Clark Kimberling's

Encyclopedia of Triangle Centers - ETC

X(62001) = X(2)X(3)∩X(395)X(41972)

X(62001) lies on these lines: {2, 3}, {395, 41972}, {396, 41971}, {1131, 43522}, {1132, 43521}, {1699, 61280}, {3098, 51026}, {3579, 50869}, {3653, 61271}, {3656, 61292}, {3818, 50978}, {4746, 18480}, {4816, 12699}, {5092, 51129}, {5349, 41107}, {5350, 41108}, {5691, 61281}, {6361, 50800}, {6490, 18538}, {6491, 18762}, {6492, 13846}, {6493, 13847}, {9812, 61251}, {10283, 28208}, {11178, 50970}, {11455, 13451}, {11488, 43639}, {11489, 43640}, {11645, 59399}, {13624, 51074}, {13925, 43257}, {13993, 43256}, {14831, 32137}, {16267, 42138}, {16268, 42135}, {16656, 45731}, {16772, 43246}, {16773, 43247}, {16808, 43645}, {16809, 43646}, {18440, 51178}, {18483, 50824}, {18907, 39563}, {19106, 42917}, {19107, 42916}, {21850, 50986}, {22791, 50831}, {23251, 43504}, {23261, 43503}, {25055, 28190}, {25561, 48874}, {28146, 61260}, {28164, 61270}, {28174, 61257}, {28186, 61275}, {28194, 38138}, {28198, 38081}, {28216, 53620}, {31162, 61244}, {31670, 50973}, {31673, 32900}, {33697, 50802}, {33698, 54891}, {34648, 37705}, {34773, 50862}, {36969, 44016}, {36970, 44015}, {37517, 51182}, {39874, 51173}, {40273, 61296}, {41953, 41958}, {41954, 41957}, {41967, 42273}, {41968, 42270}, {41973, 42898}, {41974, 42899}, {42093, 42922}, {42094, 42923}, {42101, 42972}, {42102, 42973}, {42104, 42912}, {42105, 42913}, {42117, 42693}, {42118, 42692}, {42136, 42633}, {42137, 42634}, {42153, 43109}, {42156, 43108}, {42157, 43368}, {42158, 43369}, {42215, 53517}, {42216, 53520}, {42268, 52048}, {42269, 52047}, {42494, 43634}, {42495, 43635}, {42520, 42964}, {42521, 42965}, {42557, 52046}, {42558, 52045}, {42568, 42602}, {42569, 42603}, {42584, 42910}, {42585, 42911}, {42588, 42989}, {42589, 42988}, {42627, 43398}, {42628, 43397}, {42785, 51138}, {42904, 43233}, {42905, 43232}, {42942, 43226}, {42943, 43227}, {42974, 43201}, {42975, 43202}, {43386, 43560}, {43387, 43561}, {43401, 43631}, {43402, 43630}, {43475, 61719}, {48880, 50980}, {48884, 50959}, {48895, 51183}, {48905, 50964}, {48906, 51022}, {50799, 61524}, {50803, 50826}, {50814, 50822}, {50832, 51080}, {50833, 51076}, {50864, 61295}, {50865, 61256}, {50960, 50981}, {50987, 51135}, {50988, 51131}, {51136, 51180}, {51142, 55588}, {51993, 51998}

X(62001) = midpoint of X(i) and X(j) for these {i,j}: {382, 3524}, {3543, 5055}, {3830, 3839}, {15682, 15688}
X(62001) = reflection of X(i) in X(j) for these {i,j}: {11539, 381}, {15686, 3524}, {15688, 547}, {15691, 14890}, {15704, 15688}, {17504, 3545}, {3, 14892}, {3524, 5066}, {3839, 14893}, {5, 3839}, {550, 11539}, {5055, 546}, {8703, 5055}
X(62001) = inverse of X(61996) in orthocentroidal circle
X(62001) = inverse of X(61996) in Yff hyperbola
X(62001) = complement of X(62140)
X(62001) = anticomplement of X(58187)
X(62001) = pole of line {523, 61996} with respect to the orthocentroidal circle
X(62001) = pole of line {6, 61996} with respect to the Kiepert hyperbola
X(62001) = pole of line {523, 61996} with respect to the Yff hyperbola
X(62001) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(45759)}}, {{A, B, C, X(6662), X(49133)}}, {{A, B, C, X(10109), X(54924)}}, {{A, B, C, X(11539), X(54512)}}, {{A, B, C, X(11541), X(36889)}}, {{A, B, C, X(15700), X(18550)}}, {{A, B, C, X(15703), X(54585)}}, {{A, B, C, X(48154), X(60121)}}, {{A, B, C, X(55858), X(60122)}}
X(62001) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3543, 11541}, {2, 3860, 6959}, {2, 6949, 6926}, {2, 6959, 6846}, {4, 15687, 3845}, {4, 3830, 14893}, {4, 5076, 3861}, {5, 15704, 3523}, {5, 8703, 10124}, {20, 11737, 15713}, {20, 7486, 5154}, {30, 14892, 3}, {30, 14893, 3839}, {30, 15688, 15704}, {30, 3524, 15686}, {30, 3545, 17504}, {30, 381, 11539}, {30, 3839, 5}, {30, 5066, 3524}, {30, 546, 5055}, {30, 547, 15688}, {381, 11001, 3628}, {381, 15684, 15715}, {381, 15695, 5056}, {381, 17800, 2}, {381, 3146, 12100}, {381, 382, 15695}, {381, 3830, 3146}, {381, 5056, 5066}, {547, 15704, 15711}, {549, 3845, 3858}, {550, 3845, 381}, {631, 3146, 1657}, {631, 5067, 4187}, {631, 6941, 20}, {1656, 15640, 15691}, {1656, 15710, 14890}, {1657, 10124, 8703}, {1657, 15722, 376}, {1657, 3830, 3543}, {1657, 5055, 15705}, {3545, 17504, 15699}, {3627, 3845, 549}, {3628, 11001, 15714}, {3830, 12102, 15687}, {3830, 14269, 5054}, {3830, 15703, 382}, {3832, 15681, 10109}, {3843, 15682, 547}, {3845, 15687, 3627}, {3851, 15683, 11812}, {3853, 3861, 17800}, {3856, 15690, 5071}, {3856, 5073, 14869}, {5066, 15686, 632}, {5067, 6829, 7486}, {5071, 5073, 15690}, {6880, 16845, 6961}, {10109, 15681, 15712}, {10124, 12100, 631}, {11001, 15714, 550}, {11539, 15714, 15707}, {12101, 14893, 12102}, {12102, 12103, 5076}, {12102, 14893, 3830}, {14890, 15691, 15710}, {15682, 15688, 30}, {15765, 18585, 3859}

X(62002) = X(2)X(3)∩X(6)X(43477)

X(62002) lies on these lines: {2, 3}, {6, 43477}, {13, 54579}, {14, 54578}, {15, 43368}, {16, 43369}, {316, 32892}, {371, 42608}, {372, 42609}, {590, 42577}, {615, 42576}, {671, 54815}, {1131, 6470}, {1132, 6471}, {1151, 42606}, {1152, 42607}, {1327, 54542}, {1328, 54543}, {3424, 54896}, {3817, 50866}, {4677, 9812}, {4745, 51119}, {5102, 51023}, {5343, 43253}, {5344, 43252}, {5587, 50873}, {5603, 50863}, {6468, 42604}, {6469, 42605}, {8584, 51025}, {8972, 41950}, {9589, 51070}, {9778, 50869}, {9779, 51108}, {10248, 11531}, {10516, 51029}, {11180, 55720}, {11224, 50871}, {11278, 20049}, {11648, 14930}, {12816, 43552}, {12817, 43553}, {13665, 43522}, {13785, 43521}, {13941, 41949}, {14458, 60113}, {14484, 54642}, {14490, 43699}, {14492, 54476}, {14853, 51216}, {15533, 51166}, {16194, 16981}, {16200, 50864}, {16964, 43556}, {16965, 43557}, {17503, 60147}, {18845, 54582}, {19053, 43507}, {19054, 43508}, {20070, 51068}, {20080, 48895}, {22165, 51537}, {23249, 43504}, {23259, 43503}, {30392, 50802}, {32532, 60327}, {33602, 42982}, {33603, 42983}, {33748, 50963}, {34641, 58248}, {34754, 41119}, {34755, 41120}, {35822, 43560}, {35823, 43561}, {36969, 43032}, {36970, 43033}, {38155, 50865}, {38259, 54477}, {39284, 54552}, {41107, 42133}, {41108, 42134}, {41112, 43474}, {41113, 43473}, {41121, 42104}, {41122, 42105}, {41895, 54519}, {41951, 43884}, {41952, 43883}, {42103, 46334}, {42106, 46335}, {42140, 49905}, {42141, 49906}, {42154, 42502}, {42155, 42503}, {42263, 43887}, {42264, 43888}, {42417, 52666}, {42418, 52667}, {42504, 42911}, {42505, 42910}, {42506, 49876}, {42507, 49875}, {42508, 42941}, {42509, 42940}, {42526, 43509}, {42527, 43510}, {42532, 43010}, {42533, 43011}, {42890, 42921}, {42891, 42920}, {42906, 42975}, {42907, 42974}, {42952, 43398}, {42953, 43397}, {43108, 43542}, {43109, 43543}, {43228, 43540}, {43229, 43541}, {43312, 45384}, {43313, 45385}, {43399, 49908}, {43400, 49907}, {43465, 49948}, {43466, 49947}, {43495, 49904}, {43496, 49903}, {43951, 45103}, {47353, 51214}, {47586, 54478}, {50813, 61263}, {50862, 51105}, {50867, 51705}, {50868, 51071}, {50959, 55703}, {50975, 55685}, {50990, 51024}, {50991, 51165}, {50992, 55722}, {50993, 51163}, {50994, 61044}, {51022, 51185}, {51066, 51118}, {51074, 54445}, {51213, 54173}, {51217, 51737}, {53101, 54520}, {54595, 60295}, {54596, 60296}, {54647, 60324}, {54706, 60281}, {54717, 60650}, {54726, 54794}, {54761, 54886}, {54762, 54844}, {54781, 54870}, {54813, 60145}, {54923, 60120}

X(62002) = midpoint of X(i) and X(j) for these {i,j}: {382, 15718}, {3543, 5056}
X(62002) = reflection of X(i) in X(j) for these {i,j}: {15715, 5072}, {15721, 3855}, {20, 15715}, {376, 5070}, {3525, 381}
X(62002) = anticomplement of X(62059)
X(62002) = pole of line {6, 43566} with respect to the Kiepert hyperbola
X(62002) = pole of line {69, 62054} with respect to the Wallace hyperbola
X(62002) = intersection, other than A, B, C, of circumconics {{A, B, C, X(140), X(54552)}}, {{A, B, C, X(468), X(54815)}}, {{A, B, C, X(470), X(54579)}}, {{A, B, C, X(471), X(54578)}}, {{A, B, C, X(1656), X(54923)}}, {{A, B, C, X(3525), X(54512)}}, {{A, B, C, X(3535), X(54598)}}, {{A, B, C, X(3536), X(54599)}}, {{A, B, C, X(5067), X(54585)}}, {{A, B, C, X(5071), X(54924)}}, {{A, B, C, X(10304), X(43699)}}, {{A, B, C, X(11331), X(60113)}}, {{A, B, C, X(13603), X(35472)}}, {{A, B, C, X(14490), X(55576)}}, {{A, B, C, X(15749), X(21734)}}, {{A, B, C, X(38282), X(54477)}}, {{A, B, C, X(43951), X(52293)}}, {{A, B, C, X(52283), X(54896)}}, {{A, B, C, X(52288), X(54642)}}, {{A, B, C, X(52289), X(54476)}}, {{A, B, C, X(52290), X(54519)}}, {{A, B, C, X(52292), X(60147)}}, {{A, B, C, X(52299), X(54582)}}, {{A, B, C, X(53857), X(60327)}}
X(62002) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15682, 15683}, {2, 17578, 15682}, {2, 3534, 15705}, {2, 3845, 3832}, {3, 11001, 15697}, {3, 15699, 15702}, {3, 3832, 5068}, {3, 3855, 5056}, {3, 547, 15709}, {30, 15715, 20}, {30, 381, 3525}, {30, 3855, 15721}, {30, 5070, 376}, {30, 5072, 15715}, {411, 3523, 3528}, {3090, 3523, 6857}, {3091, 3534, 2}, {3522, 3525, 15717}, {3526, 6826, 3090}, {3530, 15702, 15708}, {3543, 3545, 5059}, {3543, 5056, 30}, {3545, 11001, 11812}, {3545, 3853, 3543}, {3830, 14269, 15693}, {3830, 3845, 11001}, {3832, 15022, 3850}, {3839, 10124, 3854}, {3839, 15687, 17578}, {3839, 15697, 5066}, {3839, 15721, 3855}, {3839, 7486, 381}, {3845, 11539, 3860}, {5066, 15687, 3830}, {5066, 15698, 7486}, {5068, 17578, 3146}, {6930, 15711, 11540}, {11001, 15698, 15690}, {11539, 15691, 3}, {12102, 14869, 5076}, {14269, 15709, 3839}, {43477, 43478, 6}, {43507, 43567, 19053}, {43508, 43566, 19054}

X(62003) = X(1)X(50863)∩X(2)X(3)

X(62003) lies on these lines: {1, 50863}, {2, 3}, {6, 51216}, {10, 50873}, {69, 51211}, {141, 51029}, {590, 43406}, {615, 43405}, {962, 34641}, {1125, 50866}, {1131, 54595}, {1132, 54596}, {1327, 43516}, {1328, 43515}, {1587, 43504}, {1588, 43503}, {3244, 50864}, {3311, 54542}, {3312, 54543}, {3424, 33698}, {3589, 51167}, {3626, 50865}, {3629, 51023}, {3631, 51024}, {3632, 34648}, {3636, 50862}, {4031, 51790}, {4681, 51065}, {4686, 51064}, {5304, 39563}, {5334, 43195}, {5335, 43196}, {5365, 41107}, {5366, 41108}, {5395, 54717}, {5550, 51074}, {5734, 51095}, {6329, 51022}, {6486, 60293}, {6487, 60294}, {7583, 43522}, {7584, 43521}, {7585, 43791}, {7586, 43792}, {7811, 32886}, {8596, 22505}, {10653, 42894}, {10654, 42895}, {11008, 51215}, {11160, 48901}, {11180, 48895}, {11645, 33748}, {12816, 42779}, {12817, 42780}, {12818, 35822}, {12819, 35823}, {12820, 36970}, {12821, 36969}, {14484, 54494}, {14488, 53101}, {15431, 32225}, {15808, 34628}, {16962, 42104}, {16963, 42105}, {18581, 43397}, {18582, 43398}, {20050, 31162}, {20054, 34627}, {20057, 31673}, {20583, 36990}, {22235, 41101}, {22237, 41100}, {22793, 31145}, {28198, 54448}, {31414, 56618}, {34638, 50874}, {35242, 51078}, {35786, 43257}, {35787, 43256}, {36427, 61306}, {37640, 42781}, {37641, 42782}, {38098, 59417}, {40341, 51028}, {41895, 60132}, {41963, 42577}, {41964, 42576}, {42087, 42932}, {42088, 42933}, {42101, 43202}, {42102, 43201}, {42103, 43399}, {42106, 43400}, {42133, 43031}, {42134, 43030}, {42160, 43546}, {42161, 43547}, {42415, 42986}, {42416, 42987}, {42629, 42636}, {42630, 42635}, {42641, 43790}, {42642, 43789}, {42803, 42903}, {42804, 42902}, {42813, 49876}, {42814, 49875}, {43242, 43293}, {43243, 43292}, {43416, 43552}, {43417, 43553}, {43475, 49827}, {43476, 49826}, {43570, 54598}, {43571, 54599}, {46933, 50799}, {51133, 55646}, {51213, 54170}, {51537, 54174}, {52519, 54476}, {53100, 54896}, {53105, 54519}, {53109, 54520}, {54642, 60142}, {54720, 60147}, {54815, 60219}, {54845, 60113}, {60327, 60631}

X(62003) = midpoint of X(i) and X(j) for these {i,j}: {382, 15707}
X(62003) = reflection of X(i) in X(j) for these {i,j}: {15705, 3545}, {15709, 381}, {20, 15705}
X(62003) = inverse of X(61994) in orthocentroidal circle
X(62003) = inverse of X(61994) in Yff hyperbola
X(62003) = anticomplement of X(15710)
X(62003) = pole of line {523, 61994} with respect to the orthocentroidal circle
X(62003) = pole of line {6, 61994} with respect to the Kiepert hyperbola
X(62003) = pole of line {523, 61994} with respect to the Yff hyperbola
X(62003) = intersection, other than A, B, C, of circumconics {{A, B, C, X(253), X(15681)}}, {{A, B, C, X(3535), X(54595)}}, {{A, B, C, X(3536), X(54596)}}, {{A, B, C, X(4846), X(15711)}}, {{A, B, C, X(7486), X(54923)}}, {{A, B, C, X(8889), X(54717)}}, {{A, B, C, X(10303), X(54552)}}, {{A, B, C, X(12103), X(31361)}}, {{A, B, C, X(15692), X(57894)}}, {{A, B, C, X(15709), X(54512)}}, {{A, B, C, X(15718), X(18550)}}, {{A, B, C, X(18296), X(58193)}}, {{A, B, C, X(21400), X(58192)}}, {{A, B, C, X(31363), X(55860)}}, {{A, B, C, X(33698), X(52283)}}, {{A, B, C, X(36889), X(49135)}}, {{A, B, C, X(37453), X(54519)}}, {{A, B, C, X(52288), X(54494)}}, {{A, B, C, X(52290), X(60132)}}, {{A, B, C, X(55859), X(60618)}}
X(62003) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11737, 5056}, {2, 14269, 3839}, {2, 15683, 3528}, {2, 15700, 10303}, {2, 15710, 15708}, {2, 3146, 15681}, {2, 550, 15692}, {4, 12102, 17578}, {4, 15682, 14893}, {20, 3839, 3545}, {30, 3545, 15705}, {30, 381, 15709}, {382, 15707, 30}, {382, 546, 10299}, {546, 15687, 3830}, {546, 15690, 11737}, {546, 3525, 13587}, {546, 3529, 15022}, {548, 3845, 381}, {549, 15722, 6947}, {2050, 5076, 3}, {3523, 3543, 15640}, {3523, 7486, 632}, {3524, 15697, 10304}, {3524, 3545, 1656}, {3525, 3545, 5055}, {3543, 15697, 3146}, {3545, 15707, 11112}, {3627, 3845, 15714}, {3830, 14269, 15688}, {3830, 14893, 3525}, {3839, 10304, 3091}, {3843, 3861, 6831}, {3845, 15681, 3855}, {3855, 15696, 17583}, {3860, 5073, 15702}, {5054, 15714, 3524}, {5076, 14893, 15682}, {11812, 15692, 3523}, {12811, 14893, 3845}, {14269, 15688, 546}, {14893, 15682, 3832}, {15022, 15717, 17590}, {15640, 17578, 3543}, {15683, 15690, 20}, {17580, 17677, 2}

X(62004) = X(2)X(3)∩X(6)X(42612)

X(62004) lies on these lines: {2, 3}, {6, 42612}, {576, 48662}, {3303, 18513}, {3304, 18514}, {3426, 17505}, {3631, 55584}, {3632, 22793}, {3656, 58236}, {3818, 55580}, {5422, 52100}, {5691, 32900}, {5708, 51790}, {6154, 38755}, {6199, 22615}, {6395, 22644}, {6407, 42271}, {6408, 42272}, {6417, 42284}, {6418, 42283}, {6425, 35786}, {6426, 35787}, {6427, 23251}, {6428, 23261}, {6445, 42273}, {6446, 42270}, {6447, 6564}, {6448, 6565}, {6472, 8972}, {6473, 13941}, {6500, 23249}, {6501, 23259}, {6519, 42263}, {6522, 42264}, {7585, 60305}, {7586, 60306}, {8976, 53519}, {9690, 43406}, {9691, 18538}, {10247, 31673}, {10516, 55602}, {10620, 15044}, {11008, 39884}, {11477, 48895}, {11480, 42947}, {11481, 42946}, {11482, 36990}, {11485, 42630}, {11486, 42629}, {12111, 16982}, {12290, 13321}, {12293, 45184}, {12699, 51515}, {12818, 43516}, {12819, 43515}, {12820, 16964}, {12821, 16965}, {12902, 38791}, {13093, 18376}, {13111, 53105}, {13202, 15027}, {13886, 42643}, {13939, 42644}, {13951, 53518}, {14488, 53109}, {15025, 34584}, {15029, 15040}, {15808, 58230}, {16189, 34748}, {16625, 18439}, {17810, 43807}, {18483, 37624}, {18550, 52518}, {18874, 52093}, {19116, 43507}, {19117, 43508}, {21358, 55617}, {21400, 22334}, {22332, 39590}, {24981, 38789}, {25561, 55611}, {29012, 55701}, {29317, 55620}, {29323, 55684}, {31371, 61137}, {31399, 50869}, {31412, 42575}, {31672, 51514}, {32340, 55039}, {32787, 43570}, {32788, 43571}, {33698, 53100}, {34641, 58249}, {34747, 58240}, {35822, 42642}, {35823, 42641}, {36253, 38790}, {36969, 42780}, {36970, 42779}, {37484, 46847}, {37545, 51792}, {38021, 58232}, {38072, 55704}, {38733, 38745}, {38734, 38744}, {38757, 48680}, {40341, 48901}, {42101, 42161}, {42102, 42160}, {42104, 42166}, {42105, 42163}, {42115, 43227}, {42116, 43226}, {42125, 42165}, {42126, 42162}, {42127, 42159}, {42128, 42164}, {42130, 42598}, {42131, 42599}, {42140, 42962}, {42141, 42963}, {42275, 43881}, {42276, 43882}, {42429, 42774}, {42430, 42773}, {42431, 42938}, {42432, 42939}, {42528, 43249}, {42529, 43248}, {42561, 42574}, {42584, 42951}, {42585, 42950}, {42610, 43231}, {42611, 43230}, {42625, 42797}, {42626, 42798}, {42908, 42973}, {42909, 42972}, {42920, 43401}, {42921, 43402}, {42922, 43473}, {42923, 43474}, {42940, 42988}, {42941, 42989}, {42998, 43110}, {42999, 43111}, {43016, 43232}, {43017, 43233}, {43022, 43305}, {43023, 43304}, {43136, 53419}, {43405, 43407}, {43477, 56612}, {43478, 56613}, {43621, 55616}, {45187, 46849}, {47353, 55721}, {48884, 53093}, {48889, 53097}, {48904, 55614}, {48910, 55595}, {48942, 55687}, {48943, 55637}, {50798, 58245}, {50862, 58235}, {51024, 55583}, {51163, 55593}, {53023, 53092}, {53102, 54717}, {54494, 60142}

X(62004) = midpoint of X(i) and X(j) for these {i,j}: {382, 15720}
X(62004) = reflection of X(i) in X(j) for these {i,j}: {15720, 3855}, {3, 5072}, {3534, 15721}
X(62004) = anticomplement of X(62062)
X(62004) = pole of line {185, 61991} with respect to the Jerabek hyperbola
X(62004) = pole of line {6, 12818} with respect to the Kiepert hyperbola
X(62004) = pole of line {69, 55663} with respect to the Wallace hyperbola
X(62004) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(21735)}}, {{A, B, C, X(376), X(17505)}}, {{A, B, C, X(1173), X(23040)}}, {{A, B, C, X(3426), X(17506)}}, {{A, B, C, X(3516), X(61137)}}, {{A, B, C, X(3521), X(10299)}}, {{A, B, C, X(3522), X(21400)}}, {{A, B, C, X(3523), X(18550)}}, {{A, B, C, X(3528), X(32533)}}, {{A, B, C, X(3531), X(35477)}}, {{A, B, C, X(14893), X(18848)}}, {{A, B, C, X(15077), X(19708)}}, {{A, B, C, X(21844), X(22334)}}, {{A, B, C, X(31371), X(61138)}}, {{A, B, C, X(35473), X(52518)}}, {{A, B, C, X(37453), X(60132)}}, {{A, B, C, X(47598), X(60122)}}, {{A, B, C, X(49139), X(57897)}}
X(62004) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14269, 546}, {3, 15685, 17538}, {3, 15703, 10303}, {3, 15704, 15689}, {3, 3090, 15694}, {3, 3146, 17800}, {3, 5072, 5070}, {3, 546, 3851}, {4, 12102, 5076}, {4, 17578, 3845}, {4, 20, 14893}, {4, 3543, 3861}, {4, 382, 14269}, {20, 377, 15715}, {30, 15721, 3534}, {30, 3855, 15720}, {381, 15695, 5055}, {382, 15681, 5073}, {382, 15720, 30}, {382, 3851, 15681}, {382, 5079, 3529}, {546, 12102, 15687}, {546, 14869, 3091}, {546, 550, 3544}, {550, 12100, 3528}, {550, 15687, 3853}, {550, 3530, 10304}, {3090, 3528, 17549}, {3091, 14869, 5079}, {3091, 3529, 14869}, {3525, 5056, 3628}, {3529, 3627, 382}, {3529, 3855, 3525}, {3543, 3861, 1656}, {3627, 3628, 3146}, {3628, 3853, 3627}, {3830, 15689, 3543}, {3832, 10299, 11737}, {3832, 11541, 632}, {3839, 17538, 12811}, {3845, 10304, 381}, {3845, 17578, 1657}, {3850, 15682, 15696}, {3850, 15696, 15703}, {3851, 14269, 3843}, {3851, 17800, 15707}, {3855, 15715, 5056}, {10303, 15696, 3}, {10304, 11001, 15691}, {11001, 15701, 15695}, {12811, 17538, 3526}, {12820, 16964, 43546}, {12821, 16965, 43547}, {14269, 15687, 3830}, {15681, 15701, 15688}, {15688, 15700, 15759}, {15707, 17800, 550}, {15715, 17679, 549}, {15716, 15720, 3530}, {42612, 42613, 6}, {43195, 43367, 43196}, {43196, 43366, 43195}

X(62005) = X(2)X(3)∩X(40)X(50873)

X(62005) lies on these lines: {2, 3}, {40, 50873}, {316, 32869}, {395, 43365}, {396, 43364}, {519, 10248}, {598, 54706}, {671, 60327}, {944, 50863}, {962, 50817}, {1131, 42572}, {1132, 42573}, {1350, 51029}, {1587, 43503}, {1588, 43504}, {2996, 54815}, {3311, 43522}, {3312, 43521}, {3424, 60113}, {3623, 31673}, {3818, 54174}, {4297, 50866}, {4678, 28194}, {5032, 36990}, {5318, 43474}, {5321, 43473}, {5339, 43253}, {5340, 43252}, {5343, 41107}, {5344, 41108}, {5691, 51082}, {5921, 51178}, {5984, 9880}, {6490, 41950}, {6491, 41949}, {6776, 51216}, {7585, 41955}, {7586, 41956}, {7788, 32880}, {7809, 32840}, {7860, 32892}, {7871, 32826}, {7989, 50874}, {8796, 54552}, {8972, 53519}, {9542, 42604}, {9543, 41948}, {9589, 51072}, {9779, 34628}, {9812, 31145}, {10653, 44016}, {10654, 44015}, {11002, 32062}, {11160, 51538}, {11439, 21969}, {12279, 58470}, {12699, 20052}, {12816, 42160}, {12817, 42161}, {13579, 54886}, {13585, 54844}, {13941, 53518}, {14226, 42523}, {14241, 42522}, {14484, 54476}, {14927, 50959}, {14930, 53418}, {15305, 16981}, {16241, 43636}, {16242, 43637}, {16964, 43475}, {16965, 43476}, {17503, 60324}, {18581, 43399}, {18582, 43400}, {18845, 54520}, {19106, 43397}, {19107, 43398}, {19875, 50869}, {19876, 28158}, {19883, 50870}, {19924, 51213}, {20014, 61244}, {20049, 31162}, {20070, 50796}, {20080, 47353}, {21356, 50970}, {21358, 51026}, {21454, 51790}, {22235, 54579}, {22237, 54578}, {22793, 50872}, {23302, 42587}, {23303, 42586}, {25055, 51080}, {25565, 33750}, {28164, 61271}, {28208, 61277}, {30308, 46934}, {31423, 51078}, {32002, 54111}, {32006, 32882}, {32787, 42570}, {32788, 42571}, {32819, 32879}, {32831, 48913}, {32881, 59634}, {34632, 38127}, {38076, 46932}, {38098, 51119}, {38259, 54519}, {38314, 50862}, {39838, 41135}, {39884, 51215}, {40273, 50818}, {41895, 60147}, {41943, 42106}, {41944, 42103}, {41947, 42272}, {41961, 42263}, {41962, 42264}, {42101, 43541}, {42102, 43540}, {42104, 43403}, {42105, 43404}, {42134, 61719}, {42135, 43481}, {42138, 43482}, {42139, 43401}, {42142, 43402}, {42153, 43495}, {42156, 43496}, {42159, 49875}, {42162, 49876}, {42164, 49813}, {42165, 49812}, {42268, 43256}, {42269, 43257}, {42275, 42558}, {42276, 42557}, {42283, 42539}, {42284, 42540}, {42417, 54598}, {42418, 54599}, {42635, 42695}, {42636, 42694}, {42682, 43771}, {42683, 43772}, {42692, 42941}, {42693, 42940}, {42898, 43556}, {42899, 43557}, {42920, 46334}, {42921, 46335}, {42972, 49826}, {42973, 49827}, {43201, 43228}, {43202, 43229}, {43242, 43543}, {43243, 43542}, {43342, 43516}, {43343, 43515}, {43560, 43566}, {43561, 43567}, {43769, 49906}, {43770, 49905}, {43951, 53101}, {44882, 51167}, {45103, 60328}, {47352, 51135}, {47354, 61044}, {47586, 54896}, {48872, 50960}, {48889, 50967}, {48895, 54132}, {48901, 51028}, {48904, 50956}, {50814, 51118}, {50864, 61296}, {50973, 51212}, {51022, 59373}, {51024, 51537}, {54601, 60166}, {54642, 60118}, {54737, 54894}, {54923, 60161}, {59417, 61257}

X(62005) = midpoint of X(i) and X(j) for these {i,j}: {382, 15701}, {3528, 15682}, {7989, 50874}
X(62005) = reflection of X(i) in X(j) for these {i,j}: {15698, 3851}, {15701, 3857}, {15702, 381}, {2, 3832}, {20, 15698}, {376, 15703}, {3534, 14869}, {3851, 3845}, {31423, 51078}
X(62005) = inverse of X(61992) in orthocentroidal circle
X(62005) = inverse of X(61992) in Yff hyperbola
X(62005) = anticomplement of X(62063)
X(62005) = pole of line {523, 61992} with respect to the orthocentroidal circle
X(62005) = pole of line {6, 42539} with respect to the Kiepert hyperbola
X(62005) = pole of line {523, 61992} with respect to the Yff hyperbola
X(62005) = pole of line {69, 62056} with respect to the Wallace hyperbola
X(62005) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(468), X(60327)}}, {{A, B, C, X(631), X(54552)}}, {{A, B, C, X(1494), X(50693)}}, {{A, B, C, X(3090), X(54923)}}, {{A, B, C, X(3535), X(54542)}}, {{A, B, C, X(3536), X(54543)}}, {{A, B, C, X(4846), X(14891)}}, {{A, B, C, X(5094), X(54706)}}, {{A, B, C, X(6353), X(54815)}}, {{A, B, C, X(6820), X(54601)}}, {{A, B, C, X(7505), X(54886)}}, {{A, B, C, X(14893), X(18850)}}, {{A, B, C, X(14940), X(54844)}}, {{A, B, C, X(15686), X(16251)}}, {{A, B, C, X(15702), X(54512)}}, {{A, B, C, X(15707), X(18550)}}, {{A, B, C, X(17582), X(54932)}}, {{A, B, C, X(32952), X(54551)}}, {{A, B, C, X(32953), X(54828)}}, {{A, B, C, X(38282), X(54519)}}, {{A, B, C, X(52283), X(60113)}}, {{A, B, C, X(52288), X(54476)}}, {{A, B, C, X(52290), X(60147)}}, {{A, B, C, X(52292), X(60324)}}, {{A, B, C, X(52293), X(60328)}}, {{A, B, C, X(52299), X(54520)}}
X(62005) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3839, 3854}, {4, 13473, 7378}, {4, 15682, 14269}, {4, 376, 14893}, {20, 3543, 15684}, {30, 14869, 3534}, {30, 381, 15702}, {30, 3832, 2}, {30, 3845, 3851}, {30, 3851, 15698}, {30, 3857, 15701}, {376, 10124, 15692}, {376, 14893, 3839}, {376, 3543, 3146}, {376, 3830, 3543}, {376, 5071, 5054}, {381, 15718, 5}, {381, 3543, 15683}, {549, 15687, 3853}, {1657, 14269, 3860}, {1657, 5054, 15695}, {3146, 15022, 12103}, {3146, 3832, 3523}, {3528, 15682, 30}, {3529, 5066, 15708}, {3543, 15721, 15640}, {3545, 15681, 15721}, {3830, 14269, 1657}, {3830, 3860, 15682}, {3832, 5068, 3857}, {3845, 15684, 5071}, {3850, 15685, 15709}, {5066, 15689, 13725}, {10109, 17800, 15710}, {12100, 15681, 376}, {12102, 14893, 15687}, {14269, 15682, 3091}, {14892, 15682, 20}, {14892, 15695, 3533}, {14893, 15687, 3830}, {15022, 15721, 4217}, {15640, 15721, 15681}, {15681, 15721, 3522}, {42101, 43541, 43553}, {42102, 43540, 43552}

X(62006) = X(2)X(3)∩X(17)X(43400)

X(62006) lies on these lines: {2, 3}, {17, 43400}, {18, 43399}, {141, 55599}, {143, 32062}, {185, 58533}, {265, 46851}, {575, 51022}, {962, 61251}, {1353, 55715}, {1483, 31673}, {1503, 55714}, {1587, 6498}, {1588, 6499}, {1699, 61278}, {3411, 42165}, {3412, 42164}, {3521, 14487}, {3579, 61260}, {3656, 61290}, {3818, 55581}, {4297, 61270}, {5254, 34571}, {5318, 42923}, {5321, 42922}, {5368, 18907}, {5480, 33749}, {5690, 28232}, {5691, 61286}, {5734, 28224}, {5965, 39884}, {6101, 46847}, {6241, 13451}, {6417, 43508}, {6418, 43507}, {6431, 43516}, {6432, 43515}, {6435, 19117}, {6436, 19116}, {6470, 43316}, {6471, 43317}, {6494, 13665}, {6495, 13785}, {7583, 43791}, {7584, 43792}, {7765, 53418}, {8981, 53519}, {9588, 61259}, {9589, 61255}, {9606, 39590}, {9656, 15171}, {9668, 31410}, {9671, 18990}, {9681, 18538}, {10110, 45956}, {10248, 61245}, {10263, 46849}, {10283, 18483}, {10386, 37719}, {11362, 38138}, {11482, 51180}, {11488, 43634}, {11489, 43635}, {12290, 16881}, {12370, 16656}, {12699, 61249}, {13202, 20379}, {13474, 45957}, {13570, 14641}, {13966, 53518}, {14075, 53419}, {14449, 15305}, {14483, 43612}, {14531, 16194}, {14677, 20396}, {14855, 18874}, {15060, 15606}, {15067, 46852}, {15072, 58531}, {15178, 50862}, {15605, 22804}, {15619, 17507}, {15888, 18513}, {16621, 45731}, {16658, 45970}, {16772, 42144}, {16773, 42145}, {16808, 43630}, {16809, 43631}, {16836, 44871}, {16960, 42138}, {16961, 42135}, {16964, 42102}, {16965, 42101}, {18480, 28228}, {18492, 28178}, {18514, 37722}, {18553, 50978}, {18762, 43313}, {19106, 43293}, {19107, 43292}, {19130, 55700}, {21850, 55717}, {22791, 28236}, {22793, 28234}, {23241, 61569}, {24206, 55621}, {24470, 51790}, {28146, 31399}, {28150, 31447}, {28174, 37714}, {28182, 61261}, {28186, 61276}, {29012, 55702}, {29181, 55598}, {29317, 55619}, {31417, 44526}, {31454, 35786}, {31492, 43619}, {32340, 36966}, {33697, 38034}, {34753, 51792}, {35787, 42226}, {35812, 42271}, {35813, 42272}, {36836, 42512}, {36843, 42513}, {37727, 40273}, {38072, 51181}, {38076, 50826}, {38112, 41869}, {38136, 48884}, {38137, 43177}, {40107, 51163}, {40693, 42136}, {40694, 42137}, {41943, 43368}, {41944, 43369}, {41973, 42520}, {41974, 42521}, {42085, 42916}, {42086, 42917}, {42087, 43873}, {42088, 43874}, {42099, 43240}, {42100, 43241}, {42103, 43193}, {42104, 42156}, {42105, 42153}, {42106, 43194}, {42107, 42433}, {42110, 42434}, {42112, 42490}, {42113, 42491}, {42117, 42813}, {42118, 42814}, {42121, 43227}, {42124, 43226}, {42125, 42889}, {42128, 42888}, {42159, 42634}, {42160, 43416}, {42161, 43417}, {42162, 42633}, {42215, 43789}, {42216, 43790}, {42692, 42694}, {42693, 42695}, {42898, 42995}, {42899, 42994}, {42934, 44015}, {42935, 44016}, {42970, 43014}, {42971, 43015}, {46732, 47591}, {48874, 55609}, {48876, 55589}, {48889, 55586}, {48901, 55723}, {48904, 55613}, {48906, 55709}, {50956, 55614}, {50981, 55631}, {51143, 55611}, {51491, 52102}, {55712, 59399}

X(62006) = midpoint of X(i) and X(j) for these {i,j}: {4, 5076}, {382, 631}, {3627, 3858}, {3843, 17578}, {14093, 15682}, {15684, 15697}
X(62006) = reflection of X(i) in X(j) for these {i,j}: {1656, 546}, {15686, 15693}, {15692, 5066}, {15695, 547}, {15704, 3522}, {15712, 3091}, {15713, 381}, {17538, 140}, {17578, 3853}, {3522, 12812}, {3859, 3861}, {5, 3843}, {550, 632}, {631, 3859}, {632, 3858}, {8703, 5071}
X(62006) = inverse of X(61991) in orthocentroidal circle
X(62006) = inverse of X(61991) in Yff hyperbola
X(62006) = complement of X(62143)
X(62006) = anticomplement of X(62064)
X(62006) = pole of line {523, 61991} with respect to the orthocentroidal circle
X(62006) = pole of line {185, 14893} with respect to the Jerabek hyperbola
X(62006) = pole of line {6, 43781} with respect to the Kiepert hyperbola
X(62006) = pole of line {523, 61991} with respect to the Yff hyperbola
X(62006) = pole of line {69, 55662} with respect to the Wallace hyperbola
X(62006) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(186), X(46851)}}, {{A, B, C, X(265), X(46853)}}, {{A, B, C, X(1105), X(14893)}}, {{A, B, C, X(3520), X(14487)}}, {{A, B, C, X(3521), X(12100)}}, {{A, B, C, X(6662), X(49136)}}, {{A, B, C, X(15318), X(15681)}}, {{A, B, C, X(15688), X(21400)}}, {{A, B, C, X(15713), X(54512)}}, {{A, B, C, X(15723), X(60122)}}, {{A, B, C, X(17505), X(44245)}}, {{A, B, C, X(47599), X(60121)}}
X(62006) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 3854, 10109}, {3, 4, 14893}, {4, 12102, 15687}, {4, 13473, 1595}, {4, 15687, 3627}, {4, 3146, 14269}, {4, 3627, 3845}, {4, 382, 3861}, {5, 14869, 5067}, {5, 15687, 3853}, {5, 20, 549}, {5, 3843, 3858}, {5, 8703, 3526}, {30, 140, 17538}, {30, 15693, 15686}, {30, 3091, 15712}, {30, 3522, 15704}, {30, 381, 15713}, {30, 3853, 17578}, {30, 3858, 632}, {30, 3859, 631}, {30, 3861, 3859}, {30, 5066, 15692}, {30, 5071, 8703}, {30, 546, 1656}, {30, 547, 15695}, {30, 632, 550}, {140, 17538, 15714}, {140, 3855, 5}, {381, 3522, 12812}, {382, 3832, 548}, {546, 10109, 3854}, {548, 3861, 3832}, {550, 3845, 3857}, {550, 3857, 15699}, {550, 632, 15711}, {631, 1656, 16239}, {1656, 5076, 3830}, {1657, 5066, 14869}, {2041, 2042, 15681}, {2043, 2044, 15723}, {3146, 14269, 3850}, {3525, 10299, 15708}, {3543, 3855, 17800}, {3830, 15688, 3543}, {3839, 12103, 6917}, {3839, 16434, 3851}, {3839, 5073, 3628}, {3843, 15696, 3091}, {3851, 12103, 11539}, {3851, 15682, 12103}, {3853, 3861, 382}, {3855, 5154, 5079}, {3859, 3861, 3843}, {3860, 15684, 17504}, {5055, 7491, 5054}, {5059, 5072, 12100}, {5068, 15681, 12108}, {10299, 14269, 546}, {12101, 12102, 4}, {14093, 15682, 30}, {15022, 15688, 140}, {15688, 17800, 20}, {15698, 15708, 15718}, {15698, 17538, 3522}, {15717, 15722, 3530}, {18586, 18587, 15640}

X(62007) = X(2)X(3)∩X(13)X(43398)

X(62007) lies on these lines: {2, 3}, {13, 43398}, {14, 43397}, {98, 54896}, {165, 50803}, {193, 48895}, {262, 54642}, {315, 32892}, {390, 18513}, {395, 43242}, {396, 43243}, {485, 54598}, {486, 54599}, {511, 51211}, {515, 50863}, {516, 50840}, {553, 51790}, {598, 54520}, {671, 54519}, {962, 4677}, {1029, 54789}, {1131, 22615}, {1132, 22644}, {1327, 7585}, {1328, 7586}, {1503, 51216}, {1699, 50862}, {2996, 54477}, {3087, 18487}, {3241, 31673}, {3311, 43560}, {3312, 43561}, {3424, 17503}, {3590, 9681}, {3593, 13678}, {3595, 13798}, {3600, 18514}, {3617, 28198}, {3620, 19924}, {3622, 33697}, {3654, 54448}, {4669, 28228}, {4745, 34632}, {5334, 41107}, {5335, 41108}, {5346, 39563}, {5366, 61719}, {5395, 54582}, {5485, 54815}, {5691, 51071}, {5731, 50802}, {5734, 51097}, {5818, 28202}, {5921, 54131}, {5965, 36324}, {6033, 8596}, {6480, 43568}, {6481, 43569}, {6564, 43257}, {6565, 43256}, {7583, 43520}, {7584, 43519}, {7620, 44678}, {7750, 32893}, {7802, 32885}, {7809, 32826}, {7988, 50815}, {7989, 34638}, {7991, 51070}, {8584, 36990}, {8591, 39809}, {8796, 54512}, {8960, 42608}, {9143, 12295}, {9542, 42263}, {9544, 13482}, {9740, 18546}, {9766, 11148}, {9779, 51705}, {9812, 28234}, {9993, 61304}, {10033, 14976}, {10248, 31162}, {10653, 12817}, {10654, 12816}, {10722, 41135}, {10723, 15300}, {10991, 41154}, {11002, 11455}, {11160, 31670}, {11177, 36523}, {11180, 48901}, {11231, 50813}, {11465, 44871}, {11488, 43402}, {11489, 43401}, {11522, 51104}, {12156, 46034}, {12279, 16226}, {12699, 31145}, {13570, 20791}, {13585, 54942}, {13691, 33456}, {13810, 33457}, {13846, 43406}, {13847, 43405}, {14226, 54543}, {14241, 54542}, {14458, 41895}, {14484, 45103}, {14492, 53101}, {14537, 43448}, {14927, 38072}, {15072, 58470}, {15305, 21969}, {15355, 33880}, {15533, 51212}, {15534, 51023}, {16191, 28236}, {16960, 41119}, {16961, 41120}, {18362, 43618}, {18482, 59375}, {18483, 38314}, {18510, 42539}, {18512, 42540}, {18525, 20049}, {18581, 46334}, {18582, 46335}, {19053, 42283}, {19054, 42284}, {19106, 42510}, {19107, 42511}, {20070, 38074}, {21356, 48910}, {21849, 32062}, {22165, 51024}, {22235, 54480}, {22236, 42502}, {22237, 54479}, {22238, 42503}, {22793, 34627}, {23249, 43503}, {23259, 43504}, {25154, 36318}, {25164, 36320}, {25406, 50959}, {25561, 43621}, {28146, 50799}, {28164, 30308}, {28168, 50819}, {28172, 51074}, {28178, 50809}, {28186, 50806}, {28194, 51072}, {28204, 51092}, {28212, 50797}, {28232, 50796}, {29181, 50993}, {29317, 50956}, {29323, 50975}, {31363, 54791}, {31487, 60291}, {31672, 60984}, {31884, 50960}, {32006, 32869}, {32532, 60147}, {32785, 42537}, {32786, 42538}, {32787, 52666}, {32788, 52667}, {33602, 42136}, {33603, 42137}, {33698, 54866}, {33748, 51022}, {34628, 51108}, {35369, 48657}, {35750, 41042}, {35786, 43512}, {35787, 43511}, {35820, 42523}, {35821, 42522}, {36331, 41043}, {36427, 61315}, {36961, 47865}, {36962, 47866}, {36969, 41113}, {36970, 41112}, {36991, 60963}, {37640, 42102}, {37641, 42101}, {37712, 51120}, {37714, 51067}, {38110, 51177}, {38664, 41147}, {40693, 43016}, {40694, 43017}, {41100, 49810}, {41101, 49811}, {41121, 42085}, {41122, 42086}, {41152, 53097}, {41869, 53620}, {41979, 54634}, {41980, 54635}, {42090, 43240}, {42091, 43241}, {42093, 42683}, {42094, 42682}, {42096, 42791}, {42097, 42792}, {42103, 42513}, {42106, 42512}, {42107, 42514}, {42110, 42515}, {42117, 42803}, {42118, 42804}, {42119, 49905}, {42120, 49906}, {42122, 43246}, {42123, 43247}, {42125, 43481}, {42128, 43482}, {42135, 43109}, {42138, 43108}, {42140, 42518}, {42141, 42519}, {42154, 42777}, {42155, 42778}, {42159, 42507}, {42160, 42973}, {42161, 42972}, {42162, 42506}, {42164, 42509}, {42165, 42508}, {42215, 43522}, {42216, 43521}, {42258, 42577}, {42259, 42576}, {42413, 52045}, {42414, 52046}, {42516, 42589}, {42517, 42588}, {42524, 42603}, {42525, 42602}, {42532, 42813}, {42533, 42814}, {42557, 43336}, {42558, 43337}, {42586, 42944}, {42587, 42945}, {42609, 58866}, {42795, 43636}, {42796, 43637}, {42888, 42986}, {42889, 42987}, {42906, 43487}, {42907, 43488}, {42910, 43870}, {42911, 43869}, {43334, 43471}, {43335, 43472}, {43473, 43502}, {43474, 43501}, {43537, 54478}, {43542, 54579}, {43543, 54578}, {43951, 60281}, {47353, 50992}, {47354, 50994}, {47586, 54647}, {48884, 51171}, {48889, 61044}, {49261, 61322}, {49262, 61323}, {50868, 51095}, {50869, 51069}, {50870, 54445}, {50990, 51537}, {50991, 51163}, {51026, 51143}, {51078, 54447}, {51084, 61266}, {54476, 60127}, {54494, 54521}, {54498, 54601}, {54522, 54646}, {54531, 54923}, {54532, 54795}, {54540, 54565}, {54552, 54867}, {54585, 60161}, {54586, 54623}, {54595, 60299}, {54596, 60300}, {54622, 54687}, {54637, 60327}, {54639, 54717}, {54659, 54889}, {54666, 54870}, {54685, 54931}, {54688, 54756}, {54706, 60284}, {54726, 54766}, {54757, 54794}, {54761, 54844}, {54785, 54886}, {54813, 60647}, {54892, 60121}, {54893, 60122}, {54913, 54941}, {54924, 60193}, {54927, 54943}, {60113, 60150}, {60132, 60632}

X(62007) = midpoint of X(i) and X(j) for these {i,j}: {382, 15694}, {3091, 3543}, {15684, 15696}, {30308, 50866}
X(62007) = reflection of X(i) in X(j) for these {i,j}: {11001, 15695}, {14093, 5}, {15683, 17538}, {15692, 3091}, {15694, 3858}, {15697, 2}, {15711, 5066}, {17538, 15694}, {20, 15692}, {376, 1656}, {3522, 5071}, {3534, 15713}, {3543, 17578}, {3858, 14893}, {549, 3859}, {5071, 3843}, {5076, 15687}, {631, 381}
X(62007) = inverse of X(61989) in orthocentroidal circle
X(62007) = inverse of X(61989) in Yff hyperbola
X(62007) = complement of X(62145)
X(62007) = anticomplement of X(19708)
X(62007) = pole of line {523, 61989} with respect to the orthocentroidal circle
X(62007) = pole of line {6, 61989} with respect to the Kiepert hyperbola
X(62007) = pole of line {523, 61989} with respect to the Yff hyperbola
X(62007) = pole of line {69, 62059} with respect to the Wallace hyperbola
X(62007) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(58190)}}, {{A, B, C, X(253), X(11001)}}, {{A, B, C, X(265), X(14093)}}, {{A, B, C, X(297), X(54896)}}, {{A, B, C, X(451), X(54789)}}, {{A, B, C, X(458), X(54642)}}, {{A, B, C, X(468), X(54519)}}, {{A, B, C, X(470), X(54581)}}, {{A, B, C, X(471), X(54580)}}, {{A, B, C, X(631), X(54512)}}, {{A, B, C, X(1494), X(15697)}}, {{A, B, C, X(1585), X(54598)}}, {{A, B, C, X(1586), X(54599)}}, {{A, B, C, X(3090), X(54585)}}, {{A, B, C, X(3147), X(54879)}}, {{A, B, C, X(3424), X(52292)}}, {{A, B, C, X(3523), X(54552)}}, {{A, B, C, X(3525), X(54667)}}, {{A, B, C, X(3533), X(60122)}}, {{A, B, C, X(3545), X(54924)}}, {{A, B, C, X(3861), X(18846)}}, {{A, B, C, X(4232), X(54815)}}, {{A, B, C, X(4846), X(17504)}}, {{A, B, C, X(5056), X(54923)}}, {{A, B, C, X(5067), X(54838)}}, {{A, B, C, X(5071), X(46455)}}, {{A, B, C, X(5094), X(54520)}}, {{A, B, C, X(6353), X(54477)}}, {{A, B, C, X(7495), X(54931)}}, {{A, B, C, X(8889), X(54582)}}, {{A, B, C, X(10018), X(54870)}}, {{A, B, C, X(11331), X(41895)}}, {{A, B, C, X(14269), X(18850)}}, {{A, B, C, X(14458), X(52290)}}, {{A, B, C, X(14484), X(52293)}}, {{A, B, C, X(14940), X(54942)}}, {{A, B, C, X(15640), X(36889)}}, {{A, B, C, X(15701), X(18550)}}, {{A, B, C, X(17503), X(52283)}}, {{A, B, C, X(17538), X(31361)}}, {{A, B, C, X(18296), X(58195)}}, {{A, B, C, X(31363), X(55856)}}, {{A, B, C, X(32956), X(54897)}}, {{A, B, C, X(37462), X(54932)}}, {{A, B, C, X(45103), X(52288)}}, {{A, B, C, X(46219), X(60618)}}, {{A, B, C, X(46336), X(54704)}}, {{A, B, C, X(52289), X(53101)}}, {{A, B, C, X(53857), X(60147)}}
X(62007) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 10304}, {2, 15640, 20}, {2, 15683, 8703}, {2, 15698, 15721}, {2, 15705, 11812}, {2, 30, 15697}, {2, 3146, 11001}, {2, 3522, 15693}, {2, 3543, 15640}, {2, 3830, 3543}, {2, 3832, 5066}, {2, 8703, 3523}, {4, 15682, 3845}, {4, 3529, 3861}, {4, 3545, 14893}, {4, 376, 14269}, {4, 5076, 17578}, {5, 15685, 15698}, {5, 30, 14093}, {30, 14893, 3858}, {30, 15687, 5076}, {30, 15694, 17538}, {30, 15713, 3534}, {30, 17538, 15683}, {30, 381, 631}, {30, 3843, 5071}, {30, 3859, 549}, {30, 5066, 15711}, {30, 5071, 3522}, {376, 14269, 3832}, {376, 3544, 11539}, {381, 10304, 5056}, {381, 11539, 3544}, {381, 15707, 5}, {381, 3628, 3545}, {546, 15684, 3524}, {546, 3529, 16371}, {546, 5059, 7486}, {1656, 15706, 15694}, {1656, 3832, 3091}, {2043, 2044, 3533}, {3090, 15681, 15705}, {3146, 17697, 15704}, {3523, 10304, 15715}, {3523, 14893, 3839}, {3529, 3861, 3854}, {3534, 10109, 15719}, {3543, 10304, 3146}, {3543, 14269, 10303}, {3545, 15715, 3628}, {3627, 14893, 15706}, {3627, 15701, 15682}, {3830, 12101, 4}, {3832, 15693, 6888}, {3851, 15640, 6960}, {3851, 15686, 15709}, {5066, 15711, 1656}, {5068, 7397, 16858}, {7585, 43566, 1327}, {7586, 43567, 1328}, {10109, 15719, 2}, {10304, 15697, 15695}, {10653, 12817, 49824}, {10653, 43541, 42983}, {10654, 12816, 49825}, {10654, 43540, 42982}, {11539, 12100, 15701}, {11539, 17800, 376}, {11540, 15682, 5059}, {11541, 15709, 15686}, {11737, 15689, 3525}, {12101, 15687, 3830}, {12816, 49825, 43540}, {12817, 49824, 43541}, {14093, 15721, 15692}, {14269, 17800, 381}, {15684, 15696, 30}, {15693, 15695, 15714}, {15699, 15702, 17559}, {15703, 15704, 15710}, {30308, 50866, 28164}, {36969, 41113, 49826}, {42134, 49827, 41112}, {42940, 49947, 42589}, {42941, 49948, 42588}, {47353, 51538, 51028}

X(62008) = X(2)X(3)∩X(143)X(11455)

X(62008) lies on these lines: {2, 3}, {143, 11455}, {373, 44871}, {515, 61282}, {516, 61258}, {517, 61252}, {568, 13474}, {575, 50963}, {952, 10248}, {962, 51515}, {999, 9671}, {1159, 37721}, {1351, 48895}, {1498, 14627}, {1539, 12308}, {1619, 32365}, {1699, 37624}, {3060, 32137}, {3070, 6500}, {3071, 6501}, {3295, 9656}, {3411, 42155}, {3412, 42154}, {3426, 11572}, {3521, 3531}, {3527, 18550}, {3583, 7373}, {3585, 6767}, {3818, 55584}, {4301, 18525}, {4309, 9654}, {4317, 9669}, {4325, 10896}, {4330, 10895}, {4846, 61137}, {5024, 39590}, {5050, 48884}, {5085, 48942}, {5093, 36990}, {5319, 53419}, {5339, 42990}, {5340, 42991}, {5349, 42161}, {5350, 42160}, {5355, 43136}, {5691, 10247}, {5734, 18526}, {5735, 60884}, {5790, 51118}, {5881, 8148}, {5882, 51075}, {5890, 58533}, {5895, 18376}, {5901, 58233}, {6053, 12295}, {6101, 16261}, {6199, 35821}, {6221, 35786}, {6241, 13321}, {6243, 16194}, {6278, 22810}, {6281, 22809}, {6284, 31480}, {6395, 35820}, {6398, 35787}, {6407, 35812}, {6408, 35813}, {6417, 23251}, {6418, 23261}, {6445, 42265}, {6446, 42262}, {6472, 8981}, {6473, 13966}, {6560, 41953}, {6561, 31487}, {7747, 21309}, {7749, 15603}, {7756, 31492}, {7872, 14535}, {7989, 28154}, {7998, 11017}, {8550, 51130}, {8976, 9681}, {9588, 28146}, {9589, 18480}, {9607, 15484}, {9624, 28160}, {9655, 37722}, {9668, 15888}, {9680, 42273}, {9690, 42258}, {9698, 44526}, {9704, 26883}, {9780, 28182}, {9812, 12645}, {9955, 58230}, {10095, 12279}, {10145, 43408}, {10146, 43407}, {10246, 33697}, {10263, 11439}, {10516, 55604}, {10721, 20379}, {11002, 45957}, {11178, 55595}, {11362, 48661}, {11477, 51174}, {11485, 42813}, {11486, 42814}, {11645, 53092}, {11898, 51538}, {12000, 41698}, {12315, 18405}, {12699, 47745}, {12702, 37714}, {12902, 15063}, {12943, 37720}, {12953, 37719}, {13093, 18383}, {13202, 38724}, {13363, 52093}, {13598, 18435}, {13665, 22615}, {13785, 22644}, {13903, 42225}, {13951, 41949}, {13961, 42226}, {14128, 54047}, {14848, 51022}, {14978, 52578}, {14981, 38733}, {15041, 20396}, {15057, 34584}, {15058, 54048}, {15069, 44456}, {15171, 31410}, {15178, 50806}, {15606, 46847}, {15811, 36749}, {15851, 52945}, {16003, 38790}, {16654, 44076}, {16772, 42106}, {16773, 42103}, {16808, 43194}, {16809, 43193}, {16964, 42094}, {16965, 42093}, {17814, 37496}, {17851, 18762}, {18394, 43599}, {18436, 46849}, {18483, 61276}, {18510, 23263}, {18512, 23253}, {18553, 51024}, {18874, 20791}, {19106, 42153}, {19107, 42156}, {19130, 55697}, {20304, 38633}, {21358, 55620}, {22236, 41971}, {22238, 41972}, {22246, 53418}, {22791, 58238}, {22804, 54202}, {23269, 43508}, {23275, 43507}, {24206, 55624}, {25561, 55614}, {28172, 61268}, {28202, 50800}, {29012, 42785}, {29317, 55616}, {31414, 42215}, {31417, 31470}, {31454, 42269}, {31457, 43457}, {31467, 43619}, {31494, 57288}, {31673, 37727}, {31884, 48943}, {32062, 34783}, {32063, 34786}, {32447, 52854}, {33878, 48889}, {34754, 42691}, {34755, 42690}, {36969, 43775}, {36970, 43776}, {36991, 51514}, {37484, 44870}, {37725, 48680}, {37726, 38756}, {38072, 55701}, {38634, 61576}, {38635, 61575}, {38636, 61580}, {38637, 60759}, {38638, 61574}, {38639, 61591}, {38640, 61587}, {38732, 39838}, {38743, 39809}, {40107, 48910}, {40693, 42102}, {40694, 42101}, {40909, 52101}, {42095, 42433}, {42096, 43226}, {42097, 43227}, {42098, 42434}, {42099, 42490}, {42100, 42491}, {42104, 42128}, {42105, 42125}, {42108, 42132}, {42109, 42129}, {42115, 43633}, {42116, 43632}, {42119, 42962}, {42120, 42963}, {42136, 42815}, {42137, 42816}, {42140, 42817}, {42141, 42818}, {42149, 43401}, {42152, 43402}, {42159, 42941}, {42162, 42940}, {42164, 42988}, {42165, 42989}, {42259, 43415}, {42268, 45385}, {42431, 43399}, {42432, 43400}, {42580, 42625}, {42581, 42626}, {42779, 42964}, {42780, 42965}, {42799, 43492}, {42800, 43491}, {42934, 43366}, {42935, 43367}, {43426, 54480}, {43427, 54479}, {43523, 43568}, {43524, 43569}, {47353, 55724}, {48872, 55632}, {48879, 55648}, {48896, 55678}, {48904, 55610}, {48905, 55692}, {50957, 55602}, {50993, 55597}, {51516, 52835}, {51517, 52836}, {51518, 52837}, {53023, 53091}, {58220, 61265}, {58250, 61251}, {58531, 61136}, {59503, 61255}

X(62008) = midpoint of X(i) and X(j) for these {i,j}: {382, 3526}
X(62008) = reflection of X(i) in X(j) for these {i,j}: {15701, 381}, {15715, 6959}, {3, 3851}, {3523, 3857}, {3526, 3832}, {3528, 5}, {3534, 15702}
X(62008) = inverse of X(61988) in orthocentroidal circle
X(62008) = inverse of X(37947) in Stammler circle
X(62008) = inverse of X(61988) in Yff hyperbola
X(62008) = complement of X(62146)
X(62008) = anticomplement of X(62069)
X(62008) = pole of line {523, 61988} with respect to the orthocentroidal circle
X(62008) = pole of line {523, 37947} with respect to the Stammler circle
X(62008) = pole of line {185, 14269} with respect to the Jerabek hyperbola
X(62008) = pole of line {6, 61988} with respect to the Kiepert hyperbola
X(62008) = pole of line {523, 61988} with respect to the Yff hyperbola
X(62008) = pole of line {69, 55659} with respect to the Wallace hyperbola
X(62008) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(23040)}}, {{A, B, C, X(68), X(19708)}}, {{A, B, C, X(265), X(3528)}}, {{A, B, C, X(376), X(21400)}}, {{A, B, C, X(378), X(61137)}}, {{A, B, C, X(631), X(18550)}}, {{A, B, C, X(1105), X(14269)}}, {{A, B, C, X(1657), X(15319)}}, {{A, B, C, X(3426), X(21844)}}, {{A, B, C, X(3520), X(3531)}}, {{A, B, C, X(3521), X(3524)}}, {{A, B, C, X(3527), X(35473)}}, {{A, B, C, X(3861), X(18848)}}, {{A, B, C, X(4846), X(61138)}}, {{A, B, C, X(10124), X(60122)}}, {{A, B, C, X(13599), X(55861)}}, {{A, B, C, X(15318), X(15704)}}, {{A, B, C, X(15701), X(54512)}}, {{A, B, C, X(15715), X(15740)}}, {{A, B, C, X(17505), X(17538)}}, {{A, B, C, X(17703), X(35487)}}, {{A, B, C, X(35409), X(36889)}}, {{A, B, C, X(40448), X(55866)}}
X(62008) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 3851, 15703}, {3, 4, 14269}, {3, 5073, 15685}, {4, 15687, 5076}, {4, 3091, 14893}, {4, 3146, 3845}, {4, 3543, 546}, {5, 30, 3528}, {5, 382, 17800}, {5, 3853, 17578}, {20, 3524, 548}, {20, 3627, 382}, {20, 381, 5070}, {20, 382, 5073}, {20, 5068, 631}, {20, 631, 8703}, {30, 15702, 3534}, {30, 381, 15701}, {30, 3832, 3526}, {30, 3857, 3523}, {30, 6959, 15715}, {140, 15689, 3}, {140, 3627, 15682}, {376, 3858, 5079}, {381, 15682, 15689}, {381, 1656, 12811}, {381, 3534, 15699}, {381, 3861, 3843}, {381, 8703, 5055}, {382, 3526, 30}, {382, 3853, 3830}, {382, 5076, 3853}, {546, 8703, 5068}, {548, 3530, 15714}, {548, 3845, 3855}, {550, 3859, 5067}, {550, 5072, 15694}, {631, 15705, 3530}, {962, 51515, 58247}, {1656, 3146, 15681}, {2041, 2042, 15704}, {2043, 2044, 10124}, {3091, 15714, 1656}, {3146, 10124, 1657}, {3526, 3832, 3851}, {3528, 3832, 5}, {3543, 14269, 15722}, {3543, 5068, 11541}, {3544, 15683, 15712}, {3545, 15704, 15720}, {3627, 12811, 3146}, {3627, 3861, 20}, {3628, 5059, 15688}, {3830, 14269, 15684}, {3830, 5055, 3543}, {3830, 5073, 3627}, {3839, 5067, 3859}, {3843, 3851, 3832}, {3851, 15681, 14869}, {3853, 12101, 3861}, {3854, 11001, 632}, {3854, 17800, 6980}, {3859, 5067, 5072}, {3860, 15712, 3544}, {5054, 17800, 6882}, {5056, 12103, 15693}, {5068, 15705, 17697}, {5350, 42160, 42974}, {6989, 14892, 547}, {7540, 13488, 18562}, {8352, 14068, 7866}, {8703, 10124, 3524}, {10299, 12812, 15723}, {11539, 12108, 6897}, {12102, 15687, 4}, {12811, 14869, 3090}, {14269, 15685, 381}, {15704, 15720, 15695}, {15712, 17542, 5054}, {18383, 61721, 13093}, {18553, 51024, 55580}

X(62009) = X(2)X(3)∩X(13)X(42589)

X(62009) lies on these lines: {2, 3}, {13, 42589}, {14, 42588}, {61, 43201}, {62, 43202}, {98, 41154}, {944, 51107}, {1327, 43795}, {1328, 43796}, {1992, 48895}, {3241, 58237}, {3316, 6484}, {3317, 6485}, {3654, 50873}, {3817, 50819}, {3818, 50990}, {4677, 58248}, {4745, 41869}, {5102, 41149}, {5318, 43397}, {5321, 43398}, {5485, 44678}, {5587, 50809}, {5603, 50862}, {5691, 51097}, {6200, 42537}, {6221, 43536}, {6361, 51066}, {6396, 42538}, {6398, 54597}, {6431, 23253}, {6432, 23263}, {6433, 43210}, {6434, 43209}, {6437, 43257}, {6438, 43256}, {6486, 42413}, {6487, 42414}, {6560, 14226}, {6561, 14241}, {7612, 54478}, {9541, 43887}, {9690, 42604}, {9778, 50799}, {9779, 31662}, {10139, 42577}, {10140, 42576}, {10248, 28204}, {10385, 18513}, {10516, 50966}, {10722, 36523}, {11180, 51188}, {11455, 21849}, {11488, 46335}, {11489, 46334}, {11531, 34627}, {12117, 38746}, {12243, 41147}, {12245, 34648}, {12699, 58244}, {12816, 33602}, {12817, 33603}, {12820, 42516}, {12821, 42517}, {13665, 43566}, {13785, 43567}, {14458, 32532}, {14482, 53418}, {14492, 60281}, {14853, 51022}, {15749, 57715}, {16200, 50818}, {16808, 42952}, {16809, 42953}, {17503, 60150}, {18480, 51072}, {18483, 51105}, {18487, 40065}, {18492, 51069}, {18841, 54813}, {18842, 54582}, {19053, 43504}, {19054, 43503}, {19106, 41120}, {19107, 41119}, {19924, 50994}, {21356, 55594}, {22165, 55582}, {22791, 51092}, {22793, 34631}, {23269, 35771}, {23275, 35770}, {28150, 50874}, {28158, 50813}, {28160, 50867}, {28168, 50807}, {28178, 50800}, {28198, 51068}, {29012, 51217}, {29323, 50964}, {31162, 51096}, {31670, 50992}, {31672, 60971}, {31673, 51093}, {32787, 41957}, {32788, 41958}, {32819, 32896}, {33604, 54581}, {33605, 54580}, {33623, 49855}, {33625, 49858}, {33697, 38314}, {34754, 43400}, {34755, 43399}, {36318, 36961}, {36320, 36962}, {36324, 48665}, {36326, 48666}, {36967, 43024}, {36968, 43025}, {36969, 43031}, {36970, 43030}, {38064, 48942}, {38074, 51067}, {38155, 50810}, {38735, 41151}, {39284, 54667}, {41100, 42105}, {41101, 42104}, {41121, 42119}, {41122, 42120}, {41150, 50811}, {41152, 50967}, {41153, 43273}, {41895, 54612}, {41943, 42775}, {41944, 42776}, {42085, 49862}, {42086, 49861}, {42093, 49824}, {42094, 49825}, {42101, 49948}, {42102, 49947}, {42115, 43247}, {42116, 43246}, {42125, 43109}, {42126, 42907}, {42127, 42906}, {42128, 43108}, {42133, 43229}, {42134, 43228}, {42140, 42511}, {42141, 42510}, {42153, 42805}, {42154, 42986}, {42155, 42987}, {42156, 42806}, {42159, 42533}, {42162, 42532}, {42215, 43386}, {42216, 43387}, {42275, 42525}, {42276, 42524}, {42419, 42974}, {42420, 42975}, {42431, 49904}, {42432, 49903}, {42472, 42529}, {42473, 42528}, {42605, 43415}, {42813, 49811}, {42814, 49810}, {42912, 43364}, {42913, 43365}, {42940, 43779}, {42941, 43780}, {42962, 54579}, {42963, 54578}, {43226, 52079}, {43227, 52080}, {43401, 49906}, {43402, 49905}, {43416, 43477}, {43417, 43478}, {45103, 60127}, {47353, 51166}, {47354, 55591}, {48884, 59373}, {48889, 54170}, {48910, 50991}, {50865, 59388}, {50866, 51705}, {50871, 58241}, {50989, 51024}, {51027, 51187}, {51029, 54173}, {51110, 58231}, {51129, 59411}, {51142, 51163}, {51167, 51737}, {51186, 55607}, {51214, 51538}, {51537, 55587}, {51709, 58234}, {53101, 54707}, {54512, 54867}, {54519, 54637}, {54520, 60284}, {54523, 54642}, {54531, 54585}, {54608, 54720}, {54756, 54947}, {54760, 54789}, {54761, 54942}, {54763, 54791}, {54765, 54827}, {54792, 54809}, {54815, 60627}, {54838, 60120}, {54879, 54930}, {54896, 60185}, {54924, 56346}, {58470, 61136}

X(62009) = midpoint of X(i) and X(j) for these {i,j}: {382, 15703}, {3543, 3832}, {15682, 15698}
X(62009) = reflection of X(i) in X(j) for these {i,j}: {15700, 3857}, {15702, 3832}, {20, 15700}, {376, 3090}, {3523, 381}, {3857, 14893}
X(62009) = inverse of X(61987) in orthocentroidal circle
X(62009) = inverse of X(61987) in Yff hyperbola
X(62009) = anticomplement of X(62073)
X(62009) = pole of line {523, 61987} with respect to the orthocentroidal circle
X(62009) = pole of line {6, 61987} with respect to the Kiepert hyperbola
X(62009) = pole of line {523, 61987} with respect to the Yff hyperbola
X(62009) = pole of line {69, 15759} with respect to the Wallace hyperbola
X(62009) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15759)}}, {{A, B, C, X(140), X(54667)}}, {{A, B, C, X(297), X(54647)}}, {{A, B, C, X(548), X(15749)}}, {{A, B, C, X(1656), X(54838)}}, {{A, B, C, X(3091), X(54924)}}, {{A, B, C, X(3523), X(54512)}}, {{A, B, C, X(3845), X(18847)}}, {{A, B, C, X(3861), X(18853)}}, {{A, B, C, X(4232), X(54477)}}, {{A, B, C, X(4846), X(15706)}}, {{A, B, C, X(5056), X(54585)}}, {{A, B, C, X(7378), X(54813)}}, {{A, B, C, X(11331), X(32532)}}, {{A, B, C, X(11410), X(14483)}}, {{A, B, C, X(11738), X(35472)}}, {{A, B, C, X(14458), X(53857)}}, {{A, B, C, X(14490), X(55572)}}, {{A, B, C, X(15750), X(57715)}}, {{A, B, C, X(18296), X(58196)}}, {{A, B, C, X(37174), X(54478)}}, {{A, B, C, X(46219), X(54660)}}, {{A, B, C, X(46935), X(60121)}}, {{A, B, C, X(52284), X(54582)}}, {{A, B, C, X(52290), X(54612)}}, {{A, B, C, X(52292), X(60150)}}, {{A, B, C, X(52293), X(60127)}}, {{A, B, C, X(54763), X(55856)}}
X(62009) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15722}, {2, 15695, 3524}, {2, 15697, 15716}, {2, 20, 15759}, {2, 3861, 6833}, {4, 11001, 3845}, {4, 11541, 3843}, {4, 17578, 3529}, {4, 3525, 3861}, {4, 5071, 14269}, {30, 14893, 3857}, {30, 15700, 20}, {30, 381, 3523}, {30, 3832, 15702}, {30, 3857, 15700}, {376, 3545, 3533}, {381, 17504, 15022}, {381, 3529, 15709}, {381, 5067, 3545}, {3090, 10299, 3526}, {3146, 14269, 5071}, {3146, 3839, 15718}, {3528, 15701, 15698}, {3529, 15682, 15640}, {3534, 15718, 8703}, {3534, 3830, 3627}, {3543, 11001, 15682}, {3543, 15708, 3146}, {3543, 3839, 5059}, {3545, 15702, 3090}, {3830, 3845, 3543}, {3839, 15022, 381}, {3839, 5059, 547}, {3845, 15640, 5067}, {3845, 15686, 5066}, {3845, 3853, 3830}, {3845, 8703, 3850}, {3861, 6927, 631}, {6981, 14093, 13745}, {10109, 15722, 2}, {10304, 13741, 549}, {11001, 15719, 376}, {11737, 17800, 15705}, {11812, 15640, 11001}, {12102, 17578, 4}, {12816, 37640, 33602}, {12817, 37641, 33603}, {15022, 15640, 3534}, {15682, 15698, 30}, {15698, 15702, 15719}, {15709, 15719, 11812}

X(62010) = X(2)X(3)∩X(13)X(42888)

X(62010) lies on these lines: {2, 3}, {13, 42888}, {14, 42889}, {671, 54852}, {4669, 28212}, {5093, 51216}, {5349, 42935}, {5350, 42934}, {5790, 50873}, {5886, 50866}, {9779, 50832}, {10247, 50863}, {10248, 61597}, {12816, 42940}, {12817, 42941}, {13665, 43406}, {13785, 43405}, {14458, 60630}, {14561, 51167}, {16241, 43649}, {16242, 43644}, {16962, 54480}, {16963, 54479}, {16964, 42419}, {16965, 42420}, {17503, 60323}, {18510, 43521}, {18512, 43522}, {19106, 33606}, {19107, 33607}, {20582, 48943}, {22615, 43342}, {22644, 43343}, {28146, 51069}, {28154, 50803}, {28160, 51085}, {28168, 50870}, {28174, 50827}, {28178, 50869}, {28186, 51103}, {28190, 50802}, {28216, 50796}, {28224, 51087}, {29012, 51138}, {29317, 51143}, {32455, 48895}, {33602, 43466}, {33603, 43465}, {37640, 42688}, {37641, 42689}, {37832, 43368}, {37835, 43369}, {40273, 51071}, {41100, 42101}, {41101, 42102}, {41119, 43298}, {41120, 43299}, {41121, 43402}, {41122, 43401}, {41953, 43381}, {41954, 43380}, {42087, 43544}, {42088, 43545}, {42103, 43247}, {42104, 49947}, {42105, 49948}, {42106, 43246}, {42122, 49907}, {42123, 49908}, {42126, 43397}, {42127, 43398}, {42135, 42510}, {42136, 43228}, {42137, 43229}, {42138, 42511}, {42143, 42792}, {42146, 42791}, {42154, 49811}, {42155, 49810}, {42164, 42532}, {42165, 42533}, {42215, 43503}, {42216, 43504}, {42263, 43526}, {42264, 43525}, {42270, 42524}, {42273, 42525}, {42429, 43102}, {42430, 43103}, {42502, 42695}, {42503, 42694}, {42506, 42925}, {42507, 42924}, {42522, 60289}, {42523, 60290}, {42588, 42634}, {42589, 42633}, {42631, 42686}, {42632, 42687}, {42682, 43418}, {42683, 43419}, {42692, 43367}, {42693, 43366}, {42815, 43477}, {42816, 43478}, {42972, 43491}, {42973, 43492}, {43382, 45385}, {43383, 45384}, {47353, 50985}, {48661, 51072}, {48874, 51186}, {48889, 50991}, {50820, 61266}, {50822, 54448}, {51070, 61255}, {51076, 61267}, {51133, 55649}, {51182, 54132}, {52047, 53519}, {52048, 53518}, {53106, 54608}, {53107, 54643}, {54477, 60250}, {54493, 60175}, {54582, 60649}, {54646, 60192}, {54890, 60282}, {60228, 60326}, {60325, 60632}

X(62010) = midpoint of X(i) and X(j) for these {i,j}: {382, 547}, {546, 3543}, {548, 15684}, {3146, 15691}, {3627, 14893}, {3830, 12101}, {3853, 15687}, {12100, 15682}, {20582, 48943}
X(62010) = reflection of X(i) in X(j) for these {i,j}: {10109, 3845}, {10124, 546}, {11737, 3861}, {11812, 3860}, {12102, 15687}, {14891, 3850}, {15686, 12108}, {15691, 16239}, {15759, 5066}, {3530, 381}, {3534, 11540}, {3850, 14893}, {549, 3856}
X(62010) = inverse of X(61986) in orthocentroidal circle
X(62010) = inverse of X(61986) in Yff hyperbola
X(62010) = anticomplement of X(46332)
X(62010) = pole of line {523, 61986} with respect to the orthocentroidal circle
X(62010) = pole of line {6, 61986} with respect to the Kiepert hyperbola
X(62010) = pole of line {523, 61986} with respect to the Yff hyperbola
X(62010) = intersection, other than A, B, C, of circumconics {{A, B, C, X(468), X(54852)}}, {{A, B, C, X(3530), X(54512)}}, {{A, B, C, X(5079), X(54585)}}, {{A, B, C, X(11331), X(60630)}}, {{A, B, C, X(13623), X(15711)}}, {{A, B, C, X(38071), X(54924)}}, {{A, B, C, X(52292), X(60323)}}, {{A, B, C, X(52297), X(54608)}}, {{A, B, C, X(52298), X(54643)}}
X(62010) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 14093}, {2, 14891, 11812}, {2, 1657, 8703}, {2, 3830, 3627}, {4, 3534, 3845}, {4, 3543, 5055}, {4, 3628, 3861}, {4, 382, 3857}, {30, 11540, 3534}, {30, 12108, 15686}, {30, 14893, 3850}, {30, 15687, 12102}, {30, 16239, 15691}, {30, 381, 3530}, {30, 3845, 10109}, {30, 3850, 14891}, {30, 3856, 549}, {30, 3861, 11737}, {30, 5066, 15759}, {30, 546, 10124}, {381, 15708, 5}, {547, 5054, 4205}, {548, 5066, 2}, {1657, 15700, 15689}, {1657, 5068, 15712}, {3525, 15701, 15713}, {3530, 15759, 15698}, {3530, 3850, 12812}, {3534, 15701, 10304}, {3534, 3845, 5066}, {3627, 15712, 382}, {3628, 14891, 14890}, {3830, 12102, 3860}, {3830, 15687, 12101}, {3843, 15684, 15706}, {3843, 15686, 14892}, {3845, 15682, 12100}, {3845, 15713, 381}, {3851, 6850, 1656}, {3853, 12101, 3830}, {3857, 10304, 547}, {3857, 15704, 3525}, {5055, 15684, 1657}, {5066, 12101, 4}, {6969, 15709, 15683}, {10109, 11540, 3628}, {10109, 15759, 11540}, {12100, 15682, 30}, {14892, 14893, 3843}, {14892, 15686, 12108}, {15686, 15706, 548}, {15698, 15704, 15690}, {15705, 17578, 3543}

X(62011) = X(2)X(3)∩X(13)X(42516)

X(62011) lies on these lines: {2, 3}, {13, 42516}, {14, 42517}, {40, 50869}, {671, 60325}, {944, 50862}, {1327, 60309}, {1328, 60310}, {1350, 51026}, {3316, 53130}, {3317, 53131}, {3619, 48943}, {3630, 47353}, {3633, 31673}, {3656, 10248}, {3679, 28232}, {4297, 50870}, {4668, 28194}, {5334, 42683}, {5335, 42682}, {5339, 49826}, {5340, 49827}, {5349, 42899}, {5350, 42898}, {5365, 43229}, {5366, 43228}, {5485, 60326}, {5691, 50818}, {5818, 50809}, {5965, 51538}, {6144, 54132}, {6459, 14241}, {6460, 14226}, {6490, 42263}, {6491, 42264}, {6492, 41952}, {6493, 41951}, {6560, 43800}, {6561, 43799}, {6776, 51022}, {7612, 54493}, {7753, 14482}, {7773, 32876}, {7788, 32877}, {7809, 32822}, {7987, 51074}, {8227, 50819}, {9812, 34631}, {10595, 28208}, {10653, 42897}, {10654, 42896}, {10733, 56567}, {11455, 14831}, {11645, 51176}, {12243, 39838}, {12245, 50865}, {12290, 21849}, {12699, 20053}, {12820, 34754}, {12821, 34755}, {13482, 26883}, {13886, 43257}, {13903, 54542}, {13939, 43256}, {13961, 54543}, {14492, 18844}, {14494, 54646}, {16267, 43022}, {16268, 43023}, {16808, 42512}, {16809, 42513}, {16960, 42140}, {16961, 42141}, {16962, 43013}, {16963, 43012}, {18394, 32601}, {18842, 54890}, {18912, 51996}, {19053, 22644}, {19054, 22615}, {19106, 42902}, {19107, 42903}, {19875, 50874}, {19924, 51029}, {21356, 48889}, {21358, 51164}, {22793, 50864}, {23267, 43406}, {23269, 43522}, {23273, 43405}, {23275, 43521}, {28198, 50873}, {28228, 34648}, {28234, 34627}, {28236, 31162}, {31672, 60976}, {32532, 54857}, {32819, 32875}, {33602, 40693}, {33603, 40694}, {33604, 42988}, {33605, 42989}, {35820, 43504}, {35821, 43503}, {35822, 52666}, {35823, 52667}, {36990, 50974}, {37640, 42104}, {37641, 42105}, {37832, 52079}, {37835, 52080}, {38314, 50867}, {39874, 48895}, {39884, 51028}, {40330, 50966}, {41112, 43492}, {41113, 43491}, {41119, 42432}, {41120, 42431}, {41943, 42142}, {41944, 42139}, {42085, 43542}, {42086, 43543}, {42101, 42778}, {42102, 42777}, {42111, 42429}, {42112, 42929}, {42113, 42928}, {42114, 42430}, {42115, 43555}, {42116, 43554}, {42117, 43540}, {42118, 43541}, {42122, 43493}, {42123, 43494}, {42133, 42941}, {42134, 42940}, {42147, 49874}, {42148, 49873}, {42157, 49862}, {42158, 49861}, {42159, 42436}, {42162, 42435}, {42163, 42519}, {42166, 42518}, {42260, 42537}, {42261, 42538}, {42433, 43369}, {42434, 43368}, {42496, 43243}, {42497, 43242}, {42510, 42801}, {42511, 42802}, {42514, 42631}, {42515, 42632}, {42520, 42973}, {42521, 42972}, {42775, 43632}, {42776, 43633}, {42813, 49813}, {42814, 49812}, {42926, 49908}, {42927, 49907}, {43195, 43778}, {43196, 43777}, {43397, 43402}, {43398, 43401}, {43416, 43466}, {43417, 43465}, {43418, 43488}, {43419, 43487}, {43446, 54574}, {43447, 54575}, {43505, 51911}, {43506, 51910}, {43525, 54596}, {43526, 54595}, {43562, 60303}, {43563, 60304}, {43566, 60289}, {43567, 60290}, {46267, 48942}, {47352, 51177}, {48874, 50957}, {48898, 50964}, {48901, 51023}, {50810, 51118}, {50868, 61296}, {50967, 51163}, {51043, 52852}, {51129, 53094}, {51179, 51212}, {51217, 59373}, {53106, 60150}, {53107, 60127}, {54720, 60323}, {54845, 60630}, {54852, 60219}, {60281, 60329}

X(62011) = midpoint of X(i) and X(j) for these {i,j}: {631, 15682}, {3146, 15697}, {3830, 5076}, {14093, 15684}, {51029, 51537}
X(62011) = reflection of X(i) in X(j) for these {i,j}: {1656, 3845}, {11001, 3522}, {15681, 15714}, {15692, 381}, {15693, 3858}, {15695, 5}, {15697, 1656}, {15711, 3859}, {15713, 546}, {17538, 2}, {17578, 3830}, {2, 3843}, {20, 15693}, {376, 5071}, {3534, 632}, {50809, 5818}, {50819, 8227}, {50966, 40330}, {53094, 51129}, {7987, 51074}
X(62011) = inverse of X(61983) in orthocentroidal circle
X(62011) = inverse of X(61983) in Yff hyperbola
X(62011) = anticomplement of X(14093)
X(62011) = pole of line {523, 61983} with respect to the orthocentroidal circle
X(62011) = pole of line {6, 61983} with respect to the Kiepert hyperbola
X(62011) = pole of line {523, 61983} with respect to the Yff hyperbola
X(62011) = pole of line {69, 45759} with respect to the Wallace hyperbola
X(62011) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(45759)}}, {{A, B, C, X(253), X(58204)}}, {{A, B, C, X(265), X(15695)}}, {{A, B, C, X(468), X(60325)}}, {{A, B, C, X(547), X(54838)}}, {{A, B, C, X(632), X(54660)}}, {{A, B, C, X(1494), X(17538)}}, {{A, B, C, X(3839), X(18847)}}, {{A, B, C, X(3843), X(18849)}}, {{A, B, C, X(3845), X(18852)}}, {{A, B, C, X(4232), X(60326)}}, {{A, B, C, X(4846), X(15700)}}, {{A, B, C, X(5054), X(54667)}}, {{A, B, C, X(5070), X(54763)}}, {{A, B, C, X(15684), X(36889)}}, {{A, B, C, X(15691), X(43699)}}, {{A, B, C, X(15692), X(54512)}}, {{A, B, C, X(18844), X(52289)}}, {{A, B, C, X(18851), X(50689)}}, {{A, B, C, X(21734), X(54552)}}, {{A, B, C, X(31361), X(58195)}}, {{A, B, C, X(37174), X(54493)}}, {{A, B, C, X(46936), X(60121)}}, {{A, B, C, X(52284), X(54890)}}, {{A, B, C, X(52297), X(60150)}}, {{A, B, C, X(52298), X(60127)}}, {{A, B, C, X(53857), X(54857)}}, {{A, B, C, X(55864), X(60122)}}
X(62011) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15718, 15702}, {2, 30, 17538}, {2, 3543, 15684}, {2, 3839, 3850}, {4, 11541, 3832}, {4, 17538, 3843}, {4, 3524, 3845}, {4, 3544, 3861}, {5, 30, 15695}, {20, 12102, 4}, {20, 547, 15715}, {30, 15693, 20}, {30, 15714, 15681}, {30, 3522, 11001}, {30, 381, 15692}, {30, 3830, 17578}, {30, 3845, 1656}, {30, 3858, 15693}, {30, 3859, 15711}, {30, 546, 15713}, {30, 632, 3534}, {376, 3090, 549}, {376, 3543, 15682}, {381, 15681, 10124}, {381, 15684, 15686}, {382, 12101, 3839}, {547, 15715, 15709}, {549, 15687, 12101}, {1656, 15681, 15714}, {1656, 15697, 3524}, {1657, 3843, 12812}, {3090, 11001, 15710}, {3524, 3845, 3855}, {3529, 3545, 15698}, {3534, 11737, 15721}, {3545, 15682, 3529}, {3627, 12101, 15689}, {3627, 12102, 5072}, {3627, 15684, 3543}, {3627, 15687, 14893}, {3627, 3850, 382}, {3832, 11541, 10299}, {3832, 15721, 11737}, {3839, 11001, 3090}, {3839, 15710, 3545}, {3843, 15684, 14093}, {3843, 15712, 3091}, {3859, 15711, 5055}, {3860, 15688, 5056}, {3861, 5059, 3544}, {11541, 11737, 376}, {14093, 15684, 30}, {14093, 15694, 15712}, {14269, 15693, 3858}, {14893, 15684, 2}, {14893, 15686, 381}, {15681, 15714, 15697}, {15687, 17578, 5071}, {15693, 15709, 631}, {40693, 43201, 33602}, {40694, 43202, 33603}, {42588, 43202, 40694}, {42589, 43201, 40693}, {51029, 51537, 19924}

X(62012) = X(2)X(3)∩X(371)X(43380)

X(62012) lies on these lines: {2, 3}, {371, 43380}, {372, 43381}, {516, 38081}, {3818, 50982}, {5318, 43400}, {5321, 43399}, {6417, 43522}, {6418, 43521}, {7583, 43503}, {7584, 43504}, {9681, 42577}, {9955, 50832}, {11178, 51026}, {11180, 51183}, {12702, 50873}, {12816, 42164}, {12817, 42165}, {16267, 42102}, {16268, 42101}, {16962, 42138}, {16963, 42135}, {18357, 50822}, {18358, 51184}, {18480, 50827}, {18481, 50866}, {18483, 51085}, {18492, 50874}, {18526, 50863}, {19130, 50987}, {19875, 28182}, {21849, 45957}, {21850, 51140}, {21969, 32137}, {22791, 51087}, {28150, 61260}, {28154, 38076}, {28158, 38083}, {28164, 38022}, {28168, 61270}, {28174, 61254}, {28186, 61279}, {28190, 38021}, {28194, 59400}, {28198, 38138}, {28216, 38074}, {31162, 50831}, {31730, 50826}, {32787, 43340}, {32788, 43341}, {33697, 50824}, {33878, 51029}, {34648, 50823}, {35255, 43337}, {35256, 43336}, {36430, 59657}, {36969, 42922}, {36970, 42923}, {37640, 42888}, {37641, 42889}, {37705, 50830}, {37832, 42684}, {37835, 42685}, {39899, 51216}, {40273, 61284}, {42087, 43483}, {42088, 43484}, {42093, 42634}, {42094, 42633}, {42104, 43416}, {42105, 43417}, {42117, 42895}, {42118, 42894}, {42121, 43025}, {42124, 43024}, {42129, 43648}, {42132, 43647}, {42133, 42689}, {42134, 42688}, {42140, 42496}, {42141, 42497}, {42157, 43475}, {42158, 43476}, {42268, 42640}, {42269, 42639}, {42275, 43211}, {42276, 43212}, {42415, 42516}, {42416, 42517}, {42727, 43629}, {42728, 43628}, {42795, 43226}, {42796, 43227}, {42940, 42973}, {42941, 42972}, {42964, 61719}, {42970, 43007}, {42971, 43006}, {43000, 43328}, {43001, 43329}, {43150, 50978}, {43338, 43569}, {43339, 43568}, {43430, 52047}, {43431, 52048}, {46264, 51167}, {48880, 50960}, {48881, 50981}, {48884, 50979}, {48895, 51022}, {48942, 51737}, {48943, 50965}, {50865, 61250}, {50986, 54131}

X(62012) = midpoint of X(i) and X(j) for these {i,j}: {382, 3545}, {3146, 15689}, {3543, 14269}, {5054, 15682}, {10304, 15684}
X(62012) = reflection of X(i) in X(j) for these {i,j}: {10304, 5066}, {11539, 3839}, {14269, 12101}, {15686, 5054}, {15688, 14892}, {15689, 547}, {15699, 3845}, {15704, 10304}, {17504, 381}, {3545, 14893}, {5, 14269}, {550, 15699}, {5054, 546}, {8703, 3545}
X(62012) = anticomplement of X(41982)
X(62012) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(13623), X(14891)}}, {{A, B, C, X(15723), X(18550)}}, {{A, B, C, X(17504), X(54512)}}
X(62012) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 5072, 13741}, {4, 15640, 381}, {4, 17800, 546}, {4, 3543, 3534}, {4, 5072, 3861}, {5, 8703, 15694}, {30, 10304, 15704}, {30, 12101, 14269}, {30, 14269, 5}, {30, 14892, 15688}, {30, 14893, 3545}, {30, 15699, 550}, {30, 3545, 8703}, {30, 381, 17504}, {30, 3845, 15699}, {30, 5066, 10304}, {30, 546, 5054}, {30, 547, 15689}, {376, 5072, 11540}, {381, 15022, 5066}, {381, 15640, 548}, {381, 3830, 17578}, {548, 12102, 4}, {548, 3628, 3523}, {549, 3845, 3857}, {1657, 10109, 15714}, {3146, 6834, 15684}, {3522, 3543, 15682}, {3523, 15640, 15683}, {3523, 15694, 11812}, {3529, 5067, 3522}, {3529, 5076, 12102}, {3534, 5055, 3524}, {3543, 5076, 12101}, {3545, 15683, 15706}, {3545, 15706, 3628}, {3627, 12102, 632}, {3627, 15687, 3845}, {3627, 3858, 382}, {3830, 15687, 3627}, {3830, 3853, 15687}, {3830, 5076, 3543}, {3832, 15685, 10124}, {3839, 15688, 14892}, {3850, 15681, 15713}, {5055, 10304, 14890}, {5066, 14890, 5055}, {8703, 14893, 3858}, {10304, 15022, 15709}, {10304, 15684, 30}, {11001, 11737, 15712}, {14892, 15688, 11539}, {15698, 17678, 15720}, {15709, 17504, 549}, {15759, 17800, 15686}

X(62013) = X(2)X(3)∩X(6)X(43515)

X(62013) lies on these lines: {2, 3}, {6, 43515}, {17, 42108}, {18, 42109}, {141, 55605}, {395, 12821}, {396, 12820}, {397, 42136}, {398, 42137}, {576, 51022}, {1503, 55715}, {1539, 24981}, {3070, 6435}, {3071, 6436}, {3244, 22793}, {3411, 43109}, {3412, 43108}, {3519, 46851}, {3564, 55719}, {3626, 28174}, {3629, 48901}, {3631, 18553}, {3632, 61247}, {3636, 28160}, {3818, 55589}, {3982, 12433}, {5254, 14075}, {5270, 15172}, {5318, 42630}, {5321, 42629}, {5339, 42105}, {5340, 42104}, {5343, 42127}, {5344, 42126}, {5349, 19106}, {5350, 19107}, {5480, 55712}, {5493, 18357}, {5844, 31673}, {5882, 33697}, {5893, 45185}, {6000, 12002}, {6147, 51790}, {6154, 22799}, {6199, 43376}, {6329, 15807}, {6395, 43377}, {6417, 43507}, {6418, 43508}, {6453, 43409}, {6454, 43410}, {6560, 43433}, {6561, 43432}, {6688, 55286}, {7583, 53519}, {7584, 53518}, {7780, 53144}, {8550, 48884}, {8960, 42271}, {10187, 42429}, {10188, 42430}, {10222, 50862}, {10263, 32062}, {10627, 46847}, {10722, 61600}, {10723, 61599}, {10724, 61605}, {10725, 61604}, {10727, 61602}, {10728, 61601}, {10732, 61603}, {10733, 61598}, {10990, 11801}, {11017, 13348}, {11522, 61279}, {11542, 42432}, {11543, 42431}, {12295, 13142}, {12816, 42635}, {12817, 42636}, {12818, 43570}, {12819, 43571}, {13364, 14641}, {13382, 16881}, {13391, 46849}, {13392, 46686}, {13419, 51998}, {13421, 13598}, {13451, 13491}, {13464, 28186}, {13570, 32205}, {13925, 42263}, {13993, 42264}, {14487, 14861}, {14488, 53102}, {15003, 58531}, {16194, 31834}, {16621, 32423}, {16964, 42909}, {16965, 42908}, {17704, 44871}, {18358, 48904}, {18376, 61540}, {18480, 28216}, {18481, 61274}, {18483, 28190}, {18583, 55707}, {19116, 52667}, {19117, 52666}, {19925, 28182}, {20054, 61245}, {20424, 32111}, {22791, 61291}, {23253, 43405}, {23263, 43406}, {25555, 55700}, {28150, 61259}, {28168, 61272}, {28178, 43174}, {28198, 61255}, {28212, 51118}, {28228, 61253}, {29181, 55592}, {29317, 55609}, {32142, 46852}, {32340, 50708}, {32767, 50709}, {32785, 43312}, {32786, 43313}, {33698, 60334}, {34380, 55723}, {34507, 51163}, {34545, 52100}, {34641, 61249}, {34786, 44762}, {35786, 41963}, {35787, 41964}, {36969, 43111}, {36970, 43110}, {37832, 42794}, {37835, 42793}, {39884, 40341}, {41869, 61254}, {41973, 42940}, {41974, 42941}, {42096, 42627}, {42097, 42628}, {42101, 42158}, {42102, 42157}, {42112, 43238}, {42113, 43239}, {42115, 42776}, {42116, 42775}, {42122, 43366}, {42123, 43367}, {42125, 43769}, {42128, 43770}, {42130, 43197}, {42131, 43198}, {42135, 42151}, {42138, 42150}, {42140, 42988}, {42141, 42989}, {42143, 42978}, {42144, 42152}, {42145, 42149}, {42146, 42979}, {42163, 42938}, {42164, 43416}, {42165, 43417}, {42166, 42939}, {42225, 42643}, {42226, 42644}, {42268, 43524}, {42269, 43523}, {42272, 58866}, {42433, 42946}, {42434, 42947}, {42496, 42813}, {42497, 42814}, {42568, 43337}, {42569, 43336}, {42584, 42944}, {42585, 42945}, {42612, 42991}, {42613, 42990}, {42645, 43626}, {42646, 43627}, {42684, 43636}, {42685, 43637}, {42797, 43227}, {42798, 43226}, {42970, 43030}, {42971, 43031}, {43479, 43647}, {43480, 43648}, {43676, 50251}, {43773, 44015}, {43774, 44016}, {48889, 55599}, {48895, 55713}, {48910, 61545}, {48942, 51732}, {48943, 55619}, {50956, 55626}, {51095, 61290}, {51143, 55617}, {53100, 53105}, {53109, 60142}, {54494, 60332}

X(62013) = midpoint of X(i) and X(j) for these {i,j}: {382, 546}, {547, 15682}, {548, 3146}, {3543, 12101}, {3627, 3853}, {10722, 61600}, {10723, 61599}, {10724, 61605}, {10725, 61604}, {10727, 61602}, {10728, 61601}, {10732, 61603}, {10733, 61598}, {12100, 15684}, {13598, 32137}, {18358, 48904}, {33697, 40273}, {41869, 61510}, {48910, 61545}
X(62013) = reflection of X(i) in X(j) for these {i,j}: {10109, 14893}, {10124, 3845}, {12102, 3853}, {12103, 16239}, {13348, 11017}, {13392, 46686}, {14891, 3860}, {15686, 11540}, {15759, 381}, {17704, 44871}, {20, 12108}, {3, 3856}, {3530, 546}, {3628, 3861}, {3850, 4}, {3861, 12102}, {32142, 46852}, {548, 12811}, {51700, 18483}
X(62013) = complement of X(62151)
X(62013) = anticomplement of X(62087)
X(62013) = pole of line {185, 61976} with respect to the Jerabek hyperbola
X(62013) = pole of line {6, 42904} with respect to the Kiepert hyperbola
X(62013) = pole of line {69, 55652} with respect to the Wallace hyperbola
X(62013) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(44245)}}, {{A, B, C, X(3518), X(46851)}}, {{A, B, C, X(3519), X(46853)}}, {{A, B, C, X(3521), X(14869)}}, {{A, B, C, X(6662), X(15682)}}, {{A, B, C, X(12100), X(14861)}}, {{A, B, C, X(14487), X(14865)}}, {{A, B, C, X(15717), X(43970)}}, {{A, B, C, X(15759), X(54512)}}, {{A, B, C, X(18550), X(55857)}}, {{A, B, C, X(37453), X(53100)}}, {{A, B, C, X(40448), X(47598)}}
X(62013) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14893, 3856}, {3, 3856, 10109}, {4, 15682, 3523}, {4, 1656, 3845}, {4, 1657, 3858}, {4, 30, 3850}, {4, 3146, 1656}, {4, 3523, 3843}, {4, 5059, 381}, {5, 15704, 15711}, {5, 3627, 3543}, {5, 550, 15720}, {20, 5066, 12108}, {20, 5079, 17504}, {20, 6956, 15703}, {30, 11540, 15686}, {30, 12102, 3861}, {30, 12108, 20}, {30, 16239, 12103}, {30, 3845, 10124}, {30, 3853, 12102}, {30, 3856, 3}, {30, 3860, 14891}, {30, 3861, 3628}, {140, 546, 3851}, {381, 12103, 16239}, {382, 12102, 11737}, {382, 14269, 3529}, {382, 15681, 3146}, {382, 15687, 546}, {382, 15720, 5073}, {382, 5076, 14269}, {546, 14869, 12811}, {546, 3853, 15687}, {548, 12103, 15697}, {550, 15712, 3528}, {632, 17800, 15690}, {1656, 15697, 15712}, {1657, 10299, 550}, {1657, 3851, 10299}, {1657, 3858, 140}, {3146, 3855, 15681}, {3524, 10124, 11812}, {3529, 14269, 5}, {3529, 17567, 15695}, {3529, 3543, 382}, {3529, 3855, 3524}, {3530, 10124, 14869}, {3627, 3830, 3853}, {3628, 3861, 3860}, {3830, 17578, 3627}, {3832, 8703, 12812}, {3839, 17800, 632}, {3843, 14093, 7402}, {3843, 15682, 15704}, {3843, 15688, 3544}, {3843, 15704, 547}, {3845, 14869, 3855}, {3850, 12102, 4}, {3853, 12101, 5076}, {5349, 19106, 42924}, {12100, 15684, 30}, {12103, 16239, 15759}, {12108, 17504, 3530}, {14269, 15687, 12101}, {14869, 15681, 548}, {19106, 43547, 43485}, {19107, 43546, 43486}, {42924, 43485, 42416}, {42925, 43486, 42415}, {43195, 43486, 43546}, {43195, 43546, 5350}, {43196, 43485, 43547}, {43196, 43547, 5349}, {43515, 43516, 6}

X(62014) = X(2)X(3)∩X(13)X(42907)

X(62014) lies on these lines: {2, 3}, {13, 42907}, {14, 42906}, {597, 48942}, {952, 58241}, {3655, 50866}, {3818, 51026}, {5237, 43247}, {5238, 43246}, {5318, 42799}, {5321, 42800}, {6361, 50822}, {6433, 43211}, {6434, 43212}, {6449, 42537}, {6450, 42538}, {6484, 43210}, {6485, 43209}, {6560, 43317}, {6561, 43316}, {9691, 43536}, {11179, 51167}, {11278, 50868}, {11485, 43201}, {11486, 43202}, {11531, 61245}, {12699, 50871}, {13665, 43405}, {13785, 43406}, {15935, 51790}, {16200, 61293}, {16267, 43245}, {16268, 43244}, {16772, 42952}, {16773, 42953}, {16962, 42102}, {16963, 42101}, {18440, 51214}, {18480, 50869}, {18483, 50870}, {18581, 43420}, {18582, 43421}, {19106, 42634}, {19107, 42633}, {20582, 55633}, {21850, 51022}, {22791, 50862}, {23302, 43325}, {23303, 43324}, {28160, 58234}, {28190, 30392}, {28198, 38155}, {28202, 38112}, {31162, 61295}, {31662, 38022}, {31670, 51027}, {31673, 51120}, {34628, 58231}, {34718, 50873}, {34748, 50863}, {37517, 51025}, {37705, 50865}, {38079, 55695}, {39874, 51180}, {41971, 42905}, {41972, 42904}, {42087, 43199}, {42088, 43200}, {42099, 43107}, {42100, 43100}, {42117, 42973}, {42118, 42972}, {42129, 43398}, {42132, 43397}, {42159, 43109}, {42162, 43108}, {42163, 42891}, {42166, 42890}, {42258, 42639}, {42259, 42640}, {42415, 43771}, {42416, 43772}, {42635, 44015}, {42636, 44016}, {42786, 50972}, {42888, 42974}, {42889, 42975}, {42940, 43399}, {42941, 43400}, {42960, 49903}, {42961, 49904}, {43226, 43548}, {43227, 43549}, {43544, 43636}, {43545, 43637}, {43621, 51164}, {47354, 55594}, {48310, 55680}, {48892, 51129}, {48895, 50979}, {48905, 50987}, {48943, 54169}, {50826, 61261}, {50978, 55582}, {58227, 61270}

X(62014) = midpoint of X(i) and X(j) for these {i,j}: {382, 3839}, {3146, 15688}, {3524, 15684}, {5055, 15682}
X(62014) = reflection of X(i) in X(j) for these {i,j}: {11539, 3845}, {15686, 11539}, {15688, 5066}, {15699, 14269}, {376, 14892}, {3524, 546}, {3839, 12101}, {549, 3839}, {550, 5055}, {5055, 14893}
X(62014) = complement of X(58202)
X(62014) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(44880), X(57715)}}, {{A, B, C, X(45759), X(54512)}}
X(62014) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4, 15681, 3860}, {4, 15682, 15692}, {4, 15684, 11540}, {4, 15696, 546}, {4, 3146, 5070}, {4, 382, 12103}, {30, 12101, 3839}, {30, 14269, 15699}, {30, 14892, 376}, {30, 14893, 5055}, {30, 3839, 549}, {30, 3845, 11539}, {30, 5066, 15688}, {30, 546, 3524}, {376, 5072, 6989}, {381, 15698, 12812}, {381, 15713, 5}, {547, 15690, 3530}, {549, 12103, 8703}, {549, 3845, 3850}, {631, 7402, 1656}, {1657, 11737, 15711}, {3146, 15688, 30}, {3530, 12103, 3522}, {3543, 11001, 382}, {3543, 3830, 3853}, {3543, 3832, 15682}, {3543, 5076, 11812}, {3627, 3830, 15687}, {3627, 3845, 3543}, {3859, 12102, 4}, {3860, 15681, 632}, {5054, 15689, 15710}, {5054, 8703, 17504}, {5055, 15706, 17678}, {5076, 15682, 14893}, {11001, 12101, 3845}, {11539, 15708, 15713}, {11812, 12811, 547}, {11812, 14893, 3832}, {14893, 15682, 550}, {15690, 15704, 15686}

X(62015) = X(2)X(3)∩X(17)X(43475)

X(62015) lies on these lines: {2, 3}, {17, 43475}, {18, 43476}, {40, 50874}, {397, 42964}, {398, 42965}, {551, 28190}, {671, 54891}, {944, 50867}, {1151, 43568}, {1152, 43569}, {1327, 43340}, {1328, 43341}, {1350, 51164}, {1539, 56567}, {3679, 28216}, {3828, 28154}, {4746, 28194}, {5318, 43399}, {5321, 43400}, {5349, 41100}, {5350, 41101}, {5365, 42588}, {5366, 42589}, {5901, 50870}, {6361, 38081}, {6776, 51217}, {7989, 50825}, {8981, 43526}, {10653, 42889}, {10654, 42888}, {11542, 42905}, {11543, 42904}, {11645, 12007}, {11694, 46686}, {12121, 22250}, {12816, 42147}, {12817, 42148}, {12820, 42693}, {12821, 42692}, {13451, 14915}, {13474, 14449}, {13607, 28208}, {13925, 41952}, {13966, 43525}, {13993, 41951}, {14810, 50960}, {14927, 50963}, {16191, 28224}, {18357, 28202}, {18583, 48942}, {19106, 43417}, {19107, 43416}, {19924, 50982}, {20070, 50797}, {22793, 50862}, {23251, 43342}, {23261, 43343}, {23302, 42795}, {23303, 42796}, {28158, 61262}, {28174, 34648}, {28198, 50827}, {31663, 50803}, {33606, 42814}, {33607, 42813}, {34628, 38034}, {34632, 38138}, {34638, 38140}, {35786, 43210}, {35787, 43209}, {35814, 42272}, {35815, 42271}, {35822, 53519}, {35823, 53518}, {36967, 42627}, {36968, 42628}, {36969, 42136}, {36970, 42137}, {37832, 42585}, {37835, 42584}, {38079, 48905}, {38627, 41147}, {39884, 50985}, {41152, 55588}, {41943, 42122}, {41944, 42123}, {41973, 42419}, {41974, 42420}, {41979, 43626}, {41980, 43627}, {42085, 42496}, {42086, 42497}, {42101, 42913}, {42102, 42912}, {42133, 42634}, {42134, 42633}, {42143, 42685}, {42146, 42684}, {42163, 42694}, {42164, 42898}, {42165, 42899}, {42166, 42695}, {42266, 43211}, {42267, 43212}, {42268, 43338}, {42269, 43339}, {42429, 42954}, {42430, 42955}, {42431, 43109}, {42432, 43108}, {42635, 43773}, {42636, 43774}, {42688, 42974}, {42689, 42975}, {42777, 43245}, {42778, 43244}, {42934, 43228}, {42935, 43229}, {42940, 43007}, {42941, 43006}, {42942, 43197}, {42943, 43198}, {46267, 50959}, {47354, 48904}, {48310, 48896}, {48661, 50823}, {48662, 50986}, {48872, 50956}, {48901, 51022}, {48920, 50984}, {50808, 61259}, {50824, 50866}, {50830, 50865}, {50831, 50863}, {50872, 61245}, {50954, 61044}, {50978, 51029}, {50979, 51167}, {51023, 51182}, {51183, 51211}

X(62015) = midpoint of X(i) and X(j) for these {i,j}: {5, 15682}, {382, 3845}, {549, 15684}, {3146, 8703}, {3543, 15687}, {3627, 3830}, {15640, 15704}, {22793, 50862}, {39884, 51024}, {47354, 48904}, {48661, 50823}, {48662, 50986}, {48901, 51022}, {50872, 61245}
X(62015) = reflection of X(i) in X(j) for these {i,j}: {140, 3845}, {11694, 46686}, {12100, 546}, {12101, 3853}, {12103, 2}, {14810, 50960}, {14893, 15687}, {15681, 14891}, {15686, 10124}, {15690, 5}, {15691, 547}, {15704, 15759}, {15759, 3856}, {2, 3861}, {20, 11812}, {3, 3860}, {376, 11737}, {3534, 3628}, {3845, 12102}, {3853, 3830}, {31663, 50803}, {38627, 41147}, {48920, 50984}, {546, 12101}, {547, 14893}, {548, 5066}, {550, 10109}, {5066, 4}, {50808, 61259}, {55588, 41152}, {8703, 3850}
X(62015) = inverse of X(61981) in orthocentroidal circle
X(62015) = inverse of X(61981) in Yff hyperbola
X(62015) = complement of X(44903)
X(62015) = anticomplement of X(62089)
X(62015) = pole of line {523, 61981} with respect to the orthocentroidal circle
X(62015) = pole of line {6, 61981} with respect to the Kiepert hyperbola
X(62015) = pole of line {523, 61981} with respect to the Yff hyperbola
X(62015) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(253), X(58205)}}, {{A, B, C, X(265), X(15690)}}, {{A, B, C, X(468), X(54891)}}, {{A, B, C, X(1494), X(12103)}}, {{A, B, C, X(6662), X(50691)}}, {{A, B, C, X(13623), X(17504)}}, {{A, B, C, X(31361), X(58193)}}, {{A, B, C, X(34200), X(54512)}}, {{A, B, C, X(34483), X(58190)}}, {{A, B, C, X(55863), X(60122)}}
X(62015) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 30, 12103}, {4, 10303, 3843}, {4, 15682, 10304}, {4, 15698, 3839}, {4, 17800, 3857}, {4, 3146, 3526}, {4, 3543, 15684}, {4, 3857, 3861}, {5, 10304, 11540}, {5, 15681, 14891}, {20, 15703, 15714}, {30, 10109, 550}, {30, 10124, 15686}, {30, 11812, 20}, {30, 12101, 546}, {30, 12102, 3845}, {30, 14891, 15681}, {30, 15687, 14893}, {30, 15759, 15704}, {30, 3628, 3534}, {30, 3830, 3853}, {30, 3845, 140}, {30, 3850, 8703}, {30, 3856, 15759}, {30, 3860, 3}, {30, 3861, 2}, {30, 546, 12100}, {30, 547, 15691}, {140, 3853, 12102}, {140, 5066, 5055}, {376, 3091, 15723}, {376, 3543, 382}, {376, 3845, 11737}, {376, 5071, 15708}, {381, 15681, 15702}, {381, 15684, 15683}, {381, 15686, 10124}, {381, 15702, 5}, {381, 15718, 5071}, {382, 5055, 15640}, {546, 12100, 14892}, {549, 15714, 15706}, {550, 3839, 10109}, {3091, 15685, 17504}, {3522, 5068, 2478}, {3523, 5056, 17559}, {3534, 5055, 15717}, {3543, 3830, 15687}, {3627, 15687, 3543}, {3839, 10109, 3859}, {3839, 15698, 5072}, {3843, 11001, 15699}, {3845, 15708, 3850}, {3845, 15759, 5066}, {3845, 17504, 3091}, {3845, 5055, 3856}, {3856, 12102, 4}, {5068, 6894, 3854}, {6833, 13635, 15709}, {10299, 15708, 15693}, {10303, 15700, 549}, {10304, 15640, 5059}, {10304, 15690, 548}, {12812, 15703, 547}, {14269, 15718, 381}, {14891, 15681, 15690}, {14893, 15687, 12101}, {15640, 15704, 30}, {15681, 15693, 376}, {15703, 15714, 11812}

X(62016) = X(2)X(3)∩X(17)X(42130)

X(62016) lies on these lines: {2, 3}, {17, 42130}, {18, 42131}, {61, 43399}, {62, 43400}, {397, 42104}, {398, 42105}, {399, 15811}, {568, 12002}, {3311, 53519}, {3312, 53518}, {3519, 14490}, {3763, 55640}, {3818, 55591}, {4857, 9655}, {5008, 44518}, {5097, 48884}, {5102, 39899}, {5210, 12815}, {5270, 9668}, {5339, 41974}, {5340, 41973}, {5349, 11486}, {5350, 11485}, {5365, 42118}, {5366, 42117}, {5691, 11278}, {5895, 14864}, {6199, 23253}, {6243, 32062}, {6395, 23263}, {6407, 43413}, {6408, 43414}, {6417, 52666}, {6418, 52667}, {6429, 6564}, {6430, 6565}, {6431, 18512}, {6432, 18510}, {6433, 42266}, {6434, 42267}, {6437, 8960}, {6438, 58866}, {6445, 42413}, {6446, 42414}, {6455, 10195}, {6456, 10194}, {6480, 8976}, {6481, 13951}, {6484, 35786}, {6485, 35787}, {6486, 42265}, {6487, 42262}, {9541, 10137}, {9669, 37587}, {10141, 35812}, {10142, 35813}, {10143, 42639}, {10144, 42640}, {10187, 42528}, {10188, 42529}, {10248, 28186}, {10516, 48943}, {10895, 51817}, {11017, 54041}, {11362, 50797}, {11531, 18525}, {12111, 13421}, {12121, 38792}, {12645, 31673}, {12702, 38155}, {13364, 52093}, {13431, 15800}, {13432, 48675}, {13903, 42263}, {13961, 42264}, {16200, 18526}, {16808, 43027}, {16809, 43026}, {18405, 48672}, {18440, 55722}, {18493, 30392}, {18550, 34567}, {18553, 48910}, {19106, 42816}, {19107, 42815}, {19116, 43508}, {19117, 43507}, {20127, 38725}, {22236, 43245}, {22238, 43244}, {22615, 43802}, {22644, 43801}, {22728, 52854}, {25555, 55699}, {28202, 50874}, {29012, 55711}, {29317, 55607}, {29323, 55691}, {32787, 43432}, {32788, 43433}, {33179, 33697}, {33541, 37489}, {34507, 55582}, {34754, 42094}, {34755, 42093}, {34780, 61721}, {36753, 52100}, {36990, 37517}, {37484, 46849}, {37727, 50862}, {38730, 38746}, {38735, 38741}, {39561, 48895}, {39809, 52090}, {40280, 44863}, {41869, 59503}, {41951, 43563}, {41952, 43562}, {41959, 42258}, {41960, 42259}, {41963, 42275}, {41964, 42276}, {42090, 42950}, {42091, 42951}, {42101, 42151}, {42102, 42150}, {42108, 42152}, {42109, 42149}, {42112, 42945}, {42113, 42944}, {42115, 42920}, {42116, 42921}, {42122, 42494}, {42123, 42495}, {42125, 42158}, {42128, 42157}, {42133, 42924}, {42134, 42925}, {42136, 42998}, {42137, 42999}, {42140, 42907}, {42141, 42906}, {42153, 42961}, {42154, 42992}, {42155, 42993}, {42156, 42960}, {42159, 43401}, {42162, 43402}, {42225, 42575}, {42226, 42574}, {42480, 42991}, {42481, 42990}, {42496, 43477}, {42497, 43478}, {42514, 43247}, {42515, 43246}, {42537, 43211}, {42538, 43212}, {42582, 43786}, {42583, 43785}, {42584, 43398}, {42585, 43397}, {42694, 43646}, {42695, 43645}, {42773, 42919}, {42774, 42918}, {42904, 43023}, {42905, 43022}, {43028, 43638}, {43029, 43643}, {43407, 45385}, {43408, 45384}, {43503, 53513}, {43504, 53516}, {47354, 55595}, {48662, 51538}, {48872, 55627}, {48879, 55645}, {48889, 55603}, {48896, 55680}, {48904, 55594}, {48905, 55695}, {48942, 50664}, {50798, 51119}, {50805, 50868}, {50806, 50870}, {50954, 51026}, {50955, 51165}, {50962, 51025}, {51022, 51172}, {51166, 51175}, {51173, 53092}, {51186, 55611}, {51537, 55593}, {55683, 59411}

X(62016) = midpoint of X(i) and X(j) for these {i,j}: {3146, 3528}, {15684, 15701}
X(62016) = reflection of X(i) in X(j) for these {i,j}: {15681, 15698}, {15702, 3845}, {20, 14869}, {3, 3832}, {3528, 3857}, {3534, 15703}, {3851, 4}
X(62016) = anticomplement of X(62091)
X(62016) = pole of line {185, 61975} with respect to the Jerabek hyperbola
X(62016) = pole of line {6, 43432} with respect to the Kiepert hyperbola
X(62016) = pole of line {69, 55650} with respect to the Wallace hyperbola
X(62016) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(50693)}}, {{A, B, C, X(3426), X(35479)}}, {{A, B, C, X(3518), X(14490)}}, {{A, B, C, X(3519), X(10304)}}, {{A, B, C, X(3521), X(10303)}}, {{A, B, C, X(3628), X(18550)}}, {{A, B, C, X(3854), X(18846)}}, {{A, B, C, X(3858), X(18848)}}, {{A, B, C, X(6662), X(35404)}}, {{A, B, C, X(13599), X(47599)}}, {{A, B, C, X(14483), X(35475)}}, {{A, B, C, X(14861), X(15717)}}, {{A, B, C, X(15319), X(58207)}}, {{A, B, C, X(15704), X(21400)}}, {{A, B, C, X(15713), X(60122)}}, {{A, B, C, X(15723), X(40448)}}, {{A, B, C, X(15749), X(17538)}}, {{A, B, C, X(17505), X(49140)}}, {{A, B, C, X(34567), X(35473)}}, {{A, B, C, X(35472), X(43719)}}, {{A, B, C, X(44879), X(57715)}}
X(62016) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 17800, 15686}, {3, 3543, 382}, {3, 3830, 3853}, {3, 3843, 3545}, {3, 3850, 1656}, {3, 5, 15723}, {3, 5067, 5054}, {3, 5070, 11812}, {3, 5073, 5059}, {4, 10299, 3839}, {4, 15682, 3522}, {4, 20, 3858}, {4, 30, 3851}, {4, 3146, 140}, {4, 3522, 546}, {4, 3854, 3861}, {4, 5056, 3845}, {4, 5059, 3850}, {20, 12102, 14269}, {20, 14269, 5072}, {20, 5072, 15693}, {20, 547, 3}, {30, 14869, 20}, {30, 15698, 15681}, {30, 15703, 3534}, {30, 3845, 15702}, {30, 3857, 3528}, {140, 15687, 4}, {381, 1657, 15720}, {382, 1656, 5073}, {382, 3534, 3146}, {382, 3830, 5076}, {546, 15682, 17800}, {546, 15686, 5067}, {546, 15759, 5}, {547, 15686, 15715}, {547, 3853, 12102}, {550, 3850, 3533}, {1656, 3523, 3526}, {1656, 5073, 1657}, {1657, 15720, 15696}, {2043, 2044, 15713}, {3090, 16857, 3628}, {3146, 15687, 3843}, {3526, 15693, 14869}, {3526, 5079, 15703}, {3529, 3854, 15712}, {3529, 3861, 5055}, {3533, 5059, 550}, {3534, 3843, 5079}, {3545, 11001, 15692}, {3545, 3832, 3857}, {3627, 17578, 3830}, {3627, 3853, 3543}, {3832, 5059, 3523}, {3839, 15704, 5070}, {3845, 15640, 6926}, {3855, 12103, 15694}, {3855, 15640, 12103}, {3855, 15717, 6892}, {3861, 15712, 3854}, {5070, 15704, 14093}, {11001, 15723, 15688}, {14269, 15693, 381}, {14813, 14814, 10304}, {15684, 15701, 30}, {41973, 42909, 5340}, {41974, 42908, 5339}, {42093, 42431, 42989}, {42094, 42432, 42988}

X(62017) = X(1)X(50866)∩X(2)X(3)

X(62017) lies on these lines: {1, 50866}, {2, 3}, {6, 42641}, {8, 50873}, {10, 50809}, {13, 42140}, {14, 42141}, {61, 42589}, {62, 42588}, {69, 51029}, {98, 54720}, {141, 50966}, {145, 50863}, {193, 51216}, {317, 36889}, {371, 12818}, {372, 12819}, {397, 49827}, {398, 49826}, {516, 38074}, {538, 53143}, {542, 51538}, {598, 52519}, {671, 54845}, {754, 5485}, {1125, 50819}, {1151, 41948}, {1152, 41947}, {1285, 53419}, {1327, 6459}, {1328, 6460}, {1539, 9143}, {1992, 48901}, {3068, 43405}, {3069, 43406}, {3241, 22793}, {3244, 31162}, {3311, 43386}, {3312, 43387}, {3316, 42266}, {3317, 42267}, {3424, 60631}, {3488, 51790}, {3585, 10385}, {3586, 3982}, {3589, 50975}, {3590, 6519}, {3591, 6522}, {3619, 50956}, {3622, 50806}, {3624, 51074}, {3626, 34648}, {3629, 50974}, {3631, 48910}, {3632, 31673}, {3634, 50812}, {3636, 50811}, {3644, 51065}, {3653, 9779}, {3656, 20057}, {3818, 54170}, {4678, 50797}, {4681, 51043}, {4739, 51044}, {5092, 50964}, {5237, 42514}, {5238, 42515}, {5334, 42941}, {5335, 42940}, {5343, 43229}, {5344, 43228}, {5349, 49948}, {5350, 49947}, {5351, 43446}, {5352, 43447}, {5365, 42165}, {5366, 42164}, {5476, 14927}, {5691, 34747}, {5702, 18487}, {6154, 10711}, {6241, 21849}, {6329, 43273}, {6337, 48913}, {6361, 50796}, {6407, 42639}, {6408, 42640}, {6417, 43520}, {6418, 43519}, {6425, 42577}, {6426, 42576}, {6439, 9541}, {6440, 41949}, {6441, 23249}, {6442, 23259}, {6451, 43517}, {6452, 43518}, {6476, 6564}, {6477, 6565}, {6478, 31412}, {6479, 42561}, {6759, 13482}, {6776, 20583}, {7581, 22615}, {7582, 22644}, {7612, 33698}, {7735, 39563}, {7750, 32886}, {7788, 32826}, {7809, 32817}, {7842, 18840}, {7872, 18841}, {7967, 28208}, {8164, 18513}, {8166, 24042}, {8591, 22505}, {8981, 43536}, {9540, 43210}, {9693, 43879}, {9780, 50799}, {9812, 28204}, {9862, 9880}, {10248, 10595}, {10653, 42629}, {10654, 42630}, {10706, 24981}, {10722, 12243}, {11008, 31670}, {11160, 39884}, {11177, 22515}, {11178, 43621}, {11179, 48895}, {11180, 40341}, {11485, 43540}, {11486, 43541}, {11645, 14912}, {11693, 46686}, {12112, 44413}, {12117, 35022}, {12245, 34641}, {12290, 14831}, {12317, 13202}, {12699, 20050}, {12816, 42432}, {12817, 42431}, {12820, 16962}, {12821, 16963}, {13474, 21969}, {13624, 50807}, {13713, 49029}, {13836, 49028}, {13846, 43408}, {13847, 43407}, {13886, 41945}, {13935, 43209}, {13939, 41946}, {13966, 54597}, {14458, 60219}, {14488, 18842}, {14492, 18843}, {14494, 54494}, {15428, 53017}, {15808, 50802}, {15811, 56292}, {16226, 61136}, {16263, 18847}, {16267, 42085}, {16268, 42086}, {16772, 42927}, {16773, 42926}, {16808, 43366}, {16809, 43367}, {17503, 60337}, {18376, 54050}, {18440, 51028}, {18480, 34632}, {18483, 34628}, {18492, 50808}, {18514, 47743}, {18525, 20054}, {18553, 50990}, {19053, 23275}, {19054, 23269}, {19106, 37641}, {19107, 37640}, {19875, 28150}, {19878, 51079}, {20080, 51211}, {20112, 55823}, {20423, 39874}, {22236, 49874}, {22238, 49873}, {23253, 32787}, {23263, 32788}, {23267, 52666}, {23273, 52667}, {24473, 31822}, {28158, 38076}, {28160, 38314}, {28164, 38021}, {28178, 38066}, {28194, 59388}, {28198, 59387}, {28202, 53620}, {29012, 59373}, {29323, 38064}, {31672, 60957}, {32532, 53100}, {32827, 59634}, {32868, 37671}, {33602, 41101}, {33603, 41100}, {33750, 48310}, {34573, 50968}, {35786, 42413}, {35787, 42414}, {36875, 57471}, {36967, 42142}, {36968, 42139}, {36969, 42104}, {36970, 42105}, {36990, 54132}, {37832, 42112}, {37835, 42113}, {40693, 43486}, {40694, 43485}, {41107, 42160}, {41108, 42161}, {41112, 42779}, {41113, 42780}, {41119, 42157}, {41120, 42158}, {41895, 60322}, {41943, 42494}, {41944, 42495}, {41971, 43010}, {41972, 43011}, {41977, 43476}, {41978, 43475}, {42089, 42429}, {42092, 42430}, {42093, 42987}, {42094, 42986}, {42101, 43404}, {42102, 43403}, {42103, 52080}, {42106, 52079}, {42130, 43364}, {42131, 43365}, {42133, 42155}, {42134, 42154}, {42136, 43111}, {42137, 43110}, {42150, 49862}, {42151, 49861}, {42159, 49812}, {42162, 49813}, {42215, 43507}, {42216, 43508}, {42271, 43257}, {42272, 43256}, {42275, 43509}, {42276, 43510}, {42415, 42633}, {42416, 42634}, {42496, 43552}, {42497, 43553}, {42510, 42814}, {42511, 42813}, {42516, 43771}, {42517, 43772}, {42580, 43369}, {42581, 43368}, {42586, 42792}, {42587, 42791}, {42602, 42638}, {42603, 42637}, {42625, 43100}, {42626, 43107}, {42775, 49907}, {42776, 49908}, {42910, 43227}, {42911, 43226}, {42918, 43230}, {42919, 43231}, {42938, 46334}, {42939, 46335}, {42942, 43877}, {42943, 43878}, {42974, 43466}, {42975, 43465}, {42988, 43108}, {42989, 43109}, {42996, 43025}, {42997, 43024}, {43566, 52047}, {43567, 52048}, {43570, 60307}, {43571, 60308}, {43618, 46453}, {44456, 51215}, {45103, 60330}, {46931, 50825}, {47353, 51163}, {47354, 51164}, {47355, 51129}, {48839, 54786}, {48904, 51537}, {48905, 50959}, {48943, 50977}, {50800, 61524}, {50803, 50813}, {50817, 51119}, {50820, 51076}, {50955, 51213}, {50958, 55582}, {50960, 50969}, {50963, 51171}, {50973, 51165}, {50976, 51131}, {50994, 52987}, {51025, 51178}, {51127, 51134}, {51135, 55699}, {53105, 60150}, {53109, 60127}, {54519, 60636}, {54647, 60334}, {60142, 60281}, {60325, 60626}

X(62017) = midpoint of X(i) and X(j) for these {i,j}: {382, 14269}, {3146, 10304}, {3545, 15682}, {5054, 15684}
X(62017) = reflection of X(i) in X(j) for these {i,j}: {10304, 381}, {11001, 10304}, {11693, 46686}, {14269, 15687}, {15681, 17504}, {15683, 15689}, {15689, 5}, {15699, 14893}, {17504, 546}, {2, 14269}, {20, 5054}, {376, 3545}, {3524, 3839}, {3534, 15699}, {3545, 4}, {5054, 3845}
X(62017) = inverse of X(61980) in orthocentroidal circle
X(62017) = inverse of X(61980) in Yff hyperbola
X(62017) = complement of X(62153)
X(62017) = anticomplement of X(15688)
X(62017) = pole of line {523, 61980} with respect to the orthocentroidal circle
X(62017) = pole of line {6, 61980} with respect to the Kiepert hyperbola
X(62017) = pole of line {523, 61980} with respect to the Yff hyperbola
X(62017) = pole of line {69, 34200} with respect to the Wallace hyperbola
X(62017) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(34200)}}, {{A, B, C, X(265), X(15689)}}, {{A, B, C, X(297), X(54720)}}, {{A, B, C, X(376), X(57823)}}, {{A, B, C, X(381), X(18847)}}, {{A, B, C, X(382), X(36889)}}, {{A, B, C, X(468), X(54845)}}, {{A, B, C, X(546), X(18851)}}, {{A, B, C, X(549), X(54667)}}, {{A, B, C, X(3521), X(55863)}}, {{A, B, C, X(3526), X(54660)}}, {{A, B, C, X(3544), X(55958)}}, {{A, B, C, X(3628), X(54763)}}, {{A, B, C, X(3832), X(18849)}}, {{A, B, C, X(3839), X(18852)}}, {{A, B, C, X(3843), X(18853)}}, {{A, B, C, X(3855), X(18846)}}, {{A, B, C, X(4232), X(60132)}}, {{A, B, C, X(4846), X(15693)}}, {{A, B, C, X(5055), X(54838)}}, {{A, B, C, X(5059), X(14863)}}, {{A, B, C, X(5094), X(52519)}}, {{A, B, C, X(7378), X(54717)}}, {{A, B, C, X(7486), X(60121)}}, {{A, B, C, X(10299), X(57822)}}, {{A, B, C, X(10303), X(60122)}}, {{A, B, C, X(10304), X(54512)}}, {{A, B, C, X(11331), X(60219)}}, {{A, B, C, X(12108), X(31371)}}, {{A, B, C, X(14488), X(52284)}}, {{A, B, C, X(15697), X(16251)}}, {{A, B, C, X(15703), X(18550)}}, {{A, B, C, X(15715), X(57894)}}, {{A, B, C, X(15740), X(44682)}}, {{A, B, C, X(18296), X(58203)}}, {{A, B, C, X(18843), X(52289)}}, {{A, B, C, X(18850), X(41099)}}, {{A, B, C, X(18854), X(50689)}}, {{A, B, C, X(19710), X(43699)}}, {{A, B, C, X(33698), X(37174)}}, {{A, B, C, X(37453), X(60150)}}, {{A, B, C, X(50693), X(54552)}}, {{A, B, C, X(52283), X(60631)}}, {{A, B, C, X(52290), X(60322)}}, {{A, B, C, X(52292), X(60337)}}, {{A, B, C, X(52293), X(60330)}}, {{A, B, C, X(53100), X(53857)}}, {{A, B, C, X(54595), X(55573)}}, {{A, B, C, X(54596), X(55569)}}
X(62017) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15707}, {2, 15681, 3528}, {2, 15687, 4}, {2, 15692, 14869}, {2, 15715, 631}, {2, 17677, 17527}, {2, 17679, 4187}, {2, 3529, 376}, {2, 3543, 382}, {2, 376, 10299}, {2, 381, 3544}, {2, 3851, 5071}, {3, 11737, 2}, {4, 11541, 5}, {4, 17538, 3832}, {4, 3524, 3839}, {4, 3525, 3843}, {4, 3528, 546}, {4, 3543, 15682}, {4, 5071, 3845}, {5, 15689, 15708}, {13, 42140, 43482}, {14, 42141, 43481}, {20, 5071, 15698}, {30, 10304, 11001}, {30, 14893, 15699}, {30, 15687, 14269}, {30, 15689, 15683}, {30, 15699, 3534}, {30, 17504, 15681}, {30, 381, 10304}, {30, 3845, 5054}, {30, 5054, 20}, {30, 546, 17504}, {376, 3090, 15719}, {381, 12100, 5056}, {381, 15695, 3628}, {381, 17800, 12100}, {381, 3830, 3853}, {381, 6958, 632}, {382, 11737, 15640}, {382, 3830, 15687}, {382, 5076, 3851}, {382, 5079, 5073}, {382, 550, 3146}, {547, 15685, 3522}, {1657, 5066, 15692}, {3146, 10304, 30}, {3146, 3544, 3529}, {3146, 5056, 17800}, {3524, 3839, 3545}, {3533, 5054, 15709}, {3534, 14893, 3091}, {3534, 15693, 6891}, {3534, 15699, 15705}, {3543, 17578, 3830}, {3545, 15709, 3090}, {3627, 3830, 3543}, {3830, 15684, 5076}, {3832, 5073, 17538}, {3839, 5059, 14890}, {3843, 5059, 3525}, {3851, 3859, 13587}, {3858, 15690, 15703}, {3860, 15694, 5068}, {3860, 15704, 15694}, {4239, 17531, 474}, {5066, 15692, 5067}, {5071, 15698, 3533}, {7486, 10303, 17590}, {10109, 14093, 10303}, {10304, 11539, 3524}, {10304, 15705, 15714}, {10304, 15707, 15715}, {10304, 15715, 15710}, {11001, 15715, 550}, {12100, 17697, 15702}, {12699, 50864, 34631}, {13596, 18534, 7556}, {14269, 15707, 381}, {14269, 15710, 3855}, {15683, 15708, 15689}, {15690, 15703, 15717}, {16371, 16859, 16417}, {16371, 17576, 13742}, {31673, 50865, 34627}, {34648, 41869, 50810}, {34648, 50869, 41869}, {42629, 43419, 10653}, {42641, 42642, 6}

X(62018) = X(2)X(3)∩X(395)X(43478)

X(62018) lies on these lines: {2, 3}, {395, 43478}, {396, 43477}, {511, 51213}, {515, 50867}, {516, 50874}, {590, 42537}, {615, 42538}, {1327, 60295}, {1328, 60296}, {1503, 51217}, {1699, 51085}, {3068, 43380}, {3069, 43381}, {3424, 60632}, {3623, 33697}, {4669, 50869}, {4677, 51118}, {4678, 28198}, {5318, 42589}, {5321, 42588}, {6564, 43526}, {6565, 43525}, {7929, 54477}, {8596, 39809}, {9778, 51069}, {9779, 51109}, {9812, 50862}, {10302, 54815}, {11055, 52854}, {11455, 16981}, {11485, 33602}, {11486, 33603}, {12699, 20049}, {12816, 49811}, {12817, 49810}, {14226, 42226}, {14241, 42225}, {14458, 60625}, {14492, 60650}, {14927, 51185}, {15533, 51163}, {15534, 51022}, {17503, 60336}, {18581, 43476}, {18582, 43475}, {18845, 54643}, {19053, 43508}, {19054, 43507}, {19106, 43474}, {19107, 43473}, {20070, 34648}, {22165, 51026}, {28164, 51110}, {28182, 50800}, {29181, 50994}, {31145, 31673}, {31162, 51092}, {33606, 42510}, {33607, 42511}, {33626, 52838}, {33627, 52839}, {35749, 36961}, {36327, 36962}, {36969, 49827}, {36970, 49826}, {38259, 54608}, {41100, 42133}, {41101, 42134}, {41107, 42104}, {41108, 42105}, {41895, 54866}, {42085, 42976}, {42086, 42977}, {42093, 49812}, {42094, 49813}, {42099, 43397}, {42100, 43398}, {42103, 42631}, {42106, 42632}, {42108, 49905}, {42109, 49906}, {42140, 43540}, {42141, 43541}, {42143, 42933}, {42146, 42932}, {42147, 43201}, {42148, 43202}, {42150, 43013}, {42151, 43012}, {42157, 49860}, {42158, 49859}, {42159, 43023}, {42162, 43022}, {42263, 43383}, {42264, 43382}, {42270, 54599}, {42273, 54598}, {42275, 43568}, {42276, 43569}, {42518, 43298}, {42519, 43299}, {42532, 43556}, {42533, 43557}, {42604, 43210}, {42605, 43209}, {42803, 42815}, {42804, 42816}, {42942, 43364}, {42943, 43365}, {43228, 43466}, {43229, 43465}, {43256, 43504}, {43257, 43503}, {43403, 46335}, {43404, 46334}, {43560, 60313}, {43561, 60314}, {43951, 60282}, {45103, 60331}, {47353, 51029}, {48884, 51170}, {50816, 61264}, {50827, 59387}, {50870, 51103}, {50990, 61044}, {50991, 51537}, {50992, 51024}, {51066, 54448}, {51076, 58221}, {51131, 55673}, {51138, 53023}, {51216, 54132}, {53101, 54521}, {54476, 60192}, {54519, 60200}, {54520, 54639}, {54642, 60333}, {54852, 60635}, {54896, 60102}, {60113, 60175}, {60147, 60228}, {60327, 60637}

X(62018) = midpoint of X(i) and X(j) for these {i,j}: {3526, 15684}
X(62018) = reflection of X(i) in X(j) for these {i,j}: {15701, 3845}, {20, 15702}, {376, 3851}, {3528, 381}
X(62018) = anticomplement of X(62094)
X(62018) = pole of line {69, 62072} with respect to the Wallace hyperbola
X(62018) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(550), X(54552)}}, {{A, B, C, X(3346), X(58203)}}, {{A, B, C, X(3528), X(54512)}}, {{A, B, C, X(3544), X(54585)}}, {{A, B, C, X(3851), X(54923)}}, {{A, B, C, X(4846), X(41983)}}, {{A, B, C, X(10301), X(54815)}}, {{A, B, C, X(11331), X(60625)}}, {{A, B, C, X(13623), X(15716)}}, {{A, B, C, X(15689), X(16251)}}, {{A, B, C, X(15697), X(35510)}}, {{A, B, C, X(18850), X(23046)}}, {{A, B, C, X(33232), X(54897)}}, {{A, B, C, X(38282), X(54608)}}, {{A, B, C, X(52283), X(60632)}}, {{A, B, C, X(52290), X(54866)}}, {{A, B, C, X(52292), X(60336)}}, {{A, B, C, X(52293), X(60331)}}, {{A, B, C, X(52299), X(54643)}}
X(62018) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 3522}, {2, 15640, 15683}, {2, 15697, 15705}, {2, 17578, 3830}, {2, 5059, 15697}, {2, 5066, 15022}, {3, 3523, 5154}, {4, 15682, 3534}, {4, 17800, 3091}, {4, 3146, 15717}, {20, 3091, 15720}, {30, 15702, 20}, {30, 381, 3528}, {30, 3845, 15701}, {382, 12101, 11001}, {382, 15687, 15710}, {382, 3522, 3146}, {382, 3830, 12101}, {549, 3850, 5055}, {3068, 43380, 60299}, {3069, 43381, 60300}, {3090, 15710, 15702}, {3091, 8703, 2}, {3522, 3832, 3090}, {3526, 15684, 30}, {3528, 3851, 16857}, {3534, 15682, 15640}, {3534, 5055, 12100}, {3543, 3839, 382}, {3545, 6905, 15684}, {3830, 15685, 5076}, {3856, 15706, 5071}, {4229, 6912, 3525}, {5055, 15687, 4}, {10109, 12100, 632}, {10303, 15697, 15759}, {11001, 12101, 3839}, {14269, 15692, 3854}, {15022, 15683, 10304}, {15640, 15759, 5059}, {15683, 17678, 376}

X(62019) = X(2)X(3)∩X(6)X(43521)

X(62019) lies on these lines: {2, 3}, {6, 43521}, {511, 51029}, {515, 50866}, {516, 51067}, {517, 50873}, {598, 54707}, {671, 54612}, {952, 50863}, {1327, 60301}, {1328, 60302}, {1503, 51167}, {1992, 33623}, {3068, 43503}, {3069, 43504}, {3241, 33697}, {3564, 51216}, {3655, 10248}, {3818, 50994}, {4669, 41869}, {4677, 31673}, {4745, 6361}, {5318, 49876}, {5321, 49875}, {5691, 34631}, {5965, 51023}, {6437, 43380}, {6438, 43381}, {6564, 43405}, {6565, 43406}, {7612, 54647}, {7967, 50870}, {8584, 39874}, {9542, 42639}, {9812, 50818}, {9862, 36523}, {10171, 50820}, {10175, 50813}, {10595, 51104}, {11179, 48942}, {11180, 51163}, {11455, 21969}, {12816, 33604}, {12817, 33605}, {12820, 43645}, {12821, 43646}, {14226, 42283}, {14241, 42284}, {14458, 54637}, {14492, 60284}, {14561, 51177}, {14651, 41154}, {16267, 43770}, {16268, 43769}, {16960, 42511}, {16961, 42510}, {17503, 60185}, {18480, 51068}, {18483, 51110}, {19106, 41113}, {19107, 41112}, {19924, 50990}, {21356, 43621}, {22165, 48910}, {23249, 43386}, {23251, 42417}, {23259, 43387}, {23261, 42418}, {23267, 53519}, {23273, 53518}, {28146, 50809}, {28154, 50799}, {28172, 30308}, {28190, 50806}, {28198, 51072}, {28216, 50797}, {28228, 50869}, {28232, 50810}, {28234, 50865}, {28236, 50862}, {29181, 51142}, {29317, 50966}, {31162, 51091}, {32532, 60150}, {32822, 32896}, {33602, 42134}, {33603, 42133}, {33748, 51173}, {34380, 51211}, {34627, 51118}, {34648, 51070}, {36319, 36962}, {36344, 36961}, {36346, 48665}, {36352, 48666}, {36967, 43475}, {36968, 43476}, {36990, 51187}, {41100, 42141}, {41101, 42140}, {41107, 42105}, {41108, 42104}, {41119, 42119}, {41120, 42120}, {41149, 54131}, {41945, 42577}, {41946, 42576}, {42093, 42778}, {42094, 42777}, {42095, 43398}, {42098, 43397}, {42101, 49906}, {42102, 49905}, {42108, 42518}, {42109, 42519}, {42112, 42632}, {42113, 42631}, {42125, 43478}, {42128, 43477}, {42139, 42513}, {42142, 42512}, {42150, 49903}, {42151, 49904}, {42154, 49825}, {42155, 49824}, {42159, 42977}, {42162, 42976}, {42431, 42507}, {42432, 42506}, {42528, 43241}, {42529, 43240}, {42532, 43783}, {42533, 43784}, {42537, 53130}, {42538, 53131}, {42586, 42599}, {42587, 42598}, {42682, 42941}, {42683, 42940}, {42775, 43027}, {42776, 43026}, {42813, 49860}, {42814, 49859}, {43195, 43245}, {43196, 43244}, {43199, 43636}, {43200, 43637}, {43209, 43510}, {43210, 43509}, {43554, 49907}, {43555, 49908}, {45103, 54523}, {46334, 49861}, {46335, 49862}, {47353, 51026}, {48895, 59373}, {48904, 54170}, {50807, 54445}, {50811, 51106}, {50967, 51164}, {50974, 51217}, {51022, 54132}, {51024, 51188}, {51086, 61265}, {51179, 51213}, {53103, 54478}, {54477, 60143}, {54512, 54710}, {54519, 60627}, {54531, 54838}, {54582, 54616}, {54608, 60631}, {54667, 54867}, {54760, 54947}, {54764, 54827}, {54785, 54942}, {54788, 54789}, {54924, 60137}, {60127, 60281}

X(62019) = midpoint of X(i) and X(j) for these {i,j}: {1656, 15684}, {3146, 15692}, {3543, 17578}
X(62019) = reflection of X(i) in X(j) for these {i,j}: {14093, 3858}, {15681, 15712}, {15683, 15696}, {15692, 3843}, {15693, 3845}, {15714, 546}, {17538, 5071}, {20, 15694}, {376, 3091}, {3522, 381}, {3843, 15687}, {5071, 4}, {50819, 30308}, {632, 14893}
X(62019) = inverse of X(61979) in orthocentroidal circle
X(62019) = inverse of X(61979) in Yff hyperbola
X(62019) = anticomplement of X(15695)
X(62019) = pole of line {523, 61979} with respect to the orthocentroidal circle
X(62019) = pole of line {6, 33602} with respect to the Kiepert hyperbola
X(62019) = pole of line {523, 61979} with respect to the Yff hyperbola
X(62019) = pole of line {69, 62073} with respect to the Wallace hyperbola
X(62019) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(468), X(54612)}}, {{A, B, C, X(3522), X(54512)}}, {{A, B, C, X(3523), X(54667)}}, {{A, B, C, X(3832), X(54924)}}, {{A, B, C, X(4846), X(15707)}}, {{A, B, C, X(5056), X(54838)}}, {{A, B, C, X(5068), X(54585)}}, {{A, B, C, X(5094), X(54707)}}, {{A, B, C, X(7409), X(54813)}}, {{A, B, C, X(11331), X(54637)}}, {{A, B, C, X(18847), X(41106)}}, {{A, B, C, X(33699), X(36889)}}, {{A, B, C, X(37174), X(54647)}}, {{A, B, C, X(46935), X(54763)}}, {{A, B, C, X(52292), X(60185)}}, {{A, B, C, X(52293), X(54523)}}, {{A, B, C, X(52301), X(54477)}}, {{A, B, C, X(53857), X(60150)}}
X(62019) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15640, 15685}, {2, 15690, 15698}, {2, 15697, 15711}, {2, 15711, 631}, {2, 3860, 3545}, {2, 6834, 11541}, {3, 3560, 19238}, {4, 15682, 11001}, {4, 30, 5071}, {4, 3146, 3528}, {20, 5066, 15719}, {30, 14893, 632}, {30, 15687, 3843}, {30, 15694, 20}, {30, 15696, 15683}, {30, 15712, 15681}, {30, 381, 3522}, {30, 3843, 15692}, {30, 3845, 15693}, {30, 3858, 14093}, {30, 5071, 17538}, {30, 546, 15714}, {140, 382, 3146}, {140, 3843, 3091}, {376, 15682, 15640}, {376, 3545, 140}, {376, 5067, 3524}, {382, 12102, 5059}, {382, 3853, 15717}, {632, 4194, 6853}, {1656, 15684, 30}, {1656, 3843, 3857}, {3091, 15717, 1656}, {3146, 3857, 3529}, {3525, 11541, 15704}, {3528, 11001, 3534}, {3529, 3839, 15702}, {3529, 3853, 4}, {3534, 15707, 8703}, {3534, 3830, 15687}, {3534, 3860, 2}, {3543, 3830, 15682}, {3832, 15681, 15709}, {3839, 15717, 11737}, {3845, 11001, 5067}, {3845, 17504, 5066}, {3853, 15684, 3839}, {3857, 12108, 5079}, {5073, 14893, 10304}, {10304, 14893, 3855}, {12101, 15759, 3845}, {12816, 42085, 49813}, {12817, 42086, 49812}, {14269, 15683, 3090}, {14269, 15723, 3856}, {15683, 15723, 376}, {15693, 15695, 15759}, {15693, 15713, 15708}, {19106, 41113, 42588}, {19107, 41112, 42589}, {28172, 30308, 50819}, {33602, 43482, 49947}, {33602, 43501, 42134}, {33603, 43481, 49948}, {33603, 43502, 42133}, {33623, 33625, 1992}, {42133, 43401, 43481}, {42133, 49948, 33603}, {42134, 43402, 43482}, {42134, 49947, 33602}, {42284, 43257, 14241}, {43521, 43522, 6}

X(62020) = X(2)X(3)∩X(15)X(43298)

X(62020) lies on these lines: {2, 3}, {15, 43298}, {16, 43299}, {395, 42690}, {396, 42691}, {590, 43337}, {599, 48904}, {615, 43336}, {1327, 42271}, {1328, 42272}, {3656, 50870}, {4701, 31673}, {5237, 42586}, {5238, 42587}, {5339, 42935}, {5340, 42934}, {5343, 42588}, {5344, 42589}, {5790, 28202}, {6468, 6564}, {6469, 6565}, {6470, 35822}, {6471, 35823}, {6560, 43343}, {6561, 43342}, {8148, 50864}, {8162, 9668}, {8976, 43339}, {9540, 42537}, {9541, 43405}, {9543, 43536}, {9681, 41952}, {9704, 13482}, {10248, 37624}, {10302, 54917}, {10516, 55615}, {10653, 42689}, {10654, 42688}, {10723, 48657}, {10982, 52100}, {11178, 48943}, {11179, 51173}, {11180, 50985}, {11224, 28204}, {11480, 43544}, {11481, 43545}, {11485, 43402}, {11486, 43401}, {11645, 15520}, {11898, 51163}, {11935, 14157}, {12017, 50959}, {12355, 39809}, {12645, 51118}, {12699, 50805}, {12702, 34648}, {12816, 22236}, {12817, 22238}, {12943, 37602}, {13321, 14915}, {13886, 43566}, {13935, 42538}, {13939, 43567}, {13951, 43338}, {14692, 39838}, {14848, 29012}, {15516, 48942}, {16194, 54048}, {16267, 42094}, {16268, 42093}, {16962, 42128}, {16963, 42125}, {18439, 21969}, {18440, 51024}, {18481, 50806}, {18493, 34628}, {18525, 50865}, {18526, 31162}, {18550, 57714}, {19106, 42897}, {19107, 42896}, {23253, 43340}, {23263, 43341}, {25055, 28168}, {25561, 48872}, {28178, 53620}, {28198, 59503}, {29323, 47352}, {31670, 50962}, {31730, 50799}, {32006, 32890}, {32520, 52854}, {33606, 42158}, {33607, 42157}, {33878, 50954}, {34627, 50830}, {34631, 50863}, {34638, 61261}, {34718, 41869}, {34748, 50867}, {36967, 43204}, {36968, 43203}, {36969, 42126}, {36970, 42127}, {36990, 55720}, {38077, 38754}, {39899, 48884}, {41107, 42964}, {41108, 42965}, {41112, 42164}, {41113, 42165}, {41121, 42695}, {41122, 42694}, {41945, 43380}, {41946, 43381}, {42096, 42962}, {42097, 42963}, {42099, 42795}, {42100, 42796}, {42103, 42686}, {42104, 42941}, {42105, 42940}, {42106, 42687}, {42108, 42817}, {42109, 42818}, {42112, 42684}, {42113, 42685}, {42129, 43484}, {42132, 43483}, {42140, 43416}, {42141, 43417}, {42144, 43403}, {42145, 43404}, {42153, 46334}, {42154, 42815}, {42155, 42816}, {42156, 46335}, {42258, 43526}, {42259, 43525}, {42268, 43209}, {42269, 43210}, {42283, 43796}, {42284, 43795}, {42429, 43227}, {42430, 43226}, {42431, 49948}, {42432, 49947}, {42518, 42939}, {42519, 42938}, {42528, 42954}, {42529, 42955}, {42924, 49824}, {42925, 49825}, {43020, 43032}, {43021, 43033}, {43150, 48910}, {43244, 44016}, {43245, 44015}, {43273, 48895}, {43477, 43542}, {43478, 43543}, {43621, 47354}, {43628, 54635}, {43629, 54634}, {43769, 49873}, {43770, 49874}, {44456, 51023}, {46264, 50963}, {48662, 54132}, {48881, 50956}, {48889, 55608}, {48905, 55696}, {50804, 51119}, {50815, 61268}, {50955, 51026}, {50957, 54169}, {50961, 51165}, {50989, 55583}, {50991, 55595}, {51025, 51174}, {51120, 61244}, {51182, 51216}, {53023, 55706}

X(62020) = midpoint of X(i) and X(j) for these {i,j}: {3146, 3524}, {3839, 15682}, {5055, 15684}
X(62020) = reflection of X(i) in X(j) for these {i,j}: {1657, 15688}, {11539, 14893}, {15681, 3524}, {15688, 381}, {15689, 3545}, {20, 11539}, {3, 3839}, {3524, 3845}, {3534, 5055}, {3839, 15687}, {38754, 38077}, {550, 14892}, {5054, 14269}, {5055, 4}
X(62020) = inverse of X(61978) in orthocentroidal circle
X(62020) = inverse of X(61978) in Yff hyperbola
X(62020) = anticomplement of X(62098)
X(62020) = pole of line {523, 61978} with respect to the orthocentroidal circle
X(62020) = pole of line {6, 61978} with respect to the Kiepert hyperbola
X(62020) = pole of line {523, 61978} with respect to the Yff hyperbola
X(62020) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(547), X(18550)}}, {{A, B, C, X(3426), X(44878)}}, {{A, B, C, X(3521), X(55864)}}, {{A, B, C, X(3857), X(18848)}}, {{A, B, C, X(4846), X(15719)}}, {{A, B, C, X(10301), X(54917)}}, {{A, B, C, X(11001), X(43699)}}, {{A, B, C, X(11737), X(54585)}}, {{A, B, C, X(13603), X(47485)}}, {{A, B, C, X(13623), X(15692)}}, {{A, B, C, X(14869), X(60122)}}, {{A, B, C, X(15688), X(54512)}}, {{A, B, C, X(18317), X(46333)}}, {{A, B, C, X(21734), X(34483)}}, {{A, B, C, X(35473), X(57714)}}, {{A, B, C, X(44682), X(57822)}}
X(62020) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15681, 15697}, {3, 15699, 5054}, {3, 3843, 5068}, {3, 3855, 1656}, {3, 5055, 15709}, {4, 15682, 15683}, {4, 15717, 546}, {4, 17800, 5072}, {4, 3146, 548}, {5, 15685, 14093}, {20, 13635, 15704}, {30, 14892, 550}, {30, 14893, 11539}, {30, 15687, 3839}, {30, 15688, 1657}, {30, 3524, 15681}, {30, 3545, 15689}, {30, 381, 15688}, {30, 3845, 3524}, {376, 12101, 3843}, {376, 5068, 15713}, {381, 15693, 5079}, {381, 15706, 5055}, {381, 1657, 15693}, {381, 3830, 5076}, {382, 1656, 3146}, {382, 3534, 15684}, {382, 3853, 15696}, {546, 11001, 15694}, {547, 3529, 15695}, {549, 15640, 17800}, {549, 5066, 7486}, {550, 14892, 15708}, {550, 15703, 15716}, {2043, 2044, 14869}, {3090, 15690, 15718}, {3091, 15686, 15701}, {3146, 3524, 30}, {3526, 5076, 4}, {3534, 5054, 10304}, {3534, 5072, 549}, {3543, 17578, 15682}, {3543, 3830, 382}, {3628, 15720, 3526}, {3839, 15709, 5066}, {3845, 10124, 3855}, {3845, 15714, 12811}, {3851, 8703, 15723}, {3855, 15697, 10124}, {10124, 15691, 15714}, {10124, 15697, 3}, {11540, 15022, 15703}, {12702, 34648, 50797}, {12811, 15714, 2}, {13635, 16434, 20}, {14093, 14890, 15706}, {14269, 15689, 3545}, {14890, 15698, 15707}, {14893, 15700, 381}, {14893, 15759, 3857}, {15682, 15691, 5073}, {15682, 17578, 15687}, {15684, 17800, 15640}, {15685, 15698, 3534}, {15687, 17578, 3830}, {15709, 15721, 14890}, {17538, 17577, 12100}, {31162, 50866, 33697}, {39899, 54131, 51172}, {41945, 43380, 43430}, {41946, 43381, 43431}, {51167, 54131, 48884}

X(62021) = X(2)X(3)∩X(69)X(46851)

X(62021) lies on these lines: {2, 3}, {69, 46851}, {371, 42570}, {372, 42571}, {515, 61289}, {516, 61256}, {542, 51217}, {962, 61244}, {1056, 9670}, {1058, 9657}, {1131, 31487}, {1132, 42226}, {1352, 55586}, {1587, 53519}, {1588, 53518}, {3311, 43507}, {3312, 43508}, {3316, 9680}, {3317, 35787}, {3411, 42086}, {3412, 42085}, {3487, 51790}, {3618, 55700}, {3622, 28190}, {3818, 55592}, {4293, 9671}, {4294, 9656}, {4301, 61296}, {4309, 5229}, {4317, 5225}, {4678, 28216}, {4746, 41869}, {4816, 9589}, {5237, 42776}, {5238, 42775}, {5343, 42165}, {5344, 42164}, {5365, 42155}, {5366, 42154}, {5734, 22793}, {5881, 51118}, {6284, 31410}, {6361, 37714}, {6435, 23267}, {6436, 23273}, {6494, 7585}, {6495, 7586}, {6561, 31414}, {7581, 22644}, {7582, 22615}, {7747, 14075}, {7756, 31417}, {7796, 32822}, {7871, 32817}, {7982, 50862}, {7998, 46852}, {8960, 43503}, {8976, 9692}, {9588, 28150}, {9624, 28164}, {9681, 31412}, {9693, 42258}, {9698, 43619}, {9705, 26883}, {9780, 28154}, {9812, 33697}, {10110, 61136}, {10248, 28160}, {10483, 47743}, {10541, 51177}, {11455, 13598}, {11465, 13570}, {11477, 51022}, {11488, 43632}, {11489, 43633}, {12295, 12317}, {12325, 32340}, {12818, 35815}, {12819, 35814}, {13474, 14531}, {13886, 42263}, {13939, 42264}, {14487, 15740}, {14912, 55714}, {14927, 48895}, {15031, 52718}, {15058, 15606}, {15069, 51163}, {16263, 18849}, {16808, 43636}, {16809, 43637}, {16964, 42105}, {16965, 42104}, {17852, 43410}, {18513, 31452}, {20791, 44863}, {23253, 42271}, {23263, 42272}, {25406, 55702}, {25739, 32601}, {28146, 61258}, {28172, 61271}, {28194, 50874}, {28204, 50867}, {28208, 61282}, {29012, 55712}, {29317, 55605}, {31420, 57288}, {31450, 39590}, {31454, 43408}, {31670, 55719}, {33884, 45958}, {35770, 43516}, {35771, 43515}, {35812, 42275}, {35813, 42276}, {36967, 42494}, {36968, 42495}, {38021, 51080}, {38072, 51135}, {38074, 50814}, {39874, 48901}, {40065, 52945}, {40107, 43621}, {40693, 42140}, {40694, 42141}, {41112, 42909}, {41113, 42908}, {42099, 43463}, {42100, 43464}, {42101, 43193}, {42102, 43194}, {42103, 42433}, {42106, 42434}, {42108, 42156}, {42109, 42153}, {42112, 52079}, {42113, 52080}, {42119, 42813}, {42120, 42814}, {42122, 43364}, {42123, 43365}, {42133, 42148}, {42134, 42147}, {42150, 43542}, {42151, 43543}, {42157, 43399}, {42158, 43400}, {42159, 43769}, {42160, 42990}, {42161, 42991}, {42162, 43770}, {42268, 42414}, {42269, 42413}, {42431, 43481}, {42432, 43482}, {42490, 43397}, {42491, 43398}, {42545, 42939}, {42546, 42938}, {42815, 43473}, {42816, 43474}, {42817, 43634}, {42818, 43635}, {42912, 43477}, {42913, 43478}, {42928, 43642}, {42929, 43641}, {42934, 43778}, {42935, 43777}, {42940, 42998}, {42941, 42999}, {43018, 43033}, {43019, 43032}, {43256, 53516}, {43257, 53513}, {43413, 43562}, {43414, 43563}, {43504, 58866}, {46264, 55707}, {48661, 61249}, {48873, 55613}, {48884, 51538}, {48889, 55609}, {48904, 55589}, {48942, 55713}, {48943, 55599}, {50817, 50869}, {50818, 50866}, {50870, 51082}, {50956, 55631}, {50973, 51026}, {50974, 51167}, {50990, 55588}, {51029, 51179}, {51212, 55723}, {54891, 60219}, {59417, 61255}

X(62021) = midpoint of X(i) and X(j) for these {i,j}: {3146, 3523}
X(62021) = reflection of X(i) in X(j) for these {i,j}: {15700, 3845}, {20, 3526}, {3090, 4}, {3528, 3832}
X(62021) = anticomplement of X(62100)
X(62021) = pole of line {185, 41099} with respect to the Jerabek hyperbola
X(62021) = pole of line {69, 46853} with respect to the Wallace hyperbola
X(62021) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(25), X(46851)}}, {{A, B, C, X(68), X(15688)}}, {{A, B, C, X(69), X(46853)}}, {{A, B, C, X(381), X(18849)}}, {{A, B, C, X(546), X(18852)}}, {{A, B, C, X(1105), X(41099)}}, {{A, B, C, X(1593), X(14487)}}, {{A, B, C, X(3091), X(18847)}}, {{A, B, C, X(3521), X(15694)}}, {{A, B, C, X(3545), X(18846)}}, {{A, B, C, X(3832), X(18851)}}, {{A, B, C, X(3839), X(18853)}}, {{A, B, C, X(3843), X(18854)}}, {{A, B, C, X(3855), X(18848)}}, {{A, B, C, X(5059), X(15318)}}, {{A, B, C, X(10109), X(54838)}}, {{A, B, C, X(11539), X(54660)}}, {{A, B, C, X(12100), X(15740)}}, {{A, B, C, X(14869), X(31371)}}, {{A, B, C, X(15077), X(44245)}}, {{A, B, C, X(15685), X(21400)}}, {{A, B, C, X(15686), X(15749)}}, {{A, B, C, X(15693), X(54667)}}, {{A, B, C, X(15703), X(54763)}}, {{A, B, C, X(15721), X(60122)}}, {{A, B, C, X(17538), X(52441)}}
X(62021) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 5076, 4}, {2, 6838, 15711}, {3, 14893, 3854}, {4, 11001, 3091}, {4, 15682, 3529}, {4, 17538, 381}, {4, 3524, 546}, {4, 3529, 3545}, {4, 3544, 3845}, {4, 5067, 3843}, {5, 12108, 5070}, {5, 382, 3146}, {5, 5054, 13735}, {5, 548, 5054}, {20, 17578, 3853}, {20, 3526, 3528}, {20, 3832, 3526}, {20, 3843, 5067}, {20, 3855, 631}, {30, 3526, 20}, {30, 3845, 15700}, {381, 17538, 3533}, {382, 15696, 15684}, {382, 3627, 17578}, {382, 5076, 17800}, {546, 15696, 7486}, {546, 5059, 3524}, {631, 15710, 15717}, {631, 3528, 15698}, {1657, 12102, 3839}, {1657, 3525, 376}, {1657, 3830, 12102}, {1657, 3839, 3525}, {2041, 2042, 5059}, {2043, 2044, 15721}, {3091, 11001, 10299}, {3091, 13735, 5}, {3091, 5073, 11001}, {3146, 12103, 11541}, {3146, 3523, 30}, {3146, 3839, 1657}, {3522, 3544, 15709}, {3522, 3845, 3544}, {3528, 3832, 3090}, {3533, 17538, 15710}, {3543, 17578, 382}, {3544, 6831, 3832}, {3830, 5054, 15687}, {3843, 5067, 3855}, {3858, 15681, 10303}, {3860, 15705, 5071}, {3861, 17800, 2}, {5056, 6909, 10304}, {5059, 11540, 17538}, {5059, 7486, 15696}, {5076, 17800, 3861}, {6826, 12108, 15703}, {7385, 15683, 12103}, {7486, 15717, 11540}, {12108, 15700, 3523}, {14269, 15704, 5056}, {14784, 14785, 15688}, {22615, 52667, 7582}, {22644, 52666, 7581}

X(62022) = X(2)X(3)∩X(15)X(12820)

X(62022) lies on these lines: {2, 3}, {13, 43105}, {14, 43106}, {15, 12820}, {16, 12821}, {395, 43400}, {396, 43399}, {485, 6492}, {486, 6493}, {511, 51026}, {515, 50870}, {517, 50869}, {671, 54934}, {952, 50862}, {1327, 42225}, {1328, 42226}, {3244, 33697}, {3564, 51022}, {3626, 28198}, {3629, 48884}, {3631, 19924}, {3656, 61285}, {4669, 28174}, {4745, 28202}, {5844, 50865}, {5965, 51025}, {6154, 61605}, {6329, 48895}, {6490, 13846}, {6491, 13847}, {7583, 42417}, {7584, 42418}, {7988, 50833}, {8584, 48901}, {9541, 42639}, {9778, 50800}, {11542, 12816}, {11543, 12817}, {11645, 20583}, {12699, 34747}, {12818, 42577}, {12819, 42576}, {14458, 60626}, {14488, 60283}, {15300, 22505}, {15533, 39884}, {15534, 51167}, {16808, 42791}, {16809, 42792}, {17502, 51074}, {17503, 60335}, {17508, 51129}, {18358, 48943}, {18480, 38098}, {18538, 43210}, {18553, 41152}, {18762, 43209}, {19106, 42800}, {19107, 42799}, {22615, 42642}, {22644, 42641}, {22793, 51071}, {24981, 61598}, {28150, 51069}, {28160, 51103}, {28168, 50802}, {28178, 50796}, {28182, 50821}, {28190, 51709}, {28212, 50874}, {28224, 50866}, {28234, 51119}, {29323, 50959}, {31162, 51094}, {31673, 34641}, {32787, 43316}, {32788, 43317}, {33698, 54644}, {34380, 51024}, {34628, 51700}, {34648, 61510}, {35786, 42525}, {35787, 42524}, {36969, 42630}, {36970, 42629}, {38034, 51110}, {38138, 51068}, {40693, 42509}, {40694, 42508}, {41100, 42894}, {41101, 42895}, {41107, 42137}, {41108, 42136}, {41112, 42117}, {41113, 42118}, {41119, 43332}, {41120, 43333}, {41121, 42102}, {41122, 42101}, {42085, 49811}, {42086, 49810}, {42087, 49907}, {42088, 49908}, {42093, 42497}, {42094, 42496}, {42096, 43197}, {42097, 43198}, {42104, 42889}, {42105, 42888}, {42107, 42429}, {42108, 42912}, {42109, 42913}, {42110, 42430}, {42122, 43331}, {42123, 43330}, {42135, 49906}, {42138, 49905}, {42140, 42633}, {42141, 42634}, {42143, 43324}, {42146, 43325}, {42147, 42506}, {42148, 42507}, {42154, 42415}, {42155, 42416}, {42164, 42779}, {42165, 42780}, {42263, 43503}, {42264, 43504}, {42283, 42644}, {42284, 42643}, {42419, 61719}, {42431, 42533}, {42432, 42532}, {42502, 42813}, {42503, 42814}, {42528, 43369}, {42529, 43368}, {42574, 43256}, {42575, 43257}, {42584, 42631}, {42585, 42632}, {42588, 42975}, {42589, 42974}, {42598, 54480}, {42599, 54479}, {42627, 43475}, {42628, 43476}, {42817, 43639}, {42818, 43640}, {42922, 43488}, {42923, 43487}, {42924, 42972}, {42925, 42973}, {42970, 43250}, {42971, 43251}, {42988, 43201}, {42989, 43202}, {43102, 43230}, {43103, 43231}, {43403, 43630}, {43404, 43631}, {43501, 43540}, {43502, 43541}, {43548, 54577}, {43549, 54576}, {44324, 46847}, {44678, 53143}, {44935, 50708}, {45103, 54920}, {47353, 51164}, {48873, 51186}, {48904, 61545}, {50812, 61263}, {50964, 59411}, {50992, 51029}, {51075, 61280}, {51078, 59420}, {51142, 52987}, {51217, 54132}, {53105, 54851}, {53109, 54734}, {54131, 61624}, {54477, 60210}, {54494, 54645}, {54717, 60238}, {60132, 60216}

X(62022) = midpoint of X(i) and X(j) for these {i,j}: {5, 15684}, {382, 15687}, {549, 3146}, {3543, 3627}, {3845, 15682}, {5073, 15686}
X(62022) = reflection of X(i) in X(j) for these {i,j}: {140, 14893}, {11001, 15759}, {12100, 3845}, {12101, 3830}, {12103, 547}, {14893, 3853}, {15681, 3530}, {15686, 3628}, {15690, 5066}, {15691, 5}, {15704, 14891}, {20, 10124}, {376, 3850}, {381, 12102}, {3534, 10109}, {34628, 51700}, {44324, 46847}, {546, 15687}, {547, 4}, {548, 381}, {549, 3861}, {550, 11737}, {5066, 12101}, {61510, 34648}, {61597, 31162}, {61624, 54131}, {8703, 3860}
X(62022) = inverse of X(61977) in orthocentroidal circle
X(62022) = inverse of X(61977) in Yff hyperbola
X(62022) = complement of X(62154)
X(62022) = anticomplement of X(62101)
X(62022) = pole of line {523, 61977} with respect to the orthocentroidal circle
X(62022) = pole of line {6, 43032} with respect to the Kiepert hyperbola
X(62022) = pole of line {523, 61977} with respect to the Yff hyperbola
X(62022) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(15691)}}, {{A, B, C, X(468), X(54934)}}, {{A, B, C, X(548), X(54512)}}, {{A, B, C, X(5072), X(54585)}}, {{A, B, C, X(6662), X(50690)}}, {{A, B, C, X(11331), X(60626)}}, {{A, B, C, X(23046), X(54924)}}, {{A, B, C, X(37453), X(54851)}}, {{A, B, C, X(52292), X(60335)}}, {{A, B, C, X(52293), X(54920)}}
X(62022) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15688}, {2, 15640, 3529}, {2, 15681, 8703}, {2, 15697, 15715}, {2, 17504, 11812}, {2, 3528, 15693}, {2, 3830, 15687}, {2, 8703, 3530}, {4, 3146, 15696}, {4, 8703, 3860}, {5, 11001, 15759}, {30, 10109, 3534}, {30, 10124, 20}, {30, 12102, 381}, {30, 14891, 15704}, {30, 14893, 140}, {30, 15759, 11001}, {30, 3530, 15681}, {30, 3628, 15686}, {30, 381, 548}, {30, 3830, 12101}, {30, 3850, 376}, {30, 3853, 14893}, {30, 3861, 549}, {30, 5066, 15690}, {30, 547, 12103}, {381, 15709, 5}, {382, 15688, 15684}, {382, 3851, 3146}, {547, 12100, 11540}, {547, 15691, 15692}, {550, 14269, 11737}, {550, 15687, 14269}, {3090, 15714, 14890}, {3534, 3845, 10109}, {3543, 3627, 30}, {3544, 15698, 2}, {3545, 15704, 14891}, {3830, 12101, 3853}, {3839, 15686, 3628}, {3843, 15683, 11539}, {3853, 12103, 4}, {3860, 5066, 3859}, {3860, 8703, 547}, {5067, 15640, 15685}, {5079, 15681, 15710}, {11001, 15759, 15691}, {11737, 14269, 546}, {12100, 12101, 3845}, {14269, 15681, 5079}, {14269, 15700, 3855}, {14893, 15690, 5066}, {15681, 15710, 550}, {15688, 15709, 17504}, {15701, 15759, 12100}, {42633, 49825, 43207}, {42634, 49824, 43208}

X(62023) = X(2)X(3)∩X(6)X(48942)

X(62023) lies on these lines: {2, 3}, {6, 48942}, {17, 42096}, {18, 42097}, {53, 33636}, {61, 42909}, {62, 42908}, {185, 12002}, {355, 28232}, {397, 42105}, {398, 42104}, {542, 51167}, {1327, 31487}, {1350, 48943}, {1351, 48884}, {1482, 33697}, {3519, 32340}, {3531, 14861}, {3818, 55593}, {4301, 34748}, {4857, 7373}, {5050, 48895}, {5093, 48901}, {5270, 6767}, {5339, 19106}, {5340, 19107}, {5343, 42118}, {5344, 42117}, {5346, 21309}, {5349, 42086}, {5350, 42085}, {5365, 42141}, {5366, 42140}, {5493, 5790}, {5691, 8148}, {5818, 28182}, {5925, 18376}, {5965, 36990}, {6199, 23251}, {6243, 13474}, {6395, 23261}, {6407, 6564}, {6408, 6565}, {6417, 35821}, {6418, 35820}, {6445, 42266}, {6446, 42267}, {6449, 35786}, {6450, 35787}, {6472, 31412}, {6473, 42561}, {6474, 13903}, {6475, 13961}, {6500, 22644}, {6501, 22615}, {7745, 22246}, {7747, 43136}, {7843, 51122}, {8960, 42263}, {8976, 9690}, {9541, 10145}, {9589, 50798}, {9691, 42258}, {9703, 26883}, {9812, 18526}, {10137, 43339}, {10138, 43338}, {10247, 22793}, {10248, 34773}, {10263, 11455}, {10516, 55616}, {10627, 16261}, {10733, 12160}, {10990, 38724}, {10991, 38732}, {10992, 38743}, {10993, 38755}, {11178, 55602}, {11439, 13391}, {11480, 42979}, {11481, 42978}, {11482, 11645}, {11485, 42432}, {11486, 42431}, {11522, 28160}, {11542, 43770}, {11543, 43769}, {12017, 29323}, {12295, 38790}, {12315, 34786}, {12645, 58247}, {12699, 28236}, {12816, 43426}, {12817, 43427}, {12902, 13202}, {13093, 14864}, {13321, 13491}, {13340, 44870}, {13598, 18439}, {13665, 42271}, {13785, 42272}, {13951, 42276}, {13966, 17851}, {14841, 22334}, {14862, 17845}, {15026, 52093}, {15056, 54047}, {15603, 18424}, {15655, 39565}, {16194, 37484}, {16960, 42094}, {16961, 42093}, {18383, 35450}, {18394, 34469}, {18436, 32062}, {18440, 51163}, {18492, 28154}, {18493, 28164}, {18525, 28234}, {18538, 42413}, {18550, 43908}, {18553, 33878}, {18762, 42414}, {19130, 55692}, {21400, 43719}, {22331, 39563}, {23039, 46849}, {23253, 42225}, {23263, 42226}, {24206, 55632}, {25555, 48905}, {25561, 55626}, {26864, 40242}, {28158, 61261}, {28190, 58233}, {28202, 37714}, {28204, 50866}, {28228, 31673}, {29012, 53091}, {29317, 55604}, {30308, 31666}, {30315, 31663}, {30714, 38789}, {31670, 48662}, {33520, 38767}, {34507, 48910}, {34632, 61255}, {34780, 51491}, {36969, 41973}, {36970, 41974}, {36987, 46852}, {36999, 44455}, {37727, 50870}, {38733, 39838}, {38744, 39809}, {39899, 51538}, {40693, 43402}, {40694, 43401}, {41362, 48672}, {41963, 42269}, {41964, 42268}, {42087, 42921}, {42088, 42920}, {42099, 43238}, {42100, 43239}, {42101, 42131}, {42102, 42130}, {42103, 42944}, {42106, 42945}, {42108, 42128}, {42109, 42125}, {42112, 42132}, {42113, 42129}, {42121, 42776}, {42122, 42962}, {42123, 42963}, {42124, 42775}, {42136, 42999}, {42137, 42998}, {42144, 42817}, {42145, 42818}, {42159, 42778}, {42160, 42941}, {42161, 42940}, {42162, 42777}, {42164, 42974}, {42165, 42975}, {42259, 45385}, {42264, 58866}, {42429, 42580}, {42430, 42581}, {42516, 43416}, {42517, 43417}, {42586, 49908}, {42587, 49907}, {42813, 43399}, {42814, 43400}, {42926, 43648}, {42927, 43647}, {42936, 43240}, {42937, 43241}, {42960, 43645}, {42961, 43646}, {42986, 43496}, {42987, 43495}, {43010, 43022}, {43011, 43023}, {43105, 43773}, {43106, 43774}, {43292, 43325}, {43293, 43324}, {43422, 49947}, {43423, 49948}, {43477, 43634}, {43478, 43635}, {43626, 43629}, {43627, 43628}, {45959, 54048}, {47353, 55580}, {48673, 52854}, {48680, 52836}, {48872, 55624}, {48879, 55643}, {48889, 55610}, {48896, 55682}, {50805, 50867}, {50955, 51164}, {50957, 55620}, {50962, 51217}, {50963, 53093}, {50993, 55600}, {51024, 55724}, {51175, 51213}, {52835, 60884}, {53023, 55705}, {58228, 61272}, {58236, 61288}

X(62023) = midpoint of X(i) and X(j) for these {i,j}: {382, 5076}, {631, 3146}
X(62023) = reflection of X(i) in X(j) for these {i,j}: {1656, 4}, {1657, 3522}, {11001, 15714}, {15681, 15693}, {15692, 3845}, {15695, 381}, {15696, 3091}, {15713, 14893}, {17538, 5}, {17578, 3627}, {20, 632}, {3, 3843}, {3522, 3858}, {3534, 5071}, {3843, 5076}, {3859, 12102}, {5076, 17578}, {52093, 15026}
X(62023) = inverse of X(61976) in orthocentroidal circle
X(62023) = inverse of X(37936) in Stammler circle
X(62023) = inverse of X(61976) in Yff hyperbola
X(62023) = anticomplement of X(62104)
X(62023) = pole of line {523, 61976} with respect to the orthocentroidal circle
X(62023) = pole of line {523, 37936} with respect to the Stammler circle
X(62023) = pole of line {185, 61970} with respect to the Jerabek hyperbola
X(62023) = pole of line {6, 43422} with respect to the Kiepert hyperbola
X(62023) = pole of line {523, 61976} with respect to the Yff hyperbola
X(62023) = pole of line {69, 55647} with respect to the Wallace hyperbola
X(62023) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(253), X(58208)}}, {{A, B, C, X(265), X(17538)}}, {{A, B, C, X(3090), X(18550)}}, {{A, B, C, X(3426), X(44879)}}, {{A, B, C, X(3519), X(3528)}}, {{A, B, C, X(3521), X(3525)}}, {{A, B, C, X(3522), X(14841)}}, {{A, B, C, X(3524), X(14861)}}, {{A, B, C, X(3527), X(35475)}}, {{A, B, C, X(3529), X(21400)}}, {{A, B, C, X(3531), X(14865)}}, {{A, B, C, X(5068), X(18846)}}, {{A, B, C, X(6662), X(33699)}}, {{A, B, C, X(11541), X(17505)}}, {{A, B, C, X(11812), X(60122)}}, {{A, B, C, X(14528), X(23040)}}, {{A, B, C, X(15695), X(54512)}}, {{A, B, C, X(19708), X(42021)}}, {{A, B, C, X(21844), X(43719)}}, {{A, B, C, X(31361), X(58188)}}, {{A, B, C, X(35473), X(43908)}}, {{A, B, C, X(35489), X(38433)}}, {{A, B, C, X(35502), X(61137)}}
X(62023) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15702, 6948}, {3, 3526, 15722}, {3, 382, 15684}, {4, 11541, 3533}, {4, 15682, 5059}, {4, 20, 3850}, {4, 3146, 550}, {4, 3523, 546}, {4, 3529, 5068}, {4, 3533, 3839}, {4, 382, 5073}, {4, 5059, 5}, {4, 5068, 3845}, {5, 17538, 15693}, {5, 30, 17538}, {20, 632, 14093}, {30, 12102, 3859}, {30, 14893, 15713}, {30, 15693, 15681}, {30, 15714, 11001}, {30, 17578, 5076}, {30, 3091, 15696}, {30, 3522, 1657}, {30, 3627, 17578}, {30, 381, 15695}, {30, 3845, 15692}, {30, 5071, 3534}, {30, 5076, 3843}, {30, 632, 20}, {376, 3861, 5072}, {381, 11001, 15707}, {381, 12100, 5055}, {381, 3146, 17800}, {381, 3534, 11539}, {381, 382, 3146}, {382, 3627, 3830}, {382, 5076, 30}, {546, 3534, 5070}, {548, 3839, 5079}, {548, 5079, 15701}, {631, 17538, 10304}, {631, 17578, 3853}, {1656, 14093, 15720}, {1656, 15696, 15712}, {1656, 15712, 15694}, {1656, 15720, 632}, {1656, 3858, 3851}, {1656, 5076, 4}, {2043, 2044, 11812}, {3091, 15712, 1656}, {3146, 3853, 381}, {3522, 5056, 631}, {3526, 3529, 15689}, {3543, 3627, 382}, {3830, 15684, 14269}, {3830, 5055, 15687}, {3832, 15704, 5054}, {3839, 11541, 548}, {3843, 15689, 12812}, {3843, 15694, 3091}, {3843, 3851, 3858}, {3851, 15681, 10299}, {3856, 15686, 3525}, {5349, 42086, 42989}, {5350, 42085, 42988}, {5365, 42141, 42924}, {5366, 42925, 42815}, {10299, 17538, 3522}, {10304, 15702, 12100}, {12085, 13621, 3}, {12101, 15704, 3832}, {12812, 15692, 3526}, {14269, 15684, 15685}, {14269, 15685, 15703}, {14813, 14814, 3528}, {14893, 15640, 15688}, {15695, 15707, 15714}, {34786, 61721, 12315}, {52838, 52839, 36990}

X(62024) = X(2)X(3)∩X(6)X(42964)

X(62024) lies on these lines: {2, 3}, {6, 42964}, {542, 51164}, {576, 48942}, {3818, 55595}, {5881, 50866}, {6199, 42271}, {6395, 42272}, {6407, 42275}, {6408, 42276}, {6417, 22644}, {6418, 22615}, {6427, 35821}, {6428, 35820}, {6445, 42269}, {6446, 42268}, {6447, 35815}, {6448, 35814}, {6453, 45384}, {6454, 45385}, {6472, 13925}, {6473, 13993}, {6519, 6564}, {6522, 6565}, {7687, 38633}, {7982, 33697}, {8148, 51118}, {8972, 10145}, {9588, 50800}, {9691, 31412}, {9692, 42639}, {10146, 13941}, {10248, 28190}, {10516, 55620}, {10541, 29323}, {11439, 54048}, {11477, 48662}, {11482, 48901}, {11485, 42895}, {11486, 42894}, {11645, 53858}, {12279, 13321}, {12308, 13202}, {13340, 40247}, {13886, 43383}, {13939, 43382}, {14692, 38733}, {15044, 34584}, {15069, 51167}, {15811, 50461}, {16189, 51087}, {17505, 44763}, {18396, 34563}, {18483, 58230}, {19106, 42689}, {19107, 42688}, {21358, 55623}, {21400, 43691}, {25561, 55628}, {28168, 30389}, {28204, 50874}, {29012, 53092}, {29317, 55602}, {31454, 43503}, {32340, 54202}, {33541, 53779}, {33887, 37489}, {34628, 58232}, {34748, 58240}, {34786, 58795}, {36969, 42934}, {36970, 42935}, {36990, 55724}, {38072, 55698}, {38638, 46686}, {41963, 43568}, {41964, 43569}, {42093, 42690}, {42094, 42691}, {42104, 42165}, {42105, 42164}, {42108, 42162}, {42109, 42159}, {42112, 42598}, {42113, 42599}, {42126, 42161}, {42127, 42160}, {42129, 42685}, {42130, 42166}, {42131, 42163}, {42132, 42684}, {42136, 56617}, {42137, 56616}, {42270, 43882}, {42273, 43881}, {42283, 43431}, {42284, 43430}, {42429, 42491}, {42430, 42490}, {42433, 43545}, {42434, 43544}, {42506, 43422}, {42507, 43423}, {42612, 43776}, {42613, 43775}, {42795, 43238}, {42796, 43239}, {42954, 43227}, {42955, 43226}, {42996, 43026}, {42997, 43027}, {43032, 43304}, {43033, 43305}, {43150, 48904}, {43244, 43547}, {43245, 43546}, {43399, 43632}, {43400, 43633}, {43542, 43634}, {43543, 43635}, {43621, 55593}, {43626, 46473}, {43627, 46476}, {44456, 51163}, {45958, 54047}, {47353, 55583}, {48661, 51515}, {48889, 55614}, {48895, 53093}, {48910, 55580}, {48943, 52987}, {51024, 55721}, {53023, 55701}

X(62024) = midpoint of X(i) and X(j) for these {i,j}: {3090, 3146}
X(62024) = reflection of X(i) in X(j) for these {i,j}: {1657, 3528}, {15681, 15701}, {3526, 4}
X(62024) = inverse of X(37939) in Stammler circle
X(62024) = anticomplement of X(62106)
X(62024) = pole of line {523, 37939} with respect to the Stammler circle
X(62024) = pole of line {185, 61968} with respect to the Jerabek hyperbola
X(62024) = pole of line {69, 55645} with respect to the Wallace hyperbola
X(62024) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3521), X(3533)}}, {{A, B, C, X(3527), X(35478)}}, {{A, B, C, X(5056), X(18550)}}, {{A, B, C, X(5059), X(21400)}}, {{A, B, C, X(5066), X(18848)}}, {{A, B, C, X(10299), X(13623)}}, {{A, B, C, X(11001), X(32533)}}, {{A, B, C, X(15022), X(18846)}}, {{A, B, C, X(15702), X(31371)}}, {{A, B, C, X(17505), X(33703)}}, {{A, B, C, X(17506), X(44763)}}, {{A, B, C, X(21735), X(34483)}}, {{A, B, C, X(21844), X(43691)}}, {{A, B, C, X(22334), X(47485)}}
X(62024) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14269, 3091}, {3, 15685, 12103}, {3, 15703, 14869}, {3, 3525, 15707}, {3, 3627, 3830}, {3, 5079, 15694}, {4, 10303, 546}, {4, 10304, 3856}, {4, 15683, 5}, {4, 15684, 17800}, {4, 15698, 3832}, {4, 20, 5066}, {4, 30, 3526}, {4, 3146, 15704}, {4, 3529, 15022}, {4, 382, 15684}, {30, 15701, 15681}, {30, 3528, 1657}, {381, 3534, 15709}, {382, 1657, 15682}, {382, 5076, 3146}, {443, 5068, 5056}, {546, 15704, 10303}, {550, 7486, 15706}, {632, 17504, 12108}, {1656, 12103, 3}, {1657, 14269, 5070}, {1657, 3853, 14269}, {1657, 5070, 15695}, {3090, 3146, 30}, {3090, 3523, 632}, {3090, 3857, 5072}, {3146, 3627, 5076}, {3526, 3851, 5055}, {3526, 5072, 3090}, {3528, 14269, 3851}, {3529, 12102, 381}, {3529, 15022, 548}, {3529, 17578, 12102}, {3627, 12102, 17578}, {3830, 5073, 3843}, {3856, 10304, 1656}, {3861, 5059, 5054}, {5055, 15695, 549}, {15022, 15640, 3529}, {15022, 15709, 3628}, {15640, 17578, 4}, {15684, 17800, 5073}, {42964, 42965, 6}

X(62025) = X(2)X(3)∩X(15)X(42518)

X(62025) lies on these lines: {2, 3}, {15, 42518}, {16, 42519}, {371, 42577}, {372, 42576}, {511, 51167}, {516, 50797}, {517, 50866}, {599, 48943}, {952, 50873}, {1503, 51172}, {3311, 43322}, {3312, 43323}, {3564, 51029}, {3633, 33697}, {4668, 28198}, {4669, 28232}, {4677, 48661}, {5844, 50863}, {5965, 51024}, {6144, 48884}, {6221, 43503}, {6398, 43504}, {6439, 6564}, {6440, 6565}, {6441, 18512}, {6442, 18510}, {6451, 60297}, {6452, 60298}, {6476, 13846}, {6477, 13847}, {6478, 13903}, {6479, 13961}, {9680, 42606}, {9690, 42639}, {10653, 42682}, {10654, 42683}, {12816, 16960}, {12817, 16961}, {15534, 51164}, {16966, 43368}, {16967, 43369}, {22236, 43550}, {22238, 43551}, {28146, 51066}, {28158, 50799}, {28164, 50806}, {28172, 51109}, {28228, 50798}, {28234, 50862}, {28236, 50805}, {29181, 50954}, {29317, 50993}, {31454, 42608}, {34380, 51216}, {35255, 43405}, {35256, 43406}, {35770, 42642}, {35771, 42641}, {36967, 42962}, {36968, 42963}, {41100, 42816}, {41101, 42815}, {41107, 42126}, {41108, 42127}, {41112, 43402}, {41113, 43401}, {41121, 42096}, {41122, 42097}, {42087, 42512}, {42088, 42513}, {42093, 46334}, {42094, 46335}, {42104, 43229}, {42105, 43228}, {42108, 42511}, {42109, 42510}, {42112, 42791}, {42113, 42792}, {42125, 49904}, {42128, 49903}, {42129, 42631}, {42130, 49905}, {42131, 49906}, {42132, 42632}, {42150, 42502}, {42151, 42503}, {42154, 43232}, {42155, 43233}, {42431, 42508}, {42432, 42509}, {42435, 42506}, {42436, 42507}, {42516, 49825}, {42517, 49824}, {42520, 42974}, {42521, 42975}, {42524, 42527}, {42525, 42526}, {42584, 43247}, {42585, 43246}, {42640, 43415}, {42902, 43429}, {42903, 43428}, {42996, 49908}, {42997, 49907}, {43304, 49948}, {43305, 49947}, {43471, 43877}, {43472, 43878}, {48889, 51186}, {48942, 54131}, {50800, 51069}, {50813, 61262}, {50874, 51093}, {50957, 51143}, {50962, 51026}, {50964, 55682}, {50992, 51217}, {50994, 55593}, {51022, 51175}, {51165, 51174}, {54890, 60287}, {60326, 60638}

X(62025) = midpoint of X(i) and X(j) for these {i,j}: {3146, 5071}, {3843, 15684}
X(62025) = reflection of X(i) in X(j) for these {i,j}: {1657, 14093}, {11001, 15711}, {14093, 3843}, {15681, 631}, {15685, 15697}, {15686, 12812}, {15694, 4}, {15696, 381}, {15712, 14893}, {376, 3858}, {381, 5076}, {3091, 15687}
X(62025) = anticomplement of X(62108)
X(62025) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3830), X(57896)}}, {{A, B, C, X(10109), X(18550)}}, {{A, B, C, X(12811), X(54585)}}, {{A, B, C, X(15696), X(54512)}}
X(62025) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 548}, {2, 3627, 3830}, {2, 8703, 15718}, {3, 3830, 12101}, {3, 3859, 1656}, {4, 30, 15694}, {30, 14093, 1657}, {30, 14893, 15712}, {30, 15687, 3091}, {30, 15711, 11001}, {30, 381, 15696}, {30, 3858, 376}, {30, 5076, 381}, {30, 631, 15681}, {381, 1657, 15706}, {382, 3534, 15682}, {1656, 15695, 15693}, {1656, 17578, 5076}, {1657, 15688, 15686}, {1657, 5076, 3843}, {3091, 11001, 15711}, {3146, 5071, 30}, {3534, 12100, 15688}, {3534, 13633, 15640}, {3830, 15684, 2}, {3830, 15685, 4}, {3839, 17800, 15700}, {3850, 15686, 15708}, {5066, 15681, 15716}, {5073, 15687, 5054}, {6926, 14269, 5066}, {10109, 15682, 5073}, {10299, 15687, 14269}, {11540, 12101, 3845}, {11737, 15640, 15685}, {11737, 17504, 16863}, {12100, 14869, 15719}, {12100, 15685, 3534}, {12101, 15640, 3}, {14269, 15718, 3850}, {14893, 15689, 5072}, {15682, 17578, 15713}, {15685, 15694, 15697}, {15686, 15694, 14093}

X(62026) = X(2)X(3)∩X(6)X(42888)

X(62026) lies on these lines: {2, 3}, {6, 42888}, {10, 28182}, {15, 42693}, {16, 42692}, {17, 41978}, {18, 41977}, {40, 61257}, {61, 43402}, {62, 43401}, {141, 55608}, {143, 12002}, {195, 12112}, {265, 13393}, {355, 28216}, {371, 53517}, {372, 53520}, {397, 19107}, {398, 19106}, {511, 32137}, {515, 61292}, {516, 61510}, {517, 61246}, {542, 51026}, {576, 51136}, {946, 28190}, {952, 33697}, {1154, 13433}, {1353, 51538}, {1483, 9812}, {1503, 48942}, {1539, 30714}, {1699, 51700}, {2794, 61600}, {2829, 61601}, {3060, 45957}, {3519, 13603}, {3521, 57730}, {3564, 48884}, {3589, 55686}, {3818, 55596}, {3819, 11017}, {4857, 18990}, {5229, 10386}, {5270, 15171}, {5318, 42432}, {5321, 42431}, {5339, 42104}, {5340, 42105}, {5343, 42141}, {5344, 42140}, {5349, 11543}, {5350, 11542}, {5365, 11486}, {5366, 11485}, {5480, 55710}, {5493, 18480}, {5558, 18530}, {5663, 13598}, {5690, 61256}, {5691, 5844}, {5840, 61605}, {5843, 52835}, {5876, 32062}, {5882, 22793}, {5893, 14862}, {5894, 18376}, {5901, 28164}, {6101, 16194}, {6243, 11455}, {6361, 38138}, {6468, 8981}, {6469, 13966}, {6470, 6561}, {6471, 6560}, {6564, 41961}, {6565, 41962}, {6688, 44871}, {6749, 59649}, {7583, 42271}, {7584, 42272}, {7755, 53419}, {7860, 32819}, {7871, 32820}, {8162, 12953}, {8550, 15520}, {8960, 42284}, {8976, 42413}, {9541, 43413}, {9589, 50817}, {9681, 43503}, {9955, 28172}, {9956, 28158}, {10095, 46850}, {10113, 10990}, {10152, 14863}, {10187, 43101}, {10188, 43104}, {10222, 51082}, {10246, 10248}, {10263, 11381}, {10272, 22250}, {10619, 20585}, {10627, 44870}, {10722, 45155}, {10723, 52090}, {10991, 22515}, {10992, 22505}, {10993, 22799}, {11224, 12699}, {11439, 37484}, {11522, 34773}, {11591, 46849}, {11801, 20417}, {11803, 18400}, {12006, 14641}, {12279, 45956}, {12295, 18555}, {13202, 13431}, {13348, 46852}, {13363, 44863}, {13391, 31834}, {13403, 61299}, {13421, 13754}, {13451, 13630}, {13464, 28160}, {13491, 16881}, {13925, 42258}, {13951, 42414}, {13993, 42259}, {14128, 46847}, {14855, 15026}, {14864, 15311}, {14900, 19160}, {14927, 59399}, {15105, 18381}, {15325, 18514}, {15516, 29012}, {15644, 45958}, {15726, 61541}, {15805, 33534}, {15807, 44829}, {15811, 16266}, {16808, 42585}, {16809, 42584}, {16836, 18874}, {16964, 42941}, {16965, 42940}, {17702, 61598}, {18357, 28146}, {18358, 29317}, {18383, 61540}, {18481, 61275}, {18483, 28168}, {18538, 41948}, {18553, 29181}, {18583, 48895}, {18762, 41947}, {19130, 55690}, {19925, 28154}, {20070, 59400}, {20190, 50959}, {22615, 42216}, {22644, 42215}, {22791, 61287}, {22802, 44762}, {22804, 54201}, {23249, 43411}, {23251, 42225}, {23253, 42570}, {23259, 43412}, {23261, 42226}, {23263, 42571}, {23698, 61599}, {24206, 55634}, {24305, 59371}, {25555, 29323}, {28150, 61524}, {28174, 31673}, {28194, 50870}, {28202, 50814}, {28204, 50869}, {28208, 61286}, {28212, 37712}, {31162, 61289}, {31406, 43619}, {31447, 34638}, {31487, 43257}, {31663, 61262}, {31730, 61259}, {32515, 52854}, {32903, 58434}, {34380, 36990}, {34507, 48904}, {34564, 43585}, {34573, 48920}, {34754, 43546}, {34755, 43547}, {34786, 51491}, {35255, 35786}, {35256, 35787}, {35812, 43210}, {35813, 43209}, {35820, 53519}, {35821, 53518}, {36969, 42164}, {36970, 42165}, {36992, 52839}, {36994, 52838}, {37705, 48661}, {37727, 50874}, {38136, 48905}, {39884, 48910}, {42085, 43422}, {42086, 43423}, {42087, 42627}, {42088, 42628}, {42093, 42145}, {42094, 42144}, {42096, 42138}, {42097, 42135}, {42099, 42146}, {42100, 42143}, {42103, 43239}, {42106, 43238}, {42111, 42774}, {42112, 42124}, {42113, 42121}, {42114, 42773}, {42115, 42495}, {42116, 42494}, {42125, 43631}, {42126, 42998}, {42127, 42999}, {42128, 43630}, {42133, 42989}, {42134, 42988}, {42147, 42992}, {42148, 42993}, {42159, 42497}, {42162, 42496}, {42163, 43633}, {42166, 43632}, {42260, 42568}, {42261, 42569}, {42270, 42557}, {42273, 42558}, {42283, 58866}, {42429, 42489}, {42430, 42488}, {42433, 42793}, {42434, 42794}, {42537, 42639}, {42538, 42640}, {42580, 42958}, {42581, 42959}, {42629, 43775}, {42630, 43776}, {42637, 43406}, {42638, 43405}, {42795, 42947}, {42796, 42946}, {42813, 42912}, {42814, 42913}, {42894, 43019}, {42895, 43018}, {42918, 42948}, {42919, 42949}, {42936, 43226}, {42937, 43227}, {42938, 42961}, {42939, 42960}, {42942, 43399}, {42943, 43400}, {42994, 43229}, {42995, 43228}, {43242, 43557}, {43243, 43556}, {43338, 43524}, {43339, 43523}, {43542, 43639}, {43543, 43640}, {43621, 48876}, {43699, 43719}, {44882, 55693}, {44935, 52863}, {48880, 55635}, {48881, 55630}, {48889, 55615}, {48898, 55689}, {50973, 51167}, {50991, 55597}, {51023, 55724}, {51029, 51178}, {51732, 53023}, {52047, 53513}, {52048, 53516}, {52837, 52851}

X(62026) = midpoint of X(i) and X(j) for these {i,j}: {5, 3146}, {382, 3627}, {550, 5073}, {3845, 15684}, {10263, 11381}, {15640, 15686}, {15682, 15687}, {33697, 51118}, {34786, 51491}, {37705, 48661}, {39884, 48910}, {43621, 48876}, {48884, 51163}
X(62026) = reflection of X(i) in X(j) for these {i,j}: {140, 4}, {10627, 44870}, {11001, 14891}, {11591, 46849}, {12100, 14893}, {12103, 5}, {13348, 46852}, {13382, 12002}, {13471, 16340}, {13491, 16881}, {14449, 13598}, {14641, 12006}, {14893, 3830}, {15644, 45958}, {15681, 11812}, {15686, 10109}, {15690, 381}, {15691, 5066}, {15704, 3530}, {18583, 48895}, {20, 3628}, {3, 3861}, {376, 3860}, {3534, 11737}, {3853, 3627}, {3859, 5076}, {31730, 61259}, {44829, 15807}, {46850, 10095}, {48920, 34573}, {5, 12102}, {546, 3853}, {547, 12101}, {548, 546}, {550, 3850}, {5066, 15687}, {54201, 22804}, {61540, 18383}
X(62026) = inverse of X(61975) in orthocentroidal circle
X(62026) = inverse of X(61975) in Yff hyperbola
X(62026) = complement of X(62155)
X(62026) = anticomplement of X(44245)
X(62026) = pole of line {523, 61975} with respect to the orthocentroidal circle
X(62026) = pole of line {185, 3858} with respect to the Jerabek hyperbola
X(62026) = pole of line {6, 61975} with respect to the Kiepert hyperbola
X(62026) = pole of line {523, 61975} with respect to the Yff hyperbola
X(62026) = pole of line {69, 55644} with respect to the Wallace hyperbola
X(62026) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(30), X(14863)}}, {{A, B, C, X(265), X(12103)}}, {{A, B, C, X(632), X(3521)}}, {{A, B, C, X(1105), X(3858)}}, {{A, B, C, X(3518), X(13603)}}, {{A, B, C, X(3519), X(8703)}}, {{A, B, C, X(3520), X(57730)}}, {{A, B, C, X(3529), X(43699)}}, {{A, B, C, X(3530), X(14861)}}, {{A, B, C, X(3534), X(52441)}}, {{A, B, C, X(3543), X(6662)}}, {{A, B, C, X(3851), X(18848)}}, {{A, B, C, X(3854), X(18850)}}, {{A, B, C, X(5056), X(18846)}}, {{A, B, C, X(5079), X(18550)}}, {{A, B, C, X(10124), X(40448)}}, {{A, B, C, X(14491), X(35475)}}, {{A, B, C, X(15690), X(54512)}}, {{A, B, C, X(15701), X(60122)}}, {{A, B, C, X(21400), X(49137)}}, {{A, B, C, X(21734), X(42021)}}, {{A, B, C, X(43719), X(55576)}}, {{A, B, C, X(43970), X(44682)}}, {{A, B, C, X(46081), X(57584)}}, {{A, B, C, X(55861), X(60171)}}
X(62026) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 17578, 15687}, {3, 381, 7486}, {3, 382, 15682}, {3, 3855, 15699}, {3, 3861, 5066}, {3, 4, 3858}, {3, 5, 10124}, {3, 7486, 15713}, {4, 10295, 10019}, {4, 10299, 3832}, {4, 11541, 10299}, {4, 3146, 1657}, {4, 3522, 381}, {4, 3529, 5056}, {4, 376, 3854}, {4, 5056, 3843}, {4, 5059, 1656}, {5, 3627, 3830}, {5, 376, 12108}, {5, 550, 3523}, {20, 3845, 3628}, {20, 3851, 15712}, {20, 5076, 3845}, {30, 11737, 3534}, {30, 11812, 15681}, {30, 12101, 547}, {30, 14891, 11001}, {30, 14893, 12100}, {30, 16340, 13471}, {30, 3530, 15704}, {30, 3627, 3853}, {30, 3628, 20}, {30, 381, 15690}, {30, 3860, 376}, {30, 5066, 15691}, {30, 5076, 3859}, {140, 3853, 4}, {381, 3530, 12812}, {382, 3543, 3627}, {382, 3830, 3146}, {382, 5076, 15684}, {549, 3843, 12811}, {631, 14269, 3857}, {632, 3832, 11737}, {1656, 5059, 550}, {1656, 5073, 5059}, {1885, 18325, 16618}, {2043, 2044, 15701}, {3090, 10303, 2049}, {3091, 8703, 16239}, {3146, 12102, 12103}, {3146, 17578, 3839}, {3146, 3627, 12102}, {3523, 3533, 5054}, {3523, 3839, 5068}, {3528, 17571, 15700}, {3528, 5072, 11539}, {3529, 3843, 549}, {3530, 12108, 15722}, {3533, 3845, 3850}, {3534, 3832, 632}, {3545, 15696, 14869}, {3627, 15687, 17578}, {3628, 3859, 14892}, {3830, 12100, 12101}, {3845, 15712, 3851}, {3857, 15686, 631}, {3858, 15712, 5071}, {5056, 11001, 6827}, {5068, 15682, 5073}, {5071, 17578, 5076}, {5072, 15685, 3528}, {5073, 5076, 3533}, {5321, 42431, 42924}, {5349, 42109, 42158}, {5349, 42158, 11543}, {5350, 42108, 42157}, {5350, 42157, 11542}, {5663, 13598, 14449}, {6658, 8352, 8361}, {7517, 15331, 12105}, {10124, 12102, 3861}, {10124, 15687, 14893}, {12002, 13382, 143}, {12002, 14915, 13382}, {12086, 18378, 15646}, {12100, 12103, 548}, {12102, 12103, 546}, {12103, 14893, 5}, {12812, 15690, 3530}, {14269, 15640, 15686}, {14269, 15686, 10109}, {14813, 14814, 8703}, {14869, 15696, 15759}, {15640, 15686, 30}, {15682, 17578, 3}, {15720, 16239, 140}, {33697, 51118, 952}, {34754, 43546, 43773}, {34755, 43547, 43774}, {42133, 43769, 42989}, {42134, 43770, 42988}, {42433, 42978, 42793}, {42434, 42979, 42794}, {42888, 42889, 6}, {48884, 51163, 3564}

X(62027) = X(2)X(3)∩X(485)X(6474)

X(62027) lies on these lines: {2, 3}, {485, 6474}, {486, 6475}, {515, 58238}, {1351, 48942}, {1384, 39563}, {3098, 50957}, {3579, 50800}, {3653, 28172}, {3655, 51075}, {4746, 31673}, {4816, 41869}, {5093, 11645}, {5339, 43008}, {5340, 43009}, {5349, 42510}, {5350, 42511}, {6472, 42258}, {6473, 42259}, {6500, 35821}, {6501, 35820}, {6564, 9690}, {6565, 43415}, {8148, 33697}, {8976, 43210}, {9166, 38634}, {9680, 42526}, {9691, 13846}, {10247, 28208}, {10722, 12355}, {11178, 55604}, {11179, 51130}, {11180, 51217}, {11485, 42973}, {11486, 42972}, {11542, 43201}, {11543, 43202}, {11648, 43136}, {11820, 51993}, {12699, 34748}, {12818, 43380}, {12819, 43381}, {13951, 43209}, {15905, 36430}, {16261, 54047}, {16267, 43781}, {16268, 43782}, {16808, 43325}, {16809, 43324}, {16962, 42094}, {16963, 42093}, {17851, 42276}, {18440, 50961}, {18481, 58233}, {18525, 50804}, {18550, 44731}, {19875, 28154}, {19883, 58226}, {21358, 55624}, {23234, 38635}, {23251, 43385}, {23253, 52047}, {23261, 43384}, {23263, 52048}, {25561, 55629}, {28146, 38066}, {28168, 38021}, {28178, 38074}, {28190, 38314}, {28202, 38176}, {29323, 38072}, {31162, 50874}, {31670, 51026}, {33878, 48943}, {34627, 50867}, {34628, 50806}, {34632, 50797}, {34638, 50799}, {36969, 42799}, {36970, 42800}, {38637, 59377}, {39838, 48657}, {41107, 43776}, {41108, 43775}, {42090, 43107}, {42091, 43100}, {42095, 42429}, {42098, 42430}, {42104, 42975}, {42105, 42974}, {42119, 43328}, {42120, 43329}, {42126, 42941}, {42127, 42940}, {42225, 43316}, {42226, 43317}, {42275, 45384}, {42690, 43196}, {42691, 43195}, {42785, 48905}, {42791, 42921}, {42792, 42920}, {42914, 51944}, {42915, 51945}, {42928, 43293}, {42929, 43292}, {43026, 49908}, {43027, 49907}, {43193, 54594}, {43194, 54593}, {43312, 43788}, {43313, 43787}, {43330, 43400}, {43331, 43399}, {43497, 43636}, {43498, 43637}, {43542, 43630}, {43543, 43631}, {43632, 49905}, {43633, 49906}, {44456, 48884}, {47353, 48904}, {47745, 48661}, {48662, 51163}, {48889, 55616}, {48895, 50963}, {48906, 51173}, {48910, 50955}, {50805, 50873}, {50819, 61272}, {50868, 61244}, {50954, 54170}, {50962, 51029}, {50993, 55602}, {51164, 54131}, {51175, 51216}, {51189, 55588}, {54891, 60626}

X(62027) = midpoint of X(i) and X(j) for these {i,j}: {3146, 3545}, {5073, 15689}, {14269, 15684}
X(62027) = reflection of X(i) in X(j) for these {i,j}: {10304, 3845}, {1657, 10304}, {11001, 17504}, {14269, 3830}, {15681, 5054}, {15685, 15689}, {15688, 3839}, {15689, 381}, {15699, 12101}, {17504, 14893}, {20, 15699}, {3, 14269}, {3534, 3545}, {3545, 15687}, {5054, 4}, {54047, 16261}
X(62027) = inverse of X(12105) in Stammler circle
X(62027) = anticomplement of X(62111)
X(62027) = pole of line {523, 12105} with respect to the Stammler circle
X(62027) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(58202)}}, {{A, B, C, X(5071), X(18550)}}, {{A, B, C, X(12108), X(60122)}}, {{A, B, C, X(12811), X(18848)}}, {{A, B, C, X(15319), X(49136)}}, {{A, B, C, X(15689), X(54512)}}, {{A, B, C, X(21400), X(49138)}}, {{A, B, C, X(35473), X(44731)}}
X(62027) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15695, 6825}, {2, 6926, 15722}, {4, 15692, 3860}, {4, 20, 12811}, {4, 30, 5054}, {20, 381, 15701}, {30, 10304, 1657}, {30, 12101, 15699}, {30, 14269, 3}, {30, 14893, 17504}, {30, 15687, 3545}, {30, 15689, 15685}, {30, 15699, 20}, {30, 17504, 11001}, {30, 3545, 3534}, {30, 381, 15689}, {30, 3839, 15688}, {30, 3845, 10304}, {30, 5054, 15681}, {140, 3861, 3857}, {140, 5079, 5070}, {140, 8703, 15692}, {381, 10109, 3851}, {381, 15716, 3090}, {381, 3524, 5055}, {381, 3534, 140}, {381, 3627, 3830}, {381, 382, 15682}, {382, 3830, 15684}, {546, 15683, 15693}, {632, 3628, 16864}, {1657, 3845, 15694}, {2043, 2044, 12108}, {3090, 15691, 15716}, {3146, 3830, 15703}, {3522, 13727, 631}, {3524, 3839, 14892}, {3529, 5066, 14093}, {3530, 15691, 8703}, {3534, 15687, 3843}, {3534, 3545, 15707}, {3543, 15682, 3627}, {3560, 10299, 3526}, {3627, 11541, 5076}, {3830, 15681, 4}, {3830, 15701, 12101}, {3830, 3843, 15687}, {3860, 15692, 5079}, {5054, 15696, 15710}, {5054, 15706, 15719}, {5055, 15689, 3524}, {5073, 17800, 11541}, {11001, 14893, 1656}, {14269, 15684, 30}, {14893, 15721, 381}, {15154, 15155, 12105}, {15682, 17578, 15691}, {15684, 15685, 5073}, {15687, 15707, 14269}, {42105, 43402, 42974}

X(62028) = X(2)X(3)∩X(6)X(42970)

X(62028) lies on these lines: {2, 3}, {6, 42970}, {13, 43770}, {14, 43769}, {17, 43204}, {18, 43203}, {61, 42105}, {62, 42104}, {69, 46848}, {74, 18296}, {146, 31815}, {265, 38626}, {316, 32822}, {371, 42575}, {372, 42574}, {395, 42805}, {396, 42806}, {515, 16189}, {542, 51029}, {575, 14927}, {576, 39874}, {590, 6488}, {615, 6489}, {944, 61285}, {962, 33697}, {1056, 12953}, {1058, 12943}, {1173, 31371}, {1285, 44518}, {1352, 48943}, {1587, 53518}, {1588, 53519}, {2979, 46849}, {3316, 42260}, {3317, 42261}, {3426, 14843}, {3567, 51996}, {3592, 23249}, {3594, 23259}, {3616, 28168}, {3617, 28178}, {3618, 29323}, {3619, 55631}, {3620, 55595}, {3623, 58236}, {3746, 5229}, {3818, 55597}, {4301, 50818}, {4701, 12245}, {5225, 5563}, {5237, 42113}, {5238, 42112}, {5334, 42165}, {5335, 42164}, {5339, 43401}, {5340, 43402}, {5343, 42155}, {5344, 42154}, {5349, 42778}, {5350, 42777}, {5351, 42103}, {5352, 42106}, {5365, 42148}, {5366, 42147}, {5368, 7737}, {5485, 14023}, {5493, 38074}, {5640, 14641}, {5691, 28234}, {5714, 51790}, {5731, 58232}, {5734, 28208}, {5818, 28150}, {5881, 50862}, {5921, 55724}, {5965, 48884}, {6033, 38628}, {6200, 43405}, {6225, 34786}, {6241, 16625}, {6321, 38627}, {6396, 43406}, {6419, 22644}, {6420, 22615}, {6425, 13886}, {6426, 13939}, {6453, 31412}, {6454, 42276}, {6455, 43374}, {6456, 43375}, {6484, 43337}, {6485, 43336}, {6519, 8972}, {6522, 13941}, {6560, 23275}, {6561, 23269}, {6564, 42413}, {6565, 42414}, {6761, 15005}, {6776, 53858}, {7581, 35821}, {7582, 35820}, {7583, 43507}, {7584, 43508}, {7728, 38632}, {7745, 14482}, {7748, 41940}, {7773, 32891}, {7967, 22793}, {7982, 28236}, {7991, 28232}, {7999, 46847}, {8884, 18847}, {9540, 10147}, {9541, 43879}, {9543, 45384}, {9589, 34627}, {9693, 13846}, {9781, 15012}, {9812, 10222}, {9862, 38734}, {10148, 13935}, {10165, 58225}, {10248, 18481}, {10283, 58235}, {10595, 28160}, {10721, 12317}, {10722, 44945}, {10738, 38631}, {10741, 38630}, {10742, 38629}, {11002, 13491}, {11412, 32062}, {11455, 45186}, {11477, 51163}, {12112, 36747}, {12244, 36253}, {12250, 18405}, {12290, 13598}, {12295, 15054}, {12383, 38791}, {12645, 58249}, {12699, 58240}, {12900, 15023}, {13172, 38745}, {13199, 38757}, {13202, 14094}, {13452, 32533}, {13474, 45187}, {14561, 55694}, {14654, 38801}, {14912, 22330}, {15020, 46686}, {15021, 15081}, {15025, 16111}, {15027, 34584}, {15069, 51022}, {15077, 16835}, {15605, 32340}, {15644, 16261}, {15860, 40065}, {16263, 18851}, {16808, 52079}, {16809, 52080}, {16960, 42119}, {16961, 42120}, {16982, 34783}, {17852, 43880}, {18358, 55602}, {18383, 54050}, {18483, 30389}, {18492, 28158}, {18553, 54170}, {18840, 54917}, {19106, 42160}, {19107, 42161}, {22234, 29012}, {22236, 42108}, {22238, 42109}, {22331, 53419}, {22332, 53418}, {23235, 39838}, {23253, 42263}, {23263, 42264}, {25406, 48895}, {28172, 58229}, {28194, 50866}, {28204, 50873}, {29317, 51537}, {31425, 38076}, {31447, 50799}, {31670, 48942}, {32819, 32890}, {34754, 43771}, {34755, 43772}, {34781, 61721}, {35007, 43618}, {35786, 42638}, {35787, 42637}, {36836, 42102}, {36843, 42101}, {37640, 42432}, {37641, 42431}, {38072, 51177}, {38664, 39809}, {38665, 52836}, {38672, 38956}, {39884, 55580}, {40330, 55614}, {40686, 50709}, {40693, 42516}, {40694, 42517}, {41100, 42908}, {41101, 42909}, {41121, 42515}, {41122, 42514}, {42096, 42166}, {42097, 42163}, {42115, 43365}, {42116, 43364}, {42136, 43465}, {42137, 43466}, {42266, 43509}, {42267, 43510}, {42494, 42980}, {42495, 42981}, {42510, 43202}, {42511, 43201}, {42528, 42593}, {42529, 42592}, {42629, 43488}, {42630, 43487}, {42813, 43542}, {42814, 43543}, {42900, 43308}, {42901, 43309}, {42940, 42999}, {42941, 42998}, {42988, 43540}, {42989, 43541}, {43193, 43404}, {43194, 43403}, {43197, 43647}, {43198, 43648}, {43226, 43240}, {43227, 43241}, {43242, 43474}, {43243, 43473}, {43479, 43554}, {43480, 43555}, {43521, 56618}, {43522, 56619}, {43619, 53096}, {43621, 52987}, {46264, 55708}, {48873, 55611}, {48889, 55617}, {50810, 50870}, {50974, 51026}, {51165, 51178}, {51491, 58795}

X(62028) = midpoint of X(i) and X(j) for these {i,j}: {3091, 3146}, {5073, 15696}
X(62028) = reflection of X(i) in X(j) for these {i,j}: {11001, 15692}, {12812, 12102}, {14093, 3845}, {15681, 15713}, {15683, 15695}, {15696, 3858}, {15697, 381}, {15711, 14893}, {17538, 3091}, {20, 1656}, {3091, 5076}, {3522, 3843}, {3529, 17538}, {3858, 3853}, {4, 17578}, {550, 3859}, {5076, 3627}, {631, 4}
X(62028) = anticomplement of X(15696)
X(62028) = pole of line {185, 61964} with respect to the Jerabek hyperbola
X(62028) = pole of line {69, 33923} with respect to the Wallace hyperbola
X(62028) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5), X(18847)}}, {{A, B, C, X(25), X(46848)}}, {{A, B, C, X(30), X(18296)}}, {{A, B, C, X(64), X(55574)}}, {{A, B, C, X(69), X(33923)}}, {{A, B, C, X(140), X(31371)}}, {{A, B, C, X(376), X(14843)}}, {{A, B, C, X(381), X(18851)}}, {{A, B, C, X(546), X(18853)}}, {{A, B, C, X(550), X(15077)}}, {{A, B, C, X(1173), X(3516)}}, {{A, B, C, X(1217), X(41099)}}, {{A, B, C, X(1657), X(32533)}}, {{A, B, C, X(3090), X(18846)}}, {{A, B, C, X(3091), X(18849)}}, {{A, B, C, X(3515), X(16835)}}, {{A, B, C, X(3517), X(22334)}}, {{A, B, C, X(3521), X(46219)}}, {{A, B, C, X(3545), X(18848)}}, {{A, B, C, X(3832), X(18852)}}, {{A, B, C, X(3839), X(18854)}}, {{A, B, C, X(3855), X(18850)}}, {{A, B, C, X(4846), X(15720)}}, {{A, B, C, X(5073), X(17505)}}, {{A, B, C, X(6995), X(54917)}}, {{A, B, C, X(12100), X(54667)}}, {{A, B, C, X(13452), X(32534)}}, {{A, B, C, X(13472), X(35477)}}, {{A, B, C, X(15692), X(31361)}}, {{A, B, C, X(15694), X(54660)}}, {{A, B, C, X(15697), X(54512)}}, {{A, B, C, X(15699), X(54763)}}, {{A, B, C, X(15708), X(60122)}}, {{A, B, C, X(15712), X(15740)}}, {{A, B, C, X(18363), X(52296)}}, {{A, B, C, X(21400), X(49139)}}, {{A, B, C, X(52518), X(55571)}}
X(62028) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17568, 16952}, {2, 3853, 4}, {3, 11541, 3529}, {3, 11737, 17542}, {3, 12811, 2}, {3, 3146, 11541}, {3, 546, 15022}, {4, 11001, 5}, {4, 20, 3545}, {4, 3525, 546}, {4, 3528, 381}, {4, 376, 3855}, {4, 382, 15682}, {4, 5067, 3839}, {4, 5071, 3843}, {20, 3545, 10299}, {20, 3854, 549}, {20, 5068, 15716}, {30, 12102, 12812}, {30, 14893, 15711}, {30, 15692, 11001}, {30, 15695, 15683}, {30, 15713, 15681}, {30, 3627, 5076}, {30, 381, 15697}, {30, 3845, 14093}, {30, 3853, 3858}, {30, 3858, 15696}, {30, 3859, 550}, {30, 5076, 3091}, {376, 3855, 3533}, {546, 12103, 16239}, {546, 15690, 3628}, {546, 3627, 3830}, {548, 14269, 5068}, {548, 5068, 15702}, {550, 3839, 5067}, {550, 3859, 15694}, {550, 5067, 15698}, {631, 15712, 15719}, {631, 3545, 1656}, {1657, 15687, 3832}, {1657, 15690, 20}, {2043, 2044, 15708}, {3091, 12812, 3544}, {3091, 15697, 10303}, {3091, 17538, 631}, {3091, 3146, 30}, {3091, 3522, 632}, {3146, 3543, 3627}, {3522, 3843, 5071}, {3525, 3545, 3090}, {3529, 15682, 3146}, {3530, 3851, 17564}, {3534, 3861, 5056}, {3545, 15688, 15709}, {3627, 15704, 3853}, {3627, 5076, 17578}, {3830, 15684, 15688}, {3832, 15640, 1657}, {3845, 17800, 3523}, {3850, 15681, 15717}, {3851, 6891, 3526}, {5059, 10303, 12103}, {6857, 7486, 5070}, {6906, 11541, 15686}, {10303, 12103, 3528}, {10303, 16239, 3525}, {11001, 15709, 376}, {12103, 15697, 17538}, {12811, 15704, 3}, {13735, 15022, 17568}, {14782, 14783, 10109}, {15022, 17535, 7486}, {15640, 15687, 3524}, {15696, 15714, 3522}, {35820, 52666, 7582}, {35821, 52667, 7581}, {42283, 43407, 13939}, {42284, 43408, 13886}, {42970, 42971, 6}

X(62029) = X(1)X(50874)∩X(2)X(3)

X(62029) lies on these lines: {1, 50874}, {2, 3}, {6, 51164}, {8, 50867}, {53, 36427}, {69, 48943}, {193, 51213}, {515, 16191}, {1131, 52047}, {1132, 52048}, {1327, 42570}, {1328, 42571}, {1587, 43521}, {1588, 43522}, {1698, 50813}, {3316, 42568}, {3317, 42569}, {3586, 4114}, {3618, 51177}, {3625, 34627}, {3630, 11180}, {3633, 34631}, {3763, 50969}, {4668, 31673}, {4691, 6361}, {4764, 51065}, {5318, 43482}, {5321, 43481}, {5334, 43401}, {5335, 43402}, {5339, 49875}, {5340, 49876}, {5349, 43502}, {5350, 43501}, {5365, 49948}, {5366, 49947}, {5485, 60325}, {5550, 50807}, {6144, 51024}, {6425, 60303}, {6426, 60304}, {6484, 43568}, {6485, 43569}, {7935, 60183}, {8252, 43787}, {8253, 43788}, {8596, 38744}, {9812, 28208}, {10155, 54646}, {10248, 51709}, {10653, 43031}, {10654, 43030}, {11178, 50966}, {11645, 51538}, {12243, 39809}, {12290, 21969}, {12699, 50818}, {12816, 42150}, {12817, 42151}, {14226, 23263}, {14241, 23253}, {16267, 42119}, {16268, 42120}, {16772, 42587}, {16773, 42586}, {16962, 43645}, {16963, 43646}, {16964, 43491}, {16965, 43492}, {18440, 51179}, {18492, 34638}, {18525, 50863}, {18581, 43400}, {18582, 43399}, {18844, 60127}, {19053, 22615}, {19054, 22644}, {19862, 50820}, {20053, 33697}, {21356, 29317}, {23251, 42572}, {23261, 42573}, {23267, 53518}, {23269, 42271}, {23273, 53519}, {23275, 42272}, {25055, 28172}, {28146, 53620}, {28164, 61275}, {28182, 54448}, {28194, 37712}, {28198, 59388}, {28202, 59387}, {31145, 48661}, {31253, 51083}, {31412, 42537}, {31670, 50974}, {32001, 36889}, {32455, 39874}, {32819, 32877}, {32822, 32875}, {32823, 32876}, {32888, 37671}, {33604, 42511}, {33605, 42510}, {35242, 50803}, {36969, 42140}, {36970, 42141}, {37640, 42105}, {37641, 42104}, {37832, 42929}, {37835, 42928}, {38074, 38127}, {39563, 43618}, {39884, 54174}, {41112, 42432}, {41113, 42431}, {41971, 43033}, {41972, 43032}, {42085, 42895}, {42086, 42894}, {42093, 43543}, {42094, 43542}, {42096, 42693}, {42097, 42692}, {42135, 43478}, {42138, 43477}, {42139, 43555}, {42142, 43554}, {42147, 49825}, {42148, 49824}, {42157, 49813}, {42158, 49812}, {42159, 42801}, {42162, 42802}, {42225, 43507}, {42226, 43508}, {42263, 53517}, {42264, 53520}, {42413, 43536}, {42414, 54597}, {42508, 42899}, {42509, 42898}, {42538, 42561}, {42557, 43406}, {42558, 43405}, {42589, 61719}, {42625, 43464}, {42626, 43463}, {42635, 43245}, {42636, 43244}, {42813, 49862}, {42814, 49861}, {42986, 43540}, {42987, 43541}, {43430, 60620}, {43431, 60621}, {43444, 54574}, {43445, 54575}, {43621, 54170}, {43837, 51996}, {44456, 51211}, {46933, 50800}, {48880, 50956}, {48884, 51023}, {48905, 51135}, {48942, 51212}, {50960, 55646}, {50967, 51167}, {50976, 51126}, {51118, 61296}, {51163, 54132}, {53103, 54493}, {53106, 60185}, {53107, 54523}, {54612, 60209}, {54616, 54890}, {54637, 54857}, {54707, 60146}, {54852, 60636}, {60143, 60326}, {60284, 60329}, {60322, 60630}, {60323, 60631}

X(62029) = midpoint of X(i) and X(j) for these {i,j}: {3146, 3839}, {5073, 15688}
X(62029) = reflection of X(i) in X(j) for these {i,j}: {10304, 14269}, {11001, 3524}, {11539, 12101}, {15681, 11539}, {15683, 15688}, {15686, 14892}, {15688, 3845}, {20, 5055}, {376, 3839}, {3524, 4}, {3839, 3830}, {5055, 15687}
X(62029) = inverse of X(61973) in orthocentroidal circle
X(62029) = inverse of X(61973) in Yff hyperbola
X(62029) = complement of X(58204)
X(62029) = anticomplement of X(15689)
X(62029) = pole of line {523, 61973} with respect to the orthocentroidal circle
X(62029) = pole of line {6, 61973} with respect to the Kiepert hyperbola
X(62029) = pole of line {523, 61973} with respect to the Yff hyperbola
X(62029) = pole of line {69, 14093} with respect to the Wallace hyperbola
X(62029) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(14093)}}, {{A, B, C, X(1494), X(46333)}}, {{A, B, C, X(3521), X(55866)}}, {{A, B, C, X(3544), X(18848)}}, {{A, B, C, X(3627), X(36889)}}, {{A, B, C, X(4232), X(60325)}}, {{A, B, C, X(4846), X(15701)}}, {{A, B, C, X(5067), X(18846)}}, {{A, B, C, X(5071), X(18847)}}, {{A, B, C, X(14843), X(58195)}}, {{A, B, C, X(15318), X(58208)}}, {{A, B, C, X(15692), X(54667)}}, {{A, B, C, X(18850), X(41106)}}, {{A, B, C, X(21400), X(58207)}}, {{A, B, C, X(46936), X(54763)}}, {{A, B, C, X(52297), X(60185)}}, {{A, B, C, X(52298), X(54523)}}, {{A, B, C, X(52301), X(60326)}}, {{A, B, C, X(54660), X(55864)}}, {{A, B, C, X(57822), X(61138)}}
X(62029) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 14891, 631}, {2, 20, 14093}, {2, 3543, 3627}, {4, 11001, 5071}, {4, 11541, 3528}, {4, 20, 3544}, {4, 3529, 5067}, {20, 5055, 15710}, {30, 11539, 15681}, {30, 12101, 11539}, {30, 14269, 10304}, {30, 14892, 15686}, {30, 15687, 5055}, {30, 15688, 15683}, {30, 3524, 11001}, {30, 3830, 3839}, {30, 3845, 15688}, {30, 5055, 20}, {376, 15682, 3146}, {376, 3545, 5054}, {381, 11812, 15022}, {382, 3543, 15682}, {546, 15685, 15692}, {546, 15688, 11112}, {547, 15697, 10299}, {547, 17800, 15697}, {548, 15684, 15640}, {548, 3850, 632}, {1657, 3830, 14893}, {1657, 3843, 12108}, {1657, 5054, 15689}, {3090, 3534, 15715}, {3090, 3853, 4}, {3091, 15681, 15698}, {3146, 12102, 3529}, {3146, 17578, 3523}, {3146, 3525, 11541}, {3146, 3543, 3830}, {3146, 3839, 30}, {3523, 17578, 12102}, {3523, 5067, 3525}, {3524, 5067, 15709}, {3543, 15640, 17578}, {3627, 15712, 3853}, {3830, 15684, 1657}, {3830, 5073, 15703}, {3839, 15705, 5}, {3843, 15706, 14892}, {3845, 14891, 5072}, {3845, 15703, 3854}, {3851, 15690, 15721}, {5055, 15710, 15702}, {5059, 5076, 3855}, {5068, 15717, 16408}, {10304, 14269, 3545}, {11737, 15695, 10303}, {12100, 14893, 3850}, {12101, 15681, 3091}, {12102, 15640, 376}, {14892, 15686, 15706}, {14892, 15706, 2}, {15640, 17578, 381}, {15702, 15710, 3524}, {23253, 41945, 14241}, {34648, 50814, 61256}, {41869, 50862, 34627}, {42119, 43201, 16267}, {42120, 43202, 16268}, {48910, 51022, 11180}

X(62030) = X(2)X(3)∩X(13)X(43473)

X(62030) lies on these lines: {2, 3}, {13, 43473}, {14, 43474}, {316, 32896}, {511, 51216}, {515, 50873}, {516, 50866}, {517, 50863}, {1327, 13721}, {1328, 13844}, {1503, 51029}, {3564, 51211}, {3621, 33697}, {3623, 28208}, {4669, 20070}, {4677, 28228}, {4745, 50870}, {5318, 42516}, {5321, 42517}, {5334, 42800}, {5335, 42799}, {5921, 48942}, {5965, 51028}, {6200, 54542}, {6396, 54543}, {7585, 42417}, {7586, 42418}, {7802, 32893}, {8584, 51026}, {8596, 10722}, {8972, 41961}, {9541, 43503}, {9812, 50869}, {10248, 34628}, {11055, 44434}, {11160, 48910}, {11180, 48904}, {11488, 43421}, {11489, 43420}, {11645, 51170}, {12816, 49860}, {12817, 49859}, {13846, 42537}, {13847, 42538}, {13886, 60307}, {13939, 60308}, {13941, 41962}, {14458, 60635}, {14537, 14930}, {15533, 51022}, {15534, 51163}, {16960, 46335}, {16961, 46334}, {17503, 54921}, {18845, 54734}, {19053, 53519}, {19054, 53518}, {19106, 49826}, {19107, 49827}, {20080, 48884}, {22165, 61044}, {22235, 43201}, {22237, 43202}, {28164, 51105}, {28182, 50809}, {28232, 50867}, {28234, 50864}, {28236, 50865}, {29181, 50990}, {31145, 41869}, {32787, 42577}, {32788, 42576}, {33622, 52838}, {33624, 52839}, {33750, 50964}, {34648, 51068}, {35750, 36961}, {35820, 43520}, {35821, 43519}, {36331, 36962}, {36969, 42520}, {36970, 42521}, {36990, 50992}, {37640, 42509}, {37641, 42508}, {38136, 51177}, {38140, 50813}, {38259, 54851}, {41100, 42104}, {41101, 42105}, {41121, 43331}, {41122, 43330}, {42085, 42532}, {42086, 42533}, {42087, 54581}, {42088, 54580}, {42093, 49861}, {42094, 49862}, {42096, 42515}, {42097, 42514}, {42099, 43475}, {42100, 43476}, {42108, 49947}, {42109, 49948}, {42112, 43399}, {42113, 43400}, {42119, 42777}, {42120, 42778}, {42133, 42510}, {42134, 42511}, {42139, 42792}, {42140, 42683}, {42141, 42682}, {42142, 42791}, {42157, 49811}, {42158, 49810}, {42215, 43521}, {42216, 43522}, {42268, 42524}, {42269, 42525}, {42275, 42608}, {42276, 42609}, {42502, 43332}, {42503, 43333}, {42539, 43317}, {42540, 43316}, {42588, 43401}, {42589, 43402}, {42727, 42730}, {42728, 42729}, {42910, 42931}, {42911, 42930}, {42940, 43465}, {42941, 43466}, {42962, 43493}, {42963, 43494}, {43242, 43417}, {43243, 43416}, {43324, 49908}, {43325, 49907}, {43328, 43501}, {43329, 43502}, {43403, 43552}, {43404, 43553}, {43407, 43561}, {43408, 43560}, {43540, 49813}, {43541, 49812}, {43548, 54579}, {43549, 54578}, {43562, 60311}, {43563, 60312}, {43951, 60283}, {47353, 51217}, {48872, 51143}, {50993, 51537}, {51093, 51118}, {51133, 55654}, {51213, 54132}, {52835, 60971}, {53101, 54522}, {54476, 54645}, {54519, 60628}, {54520, 60648}, {54644, 60113}, {54815, 60277}, {54934, 60625}, {60147, 60216}, {60327, 60641}

X(62030) = midpoint of X(i) and X(j) for these {i,j}: {5073, 14093}, {5076, 15684}, {15640, 15697}
X(62030) = reflection of X(i) in X(j) for these {i,j}: {1656, 15687}, {1657, 15714}, {11001, 15693}, {15681, 632}, {15683, 3522}, {15692, 4}, {15695, 3845}, {15713, 12101}, {17538, 381}, {17578, 3543}, {20, 5071}, {376, 3843}, {5071, 5076}
X(62030) = anticomplement of X(15697)
X(62030) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1657), X(54552)}}, {{A, B, C, X(3534), X(35510)}}, {{A, B, C, X(5070), X(18846)}}, {{A, B, C, X(11331), X(60635)}}, {{A, B, C, X(15688), X(16251)}}, {{A, B, C, X(17538), X(54512)}}, {{A, B, C, X(18850), X(38071)}}, {{A, B, C, X(38282), X(54851)}}, {{A, B, C, X(43699), X(58205)}}, {{A, B, C, X(52292), X(54921)}}, {{A, B, C, X(52299), X(54734)}}, {{A, B, C, X(54667), X(61138)}}
X(62030) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15682, 3146}, {4, 15696, 3091}, {4, 15710, 381}, {4, 15719, 3860}, {4, 30, 15692}, {4, 3529, 5070}, {4, 547, 3839}, {20, 3091, 15712}, {30, 12101, 15713}, {30, 15687, 1656}, {30, 15693, 11001}, {30, 15714, 1657}, {30, 3522, 15683}, {30, 3543, 17578}, {30, 381, 17538}, {30, 3843, 376}, {30, 3845, 15695}, {30, 5071, 20}, {30, 632, 15681}, {1656, 14892, 5071}, {3146, 3627, 15022}, {3522, 15022, 631}, {3543, 15640, 3830}, {3543, 3839, 3627}, {3628, 12101, 3845}, {3830, 8703, 4}, {3832, 15683, 15705}, {3832, 6675, 5072}, {3853, 6985, 3858}, {3860, 15681, 15719}, {5054, 8703, 15698}, {6966, 16434, 5059}, {10109, 15708, 2}, {11001, 15693, 15697}, {11812, 12103, 8703}, {12101, 15713, 3843}, {12811, 14890, 547}, {15640, 15697, 30}, {15684, 15698, 15640}, {15685, 15718, 3534}, {15717, 17538, 3522}

X(62031) = X(2)X(3)∩X(1327)X(6437)

X(62031) lies on circumconic {{A, B, C, X(12103), X(54512)}} and on these lines: {2, 3}, {397, 42419}, {398, 42420}, {511, 51025}, {515, 51119}, {517, 50868}, {519, 58244}, {524, 48943}, {952, 51120}, {1327, 6437}, {1328, 6438}, {1503, 51165}, {3564, 51166}, {3625, 33697}, {3630, 48884}, {3654, 50866}, {4677, 28212}, {4745, 28146}, {5318, 42532}, {5321, 42533}, {5349, 43635}, {5350, 43634}, {5844, 50871}, {6221, 42537}, {6398, 42538}, {6429, 42608}, {6430, 42609}, {6480, 43210}, {6481, 43209}, {6486, 42606}, {6487, 42607}, {6564, 43887}, {6565, 43888}, {8981, 10139}, {9690, 43536}, {10140, 13966}, {10653, 42888}, {10654, 42889}, {11480, 43246}, {11481, 43247}, {11485, 43207}, {11486, 43208}, {11542, 46335}, {11543, 46334}, {11645, 32455}, {11694, 38792}, {12816, 42502}, {12817, 42503}, {14929, 32892}, {16267, 42890}, {16268, 42891}, {20582, 55636}, {22165, 55587}, {28150, 50870}, {28160, 50869}, {28164, 58234}, {28172, 31662}, {28174, 50862}, {28178, 38155}, {28182, 50796}, {28186, 51071}, {28202, 61510}, {28224, 50865}, {29012, 51026}, {29317, 50991}, {33606, 43646}, {33607, 43645}, {34380, 51027}, {34638, 61259}, {34754, 42506}, {34755, 42507}, {36967, 43197}, {36968, 43198}, {40273, 51103}, {41100, 42109}, {41101, 42108}, {41107, 43402}, {41108, 43401}, {41112, 42509}, {41113, 42508}, {41119, 42096}, {41120, 42097}, {41121, 42122}, {41122, 42123}, {41869, 58248}, {41945, 43434}, {41946, 43435}, {42104, 49948}, {42105, 49947}, {42126, 49826}, {42127, 49827}, {42130, 49862}, {42131, 49861}, {42135, 43326}, {42136, 43229}, {42137, 43228}, {42138, 43327}, {42143, 42928}, {42144, 42511}, {42145, 42510}, {42146, 42929}, {42225, 42577}, {42226, 42576}, {42260, 43562}, {42261, 43563}, {42417, 53518}, {42418, 53519}, {42429, 42505}, {42430, 42504}, {42435, 42973}, {42436, 42972}, {42496, 43428}, {42497, 43429}, {42584, 42792}, {42585, 42791}, {42627, 42952}, {42628, 42953}, {42631, 43200}, {42632, 43199}, {42643, 53517}, {42644, 53520}, {42727, 43626}, {42728, 43627}, {42906, 49859}, {42907, 49860}, {43399, 49907}, {43400, 49908}, {43415, 54597}, {43501, 43639}, {43502, 43640}, {43566, 45384}, {43567, 45385}, {43632, 49903}, {43633, 49904}, {47354, 55603}, {48874, 50993}, {48889, 51143}, {50803, 61614}, {50815, 61269}, {50867, 51072}, {50874, 51105}, {50971, 55680}, {50990, 51217}, {51067, 61255}, {51084, 61267}, {51118, 61597}, {51163, 61624}, {51164, 51185}, {51167, 54173}, {51186, 55618}, {60286, 60326}

X(62031) = midpoint of X(i) and X(j) for these {i,j}: {549, 5073}, {3146, 15687}, {3627, 15684}, {8703, 15640}
X(62031) = reflection of X(i) in X(j) for these {i,j}: {140, 15687}, {1657, 14891}, {11001, 11812}, {12100, 12101}, {12103, 381}, {14893, 3627}, {15681, 3628}, {15686, 3850}, {15690, 3845}, {15691, 546}, {15704, 10124}, {20, 11737}, {376, 3861}, {3534, 3860}, {3853, 3543}, {34638, 61259}, {547, 3853}, {548, 14893}, {549, 12102}, {5066, 3830}
X(62031) = complement of X(62157)
X(62031) = anticomplement of X(62118)
X(62031) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15682, 15684}, {2, 15718, 15713}, {2, 3845, 3850}, {2, 548, 12100}, {4, 15705, 381}, {5, 14093, 14890}, {30, 10124, 15704}, {30, 11737, 20}, {30, 11812, 11001}, {30, 12102, 549}, {30, 14891, 1657}, {30, 15687, 140}, {30, 3543, 3853}, {30, 3627, 14893}, {30, 3628, 15681}, {30, 381, 12103}, {30, 3830, 5066}, {30, 3850, 15686}, {30, 3861, 376}, {30, 546, 15691}, {140, 12103, 3528}, {140, 3545, 547}, {547, 3850, 14892}, {3146, 15687, 30}, {3146, 3543, 3545}, {3534, 15687, 3860}, {3543, 11001, 3830}, {3543, 15708, 17578}, {3545, 15702, 7486}, {3627, 17538, 12102}, {3830, 11001, 3845}, {3830, 15640, 8703}, {3830, 15693, 4}, {3830, 5066, 12101}, {3843, 15689, 15703}, {3845, 5059, 15759}, {10109, 12108, 2}, {10124, 14269, 3859}, {11001, 11812, 15690}, {11001, 15719, 15697}, {11539, 15693, 11812}, {12100, 12101, 546}, {12103, 15712, 548}, {12108, 14890, 15721}, {14269, 15704, 10124}, {15685, 15707, 3534}, {15698, 15721, 15693}, {15759, 16239, 15719}

X(62032) = X(1)X(50869)∩X(2)X(3)

X(62032) lies on these lines: {1, 50869}, {2, 3}, {6, 51026}, {8, 50862}, {10, 50870}, {69, 51022}, {145, 50865}, {193, 51024}, {395, 43202}, {396, 43201}, {397, 42589}, {398, 42588}, {551, 10248}, {962, 20049}, {1131, 41945}, {1132, 41946}, {1278, 51065}, {1327, 35815}, {1328, 35814}, {1992, 51163}, {3068, 43383}, {3069, 43382}, {3241, 51118}, {3244, 51119}, {3424, 60625}, {3617, 34648}, {3620, 51167}, {3621, 41869}, {3622, 34628}, {3623, 31162}, {3629, 51165}, {3632, 50868}, {4301, 51092}, {4678, 31673}, {4740, 52852}, {4788, 51064}, {5032, 51538}, {5343, 41100}, {5344, 41101}, {5349, 42514}, {5350, 42515}, {5493, 51068}, {5550, 50815}, {5691, 31145}, {5921, 48904}, {6000, 16981}, {6392, 19569}, {6490, 42284}, {6491, 42283}, {6492, 43512}, {6493, 43511}, {6564, 43337}, {6565, 43336}, {7585, 53518}, {7586, 53519}, {7773, 32881}, {7802, 32872}, {7850, 32836}, {7928, 54815}, {8591, 39838}, {8596, 10723}, {9143, 13202}, {9540, 43568}, {9543, 13846}, {9680, 43562}, {9780, 34638}, {9955, 50819}, {10302, 60327}, {10722, 35369}, {11008, 51166}, {11057, 32834}, {11160, 36990}, {11177, 39809}, {11180, 48884}, {12279, 21849}, {12699, 51087}, {13445, 48912}, {13847, 42414}, {13935, 43569}, {14484, 60650}, {16241, 43292}, {16242, 43293}, {16267, 42134}, {16268, 42133}, {16644, 43364}, {16645, 43365}, {16964, 49826}, {16965, 49827}, {18357, 50809}, {18358, 50966}, {18440, 50985}, {18525, 50830}, {18845, 54521}, {19053, 42272}, {19054, 42271}, {19130, 50975}, {19875, 28158}, {19877, 50803}, {20014, 50872}, {20050, 51120}, {20052, 33697}, {20054, 50871}, {20080, 48910}, {22236, 43556}, {22238, 43557}, {23249, 43342}, {23253, 43430}, {23259, 43343}, {23263, 43431}, {28146, 38074}, {28150, 54448}, {28164, 38314}, {28172, 38021}, {28182, 38066}, {28202, 59417}, {31412, 43210}, {31670, 51140}, {32819, 32880}, {32826, 32869}, {32894, 37671}, {33602, 42988}, {33603, 42989}, {33606, 42159}, {33607, 42162}, {34595, 51076}, {34786, 54211}, {35812, 43794}, {35813, 43793}, {36969, 43014}, {36970, 43015}, {37640, 42108}, {37641, 42109}, {38259, 54866}, {40341, 51025}, {41119, 43632}, {41120, 43633}, {41895, 60336}, {41943, 42695}, {41944, 42694}, {42099, 43483}, {42100, 43484}, {42103, 42429}, {42104, 42972}, {42105, 42973}, {42106, 42430}, {42119, 43473}, {42120, 43474}, {42129, 42933}, {42130, 43542}, {42131, 43543}, {42132, 42932}, {42140, 42941}, {42141, 42940}, {42150, 49874}, {42151, 49873}, {42160, 42935}, {42161, 42934}, {42258, 42537}, {42259, 42538}, {42263, 42540}, {42264, 42539}, {42266, 43503}, {42267, 43504}, {42431, 49875}, {42432, 49876}, {42506, 42909}, {42507, 42908}, {42510, 43017}, {42511, 43016}, {42516, 43105}, {42517, 43106}, {42561, 43209}, {42631, 42920}, {42632, 42921}, {42690, 42913}, {42691, 42912}, {42791, 43479}, {42792, 43480}, {42918, 43398}, {42919, 43397}, {42942, 43552}, {42943, 43553}, {42964, 42999}, {42965, 42998}, {42982, 43482}, {42983, 43481}, {43100, 43870}, {43107, 43869}, {43150, 43621}, {43193, 49861}, {43194, 49862}, {43300, 43419}, {43301, 43418}, {43340, 52047}, {43341, 52048}, {43401, 43465}, {43402, 43466}, {43769, 49948}, {43770, 49947}, {43883, 60291}, {43884, 60292}, {43951, 54639}, {44456, 51182}, {46933, 50808}, {46934, 50802}, {47353, 61044}, {47586, 60632}, {48879, 50969}, {48892, 50964}, {48942, 54174}, {48943, 51028}, {50982, 51217}, {51029, 51170}, {51129, 55676}, {51138, 51164}, {52835, 60984}, {53101, 60331}, {54476, 60333}, {54519, 60639}, {54542, 60293}, {54543, 60294}, {54706, 60239}, {60102, 60113}, {60147, 60200}, {60228, 60324}, {60282, 60328}

X(62032) = midpoint of X(i) and X(j) for these {i,j}: {5054, 5073}, {10304, 15640}
X(62032) = reflection of X(i) in X(j) for these {i,j}: {10304, 4}, {1657, 17504}, {11001, 5054}, {14269, 3627}, {15681, 15699}, {15683, 10304}, {15689, 3845}, {15699, 3853}, {17504, 12101}, {20, 3545}, {376, 14269}, {3529, 15689}, {3545, 3830}, {5032, 51538}, {5054, 15687}
X(62032) = inverse of X(61972) in orthocentroidal circle
X(62032) = inverse of X(61972) in Yff hyperbola
X(62032) = anticomplement of X(62120)
X(62032) = pole of line {523, 61972} with respect to the orthocentroidal circle
X(62032) = pole of line {6, 61972} with respect to the Kiepert hyperbola
X(62032) = pole of line {523, 61972} with respect to the Yff hyperbola
X(62032) = pole of line {69, 62081} with respect to the Wallace hyperbola
X(62032) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3346), X(49137)}}, {{A, B, C, X(3526), X(18846)}}, {{A, B, C, X(3529), X(54552)}}, {{A, B, C, X(3535), X(60295)}}, {{A, B, C, X(3536), X(60296)}}, {{A, B, C, X(3855), X(54923)}}, {{A, B, C, X(4846), X(11812)}}, {{A, B, C, X(5066), X(18850)}}, {{A, B, C, X(8703), X(16251)}}, {{A, B, C, X(10301), X(60327)}}, {{A, B, C, X(13623), X(15700)}}, {{A, B, C, X(15022), X(18848)}}, {{A, B, C, X(15683), X(52443)}}, {{A, B, C, X(15715), X(54667)}}, {{A, B, C, X(17578), X(36889)}}, {{A, B, C, X(18317), X(58202)}}, {{A, B, C, X(31621), X(44335)}}, {{A, B, C, X(38282), X(54866)}}, {{A, B, C, X(44346), X(46270)}}, {{A, B, C, X(52283), X(60625)}}, {{A, B, C, X(52290), X(60336)}}, {{A, B, C, X(52299), X(54521)}}
X(62032) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15715, 17533}, {2, 3530, 17556}, {2, 3543, 17578}, {4, 10303, 3832}, {4, 15682, 15684}, {4, 20, 15022}, {4, 3529, 3526}, {4, 5055, 3839}, {20, 3091, 10299}, {20, 3525, 3522}, {20, 3543, 3830}, {20, 3545, 15705}, {30, 10304, 15683}, {30, 12101, 17504}, {30, 14269, 376}, {30, 15689, 3529}, {30, 15699, 15681}, {30, 17504, 1657}, {30, 3545, 20}, {30, 3627, 14269}, {30, 3830, 3545}, {30, 3845, 15689}, {30, 3853, 15699}, {30, 5054, 11001}, {376, 3544, 15701}, {376, 5066, 10303}, {381, 15698, 7486}, {381, 15722, 12812}, {382, 15682, 3543}, {549, 15704, 15690}, {1656, 3530, 3525}, {1657, 12101, 5071}, {3091, 10299, 13735}, {3146, 15683, 15640}, {3146, 17578, 5059}, {3146, 3543, 2}, {3525, 15698, 549}, {3529, 3845, 15692}, {3534, 15709, 10304}, {3543, 15640, 4}, {3545, 15690, 15708}, {3627, 15711, 15687}, {3839, 10304, 5055}, {3845, 12812, 381}, {3845, 15692, 5068}, {3850, 6864, 3851}, {3851, 15691, 15719}, {3851, 6923, 1656}, {3853, 11541, 3523}, {3860, 14093, 5067}, {5055, 15706, 11539}, {5072, 15681, 15759}, {6863, 15681, 15696}, {10303, 10304, 15706}, {10304, 15640, 30}, {10304, 15708, 15698}, {10304, 15709, 15717}, {11001, 15687, 3091}, {11180, 48884, 51216}, {13735, 15705, 5054}, {14269, 15706, 5066}, {14893, 15685, 631}, {15640, 15684, 3146}, {15683, 15717, 3534}, {33697, 34627, 50863}, {34632, 50867, 31673}

X(62033) = X(2)X(3)∩X(17)X(42587)

X(62033) lies on these lines: {2, 3}, {17, 42587}, {18, 42586}, {3070, 43322}, {3071, 43323}, {3655, 50869}, {3818, 51167}, {5102, 11645}, {5237, 42953}, {5238, 42952}, {5351, 43476}, {5352, 43475}, {6199, 53518}, {6361, 50797}, {6395, 53519}, {6407, 43210}, {6408, 43209}, {6480, 45384}, {6481, 45385}, {8148, 51120}, {8976, 43503}, {9691, 42413}, {11178, 55607}, {11179, 51026}, {11278, 34748}, {11480, 43372}, {11481, 43373}, {11485, 43245}, {11486, 43244}, {11693, 38792}, {11916, 13690}, {11917, 13811}, {12816, 43194}, {12817, 43193}, {12818, 43526}, {12819, 43525}, {13951, 43504}, {16200, 28208}, {16644, 42997}, {16645, 42996}, {16962, 42096}, {16963, 42097}, {18440, 51025}, {18480, 50866}, {18525, 50868}, {19116, 43522}, {19117, 43521}, {21358, 55627}, {21850, 51029}, {22791, 50873}, {23253, 42537}, {23263, 42538}, {25561, 55633}, {28168, 30392}, {28172, 58230}, {28182, 53620}, {28194, 51515}, {29323, 55703}, {31162, 32900}, {31662, 38021}, {31670, 51165}, {33697, 50798}, {34718, 50862}, {34754, 42973}, {34755, 42972}, {36969, 43232}, {36970, 43233}, {37517, 48943}, {37705, 50863}, {38072, 55695}, {39874, 51172}, {41869, 50871}, {42090, 42957}, {42091, 42956}, {42099, 43199}, {42100, 43200}, {42103, 43100}, {42106, 43107}, {42108, 42974}, {42109, 42975}, {42126, 43401}, {42127, 43402}, {42526, 43562}, {42527, 43563}, {42528, 43295}, {42529, 43294}, {42629, 42688}, {42630, 42689}, {42799, 43308}, {42800, 43309}, {42906, 42913}, {42907, 42912}, {43306, 43482}, {43307, 43481}, {43621, 51022}, {44456, 51166}, {47353, 48942}, {47354, 55604}, {48662, 48904}, {48884, 50955}, {48889, 55622}, {48895, 55699}, {48905, 50963}, {48910, 51027}, {50806, 50874}, {50954, 51217}, {51186, 55620}

X(62033) = midpoint of X(i) and X(j) for these {i,j}: {3524, 15640}, {5055, 5073}
X(62033) = reflection of X(i) in X(j) for these {i,j}: {1657, 3524}, {11001, 11539}, {11539, 3853}, {15681, 5055}, {15685, 15688}, {15688, 4}, {15689, 14269}, {3524, 15687}, {3534, 3839}, {3839, 3627}, {5055, 3830}
X(62033) = inverse of X(37953) in Stammler circle
X(62033) = pole of line {523, 37953} with respect to the Stammler circle
X(62033) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(46333)}}, {{A, B, C, X(12812), X(18848)}}, {{A, B, C, X(21400), X(50692)}}
X(62033) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 11539, 15707}, {3, 14269, 3545}, {3, 15685, 15686}, {3, 15700, 6908}, {3, 15703, 11812}, {3, 3543, 3830}, {3, 3850, 5070}, {4, 15685, 15694}, {4, 15697, 11737}, {4, 20, 12812}, {30, 11539, 11001}, {30, 15687, 3524}, {30, 15688, 15685}, {30, 3627, 3839}, {30, 3839, 3534}, {30, 3853, 11539}, {381, 15714, 15703}, {381, 3534, 631}, {382, 15682, 15684}, {631, 10304, 17504}, {1657, 15723, 15690}, {3146, 17800, 5073}, {3524, 15640, 30}, {3529, 14893, 15693}, {3534, 3851, 15718}, {3543, 11001, 3853}, {3545, 15708, 15699}, {3627, 15022, 5076}, {3830, 15681, 3843}, {3830, 15689, 14269}, {3830, 15694, 4}, {3830, 17800, 381}, {3832, 15690, 15723}, {3843, 15681, 15701}, {3845, 15686, 16239}, {3851, 5070, 15022}, {10303, 16861, 3525}, {10304, 15689, 15695}, {11539, 12100, 15708}, {12101, 15683, 1656}, {14269, 15689, 5055}, {14269, 17504, 3851}, {14892, 15710, 3526}, {15640, 15687, 1657}, {15685, 15699, 15689}, {15686, 15708, 15688}, {15687, 15690, 3832}, {15688, 15708, 3}, {15689, 15707, 10304}, {15695, 17800, 15681}, {15699, 17504, 14890}

X(62034) = X(2)X(3)∩X(61)X(42108)

X(62034) lies on these lines: {2, 3}, {61, 42108}, {62, 42109}, {141, 55611}, {395, 43635}, {396, 43634}, {397, 42934}, {398, 42935}, {515, 58240}, {576, 51163}, {1151, 43337}, {1152, 43336}, {1199, 52100}, {1503, 48943}, {2777, 38626}, {2794, 38627}, {2829, 38631}, {3564, 48904}, {3592, 22644}, {3594, 22615}, {3818, 55600}, {4301, 51087}, {5237, 42101}, {5238, 42102}, {5343, 42634}, {5344, 42633}, {5349, 42913}, {5350, 42912}, {5351, 42143}, {5352, 42146}, {5480, 55708}, {5493, 61255}, {5609, 13202}, {5690, 61254}, {5691, 28212}, {5840, 38629}, {5844, 41869}, {5881, 50830}, {5893, 50414}, {5901, 28168}, {6000, 14449}, {6101, 32062}, {6146, 34563}, {6419, 42271}, {6420, 42272}, {6425, 42275}, {6426, 42276}, {6447, 43408}, {6448, 43407}, {6451, 43405}, {6452, 43406}, {6453, 13925}, {6454, 13993}, {6488, 42260}, {6489, 42261}, {6519, 31412}, {6522, 42561}, {7583, 53518}, {7584, 53519}, {7747, 41940}, {7850, 32819}, {7982, 28224}, {7991, 28216}, {8981, 43339}, {9692, 43566}, {10095, 14641}, {10222, 28186}, {10541, 38136}, {10575, 16881}, {10627, 40247}, {10722, 14692}, {11482, 51538}, {12007, 22330}, {12295, 51522}, {12512, 61262}, {12699, 16189}, {12897, 61299}, {12943, 15172}, {13391, 13474}, {13451, 40647}, {13464, 50869}, {13598, 16982}, {13607, 28160}, {13966, 17852}, {14677, 15027}, {14915, 16625}, {14927, 53092}, {14929, 32826}, {15029, 38723}, {15044, 20127}, {15069, 50985}, {15178, 28164}, {15860, 59649}, {16772, 42695}, {16773, 42694}, {16808, 42687}, {16809, 42686}, {16964, 43401}, {16965, 43402}, {17702, 38632}, {18296, 44763}, {18357, 28150}, {18358, 55606}, {18480, 28182}, {18583, 29323}, {19106, 42164}, {19107, 42165}, {19116, 52666}, {19117, 52667}, {20070, 61251}, {20299, 50709}, {21850, 53858}, {22234, 48901}, {22236, 42105}, {22238, 42104}, {22331, 43618}, {22332, 43619}, {22791, 61284}, {22793, 28190}, {23251, 43340}, {23261, 43341}, {23698, 38628}, {28154, 61524}, {28174, 33697}, {28178, 31673}, {28198, 61249}, {28202, 50827}, {28228, 61246}, {29181, 43150}, {29317, 55597}, {30315, 50825}, {30389, 38034}, {30531, 61659}, {31454, 43380}, {31666, 61272}, {31670, 61624}, {31672, 61596}, {31834, 32137}, {32142, 46847}, {32165, 44755}, {32358, 44935}, {32479, 59546}, {32533, 43691}, {34380, 48910}, {34483, 46848}, {34507, 51022}, {34573, 55650}, {34584, 36253}, {34773, 61279}, {35007, 53419}, {35814, 53516}, {35815, 53513}, {36836, 42112}, {36843, 42113}, {36969, 42925}, {36970, 42924}, {38028, 58229}, {38956, 51532}, {39809, 51523}, {39838, 51524}, {39884, 43621}, {40330, 55620}, {42096, 42162}, {42097, 42159}, {42099, 42598}, {42100, 42599}, {42107, 42591}, {42110, 42590}, {42117, 42161}, {42118, 42160}, {42122, 42166}, {42123, 42163}, {42126, 42689}, {42127, 42688}, {42130, 42691}, {42131, 42690}, {42133, 43631}, {42134, 43630}, {42147, 43021}, {42148, 43020}, {42150, 42496}, {42151, 42497}, {42157, 43416}, {42158, 43417}, {42266, 43879}, {42267, 43880}, {42431, 42940}, {42432, 42941}, {42433, 43484}, {42434, 43483}, {42492, 43397}, {42493, 43398}, {42532, 43424}, {42533, 43425}, {42801, 43001}, {42802, 43000}, {42813, 42892}, {42814, 42893}, {42916, 43647}, {42917, 43648}, {42922, 43466}, {42923, 43465}, {42944, 43545}, {42945, 43544}, {43102, 43227}, {43103, 43226}, {43624, 43628}, {43625, 43629}, {44324, 45958}, {44882, 55694}, {48881, 55628}, {48884, 55583}, {48889, 55623}, {48895, 55698}, {48905, 51732}, {51525, 52836}, {51526, 61604}, {51528, 61602}, {51529, 61601}, {51534, 61603}, {51700, 61274}, {52987, 61545}, {53096, 53418}, {58249, 61245}

X(62034) = midpoint of X(i) and X(j) for these {i,j}: {5, 5073}, {549, 15640}, {3146, 3627}, {39884, 43621}
X(62034) = reflection of X(i) in X(j) for these {i,j}: {140, 3853}, {10575, 16881}, {10627, 46849}, {1657, 3530}, {11001, 10124}, {12100, 15687}, {12101, 3543}, {12103, 546}, {14641, 10095}, {15681, 10109}, {15683, 15759}, {15686, 3860}, {15690, 14893}, {15691, 3845}, {15704, 3628}, {20, 3850}, {3, 12102}, {31834, 32137}, {48905, 51732}, {546, 3627}, {547, 3830}, {548, 4}, {550, 3861}, {5493, 61255}, {61510, 31673}, {61596, 31672}, {61597, 12699}, {61598, 13202}, {61599, 39838}, {61600, 39809}, {61605, 52836}, {61624, 31670}
X(62034) = complement of X(62159)
X(62034) = anticomplement of X(62123)
X(62034) = pole of line {185, 3857} with respect to the Jerabek hyperbola
X(62034) = pole of line {69, 55640} with respect to the Wallace hyperbola
X(62034) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1105), X(3857)}}, {{A, B, C, X(1173), X(35478)}}, {{A, B, C, X(1294), X(58203)}}, {{A, B, C, X(3521), X(55856)}}, {{A, B, C, X(3523), X(46168)}}, {{A, B, C, X(3533), X(31371)}}, {{A, B, C, X(5055), X(18848)}}, {{A, B, C, X(5059), X(32533)}}, {{A, B, C, X(6662), X(17578)}}, {{A, B, C, X(10303), X(18846)}}, {{A, B, C, X(13623), X(15712)}}, {{A, B, C, X(15707), X(60122)}}, {{A, B, C, X(15721), X(31361)}}, {{A, B, C, X(17504), X(43970)}}, {{A, B, C, X(18296), X(33703)}}, {{A, B, C, X(21400), X(49133)}}, {{A, B, C, X(32534), X(43691)}}, {{A, B, C, X(33923), X(34483)}}, {{A, B, C, X(34484), X(46848)}}
X(62034) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 12102, 546}, {3, 12812, 140}, {3, 3544, 632}, {3, 3627, 12102}, {3, 3857, 3628}, {3, 4, 3857}, {3, 546, 12812}, {4, 13635, 3533}, {4, 15640, 17800}, {4, 15709, 3832}, {4, 15717, 381}, {4, 17800, 549}, {4, 20, 5055}, {4, 3529, 10303}, {4, 549, 3856}, {5, 3522, 11812}, {5, 550, 3524}, {20, 14093, 550}, {20, 15687, 3850}, {20, 3850, 12100}, {30, 10109, 15681}, {30, 10124, 11001}, {30, 14893, 15690}, {30, 15759, 15683}, {30, 3530, 1657}, {30, 3543, 12101}, {30, 3628, 15704}, {30, 3830, 547}, {30, 3850, 20}, {30, 3860, 15686}, {30, 546, 12103}, {140, 14893, 3859}, {140, 3853, 14893}, {376, 3522, 6961}, {376, 3858, 16239}, {381, 17538, 14869}, {382, 5073, 3543}, {546, 3627, 3853}, {550, 3830, 3861}, {632, 3627, 15687}, {1657, 17578, 3845}, {1657, 3530, 15691}, {1657, 3845, 3530}, {2043, 2044, 15707}, {3091, 15704, 15759}, {3146, 3529, 5073}, {3146, 3543, 3529}, {3146, 3627, 30}, {3522, 14269, 5}, {3524, 3543, 3830}, {3529, 3533, 17538}, {3529, 3543, 5076}, {3534, 12101, 5066}, {3534, 15694, 10304}, {3543, 5076, 3627}, {3627, 11541, 12811}, {3628, 12108, 3526}, {3628, 12811, 15022}, {3628, 15704, 548}, {3628, 15759, 12108}, {3628, 3856, 5072}, {3832, 15681, 15712}, {3832, 15712, 10109}, {3843, 5059, 8703}, {3858, 16239, 14892}, {3861, 12108, 3091}, {5349, 43633, 42913}, {6834, 10304, 15684}, {10304, 17578, 4}, {12103, 12812, 3}, {13635, 15717, 3534}, {15156, 15157, 5899}, {28178, 31673, 61510}, {42102, 42585, 42627}

X(62035) = X(2)X(3)∩X(485)X(41969)

X(62035) lies on these lines: {2, 3}, {485, 41969}, {486, 41970}, {576, 48943}, {1539, 15039}, {3818, 55602}, {5093, 51163}, {5343, 42517}, {5344, 42516}, {5691, 51515}, {5965, 48662}, {6199, 22644}, {6241, 16982}, {6395, 22615}, {6407, 42284}, {6408, 42283}, {6417, 42271}, {6418, 42272}, {6427, 35820}, {6428, 35821}, {6447, 23251}, {6448, 23261}, {6455, 43881}, {6456, 43882}, {6474, 13886}, {6475, 13939}, {6519, 42266}, {6522, 42267}, {7991, 33697}, {8148, 28236}, {9680, 41967}, {9690, 31412}, {9800, 19914}, {10247, 51118}, {10541, 48895}, {11477, 48904}, {11482, 29012}, {11485, 43334}, {11486, 43335}, {13903, 42413}, {13961, 42414}, {13993, 17851}, {14848, 51026}, {15041, 15044}, {15905, 61314}, {16189, 28208}, {16960, 42096}, {16961, 42097}, {18493, 28172}, {18525, 28228}, {20397, 38633}, {20398, 38634}, {20399, 38635}, {20400, 38636}, {21358, 55628}, {22235, 43634}, {22237, 43635}, {28164, 37624}, {28234, 48661}, {29317, 55595}, {29323, 53093}, {32137, 54048}, {35822, 43385}, {35823, 43384}, {36990, 55580}, {38072, 55694}, {39522, 52100}, {41953, 42259}, {41954, 42258}, {41963, 43503}, {41964, 43504}, {42085, 42683}, {42086, 42682}, {42095, 42931}, {42098, 42930}, {42108, 42161}, {42109, 42160}, {42112, 42166}, {42113, 42163}, {42115, 43324}, {42116, 43325}, {42126, 42165}, {42127, 42164}, {42130, 42162}, {42131, 42159}, {42133, 43329}, {42134, 43328}, {42150, 42777}, {42151, 42778}, {42154, 43009}, {42155, 43008}, {42275, 53513}, {42276, 53516}, {42429, 43239}, {42430, 43238}, {42431, 42800}, {42432, 42799}, {42490, 43548}, {42491, 43549}, {42561, 43415}, {42584, 42963}, {42585, 42962}, {42612, 42965}, {42613, 42964}, {42813, 43331}, {42814, 43330}, {42890, 43546}, {42891, 43547}, {42900, 43205}, {42901, 43206}, {42908, 46334}, {42909, 46335}, {43022, 43033}, {43023, 43032}, {43193, 43333}, {43194, 43332}, {43195, 43636}, {43196, 43637}, {43621, 55584}, {47353, 55588}, {48872, 55620}, {48879, 55641}, {48884, 53097}, {48889, 55626}, {48896, 55684}, {48901, 53092}, {48905, 55701}, {48942, 52987}, {50865, 58240}, {50869, 58235}, {50955, 55583}, {51024, 55718}, {51514, 52835}

X(62035) = midpoint of X(i) and X(j) for these {i,j}: {3843, 5073}, {5071, 15640}
X(62035) = reflection of X(i) in X(j) for these {i,j}: {1656, 17578}, {1657, 631}, {15683, 15711}, {15685, 14093}, {15694, 3830}, {15696, 4}, {15704, 12812}, {15712, 3853}, {20, 3858}, {3, 5076}, {3091, 3627}
X(62035) = inverse of X(37940) in Stammler circle
X(62035) = anticomplement of X(62126)
X(62035) = pole of line {523, 37940} with respect to the Stammler circle
X(62035) = pole of line {185, 61955} with respect to the Jerabek hyperbola
X(62035) = pole of line {69, 55638} with respect to the Wallace hyperbola
X(62035) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(547), X(18848)}}, {{A, B, C, X(3426), X(47486)}}, {{A, B, C, X(5068), X(18550)}}, {{A, B, C, X(15682), X(17505)}}, {{A, B, C, X(21400), X(49135)}}, {{A, B, C, X(32533), X(49138)}}, {{A, B, C, X(35477), X(44731)}}, {{A, B, C, X(41983), X(60122)}}, {{A, B, C, X(41990), X(54585)}}
X(62035) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 10303, 15718}, {3, 15684, 3146}, {3, 17538, 15695}, {3, 3146, 5073}, {3, 5076, 3843}, {3, 546, 5055}, {4, 12103, 5079}, {4, 15692, 3859}, {4, 20, 547}, {4, 30, 15696}, {4, 3530, 381}, {20, 12102, 5072}, {20, 3858, 15693}, {30, 12812, 15704}, {30, 14093, 15685}, {30, 15711, 15683}, {30, 17578, 1656}, {30, 3627, 3091}, {30, 3830, 15694}, {30, 3853, 15712}, {30, 3858, 20}, {30, 631, 1657}, {140, 17533, 5054}, {381, 3534, 15708}, {382, 1657, 3543}, {1656, 15696, 15692}, {3091, 3522, 3525}, {3091, 3525, 12812}, {3091, 3627, 5076}, {3146, 3543, 11541}, {3530, 12812, 632}, {3543, 11541, 546}, {3543, 15640, 15705}, {3543, 5055, 3830}, {3627, 14869, 12102}, {3830, 17800, 3851}, {3830, 5073, 17800}, {3843, 15696, 5070}, {3843, 5073, 30}, {3851, 17800, 15689}, {3861, 11001, 15720}, {5055, 15681, 8703}, {5059, 15687, 3526}, {5072, 12102, 14269}, {6959, 15683, 15688}, {10124, 15712, 631}, {12108, 15688, 3}, {12812, 15704, 3522}, {15692, 17578, 4}

X(62036) = X(1)X(28190)∩X(2)X(3)

X(62036) lies on these lines: {1, 28190}, {2, 3}, {8, 28216}, {10, 28154}, {12, 51817}, {13, 42890}, {14, 42891}, {15, 5350}, {16, 5349}, {17, 42087}, {18, 42088}, {40, 28182}, {52, 45957}, {61, 42941}, {62, 42940}, {141, 55612}, {143, 10575}, {155, 51959}, {165, 61259}, {316, 32820}, {355, 28178}, {371, 53518}, {372, 53519}, {389, 12002}, {395, 43633}, {396, 43632}, {397, 19106}, {398, 19107}, {485, 6429}, {486, 6430}, {496, 10483}, {515, 11278}, {516, 4746}, {517, 61245}, {542, 51166}, {567, 8718}, {568, 12279}, {576, 51165}, {590, 6486}, {615, 6487}, {946, 28168}, {952, 11531}, {962, 28224}, {1151, 43794}, {1152, 43793}, {1154, 11381}, {1263, 35724}, {1327, 6425}, {1328, 6426}, {1352, 55591}, {1353, 5102}, {1385, 28172}, {1478, 10386}, {1482, 61293}, {1483, 12678}, {1503, 34788}, {1506, 15602}, {1511, 38792}, {1539, 16534}, {2777, 14864}, {2883, 45185}, {3070, 42225}, {3071, 42226}, {3311, 52667}, {3312, 52666}, {3411, 46334}, {3412, 46335}, {3519, 57715}, {3521, 34567}, {3564, 48910}, {3579, 28158}, {3586, 24470}, {3589, 48896}, {3590, 43509}, {3591, 43510}, {3654, 61255}, {3818, 48874}, {3819, 46852}, {3917, 45958}, {3933, 7860}, {4301, 28208}, {4816, 5691}, {4857, 7354}, {5008, 5254}, {5041, 7747}, {5097, 8550}, {5270, 6284}, {5318, 34754}, {5321, 34755}, {5334, 42888}, {5335, 42889}, {5339, 42086}, {5340, 42085}, {5343, 11486}, {5344, 11485}, {5351, 42429}, {5352, 42430}, {5365, 42120}, {5366, 42119}, {5446, 13382}, {5447, 46847}, {5448, 51548}, {5480, 29323}, {5493, 5690}, {5562, 32137}, {5663, 13421}, {5732, 38137}, {5844, 48661}, {5876, 13474}, {5878, 31815}, {5882, 22791}, {5893, 34785}, {5894, 18383}, {5895, 32358}, {5901, 30392}, {5925, 61540}, {5946, 46850}, {6000, 10263}, {6102, 13598}, {6199, 23269}, {6221, 23253}, {6243, 12290}, {6253, 52851}, {6361, 61510}, {6395, 23275}, {6398, 23263}, {6409, 10195}, {6410, 10194}, {6431, 6561}, {6432, 6560}, {6433, 18538}, {6434, 18762}, {6437, 23251}, {6438, 23261}, {6447, 42537}, {6448, 42538}, {6453, 43210}, {6454, 43209}, {6480, 8981}, {6481, 13966}, {6482, 43879}, {6483, 43880}, {6484, 6564}, {6485, 6565}, {6519, 43413}, {6522, 43414}, {6696, 18376}, {6749, 42459}, {7583, 22644}, {7584, 22615}, {7748, 18907}, {7756, 31406}, {7764, 32479}, {7768, 32819}, {7776, 32824}, {7900, 47287}, {7982, 61297}, {7987, 61269}, {7989, 61614}, {7991, 50823}, {8960, 42258}, {9541, 13925}, {9579, 12433}, {9589, 50871}, {9607, 14537}, {9655, 15172}, {9657, 15170}, {9833, 61721}, {9862, 61600}, {10110, 14641}, {10113, 14677}, {10137, 45384}, {10138, 45385}, {10139, 12818}, {10140, 12819}, {10222, 51119}, {10248, 18493}, {10264, 10990}, {10283, 11522}, {10516, 55622}, {10592, 15338}, {10593, 15326}, {10619, 20424}, {10620, 13393}, {10625, 32062}, {10627, 15030}, {10645, 43292}, {10646, 43293}, {10721, 16659}, {10722, 52090}, {10991, 39809}, {10992, 39838}, {10993, 11698}, {11017, 54044}, {11180, 55580}, {11362, 28202}, {11374, 51790}, {11439, 23039}, {11455, 18436}, {11480, 42921}, {11481, 42920}, {11542, 42096}, {11543, 42097}, {11565, 34564}, {11591, 16194}, {11623, 22515}, {11801, 20127}, {11803, 15800}, {12006, 14855}, {12041, 38725}, {12042, 38735}, {12162, 13391}, {12248, 61601}, {12383, 61598}, {12512, 38140}, {12571, 17502}, {12702, 59400}, {12815, 15513}, {12943, 15171}, {12953, 18990}, {13172, 61599}, {13199, 61605}, {13202, 30714}, {13340, 15058}, {13346, 40111}, {13369, 31822}, {13451, 37481}, {13464, 22793}, {13470, 61744}, {13665, 43408}, {13785, 43407}, {14157, 37495}, {14226, 43884}, {14241, 43883}, {14449, 34783}, {14483, 14861}, {14490, 42021}, {14627, 52100}, {14650, 38802}, {14831, 16982}, {14862, 34782}, {15056, 44324}, {15060, 15644}, {15067, 44870}, {15068, 15811}, {15174, 61716}, {15305, 31834}, {15311, 34786}, {15749, 43719}, {15935, 57282}, {16163, 22251}, {16189, 61290}, {16192, 61263}, {16808, 42945}, {16809, 42944}, {16836, 44863}, {16964, 41974}, {16965, 41973}, {18358, 48873}, {18370, 35888}, {18400, 44762}, {18405, 20427}, {18480, 28150}, {18482, 38111}, {18483, 38028}, {18492, 61260}, {18525, 28212}, {18553, 29317}, {18555, 41588}, {18581, 42584}, {18582, 42585}, {18583, 48905}, {19130, 55688}, {20190, 38079}, {20418, 22938}, {20582, 55637}, {21167, 48920}, {21230, 32340}, {21356, 55602}, {21357, 22804}, {21659, 61299}, {22165, 55588}, {22236, 43416}, {22238, 43417}, {22728, 61625}, {24206, 55636}, {25555, 38136}, {25565, 50988}, {28194, 50868}, {28204, 51120}, {29181, 34507}, {30315, 61262}, {31162, 61286}, {31399, 34638}, {31414, 43257}, {31730, 38042}, {32142, 36987}, {33751, 51126}, {33813, 38746}, {33814, 38758}, {34628, 61276}, {35255, 42269}, {35256, 42268}, {35770, 35821}, {35771, 35820}, {35812, 42639}, {35813, 42640}, {35814, 53520}, {35815, 53517}, {36967, 42166}, {36968, 42163}, {36969, 42147}, {36970, 42148}, {36990, 43621}, {37497, 51933}, {37714, 38081}, {37727, 50865}, {38021, 50832}, {38072, 50987}, {38074, 50822}, {38076, 50825}, {38110, 48898}, {38141, 38759}, {38229, 38749}, {38599, 38770}, {38600, 38782}, {38788, 40685}, {38956, 52057}, {39561, 48901}, {39874, 61624}, {42090, 42146}, {42091, 42143}, {42093, 42113}, {42094, 42112}, {42099, 42102}, {42100, 42101}, {42107, 42937}, {42110, 42936}, {42125, 42917}, {42126, 42141}, {42127, 42140}, {42128, 42916}, {42129, 42776}, {42130, 42134}, {42131, 42133}, {42132, 42775}, {42154, 42161}, {42155, 42160}, {42159, 42913}, {42162, 42912}, {42179, 53457}, {42180, 53468}, {42181, 53456}, {42182, 53467}, {42259, 43790}, {42270, 43785}, {42273, 43786}, {42433, 42599}, {42434, 42598}, {42494, 42627}, {42495, 42628}, {42496, 43634}, {42497, 43635}, {42510, 43423}, {42511, 43422}, {42528, 42958}, {42529, 42959}, {42582, 51911}, {42583, 51910}, {42645, 43629}, {42646, 43628}, {42682, 43106}, {42683, 43105}, {42692, 43196}, {42693, 43195}, {42773, 43103}, {42774, 43102}, {42777, 43645}, {42778, 43646}, {42791, 42952}, {42792, 42953}, {42813, 42942}, {42814, 42943}, {42900, 43014}, {42901, 43015}, {42954, 43367}, {42955, 43366}, {42986, 43556}, {42987, 43557}, {42995, 61719}, {43010, 43016}, {43011, 43017}, {43012, 43203}, {43013, 43204}, {43328, 43550}, {43329, 43551}, {43334, 43500}, {43335, 43499}, {43364, 52079}, {43365, 52080}, {43438, 43570}, {43439, 43571}, {43446, 43870}, {43447, 43869}, {43618, 44518}, {43676, 54891}, {44829, 46084}, {44977, 44985}, {46264, 55711}, {47354, 55606}, {48310, 55679}, {48872, 55618}, {48879, 55640}, {48880, 55633}, {48881, 48889}, {48885, 55645}, {48892, 55680}, {50811, 61278}, {50971, 55681}, {50978, 53097}, {50984, 55652}, {51127, 55669}, {51128, 55657}, {51180, 51213}, {51184, 51217}, {51214, 55724}, {51537, 55610}, {52093, 58531}, {53023, 55699}, {58241, 61296}, {58248, 61244}

X(62036) = midpoint of X(i) and X(j) for these {i,j}: {4, 5073}, {381, 15640}, {382, 3146}, {6243, 12290}, {11541, 17800}, {15682, 15684}, {36990, 43621}
X(62036) = reflection of X(i) in X(j) for these {i,j}: {10264, 12295}, {1353, 31670}, {1483, 12699}, {10575, 143}, {10625, 45959}, {1657, 140}, {11001, 547}, {11698, 52836}, {12103, 3861}, {12248, 61601}, {12383, 61598}, {13172, 61599}, {13199, 61605}, {13369, 31822}, {13491, 5446}, {13619, 11558}, {14641, 10110}, {14677, 10113}, {15105, 14864}, {15644, 46849}, {15681, 5066}, {15683, 12100}, {15686, 3845}, {15704, 5}, {17800, 12103}, {18481, 40273}, {20, 546}, {20127, 11801}, {21230, 32340}, {21850, 51163}, {22791, 51118}, {3, 3853}, {376, 12101}, {3529, 548}, {3534, 14893}, {3627, 382}, {3845, 3543}, {34153, 1539}, {34773, 22793}, {34783, 14449}, {34785, 5893}, {36966, 15800}, {37484, 31834}, {37705, 5691}, {39874, 61624}, {39884, 48884}, {44882, 48895}, {45957, 52}, {48873, 18358}, {48874, 3818}, {48881, 48889}, {48896, 3589}, {48905, 18583}, {48906, 48901}, {5, 3627}, {548, 12102}, {549, 3830}, {550, 4}, {5562, 32137}, {5690, 31673}, {5876, 13474}, {5894, 18383}, {5925, 61540}, {51163, 48943}, {51872, 39838}, {632, 17578}, {6102, 13598}, {6361, 61510}, {61297, 7982}, {7991, 61249}, {8703, 15687}, {9862, 61600}
X(62036) = inverse of X(61970) in orthocentroidal circle
X(62036) = inverse of X(61970) in Yff hyperbola
X(62036) = complement of X(17800)
X(62036) = anticomplement of X(12103)
X(62036) = pole of line {5214, 28187} with respect to the Conway circle
X(62036) = pole of line {28187, 44409} with respect to the incircle
X(62036) = pole of line {523, 61970} with respect to the orthocentroidal circle
X(62036) = pole of line {185, 3850} with respect to the Jerabek hyperbola
X(62036) = pole of line {6, 43783} with respect to the Kiepert hyperbola
X(62036) = pole of line {523, 61970} with respect to the Yff hyperbola
X(62036) = pole of line {69, 33751} with respect to the Wallace hyperbola
X(62036) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(64), X(35479)}}, {{A, B, C, X(68), X(50693)}}, {{A, B, C, X(265), X(15704)}}, {{A, B, C, X(548), X(3519)}}, {{A, B, C, X(549), X(14861)}}, {{A, B, C, X(1494), X(44903)}}, {{A, B, C, X(1656), X(18848)}}, {{A, B, C, X(3426), X(55578)}}, {{A, B, C, X(3471), X(18507)}}, {{A, B, C, X(3518), X(57715)}}, {{A, B, C, X(3520), X(34567)}}, {{A, B, C, X(3521), X(3628)}}, {{A, B, C, X(3523), X(18846)}}, {{A, B, C, X(3529), X(15749)}}, {{A, B, C, X(3532), X(35472)}}, {{A, B, C, X(3533), X(18847)}}, {{A, B, C, X(3830), X(6662)}}, {{A, B, C, X(4846), X(10303)}}, {{A, B, C, X(5068), X(18850)}}, {{A, B, C, X(5072), X(18550)}}, {{A, B, C, X(10109), X(60121)}}, {{A, B, C, X(10304), X(42021)}}, {{A, B, C, X(10594), X(14490)}}, {{A, B, C, X(11410), X(43908)}}, {{A, B, C, X(11539), X(40448)}}, {{A, B, C, X(11738), X(44879)}}, {{A, B, C, X(13473), X(46081)}}, {{A, B, C, X(13599), X(15703)}}, {{A, B, C, X(14483), X(14865)}}, {{A, B, C, X(15318), X(49134)}}, {{A, B, C, X(15693), X(60122)}}, {{A, B, C, X(15721), X(60618)}}, {{A, B, C, X(15750), X(43719)}}, {{A, B, C, X(16251), X(21734)}}, {{A, B, C, X(19710), X(54512)}}, {{A, B, C, X(21400), X(49136)}}, {{A, B, C, X(31361), X(55864)}}, {{A, B, C, X(32533), X(49140)}}, {{A, B, C, X(35499), X(55980)}}, {{A, B, C, X(41522), X(57584)}}, {{A, B, C, X(48154), X(60171)}}
X(62036) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11541, 17800}, {2, 17800, 12103}, {2, 3861, 3857}, {2, 5076, 3861}, {3, 15702, 3530}, {3, 20, 15690}, {3, 3526, 15719}, {3, 3543, 3853}, {3, 3545, 16239}, {3, 381, 5067}, {3, 382, 3543}, {3, 3832, 547}, {3, 4, 3850}, {3, 5, 11539}, {3, 5067, 11812}, {4, 11001, 3533}, {4, 140, 3858}, {4, 3146, 5073}, {4, 3522, 3851}, {4, 3529, 3523}, {4, 3533, 3832}, {5, 30, 15704}, {5, 8703, 14869}, {20, 13587, 15698}, {20, 3091, 15705}, {20, 3525, 15688}, {20, 3830, 546}, {20, 3854, 10299}, {30, 11558, 13619}, {30, 12100, 15683}, {30, 12101, 376}, {30, 140, 1657}, {30, 14893, 3534}, {30, 17578, 632}, {30, 382, 3627}, {30, 3845, 15686}, {30, 5066, 15681}, {30, 546, 20}, {30, 547, 11001}, {140, 1657, 550}, {140, 3850, 5056}, {143, 10575, 45956}, {376, 3843, 3628}, {376, 5068, 15720}, {381, 17578, 12102}, {382, 15684, 3146}, {397, 42108, 42432}, {398, 42109, 42431}, {548, 632, 17504}, {1656, 10299, 140}, {1656, 3830, 4}, {1657, 3830, 3854}, {1657, 3851, 3522}, {2043, 2044, 15693}, {2070, 12086, 10226}, {2777, 14864, 15105}, {3090, 14269, 3856}, {3090, 15683, 15696}, {3091, 10303, 16371}, {3091, 3530, 15699}, {3146, 15682, 382}, {3146, 17578, 15640}, {3520, 5899, 12107}, {3523, 17504, 15712}, {3525, 4193, 15694}, {3526, 15685, 17538}, {3526, 3839, 12811}, {3528, 12108, 15711}, {3528, 5055, 12108}, {3529, 17578, 381}, {3530, 14893, 3091}, {3534, 15699, 15714}, {3543, 15686, 15687}, {3543, 3545, 3830}, {3545, 5067, 15022}, {3627, 3857, 5076}, {3628, 12101, 3843}, {3830, 15705, 14893}, {3839, 17538, 3526}, {3843, 15720, 5068}, {3854, 10299, 1656}, {3854, 5056, 3545}, {3855, 5054, 12812}, {3859, 12108, 5055}, {3861, 12103, 2}, {5079, 15689, 15717}, {5079, 15717, 10124}, {5189, 10301, 1368}, {5339, 42086, 42924}, {5343, 43769, 11486}, {5344, 43770, 11485}, {5365, 42120, 42989}, {5366, 42119, 42988}, {5691, 28174, 37705}, {7517, 11250, 7575}, {7756, 53418, 31406}, {10109, 15688, 549}, {10625, 32062, 45959}, {11112, 17535, 13735}, {11539, 15686, 8703}, {11539, 15687, 3845}, {11541, 17800, 30}, {11542, 42096, 43630}, {11543, 42097, 43631}, {11563, 13371, 5}, {12087, 13596, 3}, {12108, 15691, 3528}, {12295, 34584, 10264}, {14269, 15683, 12100}, {14269, 15696, 3090}, {14813, 14814, 548}, {15105, 41362, 14864}, {15305, 37484, 31834}, {15338, 18513, 10592}, {15640, 17578, 3529}, {15644, 46849, 15060}, {15765, 18585, 11737}, {18323, 18565, 11585}, {18481, 40273, 10283}, {19106, 42108, 42117}, {19106, 42432, 397}, {19107, 42109, 42118}, {22615, 42264, 7584}, {22644, 42263, 7583}, {22793, 28164, 34773}, {23263, 42414, 6398}, {28160, 51118, 22791}, {29012, 48943, 51163}, {29012, 51163, 21850}, {29181, 48884, 39884}, {35821, 42272, 42216}, {42093, 42113, 42123}, {42094, 42112, 42122}, {42096, 42105, 11542}, {42097, 42104, 11543}, {42137, 42925, 5340}, {42159, 43193, 42913}, {42162, 43194, 42912}, {42164, 43401, 16965}, {42266, 42284, 8981}, {42267, 42283, 13966}, {44882, 48895, 38136}

X(62037) = X(1)X(50873)∩X(2)X(3)

X(62037) lies on these lines: {1, 50873}, {2, 3}, {6, 51029}, {8, 50863}, {10, 50866}, {69, 51216}, {141, 51167}, {193, 51211}, {754, 53143}, {962, 34747}, {1327, 43512}, {1328, 43511}, {2996, 54934}, {3244, 50865}, {3311, 43521}, {3312, 43522}, {3424, 60626}, {3626, 34632}, {3629, 51024}, {3631, 51022}, {3632, 50864}, {3636, 34628}, {3644, 51064}, {3982, 15933}, {4301, 51094}, {4686, 51065}, {5032, 29012}, {5349, 49861}, {5350, 49862}, {5365, 42510}, {5366, 42511}, {5691, 34641}, {6329, 51026}, {6429, 43380}, {6430, 43381}, {6459, 43385}, {6460, 43384}, {7802, 32886}, {7811, 32868}, {8252, 43406}, {8253, 43405}, {9540, 43503}, {9542, 42284}, {10248, 51705}, {10653, 42630}, {10654, 42629}, {11008, 48910}, {11180, 43621}, {12818, 42266}, {12819, 42267}, {12820, 18582}, {12821, 18581}, {13935, 43504}, {14488, 60648}, {15808, 50874}, {16267, 42105}, {16268, 42104}, {16962, 42134}, {16963, 42133}, {19106, 42799}, {19107, 42800}, {19877, 50812}, {20050, 41869}, {20057, 31162}, {20423, 48943}, {20583, 51163}, {22235, 43632}, {22237, 43633}, {22615, 42523}, {22644, 42522}, {28150, 53620}, {28154, 54448}, {33416, 43398}, {33417, 43397}, {33697, 50810}, {34595, 51079}, {34638, 50870}, {34648, 50867}, {35822, 43515}, {35823, 43516}, {36967, 43195}, {36968, 43196}, {36969, 42982}, {36970, 42983}, {36990, 54174}, {37640, 43105}, {37641, 43106}, {37689, 39563}, {38098, 59387}, {40341, 51023}, {41119, 42939}, {41120, 42938}, {41895, 60335}, {41945, 42537}, {41946, 42538}, {42085, 42900}, {42086, 42901}, {42090, 43399}, {42091, 43400}, {42093, 43420}, {42094, 43421}, {42112, 43403}, {42113, 43404}, {42126, 43110}, {42127, 43111}, {42130, 43328}, {42131, 43329}, {42136, 43481}, {42137, 43482}, {42140, 43401}, {42141, 43402}, {42157, 49825}, {42158, 49824}, {42160, 43008}, {42161, 43009}, {42163, 42586}, {42166, 42587}, {42275, 43507}, {42276, 43508}, {42283, 43259}, {42494, 42791}, {42495, 42792}, {42514, 49948}, {42515, 49947}, {42641, 52667}, {42642, 52666}, {42803, 42974}, {42804, 42975}, {42813, 54593}, {42814, 54594}, {42892, 43331}, {42893, 43330}, {42904, 43203}, {42905, 43204}, {42910, 43230}, {42911, 43231}, {43201, 43332}, {43202, 43333}, {43252, 43487}, {43253, 43488}, {46932, 50799}, {46934, 50819}, {48879, 50956}, {48884, 50967}, {48904, 54132}, {48942, 54173}, {49907, 54581}, {49908, 54580}, {50813, 61261}, {51213, 54131}, {52093, 58470}, {53101, 54920}, {53109, 54522}, {54519, 60210}, {54720, 54921}, {54845, 60635}, {60132, 60628}, {61301, 61306}

X(62037) = midpoint of X(i) and X(j) for these {i,j}: {3839, 15640}
X(62037) = reflection of X(i) in X(j) for these {i,j}: {1657, 11539}, {11001, 5055}, {15683, 3524}, {15688, 15687}, {15704, 14892}, {20, 3839}, {3524, 3830}, {3529, 15688}, {3839, 3543}, {5055, 3627}
X(62037) = anticomplement of X(62130)
X(62037) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1217), X(41991)}}, {{A, B, C, X(3525), X(31361)}}, {{A, B, C, X(3530), X(18846)}}, {{A, B, C, X(3543), X(57897)}}, {{A, B, C, X(4846), X(15713)}}, {{A, B, C, X(6353), X(54934)}}, {{A, B, C, X(16251), X(19708)}}, {{A, B, C, X(18848), X(46936)}}, {{A, B, C, X(18850), X(19709)}}, {{A, B, C, X(36889), X(50688)}}, {{A, B, C, X(41983), X(46168)}}, {{A, B, C, X(46333), X(54512)}}, {{A, B, C, X(49140), X(54552)}}, {{A, B, C, X(52283), X(60626)}}, {{A, B, C, X(52290), X(60335)}}
X(62037) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10299, 15721}, {2, 15683, 550}, {2, 3522, 15700}, {2, 382, 3543}, {2, 3832, 11737}, {4, 15719, 381}, {4, 3529, 3530}, {4, 632, 3832}, {20, 3839, 15708}, {30, 11539, 1657}, {30, 14892, 15704}, {30, 15687, 15688}, {30, 15688, 3529}, {30, 3524, 15683}, {30, 3543, 3839}, {30, 3627, 5055}, {30, 3830, 3524}, {30, 3839, 20}, {30, 5055, 11001}, {381, 5059, 15697}, {382, 5073, 546}, {546, 550, 3526}, {547, 12103, 15759}, {632, 10299, 17533}, {3091, 3526, 5056}, {3091, 3543, 3830}, {3146, 17578, 5073}, {3146, 3543, 15640}, {3523, 16239, 10303}, {3524, 15709, 12108}, {3524, 15759, 15705}, {3528, 3855, 16239}, {3529, 5076, 16417}, {3530, 15688, 15710}, {3534, 11737, 10299}, {3627, 15696, 4}, {3830, 14093, 3861}, {3830, 15683, 3091}, {3839, 15640, 30}, {3845, 15700, 3544}, {3853, 15685, 5071}, {5054, 10304, 15692}, {5079, 15681, 8703}, {6834, 11001, 15682}, {10299, 11737, 2}, {10303, 15692, 15719}, {14269, 15681, 5054}, {14269, 17504, 3545}, {15682, 15684, 3146}

X(62038) = X(2)X(3)∩X(141)X(55613)

X(62038) lies on these lines: {2, 3}, {141, 55613}, {371, 43316}, {372, 43317}, {397, 42799}, {398, 42800}, {516, 61249}, {575, 51130}, {962, 61297}, {1503, 55719}, {3411, 43417}, {3412, 43416}, {3564, 55723}, {3592, 43385}, {3594, 43384}, {3653, 50874}, {3818, 55605}, {4301, 28186}, {5349, 43330}, {5350, 43331}, {5480, 55707}, {5691, 28216}, {5844, 9589}, {5881, 28212}, {5901, 28172}, {6053, 61598}, {6435, 35820}, {6436, 35821}, {6437, 43340}, {6438, 43341}, {6494, 52667}, {6495, 52666}, {7748, 14075}, {7765, 34571}, {9657, 15172}, {9692, 45384}, {11362, 28178}, {11542, 43632}, {11543, 43633}, {12699, 61288}, {12818, 43337}, {12819, 43336}, {13474, 31834}, {13925, 42266}, {13993, 42267}, {15069, 43621}, {15178, 51075}, {15606, 45959}, {16772, 42585}, {16773, 42584}, {16964, 42109}, {16965, 42108}, {18357, 28154}, {18358, 55609}, {18383, 50709}, {18583, 55702}, {19106, 43009}, {19107, 43008}, {22791, 61282}, {22793, 61278}, {23238, 44981}, {28146, 61510}, {28158, 61524}, {28160, 61286}, {28168, 40273}, {28174, 47745}, {28182, 31673}, {28190, 51118}, {28202, 50801}, {28224, 41869}, {29012, 55715}, {29181, 55586}, {29317, 55592}, {29323, 55709}, {31417, 44519}, {31447, 61259}, {31487, 43408}, {32340, 54201}, {38064, 51164}, {38066, 50867}, {40107, 48942}, {40647, 58533}, {40693, 42144}, {40694, 42145}, {42085, 42889}, {42086, 42888}, {42087, 43197}, {42088, 43198}, {42099, 42627}, {42100, 42628}, {42101, 42433}, {42102, 42434}, {42104, 43193}, {42105, 43194}, {42112, 42156}, {42113, 42153}, {42122, 42813}, {42123, 42814}, {42136, 42148}, {42137, 42147}, {42143, 43874}, {42146, 43873}, {42149, 43420}, {42152, 43421}, {42159, 43333}, {42162, 43332}, {42164, 42990}, {42165, 42991}, {42262, 43315}, {42265, 43314}, {42429, 42944}, {42430, 42945}, {42431, 43402}, {42432, 43401}, {42488, 42930}, {42489, 42931}, {42545, 42779}, {42546, 42780}, {42629, 42934}, {42630, 42935}, {42633, 43770}, {42634, 43769}, {42785, 44882}, {42904, 43012}, {42905, 43013}, {42922, 43778}, {42923, 43777}, {42924, 42940}, {42925, 42941}, {42938, 43782}, {42939, 43781}, {43100, 43476}, {43107, 43475}, {43278, 46170}, {43422, 49811}, {43423, 49810}, {43540, 43639}, {43541, 43640}, {43546, 43645}, {43547, 43646}, {43630, 43771}, {43631, 43772}, {44324, 44870}, {48884, 55589}, {48901, 55712}, {48904, 55717}, {48943, 55713}, {50956, 55641}, {51022, 52987}, {51143, 55623}, {51163, 55714}

X(62038) = midpoint of X(i) and X(j) for these {i,j}: {3627, 5073}, {15640, 15687}
X(62038) = reflection of X(i) in X(j) for these {i,j}: {140, 3627}, {1657, 3628}, {11001, 11737}, {12103, 4}, {15681, 3860}, {15683, 11812}, {15685, 14891}, {15690, 15687}, {15691, 12101}, {15704, 3850}, {20, 3861}, {3853, 382}, {31834, 13474}, {548, 3853}, {550, 12102}, {5066, 3543}, {54201, 32340}
X(62038) = inverse of X(11563) in Steiner circle
X(62038) = complement of X(62162)
X(62038) = anticomplement of X(62136)
X(62038) = pole of line {523, 11563} with respect to the Steiner circle
X(62038) = pole of line {185, 38071} with respect to the Jerabek hyperbola
X(62038) = pole of line {6, 43334} with respect to the Kiepert hyperbola
X(62038) = pole of line {69, 55635} with respect to the Wallace hyperbola
X(62038) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(15697)}}, {{A, B, C, X(1105), X(38071)}}, {{A, B, C, X(3521), X(15699)}}, {{A, B, C, X(5070), X(18848)}}, {{A, B, C, X(6662), X(50688)}}, {{A, B, C, X(15318), X(49136)}}, {{A, B, C, X(15692), X(18846)}}, {{A, B, C, X(15718), X(60122)}}, {{A, B, C, X(40448), X(45760)}}, {{A, B, C, X(46851), X(52294)}}
X(62038) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4, 15681, 632}, {4, 15704, 11540}, {4, 15710, 3091}, {4, 30, 12103}, {4, 3529, 15692}, {4, 632, 3860}, {5, 13634, 1010}, {5, 15717, 16239}, {5, 550, 15717}, {20, 140, 548}, {20, 15682, 382}, {20, 382, 3627}, {20, 3832, 3524}, {20, 548, 15691}, {30, 11737, 11001}, {30, 11812, 15683}, {30, 12102, 550}, {30, 14891, 15685}, {30, 3543, 5066}, {30, 3628, 1657}, {30, 382, 3853}, {30, 3850, 15704}, {30, 3860, 15681}, {30, 3861, 20}, {140, 12101, 546}, {140, 12103, 8703}, {140, 12811, 547}, {140, 3627, 12101}, {140, 3853, 3861}, {140, 5066, 3090}, {381, 5073, 11541}, {382, 17800, 17578}, {382, 3843, 3543}, {1657, 15687, 3628}, {1657, 3628, 15690}, {2043, 2044, 15718}, {3090, 3627, 12102}, {3146, 15682, 5073}, {3522, 3857, 10124}, {3529, 5068, 15689}, {3530, 11540, 631}, {3530, 12811, 5070}, {3530, 16239, 5054}, {3530, 3861, 12811}, {3534, 3858, 12108}, {3627, 8703, 4}, {3830, 15704, 3850}, {3850, 11540, 5079}, {3853, 12103, 3859}, {3853, 15690, 3832}, {3854, 12102, 14893}, {3859, 12103, 3530}, {3861, 10109, 3856}, {5054, 8703, 14891}, {5059, 5076, 549}, {6924, 15686, 15712}, {11542, 43632, 43634}, {11543, 43633, 43635}, {12101, 15691, 14892}, {12102, 15685, 140}, {12102, 16239, 3843}, {14784, 14785, 15697}, {14892, 15691, 12100}, {15640, 15687, 30}, {17578, 17800, 5}

X(62039) = X(2)X(3)∩X(13)X(43630)

X(62039) lies on these lines: {2, 3}, {13, 43630}, {14, 43631}, {15, 42502}, {16, 42503}, {511, 51183}, {515, 50831}, {516, 50823}, {1327, 43321}, {1328, 43320}, {1353, 48904}, {1483, 51095}, {1503, 50986}, {3244, 28208}, {3576, 50874}, {3626, 33697}, {3629, 11645}, {3631, 48884}, {3654, 28182}, {3656, 28190}, {3982, 15935}, {4669, 28202}, {4677, 28174}, {4745, 28150}, {5085, 51164}, {5318, 42506}, {5321, 42507}, {5334, 42416}, {5335, 42415}, {5476, 51026}, {5657, 50867}, {6407, 60307}, {6408, 60308}, {6425, 43570}, {6426, 43571}, {6433, 43568}, {6434, 43569}, {6560, 42576}, {6561, 42577}, {7583, 43515}, {7584, 43516}, {8584, 29012}, {9691, 43560}, {10283, 28168}, {10519, 51217}, {10653, 42923}, {10654, 42922}, {12816, 42916}, {12817, 42917}, {12820, 42099}, {12821, 42100}, {13468, 53144}, {13665, 42643}, {13785, 42644}, {13846, 42608}, {13847, 42609}, {14488, 60287}, {14912, 51213}, {16191, 28186}, {16241, 43475}, {16242, 43476}, {16964, 43310}, {16965, 43311}, {18510, 43522}, {18512, 43521}, {18538, 43503}, {18553, 51142}, {18762, 43504}, {18907, 39593}, {19106, 43228}, {19107, 43229}, {20582, 48879}, {20583, 21850}, {21849, 45956}, {22165, 39884}, {22505, 36521}, {22566, 35022}, {22793, 51103}, {23249, 42537}, {23259, 42538}, {23302, 42504}, {23303, 42505}, {28146, 50862}, {28154, 50796}, {28158, 50821}, {28160, 51071}, {28164, 50824}, {28172, 50869}, {28178, 59400}, {28198, 34641}, {28212, 50864}, {28216, 50798}, {28228, 50830}, {28232, 50868}, {29181, 50978}, {29317, 51022}, {29323, 59399}, {31162, 61284}, {31673, 38098}, {32479, 51123}, {34628, 40273}, {34648, 38081}, {34747, 41869}, {36969, 42144}, {36970, 42145}, {37640, 42515}, {37641, 42514}, {37832, 42957}, {37835, 42956}, {38034, 50832}, {38079, 48898}, {38136, 50987}, {38140, 50825}, {40341, 43621}, {41100, 42940}, {41101, 42941}, {41107, 42117}, {41108, 42118}, {41112, 42137}, {41113, 42136}, {41119, 42112}, {41120, 42113}, {41121, 42087}, {41122, 42088}, {41147, 51523}, {41152, 52987}, {42085, 42509}, {42086, 42508}, {42096, 42511}, {42097, 42510}, {42101, 49908}, {42102, 49907}, {42104, 42913}, {42105, 42912}, {42121, 42631}, {42122, 49905}, {42123, 49906}, {42124, 42632}, {42130, 42496}, {42131, 42497}, {42140, 49826}, {42141, 49827}, {42149, 42586}, {42152, 42587}, {42157, 42635}, {42158, 42636}, {42225, 42417}, {42226, 42418}, {42274, 54596}, {42275, 52047}, {42276, 52048}, {42277, 54595}, {42429, 43247}, {42430, 43246}, {42528, 43230}, {42529, 43231}, {42639, 53130}, {42640, 53131}, {42641, 43322}, {42642, 43323}, {42888, 42975}, {42889, 42974}, {42890, 43773}, {42891, 43774}, {42892, 42905}, {42893, 42904}, {42918, 43369}, {42919, 43368}, {42938, 49904}, {42939, 49903}, {42962, 43477}, {42963, 43478}, {43004, 43204}, {43005, 43203}, {43226, 54577}, {43227, 54576}, {43486, 61719}, {43509, 43566}, {43510, 43567}, {43511, 60306}, {43512, 60305}, {43546, 43632}, {43547, 43633}, {43647, 49874}, {43648, 49873}, {48310, 48891}, {48873, 50993}, {48874, 48942}, {48906, 48943}, {49911, 51484}, {49914, 51485}, {50806, 61273}, {50810, 61251}, {50811, 61279}, {50812, 61614}, {50826, 50870}, {50828, 61270}, {50960, 55649}, {50991, 51184}, {51092, 61293}, {51096, 61297}, {51167, 51186}, {54717, 60645}, {60132, 60638}

X(62039) = midpoint of X(i) and X(j) for these {i,j}: {3146, 15684}, {3543, 5073}, {3830, 15640}
X(62039) = reflection of X(i) in X(j) for these {i,j}: {1657, 547}, {11001, 5066}, {15681, 546}, {15683, 140}, {15685, 12100}, {15686, 4}, {15687, 382}, {15691, 12102}, {15704, 381}, {15714, 17578}, {17800, 15691}, {20, 14893}, {376, 3853}, {3534, 12101}, {34628, 40273}, {48879, 20582}, {5, 3543}, {549, 3627}, {550, 15687}, {5476, 51026}, {51709, 50869}, {8703, 3830}
X(62039) = inverse of X(61969) in orthocentroidal circle
X(62039) = inverse of X(61969) in Yff hyperbola
X(62039) = complement of X(62163)
X(62039) = anticomplement of X(62138)
X(62039) = pole of line {523, 61969} with respect to the orthocentroidal circle
X(62039) = pole of line {6, 61969} with respect to the Kiepert hyperbola
X(62039) = pole of line {523, 61969} with respect to the Yff hyperbola
X(62039) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(44903)}}, {{A, B, C, X(3534), X(57823)}}, {{A, B, C, X(15704), X(54512)}}, {{A, B, C, X(18848), X(55857)}}, {{A, B, C, X(44904), X(60121)}}
X(62039) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15682, 382}, {2, 15687, 3845}, {2, 15715, 15701}, {2, 3530, 15713}, {2, 3851, 10109}, {4, 15708, 381}, {5, 8703, 11812}, {20, 14893, 11539}, {30, 12100, 15685}, {30, 12102, 15691}, {30, 140, 15683}, {30, 14893, 20}, {30, 15691, 17800}, {30, 17578, 15714}, {30, 3543, 5}, {30, 3627, 549}, {30, 381, 15704}, {30, 382, 15687}, {30, 3853, 376}, {30, 5066, 11001}, {30, 546, 15681}, {30, 547, 1657}, {381, 15708, 12812}, {381, 3534, 15722}, {382, 14269, 3543}, {382, 5073, 3529}, {382, 550, 3627}, {546, 15681, 17504}, {3146, 15684, 30}, {3522, 15713, 15711}, {3524, 3543, 5076}, {3529, 3543, 14269}, {3534, 15722, 3522}, {3534, 3543, 12101}, {3830, 11001, 5066}, {3839, 15715, 5079}, {3855, 15707, 547}, {8703, 15686, 15697}, {8703, 15713, 15698}, {11539, 14893, 3857}, {11737, 12100, 2}, {11737, 14869, 15699}, {11737, 15688, 14869}, {12100, 15685, 15686}, {12100, 15697, 8703}, {12102, 15691, 3545}, {12102, 17800, 15712}, {12812, 15690, 12100}, {14269, 15681, 15720}, {14869, 15686, 15688}, {15640, 15682, 3830}, {15681, 17504, 550}, {15685, 15694, 3534}, {15686, 15687, 11737}, {15687, 17504, 546}, {15704, 15713, 15690}, {28172, 50869, 51709}, {41112, 43108, 42633}, {41113, 43109, 42634}, {42130, 42496, 43639}, {42131, 42497, 43640}, {42136, 43109, 41113}, {42137, 43108, 41112}, {42941, 43105, 43418}

X(62040) = X(2)X(3)∩X(13)X(42130)

X(62040) lies on these lines: {2, 3}, {13, 42130}, {14, 42131}, {15, 43331}, {16, 43330}, {61, 42509}, {62, 42508}, {115, 41151}, {355, 51070}, {395, 42113}, {396, 42112}, {399, 37672}, {511, 51027}, {515, 50805}, {516, 50798}, {517, 50871}, {524, 43621}, {542, 51187}, {590, 43503}, {598, 54734}, {599, 48884}, {615, 43504}, {671, 54851}, {946, 41150}, {962, 34748}, {1160, 13691}, {1161, 13810}, {1327, 6221}, {1328, 6398}, {1351, 41149}, {1352, 41152}, {1482, 51091}, {1503, 50962}, {1699, 31662}, {2794, 12355}, {3098, 51186}, {3311, 42417}, {3312, 42418}, {3564, 51214}, {3654, 28150}, {3655, 51104}, {3656, 28164}, {3679, 33697}, {3763, 55642}, {3818, 50993}, {4669, 12702}, {4677, 18525}, {4745, 31673}, {5008, 11648}, {5050, 51173}, {5097, 48904}, {5102, 29012}, {5306, 43618}, {5318, 42511}, {5321, 42510}, {5476, 55703}, {5480, 41153}, {5587, 50866}, {5603, 50873}, {5691, 28202}, {5790, 28154}, {6033, 15300}, {6199, 42537}, {6321, 41147}, {6361, 51072}, {6395, 42538}, {6407, 23253}, {6408, 23263}, {6429, 13903}, {6430, 13961}, {6431, 35820}, {6432, 35821}, {6433, 6564}, {6434, 6565}, {6437, 13665}, {6438, 13785}, {6455, 42602}, {6456, 42603}, {6480, 13846}, {6481, 13847}, {6484, 8976}, {6485, 13951}, {6496, 43254}, {6497, 43255}, {6519, 42608}, {6522, 42609}, {7585, 43521}, {7586, 43522}, {7603, 11742}, {7988, 50820}, {8584, 31670}, {8981, 10137}, {9300, 43619}, {9690, 60307}, {9766, 32479}, {9778, 50867}, {9812, 50824}, {9880, 41154}, {10138, 13966}, {10165, 50807}, {10246, 28172}, {10247, 28190}, {10516, 51167}, {10620, 33586}, {10645, 43399}, {10646, 43400}, {10653, 42108}, {10654, 42109}, {10722, 48657}, {11055, 48673}, {11178, 48872}, {11179, 51163}, {11180, 55584}, {11231, 50812}, {11238, 37587}, {11278, 18526}, {11480, 42430}, {11481, 42429}, {11485, 41112}, {11486, 41113}, {11531, 28204}, {11645, 15534}, {11668, 54478}, {11738, 44555}, {12117, 38743}, {12645, 28194}, {12699, 51071}, {12816, 36967}, {12817, 36968}, {13102, 36382}, {13103, 36383}, {13340, 32062}, {13713, 45489}, {13836, 45488}, {14226, 43508}, {14241, 43507}, {14458, 60216}, {14492, 60283}, {14537, 44526}, {14641, 16226}, {14830, 36523}, {14848, 48901}, {14855, 58470}, {14915, 21969}, {15030, 54047}, {15107, 52055}, {15533, 18440}, {16200, 28160}, {16267, 43016}, {16268, 43017}, {16644, 42632}, {16645, 42631}, {17503, 54644}, {17834, 33541}, {18480, 51066}, {18481, 51103}, {18483, 51109}, {18493, 51110}, {18510, 42264}, {18512, 42263}, {18581, 42792}, {18582, 42791}, {19053, 42226}, {19054, 42225}, {19106, 41101}, {19107, 41100}, {20423, 51165}, {20582, 55639}, {21356, 55604}, {21358, 48880}, {22165, 33878}, {22236, 42506}, {22238, 42507}, {22615, 41946}, {22644, 41945}, {22793, 34628}, {22796, 36767}, {23249, 43316}, {23259, 43317}, {23334, 51123}, {25561, 48879}, {25565, 55676}, {26446, 50800}, {28146, 59503}, {28158, 50796}, {28168, 50811}, {28174, 50864}, {28178, 50810}, {28216, 51515}, {28224, 50872}, {28228, 50804}, {29181, 50955}, {29317, 47353}, {29323, 39561}, {30392, 51709}, {31162, 33179}, {31671, 60963}, {31730, 51069}, {32006, 32896}, {32424, 38800}, {32787, 42275}, {32788, 42276}, {33416, 51944}, {33417, 51945}, {33616, 33621}, {33617, 33620}, {33623, 37786}, {33625, 37785}, {33706, 48663}, {34648, 38066}, {34706, 34740}, {34707, 34739}, {34754, 36969}, {34755, 36970}, {35751, 48655}, {35770, 42576}, {35771, 42577}, {35873, 39648}, {35874, 39679}, {36329, 48656}, {36386, 48666}, {36388, 48665}, {36521, 38730}, {36749, 52100}, {36990, 50989}, {37640, 42144}, {37641, 42145}, {38028, 50819}, {38072, 48898}, {38079, 55692}, {38110, 50975}, {38112, 50809}, {39884, 54170}, {40727, 47102}, {41107, 42127}, {41108, 42126}, {41119, 42105}, {41120, 42104}, {41121, 42094}, {41122, 42093}, {42085, 43228}, {42086, 43229}, {42117, 42419}, {42118, 42420}, {42119, 49825}, {42120, 49824}, {42122, 42907}, {42123, 42906}, {42129, 42625}, {42132, 42626}, {42133, 49861}, {42134, 49862}, {42140, 42588}, {42141, 42589}, {42150, 49811}, {42151, 49810}, {42153, 42586}, {42156, 42587}, {42157, 42532}, {42158, 42533}, {42159, 42503}, {42162, 42502}, {42283, 43888}, {42284, 43887}, {42514, 49875}, {42515, 49876}, {42528, 42931}, {42529, 42930}, {42633, 42889}, {42634, 42888}, {42639, 43509}, {42640, 43510}, {42729, 54635}, {42730, 54634}, {42902, 43326}, {42903, 43327}, {42912, 43328}, {42913, 43329}, {42964, 43485}, {42965, 43486}, {42972, 42977}, {42973, 42976}, {43009, 61719}, {43314, 43562}, {43315, 43563}, {43336, 43381}, {43337, 43380}, {43342, 43515}, {43343, 43516}, {43415, 60308}, {43416, 49813}, {43417, 49812}, {44678, 51122}, {45103, 54645}, {47352, 48895}, {47354, 55610}, {48310, 55678}, {48855, 48916}, {48881, 51143}, {48889, 55633}, {48896, 55688}, {48905, 48943}, {49851, 49941}, {49852, 49942}, {50799, 50870}, {50806, 50869}, {50829, 61263}, {50863, 59388}, {50954, 51022}, {50963, 51026}, {50971, 55682}, {50977, 55618}, {50979, 51538}, {51076, 61266}, {51078, 58441}, {51164, 55685}, {51537, 55616}, {53023, 55695}, {53517, 60313}, {53520, 60314}, {54477, 60277}, {54519, 60641}, {54522, 60281}, {54582, 60238}, {54608, 60626}, {54612, 60635}, {54813, 60644}, {54934, 60228}

X(62040) = midpoint of X(i) and X(j) for these {i,j}: {5073, 15684}, {11541, 15683}, {15640, 15682}
X(62040) = reflection of X(i) in X(j) for these {i,j}: {1657, 381}, {11001, 3845}, {11178, 48942}, {11179, 51163}, {13340, 32062}, {14830, 39809}, {15681, 4}, {15683, 5}, {15684, 3146}, {15685, 2}, {15686, 3853}, {15704, 14893}, {17800, 376}, {20, 15687}, {3, 3543}, {376, 3627}, {381, 382}, {382, 15684}, {3529, 549}, {3534, 3830}, {3654, 50862}, {3655, 51118}, {3679, 33697}, {3830, 15682}, {34628, 22793}, {34707, 34739}, {34718, 5691}, {34740, 34706}, {34748, 962}, {48657, 10722}, {48872, 11178}, {48879, 25561}, {5059, 15686}, {599, 48884}, {51122, 44678}, {51705, 50869}, {51737, 51026}, {54131, 48904}, {54170, 39884}, {54173, 51022}, {55584, 11180}
X(62040) = inverse of X(3860) in orthocentroidal circle
X(62040) = inverse of X(37958) in Stammler circle
X(62040) = inverse of X(3860) in Yff hyperbola
X(62040) = complement of X(62165)
X(62040) = anticomplement of X(19710)
X(62040) = pole of line {523, 3860} with respect to the orthocentroidal circle
X(62040) = pole of line {523, 37958} with respect to the Stammler circle
X(62040) = pole of line {185, 61946} with respect to the Jerabek hyperbola
X(62040) = pole of line {6, 3860} with respect to the Kiepert hyperbola
X(62040) = pole of line {523, 3860} with respect to the Yff hyperbola
X(62040) = pole of line {69, 55634} with respect to the Wallace hyperbola
X(62040) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(64), X(44880)}}, {{A, B, C, X(264), X(3860)}}, {{A, B, C, X(265), X(15683)}}, {{A, B, C, X(468), X(54851)}}, {{A, B, C, X(632), X(18848)}}, {{A, B, C, X(1494), X(15685)}}, {{A, B, C, X(1657), X(54512)}}, {{A, B, C, X(3521), X(7486)}}, {{A, B, C, X(3529), X(18317)}}, {{A, B, C, X(3843), X(54924)}}, {{A, B, C, X(4846), X(15709)}}, {{A, B, C, X(5066), X(18550)}}, {{A, B, C, X(5094), X(54734)}}, {{A, B, C, X(11331), X(60216)}}, {{A, B, C, X(11410), X(44731)}}, {{A, B, C, X(14040), X(54551)}}, {{A, B, C, X(14490), X(52294)}}, {{A, B, C, X(15705), X(16251)}}, {{A, B, C, X(15711), X(57822)}}, {{A, B, C, X(15712), X(60122)}}, {{A, B, C, X(15719), X(18847)}}, {{A, B, C, X(15749), X(49138)}}, {{A, B, C, X(18846), X(21734)}}, {{A, B, C, X(21735), X(54667)}}, {{A, B, C, X(33286), X(54828)}}, {{A, B, C, X(52292), X(54644)}}, {{A, B, C, X(52293), X(54645)}}
X(62040) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15690}, {2, 15690, 3}, {2, 15711, 15701}, {2, 15759, 15722}, {2, 30, 15685}, {2, 376, 15711}, {2, 4, 3860}, {3, 15708, 15700}, {3, 3545, 15723}, {3, 3830, 3845}, {3, 3832, 1656}, {3, 3843, 5056}, {3, 3851, 16239}, {3, 5055, 15702}, {3, 547, 5054}, {4, 11001, 15719}, {4, 12103, 5070}, {4, 12811, 3843}, {4, 20, 632}, {4, 30, 15681}, {5, 15683, 15689}, {5, 30, 15683}, {20, 15687, 5055}, {20, 5055, 14093}, {30, 14893, 15704}, {30, 15682, 3830}, {30, 15684, 382}, {30, 15686, 5059}, {30, 15687, 20}, {30, 3146, 15684}, {30, 376, 17800}, {30, 381, 1657}, {30, 3845, 11001}, {30, 3853, 15686}, {30, 549, 3529}, {376, 3832, 11539}, {381, 5054, 5079}, {382, 1656, 3627}, {382, 1657, 5076}, {546, 10304, 15703}, {547, 15705, 6980}, {548, 5071, 15707}, {632, 8703, 12100}, {1328, 43209, 6398}, {1657, 5076, 3526}, {1657, 5079, 15696}, {2043, 2044, 15712}, {3091, 10303, 17568}, {3146, 15640, 15682}, {3522, 15699, 15718}, {3524, 17578, 14893}, {3530, 3627, 4}, {3534, 15693, 15688}, {3534, 15716, 15695}, {3534, 5066, 15706}, {3534, 5072, 15698}, {3543, 15702, 15687}, {3543, 3545, 3853}, {3543, 5059, 3545}, {3544, 15687, 14269}, {3544, 3832, 3850}, {3830, 15685, 2}, {3839, 15694, 5072}, {3839, 15698, 10109}, {3845, 15686, 11812}, {3845, 5066, 3832}, {3845, 8703, 547}, {5055, 14093, 15720}, {8703, 11540, 15692}, {8703, 12100, 15710}, {10109, 15698, 15694}, {11001, 15682, 3543}, {11540, 12103, 8703}, {11541, 15683, 30}, {12100, 15720, 15693}, {12101, 15685, 15716}, {12101, 15716, 381}, {12816, 36967, 49905}, {12816, 49905, 42128}, {12817, 49906, 42125}, {14269, 15681, 3530}, {14269, 15701, 5066}, {14269, 17800, 376}, {14892, 15714, 3525}, {14893, 15704, 3524}, {15640, 15684, 3534}, {15695, 15722, 15759}, {15704, 17578, 3851}, {15765, 18585, 3544}, {28150, 50862, 3654}, {36969, 46335, 49947}, {36970, 46334, 49948}, {42096, 49947, 46335}, {42097, 49948, 46334}, {42141, 42589, 49826}, {42528, 43549, 42931}, {42529, 43548, 42930}, {42537, 52667, 43257}, {42538, 52666, 43256}, {43210, 53518, 1327}

X(62041) = X(2)X(3)∩X(495)X(4330)

X(62041) lies on these lines: {2, 3}, {40, 61255}, {61, 43401}, {62, 43402}, {141, 48942}, {355, 28182}, {395, 43001}, {396, 43000}, {397, 42965}, {398, 42964}, {485, 6468}, {486, 6469}, {495, 4330}, {496, 4325}, {515, 61297}, {516, 37705}, {542, 51182}, {952, 9589}, {962, 61295}, {1353, 29012}, {1483, 4301}, {1503, 55720}, {3357, 50709}, {3411, 5321}, {3412, 5318}, {3521, 57714}, {3564, 43621}, {3818, 55608}, {4299, 9671}, {4302, 9656}, {4309, 12943}, {4316, 10593}, {4317, 12953}, {4324, 10592}, {4333, 12019}, {4338, 37730}, {5229, 31480}, {5305, 43618}, {5339, 42634}, {5340, 42633}, {5349, 36968}, {5350, 36967}, {5351, 43545}, {5352, 43544}, {5365, 43640}, {5366, 43639}, {5446, 45956}, {5480, 48943}, {5663, 14531}, {5690, 28150}, {5734, 61283}, {5881, 28174}, {5946, 14641}, {6101, 13474}, {6241, 14449}, {6470, 42263}, {6471, 42264}, {6684, 61260}, {7354, 37602}, {7583, 42275}, {7584, 42276}, {7747, 9607}, {7756, 9606}, {7765, 18907}, {7843, 51123}, {7873, 59780}, {7982, 50831}, {7991, 61248}, {8162, 9657}, {8960, 43210}, {9644, 32047}, {9670, 18990}, {9680, 18538}, {9681, 23251}, {9693, 13903}, {9698, 53418}, {9705, 37495}, {10095, 14855}, {10112, 53779}, {10263, 14915}, {10283, 22793}, {10386, 15888}, {10483, 37722}, {10574, 13451}, {10625, 32137}, {10627, 16194}, {10721, 23236}, {11224, 28186}, {11362, 28146}, {11381, 13391}, {11439, 13340}, {11455, 37484}, {11477, 50986}, {11485, 42889}, {11486, 42888}, {11542, 42112}, {11543, 42113}, {11591, 32062}, {11749, 44967}, {12007, 15520}, {12295, 14677}, {12699, 28190}, {12702, 61251}, {13202, 34153}, {13491, 13598}, {13603, 34483}, {13607, 22791}, {13624, 61270}, {13665, 42413}, {13785, 42414}, {13925, 23253}, {13993, 23263}, {14073, 44981}, {14128, 36987}, {14848, 51029}, {14929, 32819}, {15032, 52100}, {15067, 46849}, {15072, 16881}, {15516, 29323}, {16003, 34584}, {16111, 20396}, {16772, 42099}, {16773, 42100}, {16960, 43636}, {16961, 43637}, {16962, 42909}, {16963, 42908}, {16964, 42108}, {16965, 42109}, {18350, 43576}, {18358, 48872}, {18394, 43903}, {18405, 61540}, {18480, 28158}, {18481, 61278}, {18525, 28216}, {18553, 51022}, {19106, 42144}, {19107, 42145}, {19116, 35821}, {19117, 35820}, {19130, 55686}, {19925, 31447}, {21317, 52219}, {22337, 23241}, {23249, 31487}, {23261, 43431}, {24206, 55638}, {24470, 37723}, {25555, 50987}, {25561, 50981}, {26883, 40111}, {28154, 31673}, {28168, 34773}, {28194, 50830}, {28202, 50823}, {28212, 61245}, {28224, 48661}, {29181, 55585}, {29317, 39884}, {31162, 61282}, {31414, 43408}, {31425, 61261}, {31450, 44519}, {31454, 41954}, {31666, 50802}, {32521, 52854}, {32523, 44422}, {34224, 43599}, {34754, 42683}, {34755, 42682}, {35242, 61262}, {35812, 42284}, {35813, 42283}, {35814, 42259}, {35815, 42258}, {37714, 38112}, {38081, 43174}, {38110, 48895}, {38136, 48898}, {40107, 48874}, {40273, 61276}, {40693, 42096}, {40694, 42097}, {41119, 42587}, {41120, 42586}, {41362, 52102}, {41953, 41970}, {41971, 42157}, {41972, 42158}, {42087, 42813}, {42088, 42814}, {42093, 42584}, {42094, 42585}, {42101, 42686}, {42102, 42687}, {42103, 42491}, {42104, 42123}, {42105, 42122}, {42106, 42490}, {42121, 42433}, {42124, 42434}, {42130, 43634}, {42131, 43635}, {42133, 42690}, {42134, 42691}, {42140, 42688}, {42141, 42689}, {42150, 43416}, {42151, 43417}, {42160, 42924}, {42161, 42925}, {42164, 42431}, {42165, 42432}, {42215, 42272}, {42216, 42271}, {42492, 42919}, {42493, 42918}, {42598, 43483}, {42599, 43484}, {42625, 42920}, {42626, 42921}, {42629, 43301}, {42630, 43300}, {42777, 43546}, {42778, 43547}, {42779, 43245}, {42780, 43244}, {42795, 42945}, {42796, 42944}, {42938, 44016}, {42939, 44015}, {42962, 52079}, {42963, 52080}, {42970, 43031}, {42971, 43030}, {42974, 43770}, {42975, 43769}, {43105, 43302}, {43106, 43303}, {43209, 58866}, {43211, 43503}, {43212, 43504}, {43438, 60313}, {43439, 60314}, {43493, 43552}, {43494, 43553}, {43699, 44763}, {44870, 54042}, {44882, 55696}, {48876, 48884}, {48879, 55635}, {48880, 55630}, {48881, 55625}, {48889, 55634}, {48896, 55689}, {48901, 55710}, {50865, 61288}, {50959, 55687}, {50980, 55644}, {50982, 52987}, {50991, 55600}, {51023, 55580}, {58239, 61291}, {61258, 61524}

X(62041) = midpoint of X(i) and X(j) for these {i,j}: {1657, 11541}, {3146, 5073}, {15640, 15684}
X(62041) = reflection of X(i) in X(j) for these {i,j}: {141, 48942}, {10625, 32137}, {1657, 546}, {11001, 14893}, {11749, 44967}, {13491, 13598}, {14073, 44981}, {14677, 12295}, {15681, 12101}, {15683, 5066}, {15685, 547}, {15686, 3830}, {15687, 15682}, {15704, 4}, {17800, 548}, {20, 3853}, {21317, 52219}, {21850, 48904}, {3529, 140}, {32521, 52854}, {34153, 13202}, {34773, 51118}, {45957, 10263}, {48872, 18358}, {48876, 48884}, {48906, 51163}, {5, 382}, {550, 3627}, {5059, 12103}, {5480, 48943}, {5690, 33697}, {6101, 13474}, {6241, 14449}, {61295, 962}, {8703, 3543}
X(62041) = inverse of X(61968) in orthocentroidal circle
X(62041) = inverse of X(44961) in Steiner circle
X(62041) = inverse of X(61968) in Yff hyperbola
X(62041) = complement of X(49137)
X(62041) = anticomplement of X(62144)
X(62041) = pole of line {523, 61968} with respect to the orthocentroidal circle
X(62041) = pole of line {523, 19918} with respect to the Steiner circle
X(62041) = pole of line {185, 5066} with respect to the Jerabek hyperbola
X(62041) = pole of line {6, 42902} with respect to the Kiepert hyperbola
X(62041) = pole of line {523, 61968} with respect to the Yff hyperbola
X(62041) = pole of line {69, 55633} with respect to the Wallace hyperbola
X(62041) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(64), X(44878)}}, {{A, B, C, X(547), X(3521)}}, {{A, B, C, X(1105), X(5066)}}, {{A, B, C, X(3519), X(41981)}}, {{A, B, C, X(3520), X(57714)}}, {{A, B, C, X(3526), X(18848)}}, {{A, B, C, X(3530), X(13623)}}, {{A, B, C, X(4846), X(55864)}}, {{A, B, C, X(5073), X(15318)}}, {{A, B, C, X(5076), X(6662)}}, {{A, B, C, X(8703), X(34483)}}, {{A, B, C, X(10304), X(18846)}}, {{A, B, C, X(13603), X(34484)}}, {{A, B, C, X(15022), X(18850)}}, {{A, B, C, X(15700), X(60122)}}, {{A, B, C, X(15719), X(15740)}}, {{A, B, C, X(15721), X(60007)}}, {{A, B, C, X(31361), X(46935)}}, {{A, B, C, X(33703), X(43699)}}, {{A, B, C, X(35478), X(57730)}}, {{A, B, C, X(44763), X(55576)}}, {{A, B, C, X(47478), X(60121)}}
X(62041) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15687, 3858}, {3, 1656, 15721}, {3, 17578, 3861}, {3, 382, 17578}, {3, 3858, 15699}, {3, 4, 5066}, {3, 5068, 10124}, {3, 5071, 140}, {4, 10303, 381}, {4, 10304, 5072}, {4, 15698, 3091}, {4, 20, 3526}, {4, 30, 15704}, {4, 3146, 15684}, {4, 3526, 3856}, {4, 3529, 10304}, {4, 3534, 3628}, {4, 376, 15022}, {5, 14869, 5070}, {5, 382, 3627}, {5, 8703, 631}, {20, 17578, 3855}, {20, 382, 3853}, {20, 3843, 3530}, {20, 3855, 3}, {30, 12101, 15681}, {30, 12103, 5059}, {30, 140, 3529}, {30, 14893, 11001}, {30, 15682, 15687}, {30, 3543, 8703}, {30, 3627, 550}, {30, 3853, 20}, {30, 5066, 15683}, {30, 546, 1657}, {30, 547, 15685}, {30, 548, 17800}, {140, 3529, 15686}, {140, 3832, 5}, {376, 3850, 14869}, {376, 5076, 3850}, {381, 3528, 16239}, {382, 15696, 3830}, {485, 43337, 43339}, {486, 43336, 43338}, {546, 15713, 6864}, {548, 3628, 15717}, {549, 10304, 15711}, {550, 3845, 632}, {631, 3528, 15705}, {1657, 15705, 12103}, {1657, 3543, 546}, {2041, 2042, 5073}, {3146, 15640, 4}, {3523, 14269, 12811}, {3529, 3832, 15696}, {3530, 3853, 3843}, {3534, 14269, 17678}, {3627, 15704, 3857}, {3830, 15696, 3832}, {3839, 15691, 15713}, {3851, 17538, 12100}, {3854, 17538, 6863}, {5066, 10124, 5055}, {5899, 12086, 15331}, {6927, 17800, 12101}, {6943, 15683, 6880}, {7486, 15717, 15709}, {10263, 14915, 45957}, {10303, 13635, 3534}, {10303, 15712, 549}, {10303, 15759, 15712}, {10304, 15696, 548}, {11001, 14893, 17504}, {11541, 15682, 5068}, {12087, 14130, 7555}, {12101, 15681, 11539}, {12103, 16239, 3528}, {12811, 15690, 3523}, {15640, 15684, 30}, {15682, 17578, 382}, {15683, 17578, 7486}, {15686, 15687, 5071}, {15687, 15699, 3845}, {15687, 15713, 3839}, {15705, 15719, 15700}, {15765, 18585, 14892}, {29323, 51163, 48906}, {35820, 42225, 19117}, {35821, 42226, 19116}

X(62042) = X(2)X(3)∩X(8)X(28202)

X(62042) lies on these lines: {2, 3}, {6, 43797}, {8, 28202}, {13, 42112}, {14, 42113}, {40, 38098}, {69, 55586}, {98, 60631}, {182, 51177}, {371, 43515}, {372, 43516}, {397, 49876}, {398, 49875}, {515, 34631}, {516, 34627}, {542, 11008}, {671, 60322}, {944, 50865}, {962, 28208}, {1151, 41952}, {1152, 41951}, {1285, 5309}, {1327, 13886}, {1328, 13939}, {1350, 51022}, {1352, 55592}, {1494, 32001}, {1992, 29012}, {3068, 43791}, {3069, 43792}, {3070, 42641}, {3071, 42642}, {3163, 33630}, {3241, 28160}, {3244, 41869}, {3316, 52045}, {3317, 52046}, {3488, 3982}, {3586, 4031}, {3619, 48879}, {3626, 6361}, {3629, 39874}, {3631, 47353}, {3632, 28194}, {3654, 33697}, {3655, 9812}, {3679, 28150}, {3818, 55609}, {3849, 53143}, {4297, 50869}, {4301, 51095}, {5032, 51176}, {5334, 43106}, {5335, 43105}, {5339, 42899}, {5340, 42898}, {5343, 49948}, {5344, 49947}, {5349, 49906}, {5350, 49905}, {5351, 42776}, {5352, 42775}, {5365, 33603}, {5366, 33602}, {5368, 11648}, {5476, 48943}, {5485, 54845}, {5587, 34638}, {5603, 28172}, {5657, 28158}, {5691, 50810}, {5818, 50808}, {5921, 51179}, {5984, 12355}, {6154, 10728}, {6221, 43507}, {6241, 21969}, {6329, 48905}, {6398, 43508}, {6435, 6561}, {6436, 6560}, {6447, 43376}, {6448, 43377}, {6459, 42537}, {6460, 42538}, {6470, 43385}, {6471, 43384}, {6684, 50813}, {6776, 51024}, {7581, 42272}, {7582, 42271}, {7612, 54720}, {7737, 14075}, {7738, 14537}, {7750, 32868}, {7753, 43619}, {7788, 32822}, {7811, 52713}, {7967, 28164}, {8227, 50815}, {8716, 23334}, {9541, 43789}, {9681, 43570}, {9741, 32479}, {9880, 35021}, {10147, 43409}, {10148, 43410}, {10155, 54494}, {10595, 50811}, {10645, 43231}, {10646, 43230}, {10653, 42140}, {10654, 42141}, {10721, 24981}, {10723, 12243}, {11178, 55613}, {11179, 29323}, {11180, 29181}, {11645, 50974}, {12117, 39838}, {12245, 28198}, {12383, 56567}, {12512, 50870}, {12699, 20057}, {12816, 42152}, {12817, 42149}, {12818, 31412}, {12819, 42561}, {12820, 42430}, {12821, 42429}, {13202, 20125}, {13846, 23253}, {13847, 23263}, {13925, 43560}, {13993, 43561}, {14226, 23261}, {14241, 23251}, {14458, 60636}, {14488, 54616}, {14810, 50956}, {14912, 20583}, {14927, 20423}, {15808, 38021}, {16261, 36987}, {16267, 33604}, {16268, 33605}, {16644, 52079}, {16645, 52080}, {16964, 42514}, {16965, 42515}, {18405, 50709}, {18440, 54174}, {18553, 50994}, {18842, 52519}, {18843, 60127}, {19053, 35821}, {19054, 35820}, {19106, 37640}, {19107, 37641}, {19116, 43520}, {19117, 43519}, {19875, 50866}, {19924, 51023}, {20049, 28224}, {20050, 28204}, {20070, 50798}, {21356, 48873}, {21358, 51167}, {22236, 49825}, {22238, 49824}, {22505, 52695}, {22615, 42414}, {22644, 42413}, {22793, 38314}, {23249, 41945}, {23259, 41946}, {23267, 42263}, {23269, 32787}, {23273, 42264}, {23275, 32788}, {25055, 50819}, {25406, 55707}, {26883, 43572}, {28146, 34632}, {28154, 59387}, {28174, 31145}, {28178, 34718}, {28182, 59417}, {29317, 54170}, {31423, 50803}, {31663, 50799}, {31670, 55715}, {31672, 60983}, {31673, 38074}, {32532, 60337}, {32823, 59634}, {32826, 37671}, {33698, 53103}, {33706, 52854}, {34089, 43254}, {34091, 43255}, {35242, 38076}, {35822, 42275}, {35823, 42276}, {36836, 43501}, {36843, 43502}, {36967, 42105}, {36968, 42104}, {36969, 42119}, {36970, 42120}, {36990, 50967}, {38064, 48895}, {38741, 41135}, {39884, 51216}, {40330, 50965}, {40693, 42635}, {40694, 42636}, {41100, 42160}, {41101, 42161}, {41107, 43486}, {41108, 43485}, {41112, 42157}, {41113, 42158}, {41119, 43201}, {41120, 43202}, {41943, 42099}, {41944, 42100}, {41971, 42900}, {41972, 42901}, {42085, 42629}, {42086, 42630}, {42087, 43403}, {42088, 43404}, {42096, 42941}, {42097, 42940}, {42101, 42625}, {42102, 42626}, {42103, 42528}, {42106, 42529}, {42108, 42155}, {42109, 42154}, {42117, 43111}, {42118, 43110}, {42130, 42986}, {42131, 42987}, {42133, 42586}, {42134, 42587}, {42144, 42974}, {42145, 42975}, {42150, 42973}, {42151, 42972}, {42159, 42938}, {42162, 42939}, {42164, 49827}, {42165, 49826}, {42274, 43518}, {42277, 43517}, {42283, 43510}, {42284, 43509}, {42431, 42588}, {42432, 42589}, {42433, 42495}, {42434, 42494}, {42510, 43633}, {42511, 43632}, {42545, 42612}, {42546, 42613}, {42608, 43413}, {42609, 43414}, {42633, 43243}, {42634, 43242}, {42817, 43473}, {42818, 43474}, {42888, 42983}, {42889, 42982}, {42910, 43293}, {42911, 43292}, {42912, 43540}, {42913, 43541}, {42958, 54479}, {42959, 54480}, {43008, 43492}, {43009, 43491}, {43100, 43446}, {43107, 43447}, {43273, 51163}, {43444, 54576}, {43445, 54577}, {43463, 43873}, {43464, 43874}, {43571, 60302}, {43636, 43771}, {43637, 43772}, {43676, 54612}, {43790, 53519}, {44882, 51026}, {46027, 54036}, {46264, 55712}, {46267, 48898}, {46453, 53419}, {46847, 54041}, {47352, 50975}, {47354, 48872}, {48476, 49092}, {48477, 49093}, {48661, 50872}, {48662, 51215}, {48884, 54173}, {48901, 51029}, {48942, 50977}, {50809, 53620}, {50821, 50867}, {50828, 50874}, {50955, 61044}, {50979, 51213}, {50983, 51164}, {50990, 52987}, {51043, 51063}, {51044, 52852}, {51120, 61296}, {51130, 55711}, {51134, 55671}, {51143, 55626}, {51178, 55722}, {53100, 54637}, {53102, 54707}, {53105, 60185}, {53109, 54523}, {60132, 60143}, {60142, 60284}, {60150, 60219}, {60281, 60330}

X(62042) = midpoint of X(i) and X(j) for these {i,j}: {3146, 15640}, {11001, 11541}
X(62042) = reflection of X(i) in X(j) for these {i,j}: {1350, 51022}, {1657, 3845}, {11001, 4}, {12117, 39838}, {12243, 10723}, {12245, 50864}, {12512, 50870}, {14927, 20423}, {15640, 5073}, {15681, 15687}, {15682, 3146}, {15683, 381}, {15685, 5}, {15704, 12101}, {17800, 8703}, {2, 382}, {20, 3830}, {20070, 50798}, {20423, 48904}, {376, 3543}, {3529, 2}, {3534, 3627}, {3543, 15684}, {3654, 33697}, {33706, 52854}, {39874, 54132}, {4, 15682}, {40, 50862}, {4297, 50869}, {43273, 51163}, {44882, 51026}, {48872, 47354}, {5059, 3534}, {5476, 48943}, {50810, 5691}, {50811, 51118}, {50818, 962}, {50872, 48661}, {50967, 36990}, {50974, 51212}, {50977, 48942}, {5984, 12355}, {51043, 51063}, {51044, 52852}, {51178, 55722}, {51179, 5921}, {51215, 48662}, {54036, 46027}, {54132, 48910}, {54173, 48884}, {54174, 18440}, {6241, 21969}, {6776, 51024}, {61044, 50955}, {61296, 51120}, {944, 50865}
X(62042) = inverse of X(44267) in anticomplementary circle
X(62042) = inverse of X(61967) in orthocentroidal circle
X(62042) = inverse of X(61967) in Yff hyperbola
X(62042) = complement of X(62166)
X(62042) = anticomplement of X(15681)
X(62042) = pole of line {523, 44267} with respect to the anticomplementary circle
X(62042) = pole of line {523, 61967} with respect to the orthocentroidal circle
X(62042) = pole of line {185, 61945} with respect to the Jerabek hyperbola
X(62042) = pole of line {6, 51129} with respect to the Kiepert hyperbola
X(62042) = pole of line {523, 61967} with respect to the Yff hyperbola
X(62042) = pole of line {69, 15688} with respect to the Wallace hyperbola
X(62042) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15688)}}, {{A, B, C, X(265), X(15685)}}, {{A, B, C, X(297), X(60631)}}, {{A, B, C, X(468), X(60322)}}, {{A, B, C, X(1138), X(13473)}}, {{A, B, C, X(1494), X(3529)}}, {{A, B, C, X(1597), X(14487)}}, {{A, B, C, X(3524), X(18847)}}, {{A, B, C, X(3525), X(18848)}}, {{A, B, C, X(3528), X(18846)}}, {{A, B, C, X(3544), X(18851)}}, {{A, B, C, X(4232), X(54845)}}, {{A, B, C, X(4846), X(15694)}}, {{A, B, C, X(5067), X(18849)}}, {{A, B, C, X(5071), X(18850)}}, {{A, B, C, X(7409), X(54717)}}, {{A, B, C, X(7486), X(54763)}}, {{A, B, C, X(8797), X(47478)}}, {{A, B, C, X(10303), X(54660)}}, {{A, B, C, X(10304), X(54667)}}, {{A, B, C, X(11331), X(60636)}}, {{A, B, C, X(15022), X(60121)}}, {{A, B, C, X(15683), X(54512)}}, {{A, B, C, X(15687), X(36889)}}, {{A, B, C, X(15692), X(16251)}}, {{A, B, C, X(15710), X(57894)}}, {{A, B, C, X(15715), X(57822)}}, {{A, B, C, X(15717), X(60122)}}, {{A, B, C, X(18852), X(41106)}}, {{A, B, C, X(31361), X(46936)}}, {{A, B, C, X(31371), X(55857)}}, {{A, B, C, X(33287), X(54828)}}, {{A, B, C, X(37174), X(54720)}}, {{A, B, C, X(37453), X(60185)}}, {{A, B, C, X(50692), X(54552)}}, {{A, B, C, X(52284), X(52519)}}, {{A, B, C, X(52301), X(60132)}}, {{A, B, C, X(53857), X(60337)}}
X(62042) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 3530}, {2, 14269, 3855}, {2, 15720, 15709}, {2, 17504, 631}, {2, 20, 15688}, {2, 30, 3529}, {2, 3543, 15687}, {2, 3839, 3851}, {2, 546, 3545}, {2, 550, 15710}, {4, 17538, 5067}, {4, 20, 3525}, {4, 30, 11001}, {4, 3528, 3544}, {5, 14093, 15721}, {5, 30, 15685}, {20, 15705, 15690}, {20, 3854, 3}, {30, 12101, 15704}, {30, 15682, 4}, {30, 15684, 3543}, {30, 15687, 15681}, {30, 3146, 15682}, {30, 3534, 5059}, {30, 3627, 3534}, {30, 381, 15683}, {30, 3845, 1657}, {30, 5073, 15640}, {30, 8703, 17800}, {140, 5079, 17580}, {376, 15698, 14093}, {376, 15715, 3528}, {376, 381, 15702}, {381, 15686, 15692}, {381, 15702, 5071}, {381, 3534, 15718}, {382, 15688, 3830}, {382, 3530, 17578}, {382, 3851, 3627}, {546, 5079, 13587}, {547, 14893, 3856}, {631, 3861, 6977}, {1656, 15690, 15705}, {1657, 15694, 15691}, {1657, 17578, 3090}, {3146, 3543, 15684}, {3522, 5055, 15719}, {3524, 11001, 17538}, {3534, 10304, 16434}, {3534, 3627, 3839}, {3534, 3851, 17504}, {3543, 15683, 381}, {3543, 5059, 547}, {3830, 15688, 546}, {3845, 15691, 15694}, {5054, 12101, 3832}, {5054, 15704, 15697}, {5066, 15714, 15723}, {5076, 15689, 5066}, {6895, 13741, 7406}, {10304, 15691, 376}, {10304, 17578, 3845}, {11001, 11541, 30}, {11111, 14093, 10299}, {11541, 15682, 3524}, {11645, 51212, 50974}, {11737, 15687, 14269}, {11737, 15700, 2}, {12101, 15704, 5054}, {12102, 15696, 5068}, {14093, 15721, 15698}, {14269, 15681, 15700}, {14269, 15700, 11737}, {14890, 17504, 15707}, {15681, 15684, 382}, {15681, 15700, 550}, {15683, 15692, 15686}, {15689, 15723, 15714}, {15691, 15694, 10304}, {15694, 15716, 549}, {15695, 15699, 15717}, {15700, 15710, 15715}, {15714, 15723, 3523}, {16239, 17800, 20}, {18586, 18587, 12102}, {21356, 48873, 50966}, {38314, 50873, 22793}, {42133, 42943, 43543}, {42134, 42942, 43542}, {42150, 42973, 49813}, {42151, 42972, 49812}, {42528, 43400, 42103}, {42529, 43399, 42106}, {43256, 43522, 43387}, {43257, 43521, 43386}, {43797, 43798, 6}, {51029, 59373, 48901}

X(62043) = X(2)X(3)∩X(13)X(43636)

X(62043) lies on circumconic {{A, B, C, X(41987), X(54924)}} and on these lines: {2, 3}, {13, 43636}, {14, 43637}, {597, 48943}, {1699, 50832}, {3625, 28198}, {3630, 19924}, {4668, 61253}, {4669, 28146}, {4677, 61246}, {5050, 51029}, {5318, 42976}, {5321, 42977}, {5476, 51135}, {6144, 43621}, {6199, 43521}, {6395, 43522}, {6480, 43380}, {6481, 43381}, {9693, 60303}, {10246, 50873}, {12816, 42087}, {12817, 42088}, {19106, 42633}, {19107, 42634}, {22165, 29317}, {26446, 50866}, {28150, 50814}, {28154, 38127}, {28158, 38112}, {28160, 51082}, {28164, 61283}, {28168, 50824}, {28172, 51103}, {28174, 50817}, {28178, 37712}, {28186, 51093}, {28190, 50865}, {28194, 61245}, {28208, 61295}, {28216, 50864}, {29012, 51136}, {29323, 50979}, {31162, 61281}, {34628, 61277}, {35255, 43503}, {35256, 43504}, {35820, 42417}, {35821, 42418}, {37832, 54591}, {37835, 54592}, {40273, 51105}, {41100, 42145}, {41101, 42144}, {41107, 42109}, {41108, 42108}, {41112, 42096}, {41113, 42097}, {41119, 42122}, {41120, 42123}, {41121, 42693}, {41122, 42692}, {41869, 61292}, {42101, 42928}, {42102, 42929}, {42104, 49906}, {42105, 49905}, {42112, 43416}, {42113, 43417}, {42121, 42429}, {42124, 42430}, {42126, 49875}, {42127, 49876}, {42130, 49813}, {42131, 49812}, {42136, 49948}, {42137, 49947}, {42140, 42514}, {42141, 42515}, {42159, 42586}, {42162, 42587}, {42262, 43563}, {42265, 43562}, {42283, 42640}, {42284, 42639}, {42502, 43550}, {42503, 43551}, {42506, 43022}, {42507, 43023}, {42510, 43631}, {42511, 43630}, {42528, 43476}, {42529, 43475}, {42940, 46334}, {42941, 46335}, {42942, 44015}, {42943, 44016}, {43006, 43235}, {43007, 43234}, {43209, 53520}, {43210, 53517}, {43318, 53130}, {43319, 53131}, {43418, 43500}, {43419, 43499}, {43491, 61719}, {48874, 50991}, {48942, 54169}, {50811, 61280}, {50822, 59387}, {50863, 59503}, {50874, 61270}, {50987, 53023}, {51066, 61257}, {51080, 51709}, {51705, 61273}

X(62043) = midpoint of X(i) and X(j) for these {i,j}: {11541, 15681}
X(62043) = reflection of X(i) in X(j) for these {i,j}: {1657, 14893}, {11001, 12101}, {15681, 3853}, {15683, 546}, {15685, 5066}, {15686, 3627}, {15704, 15687}, {3529, 547}, {3627, 15684}, {3845, 15682}, {549, 382}, {550, 3543}, {5059, 15691}, {597, 48943}, {54169, 48942}
X(62043) = complement of X(62167)
X(62043) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15689}, {2, 15693, 14890}, {2, 15706, 11812}, {2, 3830, 14893}, {2, 3843, 5066}, {2, 8703, 15712}, {4, 14093, 14892}, {5, 17504, 10124}, {30, 12101, 11001}, {30, 14893, 1657}, {30, 15682, 3845}, {30, 15684, 3627}, {30, 15687, 15704}, {30, 15691, 5059}, {30, 3543, 550}, {30, 3627, 15686}, {30, 3853, 15681}, {30, 5066, 15685}, {30, 546, 15683}, {30, 547, 3529}, {376, 3830, 3860}, {376, 3854, 5054}, {382, 11001, 12101}, {550, 3627, 3843}, {1657, 3627, 5}, {3090, 15689, 14891}, {3090, 3843, 3850}, {3534, 3845, 15713}, {3543, 5054, 12102}, {3850, 14893, 3839}, {3853, 15681, 15699}, {3854, 16239, 6855}, {3860, 5066, 3854}, {5059, 14269, 15691}, {8703, 14869, 15711}, {10124, 12100, 15701}, {11001, 12101, 549}, {11541, 15681, 30}, {11812, 12812, 2}, {12102, 12103, 3090}, {14269, 15691, 632}, {15684, 15689, 382}, {15687, 15704, 11539}, {15690, 17504, 8703}

X(62044) = X(2)X(3)∩X(15)X(43325)

X(62044) lies on these lines: {2, 3}, {15, 43325}, {16, 43324}, {61, 42109}, {62, 42108}, {141, 55617}, {185, 16982}, {373, 55286}, {395, 43330}, {396, 43331}, {397, 43009}, {398, 43008}, {486, 17852}, {575, 51163}, {946, 58232}, {952, 58245}, {1353, 48910}, {1483, 16189}, {1503, 55721}, {1994, 52100}, {3592, 42275}, {3594, 42276}, {3626, 28150}, {3629, 29012}, {3631, 39884}, {3632, 28174}, {3636, 22793}, {3818, 55611}, {5237, 42135}, {5238, 42138}, {5351, 42101}, {5352, 42102}, {5365, 42497}, {5366, 42496}, {5480, 55704}, {5690, 28154}, {5691, 28182}, {5886, 58229}, {6154, 38629}, {6329, 48901}, {6361, 59400}, {6419, 42225}, {6420, 42226}, {6425, 22644}, {6426, 22615}, {6429, 43337}, {6430, 43336}, {6447, 23249}, {6448, 23259}, {6519, 13925}, {6522, 13993}, {6564, 41948}, {6565, 41947}, {7982, 28186}, {7991, 28178}, {8981, 41961}, {9579, 15935}, {10147, 12818}, {10148, 12819}, {10222, 28164}, {10386, 12943}, {10627, 32062}, {11008, 55724}, {11455, 31834}, {11477, 43621}, {11482, 14927}, {11801, 15021}, {12699, 61283}, {13391, 45187}, {13491, 16625}, {13846, 43523}, {13847, 43524}, {13903, 43507}, {13961, 43508}, {13966, 41962}, {14023, 53143}, {14641, 15012}, {14677, 36253}, {14881, 32523}, {15025, 38788}, {15044, 61548}, {15048, 41940}, {15178, 51118}, {15808, 38034}, {15860, 42459}, {16241, 43231}, {16242, 43230}, {16808, 42947}, {16809, 42946}, {16964, 42613}, {16965, 42612}, {18358, 55614}, {18381, 50709}, {18483, 31666}, {19116, 42264}, {19117, 42263}, {20054, 58249}, {20190, 38136}, {21357, 32340}, {21850, 22330}, {22234, 48904}, {22236, 42112}, {22238, 42113}, {22505, 35022}, {22515, 35021}, {22791, 28168}, {22799, 35023}, {24981, 38632}, {28158, 33697}, {28172, 34773}, {28202, 34641}, {29181, 55583}, {29317, 55588}, {31425, 50799}, {31652, 53418}, {31670, 53858}, {31673, 38112}, {32789, 43312}, {32790, 43313}, {34153, 38791}, {34573, 55652}, {34584, 38626}, {34628, 61278}, {34747, 61297}, {34754, 42781}, {34755, 42782}, {36836, 42105}, {36843, 42104}, {36987, 45958}, {37832, 42798}, {37835, 42797}, {38110, 48896}, {40107, 51022}, {41963, 42639}, {41964, 42640}, {41977, 42814}, {41978, 42813}, {42096, 42161}, {42097, 42160}, {42099, 42166}, {42100, 42163}, {42117, 42165}, {42118, 42164}, {42119, 42889}, {42120, 42888}, {42122, 42162}, {42123, 42159}, {42126, 42416}, {42127, 42415}, {42133, 42917}, {42134, 42916}, {42140, 42923}, {42141, 42922}, {42147, 42779}, {42148, 42780}, {42153, 43420}, {42154, 43111}, {42155, 43110}, {42156, 43421}, {42157, 42633}, {42158, 42634}, {42266, 53513}, {42267, 53516}, {42268, 43315}, {42269, 43314}, {42545, 42990}, {42546, 42991}, {42793, 49908}, {42794, 49907}, {42938, 42943}, {42939, 42942}, {42940, 43633}, {42941, 43632}, {42958, 43476}, {42959, 43475}, {42978, 43247}, {42979, 43246}, {42988, 43634}, {42989, 43635}, {43193, 43417}, {43194, 43416}, {43316, 43515}, {43317, 43516}, {43588, 44935}, {43676, 54934}, {44882, 48943}, {45186, 45957}, {46849, 54042}, {48874, 48884}, {48876, 55597}, {48880, 55628}, {48881, 48942}, {48898, 55694}, {48905, 59399}, {50865, 61286}, {51538, 53092}, {53100, 60626}, {53105, 60335}, {53109, 54920}, {55595, 61545}, {58225, 61269}, {60132, 60210}

X(62044) = midpoint of X(i) and X(j) for these {i,j}: {3, 11541}
X(62044) = reflection of X(i) in X(j) for these {i,j}: {1353, 48910}, {1483, 41869}, {1657, 3853}, {15683, 12101}, {15685, 14893}, {15704, 3627}, {17800, 140}, {3529, 546}, {3627, 3146}, {3845, 15684}, {44755, 53779}, {44882, 48943}, {45957, 45186}, {48874, 48884}, {48881, 48942}, {48906, 48904}, {549, 15682}, {550, 382}, {5059, 548}
X(62044) = complement of X(49139)
X(62044) = anticomplement of X(62151)
X(62044) = pole of line {185, 12811} with respect to the Jerabek hyperbola
X(62044) = pole of line {69, 55630} with respect to the Wallace hyperbola
X(62044) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1105), X(12811)}}, {{A, B, C, X(3521), X(35018)}}, {{A, B, C, X(5054), X(18848)}}, {{A, B, C, X(15682), X(18296)}}, {{A, B, C, X(15706), X(60122)}}, {{A, B, C, X(16835), X(47486)}}, {{A, B, C, X(32533), X(49135)}}, {{A, B, C, X(37453), X(60335)}}, {{A, B, C, X(46848), X(52294)}}
X(62044) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 11541, 30}, {3, 12102, 3857}, {3, 12811, 632}, {3, 15022, 140}, {3, 4, 12811}, {4, 15696, 547}, {4, 20, 5054}, {4, 5054, 3859}, {4, 5070, 3860}, {5, 550, 17504}, {20, 3533, 15695}, {20, 3845, 15712}, {20, 5076, 3628}, {30, 12101, 15683}, {30, 140, 17800}, {30, 14893, 15685}, {30, 15684, 3845}, {30, 3146, 3627}, {30, 3627, 15704}, {30, 3853, 1657}, {30, 546, 3529}, {30, 548, 5059}, {382, 15681, 4}, {382, 15720, 3830}, {382, 1657, 14269}, {382, 17800, 3855}, {382, 5059, 11737}, {382, 550, 15687}, {546, 3530, 5079}, {548, 11737, 15720}, {548, 3830, 3858}, {548, 3858, 11539}, {549, 3845, 14892}, {550, 3530, 8703}, {1657, 14269, 3528}, {1657, 15682, 3853}, {1657, 15695, 20}, {2043, 2044, 15706}, {2049, 5079, 1656}, {3091, 3146, 15682}, {3146, 3529, 382}, {3523, 6958, 548}, {3526, 5070, 16351}, {3529, 3855, 17538}, {3529, 5079, 12103}, {3534, 17578, 3850}, {3534, 6848, 5066}, {3544, 10299, 16857}, {3544, 13587, 3851}, {3627, 15704, 5}, {3627, 3845, 5076}, {3627, 3857, 12102}, {3856, 15691, 3523}, {5054, 5070, 3533}, {5056, 7377, 3545}, {5076, 15695, 3091}, {5079, 15694, 6933}, {8703, 11539, 15692}, {12103, 12811, 3}, {14869, 15687, 546}, {14869, 15704, 550}, {14892, 15695, 549}, {15156, 15157, 2070}, {15687, 15704, 14869}, {15692, 15720, 3530}, {29012, 53779, 44755}, {42108, 43106, 42630}, {42109, 43105, 42629}, {42112, 42137, 43630}, {42112, 43630, 43647}, {42113, 42136, 43631}, {42113, 43631, 43648}

X(62045) = X(2)X(3)∩X(6)X(43310)

X(62045) lies on these lines: {2, 3}, {6, 43310}, {15, 42587}, {16, 42586}, {40, 50797}, {355, 50814}, {599, 55596}, {946, 51080}, {1327, 13903}, {1328, 13961}, {1350, 50954}, {1351, 51136}, {1352, 50970}, {1482, 51082}, {1587, 42537}, {1588, 42538}, {3068, 43321}, {3069, 43320}, {3241, 28190}, {3655, 28172}, {3679, 28154}, {4297, 50806}, {4746, 12702}, {4816, 18525}, {5339, 46334}, {5340, 46335}, {5480, 51135}, {5818, 50867}, {6221, 53517}, {6361, 61253}, {6398, 53520}, {6470, 35820}, {6471, 35821}, {6776, 51172}, {8227, 50874}, {9668, 37602}, {9812, 61280}, {10248, 50819}, {10516, 55630}, {11178, 55615}, {11224, 28160}, {11485, 42898}, {11486, 42899}, {11645, 50962}, {11898, 19924}, {12512, 50799}, {12645, 28198}, {12816, 36836}, {12817, 36843}, {12820, 43199}, {12821, 43200}, {14848, 48905}, {15038, 35237}, {15516, 43273}, {15520, 29323}, {16194, 54047}, {18440, 55585}, {18510, 42276}, {18512, 42275}, {22615, 43209}, {22644, 43210}, {25561, 55638}, {28146, 34718}, {28150, 59503}, {28158, 38127}, {28164, 61287}, {28168, 31162}, {28178, 34627}, {28182, 34632}, {28186, 34748}, {28194, 61244}, {28208, 48661}, {28216, 31145}, {31673, 38066}, {34648, 61257}, {35450, 50709}, {36967, 42817}, {36968, 42818}, {36969, 42130}, {36970, 42131}, {36990, 55590}, {39899, 43621}, {40273, 50873}, {40330, 51217}, {41943, 42094}, {41944, 42093}, {41951, 53131}, {41952, 53130}, {42095, 43400}, {42096, 42974}, {42097, 42975}, {42098, 43399}, {42112, 42815}, {42113, 42816}, {42115, 42692}, {42116, 42693}, {42127, 61719}, {42258, 42572}, {42259, 42573}, {42413, 52047}, {42414, 52048}, {42429, 42996}, {42430, 42997}, {42488, 43475}, {42489, 43476}, {42512, 42684}, {42513, 42685}, {42584, 43404}, {42585, 43403}, {42625, 43373}, {42626, 43372}, {42629, 43245}, {42630, 43244}, {42950, 43294}, {42951, 43295}, {42972, 43193}, {42973, 43194}, {43632, 49947}, {43633, 49948}, {44882, 50963}, {46267, 53023}, {47352, 48896}, {48662, 51175}, {48872, 55608}, {48873, 51022}, {48879, 55634}, {48884, 55601}, {48889, 51167}, {48895, 55689}, {48901, 51173}, {48910, 55716}, {48942, 55625}, {48943, 55696}, {50864, 61246}, {50975, 55692}, {50976, 58445}, {50989, 55588}, {50991, 55602}, {51023, 55584}, {51118, 61277}, {51177, 51732}, {55686, 59411}

X(62045) = midpoint of X(i) and X(j) for these {i,j}: {2, 11541}
X(62045) = reflection of X(i) in X(j) for these {i,j}: {1657, 3830}, {11001, 3627}, {15681, 3543}, {15683, 15687}, {15685, 4}, {17800, 2}, {3, 15682}, {381, 15684}, {3529, 3845}, {3534, 382}, {3830, 3146}, {43273, 48904}, {48873, 51022}, {5059, 8703}, {5073, 15640}, {50805, 48661}, {51175, 48662}, {55584, 51023}
X(62045) = inverse of X(61965) in orthocentroidal circle
X(62045) = inverse of X(61965) in Yff hyperbola
X(62045) = complement of X(62169)
X(62045) = anticomplement of X(44903)
X(62045) = pole of line {523, 61965} with respect to the orthocentroidal circle
X(62045) = pole of line {6, 61965} with respect to the Kiepert hyperbola
X(62045) = pole of line {523, 61965} with respect to the Yff hyperbola
X(62045) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1494), X(17800)}}, {{A, B, C, X(14869), X(18848)}}, {{A, B, C, X(18550), X(38071)}}, {{A, B, C, X(44682), X(60122)}}
X(62045) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11541, 30}, {2, 30, 17800}, {2, 6949, 15690}, {3, 15681, 15691}, {3, 5055, 15713}, {3, 5068, 3526}, {4, 20, 14869}, {4, 30, 15685}, {5, 376, 15718}, {20, 14269, 15693}, {30, 15640, 5073}, {30, 15687, 15683}, {30, 3146, 3830}, {30, 3627, 11001}, {30, 3845, 3529}, {30, 8703, 5059}, {376, 14893, 15703}, {376, 3543, 14893}, {381, 14093, 15723}, {381, 15693, 547}, {381, 15700, 1656}, {1657, 14893, 14093}, {1657, 3146, 382}, {1657, 3830, 5054}, {3091, 15690, 15707}, {3146, 11541, 12103}, {3146, 3839, 15682}, {3523, 3860, 5055}, {3528, 17567, 3530}, {3529, 3845, 15689}, {3545, 15695, 15720}, {3545, 15704, 15695}, {3627, 16239, 4}, {3830, 14269, 12102}, {3830, 15685, 12100}, {3830, 15722, 3845}, {3839, 3855, 3860}, {3861, 15688, 6887}, {5054, 15716, 3523}, {5055, 11001, 15696}, {5071, 15715, 15709}, {10124, 15687, 3839}, {10303, 15677, 15702}, {10304, 12101, 3851}, {11001, 15716, 3534}, {11737, 15681, 15688}, {11737, 15699, 5071}, {12100, 14893, 11737}, {12100, 15686, 376}, {12103, 17800, 1657}, {12812, 15692, 15694}, {14093, 15723, 15700}, {14269, 15681, 15715}, {14269, 15693, 5072}, {14893, 15691, 10124}, {14893, 15703, 381}, {15681, 15684, 3543}, {15682, 15683, 15687}, {15683, 15687, 3}, {15683, 15691, 15681}, {15683, 17578, 15721}, {15685, 15694, 15686}, {15686, 15687, 15699}, {15688, 16239, 15716}, {15699, 15713, 16239}, {28208, 48661, 50805}, {36970, 43637, 43646}, {43310, 43311, 6}

X(62046) = X(2)X(3)∩X(13)X(43327)

X(62046) lies on these lines: {2, 3}, {13, 43327}, {14, 43326}, {165, 50800}, {485, 10145}, {486, 10146}, {519, 58247}, {1327, 41954}, {1328, 17851}, {1482, 51094}, {3629, 43621}, {3632, 28198}, {3636, 58233}, {3654, 28158}, {3656, 28172}, {4677, 28202}, {5093, 29323}, {5318, 49811}, {5321, 49810}, {5334, 43109}, {5335, 43108}, {5339, 42533}, {5340, 42532}, {5418, 43562}, {5420, 43563}, {5790, 50862}, {5886, 50869}, {6472, 41969}, {6473, 41970}, {6474, 22644}, {6475, 22615}, {6500, 42576}, {6501, 42577}, {8148, 28208}, {8976, 12818}, {9690, 13846}, {9691, 23251}, {10175, 50870}, {10247, 28168}, {10248, 38022}, {11178, 55616}, {11485, 41971}, {11486, 41972}, {11645, 44456}, {11648, 21309}, {12017, 48943}, {12816, 42099}, {12817, 42100}, {12819, 13951}, {12820, 42626}, {12821, 42625}, {13665, 43210}, {13785, 43209}, {13847, 43415}, {14561, 51026}, {14848, 51163}, {15533, 55584}, {15534, 29012}, {15655, 18362}, {16962, 42587}, {16963, 42586}, {18487, 38292}, {18510, 43256}, {18512, 43257}, {18525, 34641}, {19106, 49947}, {19107, 49948}, {19569, 22253}, {19924, 40341}, {20054, 58250}, {20583, 31670}, {21358, 48879}, {22246, 44526}, {22793, 51105}, {25406, 51173}, {25561, 55639}, {28146, 50798}, {28160, 51093}, {28164, 51095}, {28178, 50864}, {28186, 50805}, {28232, 50804}, {29317, 50955}, {31884, 50957}, {32479, 51122}, {32900, 41869}, {33602, 42496}, {33603, 42497}, {34595, 58220}, {34628, 37624}, {34748, 48661}, {35822, 42641}, {35823, 42642}, {36521, 38743}, {36523, 38741}, {36967, 49903}, {36968, 49904}, {36969, 42976}, {36970, 42977}, {37832, 43231}, {37835, 43230}, {38034, 50819}, {38072, 48896}, {38136, 50975}, {38138, 50809}, {38140, 50812}, {39593, 43136}, {39884, 50990}, {41100, 42097}, {41101, 42096}, {41112, 42112}, {41113, 42113}, {41119, 42087}, {41120, 42088}, {41121, 42116}, {41122, 42115}, {42093, 42429}, {42094, 42430}, {42107, 42985}, {42108, 42975}, {42109, 42974}, {42110, 42984}, {42117, 49826}, {42118, 49827}, {42122, 49862}, {42123, 49861}, {42126, 43106}, {42127, 43105}, {42130, 42511}, {42131, 42510}, {42136, 49824}, {42137, 49825}, {42140, 49875}, {42141, 49876}, {42225, 42537}, {42226, 42538}, {42258, 43515}, {42259, 43516}, {42271, 42418}, {42272, 42417}, {42419, 42998}, {42420, 42999}, {42431, 42967}, {42432, 42966}, {42504, 42798}, {42505, 42797}, {42509, 61719}, {42514, 43111}, {42515, 43110}, {42520, 43245}, {42521, 43244}, {42526, 52045}, {42527, 52046}, {42631, 43196}, {42632, 43195}, {42635, 43632}, {42636, 43633}, {42918, 51944}, {42919, 51945}, {42972, 43784}, {42973, 43783}, {42986, 43639}, {42987, 43640}, {43014, 43305}, {43015, 43304}, {43207, 43647}, {43208, 43648}, {43336, 53520}, {43337, 53517}, {45384, 53130}, {45385, 53131}, {45879, 49945}, {45880, 49946}, {47101, 53144}, {47353, 55593}, {48873, 50991}, {48884, 55604}, {48901, 51185}, {48904, 53091}, {48942, 55629}, {50797, 51068}, {50806, 51110}, {50954, 50994}, {50963, 55697}, {50993, 55610}, {51088, 61264}, {51187, 55724}, {51189, 52987}, {52047, 52667}, {52048, 52666}, {60132, 60286}

X(62046) = midpoint of X(i) and X(j) for these {i,j}: {3543, 11541}
X(62046) = reflection of X(i) in X(j) for these {i,j}: {1657, 3543}, {15681, 382}, {15683, 3627}, {15684, 5073}, {15685, 3830}, {17800, 381}, {3, 15684}, {381, 3146}, {3529, 15687}, {3534, 15682}, {34748, 48661}, {5059, 549}
X(62046) = inverse of X(61963) in orthocentroidal circle
X(62046) = inverse of X(18571) in Stammler circle
X(62046) = inverse of X(61963) in Yff hyperbola
X(62046) = anticomplement of X(62154)
X(62046) = pole of line {523, 61963} with respect to the orthocentroidal circle
X(62046) = pole of line {523, 18571} with respect to the Stammler circle
X(62046) = pole of line {6, 61963} with respect to the Kiepert hyperbola
X(62046) = pole of line {523, 61963} with respect to the Yff hyperbola
X(62046) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3830), X(57897)}}, {{A, B, C, X(3857), X(54585)}}, {{A, B, C, X(5059), X(18317)}}, {{A, B, C, X(12108), X(18848)}}, {{A, B, C, X(17800), X(54512)}}, {{A, B, C, X(18550), X(41106)}}
X(62046) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10299, 11812}, {2, 15697, 15710}, {2, 3830, 14269}, {2, 5066, 5079}, {2, 8703, 15700}, {3, 11001, 6958}, {4, 15689, 15703}, {4, 20, 12108}, {5, 15697, 15716}, {30, 15687, 3529}, {30, 3543, 1657}, {30, 3627, 15683}, {30, 381, 17800}, {30, 5073, 15684}, {30, 549, 5059}, {381, 3534, 12100}, {381, 5054, 5056}, {381, 550, 15707}, {382, 15688, 15687}, {382, 1657, 546}, {546, 550, 631}, {550, 3853, 3544}, {631, 5068, 3628}, {1657, 3543, 5055}, {1657, 3830, 15722}, {3091, 15691, 15706}, {3528, 11737, 5054}, {3529, 15687, 15688}, {3534, 12100, 15695}, {3534, 3845, 15701}, {3543, 11541, 30}, {3543, 15705, 4}, {3545, 15696, 15718}, {3628, 12100, 15713}, {3830, 15681, 2}, {3830, 15701, 3845}, {3830, 3843, 12101}, {3839, 14093, 5070}, {3839, 15704, 14093}, {3860, 15686, 15698}, {3860, 15698, 1656}, {5055, 15689, 15705}, {5056, 11001, 15690}, {5073, 17800, 3146}, {5079, 17504, 15694}, {8703, 12101, 5068}, {10109, 12100, 11539}, {11001, 12100, 3534}, {11001, 17800, 15685}, {12101, 15759, 6959}, {14269, 15681, 3}, {14269, 15684, 382}, {15154, 15155, 18571}, {15681, 15707, 550}, {15684, 15685, 3830}, {15687, 15688, 3851}, {15687, 15715, 381}, {15695, 17800, 11001}, {15707, 17800, 15681}

X(62047) = X(2)X(3)∩X(17)X(42693)

X(62047) lies on these lines: {2, 3}, {17, 42693}, {18, 42692}, {141, 55619}, {397, 42144}, {398, 42145}, {576, 51180}, {1353, 55717}, {1483, 28164}, {1503, 55723}, {3818, 55613}, {5270, 10386}, {5339, 42113}, {5340, 42112}, {5343, 42131}, {5344, 42130}, {5349, 42100}, {5350, 42099}, {5480, 55702}, {5493, 28154}, {5690, 28158}, {5691, 59400}, {5882, 28168}, {6200, 43786}, {6221, 42570}, {6361, 61251}, {6396, 43785}, {6398, 42571}, {6407, 43507}, {6408, 43508}, {6435, 42225}, {6436, 42226}, {6437, 43515}, {6438, 43516}, {6459, 6494}, {6460, 6495}, {8550, 29323}, {8960, 53517}, {10283, 51118}, {12002, 46850}, {12244, 13393}, {12279, 14449}, {12699, 61281}, {13598, 45956}, {14845, 55286}, {15800, 20585}, {16772, 42430}, {16773, 42429}, {16808, 43873}, {16809, 43874}, {16964, 42994}, {16965, 42995}, {18481, 61280}, {18538, 42568}, {18553, 48874}, {18762, 42569}, {18907, 34571}, {19106, 43630}, {19107, 43631}, {19116, 42271}, {19117, 42272}, {21850, 55714}, {22791, 28172}, {25555, 48943}, {26861, 46851}, {28146, 37705}, {28174, 61244}, {28178, 61246}, {28182, 37712}, {28186, 61296}, {28190, 61292}, {28208, 61297}, {28216, 61245}, {29012, 55719}, {29181, 55581}, {29317, 55586}, {31663, 61260}, {33697, 38138}, {34507, 55589}, {34786, 50709}, {36967, 42909}, {36968, 42908}, {38022, 50869}, {38079, 51026}, {38081, 50862}, {38083, 50870}, {38136, 48896}, {39884, 55592}, {40273, 61275}, {41869, 61287}, {41973, 44018}, {41974, 44017}, {42085, 42922}, {42086, 42923}, {42087, 42916}, {42088, 42917}, {42096, 42925}, {42097, 42924}, {42108, 42158}, {42109, 42157}, {42117, 42431}, {42118, 42432}, {42119, 43647}, {42120, 43648}, {42126, 43769}, {42127, 43770}, {42136, 42151}, {42137, 42150}, {42149, 42584}, {42152, 42585}, {42160, 42634}, {42161, 42633}, {42694, 43200}, {42695, 43199}, {42906, 42961}, {42907, 42960}, {42940, 42993}, {42941, 42992}, {42964, 43244}, {42965, 43245}, {43336, 43571}, {43337, 43570}, {43401, 43632}, {43402, 43633}, {44882, 55700}, {45185, 51491}, {48661, 61295}, {48876, 55598}, {48881, 55621}, {48884, 55605}, {48901, 55707}, {48904, 55712}, {48906, 55713}, {50981, 55637}, {51022, 55606}, {51135, 51181}, {51143, 55628}, {51163, 55709}, {51178, 55724}, {53520, 58866}

X(62047) = midpoint of X(i) and X(j) for these {i,j}: {382, 11541}
X(62047) = reflection of X(i) in X(j) for these {i,j}: {12279, 14449}, {15686, 15682}, {15704, 382}, {17800, 546}, {3529, 3853}, {5, 3146}, {5059, 140}, {61295, 48661}, {8703, 15684}
X(62047) = complement of X(62170)
X(62047) = anticomplement of X(58203)
X(62047) = pole of line {185, 61940} with respect to the Jerabek hyperbola
X(62047) = pole of line {69, 55628} with respect to the Wallace hyperbola
X(62047) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3519), X(44245)}}, {{A, B, C, X(3521), X(12812)}}, {{A, B, C, X(6662), X(38335)}}, {{A, B, C, X(14861), X(14869)}}, {{A, B, C, X(15681), X(52441)}}, {{A, B, C, X(15716), X(60122)}}, {{A, B, C, X(15720), X(18848)}}, {{A, B, C, X(26861), X(46853)}}, {{A, B, C, X(26863), X(46851)}}, {{A, B, C, X(51348), X(58208)}}
X(62047) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14893, 5}, {4, 15720, 3850}, {4, 20, 15720}, {5, 15022, 6846}, {5, 15704, 376}, {5, 3525, 15699}, {5, 8703, 12108}, {20, 15687, 632}, {20, 3544, 14093}, {30, 140, 5059}, {30, 15682, 15686}, {30, 15684, 8703}, {30, 3853, 3529}, {30, 546, 17800}, {140, 11737, 1656}, {140, 15704, 550}, {140, 3850, 5055}, {140, 5059, 15704}, {376, 382, 12102}, {376, 5054, 15759}, {376, 5055, 12100}, {376, 5059, 1657}, {382, 11541, 30}, {382, 15685, 3091}, {382, 15704, 3845}, {382, 17800, 5067}, {382, 3529, 11737}, {382, 3845, 3627}, {548, 3860, 3525}, {550, 3627, 3858}, {550, 3858, 549}, {1656, 15717, 140}, {1657, 3523, 12103}, {1657, 3830, 3523}, {1657, 5073, 3146}, {2043, 2044, 15716}, {3149, 11001, 631}, {3528, 12811, 15713}, {3529, 15684, 3853}, {3529, 15702, 20}, {3534, 3861, 14869}, {3853, 12108, 3839}, {3853, 8703, 3857}, {3856, 12102, 14893}, {5076, 11001, 3530}, {6907, 15696, 3528}, {11541, 15640, 382}, {12102, 15696, 6824}, {15681, 17578, 3628}, {15682, 17800, 546}

X(62048) = X(2)X(3)∩X(13)X(43325)

X(62048) lies on these lines: {2, 3}, {13, 43325}, {14, 43324}, {355, 50863}, {395, 42586}, {396, 42587}, {515, 20049}, {516, 31145}, {542, 35369}, {946, 50873}, {962, 51077}, {1151, 43560}, {1152, 43561}, {1351, 51211}, {1352, 51216}, {1494, 52443}, {2794, 8596}, {3068, 42540}, {3069, 42539}, {3241, 16191}, {3424, 60635}, {3621, 28194}, {3623, 41869}, {3679, 28158}, {5032, 14927}, {5343, 42510}, {5344, 42511}, {5355, 43618}, {5365, 16963}, {5366, 16962}, {5480, 51029}, {5493, 51072}, {5691, 50801}, {5921, 19924}, {6459, 43519}, {6460, 43520}, {6486, 43568}, {6487, 43569}, {7583, 43521}, {7584, 43522}, {7750, 32894}, {7809, 32841}, {7860, 32896}, {7917, 32840}, {7987, 50874}, {8972, 41952}, {9530, 20218}, {9543, 23251}, {9778, 34648}, {9812, 34628}, {9956, 50813}, {10248, 25055}, {10721, 56567}, {11057, 32826}, {11160, 29181}, {11180, 29317}, {11645, 51028}, {12279, 21969}, {13941, 41951}, {14831, 16981}, {14907, 32893}, {14930, 44526}, {16192, 50803}, {16226, 52093}, {16964, 49875}, {16965, 49876}, {18583, 51177}, {18845, 54522}, {19053, 42271}, {19054, 42272}, {19876, 59420}, {19925, 50866}, {20014, 28204}, {20052, 28202}, {20070, 47745}, {21356, 48872}, {23253, 53130}, {23263, 53131}, {23269, 52047}, {23275, 52048}, {24206, 50969}, {28146, 34627}, {28150, 34632}, {28154, 59417}, {28172, 31162}, {28182, 34718}, {28186, 34631}, {28198, 50804}, {28208, 50872}, {31454, 60291}, {32006, 32879}, {32062, 33884}, {32064, 50709}, {32787, 42413}, {32788, 42414}, {32810, 51953}, {32811, 51952}, {32819, 32882}, {32835, 48913}, {33697, 38074}, {35255, 42604}, {35256, 42605}, {35820, 43257}, {35821, 43256}, {36990, 50958}, {37640, 42109}, {37641, 42108}, {38076, 46931}, {38314, 51075}, {39838, 52695}, {41107, 43009}, {41108, 43008}, {41112, 43632}, {41113, 43633}, {41119, 43013}, {41120, 43012}, {41895, 54921}, {41943, 42430}, {41944, 42429}, {41945, 52667}, {41946, 52666}, {41949, 42283}, {41950, 42284}, {42085, 42799}, {42086, 42800}, {42087, 43421}, {42088, 43420}, {42089, 43400}, {42092, 43399}, {42099, 43403}, {42100, 43404}, {42119, 43401}, {42120, 43402}, {42126, 43481}, {42127, 43482}, {42139, 43478}, {42142, 43477}, {42149, 54594}, {42150, 49825}, {42151, 49824}, {42152, 54593}, {42154, 43465}, {42155, 43466}, {42160, 46334}, {42161, 46335}, {42431, 49826}, {42432, 49827}, {42520, 42965}, {42521, 42964}, {42528, 43490}, {42529, 43489}, {42635, 42890}, {42636, 42891}, {42688, 43110}, {42689, 43111}, {42785, 46267}, {42894, 43203}, {42895, 43204}, {42898, 43496}, {42899, 43495}, {42908, 49904}, {42909, 49903}, {42942, 43332}, {42943, 43333}, {42962, 43554}, {42963, 43555}, {42974, 43243}, {42975, 43242}, {43193, 43774}, {43194, 43773}, {43201, 49905}, {43202, 49906}, {43209, 43511}, {43210, 43512}, {43228, 43252}, {43229, 43253}, {43238, 54581}, {43239, 54580}, {43334, 43636}, {43335, 43637}, {43338, 60300}, {43339, 60299}, {43566, 60311}, {43567, 60312}, {43621, 54132}, {43951, 60648}, {47352, 51026}, {48661, 50818}, {48662, 51179}, {48885, 50956}, {48896, 50975}, {48904, 51213}, {48910, 51170}, {50862, 53620}, {50960, 55651}, {50965, 51537}, {51023, 61044}, {51130, 51163}, {51132, 51212}, {51164, 53094}, {52835, 59375}, {54706, 60238}, {60147, 60628}, {60216, 60324}, {60277, 60327}, {60283, 60328}

X(62048) = midpoint of X(i) and X(j) for these {i,j}: {11541, 15682}
X(62048) = reflection of X(i) in X(j) for these {i,j}: {11001, 382}, {12279, 21969}, {14927, 51024}, {15682, 5073}, {15683, 3543}, {15685, 3627}, {17800, 3845}, {2, 3146}, {20, 15682}, {20070, 50864}, {376, 15684}, {3146, 15640}, {3529, 3830}, {48872, 51022}, {5059, 2}, {50818, 48661}, {51179, 48662}, {54132, 43621}, {61044, 51023}
X(62048) = inverse of X(61962) in orthocentroidal circle
X(62048) = inverse of X(61962) in Yff hyperbola
X(62048) = anticomplement of X(15683)
X(62048) = pole of line {523, 61962} with respect to the orthocentroidal circle
X(62048) = pole of line {6, 51131} with respect to the Kiepert hyperbola
X(62048) = pole of line {525, 44565} with respect to the Steiner circumellipse
X(62048) = pole of line {523, 61962} with respect to the Yff hyperbola
X(62048) = pole of line {69, 50971} with respect to the Wallace hyperbola
X(62048) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(30), X(52443)}}, {{A, B, C, X(547), X(18850)}}, {{A, B, C, X(549), X(16251)}}, {{A, B, C, X(1494), X(5059)}}, {{A, B, C, X(3346), X(49136)}}, {{A, B, C, X(4846), X(10124)}}, {{A, B, C, X(15022), X(31361)}}, {{A, B, C, X(15351), X(44346)}}, {{A, B, C, X(15696), X(18846)}}, {{A, B, C, X(15710), X(18847)}}, {{A, B, C, X(33703), X(54552)}}, {{A, B, C, X(44335), X(53201)}}, {{A, B, C, X(52283), X(60635)}}, {{A, B, C, X(52290), X(54921)}}, {{A, B, C, X(52299), X(54522)}}, {{A, B, C, X(60122), X(61138)}}
X(62048) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15699, 17697}, {2, 30, 5059}, {4, 11001, 15710}, {4, 3529, 15696}, {4, 376, 547}, {13, 43325, 43331}, {14, 43324, 43330}, {20, 3090, 3522}, {20, 3627, 5068}, {20, 3861, 15717}, {20, 5067, 7397}, {20, 5073, 3146}, {30, 3543, 15683}, {30, 3627, 15685}, {30, 382, 11001}, {30, 3830, 3529}, {30, 3845, 17800}, {30, 5073, 15682}, {140, 381, 5071}, {376, 15702, 15714}, {376, 381, 15721}, {376, 5071, 15700}, {376, 547, 15692}, {381, 15681, 8703}, {381, 15685, 15691}, {381, 15689, 549}, {381, 15703, 14892}, {381, 15716, 15703}, {550, 14892, 15716}, {1657, 3545, 15697}, {3090, 11001, 15689}, {3090, 12101, 3839}, {3091, 3534, 15705}, {3146, 15683, 3543}, {3146, 3522, 382}, {3146, 5059, 17578}, {3524, 15682, 3627}, {3534, 14893, 15702}, {3543, 15686, 3832}, {3543, 15692, 4}, {3627, 15685, 3524}, {3843, 15690, 15709}, {3861, 15701, 3545}, {8703, 12811, 5054}, {8703, 15699, 3530}, {11001, 15682, 12101}, {11001, 15689, 20}, {11001, 15710, 12103}, {11541, 15682, 30}, {12101, 15689, 3090}, {14891, 15687, 381}, {14893, 15702, 3091}, {14927, 51024, 5032}, {15022, 15708, 2}, {15681, 15696, 15686}, {15686, 15700, 376}, {15696, 15719, 10304}, {25055, 50869, 10248}

X(62049) = X(2)X(3)∩X(40)X(51067)

X(62049) lies on these lines: {2, 3}, {40, 51067}, {395, 33603}, {396, 33602}, {397, 42509}, {398, 42508}, {516, 50817}, {519, 28647}, {944, 51097}, {1285, 11648}, {1350, 51142}, {1503, 51178}, {1587, 42417}, {1588, 42418}, {1699, 50819}, {1992, 43621}, {3576, 50869}, {3653, 10248}, {4669, 6361}, {4745, 61256}, {5085, 51026}, {5476, 51029}, {5485, 54612}, {5657, 50862}, {5818, 34638}, {6490, 9541}, {6491, 14226}, {6560, 42538}, {6561, 42537}, {7581, 42576}, {7582, 42577}, {7967, 28172}, {8584, 48910}, {9741, 44678}, {9778, 61257}, {9812, 61279}, {9880, 41151}, {10164, 50870}, {10519, 51022}, {10595, 34628}, {10653, 42589}, {10654, 42588}, {10722, 15300}, {11057, 52713}, {11480, 43554}, {11481, 43555}, {11488, 12816}, {11489, 12817}, {12112, 37672}, {12245, 28202}, {13846, 41961}, {13847, 41962}, {14458, 60627}, {14912, 51024}, {15534, 39874}, {18538, 43566}, {18762, 43567}, {18842, 54707}, {19053, 42276}, {19054, 42275}, {19106, 42511}, {19107, 42510}, {19924, 50992}, {20070, 61246}, {21356, 48884}, {22615, 42571}, {22644, 42570}, {23249, 42572}, {23259, 42573}, {23267, 43257}, {23269, 41945}, {23273, 43256}, {23275, 41946}, {28146, 50864}, {28150, 37712}, {28154, 59388}, {28158, 50814}, {28160, 50818}, {28164, 51082}, {28168, 61287}, {28182, 50798}, {28186, 50872}, {28198, 61244}, {28232, 50871}, {29012, 50974}, {29181, 50973}, {29317, 51023}, {31162, 51107}, {31673, 51066}, {32532, 60185}, {32787, 43521}, {32788, 43522}, {32819, 32892}, {33623, 49911}, {33625, 49914}, {33697, 53620}, {34631, 51096}, {35822, 42413}, {35823, 42414}, {36967, 49862}, {36968, 49861}, {36969, 49813}, {36970, 49812}, {36990, 51189}, {37640, 42112}, {37641, 42113}, {38127, 61254}, {41107, 42141}, {41108, 42140}, {41112, 42119}, {41113, 42120}, {41119, 44015}, {41120, 44016}, {41121, 42105}, {41122, 42104}, {41149, 51136}, {41150, 51080}, {41152, 47353}, {41153, 51135}, {41869, 51071}, {42087, 43542}, {42088, 43543}, {42089, 43003}, {42090, 49907}, {42091, 49908}, {42092, 43002}, {42093, 42792}, {42094, 42791}, {42096, 43228}, {42097, 43229}, {42122, 43540}, {42123, 43541}, {42133, 49906}, {42134, 49905}, {42149, 43202}, {42150, 42506}, {42151, 42507}, {42152, 43201}, {42154, 49826}, {42155, 49827}, {42419, 43465}, {42420, 43466}, {42532, 43632}, {42533, 43633}, {42557, 43375}, {42558, 43374}, {42692, 43494}, {42693, 43493}, {42940, 49824}, {42941, 49825}, {42942, 49874}, {42943, 49873}, {43338, 60621}, {43339, 60620}, {43401, 49947}, {43402, 49948}, {43509, 43536}, {43510, 53519}, {43770, 61719}, {48881, 51186}, {50809, 59387}, {50811, 51104}, {50813, 50866}, {50816, 54447}, {50828, 61271}, {50873, 51709}, {50967, 50989}, {50969, 51167}, {50975, 53023}, {51074, 58221}, {51092, 61292}, {51106, 51118}, {51129, 55673}, {51705, 61274}, {53103, 54647}, {54477, 60629}, {54523, 60281}, {54582, 60616}, {54637, 60150}, {54667, 54710}, {54788, 54947}, {54797, 54827}, {60127, 60284}

X(62049) = reflection of X(i) in X(j) for these {i,j}: {1992, 43621}, {11001, 15682}, {15682, 15640}, {15683, 382}, {17800, 15687}, {20, 15684}, {376, 3146}, {3529, 3543}, {3543, 5073}, {5059, 381}
X(62049) = inverse of X(61961) in orthocentroidal circle
X(62049) = inverse of X(61961) in Yff hyperbola
X(62049) = anticomplement of X(15685)
X(62049) = pole of line {523, 61961} with respect to the orthocentroidal circle
X(62049) = pole of line {6, 61961} with respect to the Kiepert hyperbola
X(62049) = pole of line {523, 61961} with respect to the Yff hyperbola
X(62049) = pole of line {69, 15695} with respect to the Wallace hyperbola
X(62049) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15695)}}, {{A, B, C, X(3522), X(54667)}}, {{A, B, C, X(3854), X(54585)}}, {{A, B, C, X(4232), X(54612)}}, {{A, B, C, X(5059), X(54512)}}, {{A, B, C, X(5068), X(54838)}}, {{A, B, C, X(11331), X(60627)}}, {{A, B, C, X(12101), X(36889)}}, {{A, B, C, X(14863), X(50691)}}, {{A, B, C, X(15708), X(16251)}}, {{A, B, C, X(18317), X(49137)}}, {{A, B, C, X(18847), X(19708)}}, {{A, B, C, X(32533), X(35407)}}, {{A, B, C, X(50689), X(54924)}}, {{A, B, C, X(52284), X(54707)}}, {{A, B, C, X(53857), X(60185)}}
X(62049) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15695, 15698}, {2, 15697, 15759}, {2, 15716, 631}, {2, 15759, 15719}, {2, 17566, 475}, {2, 20, 15695}, {2, 3543, 12101}, {4, 6968, 548}, {5, 5073, 3146}, {20, 5076, 3533}, {30, 15640, 15682}, {30, 15682, 11001}, {30, 15684, 20}, {30, 15687, 17800}, {30, 3543, 3529}, {30, 381, 5059}, {30, 382, 15683}, {30, 5073, 3543}, {376, 15682, 3830}, {376, 3545, 3523}, {376, 3839, 3525}, {381, 12103, 15705}, {395, 33603, 33605}, {396, 33602, 33604}, {1657, 3830, 12100}, {3091, 15686, 15710}, {3146, 3523, 382}, {3522, 3543, 14269}, {3523, 14893, 3545}, {3524, 11001, 3534}, {3529, 3543, 3524}, {3534, 11812, 3522}, {3534, 12101, 2}, {3534, 14269, 11812}, {3534, 15694, 8703}, {3534, 3830, 5}, {3543, 15683, 15694}, {3545, 15683, 17538}, {3545, 17538, 15715}, {3545, 3628, 5071}, {3830, 5054, 3845}, {3843, 15691, 15708}, {3845, 8703, 3628}, {3854, 10304, 10124}, {4220, 15675, 15701}, {11001, 15682, 4}, {12102, 15703, 3839}, {12103, 15705, 376}, {15697, 15719, 3528}, {15698, 15719, 15712}

X(62050) = X(2)X(3)∩X(516)X(50804)

X(62050) lies on these lines: {2, 3}, {516, 50804}, {599, 55598}, {1503, 51174}, {3633, 28208}, {4677, 28146}, {5050, 51130}, {6144, 11645}, {6200, 42526}, {6396, 42527}, {6435, 42263}, {6436, 42264}, {6494, 42272}, {6495, 42271}, {8976, 42525}, {9690, 43507}, {10246, 51075}, {11178, 55619}, {11898, 55581}, {12645, 28202}, {12816, 42430}, {12817, 42429}, {13951, 42524}, {14075, 39593}, {14848, 48904}, {15533, 29317}, {15534, 55719}, {16808, 42504}, {16809, 42505}, {18440, 55586}, {19106, 42506}, {19107, 42507}, {22566, 52886}, {28150, 50798}, {28158, 50801}, {28160, 50805}, {28164, 51077}, {28172, 51071}, {28182, 50864}, {29012, 50962}, {29181, 50961}, {29323, 55717}, {32455, 43621}, {36990, 55592}, {37832, 43471}, {37835, 43472}, {38176, 50797}, {41100, 42126}, {41101, 42127}, {41107, 42096}, {41108, 42097}, {41112, 42109}, {41113, 42108}, {42087, 42502}, {42088, 42503}, {42093, 42631}, {42094, 42632}, {42095, 43476}, {42098, 43475}, {42099, 49905}, {42100, 49906}, {42117, 42588}, {42118, 42589}, {42122, 49874}, {42123, 49873}, {42125, 43782}, {42128, 43781}, {42130, 49947}, {42131, 49948}, {42136, 49812}, {42137, 49813}, {42144, 49876}, {42145, 49875}, {42215, 42537}, {42216, 42538}, {42275, 42417}, {42276, 42418}, {42510, 42816}, {42511, 42815}, {42528, 54592}, {42529, 54591}, {42586, 42801}, {42587, 42802}, {42608, 53130}, {42609, 53131}, {42817, 42903}, {42818, 42902}, {42912, 43771}, {42913, 43772}, {42928, 49908}, {42929, 49907}, {42942, 49860}, {42943, 49859}, {42968, 43245}, {42969, 43244}, {42974, 46335}, {42975, 46334}, {42976, 43194}, {42977, 43193}, {43226, 51945}, {43227, 51944}, {43273, 55713}, {43415, 43508}, {43418, 43636}, {43419, 43637}, {43525, 53520}, {43526, 53517}, {47352, 48943}, {48661, 51093}, {48662, 50992}, {48872, 55605}, {48874, 50994}, {48884, 55609}, {48905, 55712}, {48910, 55715}, {50816, 61263}, {50954, 55599}, {50956, 55643}, {50990, 55593}, {51022, 55610}, {51143, 55629}, {51173, 51185}, {51186, 55621}, {54131, 55714}

X(62050) = reflection of X(i) in X(j) for these {i,j}: {1657, 15684}, {15681, 3146}, {15685, 15682}, {17800, 3543}, {381, 5073}, {3830, 15640}, {5059, 15687}
X(62050) = anticomplement of X(62157)
X(62050) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3859), X(54585)}}, {{A, B, C, X(18317), X(49138)}}, {{A, B, C, X(49137), X(54512)}}
X(62050) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 14891, 15701}, {2, 3534, 14093}, {20, 14891, 15689}, {20, 15682, 12101}, {30, 15640, 3830}, {30, 15682, 15685}, {30, 15687, 5059}, {30, 3146, 15681}, {30, 3543, 17800}, {140, 15022, 5070}, {140, 15714, 3524}, {140, 8703, 15698}, {381, 15688, 140}, {381, 15691, 15700}, {381, 3524, 1656}, {381, 3534, 15716}, {382, 1657, 5072}, {548, 3845, 2}, {548, 3850, 14869}, {1656, 3146, 382}, {1657, 15706, 15686}, {3534, 15700, 15695}, {3627, 15686, 14892}, {3627, 15712, 3861}, {3830, 11001, 15693}, {5072, 14093, 5054}, {5073, 15685, 15682}, {5073, 15689, 15684}, {6890, 15682, 547}, {11001, 15693, 3534}, {11737, 17504, 5084}, {11812, 15691, 8703}, {12101, 12811, 3845}, {12101, 15701, 381}, {14269, 15683, 15696}, {14269, 15696, 15723}, {14892, 15689, 15706}, {15640, 15697, 3146}, {15684, 15689, 3627}, {15684, 15718, 3543}, {15685, 15701, 20}, {15718, 17538, 15688}, {17538, 17800, 1657}

X(62051) = X(2)X(3)∩X(6)X(42537)

X(62051) lies on these lines: {2, 3}, {6, 42537}, {61, 43252}, {62, 43253}, {516, 50838}, {519, 58248}, {551, 58231}, {590, 43566}, {615, 43567}, {962, 51092}, {1131, 6429}, {1132, 6430}, {1327, 6480}, {1328, 6481}, {1503, 51214}, {3621, 28198}, {3623, 58237}, {3654, 50863}, {3817, 50874}, {4669, 28158}, {4677, 20070}, {5032, 48910}, {5334, 43233}, {5335, 43232}, {5343, 42507}, {5344, 42506}, {5587, 50867}, {5603, 58234}, {6200, 42604}, {6221, 42540}, {6396, 42605}, {6398, 42539}, {6431, 42417}, {6432, 42418}, {6433, 53518}, {6434, 53519}, {6437, 43210}, {6438, 43209}, {6445, 43536}, {6446, 54597}, {6453, 60291}, {6454, 60292}, {6482, 43794}, {6483, 43793}, {6484, 23253}, {6485, 23263}, {7802, 32874}, {8584, 14927}, {8972, 43887}, {9541, 43791}, {9543, 22644}, {9589, 51096}, {9778, 50862}, {9812, 51103}, {10139, 23251}, {10140, 23261}, {10516, 51217}, {10653, 44018}, {10654, 44017}, {11160, 55582}, {11180, 55587}, {13665, 43321}, {13785, 43320}, {13846, 43507}, {13847, 43508}, {13941, 43888}, {14853, 51213}, {14930, 43619}, {15533, 61044}, {15534, 51166}, {16200, 28172}, {16267, 43556}, {16268, 43557}, {18581, 43553}, {18582, 43552}, {19106, 42976}, {19107, 42977}, {19924, 20080}, {20049, 28208}, {21356, 55607}, {22165, 51025}, {28150, 50864}, {28154, 50810}, {28160, 50872}, {28164, 51093}, {28190, 50818}, {29012, 51028}, {29181, 50992}, {29317, 54174}, {29323, 54132}, {32787, 43889}, {32788, 43890}, {33534, 34545}, {33602, 42912}, {33603, 42913}, {34754, 41112}, {34755, 41113}, {36324, 44667}, {36326, 44666}, {36836, 43201}, {36843, 43202}, {36967, 49874}, {36968, 49873}, {36969, 49811}, {36970, 49810}, {36990, 50990}, {38155, 51068}, {41100, 42113}, {41101, 42112}, {41107, 43245}, {41108, 43244}, {41119, 42099}, {41120, 42100}, {42085, 49826}, {42086, 49827}, {42087, 43540}, {42088, 43541}, {42090, 43199}, {42091, 43200}, {42108, 49948}, {42109, 49947}, {42126, 43109}, {42127, 43108}, {42140, 43229}, {42141, 43228}, {42154, 42588}, {42155, 42589}, {42160, 42533}, {42161, 42532}, {42215, 43797}, {42216, 43798}, {42260, 43560}, {42261, 43561}, {42429, 43404}, {42430, 43403}, {42508, 43769}, {42509, 43770}, {42512, 43195}, {42513, 43196}, {42514, 43305}, {42515, 43304}, {42584, 43543}, {42585, 43542}, {42631, 42996}, {42632, 42997}, {42910, 43476}, {42911, 43475}, {42940, 49812}, {42941, 49813}, {42956, 43870}, {42957, 43869}, {43292, 43399}, {43293, 43400}, {43322, 43408}, {43323, 43407}, {43372, 49907}, {43373, 49908}, {43495, 43633}, {43496, 43632}, {43521, 52047}, {43522, 52048}, {43621, 51170}, {43951, 60287}, {44678, 53141}, {46204, 58267}, {47354, 55618}, {48872, 50991}, {49855, 51485}, {49858, 51484}, {50808, 54448}, {50869, 51109}, {50870, 59420}, {50873, 51705}, {50969, 55640}, {50993, 51022}, {51026, 59411}, {51029, 51737}, {51105, 51118}, {51163, 51185}, {51165, 51538}, {51186, 51537}, {51216, 54173}, {54542, 60297}, {54543, 60298}, {54815, 60131}, {60147, 60638}

X(62051) = reflection of X(i) in X(j) for these {i,j}: {15683, 3146}, {2, 15640}, {376, 5073}, {3529, 15684}, {5059, 3543}
X(62051) = anticomplement of X(62160)
X(62051) = pole of line {69, 62099} with respect to the Wallace hyperbola
X(62051) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3858), X(54923)}}, {{A, B, C, X(4846), X(47598)}}, {{A, B, C, X(5054), X(16251)}}, {{A, B, C, X(5073), X(54552)}}, {{A, B, C, X(11001), X(35510)}}, {{A, B, C, X(15699), X(18850)}}, {{A, B, C, X(15749), X(50692)}}, {{A, B, C, X(18317), X(49139)}}, {{A, B, C, X(49138), X(54512)}}
X(62051) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15640, 3146}, {2, 8703, 15717}, {4, 15685, 15697}, {4, 376, 15699}, {20, 15022, 3522}, {20, 17578, 13735}, {20, 3543, 3545}, {20, 3830, 2}, {30, 15684, 3529}, {30, 3146, 15683}, {30, 3543, 5059}, {30, 5073, 376}, {376, 13735, 15705}, {376, 15712, 10304}, {546, 15690, 11812}, {547, 8703, 6863}, {3146, 5059, 3832}, {3146, 5068, 382}, {3525, 3545, 547}, {3529, 15684, 3839}, {3534, 3830, 10109}, {3534, 3845, 15719}, {3543, 15708, 4}, {3543, 3839, 3853}, {3545, 11001, 15690}, {3545, 15688, 15708}, {3545, 15702, 1656}, {3830, 15716, 546}, {3845, 15686, 12100}, {5055, 15686, 13168}, {5073, 15707, 15684}, {6887, 15693, 15694}, {11001, 15682, 3845}, {11001, 15690, 20}, {11001, 15719, 3534}, {12100, 12812, 11540}, {12101, 15681, 15698}, {12101, 15698, 3091}, {14269, 17538, 15721}, {15684, 15702, 3543}, {15685, 15686, 11001}, {15686, 16239, 15688}, {42537, 42538, 6}

X(62052) = X(2)X(3)∩X(15)X(33602)

X(62052) lies on these lines: {2, 3}, {15, 33602}, {16, 33603}, {944, 51095}, {4677, 28150}, {4745, 50809}, {5050, 51213}, {5485, 54934}, {6560, 42537}, {6561, 42538}, {6564, 43799}, {6565, 43800}, {8584, 51176}, {10165, 50874}, {11008, 11645}, {12818, 42638}, {12819, 42637}, {12820, 42142}, {12821, 42139}, {18843, 54734}, {19106, 43331}, {19107, 43330}, {20050, 28208}, {20583, 48910}, {22615, 60306}, {22644, 60305}, {26446, 50867}, {28154, 50864}, {28158, 50810}, {28164, 50818}, {28172, 51094}, {28190, 50872}, {29181, 51179}, {31412, 42525}, {32532, 60335}, {33416, 54576}, {33417, 54577}, {33604, 42912}, {33605, 42913}, {35255, 43566}, {35256, 43567}, {36967, 49860}, {36968, 49859}, {37640, 42514}, {37641, 42515}, {39593, 43618}, {41100, 42140}, {41101, 42141}, {41107, 42112}, {41108, 42113}, {41945, 42641}, {41946, 42642}, {42085, 42588}, {42086, 42589}, {42087, 43332}, {42088, 43333}, {42089, 43476}, {42092, 43475}, {42096, 49876}, {42097, 49875}, {42099, 43542}, {42100, 43543}, {42104, 42631}, {42105, 42632}, {42119, 42532}, {42120, 42533}, {42260, 42608}, {42261, 42609}, {42417, 42576}, {42418, 42577}, {42429, 54594}, {42430, 54593}, {42502, 43421}, {42503, 43420}, {42508, 43106}, {42509, 43105}, {42510, 43324}, {42511, 43325}, {42524, 42561}, {42584, 43541}, {42585, 43540}, {42627, 43552}, {42628, 43553}, {42775, 42947}, {42776, 42946}, {42781, 49947}, {42782, 49948}, {42910, 43003}, {42911, 43002}, {42932, 42962}, {42933, 42963}, {42940, 42987}, {42941, 42986}, {43004, 49862}, {43005, 49861}, {43008, 43769}, {43009, 43770}, {43110, 43466}, {43111, 43465}, {43246, 43364}, {43247, 43365}, {43401, 49825}, {43402, 49824}, {48873, 50994}, {50819, 51108}, {50966, 50991}, {52519, 60283}, {54644, 54720}, {54845, 60216}, {54851, 60219}, {54920, 60281}, {60132, 60641}, {60150, 60626}

X(62052) = reflection of X(i) in X(j) for these {i,j}: {11001, 15640}, {15683, 5073}, {5059, 15684}
X(62052) = anticomplement of X(62163)
X(62052) = pole of line {69, 62101} with respect to the Wallace hyperbola
X(62052) = intersection, other than A, B, C, of circumconics {{A, B, C, X(548), X(54667)}}, {{A, B, C, X(3859), X(18853)}}, {{A, B, C, X(4232), X(54934)}}, {{A, B, C, X(5072), X(54838)}}, {{A, B, C, X(5079), X(18851)}}, {{A, B, C, X(8703), X(18847)}}, {{A, B, C, X(18849), X(55864)}}, {{A, B, C, X(19708), X(57894)}}, {{A, B, C, X(49140), X(54512)}}, {{A, B, C, X(53857), X(60335)}}
X(62052) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15710, 15719}, {2, 3534, 3528}, {4, 11001, 8703}, {4, 12103, 631}, {4, 3525, 3859}, {4, 3528, 5079}, {20, 14269, 15715}, {20, 15709, 376}, {30, 15640, 11001}, {30, 15684, 5059}, {30, 5073, 15683}, {382, 15707, 15687}, {382, 3529, 10299}, {547, 8703, 15693}, {550, 14891, 15688}, {631, 3545, 15703}, {3146, 5059, 7486}, {3528, 15687, 3545}, {3528, 15692, 15710}, {3529, 15682, 2}, {3529, 15710, 15681}, {3543, 15683, 14891}, {3830, 11001, 15698}, {3843, 15685, 3534}, {3857, 6971, 6836}, {5054, 15681, 550}, {5059, 15684, 3524}, {5066, 8703, 5054}, {11001, 15640, 15682}, {12811, 17578, 4}, {15681, 15687, 15692}, {15681, 15688, 12103}, {15682, 15685, 3090}, {15682, 15698, 3830}, {15687, 17504, 3857}

X(62053) = X(2)X(3)∩X(519)X(58249)

X(62053) lies on these lines: {2, 3}, {519, 58249}, {1327, 43523}, {1328, 43524}, {3244, 28172}, {3284, 36431}, {3625, 28150}, {3630, 55584}, {3631, 55593}, {3632, 28146}, {3633, 28160}, {3818, 55620}, {5093, 43621}, {5339, 42436}, {5340, 42435}, {5882, 58236}, {6144, 29012}, {6154, 38756}, {6199, 42272}, {6395, 42271}, {6407, 22644}, {6408, 22615}, {6409, 43881}, {6410, 43882}, {6417, 42275}, {6418, 42276}, {6427, 42263}, {6428, 42264}, {6445, 43879}, {6446, 43880}, {6447, 42266}, {6448, 42267}, {6500, 42225}, {6501, 42226}, {6519, 23251}, {6522, 23261}, {7982, 28168}, {7991, 28154}, {8148, 28164}, {9543, 60289}, {9589, 34748}, {9680, 43786}, {10541, 48896}, {10645, 43471}, {10646, 43472}, {11439, 54047}, {11477, 29323}, {11480, 43195}, {11481, 43196}, {11482, 48910}, {11485, 42629}, {11486, 42630}, {12355, 38627}, {12645, 28182}, {12818, 41950}, {12819, 41949}, {13665, 43515}, {13785, 43516}, {13939, 17851}, {18510, 42414}, {18512, 42413}, {18525, 28158}, {20050, 28186}, {20053, 28174}, {20054, 28212}, {22330, 51024}, {22505, 52886}, {23249, 43321}, {23259, 43320}, {24981, 38790}, {28208, 58245}, {29317, 40341}, {31425, 50866}, {31447, 50800}, {31454, 43570}, {31487, 43210}, {33534, 36753}, {36967, 43546}, {36968, 43547}, {36969, 42802}, {36970, 42801}, {36990, 55595}, {42101, 42956}, {42102, 42957}, {42112, 42165}, {42113, 42164}, {42130, 42161}, {42131, 42160}, {42153, 42429}, {42156, 42430}, {42157, 43305}, {42158, 43304}, {42431, 42612}, {42432, 42613}, {42433, 42996}, {42434, 42997}, {42490, 54591}, {42491, 54592}, {42773, 42984}, {42774, 42985}, {42779, 43232}, {42780, 43233}, {42908, 49906}, {42909, 49905}, {42964, 43499}, {42965, 43500}, {42988, 43401}, {42989, 43402}, {42990, 43310}, {42991, 43311}, {43136, 43618}, {43197, 43473}, {43198, 43474}, {43242, 43648}, {43243, 43647}, {43306, 43487}, {43307, 43488}, {43507, 60309}, {43508, 60310}, {47353, 55597}, {48872, 55602}, {48879, 55626}, {48884, 55614}, {48889, 55641}, {48895, 55684}, {48901, 55701}, {48904, 53093}, {48905, 53092}, {48942, 55637}, {48943, 55687}, {50414, 61721}, {50955, 55588}, {51163, 55705}, {52100, 53779}

X(62053) = reflection of X(i) in X(j) for these {i,j}: {17800, 5073}
X(62053) = inverse of X(37941) in Stammler circle
X(62053) = anticomplement of X(62164)
X(62053) = pole of line {523, 37941} with respect to the Stammler circle
X(62053) = pole of line {185, 61935} with respect to the Jerabek hyperbola
X(62053) = pole of line {69, 55621} with respect to the Wallace hyperbola
X(62053) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3854), X(18550)}}, {{A, B, C, X(12100), X(18848)}}, {{A, B, C, X(21400), X(50691)}}
X(62053) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15686, 15688}, {2, 3528, 15712}, {2, 3843, 3851}, {2, 546, 5072}, {3, 14269, 5079}, {3, 15684, 3627}, {3, 3628, 15701}, {4, 15697, 16239}, {4, 16239, 381}, {4, 20, 12100}, {20, 15687, 15720}, {20, 15710, 550}, {20, 3850, 14093}, {30, 5073, 17800}, {381, 3534, 15705}, {382, 15720, 15687}, {382, 550, 14269}, {546, 632, 3544}, {550, 3855, 15700}, {1657, 14093, 20}, {1657, 15684, 3843}, {1657, 3843, 15689}, {3146, 15704, 5076}, {3146, 3529, 546}, {3146, 5059, 10303}, {3627, 12812, 4}, {3627, 15686, 12812}, {3627, 15704, 12108}, {3830, 15681, 15707}, {3843, 5055, 3850}, {3851, 15707, 5070}, {5055, 12100, 15694}, {5073, 15681, 382}, {5079, 16418, 15703}, {12100, 15699, 15702}, {12108, 15704, 17538}, {12812, 14869, 2}, {14269, 15710, 5055}, {14869, 15688, 3}, {15156, 15157, 18571}, {15640, 15706, 15684}, {15684, 15689, 3830}, {15685, 15688, 15681}, {15689, 17800, 1657}, {15702, 17697, 632}

X(62054) = X(2)X(3)∩X(6)X(41959)

X(62054) lies on these lines: {2, 3}, {6, 41959}, {165, 51085}, {590, 43384}, {615, 43385}, {1992, 55656}, {5032, 55646}, {5603, 58216}, {5731, 50827}, {6200, 43525}, {6396, 43526}, {7782, 32892}, {7988, 51083}, {8584, 55651}, {8589, 14930}, {9541, 43315}, {9542, 52048}, {9778, 51110}, {9779, 51086}, {10653, 42930}, {10654, 42931}, {11179, 55662}, {13607, 51092}, {16192, 51071}, {16966, 43552}, {16967, 43553}, {17502, 50872}, {17508, 51028}, {20070, 51105}, {20423, 55664}, {23269, 42526}, {23275, 42527}, {25055, 58215}, {25406, 50982}, {31884, 51138}, {32785, 43380}, {32786, 43381}, {32789, 43566}, {32790, 43567}, {32874, 43459}, {37640, 42685}, {37641, 42684}, {41112, 43483}, {41113, 43484}, {42085, 43490}, {42086, 43489}, {42090, 43545}, {42091, 43544}, {42107, 54580}, {42110, 54581}, {42119, 43333}, {42120, 43332}, {42149, 43253}, {42152, 43252}, {42508, 42945}, {42509, 42944}, {42510, 42796}, {42511, 42795}, {42518, 43106}, {42519, 43105}, {42528, 49825}, {42529, 49824}, {42631, 49811}, {42632, 49810}, {42686, 49948}, {42687, 49947}, {42799, 43015}, {42800, 43014}, {42896, 42976}, {42897, 42977}, {42902, 43331}, {42903, 43330}, {42964, 43557}, {42965, 43556}, {42982, 43109}, {42983, 43108}, {43226, 54579}, {43227, 54578}, {43334, 43646}, {43335, 43645}, {43338, 52045}, {43339, 52046}, {43869, 49813}, {43870, 49812}, {50829, 54448}, {50966, 55682}, {50967, 55657}, {51087, 59417}, {51103, 58221}, {51140, 55660}, {51170, 55653}, {51185, 61044}, {54132, 55670}, {54170, 55671}, {54173, 55663}, {54174, 55649}, {54521, 60648}, {54522, 54639}, {54644, 60625}, {54645, 60650}, {54851, 60639}, {54866, 60628}, {54921, 60228}, {60175, 60635}, {60216, 60336}, {60283, 60331}, {60311, 60313}, {60312, 60314}

X(62054) = pole of line {69, 62002} with respect to the Wallace hyperbola
X(62054) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3346), X(55861)}}, {{A, B, C, X(18317), X(55860)}}, {{A, B, C, X(35510), X(41099)}}
X(62054) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15697, 3146}, {2, 3830, 5068}, {3, 15710, 15692}, {3, 15714, 3524}, {4, 15709, 547}, {4, 15719, 11540}, {140, 3091, 442}, {376, 14269, 20}, {376, 15706, 10303}, {376, 3524, 1656}, {548, 3845, 3534}, {549, 5072, 15709}, {1006, 5067, 140}, {1656, 3146, 3832}, {1656, 3627, 3855}, {3091, 6836, 382}, {3522, 15717, 15022}, {3528, 14891, 15708}, {3530, 15701, 15719}, {3534, 15701, 5066}, {3534, 15706, 15701}, {3860, 15696, 11001}, {3860, 8703, 15696}, {5054, 15681, 12811}, {5066, 15711, 15706}, {6847, 15640, 17578}, {6889, 11812, 15721}, {8703, 12103, 15695}, {8703, 15711, 3530}, {10299, 14093, 3839}, {10303, 10304, 376}, {10304, 15683, 3522}, {10304, 15692, 4}, {10304, 15698, 2}, {10304, 15717, 15683}, {11001, 15716, 3523}, {15683, 15705, 15717}, {15688, 15721, 5059}, {15693, 15695, 3858}, {15698, 15759, 10304}, {15706, 15711, 15698}, {15706, 17800, 549}, {41959, 41960, 6}

X(62055) = X(2)X(3)∩X(15)X(43002)

X(62055) lies on these lines: {2, 3}, {15, 43002}, {16, 43003}, {40, 51107}, {69, 33608}, {165, 51077}, {1131, 42526}, {1132, 42527}, {1992, 55653}, {3576, 50809}, {5032, 55639}, {5085, 50966}, {5210, 14482}, {5731, 50804}, {6361, 51110}, {6480, 43525}, {6481, 43526}, {8584, 55646}, {9540, 42418}, {9812, 51084}, {10164, 50819}, {10519, 50989}, {11179, 55659}, {12117, 41147}, {12245, 51096}, {13935, 42417}, {14912, 55657}, {15023, 56567}, {15534, 55656}, {16192, 51097}, {16241, 42588}, {16242, 42589}, {16772, 42508}, {16773, 42509}, {19053, 42525}, {19054, 42524}, {20423, 55667}, {21167, 50975}, {21969, 55166}, {25406, 50961}, {31663, 34631}, {31730, 58215}, {31884, 51132}, {33602, 46334}, {33603, 46335}, {33750, 50974}, {35242, 51071}, {35255, 43386}, {35256, 43387}, {38064, 55666}, {38738, 41154}, {39874, 50994}, {41100, 52080}, {41101, 52079}, {41107, 43777}, {41108, 43778}, {41112, 43004}, {41113, 43005}, {41119, 43463}, {41120, 43464}, {41121, 43771}, {41122, 43772}, {41149, 50967}, {41150, 50808}, {41152, 43273}, {41153, 50965}, {42472, 42514}, {42473, 42515}, {42502, 43193}, {42503, 43194}, {42504, 49811}, {42505, 49810}, {42528, 43542}, {42529, 43543}, {42625, 49825}, {42626, 49824}, {42631, 43481}, {42632, 43482}, {42805, 42977}, {42806, 42976}, {42936, 43201}, {42937, 43202}, {42986, 49826}, {42987, 49827}, {43026, 43770}, {43027, 43769}, {43326, 51916}, {43327, 51915}, {43370, 43781}, {43371, 43782}, {43428, 49875}, {43429, 49876}, {43509, 53131}, {43510, 53130}, {50810, 51091}, {50811, 51070}, {50813, 51075}, {50958, 51177}, {50969, 51130}, {50992, 55661}, {51028, 55682}, {51137, 51538}, {51138, 55618}, {51179, 51187}, {51188, 54169}, {51709, 58216}, {54132, 55673}, {54170, 55674}, {54173, 55660}, {54174, 55643}, {55672, 59373}, {60150, 60286}

X(62055) = midpoint of X(i) and X(j) for these {i,j}: {376, 3533}
X(62055) = reflection of X(i) in X(j) for these {i,j}: {2, 15722}
X(62055) = anticomplement of X(61929)
X(62055) = pole of line {69, 12101} with respect to the Wallace hyperbola
X(62055) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(12101)}}, {{A, B, C, X(15721), X(18852)}}, {{A, B, C, X(18317), X(55857)}}, {{A, B, C, X(46412), X(55862)}}
X(62055) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15695}, {2, 12103, 6848}, {2, 20, 12101}, {3, 10304, 15715}, {3, 15710, 376}, {3, 15714, 10304}, {140, 15692, 3524}, {140, 3857, 5070}, {140, 8703, 3534}, {376, 10299, 15709}, {376, 15698, 15719}, {376, 3524, 3090}, {376, 3533, 30}, {381, 15707, 140}, {631, 3529, 5056}, {631, 3544, 3533}, {3146, 15692, 15707}, {3146, 5056, 3843}, {3522, 17504, 15702}, {3524, 8703, 15682}, {3528, 15692, 3545}, {3534, 15693, 15703}, {3854, 16418, 7486}, {8703, 10109, 15689}, {8703, 12100, 381}, {8703, 14891, 15701}, {8703, 15701, 20}, {10109, 15693, 15721}, {10304, 12100, 11001}, {10304, 15692, 3146}, {10304, 15705, 11539}, {10304, 15715, 631}, {11001, 15715, 12100}, {11539, 12100, 15693}, {12100, 15695, 2}, {12100, 15715, 15698}, {15688, 15717, 5071}, {15689, 15693, 10109}, {15689, 15721, 4}, {15698, 15719, 10299}, {33608, 33609, 69}, {42631, 49862, 43481}, {42632, 49861, 43482}

X(62056) = X(2)X(3)∩X(193)X(55656)

X(62056) lies on these lines: {2, 3}, {193, 55656}, {395, 43253}, {396, 43252}, {1125, 58215}, {1992, 55651}, {3241, 16192}, {3616, 58217}, {3619, 50971}, {3622, 50808}, {3623, 35242}, {3624, 50816}, {3655, 20014}, {3656, 58219}, {4678, 50811}, {4772, 51042}, {5032, 31884}, {5092, 51028}, {5304, 5585}, {5351, 42521}, {5352, 42520}, {5550, 34638}, {5965, 33750}, {6055, 35369}, {6410, 9543}, {6411, 41961}, {6412, 41962}, {6776, 55662}, {7771, 32874}, {7782, 32869}, {7811, 32841}, {9780, 50815}, {10168, 50969}, {10519, 55663}, {11057, 32835}, {11179, 55658}, {11480, 42516}, {11481, 42517}, {11693, 15036}, {12017, 50966}, {13624, 50872}, {14482, 15603}, {14810, 54174}, {14853, 55664}, {14930, 53095}, {16226, 16981}, {19883, 58213}, {20049, 51705}, {20057, 50814}, {20080, 54169}, {20423, 55668}, {20583, 55622}, {22052, 36427}, {22235, 42518}, {22237, 42519}, {28228, 38314}, {28232, 54445}, {32785, 42540}, {32786, 42539}, {32810, 51952}, {32811, 51953}, {33748, 55643}, {34628, 46933}, {34648, 46931}, {36836, 43002}, {36843, 43003}, {38064, 55667}, {38068, 54448}, {41977, 49876}, {41978, 49875}, {42095, 43553}, {42098, 43552}, {42119, 42778}, {42120, 42777}, {42433, 49825}, {42434, 49824}, {42522, 52048}, {42523, 52047}, {42582, 43566}, {42583, 43567}, {42588, 43238}, {42589, 43239}, {42682, 43202}, {42683, 43201}, {42888, 42985}, {42889, 42984}, {42942, 43870}, {42943, 43869}, {42944, 43237}, {42945, 43236}, {43209, 43519}, {43210, 43520}, {46932, 50829}, {47355, 50972}, {50832, 58224}, {50965, 51171}, {50967, 55653}, {51073, 51081}, {51104, 58229}, {51138, 55607}, {51170, 55646}, {52443, 57822}, {54132, 55674}, {54170, 55676}, {54173, 55659}, {55671, 61044}, {55673, 59373}

X(62056) = midpoint of X(i) and X(j) for these {i,j}: {1656, 15689}, {3545, 17538}, {5054, 15695}, {10304, 15692}
X(62056) = reflection of X(i) in X(j) for these {i,j}: {15693, 17504}, {3522, 10304}, {3545, 15694}, {3843, 15699}, {5054, 15712}, {5071, 5054}
X(62056) = anticomplement of X(61930)
X(62056) = pole of line {69, 62005} with respect to the Wallace hyperbola
X(62056) = intersection, other than A, B, C, of circumconics {{A, B, C, X(381), X(52443)}}, {{A, B, C, X(3346), X(55857)}}, {{A, B, C, X(5059), X(57822)}}, {{A, B, C, X(46412), X(55866)}}
X(62056) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 376, 5059}, {3, 10304, 15705}, {3, 14093, 15711}, {3, 15710, 10304}, {3, 8703, 15715}, {20, 3523, 3628}, {20, 3851, 3146}, {30, 15694, 3545}, {30, 15699, 3843}, {30, 15712, 5054}, {30, 17504, 15693}, {140, 376, 15640}, {376, 11541, 3534}, {376, 3524, 5055}, {376, 3845, 20}, {376, 5067, 15685}, {381, 3860, 6906}, {382, 15693, 15694}, {548, 15716, 15702}, {549, 15685, 5067}, {549, 6949, 7486}, {631, 14093, 15697}, {631, 17538, 3858}, {3091, 5059, 17578}, {3146, 3522, 15696}, {3522, 15717, 3091}, {3524, 15688, 3839}, {3524, 5055, 15708}, {3528, 15709, 15689}, {3534, 10299, 15721}, {3534, 11737, 11541}, {3534, 15721, 3832}, {3545, 15706, 3523}, {3545, 15715, 15706}, {3839, 10304, 15688}, {3861, 12100, 549}, {5055, 17504, 3524}, {5071, 15698, 15712}, {5076, 14093, 15695}, {6908, 15689, 15707}, {8703, 15694, 17538}, {10304, 15692, 30}, {10304, 15705, 2}, {10304, 15706, 15683}, {10304, 15708, 376}, {11001, 15700, 10303}, {12100, 15689, 15709}, {14093, 15697, 3522}, {14093, 15711, 631}, {15689, 15709, 3543}, {15690, 15718, 3090}, {15692, 15693, 15717}, {15693, 15695, 3845}, {15694, 15715, 15692}, {15695, 15712, 5071}, {15705, 15717, 17504}

X(62057) = X(2)X(3)∩X(511)X(51181)

X(62057) lies on these lines: {2, 3}, {511, 51181}, {515, 50826}, {516, 50833}, {524, 55658}, {551, 58219}, {597, 55668}, {1353, 55655}, {1503, 50981}, {3098, 20583}, {3622, 58220}, {3629, 55653}, {3654, 61294}, {4297, 38081}, {4669, 50822}, {5032, 55632}, {6329, 55672}, {6409, 43258}, {6410, 43259}, {6411, 52048}, {6412, 52047}, {6437, 43525}, {6438, 43526}, {8584, 14810}, {8981, 42418}, {10172, 51081}, {10283, 50808}, {10645, 42792}, {10646, 42791}, {11230, 50816}, {12512, 38022}, {13966, 42417}, {15534, 51180}, {15808, 28198}, {16192, 51094}, {16241, 43631}, {16242, 43630}, {17502, 50832}, {17508, 50987}, {19053, 42644}, {19054, 42643}, {21850, 55665}, {22165, 51184}, {28154, 51083}, {28164, 51088}, {28174, 51110}, {28190, 50820}, {28216, 50813}, {28224, 51068}, {29181, 50988}, {31663, 51071}, {33750, 50992}, {34641, 34773}, {37705, 38098}, {38034, 51084}, {38042, 50815}, {38110, 55664}, {38136, 51137}, {38176, 51080}, {38317, 50972}, {41149, 55652}, {41957, 41966}, {41958, 41965}, {42115, 43003}, {42116, 43002}, {42121, 43419}, {42122, 49906}, {42123, 49905}, {42124, 43418}, {42149, 42509}, {42152, 42508}, {42157, 42503}, {42158, 42502}, {42415, 42975}, {42416, 42974}, {42506, 42945}, {42507, 42944}, {42510, 42633}, {42511, 42634}, {42528, 43106}, {42529, 43105}, {42602, 42641}, {42603, 42642}, {42612, 42898}, {42613, 42899}, {42631, 42916}, {42632, 42917}, {42904, 51915}, {42905, 51916}, {42922, 43109}, {42923, 43108}, {43006, 43228}, {43007, 43229}, {43101, 43196}, {43104, 43195}, {43110, 49948}, {43111, 49947}, {43197, 43481}, {43198, 43482}, {43639, 49876}, {43640, 49875}, {48874, 55666}, {48876, 55662}, {48906, 55661}, {50809, 58230}, {50811, 59400}, {50824, 51095}, {50831, 51705}, {50965, 55670}, {50966, 55697}, {50970, 55640}, {50978, 55660}, {50979, 55649}, {50980, 51143}, {50983, 55667}, {50986, 51737}, {51072, 61245}, {51109, 58216}, {51132, 55627}, {51138, 55603}, {51183, 54173}, {54169, 55659}

X(62057) = midpoint of X(i) and X(j) for these {i,j}: {376, 3526}, {3528, 15700}
X(62057) = reflection of X(i) in X(j) for these {i,j}: {14869, 15700}, {15687, 3851}, {15701, 12100}, {5, 15702}
X(62057) = complement of X(62000)
X(62057) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5066), X(57897)}}, {{A, B, C, X(18317), X(55856)}}
X(62057) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 14269}, {2, 15640, 3855}, {2, 15707, 11812}, {2, 382, 5066}, {2, 3830, 11737}, {3, 10304, 14891}, {3, 14093, 15705}, {3, 15688, 15715}, {3, 8703, 15711}, {30, 12100, 15701}, {30, 15700, 14869}, {30, 3851, 15687}, {140, 17800, 6911}, {376, 15707, 546}, {376, 15712, 15699}, {376, 3524, 5056}, {550, 15720, 3858}, {550, 632, 382}, {3522, 15706, 547}, {3524, 15686, 632}, {3526, 15700, 15707}, {3528, 15700, 30}, {3534, 15713, 3845}, {3534, 15719, 10109}, {5054, 15697, 12101}, {5059, 10299, 15720}, {5066, 15695, 15686}, {8703, 15686, 15695}, {8703, 15713, 3534}, {8703, 15714, 15759}, {10109, 12100, 15719}, {10109, 15719, 15713}, {10299, 10304, 15681}, {10299, 14891, 17504}, {10304, 14891, 5}, {10304, 15690, 8703}, {10304, 15692, 5059}, {10304, 15693, 15690}, {11540, 12100, 15693}, {11540, 14891, 12100}, {11540, 15690, 15682}, {11737, 15720, 11539}, {11812, 15716, 15712}, {12100, 15690, 11540}, {12101, 15697, 15704}, {14093, 15705, 140}, {14869, 17504, 15700}, {15681, 15693, 2}, {15681, 15700, 15702}, {15687, 15688, 550}, {15687, 17504, 3530}, {15688, 15700, 3851}, {15689, 15717, 10124}, {15696, 15708, 14893}, {15699, 15712, 549}

X(62058) = X(2)X(3)∩X(40)X(51085)

X(62058) lies on these lines: {2, 3}, {40, 51085}, {69, 55661}, {165, 34631}, {182, 50966}, {371, 43525}, {372, 43526}, {542, 52886}, {944, 50827}, {1151, 41970}, {1152, 41969}, {1285, 8589}, {1350, 51138}, {1385, 50809}, {1699, 58213}, {1992, 55649}, {3618, 55665}, {3633, 51705}, {3653, 58219}, {3654, 20053}, {5032, 55629}, {5237, 43003}, {5238, 43002}, {5343, 43100}, {5344, 43107}, {5418, 43536}, {5420, 54597}, {5550, 58214}, {5585, 46453}, {5818, 50815}, {6144, 51737}, {6454, 9693}, {6496, 52048}, {6497, 52047}, {6684, 50819}, {6776, 50982}, {7788, 32876}, {8227, 50816}, {8252, 43788}, {8253, 43787}, {8584, 55641}, {8976, 60299}, {9540, 43386}, {10385, 59319}, {10595, 50808}, {10645, 42796}, {10646, 42795}, {10653, 43493}, {10654, 43494}, {11179, 55657}, {11488, 44019}, {11489, 44020}, {11693, 15023}, {12007, 50967}, {13347, 13482}, {13607, 16192}, {13935, 43387}, {13951, 60300}, {14482, 15655}, {14692, 52695}, {14912, 55654}, {15051, 56567}, {17502, 34632}, {17508, 54170}, {20423, 55669}, {20583, 55618}, {21356, 51177}, {23267, 41956}, {23269, 41952}, {23273, 41955}, {23275, 41951}, {25055, 50813}, {25406, 55660}, {31447, 51068}, {32000, 57896}, {32455, 55646}, {32787, 43338}, {32788, 43339}, {32875, 59634}, {33604, 42433}, {33605, 42434}, {33750, 54169}, {35814, 42638}, {35815, 42637}, {38064, 55668}, {40330, 50971}, {41100, 42802}, {41101, 42801}, {41119, 42965}, {41120, 42964}, {41943, 42120}, {41944, 42119}, {41945, 43510}, {41946, 43509}, {41953, 43375}, {41954, 43374}, {41971, 42929}, {41972, 42928}, {42085, 43545}, {42086, 43544}, {42133, 42587}, {42134, 42586}, {42488, 43201}, {42489, 43202}, {42490, 49874}, {42491, 49873}, {42496, 42968}, {42497, 42969}, {42514, 42596}, {42515, 42597}, {42528, 43483}, {42529, 43484}, {42539, 43882}, {42540, 43881}, {42588, 43783}, {42589, 43784}, {42602, 43336}, {42603, 43337}, {42625, 43542}, {42626, 43543}, {42694, 43444}, {42695, 43445}, {42898, 49875}, {42899, 49876}, {42944, 49827}, {42945, 49826}, {43521, 60309}, {43522, 60310}, {43568, 60289}, {43569, 60290}, {43879, 60303}, {43880, 60304}, {45522, 48781}, {45523, 48780}, {46267, 51212}, {47352, 50969}, {48661, 50833}, {48662, 50981}, {48876, 51176}, {48920, 51029}, {50965, 55671}, {50974, 55659}, {50979, 55648}, {51132, 55622}, {51140, 55655}, {53103, 60630}, {54132, 55676}, {54173, 55658}, {54174, 55639}, {54523, 60649}, {54852, 60183}, {55674, 59373}, {60143, 60323}, {60185, 60250}, {60325, 60643}

X(62058) = anticomplement of X(61931)
X(62058) = pole of line {69, 38335} with respect to the Wallace hyperbola
X(62058) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(38335)}}, {{A, B, C, X(3545), X(57896)}}, {{A, B, C, X(7408), X(54852)}}, {{A, B, C, X(8797), X(45757)}}, {{A, B, C, X(13623), X(14269)}}, {{A, B, C, X(18535), X(43713)}}, {{A, B, C, X(46412), X(55859)}}, {{A, B, C, X(52301), X(60323)}}
X(62058) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 14093, 376}, {3, 10304, 15698}, {3, 14093, 14891}, {3, 15688, 15711}, {3, 15759, 10304}, {3, 376, 15715}, {3, 8703, 15705}, {4, 10303, 5067}, {4, 548, 17538}, {20, 17504, 15719}, {376, 15692, 15702}, {376, 3524, 5071}, {376, 3529, 15691}, {376, 631, 3543}, {548, 15712, 5072}, {549, 14891, 15706}, {549, 15704, 547}, {549, 15714, 15759}, {549, 5066, 15694}, {550, 15716, 15708}, {1657, 15718, 10124}, {1657, 6928, 550}, {3522, 15721, 15681}, {3523, 15688, 15682}, {3524, 11001, 3525}, {3524, 3528, 11001}, {3524, 8703, 11541}, {3526, 17800, 3859}, {3530, 15695, 3839}, {3534, 15717, 15709}, {3543, 15700, 631}, {3543, 15705, 15700}, {5072, 15684, 14893}, {10304, 15640, 3522}, {10304, 15692, 15683}, {10304, 15698, 4}, {10304, 15705, 5055}, {10304, 15717, 3534}, {12100, 15681, 15721}, {14093, 14891, 2}, {14093, 15684, 548}, {14093, 15700, 1657}, {14093, 15706, 15684}, {14093, 15718, 15686}, {14891, 14893, 15712}, {14891, 15686, 15718}, {14891, 15718, 15692}, {15022, 15708, 11540}, {15681, 15721, 3545}, {15683, 15692, 549}, {15688, 15711, 3523}, {15689, 15706, 14890}, {15690, 15707, 3091}, {15692, 15702, 3524}, {15698, 15709, 15717}

X(62059) = X(2)X(3)∩X(99)X(32892)

X(62059) lies on these lines: {2, 3}, {99, 32892}, {165, 50814}, {193, 55653}, {395, 42509}, {396, 42508}, {524, 55656}, {542, 55662}, {962, 51110}, {1327, 42558}, {1328, 42557}, {1699, 50816}, {1992, 55646}, {3060, 55166}, {3068, 42418}, {3069, 42417}, {3098, 5032}, {3241, 35242}, {3576, 50872}, {4297, 51066}, {4677, 5731}, {4745, 37712}, {5050, 50966}, {5085, 51028}, {5304, 8588}, {5306, 5585}, {5334, 43645}, {5335, 43646}, {5476, 50969}, {5493, 41150}, {5886, 58216}, {5921, 50994}, {6194, 11055}, {6361, 58219}, {6411, 9542}, {6412, 19053}, {6448, 9693}, {6450, 9543}, {6451, 52048}, {6452, 52047}, {6459, 42569}, {6460, 42568}, {6776, 55659}, {7585, 53131}, {7586, 53130}, {7987, 34632}, {7991, 51107}, {8584, 31884}, {8589, 37665}, {8667, 11148}, {8972, 43256}, {9588, 51067}, {9681, 43884}, {9778, 50828}, {10164, 50864}, {10165, 50812}, {10246, 50809}, {10519, 51215}, {10645, 42510}, {10646, 42511}, {10653, 43869}, {10654, 43870}, {10992, 41151}, {11160, 55658}, {11177, 36521}, {11179, 55655}, {11480, 42792}, {11481, 42791}, {12512, 51109}, {13468, 53141}, {13941, 43257}, {14853, 55667}, {15300, 34473}, {15533, 25406}, {15534, 55651}, {16192, 51093}, {16241, 43465}, {16242, 43466}, {16267, 43479}, {16268, 43480}, {16644, 42588}, {16645, 42589}, {17502, 61279}, {17508, 54132}, {19924, 55665}, {20049, 61292}, {20070, 61277}, {20423, 55670}, {20583, 55607}, {21167, 51023}, {22235, 42433}, {22237, 42434}, {25055, 58217}, {26446, 50819}, {28208, 46933}, {30308, 51086}, {30389, 51104}, {31663, 61284}, {32785, 43209}, {32786, 43210}, {33750, 51178}, {34628, 51069}, {34631, 61281}, {36967, 49824}, {36968, 49825}, {38064, 55669}, {38066, 61246}, {38127, 50811}, {38736, 41135}, {41107, 42504}, {41108, 42505}, {41112, 42528}, {41113, 42529}, {41119, 43033}, {41120, 43032}, {41121, 42091}, {41122, 42090}, {42089, 43541}, {42092, 43540}, {42103, 54580}, {42106, 54581}, {42112, 43478}, {42113, 43477}, {42119, 49906}, {42120, 49905}, {42154, 42503}, {42155, 42502}, {42258, 42579}, {42259, 42578}, {42263, 42567}, {42264, 42566}, {42274, 43567}, {42277, 43566}, {42506, 42631}, {42507, 42632}, {42522, 42524}, {42523, 42525}, {42584, 43246}, {42585, 43247}, {42637, 52045}, {42638, 52046}, {42912, 52080}, {42913, 52079}, {42932, 49875}, {42933, 49876}, {42942, 49812}, {42943, 49813}, {42976, 42998}, {42977, 42999}, {42988, 43252}, {42989, 43253}, {43254, 51910}, {43255, 51911}, {43273, 50990}, {43403, 46334}, {43404, 46335}, {43459, 46951}, {44882, 50993}, {46893, 53142}, {50802, 58213}, {50808, 51105}, {50810, 51092}, {50813, 51709}, {50815, 59387}, {50817, 51705}, {50820, 50863}, {50821, 61247}, {50873, 51083}, {50965, 51185}, {50967, 55649}, {50972, 53023}, {50973, 51737}, {50976, 51216}, {50977, 55663}, {50979, 55643}, {50984, 59411}, {50991, 51135}, {50992, 54169}, {51079, 58441}, {51096, 61289}, {51108, 54445}, {51132, 55618}, {51138, 55591}, {51170, 55639}, {51171, 55672}, {53094, 54170}, {53620, 61250}, {54044, 61136}, {55674, 61044}, {55676, 59373}, {59418, 60963}

X(62059) = midpoint of X(i) and X(j) for these {i,j}: {376, 3525}
X(62059) = reflection of X(i) in X(j) for these {i,j}: {15715, 3}, {15717, 15715}, {15719, 15716}, {15721, 15717}, {2, 15719}, {3525, 15718}, {3855, 15723}, {5056, 15721}, {5070, 549}
X(62059) = complement of X(62002)
X(62059) = anticomplement of X(61932)
X(62059) = pole of line {69, 62007} with respect to the Wallace hyperbola
X(62059) = intersection, other than A, B, C, of circumconics {{A, B, C, X(253), X(41106)}}, {{A, B, C, X(1217), X(55861)}}, {{A, B, C, X(1294), X(15715)}}, {{A, B, C, X(5068), X(52441)}}, {{A, B, C, X(5070), X(18317)}}, {{A, B, C, X(46412), X(55858)}}
X(62059) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 12100, 3523}, {2, 15682, 3091}, {2, 15683, 3845}, {2, 15717, 15719}, {2, 3534, 3543}, {2, 3832, 10109}, {2, 8703, 15697}, {3, 14093, 17504}, {3, 15688, 14891}, {3, 15714, 15710}, {3, 30, 15715}, {3, 3534, 15711}, {3, 376, 15705}, {3, 8703, 15698}, {5, 12100, 15722}, {5, 12103, 5073}, {20, 15692, 15708}, {30, 15718, 3525}, {30, 15723, 3855}, {30, 549, 5070}, {376, 15703, 15683}, {376, 15715, 15718}, {376, 3525, 30}, {376, 5054, 3146}, {549, 14269, 3533}, {550, 15706, 15702}, {631, 12103, 3854}, {631, 13168, 550}, {1657, 3860, 15682}, {3090, 6831, 3851}, {3091, 3543, 14269}, {3524, 3529, 15694}, {3524, 3533, 549}, {3524, 3543, 10303}, {3528, 15682, 15695}, {3530, 15689, 5071}, {3534, 12101, 3529}, {3534, 15694, 12101}, {3534, 15716, 15720}, {3534, 15722, 5}, {3534, 5076, 15685}, {3543, 10304, 3522}, {3839, 15640, 3830}, {5071, 15689, 5059}, {8703, 15693, 11001}, {8703, 15711, 11812}, {10109, 15709, 2}, {10124, 14093, 376}, {10303, 15692, 3524}, {10304, 15692, 20}, {10304, 15697, 8703}, {10304, 15698, 15640}, {10304, 15705, 3839}, {10304, 15715, 5056}, {11001, 15698, 15693}, {12100, 15690, 10124}, {13742, 15707, 15721}, {14093, 15701, 15690}, {14093, 17504, 4}, {14269, 15695, 3534}, {14891, 15688, 631}, {15681, 15709, 3832}, {15681, 15712, 15709}, {15685, 15700, 15713}, {15685, 15713, 3545}, {15686, 15707, 3090}, {15688, 15703, 12103}, {15690, 17504, 15701}, {15715, 15719, 15716}, {15715, 15721, 15692}, {15716, 15718, 12100}, {15716, 15719, 15717}, {51086, 59420, 30308}

X(62060) = X(2)X(3)∩X(165)X(3623)

X(62060) lies on these lines: {2, 3}, {99, 32882}, {145, 16192}, {165, 3623}, {193, 55651}, {397, 43869}, {398, 43870}, {590, 60291}, {615, 60292}, {1078, 32894}, {1131, 43409}, {1132, 43410}, {1152, 9543}, {3068, 56619}, {3069, 56618}, {3621, 43174}, {3622, 5493}, {3785, 32879}, {5032, 55614}, {5237, 42795}, {5238, 42796}, {5343, 43026}, {5344, 43027}, {5368, 8588}, {5550, 58215}, {5603, 58219}, {5731, 20052}, {5882, 20014}, {5921, 55662}, {6411, 43511}, {6412, 43512}, {6419, 43525}, {6420, 43526}, {6451, 42522}, {6452, 42523}, {6496, 9542}, {6776, 55658}, {7320, 35445}, {7768, 32841}, {7850, 32831}, {7860, 32835}, {7991, 51085}, {8252, 43561}, {8253, 43560}, {8550, 55654}, {9541, 35814}, {10194, 51911}, {10195, 51910}, {10519, 55659}, {11230, 58214}, {11623, 35369}, {12007, 55646}, {12512, 46934}, {13607, 35242}, {14853, 55668}, {14862, 54211}, {14930, 15815}, {15043, 55166}, {16241, 43424}, {16242, 43425}, {20080, 55656}, {20190, 51028}, {23958, 37551}, {25555, 55665}, {28164, 46930}, {31412, 60293}, {31884, 51170}, {32785, 43519}, {32786, 43520}, {32824, 32880}, {32825, 32881}, {33748, 55629}, {33750, 55655}, {34507, 55661}, {37640, 42794}, {37641, 42793}, {41945, 43884}, {41946, 43883}, {41963, 42637}, {41964, 42638}, {42119, 43480}, {42120, 43479}, {42160, 43545}, {42161, 43544}, {42258, 43377}, {42259, 43376}, {42431, 42955}, {42432, 42954}, {42433, 43483}, {42434, 43484}, {42528, 42959}, {42529, 42958}, {42561, 60294}, {42686, 43496}, {42687, 43495}, {42690, 43464}, {42691, 43463}, {42773, 43556}, {42774, 43557}, {42775, 43473}, {42776, 43474}, {42988, 43242}, {42989, 43243}, {43150, 55663}, {43238, 43465}, {43239, 43466}, {43338, 43413}, {43339, 43414}, {43378, 43789}, {43379, 43790}, {43438, 43879}, {43439, 43880}, {43540, 51944}, {43541, 51945}, {43681, 60336}, {47586, 60639}, {50966, 53092}, {50967, 55647}, {51138, 53097}, {51140, 55652}, {51171, 55673}, {54132, 55679}, {54174, 55631}, {55676, 61044}, {60145, 60331}

X(62060) = pole of line {185, 61783} with respect to the Jerabek hyperbola
X(62060) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1217), X(55860)}}, {{A, B, C, X(3346), X(5070)}}, {{A, B, C, X(3519), X(38335)}}, {{A, B, C, X(3853), X(42021)}}, {{A, B, C, X(5076), X(34483)}}, {{A, B, C, X(5198), X(43713)}}, {{A, B, C, X(15715), X(40448)}}
X(62060) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15696, 14891}, {3, 20, 15705}, {3, 3528, 15692}, {3, 382, 15711}, {3, 5, 15715}, {3, 548, 15698}, {4, 10304, 3522}, {4, 140, 7486}, {4, 1657, 15640}, {20, 13735, 17578}, {20, 3523, 1656}, {20, 3530, 13742}, {20, 3545, 3146}, {20, 549, 15022}, {140, 15712, 15707}, {140, 17504, 6850}, {140, 3534, 4}, {376, 15712, 5056}, {546, 549, 3526}, {548, 11540, 15704}, {549, 3534, 3545}, {550, 3523, 5068}, {1656, 10299, 3523}, {1656, 3830, 3850}, {1656, 5073, 546}, {3146, 13741, 3857}, {3146, 3832, 15687}, {3522, 10299, 3854}, {3522, 3523, 5059}, {3522, 5068, 550}, {3523, 5059, 2}, {3525, 15688, 20}, {3628, 15640, 3832}, {3857, 10303, 13741}, {5059, 17578, 5073}, {5066, 15708, 17678}, {10299, 11541, 6923}, {10303, 10304, 548}, {10303, 15698, 15717}, {10304, 15692, 3534}, {10304, 15698, 15683}, {15022, 15717, 549}, {15683, 15717, 10303}, {15697, 15717, 17542}, {15703, 15720, 140}, {15704, 15706, 631}, {15709, 17800, 3091}, {15712, 15716, 10299}

X(62061) = X(2)X(3)∩X(69)X(55657)

X(62061) lies on these lines: {2, 3}, {69, 55657}, {193, 55648}, {576, 50966}, {944, 4816}, {946, 58217}, {1056, 59325}, {1058, 59319}, {1285, 37512}, {1352, 55663}, {1587, 42568}, {1588, 42569}, {1699, 58215}, {1992, 55637}, {3618, 55669}, {3619, 33751}, {4746, 5657}, {5032, 55602}, {5286, 5585}, {5343, 42774}, {5344, 42773}, {5365, 43446}, {5366, 43447}, {5418, 42570}, {5420, 42571}, {5493, 10595}, {5702, 36748}, {5882, 16192}, {6361, 61275}, {6409, 41961}, {6410, 41962}, {6411, 7581}, {6412, 7582}, {6420, 9693}, {6451, 43511}, {6452, 43512}, {6776, 55656}, {8550, 33750}, {9541, 41964}, {9589, 50813}, {9812, 58216}, {10164, 61256}, {10194, 43518}, {10195, 43517}, {10222, 50809}, {10619, 18931}, {10990, 15036}, {11179, 55650}, {12002, 15028}, {12245, 32900}, {13421, 40280}, {13464, 58221}, {14912, 55646}, {16772, 43481}, {16773, 43482}, {17502, 61277}, {20421, 42021}, {23251, 42566}, {23261, 42567}, {23269, 41948}, {23275, 41947}, {25406, 55655}, {25555, 55667}, {28190, 46931}, {31425, 34627}, {31663, 61287}, {31666, 34632}, {31670, 55664}, {33416, 43444}, {33417, 43445}, {33602, 43107}, {33603, 43100}, {33748, 55616}, {34504, 55823}, {34507, 55659}, {35812, 43411}, {35813, 43412}, {40693, 43493}, {40694, 43494}, {41977, 42150}, {41978, 42151}, {42085, 42978}, {42086, 42979}, {42099, 42776}, {42100, 42775}, {42117, 43480}, {42118, 43479}, {42119, 42993}, {42120, 42992}, {42140, 42937}, {42141, 42936}, {42163, 51945}, {42164, 51915}, {42165, 51916}, {42166, 51944}, {42283, 43506}, {42284, 43505}, {42433, 42959}, {42434, 42958}, {42494, 44015}, {42495, 44016}, {42512, 42965}, {42513, 42964}, {42557, 51911}, {42558, 51910}, {42627, 43556}, {42628, 43557}, {42908, 42910}, {42909, 42911}, {42924, 42926}, {42925, 42927}, {42988, 43869}, {42989, 43870}, {42998, 52080}, {42999, 52079}, {43174, 61296}, {43193, 43542}, {43194, 43543}, {43407, 53517}, {43408, 53520}, {43459, 52713}, {46264, 55662}, {48873, 55665}, {50970, 55626}, {51170, 55624}, {51212, 55670}, {51705, 61289}, {54170, 55687}, {54445, 58219}, {55678, 61044}, {55679, 59373}, {59417, 61292}

X(62061) = anticomplement of X(61935)
X(62061) = pole of line {185, 61787} with respect to the Jerabek hyperbola
X(62061) = pole of line {69, 5076} with respect to the Wallace hyperbola
X(62061) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(5076)}}, {{A, B, C, X(1597), X(57713)}}, {{A, B, C, X(3091), X(14863)}}, {{A, B, C, X(3431), X(11403)}}, {{A, B, C, X(3532), X(18535)}}, {{A, B, C, X(3545), X(52441)}}, {{A, B, C, X(3830), X(42021)}}, {{A, B, C, X(5198), X(11270)}}, {{A, B, C, X(10594), X(20421)}}, {{A, B, C, X(14269), X(14861)}}, {{A, B, C, X(15705), X(40448)}}, {{A, B, C, X(15708), X(51348)}}
X(62061) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 20, 5076}, {3, 10304, 631}, {3, 14093, 3530}, {3, 15696, 17504}, {3, 20, 15698}, {3, 3522, 10299}, {3, 3526, 15711}, {3, 382, 14891}, {3, 5, 15705}, {3, 548, 15692}, {3, 631, 15715}, {3, 8703, 15717}, {4, 15702, 1656}, {4, 3523, 3525}, {20, 15684, 3529}, {20, 15712, 3533}, {140, 1657, 3854}, {376, 15698, 5054}, {376, 631, 3146}, {548, 15716, 16417}, {548, 15720, 5059}, {550, 15712, 3628}, {631, 3090, 11539}, {1656, 3529, 4}, {1657, 5054, 3851}, {3146, 3525, 3544}, {3146, 3839, 3853}, {3522, 15692, 3858}, {3522, 3523, 1657}, {3522, 5056, 550}, {3523, 3854, 140}, {3524, 17538, 5067}, {3524, 3528, 17538}, {3529, 15717, 15702}, {3533, 15698, 15712}, {3628, 15695, 20}, {3628, 3851, 5056}, {3830, 11737, 3839}, {3839, 15717, 12108}, {5054, 15712, 3523}, {5056, 10304, 3522}, {5059, 15692, 15720}, {5059, 15720, 3090}, {5344, 42773, 43463}, {6891, 15711, 2}, {10303, 15696, 15682}, {10304, 12100, 376}, {10304, 15715, 11001}, {11001, 11541, 17800}, {11001, 15715, 3524}, {12103, 12108, 3857}, {14869, 15689, 17578}, {15684, 15702, 5071}, {15695, 15707, 15684}, {15696, 17504, 10303}

X(62062) = X(2)X(3)∩X(6)X(43871)

X(62062) lies on these lines: {2, 3}, {6, 43871}, {141, 55663}, {165, 61286}, {524, 55652}, {1353, 55646}, {1483, 35242}, {1503, 55662}, {3244, 31663}, {3411, 42797}, {3412, 42798}, {3564, 55656}, {3579, 61283}, {3626, 61245}, {3629, 14810}, {3631, 55658}, {3632, 61297}, {3636, 17502}, {3917, 55286}, {4297, 61251}, {5305, 5585}, {5349, 43249}, {5350, 43248}, {5351, 42634}, {5352, 42633}, {5368, 9607}, {5480, 55664}, {5886, 58217}, {6329, 17508}, {6411, 19117}, {6412, 9681}, {6418, 9693}, {6451, 42643}, {6452, 42644}, {6560, 42578}, {6561, 42579}, {7987, 61278}, {8227, 58215}, {8252, 43516}, {8253, 43515}, {8550, 55650}, {8584, 55617}, {8589, 9606}, {9588, 37705}, {11008, 33750}, {11362, 61295}, {11482, 51181}, {11592, 14855}, {12007, 55640}, {15063, 22251}, {15808, 58219}, {16192, 37727}, {18553, 50980}, {20050, 61293}, {21850, 55670}, {29181, 55665}, {31425, 61249}, {31447, 38112}, {31487, 42637}, {32455, 55630}, {34380, 55648}, {34747, 61290}, {35812, 41956}, {35813, 41955}, {38034, 58216}, {38110, 55669}, {40107, 55659}, {40341, 55654}, {41100, 42794}, {41101, 42793}, {42112, 42611}, {42113, 42610}, {42121, 42434}, {42124, 42433}, {42144, 42489}, {42145, 42488}, {42147, 42938}, {42148, 42939}, {42153, 43630}, {42156, 43631}, {42159, 51945}, {42162, 51944}, {42266, 43790}, {42267, 43789}, {42528, 43485}, {42529, 43486}, {42545, 42580}, {42546, 42581}, {42773, 43416}, {42774, 43417}, {42779, 42943}, {42780, 42942}, {42900, 43873}, {42901, 43874}, {42922, 43635}, {42923, 43634}, {42990, 43250}, {42991, 43251}, {43008, 43234}, {43009, 43235}, {43523, 43793}, {43524, 43794}, {43546, 51916}, {43547, 51915}, {43645, 43774}, {43646, 43773}, {44882, 55661}, {48874, 55672}, {48876, 55657}, {48881, 55666}, {48906, 55655}, {50965, 55679}, {50979, 55631}, {51737, 55647}, {55624, 61624}, {55676, 59399}, {58221, 61276}, {61258, 61614}

X(62062) = reflection of X(i) in X(j) for these {i,j}: {15721, 12100}, {549, 15716}, {5072, 140}
X(62062) = complement of X(62004)
X(62062) = pole of line {185, 14891} with respect to the Jerabek hyperbola
X(62062) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1105), X(14891)}}, {{A, B, C, X(15318), X(19709)}}, {{A, B, C, X(15705), X(60007)}}
X(62062) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 10304, 140}, {3, 140, 15711}, {3, 14093, 3523}, {3, 15688, 10299}, {3, 15720, 15715}, {3, 1656, 15705}, {3, 1657, 15698}, {3, 3522, 12100}, {3, 4, 14891}, {20, 15717, 3525}, {20, 3528, 15688}, {20, 549, 5}, {30, 12100, 15721}, {30, 140, 5072}, {382, 15720, 5070}, {382, 3528, 548}, {546, 1010, 15022}, {546, 10109, 3851}, {548, 12100, 3859}, {550, 14869, 15687}, {550, 15687, 15704}, {550, 3627, 15681}, {3522, 12100, 3627}, {3525, 5070, 16239}, {3526, 3851, 17530}, {3526, 6941, 5066}, {3528, 10299, 20}, {3528, 15715, 3855}, {3528, 3530, 550}, {3529, 3832, 382}, {3534, 12108, 3858}, {3830, 15716, 15719}, {3855, 15717, 15720}, {5059, 15701, 12812}, {10299, 15688, 546}, {10304, 15686, 8703}, {10304, 15711, 15686}, {13742, 15705, 15717}, {14869, 17504, 15712}, {15681, 17530, 3853}, {15687, 15712, 14869}, {15688, 15700, 3830}, {15690, 15705, 549}, {15700, 15711, 17504}, {15704, 15712, 11539}, {15717, 15720, 3530}, {15721, 15971, 13741}, {43871, 43872, 6}

X(62063) = X(2)X(3)∩X(165)X(3241)

X(62063) lies on these lines: {2, 3}, {13, 43294}, {14, 43295}, {40, 51077}, {69, 55656}, {99, 32869}, {145, 35242}, {165, 3241}, {182, 51028}, {193, 51737}, {355, 50819}, {372, 9543}, {395, 43870}, {396, 43869}, {519, 16192}, {524, 55651}, {541, 15036}, {542, 55658}, {551, 9778}, {574, 14930}, {597, 55673}, {944, 50804}, {946, 50812}, {962, 50828}, {1078, 32874}, {1125, 58217}, {1131, 41952}, {1132, 41951}, {1327, 51910}, {1328, 51911}, {1350, 5032}, {1351, 50966}, {1352, 50975}, {1385, 50872}, {1482, 50809}, {1992, 31884}, {3058, 5265}, {3098, 51170}, {3576, 34632}, {3579, 3623}, {3587, 23958}, {3621, 3654}, {3622, 28194}, {3624, 58215}, {3653, 6361}, {3655, 20049}, {3828, 54448}, {4297, 50801}, {4678, 28204}, {5085, 54170}, {5092, 54132}, {5204, 10385}, {5210, 5304}, {5237, 42511}, {5238, 42510}, {5281, 5434}, {5318, 51944}, {5321, 51945}, {5334, 41944}, {5335, 41943}, {5343, 46335}, {5344, 46334}, {5355, 8588}, {5365, 49908}, {5366, 49907}, {5476, 55668}, {5480, 50968}, {5493, 51105}, {5585, 7735}, {5691, 50829}, {5731, 31145}, {5921, 50977}, {5984, 52695}, {6053, 15051}, {6055, 8596}, {6221, 43320}, {6398, 43321}, {6409, 19054}, {6410, 19053}, {6411, 7585}, {6412, 7586}, {6428, 9693}, {6449, 52048}, {6450, 52047}, {6451, 9542}, {6455, 42522}, {6456, 42523}, {6459, 52046}, {6460, 52045}, {6496, 7581}, {6497, 7582}, {6684, 50864}, {6776, 50961}, {7739, 15513}, {7767, 32879}, {7771, 46951}, {7782, 32836}, {7788, 32841}, {7809, 32835}, {7811, 10513}, {7904, 51579}, {7917, 32831}, {7987, 20070}, {8584, 55614}, {8591, 34473}, {8716, 9740}, {8722, 46944}, {9143, 15055}, {9541, 43323}, {9588, 51068}, {9589, 51108}, {9779, 59420}, {9809, 50844}, {9812, 34638}, {10164, 34628}, {10168, 55667}, {10178, 31165}, {10248, 51083}, {10519, 55657}, {10576, 43560}, {10577, 43561}, {10645, 42997}, {10646, 42996}, {10990, 15023}, {11002, 36987}, {11160, 25406}, {11177, 21166}, {11179, 33750}, {11180, 55660}, {11488, 42625}, {11489, 42626}, {11531, 51085}, {11632, 35369}, {11898, 51176}, {12007, 51214}, {12512, 25055}, {13336, 13482}, {13678, 45509}, {13798, 45508}, {13903, 43386}, {13961, 43387}, {14561, 55664}, {14810, 50967}, {14831, 20791}, {14853, 46267}, {14907, 32837}, {14912, 55643}, {14927, 21358}, {14986, 59319}, {15035, 56567}, {15042, 20125}, {15803, 15933}, {16644, 43465}, {16645, 43466}, {16808, 43552}, {16809, 43553}, {16962, 43495}, {16963, 43496}, {17704, 21969}, {18538, 42540}, {18762, 42539}, {19875, 50815}, {19876, 28164}, {19883, 50816}, {19924, 50969}, {19925, 51079}, {20052, 34773}, {20080, 54173}, {20423, 55674}, {20582, 59411}, {20583, 55591}, {21163, 44434}, {21356, 44882}, {21454, 30282}, {22052, 36413}, {22235, 43193}, {22236, 42792}, {22237, 43194}, {22238, 42791}, {22676, 44562}, {23302, 43540}, {23303, 43541}, {28198, 50813}, {31162, 54445}, {31412, 43209}, {31423, 50820}, {31663, 50810}, {31670, 55665}, {31673, 46930}, {31730, 46934}, {32006, 32873}, {32062, 33879}, {32522, 33706}, {32785, 42604}, {32786, 42605}, {32787, 42637}, {32788, 42638}, {32815, 32893}, {32834, 43459}, {32839, 48913}, {32840, 59634}, {33748, 55610}, {33751, 40330}, {34627, 38176}, {34754, 42796}, {34755, 42795}, {35238, 61157}, {35510, 41008}, {35595, 58808}, {35770, 43525}, {35771, 43526}, {36990, 50984}, {37665, 53095}, {37749, 38698}, {38064, 55672}, {38068, 46932}, {38098, 51080}, {38738, 41135}, {38747, 41134}, {40693, 42631}, {40694, 42632}, {41112, 42433}, {41113, 42434}, {41119, 43556}, {41120, 43557}, {41467, 59767}, {41973, 49810}, {41974, 49811}, {42087, 42956}, {42088, 42957}, {42090, 43404}, {42091, 43403}, {42096, 42501}, {42097, 42500}, {42099, 43474}, {42100, 43473}, {42108, 43478}, {42109, 43477}, {42111, 42430}, {42114, 42429}, {42122, 43778}, {42123, 43777}, {42140, 42587}, {42141, 42586}, {42147, 49812}, {42148, 49813}, {42149, 49827}, {42152, 49826}, {42153, 42589}, {42156, 42588}, {42157, 49824}, {42158, 49825}, {42266, 43255}, {42267, 43254}, {42270, 43567}, {42273, 43566}, {42490, 43769}, {42491, 43770}, {42561, 43210}, {42797, 42934}, {42798, 42935}, {42799, 42929}, {42800, 42928}, {42898, 42943}, {42899, 42942}, {42944, 49861}, {42945, 49862}, {42952, 43546}, {42953, 43547}, {42974, 43242}, {42975, 43243}, {42982, 43481}, {42983, 43482}, {42988, 43109}, {42989, 43108}, {43002, 43228}, {43003, 43229}, {43306, 43493}, {43307, 43494}, {43364, 43401}, {43365, 43402}, {43380, 60293}, {43381, 60294}, {43416, 43463}, {43417, 43464}, {43479, 43773}, {43480, 43774}, {43951, 60645}, {46264, 55661}, {47352, 51130}, {47586, 60638}, {47745, 50811}, {48310, 48872}, {48873, 55666}, {48876, 51215}, {48885, 51137}, {48896, 50956}, {50965, 53094}, {50970, 55622}, {50979, 55629}, {50983, 51212}, {51086, 51118}, {51106, 58225}, {51138, 55722}, {51139, 51163}, {51171, 55676}, {51174, 55648}, {51709, 58219}, {54042, 61136}, {59418, 60984}, {60118, 60287}, {60131, 60147}

X(62063) = midpoint of X(i) and X(j) for these {i,j}: {376, 15702}, {3528, 15698}, {3534, 3851}, {31423, 50820}
X(62063) = reflection of X(i) in X(j) for these {i,j}: {14869, 12100}, {15698, 3}, {15702, 15700}, {15703, 549}, {2, 3523}, {3090, 15701}, {3523, 15698}, {3830, 3857}, {3832, 2}, {51068, 9588}
X(62063) = inverse of X(61930) in orthocentroidal circle
X(62063) = inverse of X(61930) in Yff hyperbola
X(62063) = complement of X(62005)
X(62063) = anticomplement of X(61936)
X(62063) = pole of line {523, 61930} with respect to the orthocentroidal circle
X(62063) = pole of line {185, 61788} with respect to the Jerabek hyperbola
X(62063) = pole of line {6, 61930} with respect to the Kiepert hyperbola
X(62063) = pole of line {523, 61930} with respect to the Yff hyperbola
X(62063) = pole of line {69, 50687} with respect to the Wallace hyperbola
X(62063) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(50687)}}, {{A, B, C, X(95), X(15705)}}, {{A, B, C, X(1217), X(55857)}}, {{A, B, C, X(1294), X(15698)}}, {{A, B, C, X(1494), X(3832)}}, {{A, B, C, X(3346), X(3628)}}, {{A, B, C, X(3839), X(35510)}}, {{A, B, C, X(3853), X(54552)}}, {{A, B, C, X(4846), X(14893)}}, {{A, B, C, X(15683), X(57822)}}, {{A, B, C, X(15684), X(16251)}}, {{A, B, C, X(15686), X(18850)}}, {{A, B, C, X(15703), X(18317)}}, {{A, B, C, X(46219), X(46412)}}, {{A, B, C, X(49138), X(60122)}}
X(62063) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 3522}, {2, 15705, 15717}, {2, 3, 15705}, {2, 30, 3832}, {2, 376, 15683}, {2, 3839, 15022}, {3, 15688, 12100}, {3, 15689, 15716}, {3, 15695, 15706}, {3, 15759, 15710}, {3, 30, 15698}, {3, 3534, 17504}, {3, 381, 14891}, {3, 5054, 15711}, {3, 548, 10299}, {3, 549, 15715}, {5, 15706, 15719}, {13, 43294, 43372}, {14, 43295, 43373}, {20, 10304, 8703}, {20, 3091, 5073}, {20, 3523, 3090}, {20, 3627, 5059}, {20, 5068, 3146}, {20, 5070, 17578}, {30, 12100, 14869}, {30, 549, 15703}, {140, 15689, 15682}, {140, 15716, 3524}, {140, 8703, 15689}, {376, 15686, 15697}, {376, 5071, 15681}, {381, 15694, 15699}, {381, 5073, 15687}, {548, 5054, 11001}, {549, 14893, 15723}, {549, 15686, 11737}, {549, 8703, 15691}, {550, 5070, 11541}, {3090, 3524, 15701}, {3524, 12101, 10303}, {3524, 15699, 15708}, {3528, 15698, 30}, {3530, 17538, 5056}, {3530, 3830, 15709}, {3534, 15718, 547}, {3534, 17504, 631}, {3545, 11541, 12101}, {3627, 14891, 15718}, {3655, 59417, 20049}, {3832, 15022, 3851}, {3845, 15707, 3525}, {3854, 6955, 16417}, {3856, 17504, 15693}, {5054, 11001, 3091}, {5054, 5073, 10109}, {5055, 15690, 3529}, {5067, 6934, 3855}, {7987, 50808, 38314}, {8703, 12100, 15685}, {8703, 17504, 3627}, {10109, 15687, 381}, {10124, 15684, 3545}, {10299, 11001, 5054}, {10304, 15692, 376}, {10304, 15708, 15688}, {10646, 43233, 42996}, {11737, 12100, 549}, {12100, 15686, 15694}, {12100, 15688, 4}, {12100, 15697, 2}, {12103, 15713, 14269}, {12812, 15686, 15684}, {14093, 15715, 3543}, {14269, 15713, 5067}, {14869, 15694, 15702}, {14893, 15723, 5071}, {15681, 15723, 14893}, {15682, 15689, 20}, {15683, 15721, 5068}, {15684, 15693, 10124}, {15688, 15694, 15686}, {15689, 15716, 140}, {15690, 15712, 5055}, {15693, 16434, 3839}, {15695, 15706, 5}, {15695, 15719, 15640}, {15696, 15707, 3845}, {15698, 15700, 15692}, {15698, 15702, 15700}, {15700, 15702, 3523}, {15701, 15702, 15721}, {15709, 17538, 3830}, {21358, 50971, 14927}, {38314, 50808, 20070}, {48310, 50972, 48872}, {50965, 53094, 59373}, {50965, 59373, 61044}

X(62064) = X(2)X(3)∩X(17)X(43783)

X(62064) lies on these lines: {2, 3}, {17, 43783}, {18, 43784}, {141, 55662}, {395, 43634}, {396, 43635}, {524, 55650}, {1216, 55286}, {1353, 55643}, {1503, 55661}, {3098, 61624}, {3564, 55655}, {3579, 61597}, {3589, 55664}, {3629, 55640}, {5237, 43009}, {5238, 43008}, {5339, 43329}, {5340, 43328}, {5346, 8588}, {5349, 43102}, {5350, 43103}, {5351, 43007}, {5352, 43006}, {5480, 55665}, {5493, 17502}, {5734, 50832}, {5844, 35242}, {5901, 28232}, {5965, 55653}, {6435, 41970}, {6436, 41969}, {6496, 19117}, {6497, 19116}, {7987, 28212}, {8550, 55649}, {8584, 55611}, {8981, 43314}, {9729, 13421}, {10595, 58224}, {10619, 54201}, {10627, 13382}, {10645, 42924}, {10646, 42925}, {11202, 15105}, {11204, 44762}, {11522, 28216}, {11542, 43334}, {11543, 43335}, {11592, 46850}, {12002, 13363}, {12007, 55636}, {12512, 58219}, {13392, 15036}, {13393, 34153}, {13624, 28228}, {13925, 43316}, {13966, 43315}, {13993, 43317}, {14449, 16836}, {15035, 22250}, {16192, 61294}, {16772, 43426}, {16773, 43427}, {16960, 41974}, {16961, 41973}, {18358, 33751}, {18483, 58214}, {18583, 55670}, {21850, 55671}, {25555, 55668}, {28234, 31663}, {28236, 61524}, {29181, 55666}, {32455, 55625}, {33750, 55648}, {34380, 55646}, {34507, 55658}, {34754, 43872}, {34755, 43871}, {36967, 42958}, {36968, 42959}, {37714, 50825}, {37853, 61598}, {38736, 61600}, {38747, 61599}, {38759, 61605}, {38771, 61604}, {42090, 42774}, {42091, 42773}, {42099, 42948}, {42100, 42949}, {42136, 42937}, {42137, 42936}, {42160, 51945}, {42161, 51944}, {42164, 42978}, {42165, 42979}, {42431, 42905}, {42432, 42904}, {42490, 42512}, {42491, 42513}, {42528, 42777}, {42529, 42778}, {42584, 42683}, {42585, 42682}, {42586, 43246}, {42587, 43247}, {42590, 42941}, {42591, 42940}, {42598, 43489}, {42599, 43490}, {42637, 43413}, {42638, 43414}, {42793, 42913}, {42794, 42912}, {42797, 43776}, {42798, 43775}, {42813, 43548}, {42814, 43549}, {42888, 42920}, {42889, 42921}, {42890, 43484}, {42891, 43483}, {42922, 43869}, {42923, 43870}, {43330, 51916}, {43331, 51915}, {44882, 55660}, {45185, 61540}, {48874, 55673}, {48876, 55656}, {48881, 55667}, {48906, 55654}, {50808, 61278}, {50965, 55681}, {50979, 55626}, {51732, 55676}, {51737, 55644}, {55659, 61545}

X(62064) = midpoint of X(i) and X(j) for these {i,j}: {5, 17538}, {376, 15713}, {549, 15695}, {550, 1656}, {632, 15696}, {3522, 15712}, {3859, 12103}, {8703, 15692}, {14093, 15711}, {15704, 17578}
X(62064) = reflection of X(i) in X(j) for these {i,j}: {140, 15712}, {12103, 15696}, {12812, 631}, {15693, 14891}, {15714, 15759}, {3843, 3628}, {3853, 3091}, {3859, 632}, {5066, 15694}, {5071, 11812}, {632, 3530}
X(62064) = complement of X(62006)
X(62064) = anticomplement of X(41989)
X(62064) = pole of line {185, 61789} with respect to the Jerabek hyperbola
X(62064) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3519), X(15687)}}, {{A, B, C, X(3861), X(14861)}}, {{A, B, C, X(14891), X(40448)}}, {{A, B, C, X(17578), X(42021)}}
X(62064) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14093, 631}, {3, 15688, 15717}, {3, 15696, 15692}, {3, 20, 17504}, {3, 3526, 15705}, {3, 382, 15698}, {3, 5, 14891}, {3, 548, 12100}, {3, 631, 15711}, {3, 8703, 3530}, {4, 3522, 15696}, {5, 550, 5059}, {20, 12108, 5066}, {20, 15719, 5079}, {20, 17504, 12108}, {30, 11812, 5071}, {30, 14891, 15693}, {30, 15696, 12103}, {30, 15712, 140}, {30, 15759, 15714}, {30, 3091, 3853}, {30, 3628, 3843}, {30, 631, 12812}, {30, 632, 3859}, {140, 12103, 4}, {546, 548, 15691}, {547, 3860, 14892}, {550, 3523, 3850}, {631, 15697, 5076}, {1656, 3522, 550}, {1656, 3843, 5068}, {3091, 3528, 15695}, {3091, 3533, 1656}, {3523, 15640, 16052}, {3524, 15704, 16239}, {3526, 15686, 12102}, {3529, 11539, 3856}, {3530, 12103, 547}, {3530, 12108, 15719}, {3530, 12811, 5054}, {3534, 14869, 3861}, {3627, 15717, 11812}, {3843, 15713, 3628}, {3853, 14892, 546}, {10299, 15693, 15712}, {10304, 14891, 15690}, {10304, 15681, 8703}, {12100, 14892, 549}, {12812, 14093, 548}, {14093, 15711, 30}, {14813, 14814, 15687}, {15681, 15696, 17538}, {15688, 15717, 3627}, {15692, 15696, 632}, {15693, 15695, 15682}, {15693, 17538, 5}, {15704, 16239, 14893}

X(62065) = X(2)X(3)∩X(541)X(15042)

X(62065) lies on these lines: {2, 3}, {165, 50805}, {541, 15042}, {599, 55658}, {1151, 42524}, {1152, 42525}, {1992, 55632}, {3616, 58220}, {3629, 55639}, {3642, 33619}, {3643, 33618}, {5351, 42636}, {5352, 42635}, {6329, 55678}, {6445, 52048}, {6446, 52047}, {6451, 53131}, {6452, 53130}, {6496, 41946}, {6497, 41945}, {8584, 55610}, {8588, 39593}, {11179, 55648}, {11231, 50820}, {11480, 42532}, {11481, 42533}, {11485, 42792}, {11486, 42791}, {11898, 55655}, {14810, 15534}, {14830, 35022}, {14848, 55674}, {15533, 55654}, {16192, 34718}, {16960, 42968}, {16961, 42969}, {16962, 42798}, {16963, 42797}, {17502, 51105}, {17508, 51185}, {18440, 55661}, {18510, 42417}, {18512, 42418}, {18526, 34641}, {20583, 33878}, {25055, 58219}, {25406, 51175}, {31663, 51093}, {31884, 50962}, {32900, 34747}, {33544, 33586}, {36523, 38731}, {38028, 50813}, {38110, 50969}, {40341, 55653}, {41100, 43014}, {41101, 43015}, {41112, 43106}, {41113, 43105}, {41121, 42131}, {41122, 42130}, {41943, 43485}, {41944, 43486}, {42090, 51915}, {42091, 51916}, {42115, 42511}, {42116, 42510}, {42122, 49861}, {42123, 49862}, {42126, 51945}, {42127, 51944}, {42140, 43247}, {42141, 43246}, {42433, 49903}, {42434, 49904}, {42488, 42586}, {42489, 42587}, {42504, 42528}, {42505, 42529}, {42508, 42631}, {42509, 42632}, {42518, 43483}, {42519, 43484}, {42625, 42817}, {42626, 42818}, {42629, 49907}, {42630, 49908}, {42773, 43016}, {42774, 43017}, {42815, 49860}, {42816, 49859}, {42944, 49810}, {42945, 49811}, {42946, 42972}, {42947, 42973}, {43273, 55657}, {47352, 55668}, {50954, 51186}, {50965, 55682}, {50979, 55624}, {51084, 58216}, {51140, 55645}, {51172, 55697}, {51173, 55667}, {51188, 55652}, {51737, 55643}, {54131, 55669}, {54170, 55692}

X(62065) = midpoint of X(i) and X(j) for these {i,j}: {376, 10303}
X(62065) = reflection of X(i) in X(j) for these {i,j}: {5067, 549}
X(62065) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3845), X(57823)}}, {{A, B, C, X(5067), X(18317)}}
X(62065) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 12100, 15707}, {2, 15719, 14869}, {2, 3530, 15701}, {3, 14093, 5054}, {3, 15681, 17504}, {3, 15689, 15692}, {3, 15694, 15705}, {3, 15701, 15711}, {3, 15707, 15715}, {3, 3534, 15716}, {3, 3830, 15698}, {3, 5055, 14891}, {3, 8703, 15693}, {20, 17578, 6880}, {20, 6961, 15696}, {30, 549, 5067}, {376, 10303, 30}, {376, 15706, 1656}, {376, 3524, 3832}, {548, 15705, 15694}, {550, 14869, 3853}, {550, 3530, 3544}, {3522, 14891, 5055}, {3845, 15692, 15722}, {3851, 5067, 5079}, {5066, 8703, 376}, {5067, 5068, 12812}, {8703, 11812, 15697}, {8703, 12100, 11001}, {8703, 15711, 5066}, {10299, 10303, 3530}, {10304, 11001, 8703}, {10304, 12100, 15695}, {10304, 15707, 15688}, {10304, 15714, 3}, {10304, 15715, 550}, {11539, 15711, 12100}, {11539, 17800, 381}, {11737, 15713, 2}, {11812, 15697, 3830}, {12100, 15690, 3628}, {12100, 15759, 15714}, {14093, 15716, 3534}, {14269, 15707, 11539}, {15640, 15693, 15723}, {15681, 17504, 15720}, {15688, 15700, 382}, {15688, 15706, 14269}, {15688, 15720, 15681}, {15689, 15692, 3526}, {15689, 15722, 3845}, {15691, 15708, 3843}, {15695, 15701, 17800}, {15697, 15698, 11812}, {15701, 15711, 15706}, {15720, 17504, 15700}

X(62066) = X(2)X(3)∩X(6)X(9693)

X(62066) lies on these lines: {2, 3}, {6, 9693}, {61, 42796}, {62, 42795}, {69, 55655}, {165, 13607}, {193, 55643}, {541, 15023}, {944, 4701}, {1131, 43374}, {1132, 43375}, {1192, 11431}, {1285, 15815}, {1352, 55661}, {1992, 55631}, {3053, 14482}, {3411, 42934}, {3412, 42935}, {3579, 61284}, {3618, 55670}, {4297, 31425}, {4309, 59319}, {4317, 59325}, {4325, 5218}, {4330, 7288}, {5032, 55595}, {5210, 9607}, {5319, 15513}, {5343, 51915}, {5344, 51916}, {5734, 13624}, {6361, 58221}, {6395, 9543}, {6411, 43338}, {6412, 43339}, {6419, 43526}, {6420, 43525}, {6455, 9692}, {6456, 43512}, {6459, 35814}, {6460, 9680}, {6496, 7585}, {6497, 7586}, {6684, 61254}, {6776, 55654}, {6781, 31417}, {7582, 9681}, {7738, 8588}, {7771, 32822}, {7850, 32818}, {7967, 31663}, {7982, 50809}, {8550, 51179}, {8589, 31450}, {9588, 59388}, {9589, 61274}, {9624, 12512}, {9705, 43652}, {9778, 61276}, {10165, 58217}, {10283, 58224}, {10519, 55656}, {10595, 17502}, {10645, 52080}, {10646, 52079}, {11179, 55647}, {11362, 16192}, {11477, 50966}, {11480, 42685}, {11481, 42684}, {11488, 42433}, {11489, 42434}, {12007, 31884}, {12245, 35242}, {14561, 55665}, {14810, 14912}, {14853, 55671}, {15036, 15063}, {15057, 38726}, {15326, 31410}, {15606, 54041}, {16241, 42965}, {16242, 42964}, {16772, 42986}, {16773, 42987}, {16960, 43777}, {16961, 43778}, {16966, 42695}, {16967, 42694}, {18538, 60293}, {18762, 60294}, {20070, 61278}, {20190, 54170}, {20421, 34483}, {20423, 55675}, {23039, 55286}, {23267, 35812}, {23273, 35813}, {25406, 55653}, {31414, 42261}, {31487, 43382}, {31670, 55666}, {32785, 43336}, {32786, 43337}, {33748, 55604}, {33749, 55637}, {33750, 55646}, {33879, 46849}, {34631, 61282}, {35820, 43787}, {35821, 43788}, {37640, 42806}, {37641, 42805}, {37832, 43203}, {37835, 43204}, {39874, 40107}, {41973, 49861}, {41974, 49862}, {42090, 43464}, {42091, 43463}, {42108, 42611}, {42109, 42610}, {42119, 43301}, {42120, 43300}, {42140, 42489}, {42141, 42488}, {42147, 42686}, {42148, 42687}, {42149, 43482}, {42152, 43481}, {42157, 43484}, {42158, 43483}, {42159, 43545}, {42162, 43544}, {42164, 51945}, {42165, 51944}, {42268, 43506}, {42269, 43505}, {42275, 43559}, {42276, 43558}, {42490, 42971}, {42491, 42970}, {42637, 43509}, {42638, 43510}, {42773, 43403}, {42774, 43404}, {42813, 42955}, {42814, 42954}, {42988, 43493}, {42989, 43494}, {42996, 43019}, {42997, 43018}, {43150, 55659}, {43174, 50818}, {43211, 43376}, {43212, 43377}, {43254, 43521}, {43255, 43522}, {43513, 52667}, {43514, 52666}, {46264, 55660}, {48873, 55667}, {50810, 61288}, {50967, 55641}, {50982, 51176}, {51028, 55701}, {51140, 55644}, {51170, 55616}, {51212, 55672}, {54132, 55684}, {54173, 55652}, {54174, 55620}, {55681, 59373}, {55682, 61044}, {58214, 61268}

X(62066) = reflection of X(i) in X(j) for these {i,j}: {4, 15022}
X(62066) = anticomplement of X(61937)
X(62066) = pole of line {185, 15698} with respect to the Jerabek hyperbola
X(62066) = pole of line {69, 3853} with respect to the Wallace hyperbola
X(62066) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(38335)}}, {{A, B, C, X(69), X(3853)}}, {{A, B, C, X(548), X(18851)}}, {{A, B, C, X(1105), X(15698)}}, {{A, B, C, X(3346), X(46935)}}, {{A, B, C, X(3830), X(34483)}}, {{A, B, C, X(3843), X(13623)}}, {{A, B, C, X(3845), X(15740)}}, {{A, B, C, X(5055), X(18853)}}, {{A, B, C, X(5068), X(15318)}}, {{A, B, C, X(6662), X(41989)}}, {{A, B, C, X(10303), X(18852)}}, {{A, B, C, X(11737), X(54763)}}, {{A, B, C, X(14891), X(60007)}}, {{A, B, C, X(15683), X(18849)}}, {{A, B, C, X(15688), X(54660)}}, {{A, B, C, X(18535), X(44763)}}, {{A, B, C, X(18847), X(49136)}}, {{A, B, C, X(20421), X(34484)}}, {{A, B, C, X(46412), X(47598)}}
X(62066) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15704, 4}, {2, 20, 3853}, {3, 140, 15705}, {3, 14093, 140}, {3, 15688, 15712}, {3, 15720, 15711}, {3, 1656, 14891}, {3, 1657, 17504}, {3, 3523, 15715}, {3, 3528, 631}, {3, 376, 10299}, {3, 548, 15717}, {3, 550, 15692}, {4, 13635, 5073}, {4, 17538, 15683}, {4, 3524, 10303}, {4, 3525, 5055}, {4, 5071, 3857}, {5, 5076, 3832}, {20, 13742, 3830}, {20, 15717, 3526}, {20, 3530, 5067}, {20, 631, 3855}, {376, 10299, 3090}, {376, 3855, 20}, {548, 10304, 3528}, {548, 15704, 15696}, {548, 549, 17800}, {550, 3525, 15682}, {3090, 10299, 15719}, {3146, 15712, 15702}, {3522, 10303, 3534}, {3522, 15692, 5076}, {3522, 15694, 17538}, {3522, 3524, 3529}, {3523, 14893, 3525}, {3523, 15683, 3628}, {3523, 17538, 3545}, {3524, 12102, 6897}, {3524, 15702, 15722}, {3524, 3529, 3533}, {3526, 17800, 3856}, {3526, 3856, 7486}, {3528, 15715, 382}, {3533, 10303, 15709}, {3534, 15640, 6949}, {3534, 15706, 15694}, {3534, 15722, 5066}, {3534, 5073, 15704}, {3545, 15682, 14893}, {5054, 5059, 3544}, {5055, 11812, 17678}, {5071, 15712, 1006}, {7486, 15717, 549}, {10303, 10304, 3522}, {10304, 15683, 8703}, {10304, 15698, 376}, {10304, 15717, 548}, {11812, 15692, 3524}, {12101, 16239, 5}, {12103, 15693, 5056}, {12108, 15681, 5068}, {12811, 14893, 3858}, {14093, 15705, 11001}, {15688, 15712, 3146}, {15706, 15715, 15698}, {15715, 17538, 3523}

X(62067) = X(2)X(3)∩X(6)X(41969)

X(62067) lies on these lines: {2, 3}, {6, 41969}, {17, 43465}, {18, 43466}, {40, 20057}, {69, 55654}, {148, 55819}, {165, 3244}, {193, 14810}, {390, 7280}, {397, 43242}, {398, 43243}, {962, 58221}, {1078, 32868}, {1350, 33748}, {1352, 55660}, {1992, 55626}, {2896, 51579}, {2979, 13382}, {2996, 60334}, {3312, 9543}, {3357, 41462}, {3411, 49876}, {3412, 49875}, {3424, 60642}, {3590, 5418}, {3591, 5420}, {3600, 5010}, {3601, 4031}, {3618, 55671}, {3620, 55658}, {3622, 17502}, {3629, 31884}, {3631, 55656}, {3632, 5731}, {3636, 5493}, {3819, 52093}, {3982, 5703}, {5032, 52987}, {5092, 61044}, {5206, 5304}, {5265, 59319}, {5281, 59325}, {5286, 8588}, {5334, 43480}, {5335, 43479}, {5343, 42090}, {5344, 42091}, {5351, 42995}, {5352, 42994}, {5365, 42089}, {5366, 42092}, {5395, 60332}, {5732, 60983}, {5734, 50808}, {5882, 20050}, {6154, 38693}, {6200, 42522}, {6329, 53094}, {6396, 42523}, {6409, 9542}, {6411, 42637}, {6412, 42638}, {6427, 9693}, {6451, 7581}, {6452, 7582}, {6459, 41964}, {6460, 41963}, {6519, 52048}, {6522, 52047}, {6560, 43376}, {6561, 43377}, {6776, 55653}, {7690, 45525}, {7692, 45524}, {7780, 53142}, {7781, 9740}, {7782, 15589}, {8550, 11008}, {8567, 44762}, {8972, 42261}, {8976, 60291}, {9588, 38098}, {9692, 19054}, {9778, 13464}, {10187, 42920}, {10188, 42921}, {10194, 42266}, {10195, 42267}, {10519, 55655}, {10541, 54170}, {10576, 43515}, {10577, 43516}, {10619, 18913}, {10627, 61136}, {10645, 42896}, {10646, 42897}, {10653, 42932}, {10654, 42933}, {10990, 15051}, {10991, 35022}, {10992, 35021}, {11036, 30282}, {11160, 55652}, {11179, 55644}, {11270, 26861}, {11488, 43106}, {11489, 43105}, {11522, 12512}, {12002, 15024}, {13348, 20791}, {13474, 44299}, {13624, 20070}, {13846, 43411}, {13847, 43412}, {13941, 42260}, {13951, 60292}, {14561, 55666}, {14853, 55672}, {14907, 32825}, {14912, 55639}, {15023, 15063}, {15036, 16534}, {15055, 24981}, {15080, 38942}, {15105, 17821}, {15258, 45845}, {16644, 51916}, {16645, 51915}, {16962, 42612}, {16963, 42613}, {17508, 51171}, {18221, 37524}, {18436, 55286}, {18538, 43519}, {18553, 55663}, {18762, 43520}, {19876, 51079}, {20423, 55677}, {20583, 53097}, {22052, 40138}, {22235, 42158}, {22237, 42157}, {22793, 58216}, {23608, 26909}, {25406, 40341}, {25555, 55669}, {28160, 46932}, {28164, 30315}, {30389, 34632}, {31425, 53620}, {31447, 34627}, {31670, 55667}, {32450, 32522}, {32787, 43413}, {32788, 43414}, {32789, 43785}, {32790, 43786}, {32886, 43459}, {33416, 43365}, {33417, 43364}, {33521, 35024}, {33884, 40647}, {34506, 53143}, {34507, 55657}, {34595, 58213}, {35260, 54211}, {35812, 43256}, {35813, 43257}, {37512, 37665}, {37714, 50815}, {38808, 58797}, {42085, 42902}, {42086, 42903}, {42087, 42774}, {42088, 42773}, {42096, 42776}, {42097, 42775}, {42115, 43871}, {42116, 43872}, {42119, 42944}, {42120, 42945}, {42125, 43488}, {42128, 43487}, {42133, 42937}, {42134, 42936}, {42149, 42983}, {42150, 42780}, {42151, 42779}, {42152, 42982}, {42160, 42978}, {42161, 42979}, {42433, 43418}, {42434, 43419}, {42457, 54053}, {42528, 42992}, {42529, 42993}, {42924, 52080}, {42925, 52079}, {43016, 43027}, {43017, 43026}, {43108, 43253}, {43109, 43252}, {43238, 43769}, {43239, 43770}, {43424, 49874}, {43425, 49873}, {43537, 43676}, {43681, 60337}, {44134, 57897}, {45186, 55166}, {45384, 60620}, {45385, 60621}, {46264, 55659}, {46934, 58219}, {48873, 55668}, {50965, 55684}, {50966, 55724}, {50967, 55637}, {50979, 55620}, {51028, 53093}, {51170, 55610}, {51212, 55673}, {51700, 58224}, {51737, 55641}, {53099, 53102}, {53100, 60285}, {53105, 53859}, {54132, 55687}, {54173, 55650}, {54174, 55614}, {59418, 60933}, {60142, 60647}, {60145, 60330}

X(62067) = reflection of X(i) in X(j) for these {i,j}: {3854, 3533}
X(62067) = anticomplement of X(3544)
X(62067) = pole of line {185, 61791} with respect to the Jerabek hyperbola
X(62067) = pole of line {69, 50688} with respect to the Wallace hyperbola
X(62067) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(12102)}}, {{A, B, C, X(69), X(50688)}}, {{A, B, C, X(253), X(3855)}}, {{A, B, C, X(382), X(26861)}}, {{A, B, C, X(631), X(51348)}}, {{A, B, C, X(1217), X(55856)}}, {{A, B, C, X(1294), X(61138)}}, {{A, B, C, X(3091), X(57897)}}, {{A, B, C, X(3346), X(5067)}}, {{A, B, C, X(3519), X(5076)}}, {{A, B, C, X(3532), X(5198)}}, {{A, B, C, X(3534), X(60618)}}, {{A, B, C, X(3627), X(42021)}}, {{A, B, C, X(5066), X(31363)}}, {{A, B, C, X(6353), X(60334)}}, {{A, B, C, X(6662), X(14892)}}, {{A, B, C, X(7714), X(53100)}}, {{A, B, C, X(8889), X(60332)}}, {{A, B, C, X(11270), X(26863)}}, {{A, B, C, X(11403), X(14528)}}, {{A, B, C, X(15698), X(40448)}}, {{A, B, C, X(15723), X(46412)}}, {{A, B, C, X(15740), X(50689)}}, {{A, B, C, X(35502), X(57713)}}, {{A, B, C, X(37453), X(53859)}}, {{A, B, C, X(49135), X(57894)}}, {{A, B, C, X(52283), X(60642)}}
X(62067) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15683, 14269}, {2, 15705, 15700}, {2, 15707, 15721}, {2, 16371, 13735}, {2, 3522, 550}, {2, 3544, 7486}, {2, 3832, 5079}, {2, 404, 4234}, {2, 4188, 11346}, {2, 4234, 13741}, {3, 10304, 20}, {3, 14093, 5}, {3, 15688, 3530}, {3, 15696, 12100}, {3, 17800, 15716}, {3, 20, 15692}, {3, 3526, 14891}, {3, 3530, 15715}, {3, 376, 15717}, {3, 382, 17504}, {3, 4192, 17542}, {3, 5, 15698}, {3, 548, 3524}, {3, 550, 10299}, {3, 631, 15705}, {3, 8703, 631}, {4, 10299, 15720}, {20, 10303, 3839}, {20, 3091, 15640}, {20, 3523, 5056}, {20, 4220, 15702}, {30, 3533, 3854}, {140, 11541, 5068}, {140, 15717, 3523}, {140, 3523, 15708}, {140, 376, 5059}, {140, 3845, 1656}, {140, 5059, 3091}, {376, 3524, 3845}, {376, 5067, 15704}, {376, 631, 11541}, {382, 5055, 546}, {474, 16297, 404}, {546, 3525, 17573}, {546, 550, 1657}, {548, 14869, 15681}, {549, 17538, 3832}, {550, 15720, 4}, {550, 3530, 3851}, {1656, 3522, 15697}, {1657, 5068, 3543}, {2045, 2046, 15709}, {3090, 15696, 15683}, {3091, 3523, 140}, {3522, 5059, 376}, {3523, 10304, 3522}, {3524, 3855, 14869}, {3525, 3534, 17578}, {3528, 15710, 3}, {3528, 15715, 3529}, {3528, 3529, 15688}, {3528, 3855, 548}, {3529, 12108, 4188}, {3543, 10304, 8703}, {3832, 16859, 5055}, {3855, 15681, 3146}, {4245, 16409, 16297}, {6200, 43511, 42522}, {6396, 43512, 42523}, {11106, 13735, 13725}, {11357, 16863, 2}, {11737, 15704, 382}, {11737, 17504, 15693}, {12100, 15696, 3090}, {12108, 17800, 5071}, {14784, 14785, 12102}, {14810, 33750, 193}, {14813, 14814, 5076}, {14869, 15681, 3855}, {15640, 15717, 10303}, {15681, 15700, 10124}, {15693, 15704, 5067}, {15716, 17800, 12108}, {41969, 41970, 6}, {42096, 42948, 42776}, {42097, 42949, 42775}

X(62068) = X(2)X(3)∩X(6)X(42795)

X(62068) lies on these lines: {2, 3}, {6, 42795}, {182, 51172}, {524, 55648}, {542, 55656}, {599, 55657}, {1351, 51138}, {1482, 51085}, {1699, 58216}, {1992, 55624}, {3311, 43526}, {3312, 43525}, {4816, 18526}, {5309, 5585}, {5655, 15042}, {5901, 50813}, {6407, 52048}, {6408, 52047}, {6425, 42524}, {6426, 42525}, {6451, 41946}, {6452, 41945}, {6455, 53131}, {6456, 53130}, {6498, 41969}, {6499, 41970}, {6684, 50797}, {8584, 55602}, {8591, 38634}, {9143, 38633}, {9956, 50820}, {10645, 42800}, {10646, 42799}, {10653, 42687}, {10654, 42686}, {11177, 38635}, {11178, 55663}, {11179, 55643}, {11480, 43420}, {11481, 43421}, {11645, 55662}, {11898, 50982}, {12007, 50962}, {12645, 50827}, {13607, 50805}, {14810, 51140}, {14848, 55676}, {14927, 50980}, {15040, 56567}, {15534, 55637}, {16241, 43033}, {16242, 43032}, {16964, 54594}, {16965, 54593}, {18583, 50969}, {19924, 55671}, {20070, 50832}, {21358, 33751}, {24206, 50976}, {30308, 58215}, {31663, 51087}, {33606, 42157}, {33607, 42158}, {34632, 58230}, {36836, 43008}, {36843, 43009}, {36967, 43011}, {36968, 43010}, {37832, 42586}, {37835, 42587}, {38021, 58217}, {39899, 55653}, {41943, 42625}, {41944, 42626}, {41957, 43315}, {41958, 43314}, {42090, 42690}, {42091, 42691}, {42115, 42684}, {42116, 42685}, {42125, 43545}, {42128, 43544}, {42129, 43490}, {42130, 51945}, {42131, 51944}, {42132, 43489}, {42150, 42899}, {42151, 42898}, {42154, 43484}, {42155, 43483}, {42258, 43343}, {42259, 43342}, {42271, 43559}, {42272, 43558}, {42490, 46334}, {42491, 46335}, {42528, 42930}, {42529, 42931}, {42578, 43384}, {42579, 43385}, {42773, 42973}, {42774, 42972}, {42922, 43493}, {42923, 43494}, {42934, 49948}, {42935, 49947}, {42940, 42951}, {42941, 42950}, {42954, 43549}, {42955, 43548}, {42964, 43239}, {42965, 43238}, {42998, 43002}, {42999, 43003}, {43150, 55658}, {43273, 55655}, {43382, 43509}, {43383, 43510}, {43505, 43566}, {43506, 43567}, {46267, 55672}, {47352, 55669}, {48661, 50812}, {48662, 50975}, {48872, 51137}, {48873, 51173}, {50979, 55616}, {50987, 61044}, {51175, 55651}, {51177, 61545}, {51185, 55679}, {51737, 55639}, {54131, 55670}, {54170, 55697}, {54891, 60277}

X(62068) = midpoint of X(i) and X(j) for these {i,j}: {376, 15721}, {3534, 5072}
X(62068) = reflection of X(i) in X(j) for these {i,j}: {15716, 3}, {15718, 15715}, {15720, 15716}, {15723, 15718}, {381, 15723}, {3830, 3855}, {5070, 15719}, {6848, 3857}
X(62068) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(15716)}}, {{A, B, C, X(3839), X(13623)}}, {{A, B, C, X(17578), X(34483)}}, {{A, B, C, X(43713), X(52294)}}, {{A, B, C, X(44903), X(57822)}}
X(62068) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3857, 5055}, {3, 15688, 15693}, {3, 15689, 12100}, {3, 15694, 14891}, {3, 15695, 3524}, {3, 15701, 15705}, {3, 15707, 15711}, {3, 15718, 15715}, {3, 3830, 17504}, {3, 5055, 15698}, {4, 10304, 8703}, {4, 12103, 17800}, {4, 15022, 3859}, {4, 3526, 5079}, {4, 5070, 5072}, {20, 15711, 15707}, {30, 15718, 15723}, {30, 3857, 6848}, {376, 14891, 15694}, {376, 15692, 547}, {376, 15715, 15721}, {376, 547, 15681}, {376, 549, 15684}, {382, 7489, 3854}, {548, 549, 15683}, {549, 15686, 5066}, {550, 15705, 15701}, {1656, 3543, 381}, {3091, 10303, 17535}, {3522, 15702, 15691}, {3523, 15690, 14269}, {3524, 15686, 15703}, {3528, 12100, 15689}, {3534, 15706, 3526}, {3534, 5054, 4}, {3534, 5072, 30}, {3832, 6913, 3851}, {6938, 7486, 5}, {10304, 15698, 548}, {10304, 15706, 15688}, {10304, 15759, 3}, {11539, 15697, 5073}, {12100, 15689, 1656}, {12100, 15704, 15709}, {14093, 15692, 15696}, {14093, 15700, 376}, {14269, 17800, 6834}, {14891, 15694, 15700}, {15681, 15692, 5054}, {15681, 15718, 5070}, {15683, 15698, 549}, {15686, 15703, 382}, {15688, 15693, 1657}, {15689, 15704, 3534}, {15691, 15702, 3830}, {15691, 17504, 15702}, {15695, 15703, 15686}, {15715, 15718, 15716}, {15715, 15719, 15692}, {15716, 15717, 15706}, {15716, 15723, 15718}, {15718, 15723, 15720}, {42795, 42796, 6}

X(62069) = X(2)X(3)∩X(165)X(1483)

X(62069) lies on these lines: {2, 3}, {15, 42685}, {16, 42684}, {61, 42795}, {62, 42796}, {141, 55659}, {165, 1483}, {185, 54044}, {397, 42687}, {398, 42686}, {485, 43438}, {486, 43439}, {524, 55644}, {576, 51138}, {590, 43340}, {597, 55677}, {615, 43341}, {946, 58219}, {952, 16192}, {1353, 31884}, {1503, 55658}, {1992, 55620}, {3098, 12007}, {3564, 55651}, {3579, 13607}, {3589, 55667}, {3592, 43526}, {3594, 43525}, {3624, 28182}, {3629, 55627}, {3654, 61297}, {3917, 45957}, {4297, 38112}, {5204, 10386}, {5237, 42634}, {5238, 42633}, {5318, 42979}, {5321, 42978}, {5339, 43630}, {5340, 43631}, {5343, 42628}, {5344, 42627}, {5462, 55166}, {5480, 55668}, {5493, 13624}, {5650, 32137}, {5882, 31663}, {5894, 14862}, {5901, 58221}, {5925, 61606}, {6101, 13382}, {6241, 44324}, {6329, 55683}, {6409, 19117}, {6410, 19116}, {6425, 52048}, {6426, 52047}, {6435, 41969}, {6436, 41970}, {6445, 43511}, {6446, 43512}, {6451, 42637}, {6452, 42638}, {6497, 9541}, {6501, 9543}, {7869, 32459}, {7987, 10283}, {8550, 14810}, {8584, 55597}, {8589, 31406}, {9730, 13421}, {9778, 51700}, {10187, 42908}, {10188, 42909}, {10194, 42263}, {10195, 42264}, {10222, 51085}, {10263, 17704}, {10282, 15105}, {10627, 45956}, {10645, 43014}, {10646, 43015}, {11179, 55641}, {11362, 50830}, {11480, 42924}, {11481, 42925}, {11522, 61273}, {11592, 12162}, {12002, 15026}, {12006, 36987}, {12244, 15042}, {12383, 13393}, {12512, 38028}, {13464, 17502}, {13623, 57713}, {14449, 40280}, {14677, 16534}, {14692, 21166}, {14855, 32142}, {14864, 23328}, {14912, 55632}, {14929, 32821}, {15048, 15513}, {15515, 18907}, {15803, 15935}, {16772, 41974}, {16773, 41973}, {16960, 43300}, {16961, 43301}, {16964, 42958}, {16965, 42959}, {17508, 48874}, {18481, 61251}, {18538, 43336}, {18553, 21167}, {18583, 55673}, {18762, 43337}, {19106, 42949}, {19107, 42948}, {20190, 50965}, {20417, 34153}, {21850, 55674}, {22615, 43559}, {22644, 43558}, {23251, 43378}, {23261, 43379}, {23332, 32903}, {25406, 55648}, {25555, 48881}, {25561, 51134}, {28190, 31423}, {28202, 50833}, {29181, 55669}, {30315, 61260}, {30503, 61148}, {30507, 58922}, {31487, 43413}, {32455, 55608}, {33749, 55623}, {33750, 55629}, {34380, 55639}, {34507, 55655}, {34628, 61255}, {34773, 43174}, {35242, 61295}, {35255, 43430}, {35256, 43431}, {35814, 41964}, {35815, 41963}, {36967, 51915}, {36968, 51916}, {38110, 55672}, {38136, 48885}, {39884, 55662}, {41869, 61270}, {42021, 43713}, {42085, 42774}, {42086, 42773}, {42087, 43017}, {42088, 43016}, {42090, 43239}, {42091, 43238}, {42108, 43442}, {42109, 43443}, {42117, 42944}, {42118, 42945}, {42119, 42917}, {42120, 42916}, {42121, 42157}, {42122, 42149}, {42123, 42152}, {42124, 42158}, {42135, 42937}, {42138, 42936}, {42144, 42954}, {42145, 42955}, {42163, 43545}, {42166, 43544}, {42490, 43416}, {42491, 43417}, {42580, 42694}, {42581, 42695}, {42582, 43785}, {42583, 43786}, {42688, 43770}, {42689, 43769}, {42793, 42934}, {42794, 42935}, {42815, 43479}, {42816, 43480}, {42912, 43640}, {42913, 43639}, {42920, 43102}, {42921, 43103}, {42922, 42988}, {42923, 42989}, {42946, 42961}, {42947, 42960}, {42974, 43635}, {42975, 43634}, {42994, 43228}, {42995, 43229}, {43150, 44882}, {43256, 43411}, {43257, 43412}, {43302, 43775}, {43303, 43776}, {43485, 43773}, {43486, 43774}, {46025, 52543}, {48876, 55653}, {48892, 55663}, {48906, 55649}, {48920, 51126}, {50832, 61278}, {50979, 55606}, {50982, 55652}, {50985, 55647}, {50987, 55684}, {51140, 55637}, {51181, 53092}, {51732, 55678}, {51737, 55631}, {53094, 59399}, {54157, 61659}, {54169, 55650}, {54170, 55701}, {55604, 61624}, {58215, 61268}, {58216, 59420}, {58217, 61272}, {61245, 61524}

X(62069) = midpoint of X(i) and X(j) for these {i,j}: {3, 3528}, {376, 15701}
X(62069) = reflection of X(i) in X(j) for these {i,j}: {15702, 12100}, {3627, 3832}, {3845, 15703}, {3851, 140}, {3857, 3526}, {5, 14869}, {549, 15698}
X(62069) = complement of X(62008)
X(62069) = pole of line {185, 44324} with respect to the Jerabek hyperbola
X(62069) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(546), X(13623)}}, {{A, B, C, X(1294), X(44682)}}, {{A, B, C, X(3519), X(3853)}}, {{A, B, C, X(3543), X(42021)}}, {{A, B, C, X(3627), X(34483)}}, {{A, B, C, X(3845), X(14861)}}, {{A, B, C, X(5198), X(44763)}}, {{A, B, C, X(6662), X(19709)}}, {{A, B, C, X(10594), X(43713)}}, {{A, B, C, X(13596), X(57713)}}, {{A, B, C, X(15721), X(51348)}}, {{A, B, C, X(17504), X(40448)}}
X(62069) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 10304, 548}, {3, 14093, 20}, {3, 15696, 3524}, {3, 1657, 10299}, {3, 17800, 15706}, {3, 3526, 15698}, {3, 3528, 30}, {3, 3530, 15711}, {3, 3534, 15717}, {3, 382, 15692}, {3, 3843, 15716}, {3, 5, 17504}, {3, 631, 14891}, {3, 8703, 5}, {4, 10303, 1656}, {4, 15683, 5073}, {4, 3523, 3526}, {4, 3533, 15022}, {4, 5059, 15684}, {4, 550, 15704}, {20, 12100, 632}, {20, 15710, 3}, {20, 15720, 3850}, {20, 632, 15687}, {30, 12100, 15702}, {30, 140, 3851}, {30, 3832, 3627}, {140, 1657, 3858}, {140, 3522, 550}, {376, 10303, 17800}, {382, 15692, 12108}, {546, 11540, 7486}, {548, 14891, 5072}, {548, 3628, 3534}, {549, 10304, 8703}, {549, 3526, 14869}, {631, 15688, 12103}, {632, 3627, 3544}, {1656, 15711, 15712}, {1656, 17800, 4}, {1657, 10299, 140}, {3146, 15693, 16239}, {3146, 16858, 3091}, {3522, 10299, 1657}, {3523, 15702, 15720}, {3524, 15684, 11540}, {3524, 15696, 546}, {3525, 15681, 3861}, {3526, 17800, 3832}, {3526, 5072, 15703}, {3530, 3627, 11539}, {3534, 15717, 3628}, {5070, 11001, 12102}, {6919, 11001, 3843}, {8703, 11539, 376}, {8703, 17504, 15686}, {10303, 15706, 3530}, {10303, 17800, 5066}, {10304, 15710, 5055}, {10304, 15759, 549}, {12103, 14891, 631}, {12108, 15690, 382}, {14093, 15710, 12100}, {14813, 14814, 3853}, {14869, 15704, 3857}, {14869, 15712, 3523}, {14891, 15688, 3845}, {15686, 17504, 15713}, {15689, 15715, 11812}, {15690, 15692, 15699}, {15691, 16239, 3146}, {15695, 15705, 547}, {15697, 15707, 14893}, {15706, 17800, 10303}, {33751, 55661, 21167}, {54044, 55286, 185}

X(62070) = X(2)X(3)∩X(635)X(33619)

X(62070) lies on these lines: {2, 3}, {524, 55643}, {542, 55654}, {599, 55655}, {635, 33619}, {636, 33618}, {1992, 55616}, {3098, 50962}, {3579, 50805}, {3592, 42524}, {3594, 42525}, {3818, 50976}, {4701, 18526}, {5210, 5355}, {5476, 55671}, {5642, 15042}, {6053, 11693}, {6361, 58224}, {6449, 53131}, {6450, 53130}, {6455, 41946}, {6456, 41945}, {6496, 32787}, {6497, 32788}, {7739, 15655}, {8584, 55595}, {9680, 42418}, {10168, 50968}, {11178, 55661}, {11179, 51174}, {11645, 55660}, {11898, 55651}, {12017, 50965}, {12355, 38736}, {12645, 16192}, {12702, 51077}, {14848, 17508}, {15534, 55631}, {16241, 51944}, {16242, 51945}, {16267, 42625}, {16268, 42626}, {18440, 55658}, {18480, 50820}, {18481, 50801}, {18483, 51083}, {18493, 58219}, {18510, 52046}, {18512, 52045}, {19924, 55673}, {20423, 55678}, {21850, 50969}, {22236, 42980}, {22238, 42981}, {22791, 50813}, {28178, 58218}, {28198, 58221}, {31730, 51075}, {33750, 55624}, {33751, 47353}, {33878, 51132}, {34628, 50797}, {34638, 50806}, {34718, 35242}, {36967, 42818}, {36968, 42817}, {37832, 43781}, {37835, 43782}, {39899, 50961}, {41121, 42773}, {41122, 42774}, {41869, 51084}, {41955, 41966}, {41956, 41965}, {42085, 43100}, {42086, 43107}, {42090, 42970}, {42091, 42971}, {42130, 42972}, {42131, 42973}, {42144, 43202}, {42145, 43201}, {42433, 49905}, {42434, 49906}, {42633, 52080}, {42634, 52079}, {42785, 51024}, {42815, 51916}, {42816, 51915}, {43230, 43240}, {43231, 43241}, {43238, 46334}, {43239, 46335}, {43273, 55653}, {43775, 49947}, {43776, 49948}, {43777, 43869}, {43778, 43870}, {46264, 50958}, {47352, 55670}, {48881, 51130}, {48891, 51141}, {48906, 51175}, {48910, 51137}, {50800, 51079}, {50957, 51134}, {50967, 55632}, {50977, 55656}, {50979, 55604}, {51086, 61268}, {51140, 55636}, {51172, 54170}, {51185, 55681}, {51737, 55629}, {54131, 55672}, {54132, 55692}, {54173, 55648}, {55663, 59411}

X(62070) = midpoint of X(i) and X(j) for these {i,j}: {376, 15708}, {10304, 15710}, {15688, 15706}
X(62070) = reflection of X(i) in X(j) for these {i,j}: {15706, 3}, {15707, 15705}, {15708, 17504}, {3, 15710}, {5054, 15706}, {5055, 15708}
X(62070) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(15706)}}, {{A, B, C, X(15704), X(57822)}}
X(62070) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15691, 5073}, {2, 15714, 3}, {2, 376, 15704}, {3, 10304, 15688}, {3, 14093, 3534}, {3, 15681, 12100}, {3, 15694, 15698}, {3, 15695, 549}, {3, 15701, 14891}, {3, 15707, 15705}, {3, 15718, 15711}, {3, 17800, 10299}, {3, 3534, 15700}, {3, 376, 15693}, {3, 381, 15716}, {3, 3830, 15692}, {3, 5055, 17504}, {3, 548, 15720}, {4, 15711, 15718}, {20, 14891, 15701}, {20, 3524, 15699}, {30, 15705, 15707}, {30, 17504, 15708}, {140, 15685, 381}, {140, 17504, 3524}, {140, 3091, 5070}, {140, 376, 15685}, {140, 8703, 376}, {376, 15692, 11737}, {376, 15698, 5067}, {376, 15717, 3845}, {381, 10109, 5072}, {381, 1657, 15682}, {382, 15693, 15723}, {547, 10299, 15722}, {547, 15697, 17800}, {549, 3528, 15695}, {549, 3853, 2}, {549, 3860, 3533}, {550, 15698, 15694}, {631, 15690, 15684}, {631, 3530, 6842}, {3522, 12100, 15681}, {3524, 10304, 8703}, {3524, 3545, 15721}, {3524, 8703, 15689}, {3530, 11001, 15703}, {3534, 15700, 1656}, {3545, 3839, 3859}, {5055, 14269, 3091}, {5059, 11737, 3830}, {5070, 14269, 14892}, {8703, 14891, 20}, {10299, 15697, 547}, {10304, 15688, 14093}, {10304, 15710, 30}, {10304, 15759, 5055}, {11001, 15703, 5076}, {11539, 15720, 5054}, {11541, 15717, 140}, {11812, 15683, 3851}, {12100, 15681, 3526}, {14892, 15682, 14269}, {14892, 15689, 1657}, {15688, 17504, 382}, {15702, 17528, 10124}, {15705, 15707, 15706}, {54170, 55705, 51172}

X(62071) = X(2)X(3)∩X(165)X(51087)

X(62071) lies on these lines: {2, 3}, {165, 51087}, {551, 58224}, {1327, 43881}, {1328, 43882}, {3311, 42524}, {3312, 42525}, {5093, 51138}, {5210, 39593}, {5306, 15603}, {5339, 43311}, {5340, 43310}, {5418, 60313}, {5420, 60314}, {5731, 50830}, {6144, 55639}, {6199, 43526}, {6395, 43525}, {6445, 53131}, {6446, 53130}, {6449, 43258}, {6450, 43259}, {6455, 43338}, {6456, 43339}, {8584, 55593}, {10247, 51085}, {11480, 43232}, {11481, 43233}, {11485, 42795}, {11486, 42796}, {12007, 55616}, {14692, 36521}, {15533, 55649}, {15534, 55629}, {16241, 42691}, {16242, 42690}, {16644, 42689}, {16645, 42688}, {21358, 55661}, {25406, 50985}, {31663, 34748}, {31884, 51140}, {32455, 55604}, {33606, 42154}, {33607, 42155}, {33750, 50962}, {34595, 58214}, {36967, 42505}, {36968, 42504}, {38072, 55666}, {41100, 42997}, {41101, 42996}, {41107, 43300}, {41108, 43301}, {42115, 42533}, {42116, 42532}, {42119, 42969}, {42120, 42968}, {42126, 42956}, {42127, 42957}, {42506, 42528}, {42507, 42529}, {42510, 42685}, {42511, 42684}, {42526, 42608}, {42527, 42609}, {42631, 43499}, {42632, 43500}, {42686, 42975}, {42687, 42974}, {42799, 43309}, {42800, 43308}, {42801, 42934}, {42802, 42935}, {42912, 43002}, {42913, 43003}, {43150, 55656}, {43193, 49903}, {43194, 49904}, {43302, 43304}, {43303, 43305}, {43336, 43380}, {43337, 43381}, {46334, 51944}, {46335, 51945}, {47353, 55660}, {48661, 51109}, {48662, 50993}, {50808, 58230}, {50827, 51515}, {50955, 55654}, {50965, 55697}, {50968, 55670}, {50973, 55640}, {51024, 55667}, {51185, 55682}, {51187, 55641}, {51737, 55624}, {54852, 60131}, {60323, 60638}

X(62071) = reflection of X(i) in X(j) for these {i,j}: {381, 3533}, {7486, 549}
X(62071) = intersection, other than A, B, C, of circumconics {{A, B, C, X(7486), X(18317)}}, {{A, B, C, X(13623), X(41099)}}
X(62071) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15682, 3850}, {2, 15718, 15701}, {2, 3534, 15684}, {3, 14093, 15689}, {3, 14269, 15692}, {3, 15684, 15706}, {3, 15703, 17504}, {3, 3522, 5070}, {3, 376, 15707}, {3, 6891, 3845}, {3, 8703, 3830}, {4, 15717, 14869}, {20, 15719, 6944}, {30, 3533, 381}, {30, 549, 7486}, {376, 15707, 5073}, {376, 3524, 17578}, {548, 10304, 14093}, {548, 14890, 15686}, {3528, 11737, 15688}, {3528, 15714, 5054}, {3534, 15693, 5066}, {3534, 15716, 3526}, {3534, 15759, 3}, {3830, 17800, 15640}, {3830, 8703, 15695}, {5066, 15698, 15693}, {8703, 11812, 376}, {8703, 12100, 15697}, {8703, 15759, 15698}, {10304, 15683, 3528}, {10304, 15698, 8703}, {10304, 15759, 3534}, {11540, 15711, 15717}, {11737, 15699, 5056}, {12100, 15685, 15694}, {12100, 15686, 2}, {12100, 15688, 15685}, {12100, 15690, 11737}, {14093, 15706, 548}, {14869, 15711, 12100}, {14890, 15686, 4}, {15640, 15698, 549}, {15686, 15712, 15699}, {15689, 15706, 5055}, {15689, 15718, 3843}, {15695, 15701, 15681}, {15696, 17504, 15703}, {15707, 15712, 15718}

X(62072) = X(2)X(3)∩X(1327)X(42604)

X(62072) lies on circumconic {{A, B, C, X(3845), X(35510)}} and on these lines: {2, 3}, {1327, 42604}, {1328, 42605}, {1992, 55607}, {3068, 41958}, {3069, 41957}, {4297, 51068}, {4669, 16192}, {5032, 55582}, {5984, 36521}, {6411, 42418}, {6412, 42417}, {6429, 43511}, {6430, 43512}, {6433, 19054}, {6434, 19053}, {6480, 53131}, {6481, 53130}, {8584, 55591}, {9543, 35771}, {9778, 51105}, {9812, 50816}, {10645, 49875}, {10646, 49876}, {11160, 55646}, {11179, 55633}, {11180, 55655}, {11231, 50863}, {12512, 51110}, {13846, 43889}, {13847, 43890}, {14927, 51143}, {15534, 55622}, {17502, 50813}, {17508, 50969}, {19883, 58217}, {20070, 51103}, {20080, 55642}, {20423, 55680}, {21356, 55656}, {22165, 55651}, {30308, 51083}, {30392, 50808}, {31145, 35242}, {32893, 43459}, {33602, 42131}, {33603, 42130}, {33748, 50966}, {33750, 54174}, {34754, 42510}, {34755, 42511}, {35770, 42525}, {36967, 49859}, {36968, 49860}, {38110, 51211}, {39561, 51028}, {41112, 42504}, {41113, 42505}, {41149, 55614}, {42090, 49873}, {42091, 49874}, {42225, 42527}, {42226, 42526}, {42502, 42588}, {42503, 42589}, {42508, 49813}, {42509, 49812}, {42528, 49826}, {42529, 49827}, {42576, 43507}, {42577, 43508}, {42606, 43209}, {42607, 43210}, {42625, 43869}, {42626, 43870}, {42890, 49904}, {42891, 49903}, {42910, 43474}, {42911, 43473}, {42932, 43481}, {42933, 43482}, {42972, 43026}, {42973, 43027}, {43002, 49947}, {43003, 49948}, {43004, 43244}, {43005, 43245}, {43012, 43311}, {43013, 43310}, {43199, 46334}, {43200, 46335}, {43495, 61719}, {44882, 50994}, {46893, 53141}, {50812, 54445}, {50814, 51094}, {50965, 55703}, {50967, 55627}, {50971, 51186}, {50972, 51538}, {50974, 55643}, {50990, 51027}, {51025, 59411}, {51092, 51705}, {51108, 58221}, {51119, 59420}, {51166, 51185}, {51170, 55594}, {51214, 51737}, {54132, 55695}, {54170, 55711}, {54173, 55645}

X(62072) = anticomplement of X(61938)
X(62072) = pole of line {69, 62018} with respect to the Wallace hyperbola
X(62072) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3534, 3146}, {3, 11812, 15698}, {3, 15686, 3524}, {3, 15688, 547}, {3, 15690, 15719}, {3, 15723, 17504}, {3, 3522, 3832}, {3, 3545, 15692}, {3, 376, 15708}, {3, 3853, 10299}, {3, 5059, 15717}, {3, 548, 3533}, {3, 7491, 15703}, {3, 8703, 11001}, {20, 10304, 14093}, {20, 3523, 3544}, {140, 15687, 5055}, {140, 15704, 3843}, {376, 15693, 15640}, {376, 3524, 382}, {546, 3832, 6894}, {547, 3843, 3545}, {548, 15715, 3839}, {549, 3839, 16858}, {3091, 15708, 15723}, {3146, 15717, 140}, {3146, 16418, 3091}, {3146, 3528, 3522}, {3522, 15705, 15683}, {3524, 15686, 5056}, {3528, 15710, 15687}, {3534, 15707, 3860}, {3543, 15708, 5067}, {5066, 8703, 15695}, {6844, 13729, 7493}, {7486, 15692, 15707}, {8703, 15698, 15697}, {8703, 15759, 15693}, {10304, 15692, 3528}, {11001, 15640, 5059}, {11001, 15698, 11812}, {12100, 15690, 3850}, {14093, 15710, 20}, {15640, 15693, 2}, {15682, 15711, 3523}, {15685, 15723, 3845}, {15688, 15704, 376}, {15688, 15711, 15682}, {15690, 15719, 3543}, {15695, 15703, 3534}, {15702, 15710, 3}, {51737, 55618, 51214}

X(62073) = X(2)X(3)∩X(6)X(42524)

X(62073) lies on these lines: {2, 3}, {6, 42524}, {13, 51944}, {14, 51945}, {40, 51097}, {165, 50817}, {302, 33611}, {303, 33610}, {395, 43237}, {396, 43236}, {524, 55639}, {542, 51189}, {597, 55678}, {599, 55653}, {1482, 51107}, {1699, 51084}, {1992, 55604}, {3098, 15534}, {3579, 51093}, {3653, 12512}, {3654, 51082}, {3655, 51096}, {3656, 41150}, {4297, 38066}, {4669, 61244}, {4677, 18526}, {4745, 18481}, {5050, 50965}, {5092, 51185}, {5206, 39593}, {5306, 15655}, {5339, 43012}, {5340, 43013}, {5351, 42977}, {5352, 42976}, {5476, 50968}, {6144, 55634}, {6199, 52048}, {6221, 53131}, {6321, 41154}, {6395, 52047}, {6398, 53130}, {6411, 18512}, {6412, 18510}, {6445, 19054}, {6446, 19053}, {6449, 41946}, {6450, 41945}, {6451, 32787}, {6452, 32788}, {6486, 43338}, {6487, 43339}, {6494, 41969}, {6495, 41970}, {6496, 42418}, {6497, 42417}, {6560, 42572}, {6561, 42573}, {7767, 32896}, {8182, 51122}, {8584, 33878}, {9880, 41148}, {9955, 58217}, {10164, 61257}, {10165, 50806}, {10168, 55671}, {10246, 50808}, {10516, 55663}, {10645, 42631}, {10646, 42632}, {11165, 47101}, {11178, 55659}, {11179, 55629}, {11480, 41100}, {11481, 41101}, {11485, 42510}, {11486, 42511}, {11592, 52093}, {11632, 41151}, {11645, 51186}, {11648, 44541}, {11898, 54169}, {12188, 15300}, {12243, 38634}, {12355, 38731}, {12699, 51109}, {12702, 51071}, {12816, 42962}, {12817, 42963}, {13321, 36987}, {13624, 51105}, {13903, 42568}, {13961, 42569}, {14810, 51188}, {14830, 36521}, {14848, 53094}, {15042, 37853}, {15048, 15603}, {15069, 55652}, {15533, 39899}, {16192, 28204}, {16241, 42131}, {16242, 42130}, {16644, 46334}, {16645, 46335}, {16772, 49811}, {16773, 49810}, {17502, 61275}, {18440, 50993}, {18525, 51066}, {19924, 55676}, {20423, 41153}, {20585, 54202}, {21358, 48892}, {21969, 40280}, {22052, 59655}, {22791, 58224}, {25406, 51178}, {26446, 50797}, {28146, 61271}, {28150, 51083}, {28158, 50807}, {28160, 50820}, {28164, 50800}, {28168, 51088}, {28174, 50813}, {28178, 50833}, {28194, 51106}, {28198, 51110}, {28208, 61256}, {29012, 50976}, {29181, 51173}, {29323, 51141}, {31663, 34718}, {31730, 51108}, {31884, 50973}, {32519, 33706}, {33542, 37490}, {33750, 50979}, {34632, 37624}, {35255, 43256}, {35256, 43257}, {35750, 47610}, {36331, 47611}, {36523, 38730}, {36767, 48655}, {36836, 42532}, {36843, 42533}, {36967, 42816}, {36968, 42815}, {36990, 55662}, {37712, 50821}, {38072, 48885}, {38127, 50798}, {40341, 55642}, {41107, 42625}, {41108, 42626}, {41112, 42817}, {41113, 42818}, {41119, 42088}, {41120, 42087}, {41121, 42127}, {41122, 42126}, {41149, 50962}, {41152, 50955}, {41462, 52055}, {41943, 43193}, {41944, 43194}, {42095, 43636}, {42098, 43637}, {42115, 43229}, {42116, 43228}, {42117, 49861}, {42118, 49862}, {42121, 49824}, {42122, 49827}, {42123, 49826}, {42124, 49825}, {42133, 43247}, {42134, 43246}, {42153, 43784}, {42156, 43783}, {42157, 42505}, {42158, 42504}, {42160, 43100}, {42161, 43107}, {42263, 42557}, {42264, 42558}, {42490, 42973}, {42491, 42972}, {42496, 43869}, {42497, 43870}, {42512, 42691}, {42513, 42690}, {42520, 42795}, {42521, 42796}, {42526, 51910}, {42527, 51911}, {42528, 42974}, {42529, 42975}, {42586, 42813}, {42587, 42814}, {42793, 42899}, {42794, 42898}, {42912, 49875}, {42913, 49876}, {42914, 43476}, {42915, 43475}, {42928, 43420}, {42929, 43421}, {42932, 43207}, {42933, 43208}, {42942, 51915}, {42943, 51916}, {42996, 43015}, {42997, 43014}, {43032, 43295}, {43033, 43294}, {43108, 49812}, {43109, 49813}, {43209, 53517}, {43210, 53520}, {43273, 50989}, {43374, 60301}, {43375, 60302}, {43542, 43631}, {43543, 43630}, {43787, 43881}, {43788, 43882}, {44015, 49907}, {44016, 49908}, {44882, 51142}, {46264, 50991}, {46267, 55675}, {47352, 55672}, {48872, 55666}, {48905, 55661}, {48906, 50992}, {48910, 55665}, {49901, 49952}, {49902, 49953}, {50799, 51081}, {50805, 50814}, {50811, 59503}, {50812, 51709}, {50825, 59387}, {50874, 61265}, {50954, 50971}, {50963, 50972}, {50967, 55624}, {50977, 55654}, {51072, 61524}, {51136, 51175}, {51137, 53023}, {51140, 55627}, {53091, 54170}, {53620, 61253}, {54131, 55674}, {54132, 55697}, {55166, 58470}, {55660, 59411}, {58230, 61280}

X(62073) = midpoint of X(i) and X(j) for these {i,j}: {376, 3523}, {3857, 15686}
X(62073) = reflection of X(i) in X(j) for these {i,j}: {15700, 3}, {15701, 15698}, {15703, 3523}, {381, 3526}, {3090, 549}, {3526, 15700}, {3851, 15702}
X(62073) = inverse of X(61934) in orthocentroidal circle
X(62073) = inverse of X(61934) in Yff hyperbola
X(62073) = complement of X(62009)
X(62073) = anticomplement of X(61939)
X(62073) = pole of line {523, 61934} with respect to the orthocentroidal circle
X(62073) = pole of line {185, 61793} with respect to the Jerabek hyperbola
X(62073) = pole of line {6, 43207} with respect to the Kiepert hyperbola
X(62073) = pole of line {523, 61934} with respect to the Yff hyperbola
X(62073) = pole of line {69, 62019} with respect to the Wallace hyperbola
X(62073) = intersection, other than A, B, C, of circumconics {{A, B, C, X(95), X(15716)}}, {{A, B, C, X(1294), X(15700)}}, {{A, B, C, X(3090), X(18317)}}, {{A, B, C, X(19710), X(57822)}}
X(62073) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 12101}, {2, 12100, 15722}, {2, 15690, 15685}, {2, 15759, 3}, {2, 5154, 4194}, {2, 8703, 15695}, {3, 10304, 14093}, {3, 14093, 15688}, {3, 15681, 3524}, {3, 15689, 549}, {3, 15694, 17504}, {3, 15696, 15720}, {3, 15701, 15698}, {3, 15707, 14891}, {3, 15718, 15705}, {3, 17800, 15712}, {3, 3522, 382}, {3, 381, 15706}, {3, 3830, 12100}, {3, 3843, 10299}, {3, 5055, 15692}, {3, 5073, 15717}, {3, 548, 1656}, {4, 14891, 15707}, {4, 15707, 15723}, {5, 15705, 15718}, {20, 15719, 5066}, {30, 15698, 15701}, {30, 15702, 3851}, {30, 3523, 15703}, {30, 549, 3090}, {376, 10124, 15681}, {376, 12103, 15689}, {376, 15692, 14893}, {376, 15705, 5}, {376, 3523, 30}, {376, 3524, 3146}, {376, 3839, 12103}, {381, 15688, 15696}, {382, 3534, 11001}, {548, 12811, 550}, {548, 3845, 15697}, {549, 12103, 3839}, {550, 11812, 15682}, {631, 15640, 10109}, {1656, 14869, 3526}, {1656, 5054, 10124}, {1657, 15688, 376}, {3090, 3528, 3522}, {3146, 3525, 12811}, {3523, 3832, 3525}, {3524, 15697, 3845}, {3534, 11812, 5076}, {3534, 14093, 8703}, {3534, 3830, 1657}, {3545, 15691, 17800}, {3845, 8703, 548}, {5054, 15700, 3523}, {5066, 12100, 12108}, {5066, 17504, 15719}, {6926, 15685, 15759}, {10109, 15640, 14269}, {10109, 15686, 15640}, {10299, 15683, 11539}, {10645, 42631, 49947}, {10646, 42632, 49948}, {11001, 15689, 3534}, {11539, 15683, 3843}, {11812, 15682, 5055}, {12100, 14893, 11812}, {12100, 15690, 3860}, {12108, 15694, 5054}, {14893, 15682, 3830}, {15685, 15695, 15690}, {15687, 15708, 5070}, {15690, 15711, 2}, {15690, 15759, 15711}, {15691, 15712, 3545}, {15695, 15759, 15716}, {15696, 15706, 381}, {15698, 15701, 15700}, {15699, 17533, 15694}, {15700, 15701, 15693}, {15708, 17538, 15687}, {42157, 42505, 49904}, {42158, 42504, 49903}, {42510, 42791, 11485}, {42511, 42792, 11486}, {42524, 42525, 6}, {50812, 58221, 51709}, {50814, 51705, 61287}, {50968, 55673, 5476}, {51737, 55610, 50962}

X(62074) = X(2)X(3)∩X(590)X(43570)

X(62074) lies on these lines: {2, 3}, {590, 43570}, {599, 55652}, {615, 43571}, {2979, 55286}, {3629, 55610}, {3632, 31663}, {3763, 55663}, {5237, 42799}, {5238, 42800}, {5286, 15603}, {5603, 58224}, {6144, 55630}, {6445, 42637}, {6446, 42638}, {6447, 53131}, {6448, 53130}, {6449, 43523}, {6450, 43524}, {6484, 43338}, {6485, 43339}, {6496, 18512}, {6497, 18510}, {6522, 9681}, {7581, 42643}, {7582, 42644}, {8550, 55629}, {8567, 45185}, {10516, 55662}, {10645, 42779}, {10646, 42780}, {10653, 42794}, {10654, 42793}, {10984, 11935}, {10990, 15040}, {11008, 55632}, {11230, 58217}, {11480, 43030}, {11481, 43031}, {11898, 55646}, {11999, 40912}, {12645, 35242}, {14530, 15105}, {14810, 40341}, {14848, 55681}, {15041, 24981}, {15042, 38788}, {15069, 55650}, {15534, 55617}, {16644, 43330}, {16645, 43331}, {16964, 51945}, {16965, 51944}, {16966, 43324}, {16967, 43325}, {17811, 52100}, {18440, 55655}, {18526, 43174}, {18553, 55658}, {20583, 55724}, {22235, 43631}, {22236, 43008}, {22237, 43630}, {22238, 43009}, {25555, 55673}, {33542, 37489}, {33750, 55584}, {33751, 55656}, {34507, 55651}, {35022, 52090}, {36990, 55661}, {39899, 55643}, {41973, 42626}, {41974, 42625}, {42099, 42951}, {42100, 42950}, {42122, 43871}, {42123, 43872}, {42125, 42774}, {42126, 43547}, {42127, 43546}, {42128, 42773}, {42129, 42630}, {42130, 43239}, {42131, 43238}, {42132, 42629}, {42153, 42958}, {42156, 42959}, {42157, 42818}, {42158, 42817}, {42260, 43315}, {42261, 43314}, {42268, 43786}, {42269, 43785}, {42494, 42584}, {42495, 42585}, {42612, 49947}, {42613, 49948}, {42686, 42782}, {42687, 42781}, {42797, 42989}, {42798, 42988}, {42815, 42945}, {42816, 42944}, {42938, 42975}, {42939, 42974}, {42946, 43025}, {42947, 43024}, {42968, 43646}, {42969, 43645}, {42992, 43485}, {42993, 43486}, {43028, 43196}, {43029, 43195}, {43193, 43332}, {43194, 43333}, {43273, 55647}, {43489, 43633}, {43490, 43632}, {43676, 60335}, {48872, 55667}, {48905, 55660}, {48910, 55666}, {50819, 61249}, {50962, 55606}, {50965, 53092}, {51737, 55602}, {53023, 55665}, {53100, 60210}, {53102, 54920}, {54131, 55675}, {54934, 60642}, {55659, 59411}, {60334, 60626}

X(62074) = pole of line {185, 61794} with respect to the Jerabek hyperbola
X(62074) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3519), X(17578)}}, {{A, B, C, X(3532), X(52294)}}, {{A, B, C, X(3839), X(14861)}}, {{A, B, C, X(11403), X(44731)}}, {{A, B, C, X(15682), X(42021)}}, {{A, B, C, X(15706), X(40448)}}, {{A, B, C, X(26861), X(49135)}}, {{A, B, C, X(49139), X(57894)}}
X(62074) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15681, 3530}, {3, 15689, 631}, {3, 15695, 5}, {3, 17800, 3524}, {3, 3522, 1657}, {3, 3526, 15716}, {3, 3528, 15688}, {3, 376, 3526}, {3, 3830, 15717}, {3, 3843, 12100}, {3, 3851, 10299}, {3, 5, 15706}, {3, 5070, 15692}, {3, 5073, 15712}, {3, 548, 381}, {3, 8703, 15696}, {4, 3523, 632}, {4, 5068, 3860}, {4, 550, 15681}, {20, 14869, 14269}, {20, 15693, 5072}, {20, 15709, 12102}, {20, 15715, 14869}, {376, 15712, 5073}, {381, 15693, 15709}, {382, 15720, 1656}, {548, 17504, 3529}, {550, 15712, 546}, {550, 3530, 4}, {632, 8703, 548}, {1656, 15700, 15720}, {1657, 15720, 3851}, {1657, 3851, 382}, {3522, 5056, 376}, {3528, 10299, 3522}, {3529, 17576, 3858}, {3530, 15681, 5079}, {5054, 14093, 8703}, {8703, 15719, 15695}, {11812, 15712, 3523}, {12103, 15692, 5070}, {14269, 15715, 15693}, {14813, 14814, 17578}, {15688, 15700, 3534}, {15688, 15710, 5054}, {15688, 15720, 550}, {15707, 15716, 15700}, {15714, 15717, 3}, {22236, 43420, 43008}, {22238, 43421, 43009}

X(62075) = X(2)X(3)∩X(5023)X(5355)

X(62075) lies on these lines: {2, 3}, {575, 51172}, {599, 55650}, {1350, 33749}, {3411, 42529}, {3412, 42528}, {3579, 61291}, {3763, 55662}, {4297, 61247}, {5010, 31480}, {5023, 5355}, {5210, 7765}, {5267, 31494}, {5305, 15603}, {5351, 43776}, {5352, 43775}, {5734, 58230}, {5790, 31425}, {5901, 58224}, {6053, 15040}, {6144, 55625}, {6398, 9681}, {6407, 42637}, {6408, 42638}, {6409, 31487}, {6411, 13903}, {6412, 13961}, {6451, 31454}, {6480, 43338}, {6481, 43339}, {6496, 9680}, {6519, 41946}, {6522, 41945}, {8550, 51174}, {8589, 31492}, {9588, 38176}, {9589, 17502}, {9657, 59325}, {9670, 59319}, {9692, 19117}, {9693, 43511}, {9778, 61278}, {10516, 55661}, {11179, 55620}, {11412, 55286}, {11480, 42990}, {11481, 42991}, {11482, 50965}, {11592, 12279}, {11898, 55643}, {12512, 61276}, {12702, 61284}, {14810, 39899}, {15042, 16111}, {15069, 55649}, {15484, 31457}, {15534, 55611}, {18440, 33751}, {18525, 31447}, {18526, 31663}, {25406, 55632}, {31470, 37512}, {33544, 37475}, {33750, 44456}, {35242, 59503}, {36990, 55660}, {38066, 61248}, {40107, 55651}, {40341, 55640}, {40647, 54047}, {41971, 43019}, {41972, 43018}, {42126, 42491}, {42127, 42490}, {42129, 43632}, {42132, 43633}, {42157, 51945}, {42158, 51944}, {42488, 42962}, {42489, 42963}, {42625, 42988}, {42626, 42989}, {42785, 48885}, {42815, 43193}, {42816, 43194}, {42958, 46335}, {42959, 46334}, {43016, 43238}, {43017, 43239}, {43174, 50804}, {43273, 55644}, {43907, 55653}, {47355, 55664}, {48661, 58221}, {48872, 55668}, {48905, 55659}, {48910, 55667}, {50810, 61290}, {50962, 55602}, {51077, 61282}, {51132, 55580}, {51175, 55641}, {51737, 55595}, {53023, 55666}, {54131, 55677}, {55658, 59411}, {58222, 61273}

X(62075) = inverse of X(41989) in orthocentroidal circle
X(62075) = inverse of X(41989) in Yff hyperbola
X(62075) = pole of line {523, 41989} with respect to the orthocentroidal circle
X(62075) = pole of line {185, 15700} with respect to the Jerabek hyperbola
X(62075) = pole of line {6, 41989} with respect to the Kiepert hyperbola
X(62075) = pole of line {523, 41989} with respect to the Yff hyperbola
X(62075) = intersection, other than A, B, C, of circumconics {{A, B, C, X(264), X(41989)}}, {{A, B, C, X(1105), X(15700)}}, {{A, B, C, X(5066), X(15318)}}, {{A, B, C, X(15706), X(60007)}}
X(62075) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 140, 15716}, {3, 15681, 3523}, {3, 15688, 1657}, {3, 15689, 140}, {3, 15695, 4}, {3, 1656, 15706}, {3, 1657, 15693}, {3, 17800, 3530}, {3, 3534, 15720}, {3, 3830, 15712}, {3, 3843, 15717}, {3, 3851, 12100}, {3, 4, 15700}, {3, 5073, 3524}, {4, 631, 13735}, {5, 3530, 10303}, {5, 3543, 3843}, {20, 15717, 3090}, {20, 3524, 5}, {20, 3528, 8703}, {20, 3627, 17800}, {20, 5070, 382}, {20, 631, 3861}, {381, 15696, 20}, {381, 15706, 15701}, {381, 8703, 15688}, {382, 1656, 3832}, {548, 16239, 550}, {550, 3090, 15685}, {1657, 15693, 5079}, {3090, 16239, 5070}, {3522, 10303, 376}, {3523, 11541, 15699}, {3523, 15681, 5072}, {3524, 12101, 15694}, {3526, 15688, 15696}, {3529, 12101, 5073}, {3534, 15720, 5076}, {3534, 5054, 3543}, {3543, 5066, 14269}, {3832, 7486, 3544}, {5059, 15715, 12108}, {5073, 14269, 3627}, {8703, 11540, 6960}, {10299, 12103, 5055}, {10299, 15714, 3}, {10303, 14269, 1656}, {11812, 15695, 3534}, {12100, 17538, 3851}, {12103, 15714, 10299}, {12811, 15712, 15721}, {14891, 15685, 5054}, {15685, 15701, 5066}, {15689, 15716, 381}, {15706, 17800, 3526}, {33751, 55654, 18440}

X(62076) = X(2)X(3)∩X(40)X(51094)

X(62076) lies on these lines: {2, 3}, {40, 51094}, {524, 55632}, {542, 55648}, {1125, 58220}, {3311, 42525}, {3312, 42524}, {3579, 34747}, {3629, 55604}, {4677, 31663}, {5023, 39593}, {5093, 50965}, {5585, 11648}, {5790, 50815}, {5886, 50816}, {6199, 53131}, {6395, 53130}, {6407, 41946}, {6408, 41945}, {9690, 19054}, {9691, 42637}, {9812, 50833}, {10175, 51081}, {10247, 50808}, {10706, 15042}, {11179, 55616}, {11480, 42631}, {11481, 42632}, {11645, 55656}, {12820, 33417}, {12821, 33416}, {14561, 50972}, {14810, 15533}, {15534, 55610}, {16192, 38066}, {16644, 43033}, {16645, 43032}, {16962, 42508}, {16963, 42509}, {16964, 42505}, {16965, 42504}, {17502, 50812}, {17508, 50968}, {18481, 38098}, {19053, 43415}, {19106, 43248}, {19107, 43249}, {19924, 55678}, {20583, 44456}, {21358, 55658}, {21766, 33887}, {22052, 36431}, {31730, 58224}, {33602, 42627}, {33603, 42628}, {33751, 48662}, {35022, 48657}, {36521, 38635}, {36836, 42635}, {36843, 42636}, {38072, 55669}, {40341, 55639}, {41100, 42116}, {41101, 42115}, {41119, 42131}, {41120, 42130}, {42093, 42985}, {42094, 42984}, {42117, 43871}, {42118, 43872}, {42121, 42589}, {42122, 49812}, {42123, 49813}, {42124, 42588}, {42154, 43011}, {42155, 43010}, {42263, 43882}, {42264, 43881}, {42266, 42642}, {42267, 42641}, {42433, 42506}, {42434, 42507}, {42490, 43546}, {42491, 43547}, {42528, 49947}, {42529, 49948}, {42904, 43204}, {42905, 43203}, {42944, 49859}, {42945, 49860}, {43002, 49826}, {43003, 49827}, {43110, 49876}, {43111, 49875}, {43195, 43230}, {43196, 43231}, {43228, 51915}, {43229, 51916}, {43254, 43515}, {43255, 43516}, {43273, 55643}, {43418, 49905}, {43419, 49906}, {47353, 55657}, {50811, 51515}, {50819, 51068}, {50955, 55649}, {50973, 55627}, {50975, 50994}, {50988, 51538}, {50993, 55654}, {51024, 55670}, {51095, 51705}, {51103, 58230}, {51140, 55618}, {51187, 55626}, {51737, 55593}

X(62076) = midpoint of X(i) and X(j) for these {i,j}: {376, 15717}
X(62076) = reflection of X(i) in X(j) for these {i,j}: {15718, 3}, {15720, 15715}, {15723, 15717}, {381, 3525}, {5056, 549}, {5070, 15718}, {5072, 15721}
X(62076) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(15718)}}, {{A, B, C, X(5056), X(18317)}}
X(62076) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15687}, {2, 15681, 3830}, {2, 15697, 3529}, {2, 15698, 3530}, {2, 3528, 8703}, {2, 8703, 15688}, {3, 14269, 15700}, {3, 15684, 3524}, {3, 15688, 15681}, {3, 15689, 15694}, {3, 30, 15718}, {3, 548, 5073}, {3, 8703, 15695}, {20, 15706, 15703}, {20, 15714, 15706}, {30, 15715, 15720}, {30, 15717, 15723}, {30, 15718, 5070}, {30, 15721, 5072}, {30, 549, 5056}, {376, 15705, 12102}, {376, 15708, 15704}, {376, 15717, 30}, {376, 17504, 382}, {376, 3524, 5059}, {548, 15711, 11001}, {550, 17504, 11737}, {631, 3533, 6998}, {3522, 15698, 15690}, {3522, 15708, 376}, {3524, 15696, 15684}, {3534, 3845, 15685}, {3843, 15695, 15697}, {3845, 10109, 3091}, {3855, 15710, 15715}, {5059, 6977, 3627}, {5073, 15701, 10109}, {8703, 15690, 3522}, {8703, 15711, 548}, {10299, 11001, 2}, {10299, 15687, 5054}, {10304, 14093, 3}, {14093, 15688, 3528}, {15681, 15707, 3851}, {15685, 15693, 5055}, {15686, 15705, 3526}, {15688, 15700, 550}, {15688, 15707, 15689}, {15688, 15710, 14269}, {15689, 15694, 17800}, {15690, 15698, 381}, {15693, 15708, 15722}, {15693, 15716, 15717}, {15695, 15701, 3534}, {15701, 15718, 15719}, {15704, 15713, 3845}, {15704, 15759, 15698}, {15713, 15722, 15701}, {15715, 15717, 17504}, {15716, 15723, 15693}, {15718, 15720, 15707}

X(62077) = X(2)X(3)∩X(40)X(51091)

X(62077) lies on these lines: {2, 3}, {40, 51091}, {61, 42926}, {62, 42927}, {69, 55642}, {165, 50818}, {1350, 41149}, {1992, 55594}, {3576, 50813}, {4297, 51070}, {4669, 35242}, {4745, 61250}, {5008, 14482}, {5085, 50969}, {5097, 54170}, {5102, 33750}, {5334, 51945}, {5335, 51944}, {5485, 46893}, {5603, 50812}, {5657, 50871}, {6361, 51105}, {6409, 42418}, {6410, 42417}, {6411, 43256}, {6412, 43257}, {6429, 41946}, {6430, 41945}, {6434, 9541}, {6480, 19054}, {6481, 19053}, {6484, 7581}, {6485, 7582}, {8584, 55582}, {9778, 31662}, {10137, 42522}, {10138, 42523}, {10164, 50820}, {10385, 37587}, {10516, 51134}, {10519, 51027}, {10645, 43481}, {10646, 43482}, {11160, 55639}, {11179, 55612}, {11180, 55651}, {11480, 43304}, {11481, 43305}, {12512, 41150}, {13846, 41965}, {13847, 41966}, {14853, 50968}, {14912, 51214}, {15534, 55607}, {16192, 34627}, {16200, 50808}, {16808, 43501}, {16809, 43502}, {18481, 51068}, {20423, 55685}, {21167, 50976}, {21356, 55653}, {22165, 55646}, {25406, 51179}, {31730, 51110}, {31884, 50974}, {32785, 43521}, {32786, 43522}, {33179, 34632}, {33602, 42086}, {33603, 42085}, {34631, 61284}, {35255, 43889}, {35256, 43890}, {36967, 49861}, {36968, 49862}, {37640, 42631}, {37641, 42632}, {38155, 50815}, {38736, 41151}, {38738, 41147}, {39874, 50990}, {41100, 43232}, {41101, 43233}, {41107, 42986}, {41108, 42987}, {41112, 43244}, {41113, 43245}, {41119, 43199}, {41120, 43200}, {41121, 43463}, {41122, 43464}, {41152, 44882}, {42087, 49873}, {42088, 49874}, {42090, 42589}, {42091, 42588}, {42117, 43494}, {42118, 43493}, {42119, 43003}, {42120, 43002}, {42126, 43555}, {42127, 43554}, {42150, 42977}, {42151, 42976}, {42157, 49859}, {42158, 49860}, {42413, 43255}, {42414, 43254}, {42504, 43310}, {42505, 43311}, {42510, 52080}, {42511, 52079}, {42524, 53130}, {42525, 53131}, {42528, 42997}, {42529, 42996}, {42625, 49826}, {42626, 49827}, {43320, 52047}, {43321, 52048}, {43645, 43778}, {43646, 43777}, {46264, 50994}, {49855, 49914}, {49858, 49911}, {50809, 51097}, {50810, 51096}, {50819, 51067}, {50828, 61274}, {50966, 51737}, {50967, 55618}, {50971, 55654}, {50975, 51142}, {50989, 54169}, {50992, 55636}, {51083, 51119}, {51176, 54173}, {51186, 55656}, {51187, 55622}, {51212, 55683}, {51537, 55662}, {52666, 60298}, {52667, 60297}, {54132, 55703}, {55691, 59373}, {60127, 60287}, {60150, 60638}

X(62077) = midpoint of X(i) and X(j) for these {i,j}: {376, 10299}
X(62077) = reflection of X(i) in X(j) for these {i,j}: {5079, 549}
X(62077) = anticomplement of X(61941)
X(62077) = pole of line {69, 33699} with respect to the Wallace hyperbola
X(62077) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(33699)}}, {{A, B, C, X(3856), X(15740)}}, {{A, B, C, X(3858), X(54838)}}, {{A, B, C, X(5073), X(54667)}}, {{A, B, C, X(5079), X(18317)}}, {{A, B, C, X(15694), X(18852)}}, {{A, B, C, X(33923), X(54660)}}
X(62077) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15640, 3860}, {2, 15690, 11001}, {2, 15697, 15685}, {3, 11001, 15719}, {3, 11539, 15692}, {3, 15686, 15708}, {3, 15688, 15686}, {3, 15689, 15723}, {3, 15722, 6908}, {3, 3534, 11812}, {3, 3850, 15717}, {3, 5067, 10299}, {3, 548, 5059}, {3, 6891, 15695}, {3, 6961, 5073}, {4, 12812, 3855}, {4, 3524, 15694}, {20, 15715, 15709}, {30, 549, 5079}, {376, 10299, 30}, {376, 15709, 20}, {376, 3524, 3529}, {546, 12103, 6985}, {550, 15701, 15640}, {3522, 3524, 376}, {3524, 3543, 3533}, {3534, 15693, 14269}, {3534, 15720, 3830}, {3534, 15722, 12101}, {3534, 8703, 3522}, {3545, 11001, 15682}, {3627, 6913, 546}, {3858, 11539, 547}, {5055, 15683, 1532}, {5059, 15692, 11539}, {5059, 15708, 11737}, {8703, 12100, 15688}, {10304, 14093, 3528}, {11001, 15702, 3845}, {11001, 15719, 3545}, {12100, 14869, 15693}, {12100, 15685, 2}, {12100, 15688, 15697}, {12100, 15697, 4}, {12101, 15698, 6967}, {12101, 15711, 15722}, {12101, 15759, 15711}, {13741, 15692, 15707}, {14891, 15696, 3839}, {15640, 15701, 5071}, {15640, 15705, 15701}, {15682, 15698, 631}, {15682, 15710, 15698}, {15683, 17504, 3525}, {15686, 15694, 3543}, {15689, 15714, 3523}, {15691, 15706, 3091}, {15692, 15720, 3524}, {15695, 15722, 3534}, {15708, 16239, 15702}

X(62078) = X(2)X(3)∩X(165)X(3621)

X(62078) lies on these lines: {2, 3}, {99, 32880}, {165, 3621}, {193, 55614}, {315, 32881}, {397, 43428}, {398, 43429}, {576, 33750}, {3592, 9543}, {3594, 43512}, {3617, 16192}, {3620, 55651}, {3622, 12512}, {3623, 7991}, {4297, 4678}, {5237, 43031}, {5238, 43030}, {5351, 42967}, {5352, 42966}, {5550, 59420}, {5731, 20014}, {5921, 55649}, {6053, 15020}, {6361, 31666}, {6425, 42637}, {6426, 42638}, {6433, 43382}, {6434, 43383}, {6439, 42574}, {6440, 42575}, {6459, 43884}, {6460, 43883}, {6519, 42522}, {6522, 42523}, {6776, 55637}, {7771, 32872}, {7782, 32840}, {9588, 50801}, {9589, 58225}, {9729, 16981}, {9778, 30389}, {10519, 55647}, {11002, 17704}, {11008, 55622}, {11179, 55611}, {11202, 54211}, {14683, 15021}, {14853, 55679}, {14907, 32841}, {14912, 55602}, {14927, 55656}, {14930, 22332}, {15028, 55166}, {15029, 48375}, {16189, 50808}, {16644, 43556}, {16645, 43557}, {16772, 51944}, {16773, 51945}, {17852, 19053}, {19876, 51081}, {20080, 31884}, {22330, 51028}, {23060, 58266}, {25406, 55626}, {28164, 46931}, {31425, 50864}, {33748, 55724}, {33751, 55652}, {33884, 45187}, {34473, 35369}, {35242, 47745}, {37640, 43495}, {37641, 43496}, {38314, 58229}, {39874, 55648}, {40107, 50975}, {40330, 55658}, {42099, 42593}, {42100, 42592}, {42147, 51916}, {42148, 51915}, {42154, 43480}, {42155, 43479}, {42164, 43772}, {42165, 43771}, {42225, 43435}, {42226, 43434}, {42413, 43561}, {42414, 43560}, {42528, 43775}, {42529, 43776}, {42598, 43326}, {42599, 43327}, {42785, 55670}, {42793, 49812}, {42794, 49813}, {42982, 43777}, {42983, 43778}, {43193, 43773}, {43194, 43774}, {43621, 55664}, {46264, 55650}, {46934, 58221}, {48873, 55677}, {50809, 61286}, {50967, 55617}, {51118, 58217}, {51170, 53097}, {51171, 55684}, {51709, 58223}, {53093, 61044}, {53858, 54170}, {54132, 55704}, {54174, 55597}, {55286, 61136}, {60147, 60728}

X(62078) = pole of line {185, 61798} with respect to the Jerabek hyperbola
X(62078) = pole of line {69, 50690} with respect to the Wallace hyperbola
X(62078) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(50690)}}, {{A, B, C, X(1217), X(15703)}}, {{A, B, C, X(3346), X(5055)}}, {{A, B, C, X(12101), X(32533)}}, {{A, B, C, X(15319), X(41099)}}
X(62078) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11346, 7504}, {2, 17568, 5177}, {3, 12103, 631}, {3, 13587, 13731}, {3, 15688, 12103}, {3, 15696, 3628}, {3, 17538, 10303}, {3, 3091, 15717}, {3, 3525, 15692}, {3, 3529, 3523}, {3, 3534, 14869}, {3, 3627, 3524}, {3, 3628, 10299}, {3, 5079, 12100}, {3, 548, 3529}, {3, 550, 3525}, {4, 631, 15703}, {20, 15721, 4}, {20, 3091, 11541}, {20, 3523, 381}, {20, 3524, 5068}, {20, 5073, 15683}, {20, 8703, 3522}, {140, 11541, 3091}, {140, 376, 20}, {140, 381, 5067}, {140, 3856, 15699}, {376, 15759, 15708}, {376, 3524, 15685}, {381, 632, 3090}, {548, 11812, 550}, {550, 15692, 3832}, {631, 15683, 3854}, {3091, 15640, 12102}, {3091, 5067, 15022}, {3146, 15704, 5059}, {3146, 15705, 12108}, {3146, 3832, 5076}, {3522, 15717, 376}, {3523, 17578, 2}, {3524, 10109, 15721}, {3525, 15682, 12811}, {3529, 12102, 15640}, {3529, 15022, 17578}, {5059, 15698, 6872}, {5192, 17549, 2478}, {8703, 14891, 15688}, {10299, 15696, 3543}, {10303, 17538, 3146}, {11001, 15712, 7486}, {15685, 15693, 10109}, {15693, 17800, 6929}, {15704, 17504, 632}

X(62079) = X(2)X(3)∩X(61)X(42684)

X(62079) lies on these lines: {2, 3}, {61, 42684}, {62, 42685}, {397, 51915}, {398, 51916}, {524, 55628}, {1353, 55606}, {1503, 55652}, {3564, 55641}, {3630, 55638}, {3653, 58225}, {4297, 59400}, {4301, 50832}, {5188, 32523}, {5349, 42593}, {5350, 42592}, {5493, 58232}, {5881, 50822}, {6411, 43430}, {6412, 43431}, {6425, 43338}, {6426, 43339}, {6445, 43382}, {6446, 43383}, {6447, 42637}, {6448, 42638}, {7991, 61284}, {8550, 55617}, {9681, 43525}, {10147, 43258}, {10148, 43259}, {10283, 12512}, {10645, 42922}, {10646, 42923}, {11482, 33750}, {12007, 52987}, {13348, 45956}, {15023, 20127}, {15042, 61598}, {15069, 51184}, {16192, 38112}, {20190, 48874}, {21850, 55681}, {22234, 51138}, {22251, 38788}, {29181, 55675}, {30389, 61279}, {31447, 38081}, {33751, 43150}, {34380, 55620}, {38022, 50816}, {38079, 50972}, {38083, 51081}, {38110, 55677}, {38136, 55669}, {39884, 55657}, {42087, 42964}, {42088, 42965}, {42101, 43468}, {42102, 43467}, {42108, 42493}, {42109, 42492}, {42117, 42686}, {42118, 42687}, {42135, 42954}, {42138, 42955}, {42139, 43647}, {42142, 43648}, {42149, 51945}, {42152, 51944}, {42528, 42935}, {42529, 42934}, {42612, 43302}, {42613, 43303}, {42694, 43402}, {42695, 43401}, {42777, 42891}, {42778, 42890}, {42900, 42957}, {42901, 42956}, {42998, 43640}, {42999, 43639}, {43010, 43631}, {43011, 43630}, {43340, 43879}, {43341, 43880}, {43483, 43783}, {43484, 43784}, {43544, 43633}, {43545, 43632}, {44882, 55647}, {48876, 55644}, {48881, 55679}, {48906, 55631}, {50808, 58240}, {50830, 61297}, {50965, 55718}, {50979, 55583}, {51140, 55611}, {51163, 55664}, {51182, 55623}, {51737, 55588}, {55687, 59399}, {58219, 59420}, {61247, 61524}

X(62079) = midpoint of X(i) and X(j) for these {i,j}: {376, 15716}
X(62079) = reflection of X(i) in X(j) for these {i,j}: {15723, 12100}, {3855, 140}, {5, 15720}
X(62079) = pole of line {185, 61801} with respect to the Jerabek hyperbola
X(62079) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 12103, 14869}, {3, 12108, 17504}, {3, 15688, 17538}, {3, 15696, 3090}, {3, 15704, 549}, {3, 20, 12108}, {3, 3090, 12100}, {3, 3146, 3530}, {3, 3534, 10303}, {3, 376, 546}, {3, 5072, 15717}, {3, 5076, 3524}, {3, 546, 15712}, {3, 548, 15704}, {3, 550, 632}, {5, 15712, 11812}, {5, 8703, 3522}, {30, 12100, 15723}, {30, 140, 3855}, {140, 12811, 17697}, {140, 3543, 5}, {376, 15716, 30}, {548, 15759, 4}, {548, 3856, 15696}, {548, 549, 550}, {1657, 12108, 6924}, {3090, 6985, 15687}, {3522, 3534, 548}, {3523, 11357, 15721}, {3525, 5072, 3628}, {3526, 3534, 5073}, {3530, 12101, 3533}, {3530, 15686, 3858}, {3534, 14269, 15683}, {3627, 3628, 3857}, {3628, 5066, 5079}, {3853, 10299, 15713}, {3855, 15022, 5072}, {5073, 15720, 5056}, {6891, 15718, 15688}, {6949, 15697, 3534}, {10299, 15689, 3853}, {12103, 14869, 3627}, {14890, 15691, 15640}, {15022, 17538, 17800}, {15022, 17697, 7486}, {15698, 17538, 15022}, {15698, 17800, 140}

X(62080) = X(2)X(3)∩X(599)X(33751)

X(62080) lies on these lines: {2, 3}, {524, 55624}, {528, 38637}, {541, 38638}, {542, 38633}, {543, 38634}, {599, 33751}, {3098, 50973}, {3411, 42509}, {3412, 42508}, {3579, 34748}, {3655, 50814}, {4746, 51080}, {4816, 50811}, {5092, 50968}, {6417, 53131}, {6418, 53130}, {6496, 35822}, {6497, 35823}, {6500, 52048}, {6501, 52047}, {7988, 58216}, {8148, 50808}, {9530, 38639}, {9541, 43415}, {9691, 19054}, {9778, 61280}, {10645, 43646}, {10646, 43645}, {11178, 50976}, {11179, 50970}, {11645, 55654}, {11693, 37853}, {12512, 61277}, {12699, 50816}, {13624, 50812}, {13903, 43256}, {13961, 43257}, {15533, 55637}, {15534, 55602}, {16962, 42625}, {16963, 42626}, {17502, 61274}, {18440, 50971}, {18492, 51088}, {18493, 34638}, {18525, 50815}, {19924, 55682}, {21358, 55657}, {25561, 55662}, {28150, 58218}, {28194, 58230}, {28198, 61275}, {28202, 58221}, {28208, 61254}, {28216, 58226}, {31487, 42418}, {31670, 50972}, {31673, 51081}, {34718, 51082}, {35242, 50798}, {36836, 42631}, {36843, 42632}, {37712, 38066}, {38072, 55670}, {38127, 61247}, {38747, 48657}, {42115, 42529}, {42116, 42528}, {42125, 43100}, {42128, 43107}, {42154, 42894}, {42155, 42895}, {42566, 43795}, {42567, 43796}, {42586, 49907}, {42587, 49908}, {42690, 43200}, {42691, 43199}, {42910, 43780}, {42911, 43779}, {42984, 43637}, {42985, 43636}, {43014, 43304}, {43015, 43305}, {43273, 55639}, {44456, 50965}, {47353, 55655}, {48662, 55651}, {48880, 50963}, {48906, 51178}, {50810, 61292}, {50819, 61524}, {50828, 58224}, {50832, 58228}, {50955, 55646}, {51024, 55672}, {51104, 58235}, {51135, 54169}, {51136, 55632}, {51140, 55607}, {51705, 61284}, {51737, 55584}, {54131, 55678}, {58249, 61282}

X(62080) = midpoint of X(i) and X(j) for these {i,j}: {376, 15705}, {15689, 15707}
X(62080) = reflection of X(i) in X(j) for these {i,j}: {15706, 15710}, {15707, 3}, {15709, 17504}, {381, 15709}, {5054, 15705}, {5055, 15707}
X(62080) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(15707)}}, {{A, B, C, X(3858), X(52441)}}, {{A, B, C, X(12103), X(57822)}}, {{A, B, C, X(58203), X(60122)}}
X(62080) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 376, 12103}, {3, 15681, 15701}, {3, 15684, 15693}, {3, 15685, 549}, {3, 15688, 15689}, {3, 15695, 15681}, {3, 15696, 3851}, {3, 15703, 12100}, {3, 30, 15707}, {3, 3534, 15694}, {3, 3830, 15718}, {4, 15714, 15716}, {5, 12108, 3533}, {5, 376, 3534}, {20, 15759, 15700}, {20, 16434, 550}, {30, 15705, 5054}, {30, 15709, 381}, {30, 15710, 15706}, {30, 17504, 15709}, {376, 12100, 1657}, {381, 3534, 3529}, {381, 6958, 17800}, {548, 5067, 15696}, {549, 15696, 15685}, {549, 3861, 2}, {1657, 12100, 15703}, {1657, 15703, 3830}, {1657, 5054, 3839}, {3090, 3525, 16864}, {3146, 3523, 5067}, {3522, 3529, 548}, {3524, 15689, 5073}, {3524, 3534, 14269}, {3524, 3545, 10303}, {3524, 5054, 15722}, {3528, 8703, 14093}, {3533, 5046, 140}, {3534, 10303, 15684}, {3534, 15693, 12101}, {3534, 15720, 3543}, {3543, 15711, 15720}, {3851, 5070, 12812}, {5054, 15688, 376}, {8703, 10304, 15688}, {10124, 12101, 5}, {10304, 15688, 3}, {11001, 14891, 3526}, {11812, 17504, 3524}, {14093, 15688, 10304}, {14269, 15694, 5055}, {15681, 15701, 3843}, {15682, 15712, 15723}, {15684, 15693, 5070}, {15686, 15698, 1656}, {15688, 15689, 15695}, {15689, 15707, 30}, {15690, 15692, 382}, {50976, 55656, 11178}

X(62081) = X(2)X(3)∩X(165)X(31145)

X(62081) lies on these lines: {2, 3}, {165, 31145}, {182, 50969}, {193, 55607}, {524, 55622}, {542, 55642}, {633, 33613}, {634, 33612}, {962, 50812}, {1131, 43209}, {1132, 43210}, {1350, 51214}, {1385, 50813}, {1992, 55591}, {3579, 20014}, {3623, 51705}, {3654, 20052}, {4297, 50871}, {4678, 35242}, {5032, 50965}, {5097, 51028}, {5102, 54170}, {5237, 49876}, {5238, 49875}, {5691, 51079}, {5731, 20049}, {5921, 33751}, {6411, 43889}, {6412, 43890}, {6419, 43794}, {6420, 43793}, {6429, 19054}, {6430, 19053}, {6431, 43511}, {6432, 43512}, {6433, 7585}, {6434, 7586}, {6437, 41946}, {6438, 41945}, {6481, 9541}, {6684, 50820}, {6776, 55633}, {7771, 32893}, {7802, 32873}, {8596, 34473}, {9542, 43797}, {9543, 42637}, {9681, 42524}, {9778, 30392}, {9956, 50863}, {10519, 55645}, {11160, 31884}, {11179, 55603}, {11180, 55649}, {11531, 50808}, {12512, 38314}, {14853, 55680}, {16192, 50815}, {16200, 34632}, {16241, 42903}, {16242, 42902}, {16267, 42891}, {16268, 42890}, {16981, 36987}, {18583, 51211}, {19875, 50868}, {19878, 58215}, {19883, 51119}, {19924, 55683}, {20057, 58248}, {20423, 55688}, {21356, 50971}, {21358, 51025}, {22235, 42588}, {22237, 42589}, {23302, 42586}, {23303, 42587}, {24206, 51216}, {25055, 50816}, {25406, 55618}, {32785, 43789}, {32786, 43790}, {32808, 51952}, {32809, 51953}, {32871, 48913}, {32879, 59634}, {33179, 50872}, {33750, 39561}, {34628, 38155}, {34638, 58221}, {35369, 38736}, {35770, 53130}, {35771, 53131}, {36990, 51134}, {37689, 44541}, {38747, 52695}, {41943, 42091}, {41944, 42090}, {42085, 43200}, {42086, 43199}, {42119, 51945}, {42120, 51944}, {42154, 43297}, {42155, 43296}, {42159, 42953}, {42162, 42952}, {42433, 49826}, {42434, 49827}, {42528, 42896}, {42529, 42897}, {42596, 43475}, {42597, 43476}, {42631, 42998}, {42632, 42999}, {42910, 43249}, {42911, 43248}, {42912, 43242}, {42913, 43243}, {43193, 49862}, {43194, 49861}, {43252, 49813}, {43253, 49812}, {44882, 51027}, {46267, 48873}, {47352, 50972}, {48310, 51165}, {48876, 51177}, {50664, 54132}, {50967, 55612}, {50968, 51212}, {50974, 55629}, {50984, 51537}, {51106, 58229}, {51137, 51213}, {51166, 59373}, {54173, 55636}, {54174, 55594}, {55711, 61044}

X(62081) = midpoint of X(i) and X(j) for these {i,j}: {376, 15715}, {3534, 5070}
X(62081) = reflection of X(i) in X(j) for these {i,j}: {15719, 3}, {15721, 15715}, {2, 15717}, {3525, 15716}, {5056, 15719}
X(62081) = anticomplement of X(61944)
X(62081) = pole of line {69, 51022} with respect to the Wallace hyperbola
X(62081) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(15719)}}, {{A, B, C, X(1494), X(50689)}}, {{A, B, C, X(3346), X(5079)}}, {{A, B, C, X(3839), X(52443)}}, {{A, B, C, X(15691), X(18850)}}, {{A, B, C, X(16251), X(35404)}}
X(62081) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 11001, 15708}, {3, 15686, 15702}, {3, 15688, 15690}, {3, 15696, 3850}, {3, 16239, 10299}, {3, 30, 15719}, {3, 3534, 11539}, {3, 550, 5067}, {20, 10299, 15022}, {20, 1656, 3146}, {20, 3523, 546}, {30, 15716, 3525}, {30, 15719, 5056}, {376, 15681, 15697}, {376, 15702, 15686}, {376, 3524, 15681}, {376, 3528, 14093}, {376, 5071, 3534}, {546, 14891, 549}, {549, 10109, 15694}, {550, 15698, 3839}, {631, 5068, 16859}, {1656, 3845, 3545}, {1657, 15711, 15709}, {3146, 3522, 548}, {3525, 3855, 1656}, {3525, 5056, 13742}, {3528, 8703, 10304}, {3534, 14891, 5071}, {3534, 15710, 3523}, {3534, 5070, 30}, {3543, 15708, 547}, {3545, 15690, 20}, {3545, 5067, 10109}, {5054, 15640, 5068}, {5054, 17538, 15640}, {5056, 15721, 15723}, {5071, 15710, 14891}, {8703, 10304, 3522}, {10124, 15697, 15683}, {10304, 15688, 15705}, {11001, 15708, 3832}, {15681, 15714, 3524}, {15682, 17504, 10303}, {15683, 15692, 2}, {15686, 15702, 3543}, {15689, 15759, 631}, {15691, 15695, 376}, {15691, 15700, 4}, {15692, 15718, 15717}, {15692, 15721, 15718}, {15695, 15700, 15691}, {15696, 17504, 15682}, {15705, 15717, 15716}, {15715, 15718, 15692}, {15719, 15723, 15721}

X(62082) = X(2)X(3)∩X(17)X(42131)

X(62082) lies on these lines: {2, 3}, {17, 42131}, {18, 42130}, {165, 18526}, {185, 54047}, {371, 43338}, {372, 43339}, {395, 42969}, {396, 42968}, {599, 55647}, {1587, 43413}, {1588, 43414}, {1699, 58219}, {2777, 15042}, {3519, 43713}, {3532, 34483}, {3763, 55660}, {5210, 7755}, {5237, 42934}, {5238, 42935}, {5351, 42626}, {5352, 42625}, {5365, 42585}, {5366, 42584}, {5418, 41948}, {5420, 41947}, {5493, 10246}, {5585, 7756}, {5734, 50813}, {5890, 55286}, {6144, 55615}, {6199, 42637}, {6241, 54044}, {6395, 42638}, {6408, 9541}, {6409, 18512}, {6410, 18510}, {6411, 8960}, {6412, 58866}, {6427, 53131}, {6428, 53130}, {6447, 41946}, {6448, 41945}, {6449, 41961}, {6450, 41962}, {6451, 41963}, {6452, 41964}, {6496, 42259}, {6497, 42258}, {6776, 55632}, {6781, 31467}, {7581, 9690}, {7582, 43383}, {7691, 13432}, {7850, 32821}, {8550, 55610}, {9540, 43411}, {10516, 55659}, {10606, 45185}, {10645, 41974}, {10646, 41973}, {10990, 32609}, {10991, 14692}, {11179, 55602}, {11480, 43302}, {11481, 43303}, {11485, 42684}, {11486, 42685}, {11522, 17502}, {11592, 15305}, {11623, 38731}, {11742, 39565}, {11898, 55639}, {12007, 33878}, {12307, 13431}, {12645, 43174}, {12702, 13607}, {13348, 54048}, {13623, 14528}, {13665, 51910}, {13785, 51911}, {13935, 43412}, {14677, 38638}, {14848, 50968}, {14862, 48672}, {15036, 38790}, {15040, 37853}, {15041, 30714}, {15069, 55644}, {15105, 32063}, {15513, 44541}, {15534, 55600}, {16192, 18525}, {16534, 38788}, {16644, 42959}, {16645, 42958}, {16960, 42798}, {16961, 42797}, {17851, 42523}, {18440, 55651}, {18493, 58221}, {18553, 55655}, {20417, 38723}, {22615, 43514}, {22644, 43513}, {25406, 55616}, {25555, 55676}, {26861, 43691}, {27082, 44683}, {28208, 31425}, {31447, 34628}, {31663, 59503}, {31884, 39899}, {32142, 52093}, {32903, 40686}, {33542, 34564}, {33544, 37489}, {33750, 53091}, {33751, 34507}, {34153, 38633}, {35450, 44762}, {36748, 59655}, {36836, 42528}, {36843, 42529}, {36967, 43427}, {36968, 43426}, {36990, 55658}, {37714, 50820}, {38028, 58224}, {38747, 52090}, {40341, 55633}, {40693, 42794}, {40694, 42793}, {42021, 44763}, {42085, 42690}, {42086, 42691}, {42087, 42688}, {42088, 42689}, {42090, 42818}, {42091, 42817}, {42096, 42908}, {42097, 42909}, {42099, 42954}, {42100, 42955}, {42115, 42150}, {42116, 42151}, {42121, 43770}, {42124, 43769}, {42126, 43239}, {42127, 43238}, {42129, 42432}, {42132, 42431}, {42144, 42495}, {42145, 42494}, {42149, 42686}, {42152, 42687}, {42153, 42964}, {42156, 42965}, {42157, 42816}, {42158, 42815}, {42262, 43379}, {42265, 43378}, {42270, 43559}, {42273, 43558}, {42433, 42974}, {42434, 42975}, {42775, 43103}, {42776, 43102}, {42920, 42951}, {42921, 42950}, {42938, 43645}, {42939, 43646}, {42978, 43632}, {42979, 43633}, {42980, 43022}, {42981, 43023}, {42992, 43193}, {42993, 43194}, {43150, 55649}, {43273, 55637}, {43340, 45384}, {43341, 45385}, {43374, 43519}, {43375, 43520}, {43517, 43560}, {43518, 43561}, {43630, 43870}, {43631, 43869}, {44882, 55643}, {46264, 55648}, {47352, 55675}, {47355, 55666}, {48872, 55670}, {48873, 55678}, {48874, 55697}, {48879, 55664}, {48880, 55671}, {48881, 55682}, {48885, 55673}, {48891, 55662}, {48892, 55654}, {48896, 55663}, {48898, 55656}, {48905, 55657}, {48906, 55624}, {48910, 55669}, {48920, 55665}, {50800, 51081}, {50962, 55595}, {50965, 55724}, {50972, 51173}, {51138, 51172}, {51140, 55606}, {51737, 55580}, {53023, 55668}, {54131, 55679}

X(62082) = pole of line {185, 61803} with respect to the Jerabek hyperbola
X(62082) = pole of line {69, 48942} with respect to the Wallace hyperbola
X(62082) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(381), X(14863)}}, {{A, B, C, X(3091), X(13623)}}, {{A, B, C, X(3146), X(34483)}}, {{A, B, C, X(3518), X(43713)}}, {{A, B, C, X(3519), X(3543)}}, {{A, B, C, X(3532), X(34484)}}, {{A, B, C, X(3832), X(14861)}}, {{A, B, C, X(3860), X(52441)}}, {{A, B, C, X(5059), X(26861)}}, {{A, B, C, X(10594), X(44763)}}, {{A, B, C, X(13596), X(14528)}}, {{A, B, C, X(13599), X(47478)}}, {{A, B, C, X(15700), X(40448)}}, {{A, B, C, X(26863), X(43691)}}, {{A, B, C, X(33703), X(42021)}}
X(62082) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15681, 631}, {3, 15688, 15696}, {3, 15695, 20}, {3, 17800, 549}, {3, 3528, 14093}, {3, 3534, 3526}, {3, 376, 382}, {3, 3830, 3530}, {3, 3843, 3524}, {3, 3851, 15712}, {3, 5, 15700}, {3, 5070, 12100}, {3, 5073, 3523}, {3, 550, 1656}, {3, 631, 15716}, {4, 10299, 10303}, {4, 15709, 5056}, {4, 3522, 548}, {4, 5056, 3857}, {20, 15698, 3628}, {20, 15712, 3851}, {20, 3628, 15684}, {20, 5054, 5076}, {140, 15693, 15720}, {140, 15704, 4}, {140, 550, 5059}, {376, 10304, 15759}, {376, 15717, 15704}, {376, 17504, 15685}, {376, 5059, 550}, {382, 15723, 3091}, {549, 15704, 3856}, {550, 3523, 5073}, {1656, 5054, 3533}, {1656, 5068, 5079}, {1657, 15720, 381}, {3522, 15712, 15695}, {3524, 12103, 3843}, {3529, 12100, 5070}, {3530, 17538, 3830}, {3530, 3857, 15709}, {3533, 5059, 3845}, {3534, 14093, 10304}, {3534, 15716, 5066}, {3843, 6850, 140}, {3845, 15759, 15698}, {3856, 15704, 15640}, {3856, 5055, 5072}, {6971, 15718, 17682}, {8703, 14093, 15688}, {10304, 15688, 15706}, {11541, 15708, 5}, {14813, 14814, 3543}, {14891, 15697, 14269}, {15640, 15704, 17800}, {15683, 15689, 3534}, {15684, 15698, 5054}, {15685, 17504, 15723}, {15688, 15693, 376}, {15690, 15710, 15694}, {15696, 15720, 1657}, {15700, 15708, 15693}, {15704, 15717, 5055}, {15704, 15759, 15717}, {15717, 15759, 3}, {42431, 42773, 42132}, {42432, 42774, 42129}, {42964, 43484, 42153}, {42965, 43483, 42156}

X(62083) = X(2)X(3)∩X(165)X(3625)

X(62083) lies on these lines: {2, 3}, {61, 42929}, {62, 42928}, {69, 55641}, {99, 32877}, {147, 52886}, {165, 3625}, {193, 55606}, {397, 51944}, {398, 51945}, {575, 33750}, {1352, 55652}, {2777, 15023}, {3098, 43814}, {3311, 43321}, {3312, 43320}, {3316, 43519}, {3317, 43520}, {3592, 42637}, {3594, 42638}, {3601, 4114}, {3620, 55649}, {3622, 31666}, {3630, 31884}, {3633, 5731}, {3635, 7991}, {3817, 58217}, {4297, 4668}, {4301, 58229}, {5032, 55721}, {5261, 59325}, {5274, 59319}, {5343, 43373}, {5344, 43372}, {5640, 40284}, {5921, 55646}, {6144, 25406}, {6200, 43883}, {6361, 61277}, {6396, 43884}, {6419, 43511}, {6420, 43512}, {6453, 42522}, {6454, 9541}, {6460, 9542}, {6480, 43382}, {6481, 43383}, {6488, 9692}, {6496, 23267}, {6497, 23273}, {6519, 7581}, {6522, 7582}, {6776, 55631}, {9588, 50815}, {9680, 43256}, {10519, 33751}, {10645, 42982}, {10646, 42983}, {10653, 42802}, {10654, 42801}, {11008, 55618}, {11179, 55600}, {11477, 33748}, {11480, 43242}, {11481, 43243}, {12250, 50414}, {12279, 40247}, {12512, 30389}, {13340, 55286}, {13347, 46865}, {13464, 50812}, {14853, 55681}, {14912, 55595}, {14927, 55654}, {15020, 37853}, {15178, 20070}, {15513, 37689}, {16189, 34632}, {16625, 20791}, {16964, 43480}, {16965, 43479}, {16982, 40280}, {17821, 54211}, {20053, 59417}, {20080, 55629}, {31652, 37665}, {31670, 55675}, {31730, 61275}, {32455, 53097}, {32876, 37668}, {34507, 50975}, {35242, 38127}, {37640, 43304}, {37641, 43305}, {38064, 51211}, {38068, 50863}, {39874, 55643}, {40330, 55657}, {40693, 43646}, {40694, 43645}, {41119, 42959}, {41120, 42958}, {41971, 43023}, {41972, 43022}, {42090, 43870}, {42091, 43869}, {42111, 43472}, {42114, 43471}, {42149, 42933}, {42152, 42932}, {42160, 43295}, {42161, 43294}, {42163, 42956}, {42166, 42957}, {42258, 42569}, {42259, 42568}, {42435, 42528}, {42436, 42529}, {42541, 43510}, {42542, 43509}, {42570, 43879}, {42571, 43880}, {42580, 43365}, {42581, 43364}, {42944, 51916}, {42945, 51915}, {43211, 60303}, {43212, 60304}, {43540, 43633}, {43541, 43632}, {43621, 55666}, {44846, 61154}, {46264, 55647}, {46724, 57896}, {46933, 61257}, {48873, 55679}, {50808, 58245}, {50813, 58232}, {50814, 61289}, {50967, 55611}, {50969, 55704}, {51028, 53858}, {51170, 55580}, {51171, 55687}, {51178, 55623}, {51212, 55684}, {51538, 55671}, {54132, 55708}, {59418, 60977}, {61307, 61314}

X(62083) = anticomplement of X(61945)
X(62083) = pole of line {185, 61804} with respect to the Jerabek hyperbola
X(62083) = pole of line {69, 50691} with respect to the Wallace hyperbola
X(62083) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(50691)}}, {{A, B, C, X(1217), X(15699)}}, {{A, B, C, X(3091), X(57896)}}, {{A, B, C, X(3346), X(5071)}}, {{A, B, C, X(3533), X(51348)}}, {{A, B, C, X(3832), X(52441)}}, {{A, B, C, X(3854), X(15740)}}, {{A, B, C, X(12811), X(31363)}}, {{A, B, C, X(15077), X(50687)}}, {{A, B, C, X(15696), X(60618)}}
X(62083) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 14093, 10304}, {2, 15705, 15718}, {2, 3522, 548}, {2, 3627, 3091}, {3, 10303, 15692}, {3, 12103, 3525}, {3, 15689, 5072}, {3, 15696, 546}, {3, 15704, 631}, {3, 17538, 2}, {3, 20, 10303}, {3, 3090, 15717}, {3, 3146, 3523}, {3, 5072, 15712}, {3, 5076, 3530}, {3, 546, 3524}, {3, 548, 17538}, {3, 550, 3090}, {3, 632, 10299}, {4, 631, 15699}, {20, 15692, 5056}, {20, 3523, 3839}, {20, 5056, 15640}, {376, 3525, 12103}, {548, 14891, 550}, {548, 5072, 16434}, {550, 16239, 15685}, {632, 17578, 6912}, {632, 3534, 11541}, {1657, 15718, 5}, {1657, 5054, 3843}, {3090, 12102, 3854}, {3146, 12102, 3543}, {3146, 16864, 3858}, {3146, 3854, 12102}, {3522, 10304, 20}, {3524, 15696, 5059}, {3524, 5059, 7486}, {3528, 8703, 3522}, {3530, 11001, 5068}, {3534, 10299, 3832}, {3627, 12103, 1657}, {3627, 14869, 12812}, {3832, 10299, 15721}, {3832, 16347, 5079}, {3832, 17590, 5071}, {3854, 15717, 5054}, {10299, 11541, 632}, {10299, 11737, 17533}, {10304, 15688, 15708}, {12100, 12812, 12108}, {12100, 14893, 14890}, {12100, 15688, 376}, {12103, 12108, 3627}, {12108, 17538, 3146}, {13633, 17504, 15702}, {15684, 15706, 11540}, {15685, 16239, 4}, {15695, 15710, 15683}, {16434, 17538, 15689}, {17504, 17800, 3533}

X(62084) = X(2)X(3)∩X(165)X(4816)

X(62084) lies on these lines: {2, 3}, {61, 52079}, {62, 52080}, {69, 33751}, {165, 4816}, {193, 55602}, {962, 31666}, {1352, 55650}, {1992, 55588}, {3316, 42267}, {3317, 42266}, {3592, 43338}, {3594, 43339}, {3618, 55679}, {3619, 55657}, {3620, 55648}, {4297, 4746}, {4301, 50812}, {5007, 14482}, {5334, 42686}, {5335, 42687}, {5343, 51916}, {5344, 51915}, {5351, 42119}, {5352, 42120}, {5368, 7738}, {5493, 50813}, {5734, 58232}, {5881, 50819}, {5921, 55643}, {6221, 43382}, {6337, 7850}, {6361, 30389}, {6398, 43383}, {6411, 13886}, {6412, 13939}, {6419, 42637}, {6420, 42638}, {6426, 9541}, {6427, 43511}, {6428, 43512}, {6453, 7581}, {6454, 7582}, {6459, 43798}, {6460, 43797}, {6494, 43321}, {6495, 43320}, {6776, 55626}, {7991, 13607}, {8164, 59325}, {8591, 38627}, {9143, 38626}, {9681, 43793}, {9778, 15178}, {10645, 42986}, {10646, 42987}, {11008, 55612}, {11177, 38628}, {11179, 55597}, {11440, 25712}, {11464, 32601}, {11468, 14810}, {11522, 58225}, {12007, 53097}, {12244, 15020}, {12317, 15021}, {13347, 43576}, {14912, 52987}, {14927, 55653}, {15012, 36987}, {15034, 37853}, {15036, 38791}, {15069, 50975}, {15644, 61136}, {16267, 43002}, {16268, 43003}, {18840, 54891}, {20080, 55624}, {20125, 38788}, {22236, 42684}, {22238, 42685}, {23267, 43430}, {23273, 43431}, {25406, 55606}, {28190, 46932}, {31425, 38074}, {31447, 50864}, {31670, 55677}, {33602, 42959}, {33603, 42958}, {33750, 53093}, {34632, 58240}, {35242, 59388}, {35369, 38634}, {35812, 43342}, {35813, 43343}, {35814, 42260}, {35815, 42261}, {37484, 55286}, {37640, 42795}, {37641, 42796}, {38021, 51083}, {40330, 55656}, {40693, 42892}, {40694, 42893}, {41963, 43256}, {41964, 43257}, {42103, 43468}, {42106, 43467}, {42121, 42688}, {42124, 42689}, {42139, 42954}, {42142, 42955}, {42147, 51945}, {42148, 51944}, {42159, 42901}, {42162, 42900}, {42215, 43884}, {42216, 43883}, {42431, 43544}, {42432, 43545}, {42433, 43481}, {42434, 43482}, {42813, 43447}, {42814, 43446}, {42926, 43020}, {42927, 43021}, {42950, 43473}, {42951, 43474}, {42980, 43232}, {42981, 43233}, {43150, 55647}, {43300, 43777}, {43301, 43778}, {43336, 43787}, {43337, 43788}, {43407, 43879}, {43408, 43880}, {43542, 43769}, {43543, 43770}, {43621, 55667}, {44882, 55641}, {46264, 55644}, {47743, 59319}, {48873, 55681}, {48874, 55701}, {48881, 55684}, {48885, 55675}, {48892, 55652}, {48906, 55620}, {50969, 51138}, {50982, 51177}, {51140, 55600}, {51176, 55628}, {51179, 55617}, {51212, 55687}, {51538, 55672}, {51705, 58245}, {53092, 61044}, {54170, 55718}, {55694, 59373}

X(62084) = midpoint of X(i) and X(j) for these {i,j}: {20, 3854}
X(62084) = reflection of X(i) in X(j) for these {i,j}: {4, 7486}
X(62084) = anticomplement of X(61946)
X(62084) = pole of line {185, 61807} with respect to the Jerabek hyperbola
X(62084) = pole of line {69, 62036} with respect to the Wallace hyperbola
X(62084) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3517), X(43713)}}, {{A, B, C, X(3526), X(18852)}}, {{A, B, C, X(3845), X(31371)}}, {{A, B, C, X(3851), X(13623)}}, {{A, B, C, X(3853), X(15077)}}, {{A, B, C, X(5066), X(18854)}}, {{A, B, C, X(5073), X(34483)}}, {{A, B, C, X(6995), X(54891)}}, {{A, B, C, X(10304), X(18851)}}, {{A, B, C, X(11540), X(46412)}}, {{A, B, C, X(15022), X(18853)}}, {{A, B, C, X(15704), X(18849)}}, {{A, B, C, X(18847), X(50692)}}, {{A, B, C, X(32533), X(38335)}}, {{A, B, C, X(33923), X(46168)}}, {{A, B, C, X(34200), X(54660)}}, {{A, B, C, X(42021), X(49133)}}
X(62084) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 12103, 11541}, {3, 12103, 2}, {3, 13587, 9840}, {3, 14869, 15692}, {3, 15696, 3627}, {3, 15704, 10303}, {3, 1657, 14869}, {3, 17538, 3090}, {3, 20, 3525}, {3, 3525, 10299}, {3, 3529, 631}, {3, 3534, 3628}, {3, 3628, 15717}, {3, 5079, 15712}, {3, 550, 3091}, {4, 15717, 15709}, {4, 17538, 15704}, {4, 3524, 3526}, {4, 3525, 15022}, {4, 5067, 5066}, {20, 10299, 3545}, {20, 15705, 1656}, {20, 3522, 15688}, {20, 3854, 30}, {376, 10304, 15698}, {376, 15709, 3534}, {376, 15710, 15682}, {376, 3090, 17538}, {548, 15759, 550}, {549, 15704, 546}, {550, 3526, 15683}, {1657, 15692, 5067}, {3146, 10303, 5072}, {3522, 10304, 548}, {3522, 3528, 376}, {3522, 8703, 3528}, {3523, 11001, 3855}, {3523, 15696, 11001}, {3526, 17800, 3861}, {3530, 15689, 5059}, {3530, 5059, 5071}, {3545, 15698, 549}, {3627, 15689, 7580}, {3627, 15693, 16408}, {3627, 15703, 6915}, {3830, 15716, 15713}, {3845, 5054, 17532}, {3857, 12103, 17800}, {5072, 15704, 3146}, {10303, 15704, 4}, {10304, 15683, 15759}, {14093, 15688, 3830}, {14093, 15759, 10304}, {15683, 15759, 3524}, {15686, 15720, 17578}, {15696, 16239, 20}, {15698, 16434, 3529}, {15716, 16239, 3523}

X(62085) = X(2)X(3)∩X(17)X(43033)

X(62085) lies on these lines: {2, 3}, {17, 43033}, {18, 43032}, {40, 32900}, {165, 12645}, {524, 55620}, {542, 55641}, {599, 55644}, {1131, 43787}, {1132, 43788}, {1384, 9607}, {1503, 55648}, {1853, 32903}, {3312, 9681}, {3411, 11481}, {3412, 11480}, {3564, 55632}, {3579, 61296}, {3653, 50816}, {3763, 55659}, {4297, 59503}, {4301, 61277}, {4316, 9656}, {4324, 9671}, {4325, 5217}, {4330, 5204}, {4338, 37600}, {5010, 9657}, {5023, 7765}, {5122, 37723}, {5188, 32519}, {5206, 44541}, {5237, 42626}, {5238, 42625}, {5351, 42975}, {5352, 42974}, {5418, 53517}, {5420, 53520}, {5550, 28182}, {5585, 7748}, {5657, 61246}, {5731, 61292}, {5734, 61280}, {5790, 16192}, {5881, 31663}, {5882, 50814}, {5965, 55622}, {6144, 55608}, {6200, 31487}, {6279, 35246}, {6280, 35247}, {6361, 58230}, {6411, 35812}, {6412, 35813}, {6417, 42637}, {6418, 42638}, {6427, 53130}, {6428, 53131}, {6445, 6460}, {6446, 6459}, {6451, 9680}, {6452, 13961}, {6455, 18512}, {6456, 18510}, {6472, 42522}, {6473, 42523}, {6496, 6560}, {6497, 6561}, {6500, 43511}, {6501, 43512}, {6684, 61257}, {6776, 55624}, {6781, 31457}, {7280, 9670}, {7581, 9691}, {7728, 15042}, {8148, 61281}, {8550, 50970}, {8567, 52102}, {8588, 44519}, {8589, 31467}, {8717, 18350}, {9588, 18525}, {9589, 13624}, {9624, 17502}, {9655, 59325}, {9668, 59319}, {9690, 19117}, {9698, 53095}, {9778, 37624}, {9862, 38635}, {10164, 61258}, {10246, 12512}, {10516, 55658}, {10541, 50968}, {10574, 55286}, {10645, 43193}, {10646, 43194}, {10990, 15039}, {11017, 33879}, {11179, 55595}, {11202, 48672}, {11204, 34780}, {11362, 18526}, {11495, 37535}, {11592, 15058}, {11645, 55652}, {11898, 31884}, {12111, 54044}, {12163, 45184}, {12244, 38638}, {12248, 38636}, {12253, 38639}, {12316, 20585}, {12383, 38633}, {12702, 61287}, {12902, 15057}, {13172, 38634}, {13199, 38637}, {13340, 14531}, {13491, 54041}, {13598, 40284}, {13665, 42578}, {13785, 42579}, {14810, 15069}, {14848, 55687}, {14981, 38742}, {15036, 38789}, {15040, 15063}, {15041, 23236}, {15045, 58533}, {15067, 52093}, {15086, 40930}, {15326, 31452}, {15484, 15515}, {15534, 55597}, {15606, 34783}, {15748, 44866}, {15815, 31470}, {16003, 38723}, {16772, 42091}, {16773, 42090}, {16936, 52099}, {16960, 42891}, {16961, 42890}, {16964, 42818}, {16965, 42817}, {17814, 46945}, {18440, 55649}, {18481, 38127}, {19106, 42950}, {19107, 42951}, {19116, 43415}, {19924, 55684}, {22236, 42528}, {22238, 42529}, {22793, 61271}, {23251, 42558}, {23261, 42557}, {25406, 55604}, {25555, 51173}, {29181, 55678}, {29317, 55671}, {29323, 55662}, {30389, 50812}, {31414, 35255}, {31425, 61256}, {31730, 61276}, {32609, 37853}, {33542, 37486}, {33543, 33544}, {33749, 53097}, {33750, 48874}, {33884, 45957}, {35242, 37712}, {36836, 42990}, {36843, 42991}, {36967, 42989}, {36968, 42988}, {36969, 42773}, {36970, 42774}, {36987, 37481}, {36990, 55657}, {37483, 43845}, {37725, 38754}, {38064, 50972}, {38066, 50815}, {38068, 51081}, {38803, 52698}, {39899, 55629}, {40107, 55646}, {40341, 55627}, {40647, 54048}, {42089, 42692}, {42092, 42693}, {42093, 43636}, {42094, 43637}, {42096, 42489}, {42097, 42488}, {42115, 42147}, {42116, 42148}, {42125, 42491}, {42126, 42531}, {42127, 42530}, {42128, 42490}, {42129, 44016}, {42130, 42153}, {42131, 42156}, {42132, 44015}, {42164, 51916}, {42165, 51915}, {42275, 42567}, {42276, 42566}, {42570, 43407}, {42571, 43408}, {42797, 43245}, {42798, 43244}, {42928, 43235}, {42929, 43234}, {42934, 43251}, {42935, 43250}, {42958, 42972}, {42959, 42973}, {43174, 51080}, {43273, 55631}, {44882, 55639}, {46264, 55643}, {47352, 55677}, {47355, 48920}, {48872, 55672}, {48873, 55682}, {48879, 55666}, {48880, 55673}, {48884, 55663}, {48885, 55676}, {48891, 55660}, {48892, 55651}, {48896, 55661}, {48898, 55654}, {48904, 55664}, {48905, 55655}, {48906, 55616}, {48910, 55670}, {50797, 50820}, {50806, 51083}, {50821, 61252}, {50954, 50976}, {50962, 52987}, {50965, 55580}, {50969, 51172}, {50973, 55614}, {51705, 61282}, {51737, 55724}, {53023, 55669}, {54131, 55681}, {55653, 59411}, {58220, 61272}, {58247, 61283}, {59417, 61297}, {59655, 61301}

X(62085) = midpoint of X(i) and X(j) for these {i,j}: {20, 3855}, {3534, 15723}
X(62085) = reflection of X(i) in X(j) for these {i,j}: {15720, 3}, {15723, 15716}, {5070, 15717}, {5072, 15720}
X(62085) = pole of line {185, 15693} with respect to the Jerabek hyperbola
X(62085) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(546), X(52441)}}, {{A, B, C, X(1105), X(15693)}}, {{A, B, C, X(1294), X(15720)}}, {{A, B, C, X(3519), X(50690)}}, {{A, B, C, X(5879), X(54006)}}, {{A, B, C, X(12101), X(21400)}}, {{A, B, C, X(15640), X(34483)}}, {{A, B, C, X(15700), X(60007)}}, {{A, B, C, X(15740), X(41106)}}, {{A, B, C, X(44903), X(60122)}}, {{A, B, C, X(58195), X(60618)}}
X(62085) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 140, 15706}, {3, 15681, 140}, {3, 15689, 4}, {3, 15694, 10299}, {3, 15695, 550}, {3, 15720, 15716}, {3, 1656, 15700}, {3, 17538, 5079}, {3, 17800, 631}, {3, 20, 3526}, {3, 30, 15720}, {3, 3522, 15688}, {3, 3534, 1656}, {3, 3830, 3523}, {3, 3843, 3530}, {3, 3851, 3524}, {3, 5055, 15712}, {3, 5070, 15717}, {3, 5073, 549}, {3, 548, 15696}, {4, 12108, 15703}, {4, 15705, 12108}, {5, 10124, 13735}, {5, 12102, 3832}, {5, 3861, 3854}, {5, 548, 376}, {20, 15717, 3855}, {20, 3526, 382}, {20, 3530, 3843}, {20, 3853, 17800}, {20, 3855, 30}, {20, 631, 3853}, {30, 15716, 15723}, {30, 15717, 5070}, {140, 15681, 5076}, {376, 10304, 12100}, {376, 3523, 12103}, {381, 15688, 15695}, {381, 15693, 11539}, {381, 1657, 3146}, {548, 8703, 3528}, {549, 17538, 5073}, {550, 15714, 3628}, {550, 3544, 15681}, {550, 3628, 11001}, {631, 3528, 10304}, {631, 6941, 5068}, {632, 15691, 5059}, {1657, 15718, 5072}, {2041, 2042, 3850}, {3091, 17542, 3090}, {3523, 12103, 3830}, {3524, 17578, 16239}, {3526, 15696, 20}, {3529, 15712, 5055}, {3543, 5068, 6844}, {3627, 10299, 15694}, {3850, 15713, 6933}, {4325, 5217, 31480}, {5054, 15716, 15718}, {5059, 15698, 632}, {6451, 42259, 13903}, {6452, 42258, 13961}, {6455, 42261, 18512}, {6456, 42260, 18510}, {6893, 12108, 17678}, {8703, 15688, 14093}, {10299, 15759, 3}, {10304, 11001, 15714}, {10304, 15695, 381}, {11001, 15714, 15707}, {12108, 15689, 1657}, {14093, 15688, 3534}, {14893, 16239, 5}, {15681, 15722, 3839}, {15686, 15710, 15701}, {15688, 15696, 548}, {15690, 15712, 3529}, {15691, 15698, 14269}, {15693, 15703, 5054}, {15697, 17504, 15684}, {15703, 15705, 15693}, {15703, 15718, 15721}, {15704, 16239, 17578}, {16239, 17578, 3851}, {42490, 43633, 42128}, {42491, 43632, 42125}, {48920, 55667, 47355}

X(62086) = X(1)X(50813)∩X(2)X(3)

X(62086) lies on these lines: {1, 50813}, {2, 3}, {6, 50969}, {10, 50820}, {69, 51177}, {141, 50976}, {524, 55618}, {542, 55640}, {590, 43787}, {615, 43788}, {1056, 51817}, {1125, 51083}, {1992, 55587}, {3098, 50974}, {3579, 20053}, {3625, 50811}, {3630, 43273}, {3633, 50810}, {3655, 50809}, {4668, 50819}, {4718, 51044}, {4726, 51042}, {4764, 51043}, {5318, 43554}, {5321, 43555}, {5334, 43494}, {5335, 43493}, {5339, 33605}, {5340, 33604}, {5351, 49812}, {5352, 49813}, {6144, 50967}, {6361, 50812}, {6409, 43256}, {6410, 43257}, {6429, 7581}, {6430, 7582}, {6433, 41961}, {6434, 41962}, {6438, 9541}, {6459, 6485}, {6460, 6484}, {6776, 55622}, {7736, 15602}, {7750, 32876}, {9693, 42525}, {10137, 19117}, {10138, 19116}, {11160, 55629}, {11179, 50966}, {11180, 50971}, {11278, 34632}, {11480, 43481}, {11481, 43482}, {11531, 51705}, {11693, 20125}, {12112, 46945}, {12243, 38736}, {13886, 51910}, {13939, 51911}, {14226, 43408}, {14241, 43407}, {14912, 55591}, {16267, 42091}, {16268, 42090}, {16962, 42120}, {16963, 42119}, {19924, 55685}, {20057, 58244}, {20423, 55691}, {21356, 55649}, {22165, 55641}, {23267, 52045}, {23269, 43209}, {23273, 52046}, {23275, 43210}, {25406, 55603}, {28194, 30392}, {28202, 54445}, {28232, 58227}, {31162, 50816}, {31662, 38314}, {32455, 50965}, {32822, 32888}, {32823, 32889}, {32877, 37671}, {33602, 42165}, {33603, 42164}, {33750, 55703}, {33751, 54173}, {34648, 51081}, {34754, 42528}, {34755, 42529}, {35770, 42638}, {35771, 42637}, {36836, 49875}, {36843, 49876}, {36889, 46724}, {37517, 54170}, {38021, 59420}, {38064, 55680}, {38742, 52695}, {38749, 52886}, {39874, 50975}, {41107, 41978}, {41108, 41977}, {41943, 42588}, {41944, 42589}, {42087, 43543}, {42088, 43542}, {42149, 42890}, {42150, 42436}, {42151, 42435}, {42152, 42891}, {42157, 49861}, {42158, 49862}, {42413, 42603}, {42414, 42602}, {42433, 42802}, {42434, 42801}, {42496, 42932}, {42497, 42933}, {42512, 43771}, {42513, 43772}, {42584, 43540}, {42585, 43541}, {42586, 42598}, {42587, 42599}, {42791, 42998}, {42792, 42999}, {42795, 43499}, {42796, 43500}, {42944, 49824}, {42945, 49825}, {42952, 43633}, {42953, 43632}, {42972, 43200}, {42973, 43199}, {43006, 43234}, {43007, 43235}, {43254, 52667}, {43255, 52666}, {43403, 51915}, {43404, 51916}, {43511, 52047}, {43512, 52048}, {43621, 51137}, {46264, 55642}, {46931, 50800}, {47354, 55656}, {48873, 55683}, {48892, 51023}, {48905, 51025}, {48906, 51179}, {50868, 51079}, {50873, 61268}, {50968, 51166}, {50972, 54131}, {50978, 55632}, {51077, 58248}, {51212, 55688}, {51537, 55659}, {51737, 55722}, {54132, 55711}, {55695, 59373}, {60325, 60629}

X(62086) = midpoint of X(i) and X(j) for these {i,j}: {376, 15710}, {15689, 15706}
X(62086) = reflection of X(i) in X(j) for these {i,j}: {15708, 3}, {15709, 15705}, {15710, 10304}, {2, 15706}, {3524, 15710}, {3545, 15708}
X(62086) = anticomplement of X(61948)
X(62086) = pole of line {69, 15684} with respect to the Wallace hyperbola
X(62086) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15684)}}, {{A, B, C, X(1294), X(15708)}}, {{A, B, C, X(3431), X(35501)}}, {{A, B, C, X(11738), X(18535)}}, {{A, B, C, X(17538), X(57822)}}, {{A, B, C, X(20421), X(55572)}}, {{A, B, C, X(21734), X(54660)}}
X(62086) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15718, 631}, {2, 20, 15684}, {2, 3543, 3850}, {2, 376, 17538}, {3, 11001, 15702}, {3, 11812, 15692}, {3, 15690, 3543}, {3, 15723, 12100}, {3, 20, 3533}, {3, 30, 15708}, {3, 3534, 547}, {3, 3543, 15719}, {3, 550, 3832}, {3, 6958, 15703}, {4, 17800, 6969}, {20, 15698, 5071}, {20, 15717, 3859}, {30, 10304, 15710}, {30, 15705, 15709}, {30, 15708, 3545}, {376, 15682, 550}, {376, 15759, 11541}, {376, 3529, 15697}, {376, 631, 3534}, {376, 8703, 3528}, {382, 15711, 15721}, {547, 3534, 5059}, {547, 3845, 3851}, {548, 8703, 14093}, {549, 15697, 3529}, {550, 15692, 15682}, {3522, 10304, 15688}, {3524, 11541, 15699}, {3524, 3528, 10304}, {3534, 15718, 3627}, {3534, 17504, 3839}, {3543, 15719, 5067}, {3545, 15719, 11539}, {3627, 17504, 14890}, {3628, 5076, 13587}, {3830, 15714, 15717}, {3832, 15692, 11812}, {3832, 5056, 12811}, {5054, 15684, 14892}, {5054, 15688, 15695}, {5054, 5076, 5055}, {5068, 13727, 5}, {6926, 15694, 3}, {10299, 15682, 17678}, {10304, 15688, 376}, {11001, 15702, 4}, {11001, 17538, 15686}, {11179, 55594, 51214}, {12100, 15683, 3090}, {12100, 15696, 15683}, {12103, 15694, 15640}, {14093, 15688, 15689}, {14093, 15695, 15712}, {14890, 17504, 15718}, {14892, 15689, 20}, {14892, 15712, 5054}, {15640, 15694, 3855}, {15681, 15759, 3523}, {15682, 15692, 3525}, {15684, 15712, 2}, {15686, 15712, 3845}, {15687, 15716, 10303}, {15688, 15689, 548}, {15689, 15706, 30}, {15690, 15719, 11001}, {15691, 15693, 3146}, {15705, 15709, 3524}, {15709, 15710, 15705}, {35242, 50815, 34627}, {50971, 55646, 11180}, {50975, 54169, 39874}

X(62087) = X(2)X(3)∩X(141)X(55652)

X(62087) lies on these lines: {2, 3}, {141, 55652}, {395, 43486}, {396, 43485}, {511, 55286}, {524, 55617}, {1151, 42643}, {1152, 42644}, {1353, 55595}, {1503, 55647}, {3564, 33751}, {3626, 28224}, {3629, 52987}, {3630, 55630}, {3631, 14810}, {3636, 28174}, {3656, 58229}, {5237, 42122}, {5238, 42123}, {5480, 55675}, {6030, 44755}, {6154, 51529}, {6329, 20190}, {6411, 13925}, {6412, 13993}, {6427, 42637}, {6428, 42638}, {6448, 9541}, {6519, 19117}, {6522, 19116}, {7728, 15023}, {8252, 12819}, {8253, 12818}, {8550, 55600}, {9729, 16982}, {9821, 32523}, {10147, 43523}, {10148, 43524}, {10575, 44324}, {10645, 43106}, {10646, 43105}, {11008, 55610}, {11592, 14915}, {12512, 15178}, {13391, 15012}, {13392, 16111}, {13624, 28216}, {14449, 36987}, {14677, 15034}, {14855, 31834}, {15020, 38788}, {15021, 34153}, {15051, 61598}, {15808, 17502}, {16772, 42798}, {16773, 42797}, {18358, 55655}, {18583, 55681}, {20583, 55718}, {21850, 55684}, {23302, 42905}, {23303, 42904}, {24981, 51522}, {25406, 55602}, {28150, 58219}, {28194, 58232}, {28202, 58223}, {29181, 55679}, {31666, 31730}, {33750, 55701}, {34380, 55606}, {34573, 55663}, {34773, 61294}, {35242, 61510}, {35255, 51910}, {35256, 51911}, {36967, 42938}, {36968, 42939}, {38098, 61249}, {38136, 55671}, {39884, 55654}, {40107, 50971}, {40273, 59420}, {40341, 55626}, {41107, 42794}, {41108, 42793}, {42147, 43110}, {42148, 43111}, {42150, 51945}, {42151, 51944}, {42157, 42497}, {42158, 42496}, {42160, 42628}, {42161, 42627}, {42163, 42585}, {42166, 42584}, {42433, 42779}, {42434, 42780}, {42528, 42924}, {42529, 42925}, {42580, 43196}, {42581, 43195}, {42625, 43635}, {42626, 43634}, {42635, 42791}, {42636, 42792}, {42795, 43775}, {42796, 43776}, {43197, 43631}, {43198, 43630}, {43230, 43401}, {43231, 43402}, {43244, 43773}, {43245, 43774}, {43546, 51915}, {43547, 51916}, {43576, 46865}, {44882, 55637}, {45187, 54042}, {46850, 54044}, {48874, 53093}, {48876, 55641}, {48881, 51732}, {48885, 55677}, {48892, 55650}, {48906, 55614}, {50771, 51587}, {50808, 61286}, {50824, 58245}, {50825, 61258}, {50872, 58236}, {50965, 55583}, {51163, 55667}, {51737, 55721}, {52099, 54434}, {55580, 61624}, {55646, 61545}

X(62087) = midpoint of X(i) and X(j) for these {i,j}: {20, 3850}, {376, 15759}, {550, 3530}, {3534, 10124}, {3628, 12103}, {10109, 15686}, {11812, 15691}, {12102, 15704}, {13392, 16111}, {14891, 15690}, {31730, 51700}, {48881, 51732}
X(62087) = reflection of X(i) in X(j) for these {i,j}: {11540, 14891}, {12108, 3}, {12811, 12108}, {3856, 140}
X(62087) = complement of X(62013)
X(62087) = pole of line {185, 61808} with respect to the Jerabek hyperbola
X(62087) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(12108)}}, {{A, B, C, X(3534), X(43970)}}, {{A, B, C, X(14938), X(41985)}}, {{A, B, C, X(58202), X(60122)}}
X(62087) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15689, 5076}, {3, 15696, 3146}, {3, 15704, 140}, {3, 1657, 10303}, {3, 16661, 7575}, {3, 20, 632}, {3, 30, 12108}, {3, 3090, 15712}, {3, 3146, 549}, {3, 3529, 14869}, {3, 3534, 3090}, {3, 376, 15704}, {3, 5072, 3524}, {3, 5076, 3523}, {5, 550, 15681}, {20, 12100, 3850}, {20, 15710, 15720}, {30, 12108, 12811}, {30, 140, 3856}, {30, 14891, 11540}, {140, 15685, 3861}, {140, 15704, 12102}, {140, 3091, 3628}, {140, 382, 11737}, {140, 548, 376}, {376, 10304, 15693}, {376, 15708, 3534}, {382, 15681, 5059}, {382, 15720, 5055}, {546, 12103, 3529}, {546, 12812, 3851}, {549, 3146, 12812}, {550, 15687, 20}, {550, 3529, 12103}, {550, 8703, 3528}, {632, 15687, 3544}, {1657, 15707, 3855}, {3091, 3529, 382}, {3522, 3528, 15688}, {3522, 8703, 548}, {3528, 10299, 10304}, {3528, 15688, 550}, {3529, 5079, 3627}, {3530, 14891, 10299}, {3530, 3627, 1010}, {3534, 15712, 3853}, {3627, 14869, 5079}, {3628, 12102, 3091}, {3845, 15704, 11541}, {3853, 15712, 10124}, {3857, 15704, 15640}, {5054, 6880, 3858}, {5055, 15693, 15702}, {5073, 11539, 3859}, {10109, 15686, 30}, {10299, 13725, 6947}, {10299, 15681, 5}, {10304, 15690, 14891}, {10304, 17538, 3}, {11737, 12102, 546}, {11737, 15759, 17504}, {12100, 15720, 3530}, {12101, 15692, 14890}, {12108, 12811, 16239}, {15681, 15702, 15687}, {15687, 15710, 12100}, {15688, 15700, 15695}, {15689, 15714, 5066}, {42629, 42947, 42166}, {42630, 42946, 42163}, {42797, 43419, 16773}, {42798, 43418, 16772}

X(62088) = X(2)X(3)∩X(13)X(42689)

X(62088) lies on these lines: {2, 3}, {13, 42689}, {14, 42688}, {15, 51944}, {16, 51945}, {40, 51087}, {165, 51515}, {182, 50968}, {524, 55616}, {542, 55639}, {590, 43336}, {599, 55643}, {615, 43337}, {944, 50830}, {1350, 51140}, {1353, 50966}, {1385, 50812}, {1483, 50809}, {2549, 15603}, {3311, 43338}, {3312, 43339}, {3622, 58228}, {3654, 4701}, {4297, 50827}, {5309, 15655}, {5318, 51915}, {5321, 51916}, {5339, 33606}, {5340, 33607}, {5476, 55678}, {5690, 50819}, {6199, 41946}, {6395, 41945}, {6417, 53130}, {6418, 53131}, {6447, 42525}, {6448, 42524}, {6451, 35822}, {6452, 35823}, {6455, 35815}, {6456, 35814}, {6472, 7581}, {6473, 7582}, {6496, 13846}, {6497, 13847}, {6500, 42637}, {6501, 42638}, {6684, 51079}, {6776, 50985}, {7989, 51088}, {8148, 51705}, {8976, 43209}, {10145, 19117}, {10146, 19116}, {11178, 55654}, {11179, 55593}, {11485, 42528}, {11486, 42529}, {11645, 50976}, {12007, 50965}, {12512, 37624}, {12699, 58224}, {13607, 50808}, {13951, 43210}, {14692, 38747}, {14810, 50955}, {14848, 48881}, {14927, 50954}, {15533, 55631}, {15534, 55595}, {16192, 28208}, {16644, 42691}, {16645, 42690}, {16808, 42984}, {16809, 42985}, {18451, 46945}, {19876, 28168}, {20423, 55692}, {21358, 55655}, {22236, 42631}, {22238, 42632}, {25561, 55660}, {31423, 50800}, {31663, 50798}, {33751, 43273}, {34483, 44763}, {35242, 38066}, {36836, 42935}, {36843, 42934}, {37853, 56567}, {38072, 55672}, {38633, 38723}, {38634, 38731}, {38635, 38742}, {38636, 38754}, {38638, 38788}, {41951, 43569}, {41952, 43568}, {42090, 42686}, {42091, 42687}, {42096, 42954}, {42097, 42955}, {42112, 42501}, {42113, 42500}, {42115, 42626}, {42116, 42625}, {42117, 42969}, {42118, 42968}, {42130, 42970}, {42131, 42971}, {42150, 42792}, {42151, 42791}, {42283, 43514}, {42284, 43513}, {42429, 43029}, {42430, 43028}, {42433, 49947}, {42434, 49948}, {42586, 43203}, {42587, 43204}, {42684, 42943}, {42685, 42942}, {42773, 49907}, {42774, 49908}, {42916, 42932}, {42917, 42933}, {43010, 43310}, {43011, 43311}, {43030, 43304}, {43031, 43305}, {43150, 55646}, {43211, 43340}, {43212, 43341}, {43430, 52045}, {43431, 52046}, {44456, 51737}, {44882, 50982}, {46267, 53094}, {47352, 48885}, {47353, 55653}, {48661, 50828}, {48662, 50977}, {48872, 50963}, {48873, 50972}, {48876, 50975}, {48920, 51137}, {50973, 55612}, {51024, 55674}, {51107, 58236}, {51138, 53091}, {51172, 61044}, {54131, 55682}, {54173, 55632}

X(62088) = midpoint of X(i) and X(j) for these {i,j}: {3526, 3534}, {16192, 50820}, {50976, 55651}
X(62088) = reflection of X(i) in X(j) for these {i,j}: {15701, 3}, {15703, 15700}, {381, 15702}, {3526, 15698}, {3528, 8703}, {3830, 3851}, {3851, 15701}, {50800, 31423}, {7989, 51088}
X(62088) = anticomplement of X(61949)
X(62088) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(15701)}}, {{A, B, C, X(3545), X(13623)}}, {{A, B, C, X(15691), X(57822)}}, {{A, B, C, X(33703), X(34483)}}, {{A, B, C, X(34484), X(44763)}}, {{A, B, C, X(43713), X(47485)}}
X(62088) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 376, 15691}, {3, 14269, 15693}, {3, 15685, 5054}, {3, 15688, 15695}, {3, 15695, 15689}, {3, 15696, 5073}, {3, 15722, 17504}, {3, 381, 15718}, {3, 3830, 15707}, {3, 550, 3843}, {4, 10304, 15759}, {4, 15759, 15706}, {5, 15710, 15716}, {20, 15693, 14269}, {20, 15715, 547}, {30, 15698, 3526}, {30, 15700, 15703}, {30, 8703, 3528}, {376, 15691, 15696}, {376, 15692, 15686}, {376, 15715, 20}, {376, 3543, 550}, {376, 8703, 14093}, {381, 15683, 15684}, {381, 15700, 15702}, {381, 3534, 15683}, {549, 11737, 17678}, {549, 14891, 15717}, {550, 14891, 3543}, {1656, 17504, 15722}, {1657, 15723, 15687}, {3522, 8703, 15688}, {3524, 15640, 3628}, {3524, 15687, 15723}, {3524, 15690, 1657}, {3526, 3534, 30}, {3528, 15698, 10304}, {3534, 15688, 548}, {3534, 15706, 4}, {3534, 5066, 15685}, {3830, 15707, 5070}, {3843, 5055, 5066}, {3845, 14890, 7486}, {3845, 15705, 15720}, {3854, 15717, 10303}, {5072, 15693, 15709}, {10304, 15695, 17800}, {11001, 15721, 14893}, {11001, 17504, 1656}, {12102, 14869, 3090}, {12103, 15711, 3545}, {14093, 15688, 376}, {14093, 15695, 15694}, {14093, 15696, 15714}, {14269, 15709, 5055}, {14869, 15715, 15700}, {14893, 17504, 15721}, {15640, 15690, 3534}, {15681, 15694, 3830}, {15681, 15700, 3851}, {15681, 15718, 381}, {15689, 15694, 15681}, {15691, 15714, 2}, {15697, 15710, 5}, {15700, 15703, 15701}, {15704, 15714, 549}, {15705, 17538, 3845}, {15706, 15759, 3}, {16192, 50820, 28208}, {50976, 55651, 11645}

X(62089) = X(2)X(3)∩X(182)X(51166)

X(62089) lies on these lines: {2, 3}, {182, 51166}, {355, 50820}, {524, 33751}, {542, 55636}, {551, 28216}, {597, 55685}, {946, 51083}, {962, 50832}, {1351, 50969}, {1352, 50976}, {1353, 51214}, {1385, 51120}, {1482, 50813}, {1503, 55645}, {3564, 55627}, {3654, 4816}, {3828, 28190}, {4746, 28204}, {5351, 43208}, {5352, 43207}, {5434, 51817}, {5690, 50871}, {5691, 50825}, {5921, 51184}, {6431, 53130}, {6432, 53131}, {6433, 42216}, {6434, 42215}, {6455, 43256}, {6456, 43257}, {6486, 32787}, {6487, 32788}, {6684, 50868}, {7690, 48781}, {7692, 48780}, {7753, 15602}, {8596, 38634}, {10171, 58216}, {10645, 42496}, {10646, 42497}, {11160, 55624}, {11179, 55591}, {11180, 55643}, {11278, 51705}, {11531, 50824}, {11694, 16111}, {11898, 51177}, {12512, 33179}, {13364, 55166}, {14810, 50971}, {15170, 37587}, {16241, 42584}, {16242, 42585}, {17502, 34638}, {18581, 42587}, {18582, 42586}, {18583, 55683}, {19924, 50972}, {20582, 55657}, {21356, 55648}, {22165, 55637}, {25565, 55664}, {28174, 31662}, {28198, 50816}, {29181, 46267}, {31663, 50815}, {34380, 55603}, {34648, 61614}, {34754, 42943}, {34755, 42942}, {35770, 52048}, {35771, 52047}, {36836, 43635}, {36843, 43634}, {36990, 50980}, {37517, 51737}, {37832, 42889}, {37835, 42888}, {38079, 55676}, {41121, 43027}, {41122, 43026}, {41149, 55588}, {41943, 42088}, {41944, 42087}, {42089, 42906}, {42092, 42907}, {42123, 61719}, {42258, 43888}, {42259, 43887}, {42429, 42500}, {42430, 42501}, {42431, 43107}, {42432, 43100}, {42433, 43109}, {42434, 43108}, {42631, 42924}, {42632, 42925}, {42686, 43419}, {42687, 43418}, {42799, 42928}, {42800, 42929}, {42898, 42912}, {42899, 42913}, {42944, 46335}, {42945, 46334}, {43102, 43402}, {43103, 43401}, {43209, 43211}, {43210, 43212}, {43273, 55622}, {43787, 45384}, {43788, 45385}, {44882, 55633}, {47354, 55655}, {48310, 55669}, {48874, 50968}, {48876, 51027}, {48881, 55691}, {48885, 50983}, {48898, 51134}, {48906, 55607}, {48920, 50959}, {50829, 61259}, {50965, 55587}, {50974, 55616}, {50978, 55629}, {50979, 55722}, {50984, 55659}, {50987, 51212}, {50988, 55671}, {51084, 51118}, {51137, 51163}, {51910, 52045}, {51911, 52046}, {54169, 55640}

X(62089) = midpoint of X(i) and X(j) for these {i,j}: {2, 12103}, {3, 15690}, {20, 5066}, {140, 3534}, {547, 15686}, {548, 8703}, {549, 15691}, {550, 12100}, {3853, 11001}, {11694, 16111}, {12101, 15704}, {14810, 50971}, {14893, 15681}, {31663, 50815}, {41149, 55588}, {48885, 50983}, {48920, 50959}
X(62089) = reflection of X(i) in X(j) for these {i,j}: {10109, 3530}, {10124, 14891}, {11737, 549}, {11812, 3}, {12102, 10109}, {3530, 15759}, {3628, 12100}, {3830, 12811}, {3845, 16239}, {3850, 11812}, {3860, 140}, {3861, 2}, {546, 11540}, {5066, 12108}, {50984, 55659}, {61259, 50829}
X(62089) = complement of X(62015)
X(62089) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(11812)}}, {{A, B, C, X(1494), X(3861)}}, {{A, B, C, X(11737), X(18317)}}, {{A, B, C, X(17538), X(43970)}}
X(62089) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 30, 3861}, {3, 11539, 12100}, {3, 15681, 15723}, {3, 15686, 547}, {3, 15696, 5059}, {3, 15719, 17504}, {3, 30, 11812}, {3, 3534, 3545}, {3, 376, 15686}, {3, 5067, 15712}, {20, 17504, 5066}, {30, 10109, 12102}, {30, 11540, 546}, {30, 12100, 3628}, {30, 12811, 3830}, {30, 140, 3860}, {30, 14891, 10124}, {30, 16239, 3845}, {30, 549, 11737}, {140, 12100, 15707}, {140, 546, 7486}, {376, 10304, 381}, {376, 15683, 15689}, {376, 15686, 15690}, {376, 15692, 3534}, {376, 3528, 15692}, {376, 549, 15691}, {381, 10304, 15714}, {381, 15695, 376}, {382, 15713, 14892}, {546, 3524, 11540}, {547, 15702, 16239}, {549, 15681, 14893}, {549, 15687, 15703}, {549, 15714, 15715}, {549, 8703, 14093}, {550, 17800, 12103}, {550, 8703, 10304}, {631, 11114, 15701}, {1657, 15698, 15699}, {3090, 3525, 16863}, {3091, 10303, 474}, {3091, 6909, 3146}, {3522, 15688, 8703}, {3530, 10109, 14890}, {3534, 15692, 15687}, {3545, 6850, 15713}, {3628, 10304, 15759}, {3839, 15716, 14869}, {3845, 11539, 5056}, {5054, 15697, 15704}, {5054, 15704, 12101}, {5059, 7380, 5076}, {5066, 17504, 12108}, {5079, 7486, 6929}, {8703, 15688, 548}, {10124, 14891, 3530}, {10124, 15759, 14891}, {10304, 11001, 3}, {10304, 15695, 550}, {11001, 11539, 3853}, {11737, 14891, 549}, {12100, 15690, 11001}, {12101, 15704, 30}, {12102, 14890, 10109}, {14891, 15686, 3850}, {14893, 15691, 15681}, {15681, 15723, 3543}, {15682, 15706, 632}, {15683, 15700, 5}, {15686, 15714, 11539}, {15687, 15692, 140}, {15689, 15700, 15683}

X(62090) = X(2)X(3)∩X(40)X(51096)

X(62090) lies on these lines: {2, 3}, {40, 51096}, {69, 55634}, {165, 50819}, {542, 55635}, {1992, 55585}, {3098, 50992}, {3576, 41150}, {4745, 35242}, {5085, 41153}, {5365, 42587}, {5366, 42586}, {5657, 50815}, {5731, 50809}, {6361, 51103}, {6470, 41946}, {6471, 41945}, {6776, 51188}, {7967, 50808}, {9741, 47101}, {9779, 51084}, {9862, 36521}, {10164, 51081}, {10302, 54612}, {10385, 37602}, {10519, 41152}, {10595, 51106}, {10645, 43493}, {10646, 43494}, {10653, 42795}, {10654, 42796}, {11179, 55590}, {11180, 51142}, {11224, 50813}, {11480, 49826}, {11481, 49827}, {11485, 42420}, {11486, 42419}, {11488, 33604}, {11489, 33605}, {12512, 51107}, {12702, 51092}, {13607, 34631}, {13886, 43342}, {13939, 43343}, {14226, 43210}, {14241, 43209}, {14651, 41147}, {14912, 41149}, {16192, 38074}, {16644, 33602}, {16645, 33603}, {18481, 51072}, {19053, 42524}, {19054, 42525}, {19924, 55689}, {21356, 48892}, {22165, 39874}, {22615, 34091}, {22644, 34089}, {23253, 42576}, {23263, 42577}, {25406, 50966}, {31730, 51105}, {31884, 50975}, {33751, 55608}, {34473, 41151}, {34627, 51067}, {36967, 43301}, {36968, 43300}, {38737, 41148}, {41121, 43554}, {41122, 43555}, {41943, 43769}, {41944, 43770}, {42085, 43032}, {42086, 43033}, {42087, 49824}, {42088, 49825}, {42115, 43108}, {42116, 43109}, {42140, 49908}, {42141, 49907}, {42150, 42533}, {42151, 42532}, {42154, 42686}, {42155, 42687}, {42157, 49810}, {42158, 49811}, {42263, 43375}, {42264, 43374}, {42274, 42537}, {42277, 42538}, {42433, 42976}, {42434, 42977}, {42510, 42529}, {42511, 42528}, {42543, 43369}, {42544, 43368}, {42588, 43000}, {42589, 43001}, {42625, 42791}, {42626, 42792}, {42629, 42952}, {42630, 42953}, {42684, 43228}, {42685, 43229}, {42815, 42932}, {42816, 42933}, {42918, 54479}, {42919, 54480}, {42942, 52080}, {42943, 52079}, {42968, 42982}, {42969, 42983}, {43150, 50994}, {43199, 43771}, {43200, 43772}, {43256, 43386}, {43257, 43387}, {43336, 43536}, {43337, 54597}, {43401, 43501}, {43402, 43502}, {43430, 51910}, {43431, 51911}, {43481, 49947}, {43482, 49948}, {43517, 52667}, {43518, 52666}, {43568, 60301}, {43569, 60302}, {44541, 46453}, {46264, 50990}, {47353, 51134}, {48881, 51185}, {48905, 51143}, {50812, 51085}, {50825, 54448}, {50830, 59417}, {50867, 61263}, {50961, 55627}, {50967, 51187}, {50968, 51138}, {50969, 51737}, {50974, 55615}, {50985, 51176}, {50991, 55646}, {51023, 55649}, {51136, 55618}, {51177, 54173}, {51179, 55610}, {51189, 54169}, {51212, 55690}, {54170, 55720}, {54523, 60282}, {54608, 60143}, {54616, 54643}, {54637, 60175}, {54707, 60239}, {54866, 60627}, {55696, 59373}, {60150, 60637}, {60185, 60228}, {60192, 60284}

X(62090) = reflection of X(i) in X(j) for these {i,j}: {15721, 3}, {2, 15716}, {3525, 15715}, {3855, 15721}, {5056, 15718}, {5072, 549}
X(62090) = anticomplement of X(61950)
X(62090) = pole of line {69, 62040} with respect to the Wallace hyperbola
X(62090) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(35401)}}, {{A, B, C, X(1294), X(15721)}}, {{A, B, C, X(1597), X(57714)}}, {{A, B, C, X(5072), X(18317)}}, {{A, B, C, X(10301), X(54612)}}, {{A, B, C, X(13623), X(19709)}}, {{A, B, C, X(20421), X(44878)}}, {{A, B, C, X(34483), X(49134)}}, {{A, B, C, X(38335), X(43699)}}, {{A, B, C, X(49135), X(54667)}}, {{A, B, C, X(52301), X(54608)}}
X(62090) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15759}, {2, 15692, 15722}, {2, 15695, 376}, {2, 15716, 15719}, {2, 15759, 15698}, {3, 15691, 3839}, {3, 15697, 15682}, {3, 30, 15721}, {3, 3861, 3523}, {3, 5071, 3524}, {3, 550, 17578}, {4, 15702, 5055}, {4, 3534, 11001}, {20, 14093, 15710}, {20, 15710, 15702}, {20, 17697, 5073}, {30, 15715, 3525}, {30, 15718, 5056}, {30, 15721, 3855}, {30, 549, 5072}, {376, 15682, 15697}, {376, 15710, 20}, {376, 3524, 17538}, {376, 3529, 15689}, {376, 3545, 550}, {549, 3534, 15640}, {1657, 15714, 15708}, {3534, 15693, 15684}, {3534, 3830, 15704}, {3534, 5066, 15683}, {3534, 8703, 10304}, {3830, 15706, 11540}, {3845, 15690, 6958}, {5066, 11540, 15699}, {6891, 15695, 15716}, {7486, 17578, 3856}, {8703, 12100, 14093}, {10124, 10303, 15709}, {10124, 17578, 3545}, {10304, 15683, 3}, {11001, 12100, 3544}, {11540, 15704, 3830}, {12101, 15693, 2}, {14226, 43788, 43210}, {14241, 43787, 43209}, {15681, 15705, 3090}, {15682, 15709, 5066}, {15683, 15697, 3534}, {15683, 15709, 4}, {15687, 15699, 3850}, {15687, 15702, 5071}, {15687, 15707, 17580}, {15689, 15692, 3529}, {15690, 15711, 15685}, {15698, 15719, 15717}, {15710, 15720, 15715}, {42586, 43107, 5366}, {42587, 43100, 5365}, {42625, 42791, 49875}, {43256, 43509, 43386}, {43257, 43510, 43387}

X(62091) = X(2)X(3)∩X(40)X(61292)

X(62091) lies on these lines: {2, 3}, {40, 61292}, {52, 55286}, {141, 55650}, {165, 61244}, {395, 41977}, {396, 41978}, {397, 43646}, {398, 43645}, {524, 55611}, {575, 48874}, {1353, 52987}, {1503, 55644}, {3564, 55626}, {3630, 55625}, {3631, 55640}, {3951, 9945}, {5305, 44541}, {5351, 42117}, {5352, 42118}, {5480, 55677}, {5563, 10386}, {5609, 37853}, {5894, 50414}, {6427, 42638}, {6428, 42637}, {6453, 19117}, {6454, 19116}, {6459, 6522}, {6460, 6519}, {6496, 13925}, {6497, 13993}, {6560, 42568}, {6561, 42569}, {6776, 55620}, {7782, 14929}, {7982, 61281}, {7991, 61287}, {8550, 55597}, {8981, 51910}, {9588, 50820}, {9624, 58225}, {9681, 52048}, {10222, 12512}, {10283, 31730}, {10575, 54044}, {10645, 42916}, {10646, 42917}, {11381, 11592}, {11480, 42922}, {11481, 42923}, {13464, 50816}, {13966, 51911}, {14449, 20791}, {14641, 40247}, {15021, 38723}, {15026, 40284}, {15034, 38788}, {15052, 52099}, {15068, 46945}, {15644, 45956}, {15801, 20585}, {16192, 28186}, {18358, 55654}, {18481, 59400}, {18907, 31652}, {19106, 42592}, {19107, 42593}, {20127, 22251}, {20190, 48881}, {21850, 55687}, {22791, 31666}, {23328, 32903}, {25406, 55595}, {28174, 30389}, {28182, 61271}, {28202, 51083}, {29181, 55681}, {31663, 37705}, {31834, 54041}, {33751, 48906}, {34380, 55602}, {34507, 50971}, {34573, 55662}, {35240, 44755}, {35242, 38112}, {35812, 42572}, {35813, 42573}, {36836, 42123}, {36843, 42122}, {36969, 51915}, {36970, 51916}, {37640, 43635}, {37641, 43634}, {37712, 61524}, {38110, 48885}, {38136, 55672}, {38726, 51522}, {38736, 51523}, {38747, 51524}, {38759, 51525}, {38771, 51526}, {38783, 51527}, {38803, 51535}, {39884, 55653}, {40273, 58221}, {41947, 41949}, {41948, 41950}, {41961, 42216}, {41962, 42215}, {42093, 42591}, {42094, 42590}, {42099, 42692}, {42100, 42693}, {42101, 42493}, {42102, 42492}, {42133, 43647}, {42134, 43648}, {42144, 42599}, {42145, 42598}, {42150, 42634}, {42151, 42633}, {42159, 42585}, {42162, 42584}, {42225, 43880}, {42226, 43879}, {42260, 43319}, {42261, 43318}, {42271, 42567}, {42272, 42566}, {42791, 42990}, {42792, 42991}, {42904, 43874}, {42905, 43873}, {44882, 55631}, {45957, 54042}, {46264, 55641}, {48661, 61273}, {48873, 55684}, {48876, 55637}, {48880, 55675}, {48892, 55647}, {48898, 55652}, {50814, 50831}, {50815, 50822}, {50823, 51080}, {50825, 51081}, {50965, 51180}, {50970, 50986}, {50972, 50987}, {50978, 51135}, {50979, 55721}, {51082, 61297}, {51118, 58219}, {51126, 55664}, {51136, 51183}, {51163, 55668}, {51181, 55708}, {51705, 58240}, {51737, 55718}, {55643, 61545}

X(62091) = midpoint of X(i) and X(j) for these {i,j}: {20, 3851}, {3534, 15702}
X(62091) = reflection of X(i) in X(j) for these {i,j}: {14869, 3}, {15703, 12100}, {3627, 3857}, {3832, 140}, {3857, 14869}, {5, 3523}
X(62091) = complement of X(62016)
X(62091) = pole of line {185, 61810} with respect to the Jerabek hyperbola
X(62091) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(14869)}}, {{A, B, C, X(3843), X(52441)}}, {{A, B, C, X(3858), X(14863)}}, {{A, B, C, X(15691), X(43970)}}, {{A, B, C, X(22268), X(41984)}}
X(62091) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15696, 3529}, {3, 15704, 632}, {3, 16661, 12107}, {3, 17538, 546}, {3, 20, 3628}, {3, 30, 14869}, {3, 3091, 3530}, {3, 3146, 12108}, {3, 3525, 12100}, {3, 3534, 3091}, {3, 3627, 549}, {3, 3628, 15712}, {3, 5079, 3524}, {3, 550, 3627}, {5, 15712, 5054}, {20, 15698, 3851}, {20, 15712, 3845}, {20, 3533, 15684}, {20, 3851, 30}, {30, 12100, 15703}, {30, 140, 3832}, {30, 14869, 3857}, {140, 15696, 15686}, {140, 3830, 5}, {376, 10304, 3830}, {376, 14093, 10124}, {376, 15705, 3534}, {376, 15718, 15691}, {376, 3528, 3523}, {548, 3522, 8703}, {550, 3845, 20}, {3090, 3832, 5072}, {3091, 10303, 17697}, {3146, 12103, 15704}, {3146, 3523, 3090}, {3522, 15688, 548}, {3529, 10304, 3}, {3533, 15684, 3859}, {3534, 15705, 14893}, {3534, 15714, 15699}, {3830, 5054, 5071}, {3850, 15717, 15713}, {3860, 15718, 11539}, {5054, 15695, 376}, {5073, 15692, 16239}, {8703, 15686, 10304}, {8703, 17504, 14093}, {10299, 15697, 17800}, {10299, 17800, 547}, {10304, 15686, 15711}, {10304, 15696, 140}, {10645, 43631, 42916}, {10646, 43630, 42917}, {11001, 12100, 6944}, {11001, 15720, 3861}, {12100, 12102, 3525}, {12100, 12103, 12102}, {12102, 12103, 1657}, {12103, 12108, 3146}, {14093, 15690, 17504}, {15681, 15717, 3850}, {15686, 15696, 550}, {15689, 15759, 15687}, {15722, 16434, 12103}

X(62092) = X(2)X(3)∩X(113)X(15023)

X(62092) lies on these lines: {2, 3}, {69, 55631}, {113, 15023}, {165, 47745}, {193, 55595}, {568, 55286}, {1285, 7772}, {1352, 55647}, {1992, 55583}, {3068, 51910}, {3069, 51911}, {3316, 42264}, {3317, 42263}, {3594, 9541}, {3618, 48885}, {3619, 55655}, {3620, 55643}, {3785, 32890}, {4297, 4701}, {4301, 50816}, {5237, 42119}, {5238, 42120}, {5286, 44541}, {5351, 42090}, {5352, 42091}, {5365, 42491}, {5366, 42490}, {5447, 52093}, {5493, 50812}, {5731, 32900}, {5881, 50815}, {5921, 55639}, {6053, 12244}, {6225, 50414}, {6337, 7917}, {6409, 23267}, {6410, 23273}, {6411, 43407}, {6412, 43408}, {6419, 42638}, {6420, 42637}, {6425, 7581}, {6426, 7582}, {6427, 43512}, {6428, 43511}, {6449, 43883}, {6450, 43884}, {6453, 6460}, {6454, 6459}, {6488, 32787}, {6489, 32788}, {6496, 8972}, {6497, 13941}, {6519, 7585}, {6522, 7586}, {6776, 55614}, {7738, 35007}, {7816, 55732}, {7967, 7991}, {7982, 12512}, {7998, 14641}, {9624, 34638}, {9693, 19054}, {9707, 32601}, {9741, 14023}, {9778, 10222}, {10137, 42643}, {10138, 42644}, {10519, 55641}, {10541, 33750}, {10595, 30389}, {10625, 61136}, {11008, 55603}, {11179, 55588}, {11456, 46945}, {11480, 43777}, {11481, 43778}, {11482, 61044}, {11491, 44846}, {12290, 40247}, {12317, 38723}, {12383, 15021}, {13464, 58229}, {13491, 33884}, {14094, 37853}, {14561, 55675}, {14677, 15039}, {14830, 38628}, {14853, 55684}, {14912, 53097}, {14927, 55649}, {15020, 16111}, {15054, 38726}, {15069, 50971}, {15077, 20421}, {16189, 51705}, {16625, 36987}, {19877, 28168}, {20080, 55616}, {20190, 51212}, {20423, 55694}, {22236, 52079}, {22238, 52080}, {23235, 38747}, {23269, 43879}, {23275, 43880}, {25406, 33751}, {28178, 46934}, {31412, 43374}, {31454, 43256}, {31663, 59388}, {31670, 55679}, {31884, 39874}, {33630, 36748}, {37515, 43576}, {37640, 42433}, {37641, 42434}, {38664, 38736}, {38665, 38759}, {38666, 38771}, {38667, 38783}, {38675, 38803}, {40330, 55654}, {41943, 43002}, {41944, 43003}, {41951, 60302}, {41952, 60301}, {41957, 43319}, {41958, 43318}, {41973, 49812}, {41974, 49813}, {42112, 42580}, {42113, 42581}, {42130, 43870}, {42131, 43869}, {42154, 43494}, {42155, 43493}, {42160, 43772}, {42161, 43771}, {42163, 43464}, {42166, 43463}, {42258, 43510}, {42259, 43509}, {42262, 43518}, {42265, 43517}, {42431, 43203}, {42432, 43204}, {42512, 43546}, {42513, 43547}, {42557, 43516}, {42558, 43515}, {42561, 43375}, {42566, 43885}, {42567, 43886}, {42592, 42921}, {42593, 42920}, {42612, 43205}, {42613, 43206}, {42625, 42998}, {42626, 42999}, {42779, 42795}, {42780, 42796}, {42785, 51538}, {42924, 42927}, {42925, 42926}, {42944, 43543}, {42945, 43542}, {43238, 43554}, {43239, 43555}, {43446, 51916}, {43447, 51915}, {43621, 55669}, {44299, 46849}, {44882, 55626}, {46264, 55637}, {46850, 54041}, {48873, 55687}, {48874, 53092}, {48880, 55677}, {48891, 51537}, {48892, 55644}, {48898, 55650}, {48906, 55602}, {50801, 50820}, {50813, 51077}, {50828, 58225}, {50958, 50976}, {50961, 51177}, {50966, 55597}, {50968, 53858}, {50969, 51132}, {50974, 55611}, {51075, 51083}, {54170, 55721}, {54173, 55628}, {55698, 59373}

X(62092) = midpoint of X(i) and X(j) for these {i,j}: {20, 5068}
X(62092) = reflection of X(i) in X(j) for these {i,j}: {10303, 3}, {4, 5067}, {5067, 10299}
X(62092) = anticomplement of X(61953)
X(62092) = pole of line {185, 61814} with respect to the Jerabek hyperbola
X(62092) = pole of line {69, 5073} with respect to the Wallace hyperbola
X(62092) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(5073)}}, {{A, B, C, X(1294), X(10303)}}, {{A, B, C, X(1597), X(13472)}}, {{A, B, C, X(3431), X(55571)}}, {{A, B, C, X(3515), X(20421)}}, {{A, B, C, X(3517), X(11270)}}, {{A, B, C, X(3627), X(14843)}}, {{A, B, C, X(3830), X(15077)}}, {{A, B, C, X(3839), X(15319)}}, {{A, B, C, X(3843), X(31371)}}, {{A, B, C, X(3851), X(15740)}}, {{A, B, C, X(16835), X(18535)}}, {{A, B, C, X(17505), X(35403)}}, {{A, B, C, X(18851), X(19708)}}, {{A, B, C, X(22270), X(47598)}}, {{A, B, C, X(42021), X(49139)}}, {{A, B, C, X(47527), X(55976)}}
X(62092) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15714}, {2, 16434, 17538}, {3, 10303, 10299}, {3, 12103, 3091}, {3, 12108, 15692}, {3, 15704, 2}, {3, 1657, 632}, {3, 16661, 7556}, {3, 30, 10303}, {3, 3146, 631}, {3, 3529, 3525}, {3, 3534, 546}, {3, 5072, 3530}, {3, 5076, 549}, {3, 546, 3523}, {3, 550, 3146}, {3, 632, 15717}, {20, 140, 15682}, {20, 3090, 11541}, {20, 3522, 8703}, {20, 3524, 4}, {20, 3627, 3529}, {20, 5068, 30}, {30, 10299, 5067}, {376, 15682, 15689}, {376, 15710, 3534}, {376, 3522, 3528}, {376, 3545, 15697}, {376, 631, 550}, {381, 3090, 3544}, {381, 5073, 3853}, {381, 8703, 10304}, {382, 12108, 15022}, {546, 3528, 4221}, {548, 15688, 3522}, {548, 550, 15695}, {549, 5059, 3855}, {550, 12100, 17800}, {1657, 15701, 3861}, {1657, 15717, 3545}, {3090, 16434, 15691}, {3090, 3529, 3627}, {3146, 10304, 3}, {3146, 16866, 3856}, {3525, 3544, 3628}, {3529, 10299, 5079}, {3534, 15710, 5071}, {3544, 17538, 11001}, {3832, 15712, 15709}, {10304, 11001, 15715}, {10304, 11539, 15710}, {10304, 15695, 376}, {11001, 15712, 6938}, {11541, 17538, 20}, {12100, 17800, 5056}, {12108, 15022, 3533}, {12811, 15691, 15704}, {12811, 15704, 5073}, {14890, 15701, 15721}, {15022, 15692, 12108}, {15022, 15699, 3090}, {15681, 15712, 3832}, {15685, 15707, 381}, {15697, 15717, 1657}, {15698, 15721, 3524}

X(62093) = X(2)X(3)∩X(17)X(42930)

X(62093) lies on these lines: {2, 3}, {17, 42930}, {18, 42931}, {61, 43421}, {62, 43420}, {576, 50968}, {946, 58224}, {3070, 43314}, {3071, 43315}, {3653, 51083}, {5237, 43645}, {5238, 43646}, {5254, 15603}, {5339, 43005}, {5340, 43004}, {5493, 10247}, {6361, 61280}, {6445, 42261}, {6446, 42260}, {6451, 8960}, {6452, 42569}, {6455, 51910}, {6456, 51911}, {6460, 9691}, {6472, 19117}, {6473, 19116}, {7583, 43413}, {7584, 43414}, {7585, 10145}, {7586, 10146}, {7755, 15655}, {8148, 12512}, {8550, 55593}, {8981, 43411}, {9540, 43316}, {10222, 50812}, {11362, 51080}, {11480, 41974}, {11481, 41973}, {12308, 37853}, {13340, 13382}, {13431, 54202}, {13935, 43317}, {13966, 43412}, {15533, 55623}, {16111, 38638}, {16163, 38633}, {16964, 43333}, {16965, 43332}, {18493, 59420}, {18553, 55651}, {22236, 42800}, {22238, 42799}, {23251, 43881}, {23261, 43882}, {24466, 38637}, {25555, 55678}, {28168, 30315}, {31663, 37712}, {31730, 58230}, {33751, 33878}, {34507, 55639}, {35450, 45185}, {37727, 50814}, {38066, 50820}, {38634, 38738}, {38635, 38749}, {38636, 38761}, {42090, 42989}, {42091, 42988}, {42093, 43325}, {42094, 43324}, {42099, 42774}, {42100, 42773}, {42112, 42948}, {42113, 42949}, {42130, 42944}, {42131, 42945}, {42157, 43427}, {42158, 43426}, {42225, 42571}, {42226, 42570}, {42528, 43009}, {42529, 43008}, {42813, 43489}, {42814, 43490}, {42817, 43769}, {42818, 43770}, {42936, 43637}, {42937, 43636}, {42958, 43632}, {42959, 43633}, {42980, 43014}, {42981, 43015}, {43026, 43239}, {43027, 43238}, {43174, 61244}, {43273, 55620}, {43409, 53517}, {43410, 53520}, {44882, 55624}, {47353, 55650}, {48662, 48892}, {48881, 55697}, {48885, 55682}, {50955, 55637}, {50973, 55606}, {51024, 55677}, {51700, 58228}, {52093, 54044}, {55648, 59411}

X(62093) = midpoint of X(i) and X(j) for these {i,j}: {20, 3544}
X(62093) = pole of line {185, 61815} with respect to the Jerabek hyperbola
X(62093) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(55863)}}, {{A, B, C, X(3519), X(15682)}}, {{A, B, C, X(3845), X(52441)}}, {{A, B, C, X(3855), X(14861)}}, {{A, B, C, X(15718), X(40448)}}, {{A, B, C, X(35502), X(44731)}}, {{A, B, C, X(42021), X(49138)}}, {{A, B, C, X(43719), X(52294)}}
X(62093) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15681, 5070}, {3, 15684, 631}, {3, 15689, 17800}, {3, 15696, 15681}, {3, 17800, 15694}, {3, 20, 5055}, {3, 3534, 3843}, {3, 382, 15701}, {3, 3843, 15707}, {3, 5, 15718}, {3, 548, 15695}, {3, 550, 5073}, {4, 12103, 1657}, {4, 140, 5079}, {4, 3522, 8703}, {4, 5056, 3859}, {4, 5070, 3851}, {20, 14093, 3}, {20, 3544, 30}, {20, 4220, 3839}, {376, 12103, 15696}, {376, 3523, 550}, {376, 3528, 3146}, {376, 3830, 15689}, {376, 8703, 5054}, {382, 548, 6961}, {547, 8703, 10304}, {550, 3850, 20}, {1657, 5054, 4}, {3146, 15702, 6885}, {3146, 3525, 3857}, {3146, 3843, 3830}, {3523, 3854, 3533}, {3523, 5068, 3525}, {3526, 17538, 15685}, {3830, 15707, 15703}, {3857, 15712, 140}, {5054, 15696, 12103}, {5073, 15701, 5068}, {5079, 15696, 3534}, {8703, 15710, 14093}, {12811, 15719, 3526}, {14093, 15696, 632}, {14813, 14814, 15682}, {15686, 15717, 5076}, {48892, 55643, 48662}

X(62094) = X(2)X(3)∩X(13)X(43869)

X(62094) lies on these lines: {2, 3}, {13, 43869}, {14, 43870}, {15, 49875}, {16, 49876}, {165, 4669}, {193, 55594}, {390, 37587}, {394, 46945}, {511, 50969}, {515, 50820}, {516, 51083}, {517, 50813}, {524, 55607}, {542, 55633}, {962, 51105}, {1151, 42418}, {1152, 42417}, {1270, 13798}, {1271, 13678}, {1503, 50976}, {1587, 6486}, {1588, 6487}, {1699, 51119}, {1992, 55582}, {3068, 43887}, {3069, 43888}, {3098, 11160}, {3424, 60286}, {3564, 51177}, {3579, 31145}, {3620, 48892}, {3622, 28198}, {3654, 50819}, {3655, 51092}, {3656, 31662}, {3817, 50873}, {4293, 51817}, {4297, 4677}, {4745, 34628}, {5032, 37517}, {5097, 61044}, {5102, 33748}, {5188, 11055}, {5306, 44541}, {5318, 43326}, {5321, 43327}, {5334, 43245}, {5335, 43244}, {5343, 42505}, {5344, 42504}, {5351, 42507}, {5352, 42506}, {5473, 35749}, {5474, 36327}, {5476, 55680}, {5493, 51107}, {5587, 50863}, {5731, 50808}, {5921, 50990}, {6200, 42542}, {6396, 42541}, {6411, 43209}, {6412, 43210}, {6429, 6460}, {6430, 6459}, {6431, 41946}, {6432, 41945}, {6433, 9542}, {6434, 32788}, {6437, 19054}, {6438, 19053}, {6480, 7585}, {6481, 7586}, {6484, 42261}, {6485, 42260}, {6560, 43889}, {6561, 43890}, {6776, 55612}, {7737, 15602}, {7811, 32896}, {7987, 34638}, {7988, 51086}, {7991, 51091}, {8584, 54170}, {8591, 38736}, {8596, 12042}, {8667, 53141}, {9143, 38726}, {9541, 53131}, {9774, 14976}, {9778, 16200}, {10516, 51216}, {10519, 55640}, {10645, 41112}, {10646, 41113}, {10653, 42976}, {10654, 42977}, {11177, 15300}, {11179, 33751}, {11180, 14810}, {11451, 55166}, {11480, 43428}, {11481, 43429}, {11488, 43002}, {11489, 43003}, {11531, 12512}, {12243, 38731}, {12816, 42092}, {12817, 42089}, {13665, 43787}, {13785, 43788}, {14226, 42225}, {14241, 42226}, {14853, 51211}, {14855, 33884}, {15533, 44882}, {15534, 25406}, {16241, 42952}, {16242, 42953}, {16964, 49859}, {16965, 49860}, {18538, 43521}, {18762, 43522}, {19924, 51171}, {20049, 34773}, {20070, 33179}, {20423, 33750}, {20582, 55656}, {20791, 21969}, {21356, 55646}, {22165, 31884}, {22235, 41943}, {22237, 41944}, {22531, 36346}, {22532, 36352}, {22843, 33627}, {22890, 33626}, {23253, 43254}, {23263, 43255}, {23269, 43211}, {23275, 43212}, {25565, 55665}, {28182, 50833}, {30392, 50816}, {31663, 34627}, {31730, 38314}, {32885, 43459}, {33595, 60984}, {33602, 42127}, {33603, 42126}, {33697, 46930}, {34754, 41100}, {34755, 41101}, {35242, 53620}, {35248, 45017}, {35770, 43511}, {35771, 43512}, {36319, 49856}, {36344, 49857}, {36836, 42508}, {36843, 42509}, {36967, 49827}, {36968, 49826}, {37640, 42791}, {37641, 42792}, {37749, 38803}, {38064, 48885}, {38155, 50864}, {38749, 52695}, {39561, 54132}, {41107, 42091}, {41108, 42090}, {41121, 42900}, {41122, 42901}, {41149, 53097}, {42085, 49873}, {42086, 49874}, {42087, 42589}, {42088, 42588}, {42115, 43482}, {42116, 43481}, {42119, 49948}, {42120, 49947}, {42130, 43543}, {42131, 43542}, {42154, 49861}, {42155, 49862}, {42163, 42587}, {42166, 42586}, {42510, 42528}, {42511, 42529}, {42522, 42525}, {42523, 42524}, {42532, 42998}, {42533, 42999}, {42625, 43228}, {42626, 43229}, {42795, 43646}, {42796, 43645}, {42815, 43493}, {42816, 43494}, {42940, 51916}, {42941, 51915}, {42942, 51944}, {42943, 51945}, {42966, 61719}, {43024, 43294}, {43025, 43295}, {43199, 43403}, {43200, 43404}, {43273, 50992}, {43465, 46334}, {43466, 46335}, {46264, 55636}, {47101, 53142}, {47354, 55654}, {48873, 55688}, {48881, 55699}, {50811, 59417}, {50865, 51109}, {50868, 51069}, {50967, 55603}, {50972, 51166}, {50974, 55610}, {50975, 51215}, {50977, 55645}, {50978, 55624}, {50993, 51023}, {51025, 51143}, {51165, 53023}, {51185, 51212}, {51186, 55651}, {51188, 55614}, {54519, 60279}

X(62094) = midpoint of X(i) and X(j) for these {i,j}: {376, 3528}, {3534, 15701}
X(62094) = reflection of X(i) in X(j) for these {i,j}: {15702, 3}, {2, 15698}, {381, 14869}, {3090, 15700}, {3543, 3832}, {3832, 15702}, {3851, 549}, {4, 15703}
X(62094) = inverse of X(61938) in orthocentroidal circle
X(62094) = inverse of X(61938) in Yff hyperbola
X(62094) = complement of X(62018)
X(62094) = anticomplement of X(41106)
X(62094) = pole of line {523, 61938} with respect to the orthocentroidal circle
X(62094) = pole of line {185, 61816} with respect to the Jerabek hyperbola
X(62094) = pole of line {6, 61938} with respect to the Kiepert hyperbola
X(62094) = pole of line {523, 61938} with respect to the Yff hyperbola
X(62094) = pole of line {69, 15640} with respect to the Wallace hyperbola
X(62094) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15640)}}, {{A, B, C, X(253), X(41099)}}, {{A, B, C, X(1294), X(15702)}}, {{A, B, C, X(1297), X(30734)}}, {{A, B, C, X(3346), X(3544)}}, {{A, B, C, X(3851), X(18317)}}, {{A, B, C, X(4846), X(23046)}}, {{A, B, C, X(11541), X(54667)}}, {{A, B, C, X(15689), X(18850)}}, {{A, B, C, X(15697), X(57822)}}, {{A, B, C, X(34200), X(46168)}}, {{A, B, C, X(52283), X(60286)}}
X(62094) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 3543}, {2, 15640, 3839}, {2, 15683, 3830}, {2, 15693, 15721}, {2, 15705, 15693}, {2, 20, 15640}, {2, 376, 15697}, {2, 3830, 3091}, {2, 8703, 10304}, {3, 15686, 3545}, {3, 15690, 11001}, {3, 1657, 16239}, {3, 20, 5056}, {3, 30, 15702}, {3, 3533, 15717}, {3, 3543, 15708}, {3, 3845, 15719}, {3, 547, 3524}, {4, 376, 15689}, {5, 3090, 17566}, {20, 10304, 15692}, {30, 15700, 3090}, {30, 15702, 3832}, {30, 15703, 4}, {30, 549, 3851}, {376, 11001, 15690}, {376, 14093, 15683}, {376, 15688, 3522}, {376, 15710, 17538}, {376, 3524, 550}, {382, 14891, 15709}, {547, 12108, 11539}, {548, 15688, 376}, {548, 8703, 15695}, {1657, 17504, 5071}, {3091, 3523, 3526}, {3526, 15701, 15713}, {3526, 15759, 15698}, {3534, 12100, 15682}, {3534, 15701, 30}, {3543, 10304, 3}, {3545, 15686, 5059}, {3830, 14093, 15759}, {3839, 15692, 10303}, {3845, 11539, 10109}, {3845, 15690, 3534}, {3845, 15713, 547}, {5054, 15691, 3529}, {5054, 5071, 17542}, {5055, 15714, 10299}, {5056, 5079, 6991}, {5066, 15716, 631}, {6859, 6975, 468}, {6919, 17578, 5068}, {8703, 15759, 14093}, {9778, 51705, 50872}, {10299, 12103, 17578}, {10304, 15697, 2}, {11001, 15719, 3845}, {11812, 15690, 15686}, {12103, 15714, 5055}, {14093, 15689, 12108}, {14869, 15717, 3523}, {15681, 15716, 5066}, {15687, 15706, 3525}, {15688, 15695, 8703}, {15689, 15721, 20}, {15702, 15719, 15701}, {15710, 17538, 381}, {25406, 50965, 54174}, {42087, 49906, 42589}, {42088, 49905, 42588}, {42528, 42632, 42510}, {46334, 49825, 43465}, {46335, 49824, 43466}, {50812, 51705, 9778}, {51028, 51737, 33748}

X(62095) = X(1)X(50816)∩X(2)X(3)

X(62095) lies on these lines: {1, 50816}, {2, 3}, {6, 50972}, {8, 50815}, {10, 51081}, {40, 20049}, {69, 50971}, {145, 50808}, {146, 11693}, {193, 50965}, {323, 46945}, {542, 55630}, {1278, 51042}, {3098, 50961}, {3241, 12512}, {3579, 20052}, {3616, 34638}, {3617, 34628}, {3618, 51130}, {3620, 50958}, {3621, 50811}, {3622, 51083}, {3623, 34632}, {3632, 51080}, {3655, 50813}, {4297, 31145}, {4678, 50820}, {4788, 51044}, {5237, 49827}, {5238, 49826}, {5304, 44541}, {5921, 55635}, {6468, 7585}, {6469, 7586}, {6470, 42638}, {6471, 42637}, {6527, 57822}, {6776, 55608}, {7712, 41467}, {7811, 32840}, {7917, 32841}, {7991, 51092}, {8142, 47869}, {8591, 38747}, {8596, 38738}, {9143, 37853}, {9543, 19054}, {9778, 11224}, {10513, 59634}, {10519, 55638}, {11008, 50970}, {11057, 32831}, {11160, 44882}, {11177, 38736}, {11179, 50969}, {11180, 48892}, {11542, 42932}, {11543, 42933}, {12117, 35369}, {14853, 55686}, {15516, 54132}, {16644, 43771}, {16645, 43772}, {16772, 42588}, {16773, 42589}, {16962, 42091}, {16963, 42090}, {16981, 20791}, {19130, 51213}, {19877, 50862}, {19924, 33750}, {20014, 50810}, {20050, 50814}, {20054, 51082}, {20070, 51705}, {20080, 43273}, {20105, 33706}, {20423, 55696}, {21356, 59411}, {22236, 43495}, {22238, 43496}, {23302, 43201}, {23303, 43202}, {32006, 32895}, {32880, 37671}, {33751, 55720}, {34595, 50869}, {34648, 46932}, {34773, 50809}, {35242, 50864}, {35255, 43787}, {35256, 43788}, {40341, 51135}, {41150, 58229}, {41945, 43511}, {41946, 43512}, {41967, 42578}, {41968, 42579}, {42159, 43026}, {42162, 43027}, {42263, 42539}, {42264, 42540}, {42270, 42537}, {42273, 42538}, {42433, 49875}, {42434, 49876}, {42514, 54581}, {42515, 54580}, {42576, 43785}, {42577, 43786}, {42944, 43003}, {42945, 43002}, {42974, 43777}, {42975, 43778}, {43101, 43478}, {43104, 43477}, {43193, 49813}, {43194, 49812}, {43256, 51910}, {43257, 51911}, {43401, 43552}, {43402, 43553}, {43769, 49905}, {43770, 49906}, {43773, 49862}, {43774, 49861}, {44367, 46944}, {46264, 55634}, {46931, 50829}, {46934, 50865}, {48873, 55690}, {48906, 50966}, {50967, 55601}, {50968, 51132}, {50976, 54169}, {50992, 55614}, {51023, 55646}, {51028, 55716}, {51086, 58217}, {51136, 55607}, {51179, 55604}, {51737, 61044}, {54173, 55625}, {54174, 55590}

X(62095) = midpoint of X(i) and X(j) for these {i,j}: {3534, 15707}
X(62095) = reflection of X(i) in X(j) for these {i,j}: {15705, 10304}, {15708, 15710}, {15709, 3}, {2, 15705}, {3545, 15707}, {3839, 15709}
X(62095) = anticomplement of X(61954)
X(62095) = pole of line {69, 62048} with respect to the Wallace hyperbola
X(62095) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(15709)}}, {{A, B, C, X(3346), X(5072)}}, {{A, B, C, X(3854), X(36889)}}, {{A, B, C, X(3860), X(4846)}}, {{A, B, C, X(15690), X(18850)}}, {{A, B, C, X(16251), X(33699)}}, {{A, B, C, X(50693), X(57822)}}
X(62095) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15683, 17578}, {2, 3543, 3854}, {3, 15682, 15721}, {3, 30, 15709}, {3, 3534, 15687}, {3, 376, 15697}, {3, 3855, 3523}, {4, 376, 15690}, {20, 140, 3146}, {20, 15697, 15691}, {20, 15721, 15682}, {20, 3523, 3627}, {20, 3543, 15685}, {30, 15707, 3545}, {30, 15710, 15708}, {140, 3843, 3090}, {376, 11001, 15696}, {376, 3524, 15689}, {376, 3528, 3534}, {382, 15714, 15719}, {548, 15695, 376}, {548, 3533, 4229}, {550, 8703, 14891}, {631, 15686, 15640}, {1656, 13632, 15694}, {1657, 15759, 15702}, {3090, 3524, 5054}, {3091, 15705, 11114}, {3146, 3522, 3528}, {3524, 3545, 140}, {3524, 8703, 10304}, {3528, 3534, 15692}, {3534, 15707, 30}, {3534, 3860, 11001}, {3830, 15715, 10303}, {3839, 10304, 3}, {5054, 5055, 16239}, {5066, 15687, 3843}, {5071, 15682, 3861}, {6996, 17800, 5059}, {10124, 14892, 15699}, {10304, 15688, 3522}, {10304, 15697, 3839}, {10304, 15708, 15710}, {11001, 16239, 3543}, {14093, 15689, 14892}, {14093, 15690, 4}, {14892, 17504, 15701}, {15022, 15702, 2}, {15681, 15698, 3091}, {15682, 15691, 20}, {15682, 15721, 5068}, {15683, 15717, 5066}, {15684, 15711, 3525}, {15688, 15689, 8703}, {15691, 15721, 15683}, {15701, 17504, 3524}, {15707, 17579, 17525}, {15708, 15710, 15705}

X(62096) = X(2)X(3)∩X(69)X(55627)

X(62096) lies on these lines: {2, 3}, {69, 55627}, {371, 43794}, {372, 43793}, {962, 31662}, {1181, 46945}, {1285, 5041}, {1352, 55645}, {1587, 6433}, {1588, 6434}, {3070, 43787}, {3071, 43788}, {3618, 55683}, {5351, 43245}, {5352, 43244}, {5365, 43464}, {5366, 43463}, {5493, 16200}, {6200, 43413}, {6396, 43414}, {6411, 23269}, {6412, 23275}, {6429, 43797}, {6430, 43798}, {6432, 9541}, {6437, 7581}, {6438, 7582}, {6480, 42261}, {6481, 42260}, {6484, 56619}, {6485, 56618}, {6486, 51910}, {6487, 51911}, {6560, 43411}, {6561, 43412}, {6776, 55607}, {7967, 12512}, {7991, 50813}, {8550, 55591}, {8981, 43889}, {9778, 11278}, {10194, 52666}, {10195, 52667}, {10645, 43769}, {10646, 43770}, {11160, 55620}, {11180, 55641}, {11362, 50819}, {11465, 55166}, {11485, 42927}, {11486, 42926}, {13393, 38633}, {13607, 58248}, {13966, 43890}, {14912, 55582}, {17852, 42417}, {21356, 55644}, {22235, 42131}, {22237, 42130}, {23249, 43409}, {23259, 43410}, {23267, 41963}, {23273, 41964}, {25406, 55587}, {30392, 31730}, {31454, 43386}, {31670, 55680}, {32064, 32903}, {33751, 37517}, {34507, 55636}, {34754, 42151}, {34755, 42150}, {35242, 38155}, {35255, 43376}, {35256, 43377}, {36836, 43481}, {36843, 43482}, {37727, 50809}, {41967, 53513}, {41968, 53516}, {41971, 42528}, {41972, 42529}, {41973, 42090}, {41974, 42091}, {42099, 42495}, {42100, 42494}, {42133, 42774}, {42134, 42773}, {42139, 42908}, {42142, 42909}, {42147, 51944}, {42148, 51945}, {42154, 42793}, {42155, 42794}, {42159, 42958}, {42162, 42959}, {42164, 43423}, {42165, 43422}, {42262, 43786}, {42265, 43785}, {42266, 43792}, {42267, 43791}, {42998, 52079}, {42999, 52080}, {43199, 43633}, {43200, 43632}, {44882, 55618}, {46264, 55633}, {48873, 55691}, {48881, 55703}, {48885, 55685}, {48892, 55640}, {50969, 53097}, {50971, 55626}, {50974, 55606}, {51166, 53093}, {51212, 55695}, {51537, 55657}

X(62096) = midpoint of X(i) and X(j) for these {i,j}: {20, 15022}
X(62096) = anticomplement of X(61955)
X(62096) = pole of line {185, 61817} with respect to the Jerabek hyperbola
X(62096) = pole of line {69, 49136} with respect to the Wallace hyperbola
X(62096) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(49136)}}, {{A, B, C, X(1294), X(55864)}}, {{A, B, C, X(1597), X(34567)}}, {{A, B, C, X(3519), X(15684)}}, {{A, B, C, X(5072), X(15740)}}, {{A, B, C, X(5076), X(15749)}}, {{A, B, C, X(5198), X(11738)}}, {{A, B, C, X(11270), X(55578)}}, {{A, B, C, X(14528), X(35501)}}, {{A, B, C, X(17800), X(42021)}}, {{A, B, C, X(20421), X(35479)}}, {{A, B, C, X(46936), X(51348)}}, {{A, B, C, X(55575), X(57713)}}
X(62096) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 11001, 5067}, {3, 15686, 3832}, {3, 15690, 20}, {3, 15696, 15686}, {3, 17800, 15723}, {3, 20, 3545}, {3, 3534, 3853}, {3, 3543, 631}, {3, 382, 11812}, {3, 3850, 3523}, {3, 3853, 15708}, {3, 5059, 3533}, {3, 5067, 3524}, {3, 550, 5059}, {3, 6961, 15695}, {4, 140, 5071}, {4, 15702, 5056}, {4, 1657, 11541}, {4, 3522, 3528}, {20, 15022, 30}, {20, 15705, 546}, {140, 3529, 4}, {376, 15698, 15689}, {376, 15710, 15697}, {376, 3528, 17538}, {376, 3529, 15696}, {376, 3545, 15690}, {546, 1656, 5068}, {631, 3090, 10124}, {632, 6913, 3628}, {1532, 17504, 3525}, {3523, 5059, 3850}, {3528, 11001, 3}, {3533, 3545, 1656}, {3534, 15698, 6834}, {3830, 15712, 17590}, {3853, 15708, 3090}, {5067, 17538, 11001}, {8703, 15700, 10304}, {10304, 15686, 15719}, {10304, 15696, 3529}, {12103, 14093, 15717}, {12103, 15717, 15682}, {14813, 14814, 15684}, {15686, 15700, 3543}, {15692, 15704, 3855}, {42134, 42773, 43447}

X(62097) = X(2)X(3)∩X(13)X(43479)

X(62097) lies on these lines: {2, 3}, {13, 43479}, {14, 43480}, {15, 43242}, {16, 43243}, {40, 20050}, {69, 55626}, {146, 15020}, {147, 35022}, {148, 35021}, {152, 35024}, {153, 35023}, {154, 54211}, {165, 3626}, {193, 52987}, {253, 46724}, {390, 5563}, {542, 55628}, {576, 33748}, {577, 45245}, {597, 51211}, {599, 51134}, {944, 20054}, {962, 3636}, {1078, 32886}, {1131, 42267}, {1132, 42266}, {1350, 11008}, {1352, 55644}, {1503, 55641}, {1587, 9542}, {1588, 43884}, {2996, 60335}, {3241, 50812}, {3244, 5731}, {3411, 49827}, {3412, 49826}, {3424, 60210}, {3564, 55620}, {3592, 42638}, {3594, 42637}, {3600, 3746}, {3601, 3982}, {3617, 31663}, {3619, 55654}, {3620, 14810}, {3629, 25406}, {3631, 5921}, {3632, 4297}, {3644, 30271}, {3679, 51079}, {3917, 52093}, {4031, 11518}, {4299, 5281}, {4301, 51083}, {4302, 5265}, {5010, 5261}, {5032, 55718}, {5206, 37689}, {5237, 42090}, {5238, 42091}, {5274, 7280}, {5304, 35007}, {5334, 5351}, {5335, 5352}, {5343, 43032}, {5344, 43033}, {5365, 16242}, {5366, 16241}, {5395, 54920}, {5493, 16189}, {5550, 28150}, {5603, 31666}, {5609, 38788}, {5732, 60957}, {5881, 50820}, {5925, 35260}, {5984, 38742}, {6154, 38669}, {6241, 33884}, {6329, 10541}, {6361, 15178}, {6407, 42643}, {6408, 42644}, {6411, 43879}, {6412, 43880}, {6419, 43512}, {6420, 9541}, {6425, 6460}, {6426, 6459}, {6441, 42574}, {6442, 42575}, {6447, 7581}, {6448, 7582}, {6451, 13886}, {6452, 13939}, {6453, 7585}, {6454, 7586}, {6455, 23267}, {6456, 23273}, {6496, 42226}, {6497, 42225}, {6519, 42216}, {6522, 42215}, {6776, 55606}, {6781, 31400}, {7738, 22331}, {7782, 37668}, {7982, 9778}, {7987, 15808}, {7998, 40247}, {7999, 14641}, {8142, 48125}, {8550, 54174}, {8589, 31404}, {8972, 43314}, {9545, 37480}, {9588, 50864}, {9589, 58229}, {9692, 10147}, {9740, 34504}, {10148, 32788}, {10222, 20070}, {10519, 48892}, {10574, 36987}, {10575, 54041}, {10576, 12818}, {10577, 12819}, {10645, 43010}, {10646, 43011}, {10653, 42612}, {10654, 42613}, {11057, 32825}, {11160, 50975}, {11179, 55583}, {11424, 46865}, {11480, 42781}, {11481, 42782}, {11482, 48874}, {11522, 34638}, {13336, 43576}, {13348, 15072}, {13941, 43315}, {14023, 53142}, {14094, 38726}, {14561, 55677}, {14683, 38723}, {14853, 48885}, {14912, 55580}, {14927, 55646}, {14986, 15338}, {15012, 20791}, {15021, 16163}, {15029, 48378}, {15034, 16111}, {15036, 38795}, {15044, 38727}, {15051, 38791}, {15054, 24981}, {15069, 50976}, {15513, 43448}, {15582, 61088}, {16192, 59387}, {16772, 42932}, {16773, 42933}, {16964, 43331}, {16965, 43330}, {16981, 37481}, {17502, 46934}, {18439, 54044}, {18581, 42946}, {18582, 42947}, {19924, 55694}, {20049, 50809}, {20080, 55610}, {20094, 38731}, {20095, 51529}, {20096, 51528}, {20190, 33750}, {20423, 55698}, {20427, 50414}, {20582, 51216}, {20583, 50972}, {22234, 54132}, {22235, 42798}, {22237, 42797}, {22676, 32522}, {23235, 38736}, {25055, 58225}, {26864, 32601}, {28160, 46933}, {29012, 55652}, {29181, 55684}, {29317, 55675}, {30315, 50862}, {31371, 41427}, {31414, 52045}, {31447, 38074}, {31670, 55681}, {32826, 43459}, {34628, 38098}, {34632, 58245}, {34641, 50815}, {34747, 50808}, {35812, 43376}, {35813, 43377}, {36836, 42120}, {36843, 42119}, {36967, 42780}, {36968, 42779}, {37484, 61136}, {37640, 51945}, {37641, 51944}, {37665, 53096}, {38664, 38747}, {38668, 38771}, {38674, 38783}, {38688, 38803}, {38754, 51525}, {38766, 51526}, {38778, 51527}, {38798, 51535}, {39874, 55629}, {40330, 55653}, {40341, 44882}, {40693, 43485}, {40694, 43486}, {41963, 43384}, {41964, 43385}, {42085, 43870}, {42086, 43869}, {42112, 43196}, {42113, 43195}, {42122, 52080}, {42123, 52079}, {42140, 42599}, {42141, 42598}, {42143, 43474}, {42144, 43464}, {42145, 43463}, {42146, 43473}, {42149, 43419}, {42150, 42528}, {42151, 42529}, {42152, 43418}, {42157, 42938}, {42158, 42939}, {42159, 42630}, {42160, 42931}, {42161, 42930}, {42162, 42629}, {42431, 43540}, {42432, 43541}, {42433, 42998}, {42434, 42999}, {42488, 43230}, {42489, 43231}, {42578, 53513}, {42579, 53516}, {42584, 43487}, {42585, 43488}, {42592, 43324}, {42593, 43325}, {42625, 43421}, {42626, 43420}, {42635, 42990}, {42636, 42991}, {42773, 42941}, {42774, 42940}, {42775, 43401}, {42776, 43402}, {42803, 42942}, {42804, 42943}, {42954, 43636}, {42955, 43637}, {42986, 43631}, {42987, 43630}, {43403, 43546}, {43404, 43547}, {43430, 43889}, {43431, 43890}, {43537, 60626}, {43570, 60622}, {43571, 60623}, {43621, 55670}, {45957, 54047}, {46264, 55631}, {48880, 55679}, {48881, 53093}, {48898, 55647}, {48906, 55595}, {50967, 55600}, {50969, 55588}, {50971, 51215}, {51170, 55724}, {51538, 55676}, {51737, 53858}, {53100, 60628}, {53102, 54522}, {54050, 58795}, {54173, 55623}, {54921, 60219}, {54934, 60285}, {59418, 60942}, {60142, 60648}, {60305, 60311}, {60306, 60312}, {60337, 60635}

X(62097) = midpoint of X(i) and X(j) for these {i,j}: {20, 5056}, {3534, 15718}
X(62097) = reflection of X(i) in X(j) for these {i,j}: {2, 15715}, {3525, 3}, {3855, 15720}, {4, 5070}, {5056, 15717}
X(62097) = anticomplement of X(3855)
X(62097) = pole of line {185, 61820} with respect to the Jerabek hyperbola
X(62097) = pole of line {69, 49135} with respect to the Wallace hyperbola
X(62097) = intersection, other than A, B, C, of circumconics {{A, B, C, X(20), X(57894)}}, {{A, B, C, X(69), X(49135)}}, {{A, B, C, X(253), X(546)}}, {{A, B, C, X(547), X(1217)}}, {{A, B, C, X(548), X(60618)}}, {{A, B, C, X(1294), X(3525)}}, {{A, B, C, X(1656), X(51348)}}, {{A, B, C, X(3346), X(3545)}}, {{A, B, C, X(3830), X(31361)}}, {{A, B, C, X(3839), X(31371)}}, {{A, B, C, X(3858), X(4846)}}, {{A, B, C, X(5068), X(15740)}}, {{A, B, C, X(5072), X(31363)}}, {{A, B, C, X(6353), X(60335)}}, {{A, B, C, X(7714), X(54934)}}, {{A, B, C, X(8889), X(54920)}}, {{A, B, C, X(11270), X(47486)}}, {{A, B, C, X(13452), X(52294)}}, {{A, B, C, X(15077), X(17578)}}, {{A, B, C, X(15687), X(32533)}}, {{A, B, C, X(15696), X(18850)}}, {{A, B, C, X(15710), X(18851)}}, {{A, B, C, X(15723), X(22270)}}, {{A, B, C, X(46333), X(60122)}}, {{A, B, C, X(50688), X(57823)}}, {{A, B, C, X(52283), X(60210)}}
X(62097) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15700, 15708}, {2, 15710, 15692}, {2, 15717, 15720}, {2, 16347, 17546}, {2, 16408, 1010}, {2, 17531, 13740}, {2, 3146, 546}, {2, 3522, 3528}, {2, 3855, 5056}, {2, 4201, 17575}, {2, 474, 13741}, {2, 550, 20}, {3, 14869, 10299}, {3, 15681, 5079}, {3, 15696, 12103}, {3, 15704, 3090}, {3, 1657, 3628}, {3, 30, 3525}, {3, 3146, 10303}, {3, 3534, 3627}, {3, 3627, 631}, {3, 3628, 3524}, {3, 382, 14869}, {3, 5076, 12108}, {3, 5079, 3530}, {3, 550, 3529}, {4, 15719, 5070}, {4, 3528, 15710}, {4, 376, 15696}, {4, 631, 547}, {20, 10303, 3146}, {20, 15640, 1657}, {20, 3522, 10304}, {20, 3839, 5059}, {20, 5056, 30}, {30, 15720, 3855}, {140, 11001, 17578}, {376, 10304, 15697}, {376, 3524, 15690}, {546, 3530, 632}, {548, 550, 15688}, {550, 3530, 15681}, {632, 15696, 17538}, {1010, 14269, 3544}, {1657, 3524, 3832}, {1657, 3832, 15640}, {3090, 17538, 15704}, {3091, 10304, 3}, {3522, 17578, 14093}, {3523, 3543, 7486}, {3526, 15682, 3854}, {3528, 15688, 3522}, {3529, 17504, 15022}, {3529, 3544, 382}, {3529, 4221, 549}, {3530, 15720, 15719}, {3544, 11539, 17539}, {3627, 15022, 3839}, {3628, 17800, 3149}, {5056, 15717, 15721}, {5073, 12100, 5067}, {10304, 15697, 3543}, {11001, 14093, 15705}, {11540, 17800, 4}, {11541, 15708, 3091}, {12108, 15704, 5076}, {13587, 17544, 16371}, {15681, 15688, 8703}, {15681, 15696, 550}, {15681, 15710, 2}, {15685, 15714, 15709}, {15691, 15712, 17800}, {15705, 17578, 140}, {15710, 15719, 15715}, {15712, 17800, 3545}, {15715, 15720, 15717}, {15717, 15721, 3523}, {33750, 48873, 51171}

X(62098) = X(2)X(3)∩X(13)X(42971)

X(62098) lies on these lines: {2, 3}, {13, 42971}, {14, 42970}, {165, 59400}, {395, 43245}, {396, 43244}, {524, 55603}, {542, 55627}, {597, 48885}, {1353, 55587}, {1483, 12512}, {1503, 55640}, {3098, 50971}, {3564, 55618}, {3579, 4701}, {3653, 61274}, {3655, 50812}, {3818, 50980}, {5097, 33751}, {5318, 42530}, {5321, 42531}, {5349, 43247}, {5350, 43246}, {5476, 55683}, {6411, 43211}, {6412, 43212}, {6429, 42261}, {6430, 42260}, {6431, 52047}, {6432, 52048}, {6449, 43256}, {6450, 43257}, {6453, 42418}, {6454, 42417}, {6480, 42216}, {6481, 42215}, {6484, 32787}, {6485, 32788}, {6486, 42259}, {6487, 42258}, {6781, 15602}, {7739, 44541}, {7776, 32891}, {9778, 61283}, {10283, 28198}, {10645, 44019}, {10646, 44020}, {10653, 51945}, {10654, 51944}, {10706, 22251}, {11160, 55616}, {11178, 50981}, {11179, 50968}, {11180, 55639}, {11278, 50816}, {11531, 61284}, {11645, 55645}, {11694, 20127}, {12702, 50813}, {13348, 45957}, {13624, 34638}, {14848, 33750}, {14929, 59634}, {15326, 51817}, {16241, 42145}, {16242, 42144}, {16267, 42088}, {16268, 42087}, {16644, 42584}, {16645, 42585}, {16772, 46334}, {16773, 46335}, {16962, 42118}, {16963, 42117}, {16966, 43642}, {16967, 43641}, {17502, 38022}, {17508, 38079}, {18480, 50825}, {18481, 50820}, {18483, 51084}, {19924, 55695}, {20423, 55699}, {20582, 55655}, {21356, 55643}, {21850, 50987}, {22165, 55631}, {22791, 50832}, {25055, 28178}, {25565, 55666}, {28150, 61270}, {28168, 61260}, {28174, 30392}, {28182, 58221}, {28186, 61254}, {28202, 38028}, {28208, 38081}, {29181, 55685}, {31730, 51083}, {33179, 51705}, {33606, 42797}, {33607, 42798}, {33878, 50969}, {34628, 61250}, {34718, 50819}, {34748, 50809}, {34754, 42529}, {34755, 42528}, {34773, 50808}, {35770, 41945}, {35771, 41946}, {35822, 43887}, {35823, 43888}, {36969, 43107}, {36970, 43100}, {37517, 50972}, {37705, 50822}, {38066, 61251}, {38110, 55680}, {39899, 51177}, {41107, 42891}, {41108, 42890}, {41149, 55583}, {42090, 42913}, {42091, 42912}, {42122, 42634}, {42123, 42633}, {42159, 42587}, {42162, 42586}, {42163, 42953}, {42166, 42952}, {42433, 43228}, {42434, 43229}, {42510, 42925}, {42511, 42924}, {42791, 42980}, {42792, 42981}, {42906, 42940}, {42907, 42941}, {42984, 43649}, {42985, 43644}, {43000, 43497}, {43001, 43498}, {43201, 43648}, {43202, 43647}, {43273, 51183}, {43634, 49876}, {43635, 49875}, {44882, 55612}, {46264, 50976}, {47354, 55653}, {48310, 55670}, {48876, 55633}, {48879, 50959}, {48880, 50983}, {48881, 50664}, {48892, 51134}, {48906, 50965}, {48943, 51129}, {50810, 61295}, {50821, 51081}, {50826, 50868}, {50830, 51080}, {50833, 51119}, {50970, 51182}, {50974, 55604}, {50977, 55642}, {50984, 55658}, {50985, 51135}, {50988, 51165}, {51077, 58244}, {54173, 55622}, {58227, 61275}

X(62098) = midpoint of X(i) and X(j) for these {i,j}: {20, 5055}, {376, 15688}, {3524, 3534}, {3839, 15681}, {10304, 15689}, {11539, 15686}
X(62098) = reflection of X(i) in X(j) for these {i,j}: {11539, 3}, {14892, 3530}, {15687, 5055}, {15688, 548}, {15699, 17504}, {17504, 10304}, {3830, 14892}, {3839, 140}, {3845, 11539}, {38022, 17502}, {38079, 17508}, {48310, 55670}, {5, 3524}, {546, 14890}, {5055, 12100}, {61251, 38066}, {8703, 15688}
X(62098) = complement of X(62020)
X(62098) = anticomplement of X(61957)
X(62098) = pole of line {185, 61821} with respect to the Jerabek hyperbola
X(62098) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(11539)}}, {{A, B, C, X(15696), X(57822)}}, {{A, B, C, X(18317), X(38071)}}, {{A, B, C, X(44904), X(55958)}}
X(62098) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15691, 15704}, {2, 15696, 15691}, {2, 376, 15696}, {3, 11001, 547}, {3, 15686, 3845}, {3, 16239, 15712}, {3, 1657, 5067}, {3, 20, 3850}, {3, 30, 11539}, {3, 3534, 3543}, {3, 376, 15690}, {3, 381, 15719}, {3, 5056, 3530}, {3, 5059, 16239}, {4, 14891, 15713}, {5, 15704, 5073}, {5, 15712, 10303}, {20, 12100, 15687}, {20, 14093, 12100}, {20, 15710, 5055}, {30, 10304, 17504}, {30, 14892, 3830}, {30, 15688, 8703}, {30, 17504, 15699}, {30, 3530, 14892}, {30, 548, 15688}, {376, 10304, 15689}, {376, 15695, 548}, {376, 3528, 15697}, {381, 15697, 12103}, {381, 3528, 15759}, {382, 15698, 10124}, {547, 11812, 3533}, {550, 632, 20}, {631, 15685, 14893}, {1657, 15692, 5066}, {3091, 15718, 11540}, {3146, 15701, 11737}, {3146, 17549, 3091}, {3522, 10303, 3528}, {3523, 15684, 10109}, {3524, 3533, 15708}, {3528, 5059, 3}, {3529, 15694, 12101}, {3530, 14892, 15709}, {3534, 14093, 15720}, {3534, 15694, 3529}, {3534, 5076, 15681}, {3534, 8703, 15711}, {3543, 3545, 14269}, {3839, 15706, 140}, {3845, 15699, 3545}, {3850, 12100, 15702}, {5055, 14093, 15710}, {5066, 15692, 14869}, {5071, 15716, 12108}, {8703, 15704, 15714}, {10299, 15640, 15703}, {10303, 15705, 3524}, {10304, 15689, 30}, {11812, 15690, 3534}, {12100, 15687, 632}, {12101, 15694, 5}, {12103, 15759, 381}, {12103, 16239, 5059}, {15640, 15703, 3861}, {15681, 15706, 3839}, {15681, 15722, 5076}, {15682, 15700, 3628}, {15683, 15693, 546}, {15686, 15690, 550}, {15688, 15689, 10304}, {15697, 16239, 15686}, {15699, 17504, 549}, {15702, 15720, 11812}, {15704, 15714, 2}, {15716, 17800, 5071}, {51134, 54169, 48892}

X(62099) = X(2)X(3)∩X(165)X(51072)

X(62099) lies on these lines: {2, 3}, {165, 51072}, {1993, 46945}, {4677, 50815}, {4745, 51081}, {5351, 49810}, {5352, 49811}, {5731, 50812}, {6221, 43797}, {6398, 43798}, {6436, 9541}, {6496, 43340}, {6497, 43341}, {6776, 55605}, {7585, 42418}, {7586, 42417}, {8584, 50972}, {8972, 43209}, {9540, 43342}, {9589, 41150}, {10645, 49825}, {10646, 49824}, {11179, 55581}, {12007, 54170}, {12512, 51093}, {13607, 34632}, {13935, 43343}, {13941, 43210}, {14907, 32896}, {14927, 50993}, {15533, 50971}, {16192, 51069}, {20080, 55609}, {20423, 55700}, {22843, 36324}, {22890, 36326}, {23249, 42608}, {23251, 60293}, {23259, 42609}, {23261, 60294}, {25406, 50968}, {31412, 42606}, {31884, 50990}, {33602, 42691}, {33603, 42690}, {33751, 55714}, {34628, 51068}, {34638, 51110}, {37640, 42508}, {37641, 42509}, {41119, 42504}, {41120, 42505}, {41945, 43338}, {41946, 43339}, {42087, 49861}, {42088, 49862}, {42090, 49827}, {42091, 49826}, {42093, 51916}, {42094, 51915}, {42101, 42515}, {42102, 42514}, {42119, 42792}, {42120, 42791}, {42260, 42524}, {42261, 42525}, {42532, 49875}, {42533, 49876}, {42561, 42607}, {42602, 43560}, {42603, 43561}, {42604, 43789}, {42605, 43790}, {42686, 43466}, {42687, 43465}, {43002, 43869}, {43003, 43870}, {43028, 43478}, {43029, 43477}, {43302, 43646}, {43303, 43645}, {44882, 50992}, {46334, 49860}, {46335, 49859}, {50813, 51087}, {50819, 59417}, {50820, 50827}, {50956, 55660}, {50967, 55599}, {50969, 51140}, {50975, 55613}, {50976, 50982}, {50985, 51177}, {50991, 59411}, {51028, 55717}, {51083, 51085}, {51108, 59420}, {51119, 61271}, {51143, 55651}, {51170, 55723}, {51178, 55603}, {54132, 55713}, {54173, 55621}, {54521, 54639}, {54608, 60639}, {54866, 60200}, {60102, 60632}, {60175, 60625}, {60192, 60650}, {60228, 60336}, {60282, 60331}

X(62099) = anticomplement of X(61958)
X(62099) = pole of line {6, 60299} with respect to the Kiepert hyperbola
X(62099) = pole of line {69, 62051} with respect to the Wallace hyperbola
X(62099) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(35402)}}, {{A, B, C, X(3346), X(12811)}}
X(62099) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15682, 3832}, {2, 3534, 15683}, {2, 3854, 10109}, {3, 20, 3854}, {20, 546, 5059}, {376, 15688, 20}, {376, 3524, 15696}, {376, 3528, 15689}, {376, 8703, 15697}, {548, 549, 15688}, {549, 1656, 15709}, {549, 5055, 3525}, {550, 8703, 11812}, {3522, 15683, 10304}, {3524, 15684, 7486}, {3534, 15695, 548}, {3534, 15759, 4}, {3534, 5066, 11001}, {3830, 15688, 8703}, {3832, 17678, 5055}, {5068, 15717, 10303}, {8703, 15690, 3830}, {10304, 15640, 15698}, {10304, 15683, 15717}, {10304, 15697, 15640}, {11001, 15698, 5066}, {12811, 15685, 15682}, {15022, 15705, 549}, {15640, 15697, 3534}, {15640, 15698, 2}, {15681, 15708, 17578}, {15682, 15709, 6952}, {15683, 15705, 15022}, {15685, 15719, 3839}, {15686, 15710, 3091}, {15704, 15709, 3543}, {15719, 17538, 15685}

X(62100) = X(2)X(3)∩X(6)X(33751)

X(62100) lies on these lines: {2, 3}, {6, 33751}, {15, 43018}, {16, 43019}, {17, 42127}, {18, 42126}, {32, 44541}, {40, 61294}, {61, 42625}, {62, 42626}, {64, 26861}, {69, 55624}, {141, 55648}, {146, 38638}, {147, 38635}, {148, 38634}, {149, 38637}, {153, 38636}, {185, 54048}, {195, 37483}, {397, 42091}, {398, 42090}, {399, 10990}, {485, 6496}, {486, 6497}, {524, 55602}, {541, 15039}, {542, 50976}, {599, 55637}, {962, 58230}, {1038, 9642}, {1151, 51910}, {1152, 51911}, {1350, 33542}, {1352, 55643}, {1482, 5493}, {1498, 52099}, {1503, 55639}, {1587, 6445}, {1588, 6446}, {1620, 13403}, {3019, 50677}, {3053, 5355}, {3070, 6451}, {3071, 6452}, {3098, 11898}, {3207, 41326}, {3448, 38633}, {3519, 3532}, {3564, 55616}, {3579, 4816}, {3622, 28216}, {3624, 28154}, {3653, 51075}, {3763, 48896}, {3818, 55654}, {4297, 18526}, {4304, 37545}, {4316, 9654}, {4324, 9669}, {4746, 18481}, {4857, 5204}, {5010, 9655}, {5023, 7755}, {5050, 48881}, {5085, 48885}, {5093, 48874}, {5206, 44519}, {5210, 7756}, {5217, 5270}, {5237, 41973}, {5238, 41974}, {5254, 15655}, {5339, 10646}, {5340, 10645}, {5343, 42121}, {5344, 42124}, {5349, 42089}, {5350, 42092}, {5351, 42154}, {5352, 42155}, {5365, 42144}, {5366, 42145}, {5447, 18439}, {5480, 55678}, {5585, 7746}, {5702, 33636}, {5790, 35242}, {5876, 52093}, {5882, 12512}, {5894, 32063}, {5918, 40266}, {5925, 11202}, {5965, 55607}, {6030, 43585}, {6053, 16111}, {6144, 55596}, {6199, 42638}, {6221, 42261}, {6241, 54042}, {6243, 36987}, {6361, 37624}, {6395, 42637}, {6398, 42260}, {6407, 42216}, {6408, 42215}, {6409, 8960}, {6410, 58866}, {6411, 8976}, {6412, 13951}, {6418, 9541}, {6427, 9681}, {6428, 41945}, {6449, 18512}, {6450, 18510}, {6455, 6560}, {6456, 6561}, {6776, 55604}, {6781, 15815}, {7280, 9668}, {7585, 9691}, {7592, 37496}, {7666, 35602}, {7753, 31470}, {7767, 32824}, {7782, 7917}, {7869, 32456}, {7991, 50805}, {8148, 9778}, {8550, 33878}, {8567, 34785}, {8588, 44518}, {8666, 34707}, {8715, 34740}, {8717, 43652}, {8778, 41366}, {9588, 28208}, {9624, 28202}, {9729, 13321}, {9780, 28190}, {9821, 32519}, {10187, 16809}, {10188, 16808}, {10194, 42275}, {10195, 42276}, {10246, 31730}, {10263, 20791}, {10282, 48672}, {10516, 48891}, {10541, 19924}, {10605, 10619}, {10620, 11850}, {10625, 13382}, {10627, 15072}, {10984, 37477}, {10991, 13188}, {10992, 12188}, {10993, 12773}, {11178, 55650}, {11179, 55580}, {11204, 14864}, {11258, 38798}, {11270, 14841}, {11362, 50804}, {11444, 54044}, {11480, 42158}, {11481, 42157}, {11482, 51737}, {11485, 42151}, {11486, 42150}, {11522, 13624}, {11542, 43769}, {11543, 43770}, {11623, 38730}, {11645, 55644}, {11742, 44535}, {11935, 37480}, {12017, 48873}, {12121, 20417}, {12163, 33544}, {12279, 15067}, {12290, 32142}, {12315, 15105}, {12331, 38754}, {12384, 38639}, {12699, 59420}, {12897, 21970}, {13093, 44762}, {13115, 14900}, {13340, 40647}, {13348, 14855}, {13925, 43376}, {13993, 43377}, {14133, 50672}, {14528, 14861}, {14530, 20427}, {14537, 31492}, {14641, 18435}, {14643, 15042}, {14810, 18440}, {14848, 20190}, {14862, 17821}, {14907, 32820}, {15036, 34584}, {15040, 16534}, {15041, 16163}, {15046, 48378}, {15047, 44413}, {15051, 38789}, {15069, 55631}, {15484, 37512}, {15513, 44526}, {15515, 31467}, {15534, 55588}, {16192, 28160}, {16644, 43633}, {16645, 43632}, {16936, 18451}, {17502, 18493}, {17508, 48872}, {18525, 31663}, {18538, 42414}, {18553, 48905}, {18762, 42413}, {19130, 55671}, {21850, 33750}, {22236, 42433}, {22238, 42434}, {22676, 48673}, {22793, 58221}, {23039, 46850}, {24206, 55656}, {25406, 55584}, {25555, 48880}, {28158, 61268}, {28168, 31423}, {28194, 51083}, {28198, 30389}, {28204, 50820}, {28232, 61277}, {29012, 55651}, {29317, 42785}, {29323, 55658}, {31162, 31666}, {31479, 59325}, {31670, 55682}, {31884, 34507}, {32612, 41853}, {33520, 38574}, {33521, 38572}, {33596, 60922}, {34632, 61286}, {34782, 35450}, {35240, 51933}, {35255, 43407}, {35256, 43408}, {35770, 43338}, {35771, 43339}, {36836, 36968}, {36843, 36967}, {36969, 42490}, {36970, 42491}, {36990, 55653}, {37498, 43845}, {37727, 50808}, {37832, 42909}, {37835, 42908}, {38064, 51130}, {38066, 50801}, {38573, 38778}, {38579, 38783}, {38591, 52057}, {38593, 38803}, {38749, 52090}, {38805, 52698}, {39899, 44882}, {40107, 55641}, {40262, 48664}, {40280, 45186}, {40341, 55612}, {41121, 42586}, {41122, 42587}, {42021, 43719}, {42085, 42944}, {42086, 42945}, {42087, 42149}, {42088, 42152}, {42093, 42937}, {42094, 42936}, {42096, 42774}, {42097, 42773}, {42099, 42129}, {42100, 42132}, {42108, 42948}, {42109, 42949}, {42122, 42999}, {42123, 42998}, {42125, 42432}, {42128, 42431}, {42136, 42495}, {42137, 42494}, {42584, 43771}, {42585, 43772}, {42633, 43635}, {42634, 43634}, {42890, 42969}, {42891, 42968}, {42926, 43496}, {42927, 43495}, {43022, 43030}, {43023, 43031}, {43150, 55640}, {43273, 55606}, {43296, 43783}, {43297, 43784}, {43401, 51915}, {43402, 51916}, {43409, 43432}, {43410, 43433}, {46264, 55629}, {47102, 59546}, {47352, 55679}, {47355, 55669}, {48876, 55632}, {48879, 55670}, {48884, 55659}, {48889, 55660}, {48895, 55667}, {48898, 55646}, {48901, 55673}, {48904, 55668}, {48906, 55593}, {48910, 55674}, {48920, 53023}, {50798, 51079}, {50816, 51077}, {50954, 55647}, {50955, 51134}, {50961, 50971}, {50962, 50968}, {50965, 51174}, {50972, 51132}, {50975, 51175}, {51173, 55681}, {51185, 55694}, {51212, 55697}, {54131, 55687}, {54445, 58224}, {54891, 60642}, {58247, 61597}

X(62100) = midpoint of X(i) and X(j) for these {i,j}: {20, 3090}, {3534, 15700}
X(62100) = reflection of X(i) in X(j) for these {i,j}: {15703, 15698}, {3, 3528}, {381, 15701}, {3526, 3}, {3832, 14869}, {3851, 3523}, {47355, 55669}
X(62100) = inverse of X(61940) in orthocentroidal circle
X(62100) = inverse of X(61940) in Yff hyperbola
X(62100) = complement of X(62021)
X(62100) = anticomplement of X(3857)
X(62100) = pole of line {523, 61940} with respect to the orthocentroidal circle
X(62100) = pole of line {185, 15720} with respect to the Jerabek hyperbola
X(62100) = pole of line {6, 61940} with respect to the Kiepert hyperbola
X(62100) = pole of line {523, 61940} with respect to the Yff hyperbola
X(62100) = pole of line {69, 11541} with respect to the Wallace hyperbola
X(62100) = intersection, other than A, B, C, of circumconics {{A, B, C, X(20), X(26861)}}, {{A, B, C, X(64), X(26863)}}, {{A, B, C, X(69), X(11541)}}, {{A, B, C, X(265), X(50688)}}, {{A, B, C, X(382), X(14841)}}, {{A, B, C, X(1105), X(15720)}}, {{A, B, C, X(1294), X(3526)}}, {{A, B, C, X(2693), X(37947)}}, {{A, B, C, X(3091), X(14861)}}, {{A, B, C, X(3146), X(3519)}}, {{A, B, C, X(3518), X(3532)}}, {{A, B, C, X(3521), X(50689)}}, {{A, B, C, X(3529), X(42021)}}, {{A, B, C, X(3544), X(15740)}}, {{A, B, C, X(3843), X(15319)}}, {{A, B, C, X(3856), X(15318)}}, {{A, B, C, X(5879), X(34864)}}, {{A, B, C, X(6662), X(38071)}}, {{A, B, C, X(7486), X(51348)}}, {{A, B, C, X(10109), X(13599)}}, {{A, B, C, X(10594), X(43719)}}, {{A, B, C, X(12102), X(21400)}}, {{A, B, C, X(13623), X(15022)}}, {{A, B, C, X(14528), X(14865)}}, {{A, B, C, X(14893), X(52441)}}, {{A, B, C, X(15693), X(40448)}}, {{A, B, C, X(15703), X(60171)}}, {{A, B, C, X(18317), X(41106)}}, {{A, B, C, X(19710), X(60122)}}, {{A, B, C, X(34483), X(49140)}}, {{A, B, C, X(35475), X(57713)}}, {{A, B, C, X(35502), X(43908)}}, {{A, B, C, X(43917), X(44995)}}
X(62100) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11541, 3861}, {2, 12103, 17800}, {2, 15711, 6863}, {2, 17800, 5076}, {2, 20, 11541}, {3, 15694, 15717}, {3, 15695, 548}, {3, 15704, 5079}, {3, 17800, 2}, {3, 3526, 15700}, {3, 376, 15696}, {3, 382, 5054}, {3, 3830, 631}, {3, 3843, 549}, {3, 4, 15720}, {3, 5055, 3530}, {3, 5070, 3524}, {3, 5073, 140}, {3, 548, 15688}, {3, 631, 15706}, {20, 140, 5073}, {20, 3090, 30}, {20, 3524, 3627}, {20, 3627, 15685}, {30, 14869, 3832}, {30, 15698, 15703}, {30, 3523, 3851}, {140, 3523, 15701}, {140, 3627, 5068}, {140, 381, 1656}, {140, 3850, 15699}, {140, 5068, 5070}, {140, 5073, 381}, {140, 550, 20}, {376, 10304, 15690}, {376, 8703, 15689}, {381, 3526, 3090}, {382, 5054, 5072}, {546, 15717, 15694}, {548, 550, 3522}, {549, 3529, 3843}, {550, 3858, 15686}, {631, 15704, 3830}, {1532, 3525, 3545}, {1656, 3522, 14093}, {1656, 3534, 1657}, {1657, 15696, 550}, {1657, 15706, 3850}, {1657, 15720, 4}, {2041, 2042, 3856}, {2045, 2046, 11539}, {3146, 3533, 3858}, {3522, 3523, 3528}, {3522, 5059, 10304}, {3523, 17566, 15709}, {3525, 15683, 3853}, {3528, 17538, 15702}, {3529, 7397, 8703}, {3530, 3858, 3533}, {3534, 8703, 15716}, {3543, 15759, 15707}, {3830, 15706, 15723}, {3832, 15698, 14869}, {3845, 15710, 15718}, {3853, 17504, 3525}, {5059, 10304, 10299}, {5237, 43194, 42975}, {5238, 43193, 42974}, {6411, 42267, 8976}, {6412, 42266, 13951}, {6449, 42259, 18512}, {6450, 42258, 18510}, {6455, 6560, 13903}, {6456, 6561, 13961}, {6879, 17578, 14893}, {7580, 15717, 15682}, {9681, 41946, 6427}, {10263, 55286, 20791}, {10299, 15702, 3523}, {10299, 17538, 5059}, {10304, 15681, 15693}, {10304, 15682, 14891}, {10304, 15690, 15681}, {10304, 17538, 5}, {10619, 12307, 13432}, {10645, 42131, 42817}, {10646, 42130, 42818}, {11001, 15717, 546}, {11480, 42158, 42988}, {11481, 42157, 42989}, {12101, 15721, 5055}, {13348, 14855, 18436}, {13348, 18436, 54047}, {14810, 59411, 18440}, {14813, 14814, 3146}, {14869, 15703, 3526}, {15685, 15689, 15691}, {15688, 15696, 3}, {15690, 15693, 3534}, {15693, 15696, 17538}, {15704, 15723, 382}, {17563, 17576, 16857}, {37853, 38723, 10620}, {38726, 38788, 399}, {38731, 38747, 12188}, {38736, 38742, 13188}, {42431, 43238, 42128}, {42432, 43239, 42125}, {42434, 42528, 22238}, {44882, 55610, 39899}, {48891, 55655, 10516}, {48920, 55672, 53023}, {52093, 54041, 5876}

X(62101) = X(2)X(3)∩X(15)X(42416)

X(62101) lies on these lines: {2, 3}, {15, 42416}, {16, 42415}, {61, 42420}, {62, 42419}, {511, 50972}, {515, 51081}, {517, 50816}, {524, 55601}, {542, 55625}, {597, 55689}, {952, 50815}, {1503, 55638}, {1699, 50833}, {3564, 50971}, {3579, 34641}, {3629, 55585}, {3631, 48892}, {3636, 28198}, {3654, 50820}, {3655, 51094}, {4669, 28224}, {4745, 31663}, {5844, 50808}, {5901, 34638}, {5965, 51135}, {6329, 19924}, {6468, 42216}, {6469, 42215}, {8584, 55720}, {10645, 49903}, {10646, 49904}, {11224, 50824}, {11542, 46334}, {11543, 46335}, {12816, 42889}, {12817, 42888}, {12818, 43254}, {12819, 43255}, {12820, 42109}, {12821, 42108}, {14810, 50991}, {15516, 33751}, {15520, 51737}, {15534, 50968}, {16881, 55286}, {16962, 43485}, {16963, 43486}, {17502, 51109}, {19106, 43230}, {19107, 43231}, {20190, 41153}, {20582, 48891}, {20583, 55716}, {22165, 51134}, {28160, 51069}, {28168, 50829}, {28174, 51103}, {28178, 50828}, {28202, 51108}, {28212, 51083}, {29012, 51143}, {29181, 55686}, {29323, 50984}, {33750, 50987}, {34380, 50965}, {34628, 61510}, {34632, 61597}, {34747, 34773}, {35255, 43209}, {35256, 43210}, {36967, 42792}, {36968, 42791}, {36969, 43872}, {36970, 43871}, {38079, 48872}, {38098, 61524}, {39884, 51186}, {41107, 43106}, {41108, 43105}, {41121, 42629}, {41122, 42630}, {41943, 42798}, {41944, 42797}, {42087, 42497}, {42088, 42496}, {42089, 43247}, {42090, 49948}, {42091, 49947}, {42092, 43246}, {42115, 49827}, {42116, 49826}, {42122, 42528}, {42123, 42529}, {42130, 49824}, {42131, 49825}, {42136, 49908}, {42137, 49907}, {42147, 42533}, {42148, 42532}, {42154, 49810}, {42155, 49811}, {42266, 43212}, {42267, 43211}, {42417, 42524}, {42418, 42525}, {42429, 43195}, {42430, 43196}, {42502, 43013}, {42503, 43012}, {42504, 42973}, {42505, 42972}, {42506, 42939}, {42507, 42938}, {42510, 42626}, {42511, 42625}, {42568, 43342}, {42569, 43343}, {42631, 42942}, {42632, 42943}, {42633, 49875}, {42634, 49876}, {42635, 43022}, {42636, 43023}, {42682, 43545}, {42683, 43544}, {42686, 43001}, {42687, 43000}, {42984, 43364}, {42985, 43365}, {43002, 49874}, {43003, 49873}, {44882, 55608}, {48310, 48879}, {48873, 51185}, {48881, 55710}, {48885, 51732}, {50812, 51093}, {50826, 59387}, {50959, 55670}, {50961, 55618}, {50975, 50992}, {50976, 54173}, {50980, 55654}, {50982, 55627}, {50986, 55593}, {50988, 53023}, {50989, 55626}, {51023, 55643}, {51067, 61249}, {51084, 61269}, {51120, 61280}, {51136, 55603}, {51139, 55664}, {51709, 59420}, {54169, 55635}, {54170, 61624}

X(62101) = midpoint of X(i) and X(j) for these {i,j}: {3, 15691}, {20, 547}, {140, 15686}, {376, 548}, {546, 15681}, {549, 12103}, {3534, 12100}, {5901, 34638}, {8703, 15690}, {11001, 12101}, {14893, 15704}, {20582, 48891}, {34628, 61510}, {34632, 61597}, {54170, 61624}
X(62101) = reflection of X(i) in X(j) for these {i,j}: {10109, 12100}, {10124, 3}, {11737, 3530}, {11812, 15759}, {12102, 547}, {14893, 16239}, {15759, 8703}, {381, 12108}, {3543, 3856}, {3628, 14891}, {3845, 11540}, {3850, 549}, {3860, 11812}, {3861, 10124}
X(62101) = complement of X(62022)
X(62101) = anticomplement of X(61960)
X(62101) = pole of line {69, 62052} with respect to the Wallace hyperbola
X(62101) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(10124)}}, {{A, B, C, X(3830), X(57823)}}, {{A, B, C, X(43970), X(50693)}}
X(62101) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 382}, {2, 15688, 8703}, {2, 15698, 15707}, {3, 15682, 15713}, {3, 15683, 15699}, {3, 1657, 7486}, {3, 20, 3858}, {3, 30, 10124}, {3, 3534, 15682}, {3, 3839, 549}, {20, 15715, 14269}, {30, 11540, 3845}, {30, 11812, 3860}, {30, 12100, 10109}, {30, 12108, 381}, {30, 14891, 3628}, {30, 16239, 14893}, {30, 3856, 3543}, {30, 547, 12102}, {30, 549, 3850}, {30, 8703, 15759}, {140, 12100, 15719}, {376, 10304, 15696}, {376, 3522, 15689}, {376, 8703, 15690}, {382, 3839, 15687}, {382, 550, 12103}, {548, 12103, 3522}, {549, 11001, 12101}, {550, 14869, 20}, {550, 17504, 15681}, {3524, 14893, 16239}, {3528, 15681, 17504}, {3529, 15696, 550}, {3830, 10304, 15711}, {3845, 12100, 11540}, {5066, 12101, 3839}, {5066, 15690, 15691}, {5071, 10304, 3}, {8703, 15695, 548}, {8703, 15711, 10304}, {10109, 12100, 11812}, {10109, 15682, 3861}, {10109, 15759, 12100}, {10124, 15687, 11737}, {10299, 12108, 3530}, {10304, 15686, 140}, {10304, 15696, 15686}, {11001, 12101, 30}, {11001, 15710, 2}, {11812, 15759, 14891}, {12100, 15690, 3534}, {12101, 12103, 11001}, {12102, 15759, 15693}, {14093, 15685, 15698}, {14269, 14869, 547}, {14269, 15715, 14869}, {15681, 15688, 3528}, {15681, 17504, 546}, {15682, 15713, 5066}, {15682, 15719, 5071}, {15684, 15705, 632}, {15685, 15698, 5}, {15686, 15711, 3830}, {15687, 15699, 3855}, {15688, 15689, 15710}, {15688, 15696, 15700}, {15690, 15691, 15697}

X(62102) = X(2)X(3)∩X(165)X(4678)

X(62102) lies on these lines: {2, 3}, {40, 20014}, {69, 55622}, {145, 12512}, {165, 4678}, {193, 55591}, {316, 32873}, {397, 51945}, {398, 51944}, {590, 43519}, {615, 43520}, {1131, 6411}, {1132, 6412}, {1352, 55642}, {1587, 6484}, {1588, 6485}, {1992, 50972}, {3241, 50816}, {3617, 61252}, {3620, 59411}, {3621, 4297}, {3622, 9589}, {3623, 9778}, {3679, 51081}, {3785, 32880}, {4301, 30392}, {4309, 37587}, {4325, 51817}, {4330, 14986}, {4788, 30271}, {5010, 31410}, {5102, 61044}, {5188, 20105}, {5265, 9670}, {5267, 31420}, {5281, 9657}, {5657, 61248}, {5731, 61288}, {5734, 31730}, {5882, 50812}, {5921, 48892}, {5984, 38736}, {6409, 31414}, {6429, 7585}, {6430, 7586}, {6431, 43512}, {6432, 43511}, {6433, 42259}, {6434, 42258}, {6437, 6460}, {6438, 6459}, {6480, 51910}, {6481, 51911}, {6496, 23269}, {6497, 23275}, {6776, 55603}, {6781, 31450}, {7751, 53141}, {7782, 32841}, {7802, 32895}, {8142, 26824}, {8550, 50968}, {8589, 31417}, {9541, 35770}, {9542, 31487}, {9588, 38155}, {9607, 44541}, {9681, 35771}, {9693, 42522}, {9706, 37480}, {10519, 55636}, {11004, 46945}, {11160, 50971}, {11180, 55637}, {11278, 61282}, {11362, 20052}, {12571, 58217}, {12702, 61290}, {14683, 37853}, {14853, 55688}, {14907, 32840}, {15066, 16936}, {15072, 15606}, {15602, 31400}, {16192, 46933}, {16200, 20070}, {16772, 43465}, {16773, 43466}, {17128, 55729}, {18581, 43295}, {18582, 43294}, {20049, 50808}, {20057, 58241}, {20080, 44882}, {20094, 38747}, {20095, 38759}, {20096, 38771}, {20099, 38803}, {21766, 61150}, {22236, 43304}, {22238, 43305}, {25406, 55582}, {28164, 46932}, {31145, 50815}, {31407, 37512}, {31425, 59387}, {31670, 55683}, {32785, 43560}, {32786, 43561}, {33748, 48874}, {33750, 48885}, {33751, 39561}, {33884, 46850}, {34754, 42433}, {34755, 42434}, {35240, 41467}, {35369, 38738}, {35812, 43407}, {35813, 43408}, {37689, 44519}, {40107, 55640}, {40693, 42891}, {40694, 42890}, {40897, 47381}, {41112, 43310}, {41113, 43311}, {41949, 42263}, {41950, 42264}, {42140, 42491}, {42141, 42490}, {42153, 43870}, {42156, 43869}, {42157, 42996}, {42158, 42997}, {42164, 43557}, {42165, 43556}, {42500, 43477}, {42501, 43478}, {42528, 42999}, {42529, 42998}, {42775, 43552}, {42776, 43553}, {42793, 49861}, {42794, 49862}, {42795, 43485}, {42796, 43486}, {42797, 42964}, {42798, 42965}, {42990, 43232}, {42991, 43233}, {43174, 50871}, {43238, 43540}, {43239, 43541}, {43242, 52079}, {43243, 52080}, {43372, 43403}, {43373, 43404}, {46264, 55627}, {48873, 55695}, {48880, 55680}, {48881, 55711}, {48898, 55645}, {50969, 52987}, {50974, 55602}, {51027, 51134}, {51170, 55722}, {51212, 55699}, {51537, 55656}

X(62102) = midpoint of X(i) and X(j) for these {i,j}: {20, 7486}
X(62102) = reflection of X(i) in X(j) for these {i,j}: {3533, 3}
X(62102) = anticomplement of X(3854)
X(62102) = pole of line {185, 15708} with respect to the Jerabek hyperbola
X(62102) = pole of line {69, 50692} with respect to the Wallace hyperbola
X(62102) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(33699)}}, {{A, B, C, X(69), X(50692)}}, {{A, B, C, X(1105), X(15708)}}, {{A, B, C, X(1294), X(3533)}}, {{A, B, C, X(3346), X(3851)}}, {{A, B, C, X(3856), X(4846)}}, {{A, B, C, X(5072), X(46455)}}, {{A, B, C, X(15749), X(50687)}}, {{A, B, C, X(18850), X(44245)}}, {{A, B, C, X(19711), X(60007)}}
X(62102) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 16418, 4201}, {3, 11001, 5056}, {3, 15723, 15712}, {3, 1657, 547}, {3, 20, 3832}, {3, 30, 3533}, {3, 3545, 3523}, {3, 3850, 15719}, {3, 4, 15708}, {3, 550, 11001}, {4, 15699, 3091}, {20, 10304, 631}, {20, 15717, 17578}, {20, 3523, 382}, {20, 382, 15683}, {20, 3832, 5059}, {20, 548, 3522}, {20, 631, 3146}, {20, 7486, 30}, {376, 15688, 15697}, {376, 3528, 15696}, {550, 8703, 3628}, {631, 5067, 11539}, {3146, 3522, 10304}, {3146, 3832, 3853}, {3522, 15717, 3528}, {3528, 15696, 20}, {3529, 15692, 5068}, {3533, 7486, 13742}, {3853, 12100, 16239}, {3855, 10303, 13735}, {4197, 17533, 4193}, {5056, 10304, 3}, {6998, 15709, 140}, {10299, 15704, 3839}, {10304, 17800, 15717}, {11001, 11539, 3543}, {11001, 15715, 3545}, {14093, 15704, 10299}, {14869, 15685, 4}, {15688, 15694, 8703}, {15691, 15710, 15640}, {15696, 17800, 550}, {15697, 15708, 15686}, {15699, 15714, 12100}, {15717, 17578, 2}

X(62103) = X(2)X(3)∩X(542)X(55624)

X(62103) lies on these lines: {2, 3}, {542, 55624}, {3098, 50976}, {3579, 50820}, {3653, 59420}, {3655, 50816}, {5343, 43003}, {5344, 43002}, {5418, 43380}, {5420, 43381}, {5585, 39563}, {6407, 51910}, {6408, 51911}, {6417, 43339}, {6418, 43338}, {6500, 41946}, {6501, 41945}, {10645, 42689}, {10646, 42688}, {10653, 42684}, {10654, 42685}, {11179, 50972}, {11480, 42892}, {11481, 42893}, {11485, 42800}, {11486, 42799}, {11645, 55643}, {11693, 20127}, {12702, 50812}, {12816, 42773}, {12817, 42774}, {13623, 44731}, {13665, 43314}, {13785, 43315}, {15533, 55620}, {16267, 43330}, {16268, 43331}, {16644, 42930}, {16645, 42931}, {16962, 42795}, {16963, 42796}, {17851, 42215}, {18481, 50827}, {18526, 50819}, {19106, 43298}, {19107, 43299}, {19924, 55697}, {21309, 44541}, {22052, 61306}, {28178, 58226}, {28198, 58230}, {31730, 51085}, {33544, 44786}, {33751, 53091}, {33878, 50968}, {34632, 58247}, {34718, 50815}, {34748, 50808}, {34773, 50813}, {35822, 43384}, {35823, 43385}, {36967, 43303}, {36968, 43302}, {37496, 46945}, {39899, 50975}, {41943, 42965}, {41944, 42964}, {42099, 43545}, {42100, 43544}, {42115, 43301}, {42116, 43300}, {42119, 56616}, {42120, 56617}, {42130, 42686}, {42131, 42687}, {42260, 43525}, {42261, 43526}, {42625, 43021}, {42626, 43020}, {42690, 42972}, {42691, 42973}, {42786, 51167}, {42954, 43325}, {42955, 43324}, {43150, 55639}, {43273, 55604}, {43342, 52045}, {43343, 52046}, {43879, 60313}, {43880, 60314}, {46264, 50982}, {47353, 55648}, {48881, 51138}, {48885, 55692}, {48892, 50955}, {48906, 50969}, {50963, 55676}, {50966, 51182}, {50993, 55644}, {51024, 55678}, {51174, 55594}, {51187, 55597}

X(62103) = midpoint of X(i) and X(j) for these {i,j}: {3534, 15706}
X(62103) = reflection of X(i) in X(j) for these {i,j}: {15706, 10304}, {15710, 8703}, {381, 15708}, {5054, 15710}, {5055, 15706}
X(62103) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5071), X(13623)}}, {{A, B, C, X(13596), X(44731)}}, {{A, B, C, X(34483), X(49138)}}, {{A, B, C, X(44245), X(57822)}}, {{A, B, C, X(45759), X(46168)}}
X(62103) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15685, 15703}, {3, 15702, 6825}, {3, 16239, 6850}, {3, 3534, 15684}, {3, 381, 15722}, {3, 5056, 6948}, {3, 6958, 3543}, {4, 15692, 11540}, {4, 15717, 632}, {4, 3534, 15681}, {30, 10304, 15706}, {30, 15706, 5055}, {30, 8703, 15710}, {376, 15688, 15689}, {376, 3522, 15690}, {376, 8703, 15696}, {381, 3534, 15704}, {547, 3530, 15713}, {548, 15704, 3522}, {549, 15640, 5072}, {549, 3534, 17800}, {549, 3856, 2}, {550, 12108, 20}, {550, 8703, 547}, {3146, 15711, 15723}, {3522, 15713, 14093}, {3524, 10304, 15759}, {3526, 15683, 3830}, {3526, 3534, 15683}, {3528, 15686, 15693}, {3530, 15704, 4}, {3534, 15688, 10304}, {3534, 15706, 30}, {3545, 15717, 14890}, {3830, 15714, 6842}, {5054, 15688, 8703}, {5055, 15684, 14269}, {5055, 15707, 15709}, {5079, 15719, 15694}, {7486, 15698, 549}, {8703, 12103, 15692}, {10304, 15683, 3524}, {11001, 15700, 3843}, {12812, 15690, 15691}, {15682, 15714, 15720}, {15683, 15759, 3526}, {15686, 15693, 5073}, {15688, 15689, 3}, {15688, 15696, 5054}, {15689, 15695, 15688}, {15690, 15698, 3534}, {15698, 15704, 381}, {15706, 15709, 15707}, {15713, 15759, 15698}, {42799, 43420, 11486}, {42800, 43421, 11485}

X(62104) = X(2)X(3)∩X(15)X(42966)

X(62104) lies on these lines: {2, 3}, {15, 42966}, {16, 42967}, {141, 55647}, {165, 37705}, {511, 32523}, {516, 31666}, {524, 55600}, {542, 51134}, {575, 33751}, {576, 48874}, {1353, 53097}, {1385, 28232}, {1483, 7991}, {1503, 55637}, {2777, 22251}, {3304, 10386}, {3564, 55614}, {3579, 28236}, {3589, 55675}, {3630, 55615}, {3631, 55633}, {3817, 58219}, {3984, 9945}, {4301, 58232}, {5237, 42117}, {5238, 42118}, {5351, 16961}, {5352, 16960}, {5368, 15048}, {5480, 55679}, {5493, 50824}, {5609, 14677}, {5921, 55632}, {5965, 44882}, {6247, 32903}, {6411, 43434}, {6412, 43435}, {6425, 19117}, {6426, 19116}, {6428, 9541}, {6445, 43883}, {6446, 43884}, {6447, 6460}, {6448, 6459}, {6451, 13925}, {6452, 13993}, {6453, 42216}, {6454, 42215}, {6776, 55602}, {6781, 31406}, {7843, 12040}, {7982, 61283}, {7987, 28178}, {8550, 55588}, {9588, 38081}, {9730, 16982}, {10222, 28228}, {10263, 15012}, {10283, 30389}, {10541, 48873}, {10625, 45956}, {10627, 14855}, {10645, 43004}, {10646, 43005}, {10990, 38632}, {10991, 38628}, {10992, 38627}, {10993, 38631}, {11480, 43631}, {11481, 43630}, {11592, 15030}, {12162, 54044}, {12244, 15039}, {12511, 38602}, {12512, 28234}, {12699, 61273}, {13348, 13491}, {13624, 59420}, {13630, 36987}, {14094, 38788}, {14641, 15067}, {14643, 15023}, {14927, 55643}, {15020, 20127}, {15021, 32423}, {15044, 40685}, {15054, 38723}, {15178, 31730}, {16192, 18357}, {16267, 42794}, {16268, 42793}, {16881, 20791}, {16964, 42778}, {16965, 42777}, {18358, 55651}, {18439, 44324}, {18481, 61245}, {18583, 55684}, {18907, 53096}, {19924, 55698}, {20190, 21850}, {21167, 48891}, {22052, 61314}, {22236, 42123}, {22238, 42122}, {22330, 51737}, {22676, 32516}, {23235, 38742}, {25406, 55580}, {28186, 35242}, {28204, 51079}, {29012, 55650}, {29181, 55687}, {29317, 55677}, {30714, 38626}, {31399, 50825}, {31423, 61260}, {31425, 50826}, {31487, 43256}, {31663, 38112}, {32141, 44846}, {33521, 38630}, {33542, 43807}, {33750, 51732}, {34153, 37853}, {34380, 55595}, {34573, 55660}, {34584, 38795}, {34628, 61249}, {35812, 43209}, {35813, 43210}, {36836, 42091}, {36843, 42090}, {37471, 43576}, {37498, 46945}, {38110, 48880}, {38136, 55674}, {38664, 38731}, {38665, 38754}, {38666, 38766}, {38667, 38778}, {38675, 38798}, {38736, 51524}, {38747, 51523}, {38759, 51529}, {38771, 51528}, {38783, 51534}, {39874, 55624}, {39884, 55649}, {40693, 43428}, {40694, 43429}, {42099, 42599}, {42100, 42598}, {42101, 43241}, {42102, 43240}, {42103, 42493}, {42106, 42492}, {42108, 42580}, {42109, 42581}, {42112, 43102}, {42113, 43103}, {42115, 42923}, {42116, 42922}, {42121, 42164}, {42124, 42165}, {42136, 43647}, {42137, 43648}, {42144, 42163}, {42145, 42166}, {42147, 42528}, {42148, 42529}, {42160, 42585}, {42161, 42584}, {42225, 53516}, {42226, 53513}, {42266, 43880}, {42267, 43879}, {42431, 43027}, {42432, 43026}, {42502, 43424}, {42503, 43425}, {42612, 42684}, {42613, 42685}, {42625, 42924}, {42626, 42925}, {42795, 42891}, {42796, 42890}, {42912, 43193}, {42913, 43194}, {42936, 43401}, {42937, 43402}, {42938, 43245}, {42939, 43244}, {42946, 44016}, {42947, 44015}, {42998, 43635}, {42999, 43634}, {43197, 43465}, {43198, 43466}, {43364, 43649}, {43365, 43644}, {43621, 55671}, {46264, 55626}, {46850, 54042}, {48876, 48892}, {48898, 55644}, {48906, 52987}, {48942, 51128}, {50811, 61297}, {50813, 50831}, {50820, 50823}, {50832, 58229}, {50865, 58225}, {50965, 55597}, {50969, 50986}, {50971, 55611}, {50972, 55583}, {50976, 50978}, {50979, 55718}, {51126, 55666}, {51163, 55670}, {51177, 51183}, {55639, 61545}, {55641, 59411}, {58221, 61272}, {58245, 61286}, {61251, 61524}

X(62104) = midpoint of X(i) and X(j) for these {i,j}: {3, 17538}, {20, 1656}, {376, 15695}, {1657, 17578}, {3522, 15696}, {3534, 15692}, {14093, 15697}, {15686, 15713}
X(62104) = reflection of X(i) in X(j) for these {i,j}: {15711, 14093}, {15713, 15714}, {15714, 8703}, {3522, 548}, {3627, 3091}, {3843, 140}, {3845, 15694}, {3858, 631}, {5, 15712}, {550, 15696}, {5071, 12100}, {5076, 12812}, {51126, 55666}, {632, 3}
X(62104) = complement of X(62023)
X(62104) = anticomplement of X(3859)
X(62104) = pole of line {185, 12108} with respect to the Jerabek hyperbola
X(62104) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(50690)}}, {{A, B, C, X(632), X(1294)}}, {{A, B, C, X(1105), X(12108)}}, {{A, B, C, X(12101), X(17505)}}, {{A, B, C, X(13623), X(44904)}}, {{A, B, C, X(15319), X(41987)}}, {{A, B, C, X(15690), X(43970)}}
X(62104) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 10303, 12100}, {3, 15681, 5072}, {3, 15696, 17538}, {3, 1657, 3090}, {3, 16661, 7555}, {3, 20, 546}, {3, 30, 632}, {3, 3146, 140}, {3, 3529, 3628}, {3, 3534, 3146}, {3, 3627, 14869}, {3, 4, 12108}, {3, 5072, 3523}, {3, 5076, 631}, {3, 550, 15704}, {3, 632, 15712}, {5, 15703, 6929}, {5, 550, 15686}, {20, 10299, 3830}, {20, 15690, 550}, {20, 15705, 4}, {30, 12100, 5071}, {30, 12812, 5076}, {30, 140, 3843}, {30, 14093, 15711}, {30, 15714, 15713}, {30, 631, 3858}, {30, 8703, 15714}, {140, 15687, 5}, {140, 3146, 3857}, {140, 3860, 7486}, {376, 15688, 15690}, {376, 3090, 16434}, {376, 3522, 15696}, {382, 10303, 12811}, {546, 12811, 3854}, {546, 16239, 15022}, {548, 550, 8703}, {549, 10109, 11539}, {549, 550, 20}, {550, 3627, 12103}, {631, 3522, 14093}, {1656, 3843, 3545}, {1657, 10304, 3530}, {1657, 15694, 17578}, {3090, 10304, 3}, {3146, 16418, 3832}, {3146, 3857, 15687}, {3522, 15692, 3528}, {3522, 15695, 548}, {3522, 17578, 10304}, {3523, 15681, 3853}, {3523, 17530, 15702}, {3524, 17800, 3850}, {3530, 15691, 1657}, {3545, 15703, 10109}, {3627, 15720, 6973}, {3628, 12103, 3529}, {3830, 10299, 16239}, {3843, 5079, 3091}, {5054, 5059, 3861}, {5072, 15681, 11541}, {5073, 15717, 547}, {6451, 43407, 13925}, {6452, 43408, 13993}, {10109, 15705, 549}, {10304, 15691, 3845}, {10627, 14855, 45957}, {12100, 12811, 10303}, {12101, 15759, 6863}, {14093, 15697, 30}, {14093, 17538, 12812}, {14869, 15687, 5079}, {14869, 15704, 3627}, {15681, 15759, 15699}, {15685, 15710, 10124}, {15688, 15689, 15705}, {15688, 15696, 1656}, {15689, 15703, 3534}, {15695, 15696, 3522}, {15713, 15714, 17504}

X(62105) = X(2)X(3)∩X(13)X(42798)

X(62105) lies on these lines: {2, 3}, {13, 42798}, {14, 42797}, {61, 41972}, {62, 41971}, {1350, 43807}, {3060, 55286}, {3411, 42115}, {3412, 42116}, {3579, 51515}, {3626, 61247}, {3629, 55584}, {3631, 55632}, {3636, 58230}, {3767, 15603}, {4299, 31480}, {4301, 61279}, {4338, 37606}, {5050, 33751}, {5237, 43486}, {5238, 43485}, {5351, 43419}, {5352, 43418}, {5493, 61282}, {5882, 50816}, {5886, 58224}, {6221, 51910}, {6329, 48873}, {6398, 51911}, {6417, 9681}, {6445, 31487}, {6446, 42258}, {6449, 43318}, {6450, 43319}, {6451, 35812}, {6452, 35813}, {6472, 7585}, {6473, 7586}, {6496, 42267}, {6497, 42266}, {6501, 9541}, {7737, 31470}, {7749, 11742}, {8148, 61284}, {8550, 50972}, {8567, 32903}, {8976, 41954}, {9607, 21309}, {9656, 59325}, {9671, 59319}, {9691, 42216}, {9693, 19117}, {9778, 61286}, {11455, 11592}, {11480, 42939}, {11481, 42938}, {11485, 42433}, {11486, 42434}, {12017, 48885}, {12121, 38633}, {12279, 54044}, {12308, 38788}, {12512, 37727}, {12702, 61291}, {12820, 42581}, {12821, 42580}, {13491, 54047}, {13624, 61274}, {13951, 41953}, {14855, 15606}, {15042, 34584}, {15066, 52100}, {15068, 52099}, {15069, 48892}, {15533, 55617}, {15655, 44519}, {16644, 43546}, {16645, 43547}, {16772, 42131}, {16773, 42130}, {17851, 42644}, {19106, 42546}, {19107, 42545}, {20054, 61297}, {20070, 58238}, {20127, 38638}, {21358, 55652}, {23236, 37853}, {24981, 38723}, {28160, 31425}, {30435, 44541}, {31730, 37624}, {32787, 43523}, {32788, 43524}, {33556, 35268}, {33749, 55724}, {34641, 51079}, {35021, 38634}, {35022, 38635}, {35023, 38636}, {35024, 38765}, {35240, 55157}, {35242, 61254}, {36836, 42779}, {36843, 42780}, {36969, 42947}, {36970, 42946}, {37832, 43230}, {37835, 43231}, {38066, 61252}, {38072, 55675}, {40107, 48662}, {40341, 55610}, {40693, 43106}, {40694, 43105}, {41112, 42794}, {41113, 42793}, {41969, 42261}, {41970, 42260}, {42099, 42491}, {42100, 42490}, {42415, 52080}, {42416, 52079}, {42528, 42991}, {42529, 42990}, {43174, 51081}, {43273, 55602}, {44882, 55604}, {46264, 55624}, {47353, 55647}, {48661, 59420}, {48872, 55678}, {48879, 55671}, {48880, 55682}, {48881, 53091}, {48891, 55654}, {48896, 55656}, {48898, 55643}, {48905, 55648}, {48920, 55673}, {50955, 55631}, {50968, 52987}, {50976, 55614}, {51024, 55679}, {51095, 58249}

X(62105) = midpoint of X(i) and X(j) for these {i,j}: {20, 5067}
X(62105) = reflection of X(i) in X(j) for these {i,j}: {5079, 10299}
X(62105) = pole of line {185, 15701} with respect to the Jerabek hyperbola
X(62105) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1105), X(15701)}}, {{A, B, C, X(1294), X(46219)}}, {{A, B, C, X(3858), X(15318)}}, {{A, B, C, X(15718), X(60007)}}, {{A, B, C, X(18850), X(58195)}}
X(62105) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14269, 15720}, {3, 15681, 3851}, {3, 15684, 140}, {3, 1657, 5055}, {3, 17800, 5070}, {3, 20, 3843}, {3, 3534, 5073}, {3, 4, 15701}, {3, 5073, 15694}, {3, 550, 15681}, {5, 12101, 3832}, {5, 548, 3522}, {20, 3528, 3530}, {20, 3843, 17800}, {20, 5067, 30}, {30, 10299, 5079}, {376, 15695, 15689}, {376, 548, 15696}, {382, 15688, 3528}, {382, 15696, 550}, {382, 15720, 5}, {382, 3526, 3855}, {550, 15687, 12103}, {550, 3530, 20}, {632, 3845, 6939}, {1656, 10304, 3}, {1656, 12103, 15685}, {1657, 15700, 546}, {2041, 2042, 3858}, {3522, 17538, 15711}, {3524, 17538, 13635}, {3529, 15710, 3533}, {3529, 15720, 14269}, {3530, 3855, 3526}, {3534, 15720, 3529}, {3534, 8703, 15722}, {3543, 10303, 5068}, {5055, 15701, 10124}, {5059, 12100, 5072}, {5059, 6838, 17538}, {6496, 42267, 45384}, {6497, 42266, 45385}, {6861, 15693, 15713}, {10304, 12103, 1656}, {10304, 15685, 15718}, {12101, 15697, 3534}, {15681, 15695, 15688}, {15681, 15707, 3830}, {15681, 15718, 15687}, {15688, 15689, 15707}, {15688, 15696, 382}, {15688, 15700, 8703}, {55639, 59411, 48662}

X(62106) = X(2)X(3)∩X(40)X(61297)

X(62106) lies on these lines: {2, 3}, {40, 61297}, {141, 55645}, {165, 61249}, {575, 51166}, {1353, 55582}, {1503, 55633}, {3411, 42117}, {3412, 42118}, {3564, 55607}, {3579, 61245}, {4297, 61295}, {5008, 9607}, {5097, 48881}, {5237, 43245}, {5238, 43244}, {5480, 55680}, {5882, 51079}, {6431, 9681}, {6433, 7583}, {6434, 7584}, {6437, 19117}, {6438, 19116}, {6455, 31414}, {6480, 42259}, {6481, 42258}, {6482, 32787}, {6483, 32788}, {6486, 31454}, {6519, 43256}, {6522, 43257}, {6781, 9606}, {7991, 61290}, {8550, 51134}, {9588, 28186}, {9589, 10283}, {9624, 28178}, {9692, 18512}, {9698, 15602}, {10645, 43013}, {10646, 43012}, {11278, 61283}, {11485, 43635}, {11486, 43634}, {11531, 61286}, {12279, 44324}, {12702, 61293}, {13491, 15606}, {13624, 61273}, {13903, 43889}, {13961, 43890}, {14531, 45956}, {15068, 16936}, {15069, 55622}, {15178, 51120}, {15338, 37587}, {15888, 51817}, {16192, 28190}, {18357, 31425}, {21850, 33751}, {22165, 55623}, {22791, 31662}, {23302, 42907}, {23303, 42906}, {28204, 51083}, {29181, 55691}, {30392, 61278}, {31663, 38155}, {31730, 33179}, {31834, 52093}, {32903, 52102}, {34628, 61248}, {34754, 42148}, {34755, 42147}, {35242, 38138}, {35812, 42226}, {35813, 42225}, {36967, 43023}, {36968, 43022}, {37517, 48874}, {38079, 55679}, {38110, 55683}, {38136, 48920}, {40107, 55636}, {40693, 43631}, {40694, 43630}, {41973, 42792}, {41974, 42791}, {42121, 43632}, {42124, 43633}, {42130, 42917}, {42131, 42916}, {42136, 42491}, {42137, 42490}, {42149, 51944}, {42152, 51945}, {42153, 42585}, {42156, 42584}, {42431, 43199}, {42432, 43200}, {42496, 43769}, {42497, 43770}, {42545, 43636}, {42546, 43637}, {42625, 42925}, {42626, 42924}, {42633, 42990}, {42634, 42991}, {42904, 42956}, {42905, 42957}, {42942, 43640}, {42943, 43639}, {42948, 51916}, {42949, 51915}, {43560, 43881}, {43561, 43882}, {44882, 55594}, {45186, 55286}, {46264, 55618}, {47354, 55650}, {48873, 55703}, {48876, 55627}, {48880, 55685}, {48885, 50664}, {48892, 55612}, {48898, 55640}, {48906, 55587}, {50969, 55602}, {50971, 52987}, {50978, 55614}, {55699, 59399}, {58215, 61265}, {58231, 61277}, {58248, 61287}

X(62106) = midpoint of X(i) and X(j) for these {i,j}: {20, 3526}
X(62106) = reflection of X(i) in X(j) for these {i,j}: {3528, 548}, {3627, 3851}, {3845, 15702}, {3857, 3523}
X(62106) = complement of X(62024)
X(62106) = pole of line {185, 11812} with respect to the Jerabek hyperbola
X(62106) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1105), X(11812)}}, {{A, B, C, X(1294), X(55856)}}, {{A, B, C, X(43917), X(45002)}}, {{A, B, C, X(58193), X(60618)}}
X(62106) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 11001, 3850}, {3, 11539, 15712}, {3, 13564, 13620}, {3, 1657, 3545}, {3, 20, 3853}, {3, 3534, 5059}, {3, 4, 11812}, {3, 5059, 547}, {3, 5067, 3530}, {3, 5073, 15723}, {3, 550, 15686}, {5, 17504, 631}, {5, 3839, 6970}, {20, 3526, 30}, {20, 3528, 3526}, {20, 3855, 17800}, {30, 15702, 3845}, {30, 3523, 3857}, {30, 548, 3528}, {376, 15696, 548}, {382, 15696, 15689}, {382, 549, 5}, {547, 3853, 3856}, {550, 3627, 3534}, {550, 8703, 15704}, {1657, 14890, 3627}, {1657, 15717, 3861}, {3090, 3839, 3851}, {3522, 11001, 3}, {3522, 15689, 12103}, {3525, 6906, 3090}, {3529, 12100, 3858}, {3530, 3853, 5067}, {3534, 15688, 15718}, {3850, 12103, 11001}, {3851, 17504, 14869}, {3853, 6948, 15699}, {3855, 17538, 20}, {3861, 15717, 632}, {5073, 5187, 5066}, {8703, 15686, 11539}, {10303, 11108, 3525}, {12101, 15710, 549}, {12103, 15689, 550}, {15022, 15718, 140}, {15683, 15720, 12102}, {15686, 15714, 3543}, {15688, 15714, 8703}, {15704, 15712, 15687}

X(62107) = X(2)X(3)∩X(17)X(42691)

X(62107) lies on these lines: {2, 3}, {17, 42691}, {18, 42690}, {397, 42684}, {398, 42685}, {542, 55620}, {590, 43432}, {615, 43433}, {1384, 5368}, {1503, 55632}, {1587, 9690}, {1588, 43415}, {3070, 43336}, {3071, 43337}, {3311, 43339}, {3312, 43338}, {3519, 44763}, {3567, 55286}, {5050, 48885}, {5093, 48881}, {5339, 42688}, {5340, 42689}, {5343, 42585}, {5344, 42584}, {5351, 51944}, {5352, 51945}, {5493, 8148}, {5925, 14862}, {6199, 42261}, {6241, 54047}, {6395, 42260}, {6407, 42259}, {6408, 42258}, {6449, 35815}, {6450, 35814}, {6451, 42267}, {6452, 42266}, {6455, 8960}, {6456, 58866}, {6474, 7585}, {6475, 7586}, {6496, 42264}, {6497, 42263}, {6500, 9541}, {7666, 9707}, {7746, 11742}, {7755, 44519}, {7756, 15655}, {7967, 58247}, {7991, 50820}, {8550, 55584}, {8567, 14864}, {8976, 43791}, {9605, 44541}, {9680, 43209}, {9691, 56619}, {9704, 37480}, {10194, 42271}, {10195, 42272}, {10247, 31730}, {10574, 13421}, {10576, 43378}, {10577, 43379}, {10606, 32903}, {10619, 54202}, {10721, 15042}, {10990, 12308}, {10991, 38731}, {10992, 38742}, {10993, 38754}, {11362, 50816}, {11439, 11592}, {11456, 52099}, {11480, 42992}, {11481, 42993}, {11623, 38634}, {11645, 55641}, {12007, 44456}, {12017, 33751}, {12290, 54044}, {13093, 45185}, {13382, 37484}, {13464, 58230}, {13623, 43908}, {13951, 43792}, {14692, 38749}, {15533, 55611}, {16534, 38638}, {18481, 51515}, {18483, 58220}, {18553, 55646}, {19106, 42773}, {19107, 42774}, {19116, 43798}, {19117, 43797}, {19924, 55701}, {20417, 38633}, {20418, 38637}, {21358, 55650}, {22236, 42935}, {22238, 42934}, {25555, 48872}, {29012, 55648}, {29181, 55692}, {29317, 55678}, {29323, 55656}, {30315, 33697}, {30714, 38788}, {31884, 43150}, {33520, 38766}, {34483, 43719}, {34507, 55629}, {34513, 57713}, {34638, 61276}, {35257, 51933}, {36836, 41974}, {36843, 41973}, {36969, 42959}, {36970, 42958}, {37727, 50815}, {38072, 55677}, {38736, 52090}, {41943, 43424}, {41944, 43425}, {41963, 43430}, {41964, 43431}, {42085, 42686}, {42086, 42687}, {42087, 42989}, {42088, 42988}, {42093, 42954}, {42094, 42955}, {42099, 43239}, {42100, 43238}, {42104, 42948}, {42105, 42949}, {42115, 42157}, {42116, 42158}, {42126, 42944}, {42127, 42945}, {42130, 42149}, {42131, 42152}, {42153, 43032}, {42154, 42796}, {42155, 42795}, {42156, 43033}, {42270, 43514}, {42273, 43513}, {42275, 43882}, {42276, 43881}, {42433, 42626}, {42434, 42625}, {42490, 43544}, {42491, 43545}, {42528, 43194}, {42529, 43193}, {42775, 42950}, {42776, 42951}, {42779, 43300}, {42780, 43301}, {42815, 43769}, {42816, 43770}, {42904, 43295}, {42905, 43294}, {43210, 43343}, {43250, 43775}, {43251, 43776}, {43273, 55595}, {43409, 43568}, {43410, 43569}, {44882, 55593}, {46264, 55616}, {47353, 55644}, {48873, 55705}, {48879, 55673}, {48891, 55651}, {48892, 55610}, {48896, 55654}, {48898, 55639}, {48905, 55643}, {48920, 55676}, {50813, 50830}, {50827, 51083}, {50955, 55626}, {50968, 55606}, {50969, 50985}, {50976, 51140}, {51024, 55681}, {51177, 51182}, {52093, 54042}

X(62107) = midpoint of X(i) and X(j) for these {i,j}: {20, 3525}
X(62107) = reflection of X(i) in X(j) for these {i,j}: {15715, 8703}, {381, 15719}, {5070, 3}, {5072, 15717}
X(62107) = anticomplement of X(41991)
X(62107) = pole of line {185, 61832} with respect to the Jerabek hyperbola
X(62107) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(5070)}}, {{A, B, C, X(3090), X(13623)}}, {{A, B, C, X(3518), X(44763)}}, {{A, B, C, X(3519), X(33703)}}, {{A, B, C, X(3529), X(34483)}}, {{A, B, C, X(3532), X(47485)}}, {{A, B, C, X(3545), X(14861)}}, {{A, B, C, X(11001), X(42021)}}, {{A, B, C, X(13596), X(43908)}}, {{A, B, C, X(15707), X(40448)}}, {{A, B, C, X(34484), X(43719)}}, {{A, B, C, X(43713), X(44879)}}, {{A, B, C, X(43917), X(45001)}}
X(62107) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14269, 631}, {3, 15681, 3843}, {3, 15685, 5}, {3, 15696, 15689}, {3, 15703, 3530}, {3, 1657, 3851}, {3, 17800, 5055}, {3, 20, 3830}, {3, 30, 5070}, {3, 382, 15694}, {3, 3843, 15701}, {4, 7486, 3850}, {20, 10304, 15022}, {20, 3522, 10299}, {20, 3525, 30}, {20, 3528, 16239}, {30, 15717, 5072}, {30, 15719, 381}, {30, 8703, 15715}, {140, 3854, 1656}, {376, 15689, 15695}, {376, 15690, 15688}, {382, 15706, 3628}, {548, 15704, 10304}, {548, 17538, 15706}, {548, 3628, 8703}, {549, 15759, 15705}, {549, 16239, 10303}, {550, 3522, 1657}, {631, 15640, 3857}, {1656, 15716, 15720}, {1657, 3522, 3}, {1657, 3851, 5073}, {3146, 15709, 3856}, {3522, 17538, 3858}, {3523, 15683, 4}, {3525, 15717, 549}, {3526, 15704, 15684}, {3526, 3534, 15704}, {3528, 10303, 15759}, {3528, 15697, 12103}, {3528, 5059, 15712}, {3530, 11001, 5076}, {3530, 5076, 15703}, {3534, 15698, 15685}, {3534, 15706, 15683}, {3545, 17538, 20}, {3628, 15683, 382}, {3830, 15694, 3545}, {3851, 5070, 5056}, {3854, 10299, 140}, {10303, 15717, 15719}, {10304, 15704, 3526}, {12103, 15712, 5059}, {13742, 15721, 3525}, {14093, 15685, 15707}, {14782, 14783, 13735}, {15684, 15704, 17800}, {15689, 15695, 15681}, {15694, 15715, 15718}, {15697, 15759, 3534}, {15710, 17578, 12108}, {16394, 17578, 3854}

X(62108) = X(2)X(3)∩X(511)X(51134)

X(62108) lies on circumconic {{A, B, C, X(3858), X(18317)}} and on these lines: {2, 3}, {511, 51134}, {515, 50822}, {516, 50832}, {517, 51079}, {524, 55598}, {542, 55619}, {952, 50812}, {1353, 55581}, {1503, 51184}, {3564, 50968}, {3630, 48892}, {4669, 51083}, {5844, 50819}, {5965, 50965}, {8584, 48874}, {9541, 42574}, {10283, 59420}, {11480, 49811}, {11481, 49810}, {11542, 51945}, {11543, 51944}, {15534, 50976}, {16226, 55286}, {16241, 42683}, {16242, 42682}, {16960, 46334}, {16961, 46335}, {16966, 51915}, {16967, 51916}, {19106, 43246}, {19107, 43247}, {19116, 42417}, {19117, 42418}, {19924, 55702}, {22165, 55621}, {28146, 51109}, {28158, 51084}, {28186, 51066}, {28228, 50824}, {28232, 51103}, {28234, 50815}, {28236, 50816}, {29181, 50987}, {31663, 38081}, {32455, 55723}, {33602, 43869}, {33603, 43870}, {34380, 50975}, {41107, 43631}, {41108, 43630}, {41121, 42145}, {41122, 42144}, {41943, 43783}, {41944, 43784}, {42090, 42634}, {42091, 42633}, {42107, 54592}, {42110, 54591}, {42117, 42792}, {42118, 42791}, {42122, 42510}, {42123, 42511}, {42130, 49861}, {42131, 49862}, {42150, 42419}, {42151, 42420}, {42258, 42524}, {42259, 42525}, {42263, 42640}, {42264, 42639}, {42480, 42520}, {42481, 42521}, {42492, 43471}, {42493, 43472}, {42496, 42588}, {42497, 42589}, {42500, 43240}, {42501, 43241}, {42516, 49875}, {42517, 49876}, {42528, 42977}, {42529, 42976}, {42543, 43227}, {42544, 43226}, {42576, 42602}, {42577, 42603}, {42777, 42916}, {42778, 42917}, {42922, 49947}, {42923, 49948}, {42940, 43874}, {42941, 43873}, {44882, 55592}, {48881, 55715}, {48885, 55709}, {48898, 50991}, {48906, 55586}, {50820, 51093}, {50826, 51069}, {50833, 61270}, {50862, 61260}, {50969, 50992}, {50971, 50986}, {50972, 50978}, {50979, 55717}, {50981, 51143}, {50985, 55603}, {50990, 55629}, {51022, 55657}, {51068, 61251}, {51130, 55685}, {51135, 51182}, {51177, 55593}, {51181, 55707}, {51737, 55713}, {55700, 59399}

X(62108) = midpoint of X(i) and X(j) for these {i,j}: {20, 15694}, {376, 15696}, {3091, 15681}, {14093, 17538}, {15686, 15712}, {15695, 15697}
X(62108) = reflection of X(i) in X(j) for these {i,j}: {12812, 14891}, {14093, 548}, {15686, 17538}, {15687, 1656}, {15697, 15690}, {15711, 8703}, {15712, 14093}, {15714, 3522}, {3543, 3859}, {3845, 15713}, {3858, 549}, {5, 15692}, {5076, 547}, {632, 15714}, {8703, 15695}
X(62108) = complement of X(62025)
X(62108) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15684}, {2, 3830, 3850}, {5, 15723, 15699}, {30, 14093, 15712}, {30, 14891, 12812}, {30, 15713, 3845}, {30, 15714, 632}, {30, 3522, 15714}, {30, 3859, 3543}, {30, 547, 5076}, {30, 548, 14093}, {30, 549, 3858}, {376, 15689, 548}, {376, 15697, 15695}, {548, 550, 3627}, {550, 3845, 3534}, {632, 15711, 15693}, {3522, 17538, 3843}, {3528, 15640, 15716}, {3528, 3854, 3}, {3534, 11540, 15704}, {3534, 15688, 15701}, {3845, 15711, 15713}, {5079, 15719, 11540}, {6932, 15702, 15688}, {10304, 12103, 15687}, {10304, 15685, 11812}, {11001, 15688, 15759}, {11001, 15759, 5}, {11812, 12103, 15685}, {11812, 14892, 2}, {12101, 15698, 11539}, {14093, 15684, 15692}, {14093, 15689, 17538}, {14093, 15696, 15689}, {14093, 17538, 30}, {14892, 14893, 3856}, {15640, 15716, 547}, {15681, 15698, 12101}, {15684, 15691, 15686}, {15686, 15689, 550}, {15688, 15759, 8703}, {15691, 15759, 11001}, {15693, 15695, 3522}, {15693, 15714, 15711}, {15695, 15696, 15697}, {15696, 15697, 15690}, {15705, 17800, 11737}

X(62109) = X(2)X(3)∩X(17)X(42586)

X(62109) lies on these lines: {2, 3}, {17, 42586}, {18, 42587}, {511, 50976}, {515, 51083}, {517, 50820}, {542, 55616}, {590, 42608}, {599, 55632}, {615, 42609}, {952, 50813}, {1327, 42526}, {1328, 42527}, {1384, 39593}, {1587, 10145}, {1588, 10146}, {3241, 58247}, {3564, 50969}, {3624, 58220}, {3654, 50816}, {3655, 51095}, {3656, 59420}, {4297, 34748}, {4677, 50812}, {5418, 42606}, {5420, 42607}, {5585, 18362}, {6407, 42525}, {6408, 42524}, {6417, 51910}, {6418, 51911}, {6500, 41945}, {6501, 41946}, {6564, 42576}, {6565, 42577}, {8584, 51134}, {9690, 32787}, {9691, 42259}, {9778, 50805}, {11178, 55648}, {11480, 43418}, {11481, 43419}, {11485, 42632}, {11486, 42631}, {11645, 55639}, {11648, 15655}, {12355, 38634}, {12512, 34718}, {12702, 34747}, {12820, 42098}, {12821, 42095}, {13468, 53143}, {14810, 50993}, {15300, 38731}, {15533, 50968}, {15534, 55584}, {15603, 44526}, {16644, 42504}, {16645, 42505}, {17502, 50806}, {17508, 50963}, {17851, 43257}, {18481, 34641}, {18525, 38098}, {19924, 55705}, {20583, 48881}, {21358, 48891}, {25561, 55656}, {28168, 50800}, {28202, 51110}, {29012, 51186}, {29323, 50957}, {31487, 43523}, {31663, 51066}, {32788, 43415}, {33751, 54131}, {34380, 51177}, {35257, 55157}, {36521, 38741}, {36836, 43485}, {36843, 43486}, {36967, 42509}, {36968, 42508}, {36969, 43024}, {36970, 43025}, {38072, 48920}, {38736, 48657}, {40341, 48892}, {41100, 42626}, {41101, 42625}, {41107, 42116}, {41108, 42115}, {41112, 42131}, {41113, 42130}, {41869, 58224}, {42087, 42782}, {42088, 42781}, {42090, 43229}, {42091, 43228}, {42096, 49908}, {42097, 49907}, {42119, 43110}, {42120, 43111}, {42153, 42797}, {42154, 42507}, {42155, 42506}, {42156, 42798}, {42415, 42634}, {42416, 42633}, {42417, 53131}, {42418, 53130}, {42474, 42544}, {42475, 42543}, {42528, 49948}, {42529, 49947}, {42588, 42815}, {42589, 42816}, {42779, 42976}, {42780, 42977}, {42791, 42974}, {42792, 42975}, {43002, 43403}, {43003, 43404}, {43232, 43250}, {43233, 43251}, {43273, 55593}, {43475, 43643}, {43476, 43638}, {43487, 43869}, {43488, 43870}, {43881, 52667}, {43882, 52666}, {44786, 52099}, {47353, 55643}, {48662, 54169}, {48885, 53091}, {49905, 51945}, {49906, 51944}, {50824, 58238}, {50873, 61269}, {50955, 55624}, {50972, 54173}, {51024, 55682}, {51071, 51079}, {51081, 51705}, {51105, 58230}, {51174, 55591}, {51185, 55697}, {51187, 52987}, {51189, 55626}

X(62109) = midpoint of X(i) and X(j) for these {i,j}: {20, 15702}, {3851, 15681}
X(62109) = reflection of X(i) in X(j) for these {i,j}: {15698, 8703}, {15700, 3528}, {15703, 3}, {381, 3523}, {3543, 3857}, {3832, 549}, {3851, 15700}
X(62109) = anticomplement of X(61963)
X(62109) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(15703)}}, {{A, B, C, X(3534), X(57894)}}, {{A, B, C, X(3832), X(18317)}}
X(62109) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15682, 546}, {2, 15700, 15701}, {2, 15710, 12100}, {2, 3534, 15681}, {2, 3855, 10109}, {3, 15681, 14269}, {3, 30, 15703}, {3, 3534, 15685}, {20, 15702, 30}, {20, 15710, 15687}, {30, 3528, 15700}, {30, 3857, 3543}, {30, 549, 3832}, {30, 8703, 15698}, {376, 15697, 8703}, {376, 3534, 15695}, {376, 550, 15688}, {381, 5054, 5067}, {382, 15720, 3544}, {548, 550, 3529}, {1657, 10304, 15694}, {1657, 15716, 3845}, {3522, 15682, 15759}, {3523, 17578, 3090}, {3528, 3529, 3523}, {3534, 15690, 15689}, {3534, 15693, 11001}, {3534, 15696, 15690}, {3534, 15759, 17800}, {3543, 15706, 5070}, {3627, 15705, 15723}, {3845, 10304, 15716}, {8703, 11001, 15693}, {8703, 15690, 15697}, {10304, 15691, 1657}, {10304, 15694, 3}, {11001, 15693, 3830}, {11812, 15640, 381}, {12100, 15687, 2}, {12101, 15719, 1656}, {14093, 15720, 15710}, {14269, 15703, 3851}, {14869, 15700, 15707}, {15681, 15689, 550}, {15681, 15707, 382}, {15682, 15759, 5054}, {15683, 15719, 12101}, {15686, 15759, 15682}, {15687, 15710, 15720}, {15687, 15720, 5055}, {15687, 17504, 632}, {15688, 15700, 3528}, {15688, 15720, 14093}, {15689, 15695, 3534}, {15696, 17800, 6882}, {36968, 42532, 42508}

X(62110) = X(2)X(3)∩X(17)X(43869)

X(62110) lies on these lines: {2, 3}, {17, 43869}, {18, 43870}, {40, 20053}, {69, 55618}, {99, 32875}, {193, 55587}, {315, 32876}, {962, 30392}, {1352, 55640}, {1587, 6480}, {1588, 6481}, {1992, 50976}, {2794, 52886}, {3241, 50820}, {3424, 60640}, {3590, 23249}, {3591, 23259}, {3620, 48898}, {3622, 31662}, {3625, 12512}, {3630, 55607}, {3633, 4297}, {3635, 5493}, {3679, 51083}, {4114, 11036}, {4294, 37587}, {4299, 51817}, {4311, 7320}, {4316, 5261}, {4324, 5274}, {4668, 43174}, {4764, 30271}, {4857, 5265}, {5097, 33748}, {5102, 48881}, {5270, 5281}, {5339, 42793}, {5340, 42794}, {5343, 10646}, {5344, 10645}, {5365, 42099}, {5366, 42100}, {5656, 55156}, {5732, 60976}, {5734, 51081}, {5882, 9778}, {5921, 55622}, {5984, 38731}, {6144, 44882}, {6200, 43889}, {6361, 33179}, {6396, 43890}, {6411, 42414}, {6412, 42413}, {6429, 42259}, {6430, 42258}, {6437, 42522}, {6438, 42523}, {6451, 23269}, {6452, 23275}, {6453, 43256}, {6454, 43257}, {6484, 9542}, {6486, 6560}, {6487, 6561}, {6776, 55594}, {7756, 37689}, {7782, 32825}, {7898, 51579}, {7991, 50815}, {8550, 55582}, {8960, 43407}, {8972, 42267}, {8976, 43519}, {9540, 43376}, {9541, 35771}, {9543, 42216}, {10141, 32787}, {10142, 32788}, {10171, 58217}, {10187, 43365}, {10188, 43364}, {10194, 23263}, {10195, 23253}, {10519, 55633}, {10575, 33884}, {10653, 42435}, {10654, 42436}, {11148, 34504}, {11160, 50969}, {11180, 55631}, {11206, 15105}, {11278, 20070}, {11362, 50812}, {11441, 16936}, {11480, 43769}, {11481, 43770}, {11738, 26861}, {13348, 52093}, {13382, 36987}, {13935, 43377}, {13941, 42266}, {13951, 43520}, {14641, 54041}, {14683, 38788}, {14853, 33751}, {14907, 32824}, {14929, 32879}, {15051, 38792}, {15580, 61088}, {15589, 32878}, {16200, 31730}, {16772, 51945}, {16773, 51944}, {18553, 55645}, {18581, 42958}, {18582, 42959}, {19877, 28172}, {20094, 38742}, {20095, 38754}, {20096, 38766}, {20099, 38798}, {21356, 55641}, {22235, 42086}, {22237, 42085}, {23251, 43785}, {23261, 43786}, {25406, 32455}, {25555, 55683}, {28146, 46934}, {30389, 34638}, {31145, 50813}, {31414, 43209}, {31670, 55685}, {33416, 43472}, {33417, 43471}, {33750, 48880}, {34507, 55627}, {34754, 42091}, {34755, 42090}, {35770, 51911}, {37517, 61044}, {37714, 50868}, {37727, 50819}, {38808, 51348}, {39561, 48885}, {40330, 48891}, {40693, 43244}, {40694, 43245}, {41973, 42528}, {41974, 42529}, {42087, 42983}, {42088, 42982}, {42096, 42495}, {42097, 42494}, {42112, 42937}, {42113, 42936}, {42122, 43496}, {42123, 43495}, {42126, 43557}, {42127, 43556}, {42135, 43446}, {42138, 43447}, {42139, 42774}, {42140, 43239}, {42141, 43238}, {42142, 42773}, {42149, 43466}, {42150, 42995}, {42151, 42994}, {42152, 43465}, {42157, 42801}, {42158, 42802}, {42159, 43200}, {42162, 43199}, {42260, 43511}, {42261, 43512}, {42431, 42960}, {42432, 42961}, {42433, 42804}, {42434, 42803}, {42690, 43488}, {42691, 43487}, {43408, 58866}, {43537, 60209}, {44762, 54050}, {46264, 55612}, {48873, 50664}, {48874, 51170}, {48892, 55603}, {50816, 50871}, {50872, 51079}, {50968, 51215}, {50971, 51214}, {50972, 51027}, {50974, 55595}, {51028, 51134}, {51171, 55695}, {51212, 55703}, {51537, 55654}, {53099, 60146}, {53106, 53859}, {54857, 60285}, {59418, 61000}, {60329, 60647}

X(62110) = midpoint of X(i) and X(j) for these {i,j}: {20, 10303}
X(62110) = reflection of X(i) in X(j) for these {i,j}: {5067, 3}, {5068, 10299}
X(62110) = anticomplement of X(61964)
X(62110) = pole of line {185, 44299} with respect to the Jerabek hyperbola
X(62110) = pole of line {69, 49140} with respect to the Wallace hyperbola
X(62110) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5), X(51348)}}, {{A, B, C, X(69), X(49140)}}, {{A, B, C, X(253), X(3843)}}, {{A, B, C, X(1217), X(35018)}}, {{A, B, C, X(1294), X(5067)}}, {{A, B, C, X(3346), X(3855)}}, {{A, B, C, X(3519), X(49136)}}, {{A, B, C, X(3532), X(55578)}}, {{A, B, C, X(3534), X(26861)}}, {{A, B, C, X(3853), X(31361)}}, {{A, B, C, X(3857), X(4846)}}, {{A, B, C, X(5072), X(14861)}}, {{A, B, C, X(7714), X(54857)}}, {{A, B, C, X(8703), X(60618)}}, {{A, B, C, X(11738), X(26863)}}, {{A, B, C, X(14841), X(15684)}}, {{A, B, C, X(15022), X(15740)}}, {{A, B, C, X(15704), X(42021)}}, {{A, B, C, X(15719), X(40448)}}, {{A, B, C, X(15749), X(50688)}}, {{A, B, C, X(19709), X(31363)}}, {{A, B, C, X(34567), X(35502)}}, {{A, B, C, X(52283), X(60640)}}, {{A, B, C, X(52297), X(53859)}}
X(62110) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15684, 3839}, {2, 15717, 12108}, {2, 3146, 3843}, {2, 3850, 5056}, {3, 11001, 3832}, {3, 15696, 15690}, {3, 15702, 15717}, {3, 16239, 3524}, {3, 1657, 3850}, {3, 30, 5067}, {3, 382, 11539}, {3, 3832, 15708}, {3, 3853, 15702}, {3, 5, 15719}, {20, 10303, 30}, {20, 10304, 3091}, {20, 15692, 3146}, {20, 3528, 7486}, {20, 3839, 3529}, {20, 5056, 5059}, {30, 10299, 5068}, {140, 3857, 1656}, {140, 550, 3534}, {376, 17538, 548}, {376, 550, 3522}, {382, 15718, 12812}, {548, 12103, 14891}, {548, 12108, 8703}, {548, 15689, 17538}, {548, 3627, 14093}, {548, 3843, 3528}, {631, 12103, 15683}, {631, 5073, 3854}, {1656, 15707, 140}, {1656, 1657, 15684}, {1657, 15689, 550}, {1657, 15712, 4}, {1657, 5072, 5073}, {3146, 3528, 15692}, {3522, 3523, 10304}, {3522, 5059, 3}, {3524, 15704, 17578}, {3528, 3529, 15707}, {3529, 15702, 3853}, {3530, 15682, 15022}, {3534, 15688, 15703}, {3545, 5067, 5079}, {3843, 15703, 5072}, {3845, 15703, 3545}, {3850, 15686, 1657}, {5056, 15708, 3533}, {5068, 10299, 10303}, {5343, 10646, 43480}, {5344, 10645, 43479}, {10299, 10303, 3523}, {11001, 13168, 631}, {11001, 15708, 3543}, {11541, 15710, 3526}, {12103, 15683, 20}, {15686, 15690, 15689}, {15696, 16434, 2}, {42157, 42928, 42801}, {42158, 42929, 42802}

X(62111) = X(2)X(3)∩X(6)X(43639)

X(62111) lies on these lines: {2, 3}, {6, 43639}, {13, 42687}, {14, 42686}, {165, 61251}, {395, 42796}, {396, 42795}, {524, 55596}, {542, 55615}, {597, 33751}, {1503, 55630}, {3098, 50972}, {3579, 4746}, {3653, 28178}, {3654, 61245}, {3655, 50820}, {4816, 18481}, {5318, 43483}, {5321, 43484}, {6470, 42261}, {6471, 42260}, {7850, 59634}, {8717, 40111}, {8981, 43209}, {9955, 50833}, {10302, 54891}, {11179, 50976}, {11180, 51184}, {11224, 61283}, {11645, 55638}, {12007, 48874}, {13623, 57714}, {13966, 43210}, {15516, 48885}, {16772, 42965}, {16773, 42964}, {16962, 42088}, {16963, 42087}, {16964, 41977}, {16965, 41978}, {18357, 50826}, {18358, 50981}, {18510, 43788}, {18512, 43787}, {18526, 50809}, {18581, 43647}, {18582, 43648}, {19116, 53131}, {19117, 53130}, {19130, 50988}, {19875, 28190}, {19883, 28154}, {19924, 55706}, {20582, 48896}, {21850, 55696}, {22236, 43109}, {22238, 43108}, {22791, 34638}, {23269, 60299}, {23275, 60300}, {28146, 38022}, {28168, 38068}, {28172, 38083}, {28182, 38021}, {28186, 38081}, {28198, 59420}, {28208, 38112}, {28216, 38314}, {29181, 55693}, {29317, 38079}, {31162, 50832}, {31730, 50824}, {33697, 50829}, {33878, 50975}, {34627, 50822}, {34628, 37705}, {34648, 50825}, {34718, 50813}, {34773, 50815}, {35820, 43380}, {35821, 43381}, {36427, 59649}, {36967, 42634}, {36968, 42633}, {36987, 45956}, {39899, 50966}, {41119, 42586}, {41120, 42587}, {41153, 55694}, {41945, 51910}, {41946, 51911}, {41955, 41962}, {41956, 41961}, {42085, 51944}, {42086, 51945}, {42101, 51916}, {42102, 51915}, {42117, 42528}, {42118, 42529}, {42121, 42972}, {42122, 42625}, {42123, 42626}, {42124, 42973}, {42129, 43202}, {42130, 42497}, {42131, 42496}, {42132, 43201}, {42147, 42631}, {42148, 42632}, {42157, 42792}, {42158, 42791}, {42225, 52046}, {42226, 52045}, {42263, 43212}, {42264, 43211}, {42912, 43631}, {42913, 43630}, {42934, 43229}, {42935, 43228}, {43100, 43545}, {43107, 43544}, {43150, 54169}, {43273, 51182}, {43336, 43342}, {43337, 43343}, {43519, 43536}, {43520, 54597}, {44413, 46945}, {44882, 55590}, {46264, 50968}, {47354, 48891}, {48876, 55625}, {48880, 55689}, {48881, 50979}, {48884, 50984}, {48892, 50965}, {48898, 55635}, {48906, 50971}, {50461, 52099}, {50808, 50830}, {50811, 61295}, {50959, 55672}, {50961, 55607}, {50980, 55653}, {50987, 54131}, {50991, 55637}, {50992, 55602}, {51023, 55639}, {51081, 51085}, {51136, 55594}, {51138, 55710}, {51139, 55665}, {58221, 61270}

X(62111) = midpoint of X(i) and X(j) for these {i,j}: {20, 5054}, {376, 15689}, {3534, 10304}, {3545, 15681}, {11001, 14269}, {15686, 17504}
X(62111) = reflection of X(i) in X(j) for these {i,j}: {10304, 548}, {14269, 140}, {15687, 15699}, {15689, 15690}, {15699, 3}, {17504, 8703}, {3545, 12100}, {3627, 3545}, {3845, 5054}, {5, 17504}, {549, 10304}, {550, 15689}, {61270, 58221}
X(62111) = complement of X(62027)
X(62111) = anticomplement of X(61965)
X(62111) = pole of line {185, 61835} with respect to the Jerabek hyperbola
X(62111) = pole of line {69, 62169} with respect to the Wallace hyperbola
X(62111) = intersection, other than A, B, C, of circumconics {{A, B, C, X(547), X(13623)}}, {{A, B, C, X(1294), X(15699)}}, {{A, B, C, X(10301), X(54891)}}, {{A, B, C, X(13596), X(57714)}}, {{A, B, C, X(18317), X(23046)}}, {{A, B, C, X(43713), X(44878)}}
X(62111) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15682, 10124}, {3, 15683, 5066}, {3, 15687, 15713}, {3, 15697, 15691}, {3, 15721, 12100}, {3, 1657, 3855}, {3, 30, 15699}, {3, 3534, 15683}, {4, 10304, 15706}, {5, 8703, 15714}, {20, 15698, 15684}, {20, 376, 15695}, {30, 12100, 3545}, {30, 15690, 15689}, {30, 15699, 15687}, {30, 5054, 3845}, {30, 548, 10304}, {376, 15696, 15690}, {376, 3534, 548}, {376, 550, 8703}, {381, 15711, 14869}, {381, 15717, 11540}, {548, 3856, 3528}, {549, 15698, 15712}, {549, 15711, 15717}, {549, 3857, 2}, {549, 5055, 11539}, {549, 550, 3534}, {3146, 15700, 10109}, {3524, 5055, 14890}, {3526, 15681, 15640}, {3526, 3534, 15681}, {3528, 3830, 14891}, {3529, 15693, 14893}, {3533, 17538, 20}, {3534, 15688, 5055}, {3534, 15695, 15698}, {3628, 5066, 5071}, {3628, 5076, 3857}, {3830, 14891, 632}, {3857, 12103, 15704}, {5066, 10124, 7486}, {5073, 15702, 3860}, {7486, 15683, 15682}, {10124, 15682, 3858}, {10304, 15683, 15709}, {10304, 15706, 15759}, {10304, 15709, 3}, {10304, 15717, 15710}, {11001, 14093, 140}, {11001, 14269, 30}, {11001, 15705, 14269}, {11540, 15717, 549}, {12100, 15681, 3627}, {14093, 14269, 15705}, {14869, 15710, 17504}, {15684, 15698, 3628}, {15685, 15692, 546}, {15687, 15691, 15686}, {15687, 15713, 5}, {15691, 15697, 550}, {15700, 17800, 6833}, {43639, 43640, 6}

X(62112) = X(1)X(51079)∩X(2)X(3)

X(62112) lies on these lines: {1, 51079}, {2, 3}, {6, 51134}, {8, 50812}, {13, 42932}, {14, 42933}, {69, 50968}, {145, 50819}, {165, 38098}, {193, 50975}, {542, 55613}, {590, 42641}, {615, 42642}, {3244, 34632}, {3619, 51216}, {3621, 50809}, {3624, 50873}, {3626, 34628}, {3629, 50971}, {3631, 50972}, {3632, 50808}, {3636, 34638}, {3644, 51042}, {4031, 15933}, {4297, 34747}, {5032, 55717}, {5351, 49824}, {5352, 49825}, {5493, 51095}, {6435, 9541}, {6494, 52047}, {6495, 52048}, {6776, 55592}, {8717, 43572}, {9778, 61291}, {9780, 50863}, {10653, 42635}, {10654, 42636}, {11008, 43273}, {11160, 55605}, {11179, 55723}, {11488, 51945}, {11489, 51944}, {12512, 34641}, {15808, 50865}, {16267, 43465}, {16268, 43466}, {16962, 42982}, {16963, 42983}, {16966, 43477}, {16967, 43478}, {18481, 50813}, {19924, 55707}, {20050, 50811}, {20054, 50810}, {20057, 31730}, {20070, 61284}, {20080, 50966}, {20423, 55702}, {28198, 61279}, {33878, 51177}, {40341, 50965}, {42096, 43100}, {42097, 43107}, {42099, 43541}, {42100, 43540}, {42117, 43253}, {42118, 43252}, {42121, 43488}, {42124, 43487}, {42522, 53130}, {42523, 53131}, {42584, 43542}, {42585, 43543}, {42586, 42945}, {42587, 42944}, {42629, 43403}, {42630, 43404}, {42631, 42999}, {42632, 42998}, {42779, 49826}, {42780, 49827}, {42910, 43196}, {42911, 43195}, {43028, 51916}, {43029, 51915}, {43110, 43482}, {43111, 43481}, {43364, 43642}, {43365, 43641}, {43479, 43633}, {43480, 43632}, {43491, 54593}, {43492, 54594}, {43523, 43883}, {43524, 43884}, {44882, 54174}, {46264, 50969}, {46930, 50799}, {47355, 51029}, {48873, 55709}, {48881, 50976}, {48885, 54132}, {48892, 50967}, {50864, 51083}, {50866, 51073}, {50956, 55658}, {50990, 55626}, {51022, 55656}, {51128, 51167}, {51171, 51211}, {51178, 55594}, {54173, 55619}, {55719, 61044}

X(62112) = midpoint of X(i) and X(j) for these {i,j}: {20, 15708}
X(62112) = reflection of X(i) in X(j) for these {i,j}: {15706, 8703}, {15708, 10304}, {15710, 15688}, {2, 15710}, {3545, 15706}, {3839, 15708}
X(62112) = anticomplement of X(61967)
X(62112) = pole of line {69, 62166} with respect to the Wallace hyperbola
X(62112) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3543), X(57823)}}, {{A, B, C, X(15695), X(18850)}}
X(62112) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15683, 382}, {2, 15687, 3091}, {2, 15688, 10304}, {2, 15705, 15707}, {2, 15715, 3523}, {2, 3530, 15721}, {3, 1657, 3856}, {4, 376, 15695}, {20, 10304, 3839}, {20, 15692, 15640}, {20, 15708, 30}, {20, 3522, 10303}, {30, 10304, 15708}, {30, 15688, 15710}, {30, 15706, 3545}, {30, 8703, 15706}, {376, 11001, 548}, {376, 17538, 8703}, {376, 3534, 3522}, {382, 550, 17538}, {382, 8703, 15715}, {3523, 17538, 20}, {3524, 3529, 14269}, {3524, 3545, 15694}, {3526, 6982, 140}, {3528, 3529, 15720}, {3534, 15695, 11812}, {3534, 15711, 11001}, {3534, 15720, 15681}, {3839, 10304, 15692}, {8703, 14893, 3}, {8703, 15686, 3858}, {8703, 17538, 15683}, {10299, 11001, 15687}, {10299, 15687, 2}, {12103, 14093, 15682}, {14093, 15682, 15717}, {15640, 15692, 5056}, {15681, 15688, 17504}, {15682, 16434, 376}, {15683, 15694, 3543}, {15684, 15719, 5068}, {15685, 15702, 17578}, {15688, 15689, 550}, {15688, 17504, 3528}, {15691, 15695, 4}, {15707, 15710, 15705}, {15720, 17504, 3524}, {42096, 43100, 43202}, {42097, 43107, 43201}

X(62113) = X(2)X(3)∩X(15)X(42891)

X(62113) lies on these lines: {2, 3}, {15, 42891}, {16, 42890}, {69, 55612}, {388, 51817}, {962, 61279}, {1056, 4325}, {1058, 4330}, {1131, 6451}, {1132, 6452}, {1352, 55636}, {1503, 55622}, {1587, 6429}, {1588, 6430}, {2548, 15602}, {3068, 6486}, {3069, 6487}, {3316, 6411}, {3317, 6412}, {3411, 43245}, {3412, 43244}, {3579, 61247}, {3618, 33751}, {3619, 48896}, {4297, 61291}, {4316, 31452}, {4746, 5881}, {4816, 11362}, {5008, 7738}, {5217, 31410}, {5237, 43770}, {5238, 43769}, {5493, 34631}, {5550, 28154}, {5657, 61250}, {5731, 11278}, {5818, 31425}, {5882, 50819}, {6200, 31414}, {6241, 15606}, {6361, 16200}, {6409, 23269}, {6410, 23275}, {6425, 43256}, {6426, 43257}, {6431, 9541}, {6433, 23267}, {6434, 23273}, {6437, 42259}, {6438, 42258}, {6459, 51910}, {6460, 9681}, {6484, 6560}, {6485, 6561}, {6776, 55591}, {7583, 9692}, {7967, 11531}, {7982, 50815}, {8550, 50975}, {8718, 51261}, {9588, 61254}, {9589, 10595}, {9680, 13886}, {9693, 42638}, {9778, 37727}, {10137, 18512}, {10138, 18510}, {11160, 55602}, {11180, 55626}, {11456, 16936}, {11477, 50971}, {11488, 43633}, {11489, 43632}, {12317, 38788}, {13607, 58241}, {13939, 42266}, {14912, 48881}, {14927, 40107}, {15069, 55618}, {15515, 31417}, {15749, 20421}, {15815, 31407}, {16192, 31399}, {16808, 43642}, {16809, 43641}, {20070, 61286}, {20125, 38726}, {21356, 55637}, {22236, 43481}, {22238, 43482}, {25406, 33749}, {26878, 58808}, {28190, 46933}, {29012, 55642}, {29181, 55699}, {29317, 55683}, {31447, 59387}, {31662, 61276}, {31670, 55688}, {33604, 42794}, {33605, 42793}, {33630, 61301}, {33750, 48872}, {33879, 46852}, {34754, 42120}, {34755, 42119}, {35770, 42260}, {35771, 42261}, {39561, 48873}, {39874, 55607}, {40280, 58533}, {42085, 43011}, {42086, 43010}, {42087, 52080}, {42088, 52079}, {42090, 42433}, {42091, 42434}, {42096, 43464}, {42097, 43463}, {42112, 42489}, {42113, 42488}, {42130, 42987}, {42131, 42986}, {42133, 42491}, {42134, 42490}, {42144, 43870}, {42145, 43869}, {42163, 43555}, {42164, 43543}, {42165, 43542}, {42166, 43554}, {42275, 43375}, {42276, 43374}, {42429, 42921}, {42430, 42920}, {42516, 43646}, {42517, 43645}, {42537, 43255}, {42538, 43254}, {42586, 49874}, {42587, 49873}, {42588, 42992}, {42589, 42993}, {42625, 42999}, {42626, 42998}, {42773, 43401}, {42774, 43402}, {42944, 51944}, {42945, 51945}, {43174, 50812}, {43407, 43509}, {43408, 43510}, {43416, 43479}, {43417, 43480}, {43519, 45384}, {43520, 45385}, {44882, 55582}, {46264, 55603}, {48880, 55695}, {48891, 55645}, {48892, 55587}, {48898, 55627}, {48920, 51538}, {50664, 51212}, {50813, 50871}, {50820, 51120}, {50868, 51083}, {50969, 51027}, {50974, 52987}, {50976, 51166}, {51177, 51214}, {51537, 55653}, {58244, 61287}

X(62113) = midpoint of X(i) and X(j) for these {i,j}: {20, 15717}
X(62113) = reflection of X(i) in X(j) for these {i,j}: {15718, 8703}, {3855, 15717}, {4, 3525}, {5056, 3}
X(62113) = anticomplement of X(61970)
X(62113) = pole of line {185, 15702} with respect to the Jerabek hyperbola
X(62113) = pole of line {69, 17800} with respect to the Wallace hyperbola
X(62113) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(54), X(35501)}}, {{A, B, C, X(68), X(15684)}}, {{A, B, C, X(69), X(17800)}}, {{A, B, C, X(1105), X(15702)}}, {{A, B, C, X(1294), X(5056)}}, {{A, B, C, X(3431), X(55575)}}, {{A, B, C, X(3830), X(15749)}}, {{A, B, C, X(3839), X(15318)}}, {{A, B, C, X(5055), X(15740)}}, {{A, B, C, X(11270), X(55572)}}, {{A, B, C, X(15705), X(54660)}}, {{A, B, C, X(15750), X(20421)}}, {{A, B, C, X(18535), X(57715)}}, {{A, B, C, X(18851), X(61138)}}, {{A, B, C, X(34483), X(58202)}}, {{A, B, C, X(41983), X(60007)}}
X(62113) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11541, 4}, {2, 20, 17800}, {3, 15686, 5059}, {3, 15708, 10299}, {3, 1657, 3845}, {3, 30, 5056}, {3, 3533, 3524}, {3, 3543, 3533}, {3, 382, 16239}, {3, 3850, 15708}, {3, 4, 15702}, {3, 5059, 3545}, {5, 3530, 15694}, {20, 15717, 30}, {20, 17578, 1657}, {20, 3522, 5}, {20, 376, 3528}, {20, 548, 631}, {30, 15717, 3855}, {30, 8703, 15718}, {376, 15682, 15688}, {376, 15710, 15695}, {376, 3529, 3522}, {376, 550, 17538}, {376, 631, 548}, {382, 16239, 3832}, {548, 12103, 3861}, {631, 3855, 5070}, {1657, 10304, 3090}, {1657, 3530, 17578}, {2041, 2042, 3839}, {3091, 10303, 16417}, {3091, 17576, 15699}, {3146, 10299, 5071}, {3146, 15708, 3850}, {3522, 3534, 3529}, {3522, 3543, 3}, {3523, 15682, 3544}, {3523, 15704, 15682}, {3524, 11001, 3543}, {3524, 13635, 5076}, {3524, 3525, 15720}, {3528, 11001, 5067}, {3528, 3855, 15715}, {3529, 10299, 14269}, {3529, 5076, 11541}, {3530, 15716, 15717}, {3545, 15686, 11001}, {3545, 15719, 15723}, {3855, 15717, 3525}, {5046, 10303, 5054}, {6931, 13587, 5177}, {10304, 17578, 3530}, {11541, 17538, 12103}, {12103, 17800, 20}, {14784, 14785, 15684}, {14869, 15684, 3854}, {15683, 15695, 15710}, {15688, 15704, 3523}, {15689, 15697, 376}, {15708, 15718, 15719}

X(62114) = X(2)X(3)∩X(40)X(50830)

X(62114) lies on these lines: {2, 3}, {40, 50830}, {182, 51134}, {524, 55592}, {542, 55609}, {1151, 43384}, {1152, 43385}, {1350, 50985}, {1353, 50975}, {1385, 51079}, {1483, 50819}, {1503, 55621}, {3564, 55599}, {4297, 51087}, {5365, 43003}, {5366, 43002}, {5690, 50812}, {6200, 43316}, {6396, 43317}, {6409, 43340}, {6410, 43341}, {6435, 41945}, {6436, 41946}, {6459, 6495}, {6460, 6494}, {6776, 51182}, {8981, 43342}, {10653, 43421}, {10654, 43420}, {11645, 50972}, {12007, 48885}, {12512, 50827}, {13607, 50815}, {13966, 43343}, {16772, 33607}, {16773, 33606}, {19106, 43489}, {19107, 43490}, {19924, 51138}, {23302, 43324}, {23303, 43325}, {28198, 51085}, {28208, 50816}, {28212, 59420}, {28216, 34638}, {29181, 55700}, {33416, 51916}, {33417, 51915}, {33751, 46267}, {34380, 55589}, {36969, 42930}, {36970, 42931}, {41943, 42687}, {41944, 42686}, {42085, 43333}, {42086, 43332}, {42099, 43484}, {42100, 43483}, {42121, 51944}, {42124, 51945}, {42143, 42430}, {42146, 42429}, {42157, 42899}, {42158, 42898}, {42263, 43315}, {42264, 43314}, {42415, 43645}, {42416, 43646}, {42496, 42795}, {42497, 42796}, {42684, 42912}, {42685, 42913}, {42791, 43207}, {42792, 43208}, {42793, 49904}, {42794, 49903}, {42799, 42943}, {42800, 42942}, {42924, 43009}, {42925, 43008}, {42934, 43108}, {42935, 43109}, {42940, 43545}, {42941, 43544}, {44882, 51140}, {48661, 50832}, {48662, 51184}, {48873, 50976}, {48876, 50968}, {48881, 55723}, {48892, 55586}, {48920, 50983}, {50965, 55605}, {50981, 55648}, {50982, 55619}, {51022, 55655}, {51130, 55688}, {51143, 55647}, {51177, 55584}, {51737, 55712}, {51910, 52048}, {51911, 52047}

X(62114) = midpoint of X(i) and X(j) for these {i,j}: {20, 12100}, {376, 15691}, {546, 11001}, {547, 15681}, {548, 3534}, {550, 15690}, {1657, 12101}, {5066, 15704}, {8703, 12103}, {48885, 50971}, {48920, 50983}
X(62114) = reflection of X(i) in X(j) for these {i,j}: {10109, 3}, {11737, 14891}, {12101, 16239}, {12102, 2}, {14890, 10304}, {15759, 548}, {3530, 8703}, {3628, 15759}, {3845, 12108}, {3850, 12100}, {3860, 3530}, {3861, 11812}, {4, 11540}, {51130, 55688}, {51143, 55647}
X(62114) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(10109)}}, {{A, B, C, X(1494), X(12102)}}, {{A, B, C, X(13623), X(15699)}}
X(62114) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 30, 12102}, {3, 30, 10109}, {4, 549, 547}, {20, 3522, 3544}, {20, 376, 14093}, {30, 10304, 14890}, {30, 11812, 3861}, {30, 12100, 3850}, {30, 12108, 3845}, {30, 14891, 11737}, {30, 15759, 3628}, {30, 3530, 3860}, {30, 548, 15759}, {30, 8703, 3530}, {376, 17538, 3543}, {376, 3543, 15688}, {376, 549, 548}, {376, 550, 15691}, {547, 12103, 15681}, {547, 15691, 12103}, {547, 549, 11540}, {548, 5066, 10304}, {549, 15686, 15683}, {549, 15687, 5055}, {549, 15704, 15684}, {550, 15689, 15690}, {632, 8703, 15710}, {1657, 12101, 30}, {1657, 17504, 12101}, {3528, 15685, 11539}, {3530, 3850, 632}, {3534, 10304, 15704}, {3534, 15688, 17800}, {3534, 15695, 15640}, {3534, 5055, 20}, {3543, 15688, 15714}, {3543, 15714, 140}, {3850, 14093, 14891}, {6891, 15688, 3522}, {10304, 15022, 15698}, {10304, 15684, 549}, {10304, 15704, 5066}, {11737, 14891, 11812}, {12101, 17504, 16239}, {14093, 15687, 12100}, {15640, 15706, 5}, {15681, 15696, 376}, {15681, 15710, 15687}, {15683, 15692, 4}, {15689, 15697, 550}, {15695, 15719, 8703}, {15702, 15710, 15692}, {15718, 17538, 15686}

X(62115) = X(2)X(3)∩X(69)X(55609)

X(62115) lies on these lines: {2, 3}, {69, 55609}, {511, 51177}, {515, 50813}, {516, 50820}, {542, 55605}, {590, 43521}, {615, 43522}, {671, 41151}, {1285, 14075}, {1503, 50969}, {1992, 48892}, {3098, 50990}, {3576, 51075}, {3579, 51072}, {4297, 34631}, {5085, 51130}, {5237, 49810}, {5238, 49811}, {5334, 42792}, {5335, 42791}, {5343, 42503}, {5344, 42502}, {5473, 36318}, {5474, 36320}, {5657, 50801}, {6361, 51071}, {6468, 43384}, {6469, 43385}, {6496, 42526}, {6497, 42527}, {6560, 42525}, {6561, 42524}, {6776, 51187}, {7581, 42418}, {7582, 42417}, {7750, 32896}, {7967, 50819}, {9541, 43787}, {9741, 47102}, {9778, 50818}, {9862, 15300}, {10172, 50866}, {10517, 13810}, {10518, 13691}, {10519, 50958}, {11004, 52099}, {11179, 55719}, {11180, 41152}, {11230, 50873}, {11480, 49825}, {11481, 49824}, {11645, 50994}, {12512, 34627}, {14226, 42263}, {14241, 42264}, {14912, 50975}, {15533, 39874}, {15534, 48881}, {16772, 42586}, {16773, 42587}, {16962, 43769}, {16963, 43770}, {18546, 55823}, {19924, 55712}, {20423, 55707}, {23249, 43536}, {23259, 54597}, {23267, 43209}, {23269, 52045}, {23273, 43210}, {23275, 52046}, {25406, 55717}, {28164, 51083}, {28208, 51068}, {29181, 50976}, {31162, 41150}, {31730, 51093}, {32787, 41956}, {32788, 41955}, {32822, 32892}, {33604, 43493}, {33605, 43494}, {33608, 33611}, {33609, 33610}, {33750, 51024}, {34628, 47745}, {34638, 51104}, {34773, 51092}, {35242, 51069}, {37640, 42632}, {37641, 42631}, {38042, 50863}, {38064, 48920}, {38176, 50864}, {38317, 51029}, {38747, 41147}, {41100, 42090}, {41101, 42091}, {41112, 42529}, {41113, 42528}, {41119, 42100}, {41120, 42099}, {41121, 42141}, {41122, 42140}, {41149, 44882}, {41153, 54131}, {41869, 51109}, {41951, 43786}, {41952, 43785}, {42085, 49861}, {42086, 49862}, {42087, 43778}, {42088, 43777}, {42104, 42515}, {42105, 42514}, {42119, 42510}, {42120, 42511}, {42139, 42430}, {42142, 42429}, {42154, 52080}, {42155, 52079}, {42283, 43518}, {42284, 43517}, {42472, 54480}, {42473, 54479}, {42508, 42998}, {42509, 42999}, {42512, 43230}, {42513, 43231}, {42520, 43646}, {42521, 43645}, {42940, 43464}, {42941, 43463}, {42942, 49875}, {42943, 49876}, {43228, 43481}, {43229, 43482}, {43374, 52667}, {43375, 52666}, {43544, 43637}, {43545, 43636}, {43632, 49904}, {43633, 49903}, {46264, 50992}, {46334, 49813}, {46335, 49812}, {46349, 54036}, {47353, 50972}, {48873, 55714}, {48880, 55702}, {48885, 54170}, {48898, 55619}, {48905, 50991}, {50804, 50809}, {50811, 51096}, {50815, 51107}, {50956, 55657}, {50961, 50966}, {50967, 51188}, {50971, 54132}, {50974, 55589}, {51022, 55654}, {51143, 55646}, {51174, 51176}, {51178, 55591}, {51211, 59399}, {51212, 55709}, {54173, 55613}, {54523, 60284}, {54612, 60143}, {54616, 54707}, {54637, 60185}, {60150, 60627}

X(62115) = midpoint of X(i) and X(j) for these {i,j}: {3526, 15681}
X(62115) = reflection of X(i) in X(j) for these {i,j}: {15701, 8703}, {15702, 3528}, {3528, 376}, {3543, 3851}, {3832, 15700}, {4, 15702}
X(62115) = anticomplement of X(61974)
X(62115) = pole of line {6, 33604} with respect to the Kiepert hyperbola
X(62115) = pole of line {69, 15685} with respect to the Wallace hyperbola
X(62115) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15685)}}, {{A, B, C, X(3854), X(54838)}}, {{A, B, C, X(3860), X(36889)}}, {{A, B, C, X(5059), X(54667)}}, {{A, B, C, X(50690), X(54512)}}, {{A, B, C, X(52301), X(54612)}}
X(62115) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15711}, {2, 15697, 15690}, {2, 15711, 15719}, {2, 20, 15685}, {2, 3543, 3860}, {20, 3522, 3627}, {30, 15700, 3832}, {30, 15702, 4}, {30, 3528, 15702}, {30, 376, 3528}, {30, 3851, 3543}, {30, 8703, 15701}, {140, 3832, 3090}, {376, 15710, 548}, {376, 3545, 3522}, {376, 631, 15688}, {548, 3543, 15710}, {550, 15691, 15689}, {550, 3534, 15697}, {3522, 15640, 12100}, {3524, 11541, 381}, {3524, 5071, 140}, {3526, 15681, 30}, {3529, 10304, 5071}, {3529, 15719, 3830}, {3534, 3830, 15686}, {3543, 15710, 3525}, {3830, 5072, 3845}, {3839, 14093, 10299}, {3845, 8703, 14891}, {8703, 10109, 3}, {10304, 15683, 5072}, {10304, 15686, 3529}, {10304, 15696, 376}, {11001, 17538, 3534}, {12100, 15640, 3545}, {12100, 15681, 15640}, {12101, 15716, 2}, {12103, 15688, 15683}, {14093, 15704, 3839}, {15683, 15688, 631}, {15684, 15708, 3855}, {15685, 15695, 15716}, {15685, 15716, 12101}, {15686, 15696, 10304}, {15686, 15719, 11001}, {15689, 15691, 20}, {15691, 15697, 15682}, {15695, 15716, 8703}, {15698, 15701, 3524}, {15698, 15719, 15700}, {33604, 43493, 49905}, {33605, 43494, 49906}

X(62116) = X(2)X(3)∩X(6)X(41971)

X(62116) lies on these lines: {2, 3}, {6, 41971}, {13, 42586}, {14, 42587}, {182, 50976}, {542, 55604}, {599, 55624}, {671, 38634}, {1353, 51177}, {1385, 50820}, {1587, 6474}, {1588, 6475}, {3654, 4746}, {3655, 28228}, {4816, 28204}, {5346, 44519}, {5690, 50813}, {5731, 58238}, {5965, 55593}, {6054, 38635}, {6445, 35822}, {6446, 35823}, {6472, 42638}, {6473, 42637}, {6500, 42260}, {6501, 42261}, {6560, 9690}, {6561, 43415}, {6684, 51083}, {7753, 44541}, {7987, 50806}, {8717, 9703}, {9140, 38633}, {9681, 42418}, {9691, 32787}, {10706, 38638}, {10707, 38637}, {10711, 38636}, {11178, 55643}, {11645, 50968}, {11742, 15603}, {12315, 32903}, {12816, 42490}, {12817, 42491}, {15087, 52099}, {15533, 55602}, {16960, 42529}, {16961, 42528}, {17851, 18510}, {19924, 53091}, {20127, 56567}, {21358, 48896}, {25561, 55654}, {28198, 37624}, {28208, 50812}, {28232, 34638}, {28234, 34748}, {28236, 34718}, {31162, 58230}, {33602, 43479}, {33603, 43480}, {33751, 47352}, {34773, 58247}, {36836, 46334}, {36843, 46335}, {36969, 51945}, {36970, 51944}, {38072, 48879}, {38731, 48657}, {40693, 43236}, {40694, 43237}, {41953, 41968}, {41954, 41967}, {41969, 53130}, {41970, 53131}, {42085, 42778}, {42086, 42777}, {42125, 42513}, {42128, 42512}, {42275, 43790}, {42276, 43789}, {42433, 42521}, {42434, 42520}, {42626, 61719}, {42791, 42988}, {42792, 42989}, {42894, 42996}, {42895, 42997}, {43273, 48885}, {43342, 43887}, {43343, 43888}, {43632, 49906}, {43633, 49905}, {44456, 48892}, {46267, 48920}, {47353, 48891}, {48872, 55692}, {48873, 50971}, {48874, 50962}, {48876, 50969}, {48880, 55705}, {48898, 50955}, {48905, 55632}, {48942, 51141}, {50963, 53094}, {50980, 51537}, {50993, 55637}, {51174, 55587}, {51187, 55588}, {54131, 55697}

X(62116) = midpoint of X(i) and X(j) for these {i,j}: {3091, 11001}, {3534, 15696}, {15681, 15694}, {15697, 17538}
X(62116) = reflection of X(i) in X(j) for these {i,j}: {12812, 15759}, {14093, 376}, {15693, 3522}, {15694, 14093}, {15695, 15696}, {15696, 15697}, {15697, 550}, {15711, 548}, {3, 15695}, {381, 15692}, {3091, 15711}, {3534, 17538}, {3830, 1656}, {3843, 15693}, {3858, 12100}, {4, 15713}, {5071, 15714}, {5076, 2}, {50806, 7987}, {50963, 53094}, {50993, 55637}, {51537, 50980}, {55629, 50968}, {631, 8703}
X(62116) = pole of line {185, 61849} with respect to the Jerabek hyperbola
X(62116) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(19709)}}, {{A, B, C, X(1494), X(5076)}}
X(62116) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 30, 5076}, {3, 15684, 15703}, {3, 5055, 15722}, {4, 14891, 15723}, {20, 15690, 15688}, {20, 376, 549}, {20, 546, 1657}, {30, 12100, 3858}, {30, 15692, 381}, {30, 15693, 3843}, {30, 15696, 15695}, {30, 15711, 3091}, {30, 15713, 4}, {30, 15714, 5071}, {30, 15759, 12812}, {30, 17538, 3534}, {30, 3522, 15693}, {30, 548, 15711}, {30, 550, 15697}, {30, 8703, 631}, {376, 3534, 15681}, {376, 3543, 8703}, {376, 5071, 3522}, {381, 14093, 15692}, {381, 15700, 10124}, {381, 3534, 15686}, {382, 10304, 15701}, {546, 14869, 17573}, {546, 631, 1656}, {546, 8703, 15705}, {547, 549, 3525}, {1657, 11541, 17800}, {1657, 15700, 3543}, {1657, 15705, 3830}, {1657, 8703, 5055}, {3090, 3525, 17535}, {3528, 3845, 15706}, {3534, 15688, 20}, {3543, 8703, 15700}, {3545, 13587, 5066}, {3545, 13735, 10109}, {3830, 5055, 546}, {3839, 15759, 15720}, {4193, 16239, 3526}, {5054, 11001, 5073}, {6891, 15685, 2}, {6958, 15690, 6825}, {10109, 10299, 5054}, {10304, 15701, 3}, {11645, 50968, 55629}, {12101, 15708, 5079}, {14093, 15693, 15714}, {14093, 15696, 376}, {14891, 15723, 15707}, {15681, 15684, 15685}, {15681, 15694, 30}, {15681, 15695, 15694}, {15684, 15703, 14269}, {15685, 15703, 15684}, {15689, 15695, 15696}, {15694, 15695, 14093}, {15696, 15697, 15689}, {41971, 41972, 6}

X(62117) = X(2)X(3)∩X(69)X(55608)

X(62117) lies on these lines: {2, 3}, {69, 55608}, {944, 59420}, {1285, 9607}, {1352, 55634}, {1587, 9693}, {3316, 42276}, {3317, 42275}, {3579, 61248}, {3618, 48920}, {4297, 61288}, {4309, 37602}, {5334, 42685}, {5335, 42684}, {5351, 43543}, {5352, 43542}, {5657, 61252}, {5731, 61282}, {6361, 11224}, {6459, 43788}, {6460, 43787}, {6470, 9541}, {7581, 9681}, {7756, 46453}, {7982, 50819}, {8162, 15338}, {8550, 51177}, {8972, 43340}, {9606, 44541}, {9705, 37480}, {11206, 32903}, {11477, 50975}, {11488, 43013}, {11489, 43012}, {12512, 59388}, {13941, 43341}, {14912, 48892}, {14927, 43150}, {15520, 48873}, {15740, 57714}, {16964, 42987}, {16965, 42986}, {22235, 43493}, {22237, 43494}, {23267, 35815}, {23269, 35812}, {23273, 35814}, {23275, 35813}, {25406, 55716}, {28164, 31425}, {28182, 46934}, {31414, 42267}, {31454, 43407}, {31457, 43618}, {31670, 55690}, {33751, 51538}, {35786, 43558}, {35787, 43559}, {37640, 43022}, {37641, 43023}, {38021, 51081}, {38074, 50816}, {39874, 55601}, {40107, 55630}, {40693, 52079}, {40694, 52080}, {42119, 42433}, {42120, 42434}, {42144, 42690}, {42145, 42691}, {42149, 42796}, {42152, 42795}, {42153, 42686}, {42156, 42687}, {42157, 42926}, {42158, 42927}, {42159, 43484}, {42162, 43483}, {42163, 51944}, {42166, 51945}, {42258, 43338}, {42259, 43339}, {42266, 43431}, {42494, 43544}, {42495, 43545}, {42516, 43775}, {42517, 43776}, {42584, 42689}, {42585, 42688}, {42694, 42954}, {42695, 42955}, {42813, 43463}, {42814, 43464}, {42890, 43301}, {42891, 43300}, {42932, 43556}, {42933, 43557}, {42990, 43481}, {42991, 43482}, {43174, 50813}, {43302, 43777}, {43303, 43778}, {43386, 43883}, {43387, 43884}, {43806, 51179}, {46264, 55596}, {48880, 55706}, {48885, 55585}, {48891, 55638}, {48898, 55615}, {50972, 55641}, {50982, 55614}, {50992, 55597}, {51023, 55631}, {51212, 55710}

X(62117) = reflection of X(i) in X(j) for these {i,j}: {4, 10303}, {5068, 3}
X(62117) = anticomplement of X(61975)
X(62117) = pole of line {185, 15709} with respect to the Jerabek hyperbola
X(62117) = pole of line {69, 62155} with respect to the Wallace hyperbola
X(62117) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(547), X(15740)}}, {{A, B, C, X(1105), X(15709)}}, {{A, B, C, X(1294), X(5068)}}, {{A, B, C, X(1593), X(57714)}}, {{A, B, C, X(3534), X(18849)}}, {{A, B, C, X(3628), X(18852)}}, {{A, B, C, X(3853), X(43699)}}, {{A, B, C, X(5070), X(13623)}}, {{A, B, C, X(11270), X(44878)}}, {{A, B, C, X(14890), X(46412)}}, {{A, B, C, X(15318), X(50689)}}, {{A, B, C, X(15681), X(34483)}}, {{A, B, C, X(15717), X(18851)}}, {{A, B, C, X(17504), X(54660)}}, {{A, B, C, X(18847), X(49140)}}, {{A, B, C, X(21400), X(35401)}}, {{A, B, C, X(31371), X(41991)}}, {{A, B, C, X(43713), X(55570)}}, {{A, B, C, X(44580), X(60007)}}
X(62117) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15699, 3523}, {3, 1657, 15687}, {3, 30, 5068}, {3, 3858, 15721}, {3, 4, 15709}, {3, 550, 15697}, {4, 17538, 3534}, {4, 3524, 3628}, {4, 3528, 15717}, {20, 15696, 3528}, {20, 15717, 17800}, {20, 3522, 382}, {20, 376, 631}, {20, 382, 11001}, {20, 3832, 1657}, {20, 631, 3529}, {20, 7486, 15683}, {376, 15719, 15688}, {382, 12103, 20}, {548, 15704, 3526}, {548, 3526, 10304}, {548, 3853, 15759}, {549, 12101, 5055}, {549, 15710, 15698}, {550, 12103, 15689}, {1657, 3628, 15640}, {2050, 3628, 3091}, {3090, 3522, 15710}, {3146, 15721, 3858}, {3522, 11001, 3090}, {3522, 3839, 3}, {3523, 15681, 11541}, {3534, 15689, 549}, {3534, 5055, 15686}, {3861, 5071, 3855}, {5059, 8703, 3525}, {5073, 15692, 3544}, {10304, 15683, 5066}, {10304, 15704, 4}, {11001, 15689, 376}, {12103, 15689, 3522}, {15683, 15709, 15682}, {15683, 15717, 17578}, {15696, 17800, 548}, {15697, 17578, 15696}, {15717, 17578, 7486}, {42795, 42965, 42152}, {42796, 42964, 42149}

X(62118) = X(2)X(3)∩X(395)X(42928)

X(62118) lies on these lines: {2, 3}, {395, 42928}, {396, 42929}, {511, 51135}, {517, 51080}, {952, 50814}, {3564, 50970}, {4669, 61246}, {4745, 28186}, {5476, 51134}, {5844, 51082}, {6200, 42572}, {6396, 42573}, {6411, 42576}, {6412, 42577}, {6439, 6560}, {6440, 6561}, {6451, 42639}, {6452, 42640}, {6476, 32787}, {6477, 32788}, {7583, 42525}, {7584, 42524}, {9690, 43386}, {11480, 49860}, {11481, 49859}, {14929, 32896}, {15534, 48874}, {16241, 42889}, {16242, 42888}, {16772, 43491}, {16773, 43492}, {22165, 48898}, {28146, 51108}, {28150, 51081}, {28160, 50816}, {28174, 50815}, {28182, 50828}, {28194, 61281}, {28202, 51700}, {28212, 51071}, {28216, 51705}, {28224, 50808}, {29012, 50972}, {31730, 61292}, {32455, 48892}, {33610, 52193}, {33611, 52194}, {34380, 51136}, {36969, 42504}, {36970, 42505}, {40273, 51109}, {41100, 42122}, {41101, 42123}, {41119, 42145}, {41120, 42144}, {41121, 42530}, {41122, 42531}, {41961, 43209}, {41962, 43210}, {42087, 42631}, {42088, 42632}, {42115, 42589}, {42116, 42588}, {42121, 43878}, {42124, 43877}, {42130, 49812}, {42131, 49813}, {42164, 49904}, {42165, 49903}, {42417, 52048}, {42418, 52047}, {42496, 42529}, {42497, 42528}, {42500, 54591}, {42501, 54592}, {42506, 42791}, {42507, 42792}, {42508, 42511}, {42509, 42510}, {42635, 42891}, {42636, 42890}, {42643, 43526}, {42644, 43525}, {42692, 49908}, {42693, 49907}, {42912, 43207}, {42913, 43208}, {42942, 43109}, {42943, 43108}, {43387, 43415}, {43519, 60289}, {43520, 60290}, {43630, 49827}, {43631, 49826}, {43647, 43870}, {43648, 43869}, {50813, 51072}, {50820, 51105}, {50862, 61614}, {50874, 61266}, {50958, 55627}, {50969, 50990}, {50973, 59411}, {50976, 51185}, {50994, 55629}, {51079, 51709}, {51184, 55624}, {52886, 61599}

X(62118) = midpoint of X(i) and X(j) for these {i,j}: {140, 15681}, {376, 12103}, {547, 15704}, {548, 15686}, {550, 15691}, {1657, 14893}, {3534, 15690}, {3853, 15683}, {5066, 11001}
X(62118) = reflection of X(i) in X(j) for these {i,j}: {10109, 15759}, {11737, 3}, {11812, 8703}, {12101, 11540}, {12102, 10124}, {14891, 548}, {14893, 12108}, {15687, 16239}, {3543, 12811}, {3850, 14891}, {3860, 12100}, {3861, 549}
X(62118) = complement of X(62031)
X(62118) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(11737)}}, {{A, B, C, X(3861), X(18317)}}
X(62118) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 12100, 12108}, {2, 15682, 3843}, {2, 15684, 3845}, {2, 3850, 10109}, {3, 12101, 11540}, {20, 376, 5054}, {30, 10124, 12102}, {30, 11540, 12101}, {30, 12108, 14893}, {30, 12811, 3543}, {30, 14891, 3850}, {30, 16239, 15687}, {30, 548, 14891}, {30, 549, 3861}, {30, 8703, 11812}, {140, 12100, 15722}, {140, 15681, 30}, {376, 3523, 15688}, {548, 12103, 1657}, {550, 15686, 15689}, {550, 3534, 15690}, {550, 8703, 15697}, {1657, 5054, 15684}, {3534, 15695, 20}, {3534, 15696, 15685}, {3628, 3861, 3851}, {3845, 8703, 15698}, {5054, 15703, 3533}, {6864, 11539, 15703}, {8703, 11001, 5066}, {8703, 11812, 15759}, {10109, 12102, 3860}, {10109, 14890, 2}, {10109, 15759, 3530}, {10124, 12108, 14890}, {10124, 15759, 12100}, {11540, 12101, 11737}, {12100, 15690, 376}, {14891, 14893, 10124}, {15681, 15688, 3544}, {15682, 15688, 15711}, {15682, 15711, 547}, {15683, 17504, 3853}, {15684, 15712, 14892}, {15686, 15689, 548}, {15689, 17538, 15686}, {15690, 15691, 3534}, {15695, 15698, 8703}, {15704, 15711, 15682}, {42528, 42585, 42497}, {42529, 42584, 42496}

X(62119) = X(2)X(3)∩X(599)X(55623)

X(62119) lies on these lines: {2, 3}, {599, 55623}, {1503, 55620}, {5206, 11742}, {5237, 42816}, {5238, 42815}, {5351, 42126}, {5352, 42127}, {5355, 22331}, {5493, 50805}, {5925, 50414}, {6053, 15039}, {6425, 51911}, {6426, 51910}, {6427, 42260}, {6428, 42261}, {6445, 43407}, {6446, 43408}, {6453, 18512}, {6454, 18510}, {6455, 53513}, {6456, 53516}, {6496, 42276}, {6497, 42275}, {6519, 6560}, {6522, 6561}, {9690, 43883}, {10147, 35822}, {10148, 35823}, {10516, 55650}, {10645, 42903}, {10646, 42902}, {11477, 48892}, {11480, 43010}, {11481, 43011}, {11482, 48873}, {11645, 55628}, {11898, 55602}, {12702, 59420}, {13903, 42267}, {13961, 42266}, {14848, 50976}, {14927, 55624}, {15020, 38790}, {15069, 55611}, {16936, 18445}, {18440, 55626}, {20190, 48872}, {22236, 42896}, {22238, 42897}, {29012, 55641}, {29181, 55701}, {29317, 55684}, {29323, 55652}, {30389, 48661}, {31652, 44541}, {33541, 61150}, {34754, 43250}, {34755, 43251}, {35007, 44519}, {36748, 61314}, {36836, 42131}, {36843, 42130}, {36990, 55644}, {38021, 58225}, {39899, 52987}, {40107, 50968}, {42108, 42951}, {42109, 42950}, {42144, 43772}, {42145, 43771}, {42164, 42818}, {42165, 42817}, {42263, 42579}, {42264, 42578}, {42413, 45385}, {42414, 45384}, {42435, 43421}, {42436, 43420}, {42785, 53094}, {42946, 43636}, {42947, 43637}, {43193, 43775}, {43194, 43776}, {43230, 43483}, {43231, 43484}, {43273, 55583}, {43415, 43884}, {43630, 43778}, {43631, 43777}, {44882, 55724}, {46264, 55595}, {46850, 54048}, {48879, 55679}, {48880, 53093}, {48881, 55580}, {48885, 53097}, {48891, 55637}, {48896, 55647}, {48898, 55614}, {48905, 55631}, {48910, 55681}, {48920, 55687}, {50819, 61286}, {50824, 58236}, {51134, 51173}, {51172, 53858}, {51175, 55597}, {53023, 55677}, {54131, 55698}

X(62119) = reflection of X(i) in X(j) for these {i,j}: {15721, 8703}, {381, 15716}, {5072, 3}
X(62119) = pole of line {185, 61850} with respect to the Jerabek hyperbola
X(62119) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(5072)}}, {{A, B, C, X(1494), X(35401)}}, {{A, B, C, X(14269), X(15319)}}, {{A, B, C, X(18848), X(44903)}}
X(62119) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 10303, 15700}, {3, 15681, 3146}, {3, 1657, 5076}, {3, 17800, 546}, {3, 30, 5072}, {3, 3146, 1656}, {3, 3830, 632}, {3, 3843, 10303}, {3, 3851, 12108}, {3, 5073, 3090}, {3, 546, 5054}, {20, 11541, 15704}, {20, 3522, 15682}, {20, 376, 140}, {20, 381, 1657}, {20, 550, 15689}, {20, 8703, 5073}, {30, 8703, 15721}, {140, 15685, 382}, {140, 15704, 11541}, {140, 3627, 3091}, {140, 382, 381}, {140, 5070, 15723}, {376, 5067, 3522}, {381, 15720, 5070}, {382, 1656, 3845}, {548, 550, 15697}, {1656, 15697, 15696}, {1657, 15688, 3526}, {1657, 15696, 15688}, {3091, 11541, 3627}, {3091, 15708, 13741}, {3091, 15717, 3525}, {3146, 3524, 12811}, {3522, 15686, 17800}, {3522, 5067, 15759}, {3524, 10124, 15701}, {3525, 6867, 15703}, {3528, 5068, 14891}, {3534, 5054, 15686}, {3627, 12103, 20}, {3845, 17504, 10124}, {6891, 12101, 15716}, {6904, 17578, 3832}, {10304, 12108, 3}, {11541, 15704, 15685}, {12102, 15704, 5059}, {12103, 15696, 5079}, {15685, 15689, 376}, {15689, 15691, 3534}, {15717, 15720, 15693}, {15717, 15723, 15720}

X(62120) = X(1)X(34638)∩X(2)X(3)

X(62120) lies on these lines: {1, 34638}, {2, 3}, {6, 50971}, {8, 34628}, {10, 50816}, {15, 43244}, {16, 43245}, {40, 31145}, {61, 49875}, {62, 49876}, {69, 41467}, {98, 8596}, {99, 10513}, {141, 50972}, {145, 31730}, {165, 38155}, {192, 51042}, {193, 43273}, {230, 11742}, {371, 43256}, {372, 43257}, {390, 15326}, {395, 43466}, {396, 43465}, {485, 43519}, {486, 43520}, {516, 30392}, {519, 9778}, {524, 55591}, {538, 22676}, {542, 55603}, {553, 4313}, {597, 48872}, {599, 14927}, {633, 33611}, {634, 33610}, {671, 38747}, {754, 53142}, {944, 20049}, {962, 51705}, {1078, 32893}, {1125, 51081}, {1131, 6409}, {1132, 6410}, {1151, 43209}, {1152, 43210}, {1278, 51044}, {1327, 60311}, {1328, 60312}, {1350, 11160}, {1352, 55633}, {1503, 55618}, {1587, 9543}, {1588, 51910}, {1698, 50862}, {1992, 44882}, {2794, 52695}, {3068, 6433}, {3069, 6434}, {3070, 43887}, {3071, 43888}, {3098, 11180}, {3219, 58808}, {3241, 4297}, {3244, 51080}, {3316, 6496}, {3317, 6497}, {3424, 60628}, {3579, 4678}, {3589, 51165}, {3590, 41952}, {3591, 41951}, {3592, 42418}, {3594, 42417}, {3600, 10385}, {3616, 50865}, {3617, 50812}, {3618, 51024}, {3620, 48905}, {3621, 18481}, {3622, 31162}, {3623, 3655}, {3629, 51135}, {3632, 50814}, {3636, 58231}, {3653, 28146}, {3679, 12512}, {3763, 51022}, {3785, 32869}, {3818, 51216}, {3828, 16192}, {3926, 11057}, {4302, 37587}, {4304, 15933}, {4316, 10056}, {4324, 10072}, {4511, 43178}, {4699, 51065}, {4704, 51064}, {4740, 30271}, {4788, 51043}, {4995, 5261}, {5008, 7739}, {5032, 5102}, {5097, 48873}, {5237, 41113}, {5238, 41112}, {5265, 11238}, {5274, 5298}, {5281, 11237}, {5306, 44519}, {5334, 16963}, {5335, 16962}, {5339, 49861}, {5340, 49862}, {5343, 5351}, {5344, 5352}, {5365, 41122}, {5366, 41121}, {5395, 54522}, {5476, 48920}, {5493, 51093}, {5550, 50802}, {5603, 28202}, {5657, 28208}, {5731, 16200}, {5732, 60984}, {5882, 51092}, {5918, 44663}, {5921, 48898}, {5984, 8591}, {6000, 33884}, {6054, 38736}, {6411, 42604}, {6412, 42605}, {6429, 32787}, {6430, 32788}, {6431, 6460}, {6432, 6459}, {6437, 7585}, {6438, 7586}, {6451, 42540}, {6452, 42539}, {6455, 23269}, {6456, 23275}, {6480, 6560}, {6481, 6561}, {6482, 42525}, {6483, 42524}, {6484, 35822}, {6485, 35823}, {6486, 42267}, {6487, 42266}, {6488, 43413}, {6489, 43414}, {6776, 48885}, {6781, 14930}, {7581, 52047}, {7582, 52048}, {7712, 51394}, {7736, 44541}, {7750, 32840}, {7767, 32880}, {7768, 32896}, {7771, 32885}, {7773, 32873}, {7782, 32837}, {7802, 32831}, {7811, 32830}, {7885, 51579}, {8142, 31150}, {8717, 43574}, {8972, 42264}, {9140, 37853}, {9143, 16163}, {9542, 23267}, {9544, 37480}, {9589, 51103}, {9779, 19883}, {9780, 34648}, {9812, 25055}, {9821, 20105}, {9939, 34624}, {9961, 31165}, {10137, 43386}, {10138, 43387}, {10141, 43883}, {10142, 43884}, {10168, 48879}, {10248, 30308}, {10519, 11645}, {10574, 21969}, {10645, 43403}, {10646, 43404}, {10653, 34754}, {10654, 34755}, {10706, 11693}, {10707, 38759}, {10708, 38771}, {10709, 38783}, {10717, 38803}, {11002, 16226}, {11008, 51136}, {11015, 20008}, {11177, 12117}, {11178, 55642}, {11179, 37517}, {11480, 43332}, {11481, 43333}, {11485, 43481}, {11486, 43482}, {11668, 60113}, {11694, 38790}, {11738, 35257}, {11824, 13666}, {11825, 13786}, {12243, 35369}, {12279, 13348}, {12702, 20014}, {13172, 14830}, {13391, 61136}, {13678, 51952}, {13798, 51953}, {13941, 42263}, {14484, 60648}, {14537, 31400}, {14561, 55680}, {14683, 16111}, {14853, 55695}, {14907, 32836}, {14915, 54041}, {15072, 36987}, {15644, 52093}, {16241, 42134}, {16242, 42133}, {16267, 42086}, {16268, 42085}, {16644, 42141}, {16645, 42140}, {16936, 37672}, {18480, 50863}, {18483, 50873}, {18487, 61301}, {18492, 46930}, {18581, 42931}, {18582, 42930}, {18845, 54645}, {19053, 42258}, {19054, 42259}, {19862, 50869}, {19875, 28164}, {19877, 50829}, {19878, 58217}, {19924, 39561}, {20050, 51082}, {20052, 34718}, {20054, 50817}, {20080, 46264}, {20081, 33706}, {20095, 38761}, {20096, 38773}, {20099, 37749}, {20423, 48880}, {20427, 32903}, {20477, 36889}, {20582, 51537}, {21356, 31884}, {21843, 39563}, {21850, 51211}, {22165, 55614}, {22235, 42165}, {22237, 42164}, {23249, 43314}, {23253, 42602}, {23259, 43315}, {23263, 42603}, {24473, 31805}, {25565, 55669}, {28150, 38021}, {28160, 38074}, {28172, 38068}, {28182, 38022}, {28186, 38066}, {28204, 59417}, {28228, 58241}, {28610, 34701}, {29012, 55640}, {29181, 55703}, {29317, 33750}, {30331, 45834}, {31253, 50870}, {31670, 55691}, {31673, 46932}, {32424, 38798}, {32785, 43507}, {32786, 43508}, {32815, 32874}, {32819, 32872}, {32822, 32882}, {32870, 43459}, {33751, 55683}, {33878, 50974}, {34473, 41135}, {34504, 47102}, {34595, 51086}, {34604, 34616}, {34605, 34618}, {34607, 34620}, {34610, 34626}, {34611, 34630}, {34631, 34773}, {35240, 54036}, {35242, 46933}, {35750, 41020}, {35770, 42261}, {35771, 42260}, {36331, 41021}, {36413, 36427}, {36836, 43769}, {36843, 43770}, {36967, 42091}, {36968, 42090}, {36969, 43199}, {36970, 43200}, {37640, 42088}, {37641, 42087}, {37666, 48842}, {37668, 59634}, {37689, 44526}, {37832, 42113}, {37835, 42112}, {38079, 55682}, {38259, 54644}, {38746, 41134}, {39874, 50966}, {39899, 51179}, {40330, 48896}, {40341, 50970}, {40693, 46334}, {40694, 46335}, {41100, 42150}, {41101, 42151}, {41119, 42431}, {41120, 42432}, {41428, 55616}, {41869, 46934}, {41943, 42161}, {41944, 42160}, {41975, 54635}, {41976, 54634}, {42089, 43549}, {42092, 43548}, {42096, 51944}, {42097, 51945}, {42099, 42972}, {42100, 42973}, {42119, 42943}, {42120, 42942}, {42126, 43329}, {42127, 43328}, {42129, 42906}, {42130, 42913}, {42131, 42912}, {42132, 42907}, {42139, 43402}, {42142, 43401}, {42149, 49824}, {42152, 49825}, {42157, 42631}, {42158, 42632}, {42225, 43317}, {42226, 43316}, {42429, 43473}, {42430, 43474}, {42433, 42510}, {42434, 42511}, {42520, 42935}, {42521, 42934}, {42570, 60299}, {42571, 60300}, {42588, 42791}, {42589, 42792}, {42641, 53517}, {42642, 53520}, {42727, 43624}, {42728, 43625}, {42817, 43493}, {42818, 43494}, {42891, 61719}, {42932, 43416}, {42933, 43417}, {42940, 43202}, {42941, 43201}, {43174, 51072}, {43193, 43228}, {43194, 43229}, {43440, 54578}, {43441, 54579}, {43621, 51213}, {43681, 54851}, {43951, 60238}, {44299, 46847}, {47352, 51538}, {47354, 55646}, {47586, 60216}, {48310, 55673}, {48891, 50977}, {48906, 51177}, {48910, 50983}, {50709, 61680}, {50976, 51171}, {50978, 55604}, {50984, 55656}, {51026, 51126}, {51067, 61252}, {51084, 61268}, {51091, 58245}, {51212, 51737}, {52053, 54056}, {52054, 54055}, {53108, 54476}, {54734, 60145}, {54815, 56059}, {54920, 60650}, {54934, 60639}, {60118, 60283}, {60147, 60277}, {60324, 60641}, {60335, 60625}, {60336, 60626}

X(62120) = midpoint of X(i) and X(j) for these {i,j}: {20, 10304}, {1657, 14269}, {3534, 15689}, {3545, 11001}, {5054, 15681}, {15699, 15704}
X(62120) = reflection of X(i) in X(j) for these {i,j}: {10304, 376}, {10706, 11693}, {11002, 20791}, {11693, 38726}, {14269, 549}, {15682, 14269}, {15689, 550}, {17504, 548}, {2, 10304}, {21356, 31884}, {376, 15689}, {381, 17504}, {3524, 15688}, {3543, 3545}, {3545, 3}, {3830, 15699}, {3839, 3524}, {4, 5054}, {41135, 34473}, {5032, 25406}, {5054, 8703}, {51538, 47352}, {53620, 165}, {9779, 58221}, {9812, 25055}
X(62120) = inverse of X(61944) in orthocentroidal circle
X(62120) = inverse of X(61944) in Yff hyperbola
X(62120) = complement of X(62032)
X(62120) = anticomplement of X(3839)
X(62120) = pole of line {523, 61944} with respect to the orthocentroidal circle
X(62120) = pole of line {185, 15082} with respect to the Jerabek hyperbola
X(62120) = pole of line {6, 61944} with respect to the Kiepert hyperbola
X(62120) = pole of line {523, 61944} with respect to the Yff hyperbola
X(62120) = pole of line {69, 15683} with respect to the Wallace hyperbola
X(62120) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15683)}}, {{A, B, C, X(297), X(60635)}}, {{A, B, C, X(468), X(54921)}}, {{A, B, C, X(546), X(3346)}}, {{A, B, C, X(1105), X(55864)}}, {{A, B, C, X(1217), X(5079)}}, {{A, B, C, X(1294), X(3545)}}, {{A, B, C, X(1494), X(50687)}}, {{A, B, C, X(2693), X(37953)}}, {{A, B, C, X(3522), X(57822)}}, {{A, B, C, X(3543), X(35510)}}, {{A, B, C, X(3627), X(54552)}}, {{A, B, C, X(3830), X(16251)}}, {{A, B, C, X(3832), X(36889)}}, {{A, B, C, X(3843), X(54923)}}, {{A, B, C, X(3854), X(51348)}}, {{A, B, C, X(3859), X(18855)}}, {{A, B, C, X(4846), X(5066)}}, {{A, B, C, X(7486), X(15740)}}, {{A, B, C, X(8703), X(18850)}}, {{A, B, C, X(8889), X(54522)}}, {{A, B, C, X(11270), X(44880)}}, {{A, B, C, X(11738), X(52294)}}, {{A, B, C, X(14269), X(18317)}}, {{A, B, C, X(15022), X(55958)}}, {{A, B, C, X(15749), X(17578)}}, {{A, B, C, X(17538), X(60122)}}, {{A, B, C, X(18846), X(49134)}}, {{A, B, C, X(21735), X(60618)}}, {{A, B, C, X(31621), X(44334)}}, {{A, B, C, X(35501), X(44731)}}, {{A, B, C, X(38282), X(54644)}}, {{A, B, C, X(40506), X(44335)}}, {{A, B, C, X(44216), X(46270)}}, {{A, B, C, X(46412), X(55863)}}, {{A, B, C, X(47332), X(50480)}}, {{A, B, C, X(47339), X(53934)}}, {{A, B, C, X(52283), X(60628)}}, {{A, B, C, X(52288), X(60648)}}, {{A, B, C, X(52299), X(54645)}}, {{A, B, C, X(52485), X(56371)}}, {{A, B, C, X(54660), X(61138)}}
X(62120) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15705}, {2, 140, 17678}, {2, 15677, 11106}, {2, 15683, 3146}, {2, 17578, 381}, {2, 20, 15683}, {2, 3543, 3832}, {2, 376, 3522}, {2, 381, 15022}, {2, 3854, 5071}, {2, 5059, 3543}, {3, 11539, 3524}, {3, 15719, 15692}, {3, 1657, 3853}, {3, 20, 5059}, {3, 22, 13620}, {3, 30, 3545}, {3, 3534, 15686}, {3, 3545, 15708}, {3, 381, 11812}, {3, 3830, 15723}, {3, 3845, 15702}, {3, 3853, 3533}, {4, 3090, 3859}, {4, 631, 5079}, {5, 14093, 15698}, {5, 15698, 15721}, {20, 15697, 376}, {20, 15721, 15685}, {20, 3091, 1657}, {20, 3523, 3529}, {20, 3543, 11001}, {20, 376, 2}, {20, 548, 17578}, {30, 14269, 15682}, {30, 15699, 3830}, {30, 3524, 3839}, {30, 376, 10304}, {30, 548, 17504}, {30, 549, 14269}, {30, 550, 15689}, {30, 8703, 5054}, {140, 7486, 17536}, {376, 15682, 3528}, {376, 17538, 3534}, {376, 3524, 15688}, {376, 3528, 15695}, {376, 550, 15697}, {382, 10303, 3854}, {546, 15714, 15701}, {547, 11812, 632}, {547, 3853, 3860}, {550, 15686, 15690}, {1657, 15695, 549}, {1657, 3528, 3091}, {2043, 2044, 17538}, {3146, 15717, 5068}, {3146, 3522, 15717}, {3524, 15682, 14892}, {3524, 3545, 11539}, {3534, 15681, 12103}, {3534, 15696, 15681}, {3543, 5056, 3845}, {3545, 15709, 5067}, {3627, 10299, 7486}, {3627, 15759, 15694}, {3627, 4221, 10303}, {3655, 50872, 3623}, {3655, 6361, 50872}, {3830, 15706, 15699}, {3830, 15723, 3850}, {3843, 15716, 10124}, {3845, 15702, 5056}, {5055, 10303, 13745}, {5066, 15700, 3525}, {5073, 14869, 6830}, {5073, 15700, 5066}, {6361, 50819, 3655}, {6409, 42414, 1131}, {6410, 42413, 1132}, {10304, 15640, 15709}, {10304, 15692, 15710}, {10304, 15708, 3}, {11001, 11812, 15640}, {11001, 15686, 20}, {11177, 12117, 20094}, {11179, 48892, 50975}, {11179, 51028, 51170}, {11180, 50969, 3098}, {12101, 15703, 3855}, {12101, 15712, 15703}, {12103, 15690, 547}, {12103, 15696, 4}, {12117, 38749, 11177}, {14093, 15685, 5}, {14893, 15711, 3526}, {15681, 15695, 5070}, {15681, 15696, 8703}, {15683, 17678, 15684}, {15685, 15688, 14890}, {15686, 15696, 15719}, {15687, 15693, 3090}, {15692, 15697, 15696}, {15693, 17800, 15687}, {15694, 15759, 10299}, {15699, 15704, 30}, {15699, 15706, 631}, {15709, 17504, 3523}, {16644, 42141, 43540}, {16645, 42140, 43541}, {28158, 58221, 9779}, {31730, 50811, 34632}, {34627, 50813, 3579}, {34632, 50811, 145}, {34638, 50815, 1}, {41943, 42161, 49874}, {41944, 42160, 49873}, {42087, 42625, 37641}, {42088, 42626, 37640}, {42130, 52080, 42983}, {42131, 52079, 42982}, {42586, 49905, 42165}, {42587, 49906, 42164}, {43273, 48881, 54170}, {43273, 54170, 193}, {43540, 43869, 16644}, {48905, 50968, 54169}, {48905, 54169, 51023}, {51214, 54170, 55582}

X(62121) = X(2)X(3)∩X(49)X(8717)

X(62121) lies on these lines: {2, 3}, {49, 8717}, {61, 43646}, {62, 43645}, {516, 61277}, {517, 61289}, {542, 55602}, {962, 61280}, {999, 4330}, {1351, 33749}, {1352, 55632}, {1384, 7765}, {1483, 58247}, {1498, 32903}, {1503, 55616}, {3098, 48662}, {3295, 4325}, {3411, 42154}, {3412, 42155}, {3579, 37712}, {3653, 51079}, {3818, 55648}, {4297, 8148}, {4301, 37624}, {4309, 7373}, {4316, 9657}, {4317, 6767}, {4324, 9670}, {4333, 37606}, {5010, 9656}, {5050, 48880}, {5085, 48920}, {5093, 48873}, {5339, 42528}, {5340, 42529}, {5657, 61253}, {5691, 31447}, {5731, 61281}, {5882, 51080}, {5925, 14530}, {6101, 52093}, {6199, 9681}, {6221, 51911}, {6361, 61286}, {6395, 42258}, {6398, 51910}, {6407, 6560}, {6408, 6561}, {6409, 45384}, {6410, 45385}, {6417, 42260}, {6418, 42261}, {6445, 31454}, {6449, 42267}, {6450, 42266}, {6451, 35820}, {6452, 35821}, {6455, 35812}, {6456, 35813}, {6474, 9693}, {6496, 23251}, {6497, 23261}, {6781, 9605}, {7280, 9671}, {7354, 31480}, {7583, 9690}, {7584, 43415}, {7745, 31470}, {7747, 31492}, {7748, 11742}, {7988, 58219}, {7991, 34748}, {8550, 51135}, {8976, 53517}, {9588, 28160}, {9589, 10246}, {9607, 43136}, {9624, 28146}, {9655, 31452}, {9680, 13665}, {9691, 18512}, {9692, 23267}, {9707, 43599}, {9778, 18526}, {10541, 50976}, {10575, 15606}, {11362, 51515}, {11480, 43633}, {11481, 43632}, {11485, 42434}, {11486, 42433}, {11495, 26321}, {11645, 55626}, {12017, 48872}, {12111, 54047}, {12279, 54042}, {12308, 16163}, {12511, 18515}, {12512, 18525}, {12702, 61296}, {12902, 37853}, {13340, 46850}, {13348, 18439}, {13491, 54048}, {13903, 31414}, {13951, 53520}, {13961, 42225}, {14641, 23039}, {14855, 37484}, {14981, 38731}, {15045, 55286}, {15058, 54044}, {15063, 38723}, {15068, 52100}, {15069, 48898}, {15484, 31450}, {15533, 55600}, {15603, 43619}, {16003, 38788}, {16111, 23236}, {16192, 28168}, {16772, 42127}, {16773, 42126}, {16936, 37483}, {16960, 42689}, {16961, 42688}, {16962, 43310}, {16963, 43311}, {16964, 42115}, {16965, 42116}, {17845, 52102}, {18440, 55624}, {18442, 56516}, {18480, 31425}, {18481, 59420}, {18510, 42637}, {18553, 55641}, {19106, 42490}, {19107, 42491}, {19924, 53092}, {21358, 55647}, {22236, 43232}, {22238, 43233}, {23241, 38621}, {28154, 61271}, {28164, 61258}, {28194, 61282}, {28202, 30389}, {28208, 61252}, {29012, 55639}, {29181, 55705}, {29323, 55651}, {31467, 43618}, {31663, 37714}, {31666, 50865}, {31670, 55692}, {31730, 37727}, {31884, 48891}, {33543, 33887}, {33751, 48910}, {33878, 48885}, {34507, 55620}, {34783, 36987}, {34785, 35450}, {35255, 42414}, {35256, 42413}, {36967, 43305}, {36968, 43304}, {36969, 43372}, {36970, 43373}, {36990, 55643}, {37494, 43807}, {37545, 37723}, {37726, 38754}, {38064, 51134}, {38066, 50812}, {38072, 55679}, {38634, 38733}, {38635, 38736}, {38636, 38756}, {38637, 38759}, {38638, 38726}, {38639, 48658}, {40107, 48905}, {40693, 42131}, {40694, 42130}, {41963, 42572}, {41964, 42573}, {41973, 42631}, {41974, 42632}, {42090, 42148}, {42091, 42147}, {42096, 44016}, {42097, 44015}, {42099, 42153}, {42100, 42156}, {42129, 42692}, {42132, 42693}, {42157, 42625}, {42158, 42626}, {42545, 43545}, {42546, 43544}, {42584, 42815}, {42585, 42816}, {42596, 43226}, {42597, 43227}, {42629, 42691}, {42630, 42690}, {42813, 43637}, {42814, 43636}, {42888, 43464}, {42889, 43463}, {42912, 43769}, {42913, 43770}, {43150, 55622}, {43174, 61248}, {43177, 51514}, {43273, 55580}, {43322, 53130}, {43323, 53131}, {43374, 43560}, {43375, 43561}, {43785, 43879}, {43786, 43880}, {43845, 52099}, {44456, 44882}, {46264, 55593}, {47353, 55637}, {48661, 58230}, {48879, 53094}, {48881, 55584}, {48884, 55654}, {48889, 55656}, {48895, 55671}, {48896, 55646}, {48901, 55678}, {48904, 55673}, {48942, 55660}, {48943, 55667}, {50805, 61290}, {50955, 55614}, {50968, 55631}, {50973, 52987}, {51024, 55687}, {58220, 61268}, {58222, 61270}, {59503, 61246}

X(62121) = midpoint of X(i) and X(j) for these {i,j}: {20, 3528}, {15681, 15701}
X(62121) = reflection of X(i) in X(j) for these {i,j}: {15702, 8703}, {381, 15698}, {382, 3832}, {3526, 3528}, {3830, 15703}, {3851, 3}, {4, 14869}
X(62121) = anticomplement of X(61976)
X(62121) = pole of line {185, 15694} with respect to the Jerabek hyperbola
X(62121) = pole of line {6, 43306} with respect to the Kiepert hyperbola
X(62121) = pole of line {69, 55592} with respect to the Wallace hyperbola
X(62121) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1105), X(15694)}}, {{A, B, C, X(1294), X(3851)}}, {{A, B, C, X(3521), X(41099)}}, {{A, B, C, X(3627), X(52441)}}, {{A, B, C, X(3845), X(15318)}}, {{A, B, C, X(6662), X(41991)}}, {{A, B, C, X(15691), X(60122)}}, {{A, B, C, X(15707), X(60007)}}, {{A, B, C, X(21400), X(50687)}}, {{A, B, C, X(34483), X(46333)}}, {{A, B, C, X(43917), X(45003)}}
X(62121) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14269, 140}, {3, 15681, 5073}, {3, 15684, 1656}, {3, 15685, 4}, {3, 1656, 15707}, {3, 17800, 3843}, {3, 20, 17800}, {3, 30, 3851}, {3, 382, 5070}, {3, 550, 15689}, {4, 15708, 12812}, {5, 10124, 5067}, {5, 3526, 15703}, {5, 3530, 3525}, {5, 3853, 3839}, {20, 15717, 3529}, {20, 17578, 11001}, {20, 376, 5}, {20, 548, 382}, {20, 550, 15696}, {30, 15698, 381}, {30, 3528, 3526}, {30, 8703, 15702}, {376, 11001, 15705}, {376, 12103, 1657}, {376, 15681, 15718}, {376, 3839, 8703}, {382, 15696, 548}, {382, 3526, 3832}, {548, 15704, 7486}, {549, 5059, 5076}, {550, 15691, 17538}, {550, 15704, 15690}, {550, 17538, 3534}, {1656, 3529, 15684}, {1657, 3534, 12103}, {1657, 5054, 3146}, {2041, 2042, 3845}, {2043, 2044, 15691}, {3523, 15702, 12108}, {3534, 15688, 15686}, {3534, 15696, 20}, {3543, 15712, 5079}, {3627, 10124, 3854}, {3627, 10304, 15720}, {3830, 15689, 376}, {3853, 8703, 15717}, {3861, 15696, 6961}, {5070, 15694, 16239}, {10304, 15720, 3}, {11001, 14093, 14269}, {11541, 15692, 3850}, {12100, 14869, 3523}, {12100, 15685, 3830}, {12902, 37853, 38633}, {15681, 15689, 15695}, {15681, 15695, 5055}, {15681, 15701, 30}, {15685, 15688, 15694}, {15686, 15688, 15685}, {15686, 15690, 15708}, {15686, 15694, 15681}, {15686, 15697, 15688}, {15690, 15704, 3522}, {15702, 15707, 15701}, {15707, 17800, 3853}, {38733, 38747, 38634}, {38759, 48680, 38637}, {42433, 43194, 11486}, {42434, 43193, 11485}

X(62122) = X(2)X(3)∩X(6476)X(6560)

X(62122) lies on these lines: {2, 3}, {962, 50815}, {1350, 51215}, {3068, 43318}, {3069, 43319}, {3620, 48891}, {3622, 28202}, {4297, 50872}, {5032, 48873}, {5351, 49873}, {5352, 49874}, {5691, 50816}, {5731, 34638}, {5921, 50965}, {6407, 43386}, {6408, 43387}, {6409, 42641}, {6410, 42642}, {6441, 41945}, {6442, 41946}, {6455, 14241}, {6456, 14226}, {6476, 6560}, {6477, 6561}, {6478, 53130}, {6479, 53131}, {6486, 43342}, {6487, 43343}, {7989, 50867}, {9542, 35822}, {10147, 43411}, {10148, 43412}, {10576, 43566}, {10577, 43567}, {10645, 43540}, {10646, 43541}, {11008, 48881}, {11531, 51080}, {11645, 50969}, {12512, 38098}, {12820, 42911}, {12821, 42910}, {16192, 51083}, {18481, 20054}, {19875, 50863}, {19883, 50873}, {20050, 31730}, {20057, 28194}, {20583, 25406}, {21356, 50968}, {21358, 51216}, {25055, 51079}, {28208, 50813}, {34628, 34641}, {34632, 34747}, {36836, 42588}, {36843, 42589}, {36967, 42804}, {36968, 42803}, {36969, 43869}, {36970, 43870}, {36990, 50972}, {37640, 43106}, {37641, 43105}, {41112, 42939}, {41113, 42938}, {41119, 43479}, {41120, 43480}, {42143, 43553}, {42146, 43552}, {42157, 42636}, {42158, 42635}, {42159, 42797}, {42160, 43012}, {42161, 43013}, {42162, 42798}, {42262, 42537}, {42265, 42538}, {42413, 52046}, {42414, 52045}, {42524, 43524}, {42525, 43523}, {42532, 42612}, {42533, 42613}, {42602, 43507}, {42603, 43508}, {42629, 43230}, {42630, 43231}, {42637, 43210}, {42638, 43209}, {43002, 43201}, {43003, 43202}, {43022, 43485}, {43023, 43486}, {43211, 43521}, {43212, 43522}, {43256, 43512}, {43257, 43511}, {43416, 43487}, {43417, 43488}, {43418, 43465}, {43419, 43466}, {43632, 49824}, {43633, 49825}, {44882, 51028}, {47352, 51134}, {48310, 51029}, {48885, 50967}, {48892, 54132}, {50812, 53620}, {50958, 55622}, {50964, 55669}, {50971, 51212}, {50994, 55626}, {51081, 51118}, {51135, 55722}, {51176, 55584}, {54170, 59411}

X(62122) = midpoint of X(i) and X(j) for these {i,j}: {3090, 11001}, {15681, 15700}
X(62122) = reflection of X(i) in X(j) for these {i,j}: {16192, 51083}, {2, 3528}, {3525, 6891}, {3526, 8703}, {3832, 15698}, {4, 15701}, {50867, 7989}, {50964, 55669}, {50994, 55626}, {6848, 5070}
X(62122) = anticomplement of X(61980)
X(62122) = pole of line {69, 62153} with respect to the Wallace hyperbola
X(62122) = intersection, other than A, B, C, of circumconics {{A, B, C, X(253), X(14269)}}, {{A, B, C, X(1294), X(41106)}}, {{A, B, C, X(1494), X(50688)}}, {{A, B, C, X(3839), X(57897)}}, {{A, B, C, X(3858), X(51348)}}, {{A, B, C, X(12102), X(31361)}}, {{A, B, C, X(14093), X(18850)}}
X(62122) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10299, 15708}, {2, 15707, 10303}, {2, 3146, 14269}, {2, 3522, 15710}, {2, 382, 3839}, {3, 11540, 3524}, {4, 376, 14093}, {20, 10303, 1657}, {20, 15692, 15683}, {20, 15696, 7486}, {20, 15697, 10304}, {30, 15698, 3832}, {30, 15701, 4}, {30, 5070, 6848}, {30, 6891, 3525}, {30, 8703, 3526}, {376, 11001, 549}, {376, 15683, 15692}, {376, 15715, 15688}, {376, 17538, 15691}, {376, 5071, 8703}, {546, 550, 15696}, {548, 15682, 15705}, {550, 17504, 15690}, {3146, 6931, 546}, {3526, 3850, 3090}, {3528, 3529, 3851}, {3534, 15689, 12103}, {3534, 15693, 6958}, {3543, 10304, 15721}, {3543, 15721, 3091}, {8703, 12100, 6926}, {8703, 14269, 10299}, {10124, 15701, 15702}, {10299, 14269, 2}, {10299, 15687, 17564}, {11001, 15689, 3522}, {11001, 15710, 382}, {12103, 15689, 11001}, {14093, 15690, 376}, {15681, 15687, 3529}, {15681, 15688, 15687}, {15681, 15700, 30}, {15682, 15705, 5056}, {15683, 15686, 20}, {15683, 15692, 3543}, {15684, 15710, 16401}, {15687, 15688, 15715}, {15692, 15702, 3523}, {15692, 15708, 15718}, {15695, 15704, 3545}, {15700, 15703, 14869}, {16371, 17534, 16417}, {43002, 43201, 43238}, {48873, 50975, 5032}

X(62123) = X(2)X(3)∩X(6)X(43634)

X(62123) lies on these lines: {2, 3}, {6, 43634}, {141, 55640}, {397, 43244}, {398, 43245}, {516, 61278}, {517, 61290}, {575, 50971}, {1503, 55612}, {3070, 6486}, {3071, 6487}, {3564, 48885}, {3579, 61249}, {3590, 43521}, {3591, 43522}, {3767, 11742}, {4297, 11278}, {4301, 28216}, {4316, 15888}, {4324, 37722}, {4325, 15338}, {4330, 15172}, {5041, 6781}, {5097, 48892}, {5102, 48873}, {5237, 42497}, {5238, 42496}, {5319, 44519}, {5349, 42430}, {5350, 42429}, {5351, 43417}, {5352, 43416}, {5462, 55286}, {5480, 55685}, {5663, 15606}, {5690, 61248}, {5844, 31730}, {6361, 61597}, {6429, 6560}, {6430, 6561}, {6431, 42260}, {6432, 42261}, {6433, 42226}, {6434, 42225}, {6445, 43889}, {6446, 43890}, {6449, 31414}, {6453, 43209}, {6454, 43210}, {6455, 42414}, {6456, 42413}, {6480, 7583}, {6481, 7584}, {6484, 31454}, {6485, 42266}, {6496, 52667}, {6497, 52666}, {7354, 51817}, {7747, 15602}, {8718, 40111}, {8960, 43887}, {9680, 13925}, {9681, 42216}, {9706, 37477}, {9729, 58533}, {10143, 43386}, {10144, 43387}, {10222, 34638}, {10627, 14641}, {11180, 55620}, {11362, 28224}, {11522, 50820}, {11531, 34773}, {11542, 43633}, {11543, 43632}, {11592, 44870}, {12512, 28186}, {12571, 58219}, {12702, 61297}, {12816, 42959}, {12817, 42958}, {13340, 45957}, {13392, 38726}, {13491, 36987}, {13624, 28182}, {13993, 42263}, {14531, 14855}, {14677, 23236}, {15069, 55607}, {15171, 37587}, {15178, 50815}, {15311, 32903}, {16200, 61282}, {16528, 48915}, {16772, 42100}, {16773, 42099}, {16836, 58531}, {16964, 42585}, {16965, 42584}, {18357, 31447}, {18358, 48896}, {18553, 51025}, {18583, 55691}, {20379, 37853}, {20582, 55650}, {21850, 55703}, {22165, 55611}, {22392, 48916}, {22791, 30392}, {28154, 61272}, {28160, 61255}, {28172, 61259}, {28174, 33179}, {28178, 31662}, {28190, 31663}, {29012, 55636}, {29181, 50664}, {29317, 55688}, {31406, 44541}, {31417, 53095}, {31425, 38042}, {31487, 42638}, {33543, 61150}, {33697, 61614}, {33751, 55680}, {34380, 48881}, {34754, 42088}, {34755, 42087}, {35237, 51959}, {35242, 61258}, {35255, 41954}, {35256, 41953}, {36836, 43428}, {36843, 43429}, {36967, 41972}, {36968, 41971}, {37517, 44882}, {38155, 61524}, {39561, 48880}, {40107, 48891}, {41955, 41970}, {41956, 41969}, {41967, 43879}, {41968, 43880}, {42085, 43327}, {42086, 43326}, {42090, 43193}, {42091, 43194}, {42096, 42628}, {42097, 42627}, {42108, 42489}, {42109, 42488}, {42122, 42148}, {42123, 42147}, {42126, 43198}, {42127, 43197}, {42135, 42491}, {42138, 42490}, {42144, 42153}, {42145, 42156}, {42163, 43200}, {42164, 42528}, {42165, 42529}, {42166, 43199}, {42415, 42934}, {42416, 42935}, {42629, 42687}, {42630, 42686}, {42692, 56608}, {42693, 56609}, {42777, 42965}, {42778, 42964}, {42791, 42992}, {42792, 42993}, {42813, 42889}, {42814, 42888}, {42942, 42966}, {42943, 42967}, {42954, 43871}, {42955, 43872}, {42984, 43477}, {42985, 43478}, {43294, 43873}, {43295, 43874}, {43785, 52045}, {43786, 52046}, {43888, 58866}, {46264, 55591}, {47354, 55644}, {48872, 55699}, {48874, 55582}, {48876, 55618}, {48879, 55683}, {48898, 55603}, {48905, 55622}, {48906, 55722}, {48920, 51732}, {50978, 55602}, {51127, 55664}, {51128, 55662}, {51165, 55679}, {51214, 55580}, {58237, 61281}, {58248, 61289}, {61252, 61510}

X(62123) = midpoint of X(i) and X(j) for these {i,j}: {20, 548}, {140, 15704}, {546, 1657}, {547, 11001}, {550, 12103}, {3534, 15691}, {6361, 61597}, {10627, 14641}, {12100, 15681}, {12101, 15683}, {15686, 15690}, {18358, 48896}, {48905, 61545}
X(62123) = reflection of X(i) in X(j) for these {i,j}: {10124, 8703}, {11737, 15759}, {12102, 140}, {12571, 58219}, {13392, 38726}, {15687, 11540}, {15759, 376}, {382, 3856}, {3530, 548}, {3850, 3}, {3853, 16239}, {3860, 14891}, {3861, 3530}, {4, 12108}, {44870, 11592}, {5462, 55286}
X(62123) = complement of X(62034)
X(62123) = pole of line {185, 11539} with respect to the Jerabek hyperbola
X(62123) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(15640)}}, {{A, B, C, X(1105), X(11539)}}, {{A, B, C, X(3521), X(23046)}}, {{A, B, C, X(3522), X(43970)}}, {{A, B, C, X(14861), X(44904)}}, {{A, B, C, X(15719), X(60007)}}
X(62123) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15702, 15712}, {3, 16239, 3530}, {3, 1656, 15719}, {3, 1657, 3543}, {3, 30, 3850}, {3, 382, 5067}, {3, 3850, 11812}, {3, 4, 11539}, {3, 5056, 549}, {3, 5059, 3845}, {3, 550, 15690}, {4, 12108, 10109}, {4, 17678, 5072}, {5, 550, 15696}, {20, 15696, 5}, {20, 3528, 17800}, {20, 376, 382}, {20, 382, 15704}, {20, 3832, 11001}, {20, 550, 548}, {20, 631, 1657}, {30, 11540, 15687}, {30, 140, 12102}, {30, 14891, 3860}, {30, 16239, 3853}, {30, 3530, 3861}, {30, 376, 15759}, {30, 8703, 10124}, {140, 11737, 3628}, {140, 12102, 11737}, {140, 15693, 12108}, {140, 382, 3856}, {140, 5067, 16239}, {140, 546, 5055}, {376, 11001, 15708}, {376, 15685, 17504}, {376, 5055, 8703}, {547, 3853, 3832}, {548, 12103, 20}, {550, 17538, 15691}, {550, 3534, 12103}, {632, 5073, 14893}, {1657, 15722, 3146}, {1657, 5055, 11541}, {1657, 8703, 546}, {3091, 16418, 3090}, {3146, 15712, 5066}, {3522, 15681, 3627}, {3522, 3545, 3}, {3522, 3627, 12100}, {3523, 12812, 11540}, {3523, 15687, 12812}, {3526, 3627, 3859}, {3530, 10124, 631}, {3545, 6958, 15686}, {3830, 16417, 3858}, {3845, 15704, 5059}, {3845, 15708, 547}, {3845, 17504, 15723}, {3854, 6906, 381}, {3857, 15714, 15720}, {3859, 12100, 3526}, {4190, 17542, 13735}, {5073, 10304, 632}, {5076, 10299, 15699}, {10109, 15759, 15693}, {12100, 15681, 30}, {12102, 15759, 140}, {12103, 15691, 550}, {12108, 12811, 1010}, {13340, 52093, 45957}, {13741, 15640, 4}, {14784, 14785, 15640}, {15682, 15720, 3857}, {15689, 15693, 376}, {15696, 17800, 3528}, {42433, 42890, 34755}, {42434, 42891, 34754}, {43634, 43635, 6}

X(62124) = X(2)X(3)∩X(6)X(43495)

X(62124) lies on these lines: {2, 3}, {6, 43495}, {8, 59420}, {40, 20052}, {99, 32879}, {145, 5493}, {193, 59411}, {489, 51953}, {490, 51952}, {576, 50975}, {1352, 55630}, {1992, 51135}, {1993, 16936}, {3241, 51080}, {3600, 8162}, {3617, 12512}, {3621, 9778}, {3623, 4297}, {3785, 32882}, {4294, 37602}, {4314, 5558}, {4324, 14986}, {4678, 37712}, {4821, 30271}, {5304, 44519}, {5318, 43479}, {5321, 43480}, {5343, 42099}, {5344, 42100}, {5365, 10646}, {5366, 10645}, {5550, 28158}, {5882, 20070}, {5921, 55608}, {5984, 10992}, {6409, 53517}, {6410, 53520}, {6468, 42638}, {6469, 42637}, {6470, 42259}, {6471, 42258}, {6776, 55585}, {7691, 41467}, {7768, 32840}, {7802, 32825}, {7860, 32831}, {7871, 32841}, {7904, 60285}, {7991, 20049}, {8142, 26777}, {8550, 61044}, {8972, 42414}, {9589, 50815}, {9681, 43256}, {9692, 35822}, {9841, 23958}, {10222, 50819}, {10248, 58221}, {10513, 32820}, {10519, 48891}, {10574, 16981}, {10990, 14683}, {10991, 20094}, {11480, 22235}, {11481, 22237}, {11488, 42794}, {11489, 42793}, {11742, 37689}, {12002, 15045}, {12174, 35253}, {12250, 45185}, {12279, 33884}, {12324, 15108}, {12632, 34626}, {13941, 42413}, {14853, 48920}, {15516, 48880}, {15520, 48892}, {16192, 46932}, {18553, 55638}, {18581, 43636}, {18582, 43637}, {19106, 42959}, {19107, 42958}, {20014, 31730}, {20081, 22676}, {20096, 33521}, {22615, 42557}, {22644, 42558}, {23302, 43473}, {23303, 43474}, {25555, 33750}, {28164, 46933}, {29012, 55635}, {29317, 55689}, {31145, 50814}, {31454, 43411}, {31663, 61257}, {31670, 55693}, {32815, 32894}, {32816, 32895}, {34507, 55615}, {35242, 54448}, {35820, 42540}, {35821, 42539}, {36967, 42995}, {36968, 42994}, {36987, 52093}, {41963, 43376}, {41964, 43377}, {42090, 42998}, {42091, 42999}, {42096, 43870}, {42097, 43869}, {42108, 42774}, {42109, 42773}, {42122, 43242}, {42123, 43243}, {42140, 42944}, {42141, 42945}, {42149, 43011}, {42152, 43010}, {42160, 43032}, {42161, 43033}, {42271, 43561}, {42272, 43560}, {42429, 42909}, {42430, 42908}, {42494, 42693}, {42495, 42692}, {42584, 42988}, {42585, 42989}, {42586, 49862}, {42587, 49861}, {42598, 51945}, {42599, 51944}, {42686, 43772}, {42687, 43771}, {43407, 51911}, {43408, 51910}, {43681, 47586}, {44882, 51170}, {46264, 55590}, {48872, 51171}, {48873, 55716}, {48885, 55596}, {48898, 55601}, {51023, 55626}, {51092, 58245}, {51118, 61271}, {51136, 53097}, {59417, 61244}, {60118, 60145}, {60328, 60647}

X(62124) = midpoint of X(i) and X(j) for these {i,j}: {15681, 15716}
X(62124) = reflection of X(i) in X(j) for these {i,j}: {15723, 8703}, {3855, 3}, {4, 15720}
X(62124) = anticomplement of X(50689)
X(62124) = pole of line {185, 61856} with respect to the Jerabek hyperbola
X(62124) = pole of line {6, 60291} with respect to the Kiepert hyperbola
X(62124) = pole of line {69, 62152} with respect to the Wallace hyperbola
X(62124) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(3855)}}, {{A, B, C, X(3346), X(3843)}}, {{A, B, C, X(3519), X(49137)}}, {{A, B, C, X(3543), X(52441)}}, {{A, B, C, X(3832), X(51348)}}, {{A, B, C, X(3853), X(16251)}}, {{A, B, C, X(4846), X(12811)}}, {{A, B, C, X(5079), X(14861)}}, {{A, B, C, X(7714), X(60324)}}, {{A, B, C, X(12103), X(42021)}}, {{A, B, C, X(14841), X(49134)}}, {{A, B, C, X(15696), X(26861)}}, {{A, B, C, X(15740), X(46936)}}, {{A, B, C, X(18846), X(49133)}}, {{A, B, C, X(18850), X(33923)}}, {{A, B, C, X(19708), X(60618)}}, {{A, B, C, X(35502), X(57730)}}, {{A, B, C, X(35510), X(50690)}}, {{A, B, C, X(43699), X(50688)}}
X(62124) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15682, 7486}, {3, 15683, 17578}, {3, 15721, 15717}, {3, 17578, 2}, {3, 20, 15683}, {3, 30, 3855}, {3, 382, 15699}, {3, 3855, 15721}, {3, 3861, 15709}, {4, 15720, 5056}, {20, 15690, 15022}, {20, 15696, 3832}, {20, 15697, 3}, {20, 3091, 11001}, {20, 3523, 1657}, {20, 3543, 15704}, {20, 550, 3522}, {30, 15720, 4}, {30, 8703, 15723}, {140, 550, 15696}, {376, 11001, 5054}, {548, 5073, 10299}, {550, 15686, 140}, {1657, 3146, 5059}, {1657, 3522, 3854}, {1657, 3523, 3146}, {3091, 5054, 13735}, {3146, 15705, 5}, {3146, 3522, 3523}, {3146, 3832, 3830}, {3522, 15683, 5068}, {3523, 5056, 3525}, {3528, 15704, 3543}, {3529, 15686, 20}, {3529, 15696, 10304}, {3855, 5071, 5072}, {5073, 10299, 3091}, {6825, 17800, 5076}, {8972, 42414, 43519}, {10124, 15682, 3839}, {10299, 11001, 5073}, {12100, 15689, 376}, {13742, 15717, 631}, {13941, 42413, 43520}, {15681, 15716, 30}, {15686, 15696, 3529}, {15689, 15704, 3528}, {42108, 42774, 42776}, {42109, 42773, 42775}, {42568, 42570, 8972}, {42569, 42571, 13941}, {43495, 43496, 6}

X(62125) = X(2)X(3)∩X(3070)X(6488)

X(62125) lies on these lines: {2, 3}, {1125, 58225}, {1352, 55628}, {3068, 10147}, {3069, 10148}, {3070, 6488}, {3071, 6489}, {3244, 20070}, {3311, 43788}, {3312, 43787}, {3620, 55626}, {3623, 58240}, {3629, 59411}, {3631, 14927}, {3632, 9778}, {4297, 16189}, {5343, 42528}, {5344, 42529}, {5349, 51944}, {5350, 51945}, {5351, 42630}, {5352, 42629}, {5418, 42604}, {5420, 42605}, {5493, 34747}, {5656, 32903}, {5921, 55606}, {6329, 48872}, {6431, 43383}, {6432, 43382}, {6447, 43321}, {6448, 43320}, {6453, 43407}, {6454, 43408}, {6519, 23267}, {6522, 23273}, {6560, 9543}, {6776, 55583}, {7991, 20050}, {8717, 9545}, {8976, 42540}, {9540, 43519}, {9812, 15808}, {10519, 55623}, {11008, 53097}, {12121, 38626}, {12632, 34620}, {12820, 42936}, {12821, 42937}, {13202, 15023}, {13846, 43785}, {13847, 43786}, {13935, 43520}, {13951, 42539}, {14023, 53141}, {14853, 55698}, {17852, 42637}, {19106, 42947}, {19107, 42946}, {20054, 31730}, {20080, 52987}, {20127, 38632}, {22234, 48892}, {22236, 43106}, {22238, 43105}, {22330, 48880}, {25406, 53858}, {28150, 46934}, {31670, 55694}, {33750, 48879}, {35369, 51523}, {35510, 57823}, {35812, 60291}, {35813, 60292}, {35822, 43523}, {35823, 43524}, {36836, 43465}, {36843, 43466}, {36967, 43496}, {36968, 43495}, {36969, 42798}, {36970, 42797}, {38627, 38730}, {38628, 38741}, {38629, 38753}, {38630, 38765}, {39874, 55595}, {40107, 50969}, {40330, 55644}, {42112, 43295}, {42113, 43294}, {42144, 43488}, {42145, 43487}, {42149, 42996}, {42152, 42997}, {42157, 42613}, {42158, 42612}, {42163, 43870}, {42166, 43869}, {42413, 53516}, {42414, 53513}, {42433, 43486}, {42434, 43485}, {42584, 42982}, {42585, 42983}, {42625, 43770}, {42626, 43769}, {42635, 49826}, {42636, 49827}, {42638, 43883}, {42920, 43553}, {42921, 43552}, {42944, 43541}, {42945, 43540}, {43621, 55679}, {46264, 55588}, {48873, 51170}, {48885, 55600}, {48891, 55617}, {48898, 55597}, {48920, 55704}, {50863, 61258}, {51095, 58242}, {51538, 55684}

X(62125) = anticomplement of X(61982)
X(62125) = pole of line {185, 61863} with respect to the Jerabek hyperbola
X(62125) = pole of line {69, 62149} with respect to the Wallace hyperbola
X(62125) = intersection, other than A, B, C, of circumconics {{A, B, C, X(382), X(35510)}}, {{A, B, C, X(3146), X(57823)}}, {{A, B, C, X(3346), X(3845)}}, {{A, B, C, X(3854), X(31371)}}, {{A, B, C, X(5076), X(16251)}}, {{A, B, C, X(15077), X(50691)}}, {{A, B, C, X(15740), X(46935)}}, {{A, B, C, X(18296), X(50687)}}, {{A, B, C, X(18850), X(46853)}}
X(62125) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3529, 3146}, {2, 5059, 382}, {3, 11541, 3091}, {3, 12811, 631}, {3, 15704, 11541}, {3, 3146, 15022}, {4, 12108, 13727}, {20, 10304, 1657}, {20, 15697, 4}, {20, 3091, 15704}, {20, 3522, 15683}, {20, 3523, 11001}, {20, 376, 5059}, {376, 11001, 5055}, {376, 15685, 15708}, {376, 15717, 3522}, {376, 3845, 10304}, {376, 5059, 15717}, {382, 15693, 3851}, {382, 15704, 3529}, {550, 15681, 3528}, {1657, 10304, 17578}, {1657, 15696, 15716}, {3091, 10303, 5067}, {3522, 15022, 3}, {3522, 15683, 3832}, {3522, 3832, 15705}, {3528, 3529, 546}, {3529, 17538, 550}, {3534, 12103, 17538}, {3534, 6958, 8703}, {3627, 15716, 3090}, {3851, 3860, 3855}, {5076, 6958, 12103}, {5079, 10299, 10303}, {5418, 43560, 42604}, {5420, 43561, 42605}, {6827, 17800, 381}, {6847, 15682, 3830}, {10691, 11113, 11114}, {11001, 15696, 3523}, {11737, 15708, 2}, {11737, 16863, 16371}, {12103, 17538, 20}, {15685, 15688, 11737}, {15686, 15691, 15694}, {15688, 15699, 15710}, {15689, 15759, 376}, {16370, 16417, 11108}, {16370, 16862, 16858}

X(62126) = X(2)X(3)∩X(61)X(43639)

X(62126) lies on these lines: {2, 3}, {61, 43639}, {62, 43640}, {141, 55638}, {165, 61255}, {1353, 59411}, {1503, 55608}, {3579, 61251}, {4297, 61283}, {4317, 8162}, {4330, 37602}, {5237, 42778}, {5238, 42777}, {5318, 43648}, {5321, 43647}, {5351, 43017}, {5352, 43016}, {5480, 55686}, {5690, 59420}, {5734, 28216}, {5965, 48881}, {6468, 7583}, {6469, 7584}, {6470, 42260}, {6471, 42261}, {6781, 9607}, {9588, 38138}, {9681, 19117}, {9693, 18512}, {10645, 42530}, {10646, 42531}, {11224, 61286}, {11362, 61245}, {11482, 50975}, {11522, 50832}, {11592, 32062}, {12161, 16936}, {12512, 38112}, {12565, 19907}, {13925, 42414}, {13993, 42413}, {14641, 15606}, {15516, 48892}, {15520, 48880}, {16772, 42145}, {16773, 42144}, {16960, 43633}, {16961, 43632}, {18481, 61297}, {21850, 48920}, {22251, 34584}, {28164, 31447}, {28168, 31399}, {28178, 61276}, {28190, 37714}, {28228, 34773}, {28234, 61295}, {29012, 55634}, {29181, 55710}, {29317, 55690}, {31450, 44541}, {31454, 42226}, {31487, 43407}, {31492, 43618}, {33749, 44882}, {33751, 38136}, {38110, 48879}, {39884, 55635}, {40107, 55625}, {40693, 42584}, {40694, 42585}, {42087, 42991}, {42088, 42990}, {42090, 43631}, {42091, 43630}, {42112, 42491}, {42113, 42490}, {42117, 42433}, {42118, 42434}, {42122, 43193}, {42123, 43194}, {42157, 42634}, {42158, 42633}, {42225, 51910}, {42429, 42598}, {42430, 42599}, {42684, 42939}, {42685, 42938}, {42793, 42972}, {42794, 42973}, {44015, 56609}, {44016, 56608}, {48872, 59399}, {48874, 55585}, {48876, 48891}, {48885, 55601}, {48898, 55596}, {48906, 55720}, {50811, 61290}, {50959, 55675}, {50972, 55644}, {50980, 55650}, {50986, 55580}, {50991, 55628}, {58217, 61266}, {58239, 61284}

X(62126) = midpoint of X(i) and X(j) for these {i,j}: {20, 15696}, {1657, 3091}, {11001, 15694}, {15704, 15712}
X(62126) = reflection of X(i) in X(j) for these {i,j}: {14093, 15690}, {15687, 15713}, {15697, 15691}, {15711, 376}, {382, 3859}, {3627, 1656}, {3845, 15692}, {3858, 3}, {549, 15695}, {550, 17538}, {5076, 140}, {631, 548}, {632, 3522}
X(62126) = complement of X(62035)
X(62126) = pole of line {185, 10124} with respect to the Jerabek hyperbola
X(62126) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1105), X(10124)}}, {{A, B, C, X(1294), X(3858)}}, {{A, B, C, X(3521), X(3860)}}, {{A, B, C, X(14269), X(15318)}}
X(62126) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15691, 550}, {3, 1657, 15682}, {3, 30, 3858}, {3, 382, 7486}, {3, 3839, 140}, {3, 3858, 15713}, {3, 4, 10124}, {5, 15686, 20}, {5, 20, 15704}, {5, 3530, 11539}, {20, 15697, 17578}, {20, 15717, 11001}, {20, 17538, 15696}, {20, 3528, 1657}, {20, 376, 17800}, {20, 550, 5}, {30, 140, 5076}, {30, 15690, 14093}, {30, 15691, 15697}, {30, 15692, 3845}, {30, 15695, 549}, {30, 1656, 3627}, {30, 3522, 632}, {30, 376, 15711}, {30, 3859, 382}, {30, 548, 631}, {376, 11539, 8703}, {382, 631, 3859}, {382, 7486, 3861}, {550, 12103, 15686}, {550, 3627, 376}, {631, 15696, 548}, {631, 3091, 5070}, {632, 3522, 15714}, {632, 3858, 5071}, {1656, 14269, 3091}, {1657, 15685, 6968}, {1657, 3528, 3853}, {2041, 2042, 14269}, {3522, 5071, 3}, {3528, 14269, 3530}, {3529, 11541, 6996}, {3627, 15711, 1656}, {3839, 10124, 6846}, {3843, 15696, 3522}, {3861, 5066, 3832}, {5059, 15688, 3628}, {5071, 17578, 3843}, {5073, 12100, 3857}, {10299, 15684, 12811}, {10299, 16052, 15720}, {11001, 15694, 30}, {11539, 15687, 5066}, {11541, 15720, 14893}, {15681, 15689, 15722}, {15682, 15697, 15695}, {15686, 15691, 15687}, {15686, 17538, 15712}

X(62127) = X(2)X(3)∩X(40)X(4701)

X(62127) lies on these lines: {2, 3}, {15, 42927}, {16, 42926}, {17, 42141}, {18, 42140}, {40, 4701}, {61, 43481}, {62, 43482}, {69, 48885}, {325, 32891}, {944, 5493}, {1056, 15338}, {1058, 15326}, {1131, 6455}, {1132, 6456}, {1352, 55627}, {1503, 55607}, {1587, 6437}, {1588, 6438}, {1975, 32890}, {2979, 14641}, {3068, 6484}, {3069, 6485}, {3070, 6433}, {3071, 6434}, {3316, 52667}, {3317, 52666}, {3592, 43256}, {3594, 43257}, {3618, 55688}, {3619, 29323}, {3622, 28178}, {3818, 55645}, {4297, 16200}, {4324, 37587}, {4325, 10385}, {5041, 14482}, {5097, 25406}, {5102, 44882}, {5237, 43204}, {5238, 43203}, {5254, 11742}, {5270, 51817}, {5339, 42970}, {5340, 42971}, {5343, 11481}, {5344, 11480}, {5365, 42096}, {5366, 42097}, {5485, 7780}, {5731, 33179}, {5878, 32903}, {5882, 6361}, {6200, 23269}, {6241, 36987}, {6337, 7860}, {6396, 23275}, {6411, 23253}, {6412, 23263}, {6425, 43209}, {6426, 43210}, {6429, 43407}, {6430, 43408}, {6431, 42259}, {6432, 42258}, {6459, 35770}, {6460, 35771}, {6480, 23267}, {6481, 23273}, {6482, 35822}, {6483, 35823}, {6486, 8960}, {6487, 43510}, {6776, 55582}, {6781, 7738}, {7581, 42260}, {7582, 42261}, {7750, 32824}, {7755, 46453}, {7768, 32817}, {7782, 32823}, {7802, 32818}, {7830, 18840}, {7967, 11278}, {7982, 34638}, {7991, 50818}, {8164, 10483}, {8550, 55722}, {8717, 34148}, {8718, 37480}, {8981, 43376}, {9543, 18512}, {9624, 50820}, {9693, 32787}, {9780, 28168}, {9862, 10992}, {10519, 55622}, {10625, 52093}, {10653, 42891}, {10654, 42890}, {10721, 38792}, {10722, 38746}, {10723, 38735}, {10727, 38770}, {10728, 38758}, {10732, 38782}, {10733, 38725}, {10984, 43576}, {10990, 12383}, {10991, 13172}, {10993, 12248}, {11160, 55595}, {11180, 55614}, {11362, 50809}, {11381, 54041}, {11488, 42431}, {11489, 42432}, {11738, 42021}, {12244, 30714}, {12245, 31730}, {12250, 44762}, {12253, 14900}, {12290, 13348}, {12317, 16111}, {12512, 38155}, {12632, 34740}, {12699, 31662}, {12818, 42558}, {12819, 42557}, {13464, 30392}, {13886, 41963}, {13939, 41964}, {13966, 43377}, {14226, 35813}, {14241, 35812}, {14561, 55683}, {14853, 55699}, {14907, 32822}, {14912, 37517}, {14927, 34507}, {15105, 34781}, {15602, 43618}, {15740, 34567}, {16192, 28172}, {16241, 42909}, {16242, 42908}, {18439, 33884}, {18553, 55636}, {19106, 42494}, {19107, 42495}, {20125, 38723}, {20427, 45185}, {21356, 55631}, {21740, 43178}, {22235, 42127}, {22237, 42126}, {25555, 48879}, {27355, 55166}, {29012, 55633}, {29181, 55711}, {29317, 55691}, {30264, 35514}, {31400, 44541}, {31414, 43413}, {31425, 34648}, {31487, 43386}, {31670, 55695}, {33534, 54434}, {33602, 41943}, {33603, 41944}, {33750, 48910}, {33751, 43621}, {34754, 42090}, {34755, 42091}, {34785, 54050}, {35814, 43524}, {35815, 43523}, {35820, 43432}, {35821, 43433}, {37640, 41974}, {37641, 41973}, {38021, 51079}, {38072, 51134}, {38074, 50812}, {38802, 44987}, {39561, 48892}, {39874, 48898}, {41100, 42995}, {41101, 42994}, {41112, 43426}, {41113, 43427}, {41977, 43011}, {41978, 43010}, {42085, 42981}, {42086, 42980}, {42087, 42999}, {42088, 42998}, {42089, 42776}, {42092, 42775}, {42099, 42149}, {42100, 42152}, {42104, 42937}, {42105, 42936}, {42119, 42151}, {42120, 42150}, {42133, 43239}, {42134, 43238}, {42136, 43870}, {42137, 43869}, {42139, 43446}, {42142, 43447}, {42153, 42793}, {42156, 42794}, {42159, 42961}, {42160, 42528}, {42161, 42529}, {42162, 42960}, {42225, 43890}, {42226, 43889}, {42490, 43401}, {42491, 43402}, {42537, 42603}, {42538, 42602}, {42584, 42806}, {42585, 42805}, {42586, 42791}, {42587, 42792}, {42682, 56608}, {42683, 56609}, {42684, 43773}, {42685, 43774}, {42988, 43465}, {42989, 43466}, {43174, 59388}, {43422, 49874}, {43423, 49873}, {43459, 52718}, {43485, 43777}, {43486, 43778}, {46264, 55587}, {48872, 55703}, {48881, 55591}, {48896, 55640}, {48901, 55680}, {48905, 55618}, {48920, 50664}, {50819, 51120}, {50966, 51027}, {50968, 51025}, {50969, 55626}, {50971, 53093}, {50974, 53097}, {50975, 51166}, {51176, 51214}, {51537, 55649}

X(62127) = midpoint of X(i) and X(j) for these {i,j}: {1657, 3851}, {11001, 15702}
X(62127) = reflection of X(i) in X(j) for these {i,j}: {14869, 548}, {15698, 376}, {15703, 8703}, {382, 3857}, {3090, 3528}, {3832, 3}, {4, 3523}
X(62127) = anticomplement of X(61984)
X(62127) = pole of line {185, 3533} with respect to the Jerabek hyperbola
X(62127) = pole of line {69, 15704} with respect to the Wallace hyperbola
X(62127) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(49136)}}, {{A, B, C, X(69), X(15704)}}, {{A, B, C, X(74), X(55578)}}, {{A, B, C, X(550), X(18849)}}, {{A, B, C, X(1105), X(3533)}}, {{A, B, C, X(1294), X(3832)}}, {{A, B, C, X(1593), X(34567)}}, {{A, B, C, X(1656), X(18852)}}, {{A, B, C, X(3519), X(17800)}}, {{A, B, C, X(3523), X(18851)}}, {{A, B, C, X(3532), X(55572)}}, {{A, B, C, X(3534), X(42021)}}, {{A, B, C, X(3627), X(15749)}}, {{A, B, C, X(3628), X(15740)}}, {{A, B, C, X(3839), X(51348)}}, {{A, B, C, X(3857), X(31371)}}, {{A, B, C, X(3860), X(6662)}}, {{A, B, C, X(4846), X(5072)}}, {{A, B, C, X(5055), X(14861)}}, {{A, B, C, X(5059), X(18847)}}, {{A, B, C, X(5068), X(18853)}}, {{A, B, C, X(5198), X(57715)}}, {{A, B, C, X(5897), X(38438)}}, {{A, B, C, X(10594), X(11738)}}, {{A, B, C, X(11270), X(35479)}}, {{A, B, C, X(11403), X(14483)}}, {{A, B, C, X(11410), X(57713)}}, {{A, B, C, X(12100), X(54660)}}, {{A, B, C, X(14528), X(55575)}}, {{A, B, C, X(15685), X(54667)}}, {{A, B, C, X(15697), X(60122)}}, {{A, B, C, X(15708), X(40448)}}, {{A, B, C, X(18850), X(21735)}}, {{A, B, C, X(35501), X(43908)}}
X(62127) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 20, 15704}, {3, 11812, 15717}, {3, 15686, 20}, {3, 15723, 3530}, {3, 20, 11001}, {3, 30, 3832}, {3, 3543, 5067}, {3, 3545, 631}, {3, 382, 547}, {3, 3832, 15702}, {3, 4, 3533}, {3, 5, 15708}, {4, 11001, 5059}, {4, 15711, 13725}, {4, 17538, 550}, {4, 3524, 1656}, {4, 5067, 3850}, {20, 15689, 11541}, {20, 15697, 3146}, {20, 17538, 376}, {20, 3146, 15681}, {20, 3522, 1657}, {20, 3534, 17538}, {20, 376, 3529}, {30, 3528, 3090}, {30, 376, 15698}, {30, 3857, 382}, {30, 548, 14869}, {30, 8703, 15703}, {376, 10299, 3522}, {376, 15682, 15710}, {376, 15696, 16434}, {376, 15709, 8703}, {376, 3090, 3528}, {382, 10304, 3525}, {382, 15701, 3857}, {382, 15712, 5068}, {548, 12811, 15714}, {549, 17578, 3544}, {631, 3529, 15682}, {1656, 3146, 4}, {2043, 2044, 15697}, {3090, 3832, 3545}, {3146, 15697, 548}, {3146, 3524, 3855}, {3522, 5056, 3}, {3522, 5059, 5056}, {3627, 15717, 5071}, {3832, 5056, 3851}, {3853, 12811, 3845}, {5068, 10304, 15712}, {5076, 12100, 7486}, {6200, 42414, 23269}, {6396, 42413, 23275}, {7581, 43788, 42260}, {7582, 43787, 42261}, {8703, 17800, 3091}, {11001, 15690, 15719}, {11001, 15702, 30}, {13635, 15696, 10299}, {14813, 14814, 17800}, {15681, 15696, 12811}, {15681, 15697, 3524}, {15691, 15704, 15696}, {15696, 15704, 2}, {15701, 15712, 3523}, {15717, 17800, 1532}, {41963, 43785, 42264}, {41964, 43786, 42263}, {42085, 52080, 42987}, {42086, 52079, 42986}, {42096, 42944, 5365}, {42097, 42945, 5366}, {42267, 42638, 23267}

X(62128) = X(2)X(3)∩X(4325)X(6767)

X(62128) lies on these lines: {2, 3}, {3411, 42625}, {3412, 42626}, {3579, 61252}, {3626, 61248}, {3631, 48662}, {3636, 48661}, {4297, 61282}, {4325, 6767}, {4330, 7373}, {5050, 48920}, {5093, 48880}, {5493, 34748}, {5550, 58222}, {6144, 55584}, {6407, 42267}, {6408, 42266}, {6445, 51911}, {6446, 51910}, {6472, 43407}, {6473, 43408}, {6474, 18512}, {6475, 18510}, {6781, 43136}, {7584, 17851}, {8148, 61288}, {9589, 37624}, {9691, 31487}, {9698, 44541}, {10145, 42638}, {10146, 42637}, {11008, 48874}, {11485, 43250}, {11486, 43251}, {11645, 55620}, {12279, 54047}, {14530, 32903}, {15069, 48885}, {16644, 42798}, {16645, 42797}, {18525, 59420}, {18553, 50968}, {20057, 58238}, {20379, 38633}, {20477, 57897}, {20791, 58533}, {21309, 44519}, {21766, 33539}, {22236, 43485}, {22238, 43486}, {26864, 43599}, {29012, 55632}, {29317, 55692}, {29323, 55648}, {31666, 50820}, {32455, 48873}, {35021, 38733}, {35022, 38744}, {35023, 38756}, {35024, 38768}, {35812, 42578}, {35813, 42579}, {35822, 43258}, {35823, 43259}, {36836, 43418}, {36843, 43419}, {38034, 58226}, {38635, 52886}, {40107, 55624}, {40341, 44796}, {41973, 42636}, {41974, 42635}, {42090, 43106}, {42091, 43105}, {42096, 43297}, {42097, 43296}, {42099, 42928}, {42100, 42929}, {42115, 42938}, {42116, 42939}, {42153, 42630}, {42156, 42629}, {42429, 43238}, {42430, 43239}, {42433, 42436}, {42434, 42435}, {42488, 43195}, {42489, 43196}, {42528, 43032}, {42529, 43033}, {42580, 43249}, {42581, 43248}, {43193, 43234}, {43194, 43235}, {43230, 43491}, {43231, 43492}, {44456, 59411}, {48872, 55705}, {48891, 55610}, {48892, 53091}, {48896, 55639}, {48905, 55616}, {50976, 55687}, {51093, 58249}, {58233, 61278}, {58247, 61290}

X(62128) = midpoint of X(i) and X(j) for these {i,j}: {1657, 5072}, {11001, 15721}
X(62128) = reflection of X(i) in X(j) for these {i,j}: {15703, 6891}, {15716, 376}, {382, 3855}, {3830, 15723}
X(62128) = pole of line {185, 61864} with respect to the Jerabek hyperbola
X(62128) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3843), X(57897)}}, {{A, B, C, X(15722), X(60007)}}
X(62128) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10299, 12108}, {2, 15684, 14269}, {2, 17538, 550}, {2, 382, 3843}, {2, 3850, 5079}, {3, 15702, 6850}, {3, 16239, 6948}, {3, 1656, 15722}, {3, 1657, 15684}, {20, 15696, 17800}, {20, 17538, 548}, {20, 382, 15681}, {20, 550, 382}, {20, 631, 15704}, {30, 15723, 3830}, {30, 376, 15716}, {30, 6891, 15703}, {382, 15688, 3530}, {382, 15696, 3528}, {382, 15720, 3855}, {382, 3526, 546}, {546, 550, 376}, {548, 15686, 20}, {548, 3853, 14891}, {550, 3528, 15696}, {550, 3529, 15688}, {1657, 14093, 3627}, {1657, 15712, 5073}, {1657, 16434, 15694}, {1657, 17538, 15689}, {1657, 3534, 17538}, {3526, 5056, 5070}, {3528, 3855, 15717}, {3529, 15688, 3851}, {3830, 15717, 15973}, {3830, 6926, 11540}, {3843, 5070, 5072}, {3851, 15681, 3529}, {5079, 15720, 15723}, {11001, 15721, 30}, {11812, 13735, 3526}, {11812, 15700, 15707}, {12108, 15689, 6928}, {14269, 15681, 15685}, {14869, 15719, 15720}, {14893, 17504, 2}, {15686, 17538, 1657}, {15696, 17800, 3}, {15717, 17578, 5056}

X(62129) = X(2)X(3)∩X(395)X(42587)

X(62129) lies on these lines: {2, 3}, {355, 50813}, {395, 42587}, {396, 42586}, {542, 55598}, {946, 50820}, {1131, 52045}, {1132, 52046}, {1351, 51177}, {1352, 50969}, {1992, 59411}, {3241, 28228}, {3621, 31730}, {3623, 28194}, {3679, 59420}, {5032, 44882}, {5237, 49824}, {5238, 49825}, {5480, 50976}, {5731, 28232}, {5818, 50863}, {5921, 48885}, {5965, 55589}, {5984, 12117}, {6361, 32900}, {6409, 41952}, {6410, 41951}, {6411, 43507}, {6412, 43508}, {6455, 43434}, {6456, 43435}, {6494, 7581}, {6495, 7582}, {6776, 55581}, {6781, 14075}, {7735, 11742}, {7788, 32879}, {7802, 32841}, {7987, 51079}, {8227, 50873}, {8976, 43521}, {9542, 42226}, {9543, 32787}, {9692, 42525}, {9778, 28236}, {10248, 19883}, {10519, 55621}, {10645, 42512}, {10646, 42513}, {11179, 55717}, {11180, 55613}, {11645, 55619}, {12512, 53620}, {13846, 42414}, {13847, 42413}, {13951, 43522}, {14853, 55700}, {14907, 32869}, {14927, 50965}, {16192, 50862}, {16644, 42683}, {16645, 42682}, {16772, 42518}, {16773, 42519}, {18481, 20014}, {19875, 50816}, {19924, 50975}, {19925, 51083}, {20049, 28234}, {20052, 28204}, {20070, 50811}, {20080, 48881}, {20423, 48920}, {21358, 50972}, {28198, 50819}, {32006, 32881}, {33751, 51213}, {35369, 38749}, {38064, 48879}, {38076, 46930}, {38314, 50815}, {38747, 41135}, {40330, 51216}, {42090, 61719}, {42095, 43478}, {42096, 43541}, {42097, 43540}, {42098, 43477}, {42122, 43481}, {42123, 43482}, {42133, 42430}, {42134, 42429}, {42144, 43543}, {42145, 43542}, {42150, 49875}, {42151, 49876}, {42154, 42899}, {42155, 42898}, {42164, 49861}, {42165, 49862}, {42215, 43787}, {42216, 43788}, {42260, 43256}, {42261, 43257}, {42431, 49874}, {42432, 49873}, {42494, 43002}, {42495, 43003}, {42516, 42942}, {42517, 42943}, {42520, 42966}, {42521, 42967}, {42910, 43371}, {42911, 43370}, {43246, 43447}, {43247, 43446}, {43273, 61044}, {43326, 43428}, {43327, 43429}, {43376, 43785}, {43377, 43786}, {43401, 43473}, {43402, 43474}, {43407, 53130}, {43408, 53131}, {43769, 49947}, {43770, 49948}, {46264, 54174}, {48872, 50971}, {48873, 51028}, {48874, 50974}, {48880, 54132}, {48891, 54173}, {48892, 55712}, {48898, 50967}, {50956, 55655}, {50990, 55614}, {51022, 55651}, {51134, 53094}, {51178, 55587}, {60279, 60327}, {60286, 60324}

X(62129) = midpoint of X(i) and X(j) for these {i,j}: {20, 15697}, {631, 11001}, {5076, 15685}, {14093, 15681}, {15704, 15711}
X(62129) = reflection of X(i) in X(j) for these {i,j}: {1656, 8703}, {15682, 3843}, {15692, 376}, {15695, 550}, {15697, 17538}, {15713, 548}, {17538, 3534}, {17578, 2}, {2, 3522}, {381, 15714}, {3522, 15697}, {3543, 5071}, {3830, 632}, {3843, 15711}, {3859, 15759}, {4, 15693}, {5071, 14093}, {5076, 15713}, {50863, 5818}, {50873, 8227}, {50956, 55655}, {50990, 55614}, {51216, 40330}, {53094, 51134}, {631, 15695}, {7987, 51079}
X(62129) = anticomplement of X(61985)
X(62129) = pole of line {69, 50970} with respect to the Wallace hyperbola
X(62129) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1294), X(41099)}}, {{A, B, C, X(1494), X(17578)}}, {{A, B, C, X(4846), X(11737)}}, {{A, B, C, X(15687), X(16251)}}, {{A, B, C, X(18317), X(35403)}}, {{A, B, C, X(18850), X(34200)}}, {{A, B, C, X(19709), X(46455)}}, {{A, B, C, X(50687), X(52443)}}
X(62129) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 30, 17578}, {20, 10304, 11001}, {20, 3523, 15704}, {20, 376, 15683}, {30, 15693, 4}, {30, 15711, 3843}, {30, 15713, 5076}, {30, 15759, 3859}, {30, 17538, 15697}, {30, 3534, 17538}, {30, 376, 15692}, {30, 5071, 3543}, {30, 548, 15713}, {30, 550, 15695}, {30, 632, 3830}, {30, 8703, 1656}, {376, 15686, 20}, {376, 15702, 8703}, {376, 3529, 15702}, {376, 381, 10304}, {376, 5071, 14093}, {381, 15684, 3853}, {381, 547, 3544}, {550, 15681, 15715}, {631, 17538, 550}, {1656, 11737, 5071}, {1657, 15690, 3524}, {1657, 3524, 15640}, {3091, 15692, 15694}, {3524, 15640, 3832}, {3528, 3830, 15708}, {3534, 15681, 15691}, {3830, 15708, 5068}, {3839, 10304, 15707}, {3839, 8703, 15717}, {3843, 15688, 15711}, {3845, 15710, 10303}, {5056, 10304, 12100}, {5076, 15713, 3545}, {10304, 11001, 3146}, {10304, 11539, 15705}, {10304, 15640, 3628}, {10304, 15692, 15714}, {10304, 15695, 3522}, {11539, 15693, 631}, {11541, 15719, 14269}, {11737, 15681, 3529}, {12101, 15706, 5067}, {12108, 15702, 15721}, {14093, 15681, 30}, {14269, 15719, 7486}, {15681, 15689, 15703}, {15681, 15691, 376}, {15682, 15688, 3523}, {15683, 15717, 15684}, {15684, 15702, 3839}, {15684, 15707, 381}, {15686, 15691, 15681}, {15688, 15704, 15682}, {15692, 15721, 15693}, {15703, 15721, 17678}, {15703, 17678, 2}, {48872, 50971, 59373}

X(62130) = X(1)X(50819)∩X(2)X(3)

X(62130) lies on these lines: {1, 50819}, {2, 3}, {6, 50975}, {8, 50809}, {10, 50812}, {40, 34641}, {69, 48891}, {141, 50968}, {165, 38074}, {193, 51176}, {395, 52080}, {396, 52079}, {489, 13678}, {490, 13798}, {542, 55596}, {671, 35021}, {754, 9741}, {944, 34747}, {1056, 4316}, {1058, 4324}, {1125, 51079}, {1249, 36427}, {1285, 6781}, {1352, 55625}, {1587, 43209}, {1588, 43210}, {1992, 48873}, {3098, 51023}, {3244, 6361}, {3316, 42272}, {3317, 42271}, {3488, 4031}, {3579, 50864}, {3589, 51134}, {3618, 48879}, {3626, 34627}, {3629, 43273}, {3631, 11180}, {3632, 31730}, {3636, 31162}, {3644, 51043}, {3653, 9812}, {3655, 20057}, {4293, 8162}, {4299, 10385}, {4302, 37602}, {4681, 51042}, {4686, 51044}, {5237, 49861}, {5238, 49862}, {5334, 42625}, {5335, 42626}, {5339, 42792}, {5340, 42791}, {5343, 49906}, {5344, 49905}, {5351, 41120}, {5352, 41119}, {5476, 55690}, {5485, 60322}, {5550, 50873}, {5657, 38098}, {5731, 28198}, {5882, 51094}, {6054, 35022}, {6154, 12248}, {6329, 50971}, {6468, 23267}, {6469, 23273}, {6470, 7581}, {6471, 7582}, {6564, 43374}, {6565, 43375}, {7592, 16936}, {7612, 60631}, {7773, 32887}, {7825, 39142}, {7967, 11224}, {7982, 51095}, {8591, 38741}, {9143, 20127}, {9540, 14241}, {9541, 43788}, {9778, 28204}, {9862, 12117}, {10168, 43621}, {10595, 51705}, {10706, 40196}, {10710, 35024}, {10711, 35023}, {10984, 13482}, {11008, 46264}, {11177, 38730}, {11179, 48880}, {11480, 43487}, {11481, 43488}, {11485, 43111}, {11486, 43110}, {11488, 42529}, {11489, 42528}, {11645, 55615}, {12243, 38749}, {12244, 24981}, {12702, 20054}, {12816, 42494}, {12817, 42495}, {12818, 42602}, {12819, 42603}, {12820, 42105}, {12821, 42104}, {13846, 23269}, {13847, 23275}, {13886, 42414}, {13925, 43519}, {13935, 14226}, {13939, 42413}, {13993, 43520}, {14488, 60616}, {14912, 59411}, {14927, 48885}, {15516, 48920}, {15520, 19924}, {15808, 41869}, {16241, 42113}, {16242, 42112}, {16267, 42100}, {16268, 42099}, {16772, 49874}, {16773, 49873}, {16962, 42086}, {16963, 42085}, {16964, 49812}, {16965, 49813}, {18481, 20050}, {18492, 50829}, {18510, 42644}, {18512, 42643}, {18581, 42430}, {18582, 42429}, {18843, 54523}, {19053, 42261}, {19054, 42260}, {19877, 50799}, {20421, 43699}, {20423, 48892}, {20583, 44882}, {21356, 29012}, {22236, 49826}, {22238, 49827}, {22615, 42537}, {22644, 42538}, {23249, 41954}, {23259, 41953}, {23302, 51945}, {23303, 51944}, {25055, 28150}, {28154, 54445}, {28160, 53620}, {28202, 38314}, {28208, 59388}, {29317, 55693}, {31412, 43515}, {31670, 55696}, {32000, 57822}, {32787, 41969}, {32788, 41970}, {32819, 32886}, {32822, 37671}, {33602, 42156}, {33603, 42153}, {33750, 47352}, {33878, 51179}, {34089, 42273}, {34091, 42270}, {34595, 51074}, {34648, 35242}, {34773, 50872}, {35812, 43570}, {35813, 43571}, {35822, 42638}, {35823, 42637}, {36836, 42586}, {36843, 42587}, {36889, 57894}, {36967, 41971}, {36968, 41972}, {37480, 43572}, {37640, 42090}, {37641, 42091}, {38064, 51538}, {38731, 52695}, {39874, 40341}, {40344, 55732}, {40693, 42588}, {40694, 42589}, {41107, 43769}, {41108, 43770}, {41112, 43633}, {41113, 43632}, {41967, 43521}, {41968, 43522}, {42087, 43482}, {42088, 43481}, {42089, 43196}, {42092, 43195}, {42096, 43404}, {42097, 43403}, {42121, 43541}, {42124, 43540}, {42157, 42510}, {42158, 42511}, {42164, 49824}, {42165, 49825}, {42263, 43510}, {42264, 43509}, {42266, 43387}, {42267, 43386}, {42433, 42780}, {42434, 42779}, {42478, 43250}, {42479, 43251}, {42512, 44015}, {42513, 44016}, {42520, 42891}, {42521, 42890}, {42561, 43516}, {42584, 42974}, {42585, 42975}, {42892, 43203}, {42893, 43204}, {42912, 43465}, {42913, 43466}, {42940, 43555}, {42941, 43554}, {42942, 43106}, {42943, 43105}, {42946, 43003}, {42947, 43002}, {43100, 43402}, {43107, 43401}, {43193, 49875}, {43194, 49876}, {43483, 43637}, {43484, 43636}, {43485, 61719}, {44526, 46453}, {46932, 50825}, {46933, 50863}, {46934, 50806}, {48872, 51737}, {48874, 54174}, {48896, 55635}, {48898, 55590}, {48906, 51028}, {48910, 50976}, {50868, 61256}, {50954, 55632}, {50959, 55676}, {50961, 55594}, {50969, 54169}, {50972, 55646}, {50977, 55634}, {50982, 55607}, {50991, 55626}, {50992, 52987}, {51136, 55582}, {51345, 51835}, {52519, 54616}, {53100, 60627}, {53103, 54720}, {53144, 55823}, {54595, 60315}, {54596, 60316}, {54637, 60337}, {54845, 60143}, {55706, 59373}, {60132, 60629}, {60150, 60636}, {60185, 60219}, {60284, 60330}

X(62130) = midpoint of X(i) and X(j) for these {i,j}: {1657, 5055}, {3524, 11001}, {3839, 15683}, {15681, 15688}
X(62130) = reflection of X(i) in X(j) for these {i,j}: {10304, 15689}, {11539, 548}, {14269, 17504}, {15682, 3839}, {15688, 550}, {2, 15688}, {3524, 376}, {3543, 5055}, {3545, 10304}, {3830, 11539}, {3839, 3}, {3853, 14890}, {38074, 165}, {4, 3524}, {5055, 8703}, {51538, 38064}, {52695, 38731}, {9812, 3653}
X(62130) = inverse of X(61947) in orthocentroidal circle
X(62130) = inverse of X(61947) in Yff hyperbola
X(62130) = complement of X(62037)
X(62130) = anticomplement of X(14269)
X(62130) = pole of line {523, 61947} with respect to the orthocentroidal circle
X(62130) = pole of line {185, 61867} with respect to the Jerabek hyperbola
X(62130) = pole of line {6, 61947} with respect to the Kiepert hyperbola
X(62130) = pole of line {523, 61947} with respect to the Yff hyperbola
X(62130) = pole of line {69, 15681} with respect to the Wallace hyperbola
X(62130) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(49134)}}, {{A, B, C, X(69), X(15681)}}, {{A, B, C, X(376), X(57894)}}, {{A, B, C, X(546), X(36889)}}, {{A, B, C, X(1138), X(37984)}}, {{A, B, C, X(1294), X(3839)}}, {{A, B, C, X(1597), X(14491)}}, {{A, B, C, X(2693), X(37957)}}, {{A, B, C, X(3528), X(57822)}}, {{A, B, C, X(3830), X(43699)}}, {{A, B, C, X(4232), X(60322)}}, {{A, B, C, X(4846), X(19709)}}, {{A, B, C, X(5070), X(15740)}}, {{A, B, C, X(5897), X(38446)}}, {{A, B, C, X(11270), X(55570)}}, {{A, B, C, X(13603), X(18535)}}, {{A, B, C, X(15022), X(54763)}}, {{A, B, C, X(15683), X(54667)}}, {{A, B, C, X(15717), X(54660)}}, {{A, B, C, X(18317), X(38335)}}, {{A, B, C, X(18850), X(19708)}}, {{A, B, C, X(20421), X(55576)}}, {{A, B, C, X(35501), X(57714)}}, {{A, B, C, X(37174), X(60631)}}, {{A, B, C, X(37934), X(60740)}}, {{A, B, C, X(50693), X(60122)}}, {{A, B, C, X(52301), X(54845)}}
X(62130) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11737, 3090}, {2, 14269, 3545}, {2, 15681, 3529}, {2, 15692, 15720}, {2, 15700, 631}, {2, 20, 15681}, {2, 3528, 15715}, {2, 3543, 546}, {2, 3855, 5071}, {2, 5084, 11359}, {3, 15691, 15697}, {3, 3534, 15691}, {3, 381, 15713}, {3, 3839, 15709}, {3, 5066, 15721}, {20, 15691, 15682}, {20, 17538, 4}, {20, 3522, 15704}, {20, 376, 11001}, {30, 11539, 3830}, {30, 14890, 3853}, {30, 548, 11539}, {30, 8703, 5055}, {376, 15685, 5067}, {376, 3534, 17538}, {376, 631, 8703}, {381, 15698, 3525}, {381, 15713, 7486}, {381, 3522, 15698}, {382, 10299, 3544}, {382, 15688, 15707}, {546, 3529, 11541}, {546, 8703, 15700}, {548, 3830, 15692}, {549, 15685, 3146}, {1657, 8703, 3543}, {3522, 3543, 15722}, {3524, 3525, 15708}, {3526, 3628, 17590}, {3528, 17538, 550}, {3528, 3544, 10299}, {3529, 10299, 382}, {3534, 15686, 20}, {3830, 15720, 11737}, {3839, 15705, 10124}, {3845, 14093, 3523}, {3851, 15681, 15685}, {3853, 15711, 15703}, {3855, 15682, 15687}, {3860, 15723, 15022}, {5055, 8703, 15705}, {5056, 6872, 2049}, {5076, 15718, 10109}, {6361, 50811, 34631}, {6958, 15686, 5059}, {10299, 15707, 3524}, {10304, 15689, 376}, {10304, 17504, 15710}, {11480, 43542, 43493}, {11481, 43543, 43494}, {11737, 15720, 2}, {12100, 15684, 3091}, {12101, 15714, 3526}, {12103, 15686, 3534}, {12812, 15696, 3522}, {14093, 17800, 3845}, {14269, 15688, 17504}, {14269, 15689, 15688}, {14893, 15701, 5056}, {15640, 15695, 15719}, {15681, 15687, 15683}, {15681, 15688, 30}, {15681, 15689, 14269}, {15681, 15697, 3855}, {15682, 15709, 3839}, {15683, 15697, 3}, {15685, 15696, 549}, {15687, 17504, 15699}, {15688, 15710, 3528}, {15688, 17504, 10304}, {15690, 15704, 381}, {15691, 15699, 15689}, {15700, 15722, 3530}, {15721, 17578, 5066}, {18481, 34632, 50818}, {31730, 34628, 50810}, {34638, 50811, 6361}, {34648, 50816, 35242}, {41945, 43256, 7581}, {41946, 43257, 7582}, {46264, 54170, 50974}, {48905, 50965, 11180}

X(62131) = X(2)X(3)∩X(6)X(42994)

X(62131) lies on these lines: {2, 3}, {6, 42994}, {17, 42097}, {18, 42096}, {40, 51515}, {74, 14841}, {154, 32903}, {265, 38633}, {355, 59420}, {397, 42090}, {398, 42091}, {516, 37624}, {542, 55595}, {599, 55620}, {999, 4324}, {1154, 52093}, {1181, 37496}, {1327, 43409}, {1328, 43410}, {1350, 48891}, {1351, 48880}, {1352, 55624}, {1384, 5346}, {1482, 61285}, {1503, 55604}, {2777, 14530}, {3070, 6445}, {3071, 6446}, {3295, 4316}, {3426, 26861}, {3519, 43719}, {3616, 28182}, {3818, 55643}, {4297, 10247}, {4299, 6767}, {4302, 7373}, {5050, 48872}, {5085, 48879}, {5093, 44882}, {5318, 42794}, {5321, 42793}, {5339, 16961}, {5340, 16960}, {5343, 42144}, {5344, 42145}, {5349, 42112}, {5350, 42113}, {5365, 42121}, {5366, 42124}, {5493, 18481}, {5585, 39565}, {5732, 51514}, {5734, 50819}, {5790, 12512}, {5876, 54047}, {5882, 8148}, {5890, 13421}, {5895, 14862}, {5925, 32063}, {5965, 33878}, {6033, 38635}, {6199, 42260}, {6221, 42267}, {6241, 54048}, {6243, 13382}, {6321, 38634}, {6395, 42261}, {6398, 42266}, {6411, 43881}, {6412, 43882}, {6417, 42259}, {6418, 42258}, {6449, 8960}, {6450, 42263}, {6451, 23251}, {6452, 23261}, {6455, 35820}, {6456, 35821}, {6459, 6501}, {6460, 6500}, {6496, 6564}, {6497, 6565}, {6519, 35822}, {6522, 35823}, {6781, 30435}, {7583, 9691}, {7728, 38638}, {7747, 44541}, {7755, 44526}, {7802, 32821}, {7987, 28154}, {7998, 32137}, {8550, 44456}, {8976, 42276}, {8981, 42414}, {9690, 42226}, {9704, 37477}, {9778, 12645}, {9833, 15105}, {10187, 42095}, {10188, 42098}, {10194, 42283}, {10195, 42284}, {10516, 55648}, {10575, 13340}, {10595, 58233}, {10606, 14864}, {10619, 12316}, {10627, 12279}, {10738, 38637}, {10742, 38636}, {10990, 12121}, {10991, 38730}, {10992, 38741}, {10993, 38753}, {11017, 44299}, {11178, 55641}, {11441, 52100}, {11455, 32142}, {11480, 42431}, {11481, 42432}, {11482, 19924}, {11485, 42158}, {11486, 42157}, {11522, 28146}, {11623, 38733}, {11645, 55614}, {11820, 18442}, {12017, 29317}, {12254, 13432}, {12290, 54042}, {12307, 44748}, {12308, 20127}, {12315, 45185}, {12699, 58230}, {12902, 20417}, {12918, 38639}, {13093, 34785}, {13108, 22676}, {13348, 18435}, {13464, 48661}, {13598, 40280}, {13665, 41963}, {13785, 41964}, {13951, 42275}, {13966, 42413}, {14449, 61136}, {14641, 18436}, {14848, 50971}, {14861, 43908}, {15036, 15046}, {15040, 34584}, {15042, 61574}, {15056, 54044}, {15069, 55602}, {15533, 55597}, {15655, 44518}, {16192, 33697}, {16534, 38723}, {16808, 42773}, {16809, 42774}, {16936, 36747}, {16962, 42586}, {16963, 42587}, {16964, 42625}, {16965, 42626}, {17834, 43807}, {17845, 35450}, {17851, 23273}, {18440, 55616}, {18493, 28150}, {18510, 43408}, {18512, 43407}, {18525, 43174}, {18553, 31884}, {19106, 43238}, {19107, 43239}, {20070, 58247}, {20190, 51024}, {20418, 38754}, {20427, 44762}, {21358, 55644}, {22236, 41974}, {22238, 41973}, {22809, 48734}, {22810, 48735}, {25555, 48910}, {25561, 55652}, {28158, 58224}, {28168, 35242}, {28236, 31730}, {29012, 55629}, {29181, 53091}, {29323, 55646}, {31487, 53130}, {31656, 38640}, {31670, 55697}, {32046, 43576}, {33520, 38765}, {33542, 33887}, {33543, 44749}, {33636, 40138}, {33751, 53023}, {34507, 48662}, {34754, 43485}, {34755, 43486}, {35812, 51850}, {35813, 51849}, {36836, 42992}, {36843, 42993}, {36967, 43193}, {36968, 43194}, {36990, 55639}, {37484, 46850}, {37714, 50812}, {37853, 38724}, {38072, 55681}, {38726, 38789}, {38731, 38744}, {38732, 38747}, {38736, 38743}, {38738, 52090}, {38759, 51517}, {39899, 48874}, {42085, 42989}, {42086, 42988}, {42087, 42151}, {42088, 42150}, {42103, 42948}, {42106, 42949}, {42108, 42920}, {42109, 42921}, {42119, 42924}, {42120, 42925}, {42122, 42998}, {42123, 42999}, {42125, 42682}, {42126, 42149}, {42127, 42152}, {42128, 42683}, {42153, 42528}, {42154, 42433}, {42155, 42434}, {42156, 42529}, {42163, 42513}, {42164, 42778}, {42165, 42777}, {42166, 42512}, {42225, 42637}, {42474, 42596}, {42475, 42597}, {42518, 43422}, {42519, 43423}, {42520, 42990}, {42521, 42991}, {42580, 42985}, {42581, 42984}, {42584, 43769}, {42585, 43770}, {42690, 43547}, {42691, 43546}, {42729, 43629}, {42730, 43628}, {42797, 44016}, {42798, 44015}, {42813, 43024}, {42814, 43025}, {42900, 43016}, {42901, 43017}, {42904, 43026}, {42905, 43027}, {42908, 42978}, {42909, 42979}, {42938, 42964}, {42939, 42965}, {43018, 43205}, {43019, 43206}, {43150, 55618}, {43242, 43496}, {43243, 43495}, {43273, 55724}, {43376, 43509}, {43377, 43510}, {43432, 43879}, {43433, 43880}, {43511, 43787}, {43512, 43788}, {45959, 54041}, {46264, 55584}, {47353, 55631}, {48881, 55593}, {48884, 55651}, {48889, 55654}, {48895, 55673}, {48901, 55682}, {48904, 55676}, {48942, 55658}, {48943, 55669}, {50955, 55606}, {50968, 55637}, {50976, 55684}, {54131, 55701}

X(62131) = midpoint of X(i) and X(j) for these {i,j}: {20, 17538}, {1656, 1657}, {3529, 17578}, {11001, 15692}, {15681, 15695}
X(62131) = reflection of X(i) in X(j) for these {i,j}: {1656, 3522}, {14093, 15697}, {15693, 376}, {15694, 15695}, {15696, 17538}, {15714, 15690}, {17578, 632}, {3, 15696}, {382, 3091}, {3522, 550}, {3830, 15694}, {3843, 3}, {4, 15712}, {44749, 33543}, {5071, 8703}, {5076, 631}, {632, 548}
X(62131) = inverse of X(37944) in Stammler circle
X(62131) = anticomplement of X(61988)
X(62131) = pole of line {523, 37944} with respect to the Stammler circle
X(62131) = pole of line {185, 46219} with respect to the Jerabek hyperbola
X(62131) = pole of line {69, 48920} with respect to the Wallace hyperbola
X(62131) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(30), X(14841)}}, {{A, B, C, X(68), X(11541)}}, {{A, B, C, X(376), X(26861)}}, {{A, B, C, X(1105), X(46219)}}, {{A, B, C, X(1294), X(3843)}}, {{A, B, C, X(1494), X(35434)}}, {{A, B, C, X(3090), X(14861)}}, {{A, B, C, X(3426), X(26863)}}, {{A, B, C, X(3518), X(43719)}}, {{A, B, C, X(3519), X(3529)}}, {{A, B, C, X(3532), X(44879)}}, {{A, B, C, X(3544), X(4846)}}, {{A, B, C, X(6662), X(23046)}}, {{A, B, C, X(14528), X(35475)}}, {{A, B, C, X(14865), X(43908)}}, {{A, B, C, X(15690), X(60122)}}, {{A, B, C, X(15701), X(40448)}}, {{A, B, C, X(17538), X(42021)}}, {{A, B, C, X(18550), X(50689)}}, {{A, B, C, X(21400), X(50688)}}, {{A, B, C, X(35404), X(52441)}}, {{A, B, C, X(41982), X(57822)}}
X(62131) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 14269, 3526}, {3, 15684, 5}, {3, 20, 15681}, {3, 30, 3843}, {3, 3526, 15718}, {3, 3830, 5070}, {3, 3843, 15694}, {3, 5070, 15707}, {4, 3522, 15712}, {20, 12103, 3534}, {20, 376, 15704}, {20, 550, 1657}, {30, 15690, 15714}, {30, 15697, 14093}, {30, 15712, 4}, {30, 17538, 15696}, {30, 376, 15693}, {30, 548, 632}, {30, 631, 5076}, {30, 632, 17578}, {30, 8703, 5071}, {140, 15685, 5073}, {140, 15704, 5059}, {140, 17504, 3523}, {140, 3091, 1656}, {140, 550, 376}, {376, 11541, 15717}, {376, 14269, 6926}, {376, 15640, 17504}, {376, 15683, 11737}, {376, 15708, 8703}, {381, 382, 12102}, {631, 17538, 15697}, {1656, 15693, 140}, {1656, 15696, 3522}, {1656, 3843, 3851}, {1656, 5076, 3858}, {1657, 3534, 550}, {1657, 5059, 15685}, {1657, 5073, 17800}, {2043, 2044, 15690}, {2045, 2046, 10124}, {3146, 10299, 3850}, {3146, 3526, 14269}, {3522, 5059, 3091}, {3524, 3853, 5079}, {3528, 15683, 3627}, {3529, 5067, 15640}, {3530, 3543, 5072}, {3534, 15688, 15691}, {3534, 15696, 17538}, {3545, 6880, 3146}, {3545, 7486, 6859}, {3627, 15690, 3528}, {3850, 8703, 10299}, {5055, 15701, 15723}, {6455, 35820, 45384}, {6456, 35821, 45385}, {6781, 44519, 30435}, {7385, 15640, 17566}, {11001, 15688, 15684}, {11001, 15691, 15688}, {11001, 15692, 30}, {11413, 13564, 3}, {11541, 15717, 3845}, {12102, 15640, 382}, {12102, 15704, 3529}, {12102, 17504, 5067}, {12103, 15686, 20}, {12812, 15711, 631}, {14269, 15708, 5055}, {14641, 36987, 18436}, {14784, 14785, 11541}, {15640, 17504, 381}, {15681, 15689, 3830}, {15683, 15690, 5054}, {15684, 15688, 15701}, {15688, 15723, 15759}, {15689, 15694, 15695}, {15691, 15701, 15689}, {33751, 53023, 55678}, {42263, 51910, 6450}, {42994, 42995, 6}, {48880, 59411, 1351}, {48885, 48905, 55610}, {48905, 55610, 48662}

X(62132) = X(2)X(3)∩X(590)X(42576)

X(62132) lies on these lines: {2, 3}, {590, 42576}, {615, 42577}, {1131, 42568}, {1132, 42569}, {1699, 51079}, {4677, 9778}, {4678, 28208}, {4745, 59420}, {5050, 51211}, {5306, 11742}, {5334, 42631}, {5335, 42632}, {5343, 49904}, {5344, 49903}, {6496, 60307}, {6497, 60308}, {7585, 43209}, {7586, 43210}, {8584, 51135}, {8596, 38749}, {9543, 42267}, {9589, 51104}, {9680, 60291}, {9812, 51108}, {10165, 50873}, {10513, 11057}, {11160, 48881}, {11180, 48885}, {11480, 42502}, {11481, 42503}, {12512, 51066}, {14711, 22676}, {14830, 35369}, {14907, 32892}, {14927, 22165}, {15533, 50970}, {15534, 61044}, {16191, 51071}, {18481, 20049}, {18581, 42505}, {18582, 42504}, {20070, 34638}, {26446, 50863}, {28150, 50820}, {28158, 61271}, {28160, 50813}, {28202, 61277}, {28228, 51094}, {29012, 50969}, {31145, 31730}, {31414, 43785}, {34632, 61296}, {35255, 42540}, {35256, 42539}, {36967, 49875}, {36968, 49876}, {37712, 50808}, {37832, 43552}, {37835, 43553}, {38127, 50864}, {41100, 43007}, {41101, 43006}, {41121, 43637}, {41122, 43636}, {41152, 55614}, {42085, 42507}, {42086, 42506}, {42087, 42509}, {42088, 42508}, {42090, 46334}, {42091, 46335}, {42112, 49908}, {42113, 49907}, {42139, 51944}, {42142, 51945}, {42263, 42573}, {42264, 42572}, {42429, 42905}, {42430, 42904}, {42478, 43228}, {42479, 43229}, {42516, 43106}, {42517, 43105}, {42532, 49826}, {42533, 49827}, {42537, 43508}, {42538, 43507}, {42625, 43466}, {42626, 43465}, {42940, 43870}, {42941, 43869}, {47102, 53141}, {48880, 51170}, {50811, 51092}, {50812, 59387}, {50815, 51105}, {50866, 58441}, {50870, 61264}, {50872, 61287}, {50965, 50990}, {50971, 51185}, {51081, 58221}, {51082, 61294}, {51134, 53023}, {51178, 54174}

X(62132) = midpoint of X(i) and X(j) for these {i,j}: {1657, 15703}, {3832, 15683}, {11001, 15698}
X(62132) = reflection of X(i) in X(j) for these {i,j}: {3523, 376}, {3543, 3090}, {4, 15700}
X(62132) = anticomplement of X(61989)
X(62132) = pole of line {69, 62145} with respect to the Wallace hyperbola
X(62132) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(4846), X(14892)}}, {{A, B, C, X(15682), X(35510)}}, {{A, B, C, X(16251), X(38335)}}, {{A, B, C, X(18850), X(45759)}}, {{A, B, C, X(50691), X(52441)}}
X(62132) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3845, 5068}, {3, 381, 14890}, {5, 14891, 5054}, {20, 10304, 15681}, {20, 15697, 11001}, {30, 15700, 4}, {30, 3090, 3543}, {30, 376, 3523}, {376, 11001, 3830}, {376, 15705, 3522}, {376, 1657, 3839}, {376, 3146, 15705}, {550, 15704, 16239}, {550, 5054, 376}, {3146, 15717, 3854}, {3146, 3523, 3832}, {3523, 3839, 15703}, {3529, 15689, 15692}, {3534, 15685, 550}, {3534, 15690, 17538}, {3534, 15695, 15691}, {3543, 3839, 12102}, {3830, 15693, 5}, {3830, 5054, 5066}, {3851, 16239, 3090}, {5071, 15708, 5129}, {6958, 15689, 3534}, {8703, 11001, 15640}, {10109, 10303, 2}, {10304, 15681, 5059}, {11001, 15698, 30}, {11540, 17538, 6838}, {13741, 15699, 17528}, {14891, 15685, 15682}, {15640, 15697, 8703}, {15681, 17538, 10304}, {15682, 17538, 15690}, {15683, 15705, 3146}, {15684, 15710, 5056}, {15693, 17538, 15697}, {15698, 15702, 15693}

X(62133) = X(2)X(3)∩X(69)X(55600)

X(62133) lies on these lines: {2, 3}, {69, 55600}, {371, 43336}, {372, 43337}, {1285, 44519}, {1352, 55623}, {1587, 41956}, {1588, 41955}, {1699, 58225}, {3070, 10147}, {3071, 10148}, {3311, 43383}, {3312, 43382}, {3411, 42589}, {3412, 42588}, {3619, 55647}, {4301, 50819}, {5237, 43011}, {5238, 43010}, {5351, 42140}, {5352, 42141}, {5493, 50818}, {5881, 50809}, {5921, 55602}, {6361, 58245}, {6425, 43407}, {6426, 43408}, {6453, 23267}, {6454, 23273}, {6488, 42264}, {6489, 42263}, {6496, 43374}, {6497, 43375}, {6519, 42226}, {6522, 42225}, {7967, 58240}, {9540, 42578}, {9680, 14241}, {9812, 31666}, {11480, 56609}, {11481, 56608}, {11742, 22331}, {12007, 59411}, {12160, 35253}, {13607, 16189}, {13935, 42579}, {14692, 38628}, {14843, 44763}, {14912, 48880}, {14927, 55606}, {15069, 50966}, {16625, 61136}, {22234, 51212}, {22330, 25406}, {29012, 55628}, {29317, 55694}, {31425, 50816}, {31670, 55698}, {32523, 44434}, {34754, 43777}, {34755, 43778}, {35786, 43513}, {35787, 43514}, {35814, 42637}, {35815, 42638}, {36836, 42986}, {36843, 42987}, {39874, 52987}, {40247, 54041}, {40693, 42806}, {40694, 42805}, {42096, 42686}, {42097, 42687}, {42099, 42964}, {42100, 42965}, {42104, 42954}, {42105, 42955}, {42112, 43464}, {42113, 43463}, {42150, 42935}, {42151, 42934}, {42164, 42685}, {42165, 42684}, {42413, 43510}, {42414, 43509}, {42431, 43033}, {42432, 43032}, {42433, 43770}, {42434, 43769}, {42512, 42798}, {42513, 42797}, {42694, 42776}, {42695, 42775}, {43150, 55617}, {43250, 43300}, {43251, 43301}, {43621, 55681}, {44882, 53858}, {46264, 55583}, {48873, 55721}, {48885, 55611}, {48891, 55597}, {48892, 55708}, {48898, 55588}, {51538, 55687}

X(62133) = midpoint of X(i) and X(j) for these {i,j}: {1657, 5070}, {11001, 15715}
X(62133) = reflection of X(i) in X(j) for these {i,j}: {15719, 376}, {4, 15717}
X(62133) = anticomplement of X(61990)
X(62133) = pole of line {185, 61870} with respect to the Jerabek hyperbola
X(62133) = pole of line {69, 62144} with respect to the Wallace hyperbola
X(62133) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(49133)}}, {{A, B, C, X(549), X(18851)}}, {{A, B, C, X(1294), X(50689)}}, {{A, B, C, X(3517), X(43691)}}, {{A, B, C, X(3853), X(18296)}}, {{A, B, C, X(5072), X(18853)}}, {{A, B, C, X(7486), X(18852)}}, {{A, B, C, X(13623), X(46219)}}, {{A, B, C, X(14843), X(33703)}}, {{A, B, C, X(15700), X(54660)}}, {{A, B, C, X(15740), X(55856)}}, {{A, B, C, X(17800), X(18847)}}, {{A, B, C, X(18848), X(46333)}}, {{A, B, C, X(18849), X(50693)}}, {{A, B, C, X(43713), X(55574)}}, {{A, B, C, X(47478), X(54763)}}
X(62133) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 12102, 2}, {3, 3146, 3544}, {3, 3544, 631}, {3, 382, 12812}, {3, 3857, 10303}, {4, 3524, 7486}, {4, 3525, 5072}, {4, 3526, 3545}, {4, 5071, 3856}, {4, 548, 15698}, {20, 12103, 17538}, {20, 17538, 3529}, {20, 3522, 15681}, {20, 550, 11001}, {30, 376, 15719}, {376, 3533, 3528}, {548, 3857, 3}, {549, 15695, 10304}, {550, 3853, 15695}, {1657, 15695, 3853}, {3090, 15719, 3525}, {3091, 3533, 3090}, {3146, 10304, 3628}, {3146, 3857, 3149}, {3528, 15682, 3533}, {3534, 17800, 550}, {3628, 15704, 17800}, {3628, 17800, 3146}, {3628, 5072, 5056}, {5056, 10304, 15717}, {5059, 15696, 3524}, {5059, 7486, 15684}, {10303, 13741, 3526}, {10304, 17800, 4}, {11001, 15695, 15682}, {11001, 15715, 30}, {12103, 15704, 3534}, {14892, 15759, 549}, {15697, 15710, 376}, {42413, 51910, 43510}

X(62134) = X(2)X(3)∩X(32)X(11742)

X(62134) lies on these lines: {2, 3}, {15, 43326}, {16, 43327}, {32, 11742}, {61, 42966}, {62, 42967}, {394, 52100}, {575, 48872}, {576, 48920}, {590, 43515}, {599, 55617}, {615, 43516}, {1503, 55602}, {2777, 15039}, {3303, 4316}, {3304, 4324}, {3629, 48873}, {3631, 55610}, {3763, 55652}, {5007, 44519}, {5237, 42126}, {5238, 42127}, {5339, 42938}, {5340, 42939}, {5351, 42096}, {5352, 42097}, {5640, 55286}, {5895, 32903}, {6030, 53779}, {6154, 38753}, {6329, 55701}, {6407, 42226}, {6408, 42225}, {6425, 18512}, {6426, 18510}, {6427, 42259}, {6428, 42258}, {6447, 6560}, {6448, 6561}, {6451, 42272}, {6452, 42271}, {6455, 42276}, {6456, 42275}, {6488, 8960}, {6489, 58866}, {6496, 22644}, {6497, 22615}, {7756, 22331}, {7991, 18526}, {8717, 37495}, {9680, 43570}, {9681, 43209}, {9691, 23267}, {10141, 35815}, {10142, 35814}, {10187, 42543}, {10188, 42544}, {10516, 55647}, {10541, 29317}, {10574, 16982}, {10575, 54048}, {11008, 55584}, {11439, 54044}, {11477, 48880}, {11480, 42629}, {11481, 42630}, {11482, 44882}, {11485, 43106}, {11486, 43105}, {11592, 16261}, {11645, 55611}, {11898, 48881}, {11935, 52525}, {12645, 31730}, {12902, 15021}, {13340, 14641}, {13665, 51911}, {13785, 51910}, {13903, 42264}, {13961, 42263}, {14537, 31470}, {14927, 55604}, {15020, 34584}, {15023, 61574}, {15027, 37853}, {15034, 38790}, {15040, 38791}, {15069, 55600}, {15808, 28150}, {17852, 35823}, {18439, 54047}, {18440, 48885}, {18524, 44846}, {19924, 53858}, {20057, 28174}, {20127, 24981}, {20190, 48879}, {20583, 51172}, {22236, 42131}, {22238, 42130}, {23249, 43434}, {23259, 43435}, {28146, 30389}, {29012, 55626}, {29181, 53092}, {29323, 55644}, {31162, 58232}, {31399, 50816}, {31666, 41869}, {34638, 37727}, {35021, 38742}, {35022, 38731}, {36836, 42100}, {36843, 42099}, {36990, 55637}, {39884, 55632}, {39899, 48898}, {40341, 44748}, {41119, 42794}, {41120, 42793}, {42104, 42951}, {42105, 42950}, {42112, 42599}, {42113, 42598}, {42115, 42164}, {42116, 42165}, {42129, 42946}, {42132, 42947}, {42153, 43017}, {42154, 42780}, {42155, 42779}, {42156, 43016}, {42160, 42818}, {42161, 42817}, {42429, 42798}, {42430, 42797}, {42433, 42975}, {42434, 42974}, {42528, 43547}, {42529, 43546}, {42586, 42632}, {42587, 42631}, {42612, 43485}, {42613, 43486}, {42625, 42989}, {42626, 42988}, {42635, 46334}, {42636, 46335}, {42888, 43870}, {42889, 43869}, {43197, 43648}, {43198, 43647}, {43273, 55721}, {43493, 43556}, {43494, 43557}, {43523, 43785}, {43524, 43786}, {43621, 55682}, {46264, 55580}, {48884, 55650}, {48892, 53093}, {48896, 55631}, {48904, 55677}, {48905, 55606}, {48910, 55687}, {50815, 61276}, {51163, 55678}, {51709, 58229}, {53023, 55679}, {54131, 55704}

X(62134) = midpoint of X(i) and X(j) for these {i,j}: {1657, 3526}
X(62134) = reflection of X(i) in X(j) for these {i,j}: {15701, 376}, {382, 3851}, {3528, 550}, {3830, 15702}, {3851, 3528}
X(62134) = pole of line {185, 55858} with respect to the Jerabek hyperbola
X(62134) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(50690)}}, {{A, B, C, X(1105), X(55858)}}, {{A, B, C, X(18848), X(19710)}}, {{A, B, C, X(18850), X(58188)}}, {{A, B, C, X(31371), X(41106)}}, {{A, B, C, X(58186), X(60618)}}
X(62134) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 12103, 3534}, {3, 15681, 3529}, {3, 17800, 3627}, {3, 3091, 5054}, {3, 3146, 5072}, {3, 3627, 1656}, {3, 3830, 3628}, {3, 3843, 3525}, {3, 3851, 14869}, {3, 5073, 3091}, {3, 5079, 15720}, {4, 15721, 5}, {4, 7397, 12100}, {20, 17538, 15704}, {20, 3534, 1657}, {20, 550, 15681}, {30, 15702, 3830}, {30, 3528, 3851}, {30, 376, 15701}, {30, 550, 3528}, {382, 3534, 550}, {548, 11001, 5073}, {550, 15687, 548}, {550, 3530, 376}, {1656, 15701, 3526}, {1656, 3544, 5079}, {1657, 15688, 382}, {1657, 15696, 381}, {1657, 3526, 30}, {1657, 3534, 15696}, {3146, 5072, 5076}, {3522, 3855, 17504}, {3529, 3855, 11541}, {3530, 15711, 10299}, {3530, 3627, 3544}, {3544, 3627, 14269}, {3832, 10303, 3090}, {3851, 14269, 3832}, {5059, 15690, 6948}, {5059, 8703, 3843}, {5072, 15720, 2049}, {5076, 5079, 546}, {10303, 15704, 17800}, {11539, 12108, 10303}, {12103, 15704, 17538}, {12108, 17538, 15689}, {14269, 15688, 15706}, {15681, 15707, 15685}, {15685, 15689, 15721}, {15696, 15720, 15688}, {15698, 15707, 15700}, {15701, 15703, 11539}, {15704, 17538, 3}, {15706, 15720, 3530}, {42625, 43632, 42989}, {42626, 43633, 42988}

X(62135) = X(2)X(3)∩X(15)X(42588)

X(62135) lies on these lines: {2, 3}, {15, 42588}, {16, 42589}, {69, 33610}, {511, 51176}, {515, 50809}, {516, 50819}, {944, 34638}, {1327, 43314}, {1328, 43315}, {1503, 50966}, {1992, 48880}, {3068, 42525}, {3069, 42524}, {3098, 50994}, {3579, 51068}, {3817, 51081}, {4297, 51107}, {4316, 10385}, {4677, 31730}, {5102, 51135}, {5237, 49859}, {5238, 49860}, {5473, 36344}, {5474, 36319}, {5485, 47101}, {5587, 50816}, {5603, 41150}, {5965, 51179}, {6200, 14241}, {6221, 43386}, {6361, 51093}, {6396, 14226}, {6398, 43387}, {6409, 42576}, {6410, 42577}, {6433, 42572}, {6434, 42573}, {6441, 43256}, {6442, 43257}, {6476, 23267}, {6477, 23273}, {6484, 43342}, {6485, 43343}, {6560, 43788}, {6561, 43787}, {6564, 42538}, {6565, 42537}, {9541, 43209}, {10516, 50972}, {10595, 28202}, {10653, 42520}, {10654, 42521}, {11057, 32817}, {11179, 48920}, {11180, 51189}, {11480, 42518}, {11481, 42519}, {11488, 33602}, {11489, 33603}, {11645, 50990}, {11648, 46453}, {11668, 54647}, {12245, 34628}, {12512, 38074}, {12816, 42113}, {12817, 42112}, {14458, 60641}, {14639, 41148}, {14651, 41151}, {14853, 41153}, {15533, 48881}, {16200, 51080}, {16241, 43002}, {16242, 43003}, {16960, 42892}, {16961, 42893}, {18842, 54734}, {21969, 61136}, {22165, 48905}, {23269, 51911}, {23275, 51910}, {28158, 51079}, {28164, 50812}, {28194, 51097}, {28208, 51072}, {28228, 50811}, {28234, 50818}, {28236, 50810}, {29181, 50975}, {31162, 51106}, {32532, 54644}, {33604, 42145}, {33605, 42144}, {33750, 50976}, {35255, 43536}, {35256, 54597}, {36967, 43481}, {36968, 43482}, {36969, 43324}, {36970, 43325}, {37640, 46334}, {37641, 46335}, {38136, 51213}, {38140, 50867}, {38747, 41154}, {39874, 48891}, {40693, 42927}, {40694, 42926}, {41100, 42119}, {41101, 42120}, {41107, 42090}, {41108, 42091}, {41112, 42100}, {41113, 42099}, {41119, 42141}, {41120, 42140}, {41149, 43273}, {41152, 50965}, {41869, 51108}, {42085, 42631}, {42086, 42632}, {42087, 49876}, {42088, 49875}, {42108, 51944}, {42109, 51945}, {42111, 43476}, {42114, 43475}, {42160, 49904}, {42161, 49903}, {42275, 43522}, {42276, 43521}, {42429, 42512}, {42430, 42513}, {42504, 42813}, {42505, 42814}, {42506, 43633}, {42507, 43632}, {42510, 42517}, {42511, 42516}, {42514, 43548}, {42515, 43549}, {42777, 42791}, {42778, 42792}, {42930, 43463}, {42931, 43464}, {42942, 49826}, {42943, 49827}, {43210, 43385}, {43244, 43777}, {43245, 43778}, {43374, 43507}, {43375, 43508}, {43403, 43877}, {43404, 43878}, {43416, 43493}, {43417, 43494}, {43420, 49948}, {43421, 49947}, {43477, 43875}, {43478, 43876}, {43489, 43501}, {43490, 43502}, {43497, 43771}, {43498, 43772}, {43554, 43869}, {43555, 43870}, {47353, 50969}, {48892, 59373}, {48898, 54170}, {50808, 51070}, {50813, 59420}, {50958, 55618}, {50964, 55670}, {50974, 51187}, {51177, 54132}, {51215, 55593}, {54522, 60284}, {54612, 60628}, {54645, 60281}, {54707, 60648}, {54934, 60637}, {60127, 60283}, {60150, 60216}, {60301, 60622}, {60302, 60623}

X(62135) = midpoint of X(i) and X(j) for these {i,j}: {1657, 15694}, {3091, 15683}, {15681, 15696}
X(62135) = reflection of X(i) in X(j) for these {i,j}: {14093, 550}, {15692, 15696}, {15697, 3534}, {15711, 15690}, {17578, 15694}, {2, 15695}, {376, 17538}, {3091, 14093}, {3543, 1656}, {3830, 15713}, {3843, 15714}, {4, 15692}, {5071, 3522}, {5076, 549}, {631, 376}
X(62135) = anticomplement of X(61993)
X(62135) = pole of line {69, 19710} with respect to the Wallace hyperbola
X(62135) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(19710)}}, {{A, B, C, X(547), X(18852)}}, {{A, B, C, X(1657), X(54667)}}, {{A, B, C, X(4232), X(54851)}}, {{A, B, C, X(5076), X(18317)}}, {{A, B, C, X(5897), X(38441)}}, {{A, B, C, X(11331), X(60641)}}, {{A, B, C, X(14891), X(46168)}}, {{A, B, C, X(15696), X(18849)}}, {{A, B, C, X(15710), X(18850)}}, {{A, B, C, X(15712), X(54660)}}, {{A, B, C, X(15740), X(48154)}}, {{A, B, C, X(50691), X(54512)}}, {{A, B, C, X(52284), X(54734)}}, {{A, B, C, X(53857), X(54644)}}
X(62135) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15716}, {2, 15640, 12101}, {2, 15722, 15702}, {2, 15759, 3524}, {4, 17538, 15696}, {4, 3524, 547}, {4, 376, 15710}, {4, 8703, 15719}, {20, 3534, 11001}, {30, 15690, 15711}, {30, 15694, 17578}, {30, 15696, 15692}, {30, 15713, 3830}, {30, 15714, 3843}, {30, 17538, 376}, {30, 3522, 5071}, {30, 3534, 15697}, {30, 376, 631}, {30, 549, 5076}, {30, 550, 14093}, {547, 15681, 15683}, {548, 3839, 15715}, {549, 5054, 17533}, {550, 15704, 3861}, {632, 15696, 3522}, {1656, 3861, 3091}, {1657, 15691, 10304}, {3528, 3543, 15709}, {3529, 15698, 15682}, {3529, 16434, 3090}, {3534, 15681, 8703}, {3534, 15685, 15690}, {3534, 15697, 17538}, {3534, 3830, 550}, {3543, 15689, 3528}, {3839, 15715, 3533}, {3845, 8703, 3530}, {3861, 6987, 7498}, {5054, 15690, 6960}, {5055, 15689, 7491}, {6926, 15685, 382}, {8703, 11540, 3}, {8703, 12103, 3534}, {10304, 17578, 15694}, {11001, 15682, 3529}, {11540, 15640, 4}, {11541, 15715, 3839}, {11737, 15707, 16861}, {15681, 15696, 30}, {15682, 15698, 3545}, {15683, 15697, 15713}, {15684, 15711, 6837}, {15685, 15690, 2}, {15687, 15705, 5067}, {15689, 15704, 3543}, {15690, 15711, 15695}, {15710, 15719, 15698}, {42085, 42631, 49812}, {42086, 42632, 49813}, {54132, 59411, 51177}

X(62136) = X(2)X(3)∩X(17)X(42687)

X(62136) lies on these lines: {2, 3}, {17, 42687}, {18, 42686}, {141, 55635}, {395, 42964}, {396, 42965}, {397, 42584}, {398, 42585}, {1503, 55601}, {3564, 48891}, {4297, 28216}, {4299, 8162}, {4324, 15172}, {5237, 43001}, {5238, 43000}, {5349, 42978}, {5350, 42979}, {5480, 55689}, {5493, 5844}, {5882, 28212}, {6468, 42226}, {6469, 42225}, {6470, 42216}, {6471, 42215}, {6560, 43339}, {6561, 43338}, {7581, 43383}, {7582, 43382}, {7850, 32820}, {8550, 48880}, {10110, 55286}, {10645, 42889}, {10646, 42888}, {11224, 34773}, {11381, 44324}, {11542, 42684}, {11543, 42685}, {11592, 46849}, {12002, 12006}, {12007, 48920}, {12512, 28190}, {13364, 15003}, {13382, 13391}, {13392, 34584}, {13393, 17702}, {13421, 40647}, {13464, 28178}, {13474, 54044}, {13607, 28174}, {13623, 57730}, {13925, 43340}, {13993, 43341}, {14861, 57714}, {14862, 32903}, {14929, 32824}, {15105, 34785}, {15516, 29181}, {15520, 44882}, {16772, 42795}, {16773, 42796}, {18481, 61294}, {18553, 55634}, {18583, 48879}, {25555, 55686}, {28146, 51700}, {28158, 61272}, {28186, 43174}, {28202, 51085}, {28224, 31730}, {28232, 61281}, {29012, 55625}, {29317, 51732}, {34380, 48898}, {34507, 55608}, {34632, 61297}, {35814, 43786}, {35815, 43785}, {36967, 42935}, {36968, 42934}, {38022, 50820}, {38079, 50976}, {38081, 50813}, {38083, 51083}, {38723, 61598}, {38731, 61599}, {38742, 61600}, {38754, 61601}, {38766, 61602}, {38778, 61603}, {41963, 51911}, {41964, 51910}, {41973, 42943}, {41974, 42942}, {42087, 42924}, {42088, 42925}, {42099, 42993}, {42100, 42992}, {42104, 42774}, {42105, 42773}, {42111, 42477}, {42112, 43239}, {42113, 43238}, {42114, 42476}, {42122, 42158}, {42123, 42157}, {42136, 42944}, {42137, 42945}, {42140, 42690}, {42141, 42691}, {42144, 42149}, {42145, 42152}, {42147, 43007}, {42148, 43006}, {42163, 42430}, {42164, 42497}, {42165, 42496}, {42166, 42429}, {42260, 43336}, {42261, 43337}, {42263, 43431}, {42264, 43430}, {42275, 43433}, {42276, 43432}, {42528, 42793}, {42529, 42794}, {42598, 42909}, {42599, 42908}, {42688, 42989}, {42689, 42988}, {42912, 43633}, {42913, 43632}, {42926, 42983}, {42927, 42982}, {42998, 43631}, {42999, 43630}, {43150, 48885}, {43211, 43380}, {43212, 43381}, {43401, 43544}, {43402, 43545}, {48881, 55596}, {48892, 55706}, {48896, 55630}, {50808, 61249}, {50959, 55677}, {50972, 55647}, {50975, 53092}, {50982, 55606}, {50991, 55623}, {51023, 55620}, {59420, 61524}

X(62136) = midpoint of X(i) and X(j) for these {i,j}: {20, 12103}, {140, 1657}, {548, 15704}, {3529, 3853}, {5066, 15683}, {14893, 15685}, {15681, 15690}, {18583, 48879}
X(62136) = reflection of X(i) in X(j) for these {i,j}: {10110, 55286}, {11737, 8703}, {11812, 376}, {12102, 3530}, {14891, 15690}, {382, 12811}, {3627, 16239}, {3628, 548}, {3853, 12108}, {3861, 3}, {46849, 11592}
X(62136) = complement of X(62038)
X(62136) = pole of line {185, 55859} with respect to the Jerabek hyperbola
X(62136) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(547), X(14861)}}, {{A, B, C, X(632), X(13623)}}, {{A, B, C, X(1105), X(55859)}}, {{A, B, C, X(1294), X(3861)}}, {{A, B, C, X(3521), X(41991)}}, {{A, B, C, X(3528), X(43970)}}, {{A, B, C, X(3532), X(44878)}}, {{A, B, C, X(6662), X(41099)}}, {{A, B, C, X(12103), X(34483)}}, {{A, B, C, X(13596), X(57730)}}, {{A, B, C, X(14865), X(57714)}}, {{A, B, C, X(26861), X(41981)}}
X(62136) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 10124, 3530}, {3, 17578, 15699}, {3, 30, 3861}, {3, 382, 5071}, {3, 3855, 15713}, {3, 3858, 140}, {3, 7486, 549}, {4, 15709, 5068}, {4, 15717, 1656}, {4, 3523, 5055}, {4, 3534, 550}, {4, 3628, 3850}, {5, 17538, 15690}, {20, 15686, 12103}, {20, 17538, 15681}, {20, 3534, 15704}, {30, 12108, 3853}, {30, 12811, 382}, {30, 3530, 12102}, {30, 376, 11812}, {30, 8703, 11737}, {140, 1657, 30}, {140, 546, 5056}, {376, 15707, 8703}, {382, 12100, 12811}, {546, 15716, 16239}, {548, 12103, 3534}, {548, 17800, 3856}, {549, 15704, 17800}, {550, 15712, 376}, {1656, 15684, 4}, {3523, 15716, 15712}, {3528, 15022, 15706}, {3528, 15721, 3}, {3529, 15717, 15684}, {3530, 12102, 10109}, {3530, 3628, 14890}, {3534, 15681, 10304}, {3534, 15704, 548}, {3543, 14869, 3859}, {3627, 15713, 3855}, {3627, 16239, 3860}, {3628, 11812, 3526}, {3853, 8703, 12108}, {3857, 15704, 3529}, {3857, 8703, 15717}, {5072, 17800, 15640}, {10303, 12811, 3628}, {10304, 11540, 14891}, {10304, 14891, 15759}, {10304, 15683, 15682}, {10304, 17678, 15698}, {11001, 15696, 3627}, {11737, 14891, 15702}, {11812, 15699, 10124}, {15681, 17538, 5}, {15682, 15702, 3839}, {15683, 15697, 15709}, {15684, 15717, 3857}, {15687, 15709, 5066}, {15699, 17578, 546}

X(62137) = X(2)X(3)∩X(6)X(43645)

X(62137) lies on these lines: {2, 3}, {6, 43645}, {115, 15603}, {395, 42970}, {396, 42971}, {542, 55593}, {599, 48885}, {1351, 48920}, {3616, 58228}, {3653, 28150}, {3655, 51080}, {4316, 6767}, {4324, 7373}, {5092, 50963}, {5093, 19924}, {5210, 39563}, {5339, 42981}, {5340, 42980}, {5476, 55692}, {5790, 59420}, {6361, 50805}, {6407, 35822}, {6408, 35823}, {6411, 42558}, {6412, 42557}, {6445, 42264}, {6446, 42263}, {6472, 7583}, {6473, 7584}, {6500, 42259}, {6501, 42258}, {6781, 11742}, {7728, 11693}, {8148, 32900}, {9543, 43386}, {9691, 53130}, {9778, 51515}, {9955, 58224}, {10137, 35815}, {10138, 35814}, {10246, 28202}, {10247, 28198}, {11178, 50968}, {11179, 51135}, {11480, 42973}, {11481, 42972}, {11645, 55610}, {12017, 48879}, {12699, 50815}, {12702, 34628}, {12816, 43238}, {12817, 43239}, {13624, 50806}, {13846, 51911}, {13847, 51910}, {13903, 42414}, {13961, 42413}, {15533, 55595}, {16267, 42116}, {16268, 42115}, {16644, 42429}, {16645, 42430}, {16936, 36749}, {16962, 42100}, {16963, 42099}, {16964, 42587}, {16965, 42586}, {17502, 61271}, {17851, 42225}, {18440, 50965}, {18481, 34638}, {18525, 50808}, {18526, 34632}, {19875, 28168}, {21358, 29323}, {22236, 46334}, {22238, 46335}, {22791, 58233}, {25561, 55651}, {28146, 58230}, {28154, 38021}, {28160, 38066}, {28164, 61257}, {28174, 58238}, {28178, 38314}, {28190, 38074}, {28194, 61287}, {28208, 37712}, {29012, 55624}, {29317, 55697}, {31670, 50971}, {31673, 50816}, {32006, 32891}, {33697, 50800}, {33750, 38079}, {33878, 48891}, {34584, 38638}, {35237, 50461}, {35820, 42568}, {35821, 42569}, {36427, 42459}, {36430, 36748}, {36969, 43637}, {36970, 43636}, {37640, 42584}, {37641, 42585}, {37832, 51945}, {37835, 51944}, {38072, 55682}, {38738, 48657}, {39874, 51175}, {39899, 51178}, {41100, 43194}, {41101, 43193}, {42090, 42974}, {42091, 42975}, {42096, 42528}, {42097, 42529}, {42112, 42692}, {42113, 42693}, {42129, 43402}, {42130, 42943}, {42131, 42942}, {42132, 43401}, {42260, 43209}, {42261, 43210}, {42275, 45385}, {42276, 45384}, {42431, 49905}, {42432, 49906}, {42433, 49948}, {42434, 49947}, {42496, 52079}, {42497, 52080}, {42514, 42775}, {42515, 42776}, {42566, 53518}, {42567, 53519}, {42631, 43632}, {42632, 43633}, {42635, 43205}, {42636, 43206}, {42688, 43419}, {42689, 43418}, {42924, 49876}, {42925, 49875}, {42926, 43208}, {42927, 43207}, {42996, 43005}, {42997, 43004}, {43136, 44519}, {43273, 44456}, {43515, 43568}, {43516, 43569}, {43621, 50983}, {46264, 51136}, {47353, 48896}, {48661, 51705}, {48662, 54173}, {48872, 53091}, {48881, 50970}, {48884, 50957}, {48892, 54131}, {48898, 55584}, {48905, 50955}, {50797, 50813}, {50799, 51083}, {50821, 61256}, {50864, 61253}, {50954, 50969}, {50977, 55632}, {50993, 55631}, {51172, 51177}, {51174, 55582}, {51187, 55583}, {54445, 58226}

X(62137) = midpoint of X(i) and X(j) for these {i,j}: {1657, 5054}, {3545, 15683}, {10304, 11001}, {14269, 15685}, {15681, 15689}
X(62137) = reflection of X(i) in X(j) for these {i,j}: {10304, 550}, {14269, 3}, {15684, 14269}, {15689, 3534}, {15699, 548}, {17504, 15690}, {3, 15689}, {381, 10304}, {382, 3545}, {3543, 15699}, {3545, 8703}, {3830, 5054}, {4, 17504}, {5054, 376}, {5055, 15688}, {7728, 11693}
X(62137) = inverse of X(61949) in orthocentroidal circle
X(62137) = inverse of X(61949) in Yff hyperbola
X(62137) = anticomplement of X(61995)
X(62137) = pole of line {523, 61949} with respect to the orthocentroidal circle
X(62137) = pole of line {185, 55866} with respect to the Jerabek hyperbola
X(62137) = pole of line {6, 61949} with respect to the Kiepert hyperbola
X(62137) = pole of line {523, 61949} with respect to the Yff hyperbola
X(62137) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1105), X(55866)}}, {{A, B, C, X(1294), X(14269)}}, {{A, B, C, X(18317), X(50687)}}, {{A, B, C, X(33923), X(57822)}}, {{A, B, C, X(44245), X(60122)}}
X(62137) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15691, 15696}, {3, 15681, 15685}, {3, 15685, 15684}, {3, 15703, 15722}, {3, 30, 14269}, {3, 3830, 15703}, {4, 14093, 15701}, {20, 12103, 1657}, {20, 15686, 3534}, {20, 3534, 15681}, {30, 15688, 5055}, {30, 15690, 17504}, {30, 15699, 3543}, {30, 17504, 4}, {30, 3545, 382}, {30, 5054, 3830}, {30, 548, 15699}, {30, 8703, 3545}, {376, 10124, 14093}, {376, 11001, 3146}, {376, 15683, 14893}, {381, 3534, 550}, {546, 15698, 15723}, {547, 15640, 5076}, {547, 3528, 15716}, {548, 15699, 15710}, {550, 15704, 3853}, {632, 3850, 4190}, {1656, 15689, 7491}, {1657, 3534, 376}, {3522, 3845, 15700}, {3523, 15715, 12100}, {3525, 3543, 3860}, {3528, 15640, 547}, {3529, 15697, 549}, {3534, 15696, 15691}, {3543, 15693, 3851}, {3545, 15706, 15694}, {3545, 8703, 15706}, {3628, 3853, 3858}, {3830, 15718, 5}, {3830, 5055, 3839}, {3845, 15691, 16434}, {3845, 15700, 5070}, {5054, 15705, 15718}, {5054, 15706, 3523}, {5055, 15689, 15688}, {5055, 15707, 11539}, {6932, 11541, 140}, {10304, 11001, 30}, {10304, 15707, 3}, {11001, 17538, 15715}, {11178, 50968, 55639}, {12100, 14893, 3628}, {12101, 15702, 5072}, {12108, 15709, 5054}, {12811, 15704, 3529}, {15681, 15694, 15683}, {15681, 15695, 17800}, {15681, 17800, 11001}, {15683, 17538, 8703}, {15689, 15707, 15695}, {15689, 17800, 15707}, {15691, 15704, 2}, {15695, 15707, 10304}, {15695, 17800, 381}, {15696, 15704, 5073}, {15699, 15710, 15693}, {15706, 17538, 15689}, {15719, 17578, 11737}, {43645, 43646, 6}, {50814, 61244, 34718}

X(62138) = X(2)X(3)∩X(15)X(43230)

X(62138) lies on these lines: {2, 3}, {15, 43230}, {16, 43231}, {397, 42635}, {398, 42636}, {485, 42641}, {486, 42642}, {524, 48891}, {542, 55592}, {597, 48879}, {1327, 42576}, {1328, 42577}, {1503, 55599}, {3070, 42525}, {3071, 42524}, {3564, 55589}, {3579, 38098}, {3626, 28208}, {3629, 48880}, {3631, 11645}, {4324, 15170}, {4677, 28224}, {4745, 28160}, {5093, 51177}, {5334, 43208}, {5335, 43207}, {5790, 50813}, {5886, 50820}, {6329, 48892}, {6409, 43515}, {6410, 43516}, {6435, 42418}, {6436, 42417}, {6451, 42526}, {6452, 42527}, {6453, 43785}, {6454, 43786}, {6459, 6499}, {6460, 6498}, {6781, 39593}, {8584, 55717}, {9778, 50823}, {10175, 51083}, {11542, 42791}, {11543, 42792}, {11694, 34584}, {11742, 15048}, {13925, 51911}, {13993, 51910}, {14561, 50976}, {14810, 51143}, {15534, 48873}, {17502, 51079}, {17508, 51134}, {18481, 34747}, {18510, 43787}, {18512, 43788}, {18538, 42606}, {18762, 42607}, {19106, 42504}, {19107, 42505}, {19924, 20583}, {22165, 55605}, {22250, 61598}, {22793, 51109}, {28146, 50815}, {28150, 51108}, {28154, 50828}, {28172, 50816}, {28174, 51071}, {28178, 51705}, {28182, 51709}, {28186, 50808}, {28190, 50821}, {28194, 51095}, {28202, 51103}, {28216, 50824}, {28232, 51080}, {29012, 50991}, {29181, 55713}, {29317, 50971}, {30308, 50833}, {31662, 51075}, {31663, 51069}, {31730, 34641}, {32787, 42643}, {32788, 42644}, {33416, 43476}, {33417, 43475}, {33750, 50963}, {35021, 61600}, {35022, 61599}, {35023, 61605}, {35024, 61604}, {36836, 49811}, {36843, 49810}, {39884, 50993}, {40693, 42586}, {40694, 42587}, {41100, 42087}, {41101, 42088}, {41112, 42626}, {41113, 42625}, {41119, 42097}, {41120, 42096}, {41121, 42137}, {41122, 42136}, {41943, 43546}, {41944, 43547}, {42090, 49947}, {42091, 49948}, {42093, 43247}, {42094, 43246}, {42099, 42507}, {42100, 42506}, {42101, 43871}, {42102, 43872}, {42115, 49824}, {42116, 49825}, {42117, 42510}, {42118, 42511}, {42122, 43106}, {42123, 43105}, {42126, 49861}, {42127, 49862}, {42130, 42634}, {42131, 42633}, {42144, 49859}, {42145, 49860}, {42147, 42419}, {42148, 42420}, {42164, 42938}, {42165, 42939}, {42225, 53131}, {42226, 53130}, {42415, 42509}, {42416, 42508}, {42431, 49903}, {42432, 49904}, {42433, 42977}, {42434, 42976}, {42502, 42629}, {42503, 42630}, {42532, 42584}, {42533, 42585}, {42627, 42941}, {42628, 42940}, {42686, 43636}, {42687, 43637}, {42817, 43487}, {42818, 43488}, {42904, 43373}, {42905, 43372}, {42930, 43642}, {42931, 43641}, {43209, 52047}, {43210, 52048}, {43401, 49907}, {43402, 49908}, {43521, 45384}, {43522, 45385}, {44882, 55714}, {46893, 53144}, {48881, 55598}, {48885, 55619}, {48896, 54169}, {48898, 55581}, {48920, 55719}, {50709, 61606}, {50829, 61262}, {50866, 61263}, {50956, 55654}, {50965, 55613}, {50968, 51186}, {50979, 59411}, {50981, 55643}, {50985, 55591}, {50990, 55610}, {51022, 55649}, {51070, 61249}, {51130, 55695}, {51737, 55707}

X(62138) = midpoint of X(i) and X(j) for these {i,j}: {5, 15683}, {20, 15686}, {376, 15704}, {549, 1657}, {550, 15681}, {597, 48879}, {3529, 15687}, {3845, 15685}, {8703, 11001}, {48896, 54169}
X(62138) = reflection of X(i) in X(j) for these {i,j}: {140, 376}, {12100, 15690}, {12101, 12100}, {12103, 15686}, {14893, 3}, {15682, 3860}, {15684, 3861}, {15687, 3530}, {15690, 3534}, {15691, 12103}, {382, 11737}, {3543, 3628}, {3627, 10124}, {3830, 11812}, {3845, 15759}, {3853, 549}, {3859, 14093}, {4, 14891}, {547, 548}, {548, 15691}, {5066, 8703}
X(62138) = complement of X(62039)
X(62138) = anticomplement of X(61997)
X(62138) = pole of line {185, 61876} with respect to the Jerabek hyperbola
X(62138) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(14893)}}, {{A, B, C, X(3845), X(57897)}}, {{A, B, C, X(3853), X(18317)}}
X(62138) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10299, 15701}, {2, 14869, 11540}, {2, 15682, 14269}, {2, 15707, 15713}, {2, 3534, 550}, {2, 3845, 11737}, {3, 30, 14893}, {4, 15701, 6846}, {20, 15686, 30}, {30, 10124, 3627}, {30, 11737, 382}, {30, 12103, 15691}, {30, 14093, 3859}, {30, 14891, 4}, {30, 15686, 12103}, {30, 3530, 15687}, {30, 3628, 3543}, {30, 3861, 15684}, {30, 549, 3853}, {140, 15759, 12100}, {140, 382, 546}, {140, 3853, 3091}, {376, 11541, 15708}, {376, 15640, 15693}, {376, 382, 17504}, {376, 5059, 5055}, {376, 5067, 10304}, {381, 15710, 14869}, {549, 3853, 14892}, {550, 15687, 15688}, {1657, 15695, 15682}, {1657, 3534, 15695}, {3091, 15717, 3533}, {3091, 3845, 3860}, {3146, 14093, 15699}, {3522, 15684, 11539}, {3528, 15682, 2}, {3534, 11001, 8703}, {3534, 15685, 376}, {3534, 15704, 15759}, {3534, 3830, 15697}, {3545, 15714, 12108}, {3627, 10304, 10124}, {3830, 8703, 11812}, {3851, 15688, 15715}, {6977, 15717, 3526}, {11001, 15640, 15685}, {11001, 15697, 3830}, {11539, 15684, 3861}, {11540, 15759, 15717}, {11540, 17538, 15690}, {11737, 17504, 140}, {12100, 12101, 547}, {12100, 15690, 548}, {12103, 15690, 3534}, {14269, 15681, 1657}, {14892, 15682, 12101}, {15640, 15693, 3845}, {15640, 15759, 5066}, {15681, 15688, 3529}, {15681, 15700, 15683}, {15682, 15695, 549}, {15683, 15689, 5}, {15683, 15708, 11541}, {15685, 15693, 15640}, {15687, 15688, 3530}, {41101, 42088, 43109}

X(62139) = X(2)X(3)∩X(13)X(42684)

X(62139) lies on these lines: {2, 3}, {13, 42684}, {14, 42685}, {524, 48920}, {551, 28182}, {952, 34638}, {1151, 43342}, {1152, 43343}, {3655, 28216}, {4316, 15170}, {5097, 51135}, {5237, 33606}, {5238, 33607}, {5844, 34628}, {5901, 50815}, {6200, 41954}, {6396, 41953}, {6439, 42264}, {6440, 42263}, {6441, 42216}, {6442, 42215}, {6455, 42639}, {6456, 42640}, {6476, 35822}, {6477, 35823}, {6478, 7583}, {6479, 7584}, {6484, 42572}, {6485, 42573}, {9956, 50816}, {11645, 50982}, {11742, 18907}, {12007, 19924}, {12117, 14692}, {13607, 28198}, {13846, 43340}, {13847, 43341}, {14927, 50978}, {16644, 42889}, {16645, 42888}, {16962, 42965}, {16963, 42964}, {18583, 50971}, {20070, 50831}, {23251, 43568}, {23261, 43569}, {24206, 50972}, {28194, 32900}, {28208, 50827}, {33179, 51080}, {33751, 50959}, {35255, 41952}, {35256, 41951}, {36967, 42584}, {36968, 42585}, {38079, 43621}, {41943, 42429}, {41944, 42430}, {42096, 43198}, {42097, 43197}, {42101, 43876}, {42102, 43875}, {42104, 51944}, {42105, 51945}, {42122, 61719}, {42136, 42528}, {42137, 42529}, {42144, 42497}, {42145, 42496}, {42147, 43109}, {42148, 43108}, {42157, 43635}, {42158, 43634}, {42164, 42631}, {42165, 42632}, {42266, 52048}, {42267, 52047}, {42271, 43212}, {42272, 43211}, {42431, 42791}, {42432, 42792}, {42490, 43246}, {42491, 43247}, {42543, 43100}, {42544, 43107}, {42627, 43483}, {42628, 43484}, {42924, 42934}, {42925, 42935}, {43110, 43245}, {43111, 43244}, {43273, 61624}, {48661, 50819}, {48662, 50966}, {48872, 50979}, {48874, 50985}, {48879, 51737}, {48896, 50965}, {48898, 51140}, {50808, 61510}, {50811, 61597}, {50865, 51700}, {50958, 55612}, {50964, 55671}, {50986, 61044}, {50994, 55620}, {51024, 51732}, {51026, 58445}, {51042, 61623}, {51120, 61281}, {51184, 55616}

X(62139) = midpoint of X(i) and X(j) for these {i,j}: {5, 15685}, {549, 15683}, {550, 11001}, {1657, 8703}, {3529, 3845}, {3534, 15704}, {14927, 50978}, {15681, 15686}, {20070, 50831}, {48872, 50979}, {48879, 51737}, {48896, 50965}, {50986, 61044}
X(62139) = reflection of X(i) in X(j) for these {i,j}: {140, 15690}, {12100, 550}, {12101, 3}, {15682, 3850}, {15687, 14891}, {15690, 12103}, {15691, 15686}, {18583, 50971}, {24206, 50972}, {382, 10109}, {3543, 10124}, {3627, 11812}, {3830, 3530}, {3853, 12100}, {33179, 51080}, {4, 15759}, {546, 8703}, {547, 376}, {548, 3534}, {5066, 548}, {5097, 51135}, {50865, 51700}, {5901, 50815}, {50958, 55612}, {50959, 33751}, {51024, 51732}, {51026, 58445}, {51120, 61281}, {61510, 50808}, {61545, 50965}, {61597, 50811}, {61623, 51042}, {61624, 43273}, {9956, 50816}
X(62139) = anticomplement of X(61999)
X(62139) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(58208)}}, {{A, B, C, X(1294), X(12101)}}, {{A, B, C, X(11539), X(13623)}}
X(62139) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 3859, 140}, {5, 15698, 14890}, {20, 15681, 15686}, {30, 10109, 382}, {30, 10124, 3543}, {30, 11812, 3627}, {30, 12100, 3853}, {30, 12103, 15690}, {30, 14891, 15687}, {30, 15686, 15691}, {30, 15759, 4}, {30, 3530, 3830}, {30, 3534, 548}, {30, 3850, 15682}, {30, 550, 12100}, {30, 8703, 546}, {376, 15683, 15684}, {376, 15687, 14891}, {376, 15700, 8703}, {376, 15721, 14093}, {376, 3543, 15700}, {376, 381, 15714}, {381, 14093, 15707}, {381, 15681, 11001}, {381, 15695, 15715}, {381, 3853, 14893}, {381, 549, 3628}, {549, 15686, 3534}, {550, 11539, 15695}, {1657, 3534, 5055}, {3146, 15695, 11539}, {3146, 15715, 381}, {3526, 3534, 15689}, {3529, 15689, 3845}, {3530, 3830, 14892}, {3534, 10304, 550}, {3534, 15681, 15683}, {3534, 15684, 376}, {3534, 15685, 15698}, {3534, 17800, 10304}, {3543, 15692, 5068}, {3543, 8703, 10124}, {3627, 15688, 11812}, {3830, 15709, 3857}, {3839, 15711, 16239}, {3845, 8703, 15722}, {5055, 15722, 3526}, {10304, 11001, 17800}, {11111, 15721, 15702}, {11540, 12101, 5066}, {11540, 15640, 12101}, {13635, 17538, 6977}, {14891, 15687, 547}, {15681, 15683, 15704}, {15681, 15686, 30}, {15682, 15696, 17504}, {15682, 17504, 3850}, {15686, 15691, 12103}, {15686, 15704, 549}, {42144, 42625, 42497}, {42145, 42626, 42496}

X(62140) = X(2)X(3)∩X(1327)X(6455)

X(62140) lies on these lines: {2, 3}, {542, 55591}, {599, 48896}, {1327, 6455}, {1328, 6456}, {3311, 43209}, {3312, 43210}, {3655, 51120}, {3818, 50968}, {4746, 31730}, {4816, 34718}, {5041, 44519}, {5097, 48872}, {5102, 19924}, {5339, 42631}, {5340, 42632}, {6361, 34748}, {6407, 42414}, {6408, 42413}, {6417, 43256}, {6418, 43257}, {6427, 42418}, {6428, 42417}, {6429, 35822}, {6430, 35823}, {6433, 13665}, {6434, 13785}, {6437, 18512}, {6438, 18510}, {6449, 43887}, {6450, 43888}, {6480, 42264}, {6481, 42263}, {6484, 13903}, {6485, 13961}, {6486, 13846}, {6487, 13847}, {6496, 42602}, {6497, 42603}, {8717, 53780}, {10139, 35815}, {10140, 35814}, {10168, 50976}, {10516, 55645}, {11178, 55636}, {11179, 51166}, {11180, 55604}, {11237, 51817}, {11278, 50811}, {11480, 42429}, {11481, 42430}, {11645, 55603}, {11693, 38723}, {12017, 50971}, {12355, 38749}, {12702, 34638}, {14848, 29317}, {14915, 54047}, {15602, 44541}, {16200, 28198}, {16241, 42962}, {16242, 42963}, {16267, 42127}, {16268, 42126}, {16644, 43296}, {16645, 43297}, {16808, 51945}, {16809, 51944}, {16962, 42815}, {16963, 42816}, {18440, 55607}, {18480, 50812}, {18481, 50805}, {18483, 51079}, {18526, 34628}, {19106, 43199}, {19107, 43200}, {20582, 55648}, {21356, 55624}, {21850, 50975}, {22115, 44747}, {22165, 55602}, {22791, 50819}, {25055, 28154}, {25565, 55671}, {28146, 30392}, {28182, 58230}, {28190, 53620}, {28208, 59503}, {29012, 55618}, {29323, 55640}, {33878, 51175}, {34754, 42155}, {34755, 42154}, {35253, 37493}, {36967, 42131}, {36968, 42130}, {36990, 55633}, {37517, 43273}, {37705, 50809}, {38066, 38155}, {38634, 41135}, {39561, 59411}, {39899, 48880}, {41100, 42890}, {41101, 42891}, {41107, 42586}, {41108, 42587}, {42096, 42901}, {42097, 42900}, {42099, 42975}, {42100, 42974}, {42108, 43100}, {42109, 43107}, {42125, 42528}, {42128, 42529}, {42160, 42792}, {42161, 42791}, {42813, 42952}, {42814, 42953}, {42928, 43325}, {42929, 43324}, {43211, 52667}, {43212, 52666}, {43254, 53518}, {43255, 53519}, {43314, 43789}, {43315, 43790}, {43380, 43515}, {43381, 43516}, {43407, 52047}, {43408, 52048}, {43621, 50963}, {43632, 49948}, {43633, 49947}, {43787, 43890}, {43788, 43889}, {46264, 50962}, {47352, 55685}, {47353, 48885}, {47354, 55639}, {48879, 50664}, {48881, 50955}, {48892, 51024}, {48898, 55722}, {48905, 51027}, {48910, 55691}, {48920, 55587}, {48943, 51137}, {50797, 50868}, {50800, 50816}, {50806, 51119}, {50807, 51081}, {50869, 61268}, {50954, 51025}, {50957, 50972}, {50969, 55632}, {51087, 58244}, {51186, 55637}, {51188, 55588}, {53023, 55680}

X(62140) = midpoint of X(i) and X(j) for these {i,j}: {1657, 15688}, {3524, 15683}, {3529, 3839}, {5055, 15685}
X(62140) = reflection of X(i) in X(j) for these {i,j}: {11539, 15690}, {14269, 10304}, {15684, 3839}, {15688, 3534}, {381, 15688}, {382, 5055}, {3524, 550}, {3543, 11539}, {3830, 3524}, {3839, 8703}, {5054, 15689}, {5055, 376}
X(62140) = anticomplement of X(62001)
X(62140) = pole of line {185, 61878} with respect to the Jerabek hyperbola
X(62140) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(38335)}}, {{A, B, C, X(17504), X(46168)}}, {{A, B, C, X(46853), X(57822)}}
X(62140) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15690, 6891}, {2, 6848, 3860}, {3, 11812, 15700}, {3, 15681, 11001}, {3, 15723, 15693}, {3, 3830, 547}, {3, 3843, 3533}, {3, 3845, 15723}, {3, 3853, 1656}, {3, 5055, 15708}, {3, 5059, 382}, {3, 5073, 3832}, {4, 15691, 15695}, {20, 11001, 15686}, {20, 15681, 3534}, {30, 10304, 14269}, {30, 11539, 3543}, {30, 15690, 11539}, {30, 3524, 3830}, {30, 376, 5055}, {30, 3839, 15684}, {30, 550, 3524}, {376, 11001, 5059}, {376, 11541, 2}, {376, 15640, 140}, {376, 15704, 15685}, {376, 15717, 8703}, {376, 3091, 15759}, {381, 15688, 15706}, {381, 3534, 15696}, {382, 3534, 376}, {548, 15682, 15694}, {550, 3830, 14093}, {1012, 3090, 3091}, {1656, 12108, 3526}, {1657, 15688, 30}, {1657, 3534, 381}, {1657, 5076, 17800}, {3090, 15714, 15722}, {3090, 3525, 16408}, {3091, 10303, 404}, {3522, 15687, 15701}, {3524, 12108, 15707}, {3528, 5066, 15718}, {3534, 14093, 550}, {3534, 15681, 1657}, {3534, 15716, 15697}, {3534, 5054, 15689}, {3543, 15719, 3850}, {3853, 8703, 15702}, {6958, 15685, 6926}, {8703, 11737, 15717}, {10304, 14269, 5054}, {11001, 15686, 3}, {11001, 15702, 3529}, {11737, 15759, 12108}, {12103, 15704, 11541}, {14269, 15689, 10304}, {14893, 15698, 5070}, {15681, 15685, 15704}, {15684, 15707, 3839}, {15686, 15704, 3845}, {15687, 15701, 5072}, {15696, 15706, 15688}, {15704, 15759, 15683}, {15715, 17578, 10109}

X(62141) = X(2)X(3)∩X(15)X(42781)

X(62141) lies on these lines: {2, 3}, {15, 42781}, {16, 42782}, {61, 42584}, {62, 42585}, {145, 58249}, {1503, 55597}, {3244, 28212}, {3311, 42575}, {3312, 42574}, {3411, 43208}, {3412, 43207}, {3564, 48920}, {3625, 28224}, {3626, 28186}, {3629, 48898}, {3630, 52987}, {3631, 55606}, {3636, 28146}, {4316, 15172}, {5237, 42630}, {5238, 42629}, {5318, 42929}, {5321, 42928}, {5351, 42136}, {5352, 42137}, {6144, 48873}, {6329, 29317}, {6407, 43788}, {6408, 43787}, {6425, 42226}, {6426, 42225}, {6431, 43336}, {6432, 43337}, {6488, 8981}, {6489, 13966}, {10147, 43318}, {10148, 43319}, {10222, 28216}, {10653, 43634}, {10654, 43635}, {11008, 55580}, {12820, 42488}, {12821, 42489}, {13392, 38791}, {13925, 42276}, {13993, 42275}, {14449, 14855}, {14927, 55595}, {15034, 61598}, {15178, 28178}, {15808, 31666}, {16189, 34773}, {16772, 42429}, {16773, 42430}, {16936, 39522}, {17852, 42263}, {18357, 59420}, {18358, 55637}, {18583, 55694}, {22234, 44882}, {22330, 29181}, {28182, 51700}, {29012, 55617}, {31834, 36987}, {32423, 38626}, {32455, 48891}, {34380, 48880}, {36836, 42145}, {36843, 42144}, {36967, 43111}, {36968, 43110}, {38731, 52886}, {39884, 55626}, {40341, 48874}, {41869, 58229}, {42087, 42416}, {42088, 42415}, {42101, 42591}, {42102, 42590}, {42112, 42628}, {42113, 42627}, {42140, 43198}, {42141, 43197}, {42143, 43196}, {42146, 43195}, {42163, 42888}, {42166, 42889}, {42433, 42801}, {42434, 42802}, {42435, 42779}, {42436, 42780}, {42496, 42939}, {42497, 42938}, {42543, 42978}, {42544, 42979}, {42633, 43769}, {42634, 43770}, {42641, 43570}, {42642, 43571}, {42797, 42814}, {42798, 42813}, {42890, 43646}, {42891, 43645}, {42916, 43487}, {42917, 43488}, {42940, 43551}, {42941, 43550}, {43102, 43472}, {43103, 43471}, {43879, 51911}, {43880, 51910}, {45384, 60305}, {45385, 60306}, {48872, 53858}, {48879, 55708}, {48881, 55600}, {48885, 55623}, {48892, 51732}, {48896, 55611}, {50812, 61258}, {51094, 58242}, {51163, 55681}, {57894, 57896}

X(62141) = midpoint of X(i) and X(j) for these {i,j}: {546, 3529}, {547, 15685}, {548, 1657}, {11001, 15691}, {12100, 15683}, {12103, 15704}
X(62141) = reflection of X(i) in X(j) for these {i,j}: {10109, 376}, {10124, 15690}, {12102, 3}, {14890, 15689}, {15759, 15691}, {3530, 550}, {3543, 11540}, {3627, 12108}, {3850, 548}, {51732, 48892}
X(62141) = pole of line {185, 55861} with respect to the Jerabek hyperbola
X(62141) = intersection, other than A, B, C, of circumconics {{A, B, C, X(546), X(57896)}}, {{A, B, C, X(548), X(57894)}}, {{A, B, C, X(1105), X(55861)}}, {{A, B, C, X(1294), X(12102)}}, {{A, B, C, X(10304), X(43970)}}
X(62141) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 14093, 17504}, {2, 15710, 15718}, {2, 3627, 546}, {3, 12102, 3628}, {3, 30, 12102}, {3, 3146, 3857}, {3, 3544, 14869}, {3, 3627, 12812}, {3, 382, 3544}, {3, 3857, 140}, {4, 15701, 5}, {5, 550, 15688}, {20, 15681, 550}, {20, 1657, 15686}, {21, 3544, 1656}, {30, 11540, 3543}, {30, 15689, 14890}, {30, 15690, 10124}, {30, 15691, 15759}, {30, 376, 10109}, {30, 548, 3850}, {30, 550, 3530}, {140, 15703, 16239}, {140, 546, 5079}, {546, 10299, 1010}, {546, 3628, 11737}, {548, 12812, 3}, {548, 14893, 15712}, {550, 15687, 3528}, {550, 15704, 3529}, {631, 3544, 16408}, {631, 6847, 5056}, {1657, 12103, 12108}, {1657, 3534, 3843}, {3146, 5079, 15687}, {3528, 3529, 3146}, {3529, 15681, 15704}, {3627, 15686, 17538}, {3627, 15704, 1657}, {3627, 15712, 5072}, {3627, 5072, 14893}, {3832, 6893, 5066}, {3843, 3850, 3860}, {10124, 14093, 14891}, {11001, 15691, 30}, {11112, 15710, 15707}, {14892, 15690, 14093}, {15681, 15688, 11001}, {15684, 15686, 15691}, {15684, 15688, 2}, {15686, 15704, 3627}, {15686, 17538, 12103}, {15689, 15712, 548}

X(62142) = X(2)X(3)∩X(15)X(42689)

X(62142) lies on these lines: {2, 3}, {15, 42689}, {16, 42688}, {944, 58247}, {1351, 48891}, {3070, 9690}, {3071, 43415}, {4316, 7373}, {4324, 6767}, {5050, 48879}, {5093, 48872}, {5339, 43427}, {5340, 43426}, {5925, 45185}, {6199, 42267}, {6395, 42266}, {6407, 35815}, {6408, 35814}, {6445, 8960}, {6446, 58866}, {6474, 7583}, {6475, 7584}, {6500, 42258}, {6501, 42259}, {6560, 43785}, {6561, 43786}, {7756, 21309}, {10645, 42909}, {10646, 42908}, {10992, 14692}, {11480, 42691}, {11481, 42690}, {11485, 41974}, {11486, 41973}, {11522, 58230}, {11645, 55602}, {12290, 54047}, {13846, 43438}, {13847, 43439}, {13903, 43413}, {13961, 43414}, {14841, 43691}, {16936, 36753}, {17851, 42413}, {18553, 55629}, {29012, 55616}, {29317, 55705}, {29323, 55639}, {31454, 43342}, {33878, 48920}, {34507, 55604}, {34773, 58238}, {36990, 55632}, {41963, 42276}, {41964, 42275}, {42087, 56609}, {42088, 56608}, {42090, 42988}, {42091, 42989}, {42096, 43423}, {42097, 43422}, {42099, 43023}, {42100, 43022}, {42112, 42944}, {42113, 42945}, {42115, 42432}, {42116, 42431}, {42122, 43769}, {42123, 43770}, {42125, 42686}, {42128, 42687}, {42130, 42151}, {42131, 42150}, {42149, 42685}, {42152, 42684}, {42153, 42430}, {42156, 42429}, {42159, 42793}, {42162, 42794}, {42271, 43410}, {42272, 43409}, {42414, 43411}, {42488, 51945}, {42489, 51944}, {42530, 43296}, {42531, 43297}, {42584, 42998}, {42585, 42999}, {42773, 42955}, {42774, 42954}, {42964, 42993}, {42965, 42992}, {43150, 48896}, {43300, 43775}, {43301, 43776}, {44456, 48898}, {48662, 48881}, {48880, 55584}, {48884, 55648}, {48885, 55624}, {48892, 55697}, {48904, 55678}, {48905, 55593}, {48910, 55692}, {48942, 55656}, {48943, 55671}, {50819, 61278}, {50963, 55684}, {50976, 55681}, {50993, 55628}, {51140, 55724}, {53091, 59411}

X(62142) = midpoint of X(i) and X(j) for these {i,j}: {3529, 3832}, {15683, 15698}, {15685, 15703}
X(62142) = reflection of X(i) in X(j) for these {i,j}: {382, 3090}, {3523, 550}, {3830, 15700}, {3857, 548}
X(62142) = pole of line {185, 55860} with respect to the Jerabek hyperbola
X(62142) = pole of line {6, 43438} with respect to the Kiepert hyperbola
X(62142) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1105), X(55860)}}, {{A, B, C, X(3519), X(11001)}}, {{A, B, C, X(3525), X(13623)}}, {{A, B, C, X(5059), X(14841)}}, {{A, B, C, X(5067), X(14861)}}, {{A, B, C, X(17538), X(34483)}}, {{A, B, C, X(43719), X(47485)}}, {{A, B, C, X(44763), X(44879)}}
X(62142) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 17800, 15684}, {3, 5070, 15722}, {4, 10304, 140}, {4, 140, 5072}, {4, 15022, 3858}, {4, 15704, 1657}, {4, 3522, 549}, {4, 3526, 3851}, {4, 5056, 3856}, {20, 11001, 12103}, {20, 15681, 3}, {20, 3529, 15686}, {30, 15700, 3830}, {30, 548, 3857}, {30, 550, 3523}, {382, 12103, 15689}, {548, 15704, 15683}, {548, 3857, 15698}, {550, 3850, 3522}, {550, 5059, 1656}, {1656, 1657, 5059}, {1656, 5059, 5073}, {3146, 15688, 5070}, {3522, 12101, 15720}, {3523, 3533, 14869}, {3525, 16854, 632}, {3526, 3857, 5055}, {3534, 15640, 15695}, {3534, 15704, 17800}, {3545, 16393, 12812}, {3627, 15759, 7486}, {3830, 15695, 15719}, {3843, 6978, 15685}, {3850, 12103, 550}, {3851, 6916, 15694}, {3857, 15698, 3526}, {5072, 15696, 10304}, {6914, 14891, 631}, {6961, 15685, 3146}, {10304, 15686, 3534}, {11001, 12103, 382}, {11541, 15697, 3530}, {13635, 17538, 4}, {14813, 14814, 11001}, {15681, 17800, 15704}, {15683, 15698, 30}, {15711, 17538, 15696}

X(62143) = X(2)X(3)∩X(39)X(11742)

X(62143) lies on these lines: {2, 3}, {39, 11742}, {61, 42131}, {62, 42130}, {156, 41470}, {575, 48879}, {576, 48872}, {599, 55611}, {1352, 55620}, {1482, 28232}, {1503, 55595}, {3070, 6519}, {3071, 6522}, {3303, 4324}, {3304, 4316}, {3592, 42267}, {3594, 42266}, {3763, 55650}, {3818, 55641}, {5237, 42096}, {5238, 42097}, {5346, 6781}, {5351, 42125}, {5352, 42128}, {5895, 50414}, {5965, 48880}, {6199, 43407}, {6395, 43408}, {6427, 42258}, {6428, 42259}, {6447, 18512}, {6448, 18510}, {6449, 42276}, {6450, 42275}, {6451, 22644}, {6452, 22615}, {6453, 42264}, {6454, 42263}, {6455, 42272}, {6456, 42271}, {6496, 42284}, {6497, 42283}, {7772, 44519}, {7936, 11164}, {7982, 32900}, {8717, 37472}, {8718, 9703}, {8960, 10147}, {8976, 51911}, {9681, 43322}, {9690, 43788}, {9691, 43883}, {10148, 58866}, {10516, 55644}, {10541, 48892}, {10620, 37486}, {11477, 48898}, {11482, 29181}, {11645, 55600}, {11850, 18442}, {11898, 48905}, {11935, 13346}, {11999, 44788}, {12117, 38628}, {12162, 54047}, {12702, 28236}, {13321, 15012}, {13391, 52093}, {13951, 51910}, {14641, 37484}, {14848, 55704}, {14855, 16625}, {14927, 55593}, {15020, 38789}, {15024, 55286}, {15034, 34584}, {15039, 16163}, {15042, 46686}, {15069, 55597}, {15178, 48661}, {15484, 31652}, {16189, 28198}, {16960, 36836}, {16961, 36843}, {18439, 36987}, {18440, 48896}, {18481, 28228}, {18493, 28154}, {18526, 28234}, {18553, 55628}, {19357, 34563}, {20190, 48910}, {22236, 42100}, {22238, 42099}, {28178, 37624}, {29012, 55614}, {29317, 53093}, {29323, 55637}, {31447, 50812}, {31467, 44541}, {31670, 55701}, {31730, 59503}, {32137, 54041}, {34785, 58795}, {35007, 44526}, {36253, 38788}, {36990, 55631}, {38723, 38791}, {38731, 38745}, {38734, 38742}, {39884, 55624}, {39899, 48873}, {41945, 43785}, {41946, 43786}, {41965, 43879}, {41966, 43880}, {42090, 42165}, {42091, 42164}, {42108, 42956}, {42109, 42957}, {42112, 42163}, {42113, 42166}, {42115, 42160}, {42116, 42161}, {42154, 43233}, {42155, 43232}, {42159, 42682}, {42162, 42683}, {42225, 43320}, {42226, 43321}, {42429, 42997}, {42430, 42996}, {42431, 42626}, {42432, 42625}, {42433, 42989}, {42434, 42988}, {42512, 42945}, {42513, 42944}, {42516, 43769}, {42517, 43770}, {42592, 42773}, {42593, 42774}, {42813, 43372}, {42814, 43373}, {42934, 43646}, {42935, 43645}, {42974, 43633}, {42975, 43632}, {43193, 43304}, {43194, 43305}, {43273, 55718}, {43306, 43465}, {43307, 43466}, {43342, 43523}, {43343, 43524}, {43415, 43787}, {44882, 53092}, {45187, 54048}, {46264, 55724}, {48881, 55602}, {48884, 55647}, {48885, 55626}, {48889, 55652}, {48895, 55675}, {48901, 55684}, {48904, 55679}, {50805, 58245}, {50811, 58240}, {50954, 55623}, {51163, 55682}, {51173, 55694}, {51538, 55692}, {53023, 55681}, {54131, 55708}

X(62143) = midpoint of X(i) and X(j) for these {i,j}: {1657, 15696}, {3091, 3529}, {15685, 15694}
X(62143) = reflection of X(i) in X(j) for these {i,j}: {1656, 15696}, {14093, 3534}, {15694, 15697}, {15697, 15686}, {15711, 15691}, {17578, 15712}, {3, 17538}, {381, 15695}, {382, 1656}, {3543, 15713}, {3830, 15692}, {3843, 3522}, {3858, 548}, {5073, 17578}, {5076, 3}, {631, 550}
X(62143) = anticomplement of X(62006)
X(62143) = pole of line {185, 55857} with respect to the Jerabek hyperbola
X(62143) = pole of line {69, 55599} with respect to the Wallace hyperbola
X(62143) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(50691)}}, {{A, B, C, X(1105), X(55857)}}, {{A, B, C, X(1294), X(5076)}}, {{A, B, C, X(3521), X(3854)}}, {{A, B, C, X(14861), X(46935)}}, {{A, B, C, X(15686), X(18848)}}, {{A, B, C, X(17505), X(50687)}}, {{A, B, C, X(43970), X(46332)}}
X(62143) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15681, 15704}, {3, 17800, 3146}, {3, 30, 5076}, {3, 3090, 15720}, {3, 3627, 5079}, {3, 382, 5072}, {3, 3830, 3090}, {3, 3843, 632}, {3, 3851, 10303}, {3, 5055, 12108}, {3, 5072, 5054}, {3, 5073, 546}, {3, 5076, 1656}, {3, 546, 3526}, {3, 632, 15693}, {4, 15708, 5}, {4, 20, 15686}, {20, 11001, 550}, {20, 15704, 3}, {20, 3529, 12103}, {30, 15686, 15697}, {30, 15691, 15711}, {30, 15692, 3830}, {30, 15712, 17578}, {30, 15713, 3543}, {30, 3522, 3843}, {30, 548, 3858}, {30, 550, 631}, {376, 17578, 15712}, {381, 15688, 12100}, {381, 1657, 17800}, {381, 3526, 5056}, {548, 3858, 15692}, {550, 11539, 548}, {550, 3853, 10304}, {631, 15712, 15707}, {631, 3522, 15714}, {1656, 15696, 14093}, {1656, 3534, 15696}, {1657, 15720, 5059}, {1657, 3534, 382}, {3090, 3525, 13741}, {3146, 10304, 3544}, {3146, 3544, 3853}, {3529, 17538, 3091}, {3534, 15700, 15689}, {3628, 12100, 14869}, {3851, 6982, 3628}, {3861, 10299, 15703}, {10299, 15640, 3861}, {10303, 12102, 3851}, {11001, 12100, 15685}, {11001, 17800, 1657}, {11737, 12100, 11539}, {11737, 15692, 15694}, {12100, 15697, 15695}, {12103, 15704, 3529}, {12812, 15686, 17538}, {15684, 15715, 381}, {15685, 15686, 15688}, {15685, 15694, 30}, {15686, 15688, 3534}, {15693, 15696, 3522}, {15707, 17800, 5073}

X(62144) = X(2)X(3)∩X(17)X(42137)

X(62144) lies on these lines: {2, 3}, {17, 42137}, {18, 42136}, {40, 61247}, {61, 43244}, {62, 43245}, {74, 13393}, {141, 55633}, {397, 34754}, {398, 34755}, {516, 33179}, {576, 51166}, {952, 5493}, {1154, 14641}, {1352, 55618}, {1385, 28182}, {1503, 48920}, {3070, 6480}, {3071, 6481}, {3564, 48880}, {3579, 28190}, {3589, 55680}, {3818, 55640}, {4297, 28178}, {4299, 15172}, {4316, 15171}, {4324, 18990}, {4325, 15170}, {4857, 15326}, {5008, 7756}, {5097, 29181}, {5102, 48872}, {5237, 42430}, {5238, 42429}, {5270, 15338}, {5305, 6781}, {5318, 43016}, {5321, 43017}, {5339, 42091}, {5340, 42090}, {5343, 42115}, {5344, 42116}, {5349, 10646}, {5350, 10645}, {5351, 42940}, {5352, 42941}, {5447, 32137}, {5480, 55691}, {5690, 61250}, {5876, 36987}, {5882, 11278}, {5892, 55286}, {5901, 28150}, {6221, 42414}, {6243, 52093}, {6284, 37587}, {6390, 7860}, {6398, 42413}, {6411, 10195}, {6412, 10194}, {6419, 43209}, {6420, 43210}, {6427, 43256}, {6428, 43257}, {6429, 42264}, {6430, 42263}, {6431, 42216}, {6432, 42215}, {6433, 8981}, {6434, 13966}, {6437, 42226}, {6438, 42225}, {6445, 23269}, {6446, 23275}, {6451, 23253}, {6452, 23263}, {6455, 52667}, {6456, 52666}, {6468, 43794}, {6469, 43793}, {6482, 31454}, {6484, 8960}, {6485, 58866}, {6486, 13925}, {6487, 13993}, {6519, 31414}, {7728, 22250}, {7802, 32820}, {8550, 37517}, {8717, 32046}, {8718, 37477}, {9589, 50824}, {9680, 43432}, {9729, 12002}, {9778, 37705}, {10171, 58219}, {10222, 51120}, {10263, 14855}, {10483, 51817}, {10627, 14915}, {10990, 32423}, {11180, 55602}, {11381, 54042}, {11432, 35253}, {11485, 43769}, {11486, 43770}, {11522, 51700}, {11531, 18481}, {11542, 42431}, {11543, 42432}, {11623, 61600}, {11694, 38791}, {11801, 37853}, {12279, 13340}, {12512, 18357}, {12699, 30392}, {13348, 44324}, {13364, 17704}, {13382, 13421}, {13391, 46850}, {13392, 38723}, {13464, 28146}, {13474, 32142}, {13607, 58237}, {13624, 28158}, {13903, 43376}, {13961, 43377}, {14449, 40647}, {14861, 34567}, {14864, 61540}, {15311, 45185}, {15644, 31834}, {16200, 28216}, {16252, 32903}, {16266, 35237}, {16534, 34584}, {16936, 44413}, {18358, 29323}, {18480, 59420}, {18553, 48885}, {18581, 42906}, {18582, 42907}, {18583, 48892}, {18907, 44519}, {19106, 42627}, {19107, 42628}, {19116, 43408}, {19117, 43407}, {20070, 61295}, {20190, 50971}, {20418, 61601}, {20582, 55647}, {21850, 55711}, {22165, 55600}, {22235, 42916}, {22237, 42917}, {22791, 61279}, {23302, 42959}, {23303, 42958}, {25555, 55688}, {25561, 50972}, {26861, 57715}, {28154, 40273}, {28160, 43174}, {28164, 61524}, {28172, 31663}, {28186, 31730}, {28198, 61286}, {28228, 58244}, {29012, 55612}, {29317, 50664}, {31406, 43618}, {31447, 34648}, {31670, 55703}, {34380, 48873}, {34507, 48881}, {34573, 48942}, {34785, 44762}, {35255, 42272}, {35256, 42271}, {35770, 42259}, {35771, 42258}, {36836, 42496}, {36843, 42497}, {36967, 41974}, {36968, 41973}, {37484, 45957}, {38079, 55684}, {38110, 43621}, {38726, 38792}, {38735, 38747}, {38736, 38746}, {39561, 44882}, {39884, 55622}, {41121, 42544}, {41122, 42543}, {41869, 61274}, {41977, 43005}, {41978, 43004}, {42087, 42158}, {42088, 42157}, {42096, 42149}, {42097, 42152}, {42101, 42937}, {42102, 42936}, {42112, 42121}, {42113, 42124}, {42117, 42151}, {42118, 42150}, {42119, 43631}, {42120, 43630}, {42130, 42999}, {42131, 42998}, {42135, 43239}, {42138, 43238}, {42147, 42891}, {42148, 42890}, {42160, 42625}, {42161, 42626}, {42163, 42528}, {42164, 42433}, {42165, 42434}, {42166, 42529}, {42266, 43786}, {42267, 43785}, {42510, 42587}, {42511, 42586}, {42686, 44016}, {42687, 44015}, {42813, 43199}, {42814, 43200}, {42908, 43402}, {42909, 43401}, {42934, 43231}, {42935, 43230}, {42942, 43633}, {42943, 43632}, {42980, 43010}, {42981, 43011}, {43105, 43776}, {43106, 43775}, {43254, 43885}, {43255, 43886}, {43422, 49905}, {43423, 49906}, {43887, 53513}, {43888, 53516}, {46264, 55722}, {47354, 55637}, {48310, 55675}, {48874, 48905}, {48876, 55607}, {48901, 55685}, {50978, 55595}, {51127, 55666}, {51128, 55660}, {51163, 55683}, {51537, 55643}, {51732, 55699}

X(62144) = midpoint of X(i) and X(j) for these {i,j}: {5, 3529}, {20, 15704}, {549, 15685}, {550, 1657}, {3627, 17800}, {8703, 15683}, {11001, 15686}, {20070, 61295}, {37484, 45957}, {44882, 48879}, {48872, 48906}, {48874, 48905}, {48881, 48896}
X(62144) = reflection of X(i) in X(j) for these {i,j}: {140, 550}, {11801, 37853}, {12100, 15691}, {12103, 20}, {12812, 15696}, {13383, 15332}, {13421, 13382}, {13474, 32142}, {14449, 40647}, {14893, 8703}, {15682, 11737}, {15684, 3860}, {15687, 15759}, {15690, 15686}, {16252, 32903}, {18357, 12512}, {18583, 48892}, {25561, 50972}, {382, 3628}, {3146, 3861}, {3543, 11812}, {3627, 3530}, {3830, 14891}, {3853, 3}, {31834, 15644}, {32137, 5447}, {45959, 13348}, {48942, 34573}, {546, 548}, {547, 15690}, {548, 12103}, {5066, 376}
X(62144) = complement of X(62041)
X(62144) = anticomplement of X(12102)
X(62144) = pole of line {185, 55856} with respect to the Jerabek hyperbola
X(62144) = pole of line {69, 55600} with respect to the Wallace hyperbola
X(62144) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(49140)}}, {{A, B, C, X(548), X(26861)}}, {{A, B, C, X(1105), X(55856)}}, {{A, B, C, X(1294), X(3853)}}, {{A, B, C, X(3519), X(15704)}}, {{A, B, C, X(3521), X(3857)}}, {{A, B, C, X(3532), X(35479)}}, {{A, B, C, X(3628), X(14861)}}, {{A, B, C, X(3839), X(6662)}}, {{A, B, C, X(4846), X(15022)}}, {{A, B, C, X(11812), X(40448)}}, {{A, B, C, X(14841), X(17800)}}, {{A, B, C, X(14865), X(34567)}}, {{A, B, C, X(15695), X(60122)}}, {{A, B, C, X(26863), X(57715)}}, {{A, B, C, X(34483), X(58196)}}, {{A, B, C, X(42021), X(50693)}}, {{A, B, C, X(43719), X(55578)}}, {{A, B, C, X(43970), X(46853)}}
X(62144) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 12102, 3859}, {3, 1657, 5059}, {3, 20, 15686}, {3, 2937, 13620}, {3, 30, 3853}, {3, 382, 3545}, {3, 3832, 11539}, {3, 3843, 15723}, {3, 3845, 16239}, {3, 5, 11812}, {3, 5067, 549}, {4, 3522, 15720}, {5, 3627, 14269}, {20, 11001, 3}, {20, 15683, 17538}, {20, 30, 12103}, {20, 3529, 3534}, {30, 11737, 15682}, {30, 11812, 3543}, {30, 14891, 3830}, {30, 15332, 13383}, {30, 15686, 15690}, {30, 15691, 12100}, {30, 15696, 12812}, {30, 15759, 15687}, {30, 3530, 3627}, {30, 376, 5066}, {30, 3860, 15684}, {30, 548, 546}, {30, 8703, 14893}, {140, 12103, 550}, {140, 3850, 547}, {140, 3853, 3850}, {140, 5066, 1656}, {140, 5073, 12101}, {140, 550, 548}, {376, 15706, 8703}, {382, 3523, 3858}, {547, 15686, 15691}, {549, 3146, 3861}, {631, 15687, 12811}, {632, 3528, 14891}, {632, 3830, 3856}, {1656, 1657, 17800}, {1656, 3522, 15711}, {1657, 3534, 5073}, {1657, 5073, 3529}, {2043, 2044, 15695}, {3522, 3543, 3533}, {3523, 3858, 3628}, {3528, 3830, 632}, {3534, 14269, 376}, {3534, 17800, 10303}, {3534, 5073, 3522}, {3543, 10303, 3832}, {3545, 11001, 15683}, {3839, 15714, 11540}, {3843, 10304, 14869}, {3843, 14869, 10109}, {3850, 16239, 5056}, {3858, 8703, 3523}, {5054, 17578, 3857}, {5059, 11001, 1657}, {5073, 15720, 4}, {10303, 14269, 5}, {10303, 15711, 3530}, {10304, 11541, 3843}, {11001, 15686, 30}, {11250, 11414, 7555}, {12512, 28168, 18357}, {12811, 15759, 631}, {14813, 14814, 15704}, {15122, 18282, 140}, {15683, 17538, 382}, {15684, 15697, 17504}, {15684, 17504, 3860}, {15685, 15696, 3146}, {15687, 15689, 15759}, {42088, 42157, 42924}, {42112, 42121, 42888}, {42113, 42124, 42889}, {42164, 42433, 42913}, {42165, 42434, 42912}, {42584, 42925, 42158}, {42585, 42924, 42157}

X(62145) = X(2)X(3)∩X(590)X(42538)

X(62145) lies on these lines: {2, 3}, {590, 42538}, {615, 42537}, {3623, 28198}, {4669, 9778}, {4677, 34638}, {5237, 43557}, {5238, 43556}, {5318, 42518}, {5321, 42519}, {5334, 42977}, {5335, 42976}, {5343, 49859}, {5344, 49860}, {5921, 48920}, {5965, 54174}, {6361, 20049}, {6459, 42418}, {6460, 42417}, {6490, 42264}, {6491, 42263}, {8584, 48872}, {8717, 13482}, {8972, 41954}, {9300, 11742}, {9542, 43788}, {9543, 35822}, {9589, 51107}, {9812, 50815}, {10171, 50874}, {10175, 50867}, {10653, 41971}, {10654, 41972}, {11160, 48905}, {11180, 48896}, {13678, 32814}, {13941, 41953}, {14561, 51213}, {14855, 16981}, {14927, 15533}, {16960, 42632}, {16961, 42631}, {19106, 42512}, {19107, 42513}, {19924, 51170}, {20070, 34628}, {20080, 48880}, {23302, 43002}, {23303, 43003}, {28146, 50819}, {28158, 51109}, {28164, 51066}, {28168, 50863}, {28172, 50812}, {28186, 50809}, {28194, 51092}, {28228, 51093}, {28232, 50811}, {29317, 50975}, {29323, 51216}, {30308, 51079}, {32785, 43566}, {32786, 43567}, {33748, 51177}, {36967, 49826}, {36968, 49827}, {41121, 42113}, {41122, 42112}, {41967, 42272}, {41968, 42271}, {41969, 42414}, {41970, 42413}, {42090, 49811}, {42091, 49810}, {42096, 42792}, {42097, 42791}, {42099, 42510}, {42100, 42511}, {42125, 42933}, {42128, 42932}, {42139, 42515}, {42140, 49906}, {42141, 49905}, {42142, 42514}, {42147, 42508}, {42148, 42509}, {42154, 42517}, {42155, 42516}, {42429, 49903}, {42430, 49904}, {42474, 51915}, {42475, 51916}, {42520, 46334}, {42521, 46335}, {42524, 43520}, {42525, 43519}, {42570, 42641}, {42571, 42642}, {42588, 42942}, {42589, 42943}, {42604, 43507}, {42605, 43508}, {42625, 49861}, {42626, 49862}, {42682, 43541}, {42683, 43540}, {42944, 43202}, {42945, 43201}, {43242, 43482}, {43243, 43481}, {43465, 49947}, {43466, 49948}, {50808, 51068}, {50820, 54445}, {50869, 58221}, {50965, 50994}, {50971, 51538}, {51026, 55673}, {51069, 54448}, {51142, 55614}

X(62145) = midpoint of X(i) and X(j) for these {i,j}: {3522, 15683}, {3529, 5071}, {15685, 15693}
X(62145) = reflection of X(i) in X(j) for these {i,j}: {15684, 3858}, {15692, 17538}, {15694, 550}, {15696, 15686}, {15712, 15691}, {17578, 15692}, {2, 15697}, {3091, 376}, {30308, 51079}, {3543, 631}, {3830, 15711}, {4, 14093}, {5071, 15696}, {5076, 15714}
X(62145) = anticomplement of X(62007)
X(62145) = pole of line {69, 62132} with respect to the Wallace hyperbola
X(62145) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3346), X(12102)}}, {{A, B, C, X(4846), X(47478)}}, {{A, B, C, X(14269), X(16251)}}, {{A, B, C, X(15640), X(35510)}}, {{A, B, C, X(17504), X(18850)}}, {{A, B, C, X(18846), X(58207)}}
X(62145) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15683}, {2, 3830, 3832}, {2, 5059, 15640}, {2, 8703, 15705}, {4, 376, 17504}, {20, 10304, 15686}, {20, 11001, 2}, {30, 14093, 4}, {30, 15686, 15696}, {30, 15691, 15712}, {30, 15692, 17578}, {30, 15696, 5071}, {30, 15711, 3830}, {30, 15714, 5076}, {30, 17538, 15692}, {30, 376, 3091}, {30, 3858, 15684}, {30, 550, 15694}, {30, 631, 3543}, {140, 15711, 15693}, {140, 376, 10304}, {140, 5072, 5067}, {376, 11001, 15685}, {376, 11541, 5055}, {376, 382, 15708}, {546, 8703, 15722}, {3091, 3522, 15717}, {3534, 15685, 3845}, {3534, 15701, 15690}, {3534, 17800, 11540}, {3534, 3845, 376}, {3543, 15705, 5068}, {3830, 15696, 15711}, {3859, 15695, 15698}, {5055, 15700, 140}, {5059, 15717, 3146}, {5076, 15689, 15714}, {6969, 15710, 381}, {6978, 17800, 1657}, {8703, 15685, 11541}, {10124, 15690, 8703}, {15640, 15685, 5059}, {15685, 15693, 30}, {15685, 15704, 11001}, {15691, 17800, 3545}, {15692, 15697, 15695}, {15695, 17538, 15697}, {17538, 17578, 3522}

X(62146) = X(2)X(3)∩X(74)X(14843)

X(62146) lies on these lines: {2, 3}, {69, 48920}, {74, 14843}, {944, 58245}, {946, 58229}, {1056, 4324}, {1058, 4316}, {1151, 43788}, {1152, 43787}, {1285, 7756}, {1352, 55617}, {3071, 17852}, {3592, 43407}, {3594, 43408}, {3619, 55644}, {3620, 55620}, {3622, 28182}, {4301, 51080}, {5237, 42140}, {5238, 42141}, {5343, 42625}, {5344, 42626}, {5351, 42112}, {5352, 42113}, {5493, 50817}, {5818, 59420}, {5881, 50814}, {5921, 55595}, {6361, 61296}, {6425, 23267}, {6426, 23273}, {6447, 42226}, {6448, 42225}, {6488, 43509}, {6489, 43510}, {7738, 41940}, {7967, 16189}, {9540, 53517}, {9588, 50813}, {9693, 35822}, {10147, 23269}, {10148, 23275}, {11455, 40247}, {11742, 22332}, {12317, 38626}, {12699, 58232}, {13464, 50819}, {13886, 42276}, {13903, 43519}, {13935, 53520}, {13939, 42275}, {13961, 43520}, {14226, 41964}, {14241, 41963}, {14912, 48872}, {14927, 52987}, {15023, 46686}, {15069, 50970}, {18296, 20421}, {20190, 51538}, {22234, 25406}, {22330, 48891}, {28146, 61277}, {28150, 30389}, {28164, 61256}, {28194, 61289}, {29012, 55611}, {29181, 53858}, {29317, 55708}, {31425, 50862}, {31652, 43618}, {31670, 55704}, {31730, 37712}, {32903, 35260}, {34507, 50966}, {35237, 56292}, {35770, 43337}, {35771, 43336}, {35820, 42570}, {35821, 42571}, {36967, 43769}, {36968, 43770}, {39874, 53097}, {40330, 55641}, {41977, 43032}, {41978, 43033}, {42096, 52080}, {42097, 52079}, {42108, 43464}, {42109, 43463}, {42144, 42987}, {42145, 42986}, {42147, 43481}, {42148, 43482}, {42149, 42430}, {42150, 43021}, {42151, 43020}, {42152, 42429}, {42153, 43494}, {42156, 43493}, {42157, 43646}, {42158, 43645}, {42431, 42892}, {42432, 42893}, {42524, 43414}, {42525, 43413}, {42568, 43879}, {42569, 43880}, {42912, 42927}, {42913, 42926}, {42958, 43003}, {42959, 43002}, {42996, 43012}, {42997, 43013}, {43242, 43630}, {43243, 43631}, {43517, 53518}, {43518, 53519}, {43621, 55687}, {43777, 56608}, {43778, 56609}, {46264, 55721}, {48661, 61280}, {48873, 55583}, {48880, 55588}, {48885, 55628}, {48892, 55694}, {48896, 55600}, {48898, 55718}, {51910, 52666}, {51911, 52667}, {58225, 61271}, {58240, 61287}, {59417, 61246}

X(62146) = midpoint of X(i) and X(j) for these {i,j}: {3090, 3529}, {15685, 15700}
X(62146) = reflection of X(i) in X(j) for these {i,j}: {3526, 550}, {3543, 15701}, {4, 3528}, {6848, 15715}
X(62146) = anticomplement of X(62008)
X(62146) = pole of line {185, 60781} with respect to the Jerabek hyperbola
X(62146) = pole of line {69, 62131} with respect to the Wallace hyperbola
X(62146) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(30), X(14843)}}, {{A, B, C, X(68), X(49139)}}, {{A, B, C, X(1294), X(50688)}}, {{A, B, C, X(3517), X(13452)}}, {{A, B, C, X(3830), X(18296)}}, {{A, B, C, X(3851), X(31371)}}, {{A, B, C, X(5073), X(15077)}}, {{A, B, C, X(11270), X(55574)}}, {{A, B, C, X(13472), X(55571)}}, {{A, B, C, X(15702), X(18851)}}, {{A, B, C, X(15740), X(46219)}}, {{A, B, C, X(18535), X(46848)}}, {{A, B, C, X(18850), X(61138)}}, {{A, B, C, X(33703), X(52441)}}, {{A, B, C, X(36889), X(41987)}}, {{A, B, C, X(37935), X(60740)}}
X(62146) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 12811, 10303}, {3, 15022, 631}, {3, 3529, 11541}, {3, 3627, 15022}, {3, 382, 12811}, {4, 3528, 15702}, {20, 11001, 4}, {20, 1657, 376}, {20, 3146, 12103}, {20, 3522, 15686}, {20, 3529, 17538}, {20, 5059, 3534}, {30, 15701, 3543}, {30, 15715, 6848}, {30, 550, 3526}, {376, 15682, 5054}, {376, 3523, 3528}, {376, 3830, 3524}, {382, 12100, 3854}, {547, 3830, 3839}, {550, 15713, 548}, {550, 3861, 14093}, {1657, 12103, 3146}, {1657, 5054, 17800}, {3090, 11001, 6968}, {3090, 15698, 14869}, {3090, 3523, 3525}, {3090, 3857, 3544}, {3091, 3146, 3830}, {3091, 3526, 3090}, {3146, 3839, 3627}, {3522, 15682, 5067}, {3522, 17800, 15682}, {3522, 5067, 15715}, {3523, 3832, 15703}, {3524, 11001, 15683}, {3524, 3525, 12108}, {3526, 3851, 547}, {3529, 15704, 11001}, {3534, 15022, 16434}, {3543, 15696, 10299}, {3545, 11541, 6905}, {3830, 12108, 3091}, {5073, 10304, 3855}, {8703, 17578, 3533}, {11001, 17538, 3529}, {11541, 17538, 3}, {12103, 12108, 550}, {12103, 15704, 1657}, {15640, 15691, 15710}, {15685, 15700, 30}, {15686, 17800, 3522}

X(62147) = X(2)X(3)∩X(40)X(4746)

X(62147) lies on these lines: {2, 3}, {15, 42806}, {16, 42805}, {17, 42113}, {18, 42112}, {40, 4746}, {69, 48896}, {515, 4816}, {944, 28228}, {1352, 55615}, {3070, 6468}, {3071, 6469}, {3316, 22644}, {3317, 22615}, {3590, 35255}, {3591, 35256}, {3616, 28154}, {3617, 28190}, {3618, 55690}, {3623, 28216}, {3818, 55638}, {4294, 8162}, {4299, 37602}, {5237, 43543}, {5238, 43542}, {5339, 42926}, {5340, 42927}, {5343, 42096}, {5344, 42097}, {5365, 11481}, {5366, 11480}, {5493, 12245}, {5734, 28202}, {5818, 28172}, {5881, 34638}, {5882, 11224}, {5925, 44762}, {5965, 39874}, {6225, 45185}, {6361, 28234}, {6470, 43407}, {6471, 43408}, {7581, 42267}, {7582, 42266}, {7745, 11742}, {7748, 46453}, {7755, 43619}, {7802, 32817}, {7860, 32818}, {8550, 48872}, {8960, 23269}, {9624, 50815}, {10248, 17502}, {10595, 28146}, {10645, 42494}, {10646, 42495}, {10990, 12317}, {11455, 13348}, {11522, 28150}, {12002, 15043}, {12254, 13431}, {12290, 36987}, {13474, 54041}, {13925, 60291}, {13993, 60292}, {14912, 48898}, {14927, 48880}, {15105, 17845}, {15516, 25406}, {15520, 48879}, {15740, 57730}, {15811, 54434}, {16960, 42090}, {16961, 42091}, {17821, 50709}, {18553, 55625}, {18581, 42908}, {18582, 42909}, {20125, 34584}, {22235, 42116}, {22237, 42115}, {23249, 41963}, {23251, 43409}, {23259, 41964}, {23261, 43410}, {23267, 42260}, {23273, 42261}, {23275, 42275}, {25555, 43621}, {29012, 55608}, {29317, 55710}, {29323, 55634}, {31404, 44541}, {31412, 51911}, {31414, 53130}, {31670, 55706}, {33750, 51163}, {34507, 48920}, {34785, 41470}, {35812, 43432}, {35813, 43433}, {35820, 43509}, {35821, 43510}, {36836, 42777}, {36843, 42778}, {36967, 42516}, {36968, 42517}, {37640, 43633}, {37641, 43632}, {38079, 51213}, {38083, 50867}, {41957, 42259}, {41958, 42258}, {41973, 42099}, {41974, 42100}, {41977, 42901}, {41978, 42900}, {42087, 42998}, {42088, 42999}, {42101, 42774}, {42102, 42773}, {42104, 42776}, {42105, 42775}, {42108, 43239}, {42109, 43238}, {42119, 42158}, {42120, 42157}, {42125, 43480}, {42128, 43479}, {42130, 42924}, {42131, 42925}, {42133, 42944}, {42134, 42945}, {42140, 42149}, {42141, 42152}, {42144, 42989}, {42145, 42988}, {42160, 42430}, {42161, 42429}, {42225, 43511}, {42226, 43512}, {42433, 43427}, {42434, 43426}, {42512, 42529}, {42513, 42528}, {42543, 49861}, {42544, 49862}, {42561, 51910}, {42586, 49826}, {42587, 49827}, {42641, 43887}, {42642, 43888}, {42793, 42940}, {42794, 42941}, {42817, 43556}, {42818, 43557}, {42920, 43446}, {42921, 43447}, {44299, 46852}, {45186, 61136}, {46264, 55720}, {48885, 55630}, {48892, 51538}, {48901, 55686}, {50975, 53093}, {50992, 55588}, {51023, 55606}, {51179, 53097}

X(62147) = midpoint of X(i) and X(j) for these {i,j}: {631, 3529}, {5076, 17800}, {14093, 15685}, {15683, 15697}
X(62147) = reflection of X(i) in X(j) for these {i,j}: {1656, 550}, {15682, 5071}, {15692, 3534}, {15695, 15686}, {15713, 15691}, {17538, 20}, {17578, 3}, {382, 632}, {3091, 15696}, {3146, 3843}, {3543, 15693}, {3830, 15714}, {4, 3522}, {5071, 15697}, {631, 17538}
X(62147) = anticomplement of X(5076)
X(62147) = pole of line {185, 61886} with respect to the Jerabek hyperbola
X(62147) = pole of line {69, 12103} with respect to the Wallace hyperbola
X(62147) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(49137)}}, {{A, B, C, X(69), X(12103)}}, {{A, B, C, X(140), X(18851)}}, {{A, B, C, X(632), X(15740)}}, {{A, B, C, X(1294), X(17578)}}, {{A, B, C, X(1593), X(57730)}}, {{A, B, C, X(1657), X(18847)}}, {{A, B, C, X(3519), X(15681)}}, {{A, B, C, X(3522), X(18849)}}, {{A, B, C, X(3532), X(55570)}}, {{A, B, C, X(3627), X(43699)}}, {{A, B, C, X(3851), X(18853)}}, {{A, B, C, X(3854), X(18854)}}, {{A, B, C, X(4846), X(5079)}}, {{A, B, C, X(5056), X(18852)}}, {{A, B, C, X(5070), X(14861)}}, {{A, B, C, X(5198), X(13603)}}, {{A, B, C, X(10109), X(54763)}}, {{A, B, C, X(10151), X(14536)}}, {{A, B, C, X(10299), X(18850)}}, {{A, B, C, X(12811), X(31371)}}, {{A, B, C, X(14491), X(35502)}}, {{A, B, C, X(15693), X(54660)}}, {{A, B, C, X(15696), X(42021)}}, {{A, B, C, X(15705), X(60618)}}, {{A, B, C, X(15721), X(40448)}}, {{A, B, C, X(19710), X(54667)}}, {{A, B, C, X(50688), X(51348)}}
X(62147) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17800, 11541}, {2, 20, 12103}, {3, 15682, 3855}, {3, 15687, 7486}, {3, 30, 17578}, {3, 382, 5066}, {3, 3855, 15709}, {3, 5, 15721}, {3, 5071, 631}, {4, 11001, 1657}, {4, 13635, 17800}, {4, 3525, 3851}, {4, 3528, 140}, {4, 376, 10299}, {4, 5071, 3858}, {20, 11001, 3529}, {20, 15704, 11001}, {20, 30, 17538}, {20, 3146, 3534}, {20, 3529, 376}, {20, 5059, 550}, {30, 15686, 15695}, {30, 15691, 15713}, {30, 15693, 3543}, {30, 15696, 3091}, {30, 15714, 3830}, {30, 3534, 15692}, {30, 3843, 3146}, {30, 5071, 15682}, {30, 550, 1656}, {30, 632, 382}, {140, 3146, 4}, {382, 15695, 632}, {548, 3525, 15710}, {548, 3543, 3525}, {550, 5073, 3523}, {631, 1656, 3533}, {1656, 3858, 5068}, {3090, 10109, 6874}, {3091, 3522, 15712}, {3146, 15692, 3843}, {3146, 3528, 3545}, {3146, 3534, 3528}, {3146, 7486, 15687}, {3523, 5059, 5073}, {3534, 17800, 3857}, {3627, 10304, 5067}, {3627, 15720, 3854}, {3627, 6996, 6942}, {3830, 15717, 3544}, {3845, 6923, 5056}, {3853, 15688, 10303}, {3854, 10304, 15720}, {3855, 15700, 16849}, {3855, 15709, 3090}, {3857, 15687, 3861}, {5068, 15683, 5059}, {12103, 17800, 2}, {14093, 15685, 30}, {14813, 14814, 15681}, {15640, 15689, 15702}, {15681, 15704, 20}, {15687, 15692, 5071}, {15687, 15699, 3860}, {15696, 15712, 3522}, {15697, 17578, 3}, {23269, 43788, 42638}, {23275, 43787, 42637}, {42099, 42151, 43770}, {42100, 42150, 43769}, {42260, 42414, 23267}, {42276, 42638, 23269}

X(62148) = X(1)X(51080)∩X(2)X(3)

X(62148) lies on these lines: {1, 51080}, {2, 3}, {6, 51135}, {8, 34638}, {13, 43637}, {14, 43636}, {69, 50970}, {145, 34628}, {193, 51136}, {371, 43322}, {372, 43323}, {754, 53141}, {1151, 42572}, {1152, 42573}, {1698, 50816}, {1992, 48872}, {3068, 6439}, {3069, 6440}, {3616, 50815}, {3617, 50808}, {3618, 50971}, {3619, 51022}, {3620, 50965}, {3621, 34632}, {3622, 50865}, {3623, 50811}, {3624, 50869}, {3763, 50972}, {4678, 31730}, {4704, 51042}, {4772, 51065}, {4821, 51044}, {5032, 29181}, {5237, 49873}, {5238, 49874}, {5365, 41944}, {5366, 41943}, {5921, 48896}, {6361, 20014}, {6433, 42641}, {6434, 42642}, {6449, 14241}, {6450, 14226}, {6459, 43209}, {6460, 43210}, {6478, 35822}, {6479, 35823}, {6480, 43342}, {6481, 43343}, {7736, 11742}, {7750, 32880}, {7802, 32840}, {8972, 42540}, {9778, 37712}, {9780, 50862}, {9812, 61274}, {10653, 43645}, {10654, 43646}, {11057, 32830}, {11160, 14927}, {11177, 35369}, {11178, 50969}, {11179, 48879}, {11480, 43540}, {11481, 43541}, {12699, 50819}, {13665, 43788}, {13785, 43787}, {13846, 42570}, {13847, 42571}, {13941, 42539}, {14831, 52093}, {14907, 32874}, {15808, 51119}, {16267, 42090}, {16268, 42091}, {16644, 43201}, {16645, 43202}, {18440, 50966}, {18481, 50872}, {18492, 50867}, {18525, 50809}, {18581, 43373}, {18582, 43372}, {19862, 51081}, {19875, 59420}, {20049, 20070}, {20057, 51120}, {20080, 48905}, {20423, 48891}, {22236, 42588}, {22238, 42589}, {23251, 42538}, {23261, 42537}, {23267, 43321}, {23273, 43320}, {25055, 28158}, {28146, 61279}, {28150, 61275}, {28164, 53620}, {28172, 54448}, {28194, 61291}, {28198, 61287}, {28208, 59417}, {31670, 50975}, {31673, 50812}, {32787, 42414}, {32788, 42413}, {32808, 51953}, {32809, 51952}, {32826, 32893}, {32882, 37671}, {33878, 51215}, {34631, 61292}, {34648, 46933}, {35260, 50709}, {36967, 43232}, {36968, 43233}, {37640, 43252}, {37641, 43253}, {37832, 43294}, {37835, 43295}, {40112, 40196}, {41107, 43310}, {41108, 43311}, {42093, 42956}, {42094, 42957}, {42101, 51944}, {42102, 51945}, {42112, 43404}, {42113, 43403}, {42119, 43305}, {42120, 43304}, {42133, 42528}, {42134, 42529}, {42139, 43100}, {42140, 42625}, {42141, 42626}, {42142, 43107}, {42150, 49826}, {42151, 49827}, {42160, 42631}, {42161, 42632}, {42164, 49812}, {42165, 49813}, {42262, 43567}, {42265, 43566}, {42271, 42569}, {42272, 42568}, {42431, 49825}, {42432, 49824}, {42433, 42543}, {42434, 42544}, {42490, 43002}, {42491, 43003}, {42510, 43632}, {42511, 43633}, {42584, 43481}, {42585, 43482}, {42586, 43228}, {42587, 43229}, {42791, 43556}, {42792, 43557}, {42940, 43878}, {42941, 43877}, {42942, 43465}, {42943, 43466}, {42998, 46334}, {42999, 46335}, {43110, 43778}, {43111, 43777}, {43273, 51170}, {43416, 52079}, {43417, 52080}, {43473, 43869}, {43474, 43870}, {43503, 60297}, {43504, 60298}, {43641, 44016}, {43642, 44015}, {44456, 51176}, {46264, 51028}, {46930, 50829}, {47355, 51026}, {48873, 54174}, {48880, 50967}, {48881, 51023}, {48898, 54132}, {48920, 54173}, {50813, 50863}, {50820, 50873}, {50866, 51083}, {50870, 51073}, {50958, 55607}, {50964, 55672}, {50976, 51029}, {50994, 55614}, {51024, 51171}, {51092, 61289}, {51167, 55656}, {51177, 51211}, {52045, 52667}, {52046, 52666}, {54706, 60645}, {59373, 59411}, {60131, 60327}, {60287, 60328}, {60324, 60638}

X(62148) = midpoint of X(i) and X(j) for these {i,j}: {3524, 3529}, {15685, 15688}
X(62148) = reflection of X(i) in X(j) for these {i,j}: {11539, 15691}, {15682, 5055}, {15688, 15686}, {19875, 59420}, {382, 11539}, {3146, 3839}, {3524, 3534}, {3543, 3524}, {3545, 15689}, {3839, 376}, {4, 15688}, {5055, 550}, {59373, 59411}
X(62148) = inverse of X(61952) in orthocentroidal circle
X(62148) = inverse of X(61952) in Yff hyperbola
X(62148) = anticomplement of X(50687)
X(62148) = pole of line {523, 61952} with respect to the orthocentroidal circle
X(62148) = pole of line {185, 12045} with respect to the Jerabek hyperbola
X(62148) = pole of line {6, 61952} with respect to the Kiepert hyperbola
X(62148) = pole of line {523, 61952} with respect to the Yff hyperbola
X(62148) = pole of line {69, 62129} with respect to the Wallace hyperbola
X(62148) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3346), X(5076)}}, {{A, B, C, X(3543), X(52443)}}, {{A, B, C, X(3845), X(16251)}}, {{A, B, C, X(4846), X(10109)}}, {{A, B, C, X(12100), X(18850)}}, {{A, B, C, X(21734), X(57822)}}, {{A, B, C, X(36889), X(50689)}}, {{A, B, C, X(38441), X(56306)}}, {{A, B, C, X(44334), X(46270)}}, {{A, B, C, X(49135), X(52441)}}
X(62148) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15683, 5059}, {2, 5079, 17532}, {3, 381, 11540}, {4, 15686, 15697}, {4, 16239, 3091}, {4, 376, 12100}, {5, 12100, 15694}, {5, 1657, 3529}, {20, 11001, 15683}, {20, 15697, 15686}, {20, 1657, 3146}, {20, 3523, 12103}, {20, 3543, 3534}, {30, 11539, 382}, {30, 15689, 3545}, {30, 15691, 11539}, {30, 3524, 3543}, {30, 3534, 3524}, {30, 376, 3839}, {30, 5055, 15682}, {30, 550, 5055}, {376, 11001, 1657}, {376, 14893, 15692}, {376, 15682, 3525}, {376, 3830, 3523}, {376, 3839, 15705}, {381, 15711, 3533}, {382, 15718, 3860}, {549, 15697, 7397}, {3146, 3854, 17578}, {3524, 15694, 15708}, {3524, 15709, 15720}, {3524, 15710, 15711}, {3525, 15682, 14893}, {3528, 3845, 15721}, {3545, 15689, 10304}, {3627, 15695, 15702}, {3845, 15721, 15022}, {10124, 13735, 2}, {11001, 15681, 20}, {11541, 15696, 5056}, {11541, 15698, 15687}, {11812, 14893, 5}, {12100, 15699, 5054}, {12101, 17678, 13587}, {13587, 13731, 16859}, {13587, 17571, 16371}, {14869, 15688, 15710}, {15681, 15704, 11001}, {15682, 15692, 3832}, {15684, 15690, 631}, {15685, 15686, 4}, {15685, 15688, 30}, {15687, 15696, 15698}, {15691, 15718, 376}, {15694, 15697, 3522}, {15697, 15708, 15688}, {17545, 17549, 16370}, {42586, 43228, 43769}, {42587, 43229, 43770}

X(62149) = X(2)X(3)∩X(6)X(43785)

X(62149) lies on these lines: {2, 3}, {6, 43785}, {61, 43231}, {62, 43230}, {516, 20057}, {1131, 41963}, {1132, 41964}, {1151, 43376}, {1152, 43377}, {1352, 55613}, {3590, 23251}, {3591, 23261}, {3622, 28150}, {3626, 9778}, {3629, 48872}, {3632, 5493}, {3982, 4313}, {5343, 42091}, {5344, 42090}, {5365, 42112}, {5366, 42113}, {5921, 48880}, {6200, 43515}, {6329, 59411}, {6396, 43516}, {6409, 43507}, {6410, 43508}, {6433, 42570}, {6434, 42571}, {6435, 42267}, {6436, 42266}, {6776, 55723}, {7756, 14075}, {7802, 10513}, {8981, 43788}, {9777, 35253}, {10519, 55619}, {11008, 61044}, {11015, 20059}, {11542, 43487}, {11543, 43488}, {12512, 54448}, {13382, 52093}, {13925, 60620}, {13966, 43787}, {13993, 60621}, {14853, 55702}, {14907, 32868}, {14927, 40341}, {15808, 28158}, {16241, 43552}, {16242, 43553}, {16981, 40647}, {18553, 55621}, {18845, 60332}, {20050, 20070}, {20080, 48873}, {22235, 42141}, {22237, 42140}, {23249, 43570}, {23259, 43571}, {29012, 55605}, {29317, 55712}, {31412, 41950}, {31454, 43258}, {31670, 55707}, {34507, 55599}, {34785, 54211}, {35369, 38741}, {38259, 60334}, {41949, 42561}, {42085, 42780}, {42086, 42779}, {42087, 43769}, {42088, 43770}, {42099, 42999}, {42100, 42998}, {42108, 42495}, {42109, 42494}, {42119, 43106}, {42120, 43105}, {42130, 43242}, {42131, 43243}, {42139, 43874}, {42142, 43873}, {42149, 43557}, {42152, 43556}, {42157, 42994}, {42158, 42995}, {42160, 42938}, {42161, 42939}, {42225, 42523}, {42226, 42522}, {42275, 43520}, {42276, 43519}, {42413, 43511}, {42414, 43512}, {42415, 43631}, {42416, 43630}, {42510, 42543}, {42511, 42544}, {42528, 42908}, {42529, 42909}, {42612, 49826}, {42613, 49827}, {42641, 53513}, {42642, 53516}, {42684, 43771}, {42685, 43772}, {42793, 43480}, {42794, 43479}, {42797, 43474}, {42798, 43473}, {42920, 42958}, {42921, 42959}, {42928, 43498}, {42929, 43497}, {43560, 51911}, {43561, 51910}, {43676, 47586}, {43681, 53100}, {43773, 56608}, {43774, 56609}, {44134, 57894}, {46264, 55719}, {48879, 51170}, {48891, 55709}, {48896, 55589}, {48898, 55715}, {48920, 55609}, {50809, 61249}, {50956, 55652}, {51177, 53092}, {51952, 58803}, {51953, 58804}, {53102, 60118}, {60142, 60145}, {60147, 60642}

X(62149) = midpoint of X(i) and X(j) for these {i,j}: {3528, 3529}
X(62149) = reflection of X(i) in X(j) for these {i,j}: {15682, 15703}, {15702, 3534}, {382, 14869}, {3146, 3832}, {3543, 15698}, {3851, 550}
X(62149) = anticomplement of X(50688)
X(62149) = pole of line {185, 46935} with respect to the Jerabek hyperbola
X(62149) = pole of line {69, 62125} with respect to the Wallace hyperbola
X(62149) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1105), X(46935)}}, {{A, B, C, X(3346), X(3853)}}, {{A, B, C, X(3522), X(57894)}}, {{A, B, C, X(3843), X(16251)}}, {{A, B, C, X(4846), X(12812)}}, {{A, B, C, X(6662), X(41987)}}, {{A, B, C, X(14841), X(15685)}}, {{A, B, C, X(14861), X(55857)}}, {{A, B, C, X(15688), X(26861)}}, {{A, B, C, X(15698), X(60618)}}, {{A, B, C, X(15712), X(18850)}}, {{A, B, C, X(17578), X(51348)}}, {{A, B, C, X(18846), X(49139)}}, {{A, B, C, X(33699), X(54552)}}, {{A, B, C, X(35510), X(49135)}}, {{A, B, C, X(38282), X(60334)}}, {{A, B, C, X(42021), X(44245)}}, {{A, B, C, X(52299), X(60332)}}
X(62149) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17578, 546}, {2, 3855, 15022}, {2, 550, 3522}, {3, 10109, 631}, {4, 376, 15712}, {20, 10304, 12103}, {20, 15683, 3146}, {20, 3091, 3534}, {20, 3543, 17538}, {30, 14869, 382}, {30, 15703, 15682}, {30, 3534, 15702}, {30, 550, 3851}, {140, 550, 15688}, {376, 11812, 10304}, {376, 3146, 13735}, {376, 5073, 5056}, {382, 15695, 1010}, {382, 550, 10299}, {546, 3530, 15699}, {548, 11541, 3839}, {548, 3543, 16858}, {548, 5079, 15715}, {550, 1657, 3529}, {550, 3851, 3528}, {1656, 15718, 140}, {1656, 1657, 15685}, {1657, 15681, 550}, {1657, 5059, 15683}, {3090, 14869, 16857}, {3090, 3528, 15700}, {3146, 3522, 5068}, {3522, 5068, 15717}, {3523, 5056, 3526}, {3526, 15707, 14869}, {3526, 17578, 3832}, {3528, 3529, 30}, {3534, 15699, 376}, {5056, 5073, 17578}, {5073, 15712, 4}, {5079, 15693, 16067}, {10299, 14869, 3523}, {10304, 15687, 2}, {11001, 15704, 20}, {13635, 15697, 5059}, {15022, 15683, 17800}, {15682, 15696, 10303}, {17538, 17800, 3543}, {43785, 43786, 6}

X(62150) = X(2)X(3)∩X(1159)X(4333)

X(62150) lies on these lines: {2, 3}, {516, 61284}, {1159, 4333}, {1351, 48879}, {3068, 10145}, {3069, 10146}, {3070, 9691}, {3579, 61254}, {4297, 61279}, {4316, 9670}, {4324, 9657}, {4325, 7373}, {4330, 6767}, {5050, 48891}, {5093, 33749}, {5339, 42430}, {5340, 42429}, {5346, 44526}, {5734, 28178}, {5965, 48905}, {6417, 42267}, {6418, 42266}, {6445, 35820}, {6446, 35821}, {7747, 11742}, {7756, 43136}, {7765, 21309}, {8148, 61291}, {8227, 58224}, {9589, 10247}, {9606, 43618}, {9680, 42272}, {9690, 31454}, {9778, 61249}, {10143, 43342}, {10144, 43343}, {10721, 38638}, {10722, 38635}, {10723, 38634}, {10724, 38637}, {10728, 38636}, {10733, 38633}, {11362, 61247}, {11480, 43642}, {11481, 43641}, {11485, 43633}, {11486, 43632}, {11645, 55595}, {12279, 54048}, {12512, 61258}, {13881, 15603}, {14531, 14641}, {15069, 48880}, {15338, 31480}, {15606, 18439}, {16772, 42113}, {16773, 42112}, {16960, 42097}, {16961, 42096}, {18481, 28232}, {18493, 28158}, {18510, 42413}, {18512, 42414}, {20070, 61297}, {23241, 38591}, {28146, 37624}, {28150, 61276}, {28154, 61274}, {28160, 61250}, {28168, 37714}, {28182, 58233}, {28198, 61288}, {28228, 37727}, {29012, 55604}, {29317, 53091}, {29323, 55629}, {31457, 44541}, {31487, 42260}, {31666, 50806}, {32903, 61721}, {33878, 48896}, {36836, 42892}, {36843, 42893}, {36990, 55624}, {37494, 61150}, {38639, 44988}, {38640, 44981}, {40107, 55616}, {41869, 58230}, {42095, 43371}, {42098, 43370}, {42099, 42991}, {42100, 42990}, {42115, 42901}, {42116, 42900}, {42130, 42148}, {42131, 42147}, {42154, 43020}, {42155, 43021}, {42160, 42778}, {42161, 42777}, {42271, 45385}, {42275, 43415}, {42512, 43401}, {42513, 43402}, {42544, 61719}, {42801, 43420}, {42802, 43421}, {42936, 51945}, {42937, 51944}, {42938, 43636}, {42939, 43637}, {43209, 43786}, {43210, 43785}, {43422, 49903}, {43423, 49904}, {43485, 43645}, {43486, 43646}, {44456, 48872}, {47353, 55620}, {48884, 55643}, {48885, 55632}, {48892, 55692}, {48904, 55682}, {48910, 55697}, {48920, 55610}, {48942, 55654}, {48943, 55673}, {50963, 55687}, {50976, 55679}, {50993, 55623}, {51024, 55701}, {55705, 59411}, {58222, 61269}, {58238, 61286}, {58250, 61295}

X(62150) = midpoint of X(i) and X(j) for these {i,j}: {3522, 3529}, {3843, 17800}
X(62150) = reflection of X(i) in X(j) for these {i,j}: {1656, 17538}, {15694, 3534}, {15696, 20}, {15712, 12103}, {381, 15697}, {382, 631}, {3091, 550}, {3146, 3858}, {3543, 15711}, {3830, 14093}, {3843, 15696}, {5073, 5076}, {5076, 3522}
X(62150) = pole of line {185, 15703} with respect to the Jerabek hyperbola
X(62150) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1105), X(15703)}}, {{A, B, C, X(3521), X(41106)}}, {{A, B, C, X(15318), X(15687)}}, {{A, B, C, X(44682), X(46168)}}
X(62150) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 1657, 15685}, {3, 4, 15703}, {5, 20, 3534}, {5, 3524, 3526}, {5, 3530, 3533}, {20, 1657, 17800}, {20, 17578, 17538}, {20, 30, 15696}, {20, 3528, 12103}, {20, 3529, 5}, {20, 5059, 3528}, {30, 12103, 15712}, {30, 14093, 3830}, {30, 15697, 381}, {30, 15711, 3543}, {30, 17538, 1656}, {30, 3522, 5076}, {30, 3534, 15694}, {30, 3858, 3146}, {30, 5076, 5073}, {30, 550, 3091}, {30, 631, 382}, {382, 3526, 3861}, {382, 548, 5070}, {631, 17578, 3859}, {631, 7486, 632}, {1656, 15695, 3}, {1656, 17538, 15695}, {1656, 17578, 3843}, {1657, 15704, 15681}, {1657, 3534, 3529}, {2041, 2042, 15687}, {3091, 3522, 3524}, {3146, 15721, 4}, {3146, 3533, 12101}, {3522, 3529, 30}, {3526, 15696, 14093}, {3830, 15695, 15713}, {3861, 15759, 16239}, {10303, 15697, 3522}, {11001, 15704, 1657}, {12103, 15712, 15697}, {12103, 15759, 550}, {15681, 17800, 20}, {15684, 15722, 14269}, {15712, 16239, 631}

X(62151) = X(2)X(3)∩X(6)X(42415)

X(62151) lies on these lines: {2, 3}, {6, 42415}, {40, 61248}, {61, 43111}, {62, 43110}, {141, 55630}, {323, 52100}, {397, 43231}, {398, 43230}, {516, 61286}, {1131, 43788}, {1132, 43787}, {1503, 55590}, {2548, 11742}, {3244, 28174}, {3411, 42164}, {3412, 42165}, {3564, 48896}, {3579, 61255}, {3626, 28160}, {3629, 48879}, {3631, 29012}, {3632, 28224}, {3636, 28150}, {3818, 55635}, {4031, 12433}, {4297, 28182}, {4301, 28178}, {4309, 8162}, {4316, 37722}, {4317, 15172}, {4324, 15888}, {4325, 15171}, {4330, 18990}, {4333, 37724}, {5237, 42545}, {5238, 42546}, {5334, 43307}, {5335, 43306}, {5349, 42528}, {5350, 42529}, {5351, 43402}, {5352, 43401}, {5480, 55693}, {5690, 61252}, {5893, 32903}, {5901, 28154}, {5943, 55286}, {6329, 48891}, {6468, 42276}, {6469, 42275}, {6470, 6560}, {6471, 6561}, {6486, 53517}, {6487, 53520}, {7583, 42643}, {7584, 42644}, {8972, 60305}, {9589, 34773}, {9680, 43515}, {9681, 42264}, {9692, 23269}, {9705, 37477}, {9706, 43576}, {10248, 61270}, {10282, 50709}, {10653, 43305}, {10654, 43304}, {10721, 13392}, {11224, 18481}, {11362, 28186}, {11480, 42889}, {11481, 42888}, {11542, 42434}, {11543, 42433}, {13348, 32137}, {13391, 14641}, {13491, 14531}, {13598, 58533}, {13846, 43570}, {13847, 43571}, {13941, 60306}, {14915, 15606}, {15069, 48874}, {15516, 29317}, {15520, 48898}, {15808, 22793}, {16003, 44796}, {16163, 61598}, {16772, 42137}, {16773, 42136}, {16964, 42123}, {16965, 42122}, {18357, 28172}, {18358, 48885}, {18538, 51911}, {18583, 55696}, {18762, 51910}, {20050, 61297}, {20396, 37853}, {20583, 33749}, {23302, 43195}, {23303, 43196}, {24466, 61605}, {25555, 50971}, {28158, 40273}, {28168, 61524}, {28190, 31730}, {28212, 37727}, {29181, 55716}, {29323, 55625}, {31399, 33697}, {31447, 31673}, {31457, 53418}, {34380, 48905}, {35812, 42272}, {35813, 42271}, {36967, 42779}, {36968, 42780}, {36969, 42997}, {36970, 42996}, {38738, 61599}, {38749, 61600}, {38761, 61601}, {38773, 61602}, {38785, 61603}, {40107, 48920}, {40341, 48873}, {40693, 42145}, {40694, 42144}, {41121, 42794}, {41122, 42793}, {41869, 51700}, {42087, 43633}, {42088, 43632}, {42099, 42148}, {42100, 42147}, {42104, 42491}, {42105, 42490}, {42112, 42153}, {42113, 42156}, {42117, 43193}, {42118, 43194}, {42130, 43631}, {42131, 43630}, {42143, 43295}, {42146, 43294}, {42160, 42497}, {42161, 42496}, {42431, 42912}, {42432, 42913}, {42543, 43108}, {42544, 43109}, {42612, 43228}, {42613, 43229}, {42627, 42813}, {42628, 42814}, {42647, 43624}, {42648, 43625}, {42890, 42935}, {42891, 42934}, {42924, 42991}, {42925, 42990}, {42980, 43033}, {42981, 43032}, {44755, 54036}, {44870, 54044}, {44882, 55710}, {45956, 52093}, {46264, 61624}, {48880, 55596}, {48881, 55608}, {48892, 55690}, {48901, 55689}, {48910, 51732}, {50959, 55679}, {50972, 55650}, {50975, 55701}, {50991, 55617}, {51023, 55602}, {51095, 58240}

X(62151) = midpoint of X(i) and X(j) for these {i,j}: {5, 17800}, {550, 3529}, {1657, 15704}, {3627, 5059}, {15685, 15686}
X(62151) = reflection of X(i) in X(j) for these {i,j}: {140, 12103}, {10721, 13392}, {12100, 15686}, {12101, 376}, {14893, 15690}, {15682, 10124}, {15684, 10109}, {18358, 48885}, {382, 3530}, {3146, 3850}, {3543, 15759}, {3853, 548}, {32137, 13348}, {41869, 51700}, {48910, 51732}, {546, 550}, {547, 3534}, {548, 20}, {5066, 15691}, {5073, 12102}, {5893, 32903}, {61510, 31730}, {61545, 48881}, {61597, 18481}, {61598, 16163}, {61599, 38738}, {61600, 38749}, {61601, 38761}, {61602, 38773}, {61603, 38785}, {61605, 24466}, {61624, 46264}
X(62151) = inverse of X(37938) in Steiner circle
X(62151) = complement of X(62044)
X(62151) = anticomplement of X(62013)
X(62151) = pole of line {523, 29495} with respect to the Steiner circle
X(62151) = pole of line {185, 15699} with respect to the Jerabek hyperbola
X(62151) = pole of line {69, 55605} with respect to the Wallace hyperbola
X(62151) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1105), X(15699)}}, {{A, B, C, X(3521), X(38071)}}, {{A, B, C, X(5076), X(15318)}}, {{A, B, C, X(6662), X(50689)}}, {{A, B, C, X(21400), X(35434)}}, {{A, B, C, X(49139), X(57823)}}
X(62151) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15682, 3858}, {3, 15721, 15712}, {3, 1657, 15683}, {3, 382, 3855}, {3, 3858, 10124}, {3, 4, 15699}, {3, 5068, 15713}, {4, 12100, 12812}, {4, 14869, 11737}, {5, 550, 3528}, {20, 17800, 5}, {20, 30, 548}, {20, 3529, 382}, {20, 3832, 17538}, {20, 3861, 15691}, {20, 5059, 631}, {20, 548, 12103}, {20, 631, 3534}, {20, 6880, 15718}, {30, 10109, 15684}, {30, 10124, 15682}, {30, 12102, 5073}, {30, 15690, 14893}, {30, 15759, 3543}, {30, 3534, 547}, {30, 376, 12101}, {30, 3850, 3146}, {30, 548, 3853}, {30, 550, 546}, {140, 12103, 15690}, {140, 3853, 3859}, {382, 15681, 20}, {382, 15720, 3843}, {382, 17504, 3856}, {382, 550, 3530}, {547, 12100, 14890}, {549, 5073, 12102}, {550, 15704, 15681}, {550, 3627, 17504}, {1657, 11001, 15704}, {1657, 15681, 3529}, {2041, 2042, 5076}, {3146, 10299, 14269}, {3146, 15708, 4}, {3146, 8703, 3850}, {3522, 15709, 3}, {3522, 3544, 15700}, {3522, 3845, 12108}, {3530, 11737, 16239}, {3530, 16239, 14869}, {3530, 4205, 5054}, {3534, 5059, 3627}, {3543, 15759, 14892}, {3627, 17504, 3851}, {3830, 15712, 12811}, {3845, 6891, 11812}, {3853, 5066, 3861}, {3856, 3861, 3839}, {5068, 15713, 3628}, {5073, 17538, 549}, {6931, 10299, 15707}, {11737, 15688, 12100}, {12100, 12812, 140}, {12101, 15713, 5066}, {14269, 15688, 15708}, {14869, 15686, 550}, {15681, 15683, 15687}, {15681, 15685, 15688}, {15685, 15686, 30}, {15686, 15699, 15697}, {18481, 28216, 61597}, {42415, 42416, 6}, {42433, 42630, 42938}, {42434, 42629, 42939}

X(62152) = X(2)X(3)∩X(15)X(43324)

X(62152) lies on these lines: {2, 3}, {15, 43324}, {16, 43325}, {145, 28228}, {193, 48872}, {315, 32879}, {397, 42516}, {398, 42517}, {485, 42540}, {486, 42539}, {515, 20052}, {516, 3623}, {590, 43560}, {615, 43561}, {1131, 6488}, {1132, 6489}, {1352, 55611}, {3068, 43519}, {3069, 17852}, {3070, 9543}, {3071, 43884}, {3590, 52045}, {3591, 52046}, {3616, 28158}, {3617, 28164}, {3620, 55614}, {3621, 7991}, {3785, 32894}, {4316, 14986}, {4678, 9778}, {5237, 42112}, {5238, 42113}, {5339, 43420}, {5340, 43421}, {5343, 42433}, {5344, 42434}, {5351, 42133}, {5352, 42134}, {5422, 16936}, {5493, 31145}, {5556, 53054}, {5603, 58232}, {5921, 52987}, {5965, 48896}, {6419, 43407}, {6420, 43408}, {6447, 23267}, {6448, 23273}, {6449, 43788}, {6450, 43787}, {6453, 42276}, {6454, 42275}, {6482, 43430}, {6483, 43431}, {6776, 48879}, {7585, 42414}, {7586, 42413}, {7758, 53141}, {7982, 28232}, {8596, 10991}, {8972, 42272}, {9542, 23269}, {9545, 43576}, {9780, 59420}, {9812, 30389}, {10147, 42638}, {10148, 42637}, {10248, 58225}, {10444, 33800}, {10519, 48920}, {10541, 51538}, {10595, 28182}, {10653, 43009}, {10654, 43008}, {11002, 15012}, {11230, 58223}, {11381, 33884}, {11441, 33534}, {11488, 42683}, {11489, 42682}, {12121, 38632}, {12279, 45187}, {12512, 46933}, {13846, 60291}, {13847, 60292}, {13941, 42271}, {14853, 48891}, {14927, 20080}, {15044, 37853}, {16192, 46931}, {16625, 16981}, {16772, 43540}, {16773, 43541}, {16960, 42161}, {16961, 42160}, {20014, 20070}, {20127, 38626}, {20190, 43621}, {20477, 54111}, {22234, 29317}, {22235, 43332}, {22236, 43465}, {22237, 43333}, {22238, 43466}, {22330, 48898}, {22615, 43315}, {22644, 43314}, {23253, 51911}, {23263, 51910}, {29012, 55600}, {29181, 51170}, {29323, 55623}, {31399, 50812}, {31670, 55708}, {32815, 32882}, {32826, 32872}, {32827, 32873}, {33750, 48904}, {35007, 43619}, {35369, 38664}, {35770, 43336}, {35771, 43337}, {36836, 42141}, {36843, 42140}, {37665, 44519}, {38064, 51213}, {38068, 50867}, {38259, 54921}, {38627, 38741}, {38628, 38730}, {38631, 38753}, {39874, 55580}, {39884, 55620}, {40330, 55637}, {40693, 42429}, {40694, 42430}, {41973, 42521}, {41974, 42520}, {42085, 43015}, {42086, 43014}, {42108, 43474}, {42109, 43473}, {42115, 43329}, {42116, 43328}, {42144, 42983}, {42145, 42982}, {42157, 42800}, {42158, 42799}, {42263, 43511}, {42264, 43512}, {42512, 42813}, {42513, 42814}, {42584, 43242}, {42585, 43243}, {42588, 43252}, {42589, 43253}, {42598, 43869}, {42599, 43870}, {43193, 43495}, {43194, 43496}, {43384, 43786}, {43385, 43785}, {43618, 53096}, {43771, 56608}, {43772, 56609}, {43879, 52667}, {43880, 52666}, {46264, 55718}, {46934, 51118}, {47586, 60635}, {48873, 55588}, {48880, 55597}, {48905, 61044}, {50819, 61276}, {51092, 58242}, {51163, 55684}, {51171, 59411}, {51212, 53858}, {60324, 60628}, {60328, 60648}

X(62152) = midpoint of X(i) and X(j) for these {i,j}: {1656, 17800}, {3529, 17538}, {5059, 17578}
X(62152) = reflection of X(i) in X(j) for these {i,j}: {15682, 15694}, {15693, 15686}, {17578, 3522}, {382, 15712}, {3091, 17538}, {3146, 3091}, {3522, 20}, {3843, 550}, {4, 15696}, {5071, 3534}, {51996, 16936}, {632, 12103}
X(62152) = anticomplement of X(17578)
X(62152) = pole of line {185, 10219} with respect to the Jerabek hyperbola
X(62152) = pole of line {69, 62124} with respect to the Wallace hyperbola
X(62152) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(546), X(16251)}}, {{A, B, C, X(1105), X(46936)}}, {{A, B, C, X(1217), X(19709)}}, {{A, B, C, X(3346), X(3830)}}, {{A, B, C, X(3530), X(18850)}}, {{A, B, C, X(4846), X(35018)}}, {{A, B, C, X(5068), X(31371)}}, {{A, B, C, X(13452), X(47486)}}, {{A, B, C, X(14843), X(49138)}}, {{A, B, C, X(15077), X(49135)}}, {{A, B, C, X(17578), X(18296)}}, {{A, B, C, X(18846), X(49137)}}, {{A, B, C, X(18855), X(41991)}}, {{A, B, C, X(35510), X(50692)}}, {{A, B, C, X(38282), X(54921)}}, {{A, B, C, X(50690), X(52443)}}, {{A, B, C, X(60618), X(61138)}}
X(62152) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3544, 17568}, {3, 12102, 3090}, {3, 3544, 10303}, {3, 3627, 3544}, {3, 382, 3857}, {3, 3857, 3525}, {3, 5076, 12812}, {4, 15696, 15692}, {4, 15710, 5070}, {4, 15719, 5}, {4, 376, 3530}, {20, 1657, 15683}, {20, 17800, 3832}, {20, 3523, 3534}, {20, 3529, 3146}, {20, 3543, 550}, {20, 5059, 2}, {30, 12103, 632}, {30, 15686, 15693}, {30, 15694, 15682}, {30, 15696, 4}, {30, 15712, 382}, {30, 17538, 3091}, {30, 3522, 17578}, {30, 3534, 5071}, {30, 550, 3843}, {140, 1657, 13635}, {140, 547, 4205}, {376, 15701, 10304}, {376, 3544, 3}, {382, 10304, 5068}, {548, 15682, 5056}, {548, 5056, 15705}, {548, 6927, 7486}, {632, 12103, 15696}, {632, 3859, 5079}, {1656, 15711, 631}, {1656, 17800, 30}, {1656, 3843, 5066}, {1657, 11001, 20}, {1657, 15704, 3529}, {3091, 10303, 1656}, {3146, 13741, 15687}, {3146, 3832, 3627}, {3522, 5068, 15712}, {3523, 14891, 15717}, {3528, 5073, 3839}, {3529, 11001, 15704}, {3529, 5068, 6996}, {3534, 11539, 376}, {3543, 15717, 3854}, {3627, 11539, 546}, {3851, 15721, 13735}, {3853, 15689, 10299}, {3853, 15696, 7390}, {4188, 16860, 404}, {4188, 17536, 11345}, {5066, 14891, 11539}, {5070, 15710, 3523}, {5073, 15686, 3528}, {12103, 15696, 17538}, {12103, 15704, 15681}, {15681, 15685, 5054}, {15685, 15717, 5059}, {15692, 15696, 3522}

X(62153) = X(2)X(3)∩X(6)X(51211)

X(62153) lies on these lines: {2, 3}, {6, 51211}, {10, 50863}, {141, 51216}, {193, 48879}, {516, 16191}, {754, 11148}, {1125, 50873}, {3244, 34628}, {3589, 51029}, {3619, 50968}, {3622, 50819}, {3624, 51079}, {3626, 34638}, {3629, 51028}, {3631, 51023}, {3632, 34632}, {3634, 50866}, {3636, 50865}, {3818, 50969}, {4678, 50809}, {4681, 51064}, {4739, 51065}, {5334, 42430}, {5335, 42429}, {5343, 42938}, {5344, 42939}, {6329, 51024}, {6361, 20054}, {6455, 43560}, {6456, 43561}, {8596, 38741}, {8981, 43521}, {9540, 43515}, {9780, 50812}, {10653, 43243}, {10654, 43242}, {10721, 11693}, {11008, 48905}, {11160, 48873}, {11180, 48880}, {12820, 43364}, {12821, 43365}, {13935, 43516}, {13966, 43522}, {14927, 54174}, {15808, 50815}, {16267, 42629}, {16268, 42630}, {18480, 50813}, {18483, 50820}, {20057, 50811}, {20583, 51212}, {21850, 51177}, {21969, 52093}, {28150, 38314}, {28164, 38098}, {28168, 38074}, {29317, 33748}, {34573, 51167}, {36427, 36431}, {36967, 42635}, {36968, 42636}, {40341, 51215}, {41100, 43486}, {41101, 43485}, {41107, 42543}, {41108, 42544}, {41121, 43479}, {41122, 43480}, {41945, 42414}, {41946, 42413}, {42090, 42973}, {42091, 42972}, {42096, 43429}, {42097, 43428}, {42119, 42803}, {42120, 42804}, {42130, 43481}, {42131, 43482}, {42147, 42586}, {42148, 42587}, {42157, 49875}, {42158, 49876}, {42266, 43256}, {42267, 43257}, {42510, 42780}, {42511, 42779}, {42568, 43380}, {42569, 43381}, {42576, 53513}, {42577, 53516}, {42602, 43566}, {42603, 43567}, {42682, 56609}, {42683, 56608}, {42775, 43002}, {42776, 43003}, {42932, 43201}, {42933, 43202}, {42942, 42982}, {42943, 42983}, {42966, 46334}, {42967, 46335}, {43105, 43327}, {43106, 43326}, {43376, 43523}, {43377, 43524}, {43632, 49827}, {43633, 49826}, {46931, 50799}, {47355, 51134}, {48891, 50975}, {48896, 61044}, {50816, 50867}, {50874, 51081}, {50960, 55656}, {50971, 51213}, {50972, 51217}

X(62153) = midpoint of X(i) and X(j) for these {i,j}: {5054, 17800}
X(62153) = reflection of X(i) in X(j) for these {i,j}: {10304, 20}, {10721, 11693}, {14269, 550}, {15682, 5054}, {15684, 15699}, {15699, 12103}, {382, 17504}, {3146, 3545}, {3543, 10304}, {3545, 3534}, {4, 15689}, {5054, 15686}
X(62153) = anticomplement of X(62017)
X(62153) = pole of line {69, 62122} with respect to the Wallace hyperbola
X(62153) = intersection, other than A, B, C, of circumconics {{A, B, C, X(253), X(15687)}}, {{A, B, C, X(15693), X(18850)}}, {{A, B, C, X(16251), X(41099)}}
X(62153) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15683, 3529}, {2, 17504, 15708}, {2, 2478, 17677}, {2, 3146, 15687}, {2, 3522, 15715}, {2, 3528, 15692}, {2, 5046, 17679}, {3, 14890, 3524}, {4, 376, 15693}, {20, 15692, 3534}, {20, 30, 10304}, {20, 3543, 15697}, {20, 5056, 17538}, {30, 10304, 3543}, {30, 12103, 15699}, {30, 15686, 5054}, {30, 15689, 4}, {30, 15699, 15684}, {30, 3545, 3146}, {30, 550, 14269}, {140, 17504, 15707}, {140, 3091, 7486}, {140, 3534, 376}, {376, 11001, 15704}, {376, 11541, 3845}, {376, 15682, 5067}, {376, 15685, 5059}, {376, 3845, 15717}, {376, 5067, 15759}, {376, 6834, 1656}, {382, 15688, 5055}, {382, 3851, 12102}, {550, 14269, 15710}, {1656, 3627, 6831}, {1657, 11001, 15683}, {3522, 17566, 10299}, {3529, 11001, 15681}, {3534, 15687, 3528}, {3543, 15697, 3523}, {5054, 17800, 30}, {5055, 15688, 17504}, {5055, 15693, 11539}, {5059, 15683, 15685}, {5059, 15717, 11541}, {5073, 15690, 5071}, {8703, 12102, 15723}, {10303, 12102, 3091}, {10304, 15721, 15705}, {11001, 15683, 20}, {14269, 15707, 5079}, {14269, 15710, 2}, {14893, 15719, 15022}, {15681, 15685, 382}, {15682, 15686, 3522}, {15682, 15715, 546}, {15683, 15704, 15640}, {15686, 17800, 15682}, {15687, 15707, 3545}, {15692, 15703, 15721}, {15693, 15703, 140}

X(62154) = X(2)X(3)∩X(13)X(42543)

X(62154) lies on these lines: {2, 3}, {13, 42543}, {14, 42544}, {395, 42630}, {396, 42629}, {516, 51095}, {524, 48879}, {597, 48891}, {621, 33613}, {622, 33612}, {1151, 42576}, {1152, 42577}, {1483, 34628}, {1499, 34752}, {3070, 6478}, {3071, 6479}, {3244, 28198}, {3629, 19924}, {3631, 48880}, {3654, 28190}, {3817, 50833}, {4669, 28160}, {4677, 61245}, {5318, 42632}, {5321, 42631}, {5587, 50826}, {5690, 34638}, {5691, 38081}, {6200, 42639}, {6396, 42640}, {6409, 12818}, {6410, 12819}, {6411, 43503}, {6412, 43504}, {6429, 43342}, {6430, 43343}, {6439, 53130}, {6440, 53131}, {6441, 6560}, {6442, 6561}, {6445, 14241}, {6446, 14226}, {6480, 42572}, {6481, 42573}, {6488, 43432}, {6489, 43433}, {8667, 53143}, {8981, 42525}, {9541, 42643}, {9680, 42608}, {9691, 43519}, {10172, 50870}, {10283, 50865}, {10516, 50981}, {10653, 43108}, {10654, 43109}, {11230, 50869}, {11231, 50816}, {11480, 43877}, {11481, 43878}, {11485, 42588}, {11486, 42589}, {12816, 42109}, {12817, 42108}, {13846, 43791}, {13847, 43792}, {13966, 42524}, {14853, 51181}, {15533, 48873}, {16241, 43195}, {16242, 43196}, {16964, 42636}, {16965, 42635}, {18581, 43297}, {18582, 43296}, {20583, 48906}, {21969, 45956}, {22165, 29012}, {22615, 43212}, {22644, 43211}, {22793, 51108}, {28146, 50824}, {28150, 51103}, {28154, 51705}, {28158, 51709}, {28168, 38112}, {28172, 50821}, {28174, 51093}, {28178, 50811}, {28186, 50823}, {28202, 51071}, {28208, 34641}, {28212, 50831}, {28232, 51087}, {29317, 50979}, {29323, 50965}, {31730, 38098}, {33602, 42817}, {33603, 42818}, {33610, 52194}, {33611, 52193}, {33750, 51029}, {34747, 61295}, {35021, 36523}, {36836, 49860}, {36843, 49859}, {36967, 42145}, {36968, 42144}, {36969, 42791}, {36970, 42792}, {38022, 51118}, {38028, 50815}, {38034, 51109}, {38042, 50862}, {38079, 51163}, {38080, 52835}, {38110, 50971}, {38138, 51066}, {38176, 50868}, {38317, 51026}, {39561, 51135}, {39884, 50991}, {41100, 42117}, {41101, 42118}, {41107, 42087}, {41108, 42088}, {41112, 42097}, {41113, 42096}, {41119, 42137}, {41120, 42136}, {41121, 43401}, {41122, 43402}, {42090, 49905}, {42091, 49906}, {42099, 43106}, {42100, 43105}, {42103, 51944}, {42106, 51945}, {42107, 43476}, {42110, 43475}, {42112, 43417}, {42113, 43416}, {42115, 49873}, {42116, 49874}, {42122, 49947}, {42123, 49948}, {42126, 49812}, {42127, 49813}, {42130, 42415}, {42131, 42416}, {42135, 42528}, {42138, 42529}, {42140, 42497}, {42141, 42496}, {42147, 43485}, {42148, 43486}, {42154, 42584}, {42155, 42585}, {42215, 43209}, {42216, 43210}, {42263, 52048}, {42264, 52047}, {42266, 42417}, {42267, 42418}, {42419, 42509}, {42420, 42508}, {42431, 42506}, {42432, 42507}, {42502, 43016}, {42503, 43017}, {42510, 43640}, {42511, 43639}, {42520, 43645}, {42521, 43646}, {42532, 42779}, {42533, 42780}, {42598, 42798}, {42599, 42797}, {42686, 42906}, {42687, 42907}, {42692, 43484}, {42693, 43483}, {42781, 42942}, {42782, 42943}, {42912, 49811}, {42913, 49810}, {43254, 43562}, {43255, 43563}, {43328, 43642}, {43329, 43641}, {43473, 43554}, {43474, 43555}, {43787, 45385}, {43788, 45384}, {48920, 54169}, {50799, 61614}, {50807, 58221}, {50822, 51068}, {50832, 51110}, {50864, 59400}, {50958, 55603}, {50964, 55673}, {50994, 51184}, {51024, 59399}, {51167, 55654}, {51183, 54174}

X(62154) = midpoint of X(i) and X(j) for these {i,j}: {376, 17800}, {381, 5059}, {1657, 15683}, {3529, 15681}, {11001, 15685}
X(62154) = reflection of X(i) in X(j) for these {i,j}: {1483, 34628}, {15640, 12101}, {15682, 12100}, {15684, 140}, {15686, 15704}, {15687, 550}, {381, 12103}, {3146, 547}, {3543, 548}, {3627, 376}, {3830, 15690}, {3845, 3534}, {4, 15691}, {5, 15686}, {549, 20}, {550, 15681}, {5073, 14893}, {597, 48891}, {5690, 34638}, {51183, 54174}, {54169, 48920}
X(62154) = complement of X(62046)
X(62154) = anticomplement of X(62022)
X(62154) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(35404)}}, {{A, B, C, X(8703), X(57894)}}
X(62154) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15681}, {2, 14269, 5066}, {2, 15697, 3528}, {2, 15698, 15720}, {2, 15710, 15693}, {2, 3830, 546}, {2, 550, 8703}, {2, 8703, 17504}, {3, 15640, 12101}, {20, 3830, 15690}, {30, 12100, 15682}, {30, 12101, 15640}, {30, 12103, 381}, {30, 140, 15684}, {30, 14893, 5073}, {30, 15690, 3830}, {30, 15691, 4}, {30, 376, 3627}, {30, 547, 3146}, {30, 548, 3543}, {30, 550, 15687}, {376, 14269, 3530}, {376, 3627, 11539}, {376, 3832, 15706}, {376, 5066, 15711}, {381, 15697, 15759}, {382, 550, 14869}, {546, 1010, 3544}, {546, 3530, 1656}, {549, 15699, 3525}, {549, 15705, 15712}, {549, 3845, 10109}, {549, 550, 15688}, {1656, 10303, 16239}, {1657, 15685, 11001}, {3146, 15689, 547}, {3525, 3830, 3860}, {3528, 3529, 5059}, {3529, 11001, 2}, {3534, 15640, 11540}, {3534, 15682, 12100}, {3534, 15701, 376}, {3543, 15710, 3851}, {3830, 15716, 3545}, {3830, 15723, 6833}, {3839, 15696, 14891}, {3860, 15693, 15699}, {5066, 15759, 10303}, {5073, 10304, 14893}, {10303, 15719, 15701}, {10304, 14893, 632}, {11001, 15683, 15685}, {11001, 15685, 30}, {11539, 15701, 15713}, {11812, 15691, 15695}, {12100, 15682, 3845}, {12103, 15759, 15697}, {13735, 15716, 11812}, {15681, 15687, 15686}, {15681, 15688, 20}, {15681, 17800, 14269}, {15686, 17504, 550}, {15687, 17504, 5}, {15705, 16239, 549}

X(62155) = X(1)X(28182)∩X(2)X(3)

X(62155) lies on these lines: {1, 28182}, {2, 3}, {17, 43401}, {18, 43402}, {40, 28190}, {49, 43576}, {61, 42429}, {62, 42430}, {141, 48920}, {143, 14855}, {155, 33534}, {165, 61258}, {485, 6433}, {486, 6434}, {495, 4324}, {496, 4316}, {511, 45957}, {516, 1483}, {517, 61297}, {542, 51183}, {568, 52093}, {944, 28216}, {946, 31662}, {962, 61283}, {1131, 6445}, {1132, 6446}, {1352, 55607}, {1353, 29181}, {1385, 28158}, {1503, 48879}, {1539, 38792}, {3311, 42414}, {3312, 42413}, {3411, 42432}, {3412, 42431}, {3564, 48872}, {3579, 28172}, {3589, 55683}, {3654, 61252}, {3818, 55633}, {3917, 32137}, {4292, 15935}, {4297, 10283}, {4299, 9670}, {4301, 28146}, {4302, 9657}, {4309, 18990}, {4317, 15171}, {4325, 6284}, {4330, 7354}, {4333, 37730}, {5008, 7765}, {5041, 7756}, {5097, 29317}, {5102, 46264}, {5237, 42940}, {5238, 42941}, {5305, 43619}, {5318, 42434}, {5319, 44526}, {5321, 42433}, {5343, 42497}, {5344, 42496}, {5349, 5351}, {5350, 5352}, {5480, 48891}, {5493, 28208}, {5650, 11017}, {5690, 28164}, {5691, 38112}, {5734, 48661}, {5876, 15606}, {5881, 28186}, {5882, 28202}, {5894, 52102}, {5918, 61541}, {6101, 14915}, {6102, 14641}, {6221, 31414}, {6361, 28224}, {6407, 23269}, {6408, 23275}, {6419, 43210}, {6420, 43209}, {6427, 43257}, {6428, 43256}, {6429, 42260}, {6430, 42261}, {6431, 6560}, {6432, 6561}, {6437, 7583}, {6438, 7584}, {6449, 52667}, {6450, 52666}, {6455, 23253}, {6456, 23263}, {6480, 31454}, {6481, 35821}, {6482, 8960}, {6483, 58866}, {6484, 8981}, {6485, 13966}, {6486, 35812}, {6487, 35813}, {7747, 9606}, {7802, 14929}, {7982, 61290}, {8148, 61293}, {8550, 51166}, {8718, 9706}, {9541, 31487}, {9588, 18357}, {9589, 16200}, {9624, 40273}, {9643, 32047}, {9671, 15325}, {9680, 23251}, {9692, 13903}, {9730, 58533}, {9778, 61510}, {9812, 51700}, {9956, 59420}, {10113, 38725}, {10141, 43258}, {10142, 43259}, {10192, 32903}, {10263, 45956}, {10483, 15888}, {10575, 13391}, {10627, 11381}, {11180, 55595}, {11362, 28160}, {11485, 43634}, {11486, 43635}, {11488, 42889}, {11489, 42888}, {11495, 38170}, {11531, 28174}, {11542, 42113}, {11543, 42112}, {11591, 36987}, {11742, 31492}, {11801, 15057}, {12161, 35237}, {12279, 37484}, {12290, 13340}, {12295, 20396}, {12512, 31447}, {12699, 61278}, {12702, 61245}, {12943, 31452}, {13348, 15060}, {13474, 15067}, {13925, 42638}, {13993, 42637}, {14128, 32062}, {14677, 16003}, {14927, 34380}, {15058, 44324}, {15063, 34153}, {15069, 48873}, {15326, 37720}, {15338, 37719}, {15602, 53418}, {15815, 31417}, {16111, 20379}, {16194, 32142}, {16658, 57715}, {16772, 19106}, {16773, 19107}, {16964, 34755}, {16965, 34754}, {18483, 61270}, {18492, 61614}, {18538, 43314}, {18553, 50965}, {18583, 43621}, {18762, 43315}, {19116, 42225}, {19117, 42226}, {19130, 55680}, {20582, 55644}, {21356, 55620}, {21850, 39561}, {22165, 55597}, {22251, 38723}, {22257, 53803}, {22505, 38746}, {22515, 38735}, {22615, 35256}, {22644, 35255}, {22676, 61550}, {22791, 28150}, {22799, 38758}, {22802, 50709}, {23302, 42930}, {23303, 42931}, {24206, 55645}, {28168, 31730}, {28194, 50831}, {28212, 61295}, {29012, 48874}, {29323, 39884}, {30392, 41869}, {31399, 31663}, {31666, 38022}, {31670, 55711}, {33751, 48943}, {34628, 61288}, {34798, 43595}, {35242, 61259}, {35254, 52101}, {35770, 42215}, {35771, 42216}, {36836, 43332}, {36843, 43333}, {36967, 42165}, {36968, 42164}, {36990, 55618}, {37496, 43605}, {37587, 37722}, {37714, 61524}, {38028, 51118}, {38079, 50971}, {38081, 50808}, {38083, 50816}, {38110, 48892}, {38111, 52835}, {38136, 48904}, {38229, 38747}, {40280, 58531}, {40693, 42097}, {40694, 42096}, {41943, 42960}, {41944, 42961}, {41945, 43786}, {41946, 43785}, {42085, 42584}, {42086, 42585}, {42090, 42137}, {42091, 42136}, {42099, 42118}, {42100, 42117}, {42101, 42489}, {42102, 42488}, {42108, 42121}, {42109, 42124}, {42143, 42491}, {42146, 42490}, {42150, 42633}, {42151, 42634}, {42154, 42924}, {42155, 42925}, {42157, 42799}, {42158, 42800}, {42159, 42625}, {42160, 42913}, {42161, 42912}, {42162, 42626}, {42283, 51910}, {42284, 51911}, {42500, 43399}, {42501, 43400}, {42520, 42612}, {42521, 42613}, {42528, 42599}, {42529, 42598}, {42590, 42773}, {42591, 42774}, {42641, 43523}, {42642, 43524}, {42791, 54593}, {42792, 54594}, {42793, 42908}, {42794, 42909}, {42934, 43105}, {42935, 43106}, {42944, 43026}, {42945, 43027}, {42962, 43869}, {42963, 43870}, {42974, 43639}, {42975, 43640}, {42980, 43016}, {42981, 43017}, {43174, 50822}, {43197, 52079}, {43198, 52080}, {43497, 44015}, {43498, 44016}, {43618, 44519}, {44882, 50664}, {47354, 55631}, {48310, 55677}, {48876, 48880}, {48884, 55640}, {48885, 55636}, {48901, 55691}, {48905, 55722}, {48910, 55703}, {50811, 61282}, {50832, 51119}, {50978, 52987}, {50987, 51165}, {50988, 55675}, {51025, 51184}, {51127, 55667}, {51128, 55659}, {51261, 56516}, {51537, 55639}, {51538, 51732}, {52945, 59657}, {54157, 55038}, {58217, 61265}, {58231, 61275}, {58241, 61289}, {58248, 61296}

X(62155) = midpoint of X(i) and X(j) for these {i,j}: {3, 5059}, {20, 17800}, {1657, 3529}, {12279, 37484}, {15683, 15685}
X(62155) = reflection of X(i) in X(j) for these {i,j}: {141, 48920}, {10263, 46850}, {11381, 10627}, {12290, 31834}, {15640, 14893}, {15684, 12100}, {15686, 11001}, {15687, 3534}, {15704, 1657}, {21850, 48898}, {382, 548}, {3146, 140}, {3543, 15690}, {3627, 550}, {3830, 15691}, {3845, 15686}, {33697, 12512}, {39884, 48881}, {4, 12103}, {43621, 18583}, {48876, 48880}, {48943, 33751}, {5, 20}, {550, 15704}, {5073, 546}, {5480, 48891}, {51163, 48892}, {6102, 14641}, {61245, 12702}, {8703, 15681}, {9589, 61286}
X(62155) = inverse of X(61955) in orthocentroidal circle
X(62155) = inverse of X(61955) in Yff hyperbola
X(62155) = complement of X(49136)
X(62155) = anticomplement of X(62026)
X(62155) = pole of line {5214, 28179} with respect to the Conway circle
X(62155) = pole of line {28179, 44409} with respect to the incircle
X(62155) = pole of line {523, 61955} with respect to the orthocentroidal circle
X(62155) = pole of line {523, 39508} with respect to the Steiner circle
X(62155) = pole of line {185, 547} with respect to the Jerabek hyperbola
X(62155) = pole of line {6, 61955} with respect to the Kiepert hyperbola
X(62155) = pole of line {523, 61955} with respect to the Yff hyperbola
X(62155) = pole of line {69, 55608} with respect to the Wallace hyperbola
X(62155) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(15683)}}, {{A, B, C, X(74), X(44880)}}, {{A, B, C, X(547), X(1105)}}, {{A, B, C, X(3521), X(5066)}}, {{A, B, C, X(3830), X(15318)}}, {{A, B, C, X(3854), X(16251)}}, {{A, B, C, X(4846), X(7486)}}, {{A, B, C, X(14093), X(60122)}}, {{A, B, C, X(14861), X(55859)}}, {{A, B, C, X(14892), X(60121)}}, {{A, B, C, X(15682), X(15749)}}, {{A, B, C, X(15696), X(18848)}}, {{A, B, C, X(15708), X(60007)}}, {{A, B, C, X(15709), X(15740)}}, {{A, B, C, X(15710), X(18849)}}, {{A, B, C, X(44731), X(55575)}}, {{A, B, C, X(52294), X(57715)}}
X(62155) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 11812, 15712}, {3, 15686, 550}, {3, 15723, 3523}, {3, 1656, 15708}, {3, 1657, 11001}, {3, 3543, 3850}, {3, 3545, 140}, {3, 381, 3533}, {3, 382, 3832}, {3, 3832, 16239}, {3, 3850, 11539}, {3, 4, 547}, {3, 5056, 11812}, {4, 17538, 15710}, {4, 5054, 12811}, {4, 5070, 3859}, {4, 5079, 3860}, {4, 8703, 632}, {5, 11539, 5067}, {5, 3526, 15699}, {20, 15696, 12103}, {20, 15717, 17538}, {20, 17578, 376}, {20, 3146, 3528}, {20, 3528, 3534}, {20, 3529, 17800}, {20, 382, 548}, {30, 11001, 15686}, {30, 12100, 15684}, {30, 12103, 4}, {30, 140, 3146}, {30, 14893, 15640}, {30, 15686, 3845}, {30, 15690, 3543}, {30, 1657, 15704}, {30, 546, 5073}, {30, 548, 382}, {30, 550, 3627}, {140, 15687, 3857}, {140, 3146, 15687}, {140, 3843, 5}, {140, 3860, 5079}, {376, 17578, 3526}, {381, 15710, 11540}, {382, 631, 3861}, {546, 11812, 5056}, {548, 3861, 631}, {549, 3627, 3858}, {550, 3627, 549}, {1656, 15682, 12102}, {1656, 3861, 6970}, {1657, 15685, 3529}, {2041, 2042, 3830}, {2043, 2044, 14093}, {2937, 7464, 10226}, {3146, 3528, 3843}, {3522, 15702, 3}, {3522, 3628, 17504}, {3522, 3830, 3628}, {3523, 5068, 13725}, {3523, 5076, 5066}, {3526, 17578, 546}, {3526, 5073, 17578}, {3528, 5079, 3530}, {3529, 11001, 5059}, {3529, 15683, 1657}, {3530, 12103, 15696}, {3530, 3859, 5070}, {3628, 15691, 3522}, {3830, 12100, 6959}, {3832, 7486, 3545}, {3839, 15720, 12812}, {3843, 15696, 15692}, {3851, 10304, 12108}, {5066, 15689, 15714}, {5070, 5079, 7486}, {5072, 10299, 10124}, {5072, 15695, 10299}, {5072, 6831, 3856}, {6658, 8353, 8362}, {8703, 11540, 15711}, {10263, 46850, 45956}, {11001, 17800, 3853}, {11413, 17714, 15646}, {11539, 15686, 15690}, {12088, 18859, 15331}, {12101, 12108, 3851}, {12290, 13340, 31834}, {12512, 33697, 38042}, {12812, 15759, 15720}, {14269, 15697, 14891}, {14784, 14785, 15683}, {14893, 15688, 15713}, {15640, 15688, 14893}, {15681, 15696, 20}, {15683, 15685, 30}, {15690, 15719, 8703}, {28178, 61286, 9589}, {29323, 48881, 39884}, {37496, 52100, 43605}, {42099, 42118, 43630}, {42099, 43633, 42147}, {42100, 42117, 43631}, {42100, 43632, 42148}, {42147, 43633, 42118}, {42148, 43632, 42117}, {42225, 42259, 19116}, {42226, 42258, 19117}, {43621, 59411, 18583}, {48892, 51163, 38110}

X(62156) = X(2)X(3)∩X(371)X(43786)

X(62156) lies on these lines: {2, 3}, {371, 43786}, {372, 43785}, {395, 43425}, {396, 43424}, {397, 42585}, {398, 42584}, {1151, 43340}, {1152, 43341}, {1503, 55586}, {1587, 42575}, {1588, 42574}, {3564, 55581}, {5349, 42628}, {5350, 42627}, {5365, 42690}, {5366, 42691}, {5493, 28186}, {5882, 28178}, {6200, 43409}, {6396, 43410}, {6407, 43376}, {6408, 43377}, {6417, 43797}, {6418, 43798}, {6433, 43515}, {6434, 43516}, {6435, 42266}, {6436, 42267}, {6459, 56619}, {6460, 56618}, {6494, 19117}, {6495, 19116}, {6498, 43407}, {6499, 43408}, {7991, 50830}, {8550, 48896}, {8981, 43791}, {9541, 43411}, {9692, 43521}, {9935, 12379}, {12007, 29317}, {13382, 14449}, {13393, 14677}, {13464, 28154}, {13474, 44324}, {13607, 28146}, {13966, 43792}, {16241, 42695}, {16242, 42694}, {16266, 33534}, {18358, 48920}, {18481, 61285}, {18553, 55619}, {18583, 55700}, {19106, 42684}, {19107, 42685}, {23249, 43413}, {23259, 43414}, {28168, 43174}, {29012, 55592}, {29181, 55719}, {29323, 55609}, {32903, 61606}, {34507, 55598}, {36836, 43422}, {36843, 43423}, {36967, 42965}, {36968, 42964}, {41973, 42100}, {41974, 42099}, {42090, 42889}, {42091, 42888}, {42108, 42908}, {42109, 42909}, {42122, 42431}, {42123, 42432}, {42130, 43769}, {42131, 43770}, {42144, 42151}, {42145, 42150}, {42147, 42429}, {42148, 42430}, {42225, 43336}, {42226, 43337}, {42629, 43773}, {42630, 43774}, {42793, 42796}, {42794, 42795}, {42912, 43426}, {42913, 43427}, {42918, 43442}, {42919, 43443}, {42948, 43293}, {42949, 43292}, {42990, 43108}, {42991, 43109}, {42998, 43630}, {42999, 43631}, {43150, 55599}, {43430, 43794}, {43431, 43793}, {43621, 51732}, {44882, 55707}, {48879, 55589}, {48880, 55605}, {48881, 55613}, {48898, 55712}, {50827, 61249}, {50985, 53097}, {51022, 55637}, {59420, 61259}

X(62156) = midpoint of X(i) and X(j) for these {i,j}: {550, 5059}, {15704, 17800}
X(62156) = reflection of X(i) in X(j) for these {i,j}: {12100, 15681}, {12101, 15686}, {15684, 15759}, {15691, 11001}, {18358, 48920}, {3146, 3530}, {3853, 12103}, {43621, 51732}, {546, 20}, {548, 15704}, {5073, 3850}, {61545, 48880}
X(62156) = pole of line {185, 61907} with respect to the Jerabek hyperbola
X(62156) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3519), X(15686)}}, {{A, B, C, X(13623), X(14869)}}, {{A, B, C, X(14861), X(16239)}}, {{A, B, C, X(34483), X(44245)}}
X(62156) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4, 10299, 15022}, {4, 10303, 3851}, {4, 140, 5066}, {4, 15683, 1657}, {4, 15698, 5056}, {4, 3522, 3526}, {4, 5055, 3858}, {4, 548, 140}, {5, 15709, 3628}, {20, 15690, 12103}, {20, 15705, 17538}, {20, 30, 546}, {30, 11001, 15691}, {30, 12103, 3853}, {30, 15681, 12100}, {30, 15686, 12101}, {30, 15759, 15684}, {30, 3530, 3146}, {30, 3850, 5073}, {382, 10304, 3857}, {546, 548, 549}, {549, 15022, 16239}, {549, 15688, 15759}, {549, 15704, 20}, {550, 5073, 3850}, {1657, 17800, 4}, {1657, 5059, 550}, {3146, 15686, 3530}, {3525, 5068, 1656}, {3526, 15640, 3627}, {3529, 15683, 17800}, {3534, 15684, 15709}, {3627, 12100, 3859}, {3861, 11540, 5072}, {11541, 15696, 15687}, {14813, 14814, 15686}, {14869, 17578, 3860}, {14890, 17538, 548}, {15683, 17800, 15704}, {15687, 15696, 12108}, {15688, 15691, 15690}, {15689, 17578, 14869}, {15704, 17800, 30}, {42090, 42889, 43197}

X(62157) = X(2)X(3)∩X(511)X(51182)

X(62157) lies on these lines: {2, 3}, {511, 51182}, {515, 50830}, {516, 51087}, {1483, 28202}, {1503, 50985}, {3625, 28208}, {3630, 11645}, {4114, 15935}, {4677, 28186}, {4745, 28172}, {5318, 33607}, {5321, 33606}, {5334, 43640}, {5335, 43639}, {6490, 42576}, {6491, 42577}, {6564, 42606}, {6565, 42607}, {8584, 29317}, {10283, 28158}, {10302, 54852}, {10653, 42509}, {10654, 42508}, {12007, 48896}, {12816, 42124}, {12817, 42121}, {13665, 42538}, {13785, 42537}, {16772, 43550}, {16773, 43551}, {17502, 50869}, {17508, 51026}, {18510, 43382}, {18512, 43383}, {19106, 42791}, {19107, 42792}, {22165, 48874}, {23251, 42608}, {23261, 42609}, {28146, 51071}, {28150, 50824}, {28160, 50823}, {28164, 50827}, {28174, 50831}, {28182, 50811}, {29012, 50978}, {29181, 51140}, {34632, 61245}, {35255, 43568}, {35256, 43569}, {36969, 42502}, {36970, 42503}, {37640, 42689}, {37641, 42688}, {38034, 50815}, {38079, 48904}, {38136, 50971}, {38138, 50808}, {38140, 50816}, {40273, 51110}, {41100, 43499}, {41101, 43500}, {41107, 42145}, {41108, 42144}, {41112, 42122}, {41113, 42123}, {41121, 42109}, {41122, 42108}, {42096, 42510}, {42097, 42511}, {42099, 42922}, {42100, 42923}, {42119, 43648}, {42120, 43647}, {42133, 42515}, {42134, 42514}, {42136, 49906}, {42137, 49905}, {42154, 43109}, {42155, 43108}, {42164, 42436}, {42165, 42435}, {42215, 42418}, {42216, 42417}, {42225, 43209}, {42226, 43210}, {42263, 43336}, {42264, 43337}, {42271, 43341}, {42272, 43340}, {42275, 52048}, {42276, 52047}, {42429, 43007}, {42430, 43006}, {42478, 49826}, {42479, 49827}, {42504, 42543}, {42505, 42544}, {42506, 42942}, {42507, 42943}, {42584, 42634}, {42585, 42633}, {42631, 42940}, {42632, 42941}, {42684, 43401}, {42685, 43402}, {42690, 42888}, {42691, 42889}, {42968, 43465}, {42969, 43466}, {42976, 43491}, {42977, 43492}, {43101, 43476}, {43104, 43475}, {43105, 43244}, {43106, 43245}, {43338, 43343}, {43339, 43342}, {43416, 49860}, {43417, 49859}, {47353, 51184}, {48310, 48943}, {50825, 61260}, {50872, 61293}, {51072, 61251}, {51129, 55670}, {51138, 59399}, {51142, 55606}, {51180, 54132}, {51181, 51185}, {54608, 60250}, {54643, 60649}, {60175, 60630}, {60228, 60323}

X(62157) = midpoint of X(i) and X(j) for these {i,j}: {5059, 15681}, {15683, 17800}
X(62157) = reflection of X(i) in X(j) for these {i,j}: {15640, 5066}, {15682, 15690}, {15684, 548}, {15686, 1657}, {15687, 20}, {15704, 15683}, {382, 15691}, {3543, 12103}, {3627, 15686}, {5, 15681}, {549, 15704}, {5073, 547}, {61245, 34632}, {8703, 11001}
X(62157) = complement of X(62050)
X(62157) = anticomplement of X(62031)
X(62157) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3845), X(57896)}}, {{A, B, C, X(10301), X(54852)}}, {{A, B, C, X(11812), X(13623)}}
X(62157) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 14093, 12100}, {2, 3534, 548}, {2, 3627, 3845}, {4, 3534, 15759}, {5, 8703, 15693}, {20, 30, 15687}, {20, 632, 550}, {30, 12103, 3543}, {30, 15683, 15704}, {30, 15686, 3627}, {30, 15690, 15682}, {30, 15691, 382}, {30, 5066, 15640}, {30, 547, 5073}, {30, 548, 15684}, {376, 12101, 15713}, {548, 14893, 14890}, {549, 5055, 632}, {550, 3845, 15711}, {3534, 15640, 5066}, {3534, 15682, 11540}, {3534, 15685, 15683}, {3534, 3830, 15698}, {3534, 6834, 10124}, {3543, 15695, 10109}, {3543, 17504, 3858}, {3830, 15697, 11812}, {3845, 15711, 15699}, {6872, 15710, 15700}, {10109, 12103, 15695}, {10109, 15695, 17504}, {10304, 17678, 10299}, {11001, 15640, 3534}, {11540, 15690, 10304}, {11812, 15697, 8703}, {12812, 15718, 11539}, {14093, 15702, 14891}, {14890, 14893, 5072}, {14890, 15712, 549}, {14891, 15681, 15686}, {14893, 15689, 15712}, {15640, 15683, 11001}, {15640, 15698, 3830}, {15681, 15682, 15690}, {15682, 15690, 5}, {15682, 17538, 2}, {15683, 17800, 30}, {15684, 15706, 4}, {15686, 15687, 14093}, {15686, 15712, 15689}, {15687, 17504, 3544}

X(62158) = X(2)X(3)∩X(6)X(42429)

X(62158) lies on these lines: {2, 3}, {6, 42429}, {15, 43428}, {16, 43429}, {182, 51173}, {355, 50868}, {485, 43887}, {486, 43888}, {542, 55582}, {599, 29323}, {946, 51119}, {1160, 13811}, {1161, 13690}, {1327, 6449}, {1328, 6450}, {1351, 51166}, {1352, 51025}, {1482, 51120}, {3241, 28178}, {3311, 43210}, {3312, 43209}, {3655, 28150}, {3679, 28168}, {4701, 12702}, {5008, 44526}, {5097, 43273}, {5102, 29317}, {5351, 42953}, {5352, 42952}, {5476, 55699}, {5480, 51165}, {5691, 50797}, {5901, 50819}, {6407, 42538}, {6408, 42537}, {6417, 42414}, {6418, 42413}, {6427, 42417}, {6428, 42418}, {6429, 35820}, {6430, 35821}, {6431, 42266}, {6432, 42267}, {6437, 35822}, {6438, 35823}, {6445, 52667}, {6446, 52666}, {6451, 42602}, {6452, 42603}, {6480, 13665}, {6481, 13785}, {6484, 13846}, {6485, 13847}, {6486, 23251}, {6487, 23261}, {6519, 43794}, {6522, 43793}, {6684, 50800}, {8960, 10141}, {8981, 43434}, {9668, 37587}, {9681, 43786}, {9691, 23269}, {9703, 43576}, {9956, 50812}, {10142, 58866}, {10246, 28158}, {10247, 28182}, {10516, 55640}, {11178, 55627}, {11180, 55593}, {11278, 28202}, {11531, 28198}, {11645, 11898}, {11742, 15602}, {11999, 46730}, {12117, 38744}, {12121, 56567}, {12355, 38741}, {12645, 28208}, {12943, 51817}, {13321, 14855}, {13713, 45579}, {13836, 45578}, {13903, 42272}, {13961, 42271}, {13966, 43435}, {14537, 44519}, {14641, 21969}, {14848, 48910}, {14915, 54048}, {14927, 51214}, {15087, 35237}, {16200, 28146}, {16966, 51945}, {16967, 51944}, {18440, 48879}, {18445, 33534}, {18510, 41946}, {18512, 41945}, {18526, 28194}, {18583, 50975}, {19924, 50962}, {20582, 55643}, {21356, 55616}, {21358, 48885}, {22165, 55595}, {23253, 43211}, {23263, 43212}, {24206, 50968}, {25561, 55645}, {25565, 55673}, {28154, 31162}, {28160, 34718}, {28164, 59503}, {28172, 34638}, {28174, 34748}, {28186, 34632}, {28190, 34627}, {28216, 34631}, {29012, 55591}, {31423, 50866}, {31730, 38066}, {33179, 48661}, {34754, 42097}, {34755, 42096}, {36967, 42127}, {36968, 42126}, {36969, 42817}, {36970, 42818}, {36990, 50954}, {37498, 52100}, {37517, 48905}, {37640, 42585}, {37641, 42584}, {38072, 48892}, {38723, 38792}, {38725, 38788}, {38731, 38746}, {38735, 38742}, {39561, 54131}, {41100, 42891}, {41101, 42890}, {41107, 43194}, {41108, 43193}, {41943, 42128}, {41944, 42125}, {41951, 43790}, {41952, 43789}, {42087, 42971}, {42088, 42970}, {42090, 43401}, {42091, 43402}, {42099, 61719}, {42112, 42816}, {42113, 42815}, {42115, 42940}, {42116, 42941}, {42129, 42528}, {42130, 42155}, {42131, 42154}, {42132, 42529}, {42153, 42631}, {42156, 42632}, {42159, 42792}, {42162, 42791}, {42164, 42510}, {42165, 42511}, {42431, 49947}, {42432, 49948}, {42433, 42981}, {42434, 42980}, {42512, 42693}, {42513, 42692}, {42514, 43201}, {42515, 43202}, {42924, 49827}, {42925, 49826}, {42932, 43473}, {42933, 43474}, {42966, 43633}, {42967, 43632}, {42998, 43108}, {42999, 43109}, {43205, 43637}, {43206, 43636}, {43507, 43788}, {43508, 43787}, {43621, 51737}, {43769, 49876}, {43770, 49875}, {46267, 48891}, {47352, 48904}, {47353, 48880}, {47354, 55629}, {48662, 50967}, {48873, 50955}, {48874, 51023}, {48884, 55636}, {48898, 51024}, {48920, 55633}, {50806, 51118}, {50809, 61510}, {50825, 50867}, {50874, 51084}, {50963, 51163}, {50966, 61545}, {50969, 51537}, {50977, 55622}, {50980, 51217}, {50987, 51213}, {51137, 51164}, {51172, 51212}, {51175, 55584}, {51176, 61624}, {51186, 55631}, {51188, 55583}, {53023, 55685}, {54917, 60279}, {55695, 59411}

X(62158) = midpoint of X(i) and X(j) for these {i,j}: {5059, 11001}, {15685, 17800}
X(62158) = reflection of X(i) in X(j) for these {i,j}: {1657, 15685}, {12355, 38741}, {15640, 5}, {15681, 15683}, {15682, 550}, {15684, 376}, {15685, 3529}, {2, 15704}, {21969, 14641}, {3, 11001}, {381, 15681}, {382, 3534}, {3146, 8703}, {3534, 1657}, {3543, 15686}, {3830, 20}, {38744, 12117}, {43273, 48896}, {43621, 51737}, {47353, 48880}, {48661, 50811}, {48662, 50967}, {5073, 2}, {50955, 48873}, {51023, 48874}, {51024, 48898}, {51027, 55587}, {51175, 55584}, {51188, 55583}, {53780, 35237}
X(62158) = inverse of X(61957) in orthocentroidal circle
X(62158) = inverse of X(61957) in Yff hyperbola
X(62158) = anticomplement of X(35404)
X(62158) = pole of line {523, 61957} with respect to the orthocentroidal circle
X(62158) = pole of line {185, 61911} with respect to the Jerabek hyperbola
X(62158) = pole of line {6, 61957} with respect to the Kiepert hyperbola
X(62158) = pole of line {523, 61957} with respect to the Yff hyperbola
X(62158) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(265), X(15640)}}, {{A, B, C, X(1494), X(5073)}}, {{A, B, C, X(15714), X(57822)}}, {{A, B, C, X(15721), X(18850)}}, {{A, B, C, X(18550), X(23046)}}, {{A, B, C, X(46853), X(60122)}}
X(62158) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 30, 5073}, {2, 376, 15714}, {3, 11539, 15693}, {3, 15681, 15686}, {3, 15719, 15706}, {3, 17800, 5059}, {3, 381, 15723}, {3, 3830, 3545}, {3, 3850, 3526}, {3, 5055, 11812}, {3, 5067, 15720}, {3, 5073, 3853}, {4, 15705, 10109}, {4, 376, 15721}, {5, 30, 15640}, {20, 10109, 15689}, {20, 15688, 3534}, {20, 30, 3830}, {20, 3146, 10299}, {20, 3525, 550}, {20, 3545, 15690}, {30, 11001, 3}, {30, 15686, 3543}, {30, 15704, 2}, {30, 3529, 15685}, {30, 3534, 382}, {30, 376, 15684}, {30, 550, 15682}, {30, 8703, 3146}, {376, 15687, 15694}, {376, 15700, 14093}, {376, 3543, 547}, {376, 381, 15700}, {381, 15693, 15703}, {381, 549, 1656}, {548, 3839, 15701}, {549, 16239, 15702}, {550, 14893, 15692}, {1656, 15688, 15716}, {1656, 15716, 5054}, {1657, 15696, 15704}, {3091, 16370, 3090}, {3146, 8703, 14269}, {3522, 5066, 15707}, {3525, 15692, 549}, {3543, 15683, 11001}, {3543, 15692, 3832}, {3543, 15702, 3845}, {3545, 11001, 20}, {3545, 15705, 11539}, {3628, 15710, 15722}, {3839, 15701, 5079}, {3850, 8703, 15708}, {5055, 15682, 5076}, {5071, 8703, 15718}, {5073, 15704, 15696}, {11001, 15686, 15681}, {11645, 55587, 51027}, {14269, 15718, 5071}, {14893, 15692, 5055}, {15681, 15683, 1657}, {15681, 15684, 376}, {15681, 15685, 15683}, {15682, 15692, 14893}, {15684, 15694, 15687}, {15685, 17800, 30}, {15687, 15694, 381}, {15689, 15705, 15688}, {42429, 42430, 6}

X(62159) = X(2)X(3)∩X(15)X(43773)

X(62159) lies on these lines: {2, 3}, {15, 43773}, {16, 43774}, {17, 42109}, {18, 42108}, {40, 61251}, {141, 55625}, {185, 13421}, {397, 42099}, {398, 42100}, {516, 61293}, {1353, 48905}, {1483, 11224}, {1503, 55585}, {1539, 22251}, {2777, 44762}, {3070, 43786}, {3071, 43785}, {3818, 55630}, {5237, 43402}, {5238, 43401}, {5339, 42112}, {5340, 42113}, {5349, 42121}, {5350, 42124}, {5365, 42115}, {5366, 42116}, {5480, 55696}, {5493, 28160}, {5690, 28168}, {5882, 28146}, {5894, 14864}, {5946, 12002}, {6053, 34153}, {6284, 37602}, {6468, 42260}, {6469, 42261}, {6470, 19117}, {6471, 19116}, {6484, 53517}, {6485, 53520}, {6759, 50709}, {7917, 32820}, {7987, 61270}, {7991, 50804}, {8162, 18990}, {8550, 29317}, {8960, 42272}, {9624, 50832}, {10263, 13382}, {10283, 41869}, {10619, 54157}, {11742, 31401}, {12902, 13393}, {13391, 45957}, {13464, 28158}, {13474, 54042}, {13603, 26861}, {13846, 43432}, {13847, 43433}, {13925, 52667}, {13993, 52666}, {14449, 15072}, {14861, 57730}, {14862, 51491}, {15105, 18400}, {15516, 21850}, {15520, 48896}, {16192, 61262}, {16808, 42959}, {16809, 42958}, {16962, 43424}, {16963, 43425}, {16964, 42634}, {16965, 42633}, {18481, 28182}, {18553, 48881}, {19106, 42903}, {19107, 42902}, {20791, 58531}, {21167, 48942}, {22236, 43639}, {22238, 43640}, {22791, 28154}, {25555, 48891}, {25565, 51134}, {28150, 34773}, {28172, 38176}, {28174, 61295}, {28186, 61245}, {28190, 37705}, {28202, 51077}, {29012, 55590}, {29181, 55720}, {29323, 48876}, {30315, 61614}, {30714, 34584}, {31487, 43411}, {31730, 38112}, {32062, 32142}, {34507, 48874}, {34628, 61286}, {36987, 45959}, {37640, 43634}, {37641, 43635}, {38110, 42785}, {38136, 48892}, {39884, 48880}, {40273, 61273}, {41973, 42148}, {41974, 42147}, {42085, 42924}, {42086, 42925}, {42087, 42431}, {42088, 42432}, {42096, 42151}, {42097, 42150}, {42103, 42774}, {42104, 43239}, {42105, 43238}, {42106, 42773}, {42117, 42158}, {42118, 42157}, {42119, 42922}, {42120, 42923}, {42130, 42998}, {42131, 42999}, {42135, 42944}, {42136, 42149}, {42137, 42152}, {42138, 42945}, {42140, 42989}, {42141, 42988}, {42163, 42908}, {42166, 42909}, {42225, 42267}, {42226, 42266}, {42271, 58866}, {42415, 56615}, {42416, 56614}, {42429, 43632}, {42430, 43633}, {42433, 42940}, {42434, 42941}, {42528, 42978}, {42529, 42979}, {42543, 43107}, {42544, 43100}, {42586, 43109}, {42587, 43108}, {42682, 43547}, {42683, 43546}, {42684, 42960}, {42685, 42961}, {42916, 43771}, {42917, 43772}, {42934, 43244}, {42935, 43245}, {42938, 43001}, {42939, 43000}, {42942, 42992}, {42943, 42993}, {42970, 43307}, {42971, 43306}, {43364, 43447}, {43365, 43446}, {44882, 55706}, {45186, 45956}, {48884, 55635}, {48885, 55638}, {48898, 55710}, {48901, 55693}, {48910, 59399}, {48920, 55634}, {50865, 61278}, {50959, 55681}, {50961, 53097}, {50972, 55652}, {50980, 55647}, {50986, 55724}, {50991, 55611}, {51023, 55595}, {51910, 53519}, {51911, 53518}, {52100, 56292}

X(62159) = midpoint of X(i) and X(j) for these {i,j}: {1657, 5059}, {3529, 17800}
X(62159) = reflection of X(i) in X(j) for these {i,j}: {10263, 14641}, {1353, 48905}, {15640, 547}, {15682, 15691}, {15684, 15690}, {382, 12103}, {3146, 548}, {3627, 20}, {3845, 15681}, {39884, 48880}, {48874, 48879}, {48906, 48896}, {5, 15704}, {549, 11001}, {550, 1657}, {5073, 140}, {51163, 48891}
X(62159) = complement of X(49134)
X(62159) = anticomplement of X(62034)
X(62159) = pole of line {185, 35018} with respect to the Jerabek hyperbola
X(62159) = pole of line {69, 55611} with respect to the Wallace hyperbola
X(62159) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(632), X(14861)}}, {{A, B, C, X(1105), X(35018)}}, {{A, B, C, X(3519), X(12103)}}, {{A, B, C, X(3521), X(12811)}}, {{A, B, C, X(3853), X(15319)}}, {{A, B, C, X(4846), X(46936)}}, {{A, B, C, X(6662), X(14269)}}, {{A, B, C, X(8703), X(26861)}}, {{A, B, C, X(13603), X(26863)}}, {{A, B, C, X(14841), X(15681)}}, {{A, B, C, X(14865), X(57730)}}, {{A, B, C, X(15713), X(40448)}}, {{A, B, C, X(41986), X(55958)}}, {{A, B, C, X(47599), X(60171)}}
X(62159) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15682, 3861}, {3, 15687, 5}, {3, 15697, 548}, {3, 15709, 3530}, {3, 17578, 5066}, {3, 20, 15691}, {3, 382, 3839}, {3, 3855, 10124}, {3, 5, 15713}, {4, 550, 15712}, {5, 15714, 14869}, {20, 11541, 381}, {20, 140, 550}, {20, 15682, 3}, {20, 3090, 15689}, {20, 3146, 3524}, {20, 3529, 15685}, {30, 12103, 382}, {30, 140, 5073}, {30, 15681, 3845}, {30, 15690, 15684}, {30, 15691, 15682}, {30, 547, 15640}, {30, 548, 3146}, {140, 12101, 3850}, {140, 12811, 1656}, {140, 14891, 3523}, {140, 3850, 3090}, {140, 3861, 5068}, {140, 5068, 15699}, {140, 5073, 3627}, {140, 550, 8703}, {376, 3853, 632}, {382, 15710, 546}, {546, 14891, 5070}, {549, 5076, 6970}, {550, 1657, 15704}, {631, 15684, 12102}, {1656, 1657, 15681}, {1656, 3524, 140}, {1657, 17800, 5059}, {1657, 5059, 30}, {1657, 5073, 20}, {2045, 2046, 15723}, {3522, 3523, 15710}, {3522, 5073, 12101}, {3524, 8703, 15714}, {3528, 15640, 5076}, {3528, 5076, 547}, {3529, 5059, 1657}, {3530, 3830, 3857}, {3543, 15696, 3628}, {3832, 15688, 12108}, {3839, 15683, 11001}, {3839, 3850, 3858}, {3850, 12103, 3522}, {3859, 15759, 3525}, {3861, 10124, 12811}, {6824, 15712, 2478}, {8703, 11539, 14891}, {12087, 18859, 12107}, {12101, 15689, 549}, {12102, 15690, 631}, {14269, 15717, 12812}, {14813, 14814, 12103}, {14869, 15687, 3855}, {15681, 15714, 15686}, {15682, 15699, 15687}

X(62160) = X(2)X(3)∩X(6)X(41957)

X(62160) lies on these lines: {2, 3}, {6, 41957}, {15, 49811}, {16, 49810}, {40, 51072}, {145, 28198}, {147, 15300}, {165, 50862}, {193, 19924}, {315, 32896}, {395, 43420}, {396, 43421}, {485, 42525}, {486, 42524}, {511, 51178}, {515, 50817}, {516, 50839}, {542, 55581}, {598, 54522}, {621, 33610}, {622, 33611}, {944, 28202}, {962, 34628}, {1151, 42570}, {1152, 42571}, {1270, 13678}, {1271, 13798}, {1327, 8972}, {1328, 13941}, {1350, 50990}, {1352, 55605}, {1503, 50973}, {1699, 50815}, {1992, 48905}, {1993, 33534}, {1994, 35237}, {2549, 14075}, {2996, 54851}, {3068, 42538}, {3069, 42537}, {3284, 52707}, {3424, 60216}, {3620, 48880}, {3654, 28168}, {3656, 28154}, {3849, 11148}, {4297, 51105}, {4316, 5274}, {4324, 5261}, {4669, 28164}, {4677, 34632}, {4745, 5691}, {5032, 46264}, {5050, 51177}, {5304, 43619}, {5318, 43332}, {5321, 43333}, {5334, 42510}, {5335, 42511}, {5343, 16963}, {5344, 16962}, {5365, 42433}, {5366, 42434}, {5395, 54734}, {5476, 50975}, {5731, 28158}, {5734, 51107}, {5921, 15533}, {6200, 43507}, {6221, 43316}, {6361, 28208}, {6396, 43508}, {6398, 43317}, {6425, 43786}, {6426, 43785}, {6435, 6560}, {6436, 6561}, {6453, 43376}, {6454, 43377}, {6455, 42526}, {6456, 42527}, {6484, 43515}, {6485, 43516}, {6564, 43314}, {6565, 43315}, {6776, 55719}, {6781, 37689}, {7585, 42276}, {7586, 42275}, {7620, 47101}, {7739, 34571}, {7750, 32869}, {7802, 32836}, {7811, 32892}, {7967, 28182}, {7988, 50874}, {8584, 51212}, {8596, 9862}, {9542, 23249}, {9543, 23269}, {9544, 43576}, {9589, 51097}, {9692, 53513}, {9740, 32479}, {9778, 28172}, {9812, 51705}, {9963, 20214}, {10165, 50820}, {10519, 55613}, {10653, 42430}, {10654, 42429}, {10722, 52695}, {10723, 36523}, {11002, 14855}, {11003, 13482}, {11057, 32815}, {11160, 11645}, {11179, 48896}, {11180, 48873}, {11455, 33884}, {11488, 42791}, {11489, 42792}, {11522, 41150}, {11668, 54896}, {13665, 43521}, {13785, 43522}, {13846, 52667}, {13847, 52666}, {14458, 60628}, {14484, 60283}, {14492, 60648}, {14853, 55707}, {15072, 21969}, {15534, 29181}, {16192, 38076}, {16644, 42693}, {16645, 42692}, {16808, 43477}, {16809, 43478}, {16966, 43475}, {16967, 43476}, {17845, 54211}, {19053, 42263}, {19054, 42264}, {19106, 41119}, {19107, 41120}, {19569, 55177}, {20070, 28204}, {20423, 33748}, {20791, 58470}, {21356, 48881}, {22165, 50970}, {22235, 42973}, {22237, 42972}, {23259, 53131}, {23267, 52047}, {23273, 52048}, {25406, 51024}, {26446, 50813}, {28146, 61287}, {28150, 50811}, {28160, 50810}, {28174, 50818}, {28190, 50798}, {28194, 61296}, {28216, 50805}, {29012, 50967}, {29317, 54132}, {29323, 54173}, {30308, 50869}, {30392, 51075}, {31412, 42568}, {31670, 55712}, {31730, 53620}, {31884, 51022}, {32532, 54921}, {32819, 32874}, {33602, 43328}, {33603, 43329}, {33622, 44666}, {33624, 44667}, {33697, 46933}, {34718, 61246}, {35255, 43788}, {35256, 43787}, {35750, 41022}, {35822, 43512}, {35823, 43511}, {36318, 36326}, {36320, 36324}, {36331, 41023}, {36427, 52945}, {36768, 36961}, {36967, 41112}, {36968, 41113}, {36969, 49874}, {36970, 49873}, {36990, 50991}, {37640, 42097}, {37641, 42096}, {37665, 43618}, {37832, 42543}, {37835, 42544}, {38064, 48904}, {38314, 41869}, {38749, 41135}, {40330, 48920}, {41100, 42085}, {41101, 42086}, {41107, 42099}, {41108, 42100}, {41121, 42134}, {41122, 42133}, {41895, 54644}, {41945, 42522}, {41946, 42523}, {42087, 42982}, {42088, 42983}, {42090, 43403}, {42091, 43404}, {42101, 43003}, {42102, 43002}, {42104, 42528}, {42105, 42529}, {42108, 42515}, {42109, 42514}, {42111, 43400}, {42114, 43399}, {42117, 43481}, {42118, 43482}, {42119, 42588}, {42120, 42589}, {42121, 43474}, {42124, 43473}, {42130, 43108}, {42131, 43109}, {42136, 43543}, {42137, 43542}, {42140, 42943}, {42141, 42942}, {42147, 42587}, {42148, 42586}, {42150, 42532}, {42151, 42533}, {42413, 42418}, {42414, 42417}, {42472, 42500}, {42473, 42501}, {42478, 43305}, {42479, 43304}, {42561, 42569}, {42584, 42975}, {42585, 42974}, {42602, 51911}, {42603, 51910}, {42813, 43479}, {42814, 43480}, {42940, 49906}, {42941, 49905}, {42980, 43013}, {42981, 43012}, {42998, 43009}, {42999, 43008}, {43101, 51944}, {43104, 51945}, {43195, 43544}, {43196, 43545}, {43211, 60307}, {43212, 60308}, {43273, 51211}, {43548, 54581}, {43549, 54580}, {43621, 51171}, {44678, 53142}, {44882, 51185}, {47353, 50994}, {48661, 61281}, {48879, 55598}, {48898, 55709}, {48910, 59373}, {49952, 50858}, {49953, 50855}, {50802, 54445}, {50808, 50863}, {50816, 50866}, {50819, 51709}, {50821, 61257}, {50867, 59420}, {50956, 55649}, {50965, 50993}, {50971, 51029}, {50972, 51167}, {50977, 55621}, {51079, 58221}, {51083, 58441}, {51091, 61289}, {51095, 51120}, {51108, 51118}, {51130, 55703}, {51134, 55673}, {51213, 59411}, {51538, 51737}, {53101, 54645}, {53108, 54642}, {54519, 60277}, {54520, 60238}, {54866, 60626}, {54934, 60200}, {60147, 60641}, {60150, 60635}, {60335, 60632}

X(62160) = midpoint of X(i) and X(j) for these {i,j}: {5059, 15683}
X(62160) = reflection of X(i) in X(j) for these {i,j}: {1992, 48905}, {11001, 15685}, {11179, 48896}, {11180, 48873}, {11541, 15684}, {15640, 2}, {15682, 3534}, {15683, 3529}, {15684, 550}, {19569, 55177}, {2, 11001}, {20, 15683}, {376, 1657}, {381, 15704}, {382, 15686}, {3146, 376}, {3543, 20}, {31145, 6361}, {4, 15681}, {5073, 549}, {5691, 34638}, {5921, 54170}, {51215, 54174}, {54170, 48872}, {8596, 9862}, {962, 34628}
X(62160) = inverse of X(61958) in orthocentroidal circle
X(62160) = inverse of X(61958) in Yff hyperbola
X(62160) = complement of X(62051)
X(62160) = anticomplement of X(15682)
X(62160) = pole of line {523, 61958} with respect to the orthocentroidal circle
X(62160) = pole of line {185, 61914} with respect to the Jerabek hyperbola
X(62160) = pole of line {6, 61958} with respect to the Kiepert hyperbola
X(62160) = pole of line {523, 61958} with respect to the Yff hyperbola
X(62160) = pole of line {69, 15697} with respect to the Wallace hyperbola
X(62160) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15697)}}, {{A, B, C, X(253), X(3830)}}, {{A, B, C, X(546), X(31361)}}, {{A, B, C, X(1217), X(12811)}}, {{A, B, C, X(1494), X(15640)}}, {{A, B, C, X(3545), X(16251)}}, {{A, B, C, X(4846), X(15699)}}, {{A, B, C, X(5054), X(18850)}}, {{A, B, C, X(5059), X(52441)}}, {{A, B, C, X(5073), X(18317)}}, {{A, B, C, X(5094), X(54522)}}, {{A, B, C, X(6353), X(54851)}}, {{A, B, C, X(8889), X(54734)}}, {{A, B, C, X(11331), X(60628)}}, {{A, B, C, X(15351), X(44576)}}, {{A, B, C, X(15712), X(60618)}}, {{A, B, C, X(17538), X(54667)}}, {{A, B, C, X(21735), X(60122)}}, {{A, B, C, X(33703), X(54512)}}, {{A, B, C, X(50691), X(54552)}}, {{A, B, C, X(52283), X(60216)}}, {{A, B, C, X(52289), X(60648)}}, {{A, B, C, X(52290), X(54644)}}, {{A, B, C, X(53857), X(54921)}}
X(62160) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15640, 3543}, {2, 15683, 11001}, {2, 15697, 10304}, {2, 15698, 15708}, {2, 15717, 11812}, {2, 30, 15640}, {2, 3146, 3830}, {2, 3522, 15698}, {2, 5066, 5056}, {2, 8703, 15692}, {4, 15710, 547}, {4, 5079, 3832}, {4, 631, 12811}, {5, 376, 15705}, {20, 10303, 550}, {20, 15640, 2}, {20, 3146, 3523}, {30, 15684, 11541}, {30, 15686, 382}, {30, 15704, 381}, {30, 3534, 15682}, {30, 376, 3146}, {30, 549, 5073}, {30, 550, 15684}, {381, 15708, 7486}, {382, 15686, 3524}, {382, 15695, 5066}, {546, 14093, 15709}, {547, 15696, 15710}, {548, 14269, 15702}, {550, 12101, 15693}, {550, 3856, 3}, {1503, 54174, 51215}, {1656, 5154, 10303}, {1657, 3146, 20}, {1657, 5054, 15681}, {3091, 10304, 15721}, {3522, 17532, 15706}, {3522, 17578, 12812}, {3523, 7486, 3525}, {3528, 15687, 11112}, {3529, 11001, 15685}, {3529, 17800, 5059}, {3530, 15690, 8703}, {3534, 3830, 12100}, {3543, 10304, 3091}, {3545, 15684, 17578}, {3627, 15688, 5071}, {3830, 15685, 1657}, {3830, 15695, 15703}, {3830, 5054, 3860}, {3845, 8703, 11540}, {3860, 8703, 5054}, {5054, 12100, 15719}, {5054, 15681, 12103}, {5054, 15703, 632}, {5054, 5070, 10124}, {5055, 15691, 3528}, {5059, 15683, 30}, {5066, 15686, 15695}, {5071, 15688, 15717}, {8703, 12101, 5070}, {10124, 17578, 3839}, {10653, 46335, 49876}, {10654, 46334, 49875}, {11001, 15640, 15697}, {11001, 15682, 3534}, {11001, 15685, 15683}, {11737, 15706, 3533}, {12100, 14893, 10109}, {12100, 15713, 15722}, {12101, 15693, 3545}, {14269, 15702, 5068}, {15682, 15719, 4}, {15684, 15693, 12101}, {15686, 15703, 376}, {15687, 15689, 631}, {15690, 15698, 3522}, {15692, 15708, 3530}, {19106, 42632, 41119}, {19107, 42631, 41120}, {41101, 42086, 49826}, {41957, 41958, 6}, {42119, 42588, 43228}, {42120, 42589, 43229}, {42263, 43209, 19053}, {42264, 43210, 19054}

X(62161) = X(2)X(3)∩X(17)X(43201)

X(62161) lies on these lines: {2, 3}, {17, 43201}, {18, 43202}, {40, 50801}, {61, 42588}, {62, 42589}, {355, 50809}, {371, 43386}, {372, 43387}, {516, 34631}, {590, 43788}, {615, 43787}, {944, 51077}, {946, 50819}, {1151, 14241}, {1152, 14226}, {1285, 5355}, {1327, 42638}, {1328, 42637}, {1350, 50958}, {1351, 51176}, {1352, 50966}, {1587, 43210}, {1588, 43209}, {1992, 29317}, {3068, 6476}, {3069, 6477}, {3241, 28146}, {3488, 4114}, {3625, 6361}, {3633, 28194}, {3655, 28154}, {3679, 28172}, {4297, 51075}, {5237, 42515}, {5238, 42514}, {5334, 42899}, {5335, 42898}, {5351, 43026}, {5352, 43027}, {5365, 49906}, {5366, 49905}, {5480, 50975}, {5656, 50709}, {5657, 34638}, {5818, 50862}, {6144, 39874}, {6411, 43517}, {6412, 43518}, {6425, 42576}, {6426, 42577}, {6429, 42572}, {6430, 42573}, {6439, 23249}, {6440, 23259}, {6441, 42264}, {6442, 42263}, {6478, 35820}, {6479, 35821}, {6776, 51132}, {7581, 43257}, {7582, 43256}, {7750, 32878}, {7773, 32889}, {7788, 32875}, {7967, 28150}, {8227, 50869}, {9143, 34584}, {9540, 41952}, {9778, 38176}, {10385, 10483}, {10595, 50865}, {11645, 50961}, {12245, 28208}, {12571, 51079}, {13886, 53130}, {13935, 41951}, {13939, 53131}, {14927, 19924}, {16192, 50866}, {18844, 54523}, {19053, 42267}, {19054, 42266}, {19875, 50813}, {19883, 50820}, {19925, 50812}, {20049, 28212}, {20053, 28204}, {20423, 48896}, {21358, 50969}, {23253, 52045}, {23263, 52046}, {23267, 41945}, {23273, 41946}, {28158, 31162}, {28160, 34632}, {28164, 34627}, {28168, 59388}, {28186, 31145}, {28190, 34718}, {28198, 50818}, {28216, 34748}, {28232, 34747}, {29012, 54170}, {31423, 50816}, {31730, 38074}, {32455, 48905}, {32819, 32888}, {32822, 32877}, {32876, 59634}, {36836, 49874}, {36843, 49873}, {36967, 42141}, {36968, 42140}, {36969, 43004}, {36970, 43005}, {37640, 42099}, {37641, 42100}, {38064, 42785}, {40330, 51022}, {40693, 43491}, {40694, 43492}, {41119, 42434}, {41120, 42433}, {41943, 42090}, {41944, 42091}, {42085, 42429}, {42086, 42430}, {42107, 51944}, {42108, 43404}, {42109, 43403}, {42110, 51945}, {42115, 43541}, {42116, 43540}, {42119, 61719}, {42133, 42625}, {42134, 42626}, {42139, 42528}, {42142, 42529}, {42147, 49826}, {42148, 49827}, {42154, 43481}, {42155, 43482}, {42159, 42631}, {42160, 49812}, {42161, 49813}, {42162, 42632}, {42271, 43522}, {42272, 43521}, {42431, 42435}, {42432, 42436}, {42512, 42795}, {42513, 42796}, {42543, 43002}, {42544, 43003}, {42602, 43374}, {42603, 43375}, {42627, 42932}, {42628, 42933}, {42910, 54592}, {42911, 54591}, {42940, 43543}, {42941, 43542}, {42944, 43502}, {42945, 43501}, {42962, 43552}, {42963, 43553}, {43030, 43310}, {43031, 43311}, {43397, 51915}, {43398, 51916}, {43632, 43769}, {43633, 43770}, {43773, 49825}, {43774, 49824}, {43775, 46335}, {43776, 46334}, {44882, 51130}, {47745, 50810}, {48310, 50976}, {48872, 50967}, {48873, 51023}, {48879, 54173}, {48889, 51217}, {48898, 51177}, {48920, 51537}, {48942, 50956}, {49038, 49092}, {49039, 49093}, {50964, 55674}, {50994, 55606}, {51135, 55711}, {51167, 55651}, {51179, 61044}, {51215, 55584}, {54857, 60627}, {54890, 60616}, {60143, 60325}, {60301, 60303}, {60302, 60304}, {60326, 60629}

X(62161) = reflection of X(i) in X(j) for these {i,j}: {11001, 3529}, {11541, 15682}, {15640, 3}, {15682, 20}, {15684, 15686}, {2, 1657}, {20, 15685}, {20423, 48896}, {376, 15683}, {3146, 3534}, {3543, 15681}, {3830, 15704}, {4, 11001}, {5073, 8703}, {50967, 48872}, {50974, 14927}, {51023, 48873}, {51179, 61044}, {51215, 55584}, {54132, 48905}, {54173, 48879}
X(62161) = inverse of X(61959) in orthocentroidal circle
X(62161) = inverse of X(61959) in Yff hyperbola
X(62161) = anticomplement of X(15684)
X(62161) = pole of line {523, 61959} with respect to the orthocentroidal circle
X(62161) = pole of line {6, 51133} with respect to the Kiepert hyperbola
X(62161) = pole of line {523, 61959} with respect to the Yff hyperbola
X(62161) = pole of line {69, 15689} with respect to the Wallace hyperbola
X(62161) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15689)}}, {{A, B, C, X(1294), X(15640)}}, {{A, B, C, X(1494), X(33703)}}, {{A, B, C, X(4846), X(15703)}}, {{A, B, C, X(14843), X(58203)}}, {{A, B, C, X(14890), X(36948)}}, {{A, B, C, X(14893), X(36889)}}, {{A, B, C, X(15319), X(50688)}}, {{A, B, C, X(15702), X(18850)}}, {{A, B, C, X(15740), X(55863)}}, {{A, B, C, X(18849), X(61138)}}, {{A, B, C, X(21734), X(60122)}}, {{A, B, C, X(37984), X(60740)}}, {{A, B, C, X(52301), X(60325)}}
X(62161) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10304, 15712}, {2, 12108, 15709}, {2, 14892, 3090}, {2, 15686, 376}, {2, 15706, 631}, {2, 17683, 8367}, {2, 3523, 14890}, {2, 3839, 5072}, {3, 30, 15640}, {3, 3857, 16418}, {4, 376, 15702}, {5, 15697, 15710}, {5, 3529, 13635}, {20, 11541, 4}, {20, 3146, 140}, {30, 15682, 11541}, {30, 15686, 15684}, {30, 15704, 3830}, {30, 3534, 3146}, {30, 8703, 5073}, {140, 15687, 381}, {140, 3627, 3843}, {376, 15686, 17538}, {376, 3529, 15683}, {381, 15681, 15691}, {381, 15694, 10109}, {381, 15700, 5070}, {381, 15701, 547}, {381, 547, 5068}, {381, 8703, 15721}, {546, 15695, 15708}, {550, 3839, 15698}, {550, 3859, 3}, {1657, 14093, 15681}, {3091, 15688, 15719}, {3146, 15692, 15687}, {3524, 3525, 15701}, {3525, 3529, 6968}, {3534, 15687, 15692}, {3534, 3545, 3528}, {3534, 3857, 10304}, {3543, 17678, 14269}, {3627, 8703, 14892}, {3830, 15706, 3850}, {3839, 15698, 5067}, {3845, 15709, 3544}, {3860, 15707, 7486}, {5059, 17800, 3529}, {5066, 15696, 15705}, {5066, 15705, 3533}, {5079, 15723, 15703}, {6429, 42641, 42572}, {6430, 42642, 42573}, {11001, 11541, 3524}, {11541, 17538, 3627}, {12101, 15640, 15682}, {12103, 17578, 10299}, {14093, 14893, 2}, {14093, 15681, 15686}, {14093, 15684, 14893}, {14093, 15723, 15706}, {14269, 15690, 3523}, {14891, 15686, 15689}, {14893, 15684, 3543}, {14893, 15686, 14093}, {14893, 15691, 14891}, {14893, 17538, 15715}, {14927, 19924, 50974}, {15681, 15691, 20}, {15681, 15703, 3534}, {15682, 15685, 11001}, {15682, 15691, 5071}, {15685, 15689, 1657}, {15687, 15692, 3545}, {43403, 52079, 43493}, {43404, 52080, 43494}, {48898, 59373, 51177}

X(62162) = X(2)X(3)∩X(40)X(61253)

X(62162) lies on these lines: {2, 3}, {40, 61253}, {61, 42145}, {62, 42144}, {141, 55623}, {485, 10147}, {486, 10148}, {1151, 43791}, {1152, 43792}, {1353, 29317}, {1483, 28146}, {1503, 55583}, {3592, 42276}, {3594, 42275}, {3818, 55628}, {4297, 58232}, {5237, 42108}, {5238, 42109}, {5351, 42135}, {5352, 42138}, {5480, 55698}, {5493, 50823}, {5690, 28172}, {6361, 61245}, {6419, 42226}, {6420, 42225}, {6425, 43321}, {6426, 43320}, {6427, 43408}, {6428, 43407}, {6453, 42272}, {6454, 42271}, {6488, 23251}, {6489, 23261}, {6519, 23249}, {6522, 23259}, {7967, 58236}, {7982, 28178}, {7991, 28186}, {8227, 58225}, {8981, 53517}, {9680, 42639}, {10222, 28150}, {10386, 10483}, {10645, 42957}, {10646, 42956}, {11439, 44324}, {12699, 61280}, {13464, 51080}, {13966, 53520}, {14641, 16625}, {14927, 55724}, {15039, 61598}, {15044, 38788}, {16189, 28182}, {16772, 42997}, {16773, 42996}, {16964, 43233}, {16965, 43232}, {17852, 42261}, {18358, 55626}, {18481, 61281}, {18907, 41940}, {19116, 42267}, {19117, 42266}, {20190, 51163}, {21850, 22234}, {22236, 42113}, {22238, 42112}, {22330, 48906}, {22791, 28158}, {28154, 34773}, {28168, 59400}, {28174, 58245}, {28190, 61246}, {28194, 61297}, {28202, 51082}, {28216, 61295}, {29012, 55588}, {29181, 55721}, {29323, 48874}, {30389, 40273}, {31399, 50826}, {31666, 38034}, {31730, 38138}, {32137, 36987}, {34507, 50970}, {34584, 38632}, {34785, 50709}, {36836, 42137}, {36843, 42136}, {38110, 48891}, {38112, 61256}, {38136, 55687}, {39884, 55606}, {40247, 54042}, {41869, 61277}, {42099, 42165}, {42100, 42164}, {42101, 43295}, {42102, 43294}, {42103, 42591}, {42106, 42590}, {42107, 43293}, {42110, 43292}, {42121, 42531}, {42122, 42161}, {42123, 42160}, {42124, 42530}, {42147, 42430}, {42148, 42429}, {42433, 43402}, {42434, 43401}, {42557, 51910}, {42558, 51911}, {42633, 43194}, {42634, 43193}, {42641, 43526}, {42642, 43525}, {42924, 43304}, {42925, 43305}, {42944, 43373}, {42945, 43372}, {42974, 43634}, {42975, 43635}, {43244, 43486}, {43245, 43485}, {43422, 49860}, {43423, 49859}, {43621, 53093}, {43789, 43879}, {43790, 43880}, {44882, 55704}, {46264, 53858}, {48661, 61283}, {48876, 48879}, {48880, 55611}, {48881, 55617}, {48898, 55708}, {48901, 55694}, {50414, 51491}, {51538, 55701}, {55602, 61545}, {61257, 61524}

X(62162) = midpoint of X(i) and X(j) for these {i,j}: {5059, 17800}
X(62162) = reflection of X(i) in X(j) for these {i,j}: {15686, 15685}, {15687, 11001}, {15704, 3529}, {21850, 48896}, {3146, 12103}, {3627, 15704}, {48876, 48879}, {5, 1657}, {5073, 548}, {61245, 6361}, {8703, 15683}
X(62162) = complement of X(49133)
X(62162) = anticomplement of X(62038)
X(62162) = pole of line {185, 12812} with respect to the Jerabek hyperbola
X(62162) = pole of line {69, 55613} with respect to the Wallace hyperbola
X(62162) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1105), X(12812)}}, {{A, B, C, X(4846), X(46935)}}, {{A, B, C, X(15688), X(18848)}}, {{A, B, C, X(17800), X(52441)}}, {{A, B, C, X(32533), X(50691)}}, {{A, B, C, X(43970), X(58187)}}
X(62162) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 12812, 14869}, {3, 3146, 12102}, {3, 3544, 140}, {3, 3627, 3857}, {3, 4, 12812}, {3, 5076, 3544}, {4, 15688, 16239}, {4, 20, 15688}, {5, 14892, 6864}, {5, 15712, 10124}, {5, 8703, 3523}, {20, 1656, 15690}, {20, 3146, 3525}, {20, 5073, 10109}, {20, 549, 550}, {30, 11001, 15687}, {30, 12103, 3146}, {30, 15683, 8703}, {30, 15704, 3627}, {30, 548, 5073}, {140, 3839, 5}, {376, 3839, 15722}, {382, 15694, 4}, {382, 17538, 3628}, {382, 8703, 3858}, {546, 10109, 3091}, {546, 3628, 3545}, {548, 10109, 10299}, {632, 3627, 3845}, {1657, 12103, 15704}, {1657, 3146, 12103}, {3146, 3525, 3830}, {3146, 3529, 1657}, {3522, 15684, 3861}, {3522, 3861, 11539}, {3525, 3830, 546}, {3529, 17538, 15683}, {3534, 3853, 15712}, {3545, 3830, 14893}, {3850, 15696, 17504}, {3857, 6855, 6911}, {5059, 17800, 30}, {5073, 11001, 548}, {6928, 15684, 3843}, {6971, 17800, 15696}, {10124, 12100, 15708}, {10299, 11001, 20}, {10299, 13735, 5054}, {11539, 15716, 549}, {12102, 12103, 3}, {12103, 12108, 376}, {14869, 15699, 632}, {14869, 15704, 15686}, {15156, 15157, 18859}, {15682, 15696, 3850}, {42145, 43630, 42922}

X(62163) = X(2)X(3)∩X(61)X(42587)

X(62163) lies on these lines: {2, 3}, {61, 42587}, {62, 42586}, {516, 50805}, {599, 48879}, {623, 33619}, {624, 33618}, {1482, 51095}, {1503, 51175}, {3632, 28208}, {3633, 58246}, {3654, 28172}, {3656, 28158}, {4677, 28160}, {4745, 50797}, {5318, 49860}, {5321, 49859}, {5339, 42977}, {5340, 42976}, {6329, 43621}, {6449, 42608}, {6450, 42609}, {6455, 42606}, {6456, 42607}, {6468, 13665}, {6469, 13785}, {6470, 42266}, {6471, 42267}, {6560, 42417}, {6561, 42418}, {6564, 42526}, {6565, 42527}, {8584, 51172}, {9541, 42538}, {10172, 51083}, {10516, 55638}, {10653, 43105}, {10654, 43106}, {11178, 55625}, {11224, 28146}, {11230, 50820}, {11480, 12816}, {11481, 12817}, {11488, 42514}, {11489, 42515}, {11645, 40341}, {12702, 34641}, {12820, 16241}, {12821, 16242}, {13846, 43318}, {13847, 43319}, {13903, 43258}, {13925, 60305}, {13961, 43259}, {13993, 60306}, {14848, 48898}, {15516, 48896}, {15520, 43273}, {15533, 29012}, {15534, 55720}, {18487, 36431}, {18526, 28198}, {19106, 49905}, {19107, 49906}, {19924, 39899}, {20049, 58247}, {20583, 46264}, {22165, 48873}, {22793, 51110}, {28150, 51071}, {28154, 50811}, {28164, 50798}, {28168, 59503}, {28190, 50810}, {28202, 51093}, {28216, 50818}, {29181, 50962}, {29323, 55596}, {32063, 50709}, {32900, 58239}, {34628, 48661}, {34638, 38066}, {36836, 43546}, {36843, 43547}, {36967, 42506}, {36968, 42507}, {36990, 55608}, {38034, 50873}, {38042, 50813}, {38136, 51029}, {38138, 50863}, {38140, 50866}, {38317, 50976}, {39593, 44526}, {39884, 50994}, {41100, 42131}, {41101, 42130}, {41107, 42097}, {41108, 42096}, {41112, 42087}, {41113, 42088}, {41119, 42116}, {41120, 42115}, {41121, 42626}, {41122, 42625}, {41153, 55701}, {41947, 52046}, {41948, 52045}, {41961, 53130}, {41962, 53131}, {41977, 42153}, {41978, 42156}, {42099, 42532}, {42100, 42533}, {42108, 42792}, {42109, 42791}, {42112, 42510}, {42113, 42511}, {42117, 49875}, {42118, 49876}, {42122, 49813}, {42123, 49812}, {42126, 43419}, {42127, 43418}, {42129, 43196}, {42132, 43195}, {42136, 49873}, {42137, 49874}, {42144, 42589}, {42145, 42588}, {42154, 42508}, {42155, 42509}, {42225, 43256}, {42226, 43257}, {42270, 43563}, {42273, 43562}, {42275, 43209}, {42276, 43210}, {42431, 42635}, {42432, 42636}, {42502, 42817}, {42503, 42818}, {42504, 42529}, {42505, 42528}, {42572, 43526}, {42573, 43525}, {42631, 43230}, {42632, 43231}, {42779, 43194}, {42780, 43193}, {42888, 43543}, {42889, 43542}, {42938, 42972}, {42939, 42973}, {42962, 49907}, {42963, 49908}, {43028, 43400}, {43029, 43399}, {43108, 43111}, {43109, 43110}, {43485, 43632}, {43486, 43633}, {43523, 53513}, {43524, 53516}, {47102, 53143}, {47352, 48891}, {48662, 54170}, {48872, 55590}, {48884, 55634}, {48904, 55690}, {48905, 55716}, {48910, 55710}, {48920, 55635}, {50806, 51108}, {50819, 58230}, {50954, 50991}, {50959, 55682}, {50975, 55697}, {50989, 52987}, {50992, 55584}, {51023, 55593}, {51086, 61266}, {51173, 51737}, {51177, 59399}, {51185, 55706}, {51186, 55630}, {53023, 55686}, {55693, 59411}

X(62163) = reflection of X(i) in X(j) for these {i,j}: {15640, 8703}, {15681, 3529}, {15684, 20}, {3, 15683}, {381, 1657}, {382, 15681}, {3146, 15686}, {3534, 15685}, {3543, 15704}, {3830, 11001}, {48661, 34628}, {48662, 54170}, {5073, 376}, {599, 48879}, {54131, 48896}, {58247, 20049}
X(62163) = inverse of X(61960) in orthocentroidal circle
X(62163) = inverse of X(61960) in Yff hyperbola
X(62163) = complement of X(62052)
X(62163) = anticomplement of X(62039)
X(62163) = pole of line {523, 61960} with respect to the orthocentroidal circle
X(62163) = pole of line {6, 61960} with respect to the Kiepert hyperbola
X(62163) = pole of line {523, 61960} with respect to the Yff hyperbola
X(62163) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3856), X(54585)}}, {{A, B, C, X(3860), X(18550)}}, {{A, B, C, X(18317), X(33703)}}, {{A, B, C, X(49136), X(54512)}}
X(62163) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15681, 3534}, {2, 15682, 15687}, {2, 17504, 15701}, {2, 3528, 12100}, {2, 3534, 15688}, {2, 3845, 3851}, {3, 3861, 1656}, {3, 5055, 15721}, {3, 5073, 17578}, {20, 15684, 5054}, {20, 30, 15684}, {20, 3146, 3533}, {20, 3845, 15695}, {30, 11001, 3830}, {30, 15681, 382}, {30, 15683, 3}, {30, 15686, 3146}, {30, 15704, 3543}, {30, 1657, 381}, {30, 376, 5073}, {30, 8703, 15640}, {376, 17578, 15699}, {376, 546, 15707}, {381, 15688, 15720}, {381, 15696, 15706}, {382, 15700, 14269}, {382, 3851, 5076}, {550, 11737, 15710}, {3146, 15686, 5055}, {3526, 15693, 11812}, {3534, 14093, 15690}, {3534, 15685, 1657}, {3534, 15716, 376}, {3543, 15704, 15689}, {3543, 15709, 3861}, {3843, 15722, 10109}, {5079, 15688, 15700}, {10109, 10304, 15722}, {10109, 14869, 2}, {10109, 15722, 15723}, {11001, 15640, 8703}, {11001, 15682, 15697}, {11001, 15698, 20}, {11812, 15716, 15693}, {14269, 15681, 550}, {14269, 15700, 5079}, {15677, 15710, 15712}, {15682, 15697, 5066}, {15682, 15721, 12101}, {15683, 15687, 15681}, {15683, 15697, 11001}, {15683, 15709, 15704}, {15684, 15695, 3845}, {15687, 15699, 546}, {15690, 15701, 14093}

X(62164) = X(2)X(3)∩X(141)X(55621)

X(62164) lies on these lines: {2, 3}, {141, 55621}, {397, 42430}, {398, 42429}, {516, 61295}, {1151, 43434}, {1152, 43435}, {1483, 9589}, {1503, 55581}, {1587, 6494}, {1588, 6495}, {3244, 28146}, {3411, 42088}, {3412, 42087}, {3625, 28160}, {3626, 28172}, {3629, 29317}, {3630, 29012}, {3631, 48874}, {3632, 28186}, {3633, 28174}, {4301, 28154}, {4668, 61249}, {5237, 43230}, {5238, 43231}, {5318, 42939}, {5321, 42938}, {5334, 43635}, {5335, 43634}, {5480, 55700}, {5881, 28190}, {6329, 48898}, {6435, 42226}, {6436, 42225}, {6453, 43786}, {6454, 43785}, {6480, 43340}, {6481, 43341}, {6498, 42413}, {6499, 42414}, {9657, 10386}, {10645, 43873}, {10646, 43874}, {11362, 28168}, {12161, 33534}, {12818, 18538}, {12819, 18762}, {13202, 22251}, {14531, 45957}, {15048, 34571}, {16881, 52093}, {19116, 42275}, {19117, 42276}, {20050, 28212}, {20057, 48661}, {21850, 55713}, {22793, 61273}, {24981, 34584}, {28158, 34773}, {28178, 37727}, {29181, 55723}, {29323, 55592}, {31425, 61259}, {31487, 42643}, {32455, 55717}, {34628, 61282}, {35242, 61260}, {38136, 48891}, {39884, 48879}, {40107, 55609}, {40693, 42585}, {40694, 42584}, {41100, 42613}, {41101, 42612}, {41869, 61278}, {42096, 43326}, {42097, 43327}, {42099, 42435}, {42100, 42436}, {42108, 42433}, {42109, 42434}, {42111, 43871}, {42112, 43193}, {42113, 43194}, {42114, 43872}, {42117, 43106}, {42118, 43105}, {42121, 42928}, {42124, 42929}, {42130, 42922}, {42131, 42923}, {42144, 42148}, {42145, 42147}, {42164, 42634}, {42165, 42633}, {42488, 43471}, {42489, 43472}, {42528, 42946}, {42529, 42947}, {42543, 42592}, {42544, 42593}, {42801, 42943}, {42802, 42942}, {42815, 43487}, {42816, 43488}, {42888, 42917}, {42889, 42916}, {42940, 43547}, {42941, 43546}, {42966, 43485}, {42967, 43486}, {43418, 43491}, {43419, 43492}, {43446, 43478}, {43447, 43477}, {43570, 53130}, {43571, 53131}, {43621, 59399}, {44871, 55166}, {44882, 55702}, {48876, 55599}, {48880, 55613}, {48881, 55619}, {48896, 55712}, {48906, 55714}, {50981, 55641}, {51022, 55631}

X(62164) = reflection of X(i) in X(j) for these {i,j}: {15640, 15691}, {3627, 1657}, {3845, 15683}, {39884, 48879}, {549, 15685}, {550, 3529}, {5073, 12103}
X(62164) = complement of X(62053)
X(62164) = pole of line {185, 10109} with respect to the Jerabek hyperbola
X(62164) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1105), X(10109)}}, {{A, B, C, X(1657), X(57823)}}, {{A, B, C, X(3521), X(11737)}}
X(62164) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15688, 14891}, {2, 15712, 14869}, {2, 17682, 377}, {2, 3529, 1657}, {2, 3851, 12812}, {2, 5187, 17675}, {3, 4, 10109}, {5, 15713, 5070}, {5, 382, 15687}, {20, 3146, 5067}, {20, 382, 3530}, {20, 3843, 548}, {20, 5067, 15696}, {30, 12103, 5073}, {30, 15683, 3845}, {30, 15685, 549}, {30, 15691, 15640}, {30, 1657, 3627}, {382, 14269, 17578}, {382, 15681, 3528}, {382, 15696, 3851}, {382, 17800, 3529}, {382, 3528, 546}, {382, 3855, 3853}, {382, 550, 5}, {546, 550, 17504}, {550, 14869, 8703}, {550, 3544, 15714}, {1657, 15684, 17538}, {1657, 15686, 15704}, {1657, 3843, 20}, {3146, 15696, 3861}, {3411, 42545, 42630}, {3412, 42546, 42629}, {3522, 12102, 15699}, {3530, 3853, 3855}, {3627, 15686, 15712}, {3830, 15717, 3859}, {3856, 14893, 3843}, {5073, 15683, 12103}, {6911, 15714, 140}, {6961, 15696, 376}, {10299, 11737, 632}, {11539, 15712, 12108}, {12103, 15688, 550}, {14093, 14269, 2}, {15684, 17538, 3850}, {15704, 15712, 15686}

X(62165) = X(2)X(3)∩X(40)X(51070)

X(62165) lies on these lines: {2, 3}, {40, 51070}, {98, 41147}, {397, 42587}, {398, 42586}, {516, 50818}, {944, 51091}, {1327, 42525}, {1328, 42524}, {1350, 41152}, {1503, 51179}, {3068, 43521}, {3069, 43522}, {3070, 42576}, {3071, 42577}, {3817, 50820}, {4297, 41150}, {4677, 6361}, {5093, 51211}, {5485, 47102}, {5587, 50813}, {5603, 51085}, {5790, 50863}, {5886, 50873}, {6200, 43568}, {6396, 43569}, {6482, 43570}, {6483, 43571}, {6560, 43797}, {6561, 43798}, {6564, 43788}, {6565, 43787}, {6776, 41149}, {7750, 32892}, {7967, 28154}, {8584, 48905}, {10175, 50866}, {10516, 50969}, {10722, 36521}, {11180, 48872}, {11488, 42632}, {11489, 42631}, {11645, 50992}, {13607, 34628}, {13846, 41954}, {13847, 41953}, {14226, 43792}, {14241, 43791}, {14458, 60637}, {14561, 51029}, {14853, 51138}, {16191, 28150}, {16966, 54480}, {16967, 54479}, {18581, 42796}, {18582, 42795}, {18842, 54643}, {19053, 42275}, {19054, 42276}, {19106, 43542}, {19107, 43543}, {19924, 39874}, {21356, 48880}, {21849, 61136}, {23253, 41967}, {23263, 41968}, {23267, 43337}, {23269, 35815}, {23273, 43336}, {23275, 35814}, {28146, 51087}, {28158, 50811}, {28164, 50810}, {28168, 50864}, {28172, 50827}, {28178, 50872}, {28186, 50830}, {28202, 34631}, {29181, 50974}, {29317, 51140}, {29323, 51023}, {31162, 51104}, {31730, 51066}, {32532, 60175}, {32785, 43503}, {32786, 43504}, {33602, 33607}, {33603, 33606}, {33604, 43416}, {33605, 43417}, {33610, 33613}, {33611, 33612}, {33750, 50959}, {34638, 38074}, {35812, 42608}, {35813, 42609}, {35820, 43342}, {35821, 43343}, {36836, 42502}, {36843, 42503}, {36967, 49813}, {36968, 49812}, {37640, 42113}, {37641, 42112}, {38747, 41148}, {38749, 41151}, {41100, 42589}, {41101, 42588}, {41107, 41971}, {41108, 41972}, {41112, 42141}, {41113, 42140}, {41119, 42514}, {41120, 42515}, {41121, 42090}, {41122, 42091}, {41153, 44882}, {41869, 51103}, {41943, 43201}, {41944, 43202}, {41969, 42272}, {41970, 42271}, {42085, 43481}, {42086, 43482}, {42096, 43229}, {42097, 43228}, {42099, 42511}, {42100, 42510}, {42104, 49908}, {42105, 49907}, {42117, 42420}, {42118, 42419}, {42125, 43494}, {42128, 43493}, {42133, 42685}, {42134, 42684}, {42135, 43555}, {42138, 43554}, {42139, 43545}, {42142, 43544}, {42143, 43478}, {42144, 43109}, {42145, 43108}, {42146, 43477}, {42150, 42965}, {42151, 42964}, {42154, 49875}, {42155, 49876}, {42160, 42507}, {42161, 42506}, {42263, 43256}, {42264, 43257}, {42417, 43408}, {42418, 43407}, {42431, 42532}, {42432, 42533}, {42504, 42695}, {42505, 42694}, {42516, 43645}, {42517, 43646}, {42528, 43464}, {42529, 43463}, {42543, 42955}, {42544, 42954}, {42690, 43541}, {42691, 43540}, {42791, 43403}, {42792, 43404}, {42914, 43369}, {42915, 43368}, {42934, 43770}, {42935, 43769}, {42940, 49873}, {42941, 49874}, {42942, 42986}, {42943, 42987}, {43150, 50990}, {43380, 43789}, {43381, 43790}, {43382, 43387}, {43383, 43386}, {43401, 49905}, {43402, 49906}, {43483, 43501}, {43484, 43502}, {43621, 59373}, {47353, 50966}, {48879, 50994}, {48881, 50993}, {50809, 51067}, {50874, 58221}, {50960, 55654}, {50982, 51189}, {50985, 54174}, {51164, 55673}, {51176, 54132}, {53104, 54647}, {54477, 60643}, {54521, 60284}, {54582, 60646}, {54612, 60200}, {54637, 54866}, {54639, 54707}, {54852, 60641}, {60127, 60282}, {60150, 60228}, {60185, 60632}, {60192, 60281}, {60299, 60301}, {60300, 60302}

X(62165) = reflection of X(i) in X(j) for these {i,j}: {11180, 48872}, {11541, 3543}, {15640, 3534}, {15682, 11001}, {15683, 17800}, {15684, 15704}, {2, 15685}, {376, 3529}, {3146, 15681}, {3543, 1657}, {4, 15683}, {5073, 15686}
X(62165) = anticomplement of X(62040)
X(62165) = pole of line {69, 15690} with respect to the Wallace hyperbola
X(62165) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(15690)}}, {{A, B, C, X(265), X(35400)}}, {{A, B, C, X(550), X(54667)}}, {{A, B, C, X(3534), X(18847)}}, {{A, B, C, X(3628), X(18851)}}, {{A, B, C, X(3851), X(54838)}}, {{A, B, C, X(4232), X(54608)}}, {{A, B, C, X(11331), X(60637)}}, {{A, B, C, X(13623), X(15701)}}, {{A, B, C, X(15709), X(18850)}}, {{A, B, C, X(15717), X(18849)}}, {{A, B, C, X(15720), X(54660)}}, {{A, B, C, X(18317), X(49136)}}, {{A, B, C, X(35018), X(54763)}}, {{A, B, C, X(49135), X(54512)}}, {{A, B, C, X(52284), X(54643)}}, {{A, B, C, X(53857), X(60175)}}
X(62165) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15685, 11001}, {2, 20, 15690}, {4, 17538, 15717}, {4, 17800, 3529}, {4, 3528, 3628}, {4, 376, 15709}, {20, 13735, 15696}, {20, 3146, 1656}, {20, 3543, 15705}, {30, 11001, 15682}, {30, 15681, 3146}, {30, 15686, 5073}, {30, 15704, 15684}, {30, 1657, 3543}, {30, 17800, 15683}, {30, 3534, 15640}, {30, 3543, 11541}, {376, 3533, 15710}, {376, 3545, 10299}, {381, 15710, 3533}, {546, 1657, 20}, {546, 549, 5055}, {549, 15759, 15716}, {631, 3529, 1657}, {1656, 3830, 3845}, {1657, 11541, 631}, {3091, 15689, 15715}, {3146, 15681, 3524}, {3534, 15684, 5066}, {3534, 5055, 8703}, {3543, 15705, 546}, {3545, 15682, 3830}, {3830, 12100, 3854}, {3830, 15688, 10109}, {3839, 15686, 3528}, {3845, 15681, 15697}, {3845, 8703, 10124}, {3854, 5071, 3545}, {5073, 15686, 3839}, {7486, 15706, 15702}, {10299, 15709, 549}, {10304, 15683, 15704}, {10304, 15684, 4}, {11001, 15640, 15698}, {11001, 15682, 376}, {12101, 15695, 2}, {14893, 15696, 15708}, {14893, 15708, 3544}, {15640, 15683, 3534}, {15640, 15695, 6848}, {15682, 15697, 3855}, {15683, 15759, 6949}, {15684, 15704, 10304}, {15698, 15709, 15719}, {36969, 49862, 33602}, {36970, 49861, 33603}, {52666, 53131, 14226}, {52667, 53130, 14241}

X(62166) = X(2)X(3)∩X(145)X(28202)

X(62166) lies on these lines: {2, 3}, {145, 28202}, {516, 34747}, {1131, 43515}, {1132, 43516}, {3068, 6490}, {3069, 6491}, {3070, 42538}, {3071, 42537}, {3241, 28150}, {3620, 48879}, {5032, 51211}, {5480, 51213}, {5691, 38098}, {7585, 43322}, {7586, 43323}, {7987, 50869}, {7989, 50816}, {8981, 60305}, {9541, 42542}, {9542, 52667}, {9589, 51094}, {9740, 53143}, {10248, 50828}, {10645, 12820}, {10646, 12821}, {11160, 29012}, {11180, 29323}, {11645, 51215}, {12571, 50874}, {13966, 60306}, {14927, 51028}, {16241, 43364}, {16242, 43365}, {16772, 43201}, {16773, 43202}, {18581, 42933}, {18582, 42932}, {19925, 50867}, {20049, 28174}, {20050, 28194}, {20054, 28204}, {20070, 28208}, {21356, 51216}, {21849, 52093}, {22235, 42939}, {22237, 42938}, {22793, 50819}, {25055, 50873}, {28158, 34628}, {28160, 31145}, {28164, 34632}, {28168, 34627}, {28172, 59417}, {28178, 34631}, {33748, 54131}, {33751, 50964}, {34638, 59387}, {35021, 41135}, {37832, 43477}, {37835, 43478}, {39884, 50966}, {40341, 54174}, {41943, 42134}, {41944, 42133}, {42096, 43242}, {42097, 43243}, {42099, 42982}, {42100, 42983}, {42112, 42429}, {42113, 42430}, {42119, 42587}, {42120, 42586}, {42140, 42782}, {42141, 42781}, {42144, 43110}, {42145, 43111}, {42147, 42588}, {42148, 42589}, {42150, 42635}, {42151, 42636}, {42154, 43106}, {42155, 43105}, {42157, 49826}, {42158, 49827}, {42271, 42642}, {42272, 42641}, {42514, 49905}, {42515, 49906}, {42572, 43339}, {42573, 43338}, {42775, 43107}, {42776, 43100}, {42998, 46335}, {42999, 46334}, {43465, 61719}, {43503, 51911}, {43504, 51910}, {43546, 49874}, {43547, 49873}, {43632, 49876}, {43633, 49875}, {47352, 51029}, {48872, 51023}, {48901, 50975}, {48920, 50969}, {50863, 53620}, {51026, 53094}, {51129, 55671}

X(62166) = reflection of X(i) in X(j) for these {i,j}: {11001, 17800}, {11541, 3830}, {15640, 20}, {15682, 1657}, {2, 3529}, {3146, 11001}, {3543, 15683}, {4, 15685}, {51023, 48872}, {51028, 14927}, {51215, 61044}
X(62166) = anticomplement of X(62042)
X(62166) = pole of line {69, 50968} with respect to the Wallace hyperbola
X(62166) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1494), X(49135)}}, {{A, B, C, X(5071), X(16251)}}, {{A, B, C, X(10304), X(57894)}}, {{A, B, C, X(15694), X(18850)}}, {{A, B, C, X(18317), X(35400)}}, {{A, B, C, X(31363), X(44904)}}
X(62166) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 14269, 3091}, {2, 15683, 15681}, {2, 15700, 15721}, {2, 15705, 15720}, {2, 15710, 3523}, {2, 3522, 17504}, {2, 550, 10304}, {4, 12812, 3832}, {4, 376, 15694}, {20, 15640, 3839}, {20, 15708, 15697}, {20, 30, 15640}, {20, 3146, 5056}, {20, 3543, 15692}, {30, 11001, 3146}, {30, 15685, 4}, {30, 1657, 15682}, {30, 3529, 2}, {30, 3830, 11541}, {376, 5071, 14891}, {381, 11539, 5071}, {381, 15681, 550}, {381, 15695, 549}, {382, 550, 3544}, {546, 3534, 15710}, {550, 17800, 3529}, {3091, 3523, 5070}, {3146, 5059, 17800}, {3528, 15682, 14269}, {3528, 3529, 1657}, {3529, 15681, 15683}, {3543, 10304, 381}, {3543, 15686, 15708}, {3830, 15691, 15702}, {3830, 17504, 3855}, {3832, 6175, 11737}, {3845, 15705, 7486}, {3845, 17538, 15705}, {10304, 11001, 20}, {11001, 15682, 15695}, {11645, 61044, 51215}, {11737, 15686, 15688}, {12100, 14869, 15707}, {12100, 15685, 11001}, {12101, 15696, 15709}, {12101, 15709, 3854}, {15640, 15692, 3543}, {15681, 15684, 15700}, {15681, 15687, 376}, {15681, 15688, 15686}, {15684, 15700, 15687}, {15691, 15702, 3522}, {15700, 15714, 15715}

X(62167) = X(2)X(3)∩X(1327)X(6445)

X(62167) lies on these lines: {2, 3}, {623, 33621}, {624, 33620}, {1327, 6445}, {1328, 6446}, {3633, 28198}, {3654, 50868}, {4669, 28172}, {6144, 19924}, {6199, 43210}, {6395, 43209}, {6417, 42417}, {6418, 42418}, {6433, 45384}, {6434, 45385}, {6474, 23269}, {6475, 23275}, {6500, 42413}, {6501, 42414}, {9690, 52667}, {9778, 50797}, {9880, 38634}, {10137, 42260}, {10138, 42261}, {10247, 28158}, {11178, 55622}, {11231, 50866}, {11485, 42430}, {11486, 42429}, {11531, 28202}, {11645, 55582}, {12816, 42626}, {12817, 42625}, {15300, 38744}, {15533, 48662}, {15534, 29317}, {16200, 28154}, {16644, 42929}, {16645, 42928}, {16964, 42586}, {16965, 42587}, {19106, 49903}, {19107, 49904}, {19883, 58224}, {20014, 58250}, {21358, 55636}, {22165, 55593}, {22236, 43491}, {22238, 43492}, {23251, 42525}, {23261, 42524}, {25561, 55642}, {28146, 51093}, {28150, 51120}, {28160, 50871}, {28164, 51515}, {28168, 50798}, {28178, 50805}, {29012, 51027}, {29323, 50955}, {31662, 51110}, {33179, 34628}, {34747, 58244}, {35814, 42642}, {35815, 42641}, {35822, 42576}, {35823, 42577}, {36967, 42895}, {36968, 42894}, {38028, 50873}, {38072, 55688}, {38110, 51029}, {38112, 50863}, {39561, 51024}, {41100, 42096}, {41101, 42097}, {41119, 42109}, {41120, 42108}, {42093, 43200}, {42094, 43199}, {42099, 49947}, {42100, 49948}, {42122, 49825}, {42123, 49824}, {42125, 42792}, {42126, 42510}, {42127, 42511}, {42128, 42791}, {42130, 43228}, {42131, 43229}, {42136, 49861}, {42137, 49862}, {42144, 49827}, {42145, 49826}, {42154, 43244}, {42155, 43245}, {42433, 43551}, {42434, 43550}, {42518, 42691}, {42519, 42690}, {42532, 43194}, {42533, 43193}, {42588, 43108}, {42589, 43109}, {42639, 43507}, {42640, 43508}, {42890, 61719}, {42896, 43327}, {42897, 43326}, {42904, 42996}, {42905, 42997}, {42942, 49811}, {42943, 49810}, {42984, 43475}, {42985, 43476}, {43415, 52666}, {47353, 55603}, {47354, 55624}, {48661, 51071}, {48874, 50990}, {48879, 55607}, {48896, 55711}, {48898, 51185}, {50799, 59420}, {50963, 59411}, {50968, 55645}, {50993, 55618}, {51025, 54173}, {51087, 58241}, {51119, 51705}, {51165, 51737}, {51186, 55629}, {51188, 55580}

X(62167) = reflection of X(i) in X(j) for these {i,j}: {11541, 15687}, {15681, 17800}, {15684, 1657}, {381, 3529}, {382, 15683}, {3830, 15685}, {5073, 15681}
X(62167) = anticomplement of X(62043)
X(62167) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1294), X(35400)}}, {{A, B, C, X(18317), X(49135)}}, {{A, B, C, X(41991), X(54585)}}, {{A, B, C, X(49134), X(54512)}}
X(62167) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 11001, 15686}, {2, 15684, 3830}, {2, 15698, 12108}, {2, 17538, 8703}, {3, 14269, 547}, {3, 15685, 11001}, {3, 15703, 15708}, {3, 15723, 15707}, {3, 3545, 15694}, {3, 3853, 3851}, {3, 5059, 17800}, {30, 15681, 5073}, {30, 15683, 382}, {30, 15687, 11541}, {30, 1657, 15684}, {381, 11001, 6958}, {381, 12102, 14269}, {382, 15706, 14893}, {382, 1657, 17538}, {547, 3858, 3545}, {548, 3529, 1657}, {1657, 15684, 15689}, {1657, 5072, 20}, {3523, 17538, 548}, {3534, 15701, 15695}, {3543, 11001, 15690}, {3543, 15719, 3845}, {3830, 15689, 2}, {3830, 15695, 5055}, {3830, 17800, 15685}, {3845, 15690, 15719}, {5066, 15688, 15722}, {5066, 15722, 5070}, {6979, 15697, 15692}, {11001, 15640, 11812}, {12101, 15697, 5054}, {12101, 15704, 15697}, {12102, 15709, 381}, {14893, 17538, 15706}, {15681, 15684, 15718}, {15681, 15701, 3534}, {15683, 15694, 15681}, {15684, 15689, 3843}, {15688, 15702, 3}, {15707, 15713, 15701}, {15709, 15715, 3523}

X(62168) = X(2)X(3)∩X(621)X(33608)

X(62168) lies on these lines: {2, 3}, {621, 33608}, {622, 33609}, {1994, 33534}, {3576, 50873}, {3621, 28208}, {4677, 28164}, {4745, 9778}, {5032, 48905}, {5085, 51029}, {5334, 42429}, {5335, 42430}, {5343, 49810}, {5344, 49811}, {5476, 51213}, {5657, 50863}, {5691, 51068}, {6221, 43521}, {6398, 43522}, {6433, 43380}, {6434, 43381}, {6439, 51850}, {6440, 51849}, {7585, 43210}, {7586, 43209}, {7802, 32869}, {7988, 51079}, {9542, 14241}, {9589, 51091}, {9692, 60291}, {9779, 50869}, {9812, 51075}, {10164, 50866}, {10519, 51216}, {10576, 43562}, {10577, 43563}, {11057, 32892}, {11645, 20080}, {12816, 42090}, {12817, 42091}, {14226, 42539}, {14912, 51211}, {14927, 15534}, {14930, 43618}, {16964, 43253}, {16965, 43252}, {18487, 36413}, {19106, 49874}, {19107, 49873}, {20049, 28198}, {21167, 51167}, {22165, 48872}, {22615, 42609}, {22644, 42608}, {23302, 43477}, {23303, 43478}, {28146, 50872}, {28150, 51077}, {28158, 51071}, {28160, 50804}, {28168, 50810}, {28172, 50864}, {28178, 50818}, {29012, 50961}, {29317, 51028}, {29323, 50967}, {32787, 42538}, {32788, 42537}, {33602, 42137}, {33603, 42136}, {34632, 47745}, {34638, 51066}, {35822, 43519}, {35823, 43520}, {36346, 44667}, {36352, 44666}, {36967, 49825}, {36968, 49824}, {36969, 49860}, {36970, 49859}, {36990, 50994}, {39593, 43619}, {41100, 43641}, {41101, 43642}, {41107, 42113}, {41108, 42112}, {41112, 42099}, {41113, 42100}, {42085, 49875}, {42086, 49876}, {42087, 49813}, {42088, 49812}, {42096, 42589}, {42097, 42588}, {42104, 43553}, {42105, 43552}, {42108, 43541}, {42109, 43540}, {42119, 43327}, {42120, 43326}, {42135, 43502}, {42138, 43501}, {42140, 49948}, {42141, 49947}, {42144, 43481}, {42145, 43482}, {42160, 42977}, {42161, 42976}, {42164, 42586}, {42165, 42587}, {42263, 42418}, {42264, 42417}, {42275, 43256}, {42276, 43257}, {42283, 42605}, {42284, 42604}, {42502, 42514}, {42503, 42515}, {42543, 43475}, {42544, 43476}, {42631, 43404}, {42632, 43403}, {42795, 42952}, {42796, 42953}, {42940, 43772}, {42941, 43771}, {42942, 43428}, {42943, 43429}, {43207, 43639}, {43208, 43640}, {43228, 43465}, {43229, 43466}, {43244, 43636}, {43245, 43637}, {43246, 43463}, {43247, 43464}, {43471, 43548}, {43472, 43549}, {43515, 60313}, {43516, 60314}, {43566, 53518}, {43567, 53519}, {46334, 49827}, {46335, 49826}, {50801, 51072}, {50862, 54448}, {50958, 50990}, {50992, 61044}, {51022, 51186}, {51094, 51120}, {51110, 51118}, {51130, 51185}, {51143, 51537}, {53517, 60299}, {53520, 60300}, {54815, 60279}, {60147, 60286}

X(62168) = reflection of X(i) in X(j) for these {i,j}: {11541, 381}, {15640, 11001}, {15682, 15685}, {15683, 5059}, {376, 17800}, {3146, 15683}, {3543, 3529}
X(62168) = anticomplement of X(15640)
X(62168) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(4846), X(47599)}}, {{A, B, C, X(5055), X(16251)}}, {{A, B, C, X(11539), X(18850)}}, {{A, B, C, X(11541), X(54512)}}, {{A, B, C, X(18317), X(49134)}}
X(62168) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17578, 3845}, {2, 3534, 3522}, {4, 15689, 15721}, {4, 376, 11539}, {20, 10304, 15691}, {20, 15721, 15689}, {20, 3146, 5068}, {30, 11001, 15640}, {30, 15683, 3146}, {30, 15685, 15682}, {30, 17800, 376}, {30, 381, 11541}, {30, 5059, 15683}, {376, 3544, 15706}, {382, 12108, 4}, {3090, 15691, 10304}, {3090, 3524, 15694}, {3522, 17678, 15705}, {3522, 3832, 10303}, {3524, 15682, 12101}, {3530, 17578, 3832}, {3534, 14269, 15711}, {3534, 15720, 15695}, {3534, 3830, 11812}, {3534, 5076, 15722}, {3543, 10303, 14269}, {3543, 3839, 5076}, {3627, 8703, 5066}, {3830, 11001, 15697}, {3845, 15691, 15716}, {3845, 15716, 3090}, {3851, 6938, 3091}, {3855, 6936, 5067}, {5066, 8703, 15701}, {8703, 10109, 15693}, {8703, 15685, 11001}, {10109, 15721, 2}, {11001, 15682, 8703}, {12101, 15682, 3543}, {14891, 15720, 3524}, {14893, 15710, 7486}, {15640, 15697, 3830}, {15681, 15722, 3534}, {15682, 15685, 20}, {15687, 15708, 3854}, {15687, 17538, 15708}, {15701, 15716, 3530}, {15701, 17800, 15685}

X(62169) = X(2)X(3)∩X(40)X(50868)

X(62169) lies on these lines: {2, 3}, {40, 50868}, {371, 42538}, {372, 42537}, {944, 51120}, {1327, 6484}, {1328, 6485}, {1350, 51025}, {1699, 58227}, {3241, 28154}, {4297, 51119}, {4816, 6361}, {5237, 43202}, {5238, 43201}, {5318, 43421}, {5321, 43420}, {5691, 50809}, {5731, 58234}, {6431, 43257}, {6432, 43256}, {6449, 43536}, {6450, 54597}, {6480, 52667}, {6481, 52666}, {6776, 51166}, {9690, 42540}, {9956, 50867}, {11180, 55591}, {11531, 50818}, {11645, 51179}, {12245, 50871}, {14226, 42261}, {14241, 42260}, {14482, 43618}, {16200, 28158}, {18583, 51213}, {19924, 51214}, {20049, 28216}, {21356, 55612}, {23249, 41959}, {23251, 43887}, {23259, 41960}, {23261, 43888}, {24206, 51217}, {28146, 34631}, {28150, 58241}, {28168, 34632}, {28172, 34627}, {28190, 31145}, {28194, 58248}, {28202, 58244}, {29323, 54170}, {34754, 42430}, {34755, 42429}, {35770, 42414}, {35771, 42413}, {36967, 42986}, {36968, 42987}, {36990, 50966}, {41107, 42890}, {41108, 42891}, {41943, 52079}, {41944, 52080}, {41977, 42159}, {41978, 42162}, {42085, 42800}, {42086, 42799}, {42113, 61719}, {42157, 42588}, {42158, 42589}, {42488, 43002}, {42489, 43003}, {42514, 42927}, {42515, 42926}, {42539, 43415}, {42639, 43560}, {42640, 43561}, {42725, 43624}, {42726, 43625}, {42803, 42922}, {42804, 42923}, {42898, 43194}, {42899, 43193}, {42940, 43333}, {42941, 43332}, {42952, 43501}, {42953, 43502}, {43008, 46334}, {43009, 46335}, {43314, 43788}, {43315, 43787}, {43334, 43487}, {43335, 43488}, {43523, 60313}, {43524, 60314}, {44882, 51165}, {47354, 55622}, {48896, 59373}, {50819, 51118}, {50974, 55722}, {50975, 51163}, {51176, 51212}, {51537, 55633}, {51705, 58231}

X(62169) = reflection of X(i) in X(j) for these {i,j}: {11001, 5059}, {11541, 2}, {15640, 1657}, {15682, 3529}, {2, 17800}, {3146, 15685}
X(62169) = anticomplement of X(62045)
X(62169) = pole of line {69, 62111} with respect to the Wallace hyperbola
X(62169) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1494), X(11541)}}, {{A, B, C, X(3530), X(18849)}}, {{A, B, C, X(12108), X(54660)}}, {{A, B, C, X(15689), X(54667)}}, {{A, B, C, X(18851), X(46936)}}, {{A, B, C, X(18852), X(19709)}}, {{A, B, C, X(18854), X(41991)}}, {{A, B, C, X(58188), X(60122)}}
X(62169) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 15685, 6949}, {2, 30, 11541}, {4, 17538, 3530}, {4, 632, 3855}, {20, 15684, 5071}, {20, 3146, 3851}, {30, 15685, 3146}, {30, 1657, 15640}, {30, 17800, 2}, {30, 3529, 15682}, {376, 10299, 14093}, {376, 3090, 15715}, {376, 5071, 15698}, {1657, 15640, 3524}, {1657, 3628, 20}, {3091, 10303, 17573}, {3533, 3845, 3545}, {3534, 3853, 15708}, {3543, 3832, 15687}, {3545, 15698, 3533}, {3830, 17538, 15709}, {3845, 15684, 3543}, {3851, 5076, 3861}, {10124, 15708, 15702}, {11001, 15702, 15686}, {12101, 15705, 3544}, {15681, 15684, 5054}, {15682, 15710, 4}, {15683, 15686, 11001}, {15683, 15692, 15681}, {15686, 15702, 376}, {15687, 15690, 15723}, {15687, 15723, 3832}, {15692, 15702, 15719}

X(62170) = X(2)X(3)∩X(17)X(42997)

X(62170) lies on these lines: {2, 3}, {17, 42997}, {18, 42996}, {61, 43305}, {62, 43304}, {399, 51959}, {1131, 9690}, {1132, 43415}, {1482, 28158}, {3411, 42100}, {3412, 42099}, {3818, 55622}, {4301, 61284}, {4316, 9671}, {4324, 9656}, {4325, 9668}, {4330, 9655}, {5097, 48905}, {5351, 43373}, {5352, 43372}, {5493, 61248}, {5881, 28168}, {6407, 52667}, {6408, 52666}, {6417, 42413}, {6418, 42414}, {6429, 13665}, {6430, 13785}, {6433, 35812}, {6434, 35813}, {6437, 31487}, {6438, 35821}, {6455, 53518}, {6456, 53519}, {6480, 13903}, {6481, 13961}, {6484, 23251}, {6485, 23261}, {6486, 8976}, {6487, 13951}, {8148, 28182}, {8550, 51172}, {9588, 33697}, {9589, 11278}, {9607, 43618}, {9624, 31662}, {9654, 51817}, {9681, 42272}, {9778, 61255}, {10516, 55636}, {11531, 18526}, {11742, 39590}, {11999, 13445}, {12645, 28164}, {12702, 28172}, {12943, 31480}, {15040, 38792}, {15069, 29323}, {16200, 48661}, {16964, 42131}, {16965, 42130}, {18440, 55591}, {18510, 42267}, {18512, 42266}, {22236, 42430}, {22238, 42429}, {22793, 61274}, {29012, 55582}, {29317, 39899}, {33541, 37486}, {34754, 42127}, {34755, 42126}, {35237, 43845}, {35770, 42263}, {35771, 42264}, {36990, 55603}, {39561, 48910}, {40107, 55607}, {42096, 43633}, {42097, 43632}, {42108, 42818}, {42109, 42817}, {42112, 42148}, {42113, 42147}, {42125, 42433}, {42128, 42434}, {42153, 42902}, {42156, 42903}, {42431, 43232}, {42432, 43233}, {42610, 43226}, {42611, 43227}, {42631, 42908}, {42632, 42909}, {42892, 43016}, {42893, 43017}, {42934, 43637}, {42935, 43636}, {42964, 43646}, {42965, 43645}, {42990, 43245}, {42991, 43244}, {43174, 50797}, {43306, 43634}, {43307, 43635}, {43330, 43492}, {43331, 43491}, {43521, 43883}, {43522, 43884}, {43785, 53131}, {43786, 53130}, {48872, 55594}, {48879, 55612}, {48880, 55618}, {48884, 55627}, {48889, 55642}, {48891, 55685}, {48895, 55683}, {48896, 50664}, {48898, 55703}, {48901, 55699}, {48904, 55695}, {48920, 55640}, {48942, 55645}, {48943, 55680}, {51165, 51173}, {51175, 55580}, {51186, 55628}, {51537, 55632}, {52945, 59655}, {53023, 55688}, {55691, 59411}, {58224, 61269}, {58244, 61296}, {59503, 61250}

X(62170) = reflection of X(i) in X(j) for these {i,j}: {11541, 550}, {3, 5059}, {382, 17800}, {5073, 3529}
X(62170) = anticomplement of X(62047)
X(62170) = pole of line {185, 61920} with respect to the Jerabek hyperbola
X(62170) = pole of line {69, 55619} with respect to the Wallace hyperbola
X(62170) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(68), X(46333)}}, {{A, B, C, X(265), X(50692)}}, {{A, B, C, X(1294), X(49133)}}, {{A, B, C, X(3856), X(18550)}}, {{A, B, C, X(15714), X(60122)}}, {{A, B, C, X(17703), X(44962)}}, {{A, B, C, X(18848), X(46853)}}, {{A, B, C, X(21400), X(33699)}}
X(62170) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 3830, 3850}, {3, 3843, 5067}, {3, 3845, 1656}, {3, 3850, 15723}, {3, 3851, 11539}, {3, 5056, 5054}, {3, 5073, 3543}, {4, 15697, 14869}, {4, 16371, 3860}, {5, 10303, 5070}, {5, 548, 3524}, {20, 3146, 3855}, {20, 3526, 15696}, {20, 382, 3526}, {20, 3855, 548}, {30, 550, 11541}, {382, 15696, 381}, {548, 15714, 3528}, {550, 11541, 15684}, {631, 3858, 15973}, {1657, 3526, 20}, {1657, 5076, 3534}, {2043, 2044, 15714}, {3146, 15697, 4}, {3524, 3543, 3845}, {3529, 11541, 10303}, {3529, 3533, 11001}, {3529, 3534, 1657}, {3533, 3832, 5}, {3534, 12101, 15693}, {3534, 15694, 15688}, {3534, 5073, 5076}, {3543, 11812, 14269}, {3543, 15686, 15694}, {3543, 3545, 12101}, {3543, 5059, 3529}, {3627, 15690, 5056}, {3845, 10124, 3545}, {3850, 15723, 5079}, {3851, 12103, 14093}, {3853, 5067, 3843}, {3854, 16854, 17579}, {5070, 15684, 17578}, {6836, 15640, 3091}, {10303, 15693, 15720}, {11001, 15708, 15686}, {11250, 13620, 3}, {11541, 12101, 5073}, {12103, 15682, 3851}, {15681, 15684, 10124}, {15683, 15714, 15681}, {15684, 17578, 382}, {15688, 15699, 15706}

X(62171) = X(2)X(3)∩X(17)X(52079)

X(62171) lies on these lines: {2, 3}, {17, 52079}, {18, 52080}, {69, 55589}, {145, 28182}, {944, 28158}, {962, 32900}, {1151, 43786}, {1152, 43785}, {1199, 35237}, {1352, 55599}, {1531, 27082}, {2549, 34571}, {3619, 48920}, {3818, 55621}, {4316, 47743}, {4324, 8164}, {5343, 42088}, {5344, 42087}, {5365, 42108}, {5366, 42109}, {5558, 31776}, {6221, 43376}, {6361, 28172}, {6398, 43377}, {6435, 7581}, {6436, 7582}, {6449, 43507}, {6450, 43508}, {6480, 42570}, {6481, 42571}, {6488, 41952}, {6489, 41951}, {6498, 42216}, {6499, 42215}, {7592, 33534}, {7768, 32822}, {7917, 32817}, {8960, 52667}, {9542, 60291}, {9589, 51077}, {9624, 50819}, {10194, 51910}, {10195, 51911}, {10645, 42775}, {10646, 42776}, {12002, 14855}, {12245, 28164}, {12289, 32601}, {13598, 61136}, {14075, 43619}, {14864, 54050}, {14912, 55715}, {14927, 55719}, {16808, 43447}, {16809, 43446}, {18553, 55609}, {19106, 43771}, {19107, 43772}, {20070, 28190}, {22235, 42137}, {22237, 42136}, {22615, 43510}, {22644, 43509}, {23267, 42266}, {23273, 42267}, {25406, 55709}, {29012, 55581}, {29317, 39874}, {29323, 55586}, {31670, 55713}, {32137, 33884}, {33602, 42514}, {33603, 42515}, {34507, 55592}, {40693, 42430}, {40694, 42429}, {42085, 43769}, {42086, 43770}, {42096, 42999}, {42097, 42998}, {42099, 42992}, {42100, 42993}, {42104, 42495}, {42105, 42494}, {42112, 42158}, {42113, 42157}, {42119, 42431}, {42120, 42432}, {42139, 42978}, {42140, 42151}, {42141, 42150}, {42142, 42979}, {42260, 43432}, {42261, 43433}, {42433, 42908}, {42434, 42909}, {42435, 43331}, {42436, 43330}, {42584, 42989}, {42585, 42988}, {42631, 43202}, {42632, 43201}, {42920, 43464}, {42921, 43463}, {42924, 43466}, {42925, 43465}, {43413, 53130}, {43414, 53131}, {43481, 43633}, {43482, 43632}, {43485, 43636}, {43486, 43637}, {43495, 43631}, {43496, 43630}, {43621, 55712}, {44762, 50709}, {46264, 55714}, {48873, 55598}, {48879, 55613}, {48880, 55619}, {48896, 51538}, {48898, 55702}, {48901, 55700}, {50956, 55647}, {50990, 55597}, {51022, 55626}, {51130, 51177}, {51212, 55717}, {52666, 58866}

X(62171) = reflection of X(i) in X(j) for these {i,j}: {11541, 20}, {3146, 17800}, {4, 5059}
X(62171) = anticomplement of X(49136)
X(62171) = pole of line {185, 61921} with respect to the Jerabek hyperbola
X(62171) = pole of line {69, 44245} with respect to the Wallace hyperbola
X(62171) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(69), X(44245)}}, {{A, B, C, X(550), X(18847)}}, {{A, B, C, X(1294), X(50692)}}, {{A, B, C, X(1656), X(18851)}}, {{A, B, C, X(3523), X(18849)}}, {{A, B, C, X(3533), X(18850)}}, {{A, B, C, X(4846), X(55857)}}, {{A, B, C, X(5068), X(18852)}}, {{A, B, C, X(5198), X(46851)}}, {{A, B, C, X(7486), X(16251)}}, {{A, B, C, X(11403), X(14487)}}, {{A, B, C, X(12812), X(31371)}}, {{A, B, C, X(14861), X(15694)}}, {{A, B, C, X(14869), X(15740)}}, {{A, B, C, X(15319), X(17578)}}, {{A, B, C, X(15640), X(51348)}}, {{A, B, C, X(15688), X(42021)}}, {{A, B, C, X(15690), X(54667)}}, {{A, B, C, X(15701), X(54660)}}, {{A, B, C, X(18848), X(21735)}}
X(62171) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 382, 14893}, {3, 3856, 2}, {4, 11001, 550}, {4, 11541, 5073}, {4, 17538, 3523}, {4, 3524, 5068}, {4, 3525, 3850}, {4, 3528, 1656}, {4, 3533, 3855}, {4, 376, 3533}, {20, 11541, 15682}, {20, 15682, 3090}, {20, 30, 11541}, {20, 3090, 376}, {20, 3627, 3524}, {20, 3861, 3528}, {20, 8703, 17538}, {30, 17800, 3146}, {140, 1657, 20}, {140, 381, 5056}, {381, 15689, 12100}, {382, 17538, 3545}, {631, 3545, 3628}, {1656, 3543, 4}, {1657, 5073, 140}, {3146, 10304, 3853}, {3146, 11001, 631}, {3146, 17800, 11001}, {3149, 13168, 3544}, {3534, 15640, 6848}, {3534, 17578, 3525}, {3627, 15691, 5070}, {3628, 17800, 15683}, {3839, 17532, 5066}, {3861, 15704, 15689}, {5076, 15686, 15717}, {6480, 43515, 42570}, {6481, 43516, 42571}, {10304, 16052, 15712}, {11001, 17800, 3529}, {11539, 12101, 381}, {12102, 15688, 7486}, {12103, 15684, 3832}, {12811, 15721, 5067}, {15640, 15683, 15706}, {15682, 15698, 12101}, {42275, 42414, 7582}, {42276, 42413, 7581}

X(62172) = X(4)X(523)∩X(52)X(520)

X(62172) lies on the Feuerbach circumhyperbola of the orthic triangle and these lines: {2, 38401}, {4, 523}, {6, 2501}, {24, 46616}, {52, 520}, {107, 14220}, {113, 133}, {155, 8057}, {185, 924}, {186, 2411}, {193, 9007}, {297, 18311}, {340, 45808}, {378, 46608}, {524, 53156}, {525, 40909}, {526, 1986}, {648, 14559}, {1510, 22948}, {1640, 6749}, {1843, 8675}, {2407, 3233}, {2905, 4833}, {3087, 45801}, {3258, 16186}, {3520, 14809}, {3574, 23290}, {5095, 9003}, {5466, 60193}, {5962, 58072}, {6368, 46027}, {10412, 14618}, {11587, 53255}, {13202, 55121}, {14222, 38936}, {14314, 41078}, {14391, 45191}, {14583, 43088}, {18310, 52288}, {18507, 55141}, {23286, 51887}, {34291, 47217}, {42399, 52452}, {42660, 44274}, {46026, 50543}, {46151, 60512}, {52416, 57210}, {52661, 53178}, {52675, 57120}, {52710, 53378}

X(62172) = reflection of X(41078) in X(14314)
X(62172) = anticomplement of X(38401)
X(62172) = polar circle inverse of X(34150)
X(62172) = polar conjugate of X(39290)
X(62172) = polar conjugate of the isotomic conjugate of X(5664)
X(62172) = polar conjugate of the isogonal conjugate of X(52743)
X(62172) = orthic-isogonal conjugate of X(35235)
X(62172) = X(i)-Ceva conjugate of X(j) for these (i,j): {4, 35235}, {107, 186}, {648, 1990}, {14618, 1637}
X(62172) = X(i)-isoconjugate of X(j) for these (i,j): {48, 39290}, {74, 36061}, {162, 50464}, {265, 36034}, {476, 35200}, {656, 15395}, {662, 11079}, {1793, 36064}, {2159, 60053}, {2349, 32662}, {4575, 5627}, {4592, 40355}, {14919, 32678}, {18877, 32680}
X(62172) = X(i)-Dao conjugate of X(j) for these (i,j): {125, 50464}, {133, 476}, {136, 5627}, {1084, 11079}, {1249, 39290}, {1637, 525}, {1650, 51254}, {3163, 60053}, {3258, 265}, {3284, 4558}, {5139, 40355}, {5664, 34767}, {8552, 3265}, {14918, 99}, {16221, 74}, {17433, 44715}, {18334, 14919}, {18402, 36831}, {35235, 56686}, {38993, 39378}, {38994, 39377}, {40596, 15395}, {47898, 36311}, {47899, 36308}, {57295, 43083}, {60342, 14380}
X(62172) = cevapoint of X(55265) and X(58346)
X(62172) = trilinear pole of line {3258, 47414}
X(62172) = crossdifference of every pair of points on line {3284, 11079}
X(62172) = barycentric product X(i)*X(j) for these {i,j}: {4, 5664}, {30, 44427}, {186, 41079}, {264, 52743}, {340, 1637}, {523, 14920}, {526, 46106}, {648, 3258}, {850, 39176}, {1511, 14618}, {1577, 35201}, {1784, 32679}, {1990, 3268}, {2081, 43752}, {2407, 35235}, {2411, 11251}, {2501, 6148}, {3260, 47230}, {6110, 23871}, {6111, 23870}, {6528, 47414}, {8552, 52661}, {9033, 14165}, {14590, 58261}, {36035, 52414}, {57487, 58263}
X(62172) = barycentric quotient X(i)/X(j) for these {i,j}: {4, 39290}, {30, 60053}, {112, 15395}, {186, 44769}, {512, 11079}, {526, 14919}, {647, 50464}, {1495, 32662}, {1511, 4558}, {1637, 265}, {1784, 32680}, {1990, 476}, {2081, 44715}, {2088, 14380}, {2173, 36061}, {2489, 40355}, {2501, 5627}, {2624, 35200}, {3258, 525}, {4240, 39295}, {5664, 69}, {6110, 23896}, {6111, 23895}, {6137, 39378}, {6138, 39377}, {6148, 4563}, {9409, 50433}, {11062, 36831}, {11251, 2410}, {14165, 16077}, {14270, 18877}, {14397, 5961}, {14398, 52153}, {14401, 51254}, {14581, 14560}, {14920, 99}, {16240, 41392}, {34397, 32640}, {35201, 662}, {35235, 2394}, {39176, 110}, {39371, 43755}, {41079, 328}, {44427, 1494}, {46106, 35139}, {47230, 74}, {47414, 520}, {52418, 1304}, {52661, 46456}, {52743, 3}, {55265, 39170}, {58261, 14592}, {58263, 57482}, {58346, 56399}, {58900, 50467}
X(62172) = pole of line {1990, 3580} with respect to the Steiner circumellipse
X(62172) = pole of line {1990, 44665} with respect to the MacBeath circumconic
X(62172) = pole of line {16310, 47296} with respect to the Steiner inellipse
X(62172) = pole of line {30, 1990} with respect to the Orthic inconic
X(62172) = pole of line {403, 34334} with respect to the MacBeath inconic
X(62172) = pole of line {16163, 55121} with respect to the Kiepert parabola
X(62172) = pole of line {186, 5667} with respect to the circumcircle
X(62172) = pole of line {403, 52219} with respect to the nine point circle
X(62172) = pole of line {4, 11657} with respect to the orthocentroidal circle
X(62172) = pole of line {30, 74} with respect to the polar circle
X(62172) = pole of line {468, 46045} with respect to the orthoptic-circle-of-the-Steiner-inellipse
X(62172) = pole of line {107, 403} with respect to the second Droz-Farney circle

X(62173) = X(3)X(523)∩X(160)X(669)

X(62173) lies on the Kiepert parabola and these lines: {3, 523}, {110, 16170}, {160, 669}, {186, 2411}, {237, 23350}, {512, 56373}, {520, 12038}, {526, 1511}, {924, 10282}, {1640, 50660}, {1649, 40604}, {2451, 18573}, {2528, 41328}, {3233, 15329}, {3265, 9723}, {3431, 14380}, {5092, 8675}, {5467, 38354}, {5489, 23286}, {9003, 39477}, {10610, 37084}, {14354, 58346}, {16171, 38610}, {18311, 35296}, {18808, 35473}, {22115, 53234}, {23108, 57136}, {25564, 55121}, {34963, 49673}, {39231, 58262}, {44889, 47253}, {44891, 58438}, {45147, 53247}, {45808, 52437}, {52743, 59500}, {53255, 57295}, {59289, 59744}

X(62173) = midpoint of X(3) and X(46616)
X(62173) = reflection of X(i) in X(j) for these {i,j}: {14809, 3}, {44809, 44808}, {60342, 8562}
X(62173) = reflection of X(14809) in the Euler line
X(62173) = isotomic conjugate of the isogonal conjugate of X(57136)
X(62173) = X(i)-Ceva conjugate of X(j) for these (i,j): {99, 323}, {15470, 526}, {37848, 52343}, {37850, 52342}, {51256, 16186}
X(62173) = X(i)-isoconjugate of X(j) for these (i,j): {94, 32678}, {265, 36129}, {476, 2166}, {798, 57546}, {811, 14595}, {1577, 23588}, {1989, 32680}, {2617, 14859}, {6344, 36061}, {20948, 23966}, {34209, 36047}, {36096, 43087}, {36143, 52983}
X(62173) = X(i)-Dao conjugate of X(j) for these (i,j): {526, 523}, {2088, 57486}, {11597, 476}, {16186, 58723}, {16221, 6344}, {17423, 14595}, {18334, 94}, {31998, 57546}, {34544, 32680}, {35581, 34209}, {40604, 35139}, {55071, 14356}, {58900, 14566}, {60342, 10412}
X(62173) = crossdifference of every pair of points on line {1989, 3003}
X(62173) = barycentric product X(i)*X(j) for these {i,j}: {50, 3268}, {76, 57136}, {99, 18334}, {186, 8552}, {323, 526}, {525, 3043}, {1576, 23965}, {2088, 10411}, {3265, 36423}, {5664, 14385}, {6149, 32679}, {7799, 14270}, {10419, 58872}, {11130, 57122}, {11131, 57123}, {14590, 16186}, {15470, 34834}, {17402, 52342}, {17403, 52343}, {22115, 44427}, {23108, 39295}, {34397, 45792}, {37802, 44808}, {45808, 52668}, {47230, 52437}, {51383, 60777}
X(62173) = barycentric quotient X(i)/X(j) for these {i,j}: {50, 476}, {99, 57546}, {186, 46456}, {323, 35139}, {526, 94}, {1576, 23588}, {2088, 10412}, {2436, 43707}, {2623, 14859}, {2624, 2166}, {3043, 648}, {3049, 14595}, {3268, 20573}, {6149, 32680}, {8552, 328}, {14270, 1989}, {14385, 39290}, {14574, 23966}, {15470, 40427}, {16186, 14592}, {18334, 523}, {19627, 14560}, {22115, 60053}, {23965, 44173}, {36423, 107}, {44427, 18817}, {44808, 18883}, {44809, 30529}, {44814, 43084}, {47230, 6344}, {52603, 39295}, {52743, 14254}, {57136, 6}, {60342, 57486}
{X(44814),X(60342)}-harmonic conjugate of X(8562)
X(62173) = pole of line {476, 10412} with respect to the Feuerbach circumhyperbola of the tangential triangle
X(62173) = pole of line {35139, 35316} with respect to the Kiepert circumhyperbola of the anticomplementary triangle
X(62173) = pole of line {323, 18301} with respect to the Steiner circumellipse
X(62173) = pole of line {11064, 34834} with respect to the Steiner inellipse
X(62173) = pole of line {526, 1511} with respect to the Kiepert parabola
X(62173) = pole of line {30, 146} with respect to the circumcircle
X(62173) = pole of line {2072, 34333} with respect to the nine point circle
X(62173) = pole of line {403, 6344} with respect to the polar circle
X(62173) = pole of line {10257, 16319} with respect to the ninepoint circle of medial triangle

X(62174) = X(2)X(51)∩X(20)X(64)

X(62174) lies on these lines: {2, 51}, {3, 193}, {4, 3620}, {5, 55584}, {6, 3523}, {20, 64}, {23, 47468}, {30, 55593}, {66, 2888}, {76, 46034}, {140, 44456}, {141, 3091}, {146, 5181}, {147, 10513}, {153, 51007}, {165, 34379}, {182, 15717}, {315, 10008}, {343, 7396}, {376, 3564}, {382, 61545}, {394, 10565}, {439, 5171}, {487, 11825}, {488, 11824}, {516, 50316}, {518, 34744}, {524, 10304}, {542, 55603}, {548, 39899}, {549, 5093}, {550, 11898}, {597, 15721}, {599, 3543}, {611, 5281}, {613, 5265}, {631, 1351}, {962, 49511}, {1092, 19121}, {1160, 11291}, {1161, 11292}, {1176, 9545}, {1204, 3098}, {1216, 3089}, {1352, 3146}, {1570, 21843}, {1992, 5085}, {2071, 53021}, {2889, 5596}, {2895, 50699}, {3056, 14986}, {3088, 6403}, {3090, 21850}, {3524, 5032}, {3525, 18583}, {3528, 48906}, {3529, 18440}, {3530, 53091}, {3534, 50966}, {3541, 6152}, {3546, 10627}, {3547, 6101}, {3589, 55722}, {3618, 10303}, {3619, 5056}, {3629, 53094}, {3630, 55607}, {3631, 36990}, {3763, 7486}, {3785, 30270}, {3818, 17578}, {3832, 31670}, {3839, 10516}, {3854, 55586}, {3926, 5188}, {4208, 26543}, {4232, 15066}, {4259, 37112}, {4549, 49670}, {4869, 7385}, {5039, 14930}, {5052, 31400}, {5054, 59399}, {5059, 29323}, {5066, 51184}, {5068, 24206}, {5071, 38136}, {5095, 15051}, {5102, 15708}, {5232, 7379}, {5562, 5656}, {5731, 5847}, {5800, 37163}, {5889, 52520}, {5999, 15589}, {6144, 55651}, {6392, 12251}, {6393, 37182}, {6467, 13348}, {6815, 15741}, {6986, 37492}, {7378, 37636}, {7386, 26869}, {7390, 17300}, {7398, 33586}, {7400, 11412}, {7404, 37484}, {7407, 17238}, {7484, 61657}, {7487, 37486}, {7488, 37485}, {7494, 61690}, {7710, 7788}, {7793, 13355}, {7987, 51196}, {7991, 49505}, {8362, 40268}, {8550, 11008}, {8584, 51214}, {8596, 19905}, {8703, 50974}, {9540, 35840}, {10168, 55717}, {10299, 12017}, {10477, 37421}, {10517, 39388}, {10518, 39387}, {10541, 32455}, {10691, 18950}, {10733, 32257}, {11001, 50955}, {11036, 24471}, {11061, 33851}, {11177, 50639}, {11179, 33750}, {11180, 15683}, {11284, 44833}, {11440, 40317}, {11444, 12294}, {11459, 34621}, {12007, 55676}, {12058, 33523}, {12100, 50962}, {12220, 15644}, {12222, 21737}, {12512, 39878}, {13736, 19782}, {13935, 35841}, {14138, 51206}, {14139, 51207}, {14645, 34473}, {14683, 32247}, {14810, 21734}, {14848, 15709}, {15022, 19130}, {15035, 25321}, {15054, 32114}, {15107, 52301}, {15108, 20062}, {15520, 38064}, {15533, 15697}, {15534, 55673}, {15577, 38435}, {15606, 61747}, {15640, 47353}, {15695, 51175}, {15698, 50979}, {15704, 48662}, {15705, 17508}, {15712, 55705}, {15720, 51732}, {15750, 46444}, {15759, 50986}, {16163, 32244}, {16475, 54445}, {16789, 44440}, {16976, 47463}, {17538, 55602}, {17928, 37491}, {18553, 43621}, {18906, 32834}, {19126, 34148}, {19131, 43574}, {19588, 37198}, {19708, 51179}, {19783, 48909}, {19924, 50687}, {20065, 35387}, {20070, 39898}, {20125, 48679}, {21312, 54184}, {21735, 55639}, {22165, 50970}, {22253, 55167}, {22467, 37488}, {22676, 32833}, {25555, 55723}, {26892, 55912}, {26893, 55907}, {28408, 58805}, {29585, 46475}, {30769, 37638}, {32000, 37200}, {32006, 53017}, {32220, 37952}, {32234, 38726}, {32451, 32522}, {32605, 41716}, {32817, 54993}, {32863, 50698}, {33524, 39879}, {33699, 50954}, {33703, 39884}, {33749, 55669}, {33923, 55632}, {34573, 46935}, {34781, 41464}, {34815, 41008}, {35913, 52095}, {35914, 52096}, {36672, 48934}, {36740, 37106}, {37108, 54383}, {37444, 61737}, {37455, 37665}, {37460, 37478}, {37473, 41590}, {37483, 39588}, {37669, 61680}, {37671, 53015}, {37760, 47569}, {39875, 43511}, {39876, 43512}, {40132, 47582}, {40341, 44882}, {40911, 46336}, {41152, 51022}, {41735, 54211}, {42637, 49229}, {42638, 49228}, {43150, 50692}, {43273, 50992}, {44137, 54033}, {44682, 55692}, {44704, 52283}, {46264, 50693}, {46442, 59346}, {46451, 47450}, {47096, 47447}, {47278, 47337}, {47354, 50994}, {47358, 50872}, {48872, 49140}, {48880, 55597}, {48885, 55600}, {48892, 55608}, {48898, 55601}, {48901, 50689}, {48910, 50688}, {50781, 50864}, {50784, 50863}, {50786, 50871}, {50787, 50865}, {50788, 50862}, {50958, 51189}, {50959, 51186}, {50961, 50969}, {50973, 51737}, {50975, 55613}, {50981, 51172}, {50984, 51185}, {50985, 51176}, {50991, 51024}, {50993, 51211}, {51001, 51705}, {51029, 51142}, {51050, 51064}, {51136, 51188}, {51140, 55660}, {51143, 51166}, {51178, 55630}, {52016, 52525}, {55721, 58445}

X(62174) = midpoint of X(i) and X(j) for these {i,j}: {599, 55591}, {10519, 50967}, {15533, 59411}, {53023, 53097}
X(62174) = reflection of X(i) in X(j) for these {i,j}: {2, 10519}, {6, 21167}, {193, 14912}, {376, 55610}, {1351, 38110}, {1992, 5085}, {3839, 21356}, {5032, 3524}, {5085, 54169}, {5093, 549}, {10519, 54173}, {11179, 55649}, {14561, 50977}, {14912, 3}, {25321, 15035}, {25406, 31884}, {47096, 47447}, {47463, 16976}, {51212, 53023}, {51538, 10516}, {53023, 141}, {54132, 14561}, {54170, 55591}, {55717, 10168}, {59411, 50965}
X(62174) = anticomplement of X(14853)
X(62174) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 50967, 54174}, {2, 54174, 51028}, {4, 33878, 61044}, {4, 48876, 3620}, {20, 69, 5921}, {69, 1350, 20}, {69, 14927, 15069}, {141, 51212, 3091}, {141, 53097, 51212}, {394, 33522, 10565}, {550, 11898, 39874}, {599, 54170, 3543}, {631, 1351, 51171}, {1350, 15069, 48881}, {1992, 5085, 33748}, {1992, 54169, 15692}, {3098, 6776, 3522}, {3522, 20080, 6776}, {3619, 5480, 5056}, {3620, 61044, 4}, {10516, 51538, 3839}, {11179, 55649, 33750}, {11898, 55604, 550}, {14927, 48881, 20}, {15069, 48881, 14927}, {15107, 54013, 52301}, {15640, 47353, 51216}, {15692, 33748, 5085}, {15712, 61624, 55705}, {15717, 51170, 182}, {18440, 48874, 3529}, {18440, 55595, 48874}, {21356, 51538, 10516}, {25406, 31884, 10304}, {31670, 40107, 40330}, {31670, 40330, 3832}, {33878, 48876, 4}, {34507, 55594, 48873}, {39899, 55616, 548}, {40107, 55587, 31670}, {40341, 55614, 44882}, {47353, 50982, 50990}, {48906, 55629, 3528}, {48910, 51537, 50688}, {50967, 54173, 2}, {50977, 54132, 2}, {59397, 59398, 9752}
X(62174) = pole of line {3815, 5056} with respect to the Kiepert circumhyperbola
X(62174) = pole of line {3819, 6776} with respect to the Jerabek circumhyperbola
X(62174) = pole of line {10303, 58446} with respect to the Kiepert circumhyperbola of the medial triangle
X(62174) = pole of line {154, 182} with respect to the Feuerbach circumhyperbola of the tangential triangle
X(62174) = pole of line {3198, 60723} with respect to the Jerabek circumhyperbola of the excentral triangle
X(62174) = pole of line {20, 183} with respect to the Kiepert circumhyperbola of the anticomplementary triangle
X(62174) = pole of line {2979, 5921} with respect to the Jerabek circumhyperbola of the anticomplementary triangle
X(62174) = pole of line {3265, 23878} with respect to the Steiner circumellipse
X(62174) = pole of line {3054, 5056} with respect to the BG KHO conic
X(62174) = pole of line {3053, 18424} with respect to the Pythagorean conic (see K1231)
X(62174) = pole of line {512, 30474} with respect to the orthoptic-circle-of-the-Steiner-circumellipse

X(62175) = X(6)X(22089)∩X(32)X(39201)

X(62175) is the barycentric product of the three points introduced at X(4455) in Peter Moses's note dated March 6, 2024.

X(62175) lies on these lines: {6, 22089}, {32, 39201}, {525, 30435}, {669, 57204}, {1384, 39228}, {3172, 44705}, {7735, 59745}, {9409, 52588}, {12150, 44173}, {21309, 59933}, {37085, 42660}

X(62175) = X(i)-Ceva conjugate of X(j) for these (i,j): {3049, 669}, {36841, 154}
X(62175) = X(i)-isoconjugate of X(j) for these (i,j): {64, 4602}, {75, 44326}, {99, 57921}, {253, 799}, {304, 53639}, {310, 56235}, {459, 55202}, {561, 46639}, {648, 57780}, {662, 41530}, {670, 2184}, {811, 34403}, {1073, 57968}, {1301, 40364}, {2155, 4609}, {4554, 5931}, {4592, 52581}, {6331, 19611}, {14638, 23999}, {15394, 57973}, {17879, 55268}, {24037, 58759}, {30457, 55213}
X(62175) = X(i)-Dao conjugate of X(j) for these (i,j): {122, 1502}, {206, 44326}, {512, 58759}, {1084, 41530}, {5139, 52581}, {17423, 34403}, {38986, 57921}, {38996, 253}, {39020, 40050}, {40368, 46639}, {45245, 4609}, {45248, 52608}, {55066, 57780}
X(62175) = crossdifference of every pair of points on line {253, 305}
X(62175) = barycentric product X(i)*X(j) for these {i,j}: {20, 669}, {25, 42658}, {32, 6587}, {154, 512}, {184, 44705}, {204, 810}, {560, 17898}, {610, 798}, {647, 3172}, {667, 3198}, {1084, 36841}, {1249, 3049}, {1397, 14308}, {1562, 61206}, {1918, 21172}, {1919, 8804}, {1924, 18750}, {1974, 8057}, {1980, 52345}, {2207, 58796}, {2489, 15905}, {3005, 51508}, {3063, 30456}, {6525, 39201}, {7070, 51641}, {8641, 40933}, {9426, 14615}, {9427, 55224}, {14249, 58310}, {14345, 40354}, {14398, 15291}, {14581, 61215}, {20580, 36417}, {20975, 57153}, {33581, 58342}, {33629, 55219}, {37669, 57204}, {41937, 55269}, {47439, 58895}
X(62175) = barycentric quotient X(i)/X(j) for these {i,j}: {20, 4609}, {32, 44326}, {154, 670}, {204, 57968}, {512, 41530}, {610, 4602}, {669, 253}, {798, 57921}, {810, 57780}, {1084, 58759}, {1394, 55213}, {1501, 46639}, {1924, 2184}, {1974, 53639}, {2205, 56235}, {2489, 52581}, {3049, 34403}, {3172, 6331}, {3198, 6386}, {6587, 1502}, {8057, 40050}, {9426, 64}, {14308, 40363}, {15905, 52608}, {17898, 1928}, {33629, 55218}, {36841, 44168}, {41937, 55268}, {42658, 305}, {44162, 1301}, {44705, 18022}, {51508, 689}, {57204, 459}, {58310, 15394}
X(62175) = pole of line {44326, 52608} with respect to the Feuerbach circumhyperbola of the tangential triangle
X(62175) = pole of line {2211, 3172} with respect to the Brocard inellipse
X(62175) = pole of line {1502, 52581} with respect to the polar circle

X(62176) = X(6)X(520)∩X(512)X(1692)

X(62176) is the trilinear product of the three points introduced at X(4455) in Peter Moses's note dated March 6, 2024.

X(62176) lies on these lines: {6, 520}, {512, 1692}, {523, 47457}, {647, 657}, {690, 59991}, {798, 7180}, {810, 3709}, {924, 2492}, {2081, 55204}, {2422, 53059}, {2491, 3221}, {2507, 54272}, {3124, 42654}, {3267, 3618}, {6388, 45212}, {6587, 8057}, {6791, 47251}, {8574, 60501}, {8675, 39520}, {9033, 47125}, {9035, 52598}, {9426, 58317}, {13341, 54257}, {15384, 32687}, {15851, 40494}, {20186, 59987}, {23975, 32713}, {30209, 59933}, {42293, 52590}, {47415, 47421}

X(62176) = midpoint of X(i) and X(j) for these {i,j}: {6, 2485}, {647, 2451}, {2489, 3049}
X(62176) = isogonal conjugate of X(44326)
X(62176) = isogonal conjugate of the isotomic conjugate of X(6587)
X(62176) = isogonal conjugate of the polar conjugate of X(44705)
X(62176) = polar conjugate of the isotomic conjugate of X(42658)
X(62176) = X(i)-complementary conjugate of X(j) for these (i,j): {9255, 55069}, {9258, 127}, {9292, 34846}, {32676, 59561}
X(62176) = X(i)-Ceva conjugate of X(j) for these (i,j): {647, 512}, {657, 798}, {2451, 3221}, {6587, 42658}, {32687, 42671}, {40186, 39020}, {55224, 20}
X(62176) = X(i)-isoconjugate of X(j) for these (i,j): {1, 44326}, {63, 53639}, {64, 799}, {75, 46639}, {86, 56235}, {99, 2184}, {110, 57921}, {112, 57780}, {162, 34403}, {163, 41530}, {253, 662}, {304, 1301}, {459, 4592}, {645, 8809}, {648, 19611}, {651, 5931}, {670, 2155}, {811, 1073}, {823, 15394}, {2632, 55268}, {4554, 52158}, {4573, 44692}, {4575, 52581}, {4602, 33581}, {4625, 30457}, {6331, 19614}, {14379, 57973}, {14638, 24000}, {14642, 57968}, {18750, 53886}, {24018, 44181}, {24041, 58759}, {35571, 51304}, {41082, 44327}, {41088, 55211}, {41489, 55202}, {53012, 55231}, {55241, 60803}
X(62176) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 44326}, {4, 6331}, {115, 41530}, {122, 76}, {125, 34403}, {136, 52581}, {206, 46639}, {244, 57921}, {1084, 253}, {1427, 46406}, {3005, 58759}, {3162, 53639}, {5139, 459}, {6587, 52617}, {17423, 1073}, {34591, 57780}, {38986, 2184}, {38991, 5931}, {38996, 64}, {39020, 305}, {40600, 56235}, {40616, 310}, {45245, 670}, {45248, 4563}, {55058, 28660}, {55066, 19611}
X(62176) = crossdifference of every pair of points on line {20, 64}
X(62176) = barycentric product X(i)*X(j) for these {i,j}: {3, 44705}, {4, 42658}, {6, 6587}, {20, 512}, {25, 8057}, {31, 17898}, {42, 21172}, {56, 14308}, {64, 58342}, {112, 1562}, {122, 32713}, {125, 57153}, {154, 523}, {204, 656}, {393, 58796}, {513, 3198}, {520, 6525}, {525, 3172}, {610, 661}, {647, 1249}, {649, 8804}, {650, 30456}, {657, 36908}, {663, 5930}, {667, 52345}, {669, 14615}, {798, 18750}, {810, 1895}, {826, 51508}, {878, 44704}, {1084, 55224}, {1394, 4041}, {1400, 14331}, {1459, 53011}, {1637, 15291}, {1990, 61215}, {2207, 20580}, {2489, 37669}, {2501, 15905}, {2623, 42459}, {3049, 15466}, {3124, 36841}, {3213, 8611}, {3269, 57219}, {3344, 58895}, {3709, 18623}, {3900, 40933}, {4017, 7070}, {5895, 46005}, {6129, 41086}, {6529, 47409}, {7156, 51664}, {7180, 27382}, {8749, 14345}, {9409, 10152}, {12077, 33629}, {14249, 39201}, {15451, 38808}, {20975, 52913}, {23964, 55269}, {32687, 57296}, {35602, 58757}, {41489, 57201}, {42671, 61189}, {44698, 55230}, {51641, 52346}, {53560, 57193}
X(62176) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 44326}, {20, 670}, {25, 53639}, {32, 46639}, {122, 52617}, {154, 99}, {204, 811}, {213, 56235}, {512, 253}, {523, 41530}, {610, 799}, {647, 34403}, {656, 57780}, {661, 57921}, {663, 5931}, {669, 64}, {798, 2184}, {810, 19611}, {1249, 6331}, {1394, 4625}, {1562, 3267}, {1895, 57968}, {1924, 2155}, {1974, 1301}, {2489, 459}, {2501, 52581}, {3049, 1073}, {3124, 58759}, {3172, 648}, {3198, 668}, {3269, 14638}, {5930, 4572}, {6525, 6528}, {6587, 76}, {7070, 7257}, {8057, 305}, {8804, 1978}, {9426, 33581}, {14308, 3596}, {14331, 28660}, {14615, 4609}, {15905, 4563}, {17898, 561}, {18750, 4602}, {21172, 310}, {23964, 55268}, {30456, 4554}, {32713, 44181}, {33581, 53886}, {33673, 55213}, {36413, 55224}, {36841, 34537}, {36908, 46406}, {37669, 52608}, {39201, 15394}, {40933, 4569}, {42658, 69}, {44698, 55229}, {44705, 264}, {46005, 34410}, {47409, 4143}, {51508, 4577}, {51641, 8809}, {52345, 6386}, {55219, 13157}, {55224, 44168}, {55269, 36793}, {57153, 18020}, {57204, 41489}, {58310, 14379}, {58342, 14615}, {58344, 38956}, {58796, 3926}, {58895, 47435}
X(62176) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {647, 30442, 58895}, {3049, 14398, 2489}
X(62176) = pole of line {3150, 13611} with respect to the Kiepert circumhyperbola
X(62176) = pole of line {3269, 9409} with respect to ABCGK
X(62176) = pole of line {3270, 20974} with respect to ABCIK
X(62176) = pole of line {44326, 52608} with respect to the Steiner/Wallace right hyperbola
X(62176) = pole of line {4563, 34211} with respect to the Feuerbach circumhyperbola of the tangential triangle
X(62176) = pole of line {4561, 7256} with respect to the Kiepert circumhyperbola of the excentral triangle
X(62176) = pole of line {7258, 44326} with respect to the Jerabek circumhyperbola of the excentral triangle
X(62176) = pole of line {44326, 52608} with respect to the Kiepert circumhyperbola of the anticomplementary triangle
X(62176) = pole of line {511, 1498} with respect to the MacBeath circumconic
X(62176) = pole of line {232, 800} with respect to the Steiner inellipse
X(62176) = pole of line {25, 32} with respect to the Brocard inellipse
X(62176) = pole of line {1843, 5895} with respect to the orthic inconic
X(62176) = pole of line {1042, 40933} with respect to the Hofstadter inellipse
X(62176) = pole of line {1044, 1716} with respect to the Mandart circumellipse, CC9
X(62176) = pole of line {1661, 3053} with respect to the circumcircle
X(62176) = pole of line {2386, 5028} with respect to the Brocard circle
X(62176) = pole of line {25, 32} with respect to the first Lemoine circle
X(62176) = pole of line {1351, 6000} with respect to the second Lemoine circle
X(62176) = pole of line {32, 38297} with respect to the Moses circle
X(62176) = pole of line {76, 459} with respect to the polar circle

X(62177) = X(2)X(61776)∩X(3)X(9147)

X(62177) is the barycentric sum of the three points introduced at X(4455) in Peter Moses's note dated March 6, 2024.

X(62177) lies on thjese lines: {2, 61776}, {3, 9147}, {4, 16235}, {20, 9148}, {351, 15692}, {376, 53365}, {523, 2071}, {631, 19912}, {690, 15055}, {804, 10304}, {2780, 3524}, {2793, 21166}, {3523, 11176}, {3543, 45689}, {9126, 15698}, {10299, 11615}, {15724, 20186}, {44826, 53345}

X(62177) = pole of line {1368, 15526} with respect to the orthoptic-circle-of-the-Steiner-inellipse
X(62177) = pole of line {1370, 39352} with respect to the orthoptic-circle-of-th-Steiner-circumellipe

X(62178) = 14th TRAN VIET HUNG-LOZADA CENTER

See Tran Viet Hung and César Lozada, Romantics of Geometry - March 08, 2024.

X(62178) lies on the Feuerbach hyperbola and these lines: {1, 5806}, {4, 18421}, {7, 5691}, {8, 1699}, {9, 5836}, {21, 165}, {65, 3062}, {79, 6259}, {80, 59390}, {84, 3339}, {90, 2093}, {104, 3361}, {314, 16284}, {515, 3296}, {517, 4866}, {942, 9851}, {943, 53053}, {944, 18490}, {946, 1000}, {971, 31507}, {1156, 7995}, {1320, 5531}, {1709, 7285}, {1750, 5665}, {2320, 30389}, {3057, 45830}, {3146, 58834}, {3452, 7989}, {3577, 16616}, {3632, 15998}, {3680, 11224}, {4312, 10307}, {4778, 43728}, {4900, 7982}, {5226, 7320}, {5437, 7987}, {5555, 41698}, {5558, 12577}, {5559, 10827}, {5587, 5763}, {5727, 15909}, {5903, 38271}, {6598, 28609}, {6601, 37712}, {7091, 10980}, {7160, 9819}, {7682, 50444}, {7988, 26129}, {7992, 10308}, {10429, 18391}, {10864, 24645}, {11518, 45834}, {12650, 15179}, {12672, 55931}, {13606, 37719}, {15071, 55922}, {15175, 61763}, {15446, 15803}, {18483, 43734}, {20008, 59385}, {31673, 43733}, {40256, 55918}, {40779, 59311}, {51525, 56117}, {53054, 56027}, {56263, 60975}

X(62178) = reflection of X(7990) in X(1)
X(62178) = isogonal conjugate of X(7987)
X(62178) = X(3340)-cross conjugate of-X(1)
X(62178) = X(14528)-vertex conjugate of-X(56343)
X(62178) = Cundy-Parry-Psi-transform of X(18421)
X(62178) = Gibert-Burek-Moses concurrent circles image of X(13866)
X(62178) = antipode of X(7990) in Feuerbach circumhyperbola

X(62179) = 15th TRAN VIET HUNG-LOZADA CENTER

See Tran Viet Hung and César Lozada, Romantics of Geometry - March 08, 2024.

X(62179) lies on these lines: {1, 7}, {3973, 24644}, {7613, 46943}, {11224, 58793}, {49448, 58245}

X(62180) = 16th TRAN VIET HUNG-LOZADA CENTER

See Tran Viet Hung and César Lozada, Romantics of Geometry - March 08, 2024.

X(62180) lies on the Feuerbach hyperbola and these lines: {1, 11379}, {7, 18217}, {8, 9589}, {21, 58221}, {90, 53056}, {943, 1750}, {946, 18490}, {971, 45834}, {1000, 5691}, {1210, 56263}, {1320, 12127}, {1699, 3296}, {1838, 38268}, {4900, 58245}, {5551, 18483}, {5558, 21625}, {5665, 9844}, {7160, 53052}, {7308, 16192}, {7317, 31673}, {7320, 12575}, {7995, 55931}, {12679, 15909}, {31509, 58248}

X(62180) = reflection of X(1) in X(11379)
X(62180) = isogonal conjugate of X(16192)
X(62180) = cevapoint of X(2310) and X(48026)
X(62180) = X(3339)-cross conjugate of-X(1)

X(62181) = 17th TRAN VIET HUNG-LOZADA CENTER

See Tran Viet Hung and César Lozada, Romantics of Geometry - March 08, 2024.

X(62181) lies on these lines: {1, 7}, {165, 4383}, {238, 16192}, {3751, 55722}, {6180, 53053}, {11495, 16469}, {49490, 58245}, {58221, 60846}

X(62182) = 18th TRAN VIET HUNG-LOZADA CENTER

See Tran Viet Hung and César Lozada, Romantics of Geometry - March 08, 2024.

X(62182) lies on these lines: {1, 7}, {45, 517}, {1086, 3656}, {1709, 54352}, {2310, 25415}, {3577, 4792}, {3870, 4080}, {5219, 52429}, {8148, 20430}, {9779, 54309}, {11278, 55722}, {49712, 54370}, {52212, 52371}, {54933, 60075}

X(62183) = 19th TRAN VIET HUNG-LOZADA CENTER

See Tran Viet Hung and César Lozada, Romantics of Geometry - March 08, 2024.

X(62183) lies on these lines: {1, 971}, {2, 45097}, {3, 6}, {4, 3945}, {5, 4648}, {24, 44100}, {30, 3332}, {37, 5779}, {42, 6244}, {44, 59381}, {45, 51516}, {51, 37269}, {55, 2003}, {77, 5728}, {81, 7580}, {86, 48878}, {140, 37650}, {193, 36706}, {222, 14547}, {223, 11018}, {238, 38031}, {269, 942}, {354, 56848}, {381, 17392}, {382, 5733}, {387, 37424}, {394, 13615}, {405, 37659}, {515, 4349}, {516, 4667}, {517, 8147}, {601, 1253}, {631, 37681}, {651, 954}, {916, 2293}, {940, 19541}, {944, 4344}, {990, 1100}, {999, 1064}, {1014, 36012}, {1086, 59380}, {1203, 8273}, {1260, 55400}, {1279, 10246}, {1385, 7290}, {1418, 5708}, {1442, 10394}, {1449, 5732}, {1482, 49478}, {1490, 37594}, {1536, 14548}, {1617, 61398}, {1656, 17245}, {1709, 37593}, {1742, 4649}, {1743, 31658}, {1757, 54474}, {1790, 33586}, {1818, 55432}, {1993, 20835}, {2328, 37672}, {2334, 7991}, {2808, 6767}, {2999, 11227}, {3008, 38122}, {3019, 5073}, {3060, 11350}, {3167, 20834}, {3190, 55406}, {3526, 17337}, {3560, 5453}, {3564, 36474}, {3576, 16469}, {3655, 50294}, {3664, 5805}, {3672, 36996}, {3830, 45942}, {3927, 37528}, {3946, 43177}, {4000, 31657}, {4191, 9777}, {4306, 13404}, {4340, 20420}, {4363, 29016}, {4419, 5843}, {4644, 5762}, {4675, 38107}, {4851, 12618}, {4869, 36682}, {5217, 38293}, {5222, 21151}, {5256, 10167}, {5287, 5927}, {5308, 5817}, {5422, 37309}, {5544, 16421}, {5573, 58615}, {5706, 48897}, {5707, 37411}, {5712, 8727}, {5717, 5787}, {5721, 17528}, {6090, 47523}, {6600, 45729}, {6610, 15934}, {6776, 49131}, {6913, 50317}, {6916, 48847}, {7011, 20122}, {7053, 45963}, {7411, 37685}, {7960, 11200}, {9709, 37699}, {10156, 23511}, {10157, 17022}, {10267, 21002}, {10306, 37698}, {10391, 45126}, {10398, 59215}, {10446, 49130}, {10883, 37635}, {10964, 37556}, {11108, 25878}, {11220, 17011}, {11402, 16064}, {11518, 33633}, {13633, 14848}, {13727, 17379}, {14996, 36002}, {15008, 18216}, {15178, 35227}, {15251, 38053}, {15287, 16203}, {15569, 54370}, {15668, 48888}, {16408, 37732}, {16411, 17825}, {16466, 20978}, {16670, 21153}, {16777, 60884}, {17300, 36652}, {17365, 60922}, {17378, 36721}, {17603, 56418}, {18440, 36707}, {18526, 29235}, {19517, 37521}, {19767, 37022}, {20818, 24320}, {21850, 36674}, {22053, 52424}, {25430, 30326}, {29571, 38108}, {37224, 54356}, {37240, 61220}, {39641, 39642}, {49132, 51212}, {49488, 59620}, {50307, 52682}, {55438, 56813}

X(62183) = reflection of X(i) in X(j) for these (i, j): (3, 37474), (5751, 14520)
X(62183) = Cundy-Parry-Phi-transform of X(4258)
X(62183) = Cundy-Parry-Psi-transform of X(57826)
X(62183) = perspector of the circumconic through X(110) and X(61240)
X(62183) = pole of the line {3900, 5216} with respect to the Conway circle
X(62183) = pole of the line {3900, 44410} with respect to the incircle
X(62183) = pole of the line {4843, 14618} with respect to the polar circle
X(62183) = pole of the line {34830, 60992} with respect to the circumhyperbola dual of Yff parabola
X(62183) = pole of the line {184, 37269} with respect to the Jerabek circumhyperbola
X(62183) = pole of the line {5, 5022} with respect to the Kiepert circumhyperbola
X(62183) = pole of the line {520, 657} with respect to the MacBeath circumconic
X(62183) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (6, 991, 3), (55, 2003, 22117), (386, 37501, 3), (500, 36742, 3), (572, 1350, 3), (581, 36746, 3), (4675, 53599, 38107), (13329, 50677, 3), (49478, 61086, 1482)

X(62184) = X(2)X(51)∩X(3)X(61774)

X(62184) lies on these lines: {2, 51}, {3, 61774}, {22, 55660}, {23, 55657}, {25, 55654}, {52, 55862}, {110, 55695}, {140, 10575}, {141, 61045}, {184, 55697}, {185, 3526}, {323, 55713}, {389, 61870}, {547, 36987}, {549, 32062}, {568, 55858}, {631, 13474}, {632, 9730}, {1154, 61874}, {1216, 55866}, {1495, 16187}, {1656, 44863}, {1843, 51128}, {1995, 55649}, {3066, 55593}, {3292, 5050}, {3523, 46847}, {3525, 6241}, {3533, 11459}, {3740, 61678}, {3763, 32366}, {5020, 55643}, {5054, 14915}, {5085, 5651}, {5092, 35265}, {5102, 59777}, {5446, 61878}, {5447, 55860}, {5462, 61875}, {5562, 46219}, {5643, 55716}, {5646, 11284}, {5663, 11539}, {5888, 14810}, {5890, 61865}, {5891, 10124}, {5892, 15723}, {5907, 61856}, {6000, 15709}, {6090, 17809}, {6800, 55685}, {7484, 35268}, {7485, 55667}, {7492, 55663}, {7496, 55670}, {7712, 55679}, {9026, 61686}, {9027, 21358}, {9306, 55693}, {9716, 55709}, {9729, 61863}, {9973, 61676}, {10110, 61881}, {10303, 11381}, {10545, 55606}, {10546, 55674}, {10625, 55861}, {11003, 55700}, {11455, 61833}, {11540, 15060}, {11614, 15544}, {11695, 61873}, {11793, 61867}, {11812, 16194}, {12162, 61853}, {12294, 52292}, {13331, 40130}, {13340, 55857}, {13348, 46936}, {13363, 55859}, {13391, 61879}, {13570, 61912}, {13598, 46935}, {13754, 61864}, {14002, 55653}, {14641, 61831}, {14831, 61869}, {14845, 47599}, {14855, 15713}, {14869, 55286}, {14924, 55722}, {15045, 61866}, {15066, 39561}, {15067, 16239}, {15072, 55864}, {15080, 55680}, {15107, 55615}, {15305, 61846}, {15644, 60781}, {16226, 61871}, {16409, 22080}, {16419, 22352}, {16863, 22076}, {16980, 51073}, {17704, 61848}, {18435, 61854}, {18874, 45186}, {20582, 40673}, {21663, 32620}, {21766, 55603}, {21850, 44300}, {23039, 61872}, {24206, 59776}, {27355, 61886}, {30734, 55646}, {32142, 41992}, {32237, 55664}, {34417, 55610}, {37674, 61670}, {40647, 61855}, {41462, 55627}, {44106, 55630}, {44107, 55717}, {44109, 55706}, {44870, 61834}, {46849, 61818}, {46850, 61842}, {46852, 61799}, {48912, 55612}, {51377, 61158}, {54041, 61889}, {54042, 61880}, {54044, 61898}, {54376, 61679}, {61136, 61859}

X(62184) = midpoint of X(2) and X(33879)
X(62184) = reflection of X(i) in X(j) for these {i,j}: {5650, 33879}, {33879, 15082}
X(62184) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 2979, 10219}, {2, 5640, 12045}, {2, 5650, 373}, {2, 15082, 5650}, {2, 44299, 5943}, {51, 5650, 7998}, {373, 5650, 3917}, {373, 21969, 5640}, {631, 16261, 55166}, {3819, 12045, 5640}, {3819, 21969, 3917}, {5650, 12045, 21969}, {5888, 16042, 14810}, {16187, 40916, 1495}

X(62185) = X(2)X(970)∩X(10)X(30)

X(622) lies on these lines:: {2, 970}, {3, 48852}, {10, 30}, {140, 9568}, {181, 3584}, {381, 573}, {386, 5054}, {511, 26446}, {519, 49599}, {524, 49636}, {530, 49634}, {531, 49635}, {532, 49644}, {533, 49643}, {538, 49645}, {542, 49637}, {543, 49638}, {547, 2051}, {754, 49646}, {1682, 3582}, {1685, 13847}, {1686, 13846}, {1695, 38021}, {1698, 48917}, {2092, 3017}, {3029, 49102}, {3524, 9534}, {3628, 9569}, {3656, 19858}, {3679, 10434}, {4260, 50977}, {4276, 28443}, {5055, 9566}, {5071, 9535}, {5309, 9546}, {5530, 37631}, {5690, 48894}, {6684, 48893}, {9548, 19875}, {9567, 15694}, {9588, 37425}, {9780, 48899}, {9956, 48924}, {10056, 31496}, {10440, 11231}, {11362, 50418}, {15979, 31446}, {19853, 50810}, {30116, 34718}, {31162, 59312}, {31423, 48909}, {32419, 49639}, {32421, 49640}, {49716, 58822}, {50828, 59303}

X(62185) = midpoint of X(3679) and X(14636)
X(62185) = {X(48887),X(61524)}-harmonic conjugate of X(48919)

X(62186) = X(1)X(37757)∩X(3)X(142)

X(62186) lies on these lines: {1, 37757}, {2, 11201}, {3, 142}, {170, 17095}, {348, 59677}, {3811, 28870}, {5703, 53014}, {7988, 17671}, {11200, 14986}, {28850, 45700}

X(62187) = X(2)X(51)∩X(4)X(93)

X(62187) lies on these lines: {2, 51}, {3, 14449}, {4, 93}, {5, 54048}, {6, 6636}, {15, 21461}, {16, 21462}, {20, 52}, {22, 1351}, {23, 154}, {25, 323}, {26, 9545}, {30, 34796}, {54, 38435}, {69, 7394}, {110, 44082}, {140, 54047}, {143, 631}, {182, 53863}, {184, 7712}, {185, 5059}, {193, 2393}, {194, 46518}, {195, 17714}, {211, 7912}, {237, 48673}, {251, 5028}, {343, 5169}, {376, 568}, {389, 3522}, {394, 13595}, {428, 34380}, {467, 44704}, {512, 19569}, {549, 13321}, {576, 5012}, {674, 4661}, {858, 41588}, {970, 17548}, {1007, 51440}, {1112, 6353}, {1160, 1599}, {1161, 1600}, {1180, 5052}, {1181, 12087}, {1216, 5056}, {1350, 5422}, {1352, 37349}, {1370, 18950}, {1383, 1915}, {1469, 17024}, {1501, 5111}, {1503, 41628}, {1613, 20977}, {1656, 44324}, {1670, 15250}, {1671, 15249}, {1843, 7408}, {1899, 5189}, {1992, 9019}, {1995, 55724}, {2071, 37489}, {2781, 3448}, {2937, 55039}, {2987, 9157}, {3056, 29815}, {3090, 6101}, {3091, 5446}, {3095, 37184}, {3098, 15004}, {3146, 5889}, {3164, 40642}, {3167, 35265}, {3311, 13617}, {3312, 13616}, {3313, 51171}, {3518, 16266}, {3523, 3567}, {3524, 5946}, {3525, 10627}, {3528, 37481}, {3529, 6102}, {3533, 15026}, {3534, 61136}, {3543, 11455}, {3545, 23039}, {3564, 34603}, {3580, 23332}, {3581, 35473}, {3616, 31757}, {3619, 40670}, {3620, 9969}, {3621, 16980}, {3681, 9047}, {3796, 5102}, {3830, 9879}, {3832, 5562}, {3839, 11459}, {3854, 15056}, {3855, 11591}, {3873, 9037}, {3981, 9463}, {4121, 51396}, {4184, 48875}, {4188, 37482}, {4189, 5752}, {4210, 48908}, {4430, 8679}, {5034, 38862}, {5055, 13451}, {5067, 10095}, {5068, 10110}, {5071, 15067}, {5092, 34565}, {5097, 22352}, {5133, 21850}, {5154, 37536}, {5354, 11173}, {5447, 15024}, {5462, 10303}, {5480, 37353}, {5644, 7484}, {5645, 55587}, {5654, 46451}, {5663, 15682}, {5862, 34373}, {5863, 34375}, {5864, 11146}, {5865, 11145}, {5907, 50689}, {5921, 27365}, {5984, 39817}, {5986, 10754}, {6030, 55717}, {6241, 49135}, {6403, 6995}, {6759, 9935}, {6776, 20062}, {7378, 47328}, {7392, 7693}, {7409, 12294}, {7426, 59553}, {7485, 9777}, {7486, 7999}, {7488, 36747}, {7494, 18438}, {7496, 10601}, {7512, 36749}, {7517, 56292}, {7525, 14627}, {7527, 44413}, {7533, 15108}, {7691, 11424}, {7787, 41262}, {7933, 27374}, {8705, 15534}, {9143, 14984}, {9301, 37457}, {9306, 14002}, {9536, 11190}, {9539, 11189}, {9703, 37936}, {9729, 21734}, {9730, 10304}, {9780, 31737}, {9792, 59183}, {9936, 13423}, {9939, 61727}, {9973, 11008}, {10154, 61655}, {10170, 61924}, {10298, 13352}, {10299, 12006}, {10323, 37493}, {10546, 44106}, {10560, 57481}, {10574, 16625}, {10575, 49140}, {10605, 37944}, {10606, 12086}, {10653, 36981}, {10654, 36979}, {10691, 61657}, {11160, 11188}, {11202, 34148}, {11206, 44668}, {11216, 37784}, {11225, 19924}, {11245, 52397}, {11381, 50690}, {11422, 55718}, {11427, 44439}, {11433, 16063}, {11439, 45187}, {11442, 31670}, {11456, 37945}, {11465, 61863}, {11488, 61641}, {11489, 61642}, {11550, 41724}, {11624, 49813}, {11626, 49812}, {11649, 37901}, {11695, 61842}, {11793, 15022}, {11800, 13201}, {11807, 12273}, {12083, 15032}, {12088, 12161}, {12105, 58266}, {12111, 13598}, {12160, 32063}, {12162, 50688}, {12220, 40673}, {12225, 13142}, {12226, 59351}, {12239, 43512}, {12240, 43511}, {12279, 50692}, {12290, 50691}, {12834, 41462}, {13207, 14614}, {13330, 20859}, {13348, 61791}, {13363, 15702}, {13366, 15080}, {13382, 52093}, {13417, 14683}, {13434, 46728}, {13482, 39242}, {13491, 49138}, {13567, 31101}, {13570, 61962}, {13596, 15110}, {13630, 17538}, {14118, 17834}, {14128, 61945}, {14731, 16978}, {14831, 15072}, {14915, 15640}, {15012, 62078}, {15019, 43650}, {15028, 61834}, {15030, 61985}, {15033, 37478}, {15043, 15644}, {15045, 15692}, {15052, 58891}, {15053, 37480}, {15058, 61982}, {15060, 41099}, {15066, 17810}, {15068, 52294}, {15305, 50687}, {15606, 61914}, {15681, 45956}, {15705, 16226}, {16042, 17811}, {16194, 62007}, {16227, 37497}, {16261, 61989}, {16451, 48907}, {16452, 48928}, {16776, 21356}, {16836, 62063}, {17704, 62060}, {17813, 40318}, {17825, 21766}, {18322, 35926}, {18376, 50435}, {18439, 62028}, {18445, 37925}, {18570, 41398}, {19161, 61044}, {19209, 43768}, {19708, 40280}, {19767, 50593}, {19877, 58474}, {20011, 50577}, {20094, 39846}, {20961, 29814}, {20965, 44453}, {21357, 50138}, {21844, 37495}, {22112, 55581}, {22115, 47485}, {22467, 37498}, {23292, 52300}, {23293, 31857}, {25054, 40382}, {25304, 33091}, {26874, 30258}, {26881, 34986}, {26913, 51360}, {26958, 30745}, {27375, 31276}, {29181, 61658}, {30439, 42511}, {30440, 42510}, {30744, 40920}, {31133, 44555}, {31296, 54269}, {31834, 61984}, {32110, 35493}, {32142, 61886}, {32205, 61870}, {32269, 58434}, {33703, 34783}, {34417, 55723}, {35264, 37672}, {35921, 37494}, {35929, 39141}, {36750, 59354}, {36978, 37640}, {36980, 37641}, {37126, 37486}, {37344, 40268}, {37460, 52000}, {37477, 61128}, {37516, 37685}, {37940, 47391}, {37978, 44469}, {37990, 48876}, {38942, 44879}, {40916, 55580}, {42149, 61698}, {42152, 61697}, {43816, 47528}, {44056, 44325}, {44107, 55594}, {44111, 55715}, {45007, 61574}, {45957, 49136}, {46106, 51877}, {46219, 58531}, {46847, 61992}, {46850, 62152}, {46934, 58469}, {47582, 59771}, {50600, 54341}, {53048, 59378}, {53049, 59379}, {53770, 57491}, {54062, 57489}, {54334, 59373}, {55166, 62054}, {55596, 61775}, {58533, 61867}

X(62187) = midpoint of X(14531) and X(32062)
X(62187) = reflection of X(i) in X(j) for these {i,j}: {2, 3060}, {20, 5890}, {69, 9971}, {376, 568}, {2979, 51}, {3060, 21969}, {3917, 21849}, {5890, 52}, {5891, 5446}, {6101, 13364}, {9939, 61727}, {10625, 5892}, {11002, 16981}, {11160, 11188}, {11412, 5891}, {12111, 32062}, {12220, 40673}, {13340, 5946}, {13364, 16982}, {15072, 14831}, {15681, 45956}, {15683, 15072}, {32062, 13598}, {32064, 34751}, {33884, 11002}, {36987, 389}, {37484, 54042}, {44325, 44056}, {52397, 11245}, {54042, 143}, {54048, 5}
X(62187) = anticomplement of X(2979)
X(62187) = orthoptic-circle-of-the-Steiner-circumellipse-inverse of X(38227)
X(62187) = anticomplement of the isogonal conjugate of X(2980)
X(62187) = anticomplement of the isotomic conjugate of X(44176)
X(62187) = isogonal conjugate of the isotomic conjugate of X(7814)
X(62187) = psi-transform of X(34127)
X(62187) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {2980, 8}, {27366, 21289}, {44176, 6327}, {44185, 21275}
X(62187) = X(44176)-Ceva conjugate of X(2)
X(62187) = crossdifference of every pair of points on line {3288, 7950}
X(62187) = barycentric product X(6)*X(7814)
X(62187) = barycentric quotient X(7814)/X(76)
X(62187) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3060, 11002}, {2, 16981, 3060}, {4, 45794, 3410}, {22, 1351, 1994}, {22, 1994, 11003}, {23, 1993, 9544}, {51, 2979, 2}, {51, 3819, 11451}, {51, 3917, 6688}, {51, 6688, 5640}, {143, 37484, 631}, {184, 15107, 37913}, {184, 37913, 7712}, {389, 36987, 20791}, {1216, 9781, 5056}, {1350, 5422, 15246}, {1993, 9544, 9716}, {1993, 33586, 23}, {2979, 3060, 51}, {2979, 5640, 44299}, {2979, 11451, 3819}, {2979, 44299, 3917}, {3060, 5640, 21849}, {3060, 21969, 16981}, {3567, 10625, 3523}, {3567, 54041, 5892}, {3819, 11451, 2}, {3917, 5640, 2}, {3917, 6688, 44299}, {3917, 21849, 5640}, {5446, 11412, 3091}, {5447, 15024, 55864}, {5480, 37636, 37353}, {5640, 44299, 6688}, {5889, 45186, 3146}, {5892, 10625, 54041}, {5892, 54041, 3523}, {5943, 7998, 2}, {5946, 13340, 3524}, {6243, 10263, 4}, {6515, 7391, 3448}, {6515, 51212, 7391}, {6688, 21849, 51}, {6688, 44299, 2}, {7485, 9777, 15018}, {9777, 33878, 7485}, {10110, 11444, 5068}, {10263, 13421, 6243}, {11004, 15107, 7712}, {11004, 37913, 184}, {11477, 33586, 1993}, {12111, 13598, 17578}, {13598, 14531, 12111}, {15043, 15644, 15717}, {15107, 37517, 11004}, {20791, 36987, 3522}, {37494, 39522, 35921}

X(62188) = X(2)X(51)∩X(3)X(1199)

X(62188) lies on these lines: {2, 51}, {3, 1199}, {4, 2889}, {6, 15246}, {8, 31737}, {20, 6193}, {22, 323}, {23, 394}, {25, 55584}, {30, 54048}, {52, 3523}, {68, 17711}, {69, 1369}, {110, 37913}, {140, 13321}, {141, 37353}, {143, 3525}, {184, 6030}, {185, 50693}, {186, 37494}, {193, 3313}, {194, 40642}, {211, 7938}, {343, 31074}, {376, 1154}, {389, 15717}, {512, 14976}, {549, 54047}, {568, 3524}, {631, 5946}, {633, 10210}, {674, 4430}, {962, 31738}, {970, 37307}, {1112, 38282}, {1147, 38435}, {1160, 1600}, {1161, 1599}, {1181, 16661}, {1216, 3091}, {1350, 1993}, {1351, 7485}, {1352, 15108}, {1370, 3448}, {1469, 29815}, {1493, 61243}, {1495, 55586}, {1501, 5104}, {1627, 5028}, {1656, 13451}, {1658, 38942}, {1670, 15249}, {1671, 15250}, {1843, 7409}, {1853, 10989}, {1899, 37779}, {1992, 54334}, {1995, 55580}, {2071, 37483}, {2387, 9939}, {2393, 11160}, {2781, 9143}, {2854, 50992}, {2888, 14790}, {3051, 44453}, {3056, 17024}, {3090, 10263}, {3094, 11205}, {3098, 5012}, {3146, 5562}, {3292, 26881}, {3522, 5889}, {3526, 14449}, {3528, 6102}, {3529, 18436}, {3533, 13421}, {3543, 11459}, {3545, 15067}, {3564, 52397}, {3567, 5447}, {3580, 31101}, {3581, 61128}, {3620, 29959}, {3681, 9037}, {3784, 23958}, {3787, 9465}, {3792, 17127}, {3832, 11444}, {3839, 5891}, {3854, 13570}, {3873, 9047}, {4184, 48908}, {4188, 5752}, {4189, 37482}, {4210, 48875}, {4259, 37685}, {4661, 8679}, {4678, 16980}, {5017, 34945}, {5055, 44324}, {5056, 5446}, {5059, 12111}, {5067, 32142}, {5068, 11793}, {5073, 31834}, {5133, 48876}, {5141, 37536}, {5169, 37636}, {5189, 11442}, {5422, 7496}, {5462, 55864}, {5550, 31757}, {5645, 10601}, {5651, 55581}, {5663, 11001}, {5862, 34375}, {5863, 34373}, {5864, 11145}, {5865, 11146}, {5876, 33703}, {5890, 10304}, {5892, 15708}, {5907, 17578}, {5984, 39807}, {6000, 15683}, {6403, 7378}, {6515, 16063}, {6676, 59771}, {6800, 37672}, {7186, 17126}, {7386, 18438}, {7394, 51212}, {7396, 61666}, {7408, 12294}, {7484, 15018}, {7486, 9781}, {7488, 37486}, {7500, 41716}, {7512, 9545}, {7519, 14826}, {7550, 39522}, {7555, 9703}, {7556, 22115}, {7667, 34380}, {7691, 13346}, {7734, 61657}, {7793, 41262}, {8041, 13330}, {8667, 13207}, {8681, 12058}, {8703, 61136}, {8705, 15533}, {8718, 15083}, {9306, 15107}, {9463, 20859}, {9729, 61791}, {9730, 15692}, {9777, 40916}, {9821, 37184}, {9909, 35265}, {9971, 21356}, {10095, 61886}, {10110, 15022}, {10170, 61936}, {10192, 40112}, {10298, 37478}, {10299, 37481}, {10564, 35493}, {10574, 13348}, {10984, 15801}, {10996, 31807}, {11008, 17710}, {11126, 14541}, {11127, 14540}, {11250, 12307}, {11381, 50692}, {11402, 55610}, {11411, 12226}, {11414, 43605}, {11422, 22352}, {11427, 37473}, {11433, 44439}, {11439, 50690}, {11441, 12087}, {11455, 15640}, {11488, 36978}, {11489, 36980}, {11574, 51170}, {11592, 61817}, {11624, 49862}, {11626, 49861}, {11695, 61848}, {11824, 55567}, {11825, 55566}, {12006, 61814}, {12082, 58891}, {12112, 44457}, {12162, 49135}, {12164, 33524}, {12212, 39955}, {12219, 41465}, {12251, 14957}, {12279, 45187}, {12290, 49140}, {12325, 32140}, {12824, 37669}, {12834, 22112}, {13201, 14683}, {13363, 15709}, {13364, 61899}, {13366, 14810}, {13409, 26874}, {13491, 62127}, {13595, 15066}, {13598, 15056}, {13630, 21735}, {14002, 55583}, {14096, 48673}, {14118, 37498}, {14128, 61964}, {14831, 20791}, {14845, 61912}, {14855, 15697}, {14915, 62160}, {15004, 55720}, {15019, 55721}, {15024, 61856}, {15026, 61867}, {15028, 61842}, {15030, 50687}, {15043, 61820}, {15052, 18534}, {15058, 50688}, {15068, 37925}, {15072, 36987}, {15080, 34986}, {15682, 18435}, {15688, 45956}, {15698, 40280}, {15705, 16836}, {15720, 16881}, {15739, 41590}, {16042, 17810}, {16226, 61812}, {16261, 62007}, {16451, 48928}, {16452, 48907}, {16625, 61804}, {16982, 60781}, {17538, 34783}, {17834, 22467}, {18439, 49138}, {18451, 37945}, {18570, 37496}, {19767, 50599}, {20063, 31383}, {20086, 54383}, {20094, 39836}, {20190, 44111}, {20977, 21001}, {21243, 31857}, {21850, 37990}, {21968, 37453}, {23293, 51360}, {25304, 33090}, {26913, 41586}, {31152, 44555}, {31296, 54272}, {31670, 37349}, {32062, 62032}, {32064, 44668}, {32205, 61873}, {32521, 37988}, {33264, 55005}, {33522, 37645}, {34148, 46728}, {34565, 55718}, {34566, 55706}, {34796, 44458}, {35268, 55589}, {35473, 37477}, {36747, 37126}, {36752, 45308}, {37457, 47618}, {37517, 41462}, {37668, 51439}, {37760, 59543}, {40647, 62097}, {41464, 52016}, {44003, 46717}, {44109, 55601}, {44210, 61655}, {45957, 62131}, {45959, 62028}, {46847, 62005}, {46850, 62124}, {47328, 52284}, {52093, 62125}, {52285, 61545}, {53770, 57481}, {54062, 57474}, {55038, 55603}, {55858, 58531}

X(62188) = midpoint of X(23039) and X(37484)
X(62188) = reflection of X(i) in X(j) for these {i,j}: {2, 2979}, {4, 23039}, {376, 13340}, {568, 54042}, {1992, 54334}, {3060, 3917}, {3146, 15305}, {3543, 11459}, {4430, 23155}, {5946, 10627}, {6243, 5946}, {11002, 33884}, {12824, 41673}, {15072, 36987}, {15305, 5562}, {15640, 11455}, {15682, 18435}, {16981, 7998}, {21969, 3819}, {23039, 6101}, {34796, 44458}, {45968, 7667}
X(62188) = anticomplement of X(3060)
X(62188) = anticomplement of the isogonal conjugate of X(45838)
X(62188) = isogonal conjugate of the isotomic conjugate of X(7871)
X(62188) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {45838, 8}, {57644, 21278}
X(62188) = crossdifference of every pair of points on line {3288, 37085}
X(62188) = barycentric product X(6)*X(7871)
X(62188) = barycentric quotient X(7871)/X(76)
X(62188) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 2979, 33884}, {2, 16981, 51}, {22, 323, 9544}, {22, 9544, 7712}, {51, 7998, 2}, {69, 7391, 3410}, {373, 44299, 2}, {568, 54042, 3524}, {1350, 1993, 6636}, {1351, 7485, 34545}, {1370, 45794, 3448}, {1993, 6636, 11003}, {2979, 3060, 3917}, {3060, 3917, 2}, {3567, 5447, 10303}, {3819, 5640, 2}, {3819, 21969, 5640}, {5446, 7999, 5056}, {5650, 11451, 2}, {5650, 21849, 11451}, {5889, 15644, 3522}, {6101, 37484, 4}, {6243, 10627, 631}, {6688, 33879, 2}, {7492, 23061, 9716}, {7512, 16266, 9545}, {9730, 54041, 15692}, {10574, 13348, 21734}, {10625, 11412, 20}, {11444, 45186, 3832}, {13348, 14531, 10574}, {13595, 33586, 48912}, {13598, 15056, 50689}, {15066, 33586, 13595}, {15072, 36987, 62120}, {15606, 45186, 11444}, {23061, 52987, 7492}, {37478, 43574, 10298}, {37517, 43650, 53863}, {40280, 54044, 15698}, {41462, 53863, 43650}

X(62189) = X(2)X(573)∩X(10)X(30)

X(62189) lies on these lines: {2, 573}, {3, 9568}, {10, 30}, {140, 9569}, {181, 4995}, {333, 37508}, {376, 48852}, {386, 3524}, {511, 10164}, {519, 14636}, {540, 49636}, {549, 970}, {551, 35631}, {946, 48924}, {1125, 48917}, {1682, 5298}, {1695, 25055}, {2092, 61661}, {2482, 34454}, {3029, 6055}, {3578, 3687}, {3584, 10408}, {3634, 48899}, {3679, 44039}, {4260, 54169}, {4276, 21161}, {4301, 50418}, {5054, 9566}, {5306, 9546}, {5530, 49744}, {5642, 34453}, {6174, 34458}, {6684, 48882}, {6685, 50829}, {7991, 50420}, {9534, 10304}, {9563, 43572}, {9567, 15693}, {9588, 15971}, {9840, 43174}, {10443, 60986}, {11237, 31496}, {11362, 48930}, {12512, 48937}, {13478, 37499}, {16192, 48923}, {17781, 22020}, {19853, 34632}, {19858, 31162}, {19875, 50037}, {22097, 24237}, {26044, 32431}, {30116, 50810}, {31423, 48941}, {35242, 48877}, {37520, 37631}, {39980, 50257}, {41629, 54388}, {50865, 59312}, {52793, 58772}, {54586, 56902}, {54699, 56214}

X(62190) = X(6)X(157)∩X(184)X(34416)

X(62190) lies on these lines: {6, 157}, {184, 34416}, {237, 33872}, {1992, 3398}, {4558, 11842}, {5007, 40673}, {5158, 23606}, {5309, 41221}, {5355, 8754}, {5702, 44096}, {8541, 44162}, {9407, 33881}, {10602, 43136}, {10796, 25051}, {13342, 40981}, {14060, 32447}, {15257, 17813}, {15526, 61712}, {23200, 33871}, {30534, 39560}, {33886, 39231}

X(62190) = isogonal conjugate of the isotomic conjugate of X(22112)
X(62190) = barycentric product X(6)*X(22112)
X(62190) = barycentric quotient X(22112)/X(76)
X(62190) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 1576, 46327}, {34396, 46327, 1576}

X(62191) = X(2)X(6)∩X(3)X(2502)

X(62191) lies on these lines: {2, 6}, {3, 2502}, {111, 7998}, {187, 5651}, {353, 7496}, {511, 8585}, {574, 5650}, {1495, 8588}, {1995, 5104}, {3124, 21448}, {5107, 22111}, {5210, 35259}, {6090, 39689}, {6800, 46276}, {7771, 35279}, {8288, 32216}, {8627, 15655}, {9225, 40916}, {10418, 50977}, {11173, 11284}, {11178, 39602}, {13192, 33884}, {18424, 51360}, {20998, 21766}, {33879, 50659}, {35283, 53418}, {38010, 44116}, {38402, 46734}, {42007, 52152}

X(62191) = crossdifference of every pair of points on line {512, 9189}
X(62191) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 352, 6}, {6, 46949, 3231}, {323, 7708, 6}, {15066, 20481, 6}, {17811, 56436, 6}

X(62192) = X(57)X(279)∩X(222)X(21748)

X(62192) lies on these lines: {57, 279}, {222, 21748}, {223, 2347}, {241, 28272}, {269, 61412}, {345, 6168}, {604, 1407}, {1020, 28387}, {1042, 1402}, {1055, 7011}, {1106, 1395}, {1214, 1334}, {1254, 10376}, {1323, 1764}, {1400, 1427}, {1406, 7114}, {1435, 36570}, {2357, 18210}, {3666, 34855}, {7250, 8034}, {8808, 21044}, {18593, 40152}, {40956, 61376}, {40968, 47848}

X(62192) = X(i)-isoconjugate of X(j) for these (i,j): {2, 56182}, {8, 2287}, {9, 1043}, {21, 346}, {28, 30681}, {29, 3692}, {58, 30693}, {78, 2322}, {81, 5423}, {86, 728}, {99, 4130}, {190, 58329}, {200, 333}, {210, 7058}, {220, 314}, {261, 4515}, {274, 480}, {281, 1792}, {283, 7101}, {284, 341}, {310, 6602}, {312, 2328}, {318, 2327}, {321, 6061}, {332, 7079}, {345, 4183}, {522, 7259}, {643, 3239}, {644, 7253}, {645, 3900}, {646, 21789}, {650, 7256}, {657, 7257}, {662, 4163}, {663, 7258}, {670, 57180}, {799, 4105}, {1021, 3699}, {1098, 2321}, {1172, 1265}, {1253, 28660}, {1260, 31623}, {1802, 44130}, {1812, 7046}, {2185, 4082}, {2194, 59761}, {2299, 52406}, {2326, 3710}, {2332, 3718}, {3022, 4601}, {3119, 4600}, {3694, 59482}, {3701, 7054}, {3737, 6558}, {4012, 40403}, {4081, 4567}, {4397, 5546}, {4524, 4631}, {4560, 4578}, {4571, 17926}, {4620, 24010}, {6064, 36197}, {6335, 58338}, {7368, 57795}, {14827, 40072}, {15411, 56183}, {23609, 28654}, {36797, 57055}, {36800, 58327}
X(62192) = X(i)-Dao conjugate of X(j) for these (i,j): {10, 30693}, {226, 52406}, {478, 1043}, {1084, 4163}, {1214, 59761}, {6609, 333}, {15267, 2321}, {17113, 28660}, {32664, 56182}, {36908, 312}, {38986, 4130}, {38996, 4105}, {40586, 5423}, {40590, 341}, {40591, 30681}, {40600, 728}, {40611, 346}, {40622, 52622}, {40627, 4081}, {50497, 3119}, {55053, 58329}, {55060, 3239}, {59608, 3596}
X(62192) = trilinear pole of line {7250, 51641}
X(62192) = crossdifference of every pair of points on line {4105, 4163}
X(62192) = barycentric product X(i)*X(j) for these {i,j}: {7, 1042}, {10, 7023}, {34, 1439}, {37, 738}, {42, 479}, {56, 3668}, {57, 1427}, {58, 6046}, {65, 269}, {73, 1119}, {77, 1426}, {81, 7147}, {86, 7143}, {213, 23062}, {225, 7053}, {226, 1407}, {273, 1410}, {278, 52373}, {279, 1400}, {307, 1398}, {321, 7366}, {349, 52410}, {512, 4626}, {523, 6614}, {604, 1446}, {608, 56382}, {651, 7216}, {658, 7180}, {661, 4617}, {664, 7250}, {669, 52937}, {798, 36838}, {934, 4017}, {1014, 1254}, {1020, 3669}, {1088, 1402}, {1106, 1441}, {1214, 1435}, {1245, 7197}, {1262, 53545}, {1396, 37755}, {1409, 1847}, {1412, 6354}, {1461, 7178}, {1474, 20618}, {1880, 7177}, {1918, 57880}, {2333, 30682}, {3120, 7339}, {3122, 59457}, {3676, 53321}, {4516, 24013}, {4551, 43932}, {4559, 58817}, {4566, 43924}, {4569, 51641}, {4637, 57185}, {6611, 8808}, {7045, 53540}, {7056, 57652}, {7099, 40149}, {8809, 40933}, {10376, 56328}, {21044, 23971}, {32714, 51664}, {40961, 56359}
X(62192) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 56182}, {37, 30693}, {42, 5423}, {56, 1043}, {65, 341}, {71, 30681}, {73, 1265}, {109, 7256}, {181, 4082}, {213, 728}, {226, 59761}, {269, 314}, {279, 28660}, {479, 310}, {512, 4163}, {603, 1792}, {604, 2287}, {608, 2322}, {651, 7258}, {667, 58329}, {669, 4105}, {738, 274}, {798, 4130}, {934, 7257}, {1020, 646}, {1042, 8}, {1088, 40072}, {1106, 21}, {1119, 44130}, {1214, 52406}, {1254, 3701}, {1395, 4183}, {1397, 2328}, {1398, 29}, {1400, 346}, {1402, 200}, {1407, 333}, {1408, 1098}, {1409, 3692}, {1410, 78}, {1412, 7058}, {1415, 7259}, {1425, 3710}, {1426, 318}, {1427, 312}, {1435, 31623}, {1439, 3718}, {1446, 28659}, {1461, 645}, {1880, 7101}, {1918, 480}, {1924, 57180}, {2205, 6602}, {2206, 6061}, {3121, 3119}, {3122, 4081}, {3668, 3596}, {4017, 4397}, {4559, 6558}, {4617, 799}, {4626, 670}, {4637, 4631}, {6046, 313}, {6354, 30713}, {6611, 27398}, {6614, 99}, {7023, 86}, {7053, 332}, {7099, 1812}, {7143, 10}, {7147, 321}, {7178, 52622}, {7180, 3239}, {7197, 44154}, {7216, 4391}, {7250, 522}, {7339, 4600}, {7366, 81}, {8034, 23615}, {10376, 4385}, {16947, 7054}, {20618, 40071}, {21750, 28070}, {23062, 6385}, {23971, 4620}, {36838, 4602}, {40933, 52346}, {40934, 4012}, {43924, 7253}, {43932, 18155}, {51641, 3900}, {51664, 15416}, {52373, 345}, {52410, 284}, {52411, 2327}, {52937, 4609}, {53321, 3699}, {53540, 24026}, {53545, 23978}, {56382, 57919}, {57181, 1021}, {57652, 7046}, {61052, 52335}
{X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {57, 34497, 37666}, {1407, 6611, 604}, {1407, 7023, 7366}, {1427, 52373, 1400}

X(62193) = X(6)X(31)∩X(25)X(58285)

X(62193) lies on these lines: {6, 31}, {25, 58285}, {35, 2979}, {238, 34611}, {602, 37622}, {748, 11235}, {2251, 52370}, {3924, 5697}, {4557, 61367}, {11680, 17123}, {17122, 29661}, {37563, 54418}

X(62194) = X(2)X(5033)∩X(32)X(184)

X(62194) lies on these lines: {2, 5033}, {6, 9909}, {22, 5028}, {25, 1692}, {32, 184}, {39, 3796}, {51, 39764}, {115, 31383}, {154, 1196}, {182, 1915}, {187, 394}, {193, 33632}, {251, 11003}, {574, 22352}, {577, 9233}, {1184, 26864}, {1194, 6800}, {1397, 14599}, {1495, 34481}, {1570, 33586}, {1611, 8780}, {1613, 41412}, {1627, 9544}, {1691, 9306}, {1974, 3080}, {2056, 59232}, {3053, 3167}, {3124, 44082}, {3291, 35264}, {3767, 11206}, {3917, 5206}, {5012, 5034}, {5017, 34986}, {5039, 14153}, {5052, 11402}, {5371, 44104}, {5475, 37649}, {5477, 6515}, {6353, 6388}, {7737, 11427}, {8041, 15515}, {8779, 46432}, {9604, 13345}, {10328, 17130}, {14600, 33581}, {15080, 34945}, {17409, 34397}, {20859, 35268}, {23216, 33728}, {30747, 33796}, {32661, 41619}, {32729, 51819}, {33651, 39141}, {36417, 44077}, {40130, 44108}, {40146, 41272}, {40320, 41615}, {54276, 57206}

X(62194) = isogonal conjugate of the isotomic conjugate of X(3053)
X(62194) = isogonal conjugate of the polar conjugate of X(19118)
X(62194) = X(i)-Ceva conjugate of X(j) for these (i,j): {1974, 32}, {33632, 3053}, {47390, 14574}
X(62194) = X(i)-isoconjugate of X(j) for these (i,j): {75, 2996}, {76, 8769}, {92, 6340}, {304, 34208}, {561, 8770}, {1502, 38252}, {1577, 35136}, {1928, 53059}, {1969, 6391}, {3565, 20948}, {14248, 40364}, {18156, 57857}, {57806, 60839}
X(62194) = X(i)-Dao conjugate of X(j) for these (i,j): {69, 40050}, {206, 2996}, {15261, 57857}, {15525, 44173}, {22391, 6340}, {40368, 8770}, {40369, 53059}, {51579, 1502}
X(62194) = barycentric product X(i)*X(j) for these {i,j}: {3, 19118}, {6, 3053}, {25, 3167}, {31, 1707}, {32, 193}, {39, 33632}, {110, 8651}, {184, 6353}, {249, 47430}, {251, 3787}, {439, 53059}, {560, 18156}, {571, 56891}, {669, 57216}, {1333, 21874}, {1501, 57518}, {1576, 3566}, {1611, 53067}, {1974, 6337}, {1976, 59707}, {2175, 17081}, {2206, 4028}, {2207, 10607}, {3798, 32739}, {5139, 47390}, {6091, 44102}, {6388, 23357}, {10547, 41584}, {14575, 54412}, {14585, 21447}, {14601, 51374}, {17876, 23995}, {21970, 58941}, {32459, 32740}, {32661, 57071}, {41588, 54034}
X(62194) = barycentric quotient X(i)/X(j) for these {i,j}: {32, 2996}, {184, 6340}, {193, 1502}, {560, 8769}, {1501, 8770}, {1576, 35136}, {1707, 561}, {1917, 38252}, {1974, 34208}, {3053, 76}, {3167, 305}, {3566, 44173}, {3787, 8024}, {6337, 40050}, {6353, 18022}, {6388, 23962}, {8651, 850}, {9233, 53059}, {14574, 3565}, {14575, 6391}, {14585, 60839}, {17081, 41283}, {18156, 1928}, {19118, 264}, {21874, 27801}, {27369, 47730}, {33632, 308}, {40373, 40319}, {40981, 27364}, {44162, 14248}, {47430, 338}, {53059, 57857}, {54412, 44161}, {56891, 57904}, {57216, 4609}, {57518, 40362}
X(62194) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {154, 40825, 1196}, {184, 1501, 32}, {1495, 42295, 34481}, {1501, 14567, 184}, {3053, 3167, 3787}, {32729, 61384, 51819}, {44077, 61206, 36417}

X(62195) = X(2)X(36430)∩X(4)X(6)

X(62195) lies on these lines: {2, 36430}, {4, 6}, {30, 61301}, {216, 5056}, {232, 15302}, {297, 21356}, {340, 11160}, {376, 61307}, {472, 49812}, {473, 49813}, {577, 5059}, {1656, 42459}, {1785, 16676}, {2052, 56270}, {3003, 33885}, {3088, 53096}, {3146, 61314}, {3163, 50687}, {3284, 3543}, {3517, 41758}, {3533, 36751}, {3545, 52703}, {3832, 5158}, {3839, 18487}, {3858, 59649}, {5068, 36412}, {5206, 37460}, {5304, 41358}, {6103, 52301}, {6525, 44106}, {7487, 35007}, {7735, 10301}, {7747, 46257}, {8737, 61370}, {8738, 61371}, {8796, 11547}, {8882, 46208}, {9722, 44959}, {10979, 61834}, {11063, 47485}, {11331, 56022}, {15682, 36427}, {15851, 61975}, {15905, 62036}, {20582, 52283}, {22052, 62110}, {34818, 46217}, {36748, 62127}, {38292, 62016}, {43981, 44134}, {45312, 52711}, {46204, 52952}, {47144, 56369}, {48310, 52288}, {52282, 56021}, {52290, 59229}, {52704, 61924}, {52707, 62003}, {59657, 62026}, {61306, 62148}, {61312, 62063}

X(62195) = polar conjugate of the isotomic conjugate of X(3545)
X(62195) = X(255)-isoconjugate of X(60193)
X(62195) = X(6523)-Dao conjugate of X(60193)
X(62195) = barycentric product X(i)*X(j) for these {i,j}: {4, 3545}, {2052, 52703}
X(62195) = barycentric quotient X(i)/X(j) for these {i,j}: {393, 60193}, {3545, 69}, {52703, 394}
X(62195) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4, 393, 40138}, {4, 1249, 6749}, {4, 40138, 3087}, {36430, 52945, 61315}, {52945, 61315, 2}

X(62196) = X(2)X(36430)∩X(3)X(6)

X(62196) lies on these lines: {2, 36430}, {3, 6}, {23, 10314}, {53, 3628}, {232, 40916}, {233, 3091}, {381, 52704}, {393, 10303}, {418, 61347}, {441, 48310}, {548, 6749}, {549, 1990}, {632, 42459}, {1249, 61807}, {3087, 50693}, {3090, 36412}, {3163, 3524}, {3523, 61307}, {3525, 61314}, {3549, 12815}, {3815, 10300}, {5054, 18487}, {5159, 47169}, {5702, 15698}, {6641, 44110}, {6643, 31417}, {6748, 15704}, {7492, 10311}, {7496, 22240}, {11062, 49671}, {15526, 21356}, {15692, 61301}, {15717, 40138}, {16328, 37950}, {17849, 50414}, {20477, 58454}, {22165, 40996}, {26880, 32078}, {26907, 44106}, {31626, 56266}, {34828, 51127}, {36422, 36431}, {36427, 61781}, {40065, 62084}, {47383, 52712}, {59649, 61810}, {59657, 61802}

X(62196) = isogonal conjugate of the polar conjugate of X(5055)
X(62196) = barycentric product X(3)*X(5055)
X(62196) = barycentric quotient X(5055)/X(264)
X(62196) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 52945, 61327}, {2, 61327, 61340}, {3, 216, 5158}, {3, 5158, 577}, {3, 52703, 3284}, {216, 3284, 52703}, {216, 10979, 577}, {216, 36751, 10979}, {574, 3003, 33871}, {3003, 33871, 58265}, {3284, 52703, 5158}, {5158, 10979, 3}, {36430, 61340, 61327}, {52945, 61327, 36430}

X(62197) = X(2)X(6)∩X(14)X(187)

X(62197) lies on these lines: {2, 6}, {14, 187}, {15, 20426}, {16, 115}, {18, 32}, {50, 30465}, {61, 7749}, {62, 7746}, {381, 43452}, {383, 53442}, {574, 16242}, {617, 53469}, {627, 53452}, {1506, 42489}, {1691, 6114}, {1989, 52039}, {2076, 53443}, {2963, 8604}, {3053, 42153}, {3094, 22714}, {3132, 8553}, {3767, 42149}, {5013, 43239}, {5023, 5339}, {5052, 33479}, {5104, 6109}, {5206, 16964}, {5210, 42154}, {5237, 7748}, {5254, 16773}, {5309, 41944}, {5351, 7756}, {5471, 16268}, {5472, 22998}, {5475, 37835}, {5585, 42626}, {5613, 6782}, {6108, 11646}, {6672, 22689}, {6772, 13084}, {6773, 53430}, {6775, 45880}, {6781, 36970}, {7603, 16967}, {7617, 12155}, {7685, 22512}, {7737, 18581}, {7745, 42599}, {8588, 36967}, {9112, 16530}, {9113, 16961}, {9115, 50858}, {9117, 22496}, {9886, 22574}, {10653, 43620}, {10654, 21843}, {11063, 38432}, {11087, 30453}, {11308, 53463}, {11481, 44465}, {11543, 19781}, {11549, 47275}, {12815, 42992}, {13881, 22238}, {14180, 15546}, {14537, 49908}, {15048, 42121}, {15484, 42129}, {15513, 42157}, {15815, 42491}, {15930, 46343}, {16808, 39601}, {16941, 53455}, {16965, 39565}, {18362, 41100}, {18424, 36969}, {22236, 44535}, {22702, 33478}, {22893, 53458}, {31415, 42910}, {31455, 42937}, {32461, 47142}, {35918, 44532}, {35932, 53447}, {36843, 44518}, {37457, 51891}, {37463, 53431}, {37464, 39560}, {39555, 47860}, {41094, 47859}, {42093, 44463}, {42913, 43291}, {42943, 53419}, {43451, 48655}, {43543, 46453}, {44219, 53499}, {47229, 57122}, {48356, 57622}, {51485, 53435}, {53446, 59379}

X(62197) = crossdifference of every pair of points on line {512, 13350}
X(62197) = barycentric product X(523)*X(14187)
X(62197) = barycentric quotient X(14187)/X(99)
X(62197) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {16, 22891, 23005}, {230, 395, 6}, {395, 396, 37785}, {590, 615, 302}, {7735, 11489, 61331}, {7735, 61331, 6}, {7736, 61318, 6}, {16268, 41407, 5471}, {23303, 51126, 43028}, {37835, 41406, 5475}

X(62198) = X(2)X(6)∩X(13)X(187)

X(62198) lies on these lines: {2, 6}, {13, 187}, {15, 115}, {16, 20425}, {17, 32}, {50, 30468}, {61, 7746}, {62, 7749}, {381, 43451}, {574, 16241}, {616, 53458}, {628, 53463}, {1080, 53430}, {1506, 42488}, {1691, 6115}, {1989, 52040}, {2076, 53431}, {2963, 8603}, {3053, 42156}, {3094, 22715}, {3131, 8553}, {3767, 42152}, {5013, 43238}, {5023, 5340}, {5052, 33478}, {5104, 6108}, {5206, 16965}, {5210, 42155}, {5238, 7748}, {5254, 16772}, {5309, 41943}, {5352, 7756}, {5471, 22997}, {5472, 16267}, {5475, 37832}, {5585, 42625}, {5617, 6783}, {6109, 11646}, {6671, 22687}, {6770, 53442}, {6772, 45879}, {6775, 13083}, {6781, 36969}, {7603, 16966}, {7617, 12154}, {7684, 22513}, {7737, 18582}, {7745, 42598}, {8588, 36968}, {9112, 16960}, {9113, 16529}, {9115, 22495}, {9117, 50855}, {9885, 22573}, {10653, 21843}, {10654, 43620}, {11063, 38431}, {11082, 30452}, {11307, 53452}, {11480, 44461}, {11537, 47275}, {11542, 19780}, {12815, 42993}, {13881, 22236}, {14174, 15546}, {14537, 49907}, {15048, 42124}, {15484, 42132}, {15513, 42158}, {15815, 42490}, {15929, 46342}, {16809, 39601}, {16940, 53466}, {16964, 39565}, {18362, 41101}, {18424, 36970}, {22238, 44535}, {22701, 33479}, {22847, 53469}, {31415, 42911}, {31455, 42936}, {32460, 47141}, {35917, 44532}, {35931, 53435}, {36836, 44518}, {37457, 51890}, {37463, 39560}, {37464, 53443}, {39554, 47859}, {41098, 47860}, {42094, 44459}, {42912, 43291}, {42942, 53419}, {43452, 48656}, {43542, 46453}, {47229, 57123}, {48354, 57621}, {51484, 53447}, {53434, 59378}

X(62198) = crossdifference of every pair of points on line {512, 13349}
X(62198) = barycentric product X(523)*X(14185)
X(62198) = barycentric quotient X(14185)/X(99)
X(62198) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {15, 22846, 23004}, {230, 396, 6}, {395, 396, 37786}, {590, 615, 303}, {7735, 11488, 61332}, {7735, 61332, 6}, {7736, 61317, 6}, {16267, 41406, 5472}, {23302, 51126, 43029}, {37832, 41407, 5475}

X(62199) = X(2)X(6)∩X(14)X(32)

X(62199) lies on these lines: {2, 6}, {3, 43455}, {14, 32}, {16, 5309}, {18, 5007}, {30, 19780}, {39, 16242}, {62, 6774}, {115, 36969}, {187, 36967}, {194, 30472}, {231, 40580}, {383, 59232}, {398, 52689}, {616, 53428}, {1080, 53465}, {1691, 6108}, {1692, 51200}, {1989, 3457}, {2165, 34533}, {2548, 42910}, {3003, 40578}, {3053, 42154}, {3767, 10653}, {5023, 42626}, {5041, 43200}, {5206, 42529}, {5215, 36775}, {5237, 7765}, {5254, 42943}, {5305, 42913}, {5319, 42149}, {5339, 22331}, {5615, 43454}, {5979, 41751}, {6034, 6109}, {6103, 8739}, {6299, 41641}, {6581, 25187}, {6582, 6772}, {6770, 35006}, {6771, 36757}, {7746, 37832}, {7753, 37835}, {9607, 42944}, {9698, 42937}, {10613, 21156}, {10654, 19781}, {11063, 34008}, {11300, 53440}, {11648, 36968}, {14136, 59403}, {14537, 16809}, {16808, 18362}, {16964, 35007}, {19106, 39563}, {22332, 42491}, {22511, 36759}, {22847, 53429}, {32553, 41745}, {33420, 51754}, {34394, 61370}, {36970, 41408}, {36978, 61675}, {39554, 46855}, {39663, 41039}, {41108, 41409}, {43291, 43416}, {43401, 53419}, {43482, 46453}, {54489, 54589}, {54850, 54939}

X(62199) = complement of the isotomic conjugate of X(54484)
X(62199) = X(54484)-complementary conjugate of X(2887)
X(62199) = crossdifference of every pair of points on line {512, 36756}
X(62199) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 61318, 6}, {62, 22510, 20425}, {395, 396, 298}, {395, 5306, 6}, {3068, 3069, 40900}, {5304, 61331, 6}, {7735, 37641, 61317}, {37641, 61317, 6}

X(62200) = X(2)X(6)∩X(13)X(32)

X(62200) lies on these lines: {2, 6}, {3, 43454}, {13, 32}, {15, 5309}, {17, 5007}, {30, 19781}, {39, 16241}, {61, 6771}, {115, 36970}, {187, 36968}, {194, 30471}, {231, 40581}, {383, 53454}, {397, 52688}, {617, 53440}, {1080, 59232}, {1691, 6109}, {1692, 51203}, {1989, 3458}, {2165, 34534}, {2548, 42911}, {3003, 40579}, {3053, 42155}, {3767, 10654}, {5023, 42625}, {5041, 43199}, {5206, 42528}, {5238, 7765}, {5254, 42942}, {5305, 42912}, {5319, 42152}, {5340, 22331}, {5611, 43455}, {5978, 41753}, {6034, 6108}, {6103, 8740}, {6294, 25183}, {6295, 6775}, {6298, 41631}, {6773, 35006}, {6774, 36758}, {7746, 37835}, {7753, 37832}, {9607, 42945}, {9698, 42936}, {10614, 21157}, {10653, 19780}, {11063, 34009}, {11299, 53428}, {11648, 36967}, {14137, 59404}, {14537, 16808}, {16530, 36763}, {16809, 18362}, {16965, 35007}, {19107, 39563}, {22332, 42490}, {22510, 36760}, {22893, 53441}, {32552, 41746}, {33421, 51753}, {34395, 61371}, {36969, 41409}, {36980, 61675}, {39555, 46854}, {39663, 41038}, {41107, 41408}, {43291, 43417}, {43402, 53419}, {43481, 46453}, {54490, 54590}, {54849, 54940}

X(62200) = complement of the isotomic conjugate of X(54485)
X(62200) = X(54485)-complementary conjugate of X(2887)
X(62200) = crossdifference of every pair of points on line {512, 36755}
X(62200) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 61317, 6}, {61, 22511, 20426}, {395, 396, 299}, {396, 5306, 6}, {3068, 3069, 40901}, {5304, 61332, 6}, {7735, 37640, 61318}, {37640, 61318, 6}

X(62201) = X(2)X(6)∩X(3)X(49220)

X(62201) lies on these lines:: {2, 6}, {3, 49220}, {4, 12963}, {5, 6424}, {32, 485}, {39, 5418}, {53, 52291}, {115, 6561}, {140, 6421}, {172, 31472}, {187, 6560}, {216, 24245}, {371, 3767}, {486, 5058}, {487, 53480}, {494, 55878}, {640, 13921}, {1151, 5254}, {1196, 18289}, {1328, 18362}, {1384, 13665}, {1504, 7755}, {1505, 5420}, {1587, 12968}, {1609, 3155}, {1691, 6811}, {1692, 45554}, {1914, 44623}, {2165, 6413}, {2548, 10576}, {2549, 6200}, {3053, 3070}, {3071, 12257}, {3128, 6748}, {3148, 44192}, {3311, 49221}, {3534, 49262}, {4386, 31484}, {5007, 31481}, {5023, 42259}, {5206, 42261}, {5286, 9540}, {5305, 6422}, {5319, 31465}, {5475, 42277}, {6119, 45575}, {6396, 21843}, {6423, 7583}, {6564, 7737}, {6565, 43620}, {6776, 53498}, {6781, 42276}, {7388, 44586}, {7745, 42265}, {7747, 42269}, {7748, 42260}, {7753, 42602}, {7765, 9674}, {8375, 42215}, {8573, 8970}, {8754, 41516}, {8960, 31411}, {8976, 30435}, {8992, 13357}, {9541, 43448}, {9600, 15048}, {9602, 41945}, {9646, 54416}, {9661, 16502}, {9722, 26945}, {9738, 39661}, {9892, 11157}, {10577, 45514}, {11292, 53479}, {11648, 53130}, {12969, 13935}, {13654, 49264}, {13749, 14244}, {13884, 16318}, {13901, 31459}, {13951, 44648}, {18538, 18907}, {19438, 32494}, {21309, 45384}, {22331, 53513}, {23267, 46453}, {24246, 35067}, {31401, 45513}, {31448, 31499}, {33343, 49215}, {35822, 41411}, {37446, 45406}, {39565, 42268}, {39660, 43120}, {40947, 44193}, {42258, 44518}, {42263, 53419}, {42274, 61389}, {44534, 49212}, {45511, 53475}, {53512, 58803}

X(62201) = complement of the isotomic conjugate of X(14244)
X(62201) = X(14244)-complementary conjugate of X(2887)
X(62201) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 44596, 6}, {6, 590, 31463}, {6, 8253, 3815}, {6, 37637, 615}, {69, 3068, 44394}, {115, 9675, 6561}, {395, 396, 1991}, {590, 615, 45473}, {591, 13663, 44393}, {615, 44394, 69}, {1505, 7749, 5420}, {3068, 7735, 6}, {5058, 7746, 486}, {5304, 8972, 31403}, {5304, 31403, 6}, {5305, 8981, 6422}, {5319, 35812, 31465}, {5420, 19105, 1505}, {6561, 13711, 115}, {6564, 41410, 7737}, {7585, 37689, 44595}, {7585, 44595, 6}, {15048, 35255, 9600}, {44594, 61322, 6}

X(62202) = X(2)X(6)∩X(3)X(49221)

X(62202) lies on these lines:: {2, 6}, {3, 49221}, {4, 12968}, {5, 6423}, {32, 486}, {39, 5420}, {53, 5200}, {115, 6560}, {140, 6422}, {172, 44622}, {187, 6561}, {216, 24246}, {372, 3767}, {485, 5062}, {488, 53479}, {493, 55865}, {549, 9600}, {639, 13880}, {1152, 5254}, {1196, 18290}, {1327, 18362}, {1384, 13785}, {1504, 5418}, {1505, 7755}, {1588, 12963}, {1609, 3156}, {1691, 6813}, {1692, 45555}, {1914, 44624}, {2165, 6414}, {2548, 10577}, {2549, 6396}, {3053, 3071}, {3070, 12256}, {3127, 6748}, {3148, 44193}, {3312, 49220}, {3526, 31465}, {3534, 49261}, {4999, 31464}, {5023, 42258}, {5206, 42260}, {5286, 13935}, {5305, 6421}, {5319, 35813}, {5432, 31459}, {5475, 42274}, {6118, 45574}, {6200, 21843}, {6424, 7584}, {6564, 43620}, {6565, 7737}, {6776, 53497}, {6781, 42275}, {7389, 44587}, {7745, 42262}, {7747, 42268}, {7748, 42261}, {7753, 42603}, {8376, 42216}, {8573, 13943}, {8754, 41515}, {8976, 44647}, {9540, 12962}, {9722, 26873}, {9739, 39660}, {9894, 11158}, {10576, 31411}, {11291, 53480}, {11648, 53131}, {13357, 13983}, {13748, 14229}, {13774, 49265}, {13937, 16318}, {13951, 30435}, {15048, 35256}, {18762, 18907}, {19439, 32497}, {21309, 45385}, {22331, 53516}, {23273, 46453}, {24245, 35067}, {31401, 45512}, {33342, 49214}, {35823, 41410}, {37446, 45407}, {39565, 42269}, {39661, 43121}, {40947, 44192}, {42259, 44518}, {42264, 53419}, {42277, 61388}, {44534, 49213}, {45510, 53475}, {53515, 58804}

X(62202) = complement of the isotomic conjugate of X(14229)
X(62202) = X(14229)-complementary conjugate of X(2887)
X(62202) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 6, 31463}, {2, 44595, 6}, {2, 61322, 31403}, {6, 8252, 3815}, {6, 37637, 590}, {69, 3069, 44392}, {395, 396, 591}, {590, 615, 45472}, {590, 44392, 69}, {1504, 7749, 5418}, {1991, 13783, 44400}, {3069, 7735, 6}, {5062, 7746, 485}, {5305, 13966, 6421}, {5418, 19102, 1504}, {6560, 13834, 115}, {6565, 41411, 7737}, {7586, 37689, 44596}, {7586, 44596, 6}, {10576, 45515, 31411}, {31403, 44595, 61322}, {31403, 61322, 6}, {44597, 61323, 6}

X(62203) = X(4)X(32)∩X(30)X(574)

X(62203) lies on these lines:: {2, 6781}, {3, 7603}, {4, 32}, {5, 5206}, {6, 3830}, {20, 1506}, {23, 6032}, {25, 15820}, {30, 574}, {39, 382}, {50, 61327}, {53, 46257}, {69, 44678}, {76, 14042}, {83, 7872}, {99, 7775}, {148, 7798}, {172, 18514}, {182, 53504}, {183, 3849}, {187, 381}, {230, 3845}, {232, 35480}, {262, 54482}, {315, 14068}, {316, 3314}, {376, 31415}, {378, 9699}, {384, 7825}, {385, 18546}, {428, 34481}, {543, 7774}, {546, 7746}, {550, 31455}, {571, 9220}, {576, 6321}, {598, 3329}, {620, 33007}, {625, 1003}, {626, 14035}, {671, 7766}, {754, 11185}, {1007, 2482}, {1015, 12943}, {1078, 33018}, {1196, 33880}, {1384, 14269}, {1500, 12953}, {1504, 35821}, {1505, 35820}, {1539, 14901}, {1569, 10723}, {1648, 34417}, {1656, 15513}, {1657, 37512}, {1692, 53023}, {1870, 9636}, {1914, 18513}, {1975, 7843}, {1995, 39602}, {2021, 22682}, {2079, 7545}, {2241, 3585}, {2242, 3583}, {2548, 3146}, {2549, 3543}, {3018, 36430}, {3053, 3843}, {3054, 5066}, {3055, 8703}, {3091, 7749}, {3094, 48904}, {3095, 38733}, {3180, 35693}, {3181, 35697}, {3199, 12173}, {3363, 58446}, {3529, 31401}, {3534, 8589}, {3545, 21843}, {3552, 7862}, {3627, 7745}, {3788, 19687}, {3818, 15993}, {3839, 43620}, {3851, 5023}, {3853, 5254}, {3854, 12815}, {3972, 7844}, {4045, 33017}, {4302, 31476}, {5007, 5076}, {5008, 38335}, {5013, 5073}, {5017, 48889}, {5024, 15684}, {5028, 48901}, {5033, 19130}, {5034, 29012}, {5041, 62016}, {5052, 36990}, {5054, 18584}, {5055, 5210}, {5058, 23251}, {5059, 31404}, {5062, 23261}, {5063, 18325}, {5072, 44535}, {5104, 11178}, {5107, 54131}, {5116, 48896}, {5158, 18323}, {5162, 13449}, {5198, 44527}, {5286, 50688}, {5304, 62007}, {5305, 12102}, {5306, 12101}, {5309, 15687}, {5346, 62006}, {5355, 14075}, {5471, 10653}, {5472, 10654}, {5476, 53499}, {5477, 20423}, {5480, 39764}, {5585, 15694}, {5987, 52189}, {6128, 58265}, {6284, 9650}, {6292, 32971}, {6564, 9675}, {6655, 7808}, {6658, 7752}, {6680, 14063}, {6683, 33234}, {6722, 33006}, {6748, 46432}, {6759, 9697}, {7354, 9665}, {7391, 59768}, {7615, 37667}, {7617, 17004}, {7622, 9855}, {7736, 15682}, {7738, 62028}, {7739, 62017}, {7751, 7823}, {7758, 32826}, {7759, 32819}, {7761, 8370}, {7763, 33280}, {7765, 17578}, {7769, 33257}, {7770, 7842}, {7771, 33013}, {7773, 7816}, {7778, 11159}, {7781, 7785}, {7782, 19696}, {7786, 33256}, {7787, 7902}, {7792, 8352}, {7793, 15031}, {7794, 32006}, {7800, 32979}, {7802, 7815}, {7803, 33279}, {7804, 7841}, {7809, 7908}, {7813, 32815}, {7820, 14033}, {7828, 14062}, {7830, 16924}, {7832, 14034}, {7833, 15482}, {7834, 33229}, {7835, 19686}, {7853, 11286}, {7857, 32993}, {7860, 7896}, {7863, 32816}, {7865, 7898}, {7869, 7885}, {7889, 32974}, {7900, 7916}, {7911, 7914}, {7924, 60855}, {7925, 48913}, {7942, 14045}, {8176, 8598}, {8354, 15491}, {8722, 37348}, {8981, 9685}, {9112, 16964}, {9113, 16965}, {9115, 22491}, {9117, 22492}, {9300, 33699}, {9541, 9684}, {9602, 45384}, {9605, 62023}, {9606, 62038}, {9674, 42266}, {9696, 13352}, {9698, 33703}, {9737, 38730}, {9770, 15300}, {9831, 53950}, {10254, 18429}, {10296, 22240}, {10733, 46301}, {11163, 32479}, {11173, 47353}, {11184, 50280}, {11288, 31275}, {11614, 15703}, {11742, 15602}, {12963, 35786}, {12968, 35787}, {13102, 51206}, {13103, 51207}, {13330, 38744}, {13881, 35007}, {14160, 47113}, {14458, 54903}, {14482, 62021}, {14492, 54805}, {14614, 32457}, {14711, 40341}, {14848, 53845}, {14893, 43291}, {14907, 33016}, {14930, 62018}, {14971, 37809}, {15338, 31501}, {15603, 61925}, {15655, 19709}, {15681, 53095}, {15815, 17800}, {16946, 53421}, {18494, 33842}, {18500, 44530}, {19220, 44288}, {20425, 23013}, {20426, 23006}, {21309, 35403}, {22253, 41750}, {22331, 61991}, {22332, 62035}, {22693, 36994}, {22694, 36992}, {22796, 43452}, {22797, 43451}, {23334, 37668}, {28150, 31398}, {28154, 31443}, {29323, 50659}, {30435, 62008}, {30747, 31132}, {31274, 32985}, {31400, 49135}, {31406, 62041}, {31417, 49138}, {31450, 50692}, {31457, 62155}, {31463, 42275}, {31467, 49137}, {31481, 42258}, {31492, 62170}, {31652, 44519}, {32445, 34786}, {33002, 43459}, {33267, 53107}, {33843, 44438}, {34229, 47102}, {34506, 53127}, {34733, 43453}, {36412, 46262}, {37688, 47101}, {37689, 61989}, {37924, 44521}, {39554, 41098}, {39555, 41094}, {40246, 52691}, {41745, 51483}, {41746, 51482}, {41748, 47286}, {42085, 61332}, {42086, 61331}, {42160, 61319}, {42161, 61320}, {46305, 52854}, {46453, 61980}, {48898, 53484}, {51993, 56395}, {52666, 61328}, {52667, 61329}

X(62203) = reflection of X(i) in X(j) for these {i,j}: {574, 5475}, {5475, 53418}, {8722, 37348}, {17131, 11185}
X(62203) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 6781, 8588}, {2, 43618, 6781}, {4, 7737, 115}, {4, 7747, 32}, {4, 10788, 14639}, {20, 1506, 15515}, {83, 33019, 7872}, {115, 7737, 32}, {115, 7747, 7737}, {148, 7812, 7798}, {187, 39601, 37637}, {230, 3845, 18424}, {230, 18424, 18362}, {316, 3734, 7818}, {316, 11361, 3734}, {381, 37637, 39601}, {382, 15484, 44526}, {384, 7825, 7867}, {1975, 7843, 7903}, {2548, 3146, 7756}, {2548, 7756, 53096}, {3053, 3843, 39565}, {3534, 31489, 8589}, {3627, 7745, 7748}, {3767, 7737, 1285}, {3830, 14537, 11648}, {3972, 14041, 7844}, {6781, 43457, 2}, {7736, 15682, 43619}, {7745, 7748, 7772}, {7770, 7842, 7935}, {7773, 7816, 7888}, {7802, 16044, 7815}, {7804, 7841, 7913}, {7860, 17128, 7896}, {15484, 44526, 39}, {15687, 18907, 53419}, {18907, 53419, 5309}, {43457, 43618, 8588}, {47859, 47860, 576}

X(62204) = X(2)X(6)∩X(32)X(671)

X(62204) lies on these lines:: {2, 6}, {32, 671}, {98, 54737}, {187, 32480}, {194, 2482}, {381, 22521}, {598, 5008}, {1285, 52942}, {1383, 18818}, {1384, 9855}, {2408, 46001}, {2452, 37907}, {3552, 8591}, {3767, 34604}, {5007, 33002}, {5305, 7833}, {5309, 10631}, {5319, 33004}, {5346, 7793}, {5355, 52691}, {5368, 34506}, {5461, 7755}, {6179, 7817}, {6784, 11002}, {7607, 22330}, {7617, 33689}, {7668, 31857}, {7737, 41135}, {7753, 32994}, {7757, 11149}, {7798, 41134}, {7805, 7870}, {7810, 7856}, {7857, 22247}, {7883, 7932}, {7893, 8360}, {7900, 11318}, {7920, 8359}, {8369, 20081}, {8587, 13330}, {8596, 33007}, {9214, 14002}, {9465, 51541}, {9753, 11177}, {10486, 11482}, {10788, 11632}, {11172, 60105}, {11285, 51588}, {11317, 21309}, {12156, 18362}, {14036, 59780}, {15520, 58831}, {16092, 60695}, {16509, 53489}, {16924, 18842}, {17129, 33237}, {19661, 47286}, {20088, 33006}, {23234, 51140}, {30435, 33013}, {33001, 55794}, {33683, 33687}, {33706, 43147}, {40246, 43448}, {42535, 54487}, {43454, 51485}, {43455, 51484}, {43535, 54901}, {47586, 60113}, {54964, 61822}

X(62204) = reflection of X(i) in X(j) for these {i,j}: {2, 7806}, {7897, 2}
X(62204) = barycentric product X(i)*X(j) for these {i,j}: {598, 33683}, {33687, 60177}
X(62204) = barycentric quotient X(33683)/X(599)
X(62204) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 193, 41136}, {6, 8859, 2}, {3329, 7610, 2}, {5032, 37689, 2}, {6179, 7817, 9939}, {7817, 9939, 7933}, {8591, 37809, 3552}, {17008, 59373, 2}

X(62205) = X(3)X(6)∩X(115)X(615)

X(62205) lies on these lines:: {2, 60195}, {3, 6}, {115, 615}, {230, 35256}, {485, 31455}, {486, 7748}, {492, 7761}, {494, 5406}, {641, 32490}, {1015, 5414}, {1124, 31451}, {1377, 31456}, {1500, 6502}, {1506, 3070}, {1569, 49213}, {1571, 18992}, {1587, 31401}, {1588, 45525}, {1702, 31422}, {1703, 9619}, {2548, 6460}, {2549, 3069}, {3055, 18538}, {3071, 7756}, {3199, 11474}, {3269, 21641}, {3767, 13935}, {3785, 6463}, {3815, 42216}, {3917, 32575}, {5254, 13966}, {5413, 33843}, {5420, 7746}, {5475, 6560}, {6561, 13770}, {6564, 7603}, {6781, 61329}, {7586, 26617}, {7735, 43510}, {7739, 44595}, {7747, 42259}, {7749, 49220}, {7753, 41946}, {7755, 41964}, {7765, 49221}, {7853, 45472}, {8703, 61338}, {9300, 52048}, {9541, 44597}, {9597, 13963}, {9598, 13962}, {9651, 44622}, {9664, 44624}, {10577, 39565}, {10820, 14901}, {11648, 13847}, {13665, 31489}, {13785, 44526}, {13941, 43448}, {13951, 44518}, {14930, 61309}, {16041, 32805}, {18424, 42274}, {18762, 48772}, {18995, 31448}, {19003, 31421}, {19103, 31465}, {19356, 39913}, {21843, 44596}, {22725, 44531}, {23249, 31415}, {23259, 43619}, {31400, 31411}, {31449, 31482}, {31450, 31483}, {31472, 31501}, {32152, 49355}, {32786, 43620}, {35820, 39590}, {41437, 41444}, {42226, 53418}, {42258, 44648}, {42283, 48466}, {42284, 43457}, {43210, 49263}, {45421, 47101}, {46301, 49217}, {49208, 52215}, {49210, 52216}

X(62205) = isogonal conjugate of X(54503)
X(62205) = Brocard-circle-inverse of X(9675)
X(62205) = Schoutte-circle-inverse of X(43121)
X(62205) = X(1)-isoconjugate of X(54503)
X(62205) = X(3)-Dao conjugate of X(54503)
X(62205) = barycentric quotient X(6)/X(54503)
X(62205) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 6, 9675}, {3, 1505, 5058}, {3, 35841, 6567}, {6, 6396, 187}, {6, 6411, 8375}, {6, 6438, 8376}, {6, 9675, 5058}, {6, 41411, 5008}, {6, 53095, 6221}, {15, 16, 43121}, {39, 372, 5062}, {372, 45565, 182}, {372, 45578, 6566}, {1152, 6421, 32}, {1505, 9675, 6}, {1587, 31401, 31481}, {3311, 15815, 9674}, {3312, 5013, 1504}, {5024, 6395, 6}, {6410, 6424, 5206}, {6438, 6443, 6}, {6454, 45513, 12968}, {9739, 9995, 39}, {12968, 45513, 5007}, {18995, 31448, 31471}, {19003, 31421, 31437}

X(62206) = X(3)X(6)∩X(115)X(590)

X(62206) lies on these lines:: {1, 31437}, {3, 6}, {4, 31481}, {20, 31411}, {56, 31471}, {115, 590}, {230, 35255}, {485, 7748}, {486, 31455}, {491, 7761}, {493, 5407}, {642, 32491}, {1015, 2066}, {1335, 31451}, {1376, 31482}, {1378, 31456}, {1500, 2067}, {1506, 3071}, {1569, 49212}, {1571, 18991}, {1572, 9616}, {1574, 31453}, {1587, 45524}, {1588, 31401}, {1702, 9619}, {1703, 31422}, {2242, 31459}, {2548, 6459}, {2549, 3068}, {3055, 18762}, {3070, 7756}, {3199, 11473}, {3269, 21640}, {3767, 9540}, {3785, 6462}, {3815, 42215}, {3917, 32568}, {5254, 8981}, {5304, 9542}, {5412, 33843}, {5418, 7746}, {5475, 6561}, {6560, 13651}, {6565, 7603}, {6781, 61328}, {7585, 26618}, {7735, 43509}, {7737, 9541}, {7739, 44596}, {7747, 42258}, {7749, 49221}, {7753, 41945}, {7755, 41963}, {7765, 31454}, {7853, 45473}, {8703, 61337}, {8962, 55566}, {8972, 43448}, {8976, 44518}, {9300, 52047}, {9583, 9620}, {9597, 13905}, {9598, 13904}, {9651, 31472}, {9664, 44623}, {9679, 31464}, {9681, 31465}, {10576, 39565}, {10819, 14901}, {11648, 13846}, {13665, 44526}, {13785, 31489}, {14930, 61308}, {16041, 32806}, {18424, 42277}, {18538, 48773}, {18996, 31448}, {19004, 31421}, {19355, 39913}, {21843, 44595}, {22724, 44531}, {23249, 43619}, {23259, 31415}, {31501, 44622}, {32152, 49356}, {32785, 43620}, {35821, 39590}, {41438, 41445}, {42225, 53418}, {42259, 44647}, {42283, 43457}, {42284, 48467}, {43209, 49260}, {45420, 47101}, {46301, 49216}, {49209, 52214}, {49211, 52217}

X(62206) = isogonal conjugate of X(54507)
X(62206) = Schoutte-circle-inverse of X(43120)
X(62206) = X(1)-isoconjugate of X(54507)
X(62206) = X(3)-Dao conjugate of X(54507)
X(62206) = barycentric quotient X(6)/X(54507)
X(62206) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 1504, 5062}, {3, 35840, 6566}, {6, 6200, 187}, {6, 6221, 9675}, {6, 6412, 8376}, {6, 6437, 8375}, {6, 9600, 574}, {6, 41410, 5008}, {6, 53095, 6398}, {15, 16, 43120}, {39, 371, 5058}, {371, 45564, 182}, {371, 45579, 6567}, {1151, 6422, 32}, {1504, 9674, 3}, {3053, 9601, 6449}, {3311, 5013, 1505}, {5024, 6199, 6}, {6409, 6423, 5206}, {6437, 6444, 6}, {6453, 45512, 12963}, {6561, 31463, 5475}, {9541, 31403, 7737}, {9583, 31427, 9620}, {9738, 9994, 39}, {12963, 45512, 5007}

X(62207) = X(1)X(7285)∩X(6)X(57)

X(62207) lies on these lines:: {1, 7285}, {6, 57}, {9, 23140}, {41, 7099}, {56, 2308}, {63, 37672}, {73, 4252}, {77, 4641}, {81, 6180}, {154, 26892}, {212, 50677}, {220, 394}, {221, 2099}, {278, 17365}, {323, 55466}, {524, 56367}, {559, 54437}, {581, 23072}, {597, 56460}, {599, 56366}, {603, 4255}, {651, 940}, {991, 22117}, {1046, 15832}, {1082, 54438}, {1191, 1319}, {1350, 3955}, {1413, 19349}, {1422, 3553}, {1473, 17809}, {1943, 4363}, {1993, 22129}, {1994, 55437}, {2174, 7125}, {2256, 3173}, {2261, 61671}, {2286, 51653}, {3157, 24929}, {3284, 7011}, {3305, 17811}, {3784, 5085}, {3937, 11402}, {3982, 37543}, {4383, 17074}, {4644, 6354}, {4663, 60786}, {4722, 41712}, {5122, 36745}, {5228, 37685}, {5285, 53097}, {5311, 60909}, {5711, 51782}, {6611, 21748}, {7050, 7281}, {7078, 30282}, {8545, 37595}, {8550, 26929}, {11477, 37581}, {13366, 26866}, {13462, 16466}, {15066, 55438}, {15934, 23070}, {17077, 19723}, {17625, 38315}, {17810, 26884}, {17825, 54444}, {18421, 34043}, {20182, 23144}, {21358, 56453}, {22161, 37474}, {23292, 26871}, {25417, 34056}, {26125, 42028}, {26942, 40341}, {28387, 55323}, {34028, 60975}, {34048, 37674}, {36748, 53819}, {37498, 37584}, {37504, 40152}, {40138, 55110}, {42314, 55086}, {44098, 45963}, {47352, 56444}, {50068, 60936}, {51780, 55432}, {54358, 60953}, {54366, 61661}

X(62207) = X(i)-isoconjugate of X(j) for these (i,j): {9, 5556}, {3692, 10977}
X(62207) = X(i)-Dao conjugate of X(j) for these (i,j): {478, 5556}, {1449, 4673}
X(62207) = crossdifference of every pair of points on line {2520, 3900}
X(62207) = barycentric product X(i)*X(j) for these {i,j}: {7, 5217}, {56, 32099}, {57, 3929}, {1014, 4005}, {1398, 10978}
X(62207) = barycentric quotient X(i)/X(j) for these {i,j}: {56, 5556}, {1398, 10977}, {3929, 312}, {4005, 3701}, {5217, 8}, {32099, 3596}, {51576, 4673}
X(62207) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 222, 1407}, {222, 2003, 6}, {394, 55406, 220}, {1993, 22129, 55405}, {4644, 18623, 6354}, {22128, 55400, 17811}

X(62208) = X(1)X(4208)∩X(2)X(37)

X(62208) lies on these lines:: {1, 4208}, {2, 37}, {7, 23681}, {8, 25527}, {20, 23537}, {57, 40968}, {63, 4346}, {144, 3782}, {145, 18134}, {171, 7613}, {223, 38459}, {226, 5222}, {239, 26132}, {269, 18624}, {273, 18678}, {278, 279}, {329, 26723}, {387, 11036}, {390, 3914}, {391, 27184}, {612, 40333}, {614, 3100}, {986, 18231}, {1086, 21454}, {1104, 3146}, {1201, 18220}, {1266, 56519}, {1449, 41825}, {1612, 37105}, {1714, 54398}, {1722, 8165}, {1999, 4869}, {2006, 44794}, {2082, 28039}, {2550, 17061}, {2999, 5226}, {3008, 18228}, {3011, 5281}, {3600, 23536}, {3619, 55095}, {3662, 37655}, {3663, 5273}, {3687, 4402}, {3755, 10578}, {3925, 39587}, {3936, 20043}, {3945, 5249}, {3946, 25525}, {4307, 17889}, {4310, 33137}, {4373, 32939}, {4415, 37650}, {4429, 7172}, {4454, 26065}, {4514, 39567}, {4641, 20059}, {4656, 18230}, {4859, 39595}, {4862, 28610}, {5177, 5262}, {5232, 5271}, {5261, 54418}, {5269, 59412}, {5286, 49758}, {5308, 41867}, {5328, 23511}, {5435, 22464}, {5437, 17067}, {5686, 33143}, {5712, 17014}, {5716, 37161}, {6354, 60939}, {7269, 54369}, {7290, 9812}, {7322, 9780}, {7378, 54293}, {7520, 19850}, {8055, 31189}, {8732, 57477}, {9965, 24597}, {10478, 17761}, {10888, 45100}, {11038, 33128}, {11106, 50065}, {11433, 23982}, {14552, 17184}, {14555, 24599}, {14986, 24781}, {16020, 24210}, {16487, 51783}, {16583, 27541}, {16749, 31623}, {16845, 50067}, {17022, 60996}, {17151, 20106}, {17352, 56084}, {17589, 25507}, {17602, 26040}, {17784, 26228}, {21907, 56050}, {24310, 27624}, {27540, 41785}, {28388, 54373}, {29621, 34064}, {30712, 42028}, {31045, 53417}, {32926, 39570}, {33132, 33144}, {37539, 56999}, {37680, 55466}, {50069, 50727}

X(62208) = X(i)-complementary conjugate of X(j) for these (i,j): {604, 51576}, {5556, 21244}, {10977, 20305}
X(62208) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4452, 345}, {2, 4461, 32777}, {2, 19785, 3672}, {2, 19824, 17147}, {2, 30699, 346}, {7, 40940, 37666}, {329, 26723, 37681}, {345, 19796, 4452}, {387, 24159, 11036}, {1086, 37642, 21454}, {3772, 4000, 2}, {19785, 33129, 2}, {19830, 33116, 50101}, {23681, 40940, 7}, {24597, 33146, 9965}, {26228, 33131, 17784}, {33137, 33147, 4310}

X(62209) = X(2)X(21850)∩X(3)X(373)

X(62209) lies on these lines:: {2, 21850}, {3, 373}, {5, 37643}, {6, 1196}, {22, 55678}, {25, 10545}, {51, 44456}, {110, 30734}, {125, 3851}, {154, 50664}, {182, 41424}, {184, 5644}, {323, 9777}, {381, 1514}, {382, 54012}, {394, 21971}, {399, 41670}, {549, 58764}, {1351, 5640}, {1495, 10601}, {1511, 6642}, {1568, 5055}, {1593, 43584}, {1597, 14845}, {1656, 45089}, {1995, 5050}, {3098, 6688}, {3124, 9605}, {3517, 37513}, {3526, 32269}, {3618, 44212}, {3620, 41588}, {3819, 55582}, {3850, 13093}, {4223, 14997}, {4232, 38110}, {5024, 11328}, {5054, 20192}, {5070, 44300}, {5072, 45303}, {5092, 9909}, {5093, 5651}, {5198, 15028}, {5422, 8780}, {5462, 11484}, {5476, 59767}, {5643, 6800}, {5646, 12045}, {5650, 55584}, {5892, 18535}, {6090, 11004}, {7387, 32205}, {7392, 18358}, {7398, 39874}, {7484, 15107}, {7485, 48912}, {7496, 55643}, {7693, 31133}, {7998, 55580}, {9140, 50957}, {9463, 21448}, {9544, 52719}, {10128, 11433}, {10219, 55594}, {10300, 51538}, {10541, 32237}, {10983, 37338}, {11002, 55724}, {11414, 11465}, {11432, 15026}, {11438, 11479}, {11456, 15024}, {11477, 16187}, {11695, 39568}, {11820, 40280}, {11898, 35283}, {12006, 12315}, {12085, 18874}, {12160, 54434}, {14389, 47597}, {14848, 37645}, {14924, 55606}, {15037, 19347}, {15082, 53097}, {15703, 32225}, {16051, 38136}, {16836, 33534}, {17809, 55712}, {17811, 37517}, {18551, 61950}, {18583, 40132}, {20850, 43650}, {21309, 22111}, {21513, 30435}, {21766, 55595}, {23411, 34780}, {25514, 37680}, {25555, 61680}, {32216, 50963}, {32223, 47355}, {33586, 55604}, {35259, 44109}, {35260, 51732}, {35268, 55692}, {35501, 58871}, {37644, 50955}, {37672, 55715}, {40916, 55629}, {41462, 55610}, {43845, 56516}, {44569, 61920}, {52454, 56629}, {54013, 61657}

X(62209) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 373, 5544}, {373, 3066, 3}, {1495, 10601, 55705}, {1995, 15018, 26864}, {3098, 6688, 59777}, {3098, 59777, 16419}, {5092, 31860, 9909}, {5462, 11484, 12164}, {5640, 11284, 1351}, {6688, 17810, 16419}, {7484, 15107, 55639}, {12045, 52987, 5646}, {15018, 26864, 5050}, {17810, 59777, 3098}, {17825, 31860, 5092}

X(62210) = X(1)X(6)∩X(50)X(172)

X(62210) lies on these lines:: {1, 6}, {35, 11063}, {36, 50660}, {41, 7297}, {42, 1989}, {48, 5356}, {50, 172}, {65, 19297}, {71, 46823}, {78, 61321}, {230, 5297}, {386, 50558}, {517, 54409}, {566, 2276}, {594, 4420}, {597, 26639}, {936, 61313}, {1030, 3579}, {1062, 52703}, {1442, 7277}, {1443, 17365}, {1482, 37503}, {1500, 3003}, {1870, 6749}, {1914, 13338}, {1953, 7300}, {1990, 6198}, {2093, 20997}, {2171, 2173}, {2178, 5221}, {2241, 33872}, {2242, 5063}, {2275, 13337}, {2278, 35459}, {2341, 4273}, {3083, 13847}, {3084, 13846}, {3196, 50194}, {3240, 17737}, {3284, 18447}, {3763, 55391}, {3811, 50087}, {3815, 7292}, {3920, 5306}, {3943, 34772}, {4251, 17444}, {4254, 8148}, {4285, 15955}, {4511, 17369}, {4861, 4969}, {5124, 13624}, {5158, 18455}, {5160, 47322}, {5217, 8553}, {5370, 44521}, {5496, 53037}, {6144, 55392}, {7031, 33886}, {7191, 9300}, {7269, 17366}, {9630, 41335}, {9722, 10592}, {11684, 38871}, {12702, 36744}, {15109, 59319}, {17012, 33133}, {17019, 61661}, {17021, 37646}, {17281, 22836}, {17388, 40997}, {18357, 50036}, {20970, 45883}, {21773, 32636}, {22837, 50131}, {31673, 53421}, {32787, 56427}, {32788, 56384}

X(62210) = barycentric product X(1)*X(3584)
X(62210) = barycentric quotient X(3584)/X(75)
X(62210) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2171, 2174, 5341}, {7968, 7969, 16474}, {11072, 11073, 42}, {16777, 56534, 40937}

X(62211) = X(1)X(6)∩X(50)X(1914)

X(62211) lies on these lines:: {1, 6}, {35, 50660}, {36, 11063}, {42, 30537}, {48, 7300}, {50, 1914}, {81, 16718}, {172, 13338}, {230, 7292}, {524, 26639}, {566, 2275}, {604, 5341}, {609, 33886}, {650, 14399}, {1015, 3003}, {1030, 13624}, {1060, 52703}, {1086, 1443}, {1319, 19297}, {1385, 54409}, {1404, 2161}, {1429, 7202}, {1442, 17366}, {1731, 17455}, {1870, 1990}, {1953, 5356}, {1989, 11075}, {2170, 2173}, {2241, 5063}, {2242, 33872}, {2245, 35459}, {2262, 21773}, {2276, 13337}, {2999, 31201}, {3083, 13846}, {3084, 13847}, {3163, 30117}, {3196, 25405}, {3284, 18455}, {3285, 52949}, {3579, 5124}, {3763, 55392}, {3815, 5297}, {3872, 61321}, {3920, 9300}, {3943, 38460}, {4420, 17362}, {4511, 4969}, {4861, 17369}, {5053, 17444}, {5109, 15955}, {5120, 8148}, {5158, 18447}, {5204, 8553}, {5306, 7191}, {5563, 61704}, {6144, 55391}, {6198, 6749}, {7269, 7277}, {7286, 47322}, {7302, 44521}, {9623, 61313}, {9722, 10593}, {10246, 37503}, {11278, 21853}, {12702, 36743}, {15109, 59325}, {17011, 61661}, {17012, 37646}, {17013, 37642}, {17021, 37662}, {17276, 18261}, {17281, 22837}, {18483, 53421}, {20323, 61650}, {22836, 50131}, {32787, 56384}, {32788, 56427}, {33129, 40612}, {50036, 61272}, {52338, 53314}

X(62211) = crossdifference of every pair of points on line {513, 3579}
X(62211) = X(5124)-line conjugate of X(3579)
X(62211) = barycentric product X(i)*X(j) for these {i,j}: {1, 3582}, {104, 12611}
X(62211) = barycentric quotient X(i)/X(j) for these {i,j}: {3582, 75}, {12611, 3262}
X(62211) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1100, 56531, 2323}, {2170, 7113, 7297}, {7968, 7969, 5315}, {44635, 44636, 16486}

X(62212) = X(1)X(6)∩X(81)X(89)

X(62212) lies on these lines:: {1, 6}, {2, 4969}, {10, 4982}, {42, 39960}, {55, 16694}, {56, 54409}, {81, 89}, {86, 16816}, {88, 14996}, {106, 52965}, {145, 17369}, {193, 17045}, {239, 41847}, {244, 14969}, {284, 5708}, {319, 29608}, {321, 19739}, {344, 6329}, {519, 61321}, {524, 17325}, {551, 4700}, {572, 12702}, {594, 3621}, {597, 17316}, {599, 17023}, {604, 5221}, {894, 4764}, {940, 17012}, {966, 46934}, {988, 22331}, {995, 4285}, {999, 19297}, {1015, 4277}, {1030, 5204}, {1086, 17014}, {1213, 5550}, {1266, 4795}, {1388, 1405}, {1404, 2099}, {1443, 5228}, {1475, 5043}, {1698, 50082}, {1766, 11278}, {1990, 34231}, {1992, 4364}, {2171, 38296}, {2234, 25426}, {2241, 5035}, {2242, 33882}, {2245, 37606}, {2260, 5036}, {2278, 36279}, {2280, 4289}, {2309, 23540}, {2325, 51071}, {2345, 20050}, {2364, 5425}, {2667, 23524}, {2999, 39948}, {3053, 37599}, {3187, 19722}, {3196, 53307}, {3240, 24512}, {3241, 3943}, {3244, 17281}, {3589, 17311}, {3616, 17330}, {3617, 17362}, {3618, 17267}, {3622, 37654}, {3623, 50113}, {3625, 5750}, {3626, 17303}, {3629, 17321}, {3634, 4856}, {3635, 50115}, {3636, 3707}, {3666, 39254}, {3672, 7277}, {3679, 61313}, {3686, 19862}, {3758, 17318}, {3759, 15668}, {3763, 3879}, {3912, 47352}, {3915, 54351}, {3945, 17366}, {3946, 4896}, {4068, 36635}, {4254, 21773}, {4273, 4658}, {4286, 19767}, {4287, 37567}, {4339, 9607}, {4346, 17365}, {4357, 6144}, {4360, 4788}, {4361, 4772}, {4363, 4393}, {4370, 61330}, {4383, 17021}, {4384, 50124}, {4395, 31139}, {4422, 29585}, {4431, 4910}, {4445, 17381}, {4470, 50098}, {4643, 15534}, {4644, 17395}, {4657, 40341}, {4665, 50129}, {4667, 4887}, {4670, 16834}, {4675, 17067}, {4690, 29603}, {4725, 17308}, {4727, 51093}, {4747, 49727}, {4792, 5114}, {4798, 50095}, {4816, 59772}, {4851, 29596}, {4852, 17118}, {4873, 50123}, {4889, 17286}, {5013, 37589}, {5069, 46189}, {5102, 46475}, {5124, 5217}, {5222, 17392}, {5256, 37520}, {5275, 7292}, {5332, 17599}, {5393, 13847}, {5405, 13846}, {5749, 17388}, {5816, 61272}, {5839, 9780}, {6470, 32556}, {6471, 32555}, {6542, 61344}, {6749, 7952}, {7232, 17380}, {7300, 54405}, {8584, 54280}, {9278, 39339}, {9326, 52900}, {9347, 54309}, {9509, 42081}, {10593, 50036}, {11011, 54377}, {11063, 14793}, {13006, 13337}, {13624, 37499}, {15533, 17237}, {15934, 17455}, {16590, 51105}, {17029, 37632}, {17120, 17262}, {17121, 17259}, {17243, 51171}, {17251, 17397}, {17255, 17396}, {17257, 32455}, {17265, 17391}, {17269, 17389}, {17271, 25503}, {17277, 29595}, {17279, 29601}, {17284, 50125}, {17290, 17378}, {17292, 50132}, {17293, 17377}, {17305, 50133}, {17309, 17368}, {17313, 17367}, {17323, 17364}, {17327, 17363}, {17332, 51170}, {17335, 29580}, {17342, 29619}, {17346, 29586}, {17354, 29588}, {17359, 29605}, {17360, 29614}, {17374, 21358}, {17387, 29630}, {17475, 37129}, {17609, 61650}, {18398, 61704}, {19744, 37869}, {19747, 31993}, {20072, 24441}, {20168, 32005}, {20170, 32107}, {20182, 37685}, {20997, 37587}, {21764, 36263}, {22332, 37552}, {23073, 50190}, {25055, 52706}, {25417, 32911}, {26071, 37652}, {29574, 51185}, {29602, 41310}, {29604, 50076}, {29610, 50077}, {29659, 50783}, {30950, 37673}, {31244, 49738}, {32847, 38087}, {33682, 49486}, {36479, 51000}, {37504, 37582}, {37595, 37679}, {37682, 54390}, {38023, 49768}, {38047, 49766}, {38107, 45942}, {39975, 52555}, {42697, 50112}, {46974, 52703}, {49762, 59407}, {49947, 53589}, {49948, 53588}, {50018, 50302}, {50660, 59334}, {55932, 60665}

X(62212) = reflection of X(17325) in X(26626)
X(62212) = X(514)-isoconjugate of X(58125)
X(62212) = crossdifference of every pair of points on line {513, 4770}
X(62212) = barycentric product X(i)*X(j) for these {i,j}: {1, 25055}, {81, 52706}, {100, 28220}, {668, 58141}
X(62212) = barycentric quotient X(i)/X(j) for these {i,j}: {692, 58125}, {25055, 75}, {28220, 693}, {52706, 321}, {58141, 513}
X(62212) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 6, 45}, {1, 44, 16672}, {1, 45, 16777}, {1, 1449, 16666}, {1, 16468, 60690}, {1, 16475, 3246}, {1, 16666, 6}, {1, 16667, 16670}, {1, 16670, 37}, {1, 16676, 39260}, {6, 1100, 16884}, {6, 2256, 56534}, {6, 16672, 44}, {6, 16675, 1743}, {6, 16777, 16885}, {6, 16884, 16777}, {9, 16668, 6}, {10, 4982, 50131}, {37, 16667, 6}, {44, 16672, 45}, {44, 39260, 16676}, {45, 16884, 1}, {81, 17013, 17595}, {145, 17369, 50087}, {193, 17045, 17253}, {999, 37503, 19297}, {1100, 1449, 6}, {1100, 16666, 1}, {1743, 3723, 16675}, {2280, 7113, 4289}, {3618, 17390, 17267}, {3621, 26039, 594}, {3623, 54389, 50113}, {3758, 17318, 49721}, {3758, 29584, 17318}, {4363, 4393, 50120}, {4393, 46922, 4363}, {4644, 17395, 49747}, {4670, 16834, 17119}, {4969, 61302, 2}, {5749, 17388, a53664}, {16671, 46845, 3731}, {16676, 39260, 16672}, {16777, 16885, 16677}, {17120, 17393, 17262}, {17121, 17394, 17259}, {17374, 29598, 21358}, {17380, 20090, 7232}, {29585, 59373, 4422}, {54402, 54403, 16472}

X(62213) = X(2)X(340)∩X(4)X(6)

X(62213) lies on these lines:: {2, 340}, {4, 6}, {20, 5158}, {25, 52188}, {39, 37460}, {44, 34231}, {69, 52289}, {112, 33872}, {140, 15905}, {193, 36794}, {216, 3522}, {232, 14930}, {233, 46935}, {264, 51170}, {275, 51990}, {281, 16669}, {297, 59373}, {317, 51171}, {376, 52703}, {458, 1992}, {460, 11405}, {468, 7736}, {470, 37641}, {471, 37640}, {524, 52288}, {577, 3523}, {597, 52283}, {648, 5032}, {1119, 7277}, {1217, 36749}, {1285, 35483}, {1405, 54200}, {1585, 19053}, {1586, 19054}, {1609, 35477}, {1656, 38292}, {1657, 15851}, {3003, 35485}, {3088, 5007}, {3091, 61327}, {3146, 15860}, {3163, 3839}, {3516, 8573}, {3535, 32788}, {3536, 32787}, {3543, 52945}, {3589, 32001}, {3618, 11331}, {3620, 53025}, {3629, 32000}, {3815, 52290}, {3850, 59657}, {4232, 10311}, {4969, 7046}, {5024, 37934}, {5063, 10312}, {5065, 8882}, {5068, 36413}, {5073, 42459}, {5094, 7735}, {5095, 6531}, {5304, 6103}, {5306, 8889}, {5475, 34569}, {6353, 9300}, {6525, 9777}, {6620, 8541}, {6623, 7753}, {6995, 55084}, {7487, 7772}, {7505, 31407}, {7737, 40135}, {7738, 37196}, {7952, 16666}, {8749, 52187}, {9605, 37458}, {10299, 36748}, {10301, 45141}, {10979, 62067}, {11062, 13337}, {11063, 35473}, {11109, 37654}, {11348, 15526}, {12150, 35940}, {13292, 18855}, {14836, 35480}, {14848, 44228}, {15484, 37984}, {15708, 61312}, {16080, 60193}, {16670, 56814}, {17120, 55393}, {17121, 55394}, {18487, 50687}, {18533, 53026}, {21735, 36751}, {21844, 50660}, {22052, 61791}, {26958, 56346}, {32455, 56013}, {32534, 41758}, {33636, 46219}, {34568, 35906}, {35471, 41335}, {36430, 52707}, {36743, 37289}, {37305, 37503}, {38005, 43717}, {44096, 46327}, {53149, 54274}, {59649, 62036}, {59655, 61975}, {61340, 61912}

X(62213) = orthosymmedial-circle-inverse of X(40138)
X(62213) = polar conjugate of the isotomic conjugate of X(3524)
X(62213) = X(63)-isoconjugate of X(3531)
X(62213) = X(3162)-Dao conjugate of X(3531)
X(62213) = barycentric product X(4)*X(3524)
X(62213) = barycentric quotient X(i)/X(j) for these {i,j}: {25, 3531}, {3524, 69}
X(62213) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3284, 61301}, {2, 61301, 61307}, {4, 6, 40138}, {4, 5702, 1990}, {4, 6749, 3087}, {4, 40065, 6749}, {4, 40138, 393}, {6, 1990, 5702}, {6, 3087, 393}, {6, 6748, 1249}, {6, 6749, 4}, {6, 40065, 3087}, {458, 56021, 52710}, {1990, 5702, 40138}, {1992, 52710, 56021}, {3087, 40138, 4}, {3284, 61301, 36427}, {5304, 52284, 6103}, {36427, 61307, 61301}

X(62214) = X(1)X(4263)∩X(2)X(37)

X(62214) lies on these lines:: {1, 4263}, {2, 37}, {6, 1201}, {8, 21892}, {9, 1050}, {19, 28353}, {39, 3731}, {44, 28370}, {45, 28352}, {172, 28383}, {198, 1914}, {269, 292}, {291, 53676}, {391, 17448}, {573, 3230}, {579, 61036}, {604, 9259}, {665, 28396}, {672, 28361}, {869, 22172}, {1015, 1743}, {1107, 5296}, {1149, 2347}, {1333, 7419}, {1400, 2176}, {1500, 16673}, {1716, 4447}, {1766, 19514}, {2092, 3247}, {2171, 20271}, {2178, 28348}, {2183, 21769}, {2238, 24528}, {2260, 28360}, {2268, 21008}, {2269, 16969}, {2285, 28385}, {2305, 8775}, {3009, 3056}, {3122, 3779}, {3160, 34057}, {3554, 23980}, {3723, 4277}, {3778, 4517}, {3959, 17452}, {3986, 5283}, {4110, 26048}, {4310, 52541}, {5042, 5563}, {5069, 16814}, {5301, 19297}, {5749, 16604}, {7296, 16470}, {9336, 46189}, {10459, 16777}, {10987, 36744}, {15624, 39688}, {16488, 16946}, {16672, 56926}, {16968, 28386}, {16972, 28369}, {17257, 37596}, {17261, 24598}, {17314, 21857}, {21033, 49509}, {21809, 24443}, {24328, 28014}, {25081, 40986}, {25590, 31198}, {28365, 28371}, {30646, 40131}, {33854, 38869}, {34247, 40934}, {39028, 39467}, {48854, 50620}, {53543, 60933}

X(62214) = crossdifference of every pair of points on line {667, 3667}
X(62214) = barycentric product X(1)*X(24440)
X(62214) = barycentric quotient X(24440)/X(75)
X(62214) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 17053, 2275}, {37, 1575, 346}, {37, 2277, 2276}, {37, 28244, 2345}, {37, 46838, 17281}, {39, 21826, 3731}, {1149, 2347, 21785}

X(62215) = X(1)X(6)∩X(19)X(3204)

X(62215) lies on these lines:: {1, 6}, {19, 3204}, {33, 7140}, {40, 21864}, {41, 21801}, {46, 19297}, {78, 17281}, {198, 21853}, {326, 17351}, {374, 11011}, {584, 54359}, {997, 17369}, {1766, 2174}, {1872, 59223}, {1953, 3217}, {1994, 56352}, {2082, 17444}, {2161, 37533}, {2178, 37582}, {2325, 22836}, {2345, 27395}, {3057, 37503}, {3196, 25415}, {3214, 21011}, {3340, 61704}, {3617, 27522}, {3772, 30852}, {3811, 3943}, {4336, 4878}, {4415, 54369}, {4511, 54389}, {4675, 25930}, {4700, 22837}, {4727, 6765}, {4853, 50082}, {4861, 37654}, {5119, 54409}, {7190, 17278}, {7269, 37650}, {11009, 61695}, {15500, 40138}, {16200, 61708}, {17012, 27131}, {17279, 55391}, {17299, 40997}, {17350, 44179}, {17365, 53996}, {17455, 54377}, {18151, 20173}, {21871, 36744}, {25091, 37520}, {30144, 50115}, {36743, 37605}, {36846, 50131}, {37634, 55867}, {41687, 61693}

X(62215) = X(2)-isoconjugate of X(41442)
X(62215) = X(32664)-Dao conjugate of X(41442)
X(62215) = barycentric product X(1)*X(45701)
X(62215) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 41442}, {45701, 75}
X(62215) = {X(2324),X(3553)}-harmonic conjugate of X(37)

X(62216) = X(1)X(6)∩X(19)X(4268)

X(62216) lies on these lines:: {1, 6}, {19, 4268}, {36, 61695}, {48, 2246}, {57, 61704}, {77, 5723}, {169, 7113}, {200, 50082}, {326, 17348}, {374, 1319}, {997, 17330}, {999, 61650}, {1155, 2262}, {1404, 54324}, {1442, 37650}, {1443, 37800}, {1465, 34492}, {2082, 2278}, {2161, 61146}, {2170, 2267}, {2178, 5126}, {2285, 17443}, {2325, 22837}, {2646, 37503}, {3214, 21012}, {3217, 17438}, {3576, 61708}, {3612, 54409}, {3707, 30144}, {3811, 4969}, {3870, 50131}, {3872, 17281}, {3935, 5839}, {4254, 37606}, {4273, 54356}, {4287, 7300}, {4341, 37695}, {4511, 37654}, {4530, 57277}, {4700, 22836}, {4727, 12629}, {4861, 54389}, {5035, 54382}, {5109, 54418}, {5120, 36279}, {5124, 54420}, {5819, 18450}, {5829, 8544}, {7982, 21864}, {8583, 52706}, {11425, 32318}, {16816, 27317}, {17012, 24597}, {17279, 55392}, {17337, 53996}, {17349, 44179}, {19297, 37618}, {24315, 49759}, {26639, 54280}, {31187, 54390}, {34545, 56041}, {36744, 37600}, {37697, 61730}

X(62216) = X(2)-isoconjugate of X(41487)
X(62216) = X(32664)-Dao conjugate of X(41487)
X(62216) = barycentric product X(1)*X(45700)
X(62216) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 41487}, {45700, 75}
X(62216) = {X(6),X(34522)}-harmonic conjugate of X(37)

X(62217) = X(2)X(1351)∩X(3)X(49)

X(62217) lies on these lines:: {2, 1351}, {3, 49}, {6, 3787}, {22, 6090}, {23, 55595}, {25, 2979}, {30, 14826}, {51, 44456}, {69, 1368}, {110, 55629}, {140, 11427}, {154, 3098}, {182, 37672}, {193, 45298}, {219, 3784}, {222, 3781}, {323, 7485}, {343, 14914}, {426, 61355}, {428, 54013}, {511, 5020}, {550, 11206}, {576, 17825}, {599, 21243}, {631, 12160}, {1073, 6638}, {1260, 22161}, {1350, 9306}, {1352, 34609}, {1353, 7734}, {1370, 18440}, {1460, 3792}, {1495, 55604}, {1498, 13348}, {1583, 12313}, {1584, 12314}, {1593, 11444}, {1595, 11487}, {1597, 5891}, {1598, 10625}, {1611, 5028}, {1613, 52658}, {1656, 3527}, {1657, 31383}, {1660, 34778}, {1853, 34507}, {1899, 11898}, {1993, 5050}, {1994, 40916}, {1995, 55580}, {2063, 41716}, {2972, 52170}, {3051, 9605}, {3060, 11284}, {3066, 21969}, {3426, 18435}, {3517, 37486}, {3522, 12174}, {3526, 37493}, {3534, 4549}, {3564, 7386}, {3580, 31255}, {3619, 11548}, {3620, 8889}, {3631, 23332}, {3690, 22129}, {3794, 26657}, {3933, 4176}, {3937, 55466}, {3955, 23140}, {4550, 35501}, {5012, 21766}, {5024, 8041}, {5054, 44201}, {5085, 34986}, {5092, 17809}, {5093, 5650}, {5094, 37636}, {5097, 5646}, {5102, 15082}, {5117, 7879}, {5422, 11482}, {5446, 11484}, {5622, 13416}, {5644, 15004}, {5651, 33586}, {5876, 13093}, {5943, 11477}, {6101, 6642}, {6144, 11225}, {6353, 62174}, {6515, 30739}, {6636, 26864}, {6643, 12429}, {6676, 10519}, {6677, 21970}, {6688, 37517}, {6776, 10691}, {6800, 55643}, {6803, 31802}, {6804, 13142}, {6805, 49028}, {6806, 49029}, {7083, 7186}, {7085, 22128}, {7378, 18358}, {7387, 10627}, {7392, 21850}, {7393, 11426}, {7395, 7999}, {7400, 61607}, {7494, 59553}, {7496, 55701}, {7499, 37645}, {7514, 44324}, {7522, 48934}, {7529, 37484}, {7691, 15750}, {7714, 61044}, {8354, 32463}, {9544, 55648}, {9818, 15067}, {9821, 41266}, {10154, 33522}, {10170, 44413}, {10219, 55718}, {11064, 43653}, {11245, 46336}, {11365, 31737}, {11403, 15056}, {11414, 14157}, {11433, 34380}, {11441, 37198}, {11442, 31152}, {11456, 54041}, {11459, 21312}, {11479, 11793}, {11573, 42461}, {11574, 19588}, {11591, 12085}, {11850, 12359}, {12083, 54047}, {12165, 15051}, {12251, 41235}, {12308, 15695}, {12310, 41673}, {12316, 61659}, {13340, 18534}, {13353, 43908}, {13366, 55705}, {13391, 58764}, {13615, 48908}, {14156, 15694}, {15068, 32063}, {15108, 31101}, {15246, 55682}, {15606, 17834}, {15644, 17814}, {15905, 22138}, {16187, 21849}, {16195, 46728}, {18374, 37485}, {18536, 44665}, {18910, 26944}, {18950, 20080}, {19126, 34817}, {19136, 37491}, {19520, 48909}, {20850, 35259}, {20885, 34095}, {25514, 37659}, {26869, 45794}, {26881, 55620}, {26913, 32216}, {31831, 34780}, {31860, 55585}, {33523, 34966}, {33879, 53863}, {34483, 38260}, {34608, 48874}, {35264, 55602}, {35268, 55624}, {37269, 48875}, {37273, 48917}, {37478, 55572}, {37480, 54992}, {39884, 44442}, {41424, 55594}, {41462, 55678}, {43574, 54994}, {43650, 44111}, {44098, 47038}, {44110, 55632}, {44212, 50967}, {44438, 54040}, {45488, 55577}, {45489, 55579}, {47551, 50990}, {50977, 58447}, {51344, 57450}, {53093, 61773}, {54012, 61658}, {54173, 59543}, {55716, 59777}, {55720, 58470}, {59767, 61646}

X(62217) = reflection of X(5020) in X(17811)
X(62217) = isotomic conjugate of the polar conjugate of X(5013)
X(62217) = isogonal conjugate of the polar conjugate of X(3620)
X(62217) = X(i)-Ceva conjugate of X(j) for these (i,j): {3620, 5013}, {34817, 3}
X(62217) = X(i)-isoconjugate of X(j) for these (i,j): {19, 5395}, {1973, 56067}, {24006, 58100}
X(62217) = X(i)-Dao conjugate of X(j) for these (i,j): {6, 5395}, {5013, 43981}, {6337, 56067}
X(62217) = crossdifference of every pair of points on line {2501, 50543}
X(62217) = barycentric product X(i)*X(j) for these {i,j}: {3, 3620}, {69, 5013}, {394, 8889}, {3926, 12167}
X(62217) = barycentric quotient X(i)/X(j) for these {i,j}: {3, 5395}, {69, 56067}, {3620, 264}, {5013, 4}, {8889, 2052}, {12167, 393}, {20775, 31506}, {32661, 58100}
X(62217) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 394, 3167}, {6, 3819, 16419}, {22, 6090, 8780}, {25, 2979, 33878}, {155, 5447, 3}, {323, 7485, 11402}, {394, 3796, 3292}, {394, 3917, 3}, {1350, 9306, 9909}, {1993, 7484, 5050}, {1993, 7998, 7484}, {2979, 15066, 25}, {5891, 37483, 1597}, {6090, 33884, 55610}, {7393, 16266, 11426}, {7485, 11402, 12017}, {8780, 55610, 22}, {10519, 37669, 6676}, {11793, 37498, 11479}, {15068, 35243, 32063}, {15068, 54042, 35243}, {15644, 17814, 39568}, {16266, 32142, 7393}

X(62218) = X(1)X(3697)∩X(9)X(55)

X(62218) lies on these lines:: {1, 3697}, {2, 3243}, {3, 58688}, {8, 3452}, {9, 55}, {10, 3487}, {12, 5665}, {36, 5438}, {40, 3678}, {42, 3247}, {43, 3789}, {57, 3681}, {63, 46917}, {72, 1706}, {78, 3897}, {84, 35238}, {100, 3929}, {120, 33084}, {165, 5220}, {220, 5574}, {226, 38200}, {312, 59599}, {517, 51781}, {518, 5437}, {519, 26105}, {612, 1449}, {756, 16676}, {899, 3677}, {936, 999}, {958, 4866}, {960, 2136}, {1001, 30393}, {1191, 8951}, {1376, 3928}, {1490, 58643}, {1697, 3876}, {1698, 41863}, {1856, 7046}, {2308, 5269}, {2321, 5423}, {2550, 21060}, {2551, 6743}, {2886, 3679}, {2898, 25719}, {2951, 58678}, {2975, 45036}, {3041, 61222}, {3052, 3973}, {3189, 18250}, {3219, 35445}, {3242, 23511}, {3305, 3935}, {3306, 4661}, {3340, 3617}, {3434, 31142}, {3474, 60977}, {3475, 10390}, {3544, 3626}, {3577, 5790}, {3601, 4420}, {3686, 7172}, {3687, 4901}, {3696, 59597}, {3699, 11679}, {3749, 15601}, {3751, 37604}, {3786, 18163}, {3811, 4015}, {3848, 30350}, {3870, 5284}, {3875, 59295}, {3886, 27538}, {3913, 53052}, {3940, 9623}, {3951, 5128}, {3956, 54318}, {3961, 7290}, {3974, 4007}, {3983, 44840}, {3996, 30568}, {4005, 5183}, {4023, 30615}, {4035, 39570}, {4038, 5268}, {4050, 4517}, {4082, 4873}, {4090, 50314}, {4134, 54286}, {4312, 49732}, {4421, 15481}, {4533, 5687}, {4547, 8715}, {4557, 10434}, {4651, 30961}, {4659, 32937}, {4668, 5087}, {4669, 11525}, {4678, 11682}, {4711, 4915}, {4847, 10589}, {4853, 5048}, {5010, 41229}, {5044, 6765}, {5219, 25006}, {5234, 56176}, {5273, 59584}, {5281, 5325}, {5316, 36845}, {5328, 24386}, {5524, 17594}, {5531, 58663}, {5534, 58630}, {5573, 16496}, {5686, 5745}, {5690, 7971}, {5739, 49991}, {5784, 9954}, {5795, 20007}, {5815, 57284}, {5853, 18228}, {5927, 7994}, {6173, 26040}, {6282, 18908}, {6666, 10578}, {6769, 58631}, {7074, 52405}, {7079, 56316}, {7179, 17270}, {7226, 54309}, {7330, 35000}, {7688, 17857}, {8000, 37737}, {8056, 21342}, {8162, 25917}, {8727, 38154}, {9335, 39963}, {9580, 31018}, {9709, 54422}, {9776, 46916}, {9778, 60942}, {9780, 11518}, {9814, 15587}, {9841, 14872}, {10157, 43166}, {10176, 31393}, {10582, 41711}, {10590, 21075}, {11372, 15064}, {11520, 46933}, {11678, 36973}, {11684, 41348}, {12513, 53058}, {13405, 38057}, {14740, 60782}, {15492, 21000}, {15570, 36835}, {15600, 29820}, {17018, 25430}, {17123, 35227}, {17597, 54390}, {18193, 49503}, {18743, 49451}, {19605, 59269}, {20103, 24477}, {20196, 26015}, {20335, 59296}, {21384, 56190}, {26037, 55076}, {28043, 28050}, {30323, 33559}, {30567, 49450}, {31249, 51463}, {31435, 58657}, {31835, 49163}, {34607, 51090}, {35514, 59687}, {37709, 56879}, {42047, 59732}, {42871, 58451}, {46694, 53055}, {49460, 59506}, {53663, 59772}, {60953, 61028}

X(62218) = reflection of X(5437) in X(8580)
X(62218) = X(i)-Ceva conjugate of X(j) for these (i,j): {3617, 3731}, {4866, 9}
X(62218) = X(i)-isoconjugate of X(j) for these (i,j): {56, 30712}, {57, 39980}, {1014, 31503}, {1407, 56201}, {1412, 56226}, {3676, 28162}, {43924, 58132}
X(62218) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 30712}, {3731, 43983}, {5452, 39980}, {11530, 7}, {24771, 56201}, {40599, 56226}
X(62218) = crossdifference of every pair of points on line {3669, 47935}
X(62218) = barycentric product X(i)*X(j) for these {i,j}: {8, 3731}, {9, 3617}, {21, 4058}, {55, 42034}, {200, 5226}, {281, 3984}, {346, 3340}, {644, 28161}, {646, 48338}, {3161, 10563}, {6605, 61031}, {11530, 56200}, {14350, 31343}
X(62218) = barycentric quotient X(i)/X(j) for these {i,j}: {9, 30712}, {55, 39980}, {200, 56201}, {210, 56226}, {644, 58132}, {1334, 31503}, {3340, 279}, {3617, 85}, {3731, 7}, {3984, 348}, {4058, 1441}, {5226, 1088}, {10563, 27818}, {11530, 43983}, {28161, 24002}, {42034, 6063}, {48338, 3669}, {61031, 59181}
X(62218) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3740, 51780}, {8, 3452, 24392}, {8, 15829, 3680}, {9, 200, 3158}, {10, 25568, 25525}, {42, 7322, 3247}, {200, 210, 9}, {200, 4512, 3689}, {210, 3689, 3715}, {210, 3711, 200}, {756, 37553, 16676}, {936, 34790, 6762}, {960, 4882, 2136}, {960, 8168, 9819}, {1001, 58629, 30393}, {1376, 5223, 3928}, {2550, 21060, 28609}, {2551, 6743, 12625}, {3174, 58635, 9}, {3305, 3935, 10389}, {3340, 3617, 11530}, {3617, 3984, 3340}, {3617, 5226, 61031}, {3689, 3715, 4512}, {3715, 4512, 9}, {3870, 7308, 38316}, {3974, 4061, 4007}, {4711, 5289, 4915}, {4882, 9819, 8168}, {5534, 58630, 61122}, {8168, 9819, 2136}, {16496, 16569, 5573}, {20103, 24477, 31190}, {30827, 59414, 4847}, {40659, 58696, 210}, {41711, 61686, 10582}

X(62219) = X(2)X(61308)∩X(3)X(6)

X(62219) lies on these lines:: {2, 61308}, {3, 6}, {115, 13807}, {230, 18762}, {385, 13827}, {590, 7753}, {615, 61329}, {1506, 32789}, {2548, 32785}, {3069, 61336}, {3071, 7755}, {3767, 23259}, {5254, 42225}, {5306, 42215}, {5309, 6561}, {5319, 6459}, {5412, 14581}, {5475, 42277}, {6502, 9341}, {6560, 19100}, {6564, 14537}, {7735, 23273}, {7737, 23249}, {7739, 9541}, {7745, 18538}, {7746, 42274}, {7747, 42284}, {7748, 42275}, {7749, 32790}, {7765, 42258}, {7845, 45473}, {8576, 34417}, {8972, 31481}, {9300, 35255}, {11648, 42263}, {13711, 18424}, {13821, 13843}, {13834, 43792}, {32787, 61328}, {49262, 53518}

X(62219) = isogonal conjugate of the isotomic conjugate of X(32788)
X(62219) = X(59111)-Ceva conjugate of X(512)
X(62219) = X(13821)-Dao conjugate of X(76)
X(62219) = barycentric product X(6)*X(32788)
X(62219) = barycentric quotient X(32788)/X(76)
X(62219) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 3053, 6398}, {6, 6199, 1504}, {6, 6200, 39}, {6, 6398, 1505}, {6, 6412, 6421}, {6, 6437, 6422}, {6, 12963, 6200}, {6, 41410, 187}, {32, 5058, 5062}, {32, 6424, 5058}, {6199, 30435, 6}, {39655, 40825, 50375}

X(62220) = X(2)X(61309)∩X(3)X(6)

X(62220) lies on these lines:: {2, 61309}, {3, 6}, {115, 13687}, {230, 18538}, {385, 13707}, {590, 61328}, {615, 7753}, {1506, 32790}, {2067, 9341}, {2548, 32786}, {3068, 61335}, {3070, 7755}, {3767, 23249}, {5254, 42226}, {5306, 42216}, {5309, 6560}, {5319, 6460}, {5413, 14581}, {5475, 42274}, {6561, 19099}, {6565, 14537}, {7735, 23267}, {7737, 23259}, {7745, 18762}, {7746, 42277}, {7747, 42283}, {7748, 42276}, {7749, 32789}, {7765, 42259}, {7845, 45472}, {8577, 34417}, {8972, 31411}, {9300, 35256}, {9540, 31483}, {11648, 42264}, {13701, 13720}, {13711, 43791}, {13834, 18424}, {21843, 31403}, {31481, 32785}, {32788, 61329}, {49261, 53519}

X(62220) = isogonal conjugate of the isotomic conjugate of X(32787)
X(62220) = X(59110)-Ceva conjugate of X(512)
X(62220) = X(13701)-Dao conjugate of X(76)
X(62220) = barycentric product X(6)*X(32787)
X(62220) = barycentric quotient X(32787)/X(76)
X(62220) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 1384, 9675}, {6, 3053, 6221}, {6, 6221, 1504}, {6, 6395, 1505}, {6, 6396, 39}, {6, 6411, 6422}, {6, 6438, 6421}, {6, 12968, 6396}, {6, 19781, 51728}, {6, 41411, 187}, {32, 5062, 5058}, {32, 6423, 5062}, {6395, 30435, 6}, {39654, 40825, 50374}

X(62221) = X(11)X(244)∩X(115)X(124)

X(62221) lies on these lines:: {1, 12690}, {2, 59580}, {11, 244}, {100, 37691}, {115, 124}, {125, 38960}, {149, 17724}, {226, 49478}, {238, 17070}, {528, 17719}, {594, 25760}, {595, 40273}, {982, 3829}, {984, 2886}, {995, 38034}, {1054, 6667}, {1104, 18483}, {1111, 4939}, {1538, 53599}, {1699, 3772}, {1738, 5087}, {1739, 17533}, {1834, 12047}, {1836, 37646}, {2968, 42761}, {2969, 8754}, {3035, 24715}, {3052, 9812}, {3058, 33127}, {3259, 5515}, {3271, 38390}, {3452, 21949}, {3614, 4642}, {3752, 3817}, {3782, 4392}, {3816, 17889}, {3838, 15569}, {3840, 48649}, {3847, 24174}, {3914, 17605}, {3932, 21241}, {4000, 9779}, {4026, 25385}, {4370, 33115}, {4422, 17777}, {4424, 17530}, {4674, 34122}, {4679, 17337}, {4854, 33105}, {4892, 4966}, {4969, 32843}, {4997, 26073}, {4999, 24851}, {5011, 43291}, {5057, 35466}, {5231, 17276}, {5432, 33094}, {5510, 15611}, {5511, 53825}, {5573, 15430}, {5698, 31187}, {5718, 10129}, {5724, 17577}, {5846, 37759}, {6690, 33095}, {6871, 37614}, {7173, 24443}, {7277, 24725}, {9330, 33108}, {9669, 24159}, {9955, 23537}, {10591, 17054}, {10593, 24046}, {10707, 33148}, {11235, 33144}, {11246, 29662}, {11269, 17365}, {11814, 25351}, {13273, 51422}, {15171, 24160}, {16594, 24988}, {16732, 24026}, {17018, 17775}, {17061, 33106}, {17064, 24703}, {17197, 18211}, {17246, 29639}, {17262, 30741}, {17340, 29857}, {17395, 17723}, {17463, 53540}, {17602, 33104}, {17726, 33155}, {17734, 28174}, {17761, 28521}, {17768, 33140}, {17783, 20075}, {18191, 38389}, {18527, 26728}, {20292, 37634}, {21342, 24386}, {22313, 61672}, {23821, 34589}, {24217, 25557}, {25531, 40480}, {26139, 27191}, {28530, 32851}, {28550, 59665}, {30942, 48632}, {31272, 43055}, {32486, 38038}, {32856, 51463}, {33130, 49736}, {33131, 37663}, {33141, 49498}, {34522, 43448}, {41011, 61661}, {44006, 51583}, {48643, 50117}

X(62221) = complement of the isotomic conjugate of X(58860)
X(62221) = X(i)-complementary conjugate of X(j) for these (i,j): {2334, 513}, {4606, 27076}, {4866, 59971}, {5936, 21260}, {8694, 24003}, {25430, 3835}, {34074, 4422}, {34820, 20317}, {40023, 21262}, {47915, 141}, {56048, 512}, {56237, 31946}, {57663, 4885}, {58860, 2887}
X(62221) = X(i)-Ceva conjugate of X(j) for these (i,j): {3616, 4802}, {3617, 28161}, {5556, 513}, {30712, 514}, {31359, 523}
X(62221) = X(i)-isoconjugate of X(j) for these (i,j): {100, 28162}, {692, 58132}, {1110, 30712}, {1252, 39980}, {2149, 56201}, {4570, 31503}
X(62221) = X(i)-Dao conjugate of X(j) for these (i,j): {514, 30712}, {650, 56201}, {661, 39980}, {1086, 58132}, {4988, 56226}, {8054, 28162}, {11530, 765}, {28161, 3617}, {50330, 31503}, {50457, 10436}
X(62221) = crossdifference of every pair of points on line {101, 28162}
X(62221) = barycentric product X(i)*X(j) for these {i,j}: {11, 5226}, {244, 42034}, {514, 28161}, {1086, 3617}, {1111, 3731}, {3261, 48338}, {3340, 4858}, {4058, 17205}
X(62221) = barycentric quotient X(i)/X(j) for these {i,j}: {11, 56201}, {244, 39980}, {514, 58132}, {649, 28162}, {1086, 30712}, {3120, 56226}, {3125, 31503}, {3340, 4564}, {3617, 1016}, {3731, 765}, {5226, 4998}, {10563, 5382}, {14350, 43290}, {28161, 190}, {42034, 7035}, {48338, 101}
X(62221) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {11, 1086, 3756}, {11, 3120, 1086}, {149, 17724, 53534}, {1738, 5087, 51415}, {2886, 3944, 4415}, {3838, 24210, 17056}, {3914, 17605, 37662}, {10129, 33134, 5718}, {11269, 61716, 17365}

X(62222) = X(1)X(4704)∩X(8)X(144)

X(62222) lies on these lines:: {1, 4704}, {2, 18193}, {6, 49447}, {7, 27549}, {8, 144}, {9, 16823}, {10, 6646}, {38, 27064}, {44, 28582}, {57, 27538}, {63, 6194}, {69, 3790}, {75, 5220}, {85, 60909}, {100, 29348}, {145, 25269}, {171, 42054}, {190, 518}, {192, 3751}, {210, 32939}, {238, 537}, {239, 726}, {320, 3932}, {329, 3705}, {335, 49692}, {519, 32106}, {527, 3717}, {528, 49698}, {666, 9501}, {672, 3508}, {740, 49712}, {756, 32940}, {883, 14189}, {894, 984}, {896, 32927}, {1001, 17336}, {1046, 41261}, {1125, 51294}, {1155, 3699}, {1215, 38000}, {1279, 24841}, {1281, 4712}, {1350, 56180}, {1386, 49513}, {1447, 4518}, {1698, 17236}, {1738, 4440}, {1743, 49446}, {1999, 32912}, {2325, 4684}, {2796, 49697}, {2975, 60723}, {3006, 17484}, {3085, 25601}, {3218, 3952}, {3219, 3757}, {3242, 4676}, {3245, 4738}, {3416, 17347}, {3616, 3731}, {3644, 49486}, {3667, 4498}, {3681, 32932}, {3703, 33066}, {3715, 19804}, {3759, 49453}, {3773, 17287}, {3782, 33118}, {3826, 7321}, {3844, 17273}, {3868, 56311}, {3869, 9369}, {3870, 25734}, {3883, 60942}, {3912, 5850}, {3923, 49448}, {3927, 4385}, {3935, 4427}, {3967, 14829}, {3971, 32913}, {3992, 4880}, {3994, 32919}, {3999, 25531}, {4026, 17258}, {4042, 42029}, {4078, 17300}, {4090, 17596}, {4096, 17122}, {4126, 11246}, {4307, 50286}, {4310, 26685}, {4316, 49998}, {4327, 60856}, {4356, 50090}, {4358, 4756}, {4360, 4663}, {4388, 17781}, {4389, 38047}, {4415, 33121}, {4419, 59406}, {4429, 17276}, {4432, 49675}, {4438, 33101}, {4439, 17771}, {4454, 5686}, {4499, 15310}, {4579, 7193}, {4641, 32926}, {4649, 17319}, {4655, 33165}, {4656, 29837}, {4661, 32929}, {4683, 33162}, {4696, 11684}, {4703, 33169}, {4716, 4753}, {4722, 32928}, {4852, 49522}, {4860, 30829}, {4884, 33071}, {4887, 9780}, {4901, 60977}, {4903, 30567}, {4942, 42034}, {4966, 17264}, {4969, 28472}, {4997, 61649}, {5176, 53792}, {5263, 17351}, {5423, 28610}, {5542, 25101}, {5695, 49450}, {5847, 20072}, {5853, 49707}, {5904, 7283}, {5905, 29641}, {6172, 50310}, {6541, 17310}, {6542, 34379}, {6790, 21578}, {7174, 50127}, {7191, 20068}, {7226, 26223}, {7262, 32920}, {7292, 17154}, {9041, 49695}, {9053, 49709}, {9330, 26627}, {10327, 20078}, {10453, 56082}, {10980, 26103}, {13587, 44724}, {15481, 17277}, {16468, 49455}, {16477, 49472}, {16484, 49491}, {16669, 49463}, {16815, 51297}, {16824, 41229}, {16825, 49532}, {16833, 51056}, {17117, 49493}, {17121, 32921}, {17123, 42055}, {17140, 27065}, {17160, 28555}, {17184, 33166}, {17254, 32784}, {17260, 24325}, {17262, 49470}, {17263, 25557}, {17266, 49676}, {17268, 33087}, {17280, 49511}, {17288, 29674}, {17291, 33159}, {17306, 26083}, {17324, 29633}, {17333, 50295}, {17334, 24723}, {17348, 49525}, {17487, 28580}, {17764, 49701}, {17767, 24715}, {17768, 32850}, {17770, 32847}, {17777, 26015}, {17784, 44446}, {18201, 24003}, {20059, 39570}, {20470, 23343}, {21061, 56318}, {21093, 33140}, {21805, 32845}, {24216, 26139}, {24477, 56084}, {24627, 32931}, {24695, 50289}, {24844, 29327}, {26065, 29634}, {26580, 33170}, {26800, 27020}, {27184, 33163}, {27945, 40217}, {28522, 50016}, {28526, 49772}, {29580, 50777}, {29584, 51035}, {29607, 53601}, {29673, 33099}, {29839, 56078}, {30579, 54309}, {30758, 60717}, {31161, 32917}, {31300, 50307}, {32772, 42039}, {32856, 33115}, {32859, 32862}, {32941, 49503}, {33064, 33164}, {33065, 33161}, {33098, 33117}, {33114, 33151}, {33126, 44416}, {33153, 56520}, {33676, 51929}, {33931, 60729}, {35596, 53672}, {37567, 44720}, {38057, 42697}, {39126, 41712}, {41242, 46909}, {47359, 49748}, {49445, 49488}, {49452, 49497}, {49466, 51090}, {49482, 49508}, {49495, 55998}, {49721, 50075}, {50095, 50834}

X(62222) = midpoint of X(i) and X(j) for these {i,j}: {1757, 24821}, {4480, 4899}
X(62222) = reflection of X(i) in X(j) for these {i,j}: {8, 4899}, {239, 1757}, {320, 3932}, {335, 49692}, {3685, 190}, {4440, 1738}, {4645, 3717}, {4684, 2325}, {4716, 4753}, {24715, 49693}, {24841, 1279}, {32846, 4439}, {32857, 10}, {32922, 44}, {49675, 4432}
X(62222) = anticomplement of X(24231)
X(62222) = X(25380)-Dao conjugate of X(4124)
X(62222) = cevapoint of X(144) and X(33888)
X(62222) = barycentric product X(190)*X(25380)
X(62222) = barycentric quotient X(25380)/X(514)
X(62222) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 4488, 24280}, {9, 24349, 16823}, {38, 32938, 27064}, {63, 32937, 7081}, {75, 5220, 60731}, {894, 984, 16830}, {984, 32935, 894}, {3218, 3952, 5205}, {3219, 17165, 3757}, {3681, 32933, 32932}, {3729, 5223, 8}, {4649, 49456, 17319}, {4663, 49523, 4360}, {4676, 49501, 3242}, {15481, 49483, 17277}, {17334, 49524, 24723}, {17336, 49499, 1001}, {17350, 31302, 1}, {17351, 49515, 5263}, {32912, 32925, 1999}, {32931, 36263, 24627}

X(62223) = X(1)X(28534)∩X(6)X(7)

X(62223) lies on these lines:: {1, 28534}, {2, 7238}, {6, 7}, {8, 15533}, {37, 4888}, {44, 6173}, {45, 527}, {57, 14564}, {69, 4478}, {75, 40341}, {86, 17255}, {142, 16885}, {144, 17245}, {190, 17313}, {193, 7263}, {239, 15534}, {320, 599}, {329, 37682}, {481, 44635}, {482, 44636}, {524, 4405}, {536, 29605}, {545, 17316}, {594, 7222}, {894, 3763}, {903, 4393}, {940, 17483}, {991, 60922}, {1100, 4862}, {1119, 6748}, {1150, 31030}, {1266, 50120}, {1279, 59372}, {1373, 7968}, {1374, 7969}, {1447, 31489}, {1449, 4902}, {1647, 4860}, {1743, 61020}, {1992, 4395}, {2099, 60718}, {3000, 36971}, {3196, 37272}, {3218, 26738}, {3242, 50307}, {3306, 31202}, {3475, 21000}, {3553, 7271}, {3554, 7274}, {3598, 3815}, {3618, 48631}, {3620, 7227}, {3630, 42696}, {3631, 7231}, {3662, 47355}, {3663, 16884}, {3664, 16777}, {3729, 17311}, {3758, 17290}, {3772, 3982}, {3834, 50127}, {3912, 49721}, {3943, 4454}, {3945, 17246}, {3959, 4955}, {4252, 6147}, {4255, 24470}, {4312, 49478}, {4346, 17395}, {4357, 4798}, {4361, 6144}, {4370, 29627}, {4383, 26842}, {4384, 4715}, {4389, 29586}, {4398, 20090}, {4399, 20080}, {4409, 50113}, {4419, 16672}, {4440, 17318}, {4445, 17116}, {4470, 61313}, {4473, 17234}, {4480, 41313}, {4643, 24603}, {4645, 59407}, {4648, 16675}, {4659, 17374}, {4664, 29625}, {4667, 4887}, {4670, 17274}, {4708, 10436}, {4713, 30967}, {4741, 17251}, {4795, 17023}, {4796, 17382}, {4859, 16669}, {4869, 17340}, {4911, 44518}, {5219, 31201}, {5308, 49742}, {5341, 7289}, {5695, 49764}, {5749, 48632}, {5762, 50677}, {5880, 49772}, {5902, 52626}, {5905, 37674}, {6356, 36748}, {6542, 49722}, {6549, 24281}, {6646, 15668}, {7146, 53546}, {7179, 37637}, {7229, 48635}, {8557, 60953}, {9965, 17056}, {10708, 61073}, {13329, 59380}, {15492, 20195}, {16814, 60977}, {16826, 24441}, {17120, 48629}, {17160, 50133}, {17254, 41847}, {17259, 17347}, {17262, 17300}, {17265, 17350}, {17267, 17298}, {17269, 17297}, {17273, 17327}, {17278, 60980}, {17284, 31138}, {17288, 17293}, {17292, 51186}, {17296, 53664}, {17303, 53598}, {17309, 17375}, {17314, 32093}, {17323, 17379}, {17344, 25590}, {17362, 31995}, {17367, 51185}, {17369, 21358}, {17487, 29589}, {19297, 24328}, {21010, 24405}, {21279, 53421}, {21454, 37662}, {24231, 38315}, {24331, 28558}, {24593, 30824}, {24692, 48829}, {24695, 25557}, {24841, 50790}, {26626, 49741}, {28043, 44785}, {28333, 34824}, {29569, 49748}, {29579, 49726}, {29611, 50993}, {29615, 50989}, {29617, 51188}, {29676, 33097}, {30811, 31029}, {30833, 54389}, {31019, 31187}, {31140, 54352}, {31164, 37520}, {32935, 49769}, {37580, 38530}, {42314, 60883}, {49483, 51051}, {50098, 52709}, {51099, 53534}

X(62223) = reflection of X(i) in X(j) for these {i,j}: {45, 4675}, {4675, 4896}, {17119, 42697}, {54280, 34824}
X(62223) = crossdifference of every pair of points on line {926, 58158}
X(62223) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {7, 4644, 1086}, {7, 17365, 6}, {69, 7228, 17118}, {320, 4363, 599}, {320, 50128, 4363}, {599, 4363, 61321}, {894, 7232, 3763}, {894, 17227, 61344}, {1086, 4644, 6}, {1086, 17365, 4644}, {3664, 17276, 16777}, {3664, 60962, 17276}, {3729, 17376, 17311}, {3758, 17290, 47352}, {4000, 7277, 6}, {4361, 17364, 6144}, {4419, 17392, 16672}, {4440, 17378, 17318}, {4648, 17334, 16675}, {4648, 20059, 17334}, {4659, 17374, 50087}, {4667, 4887, 17301}, {4670, 17274, 17325}, {4888, 60933, 37}, {7222, 21296, 594}, {7232, 61344, 17227}, {7321, 17364, 4361}, {10436, 17345, 17253}, {17116, 17361, 4445}, {17227, 61344, 3763}, {17298, 17351, 17267}, {17347, 26806, 17259}

X(62224) = X(2)X(4478)∩X(6)X(8)

X(62224) lies on these lines:: {2, 4478}, {6, 8}, {7, 15533}, {9, 4677}, {10, 4545}, {37, 3632}, {44, 4007}, {45, 3625}, {69, 4399}, {75, 40341}, {142, 50076}, {145, 1213}, {193, 4665}, {239, 3763}, {319, 599}, {391, 3943}, {519, 5257}, {524, 7231}, {572, 59503}, {573, 12645}, {894, 15534}, {952, 37499}, {956, 1030}, {966, 3621}, {1086, 4371}, {1100, 3679}, {1449, 4668}, {1654, 17318}, {1992, 7227}, {2285, 36920}, {2321, 4701}, {2968, 36748}, {3052, 4046}, {3434, 53421}, {3553, 4915}, {3554, 4882}, {3617, 17398}, {3618, 48636}, {3620, 4395}, {3626, 17303}, {3630, 42697}, {3631, 4405}, {3633, 3723}, {3661, 47355}, {3705, 37637}, {3731, 4727}, {3759, 17293}, {3815, 7172}, {3875, 4690}, {3879, 28634}, {3969, 19723}, {4030, 31477}, {4058, 4700}, {4060, 17281}, {4254, 59235}, {4357, 50120}, {4360, 17251}, {4363, 5564}, {4384, 17311}, {4393, 17327}, {4402, 48632}, {4431, 49721}, {4460, 4748}, {4464, 41312}, {4657, 49770}, {4669, 5750}, {4678, 61313}, {4698, 29605}, {4725, 10436}, {4733, 50284}, {4746, 4856}, {4851, 50095}, {4852, 17270}, {4873, 15492}, {4889, 16831}, {4971, 17257}, {5015, 44518}, {5069, 52959}, {5110, 5774}, {5124, 5687}, {5222, 48635}, {5224, 20016}, {5227, 7297}, {5232, 17395}, {5275, 33090}, {5296, 50113}, {5697, 21873}, {5742, 20013}, {5816, 5844}, {6329, 61343}, {6539, 19738}, {6542, 17259}, {6646, 50088}, {6748, 7046}, {7081, 31489}, {7228, 20080}, {7232, 17117}, {8148, 32431}, {8252, 56386}, {8253, 56385}, {9761, 46175}, {9763, 46176}, {12513, 21773}, {15668, 17377}, {16644, 40714}, {16645, 40713}, {16666, 59772}, {16673, 50123}, {16675, 17314}, {16815, 17386}, {16816, 17265}, {16833, 17231}, {16834, 17239}, {16975, 21858}, {17045, 50129}, {17121, 48630}, {17135, 37673}, {17151, 17344}, {17160, 17255}, {17243, 50079}, {17262, 17346}, {17267, 17294}, {17269, 17349}, {17271, 17323}, {17277, 17309}, {17282, 50081}, {17287, 17290}, {17291, 51186}, {17313, 17373}, {17328, 24441}, {17337, 29616}, {17340, 37654}, {17365, 32087}, {17366, 21358}, {17368, 51185}, {17376, 31139}, {17380, 40891}, {17381, 51353}, {18526, 37508}, {19732, 20017}, {20046, 41809}, {20174, 24524}, {21027, 32852}, {21793, 32864}, {26685, 50097}, {29630, 48640}, {31187, 33077}, {35578, 51187}, {46845, 51093}, {49486, 50308}, {49509, 49690}, {50100, 61000}, {50128, 51188}

X(62224) = reflection of X(i) in X(j) for these {i,j}: {16777, 17275}, {17118, 42696}
X(62224) = crossdifference of every pair of points on line {6371, 58182}
X(62224) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 5839, 594}, {8, 17362, 6}, {44, 4007, 53664}, {69, 4399, 17119}, {239, 4445, 3763}, {319, 4361, 599}, {319, 29617, 4361}, {594, 5839, 6}, {594, 17362, 5839}, {966, 3621, 17388}, {966, 17388, 16672}, {2345, 4969, 6}, {3625, 3686, 17299}, {3632, 4034, 37}, {3686, 17299, 45}, {3759, 17293, 47352}, {3759, 29615, 17293}, {3875, 4690, 17253}, {4363, 17363, 6144}, {4371, 32099, 1086}, {4384, 17372, 17311}, {4393, 32025, 17327}, {4677, 50082, 50087}, {4852, 17270, 17325}, {5564, 17363, 4363}, {16816, 17295, 17265}, {17117, 17360, 7232}, {17121, 48630, 61344}, {17151, 17344, 49747}, {17160, 17343, 17255}, {17277, 20055, 17309}, {17294, 17348, 17267}, {17314, 17330, 16675}, {17344, 50085, 17151}

X(62225) = X(8)X(15533)∩X(75)X(141)

X(62225) lies on these lines:: {8, 15533}, {10, 28554}, {75, 141}, {536, 24603}, {599, 52709}, {903, 51353}, {1213, 4686}, {1992, 4363}, {3617, 49747}, {3696, 49536}, {3758, 4405}, {3875, 4798}, {3943, 4688}, {4361, 51171}, {4364, 4740}, {4370, 4384}, {4393, 10022}, {4395, 29630}, {4399, 7277}, {4407, 4733}, {4409, 4643}, {4415, 4980}, {4431, 4739}, {4470, 50120}, {4472, 17160}, {4478, 7321}, {4644, 6144}, {4659, 17330}, {4667, 50085}, {4670, 50099}, {4690, 50119}, {4708, 4726}, {4714, 52626}, {4772, 17243}, {4908, 31211}, {4971, 29588}, {5222, 17119}, {5564, 7228}, {6542, 49733}, {6703, 19833}, {7227, 17117}, {7231, 17363}, {7238, 29615}, {16816, 49726}, {16826, 28309}, {17151, 17398}, {17256, 28297}, {17281, 31183}, {17334, 28634}, {17365, 20080}, {17366, 61344}, {17388, 25590}, {17392, 29605}, {17395, 29603}, {29572, 34824}, {29593, 49741}, {29616, 31139}, {29624, 50113}, {29625, 49738}, {55955, 60710}

X(62225) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 4665, 1086}, {75, 48628, 7263}, {1086, 4665, 594}, {1086, 48635, 17227}, {4363, 50098, 4969}, {4399, 17116, 7277}, {4431, 4739, 17245}, {4470, 50120, 61302}, {4665, 7263, 61343}, {4665, 61343, 48628}, {4726, 4967, 17246}, {7263, 17227, 1086}, {7263, 48628, 48635}, {7263, 61343, 17227}, {17118, 32087, 17362}, {17227, 48628, 61343}, {17227, 61343, 48635}, {48628, 48635, 594}

X(62226) = X(2)X(3993)∩X(10)X(321)

X(62226) lies on these lines:: {2, 3993}, {8, 32946}, {10, 321}, {37, 24060}, {38, 4980}, {42, 4709}, {75, 982}, {171, 55095}, {192, 59312}, {210, 4732}, {226, 7235}, {310, 59505}, {319, 33097}, {519, 32771}, {561, 20888}, {594, 2887}, {726, 7226}, {740, 31993}, {984, 42029}, {1125, 32915}, {1211, 48643}, {1215, 3696}, {1654, 33099}, {1698, 41839}, {1836, 50308}, {1999, 24342}, {2321, 29653}, {2345, 25453}, {2886, 4665}, {3120, 56810}, {3175, 3842}, {3187, 33682}, {3626, 3681}, {3661, 17889}, {3679, 32937}, {3687, 25385}, {3706, 4883}, {3721, 22206}, {3739, 25501}, {3742, 4739}, {3773, 3925}, {3775, 3782}, {3831, 28612}, {3840, 4359}, {3875, 29644}, {3879, 23812}, {3886, 29651}, {3923, 5271}, {3930, 4058}, {3932, 48644}, {3980, 11679}, {3995, 27812}, {4011, 4384}, {4037, 5257}, {4042, 32935}, {4090, 4651}, {4104, 21093}, {4361, 25496}, {4362, 5269}, {4363, 32853}, {4385, 31327}, {4415, 4733}, {4438, 50048}, {4669, 31161}, {4671, 26037}, {4694, 50608}, {4699, 26102}, {4703, 17275}, {4734, 29825}, {4847, 20237}, {4848, 7211}, {4854, 50298}, {4871, 19804}, {4886, 33096}, {4967, 24210}, {4981, 49520}, {5224, 33154}, {5235, 32936}, {5249, 49560}, {5295, 49598}, {5564, 32861}, {5737, 32934}, {6535, 21027}, {6539, 34475}, {6682, 42051}, {6685, 32860}, {7244, 60735}, {8013, 26580}, {9148, 22043}, {9335, 30942}, {10180, 49462}, {11269, 19825}, {16606, 22184}, {17116, 32913}, {17117, 29821}, {17135, 49479}, {17140, 31136}, {17147, 30970}, {17160, 17600}, {17164, 59307}, {17165, 49510}, {17289, 33132}, {17490, 29827}, {17495, 31241}, {19701, 50281}, {19808, 33135}, {19822, 29635}, {19862, 56221}, {20292, 50304}, {20911, 21416}, {21026, 48648}, {21071, 52579}, {21084, 40564}, {21241, 21829}, {21443, 40087}, {21820, 24044}, {21949, 28595}, {21951, 22171}, {24168, 50605}, {24295, 26723}, {24552, 50023}, {24692, 33080}, {24703, 28634}, {25590, 39594}, {26098, 42696}, {27478, 31027}, {28522, 28606}, {28611, 46827}, {29846, 46918}, {32772, 49477}, {32857, 37653}, {32914, 49482}, {33066, 42334}, {33107, 41821}, {43534, 60267}, {43997, 58820}, {50018, 61358}, {50096, 59511}, {51863, 60719}

X(62226) = midpoint of X(28605) and X(31330)
X(62226) = reflection of X(43223) in X(31993)
X(62226) = X(46772)-Ceva conjugate of X(10)
X(62226) = X(i)-isoconjugate of X(j) for these (i,j): {58, 39972}, {1333, 39738}, {2206, 56212}, {3733, 29199}
X(62226) = X(i)-Dao conjugate of X(j) for these (i,j): {10, 39972}, {37, 39738}, {40603, 56212}
X(62226) = barycentric product X(i)*X(j) for these {i,j}: {10, 4699}, {321, 26102}, {3952, 48399}, {4033, 29198}
X(62226) = barycentric quotient X(i)/X(j) for these {i,j}: {10, 39738}, {37, 39972}, {321, 56212}, {1018, 29199}, {4699, 86}, {26102, 81}, {29198, 1019}, {48399, 7192}
X(62226) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4365, 3993}, {2, 49474, 4970}, {10, 321, 3971}, {10, 4135, 756}, {38, 4980, 50117}, {42, 17163, 4709}, {75, 3741, 24165}, {321, 756, 4135}, {321, 21020, 10}, {756, 4135, 3971}, {1215, 3696, 4685}, {1215, 4457, 4849}, {3696, 4849, 4457}, {3706, 24325, 42057}, {3995, 27812, 59306}, {4457, 4849, 4685}, {4671, 26037, 59517}, {8013, 48642, 26580}, {17163, 31025, 42}, {48643, 50312, 1211}

X(62227) = X(1)X(19741)∩X(2)X(37)

X(62227) lies on these lines:: {1, 19741}, {2, 37}, {8, 3159}, {10, 27797}, {42, 4135}, {72, 3621}, {144, 31303}, {145, 2901}, {149, 50747}, {190, 16704}, {239, 32094}, {244, 28516}, {306, 4072}, {329, 20017}, {514, 4024}, {516, 50000}, {518, 49980}, {519, 39699}, {537, 17145}, {538, 31061}, {594, 27081}, {726, 17154}, {740, 3952}, {756, 4732}, {894, 26860}, {899, 28522}, {908, 22031}, {975, 19337}, {1089, 4868}, {1150, 17262}, {1215, 21806}, {1449, 19743}, {1743, 3187}, {1757, 17162}, {1824, 7408}, {1897, 14954}, {2229, 20688}, {2321, 26580}, {3120, 6541}, {3218, 30579}, {3219, 18163}, {3294, 16816}, {3685, 20045}, {3790, 31079}, {3842, 27812}, {3891, 4387}, {3896, 3967}, {3912, 31647}, {3932, 4442}, {3936, 3943}, {3948, 52959}, {3950, 4054}, {3969, 4415}, {3970, 29583}, {3971, 4365}, {3993, 29822}, {4009, 28484}, {4058, 4656}, {4062, 21093}, {4066, 26115}, {4115, 40891}, {4189, 56538}, {4360, 41242}, {4425, 6535}, {4427, 17763}, {4434, 4781}, {4439, 33136}, {4519, 46909}, {4552, 18593}, {4645, 44006}, {4659, 26627}, {4678, 5295}, {4693, 32927}, {4852, 41241}, {4972, 6057}, {6539, 30582}, {7206, 36250}, {7230, 27040}, {7283, 17539}, {8025, 34064}, {10453, 20068}, {16705, 33775}, {16777, 19740}, {16884, 19717}, {16885, 19742}, {16975, 31036}, {17021, 17116}, {17029, 61163}, {17117, 35595}, {17135, 32925}, {17140, 17450}, {17146, 49532}, {17150, 32930}, {17160, 37680}, {17165, 32915}, {17230, 21070}, {17233, 31017}, {17242, 31019}, {17300, 40085}, {17310, 22035}, {17314, 31034}, {17316, 22048}, {17355, 29833}, {17460, 20039}, {17491, 32846}, {17770, 49995}, {17777, 32842}, {17780, 24428}, {18145, 40089}, {18359, 50039}, {18600, 33939}, {19284, 50044}, {19874, 42031}, {20009, 50322}, {20011, 32937}, {20016, 21839}, {20040, 25253}, {20078, 22001}, {20081, 22036}, {20290, 33099}, {21061, 25269}, {21282, 32847}, {21935, 27708}, {22010, 31053}, {22011, 24049}, {22012, 24077}, {22021, 40903}, {22022, 24048}, {22029, 36591}, {22039, 40906}, {24044, 29591}, {26758, 33077}, {26771, 28654}, {26844, 36791}, {27064, 45222}, {27801, 30638}, {28526, 49990}, {28599, 33095}, {29653, 48642}, {30939, 39698}, {30942, 49445}, {30950, 50117}, {31136, 49520}, {31161, 49471}, {31855, 52872}, {32931, 49452}, {32933, 37639}, {33761, 55095}, {39740, 56039}, {39995, 39997}, {41226, 46785}, {46897, 49462}, {52049, 53363}, {52137, 61403}, {53114, 56281}, {56209, 60267}, {60723, 61157}

X(62227) = reflection of X(i) in X(j) for these {i,j}: {3952, 3994}, {17154, 29824}, {17495, 4358}, {19998, 3952}
X(62227) = anticomplement of X(17495)
X(62227) = anticomplement of the isotomic conjugate of X(39698)
X(62227) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {39698, 6327}, {40039, 315}, {53685, 20295}, {59072, 75}
X(62227) = X(i)-Ceva conjugate of X(j) for these (i,j): {903, 10}, {17160, 31855}, {39698, 2}
X(62227) = X(i)-isoconjugate of X(j) for these (i,j): {58, 39982}, {1333, 39697}, {2206, 39994}, {52680, 60809}
X(62227) = X(i)-Dao conjugate of X(j) for these (i,j): {10, 39982}, {37, 39697}, {3943, 519}, {40603, 39994}
X(62227) = trilinear pole of line {4145, 21714}
X(62227) = crossdifference of every pair of points on line {667, 2308}
X(62227) = barycentric product X(i)*X(j) for these {i,j}: {10, 17160}, {37, 18145}, {42, 40089}, {75, 31855}, {99, 21714}, {190, 59737}, {310, 58292}, {313, 40091}, {321, 37680}, {668, 4145}, {740, 40095}, {903, 52872}, {1018, 21606}, {3952, 21297}, {4033, 21385}, {4491, 27808}, {27801, 33882}
X(62227) = barycentric quotient X(i)/X(j) for these {i,j}: {10, 39697}, {37, 39982}, {321, 39994}, {4145, 513}, {4491, 3733}, {17160, 86}, {18145, 274}, {21297, 7192}, {21385, 1019}, {21606, 7199}, {21714, 523}, {23141, 7254}, {31855, 1}, {33882, 1333}, {37680, 81}, {40089, 310}, {40091, 58}, {40095, 18827}, {52872, 519}, {58292, 42}, {59737, 514}
X(62227) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {37, 321, 31025}, {37, 31025, 2}, {75, 31035, 2}, {192, 4671, 2}, {312, 3644, 4850}, {312, 17147, 2}, {312, 42044, 17147}, {321, 3175, 3995}, {321, 3995, 2}, {321, 4043, 4671}, {2901, 56318, 145}, {3175, 22034, 321}, {3644, 4850, 17147}, {3790, 33134, 31079}, {3969, 4415, 31037}, {3971, 4365, 4651}, {3995, 31025, 37}, {4358, 17495, 2}, {4519, 49523, 46909}, {4850, 42044, 3644}, {17233, 33151, 31017}, {17280, 33155, 2}, {17490, 46938, 2}, {28605, 41839, 2}, {32849, 37759, 2}

X(62228) = X(8)X(1992)∩X(75)X(141)

X(62228) lies on these lines:: {8, 1992}, {9, 52885}, {10, 4664}, {75, 141}, {86, 4007}, {190, 3679}, {192, 4708}, {239, 47352}, {319, 4644}, {536, 17250}, {662, 4390}, {894, 6144}, {1125, 50121}, {1268, 3247}, {1278, 17239}, {1698, 4535}, {2321, 4687}, {2345, 3759}, {2643, 59261}, {3617, 17256}, {3626, 17346}, {3632, 46922}, {3634, 50110}, {3644, 4431}, {3687, 60267}, {3723, 30598}, {3729, 17328}, {3739, 17240}, {3790, 4733}, {3875, 17400}, {3943, 29576}, {4058, 4751}, {4060, 17377}, {4102, 5287}, {4357, 4764}, {4360, 29603}, {4361, 17371}, {4363, 15533}, {4377, 28605}, {4384, 17342}, {4395, 29613}, {4399, 17368}, {4407, 49447}, {4439, 50312}, {4445, 17116}, {4461, 17258}, {4470, 50079}, {4472, 17389}, {4473, 17281}, {4478, 17364}, {4643, 51353}, {4659, 17271}, {4668, 50127}, {4670, 20055}, {4678, 54280}, {4686, 17238}, {4688, 17230}, {4691, 50093}, {4699, 17229}, {4726, 17236}, {4727, 29570}, {4739, 17232}, {4740, 17237}, {4772, 17231}, {4798, 17299}, {4821, 17235}, {4908, 41848}, {4971, 17397}, {5222, 17289}, {6539, 28606}, {6542, 41847}, {7227, 17363}, {7918, 33941}, {10436, 17386}, {15668, 29625}, {16673, 31248}, {16706, 32087}, {16815, 17269}, {16816, 17359}, {16826, 50087}, {17023, 50088}, {17117, 17293}, {17118, 17287}, {17119, 17292}, {17151, 17307}, {17160, 17308}, {17244, 50097}, {17260, 53664}, {17270, 17329}, {17275, 17336}, {17280, 28634}, {17286, 17341}, {17294, 17387}, {17295, 25590}, {17301, 29591}, {17303, 17393}, {17314, 28653}, {17315, 29624}, {17318, 29610}, {17354, 50095}, {17367, 50098}, {17369, 29617}, {17374, 39704}, {17395, 29608}, {19876, 31332}, {21356, 52709}, {21868, 56210}, {26039, 50129}, {26738, 31025}, {27268, 28633}, {29577, 34824}, {29604, 50099}, {29609, 61313}, {29611, 37756}, {29612, 50113}, {29614, 50120}, {29618, 49738}, {33151, 42029}, {37212, 41423}, {38191, 49772}, {41152, 49727}, {42697, 50994}, {49450, 49536}, {52335, 60668}

X(62228) = reflection of X(17250) in X(29593)
X(62228) = isotomic conjugate of the isogonal conjugate of X(9331)
X(62228) = barycentric product X(i)*X(j) for these {i,j}: {75, 9330}, {76, 9331}, {190, 48423}
X(62228) = barycentric quotient X(i)/X(j) for these {i,j}: {9330, 1}, {9331, 6}, {9334, 9332}, {48423, 514}
X(62228) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 3758, 50077}, {75, 594, 48630}, {75, 3661, 17227}, {75, 17228, 48629}, {75, 48630, 17228}, {75, 48637, 7263}, {75, 48638, 48627}, {75, 48639, 1086}, {75, 48640, 3662}, {594, 1086, 61343}, {594, 4665, 3661}, {594, 48628, 75}, {1086, 3661, 48639}, {1086, 48639, 17227}, {1086, 61343, 3661}, {1278, 17239, 17249}, {2345, 5564, 3759}, {3617, 50107, 17256}, {3661, 4665, 75}, {3661, 17227, 17228}, {3661, 48628, 4665}, {3662, 48636, 48640}, {3729, 32025, 17328}, {3943, 29576, 51488}, {4058, 4967, 17233}, {4363, 29615, 17360}, {4431, 5224, 3644}, {4445, 17116, 17361}, {4665, 61343, 1086}, {4670, 20055, 50132}, {4699, 17229, 17241}, {4798, 17299, 29588}, {4798, 29588, 17394}, {4967, 17233, 4751}, {7263, 48634, 48637}, {17117, 17293, 17370}, {17160, 17308, 17399}, {17227, 48630, 3661}, {17299, 28604, 17394}, {28604, 29588, 4798}, {48627, 48635, 48638}

X(62229) = X(2)X(4398)∩X(7)X(34064)

X(62229) lies on these lines:: {2, 4398}, {7, 34064}, {9, 19796}, {190, 19785}, {192, 3782}, {306, 3644}, {312, 3663}, {321, 4389}, {329, 50101}, {333, 4419}, {536, 27184}, {726, 32773}, {894, 50068}, {940, 4440}, {1086, 41839}, {1211, 1278}, {1266, 4656}, {1992, 20214}, {1999, 17276}, {2796, 17716}, {2887, 49445}, {3159, 33833}, {3175, 3662}, {3187, 17347}, {3210, 4415}, {3219, 49748}, {3305, 37756}, {3729, 19786}, {3752, 27130}, {3759, 17781}, {3875, 33066}, {3891, 33100}, {3914, 49447}, {3971, 33149}, {3982, 29574}, {3993, 33103}, {3994, 33125}, {3995, 17234}, {4135, 33174}, {4346, 18141}, {4357, 42029}, {4360, 5905}, {4384, 19820}, {4388, 49453}, {4417, 17147}, {4425, 49493}, {4429, 32925}, {4442, 7226}, {4452, 14555}, {4514, 49446}, {4659, 19808}, {4664, 5249}, {4854, 24349}, {4886, 17151}, {4970, 33101}, {5224, 28605}, {5271, 17258}, {5287, 7321}, {5739, 17160}, {16706, 56082}, {17184, 17233}, {17235, 22034}, {17247, 31993}, {17255, 37653}, {17261, 24789}, {17277, 19789}, {17301, 27064}, {17318, 17778}, {17334, 37652}, {17335, 19831}, {17336, 19830}, {17352, 33150}, {17354, 32774}, {17361, 50292}, {17365, 58820}, {17377, 32859}, {17378, 17483}, {17380, 26223}, {17889, 49456}, {18136, 59761}, {19828, 25728}, {20078, 41629}, {24177, 30829}, {24248, 32926}, {25527, 42033}, {26580, 50106}, {26746, 57037}, {26840, 49747}, {28516, 32778}, {28522, 33084}, {29641, 49523}, {29664, 48645}, {29673, 49517}, {32865, 49520}, {32921, 33099}, {32923, 49746}, {32928, 33098}, {32933, 33155}, {32934, 33152}, {32936, 33143}, {33064, 49452}, {33095, 49455}, {37595, 50128}, {41816, 42696}, {42034, 54311}, {44307, 48627}

X(62229) = reflection of X(32773) in X(33154)
X(62229) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {192, 3782, 18134}, {1266, 4656, 19804}, {3210, 4415, 5233}, {3995, 33146, 17234}, {4419, 30699, 333}, {5905, 50071, 4360}, {17147, 33151, 4417}, {17184, 42044, 17233}, {17336, 19830, 26723}, {25527, 55998, 42033}, {32925, 33145, 4429}

X(62230) = X(2)X(16669)∩X(81)X(320)

X(62230) lies on these lines:: {2, 16669}, {7, 19796}, {8, 19833}, {63, 17378}, {69, 19808}, {81, 320}, {86, 4001}, {193, 19804}, {312, 4644}, {319, 19797}, {333, 3664}, {524, 4886}, {527, 34064}, {940, 17364}, {1100, 26840}, {1961, 17771}, {1992, 9776}, {1999, 17365}, {3175, 31300}, {3187, 7321}, {3218, 42045}, {3219, 17317}, {3666, 20090}, {3874, 7186}, {3879, 32939}, {4038, 17770}, {4357, 42028}, {4359, 20086}, {4641, 17300}, {4649, 33068}, {4664, 20078}, {4670, 37653}, {4675, 37652}, {4851, 42033}, {5249, 41629}, {5287, 17347}, {5294, 17297}, {6646, 37595}, {7277, 27064}, {8025, 17322}, {9332, 29645}, {14996, 32859}, {16706, 37685}, {17019, 17258}, {17121, 40688}, {17276, 58820}, {17289, 32863}, {17315, 32933}, {17360, 19822}, {17373, 50048}, {17375, 32777}, {17387, 17776}, {17778, 32851}, {18134, 56519}, {19723, 27147}, {19750, 29628}, {19828, 33146}, {19832, 21296}, {19837, 56810}, {20069, 28582}, {20072, 44307}, {20101, 49478}, {22128, 56439}, {26842, 37756}, {32093, 37666}, {32913, 33073}, {32949, 33121}, {37631, 38000}, {46922, 54311}

X(62230) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {81, 320, 19786}, {940, 17364, 33066}, {3187, 7321, 19820}

X(62231) = X(1)X(4407)∩X(6)X(319)

X(62231) lies on these lines:: {1, 4407}, {2, 4690}, {6, 319}, {7, 11008}, {8, 1992}, {9, 17315}, {10, 46922}, {37, 29588}, {44, 4473}, {45, 17389}, {69, 3759}, {75, 193}, {81, 4886}, {86, 3686}, {141, 17121}, {144, 3644}, {145, 4664}, {190, 519}, {238, 49754}, {239, 320}, {344, 17386}, {391, 4687}, {518, 25048}, {527, 17160}, {536, 20016}, {594, 17120}, {597, 17292}, {599, 17367}, {648, 5081}, {662, 3684}, {742, 49715}, {752, 50016}, {894, 3629}, {896, 14459}, {966, 17394}, {1100, 1654}, {1125, 31144}, {1266, 50019}, {1447, 50251}, {1449, 5224}, {1647, 3570}, {1743, 17233}, {1757, 4439}, {2234, 4489}, {2238, 30967}, {2323, 37774}, {2325, 49761}, {2345, 51170}, {2895, 19786}, {3008, 17297}, {3187, 33066}, {3244, 50093}, {3248, 3783}, {3578, 17011}, {3589, 17287}, {3618, 17228}, {3620, 17370}, {3621, 50107}, {3630, 17288}, {3631, 17291}, {3632, 50127}, {3633, 50121}, {3662, 40341}, {3672, 17329}, {3687, 41629}, {3705, 14614}, {3707, 29574}, {3739, 20090}, {3791, 33126}, {3797, 31310}, {3834, 29590}, {3875, 17347}, {3879, 17277}, {3882, 45751}, {3912, 4700}, {3943, 28337}, {3945, 4751}, {3946, 17273}, {3975, 30939}, {4000, 17361}, {4357, 4856}, {4359, 20086}, {4360, 4416}, {4361, 6144}, {4363, 15534}, {4364, 29584}, {4384, 17378}, {4389, 16834}, {4393, 4643}, {4399, 7277}, {4405, 49727}, {4419, 50129}, {4422, 17310}, {4440, 4715}, {4480, 17133}, {4657, 17343}, {4659, 50088}, {4667, 50095}, {4670, 50082}, {4675, 16816}, {4686, 31300}, {4716, 17770}, {4741, 17301}, {4753, 32847}, {4798, 17275}, {4850, 31303}, {4851, 17263}, {4852, 6646}, {4889, 16814}, {4911, 7877}, {4938, 29632}, {5015, 7760}, {5057, 17162}, {5232, 17400}, {5263, 51196}, {5749, 48630}, {5750, 32025}, {5846, 49698}, {5847, 32850}, {6172, 20050}, {6329, 48635}, {7081, 41624}, {8584, 17369}, {9355, 28870}, {15533, 17290}, {16477, 49560}, {16522, 16826}, {16667, 17270}, {16668, 17239}, {16669, 17280}, {16670, 17294}, {16671, 17229}, {16704, 32851}, {16777, 17331}, {16815, 17392}, {16884, 17248}, {16885, 17242}, {17014, 17399}, {17023, 17271}, {17045, 17252}, {17117, 17365}, {17119, 50128}, {17230, 50076}, {17234, 31183}, {17237, 50124}, {17240, 26685}, {17241, 37650}, {17250, 26626}, {17251, 17397}, {17253, 17396}, {17254, 17395}, {17257, 17393}, {17259, 17391}, {17260, 17390}, {17261, 17388}, {17272, 17380}, {17278, 17375}, {17279, 17373}, {17281, 20055}, {17295, 17353}, {17296, 17352}, {17299, 17350}, {17300, 17348}, {17302, 17344}, {17303, 37677}, {17305, 50114}, {17309, 17339}, {17311, 17338}, {17312, 17337}, {17313, 29628}, {17314, 17336}, {17316, 17335}, {17318, 17333}, {17319, 17332}, {17321, 17328}, {17341, 30833}, {17342, 29616}, {17371, 51171}, {17483, 19820}, {17720, 31056}, {17790, 25298}, {19796, 32859}, {19808, 37685}, {19998, 22323}, {20017, 42033}, {20046, 42044}, {20058, 42720}, {20536, 26081}, {20955, 30892}, {21296, 48629}, {23659, 24437}, {24692, 50021}, {24715, 50018}, {24723, 49488}, {24841, 50017}, {25278, 41316}, {26044, 37869}, {26738, 31034}, {27191, 41140}, {27495, 36409}, {29569, 50125}, {29578, 49731}, {29585, 51488}, {29587, 50081}, {29592, 52706}, {29601, 60986}, {29609, 61302}, {29611, 59373}, {29613, 47352}, {29620, 31285}, {29659, 50283}, {29676, 32853}, {29833, 31143}, {31029, 33129}, {32029, 50026}, {32845, 49985}, {32846, 49769}, {32852, 33118}, {32861, 33121}, {32864, 33073}, {32922, 34379}, {32939, 50306}, {33076, 49685}, {33082, 49489}, {33116, 37652}, {33682, 42334}, {33891, 50248}, {36494, 49498}, {36531, 50309}, {36534, 47356}, {45222, 50277}, {45420, 56385}, {45421, 56386}, {47355, 48634}, {49450, 51192}, {50079, 54389}, {55393, 56013}

X(62231) = midpoint of X(20016) and X(20072)
X(62231) = reflection of X(i) in X(j) for these {i,j}: {239, 4969}, {320, 239}, {1266, 50019}, {3912, 4700}, {4693, 49710}, {6542, 44}, {17160, 49770}, {24692, 50021}, {24715, 50018}, {24841, 50017}, {32029, 50026}, {32847, 4753}, {49761, 2325}
X(62231) = anticomplement of X(17374)
X(62231) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17346, 17256}, {6, 319, 17289}, {6, 4445, 17368}, {6, 17363, 319}, {8, 1992, 3758}, {9, 17377, 17315}, {44, 6542, 17264}, {69, 3759, 16706}, {69, 5222, 17227}, {145, 54280, 4664}, {193, 5839, 75}, {239, 320, 37756}, {594, 32455, 17120}, {894, 17362, 5564}, {1100, 1654, 17322}, {1100, 4708, 29586}, {1654, 29586, 4708}, {3618, 32099, 17228}, {3629, 17362, 894}, {3630, 17366, 17288}, {3758, 50077, 8}, {3759, 17227, 5222}, {3879, 17277, 17317}, {4000, 20080, 17361}, {4360, 4416, 17258}, {4361, 6144, 17364}, {4361, 17364, 7321}, {4393, 4643, 17320}, {4393, 50074, 4643}, {4399, 7277, 17116}, {4643, 50131, 4393}, {4690, 16666, 2}, {4708, 29586, 17322}, {4851, 17349, 17263}, {5222, 17227, 16706}, {16667, 17270, 17381}, {16669, 17372, 17280}, {16670, 17294, 17354}, {16816, 50133, 4675}, {17275, 17379, 28653}, {17316, 37654, 17335}, {17335, 50132, 17316}, {50074, 50131, 17320}

X(62232) = X(2)X(6)∩X(14)X(7746)

X(62232) lies on these lines:: {2, 6}, {3, 22510}, {13, 19780}, {14, 7746}, {18, 16529}, {32, 37832}, {115, 36967}, {187, 36969}, {231, 51276}, {381, 19781}, {616, 10617}, {619, 22866}, {621, 22847}, {1080, 53454}, {1989, 40578}, {2076, 6108}, {2963, 18814}, {3053, 37333}, {3129, 11063}, {3458, 52154}, {5007, 42488}, {5309, 16241}, {5340, 52688}, {5611, 22511}, {5617, 35006}, {5869, 54485}, {6770, 53465}, {7739, 42092}, {7745, 43104}, {7748, 42529}, {7749, 16242}, {7753, 16966}, {7772, 42936}, {7907, 30472}, {9606, 42949}, {10616, 11300}, {10645, 11648}, {11304, 22893}, {12815, 42580}, {13103, 39554}, {13881, 42154}, {14537, 41409}, {18362, 36970}, {19570, 30471}, {20425, 22238}, {21445, 41039}, {22846, 39555}, {36759, 59383}, {41121, 41408}, {41940, 42592}, {42626, 44518}, {43620, 44289}

X(62232) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {395, 396, 3180}, {590, 615, 34541}, {13846, 13847, 5859}

X(62233) = X(2)X(6)∩X(13)X(7746)

X(62233) lies on these lines:: {2, 6}, {3, 22511}, {13, 7746}, {14, 19781}, {17, 16530}, {32, 37835}, {115, 36968}, {187, 36970}, {231, 51269}, {381, 19780}, {383, 53465}, {617, 10616}, {618, 22911}, {622, 22893}, {1989, 40579}, {2076, 6109}, {2963, 18813}, {3053, 37332}, {3130, 11063}, {3457, 52154}, {5007, 42489}, {5309, 16242}, {5339, 52689}, {5613, 35006}, {5615, 22510}, {5868, 54484}, {6773, 53454}, {7739, 42089}, {7745, 43101}, {7748, 42528}, {7749, 16241}, {7753, 16967}, {7772, 42937}, {7907, 30471}, {9606, 42948}, {10617, 11299}, {10646, 11648}, {11303, 22847}, {12815, 42581}, {13102, 39555}, {13881, 42155}, {14537, 41408}, {18362, 36969}, {19570, 30472}, {20426, 22236}, {21445, 41038}, {22891, 39554}, {36760, 59384}, {41122, 41409}, {41940, 42593}, {42625, 44518}, {43620, 52649}

X(62233) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {395, 396, 3181}, {590, 615, 34540}, {13846, 13847, 5858}

X(62234) = X(2)X(330)∩X(38)X(1920)

X(62234) lies on these lines:: {1, 30964}, {2, 330}, {38, 1920}, {42, 34020}, {43, 25286}, {57, 18056}, {75, 4392}, {76, 23473}, {171, 18064}, {238, 799}, {244, 1921}, {274, 30970}, {310, 3741}, {320, 350}, {334, 3006}, {561, 982}, {668, 899}, {700, 24413}, {714, 35532}, {726, 1978}, {811, 1430}, {873, 59643}, {874, 32845}, {1278, 39467}, {1458, 4554}, {1575, 59519}, {1965, 7191}, {1966, 3218}, {1977, 39914}, {3112, 17598}, {3240, 24524}, {3662, 30632}, {3666, 18059}, {3720, 31008}, {3760, 31137}, {3761, 29827}, {3840, 18152}, {3945, 20091}, {3948, 30967}, {3952, 25302}, {4022, 6385}, {4033, 41142}, {4346, 4441}, {4358, 18149}, {4359, 51863}, {4495, 18075}, {4871, 6381}, {5211, 20345}, {6374, 17157}, {6382, 17155}, {7018, 17184}, {7196, 7247}, {7244, 33764}, {7292, 39044}, {8033, 32772}, {8620, 19565}, {10453, 17137}, {10980, 18078}, {11339, 16502}, {16610, 59526}, {16706, 18058}, {17029, 52044}, {17126, 52138}, {17135, 25293}, {17143, 31136}, {17165, 41318}, {17486, 20284}, {17495, 53363}, {17756, 17786}, {18057, 18739}, {18068, 18193}, {18135, 30947}, {18140, 30950}, {18275, 35525}, {20530, 31645}, {20889, 42038}, {20935, 37655}, {21877, 26767}, {22199, 26974}, {24165, 40087}, {24197, 41535}, {25303, 29822}, {26840, 30660}, {26959, 30955}, {30940, 32919}, {30969, 40017}, {31000, 33788}, {32035, 46150}, {32925, 59518}, {33787, 54284}, {34022, 45223}, {34086, 42027}

X(62234) = X(53641)-anticomplementary conjugate of X(69)
X(62234) = X(3227)-Ceva conjugate of X(75)
X(62234) = X(i)-isoconjugate of X(j) for these (i,j): {42, 715}, {1918, 18826}
X(62234) = X(i)-Dao conjugate of X(j) for these (i,j): {2229, 899}, {6381, 536}, {34021, 18826}, {40592, 715}
X(62234) = crossdifference of every pair of points on line {213, 8640}
X(62234) = barycentric product X(i)*X(j) for these {i,j}: {81, 35532}, {274, 714}, {310, 2229}, {514, 53366}, {1921, 36817}, {3227, 52882}
X(62234) = barycentric quotient X(i)/X(j) for these {i,j}: {81, 715}, {274, 18826}, {714, 37}, {2229, 42}, {35532, 321}, {36817, 292}, {52882, 536}, {53366, 190}
X(62234) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6384, 17149, 2}, {18149, 52049, 4358}, {24165, 59505, 40087}

X(62235) = X(1)X(21)∩X(2)X(3715)

X(62235) lies on these lines:: {1, 21}, {2, 3715}, {6, 4392}, {7, 15346}, {8, 2094}, {9, 58607}, {11, 5852}, {42, 17593}, {44, 3290}, {45, 24512}, {55, 4430}, {57, 3681}, {69, 33089}, {72, 5253}, {88, 291}, {89, 1390}, {100, 518}, {104, 35459}, {105, 56513}, {141, 33170}, {145, 34610}, {149, 17768}, {190, 29824}, {200, 9352}, {210, 9342}, {238, 3315}, {244, 1757}, {320, 3006}, {329, 5729}, {333, 17140}, {354, 3219}, {388, 3617}, {404, 5904}, {497, 20078}, {516, 13243}, {517, 38669}, {519, 3245}, {523, 4467}, {524, 32842}, {527, 1156}, {528, 35596}, {537, 17763}, {550, 944}, {553, 25006}, {726, 32919}, {750, 49448}, {894, 46909}, {902, 49675}, {908, 5850}, {940, 7226}, {942, 5260}, {956, 1159}, {982, 32911}, {984, 37633}, {1054, 21805}, {1086, 33139}, {1150, 24349}, {1255, 3989}, {1266, 50758}, {1320, 55929}, {1376, 4661}, {1449, 39251}, {1758, 53531}, {1776, 18839}, {1788, 26482}, {1961, 42039}, {2078, 14151}, {2095, 59387}, {2177, 49498}, {2246, 3509}, {2308, 17598}, {2801, 5536}, {2810, 56878}, {2886, 17483}, {3058, 10032}, {3240, 17595}, {3242, 17126}, {3243, 35258}, {3305, 10980}, {3306, 5223}, {3333, 3951}, {3337, 3678}, {3338, 3876}, {3361, 3984}, {3434, 9965}, {3474, 49719}, {3475, 55868}, {3487, 5550}, {3555, 56288}, {3579, 10167}, {3616, 3927}, {3621, 17784}, {3625, 45287}, {3634, 5557}, {3648, 15171}, {3650, 15172}, {3660, 37787}, {3662, 33114}, {3683, 29817}, {3703, 32863}, {3705, 32859}, {3711, 61156}, {3720, 33761}, {3741, 32940}, {3742, 27065}, {3751, 4850}, {3782, 33142}, {3816, 26792}, {3840, 32938}, {3870, 3928}, {3888, 50003}, {3891, 37683}, {3925, 26842}, {3929, 4666}, {3937, 9052}, {3938, 4650}, {3957, 4640}, {3977, 4684}, {3994, 24821}, {4001, 33075}, {4003, 4663}, {4018, 4861}, {4031, 24393}, {4067, 5563}, {4084, 5288}, {4114, 61031}, {4252, 36565}, {4292, 5178}, {4310, 24597}, {4316, 9963}, {4358, 4756}, {4389, 29829}, {4414, 49490}, {4420, 37582}, {4427, 17145}, {4438, 33069}, {4440, 4442}, {4511, 5126}, {4641, 7191}, {4649, 46901}, {4652, 41863}, {4655, 33120}, {4683, 29655}, {4693, 50001}, {4722, 29821}, {4767, 5205}, {4847, 20292}, {4884, 33093}, {4912, 4956}, {4921, 32914}, {4966, 32849}, {4972, 26840}, {4973, 13587}, {5047, 18398}, {5080, 12019}, {5083, 7677}, {5086, 24391}, {5087, 59377}, {5211, 20072}, {5231, 10129}, {5235, 24325}, {5249, 43180}, {5274, 20214}, {5297, 37520}, {5303, 34772}, {5528, 30295}, {5542, 54357}, {5657, 32213}, {5694, 45977}, {5708, 5815}, {5779, 9779}, {5843, 9809}, {5905, 11680}, {6583, 6920}, {6594, 60989}, {6762, 14923}, {6905, 12738}, {6986, 12005}, {7174, 9347}, {7232, 25959}, {7277, 17726}, {7779, 60446}, {9335, 37679}, {9802, 28212}, {10308, 43741}, {10394, 54408}, {10453, 32933}, {10883, 60895}, {11019, 17781}, {11025, 61005}, {11220, 41338}, {11246, 33110}, {11269, 33151}, {11349, 50378}, {12528, 12704}, {12648, 34744}, {12701, 28646}, {13373, 26878}, {14450, 24390}, {14829, 17165}, {15481, 35595}, {16704, 17154}, {16816, 24596}, {17063, 37687}, {17127, 17597}, {17135, 32939}, {17141, 17206}, {17150, 41629}, {17155, 32853}, {17156, 50106}, {17184, 33121}, {17276, 33134}, {17288, 48647}, {17364, 33070}, {17365, 33112}, {17536, 58565}, {17591, 61358}, {17599, 37685}, {17722, 61707}, {17728, 27131}, {17770, 32844}, {17771, 32843}, {20042, 31301}, {20045, 24841}, {20067, 44669}, {20068, 32926}, {23155, 26893}, {24165, 32864}, {24231, 33129}, {24468, 33557}, {24589, 60731}, {24627, 46897}, {24723, 29835}, {24725, 29676}, {24892, 33103}, {25722, 30353}, {26227, 49499}, {26234, 60729}, {28610, 30332}, {29636, 50285}, {29662, 33101}, {29673, 33067}, {29690, 33097}, {30478, 46934}, {30628, 60990}, {30831, 33064}, {30942, 32935}, {31146, 60905}, {31204, 33130}, {31302, 37684}, {31673, 54154}, {32636, 57283}, {32779, 49511}, {32856, 33140}, {32857, 33136}, {32917, 49479}, {32936, 42057}, {33080, 33169}, {33081, 33167}, {33085, 33162}, {33086, 49524}, {33087, 33161}, {33098, 33141}, {33115, 49676}, {33124, 56520}, {33137, 33146}, {33148, 35466}, {33153, 37646}, {33163, 33172}, {33173, 44416}, {34784, 60968}, {37540, 54281}, {38460, 44663}, {39594, 42044}, {40216, 57785}, {41555, 52254}, {42014, 60984}, {42871, 61155}, {46483, 48936}, {50755, 53601}, {52255, 61011}

X(62235) = reflection of X(i) in X(j) for these {i,j}: {100, 3218}, {149, 51463}, {3935, 1155}, {5057, 26015}, {9963, 4316}, {17484, 11}, {36002, 5536}
X(62235) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {1121, 21287}, {1156, 1330}, {1333, 39357}, {2291, 2895}, {34056, 2893}, {34068, 1654}, {35348, 3448}, {60047, 52364}, {60479, 21294}
X(62235) = X(6)-isoconjugate of X(60094)
X(62235) = X(9)-Dao conjugate of X(60094)
X(62235) = crossdifference of every pair of points on line {661, 1643}
X(62235) = barycentric product X(i)*X(j) for these {i,j}: {1, 17297}, {75, 5030}, {100, 48571}
X(62235) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 60094}, {5030, 1}, {17297, 75}, {48571, 693}
X(62235) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {38, 32913, 81}, {44, 3999, 7292}, {63, 3873, 1621}, {210, 27003, 9342}, {238, 17449, 3315}, {244, 1757, 37680}, {354, 3219, 5284}, {899, 18201, 88}, {982, 32912, 32911}, {1155, 3935, 100}, {1776, 18839, 53055}, {2975, 3868, 34195}, {2975, 34195, 51683}, {3218, 3935, 1155}, {3337, 3678, 17531}, {3868, 3897, 12559}, {3874, 6763, 21}, {3989, 4038, 1255}, {4003, 4663, 17012}, {4641, 21342, 7191}, {4661, 23958, 1376}, {4722, 42038, 29821}, {4860, 5220, 2}, {5057, 26015, 10707}, {5231, 31164, 10129}, {5905, 24477, 11680}, {16704, 17154, 32922}, {18201, 49712, 899}, {20068, 37639, 32926}, {28610, 36845, 44447}, {30942, 32935, 41242}, {33064, 33119, 30831}, {36263, 54352, 1}, {36845, 44447, 34611}, {37520, 49515, 5297}

X(62236) = X(1)X(4015)∩X(8)X(442)

X(62236) lies on these lines:: {1, 4015}, {2, 3711}, {8, 442}, {9, 1174}, {35, 51570}, {42, 17600}, {55, 4661}, {63, 31508}, {78, 61762}, {80, 519}, {81, 3961}, {88, 17449}, {100, 518}, {145, 2551}, {200, 3306}, {210, 3957}, {214, 54391}, {244, 5524}, {329, 34611}, {354, 9342}, {528, 17484}, {535, 9963}, {537, 4954}, {661, 48337}, {750, 49498}, {756, 3979}, {758, 5541}, {899, 3315}, {902, 49712}, {956, 2320}, {1100, 3920}, {1376, 4430}, {1391, 4511}, {1482, 3850}, {1538, 10698}, {1757, 3722}, {2098, 20014}, {2099, 31145}, {2177, 49448}, {2238, 16777}, {2895, 4030}, {2975, 3612}, {3006, 49698}, {3058, 26792}, {3240, 3242}, {3241, 3940}, {3434, 20015}, {3555, 4420}, {3621, 12635}, {3625, 41696}, {3632, 10129}, {3633, 5330}, {3679, 21026}, {3685, 4756}, {3699, 29824}, {3717, 50744}, {3740, 29817}, {3744, 16669}, {3748, 27065}, {3750, 33761}, {3868, 54286}, {3869, 3895}, {3871, 5904}, {3881, 17531}, {3890, 3984}, {3891, 20012}, {3911, 14151}, {3938, 32911}, {3996, 17165}, {4060, 4071}, {4090, 32943}, {4127, 37563}, {4144, 17299}, {4358, 4767}, {4414, 49503}, {4547, 5506}, {4555, 57929}, {4669, 5425}, {4671, 49460}, {4684, 49991}, {4685, 32923}, {4692, 4720}, {4711, 44840}, {4716, 49983}, {4737, 49687}, {4792, 30575}, {4819, 28503}, {4849, 7191}, {4850, 16496}, {4860, 61156}, {4863, 31053}, {4864, 7292}, {4882, 11520}, {4900, 55924}, {4917, 12526}, {4946, 49464}, {4966, 60459}, {5057, 5853}, {5080, 12690}, {5220, 61155}, {5235, 49457}, {5259, 32635}, {5260, 34790}, {5297, 49478}, {5303, 56176}, {5328, 36845}, {5375, 6603}, {5531, 36002}, {5537, 13243}, {5730, 20050}, {5844, 48667}, {5846, 56886}, {5852, 6154}, {5905, 49719}, {7411, 15104}, {7677, 37736}, {7779, 20056}, {9052, 56878}, {9053, 32842}, {9780, 50394}, {10699, 17310}, {10912, 20054}, {11523, 14923}, {11680, 25568}, {14459, 17769}, {14943, 41798}, {15570, 61686}, {15733, 56551}, {15934, 53620}, {16506, 16704}, {16610, 54309}, {17012, 21870}, {17145, 17780}, {17160, 39744}, {17483, 34612}, {17495, 24841}, {17535, 50190}, {17724, 33139}, {17765, 32843}, {17768, 20095}, {17784, 20059}, {19878, 36946}, {19998, 32922}, {20011, 32926}, {20048, 49486}, {20078, 34607}, {20085, 44669}, {26015, 31272}, {26227, 49450}, {26627, 51055}, {26842, 49732}, {27479, 49459}, {27757, 49702}, {29632, 49693}, {29673, 30831}, {29685, 31247}, {30615, 32858}, {30985, 32920}, {31143, 33076}, {32779, 49529}, {32846, 49996}, {32851, 49714}, {32917, 49510}, {32931, 49458}, {32941, 41242}, {33077, 49688}, {33115, 49697}, {33129, 49772}, {33175, 49524}, {34772, 51683}, {37633, 49490}, {40216, 57815}, {41539, 60948}, {41555, 60996}, {44447, 60957}, {54352, 56010}

X(62236) = reflection of X(i) in X(j) for these {i,j}: {100, 3935}, {1320, 4867}, {3218, 3689}, {13243, 5537}, {36002, 5531}
X(62236) = anticomplement of X(51463)
X(62236) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {88, 2890}, {1174, 30578}, {2346, 21290}
X(62236) = crossdifference of every pair of points on line {1643, 48151}
X(62236) = barycentric product X(100)*X(47772)
X(62236) = barycentric quotient X(47772)/X(693)
X(62236) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4015, 17536}, {1, 21805, 37680}, {210, 3957, 5284}, {210, 42819, 35595}, {899, 49675, 3315}, {3218, 3689, 100}, {3218, 3935, 3689}, {3555, 4420, 5253}, {3681, 3870, 1621}, {3711, 41711, 42871}, {3711, 42871, 2}, {3871, 5904, 11684}, {3957, 35595, 42819}, {17449, 56009, 88}, {21870, 49465, 17012}, {35595, 42819, 5284}, {49697, 50748, 33115}

X(62237) = X(4)X(524)∩X(230)X(393)

X(62237) lies on these lines:: {4, 524}, {25, 22329}, {53, 3186}, {107, 16315}, {230, 393}, {264, 305}, {297, 8754}, {317, 44369}, {338, 45279}, {385, 6995}, {403, 523}, {419, 1990}, {460, 648}, {468, 10416}, {1300, 10098}, {1596, 43976}, {1632, 16310}, {1843, 56022}, {3535, 44393}, {3536, 44400}, {3564, 20774}, {4232, 8859}, {5094, 41133}, {5140, 8681}, {5523, 52490}, {7378, 7840}, {7408, 44367}, {7409, 7779}, {7577, 44388}, {7718, 50776}, {8370, 9813}, {8541, 52281}, {8753, 17948}, {8889, 22110}, {9308, 41762}, {14165, 16316}, {16081, 16098}, {16230, 33919}, {16264, 35480}, {17907, 37453}, {18533, 33971}, {21447, 47847}, {34383, 52460}, {35481, 40879}, {36207, 44438}, {37777, 47242}, {38282, 44401}, {41139, 52290}, {44134, 57533}, {44366, 55573}, {44374, 55569}, {44377, 52299}, {49542, 50250}, {51358, 51428}, {53481, 59561}

X(62237) = midpoint of X(4) and X(38294)
X(62237) = polar-circle-inverse of X(15098)
X(62237) = polar conjugate of X(41909)
X(62237) = isotomic conjugate of the isogonal conjugate of X(5140)
X(62237) = polar conjugate of the isotomic conjugate of X(47286)
X(62237) = polar conjugate of the isogonal conjugate of X(3291)
X(62237) = X(59762)-Ceva conjugate of X(2501)
X(62237) = X(i)-isoconjugate of X(j) for these (i,j): {48, 41909}, {255, 2374}, {34161, 36060}
X(62237) = X(i)-Dao conjugate of X(j) for these (i,j): {126, 3}, {1249, 41909}, {1560, 34161}, {3291, 6390}, {6523, 2374}
X(62237) = cevapoint of X(3291) and X(5140)
X(62237) = barycentric product X(i)*X(j) for these {i,j}: {4, 47286}, {76, 5140}, {126, 17983}, {264, 3291}, {297, 36874}, {648, 9134}, {2052, 8681}, {2501, 53367}, {5523, 56685}, {11634, 14618}, {14263, 44146}, {16756, 41013}, {21905, 59762}
X(62237) = barycentric quotient X(i)/X(j) for these {i,j}: {4, 41909}, {126, 6390}, {297, 36892}, {393, 2374}, {468, 34161}, {3291, 3}, {5140, 6}, {5523, 56579}, {8681, 394}, {8753, 15387}, {9134, 525}, {11634, 4558}, {14263, 895}, {16756, 1444}, {17983, 44182}, {36874, 287}, {44467, 61444}, {47286, 69}, {51819, 14908}, {53367, 4563}, {55271, 14417}

X(62238) = X(1)X(6)∩X(19)X(4287)

X(62238) lies on these lines:: {1, 6}, {19, 4287}, {36, 61704}, {284, 7300}, {374, 3196}, {572, 5341}, {573, 35459}, {1030, 2262}, {1155, 5124}, {1159, 5120}, {1192, 32318}, {1319, 61650}, {1385, 19297}, {1442, 5723}, {2082, 4289}, {2174, 2246}, {2278, 7297}, {2347, 46823}, {2646, 54409}, {3285, 54356}, {3872, 50087}, {3935, 17362}, {3943, 4861}, {4268, 5356}, {4364, 26639}, {4511, 17330}, {4969, 34772}, {5126, 21773}, {5297, 37661}, {5483, 26724}, {5718, 17021}, {7113, 17451}, {7269, 17334}, {10601, 56041}, {11009, 21864}, {16589, 45883}, {17012, 35466}, {17013, 24597}, {17259, 44179}, {17311, 55392}, {17595, 18179}, {36279, 36743}, {36744, 37606}, {37525, 61695}, {38460, 50113}, {50349, 55195}

X(62238) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {572, 17443, 5341}, {1100, 43065, 6}

X(62239) = X(1)X(6)∩X(36)X(21864)

X(62239) lies on these lines:: {1, 6}, {36, 21864}, {78, 50087}, {101, 7297}, {374, 33176}, {394, 56352}, {517, 19297}, {650, 48302}, {997, 61321}, {1030, 37568}, {1252, 3726}, {1442, 17334}, {1990, 15500}, {2161, 22356}, {2174, 17452}, {2178, 37567}, {3057, 54409}, {3196, 5048}, {3204, 7300}, {3621, 27522}, {3943, 4511}, {4422, 26639}, {4861, 17330}, {4969, 38460}, {5124, 21871}, {7113, 17439}, {7269, 17245}, {11009, 61704}, {11011, 61650}, {11063, 32760}, {16701, 18198}, {17012, 37663}, {17021, 37634}, {17022, 31201}, {17262, 44179}, {17281, 30144}, {17311, 55391}, {17314, 27395}, {17438, 21809}, {21773, 21853}, {26672, 40480}, {34772, 50113}

X(62239) = crossdifference of every pair of points on line {513, 37582}
X(62239) = X(21773)-line conjugate of X(37582)
X(62239) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {101, 17444, 7297}, {6603, 8609, 17796}, {16777, 17796, 8609}, {17439, 21801, 7113}

X(62240) = X(1)X(9965)∩X(6)X(553)

X(62240) lies on these lines:: {1, 9965}, {2, 3973}, {6, 553}, {7, 23681}, {10, 4001}, {31, 5542}, {38, 4349}, {57, 2183}, {58, 26728}, {63, 3664}, {81, 3663}, {89, 31053}, {142, 4641}, {144, 17022}, {222, 2219}, {226, 17365}, {269, 54369}, {333, 50116}, {527, 940}, {551, 8025}, {612, 5850}, {750, 21060}, {1086, 4114}, {1203, 24171}, {1407, 52819}, {1412, 18162}, {1468, 3671}, {1743, 9776}, {1754, 43177}, {2177, 50808}, {2650, 4297}, {2999, 7271}, {3187, 53594}, {3219, 29571}, {3244, 17147}, {3332, 30304}, {3452, 37520}, {3626, 19825}, {3631, 50052}, {3666, 4667}, {3687, 17364}, {3720, 51090}, {3752, 4031}, {3755, 11246}, {3772, 3982}, {3782, 60962}, {3817, 24725}, {3879, 32939}, {3914, 30424}, {3928, 5712}, {3929, 4648}, {3945, 28610}, {3950, 32933}, {3980, 4061}, {4054, 37639}, {4082, 32935}, {4104, 17771}, {4292, 48837}, {4298, 54421}, {4340, 54422}, {4480, 41839}, {4654, 37642}, {4682, 5852}, {4697, 49511}, {4715, 5743}, {4847, 32913}, {4887, 19785}, {4896, 5249}, {5287, 20078}, {5294, 21255}, {5905, 39595}, {6354, 61021}, {6703, 17345}, {7321, 41629}, {11019, 41011}, {14552, 25590}, {17023, 26840}, {17074, 41572}, {17205, 61409}, {17298, 26065}, {17300, 56078}, {17376, 44416}, {17781, 37633}, {18141, 50127}, {19645, 43172}, {20086, 50306}, {20101, 49466}, {24165, 51196}, {24169, 59408}, {24175, 32911}, {24199, 37652}, {24391, 49745}, {24695, 40998}, {24789, 60980}, {25734, 59585}, {26723, 26842}, {27003, 45204}, {29594, 32863}, {35578, 37655}, {35596, 41819}, {37683, 50128}, {37685, 50114}, {42055, 49684}, {44307, 60942}

X(62240) = reflection of X(i) in X(j) for these {i,j}: {4061, 3980}, {4656, 940}
X(62240) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 553, 24177}, {7, 37666, 23681}, {23681, 37666, 40940}, {32913, 50307, 4847}

X(62241) = X(2)X(61310)∩X(3)X(6)

X(62241) lies on these lines:: {2, 61310}, {3, 6}, {115, 3068}, {491, 7818}, {493, 41445}, {590, 32419}, {637, 32785}, {639, 32789}, {1015, 19038}, {1500, 18996}, {1506, 1588}, {1569, 19056}, {1571, 19004}, {1587, 7756}, {2067, 31471}, {2549, 7585}, {3071, 31481}, {3301, 31451}, {5286, 42522}, {5355, 44596}, {5410, 33843}, {5475, 42215}, {6459, 7747}, {6462, 7758}, {6781, 9541}, {7582, 31401}, {7583, 7748}, {7584, 31455}, {7603, 13785}, {7736, 61329}, {7737, 61328}, {7746, 8981}, {7749, 9540}, {7753, 31403}, {8972, 43134}, {8976, 39565}, {9651, 19028}, {9664, 19030}, {9681, 19103}, {11648, 32787}, {13651, 22646}, {13846, 18362}, {13881, 13903}, {18424, 18538}, {18510, 31489}, {18512, 44526}, {18991, 31437}, {19027, 31501}, {19060, 46301}, {21640, 39913}, {21655, 53060}, {21843, 43509}, {23249, 26441}, {23259, 43457}, {23267, 43619}, {23273, 31415}, {31454, 49221}, {42258, 44647}, {43210, 49260}, {43618, 61335}, {61337, 61388}

X(62241) = reflection of X(8588) in X(9675)
X(62241) = isogonal conjugate of X(54505)
X(62241) = Schoutte-circle-inverse of X(12974)
X(62241) = X(1)-isoconjugate of X(54505)
X(62241) = X(3)-Dao conjugate of X(54505)
X(62241) = barycentric quotient X(6)/X(54505)
X(62241) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 371, 9675}, {6, 6221, 187}, {6, 6411, 8376}, {6, 9602, 1384}, {6, 9675, 32}, {6, 53095, 6395}, {15, 16, 12974}, {371, 1504, 32}, {371, 12962, 1504}, {372, 9674, 15515}, {1151, 5062, 5206}, {1504, 9675, 6}, {3592, 6422, 5058}, {5058, 6422, 7772}, {6441, 6444, 6}, {6459, 31411, 7747}, {8588, 9684, 6200}

X(62242) = X(2)X(61311)∩X(3)X(6)

X(62242) lies on these lines:: {2, 61311}, {3, 6}, {115, 3069}, {492, 7818}, {494, 41444}, {615, 32421}, {638, 32786}, {640, 32790}, {1015, 19037}, {1500, 18995}, {1506, 1587}, {1569, 19055}, {1571, 19003}, {1588, 7756}, {2549, 7586}, {3299, 31451}, {5286, 42523}, {5355, 44595}, {5411, 33843}, {5475, 42216}, {6460, 7747}, {6463, 7758}, {6781, 44597}, {7581, 31401}, {7583, 31455}, {7584, 7748}, {7603, 13665}, {7736, 61328}, {7737, 61329}, {7746, 13966}, {7749, 13935}, {8982, 23259}, {9651, 19027}, {9664, 19029}, {9698, 31411}, {11648, 32788}, {13651, 31463}, {13770, 22617}, {13847, 18362}, {13881, 13961}, {13941, 43133}, {13951, 39565}, {18424, 18762}, {18510, 44526}, {18512, 31489}, {19028, 31501}, {19059, 46301}, {21641, 39913}, {21656, 53061}, {21843, 43510}, {23249, 43457}, {23267, 31415}, {23273, 43619}, {42259, 44648}, {43209, 49263}, {43618, 61336}, {61338, 61389}

X(62242) = isogonal conjugate of X(54504)
X(62242) = Schoutte-circle-inverse of X(12975)
X(62242) = X(1)-isoconjugate of X(54504)
X(62242) = X(3)-Dao conjugate of X(54504)
X(62242) = barycentric quotient X(6)/X(54504)
X(62242) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 6396, 9675}, {6, 6398, 187}, {6, 6412, 8375}, {6, 53095, 6199}, {15, 16, 12975}, {372, 1505, 32}, {372, 12969, 1505}, {1152, 5058, 5206}, {3594, 6421, 5062}, {5062, 6421, 7772}, {6396, 9675, 8588}, {6442, 6443, 6}

X(62243) = X(6)X(3305)∩X(9)X(37672)

X(62243) lies on these lines: {6, 3305}, {9, 37672}, {57, 219}, {154, 3781}, {220, 394}, {222, 52405}, {323, 55438}, {599, 56456}, {1350, 26885}, {1407, 15066}, {1498, 3587}, {1790, 42316}, {2256, 20182}, {2323, 17825}, {3292, 26867}, {3690, 6090}, {3929, 23140}, {4445, 52412}, {6180, 20214}, {15069, 21015}, {15668, 40435}, {17814, 37584}, {21358, 56462}, {26872, 53415}, {26942, 59767}, {47352, 56458}, {52423, 59777}

X(62243) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {219, 17811, 55405}, {220, 394, 55406}, {220, 62207, 3219}, {394, 3219, 62207}, {3219, 62207, 55406}, {15066, 55466, 1407}

X(62244) = X(6)X(3305)∩X(9)X(37672)

X(62244) lies on these lines: {2, 62207}, {6, 3306}, {9, 222}, {57, 23140}, {154, 3784}, {220, 15066}, {221, 5289}, {323, 55437}, {329, 43036}, {394, 1407}, {599, 56457}, {651, 5328}, {1350, 26884}, {1498, 7171}, {2003, 17825}, {3292, 26866}, {3937, 6090}, {7232, 17923}, {15069, 26933}, {21358, 56464}, {26871, 53415}, {26932, 59767}, {28796, 41801}, {37543, 60980}, {47352, 56455}

X(62244) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {57, 23140, 37672}, {222, 17811, 55406}, {394, 1407, 55405}, {15066, 22129, 220}

X(62245) = X(1)X(6)∩X(48)X(37499)

X(62245lies on these lines: {1, 6}, {48, 37499}, {55, 21748}, {63, 37672}, {71, 14528}, {101, 22147}, {154, 26893}, {198, 22356}, {268, 3284}, {281, 17362}, {323, 22129}, {394, 1407}, {524, 27509}, {572, 42316}, {573, 3207}, {597, 56466}, {599, 56445}, {604, 1802}, {651, 36640}, {1146, 5839}, {1350, 7193}, {1404, 7368}, {1405, 1696}, {1944, 4361}, {1993, 55406}, {1994, 55438}, {2098, 40968}, {2175, 10387}, {2245, 37519}, {2261, 21871}, {2269, 4258}, {2289, 7113}, {2317, 54322}, {3220, 53097}, {3306, 17811}, {3686, 46835}, {3689, 7074}, {3690, 11402}, {3711, 61397}, {3759, 27420}, {3781, 5085}, {3927, 8555}, {3928, 23140}, {4336, 42014}, {4383, 5328}, {4856, 41006}, {4969, 53994}, {5042, 16283}, {5228, 37659}, {5792, 10446}, {6180, 20059}, {6510, 60974}, {6610, 60990}, {7085, 17809}, {8550, 26939}, {10601, 35595}, {11477, 24320}, {13366, 26867}, {15066, 55437}, {15817, 54409}, {15905, 35072}, {17121, 30854}, {17275, 40942}, {17301, 61002}, {17346, 27547}, {17348, 27384}, {17363, 37774}, {17366, 52457}, {17455, 36743}, {17810, 26885}, {20110, 26668}, {21358, 56452}, {21811, 34471}, {23292, 26872}, {24391, 51617}, {25878, 60996}, {26059, 46922}, {26932, 40341}, {27508, 37654}, {40138, 55116}, {45755, 57237}, {46889, 56000}, {47352, 56446}

X(62245) = X(i)-Ceva conjugate of X(j) for these (i,j): {3680, 55}, {3928, 5204}
X(62245) = X(i)-isoconjugate of X(j) for these (i,j): {7, 41441}, {57, 7319}
X(62245) = X(i)-Dao conjugate of X(j) for these (i,j): {1743, 39126}, {5452, 7319}
X(62245) = barycentric product X(i)*X(j) for these {i,j}: {8, 5204}, {9, 3928}, {21, 3962}, {41, 21605}, {55, 21296}, {219, 17917}, {281, 23140}, {284, 4035}, {3680, 45036}
X(62245) = barycentric quotient X(i)/X(j) for these {i,j}: {41, 41441}, {55, 7319}, {3928, 85}, {3962, 1441}, {4035, 349}, {5204, 7}, {17917, 331}, {21296, 6063}, {21605, 20567}, {23140, 348}, {45036, 39126}
X(62245) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 219, 220}, {9, 1100, 34522}, {44, 2324, 34524}, {63, 37672, 62207}, {219, 2323, 6}, {219, 55432, 52405}, {394, 55405, 1407}, {573, 20818, 3207}, {1993, 55466, 55406}, {5239, 5240, 12635}, {5839, 27382, 1146}

X(62246) = X(1)X(6)∩X(63)X(323)

X(62246) lies on these lines: {1, 6}, {40, 11456}, {48, 37508}, {57, 15066}, {63, 323}, {71, 3431}, {84, 37483}, {101, 28203}, {198, 22147}, {268, 33636}, {284, 35193}, {394, 3928}, {399, 610}, {573, 22356}, {651, 60977}, {692, 41454}, {965, 45923}, {1253, 41457}, {1332, 17296}, {1495, 26893}, {1766, 16554}, {1802, 5030}, {1944, 17117}, {1993, 3929}, {2003, 55466}, {2268, 2364}, {2287, 4034}, {2289, 34544}, {2317, 3730}, {3098, 7193}, {3211, 41456}, {3219, 11004}, {3220, 33878}, {3305, 15018}, {3452, 14997}, {3619, 56452}, {3620, 56445}, {3630, 26932}, {3690, 44109}, {3781, 5092}, {5127, 33628}, {5285, 26864}, {5325, 37685}, {5437, 55399}, {5709, 15068}, {5745, 14996}, {6173, 37659}, {7110, 17275}, {7322, 61395}, {7359, 17362}, {9463, 56558}, {10987, 59734}, {15032, 55104}, {17299, 36910}, {20080, 27509}, {22136, 54422}, {23073, 37499}, {24320, 44456}, {24468, 54420}, {25878, 38093}, {26885, 34417}, {30827, 37680}, {31424, 51340}, {33633, 60990}, {34573, 56468}, {39874, 50861}, {51780, 52423}, {53996, 60989}, {61397, 62218}

X(62246) = X(56091)-Ceva conjugate of X(55)
X(62246) = X(57)-isoconjugate of X(5560)
X(62246) = X(5452)-Dao conjugate of X(5560)
X(62246) = barycentric product X(i)*X(j) for these {i,j}: {8, 7280}, {21, 4067}, {55, 17361}
X(62246) = barycentric quotient X(i)/X(j) for these {i,j}: {55, 5560}, {4067, 1441}, {7280, 7}, {17361, 6063}
X(62246) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 219, 52405}, {6, 52405, 9}, {219, 2323, 9}, {2323, 52405, 6}

X(62247) = X(6)X(25)∩X(371)X(5892)

X(62247) lies on these lines: {6, 25}, {371, 5892}, {373, 13846}, {485, 14845}, {486, 5891}, {511, 32788}, {590, 6688}, {615, 3819}, {1152, 36987}, {1154, 7584}, {1216, 58866}, {1328, 16194}, {1588, 5890}, {2781, 46689}, {2979, 3069}, {3060, 19053}, {3068, 11451}, {3071, 6000}, {3594, 45186}, {3917, 13847}, {5063, 8576}, {5446, 6420}, {5447, 35813}, {5462, 6419}, {5640, 19054}, {5907, 53516}, {5943, 32787}, {6459, 20791}, {6561, 14855}, {7582, 12239}, {7583, 13364}, {7586, 62187}, {7725, 19001}, {8577, 33872}, {11455, 23259}, {11695, 31454}, {11793, 43880}, {12099, 46688}, {13345, 26894}, {13348, 41964}, {13754, 35823}, {13785, 18435}, {13935, 54041}, {13961, 54047}, {13966, 54042}, {13993, 44324}, {16836, 41945}, {19041, 19045}, {23261, 32062}, {32786, 44299}, {35256, 54044}

X(62248) = X(6)X(25)∩X(372)X(5892)

X(62248) lies on these lines: {6, 25}, {372, 5892}, {373, 13847}, {485, 5891}, {486, 14845}, {511, 32787}, {590, 3819}, {615, 6688}, {1151, 36987}, {1154, 7583}, {1216, 8960}, {1327, 16194}, {1587, 5890}, {2781, 46688}, {2979, 3068}, {3060, 19054}, {3069, 11451}, {3070, 6000}, {3592, 45186}, {3917, 13846}, {5063, 8577}, {5446, 6419}, {5447, 35812}, {5462, 6420}, {5640, 19053}, {5907, 53513}, {5943, 32788}, {6460, 20791}, {6560, 14855}, {7581, 12240}, {7584, 13364}, {7585, 62187}, {7726, 19002}, {8576, 33872}, {8981, 54042}, {9540, 54041}, {11455, 23249}, {11793, 43879}, {12099, 46689}, {12111, 31414}, {13345, 26919}, {13348, 41963}, {13665, 18435}, {13754, 35822}, {13903, 54047}, {13925, 44324}, {15644, 31454}, {16836, 41946}, {19042, 19046}, {23251, 32062}, {31487, 37484}, {32785, 44299}, {35255, 54044}

  Tran-Lozada perspectors: X(62249) - X(62265)  

The following two ennunciates, slightly modified, are proposed by Tran Viet Hung in Romantics of geometry, March 15, 2023:

1) Let ABC be a triangle, P', P" two distinct points and A'B'C', A"B"C" their respective circumcevian triangles, such that A', A" are in the same side with respect to the line BC, and similarly B', B" and C', C". Let (a*) be the circle through A' and A" tangent to sideline BC, with center closer to the line BC. Let A_t be the touchpoint of (a*) and BC, and define B_t, C_t cyclically. Then the lines AA_t, BB_t, CC_t are concurrent in a point Q₁(P', P").

The point of concurrence Q₁(P', P") is named here the Tran-Lozada bi-circumcevian perspector of P and P'. If P' = x' : y' : z' and P" = x" : y" : z" (barycentrics), then Q₁(P', P") = sqrt(x' x")/a : sqrt(y' y")/b : sqrt(z' z")/c. From here, it is clear than P', P" must be both interior to ABC in order Q₁(P', P") to be real. The barycentric coordinates of the center A* of (a*) are:

  A* = a^2*(2*sqrt(y'*y"*z'*z")*SA-(y'*z"+y"*z')*b*c) : (2*S^2*c^2*y'*y"+((y'*z"+y"*z')*c*SC+2*sqrt(y'*y"*z'*z")*b*SB)*b^3)/b^2 : (2*S^2*b^2*z'*z"+((y'*z"+y"*z')*b*SB+2*sqrt(y'*y"*z'*z")*c*SC)*c^3)/c^2

The appearance of (i, j, k) in the folowing list means that Q₁(X(i), X(j)) = X(k):

(1, 2, 18297), (1, 6, 366), (1, 31, 1), (1, 32, 365), (1, 75, 75), (1, 76, 62249), (1, 560, 6), (1, 561, 76), (1, 1501, 18753), (1, 1502, 62250), (1, 1917, 31), (1, 1928, 561), (2, 3, 62254), (2, 4, 62255), (2, 6, 2), (2, 31, 366), (2, 32, 1), (2, 75, 62249), (2, 76, 76), (2, 560, 365), (2, 561, 62250), (2, 1501, 6), (2, 1502, 561), (2, 1917, 18753), (2, 1928, 62251), (3, 4, 2), (6, 31, 365), (6, 32, 6), (6, 75, 18297), (6, 76, 75), (6, 560, 18753), (6, 561, 62249), (6, 1501, 31), (6, 1502, 76), (6, 1917, 62252), (6, 1928, 62250), (31, 32, 18753), (31, 75, 2), (31, 76, 18297), (31, 560, 31), (31, 561, 75), (31, 1501, 62252), (31, 1502, 62249), (31, 1917, 32), (31, 1928, 76), (32, 75, 366), (32, 76, 2), (32, 560, 62252), (32, 561, 18297), (32, 1501, 32), (32, 1502, 75), (32, 1917, 62253), (32, 1928, 62249), (75, 76, 62250), (75, 560, 1), (75, 561, 561), (75, 1501, 365), (75, 1502, 62251), (75, 1917, 6), (75, 1928, 1502), (76, 560, 366), (76, 561, 62251), (76, 1501, 1), (76, 1502, 1502), (76, 1917, 365), (365, 366, 2), (365, 18297, 18297), (365, 18753, 1), (366, 18297, 75), (366, 18753, 366), (560, 561, 2), (560, 1501, 62253), (560, 1502, 18297), (560, 1917, 560), (560, 1928, 75), (561, 1501, 366), (561, 1917, 1), (561, 1928, 1928), (1501, 1502, 2), (1501, 1928, 18297), (1502, 1917, 366), (1917, 1928, 2), (18297, 18753, 2)

Note: The other circle (a*), whose center is farthest to the line BC, does not lead to the explained concurrence.

2) Let ABC be a triangle with circumcircle (O), P', P_o two points, A'B'C' the cevian triangle of P' and A_oB_oC_o the circumcevian triangle of P_o. Let (a*) be the circle through A_o and tangent to sideline BC at A'. Let A" be the second intersection of (O) and (a*) and build B", C" cyclically. Then the lines AA", BB", CC" are concurrent in a point Q₂(P', P_o).

Q₂(P', P_o) is named here the Tran-Lozada perspector of cevian-of-P' and circumcevian-of-P_o. If P' = x' : y' : z' and P_o = x_o : y_o : z_o (barycentrics), then Q₂(P', P_o) = (a*x')^2/x_o : (b*y')^2/y_o : (c*z')^2/z_o.

The appearance of (i, j, k) in the folowing list means that Q₂(X(i), X(j)) = X(k), for (i, j) ≤ 8:

(1, 1, 31), (1, 2, 32), (1, 3, 25), (1, 4, 184), (1, 5, 54034), (1, 6, 6), (1, 7, 2175), (1, 8, 1397), (2, 1, 1), (2, 2, 6), (2, 3, 4), (2, 4, 3), (2, 5, 54), (2, 6, 2), (2, 7, 55), (2, 8, 56), (3, 1, 52430), (3, 2, 14585), (3, 3, 184), (3, 4, 23606), (3, 5, 62256), (3, 6, 577), (3, 7, 62257), (3, 8, 62258), (4, 1, 1096), (4, 2, 2207), (4, 3, 6524), (4, 4, 25), (4, 5, 61362), (4, 6, 393), (4, 7, 6059), (4, 8, 7337), (5, 1, 62259), (5, 2, 62260), (5, 3, 62261), (5, 4, 61378), (5, 5, 51), (5, 6, 36412), (5, 7, 62262), (5, 8, 62263), (6, 1, 560), (6, 2, 1501), (6, 3, 1974), (6, 4, 14575), (6, 5, 14573), (6, 6, 32), (6, 7, 9448), (6, 8, 41280), (7, 1, 269), (7, 2, 1407), (7, 3, 1119), (7, 4, 7053), (7, 5, 62264), (7, 6, 279), (7, 7, 56), (7, 8, 7023), (8, 1, 200), (8, 2, 220), (8, 3, 7046), (8, 4, 1260), (8, 5, 62265), (8, 6, 346), (8, 7, 480), (8, 8, 55)

X(62249) = TRAN-LOZADA BI-CIRCUMCEVIAN PERSPECTOR OF X(1) AND X(76)

X(62249) lies on the cubics K1007, K1020 and these lines: {561, 20334}, {1502, 20592}, {4179, 18297}, {6327, 20346}, {20604, 21366}

X(62249) = isotomic conjugate of X(365)
X(62249) = isogonal conjugate of X(62252)
X(62249) = cevapoint of X(i) and X(j) for these {i, j}: {1, 20604}, {2, 20346}
X(62249) = X(i)-cross conjugate of X(j) for these (i, j): (20334, 2), (20592, 1)
X(62249) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 365), (9, 18753), (37, 60548), (236, 60530), (366, 20673), (3161, 4166), (6374, 18297), (6376, 366), (15495, 60538), (18297, 40375), (20527, 20664), (32664, 62253), (40374, 6), (40603, 4179)
X(62249) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 62253}, {6, 18753}, {31, 365}, {32, 366}, {560, 18297}, {604, 4166}, {1333, 60548}, {1397, 4182}, {1917, 62250}, {2206, 4179}, {9233, 62251}, {52866, 61145}, {60538, 60539}
X(62249) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 18753), (2, 365), (8, 4166), (10, 60548), (31, 62253), (75, 366), (76, 18297), (174, 60538), (188, 60530), (312, 4182), (321, 4179), (365, 31), (366, 6), (367, 52866), (508, 266), (556, 60534), (1502, 62250), (1928, 62251), (4146, 509), (4166, 41), (4179, 42), (4182, 55), (6724, 60542), (18297, 1), (18753, 32), (39131, 60540), (40374, 20673), (40378, 20664), (55321, 58996), (55322, 55326), (55336, 259), (60534, 60539), (60548, 213), (62250, 75), (62251, 76), (62252, 560), (62253, 1501)
X(62249) = barycentric cube of X(18297)
X(62249) = perspector of the inconic with center X(20334)
X(62249) = pole of the line {365, 62252} with respect to the Steiner-Wallace hyperbola
X(62249) = barycentric product X(i)*X(j) for these {i, j}: {1, 62250}, {6, 62251}, {75, 18297}, {76, 366}, {310, 4179}, {365, 561}, {1502, 18753}, {1928, 62252}, {4166, 20567}, {4182, 6063}, {6385, 60548}, {40362, 62253}
X(62249) = trilinear product X(i)*X(j) for these {i, j}: {2, 18297}, {6, 62250}, {31, 62251}, {75, 366}, {76, 365}, {85, 4182}, {274, 4179}, {310, 60548}, {508, 556}, {561, 18753}, {1502, 62252}, {1928, 62253}, {4146, 55336}, {4166, 6063}, {40378, 61144}
X(62249) = trilinear quotient X(i)/X(j) for these (i, j): (2, 18753), (6, 62253), (75, 365), (76, 366), (312, 4166), (313, 4179), (321, 60548), (365, 32), (366, 31), (556, 60530), (561, 18297), (1502, 62249), (1928, 62250), (3596, 4182), (4146, 60538), (4166, 2175), (4179, 213), (4182, 41), (18297, 6), (18753, 560)

X(62250) = TRAN-LOZADA BI-CIRCUMCEVIAN PERSPECTOR OF X(1) AND X(1502)

X(62250) lies on these lines: {1502, 20434}, {1928, 20543}, {20444, 20447}, {20555, 21275}

X(62250) = isotomic conjugate of X(18753)
X(62250) = isogonal conjugate of X(62253)
X(62250) = cevapoint of X(i) and X(j) for these {i, j}: {2, 20555}, {75, 20447}
X(62250) = X(i)-cross conjugate of X(j) for these (i, j): (20434, 75), (20543, 2)
X(62250) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 18753), (9, 62252), (6374, 366), (6376, 365), (20527, 52865), (40374, 31), (40378, 52866), (40603, 60548)
X(62250) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 62252}, {31, 18753}, {32, 365}, {366, 560}, {1397, 4166}, {1501, 18297}, {1917, 62249}, {2206, 60548}
X(62250) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62252), (2, 18753), (75, 365), (76, 366), (312, 4166), (313, 4179), (321, 60548), (365, 32), (366, 31), (556, 60530), (561, 18297), (1502, 62249), (3596, 4182), (4146, 60538), (4166, 2175), (4179, 213), (4182, 41), (18297, 6), (18753, 560), (20527, 52866), (40362, 62251), (40378, 52865), (55336, 60539), (60548, 1918), (62249, 1), (62251, 75), (62252, 1501), (62253, 1917)
X(62250) = perspector of the inconic with center X(20543)
X(62250) = pole of the line {18753, 62253} with respect to the Steiner-Wallace hyperbola
X(62250) = barycentric product X(i)*X(j) for these {i, j}: {1, 62251}, {75, 62249}, {76, 18297}, {365, 1502}, {366, 561}, {1928, 18753}, {4166, 41283}, {4179, 6385}, {4182, 20567}, {40362, 62252}
X(62250) = trilinear product X(i)*X(j) for these {i, j}: {2, 62249}, {6, 62251}, {75, 18297}, {76, 366}, {310, 4179}, {365, 561}, {1502, 18753}, {1928, 62252}, {4166, 20567}, {4182, 6063}, {6385, 60548}, {40362, 62253}
X(62250) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62252), (75, 18753), (76, 365), (313, 60548), (365, 560), (366, 32), (561, 366), (1502, 18297), (1928, 62249), (3596, 4166), (4166, 9447), (4179, 1918), (4182, 2175), (18297, 31), (18753, 1501), (27801, 4179), (28659, 4182), (40362, 62250), (60548, 2205)

X(62251) = TRAN-LOZADA BI-CIRCUMCEVIAN PERSPECTOR OF X(2) AND X(75)

X(62251) lies on these lines: {20631, 40362}, {20645, 21585}

X(62251) = isotomic conjugate of X(62252)
X(62251) = cevapoint of X(75) and X(20645)
X(62251) = X(20631)-cross conjugate of-X(75)
X(62251) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 62252), (9, 62253), (6374, 365), (6376, 18753), (40374, 32)
X(62251) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 62253}, {31, 62252}, {32, 18753}, {365, 560}, {366, 1501}, {1917, 18297}, {4182, 41280}, {9233, 62249}
X(62251) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62253), (2, 62252), (75, 18753), (76, 365), (313, 60548), (365, 560), (366, 32), (561, 366), (1502, 18297), (1928, 62249), (3596, 4166), (4166, 9447), (4179, 1918), (4182, 2175), (18297, 31), (18753, 1501), (27801, 4179), (28659, 4182), (40362, 62250), (60548, 2205), (62249, 6), (62250, 1), (62252, 1917), (62253, 9233)
X(62251) = trilinear cube of X(18297)
X(62251) = barycentric product X(i)*X(j) for these {i, j}: {75, 62250}, {76, 62249}, {365, 1928}, {366, 1502}, {561, 18297}, {4182, 41283}, {18753, 40362}, {40359, 62253}
X(62251) = trilinear product X(i)*X(j) for these {i, j}: {2, 62250}, {75, 62249}, {76, 18297}, {365, 1502}, {366, 561}, {1928, 18753}, {4166, 41283}, {4179, 6385}, {4182, 20567}, {40362, 62252}
X(62251) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62253), (75, 62252), (76, 18753), (365, 1501), (366, 560), (561, 365), (1502, 366), (1928, 18297), (4166, 9448), (4179, 2205), (4182, 9447), (18297, 32), (18753, 1917), (27801, 60548), (28659, 4166), (40359, 62251), (40362, 62249), (40363, 4182)

X(62252) = TRAN-LOZADA BI-CIRCUMCEVIAN PERSPECTOR OF X(2) AND X(366)

X(62252) lies on the cubic K1021 and these lines: {1, 20592}, {6, 20458}, {31, 52865}

X(62252) = isogonal conjugate of X(62249)
X(62252) = isotomic conjugate of X(62251)
X(62252) = crosspoint of X(692) and X(59455)
X(62252) = crosssum of X(i) and X(j) for these {i, j}: {1, 20604}, {2, 20346}
X(62252) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 62251), (9, 62250), (206, 366), (18753, 20645), (20543, 20631), (32664, 18297), (40368, 18753), (40369, 62253), (40374, 561)
X(62252) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 18297}, {6, 62250}, {31, 62251}, {75, 366}, {76, 365}, {85, 4182}, {274, 4179}, {310, 60548}, {508, 556}, {561, 18753}, {1928, 62253}, {4146, 55336}, {4166, 6063}, {40378, 61144}
X(62252) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62250), (2, 62251), (31, 18297), (32, 366), (365, 76), (366, 561), (560, 365), (1501, 18753), (1918, 4179), (2175, 4182), (2205, 60548), (4166, 3596), (4179, 27801), (4182, 28659), (9233, 62253), (9447, 4166), (18297, 1502), (18753, 75), (60548, 313), (62249, 1928), (62250, 40362), (62253, 1)
X(62252) = pole of the line {366, 62249} with respect to the Stammler hyperbola
X(62252) = pole of the line {62249, 62251} with respect to the Steiner-Wallace hyperbola
X(62252) = barycentric product X(i)*X(j) for these {i, j}: {1, 18753}, {6, 365}, {31, 366}, {32, 18297}, {56, 4166}, {58, 60548}, {75, 62253}, {259, 60538}, {266, 60530}, {509, 60539}, {560, 62249}, {604, 4182}, {1333, 4179}, {1501, 62250}, {1917, 62251}, {6727, 60542}, {52866, 61143}
X(62252) = trilinear product X(i)*X(j) for these {i, j}: {2, 62253}, {6, 18753}, {31, 365}, {32, 366}, {560, 18297}, {604, 4166}, {1333, 60548}, {1397, 4182}, {1501, 62249}, {1917, 62250}, {2206, 4179}, {9233, 62251}, {52866, 61145}, {60538, 60539}
X(62252) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62250), (6, 18297), (31, 366), (32, 365), (41, 4182), (75, 62251), (213, 4179), (365, 75), (366, 76), (560, 18753), (1501, 62252), (1917, 62253), (1918, 60548), (2175, 4166), (4166, 312), (4179, 313), (4182, 3596), (18297, 561), (18753, 2), (52865, 40378)
X(62252) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (1, 20604, 20592), (6, 20469, 20458)

X(62253) = TRAN-LOZADA BI-CIRCUMCEVIAN PERSPECTOR OF X(2) AND X(18297)

X(62253) lies on these lines: {6, 20874}

X(62253) = isogonal conjugate of X(62250)
X(62253) = crosssum of X(i) and X(j) for these {i, j}: {2, 20555}, {75, 20447}
X(62253) = X(i)-Dao conjugate of X(j) for these (i, j): (9, 62251), (206, 18297), (32664, 62249), (40368, 365), (40369, 62252), (40374, 1502)
X(62253) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 62249}, {6, 62251}, {75, 18297}, {76, 366}, {310, 4179}, {365, 561}, {1502, 18753}, {1928, 62252}, {4166, 20567}, {4182, 6063}, {6385, 60548}
X(62253) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62251), (31, 62249), (32, 18297), (365, 561), (366, 1502), (560, 366), (1501, 365), (1917, 18753), (2205, 4179), (4166, 28659), (4182, 40363), (9233, 62252), (9447, 4182), (9448, 4166), (18297, 1928), (18753, 76), (60548, 27801), (62249, 40362), (62251, 40359), (62252, 75)
X(62253) = barycentric cube of X(365)
X(62253) = pole of the line {18297, 62250} with respect to the Stammler hyperbola
X(62253) = barycentric product X(i)*X(j) for these {i, j}: {1, 62252}, {6, 18753}, {31, 365}, {32, 366}, {560, 18297}, {604, 4166}, {1333, 60548}, {1397, 4182}, {1501, 62249}, {1917, 62250}, {2206, 4179}, {9233, 62251}, {52866, 61145}, {60538, 60539}
X(62253) = trilinear product X(i)*X(j) for these {i, j}: {6, 62252}, {31, 18753}, {32, 365}, {366, 560}, {1397, 4166}, {1501, 18297}, {1917, 62249}, {2206, 60548}, {9233, 62250}
X(62253) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62251), (6, 62249), (31, 18297), (32, 366), (365, 76), (366, 561), (560, 365), (1501, 18753), (1917, 62252), (1918, 4179), (2175, 4182), (2205, 60548), (4166, 3596), (4179, 27801), (4182, 28659), (9233, 62253), (9447, 4166), (18297, 1502), (18753, 75), (60548, 313)

X(62254) = TRAN-LOZADA BI-CIRCUMCEVIAN PERSPECTOR OF X(2) AND X(3)

Note: Only for ABC acute

X(62254) lies on the Steiner-Wallace hyperbola, the cubics K779, K1010 and these lines: {2, 61085}, {487, 61084}, {488, 61083}

X(62254) = anticomplement of X(61085)
X(62254) = X(i)-Dao conjugate of X(j) for these (i, j): (9, 20034), (6337, 62254), (6376, 62255), (6505, 5374), (61085, 61085)
X(62254) = X(799)-he conjugate of-X(62254)
X(62254) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 20034}, {25, 5374}, {32, 62255}, {1973, 62254}
X(62254) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 20034), (63, 5374), (69, 62254), (75, 62255), (5374, 1), (20034, 19), (62254, 2), (62255, 92)
X(62254) = barycentric product X(i)*X(j) for these {i, j}: {63, 62255}, {75, 5374}, {304, 20034}
X(62254) = trilinear product X(i)*X(j) for these {i, j}: {2, 5374}, {3, 62255}, {69, 20034}
X(62254) = trilinear quotient X(i)/X(j) for these (i, j): (2, 20034), (69, 5374), (76, 62255), (304, 62254), (5374, 6), (20034, 25)

X(62255) = TRAN-LOZADA BI-CIRCUMCEVIAN PERSPECTOR OF X(2) AND X(4)

Note: Only for ABC acute

X(62255) lies on these lines: {}

X(62255) = isotomic conjugate of X(5374)
X(62255) = polar conjugate of X(20034)
X(62255) = cevapoint of X(5374) and X(20034)
X(62255) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 5374), (1249, 20034), (6376, 62254)
X(62255) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 5374}, {32, 62254}, {48, 20034}, {9247, 62255}
X(62255) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 5374), (4, 20034), (75, 62254), (264, 62255), (5374, 3), (20034, 6), (62254, 63), (62255, 2)
X(62255) = pole of the the tripolar of X(20034) with respect to the polar circle
X(62255) = barycentric product X(i)*X(j) for these {i, j}: {76, 20034}, {92, 62254}, {264, 5374}
X(62255) = trilinear product X(i)*X(j) for these {i, j}: {4, 62254}, {75, 20034}, {92, 5374}
X(62255) = trilinear quotient X(i)/X(j) for these (i, j): (75, 5374), (76, 62254), (92, 20034), (1969, 62255), (5374, 48), (20034, 31)

X(62256) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(3) AND CIRCUMCEVIAN-OF-X(5)

X(62256) lies on these lines: {51, 8882}, {54, 186}, {97, 3917}, {160, 184}, {185, 8883}, {275, 52249}, {577, 59176}, {933, 26887}, {1092, 19210}, {1495, 33629}, {3484, 19192}, {9792, 57489}, {14585, 52435}, {14910, 41271}, {22075, 40823}, {23295, 46064}, {32439, 46966}, {44078, 58306}, {46090, 46091}, {51539, 51540}

X(62256) = isogonal conjugate of the polar conjugate of X(14533)
X(62256) = isogonal conjugate of the isotomic conjugate of X(19210)
X(62256) = crossdifference of every pair of points on the line X(18314)X(57195)
X(62256) = crosspoint of X(i) and X(j) for these {i, j}: {54, 57703}, {14533, 19210}
X(62256) = crosssum of X(i) and X(j) for these {i, j}: {5, 467}, {324, 13450}, {18314, 35442}
X(62256) = X(i)-Ceva conjugate of X(j) for these (i, j): (15958, 46088), (46089, 14533)
X(62256) = X(14585)-cross conjugate of-X(14533)
X(62256) = X(i)-Dao conjugate of X(j) for these (i, j): (206, 13450), (1147, 311), (17423, 23290), (22391, 324), (35071, 15415), (37867, 28706), (40368, 14569)
X(62256) = X(i)-isoconjugate of X(j) for these {i, j}: {5, 57806}, {53, 1969}, {75, 13450}, {92, 324}, {158, 311}, {343, 6521}, {467, 57716}, {561, 14569}, {811, 23290}, {823, 18314}, {1087, 8795}, {1093, 18695}, {1953, 18027}, {2052, 14213}, {2181, 18022}, {2618, 6528}, {6520, 28706}, {12077, 57973}, {14576, 57898}, {15415, 24019}, {18817, 51801}, {20948, 61193}, {40440, 60828}, {51513, 57968}, {57844, 62259}
X(62256) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (32, 13450), (54, 18027), (97, 18022), (184, 324), (217, 60828), (418, 45793), (520, 15415), (577, 311), (1092, 28706), (1501, 14569), (2148, 57806), (2169, 1969), (3049, 23290), (4100, 18695), (11077, 18817), (14533, 264), (14573, 393), (14574, 61193), (14575, 53), (14585, 5), (14586, 6528), (15958, 6331), (19210, 76), (23606, 343), (34386, 44161), (36134, 57973), (36433, 5562), (39201, 18314), (40373, 3199), (44088, 36412), (46088, 850), (46089, 276), (50463, 20573), (52430, 14213), (52435, 467), (54034, 2052), (57703, 55553), (58308, 14618), (58310, 12077), (61355, 57811), (61361, 51)
X(62256) = pole of the line {54, 570} with respect to the Jerabek circumhyperbola
X(62256) = pole of the line {311, 13450} with respect to the Stammler hyperbola
X(62256) = barycentric product X(i)*X(j) for these {i, j}: {3, 14533}, {6, 19210}, {48, 2169}, {50, 50463}, {54, 577}, {95, 14585}, {97, 184}, {110, 46088}, {216, 46089}, {255, 2148}, {275, 23606}, {288, 61355}, {394, 54034}, {520, 14586}, {647, 15958}, {822, 36134}, {933, 32320}, {1092, 8882}, {1147, 57703}, {2167, 52430}
X(62256) = trilinear product X(i)*X(j) for these {i, j}: {31, 19210}, {48, 14533}, {54, 52430}, {97, 9247}, {163, 46088}, {184, 2169}, {255, 54034}, {326, 14573}, {563, 57703}, {577, 2148}, {810, 15958}, {822, 14586}, {2167, 14585}, {2190, 23606}, {4100, 8882}, {4575, 58308}, {36134, 39201}, {44687, 62258}
X(62256) = trilinear quotient X(i)/X(j) for these (i, j): (31, 13450), (48, 324), (54, 57806), (97, 1969), (255, 311), (418, 1087), (560, 14569), (563, 467), (577, 14213), (810, 23290), (822, 18314), (1092, 18695), (2148, 2052), (2167, 18027), (2169, 264), (4100, 343), (6507, 28706), (8882, 6521), (9247, 53), (14533, 92)
X(62256) = (X(14533), X(54034))-harmonic conjugate of X(184)

X(62257) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(3) AND CIRCUMCEVIAN-OF-X(7)

X(62257) lies on these lines: {577, 61054}, {607, 62262}, {2175, 9448}, {9247, 14575}, {23606, 52430}

X(62257) = isogonal conjugate of the isotomic conjugate of X(6056)
X(62257) = isogonal conjugate of the polar conjugate of X(52425)
X(62257) = crosspoint of X(6056) and X(52425)
X(62257) = X(52430)-Ceva conjugate of-X(14585)
X(62257) = X(i)-Dao conjugate of X(j) for these (i, j): (1147, 6063), (5452, 18027), (6338, 41287), (6503, 41283), (11517, 18022), (22391, 331), (36033, 57787), (37867, 57918), (40368, 1118), (40369, 7337)
X(62257) = X(i)-isoconjugate of X(j) for these {i, j}: {4, 57787}, {7, 57806}, {27, 52575}, {34, 18022}, {57, 18027}, {85, 2052}, {92, 331}, {158, 6063}, {225, 57796}, {264, 273}, {278, 1969}, {286, 57809}, {348, 6521}, {393, 20567}, {561, 1118}, {693, 52938}, {1093, 7182}, {1096, 41283}, {1393, 57844}, {1395, 44161}, {1847, 7017}, {1928, 7337}, {3261, 54240}, {4077, 6528}, {4858, 57538}, {6520, 57918}, {7178, 57973}, {13149, 46110}, {17924, 46404}, {18026, 46107}, {24032, 34387}, {36127, 40495}, {40149, 44129}, {44697, 52581}, {55213, 58757}
X(62257) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (41, 57806), (48, 57787), (55, 18027), (184, 331), (212, 1969), (219, 18022), (228, 52575), (255, 20567), (345, 44161), (394, 41283), (577, 6063), (1092, 57918), (1259, 1502), (1264, 40362), (1501, 1118), (2175, 2052), (2193, 57796), (2200, 57809), (2212, 6521), (2289, 561), (3719, 1928), (3926, 41287), (4055, 349), (4100, 7182), (6056, 76), (7065, 36793), (7335, 57792), (9233, 7337), (9247, 273), (9447, 158), (9448, 393), (14575, 278), (14585, 7), (23606, 348), (32656, 46404), (32739, 52938), (36054, 40495), (36433, 1804), (39687, 34387), (40373, 608), (52425, 264), (52430, 85), (58310, 7178), (61054, 23989), (61361, 56), (62258, 279)
X(62257) = pole of the line {6063, 57796} with respect to the Stammler hyperbola
X(62257) = barycentric product X(i)*X(j) for these {i, j}: {3, 52425}, {6, 6056}, {8, 14585}, {9, 52430}, {31, 2289}, {32, 1259}, {33, 4100}, {41, 255}, {48, 212}, {55, 577}, {59, 39687}, {78, 9247}, {184, 219}, {220, 7335}, {228, 2193}, {281, 23606}, {283, 2200}, {284, 4055}, {326, 9447}, {345, 14575}
X(62257) = trilinear product X(i)*X(j) for these {i, j}: {9, 14585}, {31, 6056}, {32, 2289}, {33, 23606}, {41, 577}, {48, 52425}, {55, 52430}, {78, 14575}, {184, 212}, {200, 62258}, {219, 9247}, {255, 2175}, {312, 61361}, {326, 9448}, {394, 9447}, {560, 1259}, {607, 4100}, {643, 58310}, {1092, 2212}, {1110, 61054}
X(62257) = trilinear quotient X(i)/X(j) for these (i, j): (3, 57787), (9, 18027), (41, 2052), (48, 331), (55, 57806), (71, 52575), (78, 18022), (184, 273), (212, 264), (219, 1969), (228, 57809), (255, 6063), (283, 57796), (326, 41283), (394, 20567), (560, 1118), (577, 85), (607, 6521), (692, 52938), (906, 46404)
X(62257) = (X(23606), X(52430))-harmonic conjugate of X(62258)

X(62258) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(3) AND CIRCUMCEVIAN-OF-X(8)

X(62258) lies on these lines: {184, 61054}, {222, 61058}, {608, 62263}, {1397, 2206}, {14578, 20986}, {23606, 52430}

X(62258) = isogonal conjugate of the isotomic conjugate of X(7335)
X(62258) = isogonal conjugate of the polar conjugate of X(52411)
X(62258) = crosspoint of X(7335) and X(52411)
X(62258) = X(52430)-beth conjugate of-X(52430)
X(62258) = X(i)-Dao conjugate of X(j) for these (i, j): (478, 18027), (1147, 3596), (6338, 44159), (6503, 40363), (22391, 7017), (37867, 57919), (40368, 1857), (40369, 6059)
X(62258) = X(i)-isoconjugate of X(j) for these {i, j}: {8, 57806}, {9, 18027}, {33, 18022}, {92, 7017}, {158, 3596}, {264, 318}, {281, 1969}, {312, 2052}, {313, 1896}, {331, 7101}, {345, 6521}, {393, 28659}, {561, 1857}, {1093, 3718}, {1096, 40363}, {1928, 6059}, {2212, 44161}, {2322, 52575}, {3700, 57973}, {4086, 6528}, {4397, 52938}, {6335, 46110}, {6520, 57919}, {7046, 57787}, {7069, 57844}, {7141, 57779}, {8748, 27801}, {41013, 44130}, {47372, 57793}, {52622, 54240}, {53008, 57796}
X(62258) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (56, 18027), (184, 7017), (222, 18022), (255, 28659), (348, 44161), (394, 40363), (577, 3596), (603, 1969), (604, 57806), (1092, 57919), (1363, 36793), (1395, 6521), (1397, 2052), (1410, 52575), (1501, 1857), (1804, 1502), (3926, 44159), (4055, 30713), (4100, 3718), (6056, 59761), (7055, 40362), (7099, 57787), (7125, 561), (7183, 1928), (7335, 76), (9233, 6059), (9247, 318), (14575, 281), (14585, 8), (18604, 40072), (22341, 27801), (23606, 345), (36433, 1259), (40373, 607), (41280, 393), (41281, 2207), (41286, 36417), (51640, 20948), (52411, 264), (52430, 312), (58310, 3700), (61054, 23978), (61058, 23962), (61361, 55), (62257, 346)
X(62258) = barycentric product X(i)*X(j) for these {i, j}: {3, 52411}, {6, 7335}, {7, 14585}, {31, 7125}, {32, 1804}, {34, 4100}, {48, 603}, {56, 577}, {57, 52430}, {77, 9247}, {163, 51640}, {184, 222}, {212, 7099}, {255, 604}, {278, 23606}, {279, 62257}, {348, 14575}, {394, 1397}, {560, 7183}, {608, 1092}
X(62258) = trilinear product X(i)*X(j) for these {i, j}: {31, 7335}, {32, 7125}, {34, 23606}, {48, 52411}, {56, 52430}, {57, 14585}, {77, 14575}, {85, 61361}, {184, 603}, {222, 9247}, {255, 1397}, {269, 62257}, {326, 41280}, {560, 1804}, {577, 604}, {608, 4100}, {1092, 1395}, {1106, 6056}, {1393, 62256}, {1408, 4055}
X(62258) = trilinear quotient X(i)/X(j) for these (i, j): (48, 7017), (56, 57806), (57, 18027), (77, 18022), (184, 318), (222, 1969), (255, 3596), (326, 40363), (394, 28659), (560, 1857), (577, 312), (603, 264), (604, 2052), (608, 6521), (1092, 3718), (1363, 17879), (1395, 1093), (1397, 158), (1410, 57809), (1437, 44130)
X(62258) = (X(23606), X(52430))-harmonic conjugate of X(62257)

X(62259) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(5) AND CIRCUMCEVIAN-OF-X(1)

X(62259) lies on these lines: {19, 52430}, {31, 2153}, {92, 1956}, {1953, 2181}, {42078, 60817}, {61378, 62262}

X(62259) = isogonal conjugate of the isotomic conjugate of X(1087)
X(62259) = cevapoint of X(62260) and X(62262)
X(62259) = crosspoint of X(36412) and X(41279)
X(62259) = crosssum of X(2167) and X(2169)
X(62259) = X(i)-Dao conjugate of X(j) for these (i, j): (6368, 17879), (6663, 75), (14363, 40440), (39052, 52939), (40588, 2167), (46394, 18042)
X(62259) = X(i)-isoconjugate of X(j) for these {i, j}: {54, 95}, {97, 275}, {140, 59143}, {264, 46089}, {276, 14533}, {288, 59183}, {647, 52939}, {2167, 2167}, {2169, 40440}, {3268, 46966}, {3269, 57573}, {8795, 19210}, {8882, 34386}, {15412, 18315}, {16030, 39287}, {18831, 23286}, {25044, 57765}, {34384, 54034}, {42405, 46088}, {43752, 46090}, {57844, 62256}
X(62259) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (51, 2167), (53, 40440), (162, 52939), (217, 2169), (1087, 76), (1953, 95), (2179, 54), (2181, 275), (3078, 20879), (3199, 2190), (9247, 46089), (14213, 34384), (21011, 56189), (21807, 56246), (23607, 14213), (24000, 57573), (24862, 20902), (34983, 24018), (36412, 75), (39019, 17879), (40981, 2148), (41279, 85), (44706, 34386), (45793, 561), (46394, 255), (55219, 2616), (57195, 14208), (60828, 1969), (61194, 36134), (61378, 63), (62260, 1), (62261, 92), (62262, 9), (62263, 57)
X(62259) = trilinear square of X(1953)
X(62259) = barycentric product X(i)*X(j) for these {i, j}: {1, 36412}, {5, 1953}, {6, 1087}, {9, 41279}, {31, 45793}, {48, 60828}, {51, 14213}, {53, 44706}, {63, 62261}, {75, 62260}, {85, 62262}, {92, 61378}, {162, 57195}, {311, 2179}, {312, 62263}, {343, 2181}, {823, 34983}, {1625, 2618}, {2167, 23607}, {2180, 56272}
X(62259) = trilinear product X(i)*X(j) for these {i, j}: {2, 62260}, {3, 62261}, {4, 61378}, {5, 51}, {6, 36412}, {7, 62262}, {8, 62263}, {31, 1087}, {32, 45793}, {53, 216}, {54, 23607}, {55, 41279}, {107, 34983}, {112, 57195}, {184, 60828}, {217, 324}, {233, 59142}, {250, 24862}, {311, 40981}, {343, 3199}
X(62259) = trilinear quotient X(i)/X(j) for these (i, j): (5, 95), (51, 54), (53, 275), (184, 46089), (216, 97), (217, 14533), (233, 59183), (311, 34384), (324, 276), (343, 34386), (418, 19210), (648, 52939), (1087, 75), (1173, 59143), (1625, 18315), (1953, 2167), (2179, 2148), (2181, 2190), (3078, 140), (3199, 8882)
X(62259) = (X(62262), X(62263))-harmonic conjugate of X(61378)

X(62260) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(5) AND CIRCUMCEVIAN-OF-X(2)

X(62260) lies on these lines: {4, 1987}, {5, 41480}, {6, 1173}, {25, 14585}, {32, 3124}, {51, 217}, {53, 13450}, {112, 38848}, {143, 1625}, {185, 33842}, {232, 10110}, {381, 22416}, {389, 3331}, {1501, 60501}, {1506, 8041}, {1598, 39643}, {1970, 3518}, {1971, 34484}, {2207, 17810}, {2211, 9969}, {2548, 20859}, {2971, 40951}, {3094, 31404}, {3095, 51997}, {3289, 5446}, {3567, 32445}, {5890, 38297}, {7747, 47421}, {7752, 36790}, {7785, 57257}, {9419, 27375}, {10095, 41334}, {10982, 59229}, {11745, 60428}, {13509, 26863}, {13621, 32661}, {15026, 50678}, {15450, 52604}, {15873, 27376}, {23635, 61305}, {33853, 58889}, {34520, 36412}, {41759, 56918}, {44732, 59533}, {46394, 61378}

X(62260) = isogonal conjugate of the isotomic conjugate of X(36412)
X(62260) = polar conjugate of the isotomic conjugate of X(61378)
X(62260) = isogonal conjugate of the polar conjugate of X(62261)
X(62260) = crosspoint of X(i) and X(j) for these {i, j}: {51, 53}, {2052, 3613}, {23964, 52604}, {36412, 62261}
X(62260) = crosssum of X(i) and X(j) for these {i, j}: {2, 46724}, {95, 97}, {577, 5012}
X(62260) = X(i)-Ceva conjugate of X(j) for these (i, j): (53, 62261), (23964, 52604), (36412, 61378), (59142, 51), (61193, 15451), (61194, 55219), (62259, 62262)
X(62260) = X(i)-Dao conjugate of X(j) for these (i, j): (5, 34386), (51, 59157), (216, 34384), (2972, 15414), (6368, 36793), (6663, 76), (14363, 276), (40588, 95), (40596, 52939), (46394, 1078)
X(62260) = X(i)-isoconjugate of X(j) for these {i, j}: {95, 2167}, {97, 40440}, {276, 2169}, {656, 52939}, {1969, 46089}, {2148, 34384}, {2190, 34386}, {2632, 57573}, {20879, 59143}
X(62260) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (5, 34384), (51, 95), (53, 276), (112, 52939), (216, 34386), (217, 97), (324, 57790), (1087, 561), (2179, 2167), (2181, 40440), (3078, 1232), (3199, 275), (13450, 57844), (14569, 8795), (14570, 55218), (14575, 46089), (17434, 15414), (17500, 41488), (21807, 56189), (23607, 311), (23964, 57573), (24862, 339), (27374, 16030), (34983, 3265), (36412, 76), (39019, 36793), (40588, 59157), (40981, 54), (41279, 6063), (44088, 19210), (45793, 1502), (46394, 394), (52604, 18831), (55219, 15412), (57195, 3267), (59142, 31617), (60828, 18022), (61193, 42405), (61194, 18315), (61346, 8882), (61378, 69), (62259, 75), (62261, 264), (62262, 8), (62263, 7)
X(62260) = barycentric square of X(1953)
X(62260) = perspector of the circumconic through X(14560) and X(52604)
X(62260) = pole of the line {14398, 42293} with respect to the Brocard inellipse
X(62260) = pole of the line {6530, 15559} with respect to the Kiepert circumhyperbola
X(62260) = pole of the line {6130, 20188} with respect to the orthic inconic
X(62260) = pole of the line {7799, 34386} with respect to the Stammler hyperbola
X(62260) = barycentric product X(i)*X(j) for these {i, j}: {1, 62259}, {3, 62261}, {4, 61378}, {5, 51}, {6, 36412}, {7, 62262}, {8, 62263}, {31, 1087}, {32, 45793}, {53, 216}, {54, 23607}, {55, 41279}, {107, 34983}, {112, 57195}, {184, 60828}, {217, 324}, {233, 59142}, {250, 24862}, {311, 40981}, {343, 3199}
X(62260) = trilinear product X(i)*X(j) for these {i, j}: {5, 2179}, {6, 62259}, {9, 62263}, {19, 61378}, {31, 36412}, {32, 1087}, {41, 41279}, {48, 62261}, {51, 1953}, {57, 62262}, {158, 46394}, {216, 2181}, {560, 45793}, {2148, 23607}, {2617, 55219}, {2618, 61194}, {3199, 44706}, {9247, 60828}, {14213, 40981}, {18695, 61346}
X(62260) = trilinear quotient X(i)/X(j) for these (i, j): (51, 2167), (53, 40440), (162, 52939), (217, 2169), (1087, 76), (1953, 95), (2179, 54), (2181, 275), (3078, 20879), (3199, 2190), (9247, 46089), (14213, 34384), (21011, 56189), (21807, 56246), (23607, 14213), (24000, 57573), (24862, 20902), (34983, 24018), (36412, 75), (39019, 17879)
X(62260) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (4, 61193, 27359), (51, 3199, 217), (3567, 33885, 32445)

X(62261) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(5) AND CIRCUMCEVIAN-OF-X(3)

X(62261) lies on these lines: {4, 1173}, {5, 31505}, {25, 1989}, {51, 53}, {110, 46924}, {125, 2052}, {184, 393}, {324, 39569}, {418, 52945}, {467, 41586}, {1974, 14593}, {1990, 13366}, {3078, 23607}, {3079, 44082}, {3574, 8887}, {4175, 44132}, {6524, 34417}, {6530, 42400}, {6748, 34565}, {6750, 13450}, {8796, 14853}, {14129, 35360}, {14715, 51434}, {15805, 35716}, {21659, 41365}, {26907, 42459}, {30102, 45108}, {34836, 42453}, {35717, 56298}, {35884, 60693}, {37766, 58447}, {45793, 59164}, {53506, 61691}, {56296, 61712}, {56297, 61659}

X(62261) = polar conjugate of the isotomic conjugate of X(36412)
X(62261) = isogonal conjugate of the isotomic conjugate of X(60828)
X(62261) = polar conjugate of the isogonal conjugate of X(62260)
X(62261) = crosspoint of X(i) and X(j) for these {i, j}: {53, 13450}, {32230, 61193}
X(62261) = crosssum of X(97) and X(19210)
X(62261) = X(i)-Ceva conjugate of X(j) for these (i, j): (53, 62260), (32230, 61193), (52604, 51513), (60828, 36412)
X(62261) = X(62260)-cross conjugate of-X(36412)
X(62261) = X(i)-Dao conjugate of X(j) for these (i, j): (206, 46089), (216, 34386), (6663, 69), (14363, 95), (39019, 15414), (40588, 97)
X(62261) = X(i)-isoconjugate of X(j) for these {i, j}: {75, 46089}, {95, 2169}, {97, 2167}, {822, 52939}, {2148, 34386}, {19210, 40440}, {37754, 57573}
X(62261) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (5, 34386), (32, 46089), (51, 97), (53, 95), (107, 52939), (217, 19210), (324, 34384), (1087, 304), (2179, 2169), (2181, 2167), (3199, 54), (6368, 15414), (13450, 276), (14569, 275), (23607, 343), (24862, 15526), (32230, 57573), (33631, 59143), (34983, 52613), (36412, 69), (40981, 14533), (41221, 53576), (41279, 348), (45793, 305), (46394, 1092), (51513, 15412), (52604, 18315), (53386, 59183), (55132, 45792), (55219, 23286), (57195, 3265), (60828, 76), (61193, 18831), (61194, 15958), (61346, 54034), (61378, 394), (62259, 63), (62260, 3), (62262, 219), (62263, 222)
X(62261) = X(53)-waw conjugate of-X(27371)
X(62261) = pole of the line {6748, 10110} with respect to the Jerabek circumhyperbola
X(62261) = pole of the line {42400, 59533} with respect to the Kiepert circumhyperbola
X(62261) = pole of the line {15451, 55280} with respect to the orthic inconic
X(62261) = pole of the line {46089, 52437} with respect to the Stammler hyperbola
X(62261) = barycentric product X(i)*X(j) for these {i, j}: {4, 36412}, {5, 53}, {6, 60828}, {19, 1087}, {25, 45793}, {51, 324}, {92, 62259}, {107, 57195}, {216, 13450}, {264, 62260}, {275, 23607}, {281, 41279}, {311, 3199}, {331, 62262}, {343, 14569}, {1625, 23290}, {2052, 61378}, {2181, 14213}, {3078, 39284}, {6368, 61193}
X(62261) = trilinear product X(i)*X(j) for these {i, j}: {4, 62259}, {5, 2181}, {19, 36412}, {25, 1087}, {31, 60828}, {33, 41279}, {53, 1953}, {92, 62260}, {158, 61378}, {273, 62262}, {318, 62263}, {324, 2179}, {1973, 45793}, {2190, 23607}, {2617, 51513}, {2618, 52604}, {3199, 14213}, {6521, 46394}, {14569, 44706}, {24000, 24862}
X(62261) = trilinear quotient X(i)/X(j) for these (i, j): (31, 46089), (51, 2169), (53, 2167), (823, 52939), (1087, 69), (1953, 97), (2179, 14533), (2181, 54), (3199, 2148), (13450, 40440), (14213, 34386), (14569, 2190), (23607, 44706), (24862, 2632), (36412, 63), (41279, 77), (45793, 304), (46394, 4100), (51513, 2616), (52604, 36134)
X(62261) = X(32911)-of-orthic triangle, when ABC is acute
X(62261) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (51, 53, 53386), (53, 14569, 51), (2052, 6747, 125), (23607, 61378, 36412), (39284, 55084, 4), (42453, 61532, 34836)

X(62262) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(5) AND CIRCUMCEVIAN-OF-X(7)

X(62262) lies on these lines: {607, 62257}, {61378, 62259}

X(62262) = X(62259)-Ceva conjugate of-X(62260)
X(62262) = X(6663)-Dao conjugate of-X(6063)
X(62262) = X(i)-isoconjugate of X(j) for these {i, j}: {46089, 57787}, {51664, 52939}
X(62262) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1087, 20567), (36412, 6063), (41279, 57792), (44707, 34386), (45793, 41283), (46394, 1804), (61378, 348), (62259, 85), (62260, 7), (62261, 331), (62263, 279)
X(62262) = barycentric product X(i)*X(j) for these {i, j}: {8, 62260}, {9, 62259}, {41, 1087}, {53, 44707}, {55, 36412}, {219, 62261}, {220, 41279}, {281, 61378}, {346, 62263}, {1953, 7069}, {2175, 45793}, {52425, 60828}
X(62262) = trilinear product X(i)*X(j) for these {i, j}: {9, 62260}, {33, 61378}, {41, 36412}, {51, 7069}, {55, 62259}, {200, 62263}, {212, 62261}, {1087, 2175}, {1253, 41279}, {2181, 44707}, {9447, 45793}
X(62262) = trilinear quotient X(i)/X(j) for these (i, j): (1087, 6063), (7069, 95), (36412, 85), (41279, 1088), (45793, 20567), (46394, 7125), (60828, 57787), (61378, 77)
X(62262) = (X(61378), X(62259))-harmonic conjugate of X(62263)

X(62263) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(5) AND CIRCUMCEVIAN-OF-X(8)

X(62263) lies on these lines: {278, 61058}, {608, 62258}, {1397, 61052}, {61378, 62259}

X(62263) = isogonal conjugate of the isotomic conjugate of X(41279)
X(62263) = X(62259)-beth conjugate of-X(62259)
X(62263) = X(6663)-Dao conjugate of-X(3596)
X(62263) = X(i)-isoconjugate of X(j) for these {i, j}: {95, 44687}, {8611, 52939}, {35196, 56189}
X(62263) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1087, 28659), (2179, 44687), (30493, 34386), (36412, 3596), (41279, 76), (45793, 40363), (46394, 1259), (61378, 345), (62259, 312), (62260, 8), (62261, 7017), (62262, 346)
X(62263) = barycentric product X(i)*X(j) for these {i, j}: {6, 41279}, {7, 62260}, {53, 30493}, {56, 36412}, {57, 62259}, {222, 62261}, {278, 61378}, {279, 62262}, {604, 1087}, {1393, 1953}, {1397, 45793}, {2181, 44708}, {52411, 60828}
X(62263) = trilinear product X(i)*X(j) for these {i, j}: {31, 41279}, {34, 61378}, {51, 1393}, {56, 62259}, {57, 62260}, {269, 62262}, {603, 62261}, {604, 36412}, {1087, 1397}, {2181, 30493}, {3199, 44708}
X(62263) = trilinear quotient X(i)/X(j) for these (i, j): (51, 44687), (1087, 3596), (1393, 95), (36412, 312), (41279, 75), (44708, 34386), (45793, 28659), (46394, 2289), (61378, 78)
X(62263) = (X(61378), X(62259))-harmonic conjugate of X(62262)

X(62264) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(7) AND CIRCUMCEVIAN-OF-X(5)

X(62264) lies on these lines: {54, 1439}, {2148, 33629}, {6046, 41282}

X(62264) = X(i)-Dao conjugate of X(j) for these (i, j): (6609, 5), (17113, 311)
X(62264) = X(i)-isoconjugate of X(j) for these {i, j}: {5, 200}, {8, 7069}, {51, 341}, {53, 3692}, {216, 7101}, {220, 14213}, {311, 1253}, {318, 44707}, {324, 1802}, {343, 7079}, {346, 1953}, {1043, 21807}, {1087, 62265}, {1265, 2181}, {1393, 5423}, {2179, 59761}, {2287, 21011}, {2332, 42698}, {3199, 52406}, {4082, 18180}, {4171, 14570}, {4515, 17167}, {4578, 21102}, {6065, 60804}, {7046, 44706}, {7071, 18695}, {7258, 55219}, {7259, 12077}
X(62264) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (54, 346), (95, 59761), (97, 1265), (269, 14213), (279, 311), (604, 7069), (1042, 21011), (1106, 1953), (1119, 324), (1398, 53), (1407, 5), (1439, 42698), (2148, 200), (2167, 341), (2169, 3692), (2190, 7101), (7053, 343), (7056, 28706), (7099, 44706), (7177, 18695), (7216, 2618), (7250, 12077), (7366, 1393), (8882, 7046), (14533, 1260), (14573, 14827), (18315, 7256), (36134, 7259), (44687, 30693), (52410, 51), (52411, 44707), (53538, 60804), (54034, 220)
X(62264) = barycentric product X(i)*X(j) for these {i, j}: {54, 279}, {95, 1407}, {97, 1119}, {269, 2167}, {275, 7053}, {738, 44687}, {1088, 2148}, {1398, 34386}, {1847, 2169}, {2190, 7177}, {2616, 4637}, {2623, 4616}, {7056, 8882}, {7099, 40440}, {34384, 52410}, {54034, 57792}
X(62264) = trilinear product X(i)*X(j) for these {i, j}: {54, 269}, {95, 1106}, {97, 1435}, {275, 7099}, {279, 2148}, {1088, 54034}, {1119, 2169}, {1407, 2167}, {1847, 14533}, {2190, 7053}, {2623, 4637}, {7023, 44687}, {7177, 8882}, {7216, 18315}
X(62264) = trilinear quotient X(i)/X(j) for these (i, j): (54, 200), (56, 7069), (95, 341), (97, 3692), (269, 5), (275, 7101), (279, 14213), (603, 44707), (1042, 21807), (1088, 311), (1106, 51), (1358, 60804), (1398, 2181), (1407, 1953), (1427, 21011), (1435, 53), (1847, 324), (2148, 220), (2167, 346), (2169, 1260)

X(62265) = TRAN-LOZADA PERSPECTOR OF CEVIAN-OF-X(8) AND CIRCUMCEVIAN-OF-X(5)

X(62265) lies on these lines: {54, 72}, {2318, 58328}, {2750, 36078}

X(62265) = X(i)-Dao conjugate of X(j) for these (i, j): (6552, 311), (6600, 5), (6608, 60804), (14714, 21102), (24771, 14213)
X(62265) = X(i)-isoconjugate of X(j) for these {i, j}: {5, 269}, {7, 1393}, {51, 1088}, {53, 7177}, {216, 1847}, {273, 30493}, {278, 44708}, {279, 1953}, {311, 1106}, {324, 7099}, {343, 1435}, {479, 7069}, {934, 21102}, {1087, 62264}, {1119, 44706}, {1398, 18695}, {1407, 14213}, {1427, 17167}, {2179, 57792}, {2181, 7056}, {3668, 18180}, {4635, 55219}, {4637, 12077}, {7216, 14570}, {7339, 60804}, {17096, 35307}
X(62265) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (41, 1393), (54, 279), (95, 57792), (97, 7056), (200, 14213), (212, 44708), (220, 5), (346, 311), (657, 21102), (1253, 1953), (1260, 343), (1265, 28706), (1802, 44706), (2148, 269), (2167, 1088), (2169, 7177), (2190, 1847), (2328, 17167), (3119, 60804), (3692, 18695), (4171, 2618), (4524, 12077), (6602, 7069), (7046, 324), (7071, 53), (8882, 1119), (14533, 7053), (14573, 52410), (14827, 51), (18315, 4616), (35196, 1434), (36134, 4637), (44687, 85), (52425, 30493), (54034, 1407), (56254, 1446)
X(62265) = barycentric product X(i)*X(j) for these {i, j}: {9, 44687}, {54, 346}, {95, 220}, {97, 7046}, {200, 2167}, {275, 1260}, {341, 2148}, {1265, 8882}, {1802, 40440}, {2169, 7101}, {2190, 3692}, {2287, 56254}, {2321, 35196}, {2328, 56246}, {2616, 7259}, {2623, 7256}, {4069, 39177}, {7071, 34386}, {14827, 34384}, {39287, 61316}
X(62265) = trilinear product X(i)*X(j) for these {i, j}: {54, 200}, {55, 44687}, {95, 1253}, {97, 7079}, {210, 35196}, {220, 2167}, {275, 1802}, {341, 54034}, {346, 2148}, {1260, 2190}, {2169, 7046}, {2328, 56254}, {2623, 7259}, {3692, 8882}, {4171, 18315}, {7101, 14533}
X(62265) = trilinear quotient X(i)/X(j) for these (i, j): (54, 269), (55, 1393), (95, 1088), (97, 7177), (200, 5), (212, 30493), (219, 44708), (220, 1953), (275, 1847), (341, 311), (346, 14213), (480, 7069), (1253, 51), (1260, 44706), (1265, 18695), (1802, 216), (2148, 1407), (2167, 279), (2169, 7053), (2190, 1119)

  Tran-Lozada CCO- and OOC- perspectors: X(62266) - X(62278)  

The following two ennunciates, slightly modified, are proposed by Tran Viet Hung in Romantics of geometry, March 17, 2023:

1) Let ABC be a triangle with circumcircle (O), P', P", P_o three points, with P' ≠ P", and A'B'C', A"B"C" the cevian triangles of P' and P", respectively, and A_oB_oC_o the circumcevian triangle of P_o. Let A_s be the second intersection of circles (O) and (A'A"A_o), and build B_s, C_s cyclically. Then the lines AA_s, BB_s, CC_s are concurrent in a point Q₁(P', P"; P_o).

The point of concurrence Q₁(P', P"; P_o) is named here the Tran-Lozada CCO-perspector of (P',P"; P_o). If P' = x' : y' : z', P" = x" : y" : z" and P_o = x_o: y_o : z_o (barycentrics), then Q₁(P',P"; P_o) = a^2 x' x"/x_o : b^2 y' y"/y_o : c^2 z' z"/z_o.

The appearance of (i, j, k, n) in the folowing list means that Q₁(X(i), X(j); X(k) ) = X(n), for (i, j, k) ≤ 6:

(1, 2, 1, 6), (1, 3, 1, 184), (1, 4, 1, 25), (1, 5, 1, 51), (1, 6, 1, 32), (2, 3, 1, 48), (2, 4, 1, 19), (2, 5, 1, 1953), (2, 6, 1, 31), (3, 4, 1, 31), (3, 5, 1, 62266), (3, 6, 1, 9247), (4, 5, 1, 2181), (4, 6, 1, 1973), (5, 6, 1, 2179), (1, 2, 2, 31), (1, 3, 2, 9247), (1, 4, 2, 1973), (1, 5, 2, 2179), (1, 6, 2, 560), (2, 3, 2, 184), (2, 4, 2, 25), (2, 5, 2, 51), (2, 6, 2, 32), (3, 4, 2, 32), (3, 5, 2, 217), (3, 6, 2, 14575), (4, 5, 2, 3199), (4, 6, 2, 1974), (5, 6, 2, 40981), (1, 2, 3, 19), (1, 3, 3, 31), (1, 4, 3, 1096), (1, 5, 3, 2181), (1, 6, 3, 1973), (2, 3, 3, 6), (2, 4, 3, 393), (2, 5, 3, 53), (2, 6, 3, 25), (3, 4, 3, 25), (3, 5, 3, 51), (3, 6, 3, 32), (4, 5, 3, 14569), (4, 6, 3, 2207), (5, 6, 3, 3199), (1, 2, 4, 48), (1, 3, 4, 52430), (1, 4, 4, 31), (1, 5, 4, 62266), (1, 6, 4, 9247), (2, 3, 4, 577), (2, 4, 4, 6), (2, 5, 4, 216), (2, 6, 4, 184), (3, 4, 4, 184), (3, 5, 4, 418), (3, 6, 4, 14585), (4, 5, 4, 51), (4, 6, 4, 32), (5, 6, 4, 217), (1, 2, 5, 2148), (1, 3, 5, 62267), (1, 4, 5, 62268), (1, 5, 5, 31), (1, 6, 5, 62269), (2, 3, 5, 14533), (2, 4, 5, 8882), (2, 5, 5, 6), (2, 6, 5, 54034), (3, 4, 5, 54034), (3, 5, 5, 184), (3, 6, 5, 62270), (4, 5, 5, 25), (4, 6, 5, 62271), (5, 6, 5, 32), (1, 2, 6, 1), (1, 3, 6, 48), (1, 4, 6, 19), (1, 5, 6, 1953), (1, 6, 6, 31), (2, 3, 6, 3), (2, 4, 6, 4), (2, 5, 6, 5), (2, 6, 6, 6), (3, 4, 6, 6), (3, 5, 6, 216), (3, 6, 6, 184), (4, 5, 6, 53), (4, 6, 6, 25), (5, 6, 6, 51)

2) Let ABC be a triangle, P'_o, P"_o, P_i three points with P'_o ≠ P"_o, A'_oB'_oC'_o, A"_oB"_oC"_o the circumcevian triangles of P'_o and P"_o, respectively, and A_iB_iC_i the cevian triangle of P_i. Let A_s be the second intersection of the line BC and the circle (A'_oA"_oA_i) and build B_s, C_s cyclically. Then the lines AA_s, BB_s, CC_s are concurrent in a point Q₂(P'_o, P"_o; P_i).

Q₂(P'_o, P"_o; P_i) is named here the Tran-Lozada OOC-perspector of (P'_o, P"_o; P_i). If P'_o = x'_o : y'_o : z'_o, P"_o = x"_o : y"_o : z"_o, P_i = x_i : y_i : z_i (barycentrics), then Q₂(P'_o, P"_o; P*) = x'_o x"_o x_i/ a^2 : y'_o y"_o y_i/ b^2 : z'_o z"_o z_i/ c^2.

The appearance of (i, j, k, n) in the folowing list means that Q₂(X(i), X(j); X(k) ) = X(n), for (i, j, k) ≤ 6:

(1, 2, 1, 76), (1, 3, 1, 69), (1, 4, 1, 264), (1, 5, 1, 311), (1, 6, 1, 2), (2, 3, 1, 304), (2, 4, 1, 1969), (2, 5, 1, 62272), (2, 6, 1, 75), (3, 4, 1, 75), (3, 5, 1, 18695), (3, 6, 1, 63), (4, 5, 1, 62273), (4, 6, 1, 92), (5, 6, 1, 14213), (1, 2, 2, 75), (1, 3, 2, 63), (1, 4, 2, 92), (1, 5, 2, 14213), (1, 6, 2, 1), (2, 3, 2, 69), (2, 4, 2, 264), (2, 5, 2, 311), (2, 6, 2, 2), (3, 4, 2, 2), (3, 5, 2, 343), (3, 6, 2, 3), (4, 5, 2, 324), (4, 6, 2, 4), (5, 6, 2, 5), (1, 2, 3, 1969), (1, 3, 3, 75), (1, 4, 3, 57806), (1, 5, 3, 62273), (1, 6, 3, 92), (2, 3, 3, 76), (2, 4, 3, 18027), (2, 5, 3, 62274), (2, 6, 3, 264), (3, 4, 3, 264), (3, 5, 3, 311), (3, 6, 3, 2), (4, 5, 3, 62275), (4, 6, 3, 2052), (5, 6, 3, 324), (1, 2, 4, 304), (1, 3, 4, 326), (1, 4, 4, 75), (1, 5, 4, 18695), (1, 6, 4, 63), (2, 3, 4, 3926), (2, 4, 4, 76), (2, 5, 4, 28706), (2, 6, 4, 69), (3, 4, 4, 69), (3, 5, 4, 52347), (3, 6, 4, 394), (4, 5, 4, 311), (4, 6, 4, 2), (5, 6, 4, 343), (1, 2, 5, 62276), (1, 3, 5, 62277), (1, 4, 5, 40440), (1, 5, 5, 75), (1, 6, 5, 2167), (2, 3, 5, 34386), (2, 4, 5, 276), (2, 5, 5, 76), (2, 6, 5, 95), (3, 4, 5, 95), (3, 5, 5, 69), (3, 6, 5, 97), (4, 5, 5, 264), (4, 6, 5, 275), (5, 6, 5, 2), (1, 2, 6, 561), (1, 3, 6, 304), (1, 4, 6, 1969), (1, 5, 6, 62272), (1, 6, 6, 75), (2, 3, 6, 305), (2, 4, 6, 18022), (2, 5, 6, 62278), (2, 6, 6, 76), (3, 4, 6, 76), (3, 5, 6, 28706), (3, 6, 6, 69), (4, 5, 6, 62274), (4, 6, 6, 264), (5, 6, 6, 311)

X(62266) = TRAN-LOZADA CCO-PERSPECTOR OF (X(3), X(5); X(1) )

X(62266) lies on these lines: {1, 29}, {3, 22394}, {31, 48}, {38, 2632}, {42, 21860}, {55, 2638}, {56, 7138}, {73, 1104}, {162, 1954}, {216, 44707}, {240, 45224}, {244, 37755}, {336, 3112}, {354, 8763}, {756, 34591}, {869, 7124}, {872, 61395}, {916, 22069}, {1193, 37837}, {1409, 23204}, {1824, 45932}, {1953, 2181}, {2169, 2964}, {2286, 7032}, {2617, 14213}, {3248, 61396}, {3611, 7117}, {4055, 23207}, {7085, 20753}, {8766, 17469}, {16697, 44706}, {23197, 43218}, {26892, 51651}, {42074, 42080}

X(62266) = isotomic conjugate of the polar conjugate of X(2179)
X(62266) = isogonal conjugate of X(40440)
X(62266) = crossdifference of every pair of points on the line X(822)X(1577)
X(62266) = crosspoint of X(i) and X(j) for these {i, j}: {1, 48}, {216, 30493}, {1953, 44706}
X(62266) = crosssum of X(i) and X(j) for these {i, j}: {1, 92}, {4, 18676}, {75, 44179}, {2167, 2190}
X(62266) = X(i)-beth conjugate of X(j) for these (i, j): (23181, 44708), (44707, 44707)
X(62266) = X(i)-Ceva conjugate of X(j) for these (i, j): (1, 1953), (162, 822), (1953, 2179), (1956, 1755), (2166, 2315), (36145, 798), (44709, 216), (56194, 652)
X(62266) = X(48)-daleth conjugate of-X(1755)
X(62266) = X(i)-Dao conjugate of X(j) for these (i, j): (5, 75), (6, 62276), (9, 276), (130, 656), (206, 2190), (216, 1969), (1147, 62277), (2972, 14208), (6376, 57790), (6505, 34384), (6663, 62273), (14363, 57806), (15450, 1577), (17423, 2616), (22391, 2167), (32664, 275), (36033, 95), (36103, 8795), (39019, 20948), (39052, 42405), (40368, 62268), (40588, 92), (40591, 56189), (52032, 561), (52878, 240), (55066, 15412)
X(62266) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 275}, {3, 8795}, {4, 95}, {6, 276}, {19, 62276}, {24, 34385}, {25, 34384}, {27, 56246}, {28, 56189}, {32, 57790}, {54, 264}, {69, 8884}, {74, 43752}, {75, 2190}, {76, 8882}, {92, 2167}, {96, 317}, {97, 2052}, {140, 39286}, {158, 62277}, {184, 57844}, {186, 46138}, {252, 32002}, {253, 38808}, {273, 44687}, {286, 56254}, {288, 40684}, {290, 19189}, {305, 61362}, {340, 1141}, {393, 34386}, {394, 8794}, {427, 39287}, {458, 42300}, {470, 51275}, {471, 51268}, {520, 52779}, {523, 18831}, {525, 16813}, {561, 62268}, {647, 42405}, {648, 15412}, {670, 58756}, {811, 2616}, {850, 933}, {860, 39277}, {1105, 19166}, {1298, 16089}, {1502, 62271}, {1585, 16032}
X(62266) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 276), (3, 62276), (5, 1969), (19, 8795), (31, 275), (32, 2190), (48, 95), (51, 92), (53, 57806), (63, 34384), (71, 56189), (75, 57790), (92, 57844), (162, 42405), (163, 18831), (184, 2167), (216, 75), (217, 1), (228, 56246), (255, 34386), (343, 561), (418, 63), (560, 8882), (577, 62277), (810, 15412), (823, 54950), (1087, 62274), (1096, 8794), (1393, 331), (1501, 62268), (1568, 46234), (1625, 811), (1820, 34385), (1917, 62271), (1924, 58756), (1953, 264), (1973, 8884), (2173, 43752), (2179, 4), (2180, 317), (2181, 2052), (2200, 56254), (2290, 340), (2313, 16089), (2617, 6331), (3049, 2616), (3199, 158), (4592, 55218), (5562, 304), (6368, 20948)
X(62266) = X(48)-waw conjugate of-X(4020)
X(62266) = perspector of the circumconic through X(163) and X(823)
X(62266) = pole of the the tripolar of X(44709) with respect to the Johnson circumconic
X(62266) = pole of the line {75, 255} with respect to the Stammler hyperbola
X(62266) = pole of the line {326, 561} with respect to the Steiner-Wallace hyperbola
X(62266) = barycentric product X(i)*X(j) for these {i, j}: {1, 216}, {3, 1953}, {5, 48}, {6, 44706}, {9, 30493}, {19, 5562}, {31, 343}, {32, 18695}, {37, 44709}, {42, 16697}, {51, 63}, {52, 1820}, {53, 255}, {55, 44708}, {57, 44707}, {68, 2180}, {69, 2179}, {71, 18180}, {75, 217}, {92, 418}
X(62266) = trilinear product X(i)*X(j) for these {i, j}: {2, 217}, {3, 51}, {4, 418}, {5, 184}, {6, 216}, {22, 27372}, {24, 61363}, {25, 5562}, {31, 44706}, {32, 343}, {41, 44708}, {42, 44709}, {48, 1953}, {52, 2351}, {53, 577}, {54, 61378}, {55, 30493}, {56, 44707}, {63, 2179}, {69, 40981}
X(62266) = trilinear quotient X(i)/X(j) for these (i, j): (2, 276), (3, 95), (4, 8795), (5, 264), (6, 275), (25, 8884), (30, 43752), (31, 2190), (32, 8882), (48, 2167), (51, 4), (52, 317), (53, 2052), (63, 62276), (68, 34385), (69, 34384), (71, 56246), (72, 56189), (76, 57790), (107, 52779)
X(62266) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (3, 23112, 22394), (31, 48, 52430), (38, 6508, 2632), (162, 2167, 1954), (1953, 2181, 62259)

X(62267) = TRAN-LOZADA CCO-PERSPECTOR OF (X(1), X(3); X(5) )

X(62267) lies on these lines: {31, 2148}, {38, 293}, {255, 2169}, {563, 52430}, {933, 59042}, {2190, 45225}, {4055, 14533}, {9247, 62269}, {52434, 54034}

X(62267) = isotomic conjugate of the polar conjugate of X(62269)
X(62267) = isogonal conjugate of X(62273)
X(62267) = crosspoint of X(i) and X(j) for these {i, j}: {2148, 2169}, {2168, 2190}
X(62267) = X(2148)-Ceva conjugate of-X(62269)
X(62267) = X(9247)-cross conjugate of-X(2148)
X(62267) = X(i)-Dao conjugate of X(j) for these (i, j): (6, 62272), (9, 62274), (1147, 18695), (6505, 62278), (17423, 2618), (22391, 14213), (32664, 324), (34591, 15415), (36033, 311), (36103, 62275), (38986, 23290), (40368, 2181), (55066, 18314)
X(62267) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 324}, {3, 62275}, {4, 311}, {5, 264}, {6, 62274}, {19, 62272}, {25, 62278}, {51, 18022}, {52, 55553}, {53, 76}, {69, 13450}, {92, 14213}, {93, 57805}, {94, 14918}, {95, 60828}, {99, 23290}, {112, 15415}, {143, 20572}, {158, 18695}, {216, 18027}, {275, 45793}, {276, 36412}, {290, 39569}, {297, 53245}, {300, 6117}, {301, 6116}, {305, 14569}, {308, 27371}, {317, 56272}, {327, 39530}, {343, 2052}, {393, 28706}, {467, 5392}, {561, 2181}, {648, 18314}, {670, 51513}, {811, 2618}, {847, 39113}, {850, 35360}, {877, 61196}, {1087, 40440}, {1093, 52347}, {1154, 18817}, {1179, 1225}, {1235, 17500}, {1273, 6344}, {1502, 3199}, {1594, 59137}, {1953, 1969}, {2180, 57898}
X(62267) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62274), (3, 62272), (19, 62275), (31, 324), (48, 311), (54, 1969), (63, 62278), (96, 57898), (97, 561), (184, 14213), (217, 1087), (255, 28706), (560, 53), (563, 39113), (577, 18695), (656, 15415), (798, 23290), (810, 18314), (933, 57973), (1501, 2181), (1917, 3199), (1923, 27371), (1924, 51513), (1973, 13450), (2148, 264), (2167, 18022), (2168, 55553), (2169, 76), (2179, 60828), (2190, 18027), (3049, 2618), (4055, 42698), (4100, 52347), (8882, 57806), (9247, 5), (9417, 39569), (14533, 75), (14573, 19), (14575, 1953), (14585, 44706), (14586, 811), (14587, 46254), (15958, 799), (18315, 57968), (19210, 304), (19627, 51801), (23286, 20948), (34386, 1928), (36134, 6331), (40373, 2179)
X(62267) = pole of the line {18695, 62272} with respect to the Stammler hyperbola
X(62267) = barycentric product X(i)*X(j) for these {i, j}: {1, 14533}, {3, 2148}, {6, 2169}, {19, 19210}, {31, 97}, {32, 62277}, {47, 57703}, {48, 54}, {63, 54034}, {69, 62269}, {75, 62270}, {92, 62256}, {95, 9247}, {96, 563}, {162, 46088}, {163, 23286}, {184, 2167}, {255, 8882}, {275, 52430}, {293, 41270}
X(62267) = trilinear product X(i)*X(j) for these {i, j}: {2, 62270}, {3, 54034}, {4, 62256}, {6, 14533}, {25, 19210}, {31, 2169}, {32, 97}, {48, 2148}, {50, 11077}, {51, 46089}, {54, 184}, {63, 62269}, {69, 14573}, {95, 14575}, {96, 52435}, {110, 58308}, {112, 46088}, {248, 41270}, {255, 62268}, {275, 14585}
X(62267) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62274), (3, 311), (4, 62275), (6, 324), (25, 13450), (32, 53), (48, 14213), (49, 57805), (50, 14918), (51, 60828), (54, 264), (63, 62272), (69, 62278), (95, 18022), (96, 55553), (97, 76), (184, 5), (216, 45793), (217, 36412), (237, 39569)
X(62267) = (X(2148), X(62268))-harmonic conjugate of X(31)

X(62268) = TRAN-LOZADA CCO-PERSPECTOR OF (X(1), X(4); X(5) )

X(62268) lies on these lines: {1, 1748}, {19, 2168}, {31, 2148}, {42, 8882}, {54, 1245}, {213, 62271}, {275, 40718}, {560, 1096}, {741, 933}, {1402, 54034}, {1973, 62269}, {2181, 32676}, {3112, 40440}, {18826, 18831}, {36051, 36134}, {46289, 57653}, {57652, 61362}

X(62268) = isogonal conjugate of X(18695)
X(62268) = polar conjugate of X(62272)
X(62268) = cevapoint of X(560) and X(1973)
X(62268) = X(2190)-Ceva conjugate of-X(2148)
X(62268) = X(i)-cross conjugate of X(j) for these (i, j): (560, 62269), (62269, 2148)
X(62268) = X(i)-Dao conjugate of X(j) for these (i, j): (9, 28706), (206, 44706), (1249, 62272), (3162, 14213), (5139, 2618), (6523, 62273), (32664, 343), (36033, 52347), (36103, 311), (38986, 6368), (40368, 62266), (40586, 42698), (55066, 60597)
X(62268) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 343}, {3, 311}, {4, 52347}, {5, 69}, {6, 28706}, {48, 62272}, {51, 305}, {52, 20563}, {53, 3926}, {63, 14213}, {68, 39113}, {75, 44706}, {76, 216}, {81, 42698}, {97, 45793}, {99, 6368}, {184, 62278}, {217, 1502}, {255, 62273}, {264, 5562}, {265, 1273}, {287, 60524}, {290, 44716}, {298, 44713}, {299, 44714}, {300, 44711}, {301, 44712}, {304, 1953}, {306, 17167}, {312, 44708}, {313, 44709}, {315, 41168}, {321, 16697}, {324, 394}, {325, 53174}, {328, 1154}, {418, 18022}, {467, 52350}, {525, 14570}, {561, 62266}, {577, 62274}, {648, 60597}, {670, 15451}, {850, 23181}, {1087, 62277}, {1092, 62275}, {1216, 59137}, {1225, 40441}, {1238, 40449}, {1393, 3718}
X(62268) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 28706), (4, 62272), (19, 311), (25, 14213), (31, 343), (32, 44706), (42, 42698), (48, 52347), (54, 304), (92, 62278), (95, 40364), (158, 62274), (275, 561), (276, 1928), (393, 62273), (560, 216), (798, 6368), (810, 60597), (933, 799), (1096, 324), (1397, 44708), (1501, 62266), (1917, 217), (1924, 15451), (1973, 5), (1974, 1953), (2148, 69), (2167, 305), (2168, 20563), (2169, 3926), (2181, 45793), (2190, 76), (2203, 17167), (2206, 16697), (2489, 2618), (2616, 3267), (2623, 14208), (3199, 1087), (6520, 62275), (8882, 75), (8884, 1969), (9247, 5562), (9406, 1568), (9417, 44716), (9447, 44707), (14533, 326), (14573, 48), (14586, 4592), (16813, 57968), (18315, 55202)
X(62268) = pole of the the tripolar of X(62272) with respect to the polar circle
X(62268) = pole of the line {18695, 44706} with respect to the Stammler hyperbola
X(62268) = barycentric product X(i)*X(j) for these {i, j}: {1, 8882}, {4, 2148}, {6, 2190}, {19, 54}, {24, 2168}, {25, 2167}, {31, 275}, {32, 40440}, {48, 8884}, {63, 61362}, {75, 62271}, {92, 54034}, {95, 1973}, {97, 1096}, {112, 2616}, {158, 14533}, {162, 2623}, {264, 62269}, {276, 560}, {393, 2169}
X(62268) = trilinear product X(i)*X(j) for these {i, j}: {2, 62271}, {3, 61362}, {4, 54034}, {6, 8882}, {19, 2148}, {24, 41271}, {25, 54}, {31, 2190}, {32, 275}, {92, 62269}, {95, 1974}, {96, 44077}, {97, 2207}, {98, 58306}, {107, 58308}, {110, 58756}, {112, 2623}, {158, 62267}, {184, 8884}, {264, 14573}
X(62268) = trilinear quotient X(i)/X(j) for these (i, j): (2, 28706), (3, 52347), (4, 311), (6, 343), (19, 14213), (24, 39113), (25, 5), (31, 44706), (32, 216), (37, 42698), (53, 45793), (54, 69), (92, 62272), (95, 305), (96, 20563), (97, 3926), (112, 14570), (158, 62273), (184, 5562), (186, 1273)
X(62268) = (X(31), X(62267))-harmonic conjugate of X(2148)

X(62269) = TRAN-LOZADA CCO-PERSPECTOR OF (X(1), X(6); X(5) )

X(62269) lies on these lines: {47, 48}, {933, 59040}, {1910, 2190}, {1953, 2168}, {1959, 2167}, {1973, 62268}, {2200, 52426}, {9247, 62267}

X(62269) = polar conjugate of the isotomic conjugate of X(62267)
X(62269) = isogonal conjugate of X(62272)
X(62269) = crosspoint of X(2148) and X(62268)
X(62269) = crosssum of X(14213) and X(18695)
X(62269) = X(2148)-Ceva conjugate of-X(62267)
X(62269) = X(560)-cross conjugate of-X(62268)
X(62269) = X(i)-Dao conjugate of X(j) for these (i, j): (9, 62278), (206, 14213), (244, 15415), (3162, 62273), (22391, 18695), (32664, 311), (36033, 28706), (36103, 62274), (38986, 18314), (38996, 2618), (40368, 1953), (40369, 2179)
X(62269) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 311}, {3, 62274}, {4, 28706}, {5, 76}, {6, 62278}, {51, 1502}, {52, 57904}, {53, 305}, {63, 62273}, {69, 324}, {75, 14213}, {92, 18695}, {94, 1273}, {95, 45793}, {99, 18314}, {110, 15415}, {216, 18022}, {217, 44161}, {264, 343}, {286, 42698}, {290, 60524}, {300, 33529}, {301, 33530}, {310, 21011}, {313, 17167}, {315, 60515}, {325, 53245}, {327, 59197}, {328, 14918}, {394, 62275}, {467, 20563}, {561, 1953}, {670, 12077}, {799, 2618}, {850, 14570}, {1087, 62276}, {1154, 20573}, {1209, 57903}, {1225, 40393}, {1232, 31610}, {1393, 28659}, {1625, 44173}, {1928, 2179}, {1969, 44706}, {1978, 21102}, {2052, 52347}, {2181, 40364}, {2396, 61196}, {2617, 20948}, {3199, 40050}
X(62269) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62278), (19, 62274), (25, 62273), (31, 311), (32, 14213), (48, 28706), (54, 561), (95, 1928), (97, 40364), (184, 18695), (560, 5), (661, 15415), (669, 2618), (798, 18314), (933, 57968), (1096, 62275), (1501, 1953), (1917, 51), (1924, 12077), (1973, 324), (1980, 21102), (2148, 76), (2167, 1502), (2168, 57904), (2169, 305), (2179, 45793), (2190, 18022), (2200, 42698), (2205, 21011), (2616, 44173), (2623, 20948), (4117, 41221), (8882, 1969), (9233, 2179), (9247, 343), (9417, 60524), (9448, 7069), (14533, 304), (14573, 1), (14574, 2617), (14575, 44706), (14586, 799), (14587, 24037), (15958, 55202), (18315, 4602), (32692, 55215), (35196, 40072), (36134, 670), (40373, 62266), (40440, 44161)
X(62269) = pole of the line {14213, 62272} with respect to the Stammler hyperbola
X(62269) = barycentric product X(i)*X(j) for these {i, j}: {1, 54034}, {3, 62268}, {4, 62267}, {6, 2148}, {19, 14533}, {25, 2169}, {31, 54}, {32, 2167}, {47, 41271}, {48, 8882}, {63, 62271}, {75, 14573}, {92, 62270}, {95, 560}, {97, 1973}, {158, 62256}, {162, 58308}, {163, 2623}, {184, 2190}, {255, 61362}
X(62269) = trilinear product X(i)*X(j) for these {i, j}: {2, 14573}, {3, 62271}, {4, 62270}, {6, 54034}, {19, 62267}, {25, 14533}, {31, 2148}, {32, 54}, {48, 62268}, {95, 1501}, {96, 52436}, {97, 1974}, {112, 58308}, {184, 8882}, {248, 58306}, {275, 14575}, {276, 40373}, {393, 62256}, {512, 14586}, {560, 2167}
X(62269) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62278), (3, 28706), (4, 62274), (6, 311), (19, 62273), (25, 324), (31, 14213), (32, 5), (48, 18695), (50, 1273), (51, 45793), (54, 76), (95, 1502), (96, 57904), (97, 305), (184, 343), (228, 42698), (237, 60524), (275, 18022), (276, 44161)

X(62270) = TRAN-LOZADA CCO-PERSPECTOR OF (X(3), X(6); X(5) )

X(62270) lies on these lines: {6, 58735}, {32, 44077}, {39, 54}, {95, 3788}, {96, 7746}, {97, 28724}, {184, 8565}, {187, 8883}, {216, 40441}, {276, 39843}, {577, 1147}, {3199, 61362}, {3202, 14573}, {8882, 52418}, {14585, 52435}, {59172, 61360}

X(62270) = isotomic conjugate of the polar conjugate of X(14573)
X(62270) = polar conjugate of the isotomic conjugate of X(62256)
X(62270) = isogonal conjugate of X(62274)
X(62270) = cevapoint of X(14575) and X(61361)
X(62270) = crossdifference of every pair of points on the line X(15415)X(23290)
X(62270) = crosspoint of X(i) and X(j) for these {i, j}: {8882, 41271}, {14533, 54034}
X(62270) = crosssum of X(i) and X(j) for these {i, j}: {311, 324}, {343, 39113}
X(62270) = X(i)-Ceva conjugate of X(j) for these (i, j): (14533, 62256), (14586, 58308), (54034, 14573)
X(62270) = X(14575)-cross conjugate of-X(54034)
X(62270) = X(i)-Dao conjugate of X(j) for these (i, j): (6, 62278), (125, 15415), (206, 324), (1147, 28706), (3162, 62275), (17423, 18314), (22391, 311), (32664, 62273), (36033, 62272), (38996, 23290), (40368, 53), (40369, 3199)
X(62270) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 62273}, {4, 62272}, {5, 1969}, {19, 62278}, {52, 57898}, {53, 561}, {63, 62275}, {75, 324}, {92, 311}, {158, 28706}, {162, 15415}, {264, 14213}, {276, 1087}, {304, 13450}, {343, 57806}, {467, 20571}, {799, 23290}, {811, 18314}, {1502, 2181}, {1928, 3199}, {1953, 18022}, {2052, 18695}, {2179, 44161}, {2618, 6331}, {4602, 51513}, {6368, 57973}, {6521, 52347}, {12077, 57968}, {14569, 40364}, {18027, 44706}, {18833, 27371}, {20573, 51801}, {20948, 35360}, {21011, 57796}, {39113, 57716}, {39569, 46273}, {40440, 45793}, {40703, 53245}, {57790, 62259}, {60828, 62276}
X(62270) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (3, 62278), (25, 62275), (31, 62273), (32, 324), (48, 62272), (54, 18022), (95, 44161), (97, 1502), (184, 311), (217, 45793), (577, 28706), (647, 15415), (669, 23290), (1501, 53), (1917, 2181), (1974, 13450), (2148, 1969), (2168, 57898), (2169, 561), (3049, 18314), (8882, 18027), (9233, 3199), (9247, 14213), (9418, 39569), (9426, 51513), (11077, 20573), (14533, 76), (14573, 4), (14574, 35360), (14575, 5), (14585, 343), (14586, 6331), (14600, 53245), (15958, 670), (19210, 305), (19627, 14918), (23195, 1225), (23216, 41221), (23286, 44173), (23606, 52347), (34386, 40362), (36134, 57968), (40373, 51), (40981, 60828), (41270, 44132), (41271, 55553), (41331, 27371), (44162, 14569), (46088, 3267), (46089, 34384)
X(62270) = pole of the line {324, 27371} with respect to the Stammler hyperbola
X(62270) = barycentric product X(i)*X(j) for these {i, j}: {1, 62267}, {3, 54034}, {4, 62256}, {6, 14533}, {25, 19210}, {31, 2169}, {32, 97}, {48, 2148}, {50, 11077}, {51, 46089}, {54, 184}, {63, 62269}, {69, 14573}, {95, 14575}, {96, 52435}, {110, 58308}, {112, 46088}, {248, 41270}, {255, 62268}, {275, 14585}
X(62270) = trilinear product X(i)*X(j) for these {i, j}: {3, 62269}, {6, 62267}, {19, 62256}, {31, 14533}, {32, 2169}, {48, 54034}, {54, 9247}, {63, 14573}, {97, 560}, {163, 58308}, {184, 2148}, {255, 62271}, {563, 41271}, {577, 62268}, {798, 15958}, {810, 14586}, {1501, 62277}, {1917, 34386}, {1973, 19210}, {2167, 14575}
X(62270) = trilinear quotient X(i)/X(j) for these (i, j): (3, 62272), (6, 62273), (19, 62275), (31, 324), (48, 311), (54, 1969), (63, 62278), (96, 57898), (97, 561), (184, 14213), (217, 1087), (255, 28706), (560, 53), (563, 39113), (577, 18695), (656, 15415), (798, 23290), (810, 18314), (933, 57973), (1501, 2181)
X(62270) = (X(54034), X(62271))-harmonic conjugate of X(32)

X(62271) = TRAN-LOZADA CCO-PERSPECTOR OF (X(4), X(6); X(5) )

X(62271) lies on these lines: {6, 24}, {25, 41271}, {32, 44077}, {52, 32661}, {53, 1179}, {83, 275}, {95, 7807}, {96, 230}, {97, 52275}, {213, 62268}, {217, 41759}, {276, 3114}, {569, 10311}, {571, 39110}, {729, 933}, {1501, 2207}, {1609, 57703}, {1970, 45089}, {1971, 6146}, {1974, 14573}, {2148, 2281}, {2190, 40747}, {2211, 46288}, {2422, 58756}, {3053, 8883}, {3199, 11060}, {3225, 18831}, {3518, 61208}, {3575, 58312}, {6531, 8884}, {8571, 18474}, {10316, 19210}, {14586, 32654}, {14601, 27369}, {18315, 41909}, {19627, 47328}, {32692, 40120}, {34386, 40405}, {37085, 58308}, {40441, 41334}, {44162, 46319}, {46680, 62256}

X(62271) = isogonal conjugate of X(28706)
X(62271) = polar conjugate of X(62278)
X(62271) = cevapoint of X(i) and X(j) for these {i, j}: {32, 52436}, {1501, 1974}
X(62271) = crosspoint of X(8882) and X(61362)
X(62271) = crosssum of X(343) and X(52347)
X(62271) = X(8882)-Ceva conjugate of-X(54034)
X(62271) = X(i)-cross conjugate of X(j) for these (i, j): (1501, 14573), (1974, 61362), (2489, 61206), (14573, 54034)
X(62271) = X(i)-Dao conjugate of X(j) for these (i, j): (136, 15415), (206, 343), (1249, 62278), (3162, 311), (5139, 18314), (6523, 62274), (15259, 324), (17423, 60597), (22391, 52347), (32664, 18695), (36103, 62272), (38996, 6368), (40368, 216), (40369, 217), (40600, 42698)
X(62271) = X(54034)-hirst inverse of-X(58306)
X(62271) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 18695}, {3, 62272}, {5, 304}, {48, 62278}, {51, 40364}, {63, 311}, {69, 14213}, {75, 343}, {76, 44706}, {86, 42698}, {92, 52347}, {216, 561}, {217, 1928}, {255, 62274}, {305, 1953}, {313, 16697}, {324, 326}, {336, 60524}, {394, 62273}, {799, 6368}, {811, 60597}, {1087, 34386}, {1102, 13450}, {1393, 57919}, {1502, 62266}, {1568, 33805}, {1969, 5562}, {2179, 40050}, {2617, 3267}, {2618, 4563}, {3596, 44708}, {4575, 15415}, {4592, 18314}, {4602, 15451}, {6507, 62275}, {7069, 57918}, {12077, 55202}, {14208, 14570}, {17167, 20336}, {17434, 57968}, {18180, 40071}, {20567, 44707}, {20571, 52032}, {20641, 41168}, {20948, 23181}, {27801, 44709}, {28659, 30493}, {35442, 46254}, {42459, 57780}, {44715, 46234}
X(62271) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (4, 62278), (19, 62272), (25, 311), (31, 18695), (32, 343), (54, 305), (95, 40050), (184, 52347), (213, 42698), (275, 1502), (276, 40362), (393, 62274), (560, 44706), (669, 6368), (933, 670), (1096, 62273), (1501, 216), (1917, 62266), (1973, 14213), (1974, 5), (2148, 304), (2167, 40364), (2190, 561), (2207, 324), (2211, 60524), (2489, 18314), (2501, 15415), (2623, 3267), (3049, 60597), (3199, 45793), (6524, 62275), (8795, 44161), (8882, 76), (8884, 18022), (9233, 217), (9407, 1568), (9418, 44716), (9426, 15451), (9448, 44707), (14533, 3926), (14573, 3), (14574, 23181), (14575, 5562), (14586, 4563), (14587, 47389), (14601, 53174), (18315, 52608), (18831, 4609), (19210, 4176), (23286, 52617)
X(62271) = pole of the line {15415, 18314} with respect to the polar circle
X(62271) = pole of the line {1594, 53485} with respect to the Kiepert circumhyperbola
X(62271) = pole of the line {343, 28706} with respect to the Stammler hyperbola
X(62271) = barycentric product X(i)*X(j) for these {i, j}: {1, 62268}, {3, 61362}, {4, 54034}, {6, 8882}, {19, 2148}, {24, 41271}, {25, 54}, {31, 2190}, {32, 275}, {92, 62269}, {95, 1974}, {96, 44077}, {97, 2207}, {98, 58306}, {107, 58308}, {110, 58756}, {112, 2623}, {158, 62267}, {184, 8884}, {264, 14573}
X(62271) = trilinear product X(i)*X(j) for these {i, j}: {4, 62269}, {6, 62268}, {19, 54034}, {25, 2148}, {31, 8882}, {32, 2190}, {48, 61362}, {54, 1973}, {92, 14573}, {158, 62270}, {163, 58756}, {275, 560}, {276, 1917}, {393, 62267}, {798, 933}, {1096, 14533}, {1501, 40440}, {1910, 58306}, {1924, 18831}, {1974, 2167}
X(62271) = trilinear quotient X(i)/X(j) for these (i, j): (4, 62272), (6, 18695), (19, 311), (25, 14213), (31, 343), (32, 44706), (42, 42698), (48, 52347), (54, 304), (92, 62278), (95, 40364), (158, 62274), (275, 561), (276, 1928), (393, 62273), (560, 216), (798, 6368), (810, 60597), (933, 799), (1096, 324)
X(62271) = (X(32), X(62270))-harmonic conjugate of X(54034)

X(62272) = TRAN-LOZADA OOC-PERSPECTOR OF (X(2), X(5); X(1) )

X(62272) lies on these lines: {75, 91}, {76, 60091}, {92, 304}, {799, 62276}, {1760, 3403}, {1910, 4593}, {1920, 54443}, {1930, 23994}, {18695, 62273}, {27801, 57905}

X(62272) = isotomic conjugate of X(2148)
X(62272) = polar conjugate of X(62268)
X(62272) = isogonal conjugate of X(62269)
X(62272) = cevapoint of X(14213) and X(18695)
X(62272) = crosspoint of X(1969) and X(57898)
X(62272) = X(i)-Ceva conjugate of X(j) for these (i, j): (561, 18695), (799, 20948)
X(62272) = X(14213)-cross conjugate of-X(62273)
X(62272) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 2148), (5, 9247), (6, 62267), (9, 54034), (137, 798), (216, 31), (338, 661), (343, 563), (1249, 62268), (4858, 2623), (6337, 2169), (6374, 2167), (6376, 54), (6505, 14533), (6663, 2179), (14213, 21768), (14363, 1973), (16577, 21741), (31998, 36134), (32664, 14573), (34591, 58308), (36033, 62270), (36103, 62271), (36901, 2616), (39019, 810), (39039, 58306), (39040, 41270), (39054, 14586), (40588, 560), (52032, 48), (52869, 9406), (60596, 1755)
X(62272) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 14573}, {3, 62271}, {4, 62270}, {6, 54034}, {19, 62267}, {25, 14533}, {31, 2148}, {32, 54}, {48, 62268}, {95, 1501}, {96, 52436}, {97, 1974}, {112, 58308}, {184, 8882}, {248, 58306}, {275, 14575}, {276, 40373}, {393, 62256}, {512, 14586}, {560, 2167}, {571, 41271}, {577, 61362}, {669, 18315}, {798, 36134}, {933, 3049}, {1141, 19627}, {1576, 2623}, {1917, 62276}, {1973, 2169}, {1976, 41270}, {2190, 9247}, {2207, 19210}, {2489, 15958}, {3124, 14587}, {3199, 46089}, {8795, 61361}, {8884, 14585}, {8901, 23963}, {9233, 34384}, {11077, 34397}, {14574, 15412}, {14581, 46090}, {14600, 19189}, {14827, 62264}, {14910, 61372}, {16030, 46288}, {16813, 58310}, {23286, 61206}, {32661, 58756}, {32692, 34952}
X(62272) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 54034), (2, 2148), (3, 62267), (4, 62268), (5, 31), (19, 62271), (31, 14573), (48, 62270), (51, 560), (53, 1973), (63, 14533), (69, 2169), (75, 54), (76, 2167), (91, 41271), (92, 8882), (99, 36134), (158, 61362), (216, 9247), (240, 58306), (255, 62256), (264, 2190), (304, 97), (305, 62277), (311, 1), (313, 56254), (314, 35196), (324, 19), (326, 19210), (341, 62265), (343, 48), (561, 95), (656, 58308), (662, 14586), (799, 18315), (811, 933), (850, 2616), (1087, 51), (1088, 62264), (1273, 6149), (1393, 1397), (1502, 62276), (1577, 2623), (1725, 61372), (1928, 34384), (1930, 16030), (1953, 32), (1959, 41270), (1969, 275), (2179, 1501)
X(62272) = X(2616)-zayin conjugate of-X(798)
X(62272) = perspector of the circumconic through X(55215) and X(57968)
X(62272) = pole of the the tripolar of X(62268) with respect to the polar circle
X(62272) = pole of the line {9247, 62267} with respect to the Stammler hyperbola
X(62272) = pole of the line {47, 48} with respect to the Steiner-Wallace hyperbola
X(62272) = barycentric product X(i)*X(j) for these {i, j}: {1, 62278}, {5, 561}, {51, 1928}, {53, 40364}, {63, 62274}, {69, 62273}, {75, 311}, {76, 14213}, {92, 28706}, {264, 18695}, {304, 324}, {326, 62275}, {343, 1969}, {662, 15415}, {670, 2618}, {799, 18314}, {1087, 34384}, {1393, 40363}, {1502, 1953}, {2179, 40362}
X(62272) = trilinear product X(i)*X(j) for these {i, j}: {2, 311}, {3, 62274}, {4, 28706}, {5, 76}, {6, 62278}, {51, 1502}, {52, 57904}, {53, 305}, {63, 62273}, {69, 324}, {75, 14213}, {92, 18695}, {94, 1273}, {95, 45793}, {99, 18314}, {110, 15415}, {216, 18022}, {217, 44161}, {264, 343}, {286, 42698}
X(62272) = trilinear quotient X(i)/X(j) for these (i, j): (2, 54034), (3, 62270), (4, 62271), (5, 32), (6, 14573), (51, 1501), (52, 52436), (53, 1974), (63, 62267), (69, 14533), (75, 2148), (76, 54), (92, 62268), (99, 14586), (216, 14575), (217, 40373), (264, 8882), (297, 58306), (304, 2169), (305, 97)
X(62272) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (304, 1969, 46234), (561, 1969, 304)

X(62273) = TRAN-LOZADA OOC-PERSPECTOR OF (X(4), X(5); X(1) )

X(62273) lies on these lines: {75, 158}, {92, 18041}, {264, 20566}, {319, 57812}, {324, 42698}, {326, 46234}, {662, 9252}, {811, 40440}, {1760, 51315}, {17858, 23994}, {18695, 62272}, {46404, 46749}, {52575, 57910}

X(62273) = polar conjugate of X(2148)
X(62273) = isotomic conjugate of X(2169)
X(62273) = isogonal conjugate of X(62267)
X(62273) = X(1969)-Ceva conjugate of-X(14213)
X(62273) = X(i)-cross conjugate of X(j) for these (i, j): (1087, 14213), (14213, 62272)
X(62273) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 2169), (5, 52430), (9, 14533), (137, 810), (139, 55216), (216, 48), (244, 58308), (338, 656), (1249, 2148), (3162, 62269), (4858, 23286), (6374, 62277), (6376, 97), (6505, 19210), (6523, 62268), (6663, 62266), (14213, 22457), (14363, 31), (14920, 6149), (16577, 22342), (32664, 62270), (34591, 46088), (35441, 37754), (36033, 62256), (36103, 54034), (39019, 822), (39039, 41270), (39052, 14586), (39054, 15958), (39062, 36134), (40588, 9247), (44311, 57103), (52032, 255)
X(62273) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 62270}, {3, 54034}, {4, 62256}, {6, 14533}, {25, 19210}, {31, 2169}, {32, 97}, {48, 2148}, {50, 11077}, {51, 46089}, {54, 184}, {63, 62269}, {69, 14573}, {95, 14575}, {96, 52435}, {110, 58308}, {112, 46088}, {248, 41270}, {255, 62268}, {275, 14585}, {276, 61361}, {394, 62271}, {512, 15958}, {560, 62277}, {563, 2168}, {571, 57703}, {577, 8882}, {647, 14586}, {810, 36134}, {933, 39201}, {1092, 61362}, {1147, 41271}, {1166, 23195}, {1495, 46090}, {1501, 34386}, {1576, 23286}, {2167, 9247}, {2190, 52430}, {2623, 32661}, {3049, 18315}, {5504, 61372}, {8565, 40140}, {8794, 36433}, {8884, 23606}, {10547, 16030}, {13366, 20574}, {14587, 20975}, {14642, 33629}, {17810, 46092}, {17974, 58306}
X(62273) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 14533), (2, 2169), (4, 2148), (5, 48), (19, 54034), (25, 62269), (31, 62270), (48, 62256), (51, 9247), (52, 563), (53, 31), (63, 19210), (75, 97), (76, 62277), (91, 57703), (92, 54), (158, 8882), (162, 14586), (216, 52430), (240, 41270), (264, 2167), (311, 63), (324, 1), (343, 255), (393, 62268), (467, 47), (561, 34386), (648, 36134), (656, 46088), (661, 58308), (662, 15958), (811, 18315), (823, 933), (847, 2168), (1087, 216), (1096, 62271), (1393, 52411), (1577, 23286), (1847, 62264), (1895, 33629), (1953, 184), (1969, 95), (1973, 14573), (2052, 2190), (2166, 11077), (2167, 46089), (2179, 14575), (2180, 52435), (2181, 32), (2349, 46090)
X(62273) = pole of the line {810, 8648} with respect to the polar circle
X(62273) = pole of the line {563, 52430} with respect to the Stammler hyperbola
X(62273) = pole of the line {255, 2169} with respect to the Steiner-Wallace hyperbola
X(62273) = barycentric product X(i)*X(j) for these {i, j}: {1, 62274}, {4, 62272}, {5, 1969}, {19, 62278}, {52, 57898}, {53, 561}, {63, 62275}, {75, 324}, {92, 311}, {158, 28706}, {162, 15415}, {264, 14213}, {276, 1087}, {304, 13450}, {343, 57806}, {467, 20571}, {799, 23290}, {811, 18314}, {1502, 2181}, {1928, 3199}
X(62273) = trilinear product X(i)*X(j) for these {i, j}: {2, 324}, {3, 62275}, {4, 311}, {5, 264}, {6, 62274}, {19, 62272}, {25, 62278}, {51, 18022}, {52, 55553}, {53, 76}, {69, 13450}, {92, 14213}, {93, 57805}, {94, 14918}, {95, 60828}, {99, 23290}, {112, 15415}, {143, 20572}, {158, 18695}, {216, 18027}
X(62273) = trilinear quotient X(i)/X(j) for these (i, j): (2, 14533), (3, 62256), (4, 54034), (5, 184), (6, 62270), (19, 62269), (25, 14573), (51, 14575), (52, 52435), (53, 32), (69, 19210), (75, 2169), (76, 97), (92, 2148), (94, 11077), (95, 46089), (99, 15958), (158, 62268), (216, 14585), (217, 61361)
X(62273) = (X(1969), X(57806))-harmonic conjugate of X(75)

X(62274) = TRAN-LOZADA OOC-PERSPECTOR OF (X(2), X(5); X(3) )

X(62274) lies on these lines: {4, 60518}, {76, 297}, {83, 6531}, {99, 9291}, {264, 847}, {276, 6331}, {311, 13450}, {316, 54100}, {324, 27371}, {325, 42368}, {1078, 16089}, {7828, 16081}, {8795, 58015}, {14111, 20572}, {15897, 35360}, {17907, 32832}, {22456, 58734}, {23107, 44173}, {32992, 40822}, {34386, 57844}, {44161, 52568}, {44345, 46115}

X(62274) = isotomic conjugate of X(14533)
X(62274) = polar conjugate of X(54034)
X(62274) = isogonal conjugate of X(62270)
X(62274) = cevapoint of X(i) and X(j) for these {i, j}: {311, 324}, {343, 39113}
X(62274) = crosssum of X(14575) and X(61361)
X(62274) = X(18022)-Ceva conjugate of-X(311)
X(62274) = X(i)-cross conjugate of X(j) for these (i, j): (311, 62278), (324, 62275), (45793, 311)
X(62274) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 14533), (5, 14585), (6, 62256), (9, 62267), (115, 58308), (137, 3049), (139, 34952), (216, 184), (264, 26887), (311, 23158), (338, 647), (570, 23195), (1249, 54034), (3162, 14573), (6337, 19210), (6374, 97), (6376, 2169), (6523, 62271), (6663, 217), (9410, 46090), (14363, 32), (14920, 50), (15450, 58310), (15526, 46088), (18402, 19627), (31998, 15958), (35441, 34980), (36103, 62269), (36901, 23286), (39019, 39201), (39062, 14586), (40588, 14575), (52032, 577), (60596, 3289)
X(62274) = X(i)-isoconjugate of X(j) for these {i, j}: {3, 62269}, {6, 62267}, {19, 62256}, {31, 14533}, {32, 2169}, {48, 54034}, {54, 9247}, {63, 14573}, {97, 560}, {163, 58308}, {184, 2148}, {255, 62271}, {563, 41271}, {577, 62268}, {798, 15958}, {810, 14586}, {1501, 62277}, {1917, 34386}, {1973, 19210}, {2167, 14575}, {2168, 52435}, {2179, 46089}, {2190, 14585}, {3049, 36134}, {4100, 61362}, {8882, 52430}, {9406, 46090}, {32676, 46088}, {40373, 62276}, {40440, 61361}
X(62274) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62267), (2, 14533), (3, 62256), (4, 54034), (5, 184), (19, 62269), (25, 14573), (51, 14575), (52, 52435), (53, 32), (69, 19210), (75, 2169), (76, 97), (92, 2148), (94, 11077), (95, 46089), (99, 15958), (158, 62268), (216, 14585), (217, 61361), (264, 54), (297, 41270), (311, 3), (324, 6), (327, 51444), (328, 50463), (343, 577), (393, 62271), (403, 61372), (467, 571), (523, 58308), (525, 46088), (561, 62277), (648, 14586), (811, 36134), (847, 41271), (850, 23286), (1087, 62266), (1093, 61362), (1209, 23195), (1225, 1216), (1235, 16030), (1273, 22115), (1494, 46090), (1502, 34386), (1594, 59172), (1953, 9247), (1969, 2167), (2052, 8882), (2181, 560)
X(62274) = trilinear pole of the line {15415, 23290} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62274) = pole of the line {3049, 19627} with respect to the polar circle
X(62274) = pole of the line {14585, 52435} with respect to the Stammler hyperbola
X(62274) = pole of the line {577, 1147} with respect to the Steiner-Wallace hyperbola
X(62274) = barycentric product X(i)*X(j) for these {i, j}: {4, 62278}, {5, 18022}, {51, 44161}, {53, 1502}, {69, 62275}, {75, 62273}, {76, 324}, {92, 62272}, {264, 311}, {276, 45793}, {305, 13450}, {343, 18027}, {467, 57904}, {648, 15415}, {670, 23290}, {1273, 18817}, {1928, 2181}, {1969, 14213}, {2052, 28706}, {2618, 57968}
X(62274) = trilinear product X(i)*X(j) for these {i, j}: {2, 62273}, {4, 62272}, {5, 1969}, {19, 62278}, {52, 57898}, {53, 561}, {63, 62275}, {75, 324}, {92, 311}, {158, 28706}, {162, 15415}, {264, 14213}, {276, 1087}, {304, 13450}, {343, 57806}, {467, 20571}, {799, 23290}, {811, 18314}, {1502, 2181}, {1928, 3199}
X(62274) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62267), (4, 62269), (5, 9247), (19, 14573), (53, 560), (63, 62256), (75, 14533), (76, 2169), (92, 54034), (158, 62271), (264, 2148), (304, 19210), (311, 48), (324, 31), (343, 52430), (561, 97), (799, 15958), (811, 14586), (1087, 217), (1502, 62277)
X(62274) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (276, 6331, 7769), (18022, 18027, 76)

X(62275) = TRAN-LOZADA OOC-PERSPECTOR OF (X(4), X(5); X(3) )

X(62275) lies on these lines: {4, 61636}, {5, 264}, {53, 53245}, {95, 9291}, {265, 6528}, {276, 14938}, {311, 13450}, {317, 42355}, {324, 34836}, {393, 42354}, {418, 16089}, {467, 2052}, {1494, 57843}, {14860, 54105}, {19130, 52661}, {20564, 57851}, {30506, 44176}, {33664, 58732}, {34385, 43995}, {39431, 52779}, {40410, 57844}, {60828, 61532}

X(62275) = polar conjugate of X(14533)
X(62275) = isotomic conjugate of X(19210)
X(62275) = isogonal conjugate of X(62256)
X(62275) = cevapoint of X(i) and X(j) for these {i, j}: {5, 467}, {324, 13450}, {18314, 35442}
X(62275) = X(18027)-Ceva conjugate of-X(324)
X(62275) = X(i)-cross conjugate of X(j) for these (i, j): (324, 62274), (35442, 18314), (60828, 324)
X(62275) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 19210), (5, 23606), (115, 46088), (136, 58308), (137, 39201), (139, 30451), (140, 61355), (216, 577), (338, 520), (1249, 14533), (3162, 62270), (6368, 41219), (6523, 54034), (6663, 418), (14363, 184), (14920, 22115), (15259, 14573), (35441, 35071), (36103, 62267), (39019, 32320), (39062, 15958), (40588, 14585), (52032, 1092)
X(62275) = X(i)-isoconjugate of X(j) for these {i, j}: {3, 62267}, {31, 19210}, {48, 14533}, {54, 52430}, {63, 62270}, {97, 9247}, {163, 46088}, {184, 2169}, {255, 54034}, {326, 14573}, {394, 62269}, {563, 57703}, {577, 2148}, {810, 15958}, {822, 14586}, {1092, 62268}, {2167, 14585}, {2190, 23606}, {4100, 8882}, {4575, 58308}, {6507, 62271}, {14575, 62277}, {36134, 39201}, {44687, 62258}, {46089, 62266}, {61361, 62276}
X(62275) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 19210), (4, 14533), (5, 577), (19, 62267), (25, 62270), (51, 14585), (53, 184), (92, 2169), (94, 50463), (107, 14586), (158, 2148), (216, 23606), (233, 61355), (264, 97), (275, 46089), (311, 394), (324, 3), (343, 1092), (393, 54034), (418, 36433), (467, 1147), (523, 46088), (648, 15958), (823, 36134), (847, 57703), (1093, 8882), (1096, 62269), (1953, 52430), (1969, 62277), (2052, 54), (2181, 9247), (2207, 14573), (2501, 58308), (2618, 822), (3199, 14575), (6116, 46113), (6117, 46112), (6344, 11077), (6368, 32320), (6520, 62268), (6521, 2190), (6524, 62271), (6528, 18315), (6530, 41270), (12077, 39201), (13157, 14379), (13450, 6), (14129, 49), (14213, 255), (14249, 33629)
X(62275) = trilinear pole of the line {18314, 57195} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62275) = pole of the line {30451, 39201} with respect to the polar circle
X(62275) = pole of the line {23606, 62256} with respect to the Stammler hyperbola
X(62275) = pole of the line {1092, 19210} with respect to the Steiner-Wallace hyperbola
X(62275) = barycentric product X(i)*X(j) for these {i, j}: {4, 62274}, {5, 18027}, {53, 18022}, {76, 13450}, {92, 62273}, {107, 15415}, {158, 62272}, {264, 324}, {276, 60828}, {311, 2052}, {393, 62278}, {467, 55553}, {1093, 28706}, {1502, 14569}, {2618, 57973}, {3199, 44161}, {6331, 23290}, {6521, 18695}, {6528, 18314}, {8795, 45793}
X(62275) = trilinear product X(i)*X(j) for these {i, j}: {4, 62273}, {5, 57806}, {19, 62274}, {53, 1969}, {75, 13450}, {92, 324}, {158, 311}, {343, 6521}, {393, 62272}, {467, 57716}, {561, 14569}, {811, 23290}, {823, 18314}, {1087, 8795}, {1093, 18695}, {1096, 62278}, {1953, 18027}, {2052, 14213}, {2181, 18022}, {2618, 6528}
X(62275) = trilinear quotient X(i)/X(j) for these (i, j): (4, 62267), (5, 52430), (19, 62270), (53, 9247), (75, 19210), (92, 14533), (158, 54034), (264, 2169), (311, 255), (324, 48), (343, 4100), (393, 62269), (467, 563), (811, 15958), (823, 14586), (1087, 418), (1093, 62268), (1096, 14573), (1393, 62258), (1577, 46088)
X(62275) = (X(6528), X(8795))-harmonic conjugate of X(32002)

X(62276) = TRAN-LOZADA OOC-PERSPECTOR OF (X(1), X(2); X(5) )

X(62276) lies on these lines: {63, 1969}, {75, 255}, {95, 7523}, {275, 60197}, {276, 349}, {304, 2167}, {336, 1930}, {799, 62272}, {811, 44706}, {1102, 3403}, {1231, 20924}, {1821, 4020}, {2148, 46238}, {19811, 34384}

X(62276) = isotomic conjugate of X(1953)
X(62276) = isogonal conjugate of X(2179)
X(62276) = polar conjugate of X(2181)
X(62276) = cevapoint of X(i) and X(j) for these {i, j}: {2, 21271}, {63, 75}, {2167, 62277}, {56189, 56246}
X(62276) = X(i)-cross conjugate of X(j) for these (i, j): (63, 62277), (2167, 40440), (20879, 75), (20948, 799), (21231, 2), (24018, 811), (56189, 34384), (56246, 95)
X(62276) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 1953), (6, 62266), (9, 51), (37, 21807), (216, 62259), (244, 55219), (1249, 2181), (3160, 1393), (3161, 7069), (4858, 12077), (6337, 44706), (6374, 14213), (6376, 5), (6505, 216), (6626, 18180), (31998, 2617), (32664, 40981), (34021, 17167), (34591, 15451), (36033, 217), (36103, 3199), (36901, 2618), (38985, 42293), (39052, 52604), (39054, 1625), (39081, 2313), (40603, 21011), (40604, 2290), (40619, 21102)
X(62276) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 40981}, {3, 3199}, {4, 217}, {5, 32}, {6, 51}, {19, 62266}, {25, 216}, {31, 1953}, {41, 1393}, {48, 2181}, {52, 60501}, {53, 184}, {54, 62260}, {69, 61346}, {83, 27374}, {98, 52967}, {107, 42293}, {110, 55219}, {112, 15451}, {213, 18180}, {237, 60517}, {263, 59208}, {311, 1501}, {324, 14575}, {343, 1974}, {393, 418}, {512, 1625}, {523, 61194}, {560, 14213}, {577, 14569}, {604, 7069}, {607, 30493}, {608, 44707}, {647, 52604}, {669, 14570}, {798, 2617}, {1087, 62269}, {1154, 11060}, {1333, 21807}, {1568, 40354}, {1576, 12077}, {1917, 62272}, {1918, 17167}, {1973, 44706}, {2052, 44088}, {2081, 14560}, {2148, 62259}, {2206, 21011}, {2207, 5562}, {2211, 53174}
X(62276) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 51), (2, 1953), (3, 62266), (4, 2181), (5, 62259), (7, 1393), (8, 7069), (10, 21807), (19, 3199), (31, 40981), (48, 217), (54, 31), (63, 216), (69, 44706), (75, 5), (76, 14213), (77, 30493), (78, 44707), (86, 18180), (92, 53), (95, 1), (97, 48), (99, 2617), (158, 14569), (162, 52604), (163, 61194), (255, 418), (274, 17167), (275, 19), (276, 92), (304, 343), (305, 18695), (311, 1087), (319, 35194), (321, 21011), (323, 2290), (326, 5562), (336, 53174), (340, 51801), (348, 44708), (401, 2313), (561, 311), (656, 15451), (661, 55219), (662, 1625), (693, 21102), (799, 14570), (811, 35360), (822, 42293), (823, 61193)
X(62276) = trilinear pole of the line {2616, 14208} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62276) = perspector of the inconic with center X(21231)
X(62276) = pole of the the tripolar of X(2181) with respect to the polar circle
X(62276) = pole of the line {2179, 62266} with respect to the Stammler hyperbola
X(62276) = pole of the line {1953, 2179} with respect to the Steiner-Wallace hyperbola
X(62276) = barycentric product X(i)*X(j) for these {i, j}: {1, 34384}, {38, 41488}, {48, 57790}, {54, 561}, {63, 276}, {69, 40440}, {75, 95}, {76, 2167}, {86, 56189}, {92, 34386}, {97, 1969}, {255, 57844}, {264, 62277}, {274, 56246}, {275, 304}, {305, 2190}, {310, 56254}, {326, 8795}, {661, 55218}, {670, 2616}
X(62276) = trilinear product X(i)*X(j) for these {i, j}: {2, 95}, {3, 276}, {4, 34386}, {6, 34384}, {39, 41488}, {54, 76}, {63, 40440}, {69, 275}, {75, 2167}, {81, 56189}, {85, 44687}, {86, 56246}, {92, 62277}, {96, 7763}, {97, 264}, {99, 15412}, {107, 15414}, {140, 31617}, {141, 39287}, {183, 42300}
X(62276) = trilinear quotient X(i)/X(j) for these (i, j): (2, 51), (3, 217), (4, 3199), (5, 62260), (6, 40981), (25, 61346), (39, 27374), (54, 32), (63, 62266), (69, 216), (75, 1953), (76, 5), (85, 1393), (92, 2181), (95, 6), (96, 60501), (97, 184), (99, 1625), (110, 61194), (183, 59208)
X(62276) = (X(75), X(62277))-harmonic conjugate of X(40440)

X(62277) = TRAN-LOZADA OOC-PERSPECTOR OF (X(1), X(3); X(5) )

X(62277) lies on these lines: {63, 2148}, {75, 255}, {95, 307}, {97, 3998}, {326, 2169}, {775, 57972}, {2168, 8773}, {4592, 18695}, {6149, 17859}, {34386, 52396}, {42714, 56189}, {62264, 62265}

X(62277) = isotomic conjugate of the polar conjugate of X(2167)
X(62277) = isotomic conjugate of the isogonal conjugate of X(2169)
X(62277) = isogonal conjugate of X(2181)
X(62277) = cevapoint of X(i) and X(j) for these {i, j}: {3, 23112}, {63, 255}
X(62277) = X(62276)-Ceva conjugate of-X(2167)
X(62277) = X(i)-cross conjugate of X(j) for these (i, j): (63, 62276), (2169, 2167), (14208, 4592), (22394, 3)
X(62277) = X(i)-Dao conjugate of X(j) for these (i, j): (5, 62259), (6, 1953), (9, 53), (244, 51513), (577, 2180), (905, 60804), (1147, 62266), (4858, 23290), (6337, 14213), (6338, 18695), (6374, 62273), (6376, 324), (6503, 44706), (6505, 5), (11517, 7069), (15526, 2618), (22391, 2179), (26932, 21102), (32664, 3199), (34544, 11062), (34591, 12077), (36033, 51), (36103, 14569), (38985, 15451), (39040, 39569), (39052, 61193), (39054, 35360), (40585, 27371), (40591, 21807), (40604, 51801), (51574, 21011), (52032, 1087), (55066, 55219)
X(62277) = X(i)-isoconjugate of X(j) for these {i, j}: {2, 3199}, {3, 14569}, {4, 51}, {5, 25}, {6, 53}, {19, 1953}, {28, 21807}, {32, 324}, {33, 1393}, {34, 7069}, {52, 14593}, {54, 62261}, {76, 61346}, {92, 2179}, {107, 15451}, {110, 51513}, {112, 12077}, {158, 62266}, {184, 13450}, {216, 393}, {217, 2052}, {232, 60517}, {233, 33631}, {250, 41221}, {251, 27371}, {263, 39530}, {264, 40981}, {275, 62260}, {311, 1974}, {343, 2207}, {418, 1093}, {467, 60501}, {512, 35360}, {523, 52604}, {560, 62273}, {647, 61193}, {648, 55219}, {1087, 62268}, {1096, 44706}, {1118, 44707}, {1154, 18384}, {1173, 53386}, {1474, 21011}, {1501, 62274}, {1576, 23290}, {1609, 41536}, {1625, 2501}, {1824, 18180}, {1843, 17500}, {1857, 30493}
X(62277) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 53), (3, 1953), (19, 14569), (31, 3199), (38, 27371), (47, 14576), (48, 51), (54, 19), (63, 5), (69, 14213), (71, 21807), (72, 21011), (75, 324), (76, 62273), (92, 13450), (95, 92), (97, 1), (162, 61193), (163, 52604), (184, 2179), (216, 62259), (219, 7069), (222, 1393), (255, 216), (275, 158), (276, 57806), (293, 60517), (304, 311), (305, 62272), (323, 51801), (326, 343), (336, 53245), (343, 1087), (394, 44706), (525, 2618), (560, 61346), (561, 62274), (577, 62266), (656, 12077), (661, 51513), (662, 35360), (810, 55219), (822, 15451), (905, 21102), (921, 41536), (933, 24019), (1102, 52347), (1147, 2180), (1444, 17167), (1577, 23290)
X(62277) = inverse Mimosa transform of X(21361)
X(62277) = pole of the line {1953, 2181} with respect to the Stammler hyperbola
X(62277) = pole of the line {1087, 2181} with respect to the Steiner-Wallace hyperbola
X(62277) = barycentric product X(i)*X(j) for these {i, j}: {1, 34386}, {3, 62276}, {48, 34384}, {54, 304}, {63, 95}, {69, 2167}, {75, 97}, {76, 2169}, {162, 15414}, {255, 276}, {275, 326}, {305, 2148}, {348, 44687}, {394, 40440}, {561, 14533}, {799, 23286}, {810, 55218}, {1102, 8884}, {1231, 35196}, {1444, 56246}
X(62277) = trilinear product X(i)*X(j) for these {i, j}: {2, 97}, {3, 95}, {6, 34386}, {48, 62276}, {49, 57765}, {54, 69}, {63, 2167}, {75, 2169}, {76, 14533}, {77, 44687}, {96, 9723}, {99, 23286}, {112, 15414}, {183, 51444}, {184, 34384}, {249, 53576}, {252, 44180}, {255, 40440}, {264, 19210}, {275, 394}
X(62277) = trilinear quotient X(i)/X(j) for these (i, j): (2, 53), (3, 51), (4, 14569), (5, 62261), (6, 3199), (32, 61346), (48, 2179), (54, 25), (63, 1953), (69, 5), (72, 21807), (76, 324), (77, 1393), (78, 7069), (95, 4), (96, 14593), (97, 6), (99, 35360), (110, 52604), (125, 41221)
X(62277) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (63, 4100, 18042), (40440, 62276, 75)

X(62278) = TRAN-LOZADA OOC-PERSPECTOR OF (X(2), X(5); X(6) )

X(62278) lies on these lines: {2, 42354}, {76, 5392}, {98, 689}, {264, 305}, {315, 2387}, {324, 27371}, {338, 40379}, {343, 53245}, {670, 34384}, {7769, 57903}, {8024, 23962}, {8039, 52568}, {14570, 40588}, {16276, 17984}, {34254, 44144}, {37894, 46247}, {39113, 59137}, {40022, 40822}, {45805, 55530}, {45806, 55529}

X(62278) = isogonal conjugate of X(14573)
X(62278) = isotomic conjugate of X(54034)
X(62278) = polar conjugate of X(62271)
X(62278) = cevapoint of X(i) and X(j) for these {i, j}: {311, 28706}, {18314, 41221}
X(62278) = crosspoint of X(1502) and X(44161)
X(62278) = crosssum of X(1501) and X(40373)
X(62278) = X(i)-Ceva conjugate of X(j) for these (i, j): (670, 44173), (1502, 28706)
X(62278) = X(i)-cross conjugate of X(j) for these (i, j): (311, 62274), (1225, 76), (41221, 18314)
X(62278) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 54034), (5, 14575), (6, 62270), (9, 62269), (137, 669), (216, 32), (338, 512), (343, 52435), (1249, 62271), (2972, 58310), (5976, 41270), (6337, 14533), (6338, 19210), (6374, 54), (6376, 2148), (6503, 62256), (6505, 62267), (6663, 40981), (9428, 18315), (14363, 1974), (14920, 34397), (15526, 58308), (31998, 14586), (34834, 61372), (36901, 2623), (39019, 3049), (40588, 1501), (44311, 58315), (52032, 184), (52869, 9407), (60596, 237)
X(62278) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 62269}, {19, 62270}, {25, 62267}, {31, 54034}, {32, 2148}, {48, 62271}, {54, 560}, {95, 1917}, {184, 62268}, {669, 36134}, {798, 14586}, {1096, 62256}, {1501, 2167}, {1924, 18315}, {1973, 14533}, {1974, 2169}, {2168, 52436}, {2190, 14575}, {2616, 14574}, {8882, 9247}, {9233, 62276}, {32676, 58308}, {40373, 40440}, {41280, 44687}, {44162, 62277}, {52430, 61362}
X(62278) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 62269), (2, 54034), (3, 62270), (4, 62271), (5, 32), (51, 1501), (52, 52436), (53, 1974), (63, 62267), (69, 14533), (75, 2148), (76, 54), (92, 62268), (99, 14586), (216, 14575), (217, 40373), (264, 8882), (297, 58306), (304, 2169), (305, 97), (311, 6), (324, 25), (325, 41270), (328, 11077), (343, 184), (394, 62256), (418, 61361), (467, 44077), (525, 58308), (561, 2167), (670, 18315), (799, 36134), (850, 2623), (1087, 2179), (1154, 19627), (1225, 570), (1273, 50), (1502, 95), (1625, 14574), (1928, 62276), (1953, 560), (1969, 2190), (2052, 61362), (2179, 1917), (2618, 798), (3199, 44162), (3265, 46088), (3267, 23286), (3580, 61372), (3926, 19210)
X(62278) = X(1502)-waw conjugate of-X(52568)
X(62278) = trilinear pole of the line {15415, 18314} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62278) = pole of the the tripolar of X(62271) with respect to the polar circle
X(62278) = pole of the line {3202, 14573} with respect to the Stammler hyperbola
X(62278) = pole of the line {160, 184} with respect to the Steiner-Wallace hyperbola
X(62278) = barycentric product X(i)*X(j) for these {i, j}: {5, 1502}, {51, 40362}, {53, 40050}, {69, 62274}, {75, 62272}, {76, 311}, {99, 15415}, {216, 44161}, {264, 28706}, {304, 62273}, {305, 324}, {343, 18022}, {561, 14213}, {670, 18314}, {1225, 57903}, {1273, 20573}, {1928, 1953}, {1969, 18695}, {2618, 4602}, {3199, 40360}
X(62278) = trilinear product X(i)*X(j) for these {i, j}: {2, 62272}, {5, 561}, {51, 1928}, {53, 40364}, {63, 62274}, {69, 62273}, {75, 311}, {76, 14213}, {92, 28706}, {264, 18695}, {304, 324}, {326, 62275}, {343, 1969}, {662, 15415}, {670, 2618}, {799, 18314}, {1087, 34384}, {1393, 40363}, {1502, 1953}, {2179, 40362}
X(62278) = trilinear quotient X(i)/X(j) for these (i, j): (2, 62269), (5, 560), (51, 1917), (63, 62270), (69, 62267), (75, 54034), (76, 2148), (92, 62271), (264, 62268), (304, 14533), (305, 2169), (311, 31), (324, 1973), (326, 62256), (343, 9247), (561, 54), (670, 36134), (799, 14586), (1087, 40981), (1393, 41280)
X(62278) = (X(1502), X(18022))-harmonic conjugate of X(305)

X(62279) = 20th TRAN VIET HUNG-LOZADA CENTER

See Tran Viet Hung and César Lozada, Romantics of Geometry - March 19, 2024.

X(62279) lies on these lines: {125, 1647}, {2310, 6615}, {6734, 38211}

X(62279) = complementary conjugate of X(2490)
X(62279) = X(i)-Ceva conjugate of X(j) for these (i, j): (66, 6363), (6601, 42337)
X(62279) = X(i)-complementary conjugate of X(j) for these (i, j): (1, 2490), (75, 6363), (244, 2170), (269, 42337), (513, 17355), (650, 52528), (661, 27040), (1086, 24237), (1122, 522), (1201, 650), (1828, 3239), (2254, 19593), (3057, 4521), (3452, 20317), (3663, 513), (3669, 6692), (3676, 5836), (3752, 514), (4415, 4129), (4642, 661), (6363, 37), (6615, 9), (18600, 4369), (20228, 6586), (20895, 59971), (21120, 3452), (21272, 24003), (21362, 4422), (21580, 27076), (23845, 24036), (26563, 3835), (27499, 31286), (42336, 17053), (46004, 59579), (48334, 2), (52563, 4885), (59173, 905), (61222, 3039)
X(62279) = center of the circumconic through X(66) and X(2192)

  Seven circles points: X(62280) - X(62286)  

The following theorem appears in C. J. A. Evelyn, G. B. Money-Coutts, J. A. Tyrrell, The seven circles theorem and other new theorems, Great Britain, 1974:

Let (A'), (B'), (C') be three circles externally tangent (or internally tangent) to a circle (O), and touching this at A₁, B₁, C₁, respectively. Let (A") be the circle externally tangent to (B'), (C'), and externally tangent to (O) (or internally tangent to (O), but with center A" in the side of B'C' not containing A'), touching (O) at A₂, and define (B"), (C"), B₂, C₂ cyclically. Then, whenever the seven circles can be built, the lines A₁A₂, B₁B₂, C₁C₂ concur. (See figure here)

The points of concurrence Q_e (or Q_i) for both cases are denoted here as the external (or internal) seven circles point of circles (A'), (B'), (C').

The appearance of (Γ, i, j) in the following list means that the external- and internal- seven circles points of circles Γ are X(i) and X(j), respectively:

(excircles, 62280, 62281), (excosine, 6221, 6398), (Johnson, na, 8), (Lucas(+1), 6468, 6), (Lucas(-1), 6469, 6), (Lucas(+1) secondary, 62282, 6), (Lucas(-1) secondary, 62283, 6), (inner-mixtilinear, na, 61635), (outer-mixtilinear, 8832, 62284), (inner-Malfatti, 62285, 62286), (Soddy, 1371, 1372), (inner-Yff, na, 2099), (outer-Yff, na, 2098)

X(62280) = EXTERNAL SEVEN CIRCLES POINT OF EXCIRCLES

X(62280) lies on these lines: {10, 62281}, {12, 60537}

X(62281) = INTERNAL SEVEN CIRCLES POINT OF EXCIRCLES

X(62281) lies on these lines: {10, 62280}, {181, 60537}

X(62282) = EXTERNAL SEVEN CIRCLES POINT OF LUCAS(+1)-SECONDARY CIRCLES

X(62282) lies on these lines: {3, 6}, {404, 1132}, {3071, 17573}, {3316, 6906}, {6459, 19537}, {19541, 53519}, {37022, 42414}, {39641, 39642}

X(62282) = inverse of X(62283) in 1st Brocard circle
X(62282) = pole of the line {512, 62283} with respect to the 1st Brocard circle
X(62282) = pole of the line {5, 43505} with respect to the Evans conic
X(62282) = pole of the line {184, 62283} with respect to the Jerabek circumhyperbola
X(62282) = pole of the line {2, 62283} with respect to the Stammler hyperbola
X(62282) = pole of the line {5651, 62283} with respect to the Thomson-Gibert-Moses hyperbola

X(62283) = EXTERNAL SEVEN CIRCLES POINT OF LUCAS(-1)-SECONDARY CIRCLES

X(62283) lies on these lines: {3, 6}, {404, 1131}, {3070, 17573}, {3317, 6906}, {6460, 19537}, {19541, 53518}, {37022, 42413}, {39641, 39642}

X(62283) = inverse of X(62282) in 1st Brocard circle
X(62283) = pole of the line {512, 62282} with respect to the 1st Brocard circle
X(62283) = pole of the line {5, 43506} with respect to the Evans conic
X(62283) = pole of the line {184, 62282} with respect to the Jerabek circumhyperbola
X(62283) = pole of the line {2, 62282} with respect to the Stammler hyperbola
X(62283) = pole of the line {5651, 62282} with respect to the Thomson-Gibert-Moses hyperbola

X(62284) = INTERNAL SEVEN CIRCLES POINT OF OUTER-MIXTILINEAR CIRCLES

X(62284) lies on these lines: {56, 365}, {364, 7991}, {367, 7962}, {6244, 8832}, {53056, 61142}

X(62285) = EXTERNAL SEVEN CIRCLES POINT OF INNER-MALFATTI CIRCLES

X(62285) lies on these lines: {483, 1127}, {21455, 53078}

X(62285) = (X(483), X(31495))-harmonic conjugate of X(62286)

X(62286) = INTERNAL SEVEN CIRCLES POINT OF INNER-MALFATTI CIRCLES

X(62286) lies on these lines: {483, 1127}, {21455, 53076}

X(62286) = (X(483), X(31495))-harmonic conjugate of X(62285)

X(62287) = INVERSE OF X(2) IN COSINE CIRCLE

X(62287) lies on these lines: {2, 6}, {111, 8681}, {353, 32621}, {511, 38716}, {843, 3565}, {895, 41936}, {1499, 2451}, {2393, 10765}, {3266, 41909}, {8549, 46959}, {9027, 36696}, {10766, 21639}, {17979, 38688}, {32127, 39024}, {39238, 39576}

X(62288) = INVERSE OF X(2) IN 2ND DROZ-FARNY CIRCLE

X(62288) lies on these lines: {2, 3}, {69, 47474}, {110, 1514}, {125, 50434}, {146, 3564}, {325, 46988}, {511, 12825}, {516, 47321}, {524, 41737}, {575, 61744}, {850, 46991}, {895, 1503}, {944, 47471}, {1552, 14919}, {2777, 3580}, {2892, 47558}, {3012, 11809}, {3292, 38791}, {5160, 9627}, {5731, 51725}, {5889, 51491}, {5893, 34148}, {6000, 53781}, {6293, 36983}, {6776, 47571}, {7991, 47492}, {8705, 44439}, {9628, 10149}, {10564, 46686}, {10574, 16227}, {11257, 47579}, {11477, 61721}, {11806, 12295}, {12112, 52124}, {12121, 46817}, {13142, 22979}, {13219, 40996}, {13445, 15044}, {13446, 15012}, {13568, 22466}, {14094, 44665}, {14927, 52238}, {15019, 16657}, {15034, 51425}, {15054, 15311}, {15055, 20725}, {16306, 44518}, {16625, 34563}, {17702, 32111}, {23515, 58871}, {25406, 47457}, {28164, 51693}, {29181, 32113}, {32271, 54215}, {33748, 47461}, {34628, 47495}, {34632, 47488}, {34796, 41588}, {35903, 40135}, {36201, 53777}, {36993, 47575}, {36995, 47576}, {36998, 47577}, {37477, 58885}, {37853, 61691}, {39663, 46981}, {41336, 53419}, {44882, 47455}, {44967, 44988}, {44972, 44974}, {46264, 47581}, {46426, 56925}, {46850, 58481}, {47003, 47263}, {47450, 48872}, {47453, 59411}, {47473, 54170}, {47551, 54174}, {47569, 48873}, {51742, 53093}

X(62288) = midpoint of X(i) and X(j) for these {i,j}: {23, 3146}, {382, 18325}
X(62288) = reflection of X(i) in X(j) for these {i,j}: {110, 1514}, {10295, 11799}, {10564, 46686}, {11257, 47579}, {12121, 46817}, {15646, 11558}, {15681, 18579}, {15704, 18571}, {16386, 403}, {18323, 3627}, {18572, 3853}, {20, 468}, {2071, 10151}, {20725, 47296}, {325, 46988}, {3153, 13473}, {3292, 38791}, {34628, 47495}, {34632, 47488}, {36993, 47575}, {36995, 47576}, {36998, 47577}, {37477, 58885}, {46264, 47581}, {46818, 32111}, {46850, 58481}, {48873, 47569}, {50434, 125}, {54170, 47473}, {54174, 47551}, {54215, 32271}, {69, 47474}, {6776, 47571}, {7464, 10297}, {7991, 47492}, {850, 46991}, {858, 4}, {944, 47471}
X(62288) = inverse of X(15078) in circumcircle
X(62288) = inverse of X(2) in 2nd Droz-Farny circle
X(62288) = inverse of X(44276) in circumcircle of the Johnson triangle
X(62288) = inverse of X(44438) in polar circle
X(62288) = inverse of X(51519) in Stammler circle
X(62288) = X(i)-vertex conjugate of X(j) for these {i, j}: {523, 15078}
X(62288) = pole of line {523, 15078} with respect to the circumcircle
X(62288) = pole of line {2, 523} with respect to the 2nd Droz-Farny circle
X(62288) = pole of line {523, 44276} with respect to the circumcircle of the Johnson triangle
X(62288) = pole of line {523, 44438} with respect to the polar circle
X(62288) = pole of line {523, 51519} with respect to the Stammler circle
X(62288) = pole of line {185, 12824} with respect to the Jerabek hyperbola
X(62288) = pole of line {6, 41737} with respect to the Kiepert hyperbola
X(62288) = pole of line {525, 37643} with respect to the Steiner circumellipse
X(62288) = pole of line {69, 15055} with respect to the Wallace hyperbola
X(62288) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(250), X(15078)}}, {{A, B, C, X(378), X(46426)}}, {{A, B, C, X(468), X(11744)}}, {{A, B, C, X(523), X(44438)}}, {{A, B, C, X(895), X(2071)}}, {{A, B, C, X(2697), X(16051)}}, {{A, B, C, X(4235), X(48373)}}, {{A, B, C, X(15077), X(30552)}}, {{A, B, C, X(16835), X(45172)}}, {{A, B, C, X(34802), X(45171)}}, {{A, B, C, X(47097), X(54919)}}, {{A, B, C, X(49672), X(60122)}}, {{A, B, C, X(54512), X(54995)}}
X(62288) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4, 30, 858}, {4, 7464, 10297}, {23, 3146, 30}, {30, 10151, 2071}, {30, 10297, 7464}, {30, 11558, 15646}, {30, 11799, 10295}, {30, 13473, 3153}, {30, 18571, 15704}, {30, 18579, 15681}, {30, 3627, 18323}, {30, 3853, 18572}, {30, 403, 16386}, {30, 468, 20}, {186, 6622, 468}, {1113, 1114, 15078}, {2071, 3091, 5159}, {3543, 14807, 10736}, {3543, 14808, 10737}, {5159, 10151, 3091}, {10295, 11799, 7426}, {11563, 15704, 18571}, {17702, 32111, 46818}, {20725, 47296, 15055}

X(62289) = INVERSE OF X(2) IN 1ST LEMOINE CIRCLE

X(62289) lies on these lines: {2, 98}, {6, 13193}, {32, 895}, {74, 13355}, {83, 15118}, {206, 45018}, {671, 19136}, {691, 2882}, {1078, 5181}, {1177, 53765}, {1691, 2854}, {2030, 46298}, {2080, 14984}, {2456, 5663}, {2930, 39560}, {2936, 41614}, {5034, 52699}, {5038, 6593}, {9830, 18374}, {9876, 10602}, {9976, 39750}, {10753, 13352}, {11380, 41616}, {11623, 43815}, {11842, 39562}, {13858, 54298}, {13859, 54297}, {14700, 32740}, {14928, 19121}, {19120, 59793}, {19127, 51798}, {23235, 44470}, {25328, 32242}, {32305, 38523}

X(62289) = inverse of X(2) in 1st Lemoine circle
X(62289) = pole of line {2, 690} with respect to the 1st Lemoine circle
X(62289) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {182, 11579, 12192}

X(62290) = INVERSE OF X(2) IN STAMMLER CIRCLE

X(62290) lies on these lines: {2, 3}, {187, 40237}, {399, 23061}, {511, 12308}, {1533, 38789}, {2930, 19924}, {3098, 18551}, {3292, 37496}, {5093, 15826}, {5160, 6767}, {5898, 38790}, {6781, 44533}, {7286, 7373}, {7728, 12584}, {8546, 31670}, {8705, 44456}, {9019, 48679}, {10263, 52100}, {10545, 52099}, {10564, 38638}, {10620, 15107}, {11586, 21310}, {11649, 55724}, {12902, 16010}, {13391, 14094}, {14128, 33542}, {14926, 41462}, {15039, 43574}, {15054, 32608}, {15743, 21311}, {16194, 55606}, {18435, 52987}, {18439, 54202}, {19130, 38402}, {22338, 34010}, {29323, 58789}, {32217, 55705}, {32306, 54147}, {32609, 43576}, {34013, 38730}, {35707, 43621}, {37827, 46264}, {40115, 40350}

X(62290) = reflection of X(i) in X(j) for these {i,j}: {10620, 15107}, {32306, 54147}
X(62290) = inverse of X(12100) in circumcircle
X(62290) = inverse of X(2) in Stammler circle
X(62290) = X(i)-vertex conjugate of X(j) for these {i, j}: {523, 12100}
X(62290) = pole of line {523, 12100} with respect to the circumcircle
X(62290) = pole of line {2, 523} with respect to the Stammler circle
X(62290) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(250), X(12100)}}, {{A, B, C, X(2693), X(34200)}}, {{A, B, C, X(7533), X(18550)}}
X(62290) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 7530, 13621}, {23, 18571, 2070}, {23, 7464, 18571}, {1113, 1114, 12100}, {12103, 18369, 3}, {15154, 15155, 2}, {15156, 15157, 546}

X(62291) = INVERSE OF X(2) IN TANGENTIAL CIRCLE

X(62291) lies on these lines: {2, 3}, {111, 62369}, {232, 9380}, {842, 59004}, {1485, 52692}, {2916, 16776}, {2918, 61134}, {3447, 51862}, {6800, 52989}, {8262, 19596}, {9465, 44523}, {10313, 11062}, {11649, 44494}, {15141, 27085}, {20987, 32218}

X(62292) = INVERSE OF X(2) IN JOHNSON CIRCUMCONIC

X(62292) lies on these lines: {2, 3}, {51, 56302}, {110, 43768}, {511, 44003}, {520, 31296}, {3060, 43988}, {3164, 11002}, {5640, 42329}, {32428, 35360}, {35098, 43766}, {36831, 41586}, {37779, 44004}, {39243, 59183}, {60593, 61194}

X(62293) = INVERSE OF X(2) IN LEMOINE INELLIPSE

X(62293) lies on these lines: {2, 6}, {297, 52467}, {511, 43910}, {671, 34806}, {1499, 8352}, {3363, 5640}, {5077, 18911}, {6791, 62311}, {7426, 18800}, {9140, 37350}, {11162, 52229}, {13378, 19130}, {15098, 33006}, {15360, 27088}, {20382, 53499}, {31099, 46959}, {31654, 51396}, {32130, 41895}, {40915, 61488}

X(62294) = INVERSE OF X(2) IN ARTZT CIRCLE

X(62294) lies on these lines: {2, 6}, {23, 51224}, {30, 11258}, {111, 3849}, {538, 10717}, {543, 9870}, {671, 10989}, {754, 9172}, {843, 9100}, {2071, 61443}, {2770, 11636}, {2782, 19906}, {3291, 31173}, {3839, 38951}, {5503, 14515}, {6032, 7617}, {7426, 51240}, {7664, 26613}, {7775, 39576}, {7812, 16042}, {8597, 34169}, {9464, 11336}, {9759, 9970}, {9939, 16055}, {14360, 52229}, {14568, 20389}, {26276, 52141}, {39602, 42008}

X(62295) = INVERSE OF X(2) IN ANTI-ARTZT CIRCLE

X(62295) lies on these lines: {2, 6}, {23, 58854}, {187, 10554}, {1499, 9485}, {3849, 11162}, {8598, 9143}, {9146, 62309}, {10510, 20381}, {10989, 11161}, {13378, 43150}, {33884, 35955}, {35933, 62336}

X(62296) = INVERSE OF X(2) IN DUAL CONIC OF 1ST YFF-MOSES HYPERBOLA

X(62296) lies on these lines: {1, 2}, {44, 4781}, {513, 14404}, {536, 3952}, {537, 17495}, {750, 50283}, {903, 20347}, {1575, 39982}, {2238, 4370}, {3740, 27804}, {3995, 42056}, {4023, 48821}, {4465, 28309}, {4688, 46897}, {4755, 27811}, {4767, 17160}, {4849, 17140}, {4850, 50075}, {4954, 37680}, {5247, 16397}, {9260, 45332}, {9350, 37639}, {16610, 17145}, {16704, 56009}, {17146, 24620}, {17487, 17759}, {17756, 37654}, {19647, 50810}, {19796, 57524}, {21870, 24589}, {25351, 31029}, {26580, 50091}, {31025, 50096}, {32931, 50086}, {35983, 41629}, {46904, 50094}

X(62296) = midpoint of X(i) and X(j) for these {i,j}: {2, 19998}
X(62296) = reflection of X(i) in X(j) for these {i,j}: {2, 899}, {29824, 2}, {52768, 1575}
X(62296) = pole of line {514, 4664} with respect to the Steiner circumellipse
X(62296) = pole of line {514, 4755} with respect to the Steiner inellipse
X(62296) = pole of line {190, 47763} with respect to the Yff parabola
X(62296) = pole of line {2, 513} with respect to the dual conic of 1st Yff-Moses hyperbola
X(62296) = intersection, other than A, B, C, of circumconics {{A, B, C, X(513), X(30950)}}, {{A, B, C, X(899), X(39982)}}, {{A, B, C, X(903), X(29824)}}, {{A, B, C, X(35168), X(57038)}}
X(62296) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 19998, 519}, {2, 519, 29824}, {42, 899, 49997}, {43, 31855, 899}, {239, 54309, 17780}, {519, 899, 2}, {899, 49983, 4871}, {899, 49988, 19998}, {19998, 20039, 20012}, {19998, 31855, 4651}, {36440, 36458, 56191}, {49984, 49988, 59295}

X(62297) = INVERSE OF X(2) IN DUAL CONIC OF ADAMS CIRCLE

X(62297) lies on these lines: {1, 2899}, {2, 2415}, {8, 4342}, {9, 28808}, {10, 17461}, {11, 3717}, {43, 4780}, {57, 1997}, {69, 31142}, {75, 5316}, {142, 30829}, {145, 28661}, {149, 49991}, {190, 3911}, {226, 17234}, {306, 27131}, {312, 2321}, {329, 30567}, {341, 12053}, {344, 5219}, {345, 30827}, {346, 5328}, {391, 11679}, {514, 661}, {516, 5205}, {517, 62394}, {519, 13541}, {536, 51415}, {537, 24216}, {556, 34849}, {644, 31171}, {726, 5121}, {740, 5212}, {899, 61223}, {903, 36915}, {946, 46937}, {1054, 28526}, {1125, 56311}, {1213, 44417}, {1265, 9581}, {1266, 16594}, {1329, 58822}, {1738, 24003}, {1999, 4856}, {2325, 4582}, {2796, 62379}, {2885, 56174}, {2886, 59506}, {3008, 32094}, {3035, 59581}, {3038, 35104}, {3120, 60423}, {3175, 37663}, {3210, 27130}, {3218, 4480}, {3264, 14554}, {3621, 8834}, {3634, 56313}, {3662, 30861}, {3674, 18135}, {3685, 6745}, {3699, 5853}, {3701, 41012}, {3705, 4082}, {3710, 4193}, {3756, 28582}, {3813, 59577}, {3816, 3967}, {3817, 29641}, {3840, 56312}, {3846, 39597}, {3880, 6018}, {3883, 4679}, {3932, 5087}, {3952, 4899}, {3971, 24239}, {3992, 30384}, {4001, 26792}, {4023, 4519}, {4034, 14555}, {4078, 17717}, {4085, 24210}, {4357, 30818}, {4370, 59769}, {4398, 31233}, {4415, 17235}, {4416, 31018}, {4417, 17240}, {4427, 37762}, {4431, 4671}, {4545, 4886}, {4847, 27538}, {4871, 21093}, {4967, 5241}, {5231, 27549}, {5274, 5423}, {5400, 23691}, {5542, 30947}, {5744, 25728}, {6552, 12541}, {6692, 32939}, {6700, 7283}, {7081, 40998}, {7263, 31197}, {7988, 30741}, {9779, 39570}, {10453, 21060}, {11019, 32937}, {11238, 30615}, {12625, 44722}, {13161, 25079}, {13741, 34937}, {16593, 61078}, {17164, 25011}, {17244, 26137}, {17280, 30867}, {17338, 59595}, {17353, 17720}, {17495, 25268}, {17721, 49527}, {17776, 30852}, {18141, 28609}, {18153, 30545}, {20103, 32932}, {20236, 26591}, {21242, 42056}, {21627, 44720}, {22097, 29418}, {23511, 30699}, {24217, 49529}, {24390, 59582}, {24392, 59599}, {24427, 25377}, {24620, 53594}, {24709, 32927}, {24982, 25253}, {26005, 51390}, {26245, 60846}, {26688, 26723}, {27064, 39595}, {27395, 27413}, {27489, 49507}, {28236, 47624}, {28580, 56009}, {29820, 59730}, {30305, 51284}, {31053, 46938}, {31137, 49505}, {31647, 62398}, {32843, 49990}, {32844, 49762}, {32865, 59684}, {33780, 52563}, {35652, 37662}, {36791, 59712}, {37660, 50093}, {44446, 53056}, {45939, 59639}, {51615, 58371}

X(62297) = midpoint of X(i) and X(j) for these {i,j}: {5205, 17777}
X(62297) = reflection of X(i) in X(j) for these {i,j}: {1054, 50535}, {4582, 2325}, {5121, 11814}, {58371, 51615}
X(62297) = complement of X(62300)
X(62297) = perspector of circumconic {{A, B, C, X(75), X(53647)}}
X(62297) = X(i)-isoconjugate-of-X(j) for these {i, j}: {6, 8686}, {56, 40400}, {101, 37627}, {604, 1120}, {608, 1811}, {1397, 36805}, {1415, 23836}, {1417, 52556}, {6079, 57181}, {9456, 56642}
X(62297) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 40400}, {9, 8686}, {1015, 37627}, {1146, 23836}, {2087, 53528}, {2325, 519}, {3161, 1120}, {4370, 56642}, {16594, 57}, {16610, 3911}, {21129, 40617}, {52871, 52556}
X(62297) = X(i)-Ceva conjugate of X(j) for these {i, j}: {190, 21129}, {903, 8}, {3264, 6735}, {4997, 52140}, {14554, 3687}
X(62297) = X(i)-complementary conjugate of X(j) for these {i, j}: {23835, 116}
X(62297) = X(i)-cross conjugate of X(j) for these {i, j}: {3880, 1266}
X(62297) = pole of line {9746, 28296} with respect to the orthoptic circle of the Steiner Inellipse
X(62297) = pole of line {1086, 3687} with respect to the Kiepert hyperbola
X(62297) = pole of line {163, 16947} with respect to the Stammler hyperbola
X(62297) = pole of line {8, 3667} with respect to the Steiner circumellipse
X(62297) = pole of line {10, 3667} with respect to the Steiner inellipse
X(62297) = pole of line {522, 3699} with respect to the Yff parabola
X(62297) = pole of line {662, 1412} with respect to the Wallace hyperbola
X(62297) = pole of line {2, 514} with respect to the dual conic of Adams circle
X(62297) = pole of line {2, 514} with respect to the dual conic of Conway circle
X(62297) = pole of line {2, 514} with respect to the dual conic of incircle
X(62297) = pole of line {514, 3729} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62297) = pole of line {4033, 4391} with respect to the dual conic of Feuerbach hyperbola
X(62297) = pole of line {1577, 53545} with respect to the dual conic of Stammler hyperbola
X(62297) = pole of line {8, 244} with respect to the dual conic of Yff parabola
X(62297) = pole of line {661, 21950} with respect to the dual conic of Wallace hyperbola
X(62297) = pole of line {2, 514} with respect to the dual conic of Suppa-Cucoanes circle
X(62297) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(4462)}}, {{A, B, C, X(8), X(52574)}}, {{A, B, C, X(9), X(47765)}}, {{A, B, C, X(312), X(514)}}, {{A, B, C, X(661), X(2321)}}, {{A, B, C, X(693), X(1266)}}, {{A, B, C, X(1149), X(3687)}}, {{A, B, C, X(1577), X(4052)}}, {{A, B, C, X(2415), X(4358)}}, {{A, B, C, X(3239), X(30693)}}, {{A, B, C, X(3452), X(48334)}}, {{A, B, C, X(3731), X(14350)}}, {{A, B, C, X(3762), X(4997)}}, {{A, B, C, X(3766), X(4087)}}, {{A, B, C, X(3835), X(4110)}}, {{A, B, C, X(3911), X(21129)}}, {{A, B, C, X(3912), X(23705)}}, {{A, B, C, X(4391), X(6557)}}, {{A, B, C, X(4468), X(27819)}}, {{A, B, C, X(4695), X(50457)}}, {{A, B, C, X(4801), X(16711)}}, {{A, B, C, X(5233), X(45247)}}, {{A, B, C, X(6018), X(14554)}}, {{A, B, C, X(6332), X(52406)}}, {{A, B, C, X(18743), X(30568)}}, {{A, B, C, X(30806), X(61186)}}, {{A, B, C, X(36800), X(45661)}}, {{A, B, C, X(56081), X(59779)}}
X(62297) = barycentric product X(i)*X(j) for these (i, j): {314, 4695}, {522, 61186}, {1149, 3596}, {1266, 8}, {1320, 20900}, {1878, 3718}, {2325, 52574}, {3264, 45247}, {3699, 4927}, {3880, 75}, {4358, 52140}, {16594, 4997}, {16610, 312}, {16711, 2321}, {18155, 61176}, {21129, 4582}, {23705, 693}, {23832, 35519}, {52871, 903}
X(62297) = barycentric quotient X(i)/X(j) for these (i, j): {1, 8686}, {8, 1120}, {9, 40400}, {78, 1811}, {312, 36805}, {513, 37627}, {519, 56642}, {522, 23836}, {1149, 56}, {1266, 7}, {1878, 34}, {2325, 52556}, {3699, 6079}, {3880, 1}, {4695, 65}, {4927, 3676}, {5151, 1877}, {5854, 61483}, {6018, 1149}, {6085, 43924}, {16594, 3911}, {16610, 57}, {16711, 1434}, {17109, 1417}, {17460, 1319}, {20972, 1404}, {21041, 40663}, {21129, 30725}, {23205, 603}, {23705, 100}, {23832, 109}, {45247, 106}, {52140, 88}, {52871, 519}, {61176, 4551}, {61186, 664}, {61484, 43081}
X(62297) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 30568, 56078}, {2, 3161, 59779}, {2, 4054, 24199}, {2, 8055, 30568}, {11, 4009, 3717}, {190, 37758, 3911}, {312, 5233, 2321}, {726, 11814, 5121}, {908, 4358, 3912}, {1997, 56084, 57}, {2321, 3452, 5233}, {2321, 5233, 3687}, {3210, 27130, 45204}, {3705, 4903, 4082}, {3952, 26015, 4899}, {4052, 4373, 2}, {4052, 8056, 28655}, {4358, 30566, 908}, {4871, 21093, 24231}, {5205, 17777, 516}, {28526, 50535, 1054}, {30568, 59779, 3161}

X(62298) = INVERSE OF X(2) IN DUAL CONIC OF 1ST BROCARD CIRCLE

X(62298) lies on circumconic {{A, B, C, X(34289), X(60863)}} and on these lines: {2, 99}, {22, 38730}, {23, 23698}, {25, 38733}, {98, 16063}, {114, 5169}, {147, 31099}, {323, 542}, {427, 51872}, {850, 2525}, {858, 2782}, {1370, 5986}, {1648, 57257}, {1916, 34289}, {1994, 41672}, {1995, 6321}, {2794, 5189}, {3291, 62356}, {3580, 5969}, {5025, 58846}, {5026, 14389}, {5094, 13188}, {5133, 61575}, {5477, 11004}, {6033, 31133}, {6036, 7496}, {6054, 31105}, {6103, 14590}, {6636, 38736}, {6721, 7570}, {7391, 10722}, {7485, 38739}, {7492, 38738}, {7493, 13172}, {7495, 33813}, {7519, 10723}, {8288, 36790}, {9464, 32458}, {9830, 40112}, {10754, 37644}, {10992, 52300}, {11284, 38732}, {11646, 15066}, {12188, 31152}, {12355, 47597}, {14645, 37779}, {14651, 46336}, {14928, 59771}, {14981, 31857}, {15092, 37990}, {16042, 38734}, {17702, 36173}, {19577, 39652}, {23699, 57616}, {34383, 51428}, {37454, 61561}, {38224, 40916}, {43957, 61560}, {44420, 57607}, {51383, 53493}

X(62298) = midpoint of X(i) and X(j) for these {i,j}: {5189, 5987}
X(62298) = inverse of X(52036) in orthoptic circle of the Steiner Inellipse
X(62298) = perspector of circumconic {{A, B, C, X(327), X(892)}}
X(62298) = pole of line {2793, 52036} with respect to the orthoptic circle of the Steiner Inellipse
X(62298) = pole of line {10311, 14273} with respect to the polar circle
X(62298) = pole of line {187, 19140} with respect to the Stammler hyperbola
X(62298) = pole of line {690, 1352} with respect to the Steiner circumellipse
X(62298) = pole of line {690, 24206} with respect to the Steiner inellipse
X(62298) = pole of line {2, 1637} with respect to the dual conic of 1st Brocard circle
X(62298) = pole of line {32, 14417} with respect to the dual conic of 1st Droz-Farny circle
X(62298) = pole of line {2, 1637} with respect to the dual conic of 1st Lemoine circle
X(62298) = pole of line {2799, 3734} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62298) = pole of line {23878, 52628} with respect to the dual conic of Stammler hyperbola
X(62298) = pole of line {1648, 3288} with respect to the dual conic of Wallace hyperbola
X(62298) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {5189, 5987, 2794}

X(62299) = INVERSE OF X(2) IN DUAL CONIC OF COSINE CIRCLE

X(62299) lies on these lines: {2, 2418}, {22, 5866}, {23, 47350}, {30, 5971}, {99, 7426}, {125, 51397}, {126, 538}, {141, 59773}, {316, 47314}, {325, 523}, {381, 56435}, {403, 34336}, {524, 9146}, {698, 32525}, {1995, 32815}, {2373, 16386}, {3564, 38940}, {3580, 50567}, {4045, 30749}, {4576, 51438}, {5133, 57518}, {6031, 8703}, {6340, 30744}, {7664, 59634}, {7799, 30786}, {7813, 39602}, {7840, 39356}, {7853, 59768}, {9464, 30739}, {9745, 34511}, {10513, 40996}, {11336, 22253}, {12036, 52231}, {15302, 15491}, {15589, 46336}, {15993, 45672}, {22110, 42008}, {26276, 47313}, {31125, 33228}, {31128, 35297}, {31133, 32827}, {34229, 40916}, {37636, 59535}, {46818, 56430}, {51371, 57425}, {59765, 62301}

X(62299) = midpoint of X(i) and X(j) for these {i,j}: {2, 62309}, {5971, 14360}
X(62299) = reflection of X(i) in X(j) for these {i,j}: {23, 47350}, {5913, 126}, {52231, 12036}, {62311, 2}, {9870, 16317}
X(62299) = isotomic conjugate of X(9084)
X(62299) = complement of X(9870)
X(62299) = anticomplement of X(16317)
X(62299) = perspector of circumconic {{A, B, C, X(76), X(35179)}}
X(62299) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 9084}, {16317, 16317}
X(62299) = pole of line {599, 3124} with respect to the Kiepert hyperbola
X(62299) = pole of line {525, 9146} with respect to the Kiepert parabola
X(62299) = pole of line {1384, 1576} with respect to the Stammler hyperbola
X(62299) = pole of line {69, 1499} with respect to the Steiner circumellipse
X(62299) = pole of line {141, 1499} with respect to the Steiner inellipse
X(62299) = pole of line {110, 1992} with respect to the Wallace hyperbola
X(62299) = pole of line {2, 523} with respect to the dual conic of cosine circle
X(62299) = pole of line {99, 35188} with respect to the dual conic of orthocentroidal circle
X(62299) = pole of line {512, 6791} with respect to the dual conic of Wallace hyperbola
X(62299) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(523), X(9027)}}, {{A, B, C, X(850), X(5485)}}, {{A, B, C, X(858), X(53961)}}, {{A, B, C, X(2418), X(3266)}}, {{A, B, C, X(7426), X(52232)}}, {{A, B, C, X(9084), X(16317)}}, {{A, B, C, X(18019), X(52496)}}
X(62299) = barycentric product X(i)*X(j) for these (i, j): {76, 9027}, {3266, 52152}
X(62299) = barycentric quotient X(i)/X(j) for these (i, j): {2, 9084}, {9027, 6}, {47286, 52453}, {52152, 111}
X(62299) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 52229, 62311}, {2, 62309, 52229}, {2, 9870, 16317}, {126, 538, 5913}, {3266, 62310, 858}, {5971, 14360, 30}, {16317, 52229, 9870}

X(62300) = INVERSE OF X(2) IN DUAL CONIC OF EXCIRCLES-RADICAL CIRCLE

X(62300) lies on these lines: {2, 2415}, {9, 24620}, {57, 1999}, {63, 17349}, {75, 17595}, {86, 3666}, {88, 4358}, {99, 37791}, {145, 3339}, {171, 49472}, {173, 16018}, {190, 16610}, {192, 3306}, {193, 2094}, {239, 514}, {244, 3685}, {269, 51355}, {335, 51567}, {345, 53665}, {516, 5211}, {519, 20098}, {537, 56009}, {545, 51415}, {553, 17778}, {726, 1054}, {740, 18201}, {894, 4850}, {903, 27751}, {908, 4440}, {940, 17393}, {982, 32932}, {1086, 32851}, {1120, 3880}, {1150, 17117}, {1155, 32922}, {1266, 3911}, {1357, 35104}, {1465, 40862}, {2093, 20037}, {2226, 46795}, {2796, 50533}, {3008, 32106}, {3187, 23958}, {3638, 37795}, {3639, 37794}, {3662, 17740}, {3687, 26840}, {3689, 24841}, {3699, 28582}, {3711, 49501}, {3717, 26073}, {3750, 42053}, {3752, 17351}, {3756, 28530}, {3757, 17596}, {3879, 4031}, {3891, 9352}, {3913, 34860}, {3935, 17154}, {3980, 17591}, {3996, 21342}, {4003, 5263}, {4190, 50582}, {4359, 5235}, {4360, 37520}, {4398, 17720}, {4413, 49447}, {4414, 16823}, {4427, 7292}, {4552, 37789}, {4652, 19851}, {4860, 49470}, {5121, 17777}, {5212, 5850}, {5233, 17276}, {5241, 17258}, {5256, 37677}, {5435, 30699}, {5437, 41839}, {5718, 7321}, {5853, 58371}, {6154, 49695}, {7081, 17155}, {7283, 24046}, {7360, 44311}, {7613, 30741}, {8051, 42360}, {9369, 24440}, {10453, 18193}, {11246, 33071}, {11512, 19582}, {14829, 42051}, {14996, 29584}, {16815, 30563}, {16817, 24176}, {16826, 26627}, {16830, 46901}, {17011, 26860}, {17012, 17120}, {17063, 32934}, {17067, 26070}, {17147, 27003}, {17235, 30832}, {17259, 19804}, {17260, 24589}, {17262, 30829}, {17266, 32849}, {17268, 50105}, {17283, 50104}, {17288, 33077}, {17291, 32779}, {17319, 37633}, {17484, 20092}, {17593, 24325}, {18141, 42049}, {19796, 37646}, {20880, 26632}, {24004, 52206}, {24169, 33167}, {24174, 56311}, {24178, 56313}, {24191, 25510}, {24216, 28580}, {24621, 37555}, {25599, 29614}, {25728, 54390}, {26015, 62392}, {27130, 56084}, {30811, 48629}, {30867, 33151}, {32913, 49685}, {32943, 42040}, {32945, 42038}, {33116, 40688}, {33129, 51583}, {35466, 37756}, {36263, 60731}, {37758, 43055}, {42055, 60714}, {49455, 56010}, {59477, 59574}, {62305, 62327}

X(62300) = reflection of X(i) in X(j) for these {i,j}: {17777, 5121}, {5205, 1054}
X(62300) = anticomplement of X(62297)
X(62300) = perspector of circumconic {{A, B, C, X(86), X(53647)}}
X(62300) = X(i)-isoconjugate-of-X(j) for these {i, j}: {101, 23835}
X(62300) = X(i)-Dao conjugate of X(j) for these {i, j}: {1015, 23835}, {62297, 62297}
X(62300) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {1120, 21286}, {8686, 69}, {37627, 150}, {40400, 3436}
X(62300) = pole of line {101, 33628} with respect to the Stammler hyperbola
X(62300) = pole of line {1, 3667} with respect to the Steiner circumellipse
X(62300) = pole of line {1125, 3667} with respect to the Steiner inellipse
X(62300) = pole of line {513, 3699} with respect to the Yff parabola
X(62300) = pole of line {190, 1999} with respect to the Wallace hyperbola
X(62300) = pole of line {2, 514} with respect to the dual conic of excircles-radical circle
X(62300) = pole of line {3669, 24562} with respect to the dual conic of Fuhrmann circle
X(62300) = pole of line {514, 30568} with respect to the dual conic of incircle
X(62300) = pole of line {514, 3663} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62300) = pole of line {2, 514} with respect to the dual conic of Spieker circle
X(62300) = pole of line {25268, 47796} with respect to the dual conic of Feuerbach hyperbola
X(62300) = pole of line {8, 3120} with respect to the dual conic of Yff parabola
X(62300) = pole of line {4024, 21950} with respect to the dual conic of Wallace hyperbola
X(62300) = pole of line {514, 56078} with respect to the dual conic of Suppa-Cucoanes circle
X(62300) = intersection, other than A, B, C, of circumconics {{A, B, C, X(81), X(4498)}}, {{A, B, C, X(514), X(4052)}}, {{A, B, C, X(1019), X(8056)}}, {{A, B, C, X(1021), X(56279)}}, {{A, B, C, X(2415), X(16704)}}, {{A, B, C, X(3986), X(14351)}}, {{A, B, C, X(4373), X(7192)}}, {{A, B, C, X(4560), X(6557)}}, {{A, B, C, X(4786), X(27483)}}, {{A, B, C, X(6650), X(17951)}}, {{A, B, C, X(8055), X(42360)}}, {{A, B, C, X(18206), X(23831)}}
X(62300) = barycentric product X(i)*X(j) for these (i, j): {1921, 45142}, {23831, 693}
X(62300) = barycentric quotient X(i)/X(j) for these (i, j): {513, 23835}, {23831, 100}, {45142, 292}
X(62300) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {57, 3875, 37684}, {75, 17595, 24627}, {726, 1054, 5205}, {1266, 3911, 37759}, {3210, 37684, 3875}, {3218, 17495, 239}, {3752, 32939, 27064}, {3875, 37684, 1999}, {5121, 28526, 17777}, {17596, 24165, 3757}, {24175, 56078, 2}, {30577, 37759, 3911}

X(62301) = INVERSE OF X(2) IN DUAL CONIC OF GALLATLY CIRCLE

X(62301) lies on these lines: {2, 59535}, {69, 35524}, {316, 512}, {698, 13518}, {3231, 9146}, {7998, 54189}, {9998, 48439}, {11673, 25332}, {15107, 56442}, {30736, 46303}, {59765, 62299}

X(62302) = INVERSE OF X(2) IN DUAL CONIC OF TANGENTIAL CIRCLE

X(62302) lies on these lines: {2, 6}, {403, 12358}, {525, 55228}, {858, 13416}, {1503, 37978}, {9545, 26879}, {11591, 13160}, {22467, 44158}, {33533, 52069}, {34138, 52512}, {35296, 54075}, {38534, 44452}

X(62303) = INVERSE OF X(2) IN DUAL CONIC OF BROCARD INELLIPSE

X(62303) lies on these lines: {2, 2998}, {316, 512}, {670, 3231}, {689, 1691}, {698, 4609}, {1916, 35528}, {1978, 21830}, {2211, 6331}, {3124, 14603}, {3981, 40362}, {9488, 41259}, {16890, 18901}, {18024, 51404}, {20023, 43448}, {20081, 39468}, {25332, 49122}, {30736, 34087}

X(62304) = INVERSE OF X(2) IN DUAL CONIC OF DELONGCHAMPS ELLIPSE

X(62304) lies on these lines: {2, 18040}, {141, 321}, {312, 31017}, {495, 52353}, {514, 661}, {668, 37680}, {899, 61174}, {3218, 29537}, {3264, 39994}, {3963, 4359}, {3995, 18136}, {4033, 17495}, {4671, 18144}, {4723, 24222}, {4850, 17786}, {14996, 60861}, {16610, 59519}, {17147, 18739}, {18133, 31035}, {18143, 31025}, {20432, 31647}, {20887, 60578}, {27065, 29509}, {27793, 44417}, {33146, 59761}, {39995, 39997}, {41242, 44139}, {60097, 60244}

X(62305) = INVERSE OF X(2) IN DUAL CONIC OF EXCENTRAL-HEXYL ELLIPSE

X(62305) lies on these lines: {2, 17861}, {75, 5235}, {80, 758}, {92, 1172}, {149, 44661}, {297, 525}, {312, 20896}, {313, 321}, {536, 20887}, {740, 1109}, {1733, 4427}, {1959, 17174}, {1962, 17725}, {2292, 37716}, {2294, 31019}, {3006, 23690}, {3218, 8680}, {3617, 4647}, {3666, 20886}, {3743, 42005}, {3760, 21421}, {3936, 16732}, {3944, 4137}, {3948, 27709}, {3977, 24209}, {3995, 6358}, {4016, 33151}, {4080, 60091}, {4358, 17895}, {4671, 18697}, {4858, 17495}, {4980, 28297}, {5146, 15906}, {5554, 17164}, {5905, 21270}, {8287, 51465}, {10528, 23555}, {11330, 32118}, {14206, 16704}, {14213, 17147}, {17184, 26176}, {17257, 28605}, {17778, 30690}, {17863, 29833}, {17871, 32929}, {17874, 27804}, {18151, 37680}, {18359, 37759}, {19789, 27509}, {20919, 32911}, {20944, 30940}, {21020, 33165}, {22010, 56326}, {23689, 26230}, {26222, 26223}, {26227, 49512}, {31053, 53036}, {33131, 40973}, {33935, 40089}, {40149, 43675}, {41809, 42708}, {62300, 62327}

X(62305) = perspector of circumconic {{A, B, C, X(264), X(27808)}}
X(62305) = X(i)-isoconjugate-of-X(j) for these {i, j}: {48, 39439}, {34079, 39166}
X(62305) = X(i)-Dao conjugate of X(j) for these {i, j}: {1249, 39439}, {31845, 6}, {33129, 37783}, {35069, 39166}
X(62305) = X(i)-Ceva conjugate of X(j) for these {i, j}: {14616, 38938}, {36804, 1577}
X(62305) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {759, 4329}, {1411, 2897}, {1474, 6224}, {2161, 52364}, {2341, 52366}, {6187, 3151}, {24624, 1370}, {34079, 20}, {36069, 6563}, {57736, 6527}
X(62305) = pole of line {6, 43925} with respect to the polar circle
X(62305) = pole of line {321, 338} with respect to the Kiepert hyperbola
X(62305) = pole of line {4, 6003} with respect to the Steiner circumellipse
X(62305) = pole of line {5, 6003} with respect to the Steiner inellipse
X(62305) = pole of line {593, 4558} with respect to the Wallace hyperbola
X(62305) = pole of line {2, 1577} with respect to the dual conic of 2nd Brocard circle
X(62305) = pole of line {2, 1577} with respect to the dual conic of circumcircle
X(62305) = pole of line {2, 1577} with respect to the dual conic of 2nd Droz-Farny circle
X(62305) = pole of line {1577, 17776} with respect to the dual conic of incircle
X(62305) = pole of line {394, 7254} with respect to the dual conic of polar circle
X(62305) = pole of line {4560, 9965} with respect to the dual conic of Spieker circle
X(62305) = pole of line {2, 1577} with respect to the dual conic of Stammler circle
X(62305) = pole of line {2, 525} with respect to the dual conic of excentral-hexyl ellipse
X(62305) = pole of line {525, 1086} with respect to the dual conic of Stammler hyperbola
X(62305) = pole of line {6734, 24176} with respect to the dual conic of Yff parabola
X(62305) = pole of line {647, 1015} with respect to the dual conic of Wallace hyperbola
X(62305) = pole of line {1577, 33113} with respect to the dual conic of Suppa-Cucoanes circle
X(62305) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(76), X(38938)}}, {{A, B, C, X(297), X(13589)}}, {{A, B, C, X(313), X(46107)}}, {{A, B, C, X(321), X(5146)}}, {{A, B, C, X(525), X(39700)}}, {{A, B, C, X(594), X(2501)}}, {{A, B, C, X(850), X(2997)}}, {{A, B, C, X(1172), X(1731)}}, {{A, B, C, X(4080), X(11604)}}, {{A, B, C, X(4391), X(43675)}}, {{A, B, C, X(5485), X(56600)}}, {{A, B, C, X(10015), X(15906)}}, {{A, B, C, X(14618), X(28654)}}, {{A, B, C, X(30117), X(56810)}}, {{A, B, C, X(30713), X(46110)}}, {{A, B, C, X(40571), X(56559)}}
X(62305) = barycentric product X(i)*X(j) for these (i, j): {321, 33129}, {1731, 349}, {4033, 47680}, {13589, 850}, {14616, 31845}, {15906, 57984}, {20336, 5146}, {30117, 313}, {35550, 38938}
X(62305) = barycentric quotient X(i)/X(j) for these (i, j): {4, 39439}, {758, 39166}, {1731, 284}, {5146, 28}, {5497, 5127}, {13589, 110}, {15906, 859}, {30117, 58}, {31845, 758}, {33129, 81}, {38938, 759}, {47680, 1019}, {56600, 53903}
X(62305) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {321, 53510, 26580}

X(62306) = INVERSE OF X(2) IN DUAL CONIC OF FEUERBACH HYPERBOLA

X(62306) lies on these lines: {1, 522}, {2, 650}, {9, 514}, {86, 4560}, {190, 644}, {192, 17496}, {344, 4391}, {347, 3669}, {348, 24002}, {513, 5698}, {885, 1001}, {905, 4000}, {968, 23811}, {2550, 3126}, {3309, 43161}, {4130, 56937}, {4382, 46396}, {4423, 42454}, {4978, 56320}, {6930, 8760}, {11124, 59572}, {17077, 47796}, {20075, 30613}, {21120, 26671}, {21297, 46397}, {23880, 31325}, {30719, 34488}, {31605, 34059}, {32008, 56322}, {35167, 53210}, {38025, 45322}, {38060, 52873}, {44550, 50101}, {54414, 57049}

X(62306) = midpoint of X(i) and X(j) for these {i,j}: {60476, 60477}
X(62306) = reflection of X(i) in X(j) for these {i,j}: {2550, 3126}, {885, 1001}
X(62306) = perspector of circumconic {{A, B, C, X(2481), X(4998)}}
X(62306) = X(i)-complementary conjugate of X(j) for these {i, j}: {2149, 52873}
X(62306) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {840, 150}, {32739, 39363}, {37131, 21293}, {59021, 20347}
X(62306) = pole of line {60448, 60453} with respect to the anticomplementary circle
X(62306) = pole of line {1785, 5089} with respect to the polar circle
X(62306) = pole of line {75, 53335} with respect to the Kiepert parabola
X(62306) = pole of line {100, 518} with respect to the Steiner circumellipse
X(62306) = pole of line {518, 3035} with respect to the Steiner inellipse
X(62306) = pole of line {8, 3762} with respect to the Yff parabola
X(62306) = pole of line {190, 37787} with respect to the dual conic of incircle
X(62306) = pole of line {190, 25257} with respect to the dual conic of nine-point circle
X(62306) = pole of line {25083, 26932} with respect to the dual conic of polar circle
X(62306) = pole of line {37788, 52043} with respect to the dual conic of DeLongchamps ellipse
X(62306) = pole of line {2, 918} with respect to the dual conic of Feuerbach hyperbola
X(62306) = pole of line {1447, 6516} with respect to the dual conic of Orthic inconic
X(62306) = pole of line {24290, 55195} with respect to the dual conic of Wallace hyperbola
X(62306) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(36819)}}, {{A, B, C, X(190), X(43728)}}, {{A, B, C, X(522), X(2397)}}, {{A, B, C, X(644), X(28132)}}, {{A, B, C, X(650), X(2284)}}, {{A, B, C, X(664), X(2401)}}, {{A, B, C, X(693), X(883)}}, {{A, B, C, X(918), X(40166)}}, {{A, B, C, X(1332), X(37628)}}, {{A, B, C, X(4552), X(60479)}}, {{A, B, C, X(4559), X(55261)}}, {{A, B, C, X(32008), X(36944)}}, {{A, B, C, X(35167), X(46792)}}
X(62306) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {693, 26641, 28834}, {60476, 60477, 918}

X(62307) = INVERSE OF X(2) IN DUAL CONIC OF JERABEK HYPERBOLA

X(62307) lies on these lines: {2, 647}, {3, 523}, {4, 33752}, {5, 47256}, {6, 525}, {83, 2394}, {95, 14977}, {99, 112}, {182, 879}, {381, 47002}, {512, 46264}, {542, 35909}, {669, 15652}, {690, 9970}, {804, 6033}, {842, 2697}, {1352, 41167}, {1995, 47258}, {2138, 57071}, {2411, 60013}, {2433, 37648}, {2485, 3767}, {2489, 41361}, {2492, 41079}, {2793, 22664}, {3267, 7630}, {3906, 31958}, {4232, 47442}, {5169, 57127}, {6389, 52584}, {7493, 47004}, {8552, 35522}, {9517, 32233}, {14618, 17907}, {14998, 54395}, {22687, 23870}, {22689, 23871}, {22716, 54029}, {22718, 54028}, {23105, 37742}, {25406, 33754}, {30209, 49669}, {30739, 47248}, {32216, 46983}, {37645, 52743}, {38064, 45321}, {40691, 52600}, {40697, 52613}, {44210, 47175}, {44212, 47261}, {46142, 53200}, {46245, 54124}, {46336, 47250}, {47001, 47597}, {51798, 59775}

X(62307) = midpoint of X(i) and X(j) for these {i,j}: {14273, 41077}, {50944, 50945}
X(62307) = reflection of X(i) in X(j) for these {i,j}: {1352, 41167}, {23105, 37742}, {3267, 7630}, {35522, 8552}, {4, 33752}, {41079, 2492}, {850, 7624}, {879, 182}
X(62307) = anticomplement of X(18312)
X(62307) = perspector of circumconic {{A, B, C, X(290), X(2373)}}
X(62307) = X(i)-Dao conjugate of X(j) for these {i, j}: {18312, 18312}, {36189, 2493}
X(62307) = X(i)-Ceva conjugate of X(j) for these {i, j}: {5649, 2}
X(62307) = X(i)-complementary conjugate of X(j) for these {i, j}: {60590, 21253}
X(62307) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {842, 21294}, {5649, 6327}, {6035, 21275}
X(62307) = pole of line {39842, 46450} with respect to the anticomplementary circle
X(62307) = pole of line {30, 53273} with respect to the circumcircle
X(62307) = pole of line {316, 3153} with respect to the DeLongchamps circle
X(62307) = pole of line {114, 2072} with respect to the 1st Droz-Farny circle
X(62307) = pole of line {6033, 18403} with respect to the circumcircle of the Johnson triangle
X(62307) = pole of line {858, 51389} with respect to the orthoptic circle of the Steiner Inellipse
X(62307) = pole of line {115, 232} with respect to the polar circle
X(62307) = pole of line {69, 526} with respect to the Kiepert parabola
X(62307) = pole of line {2072, 30737} with respect to the MacBeath inconic
X(62307) = pole of line {647, 14966} with respect to the Stammler hyperbola
X(62307) = pole of line {23, 110} with respect to the Steiner circumellipse
X(62307) = pole of line {468, 511} with respect to the Steiner inellipse
X(62307) = pole of line {1330, 53336} with respect to the Yff parabola
X(62307) = pole of line {525, 2421} with respect to the Wallace hyperbola
X(62307) = pole of line {36212, 62375} with respect to the dual conic of anticomplementary circle
X(62307) = pole of line {51481, 62376} with respect to the dual conic of circumcircle
X(62307) = pole of line {36212, 62377} with respect to the dual conic of 1st Droz-Farny circle
X(62307) = pole of line {51481, 62378} with respect to the dual conic of 2nd Droz-Farny circle
X(62307) = pole of line {340, 3978} with respect to the dual conic of Gallatly circle
X(62307) = pole of line {36212, 62380} with respect to the dual conic of circumcircle of the Johnson triangle
X(62307) = pole of line {524, 14570} with respect to the dual conic of nine-point circle
X(62307) = pole of line {35520, 62381} with respect to the dual conic of orthocentroidal circle
X(62307) = pole of line {538, 3580} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62307) = pole of line {15526, 36212} with respect to the dual conic of polar circle
X(62307) = pole of line {340, 3978} with respect to the dual conic of Brocard inellipse
X(62307) = pole of line {2, 1637} with respect to the dual conic of Jerabek hyperbola
X(62307) = pole of line {99, 186} with respect to the dual conic of Orthic inconic
X(62307) = pole of line {3569, 32312} with respect to the dual conic of Wallace hyperbola
X(62307) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(15462)}}, {{A, B, C, X(6), X(52672)}}, {{A, B, C, X(83), X(15454)}}, {{A, B, C, X(95), X(52145)}}, {{A, B, C, X(99), X(15421)}}, {{A, B, C, X(112), X(2395)}}, {{A, B, C, X(523), X(16237)}}, {{A, B, C, X(647), X(14966)}}, {{A, B, C, X(648), X(15328)}}, {{A, B, C, X(850), X(877)}}, {{A, B, C, X(2394), X(41676)}}, {{A, B, C, X(2407), X(4580)}}, {{A, B, C, X(2697), X(46786)}}, {{A, B, C, X(4235), X(15412)}}, {{A, B, C, X(4558), X(53173)}}, {{A, B, C, X(5661), X(40799)}}, {{A, B, C, X(14570), X(14977)}}, {{A, B, C, X(14590), X(15470)}}, {{A, B, C, X(16083), X(46142)}}, {{A, B, C, X(39986), X(60013)}}, {{A, B, C, X(44155), X(54124)}}
X(62307) = barycentric product X(i)*X(j) for these (i, j): {3268, 53768}, {15462, 850}, {36189, 99}, {41253, 525}
X(62307) = barycentric quotient X(i)/X(j) for these (i, j): {15462, 110}, {36189, 523}, {41253, 648}, {53768, 476}, {60513, 60502}
X(62307) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2407, 4235, 14966}, {7624, 23878, 850}, {14273, 41077, 2799}

X(62308) = INVERSE OF X(2) IN DUAL CONIC OF JOHNSON CIRCUMCONIC

X(62308) lies on these lines: {2, 216}, {20, 1216}, {30, 44715}, {323, 401}, {511, 44003}, {852, 35360}, {2071, 47084}, {2972, 32428}, {3153, 14731}, {3580, 46788}, {5059, 57451}, {5189, 34186}, {7998, 42329}, {11064, 14570}, {13409, 30506}, {14918, 15526}, {15066, 20477}, {17484, 44354}, {37779, 39352}, {40884, 41676}, {41678, 51358}, {41724, 44004}, {44252, 46818}, {54114, 56266}

X(62309) = INVERSE OF X(2) IN DUAL CONIC OF LEMOINE INELLIPSE

X(62309) lies on these lines: {2, 2418}, {23, 2936}, {99, 51541}, {523, 7840}, {524, 14360}, {538, 10717}, {543, 5971}, {599, 9464}, {671, 3266}, {698, 9169}, {1383, 11164}, {7620, 56435}, {8859, 31128}, {9146, 62295}, {9872, 20385}, {11054, 11580}, {11160, 16063}, {14588, 22329}, {14762, 39389}, {22110, 31644}, {30745, 52232}, {37909, 47350}, {39785, 42008}, {44555, 50639}

X(62310) = INVERSE OF X(2) IN DUAL CONIC OF ORTHIC INCONIC

X(62310) lies on these lines: {2, 1975}, {5, 11059}, {23, 5866}, {69, 55977}, {76, 30739}, {99, 468}, {125, 6393}, {126, 3291}, {140, 11056}, {183, 46336}, {230, 14588}, {305, 1368}, {315, 31152}, {316, 46517}, {325, 523}, {427, 7752}, {543, 40350}, {671, 44182}, {732, 14467}, {1007, 52284}, {1078, 43957}, {1312, 46813}, {1313, 46810}, {1503, 56430}, {1799, 10691}, {1995, 32819}, {2374, 5203}, {2396, 57607}, {3055, 59555}, {3564, 4563}, {3580, 4576}, {3785, 7386}, {3926, 16051}, {4176, 23291}, {4558, 10717}, {4590, 16315}, {5025, 30793}, {5094, 7763}, {5159, 6390}, {5189, 5971}, {5939, 54092}, {6331, 6530}, {6656, 30749}, {6677, 16276}, {7667, 33651}, {7750, 16063}, {7764, 15820}, {7767, 10300}, {7769, 37454}, {7773, 31099}, {7782, 44210}, {7799, 47097}, {7809, 47311}, {7836, 30777}, {8681, 52881}, {8788, 34573}, {9133, 41133}, {9146, 41724}, {9182, 47242}, {9723, 37688}, {10418, 47287}, {10607, 17008}, {11064, 12215}, {11185, 11284}, {11336, 40126}, {11634, 56685}, {16316, 33799}, {18906, 37648}, {20080, 39127}, {21243, 59535}, {26276, 37900}, {30769, 32831}, {30771, 34254}, {30775, 32837}, {31644, 44377}, {31998, 47155}, {32216, 32833}, {32815, 40132}, {34336, 37981}, {41586, 51438}, {47296, 59548}

X(62310) = isotomic conjugate of X(2374)
X(62310) = perspector of circumconic {{A, B, C, X(76), X(35136)}}
X(62310) = X(i)-isoconjugate-of-X(j) for these {i, j}: {31, 2374}, {1973, 41909}
X(62310) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 2374}, {126, 25}, {3291, 468}, {6337, 41909}, {6390, 524}, {34158, 32740}, {47286, 38294}, {52881, 34161}, {55271, 5139}
X(62310) = X(i)-Ceva conjugate of X(j) for these {i, j}: {99, 55271}, {671, 69}
X(62310) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {56007, 8}
X(62310) = X(i)-cross conjugate of X(j) for these {i, j}: {8681, 47286}
X(62310) = pole of line {22, 55271} with respect to the circumcircle
X(62310) = pole of line {2, 57071} with respect to the DeLongchamps circle
X(62310) = pole of line {2, 56739} with respect to the nine-point circle
X(62310) = pole of line {25, 57071} with respect to the polar circle
X(62310) = pole of line {69, 3124} with respect to the Kiepert hyperbola
X(62310) = pole of line {525, 4563} with respect to the Kiepert parabola
X(62310) = pole of line {2, 57071} with respect to the MacBeath inconic
X(62310) = pole of line {5254, 58882} with respect to the Orthic inconic
X(62310) = pole of line {1576, 3053} with respect to the Stammler hyperbola
X(62310) = pole of line {69, 3566} with respect to the Steiner circumellipse
X(62310) = pole of line {141, 3566} with respect to the Steiner inellipse
X(62310) = pole of line {1995, 55271} with respect to the Yff hyperbola
X(62310) = pole of line {110, 193} with respect to the Wallace hyperbola
X(62310) = pole of line {2501, 3978} with respect to the dual conic of 2nd Brocard circle
X(62310) = pole of line {76, 2501} with respect to the dual conic of circumcircle
X(62310) = pole of line {2, 2501} with respect to the dual conic of cosine circle
X(62310) = pole of line {5305, 14341} with respect to the dual conic of DeLongchamps circle
X(62310) = pole of line {1975, 6563} with respect to the dual conic of nine-point circle
X(62310) = pole of line {3, 669} with respect to the dual conic of polar circle
X(62310) = pole of line {76, 2501} with respect to the dual conic of Brocard inellipse
X(62310) = pole of line {6563, 55271} with respect to the dual conic of Lemoine inellipse
X(62310) = pole of line {2, 523} with respect to the dual conic of Orthic inconic
X(62310) = pole of line {523, 2971} with respect to the dual conic of Stammler hyperbola
X(62310) = pole of line {512, 6388} with respect to the dual conic of Wallace hyperbola
X(62310) = intersection, other than A, B, C, of circumconics {{A, B, C, X(69), X(44182)}}, {{A, B, C, X(126), X(30786)}}, {{A, B, C, X(305), X(523)}}, {{A, B, C, X(468), X(55271)}}, {{A, B, C, X(525), X(56740)}}, {{A, B, C, X(693), X(16756)}}, {{A, B, C, X(850), X(2996)}}, {{A, B, C, X(858), X(11634)}}, {{A, B, C, X(2374), X(57087)}}, {{A, B, C, X(2514), X(45201)}}, {{A, B, C, X(3005), X(3933)}}, {{A, B, C, X(3260), X(53367)}}, {{A, B, C, X(3265), X(60839)}}, {{A, B, C, X(3266), X(9133)}}, {{A, B, C, X(3267), X(6340)}}, {{A, B, C, X(6530), X(57988)}}, {{A, B, C, X(30735), X(36874)}}
X(62310) = barycentric product X(i)*X(j) for these (i, j): {76, 8681}, {126, 30786}, {305, 3291}, {525, 53367}, {4563, 9134}, {11634, 3267}, {16756, 20336}, {18023, 47412}, {36874, 6393}, {47286, 69}, {52881, 671}, {56685, 62382}
X(62310) = barycentric quotient X(i)/X(j) for these (i, j): {2, 2374}, {69, 41909}, {126, 468}, {895, 15387}, {3291, 25}, {5140, 2207}, {6390, 34161}, {6393, 36892}, {8681, 6}, {9134, 2501}, {11634, 112}, {14263, 8753}, {16756, 28}, {30786, 44182}, {36874, 6531}, {47286, 4}, {47412, 187}, {52881, 524}, {53367, 648}, {53782, 14908}, {55271, 14273}, {56685, 60133}, {57087, 57071}, {62382, 56579}
X(62310) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {5, 59766, 11059}, {99, 37803, 468}, {305, 1368, 45201}, {858, 3266, 325}, {858, 62299, 3266}, {3580, 4576, 51374}, {5159, 6390, 37804}, {6340, 19583, 2}, {30749, 59768, 6656}, {30786, 37804, 5159}

X(62311) = INVERSE OF X(2) IN DUAL CONIC OF ANTI-ARTZT CIRCLE

X(62311) lies on these lines: {2, 2418}, {30, 11258}, {111, 524}, {351, 523}, {538, 9172}, {543, 5913}, {597, 9465}, {671, 858}, {1992, 1995}, {2482, 3291}, {3124, 41146}, {5512, 38951}, {5969, 9127}, {6032, 20112}, {6791, 62293}, {7495, 8860}, {7615, 9745}, {7618, 20481}, {7665, 8859}, {7840, 54104}, {9146, 37745}, {9829, 13468}, {11054, 52141}, {11580, 27088}, {13608, 14262}, {17968, 35133}, {18775, 32236}, {23055, 47596}, {24855, 42008}, {26255, 53351}, {31372, 44367}, {37907, 47350}, {45294, 53374}, {47313, 51224}

X(62311) = midpoint of X(i) and X(j) for these {i,j}: {2, 9870}, {9872, 34898}
X(62311) = reflection of X(i) in X(j) for these {i,j}: {2, 16317}, {38951, 5512}, {62293, 6791}, {62299, 2}, {858, 52232}, {9146, 37745}
X(62311) = complement of X(62309)
X(62311) = perspector of circumconic {{A, B, C, X(598), X(35179)}}
X(62311) = X(i)-Ceva conjugate of X(j) for these {i, j}: {11054, 524}, {52141, 2}
X(62311) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {923, 11160}, {2408, 21294}, {2444, 21221}, {36142, 1499}, {36277, 14360}, {52141, 6327}
X(62311) = pole of line {599, 8288} with respect to the Kiepert hyperbola
X(62311) = pole of line {1296, 1499} with respect to the Kiepert parabola
X(62311) = pole of line {1384, 9145} with respect to the Stammler hyperbola
X(62311) = pole of line {1499, 1992} with respect to the Steiner circumellipse
X(62311) = pole of line {597, 1499} with respect to the Steiner inellipse
X(62311) = pole of line {1992, 9146} with respect to the Wallace hyperbola
X(62311) = pole of line {3906, 6791} with respect to the dual conic of Wallace hyperbola
X(62311) = pole of line {2, 523} with respect to the dual conic of anti-Artzt circle
X(62311) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(111), X(13492)}}, {{A, B, C, X(524), X(39157)}}, {{A, B, C, X(671), X(34166)}}, {{A, B, C, X(2418), X(6082)}}, {{A, B, C, X(4232), X(11148)}}, {{A, B, C, X(5485), X(8599)}}, {{A, B, C, X(9084), X(52229)}}, {{A, B, C, X(11167), X(59927)}}, {{A, B, C, X(21448), X(46001)}}, {{A, B, C, X(23287), X(34898)}}
X(62311) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 52229, 62299}, {2, 9870, 52229}, {9872, 34898, 524}, {11165, 21448, 2}

X(62312) = INVERSE OF X(1) IN 2ND BROCARD CIRCLE

X(62312) lies on these lines: {1, 3}, {513, 3795}, {519, 38521}, {535, 7833}, {874, 4485}, {3099, 51928}, {3814, 5025}, {4436, 13174}, {5080, 6655}, {6681, 7907}, {7841, 31160}, {7887, 31263}, {9037, 44453}, {20067, 33260}, {24259, 52908}, {59234, 59238}

X(62313) = INVERSE OF X(1) IN COSINE CIRCLE

X(62313) lies on these lines: {1, 6}, {193, 41785}, {294, 24231}, {572, 51622}, {1438, 15382}, {2991, 3912}, {3309, 20980}, {5272, 57656}, {5540, 34381}, {18193, 30706}, {20455, 40910}

X(62314) = INVERSE OF X(1) IN DELONGCHAMPS CIRCLE

X(62314) lies on these lines: {1, 7}, {2, 242}, {3, 17086}, {8, 51840}, {21, 31917}, {22, 51621}, {150, 29016}, {511, 17950}, {514, 16086}, {653, 44704}, {664, 1503}, {927, 1297}, {1214, 37443}, {1305, 2700}, {1308, 39435}, {1330, 21078}, {1370, 6360}, {1441, 7379}, {1655, 18666}, {1897, 46552}, {1959, 4645}, {3151, 31308}, {3177, 26939}, {3210, 26929}, {3732, 51366}, {3784, 26840}, {5134, 24051}, {5921, 53997}, {7396, 29641}, {13727, 41007}, {14853, 60856}, {17927, 37165}, {24701, 30273}, {26050, 52082}, {27542, 45917}, {39444, 53928}

X(62314) = reflection of X(i) in X(j) for these {i,j}: {3732, 51366}
X(62314) = inverse of X(1) in DeLongchamps circle
X(62314) = anticomplement of X(242)
X(62314) = X(i)-Dao conjugate of X(j) for these {i, j}: {242, 242}
X(62314) = X(i)-Ceva conjugate of X(j) for these {i, j}: {337, 2}
X(62314) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {3, 17794}, {48, 33888}, {63, 20345}, {69, 20554}, {184, 30667}, {228, 39367}, {291, 4}, {292, 5905}, {295, 8}, {334, 11442}, {335, 21270}, {337, 6327}, {660, 20293}, {741, 3868}, {813, 4391}, {1808, 3869}, {1911, 193}, {1922, 21216}, {2196, 2}, {2311, 92}, {4584, 850}, {4589, 21300}, {7077, 5942}, {7116, 30668}, {17970, 21226}, {18268, 3187}, {18827, 20242}, {22383, 39362}, {34067, 25259}, {36214, 4388}, {37128, 17220}, {51858, 30694}, {57738, 17135}, {57987, 17138}
X(62314) = pole of line {1, 514} with respect to the DeLongchamps circle
X(62314) = pole of line {1842, 48062} with respect to the polar circle
X(62314) = pole of line {306, 4025} with respect to the Steiner circumellipse
X(62314) = pole of line {7658, 20106} with respect to the Steiner inellipse
X(62314) = pole of line {525, 3732} with respect to the Yff parabola
X(62314) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1297), X(1458)}}, {{A, B, C, X(2700), X(4306)}}, {{A, B, C, X(38459), X(39435)}}

X(62315) = INVERSE OF X(1) IN 2ND DROZ-FARNY CIRCLE

X(62315) lies on these lines: {1, 3}, {535, 52069}, {1737, 2817}, {1872, 10483}, {1878, 37197}, {4351, 37305}, {9037, 44439}, {16072, 31160}, {44425, 44662}, {44438, 52851}, {44452, 61521}

X(62316) = INVERSE OF X(1) IN INCENTRAL CIRCLE

X(62316) lies on circumconic {{A, B, C, X(501), X(52639)}} and on these lines: {1, 399}, {11, 10208}, {35, 110}, {36, 5663}, {56, 12308}, {74, 59319}, {80, 502}, {146, 10483}, {498, 20125}, {499, 12317}, {611, 56568}, {1469, 52098}, {1479, 14683}, {1511, 59325}, {1986, 54428}, {2948, 5697}, {3024, 3746}, {3299, 12375}, {3301, 12376}, {3336, 11670}, {3448, 7741}, {3583, 32423}, {3737, 8043}, {4324, 34153}, {5010, 32609}, {5280, 46301}, {5299, 14901}, {5353, 10658}, {5357, 10657}, {5563, 10091}, {5655, 12903}, {7280, 10620}, {9638, 12281}, {9904, 37572}, {10535, 10628}, {11399, 12165}, {11441, 15096}, {11720, 24926}, {12374, 23236}, {12896, 24981}, {12902, 18514}, {13146, 22136}, {13392, 52793}, {13605, 37735}, {14874, 22461}, {15063, 18968}, {18513, 38789}, {19140, 32286}, {21842, 33535}, {35193, 35204}, {37718, 45923}

X(62316) = reflection of X(i) in X(j) for these {i,j}: {54078, 110}
X(62316) = inverse of X(1) in incentral circle
X(62316) = pole of line {1, 8674} with respect to the incentral circle
X(62316) = pole of line {8674, 17637} with respect to the Suppa-Cucoanes circle
X(62316) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {110, 7727, 35}, {399, 7343, 6126}, {10091, 14094, 19470}, {10091, 19470, 5563}

X(62317) = INVERSE OF X(1) IN ORTHOCENTROIDAL CIRCLE

X(62317) lies on these lines: {1, 381}, {8, 36909}, {1532, 11809}, {1995, 51623}, {4926, 15079}, {5697, 13756}, {5903, 35015}, {7741, 51889}, {10774, 11717}, {18340, 21842}, {18514, 33649}, {23869, 37720}

X(62318) = INVERSE OF X(1) IN STAMMLER CIRCLE

X(62318) lies on these lines: {1, 3}, {8, 37251}, {30, 149}, {100, 50910}, {104, 28174}, {140, 45977}, {381, 956}, {399, 38586}, {411, 1483}, {519, 18524}, {529, 10742}, {535, 3830}, {758, 22560}, {952, 62359}, {953, 8701}, {958, 11813}, {962, 32153}, {993, 3656}, {1006, 10283}, {1376, 34718}, {1457, 23071}, {1464, 37496}, {1484, 6840}, {1532, 38755}, {1621, 28443}, {1878, 18535}, {2802, 62395}, {2975, 3648}, {3149, 12645}, {3526, 61521}, {3534, 34611}, {3623, 6876}, {3813, 33961}, {3814, 5055}, {3851, 10894}, {3881, 33858}, {3884, 16139}, {3897, 37292}, {4413, 38066}, {4973, 12515}, {5057, 37234}, {5127, 38576}, {5251, 51709}, {5253, 61524}, {5258, 9955}, {5260, 61272}, {5274, 6928}, {5284, 5901}, {5288, 18480}, {5330, 37308}, {5603, 7489}, {5690, 45976}, {5762, 53055}, {5790, 22753}, {5841, 10738}, {5842, 48694}, {5844, 6905}, {5855, 48713}, {5899, 54081}, {6681, 15694}, {6763, 13465}, {6863, 8164}, {6909, 28212}, {6911, 59503}, {6915, 61510}, {6924, 12245}, {6946, 38112}, {6971, 10589}, {6980, 10590}, {6985, 18526}, {6986, 51700}, {8168, 11499}, {8666, 12699}, {9037, 44456}, {10074, 15326}, {11194, 18515}, {12114, 48661}, {12513, 18525}, {12747, 54154}, {13391, 38568}, {15170, 28460}, {15703, 31263}, {16117, 34773}, {18491, 50798}, {18990, 47032}, {19540, 33142}, {19709, 31160}, {19914, 60782}, {22583, 35455}, {22936, 26088}, {24390, 37230}, {28178, 51529}, {28186, 38669}, {28224, 36002}, {37510, 54333}, {38954, 45926}, {52851, 62023}

X(62318) = reflection of X(i) in X(j) for these {i,j}: {12331, 6905}, {12515, 4973}, {12702, 484}, {12747, 54154}, {12773, 54391}, {3, 22765}, {35000, 36}, {35457, 1}, {35459, 1319}, {35460, 1155}, {40, 41347}, {5180, 22791}, {5537, 23961}, {5538, 1385}, {6840, 1484}
X(62318) = inverse of X(13624) in circumcircle
X(62318) = inverse of X(942) in mixtilinear incircles radical circle
X(62318) = inverse of X(1) in Stammler circle
X(62318) = X(i)-vertex conjugate of X(j) for these {i, j}: {513, 13624}
X(62318) = pole of line {513, 13624} with respect to the circumcircle
X(62318) = pole of line {513, 942} with respect to the mixtilinear incircles radical circle
X(62318) = pole of line {1, 513} with respect to the Stammler circle
X(62318) = pole of line {53280, 60609} with respect to the Kiepert parabola
X(62318) = pole of line {21, 12773} with respect to the Stammler hyperbola
X(62318) = intersection, other than A, B, C, of circumconics {{A, B, C, X(59), X(13624)}}, {{A, B, C, X(102), X(5131)}}, {{A, B, C, X(942), X(1318)}}, {{A, B, C, X(945), X(3336)}}, {{A, B, C, X(953), X(32636)}}, {{A, B, C, X(1320), X(35457)}}, {{A, B, C, X(1391), X(2646)}}, {{A, B, C, X(2716), X(3746)}}, {{A, B, C, X(2745), X(31663)}}, {{A, B, C, X(29374), X(37563)}}
X(62318) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 517, 35457}, {3, 12001, 37624}, {30, 54391, 12773}, {36, 517, 35000}, {484, 517, 12702}, {517, 1155, 35460}, {517, 1319, 35459}, {517, 1385, 5538}, {517, 23961, 5537}, {517, 41347, 40}, {1381, 1382, 13624}, {1482, 12702, 5697}, {2975, 22791, 13743}, {5844, 6905, 12331}, {7688, 37602, 1385}, {7982, 26286, 11849}, {8666, 12699, 26321}, {10222, 11012, 37621}, {10680, 22770, 3}, {10680, 35252, 26437}, {22765, 35000, 36}, {22765, 35457, 41345}

X(62319) = INVERSE OF X(1) IN BROCARD INELLIPSE

X(62319) lies on these lines: {1, 39}, {194, 32020}, {330, 668}, {667, 6373}, {1107, 40533}, {1475, 20457}, {1909, 27076}, {2241, 8671}, {5283, 27195}, {6377, 24625}, {9263, 53675}, {9359, 40610}, {16589, 40479}, {16604, 17793}, {23524, 23643}

X(62320) = INVERSE OF X(1) IN EXCENTRAL-HEXYL ELLIPSE

X(62320) lies on circumconic {{A, B, C, X(7373), X(54972)}} and on these lines: {1, 3}, {20, 3216}, {30, 5400}, {140, 52524}, {386, 3522}, {500, 33923}, {515, 31855}, {516, 49997}, {529, 61222}, {548, 22392}, {550, 37732}, {580, 37403}, {581, 3528}, {899, 28164}, {978, 50702}, {991, 10304}, {995, 9778}, {1149, 28228}, {1150, 4915}, {1193, 12512}, {1201, 5493}, {1724, 37022}, {1742, 5313}, {1765, 3973}, {3146, 17749}, {3293, 4297}, {3530, 48903}, {3667, 4040}, {4256, 7411}, {4487, 4882}, {4551, 15326}, {5396, 8703}, {5453, 58190}, {5736, 7274}, {6888, 24902}, {6905, 33810}, {6909, 13329}, {8580, 59669}, {8583, 19284}, {9589, 21214}, {10164, 56191}, {10574, 50599}, {12571, 28257}, {15489, 48883}, {15705, 48855}, {16528, 34463}, {17194, 17549}, {19645, 23511}, {19767, 21734}, {20780, 51637}, {21363, 37331}, {27627, 51118}, {28158, 49992}, {28174, 32486}, {28236, 62325}, {33575, 44307}, {36004, 61220}, {37424, 37693}, {44245, 48916}, {48927, 62087}

X(62320) = inverse of X(1) in excentral-hexyl ellipse
X(62320) = pole of line {513, 35633} with respect to the Conway circle
X(62320) = pole of line {513, 6744} with respect to the incircle
X(62320) = pole of line {513, 6744} with respect to the DeLongchamps ellipse
X(62320) = pole of line {1, 3667} with respect to the excentral-hexyl ellipse
X(62320) = pole of line {513, 6738} with respect to the Suppa-Cucoanes circle
X(62320) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 1482, 14131}, {3, 37537, 37522}, {6909, 13329, 52680}

X(62321) = INVERSE OF X(1) IN JERABEK HYPERBOLA

X(62321) lies on these lines: {1, 125}, {33, 429}, {43, 46}, {60, 5622}, {78, 1060}, {184, 3216}, {185, 33811}, {227, 4849}, {386, 1899}, {581, 26937}, {603, 656}, {1181, 3149}, {1409, 21857}, {1425, 4551}, {2594, 26955}, {5400, 43831}, {9817, 30436}, {13198, 17104}, {13851, 52524}, {19348, 51340}, {19360, 36742}, {19361, 36750}, {19362, 37509}, {19456, 22156}, {19459, 36741}, {19767, 23291}, {21147, 36195}, {21663, 48897}, {27553, 54295}

X(62322) = INVERSE OF X(1) IN KIEPERT HYPERBOLA

X(62322) lies on circumconic {{A, B, C, X(6757), X(17768)}} and on these lines: {1, 115}, {2, 62400}, {5, 58036}, {9, 46}, {12, 1018}, {85, 1577}, {145, 62396}, {381, 16783}, {519, 23942}, {625, 4754}, {661, 10129}, {857, 16831}, {1509, 9166}, {2140, 4129}, {2475, 35342}, {2476, 16552}, {3091, 32431}, {3178, 3947}, {3294, 3822}, {3496, 61703}, {3632, 10026}, {3633, 53426}, {3661, 31023}, {3679, 23897}, {3697, 21873}, {4006, 4053}, {4115, 27690}, {4251, 17577}, {4253, 5141}, {4659, 44396}, {5030, 7504}, {5084, 24937}, {5254, 37693}, {6173, 8287}, {6537, 19875}, {6701, 21921}, {7719, 37982}, {9336, 16613}, {10585, 17732}, {10895, 16788}, {11263, 21044}, {13881, 37522}, {14061, 17103}, {17151, 27556}, {17175, 17669}, {17232, 31276}, {17244, 31057}, {17284, 20337}, {17300, 50570}, {17742, 37346}, {21075, 21675}, {21372, 27068}, {21604, 33933}, {23905, 25055}, {23947, 29573}, {24044, 27558}, {24075, 27571}, {24275, 25669}, {24512, 39565}, {25590, 46826}, {25639, 45751}, {26794, 28742}, {29383, 41324}, {37014, 52015}, {37350, 50260}, {43291, 49745}

X(62322) = inverse of X(1) in Kiepert hyperbola
X(62322) = complement of X(62400)
X(62322) = perspector of circumconic {{A, B, C, X(6742), X(60055)}}
X(62322) = pole of line {1, 3255} with respect to the Kiepert hyperbola
X(62322) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {5949, 8818, 9}

X(62323) = INVERSE OF X(1) IN KIEPERT PARABOLA

X(62323) lies on these lines: {1, 523}, {10, 513}, {100, 190}, {191, 28217}, {514, 4670}, {522, 3159}, {661, 17369}, {1125, 55244}, {1220, 4581}, {1329, 31946}, {2490, 50198}, {2827, 11698}, {2975, 3733}, {3579, 3667}, {3878, 4132}, {3993, 4777}, {4017, 5433}, {4364, 27929}, {4369, 34824}, {4444, 4472}, {4448, 24457}, {4665, 40459}, {4761, 49725}, {4784, 30564}, {4833, 5263}, {5690, 6003}, {6006, 15481}, {6161, 49998}, {6789, 51991}, {9013, 49524}, {9458, 28602}, {10022, 28840}, {11814, 24959}, {21135, 24095}, {24342, 28209}, {24885, 24920}, {30608, 55246}, {30990, 48183}, {35025, 35043}, {35155, 35173}, {47694, 57052}

X(62323) = midpoint of X(i) and X(j) for these {i,j}: {47694, 57052}
X(62323) = reflection of X(i) in X(j) for these {i,j}: {4364, 27929}, {4444, 4472}, {55244, 1125}
X(62323) = inverse of X(1) in Kiepert parabola
X(62323) = perspector of circumconic {{A, B, C, X(1016), X(24624)}}
X(62323) = X(i)-Ceva conjugate of X(j) for these {i, j}: {14513, 952}
X(62323) = pole of line {100, 859} with respect to the circumcircle
X(62323) = pole of line {30, 4694} with respect to the incircle
X(62323) = pole of line {3814, 24003} with respect to the nine-point circle
X(62323) = pole of line {860, 2969} with respect to the polar circle
X(62323) = pole of line {1, 900} with respect to the Kiepert parabola
X(62323) = pole of line {190, 16704} with respect to the Steiner circumellipse
X(62323) = pole of line {4358, 4422} with respect to the Steiner inellipse
X(62323) = pole of line {2, 59737} with respect to the Yff parabola
X(62323) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1220), X(56950)}}, {{A, B, C, X(2758), X(61479)}}, {{A, B, C, X(4427), X(23836)}}, {{A, B, C, X(4581), X(17780)}}, {{A, B, C, X(23345), X(53280)}}, {{A, B, C, X(23832), X(50344)}}

X(62324) = INVERSE OF X(1) IN YFF PARABOLA

X(62324) lies on these lines: {1, 514}, {190, 646}, {274, 1019}, {513, 4363}, {649, 4384}, {870, 4817}, {875, 6372}, {1022, 27922}, {1698, 25381}, {3249, 48144}, {3661, 20295}, {3679, 4785}, {3766, 24623}, {3835, 17284}, {4063, 16552}, {4083, 56542}, {4129, 27040}, {4670, 23345}, {5220, 6008}, {6002, 48883}, {10436, 21143}, {16831, 52745}, {17318, 57051}, {17494, 31036}, {18822, 35172}, {21211, 25590}, {23596, 48086}, {24491, 46894}, {24594, 47762}, {26798, 29587}, {27013, 29628}, {27091, 47793}, {27138, 29629}, {31183, 31286}, {47660, 53359}

X(62324) = reflection of X(i) in X(j) for these {i,j}: {1, 4375}, {17318, 57051}, {23345, 4670}, {48320, 4817}
X(62324) = inverse of X(1) in Yff parabola
X(62324) = perspector of circumconic {{A, B, C, X(673), X(7035)}}
X(62324) = pole of line {4360, 50343} with respect to the Kiepert parabola
X(62324) = pole of line {54353, 57129} with respect to the Stammler hyperbola
X(62324) = pole of line {239, 3952} with respect to the Steiner circumellipse
X(62324) = pole of line {3008, 24003} with respect to the Steiner inellipse
X(62324) = pole of line {1, 812} with respect to the Yff parabola
X(62324) = intersection, other than A, B, C, of circumconics {{A, B, C, X(190), X(1027)}}, {{A, B, C, X(646), X(885)}}, {{A, B, C, X(870), X(36816)}}, {{A, B, C, X(4817), X(23891)}}
X(62324) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {514, 4375, 1}, {649, 14433, 4384}

X(62325) = INVERSE OF X(1) IN DUAL CONIC OF 1ST YFF-MOSES HYPERBOLA

X(62325) lies on these lines: {1, 2}, {44, 1018}, {513, 3245}, {518, 4674}, {668, 17160}, {740, 4738}, {1739, 3999}, {1757, 5541}, {2802, 21805}, {3953, 21896}, {4259, 9039}, {4277, 9331}, {4424, 49515}, {4551, 36920}, {4742, 59669}, {5400, 28234}, {5754, 11278}, {8168, 37610}, {9260, 48282}, {17151, 44147}, {20331, 45751}, {28236, 62320}, {34790, 49981}, {37598, 49982}, {39949, 56018}, {48696, 52680}

X(62326) = INVERSE OF X(1) IN DUAL CONIC OF DELONGCHAMPS CIRCLE

X(62326) lies on these lines: {1, 6}, {2, 46017}, {5, 5908}, {10, 12233}, {198, 37837}, {210, 11436}, {268, 1741}, {281, 2262}, {282, 2270}, {389, 5044}, {391, 62391}, {521, 3239}, {578, 31445}, {610, 9942}, {674, 14717}, {856, 2245}, {936, 9786}, {1192, 5438}, {1837, 53994}, {2182, 6001}, {2183, 34591}, {3008, 23982}, {3452, 13567}, {3683, 11429}, {5053, 8558}, {5087, 46100}, {5273, 11427}, {5328, 37643}, {5745, 23292}, {5836, 54283}, {6834, 38015}, {8756, 58894}, {8811, 40838}, {10374, 57534}, {11425, 31424}, {11433, 18228}, {12241, 12572}, {13568, 57284}, {14524, 18634}, {19366, 25917}, {23058, 61695}, {24471, 56445}, {26668, 52385}, {26932, 34371}, {26958, 30827}, {27509, 43216}

X(62326) = complement of X(62402)
X(62326) = perspector of circumconic {{A, B, C, X(100), X(280)}}
X(62326) = X(i)-complementary conjugate of X(j) for these {i, j}: {33, 119}, {104, 34822}, {607, 52659}, {663, 10017}, {909, 17073}, {1309, 17072}, {2212, 23980}, {2250, 18642}, {2299, 34586}, {2342, 3}, {3939, 42769}, {14776, 522}, {16082, 17046}, {18344, 57434}, {32702, 7658}, {34234, 18639}, {34858, 17102}, {36110, 3900}, {36123, 2886}, {43933, 17059}, {51565, 1368}, {52663, 18589}
X(62326) = pole of line {196, 17924} with respect to the polar circle
X(62326) = pole of line {20317, 41883} with respect to the Spieker circle
X(62326) = pole of line {55, 4081} with respect to the Feuerbach hyperbola
X(62326) = pole of line {1854, 15313} with respect to the Orthic inconic
X(62326) = pole of line {281, 650} with respect to the Steiner inellipse
X(62326) = pole of line {1, 521} with respect to the dual conic of DeLongchamps circle
X(62326) = pole of line {27383, 57091} with respect to the dual conic of incircle
X(62326) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(59), X(46355)}}, {{A, B, C, X(521), X(7078)}}, {{A, B, C, X(2324), X(3239)}}, {{A, B, C, X(7003), X(22124)}}
X(62326) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {20262, 20263, 15849}

X(62327) = INVERSE OF X(1) IN DUAL CONIC OF EXCIRCLES-RADICAL CIRCLE

X(62327) lies on these lines: {1, 75}, {850, 4025}, {1441, 3754}, {4032, 40564}, {4858, 8680}, {17861, 24443}, {17862, 25080}, {20320, 56839}, {20905, 25081}, {21207, 41804}, {62300, 62305}

X(62328) = INVERSE OF X(1) IN DUAL CONIC OF POLAR CIRCLE

X(62328) lies on these lines: {1, 69}, {9, 28419}, {44, 11064}, {307, 7183}, {343, 17237}, {394, 4643}, {656, 4025}, {1743, 28708}, {1785, 3260}, {3912, 62382}, {4416, 20806}, {5750, 28421}, {17023, 41614}, {17353, 28408}, {26626, 53021}, {37669, 54280}

X(62329) = INVERSE OF X(1) IN DUAL CONIC OF WALLACE HYPERBOLA

X(62329) lies on these lines: {1, 523}, {2, 62397}, {9, 45801}, {44, 1640}, {525, 4643}, {1109, 2632}, {4064, 20653}, {7952, 18808}, {8068, 62364}, {14792, 62173}, {14793, 46616}, {14977, 17316}, {17023, 18311}, {17284, 18310}, {46608, 59334}, {53374, 54280}, {56814, 62172}

X(62330) = INVERSE OF X(3) IN EXCIRCLES-RADICAL CIRCLE

X(62330) lies on these lines: {2, 62342}, {3, 10}, {4, 14453}, {43, 3465}, {46, 1899}, {386, 45272}, {429, 1785}, {517, 34455}, {522, 4129}, {970, 43703}, {5130, 11507}, {5179, 49637}, {6001, 34459}, {19763, 57530}, {31653, 50933}, {32778, 62393}, {44662, 51414}

X(62331) = INVERSE OF X(3) IN GALLATLY CIRCLE

X(62331) lies on these lines: {3, 6}, {325, 732}, {538, 6034}, {542, 62355}, {625, 41622}, {694, 36212}, {698, 44380}, {1180, 33873}, {1503, 12830}, {1916, 12215}, {4048, 10349}, {5103, 5254}, {5207, 7774}, {5969, 59634}, {7748, 32429}, {7832, 45804}, {7895, 14994}, {7905, 32451}, {16068, 48445}, {36214, 41517}, {44534, 44771}, {47638, 60667}

X(62332) = INVERSE OF X(3) IN STEINER CIRCLE

X(62332) lies on these lines: {2, 3}, {39, 47322}, {511, 16003}, {1503, 23236}, {3258, 44437}, {3564, 37496}, {3580, 20379}, {3581, 29181}, {5013, 47275}, {5160, 37722}, {5319, 16306}, {5480, 40280}, {5609, 40112}, {6247, 37484}, {7286, 15888}, {7796, 58846}, {8705, 13340}, {8717, 61743}, {9605, 16303}, {9606, 16308}, {9722, 15655}, {10564, 29012}, {10625, 11649}, {11645, 30714}, {13339, 32217}, {13348, 18488}, {13857, 16534}, {14805, 44882}, {14915, 15063}, {14961, 52945}, {15030, 52101}, {15057, 15107}, {15061, 32269}, {15069, 37483}, {15448, 38794}, {19924, 20417}, {20126, 25328}, {20397, 32225}, {29317, 32110}, {31401, 47169}, {32111, 51391}, {32113, 40107}, {32237, 38793}, {34514, 54040}, {35002, 45921}, {36749, 47549}, {37470, 48901}, {37471, 51733}, {39242, 48898}, {40115, 53419}, {43090, 52056}, {44413, 45967}, {47491, 61282}, {47545, 53092}, {47584, 57307}, {49116, 61665}

X(62332) = midpoint of X(i) and X(j) for these {i,j}: {5189, 7464}
X(62332) = reflection of X(i) in X(j) for these {i,j}: {11799, 858}, {18323, 7574}, {18325, 10297}, {23, 15122}, {32111, 51391}, {5899, 10257}
X(62332) = inverse of X(5055) in nine-point circle
X(62332) = inverse of X(40916) in orthoptic circle of the Steiner Inellipse
X(62332) = inverse of X(3) in Steiner circle
X(62332) = inverse of X(5055) in MacBeath inconic
X(62332) = complement of X(37946)
X(62332) = anticomplement of X(16619)
X(62332) = perspector of circumconic {{A, B, C, X(648), X(59763)}}
X(62332) = X(i)-Dao conjugate of X(j) for these {i, j}: {16619, 16619}
X(62332) = pole of line {523, 5055} with respect to the nine-point circle
X(62332) = pole of line {523, 40916} with respect to the orthoptic circle of the Steiner Inellipse
X(62332) = pole of line {3, 523} with respect to the Steiner circle
X(62332) = pole of line {6, 5609} with respect to the Kiepert hyperbola
X(62332) = pole of line {523, 5055} with respect to the MacBeath inconic
X(62332) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2693), X(7514)}}, {{A, B, C, X(7530), X(15318)}}, {{A, B, C, X(10301), X(41522)}}, {{A, B, C, X(18317), X(47313)}}, {{A, B, C, X(40916), X(60590)}}
X(62332) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {20, 14790, 382}, {20, 3520, 548}, {30, 10257, 5899}, {30, 10297, 18325}, {30, 15122, 23}, {30, 7574, 18323}, {30, 858, 11799}, {382, 3526, 1598}, {858, 11799, 2072}, {1312, 1313, 5055}, {2041, 2042, 7530}, {5189, 7464, 30}

X(62333) = INVERSE OF X(3) IN FEUERBACH HYPERBOLA

X(62333) lies on these lines: {1, 90}, {2, 26476}, {3, 11}, {4, 37579}, {5, 8069}, {6, 14749}, {8, 4571}, {9, 56278}, {10, 55}, {12, 6913}, {20, 37578}, {21, 497}, {25, 1852}, {30, 7742}, {31, 2654}, {32, 62372}, {34, 8758}, {35, 6883}, {36, 4333}, {47, 60691}, {56, 946}, {65, 11496}, {72, 7082}, {100, 54361}, {104, 5553}, {105, 46964}, {197, 13724}, {224, 1001}, {355, 11508}, {382, 41345}, {388, 6912}, {390, 16865}, {404, 10589}, {411, 5225}, {474, 25639}, {496, 6914}, {498, 10958}, {515, 11510}, {519, 10965}, {748, 22072}, {855, 22654}, {915, 7040}, {920, 24474}, {952, 61559}, {954, 60910}, {956, 2098}, {958, 3057}, {976, 7069}, {993, 10966}, {997, 41559}, {999, 3649}, {1006, 4294}, {1125, 22768}, {1158, 18838}, {1210, 11509}, {1319, 12114}, {1376, 17606}, {1387, 32153}, {1388, 11715}, {1399, 41344}, {1406, 1777}, {1420, 11372}, {1456, 41402}, {1466, 17728}, {1470, 3086}, {1478, 37234}, {1486, 13733}, {1519, 59366}, {1617, 7354}, {1621, 3486}, {1697, 5251}, {1699, 37583}, {1709, 34489}, {1724, 61397}, {1728, 37569}, {1737, 11248}, {1776, 3868}, {1839, 2178}, {1857, 41227}, {1864, 12260}, {1898, 18446}, {1936, 54354}, {2078, 5691}, {2241, 53561}, {2886, 37248}, {2915, 9673}, {2933, 37366}, {2975, 5698}, {3058, 16418}, {3085, 6920}, {3145, 36501}, {3149, 5172}, {3271, 40944}, {3295, 7489}, {3303, 37740}, {3304, 5542}, {3428, 12701}, {3445, 6129}, {3583, 6985}, {3586, 10902}, {3601, 3646}, {3660, 34862}, {3746, 5727}, {3925, 37244}, {3962, 5048}, {4185, 23383}, {4186, 23843}, {4189, 5274}, {4293, 21669}, {4423, 19520}, {4428, 34700}, {4995, 16857}, {4999, 15845}, {5047, 5218}, {5204, 37022}, {5234, 9898}, {5258, 7962}, {5281, 16859}, {5289, 44782}, {5326, 16853}, {5432, 11108}, {5570, 24467}, {5587, 11501}, {5603, 26437}, {5722, 11507}, {5886, 22766}, {6735, 8668}, {6767, 37734}, {6824, 26481}, {6893, 10321}, {6905, 10591}, {6909, 7288}, {6911, 7741}, {6918, 7173}, {6924, 10593}, {6929, 10523}, {6930, 10629}, {6950, 47743}, {7004, 28082}, {7078, 7299}, {7083, 40980}, {7280, 50444}, {7580, 12953}, {7743, 26286}, {7952, 45946}, {9580, 59320}, {9614, 11012}, {9817, 37552}, {10056, 10955}, {10072, 28444}, {10094, 10269}, {10122, 16141}, {10246, 30538}, {10267, 10572}, {10306, 40663}, {10310, 24914}, {10385, 16858}, {10391, 51715}, {10396, 61663}, {10573, 10679}, {10826, 11499}, {10832, 13730}, {10947, 24390}, {10953, 11113}, {10959, 15868}, {11019, 41565}, {11238, 16370}, {11249, 30384}, {11365, 37227}, {11373, 22767}, {11379, 13462}, {11434, 24005}, {11998, 16781}, {12019, 32141}, {12332, 20118}, {12589, 36740}, {12625, 58328}, {12699, 59317}, {12736, 40256}, {12775, 12832}, {13464, 18967}, {13732, 37577}, {14793, 37720}, {14882, 61717}, {15171, 40292}, {15325, 40293}, {15446, 16173}, {15622, 37391}, {16132, 21842}, {17516, 53279}, {18761, 45287}, {19283, 21321}, {20066, 45043}, {20988, 37052}, {26332, 40271}, {31231, 59326}, {31424, 54408}, {33857, 34471}, {34772, 42843}, {37300, 52367}, {37302, 48482}, {37492, 39873}, {37618, 50528}, {40950, 57530}, {42385, 54394}, {52428, 59305}

X(62333) = midpoint of X(i) and X(j) for these {i,j}: {1, 90}
X(62333) = reflection of X(i) in X(j) for these {i,j}: {10, 58415}, {41540, 1125}
X(62333) = inverse of X(3) in Feuerbach hyperbola
X(62333) = X(i)-Dao conjugate of X(j) for these {i, j}: {8735, 17924}
X(62333) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1332, 650}
X(62333) = pole of line {34948, 55126} with respect to the circumcircle
X(62333) = pole of line {7649, 15313} with respect to the incircle
X(62333) = pole of line {3, 63} with respect to the Feuerbach hyperbola
X(62333) = pole of line {3193, 37579} with respect to the Stammler hyperbola
X(62333) = pole of line {222, 24789} with respect to the dual conic of Yff parabola
X(62333) = intersection, other than A, B, C, of circumconics {{A, B, C, X(90), X(24179)}}, {{A, B, C, X(912), X(7040)}}, {{A, B, C, X(915), X(3157)}}, {{A, B, C, X(1751), X(56278)}}, {{A, B, C, X(2218), X(45393)}}, {{A, B, C, X(41506), X(43740)}}
X(62333) = barycentric product X(i)*X(j) for these (i, j): {24179, 9}
X(62333) = barycentric quotient X(i)/X(j) for these (i, j): {24179, 85}
X(62333) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 30223, 1858}, {1, 45632, 41537}, {1, 90, 912}, {21, 497, 26357}, {35, 9581, 11502}, {496, 6914, 8071}, {499, 10058, 3}, {993, 12053, 10966}, {1006, 4294, 37601}, {1728, 37569, 41538}, {3086, 6906, 1470}, {3583, 36152, 6985}, {4314, 54430, 55}, {5172, 10896, 3149}, {5450, 44675, 56}, {7741, 59334, 6911}, {10826, 32760, 11499}, {11496, 57278, 65}, {15558, 22837, 2098}

X(62334) = INVERSE OF X(3) IN JOHNSON CIRCUMCONIC

X(62334) lies on these lines: {2, 3}, {216, 14845}, {265, 43918}, {520, 34983}, {1154, 36831}, {1568, 23181}, {1624, 18400}, {2055, 18350}, {2972, 13391}, {5654, 23158}, {6000, 43919}, {6760, 37477}, {10095, 42441}, {13364, 61378}, {13376, 18114}, {14059, 37484}, {14128, 31388}, {14157, 38999}, {16186, 48914}, {18874, 46025}, {19210, 43598}, {36245, 43821}

X(62335) = INVERSE OF X(3) IN ORTHIC INCONIC

X(62335) lies on these lines: {3, 6}, {115, 62361}, {924, 2501}, {5254, 61714}, {5449, 9722}, {5562, 46262}, {6000, 53416}, {9220, 44870}, {9721, 36253}, {13567, 34827}, {13754, 16310}, {52000, 52418}

X(62336) = INVERSE OF X(3) IN ANTI-ARTZT CIRCLE

X(62336) lies on these lines: {3, 67}, {98, 3431}, {99, 11593}, {110, 3734}, {115, 61743}, {690, 3288}, {1511, 15819}, {3016, 56967}, {5026, 37283}, {7622, 9140}, {11676, 57268}, {15035, 52770}, {35933, 62295}

X(62337) = INVERSE OF X(3) IN DUAL CONIC OF DELONGCHAMPS CIRCLE

X(62337) lies on these lines: {2, 62347}, {3, 6}, {185, 40138}, {340, 11433}, {393, 11381}, {520, 6587}, {1033, 34469}, {1249, 6241}, {1990, 6000}, {3917, 61301}, {5650, 61307}, {5702, 5890}, {5876, 59657}, {6749, 10110}, {8745, 14642}, {9781, 40065}, {10219, 52704}, {13382, 61714}, {14641, 42459}, {15291, 52000}, {18877, 52952}, {20199, 26958}, {34854, 34980}, {46847, 61315}

X(62338) = INVERSE OF X(3) IN DUAL CONIC OF POLAR CIRCLE

X(62338) lies on these lines: {2, 14836}, {3, 69}, {5, 44135}, {8, 41808}, {30, 1272}, {50, 524}, {67, 43705}, {76, 60130}, {99, 340}, {141, 566}, {157, 46442}, {183, 7495}, {264, 847}, {290, 57679}, {297, 14570}, {305, 57819}, {311, 13160}, {316, 38680}, {317, 6240}, {325, 523}, {328, 2072}, {338, 44388}, {394, 62360}, {401, 44363}, {403, 44138}, {441, 22151}, {491, 13430}, {492, 13441}, {599, 59211}, {1007, 5094}, {1300, 57760}, {1494, 7799}, {1654, 22377}, {1975, 5877}, {1993, 52350}, {2071, 44402}, {2407, 56021}, {3003, 3580}, {3589, 41335}, {3631, 59555}, {4590, 57651}, {5201, 23181}, {5965, 22463}, {6148, 44280}, {6340, 36889}, {6389, 20806}, {6394, 43754}, {6503, 45794}, {6527, 37444}, {7763, 37118}, {7776, 14791}, {7796, 44133}, {7871, 14615}, {8905, 11412}, {10607, 40341}, {11064, 11079}, {12225, 20477}, {13371, 44136}, {14264, 61188}, {15526, 36212}, {15993, 47406}, {16063, 37668}, {16789, 37184}, {18122, 53474}, {19583, 31152}, {20208, 28408}, {32000, 37119}, {32001, 35471}, {34827, 53416}, {34990, 62376}, {35298, 47558}, {37636, 52032}, {37638, 52703}, {39099, 47526}, {39352, 40888}, {40353, 51227}, {41359, 54092}, {41716, 42353}, {41770, 56017}, {44174, 51458}, {44377, 44529}, {44886, 60518}, {49116, 51397}

X(62338) = midpoint of X(i) and X(j) for these {i,j}: {1272, 52149}
X(62338) = reflection of X(i) in X(j) for these {i,j}: {53416, 34827}, {60053, 11064}
X(62338) = isotomic conjugate of X(1300)
X(62338) = anticomplement of X(16310)
X(62338) = trilinear pole of line {686, 6334}
X(62338) = perspector of circumconic {{A, B, C, X(76), X(4563)}}
X(62338) = X(i)-isoconjugate-of-X(j) for these {i, j}: {19, 14910}, {25, 36053}, {31, 1300}, {512, 36114}, {661, 32708}, {687, 798}, {1096, 5504}, {1395, 56103}, {1924, 57932}, {1973, 2986}, {2159, 51965}, {2173, 40388}, {15328, 32676}, {24019, 61216}
X(62338) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 1300}, {6, 14910}, {113, 25}, {394, 15478}, {2088, 47230}, {3003, 1990}, {3163, 51965}, {3580, 186}, {6334, 35235}, {6337, 2986}, {6338, 57829}, {6503, 5504}, {6505, 36053}, {9428, 57932}, {11064, 30}, {15526, 15328}, {16178, 58757}, {16310, 16310}, {31998, 687}, {34834, 4}, {35071, 61216}, {35588, 34952}, {36830, 32708}, {36896, 40388}, {39005, 512}, {39019, 35361}, {39021, 2501}, {39054, 36114}, {39174, 40352}, {40604, 38936}, {52032, 60035}, {56399, 1989}
X(62338) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1494, 69}, {7799, 11064}, {20573, 343}
X(62338) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {1299, 5905}, {43709, 21221}, {43756, 8}
X(62338) = X(i)-cross conjugate of X(j) for these {i, j}: {131, 2}, {13754, 3580}, {60342, 4558}
X(62338) = pole of line {22, 3566} with respect to the circumcircle
X(62338) = pole of line {2, 38380} with respect to the DeLongchamps circle
X(62338) = pole of line {6644, 44680} with respect to the 1st Droz-Farny circle
X(62338) = pole of line {3566, 44440} with respect to the 2nd Droz-Farny circle
X(62338) = pole of line {2, 44680} with respect to the nine-point circle
X(62338) = pole of line {25, 34952} with respect to the polar circle
X(62338) = pole of line {3566, 44457} with respect to the Stammler circle
X(62338) = pole of line {3124, 13881} with respect to the Kiepert hyperbola
X(62338) = pole of line {525, 4558} with respect to the Kiepert parabola
X(62338) = pole of line {3049, 23128} with respect to the MacBeath circumconic
X(62338) = pole of line {2, 38380} with respect to the MacBeath inconic
X(62338) = pole of line {25, 1576} with respect to the Stammler hyperbola
X(62338) = pole of line {69, 6563} with respect to the Steiner circumellipse
X(62338) = pole of line {141, 30511} with respect to the Steiner inellipse
X(62338) = pole of line {4, 110} with respect to the Wallace hyperbola
X(62338) = pole of line {3, 523} with respect to the dual conic of polar circle
X(62338) = pole of line {2, 525} with respect to the dual conic of Orthic inconic
X(62338) = pole of line {523, 2970} with respect to the dual conic of Stammler hyperbola
X(62338) = pole of line {36841, 44769} with respect to the dual conic of Yff hyperbola
X(62338) = pole of line {512, 8754} with respect to the dual conic of Wallace hyperbola
X(62338) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(57760)}}, {{A, B, C, X(3), X(403)}}, {{A, B, C, X(50), X(51847)}}, {{A, B, C, X(67), X(3564)}}, {{A, B, C, X(69), X(850)}}, {{A, B, C, X(70), X(6193)}}, {{A, B, C, X(113), X(20123)}}, {{A, B, C, X(131), X(1300)}}, {{A, B, C, X(253), X(40697)}}, {{A, B, C, X(264), X(6563)}}, {{A, B, C, X(265), X(18781)}}, {{A, B, C, X(305), X(30474)}}, {{A, B, C, X(328), X(3268)}}, {{A, B, C, X(332), X(35519)}}, {{A, B, C, X(684), X(57679)}}, {{A, B, C, X(686), X(9148)}}, {{A, B, C, X(693), X(1444)}}, {{A, B, C, X(858), X(15329)}}, {{A, B, C, X(1491), X(2315)}}, {{A, B, C, X(1725), X(2517)}}, {{A, B, C, X(1792), X(4397)}}, {{A, B, C, X(1986), X(5504)}}, {{A, B, C, X(2072), X(22115)}}, {{A, B, C, X(3005), X(20775)}}, {{A, B, C, X(3260), X(18878)}}, {{A, B, C, X(3261), X(17206)}}, {{A, B, C, X(3265), X(3964)}}, {{A, B, C, X(3267), X(3926)}}, {{A, B, C, X(3933), X(23285)}}, {{A, B, C, X(5962), X(44665)}}, {{A, B, C, X(6334), X(6390)}}, {{A, B, C, X(6337), X(36889)}}, {{A, B, C, X(6776), X(30735)}}, {{A, B, C, X(12215), X(14295)}}, {{A, B, C, X(16237), X(30737)}}, {{A, B, C, X(19459), X(44084)}}, {{A, B, C, X(19588), X(58882)}}, {{A, B, C, X(19597), X(56739)}}, {{A, B, C, X(20794), X(23301)}}, {{A, B, C, X(22152), X(59568)}}, {{A, B, C, X(22369), X(50538)}}, {{A, B, C, X(39899), X(56403)}}, {{A, B, C, X(41298), X(44180)}}, {{A, B, C, X(41665), X(46138)}}, {{A, B, C, X(45279), X(61209)}}, {{A, B, C, X(47236), X(51611)}}
X(62338) = barycentric product X(i)*X(j) for these (i, j): {328, 34834}, {394, 44138}, {525, 61188}, {670, 686}, {1725, 304}, {2315, 561}, {3003, 305}, {3580, 69}, {3926, 403}, {4563, 55121}, {6334, 99}, {13754, 76}, {15329, 3267}, {16237, 3265}, {18609, 20336}, {21731, 52608}, {34333, 40832}, {39170, 7799}, {41512, 45792}, {52437, 57486}, {52451, 6393}, {52504, 9723}, {52617, 61209}
X(62338) = barycentric quotient X(i)/X(j) for these (i, j): {2, 1300}, {3, 14910}, {30, 51965}, {63, 36053}, {69, 2986}, {74, 40388}, {99, 687}, {110, 32708}, {113, 1990}, {131, 16310}, {305, 40832}, {323, 38936}, {328, 40427}, {343, 60035}, {345, 56103}, {394, 5504}, {403, 393}, {520, 61216}, {525, 15328}, {662, 36114}, {670, 57932}, {686, 512}, {1725, 19}, {1986, 52418}, {2315, 31}, {3003, 25}, {3265, 15421}, {3580, 4}, {3926, 57829}, {4558, 10420}, {4563, 18878}, {6334, 523}, {6368, 35361}, {6503, 15478}, {8552, 15470}, {9723, 52505}, {11064, 15454}, {12824, 8744}, {12825, 15262}, {12827, 5523}, {12828, 60428}, {13754, 6}, {14264, 8749}, {14919, 10419}, {15329, 112}, {16237, 107}, {18609, 28}, {21731, 2489}, {22115, 52557}, {34333, 3003}, {34834, 186}, {37638, 58942}, {39170, 1989}, {43756, 57636}, {44084, 2207}, {44138, 2052}, {44427, 14222}, {44436, 51895}, {46085, 53416}, {47236, 58757}, {47405, 1495}, {51821, 40354}, {52000, 8745}, {52451, 6531}, {52504, 847}, {53568, 16318}, {53785, 18877}, {53958, 58959}, {55121, 2501}, {56403, 18384}, {57482, 39375}, {57486, 6344}, {60342, 47230}, {60498, 8753}, {61188, 648}, {61209, 32713}, {62361, 14593}
X(62338) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {69, 40697, 9723}, {69, 44180, 41008}, {69, 50572, 40697}, {69, 52347, 1238}, {566, 18375, 141}, {1272, 52149, 30}, {1273, 3260, 325}, {1273, 35520, 3260}, {3964, 40995, 69}

X(62339) = INVERSE OF X(3) IN DUAL CONIC OF WALLACE HYPERBOLA

X(62339) lies on these lines: {3, 523}, {4, 43709}, {125, 136}, {185, 924}, {254, 18808}, {5466, 60256}, {6368, 23105}, {8029, 36190}, {10412, 56272}, {20184, 34563}, {43088, 51254}

X(62340) = INVERSE OF X(4) IN BEVAN CIRCLE

X(62340) lies on these lines: {1, 20838}, {3, 18161}, {4, 9}, {46, 3468}, {57, 20277}, {185, 2939}, {484, 56910}, {517, 51621}, {1155, 43058}, {1726, 9572}, {2114, 13329}, {2717, 15439}, {2947, 15496}, {2954, 22080}, {5074, 61122}, {6769, 54070}, {7112, 54404}, {37551, 47621}, {39596, 41338}

X(62341) = INVERSE OF X(4) IN 1ST BROCARD CIRCLE

X(62341) lies on these lines: {3, 56980}, {4, 83}, {6, 38525}, {39, 2715}, {54, 826}, {74, 53767}, {110, 15000}, {512, 33695}, {575, 38680}, {1316, 5012}, {1614, 15920}, {1656, 15541}, {1971, 49124}, {2698, 3398}, {3520, 54057}, {5489, 39495}, {6241, 20968}, {6785, 33753}, {10991, 12192}, {11638, 20190}, {14885, 48262}, {15462, 22265}, {18304, 18338}, {43598, 47049}, {47388, 51244}

X(62342) = INVERSE OF X(4) IN CONWAY CIRCLE

X(62342) lies on these lines: {1, 4}, {2, 62330}, {36, 1733}, {522, 1019}, {1324, 11337}, {1610, 41013}, {2723, 13395}, {3741, 52121}, {3757, 35996}, {4362, 39596}, {4975, 45765}, {9798, 20220}, {10479, 50368}, {10538, 16049}, {30273, 40292}, {35645, 39552}

X(62343) = INVERSE OF X(4) IN EXCIRCLES-RADICAL CIRCLE

X(62343) lies on these lines: {4, 9}, {43, 223}, {181, 46017}, {386, 51775}, {514, 656}, {517, 51366}, {610, 6776}, {910, 1503}, {970, 52097}, {1439, 4260}, {1490, 18913}, {1738, 16609}, {1848, 21912}, {1899, 15496}, {3033, 9436}, {3198, 13567}, {3684, 5847}, {3687, 11347}, {5088, 9534}, {5929, 18641}, {5930, 9255}, {5932, 14189}, {6353, 7070}, {6354, 59658}, {8808, 56161}, {12410, 13737}, {43213, 43219}

X(62344) = INVERSE OF X(4) IN STEINER CIRCLE

X(62344) lies on these lines: {2, 3}, {74, 32269}, {141, 16261}, {325, 46993}, {343, 11455}, {511, 1533}, {524, 14094}, {691, 47584}, {850, 46996}, {1072, 11809}, {1181, 47549}, {1514, 29181}, {1531, 29317}, {3564, 12112}, {3580, 14915}, {5013, 47169}, {5160, 9628}, {5254, 47322}, {5286, 16303}, {5523, 52945}, {5648, 10706}, {5734, 47471}, {6000, 41586}, {7286, 37722}, {8262, 15738}, {8705, 14867}, {8718, 12241}, {9019, 16105}, {9158, 38678}, {9607, 16308}, {10519, 47449}, {11064, 43576}, {11271, 48669}, {11362, 47321}, {11456, 32220}, {11459, 32113}, {11594, 12505}, {11649, 45186}, {11820, 26869}, {12022, 44490}, {12279, 41587}, {14981, 44437}, {15030, 40107}, {15034, 35266}, {15035, 15448}, {15054, 15360}, {16163, 32237}, {16194, 37636}, {16534, 40112}, {16654, 41171}, {16657, 32217}, {18911, 35237}, {19924, 38791}, {20417, 32225}, {23236, 46818}, {32110, 50434}, {32224, 39646}, {32247, 47558}, {37477, 46817}, {38526, 39263}, {38675, 38677}, {44518, 47275}, {46261, 54040}, {46984, 47263}, {47491, 61288}, {47544, 53093}, {51733, 61134}

X(62344) = reflection of X(i) in X(j) for these {i,j}: {10295, 23}, {16163, 32237}, {16386, 2070}, {3, 16619}, {325, 46993}, {32111, 1533}, {32247, 47558}, {37477, 46817}, {43576, 11064}, {550, 12105}, {5189, 10297}, {50434, 32110}, {691, 47584}, {74, 32269}, {7464, 468}, {850, 46996}, {858, 11799}
X(62344) = inverse of X(3545) in nine-point circle
X(62344) = inverse of X(11284) in orthoptic circle of the Steiner Inellipse
X(62344) = inverse of X(1597) in polar circle
X(62344) = inverse of X(4) in Steiner circle
X(62344) = inverse of X(3545) in MacBeath inconic
X(62344) = pole of line {523, 3545} with respect to the nine-point circle
X(62344) = pole of line {523, 11284} with respect to the orthoptic circle of the Steiner Inellipse
X(62344) = pole of line {523, 1597} with respect to the polar circle
X(62344) = pole of line {4, 523} with respect to the Steiner circle
X(62344) = pole of line {6, 14094} with respect to the Kiepert hyperbola
X(62344) = pole of line {523, 3545} with respect to the MacBeath inconic
X(62344) = pole of line {69, 16003} with respect to the Wallace hyperbola
X(62344) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(523), X(1597)}}, {{A, B, C, X(2697), X(46336)}}, {{A, B, C, X(11284), X(60590)}}, {{A, B, C, X(16104), X(31861)}}, {{A, B, C, X(47314), X(54512)}}
X(62344) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 16619, 7426}, {20, 3089, 631}, {20, 382, 18560}, {20, 3832, 6643}, {23, 30, 10295}, {30, 10297, 5189}, {30, 11799, 858}, {30, 12105, 550}, {30, 16619, 3}, {30, 2070, 16386}, {30, 468, 7464}, {382, 7387, 20}, {511, 1533, 32111}, {858, 11799, 403}, {1312, 1313, 3545}

X(62345) = INVERSE OF X(4) IN JOHNSON CIRCUMCONIC

X(62345) lies on these lines: {2, 3}, {324, 5891}, {511, 52661}, {520, 6761}, {1093, 11412}, {1154, 35360}, {1568, 39569}, {2052, 11459}, {5562, 13450}, {5890, 15466}, {5907, 44732}, {8884, 43598}, {9705, 38808}, {10170, 40684}, {11591, 60828}, {13391, 34334}, {13754, 46106}, {14128, 14978}, {14363, 14531}, {14640, 61378}, {14831, 59529}, {14918, 36831}, {15045, 52147}, {16080, 54615}, {19174, 41171}, {35311, 50461}, {43752, 43767}, {51031, 61134}, {54082, 61217}, {56292, 56298}

X(62345) = inverse of X(14894) in polar circle
X(62345) = inverse of X(4) in Johnson circumconic
X(62345) = isogonal conjugate of X(43918)
X(62345) = isotomic conjugate of X(43767)
X(62345) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 43918}, {31, 43767}, {48, 43766}, {2169, 43917}
X(62345) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 43767}, {3, 43918}, {1249, 43766}, {14363, 43917}
X(62345) = X(i)-Ceva conjugate of X(j) for these {i, j}: {74, 56303}
X(62345) = pole of line {523, 14216} with respect to the anticomplementary circle
X(62345) = pole of line {523, 56303} with respect to the circumcircle
X(62345) = pole of line {523, 18383} with respect to the circumcircle of the Johnson triangle
X(62345) = pole of line {389, 523} with respect to the polar circle
X(62345) = pole of line {185, 56303} with respect to the Jerabek hyperbola
X(62345) = pole of line {4, 520} with respect to the Johnson circumconic
X(62345) = pole of line {3, 43918} with respect to the Stammler hyperbola
X(62345) = pole of line {324, 525} with respect to the Steiner circumellipse
X(62345) = pole of line {69, 43767} with respect to the Wallace hyperbola
X(62345) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3), X(43574)}}, {{A, B, C, X(30), X(54615)}}, {{A, B, C, X(235), X(13450)}}, {{A, B, C, X(311), X(15760)}}, {{A, B, C, X(381), X(17500)}}, {{A, B, C, X(417), X(5562)}}, {{A, B, C, X(477), X(36179)}}, {{A, B, C, X(523), X(14894)}}, {{A, B, C, X(546), X(40449)}}, {{A, B, C, X(852), X(53174)}}, {{A, B, C, X(868), X(39569)}}, {{A, B, C, X(1263), X(43893)}}, {{A, B, C, X(1568), X(1650)}}, {{A, B, C, X(1907), X(36809)}}, {{A, B, C, X(5627), X(34093)}}, {{A, B, C, X(6823), X(27356)}}, {{A, B, C, X(7480), X(35360)}}, {{A, B, C, X(14618), X(52280)}}, {{A, B, C, X(15329), X(36831)}}, {{A, B, C, X(15761), X(56272)}}, {{A, B, C, X(25043), X(61750)}}, {{A, B, C, X(32162), X(57128)}}, {{A, B, C, X(43767), X(44715)}}, {{A, B, C, X(44227), X(60517)}}
X(62345) = barycentric product X(i)*X(j) for these (i, j): {324, 43574}
X(62345) = barycentric quotient X(i)/X(j) for these (i, j): {2, 43767}, {4, 43766}, {6, 43918}, {53, 43917}, {3134, 53576}, {43574, 97}, {43753, 46089}
X(62345) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {5562, 13450, 56303}

X(62346) = INVERSE OF X(4) IN DUAL CONIC OF DELONGCHAMPS CIRCLE

X(62346) lies on these lines: {4, 6}, {2060, 3344}, {2323, 55063}, {3284, 39020}, {3346, 31944}, {6587, 8057}, {11064, 48373}, {15384, 23590}, {15905, 51347}, {20207, 23292}, {34569, 39008}, {59657, 59659}

X(62347) = INVERSE OF X(4) IN DUAL CONIC OF POLAR CIRCLE

X(62347) lies on these lines: {2, 62337}, {4, 69}, {99, 44874}, {394, 3284}, {520, 3265}, {3964, 14379}, {5447, 41008}, {6527, 12279}, {11695, 45198}, {13754, 40996}, {34783, 40995}, {34854, 46185}, {40647, 41005}, {51394, 52437}

X(62348) = INVERSE OF X(4) IN DUAL CONIC OF ORTHIC INCONIC

X(62348) lies on circumconic {{A, B, C, X(114), X(47389)}} and on these lines: {3, 32458}, {4, 99}, {39, 620}, {69, 34473}, {76, 6036}, {98, 3926}, {115, 1975}, {147, 32831}, {148, 32972}, {182, 38748}, {183, 38737}, {315, 38749}, {325, 2794}, {542, 5152}, {543, 33228}, {641, 48785}, {642, 48784}, {1003, 2482}, {1569, 8149}, {1692, 14645}, {1916, 7891}, {2023, 7789}, {2024, 59695}, {2396, 47200}, {2489, 2799}, {2782, 6390}, {3933, 12042}, {5026, 59552}, {5969, 59548}, {5984, 32841}, {5989, 14981}, {6054, 32837}, {6055, 32833}, {6721, 7769}, {6722, 7874}, {7750, 38747}, {7757, 60093}, {7773, 39838}, {7776, 38741}, {7782, 38736}, {7787, 10352}, {7803, 33189}, {7834, 31274}, {7835, 18906}, {9744, 21166}, {9862, 32818}, {9888, 43449}, {10722, 32816}, {10991, 32821}, {11185, 23514}, {11623, 32820}, {14061, 32955}, {14639, 32815}, {14651, 32817}, {15561, 37071}, {16925, 36849}, {19687, 35022}, {20094, 32980}, {23342, 41359}, {33191, 41134}, {36521, 50280}, {50640, 52997}

X(62348) = pole of line {3767, 55122} with respect to the polar circle
X(62348) = pole of line {5027, 9306} with respect to the Steiner inellipse
X(62348) = pole of line {3564, 6033} with respect to the Wallace hyperbola
X(62348) = pole of line {647, 2396} with respect to the dual conic of Jerabek hyperbola
X(62348) = pole of line {4, 2799} with respect to the dual conic of Orthic inconic
X(62348) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {99, 7763, 114}, {99, 8781, 4}, {6337, 46236, 99}, {9862, 32818, 54103}

X(62349) = INVERSE OF X(4) IN DUAL CONIC OF YFF PARABOLA

X(62349) lies on these lines: {4, 1086}, {7, 40065}, {19, 57}, {281, 4859}, {459, 54284}, {4346, 26003}, {5222, 5702}, {6173, 34231}, {37276, 40688}, {42697, 52288}, {48629, 55393}

X(62350) = INVERSE OF X(4) IN DUAL CONIC OF WALLACE HYPERBOLA

X(62350) lies on these lines: {3, 2416}, {4, 523}, {6, 55269}, {24, 46612}, {122, 125}, {185, 520}, {378, 46613}, {526, 17854}, {1649, 47194}, {6368, 34563}, {6587, 40138}, {6776, 9007}, {8675, 19161}, {8798, 43083}, {9003, 9409}, {11123, 57592}, {14809, 53255}, {31873, 58263}, {38401, 58378}, {39201, 46616}, {51475, 61462}

X(62351) = INVERSE OF X(5) IN 2ND BROCARD CIRCLE

X(62351) lies on these lines: {2, 3}, {6, 38582}, {523, 32519}, {691, 11842}, {1154, 38523}, {1634, 2453}, {2882, 39562}, {5476, 14811}, {10568, 13754}, {11649, 44453}, {11935, 32463}, {12188, 53273}, {20794, 47285}, {32447, 53793}, {38528, 48673}

X(62352) = INVERSE OF X(5) IN EXCIRCLES-RADICAL CIRCLE

X(62352) lies on these lines: {2, 38474}, {3, 31760}, {5, 10}, {21, 58474}, {35, 31757}, {36, 386}, {43, 484}, {143, 33862}, {181, 1319}, {513, 50493}, {515, 34458}, {519, 3032}, {573, 2077}, {936, 38483}, {1155, 2392}, {1324, 37510}, {1575, 5164}, {1682, 5048}, {2245, 23628}, {3060, 5010}, {3216, 28268}, {3567, 59331}, {3634, 22076}, {3647, 58497}, {4260, 5122}, {4640, 15049}, {4973, 8679}, {5080, 9534}, {5172, 19763}, {5180, 59296}, {5183, 10822}, {5267, 15489}, {5530, 53615}, {5752, 25440}, {6681, 50362}, {6796, 31732}, {6924, 31738}, {9566, 35000}, {9567, 22765}, {10199, 35645}, {10263, 26086}, {13391, 35203}, {18180, 58404}, {20962, 52680}, {23156, 37582}, {23157, 32636}, {31160, 48852}, {31751, 37251}, {35016, 58493}, {36754, 39582}, {37502, 41345}, {37603, 50593}

X(62352) = midpoint of X(i) and X(j) for these {i,j}: {36, 56878}
X(62352) = reflection of X(i) in X(j) for these {i,j}: {3814, 38472}, {50362, 6681}
X(62352) = inverse of X(10) in Apollonius circle
X(62352) = inverse of X(5) in excircles-radical circle
X(62352) = inverse of X(39583) in nine-point circle
X(62352) = inverse of X(39564) in Spieker circle
X(62352) = complement of X(38474)
X(62352) = pole of line {10, 513} with respect to the Apollonius circle
X(62352) = pole of line {5, 513} with respect to the excircles-radical circle
X(62352) = pole of line {513, 39583} with respect to the nine-point circle
X(62352) = pole of line {513, 39564} with respect to the Spieker circle
X(62352) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {517, 38472, 3814}, {2540, 2541, 39505}, {5752, 25440, 31737}, {22300, 34466, 25639}

X(62353) = INVERSE OF X(5) IN 1ST LEMOINE CIRCLE

X(62353) lies on these lines: {5, 182}, {32, 6403}, {115, 19128}, {511, 14676}, {525, 39518}, {1691, 2079}, {2456, 45016}, {3398, 5938}, {3734, 19131}, {5034, 34137}, {6248, 19129}, {10358, 62368}, {10359, 60467}, {37912, 41274}

X(62354) = INVERSE OF X(5) IN FUHRMANN CIRCLE

X(62354) lies on circumconic {{A, B, C, X(1807), X(11604)}} and on these lines: {1, 5}, {2, 22935}, {3, 10265}, {4, 2771}, {8, 6902}, {10, 12331}, {30, 1768}, {100, 1006}, {104, 411}, {140, 15015}, {149, 517}, {153, 6583}, {214, 5794}, {381, 21635}, {392, 37162}, {498, 41541}, {515, 12747}, {516, 48680}, {528, 3654}, {938, 58587}, {944, 6960}, {946, 48667}, {1001, 5790}, {1385, 5086}, {1454, 12832}, {1478, 17660}, {1479, 17638}, {1482, 21630}, {1656, 59419}, {1698, 61562}, {1737, 5172}, {1836, 11571}, {2475, 5885}, {2476, 39778}, {2551, 58659}, {2800, 10738}, {2801, 5805}, {2802, 19914}, {2829, 5787}, {2932, 57287}, {2949, 6598}, {2950, 33899}, {3576, 61566}, {3579, 13199}, {3583, 14988}, {3585, 24475}, {3652, 37290}, {3655, 11715}, {3656, 10698}, {5046, 5694}, {5047, 38665}, {5289, 12645}, {5450, 35451}, {5499, 13146}, {5506, 34352}, {5541, 5690}, {5657, 20095}, {5728, 45043}, {5791, 51506}, {5812, 12691}, {5840, 12515}, {5844, 12653}, {5851, 31672}, {5902, 56790}, {6259, 12761}, {6702, 38752}, {6713, 10609}, {6797, 18391}, {6842, 33858}, {6850, 45084}, {6882, 44669}, {6911, 61717}, {6914, 46816}, {6917, 10044}, {6923, 60896}, {6924, 14804}, {6928, 49168}, {6929, 10051}, {6971, 22836}, {7548, 33592}, {9802, 12245}, {9945, 38760}, {9963, 34474}, {10058, 12743}, {10074, 18976}, {10090, 20118}, {10176, 15863}, {10246, 33337}, {10525, 17654}, {10526, 12649}, {10572, 37564}, {10573, 17636}, {10728, 13243}, {10916, 22560}, {10941, 18517}, {11015, 26086}, {11219, 12119}, {11499, 57278}, {11570, 13273}, {12248, 28160}, {12332, 12616}, {12532, 58798}, {12551, 48899}, {12611, 59391}, {12758, 13274}, {12767, 41869}, {12877, 22936}, {13226, 38761}, {13253, 22791}, {13911, 35882}, {13973, 35883}, {14795, 18395}, {15694, 50844}, {17661, 18516}, {18341, 36154}, {18525, 22753}, {19925, 38755}, {22938, 34789}, {24914, 38722}, {31673, 38756}, {31870, 37230}, {33812, 37624}, {33814, 59331}, {35004, 52367}, {35852, 35857}, {35853, 35856}, {38133, 38762}, {52835, 54159}, {54304, 59339}

X(62354) = midpoint of X(i) and X(j) for these {i,j}: {4, 9803}, {80, 49176}, {149, 12247}, {944, 20085}, {5881, 7993}, {6264, 9897}, {9802, 12245}, {10728, 13243}, {12747, 12773}, {12767, 41869}
X(62354) = reflection of X(i) in X(j) for these {i,j}: {1, 1484}, {100, 12619}, {119, 12019}, {153, 18480}, {1482, 21630}, {10609, 6713}, {10742, 6246}, {11698, 61553}, {12119, 38602}, {12331, 10}, {12332, 12616}, {12699, 10738}, {12737, 37726}, {12738, 119}, {13146, 5499}, {13199, 3579}, {13253, 22791}, {16128, 4}, {16159, 11604}, {18481, 104}, {2950, 33899}, {22560, 10916}, {22791, 61601}, {3, 10265}, {355, 80}, {381, 50889}, {3656, 10707}, {34789, 22938}, {37727, 12737}, {38756, 31673}, {38761, 13226}, {48667, 946}, {5531, 11698}, {5541, 5690}, {6224, 1385}, {6259, 12761}, {6265, 11}, {6326, 5}
X(62354) = inverse of X(5) in Fuhrmann circle
X(62354) = anticomplement of X(22935)
X(62354) = X(i)-Dao conjugate of X(j) for these {i, j}: {22935, 22935}
X(62354) = pole of line {5, 900} with respect to the Fuhrmann circle
X(62354) = pole of line {8674, 44428} with respect to the polar circle
X(62354) = pole of line {900, 8068} with respect to the Suppa-Cucoanes circle
X(62354) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4, 2771, 16128}, {4, 9803, 2771}, {5, 952, 6326}, {11, 10073, 5722}, {11, 6265, 5886}, {11, 952, 6265}, {80, 10073, 11}, {80, 12750, 10057}, {80, 37702, 37718}, {80, 53616, 1837}, {80, 952, 355}, {100, 12619, 26446}, {119, 952, 12738}, {149, 12247, 517}, {355, 61287, 5252}, {952, 11698, 5531}, {952, 12019, 119}, {952, 12737, 37727}, {952, 1484, 1}, {952, 37726, 12737}, {2771, 11604, 16159}, {2800, 10738, 12699}, {2801, 6246, 10742}, {5531, 5587, 11698}, {5533, 12740, 11373}, {5881, 7993, 952}, {6326, 37718, 5}, {8068, 12739, 11374}, {10057, 12750, 1317}, {11219, 12119, 38602}, {11570, 13273, 57282}, {11698, 61553, 5587}, {12019, 12738, 61261}, {12747, 12773, 515}, {16173, 19907, 61276}, {48667, 51517, 946}

X(62355) = INVERSE OF X(5) IN GALLATLY CIRCLE

X(62355) lies on these lines: {5, 39}, {32, 1916}, {98, 32452}, {542, 62331}, {1692, 51828}, {2021, 32456}, {2548, 32528}, {3199, 32527}, {5013, 35464}, {5939, 46305}, {5976, 7749}, {7756, 38642}, {11152, 18546}, {12042, 46283}, {12829, 46313}, {23698, 62366}, {31981, 46236}

X(62356) = INVERSE OF X(5) IN MOSES CIRCLE

X(62356) lies on these lines: {5, 39}, {6, 38732}, {30, 10631}, {32, 6321}, {98, 7748}, {99, 7746}, {148, 3552}, {187, 23698}, {542, 1570}, {543, 5215}, {546, 12830}, {574, 38224}, {620, 59635}, {671, 3407}, {2241, 13183}, {2242, 13182}, {2549, 14651}, {2854, 61339}, {3053, 38733}, {3291, 62298}, {5007, 38734}, {5028, 11646}, {5034, 6034}, {5149, 11185}, {5186, 27371}, {5206, 38730}, {5286, 32528}, {5305, 61600}, {5475, 14639}, {5477, 5480}, {5939, 19687}, {6036, 37512}, {7739, 41135}, {7747, 12829}, {7749, 33813}, {7756, 12042}, {7802, 36864}, {7864, 14061}, {8588, 38731}, {8589, 38737}, {8724, 18362}, {9651, 10069}, {9664, 10053}, {9880, 14537}, {11632, 11648}, {12188, 43183}, {13188, 13881}, {14568, 39652}, {15513, 38738}, {15515, 38739}, {20398, 31652}, {27376, 32527}, {35464, 44531}, {36523, 39593}, {43448, 43449}

X(62356) = midpoint of X(i) and X(j) for these {i,j}: {148, 5152}
X(62356) = inverse of X(5) in Moses circle
X(62356) = inverse of X(39565) in nine-point circle
X(62356) = pole of line {5, 804} with respect to the Moses circle
X(62356) = pole of line {804, 39565} with respect to the nine-point circle
X(62356) = pole of line {511, 22515} with respect to the Kiepert hyperbola
X(62356) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {114, 115, 39565}, {115, 1506, 61576}, {115, 1569, 5}, {115, 7765, 2023}, {12829, 22515, 7747}

X(62357) = INVERSE OF X(5) IN SPIEKER CIRCLE

X(62357) lies on these lines: {2, 5570}, {3, 32159}, {5, 10}, {9, 2077}, {36, 936}, {72, 18838}, {210, 956}, {484, 8580}, {515, 46694}, {518, 15325}, {519, 51380}, {535, 58699}, {912, 3035}, {1698, 53615}, {1737, 51379}, {3660, 3678}, {3880, 11545}, {4662, 33956}, {5048, 25917}, {5122, 15481}, {5193, 57279}, {5440, 51506}, {5538, 30393}, {5705, 31263}, {5777, 18232}, {5887, 37828}, {6001, 18254}, {10199, 12915}, {11260, 25405}, {12447, 58636}, {12514, 13528}, {13750, 27529}, {14454, 31659}, {14740, 44675}, {17647, 58631}, {17658, 45700}, {18229, 38474}, {18839, 24954}, {18857, 32153}, {24433, 60415}, {28204, 58659}, {28534, 58634}, {30384, 51378}, {31777, 58637}, {31803, 58660}, {31835, 47742}, {32760, 42012}, {35459, 51572}, {40663, 41389}, {44547, 59719}

X(62357) = midpoint of X(i) and X(j) for these {i,j}: {36, 17615}, {72, 18838}, {1737, 51379}, {3678, 6681}, {5044, 58641}, {14740, 44675}, {25405, 34790}, {30384, 51378}, {40663, 41389}
X(62357) = reflection of X(i) in X(j) for these {i,j}: {3660, 6681}
X(62357) = inverse of X(5) in Spieker circle
X(62357) = complement of X(5570)
X(62357) = pole of line {5, 513} with respect to the Spieker circle
X(62357) = pole of line {4391, 17776} with respect to the Steiner inellipse
X(62357) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {960, 3740, 3820}, {1329, 2886, 60769}, {5044, 58630, 960}, {5044, 58641, 517}, {5044, 58648, 10176}, {5044, 58649, 10}

X(62358) = INVERSE OF X(5) IN TANGENTIAL CIRCLE

X(62358) lies on these lines: {2, 3}, {2079, 62369}, {2917, 6102}, {5012, 7730}, {9920, 45731}, {10117, 15101}, {12899, 45044}, {14157, 15100}, {15112, 19651}, {19468, 32136}, {39522, 48914}, {43845, 44515}

X(62359) = INVERSE OF X(5) IN EXCENTRAL-HEXYL ELLIPSE

X(62359) lies on these lines: {2, 3}, {11, 41345}, {35, 17605}, {36, 28160}, {40, 33539}, {55, 18393}, {56, 36975}, {100, 5180}, {104, 28186}, {399, 34465}, {515, 12747}, {516, 35000}, {517, 3689}, {529, 48713}, {581, 45931}, {946, 37621}, {952, 62318}, {962, 32141}, {970, 12162}, {971, 60989}, {1155, 1727}, {1376, 10176}, {1437, 37472}, {1465, 18455}, {1482, 11500}, {1490, 37532}, {1621, 38034}, {1699, 32613}, {1745, 23070}, {1768, 41347}, {1864, 37582}, {1936, 23071}, {2077, 15017}, {2078, 7743}, {2320, 14496}, {2635, 52407}, {2771, 5535}, {2829, 35451}, {2949, 5777}, {3065, 5131}, {3216, 52100}, {3336, 61722}, {3337, 26201}, {3428, 5659}, {3521, 34435}, {3582, 41341}, {3583, 5172}, {3585, 37564}, {3652, 31871}, {3683, 5506}, {3746, 4870}, {3913, 4930}, {4265, 48901}, {4428, 50806}, {4833, 6003}, {4996, 22799}, {5080, 38755}, {5096, 29012}, {5204, 15446}, {5206, 44542}, {5251, 38140}, {5260, 61259}, {5284, 61269}, {5396, 45923}, {5537, 28198}, {5538, 22935}, {5691, 26286}, {5720, 37584}, {5752, 18436}, {5806, 24299}, {5841, 10742}, {5842, 10738}, {5885, 16132}, {6265, 35457}, {6796, 11849}, {7082, 58887}, {7680, 59382}, {7688, 11231}, {7965, 21155}, {8069, 9668}, {8071, 9655}, {8715, 34647}, {9342, 61614}, {9654, 26357}, {9669, 37579}, {9955, 10902}, {9956, 59320}, {10090, 15326}, {10246, 22753}, {10267, 18493}, {10620, 33811}, {10680, 18526}, {10724, 38722}, {10896, 36152}, {11012, 18480}, {11230, 15931}, {11248, 48661}, {11249, 18525}, {11491, 22791}, {11499, 12702}, {11502, 36279}, {12433, 57283}, {12645, 18518}, {12684, 56889}, {12943, 14793}, {12953, 59334}, {13465, 31803}, {13474, 15489}, {16139, 20117}, {17080, 37729}, {18481, 37535}, {20085, 28224}, {23961, 28168}, {24703, 25440}, {26200, 37563}, {26285, 41869}, {28178, 33814}, {28182, 34474}, {28190, 38602}, {31479, 40292}, {31828, 48668}, {31870, 33858}, {33596, 40262}, {34466, 46623}, {34486, 51709}, {34707, 34741}, {36750, 37530}, {37509, 37732}, {37524, 61709}, {37533, 52026}, {37612, 41854}, {37623, 40263}, {38039, 40273}, {38588, 56423}, {38945, 51236}, {39565, 44517}, {40266, 59318}, {45924, 45944}, {60922, 61011}

X(62359) = reflection of X(i) in X(j) for these {i,j}: {1768, 41347}, {12331, 18524}, {12773, 22765}, {18524, 44425}, {3, 6905}, {35457, 6265}, {38753, 15326}, {5538, 22935}, {6840, 5}
X(62359) = inverse of X(5) in excentral-hexyl ellipse
X(62359) = pole of line {5, 6003} with respect to the excentral-hexyl ellipse
X(62359) = pole of line {185, 13743} with respect to the Jerabek hyperbola
X(62359) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(28), X(34431)}}, {{A, B, C, X(68), X(6903)}}, {{A, B, C, X(265), X(6840)}}, {{A, B, C, X(1105), X(13743)}}, {{A, B, C, X(2475), X(3521)}}, {{A, B, C, X(3520), X(34435)}}, {{A, B, C, X(4846), X(6951)}}, {{A, B, C, X(6853), X(34800)}}, {{A, B, C, X(6952), X(43724)}}, {{A, B, C, X(14861), X(37163)}}
X(62359) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 16408, 15720}, {3, 381, 7489}, {3, 3830, 1012}, {3, 3843, 3560}, {3, 3851, 405}, {3, 4, 13743}, {3, 5055, 6883}, {3, 6918, 3526}, {4, 6888, 16160}, {4, 6960, 5}, {4, 6962, 6862}, {4, 6980, 381}, {5, 30, 6840}, {140, 16160, 6888}, {140, 3651, 3}, {517, 18524, 12331}, {517, 44425, 18524}, {1532, 6909, 6913}, {3149, 7580, 6911}, {3428, 18491, 5790}, {3651, 6915, 140}, {3845, 7508, 6912}, {3850, 5428, 6920}, {5691, 26286, 26321}, {6796, 12699, 11849}, {6848, 6869, 6928}, {6849, 6988, 6861}, {6851, 6927, 6958}, {6911, 6985, 7580}, {6946, 7411, 549}, {12747, 22775, 12773}, {14782, 14783, 6884}, {14784, 14785, 6903}, {18518, 22770, 12645}

X(62360) = INVERSE OF X(5) IN MACBEATH CIRCUMCONIC

X(62360) lies on these lines: {5, 6}, {49, 216}, {50, 13754}, {53, 14516}, {110, 11062}, {195, 9222}, {394, 62338}, {523, 32320}, {539, 1989}, {566, 1147}, {577, 18436}, {1993, 41244}, {2931, 18578}, {3003, 41615}, {3284, 22146}, {5201, 52170}, {6288, 36412}, {8553, 19908}, {9220, 9927}, {11063, 32661}, {11411, 46262}, {17845, 17849}, {19357, 36751}, {23236, 52945}, {41335, 41597}, {44665, 53416}, {45793, 57875}, {50433, 50461}, {52703, 54375}, {56308, 61363}

X(62360) = inverse of X(5) in MacBeath circumconic
X(62360) = perspector of circumconic {{A, B, C, X(925), X(40448)}}
X(62360) = X(i)-Dao conjugate of X(j) for these {i, j}: {22115, 323}
X(62360) = X(i)-Ceva conjugate of X(j) for these {i, j}: {94, 3}, {39431, 418}
X(62360) = pole of line {418, 34952} with respect to the circumcircle
X(62360) = pole of line {3566, 34965} with respect to the nine-point circle
X(62360) = pole of line {52280, 57065} with respect to the polar circle
X(62360) = pole of line {512, 34985} with respect to the Johnson circumconic
X(62360) = pole of line {5, 523} with respect to the MacBeath circumconic
X(62360) = pole of line {38401, 56290} with respect to the Steiner circumellipse
X(62360) = pole of line {523, 14896} with respect to the dual conic of DeLongchamps circle
X(62360) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5), X(44174)}}, {{A, B, C, X(2165), X(34433)}}
X(62360) = barycentric quotient X(i)/X(j) for these (i, j): {56308, 6801}
X(62360) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {10665, 10666, 14852}

X(62361) = INVERSE OF X(5) IN ORTHIC INCONIC

X(62361) lies on these lines: {5, 6}, {96, 12241}, {115, 62335}, {154, 39111}, {187, 52975}, {297, 30450}, {343, 39116}, {570, 43817}, {686, 2501}, {925, 32269}, {1879, 12162}, {3003, 39021}, {3580, 52504}, {5392, 13567}, {5962, 18877}, {8906, 17834}, {12301, 60775}, {14593, 17810}, {18374, 32734}, {22466, 57703}, {26958, 52350}, {32132, 37498}, {32692, 53930}, {37802, 47296}

X(62362) = INVERSE OF X(5) IN WALLACE HYPERBOLA

X(62362) lies on these lines: {2, 7765}, {3, 7809}, {5, 99}, {17, 630}, {18, 629}, {20, 7694}, {39, 16984}, {54, 69}, {76, 3526}, {83, 620}, {140, 7799}, {183, 55863}, {298, 22845}, {299, 22844}, {302, 33387}, {303, 33386}, {315, 15717}, {316, 548}, {325, 3530}, {382, 7782}, {384, 41134}, {492, 9680}, {524, 51237}, {532, 37008}, {533, 37007}, {538, 16923}, {543, 51238}, {549, 7768}, {574, 7899}, {597, 7807}, {632, 32820}, {671, 32967}, {1007, 3528}, {1125, 38222}, {1657, 48913}, {1975, 5070}, {2482, 16044}, {2549, 33277}, {3096, 33258}, {3523, 7811}, {3525, 32833}, {3589, 38232}, {3618, 39142}, {3628, 38231}, {3663, 17322}, {3785, 61816}, {3788, 7876}, {3855, 34803}, {3926, 55864}, {3933, 61837}, {5013, 7919}, {5023, 7926}, {5024, 7942}, {5032, 32989}, {5054, 32821}, {5067, 6337}, {5319, 7857}, {6179, 15534}, {6390, 16239}, {6673, 44032}, {6674, 44030}, {6680, 51860}, {6683, 16896}, {6787, 58211}, {7486, 11185}, {7603, 52886}, {7618, 14063}, {7622, 7883}, {7750, 44682}, {7757, 33233}, {7758, 33206}, {7759, 33274}, {7760, 7907}, {7764, 33259}, {7767, 61821}, {7771, 7917}, {7773, 15696}, {7775, 33014}, {7776, 61799}, {7783, 14061}, {7786, 24256}, {7788, 15720}, {7790, 33248}, {7797, 31274}, {7801, 33015}, {7803, 33222}, {7812, 32964}, {7816, 17005}, {7818, 33022}, {7821, 33273}, {7824, 7849}, {7827, 12040}, {7828, 9607}, {7829, 9167}, {7832, 12055}, {7835, 16898}, {7839, 58448}, {7843, 33276}, {7846, 31400}, {7847, 44377}, {7856, 32970}, {7858, 12156}, {7870, 11285}, {7871, 61818}, {7877, 21843}, {7878, 11288}, {7880, 10159}, {7884, 22332}, {7885, 8589}, {7891, 31455}, {7900, 8588}, {7901, 31652}, {7910, 53095}, {7911, 7925}, {7912, 15515}, {7934, 15815}, {7941, 15513}, {7945, 15482}, {7947, 32027}, {8176, 14066}, {8357, 41133}, {9166, 33249}, {9765, 10997}, {9772, 10486}, {10303, 32837}, {11184, 33235}, {12006, 51383}, {12150, 16925}, {14043, 44562}, {14062, 34504}, {14064, 52691}, {14144, 16626}, {14145, 16627}, {14558, 37814}, {14568, 59546}, {14869, 37671}, {14907, 61138}, {14981, 52034}, {18354, 40410}, {18553, 37334}, {18972, 22904}, {18973, 22859}, {20399, 37336}, {21734, 32816}, {22843, 44666}, {22848, 44029}, {22860, 22910}, {22862, 31705}, {22865, 22905}, {22890, 44667}, {22892, 44031}, {22906, 31706}, {23234, 37243}, {26686, 31462}, {31173, 33267}, {31407, 32973}, {31467, 60855}, {31470, 32954}, {32006, 62066}, {32815, 32871}, {32825, 61820}, {32831, 61842}, {32832, 61867}, {32836, 61856}, {32887, 61788}, {33000, 34511}, {33024, 52695}, {37688, 61853}, {40341, 55813}, {46951, 61863}, {48154, 59635}, {51581, 53109}, {52250, 53142}, {55729, 55806}, {55731, 55804}, {55733, 55803}, {55734, 55802}, {55743, 55799}, {55744, 55798}, {55746, 55797}, {55749, 55794}, {55753, 55793}, {55755, 55792}, {55757, 55791}, {55759, 55789}, {55772, 55787}, {55773, 55786}, {55774, 55784}, {55776, 55782}, {55778, 55780}, {55810, 55825}, {55815, 55819}

X(62362) = midpoint of X(i) and X(j) for these {i,j}: {627, 628}, {12815, 51587}
X(62362) = reflection of X(i) in X(j) for these {i,j}: {17, 630}, {18, 629}, {43676, 50570}, {50570, 12815}
X(62362) = inverse of X(5) in Wallace hyperbola
X(62362) = complement of X(50570)
X(62362) = anticomplement of X(12815)
X(62362) = X(i)-isoconjugate-of-X(j) for these {i, j}: {923, 13412}
X(62362) = X(i)-Dao conjugate of X(j) for these {i, j}: {2482, 13412}, {12815, 12815}
X(62362) = pole of line {3552, 32478} with respect to the 1st Brocard circle
X(62362) = pole of line {3631, 5111} with respect to the Kiepert hyperbola
X(62362) = pole of line {51, 35007} with respect to the Stammler hyperbola
X(62362) = pole of line {32478, 41298} with respect to the Steiner circumellipse
X(62362) = pole of line {14610, 32478} with respect to the Steiner inellipse
X(62362) = pole of line {5, 3629} with respect to the Wallace hyperbola
X(62362) = pole of line {7809, 60597} with respect to the dual conic of Orthic inconic
X(62362) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5), X(5965)}}, {{A, B, C, X(54), X(5966)}}, {{A, B, C, X(95), X(43676)}}
X(62362) = barycentric product X(i)*X(j) for these (i, j): {55038, 76}
X(62362) = barycentric quotient X(i)/X(j) for these (i, j): {524, 13412}, {55038, 6}
X(62362) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 50570, 12815}, {2, 51587, 43676}, {620, 9698, 33225}, {627, 628, 5965}, {631, 7763, 7796}, {631, 7796, 1078}, {3788, 31457, 7876}, {5013, 7940, 7919}, {5319, 33262, 7857}, {7622, 7888, 33004}, {7786, 33217, 55767}, {7824, 7909, 31168}, {7888, 33004, 7883}, {7925, 37512, 7911}, {9698, 33225, 83}, {31492, 33217, 7786}

X(62363) = INVERSE OF X(5) IN DUAL CONIC OF STAMMLER HYPERBOLA

X(62363) lies on these lines: {2, 525}, {5, 850}, {76, 3265}, {264, 523}, {339, 2972}, {458, 53173}, {647, 52289}, {4230, 42733}, {14380, 44134}, {37688, 40550}

X(62364) = INVERSE OF X(5) IN DUAL CONIC OF WALLACE HYPERBOLA

X(62364) lies on these lines: {2, 46616}, {4, 46608}, {5, 523}, {30, 14809}, {54, 57210}, {125, 526}, {140, 62173}, {520, 5449}, {924, 20299}, {1209, 57128}, {1510, 18488}, {1594, 62172}, {8057, 20302}, {8068, 62329}, {8675, 24206}, {9003, 20301}, {9033, 33547}, {9722, 45801}, {11585, 38401}, {16171, 25641}, {16868, 18808}, {20300, 39511}, {39509, 55121}

X(62365) = INVERSE OF X(6) IN 2ND DROZ-FARNY CIRCLE

X(62365) lies on these lines: {3, 6}, {132, 403}, {230, 53795}, {441, 11746}, {3849, 52069}, {5140, 37197}, {5148, 9627}, {7505, 38227}, {8721, 12283}, {10991, 34146}, {13417, 52144}, {13558, 42671}, {14693, 44452}, {14981, 34382}, {16072, 31173}, {31726, 38953}, {35282, 44084}, {47336, 53793}

X(62366) = INVERSE OF X(6) IN GALLATLY CIRCLE

X(62366) lies on circumconic {{A, B, C, X(249), X(35424)}} and on these lines: {3, 6}, {5, 39266}, {30, 38642}, {76, 37466}, {114, 736}, {237, 57257}, {262, 316}, {538, 8724}, {1513, 2782}, {1916, 11676}, {2023, 15980}, {3399, 7824}, {3849, 44422}, {5167, 32484}, {5969, 37461}, {5976, 6390}, {6234, 16068}, {6248, 32189}, {6656, 11272}, {7697, 37071}, {7709, 37182}, {7807, 14693}, {12176, 39089}, {12251, 16925}, {13449, 37243}, {15561, 51373}, {15819, 58448}, {23698, 62355}, {26613, 33706}, {32520, 35700}, {32521, 38230}, {36212, 47638}, {37450, 40108}, {37927, 53793}

X(62366) = midpoint of X(i) and X(j) for these {i,j}: {1916, 11676}, {2080, 3095}
X(62366) = reflection of X(i) in X(j) for these {i,j}: {13354, 2030}, {15980, 2023}, {18860, 13334}, {2456, 2024}, {3, 2021}, {39266, 5}, {49111, 14693}, {5188, 47113}, {5976, 37459}
X(62366) = inverse of X(35424) in circumcircle
X(62366) = inverse of X(6) in Gallatly circle
X(62366) = inverse of X(50685) in Stammler circle
X(62366) = X(i)-vertex conjugate of X(j) for these {i, j}: {512, 35424}
X(62366) = pole of line {512, 35424} with respect to the circumcircle
X(62366) = pole of line {6, 512} with respect to the Gallatly circle
X(62366) = pole of line {512, 50685} with respect to the Stammler circle
X(62366) = pole of line {2, 12176} with respect to the Stammler hyperbola
X(62366) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 32447, 3094}, {511, 13334, 18860}, {511, 2024, 2456}, {511, 2030, 13354}, {511, 47113, 5188}, {1351, 32447, 3095}, {1379, 1380, 35424}, {2026, 2027, 6}, {2080, 3095, 511}, {5024, 9301, 35002}, {13334, 55674, 21163}, {18860, 52992, 3}, {32515, 37459, 5976}, {38596, 38597, 50685}

X(62367) = INVERSE OF X(6) IN HALF MOSES CIRCLE

X(62367) lies on these lines: {2, 54751}, {3, 6}, {76, 32970}, {99, 39095}, {194, 32989}, {230, 538}, {232, 2971}, {316, 7736}, {625, 3815}, {2023, 53419}, {2275, 5194}, {2276, 5148}, {2548, 13449}, {2782, 10011}, {3054, 3934}, {3055, 6683}, {3148, 44116}, {3229, 59559}, {3231, 36212}, {3291, 9155}, {3849, 8354}, {5106, 59707}, {5167, 43718}, {5184, 9575}, {5215, 11165}, {5286, 38227}, {5305, 14693}, {5969, 32459}, {6248, 43620}, {7709, 9743}, {7735, 7757}, {7737, 44422}, {7786, 14064}, {7813, 15993}, {7867, 44540}, {7913, 31275}, {9466, 37637}, {10008, 32451}, {11257, 43448}, {11672, 39010}, {14712, 37665}, {14981, 53475}, {16306, 40544}, {21849, 41278}, {34511, 41622}, {35298, 39024}, {45141, 58309}, {47406, 52067}

X(62367) = midpoint of X(i) and X(j) for these {i,j}: {39, 2021}
X(62367) = reflection of X(i) in X(j) for these {i,j}: {187, 50370}
X(62367) = inverse of X(35439) in Gallatly circle
X(62367) = inverse of X(6) in half Moses circle
X(62367) = pole of line {512, 35439} with respect to the Gallatly circle
X(62367) = pole of line {6, 512} with respect to the half Moses circle
X(62367) = pole of line {647, 5652} with respect to the Steiner inellipse
X(62367) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(54751)}}, {{A, B, C, X(32), X(60263)}}, {{A, B, C, X(111), X(2031)}}, {{A, B, C, X(512), X(5033)}}, {{A, B, C, X(3431), X(35387)}}, {{A, B, C, X(5028), X(41440)}}, {{A, B, C, X(10542), X(17042)}}, {{A, B, C, X(31884), X(41517)}}
X(62367) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 187, 2031}, {39, 2021, 511}, {39, 21163, 3094}, {39, 5052, 32447}, {187, 2021, 50370}, {187, 5107, 9301}, {511, 50370, 187}, {574, 5033, 3}, {1691, 5013, 18860}, {1692, 5033, 2030}, {2021, 2024, 13357}, {2026, 2027, 35439}, {2080, 9605, 1570}

X(62368) = INVERSE OF X(6) IN CIRCUMCIRCLE OF THE JOHNSON TRIANGLE

X(62368) lies on these lines: {4, 6}, {297, 56924}, {325, 3153}, {381, 5938}, {2794, 10317}, {3095, 31724}, {6033, 18403}, {7574, 35002}, {7778, 18531}, {10358, 62353}, {15760, 54060}, {18434, 54124}, {18438, 54393}, {39118, 54076}, {41613, 53569}, {45158, 58312}, {45921, 47339}

X(62369) = INVERSE OF X(6) IN TANGENTIAL CIRCLE

X(62369) lies on these lines: {6, 26}, {22, 6032}, {24, 50718}, {111, 62291}, {112, 37932}, {115, 2070}, {1560, 21284}, {2079, 62358}, {2937, 7747}, {2963, 21394}, {5023, 21397}, {7575, 49123}, {9697, 44515}

X(62370) = INVERSE OF X(6) IN DELONGCHAMPS ELLIPSE

X(62370) lies on these lines: {1, 6}, {32, 24928}, {39, 9957}, {101, 47622}, {106, 5011}, {115, 7743}, {169, 54319}, {172, 20323}, {187, 5126}, {230, 44675}, {517, 1015}, {665, 4083}, {910, 9259}, {999, 1572}, {1149, 2170}, {1201, 41015}, {1319, 1415}, {1385, 2241}, {1420, 3053}, {1500, 31792}, {1575, 3880}, {1697, 5013}, {2242, 51788}, {2275, 3057}, {2276, 5919}, {3295, 9619}, {3304, 54382}, {3684, 47623}, {3767, 11373}, {3815, 31397}, {3912, 25125}, {3959, 52541}, {4051, 16605}, {5024, 31433}, {5119, 31443}, {5252, 9599}, {5254, 12053}, {5836, 16604}, {5903, 9336}, {6647, 53602}, {7032, 11997}, {7187, 41774}, {7738, 9785}, {7745, 10106}, {9574, 9819}, {9580, 44526}, {9592, 31393}, {9597, 12701}, {9614, 44518}, {9651, 22793}, {9665, 18480}, {10987, 37600}, {13881, 50443}, {15815, 61763}, {17316, 30829}, {18156, 30090}, {18161, 28022}, {21138, 57033}, {22332, 31426}, {27918, 43037}, {31434, 31489}, {31436, 31492}, {33854, 38460}, {33891, 59513}, {33930, 41793}, {33946, 41794}, {34371, 57037}, {35445, 53095}, {37542, 54317}

X(62370) = midpoint of X(i) and X(j) for these {i,j}: {33946, 41794}
X(62370) = reflection of X(i) in X(j) for these {i,j}: {21138, 57033}
X(62370) = inverse of X(6) in DeLongchamps ellipse
X(62370) = perspector of circumconic {{A, B, C, X(100), X(9309)}}
X(62370) = X(i)-Dao conjugate of X(j) for these {i, j}: {5121, 40875}
X(62370) = pole of line {667, 7083} with respect to the circumcircle
X(62370) = pole of line {6, 4083} with respect to the DeLongchamps ellipse
X(62370) = pole of line {55, 23196} with respect to the Feuerbach hyperbola
X(62370) = pole of line {650, 2275} with respect to the Steiner inellipse
X(62370) = pole of line {100, 48329} with respect to the Hutson-Moses hyperbola
X(62370) = pole of line {142, 58467} with respect to the dual conic of Yff parabola
X(62370) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(5121)}}, {{A, B, C, X(8), X(34807)}}
X(62370) = barycentric product X(i)*X(j) for these (i, j): {1, 5121}
X(62370) = barycentric quotient X(i)/X(j) for these (i, j): {5121, 75}
X(62370) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1149, 2170, 3290}, {2087, 3230, 43065}, {4051, 21214, 16605}, {9592, 31393, 31477}, {30556, 30557, 34807}, {40133, 45219, 2176}

X(62371) = INVERSE OF X(6) IN EXCENTRAL-HEXYL ELLIPSE

X(62371) lies on these lines: {2, 54821}, {3, 6}, {30, 34460}, {36, 13006}, {37, 10165}, {40, 2275}, {104, 5291}, {115, 6882}, {140, 16589}, {172, 37561}, {214, 6184}, {232, 37305}, {355, 1574}, {515, 1575}, {517, 1015}, {604, 22071}, {631, 5283}, {672, 7117}, {946, 16604}, {952, 52959}, {992, 1765}, {1107, 6684}, {1155, 43039}, {1158, 39248}, {1194, 19649}, {1196, 16434}, {1385, 1500}, {1450, 37575}, {1506, 6842}, {1572, 3359}, {1573, 26446}, {1737, 53561}, {1766, 17053}, {1914, 2077}, {1939, 41006}, {2238, 58036}, {2241, 11248}, {2242, 10269}, {2276, 3576}, {2548, 6850}, {2549, 6827}, {3148, 44121}, {3767, 6891}, {3815, 6907}, {4129, 6002}, {4426, 5450}, {5088, 43063}, {5254, 6922}, {5277, 6940}, {5286, 6926}, {5299, 59326}, {5475, 6923}, {5537, 16784}, {5657, 16975}, {5731, 17756}, {5882, 20691}, {6825, 31401}, {6863, 31455}, {6865, 7738}, {6908, 31400}, {6909, 33854}, {6916, 7736}, {6928, 7748}, {6948, 7737}, {6958, 7746}, {6971, 39565}, {6978, 43620}, {6980, 7603}, {6982, 31415}, {7491, 7756}, {7745, 31775}, {7753, 28458}, {8962, 16440}, {9331, 30392}, {9336, 11531}, {9346, 44414}, {9575, 37560}, {9592, 30503}, {9620, 37611}, {9651, 10526}, {9665, 10525}, {9698, 37401}, {10267, 31451}, {10268, 31421}, {10306, 16781}, {10310, 16502}, {11362, 17448}, {11998, 40663}, {14936, 43065}, {15048, 37364}, {21477, 25934}, {21495, 36212}, {21868, 47745}, {22055, 52426}, {22132, 52410}, {22350, 52635}, {24598, 37416}, {25002, 26960}, {25066, 59579}, {26487, 31501}, {28245, 51558}, {31406, 37424}, {31429, 61122}, {37586, 52428}, {43053, 45270}, {54382, 59333}

X(62371) = inverse of X(6) in excentral-hexyl ellipse
X(62371) = pole of line {2092, 4129} with respect to the excircles-radical circle
X(62371) = pole of line {512, 23668} with respect to the Moses circle
X(62371) = pole of line {512, 23668} with respect to the Brocard inellipse
X(62371) = pole of line {6, 6002} with respect to the excentral-hexyl ellipse
X(62371) = pole of line {5, 17197} with respect to the Kiepert hyperbola
X(62371) = pole of line {647, 2292} with respect to the Steiner inellipse
X(62371) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3), X(26020)}}, {{A, B, C, X(6), X(54821)}}, {{A, B, C, X(3431), X(47038)}}
X(62371) = barycentric product X(i)*X(j) for these (i, j): {26020, 3}
X(62371) = barycentric quotient X(i)/X(j) for these (i, j): {26020, 264}
X(62371) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {570, 5124, 18591}, {572, 50650, 2092}

X(62372) = INVERSE OF X(6) IN FEUERBACH HYPERBOLA

X(62372) lies on these lines: {6, 11}, {9, 1936}, {19, 25}, {32, 62333}, {41, 2654}, {171, 1709}, {172, 22760}, {212, 59207}, {218, 10395}, {219, 3686}, {220, 21677}, {222, 226}, {333, 27540}, {350, 28934}, {497, 5276}, {607, 46835}, {946, 56913}, {999, 11998}, {1012, 1415}, {1107, 10966}, {1837, 54416}, {2238, 61397}, {2242, 53561}, {2276, 11502}, {2286, 51424}, {2548, 26476}, {3509, 24430}, {4136, 4513}, {4254, 14749}, {5218, 37675}, {5280, 9581}, {5282, 7069}, {5283, 26357}, {5299, 50443}, {5727, 16785}, {5781, 35326}, {5783, 30818}, {5816, 22132}, {6911, 13006}, {9596, 10958}, {10589, 33854}, {11376, 16502}, {14942, 56899}, {16412, 45270}, {16517, 54408}, {16870, 47042}, {16973, 18839}, {17756, 60782}, {22753, 43039}, {28052, 28070}, {28806, 37664}, {28808, 28920}, {37540, 41166}

X(62372) = midpoint of X(i) and X(j) for these {i,j}: {7133, 42013}
X(62372) = inverse of X(6) in Feuerbach hyperbola
X(62372) = perspector of circumconic {{A, B, C, X(929), X(1783)}}
X(62372) = pole of line {4025, 11934} with respect to the incircle
X(62372) = pole of line {6, 12723} with respect to the Feuerbach hyperbola
X(62372) = pole of line {197, 851} with respect to the Kiepert hyperbola
X(62372) = pole of line {34975, 56324} with respect to the MacBeath circumconic
X(62372) = pole of line {2509, 21186} with respect to the Steiner inellipse
X(62372) = pole of line {56, 20269} with respect to the dual conic of Yff parabola
X(62372) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(28942)}}, {{A, B, C, X(33), X(13478)}}, {{A, B, C, X(219), X(15624)}}, {{A, B, C, X(222), X(3185)}}, {{A, B, C, X(281), X(44670)}}, {{A, B, C, X(1824), X(40160)}}, {{A, B, C, X(23050), X(56225)}}
X(62372) = barycentric product X(i)*X(j) for these (i, j): {28942, 37}
X(62372) = barycentric quotient X(i)/X(j) for these (i, j): {28942, 274}
X(62372) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {19, 46344, 53413}, {7133, 42013, 44670}

X(62373) = INVERSE OF X(6) IN LEMOINE INELLIPSE

X(62373) lies on these lines: {2, 6}, {1499, 23287}, {2030, 15303}, {2770, 47169}, {3291, 47280}, {5477, 43913}, {8352, 20381}, {10418, 32113}, {16511, 30516}, {32740, 34806}, {34169, 53416}, {38951, 53418}

X(62374) = INVERSE OF X(6) IN HUTSON-MOSES HYPERBOLA

X(62374) lies on these lines: {2, 6163}, {6, 5375}, {8, 54230}, {100, 190}, {145, 6630}, {765, 4448}, {956, 9266}, {1016, 30583}, {3257, 36848}, {6161, 11607}, {6546, 39185}, {16997, 40860}

X(62375) = INVERSE OF X(6) IN DUAL CONIC OF ANTICOMPLEMENTARY CIRCLE

X(62375) lies on these lines: {2, 6}, {4, 10249}, {25, 23327}, {51, 51744}, {66, 19118}, {67, 15471}, {125, 44102}, {140, 50649}, {182, 15760}, {297, 53507}, {338, 1990}, {378, 5480}, {389, 25555}, {403, 1503}, {419, 45279}, {427, 19136}, {441, 3003}, {460, 53569}, {468, 2393}, {511, 10257}, {525, 2485}, {542, 51425}, {1177, 15128}, {1495, 47454}, {1634, 59651}, {1899, 19153}, {1974, 11550}, {2071, 29181}, {2781, 16227}, {2929, 38402}, {3147, 34787}, {3542, 8549}, {3548, 44492}, {3549, 44503}, {3564, 44911}, {3567, 37118}, {5038, 58455}, {5095, 47460}, {5116, 35928}, {5159, 53777}, {5181, 37911}, {5476, 11438}, {5486, 52292}, {5621, 15311}, {5946, 18583}, {5972, 8681}, {6034, 44650}, {6128, 44216}, {6467, 58437}, {6593, 12827}, {6623, 23324}, {6677, 29959}, {6698, 47549}, {6699, 47571}, {6776, 61701}, {7527, 13568}, {7542, 44479}, {7687, 11645}, {8541, 10169}, {8550, 18912}, {9019, 11746}, {9818, 14561}, {10018, 15073}, {10020, 15074}, {10151, 36201}, {10168, 11430}, {10602, 37453}, {11511, 16789}, {11585, 44470}, {11735, 47506}, {12241, 43651}, {12294, 51734}, {13160, 43815}, {13403, 20190}, {14984, 44452}, {15059, 32220}, {15069, 59659}, {15116, 41616}, {15448, 19596}, {15462, 44665}, {15465, 16619}, {15526, 40135}, {15583, 20987}, {16310, 23583}, {16657, 51739}, {18533, 23049}, {18919, 38282}, {19459, 31267}, {20300, 45179}, {20975, 44887}, {21639, 61691}, {23291, 41719}, {23326, 41585}, {25328, 38851}, {26926, 41593}, {32257, 47546}, {32284, 43839}, {32366, 58450}, {32740, 37801}, {34380, 46114}, {37073, 40825}, {37077, 50959}, {37487, 54131}, {37765, 41254}, {37855, 53419}, {39571, 54215}, {41257, 44440}, {41587, 44469}, {45311, 47545}, {49672, 54169}, {50979, 61619}, {53094, 61113}, {60133, 60428}

X(62375) = midpoint of X(i) and X(j) for these {i,j}: {6, 62376}, {125, 44102}, {403, 5622}, {3580, 22151}, {37784, 62382}
X(62375) = reflection of X(i) in X(j) for these {i,j}: {19596, 15448}, {44102, 47457}, {62376, 47296}
X(62375) = complement of X(62382)
X(62375) = perspector of circumconic {{A, B, C, X(99), X(13575)}}
X(62375) = X(i)-complementary conjugate of X(j) for these {i, j}: {19, 15116}, {1177, 18589}, {1973, 1560}, {10423, 4369}, {36095, 512}, {60133, 2887}
X(62375) = pole of line {1499, 8549} with respect to the cosine circle
X(62375) = pole of line {2501, 41361} with respect to the polar circle
X(62375) = pole of line {5095, 6467} with respect to the Jerabek hyperbola
X(62375) = pole of line {2, 112} with respect to the Kiepert hyperbola
X(62375) = pole of line {66, 3566} with respect to the Orthic inconic
X(62375) = pole of line {6, 41673} with respect to the Stammler hyperbola
X(62375) = pole of line {523, 7500} with respect to the Steiner circumellipse
X(62375) = pole of line {25, 523} with respect to the Steiner inellipse
X(62375) = pole of line {6, 525} with respect to the dual conic of anticomplementary circle
X(62375) = pole of line {141, 525} with respect to the dual conic of DeLongchamps circle
X(62375) = pole of line {525, 6515} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62375) = pole of line {525, 28419} with respect to the dual conic of polar circle
X(62375) = pole of line {115, 47125} with respect to the dual conic of Wallace hyperbola
X(62375) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(83), X(54347)}}, {{A, B, C, X(141), X(44549)}}, {{A, B, C, X(525), X(28419)}}, {{A, B, C, X(8749), X(52058)}}, {{A, B, C, X(20806), X(41511)}}
X(62375) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 37784, 62382}, {2, 41614, 141}, {2, 6, 54347}, {67, 47458, 15471}, {403, 5622, 1503}, {524, 47296, 62376}, {597, 13567, 6}, {597, 3589, 37649}, {3580, 22151, 524}, {3618, 5422, 597}, {10602, 37453, 61683}, {11511, 61646, 16789}, {13567, 47296, 44569}, {23292, 47296, 62378}, {23292, 62378, 11064}

X(62376) = INVERSE OF X(6) IN DUAL CONIC OF CIRCUMCIRCLE

X(62376) lies on these lines: {2, 6}, {5, 37473}, {24, 34118}, {25, 34177}, {50, 441}, {66, 20987}, {67, 468}, {125, 2393}, {140, 54215}, {186, 1503}, {265, 47569}, {297, 338}, {403, 2781}, {427, 9971}, {511, 2072}, {525, 23285}, {542, 44214}, {631, 54162}, {858, 6698}, {1030, 18642}, {1350, 18531}, {1352, 6644}, {1368, 16789}, {1495, 47452}, {1576, 44887}, {1609, 20208}, {1620, 6247}, {1691, 41255}, {1843, 6697}, {1899, 61683}, {1989, 44216}, {2076, 15013}, {2450, 53575}, {2892, 37777}, {3003, 15526}, {3153, 29181}, {3564, 15462}, {3818, 38321}, {5095, 47458}, {5133, 16776}, {5159, 10510}, {5181, 8681}, {5480, 7577}, {5523, 46105}, {5891, 18388}, {6128, 45312}, {6389, 8553}, {6403, 20300}, {6639, 44480}, {6640, 44469}, {7505, 34117}, {7550, 12241}, {7575, 61543}, {7687, 19924}, {8550, 26879}, {9140, 47556}, {9973, 23300}, {10264, 18579}, {10295, 32274}, {10298, 44882}, {10303, 54216}, {10516, 18420}, {10606, 18533}, {11178, 11438}, {11188, 23293}, {11416, 15059}, {11457, 15581}, {11477, 41587}, {11645, 44265}, {11646, 54074}, {11799, 49116}, {12233, 14789}, {12359, 12420}, {12367, 47449}, {12585, 43839}, {13169, 47544}, {15000, 23200}, {15073, 26917}, {15116, 35370}, {15118, 21639}, {15471, 16176}, {15579, 43607}, {15582, 34224}, {15812, 15818}, {16310, 44334}, {16581, 18637}, {17821, 35486}, {18324, 46264}, {18390, 50977}, {18755, 22366}, {18876, 41336}, {19136, 61645}, {19153, 37453}, {19510, 41586}, {21243, 29959}, {21500, 36743}, {21637, 58450}, {21663, 36201}, {23296, 47552}, {23332, 41585}, {26869, 32621}, {26926, 58437}, {31833, 43689}, {32127, 32282}, {32238, 47321}, {32244, 47549}, {32245, 41724}, {32257, 53777}, {32269, 37980}, {32298, 51725}, {34146, 51403}, {34163, 60428}, {34477, 48906}, {34990, 62338}, {37118, 51739}, {37487, 47353}, {37765, 48540}, {37778, 50188}, {37990, 40670}, {38282, 41719}, {39231, 47526}, {40107, 50649}, {41254, 53507}, {41599, 58494}, {43817, 44479}, {44102, 47455}, {44324, 44439}, {44754, 50008}, {51425, 56568}, {51733, 52417}

X(62376) = midpoint of X(i) and X(j) for these {i,j}: {67, 18374}, {69, 37784}, {3580, 62382}, {11416, 41721}
X(62376) = reflection of X(i) in X(j) for these {i,j}: {15462, 44452}, {18374, 468}, {21639, 15118}, {47280, 21639}, {47455, 61691}, {56568, 51425}, {6, 62375}, {62375, 47296}, {62381, 62382}, {62382, 141}
X(62376) = complement of X(22151)
X(62376) = perspector of circumconic {{A, B, C, X(99), X(18018)}}
X(62376) = X(i)-Dao conjugate of X(j) for these {i, j}: {15116, 6}
X(62376) = X(i)-complementary conjugate of X(j) for these {i, j}: {19, 6593}, {67, 18589}, {661, 38971}, {798, 55048}, {935, 4369}, {2157, 3}, {3455, 1214}, {8791, 10}, {11605, 21247}, {36128, 52533}, {37221, 11574}, {46105, 2887}
X(62376) = pole of line {669, 2353} with respect to the circumcircle
X(62376) = pole of line {2501, 8743} with respect to the polar circle
X(62376) = pole of line {1205, 6467} with respect to the Jerabek hyperbola
X(62376) = pole of line {2, 339} with respect to the Kiepert hyperbola
X(62376) = pole of line {99, 38861} with respect to the Kiepert parabola
X(62376) = pole of line {3566, 23300} with respect to the Orthic inconic
X(62376) = pole of line {523, 7391} with respect to the Steiner circumellipse
X(62376) = pole of line {427, 523} with respect to the Steiner inellipse
X(62376) = pole of line {2, 4611} with respect to the Wallace hyperbola
X(62376) = pole of line {6, 525} with respect to the dual conic of circumcircle
X(62376) = pole of line {525, 3589} with respect to the dual conic of DeLongchamps circle
X(62376) = pole of line {525, 3050} with respect to the dual conic of orthocentroidal circle
X(62376) = pole of line {525, 1993} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62376) = pole of line {525, 20806} with respect to the dual conic of polar circle
X(62376) = pole of line {141, 525} with respect to the dual conic of tangential circle
X(62376) = pole of line {338, 33294} with respect to the dual conic of Stammler hyperbola
X(62376) = pole of line {525, 3050} with respect to the dual conic of Yff hyperbola
X(62376) = pole of line {115, 2485} with respect to the dual conic of Wallace hyperbola
X(62376) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(37981)}}, {{A, B, C, X(66), X(28408)}}, {{A, B, C, X(67), X(15116)}}, {{A, B, C, X(86), X(18694)}}, {{A, B, C, X(525), X(20806)}}, {{A, B, C, X(1177), X(22151)}}, {{A, B, C, X(2421), X(34138)}}, {{A, B, C, X(3589), X(44549)}}, {{A, B, C, X(5523), X(18374)}}, {{A, B, C, X(9517), X(38851)}}, {{A, B, C, X(11064), X(60527)}}, {{A, B, C, X(14910), X(52058)}}, {{A, B, C, X(28419), X(56473)}}, {{A, B, C, X(35370), X(36952)}}
X(62376) = barycentric product X(i)*X(j) for these (i, j): {1, 18694}, {15116, 2373}, {18019, 40949}, {37981, 69}
X(62376) = barycentric quotient X(i)/X(j) for these (i, j): {15116, 858}, {18694, 75}, {35370, 1995}, {37981, 4}, {40949, 23}
X(62376) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {141, 13567, 54347}, {141, 343, 599}, {141, 3580, 62381}, {141, 524, 62382}, {297, 338, 53416}, {343, 44569, 3580}, {524, 47296, 62375}, {599, 3763, 17811}, {1368, 16789, 54334}, {3564, 44452, 15462}, {3580, 37636, 62377}, {3580, 62382, 524}, {5159, 47558, 10510}, {6698, 8262, 858}, {13567, 54347, 6}, {15116, 35370, 37981}, {23300, 41584, 9973}, {44569, 47296, 26958}, {47296, 62378, 2}, {62302, 62377, 37636}

X(62377) = INVERSE OF X(6) IN DUAL CONIC OF 1ST DROZ-FARNY CIRCLE

X(62377) lies on these lines: {2, 6}, {403, 1112}, {511, 12827}, {858, 14984}, {2071, 3448}, {2072, 45237}, {3564, 16387}, {5622, 41724}, {7426, 20772}, {14918, 37778}, {15122, 48362}, {32111, 54037}, {32220, 41612}, {32263, 45780}

X(62378) = INVERSE OF X(6) IN DUAL CONIC OF 2ND DROZ-FARNY CIRCLE

X(62378) lies on these lines: {2, 6}, {186, 10117}, {403, 15131}, {468, 2781}, {525, 46425}, {541, 18579}, {1503, 40114}, {2072, 37477}, {5655, 44214}, {5925, 37460}, {5972, 13754}, {6644, 61507}, {10605, 61680}, {12163, 59659}, {12828, 61691}, {15462, 41615}, {16252, 35486}, {20127, 44265}, {29181, 37980}, {41618, 47457}

X(62379) = INVERSE OF X(6) IN DUAL CONIC OF INCIRCLE

X(62379) lies on these lines: {6, 644}, {8, 34807}, {55, 3699}, {56, 190}, {528, 36926}, {900, 4057}, {2796, 62297}, {3550, 30568}, {3756, 44416}, {4422, 56313}, {4432, 37588}, {9372, 56277}, {17261, 37617}, {17339, 26727}, {17777, 29243}, {24820, 56276}

X(62380) = INVERSE OF X(6) IN DUAL CONIC OF CIRCUMCIRCLE OF THE JOHNSON TRIANGLE

X(62380) lies on these lines: {2, 6}, {403, 14643}, {858, 41615}, {2986, 53507}, {3292, 12827}, {10257, 46114}, {10272, 47332}, {14920, 37778}, {18436, 37118}, {20127, 54995}, {35265, 52403}, {44440, 47391}

X(62381) = INVERSE OF X(6) IN DUAL CONIC OF ORTHOCENTROIDAL CIRCLE

X(62381) lies on these lines: {2, 6}, {30, 5648}, {67, 3564}, {113, 511}, {125, 9027}, {338, 1236}, {340, 41253}, {525, 35522}, {542, 10564}, {625, 49123}, {858, 2854}, {1352, 31861}, {1503, 2892}, {2072, 61665}, {2393, 32114}, {3260, 53416}, {3431, 51737}, {3581, 47569}, {3793, 41336}, {3933, 18375}, {4846, 54173}, {5505, 47097}, {5650, 16511}, {5965, 32257}, {5972, 47455}, {6096, 40347}, {6390, 36883}, {6393, 36792}, {6593, 32220}, {7813, 14961}, {7845, 45312}, {8262, 41670}, {8263, 9971}, {8542, 61743}, {8547, 16063}, {9145, 47526}, {9730, 40107}, {10295, 33851}, {10510, 13248}, {13352, 34507}, {14643, 47581}, {14984, 51391}, {15069, 37497}, {15118, 32127}, {15360, 47556}, {18860, 41359}, {19130, 29959}, {23061, 41721}, {25320, 30745}, {31670, 58885}, {32223, 47452}, {32227, 41613}, {32269, 47450}, {34380, 47558}, {37470, 50977}, {44791, 47468}, {47322, 51389}, {47334, 47473}, {47449, 47582}, {47549, 52699}, {51371, 52881}, {55977, 61735}

X(62381) = midpoint of X(i) and X(j) for these {i,j}: {69, 323}, {23061, 41721}, {32114, 51360}
X(62381) = reflection of X(i) in X(j) for these {i,j}: {125, 19510}, {10295, 33851}, {11579, 15122}, {15360, 47556}, {3580, 141}, {3581, 47569}, {31670, 58885}, {32113, 5181}, {32127, 15118}, {32220, 6593}, {47322, 51389}, {47582, 47449}, {53777, 5972}, {6, 11064}, {62376, 62382}
X(62381) = complement of X(41617)
X(62381) = X(i)-complementary conjugate of X(j) for these {i, j}: {2696, 4369}, {55973, 2887}
X(62381) = pole of line {2501, 59928} with respect to the polar circle
X(62381) = pole of line {2, 44468} with respect to the Kiepert hyperbola
X(62381) = pole of line {6, 12824} with respect to the Stammler hyperbola
X(62381) = pole of line {523, 16063} with respect to the Steiner circumellipse
X(62381) = pole of line {523, 30739} with respect to the Steiner inellipse
X(62381) = pole of line {2, 19220} with respect to the Wallace hyperbola
X(62381) = pole of line {525, 599} with respect to the dual conic of circumcircle
X(62381) = pole of line {6, 525} with respect to the dual conic of orthocentroidal circle
X(62381) = pole of line {525, 15066} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62381) = pole of line {525, 41614} with respect to the dual conic of polar circle
X(62381) = pole of line {6, 525} with respect to the dual conic of Yff hyperbola
X(62381) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(18880)}}, {{A, B, C, X(67), X(3580)}}, {{A, B, C, X(525), X(41614)}}, {{A, B, C, X(5504), X(22151)}}, {{A, B, C, X(5505), X(41617)}}, {{A, B, C, X(5913), X(40347)}}, {{A, B, C, X(5971), X(18019)}}, {{A, B, C, X(6096), X(37784)}}, {{A, B, C, X(44569), X(60527)}}, {{A, B, C, X(57466), X(61198)}}
X(62381) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {69, 323, 524}, {141, 3580, 62376}, {141, 524, 3580}, {511, 5181, 32113}, {524, 11064, 6}, {3564, 15122, 11579}, {3580, 62382, 141}, {5972, 53777, 47455}, {9027, 19510, 125}, {22151, 28419, 11064}, {32114, 51360, 2393}

X(62382) = INVERSE OF X(6) IN DUAL CONIC OF POLAR CIRCLE

X(62382) lies on these lines: {2, 6}, {22, 61683}, {30, 49125}, {53, 44136}, {67, 58357}, {76, 60266}, {110, 16387}, {125, 8681}, {249, 15388}, {287, 43755}, {297, 3260}, {311, 53481}, {316, 37855}, {378, 1352}, {403, 511}, {427, 8263}, {441, 4558}, {525, 3267}, {542, 51394}, {858, 2393}, {895, 5159}, {1092, 34507}, {1236, 5523}, {1350, 44440}, {1444, 18642}, {1503, 2071}, {1531, 19924}, {2072, 14984}, {2892, 37929}, {2979, 16789}, {3098, 44458}, {3292, 32257}, {3564, 5622}, {3912, 62328}, {3964, 20208}, {5133, 29959}, {5207, 15014}, {5562, 40107}, {5972, 32220}, {6148, 40884}, {6247, 53050}, {6389, 9723}, {6390, 34897}, {6403, 45179}, {6623, 51212}, {6640, 8548}, {6723, 32127}, {6776, 47391}, {7505, 44492}, {8550, 9545}, {9019, 32113}, {9813, 61743}, {9925, 25738}, {10018, 44470}, {10169, 11443}, {10249, 15069}, {10602, 30771}, {11179, 49672}, {11442, 61737}, {11585, 15073}, {11645, 16163}, {12272, 23300}, {12379, 14982}, {14060, 51611}, {14516, 34118}, {15074, 37452}, {15107, 47449}, {15121, 30739}, {15131, 41743}, {15462, 52416}, {15526, 36212}, {15531, 26913}, {15559, 43130}, {15760, 23039}, {16386, 36201}, {16977, 41615}, {18537, 40330}, {18583, 61711}, {18911, 32621}, {19121, 58437}, {21243, 61667}, {22468, 36794}, {23061, 47558}, {23327, 30744}, {26869, 53019}, {27365, 61664}, {29181, 51998}, {32269, 37962}, {32284, 43817}, {33314, 45279}, {33878, 58885}, {34380, 44911}, {34777, 40317}, {34787, 37444}, {34828, 44180}, {35928, 60702}, {37077, 47354}, {37804, 41511}, {37990, 61676}, {42313, 57819}, {45921, 53575}, {52262, 61545}, {53022, 61690}, {54075, 56473}

X(62382) = midpoint of X(i) and X(j) for these {i,j}: {69, 22151}, {62376, 62381}
X(62382) = reflection of X(i) in X(j) for these {i,j}: {22151, 11064}, {3580, 62376}, {32220, 44102}, {37784, 62375}, {44102, 5972}, {5622, 10257}, {62376, 141}
X(62382) = inverse of X(20806) in MacBeath circumconic
X(62382) = isotomic conjugate of X(60133)
X(62382) = complement of X(37784)
X(62382) = anticomplement of X(62375)
X(62382) = perspector of circumconic {{A, B, C, X(99), X(305)}}
X(62382) = X(i)-isoconjugate-of-X(j) for these {i, j}: {19, 1177}, {31, 60133}, {512, 36095}, {661, 10423}, {923, 51823}, {1096, 18876}, {1973, 2373}, {1974, 37220}, {32676, 60040}
X(62382) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 60133}, {6, 1177}, {468, 60428}, {858, 8744}, {2482, 51823}, {5181, 6}, {5976, 52486}, {6337, 2373}, {6503, 18876}, {14357, 8791}, {14961, 468}, {15526, 60040}, {36830, 10423}, {38971, 2501}, {39054, 36095}, {61067, 25}, {62375, 62375}
X(62382) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1236, 858}, {30786, 51253}, {37804, 6390}
X(62382) = X(i)-complementary conjugate of X(j) for these {i, j}: {661, 48317}, {2157, 39169}, {40347, 10}, {41521, 226}, {53895, 4369}
X(62382) = X(i)-cross conjugate of X(j) for these {i, j}: {5181, 69}, {14961, 858}
X(62382) = pole of line {2207, 2501} with respect to the polar circle
X(62382) = pole of line {6467, 32285} with respect to the Jerabek hyperbola
X(62382) = pole of line {2, 40347} with respect to the Kiepert hyperbola
X(62382) = pole of line {99, 250} with respect to the Kiepert parabola
X(62382) = pole of line {525, 20806} with respect to the MacBeath circumconic
X(62382) = pole of line {6563, 41009} with respect to the MacBeath inconic
X(62382) = pole of line {6, 1112} with respect to the Stammler hyperbola
X(62382) = pole of line {523, 1370} with respect to the Steiner circumellipse
X(62382) = pole of line {523, 1368} with respect to the Steiner inellipse
X(62382) = pole of line {2, 112} with respect to the Wallace hyperbola
X(62382) = pole of line {69, 525} with respect to the dual conic of circumcircle
X(62382) = pole of line {525, 20806} with respect to the dual conic of nine-point circle
X(62382) = pole of line {525, 3049} with respect to the dual conic of orthocentroidal circle
X(62382) = pole of line {394, 525} with respect to the dual conic of orthoptic circle of the Steiner Inellipse
X(62382) = pole of line {6, 525} with respect to the dual conic of polar circle
X(62382) = pole of line {14615, 57082} with respect to the dual conic of Brocard inellipse
X(62382) = pole of line {3265, 3926} with respect to the dual conic of Orthic inconic
X(62382) = pole of line {338, 2501} with respect to the dual conic of Stammler hyperbola
X(62382) = pole of line {525, 3049} with respect to the dual conic of Yff hyperbola
X(62382) = pole of line {115, 2489} with respect to the dual conic of Wallace hyperbola
X(62382) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(858)}}, {{A, B, C, X(6), X(525)}}, {{A, B, C, X(67), X(15116)}}, {{A, B, C, X(69), X(1236)}}, {{A, B, C, X(76), X(41614)}}, {{A, B, C, X(81), X(15413)}}, {{A, B, C, X(86), X(17172)}}, {{A, B, C, X(183), X(57819)}}, {{A, B, C, X(193), X(56579)}}, {{A, B, C, X(230), X(47138)}}, {{A, B, C, X(249), X(20806)}}, {{A, B, C, X(287), X(3580)}}, {{A, B, C, X(323), X(45792)}}, {{A, B, C, X(325), X(57829)}}, {{A, B, C, X(333), X(20884)}}, {{A, B, C, X(394), X(4143)}}, {{A, B, C, X(524), X(5181)}}, {{A, B, C, X(597), X(3521)}}, {{A, B, C, X(599), X(19510)}}, {{A, B, C, X(895), X(37784)}}, {{A, B, C, X(966), X(21017)}}, {{A, B, C, X(1184), X(14580)}}, {{A, B, C, X(1560), X(24855)}}, {{A, B, C, X(1992), X(34403)}}, {{A, B, C, X(2287), X(15416)}}, {{A, B, C, X(2303), X(18669)}}, {{A, B, C, X(2421), X(6393)}}, {{A, B, C, X(3231), X(42665)}}, {{A, B, C, X(5304), X(21459)}}, {{A, B, C, X(7735), X(52672)}}, {{A, B, C, X(13567), X(41603)}}, {{A, B, C, X(14376), X(39269)}}, {{A, B, C, X(14977), X(37778)}}, {{A, B, C, X(15066), X(42313)}}, {{A, B, C, X(15126), X(26958)}}, {{A, B, C, X(26206), X(31360)}}, {{A, B, C, X(34211), X(60053)}}, {{A, B, C, X(37643), X(42287)}}, {{A, B, C, X(40708), X(56430)}}, {{A, B, C, X(47296), X(60527)}}
X(62382) = barycentric product X(i)*X(j) for these (i, j): {69, 858}, {1236, 3}, {2393, 305}, {3265, 61181}, {3267, 61198}, {3926, 5523}, {4563, 47138}, {12827, 57829}, {14961, 76}, {17172, 306}, {17206, 21017}, {18669, 304}, {20806, 52512}, {20884, 63}, {21109, 4561}, {22151, 57476}, {30786, 5181}, {41603, 57800}, {42665, 670}, {44146, 51253}, {46592, 52617}, {52672, 6393}, {56579, 62310}, {59422, 6390}
X(62382) = barycentric quotient X(i)/X(j) for these (i, j): {2, 60133}, {3, 1177}, {69, 2373}, {110, 10423}, {304, 37220}, {305, 46140}, {325, 52486}, {394, 18876}, {524, 51823}, {525, 60040}, {662, 36095}, {858, 4}, {895, 10422}, {1236, 264}, {1370, 61489}, {1560, 60428}, {2393, 25}, {3266, 58078}, {3933, 46165}, {5181, 468}, {5523, 393}, {12827, 403}, {14580, 2207}, {14961, 6}, {15116, 37981}, {15126, 37197}, {17172, 27}, {18669, 19}, {19510, 5094}, {20806, 52513}, {20884, 92}, {21017, 1826}, {21109, 7649}, {22151, 60002}, {34158, 32740}, {36212, 36823}, {41603, 235}, {42665, 512}, {46592, 32713}, {47138, 2501}, {47426, 44102}, {51253, 895}, {52512, 43678}, {52672, 6531}, {56579, 2374}, {57476, 46105}, {57485, 8753}, {59422, 17983}, {60499, 8749}, {61181, 107}, {61198, 112}, {61454, 32741}, {61456, 34207}, {62310, 56685}
X(62382) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 37784, 62375}, {2, 69, 41614}, {6, 141, 26156}, {69, 28408, 6}, {69, 28708, 193}, {141, 3631, 59778}, {141, 524, 62376}, {141, 54347, 2}, {141, 599, 37636}, {141, 62381, 3580}, {394, 11064, 40112}, {394, 599, 69}, {427, 8263, 11188}, {524, 11064, 22151}, {524, 62375, 37784}, {2063, 41614, 20806}, {3564, 10257, 5622}, {3619, 41617, 47296}, {5181, 19510, 858}, {15526, 36212, 62338}, {33314, 53350, 45279}, {62376, 62381, 524}

X(62383) = INVERSE OF X(6) IN DUAL CONIC OF YFF PARABOLA

X(62383) lies on these lines: {2, 17747}, {3, 142}, {4, 21258}, {6, 7}, {9, 3739}, {40, 6706}, {45, 51052}, {46, 24774}, {55, 30949}, {75, 50995}, {85, 27000}, {86, 14953}, {101, 57521}, {116, 381}, {141, 2550}, {144, 17277}, {220, 17682}, {238, 4312}, {277, 4295}, {390, 4648}, {518, 4361}, {528, 17313}, {910, 40719}, {954, 5132}, {958, 17050}, {999, 17761}, {1376, 20335}, {1418, 42309}, {1478, 4904}, {1836, 51400}, {1890, 37396}, {2082, 4059}, {2099, 9317}, {2170, 7223}, {3207, 4209}, {3243, 4852}, {3295, 17758}, {3434, 51384}, {3616, 59607}, {3662, 20172}, {3671, 52542}, {3817, 62388}, {3826, 17327}, {3946, 5542}, {4292, 24181}, {4335, 45223}, {4429, 38185}, {4459, 60910}, {4513, 20244}, {4649, 59372}, {4851, 5853}, {4916, 12630}, {5088, 34522}, {5223, 49483}, {5263, 59412}, {5603, 17044}, {5698, 34824}, {5710, 26978}, {5737, 56509}, {6172, 49727}, {6173, 16503}, {6284, 26101}, {6666, 61344}, {7225, 9454}, {7228, 51144}, {7232, 24699}, {7770, 24190}, {7991, 59615}, {10431, 45226}, {12047, 20269}, {12513, 20257}, {15970, 29181}, {16371, 25532}, {16466, 24790}, {16593, 17265}, {16777, 27475}, {16885, 60960}, {17045, 38053}, {17067, 30424}, {17095, 27183}, {17220, 25878}, {17234, 20533}, {17239, 38200}, {17296, 49460}, {17300, 20162}, {17302, 20131}, {17306, 38052}, {17318, 51058}, {17321, 20135}, {17349, 20059}, {17369, 18230}, {17579, 26140}, {17605, 30742}, {17675, 24045}, {18166, 29775}, {18634, 38150}, {20179, 48629}, {20195, 25498}, {20328, 28174}, {20347, 24596}, {21239, 42356}, {21255, 32941}, {23151, 24588}, {24352, 40131}, {24393, 28634}, {24784, 37692}, {25521, 37499}, {27384, 51418}, {28639, 38316}, {31657, 37474}, {37510, 60922}, {39542, 52826}, {42871, 49472}, {46922, 59375}, {47357, 49738}, {50081, 51102}, {50098, 50996}, {50112, 51099}, {50128, 50997}, {52511, 60955}, {57537, 57792}

X(62383) = midpoint of X(i) and X(j) for these {i,j}: {7, 5819}
X(62383) = complement of X(41325)
X(62383) = perspector of circumconic {{A, B, C, X(927), X(43190)}}
X(62383) = X(i)-Ceva conjugate of X(j) for these {i, j}: {9057, 514}
X(62383) = pole of line {514, 8638} with respect to the circumcircle
X(62383) = pole of line {21185, 43042} with respect to the incircle
X(62383) = pole of line {4184, 42316} with respect to the Stammler hyperbola
X(62383) = pole of line {676, 4025} with respect to the Steiner inellipse
X(62383) = pole of line {29616, 33297} with respect to the Wallace hyperbola
X(62383) = pole of line {6, 516} with respect to the dual conic of Yff parabola
X(62383) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(14377), X(56783)}}, {{A, B, C, X(15320), X(55937)}}, {{A, B, C, X(17747), X(59259)}}, {{A, B, C, X(39063), X(57792)}}, {{A, B, C, X(56900), X(57537)}}
X(62383) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {7, 37800, 39063}, {7, 379, 5781}, {7, 4000, 51150}, {7, 51190, 17365}, {7, 5819, 5845}, {7, 5838, 4644}, {7, 673, 6}, {142, 1001, 15668}, {379, 5228, 5792}, {1001, 11495, 8053}, {2140, 17729, 55161}, {4209, 55082, 3207}, {14377, 55161, 17729}, {17729, 55161, 3}

X(62384) = INVERSE OF X(6) IN DUAL CONIC OF WALLACE HYPERBOLA

X(62384) lies on these lines: {6, 523}, {53, 55275}, {115, 127}, {183, 33294}, {187, 18556}, {216, 2485}, {525, 2549}, {574, 5664}, {1632, 60504}, {2165, 34212}, {2394, 43448}, {2501, 53266}, {3018, 60510}, {3265, 7778}, {5254, 5489}, {6587, 37637}, {7610, 44552}, {7735, 53383}, {8704, 22682}, {9479, 39232}, {14566, 43620}, {14977, 52450}, {23881, 42554}, {42733, 53419}, {53418, 58346}

X(62385) = INVERSE OF X(7) IN CONWAY CIRCLE

X(62385) lies on these lines: {1, 7}, {151, 52160}, {1434, 9943}, {1490, 36854}, {1764, 5011}, {1999, 18663}, {5074, 10478}, {5144, 10882}, {5199, 18229}, {6996, 43065}, {10429, 10432}, {30806, 36002}

X(62386) = INVERSE OF X(7) IN DELONGCHAMPS CIRCLE

X(62386) lies on these lines: {1, 7}, {22, 54070}, {85, 11496}, {242, 405}, {514, 40863}, {664, 6001}, {927, 1295}, {1305, 2717}, {1441, 6912}, {1465, 6996}, {1730, 3101}, {3732, 51376}, {4872, 5842}, {5074, 40677}, {5144, 7520}, {9312, 12705}, {10310, 40702}, {11112, 41007}, {13397, 53183}, {56078, 56943}

X(62387) = INVERSE OF X(7) IN MACBEATH CIRCUMCONIC

X(62387) lies on these lines: {6, 7}, {219, 36101}, {934, 22144}, {1456, 2836}, {2002, 16554}, {2801, 3100}, {2876, 32735}, {3002, 32624}, {3160, 22131}, {17100, 44717}, {22122, 34028}, {26932, 37659}, {27509, 37781}, {39470, 57167}

X(62388) = INVERSE OF X(7) IN STEINER INELLIPSE

X(62388) lies on these lines: {2, 7}, {8, 59610}, {103, 1541}, {116, 515}, {141, 20103}, {200, 53996}, {279, 23058}, {348, 41006}, {499, 24181}, {516, 6712}, {519, 17044}, {522, 676}, {728, 28756}, {760, 3812}, {910, 61673}, {1125, 21258}, {1146, 1323}, {1210, 20269}, {1565, 2391}, {1861, 36122}, {2348, 31192}, {3008, 23972}, {3634, 6706}, {3693, 16578}, {3817, 62383}, {3946, 11019}, {4682, 13405}, {4904, 44675}, {5074, 28194}, {5179, 31273}, {5199, 40483}, {5845, 53579}, {5853, 50441}, {6684, 34847}, {6745, 36956}, {8727, 21239}, {10481, 46835}, {11231, 20328}, {13411, 24784}, {14377, 18483}, {15325, 40555}, {17046, 57284}, {17062, 19868}, {17078, 31640}, {17355, 25355}, {17729, 28150}, {21314, 42048}, {24856, 36620}, {24982, 27006}, {26001, 43035}, {29607, 39353}, {34050, 57440}, {37780, 40510}, {38326, 40536}, {58466, 62398}

X(62388) = midpoint of X(i) and X(j) for these {i,j}: {103, 1541}, {116, 51775}, {1146, 1323}, {1565, 8074}, {3008, 35094}, {9436, 40869}, {34050, 57440}
X(62388) = reflection of X(i) in X(j) for these {i,j}: {5199, 40483}
X(62388) = inverse of X(20059) in Steiner circumellipse
X(62388) = inverse of X(7) in Steiner inellipse
X(62388) = complement of X(40869)
X(62388) = perspector of circumconic {{A, B, C, X(664), X(10405)}}
X(62388) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2398, 918}
X(62388) = X(i)-complementary conjugate of X(j) for these {i, j}: {56, 39063}, {57, 118}, {103, 3452}, {604, 23972}, {677, 20317}, {911, 9}, {1815, 34823}, {2424, 26932}, {18025, 21244}, {24016, 4885}, {32668, 522}, {36039, 4521}, {36101, 1329}, {36122, 41883}, {43736, 141}, {52156, 2887}, {52213, 120}, {60581, 21252}
X(62388) = pole of line {1699, 3676} with respect to the incircle
X(62388) = pole of line {1376, 4521} with respect to the Spieker circle
X(62388) = pole of line {522, 20059} with respect to the Steiner circumellipse
X(62388) = pole of line {7, 522} with respect to the Steiner inellipse
X(62388) = pole of line {14837, 46835} with respect to the dual conic of DeLongchamps circle
X(62388) = pole of line {1, 1146} with respect to the dual conic of Yff parabola
X(62388) = pole of line {21044, 55285} with respect to the dual conic of Wallace hyperbola
X(62388) = intersection, other than A, B, C, of circumconics {{A, B, C, X(7), X(36956)}}, {{A, B, C, X(9), X(40510)}}, {{A, B, C, X(144), X(522)}}, {{A, B, C, X(1025), X(56718)}}, {{A, B, C, X(1275), X(20059)}}, {{A, B, C, X(6745), X(45293)}}, {{A, B, C, X(7658), X(38254)}}, {{A, B, C, X(40869), X(52156)}}
X(62388) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 9436, 40869}, {116, 51775, 515}, {1210, 20269, 52542}, {1565, 8074, 2391}, {9436, 40869, 527}

X(62389) = INVERSE OF X(7) IN WALLACE HYPERBOLA

X(62389) lies on these lines: {7, 99}, {8, 21}, {20, 25650}, {643, 3241}, {962, 56833}, {3161, 7259}, {4234, 35578}, {5550, 52360}, {5748, 7424}, {17558, 25446}, {27690, 57287}, {56951, 59387}

X(62390) = INVERSE OF X(7) IN DUAL CONIC OF INCIRCLE

X(62390) lies on these lines: {7, 190}, {9, 4437}, {37, 3589}, {44, 49783}, {335, 17339}, {346, 673}, {528, 3685}, {545, 41310}, {668, 3039}, {918, 3669}, {1001, 27549}, {1016, 5854}, {1086, 3729}, {1279, 4899}, {3912, 5845}, {4078, 4432}, {4370, 4795}, {4473, 17379}, {4568, 40534}, {6354, 30568}, {7227, 17357}, {14947, 36798}, {17280, 26582}, {17354, 24349}, {17359, 25357}, {26007, 42720}, {26685, 32029}, {27191, 31995}, {38314, 41138}, {43736, 56076}

X(62390) = pole of line {659, 1376} with respect to the Steiner inellipse
X(62390) = pole of line {918, 17353} with respect to the dual conic of anticomplementary circle
X(62390) = pole of line {7, 918} with respect to the dual conic of incircle
X(62390) = pole of line {650, 42720} with respect to the dual conic of Feuerbach hyperbola
X(62390) = pole of line {3306, 4453} with respect to the dual conic of Suppa-Cucoanes circle
X(62390) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4076), X(16593)}}, {{A, B, C, X(35160), X(39714)}}, {{A, B, C, X(36807), X(48070)}}, {{A, B, C, X(39979), X(43760)}}
X(62390) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 344, 16593}, {190, 36807, 7}, {3161, 52157, 190}, {17755, 25101, 4422}

X(62391) = INVERSE OF X(7) IN DUAL CONIC OF POLAR CIRCLE

X(62391) lies on these lines: {7, 8}, {78, 20765}, {200, 394}, {268, 271}, {318, 48878}, {343, 4847}, {391, 62326}, {521, 6332}, {914, 2968}, {3717, 23983}, {5231, 37638}, {5423, 44189}, {5562, 34790}, {6745, 11064}

X(62392) = INVERSE OF X(7) IN DUAL CONIC OF SPIEKER CIRCLE

X(62392) lies on these lines: {1, 26806}, {2, 968}, {4, 29327}, {7, 145}, {8, 726}, {10, 9791}, {100, 1284}, {149, 5211}, {190, 28530}, {192, 2550}, {238, 17764}, {239, 516}, {256, 4642}, {319, 49468}, {320, 28581}, {329, 59295}, {335, 740}, {497, 17490}, {518, 4440}, {519, 32857}, {522, 17950}, {528, 32922}, {536, 32850}, {537, 49707}, {752, 4716}, {894, 3755}, {899, 17777}, {962, 20036}, {1279, 37756}, {1458, 38460}, {1463, 3880}, {1469, 14923}, {1654, 3696}, {1757, 2796}, {1770, 20077}, {1916, 5992}, {2113, 39362}, {2325, 5296}, {2475, 56291}, {3187, 20101}, {3210, 3434}, {3242, 4398}, {3416, 49502}, {3474, 37683}, {3617, 3717}, {3622, 15839}, {3662, 3886}, {3706, 33068}, {3744, 19796}, {3751, 31300}, {3782, 3996}, {3823, 17264}, {3836, 4693}, {3883, 17117}, {3888, 35104}, {3891, 49719}, {3896, 17778}, {3931, 26051}, {3980, 29837}, {4026, 28604}, {4080, 52925}, {4294, 19851}, {4295, 20018}, {4307, 4393}, {4312, 17364}, {4331, 12649}, {4334, 36846}, {4335, 19860}, {4349, 29584}, {4356, 16826}, {4358, 26073}, {4365, 32948}, {4388, 32860}, {4392, 21283}, {4402, 30332}, {4427, 33139}, {4429, 5695}, {4514, 42051}, {4649, 4743}, {4651, 33100}, {4655, 49459}, {4685, 33099}, {4695, 36926}, {4732, 24697}, {4734, 26098}, {4753, 28546}, {4772, 39581}, {4780, 20090}, {4862, 49451}, {4899, 17132}, {4970, 33109}, {5014, 50106}, {5260, 45705}, {5263, 17302}, {5524, 21093}, {5686, 20073}, {5698, 17349}, {5846, 17160}, {5847, 20016}, {5880, 17300}, {5905, 20012}, {7321, 49478}, {9802, 62401}, {10030, 52164}, {10528, 26125}, {12053, 30037}, {16610, 26139}, {16704, 19642}, {16706, 49484}, {17067, 46934}, {17135, 26840}, {17147, 33110}, {17151, 33869}, {17163, 33083}, {17244, 38052}, {17276, 49450}, {17315, 49461}, {17316, 59412}, {17324, 19868}, {17350, 24280}, {17483, 20011}, {17484, 19998}, {17593, 21242}, {17766, 50015}, {17767, 49712}, {17768, 20072}, {17770, 50016}, {17784, 30699}, {17869, 26178}, {17889, 29839}, {19785, 29838}, {19789, 20075}, {20045, 20095}, {21282, 32842}, {21949, 33116}, {24364, 59512}, {24821, 49697}, {24836, 44669}, {25269, 27549}, {25903, 58327}, {26015, 62300}, {26109, 37593}, {28508, 50018}, {28522, 32847}, {28526, 49772}, {28542, 49693}, {28582, 49698}, {29575, 51100}, {29586, 50302}, {29591, 32784}, {29615, 49630}, {29626, 38204}, {32845, 33136}, {32865, 32934}, {32926, 34612}, {32941, 33149}, {32945, 33145}, {32950, 37653}, {34772, 42289}, {37652, 44447}, {44419, 55095}, {48643, 60714}, {49466, 53594}, {50086, 50308}, {50281, 50301}, {50298, 60710}

X(62392) = reflection of X(i) in X(j) for these {i,j}: {24821, 49697}, {3685, 1738}, {4645, 24715}, {4693, 3836}, {49704, 32922}, {6542, 4645}
X(62392) = anticomplement of X(3685)
X(62392) = X(i)-Dao conjugate of X(j) for these {i, j}: {3685, 3685}
X(62392) = X(i)-Ceva conjugate of X(j) for these {i, j}: {7233, 2}
X(62392) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {7, 20554}, {56, 17794}, {57, 20345}, {291, 3436}, {292, 329}, {295, 52366}, {335, 21286}, {604, 33888}, {741, 3869}, {813, 4462}, {875, 39351}, {876, 33650}, {1397, 30667}, {1402, 39367}, {1911, 144}, {1922, 3177}, {2196, 56943}, {2311, 18750}, {3572, 37781}, {4876, 54113}, {7175, 25332}, {7233, 6327}, {14598, 21218}, {18268, 63}, {34067, 4468}, {37128, 20245}, {51858, 30695}, {51866, 30807}, {52205, 56883}, {57181, 39362}
X(62392) = pole of line {29324, 40950} with respect to the polar circle
X(62392) = pole of line {226, 3676} with respect to the Steiner circumellipse
X(62392) = pole of line {28846, 58463} with respect to the Steiner inellipse
X(62392) = pole of line {7, 522} with respect to the dual conic of Spieker circle
X(62392) = pole of line {4384, 4862} with respect to the dual conic of Yff parabola
X(62392) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1916), X(10029)}}, {{A, B, C, X(3551), X(9505)}}, {{A, B, C, X(3879), X(4076)}}, {{A, B, C, X(4373), X(56102)}}, {{A, B, C, X(24378), X(27818)}}
X(62392) = barycentric product X(i)*X(j) for these (i, j): {10, 24378}
X(62392) = barycentric quotient X(i)/X(j) for these (i, j): {24378, 86}
X(62392) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 24248, 6646}, {100, 37759, 37764}, {100, 4442, 37759}, {149, 17495, 5211}, {528, 32922, 49704}, {740, 24715, 4645}, {740, 4645, 6542}, {1738, 28580, 3685}, {1738, 3685, 2}, {3210, 3434, 29840}, {3696, 24723, 1654}, {3875, 50289, 145}, {3896, 20292, 17778}, {4312, 49495, 17364}, {4429, 5695, 17280}, {4660, 49474, 8}, {5880, 49470, 17300}, {17135, 33102, 26840}, {19998, 44006, 17484}, {32860, 33094, 4388}

X(62393) = INVERSE OF X(8) IN BEVAN CIRCLE

X(62393) lies on these lines: {1, 1324}, {8, 20}, {10, 60448}, {57, 49487}, {522, 4498}, {976, 1697}, {986, 8192}, {1046, 16980}, {1706, 36568}, {1710, 37710}, {1726, 3679}, {1763, 3465}, {1785, 7713}, {1829, 5255}, {2222, 38882}, {2270, 40968}, {3220, 45269}, {3576, 54090}, {3579, 35455}, {3877, 52092}, {4362, 39596}, {5176, 21368}, {6211, 6735}, {16560, 40663}, {21370, 29673}, {32778, 62330}

X(62394) = INVERSE OF X(8) IN EXCIRCLES-RADICAL CIRCLE

X(62394) lies on these lines: {1, 2}, {341, 4848}, {516, 36926}, {517, 62297}, {1997, 7962}, {2899, 7991}, {3030, 3880}, {3596, 39126}, {3667, 4391}, {3717, 40663}, {4358, 51433}, {4723, 4899}, {5657, 56078}, {6762, 42020}, {11362, 46937}, {17777, 28228}, {24391, 44720}, {30568, 59417}, {43174, 56311}

X(62395) = INVERSE OF X(8) IN STAMMLER CIRCLE

X(62395) lies on these lines: {3, 8}, {35, 3065}, {55, 45764}, {149, 37251}, {1470, 34748}, {1484, 45976}, {2771, 35000}, {2802, 62318}, {3754, 12737}, {3925, 57298}, {4995, 10058}, {5055, 39692}, {5531, 26285}, {5563, 13143}, {6264, 37535}, {6326, 11849}, {6690, 38752}, {6915, 61601}, {7993, 32612}, {8069, 53616}, {10526, 38756}, {11698, 13743}, {12738, 12937}, {13205, 22836}, {13621, 45767}, {14882, 41689}, {18516, 38755}, {21669, 61605}, {22935, 37621}, {29137, 53873}, {37820, 51517}

X(62395) = reflection of X(i) in X(j) for these {i,j}: {35451, 17100}
X(62395) = inverse of X(61524) in circumcircle
X(62395) = inverse of X(8) in Stammler circle
X(62395) = X(i)-vertex conjugate of X(j) for these {i, j}: {900, 61524}
X(62395) = pole of line {900, 61524} with respect to the circumcircle
X(62395) = pole of line {8, 900} with respect to the Stammler circle
X(62395) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {100, 104, 61524}, {952, 17100, 35451}, {12331, 12773, 8}, {17100, 35451, 3}

X(62396) = INVERSE OF X(8) IN KIEPERT HYPERBOLA

X(62396) lies on these lines: {8, 115}, {45, 1213}, {145, 62322}, {148, 62400}, {3616, 23903}, {3813, 36637}, {3832, 32431}, {4058, 20653}, {10026, 20053}, {17058, 62403}, {17316, 31031}, {19877, 51586}, {20050, 53426}, {23947, 29627}, {31644, 36223}

X(62397) = INVERSE OF X(8) IN KIEPERT PARABOLA

X(62397) lies on these lines: {2, 62329}, {8, 523}, {318, 18808}, {525, 4644}, {643, 4427}, {3178, 4064}, {3661, 14977}, {3758, 53374}, {4086, 6757}, {4996, 46616}, {5222, 18311}, {5749, 45801}, {17360, 53378}, {42005, 52356}

X(62398) = INVERSE OF X(8) IN STEINER INELLIPSE

X(62398) lies on these lines: {1, 2}, {7, 59579}, {9, 21255}, {45, 50092}, {141, 6666}, {142, 4363}, {144, 15828}, {190, 4887}, {226, 24796}, {241, 24036}, {344, 3663}, {345, 24175}, {346, 4859}, {514, 4521}, {515, 19512}, {516, 3836}, {524, 6687}, {527, 3834}, {536, 17067}, {599, 3707}, {742, 4698}, {942, 39589}, {1001, 21529}, {1086, 2325}, {1266, 17264}, {1376, 52015}, {1445, 59682}, {1574, 4515}, {1738, 4693}, {1743, 4869}, {2223, 44304}, {2321, 17119}, {2345, 20195}, {3161, 4862}, {3452, 34847}, {3618, 49783}, {3628, 29331}, {3662, 25101}, {3664, 3758}, {3672, 4098}, {3673, 18743}, {3686, 17231}, {3717, 24841}, {3739, 58433}, {3752, 3991}, {3763, 5257}, {3772, 21096}, {3817, 7402}, {3823, 5853}, {3848, 58628}, {3879, 17241}, {3911, 36954}, {3934, 6706}, {3943, 28313}, {3946, 17243}, {3950, 4000}, {3973, 21296}, {3975, 30866}, {3986, 17306}, {4021, 16706}, {4029, 17301}, {4035, 37679}, {4072, 17151}, {4078, 4353}, {4297, 7397}, {4357, 17263}, {4358, 20432}, {4395, 17133}, {4405, 50084}, {4416, 17232}, {4431, 17268}, {4465, 19593}, {4473, 4480}, {4488, 4902}, {4643, 60986}, {4667, 17313}, {4675, 50115}, {4687, 27487}, {4700, 17374}, {4708, 20582}, {4758, 49738}, {4851, 4856}, {4896, 50127}, {4909, 17317}, {4967, 17285}, {4982, 50125}, {4997, 6549}, {5248, 21514}, {5249, 41242}, {5316, 30811}, {5745, 18214}, {5750, 17245}, {5847, 31289}, {5850, 49676}, {6173, 54389}, {6554, 30827}, {6692, 21258}, {6996, 28164}, {6999, 28158}, {7232, 60942}, {7377, 12571}, {10171, 30825}, {11814, 30837}, {12436, 37326}, {12512, 36698}, {12572, 30810}, {16594, 30823}, {16814, 48632}, {17060, 24685}, {17227, 50093}, {17258, 31333}, {17259, 61001}, {17272, 18230}, {17280, 24199}, {17290, 41313}, {17296, 37650}, {17298, 26685}, {17345, 61000}, {17351, 60980}, {17354, 50116}, {17358, 27147}, {17359, 34824}, {17381, 49754}, {17398, 49756}, {17675, 30826}, {17776, 24177}, {17789, 30829}, {17861, 20946}, {18139, 41241}, {18250, 30847}, {18840, 56226}, {19815, 23537}, {20337, 30860}, {21542, 25524}, {21629, 43151}, {24170, 33116}, {24192, 32851}, {24209, 37788}, {24231, 24821}, {24778, 27514}, {25093, 44307}, {25351, 28580}, {25440, 37272}, {25498, 50013}, {25568, 59686}, {25590, 60996}, {25957, 40998}, {27384, 59725}, {27475, 49479}, {27484, 49504}, {28526, 53600}, {28639, 51126}, {30818, 49757}, {30819, 43040}, {31647, 62297}, {32935, 43180}, {33144, 59732}, {35094, 35111}, {37075, 48863}, {37169, 48835}, {37269, 49553}, {38059, 50295}, {38186, 49529}, {38204, 50314}, {39564, 50394}, {42697, 50118}, {47355, 49752}, {48932, 58441}, {49491, 51057}, {49536, 59405}, {58466, 62388}

X(62398) = midpoint of X(i) and X(j) for these {i,j}: {2, 41141}, {10, 49768}, {141, 49775}, {190, 4887}, {239, 49765}, {1086, 2325}, {1125, 49769}, {3008, 3912}, {3686, 49776}, {3834, 4422}, {4700, 17374}, {6542, 50019}, {35094, 40869}, {49764, 50022}, {49766, 50023}
X(62398) = reflection of X(i) in X(j) for these {i,j}: {10529, 34747}, {17067, 40480}
X(62398) = inverse of X(3621) in Steiner circumellipse
X(62398) = inverse of X(8) in Steiner inellipse
X(62398) = complement of X(3008)
X(62398) = perspector of circumconic {{A, B, C, X(190), X(4373)}}
X(62398) = X(i)-Ceva conjugate of X(j) for these {i, j}: {53337, 918}
X(62398) = X(i)-complementary conjugate of X(j) for these {i, j}: {6, 40609}, {41, 35111}, {513, 5519}, {667, 61074}, {1280, 141}, {1477, 142}, {1810, 18589}, {3433, 56796}, {6078, 513}, {35160, 17046}, {35355, 116}, {36807, 2887}, {37626, 17059}, {43760, 2886}, {56643, 17060}
X(62398) = pole of line {6546, 31197} with respect to the 1st Yff-Moses hyperbola
X(62398) = pole of line {4057, 36641} with respect to the circumcircle
X(62398) = pole of line {3667, 10443} with respect to the excircles-radical circle
X(62398) = pole of line {3667, 4862} with respect to the incircle
X(62398) = pole of line {23305, 44316} with respect to the nine-point circle
X(62398) = pole of line {3667, 53583} with respect to the orthoptic circle of the Steiner Inellipse
X(62398) = pole of line {9, 3667} with respect to the Spieker circle
X(62398) = pole of line {3057, 36639} with respect to the Feuerbach hyperbola
X(62398) = pole of line {1213, 17058} with respect to the Kiepert hyperbola
X(62398) = pole of line {514, 3621} with respect to the Steiner circumellipse
X(62398) = pole of line {8, 514} with respect to the Steiner inellipse
X(62398) = pole of line {190, 4962} with respect to the Yff parabola
X(62398) = pole of line {86, 31191} with respect to the Wallace hyperbola
X(62398) = pole of line {4025, 44416} with respect to the dual conic of anticomplementary circle
X(62398) = pole of line {3239, 3772} with respect to the dual conic of DeLongchamps circle
X(62398) = pole of line {3239, 6545} with respect to the dual conic of incircle
X(62398) = pole of line {3239, 51780} with respect to the dual conic of Longuet-Higgins circle
X(62398) = pole of line {2, 1280} with respect to the dual conic of Yff parabola
X(62398) = pole of line {3120, 14321} with respect to the dual conic of Wallace hyperbola
X(62398) = pole of line {3239, 21204} with respect to the dual conic of Suppa-Cucoanes circle
X(62398) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(4864)}}, {{A, B, C, X(2), X(43948)}}, {{A, B, C, X(7), X(31189)}}, {{A, B, C, X(8), X(36954)}}, {{A, B, C, X(75), X(31183)}}, {{A, B, C, X(86), X(31191)}}, {{A, B, C, X(145), X(514)}}, {{A, B, C, X(310), X(31199)}}, {{A, B, C, X(335), X(29607)}}, {{A, B, C, X(596), X(16020)}}, {{A, B, C, X(1016), X(3621)}}, {{A, B, C, X(1268), X(31211)}}, {{A, B, C, X(3008), X(36807)}}, {{A, B, C, X(3617), X(18840)}}, {{A, B, C, X(3911), X(20042)}}, {{A, B, C, X(4358), X(20058)}}, {{A, B, C, X(4521), X(15519)}}, {{A, B, C, X(6384), X(31200)}}, {{A, B, C, X(6630), X(20014)}}, {{A, B, C, X(7081), X(27831)}}, {{A, B, C, X(16834), X(52209)}}, {{A, B, C, X(20049), X(35168)}}, {{A, B, C, X(29572), X(40098)}}, {{A, B, C, X(45677), X(52907)}}
X(62398) = barycentric product X(i)*X(j) for these (i, j): {4864, 75}
X(62398) = barycentric quotient X(i)/X(j) for these (i, j): {4864, 1}
X(62398) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 2, 31191}, {1, 29600, 29606}, {1, 29627, 29600}, {2, 10, 31211}, {2, 10453, 31200}, {2, 145, 31189}, {2, 17135, 31199}, {2, 17230, 29628}, {2, 17244, 17023}, {2, 17266, 3912}, {2, 17292, 24603}, {2, 29569, 29630}, {2, 29571, 1125}, {2, 29572, 17367}, {2, 29579, 4384}, {2, 29587, 16815}, {2, 29596, 29604}, {2, 29599, 17397}, {2, 29604, 3634}, {2, 29611, 16832}, {2, 29627, 1}, {2, 29629, 29596}, {2, 30813, 11019}, {2, 30821, 3741}, {2, 30822, 3840}, {2, 30833, 8}, {2, 3912, 3008}, {2, 5308, 29598}, {2, 6542, 29607}, {2, 8, 31183}, {8, 31145, 19877}, {8, 3632, 51068}, {8, 60374, 60421}, {9, 21255, 53598}, {9, 53665, 21255}, {10, 49458, 3626}, {10, 49768, 519}, {10, 551, 36479}, {142, 17279, 17355}, {239, 3912, 49765}, {344, 17282, 3663}, {344, 3663, 59585}, {346, 4859, 53594}, {519, 34747, 10529}, {536, 40480, 17067}, {1086, 2325, 17132}, {1125, 3621, 20050}, {1125, 4678, 53620}, {3008, 49765, 239}, {3008, 50019, 41140}, {3617, 3621, 51093}, {3617, 3625, 56797}, {3617, 3636, 9780}, {3624, 29815, 26047}, {3625, 4668, 3621}, {3626, 34595, 3617}, {3626, 53614, 20014}, {3834, 4422, 527}, {3912, 17266, 41141}, {3912, 29607, 50019}, {3912, 41140, 6542}, {3912, 49770, 17310}, {4357, 17263, 25072}, {4384, 29579, 29594}, {4393, 29582, 29601}, {4678, 46933, 38098}, {4701, 53619, 31145}, {5222, 29573, 3244}, {5297, 51615, 28257}, {5308, 29598, 551}, {16831, 16832, 24331}, {16832, 17284, 29611}, {16832, 29611, 10}, {16833, 29616, 3625}, {17014, 29602, 51071}, {17020, 29605, 29627}, {17230, 29628, 50095}, {17231, 17337, 3686}, {17232, 17338, 4416}, {17234, 17341, 17353}, {17234, 17353, 3664}, {17241, 17352, 3879}, {17243, 17356, 3946}, {17245, 17357, 5750}, {17263, 17283, 4357}, {17264, 27191, 1266}, {17265, 17279, 142}, {17267, 17278, 2321}, {17310, 29590, 49770}, {17367, 29572, 29574}, {20053, 56798, 52907}, {20582, 31285, 4708}, {21267, 31145, 20053}, {29632, 60423, 6745}, {31243, 41310, 1086}

X(62399) = INVERSE OF X(8) IN YFF PARABOLA

X(62399) lies on these lines: {8, 514}, {85, 4391}, {190, 644}, {318, 53150}, {522, 4454}, {824, 48304}, {905, 26690}, {2345, 21133}, {3239, 29627}, {4025, 5222}, {4384, 53362}, {4444, 52085}, {4560, 40403}, {4779, 30573}, {5749, 21202}, {6332, 56937}, {7192, 24632}, {7658, 31189}, {7985, 30519}, {17316, 25259}, {18821, 35158}, {21296, 23730}, {28734, 47796}, {28840, 50215}, {28898, 49499}, {31995, 42462}, {42697, 60479}, {54019, 60902}, {60480, 60481}

X(62400) = INVERSE OF X(8) IN WALLACE HYPERBOLA

X(62400) lies on these lines: {2, 62322}, {7, 21}, {8, 99}, {145, 6629}, {148, 62396}, {191, 17136}, {261, 31995}, {329, 40592}, {543, 23942}, {662, 6172}, {1019, 3730}, {1414, 3160}, {1509, 38314}, {1931, 5222}, {2185, 28610}, {3177, 4560}, {3241, 32004}, {4299, 56984}, {4393, 18206}, {4419, 16702}, {4488, 27958}, {4616, 36888}, {4622, 36887}, {4921, 35935}, {5051, 59538}, {5267, 20347}, {5296, 59631}, {5550, 32014}, {5744, 24624}, {6626, 9780}, {11037, 37029}, {14588, 36223}, {14828, 17574}, {14953, 55868}, {16887, 17539}, {17151, 27368}, {17190, 20078}, {17343, 45017}, {17731, 20050}, {18600, 52680}, {25278, 55243}, {27040, 59625}, {29579, 31059}, {36521, 50276}, {46707, 52695}, {50215, 59634}

X(62400) = inverse of X(8) in Wallace hyperbola
X(62400) = anticomplement of X(62322)
X(62400) = X(i)-Dao conjugate of X(j) for these {i, j}: {62322, 62322}
X(62400) = pole of line {8, 12943} with respect to the Wallace hyperbola
X(62400) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(16133)}}, {{A, B, C, X(2), X(41807)}}, {{A, B, C, X(7), X(35141)}}, {{A, B, C, X(8), X(17768)}}, {{A, B, C, X(56), X(28471)}}, {{A, B, C, X(3649), X(5558)}}, {{A, B, C, X(7677), X(15446)}}, {{A, B, C, X(8543), X(56027)}}, {{A, B, C, X(36588), X(41804)}}
X(62400) = barycentric product X(i)*X(j) for these (i, j): {60942, 86}
X(62400) = barycentric quotient X(i)/X(j) for these (i, j): {60942, 10}
X(62400) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {21, 1434, 17201}, {1434, 17201, 17169}

X(62401) = INVERSE OF X(8) IN DUAL CONIC OF 1ST YFF-MOSES HYPERBOLA

X(62401) lies on these lines: {1, 2}, {513, 4922}, {517, 50002}, {518, 41683}, {740, 17460}, {960, 49981}, {1284, 1317}, {1320, 32922}, {1757, 9457}, {2802, 17495}, {3701, 45219}, {3877, 49447}, {3880, 4706}, {3898, 3995}, {3899, 20068}, {3902, 49468}, {4080, 61476}, {5919, 49462}, {6224, 49704}, {9263, 20072}, {9802, 62392}

X(62402) = INVERSE OF X(8) IN DUAL CONIC OF POLAR CIRCLE

X(62402) lies on these lines: {2, 46017}, {3, 77}, {7, 8}, {46, 269}, {57, 394}, {59, 1155}, {222, 22123}, {226, 343}, {241, 2245}, {273, 10446}, {279, 51497}, {296, 31637}, {347, 14110}, {407, 5929}, {511, 1876}, {517, 22464}, {521, 4025}, {651, 2182}, {653, 1944}, {908, 21452}, {912, 52392}, {914, 51368}, {934, 2745}, {942, 5562}, {1092, 37582}, {1214, 56553}, {1352, 1892}, {1425, 37613}, {1426, 10441}, {1440, 6890}, {1442, 2646}, {1445, 14524}, {1813, 6510}, {1875, 17139}, {1893, 48902}, {2252, 3942}, {2262, 37800}, {3101, 34035}, {3664, 13750}, {3911, 11064}, {3912, 23983}, {4341, 59317}, {4511, 14203}, {4605, 29069}, {5122, 51394}, {5219, 37638}, {5224, 53821}, {5435, 37669}, {5719, 44683}, {5932, 6836}, {6001, 36918}, {6505, 7011}, {6917, 10400}, {7289, 19350}, {7352, 41004}, {7386, 10360}, {8807, 37185}, {9119, 26540}, {10374, 10431}, {15803, 35602}, {16091, 56869}, {17080, 46330}, {18607, 40152}, {20245, 57810}, {20744, 52610}, {22097, 37755}, {23101, 36279}, {24611, 34042}, {28739, 43216}, {33645, 59813}, {33949, 53818}, {36589, 44663}, {37374, 51364}, {40576, 41339}, {41673, 59817}, {45919, 50336}, {53997, 55119}

X(62402) = anticomplement of X(62326)
X(62402) = perspector of circumconic {{A, B, C, X(348), X(4554)}}
X(62402) = X(i)-isoconjugate-of-X(j) for these {i, j}: {4, 2342}, {19, 52663}, {25, 51565}, {33, 104}, {41, 16082}, {55, 36123}, {281, 909}, {318, 34858}, {522, 14776}, {607, 34234}, {663, 1309}, {1096, 1809}, {1172, 2250}, {1783, 61238}, {1795, 1857}, {1973, 36795}, {2212, 18816}, {2299, 38955}, {3064, 32641}, {3239, 32702}, {3900, 36110}, {3939, 43933}, {7008, 15501}, {7079, 34051}, {8750, 43728}, {14936, 39294}, {18344, 36037}, {23615, 59103}, {40437, 52427}
X(62402) = X(i)-Dao conjugate of X(j) for these {i, j}: {6, 52663}, {223, 36123}, {226, 38955}, {908, 5081}, {1145, 7046}, {3160, 16082}, {3259, 18344}, {3911, 38462}, {6337, 36795}, {6503, 1809}, {6505, 51565}, {16586, 318}, {23980, 281}, {25640, 1857}, {26932, 43728}, {36033, 2342}, {39004, 3900}, {39006, 61238}, {40613, 33}, {40617, 43933}, {46398, 44426}, {57293, 53549}, {60339, 1146}, {62326, 62326}
X(62402) = X(i)-Ceva conjugate of X(j) for these {i, j}: {17139, 22464}, {34401, 26611}, {56666, 16586}
X(62402) = pole of line {222, 3669} with respect to the incircle
X(62402) = pole of line {1857, 18344} with respect to the polar circle
X(62402) = pole of line {1864, 2194} with respect to the Stammler hyperbola
X(62402) = pole of line {347, 693} with respect to the Steiner circumellipse
X(62402) = pole of line {4885, 17073} with respect to the Steiner inellipse
X(62402) = pole of line {21, 1809} with respect to the Wallace hyperbola
X(62402) = pole of line {8, 521} with respect to the dual conic of polar circle
X(62402) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3), X(8)}}, {{A, B, C, X(7), X(7053)}}, {{A, B, C, X(65), X(1410)}}, {{A, B, C, X(69), X(1804)}}, {{A, B, C, X(75), X(77)}}, {{A, B, C, X(85), X(7177)}}, {{A, B, C, X(296), X(518)}}, {{A, B, C, X(320), X(1797)}}, {{A, B, C, X(322), X(908)}}, {{A, B, C, X(377), X(859)}}, {{A, B, C, X(388), X(1457)}}, {{A, B, C, X(912), X(52407)}}, {{A, B, C, X(1155), X(35014)}}, {{A, B, C, X(1439), X(1441)}}, {{A, B, C, X(1459), X(43947)}}, {{A, B, C, X(1769), X(51661)}}, {{A, B, C, X(1795), X(2323)}}, {{A, B, C, X(2182), X(14203)}}, {{A, B, C, X(2183), X(2550)}}, {{A, B, C, X(3059), X(22079)}}, {{A, B, C, X(3310), X(57031)}}, {{A, B, C, X(4511), X(46974)}}, {{A, B, C, X(7056), X(42697)}}, {{A, B, C, X(17102), X(52344)}}, {{A, B, C, X(22123), X(41389)}}, {{A, B, C, X(39126), X(56972)}}
X(62402) = barycentric product X(i)*X(j) for these (i, j): {77, 908}, {222, 3262}, {279, 51379}, {348, 517}, {1014, 51367}, {1214, 17139}, {1231, 859}, {1275, 35014}, {1457, 304}, {1465, 69}, {1785, 7183}, {1813, 36038}, {1875, 3926}, {2183, 7182}, {4554, 8677}, {4569, 52307}, {6735, 7177}, {10015, 6516}, {14571, 7055}, {15413, 23981}, {16586, 52392}, {22350, 85}, {22464, 63}, {23706, 30805}, {24029, 4025}, {27832, 51433}, {30682, 51380}, {46974, 56666}
X(62402) = barycentric quotient X(i)/X(j) for these (i, j): {3, 52663}, {7, 16082}, {48, 2342}, {57, 36123}, {63, 51565}, {69, 36795}, {73, 2250}, {77, 34234}, {222, 104}, {348, 18816}, {394, 1809}, {517, 281}, {603, 909}, {651, 1309}, {859, 1172}, {905, 43728}, {908, 318}, {1214, 38955}, {1231, 57984}, {1361, 14571}, {1415, 14776}, {1457, 19}, {1459, 61238}, {1461, 36110}, {1465, 4}, {1769, 3064}, {1813, 36037}, {1875, 393}, {2183, 33}, {2427, 56183}, {3262, 7017}, {3310, 18344}, {3669, 43933}, {4091, 37628}, {6516, 13136}, {6735, 7101}, {7011, 15501}, {7045, 39294}, {7053, 34051}, {7125, 1795}, {7335, 14578}, {8677, 650}, {10015, 44426}, {14571, 1857}, {16586, 5081}, {17139, 31623}, {21801, 53008}, {22128, 56757}, {22350, 9}, {22464, 92}, {23220, 3063}, {23788, 57215}, {23981, 1783}, {24029, 1897}, {35014, 1146}, {36038, 46110}, {36059, 32641}, {42753, 8735}, {51367, 3701}, {51379, 346}, {52307, 3900}, {52411, 34858}, {52659, 38462}, {53530, 8756}, {53548, 5089}, {56973, 2182}, {57478, 1320}, {60000, 36121}
X(62402) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {77, 7013, 1804}, {40152, 44708, 18607}

X(62403) = INVERSE OF X(8) IN DUAL CONIC OF YFF PARABOLA

X(62403) lies on these lines: {2, 2415}, {7, 1992}, {8, 599}, {519, 7613}, {524, 4402}, {597, 4000}, {903, 6172}, {1266, 29627}, {2796, 16020}, {3241, 5853}, {3616, 4779}, {4346, 50093}, {4371, 22165}, {4385, 60143}, {4398, 60996}, {4452, 29573}, {4454, 17067}, {4644, 20583}, {4675, 20057}, {4740, 27474}, {4869, 17133}, {4887, 24599}, {4912, 37650}, {5222, 50128}, {5550, 41311}, {5564, 50994}, {5749, 49727}, {7222, 47352}, {7263, 17293}, {7321, 59373}, {9776, 50102}, {9779, 50533}, {10005, 50092}, {11160, 17363}, {14475, 44551}, {16834, 59375}, {17058, 62396}, {17301, 38314}, {18230, 49748}, {21356, 32087}, {26806, 31313}, {27184, 41926}, {27818, 40617}, {28530, 31139}, {31183, 31722}, {36588, 36807}, {41140, 60984}, {50101, 59374}

X(62403) = midpoint of X(i) and X(j) for these {i,j}: {2, 4373}
X(62403) = reflection of X(i) in X(j) for these {i,j}: {2, 4859}, {3161, 2}
X(62403) = pole of line {3667, 47871} with respect to the Steiner circumellipse
X(62403) = pole of line {3667, 45677} with respect to the Steiner inellipse
X(62403) = pole of line {8, 17132} with respect to the dual conic of Yff parabola
X(62403) = intersection, other than A, B, C, of circumconics {{A, B, C, X(17132), X(27818)}}, {{A, B, C, X(47636), X(60143)}}
X(62403) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17132, 3161}, {2, 24175, 28655}, {2, 28655, 4052}, {2, 4373, 17132}, {3161, 4052, 4373}, {4454, 17067, 31189}, {4859, 17132, 2}

X(62404) = X(1113)X(3414)∩X(1114)X(3413)

X(62404) lies on the circumcircle and these lines: {3, 67}, {4, 13870}, {111, 2470}, {1113, 3414}, {1114, 3413}, {1340, 13414}, {1341, 13415}, {1344, 31862}, {1345, 31863}, {1379, 2575}, {1380, 2574}

X(62404) = reflection of X(4) in X(13870)
X(62404) = reflection of X(62407) in X(3)
X(62404) = Collings transform of X(13870)
X(62404) = {X(35607),X(35609)}-harmonic conjugate of X(2470)

X(62405) = X(1113)X(3308)∩X(1114)X(3307)

X(62405) lies on the circumcircle and these lines: {3, 191}, {1113, 3308}, {1114, 3307}, {1381, 2575}, {1382, 2574}

X(62405) = reflection of X(62408) in X(3)

X(62406) = X(1379)X(3308)∩X(1380)X(3307)

X(62406) lies on the circumcircle and these lines: {3, 2783}, {1379, 3308}, {1380, 3307}, {1381, 3414}, {1382, 3413}

X(62406) = reflection of X(62409) in X(3)

X(62407) = X(1113)X(3413)∩X(1114)X(3414)

X(62407) lies on the circumcircle and these lines: {2, 13870}, {3, 67}, {111, 2469}, {1113, 3413}, {1114, 3414}, {1340, 13415}, {1341, 13414}, {1344, 31863}, {1345, 31862}, {1379, 2574}, {1380, 2575}

X(62407) = reflection of X(62404) in X(3)
X(62407) = anticomplement of X(13870)
X(62407) = {X(14899),X(35608)}-harmonic conjugate of X(2469)

X(62408) = X(1113)X(3307)∩X(1114)X(3308)

X(62408) lies on the circumcircle and these lines: {3, 191}, {1113, 3307}, {1114, 3308}, {1381, 2574}, {1382, 2575}

X(62408) = reflection of X(62405) in X(3)

X(62409) = X(1379)X(3307)∩X(1380)X(3308)

X(62409) lies on the circumcircle and these lines: {3, 2783}, {1379, 3307}, {1380, 3308}, {1381, 3413}, {1382, 3414}

X(62409) = reflection of X(62406) in X(3)

X(62410) = CROSSSUM OF PU(217)

X(62410) lies on these lines: {99, 669}, {110, 53621}, {385, 3291}, {647, 18829}, {799, 53624}, {805, 3222}, {1078, 2142}, {1799, 37880}, {9514, 17941}, {14607, 57150}, {35060, 56430}

X(62410) = isogonal conjugate of the isotomic conjugate of X(9428)
X(62410) = X(6)-Ceva conjugate of X(99)
X(62410) = X(798)-isoconjugate of X(46274)
X(62410) = X(i)-Dao conjugate of X(j) for these (i,j): {670, 76}, {31998, 46274}
X(62410) = trilinear pole of line {9431, 25054}
X(62410) = crossdifference of every pair of points on line {1645, 14824}
X(62410) = barycentric product X(i)*X(j) for these {i,j}: {6, 9428}, {99, 25054}, {670, 9431}, {799, 39337}, {6331, 23180}, {34537, 38237}
X(62410) = barycentric quotient X(i)/X(j) for these {i,j}: {99, 46274}, {9428, 76}, {9431, 512}, {23180, 647}, {25054, 523}, {38237, 3124}, {39337, 661}
X(62410) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {669, 34537, 99}, {9150, 34537, 669}

X(62411) = MIDPOINT OF PU(105)

X(62411) lies on these lines: {2, 23356}, {3, 5106}, {115, 11176}, {351, 865}, {2502, 6786}, {7600, 9130}, {9151, 32472}, {9828, 10418}, {35078, 45317}

X(62411) = circumcircle-inverse of X(20998)
X(62411) = Parry-circle-inverse of X(3124)
X(62411) = crossdifference of every pair of points on line {99, 11176}
X(62411) = X(i)-line conjugate of X(j) for these (i,j): {2, 23356}, {115, 11176}

X(62412) = IDEAL POINT OF PU(107)

X(62412) lies on these lines: {6, 9208}, {30, 511}, {351, 39689}, {575, 11621}, {576, 11622}, {892, 13170}, {1641, 6786}, {1648, 6784}, {2679, 41177}, {3569, 9171}, {5113, 9188}, {9178, 39232}, {45336, 45690}, {53347, 53365}

X(62412) = crossdifference of every pair of points on line {6, 598}
X(62412) = X(i)-lineconjugate of X(j) for these (i,j): {30, 9830}, {9208, 6}
X(62412) = barycentric quotient X(52751)/X(28163)

X(62413) = CEVAPOINT OF PU(219)

X(62413) lies on these lines: {2, 9460}, {519, 4480}, {545, 6630}, {2726, 53634}, {4358, 49779}, {4440, 35168}, {8046, 42026}, {34764, 44009}, {35092, 54974}

X(62413) = reflection of X(54974) in X(35092)
X(62413) = isogonal conjugate of X(21781)
X(62413) = isotomic conjugate of X(17487)
X(62413) = anticomplement of X(9460)
X(62413) = antitomic conjugate of X(54974)
X(62413) = isotomic conjugate of the anticomplement of X(903)
X(62413) = X(9325)-anticomplementary conjugate of X(21282)
X(62413) = X(i)-isoconjugate of X(j) for these (i,j): {1, 21781}, {6, 9324}, {19, 23081}, {31, 17487}, {44, 41461}, {58, 21885}, {101, 9269}, {902, 9326}, {1960, 9272}, {2251, 9460}
X(62413) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 17487}, {3, 21781}, {6, 23081}, {9, 9324}, {10, 21885}, {1015, 9269}, {40594, 9326}, {40595, 41461}
X(62413) = cevapoint of X(514) and X(35092)
X(62413) = trilinear pole of line {900, 4928}
X(62413) = barycentric product X(i)*X(j) for these {i,j}: {75, 9325}, {693, 9271}
X(62413) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 9324}, {2, 17487}, {3, 23081}, {6, 21781}, {37, 21885}, {88, 9326}, {106, 41461}, {513, 9269}, {903, 9460}, {3257, 9272}, {9271, 100}, {9325, 1}, {53634, 901}

X(62414) = BICENTRIC SUM OF PU(222)

X(62414) lies on the Brocard inellipse and these lines: {6, 753}, {8, 32452}, {115, 34387}, {574, 4996}, {1015, 23646}, {1491, 53823}, {1916, 56660}, {1977, 20974}, {2092, 3033}, {2968, 41172}, {3124, 6377}, {7087, 9233}, {9427, 20982}, {9561, 59800}, {16975, 32454}, {20860, 39686}

X(62414) = isogonal conjugate of the isotomic conjugate of X(61065)
X(62414) = X(i)-Ceva conjugate of X(j) for these (i,j): {6, 3250}, {75, 50549}, {1916, 4486}, {7087, 8630}, {8852, 58864}, {34250, 58862}
X(62414) = X(i)-isoconjugate of X(j) for these (i,j): {789, 825}, {1492, 4586}, {5384, 14621}, {34069, 37133}
X(62414) = X(i)-Dao conjugate of X(j) for these (i,j): {788, 32}, {824, 76}, {3805, 6645}, {27481, 5388}, {30665, 4366}, {33568, 35548}, {38995, 4586}, {55049, 1492}, {61065, 37133}
X(62414) = crossdifference of every pair of points on line {4586, 33904}
X(62414) = barycentric product X(i)*X(j) for these {i,j}: {6, 61065}, {11, 12837}, {824, 3250}, {984, 4475}, {1491, 1491}, {1502, 55049}, {3120, 4476}, {3125, 4469}, {4486, 30671}, {8630, 30870}
X(62414) = barycentric quotient X(i)/X(j) for these {i,j}: {788, 1492}, {824, 37133}, {869, 5384}, {1491, 789}, {3250, 4586}, {3661, 5388}, {4469, 4601}, {4475, 870}, {4476, 4600}, {8630, 34069}, {12837, 4998}, {30671, 37207}, {46386, 825}, {55049, 32}, {61065, 76}

X(62415) = TRILINEAR PRODUCT OF PU(223)

X(62415) lies on these lines: {75, 29370}, {313, 3261}, {512, 50452}, {513, 18160}, {514, 661}, {522, 4357}, {649, 24287}, {667, 26248}, {668, 36236}, {768, 8061}, {814, 7255}, {816, 1919}, {826, 850}, {832, 21304}, {834, 18076}, {885, 48172}, {900, 50450}, {1491, 30639}, {1734, 4467}, {2517, 4374}, {2787, 58862}, {3004, 21051}, {3126, 47808}, {4025, 17072}, {4086, 4509}, {4369, 24601}, {4379, 54253}, {4453, 29212}, {4705, 45746}, {4951, 33931}, {4985, 23794}, {6004, 21303}, {7192, 21301}, {7199, 50334}, {14431, 44435}, {15419, 48246}, {16892, 21053}, {17217, 50331}, {18072, 18133}, {20245, 46402}, {20295, 48267}, {20948, 35559}, {21261, 50454}, {21302, 53335}, {23829, 50337}, {24290, 25259}, {26580, 47790}, {27575, 47667}, {27610, 49282}, {28372, 30060}, {29017, 35519}, {29070, 58864}, {29324, 57244}, {30709, 47780}, {47129, 48044}, {47655, 47709}, {47656, 47708}, {47657, 47706}, {48274, 48400}, {50350, 57214}

X(62415) = reflection of X(i) in X(j) for these {i,j}: {1919, 8060}, {8061, 21262}, {50454, 21261}
X(62415) = isogonal conjugate of X(34069)
X(62415) = isotomic conjugate of X(1492)
X(62415) = isotomic conjugate of the anticomplement of X(55061)
X(62415) = isotomic conjugate of the isogonal conjugate of X(1491)
X(62415) = isogonal conjugate of the isotomic conjugate of X(30870)
X(62415) = X(3415)-anticomplementary conjugate of X(4440)
X(62415) = X(i)-Ceva conjugate of X(j) for these (i,j): {327, 34387}, {789, 75}, {4505, 33931}, {27475, 20901}, {52611, 20234}
X(62415) = X(i)-isoconjugate of X(j) for these (i,j): {1, 34069}, {6, 825}, {31, 1492}, {32, 4586}, {101, 40746}, {163, 40747}, {560, 789}, {667, 5384}, {692, 985}, {1415, 2344}, {1501, 37133}, {1576, 40718}, {1917, 46132}, {2206, 4613}, {2210, 30664}, {3778, 58111}, {4817, 23990}, {7122, 30670}, {9233, 52611}, {14599, 37207}, {14621, 32739}, {18892, 41072}, {33514, 40935}
X(62415) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 1492}, {3, 34069}, {9, 825}, {115, 40747}, {824, 1491}, {1015, 40746}, {1086, 985}, {1146, 2344}, {3789, 692}, {4858, 40718}, {6374, 789}, {6376, 4586}, {6627, 40751}, {6631, 5384}, {10335, 3888}, {19584, 101}, {27481, 100}, {38995, 31}, {40603, 4613}, {40619, 14621}, {40624, 52133}, {55049, 32}, {61065, 1}
X(62415) = cevapoint of X(824) and X(4522)
X(62415) = crossdifference of every pair of points on line {31, 1501}
X(62415) = barycentric product X(i)*X(j) for these {i,j}: {6, 30870}, {75, 824}, {76, 1491}, {85, 4522}, {274, 4122}, {313, 4481}, {334, 4486}, {350, 23596}, {514, 33931}, {561, 3250}, {693, 3661}, {788, 1502}, {789, 61065}, {850, 40773}, {984, 3261}, {1086, 4505}, {1111, 3807}, {1577, 30966}, {1916, 30639}, {1928, 46386}, {1978, 4475}, {2276, 40495}, {3736, 20948}, {3773, 7199}, {3790, 24002}, {3799, 23989}, {3805, 44187}, {4391, 7179}, {4818, 40023}, {4951, 20569}, {7087, 30872}, {7146, 35519}, {7204, 52622}, {8630, 40362}, {14208, 31909}, {16603, 18155}, {18891, 30671}, {18895, 30665}, {20906, 51837}, {44170, 58864}
X(62415) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 825}, {2, 1492}, {6, 34069}, {75, 4586}, {76, 789}, {190, 5384}, {257, 30670}, {321, 4613}, {334, 37207}, {335, 30664}, {513, 40746}, {514, 985}, {522, 2344}, {523, 40747}, {561, 37133}, {693, 14621}, {788, 32}, {824, 1}, {869, 32739}, {984, 101}, {1111, 4817}, {1469, 1415}, {1491, 6}, {1502, 46132}, {1577, 40718}, {1928, 52611}, {2276, 692}, {3250, 31}, {3261, 870}, {3314, 3888}, {3661, 100}, {3736, 163}, {3773, 1018}, {3775, 35342}, {3781, 906}, {3786, 5546}, {3790, 644}, {3792, 1983}, {3797, 3573}, {3799, 1252}, {3805, 172}, {3807, 765}, {3862, 34067}, {3864, 813}, {4122, 37}, {4374, 40745}, {4391, 52133}, {4439, 1023}, {4475, 649}, {4481, 58}, {4486, 238}, {4505, 1016}, {4522, 9}, {4818, 1449}, {4951, 45}, {6386, 5388}, {7146, 109}, {7179, 651}, {7204, 1461}, {8630, 1501}, {14436, 9459}, {16603, 4551}, {17415, 21751}, {18895, 41072}, {20444, 43289}, {20906, 52136}, {21196, 40751}, {23596, 291}, {27474, 54440}, {30639, 385}, {30654, 1933}, {30665, 1914}, {30671, 1911}, {30870, 76}, {30872, 40365}, {30966, 662}, {31909, 162}, {33904, 2243}, {33931, 190}, {35519, 52652}, {38810, 33514}, {40773, 110}, {45782, 34071}, {45882, 7122}, {46386, 560}, {46503, 61206}, {50451, 40722}, {50549, 16584}, {51837, 932}, {52029, 919}, {56784, 33946}, {58864, 14599}, {61065, 1491}
X(62415) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {693, 4391, 3766}, {2517, 15413, 4374}, {4036, 48084, 3261}, {4086, 4509, 20906}, {18072, 18158, 20954}, {18158, 20954, 50327}

X(62416) = CROSSSSUM OF PU(224)

X(62416) lies on these lines: {3, 35214}, {6, 755}, {32, 14370}, {39, 9480}, {99, 15588}, {148, 13519}, {574, 2936}, {1979, 23402}, {2353, 33786}, {3499, 46272}, {5113, 20998}, {5938, 51983}, {7669, 9431}, {9259, 16873}, {9482, 52696}, {10000, 24273}

X(62416) = isogonal conjugate of the isotomic conjugate of X(39346)
X(62416) = tangential-isogonal conjugate of X(9494)
X(62416) = crosspoint of PU(231)
X(62416) = X(3005)-Ceva conjugate of X(6)
X(62416) = X(4577)-Dao conjugate of X(689)
X(62416) = crossdifference of every pair of points on line {32193, 33907}
X(62416) = barycentric product X(i)*X(j) for these {i,j}: {1, 39336}, {6, 39346}
X(62416) = barycentric quotient X(i)/X(j) for these {i,j}: {39336, 75}, {39346, 76}

X(62417) = CROSSSSUM OF PU(225)

X(62417) lies on the Brocard axis and these lines: {6, 755}, {76, 51982}, {115, 826}, {187, 9482}, {512, 24973}, {688, 59801}, {732, 45803}, {1977, 23646}, {3124, 5113}, {5104, 9019}, {5210, 33976}, {7772, 9480}, {8061, 55043}, {9408, 31390}, {9419, 42442}, {9427, 20975}, {9697, 42444}, {11205, 39689}, {14370, 59996}, {14913, 23642}, {19627, 56915}, {47421, 59804}

X(62417) = reflection of X(9482) in X(187)
X(62417) = isogonal conjugate of X(57545)
X(62417) = reflection of X(24973) in the Brocard axis
X(62417) = isogonal conjugate of the isotomic conjugate of X(15449)
X(62417) = X(i)-Ceva conjugate of X(j) for these (i,j): {6, 3005}, {2353, 9494}, {8041, 57132}, {14370, 512}, {39691, 15449}, {40362, 23285}, {59995, 2528}
X(62417) = X(i)-isoconjugate of X(j) for these (i,j): {1, 57545}, {662, 52936}, {689, 34072}, {827, 4593}, {4577, 4599}, {4630, 37204}, {24037, 59996}, {24041, 52395}, {56982, 59026}
X(62417) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 57545}, {339, 42371}, {512, 59996}, {688, 1501}, {826, 76}, {1084, 52936}, {3005, 52395}, {3124, 4577}, {6665, 34537}, {15449, 689}, {52042, 249}, {55043, 4593}, {55050, 827}
X(62417) = crossdifference of every pair of points on line {4577, 4630}
X(62417) = barycentric product X(i)*X(j) for these {i,j}: {6, 15449}, {39, 39691}, {115, 8041}, {338, 59994}, {512, 2528}, {523, 57132}, {688, 23285}, {826, 3005}, {850, 2531}, {1084, 59995}, {2353, 55070}, {2971, 4175}, {3124, 7794}, {8061, 8061}, {40362, 55050}, {41178, 56977}
X(62417) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 57545}, {512, 52936}, {688, 827}, {826, 689}, {882, 59026}, {1084, 59996}, {2084, 4599}, {2528, 670}, {2531, 110}, {3005, 4577}, {3124, 52395}, {7794, 34537}, {8041, 4590}, {8061, 4593}, {9494, 4630}, {15449, 76}, {23285, 42371}, {39691, 308}, {41178, 56976}, {55050, 1501}, {55070, 40073}, {57132, 99}, {59994, 249}, {59995, 44168}, {61052, 41284}

X(62418) = TRILINEAR PRODUCT OF PU(226)

X(62418) lies on these lines: {514, 661}, {799, 2644}, {818, 1980}, {826, 21125}, {850, 28654}, {2517, 48077}, {2533, 50496}, {3700, 4415}, {4010, 50486}, {4036, 4088}, {4086, 47700}, {4509, 47673}, {4724, 50327}, {4815, 47702}, {4985, 48032}, {7650, 47972}, {8060, 39179}, {8061, 16892}, {15413, 47971}, {18070, 18071}, {18136, 18155}, {20948, 33315}, {21108, 48278}, {21828, 27731}, {23731, 48152}, {24459, 55210}, {24719, 50329}, {30591, 47701}, {30870, 35553}, {35518, 47886}, {47937, 48109}, {48023, 50334}

X(62418) = reflection of X(39179) in X(8060)
X(62418) = isogonal conjugate of X(34072)
X(62418) = isotomic conjugate of X(4599)
X(62418) = isotomic conjugate of the isogonal conjugate of X(8061)
X(62418) = X(52123)-complementary conjugate of X(53564)
X(62418) = X(i)-Ceva conjugate of X(j) for these (i,j): {1, 20902}, {561, 1109}, {799, 20898}, {811, 23665}, {1577, 8061}, {4033, 21425}, {4593, 75}, {4602, 21424}, {36036, 2236}, {46244, 17879}, {48084, 826}, {55239, 1930}
X(62418) = X(i)-isoconjugate of X(j) for these (i,j): {1, 34072}, {2, 4630}, {6, 827}, {22, 58113}, {31, 4599}, {32, 4577}, {58, 4628}, {82, 163}, {83, 1576}, {99, 46288}, {110, 251}, {112, 1176}, {184, 42396}, {206, 53657}, {249, 18105}, {308, 14574}, {560, 4593}, {648, 10547}, {662, 46289}, {688, 57545}, {689, 1501}, {692, 52376}, {733, 56980}, {783, 51320}, {805, 56975}, {1101, 55240}, {1110, 39179}, {1634, 59996}, {1799, 61206}, {1917, 37204}, {2715, 51862}, {3051, 52936}, {3565, 33632}, {4563, 61383}, {4580, 57655}, {8265, 33515}, {8627, 58112}, {8793, 56008}, {9233, 42371}, {10329, 59076}, {11636, 58761}, {14586, 17500}, {14602, 41209}, {17938, 56976}, {18070, 23995}, {20859, 58114}, {23357, 58784}, {23963, 52618}, {23964, 58353}, {28724, 32713}, {32085, 32661}, {32676, 34055}, {32729, 52898}, {32739, 52394}, {33514, 43977}, {39287, 61194}, {41295, 43357}, {46228, 46970}, {46639, 51508}, {46765, 52915}, {51906, 59152}, {56915, 59026}, {57421, 61211}, {59004, 60587}
X(62418) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 4599}, {3, 34072}, {9, 827}, {10, 4628}, {39, 662}, {115, 82}, {141, 163}, {244, 251}, {339, 75}, {514, 39179}, {523, 55240}, {826, 8061}, {1084, 46289}, {1086, 52376}, {3124, 31}, {4858, 83}, {4988, 18108}, {6374, 4593}, {6376, 4577}, {6741, 56245}, {15449, 1}, {15526, 34055}, {18314, 18070}, {32664, 4630}, {34591, 1176}, {35078, 56971}, {35088, 3405}, {36901, 3112}, {38986, 46288}, {39691, 17469}, {40585, 110}, {40619, 52394}, {40938, 162}, {41178, 51903}, {47413, 2172}, {53983, 19}, {55043, 6}, {55050, 560}, {55065, 18098}, {55066, 10547}, {55070, 17453}, {61063, 56982}
X(62418) = crossdifference of every pair of points on line {31, 1917}
X(62418) = barycentric product X(i)*X(j) for these {i,j}: {1, 23285}, {10, 48084}, {38, 850}, {39, 20948}, {75, 826}, {76, 8061}, {92, 2525}, {115, 55239}, {141, 1577}, {313, 2530}, {321, 16892}, {427, 14208}, {523, 1930}, {525, 20883}, {561, 3005}, {656, 1235}, {661, 8024}, {688, 1928}, {693, 15523}, {798, 52568}, {799, 39691}, {1109, 4576}, {1441, 48278}, {1502, 2084}, {1634, 23994}, {1964, 44173}, {2236, 56981}, {2528, 3112}, {3261, 3954}, {3267, 17442}, {3665, 4086}, {3703, 4077}, {3933, 24006}, {4024, 16703}, {4036, 16887}, {4064, 16747}, {4553, 21207}, {4568, 16732}, {4593, 15449}, {7794, 18070}, {14378, 18076}, {14424, 46277}, {15413, 21016}, {16696, 52623}, {17879, 46151}, {18833, 57132}, {20336, 21108}, {20898, 31065}, {20902, 41676}, {20910, 42551}, {21035, 40495}, {21123, 27801}, {23989, 35309}, {55240, 59995}
X(62418) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 827}, {2, 4599}, {6, 34072}, {31, 4630}, {37, 4628}, {38, 110}, {39, 163}, {75, 4577}, {76, 4593}, {92, 42396}, {115, 55240}, {141, 662}, {338, 18070}, {427, 162}, {512, 46289}, {514, 52376}, {523, 82}, {525, 34055}, {561, 689}, {656, 1176}, {661, 251}, {688, 560}, {693, 52394}, {732, 56982}, {782, 51904}, {798, 46288}, {804, 56971}, {810, 10547}, {826, 1}, {850, 3112}, {1086, 39179}, {1109, 58784}, {1235, 811}, {1502, 37204}, {1577, 83}, {1634, 1101}, {1843, 32676}, {1923, 14574}, {1928, 42371}, {1930, 99}, {1934, 41209}, {1964, 1576}, {2084, 32}, {2156, 58113}, {2236, 56980}, {2525, 63}, {2528, 38}, {2530, 58}, {2531, 1923}, {2618, 17500}, {2632, 58353}, {2643, 18105}, {2799, 3405}, {3005, 31}, {3112, 52936}, {3120, 18108}, {3404, 2715}, {3665, 1414}, {3700, 56245}, {3703, 643}, {3917, 4575}, {3933, 4592}, {3954, 101}, {4020, 32661}, {4024, 18098}, {4036, 18082}, {4444, 39276}, {4553, 4570}, {4568, 4567}, {4576, 24041}, {4593, 57545}, {7813, 23889}, {8024, 799}, {8061, 6}, {9479, 34054}, {9494, 1917}, {14208, 1799}, {14424, 896}, {15449, 8061}, {15523, 100}, {16030, 36134}, {16696, 4556}, {16703, 4610}, {16732, 10566}, {16887, 52935}, {16892, 81}, {17442, 112}, {17457, 61211}, {17957, 46970}, {18070, 52395}, {18715, 52630}, {20021, 36084}, {20883, 648}, {20898, 10330}, {20902, 4580}, {20948, 308}, {21016, 1783}, {21035, 692}, {21037, 61173}, {21108, 28}, {21123, 1333}, {21125, 7191}, {21425, 33951}, {21814, 32739}, {23285, 75}, {23881, 1760}, {23994, 52618}, {24006, 32085}, {24018, 28724}, {27376, 24019}, {31125, 36085}, {33299, 5546}, {33907, 2244}, {35309, 1252}, {35366, 37132}, {38847, 33515}, {39691, 661}, {39725, 59076}, {42554, 18062}, {43534, 36081}, {44173, 18833}, {46147, 36034}, {46151, 24000}, {46154, 36142}, {46160, 36069}, {48084, 86}, {48278, 21}, {50521, 2206}, {52568, 4602}, {52623, 56186}, {55239, 4590}, {55240, 59996}, {56977, 37134}, {57132, 1964}, {58335, 2328}, {59995, 55239}
X(62418) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1577, 14208, 661}, {18072, 18074, 18071}

X(62419) = CROSSPOINT OF PU(227)

X(62419) lies on the cubic K970 and these lines: {1, 53679}, {7, 350}, {9, 4598}, {75, 87}, {192, 40881}, {304, 3494}, {330, 1278}, {536, 32033}, {894, 2162}, {1966, 9312}, {3551, 32020}, {3758, 21759}, {4110, 39354}, {6376, 49537}, {8026, 53678}, {16571, 33784}, {16606, 38262}, {17289, 27341}, {17754, 56657}, {20936, 24343}, {23493, 31997}, {25918, 51974}, {27424, 54120}, {27439, 27443}, {33681, 53146}, {56053, 56934}, {59518, 59676}

X(62419) = isotomic conjugate of the isogonal conjugate of X(17105)
X(62419) = crosssum of PU(234)
X(62419) = X(32020)-Ceva conjugate of X(40881)
X(62419) = X(2209)-isoconjugate of X(3551)
X(62419) = X(3662)-Dao conjugate of X(41886)
X(62419) = barycentric product X(i)*X(j) for these {i,j}: {76, 17105}, {87, 59518}, {330, 24524}, {3550, 6383}, {6384, 17350}, {7033, 27502}, {18830, 31286}
X(62419) = barycentric quotient X(i)/X(j) for these {i,j}: {330, 3551}, {3550, 2176}, {4090, 20691}, {17105, 6}, {17350, 43}, {23472, 8640}, {24524, 192}, {27502, 982}, {31286, 4083}, {41771, 41886}, {48330, 20979}, {57235, 25142}, {59518, 6376}
X(62419) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {87, 18830, 75}, {192, 53677, 40881}

X(62420) = BARYCENTRIC PRODUCT OF PU(228)

X(62420) lies on these lines: {6, 22199}, {9, 983}, {10, 25616}, {31, 32}, {43, 51319}, {55, 21838}, {63, 8624}, {81, 2242}, {101, 1613}, {560, 40736}, {626, 27259}, {746, 20641}, {1196, 51436}, {1252, 6632}, {1260, 14974}, {1397, 1922}, {1402, 23543}, {1403, 6377}, {1501, 32739}, {1621, 2241}, {2175, 7104}, {2176, 20760}, {2220, 21793}, {2240, 6327}, {3185, 16584}, {3981, 41323}, {5019, 16778}, {5291, 37652}, {6378, 34247}, {9447, 14599}, {9448, 14602}, {9455, 62194}, {9620, 54373}, {17137, 27632}, {21285, 28357}, {21760, 51949}, {52963, 61316}

X(62420) = isogonal conjugate of X(6383)
X(62420) = isogonal conjugate of the isotomic conjugate of X(2176)
X(62420) = X(560)-Ceva conjugate of X(32)
X(62420) = X(i)-isoconjugate of X(j) for these (i,j): {1, 6383}, {2, 6384}, {7, 27424}, {8, 7209}, {75, 330}, {76, 87}, {85, 7155}, {86, 60244}, {192, 53679}, {274, 42027}, {310, 16606}, {334, 39914}, {514, 18830}, {561, 2162}, {693, 4598}, {870, 51837}, {871, 52655}, {932, 3261}, {1111, 5383}, {1240, 27455}, {1502, 7121}, {1577, 56053}, {1909, 27447}, {1969, 23086}, {1978, 43931}, {2053, 20567}, {2319, 6063}, {3123, 57577}, {3596, 7153}, {4373, 27496}, {6376, 53677}, {6378, 57992}, {6382, 53678}, {6385, 23493}, {15373, 18022}, {18299, 27436}, {18895, 34252}, {20906, 32039}, {34071, 40495}, {40418, 61417}, {40827, 45197}, {41283, 57264}, {44172, 51321}, {60812, 61413}
X(62420) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 6383}, {75, 1928}, {206, 330}, {798, 1111}, {3835, 23989}, {32664, 6384}, {40368, 2162}, {40598, 1502}, {40600, 60244}, {40610, 40495}
X(62420) = crossdifference of every pair of points on line {693, 3777}
X(62420) = barycentric product X(i)*X(j) for these {i,j}: {1, 2209}, {6, 2176}, {9, 41526}, {25, 20760}, {31, 43}, {32, 192}, {41, 1423}, {42, 38832}, {55, 1403}, {100, 8640}, {101, 20979}, {110, 50491}, {163, 21834}, {213, 27644}, {560, 6376}, {604, 3208}, {667, 52923}, {692, 4083}, {765, 38986}, {893, 51319}, {904, 51902}, {983, 56806}, {1016, 21762}, {1018, 57074}, {1110, 3123}, {1252, 6377}, {1333, 20691}, {1397, 27538}, {1402, 56181}, {1501, 6382}, {1576, 21051}, {1914, 51973}, {1918, 33296}, {1919, 4595}, {1924, 36860}, {1973, 22370}, {1980, 36863}, {2162, 53145}, {2175, 3212}, {2205, 31008}, {2206, 3971}, {2210, 41531}, {3835, 32739}, {4557, 16695}, {4567, 21835}, {7104, 17752}, {7109, 7304}, {7121, 53676}, {8750, 22090}, {9233, 40367}, {9447, 30545}, {9456, 52964}, {14408, 32665}, {14426, 32718}, {14599, 40848}, {15742, 22386}, {21138, 23990}, {21793, 60663}, {34071, 57050}, {34247, 57505}, {40728, 52136}, {45216, 57399}
X(62420) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 6383}, {31, 6384}, {32, 330}, {41, 27424}, {43, 561}, {192, 1502}, {213, 60244}, {560, 87}, {604, 7209}, {692, 18830}, {1197, 61417}, {1403, 6063}, {1423, 20567}, {1501, 2162}, {1576, 56053}, {1917, 7121}, {1918, 42027}, {1980, 43931}, {2175, 7155}, {2176, 76}, {2205, 16606}, {2209, 75}, {3208, 28659}, {3212, 41283}, {4083, 40495}, {6376, 1928}, {6377, 23989}, {6382, 40362}, {7104, 27447}, {7121, 53679}, {8640, 693}, {9447, 2319}, {9448, 2053}, {14575, 23086}, {14599, 39914}, {16695, 52619}, {18892, 34252}, {18894, 51321}, {18900, 45782}, {20691, 27801}, {20760, 305}, {20979, 3261}, {21051, 44173}, {21762, 1086}, {21834, 20948}, {21835, 16732}, {22370, 40364}, {22386, 1565}, {23990, 5383}, {27538, 40363}, {27644, 6385}, {32739, 4598}, {38832, 310}, {38986, 1111}, {40367, 40359}, {40728, 51837}, {40848, 44170}, {41526, 85}, {41531, 44172}, {50491, 850}, {51319, 1920}, {51973, 18895}, {52923, 6386}, {53145, 6382}, {53675, 40367}, {56181, 40072}, {56806, 33930}, {57074, 7199}
X(62420) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 23853, 22199}, {31, 41, 1197}, {31, 2205, 32}

X(62421) = TRILINEAR POLE OF LINE P(228)U(228)

X(62421) lies on the cubic K774 and these lines: {1, 727}, {6, 190}, {81, 17459}, {100, 36288}, {213, 56011}, {239, 56012}, {894, 23561}, {904, 3903}, {1258, 32020}, {1914, 34077}, {2176, 4595}, {2209, 52923}, {3230, 8709}, {8026, 32911}, {16969, 43115}, {18793, 50581}, {21760, 57535}, {27644, 36860}

X(62421) = isogonal conjugate of X(40881)
X(62421) = isogonal conjugate of the isotomic conjugate of X(40844)
X(62421) = X(727)-Ceva conjugate of X(20332)
X(62421) = X(i)-isoconjugate of X(j) for these (i,j): {1, 40881}, {75, 51864}, {87, 1575}, {292, 56663}, {330, 3009}, {726, 2162}, {1463, 2319}, {2053, 43040}, {3837, 34071}, {4598, 6373}, {5383, 52633}, {6384, 21760}, {7121, 52043}, {16606, 18792}, {34252, 52656}, {39914, 40155}
X(62421) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 40881}, {75, 35538}, {206, 51864}, {798, 52633}, {6377, 20908}, {19557, 56663}, {33678, 6384}, {40598, 52043}, {40610, 3837}
X(62421) = cevapoint of X(3550) and X(21760)
X(62421) = trilinear pole of line {43, 8640}
X(62421) = barycentric product X(i)*X(j) for these {i,j}: {6, 40844}, {43, 3226}, {192, 20332}, {238, 33680}, {727, 6376}, {1423, 36799}, {2176, 32020}, {3212, 8851}, {3253, 41531}, {4083, 8709}, {6382, 34077}, {8640, 54985}, {18793, 33296}, {23355, 36863}, {27644, 27809}
X(62421) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 40881}, {32, 51864}, {43, 726}, {192, 52043}, {238, 56663}, {727, 87}, {1403, 1463}, {1423, 43040}, {2176, 1575}, {2209, 3009}, {3123, 21140}, {3226, 6384}, {3835, 20908}, {4083, 3837}, {6376, 35538}, {8640, 6373}, {8709, 18830}, {8851, 7155}, {18793, 42027}, {20332, 330}, {21834, 21053}, {23355, 43931}, {27809, 60244}, {32020, 6383}, {33680, 334}, {34077, 2162}, {36799, 27424}, {38832, 18792}, {38986, 52633}, {40844, 76}, {51973, 52656}, {52923, 23354}

X(62422) = CEVAPOINT OF PU(229)

X(62422) lies on the cubic K971 and these lines: {1, 8851}, {8, 726}, {65, 39969}, {982, 2319}, {3057, 7220}, {3679, 20899}, {4083, 14823}, {6382, 25280}, {21337, 40780}, {24524, 40844}, {27538, 40598}

X(62422) = isogonal conjugate of X(17105)
X(62422) = X(i)-isoconjugate of X(j) for these (i,j): {1, 17105}, {87, 3550}, {932, 48330}, {2162, 17350}, {4598, 23472}, {7121, 24524}, {31286, 34071}, {57235, 58958}
X(62422) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 17105}, {75, 59518}, {3061, 41771}, {3840, 59676}, {40598, 24524}, {40610, 31286}, {52657, 27502}
X(62422) = barycentric product X(192)*X(3551)
X(62422) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 17105}, {43, 17350}, {192, 24524}, {982, 27502}, {2176, 3550}, {3551, 330}, {4083, 31286}, {6376, 59518}, {8640, 23472}, {20691, 4090}, {20979, 48330}, {25142, 57235}, {41886, 41771}

X(62423) = BICENTRIC DIFFERENCE OF EVERY PAIR OF POINTS ON LINE P(231)U(231)

X(62423) lies on these lines: {1, 49279}, {2, 48171}, {30, 511}, {313, 3261}, {649, 48103}, {650, 48056}, {659, 48094}, {693, 4122}, {764, 49278}, {1491, 4088}, {1635, 47885}, {1638, 47807}, {1639, 47799}, {1734, 4808}, {2254, 47700}, {2484, 54253}, {2509, 21348}, {2530, 48272}, {2533, 47707}, {2977, 17069}, {3004, 48030}, {3700, 23770}, {3776, 3837}, {3777, 48278}, {3801, 4391}, {3835, 18004}, {4010, 25259}, {4024, 47704}, {4025, 9508}, {4079, 48031}, {4086, 20908}, {4170, 47717}, {4367, 48300}, {4369, 48405}, {4378, 47682}, {4448, 47798}, {4453, 47809}, {4458, 4874}, {4467, 48408}, {4490, 21124}, {4724, 48083}, {4775, 47727}, {4776, 48174}, {4782, 47890}, {4784, 47971}, {4789, 48238}, {4804, 47705}, {4806, 48270}, {4809, 47804}, {4810, 48266}, {4813, 47924}, {4818, 48427}, {4824, 45746}, {4841, 47964}, {4922, 47728}, {4951, 6545}, {4957, 7336}, {4979, 48146}, {4988, 47928}, {6133, 21187}, {6546, 48226}, {6586, 31947}, {6590, 54265}, {7192, 47693}, {7265, 47716}, {7662, 48271}, {10196, 48214}, {15413, 20906}, {17148, 21225}, {20295, 47688}, {20504, 50541}, {21104, 48098}, {21115, 47812}, {21119, 42462}, {21146, 47676}, {21192, 50504}, {21204, 48198}, {21834, 48033}, {23731, 48599}, {24719, 47652}, {24720, 58375}, {28374, 50545}, {28602, 47830}, {30565, 47797}, {36848, 47808}, {44429, 48422}, {44551, 45691}, {45323, 45344}, {45666, 47800}, {46403, 49302}, {47123, 49286}, {47653, 47945}, {47673, 47934}, {47677, 47975}, {47687, 49301}, {47689, 48108}, {47692, 48080}, {47694, 49273}, {47695, 49275}, {47699, 47946}, {47701, 48024}, {47702, 48021}, {47703, 48143}, {47708, 48265}, {47711, 50352}, {47712, 48267}, {47720, 48279}, {47726, 48320}, {47754, 47802}, {47760, 48192}, {47761, 48219}, {47762, 48236}, {47765, 48555}, {47770, 47803}, {47772, 47821}, {47782, 48176}, {47784, 48194}, {47788, 48221}, {47810, 47877}, {47824, 48208}, {47825, 47894}, {47827, 47886}, {47829, 47882}, {47833, 47874}, {47834, 47870}, {47841, 57066}, {47879, 48206}, {47902, 48019}, {47919, 47951}, {47923, 47968}, {47925, 47943}, {47931, 48020}, {47938, 48076}, {47950, 48617}, {47960, 47999}, {47961, 47990}, {47967, 48402}, {47972, 48078}, {47973, 48077}, {47983, 48038}, {47988, 48611}, {47989, 48621}, {47998, 48028}, {48002, 48404}, {48006, 48040}, {48007, 48039}, {48029, 48048}, {48032, 48113}, {48055, 48614}, {48089, 49299}, {48095, 48615}, {48096, 48124}, {48101, 48140}, {48102, 48604}, {48127, 48274}, {48134, 48397}, {48166, 48179}, {48175, 48434}, {48232, 48245}, {48269, 49295}, {48290, 48344}, {48295, 49290}, {48298, 49274}, {48299, 48330}, {48321, 50351}, {48332, 49280}, {48388, 53257}, {48392, 55282}, {50333, 50335}

X(62423) = crossdifference of every pair of points on line {6, 7295}
X(62423) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 48171, 48185}, {2, 48185, 48199}, {2, 48227, 48215}, {2, 48241, 48227}, {649, 48118, 48103}, {650, 48088, 48056}, {1638, 47807, 48216}, {1639, 47799, 48197}, {3004, 48047, 48030}, {3700, 23770, 48090}, {3776, 4522, 3837}, {4024, 47704, 48120}, {4025, 48062, 9508}, {4088, 16892, 1491}, {4122, 48326, 693}, {4453, 47809, 47823}, {4453, 48188, 48217}, {4724, 48117, 48083}, {4776, 48174, 48552}, {4782, 48097, 47890}, {4813, 47924, 47944}, {7265, 47716, 48273}, {21104, 48396, 48098}, {25259, 47691, 4010}, {30565, 47797, 47822}, {30565, 48224, 48195}, {45746, 47698, 4824}, {47676, 47690, 21146}, {47692, 48080, 48349}, {47692, 49272, 48080}, {47700, 47930, 2254}, {47701, 48082, 48024}, {47702, 48112, 48021}, {47727, 49276, 4775}, {47772, 48203, 47821}, {47797, 47822, 48195}, {47809, 47823, 48217}, {47821, 48203, 48177}, {47822, 48224, 47797}, {47823, 48188, 47809}, {47824, 48208, 48235}, {47833, 58372, 47887}, {47874, 47887, 47833}, {47923, 48023, 47968}, {47960, 48027, 47999}, {47961, 48026, 47990}, {47971, 48106, 4784}, {47973, 48077, 50328}, {47998, 48046, 48028}, {48029, 48087, 48048}, {48083, 50340, 4724}, {48103, 50342, 649}, {48171, 48227, 48199}, {48171, 48241, 2}, {48185, 48227, 2}, {48185, 48241, 48215}, {48197, 48212, 47799}, {48199, 48215, 2}, {48201, 48216, 47807}, {48208, 48571, 47824}, {48604, 50358, 48102}, {50333, 50348, 50335}

X(62424) = BARYCENTRIC PRODUCT OF PU(233)

X(62424) lies on these lines: {2, 45}, {320, 50019}, {335, 4726}, {548, 24833}, {673, 60962}, {1268, 17235}, {1743, 39707}, {2321, 39710}, {3625, 24841}, {3627, 24813}, {3630, 32029}, {3635, 24715}, {4384, 17329}, {4555, 31647}, {4659, 17285}, {4691, 53601}, {4700, 37756}, {4727, 17297}, {4862, 17335}, {7263, 32025}, {15684, 24827}, {17160, 49761}, {17273, 17275}, {21735, 29243}, {24131, 33910}, {24817, 61817}, {24844, 61903}, {29587, 48631}, {52714, 59373}

X(62424) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4409, 190}, {903, 1086, 27191}, {1086, 36525, 4440}, {4440, 40480, 190}, {27191, 52885, 2}

X(62425) = BARYCENTRIC PRODUCT OF PU(234)

X(62425) lies on these lines: {56, 17205}, {106, 17753}, {995, 1434}, {996, 24170}, {1015, 14377}, {4056, 17213}, {7176, 24046}, {16781, 17729}, {17081, 24159}

X(62426) = BARYCENTRIC PRODUCT OF PU(235)

X(62426) lies on these lines: {10, 31448}, {76, 55161}, {101, 27523}, {116, 3926}, {519, 14974}, {574, 21025}, {956, 21070}, {996, 1500}, {1107, 48863}, {1975, 14377}, {3985, 30144}, {4037, 53165}, {4115, 5730}, {7781, 20255}, {8666, 21071}, {16552, 49492}, {16788, 26770}, {21024, 31456}, {24170, 31859}, {30128, 49518}, {31449, 50605}, {35092, 57506}, {53561, 56146}

X(62426) = {X(1975),X(30109)}-harmonic conjugate of X(14377)

X(62427) = BARYCENTRIC PRODUCT OF PU(237)

X(62427) lies on these lines: {2, 99}, {98, 3627}, {183, 7910}, {316, 15480}, {542, 61973}, {548, 6321}, {892, 31644}, {1657, 10723}, {1916, 33289}, {2782, 5072}, {3053, 53105}, {3329, 15031}, {3625, 7983}, {3630, 10754}, {3635, 13178}, {3793, 14568}, {3843, 12188}, {3850, 52090}, {3933, 43676}, {4691, 11599}, {5007, 53109}, {6033, 23046}, {6034, 45018}, {6036, 61138}, {6054, 61948}, {6055, 46333}, {7771, 44518}, {7809, 32457}, {7854, 7911}, {7861, 10159}, {8724, 61917}, {8781, 60209}, {9180, 42553}, {9862, 62011}, {9880, 62029}, {10722, 38335}, {11606, 60146}, {11623, 50691}, {11632, 14893}, {11646, 32455}, {12108, 21166}, {12117, 15706}, {12243, 61959}, {12812, 23235}, {12829, 53107}, {13172, 38735}, {13188, 61903}, {14044, 41755}, {14093, 38733}, {14443, 42345}, {14651, 33703}, {14830, 62031}, {14891, 38739}, {14892, 51872}, {15684, 22515}, {15686, 61560}, {15689, 49102}, {15712, 38224}, {17538, 34473}, {20398, 61807}, {20774, 23956}, {21735, 23698}, {23234, 61922}, {32458, 32878}, {33813, 61840}, {34127, 61849}, {38664, 61964}, {38730, 45759}, {38736, 62058}, {38737, 61783}, {38738, 58188}, {38749, 62161}, {43535, 54646}, {60103, 60630}, {61575, 61931}, {61576, 61919}

X(62427) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {99, 9166, 6722}, {115, 148, 9166}, {115, 671, 14061}, {115, 36523, 148}, {148, 6722, 99}, {620, 41154, 115}, {9166, 36523, 671}, {14061, 52886, 2}, {31274, 35369, 99}

X(62428) = ISOGONAL CONJUGATE OF X(52604)

X(62428) lies on these lines: {2, 17434}, {95, 5888}, {97, 2525}, {275, 43673}, {323, 401}, {340, 520}, {933, 2867}, {3265, 15414}, {4576, 15958}, {6080, 52779}, {6333, 58308}, {6368, 23061}, {8795, 43701}, {11427, 16040}, {11433, 14346}, {15422, 33294}, {16077, 18831}, {17708, 18315}, {23616, 59183}, {35360, 41208}, {36900, 58796}, {39469, 58784}, {55253, 57875}

X(62428) = reflection of X(31296) in X(32320)
X(62428) = isogonal conjugate of X(52604)
X(62428) = isotomic conjugate of X(35360)
X(62428) = anticomplement of X(17434)
X(62428) = polar conjugate of X(61193)
X(62428) = anticomplement of the isogonal conjugate of X(16813)
X(62428) = anticomplement of the isotomic conjugate of X(42405)
X(62428) = isotomic conjugate of the anticomplement of X(2972)
X(62428) = isotomic conjugate of the complement of X(44003)
X(62428) = isotomic conjugate of the isogonal conjugate of X(23286)
X(62428) = isotomic conjugate of the polar conjugate of X(15412)
X(62428) = polar conjugate of the isotomic conjugate of X(15414)
X(62428) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {823, 2888}, {933, 6360}, {2167, 34186}, {2190, 39352}, {8795, 21294}, {8884, 21221}, {16813, 8}, {18831, 4329}, {24019, 17035}, {36134, 46717}, {40440, 13219}, {42405, 6327}, {52779, 21270}, {61362, 21220}
X(62428) = X(30102)-complementary conjugate of X(21253)
X(62428) = X(i)-Ceva conjugate of X(j) for these (i,j): {18831, 95}, {34386, 53576}, {42405, 2}, {52939, 59183}, {54950, 276}, {57765, 339}
X(62428) = X(i)-isoconjugate of X(j) for these (i,j): {1, 52604}, {5, 32676}, {19, 1625}, {25, 2617}, {31, 35360}, {48, 61193}, {51, 162}, {53, 163}, {92, 61194}, {107, 62266}, {110, 2181}, {112, 1953}, {216, 24019}, {217, 823}, {418, 36126}, {648, 2179}, {662, 3199}, {799, 61346}, {811, 40981}, {933, 62259}, {1096, 23181}, {1101, 51513}, {1973, 14570}, {2189, 35307}, {2313, 53708}, {2618, 57655}, {4575, 14569}, {8750, 18180}, {11062, 32678}, {14213, 61206}, {14560, 51801}, {14574, 62273}, {14576, 36145}, {14577, 36148}, {15451, 24000}, {23290, 23995}, {24021, 58305}, {27371, 34072}, {32713, 44706}, {36046, 51363}, {36131, 52945}, {36134, 62261}, {52926, 60685}
X(62428) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 35360}, {3, 52604}, {6, 1625}, {115, 53}, {125, 51}, {136, 14569}, {137, 62261}, {233, 35318}, {244, 2181}, {338, 60828}, {520, 58305}, {523, 51513}, {525, 6368}, {647, 12077}, {1084, 3199}, {1249, 61193}, {2972, 61378}, {5522, 6755}, {6337, 14570}, {6388, 41588}, {6503, 23181}, {6505, 2617}, {7668, 27370}, {8901, 47328}, {11792, 53386}, {14401, 14391}, {15449, 27371}, {15450, 62260}, {15526, 5}, {17423, 40981}, {18314, 23290}, {18334, 11062}, {22391, 61194}, {23285, 18314}, {26932, 18180}, {33504, 51363}, {34591, 1953}, {34836, 61195}, {35071, 216}, {35088, 39569}, {35441, 57195}, {35442, 3078}, {36901, 324}, {38985, 62266}, {38996, 61346}, {39008, 52945}, {39013, 14576}, {39018, 14577}, {39019, 36412}, {39020, 42459}, {40618, 17167}, {43961, 6117}, {43962, 6116}, {46093, 418}, {53575, 15897}, {53576, 389}, {55066, 2179}
X(62428) = cevapoint of X(i) and X(j) for these (i,j): {2, 44003}, {520, 525}, {523, 52585}
X(62428) = trilinear pole of line {8552, 15526}
X(62428) = crossdifference of every pair of points on line {51, 217}
X(62428) = barycentric product X(i)*X(j) for these {i,j}: {4, 15414}, {54, 3267}, {69, 15412}, {76, 23286}, {95, 525}, {97, 850}, {99, 53576}, {275, 3265}, {276, 520}, {304, 2616}, {305, 2623}, {339, 18315}, {523, 34386}, {647, 34384}, {656, 62276}, {905, 56189}, {933, 36793}, {1141, 45792}, {1232, 39181}, {1502, 58308}, {1577, 62277}, {2167, 14208}, {2169, 20948}, {2525, 39287}, {2972, 42405}, {3933, 39182}, {4025, 56246}, {4143, 8884}, {4176, 15422}, {4563, 8901}, {6563, 57875}, {8552, 46138}, {8795, 52613}, {8882, 52617}, {14533, 44173}, {14638, 38808}, {15413, 56254}, {15415, 46089}, {15526, 18831}, {15958, 23962}, {18022, 46088}, {20975, 55218}, {24018, 40440}, {32320, 57844}, {34385, 52584}, {34767, 43768}, {35071, 54950}, {35442, 52939}, {39177, 57807}, {39201, 57790}
X(62428) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 35360}, {3, 1625}, {4, 61193}, {6, 52604}, {54, 112}, {63, 2617}, {69, 14570}, {95, 648}, {97, 110}, {115, 51513}, {125, 12077}, {140, 35318}, {184, 61194}, {201, 35307}, {275, 107}, {276, 6528}, {338, 23290}, {339, 18314}, {394, 23181}, {512, 3199}, {520, 216}, {523, 53}, {525, 5}, {526, 11062}, {647, 51}, {656, 1953}, {661, 2181}, {669, 61346}, {810, 2179}, {822, 62266}, {826, 27371}, {850, 324}, {879, 60517}, {905, 18180}, {924, 14576}, {933, 23964}, {1298, 53708}, {1510, 14577}, {1650, 14391}, {2148, 32676}, {2167, 162}, {2169, 163}, {2190, 24019}, {2501, 14569}, {2616, 19}, {2623, 25}, {2799, 39569}, {2972, 17434}, {3049, 40981}, {3265, 343}, {3267, 311}, {3268, 14918}, {3269, 15451}, {3917, 35319}, {4025, 17167}, {4064, 21011}, {4091, 44709}, {4131, 16697}, {4143, 52347}, {4466, 21102}, {4580, 17500}, {6333, 60524}, {6368, 36412}, {6563, 467}, {8057, 42459}, {8552, 1154}, {8611, 7069}, {8795, 15352}, {8882, 32713}, {8884, 6529}, {8901, 2501}, {9033, 52945}, {11077, 14560}, {12077, 62261}, {14208, 14213}, {14417, 41586}, {14533, 1576}, {14586, 57655}, {14618, 13450}, {14919, 36831}, {15412, 4}, {15414, 69}, {15421, 60035}, {15422, 6524}, {15451, 62260}, {15526, 6368}, {15958, 23357}, {16030, 35325}, {16035, 61204}, {16186, 2081}, {16813, 32230}, {17434, 61378}, {18314, 60828}, {18315, 250}, {18831, 23582}, {19166, 41678}, {19180, 1624}, {19189, 58070}, {19210, 32661}, {20902, 2618}, {20948, 62273}, {20975, 55219}, {23286, 6}, {23616, 35442}, {23870, 6117}, {23871, 6116}, {23872, 52671}, {23873, 52670}, {23878, 39530}, {24018, 44706}, {31296, 30506}, {31617, 33513}, {32320, 418}, {32679, 51801}, {33629, 57153}, {34384, 6331}, {34385, 30450}, {34386, 99}, {34980, 42293}, {35071, 58305}, {35441, 3078}, {35442, 57195}, {38808, 57219}, {39177, 270}, {39180, 59142}, {39181, 1173}, {39182, 32085}, {39201, 217}, {39287, 42396}, {39469, 52967}, {40440, 823}, {41077, 1568}, {41298, 14129}, {43718, 52926}, {43768, 4240}, {44173, 62274}, {45792, 1273}, {46088, 184}, {46089, 14586}, {46090, 32640}, {46138, 46456}, {46832, 61195}, {47122, 6755}, {50463, 32662}, {51255, 61203}, {51268, 36309}, {51275, 36306}, {51444, 26714}, {51664, 1393}, {52584, 52}, {52585, 14363}, {52590, 15897}, {52591, 27370}, {52613, 5562}, {52617, 28706}, {52779, 34538}, {53173, 53174}, {53576, 523}, {54034, 61206}, {54950, 57556}, {55232, 21807}, {55253, 14593}, {55280, 53386}, {56189, 6335}, {56246, 1897}, {56254, 1783}, {57195, 23607}, {57703, 32734}, {57765, 38342}, {57875, 925}, {58305, 46394}, {58306, 34859}, {58308, 32}, {58756, 2207}, {59183, 35311}, {62270, 14574}, {62276, 811}, {62277, 662}

X(62429) = ISOTOMIC CONJUGATE OF X(5377)

X(62429) lies on these lines: {7, 8}, {528, 57036}, {874, 20924}, {918, 1086}, {1233, 20890}, {1358, 4081}, {1565, 17463}, {1642, 17369}, {2284, 4363}, {2886, 21436}, {2968, 40615}, {3004, 42753}, {3665, 23581}, {3673, 45276}, {3932, 23102}, {4025, 53525}, {4089, 34896}, {4124, 43921}, {4437, 20431}, {7046, 40154}, {7187, 24515}, {7795, 17279}, {14505, 23100}, {17278, 24774}, {17280, 25244}, {20445, 52157}, {20901, 23989}, {22011, 22025}, {23612, 40216}, {23773, 53583}, {24279, 24401}, {25493, 25586}, {26544, 26567}, {32922, 40724}

X(62429) = isotomic conjugate of X(5377)
X(62429) = isotomic conjugate of the isogonal conjugate of X(3675)
X(62429) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {3446, 20533}, {8047, 20552}
X(62429) = X(i)-complementary conjugate of X(j) for these (i,j): {1438, 17115}, {59133, 21232}
X(62429) = X(i)-Ceva conjugate of X(j) for these (i,j): {335, 48084}, {2481, 693}, {23989, 35094}, {40216, 3126}, {40704, 918}
X(62429) = X(i)-isoconjugate of X(j) for these (i,j): {31, 5377}, {59, 2195}, {100, 32666}, {101, 919}, {105, 1110}, {109, 52927}, {294, 2149}, {663, 59101}, {666, 32739}, {673, 23990}, {692, 36086}, {1252, 1438}, {1416, 6065}, {2175, 39293}, {3939, 32735}, {4570, 56853}, {4628, 46163}, {6066, 56783}, {6559, 23979}, {9454, 57536}, {24027, 28071}, {32724, 54440}, {35185, 57250}, {43929, 59149}
X(62429) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 5377}, {11, 52927}, {514, 105}, {522, 28071}, {650, 294}, {661, 1438}, {665, 1914}, {676, 41339}, {918, 518}, {1015, 919}, {1086, 36086}, {1577, 14942}, {3126, 55}, {4458, 20715}, {4988, 18785}, {6184, 1252}, {6615, 2195}, {8054, 32666}, {17435, 2284}, {17755, 765}, {27918, 3573}, {33675, 57536}, {35094, 100}, {35509, 650}, {36905, 4564}, {38980, 101}, {38989, 692}, {39046, 1110}, {39063, 59}, {40593, 39293}, {40609, 6065}, {40615, 36146}, {40617, 32735}, {40619, 666}, {40624, 36802}, {50330, 56853}, {52304, 11124}
X(62429) = trilinear pole of line {35094, 42770}
X(62429) = crossdifference of every pair of points on line {692, 3063}
X(62429) = barycentric product X(i)*X(j) for these {i,j}: {11, 40704}, {76, 3675}, {241, 34387}, {518, 23989}, {665, 40495}, {693, 918}, {883, 40166}, {1026, 23100}, {1086, 3263}, {1111, 3912}, {1565, 46108}, {1577, 23829}, {2254, 3261}, {2481, 35094}, {2973, 25083}, {3120, 18157}, {3323, 36796}, {3932, 16727}, {4088, 7199}, {4391, 43042}, {4554, 52305}, {4858, 9436}, {4939, 10029}, {5236, 17880}, {6063, 17435}, {6384, 23773}, {16732, 30941}, {18206, 21207}, {18816, 42770}, {18895, 38989}, {23978, 34855}, {24002, 50333}, {24290, 52619}, {35519, 53544}
X(62429) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 5377}, {11, 294}, {85, 39293}, {241, 59}, {244, 1438}, {513, 919}, {514, 36086}, {518, 1252}, {649, 32666}, {650, 52927}, {651, 59101}, {665, 692}, {672, 1110}, {693, 666}, {764, 43929}, {883, 31615}, {918, 100}, {1026, 59149}, {1086, 105}, {1111, 673}, {1146, 28071}, {1358, 1462}, {1458, 2149}, {1565, 1814}, {1566, 41339}, {1876, 7115}, {2170, 2195}, {2223, 23990}, {2254, 101}, {2481, 57536}, {2530, 46163}, {2969, 8751}, {2973, 54235}, {3120, 18785}, {3125, 56853}, {3126, 2284}, {3261, 51560}, {3263, 1016}, {3323, 241}, {3669, 32735}, {3675, 6}, {3676, 36146}, {3693, 6065}, {3912, 765}, {3937, 32658}, {3942, 36057}, {4088, 1018}, {4391, 36802}, {4858, 14942}, {4925, 57192}, {5236, 7012}, {6545, 1027}, {9436, 4564}, {15149, 5379}, {15634, 9503}, {16732, 13576}, {16892, 35333}, {17435, 55}, {18157, 4600}, {18206, 4570}, {21132, 1024}, {23773, 43}, {23829, 662}, {23989, 2481}, {24002, 927}, {24026, 6559}, {24290, 4557}, {30941, 4567}, {34387, 36796}, {34855, 1262}, {35094, 518}, {35505, 2223}, {38989, 1914}, {40166, 885}, {40217, 5378}, {40495, 36803}, {40704, 4998}, {41353, 4619}, {42455, 28132}, {42720, 57731}, {42753, 51987}, {42754, 54364}, {42758, 2427}, {42770, 517}, {43042, 651}, {43921, 41934}, {46108, 15742}, {50333, 644}, {52304, 17435}, {52305, 650}, {52621, 34085}, {52626, 52902}, {53538, 1416}, {53539, 1415}, {53544, 109}, {53550, 906}, {53551, 4559}, {53555, 1983}, {53583, 1026}, {57468, 32641}, {61056, 52635}

X(62430) = X(69)X(513)∩X(75)X(2400)

X(62430) lies on these lines: {69, 513}, {75, 2400}, {76, 42455}, {312, 693}, {313, 3261}, {918, 4437}, {1211, 14208}, {1233, 35519}, {1234, 20948}, {2509, 17279}, {4131, 13577}, {4391, 39749}, {18037, 27855}, {21202, 23874}, {22275, 50487}, {32828, 33528}

X(62430) = isotomic conjugate of the isogonal conjugate of X(3126)
X(62430) = X(34183)-anticomplementary conjugate of X(4440)
X(62430) = X(668)-Ceva conjugate of X(3263)
X(62430) = X(i)-isoconjugate of X(j) for these (i,j): {101, 41934}, {105, 32666}, {692, 51838}, {919, 1438}, {1416, 52927}, {1919, 57536}, {2195, 32735}, {6185, 32739}
X(62430) = X(i)-Dao conjugate of X(j) for these (i,j): {518, 692}, {918, 513}, {1015, 41934}, {1086, 51838}, {3126, 884}, {6184, 919}, {9296, 57536}, {17435, 6}, {17755, 36086}, {35094, 105}, {36905, 36146}, {38980, 1438}, {39046, 32666}, {39063, 32735}, {40609, 52927}, {40619, 6185}
X(62430) = barycentric product X(i)*X(j) for these {i,j}: {75, 53583}, {76, 3126}, {646, 3323}, {668, 35094}, {693, 4437}, {850, 16728}, {918, 3263}, {3261, 4712}, {4088, 18157}, {6184, 40495}, {6386, 35505}, {15413, 34337}, {40704, 50333}
X(62430) = barycentric quotient X(i)/X(j) for these {i,j}: {241, 32735}, {513, 41934}, {514, 51838}, {518, 919}, {668, 57536}, {672, 32666}, {693, 6185}, {918, 105}, {1362, 1415}, {2254, 1438}, {3126, 6}, {3263, 666}, {3323, 3669}, {3675, 43929}, {3693, 52927}, {3912, 36086}, {4088, 18785}, {4437, 100}, {4712, 101}, {6184, 692}, {9436, 36146}, {16728, 110}, {17060, 1633}, {17435, 884}, {23102, 2284}, {24290, 56853}, {33570, 60722}, {34337, 1783}, {35094, 513}, {35505, 667}, {40495, 57537}, {40704, 927}, {42079, 32739}, {42720, 5377}, {42758, 51987}, {43042, 1462}, {50333, 294}, {53544, 1416}, {53550, 32658}, {53583, 1}, {57469, 32644}, {61056, 57181}

X(62431) = ISOTOMIC CONJUGATE OF X(57742)

X(62431) lies on these lines: {2, 34349}, {4, 69}, {94, 18019}, {115, 127}, {183, 37930}, {290, 57452}, {325, 14356}, {850, 34765}, {880, 40074}, {2970, 36793}, {3134, 3265}, {3734, 14966}, {6563, 16186}, {14967, 18546}, {15630, 53347}, {23977, 37778}, {30737, 52145}, {31635, 34218}, {34138, 57504}, {34336, 36789}, {34854, 52486}, {36471, 38970}, {41760, 45280}, {43665, 43673}, {45198, 45943}, {51481, 60869}, {52629, 58263}

X(62431) = isotomic conjugate of X(57742)
X(62431) = anticomplement of X(34349)
X(62431) = isotomic conjugate of the isogonal conjugate of X(868)
X(62431) = X(i)-Ceva conjugate of X(j) for these (i,j): {290, 850}, {23962, 35088}, {44132, 2799}, {56981, 23105}
X(62431) = X(i)-isoconjugate of X(j) for these (i,j): {31, 57742}, {98, 23995}, {163, 2715}, {293, 57655}, {560, 57991}, {1101, 1976}, {1576, 36084}, {1821, 23963}, {1910, 23357}, {4575, 32696}, {9247, 60179}, {9417, 57562}, {14574, 36036}, {14601, 24041}, {32661, 36104}, {32676, 43754}
X(62431) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 57742}, {115, 2715}, {132, 57655}, {136, 32696}, {523, 1976}, {525, 17974}, {647, 248}, {868, 61213}, {2491, 14602}, {2508, 34137}, {2679, 14574}, {2799, 511}, {3005, 14601}, {4858, 36084}, {5664, 14355}, {5976, 249}, {6374, 57991}, {11672, 23357}, {15526, 43754}, {18314, 98}, {23285, 287}, {34990, 47635}, {35088, 110}, {36901, 2966}, {38970, 112}, {38987, 1576}, {39000, 32661}, {39040, 1101}, {39058, 57562}, {40601, 23963}, {41167, 184}, {41172, 14966}, {55267, 6}
X(62431) = crossdifference of every pair of points on line {1576, 3049}
X(62431) = barycentric product X(i)*X(j) for these {i,j}: {76, 868}, {125, 44132}, {290, 35088}, {297, 339}, {325, 338}, {511, 23962}, {850, 2799}, {1109, 46238}, {1502, 44114}, {1959, 23994}, {2396, 23105}, {2679, 44160}, {2970, 6393}, {3267, 16230}, {3569, 44173}, {6333, 14618}, {6530, 36793}, {16732, 42703}, {18022, 41172}, {18023, 51429}, {18024, 59805}, {18312, 34765}, {20902, 40703}, {40362, 58260}
X(62431) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 57742}, {76, 57991}, {115, 1976}, {125, 248}, {232, 57655}, {237, 23963}, {264, 60179}, {290, 57562}, {297, 250}, {325, 249}, {338, 98}, {339, 287}, {511, 23357}, {523, 2715}, {525, 43754}, {684, 32661}, {850, 2966}, {868, 6}, {877, 47443}, {1109, 1910}, {1577, 36084}, {1755, 23995}, {1959, 1101}, {2396, 59152}, {2491, 14574}, {2501, 32696}, {2679, 14602}, {2799, 110}, {2970, 6531}, {3124, 14601}, {3267, 17932}, {3569, 1576}, {6333, 4558}, {6530, 23964}, {8029, 2422}, {8430, 32729}, {8754, 57260}, {14223, 53691}, {14618, 685}, {15526, 17974}, {16230, 112}, {17994, 61206}, {18022, 41174}, {18312, 34761}, {20902, 293}, {20948, 36036}, {20975, 14600}, {23105, 2395}, {23962, 290}, {23994, 1821}, {24006, 36104}, {31953, 46249}, {32112, 32640}, {34765, 5649}, {34854, 41937}, {35088, 511}, {36212, 47390}, {36471, 37183}, {36793, 6394}, {39691, 51869}, {41167, 14966}, {41172, 184}, {41181, 52144}, {42703, 4567}, {43665, 41173}, {44114, 32}, {44132, 18020}, {44173, 43187}, {46052, 41167}, {46238, 24041}, {51429, 187}, {52628, 5967}, {53569, 11610}, {55267, 61213}, {55275, 2445}, {56981, 39291}, {57430, 42671}, {58260, 1501}, {58261, 35906}, {59805, 237}, {61339, 15630}
X(62431) = {X(76),X(264)}-harmonic conjugate of X(44155)

X(62432) = X(4)X(2820)∩X(40)X(812)

X(62432) lies on these lines: {2, 38324}, {3, 53284}, {4, 2820}, {40, 812}, {693, 28292}, {900, 14304}, {946, 4728}, {962, 21297}, {1577, 3309}, {1635, 6684}, {2517, 3667}, {2814, 46403}, {2821, 4010}, {2826, 3762}, {3085, 43050}, {3887, 49176}, {4763, 31423}, {4928, 8227}, {4978, 28473}, {9147, 58392}, {10265, 38325}, {15599, 29033}, {21620, 53544}, {38327, 47776}, {39212, 47816}

X(62432) = reflection of X(i) in X(j) for these {i,j}: {38325, 10265}, {38329, 946}
X(62432) = anticomplement of X(38324)
X(62432) = {X(4728),X(38329)}-harmonic conjugate of X(946)

X(62433) = X(3)X(804)∩X(4)X(2780)

X(62433) lies on these lines: {2, 11615}, {3, 804}, {4, 2780}, {5, 9148}, {76, 43667}, {140, 351}, {338, 15357}, {523, 62332}, {525, 30735}, {550, 61776}, {631, 9147}, {690, 16003}, {850, 1499}, {1595, 17994}, {1598, 47206}, {1656, 45689}, {2793, 14278}, {3268, 8151}, {3523, 9126}, {3526, 11176}, {3528, 62177}, {3541, 47230}, {3566, 18314}, {4928, 58383}, {7404, 44817}, {7824, 13306}, {9131, 32204}, {9979, 10279}, {11006, 58272}, {14295, 45807}, {19902, 20417}, {20379, 36255}, {21731, 53567}, {21733, 43665}, {23285, 32472}, {39235, 45147}, {44813, 53272}

X(62433) = reflection of X(i) in X(j) for these {i,j}: {9147, 16235}, {19912, 9148}, {21731, 53567}, {53272, 44813}
X(62433) = anticomplement of X(11615)

X(62434) = X(4)X(49276)∩X(40)X(30565)

X(62434) lies on these lines: {4, 49276}, {40, 30565}, {918, 946}, {962, 47772}, {1639, 6684}, {2786, 38324}, {2821, 18004}, {3762, 23104}, {4453, 8227}, {8760, 49288}, {10196, 38327}, {28292, 48270}

X(62434) lies on these lines: midpoint of X(4) and X(49276)

X(62435) = X(1)X(4453)∩X(10)X(918)

X(62435) lies on these lines: {1, 4453}, {2, 49276}, {8, 48571}, {10, 918}, {513, 50453}, {514, 4818}, {525, 50337}, {676, 21181}, {690, 3837}, {764, 23888}, {891, 58375}, {905, 29304}, {926, 3874}, {1125, 1638}, {1639, 3634}, {1698, 30565}, {2254, 4707}, {2457, 4985}, {2610, 3454}, {2785, 3960}, {2786, 44314}, {2826, 23795}, {3309, 20517}, {3676, 48295}, {3762, 30574}, {3776, 29350}, {3810, 48075}, {3881, 30704}, {3887, 4458}, {3910, 23789}, {4015, 30700}, {4025, 29066}, {4142, 42325}, {4467, 47724}, {4729, 47716}, {4730, 48326}, {4761, 16892}, {4775, 48227}, {4807, 29288}, {4809, 6161}, {4885, 49288}, {4992, 32478}, {5592, 45674}, {7178, 8714}, {7659, 29132}, {9508, 29102}, {9511, 25440}, {9780, 47772}, {10015, 50357}, {11263, 46397}, {14837, 59672}, {17069, 48284}, {17072, 23875}, {18004, 53571}, {18006, 53539}, {19862, 44902}, {21051, 29252}, {21192, 29051}, {21222, 53356}, {21260, 29200}, {21385, 49301}, {23755, 48409}, {23815, 29284}, {23876, 24720}, {23877, 48018}, {23879, 50352}, {24391, 55133}, {28292, 48285}, {29160, 48069}, {44429, 49277}, {45326, 51073}, {47680, 50343}, {47682, 47824}, {47726, 48252}, {47727, 48241}, {47797, 48352}, {47823, 49279}, {47887, 48339}, {48059, 59629}, {48244, 50351}, {48245, 48290}, {48300, 48573}, {49300, 50356}, {50326, 59737}
X(62435) = midpoint of X(i) and X(j) for these {i,j}: {2254, 4707}, {4467, 47724}, {4729, 47716}, {4730, 48326}, {4761, 16892}, {10015, 50357}, {21385, 49301}, {23755, 48409}, {47680, 50343}, {49300, 50356}
X(62435) = reflection of X(i) in X(j) for these {i,j}: {18004, 53571}, {48284, 17069}, {48286, 4458}, {48295, 3676}, {49288, 4885}, {50326, 59737}, {59672, 14837}
X(62435) = complement of X(49276)

X(62436) = X(3)X(4750)∩X(4)X(2786)

X(62436) lies on these lines: {3, 4750}, {4, 2786}, {5, 4120}, {20, 53333}, {631, 45674}, {684, 690}, {3090, 45661}, {3091, 53339}, {8760, 47971}, {38324, 49276}, {44410, 57243}

X(62436) = reflection of X(49276) in X(38324)

X(62437) = X(3)X(2788)∩X(4)X(2830)

X(62437) lies on these lines: {3, 2788}, {4, 2830}, {693, 28475}, {764, 2826}, {1577, 28533}, {2793, 14278}, {3309, 21146}, {4077, 39545}, {4801, 28569}, {4978, 28481}, {7212, 37592}, {14404, 34466}, {19547, 53281}, {26546, 30234}

X(62438) = X(3)X(2789)∩X(4)X(9979)

X(62438) lies on these lines: {3, 2799}, {4, 9979}, {5, 1637}, {26, 42659}, {52, 39469}, {140, 14417}, {546, 44204}, {631, 3268}, {684, 42731}, {690, 16003}, {1499, 50548}, {1656, 44564}, {1657, 9529}, {5926, 50553}, {6130, 6334}, {7529, 53318}, {8151, 45687}, {8673, 57065}, {9033, 12790}, {9126, 32204}, {9134, 10279}, {9517, 16230}, {14270, 57154}, {14697, 16534}, {30209, 33294}, {44427, 53345}

X(62438) = midpoint of X(44427) and X(53345)
X(62438) = reflection of X(i) in X(j) for these {i,j}: {6334, 6130}, {16230, 24978}, {44203, 9979}, {50553, 5926}, {57154, 14270}

  Centers related to PU(217)-PU(237): X(62439) - X(62488)  

X(62439) = CEVAPOINT OF PU(217)

X(62439) lies on these lines: {512, 25054}, {888, 36950}, {1084, 38237}

X(62439) = isotomic conjugate of X(9428)
X(62439) = isogonal conjugate of X(62410)
X(62439) = cevapoint of X(2) and X(46274)
X(62439) = crossdifference of every pair of points on the line X(9431)X(25054)
X(62439) = X(2)-cross conjugate of-X(512)
X(62439) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 9428), (512, 38237), (1084, 25054), (17423, 23180), (38986, 39337), (38996, 9431)
X(62439) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 9428}, {99, 39337}, {662, 25054}, {799, 9431}, {811, 23180}, {24037, 38237}
X(62439) = X(512)-line conjugate of-X(25054)
X(62439) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 9428), (512, 25054), (669, 9431), (798, 39337), (1084, 38237), (3049, 23180), (46274, 670)
X(62439) = trilinear pole of the line {1645, 14824} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62439) = pole of the line {9428, 62410} with respect to the Steiner-Wallace hyperbola
X(62439) = barycentric product X(512)*X(46274)
X(62439) = trilinear product X(798)*X(46274)
X(62439) = trilinear quotient X(i)/X(j) for these (i, j): (75, 9428), (512, 39337), (661, 25054), (798, 9431), (810, 23180), (46274, 799)

X(62440) = CEVAPOINT OF PU(218)

X(62440) lies on the cubic K103 and these lines: {67, 14833}, {524, 8591}, {597, 41498}, {671, 14444}, {690, 5461}, {2482, 38239}, {5095, 8787}, {11053, 51226}

X(62440) = reflection of X(11053) in X(51226)
X(62440) = isotomic conjugate of X(39061)
X(62440) = isogonal conjugate of X(41404)
X(62440) = cevapoint of X(i) and X(j) for these {i, j}: {2, 46275}, {690, 14444}
X(62440) = crosssum of X(187) and X(41449)
X(62440) = X(2)-cross conjugate of-X(524)
X(62440) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 39061), (524, 38239), (2482, 8591), (6593, 46276)
X(62440) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 39061}, {111, 39339}, {897, 46276}, {923, 8591}
X(62440) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 39061), (187, 46276), (524, 8591), (896, 39339), (2482, 38239), (46275, 671), (52678, 111)
X(62440) = pole of the line {23992, 46275} with respect to the Kiepert circumhyperbola
X(62440) = pole of the line {41404, 46276} with respect to the Stammler hyperbola
X(62440) = pole of the line {1649, 8596} with respect to the Steiner circumellipse
X(62440) = pole of the line {8591, 39061} with respect to the Steiner-Wallace hyperbola
X(62440) = barycentric product X(i)*X(j) for these {i, j}: {524, 46275}, {3266, 52678}
X(62440) = trilinear product X(i)*X(j) for these {i, j}: {896, 46275}, {14210, 52678}
X(62440) = trilinear quotient X(i)/X(j) for these (i, j): (75, 39061), (524, 39339), (896, 46276), (14210, 8591), (24038, 38239), (46275, 897), (52678, 923)

X(62441) = CEVAPOINT OF PU(220)

X(62441) lies on these lines: {519, 4480}, {551, 41529}, {900, 4928}, {3679, 36936}, {9271, 61478}, {39445, 53634}

X(62441) = isotomic conjugate of X(9460)
X(62441) = isogonal conjugate of X(41461)
X(62441) = cevapoint of X(2) and X(62413)
X(62441) = X(2)-cross conjugate of-X(519)
X(62441) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 9460), (9, 9326), (214, 9324), (4370, 17487), (5375, 9272), (38979, 9269)
X(62441) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 9326}, {31, 9460}, {88, 21781}, {106, 9324}, {649, 9272}, {901, 9269}, {9456, 17487}, {23081, 36125}
X(62441) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 9326), (2, 9460), (44, 9324), (100, 9272), (519, 17487), (902, 21781), (1635, 9269), (9271, 3257), (9325, 88), (21805, 21885), (22356, 23081), (53634, 4638), (62413, 903)
X(62441) = pole of the line {35092, 54974} with respect to the circumhyperbola dual of Yff parabola
X(62441) = pole of the line {9460, 41461} with respect to the Steiner-Wallace hyperbola
X(62441) = barycentric product X(i)*X(j) for these {i, j}: {519, 62413}, {3762, 9271}, {4358, 9325}, {52627, 53634}
X(62441) = trilinear product X(i)*X(j) for these {i, j}: {44, 62413}, {519, 9325}, {900, 9271}
X(62441) = trilinear quotient X(i)/X(j) for these (i, j): (2, 9326), (44, 21781), (75, 9460), (190, 9272), (519, 9324), (900, 9269), (3943, 21885), (4358, 17487), (5440, 23081), (9271, 901), (9325, 106), (62413, 88)

X(62442) = CEVAPOINT OF PU(221)

X(62442) lies on these lines: {2, 62443}, {824, 39345}

X(62442) = cyclocevian conjugate of the anticomplement of X(38995)
X(62442) = isotomic conjugate of X(39345)
X(62442) = antitomic conjugate of the isotomic conjugate of X(61065)
X(62442) = antitomic conjugate of the isogonal conjugate of X(62414)
X(62442) = anticomplement of X(62443)
X(62442) = isogonal conjugate of X(62444)
X(62442) = antigonal conjugate of the isogonal conjugate of X(62445)
X(62442) = anticomplementary conjugate of the anticomplement of X(62447)
X(62442) = X(i)-anticomplementary conjugate of X(j) for these (i, j): (62447, 8), (62449, 6327)
X(62442) = X(62449)-Ceva conjugate of-X(2)
X(62442) = X(4586)-cross conjugate of-X(2)
X(62442) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 39345), (9, 39335), (62443, 62443)
X(62442) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 39335}, {31, 39345}, {788, 62443}, {1491, 62450}
X(62442) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 39335), (2, 39345), (825, 62450), (4586, 62443), (62447, 3250), (62449, 824)
X(62442) = trilinear pole of the line {33904, 62449} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62442) = perspector of the inconic with center X(4586)
X(62442) = pole of the the tripolar of X(62449) with respect to the Steiner circumellipse
X(62442) = pole of the line {39345, 62444} with respect to the Steiner-Wallace hyperbola
X(62442) = barycentric product X(i)*X(j) for these {i, j}: {4586, 62449}, {37133, 62447}
X(62442) = trilinear product X(i)*X(j) for these {i, j}: {789, 62447}, {1492, 62449}
X(62442) = trilinear quotient X(i)/X(j) for these (i, j): (2, 39335), (75, 39345), (789, 62443), (1492, 62450)

X(62443) = CROSSPOINT OF PU(221)

X(62443) lies on these lines: {2, 62442}, {824, 4586}

X(62443) = complement of X(62442)
X(62443) = complementary conjugate of the complement of X(62444)
X(62443) = isogonal conjugate of X(62447)
X(62443) = isotomic conjugate of X(62449)
X(62443) = crosspoint of X(2) and X(39345)
X(62443) = X(2)-Ceva conjugate of-X(4586)
X(62443) = X(i)-complementary conjugate of X(j) for these (i, j): (31, 4586), (39335, 141), (39345, 2887), (62444, 10), (62450, 4874)
X(62443) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 62449), (4586, 2)
X(62443) = X(824)-hirst inverse of-X(4586)
X(62443) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 62449}, {788, 62442}
X(62443) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 62449), (4586, 62442), (39335, 1491), (39345, 824), (62444, 3250), (62450, 6)
X(62443) = center of: the circumconic with perspector X(4586), the inconic with perspector X(39345)
X(62443) = perspector of the circumconic with center X(4586)
X(62443) = pole of the the tripolar of X(39345) with respect to the Steiner inellipse
X(62443) = pole of the line {62447, 62449} with respect to the Steiner-Wallace hyperbola
X(62443) = barycentric product X(i)*X(j) for these {i, j}: {76, 62450}, {789, 39335}, {4586, 39345}, {37133, 62444}
X(62443) = trilinear product X(i)*X(j) for these {i, j}: {75, 62450}, {789, 62444}, {1492, 39345}, {4586, 39335}
X(62443) = trilinear quotient X(i)/X(j) for these (i, j): (75, 62449), (789, 62442), (39335, 3250), (39345, 1491)

X(62444) = CROSSSUM OF PU(221)

X(62444) lies on these lines: {3, 62445}, {6, 753}, {1979, 20999}, {2932, 21781}, {3250, 62447}, {7087, 21776}, {9259, 23402}, {9431, 21004}, {20998, 23860}, {33801, 38301}

X(62444) = isogonal conjugate of X(62442)
X(62444) = crossdifference of every pair of points on the line X(33904)X(62449)
X(62444) = X(3250)-Ceva conjugate of-X(6)
X(62444) = X(62450)-cross conjugate of-X(6)
X(62444) = X(i)-Dao conjugate of X(j) for these (i, j): (4586, 37133), (38995, 62449)
X(62444) = X(6)-hirst inverse of-X(62414)
X(62444) = X(i)-isoconjugate of X(j) for these {i, j}: {789, 62447}, {1492, 62449}
X(62444) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (3250, 62449), (39335, 75), (39345, 76), (46386, 62447), (62443, 37133), (62450, 4586)
X(62444) = X(i)-vertex conjugate of X(j) for these {i, j}: {62414, 62448}, {62445, 62446}, {62447, 62447}
X(62444) = inverse of X(62445) in circumcircle
X(62444) = pole of the line {62414, 62445} with respect to the circumcircle
X(62444) = barycentric product X(i)*X(j) for these {i, j}: {1, 39335}, {6, 39345}, {824, 62450}, {3250, 62443}
X(62444) = trilinear product X(i)*X(j) for these {i, j}: {6, 39335}, {31, 39345}, {788, 62443}, {1491, 62450}
X(62444) = trilinear quotient X(i)/X(j) for these (i, j): (788, 62447), (1491, 62449), (39335, 2), (39345, 75)
X(62444) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (753, 825, 62414), (825, 62414, 6)

X(62445) = MIDPOINT OF PU(222)

X(62445) lies on these lines: {3, 62444}, {62414, 62446}

X(62445) = isogonal conjugate of the antigonal conjugate of X(62442)
X(62445) = X(62444)-vertex conjugate of-X(62446)
X(62445) = inverse of X(62444) in circumcircle
X(62445) = pole of the line {62444, 62446} with respect to the circumcircle

X(62446) = IDEAL POINT OF PU(222)

X(62446) lies on these lines: {30, 511}, {4728, 30640}, {14402, 14407}, {14404, 30655}, {62414, 62445}

X(62446) = crossdifference of every pair of points on the line X(6)X(4586)
X(62446) = X(i)-complementary conjugate of X(j) for these (i, j): (731, 53823), (43096, 55061)
X(62446) = X(38995)-Dao conjugate of-X(43096)
X(62446) = X(i)-isoconjugate of X(j) for these {i, j}: {731, 789}, {1492, 43096}
X(62446) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (730, 37133), (2235, 789), (3250, 43096), (8622, 4586), (35539, 52611), (46386, 731)
X(62446) = X(62444)-vertex conjugate of-X(62445)
X(62446) = infinite point of the tripolar of X(i) for these i: {3250, 8622}
X(62446) = perspector of the circumconic through X(2) and X(3250)
X(62446) = barycentric product X(i)*X(j) for these {i, j}: {730, 3250}, {824, 8622}, {1491, 2235}, {35539, 46386}
X(62446) = trilinear product X(i)*X(j) for these {i, j}: {730, 788}, {1491, 8622}, {2235, 3250}, {8630, 35539}
X(62446) = trilinear quotient X(i)/X(j) for these (i, j): (730, 789), (788, 731), (1491, 43096), (2235, 4586), (8622, 1492), (35539, 46132)

X(62447) = CEVAPOINT OF PU(222)

X(62447) lies on these lines: {3250, 62444}

X(62447) = isogonal conjugate of X(62443)
X(62447) = X(6)-cross conjugate of-X(3250)
X(62447) = X(i)-Dao conjugate of X(j) for these (i, j): (206, 62450), (38995, 39345), (55049, 39335)
X(62447) = X(i)-isoconjugate of X(j) for these {i, j}: {75, 62450}, {789, 62444}, {1492, 39345}, {4586, 39335}
X(62447) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (32, 62450), (788, 39335), (3250, 39345), (46386, 62444), (62442, 37133), (62449, 76)
X(62447) = 1st Saragossa point of X(62444)
X(62447) = pole of the line {62443, 62450} with respect to the Stammler hyperbola
X(62447) = barycentric product X(i)*X(j) for these {i, j}: {6, 62449}, {3250, 62442}
X(62447) = trilinear product X(i)*X(j) for these {i, j}: {31, 62449}, {788, 62442}
X(62447) = trilinear quotient X(i)/X(j) for these (i, j): (31, 62450), (788, 62444), (1491, 39345), (3250, 39335)

X(62448) = BICENTRIC DIFFERENCE OF PU(222)

X(62448) lies on these lines: {187, 237}, {900, 4364}, {29058, 62415}, {62414, 62445}

X(62448) = isogonal conjugate of the isotomic conjugate of X(33904)
X(62448) = crossdifference of every pair of points on the line X(2)X(4586)
X(62448) = crosspoint of X(753) and X(825)
X(62448) = crosssum of X(i) and X(j) for these {i, j}: {2, 33904}, {752, 824}
X(62448) = X(753)-Ceva conjugate of-X(62414)
X(62448) = X(38995)-Dao conjugate of-X(43097)
X(62448) = X(i)-isoconjugate of X(j) for these {i, j}: {753, 789}, {1492, 43097}, {5386, 14621}
X(62448) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (752, 37133), (869, 5386), (2243, 789), (3250, 43097), (8626, 4586), (14402, 1), (14438, 870), (30655, 350), (30656, 1909), (33568, 35548), (33904, 76), (35548, 52611), (46386, 753), (52957, 1492)
X(62448) = X(62414)-vertex conjugate of-X(62444)
X(62448) = perspector of the circumconic through X(6) and X(3250)
X(62448) = pole of the line {6, 753} with respect to the circumcircle
X(62448) = pole of the line {6, 753} with respect to the Brocard inellipse
X(62448) = barycentric product X(i)*X(j) for these {i, j}: {6, 33904}, {75, 14402}, {256, 30656}, {291, 30655}, {752, 3250}, {753, 33568}, {824, 8626}, {984, 14438}, {1491, 2243}, {2276, 4809}, {8630, 30874}, {35548, 46386}, {52957, 62415}
X(62448) = trilinear product X(i)*X(j) for these {i, j}: {2, 14402}, {31, 33904}, {292, 30655}, {752, 788}, {824, 52957}, {869, 4809}, {893, 30656}, {1491, 8626}, {2243, 3250}, {2276, 14438}, {8630, 35548}
X(62448) = trilinear quotient X(i)/X(j) for these (i, j): (752, 789), (788, 753), (1491, 43097), (2243, 4586), (2276, 5386), (4809, 870), (8626, 1492), (14402, 6), (14438, 14621), (30655, 239), (30656, 894), (30874, 52611), (33904, 75), (35548, 46132), (52957, 825)
X(62448) = center of circle {{X(15), X(16), X(753)}}

X(62449) = CEVAPOINT OF PU(223)

X(62449) lies on these lines: {824, 39345}

X(62449) = isotomic conjugate of X(62443)
X(62449) = isogonal conjugate of X(62450)
X(62449) = cevapoint of X(2) and X(62442)
X(62449) = X(2)-cross conjugate of-X(824)
X(62449) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 62443), (38995, 62444), (61065, 39345)
X(62449) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 62443}, {825, 39335}, {1492, 62444}, {34069, 39345}
X(62449) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 62443), (824, 39345), (1491, 39335), (3250, 62444), (62442, 4586), (62447, 6)
X(62449) = pole of the line {62443, 62450} with respect to the Steiner-Wallace hyperbola
X(62449) = barycentric product X(i)*X(j) for these {i, j}: {76, 62447}, {824, 62442}
X(62449) = trilinear product X(i)*X(j) for these {i, j}: {75, 62447}, {1491, 62442}
X(62449) = trilinear quotient X(i)/X(j) for these (i, j): (75, 62443), (824, 39335), (1491, 62444), (62415, 39345)

X(62450) = CROSSSUM OF PU(223)

X(62450) lies on these lines: {825, 3250}

X(62450) = isogonal conjugate of X(62449)
X(62450) = crosspoint of X(6) and X(62444)
X(62450) = crosssum of X(2) and X(62442)
X(62450) = X(6)-Ceva conjugate of-X(825)
X(62450) = X(i)-Dao conjugate of X(j) for these (i, j): (206, 62447), (4586, 76)
X(62450) = X(825)-hirst inverse of-X(3250)
X(62450) = X(i)-isoconjugate of X(j) for these {i, j}: {75, 62447}, {1491, 62442}
X(62450) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (32, 62447), (825, 62442), (39335, 62415), (62443, 76), (62444, 824)
X(62450) = pole of the the tripolar of X(62444) with respect to the Brocard inellipse
X(62450) = pole of the line {62447, 62449} with respect to the Stammler hyperbola
X(62450) = barycentric product X(i)*X(j) for these {i, j}: {6, 62443}, {825, 39345}, {1492, 39335}, {4586, 62444}
X(62450) = trilinear product X(i)*X(j) for these {i, j}: {31, 62443}, {825, 39335}, {1492, 62444}, {34069, 39345}
X(62450) = trilinear quotient X(i)/X(j) for these (i, j): (31, 62447), (1492, 62442), (39335, 824), (39345, 62415)

X(62451) = CEVAPOINT OF PU(224)

X(62451) lies on these lines: {2, 62452}, {826, 39346}, {14712, 52906}

X(62451) = cyclocevian conjugate of X(4576)
X(62451) = isotomic conjugate of X(39346)
X(62451) = antitomic conjugate of X(57545)
X(62451) = isogonal conjugate of X(62416)
X(62451) = anticomplement of X(62452)
X(62451) = antigonal conjugate of the isogonal conjugate of X(62453)
X(62451) = anticomplementary conjugate of the anticomplement of X(62455)
X(62451) = X(i)-anticomplementary conjugate of X(j) for these (i, j): (62455, 8), (62457, 6327)
X(62451) = X(62457)-Ceva conjugate of-X(2)
X(62451) = X(4577)-cross conjugate of-X(2)
X(62451) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 39346), (9, 39336), (62452, 62452)
X(62451) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 39336}, {31, 39346}, {2084, 62452}, {8061, 62458}
X(62451) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 39336), (2, 39346), (827, 62458), (4577, 62452), (62455, 3005), (62457, 826)
X(62451) = trilinear pole of the line {32193, 33907} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62451) = perspector of the inconic with center X(4577)
X(62451) = pole of the the tripolar of X(62457) with respect to the Steiner circumellipse
X(62451) = pole of the line {39346, 62416} with respect to the Steiner-Wallace hyperbola
X(62451) = barycentric product X(i)*X(j) for these {i, j}: {689, 62455}, {4577, 62457}
X(62451) = trilinear product X(i)*X(j) for these {i, j}: {4593, 62455}, {4599, 62457}
X(62451) = trilinear quotient X(i)/X(j) for these (i, j): (2, 39336), (75, 39346), (4593, 62452), (4599, 62458)

X(62452) = CROSSPOINT OF PU(224)

X(62452) lies on these lines: {2, 62451}, {316, 40850}, {826, 4577}, {18828, 53657}

X(62452) = reflection of X(4577) in X(57545)
X(62452) = complementary conjugate of the complement of X(62416)
X(62452) = complement of X(62451)
X(62452) = isogonal conjugate of X(62455)
X(62452) = isotomic conjugate of X(62457)
X(62452) = crosspoint of X(2) and X(39346)
X(62452) = X(2)-Ceva conjugate of-X(4577)
X(62452) = X(i)-complementary conjugate of X(j) for these (i, j): (31, 4577), (39336, 141), (39346, 2887), (62416, 10), (62458, 8060)
X(62452) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 62457), (4577, 2)
X(62452) = X(826)-hirst inverse of-X(4577)
X(62452) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 62457}, {2084, 62451}
X(62452) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 62457), (4577, 62451), (39336, 8061), (39346, 826), (62416, 3005), (62458, 6)
X(62452) = center of: the circumconic with perspector X(4577), the inconic with perspector X(39346)
X(62452) = perspector of the circumconic with center X(4577)
X(62452) = pole of the the tripolar of X(39346) with respect to the Steiner inellipse
X(62452) = pole of the line {62455, 62457} with respect to the Steiner-Wallace hyperbola
X(62452) = barycentric product X(i)*X(j) for these {i, j}: {76, 62458}, {689, 62416}, {4577, 39346}, {4593, 39336}
X(62452) = trilinear product X(i)*X(j) for these {i, j}: {75, 62458}, {4577, 39336}, {4593, 62416}, {4599, 39346}
X(62452) = trilinear quotient X(i)/X(j) for these (i, j): (75, 62457), (4593, 62451), (39336, 3005), (39346, 8061), (62416, 2084)

X(62453) = MIDPOINT OF PU(225)

X(62453) lies on these lines: {3, 35214}, {5113, 35971}, {41178, 62417}

X(62453) = isogonal conjugate of the antigonal conjugate of X(62451)
X(62453) = X(62416)-vertex conjugate of-X(62454)
X(62453) = inverse of X(62416) in circumcircle
X(62453) = pole of the line {62416, 62454} with respect to the circumcircle

X(62454) = IDEAL POINT OF PU(225)

X(62454) lies on these lines: {6, 17997}, {30, 511}, {351, 11205}, {2531, 57132}, {10191, 11176}, {14406, 14424}, {41178, 62417}

X(62454) = isogonal conjugate of X(59026)
X(62454) = circumtangential-isogonal conjugate of X(59026)
X(62454) = crossdifference of every pair of points on the line X(6)X(4577)
X(62454) = crosspoint of X(i) and X(j) for these {i, j}: {882, 3005}, {4576, 56978}, {8623, 56980}
X(62454) = crosssum of X(i) and X(j) for these {i, j}: {2, 18010}, {4577, 17941}, {18105, 56976}
X(62454) = X(i)-anticomplementary conjugate of X(j) for these (i, j): (41209, 21289), (43763, 39346), (59026, 8)
X(62454) = X(i)-Ceva conjugate of X(j) for these (i, j): (6, 39079), (732, 41178), (882, 3005), (4576, 61063), (14970, 35971), (20021, 15449), (27375, 2679), (56980, 8623)
X(62454) = X(i)-complementary conjugate of X(j) for these (i, j): (82, 39079), (4599, 61063), (41209, 21249), (43763, 15449), (52936, 19563), (59026, 10)
X(62454) = X(i)-Dao conjugate of X(j) for these (i, j): (141, 41209), (732, 880), (826, 56981), (3124, 14970), (5113, 18010), (19576, 52936), (36213, 4577), (41178, 56979), (52042, 805), (55050, 733), (61063, 689)
X(62454) = X(2531)-hirst inverse of-X(57132)
X(62454) = X(i)-isoconjugate of X(j) for these {i, j}: {82, 41209}, {733, 4593}, {1581, 52936}, {4577, 43763}, {4599, 14970}, {37134, 52395}
X(62454) = X(17997)-line conjugate of-X(6)
X(62454) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (39, 41209), (688, 733), (732, 689), (1691, 52936), (2084, 43763), (2236, 4593), (2528, 18896), (2531, 694), (3005, 14970), (5027, 52395), (8041, 18829), (8623, 4577), (15449, 56981), (21752, 36081), (35540, 42371), (39079, 18010), (41178, 58784), (56915, 827), (56980, 57545), (57132, 1916), (59994, 805), (61063, 880)
X(62454) = X(62416)-vertex conjugate of-X(62453)
X(62454) = infinite point of the tripolar of X(i) for these i: {3005, 8041, 8623, 16587, 35540, 59262}
X(62454) = pedal antipodal perspector of X(59026)
X(62454) = center of the central inconic through X(880) and X(56981)
X(62454) = perspector of the circumconic through X(2) and X(3005)
X(62454) = barycentric product X(i)*X(j) for these {i, j}: {385, 57132}, {688, 35540}, {732, 3005}, {804, 8041}, {826, 8623}, {882, 61063}, {1691, 2528}, {2236, 8061}, {2531, 3978}, {4576, 41178}, {5027, 7794}, {14295, 59994}, {15449, 56980}, {17941, 62417}, {23285, 56915}
X(62454) = trilinear product X(i)*X(j) for these {i, j}: {732, 2084}, {1580, 57132}, {1933, 2528}, {1966, 2531}, {2236, 3005}, {8061, 8623}, {16587, 46387}, {56915, 62418}, {56982, 62417}
X(62454) = trilinear quotient X(i)/X(j) for these (i, j): (38, 41209), (732, 4593), (1580, 52936), (2084, 733), (2236, 4577), (2528, 1934), (2531, 1967), (3005, 43763), (8041, 37134), (8061, 14970), (8623, 4599), (35540, 37204), (40936, 36081), (41178, 55240), (56915, 34072), (56982, 57545), (57132, 1581)

X(62455) = CEVAPOINT OF PU(225)

X(62455) lies on these lines: {3005, 62416}

X(62455) = isogonal conjugate of X(62452)
X(62455) = X(6)-cross conjugate of-X(3005)
X(62455) = X(i)-Dao conjugate of X(j) for these (i, j): (206, 62458), (3124, 39346), (55050, 62416)
X(62455) = X(i)-isoconjugate of X(j) for these {i, j}: {75, 62458}, {4577, 39336}, {4593, 62416}, {4599, 39346}
X(62455) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (32, 62458), (688, 62416), (2084, 39336), (3005, 39346), (62451, 689), (62457, 76)
X(62455) = 1st Saragossa point of X(62416)
X(62455) = pole of the line {62452, 62458} with respect to the Stammler hyperbola
X(62455) = barycentric product X(i)*X(j) for these {i, j}: {6, 62457}, {3005, 62451}
X(62455) = trilinear product X(i)*X(j) for these {i, j}: {31, 62457}, {2084, 62451}
X(62455) = trilinear quotient X(i)/X(j) for these (i, j): (31, 62458), (2084, 62416), (3005, 39336), (8061, 39346)

X(62456) = BICENTRIC DIFFERENCE OF PU(225)

X(62456) lies on these lines: {76, 35558}, {187, 237}, {690, 6292}, {827, 17997}, {2896, 18010}, {39079, 59801}, {41178, 62417}

X(62456) = midpoint of X(2896) and X(18010)
X(62456) = isotomic conjugate of the isogonal conjugate of X(14403)
X(62456) = isogonal conjugate of the isotomic conjugate of X(33907)
X(62456) = Gibert-circumtangential conjugate of X(58112)
X(62456) = crossdifference of every pair of points on the line X(2)X(4577)
X(62456) = crosspoint of X(i) and X(j) for these {i, j}: {6, 58112}, {755, 827}, {14420, 14428}
X(62456) = crosssum of X(i) and X(j) for these {i, j}: {2, 33907}, {754, 826}
X(62456) = X(i)-Ceva conjugate of X(j) for these (i, j): (755, 62417), (14420, 33907), (14428, 14403), (58112, 6)
X(62456) = X(33666)-complementary conjugate of-X(21253)
X(62456) = X(i)-Dao conjugate of X(j) for these (i, j): (206, 58112), (3124, 43098), (55050, 755), (61064, 689)
X(62456) = X(i)-isoconjugate of X(j) for these {i, j}: {75, 58112}, {755, 4593}, {4599, 43098}, {5389, 52394}
X(62456) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (32, 58112), (688, 755), (754, 689), (2244, 4593), (3005, 43098), (8627, 4577), (14403, 6), (14420, 308), (14428, 83), (21814, 5389), (33907, 76), (35549, 42371), (52906, 670), (52958, 827)
X(62456) = X(62416)-vertex conjugate of-X(62417)
X(62456) = perspector of the circumconic through X(6) and X(3005)
X(62456) = pole of the line {574, 9480} with respect to the 1st Brocard circle
X(62456) = pole of the line {6, 755} with respect to the circumcircle
X(62456) = pole of the line {3613, 43098} with respect to the nine-point circle
X(62456) = pole of the line {6, 755} with respect to the Brocard inellipse
X(62456) = pole of the line {669, 2916} with respect to the Kiepert parabola
X(62456) = pole of the line {99, 2528} with respect to the Stammler hyperbola
X(62456) = pole of the line {39, 33666} with respect to the Steiner inellipse
X(62456) = barycentric product X(i)*X(j) for these {i, j}: {6, 33907}, {39, 14420}, {76, 14403}, {141, 14428}, {512, 52906}, {688, 35549}, {754, 3005}, {826, 8627}, {2244, 8061}, {4156, 21123}, {23285, 52958}, {52979, 57132}
X(62456) = trilinear product X(i)*X(j) for these {i, j}: {31, 33907}, {38, 14428}, {75, 14403}, {754, 2084}, {798, 52906}, {1964, 14420}, {2244, 3005}, {4156, 50521}, {8061, 8627}, {52958, 62418}
X(62456) = trilinear quotient X(i)/X(j) for these (i, j): (31, 58112), (754, 4593), (2084, 755), (2244, 4577), (8061, 43098), (8627, 4599), (14403, 31), (14420, 3112), (14428, 82), (21035, 5389), (33907, 75), (35549, 37204), (52906, 799), (52958, 34072)
X(62456) = center of circles {{ X(i), X(j), X(k) }} for these {i, j, k}: {15, 16, 755}, {2896, 8290, 18010}

X(62457) = CEVAPOINT OF PU(226)

X(62457) lies on these lines: {826, 39346}, {32193, 33907}

X(62457) = isotomic conjugate of X(62452)
X(62457) = isogonal conjugate of X(62458)
X(62457) = cevapoint of X(2) and X(62451)
X(62457) = X(2)-cross conjugate of-X(826)
X(62457) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 62452), (3124, 62416), (15449, 39346), (55043, 39336)
X(62457) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 62452}, {827, 39336}, {4599, 62416}, {34072, 39346}
X(62457) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 62452), (826, 39346), (3005, 62416), (8061, 39336), (62451, 4577), (62455, 6)
X(62457) = pole of the line {62452, 62458} with respect to the Steiner-Wallace hyperbola
X(62457) = barycentric product X(i)*X(j) for these {i, j}: {76, 62455}, {826, 62451}
X(62457) = trilinear product X(i)*X(j) for these {i, j}: {75, 62455}, {8061, 62451}
X(62457) = trilinear quotient X(i)/X(j) for these (i, j): (75, 62452), (826, 39336), (8061, 62416), (62418, 39346)

X(62458) = CROSSSUM OF PU(226)

X(62458) lies on these lines: {23, 46228}, {783, 58113}, {827, 3005}, {4630, 46970}

X(62458) = isogonal conjugate of X(62457)
X(62458) = crosspoint of X(6) and X(62416)
X(62458) = crosssum of X(2) and X(62451)
X(62458) = X(6)-Ceva conjugate of-X(827)
X(62458) = X(i)-Dao conjugate of X(j) for these (i, j): (206, 62455), (4577, 76)
X(62458) = X(827)-hirst inverse of-X(3005)
X(62458) = X(i)-isoconjugate of X(j) for these {i, j}: {75, 62455}, {8061, 62451}
X(62458) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (32, 62455), (827, 62451), (39336, 62418), (39346, 23285), (62416, 826), (62452, 76)
X(62458) = pole of the the tripolar of X(62416) with respect to the Brocard inellipse
X(62458) = pole of the line {62455, 62457} with respect to the Stammler hyperbola
X(62458) = barycentric product X(i)*X(j) for these {i, j}: {6, 62452}, {827, 39346}, {4577, 62416}, {4599, 39336}
X(62458) = trilinear product X(i)*X(j) for these {i, j}: {31, 62452}, {827, 39336}, {4599, 62416}, {34072, 39346}
X(62458) = trilinear quotient X(i)/X(j) for these (i, j): (31, 62455), (4599, 62451), (39336, 826), (39346, 62418), (62416, 8061)

X(62459) = MIDPOINT OF PU(228)

X(62459) lies on these lines: {43, 8640}, {5143, 14823}, {15624, 59565}

X(62460) = IDEAL POINT OF PU(228)

X(62460) lies on these lines: {30, 511}, {43, 8640}, {10453, 50516}, {20012, 20983}

X(62460) = crossdifference of every pair of points on the line X(6)X(40881)
X(62460) = crosssum of X(8640) and X(17754)
X(62460) = X(56142)-complementary conjugate of-X(5518)
X(62460) = X(932)-isoconjugate of-X(56142)
X(62460) = X(20979)-reciprocal conjugate of-X(56142)
X(62460) = infinite point of the tripolar of X(62421)
X(62460) = perspector of the circumconic through X(2) and X(62421)
X(62460) = trilinear quotient X(4083)/X(56142)

X(62461) = CEVAPOINT OF PU(228)

X(62461) lies on these lines: {55, 3009}, {100, 56357}, {192, 56180}, {2177, 17459}, {3550, 62421}, {7032, 23561}, {7035, 8026}, {17594, 21337}, {56181, 62422}

X(62461) = isogonal conjugate of X(62419)
X(62461) = X(i)-cross conjugate of X(j) for these (i, j): (21760, 62421), (56806, 2209)
X(62461) = X(206)-Dao conjugate of-X(17105)
X(62461) = X(i)-isoconjugate of X(j) for these {i, j}: {75, 17105}, {87, 24524}, {330, 17350}, {2162, 59518}, {3550, 6384}, {4598, 31286}, {17743, 27502}, {18830, 48330}, {32039, 57235}
X(62461) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (32, 17105), (43, 59518), (2176, 24524), (2209, 17350), (3551, 6383), (7032, 27502), (8640, 31286), (56806, 41771), (62420, 3550), (62422, 76)
X(62461) = pole of the line {17105, 62419} with respect to the Stammler hyperbola
X(62461) = barycentric product X(i)*X(j) for these {i, j}: {6, 62422}, {2176, 3551}
X(62461) = trilinear product X(i)*X(j) for these {i, j}: {31, 62422}, {2209, 3551}
X(62461) = trilinear quotient X(i)/X(j) for these (i, j): (31, 17105), (43, 24524), (192, 59518), (2176, 17350), (2209, 3550), (2275, 27502), (3551, 6384), (8640, 48330), (20284, 41771), (20979, 31286), (57050, 57235), (62422, 75)

X(62462) = CROSSSUM OF PU(230)

X(62462) lies on these lines: {6, 29018}

X(62463) = BICENTRIC SUM OF PU(230)

X(62463) lies on these lines: {2, 172}, {30, 511}, {4396, 5080}, {4400, 20060}, {4479, 11361}, {4799, 49487}, {5291, 20541}, {7267, 33864}, {7750, 20691}, {7759, 8666}, {7762, 17448}, {7767, 25102}, {7823, 17144}, {7843, 24387}, {7893, 24524}, {8667, 11236}, {8716, 34620}, {9766, 11194}, {11237, 47037}, {17251, 48832}, {24699, 60353}, {25383, 50759}, {29584, 50068}, {29615, 50048}, {34505, 34739}, {41312, 48814}, {48801, 48825}, {48848, 50124}, {49711, 49777}, {50056, 50073}

X(62463) = infinite point of the tripolar of X(62464)
X(62463) = perspector of the circumconic through X(2) and X(62464)

X(62464) = BARYCENTRIC PRODUCT OF PU(230)

X(62464) lies on the Steiner circumellipse and these lines: {99, 29018}, {100, 57969}, {668, 4579}, {903, 56065}

X(62464) = isotomic conjugate of X(29017)
X(62464) = isogonal conjugate of the Gibert-circumtangential conjugate of X(29018)
X(62464) = cevapoint of X(i) and X(j) for these {i, j}: {2, 29017}, {514, 29645}
X(62464) = crosssum of X(6) and X(62462)
X(62464) = X(29017)-cross conjugate of-X(2)
X(62464) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 29017), (6631, 32778), (39054, 35623)
X(62464) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 29017}, {512, 35623}, {667, 32778}
X(62464) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 29017), (190, 32778), (662, 35623), (29018, 6), (56065, 514), (62465, 75)
X(62464) = trilinear pole of the line {2, 172} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62464) = perspector of the inconic with center X(29017)
X(62464) = barycentric product X(i)*X(j) for these {i, j}: {1, 62465}, {76, 29018}, {190, 56065}
X(62464) = trilinear product X(i)*X(j) for these {i, j}: {6, 62465}, {75, 29018}, {100, 56065}
X(62464) = trilinear quotient X(i)/X(j) for these (i, j): (75, 29017), (99, 35623), (668, 32778), (29018, 31), (56065, 513)

X(62465) = TRILINEAR PRODUCT OF PU(230)

X(62465) lies on these lines: {668, 4579}, {789, 29018}, {1978, 18047}, {31002, 56065}

X(62465) = X(i)-Dao conjugate of X(j) for these (i, j): (6376, 29017), (9296, 32778), (31998, 35623)
X(62465) = X(i)-isoconjugate of X(j) for these {i, j}: {32, 29017}, {798, 35623}, {1919, 32778}
X(62465) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (75, 29017), (99, 35623), (668, 32778), (29018, 31), (56065, 513), (62464, 1)
X(62465) = trilinear pole of the line {75, 171} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62465) = pole of the the tripolar of X(35623) with respect to the Steiner-Wallace hyperbola
X(62465) = barycentric product X(i)*X(j) for these {i, j}: {75, 62464}, {561, 29018}, {668, 56065}
X(62465) = trilinear product X(i)*X(j) for these {i, j}: {2, 62464}, {76, 29018}, {190, 56065}
X(62465) = trilinear quotient X(i)/X(j) for these (i, j): (76, 29017), (799, 35623), (1978, 32778), (29018, 32), (56065, 649)

X(62466) = CROSSSUM OF PU(231)

X(62466) lies on these lines: {9259, 20839}

X(62467) = BICENTRIC SUM OF PU(231)

X(62467) lies on these lines: {1, 24699}, {2, 1914}, {30, 511}, {141, 53602}, {149, 4396}, {1279, 25357}, {3006, 4760}, {3011, 25383}, {3744, 25345}, {3829, 13468}, {3938, 4799}, {4376, 5014}, {4400, 52367}, {4421, 9766}, {4450, 24690}, {4690, 49484}, {4708, 19868}, {4797, 29673}, {4805, 37610}, {7745, 25102}, {7750, 17448}, {7759, 8715}, {7762, 20691}, {7780, 24387}, {7823, 24524}, {7893, 17144}, {8667, 11235}, {8716, 34626}, {17251, 48805}, {17281, 17346}, {17301, 17378}, {17330, 17359}, {17382, 17392}, {17738, 49752}, {24358, 32850}, {24724, 32856}, {31140, 47037}, {34505, 34706}, {41312, 49746}, {41842, 50030}, {48810, 50297}, {48821, 50299}, {48829, 50301}, {50074, 50107}, {50101, 50133}, {51922, 56855}

X(62467) = infinite point of the tripolar of X(62468)
X(62467) = perspector of the circumconic through X(2) and X(62468)

X(62468) = BARYCENTRIC PRODUCT OF PU(231)

X(62468) lies on the Steiner circumellipse and these lines: {58, 18827}, {101, 4562}, {668, 3573}, {903, 55970}, {1492, 41072}, {3732, 35148}, {4586, 33951}, {18895, 39029}

X(62468) = isotomic conjugate of X(62423)
X(62468) = cevapoint of X(2) and X(62423)
X(62468) = crosssum of X(6) and X(62466)
X(62468) = X(62423)-cross conjugate of-X(2)
X(62468) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 62423), (9, 50454), (5375, 49509), (6631, 29674), (10001, 36482), (31998, 30965)
X(62468) = X(i)-isoconjugate of X(j) for these {i, j}: {6, 50454}, {31, 62423}, {649, 49509}, {667, 29674}, {798, 30965}, {3063, 36482}
X(62468) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1, 50454), (2, 62423), (99, 30965), (100, 49509), (190, 29674), (664, 36482), (55970, 514), (62469, 75)
X(62468) = X(4589)-vertex conjugate of-X(32739)
X(62468) = X(43)-zayin conjugate of-X(50454)
X(62468) = trilinear pole of the line {2, 1914} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62468) = perspector of the inconic with center X(62423)
X(62468) = pole of the the tripolar of X(30965) with respect to the Steiner-Wallace hyperbola
X(62468) = barycentric product X(i)*X(j) for these {i, j}: {1, 62469}, {190, 55970}
X(62468) = trilinear product X(i)*X(j) for these {i, j}: {6, 62469}, {100, 55970}
X(62468) = trilinear quotient X(i)/X(j) for these (i, j): (2, 50454), (75, 62423), (190, 49509), (668, 29674), (799, 30965), (4554, 36482), (55970, 513)

X(62469) = TRILINEAR PRODUCT OF PU(231)

X(62469) lies on these lines: {81, 40017}, {100, 4583}, {668, 3573}, {1978, 3570}, {6654, 18031}, {31002, 55970}

X(62469) = isotomic conjugate of X(50454)
X(62469) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 50454), (6376, 62423), (6631, 49509), (9296, 29674)
X(62469) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 50454}, {32, 62423}, {667, 49509}, {669, 30965}, {1919, 29674}
X(62469) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 50454), (75, 62423), (190, 49509), (668, 29674), (799, 30965), (4554, 36482), (55970, 513), (62468, 1)
X(62469) = X(1740)-zayin conjugate of-X(50454)
X(62469) = trilinear pole of the line {75, 238} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62469) = barycentric product X(i)*X(j) for these {i, j}: {75, 62468}, {668, 55970}
X(62469) = trilinear product X(i)*X(j) for these {i, j}: {2, 62468}, {190, 55970}
X(62469) = trilinear quotient X(i)/X(j) for these (i, j): (75, 50454), (76, 62423), (668, 49509), (670, 30965), (1978, 29674), (4572, 36482), (55970, 649)

X(62470) = CEVAPOINT OF PU(232)

X(62470) lies on these lines: {2, 62471}

X(62470) = isotomic conjugate of the anticomplement of X(52885)
X(62470) = anticomplement of X(62471)
X(62470) = isogonal conjugate of X(62472)
X(62470) = X(52885)-cross conjugate of-X(2)
X(62470) = X(62471)-Dao conjugate of-X(62471)
X(62470) = X(52885)-reciprocal conjugate of-X(62471)
X(62470) = perspector of the inconic with center X(52885)

X(62471) = CROSSPOINT OF PU(232)

X(62471) lies on these lines: {2, 62470}, {4409, 62474}

X(62471) = complement of X(62470)
X(62471) = complementary conjugate of the complement of X(62472)
X(62471) = X(2)-Ceva conjugate of-X(52885)
X(62471) = X(i)-complementary conjugate of X(j) for these (i, j): (31, 52885), (62472, 10)
X(62471) = X(52885)-Dao conjugate of-X(2)
X(62471) = X(52885)-reciprocal conjugate of-X(62470)
X(62471) = center of the circumconic with perspector X(52885)
X(62471) = perspector of the circumconic with center X(52885)

X(62472) = CROSSSUM OF PU(232)

X(62472) lies on these lines: {6, 101}, {5029, 62483}

X(62472) = isogonal conjugate of X(62470)
X(62472) = pole of the line {16704, 62470} with respect to the Stammler hyperbola
X(62472) = (X(1015), X(9259))-harmonic conjugate of X(21781)

X(62473) = TRILINEAR PRODUCT OF PU(232)

X(62473) lies on these lines: {75, 537}, {3626, 32018}

X(62473) = X(62471)-Dao conjugate of-X(1)
X(62473) = X(52885)-reciprocal conjugate of-X(1)
X(62473) = barycentric product X(75)*X(52885)
X(62473) = trilinear product X(2)*X(52885)
X(62473) = trilinear quotient X(52885)/X(6)
X(62473) = (X(668), X(4986))-harmonic conjugate of X(20568)

X(62474) = CROSSPOINT OF PU(233)

X(62474) lies on these lines: {4409, 62471}

X(62474) = complement of the isogonal conjugate of X(62475)
X(62474) = X(2)-Ceva conjugate of-X(62424)
X(62474) = X(i)-complementary conjugate of X(j) for these (i, j): (31, 62424), (62475, 10)
X(62474) = X(62424)-Dao conjugate of-X(2)
X(62474) = center of the circumconic with perspector X(62424)
X(62474) = perspector of the circumconic with center X(62424)

X(62475) = CROSSSUM OF PU(233)

X(62475) lies on these lines: {6, 101}, {5029, 62487}

X(62475) = isogonal conjugate of the anticomplement of X(62474)

X(62476) = TRILINEAR PRODUCT OF PU(233)

X(62476) lies on these lines: {75, 537}

X(62476) = X(62474)-Dao conjugate of-X(1)
X(62476) = X(62424)-reciprocal conjugate of-X(1)
X(62476) = barycentric product X(75)*X(62424)
X(62476) = trilinear product X(2)*X(62424)
X(62476) = trilinear quotient X(62424)/X(6)

X(62477) = TRILINEAR POLE OF LINE P(234)U(234)

X(62477) lies on these lines: {}

X(62477) = isogonal conjugate of X(62478)
X(62477) = trilinear pole of the line {4977, 17365} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line

X(62478) = CROSSDIFFERENCE OF PU(234)

X(62478) lies on these lines: {6, 595}, {101, 37510}, {926, 58160}, {34545, 40586}

X(62478) = isogonal conjugate of X(62477)
X(62478) = crossdifference of every pair of points on the line X(4977)X(17365)
X(62478) = pole of the line {8025, 62477} with respect to the Stammler hyperbola
X(62478) = pole of the line {52572, 62477} with respect to the Steiner-Wallace hyperbola

X(62479) = TRILINEAR PRODUCT OF PU(234)

X(62479) lies on these lines: {57, 16727}, {4850, 57785}, {7196, 33146}

X(62479) = X(62425)-reciprocal conjugate of-X(1)
X(62479) = barycentric product X(75)*X(62425)
X(62479) = trilinear product X(2)*X(62425)
X(62479) = trilinear quotient X(62425)/X(6)

X(62480) = TRILINEAR POLE OF LINE P(235)U(235)

X(62480) lies on these lines: {121, 1016}, {3911, 11814}

X(62480) = isogonal conjugate of X(62481)
X(62480) = trilinear pole of the line {900, 17362} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line

X(62481) = CROSSDIFFERENCE OF PU(235)

X(62481) lies on these lines: {6, 101}, {58, 20958}, {238, 47622}, {6371, 58179}, {8699, 28527}, {22350, 23579}

X(62481) = isogonal conjugate of X(62480)
X(62481) = crossdifference of every pair of points on the line X(900)X(17362)
X(62481) = pole of the line {16704, 62480} with respect to the Stammler hyperbola

X(62482) = TRILINEAR PRODUCT OF PU(235)

X(62482) lies on these lines: {997, 4723}, {4358, 39594}, {29872, 30473}

X(62482) = X(62426)-reciprocal conjugate of-X(1)
X(62482) = barycentric product X(75)*X(62426)
X(62482) = trilinear product X(2)*X(62426)
X(62482) = trilinear quotient X(62426)/X(6)

X(62483) = CROSSSUM OF PU(236)

X(62483) lies on these lines: {6, 110}, {5029, 62472}, {5351, 14705}, {5352, 14704}, {10329, 22112}, {16187, 34481}, {31652, 41273}, {40915, 50989}

X(62484) = TRILINEAR PRODUCT OF PU(236)

X(62484) lies on these lines: {75, 799}

X(62484) = X(52886)-reciprocal conjugate of-X(1)
X(62484) = barycentric product X(75)*X(52886)
X(62484) = trilinear product X(2)*X(52886)
X(62484) = trilinear quotient X(52886)/X(6)
X(62484) = (X(799), X(20903))-harmonic conjugate of X(46277)

X(62485) = CROSSPOINT OF PU(237)

X(62485) lies on these lines: {2, 62486}, {9165, 40429}

X(62485) = complement of X(62486)
X(62485) = complementary conjugate of the complement of X(62487)
X(62485) = X(2)-Ceva conjugate of-X(62427)
X(62485) = X(i)-complementary conjugate of X(j) for these (i, j): (31, 62427), (62487, 10)
X(62485) = X(62427)-Dao conjugate of-X(2)
X(62485) = X(62427)-reciprocal conjugate of-X(62486)
X(62485) = center of the circumconic with perspector X(62427)
X(62485) = perspector of the circumconic with center X(62427)

X(62486) = CEVAPOINT OF PU(237)

X(62486) lies on these lines: {2, 62485}

X(62486) = isotomic conjugate of the anticomplement of X(62427)
X(62486) = anticomplement of X(62485)
X(62486) = isogonal conjugate of X(62487)
X(62486) = X(62427)-cross conjugate of-X(2)
X(62486) = X(62485)-Dao conjugate of-X(62485)
X(62486) = X(62427)-reciprocal conjugate of-X(62485)
X(62486) = perspector of the inconic with center X(62427)

X(62487) = CROSSSUM OF PU(237)

X(62487) lies on these lines: {6, 110}, {5029, 62475}

X(62487) = isogonal conjugate of X(62486)
X(62487) = pole of the line {524, 62486} with respect to the Stammler hyperbola
X(62487) = pole of the line {3266, 62486} with respect to the Steiner-Wallace hyperbola

X(62488) = TRILINEAR PRODUCT OF PU(237)

X(62488) lies on these lines: {75, 799}, {1821, 14211}

X(62488) = X(62485)-Dao conjugate of-X(1)
X(62488) = X(62427)-reciprocal conjugate of-X(1)
X(62488) = barycentric product X(75)*X(62427)
X(62488) = trilinear product X(2)*X(62427)
X(62488) = trilinear quotient X(62427)/X(6)

   Infinity bisectors: X(62489) - X(62510)  

Contributed by Clark Kimberling and Peter Moses, April 5, 2024.

Let O denote the circumcenter, (O) the circumcircle, and L the line at infinity. Suppose that P = p:q:r and U = u:v:w are points on (O) and that P, O, U are noncollinear. Let L₁ be the tangent to (O) at P and L₂ the tangent to (O) at U. Let D = L₁∩L₂ and M = OD∩L. As the line OM bisects the angle between L₁ and L₂, the point M is here named the (P,U)-infinity bisector. Barycentrics for the (P,U)-infinity bisector are given by

(a² - b² + c²)(q u - p v) - (a² + b² - c²)(r u - p w) - 2a²(r v - q w) : :

The appearance of {{i,j},k} in the following lists means that X(k) = {X(i),X(j)}-infinity bisector.

{{74,98},542}, {{74,99},690}, {{74,100},8674}, {{74,101},2774}, {{74,102},2779}, {{74,103},2772}, {{74,104},2771}, {{74,105},2836}, {{74,106},2842}, {{74,107},9033}, {{74,108},2850}, {{74,109},2773}, {{74,110},526}, {{74,111},2854}, {{74,112},9517}, {{74,476},523}, {{74,477},30},

{{98,99},804}, {{98,100},2787}, {{98,101},2786}, {{98,102},2792}, {{98,103},2784}, {{98,104},2783}, {{98,105},2795}, {{98,106},2796}, {{98,107},2797}, {{98,108},2798}, {{98,109},2785}, {{98,110},690}, {{98,111},543}, {{98,112},2799}, {{98,476},62489}, {{98,477},62490},

{{99,100},2783}, {{99,101},2784}, {{99,102},2785}, {{99,103},2786}, {{99,104},2787}, {{99,105},2788}, {{99,106},2789}, {{99,107},2790}, {{99,108},2791}, {{99,109},2792}, {{99,110},542}, {{99,111},2793}, {{99,112},2794},

{{100,101},2801}, {{100,102},3738}, {{100,103},3887}, {{100,104},900}, {{100,105},2826}, {{100,106},2827}, {{100,107},2828}, {{100,108},2829}, {{100,109},2800}, {{100,110},2771}, {{100,111},2830}, {{100,112},2831}, {{100,476},62491}, {{100,477},62492},

{{101,102},928}, {{101,103},926}, {{101,104},3887}, {{101,105},2820}, {{101,106},2821}, {{101,107},2822}, {{101,108},2823}, {{101,109},2807}, {{101,110},2772}, {{101,111},2824}, {{101,112},2825}, {{101,476},62493}, {{101,477},62494},

{{102,103},2807}, {{102,104},2800}, {{102,105},2835}, {{102,106},2841}, {{102,107},2846}, {{102,108},2849}, {{102,109},8677}, {{102,110},2773}, {{102,111},2852}, {{102,112},2853}, {{102,476},62495}, {{102,477},62496},

{{103,104},2801}, {{103,105},2809}, {{103,106},2810}, {{103,107},2811}, {{103,108},2812}, {{103,109},928}, {{103,110},2774}, {{103,111},2813}, {{103,112},9518}, {{103,675},544},

{{104,105},528}, {{104,106},2802}, {{104,107},2803}, {{104,108},2804}, {{104,109},3738}, {{104,110},8674}, {{104,111},2805}, {{104,112},2806},

{{105,106},9519}, {{105,107},9520}, {{105,108},9521}, {{105,109},2814}, {{105,110},2775}, {{105,111},9522}, {{105,112},9523}, {{105,476},62497}, {{105,477},62498},

{{106,107},9524}, {{106,108},9525}, {{106,109},2815}, {{106,110},2776}, {{106,111},9526}, {{106,112},9527}, {{106,476},62499}, {{106,477},62500},

{{107,108},9528}, {{107,109},2816}, {{107,110},2777}, {{107,111},9529}, {{107,112},9530}, {{107,476},62501}, {{107,477},62502},

{{108,109},2817}, {{108,110},2778}, {{108,111},9531}, {{108,112},{62503}, {{108,476},62504}, {{107,477},62505},

{{109,110},2779}, {{109,111},2819}, {{109,112},9532},

{{110,111},2780}, {{110,112},2781}, {{110,476},30}, {{110,477},523},

{{111,112},{62506}, {{111,476},62507}, {{111,477},62508},

{{112,476},62509}, {{112,477},62510},

{{476,477},16171}

The line PU is the polar of D with respect to the circumcircle and OD is perpendicular to PU. Then M, the infinite bisector of {P,U}, is the orthopoint of the point at infinity of the line PU. (César Lozada, April 7, 2024)

X(62489) = {X(98),X(476)}-INFINITY BISECTOR

X(62489) lies on these lines: {2, 44814}, {3, 23105}, {5, 39482}, {13, 57123}, {14, 57122}, {23, 4108}, {24, 46371}, {30, 511}, {98, 477}, {99, 476}, {114, 25641}, {115, 647}, {140, 59741}, {147, 34193}, {148, 14731}, {186, 14618}, {187, 47229}, {237, 31953}, {381, 34291}, {403, 16229}, {460, 47627}, {620, 22104}, {671, 9213}, {691, 48951}, {805, 53869}, {842, 43654}, {935, 53692}, {1116, 10278}, {1316, 8723}, {1649, 57618}, {2070, 39537}, {2072, 39503}, {2394, 15111}, {2395, 2549}, {2453, 56957}, {2482, 31174}, {2528, 24974}, {2697, 53931}, {2698, 53868}, {2970, 55383}, {3023, 33965}, {3027, 33964}, {3154, 15359}, {5186, 14052}, {5254, 8574}, {5309, 6041}, {5461, 44560}, {5466, 9159}, {5664, 15475}, {5996, 10989}, {6036, 31379}, {6070, 15357}, {6130, 39477}, {6132, 39509}, {6321, 20957}, {6722, 40485}, {7464, 30735}, {7471, 53735}, {7753, 10567}, {7771, 52632}, {8651, 47173}, {9137, 9147}, {9171, 50149}, {9179, 53736}, {9180, 55957}, {9828, 16092}, {10097, 44526}, {10412, 62173}, {10421, 20774}, {10722, 14989}, {10723, 44967}, {11007, 45692}, {11123, 42733}, {11182, 36194}, {11799, 46953}, {12028, 15470}, {12042, 38610}, {12052, 58518}, {12188, 38581}, {13188, 38580}, {14223, 18316}, {14270, 41079}, {14480, 15342}, {14809, 56373}, {14849, 14851}, {14850, 14993}, {14907, 53347}, {14934, 53725}, {15421, 18531}, {15535, 16340}, {15561, 57305}, {15915, 52728}, {15928, 58263}, {16315, 47475}, {16316, 47501}, {16319, 42654}, {16535, 45681}, {18312, 46609}, {18319, 51872}, {18333, 34175}, {21166, 38700}, {23235, 38677}, {23323, 44918}, {24472, 59825}, {31274, 31277}, {32112, 34150}, {33813, 38609}, {34094, 45693}, {34290, 36163}, {34473, 38701}, {34964, 37938}, {36164, 53709}, {36177, 40550}, {37019, 47270}, {37991, 43665}, {38224, 57306}, {38664, 38678}, {39834, 58310}, {42660, 47620}, {44227, 47214}, {45690, 50147}, {46632, 53710}, {46634, 47079}, {47001, 47159}, {47175, 47504}, {47219, 50707}, {47248, 47505}, {47258, 47324}, {59815, 59823}

X(62489) = isogonal conjugate of X(9160)
X(62489) = isotomic conjugate of X(53192)
X(62489) = Thomson-isogonal conjugate of X(9161)
X(62489) = crossdifference of every pair of points on line {6, 15329}
X(62489) = barycentric quotient X(41004)/X(56671)
X(62489) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {99, 476, 53738}, {16229, 47221, 403}, {53266, 53275, 3}

X(62490) = {X(98),X(477)}-INFINITY BISECTOR

X(62490) lies on these lines: {2, 9158}, {3, 2453}, {4, 16237}, {5, 38393}, {20, 15112}, {23, 94}, {30, 511}, {99, 477}, {110, 36188}, {114, 858}, {115, 3003}, {125, 47348}, {147, 5189}, {148, 34193}, {182, 1316}, {186, 30716}, {187, 46633}, {250, 41204}, {323, 14480}, {373, 46868}, {376, 15111}, {381, 46127}, {389, 36160}, {401, 40866}, {403, 23514}, {450, 1304}, {468, 6036}, {576, 2452}, {620, 15122}, {691, 11676}, {805, 53868}, {842, 5999}, {935, 53931}, {1350, 47284}, {1352, 36163}, {1495, 7471}, {1513, 16188}, {1531, 46045}, {1533, 16278}, {1553, 32111}, {1561, 32271}, {2023, 16308}, {2030, 48721}, {2070, 30715}, {2071, 21166}, {2072, 36519}, {2697, 53692}, {2698, 53869}, {3001, 6033}, {3023, 7286}, {3027, 5160}, {3098, 47285}, {3109, 48894}, {3292, 14611}, {3580, 6070}, {3819, 47509}, {4226, 52772}, {5092, 36177}, {5099, 15980}, {5159, 6721}, {5201, 12188}, {5461, 47334}, {5462, 10223}, {5467, 34810}, {5476, 50149}, {5520, 15974}, {5613, 36186}, {5617, 36185}, {5943, 34093}, {5972, 16319}, {5984, 20063}, {6054, 10989}, {6055, 7426}, {6108, 11549}, {6109, 11537}, {6248, 36165}, {6321, 18325}, {6770, 44462}, {6771, 32460}, {6773, 44466}, {6774, 32461}, {6776, 36181}, {7480, 46106}, {7575, 12042}, {7684, 58912}, {7685, 58913}, {9179, 53726}, {9306, 36192}, {9729, 14894}, {9828, 36166}, {9840, 47270}, {9861, 37972}, {10168, 34094}, {10295, 38749}, {10296, 10722}, {10564, 14934}, {10723, 14989}, {11005, 17511}, {11007, 24206}, {11063, 59251}, {11064, 47148}, {11177, 37901}, {11178, 36194}, {11179, 46124}, {11257, 36182}, {11563, 38229}, {11623, 16619}, {11646, 47275}, {11657, 32223}, {11710, 51693}, {12052, 58517}, {12091, 18323}, {12112, 15342}, {13188, 35001}, {13334, 36157}, {13335, 36156}, {13349, 16182}, {13350, 16181}, {13586, 38702}, {13860, 59227}, {14120, 46993}, {14221, 45772}, {14356, 57603}, {14849, 14993}, {14850, 14851}, {14981, 62332}, {15329, 58261}, {15535, 34209}, {15561, 57306}, {15646, 45847}, {15915, 22712}, {15919, 36207}, {15971, 38514}, {16303, 47581}, {16312, 47468}, {16313, 47568}, {16315, 47584}, {16316, 47570}, {16320, 16760}, {16331, 47567}, {16334, 47569}, {16978, 41665}, {17986, 45278}, {18279, 34104}, {18332, 36193}, {18572, 22505}, {18860, 46634}, {20299, 51451}, {21243, 36190}, {22463, 51456}, {22510, 36211}, {22511, 36210}, {22515, 44267}, {23235, 38678}, {24472, 59823}, {25338, 61560}, {25559, 37975}, {25560, 37974}, {32110, 46632}, {32237, 47351}, {32269, 47146}, {33813, 37950}, {33971, 36176}, {34127, 44282}, {35021, 37897}, {35265, 60605}, {36158, 48919}, {36164, 53710}, {36173, 43460}, {36179, 46850}, {36180, 46981}, {36187, 54393}, {37459, 40544}, {37527, 57589}, {37903, 38654}, {37915, 39646}, {37918, 42329}, {37922, 38634}, {37927, 38642}, {37928, 39828}, {37946, 38664}, {37967, 51523}, {37985, 44436}, {37988, 39486}, {38224, 57305}, {38383, 41658}, {38737, 44214}, {38745, 47341}, {38747, 47335}, {39120, 52403}, {39530, 57583}, {39806, 47143}, {39809, 62288}, {39825, 45171}, {41070, 41634}, {41071, 41644}, {41202, 57011}, {43976, 54094}, {44084, 47179}, {44266, 49102}, {44961, 61576}, {46155, 52056}, {46999, 51258}, {47153, 58481}, {47272, 48939}, {47273, 48883}, {47274, 48909}, {47283, 52987}, {47323, 62344}, {47365, 53162}, {47366, 53163}, {47385, 60594}, {48931, 52200}, {48947, 57616}, {48980, 61102}, {50146, 50977}, {52472, 57611}, {57588, 58445}, {58639, 58661}, {59815, 59825}

X(62490) = isogonal conjugate of X(9161)
X(62490) = Thomson-isogonal conjugate of X(9160)
X(62490) = crossdifference of every pair of points on line {6, 46616}
X(62490) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {23, 476, 47327}, {98, 476, 53728}, {858, 47324, 3258}, {1316, 6795, 182}, {2452, 60696, 576}, {2453, 59231, 3}, {11064, 47148, 55308}, {16320, 56370, 16760}, {36180, 46981, 47113}, {53267, 53274, 3}

X(62491) = {X(100),X(476)}-INFINITY BISECTOR

X(62491) lies on these lines: {3, 47270}, {4, 18115}, {11, 25641}, {23, 39572}, {30, 511}, {36, 46636}, {40, 47273}, {100, 477}, {104, 476}, {119, 3258}, {149, 34193}, {153, 14731}, {355, 36154}, {944, 36171}, {946, 52200}, {1290, 6905}, {1317, 33965}, {1385, 3109}, {1482, 47274}, {1484, 18319}, {1532, 42422}, {1985, 39485}, {2077, 46635}, {2453, 56960}, {2687, 6909}, {2689, 53932}, {2695, 53927}, {3035, 31379}, {3579, 36158}, {3654, 50145}, {5083, 59825}, {5520, 6882}, {6265, 7424}, {6713, 22104}, {6906, 38570}, {7471, 51420}, {7574, 45916}, {8143, 15888}, {8758, 11799}, {9158, 9978}, {9179, 53754}, {9956, 36155}, {10222, 13869}, {10711, 34312}, {10724, 14989}, {10728, 44967}, {10742, 20957}, {10767, 36172}, {12052, 58522}, {12331, 38581}, {12619, 36195}, {12736, 59823}, {12738, 36026}, {12773, 38580}, {13265, 37919}, {13587, 38711}, {14934, 53743}, {16173, 50148}, {23961, 47402}, {33814, 38610}, {33862, 47401}, {34474, 38701}, {34789, 51883}, {36164, 53711}, {37964, 45766}, {38588, 56423}, {38602, 38609}, {38665, 38678}, {38669, 38677}, {38693, 38700}, {38752, 57306}, {46632, 53715}, {47327, 51635}, {53722, 53728}, {53733, 53738}, {57298, 57305}

X(62492) = {X(100),X(477)}-INFINITY BISECTOR

X(62492) lies on these lines: {5, 39483}, {11, 3258}, {23, 47804}, {30, 511}, {80, 57099}, {100, 476}, {104, 477}, {119, 25641}, {149, 14731}, {153, 34193}, {186, 44426}, {403, 16228}, {851, 47833}, {858, 47802}, {859, 48391}, {1290, 53611}, {1317, 33964}, {1464, 48292}, {2070, 48383}, {2072, 59973}, {2453, 56958}, {2687, 43655}, {2689, 53927}, {2695, 53932}, {3035, 22104}, {5083, 59823}, {5189, 48164}, {6713, 31379}, {7426, 47803}, {7471, 53743}, {9158, 9980}, {9179, 53744}, {10707, 34312}, {10724, 44967}, {10728, 14989}, {10738, 20957}, {10778, 17511}, {10989, 44429}, {11698, 18319}, {12052, 58475}, {12331, 38580}, {12736, 59825}, {12773, 38581}, {13744, 47270}, {14934, 53753}, {14956, 47825}, {18859, 48390}, {23323, 44923}, {33814, 38609}, {34474, 38700}, {36164, 53715}, {37370, 47829}, {37901, 47805}, {38602, 38610}, {38665, 38677}, {38669, 38678}, {38693, 38701}, {38752, 57305}, {46521, 47827}, {46611, 52356}, {46632, 53711}, {46635, 47081}, {47098, 47500}, {47199, 47327}, {53720, 53728}, {53729, 53738}, {57298, 57306}

X(62491) = barycentric quotient X(i)/X(j) for these {i,j}: {9597, 14079}, {58140, 41016}

X(62493) = {X(101),X(476)}-INFINITY BISECTOR

X(62493) lies on these lines: {10, 36158}, {20, 47270}, {30, 511}, {101, 477}, {103, 476}, {116, 25641}, {118, 3258}, {150, 18661}, {152, 14731}, {382, 18119}, {962, 47274}, {1290, 36002}, {1362, 33965}, {1544, 46045}, {2453, 49130}, {2688, 53880}, {2690, 36028}, {2692, 53933}, {3007, 10296}, {3012, 11809}, {3022, 33964}, {3109, 4297}, {3146, 38514}, {4301, 13869}, {5520, 37374}, {5691, 36154}, {6710, 31379}, {6712, 22104}, {6905, 38711}, {7471, 18653}, {8756, 10295}, {10710, 34312}, {10725, 14989}, {10727, 44967}, {10741, 20957}, {11028, 59823}, {12052, 58521}, {14934, 53747}, {19925, 36155}, {22793, 52200}, {23854, 37924}, {30808, 39488}, {36164, 53712}, {36167, 44425}, {38572, 38581}, {38574, 38580}, {38599, 38610}, {38601, 38609}, {38666, 38678}, {38668, 38677}, {38690, 38701}, {38692, 38700}, {38764, 57306}, {46632, 53714}, {53732, 53738}, {57297, 57305}, {59813, 59825}

X(62493) = barycentric quotient X(40144)/X(7549)

X(62494) = {X(101),X(477)}-INFINITY BISECTOR

X(62494) lies on these lines: {23, 47771}, {30, 511}, {101, 476}, {103, 477}, {116, 3258}, {118, 25641}, {150, 14731}, {152, 34193}, {186, 48386}, {693, 38019}, {857, 47782}, {858, 47757}, {1362, 33964}, {1375, 47788}, {1725, 4041}, {1834, 21203}, {2070, 48387}, {2071, 39476}, {2690, 53880}, {2758, 53933}, {3022, 33965}, {3091, 39489}, {4794, 5160}, {5189, 48156}, {6710, 22104}, {6712, 31379}, {7426, 47766}, {7471, 53747}, {10149, 48294}, {10151, 39532}, {10708, 34312}, {10725, 44967}, {10727, 14989}, {10739, 20957}, {10989, 44435}, {11028, 59825}, {11809, 47123}, {12052, 58519}, {14838, 47176}, {14934, 53751}, {14953, 47792}, {18859, 44408}, {23775, 36154}, {36164, 53714}, {37009, 47270}, {37901, 47773}, {38572, 38580}, {38574, 38581}, {38599, 38609}, {38601, 38610}, {38666, 38677}, {38668, 38678}, {38690, 38700}, {38692, 38701}, {38764, 57305}, {44432, 47097}, {46632, 53712}, {53721, 53728}, {53730, 53738}, {57297, 57306}, {59813, 59823}

X(62495) = {X(102),X(476)}-INFINITY BISECTOR

X(62495) lies on these lines: {23, 47798}, {30, 511}, {102, 477}, {109, 476}, {117, 25641}, {124, 3258}, {151, 34193}, {186, 39226}, {403, 54239}, {858, 47806}, {1290, 53927}, {1361, 33964}, {1364, 33965}, {2070, 39199}, {2687, 53932}, {2689, 53612}, {2695, 53870}, {4086, 14206}, {4458, 47224}, {4973, 21187}, {5189, 48169}, {6711, 31379}, {6718, 22104}, {7426, 47800}, {7471, 53758}, {9179, 53759}, {10716, 34312}, {10726, 14989}, {10732, 44967}, {10747, 20957}, {10989, 47808}, {12016, 59825}, {12052, 58526}, {14731, 33650}, {14934, 53749}, {18593, 47176}, {36164, 53713}, {37043, 47270}, {37901, 48239}, {38573, 38581}, {38579, 38580}, {38600, 38610}, {38607, 38609}, {38667, 38678}, {38674, 38677}, {38691, 38701}, {38697, 38700}, {38776, 57306}, {43940, 44426}, {46632, 53717}, {53724, 53728}, {53734, 53738}, {57303, 57305}, {59816, 59823}

X(62496) = {X(102),X(477)}-INFINITY BISECTOR

X(62496) lies on these lines: {3, 45934}, {4, 47270}, {20, 38514}, {30, 511}, {36, 29008}, {40, 36154}, {102, 476}, {109, 477}, {117, 3258}, {124, 25641}, {151, 14731}, {411, 38570}, {944, 47274}, {946, 3109}, {962, 36171}, {1290, 6909}, {1361, 33965}, {1364, 33964}, {1385, 52200}, {1532, 5520}, {1558, 46045}, {2077, 36167}, {2453, 56959}, {2687, 6905}, {2689, 53870}, {2690, 36027}, {2695, 37420}, {5535, 10771}, {5691, 47273}, {5882, 13869}, {6684, 36155}, {6711, 22104}, {6718, 31379}, {6882, 42422}, {7464, 45917}, {7471, 51382}, {10295, 11809}, {10709, 34312}, {10726, 44967}, {10732, 14989}, {10740, 20957}, {11700, 15326}, {12016, 59823}, {12052, 58520}, {14934, 53758}, {31673, 47272}, {31730, 36158}, {33650, 34193}, {36164, 53717}, {38573, 38580}, {38579, 38581}, {38600, 38609}, {38607, 38610}, {38667, 38677}, {38674, 38678}, {38691, 38700}, {38697, 38701}, {38776, 57305}, {46632, 53713}, {53731, 53738}, {57303, 57306}, {59816, 59825}

X(62497) = {X(105),X(476)}-INFINITY BISECTOR

X(62497) lies on these lines: {30, 511}, {105, 477}, {120, 25641}, {476, 1292}, {1358, 33965}, {3021, 33964}, {3258, 5511}, {6714, 31379}, {10729, 14989}, {14731, 34547}, {14934, 53756}, {15521, 20957}, {20344, 34193}, {37989, 39536}, {38575, 38581}, {38580, 38589}, {38603, 38610}, {38609, 38619}, {38670, 38678}, {38677, 38684}, {38694, 38701}, {38700, 38712}, {39227, 51635}, {44967, 44983}, {57299, 57306}, {57305, 57327}, {59814, 59823}

X(62498) = {X(105),X(477)}-INFINITY BISECTOR

X(62498) lies on these lines: {30, 511}, {105, 476}, {120, 3258}, {377, 38514}, {405, 2453}, {477, 1292}, {1290, 36003}, {1316, 51743}, {1358, 33964}, {3021, 33965}, {3109, 51715}, {5302, 47272}, {5511, 25641}, {5520, 52254}, {6714, 22104}, {7471, 53756}, {8609, 11809}, {10712, 34312}, {10729, 44967}, {10743, 20957}, {14731, 20344}, {14989, 44983}, {34193, 34547}, {37426, 59231}, {38575, 38580}, {38581, 38589}, {38603, 38609}, {38610, 38619}, {38670, 38677}, {38678, 38684}, {38694, 38700}, {38701, 38712}, {41229, 47273}, {44229, 45954}, {57299, 57305}, {57306, 57327}, {59814, 59825}

X(62499) = {X(106),X(476)}-INFINITY BISECTOR

X(62499) lies on these lines: {2, 39490}, {23, 39225}, {30, 511}, {106, 477}, {121, 25641}, {468, 16231}, {476, 1293}, {858, 39508}, {1357, 33965}, {2688, 53933}, {3258, 5510}, {4049, 36158}, {4057, 37924}, {6018, 33964}, {6715, 31379}, {7649, 10295}, {10296, 20294}, {10297, 20315}, {10730, 14989}, {14731, 34548}, {15522, 20957}, {21290, 34193}, {38576, 38581}, {38580, 38590}, {38604, 38610}, {38609, 38620}, {38671, 38678}, {38677, 38685}, {38695, 38701}, {38700, 38713}, {44967, 44984}, {47313, 47801}, {47314, 48545}, {57300, 57306}, {57305, 57328}, {59812, 59823}

X(62499) = barycentric product X(18129)*X(22252)

X(62500) = {X(106),X(477)}-INFINITY BISECTOR

X(62500) lies on these lines: {2, 38514}, {10, 47272}, {30, 511}, {106, 476}, {121, 3258}, {381, 18120}, {477, 1293}, {551, 3109}, {1290, 13587}, {1316, 48867}, {1357, 33964}, {2453, 11354}, {2690, 53933}, {3006, 10989}, {3011, 7426}, {3241, 36171}, {3679, 36154}, {3828, 36155}, {4973, 50755}, {5298, 39751}, {5510, 25641}, {5520, 17533}, {6018, 33965}, {6715, 22104}, {6740, 50921}, {7473, 52954}, {10713, 34312}, {10730, 44967}, {10744, 20957}, {12052, 58523}, {13869, 51071}, {14731, 21290}, {14989, 44984}, {16272, 47495}, {16304, 47488}, {16309, 47496}, {16322, 47493}, {17549, 38570}, {20045, 37901}, {30117, 61432}, {34193, 34548}, {36158, 50808}, {36163, 48834}, {38576, 38580}, {38581, 38590}, {38604, 38609}, {38610, 38620}, {38671, 38677}, {38678, 38685}, {38695, 38700}, {38701, 38713}, {47097, 50752}, {47146, 47563}, {47284, 48862}, {47285, 48863}, {51709, 52200}, {57300, 57305}, {57306, 57328}, {59812, 59825}

X(62500) = barycentric quotient X(52279)/X(14487)
X(62500) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3679, 47273, 50145}, {36154, 50145, 3679}

X(62501) = {X(107),X(476)}-INFINITY BISECTOR

X(62501) lies on these lines: {3, 53319}, {4, 15111}, {23, 38672}, {30, 511}, {107, 186}, {122, 2072}, {133, 403}, {389, 36179}, {476, 1294}, {1559, 18809}, {1597, 2453}, {1650, 18279}, {2070, 14703}, {3134, 52546}, {3146, 15112}, {3153, 34186}, {3184, 12091}, {3324, 33965}, {3357, 36162}, {4240, 7740}, {5667, 13619}, {5899, 14673}, {6716, 31379}, {7158, 10149}, {7464, 38677}, {7471, 51394}, {7575, 51532}, {9159, 10304}, {10110, 14894}, {10152, 10421}, {10257, 22104}, {10295, 52057}, {10745, 18403}, {11202, 37926}, {11251, 59370}, {11430, 36178}, {11657, 24930}, {11718, 51701}, {11749, 43893}, {12052, 58530}, {13598, 36160}, {13851, 34150}, {14731, 34549}, {14934, 51393}, {15329, 23097}, {15646, 38605}, {17511, 50435}, {18319, 37938}, {18859, 38580}, {18870, 23325}, {20957, 22337}, {21663, 36164}, {22115, 36193}, {23239, 37941}, {31378, 59648}, {34152, 38609}, {36192, 37480}, {37948, 38700}, {44234, 61569}, {44911, 58431}, {44967, 44985}, {46031, 61592}, {46585, 58261}, {47096, 47324}, {47146, 55319}, {47207, 50401}, {47347, 51403}, {51425, 55308}, {57301, 57306}, {57305, 57329}, {57471, 57472}, {58511, 58551}, {59823, 59824}

X(62502) = {X(107),X(477)}-INFINITY BISECTOR

X(62502) lies on these lines: {3, 53320}, {30, 511}, {107, 476}, {122, 3258}, {133, 25641}, {382, 14380}, {477, 1294}, {550, 57128}, {647, 52945}, {852, 47004}, {2453, 56961}, {2485, 47322}, {3324, 33964}, {5667, 57120}, {6716, 22104}, {7158, 33965}, {7471, 53757}, {9158, 47263}, {10152, 44967}, {10714, 34312}, {10745, 20957}, {12052, 58524}, {14220, 20127}, {14731, 34186}, {14809, 18039}, {14989, 44985}, {15112, 18808}, {16303, 62176}, {18403, 40494}, {23239, 38700}, {31379, 34842}, {34193, 34549}, {35241, 53235}, {38577, 38580}, {38581, 38591}, {38605, 38609}, {38610, 38621}, {38672, 38677}, {38678, 38686}, {38701, 38714}, {46632, 53716}, {47221, 47324}, {53723, 53728}, {57135, 62345}, {57301, 57305}, {57306, 57329}, {59824, 59825}

X(62502) = {X(3),X(53320)}-harmonic conjugate of X(58263)

X(62503) = {X(108),X(112)}-INFINITY BISECTOR

X(6249) lies on these lines: {3, 53323}, {30, 511}, {92, 12384}, {108, 1214}, {112, 1295}, {123, 132}, {127, 25640}, {1359, 6020}, {2941, 13221}, {3318, 3320}, {6717, 34841}, {10702, 13099}, {10731, 44988}, {10735, 44986}, {10746, 12918}, {10749, 33566}, {11719, 12265}, {12784, 50917}, {13115, 38578}, {13219, 34550}, {13310, 38592}, {38506, 38519}, {38510, 38517}, {38564, 38571}, {38606, 38624}, {38608, 38622}, {38673, 38689}, {38676, 38687}, {38696, 38717}, {38699, 38715}, {49154, 49207}, {57302, 57332}, {57304, 57330}, {58049, 58063}, {58050, 58064}, {58425, 58430}, {58525, 58529}, {61584, 61591}

X(62504) = {X(108),X(476)}-INFINITY BISECTOR

X(62504) lies on these lines: {30, 511}, {108, 477}, {123, 25641}, {476, 1295}, {1012, 47270}, {1359, 33965}, {1709, 47273}, {3258, 25640}, {3318, 33964}, {6717, 31379}, {6925, 38514}, {10731, 14989}, {14731, 34550}, {20957, 33566}, {22104, 44906}, {34188, 34193}, {38578, 38581}, {38580, 38592}, {38606, 38610}, {38609, 38622}, {38673, 38678}, {38677, 38687}, {38696, 38701}, {38700, 38715}, {44967, 44986}, {54064, 54095}, {57302, 57306}, {57305, 57330}, {59820, 59823}

barycentric product X(i)*X(j) for these {i,j}: {3201, 53556}, {11607, 22833}

X(62505) = {X(108),X(477)}-INFINITY BISECTOR

X(62505) lies on these lines: {30, 511}, {108, 476}, {123, 3258}, {477, 1295}, {1359, 33964}, {3318, 33965}, {6129, 11809}, {6717, 22104}, {10715, 34312}, {10731, 44967}, {10746, 20957}, {12052, 58525}, {14731, 34188}, {14989, 44986}, {23224, 37976}, {25640, 25641}, {34193, 34550}, {38578, 38580}, {38581, 38592}, {38606, 38609}, {38610, 38622}, {38673, 38677}, {38678, 38687}, {38696, 38700}, {38701, 38715}, {44238, 57095}, {57302, 57305}, {57306, 57330}, {59820, 59825}

X(62506) = {X(111),X(112)}-INFINITY BISECTOR

X(62506) lies on these lines: {3, 2492}, {4, 35522}, {5, 44813}, {30, 511}, {111, 1297}, {112, 1296}, {126, 132}, {127, 5512}, {1350, 3569}, {3048, 58064}, {3320, 6019}, {3325, 6020}, {5085, 14398}, {5480, 24284}, {6132, 46609}, {6719, 34841}, {6720, 40556}, {8430, 18860}, {8552, 33752}, {9126, 11622}, {9156, 9157}, {9178, 61776}, {9869, 58047}, {10704, 13099}, {10734, 44988}, {10735, 44987}, {10748, 12918}, {10749, 22338}, {11258, 13115}, {11568, 13238}, {11569, 13249}, {11615, 11616}, {11721, 12265}, {12253, 14654}, {12384, 14360}, {12624, 13994}, {12784, 50924}, {13310, 38593}, {14650, 38624}, {14688, 28343}, {14689, 38805}, {15566, 40080}, {18310, 44203}, {19901, 51240}, {23350, 35911}, {38509, 38519}, {38510, 38518}, {38524, 38529}, {38608, 38623}, {38675, 38689}, {38676, 38688}, {38698, 38717}, {38699, 38716}, {38796, 57332}, {38800, 48681}, {39232, 53097}, {40340, 61591}, {41184, 41187}, {41186, 41188}, {45336, 54169}, {51212, 53331}, {52584, 59843}, {57304, 57331}, {58049, 58059}, {58427, 58430}, {58527, 58529}

X(62506) = Thomson-isogonal conjugate of X(53186)
X(62506) = crossdifference of every pair of points on line {6, 35282}
X(62506) = barycentric product X(22882)*X(47012)
X(62506) = barycentric quotient X(22889)/X(6283)
X(62506) = {X(3),X(2492)}-harmonic conjugate of X(44820)

X(62507) = {X(111),X(476)}-INFINITY BISECTOR

X(62507) lies on these lines: {2, 39492}, {3, 8371}, {4, 9168}, {20, 16220}, {23, 5926}, {30, 511}, {111, 477}, {126, 25641}, {376, 5466}, {381, 1649}, {382, 8151}, {399, 30219}, {468, 39533}, {476, 1296}, {550, 10279}, {669, 37924}, {858, 39511}, {1513, 47323}, {1551, 10717}, {2453, 57594}, {2501, 10295}, {3258, 5512}, {3325, 33965}, {3534, 8029}, {3543, 44010}, {3830, 11123}, {3845, 10190}, {6019, 33964}, {6055, 18007}, {6563, 10296}, {6719, 31379}, {7426, 19901}, {8703, 10278}, {9123, 19912}, {9126, 9189}, {9129, 14934}, {9156, 9158}, {10189, 12100}, {10734, 14989}, {11258, 38581}, {11568, 53938}, {12121, 13291}, {14360, 30474}, {14650, 38610}, {14731, 36174}, {19918, 47335}, {20957, 22338}, {21732, 59231}, {22104, 40556}, {25338, 44451}, {31861, 46609}, {33532, 44823}, {34312, 36196}, {34752, 62039}, {36164, 53718}, {36180, 47327}, {37934, 41357}, {37984, 47217}, {38580, 38593}, {38609, 38623}, {38675, 38678}, {38677, 38688}, {38698, 38701}, {38700, 38716}, {38796, 57306}, {44822, 49671}, {44967, 44987}, {45681, 53275}, {46981, 53728}, {46987, 53736}, {46991, 47216}, {47190, 47332}, {57305, 57331}, {59819, 59823}

X(62507) = Thomson-isogonal conjugate of X(9184)
X(62507) = barycentric quotient X(36500)/X(10128)

X(62508) = {X(111),X(477)}-INFINITY BISECTOR

X(62508) lies on these lines: {2, 2453}, {3, 53328}, {4, 14214}, {23, 7669}, {30, 511}, {111, 230}, {126, 3258}, {141, 36194}, {186, 62237}, {325, 1272}, {376, 40879}, {381, 18122}, {385, 20099}, {468, 8754}, {477, 1296}, {549, 44386}, {597, 1316}, {599, 36163}, {691, 8598}, {858, 10717}, {1641, 33928}, {1976, 6094}, {1990, 7473}, {1992, 36181}, {2452, 8584}, {3325, 33964}, {3534, 36207}, {3589, 34094}, {3830, 30233}, {4226, 9214}, {5099, 37350}, {5189, 7840}, {5480, 16279}, {5512, 25641}, {5642, 47148}, {6019, 33965}, {6054, 48539}, {6719, 22104}, {6795, 51737}, {7471, 9129}, {7472, 44397}, {7575, 34010}, {7799, 33799}, {8262, 47165}, {8370, 38526}, {8591, 57616}, {8859, 37909}, {9123, 58856}, {9142, 11632}, {9832, 11168}, {10256, 57306}, {10734, 44967}, {10748, 20957}, {11007, 20582}, {11162, 32113}, {11258, 38580}, {11568, 32229}, {11721, 47495}, {12052, 58527}, {13619, 38294}, {13745, 47270}, {14650, 18579}, {14662, 44266}, {14666, 44265}, {14989, 44987}, {14993, 15362}, {14995, 24975}, {15112, 38323}, {15303, 51431}, {15560, 44214}, {15993, 47275}, {16303, 28662}, {16312, 44395}, {16315, 37904}, {16326, 47541}, {16334, 47556}, {16619, 51535}, {18487, 23967}, {20063, 44367}, {22165, 47283}, {23991, 39563}, {26613, 57539}, {27088, 47326}, {30716, 37765}, {31379, 40556}, {32225, 47146}, {32456, 40553}, {32459, 53736}, {34990, 47213}, {36177, 50983}, {36188, 40112}, {36196, 44398}, {37785, 44466}, {37786, 44462}, {37897, 47238}, {37907, 47243}, {38514, 50171}, {38581, 38593}, {38610, 38623}, {38675, 38677}, {38678, 38688}, {38698, 38700}, {38701, 38716}, {38796, 57305}, {39022, 53163}, {39023, 53162}, {41139, 47246}, {44569, 47348}, {46127, 57618}, {46632, 53718}, {46981, 47333}, {46982, 47310}, {46994, 47031}, {47154, 47311}, {47155, 47312}, {47241, 47316}, {47272, 49728}, {47273, 49723}, {47290, 51224}, {47349, 52232}, {49724, 50145}, {50772, 50924}, {53726, 53728}, {59819, 59825}

X(62508) = isogonal conjugate of X(9184)
X(62508) = crossdifference of every pair of points on line {6, 44814}
X(62508) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {111, 476, 9179}, {468, 46980, 44401}, {476, 9158, 7426}, {858, 53136, 22110}, {1316, 50149, 597}, {4226, 9214, 45331}, {7426, 16092, 230}, {11537, 11549, 230}, {14995, 45662, 24975}, {14995, 53274, 45662}, {16315, 37904, 46998}, {16316, 47097, 46986}, {22110, 47245, 53136}, {34094, 50147, 3589}, {36194, 47285, 50146}, {36194, 50146, 141}, {46980, 46992, 468}, {46986, 47097, 44377}

X(62509) = {X(112),X(476)}-INFINITY BISECTOR

X(62509) lies on these lines: {3, 18121}, {4, 2453}, {20, 2407}, {23, 12384}, {30, 511}, {50, 112}, {98, 47242}, {107, 47152}, {125, 47146}, {127, 10297}, {132, 468}, {186, 3447}, {230, 36166}, {250, 44704}, {325, 36173}, {376, 45331}, {476, 858}, {597, 16279}, {691, 53931}, {842, 1513}, {935, 53871}, {1316, 5480}, {1350, 36163}, {1495, 47148}, {1514, 46045}, {1529, 42426}, {1551, 22110}, {1650, 53319}, {2072, 57305}, {2452, 8550}, {3154, 11657}, {3320, 33965}, {3580, 17511}, {3589, 36177}, {5159, 22104}, {5894, 36162}, {6020, 33964}, {6720, 31379}, {6795, 44882}, {7422, 52472}, {7426, 34312}, {7464, 12253}, {7471, 11064}, {7574, 13115}, {7575, 34217}, {7576, 15111}, {7745, 38525}, {9157, 9158}, {9753, 37930}, {10011, 16760}, {10110, 14896}, {10192, 37926}, {10296, 13219}, {10735, 14989}, {10749, 18323}, {11641, 37924}, {11745, 14894}, {11749, 14676}, {11799, 12918}, {12052, 58529}, {12413, 37928}, {12784, 47321}, {13200, 56369}, {13310, 38581}, {13442, 47270}, {13568, 36179}, {13619, 41204}, {14480, 46818}, {14560, 37477}, {14649, 44265}, {14687, 18122}, {14689, 47308}, {14900, 47172}, {14934, 53760}, {15122, 38609}, {15448, 16319}, {15562, 37967}, {15577, 37921}, {15980, 38953}, {16188, 56370}, {16224, 16227}, {16303, 28343}, {16308, 38652}, {16312, 47474}, {18319, 18572}, {18325, 48658}, {18571, 61573}, {18870, 23332}, {19160, 47336}, {19164, 37900}, {22463, 38608}, {23292, 36178}, {31510, 47166}, {32217, 32738}, {32269, 47348}, {32274, 47165}, {32459, 46987}, {33851, 51389}, {34369, 53505}, {35278, 51228}, {35297, 38704}, {36164, 53719}, {36170, 44377}, {36176, 37813}, {36181, 51212}, {36194, 54169}, {36990, 47284}, {37182, 59227}, {37459, 38613}, {37911, 58430}, {37931, 47158}, {38227, 47243}, {38514, 48890}, {38676, 38678}, {38677, 38689}, {38699, 38701}, {38700, 38717}, {40121, 47342}, {44214, 57304}, {44967, 44988}, {46631, 54075}, {46869, 61680}, {47354, 50146}, {48981, 53419}, {50147, 50983}, {50149, 51737}, {59821, 59823}

X(62509) = isogonal conjugate of X(53188)
X(62509) = Thomson-isogonal conjugate of X(53187)
X(62509) = barycentric product X(i)*X(j) for these {i,j}: {5653, 37113}, {14257, 42681}
X(62509) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {23, 14731, 47324}, {842, 1513, 16320}, {1529, 47177, 42426}, {3154, 11657, 47296}, {3258, 47327, 468}, {16319, 47351, 15448}, {36170, 47570, 44377}, {46045, 47347, 1514}

X(62510) = {X(112),X(477)}-INFINITY BISECTOR

X(62510) lies on these lines: {2, 18556}, {3, 45681}, {4, 39491}, {30, 511}, {112, 476}, {127, 3258}, {132, 25641}, {186, 39228}, {297, 47324}, {376, 5664}, {381, 14566}, {382, 5489}, {403, 39510}, {441, 47004}, {477, 1297}, {647, 58351}, {669, 11641}, {691, 53692}, {842, 53931}, {1316, 45327}, {2070, 39201}, {2394, 3543}, {2453, 40856}, {2697, 53871}, {2966, 47290}, {3320, 33964}, {3830, 42733}, {5926, 19165}, {6020, 33965}, {6130, 44204}, {6563, 13219}, {6720, 14341}, {7426, 9209}, {7471, 53760}, {7737, 62384}, {9158, 13114}, {9179, 50381}, {9409, 24978}, {10297, 54260}, {10718, 34312}, {10735, 44967}, {10749, 20957}, {10989, 30474}, {11563, 59745}, {11799, 47194}, {12052, 58528}, {12384, 34193}, {13115, 38581}, {13310, 38580}, {14401, 46869}, {14689, 46997}, {14830, 42738}, {14989, 44988}, {16230, 44202}, {18310, 44649}, {18317, 35911}, {18859, 22089}, {18870, 38240}, {23582, 30716}, {31379, 34841}, {34360, 47284}, {36181, 53374}, {37045, 47270}, {38401, 58263}, {38608, 38609}, {38610, 38624}, {38676, 38677}, {38678, 38689}, {38699, 38700}, {38701, 38717}, {41079, 47323}, {44216, 47219}, {46632, 53719}, {46637, 47085}, {46981, 61446}, {47225, 52584}, {47293, 48954}, {47327, 52144}, {48985, 60508}, {53727, 53728}, {53737, 53738}, {57304, 57305}, {57306, 57332}, {59231, 62307}, {59821, 59825}

X(62510) = isogonal conjugate of X(53187)
X(62510) = Thomson-isogonal conjugate of X(53188)
X(62510) = crossdifference of every pair of points on line {6, 16186}

  Centers related to PU(202)-PU(212): X(62511) - X(62529)  

X(62511) = CROSSSUM OF PU(202)

X(62511) lies on these lines: {6, 110}, {1205, 38653}, {2931, 19189}, {3448, 56290}, {12383, 41204}, {15920, 32251}, {17702, 33971}, {21649, 46866}

X(62512) = BARYCENTRIC PRODUCT OF PU(202)

X(62512) lies on these lines: {25, 115}, {111, 6037}, {112, 436}, {4240, 60517}, {6103, 37070}, {47230, 62519}

X(62512) = X(62513)-reciprocal conjugate of-X(75)
X(62512) = barycentric product X(1)*X(62513)
X(62512) = trilinear product X(6)*X(62513)

X(62513) = TRILINEAR PRODUCT OF PU(202)

X(62513) lies on these lines: {19, 1109}, {162, 9252}

X(62513) = X(62512)-reciprocal conjugate of-X(1)
X(62513) = barycentric product X(75)*X(62512)
X(62513) = trilinear product X(2)*X(62512)

X(62514) = CEVAPOINT OF PU(207)

X(62514) lies on these lines: {4, 62515}, {524, 10295}, {648, 51541}, {40826, 59762}, {48539, 56369}

X(62514) = polar conjugate of X(50187)
X(62514) = isogonal conjugate of X(62516)
X(62514) = X(1249)-Dao conjugate of-X(50187)
X(62514) = X(48)-isoconjugate of-X(50187)
X(62514) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (4, 50187), (8791, 46338), (62517, 62515)
X(62514) = trilinear pole of the line {690, 5094} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62514) = pole of the the tripolar of X(50187) with respect to the polar circle
X(62514) = trilinear quotient X(92)/X(50187)

X(62515) = CROSSPOINT OF PU(207)

X(62515) lies on these lines: {4, 62514}, {2393, 32250}

X(62515) = X(62517)-reciprocal conjugate of-X(62514)

X(62516) = CROSSSUM OF PU(207)

X(62516) lies on these lines: {2, 32233}, {3, 15738}, {5, 5642}, {6, 110}, {23, 2781}, {24, 14094}, {25, 9970}, {67, 7493}, {125, 13394}, {154, 16010}, {343, 32275}, {468, 542}, {511, 40291}, {575, 12099}, {647, 9517}, {1352, 32227}, {1495, 5663}, {1498, 15054}, {1511, 5651}, {1658, 51522}, {2777, 47340}, {2782, 3233}, {3292, 14984}, {3448, 35260}, {3575, 38791}, {4232, 11061}, {5609, 6102}, {5972, 35283}, {6146, 36253}, {6639, 15027}, {6676, 61543}, {6698, 7495}, {7426, 8262}, {7503, 15020}, {7530, 15132}, {7542, 20397}, {8542, 41612}, {8780, 32254}, {9306, 12584}, {10113, 61743}, {10297, 11064}, {10301, 32271}, {10510, 37980}, {11284, 15462}, {11579, 26864}, {12041, 35268}, {12824, 14002}, {13857, 18572}, {15021, 38444}, {15063, 37458}, {15066, 33851}, {15131, 31099}, {15303, 20192}, {16003, 34351}, {16510, 19136}, {20190, 45311}, {26255, 34319}, {32269, 47558}, {37760, 52191}, {41424, 51941}, {44210, 49116}, {44321, 55679}, {53725, 58416}

X(62516) = midpoint of X(1495) and X(32235)
X(62516) = isogonal conjugate of X(62514)
X(62516) = crossdifference of every pair of points on the line X(690)X(5094)
X(62516) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (46338, 46105), (50187, 264)
X(62516) = perspector of the circumconic through X(691) and X(43697)
X(62516) = pole of the line {351, 19153} with respect to the circumcircle
X(62516) = pole of the line {2781, 58267} with respect to the Moses circles radical circle
X(62516) = pole of the line {858, 58267} with respect to the Kiepert circumhyperbola
X(62516) = pole of the line {524, 10295} with respect to the Stammler hyperbola
X(62516) = pole of the line {3266, 62514} with respect to the Steiner-Wallace hyperbola
X(62516) = pole of the line {1511, 3292} with respect to the Thomson-Gibert-Moses hyperbola
X(62516) = barycentric product X(i)*X(j) for these {i, j}: {3, 50187}, {22151, 46338}
X(62516) = trilinear product X(48)*X(50187)
X(62516) = trilinear quotient X(50187)/X(92)
X(62516) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (110, 1995, 6593), (2930, 38851, 6593), (5609, 12106, 25711), (14002, 57271, 12824)

X(62517) = BARYCENTRIC PRODUCT OF PU(207)

X(62517) lies on these lines: {25, 115}, {232, 47334}, {403, 3018}, {1560, 43620}, {6103, 37984}, {14273, 58757}

X(62518) = IDEAL POINT OF PU(210)

X(62518) lies on these lines: {30, 511}, {115, 51513}, {39481, 39854}, {39512, 39845}, {39832, 58756}

X(62518) = crossdifference of every pair of points on the line X(6)X(62523)
X(62518) = infinite point of the tripolar of X(62519)
X(62518) = perspector of the circumconic through X(2) and X(62519)

X(62519) = TRILINEAR POLE OF LINE P(210)U(210)

X(62519) lies on these lines: {53, 523}, {324, 850}, {393, 55219}, {476, 53708}, {685, 58070}, {892, 53205}, {1987, 15328}, {2395, 17994}, {2501, 14569}, {6747, 12077}, {14593, 55253}, {18121, 51960}, {47230, 62512}, {62520, 62521}

X(62519) = polar conjugate of the isotomic conjugate of X(60036)
X(62519) = isogonal conjugate of X(62523)
X(62519) = cevapoint of X(17994) and X(55219)
X(62519) = X(i)-Dao conjugate of X(j) for these (i, j): (136, 401), (5139, 1971)
X(62519) = X(i)-isoconjugate of X(j) for these {i, j}: {401, 4575}, {1955, 4558}, {1971, 4592}
X(62519) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1956, 4592), (1972, 4563), (1987, 4558), (2489, 1971), (2501, 401), (8754, 6130), (14618, 44137), (17994, 52128), (51513, 32428), (53149, 32545), (53175, 1092), (53205, 4590), (53708, 249), (58757, 41204), (60036, 69)
X(62519) = trilinear pole of the line {115, 51513} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62519) = pole of the line {401, 1971} with respect to the polar circle
X(62519) = barycentric product X(i)*X(j) for these {i, j}: {4, 60036}, {115, 53205}, {338, 53708}, {1298, 23290}, {1956, 24006}, {1972, 2501}, {1987, 14618}, {41208, 41221}
X(62519) = trilinear product X(i)*X(j) for these {i, j}: {19, 60036}, {1109, 53708}, {1956, 2501}, {1987, 24006}, {2643, 53205}, {6521, 53175}
X(62519) = trilinear quotient X(i)/X(j) for these (i, j): (1956, 4558), (1972, 4592), (1987, 4575), (2501, 1955), (24006, 401), (51513, 2313), (53175, 4100), (53205, 24041), (53708, 1101), (60036, 63)

X(62520) = CEVAPOINT OF PU(210)

X(62520) lies on these lines: {2501, 59745}, {9290, 60338}, {20031, 61204}, {62519, 62521}

X(62520) = isogonal conjugate of X(62522)
X(62520) = X(i)-Dao conjugate of X(j) for these (i, j): (136, 56290), (5139, 1970)
X(62520) = X(i)-isoconjugate of X(j) for these {i, j}: {1954, 4558}, {1970, 4592}, {4575, 56290}
X(62520) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2489, 1970), (2501, 56290), (2970, 42331), (9251, 4592), (9290, 4563), (15422, 21449), (58757, 436), (62524, 62521)
X(62520) = pole of the line {1970, 56290} with respect to the polar circle
X(62520) = barycentric product X(i)*X(j) for these {i, j}: {1303, 2970}, {2501, 9290}, {9251, 24006}, {57855, 58757}
X(62520) = trilinear product X(2501)*X(9251)
X(62520) = trilinear quotient X(i)/X(j) for these (i, j): (2501, 1954), (9251, 4558), (9290, 4592), (24006, 56290)

X(62521) = CROSSPOINT OF PU(210)

X(62521) lies on these lines: {403, 523}, {879, 57677}, {1093, 51513}, {41365, 58756}, {62519, 62520}

X(62521) = X(42401)-Ceva conjugate of-X(393)
X(62521) = X(i)-Dao conjugate of X(j) for these (i, j): (136, 57686), (6523, 1303)
X(62521) = X(i)-isoconjugate of X(j) for these {i, j}: {255, 1303}, {4575, 57686}
X(62521) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (393, 1303), (436, 4558), (2501, 57686), (9252, 4592), (9291, 4563), (14618, 57855), (27359, 23181), (42331, 3926), (42401, 57759), (62524, 62520)
X(62521) = pole of the line {3, 57686} with respect to the polar circle
X(62521) = barycentric product X(i)*X(j) for these {i, j}: {130, 42401}, {393, 42331}, {436, 14618}, {2501, 9291}, {9252, 24006}, {21449, 23290}
X(62521) = trilinear product X(i)*X(j) for these {i, j}: {436, 24006}, {1096, 42331}, {2501, 9252}
X(62521) = trilinear quotient X(i)/X(j) for these (i, j): (158, 1303), (436, 4575), (9252, 4558), (9291, 4592), (24006, 57686), (42331, 326)

X(62522) = CROSSSUM OF PU(210)

X(62522) lies on these lines: {99, 62523}, {4558, 8552}, {14570, 18831}

X(62522) = isogonal conjugate of X(62520)
X(62522) = X(2501)-isoconjugate of-X(9251)
X(62522) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (1954, 24006), (1970, 2501), (4558, 9290), (4575, 9251), (47390, 1303), (56290, 14618)
X(62522) = pole of the line {6641, 9723} with respect to the Kiepert parabola
X(62522) = pole of the line {2501, 59745} with respect to the Stammler hyperbola
X(62522) = pole of the line {14618, 62520} with respect to the Steiner-Wallace hyperbola
X(62522) = barycentric product X(i)*X(j) for these {i, j}: {1954, 4592}, {1970, 4563}, {4558, 56290}, {42331, 47390}
X(62522) = trilinear product X(i)*X(j) for these {i, j}: {1954, 4558}, {1970, 4592}, {4575, 56290}
X(62522) = trilinear quotient X(i)/X(j) for these (i, j): (1954, 2501), (4558, 9251), (4592, 9290), (56290, 24006)

X(62523) = CROSSDIFFERENCE OF PU(210)

X(62523) lies on these lines: {97, 394}, {99, 62522}, {110, 351}, {2407, 47443}, {10411, 52613}, {17932, 53173}, {23357, 34211}, {36433, 57008}

X(62523) = isogonal conjugate of X(62519)
X(62523) = crossdifference of every pair of points on the line X(115)X(51513)
X(62523) = crosssum of X(17994) and X(55219)
X(62523) = X(i)-Dao conjugate of X(j) for these (i, j): (6, 60036), (38974, 2970), (39038, 24006), (39045, 2501), (39081, 14618), (52128, 12077)
X(62523) = X(i)-isoconjugate of X(j) for these {i, j}: {19, 60036}, {1109, 53708}, {1956, 2501}, {1987, 24006}, {2643, 53205}, {6521, 53175}
X(62523) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (3, 60036), (249, 53205), (401, 14618), (1955, 24006), (1971, 2501), (4558, 1972), (4575, 1956), (6130, 2970), (15958, 1298), (23357, 53708), (23606, 53175), (32428, 23290), (32661, 1987), (52128, 16230), (58311, 58757)
X(62523) = pole of the line {3, 57009} with respect to the Kiepert parabola
X(62523) = pole of the line {53, 523} with respect to the Stammler hyperbola
X(62523) = pole of the line {14570, 47390} with respect to the Steiner circumellipse
X(62523) = pole of the line {324, 850} with respect to the Steiner-Wallace hyperbola
X(62523) = barycentric product X(i)*X(j) for these {i, j}: {401, 4558}, {1955, 4592}, {1971, 4563}, {17932, 52128}, {32661, 44137}
X(62523) = trilinear product X(i)*X(j) for these {i, j}: {401, 4575}, {1955, 4558}, {1971, 4592}
X(62523) = trilinear quotient X(i)/X(j) for these (i, j): (63, 60036), (401, 24006), (1101, 53708), (1955, 2501), (2313, 51513), (4100, 53175), (4558, 1956), (4575, 1987), (4592, 1972), (24041, 53205)

X(62524) = BARYCENTRIC PRODUCT OF PU(210)

X(62524) lies on these lines: {1093, 15352}, {2970, 41221}, {2974, 30450}, {6524, 18384}

X(62524) = X(i)-Dao conjugate of X(j) for these (i, j): (512, 23606), (523, 3964), (2489, 10607), (3005, 1092), (15259, 47390), (18314, 4176)
X(62524) = X(i)-isoconjugate of X(j) for these {i, j}: {249, 6507}, {326, 47390}, {1092, 24041}, {1101, 3964}, {1102, 23357}, {4100, 4590}, {4176, 23995}, {23606, 24037}, {47389, 52430}
X(62524) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (115, 3964), (338, 4176), (1084, 23606), (1093, 4590), (1109, 1102), (2052, 47389), (2207, 47390), (2643, 6507), (2970, 3926), (2971, 577), (3124, 1092), (5139, 10607), (6520, 24041), (6521, 24037), (6524, 249), (6529, 59152), (8029, 52613), (8754, 394), (15352, 31614), (22260, 32320), (23105, 4143), (23216, 36433), (36434, 250), (42068, 14585), (52439, 23357), (58757, 4558), (61339, 2972)
X(62524) = barycentric product X(i)*X(j) for these {i, j}: {115, 1093}, {338, 6524}, {339, 36434}, {393, 2970}, {1109, 6520}, {2052, 8754}, {2643, 6521}, {2971, 18027}, {6529, 23105}, {8029, 15352}, {8794, 41221}, {14618, 58757}, {15422, 23290}, {23962, 52439}
X(62524) = trilinear product X(i)*X(j) for these {i, j}: {115, 6520}, {158, 8754}, {1093, 2643}, {1096, 2970}, {1109, 6524}, {2971, 57806}, {3124, 6521}, {8029, 36126}, {20902, 36434}, {23994, 52439}, {24006, 58757}
X(62524) = trilinear quotient X(i)/X(j) for these (i, j): (115, 6507), (338, 1102), (1093, 24041), (1096, 47390), (1109, 3964), (2643, 1092), (2970, 326), (2971, 52430), (3124, 4100), (6520, 249), (6521, 4590), (6524, 1101), (8754, 255), (23994, 4176), (36126, 59152), (52439, 23995), (57806, 47389), (58757, 4575), (61339, 37754)

X(62525) = TRILINEAR POLE OF LINE P(211)U(211)

X(62525) lies on these lines: {145, 3021}, {27818, 40621}, {53647, 56081}

X(62525) = reflection of X(27818) in X(40621)
X(62525) = antitomic conjugate of X(27818)
X(62525) = isogonal conjugate of X(62528)
X(62525) = cevapoint of X(6084) and X(40621)
X(62525) = X(35160)-cross conjugate of-X(673)
X(62525) = trilinear pole of the line {3667, 4859} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line

X(62526) = CROSSSUM OF PU(211)

X(62526) lies on these lines: {6, 31}, {40151, 62527}

X(62526) = crosssum of X(2487) and X(40621)

X(62527) = CROSSDIFFERENCE OF PU(211)

X(62527) lies on these lines: {6, 1201}, {672, 1477}, {39309, 53552}, {40151, 62526}

X(62527) = isogonal conjugate of X(62525)
X(62527) = crossdifference of every pair of points on the line X(3667)X(4859)
X(62527) = crosssum of X(6084) and X(40621)
X(62527) = X(8647)-Ceva conjugate of-X(672)
X(62527) = pole of the line {41629, 62525} with respect to the Stammler hyperbola

X(62528) = TRILINEAR PRODUCT OF PU(211)

X(62528) lies on these lines: {75, 16078}, {85, 5226}, {1088, 4373}, {3680, 42311}, {4052, 10029}, {8056, 27829}, {19604, 57785}, {24392, 35160}

X(62528) = isotomic conjugate of X(3158)
X(62528) = polar conjugate of the isogonal conjugate of X(27832)
X(62528) = cevapoint of X(i) and X(j) for these {i, j}: {75, 40014}, {522, 21139}, {3680, 27819}, {4373, 27818}, {19604, 27832}
X(62528) = X(i)-cross conjugate of X(j) for these (i, j): (75, 85), (4373, 40014), (24386, 2), (26563, 57792)
X(62528) = X(i)-Dao conjugate of X(j) for these (i, j): (2, 3158), (223, 3052), (1086, 4162), (1214, 4849), (1577, 4953), (3160, 1743), (3161, 4936), (4858, 44729), (6374, 44720), (6376, 3161), (9296, 30720), (10001, 57192), (17113, 1420), (24151, 55), (34021, 52352), (40593, 145), (40615, 4394), (40617, 8643), (40619, 4521), (40622, 4729), (40624, 4546)
X(62528) = X(i)-isoconjugate of X(j) for these {i, j}: {31, 3158}, {32, 3161}, {41, 1743}, {55, 3052}, {145, 2175}, {560, 44720}, {604, 4936}, {607, 20818}, {692, 4162}, {1253, 1420}, {1334, 33628}, {1397, 6555}, {1501, 44723}, {1576, 44729}, {1918, 52352}, {1919, 30720}, {1974, 44722}, {2194, 4849}, {2212, 4855}, {3063, 57192}, {3756, 6066}, {3939, 8643}, {3950, 57657}, {4521, 32739}, {4534, 23990}, {5435, 14827}, {9407, 44727}, {9447, 18743}, {14575, 44721}, {14601, 44728}
X(62528) = X(i)-reciprocal conjugate of X(j), and barycentric quotient X(i)/X(j), for these (i, j): (2, 3158), (7, 1743), (8, 4936), (57, 3052), (75, 3161), (76, 44720), (77, 20818), (85, 145), (226, 4849), (274, 52352), (279, 1420), (304, 44722), (312, 6555), (348, 4855), (349, 52353), (514, 4162), (561, 44723), (664, 57192), (668, 30720), (693, 4521), (1014, 33628), (1088, 5435), (1111, 4534), (1231, 52354), (1434, 16948), (1441, 3950), (1446, 4848), (1577, 44729), (1969, 44721), (3445, 41), (3669, 8643), (3676, 4394), (3680, 220), (4052, 210), (4077, 14321), (4373, 9), (4391, 4546), (4462, 4943), (4554, 43290), (4858, 4953), (5382, 6065), (6063, 18743), (6556, 728), (6557, 200), (7178, 4729), (8056, 55), (10029, 518), (16078, 8056), (16079, 38266), (16945, 32)
X(62528) = trilinear pole of the line {4462, 10029} and intersection, other than {A, B, C}, of every pair of circumconics with perspectors on this line
X(62528) = perspector of the inconic with center X(24386)
X(62528) = barycentric product X(i)*X(j) for these {i, j}: {7, 40014}, {75, 27818}, {76, 19604}, {85, 4373}, {264, 27832}, {561, 40151}, {1088, 6557}, {1502, 16945}, {2481, 10029}, {3445, 20567}, {3680, 57792}, {4052, 57785}, {4572, 58794}, {6063, 8056}, {6556, 23062}, {16078, 18743}, {24002, 53647}, {27829, 32023}, {27834, 52621}, {27836, 35174}
X(62528) = trilinear product X(i)*X(j) for these {i, j}: {2, 27818}, {7, 4373}, {57, 40014}, {75, 19604}, {76, 40151}, {85, 8056}, {92, 27832}, {145, 16078}, {279, 6557}, {479, 6556}, {561, 16945}, {655, 27836}, {673, 10029}, {1088, 3680}, {1293, 52621}, {1434, 4052}, {3261, 38828}, {3445, 6063}, {3676, 53647}, {4554, 58794}
X(62528) = trilinear quotient X(i)/X(j) for these (i, j): (7, 3052), (75, 3158), (76, 3161), (85, 1743), (305, 44722), (310, 52352), (312, 4936), (348, 20818), (349, 3950), (561, 44720), (693, 4162), (850, 44729), (1088, 1420), (1434, 33628), (1441, 4849), (1502, 44723), (1978, 30720), (3261, 4521), (3445, 2175), (3596, 6555)
X(62528) = (X(27818), X(40014))-harmonic conjugate of X(85)

X(62529) = BICENTRIC DIFFERENCE OF PU(212)

X(62529) lies on these lines: {9, 884}, {657, 21039}, {8641, 15837}

   Centers associated with unary operations: X(62530) - X(60550), X(62721)-X(62733), X(63216)-X(63224),   

Contributed by Clark Kimberling and Peter Moses, April 2024.

A unary operation on homogeneous coordinates x : y : z (barycentric or trilinear) is a mapping that takes the point x:y:z to the point f(x:y:z} : f(y,z,x) : f(z,x,y) for some homoeneous function f. Introduced here are several examples:

u₁(x:y:z) = (y-z)/x : (z-x)/y : (x-y)/z
u₂(x:y:z) = x/(y-z) : y/(z-x) : z/(x-y)
u₃(x:y:z) = (-2x+y+z)/x : (-2y+z+x)/y : (-2z+x+y)/z
u₄(x:y:z) = x/(-2x+y+z) : y/(-2y+z+x) : z/(-2z+x+y)
u₅(x:y:z) = (y-z)/(y+z) : (z-x)/(z+x) : (x-y)/(x+y)
u₆(x:y:z) = (y+z)/(y-z) : (z+x)/(z-x) : (x+y)/(x-y)
u₇(x:y:z) = (-2x+y+z)/(y+z) : (-2y+z+x)/(z+x) : (-2z+x+y)/(x+y)
u₈(x:y:z) = (y+z)/(-2x+y+z) : (z+x)/(-2y+z+x) : (x+y)/(-2z+x+y)
u₉(x:y:z) = (yz-zx-xy)/(y^2-z^2) : (zx-xy-yz)/(z^2-x^2) : (xy-yz-zx)/(x^2-y^2)
u₁₀(x:y:z) = (y^2-z^2)/(yz-zx-xy) : (z^2-x^2)/(zx-xy-yz) : (x^2-y^2)/(xy-yz-zx)
u₁₁(x:y:z) = (yz-zx-xy)/(y^2+z^2) : (zx-xy-yz)/(z^2+x^2) : (xy-yz-zx)/(x^2+y^2)
u₁₂(x:y:z) = (y^2+z^2)/(yz-zx-xy) : (z^2+x^2)/(zx-xy-yz) : (x^2y^2)/(xy-yz-zx)

In that list above, the 12 unary operations are indexed so that for n = 1,2,3,4,5,6, u_2n(X) is the isotomic conjugate of u_2n-1(X) when the coordinates are barycentric, and the isogonal conjugate when the coordinates are trilinear. In addition to the notations "u_n(x:y:z)" and "u_n(X)" the notation "unary(n) of X" will be useful. In the naming of triangle centers "unary(n) of X" is used when the underlying coordinates are barycentric, and "trilinear unary(n) of X" when the coordinates of trilinear. For examples of such points, see X(63202-X(63205) and X(62734)-X(62750).

In the next table, column 1 represents the triangle centers X(1), X(3), X(4), ..., X(11). The appearance of k in (row r, column n) means that u_r(X(n)) = X(k). In this table, it is assumed that the coordinates used to define the unary operations are barycentric coordinates

In the next table, column 1 represents the triangle centers X(2), X(3), X(4), ..., X(11). The appearance of k in (row r, column n) means that u_r(X(n)) = X(k). Here it is assumed that the coordinates used to define the unary operations are trilinear coordinates

For n = 1,2,3,4,5,6,7,8, and a triangle center X, there are formally two triangle centers P such that U_n = X; the twoness of inverses and other properties of unary operations will be published elsewhere during 2024, and this preamble will soon thereafter be updated.

X(62530) = UNARY(9) OF X(1)

X(62530) lies on these lines: {2, 21341}}, {43, 7304}}, {99, 100}}, {101, 3222}}, {110, 4600}}, {149, 30992}}, {190, 24052}}, {261, 17270}}, {645, 3570}}, {648, 57969}}, {662, 4598}}, {670, 4557}}, {750, 1509}}, {789, 931}}, {874, 53280}}, {899, 56431}}, {1054, 18827}}, {1078, 1150}}, {1376, 8033}}, {2668, 17122}}, {2669, 56009}}, {3961, 32010}}, {4413, 51314}}, {4551, 4573}}, {4563, 17934}}, {4576, 17780}}, {4615, 52925}}, {4633, 35339}}, {5205, 52137}}, {5235, 17292}}, {5546, 17941}}, {6382, 20760}}, {6745, 51370}}, {7192, 25310}}, {8708, 59093}}, {9263, 27665}}, {9342, 33779}}, {16598, 35960}}, {17103, 56010}}, {18829, 37137}}, {23824, 33296}}, {27666, 31002}}, {28841, 53631}}, {30610, 57216}}, {31008, 56181}}, {31343, 51563}}, {32038, 35136}}, {33770, 37633}}, {36860, 36863}}, {39915, 60714}}, {43359, 59094}}, {53655, 54986}}

> X(62530) = X(i)-Ceva conjugate of X(j) for these (i,j): {662, 99}}, {4600, 38832}}
X(62530) = X(i)-isoconjugate of X(j) for these (i,j): {42, 43931}}, {87, 512}}, {330, 798}}, {513, 23493}}, {514, 21759}}, {523, 7121}}, {649, 16606}}, {661, 2162}}, {667, 42027}}, {669, 6384}}, {932, 3122}}, {1019, 6378}}, {1919, 60244}}, {1924, 6383}}, {2053, 4017}}, {2319, 7180}}, {2501, 15373}}, {3121, 4598}}, {3125, 34071}}, {3709, 7153}}, {3733, 7148}}, {7155, 51641}}, {7178, 57264}}, {7649, 22381}}, {16592, 58981}}, {21834, 53146}}, {21835, 32039}}, {50491, 53678}}, {51974, 57234}}
X(62530) = X(i)-Dao conjugate of X(j) for these (i,j): {75, 1577}}, {192, 59521}}, {3835, 8034}}, {5375, 16606}}, {6377, 3120}}, {6631, 42027}}, {9296, 60244}}, {9428, 6383}}, {31998, 330}}, {34961, 2053}}, {36830, 2162}}, {39026, 23493}}, {39054, 87}}, {40592, 43931}}, {40598, 523}}, {40610, 3125}}, {55062, 4516}}
X(62530) = cevapoint of X(i) and X(j) for these (i,j): {43, 18197}}, {192, 21051}}, {3741, 48008}}, {3835, 4970}}, {4595, 52923}}, {16695, 27644}}, {17217, 33296}}, {20979, 45216}}, {27527, 56181}}
X(62530) = trilinear pole of line {192, 2176}}
X(62530) = crossdifference of every pair of points on line {3121, 4128}}
X(62530) = barycentric product X(i)*X(j) for these {i,j}}: {1, 36860}}, {43, 799}}, {81, 36863}}, {86, 4595}}, {99, 192}}, {100, 31008}}, {110, 6382}}, {190, 33296}}, {274, 52923}}, {643, 30545}}, {645, 3212}}, {662, 6376}}, {668, 27644}}, {670, 2176}}, {811, 22370}}, {1016, 17217}}, {1414, 4110}}, {1423, 7257}}, {1576, 40367}}, {1978, 38832}}, {2209, 4602}}, {3208, 4625}}, {3835, 4600}}, {3952, 7304}}, {3971, 4610}}, {4083, 4601}}, {4147, 4620}}, {4554, 56181}}, {4567, 20906}}, {4573, 27538}}, {4590, 21051}}, {4594, 17752}}, {4603, 41318}}, {4609, 62420}}, {4623, 20691}}, {4632, 4970}}, {4633, 4734}}, {4634, 52964}}, {4998, 27527}}, {6331, 20760}}, {6632, 23824}}, {7035, 18197}}, {7260, 51902}}, {16695, 31625}}, {16742, 57950}}, {21834, 24037}}, {34537, 50491}}, {53675, 56053}}
X(62530) = barycentric quotient X(i)/X(j) for these {i,j}}: {43, 661}}, {81, 43931}}, {99, 330}}, {100, 16606}}, {101, 23493}}, {110, 2162}}, {163, 7121}}, {190, 42027}}, {192, 523}}, {643, 2319}}, {645, 7155}}, {662, 87}}, {668, 60244}}, {670, 6383}}, {692, 21759}}, {799, 6384}}, {906, 22381}}, {1018, 7148}}, {1403, 7180}}, {1414, 7153}}, {1423, 4017}}, {2176, 512}}, {2209, 798}}, {3208, 4041}}, {3212, 7178}}, {3835, 3120}}, {3882, 45197}}, {3971, 4024}}, {4083, 3125}}, {4110, 4086}}, {4147, 21044}}, {4557, 6378}}, {4558, 23086}}, {4567, 932}}, {4570, 34071}}, {4575, 15373}}, {4590, 56053}}, {4594, 27447}}, {4595, 10}}, {4600, 4598}}, {4601, 18830}}, {4625, 7209}}, {4734, 4841}}, {4970, 4988}}, {5546, 2053}}, {6376, 1577}}, {6377, 8034}}, {6382, 850}}, {7257, 27424}}, {7304, 7192}}, {8640, 3121}}, {16695, 1015}}, {16742, 764}}, {17217, 1086}}, {17752, 2533}}, {17921, 2969}}, {18197, 244}}, {20691, 4705}}, {20760, 647}}, {20906, 16732}}, {20979, 3122}}, {21051, 115}}, {21834, 2643}}, {22370, 656}}, {23092, 3937}}, {23824, 6545}}, {24533, 16592}}, {25098, 18210}}, {25312, 21025}}, {27346, 53566}}, {27527, 11}}, {27538, 3700}}, {27644, 513}}, {30545, 4077}}, {31008, 693}}, {33296, 514}}, {33890, 3801}}, {36860, 75}}, {36863, 321}}, {38832, 649}}, {40367, 44173}}, {40598, 59521}}, {40848, 35352}}, {41526, 51641}}, {43051, 53540}}, {45216, 40627}}, {50491, 3124}}, {51319, 7234}}, {51902, 57234}}, {52923, 37}}, {52964, 4730}}, {53145, 50491}}, {53280, 45218}}, {53675, 21051}}, {53676, 21834}}, {56053, 53677}}, {56181, 650}}, {57074, 3248}}, {62420, 669}}
X(62530) = {X(i),X(j)}}-harmonic conjugate of X(k) for these (i,j,k): {100, 799, 99}}, {662, 57150, 56053}}

X(62531) = UNARY(9) OF X(6)

X(62531) lies on these lines: {110, 670}}, {827, 3222}}, {2056, 38817}}, {4598, 4599}}, {5651, 59249}}, {7931, 10130}}, {14970, 20998}}, {18020, 35325}}, {53657, 57967}}

X(62531) = X(827)-Ceva conjugate of X(4577)
X(62531) = X(i)-isoconjugate of X(j) for these (i,j): {688, 18832}}, {798, 42551}}, {826, 34248}}, {1577, 19606}}, {2084, 2998}}, {3005, 3223}}, {3224, 8061}}, {51951, 62418}}
X(62531) = X(i)-Dao conjugate of X(j) for these (i,j): {76, 23285}}, {31998, 42551}}, {32746, 826}}, {62452, 2998}}
X(62531) = trilinear pole of line {194, 38834}}
X(62531) = barycentric product X(i)*X(j) for these {i,j}}: {83, 57150}}, {194, 4577}}, {670, 38834}}, {689, 1613}}, {827, 6374}}, {1740, 4593}}, {4599, 17149}}, {18837, 34072}}, {37204, 56836}}
X(62531) = barycentric quotient X(i)/X(j) for these {i,j}}: {99, 42551}}, {194, 826}}, {689, 40162}}, {827, 3224}}, {1576, 19606}}, {1613, 3005}}, {1740, 8061}}, {4577, 2998}}, {4593, 18832}}, {4599, 3223}}, {4630, 51951}}, {6374, 23285}}, {17149, 62418}}, {23301, 39691}}, {34072, 34248}}, {38834, 512}}, {56836, 2084}}, {57150, 141}}
X(62531) = {X(110),X(689)}}-harmonic conjugate of X(4577)

X(62532) = UNARY(9) OF X(7)

X(62532) lies on these lines: {85, 31190}}, {190, 658}}, {664, 61222}}, {665, 30610}}, {668, 934}}, {799, 4616}}, {1275, 4617}}, {1461, 3570}}, {4566, 61187}}, {4939, 39126}}, {6376, 17106}}, {7177, 18140}}, {27833, 36838}}, {34085, 61240}}

X(62532) =X(36838)-Ceva conjugate of X(4569)
X(62532) =X(i)-isoconjugate of X(j) for these (i,j): {657, 3445}}, {1253, 58794}}, {1293, 14936}}, {1919, 6556}}, {2310, 34080}}, {3022, 38828}}, {3063, 3680}}, {3900, 38266}}, {4105, 40151}}, {4130, 16945}}, {8056, 8641}}, {19604, 57180}}, {58334, 60806}}
X(62532) =X(i)-Dao conjugate of X(j) for these (i,j): {8, 4130}}, {3756, 3119}}, {9296, 6556}}, {10001, 3680}}, {17113, 58794}}, {40621, 2310}}, {45036, 657}}
X(62532) =cevapoint of X(4462) and X(39126)
X(62532) =trilinear pole of line {145, 39126}}
X(62532) =barycentric product X(i)*X(j) for these {i,j}}: {145, 4569}}, {658, 18743}}, {664, 39126}}, {1088, 43290}}, {1275, 4462}}, {1420, 4572}}, {1743, 46406}}, {3158, 52937}}, {3161, 36838}}, {3950, 4635}}, {4546, 24011}}, {4554, 5435}}, {4616, 52353}}, {4617, 44723}}, {4625, 4848}}, {4626, 44720}}, {23062, 30720}}, {44724, 59941}}, {57192, 57792}}
X(62532) =barycentric quotient X(i)/X(j) for these {i,j}}: {145, 3900}}, {279, 58794}}, {658, 8056}}, {664, 3680}}, {668, 6556}}, {934, 3445}}, {1262, 34080}}, {1275, 27834}}, {1420, 663}}, {1461, 38266}}, {1743, 657}}, {3052, 8641}}, {3158, 4105}}, {3161, 4130}}, {3667, 2310}}, {3950, 4171}}, {4162, 3022}}, {4394, 14936}}, {4404, 52335}}, {4462, 1146}}, {4487, 4528}}, {4521, 3119}}, {4546, 24010}}, {4554, 6557}}, {4566, 56174}}, {4569, 4373}}, {4617, 40151}}, {4626, 19604}}, {4848, 4041}}, {4849, 4524}}, {4855, 57108}}, {4881, 53285}}, {4884, 58335}}, {4939, 23615}}, {4998, 31343}}, {5435, 650}}, {6049, 4162}}, {6614, 16945}}, {7045, 1293}}, {7196, 27831}}, {14321, 36197}}, {16948, 21789}}, {18743, 3239}}, {25737, 34524}}, {30719, 2170}}, {30720, 728}}, {36838, 27818}}, {39126, 522}}, {41629, 1021}}, {43290, 200}}, {44720, 4163}}, {44724, 4578}}, {46406, 40014}}, {51656, 3271}}, {52352, 58329}}, {53579, 46392}}, {57192, 220}}
X(62532) ={X(658),X(4554)}}-harmonic conjugate of X(4569)

X(62533) = UNARY(9) OF X(8)

X(62533) lies on these lines: {646, 42719}}, {664, 668}}, {4569, 4578}}, {4571, 4998}}, {7035, 57928}}, {7256, 55241}}, {17143, 28808}}, {21580, 43290}}, {25268, 30610}}, {31343, 51560}}

X(62533) = X(646)-Ceva conjugate of X(668)
X(62533) = X(i)-isoconjugate of X(j) for these (i,j): {649, 11051}}, {657, 61380}}, {667, 3062}}, {1919, 10405}}, {1980, 44186}}, {3271, 53622}}, {19605, 57181}}
X(62533) = X(i)-Dao conjugate of X(j) for these (i,j): {7, 3669}}, {5375, 11051}}, {6631, 3062}}, {9296, 10405}}, {13609, 244}}
X(62533) = cevapoint of X(7658) and X(21060)
X(62533) = trilinear pole of line {144, 16284}}
X(62533) = barycentric product X(i)*X(j) for these {i,j}}: {144, 668}}, {165, 1978}}, {190, 16284}}, {644, 50560}}, {646, 3160}}, {670, 21872}}, {799, 21060}}, {3207, 6386}}, {3699, 31627}}, {4601, 55285}}, {6558, 50561}}, {7035, 7658}}, {7256, 50562}}
X(62533) = barycentric quotient X(i)/X(j) for these {i,j}}: {100, 11051}}, {144, 513}}, {165, 649}}, {190, 3062}}, {668, 10405}}, {934, 61380}}, {1419, 43924}}, {1978, 44186}}, {3160, 3669}}, {3207, 667}}, {3699, 19605}}, {4554, 36620}}, {4564, 53622}}, {4569, 60831}}, {4601, 55284}}, {4998, 61240}}, {7658, 244}}, {9533, 43932}}, {16284, 514}}, {21060, 661}}, {21872, 512}}, {22117, 22383}}, {30610, 60813}}, {31627, 3676}}, {42720, 56718}}, {50560, 24002}}, {50561, 58817}}, {50563, 51664}}, {55285, 3125}}, {57064, 2310}}, {58835, 14936}}
X(62533) = {X(3699),X(4554)}}-harmonic conjugate of X(668)

X(62534) = UNARY(9) OF X(75)

X(62534) lies on these lines: {8, 7063}}, {76, 30811}}, {99, 8707}}, {110, 17935}}, {190, 670}}, {274, 30818}}, {305, 30840}}, {310, 30821}}, {312, 18021}}, {314, 4519}}, {333, 36799}}, {345, 40363}}, {645, 4631}}, {668, 61172}}, {689, 59120}}, {874, 53280}}, {3699, 7257}}, {3971, 59643}}, {4554, 4602}}, {4563, 4601}}, {4576, 41314}}, {4609, 36803}}, {4633, 52612}}, {4639, 21610}}, {4997, 28660}}, {5205, 14195}}, {6331, 6335}}, {7256, 36802}}, {7260, 21604}}, {8033, 59518}}, {15455, 55209}}, {17777, 19643}}, {18149, 18827}}, {18155, 36801}}, {21580, 55239}}, {31625, 36804}}, {35159, 55060}}, {36796, 40072}}, {36797, 55233}}, {39915, 41318}}, {44327, 55202}}, {53654, 57965}}

X(62534) = isotomic conjugate of X(7180)
X(62534) = isotomic conjugate of the isogonal conjugate of X(645)
X(62534) = X(4602)-Ceva conjugate of X(670)
X(62534) = X(i)-isoconjugate of X(j) for these (i,j): {6, 51641}}, {7, 1924}}, {31, 7180}}, {32, 4017}}, {34, 3049}}, {41, 7250}}, {42, 57181}}, {56, 798}}, {57, 669}}, {65, 1919}}, {77, 57204}}, {85, 9426}}, {109, 3121}}, {163, 61052}}, {181, 57129}}, {184, 55208}}, {213, 43924}}, {226, 1980}}, {512, 604}}, {560, 7178}}, {603, 2489}}, {608, 810}}, {647, 1395}}, {649, 1402}}, {661, 1397}}, {662, 1356}}, {667, 1400}}, {822, 7337}}, {1014, 53581}}, {1018, 61048}}, {1019, 61364}}, {1042, 3063}}, {1084, 1414}}, {1106, 3709}}, {1408, 4079}}, {1412, 50487}}, {1415, 3122}}, {1417, 14407}}, {1501, 4077}}, {1577, 41280}}, {1918, 3669}}, {1974, 51664}}, {1977, 4551}}, {2149, 8034}}, {2175, 7216}}, {2200, 43923}}, {2203, 55234}}, {2205, 3676}}, {2206, 57185}}, {2207, 51640}}, {2422, 51651}}, {3248, 4559}}, {4041, 52410}}, {4117, 4573}}, {4524, 7366}}, {4625, 9427}}, {4637, 7063}}, {4705, 16947}}, {7109, 7203}}, {7212, 14598}}, {8641, 62192}}, {8809, 62175}}, {20948, 41281}}, {21755, 29055}}, {22383, 57652}}, {32669, 42752}}, {32739, 53540}}
X(62534) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 798}}, {2, 7180}}, {9, 51641}}, {11, 3121}}, {115, 61052}}, {650, 8034}}, {1084, 1356}}, {1146, 3122}}, {3160, 7250}}, {3161, 512}}, {5375, 1402}}, {5452, 669}}, {6374, 7178}}, {6376, 4017}}, {6552, 3709}}, {6626, 43924}}, {6631, 1400}}, {6739, 14398}}, {6741, 3124}}, {7952, 2489}}, {9296, 65}}, {9428, 7}}, {10001, 1042}}, {11517, 3049}}, {18277, 7212}}, {31998, 56}}, {34021, 3669}}, {34261, 8639}}, {34961, 32}}, {36830, 1397}}, {36901, 1365}}, {39052, 1395}}, {39054, 604}}, {39060, 1426}}, {39062, 608}}, {40582, 667}}, {40592, 57181}}, {40593, 7216}}, {40599, 50487}}, {40602, 1919}}, {40603, 57185}}, {40605, 649}}, {40608, 1084}}, {40619, 53540}}, {40620, 1357}}, {40624, 3125}}, {40625, 1015}}, {50440, 2491}}, {52871, 14407}}, {55062, 21835}}, {55067, 3248}}, {55153, 42752}}, {59577, 4079}}
X(62534) = cevapoint of X(i) and X(j) for these (i,j): {8, 3709}}, {312, 18155}}, {314, 4560}}, {650, 3706}}, {799, 55241}}, {3666, 4106}}, {3700, 3703}}, {7257, 7258}}
X(62534) = trilinear pole of line {8, 314}}
X(62534) = barycentric product X(i)*X(j) for these {i,j}}: {8, 670}}, {9, 4602}}, {21, 6386}}, {55, 4609}}, {75, 7257}}, {76, 645}}, {78, 57968}}, {85, 7258}}, {92, 55207}}, {99, 3596}}, {100, 40072}}, {110, 40363}}, {190, 28660}}, {200, 55213}}, {261, 27808}}, {274, 646}}, {281, 52608}}, {305, 36797}}, {306, 55233}}, {310, 3699}}, {312, 799}}, {314, 668}}, {318, 55202}}, {321, 4631}}, {333, 1978}}, {341, 4625}}, {345, 6331}}, {561, 643}}, {644, 6385}}, {648, 57919}}, {662, 28659}}, {689, 3703}}, {811, 3718}}, {850, 6064}}, {1043, 4572}}, {1264, 6528}}, {1502, 5546}}, {1576, 44159}}, {2321, 52612}}, {3688, 42371}}, {3700, 34537}}, {3701, 4623}}, {3709, 44168}}, {3710, 55229}}, {3712, 53080}}, {3719, 57973}}, {3786, 46132}}, {3948, 36806}}, {3952, 18021}}, {3975, 4639}}, {4033, 52379}}, {4069, 57992}}, {4076, 52619}}, {4086, 24037}}, {4087, 4589}}, {4391, 4601}}, {4560, 31625}}, {4561, 44130}}, {4563, 7017}}, {4571, 57796}}, {4573, 59761}}, {4600, 35519}}, {4610, 30713}}, {4612, 27801}}, {4620, 52622}}, {4634, 4723}}, {4635, 30693}}, {4997, 55262}}, {6063, 7256}}, {7035, 18155}}, {7101, 55205}}, {7259, 20567}}, {7260, 17787}}, {16749, 42380}}, {23978, 55194}}, {27424, 36860}}, {27853, 36800}}, {28654, 55196}}, {33299, 37204}}, {34404, 55241}}, {36795, 55258}}, {36796, 55260}}, {40499, 59146}}, {42033, 55209}}
X(62534) = barycentric quotient X(i)/X(j) for these {i,j}}: {1, 51641}}, {2, 7180}}, {7, 7250}}, {8, 512}}, {9, 798}}, {11, 8034}}, {21, 667}}, {41, 1924}}, {55, 669}}, {75, 4017}}, {76, 7178}}, {78, 810}}, {81, 57181}}, {85, 7216}}, {86, 43924}}, {92, 55208}}, {99, 56}}, {100, 1402}}, {107, 7337}}, {110, 1397}}, {162, 1395}}, {190, 1400}}, {210, 50487}}, {219, 3049}}, {261, 3733}}, {274, 3669}}, {281, 2489}}, {284, 1919}}, {286, 43923}}, {304, 51664}}, {305, 17094}}, {306, 55234}}, {310, 3676}}, {312, 661}}, {314, 513}}, {321, 57185}}, {326, 51640}}, {332, 1459}}, {333, 649}}, {341, 4041}}, {345, 647}}, {346, 3709}}, {391, 4832}}, {497, 50490}}, {512, 1356}}, {522, 3122}}, {523, 61052}}, {561, 4077}}, {607, 57204}}, {643, 31}}, {644, 213}}, {645, 6}}, {646, 37}}, {648, 608}}, {650, 3121}}, {658, 62192}}, {662, 604}}, {664, 1042}}, {668, 65}}, and many others
X(62534) = {X(i),X(j)}}-harmonic conjugate of X(k) for these (i,j,k): {799, 1978, 670}}, {799, 7258, 55207}}, {1978, 55262, 799}}, {55241, 55254, 55224}}

X(62535) = UNARY(9) OF X(86)

X(62535) lies on on Mandart circumellipse, the curve CC9, and these lines: {100, 4596}}, {190, 4610}}, {660, 8701}}, {897, 40438}}, {1171, 37128}}, {4556, 37211}}, {4573, 38340}}, {4608, 60055}}, {4631, 37218}}, {8052, 55237}}, {24041, 37135}}, {24624, 32014}}, {36085, 47947}}, {37129, 52558}}, {37142, 57685}}, {37202, 57854}}, {50344, 60057}}

X(62535) = X(i)-isoconjugate of X(j) for these (i,j): {2, 8663}}, {6, 6367}}, {37, 4983}}, {42, 4988}}, {115, 35327}}, {181, 4976}}, {213, 30591}}, {430, 647}}, {512, 1213}}, {513, 21816}}, {523, 20970}}, {594, 50512}}, {649, 8013}}, {661, 1962}}, {669, 1230}}, {756, 4979}}, {798, 4647}}, {872, 4978}}, {1100, 4705}}, {1125, 4079}}, {1269, 53581}}, {1500, 4977}}, {1839, 55230}}, {1919, 52576}}, {2308, 4024}}, {2355, 55232}}, {2422, 51417}}, {2489, 41014}}, {2501, 22080}}, {2643, 35342}}, {3049, 44143}}, {3121, 61174}}, {3122, 4115}}, {3124, 4427}}, {3649, 3709}}, {3683, 57185}}, {4046, 7180}}, {4092, 36075}}, {4359, 50487}}, {4516, 61170}}, {4992, 6378}}, {7064, 30724}}, {8025, 58289}}, {8040, 58294}}, {30729, 61052}}
X(62535) = X(i)-Dao conjugate of X(j) for these (i,j): {9, 6367}}, {5375, 8013}}, {6626, 30591}}, {9296, 52576}}, {31998, 4647}}, {32664, 8663}}, {36830, 1962}}, {39026, 21816}}, {39052, 430}}, {39054, 1213}}, {40589, 4983}}, {40592, 4988}}
X(62535) = cevapoint of X(i) and X(j) for these (i,j): {662, 52935}}, {4467, 41809}}, {4596, 4629}}, {40438, 47947}}
X(62535) = trilinear pole of line {1, 757}}
X(62535) = barycentric product X(i)*X(j) for these {i,j}}: {75, 6578}}, {81, 4632}}, {86, 4596}}, {99, 40438}}, {162, 57854}}, {274, 4629}}, {662, 32014}}, {668, 52558}}, {757, 6540}}, {799, 1171}}, {811, 57685}}, {873, 8701}}, {1126, 4623}}, {1255, 4610}}, {1268, 52935}}, {1509, 37212}}, {1796, 55231}}, {4556, 32018}}, {4590, 47947}}, {4608, 24041}}, {24037, 50344}}, {28615, 52612}}
X(62535) = barycentric quotient X(i)/X(j) for these {i,j}}: {1, 6367}}, {31, 8663}}, {58, 4983}}, {81, 4988}}, {86, 30591}}, {99, 4647}}, {100, 8013}}, {101, 21816}}, {110, 1962}}, {162, 430}}, {163, 20970}}, {249, 35342}}, {261, 4985}}, {593, 4979}}, {643, 4046}}, {662, 1213}}, {668, 52576}}, {757, 4977}}, {799, 1230}}, {811, 44143}}, {849, 50512}}, {1098, 4990}}, {1101, 35327}}, {1126, 4705}}, {1171, 661}}, {1255, 4024}}, {1268, 4036}}, {1414, 3649}}, {1509, 4978}}, {1796, 55232}}, {2185, 4976}}, {4556, 1100}}, {4558, 3958}}, {4567, 4115}}, {4575, 22080}}, {4592, 41014}}, {4596, 10}}, {4600, 61174}}, {4608, 1109}}, {4610, 4359}}, {4612, 3686}}, {4623, 1269}}, {4629, 37}}, {4632, 321}}, {4636, 3683}}, {6540, 1089}}, {6578, 1}}, {8701, 756}}, {24041, 4427}}, {28615, 4079}}, {30576, 4984}}, {30581, 53587}}, {32014, 1577}}, {32018, 52623}}, {37212, 594}}, {40438, 523}}, {47947, 115}}, {50344, 2643}}, {52378, 61170}}, {52558, 513}}, {52935, 1125}}, {57685, 656}}, {57854, 14208}}, {58294, 21833}}
X(62535) = {X(4596),X(52935)}}-harmonic conjugate of X(6578)

X(62536) = UNARY(9) OF X(190)

X(62536) lies on the circumeconic {{A,B,C,X(2),X(7)}} and these lines: {2, 1016}}, {7, 4998}}, {75, 7035}}, {86, 4600}}, {88, 335}}, {106, 31002}}, {190, 6544}}, {673, 4997}}, {675, 6551}}, {750, 765}}, {899, 5378}}, {901, 8709}}, {903, 1644}}, {1252, 60873}}, {2400, 57928}}, {3257, 3570}}, {4076, 36588}}, {4080, 6650}}, {4555, 4618}}, {4582, 42720}}, {4589, 4615}}, {4945, 27931}}, {6631, 14475}}, {10196, 32106}}, {16099, 57990}}, {31227, 36807}}, {31625, 58027}}, {31992, 32028}}, {32094, 45684}}, {55243, 55258}}

X(62536) = isotomic conjugate of X(1647)
on ABCGGe
X(62536) = isotomic conjugate of the complement of X(17780)
X(62536) = isotomic conjugate of the isogonal conjugate of X(9268)
X(62536) = X(i)-Ceva conjugate of X(j) for these (i,j): {6635, 4555}}, {42372, 6635}}, {57564, 1016}}
X(62536) = X(i)-isoconjugate of X(j) for these (i,j): {6, 2087}}, {31, 1647}}, {44, 1015}}, {100, 8661}}, {106, 42084}}, {244, 902}}, {513, 1960}}, {519, 3248}}, {604, 4530}}, {649, 1635}}, {663, 53528}}, {667, 900}}, {678, 43922}}, {692, 6550}}, {764, 23344}}, {875, 4448}}, {1019, 14407}}, {1023, 21143}}, {1086, 2251}}, {1110, 24188}}, {1111, 9459}}, {1319, 3271}}, {1320, 61062}}, {1357, 3689}}, {1404, 2170}}, {1415, 52338}}, {1417, 4542}}, {1639, 57181}}, {1919, 3762}}, {1977, 4358}}, {2969, 23202}}, {3063, 30725}}, {3121, 16704}}, {3122, 52680}}, {3124, 30576}}, {3125, 3285}}, {3249, 24004}}, {3251, 23345}}, {3259, 34858}}, {3733, 4730}}, {4120, 57129}}, {4618, 14637}}, {4723, 61048}}, {4817, 14436}}, {4895, 43924}}, {5440, 42067}}, {6591, 22086}}, {8027, 17780}}, {9456, 35092}}, {14437, 23892}}, {14442, 32665}}, {14835, 59150}}, {16726, 52963}}, {22096, 38462}}, {23349, 30583}}
X(62536) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 1647}}, {9, 2087}}, {214, 42084}}, {514, 24188}}, {1086, 6550}}, {1146, 52338}}, {1647, 46050}}, {3161, 4530}}, {4370, 35092}}, {5375, 1635}}, {6631, 900}}, {8054, 8661}}, {9296, 3762}}, {9460, 1086}}, {10001, 30725}}, {16586, 3259}}, {35092, 14442}}, {39026, 1960}}, {40594, 244}}, {40595, 1015}}, {52659, 14027}}, {52871, 4542}}
X(62536) = cevapoint of X(i) and X(j) for these (i,j): {2, 17780}}, {100, 37680}}, {106, 3257}}, {190, 519}}, {514, 24188}}, {900, 45213}}, {903, 4555}}, {1647, 6546}}, {2397, 51984}}, {3699, 32851}}
X(62536) = trilinear pole of line {190, 514}}
X(62536) = barycentric product X(i)*X(j) for these {i,j}}: {75, 5376}}, {76, 9268}}, {88, 7035}}, {106, 31625}}, {190, 4555}}, {514, 6635}}, {519, 57564}}, {664, 4582}}, {668, 3257}}, {765, 20568}}, {901, 1978}}, {903, 1016}}, {1018, 4634}}, {1022, 57950}}, {1086, 42372}}, {1252, 57995}}, {3261, 6551}}, {3952, 4615}}, {4013, 4590}}, {4033, 4622}}, {4080, 4600}}, {4572, 5548}}, {4591, 27808}}, {4601, 4674}}, {4618, 24004}}, {4997, 4998}}, {5381, 52755}}, {6386, 32665}}, {6548, 6632}}
X(62536) = barycentric quotient X(i)/X(j) for these {i,j}}: {1, 2087}}, {2, 1647}}, {8, 4530}}, {44, 42084}}, {59, 1404}}, {88, 244}}, {100, 1635}}, {101, 1960}}, {106, 1015}}, {190, 900}}, {514, 6550}}, {519, 35092}}, {522, 52338}}, {644, 4895}}, {646, 4768}}, {649, 8661}}, {651, 53528}}, {664, 30725}}, {668, 3762}}, {765, 44}}, {900, 14442}}, {901, 649}}, {903, 1086}}, {908, 3259}}, {1016, 519}}, {1018, 4730}}, {1022, 764}}, {1023, 3251}}, {1086, 24188}}, {1110, 2251}}, {1252, 902}}, {1320, 2170}}, {1331, 22086}}, {1332, 53532}}, and many others
X(62536) = {X(i),X(j)}}-harmonic conjugate of X(k) for these (i,j,k): {2, 6634, 6632}}, {17780, 34762, 4555}}

X(62537) = UNARY(11) OF X(1)

X(62537) lies on these lines: {57, 6649}}, {82, 34252}}, {83, 213}}, {192, 62420}}, {251, 27809}}, {2176, 6382}}, {2210, 32928}}, {2240, 21217}}, {3570, 3961}}, {3891, 7760}}, {4577, 35143}}, {4685, 18082}}, {7109, 56660}}, {27494, 52394}}, {39694, 52376}}

X(62537) = X(82)-Ceva conjugate of X(83)
X(62537) = X(i)-isoconjugate of X(j) for these (i,j): {38, 2162}}, {39, 87}}, {141, 7121}}, {330, 1964}}, {427, 15373}}, {932, 21123}}, {1401, 2319}}, {1923, 6383}}, {2084, 56053}}, {2530, 34071}}, {3051, 6384}}, {3665, 57264}}, {3688, 7153}}, {4598, 50521}}, {16606, 17187}}, {16696, 23493}}, {16887, 21759}}, {17171, 22381}}, {17442, 23086}}, {43931, 46148}}
X(62537) = X(i)-Dao conjugate of X(j) for these (i,j): {75, 1930}}, {6377, 16892}}, {40598, 141}}, {40610, 2530}}, {41884, 330}}, {62452, 56053}}
X(62537) = cevapoint of X(192) and X(2176)
X(62537) = trilinear pole of line {18107, 21051}}
X(62537) = barycentric product X(i)*X(j) for these {i,j}}: {43, 3112}}, {82, 6376}}, {83, 192}}, {190, 18107}}, {251, 6382}}, {308, 2176}}, {689, 50491}}, {2209, 18833}}, {3971, 52394}}, {4577, 21051}}, {4593, 21834}}, {4595, 10566}}, {7304, 61405}}, {18082, 33296}}, {18098, 31008}}, {18108, 36863}}, {20760, 46104}}, {27644, 56186}}, {30545, 56245}}, {36860, 55240}}, {38832, 56251}}, {40016, 62420}}, {40367, 46288}}
X(62537) = barycentric quotient X(i)/X(j) for these {i,j}}: {43, 38}}, {82, 87}}, {83, 330}}, {192, 141}}, {251, 2162}}, {308, 6383}}, {1176, 23086}}, {1403, 1401}}, {2176, 39}}, {2209, 1964}}, {3112, 6384}}, {3208, 33299}}, {3212, 3665}}, {3835, 16892}}, {3971, 15523}}, {4083, 2530}}, {4147, 48278}}, {4577, 56053}}, {4595, 4568}}, {4628, 34071}}, {6376, 1930}}, {6382, 8024}}, {7304, 61407}}, {8640, 50521}}, {17752, 16720}}, {18082, 42027}}, {18098, 16606}}, {18107, 514}}, {18108, 43931}}, {20691, 3954}}, {20760, 3917}}, {20906, 48084}}, {20979, 21123}}, {21051, 826}}, {21834, 8061}}, {27538, 3703}}, {27644, 16696}}, {31008, 16703}}, {33296, 16887}}, {36860, 55239}}, {38832, 17187}}, {40367, 52568}}, {46289, 7121}}, {50491, 3005}}, {52923, 4553}}, {56186, 60244}}, {56245, 2319}}, {62420, 3051}}
X(62537) = {X(3112),X(18098)}}-harmonic conjugate of X(83)

X(62538) = UNARY(11) OF X(7)

X(62538) lies on these lines: {69, 200}}, {1407, 4437}}, {3928, 7131}}

X(62538) = X(i)-isoconjugate of X(j) for these (i,j): {1293, 17115}}, {3445, 4319}}, {3680, 7083}}, {4012, 16945}}, {6554, 38266}}, {8056, 30706}}, {28070, 40151}}
X(62538) = X(i)-Dao conjugate of X(j) for these (i,j): {8, 4012}}, {45036, 4319}}
X(62538) = barycentric product X(i)*X(j) for these {i,j}}: {145, 30705}}, {4462, 8269}}, {5435, 8817}}, {7131, 39126}}, {18743, 56359}}
X(62538) = barycentric quotient X(i)/X(j) for these {i,j}}: {145, 6554}}, {1420, 2082}}, {1743, 4319}}, {3052, 30706}}, {3158, 28070}}, {3161, 4012}}, {4394, 17115}}, {5435, 497}}, {7131, 3680}}, {8269, 27834}}, {8817, 6557}}, {30701, 6556}}, {30705, 4373}}, {56359, 8056}}
X(62538) = {X(8817),X(56359)}}-harmonic conjugate of X(30705)

X(62539) = UNARY(11) OF X(75)

X(62539) lies on these lines: {8, 40363}}, {42, 308}}, {55, 3596}}, {65, 18033}}, {83, 41232}}, {210, 4087}}, {561, 18043}}, {607, 7017}}, {689, 28471}}, {1334, 3975}}, {1799, 57984}}, {1824, 40717}}, {3175, 56186}}, {4366, 28654}}, {4494, 39250}}, {13576, 40016}}, {18021, 56154}}, {27853, 33938}}, {52394, 58027}}

X(62539) = isotomic conjugate of X(1401)
X(62539) = X(18833)-Ceva conjugate of X(308)
X(62539) = X(i)-isoconjugate of X(j) for these (i,j): {7, 1923}}, {31, 1401}}, {34, 20775}}, {38, 1397}}, {39, 604}}, {56, 1964}}, {57, 3051}}, {77, 27369}}, {85, 41331}}, {109, 50521}}, {560, 3665}}, {603, 1843}}, {608, 4020}}, {667, 46153}}, {688, 1414}}, {1014, 41267}}, {1106, 3688}}, {1395, 3917}}, {1402, 17187}}, {1407, 40972}}, {1408, 21035}}, {1412, 21814}}, {1415, 21123}}, {1424, 19606}}, {1634, 51641}}, {1930, 41280}}, {2084, 4565}}, {3954, 16947}}, {4625, 9494}}, {7366, 61316}}, {17442, 52411}}, {33299, 52410}}, {41272, 51653}}, {46148, 57181}}, {51651, 51869}}, {51664, 61218}}
X(62539) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 1964}}, {2, 1401}}, {11, 50521}}, {1146, 21123}}, {3161, 39}}, {5452, 3051}}, {6374, 3665}}, {6552, 3688}}, {6631, 46153}}, {6741, 3005}}, {7952, 1843}}, {11517, 20775}}, {24771, 40972}}, {40599, 21814}}, {40605, 17187}}, {40608, 688}}, {40624, 2530}}, {41884, 56}}, {55064, 2084}}, {59577, 21035}}, {62452, 4565}}
X(62539) = cevapoint of X(8) and X(3596)
X(62539) = trilinear pole of line {3709, 47793}}
X(62539) = barycentric product X(i)*X(j) for these {i,j}}: {8, 308}}, {9, 18833}}, {55, 40016}}, {82, 28659}}, {83, 3596}}, {251, 40363}}, {312, 3112}}, {314, 56186}}, {333, 56251}}, {345, 46104}}, {561, 56245}}, {645, 52618}}, {689, 3700}}, {1799, 7017}}, {3115, 4178}}, {3709, 42371}}, {4041, 37204}}, {4086, 4593}}, {7257, 18070}}, {18021, 61405}}, {18082, 28660}}, {18098, 40072}}, {18101, 31625}}, {30713, 52394}}, {32085, 57919}}, {44159, 46288}}
X(62539) = barycentric quotient X(i)/X(j) for these {i,j}}: {2, 1401}}, {8, 39}}, {9, 1964}}, {41, 1923}}, {55, 3051}}, {76, 3665}}, {78, 4020}}, {82, 604}}, {83, 56}}, {190, 46153}}, {200, 40972}}, {210, 21814}}, {219, 20775}}, {251, 1397}}, {281, 1843}}, {308, 7}}, {312, 38}}, {314, 16696}}, {318, 17442}}, {333, 17187}}, {341, 33299}}, {345, 3917}}, {346, 3688}}, {522, 21123}}, {607, 27369}}, {645, 1634}}, {646, 4553}}, {650, 50521}}, {689, 4573}}, and many others
X(62539) = {X(3112),X(56251)}}-harmonic conjugate of X(308)

X(62540) = UNARY(11) OF X(190)

X(62540) lies on these lines: {2, 32028}}, {190, 6545}}, {514, 6632}}, {903, 40468}}, {4756, 58373}}, {6550, 6634}}, {21204, 32106}}, {36872, 46972}}

X(62540) = isotomic conjugate of X(6546)
X(62540) = isotomic conjugate of the anticomplement of X(21204)
X(62540) = X(i)-isoconjugate of X(j) for these (i,j): {6, 6161}}, {31, 6546}}, {649, 3722}}, {667, 4422}}, {692, 6547}}, {1015, 46973}}, {1415, 55376}}, {1862, 22383}}, {1919, 4986}}, {3248, 32094}}, {9456, 33905}}
X(62540) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 6546}}, {9, 6161}}, {1086, 6547}}, {1146, 55376}}, {4370, 33905}}, {5375, 3722}}, {6631, 4422}}, {9296, 4986}}
X(62540) = cevapoint of X(190) and X(514)
X(62540) = trilinear pole of line {519, 1738}}
X(62540) = barycentric product X(i)*X(j) for these {i,j}}: {668, 46972}}, {7035, 58373}}
X(62540) = barycentric quotient X(i)/X(j) for these {i,j}}: {1, 6161}}, {2, 6546}}, {100, 3722}}, {190, 4422}}, {514, 6547}}, {519, 33905}}, {522, 55376}}, {668, 4986}}, {765, 46973}}, {1016, 32094}}, {1897, 1862}}, {46972, 513}}, {58373, 244}}

X(62541) = UNARY(12) OF X(1)

X(62541) lies on these lines: {38, 16720}}, {81, 330}}, {312, 335}}, {536, 13476}}, {698, 982}}, {732, 1401}}, {984, 59564}}, {3752, 16606}}, {4670, 4906}}, {6383, 6385}}, {9055, 24691}}, {27447, 40038}}, {30520, 43931}}, {35525, 61417}}, {40013, 60244}}, {46180, 52211}}

X(62541) = X(i)-isoconjugate of X(j) for these (i,j): {43, 251}}, {82, 2176}}, {83, 2209}}, {192, 46289}}, {692, 18107}}, {827, 21834}}, {1403, 56245}}, {3112, 62420}}, {4083, 4628}}, {4599, 50491}}, {6376, 46288}}, {18098, 38832}}, {21051, 34072}}
X(62541) = X(i)-Dao conjugate of X(j) for these (i,j): {39, 192}}, {141, 2176}}, {1086, 18107}}, {3124, 50491}}, {15449, 21051}}, {34452, 62420}}, {40585, 43}}, {55043, 21834}}
X(62541) = barycentric product X(i)*X(j) for these {i,j}}: {38, 6384}}, {39, 6383}}, {87, 1930}}, {141, 330}}, {826, 56053}}, {932, 48084}}, {1235, 23086}}, {2162, 8024}}, {2530, 18830}}, {3665, 7155}}, {4598, 16892}}, {7209, 33299}}, {16606, 16703}}, {16696, 60244}}, {16720, 27447}}, {16887, 42027}}
X(62541) = barycentric quotient X(i)/X(j) for these {i,j}}: {38, 43}}, {39, 2176}}, {87, 82}}, {141, 192}}, {330, 83}}, {514, 18107}}, {826, 21051}}, {1401, 1403}}, {1930, 6376}}, {1964, 2209}}, {2162, 251}}, {2319, 56245}}, {2530, 4083}}, {3005, 50491}}, {3051, 62420}}, {3665, 3212}}, {3703, 27538}}, {3917, 20760}}, {3954, 20691}}, {4553, 52923}}, {4568, 4595}}, {6383, 308}}, {6384, 3112}}, {7121, 46289}}, {8024, 6382}}, {8061, 21834}}, {15523, 3971}}, {16606, 18098}}, {16696, 27644}}, {16703, 31008}}, {16720, 17752}}, {16887, 33296}}, {16892, 3835}}, {17187, 38832}}, {21123, 20979}}, {23086, 1176}}, {33299, 3208}}, {34071, 4628}}, {42027, 18082}}, {43931, 18108}}, {48084, 20906}}, {48278, 4147}}, {50521, 8640}}, {52568, 40367}}, {55239, 36860}}, {56053, 4577}}, {60244, 56186}}, {61407, 7304}}

X(62542) = UNARY(12) OF X(4)

X(62542) lies on these lines: {66, 524}}, {287, 6340}}, {2052, 2996}}, {8770, 26958}}, {52350, 60839}}, {53173, 60834}}

X(62542) = X(1707)-isoconjugate of X(56364)
X(62542) = X(i)-Dao conjugate of X(j) for these (i,j): {3767, 193}}, {53848, 3167}}
X(62542) = barycentric product X(i)*X(j) for these {i,j}}: {1899, 6340}}, {2996, 6389}}, {6391, 41009}}, {34208, 44141}}, {41760, 60839}}
X(62542) = barycentric quotient X(i)/X(j) for these {i,j}}: {426, 3167}}, {1899, 6353}}, {6340, 34405}}, {6389, 193}}, {6391, 56307}}, {8770, 56364}}, {34208, 57684}}, {39643, 3053}}, {40947, 19118}}, {41009, 54412}}, {41760, 21447}}, {44141, 6337}}, {60839, 56004}}, {61360, 62194}}

X(62543) = UNARY(12) OF X(7)

X(62543) lies on these lines: {4, 519}}, {341, 6556}}, {1088, 4373}}, {1738, 8056}}, {6557, 14942}}, {10563, 30286}}, {24392, 53594}}

X(62543) = X(i)-isoconjugate of X(j) for these (i,j): {1037, 1420}}, {3052, 56359}}, {8269, 8643}}
X(62543) = X(i)-Dao conjugate of X(j) for these (i,j): {4000, 145}}, {14936, 4394}}, {24151, 56359}}, {59619, 39126}}
X(62543) = barycentric product X(i)*X(j) for these {i,j}}: {497, 6557}}, {4000, 6556}}, {4012, 27818}}, {4319, 40014}}, {4373, 6554}}
X(62543) = barycentric quotient X(i)/X(j) for these {i,j}}: {497, 5435}}, {2082, 1420}}, {3680, 7131}}, {4012, 3161}}, {4319, 1743}}, {4373, 30705}}, {6554, 145}}, {6556, 30701}}, {6557, 8817}}, {8056, 56359}}, {17115, 4394}}, {27834, 8269}}, {28070, 3158}}, {30706, 3052}}

X(62544) = UNARY(12) OF X(8)

X(62544) lies on these lines: {312, 10405}}, {527, 3062}}, {673, 2898}}, {19605, 30827}}, {23062, 60831}}

X(62544) = X(i)-isoconjugate of X(j) for these (i,j): {144, 7084}}, {165, 7123}}, {3207, 56179}}
X(62544) = X(i)-Dao conjugate of X(j) for these (i,j): {6554, 144}}, {14936, 58835}}, {15487, 165}}, {18589, 21872}}
X(62544) = barycentric product X(i)*X(j) for these {i,j}}: {497, 36620}}, {614, 44186}}, {3062, 3673}}, {4000, 10405}}, {6554, 60831}}, {48403, 55284}}
X(62544) = barycentric quotient X(i)/X(j) for these {i,j}}: {614, 165}}, {1473, 22117}}, {3062, 56179}}, {3673, 16284}}, {3914, 21060}}, {4000, 144}}, {7195, 3160}}, {10405, 30701}}, {11051, 7123}}, {16502, 3207}}, {16583, 21872}}, {17115, 58835}}, {19605, 56243}}, {28017, 1419}}, {36620, 8817}}, {44186, 57925}}, {48398, 7658}}, {48403, 55285}}, {60831, 30705}}

X(62545) = UNARY(12) OF X(69)

X(62545) lies on these lines: {30, 64}}, {98, 459}}, {253, 305}}, {1073, 30771}}, {1093, 6526}}, {13854, 41489}}

X(62545) = X(610)-isoconjugate of X(56004)
X(62545) = X(i)-Dao conjugate of X(j) for these (i,j): {6389, 20}}, {14092, 56004}}, {14713, 154}}, {40839, 34405}}
X(62545) = barycentric product X(i)*X(j) for these {i,j}}: {64, 41760}}, {253, 3767}}, {459, 1899}}, {1632, 58759}}, {2184, 17871}}, {6389, 6526}}, {34403, 41762}}, {40947, 52581}}, {41009, 41489}}, {41530, 42295}}
X(62545) = barycentric quotient X(i)/X(j) for these {i,j}}: {64, 56004}}, {253, 42407}}, {459, 34405}}, {1632, 36841}}, {1899, 37669}}, {3767, 20}}, {17871, 18750}}, {39643, 35602}}, {40947, 15905}}, {41489, 56307}}, {41760, 14615}}, {41762, 1249}}, {42295, 154}}, {44326, 42297}}, {61349, 56364}}

X(62546) = UNARY(12) OF X(76)

X(62546) lies on these lines: {4, 18022}}, {25, 694}}, {51, 460}}, {343, 5167}}, {427, 5103}}, {428, 524}}, {1974, 17409}}, {3051, 3080}}, {3852, 3981}}, {4173, 20859}}, {5140, 52281}}, {8265, 23209}}, {10551, 19130}}, {20965, 46522}}, {27369, 61346}}, {33728, 52967}}, {37894, 49122}}, {40368, 44162}}, {58260, 61334}}

X(62546) = polar conjugate of X(44165)
X(62546) = polar conjugate of the isotomic conjugate of X(8265)
X(62546) = polar conjugate of the isogonal conjugate of X(44164)
X(62546) = X(i)-isoconjugate of X(j) for these (i,j): {48, 44165}}, {63, 38830}}, {69, 38847}}, {304, 40416}}, {9247, 44163}}, {38826, 40364}}
X(62546) = X(i)-Dao conjugate of X(j) for these (i,j): {626, 69}}, {1249, 44165}}, {3162, 38830}}, {8265, 40050}}
X(62546) = crossdifference of every pair of points on line {22159, 23148}}
X(62546) = barycentric product X(i)*X(j) for these {i,j}}: {4, 8265}}, {19, 2085}}, {25, 20859}}, {264, 44164}}, {393, 4173}}, {626, 1974}}, {1824, 16717}}, {1973, 4118}}, {2052, 23209}}, {2207, 20819}}, {3118, 32085}}, {4121, 36417}}, {8023, 18022}}, {16890, 27369}}, {16893, 61383}}, {40016, 46509}}, {44162, 44166}}, {46288, 46508}}
X(62546) = barycentric quotient X(i)/X(j) for these {i,j}}: {4, 44165}}, {25, 38830}}, {264, 44163}}, {626, 40050}}, {1973, 38847}}, {1974, 40416}}, {2085, 304}}, {3118, 3933}}, {4118, 40364}}, {4173, 3926}}, {8023, 184}}, {8265, 69}}, {8743, 38842}}, {20859, 305}}, {23209, 394}}, {44162, 38826}}, {44164, 3}}, {44166, 40360}}, {46508, 52568}}, {46509, 3051}}

X(62547) = UNARY(12) OF X(85)

X(62547) lies on these lines: {8, 6063}}, {72, 12397}}, {200, 14943}}, {210, 52562}}, {527, 3059}}, {3022, 28070}}, {4012, 4111}}

X(62547) = X(21258)-Dao conjugate of X(7)
X(62547) = barycentric product X(i)*X(j) for these {i,j}}: {346, 39789}}, {480, 21258}}, {728, 21346}}, {5423, 23653}}, {6602, 21436}}
X(62547) = barycentric quotient X(i)/X(j) for these {i,j}}: {21258, 57880}}, {21346, 23062}}, {22440, 30682}}, {23653, 479}}, {39789, 279}}

X(62548) = UNARY(12) OF X(86)

X(62548) lies on these lines: {10, 42710}}, {75, 873}}, {321, 1109}}, {519, 2650}}, {740, 3920}}, {1089, 6538}}, {2643, 15523}}, {3263, 4967}}, {3720, 57040}}, {4101, 42005}}, {4418, 6043}}, {6757, 60139}}, {17015, 49598}}, {17163, 33090}}, {17441, 20902}}, {20360, 33081}}, {20627, 33935}}, {20911, 33145}}, {23944, 25957}}, {50312, 56564}}

X(62548) = reflection of X(17015) in X(49598)
X(62548) = X(i)-Dao conjugate of X(j) for these (i,j): {6537, 757}}, {17045, 1}}
X(62548) = barycentric product X(i)*X(j) for these {i,j}}: {75, 6537}}, {274, 21705}}, {313, 6155}}, {321, 6536}}, {561, 61324}}, {1089, 17045}}, {6358, 41002}}
X(62548) = barycentric quotient X(i)/X(j) for these {i,j}}: {6155, 58}}, {6536, 81}}, {6537, 1}}, {17045, 757}}, {21705, 37}}, {41002, 2185}}, {61324, 31}}

X(62549) = UNARY(12) OF X(264)

X(62549) lies on these lines: {30, 5562}}, {69, 8795}}, {394, 6638}}, {426, 34980}}, {1092, 19210}}, {3917, 41008}}, {6752, 13409}}, {37671, 62347}}, {45200, 52463}}

X(62549) = barycentric product X(i)*X(j) for these {i,j}}: {394, 13409}}, {3926, 6752}}, {4176, 61334}}
X(62549) = barycentric quotient X(i)/X(j) for these {i,j}}: {6752, 393}}, {13409, 2052}}, {21638, 8794}}, {61334, 6524}}

X(62550) = UNARY(20) OF X(274)

X(62550) lies on these lines: {1, 873}}, {42, 2107}}, {536, 2667}}, {1962, 3009}}

X(62551) = X(2)-CEVA CONJUGATE OF X(5664)

X(62551) lies on these lines: {2, 6}, {3, 5877}, {4, 2453}, {25, 47150}, {30, 53274}, {50, 340}, {67, 98}, {76, 18375}, {114, 5181}, {115, 127}, {125, 9003}, {147, 2930}, {187, 45312}, {264, 9220}, {297, 16237}, {381, 50146}, {403, 35908}, {468, 23347}, {511, 57603}, {523, 868}, {526, 53132}, {635, 59161}, {636, 59160}, {648, 60739}, {895, 30789}, {1494, 1989}, {1503, 7422}, {1513, 32113}, {1514, 52488}, {1561, 53568}, {1632, 10722}, {1634, 51872}, {1650, 38401}, {2076, 50436}, {2088, 5664}, {2794, 41359}, {2966, 51894}, {3134, 12079}, {3258, 16186}, {3260, 34827}, {3454, 18120}, {3564, 52772}, {5099, 57604}, {5648, 6054}, {5984, 25335}, {6036, 32257}, {6791, 12037}, {7202, 8287}, {7417, 16320}, {7669, 9862}, {7737, 40856}, {7908, 52036}, {9140, 48984}, {9204, 30465}, {9205, 30468}, {9717, 16319}, {9971, 9993}, {10257, 39371}, {10718, 48981}, {11007, 46127}, {11646, 48982}, {12367, 43460}, {14165, 57487}, {14357, 47326}, {14694, 46986}, {14731, 18867}, {16080, 34568}, {16303, 44216}, {16310, 40996}, {16321, 50707}, {18311, 23992}, {18320, 44769}, {18907, 44649}, {20975, 53575}, {21906, 45212}, {23288, 51258}, {25328, 31127}, {26451, 44673}, {29181, 57611}, {31173, 46067}, {32269, 57627}, {32458, 36792}, {33228, 52756}, {33927, 47348}, {34212, 60040}, {35345, 45662}, {35442, 53577}, {35520, 54395}, {35923, 44526}, {40885, 47275}, {44576, 58875}, {47228, 50188}, {53161, 62508}, {53329, 56962}, {53348, 53493}, {54837, 59145}, {62335, 62347}

X(62551) = midpoint of X(i) and X(j) for these {i,j}: {1494, 51228}, {35520, 54395}
X(62551) = reflection of X(i) in X(j) for these {i,j}: {2407, 24975}, {45331, 2}
X(62551) = isotomic conjugate of X(39295)
X(62551) = complement of X(2407)
X(62551) = anticomplement of X(24975)
X(62551) = complement of the isogonal conjugate of X(2433)
X(62551) = complement of the isotomic conjugate of X(2394)
X(62551) = isotomic conjugate of the isogonal conjugate of X(2088)
X(62551) = isotomic conjugate of the polar conjugate of X(35235)
X(62551) = polar conjugate of the isogonal conjugate of X(16186)
X(62551) = X(i)-complementary conjugate of X(j) for these (i,j): {19, 57128}, {31, 5664}, {74, 4369}, {163, 31945}, {213, 57046}, {661, 113}, {798, 3163}, {1400, 57095}, {1402, 57228}, {1494, 42327}, {1973, 14401}, {2159, 523}, {2349, 512}, {2394, 2887}, {2433, 10}, {2624, 31378}, {3708, 16177}, {8749, 8062}, {12079, 21253}, {14380, 18589}, {16080, 21259}, {18808, 20305}, {32640, 16598}, {32695, 23998}, {32715, 16599}, {33805, 23301}, {36034, 620}, {36119, 30476}, {36131, 5972}, {40352, 14838}, {40354, 16612}, {44769, 21254}
X(62551) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 5664}, {95, 62173}, {323, 41078}, {340, 526}, {1494, 523}, {2986, 525}, {3260, 55121}, {3936, 32679}, {7799, 3268}, {9141, 690}, {11078, 23871}, {11092, 23870}, {14165, 44427}, {20573, 850}, {37802, 8552}, {41804, 6370}, {54837, 2394}, {55032, 512}, {57829, 15470}, {60251, 57066}
X(62551) = X(i)-isoconjugate of X(j) for these (i,j): {31, 39295}, {94, 23995}, {110, 32678}, {112, 36061}, {162, 32662}, {163, 476}, {661, 58979}, {662, 14560}, {1101, 1989}, {1576, 32680}, {2166, 23357}, {2173, 15395}, {6149, 23588}, {6742, 32671}, {8818, 9274}, {11060, 24041}, {14559, 36142}, {24000, 50433}, {32661, 36129}, {32676, 60053}, {34072, 46155}, {36034, 41392}
X(62551) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 39295}, {115, 476}, {125, 32662}, {244, 32678}, {523, 1989}, {526, 50}, {647, 265}, {1084, 14560}, {1637, 30}, {1649, 56395}, {2088, 15329}, {2501, 52415}, {3005, 11060}, {3258, 41392}, {3268, 7809}, {3700, 6740}, {4858, 32680}, {5664, 2}, {6334, 3580}, {8287, 37140}, {8552, 11064}, {8562, 56404}, {10413, 47053}, {11597, 23357}, {14401, 51254}, {14838, 24624}, {14993, 23588}, {15295, 23966}, {15449, 46155}, {15526, 60053}, {16221, 112}, {17433, 1625}, {18314, 94}, {18334, 110}, {23285, 328}, {23870, 11092}, {23871, 11078}, {23992, 14559}, {34544, 1101}, {34591, 36061}, {35443, 14}, {35444, 13}, {36830, 58979}, {36896, 15395}, {36901, 35139}, {38993, 5994}, {38994, 5995}, {39021, 41512}, {40604, 249}, {43961, 23896}, {43962, 23895}, {47230, 403}, {47898, 36309}, {47899, 36306}, {52584, 18883}, {55071, 14966}, {55267, 14356}, {57295, 56399}, {60342, 6}
X(62551) = cevapoint of X(2088) and X(16186)
X(62551) = trilinear pole of line {3258, 53132}
X(62551) = crossdifference of every pair of points on line {512, 1576}
X(62551) = barycentric product X(i)*X(j) for these {i,j}: {50, 23962}, {69, 35235}, {76, 2088}, {115, 7799}, {125, 340}, {186, 339}, {264, 16186}, {298, 30468}, {299, 30465}, {300, 52343}, {301, 52342}, {320, 21054}, {323, 338}, {523, 3268}, {525, 44427}, {526, 850}, {758, 17886}, {1273, 8901}, {1494, 3258}, {1577, 32679}, {1989, 23965}, {2394, 5664}, {2501, 45792}, {2610, 18160}, {2611, 35550}, {2624, 20948}, {2970, 52437}, {3260, 56792}, {3267, 47230}, {3936, 8287}, {4089, 7206}, {4467, 6370}, {4707, 7265}, {5466, 45808}, {5641, 53132}, {6148, 12079}, {6149, 23994}, {6741, 41804}, {7202, 61410}, {8552, 14618}, {9213, 35522}, {10411, 23105}, {11078, 43961}, {11092, 43962}, {14165, 15526}, {14270, 44173}, {14355, 62431}, {14918, 53576}, {15412, 41078}, {16221, 57829}, {16732, 42701}, {18334, 20573}, {20902, 52414}, {20924, 21824}, {23870, 23871}, {34767, 62172}, {36793, 52418}, {39495, 56981}, {44814, 52632}
X(62551) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 39295}, {50, 23357}, {74, 15395}, {110, 58979}, {115, 1989}, {125, 265}, {136, 52415}, {186, 250}, {323, 249}, {338, 94}, {339, 328}, {340, 18020}, {512, 14560}, {523, 476}, {525, 60053}, {526, 110}, {647, 32662}, {656, 36061}, {661, 32678}, {690, 14559}, {826, 46155}, {850, 35139}, {868, 14356}, {1109, 2166}, {1577, 32680}, {1637, 41392}, {1640, 23968}, {1648, 56395}, {1650, 51254}, {1989, 23588}, {2081, 1625}, {2088, 6}, {2394, 39290}, {2411, 30528}, {2605, 36069}, {2611, 759}, {2624, 163}, {2970, 6344}, {3124, 11060}, {3258, 30}, {3268, 99}, {3269, 50433}, {5489, 43083}, {5664, 2407}, {6070, 34209}, {6137, 5994}, {6138, 5995}, {6149, 1101}, {6370, 6742}, {6741, 6740}, {7265, 47318}, {7799, 4590}, {8029, 15475}, {8287, 24624}, {8552, 4558}, {8562, 47053}, {8754, 18384}, {8901, 1141}, {9213, 691}, {10411, 59152}, {10413, 56404}, {11060, 23966}, {11078, 57579}, {11092, 57580}, {12079, 5627}, {14165, 23582}, {14270, 1576}, {14355, 57742}, {14590, 47443}, {14618, 46456}, {14838, 37140}, {14998, 23969}, {15453, 35189}, {15470, 10420}, {16186, 3}, {16221, 403}, {17104, 9274}, {17886, 14616}, {18334, 50}, {18593, 35049}, {19223, 20123}, {19627, 23963}, {20573, 57546}, {20975, 52153}, {20982, 34079}, {21054, 80}, {21824, 2161}, {22094, 57736}, {22115, 47390}, {23105, 10412}, {23108, 62173}, {23283, 36839}, {23284, 36840}, {23870, 23896}, {23871, 23895}, {23962, 20573}, {23965, 7799}, {24006, 36129}, {30460, 36211}, {30463, 36210}, {30465, 14}, {30467, 30469}, {30468, 13}, {30470, 30466}, {32679, 662}, {34397, 57655}, {35235, 4}, {36189, 53768}, {39495, 56980}, {40214, 9273}, {41078, 14570}, {42701, 4567}, {43961, 11092}, {43962, 11078}, {44427, 648}, {44814, 5467}, {45792, 4563}, {45808, 5468}, {47230, 112}, {47414, 3284}, {51663, 26700}, {52342, 16}, {52343, 15}, {52418, 23964}, {52628, 43084}, {52743, 2420}, {53132, 542}, {53524, 52380}, {53527, 13486}, {55071, 47049}, {55121, 41512}, {55130, 7471}, {56792, 74}, {58261, 14254}, {60009, 38414}, {60010, 38413}, {60342, 15329}, {60777, 2715}, {62172, 4240}, {62173, 52603}
X(62551) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 69, 40879}, {2, 2407, 24975}, {141, 18122, 2}, {2407, 24975, 45331}

X(62552) = X(2)-CEVA CONJUGATE OF X(27918)

X(62552) lies on these lines: {2, 650}, {10, 514}, {120, 2977}, {348, 3669}, {513, 3789}, {524, 53535}, {649, 56509}, {659, 812}, {661, 1211}, {824, 24326}, {884, 1001}, {905, 2275}, {918, 2254}, {1577, 16589}, {1643, 17023}, {1734, 12782}, {2526, 47945}, {3004, 4988}, {3177, 4462}, {3452, 3835}, {3496, 4063}, {3762, 6184}, {4140, 21225}, {4148, 43041}, {4364, 24457}, {4380, 50452}, {4391, 6376}, {4560, 16705}, {4728, 6009}, {4776, 31992}, {4777, 24357}, {4785, 50358}, {4804, 50347}, {5257, 23810}, {5698, 6008}, {6002, 37425}, {6548, 47880}, {6554, 20317}, {7212, 27951}, {8760, 36474}, {9015, 55969}, {9318, 24410}, {9320, 56542}, {14077, 36479}, {14475, 47784}, {16751, 18601}, {17080, 43051}, {17496, 21226}, {17920, 17924}, {20949, 23739}, {20954, 21960}, {21204, 48399}, {21530, 52599}, {22325, 50487}, {24141, 42462}, {24331, 48295}, {27345, 52358}, {27918, 39786}, {28651, 47675}, {28840, 49717}, {28846, 50359}, {28859, 47946}, {28878, 48073}, {28882, 47885}, {28894, 47693}, {28898, 49447}, {29066, 36480}, {30520, 50335}, {35092, 35094}, {36531, 47724}, {36534, 47729}, {40627, 48131}, {44009, 48548}, {45666, 48090}, {47666, 48095}, {47831, 48226}, {48094, 50454}, {48098, 48191}, {51989, 62324}

X(62552) = reflection of X(i) in X(j) for these {i,j}: {4010, 4486}, {4375, 27929}, {4444, 25381}, {24457, 4364}
X(62552) = complement of the isogonal conjugate of X(2284)
X(62552) = complement of the isotomic conjugate of X(42720)
X(62552) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {2113, 150}, {18264, 39362}, {18783, 149}, {41528, 4440}
X(62552) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 27918}, {41, 17435}, {100, 20335}, {101, 518}, {190, 20544}, {241, 17059}, {518, 116}, {672, 11}, {692, 3008}, {883, 17046}, {1025, 2886}, {1026, 141}, {1110, 918}, {1252, 3716}, {1458, 4904}, {2149, 676}, {2223, 1086}, {2283, 142}, {2284, 10}, {2340, 26932}, {2428, 4847}, {3286, 17761}, {3693, 124}, {3912, 21252}, {3930, 125}, {3932, 21253}, {3939, 34852}, {4238, 34830}, {4564, 926}, {4570, 24285}, {7084, 62429}, {9454, 1015}, {9455, 6377}, {14439, 3259}, {18206, 53564}, {20683, 8287}, {20752, 2968}, {32739, 3290}, {39258, 115}, {41353, 21258}, {42079, 35094}, {42720, 2887}, {46388, 46101}, {52635, 3756}, {53552, 5519}, {54325, 2}, {54353, 3739}
X(62552) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 27918}, {257, 17435}, {274, 62429}, {514, 918}, {668, 518}, {693, 4010}, {4554, 350}, {30610, 33891}, {32041, 3797}, {54118, 4037}
X(62552) = X(i)-isoconjugate of X(j) for these (i,j): {100, 51866}, {101, 52030}, {105, 813}, {291, 919}, {292, 36086}, {335, 32666}, {660, 1438}, {666, 1911}, {673, 34067}, {692, 52209}, {927, 51858}, {1415, 33676}, {1922, 51560}, {3572, 5377}, {4584, 56853}, {4876, 32735}, {5378, 43929}, {7077, 36146}, {14598, 36803}, {18265, 34085}
X(62552) = X(i)-Dao conjugate of X(j) for these (i,j): {665, 513}, {1015, 52030}, {1086, 52209}, {1146, 33676}, {2238, 100}, {3716, 650}, {3912, 190}, {6184, 660}, {6651, 666}, {8054, 51866}, {17435, 22116}, {17755, 4562}, {18277, 36803}, {19557, 36086}, {27918, 2}, {35094, 335}, {35119, 673}, {38980, 291}, {38989, 292}, {39014, 7077}, {39028, 51560}, {39029, 919}, {39046, 813}, {40623, 105}
X(62552) = crossdifference of every pair of points on line {292, 1438}
X(62552) = barycentric product X(i)*X(j) for these {i,j}: {239, 918}, {350, 2254}, {514, 17755}, {518, 3766}, {522, 39775}, {659, 3263}, {665, 1921}, {668, 38989}, {693, 8299}, {740, 23829}, {812, 3912}, {874, 3675}, {883, 4124}, {926, 18033}, {1447, 50333}, {3573, 62429}, {3685, 43042}, {3716, 9436}, {3717, 43041}, {3975, 53544}, {4010, 30941}, {4087, 53539}, {4088, 33295}, {4375, 40217}, {4391, 34253}, {4435, 40704}, {4444, 27919}, {6654, 53583}, {15149, 24459}, {18157, 21832}, {20778, 46107}, {22116, 27855}, {24290, 30940}, {27918, 42720}, {27951, 40781}, {35519, 51329}, {39786, 55260}, {40717, 53550}
X(62552) = barycentric quotient X(i)/X(j) for these {i,j}: {238, 36086}, {239, 666}, {350, 51560}, {513, 52030}, {514, 52209}, {518, 660}, {522, 33676}, {649, 51866}, {659, 105}, {665, 292}, {672, 813}, {812, 673}, {918, 335}, {926, 7077}, {1026, 5378}, {1428, 32735}, {1429, 36146}, {1447, 927}, {1914, 919}, {1921, 36803}, {2210, 32666}, {2223, 34067}, {2254, 291}, {3126, 22116}, {3263, 4583}, {3573, 5377}, {3675, 876}, {3685, 36802}, {3716, 14942}, {3717, 36801}, {3766, 2481}, {3912, 4562}, {4010, 13576}, {4088, 43534}, {4124, 885}, {4148, 6559}, {4375, 6654}, {4435, 294}, {4455, 56853}, {4839, 14625}, {8299, 100}, {8632, 1438}, {8638, 18265}, {10030, 34085}, {14433, 36816}, {17755, 190}, {18033, 46135}, {18157, 4639}, {18206, 4584}, {20778, 1331}, {21832, 18785}, {22384, 36057}, {23829, 18827}, {27846, 1027}, {27919, 3570}, {30665, 52029}, {30941, 4589}, {34253, 651}, {38989, 513}, {39775, 664}, {39786, 55261}, {43041, 56783}, {43042, 7233}, {46388, 51858}, {50333, 4518}, {51329, 109}, {53550, 295}, {53553, 18787}, {53583, 40217}
X(62552) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1491, 48103, 4824}, {1491, 48143, 48007}, {4375, 27929, 4448}, {4444, 25381, 36848}

X(62553) = X(2)-CEVA CONJUGATE OF X(3948)

X(62553) lies on the cubic K996 and these lines: {2, 1978}, {8, 52658}, {10, 38995}, {39, 40034}, {75, 141}, {192, 646}, {239, 1966}, {244, 3741}, {304, 30054}, {321, 20433}, {350, 56655}, {668, 33888}, {670, 37128}, {700, 2228}, {726, 52043}, {740, 20356}, {812, 3766}, {874, 4366}, {1368, 2968}, {1575, 35538}, {1921, 3797}, {1999, 19816}, {3125, 30026}, {3666, 59570}, {3739, 26979}, {3912, 20501}, {4087, 33891}, {4699, 10472}, {4858, 18697}, {5515, 20551}, {6374, 24598}, {6376, 27481}, {6383, 24621}, {6651, 39044}, {16586, 27951}, {17760, 20899}, {17793, 20681}, {18149, 19804}, {20332, 24502}, {20335, 20440}, {20345, 41842}, {20431, 20432}, {20484, 20542}, {20496, 53600}, {20892, 20895}, {20936, 41771}, {21248, 30179}, {21433, 52882}, {21435, 29960}, {21830, 27044}, {23688, 59565}, {27076, 27808}, {29974, 33939}, {31348, 62234}, {34021, 40773}

X(62553) = midpoint of X(75) and X(4033)
X(62553) = complement of X(27809)
X(62553) = isotomic conjugate of the isogonal conjugate of X(17475)
X(62553) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 3948}, {58, 20530}, {81, 20340}, {86, 20549}, {662, 6373}, {726, 21245}, {1333, 726}, {1463, 17052}, {1575, 3454}, {3009, 1211}, {3837, 21253}, {6373, 8287}, {17475, 45162}, {18268, 40533}, {18792, 141}, {20663, 46842}, {20777, 440}, {20785, 21530}, {20908, 53575}, {21760, 1213}, {22092, 34846}, {51864, 21024}, {57129, 27846}
X(62553) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 3948}, {75, 726}, {670, 6373}, {1978, 3766}
X(62553) = X(i)-isoconjugate of X(j) for these (i,j): {291, 34077}, {292, 727}, {813, 23355}, {1911, 20332}, {1922, 3226}, {3253, 51856}, {14598, 32020}, {18268, 18793}
X(62553) = X(i)-Dao conjugate of X(j) for these (i,j): {75, 33680}, {726, 52656}, {1575, 1}, {1966, 3253}, {3837, 1015}, {3948, 2}, {6651, 20332}, {17793, 292}, {18277, 32020}, {19557, 727}, {20532, 291}, {22116, 52205}, {27846, 649}, {35068, 18793}, {39028, 3226}, {39029, 34077}, {40623, 23355}
X(62553) = barycentric product X(i)*X(j) for these {i,j}: {75, 17793}, {76, 17475}, {238, 35538}, {239, 52043}, {310, 20681}, {350, 726}, {561, 20663}, {874, 3837}, {1463, 4087}, {1575, 1921}, {1969, 20750}, {3009, 18891}, {3570, 20908}, {3596, 8850}, {3766, 23354}, {3975, 43040}, {6376, 56663}, {18277, 40782}, {18792, 35544}, {21760, 44169}, {52656, 56660}
X(62553) = barycentric quotient X(i)/X(j) for these {i,j}: {238, 727}, {239, 20332}, {350, 3226}, {659, 23355}, {726, 291}, {740, 18793}, {874, 8709}, {1575, 292}, {1914, 34077}, {1921, 32020}, {3009, 1911}, {3685, 8851}, {3837, 876}, {3948, 27809}, {3975, 36799}, {6373, 875}, {6376, 33680}, {8850, 56}, {17475, 6}, {17793, 1}, {18792, 741}, {19579, 40755}, {20532, 52656}, {20663, 31}, {20681, 42}, {20750, 48}, {20785, 2196}, {20908, 4444}, {21760, 1922}, {23354, 660}, {35538, 334}, {38367, 1919}, {39044, 3253}, {52043, 335}, {52656, 52205}, {56663, 87}, {59724, 40794}
X(62553) = {X(1921),X(3797)}-harmonic conjugate of X(3948)

X(62554) = X(2)-CEVA CONJUGATE OF X(105)

X(62554) lies on these lines: {2, 56899}, {105, 910}, {294, 3008}, {650, 57116}, {666, 3263}, {4071, 40869}, {5089, 8751}, {5276, 9318}, {5452, 51961}, {10712, 35113}, {16588, 36258}, {56900, 57494}

X(62554) = complement of the isogonal conjugate of X(20468)
X(62554) = complement of the isotomic conjugate of X(20344)
X(62554) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 105}, {16550, 141}, {20344, 2887}, {20445, 626}, {20468, 10}, {20495, 21245}, {20516, 21252}, {20714, 3454}, {20740, 18589}
X(62554) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 105}, {56899, 294}
X(62554) = X(3912)-isoconjugate of X(34183)
X(62554) = X(105)-Dao conjugate of X(2)
X(62554) = barycentric product X(i)*X(j) for these {i,j}: {105, 20344}, {673, 16550}, {1438, 20445}, {2481, 20468}, {20516, 36086}, {20740, 54235}
X(62554) = barycentric quotient X(i)/X(j) for these {i,j}: {16550, 3912}, {20344, 3263}, {20468, 518}, {20714, 3932}, {20740, 25083}
X(62554) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3290, 41934, 105}, {3290, 51922, 41934}

X(62555) = X(99)-CEVA CONJUGATE OF X(325)

X(62555) lies on the Kiepert parabola and these lines: {2, 2419}, {22, 669}, {69, 523}, {76, 5489}, {99, 6035}, {141, 62384}, {297, 55275}, {311, 3267}, {316, 58346}, {325, 23350}, {525, 2395}, {850, 2528}, {868, 62431}, {877, 2396}, {1225, 15415}, {1649, 3268}, {2394, 52713}, {2407, 18311}, {2799, 3569}, {3233, 5468}, {5466, 60201}, {5664, 6390}, {8371, 30474}, {9168, 38918}, {9479, 19571}, {9723, 57069}, {10190, 58766}, {11185, 42733}, {15589, 53383}, {20403, 24974}, {23642, 23881}, {41298, 42052}, {44010, 46944}

X(62555) = reflection of X(62384) in X(141)
X(62555) = isotomic conjugate of X(41173)
X(62555) = isotomic conjugate of the isogonal conjugate of X(41167)
X(62555) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {9473, 21294}, {34130, 21221}
X(62555) = X(i)-Ceva conjugate of X(j) for these (i,j): {99, 325}, {32458, 35088}
X(62555) = X(i)-isoconjugate of X(j) for these (i,j): {31, 41173}, {163, 41932}, {248, 36104}, {293, 32696}, {798, 57562}, {1910, 2715}, {1933, 18858}, {1976, 36084}, {14601, 36036}, {32676, 47388}, {36132, 51542}
X(62555) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 41173}, {115, 41932}, {132, 32696}, {230, 60504}, {338, 60594}, {441, 60506}, {511, 1576}, {868, 51820}, {2679, 14601}, {2799, 523}, {5976, 2966}, {11672, 2715}, {15526, 47388}, {31998, 57562}, {34349, 45801}, {35088, 98}, {36901, 34536}, {38970, 6531}, {38987, 1976}, {39000, 248}, {39009, 51542}, {39039, 36104}, {39040, 36084}, {41167, 878}, {41172, 6}, {55267, 2395}, {57294, 14575}, {62431, 41760}
X(62555) = trilinear pole of line {35088, 59805}
X(62555) = crossdifference of every pair of points on line {1692, 1976}
X(62555) = barycentric product X(i)*X(j) for these {i,j}: {76, 41167}, {99, 35088}, {297, 6333}, {325, 2799}, {338, 15631}, {523, 32458}, {670, 59805}, {684, 44132}, {850, 36790}, {868, 2396}, {1502, 58262}, {2421, 62431}, {2967, 3267}, {3265, 36426}, {6393, 16230}, {11672, 44173}, {20948, 23996}, {46052, 57991}, {46888, 56981}, {51334, 52617}
X(62555) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 41173}, {99, 57562}, {114, 60504}, {232, 32696}, {240, 36104}, {297, 685}, {325, 2966}, {511, 2715}, {523, 41932}, {525, 47388}, {684, 248}, {850, 34536}, {868, 2395}, {877, 60179}, {1916, 18858}, {1959, 36084}, {2396, 57991}, {2421, 57742}, {2491, 14601}, {2799, 98}, {2967, 112}, {3569, 1976}, {6333, 287}, {6393, 17932}, {6530, 20031}, {9419, 14574}, {11672, 1576}, {15595, 60506}, {15631, 249}, {16230, 6531}, {17994, 57260}, {18314, 60594}, {23098, 14966}, {23996, 163}, {32458, 99}, {33569, 34396}, {35088, 523}, {36212, 43754}, {36426, 107}, {36790, 110}, {39469, 14600}, {41167, 6}, {41172, 878}, {44114, 2422}, {44132, 22456}, {44173, 57541}, {46052, 868}, {46238, 36036}, {46787, 53691}, {46807, 6037}, {46888, 56980}, {51334, 32713}, {51429, 52038}, {51543, 32716}, {55267, 51820}, {58262, 32}, {59805, 512}, {62431, 43665}

X(62556) = X(190)-CEVA CONJUGATE OF X(3006)

X(62556) lies on the Yff parabola and these lines: {69, 514}, {649, 1759}, {3239, 21201}, {4024, 21070}, {4707, 53583}, {23757, 53582}

X(62556) = X(190)-Ceva conjugate of X(3006)
X(62556) = X(2224)-isoconjugate of X(32682)
X(62556) = X(i)-Dao conjugate of X(j) for these (i,j): {674, 32739}, {23887, 514}
X(62556) = barycentric product X(3006)*X(23887)
X(62556) = barycentric quotient X(i)/X(j) for these {i,j}: {674, 32682}, {23887, 675}, {57015, 36087}

X(62557) = X(2)-CEVA CONJUGATE OF X(335)

X(62557) lies on these lines: {2, 40794}, {239, 292}, {291, 6542}, {334, 3948}, {335, 726}, {1911, 3507}, {1931, 4589}, {3252, 19584}, {3661, 22116}, {4583, 52043}, {6651, 9470}, {17230, 40217}, {17266, 52209}, {27481, 52656}, {29674, 52085}, {31349, 35123}

X(62557) = complement of the isogonal conjugate of X(52127)
X(62557) = complement of the isotomic conjugate of X(33888)
X(62557) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 335}, {2108, 141}, {20797, 18589}, {25381, 21252}, {27920, 20542}, {33888, 2887}, {52127, 10}, {52151, 626}
X(62557) = X(2)-Ceva conjugate of X(335)
X(62557) = X(238)-isoconjugate of X(2109)
X(62557) = X(i)-Dao conjugate of X(j) for these (i,j): {335, 2}, {9470, 2109}
X(62557) = barycentric product X(i)*X(j) for these {i,j}: {291, 52151}, {334, 2108}, {335, 33888}, {4562, 25381}, {18895, 52127}, {27920, 40098}, {33679, 52656}
X(62557) = barycentric quotient X(i)/X(j) for these {i,j}: {292, 2109}, {2108, 238}, {20797, 7193}, {25381, 812}, {27920, 4366}, {33888, 239}, {52127, 1914}, {52151, 350}
X(62557) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3797, 30663, 335}, {3912, 40098, 335}

X(62558) = X(2)-CEVA CONJUGATE OF X(27846)

X(62558) lies on these lines: {2, 649}, {9, 20979}, {37, 513}, {192, 9294}, {238, 59488}, {514, 27481}, {661, 21838}, {798, 1213}, {812, 3766}, {1125, 3249}, {1281, 39059}, {1635, 14434}, {1646, 38979}, {3662, 21191}, {3768, 4370}, {4010, 46387}, {4063, 22224}, {4164, 8632}, {4368, 40614}, {4790, 38238}, {4979, 8027}, {5513, 20551}, {6373, 20681}, {16593, 20343}, {16738, 17217}, {16779, 23472}, {17458, 49509}, {20954, 24732}, {23892, 25055}, {24719, 46386}, {26979, 42327}, {27846, 38989}, {28470, 57050}, {44008, 48544}, {45882, 48050}

X(62558) = reflection of X(27855) in X(27854)
X(62558) = complement of the isotomic conjugate of X(23354)
X(62558) = isotomic conjugate of the isogonal conjugate of X(38367)
X(62558) = X(18795)-anticomplementary conjugate of X(150)
X(62558) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 27846}, {100, 20340}, {101, 20530}, {190, 20549}, {692, 726}, {726, 21252}, {765, 6373}, {1463, 17059}, {1575, 116}, {3009, 11}, {18792, 53564}, {20663, 38989}, {20777, 2968}, {21760, 1086}, {21830, 8287}, {23354, 2887}, {34067, 40533}, {54325, 22116}
X(62558) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 27846}, {190, 726}, {513, 6373}, {649, 21832}, {4598, 239}, {53648, 3783}
X(62558) = X(i)-isoconjugate of X(j) for these (i,j): {292, 8709}, {660, 20332}, {727, 4562}, {813, 3226}, {1922, 54985}, {4583, 34077}, {4584, 18793}, {32020, 34067}, {33680, 34071}
X(62558) = X(i)-Dao conjugate of X(j) for these (i,j): {1575, 668}, {3837, 514}, {3948, 1978}, {17793, 4562}, {19557, 8709}, {20532, 4583}, {27846, 2}, {35119, 32020}, {39028, 54985}, {40610, 33680}, {40623, 3226}
X(62558) = crossdifference of every pair of points on line {238, 660}
X(62558) = X(59488)-line conjugate of X(238)
X(62558) = barycentric product X(i)*X(j) for these {i,j}: {76, 38367}, {238, 3837}, {350, 6373}, {513, 17793}, {514, 17475}, {522, 8850}, {649, 62553}, {659, 726}, {693, 20663}, {812, 1575}, {874, 52633}, {1463, 3716}, {1914, 20908}, {3009, 3766}, {3573, 21140}, {4010, 18792}, {4083, 56663}, {4375, 52656}, {4435, 43040}, {4448, 36814}, {7192, 20681}, {8632, 52043}, {17924, 20750}, {23354, 27846}, {27855, 40155}
X(62558) = barycentric quotient X(i)/X(j) for these {i,j}: {238, 8709}, {350, 54985}, {659, 3226}, {726, 4583}, {812, 32020}, {1575, 4562}, {3009, 660}, {3837, 334}, {4083, 33680}, {4435, 36799}, {4455, 18793}, {6373, 291}, {8632, 20332}, {8850, 664}, {17475, 190}, {17793, 668}, {18792, 4589}, {20663, 100}, {20681, 3952}, {20750, 1332}, {20908, 18895}, {21760, 813}, {21832, 27809}, {38367, 6}, {52633, 876}, {56663, 18830}, {62553, 1978}
X(62558) = {X(27854),X(27855)}-harmonic conjugate of X(14433)

X(62559) = X(2)-CEVA CONJUGATE OF X(21129)

X(62559) lies on these lines: {2, 2415}, {1086, 1358}, {2885, 24443}, {3120, 5510}, {5516, 16185}, {12640, 23536}

X(62559) = complement of X(2415)
X(62559) = complement of the isogonal conjugate of X(2441)
X(62559) = complement of the isotomic conjugate of X(2403)
X(62559) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 21129}, {2403, 2887}, {2441, 10}, {4394, 121}, {8643, 16594}, {9456, 3667}, {23345, 21255}, {31227, 21260}, {32719, 25097}
X(62559) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 21129}, {903, 3667}, {3264, 55138}
X(62559) = X(6079)-isoconjugate of X(34080)
X(62559) = X(i)-Dao conjugate of X(j) for these (i,j): {4521, 1120}, {14425, 519}, {16594, 5382}, {21129, 2}, {40621, 6079}
X(62559) = crossdifference of every pair of points on line {3939, 8643}
X(62559) = barycentric product X(i)*X(j) for these {i,j}: {903, 5516}, {1266, 3756}, {2403, 21129}, {3667, 4927}, {16711, 21950}, {23764, 61186}, {40617, 62297}
X(62559) = barycentric quotient X(i)/X(j) for these {i,j}: {3667, 6079}, {3756, 1120}, {4927, 53647}, {5516, 519}, {6085, 1293}, {16610, 5382}, {21129, 2415}, {23764, 23836}

X(62560) = X(2)-CEVA CONJUGATE OF X(6190)

X(62560) lies on on the Kiepert circumhyperbola of the medial triangle, the cubic K559, and these lines: {3, 47368}, {39, 51492}, {99, 1379}, {114, 6039}, {524, 2076}, {618, 47362}, {619, 47364}, {1649, 30508}, {2482, 6189}, {3414, 41134}, {8290, 51878}, {8591, 39022}, {38998, 46600}

X(62560) = midpoint of X(99) and X(57576)
X(62560) = reflection of X(6190) in X(57576)
X(62560) = complement of the isotomic conjugate of X(39366)
X(62560) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 6190}, {39366, 2887}
X(62560) = X(2)-Ceva conjugate of X(6190)
X(62560) = X(6190)-Dao conjugate of X(2)
X(62560) = barycentric product X(6190)*X(39366)
X(62560) = barycentric quotient X(39366)/X(3413)

X(62561) = X(2)-CEVA CONJUGATE OF X(6189)

X(62561) lies on the Kiepert circumhyperbola of the medial triangle, the cubic K559, and these lines: {3, 47367}, {39, 51493}, {99, 1380}, {114, 6040}, {524, 2076}, {618, 47361}, {619, 47363}, {1649, 30509}, {2482, 6190}, {3413, 41134}, {8290, 51876}, {8591, 39023}, {38998, 46601}

X(62561) = midpoint of X(99) and X(57575)
X(62561) = reflection of X(6189) in X(57575)
X(62561) = complement of the isotomic conjugate of X(39365)
X(62561) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 6189}, {39365, 2887}
X(62561) = X(2)-Ceva conjugate of X(6189)
X(62561) = X(6189)-Dao conjugate of X(2)
X(62561) = barycentric product X(6189)*X(39365)
X(62561) = barycentric quotient X(39365)/X(3414)

X(62562) = X(2)-CEVA CONJUGATE OF X(2395)

X(62562) lies on these lines: {2, 14265}, {98, 4226}, {290, 2396}, {868, 879}, {1316, 34156}, {5050, 5967}, {5652, 56788}, {15271, 36822}, {20021, 53166}, {35922, 36874}, {36163, 56688}, {40820, 46512}

X(62562) = complement of X(46606)
X(62562) = X(31)-complementary conjugate of X(2395)
X(62562) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 2395}, {14265, 879}
X(62562) = X(i)-isoconjugate of X(j) for these (i,j): {662, 43942}, {23997, 46606}
X(62562) = X(i)-Dao conjugate of X(j) for these (i,j): {1084, 43942}, {2395, 2}
X(62562) = barycentric quotient X(i)/X(j) for these {i,j}: {512, 43942}, {2395, 46606}

X(62563) = X(2)-CEVA CONJUGATE OF X(18311)

X(62563) lies on these lines: {2, 3}, {98, 10749}, {113, 15595}, {115, 127}, {122, 5512}, {125, 14672}, {265, 287}, {316, 10317}, {399, 40867}, {625, 14961}, {671, 34897}, {1648, 45327}, {2373, 8791}, {2394, 43673}, {3284, 31173}, {5099, 18311}, {5103, 14965}, {5139, 53822}, {5664, 35088}, {6033, 40866}, {7773, 22120}, {7825, 10316}, {9862, 48681}, {11161, 32272}, {11641, 39842}, {11656, 32275}, {12358, 55071}, {14639, 57332}, {14689, 39838}, {14977, 51258}, {15359, 45321}, {17413, 39691}, {19662, 32257}, {23293, 38523}, {24975, 56389}, {31275, 40349}, {34217, 39847}, {34334, 36426}, {34981, 47413}, {35071, 35132}, {35968, 53992}, {37801, 60002}, {37804, 57481}, {39845, 53273}, {44821, 53570}, {53419, 54075}

X(62563) = midpoint of X(671) and X(52094)
X(62563) = reflection of X(54380) in X(5)
X(62563) = complement of X(4235)
X(62563) = orthocentroidal-circle-inverse of X(40856)
X(62563) = polar-circle-inverse of X(46619)
X(62563) = complement of the isogonal conjugate of X(10097)
X(62563) = complement of the isotomic conjugate of X(14977)
X(62563) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 18311}, {48, 1649}, {111, 8062}, {647, 16597}, {656, 126}, {661, 5181}, {671, 21259}, {810, 2482}, {895, 4369}, {897, 30476}, {923, 525}, {1577, 34517}, {3708, 5099}, {5466, 20305}, {9178, 226}, {10097, 10}, {14908, 14838}, {14977, 2887}, {23894, 5}, {30786, 42327}, {32729, 16599}, {32740, 16612}, {36060, 523}, {36128, 520}, {36142, 5972}, {51258, 21253}
X(62563) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 18311}, {83, 57203}, {316, 9517}, {671, 525}, {2373, 523}, {9141, 9033}, {37765, 9979}, {37801, 2492}, {40410, 57127}
X(62563) = X(i)-isoconjugate of X(j) for these (i,j): {163, 935}, {250, 2157}, {656, 58980}, {1101, 8791}, {17708, 32676}, {23995, 46105}, {36142, 60503}
X(62563) = X(i)-Dao conjugate of X(j) for these (i,j): {115, 935}, {523, 8791}, {525, 34897}, {647, 67}, {2492, 468}, {5099, 112}, {9517, 10317}, {14417, 524}, {15526, 17708}, {18311, 2}, {18314, 46105}, {23285, 18019}, {23992, 60503}, {38971, 60507}, {40583, 250}, {40596, 58980}, {47138, 858}, {55048, 110}, {57295, 60496}
X(62563) = crossdifference of every pair of points on line {647, 1576}
X(62563) = barycentric product X(i)*X(j) for these {i,j}: {23, 339}, {115, 37804}, {125, 316}, {127, 37801}, {338, 22151}, {525, 9979}, {850, 9517}, {2373, 38971}, {2492, 3267}, {3708, 20944}, {4064, 21205}, {4466, 21094}, {5099, 30786}, {6333, 52076}, {6390, 10555}, {7664, 51258}, {8744, 36793}, {10317, 23962}, {10561, 45807}, {14977, 18311}, {15526, 37765}, {16568, 20902}, {18023, 47415}, {20975, 40074}, {35140, 57426}, {42659, 44173}, {52628, 57481}
X(62563) = barycentric quotient X(i)/X(j) for these {i,j}: {23, 250}, {112, 58980}, {115, 8791}, {125, 67}, {316, 18020}, {338, 46105}, {339, 18019}, {523, 935}, {525, 17708}, {690, 60503}, {2492, 112}, {3708, 2157}, {5099, 468}, {8744, 23964}, {9517, 110}, {9979, 648}, {10317, 23357}, {10555, 17983}, {15526, 34897}, {18311, 4235}, {18374, 57655}, {20944, 46254}, {20975, 3455}, {22151, 249}, {30491, 58953}, {33752, 4230}, {37765, 23582}, {37801, 44183}, {37804, 4590}, {38971, 858}, {42659, 1576}, {47138, 60507}, {47415, 187}, {51258, 10415}, {52076, 685}, {52628, 57496}, {52630, 47443}, {53569, 11605}, {55048, 10317}, {55142, 7473}, {55226, 55270}, {57426, 1503}, {58357, 47390}
X(62563) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4, 40856}, {2, 35923, 3}, {2, 37350, 46067}, {115, 127, 339}, {381, 11799, 11251}, {441, 37350, 10297}, {868, 1650, 37987}, {868, 3150, 57606}, {868, 14120, 57604}, {868, 36189, 35235}, {1650, 37987, 57606}, {2454, 2455, 37987}, {3150, 37987, 1650}, {5000, 5001, 57632}, {14041, 15013, 18403}, {14063, 28405, 18404}, {28407, 32966, 10255}, {28697, 33229, 18563}, {47612, 47613, 57607}

X(62564) = X(2)-CEVA CONJUGATE OF X(306)

X(62564) lies on these lines: {2, 3670}, {9, 321}, {27, 190}, {37, 5294}, {63, 20336}, {71, 52369}, {72, 306}, {333, 42714}, {464, 1265}, {1213, 4054}, {1331, 1999}, {1453, 11346}, {1724, 2901}, {1759, 15487}, {3151, 16086}, {3159, 40940}, {3161, 3995}, {3175, 4370}, {3198, 49991}, {3219, 56564}, {3294, 40181}, {3701, 56803}, {3717, 4463}, {3977, 3998}, {4115, 5513}, {5256, 41249}, {5295, 11113}, {11679, 35615}, {17755, 19791}, {17776, 22021}, {21061, 42707}, {22001, 61410}, {26941, 56189}, {27540, 38015}, {32777, 56541}

X(62564) = complement of X(39700)
X(62564) = complement of the isogonal conjugate of X(5301)
X(62564) = complement of the isotomic conjugate of X(3187)
X(62564) = isotomic conjugate of the polar conjugate of X(2901)
X(62564) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 306}, {32, 46838}, {692, 29013}, {1724, 141}, {2901, 21245}, {3187, 2887}, {5301, 10}, {18147, 626}, {29013, 21252}, {32739, 43060}, {42463, 18589}, {50329, 21253}
X(62564) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 306}, {190, 29013}
X(62564) = X(i)-isoconjugate of X(j) for these (i,j): {19, 15376}, {2203, 39700}, {29014, 57200}
X(62564) = X(i)-Dao conjugate of X(j) for these (i,j): {6, 15376}, {306, 2}
X(62564) = barycentric product X(i)*X(j) for these {i,j}: {69, 2901}, {72, 18147}, {190, 52599}, {306, 3187}, {313, 42463}, {1724, 20336}, {4561, 50329}, {5301, 40071}, {29013, 52609}
X(62564) = barycentric quotient X(i)/X(j) for these {i,j}: {3, 15376}, {306, 39700}, {1724, 28}, {2901, 4}, {3187, 27}, {3695, 56282}, {4574, 29014}, {5301, 1474}, {18147, 286}, {29013, 17925}, {42463, 58}, {50329, 7649}, {52599, 514}
X(62564) = {X(72),X(42706)}-harmonic conjugate of X(306)

X(62565) = X(2)-CEVA CONJUGATE OF X(307)

X(62565) lies on these lines: {1, 1441}, {29, 664}, {65, 50441}, {72, 307}, {78, 1231}, {223, 27413}, {224, 40719}, {226, 26605}, {1214, 22070}, {1813, 7176}, {3152, 16091}, {3160, 27382}, {6332, 59504}, {6505, 9312}, {8558, 46713}, {17056, 21049}, {40942, 59605}

X(62565) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 307}, {1754, 141}, {2175, 46839}, {3188, 17046}
X(62565) = X(2)-Ceva conjugate of X(307)
X(62565) = X(19)-isoconjugate of X(15393)
X(62565) = X(i)-Dao conjugate of X(j) for these (i,j): {6, 15393}, {307, 2}
X(62565) = barycentric product X(i)*X(j) for these {i,j}: {306, 3188}, {1231, 1754}
X(62565) = barycentric quotient X(i)/X(j) for these {i,j}: {3, 15393}, {1754, 1172}, {3188, 27}

X(62566) = X(2)-CEVA CONJUGATE OF X(21044)

X(62566) lies on these lines: {2, 56321}, {513, 53562}, {520, 51659}, {522, 663}, {523, 656}, {647, 4024}, {2610, 4988}, {3005, 53558}, {3120, 38982}, {3738, 21106}, {4036, 14429}, {4516, 7336}, {4620, 35154}, {4777, 6129}, {4814, 8058}, {6089, 50330}, {6362, 6615}, {6591, 48277}, {6608, 42337}, {7658, 21186}, {14353, 47887}, {17420, 21132}, {21044, 57463}, {21118, 21189}, {23755, 30604}, {23757, 28183}, {33525, 42462}, {35091, 53560}, {42768, 60342}, {48264, 57158}

X(62566) = reflection of X(i) in X(j) for these {i,j}: {21118, 21189}, {21132, 17420}, {23752, 53527}, {48264, 57158}, {48278, 20294}, {55282, 4017}
X(62566) = complement of X(56321)
X(62566) = complement of the isogonal conjugate of X(53324)
X(62566) = complement of the isotomic conjugate of X(17136)
X(62566) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {9398, 33650}, {9399, 3448}
X(62566) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 21044}, {1333, 24224}, {1415, 58463}, {1576, 25081}, {2646, 124}, {2650, 125}, {3664, 21252}, {17056, 21253}, {17136, 2887}, {18698, 53575}, {21748, 26932}, {22003, 21245}, {22361, 123}, {53324, 10}, {53388, 1329}
X(62566) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 21044}, {6354, 53560}, {22003, 21811}, {41501, 3120}, {55091, 11}
X(62566) = X(i)-isoconjugate of X(j) for these (i,j): {108, 57668}, {109, 40430}, {110, 17097}, {162, 40442}, {1415, 60235}
X(62566) = X(i)-Dao conjugate of X(j) for these (i,j): {11, 40430}, {125, 40442}, {244, 17097}, {1146, 60235}, {5745, 664}, {17056, 99}, {21044, 2}, {24224, 55096}, {37836, 109}, {38983, 57668}, {40626, 57833}, {59602, 4573}
X(62566) = crossdifference of every pair of points on line {284, 1400}
X(62566) = barycentric product X(i)*X(j) for these {i,j}: {8, 23755}, {11, 22003}, {407, 6332}, {514, 21677}, {522, 17056}, {523, 5745}, {525, 40950}, {650, 18698}, {693, 21811}, {850, 21748}, {1577, 2646}, {2650, 4391}, {3664, 3700}, {3737, 42708}, {4560, 21674}, {6737, 7178}, {14618, 22361}, {16732, 53388}, {17136, 21044}, {30604, 30608}, {35154, 41182}
X(62566) = barycentric quotient X(i)/X(j) for these {i,j}: {407, 653}, {522, 60235}, {647, 40442}, {650, 40430}, {652, 57668}, {661, 17097}, {2646, 662}, {2650, 651}, {3664, 4573}, {5745, 99}, {6332, 57833}, {6737, 645}, {17056, 664}, {17136, 4620}, {18698, 4554}, {21044, 56321}, {21674, 4552}, {21677, 190}, {21748, 110}, {21811, 100}, {22003, 4998}, {22361, 4558}, {23755, 7}, {30604, 5219}, {40950, 648}, {41182, 2785}, {53324, 52378}, {53388, 4567}

X(62567) = X(2)-CEVA CONJUGATE OF X(21950)

X(62567) lies on these lines: {523, 14429}, {647, 4120}, {3667, 4881}, {4778, 60493}, {4926, 31947}, {21196, 30764}

X(62567) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 21950}, {53598, 21252}
X(62567) = X(2)-Ceva conjugate of X(21950)
X(62567) = X(21950)-Dao conjugate of X(2)
X(62567) = crossdifference of every pair of points on line {7419, 17945}
X(62567) = barycentric product X(14321)*X(53598)

X(62568) = X(2)-CEVA CONJUGATE OF X(6791)

X(62568) lies on these lines: {2, 8599}, {125, 17416}, {512, 1649}, {523, 7625}, {647, 690}, {1499, 4786}, {2408, 11059}, {3258, 46657}, {3906, 4141}, {5094, 23288}, {5466, 42011}, {5996, 9168}, {8371, 55267}, {8562, 46953}, {9123, 13306}, {9185, 44560}, {9191, 23878}, {11156, 35275}, {23287, 31772}, {31654, 35133}, {32228, 32231}, {32473, 59927}, {34206, 52236}

X(62568) = midpoint of X(5996) and X(9168)
X(62568) = reflection of X(i) in X(j) for these {i,j}: {8644, 9125}, {9185, 44560}, {47587, 2}
X(62568) = complement of X(8599)
X(62568) = complement of the isogonal conjugate of X(9145)
X(62568) = complement of the isotomic conjugate of X(9146)
X(62568) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 6791}, {163, 597}, {574, 8287}, {599, 21253}, {1101, 3906}, {3908, 3454}, {9145, 10}, {9146, 2887}, {17414, 24040}, {32583, 4892}, {36263, 125}
X(62568) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 6791}, {523, 3906}
X(62568) = X(i)-isoconjugate of X(j) for these (i,j): {1296, 55927}, {1383, 37216}, {11636, 55923}, {36045, 51541}
X(62568) = X(i)-Dao conjugate of X(j) for these (i,j): {599, 99}, {6791, 2}, {8542, 1296}, {11147, 35138}, {11165, 35179}, {17413, 21448}, {17416, 5485}, {31654, 51541}, {35133, 598}
X(62568) = crossdifference of every pair of points on line {1383, 1384}
X(62568) = barycentric product X(i)*X(j) for these {i,j}: {523, 11165}, {599, 1499}, {1992, 3906}, {2408, 39785}, {6791, 9146}, {8644, 9464}, {9125, 42008}, {11059, 17414}, {14207, 36263}, {23288, 27088}
X(62568) = barycentric quotient X(i)/X(j) for these {i,j}: {574, 1296}, {599, 35179}, {1384, 11636}, {1499, 598}, {1992, 35138}, {2408, 18818}, {3906, 5485}, {6791, 8599}, {8644, 1383}, {9125, 51541}, {11165, 99}, {17414, 21448}, {36263, 37216}, {39785, 2418}, {50729, 35356}, {62412, 57467}

X(62569) = X(2)-CEVA CONJUGATE OF X(11064)

X(62569) lies on on the Kiepert circumhyperbola of the medial triangle and these lines: {2, 2986}, {3, 125}, {39, 6388}, {69, 14919}, {99, 16080}, {113, 34104}, {114, 468}, {115, 58416}, {122, 41673}, {235, 15665}, {343, 6509}, {542, 40352}, {684, 1649}, {686, 6334}, {1272, 46808}, {1553, 11799}, {1560, 14966}, {1637, 5664}, {1648, 47406}, {2407, 14920}, {2482, 39021}, {3003, 3580}, {3265, 50567}, {3284, 11064}, {5642, 51457}, {5976, 62310}, {6337, 37643}, {6503, 26958}, {7493, 7710}, {7752, 43462}, {11165, 59211}, {12827, 15329}, {13567, 34990}, {15819, 30739}, {16238, 34835}, {18607, 26932}, {32227, 52169}, {36190, 53569}

X(62569) = midpoint of X(99) and X(54925)
X(62569) = isogonal conjugate of X(40388)
X(62569) = complement of X(2986)
X(62569) = complement of the isogonal conjugate of X(3003)
X(62569) = complement of the isotomic conjugate of X(3580)
X(62569) = isotomic conjugate of the isogonal conjugate of X(47405)
X(62569) = isotomic conjugate of the polar conjugate of X(113)
X(62569) = X(i)-complementary conjugate of X(j) for these (i,j): {19, 13754}, {31, 11064}, {48, 10257}, {163, 55121}, {403, 20305}, {661, 3134}, {686, 34846}, {798, 2088}, {1725, 141}, {1755, 47049}, {1973, 16310}, {2148, 14156}, {2159, 6699}, {2173, 52010}, {2315, 3}, {2624, 56792}, {3003, 10}, {3580, 2887}, {9406, 56399}, {13754, 18589}, {15329, 4369}, {16237, 21259}, {18609, 3741}, {21731, 8287}, {44084, 226}, {51821, 18593}, {55121, 21253}, {60498, 4892}, {61188, 42327}, {61209, 8062}, {61372, 16577}, {62361, 34825}
X(62569) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 11064}, {69, 13754}, {99, 55121}, {4558, 41077}, {6148, 16163}
X(62569) = X(i)-isoconjugate of X(j) for these (i,j): {1, 40388}, {19, 10419}, {1300, 2159}, {1973, 40423}, {2433, 36114}, {8749, 36053}, {14910, 36119}, {15328, 36131}
X(62569) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 40388}, {6, 10419}, {30, 51965}, {113, 8749}, {1511, 14910}, {3003, 4}, {3163, 1300}, {3284, 38936}, {3580, 57487}, {6337, 40423}, {6699, 6128}, {11064, 2}, {16310, 56686}, {34834, 16080}, {38999, 61216}, {39005, 2433}, {39008, 15328}, {39021, 18808}, {39174, 40353}, {56399, 5627}
X(62569) = crossdifference of every pair of points on line {21731, 40352}
X(62569) = X(542)-line conjugate of X(40352)
X(62569) = barycentric product X(i)*X(j) for these {i,j}: {30, 62338}, {69, 113}, {76, 47405}, {2315, 46234}, {2407, 6334}, {3260, 13754}, {3580, 11064}, {4563, 55265}, {6148, 39170}, {9033, 61188}, {16237, 41077}, {34104, 57829}, {34333, 52552}, {34834, 57482}, {40697, 59497}, {44138, 51394}
X(62569) = barycentric quotient X(i)/X(j) for these {i,j}: {3, 10419}, {6, 40388}, {30, 1300}, {69, 40423}, {113, 4}, {131, 56686}, {686, 2433}, {1511, 38936}, {1531, 58942}, {1568, 60035}, {1636, 61216}, {1725, 36119}, {2315, 2159}, {2407, 687}, {2420, 32708}, {2931, 40392}, {3003, 8749}, {3163, 51965}, {3284, 14910}, {3580, 16080}, {4563, 55264}, {5504, 39379}, {6334, 2394}, {9033, 15328}, {11064, 2986}, {12825, 38937}, {13754, 74}, {14391, 35361}, {15329, 1304}, {16163, 15454}, {16237, 15459}, {34104, 403}, {34333, 14264}, {34834, 57487}, {39170, 5627}, {40948, 51895}, {41077, 15421}, {47405, 6}, {51254, 12028}, {51394, 5504}, {55121, 18808}, {55265, 2501}, {57482, 40427}, {58940, 22455}, {59497, 254}, {61188, 16077}, {61209, 32695}, {62172, 14222}, {62338, 1494}
X(62569) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {12827, 15329, 53568}, {40709, 40710, 6699}

X(62570) = X(2)-CEVA CONJUGATE OF X(1441)

X(62570) lies on these lines: {21, 18026}, {226, 17451}, {307, 1210}, {331, 2476}, {349, 20880}, {442, 1441}, {2275, 3772}, {2475, 16090}, {2478, 6604}, {2973, 6842}, {3160, 59508}, {3721, 4415}, {17080, 44737}, {20621, 56827}, {52673, 58798}, {59575, 59603}

X(62570) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 1441}, {18738, 626}, {22027, 21245}, {23171, 18589}, {23806, 21252}
X(62570) = X(2)-Ceva conjugate of X(1441)
X(62570) = X(1441)-Dao conjugate of X(2)
X(62570) = barycentric product X(i)*X(j) for these {i,j}: {85, 22027}, {226, 18738}, {23171, 52575}
X(62570) = barycentric quotient X(i)/X(j) for these {i,j}: {18738, 333}, {22027, 9}, {23171, 2193}, {23806, 3737}

X(62571) = X(2)-CEVA CONJUGATE OF X(4358)

X(62571) lies on these lines: {2, 4033}, {10, 244}, {75, 4080}, {88, 668}, {120, 3006}, {321, 3452}, {899, 17793}, {1086, 1211}, {1150, 61235}, {1635, 3762}, {1647, 4783}, {2968, 21530}, {3264, 3943}, {3687, 40624}, {3752, 40603}, {4010, 14434}, {4728, 62553}, {4850, 6376}, {6377, 16589}, {6554, 17740}, {13466, 52043}, {16610, 59519}, {17495, 26844}, {18150, 19804}, {20235, 21432}, {20888, 40619}, {24593, 25298}, {24620, 40598}, {29576, 60288}, {31271, 36805}, {39028, 62234}, {39044, 42721}, {39996, 42026}, {46722, 57023}, {59736, 59737}

X(62571) = complement of X(39698)
X(62571) = complement of the isotomic conjugate of X(17495)
X(62571) = X(i)-complementary conjugate of X(j) for these (i,j): {6, 49993}, {31, 4358}, {604, 1739}, {17495, 2887}, {23169, 18589}, {39995, 626}, {49997, 141}
X(62571) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 4358}, {4033, 3762}
X(62571) = X(4358)-Dao conjugate of X(2)
X(62571) = barycentric product X(i)*X(j) for these {i,j}: {75, 34587}, {519, 39995}, {3264, 49997}, {4358, 17495}
X(62571) = barycentric quotient X(i)/X(j) for these {i,j}: {3264, 40039}, {4358, 39698}, {17495, 88}, {17780, 53685}, {23169, 36058}, {34587, 1}, {39995, 903}, {49997, 106}, {52680, 59072}
X(62571) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {16594, 36791, 4358}, {16610, 59712, 62304}, {24589, 39994, 24183}

X(62572) = X(2)-CEVA CONJUGATE OF X(3268)

X(62572) lies on these lines: {325, 3233}, {339, 850}, {476, 5641}, {3258, 3268}, {3580, 44576}, {7809, 15107}, {9979, 35088}, {10545, 36831}, {14921, 41887}, {14922, 41888}, {23285, 36901}

X(62572) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 3268}, {661, 51360}, {7809, 42327}, {15107, 4369}, {18722, 512}, {38393, 21253}
X(62572) = X(2)-Ceva conjugate of X(3268)
X(62572) = X(3268)-Dao conjugate of X(2)
X(62572) = barycentric product X(i)*X(j) for these {i,j}: {7799, 38393}, {7809, 62551}
X(62572) = barycentric quotient X(i)/X(j) for these {i,j}: {7809, 39295}, {38393, 1989}
X(62572) = {X(3258),X(23965)}-harmonic conjugate of X(3268)

X(62573) = X(2)-CEVA CONJUGATE OF X(3265)

X(62573) lies on these lines: {2, 44766}, {69, 110}, {107, 35140}, {122, 3265}, {125, 339}, {127, 18187}, {136, 62431}, {343, 14994}, {394, 4121}, {3066, 15394}, {5976, 45201}, {11064, 51371}, {14580, 34138}, {15526, 55047}, {41673, 50567}

X(62573) = complement of X(44766)
X(62573) = complement of the isogonal conjugate of X(2485)
X(62573) = complement of the isotomic conjugate of X(33294)
X(62573) = isotomic conjugate of the isogonal conjugate of X(47413)
X(62573) = isotomic conjugate of the polar conjugate of X(127)
X(62573) = X(i)-complementary conjugate of X(j) for these (i,j): {19, 8673}, {22, 4369}, {31, 3265}, {206, 14838}, {315, 42327}, {512, 16580}, {523, 16607}, {649, 40959}, {661, 427}, {798, 32}, {822, 53852}, {1577, 6697}, {1760, 512}, {1973, 47125}, {2172, 523}, {2485, 10}, {4017, 18636}, {4150, 21260}, {4456, 513}, {4463, 3835}, {4611, 21254}, {7210, 17066}, {8673, 18589}, {8743, 8062}, {16757, 3741}, {17186, 31947}, {17409, 16612}, {17453, 647}, {17907, 21259}, {20641, 23301}, {21034, 650}, {21122, 3666}, {21178, 21240}, {32676, 6720}, {33294, 2887}, {38356, 34846}, {40073, 21263}, {46289, 23881}, {53569, 21253}, {55240, 9969}, {59932, 20305}
X(62573) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 3265}, {69, 8673}, {76, 23881}, {315, 57069}, {34254, 58359}, {35140, 55129}, {40421, 3267}
X(62573) = X(i)-isoconjugate of X(j) for these (i,j): {19, 15388}, {1289, 32676}, {1973, 44183}, {2156, 23964}, {2353, 24000}, {23999, 40146}
X(62573) = X(i)-Dao conjugate of X(j) for these (i,j): {6, 15388}, {32, 41937}, {127, 32713}, {525, 66}, {647, 13854}, {2485, 4}, {3265, 2}, {6337, 44183}, {8673, 206}, {15526, 1289}, {17434, 60495}, {23285, 43678}, {47125, 41361}, {55047, 112}, {58359, 1370}
X(62573) = barycentric product X(i)*X(j) for these {i,j}: {22, 36793}, {69, 127}, {76, 47413}, {125, 34254}, {305, 38356}, {315, 15526}, {339, 20806}, {525, 57069}, {850, 58359}, {1760, 17879}, {2485, 52617}, {2632, 20641}, {3265, 33294}, {3267, 8673}, {3269, 40073}, {3926, 53569}, {4143, 59932}, {4150, 17216}, {4563, 55273}, {5489, 55225}, {7068, 17076}, {18187, 20336}, {23107, 52915}, {23974, 52448}, {40421, 55047}
X(62573) = barycentric quotient X(i)/X(j) for these {i,j}: {3, 15388}, {22, 23964}, {69, 44183}, {125, 13854}, {127, 4}, {206, 41937}, {315, 23582}, {339, 43678}, {525, 1289}, {1760, 24000}, {2485, 32713}, {2632, 2156}, {2972, 60495}, {3265, 44766}, {3269, 2353}, {4563, 55272}, {8673, 112}, {10316, 57655}, {14396, 23347}, {15526, 66}, {16757, 52920}, {17907, 32230}, {18187, 28}, {20641, 23999}, {20806, 250}, {21178, 52919}, {23881, 46151}, {33294, 107}, {34254, 18020}, {36793, 18018}, {38356, 25}, {47413, 6}, {52448, 23590}, {52915, 59153}, {53569, 393}, {53822, 41361}, {55047, 206}, {55129, 23977}, {55273, 2501}, {57069, 648}, {58353, 58113}, {58359, 110}, {59932, 6529}
X(62573) = {X(122),X(23974)}-harmonic conjugate of X(3265)

X(62574) = X(2)-CEVA CONJUGATE OF X(330)

X(62574) lies on these lines: {2, 62419}, {75, 330}, {87, 4699}, {192, 18830}, {1278, 40881}, {2162, 23428}, {3551, 3662}, {4598, 17350}, {4740, 32033}, {10436, 40720}, {20258, 27429}, {23493, 25528}, {26135, 51575}

X(62574) = isotomic conjugate of X(43115)
X(62574) = complement of the isogonal conjugate of X(21780)
X(62574) = complement of the isotomic conjugate of X(21219)
X(62574) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 330}, {21219, 2887}, {21780, 10}, {21884, 3454}, {23080, 18589}, {43114, 20255}
X(62574) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 330}, {43114, 21219}, {62419, 7155}
X(62574) = X(31)-isoconjugate of X(43115)
X(62574) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 43115}, {330, 2}
X(62574) = barycentric product X(i)*X(j) for these {i,j}: {75, 43114}, {330, 21219}, {6383, 21780}
X(62574) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 43115}, {21219, 192}, {21780, 2176}, {21884, 20691}, {23080, 20760}, {43114, 1}
X(62574) = {X(75),X(53677)}-harmonic conjugate of X(330)

X(62575) = X(2)-CEVA CONJUGATE OF X(4373)

X(62575) lies on these lines: {8, 4373}, {145, 27828}, {3617, 27818}, {3622, 27813}, {4875, 16602}, {11530, 19604}, {24599, 27830}, {27820, 46932}, {30712, 39123}, {30827, 30833}, {32105, 47636}

X(62575) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 4373}, {604, 26718}
X(62575) = X(2)-Ceva conjugate of X(4373)
X(62575) = X(4373)-Dao conjugate of X(2)
X(62575) = {X(27828),X(53647)}-harmonic conjugate of X(145)

X(62576) = X(2)-CEVA CONJUGATE OF X(264)

X(62576) lies on the cubic K512 and these lines: {2, 9291}, {3, 6528}, {4, 16089}, {5, 264}, {76, 39604}, {95, 13855}, {132, 14249}, {276, 1656}, {297, 3981}, {317, 39571}, {327, 52581}, {381, 54100}, {1969, 17866}, {1975, 6331}, {2052, 9290}, {3168, 57008}, {3224, 6531}, {3767, 17907}, {5055, 55079}, {6523, 40680}, {13881, 16081}, {14618, 39575}, {15265, 52289}, {17861, 24046}, {18022, 59635}, {18817, 39170}, {18831, 61753}, {20207, 34861}, {22456, 32545}, {30450, 60501}, {41371, 44137}, {44231, 47392}, {46394, 47383}, {59527, 59528}

X(62576) = reflection of X(46033) in X(5)
X(62576) = isotomic conjugate of X(40800)
X(62576) = complement of X(54114)
X(62576) = polar conjugate of X(1988)
X(62576) = complement of the isogonal conjugate of X(32445)
X(62576) = complement of the isotomic conjugate of X(3164)
X(62576) = isotomic conjugate of the isogonal conjugate of X(3168)
X(62576) = polar conjugate of the isogonal conjugate of X(3164)
X(62576) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 264}, {3164, 2887}, {3168, 20305}, {6638, 18589}, {26887, 21231}, {32445, 10}, {59745, 21253}
X(62576) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 264}, {9291, 58732}
X(62576) = X(i)-isoconjugate of X(j) for these (i,j): {31, 40800}, {48, 1988}, {810, 44828}, {9247, 54114}, {43710, 52430}
X(62576) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 40800}, {264, 2}, {1249, 1988}, {3164, 38283}, {3168, 31382}, {39062, 44828}
X(62576) = cevapoint of X(3164) and X(3168)
X(62576) = barycentric product X(i)*X(j) for these {i,j}: {76, 3168}, {264, 3164}, {276, 42453}, {2052, 57008}, {6331, 59745}, {6638, 18027}, {18022, 32445}, {26887, 62274}
X(62576) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 40800}, {4, 1988}, {264, 54114}, {648, 44828}, {2052, 43710}, {3164, 3}, {3168, 6}, {6638, 577}, {18027, 60819}, {26887, 14533}, {32445, 184}, {42453, 216}, {57008, 394}, {59745, 647}
X(62576) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {5, 18027, 264}, {6530, 40822, 264}, {59527, 59529, 59528}

X(62577) = X(2)-CEVA CONJUGATE OF X(52628)

X(62577) lies on these lines: {2, 2485}, {126, 1560}, {141, 525}, {523, 1368}, {850, 14977}, {2780, 18309}, {3741, 21187}, {6389, 52584}, {8675, 52658}, {9035, 39080}, {15116, 41167}, {21248, 23285}, {35073, 61067}

X(62577) = complement of X(60040)
X(62577) = complement of the isogonal conjugate of X(61198)
X(62577) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 52628}, {163, 468}, {662, 2393}, {858, 21253}, {2393, 8287}, {4575, 54075}, {14961, 34846}, {17172, 21252}, {18669, 125}, {20884, 53575}, {32676, 62375}, {32678, 12099}, {36142, 15118}, {36145, 60774}, {46592, 226}, {61181, 20305}, {61198, 10}
X(62577) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 52628}, {670, 2393}, {3267, 35522}
X(62577) = X(i)-isoconjugate of X(j) for these (i,j): {163, 10422}, {1177, 36142}, {10423, 36060}, {14908, 36095}, {32676, 41511}
X(62577) = X(i)-Dao conjugate of X(j) for these (i,j): {115, 10422}, {468, 112}, {1560, 10423}, {14961, 110}, {15526, 41511}, {23992, 1177}, {38971, 111}, {52628, 2}, {61067, 32729}
X(62577) = crossdifference of every pair of points on line {14908, 18374}
X(62577) = barycentric product X(i)*X(j) for these {i,j}: {690, 1236}, {850, 5181}, {858, 35522}, {1560, 3267}, {3266, 47138}, {5523, 45807}, {18311, 57476}, {44173, 47426}, {52629, 59422}
X(62577) = barycentric quotient X(i)/X(j) for these {i,j}: {468, 10423}, {523, 10422}, {525, 41511}, {690, 1177}, {858, 691}, {1236, 892}, {1560, 112}, {2393, 32729}, {5181, 110}, {14417, 18876}, {18311, 60002}, {18669, 36142}, {19510, 32583}, {20884, 36085}, {35522, 2373}, {42665, 14908}, {47138, 111}, {47426, 1576}, {52628, 60040}, {57466, 35188}, {59422, 34574}

X(62578) = X(2)-CEVA CONJUGATE OF X(22329)

X(62578) lies on on the Kiepert circumhyperbola of the medial triangle and these lines: {2, 353}, {3, 6054}, {39, 543}, {99, 598}, {114, 11645}, {115, 14762}, {147, 21356}, {183, 8593}, {325, 2482}, {385, 8787}, {512, 12093}, {524, 5976}, {542, 15819}, {620, 15810}, {671, 11174}, {690, 38381}, {804, 1649}, {1003, 19911}, {1125, 44317}, {2030, 18800}, {4027, 8859}, {5104, 7840}, {5152, 55801}, {5182, 9877}, {5569, 44773}, {5664, 59775}, {5969, 10335}, {6055, 20190}, {6292, 9167}, {6337, 7785}, {7606, 19120}, {7610, 39560}, {7736, 8591}, {7851, 9166}, {7868, 52088}, {7925, 8786}, {8724, 9744}, {8860, 11167}, {9773, 10807}, {10033, 23234}, {10352, 44536}, {10488, 15271}, {11057, 51589}, {11173, 50639}, {11184, 51580}, {13586, 39100}, {14537, 36521}, {14764, 35133}, {14971, 32992}, {15483, 35955}, {15814, 44377}, {16508, 52674}, {16924, 41135}, {19687, 51587}, {19924, 38383}, {22566, 43460}, {28562, 51578}, {33208, 51579}, {39091, 41136}, {53144, 62356}

X(62578) = midpoint of X(i) and X(j) for these {i,j}: {2, 8592}, {99, 598}, {6054, 9774}
X(62578) = reflection of X(i) in X(j) for these {i,j}: {115, 14762}, {15810, 620}
X(62578) = complement of X(43535)
X(62578) = complement of the isogonal conjugate of X(5104)
X(62578) = complement of the isotomic conjugate of X(7840)
X(62578) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 22329}, {5104, 10}, {7840, 2887}, {9208, 8287}
X(62578) = X(2)-Ceva conjugate of X(22329)
X(62578) = X(22329)-Dao conjugate of X(2)
X(62578) = barycentric product X(7840)*X(22329)
X(62578) = barycentric quotient X(i)/X(j) for these {i,j}: {7840, 5503}, {18800, 60864}, {22329, 43535}
X(62578) = {X(2),X(51798)}-harmonic conjugate of X(5939)

X(62579) = X(2)-CEVA CONJUGATE OF X(33573)

X(62579) lies on the cubic K219 and these lines: {1, 4105}, {2, 522}, {223, 43924}, {650, 1212}, {656, 17056}, {663, 61230}, {676, 23757}, {1155, 42762}, {1214, 47887}, {1638, 6174}, {1648, 57463}, {2254, 10427}, {3160, 3676}, {3752, 6129}, {4453, 36905}, {4543, 51402}, {6505, 57241}, {6544, 52305}, {6545, 11124}, {6745, 38376}, {10017, 46415}, {31844, 53839}, {33573, 35091}, {44902, 50441}

X(62579) = reflection of X(i) in X(j) for these {i,j}: {14476, 2}, {23615, 14476}
X(62579) = complement of the isogonal conjugate of X(23346)
X(62579) = complement of the isotomic conjugate of X(56543)
X(62579) = tripolar centroid of X(527)
X(62579) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 33573}, {109, 5087}, {692, 5199}, {1055, 26932}, {1155, 124}, {1323, 21252}, {1415, 527}, {2149, 45326}, {6610, 116}, {14413, 46100}, {23346, 10}, {23890, 141}, {24027, 6366}, {32656, 60426}, {42082, 46415}, {56543, 2887}
X(62579) = X(i)-Ceva conjugate of X(j) for these (i,j): {2, 33573}, {522, 6366}, {664, 527}, {6068, 3328}, {35110, 35091}
X(62579) = X(i)-isoconjugate of X(j) for these (i,j): {1121, 36141}, {1156, 14733}, {1415, 57565}, {2291, 37139}, {3063, 57563}, {18889, 60487}, {34068, 35157}
X(62579) = X(i)-Dao conjugate of X(j) for these (i,j): {527, 664}, {1146, 57565}, {6366, 522}, {10001, 57563}, {33573, 2}, {35091, 1121}, {35110, 35157}, {52870, 60487}
X(62579) = trilinear pole of line {3328, 35091}
X(62579) = crossdifference of every pair of points on line {1055, 2078}
X(62579) = barycentric product X(i)*X(j) for these {i,j}: {190, 3328}, {514, 6068}, {522, 35110}, {527, 6366}, {664, 35091}, {1638, 6745}, {3239, 3321}, {4391, 42082}, {14392, 37780}, {14414, 37805}, {33573, 56543}, {35519, 59798}
X(62579) = barycentric quotient X(i)/X(j) for these {i,j}: {522, 57565}, {527, 35157}, {664, 57563}, {1055, 14733}, {1155, 37139}, {1323, 60487}, {3321, 658}, {3328, 514}, {6068, 190}, {6139, 2291}, {6366, 1121}, {14392, 41798}, {14413, 34056}, {35091, 522}, {35110, 664}, {42082, 651}, {52333, 42462}, {52334, 60579}, {59798, 109}

X(62580) = X(2)-CEVA CONJUGATE OF X(8115)

X(62580) lies on on the Kiepert circumhyperbola of the medial triangle and these lines: {2, 13580}, {99, 2592}, {114, 1114}, {1649, 53384}, {3580, 5866}, {4558, 8115}, {5664, 50944}, {8116, 34834}, {46811, 54439}

X(62580) = complement of X(13580)
X(62580) = X(31)-complementary conjugate of X(8115)
X(62580) = X(2)-Ceva conjugate of X(8115)
X(62580) = X(8115)-Dao conjugate of X(2)
X(62580) = barycentric quotient X(8115)/X(13580)

X(62581) = X(2)-CEVA CONJUGATE OF X(8116)