Clark Kimberling's

Encyclopedia of Triangle Centers - ETC

X(72001) = X(1)X(25914)∩X(2)X(6)

X(72001) lies on these lines: {1, 25914}, {2, 6}, {5, 5482}, {10, 3742}, {11, 25957}, {43, 4966}, {57, 17279}, {63, 4422}, {88, 33168}, {142, 44417}, {210, 60423}, {226, 3834}, {244, 3703}, {306, 16610}, {312, 1086}, {321, 7263}, {329, 7232}, {345, 17267}, {354, 49524}, {443, 49734}, {474, 65543}, {518, 62673}, {519, 4906}, {536, 24177}, {545, 56082}, {553, 17351}, {594, 19804}, {612, 71322}, {614, 5846}, {750, 29677}, {982, 3932}, {1001, 44419}, {1054, 33158}, {1125, 4682}, {1155, 59580}, {1215, 25557}, {1266, 22034}, {1329, 41682}, {1468, 25992}, {1503, 16434}, {1834, 33833}, {1997, 26132}, {1999, 17366}, {2321, 24175}, {2885, 21031}, {2886, 3836}, {2887, 3816}, {2999, 4851}, {3035, 3771}, {3058, 32948}, {3210, 3943}, {3305, 17332}, {3306, 32777}, {3315, 33091}, {3416, 5272}, {3452, 21255}, {3454, 17527}, {3649, 25591}, {3662, 4415}, {3663, 35652}, {3666, 17243}, {3687, 16602}, {3695, 24046}, {3704, 24174}, {3705, 3756}, {3714, 24178}, {3717, 21342}, {3740, 49511}, {3741, 3826}, {3752, 3912}, {3755, 4891}, {3772, 17282}, {3782, 4358}, {3812, 5835}, {3820, 49993}, {3823, 4847}, {3829, 21241}, {3831, 25466}, {3844, 3848}, {3869, 59704}, {3925, 25961}, {3948, 18739}, {3967, 24231}, {3969, 24183}, {3996, 26073}, {3999, 63147}, {4011, 17768}, {4023, 33081}, {4026, 26102}, {4035, 45204}, {4082, 28582}, {4104, 58451}, {4138, 5087}, {4220, 21167}, {4252, 13742}, {4359, 4665}, {4361, 34255}, {4363, 9776}, {4364, 44307}, {4387, 28530}, {4388, 25531}, {4413, 33171}, {4423, 26034}, {4434, 29672}, {4643, 7308}, {4656, 17235}, {4657, 17022}, {4660, 49736}, {4684, 4849}, {4854, 33125}, {4860, 33163}, {4904, 8056}, {4914, 50949}, {5192, 49745}, {5205, 33124}, {5249, 30818}, {5256, 17390}, {5284, 33086}, {5287, 17045}, {5294, 37520}, {5432, 29632}, {5437, 17284}, {5480, 37521}, {5745, 18214}, {5905, 7238}, {6057, 17155}, {6154, 71452}, {6247, 6891}, {6690, 29642}, {6692, 16608}, {6944, 15873}, {7191, 51147}, {7290, 25509}, {7292, 33078}, {7789, 21477}, {7795, 21526}, {7800, 21514}, {8167, 50295}, {8287, 46828}, {8728, 50605}, {9024, 63513}, {9041, 30615}, {9053, 10327}, {9335, 33089}, {9342, 33175}, {9345, 29663}, {9347, 29666}, {9710, 50608}, {10178, 21629}, {10479, 17529}, {11108, 49728}, {11227, 12618}, {11246, 32930}, {11679, 17278}, {12436, 50054}, {13478, 19512}, {13747, 25645}, {15048, 68938}, {16367, 59625}, {16431, 32459}, {16569, 33087}, {16593, 30822}, {16594, 27131}, {16703, 26235}, {17051, 29655}, {17054, 54433}, {17061, 29649}, {17063, 29674}, {17122, 29637}, {17123, 33085}, {17124, 24943}, {17125, 33080}, {17135, 24988}, {17205, 69439}, {17233, 17490}, {17246, 41839}, {17263, 38000}, {17266, 33116}, {17272, 51780}, {17276, 30568}, {17296, 23511}, {17334, 26840}, {17340, 32939}, {17356, 40940}, {17365, 27064}, {17370, 29841}, {17395, 34064}, {17449, 69298}, {17534, 26064}, {17540, 29473}, {17595, 17776}, {17602, 33123}, {17697, 64159}, {17717, 31242}, {17728, 29857}, {17749, 41014}, {18144, 40012}, {18149, 30631}, {18165, 50609}, {18201, 33164}, {18229, 20195}, {19649, 44882}, {19827, 29613}, {20205, 34852}, {20237, 71002}, {20306, 25681}, {20545, 53566}, {20917, 21025}, {20942, 48629}, {21240, 29571}, {21454, 54389}, {21479, 64035}, {21495, 59545}, {21500, 54075}, {21539, 69206}, {24003, 33064}, {24169, 66071}, {24176, 50042}, {24542, 71479}, {24589, 48636}, {24593, 56520}, {24789, 40480}, {25430, 41312}, {25502, 32784}, {25938, 25968}, {26118, 67865}, {26582, 31028}, {26590, 30967}, {26686, 30174}, {26688, 32859}, {26842, 41242}, {26932, 30827}, {26942, 31231}, {27002, 32851}, {27003, 33157}, {27184, 30829}, {29598, 69095}, {29679, 64149}, {29820, 33079}, {29851, 32918}, {29988, 37596}, {30748, 51150}, {30947, 32773}, {30950, 32781}, {31137, 32865}, {31151, 33106}, {31252, 33138}, {31289, 71489}, {31657, 59637}, {31993, 34824}, {32921, 59477}, {32941, 49732}, {32943, 34612}, {33084, 62711}, {33117, 51463}, {33132, 70219}, {33151, 46938}, {33170, 65112}, {36845, 71327}, {39994, 40013}, {41310, 56078}, {41313, 62818}, {42033, 62300}, {42034, 48627}, {42055, 69297}, {48845, 64167}, {49505, 59684}, {49676, 59511}, {49999, 64172}, {53534, 63139}, {56773, 59695}, {56782, 64158}, {60459, 62814}, {62240, 71638}

X(72001) = midpoint of X(i) and X(j) for these {i,j}: {10327, 17597}, {30615, 62850}
X(72001) = complement of X(4383)
X(72001) = complement of the isogonal conjugate of X(39956)
X(72001) = complement of the isotomic conjugate of X(40012)
X(72001) = X(i)-complementary conjugate of X(j) for these (i,j): {6, 59577}, {8690, 4369}, {34860, 141}, {39956, 10}, {40012, 2887}, {42304, 2886}, {56123, 3454}, {56155, 142}, {56192, 1211}, {60789, 21255}, {60806, 8}, {60807, 46827}, {65059, 3741}
X(72001) = crosspoint of X(2) and X(40012)
X(72001) = crosssum of X(6) and X(16946)
X(72001) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 69, 37679}, {2, 141, 5743}, {2, 333, 17337}, {2, 940, 3589}, {2, 2895, 37687}, {2, 3936, 37663}, {2, 4417, 51415}, {2, 4869, 63089}, {2, 17232, 4417}, {2, 17234, 17056}, {2, 18134, 37662}, {2, 18139, 5718}, {2, 18141, 6}, {2, 25934, 53415}, {2, 32782, 5241}, {2, 32863, 37680}, {2, 33172, 1211}, {2, 37655, 37650}, {2, 37660, 62689}, {2, 37674, 6703}, {2, 37683, 17352}, {2, 63013, 47355}, {2, 69092, 141}, {57, 17279, 44416}, {244, 29687, 3703}, {321, 40688, 7263}, {982, 3932, 4884}, {1211, 33172, 141}, {1211, 69092, 33172}, {2887, 4871, 3816}, {3662, 18743, 4415}, {3763, 37682, 2}, {3782, 69251, 48631}, {3836, 3840, 2886}, {4358, 69251, 3782}, {16602, 17231, 3687}, {17063, 29674, 69091}, {17125, 33080, 41002}, {17267, 70256, 345}, {17282, 30567, 3772}, {17595, 17776, 59583}, {25957, 30957, 11}, {25961, 30942, 3925}, {26102, 33174, 4026}, {44307, 54311, 4364}

X(72002) = X(1)X(2)∩X(6)X(69300)

X(72002) lies on these lines: {1, 2}, {6, 69300}, {31, 1211}, {37, 33156}, {55, 69294}, {75, 32775}, {81, 33084}, {100, 32784}, {141, 750}, {171, 32782}, {210, 26061}, {345, 3989}, {468, 1973}, {524, 62846}, {594, 17602}, {748, 5743}, {756, 32777}, {894, 33065}, {896, 4643}, {902, 50295}, {940, 33081}, {968, 6536}, {984, 32779}, {1010, 30984}, {1011, 23843}, {1150, 3775}, {1155, 17237}, {1376, 32781}, {1621, 31247}, {1740, 27270}, {1842, 4207}, {2177, 4026}, {2218, 4204}, {2240, 4386}, {2308, 5739}, {2895, 62841}, {3120, 50314}, {3550, 33083}, {3589, 4023}, {3681, 32780}, {3686, 61647}, {3696, 33128}, {3712, 4364}, {3745, 32852}, {3763, 4413}, {3764, 68954}, {3772, 21020}, {3846, 24552}, {3923, 26580}, {3925, 31237}, {3936, 50302}, {3949, 17303}, {3966, 17469}, {3980, 17184}, {3994, 17281}, {3999, 51003}, {4009, 17359}, {4104, 5294}, {4193, 30980}, {4357, 4414}, {4359, 26128}, {4363, 32856}, {4389, 32845}, {4417, 32772}, {4418, 27184}, {4425, 32929}, {4438, 4981}, {4657, 46904}, {4697, 32859}, {4706, 17382}, {4748, 24683}, {4893, 47701}, {4933, 41312}, {4966, 9345}, {5078, 16405}, {5224, 32917}, {5233, 32944}, {5241, 17125}, {5263, 25760}, {5278, 6679}, {5741, 25496}, {5814, 62847}, {5955, 24443}, {6187, 8299}, {6703, 62821}, {7226, 33167}, {7234, 24921}, {8756, 68915}, {9347, 32846}, {10448, 65543}, {13588, 70619}, {16305, 68845}, {16468, 37656}, {16878, 24912}, {17122, 33172}, {17124, 69092}, {17126, 33082}, {17238, 71477}, {17280, 64178}, {17289, 32931}, {17357, 61686}, {17716, 33075}, {17740, 46901}, {19786, 32860}, {19804, 33123}, {19808, 32771}, {19822, 33144}, {19832, 70971}, {21727, 25684}, {21805, 38047}, {22230, 61366}, {24325, 33122}, {24342, 31019}, {24620, 26150}, {24697, 62838}, {25440, 35984}, {25527, 69253}, {25917, 52359}, {25958, 33109}, {25960, 32942}, {26064, 54354}, {26223, 69299}, {26446, 30272}, {26627, 49676}, {27081, 71478}, {27842, 71751}, {28605, 33152}, {28606, 33160}, {30831, 33111}, {30966, 70443}, {31034, 33682}, {31037, 32946}, {31993, 33127}, {32773, 32945}, {32776, 32932}, {32843, 70419}, {32861, 62807}, {32863, 37604}, {32949, 70484}, {33064, 59628}, {33086, 56010}, {33087, 37633}, {33114, 49457}, {33154, 64010}, {33155, 46918}, {33159, 63961}, {33170, 49448}, {37635, 43997}, {49456, 50105}, {49483, 71798}, {49515, 71795}, {50296, 70834}, {53034, 69643}, {54324, 59207}, {57040, 68935}

X(72002) = complement of X(29829)
X(72002) = X(29133)-complementary conjugate of X(513)
X(72002) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 8, 29631}, {2, 42, 29647}, {2, 43, 29663}, {2, 3240, 29633}, {2, 3741, 29662}, {2, 3771, 29661}, {2, 4651, 25453}, {2, 10453, 29845}, {2, 17135, 29635}, {2, 24943, 29677}, {2, 29830, 1125}, {2, 29846, 29678}, {2, 31330, 24892}, {2, 32783, 24943}, {2, 33137, 29863}, {2, 33139, 29856}, {2, 33171, 3720}, {2, 33173, 26102}, {2, 33175, 1}, {2, 59296, 29850}, {75, 32775, 33143}, {171, 32782, 33080}, {984, 32779, 33161}, {1698, 29858, 2}, {3679, 29856, 33139}, {3920, 32778, 32854}, {4028, 69544, 67208}, {4418, 27184, 33098}, {5263, 25760, 33104}, {5263, 30832, 25760}, {6679, 70972, 5278}, {19808, 33126, 32771}, {19856, 29640, 2}, {21085, 29645, 3187}, {29865, 59306, 2}, {31037, 70482, 32946}, {33155, 46918, 49474}

X(72003) = X(1)X(2)∩X(141)X(17123)

X(72003) lies on these lines: {1, 2}, {141, 17123}, {238, 33085}, {244, 33157}, {312, 33147}, {333, 31289}, {354, 33159}, {748, 33082}, {982, 17279}, {1001, 33174}, {1054, 59692}, {1279, 33079}, {2887, 17283}, {3315, 33162}, {3589, 4038}, {3662, 4011}, {3685, 24169}, {3742, 17357}, {3752, 33158}, {3763, 8167}, {3834, 33097}, {3836, 32942}, {3846, 25531}, {3925, 31252}, {3932, 17598}, {3943, 59477}, {4358, 33123}, {4383, 33087}, {4387, 33149}, {4423, 32784}, {4425, 17291}, {4432, 33068}, {4703, 17227}, {5284, 32781}, {8707, 28574}, {8731, 44304}, {15485, 26034}, {16059, 37577}, {16610, 33160}, {17063, 32777}, {17125, 32782}, {17231, 32861}, {17232, 32946}, {17234, 25496}, {17243, 17600}, {17267, 33092}, {17280, 24165}, {17282, 17889}, {17290, 33154}, {17352, 32853}, {17353, 32913}, {17356, 33132}, {17449, 33166}, {17526, 37608}, {17591, 17776}, {17597, 33165}, {18134, 70942}, {18139, 32944}, {18141, 62841}, {18201, 44416}, {18743, 26128}, {24003, 33126}, {24542, 32918}, {24552, 25961}, {24988, 32945}, {25957, 33106}, {26061, 64149}, {26073, 71450}, {26098, 53665}, {26688, 33065}, {27064, 49676}, {28256, 38832}, {30818, 33130}, {31151, 63979}, {32857, 32930}, {32949, 70483}, {33081, 37680}, {33084, 37679}, {33124, 59511}, {37687, 69300}, {56460, 67265}, {62814, 69298}

X(72003) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3720, 29633}, {2, 3840, 33140}, {2, 29637, 32783}, {2, 29642, 29640}, {2, 29677, 29637}, {2, 29814, 29663}, {2, 29824, 29850}, {2, 29870, 29678}, {2, 30942, 33138}, {2, 30947, 29635}, {2, 33171, 16569}, {2, 33173, 899}, {238, 69092, 33085}, {244, 33157, 33167}, {614, 29674, 32866}, {748, 33172, 33082}, {982, 17279, 33164}, {3662, 4011, 33099}, {3742, 17357, 32780}, {3836, 32942, 33109}, {4358, 33123, 33152}, {5272, 17284, 32778}, {7191, 29687, 32847}, {17232, 70485, 32946}, {17284, 25509, 5272}, {29858, 31242, 2}, {32930, 69251, 32857}

X(72004) = X(1)X(2)∩X(35)X(4199)

X(72004) lies on these lines: {1, 2}, {35, 4199}, {37, 33160}, {69, 37604}, {75, 33152}, {81, 69300}, {100, 31247}, {141, 17122}, {171, 1211}, {210, 32780}, {226, 24342}, {238, 5743}, {333, 70972}, {750, 32782}, {756, 32779}, {894, 59628}, {940, 33084}, {984, 33167}, {986, 5955}, {1011, 1324}, {1054, 54311}, {1213, 6690}, {1215, 19808}, {1376, 32784}, {1654, 71489}, {1757, 4104}, {2244, 17256}, {2308, 37656}, {2887, 30832}, {3052, 50296}, {3550, 50295}, {3696, 33135}, {3739, 33130}, {3740, 33159}, {3745, 32861}, {3769, 50308}, {3775, 14829}, {3791, 4886}, {3842, 33116}, {3846, 5263}, {3944, 50314}, {3966, 17716}, {3967, 50052}, {3980, 27184}, {3989, 33168}, {4026, 60714}, {4191, 34868}, {4192, 29315}, {4205, 37573}, {4213, 39579}, {4357, 17596}, {4359, 32775}, {4363, 33101}, {4365, 46918}, {4413, 33174}, {4417, 50302}, {4418, 26580}, {4425, 32932}, {4640, 24697}, {4643, 4650}, {4649, 6703}, {4682, 32846}, {4697, 33066}, {4710, 30710}, {4893, 69316}, {4981, 33119}, {5010, 37175}, {5224, 32916}, {5233, 25496}, {5241, 17123}, {5251, 8731}, {5712, 43997}, {5739, 62841}, {5741, 32772}, {6679, 17277}, {7359, 71491}, {8706, 28505}, {9347, 32852}, {10164, 64700}, {13725, 37574}, {14555, 16468}, {16058, 38903}, {17124, 33172}, {17280, 59517}, {17289, 25120}, {17332, 59574}, {17357, 58451}, {17359, 59506}, {17719, 31993}, {19344, 39578}, {19804, 26128}, {21020, 33133}, {24325, 33126}, {24552, 25960}, {24589, 33123}, {25440, 37467}, {25760, 33109}, {26034, 56010}, {26061, 63961}, {26627, 33069}, {28653, 70370}, {30966, 70448}, {31037, 32949}, {32843, 70482}, {32864, 70970}, {32917, 41809}, {32946, 70484}, {33081, 37633}, {33087, 37674}, {33121, 49457}, {33158, 44307}, {33682, 62998}, {37365, 63423}, {37759, 62226}, {37799, 57652}, {47821, 66518}, {48547, 59914}, {48643, 68999}, {49469, 70517}, {50093, 59544}, {50312, 55095}, {51294, 56078}, {59690, 70559}

X(72004) = complement of X(29837)
X(72004) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 8, 29635}, {2, 10, 33138}, {2, 43, 29633}, {2, 3240, 29647}, {2, 4651, 29631}, {2, 17135, 29845}, {2, 29839, 1125}, {2, 29846, 29640}, {2, 31330, 33140}, {2, 32783, 29637}, {2, 33139, 29863}, {2, 33171, 26102}, {2, 33173, 30950}, {2, 33175, 3720}, {2, 59296, 25453}, {10, 1125, 16824}, {10, 59726, 7081}, {100, 31247, 69294}, {171, 1211, 33082}, {612, 32778, 32847}, {750, 32782, 33085}, {756, 32779, 33164}, {3775, 58443, 14829}, {3846, 5263, 33106}, {3920, 69252, 32866}, {3980, 27184, 32857}, {4359, 32775, 33147}, {4418, 26580, 33099}, {29841, 70973, 49488}, {59628, 69299, 894}

X(72005) = X(1)X(2)∩X(141)X(17125)

X(72005) lies on these lines: {1, 2}, {141, 17125}, {244, 17279}, {344, 46901}, {748, 33080}, {1150, 31289}, {2308, 18141}, {3120, 17282}, {3315, 33165}, {3589, 9345}, {3742, 26061}, {3816, 31237}, {3834, 24725}, {3836, 33104}, {3999, 71795}, {4003, 41310}, {4009, 71798}, {4011, 33098}, {4358, 33143}, {4379, 48102}, {4422, 36263}, {4423, 32781}, {4906, 71796}, {5284, 33174}, {8167, 69294}, {9335, 33167}, {10448, 25914}, {15485, 33086}, {16610, 33156}, {17063, 33157}, {17123, 33172}, {17232, 32843}, {17234, 32944}, {17267, 32848}, {17283, 25531}, {17298, 61707}, {17341, 33115}, {17352, 32919}, {17356, 33128}, {17450, 38047}, {17597, 69298}, {17721, 21026}, {18139, 70942}, {18743, 33123}, {24003, 33122}, {24295, 26627}, {24988, 32941}, {25961, 32942}, {26073, 71451}, {26688, 33064}, {28269, 61365}, {30829, 32775}, {30944, 44304}, {31252, 33108}, {32949, 70485}, {33081, 37679}, {33084, 37687}, {33087, 37680}, {33152, 46938}, {33159, 64149}

X(72005) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3720, 29663}, {2, 3840, 24892}, {2, 26102, 29647}, {2, 26103, 29845}, {2, 29642, 29678}, {2, 29677, 24943}, {2, 29851, 29661}, {2, 30947, 29631}, {2, 30957, 29662}, {2, 33173, 16569}, {2, 33175, 62711}, {244, 17279, 33161}, {614, 29687, 32854}, {748, 69092, 33080}, {4011, 69251, 33098}, {17283, 25531, 25760}

X(72006) = X(1)X(2)∩X(31)X(5743)

X(72006) lies on these lines: {1, 2}, {31, 5743}, {141, 17124}, {748, 5241}, {750, 1211}, {756, 33161}, {940, 69300}, {1011, 2933}, {1150, 58443}, {1213, 2268}, {1376, 69294}, {2217, 30944}, {2292, 5955}, {2308, 14555}, {2895, 37604}, {3739, 33127}, {3740, 26061}, {3826, 31237}, {3842, 33113}, {3846, 33104}, {3980, 26580}, {3989, 17740}, {3994, 50048}, {4009, 50052}, {4023, 6703}, {4104, 32912}, {4359, 33143}, {4413, 7085}, {4682, 32852}, {4706, 50063}, {4893, 69313}, {5224, 32918}, {5233, 32772}, {5263, 25960}, {5741, 50302}, {6536, 17594}, {6537, 69231}, {9330, 33164}, {9342, 33174}, {9347, 32861}, {11358, 40109}, {17064, 21027}, {17122, 32782}, {17303, 21033}, {17720, 21020}, {17737, 59772}, {19804, 32775}, {19808, 32931}, {24295, 26688}, {24342, 31053}, {24589, 26128}, {24693, 48646}, {25957, 30832}, {26064, 37603}, {26223, 59628}, {26627, 33064}, {27081, 71479}, {31247, 32784}, {32780, 63961}, {32843, 70484}, {32853, 70970}, {32916, 41809}, {33081, 37674}, {33083, 56010}, {33084, 37633}, {33156, 44307}, {33682, 63010}, {37656, 62841}, {50314, 69173}, {63100, 71489}

X(72006) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 8, 29845}, {2, 10, 24892}, {2, 43, 29647}, {2, 899, 29663}, {2, 4651, 29635}, {2, 26038, 29850}, {2, 29830, 25501}, {2, 29846, 29661}, {2, 31330, 29662}, {2, 32783, 29677}, {2, 33171, 30950}, {2, 33173, 25502}, {2, 33175, 26102}, {2, 59296, 29631}, {78, 1698, 27714}, {612, 69252, 32854}, {750, 1211, 33080}, {3980, 26580, 33098}, {4023, 6703, 61358}, {29677, 32783, 24943}, {58443, 70972, 1150}

X(72007) = X(1)X(33086)∩X(2)X(2308)

X(72007) lies on these lines: {1, 33086}, {2, 2308}, {8, 17449}, {10, 26627}, {11, 31134}, {31, 29677}, {43, 32863}, {57, 15523}, {63, 29687}, {69, 899}, {81, 29663}, {100, 33087}, {141, 750}, {149, 31137}, {171, 24943}, {244, 3416}, {312, 33067}, {320, 32931}, {333, 25961}, {343, 25938}, {354, 33074}, {443, 59307}, {599, 4413}, {896, 17279}, {940, 29647}, {982, 32854}, {1054, 33077}, {1150, 3836}, {1155, 17231}, {1211, 17124}, {1376, 33081}, {1999, 33125}, {2177, 4966}, {2239, 30945}, {2550, 31136}, {2887, 29662}, {2895, 16569}, {3011, 21255}, {3187, 24169}, {3218, 29674}, {3306, 69252}, {3315, 49506}, {3550, 33173}, {3589, 62846}, {3631, 4023}, {3662, 17763}, {3663, 49990}, {3720, 18141}, {3752, 32852}, {3769, 33123}, {3771, 71479}, {3840, 6327}, {3844, 37520}, {3873, 33079}, {3875, 49995}, {3879, 67211}, {3912, 4414}, {3932, 36263}, {3967, 71797}, {3994, 17276}, {4000, 50756}, {4001, 62673}, {4009, 17345}, {4026, 9345}, {4030, 62869}, {4062, 17296}, {4358, 4655}, {4362, 69251}, {4365, 34255}, {4388, 26139}, {4392, 32847}, {4416, 60423}, {4429, 32919}, {4434, 33122}, {4645, 30942}, {4650, 33157}, {4660, 29824}, {4671, 32857}, {4683, 18743}, {4684, 67207}, {4706, 17372}, {4850, 32846}, {4851, 46904}, {4871, 50304}, {5205, 17288}, {5269, 29686}, {5311, 54311}, {5372, 33138}, {6536, 17022}, {6646, 64178}, {6685, 63056}, {6686, 63010}, {7081, 33069}, {7232, 32856}, {9352, 33160}, {10453, 32948}, {11679, 69253}, {14459, 17373}, {14829, 24892}, {14996, 29633}, {16496, 49996}, {17063, 33075}, {17122, 32782}, {17126, 29637}, {17184, 29649}, {17227, 32775}, {17232, 29632}, {17233, 32845}, {17234, 32917}, {17291, 29636}, {17298, 29828}, {17344, 61686}, {17591, 33093}, {17595, 32848}, {17596, 32858}, {17602, 48632}, {18134, 29678}, {18139, 29661}, {18201, 33089}, {21027, 38052}, {21342, 71796}, {23958, 33167}, {24589, 50308}, {24593, 48647}, {24627, 29643}, {24725, 30818}, {25453, 37639}, {25527, 29683}, {25959, 33140}, {26037, 37653}, {26102, 33083}, {26150, 29834}, {26227, 49676}, {26840, 32925}, {27003, 32778}, {28599, 29844}, {29631, 37684}, {29679, 32913}, {29684, 62845}, {29825, 37635}, {29827, 33112}, {29850, 37683}, {29851, 71476}, {29854, 38000}, {29863, 63078}, {29867, 37642}, {30567, 69173}, {30950, 50295}, {31151, 33108}, {31237, 37646}, {32784, 37633}, {32859, 59511}, {32915, 33068}, {33076, 64149}, {33091, 62865}, {33134, 70219}, {33159, 62795}, {33164, 67335}, {33165, 62235}, {33175, 56010}, {37656, 62711}, {37674, 69294}, {44419, 62849}, {48835, 49999}, {49448, 60459}, {49455, 50000}, {49505, 49991}, {49524, 54352}, {56782, 67976}, {69297, 71793}

X(72007) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 33085, 33080}, {31, 69092, 29677}, {81, 33174, 29663}, {171, 33172, 24943}, {312, 33067, 33098}, {599, 4413, 69300}, {940, 32781, 29647}, {982, 33078, 32854}, {1155, 17231, 33156}, {3218, 29674, 33161}, {3662, 17763, 33143}, {4645, 30942, 33104}, {5205, 17288, 33065}, {14829, 25957, 24892}, {17232, 71477, 29632}, {18134, 32918, 29678}, {18139, 32916, 29661}, {18141, 26034, 3720}

X(72008) = X(1)X(2895)∩X(2)X(2308)

X(72009) lies on these lines: {1, 2895}, {2, 2308}, {4, 59307}, {6, 29647}, {8, 4365}, {9, 15523}, {10, 6327}, {31, 1211}, {37, 32852}, {38, 3764}, {42, 5739}, {43, 33083}, {44, 26061}, {45, 69295}, {55, 69300}, {63, 69252}, {69, 3720}, {75, 4683}, {141, 748}, {210, 33074}, {238, 24943}, {239, 32776}, {319, 32915}, {321, 4703}, {333, 24892}, {343, 25885}, {354, 17344}, {497, 31136}, {516, 70516}, {524, 62821}, {599, 4423}, {614, 17272}, {750, 5743}, {752, 70972}, {756, 3416}, {846, 33077}, {899, 14555}, {956, 28377}, {966, 59306}, {968, 4062}, {984, 32854}, {993, 49723}, {1001, 33081}, {1125, 63056}, {1150, 3846}, {1330, 31339}, {1376, 40109}, {1468, 49716}, {1621, 31143}, {1654, 4388}, {1757, 29667}, {1836, 3958}, {1899, 3691}, {2268, 71286}, {2292, 5814}, {2886, 49724}, {2887, 5278}, {3120, 5271}, {3187, 4425}, {3219, 32778}, {3305, 29687}, {3578, 32853}, {3661, 32930}, {3679, 5080}, {3681, 33076}, {3683, 33156}, {3686, 3914}, {3687, 4414}, {3696, 33094}, {3703, 17332}, {3706, 4690}, {3715, 69298}, {3751, 29685}, {3757, 33065}, {3771, 31037}, {3775, 24552}, {3876, 25308}, {3883, 3938}, {3923, 56810}, {3925, 17330}, {3936, 29661}, {3989, 17257}, {3993, 20017}, {3994, 69089}, {4023, 44419}, {4026, 61358}, {4042, 33136}, {4104, 63134}, {4357, 17017}, {4359, 4655}, {4361, 33145}, {4362, 26580}, {4383, 32781}, {4384, 69253}, {4387, 4445}, {4389, 32924}, {4416, 32912}, {4417, 29678}, {4450, 70970}, {4645, 26037}, {4651, 4660}, {4657, 71184}, {4854, 17362}, {4865, 4981}, {4886, 24723}, {4914, 49515}, {4974, 32774}, {5014, 49457}, {5220, 33162}, {5224, 32772}, {5233, 32918}, {5235, 33111}, {5241, 17124}, {5251, 48839}, {5263, 41816}, {5284, 33087}, {5311, 5847}, {5361, 33140}, {5737, 33105}, {5741, 32916}, {6535, 56082}, {6646, 17155}, {6685, 63010}, {6703, 62846}, {7226, 32866}, {7262, 32779}, {7290, 29686}, {8013, 50314}, {8616, 33175}, {10436, 64164}, {10448, 49728}, {10453, 17343}, {10477, 20961}, {11269, 14552}, {11679, 69173}, {11680, 30981}, {12514, 20653}, {12588, 28387}, {14829, 25960}, {15485, 33173}, {16475, 68945}, {16569, 33086}, {16704, 29635}, {16823, 33069}, {16825, 17184}, {17123, 33172}, {17125, 69092}, {17127, 32783}, {17135, 43990}, {17238, 70481}, {17253, 17599}, {17256, 33073}, {17260, 29854}, {17270, 20553}, {17271, 32942}, {17277, 25957}, {17306, 29684}, {17328, 32844}, {17331, 29641}, {17346, 32773}, {17347, 32940}, {17349, 29850}, {17676, 59303}, {19684, 50298}, {19742, 25453}, {19804, 33067}, {19822, 24695}, {21085, 32929}, {23682, 26085}, {24325, 32859}, {24597, 29863}, {24697, 28606}, {24725, 31993}, {25958, 33138}, {26098, 30970}, {26102, 32863}, {26227, 69299}, {27065, 29674}, {27081, 70482}, {27184, 32914}, {27714, 54421}, {28605, 33099}, {29631, 37652}, {29633, 63074}, {29642, 31017}, {29663, 32784}, {29816, 51192}, {29845, 37683}, {29846, 71476}, {29849, 38000}, {30942, 37653}, {31034, 43223}, {31089, 52133}, {32771, 33066}, {32855, 62796}, {32948, 59296}, {33079, 63961}, {33090, 49448}, {33092, 33761}, {33095, 42334}, {33100, 49474}, {33112, 59312}, {33113, 59624}, {33117, 60731}, {33160, 62838}, {33163, 54280}, {33174, 37680}, {36263, 69091}, {37319, 71288}, {41809, 50302}, {49483, 71797}, {50290, 67208}, {51196, 69544}, {63131, 70522}, {71236, 71246}

X(72008) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 33082, 33080}, {6, 69294, 29647}, {75, 4683, 33098}, {141, 748, 29677}, {141, 41002, 748}, {238, 32782, 24943}, {333, 25760, 24892}, {984, 33075, 32854}, {1150, 3846, 29662}, {1621, 31143, 33084}, {1654, 4388, 31330}, {1836, 17275, 21020}, {3219, 32778, 33161}, {3966, 4643, 38}, {4388, 31330, 33104}, {4417, 32917, 29678}, {4703, 50308, 321}, {4886, 24723, 32860}, {4914, 49515, 71796}, {5739, 50295, 42}, {6327, 63100, 10}, {14555, 26034, 899}, {17257, 33088, 3989}, {17346, 32773, 32864}, {24697, 32861, 28606}, {27184, 32914, 33143}, {27184, 70969, 32914}, {31037, 71478, 3771}, {32784, 32911, 29663}, {33083, 37656, 43}, {33084, 50296, 1621}

X(72009) = X(1)X(18141)∩X(2)X(2308)

X(72009) lies on these lines: {1, 18141}, {2, 2308}, {57, 29674}, {69, 16569}, {141, 17122}, {171, 29637}, {244, 32866}, {306, 1054}, {312, 32857}, {320, 59511}, {354, 33079}, {750, 32783}, {899, 32863}, {940, 29633}, {982, 32847}, {1056, 3679}, {1150, 25961}, {1155, 33158}, {1330, 46827}, {1376, 33087}, {1757, 62673}, {1961, 54311}, {1999, 24169}, {2886, 31151}, {3218, 29687}, {3306, 32778}, {3416, 17063}, {3434, 31137}, {3662, 29649}, {3703, 18201}, {3720, 33086}, {3742, 33076}, {3752, 32846}, {3771, 17232}, {3834, 33130}, {3836, 14829}, {3840, 4645}, {3912, 17596}, {3914, 70219}, {3944, 30567}, {3971, 26840}, {3974, 49532}, {4001, 60423}, {4082, 24821}, {4135, 4440}, {4358, 33067}, {4388, 4871}, {4413, 33084}, {4434, 33124}, {4650, 17279}, {4655, 18743}, {4680, 53619}, {4685, 26073}, {4703, 30829}, {4860, 33169}, {4966, 60714}, {5205, 33064}, {5269, 29660}, {5739, 62711}, {6327, 30957}, {6646, 59517}, {6679, 17283}, {6685, 17300}, {6686, 62998}, {7081, 49676}, {7232, 33101}, {8167, 50296}, {9342, 69300}, {9352, 33156}, {10327, 62865}, {14996, 29663}, {15485, 63140}, {15523, 27003}, {16484, 44419}, {16610, 32861}, {16990, 17298}, {17124, 32782}, {17126, 29677}, {17231, 33160}, {17234, 32916}, {17263, 59624}, {17288, 69299}, {17291, 29645}, {17292, 59628}, {17344, 58451}, {17345, 59506}, {17375, 59298}, {17449, 33091}, {17595, 33092}, {17763, 33147}, {18139, 29640}, {19879, 37607}, {21255, 66632}, {23958, 33161}, {24003, 33066}, {24260, 31028}, {24593, 33119}, {24627, 29653}, {24988, 32864}, {25453, 37684}, {25502, 50295}, {25957, 33140}, {25959, 29662}, {26034, 26102}, {26150, 29842}, {27002, 71085}, {29632, 71479}, {29642, 71477}, {29668, 50289}, {29820, 63134}, {29824, 32948}, {29839, 59679}, {29850, 37639}, {29856, 63078}, {29862, 59491}, {30818, 33097}, {30942, 33109}, {30950, 33083}, {32780, 37520}, {32781, 37633}, {32784, 37674}, {32855, 70256}, {33074, 64149}, {33153, 62659}, {33171, 56010}, {34255, 49474}, {62235, 69298}

X(72009) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 33085, 33082}, {57, 29674, 33167}, {171, 69092, 29637}, {244, 33078, 32866}, {750, 33172, 32783}, {940, 33174, 29633}, {3218, 29687, 33164}, {3662, 29649, 33152}, {3836, 14829, 33138}, {3840, 4645, 33106}, {4358, 33067, 33099}, {17763, 69251, 33147}, {18139, 32918, 29640}

X(72010) = X(1)X(4101)∩X(2)X(2308)

X(72010) lies on these lines: {1, 4101}, {2, 2308}, {4, 1695}, {8, 3971}, {9, 32778}, {10, 4388}, {11, 49724}, {36, 49723}, {37, 32861}, {42, 37656}, {43, 14555}, {44, 32780}, {45, 33092}, {55, 50296}, {69, 26102}, {75, 4703}, {141, 17123}, {171, 5743}, {210, 33076}, {238, 1211}, {239, 4425}, {312, 50308}, {333, 3846}, {391, 33137}, {524, 4038}, {599, 8167}, {740, 4886}, {748, 29637}, {756, 32847}, {846, 3687}, {899, 33083}, {966, 26098}, {982, 4643}, {984, 3966}, {993, 48839}, {1001, 33084}, {1125, 17778}, {1150, 25960}, {1193, 26064}, {1621, 69300}, {1654, 3741}, {1699, 5816}, {1961, 5847}, {2551, 59313}, {2886, 17330}, {2887, 17277}, {2895, 3720}, {3219, 33167}, {3305, 29674}, {3434, 3583}, {3578, 32919}, {3661, 4011}, {3666, 24697}, {3683, 33160}, {3685, 21085}, {3686, 24210}, {3696, 33095}, {3705, 17331}, {3706, 42334}, {3707, 29861}, {3715, 33165}, {3739, 33097}, {3740, 33079}, {3742, 17344}, {3757, 69299}, {3775, 32942}, {3840, 37653}, {3842, 33073}, {3876, 25306}, {3883, 3961}, {3944, 5271}, {3975, 70503}, {3989, 32842}, {4023, 60714}, {4042, 33141}, {4046, 4693}, {4357, 29821}, {4359, 4683}, {4361, 33154}, {4362, 70969}, {4364, 17600}, {4383, 32784}, {4384, 17889}, {4416, 32913}, {4417, 29640}, {4423, 33087}, {4514, 49457}, {4647, 70502}, {4651, 32947}, {4655, 19804}, {4660, 59296}, {4672, 19808}, {4716, 4854}, {4970, 9791}, {4974, 19786}, {4981, 32844}, {5046, 59307}, {5057, 21020}, {5220, 33169}, {5224, 25496}, {5233, 32916}, {5235, 33105}, {5241, 17122}, {5263, 70972}, {5272, 17272}, {5278, 25760}, {5284, 31143}, {5361, 29662}, {5692, 26893}, {5737, 17717}, {5741, 32917}, {6327, 26037}, {6536, 17011}, {6537, 70975}, {6646, 24165}, {6679, 30832}, {6685, 63002}, {7779, 17252}, {8731, 71288}, {12699, 31327}, {14459, 27804}, {14997, 29663}, {15254, 33158}, {15485, 33171}, {15523, 27065}, {16569, 26034}, {16704, 29845}, {16817, 56949}, {16823, 33064}, {16825, 27184}, {17125, 33172}, {17238, 70485}, {17248, 29644}, {17256, 33071}, {17260, 29653}, {17275, 24703}, {17300, 25501}, {17332, 69091}, {17346, 32853}, {17348, 33132}, {17349, 25453}, {17772, 34064}, {19516, 29287}, {19732, 33111}, {19742, 29631}, {19856, 32772}, {20072, 71518}, {23659, 35623}, {24325, 33066}, {24342, 41011}, {24589, 33067}, {26105, 31137}, {26117, 59303}, {26580, 32914}, {29632, 31037}, {29633, 32911}, {29635, 37652}, {29647, 63074}, {29673, 60731}, {29687, 35595}, {29820, 49511}, {29824, 43990}, {29825, 63089}, {29837, 62989}, {29846, 71478}, {29851, 31017}, {30950, 32863}, {30970, 33107}, {31330, 33106}, {31993, 33096}, {32781, 37680}, {32846, 44307}, {32848, 33761}, {32851, 59624}, {32930, 56810}, {32945, 70970}, {33074, 63961}, {33112, 59306}, {33174, 37679}, {37607, 49716}, {37608, 54429}, {38000, 71085}, {43223, 62998}, {44419, 56009}, {49710, 59628}, {56010, 63140}, {69544, 69632}

X(72010) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 33082, 33085}, {9, 32778, 33164}, {10, 4388, 33109}, {75, 4703, 33099}, {238, 1211, 32783}, {333, 3846, 33140}, {748, 32782, 29637}, {756, 33075, 32847}, {966, 26098, 59312}, {984, 3966, 32866}, {1211, 41002, 238}, {3219, 69252, 33167}, {3883, 4104, 3961}, {4359, 4683, 32857}, {5278, 25760, 33138}, {5284, 31143, 33081}, {14555, 50295, 43}, {16825, 27184, 33147}, {26034, 63003, 16569}, {26580, 32914, 33152}, {32772, 41809, 19856}, {32911, 69294, 29633}, {32942, 41816, 3775}

X(72011) = X(2)X(2308)∩X(42)X(18141)

X(72011) lies on these lines: {2, 2308}, {42, 18141}, {57, 29687}, {88, 32855}, {141, 17124}, {171, 29677}, {244, 32854}, {750, 24943}, {940, 29663}, {1054, 32858}, {2895, 62711}, {3120, 30567}, {3306, 15523}, {3742, 33074}, {3816, 31134}, {3834, 33127}, {3836, 24892}, {3840, 33104}, {3999, 71796}, {4009, 71797}, {4138, 62621}, {4358, 33098}, {4413, 33081}, {4438, 24593}, {4645, 30957}, {4675, 31264}, {4683, 30829}, {4860, 33162}, {4871, 6327}, {5205, 33069}, {5437, 69252}, {6686, 31034}, {9335, 32866}, {9342, 33084}, {9352, 33158}, {10327, 17449}, {11680, 31151}, {14829, 25961}, {16569, 32863}, {16610, 32852}, {17063, 33078}, {17122, 33172}, {17232, 29846}, {17234, 29661}, {17291, 29847}, {17595, 69295}, {17770, 26688}, {18139, 29678}, {18201, 32862}, {18743, 33067}, {23958, 33164}, {24003, 32859}, {24177, 49990}, {24627, 29854}, {24988, 32853}, {25502, 33083}, {25957, 29662}, {26034, 30950}, {26061, 37520}, {26102, 33086}, {26840, 64178}, {27002, 29849}, {27003, 29674}, {29642, 71479}, {29647, 33174}, {29649, 33143}, {29830, 59679}, {29850, 37684}, {29851, 71477}, {29867, 63078}, {29869, 53665}, {30947, 32947}, {31137, 33110}, {31237, 37634}, {31242, 33107}, {32781, 37674}, {32848, 70256}, {32912, 62673}, {33079, 64149}, {33099, 46938}, {33131, 70219}, {33144, 62659}, {33169, 65112}, {33173, 56010}, {37462, 59307}, {49994, 71794}, {49996, 62850}, {60459, 62865}

X(72011) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {57, 29687, 33161}, {750, 69092, 24943}, {17234, 32918, 29661}, {29649, 69251, 33143}, {33174, 37633, 29647}

X(72012) = X(1)X(37656)∩X(42)X(14555)

X(72012) lies on these lines: {1, 37656}, {2, 2308}, {8, 64178}, {9, 33161}, {10, 33104}, {11, 17330}, {31, 5743}, {36, 48839}, {42, 14555}, {45, 32848}, {69, 30950}, {100, 50296}, {141, 17125}, {149, 3679}, {244, 4643}, {333, 25960}, {391, 11269}, {524, 9345}, {748, 1211}, {750, 5241}, {756, 3966}, {899, 50295}, {966, 30970}, {978, 26064}, {997, 64710}, {1001, 69300}, {1125, 31034}, {1654, 26139}, {1698, 33112}, {2177, 4023}, {2478, 59307}, {2895, 26102}, {3120, 4384}, {3305, 15523}, {3583, 48852}, {3624, 37635}, {3626, 21283}, {3715, 33162}, {3720, 5739}, {3739, 24725}, {3740, 33074}, {3741, 63100}, {3816, 49724}, {3826, 31134}, {3842, 33070}, {3846, 5278}, {3886, 70522}, {3938, 4104}, {4011, 56810}, {4356, 49986}, {4358, 50308}, {4359, 4703}, {4383, 29663}, {4388, 26037}, {4417, 29661}, {4423, 33081}, {4655, 24589}, {4679, 17275}, {4683, 19804}, {4850, 24697}, {4886, 32915}, {5224, 32944}, {5233, 32917}, {5235, 17717}, {5256, 6536}, {5271, 69173}, {5284, 33084}, {5741, 29678}, {6535, 30568}, {7308, 29687}, {9330, 32847}, {9350, 44419}, {10436, 61707}, {14969, 15534}, {14997, 29633}, {15254, 33156}, {15481, 71795}, {15485, 33175}, {16569, 33083}, {16823, 33065}, {16825, 26580}, {17123, 29677}, {17257, 46901}, {17260, 29643}, {17271, 25531}, {17277, 25760}, {17331, 71801}, {17332, 36263}, {17335, 33115}, {17343, 30947}, {17346, 32919}, {17348, 33128}, {17349, 29631}, {17763, 70969}, {17770, 26627}, {19732, 33105}, {19742, 29635}, {20962, 35628}, {21020, 24703}, {24552, 70972}, {25496, 41809}, {25501, 63056}, {25502, 32863}, {26038, 32948}, {26098, 59306}, {27065, 32778}, {27081, 70483}, {27714, 54386}, {29639, 63978}, {29642, 31037}, {29647, 32911}, {29674, 35595}, {29845, 37652}, {30944, 71288}, {30957, 37653}, {31143, 33087}, {32781, 37679}, {32784, 37680}, {32852, 44307}, {32855, 33761}, {32941, 70970}, {32947, 59296}, {33076, 63961}, {33086, 62711}, {33107, 59312}, {33120, 60731}, {33174, 37687}, {38390, 58379}, {40998, 70516}, {43223, 63010}, {50290, 67211}, {51571, 70535}

X(72012) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 69252, 33161}, {333, 25960, 29662}, {748, 1211, 24943}, {756, 3966, 32854}, {3846, 5278, 24892}, {4359, 4703, 33098}, {4383, 69294, 29663}, {5743, 41002, 31}, {16825, 26580, 33143}, {17123, 32782, 29677}, {50295, 63003, 899}

X(72013) = X(1)X(3814)∩X(2)X(11)

X(72013) lies on these lines: {1, 3814}, {2, 11}, {3, 61521}, {4, 5253}, {5, 944}, {7, 37358}, {8, 496}, {10, 3885}, {12, 3622}, {20, 7681}, {21, 499}, {35, 17566}, {36, 10199}, {37, 29680}, {42, 24217}, {56, 5046}, {57, 5057}, {78, 25522}, {81, 37373}, {86, 14008}, {104, 6929}, {119, 7967}, {142, 7678}, {145, 1329}, {165, 31224}, {226, 64149}, {238, 29662}, {244, 3944}, {312, 33089}, {329, 5729}, {354, 5087}, {355, 6975}, {377, 10591}, {388, 5187}, {392, 70776}, {404, 1479}, {405, 26127}, {442, 5550}, {474, 9669}, {495, 17533}, {513, 26910}, {515, 6945}, {516, 9352}, {517, 6963}, {518, 27131}, {535, 37587}, {551, 7951}, {614, 33133}, {693, 15283}, {748, 33140}, {750, 33106}, {756, 29676}, {858, 17111}, {899, 33141}, {908, 3873}, {936, 5178}, {938, 26129}, {940, 33107}, {946, 6943}, {958, 37162}, {962, 6922}, {971, 17618}, {982, 1647}, {986, 28096}, {993, 3582}, {999, 5080}, {1054, 33094}, {1058, 5552}, {1086, 9335}, {1125, 2476}, {1149, 37716}, {1191, 54355}, {1210, 3869}, {1279, 29665}, {1385, 6941}, {1478, 37375}, {1484, 5790}, {1532, 5731}, {1538, 10167}, {1698, 24387}, {1699, 3306}, {1737, 3877}, {1836, 27003}, {1985, 19684}, {1997, 10327}, {2320, 6980}, {2475, 10896}, {2478, 2975}, {2551, 10529}, {2887, 30957}, {3006, 18743}, {3057, 25005}, {3060, 50362}, {3085, 6931}, {3090, 10806}, {3091, 12667}, {3120, 17063}, {3218, 17728}, {3219, 4679}, {3240, 37663}, {3241, 17757}, {3251, 21260}, {3259, 67627}, {3295, 27529}, {3304, 20060}, {3305, 5231}, {3315, 33144}, {3421, 11240}, {3436, 6919}, {3452, 3681}, {3486, 26476}, {3487, 37359}, {3523, 15908}, {3576, 6932}, {3583, 17579}, {3586, 35262}, {3589, 29864}, {3617, 3813}, {3621, 21031}, {3623, 12607}, {3624, 4197}, {3636, 37719}, {3662, 71110}, {3705, 4358}, {3720, 17717}, {3741, 25960}, {3742, 17605}, {3752, 33134}, {3753, 7743}, {3756, 3782}, {3772, 7292}, {3817, 5249}, {3822, 25055}, {3838, 27186}, {3840, 25760}, {3841, 34595}, {3846, 30942}, {3868, 21616}, {3870, 30827}, {3871, 26364}, {3872, 37704}, {3876, 10916}, {3884, 18395}, {3889, 21077}, {3891, 5211}, {3898, 6702}, {3913, 31246}, {3914, 5121}, {3920, 17721}, {3932, 46938}, {3975, 62482}, {4011, 24709}, {4038, 30981}, {4188, 6284}, {4189, 5433}, {4190, 5225}, {4202, 25492}, {4294, 6921}, {4302, 13587}, {4313, 25962}, {4342, 51433}, {4383, 33142}, {4387, 33168}, {4389, 53564}, {4392, 4415}, {4417, 29824}, {4425, 25378}, {4442, 17490}, {4511, 5722}, {4514, 37758}, {4640, 61649}, {4661, 51463}, {4666, 5219}, {4671, 69091}, {4678, 9711}, {4772, 21927}, {4847, 38210}, {4850, 24210}, {4855, 66682}, {4857, 25440}, {4860, 17483}, {4861, 11373}, {4871, 25957}, {4872, 26229}, {4885, 11193}, {4999, 16865}, {5010, 6681}, {5014, 5205}, {5047, 26363}, {5056, 10585}, {5084, 5260}, {5086, 9581}, {5123, 5919}, {5133, 23304}, {5141, 7173}, {5180, 36279}, {5204, 15680}, {5226, 52254}, {5233, 17135}, {5265, 57285}, {5272, 33129}, {5276, 9599}, {5277, 9665}, {5289, 61717}, {5303, 6872}, {5311, 17722}, {5316, 24386}, {5328, 36845}, {5330, 10573}, {5333, 14009}, {5361, 41002}, {5422, 68770}, {5435, 44447}, {5439, 6845}, {5440, 18527}, {5443, 30143}, {5533, 12647}, {5603, 6882}, {5658, 8226}, {5704, 68599}, {5708, 14450}, {5718, 29814}, {5741, 10453}, {5744, 33994}, {5748, 10580}, {5818, 10943}, {5883, 18393}, {5886, 6830}, {5901, 6971}, {5902, 11813}, {6063, 40619}, {6075, 61729}, {6172, 41555}, {6173, 30311}, {6261, 6828}, {6376, 71488}, {6713, 6950}, {6735, 63993}, {6829, 11230}, {6831, 68034}, {6840, 22753}, {6850, 10598}, {6880, 59421}, {6891, 10531}, {6893, 10785}, {6900, 45630}, {6902, 11249}, {6906, 26492}, {6907, 54445}, {6909, 26333}, {6911, 18499}, {6914, 18861}, {6915, 48482}, {6923, 59391}, {6938, 38693}, {6940, 10525}, {6944, 12116}, {6946, 37820}, {6948, 10724}, {6949, 10267}, {6959, 11491}, {6965, 22758}, {6970, 37000}, {6972, 11496}, {6973, 12115}, {6979, 11500}, {6981, 10786}, {6990, 61268}, {7191, 17720}, {7491, 61534}, {7504, 10198}, {7679, 38316}, {7705, 10039}, {7746, 68893}, {7790, 27195}, {7956, 9812}, {7988, 10582}, {8033, 30992}, {8086, 8126}, {8125, 8379}, {8165, 56879}, {8727, 9776}, {9580, 31190}, {9597, 63537}, {9624, 67856}, {9668, 16371}, {9670, 20066}, {9710, 46932}, {9778, 37364}, {9780, 17527}, {9957, 17619}, {9961, 63989}, {10072, 54391}, {10177, 61008}, {10526, 45977}, {10587, 10588}, {10893, 37437}, {10980, 31164}, {11113, 15325}, {11124, 15280}, {11269, 32911}, {11393, 35973}, {11682, 67931}, {11814, 29673}, {12053, 14923}, {12114, 13729}, {12572, 62827}, {12915, 17615}, {12943, 40726}, {12953, 37256}, {13161, 28018}, {13405, 62862}, {13411, 62870}, {13747, 15171}, {14011, 64415}, {15016, 64762}, {15338, 37307}, {16062, 26094}, {16067, 19785}, {16484, 29678}, {16569, 33136}, {16610, 33131}, {16842, 31493}, {16859, 24953}, {16862, 26060}, {16920, 26686}, {17018, 37662}, {17019, 17723}, {17024, 17602}, {17064, 26724}, {17074, 34029}, {17122, 33104}, {17123, 24892}, {17124, 33109}, {17125, 33138}, {17126, 37634}, {17127, 37646}, {17174, 18165}, {17244, 20544}, {17279, 29872}, {17352, 23344}, {17449, 33101}, {17536, 19854}, {17550, 26959}, {17575, 19877}, {17595, 33100}, {17597, 33153}, {17606, 58679}, {17616, 58623}, {17681, 28734}, {17718, 29817}, {17725, 29818}, {17768, 23958}, {17777, 32933}, {17778, 30960}, {17917, 37371}, {17923, 37372}, {18135, 69254}, {18139, 30947}, {18201, 33098}, {18228, 64153}, {18230, 64443}, {18391, 62826}, {18444, 48697}, {18515, 61566}, {19634, 40215}, {19860, 50443}, {19878, 41859}, {20070, 50031}, {20107, 65142}, {20196, 24392}, {20486, 29572}, {20545, 41839}, {20942, 69301}, {21214, 21935}, {21241, 25961}, {21242, 26037}, {21252, 26913}, {22172, 24230}, {23155, 67494}, {23351, 46402}, {23542, 25513}, {23708, 54318}, {24003, 33117}, {24045, 68950}, {24239, 28606}, {24351, 30019}, {24477, 31018}, {24954, 68616}, {25079, 36568}, {25496, 29845}, {25525, 52255}, {25533, 40214}, {25681, 34772}, {25722, 66213}, {25958, 69092}, {26019, 26626}, {26098, 37633}, {26102, 33105}, {26475, 54361}, {26532, 63587}, {26637, 64409}, {26688, 33118}, {26801, 33046}, {26842, 61716}, {27383, 50206}, {27385, 63999}, {29631, 70942}, {29635, 32944}, {29638, 40172}, {29649, 32844}, {29655, 32931}, {29664, 44307}, {29667, 30818}, {29668, 32775}, {29820, 33127}, {29822, 44411}, {29827, 69294}, {29843, 46897}, {29844, 32927}, {30144, 37702}, {30147, 37735}, {30566, 32937}, {30567, 33078}, {30588, 54884}, {30699, 30778}, {30829, 69250}, {30830, 68951}, {30946, 69083}, {30950, 33111}, {30961, 71696}, {31008, 69076}, {31137, 33081}, {31145, 44847}, {31160, 37602}, {31231, 35258}, {31397, 62835}, {31418, 37462}, {32852, 70219}, {32915, 71085}, {33102, 70256}, {33112, 37674}, {33120, 59511}, {33137, 37680}, {33139, 37679}, {33864, 62697}, {34629, 35000}, {35645, 56878}, {37354, 70419}, {37355, 59297}, {37365, 70484}, {37370, 70481}, {37692, 64675}, {37726, 59388}, {38058, 64109}, {39595, 62807}, {40688, 62221}, {40998, 59491}, {42356, 62778}, {42819, 61648}, {44623, 63072}, {47399, 68378}, {48627, 48645}, {49454, 53619}, {50102, 50533}, {50444, 64673}, {50824, 61580}, {51783, 63145}, {51785, 63130}, {54342, 58453}, {55867, 66515}, {57518, 70837}, {58564, 61013}, {60919, 61026}, {60944, 64738}, {62297, 63147}, {62806, 66632}, {63964, 64953}, {64002, 64124}, {64735, 66045}, {67214, 67474}, {68946, 71609}

X(72013) = reflection of X(26910) in the X(1)X(3) X(72013) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3825, 4193}, {1, 4193, 11681}, {2, 11, 11680}, {2, 149, 1376}, {2, 497, 100}, {2, 2550, 9342}, {2, 5274, 3434}, {2, 10584, 31272}, {2, 11238, 49719}, {2, 11680, 33108}, {2, 20075, 59572}, {2, 26105, 5284}, {2, 33110, 4413}, {2, 61155, 5432}, {11, 3816, 2}, {11, 3925, 3829}, {12, 3847, 5154}, {100, 497, 34611}, {100, 5284, 54348}, {149, 1376, 49719}, {244, 3944, 33146}, {312, 69134, 33089}, {354, 5087, 31053}, {474, 9669, 52367}, {496, 4187, 8}, {497, 59572, 20075}, {908, 11019, 3873}, {982, 69173, 33151}, {999, 5080, 34605}, {999, 17556, 5080}, {1125, 7741, 2476}, {1210, 41012, 3869}, {1329, 37722, 145}, {1376, 11238, 149}, {1479, 10200, 404}, {1621, 31272, 2}, {1647, 69173, 982}, {1699, 3306, 20292}, {1699, 31249, 3306}, {2478, 3086, 2975}, {3434, 5274, 10707}, {3436, 14986, 62837}, {3452, 26015, 3681}, {3576, 67857, 6932}, {3622, 5154, 12}, {3624, 25639, 4197}, {3705, 4358, 32862}, {3742, 17605, 31019}, {3817, 5249, 10129}, {3840, 25760, 33172}, {3846, 30942, 32782}, {4413, 11235, 33110}, {5084, 10527, 5260}, {5084, 47743, 10527}, {5141, 46934, 25466}, {5187, 10586, 388}, {5316, 24386, 25006}, {5432, 6667, 2}, {5432, 49736, 61155}, {6284, 6691, 4188}, {6667, 49736, 5432}, {6872, 7288, 5303}, {6919, 14986, 3436}, {7173, 25466, 5141}, {7956, 37374, 9812}, {7988, 10582, 31266}, {8167, 31245, 2}, {8227, 63963, 6828}, {9581, 19861, 5086}, {9957, 17619, 70802}, {10589, 26105, 2}, {10896, 25524, 2475}, {12053, 24982, 14923}, {17527, 24390, 9780}, {17575, 31419, 19877}, {17728, 24703, 3218}, {20075, 59572, 100}, {20196, 24392, 67097}, {24386, 25006, 64361}, {24709, 33119, 4011}, {38028, 60759, 6980}, {40998, 59491, 62838}

X(72014) = X(1)X(26724)∩X(2)X(11)

X(72014) lies on these lines: {1, 26724}, {2, 11}, {3, 26060}, {5, 6361}, {8, 8728}, {9, 20292}, {10, 3681}, {12, 46933}, {37, 33131}, {40, 6991}, {45, 33100}, {57, 30312}, {63, 38052}, {75, 32862}, {142, 3873}, {145, 9710}, {165, 10883}, {210, 31019}, {226, 7679}, {329, 442}, {377, 5260}, {388, 50237}, {404, 19854}, {443, 2975}, {474, 41345}, {484, 1698}, {495, 53620}, {498, 31254}, {499, 17535}, {516, 41858}, {518, 27186}, {612, 33129}, {740, 29854}, {748, 33109}, {750, 33138}, {756, 17889}, {899, 33111}, {940, 33139}, {958, 20067}, {984, 33146}, {999, 57005}, {1086, 7226}, {1211, 25959}, {1329, 18231}, {1479, 17536}, {1738, 28606}, {1836, 27065}, {1961, 33128}, {2308, 50301}, {2887, 26037}, {3006, 19804}, {3125, 69845}, {3219, 5880}, {3240, 17056}, {3295, 50207}, {3436, 4208}, {3452, 10129}, {3475, 62236}, {3525, 26470}, {3579, 6990}, {3616, 17529}, {3617, 25466}, {3634, 4193}, {3662, 4981}, {3679, 33081}, {3696, 32858}, {3697, 3824}, {3705, 24589}, {3715, 17484}, {3720, 32865}, {3739, 29667}, {3740, 31053}, {3741, 25961}, {3752, 29664}, {3755, 62840}, {3772, 5297}, {3790, 4980}, {3813, 46934}, {3822, 19875}, {3823, 29679}, {3825, 19872}, {3828, 7951}, {3836, 31330}, {3838, 27131}, {3842, 32776}, {3870, 38200}, {3876, 12609}, {3890, 24564}, {3920, 24789}, {3932, 28605}, {3936, 59296}, {3968, 12736}, {3980, 33115}, {3989, 33149}, {3996, 29830}, {4002, 17658}, {4042, 32863}, {4078, 42044}, {4188, 24953}, {4202, 19853}, {4294, 31259}, {4302, 16858}, {4359, 29641}, {4361, 33093}, {4363, 33166}, {4383, 33112}, {4384, 33075}, {4392, 40688}, {4415, 9330}, {4418, 24693}, {4425, 25352}, {4430, 25557}, {4442, 41839}, {4645, 5278}, {4651, 18134}, {4666, 20195}, {4678, 15888}, {4847, 38204}, {4859, 62833}, {4863, 29817}, {4872, 28653}, {4999, 17572}, {5014, 16823}, {5056, 15908}, {5080, 17528}, {5086, 64673}, {5133, 23305}, {5141, 46931}, {5154, 46930}, {5173, 61008}, {5178, 54392}, {5217, 15674}, {5220, 17483}, {5224, 20347}, {5235, 26034}, {5251, 17579}, {5253, 19843}, {5268, 33133}, {5271, 33078}, {5300, 16817}, {5303, 6904}, {5311, 33132}, {5435, 64737}, {5550, 24390}, {5584, 6894}, {5657, 6881}, {5687, 50726}, {5737, 33086}, {5741, 26038}, {5743, 25958}, {5745, 9352}, {5775, 17757}, {5790, 9803}, {5818, 37438}, {5853, 62862}, {5905, 38057}, {5927, 6937}, {6284, 16859}, {6327, 17277}, {6684, 6828}, {6703, 29868}, {6829, 26446}, {6830, 11231}, {6883, 18499}, {6884, 10310}, {6900, 35239}, {6932, 10175}, {6943, 31423}, {6945, 54447}, {6976, 10724}, {6980, 64193}, {6993, 64111}, {7191, 17278}, {7321, 71793}, {7486, 7681}, {7678, 9580}, {7741, 51073}, {8226, 9778}, {8580, 31266}, {8727, 64108}, {9347, 40940}, {9655, 50713}, {9668, 17542}, {9669, 16854}, {9708, 44217}, {9776, 64153}, {10303, 63980}, {10527, 17582}, {11019, 64361}, {11108, 52367}, {11220, 64113}, {11517, 63269}, {12558, 63469}, {14005, 19784}, {14009, 64425}, {15171, 17590}, {16062, 19874}, {16465, 61028}, {16569, 33105}, {16610, 29680}, {16819, 33840}, {16825, 33072}, {16830, 32774}, {16853, 26127}, {16862, 31493}, {16991, 28604}, {17020, 17723}, {17057, 51569}, {17063, 29690}, {17122, 24892}, {17123, 33104}, {17124, 33140}, {17125, 33106}, {17135, 17234}, {17140, 65198}, {17163, 17233}, {17181, 25585}, {17245, 29814}, {17337, 63979}, {17346, 20290}, {17356, 29666}, {17531, 26363}, {17605, 58451}, {17625, 60988}, {17776, 64010}, {18395, 67946}, {19732, 33083}, {19878, 37720}, {20057, 64200}, {20070, 68601}, {20556, 33838}, {20718, 26911}, {21020, 29674}, {21026, 32778}, {21027, 29687}, {21241, 25960}, {21242, 30957}, {21674, 24440}, {21926, 27268}, {21949, 33134}, {24199, 63147}, {24248, 33761}, {24325, 33117}, {24342, 26061}, {24387, 34595}, {24477, 65112}, {24703, 35595}, {25351, 33125}, {25525, 67097}, {25639, 64850}, {25970, 26540}, {26015, 61031}, {26098, 37680}, {26102, 33136}, {26593, 27475}, {26627, 33121}, {26723, 62807}, {26792, 61716}, {26893, 71714}, {27164, 70599}, {27754, 59547}, {28461, 35249}, {28611, 30172}, {28629, 34195}, {29642, 32945}, {29653, 32860}, {29661, 60714}, {29677, 31252}, {29678, 56009}, {29685, 40328}, {29850, 50302}, {29851, 32941}, {29853, 49473}, {30311, 60986}, {30315, 67046}, {30613, 59754}, {30950, 33141}, {30970, 33174}, {31151, 33080}, {32781, 56508}, {32784, 59306}, {32859, 60731}, {32929, 69755}, {33069, 49457}, {33107, 37679}, {33123, 36480}, {33137, 37633}, {33142, 37674}, {33157, 50314}, {36845, 60996}, {37572, 58449}, {38053, 62863}, {38093, 44841}, {40022, 70837}, {40216, 59255}, {42029, 69301}, {44447, 59412}, {46916, 58463}, {48628, 48648}, {48643, 64178}, {49474, 69295}, {49769, 62226}, {52255, 62838}, {55867, 64112}, {58433, 64162}, {62870, 63146}, {63287, 64343}, {64171, 70776}

X(72014) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 149, 4423}, {2, 2550, 1621}, {2, 3434, 5284}, {2, 3925, 33108}, {2, 33108, 11680}, {2, 33110, 1001}, {2, 61156, 5432}, {10, 5249, 3681}, {10, 25957, 32782}, {10, 41859, 4197}, {10, 61029, 5249}, {75, 69250, 32862}, {142, 25006, 3873}, {377, 19855, 5260}, {442, 9780, 11681}, {756, 17889, 33151}, {984, 69253, 33146}, {1001, 33110, 34611}, {1329, 34501, 46932}, {1621, 2550, 49719}, {1698, 3841, 2476}, {3823, 31993, 29679}, {3826, 3925, 2}, {3836, 31330, 33172}, {3838, 61686, 27131}, {4359, 29641, 33089}, {16569, 33105, 37651}, {17529, 31419, 3616}, {19843, 37462, 5253}, {21949, 44307, 33134}, {26723, 64174, 62807}, {38200, 41867, 3870}

X(72015) = X(1)X(2)∩X(76)X(693)

X(72015) lies on these lines: {1, 2}, {76, 693}, {321, 3675}, {668, 30993}, {1083, 1150}, {1086, 41683}, {2087, 69512}, {2486, 18150}, {3573, 14829}, {3662, 19945}, {4033, 53564}, {4358, 71755}, {7185, 69660}, {16479, 70483}, {17245, 69519}, {17280, 71801}, {20917, 56893}, {21070, 70114}, {23814, 71557}, {24237, 61183}, {30583, 71050}, {32929, 67417}, {32942, 71819}, {36848, 71759}, {68768, 71479}

X(72015) = isotomic conjugate of the isogonal conjugate of X(24494)
X(72015) = barycentric product X(76)*X(24494)
X(72015) = barycentric quotient X(24494)/X(6)
X(72015) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3912, 71488, 68951}, {3912, 71753, 3661}

X(72016) = X(1)X(4234)∩X(2)X(3052)

X(72016) lies on these lines: {1, 4234}, {2, 3052}, {6, 3996}, {8, 48832}, {31, 333}, {43, 50300}, {55, 4203}, {75, 62834}, {81, 68969}, {86, 1621}, {141, 20101}, {171, 3840}, {190, 3920}, {212, 70426}, {312, 5269}, {345, 4344}, {390, 63013}, {516, 19786}, {595, 1010}, {612, 4676}, {643, 14534}, {752, 32783}, {894, 3744}, {902, 32772}, {1001, 70484}, {1043, 57280}, {1125, 33068}, {1150, 30652}, {1220, 5255}, {1376, 70481}, {1386, 32932}, {1836, 29634}, {1918, 70406}, {1961, 4432}, {1999, 49484}, {2308, 32945}, {2345, 70493}, {2886, 41806}, {3058, 29837}, {3112, 69752}, {3210, 38315}, {3474, 3616}, {3550, 25496}, {3617, 19723}, {3618, 17784}, {3666, 65166}, {3683, 16830}, {3685, 3745}, {3699, 27064}, {3750, 33682}, {3758, 3870}, {3759, 63131}, {3782, 29838}, {3838, 25529}, {3883, 19808}, {3886, 62842}, {3923, 17716}, {3943, 20069}, {3961, 4672}, {4038, 71414}, {4195, 5710}, {4307, 18134}, {4360, 32929}, {4386, 70722}, {4388, 30832}, {4389, 44447}, {4413, 70485}, {4418, 17469}, {4514, 63969}, {4650, 29652}, {4651, 68966}, {4673, 62809}, {4684, 62230}, {4685, 16477}, {5248, 37303}, {5264, 13740}, {5278, 30653}, {5294, 32850}, {5484, 64159}, {6679, 33109}, {7262, 36480}, {7290, 19804}, {8616, 25507}, {10327, 17354}, {10436, 62875}, {10453, 48805}, {11115, 40153}, {11319, 19731}, {11688, 16687}, {13735, 30116}, {13741, 49993}, {14829, 17126}, {16821, 64166}, {17018, 46922}, {17122, 25531}, {17127, 17277}, {17135, 41629}, {17147, 62855}, {17150, 17160}, {17271, 42058}, {17285, 33078}, {17289, 63134}, {17297, 33173}, {17305, 29648}, {17307, 33083}, {17601, 29650}, {17766, 32780}, {19684, 61155}, {20056, 63038}, {20064, 32782}, {20292, 26230}, {21747, 32864}, {24280, 62229}, {24295, 33079}, {24715, 29654}, {24725, 29848}, {24841, 32940}, {26065, 68589}, {26723, 69755}, {26840, 71322}, {27184, 64016}, {29636, 33094}, {29642, 50301}, {29645, 33095}, {29656, 33097}, {29686, 33067}, {29767, 39673}, {29815, 32933}, {29816, 32936}, {29819, 32845}, {29829, 34611}, {29831, 33146}, {29834, 33145}, {29842, 33154}, {29874, 48646}, {32777, 50289}, {32913, 49473}, {32914, 68999}, {32941, 62841}, {33073, 59692}, {33112, 41878}, {33116, 35263}, {33124, 50307}, {33126, 41011}, {33164, 50288}, {33309, 56191}, {33774, 69825}, {38047, 63139}, {42033, 49476}, {49470, 62845}, {49675, 71518}, {49705, 59628}, {56010, 70942}, {61358, 71451}, {62821, 71452}, {70158, 70975}

X(72016) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 5263, 333}, {171, 49482, 32942}, {1621, 70482, 86}, {3685, 3745, 34064}, {3923, 17716, 32926}, {4418, 17469, 32922}, {17126, 24552, 14829}, {17150, 64010, 17160}, {29648, 32950, 17305}, {32929, 62807, 4360}, {32940, 67210, 24841}

X(72017) = X(10)X(31)∩X(81)X(145)

X(72017) lies on these lines: {1, 16393}, {2, 3052}, {3, 962}, {6, 19998}, {8, 16394}, {10, 31}, {42, 19738}, {55, 11322}, {81, 145}, {86, 61155}, {100, 16405}, {105, 24183}, {171, 24552}, {321, 5269}, {333, 30652}, {519, 62846}, {528, 29829}, {595, 16454}, {750, 4871}, {896, 36480}, {899, 50300}, {902, 50302}, {956, 70110}, {995, 19336}, {1086, 29831}, {1150, 5263}, {1191, 19284}, {1211, 20064}, {1279, 26627}, {1386, 4706}, {1707, 4981}, {2177, 33682}, {3187, 49468}, {3210, 62855}, {3306, 61087}, {3550, 29825}, {3622, 16397}, {3624, 8616}, {3632, 32945}, {3635, 62821}, {3636, 62849}, {3649, 36508}, {3685, 9347}, {3745, 32929}, {3758, 3935}, {3891, 4418}, {3896, 62845}, {3920, 32933}, {3923, 3994}, {3936, 4307}, {3938, 4697}, {3943, 63099}, {3980, 17469}, {3996, 20048}, {4038, 71452}, {4344, 17740}, {4359, 62834}, {4363, 20045}, {4389, 5078}, {4413, 70483}, {4649, 71451}, {4651, 63060}, {4667, 50744}, {4668, 32864}, {4676, 5297}, {4678, 5793}, {4946, 61358}, {4954, 63108}, {5276, 54389}, {5764, 63168}, {5782, 61330}, {5880, 26230}, {7290, 24589}, {7292, 24594}, {9342, 70485}, {9345, 71414}, {10578, 16398}, {11346, 56191}, {14996, 68969}, {16396, 59297}, {16399, 26626}, {16400, 64951}, {16401, 38314}, {16403, 44447}, {16830, 62838}, {17023, 63145}, {17025, 24344}, {17154, 67538}, {17277, 30653}, {17281, 50000}, {17354, 60459}, {17495, 38315}, {17595, 29823}, {19701, 21000}, {20075, 63013}, {20101, 32782}, {20292, 29634}, {21010, 69903}, {24596, 71045}, {24715, 29636}, {26282, 37764}, {26580, 64016}, {29632, 50301}, {29645, 33094}, {29648, 33068}, {29815, 32939}, {29816, 32934}, {29824, 48805}, {29834, 33149}, {29837, 34611}, {29838, 33146}, {29842, 33145}, {29847, 33095}, {29848, 33097}, {30588, 56144}, {30834, 33112}, {31229, 33108}, {31855, 48867}, {32779, 50289}, {32912, 49449}, {32932, 62807}, {32941, 50001}, {32943, 37604}, {32944, 56010}, {33122, 50307}, {33139, 49720}, {33161, 50288}, {35263, 64174}, {36534, 62235}, {37610, 62740}, {41241, 67097}, {48811, 49999}, {49476, 50105}, {49983, 50283}, {49986, 51005}, {49987, 50294}, {49991, 50115}, {49996, 50313}, {62842, 63131}

X(72017) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {55, 70482, 19684}, {4418, 17716, 3891}, {5263, 17126, 1150}

X(72018) = X(2)X(3052)∩X(238)X(5278)

X(72018) lies on these lines: {1, 11346}, {2, 3052}, {6, 68971}, {31, 3840}, {55, 70483}, {100, 70485}, {190, 17024}, {238, 5278}, {321, 7290}, {595, 5192}, {748, 49482}, {752, 29677}, {896, 29668}, {902, 70942}, {1001, 19684}, {1150, 17127}, {1191, 11319}, {1279, 26223}, {1621, 16058}, {3616, 6147}, {3720, 50300}, {3744, 59596}, {3758, 29817}, {3870, 41241}, {3891, 32930}, {3995, 38315}, {3996, 14997}, {4011, 17469}, {4358, 62834}, {4387, 17150}, {4415, 29831}, {4423, 70482}, {4432, 17017}, {4651, 48805}, {4676, 7191}, {4683, 29660}, {4703, 29686}, {5014, 17353}, {5264, 49993}, {5284, 70419}, {5315, 49492}, {5550, 16351}, {5710, 56983}, {8616, 32944}, {11680, 31229}, {14829, 30653}, {15485, 32772}, {16393, 49997}, {16468, 32943}, {17120, 62866}, {17135, 63060}, {17350, 62814}, {17352, 33110}, {17354, 33090}, {17697, 62804}, {17721, 56520}, {19336, 71609}, {19993, 54389}, {20012, 32911}, {20064, 69092}, {24542, 26098}, {24703, 26230}, {24723, 29666}, {24725, 29672}, {27064, 62806}, {29638, 33096}, {29650, 70520}, {29679, 49709}, {29818, 32935}, {29829, 49736}, {29836, 33101}, {29839, 31179}, {29852, 33095}, {29853, 33097}, {30834, 33107}, {33074, 49705}, {41002, 48810}, {41839, 62855}, {49681, 69301}, {61358, 71414}, {62869, 71521}, {63074, 68969}, {64016, 69251}

X(72018) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {238, 24552, 5278}, {4676, 7191, 32933}, {17127, 32942, 1150}

X(72019) = X(2)X(3052)∩X(55)X(86)

X(72019) lies on these lines: {1, 42053}, {2, 3052}, {6, 59295}, {8, 41629}, {31, 17277}, {42, 41142}, {55, 86}, {75, 5269}, {81, 3996}, {100, 70482}, {171, 3741}, {190, 612}, {200, 3758}, {333, 17126}, {528, 29837}, {595, 56766}, {750, 30957}, {894, 40883}, {940, 68969}, {1010, 5264}, {1043, 5711}, {1086, 29838}, {1191, 56768}, {1211, 20101}, {1376, 59298}, {1621, 4210}, {2295, 21792}, {3474, 4389}, {3550, 50302}, {3616, 4428}, {3622, 8572}, {3685, 4682}, {3699, 26223}, {3745, 4360}, {3759, 62842}, {3769, 50314}, {3771, 50301}, {3871, 18185}, {3920, 32939}, {3961, 4697}, {3980, 17716}, {4061, 62231}, {4234, 30116}, {4307, 4417}, {4362, 68999}, {4413, 70481}, {4418, 32926}, {4421, 59297}, {4512, 4687}, {4640, 16830}, {4649, 71450}, {4650, 36480}, {4673, 37554}, {4676, 5268}, {4849, 17120}, {5224, 63140}, {5253, 18613}, {5278, 30652}, {5710, 20037}, {5793, 51674}, {5880, 29634}, {6327, 30832}, {7172, 14614}, {7322, 17336}, {9342, 70483}, {9345, 71452}, {9347, 32929}, {9778, 17321}, {11688, 20990}, {13735, 56191}, {15668, 21000}, {16569, 50300}, {17018, 42028}, {17122, 49482}, {17124, 25531}, {17297, 33171}, {17305, 33068}, {17307, 26034}, {17352, 26040}, {17377, 70517}, {17394, 37553}, {17490, 38315}, {17495, 62855}, {17601, 29644}, {17784, 63013}, {19284, 62804}, {19770, 59299}, {19804, 62834}, {19808, 63134}, {24715, 29645}, {25496, 56010}, {26627, 62806}, {27525, 60077}, {28606, 65166}, {29816, 32845}, {29829, 49719}, {29842, 33149}, {29847, 33094}, {30142, 63996}, {32911, 70416}, {32941, 37604}, {33076, 59628}, {33096, 59726}, {33106, 58443}, {33108, 41806}, {33116, 64174}, {33126, 50307}, {33137, 49720}, {33167, 50288}, {33682, 60714}, {36531, 59624}, {40940, 69755}, {41261, 50054}, {44446, 49748}, {49450, 62812}, {50291, 59544}, {59296, 68966}, {62821, 71451}, {63145, 69544}, {67964, 70973}

X(72019) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {55, 70484, 86}, {171, 5263, 14829}, {3745, 32932, 4360}, {3769, 50314, 55095}, {3980, 17716, 32922}, {9347, 32929, 34064}

X(72020) = X(2)X(3052)∩X(83)X(32008)

X(72020) lies on these lines: {1, 33309}, {2, 3052}, {11, 41806}, {31, 30957}, {55, 59298}, {83, 32008}, {86, 5284}, {109, 40420}, {171, 25531}, {190, 7191}, {238, 333}, {312, 7290}, {595, 13741}, {614, 4676}, {748, 5263}, {995, 13735}, {1001, 70481}, {1125, 33097}, {1191, 17697}, {1193, 52352}, {1222, 20039}, {1279, 27064}, {1386, 34064}, {1621, 15621}, {3242, 70742}, {3246, 3757}, {3434, 17352}, {3616, 11194}, {3622, 19722}, {3699, 3744}, {3715, 36534}, {3720, 42028}, {3752, 65166}, {3758, 4666}, {3957, 41241}, {3996, 4383}, {4011, 32926}, {4234, 49997}, {4252, 26093}, {4423, 70419}, {4432, 29821}, {4514, 17353}, {4672, 29820}, {4679, 29634}, {4703, 29660}, {4797, 26273}, {4883, 17120}, {4997, 66632}, {5211, 44416}, {5269, 30829}, {6057, 50015}, {6327, 17283}, {7262, 29668}, {8167, 70484}, {8616, 70942}, {13588, 54333}, {14829, 17127}, {15485, 25496}, {16477, 42057}, {17061, 17777}, {17123, 49482}, {17135, 68966}, {17277, 24552}, {17285, 33075}, {17305, 29666}, {17336, 62833}, {17350, 17597}, {17599, 71524}, {17605, 25529}, {17884, 18151}, {18743, 62834}, {19786, 40998}, {20011, 32911}, {20292, 27191}, {24542, 33107}, {24709, 29683}, {24725, 29853}, {24841, 29818}, {25507, 32772}, {26102, 50300}, {26139, 37634}, {28356, 71629}, {28360, 71444}, {29672, 33096}, {29814, 46922}, {29823, 33761}, {29824, 41629}, {31035, 62855}, {31289, 33109}, {32922, 32930}, {33079, 49705}, {38315, 41839}, {41002, 41816}, {41823, 49462}, {48805, 59296}, {49675, 71515}, {56983, 62804}, {62230, 64017}, {63996, 69268}, {64010, 68958}, {69024, 70722}, {69263, 70693}

X(72020) = crosssum of X(42) and X(23649)
X(72020) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {238, 32942, 333}, {614, 4676, 32939}, {24542, 33107, 41878}, {29818, 32938, 24841}

X(72021) = X(2)X(3052)∩X(8)X(19276)

X(72021) lies on these lines: {1, 19336}, {2, 3052}, {8, 19276}, {81, 20012}, {100, 11358}, {171, 1150}, {612, 32933}, {614, 24594}, {750, 3840}, {1376, 70482}, {1621, 4191}, {2975, 19530}, {3240, 19738}, {3616, 16371}, {3617, 4921}, {3744, 26627}, {3891, 3980}, {3925, 31229}, {3996, 14996}, {4038, 71451}, {4307, 5741}, {4359, 5269}, {4421, 29822}, {4682, 32929}, {4685, 62846}, {5192, 49993}, {5264, 16454}, {5278, 17126}, {5432, 31281}, {5710, 19284}, {5743, 20064}, {8580, 41241}, {9342, 70481}, {9347, 32932}, {16393, 30116}, {17124, 49482}, {17277, 30652}, {17490, 62855}, {24589, 62834}, {24715, 29847}, {24725, 59726}, {26223, 59596}, {29661, 50299}, {29823, 70256}, {29829, 34612}, {29831, 40688}, {29837, 49719}, {29846, 50301}, {32772, 56010}, {32945, 37604}, {33074, 59628}, {33104, 58443}, {33113, 64174}, {33142, 49720}, {41002, 42058}, {41809, 63140}, {50000, 50048}, {56768, 62804}, {59296, 63060}, {62821, 71450}

X(72021) = {X(100),X(70484)}-harmonic conjugate of X(19684)

X(72022) = X(2)X(3052)∩X(10)X(748)

X(72022) lies on these lines: {1, 41241}, {2, 3052}, {10, 748}, {11, 31229}, {31, 4871}, {45, 29823}, {145, 1191}, {149, 17352}, {238, 1150}, {329, 405}, {614, 32933}, {995, 11346}, {1001, 29822}, {1125, 24725}, {1621, 16373}, {3246, 26227}, {3315, 17350}, {3624, 16342}, {3632, 32943}, {3635, 61358}, {3744, 26688}, {3891, 3994}, {3996, 63096}, {4358, 7290}, {4383, 19998}, {4422, 29832}, {4676, 7292}, {4679, 26230}, {4706, 32929}, {4759, 36263}, {4906, 71793}, {4946, 71414}, {5087, 67425}, {5278, 32942}, {5333, 17588}, {5695, 68958}, {7191, 49447}, {8167, 70482}, {8692, 71478}, {10453, 63060}, {11322, 54333}, {14997, 20048}, {15485, 29825}, {16393, 71609}, {16483, 62401}, {16948, 26093}, {17125, 49482}, {17126, 25531}, {19738, 29814}, {24542, 30834}, {24593, 36277}, {24709, 29658}, {25378, 29859}, {26228, 30566}, {26282, 30990}, {29830, 31179}, {29853, 33096}, {30588, 62901}, {30950, 50300}, {31035, 38315}, {31289, 33104}, {32774, 40998}, {32930, 49493}, {33854, 54389}, {40480, 65698}, {49987, 50105}, {62814, 70742}, {62869, 71515}

{X(5284),X(70481)}-harmonic conjugate of X(19684)

X(72023) = X(2)X(3052)∩X(8)X(19290)

X(72023) lies on these lines: {2, 3052}, {8, 19290}, {43, 19738}, {81, 59295}, {171, 5278}, {551, 17782}, {750, 3741}, {940, 20011}, {1376, 19684}, {1621, 16059}, {3616, 16417}, {4413, 70482}, {5241, 20064}, {5269, 24589}, {5297, 32933}, {7191, 24594}, {9342, 70419}, {9345, 71450}, {9350, 33682}, {9352, 16830}, {9780, 19277}, {16393, 56191}, {17122, 24552}, {19336, 30116}, {20037, 56768}, {24620, 62855}, {24693, 29683}, {29678, 50299}, {29829, 49732}, {36534, 65112}, {46933, 64424}, {59298, 70484}

X(72024) = X(2)X(3052)∩X(238)X(30957)

X(72024) lies on these lines: {2, 3052}, {238, 30957}, {748, 3741}, {1279, 26688}, {1616, 20039}, {1621, 59298}, {3315, 70742}, {3474, 24183}, {3616, 16857}, {3720, 19738}, {4383, 20011}, {4387, 68958}, {4423, 19684}, {4666, 41241}, {5284, 70485}, {7292, 32933}, {11346, 49997}, {16345, 70481}, {17123, 24552}, {17127, 25531}, {29824, 63060}, {37680, 59295}, {63096, 68969}
{X(4423),X(70483)}-harmonic conjugate of X(19684)

X(72025) = X(1)X(3710)∩X(2)X(902)

X(72025) lies on these lines: {1, 3710}, {2, 902}, {31, 29637}, {63, 29660}, {149, 29867}, {226, 29860}, {238, 1211}, {497, 29856}, {551, 56078}, {595, 28242}, {846, 1125}, {894, 29672}, {968, 29646}, {1279, 32780}, {1386, 33158}, {1621, 29633}, {1698, 62875}, {2308, 20086}, {3052, 33174}, {3120, 29871}, {3219, 29686}, {3589, 3750}, {3618, 42042}, {3624, 4512}, {3685, 29654}, {3744, 33159}, {3757, 24295}, {3771, 70481}, {3915, 19879}, {3923, 33147}, {3944, 29855}, {3961, 17353}, {3971, 29838}, {3995, 29834}, {4011, 29634}, {4414, 29666}, {4428, 47355}, {4432, 19786}, {4672, 33124}, {4676, 26128}, {4685, 63051}, {5259, 37225}, {6679, 32942}, {7191, 33167}, {7290, 32778}, {13742, 59311}, {16468, 33171}, {17024, 33161}, {17126, 29677}, {17127, 24943}, {17165, 29836}, {17279, 17716}, {17354, 32920}, {17357, 33079}, {17368, 29651}, {17398, 60711}, {17469, 32847}, {17593, 59580}, {17596, 35263}, {17598, 44416}, {17715, 38047}, {18134, 50300}, {18201, 59574}, {19836, 54354}, {21214, 37176}, {21747, 32863}, {24210, 29859}, {24542, 32772}, {24552, 33138}, {25055, 26728}, {25496, 29640}, {25531, 58443}, {26061, 62806}, {26065, 62865}, {26083, 29669}, {26098, 29858}, {26223, 29638}, {26230, 32930}, {27064, 29656}, {28595, 49709}, {29642, 70419}, {29663, 61155}, {29674, 62834}, {29676, 56519}, {29818, 33170}, {29819, 32849}, {29821, 59692}, {29831, 32925}, {29842, 41839}, {29846, 70483}, {29851, 70482}, {29852, 32929}, {29865, 33107}, {29869, 33112}, {29874, 69173}, {30653, 33080}, {31137, 37642}, {32777, 32866}, {32781, 70834}, {32857, 33123}, {32865, 48805}, {33092, 38315}, {33118, 49473}, {33132, 49484}, {33166, 67210}, {37652, 50311}, {42033, 49472}, {55901, 70790}, {62841, 63057}, {62855, 69295}, {63020, 69297}

X(72025) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 49482, 33109}, {31, 29637, 33085}, {4676, 26128, 33099}, {6679, 32942, 33140}, {17127, 24943, 33082}, {17469, 33157, 32847}, {26230, 32930, 33152}

X(72026) = X(1)X(345)∩X(2)X(902)

X(72026) lies on these lines: {1, 345}, {2, 902}, {31, 32782}, {55, 29633}, {57, 29660}, {149, 29863}, {165, 631}, {171, 29637}, {192, 29842}, {238, 5743}, {726, 29838}, {846, 35263}, {894, 29656}, {1125, 17596}, {1386, 33160}, {2108, 43223}, {2308, 33175}, {2895, 21747}, {3052, 32784}, {3120, 29874}, {3218, 29686}, {3434, 29856}, {3589, 60714}, {3616, 17591}, {3618, 42043}, {3685, 29645}, {3712, 17600}, {3744, 32780}, {3745, 33158}, {3749, 29659}, {3771, 70419}, {3914, 29859}, {3920, 33164}, {3923, 29634}, {3961, 5294}, {4028, 69632}, {4414, 29648}, {4417, 50300}, {4418, 26230}, {4421, 47355}, {4672, 33126}, {4697, 33124}, {5248, 37030}, {5249, 29860}, {5255, 17698}, {5259, 13731}, {5263, 6679}, {5269, 29674}, {6703, 16484}, {7081, 24295}, {11354, 37716}, {16468, 63037}, {16823, 59628}, {17126, 24943}, {17140, 29836}, {17147, 29834}, {17155, 29831}, {17353, 59684}, {17368, 29670}, {17469, 32779}, {17526, 59311}, {17594, 29646}, {17716, 32777}, {17889, 29855}, {19836, 37603}, {19875, 48798}, {21242, 41806}, {23703, 56451}, {24552, 33140}, {26065, 49448}, {26128, 32857}, {26223, 29848}, {26627, 29853}, {29632, 70482}, {29636, 32929}, {29640, 32772}, {29642, 70484}, {29647, 61155}, {29654, 32932}, {29815, 33161}, {29816, 32849}, {29819, 33168}, {29829, 71452}, {29837, 71414}, {29839, 33682}, {29865, 33112}, {29867, 33110}, {29871, 69253}, {30652, 33080}, {31137, 63078}, {32775, 33099}, {32778, 62834}, {32848, 62855}, {32855, 38315}, {33121, 49473}, {33135, 49484}, {33141, 48805}, {33156, 62807}, {33170, 67210}, {33171, 62841}, {33174, 37540}, {37646, 48810}, {37666, 50316}, {37683, 50311}, {41629, 50315}, {59574, 71322}, {69294, 70834}

X(72026) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 49482, 33106}, {31, 32783, 33082}, {3923, 29634, 33152}, {4418, 26230, 33147}, {5255, 17698, 19879}, {5263, 6679, 33138}, {17126, 24943, 33085}, {17469, 32779, 32866}, {17716, 32777, 32847}

X(72027) = X(1)X(33168)∩X(2)X(902)

X(72027) lies on these lines: {1, 33168}, {2, 902}, {31, 1211}, {55, 29647}, {57, 29686}, {100, 29663}, {171, 24943}, {345, 29816}, {750, 29677}, {894, 29848}, {1054, 29666}, {2308, 63009}, {2550, 29867}, {3052, 69294}, {3210, 29834}, {3434, 29863}, {3685, 29847}, {3745, 33156}, {3749, 29685}, {3771, 70482}, {3920, 33161}, {3980, 26230}, {4062, 62845}, {4418, 29634}, {4512, 6536}, {4697, 33122}, {5263, 24892}, {5269, 15523}, {5311, 59692}, {5739, 21747}, {5741, 50300}, {6703, 62849}, {9347, 33158}, {10436, 29689}, {10459, 37176}, {17126, 32783}, {17147, 29842}, {17155, 29838}, {17384, 63211}, {17594, 68945}, {17596, 29648}, {17716, 32779}, {17740, 29819}, {17889, 29874}, {20086, 33175}, {24165, 29831}, {24342, 29681}, {24552, 29662}, {26627, 29672}, {27003, 29660}, {27186, 29860}, {29632, 70484}, {29636, 32932}, {29645, 32929}, {29661, 50302}, {29678, 32772}, {29815, 33167}, {29837, 71452}, {29846, 70419}, {29855, 69253}, {29856, 33110}, {29859, 33131}, {30614, 67210}, {30652, 33082}, {31136, 37642}, {31247, 50296}, {32775, 33098}, {32781, 37540}, {32855, 62855}, {33160, 62807}, {33171, 63057}, {33173, 37604}, {36263, 59574}, {36480, 56520}, {37634, 48810}, {37639, 50311}, {48803, 54310}, {62834, 69252}

X(72027) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4418, 29634, 33143}, {17126, 32783, 33080}, {17716, 32779, 32854}

X(72028) = X(1)X(33166)∩X(2)X(902)

X(72028) lies on these lines: {1, 33166}, {2, 902}, {9, 29686}, {31, 29677}, {238, 24943}, {344, 29816}, {405, 28377}, {497, 29867}, {748, 5743}, {846, 29666}, {894, 29853}, {968, 29684}, {1001, 29647}, {1201, 17526}, {1279, 26061}, {1621, 29663}, {3219, 29660}, {3589, 62849}, {3616, 3989}, {3624, 4338}, {3685, 29852}, {3720, 63013}, {3771, 70483}, {3938, 17353}, {3944, 29871}, {3971, 29831}, {4011, 26230}, {4432, 32774}, {4676, 33098}, {6536, 66515}, {6679, 29662}, {7191, 33161}, {7290, 15523}, {10459, 13742}, {16468, 33173}, {17024, 33164}, {17127, 29637}, {17279, 17469}, {17352, 32945}, {17354, 32923}, {17357, 33074}, {17449, 26065}, {17776, 29819}, {18139, 50300}, {19742, 50311}, {24542, 25496}, {24892, 32942}, {26098, 29869}, {26223, 29672}, {27064, 29638}, {28352, 37176}, {29632, 70481}, {29668, 56520}, {29678, 32944}, {29687, 62834}, {29818, 33163}, {29834, 41839}, {29836, 32937}, {29838, 64178}, {29842, 31035}, {29846, 70485}, {29851, 70419}, {29855, 69173}, {29858, 33107}, {29860, 31053}, {30653, 33085}, {32854, 33157}, {32930, 33143}, {33159, 62806}, {33171, 63037}, {33174, 70834}, {38049, 67208}, {38315, 69295}, {50315, 63060}

X(72028) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4676, 33123, 33098}, {17127, 29637, 33080}, {24542, 25496, 29661}

X(72029) = X(1)X(17740)∩X(2)X(902)

X(72029) lies on these lines: {1, 17740}, {2, 902}, {35, 37255}, {43, 3618}, {100, 29633}, {141, 171}, {142, 29860}, {165, 12610}, {193, 62841}, {238, 5241}, {612, 33164}, {750, 29637}, {752, 30832}, {1054, 1125}, {1376, 47355}, {1738, 29859}, {1961, 59692}, {2550, 29856}, {3011, 24342}, {3210, 29842}, {3306, 29660}, {3589, 56009}, {3624, 6921}, {3679, 24597}, {3745, 33160}, {3750, 6703}, {3757, 59628}, {3769, 48630}, {3771, 70484}, {3920, 33167}, {3961, 49529}, {3980, 29634}, {4023, 16477}, {4362, 48628}, {4363, 17725}, {4418, 33152}, {4434, 17289}, {4657, 17601}, {4682, 33158}, {4697, 33126}, {5205, 24295}, {5218, 29825}, {5233, 50300}, {5259, 28238}, {5263, 21242}, {5269, 32778}, {5315, 28289}, {5955, 16478}, {7081, 63019}, {7222, 33144}, {9347, 33156}, {10436, 29675}, {16394, 37716}, {17126, 33082}, {17495, 29834}, {17716, 32866}, {17779, 38049}, {18201, 71322}, {19856, 32917}, {21747, 37656}, {24165, 29838}, {24217, 48805}, {25055, 62695}, {26128, 48629}, {26627, 29638}, {26758, 32843}, {27003, 29686}, {27064, 59726}, {29640, 50302}, {29645, 32932}, {29658, 50314}, {29816, 33168}, {29829, 71451}, {29846, 70482}, {29847, 32929}, {29862, 64174}, {29863, 33110}, {29874, 69253}, {30811, 50301}, {31229, 33138}, {32775, 32857}, {32779, 32847}, {32784, 37540}, {32913, 49505}, {32942, 58443}, {33084, 40341}, {33169, 49690}, {33171, 37604}, {36531, 54357}, {37176, 59311}, {37684, 50311}, {42042, 63013}, {46918, 50756}, {48854, 59779}, {49489, 70971}, {59297, 67025}

X(72029) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {171, 32783, 33085}, {3980, 29634, 33147}

X(72030) = X(1)X(344)∩X(2)X(902)

X(72030) lies on these lines: {1, 344}, {2, 902}, {9, 29660}, {10, 49704}, {141, 238}, {142, 3624}, {193, 16468}, {519, 17268}, {551, 25101}, {595, 28256}, {614, 33167}, {748, 32783}, {752, 17283}, {894, 1125}, {908, 29860}, {1001, 29633}, {1054, 35263}, {1279, 33159}, {1698, 60846}, {1757, 49505}, {3161, 51035}, {3246, 17357}, {3589, 16484}, {3616, 31302}, {3679, 16487}, {3731, 25055}, {3763, 8692}, {3771, 70485}, {3923, 48627}, {3952, 29836}, {4011, 33152}, {4026, 51127}, {4402, 49474}, {4423, 37581}, {4432, 16706}, {4473, 49520}, {4649, 6329}, {4655, 48637}, {4676, 32857}, {4693, 17366}, {4709, 29590}, {4759, 6646}, {4902, 50116}, {4966, 16477}, {5222, 49469}, {5241, 17123}, {5263, 31289}, {5294, 29820}, {5550, 26806}, {6666, 36531}, {7191, 33164}, {7229, 16020}, {7290, 29674}, {8245, 10165}, {15492, 51003}, {16801, 17277}, {16823, 24295}, {16825, 48628}, {17045, 60690}, {17121, 49764}, {17127, 29677}, {17234, 50300}, {17264, 49472}, {17265, 50301}, {17279, 32847}, {17280, 50023}, {17288, 49710}, {17307, 50297}, {17336, 50285}, {17337, 48810}, {17338, 36480}, {17339, 49455}, {17349, 50311}, {17352, 32941}, {17356, 24715}, {17368, 24331}, {17526, 21214}, {19856, 20179}, {21242, 32942}, {24542, 29640}, {24597, 31137}, {24821, 59579}, {25893, 59767}, {25992, 37588}, {26223, 29853}, {26685, 49448}, {26688, 29848}, {27064, 29672}, {27065, 29686}, {29632, 70483}, {29642, 70481}, {29818, 33166}, {29831, 64178}, {29834, 31035}, {29838, 59517}, {29869, 33107}, {29871, 69173}, {31229, 33140}, {32866, 33157}, {32930, 33147}, {33087, 40341}, {33099, 33123}, {33165, 49690}, {34595, 66676}, {36232, 71705}, {37681, 50316}, {48640, 50308}, {49532, 54389}, {49740, 51126}, {50295, 63121}, {50303, 53665}, {50315, 68966}, {61647, 70219}

X(72030) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {238, 29637, 33082}, {3246, 17357, 33076}, {3763, 8692, 50296}, {17127, 29677, 33085}, {24542, 32944, 29640}

X(72031) = X(2)X(902)∩X(31)X(5743)

X(72031) lies on these lines: {2, 902}, {31, 5743}, {42, 63013}, {100, 29647}, {171, 32782}, {612, 33161}, {750, 24943}, {1054, 29648}, {1376, 29663}, {2177, 6703}, {2308, 63037}, {2550, 29863}, {3306, 29686}, {3589, 9350}, {3980, 33143}, {4643, 9340}, {4682, 33156}, {4995, 17398}, {5263, 29662}, {5269, 69252}, {5294, 59684}, {5955, 62847}, {6536, 35258}, {9347, 33160}, {14555, 21747}, {17122, 29677}, {17325, 63212}, {17490, 29834}, {17495, 29842}, {17740, 29816}, {24342, 29665}, {24552, 58443}, {26223, 59726}, {26227, 59628}, {26627, 29656}, {27714, 37552}, {29678, 50302}, {29683, 50314}, {29829, 71450}, {29837, 71451}, {29846, 70484}, {29847, 32932}, {30831, 50301}, {31136, 63078}, {33175, 37604}, {37540, 69294}, {37716, 51669}

X(72032) = X(2)X(902)∩X(238)X(29677)

X(72032) lies on these lines: {2, 902}, {238, 29677}, {344, 29819}, {614, 33161}, {748, 1211}, {1001, 29663}, {1125, 26223}, {1201, 13742}, {1647, 56519}, {2308, 63057}, {3246, 33074}, {3305, 29686}, {3624, 3648}, {4011, 33143}, {4423, 7085}, {4906, 71795}, {5284, 29647}, {7290, 29687}, {16468, 20086}, {17279, 32854}, {17341, 33072}, {17352, 32943}, {17356, 33094}, {17526, 28352}, {18141, 21747}, {24542, 29678}, {24552, 31289}, {26105, 29863}, {26688, 29656}, {27064, 29853}, {27065, 29660}, {27131, 29860}, {27538, 29836}, {29632, 70485}, {29642, 70483}, {29661, 32944}, {29662, 41806}, {29818, 30614}, {29831, 59517}, {29851, 70481}

X(72032) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {238, 29677, 33080}, {24542, 70942, 29678}

X(72033) = X(2)X(902)∩X(31)X(5241)

X(72033) lies on these lines: {2, 902}, {31, 5241}, {141, 750}, {165, 6536}, {899, 3618}, {1376, 29647}, {2345, 62659}, {4023, 32455}, {4371, 50756}, {4413, 47355}, {5297, 33161}, {5437, 29686}, {6174, 17398}, {9458, 17368}, {17122, 24943}, {17124, 29677}, {17763, 48628}, {19530, 28377}, {21242, 29662}, {21747, 63003}, {24620, 29834}, {26040, 29867}, {26758, 32946}, {29633, 61156}, {30834, 50299}, {32775, 48629}, {33143, 48627}, {40341, 69300}

X(72034) = X(2)X(902)∩X(141)X(748)

X(72034) lies on these lines: {2, 902}, {141, 748}, {3618, 3720}, {3624, 31019}, {4365, 4402}, {4423, 12329}, {4683, 48637}, {5241, 17125}, {5284, 29663}, {6329, 62821}, {7292, 33161}, {7308, 29686}, {13742, 28352}, {17123, 24943}, {17341, 32844}, {17449, 26685}, {21027, 31183}, {21242, 31289}, {26105, 29867}, {26688, 29672}, {29660, 35595}, {29661, 70942}, {29662, 31229}, {29851, 70485}, {31136, 37650}, {32930, 48627}, {33098, 48629}, {49690, 69298}

X(72035) = X(1)X(5905)∩X(8)X(71515)

X(72035) lies on these lines: {1, 5905}, {8, 71515}, {31, 11680}, {43, 17784}, {72, 68847}, {149, 2308}, {171, 3816}, {238, 3925}, {390, 42042}, {497, 50303}, {516, 29821}, {595, 3822}, {752, 32942}, {902, 33107}, {982, 64016}, {1215, 49709}, {1279, 33097}, {1386, 33095}, {1699, 29658}, {1707, 29676}, {1836, 33147}, {1961, 40998}, {3052, 17717}, {3058, 4649}, {3434, 16468}, {3632, 63009}, {3744, 33096}, {3757, 49705}, {3840, 20101}, {3923, 32866}, {3944, 62834}, {3957, 61707}, {3961, 21060}, {4011, 50289}, {4038, 49736}, {4138, 29860}, {4307, 26102}, {4388, 32783}, {4423, 50301}, {4432, 33073}, {4450, 32944}, {4512, 29657}, {4514, 4672}, {4640, 17722}, {4650, 17721}, {4660, 70481}, {4676, 4865}, {4942, 49679}, {5057, 17469}, {5255, 17757}, {5263, 70972}, {5429, 30384}, {5836, 66645}, {5903, 63513}, {6327, 29637}, {7191, 32857}, {7290, 17889}, {8616, 26098}, {9580, 16475}, {12699, 16478}, {17024, 33098}, {17127, 33104}, {17483, 29818}, {17484, 67210}, {17591, 44447}, {17598, 17768}, {17716, 24703}, {17766, 27064}, {17778, 71414}, {19993, 49532}, {20064, 30942}, {20075, 42043}, {20086, 50001}, {21282, 29850}, {21747, 33142}, {24552, 33082}, {24695, 62865}, {24725, 62806}, {24892, 30653}, {26840, 28508}, {28368, 66658}, {28494, 33068}, {28566, 33079}, {29633, 32947}, {29662, 30652}, {29675, 62875}, {29817, 64164}, {29819, 33100}, {29820, 50307}, {29827, 63140}, {31034, 71452}, {32773, 50300}, {32844, 33167}, {32847, 32930}, {32861, 49484}, {32948, 70483}, {33066, 49473}, {33084, 48805}, {33105, 70834}, {33154, 38315}, {34611, 61358}, {38832, 69056}, {48827, 68602}, {61661, 66065}, {63002, 71450}, {63010, 71451}

X(72035) = reflection of X(33085) in X(32942)
X(72035) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 33106, 33140}, {238, 63979, 33109}, {497, 50303, 62841}, {4388, 49482, 32783}, {4676, 4865, 33164}, {5057, 17469, 33152}, {8616, 26098, 29640}, {17127, 33104, 33138}

X(72036) = X(1)X(7)∩X(8)X(28512)

X(72036) lies on these lines: {1, 7}, {8, 28512}, {11, 171}, {31, 33108}, {42, 20095}, {145, 28522}, {190, 50288}, {193, 3632}, {238, 3826}, {319, 28498}, {320, 49473}, {495, 5255}, {497, 37604}, {528, 4649}, {595, 28375}, {752, 3775}, {894, 17766}, {902, 29640}, {942, 68847}, {984, 64016}, {1001, 50301}, {1155, 17722}, {1386, 24715}, {1738, 4989}, {1757, 24393}, {1836, 17716}, {2269, 11010}, {2308, 33110}, {2550, 16468}, {2783, 7972}, {3052, 33111}, {3056, 5903}, {3057, 66645}, {3058, 4038}, {3244, 20090}, {3434, 62841}, {3474, 17591}, {3550, 5218}, {3626, 62989}, {3741, 20101}, {3744, 33097}, {3745, 33095}, {3755, 69632}, {3790, 3923}, {3883, 24342}, {3920, 33099}, {3935, 61707}, {3944, 5269}, {3957, 64164}, {3961, 41011}, {4279, 69056}, {4360, 17764}, {4363, 49506}, {4418, 32866}, {4429, 50300}, {4440, 49464}, {4450, 32772}, {4514, 4697}, {4644, 49498}, {4645, 29637}, {4660, 29633}, {4672, 32850}, {4865, 33167}, {4974, 69755}, {5264, 7951}, {5710, 12943}, {5711, 9668}, {6327, 32783}, {6646, 28508}, {6767, 48825}, {11246, 17598}, {11529, 48827}, {16823, 49705}, {17126, 33104}, {17300, 71414}, {17364, 49458}, {17365, 49675}, {17469, 20292}, {17483, 67210}, {17593, 17726}, {17601, 17723}, {17602, 65698}, {17717, 37540}, {17725, 61716}, {17784, 42043}, {17889, 62834}, {19856, 50295}, {20064, 31330}, {20072, 49510}, {20075, 42042}, {21282, 29631}, {21747, 33139}, {24280, 49445}, {24325, 49709}, {24464, 50616}, {24552, 33085}, {24695, 49448}, {24723, 28494}, {24821, 49527}, {24892, 30652}, {26842, 29818}, {28313, 34747}, {28369, 29012}, {28562, 33682}, {28566, 33076}, {29010, 37740}, {29040, 45287}, {29327, 66650}, {29335, 57282}, {29365, 66639}, {29657, 35258}, {29815, 33098}, {29816, 33100}, {29819, 33102}, {29862, 35263}, {31034, 71451}, {32846, 49484}, {32947, 70482}, {33072, 33164}, {33087, 48805}, {33094, 62807}, {33145, 62855}, {33149, 38315}, {34611, 62821}, {35023, 37662}, {37588, 49745}, {41319, 70495}, {41845, 50114}, {48856, 63975}, {49459, 67964}, {49469, 50284}, {49474, 51192}, {49477, 62392}, {49479, 49704}, {49491, 49695}, {49493, 49681}, {49710, 60731}, {49719, 61358}, {49772, 64017}, {50015, 50117}, {50016, 51196}, {50291, 51090}, {61169, 71612}, {62998, 71450}, {63056, 71452}

X(72036) = reflection of X(i) in X(j) for these {i,j}: {3632, 4431}, {33082, 5263}
X(72036) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 33109, 33138}, {171, 63979, 33106}, {902, 33112, 29640}, {1836, 17716, 33152}, {2550, 50303, 16468}, {3923, 50289, 32847}, {4344, 24248, 1}, {4645, 49482, 29637}, {4660, 70419, 29633}, {17126, 33104, 33140}, {17469, 20292, 33147}, {24695, 68589, 49448}, {50291, 51090, 51294}, {50307, 63969, 1}

X(72037) = X(1)X(20066)∩X(7)X(67210)

X(72037) lies on these lines: {1, 20066}, {7, 67210}, {10, 20064}, {31, 3925}, {42, 4307}, {149, 37604}, {165, 29688}, {171, 11680}, {200, 61707}, {516, 5311}, {528, 62821}, {750, 3816}, {752, 70972}, {756, 64016}, {902, 29661}, {1621, 50301}, {2308, 2550}, {3058, 9345}, {3120, 5269}, {3474, 46901}, {3550, 29678}, {3632, 20086}, {3664, 67209}, {3745, 33094}, {3822, 5264}, {3870, 64164}, {3890, 66645}, {3920, 33098}, {3923, 69301}, {3938, 50307}, {3989, 44447}, {4038, 34611}, {4344, 29819}, {4349, 67208}, {4418, 32854}, {4450, 50302}, {4645, 24943}, {4649, 49719}, {4660, 29647}, {4697, 5014}, {5263, 33080}, {5880, 17469}, {9347, 33095}, {9352, 17722}, {17126, 24892}, {17300, 71452}, {17716, 20292}, {17778, 71451}, {20095, 42042}, {20101, 31330}, {21060, 41011}, {21282, 29635}, {24248, 29816}, {24715, 62807}, {25439, 49744}, {29663, 32948}, {29677, 49482}, {29682, 35258}, {29815, 32857}, {30652, 33138}, {30970, 63140}, {31034, 71450}, {32864, 49720}, {32933, 50288}, {32947, 70484}, {33072, 33161}, {33105, 37540}, {33107, 56010}, {33110, 62841}, {33149, 62855}, {34612, 61358}, {50001, 63057}, {51433, 67969}, {62834, 69253}, {67964, 71631}

X(72037) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {171, 33104, 29662}, {3550, 33112, 29678}, {4418, 50289, 32854}, {4660, 70482, 29647}, {17126, 33109, 24892}, {17716, 20292, 33143}, {32948, 70419, 29663}

X(72038) = X(11)X(31)∩X(42)X(390)

X(72038) lies on these lines: {1, 17484}, {11, 31}, {42, 390}, {43, 20095}, {149, 16468}, {193, 50001}, {238, 33104}, {244, 64016}, {329, 67210}, {495, 3915}, {497, 2308}, {595, 7951}, {614, 4312}, {748, 3826}, {896, 17721}, {902, 5218}, {995, 4316}, {1191, 12943}, {1193, 4302}, {1201, 4293}, {1279, 24725}, {1572, 4530}, {3058, 61358}, {3120, 7290}, {3775, 24552}, {3790, 32854}, {3840, 20064}, {3876, 68847}, {3914, 4989}, {3994, 49681}, {4307, 30950}, {4388, 24943}, {4432, 33070}, {4450, 70942}, {4512, 29688}, {4660, 70483}, {4666, 64164}, {4676, 32844}, {4756, 49534}, {5057, 33143}, {5311, 40998}, {5542, 41011}, {5698, 46901}, {5905, 29818}, {6327, 29677}, {7191, 33098}, {8616, 29678}, {9340, 17728}, {9668, 16466}, {11269, 21747}, {11551, 28082}, {15485, 33112}, {17024, 33099}, {17127, 24892}, {17449, 24695}, {17469, 24703}, {17717, 70834}, {17722, 62838}, {17723, 70520}, {20101, 30957}, {26098, 29661}, {26227, 49705}, {29663, 32947}, {30331, 61652}, {30653, 33140}, {31034, 71414}, {32577, 64159}, {32931, 49709}, {32942, 33080}, {32948, 70485}, {33096, 62806}, {35023, 37663}, {41242, 49506}, {43179, 67209}, {48805, 69300}, {49736, 62821}, {50743, 59579}, {62834, 69173}, {62998, 71452}, {63002, 71451}

X(72038) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4676, 32844, 33161}, {8616, 33107, 29678}, {17127, 33106, 24892}, {32947, 70481, 29663}

X(72039) = X(1)X(4190)∩X(8)X(71518)

X(72039) lies on these lines: {1, 4190}, {8, 71518}, {10, 20101}, {43, 4307}, {55, 50301}, {165, 29657}, {171, 2886}, {516, 1961}, {528, 4038}, {612, 33099}, {750, 33106}, {846, 64174}, {2550, 62841}, {3434, 37604}, {3550, 29640}, {3664, 3979}, {3745, 24715}, {3791, 69755}, {3920, 32857}, {3935, 64164}, {3961, 50307}, {3980, 32866}, {4418, 32847}, {4457, 62231}, {4645, 32783}, {4649, 34612}, {4660, 70484}, {4675, 17715}, {4682, 33095}, {4697, 32850}, {4886, 28498}, {5263, 33085}, {5269, 17889}, {5439, 68847}, {5880, 17716}, {6154, 37631}, {9345, 34611}, {9347, 33094}, {10459, 20067}, {17122, 63979}, {17126, 33138}, {17764, 34064}, {17778, 71450}, {17784, 42042}, {19856, 33083}, {20020, 49532}, {20064, 26037}, {20069, 28522}, {20292, 33152}, {21282, 29845}, {24342, 63134}, {25439, 48868}, {26040, 50303}, {26098, 56010}, {26806, 71517}, {26842, 67210}, {29633, 32948}, {29816, 33102}, {29820, 63969}, {32853, 49720}, {32939, 50288}, {33072, 33167}, {33111, 37540}, {48696, 49744}, {49719, 62821}, {50408, 59313}, {58679, 66645}, {59312, 63140}, {62865, 68589}, {63056, 71451}

X(72039) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {171, 33109, 33140}, {3980, 50289, 32866}, {5880, 17716, 33147}, {32948, 70482, 29633}

X(72040) = X(1)X(329)∩X(238)X(2886)

X(72040) lies on these lines: {1, 329}, {36, 28364}, {43, 20075}, {238, 2886}, {390, 42043}, {497, 16468}, {595, 3814}, {614, 32857}, {748, 33109}, {1201, 20067}, {1279, 33096}, {3246, 33130}, {3550, 59572}, {3632, 63037}, {3683, 17722}, {3698, 66645}, {3820, 5255}, {3944, 7290}, {4011, 32847}, {4090, 49704}, {4135, 50015}, {4307, 25502}, {4388, 29637}, {4432, 33071}, {4649, 49736}, {4660, 70485}, {4676, 33167}, {4679, 17716}, {4871, 20101}, {5044, 68847}, {5057, 33147}, {5698, 17591}, {5903, 63511}, {7081, 49705}, {7191, 33099}, {7262, 17721}, {8167, 50301}, {15485, 26098}, {17063, 64016}, {17123, 63979}, {17127, 33140}, {17350, 29844}, {17484, 29818}, {17784, 36634}, {20064, 30957}, {24703, 33152}, {25728, 63017}, {26105, 37604}, {26791, 70841}, {26792, 67210}, {29633, 70481}, {29640, 33107}, {29662, 30653}, {29817, 61707}, {29820, 41011}, {32844, 33164}, {32866, 32930}, {32942, 33082}, {32947, 70483}, {49500, 53619}, {49709, 59511}, {62998, 71414}, {63010, 71452}

X(72040) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {238, 33106, 33138}, {26105, 50303, 37604}

X(72041) = X(1)X(9782)∩X(11)X(750)

X(72041) lies on these lines: {1, 9782}, {11, 750}, {31, 3826}, {100, 50301}, {165, 29682}, {171, 24892}, {200, 64164}, {390, 3720}, {528, 9345}, {612, 4312}, {899, 4307}, {976, 11551}, {3474, 3989}, {3550, 29661}, {3626, 31303}, {3664, 67207}, {3722, 4675}, {3775, 33080}, {3790, 4418}, {3938, 5542}, {3980, 32854}, {4038, 49719}, {4293, 10459}, {4302, 59305}, {4316, 30116}, {4349, 67211}, {4414, 64174}, {4682, 33094}, {5218, 29678}, {5269, 69253}, {5718, 35023}, {5880, 33143}, {6154, 17392}, {9347, 24715}, {9776, 29818}, {17124, 63979}, {17300, 71451}, {17449, 68589}, {17766, 26627}, {20101, 26037}, {24393, 32912}, {24988, 50300}, {27577, 59316}, {29647, 32948}, {29662, 33109}, {29663, 70482}, {32919, 49720}, {33110, 37604}, {33112, 56010}, {34612, 62821}, {48696, 48868}, {49732, 61358}, {59306, 63140}, {61707, 67097}, {63056, 71450}

X(72041) = {X(32948),X(70484)}-harmonic conjugate of X(29647)

X(72042) = X(1)X(26792)∩X(31)X(3816)

X(72042) lies on these lines: {1, 26792}, {31, 3816}, {238, 11680}, {329, 29818}, {614, 4862}, {748, 3925}, {899, 17784}, {1647, 1707}, {3246, 33127}, {3720, 3945}, {3769, 24709}, {3915, 17757}, {3924, 51423}, {3938, 21060}, {4011, 32854}, {4021, 17017}, {4388, 29677}, {4666, 61707}, {4679, 17469}, {4871, 20064}, {4896, 41011}, {4906, 71797}, {7290, 69173}, {10582, 64164}, {15485, 29661}, {17125, 63979}, {17127, 29662}, {17271, 32942}, {17766, 26688}, {20095, 36634}, {21929, 54382}, {24552, 70972}, {24703, 33143}, {29647, 70481}, {29663, 70483}, {29682, 66515}, {29689, 60846}, {31018, 67210}, {32947, 70485}, {49736, 61358}, {50001, 63009}, {63002, 71452}, {63010, 71414}

X(72042) = {X(15485),X(33107)}-harmonic conjugate of X(29661)

X(72043) = X(2)X(902)∩X(10)X(26627)

X(72043) lies on these lines: {2, 902}, {10, 26627}, {31, 17337}, {42, 4648}, {43, 37635}, {612, 4859}, {750, 3826}, {756, 17276}, {899, 63008}, {1201, 17582}, {1376, 29661}, {1654, 26037}, {1698, 26064}, {2177, 17245}, {2308, 37681}, {2550, 30950}, {3011, 38204}, {3120, 38052}, {3925, 17124}, {3946, 5311}, {4358, 24693}, {4418, 17339}, {4675, 21805}, {5241, 31134}, {5268, 69253}, {5297, 33143}, {5437, 29690}, {7679, 9364}, {9330, 32857}, {9342, 33111}, {9350, 17056}, {10459, 37462}, {11269, 40333}, {17122, 24892}, {17283, 24943}, {17286, 29687}, {17296, 70522}, {17315, 32860}, {17324, 33125}, {17327, 32781}, {17329, 33067}, {17375, 59296}, {17381, 29663}, {19804, 32854}, {21747, 37650}, {24725, 61686}, {24988, 50302}, {25502, 33110}, {25957, 30832}, {26038, 32949}, {29640, 61156}, {29678, 63344}, {33112, 62711}, {37680, 50301}, {49732, 62849}, {61358, 63401}

X(72043) = {X(3925),X(17124)}-harmonic conjugate of X(29662)

X(72044) = X(2)X(902)∩X(9)X(1647)

X(72044) lies on these lines: {2, 902}, {9, 1647}, {11, 1253}, {42, 26105}, {75, 24709}, {149, 62711}, {244, 4679}, {748, 3816}, {978, 26127}, {1201, 5084}, {1479, 28257}, {1654, 26139}, {2177, 51415}, {2478, 28352}, {3058, 9350}, {3120, 4859}, {3161, 4141}, {3646, 21674}, {3720, 63008}, {3756, 36263}, {3771, 27141}, {3846, 29677}, {3877, 26727}, {3915, 17527}, {4414, 5121}, {4423, 29661}, {4648, 20978}, {4871, 50304}, {5211, 64178}, {5272, 69173}, {5284, 29678}, {7292, 33143}, {7308, 29690}, {8167, 33105}, {9335, 33099}, {9345, 63401}, {11269, 37681}, {11814, 26227}, {16484, 37651}, {16602, 33094}, {16706, 25378}, {17051, 54352}, {17063, 33098}, {17123, 24892}, {17261, 50533}, {17283, 25531}, {17286, 69252}, {17339, 33161}, {17375, 26069}, {17381, 32944}, {17449, 31018}, {17717, 63344}, {18743, 32854}, {21214, 37162}, {24217, 37680}, {24943, 25960}, {25072, 29639}, {25502, 33107}, {26102, 37635}, {26103, 32949}, {26688, 29655}, {27131, 29820}, {27742, 38025}, {29638, 30867}, {29647, 70942}, {29676, 35595}, {29689, 30852}, {29845, 70485}, {30331, 62660}, {30578, 49532}, {30829, 32844}, {30957, 33080}, {31136, 63003}, {31137, 37656}, {31242, 33083}, {32866, 46938}, {33141, 37687}, {37663, 62849}, {59506, 71796}

X(72044) = {X(748),X(3816)}-harmonic conjugate of X(29662)

X(72045) = X(1)X(2)∩X(31)X(17337)

X(72045) lies on these lines: {1, 2}, {31, 17337}, {748, 3826}, {756, 17278}, {902, 26040}, {2308, 37650}, {3120, 7308}, {3305, 69253}, {3925, 17125}, {4418, 17338}, {5241, 31237}, {8167, 33136}, {9330, 33147}, {17123, 33104}, {17245, 61358}, {17259, 32781}, {17260, 33125}, {17263, 32860}, {17265, 33081}, {17277, 25961}, {17335, 33067}, {17889, 35595}, {19804, 33161}, {25878, 61357}, {26724, 33143}, {27065, 33098}, {31252, 32782}, {33111, 37687}, {33127, 61686}, {38204, 41011}, {44412, 47513}

X(72045) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10, 29677}, {2, 899, 29661}, {2, 16569, 29678}, {2, 26037, 24943}, {2, 26038, 29632}, {2, 33139, 25502}, {2, 59296, 29851}, {17277, 25961, 33080}

X(72046) = X(1)X(2)∩X(11)X(17124)

X(72046) lies on these lines: {1, 2}, {11, 17124}, {88, 33154}, {748, 37634}, {750, 3816}, {756, 17728}, {902, 26105}, {968, 31190}, {1468, 17527}, {2650, 24954}, {3035, 62849}, {3120, 5437}, {3306, 69173}, {4038, 37651}, {4703, 24593}, {6174, 17782}, {6691, 10448}, {9335, 33152}, {9342, 33141}, {9345, 37662}, {11814, 26223}, {16602, 33128}, {17051, 62869}, {17063, 33143}, {17122, 33104}, {17125, 37646}, {18743, 33161}, {20196, 62819}, {25378, 33068}, {25934, 61356}, {25960, 33080}, {26127, 37603}, {27002, 32776}, {27003, 33098}, {30829, 33119}, {30867, 33069}, {31272, 33111}, {32771, 37758}, {33101, 65112}, {33167, 46938}, {37162, 37608}, {37663, 62821}, {51415, 61358}, {59506, 71795}

X(72046) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4871, 29677}, {2, 26102, 29678}, {2, 26103, 29632}, {2, 29829, 6686}, {2, 29845, 29663}, {2, 30947, 29846}, {2, 30950, 29661}, {2, 30957, 24943}, {2, 33142, 62711}, {612, 31249, 1647}

X(72047) = X(1)X(872)∩X(7)X(181)

X(72047) lies on the Feuerbach circumhyperbola and these lines: {1, 872}, {4, 29309}, {7, 181}, {8, 7064}, {9, 3996}, {21, 60731}, {79, 69755}, {104, 8708}, {210, 314}, {256, 4685}, {312, 56087}, {341, 45032}, {391, 40779}, {646, 4111}, {941, 20012}, {2298, 57397}, {2321, 60675}, {3685, 32635}, {3686, 4876}, {3751, 56766}, {3886, 4866}, {6601, 14555}, {23836, 50520}, {40408, 41610}, {40439, 56048}, {43073, 63977}

X(72047) = isotomic conjugate of X(4059)
X(72047) = X(i)-cross conjugate of X(j) for these (i,j): {3709, 646}, {4113, 8}, {4560, 3699}
X(72047) = X(i)-isoconjugate of X(j) for these (i,j): {31, 4059}, {34, 22060}, {56, 3720}, {57, 20963}, {58, 39793}, {65, 70143}, {109, 6372}, {222, 40975}, {604, 3739}, {651, 68881}, {1014, 2667}, {1106, 3706}, {1395, 70154}, {1397, 20888}, {1400, 18166}, {1402, 17175}, {1407, 3691}, {1408, 21020}, {1412, 16589}, {1414, 50497}, {1415, 47672}, {1434, 21753}, {3669, 70144}, {4436, 43924}, {4754, 66996}, {4891, 16945}, {7341, 21699}, {16947, 53478}, {57181, 70145}
X(72047) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 3720}, {2, 4059}, {8, 4891}, {10, 39793}, {11, 6372}, {1146, 47672}, {2968, 48264}, {3161, 3739}, {5452, 20963}, {6552, 3706}, {6741, 48393}, {11517, 22060}, {24771, 3691}, {38991, 68881}, {40582, 18166}, {40599, 16589}, {40602, 70143}, {40605, 17175}, {40608, 50497}, {59577, 21020}, {62584, 70154}, {62585, 20888}
X(72047) = cevapoint of X(8) and X(210)
X(72047) = barycentric product X(i)*X(j) for these {i,j}: {8, 32009}, {312, 40433}, {646, 50520}, {2321, 40439}, {3596, 57397}, {3701, 40408}, {4391, 8708}, {6057, 59147}
X(72047) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 4059}, {8, 3739}, {9, 3720}, {21, 18166}, {33, 40975}, {37, 39793}, {55, 20963}, {200, 3691}, {210, 16589}, {219, 22060}, {284, 70143}, {312, 20888}, {314, 16748}, {333, 17175}, {345, 70154}, {346, 3706}, {522, 47672}, {644, 4436}, {646, 53363}, {650, 6372}, {663, 68881}, {1334, 2667}, {2321, 21020}, {3161, 4891}, {3239, 48264}, {3699, 70145}, {3700, 48393}, {3701, 53478}, {3706, 70156}, {3709, 50497}, {3712, 70155}, {3939, 70144}, {3996, 29773}, {4069, 61163}, {4515, 4111}, {6057, 52579}, {7064, 21820}, {7081, 4754}, {8708, 651}, {32009, 7}, {40408, 1014}, {40433, 57}, {40439, 1434}, {50520, 3669}, {52370, 22369}, {57397, 56}, {59147, 552}, {70157, 70162}

X(72048) = X(1)X(872)∩X(2)X(13476)

X(72048) lies on these lines: {1, 872}, {2, 13476}, {10, 4043}, {19, 14004}, {37, 3896}, {65, 19874}, {75, 756}, {321, 46772}, {594, 60676}, {596, 984}, {759, 8708}, {876, 4977}, {1089, 39708}, {1215, 4751}, {2214, 5276}, {3696, 56237}, {3728, 41683}, {3739, 3952}, {4022, 39697}, {4033, 21699}, {4557, 17260}, {4664, 17038}, {4698, 4883}, {4732, 56134}, {5224, 39712}, {5257, 60677}, {9330, 70852}, {16709, 18827}, {17335, 20964}, {17450, 39739}, {18082, 46196}, {20011, 27268}, {21805, 58396}, {22271, 69519}, {22289, 71598}, {27823, 56174}, {33295, 40438}, {39711, 49447}, {39737, 51488}, {40627, 69478}, {42285, 66674}, {59517, 70162}

X(72048) = isogonal conjugate of X(70143)
X(72048) = isotomic conjugate of X(17175)
X(72048) = X(i)-cross conjugate of X(j) for these (i,j): {514, 3952}, {4079, 4033}, {21727, 1018}, {22042, 4552}, {22044, 190}
X(72048) = X(i)-isoconjugate of X(j) for these (i,j): {1, 70143}, {6, 18166}, {28, 22060}, {31, 17175}, {32, 16748}, {58, 3720}, {60, 39793}, {81, 20963}, {110, 6372}, {163, 47672}, {593, 16589}, {662, 68881}, {757, 2667}, {763, 21820}, {849, 21020}, {1019, 70144}, {1333, 3739}, {1408, 3706}, {1412, 3691}, {1509, 21753}, {1790, 40975}, {2194, 4059}, {2203, 70154}, {2206, 20888}, {3733, 4436}, {4111, 7341}, {46289, 70153}, {50497, 52935}, {57129, 70145}
X(72048) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 17175}, {3, 70143}, {9, 18166}, {10, 3720}, {37, 3739}, {39, 70153}, {115, 47672}, {244, 6372}, {1084, 68881}, {1214, 4059}, {1500, 62646}, {4075, 21020}, {6376, 16748}, {6741, 48264}, {16587, 4754}, {40586, 20963}, {40591, 22060}, {40599, 3691}, {40603, 20888}, {40607, 2667}, {55065, 48393}, {59577, 3706}, {62564, 70154}
X(72048) = cevapoint of X(i) and X(j) for these (i,j): {10, 756}, {37, 40607}
X(72048) = trilinear pole of line {661, 4151}
X(72048) = barycentric product X(i)*X(j) for these {i,j}: {10, 32009}, {313, 57397}, {321, 40433}, {594, 40439}, {1089, 40408}, {1577, 8708}, {4033, 50520}, {6535, 59147}
X(72048) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 18166}, {2, 17175}, {6, 70143}, {10, 3739}, {37, 3720}, {42, 20963}, {71, 22060}, {75, 16748}, {141, 70153}, {210, 3691}, {226, 4059}, {306, 70154}, {321, 20888}, {512, 68881}, {523, 47672}, {594, 21020}, {661, 6372}, {756, 16589}, {762, 21699}, {872, 21753}, {1018, 4436}, {1089, 53478}, {1215, 4754}, {1500, 2667}, {1824, 40975}, {2171, 39793}, {2321, 3706}, {3700, 48264}, {3950, 4891}, {3952, 70145}, {4024, 48393}, {4033, 53363}, {4062, 70155}, {4079, 50497}, {4557, 70144}, {4651, 29773}, {6535, 52579}, {8708, 662}, {18082, 18089}, {21020, 70156}, {32009, 86}, {40408, 757}, {40433, 81}, {40439, 1509}, {40521, 61163}, {40607, 62646}, {45223, 46368}, {50520, 1019}, {57397, 58}, {59147, 6628}, {69621, 70162}
{X(872),X(3842)}-harmonic conjugate of X(4687)

X(72049) = X(513)X(4380)∩X(514)X(4079)

X(72049) lies on these lines: {513, 4380}, {514, 4079}, {661, 7199}, {798, 1019}, {812, 47947}, {876, 4977}, {1022, 32009}, {1027, 40433}, {1308, 8708}, {3669, 57167}, {4562, 65161}, {4762, 47915}, {4785, 48587}, {7192, 24948}, {9295, 25054}, {10566, 47970}, {17217, 47774}, {20979, 47908}, {27193, 43067}, {29404, 47996}, {40439, 69475}, {48000, 68881}

X(72049) = midpoint of X(20979) and X(47908)
X(72049) = reflection of X(i) in X(j) for these {i,j}: {7199, 661}, {68881, 48000}
X(72049) = isogonal conjugate of X(70144)
X(72049) = isotomic conjugate of X(70145)
X(72049) = isotomic conjugate of the anticomplement of X(17205)
X(72049) = X(8708)-anticomplementary conjugate of X(17135)
X(72049) = X(i)-cross conjugate of X(j) for these (i,j): {3122, 75}, {17205, 2}, {23795, 6548}, {23821, 7}, {23822, 335}, {23823, 86}, {23827, 62626}, {47917, 514}, {48409, 693}
X(72049) = X(i)-isoconjugate of X(j) for these (i,j): {1, 70144}, {6, 4436}, {31, 70145}, {32, 53363}, {58, 61163}, {99, 21753}, {100, 20963}, {101, 3720}, {109, 3691}, {110, 16589}, {163, 21020}, {249, 50538}, {648, 22369}, {662, 2667}, {692, 3739}, {765, 68881}, {1018, 70143}, {1110, 47672}, {1252, 6372}, {1331, 40975}, {1415, 3706}, {1576, 53478}, {1783, 22060}, {2149, 48264}, {4111, 4565}, {4556, 21699}, {4557, 18166}, {4567, 50497}, {4891, 34080}, {5546, 39793}, {17175, 69826}, {20888, 32739}, {21820, 52935}, {43076, 62646}
X(72049) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 70145}, {3, 70144}, {9, 4436}, {10, 61163}, {11, 3691}, {115, 21020}, {244, 16589}, {513, 68881}, {514, 47672}, {650, 48264}, {661, 6372}, {1015, 3720}, {1084, 2667}, {1086, 3739}, {1146, 3706}, {4858, 53478}, {4988, 48393}, {5521, 40975}, {6376, 53363}, {8054, 20963}, {16592, 4754}, {17761, 62646}, {38986, 21753}, {39006, 22060}, {40615, 4059}, {40618, 70154}, {40619, 20888}, {40620, 17175}, {40621, 4891}, {40627, 50497}, {55064, 4111}, {55065, 52579}, {55066, 22369}
X(72049) = cevapoint of X(i) and X(j) for these (i,j): {514, 661}, {1577, 20909}
X(72049) = crosssum of X(20963) and X(68881)
X(72049) = trilinear pole of line {244, 17761}
X(72049) = crossdifference of every pair of points on line {2667, 20963}
X(72049) = barycentric product X(i)*X(j) for these {i,j}: {75, 50520}, {514, 32009}, {523, 40439}, {693, 40433}, {1111, 8708}, {1577, 40408}, {3261, 57397}, {4024, 59147}
X(72049) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 4436}, {2, 70145}, {6, 70144}, {11, 48264}, {37, 61163}, {75, 53363}, {244, 6372}, {512, 2667}, {513, 3720}, {514, 3739}, {522, 3706}, {523, 21020}, {649, 20963}, {650, 3691}, {661, 16589}, {693, 20888}, {784, 70162}, {798, 21753}, {810, 22369}, {1015, 68881}, {1019, 18166}, {1086, 47672}, {1459, 22060}, {1577, 53478}, {2643, 50538}, {3120, 48393}, {3122, 50497}, {3667, 4891}, {3676, 4059}, {3733, 70143}, {4017, 39793}, {4024, 52579}, {4025, 70154}, {4041, 4111}, {4079, 21820}, {4369, 4754}, {4705, 21699}, {4750, 70155}, {4824, 59219}, {6591, 40975}, {7192, 17175}, {7199, 16748}, {8708, 765}, {10566, 18089}, {17494, 29773}, {32009, 190}, {40408, 662}, {40433, 100}, {40439, 99}, {47672, 70156}, {50520, 1}, {57397, 101}, {59147, 4610}, {68968, 71330}

X(72050) = X(30)X(511)∩X(86)X(1019)

X(72050) lies on these lines: {30, 511}, {86, 1019}, {649, 4763}, {650, 48016}, {661, 26777}, {693, 48577}, {798, 48551}, {1213, 4129}, {1635, 45315}, {1654, 47935}, {3572, 31308}, {3768, 4063}, {3776, 48013}, {3835, 4790}, {4106, 4932}, {4120, 48567}, {4367, 5625}, {4369, 4728}, {4375, 4784}, {4380, 4813}, {4382, 48107}, {4467, 23731}, {4500, 49293}, {4560, 48597}, {4733, 4807}, {4750, 48550}, {4786, 47882}, {4806, 25381}, {4810, 49292}, {4830, 48024}, {4897, 69291}, {4905, 70929}, {4928, 31147}, {4940, 31286}, {4958, 47870}, {4984, 47782}, {6615, 24417}, {7192, 48114}, {7659, 48042}, {9791, 48150}, {16892, 49297}, {17217, 48580}, {17494, 47991}, {20090, 48334}, {21196, 47988}, {21297, 31148}, {23729, 69292}, {24697, 27929}, {24924, 26798}, {25259, 48104}, {25380, 70711}, {26824, 48147}, {27483, 27854}, {31144, 69532}, {31150, 48544}, {31290, 47932}, {31336, 62558}, {39548, 67024}, {42327, 71469}, {43067, 48071}, {44449, 48101}, {45313, 45675}, {45661, 47767}, {45674, 47756}, {45679, 47784}, {45745, 47978}, {45746, 47937}, {47653, 47900}, {47663, 48076}, {47664, 47908}, {47677, 47907}, {47768, 47786}, {47778, 66524}, {47787, 48576}, {47814, 58178}, {47874, 65701}, {47886, 48543}, {47926, 47939}, {47952, 48588}, {47962, 47984}, {47971, 49298}, {47976, 69310}, {47981, 48404}, {48008, 48026}, {48043, 53580}, {48060, 48270}, {48067, 48269}, {48138, 49272}, {48145, 49273}, {48266, 49282}, {48417, 53586}, {48566, 69496}, {48624, 69309}, {50449, 69522}, {50497, 69979}, {58182, 65449}, {62324, 68999}, {68881, 69978}, {69359, 69973}

X(72050) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {649, 4776, 4763}, {649, 48049, 25666}, {649, 48079, 48049}, {1635, 47759, 45315}, {3835, 47761, 45678}, {4380, 4813, 48000}, {4382, 48107, 49291}, {4728, 4979, 47763}, {4728, 47763, 4369}, {4763, 4776, 25666}, {4763, 48049, 4776}, {4786, 48554, 47882}, {4928, 47762, 45663}, {4979, 20295, 4369}, {7192, 48114, 49289}, {17494, 48019, 47991}, {20295, 47763, 4728}, {31147, 47762, 4928}, {45313, 47760, 45675}, {47768, 47786, 47879}, {48008, 48592, 48026}, {48013, 49294, 3776}, {48016, 48041, 650}, {48060, 49284, 48270}, {48071, 49287, 43067}

X(72051) = X(1)X(4759)∩X(8)X(9)

X(72051) lies on these lines: {1, 4759}, {2, 44446}, {8, 9}, {10, 4473}, {21, 645}, {45, 4676}, {63, 30947}, {190, 15254}, {238, 17261}, {239, 49452}, {333, 4519}, {405, 69493}, {894, 1125}, {968, 70742}, {1001, 17336}, {1698, 3923}, {1757, 3244}, {2975, 33845}, {3219, 29824}, {3616, 50127}, {3617, 50126}, {3622, 17350}, {3623, 3751}, {3647, 70117}, {3683, 4009}, {3731, 70419}, {3786, 52352}, {3928, 26103}, {3993, 17121}, {4011, 29827}, {4422, 24723}, {4427, 35595}, {4512, 27538}, {4645, 25101}, {4655, 17266}, {4672, 16826}, {4684, 61000}, {4704, 16475}, {5057, 37330}, {5205, 62838}, {5263, 16814}, {5695, 17335}, {6651, 17292}, {9791, 17353}, {15481, 68969}, {16020, 20073}, {16468, 17319}, {16477, 29584}, {16815, 27949}, {16817, 41872}, {16885, 49470}, {17125, 62300}, {17244, 24695}, {17254, 29637}, {17263, 17768}, {17268, 33082}, {17312, 17770}, {17326, 24295}, {17338, 24248}, {17339, 50295}, {17777, 54357}, {18230, 24280}, {21371, 54290}, {24342, 51073}, {24349, 25728}, {25082, 70930}, {27065, 32932}, {27385, 27420}, {29607, 33149}, {29632, 69057}, {30331, 49707}, {30568, 71476}, {30970, 32930}, {32922, 49522}, {41002, 42033}, {46933, 50314}, {49458, 51297}, {49462, 68966}, {49482, 51294}, {56077, 56203}, {56288, 69029}, {60711, 71786}, {61686, 65166}, {62818, 70485}

X(72051) = barycentric product X(i)*X(j) for these {i,j}: {8, 29584}, {190, 48562}, {312, 16477}
X(72051) = barycentric quotient X(i)/X(j) for these {i,j}: {16477, 57}, {29584, 7}, {48562, 514}
{X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 3685, 60731}, {9, 71524, 3685}, {45, 4676, 16830}, {190, 15254, 16823}, {1001, 17336, 62222}, {25101, 51090, 4645}, {25728, 66515, 24349}

X(72052) = X(1)X(11346)∩X(2)X(37)

X(72052) lies on these lines: {1, 11346}, {2, 37}, {9, 63060}, {10, 65022}, {42, 4096}, {45, 3187}, {72, 3241}, {81, 17261}, {190, 17019}, {210, 27804}, {213, 29584}, {226, 65021}, {306, 4029}, {376, 67887}, {519, 14020}, {551, 3159}, {756, 3896}, {894, 1255}, {975, 19336}, {1215, 58381}, {1500, 59212}, {1621, 60723}, {1824, 7714}, {1959, 3970}, {1961, 32936}, {1962, 3971}, {1999, 4921}, {2321, 41809}, {2325, 69544}, {2895, 17315}, {2901, 3679}, {3219, 34064}, {3227, 56037}, {3247, 19684}, {3294, 16834}, {3578, 50093}, {3616, 64562}, {3700, 36900}, {3701, 3743}, {3720, 42055}, {3723, 19717}, {3731, 5278}, {3740, 64161}, {3773, 6536}, {3842, 4365}, {3876, 50602}, {3931, 52353}, {3936, 4098}, {3943, 56810}, {3950, 3969}, {3952, 37593}, {3954, 17389}, {3967, 29822}, {3989, 46909}, {3994, 43223}, {4024, 31150}, {4026, 69301}, {4052, 30588}, {4078, 4972}, {4090, 21806}, {4102, 31144}, {4360, 27065}, {4425, 48647}, {4427, 4682}, {4432, 29816}, {4439, 29685}, {4527, 8013}, {4651, 49462}, {4696, 62831}, {4854, 69250}, {4883, 20068}, {4968, 27785}, {4981, 32915}, {5249, 22019}, {5257, 60203}, {5271, 16676}, {5287, 32933}, {5294, 59585}, {5295, 53620}, {6535, 50298}, {6539, 70264}, {6541, 48648}, {7265, 44550}, {7283, 51669}, {7757, 22036}, {8025, 17351}, {9791, 33078}, {10707, 66070}, {11239, 52345}, {15254, 17150}, {15569, 17165}, {16052, 57808}, {16418, 56538}, {16674, 19701}, {16677, 19732}, {16777, 19722}, {16814, 19742}, {16826, 32026}, {16857, 50072}, {17011, 41241}, {17021, 32939}, {17140, 49523}, {17184, 17243}, {17242, 32782}, {17244, 33146}, {17246, 69251}, {17247, 33172}, {17258, 32863}, {17299, 63100}, {17316, 32859}, {17317, 17483}, {17319, 32911}, {17336, 37685}, {17350, 62801}, {17372, 43990}, {17393, 63074}, {17592, 64178}, {17679, 50066}, {18098, 42037}, {18146, 27801}, {19332, 50044}, {20691, 71598}, {21078, 22004}, {21802, 41249}, {21807, 34611}, {21816, 29617}, {22001, 31164}, {22002, 22014}, {22024, 31161}, {23878, 58361}, {25423, 58360}, {25728, 62808}, {26037, 49452}, {27064, 62851}, {27186, 62229}, {27811, 71117}, {29580, 69528}, {29653, 48646}, {29814, 49447}, {29854, 33154}, {30568, 62816}, {31302, 62866}, {32864, 51294}, {32937, 62840}, {34607, 43214}, {36911, 62564}, {38314, 51673}, {42039, 42057}, {42042, 71612}, {42043, 71619}, {42054, 50111}, {42471, 64426}, {45315, 57133}, {45671, 57068}, {46904, 59517}, {49520, 62867}, {49724, 49737}, {49980, 62296}, {50083, 64071}, {50110, 50306}, {50113, 56541}, {50125, 50256}, {50129, 70518}, {50290, 69296}, {59315, 71601}, {60724, 69505}, {62807, 71524}, {71525, 71561}

X(72052) = X(i)-Ceva conjugate of X(j) for these (i,j): {17393, 50587}, {30598, 10}
X(72052) = X(1333)-isoconjugate of X(39711)
X(72052) = X(37)-Dao conjugate of X(39711)
X(72052) = barycentric product X(i)*X(j) for these {i,j}: {10, 17393}, {75, 50587}, {190, 48551}, {321, 63074}, {3952, 48079}, {4033, 48011}
X(72052) = barycentric quotient X(i)/X(j) for these {i,j}: {10, 39711}, {17393, 86}, {48011, 1019}, {48079, 7192}, {48551, 514}, {50587, 1}, {63074, 81}
X(72052) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 192, 50106}, {2, 3175, 321}, {2, 3995, 3175}, {2, 42044, 4980}, {2, 50106, 4359}, {37, 3175, 2}, {37, 3995, 321}, {756, 3993, 3896}, {1962, 3971, 46897}, {3247, 56082, 19684}, {4425, 69295, 48647}, {4681, 44307, 17147}, {4704, 41839, 28606}, {6541, 69294, 48648}, {17147, 44307, 24589}, {17781, 29574, 42045}, {22034, 31025, 321}, {28606, 41839, 4358}, {31993, 62227, 321}, {41313, 50068, 2}, {42029, 51488, 2}, {42057, 50777, 42039}, {50093, 50292, 3578}

X(72053) = X(2)X(4912)∩X(9)X(312)

X(72053) lies on these lines: {2, 4912}, {9, 312}, {37, 70742}, {44, 41839}, {45, 27064}, {63, 30829}, {75, 27065}, {190, 3305}, {210, 71524}, {321, 17335}, {344, 33066}, {345, 62706}, {346, 4886}, {391, 42030}, {748, 49447}, {749, 63519}, {756, 4676}, {1150, 20942}, {1211, 17339}, {1743, 34064}, {1999, 16885}, {2895, 17240}, {3008, 62229}, {3161, 14555}, {3175, 17349}, {3219, 18743}, {3294, 70462}, {3550, 42056}, {3683, 27538}, {3685, 3715}, {3699, 4512}, {3758, 8025}, {3759, 3995}, {3769, 64178}, {3782, 17338}, {3790, 41002}, {3912, 32100}, {4009, 71476}, {4034, 4102}, {4096, 8616}, {4358, 5372}, {4370, 5743}, {4383, 17261}, {4387, 60731}, {4422, 27184}, {4423, 62222}, {4473, 32777}, {4514, 27549}, {4664, 32911}, {4687, 5333}, {4759, 17716}, {5233, 56078}, {5250, 44720}, {5273, 6557}, {5278, 42034}, {5284, 49499}, {5302, 19582}, {5325, 62297}, {5739, 17264}, {5905, 17263}, {6057, 70969}, {6172, 18141}, {7262, 59517}, {7308, 25728}, {8580, 65166}, {10453, 15481}, {11106, 44722}, {15254, 32937}, {15485, 42054}, {15492, 35652}, {16669, 58820}, {17184, 17341}, {17234, 17781}, {17241, 32859}, {17277, 42029}, {17286, 41816}, {17315, 63009}, {17329, 33172}, {17333, 69092}, {17342, 32782}, {17350, 44307}, {17393, 63074}, {17778, 41313}, {18134, 25101}, {18228, 32851}, {19684, 51488}, {19739, 29580}, {19786, 26685}, {19796, 37650}, {19808, 54389}, {25269, 42051}, {25430, 42028}, {25496, 51294}, {26688, 62796}, {30854, 56244}, {31018, 33116}, {32933, 35595}, {32943, 50075}, {37595, 71635}, {37758, 55868}, {41242, 64425}, {48630, 63100}, {50068, 63051}, {50296, 69297}, {52258, 59639}, {59506, 71477}, {63096, 69539}

X(72053) = X(604)-isoconjugate of X(39711)
X(72053) = X(3161)-Dao conjugate of X(39711)
X(72053) = crossdifference of every pair of points on line {51641, 58155}
X(72053) = barycentric product X(i)*X(j) for these {i,j}: {8, 17393}, {312, 63074}, {314, 50587}, {645, 48551}, {646, 48011}, {3699, 48079}
X(72053) = barycentric quotient X(i)/X(j) for these {i,j}: {8, 39711}, {17393, 7}, {48011, 3669}, {48079, 3676}, {48551, 7178}, {50587, 65}, {63074, 57}
X(72053) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 30568, 333}, {190, 3305, 19804}, {333, 30568, 312}, {3161, 14555, 42033}, {7308, 25728, 32939}, {15492, 35652, 37652}, {17277, 56082, 42029}

X(72054) = X(9)X(3791)∩X(10)X(3175)

X(72054) lies on these lines: {1, 33309}, {2, 3994}, {9, 3791}, {10, 3175}, {37, 714}, {38, 31035}, {42, 4096}, {43, 4664}, {45, 4362}, {171, 17261}, {190, 1961}, {192, 26038}, {210, 3993}, {321, 3842}, {333, 51294}, {344, 26128}, {354, 49520}, {519, 41002}, {537, 3720}, {726, 44307}, {740, 756}, {748, 49472}, {846, 4434}, {872, 58400}, {982, 22220}, {984, 10453}, {1089, 58386}, {1100, 71515}, {1125, 6534}, {1211, 6541}, {1255, 4756}, {1698, 42029}, {1757, 34064}, {1962, 3952}, {2321, 70972}, {2664, 32026}, {2887, 4078}, {3159, 49598}, {3244, 3988}, {3305, 32921}, {3578, 49995}, {3666, 6686}, {3681, 49471}, {3712, 59726}, {3715, 49488}, {3740, 4681}, {3741, 35652}, {3743, 4075}, {3840, 50777}, {3920, 4432}, {3932, 4425}, {3943, 21085}, {3950, 4104}, {3977, 58443}, {3980, 17262}, {3989, 4358}, {4009, 6685}, {4015, 4065}, {4026, 69297}, {4028, 4029}, {4038, 62222}, {4082, 50290}, {4090, 37593}, {4098, 21060}, {4135, 31993}, {4359, 28516}, {4365, 4732}, {4387, 36480}, {4415, 4892}, {4422, 29654}, {4423, 49455}, {4527, 70516}, {4533, 50590}, {4535, 56810}, {4672, 5311}, {4685, 49462}, {4704, 17592}, {4771, 70696}, {4942, 15668}, {4974, 27065}, {5268, 32934}, {5287, 32935}, {5297, 32936}, {5506, 43993}, {6535, 41809}, {6536, 69296}, {9330, 32860}, {9345, 71793}, {9791, 33079}, {13405, 70289}, {17018, 50111}, {17019, 32938}, {17021, 32940}, {17056, 21093}, {17135, 42041}, {17242, 33084}, {17243, 33064}, {17244, 33103}, {17246, 24169}, {17247, 33174}, {17258, 33085}, {17263, 33147}, {17264, 32783}, {17336, 62841}, {17450, 20068}, {17591, 30829}, {17598, 70610}, {17716, 71524}, {17763, 33761}, {18185, 23343}, {18743, 31242}, {19804, 49445}, {20942, 29827}, {21020, 62227}, {21805, 27804}, {21830, 21883}, {22034, 62226}, {24068, 27784}, {24165, 49523}, {24325, 32925}, {24631, 27481}, {25351, 33145}, {25496, 30568}, {25501, 49483}, {25502, 51035}, {26037, 42044}, {26102, 42055}, {26223, 50293}, {26580, 69295}, {28594, 71029}, {28606, 59511}, {29642, 41313}, {29688, 30566}, {29814, 49491}, {29822, 58381}, {29824, 42039}, {29854, 33151}, {30950, 42053}, {31318, 64429}, {31330, 50094}, {32915, 49457}, {32924, 35595}, {34595, 56215}, {37595, 71521}, {42034, 59312}, {42057, 49515}, {44419, 49994}, {49452, 59296}, {49988, 58629}, {50302, 56082}, {52875, 59596}, {56123, 56222}, {59585, 59692}, {69294, 69301}

X(72054) = midpoint of X(756) and X(3995)
X(72054) = barycentric product X(i)*X(j) for these {i,j}: {10, 17319}, {3952, 48049}
X(72054) = barycentric quotient X(i)/X(j) for these {i,j}: {17319, 86}, {48049, 7192}
X(72054) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {37, 1215, 10180}, {37, 3967, 43223}, {37, 3971, 1215}, {37, 21838, 28592}, {37, 21902, 21827}, {37, 71525, 3985}, {190, 1961, 4697}, {321, 3842, 27798}, {3666, 59517, 24003}, {3740, 4681, 4970}, {3932, 4425, 28595}, {3967, 43223, 1215}, {3971, 43223, 3967}, {3989, 4358, 6682}, {4078, 4656, 2887}, {4415, 29653, 4892}, {4704, 27538, 17592}, {17763, 33761, 59624}, {26102, 49447, 42055}, {27065, 32928, 4974}, {28606, 64178, 59511}

X(72055) = X(2)X(18193)∩X(8)X(4082)

X(72055) lies on these lines: {2, 18193}, {8, 4082}, {9, 2319}, {43, 17261}, {75, 4942}, {171, 42056}, {190, 3740}, {200, 71524}, {210, 3685}, {238, 4096}, {239, 3971}, {312, 3715}, {333, 4009}, {346, 70973}, {612, 70742}, {756, 16830}, {984, 70942}, {1215, 17260}, {1376, 17336}, {1757, 59517}, {1961, 17120}, {1999, 64178}, {3219, 5205}, {3305, 16823}, {3683, 3699}, {3702, 32635}, {3705, 18228}, {3729, 26038}, {3731, 59297}, {3757, 3952}, {3769, 16885}, {3790, 14555}, {3876, 49492}, {3967, 17277}, {3974, 70969}, {4023, 42033}, {4078, 62998}, {4104, 17280}, {4126, 4514}, {4201, 59685}, {4359, 4756}, {4422, 33126}, {4438, 30867}, {4473, 59692}, {4512, 71529}, {4886, 6057}, {4903, 11679}, {5220, 18743}, {5268, 17350}, {5272, 31302}, {6646, 62673}, {6685, 51294}, {7174, 70485}, {7226, 26688}, {7308, 24349}, {7322, 70419}, {8167, 49499}, {8580, 25728}, {9330, 26223}, {9780, 39589}, {14829, 15481}, {16814, 59596}, {17123, 42054}, {17165, 35595}, {17254, 33174}, {17266, 33064}, {17268, 33084}, {17338, 33144}, {17777, 25006}, {21060, 25101}, {25957, 69057}, {26103, 62823}, {26264, 26867}, {26685, 29634}, {26791, 29639}, {26792, 69250}, {26840, 60423}, {27002, 36263}, {28058, 56244}, {29607, 33147}, {29641, 31018}, {32932, 63961}, {32939, 61686}, {32944, 42041}, {33100, 71102}, {37656, 69301}, {37679, 49447}, {38000, 59511}, {38057, 56084}, {49698, 49736}, {49707, 64162}, {56082, 59296}, {59216, 64083}, {59298, 62818}

X(72055) = barycentric product X(i)*X(j) for these {i,j}: {8, 17319}, {3699, 48049}
X(72055) = barycentric quotient X(i)/X(j) for these {i,j}: {17319, 7}, {48049, 3676}
X(72055) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 27538, 7081}, {312, 3715, 60731}, {756, 27064, 16830}, {1961, 71515, 17120}, {3305, 32937, 16823}, {3729, 30393, 26038}, {3952, 27065, 3757}, {15481, 59506, 14829}, {18228, 27549, 3705}, {21060, 25101, 29839}

X(72056) = X(1)X(2)∩X(9)X(71636)

X(72056) lies on these lines: {1, 2}, {9, 71636}, {100, 29348}, {333, 71639}, {518, 43290}, {1376, 49499}, {3035, 49698}, {3158, 27538}, {3210, 67066}, {3684, 71786}, {3685, 3689}, {3711, 60731}, {3712, 4152}, {3911, 49707}, {3996, 4519}, {4962, 48008}, {5687, 69493}, {17120, 71634}, {17336, 61153}, {17596, 49508}, {24349, 46917}, {32937, 64135}, {49456, 60714}, {49695, 51415}, {62218, 71476}, {62706, 71526}

X(72056) = X(5381)-Ceva conjugate of X(644)
X(72056) = X(4526)-Dao conjugate of X(52626)
X(72056) = barycentric product X(i)*X(j) for these {i,j}: {646, 25569}, {3699, 4763}
X(72056) = barycentric quotient X(i)/X(j) for these {i,j}: {4763, 3676}, {25569, 3669}
X(72056) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {200, 71529, 7081}, {3689, 3699, 3685}, {3935, 17780, 5205}, {5524, 70841, 239}, {56385, 56386, 29577}

X(72057) = X(2)X(3999)∩X(8)X(4533)

X(72057) lies on these lines: {2, 3999}, {8, 4533}, {10, 48646}, {38, 6686}, {42, 4096}, {43, 51035}, {69, 53673}, {72, 52353}, {210, 321}, {756, 4090}, {899, 42054}, {1215, 59306}, {1962, 71634}, {2238, 69505}, {2292, 70741}, {2895, 53672}, {3006, 4126}, {3175, 19998}, {3219, 3699}, {3242, 26688}, {3678, 3701}, {3681, 4358}, {3697, 56318}, {3711, 32929}, {3715, 26227}, {3717, 5741}, {3720, 42056}, {3740, 17165}, {3782, 71102}, {3848, 17146}, {3873, 26103}, {3876, 4696}, {3877, 4487}, {3896, 3971}, {3920, 41241}, {3936, 21060}, {3969, 4082}, {3983, 17164}, {3992, 4134}, {3994, 4685}, {3995, 4849}, {4005, 17751}, {4009, 17135}, {4080, 21949}, {4104, 69296}, {4135, 71631}, {4359, 26038}, {4413, 71793}, {4430, 30829}, {4450, 49991}, {4517, 25298}, {4640, 17780}, {4661, 18743}, {4662, 25253}, {4723, 5692}, {4756, 32932}, {4767, 7081}, {4847, 30566}, {4884, 62620}, {4935, 9957}, {4980, 59296}, {4981, 32931}, {5014, 31018}, {5423, 5739}, {5524, 32936}, {6685, 42041}, {7322, 19684}, {14555, 53661}, {16602, 17154}, {16610, 20068}, {17140, 61686}, {17149, 62627}, {20011, 35652}, {20052, 64563}, {20683, 59212}, {21093, 48645}, {21870, 27804}, {21884, 52893}, {22016, 22271}, {24988, 59684}, {25244, 25735}, {25277, 58693}, {25728, 64135}, {25734, 46917}, {26792, 32850}, {27549, 33113}, {29824, 59506}, {29982, 64581}, {30957, 49503}, {31242, 49448}, {32933, 67097}, {33066, 60459}, {37619, 57151}, {37656, 53660}, {37679, 71794}, {41809, 53663}, {42038, 49508}, {42044, 59295}, {46909, 59511}, {48644, 70522}, {48647, 69298}, {48648, 69297}, {49693, 69173}, {53620, 69493}, {56082, 62218}, {62838, 71529}

X(72057) = X(6741)-Dao conjugate of X(52061)
X(72057) = barycentric product X(i)*X(j) for these {i,j}: {10, 17336}, {3952, 31209}, {4033, 48294}
X(72057) = barycentric quotient X(i)/X(j) for these {i,j}: {3700, 52061}, {17336, 86}, {31209, 7192}, {48294, 1019}
X(72057) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {210, 3952, 321}, {210, 3967, 4651}, {756, 4090, 46897}, {756, 71637, 43223}, {3681, 27538, 4358}, {3696, 71117, 321}, {3715, 59597, 26227}, {3740, 17165, 24589}, {3952, 4651, 3967}, {3967, 4651, 321}, {3971, 21805, 3896}, {4005, 59577, 17751}, {4090, 43223, 71637}, {32937, 63961, 4359}, {43223, 71637, 46897}, {69297, 69300, 48648}, {69298, 69299, 48647}

X(72058) = X(2)X(4864)∩X(8)X(1392)

X(72058) lies on these lines: {2, 4864}, {8, 1392}, {43, 49472}, {63, 43290}, {78, 44720}, {190, 64135}, {200, 312}, {210, 71476}, {333, 62218}, {341, 4420}, {345, 6555}, {960, 70743}, {1997, 20015}, {3681, 17780}, {3683, 71636}, {3689, 27538}, {3693, 71526}, {3703, 4152}, {3711, 4042}, {3769, 21805}, {3870, 30829}, {3891, 54309}, {3935, 18743}, {3940, 68245}, {3961, 70942}, {3974, 70971}, {4417, 49991}, {4767, 32929}, {4886, 7172}, {4942, 32932}, {4952, 5211}, {4997, 24392}, {5014, 70794}, {5423, 42033}, {7256, 56440}, {15519, 18228}, {17124, 51055}, {17264, 53673}, {17728, 49707}, {19804, 67097}, {25308, 61166}, {31233, 62814}, {31627, 65199}, {32851, 64083}, {32918, 50075}, {32922, 67066}, {32939, 46917}, {50105, 53660}

X(72058) = X(2968)-Dao conjugate of X(52061)
X(72058) = barycentric product X(i)*X(j) for these {i,j}: {8, 17336}, {646, 48294}, {3699, 31209}
X(72058) = barycentric quotient X(i)/X(j) for these {i,j}: {3239, 52061}, {17336, 7}, {31209, 3676}, {48294, 3669}
X(72058) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {200, 3699, 312}, {210, 71639, 71476}, {71476, 71529, 71639}

X(72059) = X(2)X(16496)∩X(8)X(3452)

X(72059) lies on these lines: {2, 16496}, {8, 3452}, {9, 36630}, {75, 59597}, {200, 3685}, {210, 333}, {312, 3711}, {321, 4767}, {644, 28055}, {894, 4090}, {1043, 59577}, {1376, 62222}, {1961, 71634}, {1999, 21805}, {3158, 71524}, {3219, 17780}, {3243, 26103}, {3681, 5205}, {3697, 16824}, {3701, 4720}, {3740, 16823}, {3750, 42056}, {3757, 63961}, {3790, 5423}, {3816, 49698}, {3886, 4903}, {3952, 32932}, {3971, 5524}, {3974, 70973}, {3996, 4009}, {4030, 4152}, {4096, 17261}, {4126, 32851}, {4388, 49991}, {4420, 46877}, {4421, 17336}, {4512, 71636}, {4640, 43290}, {4645, 21060}, {4673, 59598}, {4899, 20103}, {5233, 30615}, {5250, 70743}, {5263, 59596}, {5293, 70741}, {5297, 8025}, {5333, 46897}, {5692, 68245}, {6057, 70971}, {7172, 70969}, {7174, 59298}, {7322, 59297}, {8580, 24349}, {9350, 62300}, {9458, 27002}, {11019, 49707}, {15519, 52653}, {16602, 24841}, {17147, 54309}, {17260, 29670}, {17277, 58629}, {17319, 42043}, {20942, 49460}, {21870, 34064}, {27549, 64083}, {29673, 30867}, {30829, 41711}, {31018, 63139}, {32937, 67097}, {32948, 69057}, {33153, 71102}, {36634, 49455}, {37619, 52923}, {37682, 51055}, {42054, 56009}, {49501, 70256}, {50286, 63089}, {53672, 69301}, {56086, 56102}, {59506, 68969}, {61156, 71793}

X(72059) = X(25280)-Ceva conjugate of X(17261)
X(72059) = X(i)-isoconjugate of X(j) for these (i,j): {1402, 65071}, {1412, 65070}
X(72059) = X(i)-Dao conjugate of X(j) for these (i,j): {40599, 65070}, {40605, 65071}, {60714, 29820}
X(72059) = barycentric product X(i)*X(j) for these {i,j}: {8, 17261}, {9, 25280}, {312, 60714}, {333, 4096}, {646, 4879}, {3699, 25666}
X(72059) = barycentric quotient X(i)/X(j) for these {i,j}: {210, 65070}, {333, 65071}, {4096, 226}, {4879, 3669}, {4964, 30719}, {17261, 7}, {25280, 85}, {25666, 3676}, {60714, 57}
X(72059) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {200, 27538, 3685}, {210, 3699, 7081}, {210, 7081, 60731}, {3886, 59599, 4903}, {4096, 60714, 17261}

X(72060) = X(30)X(511)∩X(100)X(667)

X(72060) lies on these lines: {1, 19947}, {2, 3251}, {8, 6161}, {10, 45666}, {11, 4162}, {30, 511}, {100, 667}, {104, 29348}, {145, 764}, {149, 21301}, {214, 48330}, {239, 4775}, {650, 52959}, {663, 899}, {693, 70809}, {1022, 51093}, {1145, 48329}, {1317, 3669}, {1320, 48333}, {1734, 13277}, {1862, 18344}, {1960, 4763}, {2530, 62401}, {3035, 31288}, {3036, 20317}, {3241, 14421}, {3635, 23814}, {3679, 4448}, {3716, 28603}, {3912, 47761}, {4040, 62325}, {4041, 38325}, {4063, 5541}, {4462, 12531}, {4502, 50012}, {4543, 6546}, {4705, 19998}, {4728, 4895}, {4730, 47776}, {4825, 31150}, {4871, 17072}, {4905, 7972}, {4959, 48273}, {6154, 50499}, {6542, 47763}, {6544, 68829}, {6633, 57021}, {9269, 51071}, {9897, 48265}, {10609, 50336}, {10707, 31149}, {11607, 54230}, {14422, 45328}, {15343, 36236}, {15863, 59672}, {16173, 47841}, {17310, 47762}, {17756, 69481}, {20095, 31291}, {20980, 50028}, {21302, 29824}, {21630, 69359}, {23057, 69346}, {24864, 53535}, {25416, 48346}, {25666, 58158}, {30117, 48302}, {31209, 58157}, {31251, 31272}, {32028, 36237}, {32847, 48324}, {33337, 69311}, {33814, 39227}, {35962, 53376}, {40891, 47759}, {41140, 47760}, {41191, 48331}, {42322, 50501}, {45678, 53571}, {47814, 58159}, {47874, 68897}, {48049, 58164}, {48079, 58169}, {48111, 64056}, {48189, 50764}, {48285, 50335}, {48307, 60353}, {48332, 49771}, {48345, 70732}, {48352, 50016}, {48577, 71771}, {49988, 50507}, {50001, 50352}, {58334, 66199}, {62296, 70525}, {70288, 70769}

X(72060) = isogonal conjugate of X(39443)
X(72060) = crossdifference of every pair of points on line {6, 1646}
X(72060) = {X(3679),X(68824)}-harmonic conjugate of X(4448)

X(72061) = X(1)X(2)∩X(100)X(537)

X(72061) lies on these lines: {1, 2}, {31, 765}, {55, 23343}, {57, 66979}, {100, 537}, {190, 678}, {210, 16482}, {214, 9457}, {244, 43290}, {518, 34583}, {522, 3158}, {524, 16504}, {528, 70752}, {529, 67439}, {536, 3689}, {545, 57021}, {740, 4954}, {750, 51055}, {756, 71051}, {867, 12607}, {1621, 42056}, {1962, 46912}, {2177, 3570}, {3685, 4937}, {3699, 3722}, {3711, 16494}, {3913, 52242}, {4152, 4422}, {4383, 16501}, {4414, 71636}, {4418, 24345}, {4421, 23832}, {4432, 4767}, {4434, 62236}, {4781, 24821}, {4849, 16507}, {4952, 51402}, {6174, 9041}, {8616, 70736}, {8715, 13589}, {10196, 70793}, {16495, 21805}, {16500, 19723}, {17155, 64135}, {17318, 24408}, {19515, 37727}, {20095, 21093}, {21870, 50124}, {23644, 63526}, {23858, 24820}, {24427, 64161}, {24709, 53534}, {27918, 50120}, {31201, 49703}, {32775, 48821}, {32917, 51034}, {32918, 71639}, {32931, 48805}, {32937, 53340}, {34607, 69455}, {36815, 40172}, {42720, 50127}, {44663, 67416}, {46973, 67425}, {50078, 56176}, {50126, 71451}, {51035, 70909}, {56009, 70992}, {60714, 69539}

X(72061) = X(513)-isoconjugate of X(39443)
X(72061) = X(39026)-Dao conjugate of X(39443)
X(72061) = barycentric product X(6381)*X(19621)
X(72061) = barycentric quotient X(i)/X(j) for these {i,j}: {101, 39443}, {19621, 37129}
X(72061) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17780, 9458}, {2, 50079, 71753}, {3158, 67066, 32925}, {3935, 70841, 17763}, {17318, 27921, 24408}

X(72062) = X(1)X(6)∩X(32)X(1252)

X(72062) lies on these lines: {1, 6}, {32, 1252}, {41, 68825}, {100, 1017}, {101, 20331}, {145, 35092}, {650, 6161}, {896, 67432}, {899, 5091}, {1015, 57192}, {1026, 37540}, {3204, 68828}, {3240, 3573}, {3758, 16820}, {4585, 36275}, {5277, 68812}, {5375, 54230}, {6790, 54389}, {17281, 49998}, {24281, 53337}, {52946, 67583}, {52963, 70834}, {62846, 71082}

X(72062) = X(514)-isoconjugate of X(39443)
X(72062) = crossdifference of every pair of points on line {513, 3999}
X(72062) = barycentric product X(536)*X(19621)
X(72062) = barycentric quotient X(i)/X(j) for these {i,j}: {692, 39443}, {19621, 3227}
X(72062) = {X(1),X(67385)}-harmonic conjugate of X(49515)

X(72063) = X(2)X(37)∩X(6)X(1016)

X(72063) lies on these lines: {2, 37}, {6, 1016}, {8, 16482}, {9, 23891}, {44, 24509}, {45, 874}, {145, 16507}, {519, 16495}, {545, 30866}, {594, 71050}, {646, 4422}, {668, 4370}, {889, 35123}, {1083, 70417}, {2321, 57038}, {2325, 6381}, {3161, 4391}, {3770, 17340}, {3943, 70809}, {3950, 68967}, {4033, 4473}, {4582, 17262}, {7258, 25536}, {9024, 36798}, {16672, 71820}, {17261, 69538}, {17350, 36275}, {20092, 39994}, {20331, 31002}, {23354, 24482}, {25728, 69034}, {36804, 70287}, {45666, 68101}, {49517, 71837}, {52716, 71770}, {70732, 71560}

X(72063) = X(649)-isoconjugate of X(39443)
X(72063) = X(5375)-Dao conjugate of X(39443)
X(72063) = crossdifference of every pair of points on line {667, 33917}
X(72063) = barycentric product X(19621)*X(35543)
X(72063) = barycentric quotient X(i)/X(j) for these {i,j}: {100, 39443}, {19621, 739}

X(72064) = X(100)X(667)∩X(512)X(4763)

X(72064) lies on these lines: {100, 667}, {512, 4763}, {514, 9508}, {900, 69328}, {1635, 29188}, {3826, 6008}, {4063, 36848}, {4083, 5883}, {4705, 47763}, {4728, 47837}, {4730, 27013}, {4776, 4834}, {4777, 31010}, {6002, 28603}, {6006, 70740}, {25666, 58175}, {28209, 48003}, {29058, 45679}, {29070, 47776}, {29150, 47835}, {30595, 48171}, {31209, 58173}, {31288, 50499}, {47761, 50501}, {47767, 68836}, {47814, 58181}, {48049, 58177}, {48573, 68894}

X(72064) = midpoint of X(i) and X(j) for these {i,j}: {4063, 36848}, {4705, 47763}, {4776, 4834}, {30595, 48171}, {47761, 50501}, {47814, 58181}
X(72064) = reflection of X(i) in X(j) for these {i,j}: {4776, 65449}, {52601, 47761}

X(72065) = X(2)X(1757)∩X(31)X(765)

X(72065) lies on these lines: {2, 1757}, {31, 765}, {81, 42056}, {519, 32930}, {536, 32938}, {537, 32911}, {551, 27065}, {748, 51055}, {756, 46922}, {1999, 4937}, {3241, 70742}, {3679, 6539}, {3681, 50300}, {4005, 50064}, {4418, 50127}, {4664, 61358}, {4683, 48821}, {4753, 41242}, {4756, 49489}, {5311, 63108}, {6057, 28337}, {9458, 62795}, {16669, 32927}, {16834, 32925}, {17011, 50777}, {17378, 70874}, {17781, 50091}, {27064, 31136}, {28333, 33067}, {31161, 32914}, {32772, 51034}, {32860, 49721}, {32928, 50124}, {41241, 49712}

X(72065) = {X(31161),X(68966)}-harmonic conjugate of X(32914)

X(72066) = X(6)X(1016)∩X(75)X(4675)

X(72066) lies on these lines: {6, 1016}, {75, 4675}, {350, 50123}, {668, 50113}, {1909, 4727}, {3241, 60861}, {3264, 29619}, {3770, 17314}, {4007, 52716}, {4033, 29588}, {4358, 17315}, {4460, 29802}, {4671, 31011}, {4889, 17787}, {5564, 24589}, {17145, 28597}, {17319, 69538}, {17388, 70809}, {17389, 17790}, {24004, 63052}, {30866, 50112}, {40875, 50125}, {49517, 71838}, {50087, 64133}

X(72067) = X(1)X(2)∩X(31)X(51055)

X(72067) lies on these lines: {1, 2}, {31, 51055}, {536, 3748}, {537, 1621}, {744, 69519}, {3750, 69539}, {4418, 17715}, {4664, 62849}, {4688, 32945}, {4864, 32917}, {5284, 42056}, {10389, 17155}, {15570, 32919}, {16064, 68760}, {17469, 46922}, {24841, 70520}, {31161, 32930}, {32771, 48805}, {32844, 37703}, {32920, 62862}, {32925, 62856}, {32927, 42819}, {33112, 49696}, {33123, 48821}, {38316, 64178}, {49491, 70834}, {49746, 71798}, {50078, 51715}, {50126, 71452}, {50300, 62806}, {51035, 71794}, {60714, 70992}

X(72067) = {X(3957),X(71517)}-harmonic conjugate of X(32914)

X(72068) = X(1)X(2)∩X(55)X(42054)

X(72068) lies on these lines: {1, 2}, {55, 42054}, {537, 4421}, {678, 32933}, {726, 3158}, {1376, 42053}, {2796, 34607}, {3689, 32920}, {3699, 17715}, {3722, 4011}, {3749, 4090}, {3971, 67066}, {4052, 54946}, {4096, 4428}, {4432, 59597}, {4434, 41711}, {8715, 49127}, {10389, 59517}, {16496, 59679}, {17063, 43290}, {17596, 71636}, {17766, 25568}, {20075, 21093}, {24165, 64135}, {28562, 28609}, {32927, 42044}, {49455, 60714}, {50127, 59676}, {62834, 71634}

X(72068) = reflection of X(i) in X(j) for these {i,j}: {34625, 49608}, {49636, 59722}
X(72068) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {200, 71520, 16825}, {3870, 70841, 29649}, {3961, 29670, 36480}

X(72069) = X(1)X(2)∩X(55)X(42055)

X(72069) lies on these lines: {1, 2}, {55, 42055}, {537, 4428}, {726, 10389}, {1001, 4096}, {1707, 49535}, {2796, 10385}, {3052, 49491}, {3175, 3748}, {3243, 71489}, {3475, 17766}, {3722, 3980}, {3749, 49479}, {3750, 49455}, {3923, 17715}, {3971, 62856}, {4011, 71630}, {4052, 30331}, {4421, 42053}, {4654, 28562}, {4864, 32916}, {4865, 37703}, {17469, 19738}, {17716, 42028}, {19723, 41711}, {26098, 49696}, {32923, 50106}, {32927, 62862}, {33111, 49695}, {37553, 49464}, {38316, 59517}, {41629, 49490}, {62875, 71521}

X(72069) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 29670, 29668}, {1, 71520, 29649}, {3870, 71517, 16825}, {3938, 29651, 36480}

X(72070) = X(2)X(1757)∩X(31)X(51055)

X(72070) lies on these lines: {2, 1757}, {31, 51055}, {38, 46922}, {81, 537}, {354, 16482}, {519, 4418}, {536, 32940}, {551, 3219}, {894, 31136}, {3758, 54352}, {3873, 50300}, {3989, 29580}, {4644, 33120}, {4649, 69539}, {4664, 62821}, {4683, 28333}, {4688, 32864}, {4722, 68966}, {7277, 32844}, {9458, 37520}, {16834, 17155}, {17017, 63108}, {17019, 50777}, {17120, 17449}, {17154, 69632}, {17378, 71795}, {17763, 31161}, {26223, 31137}, {31178, 32914}, {32915, 49721}, {32924, 50124}, {32929, 51093}, {32930, 50127}, {32948, 62240}, {33067, 48821}, {33162, 62230}, {37633, 42056}, {42028, 42039}, {49455, 63039}, {49499, 62846}, {51035, 71793}

X(72071) = X(2)X(1757)∩X(6)X(42054)

X(72071) lies on these lines: {2, 1757}, {6, 42054}, {44, 29651}, {193, 69297}, {519, 4217}, {551, 41229}, {1707, 71634}, {3175, 50283}, {3751, 4011}, {3961, 71635}, {3980, 71521}, {4383, 42053}, {4663, 35652}, {4685, 50127}, {4722, 29649}, {5220, 29644}, {16669, 32920}, {17781, 50287}, {19722, 50094}, {19738, 42041}, {20464, 42042}, {23812, 38057}, {29652, 49712}, {29668, 41241}, {31161, 63060}, {32935, 42051}, {32938, 42044}, {49455, 63074}, {49685, 56082}

X(72071) = {X(3751),X(71515)}-harmonic conjugate of X(4011)

X(72072) = X(2)X(1757)∩X(6)X(42055)

X(72072) lies on these lines: {2, 1757}, {6, 42055}, {38, 19738}, {519, 50043}, {551, 62874}, {940, 4096}, {984, 42028}, {3175, 32935}, {3751, 3980}, {3758, 29652}, {3874, 48867}, {4011, 62819}, {4362, 41629}, {4641, 29651}, {4644, 29673}, {4697, 64070}, {4722, 16825}, {4865, 7277}, {4921, 32771}, {17120, 62865}, {19722, 29644}, {19723, 24325}, {24821, 58820}, {29649, 71630}, {29650, 62235}, {29668, 54352}, {29670, 62795}, {29820, 71635}, {32940, 49488}, {33165, 62230}, {37685, 49455}, {42045, 71795}, {42051, 50283}, {42057, 50127}, {48812, 67976}, {49520, 62808}, {49535, 62834}, {63057, 69297}

X(72072) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3751, 71518, 3980}, {62819, 71521, 4011}

X(72073) = X(2)X(1757)∩X(81)X(4096)

X(72073) lies on these lines: {2, 1757}, {81, 4096}, {756, 42028}, {984, 19738}, {1215, 4921}, {3175, 4663}, {3751, 32930}, {3938, 71635}, {4418, 4685}, {4722, 17763}, {5220, 19722}, {5904, 48867}, {16669, 32923}, {19723, 32771}, {20086, 69297}, {24821, 45222}, {32911, 42055}, {32914, 63060}, {32935, 50106}, {32945, 71638}, {33761, 58381}, {42041, 46922}, {42044, 50283}

X(72073) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4722, 71630, 41629}, {41629, 71630, 17763}

X(72074) = X(2)X(1757)∩X(81)X(42054)

X(72074) lies on these lines: {2, 1757}, {81, 42054}, {3679, 50234}, {3751, 4418}, {4644, 33117}, {4663, 32940}, {4722, 32914}, {7277, 33072}, {20068, 69632}, {20072, 29685}, {31161, 41629}, {31178, 63060}, {32911, 42053}, {32930, 42057}, {32935, 42044}, {32938, 35652}, {32943, 71638}, {42025, 50094}, {42028, 42041}, {42039, 46922}, {49455, 63095}, {50106, 50283}, {62230, 69298}

X(72075) = X(2)X(4864)∩X(75)X(200)

X(72075) lies on these lines: {2, 4864}, {7, 15519}, {8, 6933}, {31, 765}, {37, 71526}, {42, 17393}, {55, 17336}, {57, 43290}, {65, 70743}, {75, 200}, {100, 71793}, {145, 1997}, {190, 3158}, {210, 17335}, {312, 3935}, {319, 7172}, {341, 3811}, {344, 6555}, {518, 71529}, {612, 17394}, {1088, 65199}, {1376, 49499}, {2340, 24524}, {3685, 59597}, {3689, 32937}, {3699, 3870}, {3711, 3757}, {3759, 4849}, {3769, 70841}, {3873, 17780}, {3957, 30829}, {3961, 25496}, {3996, 42034}, {4090, 4676}, {4323, 64499}, {4421, 62222}, {4640, 71636}, {4702, 4903}, {4737, 69275}, {4899, 59584}, {4952, 29840}, {5205, 41711}, {5423, 17264}, {5524, 32920}, {6557, 12630}, {7081, 49450}, {7256, 56439}, {7322, 51488}, {9458, 62869}, {10578, 17263}, {15570, 26103}, {17122, 51055}, {17277, 62218}, {17329, 44419}, {17596, 49501}, {17597, 31233}, {17716, 71634}, {18134, 49991}, {20015, 28808}, {20937, 32926}, {20942, 66469}, {24477, 49714}, {25306, 61166}, {25568, 32850}, {30318, 40420}, {32916, 50075}, {32939, 64135}, {33116, 63168}, {34772, 44720}, {36845, 37758}, {42033, 53661}, {48696, 69493}, {49447, 60714}, {49465, 59298}, {49503, 59679}, {49536, 59593}, {56084, 64146}, {62822, 67343}, {65020, 66063}, {71451, 71630}, {71477, 71639}

X(72075) = barycentric product X(i)*X(j) for these {i,j}: {765, 26572}, {36639, 67038}
X(72075) = barycentric quotient X(i)/X(j) for these {i,j}: {26572, 1111}, {36639, 2170}
X(72075) = {X(3699),X(3870)}-harmonic conjugate of X(18743)

X(72076) = X(1)X(312)∩X(2)X(4864)

X(72076) lies on these lines: {1, 312}, {2, 4864}, {8, 50393}, {31, 51055}, {75, 3957}, {190, 62856}, {333, 3243}, {968, 24841}, {1233, 64133}, {1621, 49499}, {3263, 17394}, {3475, 4514}, {3699, 10582}, {3705, 37703}, {3748, 24349}, {3757, 42871}, {3758, 62806}, {3769, 62867}, {3870, 19804}, {4441, 17393}, {4661, 17335}, {4664, 71794}, {4666, 30829}, {4851, 70456}, {5423, 38314}, {7262, 49535}, {7321, 20075}, {8616, 49491}, {10389, 32939}, {10453, 15570}, {10578, 32851}, {14829, 62815}, {16823, 41711}, {17165, 62862}, {17241, 33091}, {17317, 20020}, {17715, 49479}, {17724, 29843}, {17774, 58463}, {18134, 49466}, {18743, 29817}, {20045, 62866}, {24477, 30608}, {25557, 63139}, {26227, 62863}, {29651, 49675}, {32923, 49470}, {32937, 42819}, {33124, 36479}, {34860, 37573}, {42029, 68969}, {44720, 54392}, {49447, 62849}, {49490, 71517}, {51099, 63140}, {62229, 63977}

X(72076) = {X(32923),X(67209)}-harmonic conjugate of X(49470)

X(72077) = X(1)X(4487)∩X(2)X(4864)

X(72077) lies on these lines: {1, 4487}, {2, 4864}, {8, 6856}, {42, 17793}, {81, 7256}, {200, 4359}, {321, 3935}, {354, 17780}, {518, 71479}, {3158, 32933}, {3623, 6552}, {3681, 71476}, {3689, 17165}, {3699, 3957}, {3722, 4090}, {3744, 41241}, {3811, 4696}, {3870, 4358}, {3873, 71529}, {3896, 32927}, {3930, 71492}, {3938, 70942}, {3961, 32772}, {4042, 26227}, {4421, 71793}, {4430, 24593}, {4849, 20045}, {4861, 4935}, {4942, 32929}, {4952, 29832}, {4981, 29670}, {5014, 25568}, {5425, 67343}, {5524, 32923}, {7081, 62236}, {9776, 15519}, {17150, 21870}, {17264, 53660}, {17469, 71634}, {18139, 49991}, {21805, 71520}, {27003, 43290}, {31161, 71450}, {33113, 63168}, {49482, 71637}, {49694, 61648}, {50748, 69298}, {51583, 59584}, {59181, 65199}, {63159, 68245}

X(72077) = reflection of X(71479) in X(71639)

X(72078) = X(1)X(996)∩X(2)X(4864)

X(72078) lies on these lines: {1, 996}, {2, 4864}, {8, 36867}, {145, 30588}, {321, 3957}, {518, 71478}, {896, 49535}, {902, 49491}, {1150, 3243}, {1155, 17146}, {1279, 41241}, {1441, 37736}, {1621, 62222}, {3006, 37703}, {3475, 5014}, {3722, 49479}, {3748, 17165}, {3870, 4359}, {3873, 71477}, {3896, 3979}, {3935, 24589}, {3936, 49466}, {3938, 50302}, {3952, 42819}, {4428, 71793}, {4487, 54318}, {4689, 17154}, {4879, 35353}, {4981, 29651}, {7081, 62863}, {7321, 20095}, {10389, 32933}, {10578, 33113}, {15570, 29824}, {16823, 62236}, {17051, 37762}, {17126, 51055}, {17450, 70841}, {17724, 29835}, {20045, 49478}, {20905, 63161}, {21806, 49464}, {21870, 68958}, {24542, 49529}, {24594, 46917}, {26227, 42871}, {29670, 62869}, {29822, 49465}, {29830, 49688}, {31025, 49467}, {31161, 71414}, {31178, 71451}, {32920, 67209}, {32937, 62862}, {33112, 49695}, {33122, 36479}, {41711, 70316}, {46909, 49675}, {49499, 61155}, {49700, 61707}, {50305, 70970}, {58560, 71639}, {62867, 71520}

X(72078) = {X(3979),X(32923)}-harmonic conjugate of X(3896)

X(72079) = X(1)X(1120)∩X(2)X(4864)

X(72079) lies on these lines: {1, 1120}, {2, 4864}, {8, 17718}, {55, 62222}, {75, 3935}, {85, 65199}, {100, 49499}, {145, 17721}, {200, 19804}, {312, 3870}, {354, 71529}, {518, 71477}, {519, 17717}, {750, 51055}, {1155, 71636}, {2177, 49447}, {3158, 32939}, {3306, 43290}, {3315, 31233}, {3681, 71478}, {3689, 24349}, {3711, 16823}, {3722, 4676}, {3748, 27538}, {3758, 42720}, {3759, 20045}, {3812, 70743}, {3938, 32944}, {3957, 18743}, {3961, 50302}, {3996, 42029}, {4023, 50310}, {4090, 17715}, {4126, 63287}, {4414, 49501}, {4434, 49498}, {4514, 25568}, {4689, 31302}, {4851, 70452}, {5205, 42871}, {5233, 49466}, {5774, 68889}, {7081, 41711}, {10584, 65020}, {15570, 30947}, {15934, 68245}, {17233, 50744}, {17234, 49991}, {17241, 60459}, {17264, 53661}, {17336, 61155}, {17386, 50000}, {17387, 62668}, {17780, 64149}, {20058, 26738}, {25439, 69493}, {26227, 49450}, {29675, 49693}, {29839, 30615}, {30608, 49714}, {31161, 71451}, {32851, 63168}, {32917, 50075}, {32927, 49470}, {33165, 50748}, {42042, 70713}, {49490, 70841}, {49491, 56010}, {71452, 71630}

X(72079) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3699, 30829}, {26227, 62236, 49450}, {32927, 67207, 49470}

X(72080) = X(1)X(341)∩X(2)X(4864)

X(72080) lies on these lines: {1, 341}, {2, 4864}, {8, 44840}, {42, 31005}, {55, 49499}, {75, 3870}, {171, 51055}, {190, 10389}, {312, 3957}, {350, 17018}, {354, 71639}, {518, 71476}, {519, 33111}, {846, 49501}, {1621, 17336}, {3243, 14829}, {3475, 32850}, {3550, 49491}, {3622, 6555}, {3681, 17335}, {3685, 4942}, {3699, 4666}, {3742, 71529}, {3744, 3758}, {3748, 32937}, {3750, 49447}, {3755, 19830}, {3757, 4042}, {3769, 49490}, {3873, 71479}, {3920, 17394}, {3935, 19804}, {3938, 32772}, {3952, 62862}, {3979, 32920}, {4417, 49466}, {4428, 62222}, {4650, 49535}, {4676, 17715}, {4851, 20056}, {4906, 59298}, {5437, 43290}, {7081, 42871}, {7321, 17784}, {8236, 56084}, {9352, 17146}, {10327, 17241}, {10578, 33116}, {10580, 37758}, {17319, 69866}, {17361, 63134}, {17379, 40883}, {17594, 24841}, {26098, 49695}, {27538, 42819}, {29641, 37703}, {29670, 49675}, {29817, 30829}, {29838, 65969}, {29839, 49688}, {31161, 71452}, {31178, 71450}, {32923, 67207}, {32927, 67209}, {33126, 36479}, {33169, 50748}, {37736, 69765}, {42034, 68969}, {42697, 64146}, {49451, 55095}, {49465, 59297}, {51058, 71492}

X(72080) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3757, 41711, 49450}, {3979, 32920, 49470}, {49490, 71520, 3769}

X(72081) = X(31)X(765)∩X(42)X(17336)

X(72081) lies on these lines: {31, 765}, {42, 17336}, {210, 3758}, {518, 70485}, {756, 17394}, {1757, 32916}, {1992, 5423}, {3715, 4687}, {3751, 18743}, {3759, 32937}, {3769, 4090}, {3974, 62231}, {4082, 17377}, {4104, 19827}, {4383, 49499}, {4661, 41241}, {4663, 27538}, {4676, 71515}, {4849, 17350}, {7262, 71634}, {7322, 46922}, {15481, 59297}, {17123, 51055}, {17346, 53663}, {17351, 59295}, {17393, 61358}, {25496, 50075}, {27064, 49450}, {29821, 49501}, {32911, 71794}, {37683, 59596}, {50077, 69089}

X(72082) = X(8)X(19833)∩X(31)X(51055)

X(72082) lies on these lines: {8, 19833}, {31, 51055}, {81, 49499}, {312, 62819}, {354, 70485}, {518, 70484}, {3751, 19804}, {3758, 3873}, {3759, 17140}, {4514, 4644}, {4664, 71793}, {4676, 62867}, {4697, 49498}, {4883, 17350}, {4981, 41847}, {5311, 49501}, {7174, 42028}, {7226, 17394}, {17120, 17597}, {17241, 33166}, {17336, 29814}, {17361, 29667}, {17378, 63147}, {17387, 32862}, {17716, 49535}, {19717, 62868}, {20068, 62801}, {24841, 62845}, {28582, 58820}, {31233, 65112}, {31302, 37595}, {32913, 32916}, {32932, 64165}, {32939, 68588}, {32940, 49470}, {46922, 62833}, {49447, 62821}, {49490, 71518}, {49491, 62841}, {62844, 69493}

X(72083) = X(6)X(69505)∩X(518)X(41241)

X(72083) lies on these lines: {6, 69505}, {518, 41241}, {896, 71634}, {1757, 32917}, {1992, 53661}, {3578, 53663}, {3616, 18490}, {3629, 50000}, {3681, 70419}, {3751, 4358}, {3896, 32938}, {3952, 4663}, {3994, 49685}, {4090, 4722}, {4427, 21870}, {5739, 5772}, {14997, 49499}, {15481, 29822}, {16669, 20045}, {17025, 49501}, {17351, 19998}, {17365, 71102}, {21805, 71521}, {37639, 59596}, {46909, 49712}, {49693, 61707}, {62222, 69539}, {71414, 71515}, {71489, 71637}

X(72084) = X(354)X(41241)∩X(518)X(70482)

X(72084) lies on these lines: {354, 41241}, {518, 70482}, {1100, 20068}, {2308, 49491}, {3751, 4359}, {3758, 4430}, {3873, 70481}, {3896, 32940}, {4358, 62819}, {4644, 5014}, {4663, 17140}, {4722, 49479}, {8025, 49515}, {17120, 62814}, {17127, 51055}, {17350, 62866}, {17450, 71515}, {17469, 49535}, {17771, 29685}, {19738, 62833}, {31302, 62801}, {32913, 32918}, {32929, 64165}, {32933, 68588}, {33091, 62230}, {37685, 49499}, {42045, 63147}, {49490, 71452}, {62867, 71521}, {71450, 71518}

X(72085) = X(312)X(3751)∩X(518)X(70481)

X(72085) lies on these lines: {312, 3751}, {518, 70481}, {748, 51055}, {3681, 3758}, {3699, 62812}, {3744, 71635}, {3759, 17165}, {3769, 4722}, {3996, 50127}, {4388, 47359}, {4430, 41241}, {4650, 71634}, {4663, 32937}, {4676, 71452}, {7322, 42028}, {10180, 51297}, {17017, 49501}, {17018, 17336}, {17351, 20012}, {17360, 69296}, {17361, 29679}, {17386, 69301}, {26223, 49450}, {27064, 64070}, {30829, 62819}, {32772, 50075}, {32911, 49499}, {32912, 32918}, {32938, 49470}, {33066, 59406}, {37684, 59596}, {44720, 54421}, {49447, 61358}, {49478, 70742}, {49490, 71515}, {71450, 71521}

X(72086) = X(1)X(17336)∩X(6)X(49499)

X(72086) lies on these lines: {1, 17336}, {6, 49499}, {8, 11008}, {10, 17361}, {69, 5772}, {75, 3751}, {86, 5223}, {145, 17351}, {190, 68588}, {238, 51055}, {320, 59406}, {518, 3758}, {537, 70681}, {894, 49450}, {984, 17394}, {1100, 31302}, {1279, 71635}, {1698, 48638}, {1757, 17335}, {3242, 17120}, {3616, 15481}, {3618, 38046}, {3622, 16814}, {3685, 64165}, {3717, 17378}, {3759, 4663}, {3790, 17386}, {3873, 70483}, {3932, 17387}, {4026, 17329}, {4307, 49698}, {4356, 49748}, {4389, 5850}, {4393, 28582}, {4644, 32850}, {4645, 47359}, {4649, 17393}, {4664, 62222}, {4667, 4899}, {4672, 49498}, {4676, 49490}, {4684, 17354}, {4687, 5220}, {4751, 60731}, {4764, 49486}, {4860, 31233}, {4883, 70742}, {4966, 17342}, {5542, 17352}, {7174, 46922}, {7277, 50289}, {10327, 62230}, {16468, 49491}, {16474, 69493}, {16475, 24841}, {17227, 38047}, {17317, 27549}, {17350, 49478}, {17360, 34379}, {17364, 49524}, {17371, 49511}, {17379, 49515}, {17771, 29659}, {18743, 62819}, {20050, 49485}, {24821, 50281}, {27191, 59372}, {29617, 51124}, {32912, 32917}, {32935, 49470}, {33682, 49503}, {41847, 49712}, {49489, 49532}, {49493, 49685}, {49695, 50303}, {49697, 50301}, {49714, 68589}, {50075, 50302}, {50127, 68969}, {70461, 70610}

X(72086) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {894, 64070, 49450}, {4649, 49447, 17393}, {4663, 24349, 3759}, {49490, 71521, 4676}

X(72087) = X(1)X(64436)∩X(31)X(765)

X(72087) lies on these lines: {1, 64436}, {2, 49697}, {31, 765}, {42, 17319}, {43, 71794}, {200, 4418}, {210, 57024}, {3681, 32916}, {3689, 32938}, {3711, 32771}, {3873, 9458}, {3920, 71634}, {3935, 4090}, {3938, 70485}, {3996, 71630}, {4849, 32927}, {5263, 71637}, {5524, 17165}, {6541, 53660}, {9342, 49491}, {9350, 49499}, {17336, 17782}, {17780, 32913}, {21060, 32947}, {21805, 32914}, {21870, 32928}, {24165, 54309}, {25568, 33117}, {26037, 55076}, {27538, 67207}, {32912, 71529}, {32915, 59597}, {32943, 59596}, {32949, 49991}, {49996, 62998}, {59511, 62236}, {66469, 71452}

X(72087) = {X(3935),X(4090)}-harmonic conjugate of X(32930)

X(72088) = X(1)X(3159)∩X(2)X(49697)

X(72088) lies on these lines: {1, 3159}, {2, 49697}, {31, 51055}, {1215, 62863}, {1621, 49491}, {1962, 24841}, {3219, 49535}, {3243, 31330}, {3244, 23812}, {3475, 33120}, {3742, 9458}, {3748, 32940}, {3873, 32916}, {3938, 70484}, {3957, 4418}, {3979, 17140}, {4430, 29651}, {4661, 24331}, {4864, 32772}, {4883, 32927}, {5542, 32948}, {15570, 32943}, {17146, 17596}, {17763, 62867}, {24349, 67209}, {25531, 71637}, {26034, 51099}, {29688, 58371}, {29851, 49529}, {29853, 59406}, {30942, 62815}, {30957, 44841}, {32771, 42871}, {32914, 49490}, {32920, 62866}, {32923, 49478}, {32935, 62862}, {32938, 42819}, {32949, 49466}, {33069, 36479}, {33119, 37703}, {49499, 62849}, {49704, 64164}, {49746, 71797}

X(72088) = {X(3957),X(49479)}-harmonic conjugate of X(4418)

X(72089) = X(1)X(56150)∩X(2)X(49697)

X(72089) lies on these lines: {1, 56150}, {2, 49697}, {6, 71786}, {8, 25385}, {10, 11520}, {200, 3980}, {210, 29651}, {3240, 49455}, {3243, 4871}, {3306, 49535}, {3681, 29670}, {3689, 32935}, {3699, 49490}, {3711, 24325}, {3749, 71515}, {3751, 70841}, {3870, 4011}, {3875, 4946}, {3923, 3935}, {3938, 70483}, {3952, 67207}, {3961, 70419}, {3979, 27538}, {4104, 29669}, {4413, 49491}, {4434, 64070}, {4849, 32920}, {4892, 71327}, {5205, 49498}, {5524, 24349}, {6541, 53661}, {6686, 62850}, {6745, 49536}, {16825, 21805}, {17593, 49501}, {17717, 49698}, {17718, 49693}, {21870, 32921}, {24003, 42871}, {24331, 63961}, {24552, 71637}, {25568, 29673}, {29676, 49707}, {29828, 49510}, {31034, 49996}, {32913, 71529}, {32927, 49488}, {32931, 49458}, {36480, 46897}, {37660, 49449}, {41711, 59511}, {49479, 67097}, {49499, 56009}

X(72089) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3870, 4090, 4011}, {32931, 62236, 49458}

X(72090) = X(1)X(979)∩X(2)X(49697)

X(72090) lies on these lines: {1, 979}, {2, 49697}, {10, 50393}, {55, 49491}, {63, 49535}, {171, 51055}, {518, 29651}, {1215, 42871}, {3242, 29644}, {3243, 3741}, {3475, 29673}, {3681, 24331}, {3748, 32935}, {3749, 71518}, {3750, 49499}, {3751, 71517}, {3757, 49498}, {3791, 64165}, {3840, 62815}, {3870, 3980}, {3873, 29670}, {3923, 3957}, {3938, 70482}, {3979, 24349}, {3996, 31178}, {4090, 4666}, {4362, 49490}, {4438, 37703}, {4864, 25496}, {4871, 44841}, {5272, 71634}, {6685, 62850}, {16496, 43223}, {17018, 24259}, {17140, 67207}, {17165, 67209}, {17592, 24841}, {19732, 49449}, {23812, 68589}, {24325, 41711}, {25385, 36845}, {29642, 49529}, {29649, 62867}, {29650, 62814}, {29652, 49675}, {29668, 46897}, {29669, 49511}, {29672, 59406}, {32771, 49458}, {32920, 49478}, {32923, 49488}, {32927, 62866}, {32931, 62863}, {32938, 62862}, {32946, 49466}, {33064, 36479}, {49451, 62226}, {62819, 71520}

X(72090) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3870, 49479, 3980}, {46897, 62869, 29668}

X(72091) = X(1)X(26688)∩X(2)X(49697)

X(72091) lies on these lines: {1, 26688}, {2, 49697}, {42, 17794}, {354, 9458}, {518, 32918}, {519, 33107}, {1215, 62236}, {3243, 30957}, {3689, 32940}, {3699, 62867}, {3870, 32930}, {3935, 4418}, {3938, 70481}, {3952, 3979}, {3957, 4090}, {3961, 70482}, {3996, 31161}, {4661, 29670}, {4849, 32923}, {5524, 17140}, {7191, 71634}, {17124, 51055}, {17778, 49996}, {21870, 32924}, {24003, 62863}, {25568, 33120}, {27003, 49535}, {27538, 67209}, {29690, 49707}, {29846, 49529}, {29848, 59406}, {32931, 41711}, {32937, 67207}, {32942, 71637}, {33105, 49698}, {33166, 50748}, {42042, 70720}, {42043, 71794}, {66469, 71451}, {67066, 68588}, {68969, 71630}

X(72092) = X(1)X(3952)∩X(2)X(49697)

X(72092) lies on these lines: {1, 3952}, {2, 49697}, {8, 21027}, {100, 49491}, {518, 32917}, {519, 33112}, {750, 51055}, {1054, 17146}, {2177, 49499}, {3218, 49535}, {3243, 30942}, {3475, 33117}, {3699, 17450}, {3748, 32938}, {3870, 4418}, {3935, 49479}, {3938, 70419}, {3957, 32930}, {3979, 17165}, {4090, 29817}, {4430, 29670}, {4661, 29651}, {4864, 32944}, {5235, 49449}, {5772, 33171}, {7292, 71634}, {9458, 64149}, {17117, 49983}, {17300, 49996}, {17763, 49490}, {24325, 62236}, {24349, 67207}, {24841, 46904}, {26227, 49498}, {29632, 49529}, {29638, 59406}, {30957, 62815}, {31161, 68969}, {31314, 68875}, {32771, 41711}, {32843, 49466}, {32927, 49478}, {32931, 42871}, {32937, 67209}, {33065, 36479}, {33115, 37703}, {33170, 50748}, {42042, 71794}, {46897, 49675}, {49704, 61707}, {49771, 61652}, {59511, 62863}

X(72093) = X(31)X(765)∩X(42)X(17261)

X(72093) lies on these lines: {31, 765}, {42, 17261}, {43, 71793}, {210, 4670}, {333, 71637}, {756, 24437}, {3219, 71634}, {3681, 25496}, {3699, 4722}, {3935, 71515}, {4090, 17763}, {4134, 60684}, {4418, 21805}, {4547, 25526}, {4849, 32938}, {8013, 63885}, {9340, 43290}, {9458, 32913}, {16670, 67066}, {17779, 20068}, {20086, 49994}, {21060, 29631}, {21870, 32936}, {25960, 47359}, {26688, 49498}, {32919, 59596}, {33107, 49697}, {37687, 49491}, {50016, 71117}, {67207, 70742}

X(72094) = X(1)X(20068)∩X(42)X(62300)

X(72094) lies on these lines: {1, 20068}, {31, 51055}, {42, 62300}, {81, 49491}, {3758, 62869}, {3873, 25496}, {3894, 60684}, {3920, 49535}, {3957, 71518}, {4418, 49490}, {4672, 62863}, {4883, 32938}, {5542, 29850}, {11038, 29853}, {17120, 29818}, {17146, 29821}, {17155, 68588}, {17378, 71796}, {17763, 62819}, {25961, 47359}, {29817, 71521}, {32860, 64165}, {32914, 49479}, {32930, 62867}, {32935, 62866}, {32940, 49478}, {49499, 62821}

X(72095) = X(43)X(62300)∩X(63)X(716234)

X(72095) lies on these lines: {43, 62300}, {63, 71634}, {200, 71521}, {518, 29668}, {740, 4942}, {1150, 71637}, {1215, 4042}, {1743, 71520}, {1757, 29670}, {3244, 30568}, {3681, 32772}, {3711, 4697}, {3751, 4090}, {3846, 47359}, {3870, 71515}, {3923, 3996}, {3967, 49497}, {3974, 71333}, {3979, 70742}, {3980, 21805}, {4135, 49495}, {4641, 71639}, {4661, 29652}, {4734, 24821}, {4759, 10389}, {4849, 32935}, {5223, 6685}, {5272, 49535}, {6686, 62823}, {21060, 29635}, {21870, 32934}, {26098, 49697}, {27064, 49458}, {29650, 49448}, {29842, 59408}, {29844, 49536}, {32912, 71479}, {32937, 49488}, {37679, 49491}, {42043, 62222}, {50127, 71450}, {59406, 69299}, {59511, 64070}, {59517, 68588}, {67097, 71518}, {69218, 71492}

X(72095) = {X(3751),X(4090)}-harmonic conjugate of X(29649)

X(72096) = X(1)X(4704)∩X(6)X(49491)

X(72096) lies on these lines: {1, 4704}, {6, 49491}, {10, 3620}, {86, 49503}, {238, 51055}, {518, 4670}, {519, 4307}, {726, 68588}, {740, 64165}, {894, 49458}, {1125, 5223}, {1449, 49464}, {1757, 24331}, {3243, 49482}, {3244, 3729}, {3306, 71634}, {3622, 51294}, {3626, 25590}, {3632, 17116}, {3636, 3731}, {3664, 49536}, {3751, 16825}, {3758, 49675}, {3836, 47359}, {3870, 71518}, {3873, 29668}, {3923, 49490}, {4001, 29669}, {4011, 62867}, {4430, 29652}, {4644, 17766}, {4649, 49455}, {4666, 71515}, {4672, 42871}, {4675, 49693}, {4697, 41711}, {4759, 38316}, {4864, 50300}, {4966, 50313}, {5686, 25352}, {6685, 62823}, {6686, 10980}, {10436, 49510}, {15570, 71638}, {16496, 33682}, {17154, 67211}, {17770, 36479}, {20057, 25269}, {20068, 67208}, {24231, 50287}, {24325, 64070}, {24349, 49488}, {28582, 50281}, {29649, 62819}, {29650, 62865}, {29651, 32912}, {29670, 32913}, {32935, 49478}, {32938, 62866}, {42045, 71796}, {46897, 54352}, {49483, 49497}, {49495, 50117}, {49676, 59406}, {49689, 68999}, {49696, 50303}, {49698, 50301}, {50127, 71414}, {60723, 62825}, {62812, 71520}

X(72096) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {894, 49498, 49458}, {3751, 49479, 16825}, {4649, 49499, 49455}

X(72097) = X(6)X(71790)∩X(8)X(61707)

X(72097) lies on these lines: {6, 71790}, {8, 61707}, {42, 62222}, {518, 32944}, {1757, 71478}, {3218, 71634}, {3681, 50302}, {3751, 17763}, {3935, 71521}, {3957, 71515}, {4663, 32927}, {4672, 62236}, {4756, 49471}, {4849, 32940}, {4899, 61652}, {7292, 49535}, {14829, 71637}, {17125, 51055}, {17154, 17779}, {17350, 67207}, {21060, 29845}, {21870, 32845}, {24821, 64161}, {25760, 47359}, {29834, 59408}, {31302, 67211}, {32843, 49529}, {32912, 71477}, {32930, 68969}, {32931, 64070}, {33065, 59406}, {33112, 49697}, {37680, 49491}, {41241, 49675}, {42043, 71793}, {46897, 49712}, {50127, 71451}, {64178, 68588}, {67209, 70742}

X(72098) = X(1)X(19743)∩X(8)X(64164)

X(72098) lies on these lines: {1, 19743}, {8, 64164}, {518, 32772}, {748, 51055}, {3751, 32914}, {3873, 70942}, {3935, 71518}, {3957, 71521}, {3996, 4418}, {4042, 32771}, {4663, 32923}, {4697, 62236}, {4942, 32915}, {7191, 49535}, {17120, 67210}, {17350, 67209}, {19684, 49503}, {24821, 27804}, {24841, 71184}, {25957, 47359}, {26223, 49498}, {27003, 71634}, {29817, 71515}, {31302, 67208}, {32911, 49491}, {32912, 71476}, {32913, 71479}, {32925, 68588}, {32930, 49490}, {32938, 49478}, {32949, 49529}, {33069, 59406}, {42042, 71793}, {49499, 61358}, {50127, 71452}

X(72099) = X(11)X(244)∩X(75)X(1577)

X(72099) lies on these lines: {11, 244}, {75, 1577}, {86, 1019}, {513, 41311}, {514, 4357}, {661, 4364}, {876, 48350}, {903, 45665}, {4369, 17305}, {4389, 4444}, {5241, 47784}, {17237, 55244}, {17320, 40459}, {21124, 21131}, {21143, 48131}, {21192, 21200}, {21211, 69359}, {27081, 46915}, {41312, 68829}, {46894, 70818}, {52745, 69535}, {67625, 68376}, {68956, 71091}

X(72099) = X(i)-isoconjugate of X(j) for these (i,j): {100, 35107}, {692, 35155}
X(72099) = X(i)-Dao conjugate of X(j) for these (i,j): {1086, 35155}, {8054, 35107}, {35089, 190}
X(72099) = crossdifference of every pair of points on line {101, 922}
X(72099) = barycentric product X(i)*X(j) for these {i,j}: {514, 35103}, {693, 68887}, {3261, 5163}, {4750, 46799}
X(72099) = barycentric quotient X(i)/X(j) for these {i,j}: {514, 35155}, {649, 35107}, {5163, 101}, {35103, 190}, {68887, 100}
X(72099) = {X(17237),X(55244)}-harmonic conjugate of X(71771)

X(72100) = X(1)X(4760)∩X(2)X(3721)

X(72100) lies on these lines: {1, 4760}, {2, 3721}, {8, 24699}, {65, 536}, {192, 65695}, {524, 3868}, {537, 24404}, {599, 20911}, {712, 5902}, {1992, 21216}, {2176, 70993}, {2292, 41312}, {2295, 4664}, {3726, 24282}, {3873, 35101}, {3894, 8682}, {3959, 17141}, {4465, 69493}, {4740, 21281}, {4950, 33865}, {5969, 33890}, {16834, 54382}, {17137, 51051}, {20590, 71795}, {21808, 41313}, {21937, 69239}, {30136, 71512}, {30139, 71513}, {49533, 69028}, {67977, 68890}, {68769, 69539}, {69247, 71437}

X(72101) = X(1)X(4760)∩X(65)X(712)

X(72101) lies on these lines: {1, 4760}, {65, 712}, {536, 50193}, {742, 4084}, {3721, 24254}, {3754, 71642}, {3868, 8682}, {3874, 35101}, {3905, 69234}, {4950, 33866}, {5883, 59515}, {5903, 68890}, {16822, 36283}, {17141, 69244}, {17760, 69247}, {24166, 71086}, {29691, 71790}, {30136, 71510}, {30139, 71509}, {68897, 71503}, {69249, 71436}

X(72101) = reflection of X(71642) in X(3754)

X(72102) = X(8)X(144)∩X(32)X(35103)

X(72102) lies on these lines: {8, 144}, {32, 35103}, {40, 17760}, {194, 1046}, {257, 3923}, {484, 71438}, {519, 20065}, {712, 69232}, {758, 71523}, {1697, 49528}, {2802, 71803}, {3125, 71778}, {3212, 17738}, {3496, 16822}, {4393, 62812}, {4674, 71775}, {5119, 71436}, {5903, 33952}, {7774, 49609}, {11010, 71437}, {15903, 16925}, {17733, 66152}, {29649, 71501}, {30124, 33870}, {32985, 49549}, {35101, 69235}, {37567, 70090}, {53332, 69242}

X(72102) = {X(3496),X(24282)}-harmonic conjugate of X(16822)

X(72103) = X(40)X(71436)∩X(46)X(17760)

X(72103) lies on these lines: {40, 71436}, {46, 17760}, {484, 71437}, {712, 69234}, {1046, 21216}, {1759, 16822}, {2093, 3729}, {2242, 35103}, {3125, 71780}, {3336, 71438}, {3509, 24282}, {3754, 71643}, {3874, 71523}, {4362, 66152}, {5119, 49528}, {5902, 33952}, {5903, 66147}, {17141, 69240}, {17497, 32912}, {24254, 36283}, {24628, 71073}, {29649, 71427}, {30119, 33870}, {30124, 33868}, {33866, 63817}, {36279, 70090}

X(72104) = X(1)X(24282)∩X(315)X(519)

X(72104) lies on these lines: {1, 24282}, {32, 35103}, {145, 33867}, {315, 519}, {517, 3905}, {758, 71522}, {2802, 71804}, {3125, 71779}, {3241, 68909}, {3735, 16822}, {3754, 71808}, {3875, 7982}, {3879, 12559}, {3924, 53332}, {4360, 66650}, {4561, 24440}, {4674, 71776}, {7763, 15903}, {9620, 17760}, {20535, 50029}, {29649, 71506}, {30136, 71427}, {30144, 57029}, {34511, 49549}, {69240, 71046}

X(72104) = {X(15903),X(49609)}-harmonic conjugate of X(7763)

X(72105) = X(1)X(24282)∩X(7)X(50010)

X(72205) lies on these lines: {1, 24282}, {7, 50010}, {335, 24249}, {942, 3905}, {3754, 71804}, {3875, 11529}, {3881, 71522}, {3924, 17141}, {4360, 66640}, {4561, 17063}, {5883, 71644}, {9620, 49528}, {17760, 69224}, {22836, 24166}, {24291, 24349}, {26234, 49454}, {29649, 71508}, {30139, 71500}, {30143, 69856}, {49521, 54318}, {58565, 71808}, {60683, 64133}

X(72106) = X(1)X(24282)∩X(7)X(145)

X(72106) lies on these lines: {1, 24282}, {7, 145}, {65, 3905}, {2241, 35103}, {3125, 71781}, {3721, 16822}, {3754, 71644}, {3874, 71522}, {4051, 32029}, {4360, 66646}, {4561, 24174}, {4658, 17103}, {5883, 71808}, {9620, 71436}, {11533, 17321}, {17141, 49487}, {17143, 33930}, {17753, 50010}, {19860, 49521}, {20911, 49454}, {22836, 57029}, {24166, 30144}, {24333, 33890}, {28082, 53332}, {29649, 71504}, {30136, 71500}, {30139, 71427}, {30147, 69856}, {37549, 59509}, {69242, 71046}

X(72107) = X(10)X(762)∩X(172)X(519)

X(72107) lies on these lines: {1, 71089}, {8, 3509}, {10, 762}, {65, 4071}, {172, 519}, {226, 69594}, {518, 4167}, {712, 24211}, {758, 4109}, {910, 4168}, {1215, 21965}, {1400, 2321}, {2276, 49609}, {3686, 5279}, {3727, 29655}, {3754, 71008}, {3868, 4165}, {3959, 29673}, {3985, 21049}, {4084, 4153}, {4095, 40663}, {4119, 5836}, {4659, 17950}, {4987, 7270}, {5257, 27714}, {5883, 71809}, {16549, 49781}, {17164, 21029}, {17760, 24318}, {20352, 53129}, {20461, 21024}, {21025, 69297}, {21044, 56318}, {22021, 38408}, {23942, 48642}, {24240, 69256}, {26532, 70095}, {35103, 69260}, {36500, 69240}, {49688, 70946}, {50582, 70461}, {59512, 71840}, {69038, 71436}

X(72107) = {X(65),X(4136)}-harmonic conjugate of X(4071)

X(72108) = X(1)X(7)∩X(10)X(17211)

X(72108) lies on these lines: {1, 7}, {10, 17211}, {11, 24240}, {36, 15903}, {65, 4920}, {226, 68478}, {244, 69035}, {519, 20553}, {527, 5291}, {712, 4071}, {758, 65116}, {946, 24172}, {986, 33949}, {1086, 68995}, {1269, 17762}, {1738, 69575}, {1959, 53590}, {3120, 69699}, {3661, 4054}, {3676, 28478}, {3754, 71812}, {3912, 71427}, {4109, 70968}, {5074, 71840}, {5883, 71810}, {5902, 24241}, {6381, 18066}, {6549, 49764}, {11813, 21208}, {14210, 49676}, {17205, 70810}, {20911, 56949}, {24318, 69247}, {30806, 32856}, {33064, 33936}, {35103, 69174}, {40690, 71843}, {53600, 57015}, {57029, 71085}

X(72108) = reflection of X(71089) in X(69174)
X(72108) = {X(65),X(4920)}-harmonic conjugate of X(24211)

X(72109) = X(100)X(667)∩X(514)X(661)

X(72109) lies on these lines: {100, 667}, {239, 31209}, {513, 17264}, {514, 661}, {650, 6542}, {1635, 70727}, {1643, 17389}, {3797, 28898}, {3799, 9320}, {4147, 26015}, {4562, 42722}, {4664, 69535}, {4763, 5029}, {5098, 27486}, {6008, 20533}, {6544, 71753}, {8661, 50355}, {9260, 29824}, {14321, 24133}, {17230, 62552}, {17294, 68835}, {17310, 31150}, {17354, 53535}, {20016, 27115}, {20901, 21440}, {20906, 37788}, {20940, 21613}, {29583, 62635}, {29590, 31287}, {29989, 30016}, {30583, 71050}, {30836, 30857}, {32847, 47729}, {32849, 47763}, {32851, 47761}, {40459, 47762}, {40891, 44567}, {45679, 68823}, {60577, 70288}, {64867, 71000}, {69102, 69333}

X(72109) = crossdifference of every pair of points on line {31, 1646}

X(72110) = X(2)X(37)∩X(31)X(765)

X(72110) lies on these lines: {2, 37}, {31, 765}, {44, 70724}, {190, 24685}, {210, 24482}, {518, 24495}, {528, 4518}, {537, 2108}, {846, 42056}, {3570, 17336}, {3681, 24494}, {3758, 68875}, {3807, 14439}, {4169, 35957}, {4370, 57030}, {4448, 4926}, {6174, 71641}, {6184, 52151}, {6546, 69532}, {10196, 14437}, {17233, 24318}, {17240, 71759}, {17242, 69009}, {17262, 27912}, {17297, 70090}, {17315, 71844}, {17346, 71757}, {17393, 71133}, {17780, 62838}, {20693, 63049}, {27538, 69715}, {27919, 51053}, {32041, 43270}, {48630, 70865}, {49447, 52908}

X(72111) = X(2)X(187)∩X(3)X(3734)

See Stanley Rabinowitz, Antreas Hatzipolakis and Peter Moses, euclid 9344.

X(72111) lies on these lines: {2, 187}, {3, 3734}, {5, 7830}, {6, 15482}, {15, 69166}, {16, 69159}, {30, 58446}, {32, 6683}, {35, 69256}, {36, 69136}, {39, 385}, {76, 33004}, {83, 35007}, {98, 15483}, {99, 8589}, {115, 8356}, {140, 626}, {141, 542}, {183, 538}, {193, 63952}, {194, 31652}, {230, 4045}, {302, 14905}, {303, 14904}, {315, 31455}, {325, 7810}, {384, 15513}, {474, 36812}, {543, 11168}, {575, 40108}, {599, 7622}, {623, 44223}, {624, 52650}, {631, 3788}, {754, 3815}, {993, 27076}, {1003, 8588}, {1500, 71449}, {1506, 7750}, {1656, 7825}, {1975, 15515}, {2482, 5939}, {2548, 32978}, {2549, 32457}, {2794, 37451}, {2896, 7769}, {3053, 7808}, {3054, 6722}, {3096, 7874}, {3111, 5108}, {3329, 5008}, {3523, 7795}, {3524, 69206}, {3526, 7784}, {3530, 7789}, {3589, 41413}, {3619, 33216}, {3763, 11288}, {3767, 32990}, {3785, 7759}, {3793, 9300}, {3819, 35060}, {3917, 14962}, {4048, 55674}, {5007, 7786}, {5013, 7751}, {5023, 69172}, {5024, 7798}, {5041, 6179}, {5052, 60702}, {5054, 7778}, {5077, 7617}, {5103, 38230}, {5116, 14994}, {5149, 34473}, {5171, 67859}, {5188, 37334}, {5206, 7770}, {5210, 11286}, {5237, 69138}, {5238, 69146}, {5309, 17008}, {5355, 22329}, {5432, 69174}, {5433, 69260}, {5461, 15597}, {5661, 40879}, {6292, 7807}, {6308, 51827}, {6644, 14767}, {6655, 39565}, {6656, 7749}, {6680, 8362}, {6781, 8370}, {7496, 10130}, {7618, 32817}, {7619, 22110}, {7689, 59556}, {7739, 37667}, {7746, 7791}, {7747, 32992}, {7748, 32832}, {7752, 7873}, {7754, 53096}, {7756, 59635}, {7762, 9698}, {7763, 7854}, {7764, 7767}, {7768, 69197}, {7774, 63939}, {7775, 31489}, {7777, 7811}, {7781, 15815}, {7782, 31276}, {7790, 17004}, {7792, 66417}, {7794, 69418}, {7799, 63044}, {7801, 16990}, {7802, 16921}, {7803, 33258}, {7809, 17005}, {7813, 37671}, {7814, 7929}, {7818, 69413}, {7820, 35297}, {7822, 16925}, {7827, 63047}, {7828, 33021}, {7832, 33259}, {7833, 47617}, {7834, 16043}, {7835, 16986}, {7838, 31406}, {7840, 55801}, {7844, 11287}, {7846, 39784}, {7850, 63021}, {7852, 7857}, {7855, 31457}, {7866, 44535}, {7867, 33233}, {7869, 15720}, {7872, 13881}, {7879, 7888}, {7883, 7925}, {7887, 7935}, {7890, 63929}, {7896, 69158}, {7899, 7928}, {7910, 32966}, {7911, 32967}, {7912, 7936}, {7914, 32954}, {7924, 14061}, {7926, 9939}, {7931, 31168}, {7938, 7940}, {7944, 33245}, {7947, 32027}, {8150, 34870}, {8289, 41134}, {8354, 53419}, {8358, 43291}, {8360, 44381}, {8368, 34573}, {8556, 15301}, {8722, 13860}, {8891, 15246}, {9301, 44422}, {9734, 64653}, {9828, 53736}, {10104, 13334}, {10168, 44380}, {10182, 59706}, {11007, 40544}, {11008, 63949}, {11163, 63942}, {11184, 66455}, {11185, 33008}, {11187, 30747}, {12040, 22165}, {12055, 41622}, {12100, 32459}, {13196, 55695}, {13349, 22687}, {13350, 22689}, {13357, 39603}, {13468, 15048}, {14023, 31400}, {14041, 39601}, {14096, 21444}, {14148, 15598}, {14650, 34227}, {14711, 15602}, {14810, 24256}, {14869, 49112}, {15031, 33256}, {15491, 18907}, {15589, 34511}, {15702, 37690}, {15712, 59545}, {16509, 36523}, {16589, 17684}, {18424, 33017}, {18546, 44526}, {18840, 60323}, {18860, 22712}, {19694, 31268}, {24206, 37459}, {26244, 48860}, {30542, 44558}, {31450, 63934}, {31467, 63932}, {32479, 35955}, {32815, 34504}, {32838, 33023}, {32867, 32982}, {32883, 32980}, {32960, 69209}, {32983, 43618}, {32986, 43620}, {33003, 69430}, {33224, 63121}, {33226, 69385}, {33234, 69141}, {33260, 70210}, {33272, 69407}, {33771, 71593}, {36521, 59780}, {37242, 67872}, {37450, 38737}, {37686, 70524}, {41750, 63018}, {43238, 69181}, {43239, 69187}, {43619, 63957}, {44543, 62203}, {47044, 47047}, {50571, 51186}, {50774, 63633}, {52262, 71185}, {52718, 63533}, {52793, 69097}, {53033, 61820}, {53142, 69453}, {55732, 61814}, {59197, 65767}, {59530, 64027}, {63548, 63924}, {67215, 67551}, {68079, 71187}

X(72111) = midpoint of X(i) and X(j) for these {i,j}: {183, 574}, {5475, 14907}, {8722, 13860}, {17131, 31859}
X(72111) = complement of X(5475)
X(72111) = complement of the isogonal conjugate of X(67310)
X(72111) = X(67310)-complementary conjugate of X(10)
X(72111) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 187, 7804}, {2, 316, 7603}, {2, 7761, 625}, {2, 7771, 187}, {2, 7831, 7853}, {2, 7934, 31275}, {2, 14907, 5475}, {2, 31173, 66511}, {2, 55164, 31173}, {2, 64018, 31415}, {3, 3734, 32456}, {3, 3934, 7816}, {3, 7815, 3934}, {3, 15271, 3734}, {3, 69139, 69171}, {5, 7830, 7842}, {6, 15482, 44562}, {32, 11285, 6683}, {39, 1078, 7780}, {39, 7780, 7805}, {76, 33004, 37512}, {99, 33273, 8589}, {141, 549, 620}, {141, 620, 7880}, {183, 31859, 17131}, {187, 7771, 46893}, {230, 4045, 7817}, {230, 8359, 4045}, {315, 33001, 31455}, {325, 7810, 7848}, {384, 43459, 15513}, {549, 12042, 5092}, {574, 17131, 31859}, {625, 40344, 7761}, {631, 7800, 3788}, {1078, 7824, 39}, {1506, 7750, 7843}, {2896, 7769, 7821}, {3054, 33184, 6722}, {3096, 7907, 7874}, {3526, 7784, 7862}, {3734, 7815, 15271}, {3734, 15271, 3934}, {3734, 32456, 7816}, {3785, 31401, 7759}, {3788, 7800, 7849}, {3934, 32456, 3734}, {4045, 34506, 230}, {5013, 7751, 32450}, {5024, 8667, 7798}, {6292, 7807, 7915}, {6656, 7749, 7886}, {7496, 10130, 30749}, {7746, 7791, 7861}, {7752, 7904, 7873}, {7756, 59635, 63922}, {7763, 7854, 7895}, {7764, 7767, 7882}, {7777, 7811, 7845}, {7786, 7793, 5007}, {7802, 16921, 39590}, {7804, 46893, 187}, {7853, 15810, 7831}, {7857, 7876, 7852}, {7904, 33015, 7752}, {7924, 17006, 14061}, {7928, 16923, 7899}, {8356, 37688, 115}, {8359, 34506, 7817}, {8556, 53095, 69380}, {8589, 9466, 99}, {11287, 37637, 7844}, {15513, 31239, 384}, {15815, 69381, 7781}, {16043, 69207, 7834}, {16986, 33274, 7835}, {16990, 69450, 7801}, {17004, 66414, 7790}, {31276, 33022, 7782}, {31406, 63928, 7838}, {31415, 64018, 63956}, {32027, 62362, 7947}, {32832, 32965, 7748}, {32990, 69423, 3767}, {33017, 53127, 18424}, {33215, 34229, 2549}, {33234, 69412, 69141}, {43619, 69382, 63957}, {47088, 47089, 5026}

X(72112) = 1ST ZHAO CENTER

Points X(72112), X(72113), and X(72114) were contributed by Zhao Chen, March, 2026.

X(72112) lies on these lines: {1, 1581}, {38, 1930}, {39, 40936}, {48, 1917}, {75, 33778}, {244, 17758}, {766, 4161}, {1089, 60090}, {1237, 46183}, {1755, 70346}, {1923, 1964}, {1928, 17149}, {2275, 14620}, {3727, 8619}, {3741, 70396}, {3778, 3953}, {3970, 23414}, {7242, 64133}, {8625, 16689}, {9016, 23629}, {16600, 69105}, {17446, 46238}, {23473, 57015}, {45232, 70358}, {50190, 63497}

X(72112) = X(i)-isoconjugate of X(j) for these (i,j): {2, 52395}, {8, 41284}, {76, 59996}, {82, 3112}, {115, 57545}, {251, 308}, {523, 52936}, {689, 18105}, {733, 56979}, {804, 59026}, {827, 52618}, {1176, 46104}, {1799, 32085}, {4577, 58784}, {4580, 42396}, {4593, 55240}, {4599, 18070}, {10547, 68630}, {14970, 56976}, {17500, 39287}, {18082, 52394}, {18833, 46289}, {30505, 41296}, {40016, 46288}, {40163, 41884}, {40425, 59180}, {52376, 56186}, {52570, 57421}, {56971, 69999}
X(72112) = X(i)-Dao conjugate of X(j) for these (i,j): {39, 18833}, {141, 3112}, {688, 4117}, {826, 23994}, {3124, 18070}, {6665, 561}, {8041, 18053}, {21238, 18093}, {32664, 52395}, {34452, 82}, {40585, 308}, {52042, 1}, {55043, 52618}, {55050, 55240}, {59994, 33764}
X(72112) = crosspoint of X(38) and X(1964)
X(72112) = crosssum of X(i) and X(j) for these (i,j): {1, 33793}, {31, 18042}, {75, 18064}, {82, 3112}, {1109, 18070}, {17277, 32926}
X(72112) = crossdifference of every pair of points on line {18070, 46496}
X(72112) = barycentric product X(i)*X(j) for these {i,j}: {1, 8041}, {31, 7794}, {38, 39}, {41, 41285}, {75, 59994}, {141, 1964}, {163, 2528}, {427, 4020}, {560, 59995}, {662, 57132}, {688, 55239}, {799, 2531}, {1101, 15449}, {1401, 33299}, {1634, 8061}, {1923, 8024}, {1930, 3051}, {1973, 4175}, {2084, 4576}, {2157, 60463}, {2236, 56978}, {2530, 46148}, {3665, 40972}, {3917, 17442}, {3954, 17187}, {4553, 21123}, {4568, 50521}, {16696, 21035}, {16703, 41267}, {16887, 21814}, {17457, 52554}, {20775, 20883}, {24041, 62417}, {37134, 62454}, {46387, 52922}, {61063, 70058}
X(72112) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 52395}, {38, 308}, {39, 3112}, {141, 18833}, {163, 52936}, {560, 59996}, {604, 41284}, {688, 55240}, {1101, 57545}, {1634, 4593}, {1923, 251}, {1930, 40016}, {1964, 83}, {2084, 58784}, {2236, 56979}, {2528, 20948}, {2531, 661}, {3005, 18070}, {3051, 82}, {3954, 56251}, {4020, 1799}, {4175, 40364}, {4576, 37204}, {7794, 561}, {8041, 75}, {8061, 52618}, {15449, 23994}, {17442, 46104}, {17457, 52570}, {20775, 34055}, {20883, 68630}, {21035, 56186}, {21752, 18099}, {21814, 18082}, {33299, 62539}, {41267, 18098}, {41285, 20567}, {41331, 46289}, {50521, 10566}, {52042, 33764}, {55050, 4117}, {55239, 42371}, {56915, 56971}, {56978, 69999}, {57132, 1577}, {59167, 20889}, {59994, 1}, {59995, 1928}, {60463, 20944}, {62417, 1109}
X(72112) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3116, 2085}, {1964, 4020, 1923}

X(72113) = 2ND ZHAO CENTER

X(72113) lies on these lines: {1, 7225}, {7, 18208}, {31, 7194}, {38, 25279}, {87, 244}, {269, 18193}, {982, 3056}, {1086, 18168}, {1106, 5018}, {1111, 20567}, {1253, 17596}, {1254, 4334}, {1357, 7145}, {2310, 3551}, {3020, 41291}, {3662, 7237}, {3865, 7185}, {3942, 18194}, {4000, 18207}, {4118, 48629}, {4475, 17891}, {4859, 71851}, {7175, 18201}, {7211, 33103}, {7289, 8300}, {7321, 20274}, {17124, 39977}, {24207, 24237}, {48632, 68892}

X(72113) = X(38813)-isoconjugate of X(56196)
X(72113) = X(i)-Dao conjugate of X(j) for these (i,j): {3810, 24026}, {41771, 7033}, {41886, 56180}, {52657, 17743}
X(72113) = barycentric product X(i)*X(j) for these {i,j}: {85, 12836}, {982, 3662}, {2185, 41291}, {2275, 33930}, {3020, 4564}, {3056, 69663}, {3061, 7185}, {3705, 41777}, {3721, 33947}, {3776, 3888}, {3777, 33946}, {3794, 16888}, {3865, 7187}, {7237, 65039}
X(72113) = barycentric quotient X(i)/X(j) for these {i,j}: {982, 17743}, {2275, 983}, {3020, 4858}, {3061, 56180}, {3662, 7033}, {3721, 56196}, {3888, 4621}, {7237, 43265}, {7248, 7132}, {12836, 9}, {33947, 38810}, {41291, 6358}, {41777, 56358}
X(72113) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {982, 41777, 7184}, {4475, 48627, 17891}

X(72114) = 3RD ZHAO CENTER

X(72114) lies on these lines: {2, 3665}, {6, 39724}, {7, 6645}, {220, 6646}, {330, 1086}, {394, 26840}, {1111, 5025}, {1329, 59806}, {1358, 26561}, {3020, 12836}, {3061, 3662}, {3314, 16886}, {4056, 11361}, {4366, 17170}, {4389, 16969}, {7855, 70860}, {7876, 17192}, {16720, 16986}, {16781, 17302}, {16932, 39728}, {17118, 39722}, {23989, 41283}, {52085, 70614}

X(72114) = X(i)-Dao conjugate of X(j) for these (i,j): {3810, 1146}, {16584, 56196}, {41771, 17743}, {52657, 983}
X(72114) = barycentric product X(i)*X(j) for these {i,j}: {261, 41291}, {982, 33930}, {2887, 33947}, {3020, 4998}, {3061, 69663}, {3662, 3662}, {3705, 7185}, {3776, 33946}, {6063, 12836}, {16886, 65039}
X(72114) = barycentric quotient X(i)/X(j) for these {i,j}: {982, 983}, {2887, 56196}, {3020, 11}, {3662, 17743}, {3705, 56180}, {7185, 56358}, {12836, 55}, {16886, 43265}, {16888, 70315}, {33930, 7033}, {33946, 4621}, {33947, 40415}, {41291, 12}, {41777, 7132}, {57992, 14124}
X(72114) = {X(3662),X(7185)}-harmonic conjugate of X(7187)

X(72115) = X(2)X(107) ∩ X(3)X(6)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72115) lies on these lines: {2, 107}, {3, 6}, {4, 6389}, {20, 317}, {22, 26880}, {25, 6509}, {30, 36988}, {51, 426}, {64, 46351}, {97, 62188}, {157, 34146}, {184, 13409}, {185, 40947}, {376, 26870}, {394, 71307}, {417, 40981}, {441, 5480}, {458, 44924}, {852, 34417}, {1092, 44716}, {1204, 63531}, {1217, 66552}, {1352, 15526}, {1498, 33582}, {1503, 41005}, {1629, 46717}, {1995, 44436}, {2393, 63419}, {2710, 2713}, {2781, 37813}, {2972, 5651}, {3148, 12294}, {3346, 45301}, {3917, 6641}, {5020, 46831}, {5054, 42830}, {5285, 53819}, {5999, 62698}, {6394, 18906}, {6403, 52279}, {6617, 17810}, {7395, 27373}, {7488, 40681}, {7667, 26905}, {7998, 54375}, {8549, 71308}, {8743, 52734}, {9308, 20792}, {10516, 20208}, {10600, 14790}, {10605, 10608}, {10984, 42441}, {11433, 71232}, {11547, 71231}, {11550, 71200}, {14379, 17928}, {15030, 33926}, {15069, 40995}, {15259, 45188}, {15312, 65809}, {16266, 37081}, {17811, 71193}, {18437, 29012}, {18592, 19544}, {19124, 23635}, {19149, 42671}, {20477, 37200}, {20819, 43652}, {22062, 26897}, {22467, 44073}, {23583, 41371}, {24320, 35072}, {28405, 67854}, {28695, 67859}, {29181, 34828}, {33537, 40675}, {33553, 63610}, {33752, 52584}, {33971, 64781}, {34147, 35259}, {35474, 42329}, {37188, 51212}, {43650, 61378}, {44231, 48901}, {44241, 63440}, {44248, 44882}, {44360, 51687}, {44679, 58735}, {44888, 61743}, {45845, 62097}, {46475, 63848}, {52347, 68018}, {59361, 61091}, {63421, 63431}

X(72115) = midpoint of X(i) and X(j) for these (i, j): {20, 317}, {20477, 37200}
X(72115) = reflection of X(i) in X(j) for these (i, j): (4, 71185), (577, 3)
X(72115) = complement of the Cundy-Parry-Psi-transform of X(44141)
X(72115) = isogonal conjugate of the polar conjugate of X(52251)
X(72115) = perspector of the circumconic through X(110) and X(65265)
X(72115) = pole of the line {512, 68744} with respect to the 1st Brocard circle
X(72115) = pole of the line {2848, 5996} with respect to the orthoptic circle of Steiner inellipse
X(72115) = pole of the line {14618, 68791} with respect to the polar circle
X(72115) = pole of the line {184, 426} with respect to the Jerabek circumhyperbola
X(72115) = pole of the line {2, 68744} with respect to the Stammler hyperbola
X(72115) = pole of the line {31296, 39473} with respect to the Steiner circumellipse
X(72115) = pole of the line {647, 39473} with respect to the Steiner inellipse
X(72115) = pole of the line {76, 68018} with respect to the Steiner-Wallace hyperbola
X(72115) = pole of the line {5651, 68744} with respect to the Thomson-Gibert-Moses hyperbola
X(72115) = barycentric product X(3)*X(52251)
X(72115) = trilinear product X(48)*X(52251)
X(72115) = trilinear quotient X(52251)/X(92)
X(72115) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (3, 6, 68744), (3, 1350, 63433), (22, 46832, 26880)

X(72116) = X(1)X(7) ∩ X(2)X(101)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72116) lies on these lines: {1, 7}, {2, 101}, {3, 6604}, {4, 55082}, {21, 51607}, {36, 71717}, {41, 41785}, {55, 71282}, {69, 956}, {85, 944}, {104, 6183}, {144, 57015}, {145, 69699}, {193, 45751}, {344, 41391}, {348, 1385}, {355, 52422}, {497, 24203}, {515, 40719}, {631, 33298}, {664, 7967}, {954, 25406}, {999, 14548}, {1056, 14828}, {1420, 53597}, {1429, 54366}, {1434, 68663}, {1444, 17524}, {1447, 18391}, {1478, 71720}, {1565, 10246}, {2094, 29574}, {2646, 30617}, {3085, 56928}, {3207, 21258}, {3218, 17316}, {3421, 68928}, {3485, 4911}, {3486, 3673}, {3487, 7247}, {3488, 62697}, {3576, 9436}, {3616, 17181}, {3655, 17079}, {3665, 34471}, {3730, 20111}, {3785, 21281}, {3912, 5744}, {4454, 71437}, {4872, 5603}, {5228, 36698}, {5265, 71845}, {5845, 34522}, {5882, 9312}, {6516, 10269}, {9310, 26101}, {10527, 21285}, {10609, 42697}, {13607, 25716}, {14021, 62799}, {17053, 28089}, {17081, 37618}, {17321, 41004}, {17742, 60970}, {18042, 28753}, {18162, 26130}, {19262, 51893}, {19766, 37093}, {19823, 26626}, {24247, 24333}, {25082, 30616}, {25583, 59691}, {25719, 61296}, {25723, 64952}, {26658, 34847}, {27472, 51058}, {27549, 67385}, {29585, 68759}, {30283, 63152}, {32003, 68545}, {37681, 70853}, {37740, 43037}, {39775, 64324}, {43065, 51190}, {45765, 70627}, {48324, 66516}, {60950, 69284}, {60969, 69223}

X(72116) = reflection of X(56746) in X(55161)
X(72116) = anticomplement of X(56746)
X(72116) = cross-difference of every pair of points on the line X(657)X(65703)
X(72116) = pole of the line {7, 3011} with respect to the circumhyperbola dual of Yff parabola
X(72116) = pole of the line {2328, 14964} with respect to the Stammler hyperbola
X(72116) = pole of the line {4025, 23887} with respect to the Steiner circumellipse
X(72116) = pole of the line {7658, 23887} with respect to the Steiner inellipse
X(72116) = pole of the line {1043, 5082} with respect to the Steiner-Wallace hyperbola
X(72116) = (X(i), X(j))-harmonic conjugate of X(k) for these (i, j, k): (18162, 26130, 27509), (55161, 56746, 2)

X(72117) = X(2)X(109) ∩ X(8)X(9)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72117) lies on these lines: {2, 109}, {8, 9}, {31, 27539}, {104, 24320}, {238, 255}, {281, 4676}, {960, 37516}, {991, 997}, {1617, 54113}, {3452, 63140}, {4264, 27508}, {4858, 24280}, {5273, 69134}, {5328, 37762}, {5698, 69677}, {5704, 15601}, {5846, 34524}, {6776, 15507}, {7290, 40880}, {10571, 25905}, {13742, 20306}, {17126, 28794}, {17127, 27540}, {24349, 60940}, {25005, 26685}, {34852, 64016}, {35261, 50366}, {50295, 56466}, {54348, 68335}

X(72117) = pole of the line {522, 69679} with respect to the Mandart inellipse

X(72118) = X(2)X(98) ∩ X(10)X(37)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72118) lies on these lines: {1, 27688}, {2, 98}, {10, 37}, {115, 3923}, {171, 46828}, {238, 46826}, {442, 29097}, {511, 25978}, {516, 37159}, {1211, 66632}, {1386, 44396}, {3454, 50304}, {3616, 27704}, {5192, 30436}, {5293, 19935}, {5847, 34528}, {7081, 41809}, {10026, 51196}, {16052, 49630}, {16475, 27556}, {16823, 27707}, {17259, 24880}, {17327, 19273}, {17353, 69602}, {17677, 63402}, {20337, 50307}, {20546, 49482}, {24342, 66678}, {25982, 27687}, {27081, 37764}, {32431, 56968}, {33329, 35263}, {50302, 71238}, {50773, 71322}, {52388, 56780}

X(72118) = cross-difference of every pair of points on the line X(3569)X(3733)
X(72118) = perspector of the circumconic through X(2966) and X(3952)
X(72118) = pole of the line {690, 50643} with respect to the orthoptic circle of Steiner inellipse
X(72118) = pole of the line {16230, 17925} with respect to the polar circle
X(72118) = pole of the line {511, 43218} with respect to the Jerabek circumhyperbola
X(72118) = pole of the line {10, 230} with respect to the Kiepert circumhyperbola
X(72118) = pole of the line {511, 593} with respect to the Stammler hyperbola
X(72118) = pole of the line {2799, 31290} with respect to the Steiner circumellipse
X(72118) = pole of the line {661, 2799} with respect to the Steiner inellipse
X(72118) = pole of the line {325, 1509} with respect to the Steiner-Wallace hyperbola
X(72118) = pole of the line {4115, 53344} with respect to the Yff parabola
X(72118) = (X(1), X(27688))-harmonic conjugate of X(51417)

X(72119) = X(3)X(6) ∩ X(5)X(122)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72119) lies on these lines: {2, 47392}, {3, 6}, {4, 44436}, {5, 122}, {30, 6509}, {185, 40948}, {376, 46832}, {381, 46831}, {417, 45186}, {418, 36987}, {1217, 3346}, {2972, 15030}, {3587, 53819}, {6642, 14379}, {6644, 12096}, {9818, 53852}, {10627, 51030}, {12162, 44715}, {13409, 64100}, {13754, 71307}, {14059, 44870}, {14919, 15052}, {15355, 46346}, {26880, 35243}, {33842, 46841}, {34147, 46261}, {37697, 55044}, {38283, 67067}, {44240, 52874}, {46025, 46853}, {57414, 66552}, {63631, 70265}

X(72119) = complement of the Cundy-Parry-Psi-transform of X(62347)
X(72119) = pole of the line {393, 1495} with respect to the Moses circles radical circle
X(72119) = pole of the line {6086, 34964} with respect to the nine-point circle
X(72119) = pole of the line {5, 62337} with respect to the Kiepert circumhyperbola

X(72120) = X(3)X(69) ∩ X(5)X(113)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72120) lies on these lines: {2, 67899}, {3, 69}, {4, 3426}, {5, 113}, {6, 64474}, {30, 1899}, {49, 38728}, {51, 13399}, {54, 43606}, {64, 13488}, {68, 31829}, {74, 12022}, {140, 1181}, {141, 16836}, {154, 37935}, {155, 16196}, {184, 549}, {217, 31406}, {230, 39913}, {235, 6241}, {287, 8369}, {343, 64100}, {378, 11245}, {381, 23291}, {389, 1595}, {403, 67925}, {427, 5890}, {468, 11456}, {495, 26956}, {496, 26955}, {524, 37480}, {542, 8263}, {548, 19467}, {550, 1204}, {567, 5622}, {568, 21850}, {578, 6696}, {631, 6090}, {999, 18922}, {1192, 9833}, {1351, 18919}, {1352, 37475}, {1353, 13352}, {1368, 13754}, {1498, 21841}, {1503, 11438}, {1593, 18916}, {1596, 6000}, {1597, 11433}, {1598, 12324}, {1614, 68720}, {1657, 18945}, {1853, 66728}, {1885, 18912}, {1906, 12290}, {1907, 3567}, {1993, 47090}, {2071, 45968}, {2883, 44960}, {3088, 11432}, {3089, 12315}, {3269, 15048}, {3295, 18915}, {3357, 12241}, {3448, 38323}, {3517, 34781}, {3520, 43903}, {3526, 58378}, {3530, 19357}, {3538, 40911}, {3541, 67896}, {3542, 12174}, {3546, 12164}, {3548, 61607}, {3575, 11457}, {3580, 10938}, {3627, 67903}, {3830, 18918}, {4549, 12163}, {4846, 14852}, {5159, 5654}, {5656, 37643}, {5690, 67919}, {5878, 44226}, {5894, 13403}, {6102, 23335}, {6221, 18923}, {6353, 32063}, {6398, 18924}, {6515, 21312}, {6677, 18451}, {6755, 67895}, {6756, 9786}, {6759, 15448}, {6823, 12359}, {7395, 66729}, {7399, 10574}, {7403, 37481}, {7487, 34780}, {7553, 37490}, {7687, 64587}, {7699, 10937}, {7715, 16655}, {8550, 11430}, {8703, 21663}, {8981, 67907}, {9729, 24206}, {9818, 45298}, {10018, 67879}, {10110, 52102}, {10116, 38726}, {10151, 61701}, {10169, 66722}, {10192, 44673}, {10257, 18445}, {10301, 16658}, {10360, 15934}, {10540, 44211}, {10575, 41587}, {10619, 62069}, {10721, 43806}, {11206, 55572}, {11232, 58871}, {11250, 43588}, {11442, 66614}, {11454, 44285}, {11459, 30739}, {11585, 34783}, {11820, 34621}, {12017, 19119}, {12082, 47582}, {12084, 13292}, {12085, 13142}, {12118, 44247}, {12121, 43616}, {12233, 13382}, {12244, 18560}, {12902, 43807}, {13198, 61548}, {13340, 15073}, {13367, 15712}, {13434, 43902}, {13474, 15873}, {13568, 18381}, {13851, 15687}, {13966, 67908}, {14157, 62978}, {14516, 43601}, {14683, 22467}, {14927, 34726}, {15018, 19348}, {15032, 15106}, {15045, 37439}, {15153, 18376}, {15311, 18390}, {15325, 19354}, {15559, 67924}, {15583, 21851}, {15644, 17710}, {15704, 21659}, {15713, 64064}, {15809, 67923}, {16197, 66608}, {16238, 32139}, {16618, 64098}, {16654, 34417}, {16789, 43273}, {16976, 47391}, {17834, 48873}, {17855, 40928}, {18338, 67227}, {18388, 23332}, {18494, 32064}, {18911, 34664}, {18929, 42116}, {18930, 42115}, {18935, 33878}, {18946, 54202}, {18950, 35450}, {19161, 66604}, {19355, 35255}, {19356, 35256}, {19468, 54201}, {20303, 33332}, {20791, 37636}, {22802, 68547}, {23292, 23329}, {23293, 69288}, {25337, 66716}, {25563, 64026}, {25739, 66725}, {26864, 35486}, {26917, 68906}, {26958, 37942}, {31833, 32140}, {31850, 70270}, {32113, 37487}, {32358, 68681}, {34117, 47457}, {34351, 61752}, {34380, 37483}, {36747, 61624}, {36752, 51732}, {37453, 61606}, {37460, 39874}, {37494, 48874}, {37497, 63722}, {38110, 67898}, {39884, 67237}, {41724, 54040}, {41725, 52003}, {42121, 67910}, {42124, 67909}, {42459, 68740}, {43596, 52293}, {43597, 43895}, {43602, 43608}, {44158, 64049}, {44212, 46261}, {44241, 44665}, {44274, 69612}, {44957, 51403}, {46730, 48898}, {47277, 64067}, {47296, 61747}, {52398, 61044}, {53716, 67229}, {54013, 66607}, {61506, 64471}, {61524, 64040}, {64048, 67885}

X(72120) = midpoint of X(i) and X(j) for these (i, j): {3, 18917}, {1899, 10605}, {6515, 21312}
X(72120) = reflection of X(i) in X(j) for these (i, j): (1596, 13567), (15068, 140), (18451, 6677), (37458, 11438)
X(72120) = pole of the line {526, 52585} with respect to the nine-point circle
X(72120) = pole of the line {9007, 58757} with respect to the polar circle
X(72120) = pole of the line {526, 16270} with respect to the
X(72120) = pole of the line {12022, 44438} with respect to the Hatzipolakis-Lozada hyperbola
X(72120) = pole of the line {30, 3917} with respect to the Jerabek circumhyperbola
X(72120) = pole of the line {3003, 3199} with respect to the Kiepert circumhyperbola
X(72120) = pole of the line {686, 9209} with respect to the orthic inconic
X(72120) = pole of the line {25, 43574} with respect to the Stammler hyperbola
X(72120) = pole of the line {11064, 64471} with respect to the Thomson-Gibert-Moses hyperbola
X(72120) = {X(i), X(j)}-harmonic conjugate of-X(k) for these (i, j, k): (3, 18909, 18914), (3, 18914, 31804), (3, 39899, 66735), (6, 65151, 64474), (64, 39571, 13488), (185, 974, 45956), (185, 67902, 5), (389, 6247, 1595), (1181, 26937, 140), (1204, 6146, 550), (6102, 23335, 31802), (6241, 26879, 235), (9786, 14216, 6756), (10264, 45956, 5), (11433, 67894, 1597), (15030, 37648, 5), (18909, 18931, 6776), (26955, 67906, 496), (26956, 67901, 495), (67922, 71198, 21850)

X(72121) = X(5)X(116) ∩ X(140)X(220)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72121) lies on these lines: {3, 6604}, {5, 116}, {140, 220}, {496, 63601}, {518, 5690}, {631, 20111}, {632, 58458}, {1385, 28849}, {7131, 37612}, {37615, 56098}

X(72121) = midpoint of X(3) and X(6604)
X(72121) = reflection of X(i) in X(j) for these (i, j): (5, 21258), (220, 140)

X(72122) = X(2)X(58982) ∩ X(3258)X(50330)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72122) lies on the nine-point circle and these lines: {2, 58982}, {3258, 50330}, {21253, 44950}, {53575, 53829}

X(72122) = complement of X(58982)
X(72122) = complementary conjugate of the isotomic conjugate of X(65281)
X(72122) = antipode of X(72123) in the nine-point circle

X(72123) = X(125)X(12826) ∩ X(1325)X(3258)

See Dao Thanh Oai and César Lozada, Euclid 9350.

X(72123) lies on the nine-point circle and these lines: {4, 58982}, {123, 52531}, {125, 12826}, {1325, 3258}

X(72123) = midpoint of X(4) and X(58982)
X(72123) = complement of the circumperp conjugate of X(58982)
X(72123) = Poncelet point of X(58982)
X(72123) = center of the circumconic through X(4) and X(58982)
X(72123) = antipode of X(72122) in the nine-point circle

X(72124) = 4TH ZHAO CENTER

X(72124) lies on these lines: {192, 4621}, {8684, 34247}, {17350, 65291}, {17353, 17743 }

X(72124) = isotomic conjugate of X(72114)
X(72124) = X(i)-isoconjugate of X(j) for these (i,j): {6, 72113}, {31, 72114}, {57, 12836}, {982, 2275}, {2149, 3020}, {2150, 41291}, {3056, 41777}, {3061, 7248}, {3662, 7032}, {3863, 7184}, {3865, 71835}, {7185, 20665}, {16584, 33947}, {33946, 50514 }
X(72124) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 72114}, {9, 72113}, {650, 3020}, {5452, 12836}, {56325, 41291 }
X(72124) = barycentric product X(i)*X(j) for these {i,j}: {872, 14124}, {983, 7033}, {17743, 17743}, {40415, 56196}, {56180, 56358 }
X(72124) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 72113}, {2, 72114}, {11, 3020}, {12, 41291}, {55, 12836}, {983, 982}, {4621, 33946}, {7033, 33930}, {7132, 41777}, {14124, 57992}, {17743, 3662}, {40415, 33947}, {43265, 16886}, {56180, 3705}, {56196, 2887}, {56358, 7185}, {70315, 16888 }

X(72125) = 5TH ZHAO CENTER

X(72125) lies on these lines: {38, 25918}, {85, 244}, {614, 1424}, {982, 7187}, {1106, 51651}, {1463, 52541}, {2275, 3116}, {3248, 7121}, {3959, 52633}, {3976, 23414}, {7032, 71834}, {7153, 7207}, {14823, 36294}, {26690, 69105}, {28391, 63994 }

X(72125) = isogonal conjugate of the isotomic conjugate of X(72113)
X(72125) = X(33947)-Ceva conjugate of X(72114)
X(72125) = X(i)-isoconjugate of X(j) for these (i,j): {872, 14124}, {983, 7033}, {40415, 56196}, {56180, 56358 }
X(72125) = X(i)-Dao conjugate of X(j) for these (i,j): {2887, 56196}, {41771, 7034 }
X(72125) = barycentric product X(i)*X(j) for these {i,j}: {6, 72113}, {31, 72114}, {57, 12836}, {982, 2275}, {2149, 3020}, {2150, 41291}, {3056, 41777}, {3061, 7248}, {3662, 7032}, {3863, 7184}, {3865, 71835}, {7185, 20665}, {16584, 33947}, {33946, 50514 }
X(72125) = barycentric quotient X(i)/X(j) for these {i,j}: {1509, 14124}, {2275, 7033}, {3662, 7034}, {7032, 17743}, {12836, 312}, {16584, 56196}, {20665, 56180}, {72113, 76}, {72114, 561 }

X(72126) = 6TH ZHAO CENTER

X(72126) lies on these lines: {1, 40038}, {75, 7243}, {200, 20955}, {1111, 6384}, {3705, 7185}, {3771, 20924}, {5272, 33944}, {16569, 33934}, {29844, 33940 }

X(72126) = isotomic conjugate of the isogonal conjugate of X(72113)
X(72126) = X(i)-Dao conjugate of X(j) for these (i,j): {3810, 2310}, {41771, 983 }
X(72126) = barycentric product X(i)*X(j) for these {i,j}: {75, 72114}, {76, 72113}, {3020, 67038}, {3662, 33930}, {3705, 69663}, {12836, 20567}, {20234, 33947}, {41291, 52379 }
X(72126) = barycentric quotient X(i)/X(j) for these {i,j}: {3020, 2170}, {3662, 983}, {7185, 7132}, {12836, 41}, {20234, 56196}, {33930, 17743}, {41291, 2171}, {65039, 7305}, {69663, 56358}, {72113, 6}, {72114, 1 }

X(72127) = 7TH ZHAO CENTER

X(72127) lies on these lines: {1, 3934}, {2, 37}, {5, 69097}, {6, 4396}, {9, 4465}, {11, 141}, {35, 7815}, {36, 3734}, {39, 3760}, {42, 21022}, {55, 15271}, {56, 69139}, {69, 9599}, {76, 2275}, {83, 7296}, {142, 4871}, {145, 25102}, {172, 7770}, {183, 1914}, {213, 29455}, {239, 40733}, {256, 17306}, {291, 49532}, {310, 27158}, {313, 71947}, {384, 71449}, {385, 5332}, {496, 69095}, {499, 7795}, {609, 7804}, {614, 8891}, {626, 7741}, {672, 4713}, {876, 47833}, {899, 4361}, {1015, 3761}, {1107, 18135}, {1447, 4376}, {1468, 71593}, {1469, 24256}, {1479, 7800}, {1500, 31239}, {1506, 69258}, {1574, 32104}, {1909, 31276}, {2229, 53478}, {2230, 7032}, {2238, 17026}, {2280, 71592}, {2307, 69146}, {2309, 15668}, {3240, 4852}, {3583, 7761}, {3617, 25107}, {3622, 24656}, {3661, 20333}, {3662, 30997}, {3673, 16720}, {3679, 27076}, {3729, 20331}, {3741, 24386}, {3759, 17029}, {3765, 31026}, {3783, 49459}, {3789, 17793}, {3815, 69093}, {3817, 3840}, {3834, 10129}, {3930, 30850}, {4253, 4721}, {4366, 10987}, {4379, 21143}, {4384, 17475}, {4400, 16502}, {4413, 20181}, {4426, 17541}, {4445, 31136}, {4648, 21299}, {4851, 17721}, {4869, 30948}, {4876, 17284}, {4885, 36848}, {5010, 72111}, {5280, 7808}, {5299, 7751}, {5432, 58446}, {5433, 7789}, {6292, 69259}, {6376, 26801}, {6381, 16975}, {6384, 39746}, {6683, 69255}, {7031, 7780}, {7127, 69166}, {7200, 20925}, {7280, 7816}, {7355, 59530}, {7746, 30104}, {7784, 10896}, {7786, 25264}, {7822, 30103}, {7830, 65134}, {7842, 18514}, {7854, 9665}, {7862, 65141}, {7865, 65127}, {7951, 69174}, {8299, 9746}, {8362, 69096}, {9596, 32968}, {9597, 69378}, {9598, 16043}, {9817, 14767}, {11680, 20541}, {16604, 34284}, {16696, 70146}, {16818, 71483}, {16832, 25427}, {16920, 71493}, {16997, 20179}, {17001, 71490}, {17027, 37678}, {17028, 17277}, {17030, 18140}, {17031, 70713}, {17032, 71599}, {17045, 17602}, {17046, 36561}, {17050, 46827}, {17128, 71446}, {17129, 71445}, {17143, 27091}, {17144, 26752}, {17151, 44418}, {17174, 30965}, {17202, 30966}, {17234, 30967}, {17239, 64361}, {17290, 19945}, {17292, 19973}, {17296, 31137}, {17327, 30970}, {17738, 69239}, {17750, 29438}, {17754, 24330}, {17794, 49501}, {18144, 62234}, {18840, 47743}, {19847, 24790}, {19864, 71484}, {19950, 29637}, {19998, 59715}, {20347, 24691}, {20943, 21226}, {20963, 29748}, {21021, 39731}, {21025, 30036}, {21211, 47779}, {21677, 59703}, {24514, 37686}, {24592, 37673}, {24688, 69975}, {24690, 30946}, {25109, 46933}, {25115, 59295}, {25130, 46934}, {25502, 31312}, {26094, 26978}, {26561, 59635}, {26629, 37688}, {26815, 63509}, {26987, 27162}, {27164, 62709}, {28597, 28634}, {29611, 41527}, {29759, 71461}, {30869, 51058}, {30949, 30957}, {30954, 30980}, {31330, 31337}, {31402, 32957}, {32020, 52611}, {32931, 49481}, {32941, 52908}, {32943, 36488}, {32945, 36485}, {32992, 69135}, {34587, 71703}, {34595, 36812}, {35043, 40552}, {37720, 69260}, {40332, 71830}, {49448, 71700}, {49502, 71790}, {52655, 60707}, {59319, 69171}, {59570, 70152}, {64093, 69098}, {64133, 68973}, {68990, 71997}, {69138, 71157}, {69501, 70809}

X(72127) = complement of X(17756)
X(72127) = X(9067)-complementary conjugate of X(3835)
X(72127) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 350, 2276}, {2, 4441, 1575}, {2, 30998, 350}, {2, 41144, 71702}, {76, 26959, 2275}, {385, 71448, 5332}, {1015, 9466, 3761}, {3840, 20335, 30945}, {3934, 69256, 1}, {6381, 16975, 71883}, {16502, 69381, 4400}, {20530, 21264, 2}, {29748, 71623, 20963}

X(72128) = 8TH ZHAO CENTER

X(72128) lies on these lines: {1, 3934}, {2, 330}, {5, 69095}, {6, 4400}, {8, 21264}, {10, 2140}, {12, 141}, {35, 3734}, {36, 7815}, {37, 18135}, {39, 3761}, {55, 69139}, {56, 15271}, {69, 9596}, {75, 21021}, {76, 2276}, {83, 5332}, {85, 16720}, {172, 183}, {213, 71623}, {257, 18055}, {274, 27091}, {291, 1698}, {350, 31276}, {385, 7296}, {495, 69097}, {498, 7795}, {609, 7780}, {612, 8891}, {620, 65142}, {626, 7951}, {668, 17030}, {748, 70960}, {1015, 31239}, {1334, 4713}, {1432, 5219}, {1478, 7800}, {1500, 3760}, {1506, 69261}, {1574, 32092}, {1575, 34284}, {1655, 20943}, {1914, 7770}, {2307, 69159}, {2345, 10030}, {2476, 20541}, {3056, 24256}, {3061, 30869}, {3212, 5226}, {3214, 4361}, {3329, 71445}, {3501, 24330}, {3585, 7761}, {3596, 25538}, {3616, 20530}, {3661, 16886}, {3673, 24326}, {3730, 4721}, {3739, 5772}, {3780, 17026}, {3815, 69094}, {3831, 30945}, {3926, 31497}, {3933, 31460}, {4000, 59299}, {4363, 52896}, {4372, 7081}, {4385, 70996}, {4386, 17686}, {4396, 54416}, {4426, 37670}, {4441, 20691}, {4657, 26100}, {4687, 18073}, {4692, 24786}, {4699, 27106}, {4754, 17754}, {4950, 37717}, {5010, 7816}, {5280, 7751}, {5283, 6381}, {5299, 7808}, {5432, 7789}, {5433, 58446}, {5550, 25130}, {6285, 59530}, {6292, 69175}, {6645, 71449}, {6683, 69257}, {6706, 30748}, {7031, 7804}, {7127, 69138}, {7200, 25918}, {7280, 72111}, {7741, 69260}, {7746, 30103}, {7784, 10895}, {7786, 71413}, {7794, 31476}, {7801, 31501}, {7822, 30104}, {7824, 71446}, {7830, 10483}, {7842, 18513}, {7854, 9650}, {8164, 18840}, {8362, 69098}, {9597, 16043}, {9598, 69378}, {9599, 32968}, {14767, 19372}, {16831, 30819}, {16971, 29748}, {16974, 26247}, {16992, 26687}, {17033, 37678}, {17130, 31451}, {17228, 21057}, {17245, 71950}, {17259, 20459}, {17278, 25610}, {17279, 27040}, {17303, 27026}, {17358, 27265}, {17738, 69237}, {17750, 69869}, {17759, 70260}, {18044, 27042}, {18140, 27255}, {18145, 32102}, {19804, 26048}, {19877, 25109}, {19951, 25753}, {20255, 30949}, {20284, 60707}, {20486, 31330}, {20963, 29455}, {21025, 29966}, {24524, 26801}, {24652, 26094}, {24654, 26093}, {25115, 26038}, {25590, 44418}, {25591, 59512}, {25599, 48840}, {26030, 26978}, {26132, 31993}, {26590, 59635}, {26686, 37688}, {26959, 63493}, {27191, 44353}, {27299, 70944}, {27351, 31238}, {27918, 39731}, {28634, 59715}, {29579, 30818}, {29825, 69013}, {30850, 39244}, {31053, 70968}, {31402, 69377}, {31448, 69380}, {31461, 69448}, {32104, 52959}, {32834, 69795}, {32992, 69254}, {33930, 71831}, {36812, 64850}, {37632, 41240}, {37719, 69174}, {40332, 71833}, {46951, 68855}, {52793, 59545}, {59325, 69171}, {60737, 68769}, {64093, 69096}, {68522, 71448}, {68928, 70421}, {69166, 71157}, {71702, 71976}

X(72128) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 1909, 2275}, {76, 27020, 2276}, {274, 69501, 27091}, {1500, 9466, 3760}, {3739, 25107, 9780}, {3934, 69136, 1}, {20530, 24656, 3616}, {21264, 25102, 8}, {26100, 26115, 4657}, {26959, 64133, 63493}, {27040, 28742, 17279}, {54416, 69381, 4396}

X(72129) = 9TH ZHAO CENTER

X(72129) lies on these lines: {1, 538}, {2, 32107}, {3, 4396}, {6, 56024}, {8, 536}, {12, 63923}, {35, 7751}, {36, 7781}, {37, 34284}, {39, 3760}, {55, 4400}, {69, 9598}, {75, 1655}, {76, 2276}, {141, 70157}, {172, 1975}, {190, 17033}, {192, 1909}, {194, 350}, {213, 71622}, {304, 4037}, {312, 16720}, {330, 20105}, {384, 7296}, {386, 4721}, {498, 63955}, {499, 34511}, {524, 6284}, {525, 7352}, {527, 67976}, {543, 10483}, {609, 7816}, {614, 19568}, {698, 1469}, {716, 49452}, {732, 3056}, {748, 70957}, {754, 65134}, {978, 4465}, {980, 4044}, {1086, 29966}, {1107, 4441}, {1125, 71702}, {1193, 4713}, {1266, 30030}, {1278, 41838}, {1334, 17262}, {1479, 7758}, {1500, 3761}, {1573, 32104}, {1575, 18135}, {1914, 7754}, {2230, 41268}, {2277, 28660}, {2295, 3729}, {3175, 17316}, {3208, 55998}, {3210, 3975}, {3583, 7759}, {3624, 71878}, {3632, 71879}, {3633, 33908}, {3644, 24524}, {3663, 71487}, {3666, 70500}, {3673, 70996}, {3691, 4361}, {3721, 49518}, {3734, 5280}, {3752, 28809}, {3765, 17147}, {3779, 64871}, {3780, 3875}, {3797, 33930}, {3868, 68870}, {3933, 69096}, {3978, 20284}, {4000, 27523}, {4039, 32934}, {4302, 14023}, {4324, 63935}, {4330, 63934}, {4363, 59305}, {4364, 31339}, {4366, 71445}, {4376, 7283}, {4385, 24326}, {4479, 26801}, {4517, 32925}, {4657, 26035}, {4659, 59311}, {4681, 24656}, {4788, 21219}, {4799, 24851}, {4968, 24357}, {5010, 7780}, {5204, 8716}, {5217, 8667}, {5254, 69093}, {5283, 20888}, {5299, 7798}, {5308, 35652}, {5309, 30104}, {5332, 7760}, {5433, 59546}, {6309, 10079}, {6376, 17759}, {6542, 32859}, {7031, 7805}, {7200, 18156}, {7230, 71069}, {7741, 7764}, {7757, 26959}, {7765, 69258}, {7783, 71449}, {7801, 30103}, {7813, 69259}, {7839, 71448}, {7843, 18514}, {7855, 9664}, {7951, 63924}, {9596, 69378}, {9766, 10896}, {9902, 49445}, {10449, 24690}, {10895, 34505}, {11055, 68973}, {12953, 63932}, {13468, 52793}, {15048, 69097}, {15338, 63928}, {16502, 22253}, {16589, 32092}, {16818, 48864}, {17026, 71901}, {17030, 69528}, {17131, 31451}, {17137, 17276}, {17144, 21226}, {17148, 70121}, {17224, 57288}, {17279, 26978}, {17301, 26965}, {17314, 36854}, {17489, 69052}, {17739, 69237}, {18145, 27091}, {18513, 63922}, {18990, 52229}, {19858, 50179}, {20271, 69015}, {20943, 26752}, {21071, 24214}, {21422, 53510}, {22036, 71437}, {24514, 33296}, {25599, 71483}, {26590, 69415}, {26686, 32820}, {27248, 48838}, {27255, 32026}, {27269, 60706}, {29433, 71896}, {29742, 71904}, {30092, 62214}, {31028, 33947}, {31402, 52713}, {31448, 69381}, {31460, 64093}, {31497, 32828}, {31997, 40908}, {32450, 69256}, {32830, 69795}, {32836, 68855}, {32933, 41233}, {33946, 71501}, {40858, 52655}, {41312, 50155}, {41747, 71833}, {46937, 70997}, {47286, 69135}, {50067, 50153}, {50068, 50154}, {54416, 69380}, {63493, 71413}, {63954, 64951}, {69095, 69439}

X(72129) = reflection of X(i) in X(j) for these {i,j}: {1, 69255}, {3632, 71879}
X(72129) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {55, 63933, 4400}, {76, 25264, 2276}, {192, 20081, 1909}, {194, 350, 2275}, {3875, 56025, 3780}, {21071, 24214, 30945}

X(72130) = X(1)X(190)∩X(100)X(101)

X(72130) lies on these lines: {1, 190}, {99, 70115}, {100, 101}, {514, 53360}, {660, 48352}, {663, 32094}, {1016, 4040}, {1019, 9266}, {1027, 4482}, {1083, 54333}, {4449, 32106}, {4553, 6161}, {4568, 14432}, {4724, 6633}, {4794, 53582}, {6631, 47970}, {24203, 25531}, {29066, 42722}, {32028, 48282}

X(72130) = crossdifference of every pair of points on line {244, 3768}
X(72130) = barycentric product X(i)*X(j) for these {i,j}: {100, 57038}, {190, 16482}
X(72130) = barycentric quotient X(i)/X(j) for these {i,j}: {16482, 514}, {57038, 693}
X(72130) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1018, 68816, 100}, {4794, 53582, 71815}

X(72131) = X(1)X(190)∩X(6)X(70116)

X(72131) lies on these lines: {1, 190}, {6, 70116}, {44, 29824}, {100, 69503}, {513, 71584}, {765, 4600}, {894, 4068}, {897, 60684}, {902, 70123}, {3722, 69975}, {4422, 72015}, {4670, 4689}, {4702, 62401}, {8299, 24487}, {17335, 30942}, {17350, 64561}, {18082, 67984}, {68760, 71673}, {70839, 71415}

X(72131) = {X(1),X(190)}-harmonic conjugate of X(41683)

X(72132) = X(1)X(190)∩X(10)X(514)

X(72132) lies on these lines: {1, 190}, {2, 19943}, {8, 39349}, {10, 514}, {726, 2087}, {740, 71846}, {984, 71426}, {1698, 52755}, {2275, 16600}, {3675, 4871}, {3836, 4089}, {3842, 70817}, {17793, 24496}, {20072, 69575}, {21226, 25263}, {24255, 33120}, {24428, 32028}, {68873, 71790}, {70371, 71849}, {71750, 71847}

X(72132) = crossdifference of every pair of points on line {1914, 3768}
X(72132) = {X(71428),X(71755)}-harmonic conjugate of X(70822)

X(72133) = X(1)X(190)∩X(523)X(661)

X(72133) lies on these lines: {1, 190}, {10, 2643}, {523, 661}, {1089, 4033}, {2292, 3122}, {3159, 21100}, {3878, 25048}, {4665, 69252}, {4892, 35550}, {20653, 21043}, {21047, 27714}, {21081, 21089}, {21829, 42713}, {24076, 53559}, {24931, 24957}, {35103, 68887}, {68871, 68990}, {68955, 71092}

X(72133) = reflection of X(68990) in X(68871)
X(72133) = X(i)-isoconjugate of X(j) for these (i,j): {81, 35107}, {1333, 35155}
X(72133) = X(i)-Dao conjugate of X(j) for these (i,j): {37, 35155}, {35089, 86}, {40586, 35107}
X(72133) = crossdifference of every pair of points on line {58, 3768}
X(72133) = barycentric product X(i)*X(j) for these {i,j}: {10, 35103}, {313, 5163}, {321, 68887}, {3952, 72099}, {4062, 46799}
X(72133) = barycentric quotient X(i)/X(j) for these {i,j}: {10, 35155}, {42, 35107}, {5163, 58}, {35103, 86}, {68887, 81}, {72099, 7192}
X(72133) = {X(4053),X(69569)}-harmonic conjugate of X(57040)

X(72134) = X(1)X(190)∩X(106)X(57018)

X(72134) lies on these lines: {1, 190}, {106, 57018}, {244, 47776}, {812, 1015}, {891, 64523}, {4366, 71783}, {4422, 33908}, {4473, 9263}, {6084, 21208}, {7208, 57041}, {17755, 70679}, {24404, 63493}, {28890, 71532}, {38979, 47775}, {46914, 57030}, {62635, 64237}, {64862, 70694}

X(72134) = crossdifference of every pair of points on line {3768, 4557}

X(72135) = X(1)X(190)∩X(10)X(23823)

X(72135) lies on these lines: {1, 190}, {10, 23823}, {44, 68958}, {291, 24517}, {513, 4380}, {3952, 69503}, {3994, 30939}, {16482, 17154}, {16726, 52875}, {17335, 36263}, {17794, 24487}, {18827, 56126}, {23343, 71783}, {24004, 68873}, {32927, 70123}, {41847, 70877}

X(72135) = reflection of X(71865) in X(71862)
X(72135) = crossdifference of every pair of points on line {3768, 20963}
X(72135) = {X(71862),X(71865)}-harmonic conjugate of X(36872)

X(72136) = X(1)X(25994)∩X(6)X(17743)

X(72136) lies on these lines: {1, 25994}, {6, 17743}, {32, 33908}, {55, 21226}, {56, 9263}, {145, 10405}, {183, 17448}, {194, 3913}, {220, 10027}, {239, 16284}, {257, 3242}, {330, 1376}, {385, 12513}, {514, 71804}, {519, 7754}, {529, 20065}, {537, 72102}, {664, 28110}, {668, 16502}, {1001, 41838}, {1655, 3303}, {1697, 49514}, {1909, 20172}, {1975, 69243}, {1999, 20921}, {2241, 71879}, {3052, 71665}, {3212, 32029}, {3304, 16997}, {4361, 20955}, {4366, 21219}, {4421, 7783}, {4738, 71775}, {5275, 25303}, {5687, 71413}, {6376, 16781}, {6392, 64068}, {7208, 71776}, {7774, 12607}, {7785, 11236}, {7793, 11194}, {8715, 31859}, {11174, 25102}, {11321, 70544}, {16999, 31999}, {17001, 62837}, {17144, 63933}, {24514, 37542}, {25278, 33854}, {25296, 63075}, {27830, 71146}, {33821, 71965}, {33830, 70480}, {37588, 56025}, {37674, 71462}, {48832, 71131}, {56044, 68589}, {59717, 71523}, {64133, 70550}, {69003, 70248}

X(72136) = reflection of X(1975) in X(69243)
X(72136) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {668, 16502, 26687}, {1909, 70532, 20172}

X(72137) = X(3)X(24524)∩X(8)X(17206)

X(72137) lies on these lines: {3, 24524}, {8, 17206}, {32, 33908}, {56, 668}, {76, 12513}, {99, 3913}, {183, 8666}, {218, 18047}, {304, 9369}, {315, 529}, {404, 25278}, {405, 25303}, {474, 25280}, {514, 71803}, {519, 1975}, {537, 72104}, {952, 71058}, {956, 1909}, {958, 64133}, {996, 16887}, {999, 6376}, {1003, 69243}, {1015, 26687}, {1078, 11194}, {2242, 71879}, {3304, 18140}, {3436, 69254}, {3761, 5288}, {3785, 34610}, {3813, 11185}, {4188, 25296}, {4191, 25286}, {4253, 4482}, {4421, 7782}, {4479, 69448}, {4737, 71067}, {4738, 71776}, {5021, 17752}, {5030, 29697}, {5120, 17786}, {5258, 16992}, {5687, 71446}, {6337, 34619}, {6381, 62825}, {6645, 70550}, {7176, 70248}, {7208, 71775}, {7223, 33933}, {7373, 30963}, {7752, 11236}, {7763, 12607}, {7770, 17448}, {9263, 16502}, {9708, 31997}, {10027, 14974}, {11235, 70210}, {11285, 25102}, {11329, 25298}, {12943, 71856}, {14377, 57038}, {16059, 25287}, {16918, 31999}, {17144, 69380}, {17541, 63499}, {18135, 62837}, {20691, 31859}, {21226, 54416}, {21290, 71845}, {24656, 33036}, {27255, 31490}, {28961, 70092}, {32049, 69038}, {32815, 64068}, {33938, 71073}, {34605, 69670}, {34625, 69378}, {36854, 69044}, {45287, 69737}, {45700, 59635}, {45701, 69418}, {48801, 71048}, {49779, 71072}, {56025, 56530}, {59717, 71522}, {64123, 69450}, {69263, 71965}

X(72137) = {X(10027),X(71665)}-harmonic conjugate of X(14974)

X(72138) = X(8)X(348)∩X(69)X(12513)

X(72138) lies on these lines: {8, 348}, {69, 12513}, {75, 7185}, {76, 3813}, {141, 17448}, {145, 69093}, {274, 9710}, {315, 529}, {325, 12607}, {330, 26582}, {496, 6381}, {514, 71805}, {519, 3933}, {528, 1975}, {626, 33908}, {668, 1329}, {1222, 56928}, {1565, 33937}, {1909, 2886}, {3057, 70091}, {3061, 4437}, {3550, 59538}, {3705, 16284}, {3717, 59504}, {3761, 24390}, {3785, 11194}, {3815, 25102}, {3816, 6376}, {3826, 31997}, {3829, 59635}, {3905, 9053}, {3912, 40133}, {3913, 3926}, {3932, 18156}, {4421, 6337}, {4737, 17181}, {4872, 9369}, {5088, 5100}, {5434, 69670}, {5855, 71058}, {6049, 32099}, {6390, 8715}, {7176, 32850}, {7354, 20553}, {7763, 64123}, {7767, 8666}, {7789, 69243}, {9263, 26561}, {9711, 25280}, {11235, 69378}, {11236, 32816}, {12632, 32840}, {16784, 17540}, {16975, 69095}, {17144, 69415}, {17671, 71965}, {17747, 56025}, {17762, 35960}, {18135, 37722}, {20436, 35517}, {21031, 25278}, {21226, 26590}, {21258, 49774}, {24387, 64093}, {25066, 49773}, {25303, 37664}, {25466, 64133}, {30036, 51384}, {30701, 62390}, {31466, 69136}, {32104, 64200}, {32818, 34619}, {32826, 34706}, {32830, 64068}, {34607, 69425}, {34625, 69377}, {40997, 71753}, {45700, 69381}, {45701, 69158}, {49524, 59509}, {69097, 71975}, {69260, 71879}

X(72138) = reflection of X(69243) in X(7789)
X(72138) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {325, 24524, 12607}, {668, 69254, 1329}

X(72139) = X(5)X(17448)∩X(32)X(529)

X(72139) lies on these lines: {5, 17448}, {8, 69098}, {11, 71975}, {12, 16975}, {30, 69243}, {32, 529}, {39, 12607}, {115, 3813}, {145, 69096}, {230, 8666}, {355, 16973}, {388, 70550}, {495, 1107}, {514, 71806}, {519, 5254}, {528, 7748}, {574, 64123}, {626, 33908}, {668, 26561}, {1015, 1329}, {1478, 70532}, {1573, 25466}, {2241, 57288}, {2275, 17757}, {2548, 11236}, {2549, 3913}, {2886, 69175}, {3085, 31449}, {3436, 16502}, {3632, 21956}, {3767, 12513}, {3780, 64172}, {3782, 69244}, {3820, 16604}, {3829, 39565}, {4187, 63493}, {4193, 63499}, {4386, 18990}, {5013, 45701}, {5252, 69283}, {5261, 31405}, {5270, 70544}, {5277, 5434}, {5283, 15888}, {5687, 9597}, {5690, 69246}, {6656, 24524}, {6690, 31456}, {7738, 34619}, {8256, 69247}, {8362, 25102}, {8715, 63548}, {9263, 69254}, {9620, 32049}, {10198, 31490}, {10528, 31448}, {10987, 57002}, {11194, 69207}, {13881, 45700}, {15048, 20691}, {16552, 24222}, {17144, 47286}, {17362, 36974}, {17670, 25280}, {17768, 69232}, {20060, 69210}, {21226, 69135}, {21616, 62370}, {24387, 63534}, {25278, 33840}, {25298, 37096}, {26482, 43039}, {26558, 64133}, {31429, 51784}, {31469, 37661}, {31999, 33046}, {33061, 38247}, {33854, 56880}, {34606, 69212}, {43448, 64068}, {69174, 71879}

X(72139) = {X(12),X(16975)}-harmonic conjugate of X(31466)

X(72140) = X(75)X(244)∩X(514)X(661)

X(72140) lies on these lines: {38, 59518}, {75, 244}, {335, 4671}, {514, 661}, {519, 62627}, {537, 41314}, {668, 35962}, {1646, 70701}, {3121, 40562}, {3720, 59523}, {3722, 69896}, {3840, 20889}, {3994, 62234}, {4871, 35543}, {14439, 72063}, {20345, 24709}, {24003, 53363}, {24589, 62553}, {33908, 36847}, {36791, 71770}, {41318, 62867}, {42056, 71897}

X(72140) = midpoint of X(41314) and X(71890)
X(72140) = isotomic conjugate of the isogonal conjugate of X(71862)
X(72140) = X(6)-isoconjugate of X(59053)
X(72140) = X(i)-Dao conjugate of X(j) for these (i,j): {9, 59053}, {33908, 71862}, {52882, 46801}
X(72140) = barycentric product X(i)*X(j) for these {i,j}: {75, 33908}, {76, 71862}, {514, 66535}, {668, 71877}, {1978, 14474}, {6381, 46796}, {31002, 36847}
X(72140) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 59053}, {6381, 46801}, {14474, 649}, {33908, 1}, {36847, 899}, {46796, 37129}, {66535, 190}, {71862, 6}, {71877, 513}
X(72140) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 18149, 31002}, {75, 31002, 244}, {1978, 18149, 244}, {1978, 31002, 75}

X(72141) = X(2)X(668)∩X(10)X(63508)

X(72141) lies on these lines: {2, 668}, {10, 63508}, {42, 16604}, {274, 26815}, {1125, 23632}, {1574, 20011}, {2229, 3720}, {2296, 28367}, {4184, 68893}, {7109, 68950}, {9336, 59312}, {16606, 30950}, {17140, 21827}, {17448, 59306}, {17474, 28247}, {21327, 24325}, {21753, 49997}, {25303, 27035}, {25501, 69511}, {26037, 63509}, {31330, 63493}, {39798, 60724}, {49749, 57039}

X(72141) = complement of X(71892)

X(72142) = X(37)X(24165)∩X(75)X(244)

X(72142) lies on these lines: {37, 24165}, {75, 244}, {354, 22316}, {537, 40607}, {596, 3842}, {714, 3739}, {726, 4698}, {740, 24176}, {744, 58624}, {872, 17140}, {984, 6533}, {1215, 64556}, {1269, 68942}, {2667, 17495}, {3248, 16710}, {3666, 58396}, {3752, 43224}, {4022, 4359}, {4687, 17155}, {4688, 42027}, {4726, 59716}, {4751, 17157}, {7263, 53564}, {13476, 42053}, {15569, 67983}, {17063, 70852}, {17065, 24688}, {17463, 23944}, {19804, 69624}, {20913, 21238}, {21080, 31238}, {21197, 64866}, {22174, 39995}, {24325, 64431}, {30982, 46838}, {42039, 72048}, {42055, 64581}, {46843, 53478}, {58572, 58583}, {63520, 69635}

X(72142) = midpoint of X(i) and X(j) for these {i,j}: {596, 3842}, {4726, 59716}, {15569, 67983}
X(72142) = X(42328)-complementary conjugate of X(21245)

X(72143) = X(11)X(16604)∩X(244)X(17046)

X(72143) lies on these lines: {11, 16604}, {244, 17046}, {377, 11269}, {379, 24892}, {442, 23536}, {614, 37445}, {2886, 23682}, {2887, 20913}, {3120, 4920}, {3741, 37096}, {3840, 50319}, {3846, 70943}, {4202, 30970}, {4968, 69252}, {17140, 26589}, {17672, 30950}, {17686, 29631}, {17889, 18208}, {19281, 29635}, {20432, 48643}, {25760, 34284}, {30942, 33840}, {32919, 69670}, {33138, 50200}, {33140, 37233}

X(72144) = X(2)X(668)∩X(6)X(70436)

X(72144) lies on these lines: {2, 668}, {6, 70436}, {38, 21893}, {42, 4161}, {43, 2229}, {899, 2350}, {1575, 16671}, {1646, 42055}, {3121, 59511}, {3720, 63481}, {4090, 8620}, {4871, 63508}, {6375, 71456}, {6377, 17165}, {6378, 25277}, {6685, 69511}, {20286, 32937}, {21327, 32931}, {21902, 46904}, {23447, 26030}, {24524, 27105}, {24528, 30942}, {26974, 30955}, {30957, 63509}, {30964, 41840}, {69067, 71479}

X(72144) = crossdifference of every pair of points on line {890, 50524}

X(72145) = X(1)X(70437)∩X(75)X(244)

X(72145) lies on these lines: {1, 70437}, {37, 6375}, {75, 244}, {141, 21100}, {192, 714}, {536, 13476}, {700, 49528}, {726, 3635}, {740, 66022}, {1964, 71420}, {3123, 18040}, {3264, 22172}, {3596, 68942}, {3644, 17157}, {3672, 71837}, {3963, 24688}, {3993, 64873}, {4419, 71838}, {4443, 28593}, {4664, 71630}, {4681, 21080}, {4726, 24165}, {4764, 17155}, {4941, 18144}, {8610, 59562}, {17334, 68873}, {17340, 70402}, {17388, 70401}, {21746, 71138}, {21806, 32925}, {22278, 22316}, {24338, 44139}, {24456, 30473}, {24458, 69014}, {26764, 46905}, {28555, 58609}, {34832, 59519}, {39798, 59668}, {49456, 71468}, {70702, 71502}

X(72145) = midpoint of X(3644) and X(17157)
X(72145) = reflection of X(i) in X(j) for these {i,j}: {37, 59716}, {21080, 4681}
X(72145) = {X(75),X(41683)}-harmonic conjugate of X(21330)

X(72146) = X(69)X(56530)∩X(75)X(17046)

X(72146) lies on these lines: {69, 56530}, {75, 17046}, {141, 57037}, {306, 26579}, {3208, 51612}, {3663, 26590}, {3687, 25091}, {3708, 18697}, {3729, 41010}, {4357, 69095}, {17760, 41007}, {17786, 21244}, {17787, 26012}, {20258, 69254}, {25964, 49774}, {26176, 71420}, {41003, 71436}, {53596, 70090}

X(72147) = X(1)X(2229)∩X(2)X(668)

X(72147) lies on these lines: {1, 2229}, {2, 668}, {37, 31161}, {39, 29822}, {42, 1100}, {330, 30964}, {513, 69480}, {899, 3780}, {1125, 69511}, {1574, 19998}, {1909, 30955}, {2241, 11322}, {2296, 27434}, {3121, 24325}, {3720, 16606}, {3741, 63508}, {8620, 49479}, {9336, 29827}, {16355, 31490}, {16405, 16781}, {17165, 21827}, {17448, 30970}, {18905, 29685}, {21226, 62709}, {21327, 32771}, {21868, 49983}, {23632, 43223}, {24330, 57023}, {24528, 26037}, {28600, 70932}, {30942, 63493}, {31136, 56158}, {31330, 63509}, {49471, 52893}, {49997, 71880}, {69067, 71478}, {69257, 70146}

X(72147) = complement of X(71897)
X(72147) = crossdifference of every pair of points on line {890, 4063}

X(72148) = X(2)X(714)∩X(37)X(39)

X(72148) lies on these lines: {2, 714}, {6, 70955}, {10, 59519}, {37, 39}, {75, 244}, {76, 68942}, {354, 64869}, {536, 3742}, {537, 10176}, {700, 27478}, {740, 5883}, {966, 71838}, {1269, 22172}, {2667, 64161}, {3122, 20913}, {3739, 42027}, {3971, 4755}, {4022, 46909}, {4377, 20340}, {4446, 28593}, {4664, 17155}, {4665, 21100}, {4686, 59716}, {4687, 17157}, {4698, 21080}, {4871, 56125}, {5836, 22316}, {10479, 24174}, {16710, 71432}, {17065, 21238}, {17330, 68873}, {17337, 70402}, {17392, 70401}, {18133, 22174}, {24259, 39688}, {24327, 69016}, {24621, 24696}, {24662, 64071}, {28484, 58620}, {29824, 71604}, {29827, 56128}, {30982, 57039}, {31238, 59565}, {31339, 69624}, {32925, 51488}, {46904, 69519}, {49462, 67983}, {49471, 69558}, {50094, 59717}, {50111, 68895}, {69976, 71872}

X(72148) = midpoint of X(4664) and X(17155)
X(72148) = reflection of X(3971) in X(4755)
X(72148) = {X(3122),X(20913)}-harmonic conjugate of X(24688)

X(72149) = X(7)X(4766)∩X(75)X(17046)

X(72149) lies on these lines: {7, 4766}, {75, 17046}, {141, 28244}, {2887, 17065}, {3290, 4357}, {3836, 24923}, {3912, 18635}, {11679, 18634}, {17189, 30103}, {18698, 63817}, {20917, 21244}, {25364, 40941}, {25964, 69094}, {34282, 71761}

X(72150) = X(2)X(668)∩X(6)X(43)

X(72150) lies on these lines: {2, 668}, {6, 43}, {42, 4116}, {899, 1475}, {984, 21893}, {1107, 29825}, {1908, 3758}, {2229, 3240}, {2241, 35992}, {2276, 50115}, {3121, 32931}, {3161, 21838}, {3741, 24528}, {3840, 63509}, {4263, 17756}, {4266, 20331}, {4429, 16592}, {4713, 57023}, {4871, 63493}, {5283, 69511}, {6377, 24349}, {7081, 23543}, {9284, 29659}, {16373, 68893}, {16569, 45751}, {16604, 62711}, {16746, 71461}, {17448, 29827}, {17592, 21902}, {21223, 34020}, {21827, 27538}, {21877, 42043}, {26102, 63481}, {29822, 71976}, {30942, 71975}, {30957, 63508}, {30963, 71947}, {31008, 41840}, {49532, 71004}, {63066, 70436}, {69067, 71477}

X(72150) = complement of X(71900)
X(72150) = crosssum of X(6) and X(71899)
X(72150) = crossdifference of every pair of points on line {890, 4083}

X(72151) = X(1)X(87)∩X(75)X(244)

X(72151) lies on these lines: {1, 87}, {8, 23633}, {37, 4009}, {75, 244}, {354, 536}, {522, 52745}, {537, 3877}, {700, 36494}, {714, 1962}, {1278, 29824}, {3009, 24351}, {3122, 71578}, {3123, 20917}, {3596, 22172}, {3661, 21100}, {3702, 49493}, {3728, 44720}, {3893, 28581}, {4699, 29827}, {4704, 21080}, {4740, 24165}, {7976, 23634}, {17038, 42471}, {17258, 71838}, {17320, 71837}, {17333, 68873}, {17339, 70402}, {17389, 70401}, {17787, 63497}, {21211, 69482}, {24456, 52043}, {24524, 69571}, {27268, 29825}, {45223, 71946}, {48627, 72015}, {49456, 62831}, {49474, 71604}, {51035, 59717}, {53676, 71456}, {56185, 64161}, {64170, 68760}, {64857, 70288}

X(72151) = reflection of X(i) in X(j) for these {i,j}: {4740, 24165}, {32925, 4664}
X(72151) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {192, 42027, 17157}, {42027, 59716, 192}

X(72152) = X(1)X(7275)∩X(2)X(668)

X(72152) lies on these lines: {1, 7275}, {2, 668}, {10, 24528}, {39, 59297}, {42, 17750}, {43, 20963}, {292, 29670}, {330, 34020}, {1449, 1575}, {1574, 59295}, {2229, 17018}, {2241, 4203}, {2275, 6685}, {3121, 32771}, {3741, 63509}, {3757, 23543}, {3840, 63493}, {5283, 43223}, {16058, 68893}, {16549, 53145}, {16569, 16604}, {16592, 32773}, {16744, 71461}, {17459, 49532}, {17754, 20228}, {18140, 41840}, {18905, 29659}, {20284, 49479}, {20286, 24349}, {21223, 31008}, {21827, 32937}, {21838, 71976}, {21877, 42042}, {25502, 63481}, {30942, 63508}, {59300, 63066}, {69067, 71476}

X(72152) = complement of X(71903)
X(72152) = crosssum of X(6) and X(71902)
X(72152) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 22199, 16975}, {3741, 63509, 71975}

X(72153) = X(1)X(56185)∩X(75)X(244)

X(72153) lies on these lines: {1, 56185}, {2, 17038}, {37, 17157}, {43, 25295}, {75, 244}, {76, 22172}, {192, 3720}, {330, 22343}, {596, 49445}, {714, 4687}, {726, 3616}, {1201, 24349}, {1221, 24513}, {1278, 24165}, {1698, 71468}, {3728, 26037}, {3963, 17065}, {4385, 22220}, {4699, 31241}, {6376, 22174}, {6384, 34086}, {16569, 25277}, {17063, 20892}, {17165, 53676}, {17256, 71838}, {17322, 71837}, {17331, 68873}, {17338, 70402}, {17391, 70401}, {20888, 22214}, {20891, 30957}, {21080, 27268}, {21100, 48628}, {23659, 64133}, {24661, 71415}, {25624, 30473}, {26069, 36856}, {28358, 31005}, {28395, 30982}, {30596, 68942}, {32915, 58620}, {32923, 64170}, {34587, 49532}, {39467, 40087}, {39711, 50117}, {40328, 64873}, {49456, 64562}, {64149, 64545}

X(72153) = reflection of X(70160) in X(4687)
X(72153) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {37, 17157, 32925}, {75, 21330, 30942}, {3963, 17065, 71578}, {21080, 27268, 64178}, {24165, 59716, 1278}

X(72154) = X(2)X(668)∩X(37)X(71630)

X(72154) lies on these lines: {2, 668}, {37, 71630}, {42, 2229}, {43, 68950}, {756, 21893}, {1215, 3121}, {1575, 16668}, {1646, 42053}, {1909, 26974}, {1962, 21902}, {2276, 69556}, {3840, 63508}, {3934, 26973}, {3952, 21827}, {4972, 16592}, {6377, 17140}, {6378, 25295}, {6685, 23632}, {9284, 29685}, {9336, 31242}, {16584, 46897}, {17448, 31241}, {18792, 71884}, {20045, 23533}, {20688, 71117}, {20963, 28245}, {21025, 30957}, {21223, 30964}, {21806, 21883}, {21838, 29822}, {22184, 31025}, {23447, 26115}, {23543, 26227}, {24512, 70436}, {24528, 31330}, {30942, 63509}, {30950, 63481}, {43223, 69511}, {70394, 70434}

X(72154) = crossdifference of every pair of points on line {890, 18197}
X(72154) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {42, 16606, 2229}, {1215, 3121, 21327}

X(72155) = X(37)X(714)∩X(75)X(244)

X(72155) lies on these lines: {37, 714}, {75, 244}, {192, 17140}, {313, 22172}, {536, 42053}, {594, 21100}, {596, 28516}, {726, 3636}, {740, 3754}, {744, 4032}, {872, 25295}, {1125, 64873}, {2667, 56185}, {3122, 3963}, {3123, 18143}, {3644, 17155}, {3778, 28593}, {3842, 71468}, {4377, 21257}, {4422, 70402}, {4664, 17157}, {4686, 24165}, {4698, 59565}, {4890, 71141}, {16710, 61183}, {17049, 71138}, {17053, 24327}, {17257, 71838}, {17321, 71837}, {17332, 68873}, {17390, 70401}, {17445, 71420}, {17790, 63520}, {18144, 24456}, {20964, 68986}, {22174, 56249}, {24180, 24225}, {24325, 70437}, {25121, 59519}, {28484, 67983}, {28582, 58679}, {49532, 71601}, {51488, 70160}, {58393, 63800}, {58784, 71078}, {64546, 64869}, {65096, 68985}, {70395, 70435}

X(72155) = midpoint of X(37) and X(42027)
X(72155) = reflection of X(i) in X(j) for these {i,j}: {59565, 4698}, {64545, 58571}
X(72155) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 41683, 22167}, {313, 22172, 68942}, {3122, 3963, 21238}

X(72156) = X(226)X(23663)∩X(1441)X(3120)

X(72156) lies on these lines: {226, 23663}, {1441, 3120}, {2887, 3963}, {3122, 20305}, {3778, 16603}, {4920, 17470}, {8610, 44412}, {14624, 69294}, {16580, 68985}, {16888, 53559}, {17046, 21330}, {20234, 48643}, {22277, 71062}, {25295, 26589}, {26012, 63497}, {41007, 71425}

X(72157) = X(43)X(668)∩X(514)X(661)

X(72157) lies on these lines: {38, 4986}, {43, 668}, {334, 3596}, {514, 661}, {561, 1111}, {3663, 64223}, {6376, 24003}, {18159, 20945}, {22028, 61165}, {27264, 27295}, {29977, 30026}, {30822, 30866}, {39467, 52151}, {51861, 62673}

X(72157) = isotomic conjugate of the isogonal conjugate of X(71887)
X(72157) = X(6)-isoconjugate of X(59052)
X(72157) = X(i)-Dao conjugate of X(j) for these (i,j): {9, 59052}, {71888, 71887}
X(72157) = barycentric product X(i)*X(j) for these {i,j}: {75, 71888}, {76, 71887}, {561, 71886}
X(72157) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 59052}, {71886, 31}, {71887, 6}, {71888, 1}
X(72157) = {X(52043),X(69032)}-harmonic conjugate of X(6381)

X(72158) = X(1)X(190)∩X(9)X(330)

X(72158) lies on these lines: {1, 190}, {9, 330}, {63, 71467}, {194, 3875}, {239, 3928}, {1107, 10436}, {1743, 34063}, {2275, 56025}, {3208, 9263}, {3247, 71462}, {3729, 17448}, {4297, 49783}, {4384, 70256}, {5267, 71594}, {7757, 50581}, {7781, 50028}, {16574, 21384}, {16722, 71783}, {16833, 70150}, {16969, 25728}, {17261, 31999}, {17274, 30038}, {17282, 24215}, {17754, 21226}, {20018, 34701}, {21371, 36857}, {24654, 25101}, {25269, 38247}, {27340, 49521}, {31169, 34860}, {33888, 41771}, {40133, 49518}, {48869, 50608}, {50029, 62858}

X(72158) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 71895, 71898}, {1, 71898, 71901}, {1, 71904, 71893}, {71863, 71895, 1}, {71893, 71898, 71904}, {71893, 71904, 71901}

X(72159) = X(1)X(3159)∩X(2)X(71414)

X(72159) lies on these lines: {1, 3159}, {2, 71414}, {31, 71864}, {42, 70485}, {55, 30957}, {149, 29642}, {171, 71909}, {190, 62869}, {192, 29818}, {238, 63060}, {390, 32948}, {497, 29632}, {519, 71920}, {528, 25961}, {748, 68969}, {750, 71911}, {1001, 19732}, {1125, 33131}, {1215, 62862}, {1279, 32915}, {1621, 30942}, {2177, 71980}, {3058, 25957}, {3158, 9458}, {3244, 63074}, {3315, 32934}, {3434, 29851}, {3685, 17155}, {3720, 70484}, {3722, 18743}, {3748, 32931}, {3750, 71978}, {3836, 34611}, {3840, 61155}, {3870, 72087}, {3873, 4432}, {3914, 29853}, {3923, 29817}, {3938, 64178}, {3950, 63075}, {3957, 4011}, {3993, 17024}, {3996, 17125}, {4358, 17715}, {4387, 32923}, {4418, 4666}, {4423, 32945}, {4428, 32918}, {4649, 72018}, {4671, 71517}, {4672, 62866}, {4676, 62867}, {4702, 32860}, {5284, 26037}, {6535, 50310}, {7075, 38346}, {8616, 29824}, {9345, 72016}, {15485, 17135}, {16484, 24552}, {16779, 68971}, {17122, 71912}, {17123, 71929}, {17124, 71910}, {17127, 42057}, {17156, 60846}, {17264, 71796}, {17597, 32936}, {17778, 72038}, {21241, 29870}, {21283, 71996}, {24210, 29638}, {24542, 33141}, {25760, 49736}, {26034, 47357}, {27064, 67209}, {27065, 49458}, {27131, 50748}, {27631, 40091}, {29672, 33134}, {29814, 49482}, {29820, 32929}, {29829, 72025}, {29830, 33106}, {29839, 71988}, {29844, 32849}, {30653, 71922}, {31034, 72040}, {31161, 72076}, {32577, 52352}, {32771, 42819}, {32781, 49746}, {32935, 62863}, {32938, 42871}, {32942, 62849}, {33065, 40998}, {33069, 49768}, {33120, 64162}, {37652, 50001}, {41839, 67210}, {42042, 70483}, {46938, 70841}, {49989, 56078}, {50127, 72094}, {60714, 71982}, {61358, 72020}, {62821, 71873}, {62998, 72042}, {63056, 72035}, {64681, 71423}, {68893, 70157}, {71630, 72080}

X(72159) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 71414, 71452}, {2, 71452, 71451}, {2, 71918, 71917}, {1001, 32943, 31330}, {5284, 32941, 26037}, {17127, 42057, 71924}, {71452, 71917, 71918}, {71917, 71918, 71451}

X(72160) = X(1)X(312)∩X(2)X(3996)

X(72160) lies on these lines: {1, 312}, {2, 3996}, {6, 72020}, {8, 4423}, {11, 29839}, {21, 29766}, {31, 71864}, {42, 71980}, {43, 25531}, {55, 71985}, {56, 52352}, {57, 65166}, {75, 4666}, {81, 71873}, {86, 4441}, {100, 18613}, {145, 1616}, {149, 18139}, {171, 71414}, {190, 3873}, {192, 17597}, {200, 30829}, {238, 42057}, {321, 29817}, {333, 1001}, {344, 36845}, {345, 10580}, {350, 1233}, {354, 3685}, {390, 18141}, {496, 25650}, {497, 18134}, {519, 17123}, {595, 64536}, {614, 49470}, {643, 55086}, {664, 21609}, {740, 29820}, {748, 71920}, {750, 71452}, {894, 4883}, {940, 72016}, {1043, 3616}, {1120, 56150}, {1125, 33132}, {1222, 3623}, {1279, 1999}, {1376, 30947}, {1621, 14829}, {1961, 49473}, {1997, 63168}, {2177, 30957}, {3052, 37684}, {3058, 4645}, {3240, 71982}, {3241, 5423}, {3242, 41839}, {3243, 30568}, {3263, 4360}, {3305, 49450}, {3315, 17147}, {3340, 64563}, {3434, 17234}, {3622, 19701}, {3699, 3870}, {3706, 16823}, {3720, 5263}, {3729, 44841}, {3741, 16484}, {3742, 4702}, {3748, 7081}, {3750, 3840}, {3757, 42819}, {3771, 24217}, {3886, 10582}, {3896, 7292}, {3912, 4514}, {3957, 4358}, {3967, 15570}, {3971, 49675}, {3979, 59511}, {3993, 17598}, {3995, 62814}, {4011, 49490}, {4038, 49482}, {4085, 72003}, {4126, 49707}, {4210, 23374}, {4255, 26093}, {4310, 62229}, {4387, 24349}, {4388, 4966}, {4413, 26103}, {4418, 17450}, {4428, 71477}, {4432, 32913}, {4664, 62833}, {4673, 54392}, {4676, 62819}, {4684, 33066}, {4693, 24165}, {4779, 21454}, {4864, 35652}, {4871, 60714}, {4884, 58371}, {4906, 49462}, {4956, 48645}, {4972, 17283}, {5045, 7283}, {5223, 72053}, {5233, 26105}, {5274, 30828}, {5284, 17135}, {6063, 55082}, {6327, 17297}, {7270, 63999}, {7308, 49451}, {8167, 49460}, {9369, 58609}, {9580, 17298}, {10389, 30567}, {10578, 28808}, {11019, 32851}, {11269, 41806}, {11679, 38316}, {11680, 29830}, {14997, 72024}, {15485, 32853}, {16486, 20037}, {17018, 71978}, {17122, 71907}, {17124, 71451}, {17126, 71909}, {17127, 41629}, {17165, 62863}, {17243, 71592}, {17263, 25006}, {17264, 63147}, {17285, 29667}, {17295, 33075}, {17300, 63979}, {17389, 70707}, {17449, 32936}, {17592, 29668}, {17687, 29742}, {17715, 29649}, {17774, 30741}, {17785, 29632}, {18031, 18064}, {18137, 71961}, {18398, 63996}, {19998, 37687}, {20011, 37680}, {20012, 37679}, {20069, 51147}, {20942, 72080}, {21283, 72014}, {21453, 61413}, {24210, 33124}, {24216, 59547}, {24542, 33142}, {24841, 32925}, {25960, 71939}, {25961, 71940}, {26015, 33116}, {26034, 49746}, {26102, 32941}, {26139, 37663}, {26223, 62866}, {26227, 62862}, {27064, 49478}, {27191, 33131}, {27538, 41711}, {29642, 33141}, {29655, 33158}, {29672, 33135}, {29818, 32928}, {29821, 49471}, {29823, 62851}, {29835, 33157}, {29843, 32777}, {29844, 33092}, {29851, 33136}, {29853, 33128}, {30090, 71963}, {30653, 71914}, {30832, 33171}, {30942, 62849}, {30950, 32945}, {31137, 32916}, {31161, 72088}, {32861, 49764}, {32864, 50001}, {32915, 32922}, {32929, 64149}, {32930, 62867}, {32931, 67209}, {32937, 42871}, {33095, 49676}, {34791, 56311}, {35614, 57024}, {37541, 40420}, {37633, 72019}, {37639, 70834}, {37685, 72018}, {38314, 49492}, {38315, 58820}, {40688, 62392}, {42028, 70419}, {42029, 64667}, {42042, 70942}, {47357, 63140}, {48805, 70484}, {49447, 62850}, {49499, 56082}, {49687, 71730}, {50127, 72082}, {50310, 69089}, {50315, 72010}, {57815, 70809}, {61155, 71984}, {63074, 72022}, {64070, 70742}, {64675, 70499}, {66469, 72058}, {68966, 71936}, {71630, 72092}

X(72160) = reflection of X(71931) in X(17123)
X(72160) = crosspoint of X(1016) and X(4625)
X(72160) = crosssum of X(1015) and X(63461)
X(72160) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 68969, 3996}, {2, 71928, 68969}, {2, 71929, 71926}, {31, 71930, 71913}, {171, 71414, 71911}, {238, 42057, 71935}, {238, 71935, 71915}, {354, 3685, 32939}, {750, 71452, 71910}, {1001, 10453, 333}, {1279, 4891, 1999}, {1621, 29824, 14829}, {3720, 32943, 5263}, {3742, 4702, 32932}, {3870, 18743, 3699}, {3886, 10582, 19804}, {3912, 64162, 4514}, {4684, 40998, 33066}, {4966, 49736, 4388}, {5284, 17135, 17277}, {8167, 49460, 59296}, {11680, 29830, 41878}, {17122, 71918, 71907}, {17127, 71933, 41629}, {24210, 49768, 33124}, {24552, 29814, 86}, {26102, 32941, 71981}, {32925, 62869, 24841}, {56082, 62815, 49499}, {68969, 71926, 71929}, {71864, 71930, 31}, {71926, 71929, 3996}

X(72161) = X(1)X(2)∩X(31)X(68966)

X(72161) lies on these lines: {1, 2}, {31, 68966}, {38, 50075}, {75, 21805}, {81, 50283}, {171, 71916}, {210, 536}, {238, 71451}, {244, 49450}, {310, 25287}, {312, 71631}, {321, 50086}, {350, 50088}, {537, 3681}, {672, 37654}, {740, 42056}, {748, 3996}, {750, 71913}, {756, 4664}, {902, 17349}, {982, 70992}, {984, 69539}, {1011, 4421}, {1150, 56009}, {1211, 48821}, {1215, 50096}, {1376, 32864}, {1575, 50082}, {1621, 4954}, {1738, 33065}, {1962, 51488}, {2177, 17277}, {2238, 17281}, {2239, 71795}, {2276, 17330}, {2296, 55955}, {2550, 32843}, {3175, 58629}, {3550, 19742}, {3654, 4192}, {3666, 51034}, {3686, 17756}, {3689, 17348}, {3696, 32931}, {3711, 4361}, {3715, 32936}, {3739, 21870}, {3740, 32915}, {3745, 50124}, {3750, 71987}, {3751, 72070}, {3752, 4113}, {3789, 28503}, {3829, 47513}, {3913, 16373}, {3952, 49474}, {3989, 4734}, {3993, 9330}, {4009, 49468}, {4015, 64184}, {4023, 25760}, {4042, 32918}, {4046, 50097}, {4082, 50100}, {4085, 72000}, {4090, 28605}, {4096, 42044}, {4104, 32776}, {4152, 4405}, {4191, 11194}, {4358, 49459}, {4359, 31178}, {4365, 4937}, {4383, 32945}, {4392, 49510}, {4399, 72127}, {4413, 32919}, {4414, 60731}, {4418, 50127}, {4422, 70523}, {4429, 69300}, {4441, 50099}, {4457, 59511}, {4479, 18152}, {4649, 71983}, {4660, 37656}, {4661, 24165}, {4662, 50078}, {4671, 4709}, {4687, 21806}, {4688, 4849}, {4706, 49515}, {4715, 69031}, {4740, 32937}, {4753, 62795}, {4755, 37593}, {4819, 17243}, {4850, 49457}, {4886, 33074}, {4921, 13588}, {4970, 50777}, {4971, 71702}, {5044, 50122}, {5220, 32845}, {5233, 33136}, {5247, 16393}, {5251, 47040}, {5278, 60714}, {5361, 59679}, {5739, 32948}, {5741, 32865}, {9347, 49489}, {9350, 14829}, {11246, 28333}, {11362, 19647}, {13576, 31142}, {14555, 32947}, {14973, 56128}, {14996, 49685}, {14997, 49482}, {16477, 72017}, {16704, 56010}, {17122, 71919}, {17123, 71929}, {17124, 71935}, {17125, 68969}, {17126, 71921}, {17127, 71450}, {17147, 51035}, {17157, 22271}, {17208, 68988}, {17300, 72043}, {17333, 17759}, {17335, 70520}, {17346, 41142}, {17378, 60706}, {17449, 24620}, {17488, 41840}, {17495, 49448}, {17778, 71993}, {19323, 54312}, {19540, 34718}, {19804, 51055}, {20715, 72100}, {20962, 64709}, {21242, 37651}, {21283, 71990}, {21747, 63050}, {22316, 70160}, {24512, 50131}, {24589, 49490}, {24690, 66454}, {24725, 69755}, {24988, 33087}, {25280, 30964}, {25960, 71938}, {25961, 71937}, {26073, 72007}, {27476, 46897}, {28534, 67494}, {28554, 42054}, {28581, 61686}, {28606, 50094}, {28610, 37109}, {30945, 50081}, {31000, 40598}, {31034, 71991}, {31035, 49469}, {31160, 60079}, {32784, 70970}, {32911, 50300}, {32928, 50120}, {32930, 50126}, {32938, 49721}, {32941, 37680}, {32943, 37679}, {33089, 49693}, {33104, 63002}, {33109, 63010}, {33125, 50092}, {33131, 69299}, {33156, 70971}, {35983, 64072}, {36588, 39741}, {36911, 62646}, {37633, 49497}, {37657, 50115}, {37673, 50087}, {37676, 47359}, {37756, 71798}, {41144, 50085}, {41839, 51054}, {42026, 46150}, {42029, 71630}, {44417, 51036}, {45313, 69517}, {46922, 61358}, {47969, 48010}, {49449, 62868}, {49517, 70995}, {50315, 71999}, {53676, 58292}, {60071, 70320}, {62998, 71989}, {63108, 70484}, {66451, 69571}

X(72161) = reflection of X(64178) in X(63961)
X(72161) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 8, 31136}, {2, 3241, 3720}, {2, 3679, 31330}, {2, 4651, 3679}, {2, 17018, 551}, {2, 17135, 31137}, {2, 20012, 3241}, {2, 31136, 30942}, {2, 31137, 30957}, {2, 31145, 10453}, {2, 40891, 17027}, {2, 62296, 43}, {8, 899, 30942}, {10, 49988, 3240}, {31, 71926, 71917}, {31, 71931, 71920}, {42, 59296, 26037}, {43, 3679, 2}, {43, 4651, 31330}, {171, 71932, 71923}, {210, 32860, 32925}, {238, 71927, 71451}, {551, 71977, 2}, {748, 3996, 71452}, {750, 71934, 71924}, {899, 31136, 2}, {3241, 26038, 2}, {3621, 30947, 50001}, {3632, 62711, 29824}, {3711, 4361, 32927}, {3828, 43223, 2}, {4418, 72065, 50127}, {4651, 62296, 2}, {4677, 16569, 31137}, {4677, 31137, 17135}, {16569, 17135, 30957}, {16569, 31137, 2}, {17122, 71936, 71919}, {20012, 26038, 3720}, {30950, 49983, 145}, {59295, 59296, 42}, {68966, 71907, 31}, {68966, 71926, 71907}, {71907, 71931, 68966}, {71917, 71920, 31}, {71926, 71931, 31}

X(72162) = X(1)X(2)∩X(31)X(3996)

X(72162) lies on these lines: {1, 2}, {6, 32945}, {31, 3996}, {37, 4113}, {38, 49450}, {40, 48923}, {55, 32864}, {69, 32948}, {75, 71631}, {76, 25286}, {81, 49497}, {100, 32853}, {171, 71914}, {210, 28581}, {238, 71452}, {291, 65050}, {310, 24524}, {312, 21805}, {319, 33074}, {321, 49459}, {333, 2177}, {348, 25720}, {518, 17155}, {524, 3779}, {528, 26893}, {536, 64581}, {537, 50106}, {672, 5839}, {726, 4661}, {740, 3681}, {748, 68969}, {750, 71919}, {752, 49719}, {756, 49470}, {902, 37652}, {940, 49680}, {982, 49689}, {984, 3896}, {1011, 3913}, {1150, 60714}, {1376, 32919}, {1738, 33069}, {1757, 32929}, {2209, 68966}, {2229, 24528}, {2238, 17299}, {2239, 49698}, {2269, 10385}, {2276, 4030}, {2321, 37657}, {2550, 32949}, {2895, 4660}, {3136, 12607}, {3208, 40586}, {3242, 32924}, {3434, 32843}, {3550, 16704}, {3696, 32771}, {3706, 4849}, {3728, 4664}, {3748, 17348}, {3750, 5278}, {3751, 4418}, {3755, 32776}, {3759, 17469}, {3789, 71320}, {3813, 47513}, {3842, 62840}, {3873, 42053}, {3886, 32930}, {3891, 4716}, {3914, 33065}, {3923, 72071}, {3936, 32865}, {3943, 4126}, {3969, 33165}, {3995, 49469}, {4023, 25960}, {4038, 71983}, {4042, 32917}, {4046, 49524}, {4060, 70463}, {4085, 32782}, {4090, 4671}, {4184, 8715}, {4191, 12513}, {4207, 68004}, {4210, 8666}, {4359, 49490}, {4361, 30949}, {4365, 32937}, {4383, 32943}, {4388, 71940}, {4396, 36485}, {4417, 33136}, {4421, 19346}, {4428, 19723}, {4429, 33081}, {4430, 24165}, {4442, 33101}, {4457, 24325}, {4479, 30596}, {4519, 59596}, {4645, 71941}, {4649, 71979}, {4706, 21342}, {4709, 28605}, {4734, 46901}, {4771, 26242}, {4785, 50481}, {4863, 32844}, {4891, 61686}, {4921, 4954}, {4923, 53663}, {4966, 25961}, {4970, 7226}, {4972, 33084}, {4974, 62806}, {4980, 50086}, {4981, 17592}, {5014, 32861}, {5220, 32936}, {5263, 61358}, {5372, 59679}, {5564, 37632}, {5695, 32938}, {5739, 32947}, {5741, 33141}, {6007, 61640}, {6818, 64068}, {7109, 70157}, {7991, 50694}, {8616, 19742}, {9350, 71985}, {10434, 62189}, {11362, 37400}, {13588, 66212}, {14020, 43073}, {15104, 29016}, {15983, 50576}, {16484, 71987}, {16709, 50132}, {17122, 71933}, {17123, 71928}, {17124, 71930}, {17126, 71450}, {17127, 71918}, {17140, 49498}, {17144, 18152}, {17147, 49448}, {17151, 20347}, {17157, 22316}, {17165, 49474}, {17208, 33297}, {17233, 69298}, {17275, 60724}, {17277, 62849}, {17300, 71993}, {17314, 59207}, {17363, 17759}, {17372, 30945}, {17377, 60706}, {17449, 17490}, {17495, 62865}, {17778, 71989}, {17781, 28580}, {19796, 71798}, {19804, 62867}, {21283, 33106}, {21387, 46148}, {21870, 44417}, {22199, 52959}, {22271, 70160}, {24391, 37262}, {24715, 32859}, {25760, 71938}, {25957, 71937}, {26073, 72011}, {28606, 49457}, {28840, 50484}, {30961, 32927}, {30985, 32920}, {31034, 33109}, {31161, 42029}, {32773, 69300}, {32850, 32852}, {32862, 49693}, {32911, 32941}, {32912, 32932}, {32928, 49486}, {32933, 49712}, {32935, 64010}, {32940, 64070}, {32946, 33110}, {33064, 33131}, {33066, 33094}, {33098, 62392}, {33104, 62998}, {33114, 33160}, {33118, 33156}, {33121, 70971}, {33122, 33132}, {33125, 49511}, {33126, 33128}, {33134, 69299}, {33163, 70517}, {33172, 50315}, {33956, 67493}, {35270, 64146}, {37193, 56879}, {37631, 49725}, {37639, 56010}, {37676, 49688}, {37685, 49685}, {39737, 51488}, {40721, 48628}, {41629, 70143}, {42034, 70501}, {42039, 50075}, {42045, 50301}, {44307, 49475}, {44416, 70523}, {47359, 50048}, {48800, 56969}, {48823, 51671}, {48832, 54331}, {49482, 63074}, {49489, 62807}, {50126, 72065}, {50127, 72073}, {54406, 69640}, {56009, 71984}, {57722, 70320}, {62821, 71981}, {62846, 72019}, {63002, 71988}, {63051, 72028}, {63056, 71991}, {63060, 71912}, {69243, 71398}, {70923, 71793}, {71908, 71916}

X(72162) = reflection of X(i) in X(j) for these {i,j}: {2, 4685}, {4430, 24165}, {17155, 32860}, {32915, 210}, {32925, 3681}, {42044, 42054}
X(72162) = anticomplement of X(42057)
X(72162) = anticomplement of the isotomic conjugate of X(65075)
X(72162) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {65074, 69}, {65075, 6327}
X(72162) = X(65075)-Ceva conjugate of X(2)
X(72162) = crosssum of X(1) and X(27636)
X(72162) = barycentric product X(37)*X(58814)
X(72162) = barycentric quotient X(58814)/X(274)
X(72162) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4651, 26037}, {2, 62296, 36634}, {8, 42, 31330}, {8, 20012, 42}, {8, 20018, 10459}, {31, 3996, 71451}, {31, 71934, 71923}, {42, 30970, 59297}, {42, 49983, 20012}, {43, 3632, 17135}, {43, 17135, 30942}, {145, 59296, 3720}, {171, 71927, 71917}, {171, 71936, 71924}, {200, 17156, 17763}, {210, 32915, 64178}, {238, 71929, 71452}, {238, 71932, 71920}, {306, 49772, 33117}, {750, 71935, 71919}, {899, 10453, 30957}, {3244, 71977, 29814}, {3621, 59295, 10453}, {3632, 19998, 30942}, {3679, 42042, 2}, {3681, 42044, 42054}, {3706, 4849, 32931}, {3751, 63131, 4418}, {3961, 50016, 3187}, {3996, 71915, 71910}, {3996, 71934, 31}, {4028, 25006, 29643}, {4361, 41711, 32923}, {4383, 49460, 32943}, {4651, 20011, 1}, {4970, 49510, 7226}, {10453, 59295, 899}, {17135, 19998, 43}, {17144, 25287, 18152}, {21283, 63010, 33106}, {31137, 36634, 2}, {42044, 42054, 32925}, {68969, 71931, 748}, {71450, 71925, 17126}, {71451, 71923, 31}, {71452, 71920, 238}, {71910, 71915, 31}, {71910, 71934, 71915}, {71917, 71924, 171}, {71918, 71921, 17127}, {71926, 71935, 750}, {71927, 71936, 171}, {71929, 71932, 238}

X(72163) = X(1)X(2)∩X(31)X(71864)

X(72163) lies on these lines: {1, 2}, {31, 71864}, {36, 47040}, {38, 4664}, {56, 16395}, {75, 17450}, {81, 50300}, {171, 71452}, {190, 54352}, {192, 17449}, {238, 71916}, {244, 49470}, {310, 4479}, {312, 31161}, {321, 31178}, {350, 17378}, {354, 536}, {497, 32949}, {518, 64178}, {524, 71702}, {537, 3873}, {740, 64149}, {748, 68966}, {750, 68969}, {752, 71696}, {756, 50075}, {902, 37684}, {940, 32943}, {942, 50122}, {982, 69539}, {996, 16490}, {999, 16396}, {1001, 32919}, {1002, 55952}, {1011, 11194}, {1150, 16484}, {1215, 62866}, {1468, 13735}, {1575, 50123}, {2177, 71985}, {2229, 63493}, {2238, 50131}, {2276, 50113}, {2901, 50190}, {3136, 3829}, {3210, 51054}, {3304, 16405}, {3315, 32921}, {3655, 4192}, {3681, 42056}, {3706, 4688}, {3742, 32860}, {3750, 71984}, {3751, 72065}, {3752, 50778}, {3879, 71900}, {3889, 63800}, {3896, 17063}, {3936, 24217}, {3952, 49498}, {3966, 50076}, {3971, 4430}, {3993, 4392}, {3994, 49499}, {3995, 51035}, {3996, 17124}, {3999, 49462}, {4038, 24552}, {4085, 71999}, {4090, 46938}, {4191, 4421}, {4358, 49490}, {4359, 50086}, {4365, 4740}, {4387, 32940}, {4418, 50126}, {4423, 32864}, {4432, 62795}, {4441, 50116}, {4649, 71978}, {4661, 59517}, {4671, 49479}, {4684, 33065}, {4702, 37520}, {4715, 57024}, {4742, 66640}, {4785, 69526}, {4795, 24330}, {4850, 49471}, {4851, 32844}, {4854, 49741}, {4860, 32845}, {4883, 32771}, {4937, 32937}, {4966, 25760}, {5263, 9345}, {5284, 32853}, {5563, 11322}, {5882, 19647}, {6682, 62840}, {7226, 50777}, {8616, 37639}, {9330, 49510}, {9347, 49473}, {10707, 30985}, {11354, 19714}, {12513, 16373}, {14829, 62849}, {14996, 49482}, {14997, 49685}, {15485, 16704}, {16393, 37607}, {16397, 37608}, {16404, 37580}, {16477, 72022}, {16610, 49475}, {16712, 17208}, {16748, 17180}, {17122, 71917}, {17123, 71920}, {17125, 71934}, {17126, 71414}, {17127, 71922}, {17145, 31035}, {17146, 49532}, {17149, 39996}, {17154, 49445}, {17234, 33136}, {17241, 21026}, {17243, 51463}, {17264, 71795}, {17271, 71599}, {17274, 30941}, {17281, 24512}, {17297, 31134}, {17300, 33104}, {17313, 30949}, {17320, 41851}, {17382, 30945}, {17387, 30997}, {17390, 72127}, {17488, 41912}, {17495, 49469}, {17591, 27804}, {17597, 32928}, {17601, 24593}, {17778, 71988}, {18139, 33141}, {18141, 32948}, {19546, 37727}, {19715, 48862}, {19787, 48816}, {20162, 24602}, {20942, 71630}, {21020, 69519}, {21027, 27147}, {21283, 71991}, {21805, 30829}, {24210, 33069}, {24441, 24690}, {24514, 63052}, {24589, 49459}, {25960, 71937}, {25961, 71938}, {28198, 37536}, {28534, 50362}, {28554, 42044}, {28605, 51060}, {28606, 50111}, {30962, 50101}, {30963, 50132}, {30969, 50103}, {31034, 71990}, {31993, 51061}, {32776, 50092}, {32911, 50283}, {32920, 62863}, {32924, 50120}, {32926, 62869}, {32927, 42871}, {32930, 50127}, {32931, 49478}, {32941, 37633}, {32942, 46922}, {32945, 37674}, {33106, 63056}, {33125, 50091}, {33134, 49676}, {34628, 50694}, {34647, 46521}, {34791, 50078}, {35992, 62837}, {36911, 40586}, {37400, 51705}, {37654, 59207}, {37676, 47356}, {37680, 49497}, {40021, 60624}, {41142, 50121}, {41144, 50125}, {41629, 62740}, {42028, 70596}, {42051, 58560}, {42053, 50106}, {44307, 51034}, {45313, 69495}, {47357, 56509}, {48821, 69092}, {48826, 62844}, {49456, 62868}, {50088, 60706}, {50115, 63066}, {50315, 72000}, {60714, 71986}, {61358, 71980}, {62846, 71873}, {62998, 71992}, {63002, 72044}, {63051, 72034}, {63108, 70481}, {63994, 66697}, {68895, 71568}, {68938, 69518}, {69511, 71975}

X(72163) = reflection of X(3681) in X(42056)
X(72163) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 29824, 30942}, {1, 29827, 29822}, {1, 31137, 2}, {1, 70219, 26227}, {2, 3241, 42}, {2, 3679, 26037}, {2, 10453, 31136}, {2, 17135, 3679}, {2, 20011, 62296}, {2, 20049, 59295}, {2, 29814, 551}, {2, 29824, 31137}, {2, 31136, 31330}, {2, 31137, 30942}, {2, 31145, 59296}, {2, 62296, 16569}, {31, 71930, 71919}, {145, 30947, 899}, {171, 71928, 71452}, {238, 71933, 71924}, {312, 51055, 31161}, {354, 4891, 32915}, {354, 32915, 17155}, {551, 3741, 2}, {748, 71935, 71923}, {750, 68969, 71451}, {3244, 4871, 3240}, {3633, 62711, 19998}, {3679, 26102, 2}, {3720, 10453, 31330}, {3720, 31136, 2}, {3828, 25501, 2}, {4666, 39594, 32914}, {17122, 71929, 71917}, {17123, 71936, 71920}, {17135, 26102, 26037}, {17145, 31035, 49448}, {17146, 62227, 49532}, {30950, 50001, 8}, {31161, 62867, 51055}, {32930, 72070, 50127}, {50127, 62819, 72070}, {71864, 71913, 31}, {71864, 71930, 71913}

X(72164) = X(1)X(2)∩X(6)X(32943)

X(72164) lies on these lines: {1, 2}, {6, 32943}, {31, 41629}, {38, 49470}, {55, 32919}, {69, 32947}, {75, 39739}, {81, 32941}, {149, 32946}, {171, 71451}, {210, 4891}, {238, 63060}, {310, 17144}, {312, 71630}, {320, 33094}, {321, 49490}, {333, 62849}, {350, 17377}, {354, 28581}, {497, 32843}, {518, 3175}, {524, 3056}, {536, 17157}, {537, 42044}, {672, 17314}, {726, 4430}, {740, 3873}, {748, 71920}, {750, 3996}, {752, 34611}, {756, 49450}, {902, 37683}, {940, 32945}, {942, 50083}, {982, 3896}, {984, 72052}, {1001, 19723}, {1011, 12513}, {1150, 3750}, {1468, 4234}, {1621, 4921}, {1743, 68971}, {2177, 14829}, {2229, 63509}, {2239, 49695}, {2276, 17388}, {2321, 63066}, {2350, 3501}, {2650, 4673}, {3136, 3813}, {3210, 17449}, {3242, 32928}, {3434, 32949}, {3550, 37639}, {3555, 11355}, {3578, 50296}, {3666, 49475}, {3681, 4096}, {3685, 32912}, {3696, 4883}, {3706, 32771}, {3722, 3769}, {3745, 49467}, {3751, 32930}, {3755, 33125}, {3791, 62806}, {3875, 30941}, {3879, 4441}, {3881, 64184}, {3886, 4418}, {3891, 49675}, {3894, 68895}, {3902, 66640}, {3913, 4191}, {3914, 4684}, {3915, 56018}, {3923, 72072}, {3936, 33141}, {3969, 33169}, {3971, 4661}, {3993, 7226}, {3995, 49448}, {4038, 71979}, {4082, 4924}, {4085, 33172}, {4184, 8666}, {4192, 37727}, {4196, 68004}, {4210, 8715}, {4359, 49459}, {4365, 24349}, {4383, 49680}, {4387, 32938}, {4388, 71941}, {4392, 4970}, {4396, 36488}, {4421, 16678}, {4442, 33103}, {4479, 50132}, {4514, 32852}, {4641, 4702}, {4645, 71940}, {4649, 19738}, {4660, 32863}, {4664, 22167}, {4676, 4722}, {4693, 32933}, {4725, 56537}, {4762, 50519}, {4851, 4863}, {4852, 30945}, {4864, 30969}, {4865, 30985}, {4889, 21264}, {4914, 17372}, {4966, 25957}, {4972, 33087}, {4980, 31178}, {5014, 32846}, {5048, 30981}, {5247, 11346}, {5263, 42028}, {5278, 16484}, {5695, 32940}, {5741, 24217}, {5839, 59207}, {5882, 37400}, {6817, 64068}, {7075, 69074}, {7757, 23473}, {8616, 16704}, {8692, 19750}, {9345, 71981}, {10987, 50252}, {11194, 19346}, {12437, 37262}, {12536, 37109}, {12607, 47513}, {13588, 62837}, {15485, 19742}, {16474, 48863}, {16477, 72018}, {16690, 68966}, {16748, 32104}, {17122, 71927}, {17123, 71932}, {17124, 71926}, {17125, 71931}, {17126, 71918}, {17127, 71414}, {17140, 49474}, {17142, 50133}, {17145, 17147}, {17165, 49498}, {17180, 32092}, {17208, 33296}, {17233, 33162}, {17264, 71139}, {17299, 24512}, {17300, 71989}, {17318, 24690}, {17373, 31004}, {17393, 30966}, {17450, 19804}, {17591, 64161}, {17592, 46909}, {17597, 32924}, {17765, 71696}, {17778, 33104}, {18134, 33136}, {18139, 32865}, {18152, 24524}, {18743, 21805}, {19336, 37607}, {19722, 32772}, {20068, 49445}, {20963, 48864}, {21283, 33109}, {21384, 40586}, {23632, 71975}, {24210, 33065}, {24310, 34607}, {24325, 62866}, {24437, 50121}, {25423, 50524}, {25760, 71937}, {28337, 71702}, {28605, 49479}, {28606, 49471}, {30961, 32844}, {30965, 49472}, {31034, 33106}, {31161, 42034}, {32773, 33081}, {32776, 49511}, {32782, 50315}, {32859, 33095}, {32911, 49497}, {32913, 32929}, {32921, 62814}, {32922, 62869}, {32923, 42871}, {32927, 41711}, {32934, 62235}, {32939, 54352}, {32942, 61358}, {33064, 33134}, {33114, 33158}, {33121, 33156}, {33122, 33135}, {33124, 33128}, {33131, 49676}, {37676, 49681}, {37685, 49482}, {41310, 64557}, {41312, 49717}, {42025, 50302}, {42029, 51055}, {42033, 71795}, {42041, 50075}, {46922, 70406}, {47358, 50068}, {48823, 50169}, {48825, 50171}, {48862, 54331}, {49449, 72054}, {49473, 62807}, {49685, 63074}, {49724, 49740}, {50107, 71423}, {50126, 72070}, {50127, 72074}, {50190, 64185}, {50257, 66637}, {56009, 71986}, {58381, 62840}, {60714, 71984}, {61155, 71489}, {62846, 72016}, {62998, 71988}, {63002, 71992}, {63010, 71990}, {63051, 72032}, {69017, 71794}, {69217, 69640}, {71864, 71915}, {71909, 71916}, {71910, 71913}, {71912, 71914}

X(72164) = reflection of X(i) in X(j) for these {i,j}: {2, 42057}, {210, 4891}, {4661, 3971}, {17155, 3873}, {32860, 354}, {32925, 32915}, {50083, 942}, {50106, 42055}
X(72164) = anticomplement of X(4685)
X(72164) = anticomplement of the isotomic conjugate of X(65077)
X(72164) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {39742, 1330}, {39966, 2895}, {60236, 21287}, {65077, 6327}
X(72164) = X(65077)-Ceva conjugate of X(2)
X(72164) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17135, 31330}, {1, 17156, 32914}, {8, 3720, 26037}, {31, 68969, 71452}, {31, 71935, 71924}, {42, 10453, 30942}, {42, 50001, 10453}, {43, 3633, 20011}, {43, 29824, 30957}, {145, 10453, 42}, {145, 50001, 30942}, {171, 71929, 71451}, {171, 71933, 71919}, {238, 71936, 71923}, {748, 71934, 71920}, {750, 3996, 71917}, {940, 49460, 32945}, {982, 49678, 3896}, {3244, 3741, 17018}, {3632, 26102, 4651}, {3706, 49478, 32771}, {3870, 39594, 17763}, {3873, 50106, 42055}, {3886, 62819, 4418}, {3914, 4684, 33069}, {3996, 71930, 750}, {4028, 26015, 29849}, {4387, 64070, 32938}, {4851, 4863, 33072}, {4966, 71938, 25957}, {17145, 17147, 62865}, {17450, 71631, 19804}, {17597, 49486, 32924}, {20011, 29824, 43}, {20014, 30947, 49983}, {21283, 63056, 33109}, {26723, 49768, 29853}, {29673, 49764, 32858}, {31137, 42043, 2}, {36534, 58820, 29816}, {41629, 68969, 71911}, {41629, 71911, 31}, {42055, 50106, 17155}, {49469, 62865, 17147}, {68969, 71935, 31}, {71414, 71925, 17127}, {71451, 71919, 171}, {71452, 71924, 31}, {71911, 71935, 41629}, {71918, 71922, 17126}, {71928, 71936, 238}, {71929, 71933, 171}

X(72165) = X(2)X(513)∩X(238)X(519)

X(72165) lies on these lines: {2, 513}, {44, 29824}, {238, 519}, {320, 4871}, {899, 71868}, {3246, 62401}, {3257, 25531}, {4370, 70116}, {4422, 56811}, {4977, 46795}, {17281, 70706}, {17320, 60725}, {24003, 42084}, {30947, 36275}, {31151, 49993}

X(72165) = reflection of X(31151) in X(49993)
X(72165) = crossdifference of every pair of points on line {3230, 21143}

X(72166) = X(6)X(71865)∩X(75)X(62872)

X(72166) lies on these lines: {6, 71865}, {75, 62872}, {1621, 17336}, {3758, 70558}, {3779, 18040}, {3963, 9054}, {5263, 16496}, {13476, 53338}, {17142, 44671}, {17228, 70405}, {18046, 52020}, {18133, 64751}, {18137, 35892}, {20683, 29396}, {21746, 65161}, {22277, 70854}, {25277, 64524}, {25295, 56537}, {30939, 71459}, {57024, 71456}, {57280, 72086}

X(72166) = {X(35892),X(71457)}-harmonic conjugate of X(18137)

X(72167) = X(2)X(668)∩X(100)X(190)

X(72167) lies on these lines: {2, 668}, {100, 190}, {649, 54099}, {650, 61406}, {799, 70113}, {4103, 10196}, {4553, 14404}, {4562, 47775}, {4568, 6546}, {4607, 47763}, {6632, 69865}, {7035, 17494}, {7192, 9362}, {9458, 71863}, {16726, 21893}, {26777, 61402}, {31150, 68107}, {46722, 70714}, {69479, 70697}

X(72167) = trilinear pole of line {16482, 57038}
X(72167) = crossdifference of every pair of points on line {890, 1015}
X(72167) = X(i)-line conjugate of X(j) for these (i,j): {2, 1015}, {100, 890}
X(72167) = barycentric product X(i)*X(j) for these {i,j}: {190, 57038}, {668, 16482}
X(72167) = barycentric quotient X(i)/X(j) for these {i,j}: {16482, 513}, {57038, 514}
X(72167) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3952, 47776, 190}, {31150, 68107, 71816}

X(72168) = X(1)X(2)∩X(2170)X(70248)

X(72168) lies on these lines: {1, 2}, {2170, 70248}, {3263, 4051}, {3698, 24629}, {5291, 71474}, {12513, 24602}, {14923, 17755}, {20244, 56025}, {20335, 25278}, {21384, 69028}, {24524, 30949}, {24735, 69245}, {25298, 30985}, {33933, 35957}, {37670, 70946}, {44720, 63587}, {56024, 71965}

X(72168) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 71951, 71953}, {1, 71953, 71954}, {1, 71955, 71950}, {8, 49774, 30036}, {3621, 30057, 3912}, {57038, 71951, 1}, {71950, 71953, 71955}, {71950, 71955, 71954}

X(72169) = X(1)X(71779)∩X(32)X(71955)

X(72169) lies on these lines: {1, 71779}, {32, 71955}, {171, 24735}, {172, 71953}, {1125, 71474}, {1914, 71954}, {2241, 71952}, {2242, 71951}, {3913, 17243}, {4386, 30030}, {4395, 69863}, {4950, 26532}, {7263, 63933}, {20172, 21025}, {20255, 70550}, {24656, 70946}, {29968, 69243}, {31490, 59625}, {70476, 71778}, {71591, 71960}, {71593, 71966}, {71596, 71965}

X(72169) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1914, 71954, 71957}, {2241, 71952, 71956}

X(72170) = X(1)X(71778)∩X(32)X(71955)

X(72170) lies on these lines: {1, 71778}, {2, 9259}, {32, 71955}, {141, 9708}, {172, 71954}, {958, 20255}, {1125, 71475}, {1914, 71953}, {2241, 71951}, {2242, 71952}, {3739, 24249}, {4426, 30030}, {7263, 69380}, {24170, 31456}, {24735, 41239}, {25102, 25500}, {25350, 31449}, {27076, 55161}, {37673, 69044}, {49481, 54318}, {71482, 71779}, {71590, 71960}, {71592, 71966}, {71595, 71965}

X(72170) = {X(1),X(71957)}-harmonic conjugate of X(71956)

X(72171) = X(1)X(71962)∩X(76)X(71960)

X(72171) lies on these lines: {1, 71962}, {76, 71960}, {1574, 27348}, {3635, 17263}, {4051, 61187}, {4875, 33940}, {16829, 70559}, {17143, 26770}, {17144, 70838}, {17352, 50637}, {27304, 64133}, {30036, 33297}, {33116, 50019}, {37686, 71951}, {70835, 71588}

X(72172) = X(1)X(1278)∩X(6)X(71868)

X(72172) lies on these lines: {1, 1278}, {6, 71868}, {42, 17339}, {239, 71963}, {2293, 17389}, {2667, 31317}, {3661, 4343}, {3729, 3957}, {3731, 3935}, {3870, 17261}, {4335, 17288}, {4363, 71961}, {16777, 70811}, {21061, 61155}, {25590, 29817}, {25601, 36845}, {29572, 60785}

X(72173) = X(1)X(87)∩X(6)X(71961)

X(72173) lies on these lines: {1, 87}, {6, 71961}, {9, 3957}, {42, 17338}, {314, 71928}, {1621, 35892}, {2293, 17391}, {2663, 67209}, {3662, 4343}, {3720, 27147}, {3870, 17260}, {4361, 71958}, {4393, 55340}, {10389, 21371}, {10436, 29817}, {10578, 27254}, {15668, 70811}, {16574, 61155}, {16826, 64681}, {17018, 26685}, {17117, 71963}, {17715, 20964}, {20172, 70558}, {23407, 64546}, {29569, 64739}, {29967, 64162}, {44421, 62815}

X(72174) = X(1)X(71959)∩X(2)X(20943)

X(72174) lies on these lines: {1, 71959}, {2, 20943}, {75, 25261}, {190, 71954}, {344, 25280}, {350, 27304}, {1698, 70838}, {3617, 17264}, {3761, 71962}, {5283, 27324}, {6376, 28742}, {17335, 17751}, {26964, 30963}, {27523, 60706}

X(72175) = X(1)X(71962)∩X(2)X(330)

X(72175) lies on these lines: {1, 71962}, {2, 330}, {8, 17240}, {1655, 17278}, {2295, 17338}, {3570, 25500}, {3691, 17234}, {3760, 71959}, {3780, 17244}, {4687, 26965}, {4751, 26035}, {4754, 27147}, {6666, 30030}, {17033, 17337}, {17137, 17335}, {17277, 29966}, {17352, 59305}, {17371, 19874}, {18230, 21281}, {20195, 56025}, {30110, 69523}, {32092, 70838}, {37686, 71950}

X(72176) = X(1)X(3644)∩X(6)X(71868)

X(72176) lies on these lines: {1, 3644}, {6, 71868}, {37, 70811}, {894, 71961}, {1742, 17387}, {2293, 17315}, {3759, 71963}, {3870, 17336}, {3935, 16814}, {3957, 17351}, {4335, 17227}, {4343, 17289}, {17160, 55340}, {41847, 64681}, {59733, 71051}, {62231, 71278}, {64546, 71673}, {69519, 70406}

X(72177) = X(1)X(17336)∩X(6)X(71961)

X(72177) lies on these lines: {1, 17336}, {6, 71961}, {37, 70686}, {75, 25375}, {190, 55340}, {320, 71278}, {765, 2346}, {894, 71868}, {1026, 31333}, {2293, 17263}, {3759, 71958}, {3957, 16669}, {4068, 16494}, {7321, 59217}, {17277, 70811}, {58608, 69039}, {62863, 64561}

X(72178) = X(1)X(190)∩X(2)X(70811)

X(72178) lies on these lines: {1, 190}, {2, 70811}, {6, 71961}, {37, 71652}, {44, 3957}, {100, 64554}, {239, 71958}, {354, 71673}, {1001, 3786}, {1621, 22275}, {2234, 29820}, {2293, 17317}, {3870, 17335}, {4005, 15254}, {4335, 48629}, {4343, 16706}, {4360, 55340}, {4666, 41847}, {4670, 29817}, {17394, 64681}, {20179, 45223}, {37756, 59217}

X(72179) = X(1)X(71962)∩X(2)X(71975)

X(72179) lies on these lines: {1, 71962}, {2, 71975}, {10, 70707}, {76, 27304}, {1016, 32008}, {1107, 16712}, {1573, 70563}, {1909, 71960}, {3244, 17263}, {4875, 20924}, {17030, 24735}, {17143, 70838}, {26965, 69523}, {30109, 33297}, {37686, 71955}, {69044, 69868}, {71586, 71957}, {71959, 71966}

X(72180) = X(1)X(71962)∩X(2)X(668)

X(72180) lies on these lines: {1, 71962}, {2, 668}, {75, 70838}, {350, 71959}, {519, 17263}, {4699, 48864}, {6666, 49774}, {16819, 70559}, {17117, 70158}, {17143, 68971}, {17277, 22008}, {17337, 40859}, {17352, 30116}, {17684, 71781}, {24735, 27255}, {28604, 48860}, {29966, 33297}, {31456, 33825}, {31488, 33837}, {37686, 71952}, {71586, 71956}

X(72181) = X(1)X(87)∩X(6)X(71868)

X(72181) lies on these lines: {1, 87}, {6, 71868}, {9, 3935}, {45, 70811}, {899, 17338}, {1278, 55340}, {1742, 17312}, {2293, 17242}, {3240, 26685}, {3811, 72051}, {3957, 50127}, {4335, 17291}, {4343, 17368}, {17121, 71963}, {17260, 67097}, {17363, 71278}, {21371, 35445}, {27147, 30950}, {29572, 35338}, {35892, 62235}, {68876, 70815}

X(72181) = {X(71868),X(71958)}-harmonic conjugate of X(6)

X(72182) = X(1)X(4704)∩X(2)X(60785)

X(72182) lies on these lines: {1, 4704}, {2, 60785}, {6, 71961}, {192, 55340}, {239, 71963}, {1743, 3957}, {2293, 17244}, {4343, 17367}, {14621, 45223}, {16497, 22167}, {17259, 70811}, {17364, 71278}, {34772, 66515}, {48627, 59217}

X(72183) = X(1)X(4681)∩X(524)X(71278)

X(72183) lies on these lines: {1, 4681}, {524, 71278}, {536, 55340}, {1742, 17313}, {2293, 17243}, {3589, 4343}, {3870, 16885}, {4335, 17290}, {4891, 17194}, {7263, 59217}, {16679, 58620}, {17120, 71868}, {17121, 71958}, {17260, 70811}, {30044, 68989}, {41313, 64739}

X(72183) = {X(71868),X(71961)}-harmonic conjugate of X(17120)

X(72184) = X(2)X(32)∩X(21)X(71959)

X(72184) lies on these lines: {2, 32}, {21, 71959}, {35, 17264}, {183, 29479}, {536, 30167}, {662, 17346}, {2975, 71960}, {3216, 68966}, {6179, 33830}, {7755, 33831}, {7780, 33826}, {7835, 17007}, {7856, 56782}, {17297, 29473}, {17549, 70838}, {17744, 72110}, {21937, 69528}, {27109, 43459}, {33816, 35007}, {33836, 63935}, {46922, 70471}

X(72184) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 32, 71870}, {2, 71870, 71969}, {32, 71968, 71970}, {32, 71970, 71969}, {6179, 33830, 33955}, {71870, 71970, 2}

X(72185) = X(2)X(37)∩X(7)X(3770)

X(72185) lies on these lines: {2, 37}, {7, 3770}, {8, 4553}, {43, 64869}, {76, 1086}, {141, 3596}, {313, 3662}, {314, 4361}, {320, 3765}, {330, 16726}, {335, 58027}, {341, 49515}, {354, 70501}, {518, 4737}, {561, 35533}, {594, 70251}, {599, 668}, {646, 17269}, {693, 30635}, {714, 982}, {726, 4125}, {740, 995}, {889, 34363}, {984, 3992}, {1089, 24174}, {1100, 70467}, {1227, 31349}, {1230, 33146}, {1266, 4044}, {1269, 48627}, {1376, 70487}, {1909, 4675}, {1921, 33934}, {1930, 3061}, {2228, 71578}, {3264, 3661}, {3696, 3880}, {3701, 49447}, {3729, 69029}, {3761, 6173}, {3812, 4385}, {3834, 4377}, {3863, 44187}, {3948, 4389}, {3963, 17234}, {3975, 4643}, {4033, 17230}, {4095, 33937}, {4110, 17229}, {4364, 30830}, {4391, 69535}, {4393, 30939}, {4411, 30520}, {4419, 28809}, {4487, 49450}, {4494, 17284}, {4670, 70462}, {4673, 45219}, {4692, 31178}, {4696, 49499}, {4710, 33087}, {4714, 64176}, {4719, 49462}, {4723, 50075}, {4734, 69558}, {4741, 65161}, {4742, 49470}, {5435, 65577}, {5695, 54333}, {6335, 11331}, {6374, 40088}, {6376, 17237}, {6381, 50092}, {6383, 6385}, {7232, 44139}, {7263, 53478}, {7283, 19238}, {10009, 35101}, {10447, 20174}, {10453, 44671}, {16374, 54410}, {16729, 24616}, {16732, 33930}, {16969, 17119}, {17126, 69489}, {17148, 27017}, {17178, 71945}, {17227, 52043}, {17231, 17786}, {17232, 18040}, {17235, 70247}, {17236, 18133}, {17238, 56249}, {17250, 59212}, {17291, 18044}, {17325, 18140}, {17360, 25298}, {17362, 34282}, {17365, 34283}, {17374, 24524}, {17392, 64133}, {18080, 20906}, {19241, 50044}, {19550, 29010}, {20037, 28581}, {20432, 21418}, {20594, 53526}, {20888, 71952}, {20893, 21443}, {20896, 64967}, {20900, 27474}, {21238, 41886}, {23978, 26528}, {24166, 24195}, {24182, 43224}, {24325, 30116}, {24351, 57024}, {24358, 52652}, {24456, 68942}, {27107, 62636}, {27145, 71948}, {27488, 27490}, {27494, 40039}, {27538, 58642}, {27950, 30882}, {28654, 33172}, {29814, 69519}, {30112, 71621}, {30596, 48629}, {30710, 37674}, {30947, 64552}, {31060, 39995}, {32925, 70161}, {33940, 70504}, {40012, 60264}, {41232, 49481}, {42313, 57984}, {42697, 70500}, {49474, 49997}, {49993, 50117}, {50120, 70809}, {53543, 69257}, {58379, 58644}, {58679, 70499}, {59565, 69624}, {62872, 71457}, {70514, 71627}, {70689, 71650}, {71928, 71958}

X(72185) = midpoint of X(75) and X(312)
X(72185) = reflection of X(3752) in X(3739)
X(72185) = isotomic conjugate of X(60871)
X(72185) = isotomic conjugate of the isogonal conjugate of X(16975)
X(72185) = X(69512)-cross conjugate of X(30942)
X(72185) = X(i)-isoconjugate of X(j) for these (i,j): {31, 60871}, {32, 56166}, {560, 56129}
X(72185) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 60871}, {6374, 56129}, {6376, 56166}, {16975, 37540}, {30942, 54981}
X(72185) = barycentric product X(i)*X(j) for these {i,j}: {75, 30942}, {76, 16975}, {274, 69512}, {561, 71872}, {668, 69373}, {6385, 69511}, {6386, 69102}
X(72185) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 60871}, {75, 56166}, {76, 56129}, {16975, 6}, {30942, 1}, {69102, 667}, {69373, 513}, {69509, 1919}, {69510, 1918}, {69511, 213}, {69512, 37}, {71872, 31}
X(72185) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17790, 60861}, {75, 4043, 1278}, {75, 18137, 192}, {75, 20891, 70852}, {75, 20923, 37}, {75, 30090, 3739}, {141, 3596, 30473}, {313, 3662, 18144}, {3834, 4377, 20917}, {17279, 17787, 29542}, {20891, 20892, 75}, {30939, 70477, 4393}

X(72186) = X(1)X(27040)∩X(8)X(9)

X(72186) lies on these lines: {1, 27040}, {8, 9}, {10, 17756}, {35, 62426}, {75, 71953}, {76, 30036}, {141, 71883}, {145, 21071}, {274, 71954}, {312, 2170}, {341, 33299}, {519, 37657}, {996, 16785}, {1015, 30957}, {1146, 3703}, {1213, 2277}, {1572, 32930}, {1573, 21838}, {1655, 17247}, {1909, 17234}, {2275, 21025}, {2549, 32948}, {3061, 3701}, {3117, 71578}, {3125, 17155}, {3501, 26770}, {3632, 21070}, {3684, 49492}, {3702, 4051}, {3705, 21044}, {3714, 4875}, {3729, 69028}, {3735, 32925}, {3761, 30109}, {3765, 3936}, {3871, 70946}, {3877, 3985}, {3899, 4115}, {3930, 4737}, {3975, 5233}, {4054, 30059}, {4095, 25082}, {4385, 17451}, {4427, 41319}, {4441, 49774}, {4534, 6057}, {4696, 69284}, {4856, 67976}, {4904, 69439}, {5313, 70478}, {5839, 69583}, {7283, 69240}, {9263, 31028}, {9346, 71919}, {10327, 24247}, {10449, 71965}, {10459, 70557}, {11319, 70466}, {16975, 30942}, {17033, 63051}, {17050, 30057}, {17137, 56025}, {17238, 41838}, {17240, 24524}, {17751, 21384}, {17763, 69216}, {18135, 30038}, {20606, 64575}, {21281, 56024}, {24199, 30030}, {25590, 50155}, {25591, 70533}, {25957, 69098}, {26035, 59311}, {26242, 70433}, {27424, 28660}, {28809, 62297}, {29577, 39360}, {31130, 46180}, {31449, 32918}, {31997, 71950}, {32092, 71955}, {32104, 71951}, {32847, 51280}, {33931, 49755}, {35957, 71750}, {37716, 69266}, {39244, 46937}, {48863, 70544}, {50079, 63037}, {52716, 71952}, {54331, 70550}, {54354, 70490}, {59305, 63055}

X(72186) = X(i)-isoconjugate of X(j) for these (i,j): {56, 60871}, {604, 56166}, {1397, 56129}
X(72186) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 60871}, {3161, 56166}, {62585, 56129}
X(72186) = barycentric product X(i)*X(j) for these {i,j}: {8, 30942}, {312, 16975}, {333, 69512}, {3596, 71872}, {3699, 69373}, {28660, 69511}, {40072, 69510}
X(72186) = barycentric quotient X(i)/X(j) for these {i,j}: {8, 56166}, {9, 60871}, {312, 56129}, {16975, 57}, {30942, 7}, {69102, 43924}, {69373, 3676}, {69509, 57181}, {69510, 1402}, {69511, 1400}, {69512, 226}, {71872, 56}
X(72186) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 27523, 1334}, {8, 71487, 70157}, {1146, 3703, 4165}, {3761, 30109, 30949}, {16975, 69512, 30942}

X(72187) = X(30)X(511)∩X(649)X(70945)

X(72187) lies on these lines: {30, 511}, {649, 70945}, {650, 22092}, {659, 17496}, {665, 2490}, {693, 23765}, {764, 1577}, {905, 48561}, {1491, 4462}, {1639, 69101}, {2530, 3762}, {2533, 48151}, {3250, 14321}, {3669, 4874}, {3700, 23751}, {3716, 69347}, {3766, 57244}, {3777, 3837}, {3801, 20515}, {3835, 48137}, {3904, 69345}, {3960, 69328}, {4010, 48334}, {4040, 48289}, {4063, 69312}, {4122, 23764}, {4147, 50335}, {4367, 21222}, {4378, 69320}, {4449, 69336}, {4474, 69362}, {4490, 48410}, {4498, 69315}, {4724, 69349}, {4791, 23815}, {4801, 48392}, {4806, 48131}, {4807, 23795}, {4808, 66995}, {4879, 53343}, {4897, 71613}, {4905, 69363}, {4922, 48150}, {4992, 48267}, {6385, 52619}, {7178, 58375}, {14419, 47817}, {14431, 48556}, {16892, 21128}, {21052, 36848}, {21118, 48326}, {21120, 24093}, {21146, 23738}, {21302, 58374}, {21385, 69317}, {23780, 47672}, {23789, 71070}, {24097, 49275}, {24533, 47890}, {26148, 47652}, {30725, 48299}, {40627, 69562}, {44550, 45314}, {45340, 45664}, {47694, 48323}, {47708, 70949}, {47793, 47829}, {47796, 47872}, {47835, 48229}, {47841, 48183}, {47913, 47993}, {47918, 48002}, {47922, 48010}, {47970, 48288}, {47996, 48609}, {48043, 48129}, {48063, 48330}, {48083, 69353}, {48144, 69305}, {48264, 48279}, {48278, 53533}, {48282, 48305}, {48298, 48336}, {48320, 69303}, {48325, 48331}, {48332, 59590}, {48400, 69358}, {50512, 70479}, {50556, 69732}, {52601, 70546}, {54249, 68794}, {59589, 69504}, {59672, 69348}, {69310, 69311}, {69364, 69366}, {69372, 69374}

X(72187) = crossdifference of every pair of points on line {6, 23433}
X(72187) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {764, 1577, 48406}, {1491, 4462, 48401}, {2530, 3762, 21051}, {3669, 70534, 4874}, {3777, 4391, 3837}, {3837, 4391, 59521}, {4367, 69323, 48248}, {4449, 69336, 71455}, {21222, 69323, 4367}, {47793, 47893, 47829}, {47796, 47872, 48206}, {48131, 48265, 4806}, {48267, 48335, 4992}

X(72188) = X(8)X(9)∩X(10)X(39)

X(72188) lies on these lines: {1, 70468}, {8, 9}, {10, 39}, {55, 70946}, {76, 20257}, {142, 1909}, {226, 3765}, {257, 49521}, {306, 25298}, {312, 4051}, {341, 3061}, {515, 20606}, {519, 2176}, {527, 21281}, {668, 29960}, {726, 3959}, {1015, 46827}, {1146, 4136}, {1212, 4095}, {1266, 20081}, {1278, 41781}, {1738, 9902}, {2170, 3701}, {2295, 50115}, {2300, 3780}, {2329, 71492}, {3008, 24735}, {3057, 3985}, {3244, 20970}, {3452, 3975}, {3509, 9369}, {3596, 20258}, {3625, 21070}, {3662, 21219}, {3703, 4167}, {3727, 3971}, {3734, 71474}, {3761, 17050}, {3831, 16975}, {3840, 17448}, {3912, 24524}, {3950, 4263}, {4006, 4738}, {4071, 71275}, {4082, 23638}, {4119, 40997}, {4168, 10950}, {4357, 41838}, {4696, 17451}, {4723, 33299}, {4737, 69284}, {4848, 56556}, {4858, 20436}, {4871, 63493}, {5257, 62214}, {5750, 59311}, {6376, 30038}, {6686, 25610}, {6734, 27397}, {7275, 17065}, {7751, 71475}, {8715, 62426}, {10459, 70463}, {14951, 20955}, {16583, 70433}, {17197, 28660}, {17353, 17752}, {17362, 69583}, {17760, 33938}, {20255, 24215}, {20335, 30036}, {20340, 52655}, {20352, 53129}, {20888, 71951}, {21021, 21332}, {21139, 21432}, {21240, 71879}, {21384, 71965}, {21951, 24165}, {22066, 61235}, {24656, 29571}, {25612, 62711}, {29968, 64133}, {30057, 30949}, {30063, 31997}, {30957, 63499}, {31490, 32916}, {33937, 46180}, {33939, 35957}, {34284, 71953}, {38408, 68729}, {39244, 52353}, {49529, 71830}, {50092, 71883}, {50604, 70478}, {50608, 69512}, {56024, 69028}, {62684, 69276}, {70470, 70974}

X(72188) = midpoint of X(21281) and X(56025)
X(72188) = reflection of X(24215) in X(20255)
X(72188) = X(20892)-Ceva conjugate of X(3840)
X(72188) = X(i)-isoconjugate of X(j) for these (i,j): {57, 57400}, {604, 32011}, {1408, 56197}, {1412, 56256}
X(72188) = X(i)-Dao conjugate of X(j) for these (i,j): {3123, 43051}, {3161, 32011}, {3840, 1423}, {5452, 57400}, {40599, 56256}, {59577, 56197}, {59676, 57}, {63481, 7}
X(72188) = crosspoint of X(8) and X(27424)
X(72188) = crosssum of X(56) and X(41526)
X(72188) = barycentric product X(i)*X(j) for these {i,j}: {8, 3840}, {9, 20892}, {312, 17448}, {314, 22167}, {333, 21025}, {522, 61183}, {2321, 17178}, {3596, 22343}, {3701, 18192}, {3703, 18102}, {4391, 61235}, {7017, 22066}, {27424, 63481}
X(72188) = barycentric quotient X(i)/X(j) for these {i,j}: {8, 32011}, {55, 57400}, {210, 56256}, {2321, 56197}, {3840, 7}, {17178, 1434}, {17448, 57}, {18192, 1014}, {20892, 85}, {21025, 226}, {22066, 222}, {22167, 65}, {22343, 56}, {61183, 664}, {61235, 651}, {63481, 1423}
X(72188) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 346, 4050}, {8, 27523, 3208}, {8, 71487, 2321}, {76, 49774, 20257}, {1909, 30030, 142}, {2325, 3686, 4266}, {3208, 27523, 2325}, {3765, 30059, 226}, {4696, 17451, 21101}, {17448, 21025, 3840}, {33938, 49755, 17760}

X(72189) = X(2)X(37)∩X(76)X(7263)

X(72189) lies on these lines: {2, 37}, {76, 7263}, {141, 70251}, {304, 62370}, {313, 48627}, {314, 17119}, {335, 40018}, {341, 28582}, {646, 17267}, {668, 7232}, {1086, 3596}, {3264, 3662}, {3729, 29380}, {3765, 7321}, {3770, 42697}, {3834, 17786}, {3948, 4398}, {3975, 17276}, {3992, 49517}, {4033, 17232}, {4110, 17231}, {4361, 21785}, {4399, 34282}, {4411, 18071}, {4494, 4859}, {4670, 70467}, {4723, 49501}, {4777, 29427}, {4941, 68942}, {6376, 17235}, {6383, 40088}, {7155, 64523}, {7228, 34283}, {10179, 70499}, {16727, 30638}, {17236, 56249}, {17246, 30830}, {17249, 59212}, {17323, 18140}, {17350, 64558}, {17361, 25298}, {17376, 24524}, {17379, 70477}, {17755, 29497}, {21443, 71955}, {24046, 64873}, {24351, 64524}, {27107, 71948}, {29400, 33937}, {32937, 64550}, {46937, 49523}, {48629, 52043}, {59761, 72001}

X(72189) = midpoint of X(75) and X(20923)
X(72189) = isotomic conjugate of the isogonal conjugate of X(71975)
X(72189) = barycentric product X(i)*X(j) for these {i,j}: {75, 30957}, {76, 71975}
X(72189) = barycentric quotient X(i)/X(j) for these {i,j}: {30957, 1}, {71975, 6}
X(72189) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 312, 4686}, {75, 4043, 4740}, {75, 18137, 1278}, {75, 30090, 37}, {1086, 3596, 18144}, {3264, 3662, 30473}

X(72190) = X(1)X(70944)∩X(10)X(37)

X(72190) lies on these lines: {1, 70944}, {10, 37}, {43, 25620}, {76, 20892}, {386, 25610}, {712, 33932}, {1015, 46827}, {1089, 21951}, {1573, 3831}, {1574, 71487}, {3125, 3701}, {3661, 65037}, {3698, 70551}, {3721, 3992}, {3735, 46937}, {3753, 70533}, {3780, 49999}, {3836, 69175}, {3912, 37663}, {3918, 70545}, {3934, 30030}, {3954, 52353}, {3968, 70539}, {3985, 69249}, {3987, 4037}, {4002, 70528}, {4011, 69232}, {4358, 69244}, {6376, 17227}, {6381, 20255}, {9466, 17050}, {9534, 25612}, {16604, 49993}, {17279, 29400}, {20943, 24190}, {21241, 39565}, {21264, 71955}, {21432, 52626}, {21435, 27808}, {24656, 71949}, {24735, 29455}, {27076, 29960}, {29968, 69136}, {29982, 48634}, {30059, 30819}, {30114, 58452}, {30957, 71975}, {48640, 69625}, {49774, 69256}, {59311, 71483}, {60244, 60288}

X(72190) = barycentric product X(i)*X(j) for these {i,j}: {10, 30957}, {321, 71975}
X(72190) = barycentric quotient X(i)/X(j) for these {i,j}: {30957, 86}, {71975, 81}
X(72190) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {10, 21025, 69512}, {10, 21070, 21868}, {10, 21071, 52959}, {10, 68938, 20691}, {10, 69512, 69621}, {3125, 3701, 22036}

X(72191) = X(30)X(511)∩X(667)X(21222)

X(72191) lies on these lines: {30, 511}, {667, 21222}, {764, 4391}, {1019, 70945}, {1577, 23765}, {2530, 4462}, {3669, 48564}, {3762, 3777}, {3960, 31288}, {4129, 48137}, {4378, 69323}, {4498, 69312}, {4791, 48406}, {4922, 48111}, {8689, 58150}, {14419, 47815}, {14431, 47819}, {21132, 69375}, {21138, 24196}, {21385, 69315}, {23738, 50352}, {23764, 48278}, {24097, 69345}, {47929, 48288}, {47970, 69349}, {48063, 48328}, {48065, 48289}, {48066, 48401}, {48098, 68962}, {48151, 69363}, {48248, 48343}, {48265, 48335}, {48267, 48334}, {48272, 53533}, {48282, 69336}, {48298, 48351}, {48320, 69305}, {48323, 69320}, {48333, 53343}, {48341, 69303}, {48346, 59590}, {52601, 70534}, {59672, 69347}

X(72191) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {764, 4391, 23815}, {3762, 3777, 21260}

X(72192) = X(1)X(70478)∩X(8)X(9)

X(72192) lies on these lines: {1, 70478}, {8, 9}, {21, 70946}, {341, 2170}, {668, 30036}, {672, 71965}, {996, 70538}, {1909, 71953}, {3061, 4723}, {3621, 21071}, {3633, 68938}, {3701, 4051}, {3760, 57038}, {3761, 71951}, {3780, 50131}, {3885, 3985}, {4677, 21070}, {4737, 17451}, {6542, 26688}, {9336, 49993}, {9369, 69242}, {10469, 59311}, {17241, 24524}, {25278, 29960}, {25296, 29986}, {25303, 71950}, {25612, 28257}, {27040, 59310}, {28244, 31339}, {30957, 71975}, {31330, 69511}, {32925, 69244}, {33299, 44720}, {33932, 35957}, {41418, 67976}, {46827, 63499}, {48696, 62426}, {49741, 71883}, {56025, 69028}, {64133, 71954}, {70480, 70974}

X(72192) = barycentric product X(i)*X(j) for these {i,j}: {8, 30957}, {312, 71975}
X(72192) = barycentric quotient X(i)/X(j) for these {i,j}: {30957, 7}, {71975, 57}

X(72193) = X(2)X(37)∩X(6)X(17143)

X(72193) lies on these lines: {2, 37}, {6, 17143}, {8, 3770}, {9, 20174}, {76, 594}, {274, 16777}, {313, 48628}, {314, 4363}, {518, 70499}, {726, 42031}, {872, 32860}, {984, 4647}, {1100, 17144}, {1213, 70253}, {1218, 32018}, {1269, 3661}, {1909, 17299}, {1930, 51058}, {2242, 59631}, {2321, 20888}, {2667, 32771}, {3247, 32092}, {3293, 22316}, {3596, 4665}, {3696, 4385}, {3703, 21926}, {3723, 31997}, {3760, 59772}, {3761, 4007}, {3765, 5564}, {3842, 28612}, {3891, 70558}, {3923, 71139}, {3966, 70502}, {3967, 58655}, {3975, 28634}, {4022, 17155}, {4044, 4967}, {4110, 4377}, {4360, 70943}, {4393, 70472}, {4410, 17372}, {4411, 29808}, {4415, 34258}, {4445, 44139}, {4659, 10447}, {4673, 49478}, {4692, 49459}, {4717, 49479}, {4777, 21438}, {4851, 60730}, {4852, 70462}, {4968, 49470}, {5069, 26801}, {5224, 60736}, {5839, 20109}, {6358, 7201}, {6382, 6385}, {10453, 13476}, {10471, 56023}, {15624, 32932}, {16709, 29570}, {16884, 70809}, {17229, 20917}, {17230, 18143}, {17233, 20913}, {17238, 39995}, {17239, 70247}, {17314, 34284}, {17347, 64912}, {17362, 34283}, {17365, 34282}, {17388, 64133}, {17524, 50044}, {17754, 29758}, {17786, 70260}, {18133, 29593}, {18697, 49507}, {20943, 59514}, {21238, 46032}, {22271, 32937}, {23685, 28898}, {24552, 70562}, {25508, 71976}, {27479, 27490}, {29807, 64866}, {30596, 62228}, {31060, 56249}, {33935, 49509}, {33941, 70504}, {40023, 40025}, {40607, 59296}, {42696, 70500}, {48630, 52043}, {49483, 64546}, {49493, 70437}, {55184, 64859}, {56210, 56250}, {58693, 59577}

X(72193) = isotomic conjugate of the isogonal conjugate of X(71976)
X(72193) = X(39983)-Ceva conjugate of X(30473)
X(72193) = X(53112)-isoconjugate of X(57657)
X(72193) = X(62570)-Dao conjugate of X(53112)
X(72193) = barycentric product X(i)*X(j) for these {i,j}: {75, 26037}, {76, 71976}, {321, 25508}
X(72193) = barycentric quotient X(i)/X(j) for these {i,j}: {1441, 53112}, {25508, 81}, {26037, 1}, {71976, 6}
X(72193) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 69635, 29802}, {9, 32104, 20174}, {75, 312, 3739}, {75, 321, 70852}, {75, 4043, 2}, {75, 4687, 4359}, {75, 18137, 4699}, {75, 20923, 4688}, {75, 30090, 4739}, {75, 42034, 20923}, {76, 594, 30473}, {192, 28605, 75}, {1269, 3661, 18144}, {4359, 22016, 4687}, {4665, 53478, 3596}, {4671, 4699, 18137}

X(72194) = X(10)X(37)∩X(76)X(48628)

X(72194) lies on these lines: {8, 17750}, {10, 37}, {76, 48628}, {213, 4651}, {321, 762}, {1334, 62646}, {1506, 21242}, {1574, 3741}, {2276, 70159}, {3214, 52538}, {3501, 3679}, {3617, 27523}, {3661, 4359}, {3697, 70528}, {3701, 52579}, {3721, 4714}, {3726, 28611}, {3730, 17275}, {3739, 40006}, {3921, 70533}, {3956, 70539}, {3983, 70551}, {4060, 35633}, {4377, 4665}, {4431, 69255}, {4540, 70545}, {4647, 22036}, {4685, 20970}, {4688, 17758}, {4770, 21958}, {5278, 69229}, {5564, 17034}, {6048, 71483}, {6376, 62228}, {6539, 71614}, {12782, 67979}, {16828, 60724}, {17117, 70563}, {17147, 29593}, {17228, 24190}, {17268, 71962}, {17293, 30107}, {20255, 48636}, {20683, 70516}, {21904, 70473}, {26037, 71976}, {28612, 49509}, {29615, 33297}, {32087, 70561}, {32945, 69212}, {48630, 69625}, {49772, 50012}, {50581, 59772}, {56810, 60736}, {59219, 69295}, {62878, 65022}

X(72194) = X(2150)-isoconjugate of X(53112)
X(72194) = X(56325)-Dao conjugate of X(53112)
X(72194) = barycentric product X(i)*X(j) for these {i,j}: {10, 26037}, {321, 71976}, {594, 25508}
X(72194) = barycentric quotient X(i)/X(j) for these {i,j}: {12, 53112}, {25508, 1509}, {26037, 86}, {71976, 81}
X(72194) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {10, 594, 69621}, {10, 2321, 16589}, {10, 4058, 21071}, {10, 68938, 25614}, {10, 69621, 69512}, {594, 56953, 2321}, {3661, 70253, 21240}

X(72195) = X(10)X(48127)∩X(30)X(511)

X(72195) lies on these lines: {10, 48127}, {30, 511}, {650, 31288}, {661, 48273}, {663, 47926}, {665, 45745}, {667, 17166}, {693, 4705}, {764, 48410}, {876, 70949}, {1491, 4978}, {1577, 4490}, {1734, 21146}, {2530, 4801}, {3250, 4988}, {3762, 48392}, {3766, 47656}, {3777, 48409}, {3835, 48005}, {3837, 48012}, {4010, 47959}, {4040, 48301}, {4041, 47672}, {4106, 47956}, {4129, 47967}, {4147, 71070}, {4170, 48024}, {4369, 50504}, {4378, 4560}, {4379, 47837}, {4382, 47912}, {4391, 48393}, {4449, 48288}, {4498, 48142}, {4608, 58301}, {4724, 48305}, {4730, 47675}, {4770, 17072}, {4782, 70474}, {4791, 48401}, {4794, 71455}, {4804, 47918}, {4806, 47997}, {4808, 47690}, {4822, 47917}, {4823, 21051}, {4824, 14349}, {4834, 7192}, {4874, 48003}, {4885, 65449}, {4893, 47839}, {4905, 50341}, {4913, 69314}, {4932, 58179}, {4948, 47893}, {4983, 47666}, {4992, 48002}, {7662, 47965}, {20906, 52619}, {21124, 47704}, {21301, 26824}, {21348, 52592}, {21385, 69305}, {21832, 48275}, {23770, 48402}, {23789, 50335}, {24719, 47948}, {26985, 31251}, {30592, 48549}, {31149, 47869}, {31150, 47820}, {39547, 46385}, {43067, 50501}, {45746, 47720}, {47679, 47716}, {47683, 48282}, {47711, 60344}, {47715, 69367}, {47763, 58181}, {47775, 47840}, {47776, 58144}, {47780, 47836}, {47793, 47834}, {47794, 47833}, {47795, 47827}, {47796, 47825}, {47815, 48237}, {47816, 48184}, {47817, 48234}, {47818, 48226}, {47819, 48175}, {47828, 48569}, {47829, 48218}, {47832, 48553}, {47835, 48238}, {47838, 48162}, {47841, 48176}, {47909, 48121}, {47920, 50508}, {47921, 70552}, {47927, 48367}, {47928, 48123}, {47932, 50523}, {47934, 48131}, {47946, 48081}, {47949, 48080}, {47953, 48091}, {47962, 48099}, {47964, 48093}, {47969, 48351}, {47970, 69336}, {47993, 48045}, {47994, 48043}, {47996, 48053}, {48000, 50507}, {48008, 50512}, {48010, 48059}, {48030, 69359}, {48066, 48406}, {48098, 50337}, {48133, 50499}, {48141, 50509}, {48143, 50355}, {48144, 69317}, {48196, 48206}, {48220, 48561}, {48253, 48573}, {48274, 48395}, {48284, 48330}, {48287, 48289}, {48295, 69354}, {48304, 48333}, {48320, 69315}, {48321, 48323}, {48326, 69368}, {48336, 48339}, {48341, 69312}, {48394, 71071}, {48404, 68901}, {48408, 69308}, {48563, 72064}, {48577, 58178}, {48618, 59590}, {49292, 69310}, {50457, 69363}, {53585, 57050}, {54265, 69309}, {55282, 69374}

X(72195) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {650, 52601, 31288}, {693, 4705, 21260}, {1491, 4978, 23815}, {4041, 47672, 50352}, {4382, 47912, 69304}, {4490, 48120, 1577}, {4498, 48142, 69303}, {4801, 47975, 2530}, {4804, 47918, 48267}, {4824, 48279, 14349}, {4978, 48407, 1491}, {4992, 48002, 48054}, {7662, 47965, 69328}, {17166, 17494, 667}, {21124, 47704, 69375}, {45746, 47720, 69357}, {47679, 47716, 69355}, {47683, 48282, 69349}, {47793, 47834, 47875}, {47796, 47825, 47888}, {47827, 47889, 47795}, {47928, 48123, 50449}, {47967, 48090, 4129}, {48000, 69339, 50507}, {48010, 69360, 48059}

X(72196) = X(8)X(9)∩X(10)X(9331)

X(72196) lies on these lines: {8, 9}, {10, 9331}, {32, 71451}, {41, 3996}, {594, 31339}, {762, 64178}, {1043, 4390}, {1500, 31330}, {1574, 30957}, {2295, 17299}, {2340, 70517}, {3061, 3902}, {3247, 19874}, {3501, 17135}, {3617, 21071}, {3679, 21070}, {3706, 4515}, {3780, 17281}, {3930, 70499}, {4046, 4517}, {4110, 28660}, {4431, 34284}, {4433, 69089}, {4461, 36854}, {4673, 33299}, {5277, 71917}, {14974, 32864}, {16549, 50625}, {17137, 17294}, {17151, 26978}, {17233, 29966}, {17286, 26965}, {17314, 59305}, {17362, 71454}, {17756, 50608}, {20911, 49507}, {26037, 71976}, {27040, 59294}, {27253, 32087}, {27368, 69214}, {30949, 32104}, {32941, 69211}, {32945, 54416}, {41239, 71929}, {50107, 56024}, {55076, 56087}, {69212, 71452}

X(72196) = X(1333)-isoconjugate of X(53112)
X(72196) = X(37)-Dao conjugate of X(53112)
X(72196) = barycentric product X(i)*X(j) for these {i,j}: {8, 26037}, {312, 71976}, {2321, 25508}
X(72196) = barycentric quotient X(i)/X(j) for these {i,j}: {10, 53112}, {25508, 1434}, {26037, 7}, {71976, 57}
X(72196) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 346, 3691}, {8, 2321, 70157}, {3208, 4007, 8}, {32104, 40006, 30949}

X(72197) = X(10)X(58)∩X(55)X(145)

X(72197) lies on these lines: {1, 71913}, {2, 41002}, {6, 71477}, {8, 4252}, {10, 58}, {12, 20077}, {31, 14829}, {35, 56018}, {42, 41629}, {43, 71915}, {44, 5205}, {55, 145}, {63, 3769}, {81, 29822}, {86, 32917}, {88, 68958}, {100, 3286}, {101, 70119}, {110, 70488}, {190, 896}, {193, 5218}, {238, 4871}, {239, 1155}, {312, 1707}, {320, 3011}, {385, 4831}, {540, 17734}, {664, 1758}, {673, 70907}, {740, 65166}, {750, 17277}, {752, 33140}, {846, 34064}, {899, 4607}, {902, 32919}, {940, 1191}, {1001, 37684}, {1054, 4974}, {1150, 5263}, {1266, 50754}, {1326, 30606}, {1376, 37652}, {1386, 24627}, {1621, 37639}, {1733, 20920}, {1757, 3699}, {1897, 52414}, {1936, 2342}, {1961, 59624}, {1999, 4640}, {2177, 71924}, {2239, 37686}, {2308, 32918}, {2651, 19623}, {2886, 20101}, {2887, 41806}, {3035, 63002}, {3052, 10453}, {3218, 32922}, {3240, 71916}, {3550, 3632}, {3624, 37604}, {3635, 3750}, {3636, 4038}, {3684, 4700}, {3712, 6542}, {3741, 72016}, {3745, 38000}, {3758, 29828}, {3775, 72029}, {3791, 17596}, {3794, 22275}, {3840, 72020}, {3891, 67335}, {3943, 17735}, {3961, 49449}, {3962, 20359}, {4001, 33126}, {4023, 62989}, {4029, 60711}, {4042, 4678}, {4062, 4570}, {4080, 31301}, {4360, 4414}, {4362, 4650}, {4386, 5035}, {4388, 37646}, {4389, 69262}, {4413, 17349}, {4418, 9340}, {4421, 20012}, {4429, 24597}, {4432, 70219}, {4450, 33142}, {4641, 7081}, {4644, 47037}, {4645, 35466}, {4651, 4921}, {4655, 29658}, {4676, 36277}, {4683, 29683}, {4701, 71450}, {4702, 38473}, {4753, 5524}, {4781, 17162}, {4892, 25529}, {4946, 60714}, {4997, 49710}, {5030, 57017}, {5135, 67964}, {5204, 20036}, {5217, 20018}, {5221, 19851}, {5303, 20040}, {5361, 71979}, {5372, 24552}, {5432, 62998}, {5737, 70484}, {5744, 51192}, {5745, 33073}, {5847, 32851}, {6174, 63049}, {6646, 17602}, {6679, 33085}, {6690, 17778}, {7262, 29649}, {7292, 24593}, {8301, 30577}, {9350, 71920}, {9359, 70434}, {9362, 71751}, {9364, 70620}, {11110, 37559}, {11194, 20037}, {11680, 20064}, {16706, 61647}, {16823, 37520}, {16948, 17751}, {17018, 71914}, {17061, 26840}, {17127, 71980}, {17135, 71910}, {17160, 32845}, {17227, 29855}, {17264, 49990}, {17271, 72002}, {17273, 32775}, {17283, 72007}, {17295, 33156}, {17297, 29632}, {17305, 29636}, {17364, 17718}, {17593, 49477}, {17601, 49488}, {17719, 17770}, {17768, 37759}, {17772, 59665}, {18192, 71943}, {18201, 50023}, {19270, 62805}, {19723, 26038}, {19732, 19877}, {20045, 24841}, {20048, 71936}, {20290, 30831}, {21242, 72036}, {21747, 32944}, {21805, 43290}, {24715, 50755}, {25959, 31229}, {26227, 62795}, {26244, 60697}, {29665, 32859}, {29766, 38832}, {29824, 70834}, {29825, 32916}, {29827, 50300}, {30653, 71978}, {30832, 33082}, {30940, 65185}, {31330, 72019}, {31359, 37554}, {32773, 37642}, {32842, 51583}, {32864, 71926}, {32911, 71479}, {32913, 49491}, {32932, 49468}, {32949, 41878}, {33066, 66632}, {33068, 40940}, {33071, 59491}, {33078, 56520}, {33121, 63134}, {33309, 49999}, {35258, 49470}, {35445, 49495}, {37633, 71478}, {37660, 70419}, {41816, 72004}, {42028, 43223}, {42033, 59544}, {42047, 44446}, {44419, 61661}, {46922, 62846}, {49446, 67334}, {49680, 61153}, {49704, 51463}, {49712, 70841}, {50758, 63145}, {52352, 67976}, {54391, 62401}, {56009, 71921}, {57155, 62749}, {58443, 72010}, {59572, 63037}, {60423, 69263}, {61155, 71933}, {61330, 70465}, {62740, 69008}, {62849, 71919}, {68749, 68974}, {71637, 72073}

X(72197) = crosspoint of X(4600) and X(4607)
X(72197) = crosssum of X(i) and X(j) for these (i,j): {899, 10459}, {3122, 3768}
X(72197) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 37540, 71907}, {31, 14829, 32942}, {31, 30942, 71873}, {55, 37683, 71935}, {63, 3769, 32926}, {100, 16704, 71934}, {171, 333, 71981}, {171, 71489, 333}, {238, 71985, 25531}, {896, 17763, 190}, {902, 32919, 68969}, {1150, 17126, 5263}, {1376, 37652, 71931}, {1621, 37639, 71930}, {1757, 4434, 3699}, {3052, 10453, 71911}, {3550, 32853, 3996}, {4362, 4650, 32939}, {5372, 30652, 24552}, {14829, 71873, 30942}, {17127, 71984, 71980}, {20045, 62235, 24841}, {29824, 70834, 71864}, {30942, 71873, 32942}, {32845, 50756, 17160}, {37642, 63140, 32773}

X(72198) = X(1)X(3159)∩X(2)X(902)

X(72198) lies on these lines: {1, 3159}, {2, 902}, {6, 32943}, {8, 71920}, {31, 14829}, {38, 4676}, {42, 70481}, {43, 70483}, {55, 32944}, {81, 50300}, {100, 70942}, {149, 25453}, {171, 30957}, {192, 29819}, {226, 29638}, {238, 5278}, {312, 17469}, {497, 29631}, {516, 33125}, {519, 63074}, {595, 27631}, {614, 4418}, {726, 17024}, {748, 5263}, {750, 71980}, {752, 33172}, {899, 70485}, {908, 29848}, {1001, 1011}, {1008, 28356}, {1125, 1770}, {1191, 54331}, {1201, 4195}, {1211, 48810}, {1215, 62806}, {1279, 32771}, {1386, 32915}, {1621, 25496}, {1699, 29855}, {1836, 33123}, {2177, 71911}, {2308, 10453}, {2895, 50311}, {3052, 32918}, {3058, 3589}, {3218, 29668}, {3219, 29652}, {3240, 71918}, {3242, 32938}, {3243, 72098}, {3246, 31993}, {3434, 29850}, {3622, 68726}, {3681, 49473}, {3685, 17017}, {3702, 16478}, {3720, 70419}, {3741, 5361}, {3744, 32931}, {3750, 71909}, {3758, 62867}, {3771, 33107}, {3821, 29666}, {3840, 17126}, {3873, 4672}, {3914, 29852}, {3915, 13740}, {3920, 4011}, {3923, 7191}, {3938, 27064}, {3944, 26230}, {3971, 29815}, {3980, 7292}, {3989, 71524}, {4085, 34611}, {4358, 17716}, {4383, 32945}, {4387, 32928}, {4388, 24943}, {4425, 29648}, {4427, 17591}, {4430, 71521}, {4432, 28606}, {4450, 33174}, {4512, 29826}, {4514, 26061}, {4645, 29677}, {4649, 71928}, {4661, 71515}, {4685, 14997}, {4697, 64149}, {4857, 20083}, {4865, 33157}, {4914, 17359}, {4970, 17025}, {5014, 33159}, {5057, 26128}, {5192, 5255}, {5249, 29853}, {5266, 25591}, {5284, 50302}, {5294, 33120}, {5300, 68847}, {5315, 48863}, {5332, 71491}, {5695, 32924}, {6057, 51147}, {6327, 29637}, {6679, 11680}, {6682, 62838}, {6685, 61155}, {6693, 37720}, {7262, 46909}, {7290, 32914}, {8692, 19732}, {9350, 71907}, {10459, 17697}, {11115, 21214}, {11354, 16483}, {12047, 36505}, {16468, 17135}, {16469, 17156}, {16474, 48867}, {16477, 71936}, {16484, 19684}, {16706, 33094}, {17018, 71414}, {17122, 71982}, {17123, 71979}, {17124, 25531}, {17125, 71981}, {17184, 29660}, {17279, 33072}, {17280, 32854}, {17336, 42039}, {17353, 33117}, {17354, 33162}, {17355, 63075}, {17368, 29685}, {17597, 32940}, {17598, 32933}, {17599, 32936}, {17715, 46897}, {17721, 33119}, {17722, 33113}, {17763, 62834}, {17766, 29679}, {17777, 29838}, {18152, 52138}, {19750, 32864}, {20064, 33085}, {20101, 72007}, {21747, 37683}, {24210, 29636}, {24239, 35263}, {24295, 29667}, {24349, 29818}, {24542, 33111}, {24703, 32775}, {24725, 33124}, {25385, 29681}, {25957, 63979}, {26094, 37603}, {26098, 29632}, {26102, 70482}, {26139, 72046}, {27040, 70466}, {27065, 36480}, {27152, 30110}, {27163, 52680}, {27184, 29686}, {27643, 48811}, {28605, 50023}, {29634, 69173}, {29642, 33112}, {29654, 33134}, {29656, 31053}, {29672, 31019}, {29676, 56520}, {29687, 50289}, {29814, 33682}, {29816, 41839}, {29821, 32929}, {29824, 62841}, {29828, 62875}, {29831, 33152}, {29832, 33164}, {29836, 33144}, {29840, 33161}, {29844, 33170}, {29849, 59692}, {30036, 33816}, {30615, 50130}, {30653, 71489}, {30666, 71836}, {30950, 70484}, {31027, 70689}, {31136, 37652}, {31137, 37639}, {31241, 71476}, {31289, 72014}, {32774, 33095}, {32777, 32844}, {32783, 72040}, {32843, 33171}, {32860, 49484}, {32911, 32941}, {32916, 70834}, {32920, 41242}, {32935, 62814}, {32937, 67210}, {32946, 33173}, {33067, 64016}, {33069, 41011}, {33070, 33158}, {33071, 33156}, {33074, 49709}, {33096, 33122}, {33817, 71954}, {36534, 70742}, {37685, 42057}, {42041, 72053}, {42044, 49472}, {45222, 49469}, {49470, 71184}, {49506, 69296}, {50127, 62850}, {50316, 63009}, {50756, 70152}, {56009, 71908}, {56983, 59311}, {60714, 71912}, {61358, 68969}, {62815, 72094}, {62846, 71930}, {62849, 71864}, {62998, 71939}, {70160, 70558}, {71637, 72079}, {71983, 72024}, {72002, 72042}, {72003, 72036}, {72005, 72037}

X(72198) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 32930, 32925}, {31, 32942, 30942}, {171, 71978, 30957}, {238, 24552, 31330}, {748, 5263, 26037}, {2308, 10453, 71924}, {3920, 4011, 64178}, {3923, 7191, 17155}, {4383, 48805, 32945}, {4387, 38315, 32928}, {5263, 72020, 748}, {16468, 17135, 71923}, {24552, 72018, 238}, {24943, 72038, 4388}, {25531, 72019, 17124}, {29637, 72035, 6327}, {29824, 62841, 71919}, {32942, 71873, 31}, {33104, 72028, 2}, {33106, 72025, 2}, {33109, 72030, 2}, {71979, 72022, 17123}, {71980, 72016, 750}, {71982, 72017, 17122}, {71989, 72032, 2}, {71990, 72026, 2}, {71992, 72027, 2}, {71993, 72034, 2}, {72031, 72044, 2}

X(72199) = X(1)X(16347)∩X(2)X(2308)

X(72199) lies on these lines: {1, 16347}, {2, 2308}, {6, 32918}, {8, 37603}, {9, 70489}, {10, 5361}, {31, 14829}, {38, 3769}, {42, 37683}, {43, 16704}, {46, 27368}, {55, 32919}, {57, 32914}, {63, 17763}, {69, 29846}, {81, 32916}, {100, 32853}, {145, 37574}, {165, 17156}, {171, 1150}, {238, 30957}, {312, 896}, {320, 33127}, {321, 4650}, {333, 750}, {519, 5010}, {524, 5432}, {540, 7951}, {649, 21387}, {726, 67335}, {748, 71985}, {752, 11680}, {899, 37652}, {902, 10453}, {940, 32917}, {1155, 32860}, {1215, 62795}, {1376, 32864}, {1654, 72006}, {1707, 32930}, {1999, 4414}, {2177, 71935}, {2276, 50252}, {2319, 69074}, {2323, 56860}, {3011, 33069}, {3052, 32943}, {3187, 17596}, {3210, 50756}, {3218, 4362}, {3219, 29649}, {3240, 59679}, {3416, 33119}, {3550, 17135}, {3681, 4434}, {3720, 37684}, {3741, 5372}, {3750, 71933}, {3758, 31264}, {3761, 6629}, {3771, 32863}, {3772, 33067}, {3791, 4850}, {3840, 17127}, {3896, 17601}, {4001, 33065}, {4188, 59303}, {4189, 67976}, {4252, 54331}, {4357, 29847}, {4358, 7262}, {4388, 29662}, {4416, 17001}, {4418, 11679}, {4430, 71520}, {4438, 33078}, {4450, 33141}, {4640, 32915}, {4641, 32931}, {4645, 24892}, {4649, 71914}, {4651, 56010}, {4655, 33133}, {4660, 33142}, {4661, 70841}, {4683, 17720}, {5278, 17122}, {5311, 38000}, {5744, 33088}, {5745, 29643}, {5847, 29849}, {6327, 33140}, {6679, 33172}, {6682, 62807}, {6685, 37685}, {6686, 14997}, {7081, 32912}, {8616, 29824}, {9350, 71931}, {11269, 32947}, {14996, 43223}, {16552, 70491}, {16569, 19742}, {16570, 56082}, {16690, 29746}, {16825, 27003}, {17017, 24627}, {17018, 71922}, {17026, 70907}, {17063, 24593}, {17123, 71986}, {17124, 17277}, {17150, 17591}, {17184, 29658}, {17232, 29869}, {17300, 29661}, {17595, 32924}, {17605, 28570}, {17716, 46909}, {17719, 32859}, {17733, 56288}, {17770, 31053}, {17778, 29678}, {18141, 29851}, {19717, 29825}, {20045, 62865}, {20064, 33106}, {20101, 33104}, {21384, 70492}, {21747, 70481}, {23958, 24165}, {24597, 29850}, {25440, 64072}, {25453, 33086}, {25760, 37646}, {25957, 35466}, {25958, 50304}, {25960, 37634}, {26034, 29631}, {26102, 71478}, {26227, 32913}, {26840, 33143}, {27184, 29683}, {27538, 62659}, {28581, 63211}, {29635, 33083}, {29636, 54311}, {29640, 63056}, {29665, 33064}, {29674, 56520}, {29681, 49676}, {29690, 50289}, {29766, 62740}, {29826, 62842}, {29828, 62812}, {29845, 50295}, {29848, 49511}, {29852, 61647}, {29854, 54357}, {30652, 49482}, {30970, 70484}, {31237, 41806}, {31241, 70419}, {31339, 37522}, {32772, 37660}, {32846, 33113}, {32851, 32852}, {32855, 51583}, {32920, 62235}, {32926, 36263}, {32945, 37540}, {32948, 33137}, {32950, 33135}, {33068, 33128}, {33074, 33121}, {33079, 33114}, {33098, 37759}, {33120, 63134}, {33125, 40940}, {33131, 50755}, {33171, 37655}, {35258, 39594}, {37524, 64185}, {37653, 72002}, {38456, 70776}, {41629, 61358}, {42057, 61155}, {42058, 72035}, {49990, 56078}, {50292, 59547}, {56009, 71932}, {58443, 72000}, {60714, 71936}, {62815, 72067}, {62821, 71913}, {62849, 71930}, {69231, 70157}, {71637, 72085}

X(72199) = reflection of X(29849) in X(59491)
X(72199) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 37639, 71919}, {31, 14829, 30942}, {42, 37683, 71924}, {43, 16704, 71923}, {63, 17763, 32925}, {171, 1150, 31330}, {238, 71984, 30957}, {333, 750, 26037}, {899, 37652, 71920}, {902, 10453, 71452}, {3218, 4362, 17155}, {3219, 29649, 64178}, {3550, 17135, 71451}, {4001, 66632, 33065}, {5372, 17126, 3741}, {11269, 63140, 32947}, {16704, 71479, 43}, {26034, 37642, 29631}, {37683, 71477, 42}, {37684, 71476, 3720}, {50295, 63078, 29845}, {59679, 71925, 3240}

X(72200) = X(1)X(41629)∩X(2)X(41002)

X(72200) lies on these lines: {1, 41629}, {2, 41002}, {6, 59297}, {8, 3052}, {9, 3769}, {10, 72019}, {31, 333}, {42, 71915}, {43, 68966}, {44, 7081}, {55, 20012}, {63, 32922}, {75, 1707}, {81, 71478}, {86, 62841}, {100, 19742}, {145, 4428}, {171, 17277}, {190, 4362}, {238, 3840}, {239, 4640}, {319, 59692}, {524, 29839}, {748, 71985}, {752, 33138}, {846, 3791}, {896, 32914}, {902, 3996}, {1001, 37683}, {1043, 54354}, {1098, 56974}, {1150, 17127}, {1203, 19270}, {1376, 17349}, {1386, 38000}, {1621, 16704}, {1778, 70408}, {1999, 3683}, {2177, 71923}, {2238, 21792}, {2308, 32917}, {3011, 33066}, {3187, 62838}, {3219, 32926}, {3240, 63060}, {3550, 71926}, {3578, 33175}, {3720, 71913}, {3741, 71873}, {3749, 49450}, {3750, 71925}, {3757, 4641}, {3759, 17594}, {3775, 72026}, {3883, 33121}, {3923, 55095}, {3925, 20101}, {3929, 49447}, {4001, 33124}, {4028, 62231}, {4126, 70452}, {4383, 71477}, {4388, 35466}, {4416, 33126}, {4421, 59295}, {4423, 37684}, {4429, 63140}, {4450, 33139}, {4512, 49470}, {4643, 29634}, {4650, 16825}, {4651, 71907}, {4676, 11679}, {4682, 17260}, {4703, 29658}, {4847, 49709}, {4884, 50015}, {4921, 17135}, {4974, 17596}, {5218, 63037}, {5235, 70482}, {5248, 56018}, {5268, 17335}, {5271, 36277}, {5273, 51192}, {5278, 17126}, {5281, 62985}, {5284, 37639}, {5302, 41261}, {5325, 49476}, {5361, 24552}, {5372, 71978}, {5432, 63002}, {5737, 70419}, {5745, 33071}, {5847, 33116}, {6626, 71583}, {6646, 17061}, {6679, 33082}, {6685, 16477}, {6690, 62998}, {8053, 56181}, {8616, 32853}, {10453, 71864}, {11110, 62805}, {14614, 54280}, {15492, 72055}, {15601, 30567}, {16468, 32916}, {16484, 71922}, {16885, 27538}, {17018, 71916}, {17024, 24616}, {17150, 62796}, {17160, 32934}, {17271, 32783}, {17273, 26128}, {17283, 33085}, {17295, 33158}, {17297, 29642}, {17305, 29654}, {17347, 33144}, {17362, 59580}, {17770, 33130}, {18191, 35614}, {18613, 54391}, {19723, 37540}, {19732, 70484}, {19786, 61647}, {20064, 33108}, {20077, 25466}, {21242, 72035}, {21747, 32772}, {24542, 32863}, {24597, 32773}, {24697, 29645}, {24723, 40940}, {25531, 71984}, {25760, 41806}, {25958, 31229}, {26723, 33068}, {28248, 71444}, {29635, 50296}, {29681, 32859}, {29767, 38832}, {29814, 71914}, {29837, 61661}, {30652, 71979}, {30832, 72008}, {30942, 72020}, {31205, 33111}, {31289, 72009}, {31359, 62809}, {32860, 65166}, {32936, 50756}, {32946, 41878}, {33073, 54357}, {33075, 56520}, {33095, 50755}, {33096, 49710}, {33118, 63134}, {35261, 70517}, {35652, 72051}, {37035, 37559}, {37660, 70481}, {37680, 71479}, {41816, 72002}, {42028, 62846}, {43223, 46922}, {49712, 71520}, {60714, 71921}, {61155, 71936}, {62849, 71924}, {69825, 69892}, {69855, 70443}, {70972, 72029}, {71637, 72065}

X(72200) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 3052, 71910}, {31, 333, 5263}, {31, 31330, 72016}, {55, 37652, 71934}, {100, 19742, 71931}, {238, 14829, 71980}, {238, 71489, 14829}, {333, 72016, 31330}, {846, 3791, 4360}, {896, 32914, 32939}, {902, 32864, 3996}, {1001, 37683, 71930}, {1150, 17127, 32942}, {1621, 16704, 71935}, {4362, 7262, 190}, {4921, 70834, 17135}, {5278, 17126, 71981}, {5361, 30653, 24552}, {8616, 32853, 68969}, {17135, 70834, 71911}, {19723, 37540, 59296}, {31330, 72016, 5263}

X(72201) = X(1)X(596)∩X(2)X(902)

X(72201) lies on these lines: {1, 596}, {2, 902}, {6, 32945}, {8, 2308}, {10, 17127}, {31, 333}, {42, 70419}, {43, 71917}, {55, 16405}, {75, 17469}, {81, 32941}, {86, 62849}, {100, 25496}, {142, 29853}, {149, 29635}, {165, 29826}, {171, 24552}, {192, 29816}, {226, 29848}, {238, 26037}, {310, 52138}, {321, 17716}, {497, 29845}, {516, 32776}, {519, 37685}, {595, 31339}, {612, 30568}, {726, 29815}, {740, 62807}, {748, 71873}, {750, 30957}, {752, 32782}, {756, 4676}, {894, 3938}, {899, 70481}, {940, 32943}, {964, 5255}, {1001, 4191}, {1010, 3915}, {1125, 4188}, {1376, 32944}, {1386, 32860}, {1621, 5333}, {1738, 29852}, {1836, 32775}, {2177, 71910}, {2209, 70406}, {2345, 21764}, {2550, 29850}, {3052, 32917}, {3058, 6703}, {3120, 29634}, {3210, 29819}, {3218, 29652}, {3219, 36480}, {3240, 71450}, {3242, 32940}, {3243, 72094}, {3434, 29631}, {3501, 70409}, {3589, 34612}, {3662, 29686}, {3679, 19742}, {3681, 4672}, {3685, 5311}, {3720, 70484}, {3741, 5372}, {3744, 32771}, {3745, 32915}, {3746, 43531}, {3748, 4670}, {3750, 19684}, {3759, 71631}, {3771, 33112}, {3821, 29648}, {3873, 4697}, {3886, 62845}, {3914, 29636}, {3920, 3923}, {3961, 26223}, {3980, 7191}, {3996, 61358}, {4011, 5297}, {4030, 5332}, {4038, 71928}, {4085, 49719}, {4113, 16669}, {4195, 10459}, {4225, 5248}, {4307, 32949}, {4344, 33088}, {4363, 32923}, {4388, 72002}, {4428, 19701}, {4430, 71518}, {4450, 32784}, {4645, 24943}, {4649, 71929}, {4650, 46909}, {4651, 16468}, {4661, 71521}, {4683, 64016}, {4685, 63074}, {4702, 37595}, {4720, 57280}, {4722, 49450}, {4780, 68848}, {4865, 32779}, {4914, 50052}, {4981, 7262}, {5014, 32780}, {5119, 60684}, {5249, 29638}, {5250, 51382}, {5269, 17763}, {5294, 33117}, {5695, 32928}, {5710, 54331}, {5739, 50303}, {5880, 33123}, {6327, 32783}, {6679, 33108}, {6686, 61156}, {7031, 70473}, {8013, 70969}, {10385, 63055}, {10453, 71919}, {11246, 71322}, {11319, 59311}, {11354, 19735}, {12609, 36505}, {14459, 70517}, {14996, 42057}, {15523, 50289}, {16393, 37617}, {16475, 63131}, {16477, 71932}, {16483, 19276}, {16484, 71909}, {16569, 70483}, {17017, 32932}, {17018, 33682}, {17024, 24165}, {17122, 71978}, {17123, 71983}, {17124, 71980}, {17125, 72020}, {17135, 62841}, {17150, 49474}, {17156, 62842}, {17157, 70558}, {17165, 71470}, {17200, 32104}, {17289, 33074}, {17336, 42041}, {17354, 69298}, {17355, 63004}, {17368, 63139}, {17394, 69015}, {17591, 29823}, {17599, 32845}, {17688, 30036}, {17766, 29667}, {17778, 71939}, {17889, 26230}, {18139, 50301}, {19284, 21214}, {19717, 42042}, {19785, 29834}, {19786, 33094}, {19808, 49709}, {20064, 33082}, {20101, 33080}, {20292, 26128}, {20966, 50616}, {21747, 37652}, {24169, 29666}, {24210, 29847}, {24295, 29679}, {24325, 62806}, {24349, 67210}, {24693, 26724}, {24715, 32774}, {24725, 33126}, {25385, 29665}, {25453, 33110}, {25760, 63979}, {26035, 70466}, {26061, 32850}, {26098, 29846}, {26627, 29820}, {26825, 27263}, {27003, 29668}, {27064, 72059}, {27131, 59726}, {27186, 29672}, {28352, 56768}, {29637, 72039}, {29643, 59692}, {29645, 33134}, {29654, 33131}, {29656, 31019}, {29660, 69251}, {29677, 72041}, {29814, 71414}, {29824, 37604}, {29827, 71479}, {29831, 33147}, {29832, 33167}, {29838, 33143}, {29842, 33155}, {29854, 64174}, {30652, 71489}, {30659, 71836}, {30970, 71476}, {31136, 37683}, {31241, 71477}, {32777, 33072}, {32862, 50288}, {32863, 50311}, {32911, 50300}, {32914, 50314}, {32918, 37540}, {32921, 62855}, {32924, 38315}, {32946, 33175}, {33065, 41011}, {33069, 50307}, {33070, 33160}, {33073, 33156}, {33097, 33122}, {33163, 68589}, {33816, 71954}, {33846, 71864}, {41809, 50296}, {43223, 61155}, {48810, 69092}, {49471, 62801}, {49472, 50106}, {49681, 50048}, {49685, 63095}, {50293, 62840}, {50625, 69840}, {51669, 62848}, {58443, 72013}, {59312, 71478}, {60714, 71908}, {61409, 62828}, {62821, 68969}, {62846, 71935}, {62847, 70499}, {64425, 70834}, {70157, 70975}, {70462, 71496}, {70556, 71423}, {71637, 72075}, {71982, 72023}, {72004, 72035}, {72006, 72038}

X(72201) = X(39729)-anticomplementary conjugate of X(21287)
X(72201) = crossdifference of every pair of points on line {58288, 69101}
X(72201) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4418, 17155}, {8, 2308, 71923}, {31, 5263, 31330}, {86, 71911, 62849}, {171, 24552, 30942}, {238, 71979, 26037}, {612, 32930, 64178}, {750, 32942, 30957}, {940, 48805, 32943}, {3745, 49484, 32915}, {3920, 3923, 32925}, {4307, 33171, 32949}, {4651, 16468, 71920}, {4697, 49473, 3873}, {5263, 72016, 31}, {17135, 62841, 71924}, {19684, 71912, 3750}, {24552, 72017, 171}, {24943, 72037, 4645}, {32783, 72036, 6327}, {32942, 72019, 750}, {33104, 72027, 2}, {33106, 72029, 2}, {33109, 72026, 2}, {33682, 71918, 17018}, {50314, 62834, 32914}, {62855, 64010, 32921}, {71873, 71981, 748}, {71978, 72021, 17122}, {71983, 72018, 17123}, {71988, 72031, 2}, {71991, 72025, 2}, {71992, 72033, 2}, {71993, 72028, 2}, {72032, 72043, 2}

X(72202) = X(1)X(16704)∩X(2)X(2308)

X(72202) lies on these lines: {1, 16704}, {2, 2308}, {6, 32917}, {8, 902}, {9, 17763}, {10, 17126}, {31, 333}, {42, 37652}, {43, 19742}, {44, 32931}, {55, 32864}, {58, 31339}, {63, 17155}, {69, 16793}, {75, 896}, {86, 62846}, {171, 5278}, {192, 50756}, {238, 1150}, {239, 4414}, {319, 33156}, {321, 7262}, {519, 61155}, {560, 70443}, {740, 62838}, {748, 14829}, {750, 17277}, {752, 33108}, {756, 3769}, {846, 3187}, {899, 1740}, {1001, 32919}, {1125, 14996}, {1155, 17348}, {1376, 19723}, {1621, 4921}, {1654, 72002}, {1707, 4418}, {1743, 29828}, {1757, 26227}, {2177, 71934}, {2895, 3771}, {3011, 4416}, {3052, 4042}, {3218, 16825}, {3219, 4362}, {3240, 71921}, {3243, 72067}, {3416, 33115}, {3550, 4651}, {3578, 33084}, {3647, 64184}, {3683, 32915}, {3712, 10987}, {3720, 37683}, {3722, 49450}, {3741, 5361}, {3750, 71936}, {3757, 32912}, {3759, 46904}, {3772, 4683}, {3791, 28606}, {3840, 5372}, {3842, 9347}, {3883, 33120}, {3966, 33119}, {3994, 17336}, {4001, 33069}, {4009, 15492}, {4038, 71914}, {4046, 59580}, {4062, 17363}, {4189, 59303}, {4195, 59307}, {4357, 29636}, {4359, 4650}, {4361, 32845}, {4383, 32918}, {4384, 70907}, {4388, 24892}, {4392, 24616}, {4427, 49474}, {4430, 71517}, {4434, 63961}, {4438, 33075}, {4450, 32865}, {4512, 17156}, {4640, 32860}, {4641, 32771}, {4643, 32775}, {4645, 71994}, {4649, 71916}, {4655, 33129}, {4660, 33139}, {4661, 71520}, {4703, 33133}, {4831, 17365}, {4850, 4974}, {4933, 50077}, {4981, 17716}, {4991, 17013}, {5218, 37654}, {5220, 32927}, {5235, 50302}, {5248, 64072}, {5273, 33088}, {5737, 32772}, {5739, 29846}, {5745, 29849}, {5839, 14459}, {5847, 29643}, {6327, 33138}, {6536, 29841}, {6629, 52716}, {6646, 33143}, {6679, 32782}, {6685, 63074}, {6686, 63096}, {7075, 40586}, {8297, 51583}, {8616, 17135}, {8622, 71578}, {9345, 71913}, {10180, 62801}, {11679, 32930}, {12514, 27368}, {14552, 33171}, {15485, 29824}, {16405, 36635}, {16469, 29826}, {16484, 71933}, {16569, 71479}, {16690, 29767}, {16865, 67976}, {17017, 38000}, {17018, 71925}, {17121, 67211}, {17122, 71987}, {17123, 71984}, {17125, 71985}, {17137, 71472}, {17162, 49469}, {17242, 49995}, {17272, 29855}, {17332, 17602}, {17346, 69300}, {17347, 32856}, {17394, 53034}, {17770, 31019}, {17778, 29661}, {18194, 68750}, {20045, 49448}, {20064, 33109}, {20101, 71989}, {20154, 24602}, {21384, 69074}, {21747, 30970}, {24165, 67335}, {24325, 62795}, {24542, 33087}, {24597, 29631}, {24723, 33128}, {24789, 33067}, {24943, 37653}, {25101, 49990}, {25385, 49710}, {25453, 33083}, {25760, 35466}, {25959, 50304}, {25960, 37646}, {26034, 29850}, {26102, 37639}, {26580, 29658}, {26723, 33125}, {27065, 29649}, {29638, 49511}, {29640, 31034}, {29642, 32863}, {29665, 69299}, {29678, 62998}, {29681, 33064}, {29814, 71922}, {29827, 70483}, {29830, 31303}, {29839, 71941}, {29845, 37642}, {29852, 54311}, {29858, 31017}, {30653, 49482}, {30950, 37684}, {31241, 70481}, {31289, 71999}, {32776, 40940}, {32778, 56520}, {32779, 50308}, {32852, 33116}, {32859, 33130}, {32861, 33113}, {32911, 32916}, {32921, 62796}, {32922, 36263}, {32941, 70834}, {32944, 37660}, {32947, 33137}, {32948, 63140}, {32950, 33132}, {33066, 33127}, {33074, 33118}, {33076, 33114}, {33117, 63134}, {33134, 50755}, {34016, 56431}, {36277, 50314}, {37685, 43223}, {41629, 62821}, {42058, 72036}, {46196, 70491}, {48644, 59664}, {49470, 70520}, {49500, 54335}, {50306, 59547}, {59306, 70484}, {59312, 70482}, {60714, 71932}, {61358, 71915}, {62849, 71935}, {63100, 72004}, {69252, 70969}, {69530, 70735}, {71637, 72081}

X(72202) = reflection of X(29643) in X(54357)
X(72202) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 16704, 71924}, {8, 902, 71451}, {9, 17763, 64178}, {31, 333, 31330}, {42, 37652, 71923}, {43, 19742, 71920}, {63, 32914, 17155}, {171, 5278, 26037}, {238, 1150, 30942}, {748, 14829, 30957}, {1621, 4921, 32853}, {1707, 5271, 4418}, {3011, 4416, 33065}, {3052, 4042, 32945}, {3219, 4362, 32925}, {3550, 4651, 71917}, {3720, 37683, 71919}, {3791, 59624, 28606}, {4357, 61647, 29636}, {5361, 17127, 3741}, {8616, 17135, 71452}, {16704, 71478, 1}, {17349, 71477, 899}, {21747, 30970, 70419}, {24597, 50295, 29631}, {37646, 41002, 25960}, {37652, 71476, 42}

X(72203) = X(1)X(71606)∩X(10)X(31)

X(72203) lies on these lines: {1, 71606}, {2, 41002}, {6, 29822}, {8, 13735}, {10, 31}, {42, 63060}, {44, 26227}, {55, 19742}, {56, 70110}, {69, 24542}, {81, 3616}, {100, 17349}, {145, 958}, {171, 71987}, {238, 1150}, {239, 62838}, {333, 17127}, {391, 70970}, {524, 29830}, {748, 4871}, {752, 71994}, {896, 16825}, {902, 71927}, {956, 62401}, {1001, 16704}, {1125, 62846}, {1203, 16342}, {1707, 4359}, {1743, 46897}, {2177, 4946}, {2280, 4700}, {2308, 19684}, {3052, 4651}, {3187, 3683}, {3219, 3891}, {3240, 68966}, {3578, 33171}, {3624, 19334}, {3632, 8616}, {3635, 62849}, {3636, 62821}, {3686, 35263}, {3720, 71914}, {3741, 72018}, {3750, 71923}, {3769, 27065}, {3791, 71874}, {3840, 72024}, {3883, 33114}, {3896, 4512}, {3925, 20064}, {3938, 49449}, {3952, 16885}, {3966, 56520}, {3994, 4362}, {4126, 70453}, {4361, 4427}, {4384, 36277}, {4389, 33295}, {4414, 4974}, {4416, 33122}, {4423, 37639}, {4428, 20011}, {4442, 5698}, {4640, 4706}, {4643, 26230}, {4668, 32945}, {4701, 71918}, {4722, 29651}, {4753, 67207}, {4831, 25557}, {4921, 10453}, {4966, 31303}, {4981, 62834}, {5220, 20045}, {5235, 70419}, {5263, 30653}, {5284, 37683}, {5297, 17335}, {5361, 32942}, {5372, 71980}, {6679, 72008}, {6690, 63010}, {7262, 32914}, {7290, 46909}, {9347, 17260}, {11684, 19851}, {14594, 60954}, {14829, 71982}, {15485, 32919}, {16468, 29825}, {16484, 71924}, {16823, 62795}, {16884, 27811}, {16998, 20072}, {17017, 59624}, {17018, 71915}, {17123, 71986}, {17126, 17277}, {17135, 71909}, {17346, 33175}, {17347, 33148}, {17352, 33086}, {17595, 68958}, {19280, 19877}, {19732, 70482}, {19738, 43223}, {19819, 44446}, {20048, 61155}, {20101, 72014}, {20154, 70907}, {21242, 72038}, {21747, 50302}, {24596, 37233}, {24697, 29636}, {24725, 49710}, {24988, 37650}, {25760, 31229}, {26037, 72021}, {26228, 54280}, {26723, 32950}, {29631, 50296}, {29640, 31179}, {29681, 33066}, {29814, 41629}, {29823, 30564}, {29828, 41241}, {30652, 71981}, {30834, 32843}, {30970, 50300}, {31289, 72007}, {32779, 70969}, {32853, 50001}, {32911, 71476}, {32912, 49491}, {32929, 49468}, {33070, 54357}, {36263, 50023}, {37660, 70483}, {37679, 71479}, {37680, 71477}, {49488, 70520}, {49709, 70911}, {55432, 63087}, {57151, 64170}, {60714, 71920}, {70972, 72027}, {71977, 72023}

X(72203) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 70834, 71912}, {10, 31, 72017}, {10, 72017, 71979}, {31, 5278, 71979}, {55, 19742, 71932}, {238, 1150, 71978}, {238, 30942, 72022}, {333, 17127, 24552}, {748, 71489, 71984}, {1001, 16704, 71933}, {1150, 72022, 30942}, {1621, 37652, 71936}, {3052, 4651, 71908}, {3052, 19723, 4651}, {5278, 72017, 10}, {7262, 32914, 32933}, {8616, 32864, 71929}, {17126, 17277, 71983}, {30942, 72022, 71978}

X(72204) = X(1)X(3210)∩X(10)X(31)

X(72204) lies on these lines: {1, 3210}, {2, 902}, {6, 4685}, {8, 51674}, {10, 31}, {11, 58443}, {35, 404}, {42, 19717}, {43, 70419}, {55, 11358}, {57, 29652}, {63, 36480}, {75, 17716}, {81, 519}, {86, 3750}, {87, 59314}, {100, 6685}, {142, 29672}, {149, 29845}, {171, 3741}, {200, 71634}, {210, 4672}, {238, 71977}, {354, 49473}, {516, 4220}, {518, 4697}, {528, 6703}, {551, 19336}, {612, 3923}, {726, 3920}, {740, 3745}, {748, 71983}, {750, 3840}, {752, 1211}, {846, 16830}, {894, 3961}, {896, 4981}, {899, 71943}, {908, 59726}, {940, 32941}, {1001, 16059}, {1010, 5255}, {1155, 6682}, {1185, 3997}, {1197, 2295}, {1201, 19284}, {1215, 70841}, {1376, 25496}, {1738, 29654}, {1914, 5750}, {1961, 3685}, {2177, 19684}, {2205, 70473}, {2223, 68710}, {2308, 4651}, {2309, 59315}, {2321, 63099}, {2345, 70461}, {2550, 25453}, {3052, 19744}, {3187, 4709}, {3240, 71917}, {3244, 62821}, {3306, 29668}, {3434, 29635}, {3589, 49732}, {3616, 37574}, {3625, 62846}, {3626, 32864}, {3634, 70834}, {3636, 24200}, {3679, 37652}, {3681, 71521}, {3683, 3842}, {3686, 60697}, {3696, 3791}, {3703, 50288}, {3720, 71414}, {3744, 24325}, {3746, 25526}, {3749, 10436}, {3757, 24342}, {3846, 63979}, {3891, 50117}, {3914, 29645}, {3915, 16454}, {3925, 6679}, {3938, 49479}, {3989, 4427}, {3993, 5311}, {3996, 4649}, {4011, 5268}, {4028, 4349}, {4038, 68969}, {4046, 17772}, {4061, 51196}, {4085, 34612}, {4090, 26223}, {4113, 4753}, {4195, 59311}, {4307, 32946}, {4359, 17469}, {4362, 5269}, {4363, 32920}, {4383, 50300}, {4386, 62420}, {4388, 72004}, {4413, 70942}, {4428, 15668}, {4432, 44307}, {4434, 44417}, {4450, 69294}, {4512, 39586}, {4641, 49457}, {4645, 32783}, {4669, 71916}, {4682, 49484}, {4683, 28508}, {4693, 34064}, {4703, 64016}, {4759, 27065}, {4797, 25384}, {4854, 17764}, {4871, 17122}, {4967, 33295}, {5248, 13738}, {5249, 29656}, {5266, 49598}, {5276, 17355}, {5297, 32930}, {5361, 17126}, {5429, 16821}, {5711, 67976}, {5847, 21085}, {5880, 26128}, {6327, 72002}, {6535, 50000}, {6686, 32944}, {8715, 43531}, {9345, 71928}, {9347, 32915}, {10198, 26027}, {10453, 37604}, {10459, 11115}, {14552, 48802}, {14555, 50303}, {16468, 59296}, {16477, 71931}, {16483, 19290}, {16484, 71911}, {16569, 70481}, {16825, 62834}, {16993, 68876}, {17018, 71451}, {17123, 71873}, {17124, 71978}, {17125, 72018}, {17127, 26037}, {17135, 71922}, {17140, 67210}, {17147, 29816}, {17155, 29815}, {17163, 50756}, {17184, 24692}, {17289, 33079}, {17303, 21793}, {17351, 42054}, {17369, 71490}, {17379, 36646}, {17495, 29819}, {17594, 29644}, {17602, 48643}, {17688, 30030}, {17766, 59628}, {17889, 29634}, {18134, 50301}, {19734, 48863}, {19742, 21747}, {19785, 29842}, {19786, 24715}, {19808, 33076}, {19853, 54354}, {20064, 72008}, {20101, 33082}, {20292, 32775}, {21214, 56768}, {21242, 37646}, {23812, 50748}, {24596, 31191}, {24693, 24789}, {24943, 72041}, {24987, 70222}, {25385, 66632}, {26230, 69253}, {27186, 29638}, {28512, 33075}, {28522, 32928}, {28550, 33100}, {29631, 33110}, {29636, 33131}, {29648, 33125}, {29653, 59692}, {29659, 63139}, {29686, 69251}, {29814, 71452}, {29829, 71940}, {29834, 33150}, {29838, 33147}, {29846, 33112}, {29847, 33134}, {29848, 31019}, {30038, 60686}, {30063, 33816}, {30097, 41346}, {30615, 50313}, {31136, 37639}, {31241, 71479}, {32771, 71520}, {32778, 50289}, {32779, 33072}, {32780, 32850}, {32782, 50304}, {32860, 49477}, {32865, 49720}, {32912, 49510}, {32916, 37540}, {32924, 62855}, {32933, 49520}, {32943, 37633}, {32949, 33175}, {33064, 50307}, {33073, 33160}, {33097, 33126}, {33132, 69755}, {33157, 49769}, {34607, 63055}, {35633, 37559}, {36534, 62865}, {37522, 50608}, {37593, 50293}, {37595, 49471}, {37674, 48805}, {37685, 49685}, {41011, 69299}, {42027, 70556}, {42051, 49472}, {42055, 49465}, {42058, 63100}, {48810, 72001}, {48854, 62818}, {49458, 62819}, {49469, 58820}, {49488, 62845}, {49505, 62240}, {49508, 71793}, {49705, 70914}, {49988, 71926}, {50018, 71631}, {50284, 70517}, {50291, 56078}, {50316, 63057}, {54286, 54373}, {57280, 59303}, {59302, 62805}, {59306, 71478}, {59312, 71476}, {59565, 71423}, {60684, 63136}, {60714, 71907}, {61358, 71927}, {62711, 70485}, {63056, 71939}, {69556, 71453}

X(72204) = midpoint of X(i) and X(j) for these {i,j}: {81, 32945}, {3920, 4418}, {32928, 64010}
X(72204) = reflection of X(71518) in X(4697)
X(72204) = complement of X(32947)
X(72204) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3980, 24165}, {1, 32932, 4970}, {2, 33109, 21241}, {8, 62841, 71925}, {31, 71979, 10}, {42, 70482, 33682}, {55, 50302, 43223}, {86, 71910, 3750}, {100, 32772, 6685}, {171, 5263, 3741}, {210, 4672, 71515}, {238, 71981, 71977}, {612, 3923, 3971}, {750, 24552, 3840}, {940, 32941, 42057}, {2308, 4651, 71921}, {3744, 24325, 71517}, {3749, 10436, 29651}, {4359, 17469, 50023}, {4362, 50314, 62226}, {5263, 72019, 171}, {5269, 50314, 4362}, {5297, 32930, 59517}, {5311, 32929, 3993}, {17122, 32942, 4871}, {17126, 31330, 71489}, {17155, 29815, 49464}, {19684, 71908, 2177}, {24552, 72021, 750}, {32783, 72039, 4645}, {32860, 62807, 49477}, {33104, 72031, 2}, {33109, 72029, 2}, {33682, 71450, 42}, {59692, 64174, 29653}, {62821, 71929, 3244}, {62845, 63131, 49488}, {71978, 72023, 17124}, {71979, 72017, 31}, {71981, 72016, 238}, {71988, 72033, 2}, {71989, 72027, 2}, {71991, 72026, 2}, {72002, 72037, 6327}, {72004, 72036, 4388}, {72028, 72043, 2}

X(72205) = X(2)X(41002)∩X(6)X(71479)

X(72205) lies on these lines: {2, 41002}, {6, 71479}, {10, 72023}, {11, 20064}, {31, 3840}, {42, 71914}, {43, 71916}, {55, 37639}, {81, 59297}, {100, 20012}, {145, 5217}, {165, 3896}, {171, 1150}, {238, 71986}, {239, 9352}, {320, 29665}, {333, 71983}, {614, 24593}, {750, 5278}, {752, 29662}, {896, 29649}, {899, 63060}, {902, 71928}, {1155, 3187}, {1376, 16704}, {1621, 37684}, {1707, 4358}, {1724, 49993}, {2177, 71922}, {3035, 63010}, {3052, 29824}, {3218, 3769}, {3240, 41629}, {3244, 17782}, {3474, 4442}, {3550, 32919}, {3741, 72017}, {3750, 71919}, {3775, 72031}, {3923, 9340}, {4252, 17751}, {4257, 49492}, {4312, 48645}, {4413, 19742}, {4421, 20011}, {4434, 32912}, {4450, 11269}, {4641, 59596}, {4650, 17763}, {4655, 29683}, {4871, 72024}, {4921, 59296}, {4972, 37642}, {5021, 70492}, {5204, 20040}, {5263, 5372}, {5269, 46909}, {5361, 71981}, {5432, 31034}, {6327, 37646}, {6679, 72007}, {6685, 19738}, {6690, 63056}, {7081, 62795}, {9342, 17349}, {9347, 38000}, {9350, 71921}, {9780, 64424}, {10453, 71912}, {11346, 49999}, {11680, 20101}, {11681, 20077}, {14552, 70970}, {14829, 17126}, {16342, 37559}, {17018, 71913}, {17122, 71987}, {17127, 71982}, {17135, 37540}, {17150, 17595}, {17227, 29874}, {17297, 29866}, {18141, 24542}, {19684, 32916}, {21242, 72037}, {21747, 70942}, {23958, 32922}, {24627, 62807}, {25957, 31229}, {25959, 41806}, {29658, 33067}, {29829, 44419}, {30567, 36277}, {30652, 32942}, {30653, 71980}, {30834, 32949}, {30957, 72022}, {32853, 71927}, {32859, 66632}, {32864, 56010}, {32917, 37604}, {32918, 62841}, {32926, 67335}, {33070, 59491}, {33088, 51583}, {36279, 39766}, {37589, 49687}, {37633, 71476}, {37660, 70482}, {37674, 71478}, {41261, 62827}, {46897, 62812}, {49486, 63212}, {49990, 59544}, {50252, 69230}, {54352, 71520}, {56009, 71923}, {58443, 72008}, {59572, 63009}, {59679, 61358}, {60714, 71924}, {61155, 71930}, {61156, 71931}, {63078, 63140}, {69231, 70158}, {70972, 72033}

X(72205) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 3840, 72018}, {31, 71984, 71978}, {55, 37639, 71933}, {100, 37683, 71936}, {171, 1150, 71979}, {171, 31330, 72021}, {750, 71489, 5278}, {1150, 72021, 31330}, {1376, 16704, 71932}, {3052, 29824, 71909}, {3218, 3769, 3891}, {3550, 32919, 71929}, {3840, 72018, 71978}, {4650, 17763, 32933}, {6685, 62846, 19738}, {14829, 17126, 24552}, {17127, 71985, 71982}, {17135, 37540, 71908}, {31330, 72021, 71979}, {71984, 72018, 3840}

X(72206) = X(2)X(902)∩X(21)X(36)

X(72206) lies on these lines: {1, 979}, {2, 902}, {6, 42057}, {9, 29652}, {10, 748}, {11, 6679}, {21, 36}, {31, 3840}, {42, 70483}, {43, 70485}, {55, 70942}, {56, 19532}, {63, 29668}, {86, 65039}, {100, 6686}, {149, 29850}, {171, 4871}, {190, 17598}, {210, 49473}, {226, 29672}, {238, 333}, {321, 50023}, {354, 4672}, {497, 25453}, {516, 19649}, {518, 71515}, {519, 5315}, {551, 4656}, {595, 3831}, {614, 3923}, {667, 23825}, {726, 7191}, {750, 71982}, {752, 69092}, {894, 29820}, {899, 71450}, {908, 29656}, {940, 50300}, {946, 13732}, {968, 29650}, {982, 4676}, {983, 17353}, {984, 72053}, {1001, 16058}, {1009, 28364}, {1100, 3985}, {1201, 11319}, {1203, 35633}, {1215, 1279}, {1621, 6685}, {1724, 50608}, {2177, 71909}, {2241, 70468}, {2308, 29824}, {3009, 71624}, {3058, 4085}, {3175, 49472}, {3219, 4759}, {3240, 71452}, {3244, 4082}, {3246, 44417}, {3305, 36480}, {3315, 32940}, {3329, 68876}, {3589, 49736}, {3616, 56989}, {3624, 19278}, {3625, 71932}, {3666, 4432}, {3683, 6682}, {3685, 4970}, {3706, 4974}, {3720, 4368}, {3742, 4697}, {3744, 59511}, {3750, 71864}, {3756, 59574}, {3775, 41002}, {3836, 63979}, {3870, 71634}, {3873, 71521}, {3891, 4135}, {3912, 60686}, {3920, 59517}, {3925, 31289}, {3938, 4090}, {3941, 24659}, {3952, 67210}, {3961, 72059}, {3980, 5272}, {3989, 29823}, {3993, 17017}, {3995, 29819}, {3996, 49988}, {4001, 49710}, {4030, 49700}, {4195, 21214}, {4358, 17469}, {4362, 7290}, {4383, 4685}, {4387, 32921}, {4388, 29637}, {4418, 7292}, {4423, 25501}, {4438, 17721}, {4514, 33159}, {4645, 72003}, {4720, 59303}, {4865, 17279}, {4906, 17351}, {5211, 33167}, {5255, 13741}, {5263, 17123}, {5264, 46827}, {5266, 25079}, {5294, 29655}, {5332, 71492}, {5372, 17127}, {5737, 8692}, {5739, 50311}, {5743, 48810}, {6057, 17769}, {6327, 29677}, {6381, 18064}, {6692, 25377}, {8669, 25591}, {9340, 24593}, {9350, 71908}, {10453, 16468}, {10459, 56983}, {11115, 28352}, {13735, 37617}, {16466, 67976}, {16469, 39594}, {16477, 71935}, {16486, 48832}, {16706, 33095}, {16825, 62226}, {17024, 32925}, {17122, 25531}, {17124, 72017}, {17125, 71979}, {17126, 30957}, {17135, 71921}, {17165, 29818}, {17280, 32866}, {17339, 62994}, {17350, 62865}, {17352, 32865}, {17354, 33169}, {17355, 33854}, {17357, 28595}, {17597, 32935}, {17716, 18743}, {17722, 33116}, {17777, 33152}, {18141, 50303}, {18792, 28360}, {19742, 31136}, {20064, 72007}, {20101, 72009}, {20363, 23533}, {21747, 37639}, {24210, 29654}, {24425, 36862}, {24542, 33105}, {24668, 59625}, {24692, 69251}, {24703, 26128}, {24943, 72042}, {25440, 27639}, {25492, 37603}, {25502, 70484}, {26093, 37608}, {26098, 29642}, {26102, 70419}, {26223, 49479}, {26230, 69173}, {26580, 29686}, {27131, 29848}, {27184, 29660}, {28508, 33067}, {28512, 33078}, {28522, 32924}, {28530, 59477}, {28550, 33102}, {29632, 33107}, {29638, 31053}, {29649, 62834}, {29666, 32776}, {29815, 64178}, {29816, 31035}, {29827, 71476}, {29836, 33153}, {29840, 33164}, {29844, 33163}, {29851, 33112}, {29852, 33134}, {29853, 31019}, {30030, 33817}, {30038, 33816}, {30947, 37604}, {30950, 70482}, {31028, 70689}, {31137, 37683}, {31191, 51783}, {31241, 71478}, {32843, 33173}, {32844, 33157}, {32915, 49477}, {32918, 70834}, {32923, 41242}, {32931, 62806}, {32938, 62814}, {32945, 37680}, {33071, 33158}, {33072, 49769}, {33079, 49709}, {33096, 33124}, {33172, 50304}, {37679, 48805}, {41011, 49676}, {41269, 70734}, {41851, 71582}, {42054, 49465}, {48867, 62844}, {49448, 70742}, {49455, 56082}, {49535, 62869}, {49685, 63074}, {49705, 63134}, {50316, 63037}, {56009, 71910}, {59593, 62630}, {59692, 71085}, {60714, 71911}, {62673, 63969}, {62815, 72096}, {63010, 71939}, {67983, 69268}

X(72206) = midpoint of X(i) and X(j) for these {i,j}: {7191, 32930}, {32911, 32943}, {32938, 62814}
X(72206) = complement of X(32948)
X(72206) = crosspoint of X(86) and X(17743)
X(72206) = crosssum of X(42) and X(2275)
X(72206) = crossdifference of every pair of points on line {55210, 69101}
X(72206) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4011, 3971}, {2, 902, 59679}, {2, 33106, 21241}, {31, 71978, 3840}, {171, 71980, 4871}, {238, 32942, 3741}, {354, 4672, 71518}, {614, 3923, 24165}, {748, 24552, 10}, {1001, 25496, 43223}, {1125, 40998, 4425}, {1215, 1279, 71517}, {1621, 32944, 6685}, {2308, 29824, 71922}, {3685, 29821, 4970}, {3744, 59511, 70841}, {3915, 5192, 10}, {4383, 32941, 4685}, {4423, 50302, 25501}, {4906, 17351, 42055}, {5263, 17123, 71977}, {5284, 32772, 1125}, {10453, 16468, 71925}, {17024, 32925, 49464}, {17127, 30942, 71489}, {24552, 72022, 748}, {25531, 72016, 17122}, {29637, 72040, 4388}, {29677, 72038, 6327}, {32931, 62806, 71520}, {32942, 72020, 238}, {33104, 72032, 2}, {33106, 72030, 2}, {61358, 71928, 3244}, {71873, 71980, 171}, {71978, 72018, 31}, {71979, 72024, 17125}, {71988, 72028, 2}, {71989, 72034, 2}, {71990, 72025, 2}, {72003, 72035, 4645}, {72027, 72044, 2}

X(72207) = X(2)X(2308)∩X(36)X(100)

X(72207) lies on these lines: {1, 19278}, {2, 2308}, {3, 67976}, {8, 37608}, {10, 750}, {11, 752}, {31, 3840}, {35, 35633}, {36, 100}, {42, 37639}, {43, 37683}, {44, 24003}, {46, 17733}, {55, 42057}, {57, 4362}, {58, 3831}, {63, 3971}, {81, 6685}, {149, 28562}, {165, 39594}, {171, 3741}, {238, 4871}, {239, 1054}, {244, 24593}, {312, 4650}, {320, 17719}, {333, 17122}, {350, 65185}, {354, 71517}, {404, 59303}, {517, 38484}, {518, 4434}, {524, 3035}, {527, 4396}, {540, 3814}, {551, 9345}, {672, 61234}, {726, 3218}, {740, 1155}, {748, 71986}, {799, 5209}, {896, 4358}, {899, 16704}, {902, 29824}, {908, 17770}, {940, 32916}, {982, 3769}, {1125, 5315}, {1211, 58443}, {1215, 71518}, {1376, 4685}, {1428, 3911}, {1475, 70492}, {1575, 50252}, {1580, 3912}, {1647, 70909}, {1707, 4011}, {1724, 46827}, {1737, 38456}, {1738, 50755}, {1757, 5205}, {1918, 29746}, {1961, 38000}, {1999, 4970}, {2177, 3244}, {2321, 69230}, {2887, 37646}, {3008, 24602}, {3011, 49676}, {3120, 24692}, {3219, 59517}, {3240, 49685}, {3306, 16825}, {3336, 67983}, {3550, 10453}, {3570, 62630}, {3625, 71927}, {3634, 5235}, {3662, 29658}, {3664, 37670}, {3685, 70219}, {3699, 49712}, {3712, 59665}, {3717, 49994}, {3745, 6682}, {3750, 71930}, {3751, 71634}, {3752, 3791}, {3836, 35466}, {3846, 37634}, {3868, 8669}, {3873, 71520}, {3916, 63800}, {3950, 41423}, {3952, 62659}, {3977, 6541}, {3980, 11679}, {3993, 4414}, {4001, 69299}, {4003, 49472}, {4028, 10164}, {4090, 32912}, {4135, 32933}, {4253, 70491}, {4360, 17593}, {4388, 71995}, {4392, 49464}, {4416, 16997}, {4425, 39595}, {4598, 34252}, {4607, 70835}, {4641, 59511}, {4645, 21241}, {4649, 71913}, {4655, 17720}, {4660, 11269}, {4672, 30818}, {4684, 50748}, {4689, 49471}, {4693, 65166}, {4697, 44417}, {4850, 49477}, {4921, 9342}, {4946, 49497}, {4974, 16610}, {4991, 17012}, {5057, 28508}, {5087, 28570}, {5264, 50608}, {5269, 29652}, {5278, 17124}, {5361, 26037}, {5372, 31330}, {5745, 29653}, {6327, 29662}, {6649, 9436}, {6679, 69092}, {6686, 32911}, {6703, 71328}, {6718, 63844}, {6745, 34379}, {7081, 32913}, {7262, 18743}, {8666, 64752}, {9330, 24616}, {9332, 46922}, {9350, 71932}, {9352, 32860}, {9454, 70119}, {10449, 37603}, {11246, 48643}, {11814, 49710}, {15481, 42056}, {15485, 30947}, {15571, 23845}, {16192, 35629}, {16566, 59636}, {16569, 37652}, {16570, 30568}, {17018, 71919}, {17121, 17779}, {17126, 30942}, {17127, 30957}, {17135, 71450}, {17155, 23958}, {17184, 29683}, {17232, 29858}, {17277, 71464}, {17291, 29859}, {17300, 29640}, {17349, 25528}, {17379, 29825}, {17449, 20045}, {17474, 70490}, {17495, 50756}, {17595, 32921}, {17601, 49470}, {17731, 62530}, {17765, 51463}, {17766, 26015}, {18141, 29642}, {18201, 32922}, {19284, 59307}, {20064, 71988}, {20101, 33106}, {20541, 44379}, {21071, 69231}, {21257, 29558}, {21747, 70483}, {22045, 53389}, {24169, 40940}, {24200, 50754}, {24325, 37520}, {24695, 28808}, {24980, 69821}, {25385, 50307}, {25440, 59302}, {25453, 37642}, {25501, 37674}, {25760, 50304}, {26034, 29635}, {26102, 71476}, {26227, 49479}, {26840, 33152}, {27003, 32914}, {28498, 61649}, {28512, 32844}, {28522, 32845}, {28870, 66628}, {29631, 33086}, {29645, 54311}, {29650, 62845}, {29655, 63134}, {29665, 33069}, {29668, 62834}, {29670, 62819}, {29671, 59491}, {29676, 50289}, {29678, 63056}, {29687, 56520}, {29827, 70419}, {29845, 33083}, {29846, 32863}, {30950, 71478}, {31241, 70482}, {31242, 70485}, {32846, 32851}, {32848, 51583}, {32857, 37759}, {32925, 67335}, {32927, 62235}, {32931, 62795}, {32941, 37540}, {32948, 33142}, {33064, 66632}, {33067, 33133}, {33068, 33135}, {33078, 33119}, {33079, 33121}, {33115, 49769}, {33863, 71487}, {36263, 49520}, {37524, 64184}, {37653, 72004}, {37660, 50302}, {37675, 63978}, {39584, 61763}, {42058, 72038}, {44307, 59624}, {45751, 61235}, {49535, 54352}, {49696, 49989}, {49697, 49991}, {49988, 56009}, {49999, 52680}, {50017, 58863}, {53393, 69029}, {53602, 70907}, {56530, 69085}, {60714, 71935}, {61358, 71914}, {62815, 72069}

X(72207) = midpoint of X(i) and X(j) for these {i,j}: {100, 32919}, {3218, 17763}, {32927, 62235}
X(72207) = reflection of X(i) in X(j) for these {i,j}: {70841, 4434}, {71085, 3911}
X(72207) = complement of X(32843)
X(72207) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 71984, 3840}, {42, 37639, 71922}, {42, 71479, 59679}, {43, 37683, 71925}, {57, 4362, 24165}, {63, 29649, 3971}, {81, 32918, 6685}, {171, 14829, 3741}, {238, 71985, 4871}, {333, 17122, 71977}, {750, 1150, 10}, {899, 16704, 71921}, {902, 29824, 71414}, {940, 32916, 43223}, {1376, 32853, 4685}, {1707, 30567, 4011}, {1999, 17596, 4970}, {2177, 71933, 3244}, {3240, 71924, 49685}, {3550, 10453, 71918}, {3977, 49990, 6541}, {3980, 11679, 62226}, {4641, 59511, 71515}, {4645, 33140, 21241}, {17126, 30942, 49482}, {26034, 63078, 29635}, {32917, 37633, 1125}, {32931, 62795, 71521}, {37639, 71479, 42}, {37684, 71477, 1}, {56009, 71934, 49988}, {59679, 71922, 42}, {70907, 70940, 53602}

X(72208) = X(2)X(2308)∩X(10)X(31)

X(72208) lies on these lines: {1, 37652}, {2, 2308}, {6, 43223}, {8, 8616}, {9, 3971}, {10, 31}, {21, 59303}, {37, 3791}, {38, 50023}, {42, 19742}, {43, 2309}, {44, 1215}, {55, 4685}, {63, 16825}, {69, 29642}, {75, 7262}, {81, 1125}, {171, 17277}, {191, 67983}, {210, 70841}, {238, 333}, {239, 846}, {319, 33158}, {405, 67976}, {516, 1746}, {518, 71517}, {519, 1621}, {551, 62821}, {726, 3219}, {740, 3683}, {748, 1150}, {750, 71987}, {752, 3925}, {873, 6629}, {896, 4359}, {899, 59679}, {902, 4651}, {940, 25501}, {966, 70461}, {968, 49488}, {1001, 32853}, {1046, 16817}, {1100, 10180}, {1107, 58391}, {1193, 18169}, {1197, 2238}, {1211, 6679}, {1376, 16396}, {1580, 30038}, {1654, 32783}, {1698, 70484}, {1707, 3980}, {1754, 45305}, {1757, 3757}, {1914, 3686}, {1961, 17260}, {2162, 37673}, {2177, 71932}, {2280, 4028}, {2651, 12047}, {2895, 29632}, {3008, 24169}, {3011, 69299}, {3187, 3993}, {3240, 71920}, {3244, 62849}, {3305, 29649}, {3550, 59296}, {3578, 24542}, {3625, 71929}, {3626, 32945}, {3647, 64185}, {3666, 4974}, {3681, 71520}, {3687, 8300}, {3691, 4039}, {3706, 4432}, {3707, 4104}, {3720, 16704}, {3739, 4697}, {3740, 4434}, {3744, 49457}, {3745, 3842}, {3750, 71934}, {3751, 29651}, {3759, 17592}, {3769, 17335}, {3771, 5739}, {3772, 4703}, {3775, 49724}, {3821, 26723}, {3846, 35466}, {3876, 8669}, {3883, 29673}, {3891, 49520}, {3896, 50018}, {3923, 5271}, {3938, 49510}, {3961, 60731}, {3966, 4438}, {3967, 15492}, {3989, 17150}, {3995, 50756}, {4001, 49676}, {4011, 11679}, {4030, 49693}, {4038, 41629}, {4042, 32941}, {4090, 26227}, {4199, 71288}, {4357, 29654}, {4361, 32934}, {4383, 32916}, {4388, 21241}, {4416, 16998}, {4425, 40940}, {4426, 62420}, {4640, 17348}, {4641, 24325}, {4643, 26128}, {4645, 71996}, {4649, 71915}, {4650, 19804}, {4655, 24789}, {4669, 71912}, {4672, 31993}, {4683, 33129}, {4709, 32929}, {4759, 32930}, {4871, 14829}, {4886, 33160}, {4921, 5284}, {4981, 17469}, {4991, 17011}, {5197, 59491}, {5220, 32920}, {5235, 32772}, {5241, 58443}, {5248, 59302}, {5249, 17770}, {5257, 63099}, {5259, 35633}, {5276, 63978}, {5361, 30942}, {5372, 30957}, {5737, 25496}, {5745, 71085}, {5750, 60697}, {5847, 29653}, {6327, 71994}, {6536, 29833}, {6626, 7304}, {6646, 33147}, {6685, 32911}, {6686, 32918}, {6734, 70222}, {7226, 49464}, {7290, 29652}, {7766, 17331}, {9345, 71914}, {9534, 54354}, {10453, 15485}, {11319, 59307}, {11358, 36635}, {12514, 54373}, {13405, 63087}, {15481, 42054}, {16475, 29644}, {16484, 71935}, {16569, 71419}, {16814, 72054}, {16819, 40749}, {16823, 32913}, {17018, 49685}, {17061, 17332}, {17125, 71984}, {17126, 26037}, {17127, 31330}, {17135, 71414}, {17275, 21793}, {17330, 70972}, {17340, 48644}, {17346, 33084}, {17347, 33103}, {17352, 33174}, {17715, 49450}, {17763, 27065}, {17766, 25006}, {18192, 49997}, {18792, 28247}, {19732, 50302}, {19734, 62805}, {19786, 24697}, {19856, 26044}, {19862, 62846}, {20064, 71989}, {20101, 71991}, {20154, 24586}, {20292, 28508}, {21384, 40955}, {21747, 59306}, {22343, 28248}, {23570, 44451}, {24210, 50755}, {24259, 24592}, {24331, 62819}, {24597, 29635}, {24692, 69253}, {24723, 33132}, {25354, 69544}, {25453, 50295}, {25502, 37684}, {25512, 69840}, {25957, 50304}, {26038, 56010}, {26102, 37683}, {26724, 33067}, {27538, 71415}, {28512, 33072}, {28522, 32936}, {28562, 33110}, {28606, 49477}, {29637, 37653}, {29640, 62998}, {29645, 61647}, {29661, 31034}, {29669, 59406}, {29670, 71634}, {29671, 54357}, {29672, 49511}, {29678, 63010}, {29681, 33065}, {29814, 71924}, {29821, 38000}, {29827, 70485}, {29830, 71941}, {29839, 62989}, {29844, 64153}, {29846, 37656}, {29850, 33083}, {29851, 32863}, {29865, 31037}, {29869, 31017}, {30950, 37639}, {31241, 70483}, {31264, 41241}, {31289, 69092}, {32771, 71521}, {32773, 50296}, {32777, 50308}, {32778, 70969}, {32779, 70718}, {32860, 62838}, {32861, 33116}, {32912, 49479}, {32924, 62796}, {32928, 33761}, {32933, 50117}, {32947, 33139}, {33066, 33130}, {33075, 33115}, {33076, 33118}, {33078, 49769}, {33126, 71536}, {33144, 54280}, {35263, 70516}, {36480, 62834}, {37593, 49489}, {37660, 70942}, {39586, 62842}, {39594, 66515}, {41011, 49710}, {42058, 72037}, {45313, 54279}, {49508, 71794}, {49988, 60714}, {56520, 69252}, {58386, 69543}, {59297, 63050}, {59312, 70419}, {61358, 63060}, {63100, 72002}, {69550, 70658}, {70159, 71204}

X(72208) = midpoint of X(i) and X(j) for these {i,j}: {1621, 32864}, {3219, 32914}
X(72208) = complement of X(32949)
X(72208) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 37652, 71925}, {2, 2308, 33682}, {8, 8616, 71918}, {9, 4362, 3971}, {31, 5278, 10}, {42, 19742, 71921}, {44, 1215, 71515}, {63, 16825, 24165}, {171, 17277, 71977}, {238, 333, 3741}, {239, 846, 4970}, {748, 1150, 3840}, {902, 4651, 71450}, {1001, 32853, 42057}, {1707, 4384, 3980}, {3578, 24542, 33081}, {3686, 59692, 21085}, {3720, 16704, 71922}, {3923, 5271, 62226}, {4388, 33138, 21241}, {4641, 24325, 71518}, {4921, 5284, 32919}, {4974, 59624, 3666}, {5259, 64072, 35633}, {14829, 17123, 4871}, {17018, 71923, 49685}, {17127, 31330, 49482}, {17349, 71476, 43}, {17763, 27065, 59517}, {19742, 71478, 42}, {21747, 59306, 70482}, {32911, 32917, 6685}, {32918, 37680, 6686}, {35466, 41002, 3846}, {60714, 71931, 49988}, {62849, 71936, 3244}

X(72209) = X(1)X(63057)∩X(10)X(20077)

X(72209) lies on these lines: {1, 63057}, {2, 21747}, {10, 20077}, {31, 29637}, {42, 20086}, {43, 63009}, {58, 19879}, {63, 32847}, {69, 3550}, {141, 72026}, {165, 6776}, {171, 1211}, {193, 42043}, {238, 72001}, {333, 71991}, {524, 60714}, {750, 72010}, {752, 14829}, {896, 33078}, {902, 32863}, {1150, 33109}, {1155, 32861}, {1707, 29674}, {2308, 33086}, {2887, 41806}, {3052, 33087}, {3218, 32866}, {3416, 4650}, {3474, 49474}, {3632, 4299}, {3679, 14552}, {3741, 20101}, {3769, 4655}, {3775, 72019}, {3791, 33068}, {3840, 72040}, {3961, 4001}, {4085, 41629}, {4090, 20072}, {4337, 69275}, {4362, 32857}, {4388, 71995}, {4421, 40341}, {4434, 33066}, {4450, 32919}, {4525, 56807}, {4640, 32846}, {4641, 33079}, {4645, 33138}, {4649, 44419}, {4660, 37683}, {4682, 24697}, {5361, 71989}, {5372, 33104}, {5737, 50301}, {5739, 56010}, {5847, 17596}, {6327, 33140}, {7081, 17770}, {7186, 22275}, {9340, 32779}, {9965, 49532}, {15485, 18141}, {16704, 32948}, {17126, 32783}, {17127, 72003}, {17236, 29842}, {17288, 29656}, {17364, 29670}, {17591, 51192}, {17763, 33099}, {19856, 70484}, {20064, 30942}, {20290, 29846}, {24943, 30652}, {26034, 29633}, {26792, 62659}, {28498, 33071}, {28512, 29840}, {28570, 33096}, {29640, 32949}, {29646, 62842}, {29659, 62812}, {29677, 30653}, {30614, 62865}, {31301, 71117}, {31330, 72039}, {32782, 72029}, {32843, 71479}, {32854, 67335}, {32913, 63134}, {32946, 71477}, {32947, 37639}, {33067, 33147}, {33074, 62795}, {33084, 37540}, {33102, 50756}, {36634, 63037}, {37604, 50295}, {37674, 50296}, {50315, 71910}, {54429, 59311}, {59679, 62998}, {69092, 72030}, {71984, 71990}

X(72209) = reflection of X(i) in X(j) for these {i,j}: {33106, 14829}, {62998, 59679}
X(72209) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 33085, 29637}, {31, 33172, 72025}, {171, 33082, 72004}, {896, 33078, 33164}, {3416, 4650, 33167}, {3741, 20101, 72036}, {3769, 4655, 33152}, {4645, 71489, 33138}, {17126, 33080, 32783}, {17127, 72007, 72003}, {20064, 30942, 72035}, {26034, 62841, 29633}, {33085, 72025, 33172}, {33172, 72025, 29637}

X(72210) = X(1)X(26061)∩X(2)X(11)

X(72210) lies on these lines: {1, 26061}, {2, 11}, {6, 33173}, {10, 62806}, {21, 19836}, {31, 29637}, {37, 1180}, {38, 29660}, {141, 17127}, {171, 29677}, {238, 24943}, {312, 26230}, {404, 49553}, {614, 32779}, {740, 29852}, {748, 32783}, {750, 72003}, {902, 33174}, {968, 3624}, {984, 29686}, {1125, 24165}, {1215, 29638}, {1279, 29667}, {1386, 32858}, {1617, 28780}, {1699, 56522}, {1962, 29646}, {2308, 33087}, {2975, 17526}, {3052, 33086}, {3242, 33166}, {3295, 56996}, {3436, 56987}, {3589, 17018}, {3616, 17698}, {3617, 25992}, {3666, 29666}, {3681, 17353}, {3685, 32774}, {3703, 17024}, {3744, 17357}, {3750, 29663}, {3763, 33083}, {3771, 32944}, {3772, 29871}, {3873, 5294}, {3877, 19869}, {3891, 17280}, {3896, 17367}, {3912, 62807}, {3920, 17279}, {3923, 33123}, {3932, 29815}, {3936, 70481}, {3938, 33159}, {3957, 38047}, {4000, 64010}, {4011, 32775}, {4023, 63096}, {4085, 71452}, {4188, 25914}, {4358, 29634}, {4383, 33175}, {4387, 33155}, {4388, 72018}, {4392, 44416}, {4417, 70483}, {4432, 32776}, {4443, 27658}, {4651, 17352}, {4671, 17061}, {4672, 33069}, {4676, 17184}, {4850, 59692}, {4966, 37685}, {4989, 50306}, {5057, 25527}, {5192, 11681}, {5231, 56521}, {5248, 19881}, {5253, 37176}, {5260, 13742}, {5550, 41818}, {5695, 33150}, {5718, 29866}, {5741, 70485}, {6327, 71873}, {6679, 30942}, {7191, 32777}, {7226, 71322}, {7290, 33075}, {7677, 56366}, {8616, 32781}, {11688, 56778}, {14923, 25904}, {15485, 69294}, {16020, 19822}, {16468, 33081}, {16477, 71941}, {16484, 29647}, {16706, 32929}, {17017, 33158}, {17023, 62840}, {17056, 29870}, {17122, 72005}, {17123, 72002}, {17124, 72029}, {17125, 72004}, {17126, 69092}, {17150, 17233}, {17165, 17354}, {17234, 70482}, {17283, 72016}, {17284, 33078}, {17290, 33102}, {17291, 32950}, {17342, 69301}, {17358, 69296}, {17380, 27804}, {17469, 29674}, {17550, 30176}, {17592, 29684}, {17597, 33170}, {17598, 33161}, {17599, 32849}, {17716, 29687}, {17717, 29865}, {17720, 29874}, {17721, 29872}, {18139, 70419}, {19866, 31259}, {23958, 59574}, {24217, 29863}, {24295, 29672}, {24325, 29853}, {25453, 32943}, {25496, 29632}, {25957, 49482}, {25959, 63979}, {26034, 70834}, {26037, 31289}, {26065, 62235}, {26128, 32930}, {26223, 33124}, {26724, 50314}, {26911, 56537}, {26986, 27263}, {27064, 33122}, {29596, 63134}, {29633, 62849}, {29642, 32772}, {29652, 33115}, {29654, 32915}, {29656, 32931}, {29665, 30818}, {29668, 33119}, {29675, 31264}, {29681, 44417}, {29818, 33169}, {29819, 33092}, {29821, 33156}, {29831, 32926}, {29836, 32920}, {29846, 37651}, {29848, 59511}, {29850, 32941}, {29851, 50302}, {29855, 33133}, {29858, 33105}, {29860, 33127}, {29867, 33141}, {29869, 33111}, {30811, 33107}, {30965, 39673}, {31134, 72035}, {31151, 72037}, {31237, 33106}, {31252, 71993}, {32864, 50311}, {32911, 33171}, {32949, 50300}, {33093, 38315}, {33117, 49473}, {33131, 49484}, {33144, 41242}, {33163, 62814}, {33165, 67210}, {49768, 62866}, {50315, 71923}, {52367, 56780}, {54311, 62838}, {63051, 71932}, {63074, 71937}, {72006, 72034}

X(72210) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 33157, 32862}, {2, 5263, 72014}, {2, 24552, 33108}, {2, 32942, 11680}, {2, 71978, 72013}, {31, 29637, 33172}, {171, 29677, 71999}, {238, 24943, 32782}, {748, 32783, 72000}, {3744, 17357, 29679}, {3923, 33123, 33146}, {7191, 32777, 33089}, {17284, 62834, 33078}, {24295, 29672, 32771}, {24943, 72028, 238}, {26128, 32930, 33151}, {29637, 72025, 31}, {29846, 70942, 37651}, {32783, 72030, 748}, {72002, 72032, 17123}, {72003, 72026, 750}, {72005, 72027, 17122}

X(72211) = X(2)X(41002)∩X(69)X(100)

X(72211) lies on these lines: {2, 41002}, {6, 33086}, {8, 2094}, {10, 62795}, {31, 29637}, {55, 32863}, {57, 33075}, {63, 32862}, {69, 100}, {81, 26034}, {141, 17126}, {144, 4756}, {171, 32782}, {238, 71999}, {320, 26227}, {333, 72014}, {519, 62868}, {524, 3240}, {599, 33175}, {748, 72009}, {750, 33082}, {752, 30942}, {896, 29674}, {902, 33087}, {940, 33083}, {1150, 4645}, {1155, 33077}, {1330, 11681}, {1376, 2895}, {1621, 63140}, {1654, 71983}, {1707, 33157}, {1999, 32950}, {2308, 33174}, {2886, 5372}, {2979, 22275}, {3052, 33173}, {3187, 33068}, {3218, 3416}, {3434, 37655}, {3474, 64010}, {3550, 33081}, {3578, 59296}, {3681, 4001}, {3687, 9352}, {3703, 67335}, {3758, 26251}, {3769, 17184}, {3791, 33125}, {3873, 49466}, {3883, 64149}, {3891, 26840}, {3912, 62838}, {3925, 5361}, {3936, 71477}, {3952, 17347}, {3966, 27003}, {3974, 20078}, {4003, 28538}, {4023, 61156}, {4026, 14996}, {4030, 4430}, {4062, 17601}, {4085, 71924}, {4357, 9347}, {4362, 33067}, {4388, 71984}, {4392, 5846}, {4413, 37656}, {4414, 32846}, {4416, 63961}, {4417, 20290}, {4427, 17233}, {4429, 16704}, {4434, 33065}, {4445, 46918}, {4450, 10453}, {4519, 28534}, {4588, 26231}, {4640, 32858}, {4641, 29679}, {4643, 5297}, {4650, 15523}, {4655, 17763}, {4660, 32919}, {4671, 17768}, {4683, 29649}, {4689, 17374}, {4767, 64015}, {4850, 5847}, {4966, 61155}, {4972, 37683}, {5220, 60459}, {5260, 54429}, {5284, 18141}, {5750, 52786}, {6327, 11680}, {7081, 32859}, {7232, 33148}, {7262, 29687}, {7752, 32031}, {9330, 17332}, {9342, 14555}, {9780, 49716}, {10032, 42032}, {11246, 28605}, {11679, 20292}, {11684, 54433}, {17012, 67964}, {17018, 44419}, {17122, 72008}, {17123, 72011}, {17124, 72010}, {17127, 69092}, {17135, 49719}, {17227, 26230}, {17232, 24542}, {17234, 71478}, {17284, 36277}, {17288, 33122}, {17295, 65166}, {17296, 35258}, {17297, 29830}, {17343, 70970}, {17349, 24988}, {17364, 46897}, {17377, 64161}, {17378, 29822}, {17449, 49506}, {17595, 32842}, {17596, 32852}, {17770, 32931}, {18139, 71476}, {20064, 32942}, {20095, 49460}, {20101, 24552}, {21081, 37572}, {23958, 69091}, {24589, 70969}, {24627, 33070}, {24695, 41242}, {25760, 50304}, {25882, 63088}, {25957, 71489}, {25958, 37646}, {25959, 35466}, {26073, 62989}, {28570, 30818}, {29633, 62846}, {29829, 71913}, {29854, 59624}, {29868, 61661}, {30950, 50296}, {30970, 50301}, {31134, 33140}, {31151, 71994}, {31303, 71934}, {32773, 37639}, {32781, 62841}, {32843, 37651}, {32847, 36263}, {32853, 32948}, {32912, 33079}, {32913, 33074}, {32916, 32949}, {32918, 32946}, {33112, 37660}, {33149, 50756}, {34255, 44447}, {37604, 69294}, {37633, 50295}, {37653, 71979}, {42045, 59297}, {42058, 71873}, {46909, 50289}, {49447, 50000}, {49452, 49995}, {49503, 49996}, {49999, 66099}, {50315, 71451}, {54291, 70923}, {54311, 62807}, {56010, 69300}, {60714, 71941}, {70909, 71759}

X(72211) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 33085, 33172}, {63, 33078, 32862}, {171, 33080, 32782}, {238, 72007, 71999}, {599, 37540, 33175}, {750, 33082, 72000}, {1150, 4645, 33108}, {3218, 3416, 33089}, {4362, 33067, 33146}, {4388, 71984, 72013}, {4450, 10453, 34611}, {4655, 17763, 33151}, {6327, 14829, 11680}, {20290, 71479, 4417}

X(72212) = X(1)X(4001)∩X(2)X(21747)

X(72212) lies on these lines: {1, 4001}, {2, 21747}, {10, 20101}, {31, 32782}, {43, 63037}, {44, 33079}, {63, 32866}, {69, 8616}, {141, 72025}, {171, 5743}, {193, 42042}, {238, 33085}, {333, 752}, {524, 3750}, {748, 72009}, {846, 5847}, {896, 33075}, {902, 2895}, {940, 50296}, {1150, 33106}, {1211, 72029}, {1707, 32778}, {1757, 63134}, {2308, 29633}, {3052, 33084}, {3219, 32847}, {3416, 7262}, {3550, 5739}, {3578, 32945}, {3632, 4330}, {3683, 32846}, {3741, 72035}, {3745, 24697}, {3757, 17770}, {3769, 4703}, {3775, 72016}, {3791, 24723}, {3883, 32913}, {3961, 4416}, {3966, 4650}, {3979, 34379}, {3980, 70969}, {4030, 49712}, {4085, 71915}, {4307, 59312}, {4362, 33099}, {4388, 33140}, {4428, 40341}, {4450, 32864}, {4640, 32861}, {4641, 33076}, {4643, 17716}, {4645, 71996}, {4655, 33147}, {4660, 37652}, {4683, 33152}, {4685, 62989}, {4921, 33136}, {4974, 33068}, {5255, 49716}, {5278, 71991}, {5361, 33104}, {5372, 71988}, {6327, 33138}, {14555, 56010}, {14829, 71990}, {16468, 26034}, {16704, 32947}, {17122, 41002}, {17126, 72004}, {17127, 29637}, {17288, 29672}, {17347, 32920}, {17364, 29651}, {17592, 67964}, {19732, 50301}, {19742, 32948}, {19856, 70482}, {20064, 31330}, {20078, 49532}, {20290, 29632}, {24943, 30653}, {26840, 50023}, {27064, 49710}, {28498, 33073}, {28570, 33097}, {29640, 32946}, {30652, 72002}, {30942, 72040}, {31137, 37655}, {32852, 62838}, {32857, 32914}, {32949, 71478}, {33081, 70834}, {33100, 50756}, {33172, 72030}, {37653, 49482}, {40998, 70219}, {42043, 63009}, {44447, 49474}, {49994, 72055}, {50295, 62841}, {50305, 62240}, {50315, 71911}, {59679, 63002}, {61155, 71941}, {70972, 72019}

X(72212) = reflection of X(i) in X(j) for these {i,j}: {33073, 59624}, {33109, 333}
X(72212) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {10, 20101, 72039}, {31, 32782, 72026}, {31, 33082, 32783}, {238, 33085, 72003}, {896, 33075, 33167}, {2308, 33083, 29633}, {3416, 7262, 33164}, {4388, 71489, 33140}, {17126, 72008, 72004}, {17127, 33080, 29637}, {20064, 31330, 72036}, {32782, 72026, 32783}, {32946, 71476, 29640}, {33082, 72026, 32782}

X(72213) = X(1)X(32779)∩X(2)X(11)

X(72213) lies on these lines: {1, 32779}, {2, 11}, {6, 33175}, {8, 17698}, {31, 32782}, {37, 9465}, {75, 26230}, {81, 33171}, {86, 29830}, {141, 17126}, {171, 24943}, {238, 72000}, {244, 29660}, {306, 62807}, {321, 29634}, {404, 19836}, {451, 11383}, {495, 51672}, {612, 33157}, {740, 29636}, {748, 72004}, {750, 29637}, {894, 33122}, {902, 32784}, {940, 33173}, {982, 29686}, {1125, 4850}, {1211, 17127}, {1215, 29848}, {1386, 33077}, {2177, 29633}, {2308, 33084}, {2345, 26228}, {2975, 37176}, {3052, 33083}, {3240, 3589}, {3242, 33170}, {3436, 56986}, {3550, 32781}, {3583, 48811}, {3616, 17740}, {3666, 29648}, {3681, 5294}, {3703, 29815}, {3722, 29659}, {3744, 29667}, {3745, 32858}, {3750, 29647}, {3752, 29666}, {3763, 33086}, {3771, 32772}, {3772, 29874}, {3871, 19784}, {3891, 29838}, {3912, 9347}, {3920, 32777}, {3923, 32775}, {3935, 38047}, {3936, 70419}, {3938, 32780}, {3952, 17354}, {3961, 26061}, {3980, 33123}, {4023, 14997}, {4085, 71451}, {4316, 48808}, {4357, 35263}, {4361, 46918}, {4363, 33148}, {4389, 4427}, {4392, 71322}, {4418, 26128}, {4422, 9330}, {4645, 72017}, {4649, 71939}, {4671, 17602}, {4672, 33065}, {4676, 26580}, {4689, 17384}, {4697, 33069}, {4756, 54389}, {4966, 14996}, {5080, 11354}, {5224, 71478}, {5233, 70483}, {5260, 17526}, {5269, 33078}, {5297, 17279}, {5311, 33158}, {5687, 56735}, {5695, 33155}, {5741, 70481}, {6327, 72016}, {6679, 31330}, {6703, 29814}, {7226, 44416}, {8616, 69294}, {9709, 56996}, {11681, 13740}, {15523, 17716}, {16468, 69300}, {16478, 20653}, {17017, 33160}, {17024, 69091}, {17056, 29866}, {17061, 28605}, {17122, 29677}, {17123, 72006}, {17124, 72003}, {17125, 72030}, {17272, 36277}, {17289, 26227}, {17305, 65166}, {17306, 35258}, {17349, 70970}, {17353, 63961}, {17368, 46897}, {17369, 17724}, {17371, 26251}, {17380, 64161}, {17381, 29822}, {17397, 70998}, {17398, 17756}, {17469, 32778}, {17566, 19864}, {17572, 25914}, {17592, 68945}, {17599, 33168}, {17601, 25539}, {17715, 29685}, {17723, 27757}, {18134, 70482}, {18139, 70484}, {19684, 29839}, {19785, 64010}, {19786, 32929}, {19861, 33178}, {19868, 54357}, {19881, 25440}, {20067, 48801}, {20292, 25527}, {20992, 27270}, {24295, 32931}, {24325, 29638}, {24342, 29860}, {24611, 31435}, {24789, 29871}, {25453, 32945}, {25496, 29846}, {25760, 49482}, {25958, 63979}, {25992, 46933}, {26098, 30831}, {26115, 37036}, {26223, 33126}, {27252, 70406}, {28606, 59692}, {29604, 52786}, {29631, 32941}, {29632, 50302}, {29635, 32943}, {29645, 32915}, {29646, 46904}, {29652, 33119}, {29654, 32860}, {29656, 32771}, {29663, 60714}, {29665, 44417}, {29672, 59628}, {29681, 31993}, {29816, 33092}, {29819, 32855}, {29829, 68969}, {29831, 32922}, {29833, 49470}, {29834, 32921}, {29837, 71928}, {29842, 32928}, {29855, 33129}, {29856, 33136}, {29859, 33128}, {29863, 33141}, {29865, 33111}, {29867, 32865}, {29868, 71938}, {30176, 33840}, {30811, 33112}, {30832, 71873}, {30957, 58443}, {31134, 72036}, {31151, 72041}, {31237, 33109}, {31252, 72043}, {32774, 32932}, {32842, 38315}, {32843, 50300}, {32919, 50311}, {32944, 37651}, {33075, 62834}, {33081, 62841}, {33088, 62855}, {33115, 36480}, {33120, 49473}, {33134, 49484}, {33169, 67210}, {33305, 52653}, {35892, 61728}, {36505, 49598}, {37685, 71937}, {41809, 70718}, {43223, 71573}, {48647, 50289}, {48803, 54391}, {49511, 62795}, {50295, 70834}, {50315, 71924}, {59406, 62236}, {59574, 67335}, {62840, 69544}, {72005, 72033}

X(72213) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 32779, 33089}, {2, 5263, 33108}, {2, 24552, 11680}, {2, 32942, 72013}, {2, 61155, 4026}, {2, 71979, 72014}, {31, 32783, 32782}, {171, 24943, 33172}, {238, 72002, 72000}, {750, 29637, 71999}, {3763, 37540, 33086}, {3920, 32777, 32862}, {3923, 32775, 33151}, {4357, 35263, 62838}, {4418, 26128, 33146}, {24943, 72027, 171}, {29637, 72029, 750}, {29677, 72031, 17122}, {29855, 50314, 33129}, {32783, 72026, 31}, {72004, 72025, 748}, {72006, 72028, 17123}

X(72214) = X(2)X(41002)∩X(8)X(30)

X(72214) lies on these lines: {2, 41002}, {6, 33083}, {8, 30}, {9, 33078}, {11, 5372}, {31, 32782}, {44, 29679}, {55, 2895}, {63, 29046}, {69, 1621}, {72, 30438}, {81, 50295}, {100, 5739}, {141, 17127}, {171, 72000}, {238, 29677}, {239, 32950}, {306, 62838}, {319, 32929}, {333, 6327}, {524, 17018}, {599, 33173}, {748, 33085}, {750, 72010}, {752, 31330}, {846, 32852}, {896, 32778}, {902, 33084}, {1001, 32863}, {1150, 4388}, {1211, 17126}, {1376, 37656}, {1654, 20101}, {1707, 32779}, {1757, 33074}, {2308, 32784}, {2886, 5361}, {2975, 19262}, {3052, 33175}, {3060, 22275}, {3187, 24723}, {3218, 3966}, {3219, 3416}, {3240, 44419}, {3434, 14552}, {3550, 69300}, {3681, 4416}, {3683, 32858}, {3715, 60459}, {3720, 50296}, {3744, 17344}, {3750, 71941}, {3757, 32859}, {3769, 26580}, {3791, 32776}, {3873, 3883}, {3879, 62840}, {3891, 6646}, {3896, 17363}, {3920, 4643}, {3936, 71476}, {3974, 4756}, {4026, 37685}, {4030, 4661}, {4042, 33110}, {4061, 63145}, {4085, 71923}, {4302, 4720}, {4357, 62807}, {4359, 70969}, {4361, 33102}, {4362, 4683}, {4383, 33086}, {4389, 17150}, {4414, 32861}, {4418, 50308}, {4429, 19742}, {4553, 26911}, {4640, 33077}, {4641, 29667}, {4644, 50274}, {4645, 5278}, {4650, 69252}, {4651, 17346}, {4655, 32914}, {4660, 32864}, {4684, 62862}, {4703, 17763}, {4722, 29659}, {4921, 33137}, {4972, 37652}, {4974, 33125}, {4981, 50289}, {5057, 11679}, {5080, 5774}, {5220, 33091}, {5224, 70482}, {5233, 71479}, {5263, 20064}, {5271, 20292}, {5311, 24697}, {5711, 26064}, {5737, 33112}, {5741, 71477}, {5814, 56288}, {5846, 7226}, {5847, 28606}, {7262, 15523}, {8616, 33081}, {9342, 63003}, {10327, 54280}, {14829, 72013}, {16468, 32781}, {16477, 29663}, {16704, 32773}, {16825, 33067}, {17011, 67964}, {17122, 72012}, {17123, 72007}, {17125, 72009}, {17135, 34611}, {17165, 17347}, {17237, 29648}, {17271, 42058}, {17272, 62834}, {17336, 69301}, {17350, 69296}, {17377, 27804}, {17768, 28605}, {17770, 32771}, {17784, 63001}, {18134, 20290}, {20011, 50277}, {20012, 50074}, {24552, 37653}, {24690, 63818}, {24841, 70455}, {25760, 71489}, {25957, 50304}, {25958, 35466}, {26034, 32911}, {26227, 33066}, {28508, 62226}, {28570, 31993}, {29321, 63147}, {29643, 59624}, {29829, 41629}, {29837, 71914}, {29864, 61661}, {30116, 49723}, {31134, 33138}, {31151, 71998}, {31303, 71935}, {32843, 32916}, {32853, 32947}, {32866, 36263}, {32912, 33076}, {32917, 32946}, {32918, 37651}, {33070, 38000}, {33088, 62796}, {33107, 37660}, {33154, 50756}, {33171, 70834}, {41809, 70484}, {41816, 72019}, {48652, 59664}, {48839, 56191}, {49511, 62806}, {50284, 62851}, {50290, 62801}, {50301, 59306}, {50315, 71452}, {52786, 64017}, {54341, 70514}, {61155, 71937}, {62841, 69294}, {62989, 71932}, {63100, 71981}, {64083, 71257}, {67335, 69091}

X(72214) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 3648, 50044}, {8, 4450, 49719}, {8, 44446, 50043}, {8, 44447, 64010}, {31, 33082, 32782}, {63, 33075, 33089}, {171, 72008, 72000}, {238, 33080, 33172}, {333, 6327, 33108}, {748, 33085, 71999}, {1150, 4388, 11680}, {1654, 20101, 71979}, {3219, 3416, 32862}, {3578, 4450, 8}, {3883, 4001, 3873}, {4362, 4683, 33151}, {4416, 63134, 3681}, {4645, 5278, 72014}, {4655, 32914, 33146}, {5739, 63140, 100}, {20290, 71478, 18134}

X(72215) = X(1)X(20086)∩X(2)X(21747)

X(72215) lies on these lines: {1, 20086}, {2, 21747}, {10, 20064}, {31, 1211}, {42, 63009}, {44, 33074}, {81, 50296}, {141, 72028}, {171, 72012}, {238, 29677}, {333, 33104}, {524, 62849}, {748, 72001}, {750, 41002}, {752, 5278}, {896, 3966}, {899, 63140}, {902, 5739}, {1150, 71988}, {1201, 54429}, {1621, 71941}, {1707, 69252}, {1962, 67964}, {2308, 29647}, {2895, 8616}, {3052, 69300}, {3219, 32854}, {3550, 37656}, {3578, 32941}, {3617, 70494}, {3683, 32852}, {3720, 63057}, {3741, 72038}, {3883, 32912}, {3915, 49716}, {3938, 4416}, {3989, 51192}, {4062, 4512}, {4085, 63060}, {4307, 59306}, {4365, 5698}, {4388, 24892}, {4418, 70969}, {4643, 17469}, {4645, 71998}, {4660, 19742}, {4683, 33143}, {4914, 71795}, {4921, 33141}, {4974, 32950}, {5361, 33106}, {5372, 71990}, {5743, 72033}, {6327, 71994}, {6536, 62845}, {7262, 33075}, {14552, 31136}, {14829, 71992}, {15485, 32863}, {16468, 29663}, {16469, 29684}, {16885, 69298}, {17123, 72011}, {17126, 72006}, {17127, 24943}, {17257, 29816}, {17272, 29686}, {17277, 71993}, {17288, 29853}, {17346, 32945}, {17347, 32923}, {17349, 32948}, {18228, 62659}, {19750, 48829}, {20101, 26037}, {20290, 29642}, {21020, 64016}, {24697, 62807}, {25760, 41806}, {26223, 49710}, {29661, 32946}, {29662, 71489}, {29678, 32843}, {30652, 72004}, {30653, 32783}, {30942, 72042}, {31303, 42057}, {32861, 62838}, {32864, 71940}, {32914, 33098}, {32947, 37652}, {33070, 59624}, {33084, 70834}, {33085, 72005}, {34379, 67209}, {42039, 49681}, {42058, 63100}, {49723, 62828}, {50315, 71909}, {51196, 67208}, {62818, 69642}, {69092, 72034}, {70972, 72017}, {71984, 72044}, {71987, 72043}, {72000, 72031}

X(72215) = reflection of X(71989) in X(5278)
X(72215) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {10, 20064, 72037}, {31, 1211, 72027}, {31, 72008, 72002}, {238, 33080, 29677}, {238, 33172, 72032}, {1211, 72027, 72002}, {2308, 50295, 29647}, {2895, 8616, 71939}, {7262, 33075, 33161}, {16468, 33083, 29663}, {17126, 72010, 72006}, {17127, 33082, 24943}, {20101, 26037, 72041}, {32843, 71476, 29678}, {32946, 71478, 29661}, {32947, 37652, 71942}, {33080, 72032, 33172}, {33172, 72032, 29677}, {72008, 72027, 1211}

X(72216) = X(1)X(3704)∩X(2)X(11)

X(72216) lies on these lines: {1, 3704}, {2, 11}, {10, 1104}, {12, 964}, {31, 1211}, {35, 13728}, {37, 1196}, {43, 3589}, {44, 4104}, {63, 59574}, {75, 17061}, {81, 33175}, {86, 29839}, {141, 171}, {165, 17306}, {197, 405}, {200, 38047}, {210, 5294}, {238, 5743}, {244, 29686}, {306, 3745}, {321, 17602}, {474, 8193}, {495, 50059}, {524, 33084}, {594, 4362}, {595, 24931}, {612, 3932}, {740, 29645}, {748, 5241}, {750, 24943}, {846, 4364}, {894, 33126}, {902, 69294}, {910, 5257}, {940, 4966}, {958, 37176}, {982, 71322}, {984, 44416}, {999, 48803}, {1009, 52139}, {1010, 25466}, {1086, 3980}, {1100, 4028}, {1125, 3752}, {1155, 54311}, {1213, 4386}, {1215, 17369}, {1220, 12607}, {1329, 13740}, {1386, 3687}, {1478, 16394}, {1575, 17398}, {1707, 4643}, {1852, 17555}, {1961, 17243}, {2049, 10198}, {2177, 29647}, {2308, 69300}, {2551, 56986}, {3011, 31993}, {3052, 50295}, {3085, 37037}, {3187, 4046}, {3416, 5269}, {3421, 48832}, {3550, 32784}, {3584, 50323}, {3585, 50391}, {3661, 3769}, {3683, 35263}, {3694, 5750}, {3695, 30142}, {3696, 40940}, {3698, 25904}, {3703, 3920}, {3712, 28606}, {3722, 29685}, {3740, 17353}, {3741, 37646}, {3753, 19869}, {3756, 29668}, {3757, 19808}, {3759, 70973}, {3771, 17056}, {3772, 50314}, {3775, 71489}, {3782, 4418}, {3791, 17362}, {3822, 37150}, {3840, 58443}, {3846, 49482}, {3896, 29833}, {3912, 4682}, {3923, 4415}, {3936, 70482}, {3961, 32780}, {3966, 62834}, {3967, 17355}, {3971, 17340}, {4023, 32911}, {4030, 29667}, {4035, 4349}, {4042, 24597}, {4085, 71450}, {4126, 33166}, {4195, 57288}, {4199, 8053}, {4205, 5248}, {4239, 20988}, {4293, 48801}, {4302, 50056}, {4357, 4640}, {4359, 26230}, {4363, 33144}, {4388, 30832}, {4417, 70419}, {4438, 36480}, {4472, 29675}, {4512, 33305}, {4645, 72019}, {4657, 17594}, {4672, 69299}, {4697, 17365}, {4733, 5271}, {4734, 17380}, {4850, 29648}, {4854, 32929}, {4884, 33167}, {4970, 17395}, {4981, 56520}, {5051, 6284}, {5220, 26065}, {5224, 71476}, {5233, 70481}, {5268, 17279}, {5285, 37266}, {5297, 33157}, {5311, 33156}, {5550, 30543}, {5687, 19784}, {5718, 29846}, {5737, 19761}, {5745, 19868}, {5749, 25568}, {5846, 17716}, {5880, 25527}, {5955, 69267}, {6327, 72017}, {6536, 70520}, {6675, 19858}, {6857, 15509}, {7081, 7792}, {7227, 17725}, {7228, 33103}, {7262, 17332}, {7263, 33147}, {7354, 11115}, {7483, 19863}, {7807, 27274}, {8583, 54295}, {9053, 33169}, {9347, 32858}, {9709, 56735}, {9780, 25992}, {10056, 51590}, {10371, 62809}, {11236, 51670}, {11237, 51591}, {11246, 17184}, {11358, 59701}, {12943, 50061}, {13161, 50054}, {13747, 19864}, {15326, 16393}, {15338, 17676}, {16830, 33116}, {17045, 17592}, {17063, 29660}, {17122, 29637}, {17123, 72025}, {17124, 29677}, {17125, 72028}, {17126, 32782}, {17127, 41002}, {17245, 29642}, {17246, 32934}, {17330, 70972}, {17337, 71977}, {17352, 26038}, {17354, 27538}, {17357, 62673}, {17366, 29654}, {17381, 59297}, {17394, 66530}, {17469, 69252}, {17490, 59477}, {17599, 17740}, {17670, 30176}, {17688, 26558}, {17724, 29848}, {17726, 29849}, {17757, 51672}, {17768, 27184}, {17790, 70487}, {18134, 70484}, {19528, 22654}, {19742, 70970}, {19786, 32932}, {19822, 26228}, {19854, 56779}, {20106, 64174}, {20653, 62847}, {20872, 59353}, {20986, 68488}, {20989, 37325}, {21060, 50115}, {24210, 49484}, {24295, 59511}, {24325, 29656}, {24342, 33130}, {24789, 29855}, {24953, 56778}, {25440, 56734}, {25496, 37662}, {25557, 33124}, {25760, 63979}, {26034, 37540}, {26083, 71529}, {26724, 29871}, {28530, 33154}, {28556, 62229}, {29631, 32945}, {29633, 60714}, {29635, 32941}, {29636, 32860}, {29655, 49473}, {29815, 33089}, {29816, 32848}, {29829, 71929}, {29834, 32924}, {29837, 68969}, {29838, 32922}, {29841, 49470}, {29842, 32921}, {29845, 32943}, {29847, 32915}, {29856, 32865}, {29859, 33132}, {29860, 34824}, {29863, 33136}, {29874, 33129}, {30831, 33112}, {30942, 37634}, {31134, 72037}, {31237, 71989}, {31247, 70834}, {31330, 35466}, {32842, 62855}, {32853, 61661}, {32866, 51147}, {32944, 37663}, {33077, 62807}, {33087, 37604}, {33123, 40688}, {33155, 64010}, {33173, 37633}, {33174, 34573}, {37036, 64123}, {37059, 56366}, {37065, 37579}, {37317, 39582}, {37593, 69544}, {37715, 48863}, {41014, 62805}, {41809, 71478}, {44417, 66632}, {45398, 56386}, {45399, 56385}, {46904, 68945}, {47358, 62823}, {48648, 50000}, {49486, 70517}, {49728, 54354}, {50315, 71922}, {50322, 65631}, {51126, 56009}, {51415, 70942}, {59312, 62689}, {59536, 62818}, {59592, 62871}, {61647, 70516}, {62821, 71939}, {62842, 67964}, {62846, 71941}, {68984, 69135}

X(72216) = midpoint of X(i) and X(j) for these {i,j}: {17716, 32778}, {33084, 62841}
X(72216) = complement of X(32773)
X(72216) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 55, 4026}, {2, 5263, 2886}, {2, 24552, 11}, {2, 32942, 3816}, {2, 71907, 48821}, {2, 71979, 3925}, {2, 71981, 3826}, {31, 72002, 1211}, {75, 29634, 17061}, {81, 33175, 71937}, {171, 32783, 141}, {238, 72004, 5743}, {474, 19836, 25914}, {612, 32777, 3932}, {748, 72006, 5241}, {750, 24943, 69092}, {940, 33171, 4966}, {1961, 33158, 17243}, {3550, 32784, 44419}, {3771, 50302, 17056}, {3791, 21085, 17362}, {3816, 48810, 32942}, {3920, 32779, 3703}, {3925, 71979, 49725}, {3961, 32780, 49524}, {3980, 26128, 1086}, {4364, 59580, 846}, {4418, 32775, 3782}, {4697, 33064, 17365}, {17122, 29637, 72001}, {17127, 72000, 41002}, {19786, 32932, 66071}, {24295, 59726, 59511}, {24943, 72031, 750}, {29631, 32945, 71938}, {29656, 59628, 24325}, {29677, 72033, 17124}, {29846, 32772, 5718}, {29848, 32771, 17724}, {30832, 72016, 4388}, {32783, 72029, 171}, {72002, 72027, 31}, {72004, 72026, 238}

X(72217) = X(1)X(524)∩X(8)X(190)

X(72217) lies on these lines: {1, 524}, {2, 41002}, {6, 4026}, {8, 190}, {9, 3416}, {10, 44}, {11, 1150}, {31, 1211}, {37, 5847}, {43, 44419}, {51, 22275}, {55, 5739}, {56, 54429}, {63, 3966}, {69, 1001}, {72, 674}, {75, 17768}, {100, 4023}, {141, 238}, {145, 49746}, {171, 5743}, {192, 71320}, {200, 71257}, {210, 49991}, {239, 24723}, {306, 3683}, {307, 1456}, {319, 3685}, {320, 16823}, {325, 52133}, {333, 2651}, {354, 4001}, {386, 70514}, {390, 49460}, {391, 2550}, {497, 14552}, {516, 3686}, {518, 3883}, {519, 49449}, {527, 49483}, {545, 49493}, {573, 29207}, {594, 3923}, {597, 16477}, {726, 17334}, {740, 17362}, {748, 33080}, {750, 5241}, {846, 32861}, {896, 69252}, {902, 69300}, {956, 5848}, {960, 9025}, {966, 4307}, {984, 5846}, {1086, 4655}, {1100, 50290}, {1125, 17237}, {1203, 13728}, {1213, 50302}, {1278, 28556}, {1279, 17344}, {1284, 15991}, {1330, 25466}, {1376, 14555}, {1386, 4357}, {1441, 60883}, {1503, 6210}, {1621, 2895}, {1654, 5263}, {1698, 49731}, {1707, 59574}, {1738, 17348}, {1743, 38047}, {1757, 33076}, {1836, 5271}, {2269, 66652}, {2308, 69294}, {2321, 51090}, {2796, 50098}, {2975, 37781}, {3035, 5233}, {3058, 3578}, {3187, 4854}, {3219, 3703}, {3434, 4042}, {3555, 9038}, {3564, 31394}, {3589, 16468}, {3616, 17378}, {3617, 49720}, {3620, 8692}, {3622, 50133}, {3624, 49738}, {3626, 28562}, {3629, 4649}, {3630, 16484}, {3631, 15485}, {3634, 50299}, {3661, 4676}, {3679, 49726}, {3681, 4030}, {3687, 4640}, {3704, 5814}, {3712, 33077}, {3714, 12572}, {3715, 10327}, {3717, 15481}, {3739, 28570}, {3757, 33066}, {3773, 17340}, {3775, 49482}, {3782, 4683}, {3790, 17336}, {3791, 4425}, {3816, 14829}, {3821, 4974}, {3826, 4645}, {3836, 17337}, {3842, 28498}, {3844, 17353}, {3846, 37646}, {3868, 66027}, {3879, 15569}, {3912, 15254}, {3925, 5278}, {3936, 71478}, {3993, 17388}, {4003, 49987}, {4046, 32929}, {4062, 70520}, {4078, 16814}, {4085, 71921}, {4101, 37080}, {4126, 33091}, {4205, 62805}, {4349, 5257}, {4359, 11246}, {4360, 9791}, {4361, 24248}, {4362, 4415}, {4363, 24695}, {4383, 26034}, {4384, 5880}, {4395, 33149}, {4399, 28530}, {4413, 63003}, {4417, 6690}, {4419, 17224}, {4422, 29674}, {4429, 17349}, {4432, 49560}, {4450, 4651}, {4471, 13723}, {4644, 39581}, {4657, 16475}, {4659, 60905}, {4684, 42819}, {4686, 28526}, {4690, 49484}, {4709, 17764}, {4715, 50305}, {4722, 29685}, {4732, 28494}, {4733, 17275}, {4743, 50018}, {4831, 62795}, {4864, 49505}, {4884, 32866}, {4886, 32932}, {4914, 63147}, {4921, 33142}, {4969, 49488}, {4971, 49452}, {4972, 19742}, {4987, 64307}, {5016, 21677}, {5223, 49688}, {5224, 70419}, {5235, 33112}, {5248, 41014}, {5250, 10371}, {5284, 32863}, {5361, 11680}, {5372, 72013}, {5432, 5741}, {5434, 50215}, {5688, 31594}, {5689, 31595}, {5692, 9024}, {5718, 32843}, {5737, 26098}, {5750, 64017}, {5839, 49486}, {5849, 54410}, {5852, 17347}, {5861, 71701}, {5904, 9054}, {6154, 71927}, {6646, 32922}, {6703, 62841}, {6707, 43997}, {7090, 45445}, {7172, 59597}, {7174, 49681}, {7262, 32778}, {7263, 32857}, {7290, 17272}, {8167, 18141}, {8616, 33084}, {9041, 49503}, {9052, 64581}, {9053, 49448}, {10453, 49736}, {11679, 24703}, {14121, 45444}, {15171, 49718}, {15172, 50625}, {15534, 48830}, {15601, 17284}, {15983, 39873}, {16469, 17306}, {16671, 59408}, {16777, 50284}, {16830, 17256}, {17056, 32946}, {17061, 27184}, {17123, 33085}, {17125, 72007}, {17126, 72000}, {17127, 32782}, {17233, 71524}, {17243, 32846}, {17246, 32921}, {17251, 50303}, {17253, 38315}, {17257, 51192}, {17264, 72051}, {17271, 48810}, {17296, 66515}, {17331, 50289}, {17333, 28503}, {17345, 24231}, {17363, 49470}, {17365, 17770}, {17381, 71328}, {17384, 38049}, {17395, 49477}, {17398, 33682}, {17602, 26580}, {17724, 33065}, {17765, 49510}, {17766, 49457}, {17767, 50117}, {17769, 49520}, {17771, 49479}, {18139, 20290}, {18253, 69279}, {19643, 52379}, {19987, 67726}, {20064, 63100}, {20101, 71981}, {21296, 38053}, {21965, 36405}, {22325, 23638}, {23151, 45728}, {24280, 42696}, {24542, 31017}, {24841, 70454}, {25354, 50293}, {25760, 35466}, {25960, 37634}, {26064, 57280}, {26105, 37655}, {26251, 41241}, {27065, 33078}, {28333, 31178}, {28472, 49445}, {28512, 50288}, {28534, 50095}, {28538, 49476}, {28558, 49727}, {28580, 49468}, {29046, 49132}, {29353, 49131}, {29635, 61661}, {29671, 59624}, {29829, 71916}, {29837, 41629}, {30116, 48839}, {31134, 71994}, {31143, 33175}, {31303, 71933}, {31330, 49724}, {31339, 49745}, {31993, 41011}, {32087, 63975}, {32099, 52653}, {32773, 37652}, {32842, 62796}, {32850, 60731}, {32855, 59583}, {32864, 32947}, {32911, 33083}, {32916, 37662}, {32918, 37663}, {32942, 37653}, {33067, 40688}, {33071, 38000}, {33086, 37680}, {33093, 33761}, {33111, 62689}, {33160, 59580}, {33299, 71757}, {34016, 69254}, {34379, 49478}, {35628, 37516}, {36479, 64070}, {37654, 48829}, {37658, 50441}, {39542, 54335}, {41310, 50781}, {41311, 51005}, {41313, 50950}, {41809, 70482}, {41816, 72016}, {42012, 71246}, {42056, 49994}, {42058, 72017}, {42448, 70616}, {44412, 69602}, {48821, 68966}, {49458, 53534}, {49463, 50017}, {49471, 71333}, {49473, 49705}, {49475, 63977}, {49499, 50310}, {49730, 59312}, {49732, 59296}, {50113, 71874}, {50286, 66451}, {50315, 71414}, {50316, 66454}, {50616, 69624}, {52367, 64401}, {54354, 65543}, {56082, 69089}, {62674, 69264}, {62849, 71941}, {62989, 71934}, {63978, 64174}

X(72217) = midpoint of X(i) and X(j) for these {i,j}: {3883, 4416}, {17347, 24349}, {17363, 49470}, {49448, 49506}, {49746, 50074}
X(72217) = reflection of X(i) in X(j) for these {i,j}: {984, 17332}, {3696, 3686}, {3868, 66027}, {3879, 15569}, {17365, 24325}, {17388, 3993}, {17392, 50297}, {49474, 4399}, {49475, 63977}, {49725, 17330}, {49740, 50296}, {50301, 49731}, {50307, 3739}, {64174, 63978}
X(72217) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 24697, 4364}, {6, 50295, 4026}, {8, 5698, 5695}, {8, 54280, 5220}, {9, 3416, 3932}, {10, 4672, 17369}, {10, 49710, 4672}, {31, 72008, 1211}, {63, 3966, 69091}, {69, 1001, 4966}, {100, 37656, 4023}, {171, 72010, 5743}, {238, 33082, 141}, {239, 24723, 66071}, {320, 16823, 25557}, {333, 4388, 2886}, {748, 33080, 69092}, {750, 72012, 5241}, {1279, 17344, 49511}, {1621, 2895, 71937}, {1757, 33076, 49524}, {3219, 33075, 3703}, {3821, 4974, 17366}, {3846, 71489, 37646}, {3923, 50308, 594}, {4362, 4703, 4415}, {4417, 71476, 6690}, {4450, 4651, 34612}, {4645, 17277, 3826}, {4655, 16825, 1086}, {4683, 32914, 3782}, {5233, 71477, 3035}, {5278, 6327, 3925}, {5814, 12514, 3704}, {5839, 64168, 49486}, {7262, 32778, 44416}, {14555, 63140, 1376}, {16468, 32784, 3589}, {16477, 29633, 597}, {17123, 33085, 72001}, {17275, 50314, 4733}, {17275, 64016, 50314}, {20064, 63100, 71979}, {31143, 70834, 33175}, {32843, 32917, 5718}, {32864, 32947, 71938}, {33077, 62838, 3712}, {33682, 50298, 17398}, {49724, 63979, 31330}, {50290, 51196, 1100}

X(72218) = X(2)X(21747)∩X(31)X(29677)

X(72218) lies on these lines: {2, 21747}, {31, 29677}, {100, 71941}, {141, 72027}, {165, 4062}, {171, 32782}, {238, 72011}, {329, 62659}, {333, 71993}, {750, 5743}, {752, 71984}, {899, 63037}, {1150, 71989}, {1155, 32852}, {1211, 72033}, {1707, 29687}, {2895, 56010}, {3218, 32854}, {3474, 4365}, {3550, 32863}, {3720, 63140}, {3731, 69642}, {3741, 72037}, {3769, 33067}, {3775, 72021}, {3840, 20064}, {4030, 54352}, {4085, 71914}, {4307, 31241}, {4312, 48642}, {4388, 71997}, {4434, 32859}, {4645, 24892}, {4650, 33078}, {4660, 37639}, {4685, 31303}, {5278, 72043}, {5361, 71991}, {5372, 33109}, {6327, 29662}, {9340, 32777}, {9352, 32861}, {14829, 33104}, {17122, 72012}, {17126, 24943}, {17127, 72005}, {17288, 29848}, {17298, 29689}, {17374, 63211}, {17763, 33098}, {20075, 50001}, {20086, 42043}, {20101, 30942}, {23958, 32866}, {26034, 29647}, {26073, 71920}, {26688, 49710}, {29637, 30652}, {29663, 33086}, {29678, 32949}, {29684, 62842}, {29828, 64164}, {30653, 72003}, {30957, 72042}, {31034, 59679}, {31134, 37646}, {31136, 37655}, {31330, 72041}, {32847, 67335}, {32919, 71940}, {32946, 71479}, {32947, 37684}, {32948, 37683}, {33079, 62795}, {33081, 37540}, {33082, 72006}, {33083, 37604}, {42038, 49681}, {44419, 62821}, {50315, 71908}, {70972, 72023}, {71489, 71994}, {71985, 71992}, {71986, 72044}, {71999, 72032}, {72001, 72034}

X(72218) = reflection of X(71988) in X(71984)
X(72218) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 69092, 72028}, {31, 72007, 29677}, {171, 32782, 72031}, {171, 33080, 72002}, {3550, 32863, 71939}, {3769, 33067, 33143}, {3840, 20064, 72038}, {4650, 33078, 33161}, {17126, 33085, 24943}, {17127, 72009, 72005}, {32782, 72031, 72002}, {32948, 37683, 71942}, {32949, 71477, 29678}, {33080, 72031, 32782}, {33086, 62841, 29663}, {69092, 72028, 29677}, {72007, 72028, 69092}

X(72219) = X(2)X(11)∩X(37)X(39)

X(72219) lies on these lines: {1, 3589}, {2, 11}, {3, 25914}, {6, 4966}, {8, 17285}, {10, 1279}, {12, 5192}, {31, 29677}, {37, 39}, {44, 49511}, {56, 17526}, {57, 59574}, {140, 31394}, {141, 238}, {171, 72001}, {312, 17061}, {344, 3616}, {346, 49453}, {354, 5294}, {388, 56987}, {392, 19869}, {404, 20872}, {405, 19836}, {474, 1486}, {499, 56779}, {518, 17353}, {519, 4989}, {524, 16468}, {551, 4078}, {594, 16825}, {597, 4649}, {614, 32777}, {740, 17366}, {748, 1211}, {750, 72005}, {756, 29686}, {894, 25557}, {958, 13742}, {978, 65543}, {982, 44416}, {984, 4422}, {1009, 20470}, {1056, 48832}, {1086, 3923}, {1100, 38049}, {1155, 35263}, {1213, 41333}, {1215, 29672}, {1284, 5433}, {1329, 13741}, {1386, 3912}, {1479, 56780}, {1574, 71034}, {1738, 17356}, {1918, 28256}, {1962, 29684}, {2108, 25350}, {2345, 16020}, {2551, 37024}, {3008, 3696}, {3011, 30818}, {3057, 25904}, {3122, 28288}, {3210, 59477}, {3243, 47359}, {3246, 3844}, {3315, 33170}, {3416, 7290}, {3619, 8692}, {3624, 4657}, {3629, 16477}, {3646, 18598}, {3662, 4676}, {3683, 54311}, {3685, 16706}, {3698, 25967}, {3703, 7191}, {3704, 69267}, {3706, 26723}, {3712, 4850}, {3717, 49465}, {3752, 59692}, {3755, 4702}, {3763, 50295}, {3771, 37662}, {3773, 50023}, {3775, 17330}, {3782, 32930}, {3790, 17342}, {3821, 4432}, {3834, 50307}, {3836, 49482}, {3840, 6679}, {3891, 6057}, {3936, 70483}, {3943, 32921}, {3946, 49462}, {3977, 4003}, {3993, 17395}, {4000, 5695}, {4011, 4415}, {4023, 33175}, {4030, 29679}, {4085, 71414}, {4202, 6284}, {4217, 12943}, {4260, 57024}, {4293, 51673}, {4299, 56992}, {4307, 53665}, {4310, 54389}, {4357, 15254}, {4358, 17602}, {4364, 24339}, {4370, 50285}, {4383, 33171}, {4384, 4733}, {4387, 19785}, {4388, 72020}, {4389, 26150}, {4395, 49474}, {4398, 5550}, {4417, 70485}, {4418, 40688}, {4438, 29668}, {4439, 49464}, {4443, 27680}, {4472, 24357}, {4645, 17283}, {4655, 48632}, {4663, 4684}, {4672, 17365}, {4851, 16475}, {4854, 32774}, {4864, 49529}, {4884, 17598}, {4974, 17362}, {4991, 49767}, {5084, 34936}, {5220, 26685}, {5222, 49486}, {5223, 47358}, {5241, 17125}, {5248, 56734}, {5257, 38059}, {5259, 13728}, {5437, 25509}, {5542, 50115}, {5625, 61302}, {5718, 29632}, {5743, 17123}, {5749, 38053}, {5846, 29674}, {5847, 17231}, {5852, 17350}, {5880, 17282}, {5901, 31395}, {6327, 72018}, {6541, 49472}, {6666, 19868}, {6691, 25492}, {6703, 26102}, {6767, 48831}, {7069, 25916}, {7232, 24695}, {7288, 64827}, {7292, 32779}, {7354, 11319}, {7483, 19864}, {7515, 18589}, {7677, 28780}, {7819, 30110}, {8287, 72118}, {8616, 33174}, {9507, 24631}, {9708, 48803}, {9791, 17305}, {10022, 28297}, {11246, 69251}, {11375, 41003}, {13727, 42356}, {13740, 25466}, {13747, 19847}, {14019, 23305}, {15338, 56782}, {15481, 51003}, {15485, 32784}, {15569, 17023}, {15601, 17272}, {16469, 17296}, {16484, 29633}, {16580, 21616}, {16666, 49756}, {16669, 34379}, {16671, 64073}, {16823, 17289}, {16828, 17590}, {16830, 17263}, {16905, 26686}, {17024, 32862}, {17045, 29646}, {17056, 25496}, {17122, 72026}, {17124, 72027}, {17126, 71999}, {17127, 33172}, {17228, 70969}, {17233, 71320}, {17234, 70419}, {17245, 50302}, {17258, 72051}, {17267, 38315}, {17278, 50314}, {17280, 32922}, {17290, 24248}, {17291, 24723}, {17306, 66515}, {17311, 50284}, {17339, 49447}, {17351, 24231}, {17354, 24349}, {17367, 49470}, {17374, 51196}, {17384, 17764}, {17388, 49477}, {17392, 33682}, {17469, 29687}, {17552, 19866}, {17557, 63158}, {17591, 59583}, {17596, 59580}, {17597, 33163}, {17599, 17776}, {17606, 25982}, {17697, 57288}, {17717, 29858}, {17719, 29860}, {17720, 29855}, {17721, 29857}, {17722, 29862}, {17724, 29638}, {17726, 29643}, {17749, 70513}, {18134, 70481}, {18743, 29634}, {18904, 71836}, {19784, 56996}, {19846, 24390}, {19858, 50205}, {19861, 25963}, {19883, 28542}, {20108, 50620}, {20582, 50296}, {21870, 50744}, {24178, 50054}, {24217, 29856}, {24345, 44387}, {24384, 35025}, {24541, 25099}, {24703, 25527}, {25055, 41313}, {25382, 57037}, {25497, 69097}, {25504, 25524}, {25505, 56731}, {25512, 56985}, {25591, 36505}, {25681, 27384}, {25887, 45275}, {25957, 63979}, {26558, 33817}, {26561, 33816}, {26986, 27097}, {27064, 33124}, {27627, 40934}, {28606, 29666}, {28966, 60909}, {29573, 38023}, {29579, 51192}, {29629, 50289}, {29656, 59511}, {29663, 62849}, {29689, 31264}, {29818, 33162}, {29819, 69295}, {29820, 32780}, {29821, 33158}, {29836, 32927}, {29846, 37663}, {29850, 32943}, {29851, 32772}, {29852, 32915}, {29853, 32771}, {29869, 33105}, {29871, 33133}, {30942, 35466}, {30957, 37634}, {31134, 72038}, {31151, 72036}, {31237, 71988}, {31252, 71991}, {32782, 41002}, {32847, 51147}, {32857, 48631}, {32911, 33173}, {33086, 70834}, {33114, 51463}, {33148, 41242}, {33166, 62814}, {36682, 43161}, {37298, 52086}, {37326, 51687}, {37703, 46897}, {37819, 71609}, {42871, 59406}, {43997, 49738}, {48350, 62323}, {48635, 50308}, {49467, 49772}, {49478, 49768}, {49488, 69557}, {49489, 49764}, {49769, 50288}, {50092, 51090}, {50315, 71921}, {60883, 69051}, {62398, 64174}, {63051, 71934}, {67210, 69298}, {69135, 71969}

X(72219) = midpoint of X(i) and X(j) for these {i,j}: {1, 33165}, {3662, 4676}, {16468, 33087}
X(72219) = complement of X(4429)
X(72219) = crossdifference of every pair of points on line {665, 4057}
X(72219) = barycentric product X(190)*X(48102)
X(72219) = barycentric quotient X(48102)/X(514)
X(72219) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17279, 3932}, {1, 33159, 49524}, {2, 1001, 4026}, {2, 5263, 3826}, {2, 24552, 3925}, {2, 32942, 2886}, {2, 48810, 49725}, {2, 71864, 48821}, {2, 71978, 11}, {2, 71980, 3816}, {10, 31289, 17337}, {31, 29677, 69092}, {171, 72003, 72001}, {238, 29637, 141}, {614, 32777, 69091}, {748, 24943, 1211}, {984, 29660, 71322}, {1001, 4026, 49740}, {1125, 24295, 24325}, {1279, 17357, 10}, {2325, 4353, 49523}, {3246, 3844, 3883}, {3685, 16706, 66071}, {3771, 70942, 37662}, {3826, 5263, 49725}, {3826, 48810, 5263}, {3840, 6679, 37646}, {3883, 29596, 3844}, {4011, 26128, 4415}, {4358, 26230, 17602}, {4422, 71322, 984}, {4672, 49676, 17365}, {4974, 49560, 17362}, {5259, 19881, 13728}, {7191, 33157, 3703}, {7290, 17284, 3416}, {8616, 33174, 44419}, {16469, 17296, 67964}, {17123, 32783, 5743}, {17125, 72002, 5241}, {17283, 71873, 4645}, {17356, 49484, 1738}, {17598, 33164, 4884}, {19862, 50290, 17384}, {24295, 24325, 17369}, {24943, 72032, 748}, {25496, 29642, 17056}, {26094, 56778, 5433}, {26150, 71524, 4389}, {29632, 32944, 5718}, {29637, 72030, 238}, {29638, 32931, 17724}, {29677, 72028, 31}, {29679, 62806, 4030}, {29850, 32943, 71938}, {32911, 33173, 71937}, {32930, 33123, 3782}, {33175, 37680, 4023}, {72002, 72034, 17125}, {72003, 72025, 171}

X(72220) = X(1)X(44419)∩X(2)X(41002)

X(72220) lies on these lines: {1, 44419}, {2, 41002}, {8, 5221}, {11, 6327}, {31, 29677}, {43, 524}, {44, 62673}, {46, 3704}, {55, 4966}, {57, 3416}, {63, 3932}, {69, 1376}, {78, 1464}, {81, 33086}, {100, 32863}, {141, 171}, {165, 17296}, {210, 4001}, {238, 72001}, {306, 1155}, {312, 17768}, {320, 7081}, {321, 11246}, {333, 3826}, {354, 63134}, {394, 25882}, {518, 1401}, {519, 21342}, {527, 3967}, {528, 10453}, {553, 49483}, {594, 3980}, {748, 72011}, {750, 1211}, {752, 3840}, {846, 17243}, {896, 29687}, {940, 4026}, {982, 5846}, {1001, 18141}, {1054, 32861}, {1086, 4362}, {1150, 3925}, {1215, 17365}, {1329, 1330}, {1503, 20368}, {1698, 49716}, {1707, 17279}, {1961, 4364}, {1999, 33068}, {2550, 37655}, {2886, 4645}, {2887, 37646}, {2895, 4023}, {2999, 67964}, {3035, 4417}, {3058, 4450}, {3175, 49990}, {3210, 71320}, {3218, 3703}, {3306, 3966}, {3474, 5695}, {3550, 33087}, {3589, 33174}, {3630, 56009}, {3631, 33084}, {3662, 3769}, {3677, 49681}, {3695, 69227}, {3712, 32858}, {3714, 4292}, {3720, 49740}, {3740, 4416}, {3742, 3883}, {3745, 54311}, {3752, 5847}, {3757, 25557}, {3782, 17763}, {3791, 17366}, {3816, 4388}, {3836, 71489}, {3846, 50304}, {3873, 4030}, {3912, 4640}, {3917, 22275}, {3936, 5432}, {3943, 32934}, {3971, 17334}, {3974, 9965}, {4009, 17781}, {4028, 17374}, {4035, 10164}, {4085, 71922}, {4090, 17771}, {4104, 17344}, {4126, 60459}, {4135, 17767}, {4357, 4682}, {4387, 44447}, {4413, 5739}, {4415, 4655}, {4422, 7262}, {4429, 37683}, {4434, 33064}, {4447, 17137}, {4643, 5268}, {4650, 29674}, {4697, 17369}, {4706, 50306}, {4715, 59596}, {4734, 17377}, {4849, 34379}, {4851, 17594}, {4854, 32950}, {4884, 32847}, {4968, 52783}, {4970, 17388}, {4972, 37639}, {5014, 51463}, {5205, 33066}, {5241, 17124}, {5305, 70491}, {5348, 70669}, {5361, 72014}, {5372, 33108}, {5718, 32918}, {5741, 20290}, {5743, 17122}, {5852, 32937}, {5880, 11679}, {6057, 32933}, {6154, 71929}, {6690, 18134}, {6703, 32784}, {7232, 33144}, {7238, 33103}, {7354, 17751}, {9053, 62865}, {9342, 37656}, {9352, 33077}, {11113, 49999}, {13728, 37559}, {14552, 26040}, {15326, 49492}, {16466, 25914}, {17056, 32916}, {17126, 33172}, {17127, 71999}, {17135, 34612}, {17184, 17602}, {17227, 29634}, {17231, 59692}, {17234, 71476}, {17288, 33126}, {17297, 29839}, {17330, 71977}, {17346, 26038}, {17347, 27538}, {17360, 70973}, {17378, 59297}, {17390, 17592}, {17391, 66530}, {17392, 43223}, {17595, 33088}, {17596, 32846}, {17598, 51147}, {17716, 71322}, {17724, 33069}, {17770, 59511}, {17784, 49460}, {18185, 30941}, {18201, 32866}, {19742, 24988}, {20056, 24841}, {20064, 71978}, {20101, 32942}, {21296, 25568}, {22034, 28526}, {22300, 50628}, {22325, 64006}, {23958, 33089}, {24593, 69134}, {24627, 33073}, {24692, 48643}, {24703, 30567}, {25440, 41014}, {25453, 61661}, {25502, 50296}, {25760, 37634}, {25938, 26005}, {25957, 35466}, {26037, 49724}, {26060, 64401}, {26073, 71931}, {26128, 48632}, {26840, 32926}, {27003, 33075}, {27528, 28754}, {29662, 31134}, {29663, 62846}, {29679, 62795}, {30818, 41011}, {30942, 63979}, {31151, 33138}, {31264, 64164}, {31303, 71932}, {31330, 49725}, {31774, 50037}, {32773, 37684}, {32777, 59574}, {32843, 37663}, {32862, 67335}, {32913, 33079}, {32914, 40688}, {32919, 32948}, {32946, 37662}, {33083, 37633}, {33091, 62235}, {33092, 59583}, {33095, 70219}, {33147, 48631}, {33158, 59580}, {33171, 37540}, {36974, 67980}, {37603, 65543}, {37653, 71981}, {37674, 50295}, {37715, 48835}, {38047, 62812}, {41801, 64083}, {42032, 44446}, {42054, 49994}, {42058, 72018}, {44417, 50307}, {48810, 72016}, {48821, 71913}, {49688, 62823}, {49742, 72054}, {50315, 71450}, {53663, 62240}, {56734, 62805}

X(72220) = crosspoint of X(4998) and X(8050)
X(72220) = crosssum of X(3271) and X(4057)
X(72220) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 72007, 69092}, {57, 3416, 69091}, {100, 32863, 71937}, {171, 33085, 141}, {238, 72009, 72001}, {750, 33080, 1211}, {940, 26034, 4026}, {1999, 33068, 66071}, {3218, 33078, 3703}, {3474, 34255, 5695}, {3662, 3769, 17061}, {3791, 24169, 17366}, {3936, 71479, 5432}, {4388, 71985, 3816}, {4450, 29824, 3058}, {4645, 14829, 2886}, {4650, 29674, 44416}, {4655, 29649, 4415}, {6327, 71984, 11}, {17122, 33082, 5743}, {17124, 72008, 5241}, {17763, 33067, 3782}, {18134, 71477, 6690}, {18141, 63140, 1001}, {32784, 37604, 6703}, {32913, 33079, 49524}, {32918, 32949, 5718}, {32919, 32948, 71938}, {33174, 62841, 3589}

X(72221) = X(1)X(5745)∩X(2)X(2308)

X(72221) lies on these lines: {1, 5745}, {2, 2308}, {10, 5429}, {11, 72040}, {31, 11680}, {43, 24597}, {58, 3822}, {63, 29658}, {81, 29640}, {171, 3925}, {238, 3816}, {333, 70972}, {387, 37574}, {750, 71996}, {896, 33099}, {902, 33142}, {1054, 26723}, {1150, 32783}, {1155, 33132}, {1707, 3944}, {1714, 37603}, {1743, 7735}, {1757, 21060}, {1782, 3336}, {1961, 54357}, {2886, 72036}, {2887, 41806}, {3011, 32913}, {3052, 33141}, {3218, 33147}, {3219, 29683}, {3550, 17784}, {3741, 72026}, {3769, 4438}, {3771, 37683}, {3772, 4650}, {3791, 32851}, {3840, 72030}, {4090, 37764}, {4362, 33167}, {4434, 33118}, {4640, 33135}, {4641, 17719}, {4649, 6690}, {4693, 59580}, {4921, 69300}, {5218, 42043}, {5247, 17757}, {5281, 50282}, {5292, 54354}, {5325, 51294}, {5361, 72002}, {5372, 24943}, {5737, 19856}, {5744, 17591}, {6679, 14829}, {6686, 63051}, {7262, 17720}, {8616, 11269}, {9332, 37631}, {9340, 20292}, {14996, 29661}, {16477, 37662}, {16704, 29846}, {16948, 21935}, {17123, 37634}, {17126, 24892}, {17127, 29662}, {17277, 58443}, {17596, 40940}, {17763, 33164}, {19540, 36635}, {20101, 21241}, {21242, 72016}, {21747, 33107}, {24627, 29654}, {25453, 71477}, {25957, 31229}, {26034, 29856}, {26102, 63078}, {26228, 62865}, {29632, 37639}, {29633, 32916}, {29635, 71476}, {29642, 37684}, {29645, 38000}, {29657, 55867}, {29665, 32912}, {29674, 56519}, {29675, 62819}, {29676, 62834}, {29678, 37685}, {29821, 59491}, {29830, 71919}, {29839, 71922}, {29845, 71478}, {29850, 71479}, {29859, 54311}, {29861, 63134}, {29863, 33083}, {29865, 32863}, {29867, 33086}, {30652, 33104}, {30653, 71988}, {30942, 72025}, {31187, 33111}, {31330, 72029}, {32865, 37540}, {32866, 33119}, {32924, 51583}, {32932, 50755}, {33108, 72039}, {33127, 62795}, {33143, 67335}, {33168, 50756}, {36634, 59572}, {37717, 64166}, {49452, 59536}, {59726, 60731}, {71984, 72003}

X(72221) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 71489, 33082}, {31, 11680, 72035}, {31, 33140, 33106}, {63, 29658, 33152}, {171, 33138, 71991}, {171, 35466, 33138}, {238, 37646, 71995}, {896, 33133, 33099}, {3769, 4438, 32847}, {3772, 4650, 32857}, {6679, 14829, 29637}, {6690, 61661, 4649}, {11680, 72035, 33106}, {17126, 24892, 33109}, {17127, 29662, 71990}, {17763, 56520, 33164}, {33140, 72035, 11680}, {55867, 62845, 29657}, {59491, 61647, 29821}

X(72222) = X(1)X(535)∩X(6)X(149)

X(72222) lies on these lines: {1, 535}, {2, 3052}, {4, 62804}, {6, 149}, {7, 3315}, {8, 41242}, {11, 17126}, {31, 11680}, {42, 34611}, {43, 49719}, {55, 33107}, {79, 30148}, {81, 497}, {100, 37651}, {145, 17537}, {171, 71988}, {190, 29832}, {226, 62806}, {229, 11365}, {238, 33104}, {312, 50000}, {390, 63008}, {516, 4850}, {527, 62868}, {528, 3240}, {595, 2476}, {614, 20292}, {748, 33109}, {750, 71990}, {752, 30942}, {896, 29676}, {902, 17717}, {908, 63969}, {946, 62802}, {976, 68847}, {995, 17579}, {999, 13744}, {1001, 33112}, {1008, 4388}, {1086, 65698}, {1191, 2475}, {1279, 31019}, {1386, 33134}, {1478, 62848}, {1479, 57280}, {1621, 26098}, {1699, 33133}, {1836, 7191}, {2308, 33141}, {2550, 37680}, {2886, 17127}, {3006, 4676}, {3011, 10129}, {3058, 17018}, {3218, 17721}, {3242, 17484}, {3434, 32911}, {3583, 62828}, {3616, 37038}, {3622, 49745}, {3683, 29664}, {3685, 33070}, {3744, 31053}, {3758, 29835}, {3782, 17024}, {3838, 29681}, {3873, 41011}, {3890, 67969}, {3920, 24703}, {3923, 32844}, {3938, 33096}, {3944, 17469}, {3996, 63010}, {4003, 28534}, {4011, 33072}, {4193, 5264}, {4255, 20066}, {4307, 37633}, {4358, 50289}, {4383, 33110}, {4387, 33093}, {4389, 29823}, {4392, 17768}, {4398, 44006}, {4414, 17722}, {4415, 29815}, {4429, 21282}, {4432, 29643}, {4511, 66639}, {4514, 26223}, {4519, 28538}, {4640, 29680}, {4645, 71978}, {4660, 32944}, {4671, 5846}, {4672, 33120}, {4679, 5297}, {4683, 29652}, {4857, 62805}, {4865, 32862}, {4892, 29638}, {4956, 47356}, {4972, 70481}, {5014, 27064}, {5046, 5710}, {5091, 31512}, {5178, 54386}, {5231, 36277}, {5255, 11681}, {5256, 9580}, {5262, 12699}, {5263, 72000}, {5274, 63078}, {5695, 32842}, {5698, 62796}, {5718, 61155}, {5880, 7292}, {5905, 62814}, {6327, 32942}, {6840, 64449}, {7262, 29690}, {7290, 33129}, {7812, 69498}, {8616, 33105}, {9614, 62809}, {9812, 19785}, {10527, 16948}, {10707, 11269}, {10883, 64013}, {10896, 54355}, {11235, 33142}, {12701, 17016}, {14829, 20064}, {15171, 19767}, {15484, 26074}, {16466, 52367}, {16468, 33136}, {16477, 71942}, {17017, 33095}, {17025, 66071}, {17122, 71992}, {17123, 71989}, {17124, 72039}, {17125, 71991}, {17354, 31079}, {17483, 17597}, {17598, 33098}, {17599, 33100}, {17605, 29665}, {17716, 69173}, {17747, 63004}, {17766, 32931}, {17778, 71928}, {17784, 63090}, {18393, 49480}, {20020, 56084}, {20060, 37542}, {20075, 63089}, {20101, 71984}, {21283, 71934}, {24210, 62807}, {24695, 62235}, {25385, 49705}, {25496, 32947}, {25760, 49482}, {26015, 62795}, {26227, 49709}, {28566, 30818}, {29631, 50300}, {29637, 31134}, {29639, 62838}, {29657, 70520}, {29668, 33067}, {29814, 49736}, {29818, 33103}, {29819, 33154}, {29821, 33094}, {29822, 49746}, {29830, 71864}, {29839, 71909}, {29840, 32933}, {29844, 32940}, {30116, 66099}, {30652, 37646}, {30653, 35466}, {30950, 50301}, {30970, 50296}, {31018, 68589}, {31034, 68969}, {31091, 54389}, {31140, 33139}, {31151, 72005}, {31237, 72025}, {31252, 72034}, {31266, 62875}, {31300, 58371}, {32843, 32941}, {32929, 33071}, {32943, 32946}, {32948, 70942}, {33065, 49473}, {33077, 49484}, {33101, 67210}, {33148, 61716}, {33155, 38315}, {33175, 48805}, {38530, 66862}, {49490, 61707}, {50190, 63366}, {50288, 64178}, {50307, 64149}, {50604, 65134}, {51415, 61156}, {54291, 69017}, {62695, 66676}, {62866, 64162}, {62998, 71929}, {63002, 71927}, {63074, 71938}, {70689, 71850}, {72041, 72044}

X(72222) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 5057, 33151}, {31, 33106, 11680}, {171, 71988, 72013}, {238, 33104, 33108}, {748, 33109, 72014}, {1699, 62834, 33133}, {1836, 7191, 33146}, {3923, 32844, 33089}, {4388, 24552, 32782}, {4645, 71978, 71999}, {4865, 32930, 32862}, {6327, 32942, 33172}, {17721, 64016, 3218}, {21282, 70483, 4429}, {33104, 72038, 238}, {33106, 72035, 31}, {33109, 72040, 748}, {71989, 72042, 17123}, {71990, 72036, 750}, {71992, 72037, 17122}

X(72223) = X(1)X(54288)∩X(2)X(6)

X(72223) lies on these lines: {1, 54288}, {2, 6}, {3, 24883}, {4, 16948}, {11, 17127}, {21, 5292}, {31, 11680}, {38, 29658}, {44, 27131}, {55, 33142}, {57, 21367}, {58, 2476}, {63, 33133}, {88, 278}, {100, 33137}, {149, 3052}, {162, 37372}, {171, 24892}, {222, 37797}, {226, 60247}, {238, 29662}, {239, 53165}, {312, 56520}, {354, 29681}, {387, 6910}, {404, 1714}, {497, 70834}, {518, 29665}, {580, 6943}, {748, 71995}, {750, 33138}, {896, 3944}, {902, 33141}, {958, 54355}, {984, 29683}, {1043, 56781}, {1086, 23958}, {1155, 33131}, {1376, 33139}, {1386, 29680}, {1621, 11269}, {1699, 36277}, {1707, 5057}, {1724, 4193}, {1738, 9352}, {1743, 30852}, {1751, 60615}, {1834, 4189}, {1999, 33113}, {2308, 17717}, {2475, 4252}, {2886, 17126}, {2975, 5230}, {3006, 3769}, {3011, 3873}, {3060, 18191}, {3120, 4650}, {3175, 59769}, {3187, 32851}, {3210, 51583}, {3216, 17566}, {3218, 3772}, {3219, 17720}, {3240, 5432}, {3306, 26724}, {3416, 29872}, {3550, 33136}, {3681, 66632}, {3745, 29664}, {3752, 56531}, {3771, 32919}, {3782, 67335}, {3791, 29849}, {3911, 17080}, {3977, 42044}, {4026, 29864}, {4038, 29661}, {4197, 24880}, {4201, 25459}, {4255, 37291}, {4257, 17579}, {4291, 69887}, {4362, 33089}, {4392, 17061}, {4414, 33135}, {4422, 46938}, {4429, 71479}, {4430, 17724}, {4434, 33117}, {4438, 17763}, {4640, 33134}, {4641, 31053}, {4649, 29678}, {4663, 61648}, {4671, 44416}, {4850, 40940}, {4966, 29866}, {4972, 71477}, {5178, 37552}, {5222, 24583}, {5231, 62834}, {5247, 11681}, {5265, 56821}, {5273, 33761}, {5312, 58404}, {5324, 35996}, {5337, 24899}, {5398, 6830}, {5704, 34231}, {5705, 62809}, {5706, 6888}, {5707, 6852}, {5744, 19785}, {5745, 28606}, {5902, 50757}, {6679, 30942}, {6682, 29636}, {6690, 17018}, {6691, 27625}, {6693, 10479}, {6734, 62802}, {6828, 37530}, {6853, 36742}, {6857, 64415}, {6873, 13408}, {6876, 63318}, {6952, 36754}, {6972, 36745}, {7081, 33114}, {7226, 17602}, {7262, 69173}, {7277, 17775}, {7292, 17728}, {7365, 15474}, {7483, 19767}, {10129, 41011}, {10197, 16474}, {10449, 56778}, {10527, 62804}, {11114, 52680}, {11246, 17070}, {11679, 32779}, {13161, 62827}, {13478, 24624}, {14009, 39673}, {15680, 66104}, {16454, 25446}, {17016, 26066}, {17064, 20292}, {17122, 71994}, {17123, 71997}, {17124, 71996}, {17167, 60071}, {17284, 56521}, {17469, 29676}, {17540, 29560}, {17549, 48837}, {17595, 33150}, {17596, 33128}, {17716, 29690}, {17719, 32912}, {17783, 64070}, {21283, 71910}, {23511, 31224}, {24210, 62838}, {24239, 61647}, {24477, 26228}, {24627, 32774}, {24789, 27003}, {24914, 54292}, {25453, 32918}, {25760, 71489}, {26015, 62806}, {26037, 58443}, {26065, 41242}, {26139, 72024}, {26227, 33121}, {26363, 57280}, {26688, 37758}, {26738, 58463}, {26910, 69713}, {27186, 37520}, {27785, 58449}, {28027, 62854}, {29607, 69003}, {29631, 32916}, {29634, 46909}, {29635, 32917}, {29639, 62807}, {29640, 62821}, {29649, 33115}, {29675, 62867}, {29830, 71930}, {29833, 30608}, {29839, 71933}, {29846, 32853}, {29856, 32781}, {29857, 33078}, {29861, 33074}, {29863, 32784}, {29865, 33087}, {29867, 33174}, {30566, 70742}, {30652, 63979}, {31164, 62820}, {31231, 45126}, {31237, 33085}, {31245, 33112}, {31266, 62812}, {32855, 50756}, {32860, 50755}, {32913, 33127}, {32933, 37759}, {33105, 62841}, {33110, 37540}, {33144, 62235}, {33152, 36263}, {33157, 56519}, {35612, 61728}, {37298, 48847}, {39595, 54357}, {39962, 56050}, {45700, 62848}, {55868, 62796}, {55962, 60156}, {56082, 56523}, {57721, 60085}, {57722, 66634}, {60082, 62929}, {60714, 71942}

X(72223) = crosssum of X(6) and X(5036)
X(72223) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 69, 30831}, {2, 333, 72000}, {2, 1150, 32782}, {2, 5361, 1211}, {2, 5372, 141}, {2, 14829, 33172}, {2, 14996, 17056}, {2, 14997, 37663}, {2, 16704, 4417}, {2, 17778, 30834}, {2, 19742, 5233}, {2, 24597, 32911}, {2, 32863, 30811}, {2, 32911, 37651}, {2, 37639, 18134}, {2, 37642, 81}, {2, 37652, 5741}, {2, 37666, 63008}, {2, 37683, 3936}, {2, 37684, 18139}, {2, 37685, 5718}, {2, 63056, 41878}, {2, 63067, 63089}, {2, 63074, 37662}, {2, 63078, 37633}, {2, 63096, 51415}, {2, 71984, 71999}, {31, 33140, 11680}, {63, 33133, 33151}, {171, 24892, 33108}, {238, 29662, 72013}, {750, 33138, 72014}, {902, 33141, 34611}, {940, 31187, 2}, {1724, 45939, 4193}, {3218, 3772, 33146}, {3550, 33136, 49719}, {4257, 68946, 17579}, {4362, 33119, 33089}, {4438, 17763, 32862}, {5718, 61661, 37685}, {14829, 41806, 2}, {18141, 31232, 2}, {24477, 26228, 62814}, {24880, 37522, 4197}, {30834, 71914, 17778}, {31204, 37633, 2}, {31229, 71984, 2}, {35466, 37646, 2}, {40940, 59491, 4850}, {41878, 71913, 63056}

X(72224) = X(2)X(2308)∩X(11)X(238)

X(72224) lies on these lines: {1, 24597}, {2, 2308}, {6, 29640}, {9, 29658}, {10, 72029}, {11, 238}, {31, 33108}, {36, 27628}, {43, 5218}, {44, 17719}, {63, 33147}, {69, 29858}, {171, 3826}, {333, 3775}, {390, 8616}, {495, 5247}, {748, 71995}, {846, 40940}, {896, 32857}, {902, 20095}, {1046, 11551}, {1054, 3008}, {1150, 29637}, {1707, 4312}, {1714, 4302}, {1724, 7951}, {1731, 21381}, {1757, 3011}, {2886, 72035}, {2895, 29865}, {3052, 32865}, {3219, 33152}, {3618, 29825}, {3683, 33135}, {3685, 50755}, {3712, 4716}, {3741, 72025}, {3751, 29675}, {3771, 37652}, {3772, 7262}, {3790, 4362}, {3791, 33116}, {3792, 18191}, {3846, 41806}, {3883, 29861}, {3911, 5018}, {3925, 72039}, {3961, 24393}, {4038, 61661}, {4316, 52680}, {4357, 29859}, {4438, 32866}, {4640, 33132}, {4641, 33130}, {4650, 24789}, {4759, 17777}, {4921, 33081}, {4974, 32851}, {4989, 5745}, {5220, 17725}, {5235, 19856}, {5278, 72004}, {5361, 24943}, {5372, 29677}, {5542, 32913}, {5718, 16477}, {5791, 16478}, {5847, 29862}, {7290, 29676}, {8258, 16817}, {9332, 17392}, {11269, 15485}, {11533, 18249}, {11680, 72040}, {14829, 72003}, {16475, 29657}, {16570, 23681}, {16704, 29632}, {17123, 37646}, {17126, 71991}, {17127, 24892}, {17366, 17593}, {17591, 55868}, {17596, 26723}, {17717, 31187}, {17724, 49712}, {19742, 29846}, {19786, 59624}, {21242, 71873}, {21747, 33112}, {24542, 32919}, {25453, 71476}, {25502, 63078}, {25760, 31229}, {26102, 37642}, {26228, 49448}, {27065, 29683}, {29631, 71478}, {29633, 32917}, {29642, 37683}, {29654, 38000}, {29661, 37685}, {29678, 63074}, {29681, 32912}, {29830, 71924}, {29839, 71925}, {29851, 37639}, {29856, 50295}, {29860, 49511}, {29866, 71941}, {29867, 33083}, {29869, 32863}, {30652, 71989}, {30653, 33104}, {30942, 72030}, {31204, 33105}, {31289, 71985}, {31330, 72026}, {32778, 56519}, {32847, 33115}, {32849, 50756}, {32914, 33167}, {33128, 62838}, {33136, 70834}, {34977, 56531}, {35023, 56009}, {36635, 47522}, {37650, 62711}, {50757, 71541}, {53393, 69700}, {61155, 71942}

X(72224) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 71489, 33085}, {31, 33108, 72036}, {31, 33138, 33109}, {238, 33140, 71990}, {238, 35466, 33140}, {333, 6679, 32783}, {896, 33129, 32857}, {3772, 7262, 33099}, {17126, 71994, 71991}, {17127, 24892, 33106}, {32914, 56520, 33167}, {33108, 72036, 33109}, {33138, 72036, 33108}, {54357, 61647, 1}

X(72225) = X(1)X(11015)∩X(2)X(3052)

X(72225) lies on these lines: {1, 11015}, {2, 3052}, {6, 33110}, {7, 62814}, {31, 33108}, {42, 49719}, {55, 33112}, {79, 30145}, {81, 3434}, {100, 26098}, {145, 42045}, {149, 940}, {171, 11680}, {238, 71989}, {321, 50289}, {333, 20064}, {377, 62804}, {497, 37633}, {516, 28606}, {528, 17018}, {595, 4197}, {612, 5057}, {748, 71991}, {750, 33106}, {752, 31330}, {894, 5014}, {902, 33111}, {1086, 17024}, {1150, 20101}, {1155, 29680}, {1279, 27186}, {1376, 33107}, {1386, 33131}, {1621, 37467}, {1836, 3920}, {2308, 32865}, {2475, 5710}, {2476, 5264}, {2550, 32911}, {2886, 17126}, {3058, 29814}, {3120, 17716}, {3219, 64016}, {3240, 34612}, {3242, 17483}, {3295, 26131}, {3550, 33105}, {3616, 66680}, {3649, 36565}, {3664, 62866}, {3681, 41011}, {3720, 50301}, {3744, 31019}, {3745, 33134}, {3782, 29815}, {3838, 29665}, {3873, 50307}, {3914, 62807}, {3923, 32862}, {3925, 17127}, {3938, 33097}, {3961, 24725}, {3980, 32844}, {3996, 31034}, {4294, 64415}, {4312, 62833}, {4344, 19785}, {4349, 62801}, {4363, 33090}, {4388, 71979}, {4392, 11246}, {4415, 65698}, {4418, 4865}, {4419, 50261}, {4430, 17365}, {4432, 29854}, {4640, 29664}, {4645, 24552}, {4649, 71940}, {4650, 29690}, {4651, 49720}, {4660, 32772}, {4672, 33117}, {4675, 29817}, {4676, 69250}, {4683, 36480}, {4697, 33120}, {4847, 62795}, {4888, 62815}, {4892, 29848}, {4972, 70419}, {5178, 54421}, {5249, 62806}, {5263, 6327}, {5269, 33133}, {5287, 9580}, {5297, 24703}, {5311, 33095}, {5695, 33093}, {5698, 33761}, {5711, 52367}, {5712, 20075}, {5725, 63136}, {5846, 28605}, {5880, 7191}, {5905, 68589}, {6839, 64449}, {7226, 17768}, {7290, 26724}, {9347, 24210}, {9352, 24239}, {10129, 66632}, {10327, 41242}, {10385, 63343}, {11114, 30116}, {11330, 19731}, {13405, 26738}, {14923, 67969}, {16948, 19843}, {17017, 24715}, {17056, 61155}, {17122, 71988}, {17123, 71993}, {17124, 71990}, {17125, 72040}, {17300, 71928}, {17469, 17889}, {17597, 26842}, {17599, 33102}, {17601, 29688}, {17721, 27003}, {17766, 32771}, {17778, 71929}, {17784, 63008}, {19765, 20066}, {19993, 42697}, {21282, 32773}, {21283, 71935}, {23155, 49537}, {24988, 70485}, {25496, 32948}, {25957, 49482}, {26040, 37687}, {26223, 32850}, {28082, 68847}, {28512, 62226}, {28562, 43223}, {28566, 31993}, {29634, 48646}, {29652, 33067}, {29677, 31151}, {29816, 33154}, {29819, 33149}, {29830, 71911}, {29832, 32939}, {29839, 71912}, {29850, 50300}, {30652, 35466}, {31134, 32783}, {31140, 33142}, {31237, 72026}, {31252, 72032}, {32858, 49484}, {32925, 50288}, {32929, 33073}, {32932, 33070}, {32941, 32949}, {32942, 71999}, {32945, 32946}, {32947, 50302}, {33069, 49473}, {33075, 50314}, {33088, 64010}, {33103, 67210}, {33129, 62834}, {33136, 62841}, {33150, 38315}, {33153, 61716}, {33173, 48805}, {37663, 61156}, {37685, 71938}, {41002, 49725}, {42034, 50000}, {42044, 49476}, {44006, 62229}, {44447, 62796}, {46897, 63139}, {49490, 64164}, {50296, 59306}, {56191, 66099}, {62803, 66671}, {62816, 66673}, {62818, 66676}, {62851, 64168}, {62998, 71927}, {63010, 71926}, {63056, 68969}, {72042, 72043}

X(72225) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 20292, 33146}, {31, 33109, 33108}, {171, 33104, 11680}, {238, 71989, 72014}, {750, 33106, 72013}, {1376, 33107, 37651}, {1836, 3920, 33151}, {3434, 4307, 81}, {3923, 33072, 32862}, {4344, 19785, 62855}, {4388, 71979, 72000}, {4418, 4865, 33089}, {4645, 24552, 33172}, {5249, 63969, 62806}, {5263, 6327, 32782}, {21282, 70482, 32773}, {33104, 72037, 171}, {33106, 72039, 750}, {33109, 72036, 31}, {71988, 72041, 17122}, {71991, 72035, 748}, {71993, 72038, 17123}

X(72226) = X(2)X(6)∩X(9)X(33133)

X(72226) lies on these lines: {2, 6}, {9, 33133}, {10, 62802}, {21, 1714}, {31, 33108}, {44, 31053}, {55, 33139}, {57, 26724}, {58, 4197}, {63, 4862}, {75, 56520}, {77, 31231}, {88, 15474}, {171, 71993}, {210, 29665}, {229, 7535}, {238, 11680}, {239, 33113}, {270, 5142}, {279, 39962}, {283, 4193}, {377, 16948}, {379, 1931}, {387, 64415}, {405, 24883}, {499, 3562}, {518, 29681}, {580, 6828}, {582, 6845}, {748, 33140}, {750, 71996}, {756, 29658}, {846, 33128}, {896, 17889}, {902, 32865}, {964, 25446}, {1001, 33142}, {1086, 67335}, {1386, 29664}, {1621, 33137}, {1698, 62809}, {1707, 20292}, {1724, 2476}, {1743, 31266}, {1751, 24624}, {1754, 10883}, {1757, 33127}, {1834, 16865}, {2051, 60247}, {2308, 33111}, {2886, 17127}, {2979, 18191}, {2999, 55867}, {3008, 24598}, {3011, 3681}, {3052, 33110}, {3120, 7262}, {3187, 33116}, {3216, 54356}, {3218, 24789}, {3219, 3772}, {3240, 6690}, {3315, 24477}, {3416, 29873}, {3434, 70834}, {3683, 33134}, {3750, 71942}, {3757, 33114}, {3769, 69250}, {3771, 32864}, {3791, 29643}, {3842, 29847}, {3868, 26728}, {3877, 50759}, {3914, 62838}, {3925, 17126}, {3966, 29872}, {3977, 50106}, {4000, 55868}, {4021, 28606}, {4026, 29868}, {4042, 33175}, {4260, 61643}, {4296, 24914}, {4361, 33168}, {4362, 32862}, {4414, 33132}, {4438, 32914}, {4640, 33131}, {4641, 31019}, {4649, 29661}, {4650, 69253}, {4661, 17724}, {4847, 62806}, {4850, 5745}, {4896, 5249}, {4966, 29870}, {4972, 71476}, {4974, 29849}, {4981, 29634}, {5046, 24898}, {5047, 5292}, {5057, 17064}, {5220, 33153}, {5230, 5260}, {5262, 5791}, {5271, 32779}, {5273, 19785}, {5284, 11269}, {5324, 7465}, {5358, 59354}, {5398, 6829}, {5433, 27625}, {5692, 50757}, {5706, 6884}, {5721, 37106}, {6557, 31171}, {6675, 19767}, {6679, 31330}, {6682, 29852}, {6852, 36754}, {6888, 36745}, {6991, 37530}, {7226, 17061}, {8616, 33136}, {8692, 11238}, {9534, 56778}, {10453, 24542}, {11114, 68946}, {11679, 33157}, {13478, 57721}, {14212, 17885}, {15670, 48847}, {15671, 48857}, {15672, 48842}, {15674, 19765}, {16342, 69541}, {16468, 33105}, {16610, 18607}, {16825, 33119}, {16885, 26792}, {17122, 71998}, {17123, 29662}, {17125, 71995}, {17272, 56522}, {17278, 27003}, {17490, 51583}, {17566, 17749}, {17579, 52680}, {17720, 27065}, {18623, 43043}, {19843, 62804}, {19854, 57280}, {20095, 21000}, {21283, 71911}, {23536, 62827}, {23958, 40688}, {24223, 51113}, {24587, 33840}, {24899, 69212}, {25453, 32917}, {25957, 71489}, {26227, 33118}, {26729, 54422}, {27002, 29607}, {27793, 34283}, {28605, 44416}, {29628, 33934}, {29632, 32853}, {29640, 61358}, {29642, 32919}, {29657, 71184}, {29689, 49490}, {29830, 71935}, {29839, 71936}, {29848, 49457}, {29850, 32916}, {29856, 69294}, {29857, 33075}, {29858, 33081}, {29862, 32852}, {29865, 33084}, {29866, 71937}, {29867, 32784}, {29869, 33087}, {30653, 63979}, {30904, 49758}, {30957, 31289}, {31224, 54390}, {31237, 33082}, {31245, 33107}, {31252, 72011}, {32773, 71478}, {32774, 38000}, {32776, 59624}, {32912, 33130}, {32915, 50755}, {33092, 50756}, {33147, 36263}, {34028, 61019}, {34048, 37797}, {37695, 67120}, {42044, 56078}, {42051, 59769}, {48641, 59664}, {55962, 60155}, {60071, 66634}, {60075, 60615}, {60082, 60235}, {61155, 71938}, {61647, 62807}, {62814, 64153}, {62923, 62929}, {63584, 67334}, {63961, 66632}, {68696, 70619}

X(72226) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 333, 32782}, {2, 966, 31247}, {2, 1150, 33172}, {2, 2895, 30811}, {2, 4383, 37651}, {2, 5278, 72000}, {2, 5361, 141}, {2, 5372, 69092}, {2, 5712, 63344}, {2, 5739, 30831}, {2, 14829, 71999}, {2, 14997, 37662}, {2, 16704, 18134}, {2, 17349, 5741}, {2, 19742, 4417}, {2, 24597, 81}, {2, 31034, 41878}, {2, 37639, 17234}, {2, 37642, 37633}, {2, 37650, 37687}, {2, 37652, 3936}, {2, 37681, 63090}, {2, 37683, 18139}, {2, 37685, 17056}, {2, 62998, 30834}, {2, 63009, 30828}, {2, 63013, 5333}, {2, 63067, 5712}, {2, 63074, 5718}, {2, 63096, 37663}, {2, 63100, 30832}, {31, 33138, 33108}, {63, 33129, 33146}, {171, 71994, 72014}, {238, 24892, 11680}, {748, 33140, 72013}, {902, 32865, 49719}, {1724, 24880, 2476}, {3219, 3772, 33151}, {4362, 33115, 32862}, {4383, 5422, 32911}, {4383, 31187, 2}, {4438, 32914, 33089}, {5271, 56519, 32779}, {5273, 19785, 62796}, {5278, 31229, 2}, {5745, 26723, 4850}, {8616, 33136, 34611}, {14555, 31232, 2}, {17277, 41806, 2}, {17337, 37634, 2}, {30834, 63060, 62998}, {31204, 32911, 2}, {40940, 54357, 28606}, {41878, 71915, 31034}

X(72227) = X(2)X(2308)∩X(6)X(29661)

X(72227) lies on these lines: {2, 2308}, {6, 29661}, {10, 72027}, {31, 3925}, {44, 33127}, {69, 29869}, {171, 71998}, {238, 11680}, {333, 24943}, {748, 3816}, {750, 72045}, {896, 24789}, {902, 17784}, {1150, 29677}, {1453, 21674}, {1621, 71942}, {1707, 69253}, {1724, 3822}, {1757, 29681}, {2886, 72038}, {2895, 29858}, {3011, 21060}, {3219, 33143}, {3305, 29683}, {3683, 33128}, {3720, 24597}, {3741, 72028}, {3751, 29689}, {3771, 19742}, {3840, 72034}, {3846, 31229}, {4362, 69301}, {4383, 61356}, {4414, 26723}, {4650, 26724}, {4921, 33087}, {4974, 33113}, {5137, 61367}, {5273, 46901}, {5278, 6679}, {5311, 61647}, {5361, 29637}, {5372, 72003}, {5739, 29865}, {7262, 33098}, {7290, 29690}, {8616, 33139}, {9345, 61661}, {14829, 72005}, {15485, 33142}, {16475, 29682}, {16704, 29642}, {16825, 56520}, {17017, 54357}, {17123, 71997}, {17124, 17337}, {17125, 37646}, {17126, 71993}, {17127, 33104}, {17260, 29847}, {17277, 72006}, {17349, 29846}, {17352, 32918}, {17526, 59307}, {17717, 31204}, {17776, 50756}, {19723, 69300}, {19762, 28267}, {20978, 25631}, {21242, 72018}, {24542, 32853}, {25453, 71478}, {25525, 61707}, {25960, 41806}, {26037, 72031}, {27065, 29658}, {29632, 37652}, {29640, 63074}, {29663, 32917}, {29678, 32911}, {29818, 64153}, {29830, 71925}, {29839, 71923}, {29848, 60731}, {29850, 71476}, {29851, 37683}, {29852, 38000}, {29867, 50295}, {30652, 71991}, {30653, 33109}, {30942, 72032}, {30950, 37642}, {31289, 71984}, {32774, 59624}, {32854, 33115}, {32864, 71939}, {32865, 70834}, {32914, 33161}, {33132, 62838}, {33140, 71992}, {56519, 69252}, {71977, 72033}, {72014, 72041}

X(72227) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 71489, 72007}, {31, 3925, 72037}, {31, 71994, 71989}, {171, 71998, 72043}, {238, 11680, 72042}, {238, 24892, 71988}, {748, 29662, 72044}, {748, 35466, 29662}, {3925, 72037, 71989}, {5278, 6679, 72002}, {7262, 33129, 33098}, {8616, 33139, 71940}, {11680, 72042, 71988}, {17125, 37646, 72046}, {17126, 71996, 71993}, {17127, 33138, 33104}, {24892, 72042, 11680}, {29632, 37652, 71941}, {71994, 72037, 3925}

X(72228) = X(1)X(528)∩X(8)X(524)

X(72228) lies on these lines: {1, 528}, {2, 3052}, {5, 64013}, {6, 2550}, {7, 3242}, {8, 524}, {9, 64016}, {10, 44}, {11, 750}, {12, 53529}, {30, 30116}, {31, 3925}, {37, 516}, {38, 11246}, {42, 34612}, {43, 49732}, {45, 5698}, {55, 851}, {58, 31419}, {65, 674}, {75, 5846}, {81, 33110}, {100, 5718}, {109, 64737}, {141, 4645}, {142, 1279}, {145, 17160}, {149, 37633}, {171, 2886}, {175, 45476}, {176, 45477}, {192, 28530}, {210, 41011}, {238, 3826}, {239, 69755}, {321, 50000}, {333, 20101}, {354, 49989}, {377, 5710}, {388, 60689}, {390, 4648}, {442, 5264}, {443, 1191}, {481, 5604}, {482, 5605}, {497, 37674}, {517, 71713}, {518, 17365}, {519, 49468}, {527, 49515}, {536, 49476}, {545, 49447}, {553, 21342}, {594, 3416}, {595, 8728}, {612, 1836}, {726, 50288}, {740, 17388}, {748, 71993}, {894, 32850}, {940, 3434}, {942, 64526}, {958, 64159}, {975, 12699}, {976, 3649}, {984, 17334}, {1001, 17245}, {1054, 17722}, {1100, 3755}, {1107, 66671}, {1125, 15810}, {1155, 29639}, {1211, 6327}, {1213, 50295}, {1266, 49463}, {1278, 28472}, {1284, 20990}, {1376, 26098}, {1386, 1738}, {1418, 12573}, {1503, 15978}, {1621, 35984}, {1698, 15601}, {1743, 38200}, {1834, 5711}, {1892, 23050}, {1901, 50861}, {1918, 28375}, {1961, 33095}, {2177, 6154}, {2256, 3332}, {2263, 52023}, {2796, 49456}, {3000, 7354}, {3035, 17717}, {3058, 3720}, {3120, 17602}, {3243, 4888}, {3247, 66673}, {3306, 3756}, {3550, 6690}, {3589, 4429}, {3616, 17290}, {3617, 17346}, {3621, 50133}, {3629, 71934}, {3634, 50297}, {3662, 71322}, {3664, 5853}, {3685, 17243}, {3688, 20718}, {3696, 5847}, {3703, 4418}, {3712, 29643}, {3717, 17351}, {3722, 37703}, {3723, 4356}, {3731, 66676}, {3739, 3883}, {3744, 5249}, {3745, 3914}, {3751, 7277}, {3772, 5269}, {3775, 50304}, {3782, 3920}, {3813, 37607}, {3816, 17122}, {3823, 17353}, {3829, 71995}, {3836, 49482}, {3838, 66632}, {3842, 28494}, {3868, 9054}, {3871, 26131}, {3879, 28581}, {3886, 4851}, {3912, 49484}, {3923, 3932}, {3943, 5695}, {3961, 33097}, {3980, 4865}, {3993, 17764}, {3996, 17778}, {4000, 4344}, {4023, 32843}, {4026, 4660}, {4030, 32771}, {4046, 32852}, {4062, 70523}, {4085, 33682}, {4126, 32938}, {4223, 16686}, {4252, 19843}, {4300, 6253}, {4310, 67538}, {4312, 7174}, {4339, 28629}, {4340, 5082}, {4360, 62392}, {4361, 51192}, {4364, 16830}, {4386, 50441}, {4388, 5743}, {4413, 51415}, {4416, 28570}, {4419, 39587}, {4422, 4676}, {4434, 25385}, {4438, 59574}, {4459, 10950}, {4519, 49990}, {4641, 25006}, {4646, 5717}, {4655, 36480}, {4659, 17224}, {4663, 49772}, {4670, 62467}, {4678, 50074}, {4682, 24210}, {4684, 17376}, {4689, 63145}, {4691, 50309}, {4697, 29673}, {4709, 17772}, {4718, 28557}, {4732, 28498}, {4733, 50308}, {4779, 29621}, {4850, 17726}, {4854, 5311}, {4863, 62819}, {4864, 5542}, {4884, 32939}, {4966, 32941}, {4969, 67964}, {4972, 70482}, {4995, 29678}, {4999, 37603}, {5021, 31416}, {5022, 31405}, {5057, 5297}, {5078, 7465}, {5220, 24695}, {5228, 12595}, {5241, 71983}, {5247, 9710}, {5252, 5848}, {5255, 25466}, {5266, 12609}, {5268, 24703}, {5275, 17747}, {5276, 20344}, {5278, 20064}, {5308, 30332}, {5432, 33105}, {5712, 17784}, {5713, 10306}, {5724, 9024}, {5725, 54286}, {5737, 63140}, {5793, 50408}, {5805, 61086}, {5835, 7270}, {5836, 9025}, {5852, 49448}, {5902, 66027}, {5903, 63360}, {5949, 53424}, {6147, 69272}, {6180, 12594}, {6284, 59305}, {6354, 8270}, {6361, 67849}, {6653, 20132}, {6703, 32773}, {6826, 64449}, {7191, 40688}, {7222, 49690}, {7228, 9053}, {7238, 36534}, {7263, 32922}, {7290, 17278}, {8679, 49537}, {9041, 49499}, {9347, 33134}, {9352, 29680}, {9519, 71708}, {9580, 17022}, {9780, 49731}, {10106, 62789}, {10129, 37691}, {10448, 15338}, {10944, 42837}, {11010, 63319}, {11113, 56191}, {11269, 31140}, {11680, 37634}, {12436, 52541}, {12702, 13408}, {13576, 24512}, {14621, 26582}, {14828, 52164}, {16475, 69557}, {16669, 64017}, {16671, 38201}, {16777, 64168}, {16814, 51090}, {16823, 34824}, {16825, 24693}, {16885, 38057}, {17018, 37631}, {17061, 17716}, {17070, 29658}, {17123, 72035}, {17124, 71988}, {17125, 72038}, {17126, 33108}, {17127, 72014}, {17132, 49522}, {17164, 70820}, {17237, 19868}, {17246, 24248}, {17262, 24280}, {17300, 68969}, {17364, 49450}, {17390, 49470}, {17451, 71757}, {17461, 28212}, {17469, 69253}, {17601, 29657}, {17720, 62221}, {17724, 31019}, {17765, 49479}, {17766, 24325}, {17767, 49520}, {17769, 50117}, {17770, 49457}, {17771, 49510}, {19853, 49728}, {20011, 42045}, {20066, 64415}, {20095, 37635}, {20195, 60846}, {20359, 68674}, {20539, 40750}, {21283, 71933}, {21331, 28885}, {21805, 61707}, {21870, 61652}, {21949, 40940}, {21956, 63099}, {22278, 23638}, {24217, 66065}, {24231, 49465}, {24342, 33076}, {24390, 37522}, {24445, 37598}, {24552, 69092}, {24697, 36531}, {24708, 57288}, {24789, 62834}, {24988, 70483}, {25384, 70965}, {26015, 37520}, {26037, 41002}, {26040, 37679}, {26102, 49736}, {26105, 37682}, {26806, 49704}, {26842, 62814}, {27186, 62806}, {28333, 50075}, {28503, 49493}, {28526, 49523}, {28534, 49742}, {28538, 50098}, {28556, 49445}, {28580, 49462}, {28582, 49527}, {28628, 37552}, {28854, 52964}, {29633, 48821}, {29637, 31151}, {29641, 44416}, {29814, 34611}, {29815, 33146}, {29816, 33145}, {29830, 71912}, {29839, 71910}, {30115, 39542}, {30142, 63997}, {31034, 71927}, {31134, 72002}, {31161, 49996}, {31237, 72027}, {31252, 72030}, {31409, 68925}, {31993, 63134}, {31995, 49679}, {32772, 32948}, {32865, 62841}, {32932, 33073}, {32942, 72001}, {32945, 32949}, {33093, 64010}, {33107, 37663}, {33116, 59580}, {33131, 62807}, {33137, 61661}, {33141, 37604}, {33150, 62855}, {37650, 40333}, {37651, 61156}, {37661, 69230}, {38047, 69556}, {38121, 68539}, {38149, 68529}, {39570, 54389}, {39597, 50052}, {40724, 56896}, {41241, 71102}, {41242, 60459}, {41311, 49630}, {41312, 64299}, {41825, 64146}, {41867, 62875}, {43161, 50677}, {44661, 63398}, {44669, 66640}, {48856, 49747}, {49466, 50116}, {49473, 49676}, {49474, 71320}, {49486, 50284}, {49532, 49534}, {49536, 49694}, {49693, 71521}, {49733, 50310}, {50294, 51100}, {51421, 64086}, {54318, 66639}, {54405, 61087}, {59406, 71327}, {62689, 71476}, {62821, 71940}, {62846, 71942}, {62998, 71926}, {63056, 71929}, {63548, 66657}, {64683, 68847}, {64908, 71874}, {66651, 69245}

X(72228) = midpoint of X(i) and X(j) for these {i,j}: {75, 50289}, {17364, 49450}, {49532, 49534}
X(72228) = reflection of X(i) in X(j) for these {i,j}: {37, 64174}, {3883, 3739}, {17330, 49725}, {17334, 984}, {17362, 3696}, {17365, 50307}, {17392, 50301}, {24349, 7228}, {49470, 17390}, {49478, 3664}, {49740, 50299}, {49742, 50291}, {49746, 49738}, {50310, 49733}
X(72228) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 5880, 1086}, {1, 24715, 66071}, {1, 66071, 17395}, {7, 68589, 3242}, {8, 4644, 64070}, {8, 68999, 4665}, {31, 71989, 3925}, {81, 33110, 71938}, {100, 33112, 5718}, {142, 63969, 1279}, {171, 2886, 37646}, {171, 33109, 2886}, {238, 3826, 17337}, {238, 71991, 3826}, {612, 1836, 4415}, {750, 33104, 11}, {894, 32850, 49524}, {1376, 26098, 37662}, {1386, 1738, 17366}, {2550, 4307, 6}, {3306, 17721, 3756}, {3416, 50314, 594}, {3550, 33111, 6690}, {3755, 4349, 1100}, {3920, 20292, 3782}, {3923, 3932, 17340}, {3980, 4865, 69091}, {4000, 4344, 38315}, {4026, 50302, 17398}, {4312, 7174, 17276}, {4344, 59412, 4000}, {4388, 71981, 5743}, {4418, 33072, 3703}, {4429, 70419, 3589}, {4645, 5263, 141}, {4660, 50302, 4026}, {5311, 33094, 4854}, {6327, 71979, 1211}, {7263, 51147, 32922}, {7290, 38052, 17278}, {16830, 24723, 4364}, {17122, 33106, 3816}, {17126, 33108, 35466}, {17376, 49467, 4684}, {17716, 17889, 17061}, {17717, 56010, 3035}, {32773, 70484, 6703}, {32945, 32949, 71937}, {33104, 72041, 750}, {33109, 72039, 171}, {71989, 72037, 31}, {71991, 72036, 238}, {72038, 72043, 17125}

X(72229) = X(2)X(2308)∩X(11)X(31)

X(72229) lies on these lines: {2, 2308}, {10, 72033}, {11, 31}, {42, 5218}, {43, 64710}, {58, 7951}, {63, 29683}, {81, 29678}, {100, 71942}, {171, 24892}, {238, 71997}, {333, 72006}, {390, 902}, {495, 1468}, {614, 60354}, {748, 37634}, {750, 3826}, {896, 17720}, {899, 24597}, {940, 29661}, {1150, 3775}, {1155, 33128}, {1471, 43043}, {1647, 7290}, {1707, 69173}, {1836, 9340}, {2886, 72037}, {3011, 5542}, {3017, 5010}, {3120, 4312}, {3218, 29658}, {3550, 20095}, {3720, 63078}, {3741, 72027}, {3769, 32854}, {3771, 37639}, {3790, 17763}, {3836, 31229}, {3840, 72028}, {3911, 4989}, {3989, 55868}, {4252, 12943}, {4257, 4316}, {4293, 5230}, {4302, 5292}, {4434, 33114}, {4530, 69216}, {4650, 33098}, {4871, 72034}, {5219, 61707}, {5269, 29690}, {5278, 58443}, {5311, 5745}, {5361, 72004}, {5372, 32783}, {5429, 70776}, {5432, 61358}, {5718, 62846}, {5744, 46901}, {6679, 29677}, {6690, 62821}, {8557, 68914}, {9352, 33132}, {14829, 24943}, {14996, 29640}, {16477, 37651}, {17017, 59491}, {17122, 71998}, {17124, 72045}, {17126, 33104}, {17127, 71992}, {17449, 26228}, {17602, 36263}, {17719, 62795}, {17724, 54352}, {17725, 62235}, {17740, 50756}, {18141, 29869}, {21242, 72017}, {21674, 37554}, {23958, 33147}, {24217, 70834}, {24477, 67210}, {24624, 59243}, {24627, 29636}, {24883, 37603}, {25453, 71479}, {25957, 41806}, {26034, 29863}, {27742, 63054}, {29631, 71477}, {29632, 37684}, {29647, 32916}, {29649, 56520}, {29663, 32918}, {29665, 32913}, {29682, 55867}, {29687, 56519}, {29688, 62845}, {29839, 71919}, {29845, 71476}, {29846, 37683}, {29847, 38000}, {29856, 33086}, {30652, 33106}, {30653, 71990}, {30957, 72032}, {31266, 64164}, {31330, 72031}, {32912, 66632}, {32919, 71939}, {32921, 51583}, {33136, 37540}, {33138, 71993}, {33139, 56010}, {33152, 67335}, {36267, 66508}, {37507, 40109}, {50285, 63233}, {56781, 67976}, {71985, 72005}, {72013, 72042}

X(72229) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 71489, 72008}, {11, 31, 72038}, {11, 72038, 71988}, {31, 29662, 71988}, {31, 37646, 29662}, {171, 24892, 71989}, {171, 33108, 72041}, {238, 71997, 72044}, {748, 37634, 72046}, {750, 35466, 71994}, {750, 71994, 72043}, {3218, 29658, 33143}, {3550, 33142, 71940}, {3769, 33119, 32854}, {4650, 33133, 33098}, {5432, 61661, 61358}, {6679, 71984, 29677}, {17126, 33140, 33104}, {17127, 71995, 71992}, {24892, 72041, 33108}, {29662, 72038, 11}, {29846, 37683, 71941}, {33108, 72041, 71989}

X(72230) = X(1)X(529)∩X(11)X(31)

X(72230) lies on these lines: {1, 529}, {2, 3052}, {4, 1191}, {5, 595}, {6, 497}, {7, 68929}, {11, 31}, {12, 3915}, {30, 995}, {37, 40998}, {38, 17334}, {42, 3058}, {43, 528}, {44, 4847}, {55, 37662}, {56, 855}, {57, 3756}, {58, 496}, {63, 17721}, {100, 37663}, {101, 18907}, {141, 4388}, {145, 56084}, {149, 32911}, {171, 3816}, {190, 4884}, {193, 69866}, {220, 69208}, {226, 1279}, {230, 21793}, {238, 2886}, {244, 11246}, {312, 5846}, {329, 3242}, {354, 17365}, {386, 15171}, {388, 1616}, {390, 63089}, {427, 8750}, {495, 40091}, {513, 1401}, {516, 3752}, {519, 3967}, {524, 4713}, {527, 21342}, {553, 68922}, {594, 3966}, {602, 15908}, {612, 4679}, {614, 1086}, {748, 3925}, {750, 71992}, {752, 3840}, {846, 17722}, {899, 34612}, {902, 5432}, {908, 3744}, {946, 1104}, {968, 17723}, {982, 17768}, {997, 66639}, {1001, 4199}, {1056, 16486}, {1108, 40960}, {1146, 1572}, {1149, 5434}, {1193, 6284}, {1201, 7354}, {1203, 4857}, {1211, 24552}, {1329, 5255}, {1333, 17188}, {1376, 51415}, {1386, 24210}, {1407, 64747}, {1453, 9614}, {1468, 37722}, {1478, 16483}, {1479, 1834}, {1617, 34029}, {1621, 5718}, {1699, 3772}, {1724, 24390}, {1743, 24392}, {1877, 64106}, {1918, 44411}, {1936, 15845}, {2097, 71234}, {2176, 7745}, {2478, 5710}, {2548, 14974}, {2550, 37679}, {2999, 9580}, {3008, 21949}, {3011, 17605}, {3035, 3550}, {3072, 7681}, {3073, 63980}, {3086, 4252}, {3195, 11393}, {3210, 28530}, {3240, 34611}, {3246, 3838}, {3259, 67425}, {3315, 17483}, {3363, 37854}, {3434, 4383}, {3436, 37542}, {3445, 3600}, {3452, 63969}, {3474, 70256}, {3583, 5315}, {3589, 32773}, {3616, 49735}, {3629, 71935}, {3649, 28082}, {3677, 17276}, {3683, 29639}, {3685, 33071}, {3687, 49484}, {3699, 26791}, {3703, 17340}, {3705, 4676}, {3706, 17362}, {3712, 29849}, {3720, 17392}, {3742, 50307}, {3755, 51783}, {3758, 29843}, {3782, 5057}, {3813, 5247}, {3815, 17735}, {3826, 17123}, {3829, 33140}, {3846, 49482}, {3870, 53534}, {3877, 5724}, {3879, 4891}, {3883, 44417}, {3914, 17366}, {3923, 69091}, {3932, 4011}, {3943, 4387}, {3944, 17061}, {3996, 63002}, {4000, 9812}, {4023, 32945}, {4026, 25496}, {4028, 4702}, {4030, 32931}, {4090, 17765}, {4135, 17769}, {4156, 15523}, {4187, 5264}, {4224, 16686}, {4255, 4294}, {4257, 15325}, {4292, 52541}, {4295, 17054}, {4307, 26105}, {4312, 5573}, {4422, 29641}, {4423, 17245}, {4429, 70485}, {4432, 29671}, {4514, 27064}, {4640, 24239}, {4641, 26015}, {4644, 10580}, {4645, 71980}, {4646, 10624}, {4655, 29668}, {4660, 70942}, {4672, 29655}, {4675, 10582}, {4703, 29652}, {4849, 5853}, {4854, 17017}, {4892, 29672}, {4906, 24231}, {4957, 17871}, {4966, 32946}, {4969, 17156}, {4972, 70483}, {4999, 54354}, {5046, 62804}, {5078, 35996}, {5080, 62848}, {5087, 66632}, {5134, 15048}, {5180, 54315}, {5211, 32939}, {5218, 21000}, {5219, 62875}, {5221, 28074}, {5225, 66104}, {5230, 10896}, {5241, 71979}, {5263, 5743}, {5266, 21616}, {5272, 5880}, {5274, 37642}, {5284, 33112}, {5292, 9669}, {5293, 68847}, {5305, 24045}, {5706, 10531}, {5716, 68599}, {5717, 68615}, {5852, 62865}, {5886, 37817}, {5905, 17597}, {6057, 32854}, {6327, 69092}, {6354, 34036}, {6686, 28562}, {6690, 8616}, {6691, 37603}, {6703, 70419}, {6827, 64449}, {7081, 49709}, {7202, 21328}, {7262, 29676}, {7277, 62819}, {7292, 20292}, {7299, 10957}, {7736, 42316}, {7743, 64166}, {7753, 52963}, {7792, 41324}, {8053, 21321}, {8056, 66676}, {8370, 40859}, {8727, 64013}, {9053, 32937}, {9316, 53529}, {9352, 43055}, {9605, 17732}, {9668, 48837}, {10106, 45219}, {10129, 29681}, {10386, 33771}, {10404, 28011}, {10593, 45939}, {10707, 33142}, {10947, 61397}, {11112, 49997}, {11235, 33137}, {11238, 11269}, {11415, 37549}, {11680, 17127}, {11813, 49480}, {12607, 37588}, {12699, 69267}, {12701, 54418}, {13408, 18493}, {13425, 49329}, {13458, 49330}, {14956, 40153}, {15484, 56746}, {15485, 33111}, {16056, 54333}, {16468, 33141}, {16569, 49732}, {16980, 57666}, {17024, 33151}, {17122, 72036}, {17124, 72037}, {17125, 71989}, {17126, 37634}, {17243, 33073}, {17246, 17599}, {17330, 31330}, {17359, 39597}, {17388, 32915}, {17398, 32772}, {17450, 64164}, {17469, 17602}, {17484, 62814}, {17595, 44447}, {17598, 33099}, {17720, 62834}, {17724, 31053}, {17726, 28606}, {17757, 37610}, {17766, 59511}, {17777, 32926}, {17784, 63126}, {18228, 68589}, {18743, 50289}, {20064, 71984}, {20075, 63090}, {20101, 71985}, {20470, 28364}, {21049, 54382}, {21283, 71932}, {21965, 69233}, {22299, 50621}, {22793, 23537}, {24047, 31406}, {24217, 62841}, {25378, 29847}, {25502, 50301}, {25525, 60846}, {25557, 29820}, {25681, 37552}, {26038, 49720}, {27130, 66509}, {27184, 71322}, {28018, 32636}, {29349, 40649}, {29635, 50300}, {29665, 37691}, {29677, 31134}, {29680, 62838}, {29688, 70520}, {29814, 37631}, {29818, 32856}, {29821, 33095}, {29839, 71864}, {29844, 32935}, {30117, 39542}, {30818, 63134}, {31034, 71928}, {31142, 50130}, {31237, 72028}, {31460, 69229}, {32049, 66647}, {32783, 48810}, {32819, 34063}, {32843, 32943}, {32851, 59580}, {32912, 51463}, {32944, 32947}, {33090, 41242}, {33110, 37680}, {33149, 59477}, {34720, 49984}, {35645, 37516}, {35652, 49476}, {36845, 64070}, {37539, 41012}, {37665, 41325}, {37715, 62828}, {38930, 70550}, {39594, 67964}, {39793, 64524}, {40950, 68610}, {41346, 53279}, {42051, 49987}, {43223, 49740}, {48643, 50023}, {49473, 69299}, {49478, 64162}, {49554, 59544}, {49700, 71520}, {49725, 71977}, {49746, 59297}, {50288, 59517}, {54386, 68616}, {55086, 64127}, {58679, 67969}, {61707, 62867}, {62998, 68969}, {63010, 71929}, {66257, 66646}, {69259, 71204}

X(72230) = reflection of X(1401) in X(64548)
{X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 24703, 4415}, {11, 31, 37646}, {31, 71988, 11}, {149, 32911, 71938}, {171, 71990, 3816}, {190, 29840, 4884}, {238, 33106, 2886}, {354, 41011, 17365}, {614, 1836, 1086}, {748, 3925, 17337}, {748, 33104, 3925}, {1001, 26098, 17056}, {1479, 16466, 1834}, {1621, 33107, 5718}, {1699, 3772, 62221}, {1699, 7290, 3772}, {3583, 5315, 64172}, {3703, 32930, 17340}, {3705, 4676, 44416}, {4011, 4865, 3932}, {4307, 26105, 37674}, {4387, 33088, 3943}, {4388, 32942, 141}, {4514, 27064, 49524}, {4645, 71980, 72001}, {4854, 17017, 17395}, {5057, 7191, 3782}, {6327, 71978, 69092}, {7292, 20292, 40688}, {8616, 17717, 6690}, {11680, 17127, 35466}, {17123, 33109, 3826}, {17126, 72013, 37634}, {17469, 69173, 17602}, {29820, 33097, 25557}, {29821, 33095, 66071}, {31053, 62806, 17724}, {31330, 41002, 17330}, {32773, 70481, 3589}, {32843, 32943, 71937}, {32844, 32930, 3703}, {33104, 72042, 748}, {33106, 72040, 238}, {40688, 65698, 20292}, {41324, 70693, 7792}, {71988, 72038, 31}, {71990, 72035, 171}, {72037, 72044, 17124}

X(72231) = X(2)X(513)∩X(10)X(82)

X(72231) lies on these lines: {2, 513}, {6, 72015}, {10, 82}, {765, 32942}, {1463, 26126}, {1647, 32944}, {4422, 69897}, {5251, 37017}, {16706, 19945}, {17263, 71074}, {17264, 71138}, {17721, 33114}, {23823, 29483}, {27261, 70717}, {36267, 70942}

X(72231) = crossdifference of every pair of points on line {3230, 21123}

X(72232) = X(1)X(2)∩X(31)X(72073)

X(72232) lies on these lines: {1, 2}, {31, 72073}, {100, 42055}, {171, 72092}, {238, 72077}, {678, 32939}, {748, 72075}, {750, 72080}, {1621, 4096}, {3158, 17155}, {3175, 32927}, {3689, 32923}, {3722, 32930}, {3750, 72052}, {4418, 71908}, {4864, 71639}, {4921, 62236}, {4995, 9041}, {9457, 37525}, {10389, 64178}, {17122, 72078}, {17124, 72076}, {17125, 72058}, {17126, 72072}, {17127, 72089}, {17716, 19738}, {17782, 49447}, {30653, 72095}, {31161, 71910}, {32920, 50106}, {49457, 64424}, {71637, 71873}

X(72232) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 72068, 72061}, {31, 72079, 72091}, {31, 72091, 72097}, {171, 72092, 72094}, {238, 72077, 72087}, {750, 72080, 72088}, {3722, 71630, 71911}, {3935, 71520, 32914}, {10389, 67066, 64178}, {17127, 72089, 72093}, {71630, 71911, 32930}

X(72233) = X(1)X(2)∩X(31)X(72074)

X(72233) lies on these lines: {1, 2}, {31, 72074}, {100, 42053}, {171, 72078}, {238, 72091}, {748, 72079}, {750, 72076}, {1621, 42054}, {3722, 4418}, {3748, 32927}, {4434, 62863}, {4864, 32918}, {9053, 63287}, {10389, 32925}, {17123, 72077}, {17125, 72075}, {17126, 72090}, {17127, 72071}, {17715, 32930}, {30652, 72096}, {31161, 71911}, {31178, 71908}, {32920, 42044}, {32923, 42051}, {33072, 37703}, {33105, 49695}, {33107, 49696}, {38316, 67066}, {49490, 71914}, {62856, 64178}, {71630, 71864}, {71637, 72020}

X(72233) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 72069, 72067}, {31, 72080, 72092}, {31, 72092, 72098}, {171, 72078, 72088}, {238, 72091, 72093}, {748, 72079, 72087}, {3957, 71520, 17763}, {17126, 72090, 72094}

X(72234) = X(1)X(2)∩X(55)X(537)

X(72234) lies on these lines: {1, 2}, {55, 537}, {171, 51055}, {238, 72079}, {390, 21093}, {536, 24333}, {748, 72077}, {750, 72078}, {968, 50777}, {1001, 42056}, {1054, 71636}, {1215, 48805}, {2177, 49455}, {2320, 9457}, {3158, 24165}, {3722, 3923}, {3744, 50300}, {3749, 50127}, {3750, 4664}, {3829, 70764}, {3971, 10389}, {3980, 31178}, {3996, 50086}, {4011, 17715}, {4421, 42055}, {4428, 42054}, {4434, 42871}, {4954, 32860}, {7290, 71634}, {17122, 72076}, {17123, 72075}, {17126, 72070}, {17127, 72065}, {17601, 24841}, {17716, 46922}, {17717, 49695}, {17718, 17765}, {17721, 49691}, {26128, 48821}, {28562, 31164}, {30652, 72098}, {30653, 72097}, {36538, 41553}, {37080, 50078}, {37540, 49491}, {49490, 71913}, {50115, 69214}, {50126, 71918}, {51060, 71450}, {59517, 62856}, {59679, 62850}, {62875, 71515}, {71630, 71909}, {71637, 72018}

X(72234) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {171, 72080, 72090}, {238, 72079, 72089}, {3722, 31161, 71912}, {3870, 71520, 4362}, {3938, 29670, 29652}, {17126, 72092, 72096}, {17127, 72091, 72095}, {20045, 67207, 49488}, {31161, 71912, 3923}, {31178, 71907, 3980}, {62856, 67066, 59517}, {72061, 72067, 2}, {72068, 72069, 2}

X(72235) = X(8)X(4874)∩X(30)X(511)

X(72235) lies on these lines: {8, 4874}, {30, 511}, {145, 1491}, {3241, 45323}, {3244, 69348}, {3621, 47694}, {3632, 69363}, {4147, 45666}, {4162, 48401}, {4449, 36848}, {4763, 48330}, {4770, 48285}, {4776, 4879}, {4814, 4922}, {4825, 45671}, {4959, 48265}, {20049, 48157}, {20050, 48298}, {23057, 47822}, {25569, 48214}, {28603, 69342}, {31145, 48234}, {50767, 69334}

X(72236) = X(10)X(37)∩X(44)X(49491)

X(72236) lies on these lines: {10, 37}, {44, 49491}, {45, 16823}, {742, 17244}, {3636, 36409}, {3834, 49516}, {4370, 49483}, {4664, 16815}, {4687, 25503}, {4755, 29596}, {16826, 50779}, {17292, 51488}, {17330, 49466}, {18230, 49533}, {21332, 62401}, {29627, 51051}, {29822, 46907}, {49457, 49703}, {59207, 71790}

X(72237) = X(1)X(4760)∩X(32)X(72105)

X(72237) lies on these lines: {1, 4760}, {32, 72105}, {65, 68890}, {536, 31794}, {712, 942}, {2241, 72103}, {2242, 72106}, {3125, 17141}, {3721, 16818}, {3754, 9055}, {3874, 8682}, {3881, 35101}, {3954, 27026}, {5883, 71642}, {24254, 27248}, {29375, 71790}, {30139, 71510}, {42055, 69257}, {49528, 69249}, {58565, 59515}, {68897, 71500}, {69174, 72107}, {69247, 71436}, {69260, 72108}

X(72237) = midpoint of X(1) and X(72101)
X(72237) = reflection of X(59515) in X(58565)
X(72237) = {X(1),X(72100)}-harmonic conjugate of X(72101)

X(72238) = X(1)X(4760)∩X(8)X(4799)

X(72238) lies on these lines: {1, 4760}, {8, 4799}, {172, 72103}, {712, 5903}, {742, 64047}, {1914, 72102}, {3721, 24282}, {3735, 16818}, {3868, 35101}, {3901, 8682}, {4165, 70968}, {4950, 33867}, {9055, 14923}, {20271, 53332}, {27026, 69285}, {30136, 71513}, {30139, 71511}, {36647, 70993}, {69247, 71438}, {69249, 71437}

X(72238) = reflection of X(1) in X(72101)
X(72238) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 72101, 72100}, {72102, 72106, 1914}, {72103, 72104, 172}

X(72239) = X(1)X(2)∩X(32)X(1252)

X(72239) lies on these lines: {1, 2}, {32, 1252}, {100, 71788}, {192, 69715}, {902, 70725}, {1023, 4262}, {1083, 61155}, {2246, 4876}, {3208, 69717}, {3675, 4430}, {3681, 67428}, {4447, 62235}, {4473, 71868}, {4517, 62838}, {5220, 68735}, {6161, 69530}, {6767, 16446}, {17484, 67570}, {18755, 68812}, {20095, 67583}, {20331, 52127}, {25256, 25259}, {25716, 69659}, {33888, 42079}, {63074, 71819}, {67335, 67417}, {69529, 70417}

X(72239) = barycentric product X(i)*X(j) for these {i,j}: {1, 72110}, {100, 72109}
X(72239) = barycentric quotient X(i)/X(j) for these {i,j}: {72109, 693}, {72110, 75}

X(72240) = X(1)X(42056)∩X(10)X(12)

X(72240) lies on these lines: {1, 42056}, {2, 49491}, {10, 12}, {11, 49697}, {37, 71634}, {42, 4096}, {43, 42054}, {44, 70841}, {81, 72093}, {145, 27538}, {171, 72059}, {190, 5524}, {312, 3632}, {321, 4457}, {518, 4871}, {519, 4009}, {524, 49994}, {536, 49988}, {537, 899}, {726, 4706}, {740, 3952}, {752, 49991}, {756, 10180}, {765, 70222}, {896, 17780}, {908, 49693}, {940, 72095}, {1001, 72089}, {1621, 72087}, {1757, 3699}, {2238, 71790}, {3240, 49456}, {3550, 72058}, {3625, 4519}, {3635, 59517}, {3636, 44307}, {3681, 30942}, {3706, 4701}, {3711, 3923}, {3715, 29670}, {3741, 59596}, {3750, 72055}, {3842, 46897}, {3935, 4432}, {3938, 72022}, {3943, 3985}, {3961, 71873}, {3967, 4685}, {3971, 4849}, {3993, 21870}, {4003, 49508}, {4061, 48644}, {4062, 23936}, {4113, 4746}, {4126, 29671}, {4132, 4806}, {4152, 49710}, {4358, 50001}, {4362, 59597}, {4422, 50748}, {4518, 37764}, {4651, 71630}, {4672, 72017}, {4753, 4767}, {4831, 59724}, {4903, 20053}, {4937, 49983}, {4974, 32927}, {5143, 52923}, {5205, 49712}, {5284, 72091}, {5316, 49536}, {7262, 71529}, {8167, 72090}, {8616, 72075}, {9350, 71793}, {9458, 62235}, {11814, 51463}, {15485, 72079}, {16569, 42055}, {16594, 49713}, {17449, 58467}, {20048, 32915}, {20052, 70152}, {20072, 70090}, {20723, 68942}, {21242, 24393}, {21830, 21893}, {24325, 63961}, {25106, 64581}, {25124, 40607}, {25351, 32856}, {26015, 49701}, {27484, 30869}, {28554, 62296}, {29827, 50075}, {30818, 49510}, {30829, 49498}, {32845, 54309}, {32931, 49457}, {32935, 67097}, {32937, 49493}, {35633, 59582}, {37604, 72085}, {37633, 72097}, {39594, 59599}, {42057, 59506}, {44671, 52875}, {49471, 64178}, {49479, 61686}, {49499, 62711}, {49698, 71990}, {56009, 62222}, {56126, 69519}, {58629, 71977}, {59577, 67976}, {62841, 72081}, {70834, 72061}, {71117, 71631}

X(72240) = midpoint of X(i) and X(j) for these {i,j}: {3952, 21805}, {3994, 19998}
X(72240) = reflection of X(17449) in X(58467)
X(72240) = barycentric product X(i)*X(j) for these {i,j}: {226, 72056}, {3952, 4763}, {4033, 25569}
X(72240) = barycentric quotient X(i)/X(j) for these {i,j}: {4763, 7192}, {25569, 1019}, {72056, 333}
X(72240) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {42, 4096, 72054}, {42, 72057, 4096}, {210, 4090, 1215}, {1757, 3699, 4434}, {3681, 30942, 49449}, {3952, 19998, 3994}, {3971, 4946, 49462}, {3994, 21805, 19998}, {4849, 49462, 4946}, {32856, 71102, 25351}, {49449, 59511, 30942}

X(72241) = X(2)X(6)∩X(3)X(5358)

X(72241) lies on these lines: {2, 6}, {3, 5358}, {5, 580}, {9, 3772}, {10, 1104}, {11, 212}, {12, 1451}, {31, 3925}, {32, 37326}, {34, 24914}, {37, 40940}, {39, 1212}, {43, 6690}, {44, 226}, {53, 18679}, {55, 37319}, {57, 583}, {58, 8728}, {63, 1086}, {73, 5433}, {75, 44416}, {83, 60235}, {140, 581}, {154, 37367}, {171, 3826}, {210, 3011}, {223, 31231}, {238, 2886}, {239, 33116}, {306, 17362}, {312, 4422}, {321, 17340}, {329, 16885}, {345, 4361}, {377, 64159}, {379, 53422}, {386, 6675}, {387, 16845}, {392, 50759}, {405, 1714}, {427, 2299}, {440, 1751}, {442, 1724}, {443, 4252}, {452, 66104}, {474, 54431}, {499, 7078}, {516, 21949}, {528, 8616}, {536, 56078}, {579, 6678}, {582, 6841}, {594, 5271}, {595, 31419}, {750, 54321}, {756, 17602}, {846, 33132}, {896, 11246}, {899, 5432}, {902, 34612}, {948, 5435}, {978, 4999}, {984, 17061}, {986, 18253}, {1001, 33137}, {1006, 5721}, {1009, 1376}, {1155, 2355}, {1191, 19843}, {1193, 24953}, {1279, 4847}, {1333, 37266}, {1427, 3911}, {1453, 1698}, {1616, 64081}, {1621, 33139}, {1656, 5713}, {1699, 15601}, {1707, 5880}, {1708, 6354}, {1722, 26066}, {1726, 51410}, {1730, 2245}, {1738, 4640}, {1743, 25525}, {1746, 19542}, {1754, 8226}, {1757, 33130}, {1817, 5124}, {1901, 7522}, {1931, 52361}, {1999, 17243}, {2051, 66634}, {2108, 25999}, {2305, 37092}, {2325, 22034}, {2328, 14022}, {2350, 31199}, {2549, 56963}, {2550, 3052}, {2911, 37543}, {2999, 5153}, {3017, 50202}, {3035, 16569}, {3053, 37280}, {3058, 33136}, {3101, 7297}, {3161, 42047}, {3187, 17388}, {3194, 52252}, {3210, 4395}, {3215, 7299}, {3216, 7483}, {3218, 26724}, {3219, 3782}, {3286, 16056}, {3305, 17720}, {3475, 64070}, {3550, 49732}, {3634, 5717}, {3663, 5325}, {3666, 17366}, {3679, 16485}, {3681, 17724}, {3683, 3914}, {3686, 20106}, {3687, 17348}, {3696, 59692}, {3703, 32914}, {3712, 32860}, {3740, 66632}, {3744, 25006}, {3745, 61647}, {3756, 5272}, {3757, 33118}, {3767, 38930}, {3791, 29653}, {3816, 17123}, {3820, 17734}, {3821, 59624}, {3829, 71990}, {3836, 71489}, {3840, 31289}, {3842, 29645}, {3917, 18191}, {3924, 21677}, {3927, 24159}, {3928, 4859}, {3929, 17276}, {3932, 4362}, {3943, 17776}, {3944, 17070}, {3966, 29857}, {3973, 28609}, {3977, 42051}, {3980, 59574}, {4000, 5273}, {4023, 29846}, {4026, 25453}, {4030, 33117}, {4042, 33171}, {4046, 33156}, {4052, 15828}, {4126, 32927}, {4195, 49734}, {4197, 49745}, {4205, 20083}, {4212, 69817}, {4224, 5096}, {4228, 5347}, {4255, 6857}, {4260, 18165}, {4265, 5324}, {4359, 21417}, {4363, 26065}, {4364, 19786}, {4370, 56082}, {4384, 16968}, {4402, 42049}, {4419, 62208}, {4423, 11269}, {4429, 44419}, {4438, 16825}, {4641, 5249}, {4643, 25527}, {4653, 48847}, {4656, 16814}, {4675, 41867}, {4687, 29841}, {4849, 13405}, {4854, 33128}, {4863, 53534}, {4878, 14549}, {4884, 32922}, {4966, 29642}, {4967, 50052}, {4972, 71478}, {4974, 29671}, {4981, 26230}, {5013, 24609}, {5021, 37075}, {5047, 24883}, {5075, 69689}, {5110, 37265}, {5132, 8731}, {5137, 26885}, {5220, 33144}, {5247, 25466}, {5251, 64172}, {5254, 37086}, {5255, 9710}, {5256, 69557}, {5284, 33142}, {5292, 11108}, {5294, 17369}, {5302, 13161}, {5398, 6881}, {5437, 16572}, {5480, 7413}, {5706, 6832}, {5716, 9780}, {5723, 17080}, {5744, 70256}, {5791, 69267}, {5835, 16824}, {5846, 29641}, {5852, 33103}, {6048, 64123}, {6173, 62820}, {6174, 9350}, {6666, 39595}, {6684, 15852}, {6692, 31197}, {6824, 36745}, {6837, 37537}, {6861, 36754}, {6989, 36746}, {6990, 67849}, {7058, 25536}, {7082, 38357}, {7262, 17768}, {7263, 32939}, {7490, 37500}, {7523, 54371}, {7536, 18591}, {7567, 12233}, {7745, 37445}, {7783, 24378}, {8056, 24795}, {8609, 25091}, {8692, 11235}, {8727, 13329}, {9024, 25308}, {9025, 25137}, {9534, 65543}, {10176, 50757}, {11110, 69541}, {11112, 52680}, {11113, 68946}, {11347, 36743}, {11679, 17279}, {13478, 60075}, {13726, 19760}, {13740, 25446}, {14400, 69694}, {15254, 24210}, {15325, 71609}, {15485, 33141}, {15487, 56796}, {15621, 28353}, {16020, 24477}, {16054, 33863}, {16062, 49728}, {16290, 19763}, {16415, 19762}, {16418, 48837}, {16466, 19854}, {16468, 33111}, {16486, 34625}, {16610, 59491}, {16678, 27628}, {16706, 38000}, {16729, 40013}, {16780, 17284}, {16823, 33121}, {16833, 24956}, {16865, 64158}, {17064, 24703}, {17124, 72045}, {17125, 29662}, {17126, 72014}, {17127, 33108}, {17135, 24542}, {17246, 19785}, {17248, 19812}, {17262, 30699}, {17267, 34255}, {17280, 55095}, {17301, 62818}, {17332, 27184}, {17338, 18743}, {17339, 42034}, {17353, 44417}, {17395, 28606}, {17527, 45939}, {17529, 37522}, {17540, 29433}, {17561, 48842}, {17591, 59477}, {17595, 55868}, {17597, 64153}, {17606, 40950}, {17726, 29664}, {17784, 21000}, {17796, 62798}, {18206, 29474}, {19759, 37264}, {19792, 53478}, {19827, 29576}, {20470, 28250}, {21283, 71909}, {21363, 53391}, {21454, 54281}, {21483, 36744}, {21857, 58410}, {23361, 28265}, {23537, 31445}, {24327, 25123}, {24392, 60846}, {24587, 50319}, {24624, 57721}, {24898, 37162}, {24902, 37693}, {24988, 71479}, {25101, 35652}, {25514, 36741}, {25557, 32913}, {25760, 41002}, {26132, 54280}, {26840, 48631}, {27065, 33133}, {27131, 37691}, {27186, 62795}, {28244, 66918}, {28258, 54300}, {28459, 45926}, {28628, 54386}, {29542, 59761}, {29632, 32864}, {29656, 49457}, {29661, 61358}, {29665, 63961}, {29682, 71184}, {29689, 37703}, {29830, 71936}, {29839, 71934}, {29850, 32917}, {29851, 32919}, {29858, 33084}, {29862, 32861}, {29865, 69300}, {29867, 69294}, {29869, 33081}, {29873, 33075}, {30810, 69212}, {31189, 56201}, {31192, 31195}, {31237, 72008}, {31252, 72009}, {32820, 70150}, {32916, 37148}, {32932, 59580}, {33033, 71615}, {33092, 71320}, {33110, 70834}, {33126, 60731}, {33131, 62838}, {33150, 62796}, {33155, 33761}, {37150, 48866}, {37247, 40980}, {37407, 37501}, {37443, 44882}, {37538, 68699}, {37578, 51424}, {37869, 61302}, {38028, 45763}, {41332, 50201}, {43174, 56174}, {45126, 62216}, {45933, 55856}, {48810, 72025}, {48846, 64167}, {48859, 66100}, {48886, 52834}, {49693, 71520}, {49742, 50103}, {50098, 50104}, {50597, 64544}, {50745, 71723}, {50756, 69295}, {54425, 64114}, {55086, 64737}, {55962, 60107}, {56317, 70223}, {57003, 66659}, {59613, 68908}, {60087, 60247}, {61031, 63969}, {62811, 65816}, {62849, 71942}, {63287, 67207}, {63583, 67334}, {70523, 71631}

X(72241) = midpoint of X(i) and X(j) for these {i,j}: {7262, 17889}, {8616, 32865}, {18134, 37652}
X(72241) = complement of X(18134)
X(72241) = complement of the isotomic conjugate of X(1751)
X(72241) = X(i)-complementary conjugate of X(j) for these (i,j): {32, 51574}, {272, 21240}, {1751, 2887}, {2218, 141}, {2997, 626}, {3063, 5190}, {40011, 21235}, {41506, 21245}, {51566, 21262}, {56146, 21244}, {58986, 4369}, {65254, 512}, {65274, 42327}, {66951, 18589}, {68211, 21259}, {68573, 20305}
X(72241) = X(65274)-Ceva conjugate of X(523)
X(72241) = crosspoint of X(i) and X(j) for these (i,j): {2, 1751}, {1016, 65236}
X(72241) = crosssum of X(6) and X(579)
X(72241) = crossdifference of every pair of points on line {512, 23865}
X(72241) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 6, 17056}, {2, 333, 141}, {2, 940, 17245}, {2, 1150, 69092}, {2, 4383, 37662}, {2, 5278, 1211}, {2, 5361, 33172}, {2, 5372, 71999}, {2, 5739, 30811}, {2, 14829, 72001}, {2, 16704, 18139}, {2, 17277, 5743}, {2, 17349, 4417}, {2, 18141, 17265}, {2, 19732, 1213}, {2, 19742, 3936}, {2, 24597, 940}, {2, 32911, 5718}, {2, 35466, 37646}, {2, 37642, 37674}, {2, 37650, 37679}, {2, 37652, 18134}, {2, 37655, 53665}, {2, 37656, 30831}, {2, 37666, 4648}, {2, 37679, 51415}, {2, 37680, 37663}, {2, 37681, 63089}, {2, 37683, 17234}, {2, 62998, 41878}, {2, 63010, 30834}, {2, 63013, 15668}, {2, 63037, 30828}, {2, 63096, 37651}, {2, 71987, 5241}, {9, 3772, 4415}, {31, 71994, 3925}, {63, 24789, 1086}, {171, 71996, 3826}, {238, 33138, 2886}, {405, 1714, 1834}, {748, 24892, 11}, {846, 33132, 66071}, {896, 69253, 11246}, {940, 24597, 61661}, {1211, 5278, 17330}, {1621, 33139, 71938}, {1708, 37695, 6354}, {3008, 5745, 3752}, {3218, 26724, 40688}, {3219, 3782, 17334}, {3219, 33129, 3782}, {3589, 62689, 2}, {3666, 26723, 17366}, {3681, 29681, 17724}, {3757, 33118, 49524}, {3929, 23681, 17276}, {4395, 59583, 3210}, {4429, 71476, 44419}, {4438, 16825, 69091}, {4641, 5249, 17365}, {5271, 32777, 594}, {5294, 31993, 17369}, {5324, 37261, 4265}, {15485, 33141, 49736}, {17064, 24703, 62221}, {17123, 33140, 3816}, {17127, 33108, 63979}, {17245, 61661, 940}, {17337, 37646, 2}, {17778, 71915, 3629}, {18679, 37279, 53}, {19723, 30811, 5739}, {26723, 54357, 3666}, {29632, 32864, 71937}, {29642, 32853, 4966}, {31187, 37650, 51415}, {31187, 37679, 2}, {31204, 37680, 2}, {31229, 71987, 2}, {32914, 33115, 3703}, {41867, 62812, 4675}, {41878, 68966, 62998}

X(72242) = X(900)X(14027)∩X(952)X(65153)

Antreas Hatzipolakis and Peter Moses, euclid 9356.

X(72242) lies on the incircle and these lines: {900, 14027}, {952, 65153}, {1317, 39753}, {2802, 13756}, {2827, 3025}, {3319, 67474}, {10774, 14584}

X(72242) = reflection of X(14027) in the line X(1)X(5)

X(72243) = AAKERBEERE POINT

The Aakerbeere point appears here: X(72243). A point on the Euler line, contributed by Markus Weyermann, April 13, 2026.

X(72243) lies on these lines: {2, 3}, {11, 110}, {12, 14513}, {119, 6740}, {226, 70778}, {476, 5520}, {759, 8068}, {3615, 15381}, {4806, 10129}, {5640, 60071}, {7951, 56950}, {8070, 37816}, {10523, 54313}, {11680, 69838}, {12047, 67440}, {18180, 31847}, {19754, 19771}, {51382, 67857}

X(72244) = X(103)X(39558)∩X(104)X(56763)

Antreas Hatzipolakis and Peter Moses, euclid 9357.

X(72244) lies on the circumcircle and these lines: {103, 39558}, {104, 56763}, {108, 14298}, {109, 10397}, {652, 8059}, {934, 64885}, {971, 67768}, {1436, 53911}, {2272, 67772}, {3900, 40117}, {32625, 53915}, {36049, 53622}

X(72244) = isogonal conjugate of X(55144)
X(72244) = X(i)-isoconjugate of X(j) for these (i,j): {1, 55144}, {971, 14837}, {2272, 17896}, {8058, 43044}, {14298, 51364}
X(72244) = X(3)-Dao conjugate of X(55144)
X(72244) = trilinear pole of line {6, 32652}
X(72244) = barycentric product X(i)*X(j) for these {i,j}: {972, 13138}, {32652, 46137}
X(72244) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 55144}, {972, 17896}, {8059, 51364}, {32652, 971}

X(72245) = 10TH ZHAO CENTER

X(72245) lies on these lines: {1, 3495}, {6, 43}, {31, 1911}, {32, 1397}, {55, 21760}, {57, 7167}, {81, 310}, {86, 56333}, {181, 5052}, {184, 14599}, {213, 21010}, {222, 1424}, {238, 1613}, {295, 30646}, {560, 18262}, {604, 7104}, {651, 56358}, {748, 3231}, {750, 20965}, {846, 16525}, {904, 7121}, {940, 23660}, {982, 71833}, {1001, 23417}, {1015, 1401}, {1185, 2308}, {1191, 23523}, {1196, 3271}, {1206, 37685}, {1395, 2211}, {1402, 3402}, {1403, 9315}, {1501, 52434}, {1616, 23559}, {1914, 3955}, {1979, 3550}, {2056, 51328}, {2176, 23566}, {2235, 4362}, {2275, 3784}, {2300, 3167}, {3094, 7186}, {3116, 7032}, {3117, 8022}, {3248, 23543}, {4383, 20669}, {5017, 5329}, {7262, 16514}, {7290, 23565}, {8616, 21788}, {9454, 62420}, {9463, 17127}, {16466, 23525}, {16468, 21779}, {16834, 20963}, {17123, 21001}, {17126, 62991}, {17475, 32934}, {17716, 71830}, {18170, 21776}, {18194, 21387}, {18268, 40746}, {19807, 41232}, {20727, 22398}, {21769, 22163}, {21813, 40130}, {21827, 69977}, {21838, 69971}, {22039, 71458}, {32911, 71882}, {40153, 70848}, {40418, 46922}, {42295, 61396}, {56806, 71834}, {69282, 70228}

X(72245) = isogonal conjugate of the isotomic conjugate of X(2275)
X(72245) = X(i)-Ceva conjugate of X(j) for these (i,j): {81, 982}, {651, 667}
X(72245) = X(40935)-cross conjugate of X(7032)
X(72245) = X(i)-isoconjugate of X(j) for these (i,j): {2, 7033}, {6, 7034}, {10, 38810}, {75, 17743}, {76, 983}, {85, 56180}, {213, 59146}, {274, 56196}, {312, 56358}, {314, 70315}, {321, 40415}, {693, 4621}, {740, 40834}, {756, 7307}, {873, 43265}, {984, 3114}, {1215, 40835}, {2276, 46281}, {3113, 3661}, {3407, 33931}, {3596, 7132}, {4033, 7255}, {4391, 65291}, {7305, 28654}, {8684, 65101}, {27801, 38813}, {27805, 63244}, {33930, 72124}, {41527, 70022}
X(72245) = X(i)-Dao conjugate of X(j) for these (i,j): {9, 7034}, {206, 17743}, {2887, 321}, {3271, 4391}, {6626, 59146}, {19602, 71857}, {32664, 7033}, {41771, 1502}, {41886, 28659}, {52657, 561}, {52658, 3661}
X(72245) = cevapoint of X(i) and X(j) for these (i,j): {7032, 56806}, {21751, 40935}
X(72245) = crosspoint of X(i) and X(j) for these (i,j): {81, 2206}, {604, 7121}
X(72245) = crosssum of X(i) and X(j) for these (i,j): {37, 313}, {75, 17786}, {76, 59518}, {312, 6376}, {3693, 64223}, {29003, 34387}
X(72245) = crossdifference of every pair of points on line {3766, 4083}
X(72245) = barycentric product X(i)*X(j) for these {i,j}: {1, 7032}, {6, 2275}, {25, 3784}, {31, 982}, {32, 3662}, {34, 20753}, {41, 41777}, {55, 7248}, {56, 3056}, {57, 20665}, {58, 3778}, {81, 16584}, {86, 40935}, {87, 56806}, {100, 50514}, {172, 3863}, {256, 71834}, {274, 21751}, {286, 22364}, and many others
X(72245) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 7034}, {31, 7033}, {32, 17743}, {86, 59146}, {560, 983}, {593, 7307}, {982, 561}, {985, 46281}, {1333, 38810}, {1397, 56358}, {1918, 56196}, {2175, 56180}, {2206, 40415}, {2275, 76}, {3056, 3596}, {3061, 28659}, {3094, 71857}, , and many others
X(72245) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 2162, 171}, {6, 21792, 43}, {31, 3051, 40728}, {43, 21792, 71881}, {1197, 21757, 6}, {1613, 23538, 238}, {1977, 3051, 31}, {7032, 20665, 16584}, {71833, 71835, 982}

X(72246) = 11TH ZHAO CENTER

X(72246) lies on these lines: {525, 1577}, {649, 693}, {661, 27712}, {850, 28654}, {3801, 50549}, {4897, 70871}, {7212, 70383}, {18074, 20950}, {20508, 40166}, {23100, 62556}, {23786, 70929}, {30910, 31286}, {42662, 69339}, {48084, 68882}

X(72246) = X(60244)-Ceva conjugate of X(16732)
X(72246) = X(i)-isoconjugate of X(j) for these (i,j): {101, 38813}, {163, 983}, {284, 8685}, {1576, 17743}, {2206, 4621}, {2276, 58111}, {7132, 65375}, {7255, 23990}, {7305, 69826}, {8684, 69888}, {32739, 40415}, {33514, 40728}, {57657, 65291}
X(72246) = X(i)-Dao conjugate of X(j) for these (i,j): {115, 983}, {1015, 38813}, {2887, 32739}, {3271, 57657}, {4858, 17743}, {16584, 100}, {19563, 69889}, {19564, 69894}, {21138, 27644}, {21210, 69211}, {36901, 7033}, {40590, 8685}, {40603, 4621}, {40619, 40415}, {40620, 7305}, {40622, 7132}, {41771, 662}, {41886, 5546}, {52657, 110}, {62570, 65291}
X(72246) = crossdifference of every pair of points on line {869, 2194}
X(72246) = barycentric product X(i)*X(j) for these {i,j}: {75, 3801}, {313, 3777}, {321, 3776}, {514, 20234}, {523, 33930}, {693, 2887}, {850, 982}, {870, 70168}, {871, 50549}, {1441, 3810}, {1577, 3662}, {2275, 20948}, {3261, 3721}, {3700, 69663}, {3705, 4077}, {3778, 40495}, {3888, 21207}, {4036, 33947}, {4086, 7185}, {4136, 24002}, {4391, 16888}, {7032, 44173}, {7199, 16886}, {7237, 52619}, {7239, 23989}, {16732, 33946}, {16889, 48084}
X(72246) = barycentric quotient X(i)/X(j) for these {i,j}: {65, 8685}, {321, 4621}, {513, 38813}, {523, 983}, {693, 40415}, {850, 7033}, {870, 33514}, {982, 110}, {985, 58111}, {1111, 7255}, {1441, 65291}, {1577, 17743}, {2275, 163}, {2887, 100}, {3056, 65375}, {3061, 5546}, {3261, 38810}, {3662, 662}, {3705, 643}, {3721, 101}, {3776, 81}, {3777, 58}, {3778, 692}, {3784, 4575}, {3794, 4636}, {3801, 1}, {3808, 5009}, {3810, 21}, {3888, 4570}, {4036, 56196}, {4077, 56358}, {4086, 56180}, {4136, 644}, {7032, 1576}, {7178, 7132}, {7185, 1414}, {7192, 7305}, {7237, 4557}, {7239, 1252}, {16584, 32739}, {16886, 1018}, {16888, 651}, {17415, 18900}, {18904, 69889}, {18905, 69894}, {20234, 190}, {20727, 906}, {33930, 99}, {33946, 4567}, {33947, 52935}, {41777, 4565}, {43534, 8684}, {44173, 7034}, {50514, 2206}, {50549, 869}, {53533, 52680}, {62753, 1110}, {69663, 4573}, {69666, 70315}, {70168, 984}, {71243, 8750}

X(72247) = X(6)X(31)∩X(238)X(519)

X(72247) lies on these lines: {1, 19238}, {6, 31}, {44, 3747}, {58, 55932}, {86, 6685}, {100, 71444}, {101, 59053}, {171, 46922}, {238, 519}, {239, 64869}, {386, 3792}, {524, 2239}, {528, 69056}, {560, 16946}, {595, 16477}, {662, 56837}, {667, 788}, {692, 2210}, {696, 70985}, {744, 71647}, {748, 4042}, {872, 2300}, {890, 33917}, {899, 52897}, {1100, 20964}, {1149, 54333}, {1404, 70620}, {1743, 71963}, {1911, 9456}, {1964, 20228}, {2183, 3122}, {2220, 7122}, {2223, 3248}, {2228, 3882}, {2245, 20456}, {2274, 37502}, {2347, 40934}, {2663, 71672}, {2664, 71674}, {3009, 4557}, {3286, 23579}, {3686, 69550}, {3741, 17123}, {3764, 4266}, {3778, 4271}, {3912, 68879}, {3939, 16786}, {3941, 23524}, {4279, 4649}, {4360, 51902}, {4366, 71138}, {4421, 71899}, {4433, 70414}, {4436, 68884}, {4475, 70991}, {4966, 28256}, {7032, 15624}, {7113, 18266}, {9265, 21788}, {9359, 71673}, {16666, 20985}, {16679, 23532}, {16690, 17135}, {16694, 23539}, {17121, 71139}, {17126, 63108}, {17259, 31241}, {19945, 52896}, {20011, 63050}, {20663, 71041}, {20984, 67501}, {20990, 63504}, {21257, 29395}, {21750, 40972}, {21785, 34247}, {23370, 23427}, {23393, 23457}, {27631, 71936}, {28242, 71937}, {28356, 71938}, {28607, 40735}, {29695, 34832}, {30903, 46903}, {37588, 71873}, {37610, 50300}, {40433, 57399}, {58368, 65741}, {60714, 69529}, {63978, 69638}, {68749, 69701}, {69008, 72207}, {70401, 70666}, {71415, 71535}

X(72247) = midpoint of X(i) and X(j) for these {i,j}: {42, 71090}, {71098, 71105}
X(72247) = reflection of X(i) in X(j) for these {i,j}: {42, 71105}, {4475, 70991}, {71090, 71098}
X(72247) = isogonal conjugate of X(31002)
X(72247) = isogonal conjugate of the isotomic conjugate of X(899)
X(72247) = X(i)-Ceva conjugate of X(j) for these (i,j): {34075, 1919}, {59071, 649}, {62740, 3230}
X(72247) = X(i)-isoconjugate of X(j) for these (i,j): {1, 31002}, {2, 3227}, {7, 36798}, {75, 37129}, {76, 739}, {81, 60288}, {86, 41683}, {99, 35353}, {190, 62619}, {310, 62763}, {513, 889}, {514, 4607}, {536, 57542}, {667, 57994}, {668, 43928}, {671, 52757}, {693, 898}, {789, 69482}, {799, 69478}, {811, 69483}, {903, 36872}, {1086, 5381}, {1240, 62769}, {1494, 52754}, {1646, 57572}, {1978, 23892}, {2481, 64612}, {3261, 34075}, {4554, 69481}, {4602, 69480}, {6386, 23349}, {18816, 63852}, {18821, 52761}, {18822, 52768}, {20568, 69479}, {32718, 40495}, {46780, 64237}
X(72247) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 31002}, {206, 37129}, {6631, 57994}, {13466, 561}, {14434, 1111}, {17423, 69483}, {32664, 3227}, {38986, 35353}, {38996, 69478}, {39011, 3261}, {39026, 889}, {40586, 60288}, {40600, 41683}, {40614, 76}, {52875, 313}, {52882, 1502}, {55053, 62619}
X(72247) = crosspoint of X(i) and X(j) for these (i,j): {765, 34075}, {3230, 62739}
X(72247) = crosssum of X(i) and X(j) for these (i,j): {1, 69029}, {2, 29824}, {75, 6381}, {244, 4728}, {514, 19945}, {3227, 36798}, {41683, 60288}
X(72247) = crossdifference of every pair of points on line {75, 514}
X(72247) = barycentric product X(i)*X(j) for these {i,j}: {1, 3230}, {6, 899}, {9, 62739}, {31, 536}, {32, 6381}, {37, 62740}, {41, 43037}, {42, 52897}, {55, 52896}, {58, 52959}, {71, 52890}, {100, 3768}, {101, 891}, {109, 4526}, {163, 14431}, {190, 890}, {213, 62755}, {513, 68825}, {560, 35543}, {604, 4009}, {649, 23343}, {662, 14404}, {663, 69658}, {667, 23891}, {672, 52902}, {692, 4728}, {739, 42083}, {765, 1646}, {898, 68134}, {901, 14437}, {902, 52900}, {909, 61672}, {1110, 52626}, {1174, 71710}, {1252, 19945}, {1333, 3994}, {1415, 14430}, {1911, 4465}, {1918, 70146}, {1919, 41314}, {2175, 69660}, {2176, 71434}, {2177, 52901}, {2183, 45145}, {2223, 36816}, {2251, 52755}, {2300, 62761}, {3063, 69659}, {4937, 28607}, {6632, 33917}, {14426, 34071}, {14433, 34067}, {14434, 34075}, {20228, 62760}, {23349, 68131}, {28603, 34073}, {30583, 32665}, {37129, 59797}, {46782, 71787}
X(72247) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 31002}, {31, 3227}, {32, 37129}, {41, 36798}, {42, 60288}, {101, 889}, {190, 57994}, {213, 41683}, {536, 561}, {560, 739}, {667, 62619}, {669, 69478}, {692, 4607}, {798, 35353}, {890, 514}, {891, 3261}, {899, 76}, {922, 52757}, {1110, 5381}, {1646, 1111}, {1919, 43928}, {1980, 23892}, {2205, 62763}, {2251, 36872}, {3049, 69483}, {3230, 75}, {3768, 693}, {3994, 27801}, {4009, 28659}, {4465, 18891}, {4526, 35519}, {4728, 40495}, {6381, 1502}, {9406, 52754}, {9426, 69480}, {9454, 64612}, {9459, 69479}, {14404, 1577}, {14431, 20948}, {14437, 65867}, {19945, 23989}, {23343, 1978}, {23891, 6386}, {32739, 898}, {33917, 6545}, {35543, 1928}, {42083, 35543}, {43037, 20567}, {46386, 69482}, {52890, 44129}, {52896, 6063}, {52897, 310}, {52900, 57995}, {52902, 18031}, {52959, 313}, {59797, 6381}, {61049, 69660}, {62739, 85}, {62740, 274}, {62755, 6385}, {68825, 668}, {69658, 4572}, {69660, 41283}, {71434, 6383}, {71710, 1233}, {71787, 46780}
X(72247) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 55, 71872}, {6, 2209, 1918}, {6, 8053, 22343}, {6, 64169, 2309}, {238, 71463, 68966}, {692, 2210, 9459}, {692, 33882, 2210}, {1914, 71787, 902}, {3882, 71026, 2228}, {21760, 41333, 9454}, {46922, 69497, 171}

X(72248) = X(6)X(31)∩X(41)X(23393)

X(72248) lies on these lines: {6, 31}, {41, 23393}, {659, 3004}, {2223, 71453}, {3286, 8300}, {4251, 23370}, {4253, 23851}, {4557, 16693}, {5276, 16679}, {8666, 52015}, {16552, 16683}, {16684, 53337}, {18164, 18192}, {18169, 58572}, {37632, 70483}, {45751, 53268}, {68760, 70911}

X(72248) = crossdifference of every pair of points on line {514, 1500}
X(72248) = {X(16693),X(63087)}-harmonic conjugate of X(4557)

X(72249) = X(6)X(31)∩X(100)X(190)

X(72249) lies on these lines: {2, 24447}, {6, 31}, {100, 190}, {101, 8671}, {667, 1023}, {692, 34071}, {813, 875}, {982, 64553}, {984, 62312}, {1018, 53268}, {1252, 69890}, {1376, 4713}, {1621, 71133}, {3009, 52633}, {3573, 5378}, {3730, 23851}, {4069, 61235}, {4553, 23363}, {4570, 56980}, {4874, 42719}, {6016, 8693}, {16549, 16683}, {16997, 31087}, {17596, 24426}, {20331, 69099}, {20470, 47048}, {20672, 20873}, {20990, 25804}, {23354, 69086}, {23370, 24047}, {24309, 50686}, {29324, 69661}, {29329, 29363}, {35327, 40519}, {40521, 61234}, {45903, 69248}, {51634, 70725}, {52964, 69018}, {54333, 58863}, {56010, 67431}, {70836, 70849}

X(72249) = isogonal conjugate of X(62638)
X(72249) = isogonal conjugate of the anticomplement of X(62558)
X(72249) = isogonal conjugate of the isotomic conjugate of X(23354)
X(72249) = X(20696)-anticomplementary conjugate of X(149)
X(72249) = X(i)-Ceva conjugate of X(j) for these (i,j): {3573, 2284}, {5378, 6}, {20696, 46148}, {34067, 4557}
X(72249) = X(i)-cross conjugate of X(j) for these (i,j): {6373, 3009}, {38367, 6}, {65498, 70658}
X(72249) = X(i)-isoconjugate of X(j) for these (i,j): {1, 62638}, {75, 23355}, {81, 70307}, {82, 35367}, {244, 8709}, {274, 66947}, {513, 3226}, {514, 20332}, {649, 32020}, {693, 727}, {876, 3253}, {1019, 27809}, {1022, 60865}, {3248, 54985}, {3261, 34077}, {3669, 36799}, {3676, 8851}, {3766, 63881}, {7192, 18793}
X(72249) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 62638}, {141, 35367}, {206, 23355}, {1575, 65101}, {3009, 20525}, {5375, 32020}, {17793, 693}, {20340, 20512}, {20532, 3261}, {22116, 66286}, {39026, 3226}, {40586, 70307}
X(72249) = cevapoint of X(i) and X(j) for these (i,j): {649, 59454}, {3009, 6373}, {8632, 20669}, {20340, 20525}
X(72249) = crosspoint of X(i) and X(j) for these (i,j): {100, 813}, {1252, 65363}, {69069, 69087}
X(72249) = crosssum of X(i) and X(j) for these (i,j): {513, 812}, {514, 3837}
X(72249) = trilinear pole of line {3009, 20663}
X(72249) = crossdifference of every pair of points on line {514, 1015}
X(72249) = barycentric product X(i)*X(j) for these {i,j}: {6, 23354}, {10, 69069}, {37, 69087}, {42, 69086}, {99, 21830}, {100, 1575}, {101, 726}, {190, 3009}, {644, 1463}, {660, 17475}, {668, 21760}, {692, 52043}, {813, 17793}, {1016, 6373}, {1018, 18792}, {1023, 36814}, {1110, 20908}, {1252, 3837}, {1897, 20785}, {1978, 70658}, {2702, 59724}, {3570, 40155}, {3573, 52656}, {3939, 43040}, {4557, 62636}, {4562, 20663}, {4570, 21053}, {4584, 20681}, {4595, 71435}, {5378, 62558}, {5548, 24816}, {6335, 20777}, {6632, 52633}, {8709, 20671}, {15742, 22092}, {20750, 65338}, {21140, 59149}, {27044, 40519}, {32739, 35538}, {34067, 62553}, {36863, 51864}, {40881, 52923}, {67196, 69085}
X(72249) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 62638}, {32, 23355}, {39, 35367}, {42, 70307}, {100, 32020}, {101, 3226}, {692, 20332}, {726, 3261}, {1016, 54985}, {1252, 8709}, {1463, 24002}, {1575, 693}, {1918, 66947}, {3009, 514}, {3837, 23989}, {3939, 36799}, {4557, 27809}, {4595, 64226}, {6373, 1086}, {17475, 3766}, {17793, 65101}, {18792, 7199}, {20663, 812}, {20671, 3837}, {20777, 905}, {20785, 4025}, {21053, 21207}, {21140, 23100}, {21760, 513}, {21830, 523}, {22092, 1565}, {23344, 60865}, {23354, 76}, {32739, 727}, {38367, 27846}, {40155, 4444}, {43040, 52621}, {51864, 43931}, {52043, 40495}, {52633, 6545}, {52656, 66286}, {52923, 40844}, {62636, 52619}, {65498, 6377}, {69069, 86}, {69086, 310}, {69087, 274}, {69826, 18793}, {69889, 3253}, {70658, 649}
X(72249) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4436, 23343, 70939}, {68825, 71787, 23344}

X(72250) = X(6)X(31)∩X(192)X(4430)

X(72250) lies on these lines: {6, 31}, {192, 4430}, {256, 69700}, {291, 71419}, {320, 350}, {511, 8299}, {518, 70839}, {527, 35645}, {766, 57015}, {1009, 67967}, {1575, 20863}, {1964, 24513}, {2238, 3271}, {2275, 4116}, {2388, 45751}, {3720, 67961}, {3817, 3840}, {3930, 9016}, {4161, 23473}, {7155, 55035}, {14963, 23646}, {17759, 25048}, {18050, 38844}, {21331, 69696}, {21746, 24512}, {23414, 40935}, {30993, 33852}, {63066, 64751}

X(72250) = reflection of X(62753) in X(57015)
X(72250) = isogonal conjugate of the isotomic conjugate of X(68951)
X(72250) = crosssum of X(i) and X(j) for these (i,j): {2, 71535}, {10, 70839}
X(72250) = crossdifference of every pair of points on line {213, 514}
X(72250) = barycentric product X(i)*X(j) for these {i,j}: {1, 68952}, {6, 68951}
X(72250) = barycentric quotient X(i)/X(j) for these {i,j}: {68951, 76}, {68952, 75}
X(72250) = {X(30941),X(70682)}-harmonic conjugate of X(350)

X(72251) = X(6)X(31)∩X(100)X(21760)

X(72251) lies on these lines: {6, 31}, {100, 21760}, {239, 1016}, {899, 21788}, {1185, 42043}, {3030, 3291}, {3051, 60714}, {3231, 56009}, {3240, 40728}, {3722, 71833}, {3750, 20965}, {9350, 21001}, {9463, 71881}, {16514, 21805}, {16969, 17125}, {17475, 32927}, {20669, 70834}, {20861, 56878}, {32944, 69245}, {46904, 71830}

X(72251) = crossdifference of every pair of points on line {514, 8027}
X(72251) = {X(3231),X(59797)}-harmonic conjugate of X(56009)

X(72252) = X(6)X(31)∩X(36)X(238)

X(72252) lies on these lines: {3, 4471}, {6, 31}, {9, 3941}, {11, 46521}, {35, 16477}, {36, 238}, {37, 16679}, {39, 4749}, {44, 2223}, {45, 21010}, {56, 52896}, {86, 5284}, {87, 16690}, {100, 62296}, {172, 70547}, {190, 71415}, {213, 23370}, {239, 4436}, {350, 70938}, {524, 8299}, {527, 551}, {583, 21746}, {673, 30295}, {692, 5053}, {894, 16684}, {896, 69701}, {898, 57542}, {956, 48805}, {1009, 72217}, {1015, 39688}, {1086, 69723}, {1100, 4068}, {1203, 17524}, {1213, 71288}, {1376, 16396}, {1486, 4497}, {1621, 46922}, {1631, 7083}, {1634, 1931}, {1743, 15624}, {1977, 69971}, {2110, 3196}, {2175, 4268}, {2176, 23393}, {2210, 3285}, {2245, 3271}, {2260, 71278}, {2278, 60722}, {2283, 37787}, {2486, 68947}, {2975, 71873}, {3218, 16494}, {3219, 16687}, {3230, 62763}, {3246, 53307}, {3248, 3747}, {3683, 40956}, {3758, 23407}, {3764, 4286}, {3792, 68735}, {4038, 18166}, {4203, 72200}, {4253, 64751}, {4383, 71899}, {4419, 67331}, {4422, 4447}, {4432, 15571}, {4433, 4969}, {4492, 22520}, {4516, 56531}, {4559, 51657}, {5010, 5132}, {5022, 40955}, {5124, 23868}, {5201, 20878}, {5220, 37590}, {6767, 62828}, {7032, 16685}, {7113, 35327}, {7193, 69709}, {7292, 53310}, {7299, 69994}, {8167, 15668}, {9016, 39258}, {9708, 48826}, {11322, 72203}, {13476, 55340}, {14100, 22079}, {15254, 37609}, {15447, 27628}, {15485, 37587}, {16476, 24696}, {16482, 69029}, {16484, 37602}, {16495, 67431}, {16505, 23832}, {16678, 17127}, {16686, 17798}, {16786, 40910}, {16885, 34247}, {17031, 68980}, {17045, 45705}, {17259, 32916}, {17374, 70100}, {17455, 68748}, {17463, 69084}, {18164, 58571}, {18206, 57024}, {18805, 24255}, {19762, 23383}, {20367, 64523}, {20875, 33854}, {21006, 23467}, {23343, 36872}, {23851, 69231}, {23855, 37580}, {24036, 70428}, {25439, 50283}, {27164, 70406}, {27623, 27631}, {28265, 64159}, {29769, 57034}, {29824, 69008}, {30667, 70951}, {32911, 69529}, {34371, 53297}, {35000, 37510}, {35992, 72197}, {37129, 68760}, {37908, 52413}, {39982, 56853}, {39995, 68949}, {40560, 43053}, {40988, 71093}, {41310, 70101}, {43065, 44670}, {44671, 45751}, {48866, 50302}, {54300, 54354}, {54391, 71864}, {57523, 62805}, {61155, 63108}, {64546, 72183}, {67401, 69903}, {68986, 71467}, {69976, 70955}, {70116, 70117}, {70934, 71800}

X(72252) = reflection of X(71013) in X(24036)
X(72252) = isogonal conjugate of the anticomplement of X(40614)
X(72252) = isogonal conjugate of the isotomic conjugate of X(29824)
X(72252) = X(i)-Ceva conjugate of X(j) for these (i,j): {37129, 6}, {70110, 45751}, {70834, 3230}
X(72252) = X(i)-isoconjugate of X(j) for these (i,j): {651, 60575}, {693, 59071}
X(72252) = X(i)-Dao conjugate of X(j) for these (i,j): {899, 6381}, {38991, 60575}, {68938, 35543}
X(72252) = crosspoint of X(i) and X(j) for these (i,j): {58, 739}, {898, 1252}, {4623, 5381}
X(72252) = crosssum of X(i) and X(j) for these (i,j): {2, 19998}, {10, 536}, {513, 68967}, {891, 1086}, {1646, 50487}
X(72252) = crossdifference of every pair of points on line {37, 514}
X(72252) = X(16679)-line conjugate of X(37)
X(72252) = barycentric product X(i)*X(j) for these {i,j}: {1, 45751}, {6, 29824}, {37, 70110}, {42, 69008}, {58, 68938}, {81, 44671}, {101, 68896}, {110, 69562}, {213, 70111}, {256, 70119}, {291, 70118}, {292, 70116}, {513, 68812}, {649, 68989}, {667, 70112}, {893, 70117}, {904, 70121}, {1018, 70115}, {1911, 70120}, {3733, 70114}, {4557, 70113}, {30650, 70122}, {37129, 40614}, {65026, 70123}
X(72252) = barycentric quotient X(i)/X(j) for these {i,j}: {663, 60575}, {29824, 76}, {32739, 59071}, {40614, 6381}, {44671, 321}, {45751, 75}, {68812, 668}, {68896, 3261}, {68938, 313}, {68989, 1978}, {69008, 310}, {69562, 850}, {70110, 274}, {70111, 6385}, {70112, 6386}, {70113, 52619}, {70114, 27808}, {70115, 7199}, {70116, 1921}, {70117, 1920}, {70118, 350}, {70119, 1909}, {70120, 18891}
X(72252) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 8053, 64169}, {6, 20992, 8053}, {9, 3941, 20990}, {31, 2267, 47373}, {31, 71872, 6}, {36, 238, 54333}, {36, 54333, 20470}, {44, 2223, 4557}, {238, 3286, 20470}, {238, 71444, 52897}, {238, 71784, 49997}, {239, 71673, 4436}, {672, 902, 71787}, {993, 50300, 1001}, {1486, 5120, 4497}, {1743, 16688, 15624}, {1918, 22343, 6}, {3286, 54333, 36}, {4557, 16694, 2223}, {7083, 36743, 1631}, {16686, 17798, 23854}, {20992, 36635, 6}, {20992, 71872, 52139}, {52680, 71867, 238}, {52897, 71889, 71444}, {70116, 70123, 70122}

X(72253) = X(1)X(82)∩X(6)X(31)

X(72253) lies on these lines: {1, 82}, {6, 31}, {35, 4283}, {37, 2210}, {48, 18614}, {86, 1582}, {284, 1964}, {572, 3248}, {584, 869}, {872, 4251}, {984, 5248}, {986, 12194}, {1045, 33760}, {1100, 7122}, {1333, 20985}, {1580, 4360}, {1621, 70661}, {1631, 63497}, {1654, 33175}, {1950, 70620}, {1962, 69855}, {2174, 3009}, {2175, 2241}, {2214, 40747}, {2220, 20964}, {2278, 7032}, {3122, 23868}, {3285, 16679}, {3662, 24707}, {4268, 23524}, {4381, 4812}, {4429, 17381}, {5037, 41265}, {5224, 32783}, {7113, 63504}, {8300, 17277}, {10436, 69205}, {16683, 34247}, {16793, 22370}, {17280, 68891}, {17302, 18209}, {17315, 68898}, {18040, 24294}, {18266, 20990}, {24325, 70451}, {25422, 70583}, {28597, 41252}, {32914, 70445}, {56534, 58287}, {63053, 70482}, {69212, 69550}, {69887, 71139}, {70541, 71495}

X(72253) = isogonal conjugate of the isotomic conjugate of X(32914)
X(72253) = X(70446)-Ceva conjugate of X(69212)
X(72253) = X(693)-isoconjugate of X(29071)
X(72253) = X(69212)-Dao conjugate of X(69672)
X(72253) = crosssum of X(i) and X(j) for these (i,j): {1, 69671}, {2, 33093}, {2643, 4129}
X(72253) = crossdifference of every pair of points on line {514, 8061}
X(72253) = barycentric product X(i)*X(j) for these {i,j}: {1, 69212}, {6, 32914}, {37, 70446}, {42, 70445}, {58, 69549}, {75, 5371}, {81, 69550}, {100, 68880}, {101, 29070}, {110, 69548}, {163, 69619}, {513, 70444}, {662, 69618}
X(72253) = barycentric quotient X(i)/X(j) for these {i,j}: {5371, 1}, {29070, 3261}, {32739, 29071}, {32914, 76}, {68880, 693}, {69212, 75}, {69548, 850}, {69549, 313}, {69550, 321}, {69618, 1577}, {69619, 20948}, {70444, 668}, {70445, 310}, {70446, 274}
X(72253) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 55, 21035}, {1914, 19133, 1918}

X(72254) = X(6)X(31)∩X(1015)X(21009)

X(72254) lies on these lines: {6, 31}, {1015, 21009}, {2210, 35327}, {2220, 16679}, {3248, 3285}, {3733, 5009}, {3882, 71055}, {4471, 16502}, {4557, 33882}, {8300, 52897}, {16702, 69632}, {16784, 53316}, {16946, 20990}, {44671, 70439}, {46922, 70718}, {68960, 69563}, {69008, 70908}

X(72254) = isogonal conjugate of the isotomic conjugate of X(68958)
X(72254) = crosssum of X(10) and X(71007)
X(72254) = crossdifference of every pair of points on line {514, 594}
X(72254) = barycentric product X(i)*X(j) for these {i,j}: {1, 68960}, {6, 68958}, {31, 70983}, {56, 71025}, {58, 68941}, {81, 69563}, {101, 68959}
X(72254) = barycentric quotient X(i)/X(j) for these {i,j}: {68941, 313}, {68958, 76}, {68959, 3261}, {68960, 75}, {69563, 321}, {70983, 561}, {71025, 3596}

X(72255) = X(1)X(8621)∩X(6)X(750)

X(72255) lies on these lines: {1, 8621}, {2, 72245}, {6, 750}, {31, 172}, {38, 71835}, {42, 21792}, {81, 239}, {100, 21760}, {110, 14599}, {171, 3051}, {238, 1977}, {244, 71833}, {292, 2225}, {649, 834}, {660, 1922}, {739, 898}, {748, 21001}, {896, 16514}, {902, 1979}, {940, 70940}, {1185, 2664}, {1691, 52434}, {1911, 8622}, {2106, 62410}, {2209, 21787}, {2229, 69971}, {2235, 17763}, {2280, 68749}, {2308, 21779}, {3240, 71881}, {3271, 3291}, {3510, 70932}, {3888, 71021}, {4396, 70952}, {4414, 16525}, {5205, 5276}, {5284, 23417}, {5383, 7035}, {7186, 20859}, {7766, 40736}, {8616, 71482}, {9225, 51328}, {9360, 71453}, {9362, 71536}, {9463, 17126}, {14996, 17029}, {16477, 71880}, {17122, 20965}, {17125, 62712}, {17475, 32845}, {18268, 70443}, {20332, 70910}, {20669, 37680}, {21757, 32911}, {23660, 37633}, {26048, 37652}, {27169, 71472}, {28365, 63563}, {29824, 69502}, {32748, 34252}, {34251, 63504}, {51983, 71832}, {56802, 70484}, {60697, 68754}, {61234, 71419}, {62821, 68751}, {63074, 71882}, {64643, 69713}, {68987, 70356}, {70391, 71413}

X(72255) = isogonal conjugate of the anticomplement of X(52882)
X(72255) = isogonal conjugate of the isotomic conjugate of X(71413)
X(72255) = X(68987)-cross conjugate of X(71444)
X(72255) = X(i)-isoconjugate of X(j) for these (i,j): {37, 18826}, {321, 715}
X(72255) = X(i)-Dao conjugate of X(j) for these (i,j): {2229, 35543}, {40589, 18826}, {65940, 313}, {69973, 52626}
X(72255) = cevapoint of X(68987) and X(69971)
X(72255) = crosspoint of X(i) and X(j) for these (i,j): {81, 739}, {101, 5381}, {898, 5383}
X(72255) = crosssum of X(i) and X(j) for these (i,j): {37, 536}, {514, 1646}, {891, 6377}
X(72255) = trilinear pole of line {69006, 70357}
X(72255) = crossdifference of every pair of points on line {10, 3835}
X(72255) = barycentric product X(i)*X(j) for these {i,j}: {1, 71444}, {6, 71413}, {19, 70390}, {25, 70391}, {31, 62234}, {56, 69974}, {58, 714}, {81, 2229}, {86, 68987}, {100, 69972}, {101, 69973}, {106, 69975}, {190, 69006}, {238, 36817}, {274, 69971}, {310, 70356}, {667, 53366}, {668, 70357}, {1126, 69976}, {2206, 35532}
X(72255) = barycentric quotient X(i)/X(j) for these {i,j}: {58, 18826}, {714, 313}, {2206, 715}, {2229, 321}, {36817, 334}, {53366, 6386}, {62234, 561}, {68987, 10}, {69006, 514}, {69971, 37}, {69972, 693}, {69973, 3261}, {69974, 3596}, {69975, 3264}, {69976, 1269}, {70356, 42}, {70357, 513}, {70390, 304}, {70391, 305}, {71413, 76}, {71444, 75}
X(72255) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {81, 1197, 1206}, {1613, 2162, 31}, {1977, 3231, 238}, {1979, 21788, 902}, {9463, 17126, 40728}, {21001, 23538, 748}

X(72256) = X(6)X(31)∩X(41)X(56836)

X(72256) lies on the cubic K997 and these lines: {6, 31}, {41, 56836}, {81, 2663}, {100, 3510}, {101, 70344}, {171, 40721}, {213, 18756}, {692, 70661}, {750, 37632}, {765, 4600}, {1468, 11364}, {1919, 8655}, {1922, 41333}, {1923, 4251}, {1933, 32739}, {1967, 61385}, {2106, 2664}, {2205, 7122}, {2210, 9455}, {3248, 16693}, {3684, 8622}, {3747, 39252}, {3915, 16476}, {7081, 16998}, {17759, 70666}, {18266, 18267}, {20663, 33854}, {21788, 51331}, {32748, 70034}, {33766, 70143}

X(72256) = isogonal conjugate of the isotomic conjugate of X(2664)
X(72256) = X(i)-Ceva conjugate of X(j) for these (i,j): {1922, 31}, {41333, 18266}, {56837, 21788}
X(72256) = X(51331)-cross conjugate of X(31)
X(72256) = X(i)-isoconjugate of X(j) for these (i,j): {2, 39925}, {75, 2665}, {76, 51333}, {81, 43685}, {274, 54980}, {310, 2107}, {334, 40769}, {350, 63892}, {513, 53216}, {673, 64239}, {693, 53624}, {1921, 63874}, {8937, 51865}, {18891, 70667}
X(72256) = X(i)-Dao conjugate of X(j) for these (i,j): {206, 2665}, {350, 44169}, {27854, 1111}, {32664, 39925}, {39026, 53216}, {39056, 76}, {39057, 6385}, {40586, 43685}
X(72256) = crosspoint of X(i) and X(j) for these (i,j): {765, 34067}, {56388, 56837}
X(72256) = crosssum of X(i) and X(j) for these (i,j): {244, 3766}, {3948, 21020}
X(72256) = crossdifference of every pair of points on line {514, 20888}
X(72256) = barycentric product X(i)*X(j) for these {i,j}: {1, 21788}, {6, 2664}, {10, 56388}, {19, 20796}, {31, 17759}, {32, 52049}, {37, 56837}, {42, 2106}, {58, 21897}, {71, 15148}, {100, 68886}, {101, 68900}, {163, 68902}, {213, 2669}, {291, 51331}, {292, 70666}, {672, 56856}, {692, 68901}, {1911, 39916}, {1914, 40796}, {1918, 40874}, {1922, 39028}, {2205, 41535}, {2206, 58367}, {9454, 64238}, {16514, 40772}, {27854, 34067}, {40742, 71752}
X(72256) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 39925}, {32, 2665}, {42, 43685}, {101, 53216}, {560, 51333}, {1918, 54980}, {1922, 63892}, {2106, 310}, {2205, 2107}, {2223, 64239}, {2664, 76}, {2669, 6385}, {14598, 63874}, {14599, 40769}, {15148, 44129}, {17759, 561}, {18897, 70667}, {20796, 304}, {21788, 75}, {21897, 313}, {32739, 53624}, {39028, 44169}, {39916, 18891}, {40796, 18895}, {51331, 350}, {52049, 1502}, {56388, 86}, {56837, 274}, {56856, 18031}, {68886, 693}, {68900, 3261}, {68901, 40495}, {68902, 20948}, {70666, 1921}
X(72256) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 18900, 31}, {1914, 70658, 31}, {1918, 60697, 31}

X(72257) = X(6)X(31)∩X(10)X(514)

X(72257) lies on these lines: {2, 19979}, {6, 31}, {9, 24488}, {10, 514}, {2225, 9018}, {2876, 23988}, {3006, 70935}, {3936, 71013}, {4766, 35552}, {9016, 20974}, {16828, 19886}, {19952, 19976}, {20930, 30758}, {22308, 61161}, {23646, 24036}, {50501, 67418}, {71758, 71759}

X(72257) = X(14947)-Ceva conjugate of X(37)
X(72257) = crossdifference of every pair of points on line {514, 1914}
X(72257) = X(i)-line conjugate of X(j) for these (i,j): {6, 1914}, {10, 514}
X(72257) = barycentric product X(i)*X(j) for these {i,j}: {10, 24484}, {42, 71759}
X(72257) = barycentric quotient X(i)/X(j) for these {i,j}: {24484, 86}, {71759, 310}

X(72258) = X(6)X(31)∩X(11)X(244)

X(72258) lies on the cubic K215 and these lines: {1, 1025}, {2, 24396}, {6, 31}, {9, 24498}, {11, 244}, {39, 39789}, {103, 1416}, {106, 4845}, {291, 14942}, {497, 71844}, {982, 3663}, {1015, 3022}, {1818, 47048}, {1864, 21936}, {1964, 42447}, {2275, 63601}, {2356, 70620}, {3010, 43039}, {3248, 3270}, {3271, 6139}, {3309, 69022}, {3675, 38363}, {3691, 21704}, {3778, 14100}, {4041, 4530}, {4089, 4905}, {5532, 71106}, {5718, 8255}, {6168, 17597}, {7183, 9303}, {9442, 56783}, {12836, 23497}, {14411, 39014}, {15615, 35505}, {16592, 65525}, {16604, 63603}, {17065, 63597}, {18391, 35046}, {20456, 41339}, {21133, 23761}, {21202, 23811}, {23462, 40155}, {23468, 65751}, {23738, 23766}, {23767, 23771}, {24430, 25343}, {24483, 36278}, {48151, 68924}, {55370, 70371}

X(72258) = isogonal conjugate of X(39293)
X(72258) = X(i)-Ceva conjugate of X(j) for these (i,j): {103, 649}, {291, 650}, {672, 46388}, {1458, 665}, {2195, 663}, {2340, 926}, {3717, 68813}, {9442, 513}, {15634, 20974}, {35355, 21143}, {39293, 14825}, {40451, 38980}, {43672, 661}, {43751, 3250}, {60574, 42462}
X(72258) = X(i)-isoconjugate of X(j) for these (i,j): {1, 39293}, {7, 5377}, {59, 2481}, {100, 927}, {101, 34085}, {105, 4998}, {109, 51560}, {190, 36146}, {241, 57536}, {294, 1275}, {651, 666}, {664, 36086}, {668, 32735}, {673, 4564}, {692, 46135}, {693, 59101}, {765, 56783}, {919, 4554}, {934, 36802}, {1016, 1462}, {1252, 34018}, {1262, 36796}, {1415, 36803}, {1416, 7035}, {1438, 67038}, {1783, 65301}, {1814, 46102}, {2149, 18031}, {4567, 66941}, {4569, 52927}, {4572, 32666}, {4620, 18785}, {4623, 66930}, {6516, 65333}, {7012, 31637}, {7045, 14942}, {28071, 59457}, {31615, 62635}, {35280, 41075}, {36041, 65199}, {43930, 57731}, {44717, 54235}, {55194, 55261}
X(72258) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 39293}, {11, 51560}, {513, 56783}, {650, 18031}, {661, 34018}, {665, 10030}, {676, 35517}, {926, 2340}, {1015, 34085}, {1086, 46135}, {1146, 36803}, {3126, 75}, {3716, 350}, {5519, 65199}, {6184, 67038}, {6615, 2481}, {8054, 927}, {14714, 36802}, {17115, 14942}, {35094, 4572}, {35509, 3261}, {38980, 4554}, {38989, 664}, {38991, 666}, {39006, 65301}, {39014, 190}, {39025, 36086}, {39046, 4998}, {40609, 7035}, {40615, 65847}, {40627, 66941}, {55053, 36146}
X(72258) = crosspoint of X(i) and X(j) for these (i,j): {1, 1024}, {6, 2424}, {7, 60490}, {522, 4876}, {663, 2195}, {665, 1458}, {672, 2254}, {926, 2340}, {3675, 17435}, {3717, 68813}
X(72258) = crosssum of X(i) and X(j) for these (i,j): {1, 1025}, {2, 2398}, {100, 62799}, {109, 1429}, {190, 32850}, {516, 56786}, {651, 7677}, {664, 9436}, {666, 14942}, {672, 46177}, {673, 36086}, {927, 56783}, {1086, 53578}, {1331, 26006}, {1416, 36146}, {2254, 45234}, {9310, 54325}, {20715, 35310}
X(72258) = crossdifference of every pair of points on line {101, 514}
X(72258) = barycentric product X(i)*X(j) for these {i,j}: {1, 17435}, {9, 3675}, {11, 672}, {41, 62429}, {101, 52305}, {103, 1566}, {241, 2310}, {244, 3693}, {513, 68813}, {514, 926}, {516, 56787}, {518, 2170}, {522, 665}, {649, 50333}, {650, 2254}, {652, 68783}, {657, 43042}, {663, 918}, {693, 46388}, {884, 53583}, {1015, 3717}, {1021, 53551}, {1024, 3126}, {1086, 2340}, {1146, 1458}, {1818, 8735}, {1861, 7117}, {1876, 34591}, {2053, 23773}, {2195, 35094}, {2223, 4858}, {2283, 42462}, {2284, 21132}, {2342, 42770}, {2356, 26932}, {3022, 62786}, {3064, 53550}, {3119, 34855}, {3239, 53539}, {3252, 4124}, {3261, 8638}, {3270, 5236}, {3271, 3912}, {3286, 21044}, {3676, 52614}, {3709, 23829}, {3737, 24290}, {3900, 53544}, {3930, 18191}, {4088, 7252}, {4466, 37908}, {4516, 18206}, {4530, 34230}, {4876, 38989}, {5089, 7004}, {6559, 61056}, {9436, 14936}, {9454, 34387}, {14935, 51400}, {14942, 35505}, {15615, 18031}, {15634, 56785}, {17197, 20683}, {23225, 46110}, {23978, 70620}, {24026, 52635}, {34234, 42771}, {38375, 57469}, {40166, 54325}, {42758, 61238}, {46393, 57468}, {47422, 52781}, {51858, 64644}, {52213, 69805}, {52946, 61480}, {53560, 54407}, {54353, 55195}, {63462, 68998}
X(72258) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 39293}, {11, 18031}, {41, 5377}, {244, 34018}, {513, 34085}, {514, 46135}, {518, 67038}, {522, 36803}, {649, 927}, {650, 51560}, {657, 36802}, {663, 666}, {665, 664}, {667, 36146}, {672, 4998}, {918, 4572}, {926, 190}, {1015, 56783}, {1458, 1275}, {1459, 65301}, {1566, 35517}, {1919, 32735}, {1977, 1416}, {2170, 2481}, {2195, 57536}, {2223, 4564}, {2254, 4554}, {2310, 36796}, {2340, 1016}, {2356, 46102}, {3022, 6559}, {3063, 36086}, {3122, 66941}, {3248, 1462}, {3271, 673}, {3286, 4620}, {3675, 85}, {3676, 65847}, {3693, 7035}, {3717, 31625}, {7117, 31637}, {8638, 101}, {9454, 59}, {9455, 2149}, {14936, 14942}, {15615, 672}, {17435, 75}, {21143, 43930}, {23225, 1813}, {23773, 69913}, {32739, 59101}, {35505, 9436}, {38989, 10030}, {39014, 2340}, {39258, 65573}, {42771, 908}, {43042, 46406}, {46388, 100}, {47422, 26006}, {50333, 1978}, {52305, 3261}, {52614, 3699}, {52635, 7045}, {53539, 658}, {53544, 4569}, {53550, 65164}, {53581, 66930}, {54325, 31615}, {54353, 55194}, {56787, 18025}, {61056, 62786}, {62429, 20567}, {66982, 2284}, {68783, 46404}, {68813, 668}, {70620, 1262}

X(72259) = X(6)X(31)∩X(10)X(2140)

X(72259) lies on these lines: {1, 56131}, {2, 22279}, {6, 31}, {8, 22292}, {10, 2140}, {44, 20863}, {75, 3681}, {291, 18792}, {513, 4380}, {517, 22308}, {518, 70996}, {527, 4685}, {758, 62753}, {1018, 2388}, {1575, 22323}, {2238, 18785}, {2275, 41267}, {2350, 16679}, {3293, 12782}, {3688, 24512}, {3952, 20723}, {4037, 20694}, {4441, 22289}, {4553, 30941}, {4705, 9320}, {5369, 69246}, {8299, 9052}, {13576, 20718}, {17751, 22293}, {17792, 24690}, {18082, 24514}, {20011, 71945}, {22297, 22300}, {22299, 22317}, {22325, 24326}, {23398, 69826}, {40521, 68971}, {50257, 64561}, {52020, 60724}, {59315, 69700}

X(72259) = X(2481)-Ceva conjugate of X(37)
X(72259) = X(20683)-Dao conjugate of X(518)
X(72259) = crosssum of X(i) and X(j) for these (i,j): {659, 17761}, {3286, 18166}
X(72259) = crossdifference of every pair of points on line {514, 20963}
X(72259) = barycentric product X(i)*X(j) for these {i,j}: {37, 62872}, {321, 16693}
X(72259) = barycentric quotient X(i)/X(j) for these {i,j}: {16693, 81}, {62872, 274}
X(72259) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {42, 21035, 2276}, {22271, 22327, 4651}, {22292, 22328, 8}

X(72260) = X(1)X(69030)∩X(6)X(31)

X(72260) lies on these lines: {1, 69030}, {2, 23415}, {6, 31}, {8, 23443}, {10, 23530}, {78, 23535}, {100, 20459}, {145, 20460}, {519, 23531}, {649, 4083}, {673, 4607}, {899, 38346}, {1149, 3231}, {1334, 61155}, {1475, 17126}, {1953, 3726}, {1977, 23579}, {1999, 23441}, {2162, 63509}, {2225, 3722}, {2319, 10453}, {2340, 69099}, {3218, 4393}, {3500, 36854}, {3691, 71478}, {3749, 5364}, {3784, 63510}, {3870, 20665}, {3938, 53129}, {3959, 63517}, {4051, 63514}, {4871, 61235}, {7248, 63528}, {9266, 56530}, {9315, 62823}, {9454, 68760}, {17027, 37684}, {18201, 25577}, {20372, 70841}, {20593, 38347}, {20669, 23470}, {21369, 71520}, {22066, 63493}, {23544, 34772}, {24615, 71900}, {32937, 39250}, {39741, 53677}, {41837, 54128}, {49774, 71471}, {61234, 71414}, {63500, 69023}, {63571, 64709}, {68749, 71833}

X(72260) = isogonal conjugate of the isotomic conjugate of X(49774)
X(72260) = crosspoint of X(1) and X(60014)
vcrosssum of X(i) and X(j) for these (i,j): {1, 69030}, {2, 10027}
X(72260) = crossdifference of every pair of points on line {43, 514}
X(72260) = barycentric product X(i)*X(j) for these {i,j}: {6, 49774}, {31, 71473}, {37, 71471}, {42, 71472}
X(72260) = barycentric quotient X(i)/X(j) for these {i,j}: {49774, 76}, {71471, 274}, {71472, 310}, {71473, 561}
X(72260) = {X(902),X(69074)}-harmonic conjugate of X(672)

X(72261) = X(1)X(524)∩X(2)X(4690)

X(72261) lies on these lines: {1, 524}, {2, 4690}, {6, 3879}, {7, 4852}, {8, 4470}, {9, 3629}, {10, 4758}, {31, 70094}, {37, 193}, {42, 24691}, {44, 1992}, {45, 15534}, {69, 1100}, {75, 20016}, {81, 33077}, {86, 17275}, {141, 1449}, {142, 4856}, {144, 4681}, {145, 536}, {190, 17389}, {239, 4675}, {319, 17303}, {320, 4393}, {344, 16669}, {346, 4916}, {391, 4698}, {511, 66684}, {514, 36867}, {518, 50284}, {519, 4363}, {527, 3244}, {538, 66639}, {545, 51093}, {551, 66454}, {583, 22370}, {584, 71075}, {591, 5393}, {597, 17284}, {599, 17023}, {604, 58800}, {732, 66638}, {742, 49490}, {894, 17299}, {966, 28639}, {988, 63928}, {1001, 51196}, {1051, 33174}, {1086, 16834}, {1125, 17251}, {1211, 62808}, {1213, 28640}, {1266, 50120}, {1486, 19588}, {1654, 17394}, {1698, 64712}, {1743, 17243}, {1991, 5405}, {2245, 62853}, {2280, 71081}, {2345, 17372}, {2895, 62801}, {3008, 17313}, {3187, 42045}, {3210, 62230}, {3241, 4419}, {3243, 5845}, {3247, 17332}, {3416, 4649}, {3555, 34377}, {3589, 16667}, {3616, 4708}, {3618, 16668}, {3620, 17384}, {3621, 4747}, {3622, 4748}, {3623, 64015}, {3630, 17045}, {3631, 17306}, {3632, 4665}, {3633, 4659}, {3644, 31300}, {3661, 46922}, {3664, 4361}, {3672, 17345}, {3679, 4472}, {3686, 15668}, {3723, 11008}, {3729, 7277}, {3739, 3945}, {3751, 24358}, {3752, 63057}, {3758, 6542}, {3759, 17278}, {3764, 69082}, {3765, 30939}, {3772, 17778}, {3780, 69053}, {3834, 5222}, {3873, 25048}, {3874, 69037}, {3875, 4910}, {3888, 71711}, {3943, 29605}, {3946, 7232}, {3966, 62821}, {4000, 17376}, {4001, 20182}, {4007, 7227}, {4021, 17255}, {4062, 62846}, {4098, 61000}, {4277, 37596}, {4307, 28581}, {4344, 49467}, {4357, 16884}, {4360, 17276}, {4371, 4739}, {4384, 4969}, {4389, 29584}, {4395, 6173}, {4396, 17721}, {4399, 25590}, {4405, 49733}, {4410, 4441}, {4416, 6144}, {4422, 8584}, {4445, 5750}, {4465, 72163}, {4478, 59772}, {4480, 50110}, {4503, 16971}, {4648, 17348}, {4658, 5814}, {4664, 20072}, {4677, 10022}, {4684, 38315}, {4687, 62989}, {4700, 29571}, {4702, 50303}, {4713, 42057}, {4726, 7222}, {4727, 50107}, {4741, 17320}, {4755, 29624}, {4760, 62795}, {4796, 20050}, {4869, 17356}, {4873, 49726}, {4887, 50109}, {4888, 7263}, {4889, 17314}, {4896, 49543}, {4909, 5257}, {4938, 72002}, {4966, 16475}, {4967, 62224}, {4980, 20046}, {4982, 17290}, {5032, 29583}, {5035, 69024}, {5220, 64073}, {5224, 29609}, {5232, 25498}, {5266, 7758}, {5271, 37631}, {5308, 37654}, {5739, 37595}, {5749, 17229}, {5846, 68588}, {5858, 53588}, {5859, 53589}, {5880, 49488}, {6238, 64887}, {6604, 6610}, {6646, 17393}, {6687, 29627}, {7228, 17151}, {7238, 50112}, {7837, 69269}, {8667, 24239}, {9025, 64751}, {9038, 56542}, {9055, 49498}, {9766, 66632}, {10436, 17362}, {11160, 41311}, {12559, 69585}, {12618, 68584}, {13161, 63932}, {14023, 37592}, {14614, 69276}, {15492, 63061}, {15533, 17325}, {16671, 26685}, {16672, 50093}, {16706, 17375}, {16814, 62996}, {16826, 17346}, {16831, 17330}, {16832, 49738}, {16833, 34824}, {17014, 17382}, {17018, 24690}, {17027, 30997}, {17119, 49770}, {17120, 17233}, {17121, 17234}, {17135, 50257}, {17160, 50128}, {17228, 63053}, {17230, 63108}, {17235, 21296}, {17239, 32099}, {17241, 63051}, {17244, 68966}, {17250, 29586}, {17256, 29570}, {17263, 63050}, {17264, 71635}, {17269, 49765}, {17270, 17398}, {17271, 17397}, {17273, 17396}, {17274, 17395}, {17277, 17391}, {17280, 17386}, {17282, 69557}, {17286, 69556}, {17287, 17381}, {17288, 17380}, {17289, 17373}, {17294, 17369}, {17295, 17368}, {17297, 17367}, {17298, 17366}, {17302, 17361}, {17309, 17355}, {17310, 17354}, {17312, 17352}, {17315, 17350}, {17317, 17349}, {17319, 17347}, {17321, 17344}, {17322, 17343}, {17323, 53598}, {17335, 29569}, {17357, 51171}, {17359, 29616}, {17720, 31034}, {17723, 32919}, {17728, 71919}, {17769, 72096}, {17770, 50281}, {17790, 24524}, {18156, 42713}, {20017, 50048}, {20086, 28606}, {21904, 30962}, {24280, 49461}, {24330, 72164}, {24357, 49478}, {24424, 35102}, {24441, 51071}, {24693, 50018}, {24695, 49462}, {24699, 49477}, {24789, 63056}, {25055, 25358}, {25349, 42042}, {25350, 42043}, {25351, 49489}, {25355, 66469}, {25378, 32843}, {25384, 49450}, {25386, 25694}, {26339, 30413}, {26340, 30412}, {28309, 34747}, {28538, 36479}, {28570, 64168}, {29069, 37727}, {29311, 66664}, {29353, 66665}, {29579, 59373}, {29594, 61344}, {29596, 47352}, {29603, 61302}, {29606, 60986}, {29611, 50081}, {29612, 31144}, {29621, 63086}, {29639, 47037}, {29660, 38023}, {31330, 49749}, {32004, 40882}, {32777, 37685}, {32779, 63039}, {32846, 38047}, {32847, 47359}, {32859, 50068}, {32921, 53601}, {33066, 58820}, {33087, 69632}, {33157, 63095}, {34371, 34791}, {34380, 46475}, {34511, 37589}, {37516, 67978}, {37792, 69278}, {39704, 40891}, {41004, 68840}, {41316, 59519}, {41847, 50077}, {42334, 43997}, {42697, 50129}, {42871, 49684}, {44307, 63009}, {44417, 63007}, {48805, 49763}, {48818, 63944}, {48819, 63939}, {49463, 64903}, {49470, 64016}, {49476, 64070}, {49486, 50307}, {49495, 72228}, {49497, 70956}, {49678, 72036}, {49687, 50070}, {49737, 63115}, {49761, 50087}, {49764, 50300}, {49768, 51005}, {49771, 51000}, {50015, 51055}, {50016, 50301}, {50082, 63110}, {50180, 59312}, {50302, 71333}, {52897, 71952}, {53478, 58787}, {57039, 63493}, {59583, 62820}, {62822, 70781}, {62845, 71937}, {63014, 70264}, {63940, 66675}, {63941, 66672}, {70794, 70997}

X(72261) = midpoint of X(i) and X(j) for these {i,j}: {145, 4644}, {3633, 4659}
X(72261) = reflection of X(i) in X(j) for these {i,j}: {8, 4670}, {3632, 4665}, {4363, 4667}, {4643, 1}, {4677, 10022}, {17318, 3244}, {24357, 49478}, {24441, 51071}, {49450, 25384}, {66454, 551}
X(72261) = anticomplement of X(4690)
X(72261) = crossdifference of every pair of points on line {9313, 58173}
X(72261) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4643, 41312}, {6, 3879, 4851}, {6, 4851, 17279}, {6, 17311, 17353}, {8, 63054, 4670}, {44, 17316, 41313}, {44, 50125, 17316}, {69, 1100, 4657}, {69, 26626, 17237}, {86, 17363, 17275}, {193, 29585, 54280}, {239, 17378, 4675}, {319, 17379, 17303}, {320, 4393, 17301}, {344, 51170, 16669}, {599, 62212, 17023}, {894, 17377, 17299}, {1100, 17237, 26626}, {1992, 17316, 44}, {1992, 50125, 41313}, {3629, 17390, 9}, {3630, 17045, 17272}, {3758, 6542, 17281}, {3758, 50132, 6542}, {3759, 17300, 17278}, {3834, 50124, 5222}, and many others

X(72262) = X(1)X(597)∩X(2)X(44)

X(72262) lies on these lines: {1, 597}, {2, 44}, {6, 3879}, {7, 17356}, {8, 17359}, {9, 3589}, {10, 50300}, {31, 68879}, {37, 3618}, {43, 4749}, {45, 17023}, {58, 30906}, {69, 16669}, {75, 29590}, {86, 17338}, {141, 1743}, {144, 17235}, {145, 50124}, {190, 17301}, {193, 16671}, {238, 29659}, {239, 17281}, {319, 17358}, {344, 1100}, {346, 4852}, {391, 17239}, {519, 17269}, {524, 16670}, {527, 17290}, {536, 5222}, {583, 21371}, {599, 29596}, {894, 17278}, {899, 70514}, {966, 17385}, {1086, 50127}, {1125, 5220}, {1266, 49721}, {1268, 14621}, {1279, 59406}, {1449, 6329}, {1475, 24652}, {1654, 17371}, {1698, 49731}, {1724, 19867}, {1836, 29850}, {1992, 17374}, {2221, 4383}, {2245, 56507}, {2276, 70682}, {2295, 24735}, {2321, 50019}, {2325, 17318}, {2345, 17348}, {2999, 44416}, {3008, 4363}, {3161, 4681}, {3246, 36479}, {3416, 16468}, {3616, 4755}, {3619, 17344}, {3621, 50084}, {3629, 17296}, {3632, 50097}, {3661, 68966}, {3664, 17265}, {3686, 17293}, {3707, 17251}, {3717, 38315}, {3729, 17366}, {3731, 17045}, {3739, 4470}, {3751, 72219}, {3752, 26065}, {3759, 17280}, {3763, 4416}, {3765, 70854}, {3772, 27064}, {3823, 4307}, {3875, 17340}, {3932, 16475}, {3943, 16834}, {3946, 17262}, {3966, 26061}, {3973, 17306}, {3975, 60861}, {4000, 4373}, {4034, 48636}, {4096, 29842}, {4253, 58452}, {4273, 16050}, {4346, 4912}, {4357, 16885}, {4360, 17339}, {4361, 17355}, {4370, 17395}, {4384, 17369}, {4389, 29630}, {4393, 17264}, {4395, 4659}, {4402, 4726}, {4419, 17382}, {4429, 64016}, {4432, 50287}, {4472, 16832}, {4473, 4664}, {4480, 49747}, {4665, 16833}, {4667, 17313}, {4668, 61343}, {4672, 5880}, {4679, 25378}, {4687, 29592}, {4690, 29611}, {4698, 18230}, {4700, 29594}, {4702, 50282}, {4722, 29677}, {4725, 29616}, {4727, 50129}, {4739, 7229}, {4753, 50311}, {4758, 6666}, {4763, 71099}, {4859, 7228}, {4863, 72198}, {4873, 4971}, {4898, 59774}, {4899, 67538}, {4901, 51147}, {4910, 17314}, {4969, 17294}, {5050, 66684}, {5223, 71322}, {5296, 25498}, {5750, 17259}, {5839, 17229}, {5846, 16469}, {6173, 40480}, {6211, 38035}, {6542, 17342}, {6646, 17370}, {6703, 7308}, {7277, 17298}, {7290, 49524}, {7792, 36405}, {8257, 36949}, {10436, 17337}, {12618, 68539}, {14997, 32779}, {15492, 17257}, {16477, 29674}, {16549, 53391}, {16666, 17316}, {16667, 17390}, {16668, 63123}, {16706, 17276}, {16777, 25101}, {16814, 17321}, {17026, 71491}, {17119, 41140}, {17120, 17234}, {17121, 17233}, {17228, 62989}, {17230, 50076}, {17241, 20090}, {17244, 46922}, {17246, 25728}, {17255, 60942}, {17258, 17383}, {17260, 17381}, {17261, 17380}, {17263, 17379}, {17266, 17378}, {17268, 17377}, {17271, 29613}, {17272, 34573}, {17275, 17289}, {17282, 17365}, {17283, 17364}, {17285, 17363}, {17286, 17362}, {17291, 17347}, {17292, 17346}, {17297, 29629}, {17300, 17341}, {17302, 17336}, {17304, 17334}, {17305, 17333}, {17307, 17331}, {17308, 17330}, {17317, 37677}, {17325, 50093}, {17327, 63978}, {17360, 29587}, {17376, 53665}, {17387, 63052}, {17450, 72034}, {17469, 30615}, {17720, 30566}, {17721, 33114}, {17723, 33115}, {17745, 25497}, {17750, 71952}, {19586, 70717}, {19786, 70742}, {24358, 36404}, {24510, 70730}, {24514, 30997}, {24597, 30818}, {24703, 25453}, {24759, 69245}, {24789, 26223}, {25066, 69209}, {25067, 26668}, {25352, 50302}, {25445, 25651}, {25992, 54421}, {26128, 71515}, {26251, 72203}, {27013, 62619}, {27191, 50128}, {27268, 31314}, {29572, 63108}, {29573, 63124}, {29574, 51185}, {29583, 50125}, {29586, 51488}, {29597, 61302}, {29608, 31144}, {29627, 63054}, {29660, 47358}, {29673, 71499}, {29835, 72022}, {29852, 32938}, {30567, 61661}, {31183, 34824}, {31189, 35578}, {31264, 72227}, {31300, 48629}, {32777, 32911}, {32847, 47356}, {32935, 53601}, {33118, 70481}, {33121, 70485}, {33157, 63074}, {33165, 49681}, {33882, 69024}, {36477, 61528}, {36478, 50296}, {37662, 56519}, {38110, 46475}, {41269, 70092}, {41311, 63109}, {45327, 62329}, {46899, 69536}, {48631, 60933}, {48805, 49772}, {49490, 72030}, {49762, 51000}, {49764, 50283}, {49766, 51005}, {49768, 64165}, {49770, 50087}, {50023, 50313}, {50081, 63086}, {50095, 61321}, {62812, 72001}, {62867, 72032}, {63969, 71327}, {70513, 71279}, {71102, 72017}

X(72262) = midpoint of X(i) and X(j) for these {i,j}: {5222, 54389}, {16670, 17284}
X(72262) = reflection of X(17290) in X(31191)
X(72262) = crossdifference of every pair of points on line {4775, 9313}
X(72262) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4422, 41313}, {2, 44, 4643}, {2, 3758, 4675}, {2, 4644, 3834}, {2, 20072, 17227}, {2, 54280, 17237}, {2, 61330, 4644}, {2, 71635, 320}, {6, 17267, 3879}, {6, 17279, 4851}, {6, 17353, 17279}, {9, 3589, 4657}, {9, 29598, 4364}, {44, 17237, 54280}, {45, 17023, 41312}, {45, 47352, 17023}, {190, 17367, 17301}, {239, 17354, 17281}, {344, 51171, 1100}, {597, 4422, 1}, {894, 17352, 17278}, {1992, 29579, 17374}, {2325, 50114, 17318}, {2345, 17348, 28634}, and many others

X(72263) = X(1)X(193)∩X(2)X(16667)

X(72263) lies on these lines: {1, 193}, {2, 16667}, {6, 3879}, {7, 16834}, {8, 4349}, {9, 1992}, {10, 17363}, {37, 3629}, {44, 17390}, {57, 65055}, {69, 1449}, {75, 4667}, {81, 3687}, {86, 3686}, {141, 16666}, {142, 3759}, {144, 3241}, {145, 3729}, {192, 3244}, {239, 3664}, {306, 37685}, {319, 5750}, {320, 3946}, {330, 50577}, {344, 16670}, {346, 29605}, {385, 24239}, {391, 16831}, {519, 894}, {524, 1100}, {527, 4360}, {536, 4464}, {551, 17248}, {553, 62230}, {573, 62853}, {594, 4725}, {597, 17231}, {664, 52819}, {750, 5212}, {950, 56020}, {966, 28641}, {984, 64073}, {1051, 33085}, {1125, 1654}, {1266, 4852}, {1386, 4684}, {1419, 6604}, {1738, 49489}, {1743, 17316}, {1785, 27377}, {2260, 3882}, {2269, 18206}, {2321, 3758}, {2323, 41610}, {2325, 17315}, {2895, 69544}, {2999, 63057}, {3008, 17121}, {3180, 53589}, {3181, 53588}, {3210, 62240}, {3243, 51190}, {3247, 54280}, {3271, 64546}, {3555, 43216}, {3589, 16668}, {3616, 63001}, {3618, 17296}, {3620, 29598}, {3621, 7229}, {3625, 48628}, {3626, 28604}, {3630, 17237}, {3631, 17384}, {3635, 17319}, {3661, 37677}, {3662, 50114}, {3663, 4393}, {3685, 64017}, {3707, 4687}, {3717, 4663}, {3723, 17332}, {3731, 29585}, {3739, 4969}, {3741, 40721}, {3751, 4899}, {3793, 37599}, {3834, 69557}, {3875, 4644}, {3883, 67964}, {3911, 71913}, {3943, 4889}, {3945, 4384}, {3950, 17350}, {3973, 29602}, {3982, 19796}, {3986, 17331}, {4001, 17011}, {4021, 6646}, {4028, 62841}, {4029, 17336}, {4044, 34283}, {4058, 20055}, {4061, 70484}, {4251, 71075}, {4253, 22370}, {4263, 37596}, {4307, 49495}, {4344, 49451}, {4361, 50116}, {4398, 50109}, {4422, 16671}, {4454, 4460}, {4461, 20050}, {4643, 6144}, {4649, 5847}, {4656, 58820}, {4657, 40341}, {4664, 60942}, {4670, 4967}, {4690, 17398}, {4700, 17277}, {4715, 17246}, {4726, 4796}, {4741, 17396}, {4745, 43985}, {4747, 32087}, {4758, 28653}, {4795, 17118}, {4886, 42028}, {4896, 48627}, {4909, 16826}, {4916, 54389}, {4991, 49676}, {5032, 26685}, {5042, 69024}, {5121, 16997}, {5222, 17298}, {5232, 29603}, {5242, 37785}, {5243, 37786}, {5249, 42045}, {5257, 17346}, {5287, 63009}, {5296, 29597}, {5308, 62985}, {5393, 62987}, {5405, 62986}, {5717, 56018}, {5739, 62808}, {5745, 41629}, {5749, 17294}, {5839, 10436}, {6329, 17357}, {6351, 26340}, {6352, 26339}, {6542, 17120}, {6629, 38814}, {6666, 17317}, {6685, 69265}, {7227, 28337}, {7762, 13161}, {7766, 69276}, {7774, 66632}, {8584, 16669}, {9025, 52020}, {9038, 56537}, {9308, 56814}, {10452, 15983}, {11008, 17321}, {11477, 66684}, {11679, 63007}, {15534, 16777}, {16673, 63027}, {16998, 71925}, {17000, 71921}, {17001, 71919}, {17002, 29639}, {17014, 17304}, {17022, 63037}, {17116, 20016}, {17117, 50019}, {17132, 31300}, {17151, 50119}, {17184, 50256}, {17229, 69556}, {17232, 31191}, {17233, 50115}, {17242, 59579}, {17244, 63050}, {17252, 29586}, {17260, 63049}, {17261, 29588}, {17262, 50110}, {17270, 63055}, {17272, 20080}, {17280, 49765}, {17284, 51171}, {17287, 29604}, {17293, 50076}, {17302, 53598}, {17308, 32099}, {17312, 62398}, {17314, 50127}, {17330, 28639}, {17333, 51071}, {17338, 29600}, {17343, 17397}, {17345, 17395}, {17347, 17393}, {17348, 17392}, {17349, 17391}, {17351, 17388}, {17352, 17387}, {17354, 17386}, {17360, 17381}, {17361, 17380}, {17366, 17376}, {17367, 17375}, {17368, 17373}, {17369, 17372}, {17499, 35633}, {17760, 32451}, {17763, 61652}, {17778, 40940}, {18230, 63086}, {20180, 53602}, {20228, 37676}, {20583, 41310}, {20963, 28369}, {21764, 70091}, {22253, 66639}, {23659, 69082}, {24231, 49477}, {24514, 42057}, {25072, 29569}, {25498, 61302}, {25935, 63088}, {26223, 50292}, {26723, 63056}, {27644, 29968}, {28287, 45751}, {28365, 30063}, {29579, 63123}, {29583, 63122}, {29674, 59408}, {29833, 63071}, {30867, 39595}, {32852, 39597}, {32858, 63095}, {33077, 63039}, {33087, 38049}, {33112, 50758}, {33682, 71333}, {34231, 56013}, {34282, 70462}, {37756, 60980}, {37869, 49724}, {40942, 66450}, {40950, 56014}, {41572, 68344}, {42871, 47356}, {45206, 56439}, {45420, 66635}, {45421, 66636}, {49466, 51192}, {49471, 49514}, {49478, 49516}, {49479, 50017}, {49481, 50026}, {49482, 49763}, {49488, 50307}, {49490, 49496}, {49527, 64070}, {49529, 49762}, {49535, 71502}, {49543, 50128}, {49681, 64165}, {49685, 49772}, {49740, 51155}, {50022, 71991}, {50101, 60933}, {51093, 55998}, {51194, 64702}, {54357, 71916}, {58787, 70500}, {58800, 62774}, {59491, 71914}, {62779, 63782}, {63504, 71083}, {64174, 71934}

X(72263) = reflection of X(i) in X(j) for these {i,j}: {319, 5750}, {4357, 1100}, {4431, 894}, {6646, 4021}, {17344, 17045}
X(72263) = crossdifference of every pair of points on line {9313, 58172}
X(72263) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 193, 4416}, {6, 3879, 3912}, {6, 4851, 17353}, {69, 1449, 17023}, {86, 3686, 24603}, {86, 62231, 3686}, {142, 3759, 41140}, {239, 3664, 24199}, {239, 20090, 3664}, {319, 46922, 5750}, {344, 62995, 16670}, {1100, 17344, 17045}, {1743, 17316, 25101}, {1992, 66637, 29574}, {2321, 17377, 49761}, {3618, 17296, 29596}, {3664, 4856, 239}, {3751, 49476, 4899}, {3751, 50284, 49476}, {3758, 17377, 2321}, {3759, 17378, 142}, {3879, 17353, 4851},and many others

X(72264) = X(1)X(6329)∩X(2)X(16669)

X(72264) lies on these lines: {1, 6329}, {2, 16669}, {6, 3879}, {9, 597}, {37, 51171}, {44, 3618}, {69, 16671}, {141, 16670}, {142, 4795}, {144, 17382}, {193, 17357}, {344, 16666}, {391, 17385}, {536, 32105}, {575, 66684}, {1001, 59408}, {1100, 26685}, {1449, 4422}, {1743, 3589}, {1992, 17231}, {3416, 16477}, {3629, 17284}, {3686, 61344}, {3707, 17327}, {3729, 69557}, {3739, 37681}, {3758, 17278}, {3759, 17281}, {3943, 4910}, {3973, 4364}, {4000, 61330}, {4271, 56507}, {4357, 47352}, {4361, 50115}, {4384, 69556}, {4416, 47355}, {4445, 4700}, {4473, 17393}, {4644, 17356}, {4648, 6687}, {4667, 17265}, {4670, 37650}, {4675, 17120}, {4681, 17014}, {4690, 62985}, {4698, 28641}, {4739, 24599}, {4796, 31189}, {4798, 17259}, {4852, 54389}, {4856, 17309}, {4888, 40480}, {4952, 17469}, {4969, 17286}, {5220, 38049}, {5222, 17351}, {5749, 17348}, {5839, 17359}, {7227, 16833}, {7232, 31191}, {7277, 17282}, {15492, 17321}, {16468, 33076}, {16469, 49524}, {16493, 50629}, {16667, 17243}, {16668, 17316}, {16706, 71635}, {16777, 51185}, {16814, 26626}, {16834, 17340}, {16884, 25101}, {16885, 17023}, {17118, 41140}, {17121, 17299}, {17151, 49726}, {17228, 63049}, {17233, 50131}, {17237, 63119}, {17239, 37654}, {17241, 63052}, {17262, 50114}, {17263, 37677}, {17272, 51126}, {17275, 17368}, {17276, 17367}, {17285, 50076}, {17289, 63050}, {17296, 32455}, {17301, 17350}, {17303, 17349}, {17314, 50124}, {17317, 63108}, {17318, 59579}, {17323, 60942}, {17332, 29598}, {17335, 63053}, {17338, 46922}, {17341, 20090}, {17347, 29630}, {17358, 62231}, {17366, 50127}, {17369, 28634}, {17370, 20072}, {17371, 62989}, {17374, 51170}, {17384, 54280}, {17395, 25728}, {17720, 41241}, {18230, 28639}, {24441, 61000}, {25445, 25658}, {26039, 28633}, {29579, 62995}, {29596, 40341}, {29831, 72083}, {29838, 72081}, {30818, 63067}, {32777, 63074}, {33159, 67964}, {33165, 47356}, {41310, 63127}, {46475, 51732}, {49741, 60977}, {49770, 53664}, {50112, 55998}, {50125, 66763}

X(72264) = crossdifference of every pair of points on line {9313, 58165}
X(72264) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 17353, 4851}, {44, 3618, 4657}, {344, 63123, 16666}, {1100, 26685, 41313}, {1743, 3589, 4643}, {3758, 63051, 17278}, {4000, 61330, 71638}, {4851, 17353, 17279}, {17120, 17352, 4675}, {17121, 17354, 17299}, {17243, 63124, 16667}, {17316, 63011, 16668}, {17368, 68966, 17275}, {26685, 59373, 1100}

X(72265) = X(6)X(31)∩X(58)X(86)

X(72265) lies on these lines: {6, 31}, {37, 20985}, {44, 20964}, {58, 86}, {75, 16476}, {81, 45223}, {171, 17277}, {213, 1964}, {333, 70406}, {560, 5019}, {579, 3764}, {583, 3778}, {595, 4649}, {602, 37474}, {748, 15668}, {750, 17259}, {869, 3941}, {872, 2223}, {894, 71139}, {1001, 1468}, {1045, 71673}, {1100, 3747}, {1193, 3286}, {1203, 3736}, {1269, 17031}, {1333, 2210}, {1397, 44120}, {1400, 70620}, {1475, 40934}, {1724, 16828}, {1740, 2228}, {1911, 28615}, {1923, 23660}, {2175, 5042}, {2239, 3589}, {2245, 23659}, {2260, 3122}, {2274, 16466}, {2300, 3248}, {2667, 20963}, {3009, 16679}, {3271, 40954}, {3691, 21699}, {3720, 18166}, {3725, 40956}, {3741, 29767}, {3750, 40433}, {3840, 29746}, {4022, 18206}, {4279, 16477}, {4418, 20174}, {4432, 67024}, {5021, 7083}, {5035, 7122}, {5247, 5263}, {5255, 71934}, {5750, 69550}, {7175, 55086}, {9426, 23467}, {16685, 63504}, {16690, 17127}, {16946, 40732}, {17126, 17349}, {17350, 71415}, {18170, 62813}, {18805, 20234}, {19580, 70680}, {20147, 70911}, {20179, 33760}, {21257, 29453}, {21384, 70556}, {21741, 51657}, {21753, 22369}, {21760, 70346}, {23566, 69977}, {23868, 33863}, {24471, 51329}, {26963, 70720}, {27145, 70483}, {27164, 32772}, {27623, 27627}, {27644, 39673}, {29437, 72207}, {30652, 63050}, {30653, 37677}, {33766, 56837}, {34830, 41011}, {37129, 57399}, {37610, 49497}, {37686, 71629}, {39798, 70738}, {40749, 71672}, {44421, 70560}, {46922, 71464}, {49988, 69497}, {65096, 71647}, {69008, 72206}, {69067, 71204}, {69204, 69216}

X(72265) = isogonal conjugate of the isotomic conjugate of X(3720)
X(72265) = isogonal conjugate of the polar conjugate of X(40975)
X(72265) = X(i)-Ceva conjugate of X(j) for these (i,j): {58, 70143}, {662, 1919}, {43076, 649}, {69826, 667}, {70143, 20963}
X(72265) = X(21753)-cross conjugate of X(20963)
X(72265) = X(i)-isoconjugate of X(j) for these (i,j): {2, 32009}, {7, 72047}, {10, 40439}, {75, 40433}, {76, 57397}, {86, 72048}, {190, 72049}, {321, 40408}, {594, 59147}, {668, 50520}, {693, 8708}
X(72265) = X(i)-Dao conjugate of X(j) for these (i,j): {206, 40433}, {3121, 1577}, {3739, 313}, {16589, 561}, {21753, 40006}, {32664, 32009}, {40600, 72048}, {55053, 72049}, {62646, 76}
X(72265) = crosspoint of X(i) and X(j) for these (i,j): {31, 58}, {3720, 40975}
X(72265) = crosssum of X(i) and X(j) for these (i,j): {2, 4651}, {10, 75}, {244, 47917}, {32009, 72047}
X(72265) = crossdifference of every pair of points on line {514, 4079}
X(72265) = barycentric product X(i)*X(j) for these {i,j}: {1, 20963}, {3, 40975}, {6, 3720}, {19, 22060}, {27, 22369}, {31, 3739}, {32, 20888}, {37, 70143}, {41, 4059}, {42, 18166}, {56, 3691}, {58, 16589}, {81, 2667}, {86, 21753}, {100, 68881}, {101, 6372}, {163, 48393}, {213, 17175}, {284, 39793}, {513, 70144}, {593, 21699}, {604, 3706}, {649, 4436}, {662, 50497}, {667, 70145}, {692, 47672}, {757, 21820}, {849, 52579}, {904, 4754}, {923, 70155}, {1333, 21020}, {1412, 4111}, {1415, 48264}, {1918, 16748}, {1919, 53363}, {1964, 18089}, {1973, 70154}, {2206, 53478}, {3733, 61163}, {4556, 50538}, {4891, 38266}
X(72265) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 32009}, {32, 40433}, {41, 72047}, {213, 72048}, {560, 57397}, {667, 72049}, {849, 59147}, {1333, 40439}, {1919, 50520}, {2206, 40408}, {2667, 321}, {3691, 3596}, {3706, 28659}, {3720, 76}, {3739, 561}, {4059, 20567}, {4111, 30713}, {4436, 1978}, {6372, 3261}, {16589, 313}, {17175, 6385}, {18089, 18833}, {18166, 310}, {20888, 1502}, {20963, 75}, {21020, 27801}, {21699, 28654}, {21753, 10}, {21820, 1089}, {22060, 304}, {22369, 306}, {29773, 40088}, {32739, 8708}, {39793, 349}, {40975, 264}, {47672, 40495}, {48393, 20948}, {50497, 1577}, {50538, 52623}, {61163, 27808}, {68881, 693}, {70143, 274}, {70144, 668}, {70145, 6386}, {70154, 40364}
X(72265) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 31, 1918}, {6, 8053, 42}, {6, 20992, 70815}, {6, 36635, 71872}, {31, 60697, 70658}, {58, 51330, 757}, {583, 4749, 3778}, {2260, 71279, 3122}, {2308, 2309, 6}, {5019, 60722, 560}, {16466, 37507, 2274}, {17127, 17379, 16690}

X(72266) = X(6)X(23375)∩X(31)X(32)

X(72266) lies on these lines: {6, 23375}, {31, 32}, {44, 765}, {55, 69511}, {100, 59052}, {110, 56388}, {669, 688}, {752, 2240}, {896, 8624}, {902, 41333}, {1107, 1621}, {1646, 62739}, {1977, 9454}, {2242, 62846}, {3230, 62740}, {4386, 72017}, {4426, 72203}, {5035, 60697}, {8616, 16552}, {8620, 53280}, {14599, 32739}, {18613, 63508}, {20669, 69836}, {21760, 69826}, {32911, 51319}, {69243, 71912}

X(72266) = isogonal conjugate of the isotomic conjugate of X(3230)
X(72266) = X(32718)-Ceva conjugate of X(1980)
X(72266) = X(i)-isoconjugate of X(j) for these (i,j): {2, 31002}, {75, 3227}, {76, 37129}, {85, 36798}, {86, 60288}, {274, 41683}, {514, 889}, {561, 739}, {649, 57994}, {668, 62619}, {670, 69478}, {693, 4607}, {799, 35353}, {898, 3261}, {1111, 5381}, {1978, 43928}, {4572, 69481}, {4609, 69480}, {6331, 69483}, {6381, 57542}, {6385, 62763}, {6386, 23892}, {18031, 64612}, {19945, 57572}, {20568, 36872}, {33805, 52754}, {34075, 40495}, {37133, 69482}, {46277, 52757}, {57995, 69479}
X(72266) = X(i)-Dao conjugate of X(j) for these (i,j): {206, 3227}, {5375, 57994}, {13466, 1502}, {14434, 23989}, {32664, 31002}, {38996, 35353}, {39011, 40495}, {40368, 739}, {40600, 60288}, {40614, 561}, {52875, 27801}, {52882, 1928}=
X(72266) = crosspoint of X(1252) and X(32718)
X(72266) = crosssum of X(i) and X(j) for these (i,j): {2, 69028}, {76, 35543}, {693, 52626}
X(72266) = crossdifference of every pair of points on line {76, 693}
X(72266) = barycentric product X(i)*X(j) for these {i,j}: {6, 3230}, {31, 899}, {32, 536}, {41, 52896}, {42, 62740}, {55, 62739}, {100, 890}, {101, 3768}, {110, 14404}, {213, 52897}, {228, 52890}, {560, 6381}, {649, 68825}, {667, 23343}, {692, 891}, {739, 59797}, {1110, 19945}, {1252, 1646}, {1333, 52959}, {1397, 4009}, {1415, 4526}, {1501, 35543}, {1576, 14431}, {1918, 62755}, {1919, 23891}, {1922, 4465}, {1980, 41314}, {2175, 43037}, {2205, 70146}, {2206, 3994}, {2209, 71434}, {2223, 52902}, {2251, 52900}, {3063, 69658}, {4728, 32739}, {9447, 69660}, {9454, 36816}, {9459, 52755}, {14434, 32718}, {14437, 32665}, {23990, 52626}, {30583, 32719}, {33917, 57731}, {34075, 68134}, {34858, 61672}
X(72266) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 31002}, {32, 3227}, {100, 57994}, {213, 60288}, {536, 1502}, {560, 37129}, {669, 35353}, {692, 889}, {890, 693}, {891, 40495}, {899, 561}, {1501, 739}, {1646, 23989}, {1918, 41683}, {1919, 62619}, {1924, 69478}, {1980, 43928}, {2175, 36798}, {3230, 76}, {3768, 3261}, {4009, 40363}, {4465, 44169}, {6381, 1928}, {8630, 69482}, {9407, 52754}, {9455, 64612}, {9459, 36872}, {14404, 850}, {14431, 44173}, {14567, 52757}, {23343, 6386}, {23990, 5381}, {32739, 4607}, {35543, 40362}, {43037, 41283}, {52890, 57796}, {52896, 20567}, {52897, 6385}, {52959, 27801}, {59797, 35543}, {62739, 6063}, {62740, 310}, {68825, 1978}
X(72266) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 62420, 2205}, {70658, 70661, 9455}

X(72267) = X(31)X(32)∩X(58)X(1206)

X(72267) lies on these lines: {31, 32}, {58, 1206}, {81, 593}, {171, 71398}, {172, 1621}, {312, 39257}, {609, 8616}, {727, 787}, {739, 59102}, {1613, 8620}, {1918, 3051}, {2206, 14599}, {2220, 60697}, {2240, 6679}, {2241, 62821}, {2242, 62849}, {2280, 5019}, {2308, 41333}, {2352, 30647}, {3121, 40956}, {3286, 23632}, {3739, 18089}, {4386, 5278}, {4426, 71979}, {5291, 32945}, {5301, 63099}, {7031, 62841}, {7109, 9454}, {8624, 17469}, {10458, 70975}, {20963, 22060}, {21753, 22369}, {33774, 56388}, {36808, 69231}, {39673, 69068}, {69243, 71936}

X(72267) = isogonal conjugate of the isotomic conjugate of X(20963)
X(72267) = X(110)-Ceva conjugate of X(1980)
X(72267) = X(i)-isoconjugate of X(j) for these (i,j): {75, 32009}, {76, 40433}, {85, 72047}, {274, 72048}, {313, 40408}, {321, 40439}, {561, 57397}, {668, 72049}, {1089, 59147}, {1978, 50520}, {3261, 8708}
X(72267) = X(i)-Dao conjugate of X(j) for these (i,j): {206, 32009}, {3121, 850}, {3739, 27801}, {16589, 1502}, {40368, 57397}, {62646, 561}
X(72267) = crosspoint of X(32) and X(1333)
X(72267) = crosssum of X(i) and X(j) for these (i,j): {37, 64581}, {75, 4043}, {76, 321}
X(72267) = crossdifference of every pair of points on line {693, 4705}
X(72267) = barycentric product X(i)*X(j) for these {i,j}: {6, 20963}, {25, 22060}, {28, 22369}, {31, 3720}, {32, 3739}, {42, 70143}, {48, 40975}, {58, 2667}, {81, 21753}, {101, 68881}, {110, 50497}, {213, 18166}, {560, 20888}, {593, 21820}, {604, 3691}, {649, 70144}, {667, 4436}, {692, 6372}, {849, 21699}, {1333, 16589}, {1397, 3706}, {1408, 4111}, {1576, 48393}, {1918, 17175}, {1919, 70145}, {1974, 70154}, {1980, 53363}, {2175, 4059}, {2194, 39793}, {2205, 16748}, {2206, 21020}, {3051, 18089}, {4754, 7104}, {32739, 47672}, {32740, 70155}, {57129, 61163}
X(72267) = barycentric quotient X(i)/X(j) for these {i,j}: {32, 32009}, {560, 40433}, {1501, 57397}, {1918, 72048}, {1919, 72049}, {1980, 50520}, {2175, 72047}, {2206, 40439}, {2667, 313}, {3691, 28659}, {3706, 40363}, {3720, 561}, {3739, 1502}, {4059, 41283}, {4436, 6386}, {6372, 40495}, {16589, 27801}, {18089, 40016}, {18166, 6385}, {20888, 1928}, {20963, 76}, {21753, 321}, {21820, 28654}, {22060, 305}, {22369, 20336}, {40975, 1969}, {48393, 44173}, {50497, 850}, {68881, 3261}, {70143, 310}, {70144, 1978}, {70154, 40050}
X(72267) = {X(31),X(32)}-harmonic conjugate of X(2205)

X(72268) = X(2)X(21615)∩X(38)X(21443)

X(72268) lies on these lines: {2, 21615}, {38, 21443}, {69, 20242}, {75, 4981}, {76, 321}, {310, 1921}, {312, 18142}, {313, 1233}, {350, 18059}, {693, 8034}, {716, 21327}, {726, 20889}, {756, 6381}, {1111, 21415}, {1230, 23989}, {1269, 35544}, {1920, 4358}, {3403, 32933}, {3666, 70146}, {3673, 70501}, {3706, 53363}, {3739, 16748}, {3741, 70345}, {3760, 32915}, {3761, 32771}, {3770, 41250}, {4377, 24326}, {4418, 4495}, {4609, 43685}, {4651, 59526}, {4671, 30637}, {4980, 40087}, {5057, 30660}, {6385, 16703}, {7244, 32930}, {16584, 30955}, {16741, 18021}, {17149, 46909}, {17863, 44154}, {18056, 24552}, {18089, 20963}, {20345, 33075}, {20567, 59181}, {20886, 46238}, {20888, 21020}, {27285, 32453}, {27495, 28605}, {27792, 69702}, {30596, 30636}, {30632, 48646}, {30938, 61407}, {32937, 69699}, {35538, 70261}, {35545, 39998}, {40013, 70308}, {40075, 51857}, {40956, 69833}, {52893, 59570}, {59511, 62627}, {70739, 71861}

X(72268) = isotomic conjugate of X(57397)
X(72268) = isotomic conjugate of the isogonal conjugate of X(3739)
X(72268) = polar conjugate of the isogonal conjugate of X(70154)
X(72268) = X(i)-Ceva conjugate of X(j) for these (i,j): {76, 53478}, {4609, 693}, {27808, 3261}
X(72268) = X(53478)-cross conjugate of X(20888)
X(72268) = X(i)-isoconjugate of X(j) for these (i,j): {31, 57397}, {32, 40433}, {560, 32009}, {1918, 40408}, {1919, 8708}, {2205, 40439}, {32739, 50520}
X(72268) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 57397}, {3121, 669}, {3739, 213}, {6374, 32009}, {6376, 40433}, {9296, 8708}, {16589, 6}, {17205, 3733}, {34021, 40408}, {40619, 50520}, {62646, 31}
X(72268) = cevapoint of X(3739) and X(70154)
X(72268) = crosspoint of X(76) and X(6385)
X(72268) = crosssum of X(32) and X(2205)
X(72268) = barycentric product X(i)*X(j) for these {i,j}: {75, 20888}, {76, 3739}, {264, 70154}, {274, 53478}, {310, 21020}, {313, 17175}, {321, 16748}, {561, 3720}, {670, 48393}, {693, 53363}, {1502, 20963}, {1978, 47672}, {3261, 70145}, {3596, 4059}, {3691, 20567}, {3706, 6063}, {4436, 40495}, {4572, 48264}, {4609, 50497}, {4754, 44187}, {6372, 6386}, {6385, 16589}, {8024, 18089}, {18022, 22060}, {18023, 70155}, {18166, 27801}, {21699, 57992}, {39793, 40072}, {40364, 40975}, {56251, 70153}
X(72268) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 57397}, {75, 40433}, {76, 32009}, {274, 40408}, {310, 40439}, {313, 72048}, {668, 8708}, {693, 50520}, {2667, 1918}, {3261, 72049}, {3596, 72047}, {3691, 41}, {3706, 55}, {3720, 31}, {3739, 6}, {4059, 56}, {4436, 692}, {4754, 172}, {4891, 3052}, {6372, 667}, {16589, 213}, {16748, 81}, {17175, 58}, {18089, 251}, {18166, 1333}, {20888, 1}, {20963, 32}, {21020, 42}, {21699, 872}, {21753, 2205}, {21820, 7109}, {22060, 184}, {29773, 4251}, {39793, 1402}, {40975, 1973}, {47672, 649}, {48264, 663}, {48393, 512}, {50497, 669}, {50538, 50487}, {52579, 1500}, {53363, 100}, {53478, 37}, {61163, 69826}, {68881, 1919}, {70143, 2206}, {70144, 32739}, {70145, 101}, {70153, 17187}, {70154, 3}, {70155, 187}, {70156, 20963}, {70162, 70815}
X(72268) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {76, 561, 321}, {310, 1921, 4359}, {313, 1233, 8024}, {321, 561, 35543}, {1920, 18152, 4358}, {40087, 60719, 4980}

X(72269) = X(1)X(3826)∩X(2)X(3723)

X(72269) lies on these lines: {1, 3826}, {2, 3723}, {6, 527}, {7, 16666}, {8, 17384}, {9, 17395}, {37, 5222}, {44, 3672}, {45, 4021}, {69, 17382}, {75, 36409}, {141, 16834}, {142, 4909}, {144, 16671}, {145, 17231}, {193, 17235}, {239, 4657}, {319, 17383}, {519, 3763}, {524, 17304}, {528, 16491}, {536, 3618}, {551, 49460}, {583, 37555}, {584, 1429}, {594, 29598}, {597, 3729}, {940, 68848}, {966, 41311}, {1051, 33103}, {1086, 1449}, {1100, 3945}, {1125, 49486}, {1213, 16833}, {1654, 17399}, {1698, 71320}, {1743, 17246}, {1836, 71184}, {1909, 29802}, {1992, 17345}, {2321, 47355}, {2999, 20196}, {3008, 16777}, {3017, 24890}, {3019, 5805}, {3056, 71711}, {3241, 53665}, {3244, 17311}, {3247, 17337}, {3416, 49477}, {3589, 3875}, {3616, 28581}, {3619, 17372}, {3620, 4725}, {3622, 49467}, {3623, 31243}, {3629, 17274}, {3632, 48635}, {3664, 62212}, {3666, 24597}, {3686, 17325}, {3739, 26626}, {3752, 62773}, {3755, 38187}, {3759, 4643}, {3765, 29764}, {3772, 5256}, {3821, 67964}, {3879, 17290}, {3973, 49742}, {4085, 49681}, {4277, 28358}, {4353, 64070}, {4356, 4989}, {4360, 17242}, {4361, 4967}, {4384, 17045}, {4389, 17121}, {4393, 4851}, {4395, 10436}, {4398, 17120}, {4399, 17308}, {4402, 4688}, {4416, 17323}, {4419, 16669}, {4431, 61344}, {4445, 49770}, {4460, 4727}, {4464, 17309}, {4644, 16668}, {4655, 4991}, {4659, 69556}, {4660, 47356}, {4664, 63051}, {4681, 26685}, {4686, 5749}, {4687, 29590}, {4699, 4798}, {4715, 51170}, {4716, 29646}, {4718, 54389}, {4751, 28640}, {4780, 48805}, {4795, 7321}, {4856, 40341}, {4859, 17392}, {4862, 7277}, {4863, 29819}, {4869, 50125}, {4902, 16667}, {4910, 6542}, {4912, 63127}, {4969, 17272}, {4971, 17286}, {5228, 62779}, {5232, 50082}, {5308, 46845}, {5695, 38049}, {5723, 7190}, {5750, 17119}, {5839, 17237}, {6144, 53598}, {6173, 63401}, {6329, 50127}, {6666, 16672}, {7189, 69529}, {14555, 50063}, {16475, 64016}, {16670, 17334}, {16674, 25072}, {16677, 60986}, {16814, 37681}, {16816, 17322}, {17011, 24789}, {17012, 17720}, {17013, 33129}, {17017, 33136}, {17025, 17721}, {17117, 17381}, {17132, 51185}, {17133, 53664}, {17151, 17369}, {17160, 17368}, {17228, 20016}, {17233, 29630}, {17234, 29584}, {17236, 62231}, {17241, 29588}, {17247, 68966}, {17258, 63050}, {17259, 41140}, {17265, 29574}, {17267, 31191}, {17268, 50121}, {17277, 17396}, {17282, 17390}, {17283, 17389}, {17284, 17388}, {17291, 17377}, {17294, 34573}, {17305, 17363}, {17306, 17362}, {17307, 29617}, {17314, 17357}, {17316, 17356}, {17318, 17353}, {17319, 17352}, {17320, 17349}, {17321, 17348}, {17324, 17346}, {17327, 50095}, {17329, 63049}, {17351, 50101}, {17355, 47352}, {17359, 63119}, {17379, 37756}, {17385, 42696}, {17391, 27191}, {17718, 67211}, {17723, 33128}, {20090, 48629}, {20182, 26723}, {21358, 49543}, {24217, 29821}, {24257, 38035}, {26104, 32099}, {26821, 27311}, {27846, 70815}, {29663, 69089}, {31017, 32774}, {31138, 62999}, {31187, 40940}, {32455, 49741}, {32911, 50068}, {32921, 38047}, {33149, 69632}, {37503, 64827}, {38023, 49482}, {40688, 62808}, {40965, 58562}, {43066, 60938}, {44735, 71002}, {46922, 48627}, {47358, 49497}, {47359, 49455}, {48310, 50089}, {48829, 49684}, {49463, 59406}, {49465, 50282}, {49472, 49688}, {49488, 50315}, {49495, 71322}, {49685, 50285}, {50019, 62224}, {50079, 63121}, {50097, 51127}, {50098, 59772}, {50103, 63008}, {50606, 56736}, {59373, 71638}, {69635, 70462}

X(72269) = reflection of X(17286) in X(51126)
X(72269) = crossdifference of every pair of points on line {9029, 58144}
X(72269) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17366, 17278}, {2, 4852, 17299}, {6, 3946, 17301}, {6, 17301, 17276}, {239, 4657, 17275}, {239, 17380, 4657}, {1100, 4000, 4675}, {3589, 3875, 17281}, {3589, 50112, 3875}, {3619, 50129, 17372}, {3759, 17249, 62989}, {3759, 17302, 4643}, {3946, 50114, 6}, {4000, 17014, 1100}, {4360, 17367, 17279}, {4361, 17023, 17303}, {4393, 16706, 4851}, {4402, 63055, 4688}, {4464, 29596, 17309}, {4751, 29586, 28640}, {4856, 50092, 40341}, {6173, 66549, 63401}, {7321, 37677, 4795}, {16475, 66071, 64016}, {17235, 50124, 193}, {17249, 62989, 4643}, {17277, 17396, 41312}, {17302, 62989, 17249}, {17319, 17352, 41313}, {17395, 69557, 9}, {47355, 50120, 2321}, {49472, 50287, 49688}, {50101, 51171, 17351}

X(72270) = X(7)X(44)∩X(37)X(144)

X(72270) lies on these lines: {1, 5852}, {2, 15492}, {6, 527}, {7, 44}, {8, 28570}, {9, 4675}, {37, 144}, {45, 3664}, {57, 51415}, {63, 5718}, {69, 4715}, {75, 20072}, {77, 62215}, {86, 4795}, {141, 28333}, {142, 16885}, {145, 4718}, {190, 4851}, {193, 536}, {226, 31187}, {241, 41563}, {269, 61007}, {320, 17232}, {321, 31303}, {344, 17376}, {346, 17374}, {391, 4688}, {513, 3779}, {516, 64070}, {518, 24695}, {519, 6144}, {524, 3729}, {537, 49681}, {545, 3629}, {553, 37679}, {583, 1423}, {597, 17304}, {599, 17355}, {726, 67964}, {752, 49688}, {894, 4643}, {896, 17718}, {940, 17781}, {966, 35578}, {986, 28646}, {990, 5843}, {1046, 37716}, {1086, 1743}, {1100, 4419}, {1278, 62231}, {1333, 56020}, {1418, 12848}, {1449, 17246}, {1721, 5851}, {1740, 24722}, {1757, 5880}, {1836, 32912}, {1992, 4852}, {2094, 63126}, {2245, 44421}, {2308, 71797}, {2321, 40341}, {2325, 17311}, {2345, 17344}, {2796, 49497}, {2895, 50048}, {2911, 6180}, {3000, 4878}, {3008, 60962}, {3218, 37651}, {3242, 5850}, {3247, 49742}, {3416, 17770}, {3474, 4849}, {3589, 17274}, {3618, 17235}, {3620, 17359}, {3630, 17294}, {3631, 17286}, {3666, 20078}, {3672, 16666}, {3686, 17118}, {3723, 63054}, {3731, 17392}, {3739, 54280}, {3751, 17768}, {3752, 9965}, {3758, 4657}, {3759, 4440}, {3763, 50115}, {3772, 4641}, {3834, 26685}, {3879, 4480}, {3911, 54281}, {3923, 17771}, {3928, 37662}, {3929, 17056}, {3941, 21320}, {3951, 49745}, {3958, 63398}, {3966, 32940}, {3973, 6173}, {4000, 16669}, {4021, 62212}, {4089, 72062}, {4252, 67850}, {4268, 18162}, {4273, 8822}, {4307, 49515}, {4357, 25503}, {4363, 4416}, {4373, 63086}, {4384, 7228}, {4389, 17120}, {4398, 17121}, {4415, 62812}, {4422, 17298}, {4454, 4686}, {4470, 70264}, {4473, 17241}, {4488, 17314}, {4648, 6172}, {4654, 72229}, {4655, 38047}, {4659, 17362}, {4660, 28558}, {4663, 24248}, {4664, 20090}, {4667, 4909}, {4670, 17257}, {4681, 20073}, {4700, 53594}, {4703, 71518}, {4722, 33098}, {4725, 11008}, {4741, 17289}, {4764, 20016}, {4796, 28639}, {4798, 17248}, {4856, 50120}, {4859, 60963}, {4862, 16670}, {4869, 41310}, {4880, 24223}, {4896, 6666}, {4969, 17151}, {5165, 69814}, {5220, 50307}, {5222, 16671}, {5223, 72228}, {5228, 60936}, {5564, 50074}, {5695, 34379}, {5698, 49478}, {5749, 17237}, {5750, 17253}, {5845, 69218}, {6329, 49741}, {6603, 7960}, {6690, 16570}, {7189, 37129}, {7190, 62216}, {7201, 17443}, {7227, 17270}, {7232, 17353}, {7238, 17282}, {7321, 17349}, {8557, 60965}, {9004, 12723}, {10436, 17332}, {11523, 64159}, {15533, 50118}, {15534, 17132}, {15601, 59372}, {15624, 69723}, {15668, 50093}, {16496, 50130}, {16602, 21454}, {16667, 17395}, {16702, 67123}, {16706, 71635}, {16726, 62214}, {16834, 32455}, {17023, 17255}, {17116, 17346}, {17117, 49722}, {17231, 21296}, {17243, 25728}, {17247, 46922}, {17254, 17381}, {17258, 17379}, {17259, 50116}, {17261, 17378}, {17264, 17375}, {17267, 59579}, {17272, 17369}, {17273, 17368}, {17277, 50128}, {17280, 17361}, {17288, 17354}, {17296, 17340}, {17297, 17339}, {17300, 17336}, {17306, 69556}, {17313, 25101}, {17315, 25269}, {17319, 49748}, {17320, 37677}, {17328, 28604}, {17330, 25590}, {17335, 26806}, {17348, 42697}, {17372, 20080}, {17382, 51171}, {17388, 55998}, {17393, 63052}, {17483, 24789}, {17484, 17720}, {17487, 50132}, {17491, 33114}, {17721, 62235}, {17723, 36263}, {17724, 36277}, {17767, 49488}, {17775, 55867}, {18206, 29698}, {20086, 42044}, {21747, 71798}, {21848, 34381}, {21853, 34371}, {22277, 71711}, {24217, 24703}, {24222, 49500}, {24280, 28581}, {24328, 36743}, {24514, 24691}, {24893, 25651}, {28322, 50129}, {28329, 63064}, {28526, 49486}, {28530, 49495}, {28580, 49680}, {28582, 51192}, {28609, 37646}, {28610, 63089}, {29571, 61000}, {30828, 59769}, {31017, 32777}, {31018, 37520}, {31138, 53665}, {31164, 35466}, {31183, 61020}, {31995, 37654}, {32087, 50082}, {32093, 62706}, {35652, 63057}, {36404, 51144}, {37642, 64143}, {37674, 62240}, {37681, 60984}, {37685, 50068}, {37756, 63050}, {37826, 45926}, {38315, 64017}, {38454, 64741}, {39126, 71002}, {41772, 54344}, {41839, 62230}, {42051, 63009}, {45789, 61330}, {47355, 50092}, {47356, 49455}, {47358, 49482}, {48627, 68966}, {48629, 63051}, {48805, 49505}, {49453, 51196}, {49465, 50303}, {49496, 68870}, {49503, 72036}, {49523, 50284}, {50084, 50992}, {50101, 51170}, {50103, 63067}, {50105, 63071}, {50124, 62995}, {50304, 50313}, {53599, 60922}, {60905, 68588}, {61014, 62789}, {62207, 64708}, {62823, 72231}, {71630, 72218}

X(72270) = reflection of X(i) in X(j) for these {i,j}: {69, 17351}, {3416, 32935}, {3875, 3629}, {4655, 71521}, {15533, 50118}, {17276, 6}, {17299, 3729}, {17345, 71638}, {20080, 17372}, {24248, 4663}, {40341, 2321}, {49453, 51196}, {49486, 64073}, {50076, 49721}, {50992, 50084}, {64016, 24695}
X(72270) = anticomplement of X(17345)
X(72270) = crossdifference of every pair of points on line {9029, 58159}
X(72270) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 60977, 17334}, {6, 17276, 17301}, {6, 49747, 3946}, {7, 44, 17278}, {9, 4888, 17245}, {9, 17365, 4675}, {69, 17351, 17281}, {144, 4644, 37}, {190, 17364, 4851}, {320, 17350, 17279}, {391, 7222, 4688}, {894, 4643, 17303}, {894, 17347, 4643}, {1743, 60933, 1086}, {2321, 40341, 50076}, {2345, 64015, 17344}, {3629, 3875, 50131}, {3631, 49726, 17286}, {3664, 60942, 45}, {3758, 6646, 4657}, {3758, 17249, 63053}, {3879, 4480, 17262}, {3973, 6173, 17337}, {4363, 4416, 17275}, {4454, 5839, 4686}, {4641, 5905, 3772}, {4648, 6172, 16814}, {4655, 71521, 38047}, {4862, 16670, 17366}, {4888, 17245, 4675}, {6646, 63053, 17249}, {7277, 17334, 1}, {16885, 62223, 142}, {17116, 17346, 28634}, {17245, 17365, 4888}, {17249, 63053, 4657}, {17258, 17379, 41312}, {17300, 17336, 41313}, {17345, 71638, 2}, {17484, 62795, 17720}, {20072, 31300, 75}, {20080, 50107, 17372}, {21296, 54389, 17231}, {25269, 50133, 17315}, {28609, 62820, 37646}, {36263, 61707, 17723}, {40341, 49721, 2321}, {49742, 63401, 3247}, {50115, 53598, 3763}

X(72271) = X(1)X(1213)∩X(6)X(519)

X(72271) lies on these lines: {1, 1213}, {2, 4916}, {6, 519}, {8, 1100}, {9, 3633}, {10, 4545}, {37, 145}, {44, 3161}, {45, 4098}, {69, 4725}, {75, 20016}, {86, 28634}, {141, 16834}, {142, 50019}, {144, 4718}, {192, 62231}, {193, 536}, {239, 4851}, {319, 4393}, {321, 20046}, {346, 4727}, {524, 3875}, {527, 6144}, {573, 37727}, {594, 1449}, {597, 17286}, {599, 3946}, {604, 41687}, {740, 64016}, {750, 49985}, {940, 50306}, {966, 3241}, {1030, 8666}, {1333, 56018}, {1400, 37738}, {1418, 53997}, {1575, 20012}, {1654, 17393}, {1743, 3943}, {1766, 5844}, {1901, 12625}, {1914, 71936}, {1992, 17351}, {1999, 5233}, {2238, 72164}, {2245, 3169}, {2269, 37740}, {2271, 50589}, {2275, 21858}, {2276, 20011}, {2277, 20040}, {2345, 3621}, {2895, 50068}, {2911, 69718}, {3008, 17311}, {3017, 24935}, {3056, 44671}, {3175, 63009}, {3187, 3772}, {3189, 21866}, {3204, 56530}, {3244, 3686}, {3247, 17330}, {3290, 19993}, {3416, 4085}, {3553, 12629}, {3554, 6765}, {3589, 17294}, {3616, 70264}, {3618, 17229}, {3619, 50081}, {3620, 17382}, {3623, 46845}, {3625, 5750}, {3629, 3729}, {3630, 17274}, {3631, 17304}, {3635, 5257}, {3644, 20072}, {3655, 37508}, {3656, 32431}, {3663, 40341}, {3664, 17119}, {3672, 17344}, {3679, 17398}, {3696, 50284}, {3707, 16675}, {3731, 34747}, {3751, 71320}, {3752, 20043}, {3759, 6542}, {3763, 50114}, {3770, 17144}, {3780, 72186}, {3813, 50036}, {3877, 21873}, {3879, 4361}, {3880, 21853}, {3913, 36743}, {3941, 4433}, {3945, 4371}, {3950, 4700}, {4000, 17374}, {4007, 16667}, {4021, 17253}, {4046, 62845}, {4051, 17443}, {4060, 4982}, {4261, 17448}, {4268, 64744}, {4270, 50637}, {4273, 50582}, {4307, 49468}, {4360, 4643}, {4383, 50292}, {4384, 17390}, {4386, 71935}, {4395, 17298}, {4399, 10436}, {4413, 49986}, {4416, 4464}, {4419, 4460}, {4445, 17023}, {4478, 17308}, {4644, 4686}, {4648, 50125}, {4659, 7277}, {4664, 62989}, {4667, 17118}, {4668, 61302}, {4670, 42696}, {4677, 59772}, {4681, 54280}, {4687, 29588}, {4690, 17321}, {4698, 29585}, {4715, 11008}, {4716, 5880}, {4720, 50070}, {4746, 61313}, {4764, 31300}, {4780, 5847}, {4795, 17116}, {4886, 58820}, {4889, 17316}, {4908, 63086}, {4912, 63064}, {4938, 33143}, {4952, 20693}, {5053, 64768}, {5069, 20691}, {5105, 50575}, {5115, 5255}, {5124, 8715}, {5153, 50581}, {5222, 17231}, {5224, 29584}, {5232, 41311}, {5564, 17379}, {5695, 51196}, {5698, 49461}, {5749, 16668}, {5816, 10222}, {5846, 16973}, {5882, 37499}, {6329, 50097}, {6603, 53994}, {7321, 50133}, {8584, 50089}, {8818, 53426}, {9053, 69218}, {10026, 33141}, {10453, 21904}, {10987, 16704}, {12437, 37500}, {12513, 36744}, {12536, 57286}, {12630, 41325}, {12649, 27395}, {13846, 49620}, {13847, 49621}, {13911, 49592}, {13973, 49593}, {14464, 62846}, {14923, 21863}, {15492, 20049}, {15533, 50109}, {15534, 17133}, {15668, 50095}, {16670, 17340}, {16671, 54389}, {16672, 63978}, {16677, 51096}, {16685, 68938}, {16706, 17373}, {16814, 37654}, {16816, 17317}, {16833, 17245}, {16972, 49451}, {16975, 56926}, {17014, 17384}, {17045, 17270}, {17117, 17378}, {17121, 17233}, {17151, 17365}, {17160, 17364}, {17162, 33070}, {17237, 32099}, {17239, 26626}, {17241, 29590}, {17242, 68966}, {17243, 29605}, {17258, 50074}, {17259, 29574}, {17261, 50121}, {17264, 63050}, {17265, 41140}, {17267, 49765}, {17271, 17396}, {17272, 17395}, {17277, 17389}, {17284, 69557}, {17287, 17380}, {17289, 20055}, {17295, 17367}, {17296, 17366}, {17300, 40891}, {17302, 17360}, {17309, 17353}, {17310, 17352}, {17315, 17349}, {17319, 17346}, {17320, 17343}, {17336, 63049}, {17337, 29573}, {17345, 20080}, {17357, 29616}, {17359, 51171}, {17375, 37756}, {17381, 29615}, {17397, 32025}, {17454, 50252}, {17718, 50756}, {17756, 20048}, {18147, 25298}, {20015, 44798}, {20017, 32777}, {20019, 69809}, {20036, 28244}, {20041, 62214}, {20057, 52706}, {20086, 50106}, {20174, 64133}, {20970, 50625}, {21764, 71796}, {21769, 67976}, {21773, 62825}, {21793, 71925}, {24391, 37504}, {24512, 72162}, {24695, 28484}, {25278, 59514}, {25590, 50098}, {26044, 42030}, {26107, 54098}, {27396, 56531}, {28581, 51192}, {28633, 63014}, {28640, 29576}, {29594, 47355}, {29598, 48635}, {30598, 60710}, {31303, 69539}, {32087, 50085}, {32455, 50127}, {32921, 71333}, {34379, 49453}, {35652, 63037}, {37637, 49554}, {37673, 42057}, {37681, 41310}, {37685, 50048}, {38047, 49489}, {41638, 49566}, {41648, 49568}, {42871, 50017}, {46838, 63493}, {46922, 48628}, {47358, 49472}, {48630, 63053}, {49448, 70696}, {49485, 50303}, {49496, 50030}, {49724, 62816}, {50084, 59373}, {50102, 63071}, {50104, 63067}, {50107, 51170}, {53417, 72139}, {53594, 62223}, {56387, 69851}, {60697, 71929}, {61358, 69089}

X(72271) = reflection of X(i) in X(j) for these {i,j}: {69, 4852}, {599, 49543}, {2321, 4856}, {3416, 49488}, {3729, 3629}, {5695, 51196}, {15533, 50109}, {17276, 3875}, {17281, 50131}, {17299, 6}, {17301, 50129}, {20080, 17345}, {40341, 3663}, {49451, 51147}, {49460, 49684}, {49688, 49497}, {50076, 16834}, {50079, 50124}, {50089, 8584}, {64016, 67964}
X(72271) = anticomplement of X(17372)
X(72271) = crossdifference of every pair of points on line {9002, 58181}
X(72271) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4034, 1213}, {1, 17362, 17275}, {6, 17299, 17281}, {6, 50087, 17355}, {6, 53664, 50115}, {8, 1100, 17303}, {9, 3633, 17388}, {69, 4852, 17301}, {69, 50129, 4852}, {86, 29617, 28634}, {145, 5839, 37}, {239, 4851, 17278}, {239, 17377, 4851}, {319, 4393, 4657}, {966, 3241, 3723}, {1213, 4034, 17275}, {1213, 17362, 4034}, {1449, 3632, 594}, {1654, 17393, 41312}, {2321, 4856, 6}, {3244, 3686, 16777}, {3618, 50079, 17229}, {3631, 50112, 17304}, {3723, 50082, 966}, {3759, 6542, 17279}, {3759, 17240, 63051}, {3879, 4361, 4675}, {3879, 49770, 4361}, {3945, 4371, 4688}, {3950, 4700, 16885}, {4007, 16667, 17369}, {4360, 17363, 4643}, {4416, 4464, 17318}, {4643, 4910, 4360}, {4677, 66549, 59772}, {4727, 16669, 346}, {4889, 17348, 17316}, {4969, 17388, 9}, {6542, 63051, 17240}, {16884, 62224, 10}, {17229, 50124, 3618}, {17240, 63051, 17279}, {17299, 50131, 6}, {17315, 17349, 41313}, {17353, 49761, 17309}, {17393, 50077, 1654}, {20080, 50101, 17345}, {25590, 66637, 63401}, {40341, 50120, 3663}, {49460, 49684, 50130}, {50098, 63401, 25590}, {50107, 51170, 71638}

X(72272) = X(1)X(17340)∩X(6)X(519)

X(72222) lies on these lines: {1, 17340}, {2, 4912}, {6, 519}, {7, 17357}, {8, 16669}, {9, 46}, {10, 16885}, {37, 2275}, {44, 391}, {45, 3986}, {69, 17359}, {75, 29590}, {86, 17339}, {141, 28333}, {144, 17237}, {145, 16668}, {190, 4657}, {193, 17229}, {319, 71635}, {320, 17358}, {344, 4670}, {346, 1100}, {524, 17286}, {527, 3763}, {536, 3618}, {545, 17304}, {551, 16674}, {594, 1743}, {597, 3875}, {672, 31241}, {894, 4675}, {966, 15492}, {1125, 16675}, {1449, 3943}, {1766, 28174}, {1836, 26061}, {1909, 29542}, {1992, 17372}, {2049, 59639}, {2285, 52783}, {2295, 72186}, {2308, 69089}, {2325, 4098}, {2329, 4268}, {2911, 5782}, {3008, 17118}, {3052, 53663}, {3056, 21865}, {3247, 51105}, {3416, 4672}, {3501, 4271}, {3589, 3729}, {3619, 17345}, {3620, 4715}, {3629, 17294}, {3663, 47355}, {3664, 17267}, {3686, 61321}, {3731, 4370}, {3739, 26685}, {3758, 4851}, {3765, 29423}, {3772, 4054}, {3773, 67964}, {3844, 24695}, {3879, 17269}, {3923, 4085}, {3936, 26223}, {3946, 47352}, {3950, 16884}, {3973, 17330}, {4007, 4969}, {4058, 4700}, {4357, 61344}, {4363, 17278}, {4364, 25728}, {4384, 7227}, {4398, 29630}, {4416, 17293}, {4419, 17384}, {4422, 10436}, {4440, 17370}, {4470, 18230}, {4473, 4687}, {4480, 17255}, {4643, 17238}, {4644, 17231}, {4648, 41310}, {4659, 17366}, {4664, 63053}, {4667, 17311}, {4681, 26626}, {4686, 5222}, {4688, 7229}, {4725, 51170}, {4748, 61006}, {4755, 63014}, {4780, 5695}, {4795, 17300}, {4816, 16670}, {4852, 50107}, {4859, 49727}, {4873, 16667}, {5032, 50084}, {5233, 27064}, {5257, 31253}, {5296, 26039}, {5564, 63050}, {5839, 16671}, {6057, 62845}, {6329, 16834}, {6646, 17371}, {6685, 59536}, {6703, 30568}, {7228, 17282}, {7231, 40480}, {7232, 29596}, {7277, 17296}, {8692, 50305}, {10445, 28150}, {12723, 58633}, {14555, 50052}, {15668, 25101}, {16491, 28503}, {16496, 48810}, {16666, 17314}, {16672, 59585}, {16677, 51109}, {16972, 28472}, {17023, 17262}, {17116, 17352}, {17120, 17233}, {17133, 51185}, {17151, 69557}, {17227, 31300}, {17228, 20072}, {17239, 54280}, {17242, 46922}, {17243, 59774}, {17246, 29598}, {17253, 29604}, {17257, 17385}, {17261, 17381}, {17264, 17379}, {17265, 50116}, {17268, 17378}, {17273, 29613}, {17274, 34573}, {17283, 50128}, {17284, 17365}, {17285, 17364}, {17292, 17347}, {17306, 17334}, {17307, 17333}, {17308, 17332}, {17315, 37677}, {17320, 25269}, {17324, 49748}, {17327, 50093}, {17328, 29591}, {17331, 70965}, {17335, 28604}, {17337, 25590}, {17341, 26806}, {17344, 29611}, {17349, 28634}, {17356, 42697}, {17361, 29587}, {17376, 29579}, {17382, 63119}, {17386, 63052}, {17395, 55998}, {17720, 41242}, {17721, 33170}, {17723, 33161}, {17750, 68938}, {17754, 31242}, {19808, 70742}, {20080, 50081}, {21255, 62223}, {21358, 53598}, {21803, 71872}, {24295, 32935}, {24703, 32780}, {24723, 26083}, {26065, 44417}, {27268, 28640}, {28160, 64121}, {28329, 63127}, {29097, 61261}, {29573, 63401}, {29581, 31333}, {29594, 40341}, {30615, 72201}, {30768, 61716}, {31178, 72030}, {31243, 62778}, {31244, 61001}, {32431, 50799}, {32455, 50097}, {32911, 50048}, {34524, 40942}, {35578, 53665}, {35652, 63013}, {37654, 51072}, {38023, 49472}, {38049, 49453}, {39798, 62214}, {44416, 59779}, {48628, 68966}, {48630, 62989}, {48632, 60933}, {49484, 59406}, {49485, 50282}, {49486, 59408}, {49741, 51127}, {50079, 62995}, {50082, 62985}, {50089, 63124}, {50104, 63008}, {50123, 51092}, {50124, 63123}, {50125, 62997}, {50129, 63011}, {50159, 63359}, {51097, 66549}, {59407, 63969}, {70422, 70969}, {71630, 72027}

X(72272) = midpoint of X(6) and X(53664)
X(72272) = reflection of X(17304) in X(51126)
X(72272) = crossdifference of every pair of points on line {2605, 9002}
X(72272) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17351, 17276}, {6, 17281, 17299}, {6, 17299, 50131}, {6, 17355, 17281}, {9, 17369, 17303}, {44, 2345, 17275}, {86, 17339, 41313}, {190, 17368, 4657}, {193, 17229, 50076}, {894, 17279, 4675}, {894, 17354, 17279}, {3161, 5749, 63055}, {3161, 63055, 37}, {3589, 3729, 17301}, {3589, 49726, 3729}, {3758, 17240, 20090}, {3758, 17280, 4851}, {3973, 59772, 17330}, {4058, 4700, 62224}, {4363, 17353, 17278}, {4370, 17398, 3731}, {4470, 18230, 31238}, {4873, 16667, 17388}, {5749, 54389, 37}, {5750, 59579, 45}, {5839, 61330, 16671}, {7229, 37650, 4688}, {17240, 20090, 4851}, {17261, 17381, 41312}, {17280, 20090, 17240}, {17289, 17350, 4643}, {17340, 69556, 1}, {17355, 50115, 6}, {17359, 71638, 69}, {29604, 60942, 17253}, {47355, 49721, 3663}, {49482, 49688, 50130}, {49482, 50313, 49688}, {50107, 51171, 4852}, {54389, 63055, 3161}

X(72273) = X(2)X(44)∩X(6)X(10)

X(72273) lies on these lines: {1, 3943}, {2, 44}, {6, 10}, {7, 17384}, {8, 16666}, {9, 583}, {12, 54377}, {37, 2275}, {43, 4285}, {45, 1125}, {69, 17385}, {75, 36409}, {86, 17244}, {142, 47355}, {145, 1100}, {171, 4290}, {190, 17397}, {193, 17239}, {306, 19722}, {319, 37677}, {344, 28639}, {346, 3723}, {391, 16671}, {519, 61321}, {524, 17308}, {527, 17325}, {536, 26626}, {551, 2325}, {572, 18481}, {594, 1449}, {597, 4384}, {599, 4667}, {750, 68879}, {894, 4389}, {966, 16669}, {1010, 4273}, {1086, 29598}, {1213, 1743}, {1266, 4363}, {1376, 37503}, {1404, 5252}, {1405, 24914}, {1575, 4277}, {1698, 16670}, {1724, 54351}, {1732, 24953}, {1766, 22791}, {1836, 29647}, {1909, 60861}, {1914, 72017}, {1992, 4690}, {2173, 29663}, {2245, 17754}, {2262, 3922}, {2267, 69545}, {2276, 24487}, {2277, 39798}, {2278, 41239}, {2285, 3649}, {2321, 3635}, {2911, 24564}, {3008, 47352}, {3056, 22279}, {3241, 4727}, {3244, 50087}, {3247, 17340}, {3589, 10436}, {3617, 50082}, {3618, 3739}, {3619, 17376}, {3623, 50123}, {3625, 4982}, {3629, 17270}, {3634, 3707}, {3636, 4029}, {3661, 46922}, {3664, 3763}, {3679, 4969}, {3729, 17045}, {3759, 28604}, {3770, 20943}, {3875, 7227}, {3877, 21864}, {3879, 17293}, {3912, 61344}, {3945, 17231}, {3946, 17118}, {4007, 66549}, {4026, 64016}, {4144, 33854}, {4357, 25503}, {4364, 29603}, {4370, 16676}, {4377, 41316}, {4386, 33882}, {4395, 10022}, {4416, 17327}, {4419, 41311}, {4422, 16831}, {4426, 5035}, {4432, 48822}, {4440, 17399}, {4470, 4688}, {4473, 29592}, {4480, 24441}, {4648, 17357}, {4659, 17395}, {4664, 29586}, {4665, 16834}, {4668, 16667}, {4678, 5839}, {4686, 7229}, {4687, 28640}, {4698, 26685}, {4702, 48830}, {4737, 71107}, {4746, 4856}, {4751, 63051}, {4753, 48809}, {4758, 29571}, {4851, 17230}, {4871, 70463}, {4888, 48632}, {4908, 38314}, {5087, 67495}, {5224, 17120}, {5257, 16885}, {5275, 60423}, {5294, 19701}, {5296, 15492}, {5308, 41310}, {5332, 70482}, {5439, 61650}, {5782, 26015}, {5880, 29633}, {6646, 17400}, {7113, 16788}, {7228, 17304}, {7277, 17272}, {7321, 17383}, {8584, 64712}, {8666, 59235}, {8818, 56954}, {9780, 37654}, {9955, 64121}, {14028, 66364}, {15668, 17353}, {16522, 49488}, {16548, 56532}, {16674, 59585}, {16675, 59579}, {16786, 29659}, {16826, 17354}, {17011, 50048}, {17067, 31139}, {17095, 60856}, {17116, 17380}, {17119, 50114}, {17228, 20090}, {17233, 29619}, {17249, 31300}, {17257, 25498}, {17264, 29570}, {17269, 29574}, {17271, 29608}, {17280, 17394}, {17282, 51126}, {17284, 17392}, {17285, 17391}, {17286, 17390}, {17290, 50116}, {17292, 17378}, {17296, 63401}, {17297, 29613}, {17298, 34573}, {17300, 17371}, {17305, 50128}, {17306, 17365}, {17307, 17364}, {17313, 29596}, {17314, 20057}, {17316, 17359}, {17317, 17358}, {17321, 17351}, {17322, 17350}, {17326, 17347}, {17342, 29569}, {17346, 29610}, {17348, 51171}, {17349, 28653}, {17356, 63119}, {17360, 29591}, {17366, 25590}, {17370, 26806}, {17374, 29611}, {17382, 42697}, {17387, 29587}, {17776, 37869}, {17790, 70462}, {18229, 61661}, {19684, 32777}, {19738, 56810}, {19766, 50054}, {19827, 62998}, {19860, 62216}, {19861, 62215}, {19868, 64070}, {20016, 62228}, {24183, 26627}, {24323, 30885}, {24357, 31306}, {24512, 30942}, {24553, 25067}, {25440, 54409}, {25496, 40401}, {26102, 71491}, {28060, 42014}, {28337, 61343}, {28633, 63123}, {29576, 68966}, {29579, 63110}, {29593, 62231}, {29605, 50097}, {29616, 50125}, {29834, 32771}, {29860, 69599}, {30144, 62210}, {30147, 62238}, {31238, 37650}, {31253, 63978}, {32772, 33120}, {33159, 43997}, {36478, 50301}, {36479, 49699}, {36480, 47359}, {36911, 51110}, {38023, 50023}, {40480, 48310}, {44417, 63013}, {44798, 63168}, {46835, 55432}, {46933, 63086}, {46934, 62706}, {48855, 70158}, {49491, 49509}, {49598, 53037}, {49709, 70419}, {50026, 59407}, {50077, 51353}, {50092, 62223}, {60697, 72203}, {61358, 70522}, {68883, 69503}, {70484, 71490}

X(72273) = midpoint of X(61321) and X(62212)
X(72273) = crossdifference of every pair of points on line {834, 4775}
X(72273) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4873, 50113}, {1, 17369, 17281}, {2, 3758, 4643}, {2, 4644, 17237}, {2, 4670, 4675}, {2, 20072, 17250}, {2, 54280, 4708}, {2, 71635, 17256}, {6, 5750, 17303}, {6, 17303, 17275}, {8, 16666, 50131}, {86, 17368, 17279}, {190, 17397, 41312}, {551, 2325, 16672}, {597, 4472, 4384}, {894, 4657, 17276}, {894, 17381, 4657}, {894, 29614, 4389}, {1100, 2345, 17299}, {1125, 50115, 45}, {1698, 16670, 17330}, {3589, 10436, 17278}, {3616, 5749, 54389}, {3616, 54389, 37}, {3636, 4029, 16777}, {3636, 17355, 4029}, {3758, 17250, 20072}, {3759, 28604, 28634}, {3943, 61302, 1}, {4363, 17023, 17301}, {4389, 17381, 29614}, {4389, 29614, 4657}, {4470, 5222, 4688}, {4473, 29592, 51488}, {4667, 29604, 599}, {5749, 63055, 37}, {16667, 59772, 17362}, {16671, 70264, 391}, {16826, 17354, 41313}, {17250, 20072, 4643}, {17289, 17379, 4851}, {17369, 61302, 3943}, {17398, 69556, 9}, {25498, 71638, 17257}, {26685, 63014, 4698}, {29591, 63052, 17360}, {29593, 63108, 62231}, {29603, 50127, 4364}, {29611, 63054, 17374}, {54389, 63055, 3616}

X(72274) = X(6)X(10)∩X(8)X(44)

X(72274) lies on these lines: {1, 4285}, {2, 4690}, {6, 10}, {8, 44}, {9, 3632}, {31, 70522}, {37, 145}, {43, 5109}, {45, 519}, {69, 3834}, {75, 20072}, {78, 62216}, {142, 40341}, {144, 4371}, {190, 29617}, {193, 3739}, {239, 4389}, {306, 19723}, {319, 17230}, {320, 16816}, {333, 4273}, {344, 17372}, {346, 15492}, {524, 4384}, {527, 17119}, {536, 20073}, {545, 4405}, {551, 4982}, {573, 18481}, {594, 1743}, {597, 17308}, {599, 3008}, {894, 28634}, {958, 37503}, {966, 1100}, {993, 54409}, {1001, 49756}, {1086, 16833}, {1107, 4277}, {1125, 62212}, {1150, 62620}, {1213, 1449}, {1266, 4361}, {1404, 24914}, {1405, 5252}, {1654, 3759}, {1914, 72203}, {1992, 4670}, {2238, 30942}, {2245, 21384}, {2262, 3962}, {2275, 68883}, {2276, 19998}, {2278, 3684}, {2280, 4062}, {2321, 4701}, {2323, 46835}, {2325, 3625}, {2345, 4678}, {2895, 24789}, {3052, 4061}, {3056, 22271}, {3241, 16590}, {3242, 50026}, {3244, 16672}, {3246, 50316}, {3555, 61650}, {3589, 17270}, {3617, 63086}, {3618, 17239}, {3620, 17356}, {3621, 4727}, {3623, 39260}, {3626, 50115}, {3629, 10436}, {3630, 17298}, {3631, 17282}, {3633, 16676}, {3635, 16777}, {3636, 4856}, {3661, 68966}, {3664, 6144}, {3679, 16670}, {3681, 25048}, {3696, 64016}, {3712, 39254}, {3723, 5296}, {3729, 4399}, {3731, 17388}, {3752, 14552}, {3758, 63049}, {3770, 70260}, {3772, 5739}, {3868, 61704}, {3872, 62215}, {3875, 17332}, {3879, 17259}, {3912, 50076}, {3945, 31238}, {3946, 17253}, {3966, 32864}, {3973, 4007}, {4000, 17344}, {4051, 17444}, {4058, 4545}, {4060, 53664}, {4144, 63087}, {4268, 54316}, {4290, 5247}, {4360, 17331}, {4363, 50095}, {4364, 16834}, {4370, 4677}, {4386, 5035}, {4393, 17256}, {4395, 17274}, {4422, 17294}, {4426, 33882}, {4445, 17353}, {4472, 8584}, {4478, 17286}, {4480, 50099}, {4489, 24696}, {4644, 4688}, {4659, 50098}, {4664, 20016}, {4665, 50127}, {4667, 15534}, {4708, 26626}, {4715, 42697}, {4725, 17316}, {4741, 37756}, {4746, 17355}, {4748, 17014}, {4751, 20090}, {4753, 47359}, {4755, 29585}, {4795, 66441}, {4798, 29576}, {4851, 17244}, {4852, 17257}, {4871, 37673}, {4886, 37652}, {4896, 31139}, {4908, 31145}, {4910, 17319}, {5069, 21857}, {5165, 9534}, {5222, 17237}, {5224, 17121}, {5232, 17384}, {5256, 49724}, {5264, 54351}, {5294, 19750}, {5308, 50125}, {5332, 19742}, {5564, 17350}, {5698, 49468}, {5749, 16671}, {5816, 9955}, {5846, 36404}, {5904, 61695}, {6172, 50085}, {6542, 17335}, {6666, 17311}, {6687, 29579}, {7277, 25590}, {8610, 71975}, {8666, 19297}, {9038, 64560}, {9456, 14829}, {14923, 21864}, {16468, 42334}, {16521, 49488}, {16525, 68942}, {16602, 37655}, {16667, 17398}, {16668, 19877}, {16706, 17343}, {16786, 29674}, {16814, 17314}, {16815, 17378}, {16831, 49731}, {16832, 17392}, {17023, 17251}, {17117, 17347}, {17151, 17334}, {17156, 41002}, {17160, 17333}, {17227, 29590}, {17228, 63051}, {17229, 26685}, {17231, 32099}, {17252, 17380}, {17260, 17377}, {17263, 17373}, {17264, 20055}, {17271, 17367}, {17272, 17366}, {17287, 17352}, {17289, 63050}, {17290, 41140}, {17295, 17338}, {17296, 17337}, {17297, 29628}, {17302, 17328}, {17306, 69557}, {17309, 25101}, {17318, 49770}, {17325, 50114}, {17351, 42696}, {17354, 29615}, {17357, 37681}, {17368, 32025}, {17376, 20080}, {17385, 51171}, {17397, 31144}, {17720, 37656}, {20046, 72052}, {20050, 50123}, {20174, 34283}, {20262, 62245}, {20331, 72161}, {21358, 31191}, {22165, 40480}, {22356, 61693}, {22836, 62238}, {22837, 62239}, {24589, 31303}, {24592, 30958}, {25278, 59519}, {25280, 60861}, {25557, 51194}, {26015, 37658}, {26039, 53620}, {28337, 29605}, {28633, 62995}, {28653, 37677}, {29569, 50132}, {29588, 51488}, {29604, 47352}, {29616, 41310}, {29860, 33084}, {30144, 62211}, {30588, 31034}, {30903, 49760}, {30991, 33129}, {31993, 63009}, {32774, 43990}, {33161, 39251}, {36480, 47356}, {40663, 54377}, {40891, 66451}, {41847, 63052}, {42014, 69681}, {44417, 63037}, {44720, 71107}, {47358, 50023}, {48829, 50022}, {48864, 66639}, {49449, 49509}, {49457, 49681}, {49688, 49701}, {49718, 69267}, {49765, 60986}, {50001, 59207}, {50015, 50075}, {50016, 50296}, {50019, 50120}, {50050, 68854}, {50305, 64165}, {51058, 72237}, {54008, 69545}, {56810, 63060}, {59772, 69556}, {60697, 72017}, {70969, 71934}, {70973, 72200}, {71631, 72215}

X(72274) = reflection of X(i) in X(j) for these {i,j}: {45, 3707}, {4675, 4384}
X(72274) = crossdifference of every pair of points on line {834, 58173}
X(72274) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4969, 50131}, {6, 3686, 17275}, {6, 17275, 17303}, {8, 44, 17281}, {8, 37654, 44}, {9, 3632, 3943}, {9, 17362, 17299}, {10, 4700, 6}, {10, 5750, 61313}, {44, 50082, 8}, {69, 17348, 17278}, {144, 4371, 4686}, {239, 4643, 17301}, {239, 17346, 4643}, {319, 17349, 17279}, {391, 5839, 37}, {597, 64712, 17308}, {966, 3616, 52706}, {1100, 52706, 3616}, {1213, 61302, 3624}, {1449, 3624, 61302}, {1654, 3759, 4657}, {1743, 4034, 594}, {2325, 3625, 50087}, {2345, 62985, 16669}, {3626, 50115, 61321}, {3632, 3943, 17299}, {3633, 16676, 50113}, {3679, 16670, 17369}, {3686, 4700, 10}, {3943, 17362, 3632}, {3973, 4007, 17340}, {4000, 63001, 17344}, {4060, 59579, 53664}, {4361, 4416, 17276}, {4393, 17256, 41312}, {4678, 61330, 2345}, {4678, 62985, 61330}, {4708, 50124, 26626}, {4748, 17014, 41311}, {4856, 5257, 16884}, {4969, 17330, 1}, {6542, 17335, 41313}, {6687, 50081, 29579}, {16668, 70264, 63055}, {16816, 50074, 320}, {16885, 62224, 2321}, {17277, 17363, 4851}, {17335, 50077, 6542}, {29576, 46922, 4798}, {32099, 37650, 17231}, {37654, 50082, 17281}, {49770, 50093, 17318}, {50308, 71921, 38047}

X(72275) = X(1)X(3255)∩X(37)X(144)

X(72275) lies on these lines: {1, 3255}, {2, 16669}, {6, 142}, {7, 1100}, {9, 7277}, {10, 40341}, {37, 144}, {44, 4648}, {45, 61000}, {57, 4271}, {63, 37631}, {69, 4670}, {75, 20016}, {81, 3772}, {86, 4643}, {145, 4686}, {190, 17391}, {193, 3739}, {226, 62207}, {319, 50133}, {320, 4657}, {344, 71638}, {354, 26892}, {391, 30712}, {519, 17118}, {524, 10436}, {527, 16777}, {594, 50076}, {597, 17282}, {599, 5750}, {651, 61013}, {894, 4795}, {908, 940}, {942, 37516}, {971, 5733}, {990, 68560}, {1086, 1449}, {1125, 17253}, {1419, 52023}, {1654, 41847}, {1743, 17245}, {1836, 62821}, {1992, 17348}, {2256, 66683}, {2277, 16726}, {2278, 7175}, {2345, 4747}, {2650, 63398}, {3056, 13476}, {3242, 4349}, {3247, 17334}, {3284, 17073}, {3419, 49744}, {3486, 31503}, {3589, 17298}, {3592, 31540}, {3594, 31541}, {3618, 3834}, {3620, 17385}, {3629, 4384}, {3630, 4472}, {3631, 17308}, {3644, 29588}, {3649, 64360}, {3662, 46922}, {3663, 16884}, {3686, 6144}, {3723, 4419}, {3729, 17390}, {3752, 63007}, {3758, 17241}, {3759, 26806}, {3782, 62808}, {3875, 7228}, {3879, 4363}, {3946, 4896}, {3950, 49721}, {4000, 16666}, {4001, 19701}, {4021, 49747}, {4038, 24703}, {4263, 53543}, {4307, 49478}, {4328, 34492}, {4344, 4864}, {4360, 50128}, {4361, 50116}, {4393, 7321}, {4398, 29584}, {4410, 44140}, {4413, 61652}, {4416, 15668}, {4440, 17393}, {4454, 4718}, {4461, 4727}, {4464, 50119}, {4470, 32099}, {4478, 10022}, {4649, 5880}, {4654, 6357}, {4658, 57282}, {4659, 17388}, {4664, 31300}, {4679, 9345}, {4681, 29585}, {4687, 20072}, {4688, 5839}, {4690, 20080}, {4698, 54280}, {4699, 62231}, {4708, 63014}, {4715, 17257}, {4725, 42696}, {4741, 17322}, {4751, 62989}, {4796, 17316}, {4798, 5224}, {4852, 42697}, {4859, 69557}, {4862, 17395}, {4869, 17357}, {4910, 17160}, {4971, 7231}, {4989, 38054}, {5222, 16668}, {5308, 16814}, {5316, 37674}, {5542, 38315}, {5711, 12594}, {5712, 5744}, {5749, 17231}, {5845, 16972}, {5905, 37595}, {6173, 16667}, {6180, 41857}, {6224, 7200}, {6646, 17394}, {7201, 17444}, {7227, 17294}, {7232, 17023}, {7238, 17304}, {7240, 24696}, {7248, 58572}, {7263, 16834}, {8025, 32859}, {9332, 29658}, {14969, 61716}, {14996, 17720}, {15569, 24695}, {16475, 25557}, {16670, 17337}, {16671, 37650}, {16673, 49742}, {16675, 60942}, {16706, 37677}, {16732, 44735}, {16826, 17347}, {16831, 17332}, {16885, 29571}, {17045, 17274}, {17056, 62812}, {17116, 17377}, {17120, 17234}, {17151, 49727}, {17227, 63053}, {17235, 26626}, {17237, 21296}, {17243, 50127}, {17244, 31333}, {17249, 29586}, {17258, 29570}, {17262, 29574}, {17263, 71635}, {17267, 50115}, {17272, 17398}, {17273, 17397}, {17280, 17387}, {17284, 69556}, {17288, 17381}, {17289, 17375}, {17296, 17369}, {17297, 17368}, {17311, 17355}, {17312, 17354}, {17313, 17353}, {17314, 35578}, {17317, 17350}, {17321, 17345}, {17325, 53598}, {17336, 29569}, {17340, 29573}, {17343, 28653}, {17356, 51171}, {17360, 28604}, {17362, 25590}, {17363, 28634}, {17384, 32093}, {17483, 50068}, {19622, 69891}, {19722, 54311}, {19738, 69251}, {20059, 46845}, {21255, 47355}, {21630, 62844}, {23812, 32853}, {24325, 67964}, {24554, 56531}, {24691, 37632}, {24693, 49685}, {24708, 64681}, {24789, 37685}, {25525, 61661}, {26724, 63095}, {26816, 27311}, {27147, 68966}, {27184, 42028}, {27187, 69743}, {28333, 29597}, {28369, 30035}, {28606, 41819}, {29598, 48632}, {31190, 37662}, {31671, 62183}, {32455, 34824}, {32777, 63056}, {33112, 64361}, {33129, 63039}, {34522, 61002}, {37520, 63008}, {37635, 62795}, {37642, 41825}, {42819, 50303}, {42871, 50130}, {44417, 63057}, {49479, 49681}, {49483, 50284}, {49491, 49533}, {49537, 64751}, {49743, 63394}, {49765, 53664}, {50065, 64377}, {50070, 63159}, {50113, 55998}, {50114, 60980}, {50120, 53594}, {50288, 72096}, {51463, 62819}, {52020, 71711}, {53541, 70815}, {53599, 68584}, {60901, 68586}, {62797, 68585}, {62871, 65460}, {63974, 71728}, {64070, 64174}, {68588, 72228}

X(72275) = reflection of X(i) in X(j) for these {i,j}: {17257, 28639}, {17275, 10436}
X(72275) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17365, 17276}, {1, 60933, 17246}, {6, 3664, 4675}, {6, 4675, 17278}, {7, 1100, 17301}, {7, 63054, 1100}, {69, 4670, 17303}, {86, 17248, 28640}, {86, 17364, 4643}, {145, 7222, 4686}, {320, 17379, 4657}, {894, 4851, 17281}, {894, 17378, 4851}, {1449, 4888, 1086}, {2345, 62999, 17374}, {3630, 4472, 17270}, {3664, 4667, 6}, {3758, 17300, 17279}, {3759, 39704, 26806}, {3879, 4363, 17299}, {3945, 4644, 37}, {4000, 62997, 16666}, {4021, 60962, 49747}, {4461, 4916, 4727}, {4643, 28640, 17248}, {4747, 62999, 2345}, {4795, 4851, 894}, {4795, 17378, 17281}, {6173, 16667, 17366}, {6646, 17394, 41312}, {7277, 17392, 9}, {9345, 61707, 4679}, {16673, 60977, 49742}, {16884, 62223, 3663}, {17246, 17365, 60933}, {17246, 60933, 17276}, {17257, 63110, 28639}, {17317, 17350, 41313}, {17365, 63401, 1}, {17483, 62801, 50068}, {21296, 63055, 17237}, {26806, 63052, 3759}, {62821, 64164, 1836}

X(72276) = X(2)X(319)∩X(6)X(142)

X(72276) lies on these lines: {1, 17337}, {2, 319}, {6, 142}, {7, 16669}, {8, 17357}, {9, 17246}, {10, 4989}, {19, 65689}, {37, 5222}, {44, 144}, {45, 3946}, {69, 17356}, {75, 29590}, {86, 29628}, {193, 3834}, {239, 17233}, {320, 63050}, {344, 4852}, {391, 17237}, {519, 17267}, {524, 17282}, {536, 26685}, {594, 16833}, {597, 10436}, {614, 51463}, {908, 2911}, {966, 17384}, {990, 60901}, {1086, 1743}, {1125, 49497}, {1213, 29598}, {1418, 54425}, {1429, 3204}, {1445, 5723}, {1449, 17245}, {1654, 17370}, {1738, 64016}, {1992, 17376}, {2256, 5316}, {2275, 64556}, {2345, 24599}, {2999, 5153}, {3161, 4718}, {3416, 4974}, {3589, 4384}, {3592, 31541}, {3594, 31540}, {3618, 3739}, {3619, 4690}, {3629, 17298}, {3644, 4473}, {3662, 68966}, {3663, 16885}, {3672, 16814}, {3686, 3763}, {3707, 17253}, {3723, 17014}, {3729, 4395}, {3731, 17395}, {3752, 5069}, {3765, 29484}, {3779, 64523}, {3823, 51192}, {3826, 16475}, {3836, 67964}, {3875, 4422}, {3879, 17265}, {3945, 16668}, {3950, 50120}, {3966, 29850}, {3973, 17334}, {4001, 19750}, {4021, 16675}, {4023, 29855}, {4034, 48635}, {4271, 27626}, {4360, 17338}, {4361, 4431}, {4370, 55998}, {4393, 17263}, {4399, 17286}, {4402, 4686}, {4413, 61647}, {4416, 17290}, {4419, 15492}, {4445, 29596}, {4643, 16706}, {4644, 16671}, {4648, 16666}, {4657, 17248}, {4670, 51171}, {4679, 33128}, {4688, 5749}, {4698, 26626}, {4700, 21255}, {4751, 4798}, {4795, 26806}, {4859, 16670}, {4869, 31243}, {4889, 29583}, {4910, 17315}, {4967, 61344}, {4969, 17296}, {5158, 17073}, {5224, 29630}, {5228, 41857}, {5272, 17051}, {5296, 41311}, {5437, 61661}, {5564, 17358}, {5733, 61595}, {5750, 47352}, {5880, 16468}, {6173, 7277}, {6329, 34824}, {6542, 17341}, {6610, 8732}, {6666, 16777}, {6702, 69153}, {7222, 61330}, {7263, 50127}, {7321, 71635}, {9945, 37817}, {14997, 33129}, {16020, 49478}, {16469, 72228}, {16487, 53534}, {16602, 37642}, {16610, 24597}, {16667, 17392}, {16672, 25072}, {16815, 17381}, {16816, 17289}, {16825, 38047}, {16832, 17398}, {16834, 17243}, {16884, 29571}, {17020, 72226}, {17023, 17259}, {17033, 24735}, {17117, 17354}, {17118, 50115}, {17119, 17355}, {17121, 17234}, {17151, 17340}, {17160, 17339}, {17227, 62989}, {17232, 62231}, {17235, 54280}, {17240, 20016}, {17256, 17383}, {17257, 17382}, {17260, 17380}, {17266, 17377}, {17270, 34573}, {17283, 17363}, {17284, 17362}, {17285, 29617}, {17291, 17346}, {17293, 50095}, {17295, 29629}, {17302, 17335}, {17304, 17332}, {17305, 17331}, {17306, 17330}, {17308, 51126}, {17309, 49770}, {17311, 62398}, {17314, 41310}, {17318, 25101}, {17323, 50093}, {17325, 63978}, {17344, 37654}, {17350, 37756}, {17359, 42696}, {17361, 63049}, {17364, 27191}, {17372, 29579}, {17374, 31189}, {17385, 63119}, {17720, 37680}, {17721, 33139}, {17723, 71994}, {18261, 62239}, {19723, 54311}, {19796, 70742}, {20072, 48629}, {23511, 31190}, {24393, 67538}, {24596, 60697}, {24703, 33132}, {24789, 31019}, {25590, 69556}, {26724, 63074}, {27065, 50068}, {27147, 46922}, {27549, 49463}, {27624, 67501}, {29594, 62224}, {29613, 32025}, {30117, 36867}, {31018, 50103}, {31138, 63086}, {31229, 62620}, {31238, 63055}, {31289, 49488}, {31671, 53599}, {33114, 68958}, {33123, 71920}, {33133, 63096}, {34492, 43043}, {35466, 62216}, {37520, 63067}, {42697, 71638}, {42819, 50282}, {49459, 72030}, {49460, 50022}, {49680, 49768}, {49688, 50023}, {49721, 53594}, {49747, 60942}, {50109, 59585}, {51128, 64712}, {60996, 63054}, {61034, 71711}, {62223, 63589}, {63060, 69251}, {63522, 64751}, {71184, 71998}, {71631, 72028}

X(72276) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3759, 4851}, {2, 5839, 17231}, {2, 17348, 17275}, {6, 3008, 17278}, {6, 17278, 4675}, {9, 17366, 17301}, {10, 4989, 38315}, {44, 4000, 17276}, {239, 17279, 17299}, {239, 17352, 17279}, {1449, 31183, 17245}, {3589, 4384, 17303}, {3629, 40480, 17298}, {3686, 31191, 3763}, {3759, 4851, 50131}, {4000, 37681, 44}, {4021, 60986, 16675}, {4360, 17338, 41313}, {4361, 17353, 17281}, {4383, 26723, 3772}, {4402, 54389, 4686}, {4700, 21255, 40341}, {4751, 63053, 4798}, {4852, 6687, 344}, {4859, 16670, 17365}, {5222, 37650, 37}, {5839, 17231, 50076}, {6666, 50114, 16777}, {16667, 20195, 17392}, {16706, 17349, 4643}, {16816, 17289, 28634}, {17121, 29607, 17234}, {17260, 17380, 41312}, {17277, 17367, 4657}, {17337, 69557, 1}, {17353, 41140, 4361}, {29590, 63051, 75}

X(72277) = X(1)X(6)∩X(519)X(20459)

X(72277) lies on these lines: {1, 6}, {519, 20459}, {672, 71414}, {812, 1019}, {1015, 18792}, {1018, 68969}, {1475, 49482}, {3286, 70118}, {3873, 21369}, {4366, 18206}, {5156, 70476}, {5263, 68950}, {16549, 32941}, {16704, 38346}, {17026, 24596}, {17027, 37639}, {17030, 27145}, {17031, 70489}, {17034, 71132}, {17145, 46148}, {17169, 17178}, {17176, 26814}, {17277, 29383}, {17474, 33682}, {18157, 70126}, {20470, 35342}, {23415, 71489}, {29433, 29437}, {29742, 29746}, {29824, 61234}, {31645, 71444}, {36808, 71928}, {40859, 70835}, {61235, 71985}, {69029, 70941}, {69067, 71867}
on the IK Line

X(72277) = crossdifference of every pair of points on line {513, 872}
X(72277) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {29824, 69074, 61234}, {30940, 71866, 71416}, {69008, 70683, 71650}

X(72278) = X(1)X(2)∩X(75)X(64554)

X(72278) lies on these lines: {1, 2}, {75, 64554}, {86, 71648}, {244, 62636}, {982, 31036}, {2176, 71982}, {2309, 27017}, {3685, 53410}, {3766, 6372}, {3952, 62872}, {3975, 71696}, {4358, 20358}, {4427, 20367}, {9335, 24621}, {16476, 37639}, {16684, 29437}, {17142, 18137}, {17165, 64560}, {17234, 21278}, {17243, 28597}, {17296, 25292}, {17312, 25284}, {18206, 70116}, {20923, 71459}, {21010, 71986}, {21330, 71948}, {22289, 29446}, {23407, 71479}, {24578, 68971}, {24696, 27107}, {25277, 35892}, {26816, 53541}, {27311, 70815}, {30939, 64523}, {30941, 39044}, {30982, 31026}, {33107, 71973}, {53307, 68969}, {53312, 69263}, {53338, 57024}, {57034, 70983}, {62813, 71980}, {64149, 70462}, {64545, 71944}, {68769, 71978}, {69082, 70679}, {69887, 70908}, {70483, 71655}
on the Nagel line

X(72278) = crossdifference of every pair of points on line {649, 7109}
X(72278) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3912, 20352, 23354}, {17312, 69982, 25284}, {18137, 64524, 17142}

X(72279) = X(1)X(6)∩X(101)X(932)

X(72279) lies on these lines: {1, 6}, {100, 43077}, {101, 932}, {190, 646}, {649, 17780}, {650, 61176}, {660, 1026}, {661, 42723}, {672, 52908}, {765, 54328}, {813, 3570}, {894, 70723}, {1019, 68998}, {1282, 20603}, {1575, 36814}, {3219, 68875}, {3501, 34361}, {3662, 24170}, {3681, 21369}, {3699, 61235}, {3909, 35309}, {3939, 70449}, {3952, 46148}, {4063, 70939}, {4090, 53129}, {4103, 53338}, {4169, 53340}, {4363, 69731}, {4375, 53337}, {4557, 21003}, {4567, 56982}, {4584, 17934}, {4756, 68821}, {6646, 26752}, {16549, 32935}, {16704, 69834}, {17277, 71820}, {17350, 24502}, {18052, 29527}, {18792, 21830}, {18793, 51973}, {20716, 53399}, {23354, 62558}, {23831, 41405}, {24578, 24821}, {25577, 43290}, {29375, 29379}, {29502, 33764}, {29691, 29695}, {30730, 61183}, {39258, 71836}, {40972, 42054}, {53280, 61164}, {53582, 68134}, {54099, 70125}, {57151, 69826}, {67343, 69485}, {69069, 69087}, {70677, 71867}, {70687, 70705}
on the IK Line

X(72279) = X(i)-Ceva conjugate of X(j) for these (i,j): {765, 20663}, {813, 1018}, {3570, 1026}, {69086, 23354}
X(72279) = X(6373)-cross conjugate of X(18792)
X(72279) = X(i)-isoconjugate of X(j) for these (i,j): {2, 23355}, {6, 62638}, {58, 70307}, {86, 66947}, {251, 35367}, {513, 20332}, {514, 727}, {649, 3226}, {667, 32020}, {693, 34077}, {812, 63881}, {1015, 8709}, {1019, 18793}, {1977, 54985}, {3253, 3572}, {3669, 8851}, {3733, 27809}, {6373, 57535}, {23345, 60865}, {36799, 43924}, {43931, 62421}
X(72279) = X(i)-Dao conjugate of X(j) for these (i,j): {9, 62638}, {10, 70307}, {726, 20908}, {1575, 3766}, {3948, 65101}, {5375, 3226}, {6631, 32020}, {17793, 514}, {20532, 693}, {22116, 4444}, {27846, 27918}, {32664, 23355}, {39026, 20332}, {40585, 35367}, {40600, 66947}
X(72279) = cevapoint of X(i) and X(j) for these (i,j): {659, 68751}, {6373, 21830}
X(72279) = crosspoint of X(i) and X(j) for these (i,j): {190, 660}, {69086, 69087}
X(72279) = crosssum of X(i) and X(j) for these (i,j): {514, 71469}, {649, 659}, {2238, 14752}
X(72279) = trilinear pole of line {1575, 3009}
X(72279) = crossdifference of every pair of points on line {513, 3123}
X(72279) = barycentric product X(i)*X(j) for these {i,j}: {1, 23354}, {10, 69087}, {37, 69086}, {100, 726}, {101, 52043}, {190, 1575}, {321, 69069}, {644, 43040}, {660, 17793}, {668, 3009}, {692, 35538}, {765, 3837}, {799, 21830}, {813, 62553}, {874, 40155}, {1018, 62636}, {1252, 20908}, {1463, 3699}, {1978, 21760}, {3570, 52656}, {3952, 18792}, {4562, 17475}, {4567, 21053}, {4583, 20663}, {4589, 20681}, {4595, 40881}, {6335, 20785}, {6373, 7035}, {6386, 70658}, {8850, 36801}, {17780, 36814}, {21140, 57731}, {27044, 65202}, {36863, 71435}, {37135, 59724}, {52633, 57950}, {52923, 67196}
X(72279) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 62638}, {31, 23355}, {37, 70307}, {38, 35367}, {100, 3226}, {101, 20332}, {190, 32020}, {213, 66947}, {644, 36799}, {692, 727}, {726, 693}, {765, 8709}, {1018, 27809}, {1023, 60865}, {1463, 3676}, {1575, 514}, {3009, 513}, {3573, 3253}, {3837, 1111}, {3939, 8851}, {4557, 18793}, {4595, 40844}, {6373, 244}, {7035, 54985}, {8850, 43041}, {17475, 812}, {17793, 3766}, {18792, 7192}, {20532, 20908}, {20663, 659}, {20681, 4010}, {20690, 21053}, {20777, 1459}, and many others`
X(72279) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 9, 24491}, {190, 874, 71417}, {190, 69007, 71651}, {765, 54328, 69889}, {2284, 23343, 69901}, {2284, 23830, 71785}, {2284, 69901, 1023}, {3219, 68875, 71554}, {3952, 46148, 61234}, {23343, 23830, 2284}, {23343, 71785, 1023}, {23891, 69034, 71550}, {23891, 71417, 874}, {69901, 71785, 2284}

X(72280) = X(63)X(2820)∩X(100)X(101)

X(72280) lies on these lines: {63, 2820}, {78, 38324}, {100, 101}, {522, 693}, {650, 68117}, {656, 47798}, {659, 15313}, {812, 3434}, {926, 69041}, {1734, 47785}, {1769, 53361}, {3869, 38329}, {3870, 43050}, {3873, 53544}, {4041, 31150}, {4728, 11680}, {6003, 13258}, {6734, 62432}, {13165, 57111}, {13259, 29066}, {17784, 47776}, {28292, 47892}, {44551, 48018}, {45674, 54264}, {48242, 50338}, {48244, 59829}, {59942, 69365}

X(72280) = reflection of X(3870) in X(43050)
X(72280) = crossdifference of every pair of points on line {41, 244}

X(72281) = X(76)X(85)∩X(238)X(519)

X(72281) lies on these lines: {76, 85}, {238, 519}, {239, 17776}, {346, 60856}, {668, 69718}, {2321, 49774}, {3008, 33116}, {3693, 69038}, {6542, 27523}, {6735, 71050}, {6738, 69837}, {6743, 69868}, {10027, 17242}, {17233, 49755}, {17243, 49777}, {17316, 69003}, {18055, 21073}, {19810, 29988}, {20893, 59202}, {30109, 49782}, {30225, 40872}, {32836, 39749}, {44669, 62390}, {49756, 69829}, {56536, 69737}

X(72281) = {X(17233),X(49755)}-harmonic conjugate of X(49773)

X(72282) = X(1)X(6)∩X(32)X(75)

X(72282) lies on these lines: {1, 6}, {32, 75}, {172, 24325}, {239, 41333}, {251, 3112}, {321, 71398}, {384, 60719}, {385, 1921}, {740, 1914}, {1580, 14599}, {2205, 32914}, {2240, 33129}, {2241, 49470}, {3739, 5277}, {3774, 69211}, {3797, 69887}, {4455, 8678}, {6179, 10009}, {7031, 49474}, {7751, 21615}, {8624, 32922}, {15991, 71318}, {16609, 51956}, {27042, 68934}, {27474, 69024}, {31025, 69488}, {31027, 33157}, {36287, 36294}, {38810, 52379}, {41656, 59565}, {49459, 69243}

X(72282) = isogonal conjugate of the isotomic conjugate of X(41250)
X(72282) = barycentric product X(i)*X(j) for these {i,j}: {6, 41250}, {238, 32771}, {239, 17750}, {3573, 50352}
X(72282) = barycentric quotient X(i)/X(j) for these {i,j}: {17750, 335}, {32771, 334}, {41250, 76}, {50352, 66286}

X(72283) = X(171)X(3963)∩X(750)X(3596)

X(72283) lies on these lines: {171, 3963}, {750, 3596}, {894, 7184}, {1909, 20964}, {2209, 64133}, {2321, 4418}, {2330, 3023}, {3720, 71142}, {3912, 71423}, {3917, 32940}, {3923, 17242}, {3980, 48628}, {6645, 7122}, {7064, 32938}, {8033, 71829}, {17157, 41265}, {17317, 24425}, {17319, 24259}, {17396, 24260}, {22008, 32949}, {22172, 71629}

X(72283) = barycentric product X(i)*X(j) for these {i,j}: {894, 32771}, {1909, 17750}, {18047, 50352}, {18787, 41250}
X(72283) = barycentric quotient X(i)/X(j) for these {i,j}: {17750, 256}, {32771, 257}

X(72284) = X(1)X(2)∩X(31)X(76)

X(72284) lies on these lines: {1, 2}, {31, 76}, {82, 308}, {171, 20913}, {238, 3948}, {313, 71139}, {350, 3747}, {385, 2210}, {579, 17157}, {748, 30830}, {1500, 32928}, {1909, 20985}, {1966, 18891}, {2308, 17499}, {3730, 32925}, {3765, 16476}, {3769, 20917}, {3891, 12782}, {4044, 32930}, {4418, 20888}, {5846, 20486}, {6590, 21832}, {7307, 18021}, {7751, 60722}, {12263, 62813}, {16690, 18147}, {17127, 31060}, {17750, 32771}, {20456, 37686}, {20544, 32844}, {20683, 32927}, {21240, 33123}, {24995, 33081}, {26034, 70561}, {30940, 71752}, {31026, 70720}, {32781, 70563}, {32936, 69255}, {34063, 46908}, {37680, 59690}, {68980, 71673}, {69700, 70430}

X(72284) = barycentric product X(i)*X(j) for these {i,j}: {1, 41250}, {239, 32771}, {350, 17750}, {3570, 50352}
X(72284) = barycentric quotient X(i)/X(j) for these {i,j}: {17750, 291}, {32771, 335}, {41250, 75}, {50352, 4444}
X(72284) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {239, 68949, 56805}, {239, 69899, 4489}, {4039, 17031, 239}, {26237, 41233, 1}

X(72285) = X(1)X(6)∩X(32)X(4676)

X(72285) lies on these lines: {1, 6}, {32, 4676}, {101, 2235}, {172, 4672}, {187, 71673}, {190, 8624}, {312, 62420}, {650, 4455}, {746, 20643}, {1055, 68884}, {1252, 7035}, {1914, 3985}, {2205, 32930}, {2210, 67404}, {2238, 15507}, {2240, 5057}, {2242, 3758}, {3685, 41333}, {49484, 70551}, {51319, 59511}, {70682, 71046}, {71393, 71817}

X(72285) = X(i)-isoconjugate of X(j) for these (i,j): {876, 35009}, {3572, 35008}
X(72285) = crossdifference of every pair of points on line {513, 37596}
X(72285) = barycentric product X(i)*X(j) for these {i,j}: {238, 32931}, {2276, 19625}, {3573, 69363}
X(72285) = barycentric quotient X(i)/X(j) for these {i,j}: {3573, 35008}, {19625, 71861}, {32931, 334}, {69363, 66286}, {69889, 35009}
X(72285) = {X(238),X(69901)}-harmonic conjugate of X(16514)

X(72286) = X(1)X(2)∩X(100)X(730)

X(72286) lies on these lines: {1, 2}, {100, 730}, {522, 20979}, {538, 32845}, {668, 2239}, {740, 51381}, {750, 64133}, {765, 5388}, {1573, 32917}, {2209, 3596}, {2210, 70386}, {3218, 68873}, {3747, 3975}, {4009, 52964}, {4279, 4710}, {4396, 71768}, {4434, 70700}, {14839, 32927}, {31337, 70513}, {32919, 61674}, {46018, 56128}, {69974, 71090}, {71134, 71818}

X(72286) = X(i)-isoconjugate of X(j) for these (i,j): {875, 35008}, {3572, 35009}
X(72286) = barycentric product X(i)*X(j) for these {i,j}: {239, 32931}, {984, 19625}, {3570, 69363}
X(72286) = barycentric quotient X(i)/X(j) for these {i,j}: {3570, 35008}, {3573, 35009}, {19625, 870}, {32931, 335}, {69363, 4444}
X(72286) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {239, 69899, 3783}, {5205, 10027, 71082}, {40859, 56801, 899}

X(72287) = X(1)X(4723)∩X(2)X(38)

X(72287) lies on these lines: {1, 4723}, {2, 38}, {8, 25079}, {9, 32918}, {10, 3877}, {11, 33117}, {31, 5205}, {42, 18743}, {43, 3896}, {44, 72199}, {57, 32938}, {100, 4011}, {183, 70874}, {192, 25106}, {200, 32943}, {210, 30942}, {226, 25961}, {238, 26688}, {312, 899}, {320, 72011}, {321, 16569}, {329, 33067}, {341, 1201}, {354, 59596}, {497, 24709}, {518, 30957}, {612, 32944}, {614, 32927}, {661, 52657}, {748, 7081}, {750, 27064}, {894, 17124}, {896, 70742}, {908, 4138}, {936, 27378}, {976, 13741}, {978, 3701}, {995, 3992}, {1054, 32933}, {1089, 17749}, {1125, 64435}, {1149, 4737}, {1193, 46937}, {1376, 9458}, {1757, 71984}, {1962, 25123}, {1997, 11269}, {2887, 27131}, {2999, 32928}, {3210, 3994}, {3240, 46938}, {3305, 32917}, {3306, 32940}, {3452, 25760}, {3589, 29847}, {3661, 59690}, {3666, 59506}, {3677, 59599}, {3679, 59669}, {3681, 3840}, {3689, 71452}, {3699, 3938}, {3702, 6048}, {3703, 51415}, {3705, 27130}, {3706, 72161}, {3720, 30829}, {3722, 71529}, {3727, 25610}, {3729, 70999}, {3740, 30818}, {3741, 63961}, {3752, 4009}, {3757, 17125}, {3769, 62659}, {3791, 14997}, {3816, 16594}, {3823, 17605}, {3831, 3876}, {3836, 31053}, {3846, 29679}, {3868, 46827}, {3873, 4090}, {3914, 62297}, {3920, 70942}, {3932, 29849}, {3944, 30566}, {3961, 71978}, {3967, 16610}, {3971, 4850}, {3980, 9342}, {3985, 17756}, {4082, 45204}, {4125, 49992}, {4135, 50106}, {4187, 36568}, {4359, 62711}, {4362, 37680}, {4372, 70960}, {4383, 17763}, {4385, 27627}, {4413, 4418}, {4415, 33125}, {4417, 29687}, {4422, 5432}, {4429, 69173}, {4434, 17127}, {4514, 71992}, {4642, 19582}, {4645, 26791}, {4655, 26792}, {4661, 72241}, {4663, 71919}, {4679, 32947}, {4683, 31018}, {4692, 71609}, {4696, 21214}, {4703, 33086}, {4706, 22034}, {4713, 70997}, {4722, 37684}, {4767, 62814}, {4847, 59686}, {4849, 72164}, {4865, 60459}, {4891, 21870}, {4970, 51059}, {4974, 63096}, {4981, 29827}, {5014, 71990}, {5121, 63147}, {5192, 5293}, {5211, 71796}, {5233, 15523}, {5268, 32772}, {5272, 32923}, {5284, 29670}, {5297, 25496}, {5524, 71929}, {5529, 49492}, {5718, 29854}, {5741, 29674}, {5835, 50038}, {5902, 49993}, {6174, 59580}, {6557, 26047}, {6734, 59685}, {7033, 7035}, {7262, 71479}, {7292, 32920}, {7308, 29828}, {7322, 29826}, {9350, 32932}, {9364, 28997}, {9369, 32577}, {10327, 32844}, {10453, 21805}, {11238, 71327}, {11814, 29673}, {12263, 29628}, {16729, 18192}, {16825, 37687}, {17020, 32921}, {17122, 26223}, {17123, 26227}, {17263, 29661}, {17279, 29846}, {17289, 72006}, {17339, 59562}, {17341, 29869}, {17358, 25120}, {17450, 26103}, {17469, 70485}, {17592, 31035}, {17597, 59597}, {17602, 29852}, {17716, 70483}, {17717, 69250}, {17718, 29851}, {17720, 29850}, {17724, 29853}, {17777, 33094}, {17889, 24988}, {18201, 71793}, {18228, 26034}, {19877, 49598}, {20892, 53676}, {21020, 26038}, {21093, 33146}, {22167, 27291}, {24169, 33151}, {24174, 56318}, {24440, 25253}, {24598, 59735}, {24627, 72055}, {24703, 32948}, {25006, 59684}, {25378, 32773}, {25385, 72014}, {26037, 44417}, {26102, 46897}, {26580, 33174}, {26685, 59667}, {27002, 62222}, {27003, 32935}, {27065, 32916}, {28606, 59517}, {29643, 37662}, {29649, 32911}, {29662, 33118}, {29671, 37651}, {29677, 33126}, {29681, 31289}, {29845, 38047}, {29848, 72219}, {29857, 30827}, {30567, 32919}, {30568, 32936}, {30578, 33102}, {30947, 62867}, {31242, 49448}, {31993, 58451}, {32845, 56082}, {32846, 63010}, {32850, 71988}, {32852, 63002}, {32855, 62620}, {32859, 72009}, {32862, 71085}, {32865, 71102}, {32912, 71985}, {32913, 71986}, {32914, 37679}, {32929, 56009}, {32945, 67097}, {33064, 71999}, {33065, 69092}, {33066, 72007}, {33069, 72001}, {33088, 63126}, {33089, 69297}, {33101, 69251}, {33114, 71995}, {33121, 71997}, {33122, 72003}, {33124, 72005}, {33165, 69134}, {33172, 69299}, {34064, 67211}, {34587, 71729}, {35263, 59593}, {37549, 59598}, {37592, 59582}, {37762, 56520}, {40585, 63483}, {41241, 62841}, {41711, 72087}, {41839, 46904}, {42448, 52527}, {42871, 72091}, {43290, 71911}, {44416, 66509}, {49484, 71917}, {49493, 71117}, {49709, 72042}, {59679, 62838}, {59726, 72213}, {62795, 71515}, {62806, 70841}, {63479, 71021}, {64070, 72093}, {67207, 72160}, {68993, 71635}, {70152, 71631}, {70219, 71936}

X(72287) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3952, 982}, {2, 9335, 58467}, {2, 17165, 17063}, {2, 27538, 38}, {2, 32931, 32771}, {2, 32937, 244}, {2, 59511, 32931}, {43, 4358, 32915}, {226, 60423, 25961}, {312, 899, 32860}, {908, 62673, 25957}, {3210, 4903, 3994}, {3666, 59506, 64178}, {3699, 71980, 3938}, {3740, 30818, 31330}, {3752, 4009, 32925}, {3932, 37663, 29849}, {3967, 16610, 17155}, {3971, 6686, 4850}, {4090, 4871, 3873}, {9342, 41242, 3980}, {9458, 32930, 1376}, {11814, 29673, 72013}, {19582, 26029, 4642}, {24003, 59511, 2}, {33118, 37758, 29662}, {41839, 59298, 46904}, {42055, 58467, 9335}, {44417, 61686, 26037}, {62620, 69301, 32855}

X(72288) = X(1)X(3896)∩X(2)X(38)

X(72288) lies on these lines: {1, 3896}, {2, 38}, {7, 4683}, {8, 62867}, {9, 32940}, {10, 3873}, {31, 16823}, {37, 17155}, {42, 19804}, {43, 24589}, {57, 32917}, {75, 3720}, {81, 16825}, {85, 61376}, {86, 17017}, {100, 29651}, {142, 25957}, {145, 71631}, {171, 26627}, {226, 25960}, {239, 62821}, {274, 10458}, {312, 30950}, {320, 72008}, {321, 26102}, {354, 3739}, {386, 6533}, {497, 53526}, {518, 26037}, {519, 62866}, {551, 4970}, {612, 32923}, {614, 10436}, {726, 25501}, {740, 29814}, {748, 894}, {750, 3757}, {870, 873}, {940, 32914}, {942, 31339}, {968, 32845}, {976, 56766}, {978, 71619}, {985, 70450}, {1001, 4418}, {1010, 19805}, {1086, 32776}, {1125, 24165}, {1211, 25557}, {1279, 72201}, {1468, 16817}, {1621, 3980}, {1698, 4981}, {1757, 71987}, {1961, 3891}, {1962, 3210}, {1999, 9345}, {2887, 27186}, {3159, 31318}, {3187, 4038}, {3305, 32938}, {3306, 32918}, {3315, 29652}, {3624, 25591}, {3634, 62868}, {3662, 69294}, {3681, 49479}, {3696, 4883}, {3703, 17245}, {3706, 4688}, {3711, 72091}, {3726, 17303}, {3741, 64149}, {3742, 30942}, {3748, 71451}, {3772, 29845}, {3791, 14996}, {3826, 33117}, {3836, 29667}, {3846, 31019}, {3848, 30818}, {3914, 24199}, {3917, 17049}, {3923, 5284}, {3925, 33120}, {3938, 71981}, {3944, 25378}, {3953, 19858}, {3961, 71983}, {3966, 4675}, {3979, 71927}, {3989, 4687}, {3993, 50106}, {3995, 49493}, {3996, 67209}, {4026, 33125}, {4138, 5249}, {4358, 25502}, {4362, 37633}, {4363, 4423}, {4384, 32864}, {4387, 17118}, {4388, 26806}, {4389, 6536}, {4425, 33146}, {4429, 29685}, {4430, 49457}, {4514, 71989}, {4648, 33088}, {4650, 71478}, {4651, 49490}, {4655, 26842}, {4661, 49491}, {4663, 71920}, {4666, 32943}, {4684, 70516}, {4697, 17127}, {4699, 10453}, {4703, 17483}, {4722, 17349}, {4734, 21806}, {4739, 4891}, {4751, 17449}, {4850, 43223}, {4854, 7263}, {4860, 5737}, {4886, 71941}, {4974, 37685}, {5014, 71991}, {5268, 32927}, {5271, 32919}, {5272, 32944}, {5278, 32913}, {5287, 32928}, {5297, 32920}, {5311, 32922}, {5333, 29644}, {5437, 29828}, {5573, 29826}, {5743, 33065}, {5750, 26242}, {5880, 32947}, {6703, 29636}, {7081, 17124}, {7191, 50302}, {7292, 25496}, {7321, 33098}, {7988, 59637}, {8728, 36568}, {9776, 26034}, {9812, 59620}, {10009, 18059}, {10479, 58565}, {10582, 25590}, {11220, 45305}, {12263, 29612}, {15523, 17234}, {15569, 42051}, {15668, 17599}, {16353, 54326}, {16476, 70143}, {16484, 32929}, {16569, 46897}, {16614, 21827}, {16703, 17175}, {16706, 29647}, {16709, 17187}, {16815, 54352}, {16832, 62823}, {17019, 32921}, {17056, 29849}, {17061, 29847}, {17122, 26227}, {17123, 26223}, {17125, 27064}, {17169, 70153}, {17244, 69295}, {17277, 32912}, {17278, 29850}, {17289, 29677}, {17300, 32852}, {17321, 69015}, {17348, 71923}, {17359, 70494}, {17365, 41002}, {17379, 71184}, {17381, 29684}, {17398, 41269}, {17469, 70484}, {17490, 46904}, {17495, 17592}, {17763, 37674}, {17860, 40624}, {18134, 69252}, {18139, 32778}, {19684, 29821}, {19717, 68958}, {19808, 24943}, {19872, 59666}, {19876, 59669}, {20598, 25505}, {20909, 24666}, {21342, 31238}, {21352, 31997}, {21805, 26038}, {21840, 63055}, {24174, 26115}, {24342, 24552}, {24353, 69728}, {24551, 26538}, {24620, 59297}, {24693, 33110}, {24789, 29631}, {25055, 69539}, {25385, 72013}, {25453, 26724}, {26040, 53552}, {26580, 33103}, {27003, 32916}, {27065, 32935}, {27147, 29641}, {27268, 71465}, {29635, 33129}, {29638, 72216}, {29642, 32779}, {29643, 69091}, {29653, 33089}, {29655, 33108}, {29661, 32851}, {29665, 58443}, {29672, 59628}, {29673, 72014}, {29817, 32941}, {29829, 33132}, {29830, 33160}, {29835, 32865}, {29837, 33128}, {29843, 33136}, {29851, 32777}, {29857, 41867}, {30090, 70501}, {30957, 44417}, {32773, 69253}, {32782, 49676}, {32784, 69251}, {32850, 71993}, {32859, 72010}, {32861, 63056}, {32863, 50308}, {32925, 44307}, {32932, 62849}, {33064, 72000}, {33066, 72012}, {33067, 50295}, {33087, 56810}, {33111, 69134}, {33114, 71996}, {33118, 71998}, {33121, 71994}, {33122, 72004}, {33124, 72002}, {33126, 72006}, {33145, 48627}, {33169, 69250}, {33171, 38053}, {33779, 56696}, {33930, 70149}, {36480, 62814}, {37520, 72199}, {39586, 62833}, {41011, 50116}, {41711, 72088}, {42044, 50117}, {42819, 71452}, {43531, 69268}, {46909, 59312}, {49445, 72052}, {49458, 62863}, {49477, 62801}, {49478, 72162}, {49484, 72159}, {49709, 72037}, {49728, 52783}, {50023, 62807}, {50305, 63134}, {53553, 59736}, {53663, 60423}, {54331, 54392}, {59624, 67335}, {62236, 72090}, {62795, 72208}, {62806, 72204}, {62831, 67983}, {62862, 71918}, {64070, 72094}, {67207, 71926}, {68999, 72160}, {69755, 71940}

X(72288) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4359, 32860}, {2, 7226, 3842}, {2, 17140, 984}, {2, 24325, 32771}, {2, 24349, 756}, {2, 32771, 32931}, {75, 3720, 32915}, {354, 3739, 31330}, {551, 4970, 62840}, {614, 10436, 32772}, {982, 40328, 2}, {1125, 24165, 28606}, {1211, 25557, 33069}, {1698, 62865, 4981}, {3210, 3616, 1962}, {3696, 4883, 72164}, {3703, 17245, 29854}, {3742, 31993, 30942}, {3842, 42055, 7226}, {3966, 4675, 32949}, {3980, 24331, 1621}, {4026, 40688, 33125}, {4363, 4423, 32930}, {4384, 62819, 32864}, {4666, 50314, 32943}, {4699, 10453, 21020}, {9776, 39581, 26034}, {17450, 21020, 10453}, {24342, 29820, 24552}, {29672, 59628, 72213}, {44307, 49483, 32925}, {49479, 71977, 3681}

X(72289) = X(1)X(3996)∩X(2)X(38)

X(72289) lies on these lines: {1, 3996}, {2, 38}, {7, 4703}, {10, 354}, {31, 26627}, {37, 24165}, {42, 24589}, {44, 71518}, {55, 24331}, {75, 26102}, {81, 4974}, {86, 9277}, {142, 2887}, {171, 16823}, {210, 49479}, {238, 4697}, {239, 4038}, {274, 9401}, {312, 25502}, {320, 72010}, {321, 30950}, {518, 71977}, {519, 4457}, {551, 37593}, {614, 50302}, {726, 44307}, {740, 3720}, {748, 4672}, {873, 59622}, {894, 17123}, {940, 3791}, {1001, 3980}, {1086, 4425}, {1100, 4771}, {1111, 16708}, {1125, 3666}, {1211, 49676}, {1279, 72204}, {1376, 29651}, {1699, 59620}, {1961, 32922}, {1962, 17495}, {2886, 34824}, {3011, 58443}, {3121, 72141}, {3175, 50117}, {3187, 9345}, {3218, 59624}, {3290, 5750}, {3305, 32935}, {3306, 32916}, {3434, 24693}, {3616, 17490}, {3622, 4734}, {3624, 17591}, {3634, 3999}, {3636, 4706}, {3670, 25512}, {3677, 39586}, {3681, 49491}, {3696, 42057}, {3705, 27147}, {3716, 69011}, {3725, 49997}, {3739, 3741}, {3740, 72241}, {3745, 50023}, {3748, 71450}, {3752, 43223}, {3757, 4434}, {3816, 25385}, {3819, 17049}, {3821, 40688}, {3826, 29673}, {3836, 28595}, {3840, 31993}, {3846, 4892}, {3848, 4871}, {3873, 26037}, {3923, 4423}, {3925, 29655}, {3938, 71983}, {3953, 16828}, {3971, 49483}, {3976, 19853}, {3979, 71926}, {3993, 42051}, {3995, 28516}, {4003, 19862}, {4011, 4363}, {4026, 24169}, {4046, 49764}, {4090, 61686}, {4104, 5542}, {4135, 51060}, {4362, 37674}, {4369, 27799}, {4384, 32853}, {4413, 29670}, {4418, 4432}, {4430, 49449}, {4472, 25368}, {4514, 71991}, {4651, 62867}, {4666, 32941}, {4675, 32946}, {4683, 26842}, {4685, 49478}, {4688, 62226}, {4732, 17135}, {4751, 59312}, {4755, 71465}, {4772, 70152}, {4860, 19732}, {4966, 21085}, {4970, 15569}, {4972, 25351}, {4975, 46895}, {4981, 17449}, {5014, 71993}, {5235, 65112}, {5241, 69299}, {5259, 24850}, {5263, 29820}, {5268, 32920}, {5272, 10436}, {5287, 32921}, {5294, 31289}, {5297, 32923}, {5311, 49472}, {5625, 17011}, {5743, 25557}, {6685, 16610}, {6703, 29654}, {7192, 60529}, {7292, 32772}, {7321, 33099}, {8025, 68958}, {8033, 39044}, {9776, 50295}, {10167, 45305}, {10171, 59637}, {10582, 50314}, {10980, 16832}, {11019, 21242}, {15668, 29644}, {16454, 28082}, {16484, 32932}, {16579, 16598}, {16584, 16604}, {16709, 18169}, {16739, 17175}, {16817, 37607}, {16826, 17600}, {16830, 17598}, {17017, 50293}, {17019, 32924}, {17021, 32928}, {17045, 59477}, {17056, 71085}, {17124, 26227}, {17125, 26223}, {17147, 71874}, {17155, 49456}, {17234, 32778}, {17244, 33092}, {17245, 29653}, {17263, 33164}, {17277, 32913}, {17278, 25453}, {17289, 72003}, {17300, 32861}, {17348, 71925}, {17597, 36480}, {17724, 59726}, {17770, 41002}, {18139, 69252}, {18201, 38000}, {19313, 54326}, {19701, 29650}, {19808, 29637}, {20108, 64432}, {20174, 67024}, {21020, 29824}, {22011, 25089}, {24177, 50290}, {24199, 24210}, {24342, 32942}, {24550, 26632}, {24697, 26840}, {24789, 29635}, {25106, 31238}, {25123, 53039}, {25375, 26105}, {25508, 35623}, {25526, 69268}, {25590, 62697}, {25760, 27186}, {25960, 31019}, {25961, 29667}, {26040, 36479}, {26724, 29631}, {26806, 33097}, {27003, 32917}, {27065, 32940}, {27635, 71619}, {29672, 72216}, {29814, 32860}, {29817, 32945}, {29837, 33132}, {29843, 32865}, {29845, 33129}, {29851, 32779}, {29853, 72213}, {29854, 33089}, {31253, 59666}, {31330, 64149}, {31336, 31348}, {32859, 72012}, {32912, 71987}, {32914, 37633}, {32938, 35595}, {33069, 72000}, {33114, 71998}, {33120, 72014}, {33121, 71996}, {33122, 72006}, {33124, 72004}, {33154, 48627}, {33891, 51575}, {33944, 70149}, {36574, 37153}, {37520, 71489}, {37595, 49477}, {40592, 50378}, {41839, 49493}, {42028, 69632}, {42819, 71918}, {46909, 59306}, {49473, 71979}, {49489, 62821}, {49490, 59296}, {49511, 70972}, {49709, 72039}, {50096, 72163}, {50298, 54311}, {50315, 70516}, {55095, 70219}, {56191, 70433}, {56805, 59509}, {62236, 72088}, {62862, 71451}, {62866, 72162}, {67209, 71927}, {69251, 69294}

X(72289) = midpoint of X(i) and X(j) for these {i,j}: {1, 4714}, {756, 17140}, {3720, 4359}, {4651, 62867}
X(72289) = reflection of X(72054) in X(44307)
X(72289) = complement of X(756)
X(72289) = complement of the isogonal conjugate of X(757)
X(72289) = complement of the isotomic conjugate of X(873)
X(72289) = X(i)-complementary conjugate of X(j) for these (i,j): {6, 6537}, {7, 34829}, {28, 50036}, {56, 71238}, {58, 1213}, {60, 9}, {81, 1211}, {86, 3454}, {99, 31946}, {110, 661}, {244, 24040}, {249, 4422}, {250, 65808}, {261, 1329}, {270, 20262}, {274, 21245}, {284, 38930}, {552, 2886}, {593, 2}, {649, 6627}, {662, 4129}, {757, 10}, {763, 3739}, {849, 37}, {873, 2887}, {1014, 442}, {1015, 23991}, {1019, 8287}, {1101, 24036}, {1169, 52538}, {1171, 41809}, {1333, 16589}, {1408, 2092}, {1412, 17056}, {1434, 17052}, {1437, 18591}, {1444, 21530}, {1509, 141}, {1576, 52592}, {1790, 440}, {2150, 1212}, {2185, 3452}, {2189, 46835}, {2206, 21838}, {3004, 72122}, {3733, 115}, {4556, 514}, {4558, 52599}, {4565, 1577}, {4590, 27076}, {4591, 59737}, {4599, 29512}, {4610, 3835}, {4612, 20317}, {4623, 21260}, {4627, 48551}, {4636, 4521}, {4977, 65787}, {5009, 35068}, {6061, 5574}, {6064, 3038}, {6578, 4977}, {6628, 3741}, {7054, 6554}, {7192, 125}, {7199, 21253}, {7203, 8286}, {7254, 15526}, {7303, 3846}, {7304, 21250}, {7305, 59511}, {7341, 1}, {7342, 17053}, {15419, 127}, {17939, 2511}, {23357, 23988}, {24041, 24003}, {30576, 16594}, {33295, 45162}, {36066, 3837}, {36069, 1639}, {36419, 13567}, {36420, 3767}, {40432, 46826}, {43925, 6388}, {43926, 1648}, {46103, 41883}, {52375, 5949}, {52379, 21244}, {52558, 3634}, {52612, 21262}, {52619, 53575}, {52920, 14298}, {52935, 513}, {57129, 16592}, {57949, 21240}, {57992, 21235}, {58982, 68794}, {61407, 21248}, {62535, 48049}, {62670, 30436}, {64457, 44417}, {65255, 69310}, {65258, 21261}, {65281, 6371}, {65283, 53574}, {65575, 5514}, {68197, 52586}, {69825, 121}, {69828, 34846}, {69887, 46842}, {70665, 26582}
X(72289) = X(i)-Ceva conjugate of X(j) for these (i,j): {42363, 514}, {65285, 812}
X(72289) = X(23823)-Dao conjugate of X(17166)
X(72289) = crosspoint of X(2) and X(873)
X(72289) = crosssum of X(6) and X(872)
X(72289) = barycentric product X(85)*X(71288)
X(72289) = barycentric quotient X(71288)/X(9)
X(72289) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 38, 3842}, {2, 244, 6682}, {2, 1215, 24003}, {2, 17140, 756}, {2, 24325, 1215}, {2, 31178, 42056}, {2, 32771, 59511}, {940, 16825, 3791}, {1125, 3666, 10180}, {1125, 24176, 3743}, {1125, 67983, 6051}, {3616, 17490, 17592}, {3670, 25512, 58386}, {3739, 3741, 27798}, {3739, 3742, 3741}, {3757, 17122, 4434}, {3842, 42053, 38}, {3846, 5249, 4892}, {3848, 44417, 4871}, {3873, 26037, 49457}, {4363, 8167, 4011}, {4418, 5284, 4432}, {5272, 10436, 25496}, {5743, 25557, 33064}, {8025, 68958, 71184}, {17063, 40328, 2}, {17245, 69091, 29653}, {24165, 25501, 37}, {24325, 59511, 32771}, {29814, 32860, 49471}, {32771, 59511, 1215}

X(72290) = X(1)X(3952)∩X(2)X(7)

X(72290) lies on these lines: {1, 3952}, {2, 7}, {6, 4358}, {10, 33104}, {11, 33114}, {31, 4434}, {38, 70942}, {42, 4011}, {43, 32929}, {44, 1150}, {72, 5192}, {75, 37680}, {78, 11319}, {81, 18743}, {88, 31233}, {92, 55990}, {100, 4676}, {145, 53661}, {190, 4850}, {192, 17012}, {210, 24552}, {238, 26227}, {239, 4671}, {244, 32935}, {306, 63010}, {312, 3187}, {320, 71999}, {321, 4361}, {341, 62804}, {344, 63008}, {345, 63090}, {354, 71982}, {518, 71978}, {614, 17165}, {748, 1215}, {750, 4672}, {756, 25496}, {899, 3923}, {936, 11115}, {964, 5044}, {982, 32938}, {984, 32944}, {996, 71094}, {1001, 46897}, {1125, 72034}, {1191, 4696}, {1279, 72022}, {1333, 30905}, {1386, 4009}, {1468, 25079}, {1707, 71479}, {1722, 17164}, {1743, 16704}, {1757, 30942}, {1864, 27394}, {1997, 63078}, {1999, 63074}, {2177, 4432}, {2308, 29649}, {2345, 63003}, {2550, 71102}, {2999, 17147}, {3008, 4054}, {3210, 17020}, {3240, 3685}, {3315, 49499}, {3501, 61173}, {3618, 29833}, {3661, 37656}, {3671, 25967}, {3677, 20068}, {3681, 32942}, {3689, 71912}, {3699, 71873}, {3701, 16466}, {3705, 33166}, {3706, 71932}, {3711, 48805}, {3715, 4981}, {3717, 29832}, {3729, 17495}, {3740, 71979}, {3744, 59596}, {3745, 59506}, {3751, 29824}, {3752, 32933}, {3758, 30829}, {3790, 32842}, {3836, 24725}, {3840, 32912}, {3846, 26061}, {3868, 13741}, {3873, 71980}, {3875, 62227}, {3876, 13740}, {3886, 19998}, {3891, 3967}, {3896, 4387}, {3912, 31034}, {3920, 27538}, {3932, 33070}, {3936, 17279}, {3938, 4090}, {3944, 29850}, {3961, 72198}, {3966, 69296}, {3971, 17017}, {3977, 59579}, {3979, 72159}, {3989, 29650}, {3992, 62828}, {3993, 67211}, {3994, 32921}, {3995, 5256}, {4133, 49986}, {4150, 14555}, {4202, 58798}, {4298, 25881}, {4359, 17118}, {4363, 24589}, {4384, 31025}, {4388, 29679}, {4392, 62222}, {4393, 71418}, {4415, 32774}, {4417, 33157}, {4418, 16569}, {4422, 5718}, {4425, 29663}, {4429, 5057}, {4552, 56418}, {4641, 71984}, {4663, 71933}, {4679, 38047}, {4683, 33174}, {4697, 17124}, {4702, 21870}, {4703, 32781}, {4737, 62848}, {4756, 49447}, {4849, 71929}, {4855, 17539}, {4865, 69298}, {4871, 71521}, {4972, 24703}, {5014, 72231}, {5205, 17126}, {5220, 46909}, {5222, 70857}, {5233, 17354}, {5235, 17335}, {5241, 17369}, {5247, 25591}, {5263, 63961}, {5264, 59666}, {5268, 70482}, {5272, 17140}, {5278, 44417}, {5287, 19717}, {5297, 70419}, {5311, 59517}, {5423, 20020}, {5524, 71451}, {5710, 52353}, {5741, 32777}, {5880, 24988}, {6542, 72186}, {6745, 35263}, {7081, 17127}, {7174, 29823}, {7191, 32937}, {7262, 32918}, {7290, 20045}, {7292, 24349}, {8025, 17022}, {9330, 16830}, {9458, 56010}, {9579, 17690}, {11174, 70092}, {11346, 24929}, {11679, 19742}, {11680, 33118}, {11814, 71997}, {12514, 26030}, {12572, 17676}, {14996, 17120}, {15297, 26095}, {16468, 17763}, {16549, 27070}, {16610, 17351}, {16669, 71916}, {16706, 33151}, {16777, 69505}, {16831, 19740}, {16885, 37660}, {17011, 41839}, {17013, 17319}, {17016, 19582}, {17021, 17379}, {17063, 32940}, {17123, 32771}, {17125, 24325}, {17228, 31143}, {17244, 17499}, {17262, 69539}, {17280, 33077}, {17284, 31017}, {17289, 72000}, {17296, 63071}, {17308, 27081}, {17336, 62796}, {17339, 32849}, {17340, 50105}, {17352, 33129}, {17366, 50102}, {17367, 30578}, {17674, 57282}, {17697, 34772}, {17717, 33115}, {17718, 24542}, {17720, 30566}, {17740, 54389}, {17743, 18359}, {17751, 54386}, {17766, 72038}, {17770, 72007}, {17776, 63089}, {17777, 33134}, {18054, 18140}, {18744, 32782}, {19684, 28639}, {19738, 37595}, {19743, 62808}, {19785, 56084}, {19804, 37687}, {20182, 72052}, {20927, 62305}, {21093, 33143}, {21245, 41809}, {21283, 49772}, {21747, 62659}, {21805, 32941}, {23617, 63068}, {24169, 33098}, {24217, 24709}, {24277, 72062}, {24295, 72002}, {24594, 31197}, {24597, 28808}, {24943, 69299}, {25253, 54418}, {25385, 71994}, {25453, 69173}, {25531, 64149}, {25760, 33159}, {25957, 33096}, {25960, 32780}, {25961, 33097}, {26094, 62858}, {26098, 69250}, {26251, 50295}, {26637, 55942}, {26670, 69765}, {26694, 47676}, {27040, 54406}, {27132, 37648}, {27385, 56781}, {27754, 41138}, {28289, 70414}, {28605, 63096}, {28748, 69847}, {28809, 41233}, {29004, 47663}, {29637, 33065}, {29638, 72030}, {29641, 33107}, {29655, 71992}, {29656, 72028}, {29672, 72032}, {29673, 71988}, {29674, 32843}, {29677, 33064}, {29687, 32946}, {29821, 32925}, {29828, 71478}, {29835, 59406}, {29848, 72025}, {29849, 33164}, {29852, 33152}, {30567, 37639}, {30690, 55988}, {30824, 31187}, {30861, 37684}, {30957, 32913}, {31030, 31183}, {31137, 72065}, {31179, 41310}, {31317, 70910}, {31993, 71987}, {32844, 33165}, {32850, 72222}, {32851, 37651}, {32854, 69297}, {32858, 62998}, {32859, 69092}, {32862, 33071}, {32920, 71630}, {33066, 33172}, {33069, 72003}, {33088, 69301}, {33099, 33125}, {33101, 33123}, {33106, 33117}, {33113, 37662}, {33120, 71990}, {33121, 72013}, {33122, 72219}, {33126, 72210}, {33161, 71085}, {33163, 69134}, {33761, 72053}, {33935, 69861}, {34255, 63009}, {34747, 65024}, {36791, 69245}, {36863, 70719}, {37520, 71638}, {37663, 44416}, {37685, 46938}, {37759, 63051}, {40612, 41771}, {41011, 62673}, {46937, 57280}, {49473, 72241}, {49484, 71927}, {49498, 72097}, {49536, 49989}, {49676, 72005}, {49721, 70992}, {49990, 51196}, {49991, 63969}, {50000, 51192}, {50126, 62296}, {50289, 60459}, {50307, 60423}, {50322, 57284}, {54315, 69493}, {56318, 69267}, {56782, 64002}, {59667, 70535}, {59726, 72027}, {61686, 71983}, {62795, 71985}, {62806, 72020}, {64070, 72083}, {67207, 71414}, {69233, 70944}, {69241, 70478}, {70219, 71924}

X(72290) = barycentric product X(75)*X(37610)
X(72290) = barycentric quotient X(37610)/X(1)
X(72290) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 329, 17184}, {2, 894, 26627}, {2, 5905, 69251}, {2, 17350, 3218}, {2, 17484, 3662}, {2, 23958, 27002}, {2, 26791, 27131}, {2, 26792, 27184}, {2, 27064, 26223}, {2, 31018, 26580}, {2, 70742, 3219}, {43, 32930, 32929}, {44, 30818, 1150}, {238, 32931, 26227}, {312, 32911, 3187}, {908, 17353, 2}, {982, 32938, 71793}, {2999, 56082, 17147}, {3452, 5294, 2}, {3758, 30829, 37633}, {3840, 71515, 32912}, {3952, 70483, 1}, {4090, 72206, 3938}, {4358, 41241, 6}, {4671, 14997, 239}, {4672, 24003, 750}, {5233, 17354, 32779}, {5256, 30568, 3995}, {7191, 32937, 71794}, {17280, 63002, 33077}, {17350, 27017, 44421}, {17740, 63126, 62620}, {26223, 26627, 894}, {26223, 26688, 2}, {27538, 70481, 3920}, {30852, 56519, 2}, {30861, 71635, 37684}, {32937, 70485, 7191}, {37680, 41242, 75}, {54389, 63126, 17740}, {71414, 71634, 67207}

X(72291) = X(1)X(596)∩X(2)X(7)

X(72291) lies on these lines: {1, 596}, {2, 7}, {6, 4359}, {8, 4340}, {10, 4001}, {31, 4697}, {37, 32933}, {38, 50302}, {42, 3980}, {44, 71987}, {46, 26115}, {69, 19822}, {72, 16454}, {75, 81}, {78, 19284}, {85, 40394}, {86, 18601}, {89, 5372}, {92, 1396}, {149, 29843}, {165, 43169}, {171, 26227}, {192, 17019}, {210, 71983}, {222, 1441}, {239, 20893}, {244, 25496}, {274, 61409}, {306, 3664}, {312, 37633}, {319, 19797}, {320, 19808}, {321, 940}, {333, 62795}, {354, 24552}, {394, 1231}, {474, 22458}, {518, 71979}, {536, 37595}, {561, 8033}, {593, 17103}, {612, 17165}, {726, 5311}, {740, 62821}, {748, 4672}, {750, 1215}, {756, 32935}, {870, 71447}, {873, 33764}, {902, 29651}, {942, 964}, {950, 50322}, {968, 4427}, {969, 63057}, {975, 56318}, {982, 32772}, {984, 32940}, {1010, 3868}, {1046, 31339}, {1086, 32774}, {1100, 42051}, {1125, 72028}, {1150, 31993}, {1211, 17365}, {1255, 4664}, {1267, 16513}, {1278, 58820}, {1376, 46897}, {1448, 19860}, {1449, 45222}, {1468, 49598}, {1509, 33935}, {1707, 71478}, {1748, 17913}, {1757, 26037}, {1892, 24989}, {1909, 19811}, {1961, 32925}, {1962, 32934}, {1993, 23124}, {1999, 10447}, {2308, 16825}, {2895, 17364}, {2975, 5323}, {2994, 56044}, {3120, 29635}, {3210, 17011}, {3419, 50171}, {3434, 29835}, {3488, 50061}, {3578, 17275}, {3589, 40688}, {3616, 26728}, {3661, 32863}, {3663, 69544}, {3666, 4376}, {3670, 43531}, {3677, 29823}, {3679, 72070}, {3681, 71981}, {3685, 29814}, {3687, 31034}, {3696, 71936}, {3705, 33112}, {3706, 71933}, {3719, 27514}, {3720, 3923}, {3729, 3995}, {3731, 25734}, {3739, 4641}, {3742, 71978}, {3744, 72017}, {3745, 3891}, {3748, 71912}, {3751, 4651}, {3757, 17126}, {3758, 19804}, {3765, 4754}, {3782, 6703}, {3791, 62846}, {3821, 29647}, {3836, 26061}, {3846, 24725}, {3873, 5263}, {3875, 26860}, {3876, 56766}, {3879, 20017}, {3883, 20064}, {3914, 29829}, {3916, 16342}, {3920, 24349}, {3925, 33114}, {3927, 16458}, {3938, 49479}, {3940, 19290}, {3944, 29845}, {3952, 5268}, {3969, 4851}, {3979, 71451}, {3984, 19337}, {3998, 5736}, {4011, 30950}, {4026, 11246}, {4038, 32915}, {4054, 39595}, {4292, 17676}, {4296, 6360}, {4344, 19993}, {4358, 37674}, {4360, 42028}, {4383, 24589}, {4384, 19742}, {4393, 40902}, {4414, 43223}, {4416, 63100}, {4425, 33098}, {4431, 50292}, {4514, 72225}, {4643, 41809}, {4644, 5739}, {4645, 29667}, {4648, 17776}, {4649, 32860}, {4650, 32917}, {4652, 16347}, {4655, 69294}, {4658, 64184}, {4660, 29685}, {4663, 71932}, {4675, 18139}, {4676, 5284}, {4687, 33761}, {4688, 71916}, {4699, 37652}, {4747, 63007}, {4883, 49484}, {4888, 31017}, {4911, 33736}, {4967, 31303}, {4968, 5711}, {4970, 67208}, {4972, 5880}, {4980, 17118}, {5014, 72228}, {5016, 49745}, {5051, 57282}, {5192, 5439}, {5256, 17495}, {5269, 20045}, {5271, 16704}, {5272, 70483}, {5297, 32937}, {5333, 41847}, {5391, 16512}, {5440, 19336}, {5564, 19833}, {5712, 17740}, {6327, 50307}, {6542, 72196}, {6763, 19858}, {7174, 20068}, {7191, 70419}, {7226, 16830}, {7229, 34255}, {7262, 40328}, {7292, 70481}, {7321, 19786}, {9317, 41252}, {9347, 32926}, {10319, 68912}, {10455, 27163}, {11220, 13727}, {11319, 54392}, {11679, 31025}, {11684, 31359}, {12433, 50391}, {12649, 50408}, {13728, 24470}, {15933, 51592}, {15934, 16394}, {16393, 24929}, {16397, 30282}, {16602, 24594}, {16606, 27434}, {16608, 26542}, {16823, 17127}, {16884, 70995}, {16915, 40744}, {17012, 17490}, {17017, 24165}, {17018, 32932}, {17020, 24620}, {17021, 41839}, {17022, 31035}, {17056, 33113}, {17063, 32944}, {17074, 69765}, {17117, 63039}, {17120, 63074}, {17121, 63095}, {17122, 32931}, {17124, 59511}, {17135, 50314}, {17146, 62850}, {17150, 62845}, {17154, 62833}, {17156, 17163}, {17175, 62817}, {17234, 33157}, {17262, 72052}, {17271, 62586}, {17289, 33172}, {17300, 32858}, {17304, 63584}, {17314, 50043}, {17317, 42033}, {17348, 63060}, {17351, 44307}, {17363, 20086}, {17369, 69092}, {17376, 50052}, {17392, 50105}, {17394, 42025}, {17449, 29652}, {17499, 29576}, {17539, 62829}, {17588, 31424}, {17589, 54422}, {17592, 32845}, {17594, 29822}, {17603, 27394}, {17716, 31178}, {17736, 70473}, {17750, 20913}, {17763, 37604}, {17766, 72037}, {17770, 72008}, {17771, 70972}, {17778, 33077}, {17811, 25001}, {17863, 19716}, {17889, 29631}, {18044, 40013}, {18134, 32779}, {18164, 26819}, {18193, 29826}, {18541, 50056}, {18743, 41242}, {19281, 20880}, {19313, 26867}, {19645, 64126}, {19734, 20891}, {19785, 29833}, {19789, 31995}, {19826, 52709}, {19874, 41229}, {20011, 63131}, {20043, 62997}, {20182, 69539}, {20292, 32773}, {20602, 30107}, {20882, 28916}, {20908, 21758}, {20950, 69904}, {21020, 32853}, {21085, 71941}, {21369, 68950}, {21375, 24220}, {22129, 24993}, {23151, 41249}, {23812, 29671}, {24169, 29663}, {24199, 26723}, {24295, 29677}, {24326, 69024}, {24342, 31330}, {24635, 54107}, {24943, 49676}, {25385, 29662}, {25417, 29584}, {25453, 69253}, {25760, 33097}, {25957, 32780}, {25960, 33096}, {25961, 33159}, {26035, 69217}, {26040, 71102}, {26098, 69134}, {26102, 32930}, {26131, 69279}, {26637, 62798}, {26643, 40571}, {26652, 47676}, {28604, 37653}, {28960, 47755}, {29598, 63583}, {29617, 41821}, {29633, 33125}, {29634, 33148}, {29636, 33147}, {29638, 72026}, {29641, 33170}, {29643, 33167}, {29644, 46901}, {29645, 33143}, {29653, 33161}, {29655, 33104}, {29656, 72027}, {29659, 32948}, {29673, 71989}, {29816, 49455}, {29820, 72198}, {29828, 71479}, {29830, 59692}, {29837, 33134}, {29841, 33155}, {29847, 33152}, {29848, 72029}, {29853, 72025}, {29854, 33164}, {30579, 41930}, {30690, 56046}, {30807, 55406}, {30818, 71986}, {31296, 69828}, {31997, 62813}, {32775, 33103}, {32776, 32857}, {32778, 32949}, {32783, 33069}, {32784, 33067}, {32914, 62841}, {32922, 62807}, {32928, 49493}, {32941, 62867}, {32942, 64149}, {32945, 49490}, {32946, 64164}, {33064, 59628}, {33065, 72004}, {33066, 72000}, {33070, 69091}, {33072, 33169}, {33073, 33089}, {33090, 50289}, {33108, 33121}, {33109, 33120}, {33111, 33119}, {33117, 71991}, {33118, 72014}, {33122, 72216}, {33124, 72213}, {33150, 48627}, {33163, 69250}, {33168, 37635}, {33930, 41258}, {34064, 42044}, {34261, 42715}, {34284, 41233}, {34379, 70516}, {37520, 44417}, {37543, 69734}, {37679, 41241}, {40214, 59631}, {41311, 41850}, {42058, 50305}, {42819, 71909}, {46103, 51354}, {49450, 72082}, {49470, 64010}, {49473, 62869}, {49478, 71929}, {49492, 66687}, {49497, 71631}, {49498, 72094}, {49722, 62229}, {49727, 50102}, {50288, 71796}, {50299, 71795}, {50313, 69298}, {50697, 64700}, {51669, 63159}, {52134, 59509}, {55095, 71913}, {55990, 64995}, {59726, 72033}, {62226, 71922}, {62620, 63089}, {62806, 72016}, {62831, 63996}, {62862, 71911}, {62866, 68969}, {63147, 64174}, {64070, 72084}, {65302, 68206}, {67207, 71450}, {67209, 71918}, {68999, 71935}, {69224, 70409}, {69299, 72006}, {71521, 71977}

X(72291) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {59069, 693}, {59760, 21287}
X(72291) = crossdifference of every pair of points on line {663, 50481}
X(72291) = barycentric product X(i)*X(j) for these {i,j}: {57, 19807}, {75, 37522}
X(72291) = barycentric quotient X(i)/X(j) for these {i,j}: {19807, 312}, {37522, 1}
X(72291) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4418, 32929}, {2, 7, 17184}, {2, 894, 26223}, {2, 5905, 26580}, {2, 17350, 27065}, {2, 17483, 27184}, {2, 20078, 17257}, {2, 23958, 24627}, {2, 26806, 27186}, {2, 26842, 3662}, {2, 27064, 26688}, {2, 67335, 38000}, {2, 70742, 35595}, {7, 56367, 56559}, {10, 62240, 4001}, {10, 71518, 32912}, {63, 10436, 2}, {69, 19822, 56810}, {75, 81, 3187}, {86, 32939, 28606}, {142, 5294, 2}, {171, 32771, 26227}, {306, 3664, 63056}, {320, 19808, 32782}, {553, 5750, 54311}, {940, 4363, 321}, {984, 32940, 71793}, and many others

X(72292) = X(1)X(4090)∩X(2)X(7)

X(72292) lies on these lines: {1, 4090}, {2, 7}, {6, 18743}, {8, 66647}, {10, 33106}, {11, 33118}, {31, 5205}, {40, 26029}, {43, 3685}, {44, 14829}, {65, 25965}, {72, 13741}, {75, 37679}, {78, 17697}, {81, 645}, {92, 55988}, {145, 5423}, {171, 24003}, {190, 3752}, {192, 2999}, {210, 32942}, {223, 41771}, {228, 35992}, {238, 7081}, {239, 312}, {244, 32938}, {306, 17268}, {320, 72001}, {321, 17117}, {333, 30818}, {341, 1191}, {344, 63089}, {345, 17339}, {354, 25531}, {404, 23205}, {518, 71980}, {595, 59666}, {612, 70481}, {614, 32937}, {748, 3757}, {756, 32944}, {846, 72051}, {893, 6651}, {899, 32930}, {936, 4195}, {940, 17120}, {982, 62222}, {984, 70942}, {1046, 46827}, {1050, 1201}, {1107, 16826}, {1193, 56311}, {1211, 17292}, {1215, 16823}, {1220, 25917}, {1222, 45219}, {1255, 65057}, {1265, 50582}, {1279, 59596}, {1376, 4676}, {1386, 59506}, {1399, 55991}, {1475, 26113}, {1743, 30567}, {1757, 3840}, {1997, 37642}, {1999, 2300}, {3187, 14997}, {3210, 56082}, {3216, 7283}, {3600, 25879}, {3601, 56989}, {3618, 29841}, {3661, 14555}, {3666, 17261}, {3677, 31302}, {3681, 71978}, {3687, 17280}, {3689, 71911}, {3699, 3744}, {3706, 71931}, {3717, 29840}, {3729, 17490}, {3740, 5263}, {3741, 60731}, {3747, 25123}, {3749, 71529}, {3758, 37674}, {3759, 20942}, {3772, 17352}, {3816, 33121}, {3836, 33096}, {3846, 33159}, {3873, 71982}, {3876, 5192}, {3886, 59295}, {3912, 62998}, {3914, 17777}, {3920, 70483}, {3923, 16569}, {3932, 33071}, {3952, 7191}, {3957, 55372}, {3961, 72059}, {3967, 32922}, {3971, 29821}, {3975, 17752}, {3979, 71634}, {3980, 62711}, {3992, 5315}, {3994, 32924}, {3995, 17012}, {4000, 56084}, {4009, 32926}, {4201, 12572}, {4359, 37687}, {4360, 35652}, {4361, 42034}, {4370, 59583}, {4415, 16706}, {4417, 17279}, {4422, 33116}, {4429, 24703}, {4432, 60714}, {4440, 24177}, {4468, 26694}, {4473, 56078}, {4641, 71985}, {4645, 62673}, {4656, 17302}, {4663, 71930}, {4671, 63096}, {4672, 17122}, {4679, 32773}, {4703, 33174}, {4723, 62848}, {4737, 16483}, {4759, 59679}, {4849, 68969}, {4871, 32913}, {4886, 29615}, {4906, 24841}, {4970, 17779}, {4997, 41806}, {5044, 13740}, {5211, 63147}, {5222, 8055}, {5233, 32777}, {5241, 19808}, {5247, 25079}, {5250, 59299}, {5256, 17319}, {5268, 70419}, {5272, 24349}, {5284, 46897}, {5440, 13735}, {5524, 71918}, {5712, 17244}, {5737, 17335}, {5739, 17287}, {5741, 33157}, {5743, 17289}, {6542, 72188}, {6686, 17596}, {6763, 19847}, {7292, 17165}, {9535, 20606}, {9575, 17316}, {9812, 26047}, {10157, 13727}, {11019, 26139}, {11068, 29004}, {11679, 17349}, {11814, 71995}, {14557, 41779}, {14942, 17604}, {15485, 29670}, {16050, 27398}, {16349, 44306}, {16466, 41261}, {16468, 29649}, {16594, 37634}, {16602, 17351}, {16610, 32939}, {16669, 41629}, {16700, 71783}, {16815, 31993}, {16830, 25496}, {16834, 71418}, {17011, 31035}, {17017, 64178}, {17020, 17147}, {17021, 19717}, {17022, 17379}, {17033, 28809}, {17056, 17263}, {17063, 32935}, {17116, 19804}, {17125, 32771}, {17160, 22034}, {17266, 18134}, {17277, 44417}, {17288, 33066}, {17312, 17778}, {17348, 55095}, {17363, 34255}, {17364, 18141}, {17391, 63007}, {17499, 26109}, {17594, 59298}, {17598, 42054}, {17600, 72054}, {17755, 39929}, {17766, 72040}, {17770, 72009}, {17776, 63090}, {17785, 30823}, {18359, 55990}, {19582, 54418}, {19701, 29578}, {19786, 29630}, {19812, 47355}, {19827, 61344}, {19993, 53661}, {20020, 53673}, {20228, 32017}, {20229, 70686}, {20292, 24988}, {21093, 33147}, {21805, 32943}, {23544, 26752}, {24169, 33099}, {24295, 72004}, {24552, 63961}, {24725, 25961}, {24789, 29607}, {24929, 33309}, {25385, 71996}, {25430, 29570}, {25492, 62858}, {25610, 69233}, {25960, 26061}, {26012, 33837}, {26038, 50314}, {26093, 62874}, {26105, 29843}, {26364, 27512}, {26657, 34048}, {26687, 30854}, {26723, 37759}, {27020, 27251}, {27030, 27128}, {29584, 34064}, {29637, 69299}, {29638, 72032}, {29656, 72030}, {29668, 49448}, {29673, 71990}, {29677, 33065}, {29687, 32843}, {29848, 72028}, {29850, 69173}, {29853, 72034}, {30566, 33133}, {30578, 33150}, {30830, 41240}, {30947, 62819}, {30957, 32912}, {31183, 71775}, {31233, 70256}, {31289, 33130}, {32842, 69301}, {32844, 69298}, {32850, 72231}, {32851, 37663}, {32858, 63010}, {32859, 71999}, {32866, 69297}, {32923, 71630}, {32933, 62300}, {33064, 72003}, {33069, 72005}, {33107, 69250}, {33110, 71102}, {33113, 37651}, {33114, 72013}, {33117, 71988}, {33120, 71992}, {33126, 72219}, {33164, 71085}, {33166, 69134}, {33168, 62620}, {33833, 58798}, {33939, 69861}, {34772, 56983}, {35274, 40872}, {37542, 44720}, {37610, 68245}, {37646, 37758}, {38473, 71936}, {39044, 41318}, {40940, 62297}, {41011, 60423}, {41809, 46826}, {44416, 51415}, {45204, 59579}, {46938, 63074}, {49484, 71926}, {49498, 72095}, {49710, 72209}, {50025, 69759}, {50533, 71795}, {51575, 71466}, {52353, 62804}, {56046, 65029}, {59512, 70959}, {59686, 63969}, {59726, 72026}, {61686, 71981}, {62795, 71986}, {62806, 72022}, {62812, 71635}, {63484, 63490}, {64070, 72081}, {67207, 72159}, {68958, 71117}, {70219, 71925}, {70677, 71835}

X(72292) = cevapoint of X(9) and X(1050)
X(72292) = crossdifference of every pair of points on line {663, 50514}
X(72292) = barycentric product X(i)*X(j) for these {i,j}: {75, 37588}, {27805, 28005}
X(72292) = barycentric quotient X(i)/X(j) for these {i,j}: {28005, 4369}, {37588, 1}
X(72292) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 9, 38000}, {2, 329, 3662}, {2, 3218, 27002}, {2, 3219, 24627}, {2, 3305, 17260}, {2, 3452, 30867}, {2, 17350, 57}, {2, 17484, 69251}, {2, 26791, 908}, {2, 26792, 17184}, {2, 27064, 894}, {2, 27184, 17291}, {2, 31018, 27184}, {2, 70742, 63}, {43, 4011, 3685}, {238, 59511, 7081}, {312, 4383, 239}, {748, 32931, 3757}, {899, 32930, 32932}, {1215, 17123, 16823}, {1743, 30567, 37683}, {1999, 32911, 17121}, {2999, 30568, 192}, {3452, 17353, 2}, {3699, 72020, 3744}, {3729, 23511, 17490}, {4358, 32911, 1999}, {4422, 37662, 33116}, {4871, 71515, 32913}, {5256, 41839, 17319}, {5435, 28997, 40862}, {10436, 51780, 2}, {16466, 46937, 41261}, {17184, 26792, 69057}, {26105, 59406, 29843}, {27538, 70485, 1}, {30827, 56519, 2}, {30861, 37683, 30567}, {33066, 69092, 17288}, {34255, 63037, 17363}, {37687, 41242, 4359}, {59298, 71524, 17594}

X(72293) = X(1)X(3210)∩X(2)X(7)

X(72293) lies on these lines: {1, 3210}, {2, 7}, {6, 19804}, {8, 62819}, {10, 32913}, {21, 22060}, {31, 16823}, {37, 32939}, {38, 16830}, {58, 16817}, {65, 35614}, {72, 56766}, {75, 940}, {78, 56768}, {81, 239}, {85, 1407}, {86, 3666}, {89, 5361}, {141, 19808}, {145, 63131}, {165, 39553}, {171, 3757}, {189, 56044}, {190, 44307}, {191, 25512}, {192, 5287}, {228, 404}, {238, 4697}, {244, 1281}, {306, 17300}, {312, 4363}, {320, 1211}, {321, 17116}, {333, 3739}, {345, 4648}, {348, 26649}, {354, 5263}, {474, 20760}, {514, 24120}, {518, 71981}, {524, 4886}, {536, 34064}, {594, 19797}, {612, 24349}, {614, 70419}, {726, 1961}, {740, 4038}, {750, 7081}, {756, 32940}, {846, 1125}, {938, 50408}, {942, 1010}, {968, 988}, {980, 16826}, {982, 50302}, {1054, 6685}, {1086, 6703}, {1100, 42028}, {1203, 6533}, {1215, 5205}, {1220, 3812}, {1279, 72016}, {1282, 26073}, {1396, 54314}, {1426, 11109}, {1429, 59509}, {1441, 17074}, {1468, 16824}, {1473, 19310}, {1621, 37575}, {1654, 4001}, {1757, 71518}, {1848, 41874}, {1921, 8033}, {1930, 41251}, {1962, 32845}, {2049, 5708}, {2185, 59631}, {2221, 14621}, {2345, 18141}, {2482, 35076}, {2666, 21883}, {2999, 24620}, {3101, 18659}, {3120, 29845}, {3187, 14996}, {3337, 19863}, {3419, 48816}, {3434, 29843}, {3488, 51668}, {3550, 29651}, {3661, 19822}, {3664, 3687}, {3670, 25526}, {3673, 41236}, {3676, 26652}, {3681, 71983}, {3685, 3720}, {3696, 71935}, {3706, 38473}, {3729, 17022}, {3741, 24342}, {3742, 32942}, {3744, 72019}, {3745, 32922}, {3748, 71910}, {3751, 59296}, {3752, 4670}, {3758, 4383}, {3765, 30092}, {3782, 7321}, {3826, 33118}, {3836, 32780}, {3846, 33097}, {3848, 25531}, {3868, 16454}, {3873, 71979}, {3875, 58820}, {3883, 20101}, {3891, 9347}, {3914, 29837}, {3916, 11110}, {3920, 17140}, {3923, 26102}, {3925, 33121}, {3927, 56767}, {3961, 49479}, {3963, 19811}, {3969, 17310}, {3975, 4754}, {3979, 71450}, {3995, 17021}, {3996, 49478}, {4000, 63013}, {4011, 25502}, {4026, 33068}, {4077, 26640}, {4195, 54392}, {4205, 24470}, {4292, 26117}, {4298, 5484}, {4320, 19860}, {4360, 37595}, {4362, 37604}, {4384, 37652}, {4388, 50307}, {4393, 62808}, {4398, 50068}, {4415, 7228}, {4416, 62240}, {4423, 4676}, {4425, 32857}, {4514, 72228}, {4641, 17277}, {4644, 14555}, {4650, 40328}, {4652, 56769}, {4658, 64185}, {4663, 71931}, {4665, 19833}, {4672, 17123}, {4675, 18134}, {4682, 32926}, {4688, 71913}, {4699, 5271}, {4708, 41817}, {4714, 16474}, {4751, 19732}, {4850, 19684}, {4863, 49720}, {4865, 50301}, {4883, 68969}, {4968, 41261}, {4981, 62235}, {5161, 70446}, {5175, 50431}, {5224, 60729}, {5253, 11688}, {5256, 17379}, {5268, 32937}, {5272, 70481}, {5278, 16815}, {5297, 17165}, {5311, 17155}, {5439, 13740}, {5739, 17364}, {5743, 17365}, {5880, 32773}, {6051, 63996}, {6349, 37188}, {6682, 18201}, {6734, 26051}, {6763, 16828}, {7085, 19314}, {7191, 70482}, {7263, 19796}, {7291, 26965}, {8025, 17011}, {8616, 24331}, {9345, 32915}, {9369, 59311}, {10167, 13727}, {10453, 50314}, {10538, 18667}, {11246, 24723}, {11679, 25590}, {14534, 37791}, {14829, 31993}, {15803, 19278}, {15934, 19276}, {16061, 25083}, {16352, 26866}, {16408, 22149}, {16604, 30646}, {16606, 27454}, {16706, 40688}, {16709, 40153}, {16819, 18206}, {16825, 62841}, {16827, 71655}, {16831, 62818}, {16832, 62820}, {16915, 54419}, {16917, 20769}, {17012, 19717}, {17019, 17147}, {17023, 24177}, {17056, 32851}, {17063, 25496}, {17118, 42029}, {17120, 24589}, {17121, 37685}, {17124, 32931}, {17175, 17185}, {17227, 19827}, {17231, 50052}, {17233, 50048}, {17234, 32777}, {17243, 42033}, {17244, 17776}, {17245, 44416}, {17252, 41809}, {17261, 32933}, {17266, 33157}, {17287, 32863}, {17288, 32782}, {17289, 69092}, {17292, 33172}, {17302, 69544}, {17304, 63583}, {17312, 32858}, {17344, 41816}, {17348, 71915}, {17369, 72001}, {17394, 20182}, {17450, 32943}, {17499, 24603}, {17591, 29644}, {17595, 19701}, {17596, 43223}, {17598, 42053}, {17600, 50293}, {17719, 58443}, {17743, 64995}, {17766, 72039}, {17770, 72010}, {17889, 29635}, {18139, 32779}, {18166, 20174}, {18541, 54367}, {18698, 20882}, {19270, 37582}, {19273, 37545}, {19281, 19716}, {19284, 34772}, {19516, 29369}, {19729, 71123}, {19730, 20923}, {19731, 70472}, {19734, 70943}, {19744, 54281}, {19785, 29841}, {19810, 20913}, {19812, 48629}, {19825, 48628}, {19832, 48631}, {19837, 48635}, {19851, 62809}, {19853, 62858}, {20012, 68588}, {20921, 55406}, {20929, 21442}, {20950, 21786}, {21020, 32919}, {21218, 27340}, {22097, 26110}, {22345, 37442}, {23151, 33035}, {23512, 64126}, {23812, 71085}, {24046, 43531}, {24169, 29633}, {24199, 40940}, {24295, 72003}, {24471, 25898}, {24550, 42289}, {24552, 64149}, {24693, 32865}, {24725, 25960}, {24993, 31643}, {25385, 71995}, {25557, 33124}, {25961, 26061}, {25977, 26932}, {26037, 32912}, {26040, 59406}, {26049, 68259}, {26131, 69280}, {26625, 37543}, {26860, 45222}, {26969, 27182}, {28595, 31151}, {28960, 47758}, {29570, 62816}, {29571, 56078}, {29575, 50105}, {29578, 62796}, {29580, 62851}, {29584, 62801}, {29631, 69253}, {29638, 72027}, {29645, 33147}, {29647, 33125}, {29653, 33167}, {29655, 33109}, {29656, 72029}, {29670, 56010}, {29672, 72026}, {29673, 71991}, {29685, 32948}, {29814, 32929}, {29820, 49482}, {29821, 33682}, {29829, 33131}, {29833, 33150}, {29835, 33110}, {29847, 33143}, {29848, 72031}, {29854, 33161}, {30690, 55942}, {30699, 31995}, {30829, 37682}, {30950, 32930}, {31178, 32920}, {31445, 37035}, {31996, 62817}, {31997, 68769}, {32783, 49676}, {32843, 64164}, {32859, 72000}, {32860, 62821}, {32938, 72055}, {32945, 62867}, {32949, 69252}, {33047, 60701}, {33064, 72004}, {33065, 72006}, {33067, 69294}, {33069, 72002}, {33073, 69091}, {33077, 63056}, {33112, 69134}, {33114, 72014}, {33117, 71993}, {33120, 71989}, {33170, 69250}, {33681, 34020}, {34824, 72229}, {36479, 63139}, {36480, 62865}, {36534, 62850}, {37090, 37581}, {37558, 56862}, {37607, 49598}, {37676, 60706}, {37687, 41241}, {37759, 39595}, {39581, 63140}, {41711, 51055}, {42819, 71911}, {44417, 71985}, {49484, 72160}, {49738, 59583}, {52258, 57282}, {60203, 62907}, {62806, 72017}, {62862, 71912}, {62866, 71929}, {63055, 69220}, {64070, 72082}, {65687, 70426}, {67207, 71917}, {67209, 71451}, {67442, 70818}, {69755, 71938}

X(72293) = midpoint of X(4886) and X(62230)
X(72293) = X(8052)-Ceva conjugate of X(514)
X(72293) = X(i)-isoconjugate of X(j) for these (i,j): {6, 43073}, {9, 43070}, {19, 43072}, {55, 43071}, {284, 43074}, {663, 43069}, {7077, 43075}
X(72293) = X(i)-Dao conjugate of X(j) for these (i,j): {6, 43072}, {9, 43073}, {223, 43071}, {478, 43070}, {40590, 43074}, {49598, 21810}
X(72293) = crosspoint of X(274) and X(31643)
X(72293) = crosssum of X(213) and X(20967)
X(72293) = crossdifference of every pair of points on line {663, 50487}
X(72293) = barycentric product X(i)*X(j) for these {i,j}: {75, 37607}, {86, 49598}, {651, 41299}, {4554, 58773}
X(72293) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 43073}, {3, 43072}, {56, 43070}, {57, 43071}, {65, 43074}, {651, 43069}, {1429, 43075}, {37607, 1}, {41299, 4391}, {49598, 10}, {58773, 650}
X(72293) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3980, 32932}, {2, 7, 27184}, {2, 57, 24627}, {2, 894, 27064}, {2, 3218, 38000}, {2, 3219, 17260}, {2, 3306, 27002}, {2, 9965, 17257}, {2, 17350, 3305}, {2, 17483, 26580}, {2, 26791, 5316}, {2, 26806, 5249}, {2, 26840, 4357}, {2, 26842, 17184}, {2, 31053, 30867}, {2, 50128, 69057}, {2, 69251, 17291}, {2, 70742, 7308}, {57, 10436, 2}, {75, 940, 1999}, {81, 4359, 239}, {171, 24325, 3757}, {553, 4357, 26840}, {750, 32771, 7081}, {756, 32940, 62222}, {1086, 6703, 19786}, {1215, 17122, 5205}, and many others

X(72294) = X(1)X(2)∩X(3)X(3701)

X(72284) lies on these lines: {1, 2}, {3, 3701}, {5, 5300}, {11, 5014}, {21, 46937}, {22, 1603}, {25, 26262}, {31, 4434}, {40, 25253}, {46, 56318}, {55, 4358}, {56, 4696}, {57, 17165}, {63, 3952}, {69, 33864}, {75, 26229}, {100, 312}, {104, 9059}, {109, 28997}, {149, 63139}, {165, 4427}, {171, 26223}, {183, 3263}, {192, 26279}, {210, 1150}, {238, 26688}, {244, 32920}, {313, 17134}, {318, 35973}, {321, 1376}, {333, 63961}, {341, 2975}, {345, 69301}, {346, 26258}, {354, 71986}, {404, 4385}, {474, 4968}, {518, 71984}, {561, 69896}, {675, 52778}, {693, 18043}, {748, 24003}, {750, 1215}, {756, 32916}, {846, 64178}, {851, 1230}, {894, 17001}, {902, 4011}, {908, 6327}, {940, 46897}, {956, 4723}, {958, 52353}, {968, 31035}, {982, 32927}, {984, 32918}, {993, 3992}, {1054, 17155}, {1078, 33932}, {1089, 25440}, {1155, 3967}, {1158, 68698}, {1279, 71982}, {1329, 5016}, {1447, 31130}, {1621, 18743}, {1699, 21282}, {1724, 59666}, {1743, 70460}, {1757, 72199}, {2194, 30905}, {2217, 37449}, {2321, 68797}, {2370, 9058}, {2895, 26075}, {2899, 6872}, {3035, 3703}, {3218, 32937}, {3219, 27538}, {3246, 72024}, {3305, 71478}, {3306, 17140}, {3416, 5741}, {3434, 28808}, {3452, 63134}, {3550, 32930}, {3620, 67039}, {3662, 33153}, {3681, 3699}, {3683, 59506}, {3689, 71929}, {3702, 5687}, {3706, 71927}, {3710, 6684}, {3717, 59491}, {3718, 55094}, {3729, 71117}, {3740, 5278}, {3744, 71978}, {3751, 37639}, {3752, 3891}, {3765, 4447}, {3769, 32911}, {3790, 33168}, {3814, 4680}, {3816, 4030}, {3825, 4894}, {3836, 33127}, {3846, 33074}, {3873, 71985}, {3886, 64135}, {3909, 29508}, {3911, 63147}, {3915, 25079}, {3929, 59599}, {3932, 5432}, {3944, 32948}, {3971, 4414}, {3974, 17740}, {3977, 4082}, {3985, 41423}, {3994, 32934}, {3995, 17594}, {3996, 43290}, {4001, 21060}, {4009, 4640}, {4090, 32912}, {4095, 9310}, {4189, 56311}, {4193, 5015}, {4217, 66680}, {4220, 26266}, {4359, 4413}, {4387, 4421}, {4388, 27131}, {4415, 32950}, {4416, 31080}, {4417, 33078}, {4418, 56010}, {4429, 33133}, {4438, 69298}, {4450, 24703}, {4494, 69897}, {4514, 37758}, {4641, 59596}, {4645, 31053}, {4650, 32938}, {4660, 69173}, {4663, 71914}, {4671, 32932}, {4682, 19684}, {4689, 35652}, {4737, 54391}, {4849, 71936}, {4850, 32926}, {4901, 31231}, {4972, 17720}, {4975, 25439}, {4981, 37660}, {5020, 26261}, {5080, 71749}, {5192, 5266}, {5218, 17776}, {5220, 72057}, {5233, 33075}, {5255, 25591}, {5284, 30829}, {5294, 5823}, {5354, 38467}, {5361, 60731}, {5372, 72059}, {5423, 5744}, {5440, 49492}, {5846, 37663}, {5847, 63010}, {6057, 6174}, {6636, 17100}, {7033, 71447}, {7035, 33764}, {7101, 38860}, {7226, 24627}, {7270, 11681}, {7465, 19799}, {9342, 19804}, {9352, 32939}, {10980, 17146}, {11319, 37552}, {11680, 32850}, {11814, 71992}, {13161, 56782}, {14594, 17080}, {15246, 34758}, {15624, 18137}, {16434, 39572}, {16496, 67066}, {16997, 71831}, {17063, 32923}, {17122, 26627}, {17124, 24325}, {17126, 27064}, {17153, 29965}, {17154, 18193}, {17272, 31117}, {17287, 30798}, {17296, 30742}, {17298, 31071}, {17355, 40128}, {17469, 70942}, {17491, 28609}, {17576, 66681}, {17596, 32925}, {17601, 32936}, {17602, 32774}, {17716, 32944}, {17717, 33072}, {17718, 18139}, {17719, 25957}, {17724, 72001}, {17725, 33123}, {17728, 49688}, {17736, 21067}, {17766, 71988}, {17770, 72218}, {18228, 72117}, {19835, 37099}, {20880, 69381}, {20888, 71776}, {20891, 34247}, {20892, 64170}, {21093, 33098}, {21369, 61235}, {21371, 71459}, {21805, 30801}, {22016, 64727}, {22036, 69238}, {22277, 29558}, {23067, 65577}, {23543, 72144}, {24169, 33143}, {24295, 72027}, {24333, 70096}, {24349, 27003}, {24552, 30818}, {24655, 30034}, {24789, 24988}, {25385, 71989}, {25760, 33079}, {25960, 33076}, {25961, 33130}, {26034, 26580}, {26231, 68085}, {26271, 33889}, {26280, 42034}, {26446, 30285}, {26567, 56180}, {27065, 71476}, {27184, 33086}, {27261, 70556}, {27311, 70560}, {27394, 51361}, {27549, 53673}, {28599, 30827}, {28605, 61156}, {30568, 35258}, {30729, 54330}, {30740, 32099}, {30758, 37670}, {30800, 32919}, {30806, 71073}, {30834, 61648}, {31018, 63140}, {31111, 32913}, {31264, 50302}, {31445, 59582}, {31993, 71983}, {32775, 33174}, {32777, 70411}, {32851, 32862}, {32859, 72220}, {32860, 56009}, {32915, 60714}, {32935, 71630}, {33064, 72007}, {33065, 33085}, {33066, 72211}, {33067, 33101}, {33068, 33151}, {33069, 72009}, {33070, 37662}, {33071, 37651}, {33080, 69299}, {33107, 50289}, {33114, 37646}, {33118, 72223}, {33119, 33165}, {33122, 69092}, {33124, 71999}, {33125, 33152}, {33126, 33172}, {33131, 37759}, {33144, 69251}, {33156, 70916}, {33161, 69297}, {33938, 71449}, {35994, 46108}, {36263, 42054}, {37634, 49524}, {39248, 70490}, {41711, 72077}, {42056, 59624}, {44417, 71979}, {44447, 56084}, {46917, 63131}, {46938, 61155}, {47771, 69313}, {47805, 66517}, {49450, 72058}, {49484, 71908}, {49498, 72091}, {49676, 72011}, {49705, 72042}, {50127, 70117}, {50699, 64120}, {51192, 63090}, {54406, 70492}, {59406, 63078}, {59628, 72033}, {61686, 71987}, {62222, 67335}, {62236, 72075}, {62806, 71980}, {62834, 70483}, {62863, 72080}, {65660, 68822}, {69218, 70489}, {71634, 71922}, {71639, 71928}

X(72294) = barycentric product X(8)*X(28968)
X(72294) = barycentric quotient X(28968)/X(7)
X(72294) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 8, 69134}, {2, 7081, 26227}, {2, 10327, 3006}, {2, 20045, 614}, {2, 20056, 5211}, {2, 29832, 24239}, {2, 29838, 29666}, {2, 33091, 3705}, {2, 37764, 29665}, {2, 60459, 29641}, {2, 70452, 29840}, {42, 62659, 29649}, {43, 17763, 3187}, {100, 312, 32929}, {165, 56082, 4427}, {171, 32931, 26223}, and many others

X(72295) = X(1)X(2)∩X(9)X(17165)

X(72295) lies on these lines: {1, 2}, {9, 17165}, {21, 30599}, {22, 1602}, {25, 26261}, {31, 4697}, {37, 3891}, {55, 4359}, {63, 17140}, {75, 1621}, {86, 62807}, {92, 4233}, {100, 9105}, {105, 835}, {142, 63134}, {171, 26627}, {210, 71987}, {238, 26223}, {244, 32916}, {274, 4184}, {312, 5284}, {320, 72214}, {321, 1001}, {333, 3873}, {344, 69301}, {354, 1150}, {405, 4968}, {518, 5278}, {675, 1310}, {740, 62849}, {748, 1215}, {756, 32920}, {846, 17155}, {894, 17127}, {902, 3980}, {956, 68699}, {958, 71839}, {968, 17147}, {982, 32917}, {984, 32923}, {988, 16347}, {999, 16352}, {1043, 62870}, {1086, 32950}, {1191, 19724}, {1211, 33122}, {1230, 4204}, {1279, 24552}, {1376, 24589}, {1386, 19684}, {1441, 1617}, {1447, 16878}, {1962, 32921}, {2895, 70969}, {2975, 4228}, {3218, 71476}, {3219, 24349}, {3242, 4981}, {3246, 72018}, {3295, 16353}, {3305, 3952}, {3306, 71479}, {3416, 18139}, {3475, 5739}, {3662, 33083}, {3681, 17277}, {3683, 32933}, {3685, 28605}, {3696, 3748}, {3701, 11108}, {3702, 37060}, {3706, 42819}, {3711, 72077}, {3739, 3744}, {3742, 71984}, {3746, 28612}, {3750, 32860}, {3751, 19742}, {3769, 37633}, {3791, 62821}, {3826, 4030}, {3836, 33074}, {3841, 4894}, {3846, 33127}, {3869, 7474}, {3875, 27804}, {3883, 5249}, {3886, 17163}, {3896, 4361}, {3902, 6767}, {3915, 49598}, {3925, 5014}, {3936, 3966}, {3941, 16709}, {3989, 49455}, {4001, 5542}, {4026, 32774}, {4042, 42871}, {4054, 40998}, {4082, 38059}, {4108, 4367}, {4197, 5015}, {4318, 27339}, {4358, 4423}, {4360, 62840}, {4383, 46897}, {4385, 5047}, {4388, 31019}, {4392, 38000}, {4414, 24165}, {4418, 8616}, {4425, 33143}, {4427, 4512}, {4429, 26724}, {4434, 17124}, {4450, 5880}, {4514, 33108}, {4641, 72203}, {4643, 50274}, {4645, 27186}, {4654, 17491}, {4660, 69253}, {4661, 60731}, {4663, 63060}, {4683, 33103}, {4688, 71912}, {4703, 32856}, {4714, 25439}, {4756, 72053}, {4854, 49740}, {4879, 5996}, {4883, 71933}, {4972, 24789}, {4974, 61358}, {4980, 5695}, {5016, 25466}, {5020, 26262}, {5235, 62814}, {5250, 17164}, {5263, 62806}, {5266, 16454}, {5300, 8728}, {5307, 6995}, {5333, 62855}, {5737, 17597}, {5741, 17718}, {5743, 17724}, {5847, 63056}, {6186, 30690}, {6533, 25440}, {6636, 39578}, {7262, 31178}, {7308, 59599}, {7465, 19798}, {7677, 69765}, {8025, 62845}, {8270, 17077}, {8645, 20908}, {8715, 28611}, {9708, 50715}, {10180, 49472}, {10389, 63131}, {10436, 62834}, {10477, 64549}, {11038, 14552}, {13595, 51630}, {13745, 66675}, {14829, 64149}, {15485, 32930}, {16342, 37592}, {16475, 19717}, {16484, 32915}, {16491, 19740}, {16690, 17000}, {16704, 62819}, {16859, 56311}, {16998, 71139}, {17056, 33070}, {17063, 32918}, {17103, 33774}, {17123, 26688}, {17125, 59511}, {17145, 62815}, {17146, 62823}, {17148, 26274}, {17166, 47771}, {17184, 50295}, {17234, 33078}, {17279, 69296}, {17285, 70493}, {17289, 72210}, {17348, 71932}, {17469, 50302}, {17495, 17594}, {17526, 59760}, {17536, 46937}, {17592, 32924}, {17676, 23536}, {17715, 32945}, {17716, 40328}, {17719, 25960}, {17766, 71989}, {17770, 72215}, {17889, 32947}, {18134, 33075}, {19284, 37552}, {19336, 37589}, {19544, 39572}, {19701, 38315}, {19723, 64070}, {19744, 67538}, {19789, 64168}, {19808, 72213}, {20064, 50307}, {20101, 26806}, {20835, 20880}, {20930, 26229}, {20950, 68810}, {21020, 32941}, {22275, 64524}, {23171, 25947}, {23543, 72147}, {24178, 56782}, {24295, 72028}, {24342, 72201}, {24542, 32777}, {24723, 33146}, {25253, 31435}, {25385, 71988}, {25568, 63003}, {25590, 62875}, {25760, 33130}, {25957, 33076}, {25961, 33079}, {26034, 69251}, {26035, 69215}, {26128, 69294}, {26259, 68085}, {26263, 26265}, {26267, 26281}, {26580, 33144}, {27003, 71477}, {27065, 32937}, {27163, 68982}, {27184, 33148}, {27538, 35595}, {27798, 49473}, {27811, 62816}, {28599, 41867}, {28606, 32922}, {30474, 65685}, {30568, 71117}, {30818, 71982}, {31264, 70942}, {31323, 71570}, {32773, 33129}, {32776, 33147}, {32782, 33124}, {32784, 33123}, {32844, 33111}, {32850, 72014}, {32853, 62867}, {32859, 72217}, {32864, 49490}, {32912, 49479}, {32913, 72202}, {32932, 61155}, {32934, 70520}, {32936, 49493}, {32939, 62838}, {33064, 72008}, {33065, 72010}, {33069, 33082}, {33072, 49506}, {33080, 49676}, {33081, 50308}, {33089, 33116}, {33102, 48627}, {33113, 69091}, {33114, 72229}, {33115, 33169}, {33121, 72226}, {33126, 72000}, {33761, 49447}, {34036, 52358}, {34444, 66946}, {35058, 39954}, {36263, 42055}, {37520, 72205}, {37553, 64161}, {40688, 44419}, {41711, 70316}, {42045, 67964}, {42058, 50116}, {42697, 44447}, {44417, 71978}, {48798, 50793}, {48804, 50714}, {49450, 72076}, {49478, 71936}, {49484, 71909}, {49498, 72088}, {49709, 72225}, {49719, 69755}, {50165, 66672}, {50171, 66639}, {50297, 71798}, {55095, 72160}, {56028, 56087}, {56082, 66515}, {59628, 72027}, {62226, 71414}, {62236, 72080}, {62795, 72200}, {62827, 64562}, {62841, 70933}, {62862, 68969}, {62866, 71935}, {68999, 71911}, {69299, 72012}, {69756, 70465}

X(72295) = X(32022)-anticomplementary conjugate of X(21287)
X(72295) = X(513)-isoconjugate of X(29187)
X(72295) = X(39026)-Dao conjugate of X(29187)
X(72295) = crossdifference of every pair of points on line {649, 52589}
X(72295) = barycentric product X(i)*X(j) for these {i,j}: {75, 16783}, {190, 29186}
X(72295) = barycentric quotient X(i)/X(j) for these {i,j}: {101, 29187}, {16783, 1}, {29186, 514}
X(72295) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 5271, 17135}, {1, 32914, 3187}, {2, 8, 69250}, {2, 3757, 26227}, {2, 5211, 29680}, {2, 20045, 612}, {2, 29815, 16830}, {2, 29840, 29664}, {2, 33090, 29641}, {10, 29672, 24943}, {10, 71517, 3938}, {75, 1621, 32929}, {238, 32771, 26223}, {984, 32923, 71794}, {1279, 31993, 24552}, {3219, 24349, 71793}, {3242, 19732, 4981}, {3683, 49483, 32933}, {3696, 3748, 71929}, {3706, 42819, 71928}, {3739, 3744, 71979}, {3757, 16823, 2}, {3870, 4384, 4651}, {3883, 5249, 6327}, {4362, 24331, 3720}, {4666, 11679, 29824}, {5272, 29828, 2}, {5737, 17597, 46909}, {7262, 31178, 32940}, {10436, 62834, 70482}, {16825, 29651, 42}, {17123, 32931, 26688}, {17140, 71478, 63}, {26227, 26246, 26237}, {29641, 50310, 33090}, {29689, 69252, 3771}, {29818, 30970, 29652}, {33103, 50296, 4683}, {42055, 59624, 36263}, {43223, 50023, 17017}, {49479, 72208, 32912}, {59306, 67210, 36480}

X(72296) = X(1)X(2)∩X(9)X(70117)

X(72296) lies on these lines: {1, 2}, {9, 70117}, {22, 26262}, {31, 24003}, {44, 72205}, {56, 52353}, {57, 3952}, {75, 9342}, {100, 9083}, {109, 28996}, {190, 9352}, {210, 71984}, {244, 71794}, {312, 64010}, {321, 4413}, {341, 5253}, {404, 46937}, {474, 3701}, {518, 71986}, {740, 9350}, {748, 4434}, {750, 4697}, {999, 4723}, {1054, 32925}, {1150, 3740}, {1155, 59506}, {1215, 17124}, {1376, 4358}, {1621, 30829}, {1836, 30566}, {1997, 3434}, {2899, 4190}, {3035, 33113}, {3218, 27538}, {3263, 26229}, {3306, 17165}, {3452, 6327}, {3681, 71985}, {3685, 46938}, {3689, 71928}, {3699, 3873}, {3702, 9709}, {3744, 71982}, {3769, 37680}, {3772, 24988}, {3816, 5014}, {3875, 68976}, {3891, 16610}, {4009, 32933}, {4096, 36263}, {4115, 6205}, {4187, 5300}, {4188, 56311}, {4385, 17531}, {4392, 27002}, {4414, 59517}, {4427, 30568}, {4450, 4679}, {4645, 27131}, {4661, 72059}, {4696, 25524}, {4849, 71933}, {4860, 59597}, {4884, 43055}, {4968, 16408}, {5221, 59598}, {5233, 33078}, {5269, 70483}, {5278, 61686}, {5316, 63134}, {5372, 60731}, {5423, 62773}, {5437, 17140}, {6555, 64151}, {6692, 63147}, {7308, 71478}, {7485, 26264}, {8686, 9059}, {9330, 38000}, {11346, 37589}, {11680, 37758}, {11814, 71988}, {14829, 63961}, {15246, 51630}, {16594, 72231}, {17063, 32927}, {17122, 32931}, {17265, 17783}, {17594, 31035}, {17596, 64178}, {17719, 25961}, {17740, 69301}, {17766, 71992}, {17776, 59572}, {18193, 20068}, {23543, 71885}, {23958, 62222}, {24295, 72031}, {24593, 72057}, {24655, 30056}, {25385, 71993}, {25430, 27811}, {25531, 62806}, {25734, 53056}, {25938, 26651}, {25958, 30867}, {25960, 33079}, {26061, 58443}, {26073, 33131}, {26250, 26265}, {27003, 32937}, {27065, 71477}, {27130, 50289}, {28592, 65026}, {29982, 34247}, {30044, 64170}, {30818, 71979}, {32636, 59577}, {32850, 72013}, {32915, 56009}, {32930, 56010}, {32932, 61156}, {33064, 72011}, {33065, 72009}, {33070, 37663}, {33073, 37651}, {33114, 37634}, {33122, 72001}, {33126, 71999}, {35595, 71476}, {37267, 66681}, {37520, 59596}, {37522, 59666}, {37552, 56983}, {37582, 59582}, {37674, 46897}, {42819, 71639}, {42871, 72077}, {43290, 72160}, {44417, 71983}, {44720, 62837}, {49498, 72087}, {49499, 65112}, {56082, 64112}, {58451, 71987}, {62236, 72058}, {62863, 72079}, {69299, 72007}, {70394, 71881}

X(72296) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 10327, 69134}, {2, 20045, 5272}, {2, 37764, 29681}, {2, 60459, 3705}, {31, 24003, 26688}, {57, 3952, 71793}, {750, 59511, 26223}, {899, 29649, 3187}, {1215, 17124, 26627}, {1376, 4358, 32929}, {30567, 67097, 17135}, {30947, 71529, 3957}, {37762, 69250, 2}, {60423, 66632, 2}

X(72297) = X(1)X(2)∩X(9)X(17140)

X(72297) lies on these lines: {1, 2}, {9, 17140}, {22, 26261}, {31, 26627}, {55, 24589}, {57, 71478}, {75, 5284}, {105, 46961}, {142, 6327}, {321, 4423}, {333, 64149}, {354, 5278}, {518, 71987}, {748, 24325}, {756, 71794}, {968, 17495}, {988, 17588}, {1001, 4359}, {1150, 3742}, {1215, 17125}, {1279, 71979}, {1444, 4228}, {1621, 19804}, {2975, 20921}, {3305, 17165}, {3475, 63003}, {3696, 71928}, {3701, 16842}, {3739, 24552}, {3744, 71983}, {3748, 71927}, {3791, 9345}, {3826, 5014}, {3848, 71986}, {3873, 17277}, {3891, 44307}, {3952, 7308}, {3966, 18139}, {3996, 62862}, {4113, 15570}, {4210, 23407}, {4358, 8167}, {4385, 17536}, {4387, 4980}, {4388, 27186}, {4418, 15485}, {4430, 60731}, {4514, 72014}, {4883, 17348}, {4968, 11108}, {4972, 17278}, {4974, 62821}, {4981, 17259}, {5248, 6533}, {5300, 17529}, {5437, 71479}, {5739, 38053}, {5743, 33122}, {6666, 63147}, {7226, 17260}, {7290, 70482}, {7485, 26241}, {8025, 16475}, {9335, 24627}, {15254, 32933}, {16484, 32860}, {16992, 26229}, {17063, 32917}, {17077, 34036}, {17123, 32771}, {17145, 44841}, {17164, 31435}, {17234, 33075}, {17263, 32862}, {17267, 48648}, {17298, 20290}, {17338, 33166}, {17450, 32853}, {17534, 46937}, {17570, 56311}, {17676, 24178}, {17766, 71993}, {19732, 46909}, {19742, 62819}, {19808, 72210}, {21283, 64162}, {23543, 72141}, {24295, 72032}, {24342, 72198}, {24349, 27065}, {24988, 46178}, {25001, 25893}, {25385, 71992}, {25557, 32859}, {25885, 26651}, {25960, 33130}, {25961, 33076}, {26061, 31289}, {26234, 59358}, {26265, 26281}, {26724, 32773}, {27003, 71476}, {31178, 32938}, {31993, 71978}, {32772, 40328}, {32863, 70969}, {32937, 35595}, {32950, 40688}, {33064, 72012}, {33067, 50296}, {33069, 72010}, {33100, 48627}, {33124, 72000}, {34611, 69755}, {34824, 63979}, {36263, 42053}, {37679, 46897}, {38316, 63131}, {39747, 39954}, {42819, 71929}, {44417, 71982}, {49450, 62863}, {49453, 72052}, {49457, 62869}, {49478, 71932}, {49511, 63100}, {49676, 72008}, {49705, 72037}, {50295, 69251}, {62236, 72076}, {62806, 71981}, {62866, 71934}, {70143, 70450}

X(72297) = crossdifference of every pair of points on line {649, 21837}
X(72297) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 5211, 29664}, {2, 17024, 16830}, {2, 20045, 5268}, {9, 17140, 71793}, {748, 24325, 26223}, {1001, 4359, 32929}, {1215, 17125, 26688}, {3720, 16825, 3187}, {4384, 4666, 17135}, {4883, 17348, 71936}, {5271, 10582, 29824}, {17259, 17597, 4981}, {25501, 50023, 5311}, {25557, 41002, 32859}

X(72298) = X(1)X(2)∩X(11)X(31993)

X(72298) lies on these lines: {1, 2}, {11, 31993}, {22, 5267}, {25, 993}, {36, 59353}, {37, 69091}, {57, 50295}, {75, 24210}, {81, 51196}, {86, 33071}, {120, 61031}, {141, 3742}, {142, 2887}, {171, 3883}, {210, 5241}, {226, 3846}, {244, 54311}, {274, 70597}, {305, 20888}, {319, 71930}, {354, 1211}, {392, 40966}, {427, 1900}, {497, 50314}, {515, 19544}, {516, 3980}, {518, 4104}, {527, 4703}, {553, 4655}, {726, 4656}, {748, 5294}, {750, 63134}, {756, 63147}, {908, 25960}, {940, 3966}, {946, 30778}, {958, 5020}, {966, 24477}, {968, 17740}, {982, 4357}, {988, 13725}, {1001, 59692}, {1074, 25012}, {1107, 1196}, {1184, 71494}, {1215, 3452}, {1266, 33154}, {1279, 72216}, {1368, 2886}, {1376, 16419}, {1386, 6703}, {1460, 3911}, {1611, 70550}, {1699, 7996}, {1738, 19804}, {1861, 8889}, {2345, 26105}, {3263, 62226}, {3290, 5257}, {3295, 5955}, {3305, 33163}, {3306, 26034}, {3315, 31247}, {3416, 37674}, {3454, 51706}, {3663, 4425}, {3664, 32946}, {3666, 50290}, {3681, 49536}, {3683, 59544}, {3686, 5275}, {3703, 4078}, {3717, 33169}, {3740, 49524}, {3745, 49684}, {3751, 14555}, {3752, 4026}, {3814, 37439}, {3816, 44417}, {3817, 12618}, {3819, 17792}, {3821, 24177}, {3844, 3848}, {3873, 49505}, {3879, 4038}, {3914, 4359}, {3923, 40998}, {3986, 26242}, {4001, 72008}, {4011, 17355}, {4054, 69173}, {4082, 59517}, {4133, 32915}, {4138, 5249}, {4189, 7298}, {4199, 37575}, {4205, 37592}, {4220, 4297}, {4231, 11012}, {4239, 5322}, {4304, 37090}, {4314, 56775}, {4356, 4970}, {4363, 24703}, {4387, 50048}, {4388, 50307}, {4415, 49483}, {4416, 32913}, {4423, 32777}, {4438, 54326}, {4514, 71981}, {4641, 41002}, {4650, 50296}, {4682, 5846}, {4684, 33084}, {4780, 32860}, {4854, 42051}, {4865, 64174}, {4883, 71937}, {4886, 71935}, {4906, 71322}, {4967, 24217}, {4972, 24589}, {4999, 6676}, {5014, 71983}, {5015, 56766}, {5051, 23536}, {5084, 59760}, {5224, 24216}, {5276, 71925}, {5284, 32779}, {5316, 53663}, {5542, 33064}, {5573, 17306}, {5739, 34379}, {5745, 25514}, {5750, 25496}, {5835, 58679}, {6327, 26627}, {6353, 30478}, {6381, 40022}, {6536, 46901}, {6682, 50298}, {6684, 16434}, {7396, 31418}, {7413, 63423}, {7484, 25440}, {8167, 17279}, {8229, 12617}, {8720, 12579}, {8770, 31490}, {8855, 31453}, {9345, 32852}, {9746, 64705}, {10164, 19649}, {10167, 59688}, {10436, 26098}, {10980, 17272}, {11512, 56737}, {12512, 50699}, {13161, 52258}, {15254, 44416}, {16062, 24178}, {16475, 63013}, {16484, 33160}, {16604, 18905}, {16849, 63999}, {16852, 64124}, {17051, 17239}, {17063, 32784}, {17072, 44432}, {17122, 33076}, {17123, 17353}, {17124, 33074}, {17125, 26061}, {17140, 26580}, {17277, 33121}, {17289, 71980}, {17368, 70485}, {17382, 59477}, {17450, 33081}, {17575, 65993}, {17723, 19701}, {17728, 37660}, {17770, 62240}, {17781, 32940}, {17889, 24199}, {19276, 66639}, {19313, 63146}, {19724, 43531}, {19798, 23537}, {19808, 32942}, {19835, 42031}, {20262, 40597}, {20544, 47514}, {20684, 39244}, {21241, 51400}, {21242, 24386}, {21616, 22000}, {21795, 25066}, {23789, 44435}, {23918, 61342}, {24163, 24167}, {24169, 24175}, {24231, 27184}, {24342, 33106}, {25101, 33164}, {25958, 27186}, {26601, 72143}, {27003, 33083}, {27065, 33170}, {28164, 50698}, {30331, 71918}, {30771, 31493}, {30832, 33124}, {31143, 51004}, {31178, 33101}, {31456, 34481}, {31458, 40132}, {32782, 64149}, {32911, 59408}, {32912, 72012}, {32917, 59491}, {32941, 64162}, {33075, 37633}, {33097, 50116}, {33111, 40328}, {33114, 71987}, {33119, 54357}, {33166, 35595}, {33167, 56078}, {33945, 57923}, {37038, 66692}, {37060, 48863}, {37362, 65950}, {37394, 39585}, {37443, 45305}, {37456, 51118}, {37527, 39870}, {37679, 38047}, {37683, 70969}, {38191, 59684}, {40131, 63978}, {41809, 46909}, {47757, 50337}, {48156, 68962}, {48628, 70152}, {49479, 69299}, {49482, 59628}, {49484, 49736}, {49709, 72019}, {50297, 59624}, {51575, 66224}, {51715, 65543}, {57288, 66529}, {61652, 63010}, {62867, 69300}, {63969, 72204}

X(72298) = midpoint of X(i) and X(j) for these {i,j}: {940, 3966}, {5739, 62819}
X(72298) = reflection of X(4104) in X(5743)
X(72298) = complement of X(612)
X(72298) = complement of the isogonal conjugate of X(56328)
X(72298) = complement of the isotomic conjugate of X(57923)
X(72298) = X(i)-complementary conjugate of X(j) for these (i,j): {56, 34261}, {513, 5517}, {667, 55046}, {1036, 9}, {1039, 20262}, {1245, 1213}, {1310, 513}, {1472, 37}, {2221, 2}, {2281, 16589}, {2339, 3452}, {30479, 1329}, {32691, 3239}, {34260, 5743}, {37215, 3835}, {51686, 6}, {54982, 21260}, {56219, 1211}, {56328, 10}, {57923, 2887}, {60197, 21245}, {64989, 21244}, {65298, 514}, {66948, 21530}
X(72298) = X(54982)-Ceva conjugate of X(514)
X(72298) = crosspoint of X(i) and X(j) for these (i,j): {2, 57923}, {75, 56044}
X(72298) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3687, 4028}, {2, 8, 5268}, {2, 10, 62673}, {2, 614, 1125}, {2, 3757, 66632}, {2, 29679, 60423}, {2, 29840, 16830}, {2, 33090, 5297}, {2, 69134, 29639}, {10, 9843, 3831}, {10, 11019, 3741}, {10, 29655, 4847}, {244, 69294, 54311}, {354, 1211, 49511}, {968, 17740, 59547}, {1125, 20106, 29642}, {1961, 32866, 49476}, {3703, 44307, 4078}, {3720, 69252, 306}, {3844, 3848, 72001}, {3846, 24325, 226}, {4038, 32861, 3879}, {4425, 24165, 3663}, {4666, 33171, 49768}, {5249, 25760, 4138}, {5316, 53663, 59511}, {6734, 31339, 10}, {16825, 29635, 40940}, {17123, 32780, 17353}, {19804, 32773, 1738}, {25006, 26037, 10}, {25501, 29653, 29571}, {25960, 32771, 908}, {26037, 33120, 25006}, {26102, 32778, 3912}, {29639, 69134, 49554}, {29673, 71977, 10}, {32913, 72010, 4416}, {49987, 69544, 17017}, {50305, 66632, 3757}

X(72299) = X(2)X(40935)∩X(8)X(194)

X(72299) lies on these lines: {2, 40935}, {8, 194}, {31, 17743}, {718, 2085}, {766, 27801}, {1837, 3056}, {10453, 31000}, {16681, 18047}, {17135, 17144}, {18050, 62753}, {18906, 25304}, {20553, 37889}, {20554, 25332}, {20863, 60244}, {21435, 69696}, {30891, 40370}, {33297, 41535}

X(72299) = reflection of X(i) in X(j) for these {i,j}: {38844, 27801}, {40935, 52547}
X(72299) = anticomplement of X(40935)
X(72299) = anticomplement of the isotomic conjugate of X(59146)
X(72299) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {3113, 40721}, {7033, 1654}, {7034, 1330}, {7255, 9263}, {7305, 17148}, {7307, 75}, {9063, 788}, {14124, 71459}, {17743, 1655}, {38810, 2}, {38813, 17486}, {40415, 192}, {40834, 6542}, {40835, 6646}, {59146, 6327}
X(72299) = X(59146)-Ceva conjugate of X(2)
X(72299) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {21278, 25293, 17751}, {40935, 52547, 2}

X(72300) = X(1)X(2)∩X(6)X(1921)

X(72300) lies on these lines: {1, 2}, {6, 1921}, {83, 18833}, {213, 39044}, {870, 17750}, {894, 21443}, {1966, 20179}, {3508, 49521}, {3774, 4360}, {4852, 21897}, {5135, 70913}, {7770, 68769}, {12194, 70346}, {16514, 18140}, {17541, 62813}, {24578, 25264}, {49481, 71830}, {68950, 69088}, {71615, 71655}

X(72300) = crossdifference of every pair of points on line {649, 9231}
X(72300) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {239, 41240, 1}

X(72301) = X(1)X(6)∩X(41)X(32921)

X(72301) lies on these lines: {1, 6}, {41, 32921}, {101, 32922}, {726, 9454}, {740, 70647}, {824, 4560}, {2223, 20694}, {2280, 50281}, {3218, 70119}, {3684, 4716}, {3685, 70118}, {3952, 69836}, {4251, 4360}, {4434, 23622}, {7239, 69683}, {9021, 70931}, {16549, 20990}, {17475, 41333}, {17495, 70144}, {20045, 69826}, {20718, 70934}, {25048, 41323}, {26772, 26965}, {26963, 27097}, {27807, 63237}, {30108, 30882}, {30109, 69907}, {32029, 69735}, {32920, 51949}, {32927, 61164}, {61234, 69701}, {69074, 69903}

X(72301) = X(i)-isoconjugate of X(j) for these (i,j): {292, 55026}, {335, 34443}
X(72301) = X(19557)-Dao conjugate of X(55026)
X(72301) = crosssum of X(21123) and X(27846)
X(72301) = crossdifference of every pair of points on line {513, 3778}
X(72301) = barycentric product X(i)*X(j) for these {i,j}: {238, 17165}, {239, 16549}, {350, 20990}, {1914, 18040}, {3573, 50337}, {17915, 20769}, {21067, 69887}, {21865, 33295}, {26822, 69901}
X(72301) = barycentric quotient X(i)/X(j) for these {i,j}: {238, 55026}, {2210, 34443}, {16549, 335}, {17165, 334}, {18040, 18895}, {20990, 291}, {21865, 43534}, {50337, 66286}
X(72301) = {X(71046),X(71421)}-harmonic conjugate of X(70812)

X(72302) = X(1)X(2)∩X(36)X(71839)

X(72302) lies on these lines: {1, 2}, {36, 71839}, {320, 70117}, {814, 7255}, {894, 24327}, {1621, 18140}, {1756, 71470}, {1914, 71397}, {2223, 52043}, {3747, 17793}, {3760, 32929}, {3882, 71415}, {3948, 8299}, {3975, 70116}, {4358, 70100}, {4436, 39995}, {4475, 59720}, {4557, 70854}, {6376, 23407}, {6381, 70097}, {8053, 18133}, {15624, 18044}, {16549, 17165}, {16678, 18148}, {16684, 56249}, {18040, 20990}, {18046, 64169}, {18266, 24294}, {21210, 70985}, {22271, 41681}, {26250, 40910}, {26756, 70512}, {26822, 50337}, {27095, 70515}, {27950, 70386}, {29559, 58571}, {34444, 40010}, {53338, 69700}, {57024, 69907}, {57039, 68986}

X(72302) = X(i)-isoconjugate of X(j) for these (i,j): {291, 34443}, {1911, 55026}
X(72302) = X(i)-Dao conjugate of X(j) for these (i,j): {6651, 55026}, {39029, 34443}
X(72302) = crossdifference of every pair of points on line {649, 16584}
X(72302) = barycentric product X(i)*X(j) for these {i,j}: {238, 18040}, {239, 17165}, {350, 16549}, {1921, 20990}, {3570, 50337}, {17915, 71066}, {21067, 33295}, {21865, 30940}, {22164, 40717}, {26822, 69899}
X(72302) = barycentric quotient X(i)/X(j) for these {i,j}: {239, 55026}, {1914, 34443}, {16549, 291}, {17165, 335}, {18040, 334}, {20990, 292}, {21067, 43534}, {22164, 295}, {50337, 4444}
X(72302) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 29511, 20352}, {2, 71535, 71026}, {68949, 69899, 239}

X(72303) = X(1)X(3210)∩X(2)X(38)

X(72303) lies on these lines: {1, 3210}, {2, 38}, {7, 4388}, {8, 443}, {10, 62865}, {42, 17490}, {43, 24620}, {57, 3757}, {63, 16823}, {75, 354}, {85, 63994}, {86, 17599}, {142, 29641}, {145, 32860}, {190, 4423}, {192, 3720}, {210, 49499}, {239, 62819}, {274, 5208}, {312, 3742}, {320, 3966}, {321, 64149}, {330, 21352}, {345, 38053}, {377, 19805}, {386, 64431}, {497, 4459}, {518, 19804}, {553, 3883}, {614, 894}, {726, 26102}, {748, 17350}, {750, 32923}, {846, 24331}, {870, 54128}, {873, 41527}, {940, 32922}, {976, 56768}, {1001, 32939}, {1054, 29670}, {1086, 32773}, {1125, 19582}, {1220, 17054}, {1278, 17450}, {1401, 17049}, {1468, 19851}, {1473, 26241}, {1836, 7321}, {1961, 49455}, {1962, 3622}, {2320, 39768}, {2345, 3726}, {2650, 20036}, {2886, 17774}, {3006, 27186}, {3218, 71476}, {3241, 3896}, {3242, 71981}, {3305, 62222}, {3306, 7081}, {3315, 24552}, {3550, 71517}, {3616, 6051}, {3621, 71631}, {3660, 69765}, {3672, 69015}, {3677, 10436}, {3681, 24589}, {3685, 4666}, {3687, 5542}, {3689, 72080}, {3703, 17234}, {3705, 5249}, {3729, 10582}, {3739, 21342}, {3769, 37520}, {3836, 33169}, {3846, 33103}, {3848, 3967}, {3874, 9534}, {3881, 28612}, {3886, 44841}, {3891, 37633}, {3914, 29843}, {3918, 56799}, {3920, 26627}, {3923, 29820}, {3971, 25502}, {3976, 49598}, {3989, 27268}, {3996, 42871}, {3999, 31993}, {4001, 70969}, {4038, 32921}, {4090, 62711}, {4195, 28082}, {4358, 26103}, {4361, 71935}, {4362, 37684}, {4363, 32942}, {4365, 4740}, {4384, 62823}, {4385, 5439}, {4393, 32924}, {4398, 4854}, {4428, 65166}, {4429, 40688}, {4430, 4651}, {4454, 25371}, {4457, 49689}, {4514, 5880}, {4579, 43650}, {4647, 50190}, {4648, 70996}, {4663, 72082}, {4673, 17609}, {4675, 33073}, {4685, 49498}, {4686, 4891}, {4699, 17449}, {4722, 63050}, {4734, 17018}, {4741, 72008}, {4772, 21020}, {4847, 24199}, {4850, 59297}, {4860, 14829}, {4863, 69755}, {4883, 42051}, {4884, 17245}, {4981, 9780}, {5045, 70499}, {5205, 5437}, {5211, 26098}, {5263, 17597}, {5272, 27064}, {5278, 62235}, {5284, 32933}, {5295, 50192}, {5297, 71794}, {5550, 56318}, {5695, 72160}, {5749, 20227}, {5904, 6533}, {6063, 31526}, {6327, 26842}, {6377, 72152}, {6532, 17749}, {7155, 32772}, {7191, 70419}, {7228, 72231}, {7283, 64675}, {7292, 26223}, {9342, 24594}, {9345, 32928}, {9369, 64673}, {9709, 70743}, {9812, 64126}, {10449, 18398}, {10458, 62636}, {10459, 17480}, {10529, 30543}, {10580, 31995}, {10980, 11679}, {11020, 20880}, {11680, 20256}, {14996, 17150}, {15523, 17232}, {16020, 26065}, {16352, 70387}, {16468, 71518}, {16484, 32934}, {16703, 17169}, {16710, 17187}, {16816, 32864}, {16817, 62858}, {16824, 62874}, {16825, 32913}, {16830, 62833}, {17017, 17379}, {17022, 49446}, {17024, 70482}, {17025, 19717}, {17026, 27478}, {17032, 31348}, {17117, 17156}, {17122, 32920}, {17123, 32935}, {17124, 32927}, {17125, 32938}, {17147, 29814}, {17236, 69294}, {17278, 33118}, {17300, 33088}, {17347, 41002}, {17349, 32912}, {17358, 29677}, {17375, 32852}, {17383, 29647}, {17591, 43223}, {17594, 62300}, {17596, 29651}, {17598, 50302}, {17725, 58443}, {17740, 29839}, {17777, 26105}, {17789, 58628}, {17868, 21328}, {17889, 29655}, {18134, 25557}, {18139, 33089}, {18193, 24627}, {18201, 32916}, {18230, 70092}, {19284, 36565}, {19785, 29837}, {20012, 49490}, {20037, 66640}, {20286, 72141}, {20358, 31997}, {20598, 26107}, {20892, 70501}, {21197, 23655}, {21255, 39597}, {21345, 63493}, {21454, 63140}, {22060, 23407}, {22184, 71975}, {22232, 23524}, {24169, 29659}, {24174, 59299}, {24217, 48643}, {24231, 27184}, {24342, 29652}, {24789, 33121}, {25242, 59217}, {25253, 46934}, {25294, 27798}, {25734, 72051}, {25960, 32856}, {25961, 33162}, {26227, 27003}, {26724, 33114}, {26806, 29840}, {26840, 50295}, {27065, 71793}, {27339, 68761}, {28605, 29824}, {29572, 69295}, {29635, 33147}, {29642, 33167}, {29667, 69251}, {29685, 33125}, {29817, 32929}, {29818, 72201}, {29829, 33150}, {29830, 33168}, {29835, 33131}, {29836, 72027}, {29844, 33109}, {29845, 33143}, {29851, 33161}, {30341, 56386}, {30342, 56385}, {30950, 32925}, {31019, 69134}, {31137, 51060}, {31197, 59596}, {31999, 68751}, {32778, 49676}, {32842, 63056}, {32845, 62849}, {32914, 37683}, {32926, 37674}, {32945, 62869}, {33069, 69252}, {33120, 69253}, {34064, 49453}, {35652, 49525}, {36534, 62814}, {36634, 71634}, {37090, 54326}, {37677, 71184}, {38314, 62840}, {40022, 70103}, {41011, 50128}, {41242, 71982}, {41269, 63055}, {41711, 71926}, {42029, 58560}, {42057, 49474}, {44307, 49447}, {44446, 52653}, {46897, 59298}, {46938, 71117}, {49448, 71977}, {49466, 63139}, {49517, 72054}, {50023, 62841}, {50310, 63134}, {50756, 71919}, {51706, 69279}, {51863, 71900}, {53336, 69728}, {56010, 71520}, {58571, 72193}, {59306, 71456}, {59597, 61158}, {62230, 67964}, {62815, 63131}, {62863, 71929}, {63074, 68958}, {64010, 71928}, {64070, 71931}, {65112, 71984}, {67207, 72088}, {67335, 71478}, {69296, 71999}, {69568, 71600}

X(72303) = reflection of X(i) in X(j) for these {i,j}: {41839, 26102}, {59296, 19804}
X(72303) = isotomic conjugate of X(56239)
X(72303) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {56042, 69}, {56222, 1330}
X(72303) = X(31)-isoconjugate of X(56239)
X(72303) = X(2)-Dao conjugate of X(56239)
X(72303) = barycentric quotient X(2)/X(56239)
X(72303) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 24165, 3210}, {2, 17140, 24349}, {2, 17154, 7226}, {2, 17165, 27538}, {2, 24349, 32937}, {2, 31302, 756}, {57, 3757, 71477}, {75, 354, 10453}, {244, 32771, 2}, {312, 3742, 30947}, {614, 894, 70481}, {748, 32940, 17350}, {982, 24325, 2}, {1215, 17063, 2}, {3681, 24589, 26038}, {3720, 17155, 192}, {3742, 49483, 312}, {3848, 3967, 30829}, {3873, 4359, 8}, {3896, 62866, 3241}, {4038, 32921, 58820}, {4651, 17146, 4430}, {4883, 42051, 49470}, {5284, 32933, 71524}, {7292, 26223, 70485}, {16825, 32913, 37652}, {17018, 17495, 4734}, {17063, 31178, 1215}, {17123, 32935, 70742}, {17165, 27538, 32937}, {24325, 42053, 982}, {24349, 27538, 17165}, {25502, 49532, 3971}, {25557, 69091, 18134}, {28605, 29824, 70152}, {29843, 48627, 3914}, {32860, 62867, 145}, {32924, 62821, 4393}, {62814, 71979, 36534}

X(72304) = X(1)X(17495)∩X(2)X(38)

X(72304) lies on these lines: {1, 17495}, {2, 38}, {6, 68958}, {7, 17491}, {8, 3881}, {10, 17449}, {75, 29824}, {86, 69078}, {142, 3006}, {192, 72148}, {274, 20247}, {321, 3742}, {354, 3696}, {443, 36500}, {518, 17146}, {726, 30950}, {740, 17450}, {750, 20045}, {870, 7192}, {873, 55026}, {894, 7292}, {899, 49479}, {940, 17150}, {985, 70933}, {1001, 4427}, {1125, 3977}, {1150, 4860}, {1441, 3660}, {1621, 65166}, {1638, 65660}, {1647, 25385}, {1738, 29835}, {3210, 27804}, {3216, 6532}, {3218, 16823}, {3220, 26261}, {3240, 24620}, {3242, 71983}, {3305, 71793}, {3306, 26227}, {3315, 5263}, {3616, 3743}, {3624, 56318}, {3664, 49987}, {3689, 72078}, {3705, 27186}, {3706, 58560}, {3720, 3993}, {3739, 3999}, {3757, 27003}, {3833, 4692}, {3834, 48647}, {3836, 31079}, {3873, 4651}, {3874, 6533}, {3891, 37674}, {3892, 4714}, {3896, 4883}, {3902, 5049}, {3927, 27595}, {3936, 25557}, {3966, 20290}, {3989, 25501}, {3995, 17155}, {3996, 62863}, {4000, 29829}, {4038, 32924}, {4358, 49483}, {4361, 17162}, {4363, 24403}, {4388, 26842}, {4393, 70955}, {4413, 17780}, {4414, 24331}, {4418, 29820}, {4423, 32933}, {4430, 59296}, {4442, 7263}, {4487, 4731}, {4576, 51314}, {4661, 26038}, {4666, 32929}, {4670, 68756}, {4671, 30947}, {4675, 33070}, {4699, 25295}, {4709, 50001}, {4751, 71456}, {4781, 61155}, {4809, 53343}, {4850, 29822}, {4968, 5439}, {4972, 40688}, {4981, 21342}, {5057, 7321}, {5211, 26806}, {5249, 69134}, {5268, 71794}, {5271, 10980}, {5272, 26223}, {5284, 32939}, {5524, 72092}, {5880, 21282}, {6377, 72147}, {7191, 70482}, {8025, 17017}, {8620, 16604}, {9345, 32921}, {9776, 28599}, {10009, 53363}, {10453, 17163}, {11115, 28082}, {11680, 53566}, {14829, 65112}, {15569, 69539}, {15668, 17142}, {16484, 32845}, {16610, 46897}, {16684, 69019}, {16704, 16825}, {16709, 64524}, {16739, 39734}, {16826, 31348}, {16998, 70908}, {17018, 17490}, {17024, 70484}, {17025, 17379}, {17077, 68761}, {17122, 32923}, {17123, 32940}, {17124, 32920}, {17125, 32935}, {17169, 33945}, {17175, 24166}, {17234, 33089}, {17277, 62235}, {17278, 33114}, {17300, 32842}, {17597, 71979}, {17740, 29830}, {18139, 69091}, {18169, 39747}, {18201, 32917}, {18743, 71117}, {19717, 29821}, {19742, 32913}, {19998, 49490}, {20011, 62867}, {20042, 24693}, {21271, 50362}, {21805, 49491}, {23958, 71476}, {24046, 26115}, {24169, 29685}, {24199, 26015}, {24231, 26580}, {24799, 51615}, {24988, 49524}, {25502, 32925}, {25531, 41242}, {25960, 33103}, {25961, 33169}, {26037, 62865}, {26234, 69017}, {26235, 70103}, {26724, 33121}, {26812, 63497}, {27478, 70940}, {28612, 50190}, {29655, 69253}, {29686, 59628}, {29817, 32932}, {29818, 72204}, {29823, 50302}, {29836, 72029}, {29837, 33150}, {29843, 33131}, {29844, 71989}, {29845, 33147}, {29851, 33167}, {30942, 31025}, {31017, 49676}, {31037, 33069}, {31071, 70906}, {32860, 49678}, {32914, 37639}, {32922, 37633}, {33108, 69715}, {33134, 48627}, {35312, 60720}, {35595, 62222}, {36494, 42720}, {36565, 56768}, {37632, 68963}, {41847, 71415}, {42051, 49461}, {42697, 53381}, {42871, 71927}, {44841, 63131}, {45222, 62821}, {48571, 70936}, {49462, 70995}, {49474, 72163}, {49493, 62227}, {49498, 72161}, {49499, 63961}, {49529, 71102}, {49532, 64178}, {49715, 60706}, {51055, 62296}, {51706, 69280}, {52716, 69699}, {58451, 72057}, {61186, 64133}, {62814, 71981}, {64010, 72160}, {69296, 72001}

X(72304) = reflection of X(31035) in X(30950)
X(72304) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17495, 64161}, {2, 17140, 17165}, {2, 17154, 984}, {2, 20068, 756}, {2, 24349, 3952}, {2, 31302, 9330}, {75, 64149, 29824}, {244, 24325, 2}, {354, 4359, 17135}, {756, 42055, 20068}, {894, 7292, 70483}, {3210, 29814, 27804}, {3218, 16823, 71478}, {3720, 24165, 17147}, {3739, 3999, 46909}, {3757, 27003, 71479}, {3873, 19804, 4651}, {3881, 28611, 8}, {3952, 17140, 24349}, {3952, 24349, 17165}, {4361, 71933, 17162}, {5211, 26806, 33112}, {17063, 32771, 2}, {17155, 26102, 3995}, {17740, 38053, 29830}, {49676, 69252, 31017}

X(72305) = X(1)X(26688)∩X(2)X(38)

X(72305) lies on these lines: {1, 26688}, {2, 38}, {8, 3884}, {10, 25253}, {37, 25277}, {42, 31035}, {43, 3995}, {45, 53338}, {55, 17780}, {75, 71117}, {210, 4358}, {312, 4651}, {321, 3740}, {329, 17491}, {344, 71013}, {392, 4723}, {518, 72057}, {748, 20045}, {899, 3971}, {908, 69250}, {960, 52353}, {976, 56983}, {1150, 3715}, {1376, 4427}, {1621, 3699}, {1639, 65660}, {1698, 56318}, {1757, 37639}, {1961, 19717}, {1997, 64153}, {2664, 31036}, {2886, 30566}, {3006, 3452}, {3216, 4075}, {3219, 5205}, {3240, 3725}, {3242, 71982}, {3290, 69505}, {3305, 26227}, {3306, 71793}, {3617, 19582}, {3661, 71030}, {3681, 18743}, {3687, 69301}, {3697, 3702}, {3701, 5044}, {3706, 58629}, {3711, 71929}, {3717, 69134}, {3720, 4090}, {3742, 17146}, {3745, 41241}, {3748, 72077}, {3757, 35595}, {3764, 27036}, {3782, 24988}, {3816, 4126}, {3823, 48646}, {3846, 31079}, {3873, 30829}, {3876, 17751}, {3890, 44720}, {3891, 37679}, {3896, 35652}, {3898, 4738}, {3914, 59684}, {3920, 70483}, {3932, 5741}, {3935, 72059}, {3967, 4359}, {3969, 4023}, {3974, 63003}, {3977, 20103}, {3979, 72087}, {4080, 17889}, {4134, 49999}, {4135, 4937}, {4383, 17150}, {4387, 71927}, {4388, 60459}, {4413, 32933}, {4423, 59597}, {4424, 59669}, {4430, 30947}, {4487, 5919}, {4517, 20352}, {4645, 26792}, {4656, 59686}, {4661, 17145}, {4671, 4903}, {4679, 5014}, {4687, 71456}, {4696, 25917}, {4737, 71730}, {4742, 71723}, {4756, 9342}, {4767, 5284}, {4849, 50778}, {4981, 30818}, {5084, 36500}, {5220, 71984}, {5233, 32862}, {5268, 26223}, {5271, 30393}, {5272, 71794}, {5285, 26262}, {5293, 11319}, {5297, 27064}, {5316, 63147}, {5743, 69296}, {6327, 31018}, {6382, 41314}, {6686, 46901}, {7033, 27807}, {7035, 55026}, {7081, 27065}, {7308, 59599}, {8270, 28996}, {8580, 56082}, {8582, 52354}, {8620, 63481}, {9350, 32934}, {9458, 17596}, {9564, 58818}, {9780, 17164}, {10327, 18228}, {10453, 46938}, {11681, 27690}, {16569, 17495}, {16704, 29649}, {16788, 30729}, {17122, 32938}, {17123, 32927}, {17124, 32935}, {17125, 32920}, {17126, 70742}, {17142, 17259}, {17155, 62711}, {17162, 71932}, {17184, 62673}, {17260, 71459}, {17335, 71415}, {17338, 29681}, {17763, 19742}, {17777, 33110}, {18137, 40607}, {18140, 20247}, {18142, 40216}, {19998, 32915}, {20011, 21805}, {20347, 30758}, {20892, 58693}, {21093, 69253}, {21271, 56249}, {21282, 24703}, {21827, 72144}, {22016, 58655}, {24589, 58451}, {25006, 62297}, {25120, 27136}, {25290, 71897}, {25294, 27811}, {25295, 27268}, {25531, 62814}, {25568, 29830}, {25734, 64112}, {25960, 33165}, {25961, 33101}, {26030, 59666}, {26037, 31025}, {26038, 28605}, {26073, 33102}, {26094, 67979}, {26791, 33107}, {27003, 62222}, {27045, 30584}, {27131, 29641}, {29674, 31037}, {29687, 31017}, {29815, 70485}, {29823, 70942}, {29844, 72044}, {29872, 30867}, {30568, 32929}, {30957, 49448}, {31086, 70906}, {32860, 62227}, {32922, 37687}, {32926, 37680}, {32936, 56009}, {33090, 53672}, {33093, 63002}, {36863, 40087}, {37762, 59491}, {40998, 49991}, {41242, 71981}, {44307, 46897}, {46904, 72054}, {49514, 70999}, {49992, 59718}, {53363, 59518}, {56185, 70160}, {56881, 68345}, {59547, 62660}, {60423, 69251}, {61155, 71529}, {62236, 72160}, {62659, 71489}, {62706, 68350}, {62838, 72053}, {62862, 72079}, {67209, 72089}, {68963, 71562}, {69252, 69297}

X(72305) = barycentric product X(3952)*X(26775)
X(72305) = barycentric quotient X(26775)/X(7192)
X(72305) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3952, 17165}, {2, 17154, 17063}, {2, 20068, 244}, {2, 27538, 3952}, {2, 32937, 17140}, {38, 24003, 2}, {42, 59517, 31035}, {43, 3995, 64161}, {43, 64178, 3995}, {210, 4358, 17135}, {210, 59506, 4358}, {244, 42054, 20068}, {312, 63961, 4651}, {756, 59511, 2}, {899, 3971, 17147}, {3219, 5205, 71479}, {3240, 41839, 27804}, {3681, 18743, 29824}, {3740, 4009, 321}, {3842, 31264, 2}, {3846, 69298, 31079}, {3876, 46937, 17751}, {3891, 37679, 68958}, {3914, 59684, 71102}, {3952, 17140, 32937}, {3967, 61686, 4359}, {3992, 10176, 8}, {4096, 24003, 38}, {4671, 59296, 17163}, {4756, 9342, 32939}, {4903, 59296, 4671}, {5044, 59582, 3701}, {5205, 72055, 3219}, {5297, 27064, 70482}, {7081, 27065, 71478}, {16569, 32925, 17495}, {17140, 32937, 17165}, {25917, 59577, 4696}, {29687, 69299, 31017}, {30568, 67097, 32929}, {42056, 59511, 756}, {44307, 59596, 46897}

X(72306) = X(1)X(4234)∩X(2)X(18201)

X(72306) lies on these lines: {1, 4234}, {2, 18201}, {6, 24165}, {7, 2887}, {10, 553}, {31, 17140}, {38, 50302}, {45, 25501}, {55, 49479}, {57, 1215}, {63, 24325}, {75, 8033}, {81, 17155}, {171, 24349}, {190, 26102}, {192, 4038}, {244, 26223}, {320, 32778}, {354, 3923}, {518, 3980}, {527, 4703}, {537, 612}, {596, 62805}, {597, 59477}, {614, 4672}, {726, 940}, {740, 62819}, {750, 17165}, {756, 26627}, {894, 982}, {996, 3919}, {1086, 25453}, {1155, 29670}, {1468, 39766}, {1757, 19804}, {1836, 29655}, {1961, 49447}, {1999, 49493}, {2886, 7228}, {3052, 71517}, {3210, 4649}, {3218, 32771}, {3242, 72204}, {3306, 59511}, {3315, 72198}, {3474, 36479}, {3662, 32780}, {3683, 24331}, {3705, 7840}, {3720, 32933}, {3741, 4363}, {3742, 4011}, {3745, 49455}, {3757, 4650}, {3758, 29821}, {3775, 19822}, {3782, 29635}, {3791, 62812}, {3831, 5708}, {3836, 33163}, {3840, 4860}, {3846, 5905}, {3870, 49491}, {3873, 4418}, {3905, 17103}, {3952, 17124}, {3961, 49499}, {3966, 17770}, {3971, 37674}, {3979, 51055}, {3982, 4138}, {3995, 9345}, {3996, 49498}, {3999, 29668}, {4001, 50308}, {4003, 29650}, {4031, 53663}, {4090, 4413}, {4104, 5850}, {4359, 32912}, {4361, 71925}, {4362, 49483}, {4365, 71933}, {4383, 71521}, {4385, 68482}, {4392, 32772}, {4425, 17276}, {4427, 62849}, {4430, 32945}, {4432, 4666}, {4438, 5249}, {4440, 29837}, {4527, 50043}, {4640, 29651}, {4641, 16825}, {4645, 33169}, {4654, 4892}, {4659, 39594}, {4660, 11246}, {4663, 72072}, {4670, 29644}, {4675, 29653}, {4676, 29820}, {4682, 28582}, {4685, 64070}, {4781, 17782}, {4865, 50307}, {4987, 17275}, {5220, 71977}, {5263, 62865}, {5268, 42054}, {5272, 50127}, {5287, 49456}, {5437, 24003}, {5542, 59692}, {5625, 62816}, {5695, 42057}, {5739, 17771}, {5743, 5852}, {5847, 62240}, {5880, 29673}, {6685, 17595}, {7191, 50300}, {7222, 21242}, {7262, 16823}, {7321, 17889}, {8580, 72241}, {8720, 19765}, {9337, 71636}, {9965, 50295}, {10180, 62818}, {11269, 48643}, {14996, 32928}, {16598, 28606}, {17018, 32845}, {17022, 72054}, {17063, 27064}, {17118, 62226}, {17122, 32937}, {17123, 17350}, {17126, 32923}, {17135, 54352}, {17146, 62869}, {17147, 50281}, {17150, 62846}, {17154, 70482}, {17234, 33164}, {17300, 33092}, {17347, 72010}, {17354, 72003}, {17364, 32861}, {17365, 32946}, {17379, 17600}, {17449, 24552}, {17483, 25760}, {17484, 25960}, {17495, 61358}, {17593, 59297}, {17597, 49482}, {17598, 70419}, {17599, 33682}, {17754, 30982}, {17778, 32855}, {18134, 33167}, {18139, 33161}, {19684, 46901}, {19825, 50312}, {20101, 49506}, {20106, 43180}, {20292, 33120}, {21342, 29652}, {23958, 32918}, {24169, 38047}, {24231, 26128}, {24586, 31317}, {24693, 25006}, {24725, 69134}, {24841, 72019}, {25557, 29642}, {25590, 27798}, {25957, 26842}, {25961, 33166}, {26061, 69251}, {26229, 30801}, {26232, 31115}, {26580, 71797}, {26840, 32784}, {27003, 32931}, {27186, 33115}, {28605, 32919}, {28610, 39581}, {29631, 33146}, {29645, 53601}, {29649, 37520}, {29659, 33068}, {29667, 33067}, {29669, 44419}, {29678, 51583}, {29685, 32950}, {29814, 32936}, {29829, 33145}, {29835, 33094}, {29843, 33095}, {29844, 63979}, {29845, 33151}, {30566, 72046}, {30957, 41242}, {31019, 33119}, {31330, 62235}, {32773, 32857}, {32777, 49676}, {32779, 33069}, {32848, 63056}, {32859, 69252}, {32860, 49497}, {32914, 62795}, {32917, 67335}, {32922, 62841}, {32924, 37685}, {32925, 37633}, {32926, 37604}, {32929, 62867}, {32930, 64149}, {32932, 49490}, {32949, 33089}, {33070, 64164}, {33114, 69253}, {33132, 48627}, {33137, 42697}, {34064, 49445}, {34255, 48644}, {35633, 50044}, {37540, 71520}, {37559, 64429}, {37679, 71515}, {41338, 59620}, {41711, 49535}, {42034, 70219}, {42051, 49488}, {42871, 71918}, {49448, 71981}, {49472, 62845}, {49473, 62850}, {49474, 71935}, {49560, 50048}, {49598, 62858}, {49712, 59296}, {50117, 71922}, {50283, 72070}, {50314, 62823}, {50756, 71914}, {62236, 71917}, {62814, 72201}, {62844, 68895}, {62863, 71452}, {64010, 72164}, {67208, 69539}, {67210, 72017}, {69250, 71795}, {69296, 72007}

X(72306) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 32939, 32934}, {2, 32940, 32935}, {75, 32913, 32853}, {81, 17155, 32921}, {171, 24349, 32920}, {244, 26223, 70942}, {894, 982, 25496}, {3218, 32771, 32916}, {3705, 50128, 33097}, {3742, 17351, 4011}, {3873, 4418, 32941}, {4440, 29837, 33154}, {4650, 31178, 3757}, {4672, 42053, 614}, {4697, 42055, 1}, {7321, 33121, 17889}, {17147, 62821, 50281}, {17365, 69091, 32946}, {24165, 71518, 6}, {25557, 44416, 29642}, {26627, 71793, 756}, {26842, 33170, 25957}, {37604, 49532, 32926}, {41242, 65112, 30957}, {49535, 71450, 41711}

X(72307) = X(9)X(1215)∩X(43)X(190)

X(72307) lies on these lines: {1, 33309}, {2, 18201}, {6, 3971}, {8, 48644}, {9, 1215}, {10, 1836}, {31, 3952}, {37, 23543}, {38, 70942}, {43, 190}, {44, 3967}, {45, 43223}, {55, 4090}, {57, 24003}, {63, 59511}, {81, 64178}, {171, 16995}, {200, 72241}, {210, 3923}, {238, 32920}, {244, 26688}, {312, 1757}, {329, 2887}, {346, 71663}, {518, 4011}, {519, 4387}, {527, 62673}, {537, 614}, {612, 4096}, {645, 69892}, {726, 4383}, {740, 56082}, {748, 17165}, {752, 10327}, {756, 26223}, {846, 17336}, {874, 25287}, {894, 72055}, {899, 32933}, {908, 4438}, {940, 59517}, {982, 62222}, {984, 25496}, {1046, 46937}, {1051, 17393}, {1707, 4434}, {1743, 3791}, {1961, 3758}, {2325, 4028}, {2345, 70972}, {3052, 59597}, {3175, 49488}, {3187, 3994}, {3219, 32916}, {3240, 32936}, {3242, 72206}, {3305, 24325}, {3416, 69297}, {3434, 49693}, {3550, 3699}, {3681, 32930}, {3683, 29670}, {3711, 71450}, {3717, 4865}, {3731, 10180}, {3740, 3980}, {3741, 5220}, {3750, 71524}, {3751, 30568}, {3765, 58287}, {3772, 21093}, {3773, 5739}, {3790, 32861}, {3831, 3927}, {3836, 5905}, {3846, 31018}, {3870, 4432}, {3920, 50300}, {3932, 32946}, {3944, 33118}, {3961, 4676}, {3985, 69218}, {3992, 49500}, {3995, 50281}, {4009, 4641}, {4075, 62805}, {4082, 5847}, {4104, 17355}, {4112, 5526}, {4126, 63979}, {4134, 48863}, {4135, 71921}, {4203, 52923}, {4252, 59598}, {4292, 59685}, {4358, 32912}, {4361, 4942}, {4363, 71977}, {4365, 71932}, {4388, 33165}, {4415, 25453}, {4417, 33164}, {4418, 63961}, {4422, 29642}, {4423, 49479}, {4425, 38047}, {4429, 33099}, {4439, 33088}, {4473, 29839}, {4640, 59596}, {4649, 41839}, {4650, 5205}, {4655, 17781}, {4661, 32943}, {4663, 35652}, {4666, 49491}, {4671, 32864}, {4679, 29655}, {4682, 71638}, {4683, 29679}, {4685, 5695}, {4693, 20012}, {4697, 5268}, {4734, 25269}, {4753, 17156}, {4756, 32911}, {4759, 71520}, {4854, 50287}, {4863, 49697}, {4883, 72096}, {4892, 28609}, {4903, 37683}, {4937, 71916}, {4970, 17262}, {5057, 33117}, {5233, 33167}, {5256, 49456}, {5272, 42055}, {5687, 70741}, {5741, 33161}, {5852, 72001}, {6048, 63996}, {6327, 69298}, {6646, 33174}, {6686, 17595}, {6745, 59544}, {7081, 7262}, {7226, 32944}, {9316, 62669}, {9352, 9458}, {10453, 49712}, {11814, 17728}, {14997, 32924}, {15254, 29651}, {15481, 44417}, {16468, 32926}, {16569, 32939}, {16885, 72208}, {17017, 41241}, {17123, 24349}, {17125, 17140}, {17127, 32927}, {17155, 37680}, {17261, 17592}, {17276, 24169}, {17279, 33064}, {17280, 33084}, {17281, 21085}, {17339, 33158}, {17347, 33085}, {17352, 33147}, {17353, 26128}, {17354, 32783}, {17449, 71982}, {17483, 25961}, {17484, 25957}, {17593, 59298}, {17594, 25728}, {17598, 31302}, {17599, 49520}, {17766, 30615}, {17772, 63009}, {17777, 33141}, {17793, 56507}, {18743, 32913}, {19742, 71117}, {20942, 70219}, {21060, 59579}, {21077, 59639}, {21805, 32929}, {24165, 37679}, {24703, 29673}, {24725, 69250}, {25079, 62858}, {25760, 26792}, {25960, 33170}, {26061, 26580}, {26098, 27549}, {26227, 71630}, {26265, 30801}, {26685, 33144}, {27065, 32771}, {27131, 33119}, {27184, 33159}, {29641, 33096}, {29652, 49515}, {29662, 30566}, {29674, 33066}, {29687, 32859}, {29818, 72022}, {29820, 49499}, {29821, 49447}, {29828, 59624}, {29850, 33151}, {30578, 33142}, {30957, 62235}, {31034, 69295}, {31035, 62821}, {31053, 33115}, {31330, 41242}, {32777, 69299}, {32843, 32862}, {32848, 63010}, {32852, 69301}, {32855, 63002}, {32915, 49497}, {32928, 63074}, {32942, 49448}, {33065, 33157}, {33092, 62998}, {33114, 69173}, {33137, 56084}, {37674, 71518}, {40998, 49529}, {41711, 71414}, {42057, 64070}, {42819, 72090}, {49470, 72081}, {49474, 71931}, {49498, 72160}, {49536, 64162}, {50283, 72065}, {50752, 66465}, {50756, 63060}, {51902, 56312}, {51949, 69901}, {59637, 60912}, {59666, 69227}, {60353, 69493}, {62236, 71452}, {62659, 72205}, {62862, 72092}, {62865, 71980}, {62866, 72098}, {64010, 72161}, {67208, 72052}, {67210, 72018}, {69024, 71641}, {69134, 71795}, {69233, 70946}, {69251, 71797}, {69296, 72008}, {70520, 71637}, {70677, 72245}

X(72307) = barycentric product X(i)*X(j) for these {i,j}: {75, 69228}, {190, 47835}
X(72307) = barycentric quotient X(i)/X(j) for these {i,j}: {47835, 514}, {69228, 1}
X(72307) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 32938, 32935}, {43, 190, 32934}, {44, 3967, 4362}, {238, 32937, 32920}, {312, 1757, 32853}, {756, 26223, 50302}, {984, 27064, 25496}, {3052, 59597, 70841}, {3219, 32931, 32916}, {3681, 32930, 32941}, {3740, 17351, 3980}, {3971, 71515, 6}, {3995, 61358, 50281}, {4009, 4641, 29649}, {4096, 4672, 612}, {4697, 42056, 5268}, {4756, 32911, 32925}, {5268, 50127, 4697}, {17350, 27538, 171}, {21060, 59579, 59692}, {26688, 71793, 244}, {26792, 33166, 25760}, {31018, 33163, 3846}, {31302, 70485, 17598}, {32911, 32925, 32921}, {32937, 70742, 238}, {59517, 71521, 940}

X(72308) = X(1)X(41241)∩X(2)X(18201)

X(72308) lies on these lines: {1, 41241}, {2, 18201}, {6, 64178}, {9, 2225}, {10, 3245}, {31, 27538}, {36, 6789}, {43, 32936}, {44, 4009}, {81, 59517}, {149, 49693}, {190, 899}, {191, 59666}, {210, 32930}, {238, 3952}, {239, 3994}, {244, 62222}, {312, 32864}, {320, 70877}, {329, 25957}, {484, 59669}, {527, 60423}, {537, 7292}, {645, 70443}, {678, 72056}, {726, 4756}, {748, 32923}, {750, 17350}, {752, 60459}, {756, 16830}, {896, 5205}, {902, 3699}, {908, 33115}, {982, 26688}, {984, 32944}, {1155, 9458}, {1203, 4075}, {1215, 27065}, {1621, 4090}, {1757, 4358}, {1914, 71641}, {2177, 71524}, {2887, 26792}, {3218, 24003}, {3219, 32918}, {3305, 32771}, {3452, 33119}, {3681, 4011}, {3683, 59596}, {3685, 21805}, {3711, 71451}, {3712, 4370}, {3715, 31330}, {3717, 32844}, {3740, 4418}, {3748, 72091}, {3757, 71630}, {3773, 37656}, {3836, 17484}, {3846, 33166}, {3871, 70741}, {3876, 54331}, {3920, 4096}, {3923, 63961}, {3932, 32843}, {3935, 4432}, {3943, 14459}, {3961, 72057}, {3967, 32914}, {3971, 32911}, {3975, 58287}, {4023, 17340}, {4062, 17264}, {4126, 72231}, {4365, 71931}, {4383, 32924}, {4387, 72162}, {4388, 69298}, {4414, 17336}, {4415, 29850}, {4422, 29632}, {4427, 56009}, {4438, 27131}, {4439, 32842}, {4641, 59506}, {4649, 31035}, {4663, 72065}, {4664, 67211}, {4672, 5297}, {4679, 33120}, {4693, 19998}, {4703, 29679}, {4716, 62227}, {4759, 4767}, {4871, 62235}, {4880, 49993}, {4883, 72098}, {4886, 6535}, {4903, 37652}, {4937, 50756}, {4938, 17310}, {5121, 26272}, {5220, 30942}, {5233, 33161}, {5695, 72161}, {5741, 33164}, {5905, 25961}, {6685, 33761}, {7191, 42054}, {7226, 70942}, {9330, 50302}, {9364, 62669}, {14997, 32921}, {15481, 30818}, {16569, 32933}, {16823, 31161}, {16885, 72202}, {17011, 72054}, {17012, 49456}, {17063, 71793}, {17123, 17165}, {17125, 24349}, {17155, 37679}, {17261, 46904}, {17279, 33065}, {17280, 69300}, {17339, 33156}, {17347, 72007}, {17351, 61686}, {17352, 33143}, {17353, 32775}, {17354, 72002}, {17449, 25531}, {17491, 31151}, {17777, 33136}, {17779, 69539}, {17781, 33067}, {18228, 25960}, {18743, 32912}, {21093, 33129}, {23343, 69701}, {24165, 37687}, {24325, 35595}, {24697, 26251}, {24703, 33117}, {24709, 26015}, {24715, 71102}, {24988, 32857}, {25591, 41229}, {25760, 31018}, {26580, 33159}, {29687, 33066}, {29824, 49712}, {29827, 51297}, {29857, 31142}, {30566, 33140}, {30568, 32915}, {30578, 33139}, {30947, 54352}, {31289, 33148}, {32848, 63002}, {32860, 56082}, {32861, 69301}, {33075, 69297}, {33092, 63010}, {33096, 69250}, {33118, 69173}, {33157, 69299}, {33888, 70910}, {35992, 52923}, {37633, 71521}, {41711, 72159}, {41839, 61358}, {42819, 72092}, {49448, 71978}, {49478, 72097}, {49709, 49996}, {49710, 49994}, {49995, 62231}, {59685, 64002}, {62236, 71414}, {62659, 72197}, {62846, 71635}, {62865, 71982}, {62875, 67066}, {62998, 69295}, {64070, 72163}, {67210, 72020}, {68750, 71869}, {68754, 71444}, {69296, 72010}, {70520, 72051}

X(72308) = midpoint of X(4756) and X(37680)
X(72308) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 32938, 32940}, {9, 32931, 32917}, {44, 4009, 17763}, {190, 899, 32845}, {210, 32930, 32945}, {238, 3952, 32927}, {748, 32937, 32923}, {756, 27064, 32772}, {1757, 4358, 32919}, {3219, 59511, 32918}, {3681, 4011, 32943}, {3971, 32911, 32928}, {4383, 32925, 32924}, {4432, 72241, 3935}, {4672, 42056, 5297}, {4759, 70841, 70834}, {4767, 70834, 70841}, {17781, 62673, 33067}, {18228, 33163, 25960}, {27064, 72055, 756}, {27538, 70742, 31}, {59517, 71515, 81}

X(72309) = X(1)X(42053)∩X(2)X(18201)

X(72309) lies on these lines: {1, 42053}, {2, 18201}, {7, 3846}, {10, 5708}, {38, 26627}, {57, 24325}, {86, 17591}, {142, 4438}, {190, 25502}, {200, 49491}, {244, 25496}, {354, 3980}, {537, 5268}, {553, 4655}, {612, 42055}, {614, 4697}, {726, 37674}, {750, 17140}, {894, 17063}, {940, 24165}, {982, 50302}, {1086, 29635}, {1125, 59544}, {1155, 29651}, {1215, 3306}, {1376, 49479}, {2094, 50297}, {3210, 4038}, {3315, 72201}, {3338, 49598}, {3689, 72090}, {3720, 32934}, {3741, 4860}, {3742, 3923}, {3771, 25557}, {3773, 18141}, {3816, 7228}, {3836, 9776}, {3840, 4363}, {3848, 17351}, {3928, 59624}, {3944, 7321}, {3999, 29652}, {4003, 29644}, {4138, 60980}, {4359, 32853}, {4361, 71922}, {4362, 37520}, {4383, 71518}, {4418, 64149}, {4432, 10582}, {4640, 24331}, {4649, 17490}, {4650, 16823}, {4651, 54352}, {4670, 29650}, {4672, 5272}, {4675, 29671}, {4682, 49455}, {4847, 24693}, {4849, 72096}, {4974, 62812}, {5437, 59511}, {5880, 29655}, {6682, 10436}, {6685, 70256}, {7081, 31178}, {9335, 32944}, {9345, 17147}, {10980, 50314}, {14555, 17771}, {14996, 32924}, {17022, 49456}, {17122, 24349}, {17124, 17165}, {17155, 37633}, {17234, 33167}, {17300, 32855}, {17449, 71979}, {17450, 32929}, {17483, 25960}, {17495, 62821}, {17592, 62300}, {17595, 43223}, {17597, 72204}, {17598, 70484}, {17723, 23812}, {17728, 25385}, {17772, 63057}, {19804, 32913}, {21342, 36480}, {21454, 50295}, {23958, 32917}, {24167, 43531}, {24239, 50116}, {24260, 28600}, {24589, 32912}, {24715, 29843}, {24850, 64675}, {25453, 40688}, {25760, 26842}, {25961, 33170}, {26037, 62235}, {26038, 49712}, {26040, 49693}, {26065, 31289}, {26102, 32939}, {26806, 33111}, {27003, 32771}, {27186, 33119}, {29649, 49483}, {29661, 51583}, {29814, 32845}, {29818, 72017}, {29837, 33149}, {29840, 50301}, {29844, 72228}, {29845, 33146}, {30746, 31071}, {30942, 65112}, {30950, 32933}, {32922, 37604}, {33096, 50128}, {33135, 48627}, {33144, 58443}, {37540, 71517}, {37679, 71521}, {37682, 59517}, {38000, 40328}, {38476, 70499}, {39581, 65384}, {42029, 70219}, {42697, 48643}, {42871, 71450}, {49457, 62823}, {49474, 71930}, {49484, 58560}, {49497, 62819}, {49498, 71926}, {50313, 62673}, {50608, 67301}, {62805, 64431}, {62863, 71451}, {62865, 71981}, {64010, 72163}, {67210, 72021}, {69296, 72011}

X(72309) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {57, 24325, 32916}, {354, 3980, 32941}, {614, 4697, 50300}, {750, 17140, 32920}, {894, 17063, 70942}, {940, 24165, 32921}, {3210, 4038, 50281}, {10436, 18193, 6682}

X(72310) = X(1)X(4096)∩X(2)X(18201)

X(72310) lies on these lines: {1, 4096}, {2, 18201}, {6, 59517}, {9, 1755}, {10, 381}, {38, 26688}, {44, 29649}, {45, 6685}, {63, 24003}, {171, 70742}, {190, 16569}, {200, 4432}, {210, 4011}, {238, 27538}, {329, 3836}, {497, 49693}, {516, 59684}, {537, 5272}, {612, 42056}, {614, 42054}, {726, 37679}, {740, 30568}, {748, 3952}, {756, 25496}, {846, 72053}, {899, 32934}, {940, 71515}, {984, 70942}, {1001, 4090}, {1215, 3305}, {1757, 18743}, {2887, 31018}, {2999, 49456}, {3052, 4759}, {3295, 70741}, {3452, 4438}, {3699, 8616}, {3711, 71918}, {3715, 3741}, {3730, 59690}, {3740, 3923}, {3748, 72089}, {3771, 4422}, {3773, 14555}, {3840, 5220}, {3846, 18228}, {3870, 72241}, {3927, 46827}, {3938, 72057}, {3966, 69297}, {3967, 16825}, {3971, 4383}, {3980, 61686}, {4009, 4362}, {4135, 4361}, {4358, 32853}, {4387, 4685}, {4427, 9350}, {4527, 42032}, {4655, 62673}, {4672, 5268}, {4679, 29673}, {4693, 59295}, {4753, 39594}, {4756, 17155}, {4903, 17349}, {4942, 50117}, {4952, 49696}, {5205, 7262}, {5233, 33164}, {5256, 72054}, {5311, 41241}, {5625, 25430}, {6679, 26685}, {7308, 24325}, {8167, 49479}, {8669, 59598}, {9330, 32772}, {10164, 15828}, {10582, 49491}, {12572, 59685}, {14997, 32928}, {15254, 29670}, {15601, 59599}, {16885, 71489}, {17063, 62222}, {17122, 17350}, {17123, 32937}, {17125, 17165}, {17279, 69299}, {17336, 17596}, {17338, 33130}, {17339, 33160}, {17347, 72009}, {17351, 58451}, {17352, 33152}, {17354, 72004}, {17484, 25961}, {17717, 26791}, {17771, 18141}, {17772, 63037}, {17777, 32865}, {17781, 60423}, {18193, 58467}, {20103, 59544}, {21093, 24789}, {24892, 30566}, {24988, 33098}, {25079, 41229}, {25531, 62865}, {25957, 26792}, {25960, 33166}, {26037, 41242}, {26065, 58443}, {27064, 50302}, {27065, 32931}, {27131, 33115}, {29668, 49515}, {29818, 72024}, {30393, 50314}, {30746, 31086}, {30829, 32913}, {31035, 61358}, {31289, 33144}, {32771, 35595}, {32911, 64178}, {32919, 46938}, {32924, 63096}, {32925, 37680}, {32930, 63961}, {32939, 62711}, {33092, 63002}, {33094, 71102}, {35652, 49488}, {36845, 49701}, {37559, 64437}, {37674, 71521}, {41839, 50281}, {46937, 68482}, {48643, 56084}, {49448, 71980}, {49478, 72095}, {49484, 58629}, {51090, 59686}, {59572, 59665}, {59597, 71520}, {59669, 69226}, {60714, 71524}, {62236, 72159}, {62862, 72091}, {62866, 72097}, {63010, 69295}, {67210, 72022}, {67211, 72052}, {69296, 72012}

X(72310) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 59511, 32916}, {44, 59506, 29649}, {210, 4011, 32941}, {748, 3952, 32920}, {3971, 4383, 32921}, {4756, 37687, 17155}, {15254, 59596, 29670}

X(72311) = X(1)X(75)∩X(2)X(17598)

X(72311) lies on these lines: {1, 75}, {2, 17598}, {6, 49479}, {7, 752}, {8, 3836}, {9, 537}, {10, 3242}, {31, 17140}, {37, 24331}, {45, 49520}, {55, 24165}, {57, 42053}, {63, 42055}, {142, 519}, {145, 4716}, {190, 15485}, {192, 16484}, {238, 17350}, {239, 49490}, {244, 26227}, {312, 29820}, {333, 18173}, {344, 4439}, {354, 4362}, {390, 17764}, {497, 48643}, {518, 16825}, {528, 7263}, {536, 42819}, {551, 3950}, {594, 50311}, {596, 5248}, {614, 1215}, {726, 1001}, {748, 17165}, {750, 20045}, {756, 71794}, {894, 31178}, {956, 21084}, {966, 4407}, {982, 3757}, {984, 16823}, {993, 16684}, {1086, 4660}, {1125, 4078}, {1150, 17449}, {1278, 4693}, {1279, 3923}, {1376, 71520}, {1621, 17155}, {1698, 4929}, {1738, 49466}, {1757, 49499}, {2099, 30097}, {2177, 17495}, {2321, 49768}, {2550, 17765}, {2886, 29844}, {3008, 49529}, {3187, 62867}, {3210, 3750}, {3216, 29446}, {3241, 50299}, {3244, 49486}, {3246, 17351}, {3295, 67983}, {3305, 42054}, {3306, 4434}, {3315, 30942}, {3416, 49676}, {3452, 59730}, {3616, 17280}, {3624, 17341}, {3662, 33076}, {3664, 49684}, {3666, 29651}, {3677, 6682}, {3679, 17228}, {3685, 49493}, {3686, 49505}, {3689, 72235}, {3696, 4864}, {3699, 62711}, {3703, 29642}, {3705, 33130}, {3720, 3891}, {3729, 4432}, {3739, 36480}, {3741, 17597}, {3742, 29649}, {3744, 3980}, {3748, 42051}, {3751, 4974}, {3752, 29670}, {3759, 50283}, {3771, 69091}, {3772, 29655}, {3791, 62819}, {3813, 25365}, {3826, 9053}, {3842, 7174}, {3846, 33144}, {3872, 67059}, {3873, 32853}, {3879, 50017}, {3883, 4655}, {3889, 27368}, {3896, 67209}, {3938, 4359}, {3952, 17125}, {3957, 32860}, {3961, 19804}, {3966, 33064}, {3971, 4423}, {3979, 72076}, {3993, 49453}, {4000, 4085}, {4030, 40688}, {4068, 68895}, {4090, 37679}, {4096, 7308}, {4307, 39567}, {4310, 50295}, {4312, 28494}, {4353, 50290}, {4357, 50285}, {4363, 49482}, {4365, 71928}, {4384, 16496}, {4388, 33103}, {4392, 32917}, {4398, 49746}, {4413, 70841}, {4418, 62806}, {4430, 32864}, {4514, 17889}, {4645, 49506}, {4653, 56023}, {4659, 35227}, {4663, 72096}, {4672, 7290}, {4675, 49681}, {4679, 21093}, {4685, 41711}, {4686, 4702}, {4697, 62834}, {4699, 36534}, {4704, 60690}, {4709, 17119}, {4726, 49485}, {4751, 36531}, {4759, 8692}, {4859, 25351}, {4860, 72207}, {4865, 5249}, {4906, 29668}, {4968, 28082}, {4989, 59408}, {5014, 69253}, {5045, 17733}, {5211, 17717}, {5259, 64429}, {5271, 62850}, {5272, 59511}, {5284, 32925}, {5289, 20258}, {5524, 72079}, {5542, 5847}, {5695, 50117}, {5698, 17767}, {5839, 51099}, {5846, 25557}, {5880, 17766}, {6646, 50296}, {6703, 29842}, {7081, 17063}, {7191, 25496}, {7227, 48810}, {7232, 50304}, {7292, 32931}, {7321, 49709}, {8167, 59517}, {8616, 32939}, {8666, 51687}, {8669, 25524}, {8715, 24176}, {11038, 17772}, {15254, 28582}, {15569, 49463}, {15570, 28581}, {15624, 72142}, {16020, 31289}, {16497, 71413}, {16499, 71947}, {16675, 50777}, {16704, 17146}, {16706, 29659}, {16710, 71784}, {16814, 49513}, {16830, 40328}, {17000, 71502}, {17018, 32924}, {17024, 32772}, {17045, 48822}, {17061, 29635}, {17117, 49459}, {17118, 48805}, {17123, 32937}, {17127, 32940}, {17135, 62869}, {17147, 62849}, {17148, 25255}, {17150, 62821}, {17154, 36263}, {17156, 62815}, {17234, 32847}, {17239, 51003}, {17243, 28503}, {17246, 49740}, {17257, 50297}, {17261, 49517}, {17265, 49769}, {17275, 47358}, {17276, 53601}, {17277, 24841}, {17289, 29660}, {17299, 49764}, {17300, 50015}, {17306, 48851}, {17309, 49767}, {17335, 49501}, {17336, 24821}, {17342, 25055}, {17349, 49712}, {17353, 50313}, {17354, 72030}, {17366, 50287}, {17370, 36478}, {17376, 28538}, {17490, 60714}, {17599, 43223}, {17601, 62300}, {17715, 32932}, {17718, 71085}, {17721, 25385}, {17763, 64149}, {17769, 38053}, {18134, 32866}, {18139, 32854}, {18201, 71477}, {19684, 29819}, {20172, 27478}, {21951, 70946}, {24174, 68889}, {24199, 24693}, {24217, 37759}, {24437, 54335}, {24542, 33161}, {24552, 29818}, {24620, 56009}, {24629, 26247}, {24715, 48627}, {24789, 29673}, {25440, 64431}, {25760, 33148}, {25957, 33090}, {25960, 33153}, {25961, 33091}, {26102, 32926}, {26580, 71798}, {26688, 71630}, {26724, 33117}, {26806, 50301}, {27147, 50286}, {27186, 33072}, {27777, 50533}, {28313, 51103}, {28498, 59372}, {28516, 38316}, {28542, 47357}, {28554, 55998}, {28558, 60933}, {28580, 30331}, {28605, 32943}, {28628, 49613}, {28639, 51061}, {29632, 33089}, {29638, 32779}, {29652, 31993}, {29667, 33123}, {29672, 32777}, {29675, 32851}, {29677, 69296}, {29681, 33119}, {29685, 32774}, {29689, 33113}, {29814, 32928}, {29817, 32915}, {29830, 32848}, {29835, 33128}, {29836, 72213}, {29839, 32855}, {29840, 33111}, {29843, 33135}, {29851, 32862}, {29853, 33157}, {30035, 62826}, {30566, 72044}, {31019, 32844}, {31330, 62814}, {32773, 33147}, {32778, 33124}, {32845, 61155}, {32947, 33146}, {33069, 33075}, {33074, 69251}, {33120, 33129}, {33122, 69252}, {33127, 69134}, {33682, 38315}, {39581, 50298}, {39594, 44841}, {42696, 50316}, {42697, 49700}, {42842, 64858}, {48900, 62429}, {49446, 49456}, {49478, 49488}, {49489, 68588}, {49498, 71934}, {49503, 60731}, {49511, 50308}, {49535, 64070}, {49554, 58463}, {49680, 50018}, {49683, 62844}, {49685, 64165}, {49695, 69755}, {49705, 64016}, {50106, 62862}, {50120, 51071}, {50309, 50999}, {50756, 71933}, {54318, 70433}, {55967, 56124}, {59620, 61086}, {59679, 70256}, {60353, 70467}, {62235, 72202}, {62236, 72161}, {62802, 64562}, {62863, 72164}, {63800, 64675}, {64010, 71452}, {67207, 72078}, {67210, 71979}, {69250, 71796}

X(72311) = midpoint of X(i) and X(j) for these {i,j}: {4361, 42871}, {30331, 53594}
X(72311) = reflection of X(4078) in X(1125)
X(72311) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 75, 32941}, {1, 3875, 49471}, {1, 24325, 50302}, {1, 32921, 50281}, {1, 32922, 32921}, {1, 49474, 68969}, {1, 50314, 49473}, {2, 32923, 32920}, {238, 24349, 32935}, {239, 49490, 49497}, {614, 1215, 70942}, {982, 3757, 32916}, {1279, 49483, 3923}, {1621, 17155, 32934}, {3662, 50310, 33076}, {3696, 4864, 49458}, {3739, 49465, 36480}, {3873, 32914, 32853}, {3883, 24231, 4655}, {4000, 36479, 4085}, {4384, 16496, 49457}, {4645, 70454, 49506}, {4906, 44417, 29668}, {4974, 49491, 3751}, {7191, 32771, 25496}, {15485, 49532, 190}, {16704, 17146, 54352}, {17119, 49460, 4709}, {17154, 71478, 36263}, {17277, 24841, 49448}, {17278, 49688, 10}, {24165, 71517, 55}, {24331, 49455, 37}, {49479, 50023, 6}, {49535, 71921, 64070}, {50117, 71414, 5695}

X(72312) = X(1)X(341)∩X(2)X(17598)

X(72312) lies on these lines: {1, 341}, {2, 17598}, {6, 4090}, {8, 3846}, {9, 4096}, {10, 3772}, {31, 3952}, {37, 29670}, {42, 50281}, {43, 3699}, {45, 71492}, {55, 3971}, {57, 537}, {63, 4434}, {100, 32925}, {142, 59730}, {171, 32935}, {183, 49521}, {190, 3550}, {192, 56180}, {200, 740}, {210, 4362}, {238, 27538}, {239, 72059}, {244, 71794}, {312, 3961}, {329, 752}, {345, 4439}, {497, 17765}, {516, 59732}, {518, 29649}, {519, 3452}, {612, 1215}, {614, 24003}, {668, 59510}, {726, 1376}, {730, 41276}, {748, 20045}, {750, 17165}, {756, 26227}, {874, 8026}, {899, 3891}, {908, 4865}, {946, 59731}, {958, 8669}, {968, 72054}, {976, 3701}, {982, 5205}, {984, 7081}, {997, 70433}, {1001, 59517}, {1104, 59577}, {1191, 59598}, {1279, 59506}, {1319, 50078}, {1386, 59596}, {1621, 64178}, {1757, 3769}, {1836, 21093}, {1921, 7033}, {1999, 49497}, {2177, 3995}, {2550, 48643}, {2887, 10327}, {2999, 49472}, {3008, 59684}, {3035, 4884}, {3158, 51435}, {3159, 8715}, {3175, 3689}, {3187, 21805}, {3210, 56009}, {3240, 32928}, {3242, 3840}, {3244, 38496}, {3305, 42056}, {3306, 42055}, {3416, 69299}, {3474, 17767}, {3507, 3905}, {3589, 29842}, {3679, 55095}, {3681, 17763}, {3711, 4685}, {3715, 72208}, {3717, 4438}, {3727, 70946}, {3740, 16825}, {3744, 4009}, {3748, 72235}, {3749, 4432}, {3750, 41839}, {3752, 49455}, {3771, 3932}, {3773, 3974}, {3790, 33160}, {3791, 72241}, {3811, 45131}, {3816, 9053}, {3836, 33144}, {3842, 7322}, {3870, 67066}, {3914, 49991}, {3920, 25496}, {3923, 3967}, {3924, 52353}, {3935, 32915}, {3938, 4358}, {3944, 32850}, {3950, 40869}, {3979, 72079}, {3985, 69214}, {3991, 20310}, {3994, 32929}, {4035, 49766}, {4039, 4517}, {4075, 5248}, {4078, 13405}, {4082, 59692}, {4095, 69225}, {4104, 50308}, {4125, 48863}, {4126, 35466}, {4135, 5695}, {4360, 42043}, {4365, 71927}, {4385, 5293}, {4387, 71918}, {4388, 70452}, {4413, 24165}, {4415, 4660}, {4417, 32847}, {4421, 17262}, {4423, 71517}, {4429, 33152}, {4527, 70517}, {4645, 33101}, {4650, 62222}, {4661, 32919}, {4663, 72095}, {4671, 32945}, {4672, 5269}, {4689, 71639}, {4703, 63134}, {4716, 59295}, {4723, 49487}, {4738, 49494}, {4767, 32911}, {4849, 49488}, {4871, 17597}, {4883, 72090}, {4937, 71912}, {5014, 49996}, {5220, 71489}, {5233, 32866}, {5268, 24325}, {5275, 21101}, {5282, 69505}, {5297, 32771}, {5311, 46897}, {5423, 6679}, {5437, 42053}, {5524, 72058}, {5573, 58467}, {5741, 32854}, {5847, 21060}, {6381, 71644}, {6682, 7174}, {6686, 49464}, {7035, 18064}, {7172, 50295}, {7226, 32918}, {7290, 59599}, {9350, 17495}, {9709, 67983}, {11679, 49457}, {14829, 49448}, {16086, 37716}, {16496, 30567}, {16557, 25577}, {16569, 32922}, {16673, 58381}, {16999, 71502}, {17122, 24349}, {17124, 17140}, {17126, 32938}, {17147, 17780}, {17149, 69896}, {17279, 29656}, {17347, 72209}, {17348, 58629}, {17354, 72026}, {17449, 71986}, {17594, 49456}, {17596, 49447}, {17602, 25453}, {17716, 27064}, {17718, 29653}, {17719, 29641}, {17720, 29673}, {17724, 29642}, {17733, 34790}, {17764, 17784}, {17766, 24703}, {19582, 37588}, {19812, 36478}, {20056, 49506}, {21080, 34247}, {21085, 69089}, {21893, 23543}, {23681, 25351}, {24068, 25440}, {24239, 49527}, {24549, 33932}, {25106, 70560}, {25280, 71504}, {25542, 64437}, {25681, 49613}, {25760, 33091}, {25957, 33153}, {25960, 33090}, {25961, 33148}, {26098, 50288}, {26223, 71630}, {26228, 53673}, {26580, 33074}, {26752, 71567}, {27091, 71564}, {27131, 32844}, {27184, 33079}, {27539, 34619}, {27916, 70724}, {28516, 46917}, {29634, 33159}, {29635, 49524}, {29645, 38047}, {29651, 44307}, {29652, 30818}, {29655, 49688}, {29658, 33118}, {29665, 33115}, {29668, 49465}, {29674, 33126}, {29679, 32775}, {29683, 33114}, {29687, 33122}, {29815, 32944}, {29818, 71982}, {29820, 30829}, {29840, 49534}, {29846, 32862}, {29848, 33157}, {30566, 71988}, {30816, 31093}, {30957, 62814}, {31008, 70812}, {31035, 62849}, {31053, 33072}, {32777, 69297}, {32852, 50000}, {32865, 37759}, {32914, 63961}, {32939, 56010}, {32948, 33151}, {33064, 49994}, {33065, 33078}, {33093, 70918}, {33095, 63139}, {33096, 50289}, {33117, 33133}, {33127, 69250}, {33137, 49693}, {33156, 69301}, {33163, 53661}, {33166, 53660}, {34064, 42042}, {34255, 50315}, {35652, 72068}, {36263, 71479}, {36480, 44417}, {36815, 40172}, {37553, 71874}, {37674, 49479}, {37679, 50023}, {37683, 49712}, {37828, 49609}, {39595, 49529}, {41242, 72201}, {41711, 42057}, {42819, 72069}, {43290, 49445}, {49452, 72056}, {49470, 72075}, {49474, 71926}, {49498, 71930}, {49520, 59679}, {50756, 71932}, {51949, 61164}, {59547, 59584}, {59565, 64170}, {62236, 72164}, {62659, 71984}, {62862, 72234}, {62865, 71985}, {62866, 72092}, {64010, 71917}, {64070, 71922}, {64176, 68245}, {67207, 72077}, {67210, 71978}, {69134, 71796}, {69251, 71798}, {69296, 72002}, {69819, 70700}

X(72312) = reflection of X(29844) in X(3816)
X(72312) = crosspoint of X(4621) and X(7035)
X(72312) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 59511, 70942}, {2, 32927, 32920}, {6, 59597, 4090}, {43, 32926, 32921}, {100, 32925, 32934}, {171, 32937, 32935}, {192, 71529, 60714}, {312, 3961, 32941}, {612, 1215, 50302}, {984, 7081, 32916}, {3681, 17763, 32853}, {3699, 32926, 43}, {3717, 66632, 4438}, {3744, 4009, 4011}, {3749, 30568, 4432}, {3920, 32931, 25496}, {3971, 70841, 55}, {4135, 71450, 5695}, {4434, 42054, 63}, {17716, 27064, 50300}, {17720, 30615, 29673}, {33153, 60459, 25957}, {49996, 69173, 5014}, {59517, 71520, 1001}

X(72313) = X(1)X(3896)∩X(2)X(17598)

X(72313) lies on these lines: {1, 3896}, {2, 17598}, {8, 25961}, {10, 62814}, {35, 64431}, {38, 16823}, {75, 32943}, {81, 50023}, {86, 29819}, {88, 59679}, {100, 71517}, {142, 33072}, {238, 17140}, {239, 62867}, {244, 3757}, {321, 29820}, {333, 17449}, {354, 32914}, {519, 62863}, {537, 27065}, {551, 62851}, {596, 5259}, {614, 32771}, {726, 5284}, {740, 29817}, {748, 24349}, {752, 26842}, {982, 32917}, {1001, 17155}, {1086, 32947}, {1125, 33157}, {1215, 7292}, {1279, 4418}, {1621, 24165}, {1999, 17450}, {2177, 17490}, {3058, 7263}, {3210, 62849}, {3218, 42053}, {3219, 42055}, {3242, 26037}, {3315, 3741}, {3689, 72234}, {3703, 29851}, {3720, 32922}, {3742, 17763}, {3746, 24176}, {3750, 17495}, {3834, 4914}, {3836, 33090}, {3846, 33148}, {3873, 16825}, {3883, 33067}, {3891, 26102}, {3938, 19804}, {3961, 24589}, {3966, 33069}, {3980, 62806}, {4038, 17150}, {4090, 37687}, {4361, 72164}, {4362, 64149}, {4363, 72198}, {4365, 72160}, {4384, 62850}, {4423, 32925}, {4514, 69253}, {4651, 49675}, {4663, 72094}, {4666, 32915}, {4683, 24231}, {4694, 54335}, {4849, 72092}, {4850, 29651}, {4860, 72199}, {4865, 27186}, {4906, 31993}, {5045, 27368}, {5211, 33105}, {5249, 32844}, {5263, 29818}, {5272, 32931}, {5278, 62865}, {5573, 29828}, {5695, 72159}, {6533, 69272}, {6703, 29834}, {7191, 24325}, {8167, 64178}, {9342, 70841}, {15485, 32933}, {16020, 33163}, {16484, 17147}, {16669, 72074}, {16706, 29685}, {17019, 49472}, {17024, 50302}, {17061, 29845}, {17063, 26227}, {17122, 20045}, {17123, 17165}, {17125, 32937}, {17146, 19742}, {17151, 64667}, {17156, 44841}, {17234, 32854}, {17260, 42039}, {17278, 33117}, {17354, 72032}, {17597, 31330}, {17716, 26627}, {18139, 32866}, {19808, 29686}, {24068, 25542}, {24331, 28606}, {24542, 33167}, {24627, 42040}, {24789, 33120}, {25501, 49464}, {25557, 32949}, {25760, 26132}, {25960, 33144}, {26223, 31178}, {26724, 29673}, {26838, 27030}, {28082, 54331}, {28599, 31151}, {29632, 69091}, {29642, 33089}, {29655, 33129}, {29672, 32779}, {29689, 32851}, {29814, 32921}, {29830, 32855}, {29835, 33132}, {29836, 72216}, {29843, 33128}, {29844, 33108}, {29853, 32777}, {30950, 32926}, {31289, 33166}, {32911, 49479}, {32930, 49483}, {32948, 40688}, {33074, 50310}, {33075, 49676}, {33076, 69251}, {33088, 38053}, {33094, 48627}, {33124, 69252}, {33130, 69134}, {35595, 42054}, {37652, 54352}, {37869, 51061}, {38000, 42038}, {41711, 72161}, {42051, 42819}, {42871, 72162}, {49448, 71987}, {49474, 71928}, {49488, 62866}, {49498, 71932}, {50305, 54311}, {50756, 71930}, {62235, 72208}, {64010, 71414}, {64070, 71920}, {65112, 72207}, {67207, 72076}, {67210, 71981}, {69296, 72003}

X(72313) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4359, 32945}, {2, 32923, 32927}, {238, 17140, 32940}, {244, 3757, 32918}, {354, 32914, 32919}, {614, 32771, 32944}, {748, 24349, 32938}, {1001, 17155, 32936}, {1621, 24165, 32845}, {3720, 32922, 32928}, {3873, 16825, 32864}, {7191, 24325, 32772}

X(72314) = X(1)X(4723)∩X(2)X(17598)

X(72314) lies on these lines: {1, 4723}, {2, 17598}, {8, 25960}, {10, 31247}, {31, 27538}, {35, 4075}, {38, 5205}, {42, 3699}, {43, 32928}, {55, 64178}, {81, 4090}, {100, 3971}, {171, 3952}, {200, 32915}, {210, 17763}, {226, 10712}, {312, 32945}, {319, 70878}, {537, 27003}, {612, 32772}, {750, 32937}, {752, 26792}, {756, 7081}, {894, 71630}, {899, 32924}, {908, 33072}, {940, 59597}, {976, 46937}, {984, 32918}, {1215, 5297}, {1376, 32845}, {1621, 59517}, {1757, 72057}, {1961, 46897}, {1999, 21805}, {2177, 41839}, {2887, 60459}, {3210, 9350}, {3218, 42054}, {3219, 4096}, {3242, 30957}, {3452, 32844}, {3507, 59212}, {3509, 69505}, {3681, 29649}, {3689, 35652}, {3697, 27368}, {3701, 5293}, {3711, 72162}, {3715, 72202}, {3717, 33119}, {3740, 32914}, {3744, 59506}, {3745, 59596}, {3748, 72233}, {3750, 31035}, {3752, 9458}, {3836, 33153}, {3846, 33091}, {3891, 16569}, {3896, 5524}, {3920, 32944}, {3932, 29846}, {3938, 18743}, {3961, 4358}, {3967, 4418}, {3977, 59593}, {3979, 72077}, {3992, 30115}, {3994, 32932}, {3995, 17780}, {4009, 32930}, {4103, 16785}, {4126, 37646}, {4135, 64010}, {4362, 63961}, {4365, 71926}, {4387, 71451}, {4413, 17155}, {4415, 32948}, {4420, 63800}, {4439, 33168}, {4514, 49996}, {4663, 72093}, {4781, 9337}, {4865, 27131}, {4871, 62814}, {4883, 72092}, {4929, 31249}, {4937, 71907}, {5220, 72199}, {5233, 32854}, {5260, 8669}, {5266, 59582}, {5268, 32771}, {5269, 59599}, {5284, 71520}, {5423, 33163}, {5695, 71917}, {5710, 59598}, {5741, 32847}, {6174, 59583}, {7035, 41318}, {7191, 24003}, {7322, 29828}, {9342, 24165}, {9457, 51788}, {10327, 25760}, {14829, 62659}, {16830, 31264}, {17020, 49472}, {17063, 71794}, {17122, 17165}, {17123, 20045}, {17124, 24349}, {17147, 56009}, {17156, 62218}, {17263, 29689}, {17279, 29848}, {17347, 72218}, {17354, 72027}, {17602, 29850}, {17718, 29854}, {17719, 69250}, {17720, 33117}, {17724, 29851}, {17782, 71636}, {18201, 20068}, {20292, 21093}, {21101, 37675}, {24210, 49991}, {24627, 42039}, {24988, 33147}, {25531, 29818}, {25542, 64436}, {25957, 26132}, {25961, 33144}, {26580, 33079}, {26723, 59684}, {27002, 42038}, {27065, 42056}, {29683, 33118}, {29687, 33126}, {29815, 70942}, {29845, 49524}, {29847, 38047}, {30566, 33106}, {30615, 33120}, {30947, 62869}, {32779, 59726}, {32850, 69173}, {32860, 67097}, {32861, 50000}, {32933, 56010}, {33078, 49994}, {33107, 50288}, {33115, 66632}, {33123, 62673}, {33132, 71102}, {33142, 49693}, {33160, 69301}, {33166, 53672}, {33170, 53660}, {34247, 70160}, {36475, 70839}, {37539, 59577}, {37639, 49712}, {37687, 50023}, {38000, 42041}, {41242, 72204}, {41711, 72163}, {42057, 62236}, {42819, 72234}, {46918, 48644}, {48642, 69755}, {49448, 71984}, {49470, 72058}, {49478, 72091}, {49506, 70453}, {50756, 71931}, {59679, 62796}, {62862, 72235}, {62865, 71986}, {64070, 71919}, {67207, 72075}, {67209, 72079}, {67210, 71980}, {69296, 72004}

X(72314) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 32927, 32923}, {81, 4767, 4090}, {100, 3971, 32936}, {171, 3952, 32938}, {210, 17763, 32864}, {612, 32931, 32772}, {750, 32937, 32940}, {756, 7081, 32917}, {899, 32926, 32924}, {1376, 32925, 32845}, {1999, 72059, 21805}, {3681, 29649, 32919}, {3701, 5293, 54331}, {3920, 59511, 32944}, {3961, 4358, 32943}, {3995, 17780, 60714}, {4096, 4434, 3219}, {41839, 71529, 2177}, {49994, 69299, 33078}, {59517, 70841, 1621}, {59726, 69297, 32779}

X(72315) = X(1)X(3996)∩X(2)X(17598)

X(72315) lies on these lines: {1, 3996}, {2, 17598}, {9, 42055}, {10, 17597}, {63, 42053}, {75, 29820}, {142, 4865}, {244, 32916}, {354, 16825}, {537, 3305}, {551, 20182}, {614, 24325}, {726, 4423}, {740, 4666}, {748, 17140}, {940, 50023}, {982, 16823}, {1001, 24165}, {1125, 17599}, {1215, 5272}, {1279, 3980}, {1376, 71517}, {3187, 17450}, {3210, 16484}, {3242, 71977}, {3315, 31330}, {3616, 17600}, {3666, 24331}, {3689, 72069}, {3720, 32921}, {3739, 4906}, {3742, 4362}, {3750, 17490}, {3752, 29651}, {3757, 17063}, {3842, 62833}, {3891, 30950}, {3925, 29844}, {3938, 24589}, {3966, 49676}, {3971, 8167}, {3976, 16817}, {4011, 49483}, {4359, 32941}, {4361, 42057}, {4363, 72206}, {4383, 49479}, {4387, 50117}, {4413, 71520}, {4434, 5437}, {4457, 49451}, {4651, 62869}, {4660, 40688}, {4685, 42871}, {4697, 7290}, {4703, 24231}, {4849, 72090}, {4860, 71489}, {4883, 49488}, {4974, 62819}, {5211, 33111}, {5248, 64431}, {5278, 17449}, {5284, 17155}, {5287, 49472}, {5316, 59730}, {5524, 72080}, {6532, 25440}, {7191, 50302}, {7263, 49736}, {7292, 32771}, {7308, 42054}, {9335, 32918}, {9345, 17150}, {15485, 32939}, {16610, 29670}, {16669, 72072}, {16833, 30350}, {17123, 24349}, {17124, 20045}, {17125, 17165}, {17234, 32866}, {17277, 62865}, {17278, 29673}, {17282, 28595}, {17469, 26627}, {17495, 62849}, {18201, 71476}, {19742, 54352}, {19808, 29660}, {19993, 50288}, {24620, 60714}, {24789, 29655}, {24821, 72053}, {25502, 32926}, {25542, 64429}, {25557, 32946}, {25960, 33148}, {25961, 33090}, {26037, 62814}, {26102, 32922}, {26228, 58443}, {26688, 31161}, {26724, 33120}, {26840, 50296}, {27064, 31178}, {27186, 32844}, {29579, 48652}, {29642, 69091}, {29668, 31993}, {29814, 32924}, {29817, 32860}, {29818, 71979}, {29843, 33132}, {29851, 33089}, {29853, 32779}, {31137, 55095}, {31289, 33163}, {32914, 64149}, {33079, 50310}, {33095, 48627}, {42056, 51780}, {44307, 49455}, {49446, 72054}, {49457, 62850}, {49474, 72160}, {49497, 62867}, {49498, 71931}, {49675, 59296}, {61358, 68958}, {62863, 72162}, {64010, 72159}, {65112, 72199}, {67210, 71983}, {69296, 72005}

X(72315) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {354, 16825, 32853}, {614, 24325, 25496}, {748, 17140, 32935}, {1001, 24165, 32934}, {3739, 4906, 29652}, {7292, 32771, 70942}, {29814, 32924, 50281}

X(72316) = X(1)X(1120)∩X(2)X(17598)

X(72316) lies on these lines: {1, 1120}, {2, 17598}, {8, 24217}, {9, 4434}, {10, 17720}, {43, 4360}, {55, 59517}, {57, 42054}, {63, 4096}, {100, 64178}, {171, 16995}, {190, 56010}, {192, 56009}, {210, 29649}, {519, 3711}, {537, 3306}, {612, 25496}, {726, 4413}, {740, 67097}, {750, 3952}, {752, 31018}, {756, 32916}, {899, 32921}, {940, 4090}, {984, 5205}, {1001, 70841}, {1054, 49447}, {1150, 62659}, {1215, 3718}, {1376, 3971}, {1961, 17394}, {2177, 17780}, {3240, 50281}, {3242, 4871}, {3416, 49994}, {3452, 4865}, {3697, 17733}, {3715, 71489}, {3740, 4362}, {3748, 72068}, {3750, 71529}, {3751, 72241}, {3842, 29828}, {3846, 10327}, {3920, 70942}, {3923, 4009}, {3961, 18743}, {3967, 3980}, {3979, 72075}, {4011, 59506}, {4054, 24693}, {4073, 7081}, {4075, 25440}, {4078, 6745}, {4104, 24241}, {4126, 37634}, {4358, 32941}, {4387, 71450}, {4423, 71520}, {4439, 17740}, {4666, 67066}, {4679, 17766}, {4682, 59596}, {4697, 59599}, {4767, 37633}, {4850, 9458}, {5121, 49527}, {5211, 49534}, {5220, 72207}, {5233, 32847}, {5259, 64437}, {5293, 46937}, {5297, 32931}, {5437, 42055}, {5524, 49470}, {5880, 21093}, {6376, 69896}, {6686, 17599}, {7262, 72055}, {8167, 71517}, {8580, 17151}, {9041, 17051}, {9310, 61164}, {9330, 32917}, {9342, 17155}, {9350, 17147}, {11269, 49693}, {11814, 17721}, {16569, 32926}, {16610, 49455}, {16825, 61686}, {16987, 29634}, {17122, 32937}, {17124, 17165}, {17125, 20045}, {17261, 17601}, {17263, 29675}, {17341, 29860}, {17354, 72029}, {17469, 26688}, {17594, 72054}, {17595, 49520}, {17600, 59298}, {17722, 50286}, {17763, 63961}, {18201, 31302}, {21242, 28808}, {21805, 49497}, {24954, 49613}, {24988, 33143}, {25760, 60459}, {25960, 33091}, {25961, 33153}, {26073, 33149}, {26128, 62673}, {26228, 31289}, {26627, 31161}, {27131, 33072}, {27754, 51562}, {29655, 30615}, {29670, 44307}, {29676, 37758}, {30142, 59666}, {30566, 33104}, {30811, 49769}, {30818, 36480}, {30861, 36534}, {30947, 49675}, {32777, 59726}, {32845, 61156}, {32912, 72057}, {32922, 62711}, {32943, 46938}, {33128, 71102}, {33163, 53673}, {33170, 53672}, {34064, 42043}, {37674, 59597}, {37684, 49712}, {38473, 49689}, {39594, 62218}, {40940, 59684}, {41265, 59690}, {41839, 60714}, {42819, 72235}, {49448, 71985}, {49450, 70219}, {49478, 72089}, {49486, 49988}, {49506, 70452}, {49517, 62300}, {56078, 59593}, {62236, 72163}, {62709, 70812}, {62862, 72233}, {62866, 72091}, {63977, 68255}, {66674, 68245}, {67209, 72077}, {67210, 71982}, {69296, 72006}

X(72316) = crosspoint of X(7035) and X(9059)
X(72316) = crosssum of X(3248) and X(9002)
X(72316) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {210, 29649, 32853}, {612, 59511, 25496}, {750, 3952, 32935}, {1376, 3971, 32934}, {4434, 42056, 9}, {5297, 32931, 50302}, {17780, 31035, 2177}

X(72317) = X(1)X(6)∩X(10)X(321)

X(72317) lies on these lines: {1, 6}, {2, 3670}, {3, 21375}, {4, 54035}, {8, 2901}, {10, 321}, {12, 45095}, {21, 3453}, {31, 30142}, {35, 228}, {36, 37247}, {38, 1125}, {40, 7322}, {42, 3678}, {46, 5268}, {58, 3219}, {63, 975}, {65, 51504}, {73, 16577}, {78, 62871}, {79, 33099}, {80, 66070}, {100, 57712}, {144, 4340}, {171, 191}, {190, 1010}, {192, 9534}, {201, 226}, {210, 3293}, {244, 19862}, {312, 10479}, {335, 31996}, {386, 3876}, {404, 62796}, {442, 4415}, {443, 4419}, {498, 1735}, {519, 14020}, {545, 51671}, {551, 42039}, {580, 26878}, {595, 3920}, {612, 5264}, {740, 58365}, {750, 69227}, {758, 20703}, {762, 20691}, {774, 13405}, {894, 25526}, {908, 37693}, {936, 3998}, {940, 3927}, {942, 44307}, {950, 7069}, {968, 3811}, {976, 2210}, {982, 3624}, {986, 1698}, {991, 12528}, {997, 42700}, {1039, 7162}, {1044, 30290}, {1046, 1961}, {1064, 20117}, {1086, 17529}, {1193, 3989}, {1211, 3695}, {1215, 58386}, {1254, 3947}, {1255, 64377}, {1265, 13725}, {1334, 4456}, {1448, 8545}, {1478, 22001}, {1500, 4006}, {1573, 3727}, {1621, 69272}, {1682, 21333}, {1725, 63259}, {1734, 4522}, {1754, 55104}, {1759, 5275}, {1771, 54401}, {1785, 10039}, {1824, 4186}, {1829, 21361}, {1867, 10827}, {1930, 4357}, {1959, 50631}, {1962, 4134}, {1999, 64072}, {2169, 56254}, {2198, 3730}, {2254, 22037}, {2299, 6198}, {2310, 4314}, {2318, 40661}, {2321, 4099}, {2646, 24431}, {2650, 4067}, {3085, 27540}, {3120, 3841}, {3175, 3679}, {3178, 69299}, {3198, 61763}, {3214, 4015}, {3216, 3666}, {3295, 71064}, {3305, 69267}, {3336, 17122}, {3454, 26580}, {3496, 70538}, {3579, 5492}, {3588, 55333}, {3601, 24430}, {3616, 4694}, {3617, 62227}, {3632, 66674}, {3634, 24443}, {3646, 3677}, {3651, 66106}, {3681, 62831}, {3682, 25080}, {3683, 5266}, {3688, 67967}, {3690, 10974}, {3697, 4646}, {3698, 4674}, {3702, 4981}, {3720, 3874}, {3721, 16589}, {3728, 3993}, {3746, 3961}, {3773, 7206}, {3778, 25354}, {3782, 8728}, {3822, 21674}, {3831, 59517}, {3842, 16828}, {3846, 30171}, {3869, 30116}, {3878, 10459}, {3890, 50637}, {3896, 4065}, {3899, 66646}, {3915, 30145}, {3921, 21896}, {3925, 63997}, {3929, 37554}, {3940, 19765}, {3951, 5287}, {3952, 26115}, {3962, 66687}, {3976, 25055}, {3988, 58380}, {4005, 37593}, {4037, 69621}, {4041, 57068}, {4043, 70499}, {4064, 21189}, {4078, 22008}, {4104, 68558}, {4115, 70473}, {4127, 63354}, {4133, 23668}, {4197, 33151}, {4202, 20432}, {4283, 17322}, {4296, 29007}, {4300, 31803}, {4356, 21039}, {4358, 50605}, {4363, 16458}, {4364, 13728}, {4370, 51672}, {4384, 19791}, {4385, 31359}, {4389, 33833}, {4392, 5550}, {4414, 25440}, {4420, 33771}, {4463, 5250}, {4516, 71601}, {4533, 4849}, {4537, 56221}, {4641, 37594}, {4651, 64071}, {4653, 34772}, {4658, 17019}, {4662, 64175}, {4692, 22024}, {4704, 20018}, {4712, 22035}, {4736, 21093}, {4738, 22045}, {4850, 17749}, {4968, 24068}, {4975, 50608}, {5047, 30117}, {5219, 37591}, {5224, 33935}, {5255, 69675}, {5257, 19857}, {5262, 27065}, {5297, 56288}, {5311, 62805}, {5312, 17592}, {5360, 50617}, {5396, 31835}, {5506, 17123}, {5530, 22020}, {5697, 21807}, {5703, 62811}, {5711, 49500}, {5777, 37528}, {5791, 17720}, {5902, 27659}, {5903, 22014}, {5927, 15852}, {6155, 21904}, {6211, 8235}, {6376, 27801}, {6533, 24165}, {6682, 19864}, {6693, 56520}, {6743, 71236}, {6763, 37607}, {7064, 10822}, {7085, 27802}, {7283, 17261}, {7386, 15434}, {8298, 21890}, {9330, 9780}, {9708, 37614}, {9957, 40964}, {9959, 37619}, {10408, 56214}, {10448, 22836}, {10449, 41839}, {11108, 37549}, {11112, 49742}, {11375, 68761}, {11533, 60353}, {12047, 22000}, {12432, 42289}, {12782, 22036}, {13411, 44706}, {13745, 49737}, {14815, 21035}, {14923, 17461}, {15808, 46190}, {16047, 16826}, {16086, 26117}, {16140, 18360}, {16286, 69701}, {16342, 71016}, {16408, 17595}, {16454, 32933}, {16551, 42461}, {16583, 46196}, {16600, 59207}, {16817, 17260}, {16818, 17755}, {16819, 31323}, {16842, 17054}, {16862, 70256}, {16918, 30111}, {16931, 71046}, {17022, 54422}, {17023, 41249}, {17063, 34595}, {17147, 64185}, {17164, 19874}, {17211, 37664}, {17248, 71503}, {17257, 54433}, {17262, 50044}, {17331, 50592}, {17332, 49716}, {17354, 37036}, {17355, 59576}, {17369, 56985}, {17420, 57160}, {17484, 26131}, {17781, 49744}, {17889, 41859}, {17916, 41320}, {18004, 42666}, {18398, 26102}, {19875, 24440}, {19878, 24167}, {19883, 42038}, {19933, 24413}, {20724, 23861}, {21024, 71525}, {21067, 69505}, {21081, 69300}, {21616, 29639}, {21677, 37715}, {21699, 50312}, {21805, 50587}, {21827, 23447}, {21921, 52708}, {22002, 45287}, {22012, 50290}, {22027, 31397}, {22034, 64176}, {24076, 52875}, {24168, 31253}, {24174, 64850}, {24176, 24589}, {24222, 65196}, {24325, 25512}, {24387, 29690}, {24399, 71006}, {24434, 59691}, {24462, 49276}, {24464, 39586}, {24880, 33133}, {24929, 35194}, {24931, 32779}, {25092, 33299}, {25248, 27026}, {25446, 37759}, {25639, 69173}, {25645, 33116}, {25760, 30172}, {25917, 37592}, {26030, 59666}, {26037, 28612}, {26060, 33102}, {26223, 43531}, {26234, 69856}, {26562, 71952}, {26689, 30106}, {26730, 33082}, {26921, 37530}, {27048, 31052}, {27627, 46901}, {27697, 66690}, {28387, 35650}, {28611, 67983}, {29571, 37111}, {29640, 37731}, {29653, 56949}, {29676, 37720}, {30113, 33047}, {30143, 49454}, {30950, 58565}, {30966, 33939}, {31339, 32925}, {31442, 54317}, {31445, 37539}, {31503, 56215}, {31837, 63982}, {32092, 49518}, {32939, 56766}, {34064, 56018}, {34790, 37548}, {37037, 54389}, {37039, 69508}, {37551, 66661}, {37558, 64041}, {37572, 56010}, {37573, 69275}, {37585, 52524}, {37719, 69591}, {39544, 50205}, {40263, 48897}, {40515, 70316}, {41813, 71934}, {42005, 71237}, {42044, 48852}, {42285, 42471}, {42705, 56737}, {44694, 50618}, {47320, 64710}, {47483, 61166}, {49447, 64429}, {49462, 71330}, {49721, 51602}, {49723, 50093}, {49747, 57005}, {49980, 62325}, {49993, 64436}, {49998, 60725}, {50122, 51034}, {50190, 62865}, {50534, 56807}, {50581, 50602}, {55212, 57199}, {56134, 56174}, {56213, 57280}, {56249, 59138}, {56839, 67850}, {56986, 62706}, {57287, 66659}, {57288, 63360}, {59310, 71729}, {63800, 72054}, {63996, 71981}, {64002, 66658}, {64005, 64134}, {66632, 67935}, {69241, 70550}

X(72317) = reflection of X(1) in X(6051)
X(72317) = isotomic conjugate of the isogonal conjugate of X(71619)
X(72317) = isogonal conjugate of the isotomic conjugate of X(42714)
X(72317) = X(i)-Ceva conjugate of X(j) for these (i,j): {5224, 56810}, {8652, 57099}, {28606, 56926}, {31359, 10}, {33948, 14349}, {56213, 37}
X(72317) = X(i)-isoconjugate of X(j) for these (i,j): {6, 56047}, {27, 57704}, {58, 43531}, {81, 2214}, {110, 43927}, {514, 58951}, {649, 68197}, {835, 3733}, {1474, 57876}, {1790, 68567}, {2206, 57824}, {37218, 57129}
X(72317) = X(i)-Dao conjugate of X(j) for these (i,j): {9, 56047}, {10, 43531}, {244, 43927}, {5375, 68197}, {31993, 10436}, {39016, 1019}, {40586, 2214}, {40603, 57824}, {41340, 69267}, {41849, 274}, {51574, 57876}, {56926, 5278}, {62586, 86}
X(72317) = crosspoint of X(i) and X(j) for these (i,j): {10, 56221}, {75, 57722}, {5224, 28606}
X(72317) = crosssum of X(i) and X(j) for these (i,j): {31, 584}, {58, 4658}
X(72317) = trilinear pole of line {42664, 47842}
X(72317) = crossdifference of every pair of points on line {513, 57129}
X(72317) = barycentric product X(i)*X(j) for these {i,j}: {1, 56810}, {6, 42714}, {10, 28606}, {37, 5224}, {42, 33935}, {72, 469}, {75, 56926}, {76, 71619}, {100, 23879}, {190, 47842}, {210, 33949}, {226, 3876}, {321, 386}, {656, 65204}, {661, 33948}, {662, 23282}, {668, 42664}, {834, 4033}, {1018, 45746}, {1089, 61409}, {1577, 65313}, {1978, 50488}, {3952, 14349}, {20336, 44103}, {52782, 56213}, {56221, 62586}
X(72317) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 56047}, {37, 43531}, {42, 2214}, {72, 57876}, {100, 68197}, {228, 57704}, {321, 57824}, {386, 81}, {469, 286}, {661, 43927}, {692, 58951}, {834, 1019}, {1018, 835}, {1824, 68567}, {3876, 333}, {3952, 37218}, {4033, 57977}, {5224, 274}, {8637, 57129}, {14349, 7192}, {17038, 28621}, {22276, 53081}, {23282, 1577}, {23879, 693}, {28606, 86}, {28622, 62841}, {33935, 310}, {33948, 799}, {33949, 57785}, {42664, 513}, {42714, 76}, {43214, 45999}, {44103, 28}, {45746, 7199}, {47842, 514}, {50488, 649}, {56810, 75}, {56926, 1}, {61409, 757}, {65116, 16727}, {65204, 811}, {65313, 662}, {68439, 20896}, {71619, 6}
X(72317) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 9, 1724}, {1, 984, 67979}, {1, 3731, 54287}, {8, 3995, 2901}, {10, 2292, 4424}, {10, 3159, 321}, {10, 3971, 1089}, {10, 4075, 3701}, {10, 4424, 3987}, {10, 42031, 21020}, {37, 72, 1}, {37, 3954, 3970}, {37, 21810, 21078}, {37, 21879, 213}, {37, 56541, 22021}, {37, 70518, 3294}, {38, 1125, 3953}, {63, 975, 37522}, {192, 9534, 64184}, {210, 3931, 3293}, {612, 12514, 5264}, {756, 2292, 10}, {846, 5293, 35}, {984, 3731, 1736}, {986, 1698, 1739}, {1046, 1961, 37559}, {1125, 59639, 5294}, {3666, 5044, 3216}, {3678, 3743, 42}, {3697, 4646, 31855}, {3842, 49598, 16828}, {3874, 27784, 3720}, {3876, 28606, 386}, {3954, 21816, 37}, {4015, 4868, 3214}, {4641, 37594, 69840}, {5283, 69285, 57015}, {5506, 69268, 17123}, {5904, 27785, 1}, {6682, 25079, 19864}, {7174, 31435, 1}, {7265, 55230, 1734}, {18398, 31318, 26102}, {25917, 37592, 49997}, {26580, 57808, 3454}, {31445, 37539, 52680}, {67983, 71977, 28611}

X(72318) = X(1)X(71)∩X(8)X(9)

X(72318) lies on these lines: {1, 71}, {3, 2256}, {6, 595}, {8, 9}, {19, 5119}, {35, 48}, {37, 517}, {39, 21769}, {40, 3332}, {41, 52405}, {44, 50575}, {45, 4271}, {46, 54385}, {55, 219}, {63, 3879}, {69, 62817}, {101, 36744}, {109, 2286}, {142, 37555}, {190, 34283}, {192, 69703}, {200, 4097}, {213, 4270}, {220, 4254}, {322, 59711}, {345, 17185}, {380, 53053}, {386, 28622}, {495, 1901}, {518, 4047}, {572, 10267}, {581, 3990}, {583, 16884}, {584, 17796}, {604, 2078}, {610, 61763}, {612, 56225}, {672, 1449}, {916, 991}, {942, 21866}, {944, 1765}, {958, 4877}, {960, 3694}, {965, 5687}, {966, 3294}, {984, 44661}, {995, 4261}, {999, 37500}, {1001, 17049}, {1018, 2345}, {1056, 57286}, {1100, 4253}, {1108, 9957}, {1172, 41320}, {1213, 31419}, {1253, 58326}, {1400, 3247}, {1479, 26063}, {1482, 5755}, {1630, 40292}, {1713, 3488}, {1751, 40435}, {1761, 69226}, {1781, 11010}, {1826, 10039}, {1914, 2273}, {1918, 41265}, {1953, 5697}, {2092, 2176}, {2150, 35193}, {2174, 4262}, {2178, 35239}, {2183, 3731}, {2197, 10571}, {2198, 62831}, {2242, 2305}, {2245, 16777}, {2252, 3612}, {2257, 31393}, {2262, 16601}, {2268, 2323}, {2272, 31508}, {2276, 2300}, {2277, 3230}, {2287, 3871}, {2294, 5903}, {2303, 5264}, {2316, 34820}, {2911, 4251}, {3057, 40937}, {3085, 5747}, {3204, 54409}, {3218, 17391}, {3219, 17363}, {3303, 54358}, {3452, 28830}, {3501, 5750}, {3601, 70670}, {3672, 69700}, {3679, 69547}, {3869, 22021}, {3875, 28287}, {3877, 27396}, {3878, 59733}, {3882, 17257}, {3884, 25078}, {3915, 16470}, {3946, 27626}, {3949, 5692}, {3958, 5904}, {3965, 4520}, {4068, 64751}, {4263, 52963}, {4264, 54416}, {4269, 4653}, {4284, 16502}, {4286, 56804}, {4287, 17455}, {4304, 15656}, {4313, 40979}, {4357, 22370}, {4414, 71074}, {4494, 56079}, {4644, 67984}, {4648, 20367}, {4667, 44421}, {4869, 29812}, {5010, 22054}, {5019, 17735}, {5036, 16672}, {5053, 54322}, {5110, 31451}, {5120, 42316}, {5124, 41345}, {5132, 56809}, {5227, 5847}, {5257, 19853}, {5273, 18163}, {5279, 50289}, {5282, 33093}, {5690, 21933}, {5742, 24390}, {5798, 63257}, {5839, 16552}, {6000, 21767}, {7991, 54424}, {8715, 54316}, {8804, 31397}, {10198, 24937}, {12575, 40963}, {13723, 56529}, {15624, 18611}, {16516, 37590}, {16520, 56800}, {16547, 69240}, {16549, 63055}, {16574, 17316}, {16577, 56549}, {16688, 35270}, {16946, 69282}, {16969, 17053}, {17034, 20170}, {17183, 27514}, {17244, 29552}, {17261, 29497}, {17275, 69621}, {17296, 56509}, {17300, 29747}, {17314, 21061}, {17396, 27678}, {17438, 37525}, {17452, 21811}, {17766, 69599}, {17861, 21231}, {18230, 53391}, {18395, 21012}, {18517, 32431}, {19763, 52386}, {20051, 62985}, {20073, 29698}, {20818, 37504}, {21271, 25255}, {21748, 62246}, {21809, 70801}, {22065, 37574}, {22097, 62818}, {23073, 64950}, {24045, 50036}, {24047, 36743}, {24170, 25504}, {24202, 25523}, {24476, 41340}, {29492, 29579}, {29697, 30473}, {33771, 54423}, {35192, 52425}, {37563, 54324}, {37657, 40586}, {40131, 54420}, {42446, 71236}, {46838, 71609}, {58679, 59689}, {63210, 67510}, {64007, 64727}

X(72318) = X(28606)-Ceva conjugate of X(386)
X(72318) = X(i)-isoconjugate of X(j) for these (i,j): {7, 2214}, {34, 57876}, {57, 43531}, {65, 56047}, {77, 68567}, {273, 57704}, {604, 57824}, {651, 43927}, {835, 3669}, {4017, 68197}, {4077, 58951}, {37218, 43924}, {57181, 57977}
X(72318) = X(i)-Dao conjugate of X(j) for these (i,j): {386, 27339}, {3161, 57824}, {5452, 43531}, {11517, 57876}, {34961, 68197}, {38991, 43927}, {39016, 3676}, {40602, 56047}, {41849, 6063}, {62586, 85}
X(72318) = crosspoint of X(3876) and X(28606)
X(72318) = crosssum of X(i) and X(j) for these (i,j): {57, 4654}, {1086, 48144}
X(72318) = crossdifference of every pair of points on line {4977, 7178}
X(72318) = barycentric product X(i)*X(j) for these {i,j}: {1, 3876}, {8, 386}, {9, 28606}, {41, 33935}, {55, 5224}, {219, 469}, {220, 33949}, {284, 56810}, {314, 71619}, {333, 56926}, {345, 44103}, {522, 65313}, {643, 47842}, {644, 14349}, {645, 42664}, {652, 65204}, {663, 33948}, {834, 3699}, {2194, 42714}, {2321, 61409}, {3939, 45746}, {4636, 23282}, {5546, 23879}, {6065, 65116}, {7257, 50488}, {30730, 52615}
X(72318) = barycentric quotient X(i)/X(j) for these {i,j}: {8, 57824}, {41, 2214}, {55, 43531}, {219, 57876}, {284, 56047}, {386, 7}, {469, 331}, {607, 68567}, {644, 37218}, {663, 43927}, {834, 3676}, {3699, 57977}, {3876, 75}, {3939, 835}, {5224, 6063}, {5546, 68197}, {8637, 43924}, {14349, 24002}, {26911, 33298}, {28606, 85}, {30730, 65850}, {33935, 20567}, {33948, 4572}, {33949, 57792}, {42664, 7178}, {44103, 278}, {45746, 52621}, {47842, 4077}, {50488, 4017}, {52425, 57704}, {52615, 17096}, {56810, 349}, {56926, 226}, {61409, 1434}, {65204, 46404}, {65313, 664}, {71619, 65}
X(72318) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 71, 579}, {9, 2269, 4266}, {9, 3169, 3686}, {9, 3208, 2321}, {9, 4034, 3691}, {55, 219, 284}, {55, 3688, 64739}, {1334, 2269, 9}, {1914, 2273, 5037}, {2276, 2300, 5105}, {3692, 5250, 9}, {4261, 16685, 995}, {17452, 21811, 70775}, {20818, 64951, 37504}, {21231, 24424, 17861}

X(72319) = X(2)X(594)∩X(8)X(21)

X(72319) lies on these lines: {1, 19808}, {2, 594}, {8, 21}, {9, 4886}, {10, 17592}, {11, 70152}, {43, 3773}, {57, 17294}, {63, 319}, {69, 2097}, {75, 306}, {81, 17377}, {86, 19822}, {100, 20476}, {141, 3210}, {145, 5835}, {190, 5739}, {192, 1211}, {200, 4123}, {210, 3790}, {219, 56440}, {226, 4431}, {239, 16974}, {312, 2321}, {314, 19807}, {321, 3262}, {329, 50107}, {346, 14555}, {469, 42714}, {519, 17716}, {536, 27184}, {599, 26840}, {664, 56367}, {726, 33084}, {740, 32773}, {846, 50308}, {894, 50048}, {908, 42034}, {940, 6542}, {982, 49560}, {984, 21085}, {1100, 50052}, {1146, 70704}, {1150, 33168}, {1214, 33298}, {1278, 3782}, {1330, 50044}, {1575, 26746}, {1999, 17299}, {2325, 72053}, {2887, 49474}, {2895, 17347}, {2901, 52258}, {2999, 17286}, {3187, 32779}, {3219, 17346}, {3240, 69296}, {3305, 17264}, {3416, 32932}, {3474, 39891}, {3618, 20043}, {3621, 37666}, {3661, 3666}, {3662, 42051}, {3681, 20243}, {3683, 70969}, {3685, 3966}, {3686, 56078}, {3695, 9534}, {3696, 29641}, {3699, 3974}, {3705, 3706}, {3714, 5123}, {3717, 4061}, {3729, 33066}, {3741, 3795}, {3748, 50310}, {3752, 17229}, {3755, 39597}, {3759, 5294}, {3846, 4527}, {3875, 19786}, {3886, 4514}, {3891, 33175}, {3896, 29667}, {3912, 19804}, {3923, 32861}, {3932, 59296}, {3936, 28605}, {3943, 5743}, {3975, 70157}, {3980, 32846}, {3982, 50119}, {3995, 72000}, {4001, 17360}, {4006, 7377}, {4007, 4119}, {4023, 6057}, {4060, 5745}, {4062, 32771}, {4133, 24210}, {4359, 17234}, {4362, 33160}, {4363, 17778}, {4365, 25760}, {4383, 17280}, {4388, 5695}, {4389, 17147}, {4398, 17184}, {4399, 72229}, {4418, 32852}, {4425, 49452}, {4427, 72214}, {4429, 15523}, {4442, 25958}, {4445, 37653}, {4478, 59583}, {4535, 59511}, {4641, 17363}, {4651, 32862}, {4665, 17056}, {4671, 5741}, {4677, 56523}, {4685, 33165}, {4709, 32865}, {4716, 25453}, {4873, 30568}, {4970, 32784}, {4980, 31019}, {4997, 56086}, {5224, 28606}, {5239, 40713}, {5240, 40714}, {5256, 17289}, {5263, 33088}, {5271, 5564}, {5278, 32849}, {5287, 17315}, {5295, 69279}, {5325, 42030}, {5372, 51583}, {5737, 59238}, {5814, 7283}, {5839, 26065}, {5905, 50043}, {6327, 64010}, {6535, 32931}, {6703, 17388}, {7081, 69089}, {10327, 71926}, {10436, 19797}, {10453, 69091}, {14459, 61358}, {14829, 17740}, {16062, 64184}, {16086, 19287}, {16687, 17135}, {16825, 33158}, {17011, 17381}, {17117, 24789}, {17143, 19792}, {17144, 19806}, {17150, 72213}, {17151, 19796}, {17155, 33081}, {17156, 33121}, {17158, 19802}, {17160, 19785}, {17163, 33108}, {17228, 54311}, {17230, 17490}, {17232, 40688}, {17242, 44307}, {17257, 41816}, {17269, 37679}, {17270, 62818}, {17277, 17776}, {17281, 27064}, {17309, 37674}, {17322, 62816}, {17340, 70742}, {17352, 33157}, {17354, 32911}, {17362, 21793}, {17389, 37595}, {17393, 19827}, {17483, 49722}, {17495, 33172}, {17598, 50311}, {17772, 62841}, {18141, 29616}, {18228, 42032}, {19701, 28604}, {19820, 23681}, {19833, 25590}, {20012, 49524}, {20055, 37683}, {20237, 70777}, {21020, 29643}, {21070, 30830}, {21923, 69284}, {23600, 28793}, {24044, 24045}, {24058, 24066}, {24165, 33087}, {24349, 71937}, {24552, 32842}, {24620, 72001}, {24943, 32924}, {26037, 69295}, {26580, 42044}, {26872, 54107}, {28522, 33154}, {28599, 49719}, {29615, 38000}, {29617, 50104}, {29673, 49459}, {29679, 48648}, {31017, 33146}, {31037, 33151}, {31143, 49748}, {31330, 32848}, {31993, 48628}, {32780, 49488}, {32783, 32921}, {32845, 33080}, {32850, 63131}, {32853, 33167}, {32854, 32945}, {32864, 33161}, {32866, 32941}, {32914, 33156}, {32915, 69252}, {32922, 33171}, {32923, 71939}, {32925, 69300}, {32928, 72002}, {32929, 33075}, {32934, 33082}, {32936, 72008}, {32940, 71941}, {33064, 49493}, {33072, 49720}, {33073, 50314}, {33090, 71929}, {33091, 71927}, {33093, 46918}, {33103, 50117}, {33111, 62226}, {33117, 71631}, {33131, 48647}, {33162, 72162}, {33163, 71934}, {33166, 71932}, {33170, 71936}, {33761, 63100}, {33833, 64185}, {33931, 69601}, {33935, 33949}, {33941, 37445}, {34255, 62773}, {34258, 56214}, {41002, 71524}, {41014, 50042}, {41242, 63010}, {41822, 69227}, {49450, 63147}, {49506, 71918}, {50079, 71913}, {50312, 59312}, {50315, 62865}, {50744, 72080}, {51192, 72016}, {53664, 63002}, {54389, 63037}, {59309, 69623}, {60730, 72196}, {63140, 65166}, {63961, 69301}, {69298, 72161}, {71320, 72216}

X(72319) = reflection of X(i) in X(j) for these {i,j}: {32773, 32778}, {62229, 27184}
X(72319) = X(33935)-Ceva conjugate of X(5224)
X(72319) = X(3876)-cross conjugate of X(5224)
X(72319) = X(i)-isoconjugate of X(j) for these (i,j): {34, 57704}, {56, 2214}, {603, 68567}, {604, 43531}, {835, 57181}, {1395, 57876}, {1402, 56047}, {1415, 43927}, {4017, 58951}, {51641, 68197}
X(72319) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 2214}, {1146, 43927}, {3161, 43531}, {7952, 68567}, {11517, 57704}, {17398, 52783}, {28606, 4654}, {34961, 58951}, {39016, 43924}, {40605, 56047}, {41849, 7}, {62584, 57876}, {62586, 57}
X(72319) = crosspoint of X(312) and X(42030)
X(72319) = crossdifference of every pair of points on line {7180, 50512}
X(72319) = barycentric product X(i)*X(j) for these {i,j}: {8, 5224}, {9, 33935}, {21, 42714}, {75, 3876}, {312, 28606}, {333, 56810}, {345, 469}, {346, 33949}, {386, 3596}, {522, 33948}, {645, 23879}, {646, 14349}, {3699, 45746}, {4076, 65116}, {6332, 65204}, {7257, 47842}, {28660, 56926}, {30713, 61409}, {35519, 65313}, {40072, 71619}, {42030, 62586}, {42664, 62534}, {44103, 57919}
X(72319) = barycentric quotient X(i)/X(j) for these {i,j}: {8, 43531}, {9, 2214}, {219, 57704}, {281, 68567}, {333, 56047}, {345, 57876}, {386, 56}, {469, 278}, {522, 43927}, {645, 68197}, {646, 37218}, {834, 43924}, {3596, 57824}, {3699, 835}, {3876, 1}, {5224, 7}, {5546, 58951}, {14349, 3669}, {23282, 66287}, {23879, 7178}, {28606, 57}, {33935, 85}, {33948, 664}, {33949, 279}, {42664, 7180}, {42714, 1441}, {44103, 608}, {45746, 3676}, {47842, 4017}, {50488, 51641}, {52782, 52783}, {56810, 226}, {56926, 1400}, {61409, 1412}, {62586, 4654}, {65116, 1358}, {65204, 653}, {65313, 109}, {70157, 69779}, {71619, 1402}
X(72319) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3969, 17233}, {2, 17314, 34064}, {8, 345, 333}, {8, 70517, 3996}, {75, 306, 18134}, {81, 20017, 17377}, {226, 4431, 42029}, {312, 3687, 5233}, {312, 4110, 30713}, {321, 33077, 4417}, {2321, 3687, 312}, {2895, 32933, 17347}, {3703, 4046, 8}, {3790, 70973, 210}, {3943, 5743, 41839}, {4023, 6057, 27538}, {4359, 32858, 17234}, {4886, 42033, 9}, {5294, 50306, 3759}, {5564, 33116, 5271}, {5839, 26065, 71915}, {6703, 17388, 58820}, {15523, 32860, 4429}, {17147, 32782, 4389}, {17151, 25527, 19796}, {17184, 50106, 4398}, {17230, 17490, 69092}, {17362, 44416, 37652}, {17393, 19827, 69544}, {28606, 56810, 5224}, {33093, 46918, 71979}

X(72320) = X(1)X(57234)∩X(6)X(4079)

X(72320) lies on these lines: {1, 57234}, {6, 4079}, {86, 52602}, {512, 20981}, {513, 1100}, {649, 834}, {661, 38469}, {663, 788}, {688, 68886}, {798, 2605}, {1015, 59801}, {1924, 39548}, {2300, 3063}, {2308, 54274}, {2309, 69777}, {2484, 23472}, {2642, 31947}, {3049, 42664}, {3287, 4879}, {3737, 21832}, {3768, 48306}, {3835, 21304}, {4036, 24506}, {4107, 17217}, {4132, 68885}, {4502, 4775}, {4750, 15419}, {4813, 65663}, {6371, 8632}, {8061, 8674}, {8540, 9029}, {15313, 50454}, {17159, 17379}, {17796, 57133}, {21262, 30835}, {21788, 57078}, {23650, 58160}, {37869, 47761}, {45882, 63461}, {48022, 53532}, {48292, 71078}, {50349, 71079}, {53314, 68881}, {63504, 63867}, {68953, 69639}, {69397, 71140}

X(72320) = reflection of X(i) in X(j) for these {i,j}: {649, 1919}, {21304, 3835}
X(72320) = isogonal conjugate of the isotomic conjugate of X(21196)
X(72320) = X(i)-Ceva conjugate of X(j) for these (i,j): {512, 649}, {20981, 20979}, {29038, 31}
X(72320) = X(i)-isoconjugate of X(j) for these (i,j): {10, 65257}, {37, 53655}, {99, 52208}, {100, 6625}, {101, 51865}, {190, 13610}, {321, 53628}, {662, 63885}, {668, 2248}, {811, 15377}, {1018, 40164}, {1978, 18757}, {4586, 40777}
X(72320) = X(i)-Dao conjugate of X(j) for these (i,j): {86, 670}, {1015, 51865}, {1084, 63885}, {6627, 76}, {8054, 6625}, {17423, 15377}, {21196, 52623}, {38986, 52208}, {40589, 53655}, {55049, 40777}, {55053, 13610}
X(72320) = crosspoint of X(i) and X(j) for these (i,j): {1, 4603}, {6, 4556}
X(72320) = crosssum of X(i) and X(j) for these (i,j): {1, 57234}, {2, 4024}, {99, 53655}, {514, 17302}, {523, 23905}, {4064, 23899}, {4079, 23929}, {7265, 24922}
X(72320) = crossdifference of every pair of points on line {10, 894}
X(72320) = barycentric product X(i)*X(j) for these {i,j}: {1, 69354}, {6, 21196}, {31, 50451}, {512, 6626}, {513, 846}, {514, 18755}, {647, 2905}, {649, 1654}, {661, 38814}, {663, 17084}, {667, 17762}, {669, 64224}, {1019, 21879}, {1178, 24381}, {1459, 4213}, {1491, 40751}, {1919, 51857}, {2605, 14844}, {2786, 51332}, {3122, 57060}, {3250, 40722}, {3733, 21085}, {4010, 51867}, {4367, 63627}, {4455, 52207}, {4556, 6627}, {4977, 38836}, {5029, 39921}, {7252, 27691}, {7649, 22139}, {8937, 68900}, {21832, 45783}, {27569, 57129}
X(72320) = barycentric quotient X(i)/X(j) for these {i,j}: {58, 53655}, {512, 63885}, {513, 51865}, {649, 6625}, {667, 13610}, {788, 40777}, {798, 52208}, {846, 668}, {1333, 65257}, {1654, 1978}, {1919, 2248}, {1980, 18757}, {2206, 53628}, {2905, 6331}, {3049, 15377}, {3733, 40164}, {6626, 670}, {6627, 52623}, {8937, 53216}, {17084, 4572}, {17762, 6386}, {18755, 190}, {21085, 27808}, {21196, 76}, {21879, 4033}, {22139, 4561}, {24381, 1237}, {38814, 799}, {38836, 6540}, {40722, 37133}, {40751, 789}, {45783, 4639}, {50451, 561}, {51332, 35148}, {51867, 4589}, {63627, 56241}, {64224, 4609}, {69354, 75}
X(72320) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {798, 2605, 5029}, {3287, 4879, 21834}, {4775, 20980, 4502}, {21007, 21123, 649}

X(72321) = X(6)X(2667)∩X(55)X(219)

X(72321) lies on these lines: {6, 2667}, {9, 4516}, {35, 17976}, {55, 219}, {71, 17798}, {332, 3712}, {846, 22139}, {1030, 35327}, {1098, 71176}, {1253, 4517}, {1334, 2330}, {2098, 66219}, {2209, 69282}, {2256, 21010}, {2287, 4433}, {3573, 8424}, {3724, 54296}, {3939, 7064}, {4640, 71075}, {7122, 17735}, {8540, 71278}, {15624, 71692}, {15988, 45705}, {17796, 64169}, {20742, 62817}, {20992, 68748}, {23079, 53280}, {25613, 48900}, {44302, 70867}, {54440, 64007}, {58370, 65442}, {66224, 66234}, {68585, 69723}, {69245, 70486}

X(72321) = X(i)-Ceva conjugate of X(j) for these (i,j): {846, 18755}, {1334, 55}
X(72321) = X(i)-isoconjugate of X(j) for these (i,j): {7, 13610}, {56, 51865}, {57, 6625}, {65, 40164}, {85, 2248}, {1014, 63885}, {1434, 52208}, {4017, 53655}, {4077, 53628}, {6063, 18757}, {7178, 65257}
X(72321) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 51865}, {5452, 6625}, {6627, 52621}, {34961, 53655}, {40602, 40164}
X(72321) = crosssum of X(i) and X(j) for these (i,j): {514, 4934}, {1365, 3676}
X(72321) = crossdifference of every pair of points on line {7178, 28840}
X(72321) = barycentric product X(i)*X(j) for these {i,j}: {8, 18755}, {9, 846}, {21, 21879}, {41, 17762}, {55, 1654}, {210, 38814}, {219, 4213}, {220, 17084}, {281, 22139}, {284, 21085}, {644, 69354}, {1334, 6626}, {2175, 51857}, {2194, 27569}, {2318, 2905}, {2328, 27691}, {2329, 63627}, {3686, 38836}, {3709, 57060}, {3939, 21196}, {3985, 51867}, {4433, 45783}, {4517, 40722}, {14844, 52405}
X(72321) = barycentric quotient X(i)/X(j) for these {i,j}: {9, 51865}, {41, 13610}, {55, 6625}, {284, 40164}, {846, 85}, {1334, 63885}, {1654, 6063}, {2175, 2248}, {4213, 331}, {5546, 53655}, {9447, 18757}, {17084, 57792}, {17762, 20567}, {18755, 7}, {21085, 349}, {21196, 52621}, {21879, 1441}, {22139, 348}, {27954, 7205}, {38814, 57785}, {51857, 41283}, {65375, 65257}, {69354, 24002}
X(72321) = {X(2328),X(40966)}-harmonic conjugate of X(55)

X(72322) = X(1)X(1573)∩X(9)X(21)

X(72322) lies on these lines: {1, 1573}, {8, 4919}, {9, 21}, {36, 17746}, {39, 5529}, {43, 69225}, {57, 25946}, {63, 19308}, {72, 3509}, {101, 3678}, {171, 21874}, {172, 1757}, {191, 35342}, {200, 3208}, {210, 2329}, {213, 5293}, {220, 7281}, {846, 18755}, {936, 17754}, {960, 3684}, {978, 69283}, {997, 21384}, {1043, 3985}, {1046, 5277}, {1054, 69246}, {1213, 11281}, {1334, 4420}, {1654, 17084}, {1743, 7296}, {1761, 15586}, {1781, 24048}, {2176, 3961}, {2475, 69727}, {2650, 37675}, {2893, 27559}, {3053, 7262}, {3061, 37658}, {3207, 5220}, {3216, 69281}, {3247, 40977}, {3294, 69275}, {3496, 5692}, {3501, 50361}, {3570, 17739}, {3681, 9310}, {3689, 4520}, {3691, 4511}, {3699, 4095}, {3711, 4513}, {3870, 22230}, {3875, 71567}, {3929, 35276}, {3940, 69284}, {3984, 19318}, {4051, 5289}, {4053, 50198}, {4109, 16086}, {4213, 21085}, {4251, 10176}, {4416, 71067}, {4662, 6603}, {5044, 41239}, {5524, 20691}, {5745, 27399}, {6048, 9620}, {8235, 54388}, {8583, 51194}, {8846, 8931}, {9451, 56542}, {13610, 20698}, {16503, 25917}, {16519, 29821}, {16552, 69274}, {16973, 21214}, {17349, 69273}, {17448, 47623}, {18061, 69868}, {21014, 27524}, {21677, 69729}, {21921, 34195}, {24439, 53476}, {28043, 28050}, {28631, 41333}, {34772, 59207}, {34790, 56530}, {37573, 70518}, {38930, 44669}, {39244, 63087}, {41229, 71480}, {49448, 69222}, {52370, 52405}, {54386, 70461}, {56176, 60711}, {59511, 70421}, {68950, 70218}

X(72322) = X(i)-Ceva conjugate of X(j) for these (i,j): {210, 9}, {1654, 846}, {2329, 3208}
X(72322) = X(i)-isoconjugate of X(j) for these (i,j): {7, 2248}, {56, 6625}, {57, 13610}, {85, 18757}, {604, 51865}, {1014, 52208}, {1400, 40164}, {1412, 63885}, {4017, 65257}, {7178, 53628}, {7180, 53655}
X(72322) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 6625}, {86, 57785}, {3161, 51865}, {5452, 13610}, {6627, 24002}, {34961, 65257}, {40582, 40164}, {40599, 63885}
X(72322) = crossdifference of every pair of points on line {4017, 4784}
X(72322) = barycentric product X(i)*X(j) for these {i,j}: {8, 846}, {9, 1654}, {21, 21085}, {41, 51857}, {55, 17762}, {78, 4213}, {200, 17084}, {210, 6626}, {284, 27569}, {312, 18755}, {318, 22139}, {333, 21879}, {644, 21196}, {2287, 27691}, {2321, 38814}, {2905, 3694}, {3699, 69354}, {3702, 38836}, {3790, 40751}, {3939, 50451}, {3985, 45783}, {4041, 57060}, {4420, 14844}, {4433, 52207}, {7081, 63627}, {44687, 66746}
X(72322) = barycentric quotient X(i)/X(j) for these {i,j}: {8, 51865}, {9, 6625}, {21, 40164}, {41, 2248}, {55, 13610}, {210, 63885}, {643, 53655}, {846, 7}, {1334, 52208}, {1654, 85}, {2175, 18757}, {4213, 273}, {4517, 40777}, {5546, 65257}, {6626, 57785}, {17084, 1088}, {17762, 6063}, {18755, 57}, {21085, 1441}, {21196, 24002}, {21879, 226}, {22139, 77}, {27569, 349}, {27691, 1446}, {27954, 7196}, {38814, 1434}, {50451, 52621}, {51857, 20567}, {52370, 15377}, {57060, 4625}, {63627, 7249}, {65375, 53628}, {69354, 3676}
X(72322) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {41, 3876, 9}, {78, 70519, 9}, {2287, 21033, 9}, {5277, 21839, 1046}, {18755, 21879, 846}

X(72323) = X(1)X(59628)∩X(8)X(21)

X(72323) lies on these lines: {1, 59628}, {2, 740}, {8, 21}, {9, 70973}, {43, 17280}, {75, 29839}, {86, 66530}, {100, 199}, {145, 17716}, {165, 2784}, {171, 6542}, {200, 3790}, {210, 42033}, {239, 59692}, {306, 4645}, {319, 4640}, {344, 26038}, {346, 3985}, {519, 5429}, {536, 33126}, {594, 59238}, {846, 1654}, {874, 30660}, {894, 4028}, {1211, 9791}, {1278, 33144}, {1330, 21081}, {1376, 17233}, {1503, 9778}, {1707, 17363}, {1834, 9780}, {2308, 14459}, {2318, 4420}, {2321, 7081}, {2325, 72055}, {2345, 59297}, {2475, 27558}, {2887, 62392}, {2891, 6763}, {2895, 4427}, {3178, 26051}, {3210, 33171}, {3616, 20182}, {3647, 41814}, {3661, 17594}, {3681, 50105}, {3683, 4886}, {3685, 3687}, {3696, 33116}, {3699, 6057}, {3705, 3886}, {3706, 32851}, {3722, 70456}, {3740, 17264}, {3744, 50015}, {3769, 17299}, {3771, 49474}, {3773, 60714}, {3786, 40966}, {3791, 20016}, {3794, 35104}, {3846, 4693}, {3875, 29634}, {3896, 32779}, {3923, 62998}, {3932, 71926}, {3936, 64010}, {3974, 71529}, {3980, 17300}, {3993, 72004}, {4061, 56078}, {4062, 4418}, {4065, 24931}, {4082, 72059}, {4102, 4995}, {4104, 17261}, {4133, 66632}, {4204, 17776}, {4213, 27569}, {4360, 72216}, {4365, 29846}, {4387, 5233}, {4388, 32929}, {4414, 37653}, {4417, 5695}, {4431, 13405}, {4438, 49459}, {4440, 33064}, {4442, 30831}, {4512, 70969}, {4515, 40792}, {4527, 37764}, {4647, 25650}, {4651, 32849}, {4682, 17315}, {4685, 33164}, {4697, 20090}, {4709, 33138}, {4716, 6679}, {4854, 30832}, {4903, 42032}, {4970, 17302}, {5143, 17751}, {5211, 32943}, {5268, 17242}, {5524, 69297}, {5550, 41926}, {5657, 14636}, {5687, 20836}, {5741, 17777}, {5839, 21793}, {5846, 71910}, {6646, 32934}, {6690, 55095}, {7155, 71175}, {7172, 71636}, {7262, 62989}, {8013, 26044}, {10389, 50310}, {10453, 17740}, {14555, 71524}, {17056, 68999}, {17061, 17160}, {17084, 17762}, {17126, 20017}, {17135, 33168}, {17147, 33175}, {17155, 71939}, {17268, 62673}, {17295, 72220}, {17362, 59580}, {17495, 33173}, {17591, 50311}, {17596, 49560}, {17715, 70454}, {17718, 42029}, {19808, 37593}, {19998, 33166}, {20011, 33170}, {20012, 33163}, {20077, 24850}, {20095, 28599}, {20101, 32852}, {20653, 26117}, {23600, 27512}, {24161, 25663}, {24342, 26109}, {24628, 29616}, {25568, 50107}, {26073, 29687}, {26840, 32845}, {28522, 33152}, {28581, 33121}, {28604, 43223}, {29587, 33174}, {29635, 49469}, {29640, 62226}, {29641, 63131}, {29837, 49470}, {29838, 32921}, {29840, 32855}, {30543, 70499}, {31017, 33102}, {31037, 33100}, {32847, 71450}, {32848, 32945}, {32854, 71451}, {32862, 71927}, {32866, 49704}, {32930, 63002}, {32936, 69300}, {32939, 71937}, {33071, 49484}, {33089, 71929}, {33115, 71631}, {33118, 50104}, {33122, 50106}, {33124, 42051}, {33161, 72162}, {33761, 70970}, {35263, 50306}, {37467, 64727}, {37576, 54433}, {38000, 59547}, {38456, 51678}, {41014, 63996}, {41629, 59574}, {42334, 59624}, {44416, 71934}, {49477, 72026}, {49707, 63147}, {50087, 71807}, {64083, 67713}, {68969, 69091}

X(72323) = reflection of X(i) in X(j) for these {i,j}: {2, 33160}, {41629, 59574}
X(72323) = anticomplement of X(33135)
X(72323) = X(i)-Ceva conjugate of X(j) for these (i,j): {2321, 8}, {7081, 27538}, {17762, 1654}
X(72323) = X(i)-isoconjugate of X(j) for these (i,j): {7, 18757}, {56, 13610}, {57, 2248}, {604, 6625}, {1396, 15377}, {1397, 51865}, {1402, 40164}, {1408, 63885}, {1412, 52208}, {4017, 53628}, {7180, 65257}, {51641, 53655}
X(72323) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 13610}, {86, 1434}, {3161, 6625}, {5452, 2248}, {6627, 3676}, {21196, 1365}, {34961, 53628}, {40599, 52208}, {40605, 40164}, {59577, 63885}, {62585, 51865}, {63486, 7249}
X(72323) = crosspoint of X(3699) and X(6064)
X(72323) = crosssum of X(43924) and X(61052)
X(72323) = barycentric product X(i)*X(j) for these {i,j}: {8, 1654}, {9, 17762}, {21, 27569}, {55, 51857}, {312, 846}, {314, 21879}, {333, 21085}, {345, 4213}, {346, 17084}, {644, 50451}, {646, 69354}, {1043, 27691}, {1334, 64224}, {2321, 6626}, {2905, 3710}, {3596, 18755}, {3699, 21196}, {3700, 57060}, {3701, 38814}, {3790, 40722}, {3985, 52207}, {4451, 27954}, {6064, 6627}, {7017, 22139}, {14844, 42033}, {17787, 63627}
X(72323) = barycentric quotient X(i)/X(j) for these {i,j}: {8, 6625}, {9, 13610}, {41, 18757}, {55, 2248}, {210, 52208}, {312, 51865}, {333, 40164}, {643, 65257}, {645, 53655}, {846, 57}, {1654, 7}, {2318, 15377}, {2321, 63885}, {4213, 278}, {5546, 53628}, {6626, 1434}, {6627, 1365}, {14844, 52374}, {17084, 279}, {17762, 85}, {18755, 56}, {21085, 226}, {21196, 3676}, {21879, 65}, {22139, 222}, {27569, 1441}, {27691, 3668}, {27954, 7176}, {38814, 1014}, {50451, 24002}, {51857, 6063}, {57060, 4573}, {63627, 1432}, {69354, 3669}
X(72323) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {306, 32932, 4645}, {333, 4046, 8}, {345, 70517, 8}, {846, 21085, 1654}, {1043, 3704, 8}, {3703, 3996, 8}, {3703, 70523, 3996}, {3712, 4046, 333}, {4061, 56078, 60731}, {4062, 4418, 17778}, {4365, 29846, 37759}, {4433, 18235, 56181}, {4970, 32783, 17302}, {17362, 59580, 72200}, {32845, 33081, 26840}, {32855, 32941, 29840}, {32860, 33156, 2}, {32866, 71918, 49704}, {32929, 33077, 4388}, {32934, 33084, 6646}, {42033, 70971, 210}

X(72324) = X(6)X(31)∩X(9)X(560)

X(72324) lies on these lines: {6, 31}, {9, 560}, {37, 7122}, {44, 2210}, {101, 922}, {190, 1580}, {199, 21936}, {238, 5150}, {284, 872}, {572, 1964}, {662, 2664}, {663, 1919}, {692, 3747}, {756, 2206}, {765, 1110}, {869, 2278}, {899, 5161}, {923, 34075}, {984, 993}, {1333, 20964}, {1582, 17277}, {1766, 69204}, {1911, 68748}, {1922, 69971}, {1961, 69892}, {2234, 65168}, {2244, 20602}, {2643, 16548}, {2667, 55100}, {3009, 7113}, {3122, 17798}, {3248, 5053}, {3285, 4557}, {3764, 37586}, {4118, 16566}, {4268, 7032}, {4384, 69205}, {4497, 63497}, {4579, 69887}, {5035, 20985}, {5143, 17954}, {5224, 32916}, {5291, 67404}, {6646, 18209}, {7104, 69977}, {8300, 68966}, {8750, 57653}, {8772, 21801}, {16568, 71851}, {16793, 56507}, {17264, 68898}, {17381, 25496}, {17763, 19623}, {17796, 58287}, {24294, 70854}, {34067, 34079}, {36267, 69700}, {42084, 70439}, {49746, 50300}, {52897, 70914}, {62828, 66674}, {70547, 71495}

X(72324) = isogonal conjugate of the isotomic conjugate of X(17763)
X(72324) = X(70443)-Ceva conjugate of X(5291)
X(72324) = X(i)-isoconjugate of X(j) for these (i,j): {2, 17946}, {7, 11609}, {28, 57847}, {69, 17981}, {75, 17954}, {76, 17961}, {81, 11611}, {99, 18015}, {264, 17971}, {286, 57680}, {513, 35147}, {514, 65239}, {523, 17929}, {651, 60484}, {670, 18002}, {693, 2703}, {850, 17939}, {20911, 53689}
X(72324) = X(i)-Dao conjugate of X(j) for these (i,j): {206, 17954}, {32664, 17946}, {35079, 3261}, {38986, 18015}, {38991, 60484}, {39026, 35147}, {40586, 11611}, {40591, 57847}
X(72324) = crosspoint of X(i) and X(j) for these (i,j): {5006, 70443}, {5061, 5291}
X(72324) = crosssum of X(i) and X(j) for these (i,j): {2, 32842}, {514, 68990}, {1086, 71087}, {11609, 17946}
X(72324) = crossdifference of every pair of points on line {514, 4357}
X(72324) = barycentric product X(i)*X(j) for these {i,j}: {1, 5291}, {6, 17763}, {9, 5061}, {10, 5006}, {19, 17977}, {31, 17790}, {37, 70443}, {42, 19623}, {48, 17987}, {58, 68897}, {71, 422}, {100, 68885}, {101, 2787}, {163, 18003}, {190, 5040}, {213, 5209}, {291, 67404}, {513, 70442}, {649, 70417}, {661, 17944}, {662, 17989}, {798, 17935}, {1252, 68990}
X(72324) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 17946}, {32, 17954}, {41, 11609}, {42, 11611}, {71, 57847}, {101, 35147}, {163, 17929}, {422, 44129}, {560, 17961}, {663, 60484}, {692, 65239}, {798, 18015}, {1924, 18002}, {1973, 17981}, {2200, 57680}, {2787, 3261}, {5006, 86}, {5040, 514}, {5061, 85}, {5209, 6385}, {5291, 75}, {9247, 17971}, {17763, 76}, {17790, 561}, {17935, 4602}, {17944, 799}, {17977, 304}, {17987, 1969}, {17989, 1577}, {18003, 20948}, {19623, 310}, {32739, 2703}, {67404, 350}, {68885, 693}, {68897, 313}, {68990, 23989}, {70417, 1978}, {70442, 668}, {70443, 274}
X(72324) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 2267, 71872}, {3285, 4557, 18266}, {17798, 65741, 3122}

X(72325) = X(2)X(37)∩X(6)X(76)

X(72325) lies on these lines: {1, 71141}, {2, 37}, {6, 76}, {8, 22289}, {9, 3760}, {10, 20174}, {39, 56023}, {69, 18144}, {86, 20913}, {99, 5124}, {141, 314}, {149, 21289}, {183, 36744}, {190, 34017}, {193, 44147}, {194, 5069}, {239, 313}, {256, 24688}, {264, 11341}, {274, 17398}, {310, 24512}, {311, 69045}, {319, 52043}, {349, 41246}, {384, 1333}, {385, 2220}, {386, 12263}, {524, 44139}, {579, 29455}, {583, 37686}, {594, 17143}, {599, 34282}, {668, 17362}, {714, 24575}, {726, 4283}, {730, 18170}, {894, 1269}, {966, 18135}, {992, 28660}, {1030, 1078}, {1045, 24327}, {1089, 33159}, {1100, 1909}, {1172, 1235}, {1213, 18140}, {1228, 17541}, {1230, 32911}, {1449, 3761}, {1654, 18133}, {1761, 16560}, {1975, 36743}, {2092, 3934}, {2197, 28771}, {2214, 14621}, {2238, 18152}, {2260, 70940}, {2303, 17686}, {3216, 25688}, {3264, 17117}, {3416, 5015}, {3589, 53478}, {3596, 4361}, {3618, 70500}, {3661, 18044}, {3686, 6381}, {3729, 29561}, {3734, 5019}, {3759, 3765}, {3783, 22316}, {3821, 36250}, {3891, 54341}, {3912, 34830}, {3943, 29447}, {3948, 17277}, {3963, 4360}, {3975, 17348}, {4044, 17353}, {4074, 18021}, {4093, 32860}, {4254, 69381}, {4263, 9466}, {4270, 71623}, {4272, 37678}, {4275, 69262}, {4277, 31276}, {4377, 4852}, {4385, 38047}, {4494, 17151}, {4643, 70247}, {4645, 24523}, {4710, 4716}, {4749, 71629}, {4851, 20917}, {5035, 17128}, {5042, 17130}, {5105, 71622}, {5120, 69380}, {5153, 33296}, {5209, 59631}, {5275, 40022}, {5276, 39998}, {5362, 41001}, {5367, 41000}, {5750, 20888}, {5880, 59619}, {6376, 17275}, {6385, 9230}, {6542, 18040}, {6646, 39995}, {6650, 40010}, {6656, 53417}, {7155, 24717}, {7751, 16946}, {7803, 70504}, {8024, 33854}, {9902, 18194}, {10447, 17306}, {10471, 25499}, {10479, 32784}, {16514, 69277}, {16684, 71142}, {16685, 40859}, {16732, 17788}, {16744, 39798}, {16884, 64133}, {17031, 71139}, {17053, 69256}, {17061, 70487}, {17119, 70251}, {17129, 33882}, {17144, 17299}, {17229, 60730}, {17252, 69538}, {17259, 30830}, {17294, 18065}, {17296, 58787}, {17300, 18143}, {17330, 18145}, {17349, 31060}, {17369, 34023}, {17379, 45221}, {17381, 70943}, {17388, 70809}, {17794, 64581}, {18136, 37653}, {18148, 24731}, {19952, 27838}, {20150, 45223}, {21065, 71053}, {21238, 24478}, {21278, 25048}, {21858, 26752}, {22071, 28798}, {24342, 25458}, {24592, 69547}, {25280, 59514}, {26235, 37675}, {26772, 31026}, {26963, 62636}, {26976, 71944}, {27020, 56926}, {27111, 30819}, {27792, 62998}, {28809, 37650}, {29474, 30567}, {29960, 69583}, {30054, 70150}, {32104, 59772}, {32863, 40013}, {32914, 69550}, {32930, 69636}, {34284, 63055}, {37503, 69417}, {37676, 44154}, {40012, 54686}, {40085, 71500}, {40088, 56660}, {41233, 71672}, {50036, 59635}, {50095, 56253}, {53421, 70210}, {62989, 65161}, {63053, 70472}, {63520, 72148}, {64709, 71458}, {69212, 70445}, {70696, 71621}

X(72325) = isotomic conjugate of the isogonal conjugate of X(69212)
X(72325) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {82, 18133}, {251, 24068}, {596, 1369}, {39798, 21289}, {40148, 2896}
X(72325) = X(40085)-Ceva conjugate of X(3770)
X(72325) = X(69549)-cross conjugate of X(32914)
X(72325) = X(649)-isoconjugate of X(29071)
X(72325) = X(i)-Dao conjugate of X(j) for these (i,j): {5375, 29071}, {69212, 5347}
X(72325) = crosspoint of X(34537) and X(65286)
X(72325) = trilinear pole of line {29070, 69618}
X(72325) = crossdifference of every pair of points on line {667, 688}
X(72325) = barycentric product X(i)*X(j) for these {i,j}: {75, 32914}, {76, 69212}, {99, 69619}, {274, 69549}, {310, 69550}, {313, 70446}, {321, 70445}, {668, 29070}, {670, 69618}, {799, 69548}, {1502, 5371}, {1978, 68880}, {3261, 70444}
X(72325) = barycentric quotient X(i)/X(j) for these {i,j}: {100, 29071}, {5371, 32}, {29070, 513}, {32914, 1}, {68880, 649}, {69212, 6}, {69548, 661}, {69549, 37}, {69550, 42}, {69618, 512}, {69619, 523}, {70444, 101}, {70445, 81}, {70446, 58}
X(72325) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 18147, 25660}, {2, 44140, 70852}, {6, 76, 3770}, {75, 18046, 2}, {75, 29764, 17302}, {190, 34017, 41681}, {312, 19803, 3772}, {346, 29542, 72063}, {2277, 72127, 25505}, {2345, 4441, 72193}, {3759, 30596, 3765}, {4043, 70854, 17280}, {17144, 17786, 17299}, {17790, 69635, 75}, {18137, 29484, 2}, {18143, 30939, 17300}, {22289, 56537, 8}, {29802, 72185, 4000}, {30940, 61416, 17034}, {60861, 72193, 2345}

X(72326) = X(1)X(6)∩X(2)X(1914)

X(72326) lies on these lines: {1, 6}, {2, 1914}, {3, 16604}, {10, 2241}, {21, 2275}, {31, 24512}, {32, 1125}, {39, 5248}, {48, 2112}, {55, 1575}, {56, 71493}, {65, 69233}, {71, 20459}, {75, 4366}, {83, 27255}, {86, 1333}, {87, 8424}, {100, 10987}, {142, 53602}, {171, 21793}, {172, 3616}, {183, 20530}, {190, 71502}, {230, 3816}, {244, 69239}, {251, 29648}, {284, 18904}, {292, 23407}, {330, 16914}, {344, 5839}, {346, 70454}, {350, 16998}, {384, 31997}, {385, 30963}, {551, 2242}, {572, 31394}, {594, 32941}, {595, 17750}, {604, 1284}, {609, 25055}, {614, 69220}, {673, 17278}, {726, 70734}, {748, 2238}, {894, 24357}, {902, 69230}, {940, 56508}, {942, 69235}, {978, 18755}, {993, 1015}, {995, 70976}, {1086, 33869}, {1213, 41333}, {1486, 17798}, {1572, 54318}, {1574, 8715}, {1621, 2276}, {1627, 29666}, {1655, 71445}, {1739, 69236}, {1740, 5110}, {1909, 16916}, {1911, 52656}, {1919, 62558}, {2110, 15624}, {2262, 63522}, {2295, 3915}, {2309, 40934}, {2321, 71414}, {2344, 56805}, {2548, 10198}, {2975, 63493}, {3053, 25524}, {3054, 6667}, {3058, 21956}, {3125, 69241}, {3295, 20691}, {3496, 20271}, {3509, 29820}, {3624, 5277}, {3661, 17275}, {3666, 56511}, {3684, 17123}, {3686, 49560}, {3720, 21764}, {3721, 28082}, {3726, 5282}, {3727, 3924}, {3735, 30117}, {3739, 20172}, {3754, 69232}, {3758, 20147}, {3759, 20142}, {3815, 6690}, {3822, 5475}, {3825, 7746}, {3870, 20693}, {3875, 70956}, {3905, 59515}, {3913, 21868}, {3932, 17362}, {4026, 4660}, {4078, 71921}, {4136, 71811}, {4254, 21892}, {4262, 71609}, {4376, 26234}, {4383, 21904}, {4396, 17002}, {4400, 18135}, {4423, 5275}, {4428, 31477}, {4644, 6646}, {4688, 20181}, {4852, 20162}, {5014, 20483}, {5019, 33682}, {5047, 69210}, {5119, 21888}, {5124, 20872}, {5132, 46838}, {5145, 37819}, {5153, 70815}, {5250, 69248}, {5256, 69552}, {5257, 16946}, {5263, 17303}, {5276, 5284}, {5337, 15668}, {5750, 49482}, {5883, 69234}, {6376, 16918}, {6675, 31466}, {6872, 9597}, {7054, 27180}, {7175, 64827}, {7191, 41269}, {7735, 26105}, {7736, 10315}, {7745, 25466}, {7772, 25092}, {7805, 71878}, {8053, 37586}, {8616, 17735}, {8624, 24331}, {9259, 71480}, {9367, 32561}, {9665, 25639}, {10197, 31476}, {10200, 69207}, {10314, 58402}, {11108, 70550}, {11110, 69068}, {11113, 69098}, {12514, 69224}, {16020, 62693}, {16058, 16606}, {16418, 31449}, {16549, 69229}, {16580, 34830}, {16589, 71494}, {16593, 17337}, {16818, 25497}, {16822, 59512}, {16826, 20159}, {16845, 31405}, {16866, 31468}, {16992, 21264}, {16996, 30998}, {17026, 71592}, {17027, 33295}, {17125, 44304}, {17127, 60697}, {17259, 17308}, {17274, 41311}, {17281, 50310}, {17294, 41310}, {17299, 68969}, {17314, 50015}, {17330, 50311}, {17333, 41312}, {17348, 20154}, {17354, 68876}, {17381, 71825}, {17389, 41313}, {17394, 20132}, {17540, 69095}, {17541, 72128}, {17692, 71446}, {17756, 61155}, {18589, 68747}, {19237, 62803}, {19719, 37869}, {20131, 28639}, {20174, 33935}, {20331, 41423}, {21008, 21214}, {21101, 71517}, {21341, 72012}, {21352, 70692}, {21857, 37502}, {21858, 40732}, {21951, 69240}, {22065, 23443}, {24249, 49777}, {24289, 71444}, {24443, 69237}, {24542, 69266}, {25101, 50026}, {25102, 26687}, {25439, 52959}, {25508, 68984}, {25542, 70538}, {26102, 40750}, {26244, 71980}, {27317, 28420}, {27623, 54423}, {27644, 63158}, {28011, 69222}, {28244, 36744}, {28358, 28365}, {29382, 68964}, {29588, 63050}, {29698, 70685}, {29968, 71956}, {30030, 71957}, {30063, 72169}, {30412, 36552}, {30413, 36553}, {30940, 70445}, {31455, 58404}, {32613, 34460}, {32921, 70696}, {33863, 54354}, {37128, 56934}, {37658, 71453}, {37670, 72127}, {37677, 71528}, {39257, 41847}, {39688, 71872}, {40464, 48387}, {40479, 72111}, {41144, 47037}, {48805, 48851}, {48822, 49740}, {49756, 49764}, {49774, 72170}, {49997, 71481}, {50011, 64702}, {51314, 59631}, {52410, 62789}, {54382, 54392}, {56025, 71595}, {56191, 70476}, {60724, 62849}, {62805, 71204}, {63055, 70419}, {64675, 69217}, {68478, 70991}, {68708, 70462}, {68950, 69231}, {69226, 69247}, {69888, 70446}, {70463, 72206}, {71132, 71952}, {71474, 71955}

X(72326) = X(70450)-Ceva conjugate of X(16825)
X(72326) = X(514)-isoconjugate of X(29363)
X(72326) = crosspoint of X(i) and X(j) for these (i,j): {16825, 36538}, {70450, 70451}
X(72326) = crosssum of X(i) and X(j) for these (i,j): {1, 69218}, {6, 37576}
X(72326) = crossdifference of every pair of points on line {513, 24462}
X(72326) = X(1)-line conjugate of X(49692)
X(72326) = barycentric product X(i)*X(j) for these {i,j}: {1, 16825}, {9, 36538}, {10, 70451}, {37, 70450}, {100, 29362}, {514, 70449}
X(72326) = barycentric quotient X(i)/X(j) for these {i,j}: {692, 29363}, {16825, 75}, {29362, 693}, {36538, 85}, {70449, 190}, {70450, 274}, {70451, 86}
X(72326) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 9, 49509}, {1, 69212, 4426}, {2, 1914, 4386}, {6, 1001, 37}, {6, 16685, 40728}, {6, 16884, 4649}, {6, 49706, 69218}, {9, 16779, 6}, {10, 2241, 69243}, {86, 70693, 14621}, {238, 16503, 6}, {405, 16502, 1107}, {748, 2280, 2238}, {958, 16781, 17448}, {1100, 70738, 6}, {1449, 16468, 6}, {1621, 33854, 2276}, {2300, 23660, 6}, {3624, 7031, 5277}, {3684, 17123, 37673}, {3720, 21764, 63099}, {4366, 17000, 75}, {5251, 16784, 16975}, {5259, 5299, 5283}, {8616, 17754, 17735}, {12514, 69224, 69246}, {15485, 16779, 9}, {16780, 31435, 69225}, {17127, 63066, 60697}, {18755, 71610, 978}, {20142, 20180, 3759}, {21214, 70974, 21008}, {24443, 71211, 69237}, {26102, 70461, 40750}, {68893, 69212, 1}

X(72327) = X(6)X(31)∩X(9)X(7122)

X(72327) lies on these lines: {6, 31}, {9, 7122}, {35, 50592}, {44, 560}, {78, 1757}, {100, 71664}, {205, 19554}, {219, 58287}, {572, 869}, {604, 3009}, {872, 2278}, {899, 1958}, {922, 3204}, {984, 2975}, {1580, 17350}, {1582, 17349}, {1654, 71477}, {1743, 2210}, {1964, 4268}, {2206, 2287}, {3122, 4497}, {5009, 16948}, {5019, 20964}, {5042, 20985}, {5053, 7032}, {5224, 32918}, {8300, 63050}, {17339, 68898}, {17347, 18209}, {17348, 69205}, {17381, 32944}, {21760, 23545}, {23619, 69231}, {23659, 37586}, {27958, 32931}, {28365, 70914}, {29649, 70447}, {63053, 70481}, {63497, 65741}, {70535, 71495}

X(72327) = isogonal conjugate of the isotomic conjugate of X(29649)
X(72327) = X(693)-isoconjugate of X(29325)
X(72327) = barycentric product X(i)*X(j) for these {i,j}: {6, 29649}, {37, 70448}, {42, 70447}, {101, 29324}
X(72327) = barycentric quotient X(i)/X(j) for these {i,j}: {29324, 3261}, {29649, 76}, {32739, 29325}, {70447, 310}, {70448, 274}

X(72328) = X(1)X(6)∩X(32)X(519)

X(72328) lies on these lines: {1, 6}, {3, 20691}, {8, 172}, {10, 2242}, {31, 69245}, {32, 519}, {39, 8666}, {41, 3780}, {43, 21008}, {46, 21888}, {55, 20781}, {56, 1575}, {63, 69248}, {75, 6645}, {78, 20693}, {145, 1914}, {169, 50014}, {183, 25102}, {187, 8715}, {190, 71501}, {197, 17798}, {230, 12607}, {315, 62463}, {345, 6542}, {384, 17144}, {385, 24524}, {517, 69235}, {524, 72138}, {529, 5254}, {535, 7748}, {536, 1975}, {609, 3632}, {712, 71522}, {978, 9259}, {993, 1500}, {999, 16604}, {1015, 62825}, {1018, 69231}, {1043, 1333}, {1055, 3214}, {1222, 40746}, {1376, 21868}, {1415, 41687}, {1468, 2295}, {1759, 49494}, {1968, 68004}, {2178, 21857}, {2196, 2217}, {2205, 71936}, {2238, 9310}, {2240, 71942}, {2241, 3244}, {2243, 69240}, {2275, 54391}, {2276, 2975}, {2319, 17105}, {2321, 5019}, {2548, 45700}, {2802, 69232}, {3052, 58327}, {3053, 3913}, {3057, 69233}, {3125, 17736}, {3208, 17735}, {3293, 71482}, {3501, 33863}, {3509, 3959}, {3550, 4050}, {3633, 7031}, {3661, 14829}, {3679, 5277}, {3704, 50252}, {3721, 49487}, {3726, 3924}, {3727, 5282}, {3735, 15955}, {3769, 70386}, {3813, 7745}, {3872, 54382}, {3891, 71839}, {3905, 9055}, {3987, 69238}, {4136, 71807}, {4262, 50575}, {4421, 5023}, {4479, 17128}, {4642, 69239}, {4950, 71753}, {5013, 11194}, {5035, 17281}, {5042, 17355}, {5267, 31451}, {5301, 17388}, {5305, 72139}, {5337, 17294}, {5475, 24387}, {7296, 69210}, {7354, 21956}, {7738, 34610}, {7754, 72137}, {7805, 33908}, {8624, 49488}, {9263, 71445}, {9596, 10527}, {9597, 20076}, {9599, 10529}, {9620, 62858}, {9650, 25639}, {10448, 60724}, {10459, 63099}, {11235, 65630}, {11236, 13881}, {14614, 72136}, {14974, 52964}, {15621, 37586}, {16569, 71611}, {16822, 49481}, {16914, 32095}, {16992, 24656}, {16997, 25280}, {16998, 25303}, {17001, 25278}, {17016, 41269}, {17033, 18047}, {17135, 69488}, {17389, 41629}, {17737, 20060}, {17743, 37686}, {17752, 69262}, {17759, 71446}, {17762, 44352}, {17962, 39969}, {18156, 24358}, {18755, 50581}, {20065, 62467}, {20102, 20553}, {20271, 60353}, {20530, 26687}, {21318, 32912}, {21793, 37588}, {21861, 44662}, {24528, 63818}, {24735, 69263}, {25092, 31456}, {25440, 52959}, {26363, 31409}, {26752, 71449}, {29417, 68964}, {29605, 70875}, {29968, 72170}, {30109, 71475}, {32468, 71176}, {33854, 62837}, {33882, 50131}, {33938, 69270}, {34620, 44519}, {34625, 69208}, {36476, 54317}, {37574, 59238}, {37676, 52134}, {40750, 59311}, {41333, 49497}, {45701, 69207}, {48628, 69891}, {49760, 56517}, {52680, 69229}, {54418, 69222}, {56018, 69068}, {57038, 71474}, {59310, 70461}, {62420, 71925}, {62426, 70158}, {63050, 71533}, {63075, 63499}, {69227, 69249}, {70119, 71881}, {70532, 71490}, {71398, 72164}

X(72328) = midpoint of X(i) and X(j) for these {i,j}: {7754, 72137}, {71522, 71803}
X(72328) = reflection of X(i) in X(j) for these {i,j}: {69243, 32}, {72139, 5305}
X(72328) = X(70447)-Ceva conjugate of X(29649)
X(72328) = X(514)-isoconjugate of X(29325)
X(72328) = crosspoint of X(70447) and X(70448)
X(72328) = crosssum of X(1) and X(39248)
X(72328) = barycentric product X(i)*X(j) for these {i,j}: {1, 29649}, {10, 70448}, {37, 70447}, {100, 29324}
X(72328) = barycentric quotient X(i)/X(j) for these {i,j}: {692, 29325}, {29324, 693}, {29649, 75}, {70447, 274}, {70448, 86}
X(72328) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 5291, 4426}, {1, 54406, 71086}, {6, 12513, 17448}, {8, 172, 4386}, {956, 54416, 1107}, {1468, 4390, 2295}, {1759, 49494, 69244}, {5247, 56530, 2176}, {5258, 16785, 5283}, {5280, 5288, 16975}, {9620, 62858, 69246}, {33854, 62837, 63493}, {50581, 71480, 18755}, {54391, 69211, 2275}

X(72329) = X(1)X(20913)∩X(2)X(37)

X(72329) lies on these lines: {1, 20913}, {2, 37}, {6, 1269}, {8, 52043}, {31, 17031}, {38, 49519}, {42, 3891}, {55, 26237}, {63, 17026}, {76, 239}, {81, 310}, {274, 17397}, {291, 17155}, {306, 20335}, {313, 4361}, {314, 3662}, {319, 18144}, {349, 5228}, {561, 56660}, {594, 18044}, {668, 29617}, {672, 32933}, {740, 30982}, {748, 4368}, {869, 12263}, {1008, 5262}, {1150, 56509}, {1230, 2238}, {1654, 70247}, {1836, 69017}, {1909, 4393}, {2140, 3912}, {2239, 4362}, {2275, 62636}, {2319, 64225}, {3008, 4044}, {3120, 30953}, {3187, 37676}, {3264, 17119}, {3416, 4863}, {3434, 4645}, {3596, 17117}, {3661, 17143}, {3681, 17794}, {3720, 24552}, {3729, 56507}, {3741, 3821}, {3759, 3770}, {3760, 3948}, {3761, 16834}, {3764, 24688}, {3779, 17142}, {3783, 32860}, {3789, 4651}, {3840, 24177}, {3875, 3963}, {3902, 50316}, {3936, 30985}, {3975, 16816}, {4007, 18065}, {4383, 4713}, {4410, 16666}, {4442, 30942}, {4643, 39995}, {4675, 30939}, {4692, 50287}, {4714, 48809}, {4851, 18143}, {4972, 31330}, {5222, 70500}, {5224, 20174}, {5249, 31006}, {5278, 24592}, {5564, 30473}, {5739, 30946}, {5741, 30961}, {5839, 44147}, {5880, 29824}, {6381, 50095}, {6384, 6650}, {6542, 17144}, {7191, 54291}, {7196, 21454}, {8299, 26238}, {8301, 26232}, {10447, 17304}, {11679, 56508}, {16549, 29561}, {16815, 30830}, {17011, 37632}, {17017, 40718}, {17018, 72078}, {17023, 20888}, {17028, 62796}, {17029, 62795}, {17030, 40773}, {17032, 62851}, {17033, 62813}, {17034, 71655}, {17064, 30752}, {17121, 34283}, {17149, 24731}, {17157, 24575}, {17230, 60730}, {17251, 69538}, {17275, 18133}, {17288, 34282}, {17298, 58787}, {17299, 18040}, {17308, 32104}, {17363, 44139}, {17366, 53478}, {17389, 70809}, {17861, 21442}, {17889, 30969}, {18031, 63236}, {18059, 62625}, {18098, 61416}, {18135, 59212}, {18139, 30949}, {18140, 29576}, {18145, 66441}, {18152, 71857}, {18206, 29742}, {19308, 71449}, {19856, 28612}, {19950, 27838}, {20016, 24524}, {20140, 20166}, {20257, 30059}, {20347, 32859}, {20553, 32863}, {21071, 29988}, {21956, 69092}, {22289, 64553}, {24330, 26223}, {24342, 26102}, {24514, 32911}, {24587, 53591}, {24598, 26959}, {26037, 69296}, {26038, 41915}, {26541, 26621}, {26626, 34284}, {26801, 62803}, {26821, 63493}, {26840, 69265}, {28634, 56249}, {28916, 34387}, {29433, 62817}, {29577, 30866}, {29584, 64133}, {29586, 31997}, {29603, 32092}, {29610, 70253}, {29981, 34830}, {30571, 41818}, {30945, 69251}, {30997, 33077}, {31004, 32782}, {31005, 32915}, {31027, 33172}, {31036, 72129}, {31317, 60719}, {32922, 63818}, {32939, 37686}, {37096, 69097}, {37639, 71650}, {41233, 68769}, {48643, 70922}, {49474, 62553}, {50301, 72163}, {52257, 69280}, {57034, 64554}, {59207, 71987}, {68980, 71872}, {69016, 69256}, {70260, 70462}, {70481, 70502}, {71614, 72128}, {71700, 72161}

X(72329) = X(649)-isoconjugate of X(29363)
X(72329) = X(i)-Dao conjugate of X(j) for these (i,j): {5375, 29363}, {16825, 69218}
X(72329) = barycentric product X(i)*X(j) for these {i,j}: {75, 16825}, {312, 36538}, {313, 70451}, {321, 70450}, {668, 29362}, {3261, 70449}
X(72329) = barycentric quotient X(i)/X(j) for these {i,j}: {100, 29363}, {16825, 1}, {29362, 513}, {36538, 57}, {70449, 101}, {70450, 81}, {70451, 58}
X(72329) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4441, 321}, {2, 17147, 2276}, {2, 17759, 71573}, {75, 18046, 17303}, {75, 29764, 4657}, {75, 70983, 17301}, {76, 239, 3765}, {3666, 21264, 2}, {3760, 4384, 3948}, {4000, 44140, 20891}, {4043, 29484, 17279}, {4359, 70739, 2}, {4362, 24260, 2239}, {4657, 19834, 32774}, {13576, 17135, 5014}, {16816, 31060, 3975}, {17023, 20888, 70943}, {17031, 24259, 31}, {17144, 20917, 6542}, {17308, 32104, 60736}, {17490, 30998, 2}, {18137, 29756, 17278}, {19804, 30963, 2}, {26238, 32929, 8299}, {29802, 70852, 16706}, {50106, 71573, 17759}

X(72330) = X(1)X(30054)∩X(2)X(37)

X(72330) lies on these lines: {1, 30054}, {2, 37}, {6, 3264}, {7, 52043}, {76, 17116}, {193, 25298}, {239, 70251}, {256, 71578}, {313, 4363}, {314, 48628}, {320, 30473}, {518, 25291}, {527, 56253}, {646, 17242}, {668, 17364}, {726, 23677}, {869, 59562}, {894, 3596}, {940, 30713}, {1086, 18044}, {1201, 32921}, {1269, 17118}, {1423, 65233}, {2275, 71948}, {2995, 30034}, {3056, 20352}, {3416, 15983}, {3436, 4645}, {3501, 29983}, {3729, 3948}, {3779, 53338}, {3912, 30037}, {3963, 4494}, {3975, 17350}, {4033, 4851}, {4110, 6542}, {4440, 70247}, {4643, 56249}, {4675, 18040}, {4783, 49497}, {6173, 18065}, {6376, 6646}, {7222, 44147}, {7229, 70500}, {7321, 18144}, {8424, 26232}, {9902, 24342}, {10447, 60736}, {10459, 50302}, {14621, 23617}, {17247, 18140}, {17255, 69538}, {17257, 59212}, {17261, 30830}, {17276, 18133}, {17299, 30939}, {17300, 17786}, {17343, 25280}, {17345, 59514}, {17376, 59519}, {17738, 24590}, {17752, 30092}, {17861, 20432}, {17864, 33942}, {18830, 27444}, {20080, 25278}, {20090, 24524}, {20258, 30052}, {20913, 25590}, {20917, 26806}, {21299, 24451}, {25279, 56802}, {26975, 71945}, {27424, 54120}, {27549, 52353}, {28365, 40886}, {29615, 34282}, {30030, 69718}, {30940, 56353}, {31034, 59712}, {32859, 40603}, {32912, 71663}, {39354, 45242}, {44139, 50128}, {62585, 62998}, {63053, 70467}, {63520, 72151}, {70121, 71883}, {70395, 71872}

X(72330) = anticomplement of X(28366)
X(72330) = X(649)-isoconjugate of X(29325)
X(72330) = X(i)-Dao conjugate of X(j) for these (i,j): {5375, 29325}, {29649, 39248}
X(72330) = barycentric product X(i)*X(j) for these {i,j}: {75, 29649}, {313, 70448}, {321, 70447}, {668, 29324}
X(72330) = barycentric quotient X(i)/X(j) for these {i,j}: {100, 29325}, {29324, 513}, {29649, 1}, {70447, 81}, {70448, 58}
X(72330) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 18046, 17301}, {75, 29388, 17303}, {192, 27102, 2277}, {894, 3596, 3765}, {4494, 10436, 3963}, {18137, 29705, 17281}, {20258, 30059, 30052}, {60861, 72189, 16706}

X(72331) = X(6)X(31)∩X(44)X(7122)

X(72331) lies on these lines: {6, 31}, {44, 7122}, {560, 1743}, {572, 872}, {869, 4268}, {984, 8666}, {1582, 68966}, {1654, 71479}, {1757, 69274}, {1964, 5053}, {2210, 16669}, {2305, 58368}, {4579, 71139}, {5035, 20964}, {9359, 33760}, {17349, 70908}, {17381, 70942}, {18209, 20072}, {59511, 70448}, {63053, 70483}

X(72332) = X(1)X(6)∩X(32)X(145)

X(72332) lies on these lines: {1, 6}, {8, 2242}, {32, 145}, {36, 20691}, {39, 54391}, {56, 21859}, {58, 69245}, {101, 3780}, {115, 20060}, {149, 7747}, {172, 519}, {187, 3871}, {346, 5042}, {384, 70809}, {404, 52959}, {529, 69096}, {609, 3633}, {754, 20102}, {1015, 62837}, {1018, 33863}, {1046, 4919}, {1333, 17388}, {1500, 2975}, {1572, 36846}, {1574, 5253}, {1575, 5563}, {1914, 3244}, {2241, 3241}, {2275, 62825}, {2276, 8666}, {2548, 10529}, {2549, 20076}, {3208, 69231}, {3216, 9259}, {3218, 69249}, {3293, 21008}, {3336, 21888}, {3509, 69244}, {3632, 4386}, {3661, 71984}, {3721, 15955}, {3746, 71493}, {3872, 69217}, {3885, 69232}, {3943, 5035}, {3959, 17736}, {4050, 37603}, {4257, 69228}, {4383, 68964}, {4390, 17750}, {4513, 5021}, {4595, 71585}, {4652, 31433}, {5019, 17314}, {5080, 69259}, {5337, 6542}, {5697, 69235}, {6645, 17143}, {6763, 69248}, {6781, 20066}, {7031, 51093}, {7756, 20067}, {7760, 9263}, {7787, 54098}, {9596, 45700}, {9620, 62874}, {9650, 11680}, {9651, 34605}, {10527, 31409}, {10528, 69207}, {11194, 31448}, {14923, 69234}, {17034, 18047}, {17144, 71650}, {17178, 68984}, {17389, 70875}, {17737, 69175}, {18755, 71482}, {18990, 21956}, {20247, 24281}, {20693, 69274}, {21773, 21858}, {29588, 69887}, {29605, 69024}, {29966, 71475}, {32912, 70862}, {33954, 69008}, {35007, 64199}, {37676, 69735}, {40746, 56145}, {51319, 71922}, {62832, 69224}, {62848, 71204}, {64176, 69238}, {69233, 71729}, {69862, 71393}, {69869, 71593}, {70454, 70460}

X(72332) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4426, 68893}, {1, 5291, 69212}, {8, 2242, 5277}, {609, 3633, 69243}, {4426, 68893, 69212}, {5288, 16785, 1107}, {5291, 68893, 4426}, {12513, 54416, 16975}, {17736, 49494, 3959}, {62837, 69211, 1015}

X(72333) = X(2)X(37)∩X(6)X(70251)

X(72333) lies on these lines: {2, 37}, {6, 70251}, {7, 30473}, {76, 17118}, {313, 17116}, {314, 4665}, {646, 17243}, {668, 17365}, {894, 3264}, {1761, 29529}, {3596, 3770}, {3729, 29429}, {3760, 29406}, {3875, 68964}, {3948, 29399}, {3975, 17351}, {4033, 17300}, {4110, 4851}, {4436, 71142}, {4440, 18133}, {4494, 25590}, {4645, 56880}, {4675, 17786}, {6376, 17276}, {6646, 56249}, {7228, 44139}, {7321, 52043}, {14621, 40018}, {17246, 18140}, {17258, 59212}, {17262, 30830}, {17336, 29504}, {17344, 25280}, {17349, 71650}, {17390, 72066}, {17483, 40603}, {17738, 29380}, {18040, 26806}, {18044, 48627}, {18144, 42697}, {21238, 24463}, {24598, 71946}, {25382, 70395}, {29382, 29511}, {29393, 29509}, {29400, 29405}, {31300, 65161}, {33942, 70823}, {35544, 63398}, {37674, 59761}, {63053, 70477}, {63520, 72145}, {68585, 69754}

X(72333) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 29388, 2}, {3596, 4363, 3770}, {3739, 4506, 17787}

X(72334) = X(1)X(6)∩X(32)X(551)

X(72334) lies on these lines: {1, 6}, {2, 69243}, {21, 63493}, {32, 551}, {43, 71610}, {55, 16604}, {172, 3622}, {244, 69237}, {354, 69235}, {404, 10987}, {748, 3780}, {942, 69233}, {999, 71493}, {1015, 5248}, {1125, 2241}, {1506, 10197}, {1572, 64675}, {1574, 25439}, {1575, 3295}, {1621, 2275}, {1697, 21888}, {1914, 3616}, {2242, 3636}, {3303, 20691}, {3727, 28082}, {3822, 9665}, {3875, 70957}, {3915, 24512}, {4366, 31997}, {4423, 70532}, {4428, 5013}, {4664, 7839}, {4666, 54382}, {5023, 40726}, {5250, 69246}, {5254, 49736}, {5277, 25055}, {5883, 69232}, {7738, 47357}, {7749, 10199}, {7770, 24656}, {8616, 33863}, {9259, 70974}, {9596, 10587}, {11285, 24739}, {11321, 25130}, {14621, 71600}, {16060, 24652}, {16842, 25614}, {16865, 63499}, {16914, 31999}, {16916, 25303}, {16918, 24524}, {17000, 17144}, {17381, 71824}, {17397, 69024}, {17691, 24654}, {17750, 40091}, {18755, 21214}, {20271, 29820}, {21793, 37607}, {22065, 23415}, {24358, 39731}, {28011, 69220}, {29603, 70875}, {30030, 71956}, {40750, 70466}, {41144, 69381}, {42028, 56042}, {49774, 71957}, {58565, 69234}, {68950, 69229}, {69224, 69248}, {69239, 71211}, {71474, 71952}

X(72334) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1001, 16781, 1107}, {1125, 2241, 4386}, {16973, 31435, 21879}

X(72335) = X(1)X(6)∩X(32)X(3244)

X(72335) lies on these lines: {1, 6}, {32, 3244}, {39, 62825}, {43, 9259}, {56, 20691}, {57, 21888}, {145, 172}, {187, 25439}, {474, 21868}, {519, 2242}, {535, 9664}, {609, 51093}, {996, 69512}, {997, 20693}, {999, 1575}, {1120, 40746}, {1468, 69245}, {1500, 8666}, {1914, 3241}, {2241, 3635}, {2275, 62837}, {2276, 54391}, {2802, 69234}, {3057, 69235}, {3125, 49494}, {3208, 33863}, {3295, 71493}, {3304, 16604}, {3632, 5277}, {3661, 71985}, {3726, 49487}, {3729, 71596}, {3780, 9310}, {3950, 5042}, {3997, 9346}, {4050, 37608}, {4390, 24512}, {4851, 69044}, {4919, 32913}, {5210, 61153}, {5337, 29605}, {5434, 21956}, {6048, 71611}, {6542, 17740}, {6645, 17144}, {9596, 10529}, {9598, 20076}, {9599, 11240}, {9650, 24387}, {9957, 69233}, {10027, 69262}, {11194, 31477}, {17015, 41269}, {17027, 18047}, {17389, 69024}, {17736, 69244}, {17962, 56150}, {21008, 50581}, {31409, 45700}, {36846, 54382}, {40131, 50014}, {50637, 70975}, {53418, 66065}, {54310, 69230}, {62858, 69248}, {62874, 69246}, {63493, 69211}

X(72335) = reflection of X(4386) in X(2242)
X(72335) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 69218, 71086}, {145, 172, 69243}

X(72336) = X(2)X(37)∩X(76)X(17117)

X(72336) lies on these lines: {2, 37}, {76, 17117}, {239, 34283}, {274, 17396}, {313, 17119}, {314, 48627}, {1269, 3765}, {3662, 17143}, {3875, 20913}, {3946, 70943}, {3963, 17151}, {4371, 25298}, {4389, 20174}, {4402, 70500}, {4645, 5082}, {4665, 18044}, {5564, 18144}, {16710, 63493}, {17144, 17300}, {17155, 24575}, {17232, 60730}, {17275, 39995}, {17299, 18143}, {17304, 32104}, {17306, 60736}, {17326, 70253}, {17391, 70809}, {18133, 28634}, {24165, 63497}, {26237, 64727}, {29617, 44139}, {30940, 56042}, {42696, 52043}

X(72336) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 29764, 17303}, {75, 70983, 4657}, {1269, 4361, 3765}, {4371, 44147, 25298}

X(72337) = X(2)X(37)∩X(313)X(17118)

X(72337) lies on these lines: {2, 37}, {313, 17118}, {646, 17244}, {668, 50128}, {894, 70251}, {1149, 32921}, {3264, 3765}, {3421, 4645}, {3596, 17116}, {3948, 4659}, {3963, 25590}, {4033, 4675}, {4110, 17300}, {4419, 59212}, {4440, 6376}, {4492, 46910}, {4494, 20913}, {4644, 25298}, {4741, 25280}, {6381, 50119}, {7263, 18044}, {7321, 30473}, {14621, 40400}, {17276, 56249}, {17786, 26806}, {24463, 71578}, {25382, 71872}, {42697, 52043}, {49747, 69538}

X(72337) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 29388, 4657}, {3264, 4363, 3765}

X(72338) = X(1)X(6)∩X(2)X(560)

X(72338) lies on these lines: {1, 6}, {2, 560}, {584, 3783}, {1580, 4657}, {1582, 17303}, {2210, 5224}, {7122, 17381}, {8300, 17275}, {17306, 18209}, {17363, 69634}, {17743, 28593}, {21238, 52133}, {24943, 30966}, {26222, 29667}, {28604, 69205}, {32772, 71670}, {33087, 70451}

X(72338) = {X(1),X(9)}-harmonic conjugate of X(68892)

X(72339) = X(1)X(2)∩X(32)X(75)

X(72339) lies on these lines: {1, 2}, {32, 75}, {58, 31317}, {274, 4372}, {333, 69831}, {385, 33945}, {984, 71564}, {1089, 16916}, {1215, 71615}, {1914, 33935}, {1930, 16998}, {2241, 17762}, {3797, 5248}, {3954, 71505}, {4262, 17117}, {4361, 18755}, {4400, 33934}, {4426, 33941}, {4680, 33841}, {4894, 71850}, {5224, 71566}, {5282, 71500}, {7751, 33944}, {7807, 69091}, {16060, 32922}, {16974, 70559}, {17000, 33942}, {17688, 49480}, {21412, 52652}, {25598, 31090}, {31306, 37594}, {33931, 69212}, {49509, 71507}, {67979, 71570}, {69285, 71508}, {70475, 70984}, {71484, 71828}

X(72339) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 8, 30149}

X(72340) = X(1)X(2)∩X(32)X(17762)

X(72340) lies on these lines: {1, 2}, {32, 17762}, {75, 2242}, {172, 33935}, {191, 25270}, {257, 71522}, {385, 33936}, {740, 71618}, {993, 3797}, {1003, 5695}, {3704, 7807}, {3954, 71504}, {4361, 9259}, {4372, 17143}, {4396, 33934}, {4426, 33939}, {4647, 16915}, {4680, 71850}, {5025, 36974}, {5282, 71427}, {5291, 33931}, {7751, 20955}, {11368, 32941}, {14210, 16998}, {16886, 71855}, {16917, 28612}, {16927, 27785}, {17131, 18159}, {17688, 63292}, {24254, 69262}, {24282, 66152}, {24631, 71587}, {33832, 36250}, {49509, 71508}, {59509, 71617}, {64185, 71669}, {67979, 71567}, {69285, 71506}, {70475, 70509}, {70819, 71481}

X(72340) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {16822, 17733, 17034}

X(72341) = X(7)X(54365)∩X(32)X(75)

X(72341) lies on these lines: {7, 54365}, {8, 20102}, {32, 75}, {172, 33935}, {192, 30142}, {274, 4376}, {384, 33945}, {386, 894}, {609, 69271}, {869, 4418}, {976, 71500}, {984, 71565}, {1089, 16997}, {1215, 71616}, {1930, 16915}, {2242, 17762}, {3509, 69625}, {3729, 5293}, {3734, 33944}, {3954, 71510}, {4251, 31317}, {4262, 17116}, {4363, 18755}, {4386, 33941}, {5277, 33931}, {6645, 33936}, {7762, 69091}, {11115, 17489}, {16600, 17688}, {16917, 33942}, {17736, 31027}, {19284, 25263}, {24850, 49516}, {25440, 71831}, {27255, 71066}, {30115, 71503}, {30134, 70409}, {30149, 69670}, {32932, 41265}, {33818, 71053}, {41269, 68984}, {49509, 71512}, {67979, 71571}, {69262, 69549}, {69268, 71967}, {69272, 71502}, {69285, 71513}

X(72342) = X(32)X(17762)∩X(75)X(2241)

X(72342) lies on these lines: {32, 17762}, {75, 2241}, {192, 30145}, {257, 48863}, {384, 33936}, {740, 71617}, {976, 71427}, {1759, 31027}, {1914, 33935}, {3496, 69625}, {3704, 7762}, {3734, 20955}, {3735, 33954}, {3797, 71494}, {3923, 17499}, {3938, 71500}, {3954, 71509}, {4262, 27954}, {4366, 33945}, {4376, 17143}, {4386, 33939}, {4647, 16998}, {5695, 7754}, {7031, 69271}, {7823, 36974}, {8715, 71831}, {9941, 32941}, {10449, 66152}, {11319, 17497}, {14210, 16915}, {16611, 33817}, {16886, 71856}, {17000, 28612}, {17030, 71066}, {17130, 18159}, {20172, 71072}, {20553, 30149}, {24358, 70253}, {24631, 71586}, {25264, 32929}, {25270, 69281}, {27274, 69220}, {27324, 69219}, {30115, 71501}, {33297, 69235}, {33867, 54365}, {33941, 69243}, {49509, 71513}, {59509, 71618}, {67979, 71569}, {69227, 69265}, {69272, 71503}, {69285, 71511}, {70471, 70819}, {71436, 71918}

X(72342) = {X(48863),X(71523)}-harmonic conjugate of X(257)

X(72343) = X(1)X(2)∩X(31)X(31035)

X(72343) lies on these lines: {1, 2}, {31, 31035}, {37, 70489}, {81, 3952}, {86, 70878}, {100, 27804}, {171, 3995}, {312, 9347}, {321, 4682}, {750, 17147}, {756, 16704}, {894, 71117}, {896, 72054}, {940, 17165}, {984, 37639}, {1215, 8025}, {1255, 27811}, {1376, 64161}, {1621, 70908}, {1962, 4434}, {2308, 59517}, {3701, 37594}, {3715, 71916}, {3745, 4358}, {3769, 71478}, {3891, 37674}, {3989, 72207}, {3994, 4697}, {4038, 32927}, {4075, 69840}, {4078, 56520}, {4080, 33097}, {4096, 4722}, {4360, 68963}, {4387, 72017}, {4415, 17491}, {4418, 62227}, {4640, 72052}, {4663, 72057}, {4671, 70484}, {4734, 61156}, {5220, 71914}, {5695, 72021}, {5711, 25253}, {6535, 59628}, {6703, 69296}, {7226, 37684}, {9330, 37652}, {9345, 32920}, {11115, 63800}, {14996, 32937}, {16475, 26688}, {17122, 17495}, {17124, 32921}, {17126, 41839}, {17140, 32926}, {17145, 71930}, {17146, 71794}, {17163, 71981}, {17300, 33153}, {17390, 70863}, {17599, 71986}, {17602, 18139}, {18743, 62807}, {19717, 32931}, {20132, 31052}, {20290, 26580}, {20292, 53372}, {21093, 64164}, {21282, 24210}, {24003, 71184}, {24183, 59477}, {27538, 37685}, {27812, 55095}, {28606, 71479}, {30652, 71524}, {31037, 32846}, {31264, 50293}, {32848, 58443}, {32925, 37604}, {33761, 72197}, {37559, 56318}, {37595, 46897}, {38315, 71982}, {41241, 59506}, {46938, 70481}, {49448, 71919}, {49469, 71917}, {50284, 63010}, {53359, 69323}, {56983, 62847}, {62841, 64178}, {62855, 71980}, {63071, 69299}

X(72343) = barycentric product X(1)*X(29388)
X(72343) = barycentric quotient X(29388)/X(75)
X(72343) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17150, 68958}, {2, 20069, 32842}, {100, 34064, 27804}, {171, 3995, 4427}, {312, 9347, 70482}, {1961, 17763, 2}, {1999, 4651, 17162}, {1999, 5297, 4651}, {3840, 29816, 29823}, {5311, 29649, 2}, {7081, 17019, 29822}, {17122, 32928, 17495}, {18743, 62807, 70483}, {29645, 29687, 2}, {29653, 29683, 2}, {29658, 29854, 2}, {29674, 29847, 2}, {32926, 37633, 17140}

X(72344) = X(1)X(2)∩X(31)X(17490)

X(72344) lies on these lines: {1, 2}, {31, 17490}, {38, 17349}, {75, 70481}, {88, 72205}, {171, 24620}, {192, 748}, {238, 3210}, {244, 37683}, {321, 70485}, {354, 3759}, {726, 70742}, {982, 4974}, {1278, 32930}, {1386, 19804}, {1444, 5324}, {1621, 4734}, {1707, 62300}, {1836, 37756}, {3242, 71931}, {3315, 71936}, {3703, 17352}, {3752, 71477}, {3769, 16610}, {3791, 17063}, {3891, 27538}, {3952, 63096}, {3966, 16706}, {4000, 4388}, {4310, 63037}, {4359, 70419}, {4360, 4423}, {4361, 32942}, {4383, 32922}, {4387, 17160}, {4389, 41002}, {4392, 19742}, {4395, 72231}, {4676, 42051}, {4699, 32772}, {4850, 71476}, {4860, 41629}, {4903, 26688}, {4970, 15485}, {5233, 17061}, {5695, 72020}, {7290, 32932}, {8167, 34064}, {9335, 37639}, {9352, 70992}, {14997, 17165}, {16468, 24165}, {16476, 24621}, {16710, 70143}, {17082, 68963}, {17121, 62819}, {17123, 32921}, {17125, 32928}, {17127, 17495}, {17140, 63074}, {17147, 71524}, {17155, 17350}, {17232, 32852}, {17236, 72008}, {17277, 17599}, {17278, 33073}, {17366, 32773}, {17379, 71184}, {17383, 69294}, {17449, 71923}, {17591, 72208}, {17595, 72200}, {17597, 71934}, {17777, 30699}, {19796, 24703}, {21870, 72080}, {24349, 32911}, {24589, 62807}, {24789, 33071}, {26150, 32782}, {26724, 33070}, {28605, 70483}, {30614, 49707}, {31289, 33092}, {32912, 63050}, {32926, 37679}, {32940, 71635}, {33144, 63002}, {33148, 63010}, {33163, 63051}, {38315, 71981}, {41011, 48627}, {49474, 72206}, {49486, 72160}, {49523, 72053}, {49532, 71515}, {54311, 70969}, {56768, 62847}, {59477, 72217}, {60731, 62833}, {62235, 63060}, {62814, 71932}, {62855, 71983}, {62865, 71921}, {64010, 72018}, {65112, 71914}, {70152, 71978}, {70256, 72197}
on the Nagel line

X(72344) = crossdifference of every pair of points on line {649, 22229}
X(72344) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {239, 614, 10453}, {748, 32924, 192}, {982, 4974, 37652}, {1386, 19804, 70484}, {1999, 5272, 30947}, {3791, 17063, 37684}, {3891, 37680, 27538}, {4383, 32922, 32937}, {4651, 17024, 36534}, {16825, 29821, 2}, {17020, 26227, 59298}, {17123, 32921, 41839}, {26102, 49477, 58820}, {26723, 49987, 3705}, {29852, 69252, 2}

X(72345) = X(1)X(2)∩X(6)X(27538)

X(72345) lies on these lines: {1, 2}, {6, 27538}, {31, 41839}, {37, 3769}, {38, 37684}, {45, 72200}, {55, 34064}, {75, 4682}, {81, 32937}, {171, 192}, {312, 3745}, {321, 9347}, {726, 37604}, {750, 3210}, {756, 37652}, {846, 4704}, {940, 24349}, {984, 37683}, {985, 39703}, {1215, 17379}, {1278, 3980}, {1376, 4360}, {1386, 18743}, {1403, 55997}, {1707, 17261}, {1743, 72055}, {1965, 18135}, {2162, 2298}, {2308, 64178}, {3242, 71930}, {3509, 54359}, {3550, 3993}, {3685, 5269}, {3715, 71915}, {3724, 27804}, {3740, 3759}, {3758, 3967}, {3791, 17349}, {3844, 19812}, {3891, 37633}, {3952, 37685}, {3971, 17350}, {3974, 63013}, {3989, 72199}, {3995, 17126}, {4038, 32920}, {4104, 17363}, {4195, 63800}, {4203, 21010}, {4358, 62807}, {4385, 37594}, {4387, 72016}, {4389, 72220}, {4434, 17592}, {4447, 37467}, {4640, 4664}, {4650, 49456}, {4671, 70482}, {4676, 35652}, {4851, 33126}, {4903, 27064}, {4970, 56010}, {5220, 41629}, {5263, 70152}, {5687, 41813}, {5695, 72019}, {7226, 37639}, {7262, 72054}, {7322, 60731}, {9330, 19742}, {9345, 32923}, {9352, 69539}, {9791, 63140}, {10391, 20359}, {11246, 62229}, {11688, 37327}, {14594, 37543}, {14996, 17165}, {16468, 59517}, {16666, 59596}, {17061, 17234}, {17063, 49472}, {17122, 17490}, {17124, 24620}, {17127, 31035}, {17232, 26128}, {17233, 72216}, {17236, 33085}, {17242, 59692}, {17300, 33144}, {17319, 17594}, {17373, 33084}, {17375, 33064}, {17383, 33174}, {17599, 71985}, {17602, 18134}, {17697, 62847}, {17720, 33073}, {17725, 26176}, {19582, 57280}, {19808, 69089}, {21757, 56312}, {21780, 40750}, {21870, 72058}, {24210, 50289}, {26150, 69092}, {27549, 37666}, {28606, 71477}, {30545, 41354}, {30568, 62842}, {30861, 70942}, {31302, 32913}, {32855, 58443}, {32922, 37674}, {32927, 62821}, {32938, 62846}, {33068, 50068}, {33141, 50288}, {33153, 63056}, {34247, 56181}, {38315, 71980}, {39924, 40758}, {40735, 56046}, {46897, 62801}, {46937, 69543}, {46938, 70483}, {48643, 50301}, {49448, 71922}, {49469, 71450}, {49486, 71926}, {50281, 60714}, {50284, 62998}, {51054, 71907}, {56065, 56124}, {56311, 62809}, {62222, 62812}, {62796, 72205}, {62838, 72052}, {62855, 71978}, {64010, 72021}, {64170, 69262}

X(72345) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 7081, 59297}, {1, 29649, 2}, {1, 41261, 8}, {2, 20069, 33088}, {31, 41839, 71524}, {37, 3769, 71476}, {239, 5268, 26038}, {312, 3745, 70419}, {321, 9347, 70484}, {612, 1999, 8}, {750, 32928, 3210}, {940, 32926, 24349}, {1376, 4360, 4734}, {1386, 18743, 70485}, {1961, 4362, 2}, {2308, 64178, 70742}, {3187, 5297, 59296}, {3757, 5287, 3616}, {3920, 10453, 36534}, {3971, 62841, 17350}, {4358, 62807, 70481}, {5205, 5256, 59298}, {5311, 17763, 2}, {15523, 29847, 2}, {17122, 32921, 17490}, {17124, 32924, 24620}, {29636, 29687, 2}, {29643, 29683, 2}, {29645, 29674, 2}, {29653, 29658, 2}, {39595, 49476, 3705}

X(72346) = X(1)X(2)∩X(6)X(17140)

X(72346) lies on these lines: {1, 2}, {6, 17140}, {31, 17495}, {38, 4974}, {238, 17147}, {244, 3791}, {310, 70719}, {321, 70483}, {748, 3995}, {756, 49472}, {870, 16748}, {982, 16704}, {985, 39747}, {1001, 27804}, {1279, 3896}, {1386, 4359}, {1621, 64161}, {1743, 71793}, {1757, 20068}, {2308, 24165}, {3052, 4781}, {3210, 4427}, {3242, 71932}, {3315, 71935}, {3474, 42058}, {3662, 20290}, {3666, 71478}, {3683, 69539}, {3745, 24589}, {3752, 71479}, {3759, 3873}, {3875, 70874}, {3891, 3952}, {3966, 32774}, {3969, 72219}, {4000, 6327}, {4011, 62227}, {4228, 20247}, {4310, 63009}, {4360, 5284}, {4361, 17163}, {4365, 72206}, {4387, 72022}, {4388, 33150}, {4392, 37652}, {4395, 63979}, {4429, 28599}, {4442, 72231}, {4671, 70485}, {4676, 50106}, {4716, 32943}, {4722, 42055}, {4734, 61155}, {4860, 71914}, {4972, 17366}, {4981, 17348}, {4989, 5294}, {5057, 19796}, {5278, 17599}, {5695, 72018}, {5741, 17061}, {5847, 69251}, {7226, 17349}, {7290, 32929}, {9335, 37684}, {11115, 16478}, {14997, 32937}, {16466, 17164}, {16468, 17155}, {16476, 62636}, {16477, 32940}, {16703, 16709}, {16706, 33075}, {17121, 17146}, {17123, 31035}, {17126, 17490}, {17145, 17597}, {17154, 32912}, {17160, 72020}, {17165, 32911}, {17352, 32862}, {17357, 48648}, {17449, 71925}, {17491, 33146}, {17591, 72202}, {17598, 32864}, {17769, 69298}, {19284, 62847}, {19717, 24325}, {19804, 62807}, {20182, 27811}, {20292, 37756}, {21282, 33131}, {24349, 63074}, {24703, 50102}, {24789, 33070}, {25496, 31025}, {25557, 42045}, {26128, 31037}, {26627, 62845}, {26724, 33073}, {27538, 63096}, {27631, 56185}, {28605, 70481}, {31017, 32861}, {31289, 69295}, {32843, 33147}, {32844, 33132}, {32926, 37680}, {33069, 63071}, {33071, 33129}, {33144, 63010}, {33148, 62998}, {33153, 63002}, {33166, 63051}, {33295, 34443}, {38315, 71979}, {46901, 72208}, {49448, 71920}, {49469, 72159}, {49473, 71631}, {49474, 72198}, {49486, 71928}, {49489, 62867}, {49497, 62869}, {62235, 71915}, {62814, 71934}, {62855, 71981}, {62865, 71923}, {64010, 71873}, {64431, 69840}, {65112, 71913}, {68941, 70476}, {68963, 69262}, {70256, 72205}

X(72346) = anticomplement of X(29687)
X(72346) = X(29355)-anticomplementary conjugate of X(513)
X(72346) = barycentric product X(1)*X(29764)
X(72346) = barycentric quotient X(29764)/X(75)
X(72346) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {10, 29684, 2}, {38, 4974, 19742}, {238, 32924, 17147}, {239, 7191, 17135}, {244, 3791, 37639}, {614, 3187, 29824}, {748, 32921, 3995}, {1386, 4359, 70482}, {3210, 17127, 4427}, {3891, 4383, 3952}, {4361, 24552, 17163}, {16825, 17017, 2}, {17123, 32928, 31035}, {17150, 68958, 2}, {17597, 71936, 17145}, {24325, 71184, 19717}, {29654, 69252, 2}, {29821, 32914, 2}, {29850, 32866, 31079}, {29852, 32778, 2}, {32861, 33123, 31017}, {32911, 32922, 17165}, {40940, 49987, 69134}

X(72347) = X(1)X(2)∩X(6)X(3952)

X(72347) lies on these lines: {1, 2}, {6, 3952}, {31, 3995}, {37, 71478}, {38, 37639}, {45, 72203}, {55, 27804}, {75, 9347}, {81, 17165}, {100, 4360}, {171, 17147}, {192, 4427}, {238, 31035}, {244, 49472}, {312, 62807}, {321, 3745}, {750, 17495}, {756, 3791}, {896, 49456}, {902, 3993}, {940, 3891}, {984, 16704}, {985, 4613}, {1100, 46897}, {1155, 69539}, {1215, 19717}, {1386, 4358}, {1621, 34064}, {2177, 50281}, {2308, 3971}, {3242, 17145}, {3474, 50071}, {3666, 71479}, {3683, 72052}, {3701, 69543}, {3715, 63060}, {3722, 49471}, {3759, 63961}, {3769, 28606}, {3871, 41813}, {3873, 50362}, {3923, 62227}, {3936, 17602}, {3950, 35263}, {3969, 72216}, {3989, 71489}, {3994, 4672}, {4003, 24593}, {4009, 41241}, {4038, 32923}, {4054, 4349}, {4078, 61647}, {4080, 24725}, {4359, 4682}, {4361, 71983}, {4365, 72204}, {4389, 72211}, {4392, 37684}, {4434, 46904}, {4442, 72228}, {4447, 35984}, {4450, 4854}, {4645, 33155}, {4649, 32927}, {4664, 62838}, {4671, 70419}, {4679, 47356}, {4722, 42054}, {4781, 17318}, {4851, 33122}, {4968, 37594}, {5220, 71916}, {5264, 64071}, {5269, 32929}, {5294, 69301}, {5695, 72017}, {5698, 42058}, {5711, 17164}, {5847, 26580}, {5880, 50102}, {6679, 69295}, {7226, 37683}, {7465, 20247}, {7613, 19824}, {8025, 32771}, {9330, 17349}, {11319, 62847}, {11322, 21010}, {14544, 21270}, {14996, 24349}, {15571, 70908}, {16468, 64178}, {16478, 56983}, {16777, 27811}, {17061, 18139}, {17122, 32924}, {17127, 41839}, {17154, 49455}, {17155, 37604}, {17163, 71979}, {17233, 72213}, {17243, 24542}, {17300, 33148}, {17302, 33086}, {17362, 70970}, {17366, 24988}, {17390, 17724}, {17400, 52786}, {17449, 49464}, {17489, 70843}, {17491, 33151}, {17599, 71984}, {17600, 32918}, {17716, 32915}, {17720, 33070}, {17772, 69300}, {17778, 33153}, {19740, 50293}, {19786, 33078}, {20068, 32913}, {20101, 33100}, {20132, 31063}, {20290, 27184}, {20985, 31036}, {21093, 61707}, {21282, 33134}, {21283, 68589}, {21805, 49489}, {24068, 69840}, {24403, 70909}, {25253, 57280}, {25263, 71617}, {26223, 62845}, {27081, 50308}, {27538, 63074}, {27549, 63067}, {28599, 32773}, {28605, 70484}, {29144, 47694}, {30653, 71524}, {30939, 33931}, {31017, 32775}, {31025, 50302}, {31034, 50284}, {31037, 32852}, {32920, 62821}, {32922, 37633}, {32925, 62841}, {32935, 62846}, {32937, 37685}, {32942, 62855}, {32949, 33152}, {32950, 50068}, {33065, 63071}, {33072, 33135}, {33073, 33133}, {33112, 37759}, {33136, 50288}, {33144, 63056}, {33296, 35983}, {33761, 72200}, {36279, 50072}, {37316, 56538}, {37520, 49463}, {38315, 71978}, {39765, 69262}, {40750, 68986}, {41269, 70489}, {41683, 69479}, {46901, 72207}, {46938, 70485}, {49447, 62795}, {49448, 71924}, {49469, 71451}, {49486, 71927}, {56082, 62842}, {56318, 62805}, {59511, 71184}, {62235, 71913}, {62796, 72197}, {62812, 71793}, {62814, 71930}, {62819, 71794}, {62865, 71919}, {64010, 72019}, {64739, 65206}, {69495, 71548}, {70520, 71874}

X(72347) = anticomplement of X(69252)
X(72347) = X(29313)-anticomplementary conjugate of X(513)
X(72347) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 43, 68750}, {1, 17763, 2}, {1, 26227, 29822}, {1, 30942, 29823}, {2, 145, 32842}, {2, 20069, 33093}, {81, 32926, 17165}, {100, 4360, 64161}, {171, 32928, 17147}, {192, 17126, 4427}, {321, 3745, 70482}, {612, 3187, 4651}, {750, 32921, 17495}, {756, 3791, 19742}, {940, 3891, 17140}, {1386, 4358, 70483}, {1961, 32914, 2}, {1999, 3920, 17135}, {3242, 71933, 17145}, {4362, 5311, 2}, {15523, 29645, 2}, {17017, 29649, 2}, {17316, 26228, 29830}, {29631, 32847, 31079}, {29636, 29674, 2}, {29643, 29658, 2}, {29654, 29687, 2}, {29671, 29683, 2}, {29833, 50000, 10}, {29847, 32778, 2}, {32775, 32846, 31017}, {33134, 50289, 21282}, {62847, 63800, 11319}

X(72348) = X(1)X(2)∩X(6)X(24349)

X(72348) lies on these lines: {1, 2}, {6, 24349}, {21, 8844}, {31, 3210}, {38, 37652}, {44, 49447}, {55, 4734}, {56, 664}, {58, 62636}, {69, 71828}, {75, 1386}, {76, 70719}, {87, 23578}, {100, 37590}, {141, 26150}, {171, 17490}, {190, 49453}, {192, 238}, {193, 4310}, {194, 16476}, {213, 22036}, {244, 37684}, {312, 70485}, {320, 67964}, {321, 70481}, {330, 985}, {333, 17599}, {350, 69052}, {355, 36651}, {385, 70708}, {404, 21010}, {517, 36697}, {518, 3759}, {536, 4676}, {595, 54440}, {644, 2176}, {666, 7760}, {726, 16468}, {748, 32928}, {750, 24620}, {752, 33149}, {870, 34284}, {894, 16475}, {944, 36674}, {982, 3791}, {984, 4974}, {999, 19329}, {1001, 4360}, {1036, 69919}, {1107, 41269}, {1191, 70386}, {1278, 3923}, {1279, 4852}, {1456, 39126}, {1724, 31036}, {1738, 49684}, {1743, 49446}, {1757, 31302}, {1836, 19796}, {1909, 70709}, {1929, 38247}, {2082, 3509}, {2274, 18170}, {2308, 17155}, {2481, 56639}, {2975, 13723}, {3161, 16970}, {3242, 71934}, {3246, 49462}, {3315, 71933}, {3416, 16706}, {3485, 56928}, {3589, 26083}, {3662, 5847}, {3666, 71476}, {3672, 9791}, {3685, 3875}, {3702, 17144}, {3729, 16469}, {3745, 19804}, {3747, 64071}, {3751, 17121}, {3752, 3769}, {3758, 49483}, {3772, 33071}, {3773, 17358}, {3790, 4989}, {3844, 17370}, {3868, 20358}, {3883, 3946}, {3891, 32911}, {3896, 62806}, {3932, 17352}, {3952, 14997}, {3966, 19786}, {3969, 72210}, {3976, 69082}, {3993, 15485}, {4000, 4645}, {4026, 17380}, {4078, 17338}, {4085, 49506}, {4195, 16478}, {4259, 25048}, {4344, 4402}, {4349, 24199}, {4352, 54429}, {4353, 4416}, {4357, 70969}, {4359, 62807}, {4361, 5263}, {4363, 17225}, {4365, 72198}, {4366, 27480}, {4383, 27538}, {4387, 72020}, {4388, 19785}, {4389, 72217}, {4392, 16704}, {4395, 72228}, {4398, 17768}, {4417, 17061}, {4423, 34064}, {4427, 30653}, {4429, 5846}, {4432, 49452}, {4440, 24695}, {4442, 72222}, {4452, 24280}, {4663, 49499}, {4664, 15254}, {4671, 70483}, {4672, 49493}, {4699, 50302}, {4716, 32941}, {4740, 50300}, {4743, 49700}, {4749, 24717}, {4753, 49503}, {4772, 24342}, {4850, 71477}, {4860, 71913}, {4865, 33132}, {4966, 17377}, {4968, 70462}, {4970, 8616}, {4991, 49479}, {5057, 50102}, {5220, 68966}, {5233, 17602}, {5282, 21384}, {5603, 36659}, {5695, 17160}, {5698, 50101}, {5749, 16972}, {5838, 51194}, {5880, 37756}, {5886, 36676}, {6327, 33150}, {6604, 52160}, {6679, 32855}, {6904, 24375}, {7174, 60731}, {7226, 19742}, {7291, 62853}, {7677, 68344}, {7766, 8300}, {8666, 70908}, {9347, 24589}, {10030, 41354}, {10800, 24282}, {14012, 19848}, {14450, 17753}, {14544, 64151}, {15569, 17393}, {15601, 72051}, {16466, 37100}, {16477, 32935}, {16483, 70684}, {16484, 50281}, {16491, 17117}, {16669, 28582}, {16690, 20170}, {16974, 17526}, {16975, 70415}, {17119, 68999}, {17126, 17495}, {17127, 17147}, {17140, 37685}, {17165, 63074}, {17232, 32846}, {17233, 71320}, {17236, 33082}, {17238, 50308}, {17300, 50284}, {17301, 24723}, {17302, 50295}, {17336, 49523}, {17340, 28472}, {17362, 71322}, {17363, 49511}, {17364, 24231}, {17368, 38049}, {17373, 17772}, {17375, 49676}, {17378, 25557}, {17379, 24325}, {17383, 32784}, {17396, 50290}, {17448, 41015}, {17449, 71924}, {17469, 32860}, {17497, 70955}, {17591, 71489}, {17595, 72197}, {17597, 71935}, {17598, 32853}, {17769, 33165}, {17794, 20457}, {18135, 39044}, {18525, 36729}, {19271, 57280}, {20064, 33102}, {20148, 27298}, {20158, 33888}, {20247, 37254}, {20911, 31997}, {20985, 24621}, {21105, 48325}, {21870, 72079}, {22791, 36730}, {23659, 66690}, {24165, 62841}, {24789, 33073}, {24841, 64070}, {25269, 49445}, {26128, 32861}, {27549, 37681}, {30998, 70713}, {31034, 33148}, {31178, 63108}, {32771, 71184}, {32774, 33075}, {32843, 33143}, {32844, 33128}, {32850, 49681}, {32852, 33123}, {32923, 61358}, {32925, 70742}, {32932, 62834}, {32942, 70152}, {32946, 33147}, {33070, 33129}, {33144, 62998}, {33153, 63010}, {36671, 59387}, {36673, 68034}, {37555, 56288}, {37575, 69699}, {37592, 62803}, {37677, 69632}, {40328, 50293}, {40750, 70532}, {46901, 72202}, {48627, 50307}, {48810, 50088}, {49448, 49464}, {49450, 49465}, {49459, 49473}, {49469, 71414}, {49474, 49482}, {49486, 68969}, {49489, 49490}, {49497, 49675}, {49498, 49685}, {49524, 69557}, {49525, 71638}, {49532, 71521}, {49534, 49693}, {49679, 71327}, {49746, 50112}, {50074, 50285}, {50077, 51003}, {50098, 51006}, {50120, 51054}, {50124, 51055}, {50127, 51056}, {50128, 51005}, {50178, 50215}, {54981, 70857}, {55970, 56124}, {59477, 72220}, {61155, 64161}, {61344, 70422}, {62235, 71916}, {62796, 72203}, {62814, 71936}, {62838, 69539}, {62855, 71979}, {62865, 71925}, {63099, 69210}, {63600, 66649}, {63975, 64695}, {69568, 71583}, {70451, 70933}, {70489, 71975}

X(72348) = reflection of X(i) in X(j) for these {i,j}: {3790, 17353}, {4429, 17366}, {17233, 72219}, {17350, 16468}, {17353, 4989}, {17373, 33087}
X(72348) = isotomic conjugate of X(56124)
X(72348) = anticomplement of X(29674)
X(72348) = anticomplement of the isotomic conjugate of X(55970)
X(72348) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {55970, 6327}, {62468, 21301}, {62469, 21304}
X(72348) = X(55970)-Ceva conjugate of X(2)
X(72348) = X(i)-isoconjugate of X(j) for these (i,j): {6, 56165}, {31, 56124}
X(72348) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 56124}, {9, 56165}
X(72348) = crosspoint of X(1016) and X(62468)
X(72348) = crossdifference of every pair of points on line {649, 23656}
X(72348) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 56165}, {2, 56124}
X(72348) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 8, 36534}, {1, 239, 8}, {1, 978, 3009}, {1, 1125, 29570}, {1, 3216, 56800}, {1, 4384, 16830}, {1, 16823, 3616}, {1, 16825, 2}, {1, 24331, 3622}, {1, 49477, 4393}, {1, 49488, 145}, {1, 50016, 49458}, {6, 32922, 24349}, {8, 5550, 29611}, {10, 29646, 2}, {31, 32924, 3210}, {44, 49463, 49447}, {75, 1386, 70419}, {192, 238, 71524}, {238, 32921, 192}, {239, 17367, 16816}, {748, 32928, 41839}, {982, 3791, 37683}, {984, 4974, 17349}, {1201, 68751, 1}, {1279, 4852, 49470}, {1738, 49684, 50289}, {1743, 49446, 62222}, {1757, 49455, 31302}, {2999, 7081, 59298}, {3187, 7191, 10453}, {3757, 5256, 59297}, {3875, 7290, 3685}, {3891, 32911, 32937}, {4000, 51192, 4645}, {4359, 62807, 70484}, {4361, 38315, 5263}, {4362, 29821, 2}, {4383, 32926, 27538}, {4384, 16830, 9780}, {4974, 49472, 984}, {14459, 29836, 71939}, {15523, 29852, 2}, {16477, 32935, 71635}, {16815, 39586, 19877}, {17017, 32914, 2}, {17160, 71873, 5695}, {17367, 50017, 8}, {24231, 51196, 17364}, {29636, 69252, 2}, {29654, 32778, 2}, {29658, 71085, 2}, {31302, 63050, 1757}, {49458, 50016, 3621}, {49464, 71921, 49448}, {49477, 50023, 1}, {50120, 71864, 51054}

X(72349) = X(1)X(2)∩X(31)X(192)

X(72349) lies on these lines: {1, 2}, {6, 32926}, {31, 192}, {38, 37683}, {55, 4360}, {75, 3745}, {81, 3891}, {82, 44115}, {100, 4734}, {171, 3210}, {194, 20985}, {199, 23853}, {210, 3759}, {238, 41839}, {312, 1386}, {321, 62807}, {726, 62841}, {727, 835}, {740, 17716}, {750, 17490}, {752, 33154}, {756, 17349}, {894, 62845}, {940, 32922}, {962, 39549}, {968, 17319}, {982, 37684}, {984, 3791}, {985, 39694}, {1001, 34064}, {1278, 4418}, {1310, 9082}, {1453, 56311}, {1621, 37316}, {1918, 20170}, {2209, 20168}, {2308, 17350}, {3052, 17318}, {3175, 4676}, {3242, 71935}, {3295, 37327}, {3416, 19786}, {3474, 50101}, {3550, 4970}, {3618, 3974}, {3666, 3769}, {3672, 63140}, {3683, 4664}, {3685, 62834}, {3715, 68966}, {3729, 62842}, {3744, 49470}, {3750, 50281}, {3755, 63139}, {3772, 33073}, {3790, 5294}, {3875, 5269}, {3914, 50289}, {3952, 63074}, {3969, 72213}, {3971, 16468}, {3989, 72202}, {3993, 8616}, {3995, 17127}, {3996, 49486}, {4090, 4991}, {4195, 62847}, {4307, 30699}, {4310, 63057}, {4358, 70485}, {4359, 9347}, {4361, 71981}, {4365, 72201}, {4385, 69543}, {4387, 71873}, {4388, 51192}, {4392, 37639}, {4398, 11246}, {4417, 17602}, {4421, 41823}, {4427, 30652}, {4442, 72225}, {4463, 67978}, {4514, 49681}, {4579, 44104}, {4641, 49447}, {4645, 19785}, {4649, 32920}, {4682, 19804}, {4697, 49493}, {4851, 33124}, {4865, 33135}, {4884, 61661}, {5220, 71915}, {5695, 72016}, {5800, 20539}, {5846, 32773}, {5847, 27184}, {5880, 19796}, {6057, 17354}, {6327, 33155}, {6679, 33092}, {7226, 16704}, {7262, 49456}, {13588, 21010}, {14594, 52424}, {14829, 17599}, {14996, 17140}, {16466, 19582}, {16469, 30568}, {16475, 27064}, {16478, 17697}, {17061, 18134}, {17122, 24620}, {17126, 17147}, {17160, 72019}, {17165, 37685}, {17232, 33123}, {17236, 33080}, {17289, 69089}, {17301, 33068}, {17302, 26034}, {17373, 33081}, {17375, 33069}, {17377, 69628}, {17379, 32771}, {17383, 32781}, {17393, 37593}, {17395, 44419}, {17449, 71919}, {17469, 32915}, {17591, 72207}, {17597, 71930}, {17600, 32916}, {17715, 49471}, {17720, 33071}, {17768, 62229}, {17769, 33169}, {17772, 33084}, {17778, 33144}, {18147, 70712}, {20064, 33100}, {20101, 24248}, {20292, 50102}, {21345, 41269}, {21747, 25269}, {21793, 70696}, {21840, 70465}, {21870, 72075}, {24165, 37604}, {24210, 49684}, {24390, 50325}, {24552, 62855}, {24703, 47356}, {24723, 50068}, {26083, 69296}, {26098, 37759}, {26128, 32846}, {26150, 33172}, {26222, 32927}, {27538, 32911}, {27804, 61155}, {28605, 70482}, {28606, 71476}, {30962, 71828}, {31034, 33153}, {31161, 63108}, {31302, 32912}, {32774, 33078}, {32775, 32852}, {32865, 50288}, {32913, 49455}, {32923, 62821}, {32931, 71184}, {32938, 71635}, {32939, 49453}, {32940, 62846}, {32942, 38315}, {32946, 33152}, {32949, 33143}, {33066, 67964}, {33070, 33133}, {33072, 33128}, {33148, 63056}, {33295, 56239}, {33761, 72203}, {35631, 36697}, {37522, 43993}, {40753, 42027}, {44447, 50071}, {46901, 72199}, {49446, 62812}, {49448, 71925}, {49464, 62865}, {49469, 71918}, {49474, 72204}, {49532, 71518}, {50120, 71907}, {50133, 71798}, {51054, 71912}, {52394, 56124}, {62235, 71914}, {62814, 71933}, {64010, 72017}, {64429, 69840}, {71320, 72216}

X(72349) = reflection of X(32778) in X(29645)
X(72349) = anticomplement of X(32778)
X(72349) = anticomplement of the isotomic conjugate of X(56065)
X(72349) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {29018, 513}, {56065, 6327}, {62464, 21301}, {62465, 21304}
X(72349) = X(56065)-Ceva conjugate of X(2)
X(72349) = crosspoint of X(1016) and X(62464)
X(72349) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 1999, 10453}, {1, 4362, 2}, {2, 145, 33088}, {6, 32926, 32937}, {31, 32928, 192}, {75, 3745, 70484}, {81, 3891, 24349}, {171, 32921, 3210}, {239, 612, 59296}, {312, 1386, 70481}, {321, 62807, 70419}, {750, 32924, 17490}, {984, 3791, 37652}, {1961, 16825, 2}, {2308, 32925, 17350}, {3187, 3920, 8}, {3666, 3769, 71477}, {3875, 5269, 32932}, {3961, 49488, 20012}, {3971, 16468, 70742}, {3995, 17127, 71524}, {5311, 32914, 2}, {6542, 29838, 33171}, {15523, 29636, 2}, {16478, 63800, 17697}, {17011, 26227, 59297}, {17017, 17763, 2}, {17135, 29815, 36534}, {29645, 32778, 2}, {29649, 29821, 2}, {29654, 29674, 2}, {29658, 29671, 2}, {29683, 29849, 2}, {29687, 29852, 2}, {29816, 50756, 31330}, {29847, 69252, 2}, {33144, 50284, 17778}, {40940, 49476, 29641}, {49464, 71922, 62865}

X(72350) = X(2)X(32028)∩X(7)X(24281)

X(72350) lies on these lines: {2, 32028}, {7, 24281}, {11, 23815}, {32, 7195}, {115, 1111}, {244, 48151}, {320, 71056}, {334, 35126}, {514, 1086}, {545, 32094}, {626, 72114}, {903, 6631}, {1015, 1358}, {1016, 4440}, {1506, 3665}, {2087, 68924}, {3120, 48393}, {3125, 23755}, {3662, 36230}, {3663, 36226}, {3834, 71022}, {4014, 6004}, {4089, 27918}, {4370, 36954}, {4395, 70835}, {4409, 53582}, {4422, 32106}, {4542, 57035}, {4555, 54102}, {6372, 38989}, {6550, 7336}, {6630, 54974}, {7216, 53538}, {7232, 50024}, {7263, 57038}, {7321, 66151}, {7794, 30149}, {7829, 39724}, {7927, 53559}, {8649, 43057}, {14991, 16592}, {17205, 35076}, {17302, 70859}, {20568, 31129}, {23989, 40495}, {24131, 33920}, {24232, 24720}, {30117, 68732}, {34578, 35113}, {35093, 56783}, {35957, 48627}, {36234, 50128}, {36525, 66540}, {49758, 68743}, {52626, 71106}, {63574, 69224}, {69009, 71112}

X(72350) = midpoint of X(i) and X(j) for these {i,j}: {1016, 4440}, {4555, 54102}, {6549, 31647}
X(72350) = reflection of X(i) in X(j) for these {i,j}: {1086, 31647}, {6547, 1086}, {32106, 4422}, {35092, 6547}, {70835, 4395}, {71022, 3834}
X(72350) = complement of X(32028)
X(72350) = X(i)-complementary conjugate of X(j) for these (i,j): {3248, 40468}, {36954, 21260}
X(72350) = X(i)-Ceva conjugate of X(j) for these (i,j): {1086, 6545}, {1111, 69376}, {1358, 764}, {6549, 6550}, {57564, 6548}
X(72350) = X(i)-isoconjugate of X(j) for these (i,j): {100, 59149}, {101, 57731}, {692, 6632}, {765, 1252}, {1016, 1110}, {1023, 6551}, {1101, 61402}, {2149, 4076}, {2251, 42372}, {3939, 31615}, {4564, 6065}, {4578, 4619}, {6066, 67038}, {7035, 23990}, {9268, 69823}, {32739, 57950}, {65363, 69889}
X(72350) = X(i)-Dao conjugate of X(j) for these (i,j): {513, 1252}, {514, 1016}, {523, 61402}, {650, 4076}, {661, 765}, {1015, 57731}, {1086, 6632}, {4521, 44724}, {6544, 69824}, {6550, 35092}, {8054, 59149}, {9460, 42372}, {10196, 4473}, {40617, 31615}, {40619, 57950}, {64440, 346}, {69843, 4567}
X(72350) = crosspoint of X(i) and X(j) for these (i,j): {514, 40509}, {1086, 6545}, {6548, 57564}, {8042, 53538}
X(72350) = crosssum of X(1252) and X(59149)
X(72350) = crossdifference of every pair of points on line {23344, 59149}
X(72350) = barycentric product X(i)*X(j) for these {i,j}: {7, 7336}, {11, 1358}, {115, 61403}, {244, 1111}, {269, 1090}, {279, 64445}, {334, 24193}, {479, 5532}, {514, 6545}, {649, 23100}, {693, 764}, {903, 24188}, {1015, 23989}, {1086, 1086}, {1357, 34387}, {1565, 2969}, {1577, 8042}, {1647, 6549}, {2973, 3937}, {3120, 17205}, {3125, 16727}, {3261, 21143}, {3669, 40166}, {3676, 21132}, {4081, 41292}, {4858, 53538}, {6548, 6550}, {7192, 69376}, {7216, 40213}, {8027, 40495}, {8034, 52619}, {16726, 16732}, {17096, 55195}, {17197, 53545}, {42455, 43932}, {42462, 58817}, {43921, 62429}, {43930, 52305}
X(72350) = barycentric quotient X(i)/X(j) for these {i,j}: {11, 4076}, {115, 61402}, {244, 765}, {513, 57731}, {514, 6632}, {649, 59149}, {693, 57950}, {764, 100}, {876, 65363}, {903, 42372}, {1015, 1252}, {1086, 1016}, {1090, 341}, {1111, 7035}, {1357, 59}, {1358, 4998}, {1365, 65958}, {1647, 69824}, {1977, 23990}, {2087, 69823}, {2969, 15742}, {3248, 1110}, {3249, 32739}, {3271, 6065}, {3669, 31615}, {3756, 44724}, {5532, 5423}, {6545, 190}, {6548, 6635}, {6549, 62536}, {6550, 17780}, {7336, 8}, {8027, 692}, {8034, 4557}, {8042, 662}, {8661, 23344}, {14442, 53582}, {16726, 4567}, {16727, 4601}, {17096, 55194}, {17205, 4600}, {21131, 4103}, {21132, 3699}, {21143, 101}, {23100, 1978}, {23345, 6551}, {23764, 43290}, {23989, 31625}, {24188, 519}, {24193, 238}, {40166, 646}, {40213, 7258}, {41292, 59457}, {42462, 6558}, {43921, 5377}, {43922, 9268}, {52336, 4542}, {52337, 4152}, {52338, 30731}, {53538, 4564}, {53540, 65573}, {55195, 30730}, {56283, 7256}, {61403, 4590}, {64445, 346}, {69376, 3952}, {71108, 1023}
X(72350) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {903, 66543, 35121}, {4089, 27918, 70371}

X(72351) = X(1)X(16393)∩X(2)X(18201)

X(72351) lies on these lines: {1, 16393}, {2, 18201}, {7, 25760}, {8, 54352}, {10, 62235}, {11, 7228}, {38, 16830}, {57, 29828}, {75, 32919}, {81, 24165}, {86, 46901}, {100, 49479}, {142, 33115}, {171, 17140}, {190, 30950}, {192, 9345}, {244, 894}, {320, 69252}, {321, 70219}, {354, 4418}, {537, 5297}, {553, 33067}, {596, 37559}, {726, 37633}, {750, 24349}, {896, 16823}, {940, 17155}, {942, 54331}, {982, 32772}, {984, 26627}, {1054, 46897}, {1086, 29631}, {1125, 26729}, {1203, 64431}, {1215, 27003}, {1757, 24589}, {2094, 39581}, {2887, 26842}, {3120, 7321}, {3210, 62821}, {3218, 24325}, {3306, 32931}, {3315, 49482}, {3685, 17450}, {3689, 72092}, {3720, 32936}, {3742, 32930}, {3782, 29845}, {3836, 33170}, {3840, 65112}, {3846, 17483}, {3873, 3980}, {3891, 37604}, {3920, 42055}, {3923, 64149}, {3935, 49491}, {3937, 17049}, {4003, 4670}, {4038, 17147}, {4090, 9342}, {4359, 32864}, {4361, 71924}, {4363, 4860}, {4365, 71930}, {4392, 50302}, {4427, 16484}, {4438, 27186}, {4649, 17495}, {4663, 72070}, {4672, 7292}, {4675, 29643}, {4697, 7191}, {4849, 72098}, {4871, 41242}, {5205, 31161}, {5241, 5852}, {5249, 33119}, {5263, 17449}, {5563, 69903}, {5695, 72163}, {5880, 33120}, {5905, 25960}, {6173, 29857}, {8025, 17600}, {8033, 71447}, {8720, 64415}, {9335, 70942}, {9347, 49455}, {9352, 29670}, {9776, 25961}, {11246, 32947}, {11269, 42697}, {13243, 45305}, {14996, 32921}, {16477, 68958}, {16825, 62795}, {17021, 49456}, {17063, 26223}, {17122, 17165}, {17124, 32937}, {17125, 17350}, {17146, 49675}, {17234, 33161}, {17300, 32848}, {17347, 72012}, {17354, 72005}, {17365, 32843}, {17490, 61358}, {17591, 19684}, {17593, 29822}, {17597, 72201}, {17598, 70482}, {17754, 31005}, {17763, 37520}, {17771, 37656}, {17779, 70992}, {18139, 33167}, {19804, 32912}, {20132, 31348}, {20292, 29655}, {21454, 26034}, {23958, 32916}, {24231, 32775}, {24331, 62838}, {24342, 46909}, {24436, 26261}, {24594, 62711}, {24602, 31317}, {24715, 29835}, {24725, 50128}, {25501, 33761}, {25557, 29632}, {26102, 32933}, {26227, 31178}, {26229, 30800}, {26250, 31115}, {26838, 26969}, {26840, 69294}, {29635, 33146}, {29639, 50116}, {29640, 51583}, {29685, 33068}, {29814, 32934}, {29818, 72016}, {29829, 33149}, {29832, 50301}, {29837, 33145}, {29843, 33094}, {29844, 72225}, {29850, 40688}, {29851, 44416}, {30579, 60690}, {30767, 31071}, {30980, 53564}, {31079, 31151}, {31136, 68999}, {32779, 49676}, {32780, 69251}, {32844, 50307}, {32855, 63056}, {32860, 49495}, {32911, 71518}, {32925, 37674}, {32932, 62867}, {32949, 69091}, {33071, 64164}, {33072, 50743}, {33097, 69134}, {33121, 69253}, {33128, 48627}, {33153, 58443}, {35596, 50297}, {36480, 62868}, {37680, 71521}, {37687, 71515}, {41711, 71917}, {42057, 64010}, {42871, 71451}, {46904, 62300}, {46918, 50315}, {48863, 71568}, {49448, 71983}, {49474, 71933}, {49498, 71927}, {49535, 62236}, {50756, 71913}, {51055, 67207}, {58583, 71423}, {62814, 72204}, {62863, 71918}, {62865, 71979}, {64070, 72161}, {66151, 71792}, {67210, 72019}, {69296, 72009}

X(72351) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 32940, 32938}, {57, 32771, 32918}, {81, 24165, 32924}, {171, 17140, 32923}, {244, 894, 32944}, {354, 4418, 32943}, {750, 24349, 32927}, {940, 17155, 32928}, {3218, 24325, 32917}, {3720, 32939, 32936}, {3873, 3980, 32945}, {4359, 32913, 32864}, {4363, 4860, 30942}, {4697, 42053, 7191}, {9776, 33163, 25961}, {37520, 49483, 17763}

X(72352) = BARYCENTRIC SQUARE OF X(4370)

X(72352) lies on these lines: {44, 519}, {190, 9460}, {545, 32094}, {1016, 62413}, {4752, 39148}, {6544, 33905}, {6633, 36522}, {17487, 54974}, {24281, 66452}, {35113, 36909}

X(72352) = midpoint of X(17487) and X(54974)
X(72352) = X(i)-Ceva conjugate of X(j) for these (i,j): {4370, 8028}, {53582, 33922}, {57564, 17780}
X(72352) = X(i)-isoconjugate of X(j) for these (i,j): {88, 59150}, {679, 2226}, {1022, 39414}, {41935, 57929}
X(72352) = X(i)-Dao conjugate of X(j) for these (i,j): {519, 54974}, {33922, 35092}
X(72352) = crosspoint of X(i) and X(j) for these (i,j): {4370, 8028}, {17780, 57564}
X(72352) = crosssum of X(2226) and X(59150)
X(72352) = crossdifference of every pair of points on line {23345, 59150}
X(72352) = barycentric product X(i)*X(j) for these {i,j}: {519, 8028}, {678, 4738}, {902, 58254}, {1017, 36791}, {1317, 4152}, {3251, 68107}, {4370, 4370}, {4543, 66979}, {6544, 53582}, {7035, 14835}, {16729, 21821}, {17780, 33922}, {22371, 65585}, {42070, 65742}
X(72352) = barycentric quotient X(i)/X(j) for these {i,j}: {678, 679}, {902, 59150}, {1017, 2226}, {4370, 54974}, {4738, 57929}, {8028, 903}, {14835, 244}, {21821, 30575}, {23344, 39414}, {33922, 6548}, {58254, 57995}

   Points associated with equilateral limit curves: X(72353) - X(72391)  

Many points, as functions of the sidelengths a,b,c of a triangle ABC with angles (and vertices) A,B,C have X(2) as a limiting point as A, B, C all approach π/3, or equivalently, as the sidelengths a,b,c all approach a common value. However, if a point P is a triangle center with first barycentric that approaches 0 as a,b,c approach a common value, it is possible that the limiting positions of P form a curve that we call an equilateral limit curve, the ELC of P. We allow this term to include the case that the limiting locus is, as a degenerate case, X(2). The ELC of X(1), X(2),...,X(10) is G, but the ELC of X(11) is the incircle, the ELC of X(14) is the circumcircle, and the ELC of X(59) is a deltoid.

Points X(72353)-X(72391) are triangle centers of the form

P(k) = a^2 + b^2 + c^2 - b c - c a - a b + k (b - c)^2 : : ,

where k is a real number. The ELC of P(k) is the circle

(1 + k)*(3 + k)*(x + y + z)^2 - (3 + 2*k)^2*(x*y + x*z + y*z) == 0, which has center X(2) and radius k/(2k+3).

Points in ETC before April 22, 2026 that have the form P(k) are represented by the following table, which lists each such point along with the associated value of k:

For a figures and equations involving noncircular ELCs, see Catalogue of points in ETC that have noncircular ELCs.

Execute({
"eps = Slider(0.0001, 0.005, 0.0001, 1, 150, false, true, false, false)",
"th = Slider(-pi, pi, 0.01, 1, 250, true, true, true, false)",
"B = (-sqrt(3)/2, -1/2)",
"C = ( sqrt(3)/2, -1/2)","A = (eps cos(th), 1 + eps sin(th))",
"D = (0, 1)",
"ShowLabel(D, false)",
"a = Distance(B, C)",
"b = Distance(C, A)",
"c = Distance(A, B)",
"BC = Segment(B,C)",
"CA = Segment(C,D)",
"AB = Segment(D,B)",
"ShowLabel(BC, false)",
"ShowLabel(CA, false)",
"ShowLabel(AB, false)",
"P = Barycenter({A,B,C},{a^2*(a - b)^2*(a - c)^2*(a + b - c)*(a - b + c),
b^2*(-a + b)^2*(b - c)^2*(a + b - c)*(-a + b + c),
c^2*(-a + c)^2*(-b + c)^2*(a - b + c)*(-a + b + c)})",
"ShowLabel(P, false)",
"O = (0,0)",
"circ = Circle(O,1)",
"viewSize = Corner(5)",
"aspect = x(viewSize) / y(viewSize)",
"ZoomIn(-2*aspect, -2, 2*aspect, 2)",
"SetAxesRatio(1, 1)",
"SetTrace(P, true)",
"SetPointSize(P, 4)",
"SetColor(P, 255, 0, 0)",
"SetLineStyle(circ, 2)",
"StartAnimation(th, true)"})
}

Of course, if P in the script is of high degree, then as the triangle tends to equilateral, it may be necessary, in the first line of the script, to increase "eps"; e.g., from 0.0001 to 0.002.

X(72353) = X(2)X(45)∩X(537)X(51066)

X(72353) lies on these lines: {2, 45}, {537, 51066}, {673, 60963}, {2796, 51109}, {3830, 24813}, {4677, 24841}, {4745, 53601}, {5845, 63022}, {6545, 62623}, {6549, 35168}, {7238, 40891}, {8703, 24833}, {9041, 50990}, {9055, 50993}, {9460, 66543}, {15533, 32029}, {17133, 17297}, {17160, 31138}, {17231, 39710}, {17237, 55955}, {17271, 28634}, {17274, 17328}, {17286, 48629}, {17346, 62403}, {17347, 63590}, {19708, 29243}, {24715, 51071}, {24817, 61822}, {24827, 62040}, {24828, 61932}, {24830, 56371}, {24844, 61901}, {31647, 66540}, {32921, 51093}, {43997, 51110}, {50101, 63576}, {51103, 63977}, {51105, 64908}, {61621, 61890}

X(72353) = midpoint of X(903) and X(27191)
X(72353) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 36525, 903}, {903, 41138, 4440}, {1086, 36525, 2}

X(72354) = X(2)X(45)∩X(335)X(4821)

X(72354) lies on these lines: {2, 45}, {335, 4821}, {2796, 46934}, {3146, 24827}, {3522, 24833}, {3617, 53601}, {3623, 24715}, {4862, 29628}, {4887, 29590}, {5845, 63122}, {5936, 17236}, {6548, 42555}, {6650, 30712}, {7486, 24844}, {16816, 62403}, {17272, 48627}, {17316, 63576}, {17578, 24813}, {20042, 24131}, {20052, 24841}, {21734, 29243}, {24599, 63590}, {24817, 61820}, {24821, 46932}, {24828, 69404}, {29626, 63589}, {39349, 72350}, {39707, 72276}, {46935, 61621}

X(72354) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {903, 4422, 4440}, {1086, 36525, 190}

X(72355) = X(2)X(45)∩X(528)X(33812)

X(72355) lies on these lines: {2, 45}, {528, 33812}, {537, 4739}, {900, 45668}, {2796, 35022}, {3631, 9041}, {3636, 64908}, {3679, 7263}, {3828, 17235}, {4675, 66457}, {4971, 31138}, {5845, 20583}, {7232, 31145}, {7238, 49770}, {15688, 24833}, {17313, 63576}, {24813, 62017}, {24827, 62039}, {24828, 61933}, {28297, 41141}, {28309, 49765}, {28333, 41140}, {29243, 34200}, {31647, 66543}, {37654, 63590}, {38098, 53601}

X(72355) = midpoint of X(i) and X(j) for these {i,j}: {1086, 36525}, {4440, 36522}

X(72356) = X(2)X(45)∩X(7)X(63052)

X(72356) lies on these lines: {2, 45}, {7, 63052}, {192, 63576}, {320, 40891}, {335, 4740}, {376, 24833}, {514, 62413}, {519, 4645}, {528, 11038}, {537, 53620}, {547, 24844}, {549, 24817}, {673, 60984}, {1266, 17310}, {1654, 17274}, {2161, 23958}, {2786, 41135}, {2796, 25055}, {3241, 24715}, {3543, 24813}, {3679, 53601}, {3828, 24821}, {4373, 17232}, {4398, 17313}, {4555, 66543}, {4688, 33888}, {4699, 31349}, {4715, 37756}, {4862, 17333}, {4887, 20072}, {5032, 5845}, {6173, 20533}, {6542, 31138}, {6549, 39349}, {6630, 54974}, {6646, 66451}, {6650, 17301}, {7232, 50088}, {7238, 20016}, {7263, 17271}, {7321, 17382}, {9055, 21356}, {10304, 29243}, {10385, 24837}, {11050, 24830}, {11160, 32029}, {15682, 24827}, {15703, 61621}, {17236, 43985}, {17281, 48629}, {17288, 50099}, {17297, 28309}, {17300, 50101}, {17302, 50116}, {17320, 26806}, {17349, 66701}, {17488, 62403}, {20090, 50112}, {24452, 50285}, {24814, 62975}, {24828, 61936}, {24841, 31145}, {29583, 66456}, {31313, 43287}, {31332, 49738}, {36237, 45310}, {38314, 50293}, {39707, 72270}, {46458, 53372}, {50074, 63590}, {50090, 63589}, {50119, 52157}

X(72356) = reflection of X(54974) in X(72350)
X(72356) = anticomplement of X(41138)
X(72356) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 903, 4440}, {2, 4440, 17487}, {2, 17487, 4473}, {903, 1086, 2}, {1086, 36525, 903}, {4370, 27191, 2}, {4389, 31139, 2}, {10022, 17305, 2}, {24183, 31171, 2}, {37691, 41802, 2}, {39104, 39106, 36525}

X(72357) = X(2)X(45)∩X(69)X(63590)

X(72357) lies on these lines: {2, 45}, {69, 63590}, {320, 49770}, {335, 4686}, {382, 24813}, {528, 20057}, {550, 24833}, {673, 39707}, {1266, 17297}, {2796, 15808}, {3244, 24715}, {3528, 29243}, {3544, 24828}, {3626, 53601}, {3632, 24841}, {3759, 4902}, {4373, 17233}, {4398, 17316}, {4643, 48627}, {4747, 17380}, {4862, 17277}, {4887, 37756}, {4912, 29607}, {5845, 62995}, {6631, 31647}, {6650, 63401}, {7232, 20055}, {7263, 17273}, {7321, 17023}, {14829, 63584}, {17160, 17374}, {17234, 63576}, {17235, 29610}, {17258, 31211}, {17276, 29628}, {17284, 48629}, {17285, 48631}, {17347, 24599}, {17393, 61020}, {24129, 62623}, {24692, 28512}, {24814, 62977}, {24817, 61814}, {24820, 61152}, {24844, 61905}, {30823, 62300}, {32029, 40341}, {36606, 37681}, {36807, 39709}, {54280, 62403}

X(72357) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {903, 1086, 190}, {903, 27191, 4440}, {903, 62424, 1086}, {1086, 4440, 27191}, {4440, 27191, 190}, {17487, 52885, 190}

X(72358) = X(2)X(45)∩X(7)X(4393)

X(72358) lies on these lines: {2, 45}, {7, 4393}, {8, 53601}, {20, 24833}, {75, 51353}, {86, 31334}, {145, 24715}, {192, 29589}, {239, 4887}, {244, 4947}, {320, 4725}, {335, 1278}, {390, 24837}, {527, 29590}, {528, 3623}, {537, 3617}, {673, 20059}, {1266, 6542}, {1654, 7263}, {2796, 3616}, {3090, 24844}, {3146, 24813}, {3522, 29243}, {3523, 24817}, {3543, 24827}, {3600, 24836}, {3620, 4821}, {3621, 24841}, {3662, 4659}, {3663, 16826}, {3729, 29629}, {3759, 39707}, {4000, 31300}, {4357, 41844}, {4384, 4862}, {4395, 63049}, {4398, 17300}, {4432, 46934}, {4452, 6653}, {4480, 29607}, {4555, 54102}, {4645, 17769}, {4670, 7321}, {4699, 4748}, {4704, 62778}, {4767, 26073}, {4772, 33888}, {4781, 33148}, {4788, 4869}, {4896, 29584}, {4902, 17364}, {5067, 61621}, {5068, 24828}, {5261, 24816}, {5274, 24840}, {5845, 51170}, {6173, 29569}, {6545, 42555}, {6633, 31647}, {6636, 24822}, {7222, 17383}, {7228, 63053}, {7238, 17160}, {7378, 24814}, {7613, 31302}, {9041, 20052}, {9780, 24821}, {16099, 31292}, {16560, 23958}, {17014, 52714}, {17058, 31057}, {17116, 29604}, {17121, 60962}, {17132, 17266}, {17235, 28604}, {17236, 31995}, {17261, 63589}, {17273, 64712}, {17276, 17335}, {17280, 48629}, {17288, 53594}, {17292, 50119}, {17298, 29618}, {17319, 60980}, {17343, 45789}, {17391, 61020}, {17780, 24131}, {20072, 37756}, {20080, 32029}, {20095, 57021}, {24231, 62392}, {24593, 37759}, {24692, 50015}, {24803, 63581}, {24818, 63035}, {24819, 63023}, {24830, 45289}, {25351, 46933}, {28322, 31243}, {28508, 32857}, {29585, 59375}, {29586, 50116}, {29588, 50101}, {29591, 50092}, {29592, 36834}, {29593, 52709}, {29599, 59374}, {29626, 50090}, {29627, 53600}, {30712, 31313}, {32028, 40488}, {36237, 66063}, {44006, 46458}, {62223, 63052}, {62989, 64015}

X(72358) = midpoint of X(4440) and X(4473)
X(72358) = reflection of X(i) in X(j) for these {i,j}: {4473, 27191}, {27191, 1086}
X(72358) = anticomplement of X(4473)
X(72358) = X(6631)-Ceva conjugate of X(6545)
X(72358) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 62424, 1086}, {903, 1086, 4440}, {903, 62424, 190}, {1086, 4409, 40480}, {1086, 4440, 2}, {3662, 4659, 29587}, {4409, 40480, 190}, {4473, 27191, 2}, {4862, 48627, 6646}, {26136, 43055, 2}

X(72359) = X(2)X(45)∩X(519)X(72350)

X(72359) lies on these lines: {2, 45}, {519, 72350}, {528, 59372}, {537, 38098}, {599, 36588}, {3629, 39707}, {4356, 64908}, {4373, 50087}, {4862, 17330}, {4887, 4969}, {4902, 50131}, {7263, 17328}, {9460, 54102}, {11737, 24828}, {15681, 24833}, {15688, 29243}, {17274, 28634}, {24715, 34747}, {24813, 62042}, {24817, 61809}, {24827, 62022}, {26806, 31332}, {31138, 49765}, {34641, 53601}, {36606, 63086}, {48627, 66451}, {52714, 62212}, {63576, 66452}

X(72359) = midpoint of X(i) and X(j) for these {i,j}: {4440, 41138}, {9460, 54102}
X(72359) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {903, 36525, 1086}, {4422, 62424, 1086}

X(72360) = X(2)X(45)∩X(320)X(28337)

X(72360) lies on these lines: {2, 45}, {320, 28337}, {335, 4764}, {524, 4887}, {528, 3635}, {537, 4691}, {548, 29243}, {673, 60976}, {900, 69331}, {1266, 4971}, {1657, 24833}, {3625, 9041}, {3627, 24827}, {3631, 53594}, {3633, 24715}, {3663, 28639}, {3834, 28297}, {3946, 4796}, {4373, 7232}, {4395, 28333}, {4398, 17390}, {4643, 4862}, {4726, 9055}, {4912, 17067}, {5072, 24828}, {5845, 32455}, {5846, 24692}, {7228, 17023}, {7231, 17304}, {7321, 17045}, {17262, 63576}, {17274, 64712}, {17284, 48631}, {17332, 48627}, {17334, 29628}, {17364, 39707}, {20053, 24841}, {24813, 33703}, {24817, 61807}, {24844, 61911}, {28322, 62398}, {28530, 49768}, {50112, 62223}, {52714, 63054}

X(723650) = midpoint of X(i) and X(j) for these {i,j}: {903, 36525}, {1266, 7238}, {4422, 4440}
X(723650) = reflection of X(40480) in X(1086)
X(723650) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 62424, 1086}, {1086, 4409, 2}, {1086, 4440, 4422}, {4389, 49733, 25358}, {42697, 49741, 4472}

X(72361) = X(2)X(45)∩X(193)X(36606)

X(72361) lies on these lines: {2, 45}, {193, 36606}, {335, 39709}, {1654, 4862}, {3529, 24833}, {3530, 24817}, {3631, 39710}, {3632, 53601}, {4398, 29588}, {4739, 33888}, {4887, 49770}, {5845, 63026}, {6549, 54102}, {6650, 39707}, {7321, 29586}, {17232, 63590}, {20050, 24715}, {20054, 24841}, {20533, 29625}, {24813, 49135}, {24827, 62017}, {24844, 35018}, {29243, 62097}, {31995, 43985}, {61621, 61892}

X(72361) = {X(1086),X(4440)}-harmonic conjugate of X(4473)

X(72362) = X(2)X(45)∩X(594)X(4862)

X(72362) lies on these lines: {2, 45}, {594, 4862}, {1266, 4725}, {3853, 24827}, {4373, 17362}, {4887, 17133}, {4902, 17388}, {5073, 24833}, {7263, 17331}, {12811, 24828}, {15696, 29243}, {17267, 63590}, {17274, 62225}, {17286, 48632}, {17314, 36606}, {17769, 24692}, {24813, 49138}, {24817, 61795}

X(72362) = midpoint of X(4440) and X(27191)
X(72362) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 36525, 1086}, {1086, 4409, 4370}

X(72363) = X(2)X(45)∩X(7)X(29588)

X(72363) lies on these lines: {2, 45}, {7, 29588}, {145, 53601}, {320, 28329}, {335, 4788}, {537, 4678}, {1266, 20016}, {2796, 3622}, {3146, 24833}, {3621, 24715}, {3661, 4862}, {3663, 29586}, {3672, 31313}, {4373, 6650}, {4398, 20090}, {4399, 39710}, {4402, 39709}, {4772, 68870}, {4821, 45789}, {4851, 39707}, {4887, 6542}, {4902, 29605}, {5056, 24844}, {5059, 24813}, {5222, 31300}, {5845, 63061}, {6653, 33800}, {7321, 28639}, {7409, 24814}, {7492, 24822}, {15717, 24817}, {17247, 31312}, {17273, 62225}, {17274, 51353}, {20014, 24841}, {24821, 46933}, {24827, 50687}, {24828, 69402}, {25269, 63576}, {28512, 32857}, {29243, 50693}, {29585, 52714}, {29591, 50119}, {29624, 41842}, {30833, 53600}, {31995, 41844}, {46936, 61621}

X(72363) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4409, 27191, 17487}, {4409, 36525, 27191}, {4440, 17487, 4409}

X(72364) = X(2)X(45)∩X(7)X(17318)

X(72364) lies on these lines: {2, 45}, {7, 17318}, {75, 64712}, {141, 4659}, {239, 28333}, {320, 4971}, {335, 3644}, {382, 24833}, {524, 1266}, {527, 4395}, {528, 3244}, {536, 4887}, {537, 3626}, {550, 29243}, {673, 39709}, {900, 4458}, {2325, 28322}, {2796, 3636}, {3008, 4912}, {3529, 24813}, {3629, 5845}, {3630, 17151}, {3631, 4686}, {3632, 9041}, {3663, 4670}, {3729, 48631}, {3834, 17132}, {3851, 24828}, {3912, 28297}, {4014, 9024}, {4312, 51147}, {4361, 4373}, {4384, 7263}, {4393, 4398}, {4399, 17345}, {4432, 15808}, {4445, 45789}, {4478, 4726}, {4644, 50112}, {4657, 7231}, {4665, 17274}, {4681, 29606}, {4702, 24231}, {4739, 68870}, {4741, 50098}, {4748, 17255}, {4753, 5852}, {4759, 17767}, {4781, 17724}, {4851, 4902}, {4852, 60962}, {4869, 36606}, {5079, 24844}, {5846, 32857}, {6154, 57021}, {6633, 72350}, {6650, 39710}, {7222, 17323}, {7227, 17235}, {7232, 29616}, {7321, 16826}, {10299, 24817}, {11008, 32029}, {15687, 24827}, {17160, 28337}, {17237, 50119}, {17251, 52709}, {17262, 29627}, {17265, 63576}, {17271, 62225}, {17273, 51353}, {17334, 17335}, {17340, 29629}, {17351, 31191}, {17366, 71635}, {17374, 28309}, {17395, 50128}, {17768, 50023}, {17771, 50021}, {20050, 24841}, {20057, 53534}, {21093, 66509}, {24692, 28503}, {24814, 52285}, {28556, 49676}, {29587, 48632}, {31300, 69557}, {31647, 53582}, {36588, 66454}, {36834, 41312}, {39704, 66457}, {50101, 62223}, {53543, 57023}, {53665, 63590}, {60963, 72261}, {61621, 61894}, {63584, 72001}, {65081, 66456}

X(72364) = midpoint of X(i) and X(j) for these {i,j}: {190, 4409}, {1086, 4440}
X(72364) = reflection of X(i) in X(j) for these {i,j}: {190, 40480}, {4422, 1086}, {7238, 4887}, {36525, 903}
X(72364) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 1086, 40480}, {190, 4440, 4409}, {190, 40480, 4422}, {903, 4440, 1086}, {1086, 4370, 27191}, {1086, 4409, 190}, {3663, 7228, 17045}, {4346, 4363, 49741}, {4364, 42697, 49733}, {4389, 49727, 4472}, {4419, 34824, 49737}, {4422, 36525, 1086}, {4454, 17290, 49726}, {4726, 53598, 4478}, {7263, 17276, 17332}, {17345, 53594, 4399}, {42697, 49747, 4364}

X(72365) = X(2)X(45)∩X(320)X(17133)

X(72365) lies on these lines: {2, 45}, {320, 17133}, {335, 4718}, {537, 4668}, {673, 60977}, {1266, 50019}, {1657, 24813}, {3625, 24715}, {3627, 24833}, {3633, 24841}, {3635, 53601}, {3644, 4902}, {4360, 62223}, {4373, 17347}, {4398, 4644}, {4659, 48639}, {4665, 17273}, {4725, 17160}, {4862, 17227}, {4887, 17297}, {5845, 62996}, {6144, 32029}, {6549, 6631}, {7228, 29586}, {14478, 52626}, {17117, 39710}, {17266, 28322}, {17274, 62228}, {17276, 17331}, {17298, 39707}, {17538, 29243}, {17769, 32857}, {24199, 31311}, {24817, 61138}, {24827, 38335}, {24828, 61945}, {24844, 61919}, {28508, 32922}, {31333, 63589}, {32025, 62225}, {34024, 72350}

X(72365) = reflection of X(i) in X(j) for these {i,j}: {190, 27191}, {4473, 1086}
X(72365) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4440, 4409}, {903, 4440, 190}, {903, 41138, 36525}, {1086, 4473, 27191}, {4346, 49722, 17305}, {4409, 62424, 190}

X(72366) = X(2)X(45)∩X(7)X(50113)

X(72366) lies on these lines: {2, 45}, {7, 50113}, {320, 28309}, {528, 3243}, {537, 3696}, {594, 17274}, {900, 6545}, {1227, 4980}, {1266, 4715}, {2161, 3928}, {2796, 4353}, {3081, 24830}, {3241, 62223}, {3534, 29243}, {3679, 62225}, {3830, 24833}, {3943, 4887}, {4373, 37654}, {4398, 7277}, {4432, 51108}, {4437, 50991}, {4677, 24715}, {4795, 17395}, {4862, 17281}, {4908, 17132}, {5066, 24828}, {5845, 15534}, {6549, 35121}, {6633, 66543}, {6634, 57564}, {7228, 17320}, {7238, 17310}, {7263, 17333}, {7321, 49738}, {9041, 15533}, {9055, 22165}, {11001, 24813}, {12101, 24827}, {15698, 24817}, {17119, 36588}, {17242, 39707}, {17245, 50090}, {17246, 28639}, {17276, 17330}, {17342, 48631}, {17345, 50099}, {17365, 50101}, {17382, 69556}, {24844, 61920}, {28503, 32857}, {32029, 63064}, {49543, 64906}, {50082, 53594}, {50098, 66454}, {50108, 60962}, {50120, 60984}, {50131, 60933}, {50949, 51056}, {51071, 53534}, {61621, 61896}

X(72366) = midpoint of X(i) and X(j) for these {i,j}: {903, 4440}, {4370, 4409}
X(72366) = reflection of X(i) in X(j) for these {i,j}: {2, 36525}, {1086, 903}, {3943, 31138}, {4370, 1086}, {6633, 66543}, {17310, 7238}, {17487, 4422}, {31138, 4887}, {35121, 6549}
X(72366) = anticomplement of X(36522)
X(72366) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 903, 36525}, {2, 36525, 1086}, {1086, 4440, 4409}

X(72367) = X(2)X(45)∩X(192)X(62223)

X(72367) lies on these lines: {2, 45}, {192, 62223}, {239, 4912}, {320, 17132}, {335, 4681}, {527, 17160}, {528, 20050}, {537, 3632}, {546, 24833}, {550, 24813}, {673, 39710}, {900, 49301}, {1016, 6549}, {1266, 68966}, {1268, 4708}, {1654, 62225}, {2796, 3244}, {3528, 24817}, {3529, 29243}, {3626, 24715}, {3629, 32029}, {3636, 53601}, {3644, 29605}, {3661, 17273}, {3729, 17227}, {3851, 24844}, {3855, 24828}, {4360, 4644}, {4398, 5222}, {4407, 68999}, {4439, 32857}, {4480, 37756}, {4488, 17352}, {4659, 17271}, {4665, 6646}, {4686, 68870}, {4798, 17247}, {4862, 17283}, {4887, 17264}, {4902, 17241}, {5845, 11008}, {6542, 28297}, {7321, 29571}, {9041, 20054}, {9055, 40341}, {14269, 24827}, {17246, 29586}, {17256, 50119}, {17258, 24603}, {17262, 29572}, {17274, 48639}, {17297, 28322}, {17315, 60962}, {17336, 31183}, {17351, 29630}, {17365, 29588}, {17377, 20059}, {17387, 60963}, {17767, 32922}, {17768, 50015}, {20016, 28333}, {24814, 62976}, {28526, 68969}, {32105, 62996}, {34747, 64908}, {36807, 39707}, {50088, 64015}, {61621, 61900}

X(72367) = reflection of X(i) in X(j) for these {i,j}: {190, 4440}, {4440, 4409}
X(72367) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 903, 27191}, {190, 4440, 903}, {190, 27191, 41138}, {903, 27191, 62424}, {4422, 17487, 190}, {41138, 62424, 27191}

X(72368) = X(2)X(45)∩X(4)X(24844)

X(72368) lies on these lines: {2, 45}, {4, 24844}, {7, 25269}, {8, 2796}, {20, 24817}, {23, 24822}, {44, 28322}, {144, 1278}, {145, 537}, {149, 36237}, {192, 4644}, {193, 4788}, {239, 4480}, {320, 4912}, {335, 4704}, {390, 24840}, {391, 4821}, {527, 6542}, {528, 3621}, {536, 20016}, {673, 61006}, {726, 50015}, {812, 31298}, {894, 29586}, {900, 20058}, {1266, 29590}, {1647, 17777}, {1654, 4665}, {2786, 20094}, {3090, 61621}, {3091, 24833}, {3146, 29243}, {3522, 24813}, {3600, 24816}, {3616, 53601}, {3617, 24715}, {3622, 4432}, {3623, 24841}, {3644, 72270}, {3661, 3729}, {3663, 29630}, {3664, 29625}, {3799, 4014}, {3832, 24828}, {3839, 24827}, {4366, 37677}, {4398, 63051}, {4439, 4645}, {4452, 63050}, {4461, 6653}, {4488, 5222}, {4499, 14839}, {4643, 51353}, {4659, 17333}, {4708, 17258}, {4740, 54280}, {4741, 50107}, {4756, 26073}, {4772, 17755}, {4798, 30598}, {4862, 17339}, {4887, 17266}, {4896, 29575}, {5057, 60446}, {5261, 24836}, {5274, 24837}, {5698, 70454}, {5845, 20080}, {5936, 6650}, {6172, 16816}, {6546, 42555}, {6549, 32094}, {6995, 24814}, {7222, 27268}, {9041, 20014}, {14986, 24846}, {16560, 67335}, {16561, 23958}, {16815, 50119}, {16826, 50090}, {17116, 24603}, {17117, 60942}, {17154, 71875}, {17160, 28297}, {17227, 17276}, {17236, 53600}, {17242, 60933}, {17246, 63053}, {17247, 29603}, {17248, 41841}, {17254, 29591}, {17261, 26806}, {17262, 17300}, {17271, 61343}, {17274, 29587}, {17281, 48639}, {17292, 50118}, {17302, 17351}, {17312, 60962}, {17318, 63052}, {17332, 62225}, {17363, 60977}, {17364, 29605}, {17375, 20059}, {17740, 31056}, {17764, 49707}, {17794, 61183}, {18150, 72063}, {20055, 64015}, {20056, 44447}, {20105, 71888}, {21295, 64863}, {24280, 31302}, {24818, 63016}, {24819, 63015}, {25351, 46932}, {25728, 31183}, {25821, 66155}, {27493, 53526}, {27542, 68844}, {28301, 40891}, {28526, 49772}, {28542, 49712}, {28556, 71934}, {28582, 49704}, {29569, 50128}, {29570, 35578}, {29583, 60984}, {30833, 52157}, {31029, 32849}, {31145, 64908}, {32028, 35092}, {32029, 51170}, {32105, 32108}, {32857, 49769}, {35338, 72240}, {36222, 53338}, {41819, 63426}, {44006, 57035}, {50101, 71635}

X(72368) = reflection of X(i) in X(j) for these {i,j}: {2, 17487}, {4, 24844}, {8, 24821}, {20, 24817}, {149, 36237}, {239, 4480}, {1278, 33888}, {4409, 4422}, {4440, 190}, {20016, 20072}, {20059, 20533}, {41842, 3729}, {41844, 894}, {41845, 144}, {54102, 32028}, {62392, 62222}
X(72368) = anticomplement of X(4440)
X(72368) = anticomplement of the isotomic conjugate of X(6630)
X(72368) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {6164, 150}, {6630, 6327}, {9262, 149}, {9282, 69}, {42555, 21293}, {53682, 21297}
X(72368) = X(i)-Ceva conjugate of X(j) for these (i,j): {6630, 2}, {34024, 59755}
X(72368) = X(59755)-cross conjugate of X(34024)
X(72368) = X(59755)-Dao conjugate of X(45213)
X(72368) = barycentric product X(i)*X(j) for these {i,j}: {190, 59755}, {514, 34024}
X(72368) = barycentric quotient X(i)/X(j) for these {i,j}: {34024, 190}, {59755, 514}
X(72368) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {144, 1278, 62989}, {190, 903, 4422}, {190, 1086, 4473}, {190, 4440, 2}, {190, 27191, 4370}, {192, 4644, 29588}, {192, 31300, 20090}, {903, 4409, 4440}, {1086, 4473, 2}, {4409, 4422, 903}, {4422, 52885, 4473}, {4440, 4473, 1086}, {4440, 17487, 190}, {4454, 20073, 2}, {4644, 29588, 20090}, {29588, 31300, 4644}, {30566, 30577, 2}

X(72369) = X(2)X(45)∩X(6)X(4488)

X(72369) lies on these lines: {2, 45}, {6, 4488}, {37, 53543}, {44, 17132}, {144, 17362}, {192, 7277}, {239, 28297}, {382, 24844}, {527, 3943}, {528, 3632}, {536, 4480}, {537, 3244}, {546, 24827}, {594, 3729}, {673, 60983}, {900, 4088}, {1266, 28322}, {1757, 28556}, {2796, 3626}, {3528, 24813}, {3529, 24817}, {3629, 3644}, {3631, 4437}, {3636, 4432}, {3756, 24709}, {3851, 24833}, {3912, 4912}, {3932, 17767}, {3977, 30823}, {4014, 40521}, {4499, 9024}, {4644, 50113}, {4659, 17330}, {4665, 17333}, {4670, 50090}, {4681, 4796}, {4686, 60942}, {4687, 7231}, {4739, 17755}, {4741, 50097}, {4747, 16777}, {4887, 41310}, {4953, 5856}, {4957, 20881}, {4971, 20072}, {5845, 40341}, {6172, 17119}, {6542, 28333}, {6646, 48635}, {7222, 16675}, {7227, 17258}, {7228, 17261}, {7238, 17264}, {7263, 17336}, {7321, 29626}, {9041, 20050}, {10301, 24814}, {15492, 53594}, {15808, 53601}, {16560, 67334}, {16593, 60980}, {16672, 35578}, {16814, 31211}, {16885, 24599}, {17023, 17246}, {17237, 50118}, {17243, 25269}, {17248, 28650}, {17262, 17316}, {17276, 17284}, {17299, 60977}, {17311, 20059}, {17329, 48636}, {17337, 25728}, {17339, 48631}, {17347, 20055}, {17350, 69557}, {17388, 55998}, {17390, 31300}, {17395, 50127}, {17768, 32847}, {20057, 24841}, {20850, 24822}, {22001, 22034}, {24710, 33089}, {24820, 61153}, {24831, 26339}, {24832, 26340}, {25734, 72229}, {28309, 62231}, {28530, 62222}, {28554, 49710}, {28582, 49771}, {28661, 33804}, {32029, 62995}, {32106, 45213}, {34641, 64908}, {35018, 61621}, {42083, 53541}, {49525, 51090}, {49533, 51144}, {50087, 64015}, {50098, 54280}, {50112, 71635}

X(72369) = reflection of X(i) in X(j) for these {i,j}: {903, 36522}, {1086, 190}, {4014, 40521}, {4409, 1086}, {4440, 4422}, {45213, 32106}
X(72369) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {45, 4454, 49727}, {190, 903, 4473}, {190, 1086, 4370}, {190, 4440, 4422}, {190, 4473, 36522}, {903, 4473, 40480}, {903, 40480, 1086}, {3729, 17334, 594}, {4363, 20073, 49742}, {4370, 4409, 1086}, {4419, 49721, 17369}, {4422, 4440, 1086}, {4659, 17330, 62225}, {17246, 17351, 69556}, {17276, 17340, 48632}, {36522, 40480, 4473}, {55998, 72270, 17388}

X(72370) = X(2)X(45)∩X(6)X(29572)

X(72370) lies on these lines: {2, 45}, {6, 29572}, {9, 17227}, {10, 71864}, {37, 29630}, {44, 17266}, {69, 30833}, {75, 31183}, {86, 645}, {140, 24813}, {210, 58618}, {238, 28512}, {239, 4727}, {320, 62398}, {335, 4698}, {344, 4360}, {354, 58691}, {528, 9780}, {536, 29607}, {537, 3624}, {590, 24818}, {597, 29569}, {615, 24819}, {631, 24828}, {632, 61621}, {668, 72134}, {673, 1268}, {1016, 36954}, {1100, 29625}, {1125, 24841}, {1213, 31311}, {1227, 56519}, {1647, 25531}, {1698, 4432}, {1743, 17241}, {2325, 37756}, {2796, 51073}, {3008, 17160}, {3068, 24843}, {3069, 24842}, {3090, 29243}, {3161, 4398}, {3305, 16560}, {3589, 29586}, {3617, 53534}, {3618, 4437}, {3619, 5845}, {3622, 9041}, {3628, 24833}, {3634, 24715}, {3661, 17275}, {3699, 24542}, {3723, 32108}, {3731, 17370}, {3759, 29605}, {3799, 64523}, {3888, 16482}, {3912, 4700}, {3917, 58553}, {3932, 50015}, {3943, 29590}, {3973, 17361}, {4366, 17259}, {4384, 17342}, {4407, 29637}, {4423, 24820}, {4439, 31289}, {4479, 31200}, {4643, 29629}, {4644, 17234}, {4665, 17280}, {4670, 29626}, {4687, 17755}, {4708, 17260}, {4755, 29614}, {4759, 31151}, {4798, 17368}, {5055, 24827}, {5067, 24817}, {5224, 16593}, {5260, 53302}, {6549, 32028}, {6631, 35092}, {6651, 17385}, {7321, 59579}, {7815, 24815}, {9055, 27268}, {10198, 24848}, {10200, 24847}, {11284, 24822}, {15492, 17288}, {16047, 30906}, {16666, 29575}, {16669, 17312}, {16670, 17387}, {16675, 17383}, {16676, 17399}, {16686, 31073}, {16706, 25101}, {16814, 17291}, {16815, 17359}, {16816, 17269}, {16885, 17232}, {17233, 37650}, {17242, 72276}, {17243, 29588}, {17244, 46922}, {17256, 29596}, {17261, 17356}, {17265, 17350}, {17267, 17295}, {17268, 17348}, {17271, 17284}, {17278, 17339}, {17281, 29628}, {17282, 17336}, {17292, 31144}, {17311, 63050}, {17313, 71635}, {17320, 31191}, {17321, 62390}, {17322, 25072}, {17330, 29587}, {17346, 29579}, {17347, 53665}, {17367, 41313}, {17377, 37681}, {17378, 29627}, {17391, 72264}, {17785, 27131}, {19867, 51595}, {19876, 64908}, {19878, 53601}, {21254, 46912}, {24003, 71875}, {24508, 27076}, {24599, 50088}, {24814, 37453}, {24821, 34595}, {24844, 46219}, {24924, 70858}, {24988, 65166}, {25351, 64850}, {25536, 69839}, {25728, 48629}, {26738, 72290}, {27036, 27113}, {27111, 36799}, {27147, 72272}, {27255, 71866}, {29570, 47352}, {29577, 72274}, {29581, 72273}, {29582, 72261}, {29591, 49731}, {29598, 51488}, {29609, 31349}, {29618, 50131}, {29619, 50124}, {29621, 59373}, {29676, 71980}, {29860, 42056}, {30811, 31056}, {30818, 31205}, {30832, 35595}, {30861, 31187}, {30866, 65161}, {30967, 37686}, {31189, 50101}, {31204, 63426}, {31233, 59779}, {31256, 62652}, {31640, 40865}, {34024, 45213}, {35338, 71868}, {41848, 43287}, {41878, 72292}, {45661, 71057}, {49764, 71934}, {49772, 68969}, {55096, 61017}, {69250, 72020}

X(72370) = isotomic conjugate of X(40509)
X(72370) = X(31)-isoconjugate of X(40509)
X(72370) = X(i)-Dao conjugate of X(j) for these (i,j): {2, 40509}, {6545, 72350}
X(72370) = crosspoint of X(1016) and X(62540)
X(72370) = trilinear pole of line {20058, 40472}
X(72370) = barycentric product X(i)*X(j) for these {i,j}: {903, 20058}, {6635, 40472}
X(72370) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 40509}, {20058, 519}, {40472, 6550}
X(72370) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 45, 17305}, {2, 190, 27191}, {2, 4422, 190}, {2, 4440, 40480}, {2, 4473, 1086}, {2, 26070, 43055}, {2, 30566, 25529}, {2, 41138, 903}, {9, 17283, 17273}, {9, 17341, 17283}, {44, 17266, 17297}, {190, 4422, 41138}, {190, 4473, 52885}, {190, 27191, 903}, {190, 40480, 62424}, {344, 17352, 4360}, {1086, 4422, 4473}, {1086, 4473, 190}, {3008, 17264, 17160}, {4370, 4440, 190}, {4370, 40480, 4440}, {4422, 40480, 4370}, {4440, 62424, 903}, {6687, 41310, 239}, {17244, 72262, 46922}, {17260, 17357, 17307}, {17263, 17353, 86}, {17267, 17349, 17295}, {17277, 17279, 17285}, {17277, 17285, 32025}, {17279, 17338, 17277}, {17284, 17335, 17271}, {27191, 41138, 190}, {29596, 60986, 17256}, {41138, 52885, 4473}

X(72371) = X(2)X(45)∩X(6)X(29627)

X(72371) lies on these lines: {2, 45}, {6, 29627}, {9, 48632}, {10, 53534}, {37, 25097}, {44, 62398}, {140, 24828}, {141, 17328}, {344, 17318}, {524, 17266}, {527, 31243}, {528, 1698}, {537, 19862}, {547, 24827}, {590, 24843}, {594, 4384}, {597, 17244}, {615, 24842}, {900, 31235}, {1100, 29606}, {1213, 6666}, {1656, 29243}, {2161, 51780}, {2786, 31274}, {2796, 31253}, {3008, 3943}, {3035, 57021}, {3525, 24813}, {3589, 4437}, {3616, 9041}, {3629, 17241}, {3634, 4432}, {3740, 58618}, {3742, 58691}, {3756, 33115}, {3759, 29618}, {3763, 4748}, {3819, 58553}, {3836, 4759}, {3912, 4725}, {3932, 17769}, {4126, 29853}, {4366, 60710}, {4393, 17243}, {4395, 17264}, {4399, 17268}, {4557, 44304}, {4657, 62390}, {4659, 17278}, {4665, 17342}, {4670, 17245}, {4687, 9055}, {4688, 72237}, {4698, 17755}, {4753, 4966}, {4767, 17724}, {4781, 24988}, {4953, 65824}, {4971, 29590}, {5070, 24833}, {5222, 50113}, {5308, 47352}, {5326, 24840}, {5550, 24841}, {6329, 17317}, {6547, 36954}, {6633, 40488}, {7263, 17339}, {7277, 17234}, {7294, 24816}, {7308, 16560}, {7786, 71888}, {8167, 24820}, {8584, 17387}, {9780, 71864}, {13466, 72134}, {15492, 21255}, {16239, 61621}, {16517, 17398}, {16666, 29600}, {16816, 50097}, {16885, 53665}, {17237, 60986}, {17246, 17356}, {17248, 51128}, {17256, 20582}, {17260, 34573}, {17265, 17365}, {17267, 17362}, {17269, 50098}, {17277, 29587}, {17281, 31183}, {17282, 17334}, {17283, 17332}, {17284, 17330}, {17285, 51353}, {17292, 49731}, {17302, 31333}, {17311, 37681}, {17312, 32455}, {17322, 51127}, {17336, 48631}, {17371, 26582}, {17374, 41141}, {17384, 25072}, {17388, 72276}, {17390, 29589}, {17392, 72262}, {17395, 41313}, {17397, 48310}, {17768, 31252}, {17780, 24542}, {20195, 72272}, {24599, 50087}, {24616, 71999}, {24715, 64850}, {24814, 52297}, {24817, 61886}, {24818, 32785}, {24819, 32786}, {24844, 55858}, {25351, 51073}, {25992, 60684}, {28741, 52023}, {28982, 62211}, {29601, 50124}, {29621, 62212}, {29626, 49738}, {30833, 37654}, {31192, 57041}, {31238, 61001}, {32029, 63119}, {36480, 72219}, {36807, 63055}, {36834, 72273}, {40483, 40865}, {40487, 71816}, {45326, 71024}, {61343, 66441}

X(72371) = midpoint of X(4473) and X(27191)
X(72371) = reflection of X(i) in X(j) for these {i,j}: {1086, 27191}, {4473, 4422}
X(72371) = complement of X(27191)
X(72371) = complement of the isotomic conjugate of X(36954)
X(72371) = X(i)-complementary conjugate of X(j) for these (i,j): {667, 40468}, {36954, 2887}, {43948, 17046}
X(72371) = crosspoint of X(2) and X(36954)
X(72371) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 190, 40480}, {2, 4422, 1086}, {2, 4470, 31244}, {2, 4473, 27191}, {2, 17354, 34824}, {190, 1086, 4409}, {190, 40480, 1086}, {1086, 4422, 4370}, {3008, 41310, 3943}, {4370, 4409, 190}, {4422, 40480, 190}, {5308, 47352, 61302}, {6633, 40488, 45213}, {6666, 17357, 1213}, {17243, 17352, 69557}, {17245, 17353, 69556}, {17264, 29607, 4395}, {17265, 26685, 17365}, {17267, 37650, 17362}, {17277, 29587, 64712}, {17279, 17337, 594}, {17335, 17341, 29629}, {17335, 29629, 141}, {17338, 17341, 141}, {17338, 29629, 17335}, {17342, 29628, 4665}, {17356, 25101, 17246}, {29587, 64712, 48635}

X(72372) = X(2)X(45)∩X(6)X(31189)

X(72372) lies on these lines: {2, 45}, {6, 31189}, {140, 24827}, {141, 29628}, {142, 69556}, {524, 29607}, {528, 3624}, {537, 51073}, {594, 17278}, {1125, 53534}, {1213, 17058}, {3008, 4969}, {3526, 29243}, {3628, 24828}, {3823, 49771}, {3826, 29660}, {3836, 28512}, {3912, 28329}, {3943, 28313}, {4395, 17266}, {4405, 29577}, {4432, 19878}, {4437, 29610}, {4643, 17282}, {4665, 29629}, {4751, 9055}, {4859, 17340}, {5067, 24813}, {5845, 47355}, {7263, 17341}, {7277, 17352}, {9041, 9780}, {16593, 17384}, {16706, 29626}, {16815, 20582}, {17023, 17245}, {17067, 41310}, {17234, 69557}, {17265, 17316}, {17283, 48635}, {17330, 31183}, {17338, 48631}, {17362, 24599}, {17370, 26582}, {17398, 20195}, {19862, 25351}, {19877, 24841}, {21689, 68930}, {21914, 31235}, {24692, 31289}, {24693, 72219}, {24709, 62221}, {24715, 34595}, {24814, 52293}, {24817, 61870}, {24820, 61158}, {24833, 46219}, {24842, 32789}, {24843, 32790}, {24844, 61878}, {27147, 51126}, {29572, 50112}, {29579, 50098}, {29627, 50113}, {29630, 49738}, {30823, 51415}, {30833, 50087}, {31238, 62681}, {31252, 32847}, {32029, 63121}, {38093, 72273}, {40509, 72350}, {41847, 48310}, {44902, 71024}, {45310, 57021}, {58553, 63632}, {61621, 61877}

X(72372) = complement of the isotomic conjugate of X(40509)
X(72372) = X(40509)-complementary conjugate of X(2887)
X(72372) = crosspoint of X(2) and X(40509)
X(72372) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17305, 31285}, {2, 27191, 4422}, {2, 40480, 1086}, {1086, 4370, 4409}, {4422, 27191, 1086}, {4422, 40480, 27191}, {17282, 17337, 48632}

X(72373) = X(2)X(45)∩X(86)X(17356)

X(72373) lies on these lines: {2, 45}, {86, 17356}, {239, 31243}, {335, 31238}, {528, 5550}, {537, 64850}, {632, 24833}, {673, 17370}, {1227, 56522}, {1268, 34573}, {1647, 33910}, {1656, 24813}, {1698, 24841}, {3008, 17297}, {3525, 29243}, {3618, 30712}, {3624, 25351}, {3661, 17278}, {3663, 31333}, {3763, 32029}, {3834, 29607}, {4357, 31311}, {4360, 17265}, {4384, 48639}, {4432, 34595}, {4437, 63121}, {4644, 17352}, {4665, 17285}, {4708, 17291}, {4798, 25357}, {4859, 17341}, {5054, 24827}, {5067, 24828}, {5222, 17234}, {5326, 24837}, {5845, 63119}, {5936, 36807}, {6547, 34024}, {6549, 40509}, {7294, 24836}, {8252, 24818}, {8253, 24819}, {9041, 46933}, {15668, 70681}, {16706, 29571}, {17067, 17264}, {17160, 17266}, {17227, 17272}, {17233, 30833}, {17241, 29605}, {17245, 29586}, {17271, 29628}, {17273, 17337}, {17284, 62228}, {17295, 53665}, {17307, 24603}, {17322, 58433}, {17366, 29588}, {17380, 29624}, {17381, 60996}, {17382, 29626}, {19862, 24715}, {24814, 52298}, {24817, 61867}, {24844, 55860}, {24988, 43290}, {25666, 70858}, {26724, 55095}, {27195, 72134}, {28639, 32096}, {29587, 61343}, {29589, 50112}, {31029, 37680}, {31252, 32922}, {31253, 53601}, {32101, 32108}, {37756, 62398}, {38093, 41847}, {46934, 53534}, {55861, 61621}, {57021, 59377}, {58467, 71875}

X(72373) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 27191, 190}, {2, 40480, 27191}, {903, 4422, 190}, {3624, 25351, 71864}, {3834, 29607, 68966}, {4440, 41138, 190}, {17227, 31183, 17277}, {17282, 31183, 17227}

X(72374) = X(2)X(45)∩X(142)X(29630)

X(72374) lies on these lines: {2, 45}, {142, 29630}, {528, 46934}, {537, 19877}, {1654, 17227}, {2796, 34595}, {3008, 63049}, {3524, 24827}, {3525, 24833}, {3526, 24817}, {3616, 25351}, {3661, 17282}, {3662, 31183}, {3763, 43985}, {3834, 29590}, {3836, 50015}, {3946, 29625}, {4000, 29572}, {4439, 31252}, {4644, 25357}, {4648, 31313}, {4665, 17283}, {4751, 33888}, {4798, 17370}, {4859, 17280}, {5056, 24813}, {5222, 17300}, {5550, 24715}, {6630, 40509}, {6650, 17400}, {7486, 24828}, {9055, 63121}, {9342, 24820}, {10303, 29243}, {16706, 28639}, {17067, 17266}, {17234, 29588}, {17285, 62225}, {17291, 24603}, {17302, 29571}, {17324, 58433}, {17352, 62223}, {17356, 26806}, {17383, 20533}, {17397, 38093}, {20072, 29607}, {24129, 59755}, {24814, 52299}, {24821, 51073}, {24822, 40916}, {24841, 46933}, {24844, 55856}, {26582, 29624}, {27147, 29603}, {29578, 60999}, {29587, 62228}, {31029, 63002}, {31189, 71635}, {31243, 37756}, {53601, 64850}, {55857, 61621}

X(72374) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 1086, 4473}, {1086, 4473, 4440}, {27191, 40480, 2}

X(72375) = X(2)X(45)∩X(141)X(66441)

X(72375) lies on these lines: {2, 45}, {141, 66441}, {142, 64906}, {519, 3836}, {528, 15015}, {547, 24828}, {551, 25351}, {594, 17282}, {597, 39704}, {900, 59376}, {2161, 5437}, {2786, 14971}, {2796, 9167}, {3008, 31138}, {3662, 66451}, {3763, 5936}, {3834, 4969}, {3943, 17067}, {4000, 50113}, {4395, 17310}, {4437, 20582}, {4715, 25357}, {4751, 31349}, {4859, 17281}, {4908, 62398}, {5054, 29243}, {5071, 24813}, {5845, 47352}, {6707, 24636}, {7238, 29607}, {7263, 17342}, {9041, 21358}, {12100, 24827}, {15694, 24833}, {16590, 50092}, {16593, 41311}, {16706, 49738}, {17234, 50112}, {17243, 66702}, {17245, 17382}, {17265, 50101}, {17272, 17278}, {17274, 17337}, {17284, 62225}, {17302, 31332}, {17313, 17366}, {17333, 48631}, {17356, 50116}, {17378, 69557}, {19883, 50290}, {21255, 50082}, {24452, 48810}, {24817, 61859}, {24844, 61883}, {27147, 30598}, {28301, 41310}, {28309, 37756}, {29569, 66457}, {31189, 62223}, {37650, 66701}, {38314, 68589}, {39982, 53543}, {40488, 66543}, {45213, 64463}, {50087, 53665}, {61621, 61880}, {62675, 62682}

X(72375) = complement of X(41138)
X(72375) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 903, 4422}, {2, 1086, 4370}, {2, 31139, 17369}, {1086, 4422, 4409}, {17067, 31243, 3943}, {27191, 40480, 1086}

X(72376) = X(2)X(45)∩X(594)X(4859)

X(72376) lies on these lines: {2, 45}, {594, 4859}, {3244, 25351}, {3544, 24813}, {3636, 53534}, {3834, 49770}, {4384, 48632}, {7263, 29629}, {15720, 29243}, {17067, 49765}, {17335, 48631}, {24817, 67095}, {24827, 34200}, {24828, 35018}, {24833, 55863}, {26582, 29618}, {31191, 69556}, {40509, 53582}, {57021, 66065}, {62675, 63401}

X(72377) = X(2)X(45)∩X(142)X(29586)

X(72377) lies on these lines: {2, 45}, {142, 29586}, {145, 25351}, {537, 46932}, {1278, 30833}, {3661, 4859}, {3834, 20016}, {4000, 29588}, {4700, 29590}, {4727, 37756}, {5068, 24813}, {5222, 20090}, {6542, 17067}, {6646, 31183}, {7496, 24822}, {10303, 24833}, {10304, 24827}, {17227, 17275}, {17236, 62608}, {17278, 17329}, {19877, 53601}, {24715, 46934}, {24817, 55864}, {24828, 61914}, {24844, 61886}, {26806, 29630}, {27147, 62648}, {29243, 61820}, {48639, 51353}, {60781, 61621}, {62223, 63051}

X(72377) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 36525, 4440}, {4370, 62424, 4440}, {4440, 40480, 2}

X(72378) = X(2)X(45)∩X(142)X(214)

X(72378) lies on these lines: {2, 45}, {10, 36912}, {141, 3679}, {142, 214}, {514, 66543}, {519, 3834}, {524, 31138}, {527, 40540}, {536, 41141}, {537, 3739}, {549, 29243}, {597, 4795}, {620, 2796}, {673, 59374}, {900, 4928}, {918, 21198}, {952, 36234}, {1125, 62682}, {1227, 24589}, {1266, 4908}, {1644, 24188}, {2161, 3306}, {2786, 5461}, {3008, 4715}, {3241, 4000}, {3545, 24813}, {3589, 50116}, {3631, 50082}, {3662, 17328}, {3667, 60756}, {3826, 50285}, {3836, 28503}, {3912, 28309}, {4361, 31145}, {4399, 21255}, {4405, 4677}, {4432, 19883}, {4437, 21358}, {4657, 31312}, {4688, 9055}, {4755, 60999}, {4851, 34747}, {4869, 20049}, {4887, 6687}, {4971, 17310}, {5054, 24833}, {5055, 24828}, {5723, 41801}, {5846, 31151}, {6547, 35121}, {6549, 40488}, {6678, 23583}, {7228, 17356}, {7232, 37654}, {7263, 17281}, {8703, 24827}, {9054, 71710}, {9460, 39349}, {9466, 71888}, {14442, 14475}, {15668, 19336}, {15709, 24817}, {16099, 64592}, {16593, 38093}, {16610, 27751}, {16723, 17205}, {16724, 16887}, {16833, 22165}, {17227, 64712}, {17231, 50099}, {17232, 50088}, {17234, 50113}, {17243, 50101}, {17245, 17320}, {17271, 48632}, {17274, 17278}, {17297, 28337}, {17298, 50131}, {17306, 19876}, {17323, 60996}, {17333, 17337}, {17342, 48627}, {17366, 17378}, {17367, 39704}, {17380, 31313}, {17395, 66457}, {20530, 40552}, {21258, 56416}, {21356, 32029}, {22102, 31380}, {24199, 34573}, {24452, 29660}, {24715, 25055}, {24841, 53620}, {24844, 61887}, {25357, 49731}, {25557, 50287}, {25590, 51128}, {28297, 41310}, {28301, 62398}, {28538, 50013}, {29572, 66702}, {29587, 62225}, {29591, 55955}, {29628, 66451}, {31322, 31349}, {35092, 66540}, {35168, 45213}, {35466, 63233}, {36235, 61076}, {38314, 53534}, {40553, 44379}, {40726, 53302}, {46790, 66508}, {47599, 61621}, {47774, 70858}, {49725, 71322}, {50095, 50991}, {50119, 62390}, {50301, 51006}, {52877, 62677}, {61020, 72264}, {63052, 69557}, {64913, 69973}

X(72378) = midpoint of X(i) and X(j) for these {i,j}: {2, 1086}, {903, 4370}, {1266, 4908}, {4422, 36525}, {8703, 24827}, {31138, 41140}, {35092, 66540}, {46790, 66508}
X(72378) = reflection of X(i) in X(j) for these {i,j}: {2, 40480}, {4422, 2}, {36522, 4422}, {36525, 1086}
X(72378) = complement of X(4370)
X(72378) = complement of the isogonal conjugate of X(2226)
X(72378) = complement of the isotomic conjugate of X(54974)
X(72378) = X(i)-complementary conjugate of X(j) for these (i,j): {88, 121}, {106, 16594}, {679, 141}, {1022, 3259}, {1318, 3452}, {2226, 10}, {4618, 3835}, {4638, 513}, {9456, 4370}, {23345, 66508}, {30575, 3454}, {32665, 6544}, {36042, 21129}, {39414, 4928}, {41935, 37}, {54974, 2887}, {57929, 626}, {59150, 3834}
X(72378) = X(17780)-Ceva conjugate of X(514)
X(72378) = X(6549)-Dao conjugate of X(6548)
X(72378) = crosspoint of X(2) and X(54974)
X(72378) = crosssum of X(6) and X(1017)
X(72378) = crossdifference of every pair of points on line {1960, 21781}
X(72378) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 903, 4370}, {2, 4440, 41138}, {2, 4945, 16594}, {2, 31139, 10022}, {2, 36525, 36522}, {2, 42026, 51583}, {2, 49741, 49737}, {142, 17382, 49738}, {1086, 4370, 903}, {1086, 27191, 40480}, {1086, 40480, 4422}, {3834, 17067, 4395}, {4000, 17313, 50112}, {10022, 31139, 49733}, {17278, 48631, 17332}, {17313, 50112, 17390}, {17356, 63589, 7228}, {17382, 49738, 17045}, {24183, 37691, 58413}, {39104, 39106, 4440}

X(72379) = X(2)X(45)∩X(7)X(63051)

X(72379) lies on these lines: {2, 45}, {7, 63051}, {8, 25351}, {75, 29587}, {140, 24817}, {141, 51353}, {142, 16826}, {149, 57021}, {192, 29627}, {239, 17067}, {320, 29590}, {335, 4699}, {376, 24827}, {527, 29607}, {528, 3622}, {537, 9780}, {631, 24833}, {673, 17379}, {894, 31191}, {900, 66063}, {1266, 17266}, {1278, 53665}, {1654, 3662}, {1698, 53601}, {2796, 3624}, {3008, 20072}, {3091, 24813}, {3120, 26139}, {3523, 29243}, {3616, 24715}, {3617, 24841}, {3619, 4772}, {3620, 32029}, {3628, 24844}, {3634, 24821}, {3739, 33888}, {3834, 6542}, {3875, 29618}, {3912, 28313}, {4000, 4393}, {4395, 17297}, {4398, 17265}, {4402, 17373}, {4432, 5550}, {4461, 36807}, {4555, 6547}, {4645, 28512}, {4648, 6653}, {4657, 6650}, {4659, 17280}, {4670, 16706}, {4678, 9041}, {4688, 29591}, {4702, 62392}, {4740, 29579}, {4748, 17236}, {4751, 68870}, {4759, 32857}, {4767, 24988}, {4862, 17338}, {5056, 24828}, {5070, 61621}, {5218, 24837}, {5222, 63052}, {5260, 24826}, {5328, 31228}, {5845, 51171}, {6173, 17367}, {6633, 54102}, {6646, 17278}, {6667, 36237}, {7232, 62989}, {7238, 68966}, {7263, 17283}, {7288, 24836}, {7321, 17356}, {7485, 24822}, {8889, 24814}, {8972, 24819}, {10588, 24816}, {10589, 24840}, {11451, 58553}, {13941, 24818}, {16560, 27003}, {16815, 50092}, {17086, 60988}, {17117, 21255}, {17120, 60980}, {17205, 27348}, {17232, 26582}, {17234, 17318}, {17247, 20195}, {17264, 31243}, {17268, 53594}, {17274, 29628}, {17275, 48637}, {17277, 48631}, {17291, 24199}, {17301, 29569}, {17304, 27147}, {17313, 29588}, {17319, 29606}, {17327, 69010}, {17333, 31183}, {17349, 64015}, {17352, 31300}, {17358, 31995}, {17366, 20090}, {17374, 40891}, {17382, 29586}, {17397, 36834}, {17399, 29592}, {17780, 24188}, {21204, 24129}, {23891, 27295}, {24200, 29862}, {24593, 33129}, {24599, 50074}, {24625, 53543}, {25498, 41843}, {26048, 27106}, {26109, 27186}, {26113, 27159}, {26149, 27311}, {26626, 59374}, {26685, 63576}, {26724, 26840}, {27268, 60996}, {28634, 48638}, {29572, 50101}, {29581, 38093}, {29619, 50109}, {29630, 50116}, {31138, 62231}, {31151, 50015}, {31290, 70858}, {32094, 40509}, {32099, 32108}, {37771, 63782}, {40488, 72350}, {41774, 63587}, {42555, 59755}, {46934, 71864}, {48571, 71024}, {48632, 64712}, {49676, 50016}, {62872, 71710}

X(72379) = anticomplement of the isotomic conjugate of X(40509)
X(72379) = X(40509)-anticomplementary conjugate of X(6327)
X(72379) = X(40509)-Ceva conjugate of X(2)
X(72379) = cevapoint of X(6547) and X(59755)
X(72379) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 1086, 4440}, {2, 4440, 4473}, {190, 903, 4409}, {190, 27191, 40480}, {190, 40480, 2}, {320, 29590, 63049}, {1086, 4422, 903}, {1086, 27191, 2}, {1086, 40480, 190}, {3834, 37756, 6542}, {4395, 17297, 20016}, {4409, 4422, 190}, {4440, 4473, 17487}, {4659, 17282, 29629}, {4659, 29629, 17280}, {16706, 26806, 63053}, {17234, 17318, 29589}, {17278, 48629, 6646}, {17282, 48627, 17280}, {17291, 24199, 28604}, {17305, 34824, 2}, {25529, 43055, 2}, {27159, 68975, 26113}, {29629, 48627, 4659}

X(72380) = X(2)X(45)∩X(528)X(51105)

X(72380) lies on these lines: {2, 45}, {528, 51105}, {3755, 51071}, {3775, 4745}, {4437, 51143}, {4669, 25351}, {4859, 17330}, {4969, 17067}, {5845, 51185}, {8028, 24188}, {9041, 50993}, {10109, 24828}, {15690, 24827}, {15693, 29243}, {15701, 24833}, {17270, 48632}, {17331, 48631}, {24715, 51110}, {24813, 41106}, {24841, 51068}, {28301, 31243}, {32029, 50994}, {45213, 66540}, {51103, 53534}, {51109, 64908}, {63589, 69556}

X(72380) = midpoint of X(903) and X(4473)
X(72380) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 903, 36522}, {4473, 27191, 40480}, {36522, 40480, 2}

X(72381) = X(2)X(45)∩X(524)X(17067)

X(72381) lies on these lines: {2, 45}, {524, 17067}, {528, 3636}, {550, 24827}, {3008, 28333}, {3530, 29243}, {3589, 63589}, {3626, 9041}, {3834, 4971}, {3855, 24813}, {4395, 17374}, {4643, 4859}, {4739, 9055}, {4796, 5845}, {4896, 63124}, {5079, 24828}, {7232, 24599}, {7263, 17284}, {15720, 24833}, {17235, 31211}, {17246, 29626}, {17332, 29628}, {24693, 71322}, {28297, 62398}

X(72381) = midpoint of X(1086) and X(40480)
X(72381) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 1086, 36525}, {1086, 27191, 4422}, {4422, 27191, 40480}

X(72382) = X(2)X(45)∩X(75)X(30866)

X(72382) lies on these lines: {2, 45}, {75, 30866}, {86, 17382}, {142, 17320}, {239, 31138}, {244, 71051}, {320, 4700}, {335, 4688}, {344, 66452}, {381, 24813}, {514, 54974}, {519, 1738}, {528, 8236}, {536, 27487}, {537, 19875}, {549, 24833}, {551, 24715}, {599, 32029}, {673, 2364}, {900, 59377}, {1227, 19804}, {1266, 41141}, {2161, 27003}, {2786, 9166}, {2796, 19883}, {3524, 29243}, {3534, 24827}, {3662, 17271}, {3679, 17227}, {3739, 31349}, {3828, 53601}, {3834, 4727}, {4000, 17378}, {4360, 17313}, {4395, 40891}, {4715, 68966}, {4795, 17367}, {4859, 17274}, {4908, 17266}, {4995, 24837}, {5071, 24828}, {5263, 24452}, {5298, 24836}, {5845, 38086}, {6547, 9460}, {7232, 50074}, {7238, 29590}, {7263, 17285}, {7321, 50115}, {9041, 21356}, {9055, 21358}, {11049, 24830}, {13846, 24819}, {13847, 24818}, {14442, 21204}, {14475, 57567}, {15702, 24817}, {15703, 24844}, {16590, 17254}, {16706, 50116}, {16816, 66454}, {17078, 30379}, {17117, 50081}, {17179, 69008}, {17191, 42028}, {17232, 50087}, {17234, 50101}, {17263, 50090}, {17264, 28301}, {17273, 17330}, {17278, 17333}, {17281, 17283}, {17282, 17342}, {17288, 50082}, {17295, 50088}, {17298, 50132}, {17300, 50112}, {17302, 49738}, {17304, 62648}, {17307, 24199}, {17312, 50123}, {17315, 50108}, {17347, 66701}, {17366, 63052}, {17380, 62778}, {17387, 51093}, {17399, 25055}, {19876, 24821}, {21255, 50099}, {24159, 54345}, {24177, 41878}, {24620, 27739}, {24807, 36234}, {24814, 62980}, {24840, 68688}, {28840, 70858}, {31144, 50092}, {32025, 48632}, {32096, 50124}, {33148, 43290}, {35030, 40533}, {35092, 66543}, {35168, 66540}, {36588, 36807}, {37771, 41801}, {38093, 51488}, {41311, 62682}, {55095, 69251}, {56523, 63583}, {61621, 61885}, {62383, 70693}, {64664, 71689}

X(72382) = midpoint of X(903) and X(41138)
X(72382) = reflection of X(i) in X(j) for these {i,j}: {190, 41138}, {41138, 2}, {71864, 25055}
X(72382) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 88, 41802}, {2, 903, 190}, {2, 1086, 903}, {2, 4080, 31171}, {2, 4440, 4370}, {2, 17487, 4422}, {903, 27191, 2}, {903, 62424, 36525}, {1086, 4370, 36525}, {1086, 4440, 62424}, {1086, 27191, 190}, {1086, 40480, 4440}, {4370, 36525, 4440}, {4370, 40480, 2}, {4440, 36525, 903}, {4859, 48629, 17277}, {17290, 31139, 2}, {25529, 41802, 2}, {36525, 40480, 4370}, {40480, 62424, 190}

X(72383) = X(2)X(45)∩X(3662)X(64712)

X(72383) lies on these lines: {2, 45}, {3662, 64712}, {3834, 17133}, {4384, 48631}, {4395, 4725}, {4668, 9041}, {4670, 63589}, {4691, 25351}, {4859, 17332}, {5845, 61020}, {6631, 62471}, {7228, 31191}, {7238, 17067}, {7263, 17286}, {15686, 24827}, {15712, 29243}, {17269, 62403}, {17331, 48629}, {24813, 61964}, {24828, 61919}, {24833, 61811}, {28297, 31243}, {31647, 40488}

X(72383) = midpoint of X(1086) and X(27191)
X(72383) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4440, 52885}, {2, 62424, 4409}, {1086, 4409, 62424}, {1086, 4422, 36525}

X(72384) = X(2)X(45)∩X(20)X(24827)

X(72384) lies on these lines: {2, 45}, {20, 24827}, {335, 4772}, {537, 46933}, {673, 37677}, {1654, 48631}, {2796, 5550}, {3523, 24833}, {3617, 25351}, {3622, 24715}, {3662, 17270}, {3663, 29626}, {3832, 24813}, {4000, 20090}, {4643, 48629}, {4678, 24841}, {4859, 6646}, {4887, 29607}, {5067, 24844}, {5265, 24836}, {5281, 24837}, {5845, 63123}, {6547, 39349}, {6548, 24129}, {6650, 28626}, {7238, 63049}, {9780, 53601}, {10303, 24817}, {14475, 42555}, {15022, 24828}, {15246, 24822}, {15717, 29243}, {17023, 26806}, {17045, 31334}, {17067, 29590}, {17227, 51353}, {17236, 62675}, {17284, 48627}, {17302, 28639}, {17304, 29612}, {17326, 41844}, {17350, 31189}, {17374, 20016}, {19877, 24821}, {20042, 24188}, {24199, 29610}, {24599, 62989}, {24814, 52284}, {24820, 61156}, {29570, 59374}, {29579, 62403}, {29589, 50101}, {31313, 41845}, {32093, 32096}, {49768, 62392}, {61621, 61886}

X(72384) = reflection of X(62424) in X(1086)
X(72384) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {903, 40480, 4473}, {1086, 27191, 4440}, {1086, 40480, 903}, {4440, 27191, 2}, {4473, 40480, 2}

X(72385) = X(2)X(45)∩X(524)X(50013)

X(72385) lies on these lines: {2, 45}, {524, 50013}, {528, 43179}, {537, 51069}, {900, 59755}, {3834, 28309}, {4395, 31138}, {4437, 51186}, {4669, 9041}, {4715, 17067}, {4745, 25351}, {5845, 51195}, {6547, 66540}, {7238, 41140}, {9055, 51143}, {12100, 29243}, {15693, 24833}, {17269, 36588}, {17272, 48631}, {17301, 66457}, {17330, 48629}, {17382, 63589}, {19636, 38026}, {19710, 24827}, {24188, 40468}, {24715, 51105}, {24813, 41099}, {24817, 61838}, {24828, 61920}, {24841, 51072}, {24844, 61891}, {28337, 37756}, {32029, 50990}, {51108, 64908}

X(72385) = midpoint of X(i) and X(j) for these {i,j}: {2, 36525}, {903, 4422}, {4395, 31138}, {7238, 41140}
X(72385) = complement of X(36522)
X(72385) = {X(2),X(1086)}-harmonic conjugate of X(36525)

X(72386) = X(2)X(45)∩X(86)X(63589)

X(72386) lies on these lines: {2, 45}, {86, 63589}, {335, 4739}, {546, 24813}, {673, 60980}, {1268, 24199}, {3530, 24833}, {3626, 24841}, {3631, 32029}, {3636, 24715}, {3662, 28634}, {4384, 17273}, {4398, 29627}, {4659, 17283}, {4859, 17335}, {5845, 63011}, {7263, 29587}, {7321, 31191}, {10299, 29243}, {15681, 24827}, {15808, 71864}, {17067, 68966}, {17160, 49765}, {17285, 48627}, {17352, 63576}, {17399, 36834}, {24817, 61836}, {24828, 61921}, {24844, 61892}, {36807, 39710}, {37756, 49770}, {48147, 70858}, {48632, 51353}

X(72386) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {190, 1086, 62424}, {190, 62424, 903}, {1086, 27191, 903}, {27191, 62424, 190}

X(72387) = X(2)X(45)∩X(528)X(62778)

X(72387) lies on these lines: {2, 45}, {528, 62778}, {537, 4699}, {551, 17302}, {673, 59375}, {1654, 48629}, {2796, 17304}, {3241, 17300}, {3524, 24833}, {3616, 64908}, {3620, 9041}, {3662, 3679}, {3828, 21087}, {3839, 24813}, {4000, 63052}, {4688, 27495}, {4715, 29590}, {4725, 31138}, {4740, 27474}, {4859, 17333}, {5054, 24817}, {5845, 63127}, {6547, 35168}, {6548, 14442}, {6650, 17399}, {11001, 24827}, {15692, 29243}, {15699, 24844}, {17067, 20072}, {17117, 34641}, {17133, 17310}, {17266, 28301}, {17271, 48631}, {17274, 17331}, {17286, 48627}, {17298, 34747}, {17312, 50108}, {17382, 26806}, {17769, 31151}, {19875, 53601}, {20533, 59374}, {24715, 38314}, {24828, 61924}, {25351, 53620}, {29579, 36588}, {29589, 66702}, {31347, 31349}, {33129, 63233}, {35092, 54974}, {36237, 59376}, {39349, 66540}, {41140, 63049}, {50116, 63053}, {61621, 61887}

X(72387) = reflection of X(i) in X(j) for these {i,j}: {2, 27191}, {4473, 2}
X(72387) = barycentric product X(903)*X(68451)
X(72387) = barycentric quotient X(68451)/X(519)
X(72387) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 903, 17487}, {2, 42026, 30577}, {903, 17487, 4440}, {1086, 4422, 62424}, {4945, 24183, 2}, {6547, 66543, 35168}, {31138, 37756, 40891}, {40480, 41138, 2}

X(72388) = X(2)X(45)∩X(673)X(61020)

X(72388) lies on these lines: {2, 45}, {673, 61020}, {1657, 24827}, {3843, 24813}, {4668, 24841}, {6547, 62474}, {15712, 24833}, {17268, 39710}, {17272, 48629}, {17297, 49761}, {17304, 30598}, {17326, 56061}, {17380, 30712}, {24828, 69406}, {29243, 61138}, {37756, 50019}

X(72388) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 1086, 62424}, {2, 4409, 52885}, {903, 27191, 4422}, {903, 52885, 4409}, {52885, 62424, 903}

X(72389) = X(2)X(45)∩X(528)X(38054)

X(72389) lies on these lines: {2, 45}, {528, 38054}, {15700, 24833}, {17265, 66452}, {17270, 48631}, {17504, 29243}, {24452, 71322}, {24813, 61980}, {24827, 62154}, {24828, 61925}, {31138, 49770}, {45213, 54974}, {48629, 66441}, {49738, 63589}, {50097, 62403}, {60980, 64906}

X(72389) = midpoint of X(45213) and X(54974)
X(72389) = {X(903),X(40480)}-harmonic conjugate of X(36522)

X(72390) = X(2)X(45)∩X(3662)X(51353)

X(72390) lies on these lines: {2, 45}, {3662, 51353}, {15683, 24827}, {15717, 24833}, {16826, 63589}, {17230, 62403}, {17275, 48629}, {24199, 60710}, {24813, 50689}, {24817, 61834}, {24821, 46931}, {24844, 46936}, {29243, 61791}, {29587, 48627}, {31300, 63576}, {46933, 53601}

X(72389) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1086, 40480, 62424}, {40480, 62424, 4440}

X(72391) = X(2)X(45)∩X(3845)X(24813)

X(72391) lies on these lines: {2, 45}, {3845, 24813}, {4669, 24841}, {5845, 66763}, {9041, 50994}, {9055, 51186}, {12100, 24833}, {15685, 24827}, {15698, 29243}, {17271, 48629}, {17297, 28329}, {17320, 63589}, {21204, 62623}, {22165, 32029}, {24188, 68451}, {24715, 51103}, {24817, 61833}, {24828, 61926}, {24844, 61893}, {25351, 51066}, {32025, 48631}, {51069, 53601}, {51108, 71864}, {51110, 64908}

X(72391) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4440, 36522}, {903, 27191, 41138}, {1086, 27191, 62424}, {41138, 62424, 903}

X(72392) = X(110)X(3164)∩X(112)X(3168)

Antreas Hatzipolakis and Peter Moses, euclid 9401.

X(72392) lies on the circumcircle and these lines: {110, 3164}, {112, 3168}, {2713, 52463}, {2715, 67186}, {26717, 68056}

X(72392) = Thomson isogonal conjugate of X(9242)
X(72392) = Collings transform of X(35236)
X(72392) = cevapoint of X(523) and X(35236)
X(72392) = crosssum of X(52463) and X(67540)
X(72392) = trilinear pole of line {6, 59745}

X(72393) = X(4)X(40630)∩X(30)X(6699)

Antreas Hatzipolakis and Francisco Javier García Capitán, euclid 9429.

X(72393) lies on these lines: {4, 40630}, {30, 6699}, {115, 36435}, {381, 15454}, {477, 57471}, {546, 3471}, {1138, 34150}, {1990, 6128}, {3839, 9214}, {3845, 14254}, {5318, 36298}, {5321, 36299}, {5627, 52219}, {5641, 9410}, {9154, 46988}, {14993, 51349}, {15752, 36162}, {60740, 65086}

X(72394) = X(2)X(14264)∩X(30)X(3003)

Antreas Hatzipolakis and Francisco Javier García Capitán, euclid 9429.

X(72394) lies on these lines: {2, 14264}, {30, 3003}, {403, 46106}, {974, 6699}, {2071, 43768}, {8749, 57747}, {10419, 47084}, {11079, 12028}, {15760, 39170}, {35372, 46632}, {37118, 59280}, {46809, 58940}, {52403, 62727}

X(72395) = X(30)X(5972)∩X(382)X(15454)

Antreas Hatzipolakis and Peter Moses, euclid 9440.

X(72395) lies on these lines: {30, 5972}, {382, 15454}, {477, 52219}, {523, 13202}, {1138, 46045}, {2452, 61721}, {3146, 3233}, {3154, 58350}, {3260, 62288}, {3471, 62026}, {3543, 9214}, {3627, 14254}, {5627, 10721}, {5641, 46988}, {9154, 46982}, {13473, 47147}, {14536, 14989}, {17578, 71150}, {36298, 43401}, {36299, 43402}, {41522, 64510}, {44267, 45821}, {44992, 52464}, {51349, 52056}, {52661, 57584}, {53159, 68050}

X(72395) = midpoint of X(3146) and X(3233)
X(72395) = isogonal conjugate of X(15055)
X(72395) = isogonal conjugate of the anticomplement of X(36518)
X(72395) = X(i)-cross conjugate of X(j) for these (i,j): {3154, 523}, {58350, 1990}
X(72395) = X(1)-isoconjugate of X(15055)
X(72395) = X(3)-Dao conjugate of X(15055)
X(72395) = barycentric quotient X(6)/X(15055)

X(72396) = X(30)X(125)∩X(115)X(1990)

Antreas Hatzipolakis and Peter Moses, euclid 9440.

X(72396) lies on these lines: {4, 12079}, {5, 15454}, {30, 125}, {115, 1990}, {265, 36169}, {339, 3260}, {381, 2452}, {403, 8901}, {476, 15044}, {477, 3154}, {523, 7687}, {546, 14254}, {2970, 10151}, {3091, 14611}, {3258, 41522}, {3471, 3850}, {5066, 33505}, {5627, 46045}, {5641, 16076}, {6070, 52219}, {7471, 66815}, {10721, 40630}, {11438, 46255}, {12052, 15465}, {12068, 17702}, {13479, 17986}, {14120, 53866}, {15025, 38701}, {15081, 36164}, {15738, 68070}, {18907, 35906}, {21046, 69545}, {23515, 47084}, {30786, 36170}, {32230, 68642}, {32815, 36891}, {34209, 51349}, {34978, 43917}, {36184, 38580}, {36253, 68308}, {36298, 43416}, {36299, 43417}, {39533, 67863}, {46988, 70054}, {53159, 62350}, {57603, 65729}

X(72396) = midpoint of X(i) and X(j) for these {i,j}: {4, 12079}, {265, 36169}, {3154, 34150}, {6070, 52219}, {11801, 21316}, {15738, 68070}, {36253, 68308}
X(72396) = reflection of X(i) in X(j) for these {i,j}: {12052, 15465}, {31945, 5}, {41522, 3258}
X(72396) = isogonal conjugate of X(15035)
X(72396) = antigonal image of X(41522)
X(72396) = isogonal conjugate of the anticomplement of X(23515)
X(72396) = X(i)-cross conjugate of X(j) for these (i,j): {6070, 523}, {11251, 43917}, {52219, 30}
X(72396) = X(i)-isoconjugate of X(j) for these (i,j): {1, 15035}, {1101, 3154}
X(72396) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 15035}, {523, 3154}
X(72396) = cevapoint of X(125) and X(62350)
X(72396) = crosssum of X(32162) and X(47084)
X(72396) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 15035}, {115, 3154}
X(72396) = {X(14644),X(34150)}-harmonic conjugate of X(3154)

X(72397) = X(115)X(468)∩X(125)X(524)

Antreas Hatzipolakis and Peter Moses, euclid 9440.

X(72397) lies on these lines: {2, 47293}, {30, 51541}, {115, 468}, {125, 524}, {126, 36953}, {265, 36170}, {339, 3266}, {427, 51823}, {858, 52898}, {1640, 34763}, {2452, 5094}, {2770, 14120}, {2970, 37778}, {3154, 36825}, {3906, 22264}, {4062, 21046}, {4590, 30786}, {5914, 47240}, {5967, 41939}, {8371, 50942}, {13479, 16092}, {14061, 44182}, {16103, 47155}, {30739, 66165}, {30745, 31068}, {37454, 43084}, {39602, 47238}, {53136, 57539}, {57496, 62958}, {57607, 65729}

X(72397) = isogonal conjugate of X(52699)
X(72397) = X(i)-isoconjugate of X(j) for these (i,j): {1, 52699}, {1101, 14120}
X(72397) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 52699}, {523, 14120}
X(72397) = trilinear pole of line {690, 44915}
X(72397) = barycentric quotient X(i)/X(j) for these {i,j}: {6, 52699}, {115, 14120}

X(72398) = 105TH HATZIPOLAKIS-MOSES-EULER POINT

See Antreas Hatzipolakis and Peter Moses, euclid 9446.

X(72398) lies on these lines: {2, 3}, {74, 50708}, {477, 33639}, {930, 67735}, {1154, 17855}, {1291, 67797}, {1294, 13863}, {2693, 30248}, {2777, 46114}, {6799, 53934}, {13363, 13446}, {13391, 37853}, {13399, 32423}, {13445, 34153}, {14677, 43574}, {22115, 43391}, {29011, 67784}, {40111, 50434}, {53884, 67727}

X(72398) = midpoint of X(i) and X(j) for these {i,j}: {550, 18859}, {3153, 15704}, {13445, 34153}, {14677, 43574}, {16386, 37950}, {40111, 50434}
X(72398) = reflection of X(i) in X(j) for these {i,j}: {140, 34152}, {186, 33923}, {3853, 2072}, {10096, 3}, {11558, 140}, {11563, 3530}, {12103, 16386}, {25338, 37968}, {31726, 3628}, {44267, 15350}, {44961, 16976}, {47096, 22249}
X(72398) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {403, 13473, 44226}, {427, 21284, 65154}, {3520, 13619, 403}, {3530, 50143, 140}, {5159, 7426, 6677}, {5189, 6636, 7426}, {11563, 37948, 3530}, {15690, 66718, 548}, {16387, 47311, 5159}

X(72399) = 106TH HATZIPOLAKIS-MOSES-EULER POINT

See Antreas Hatzipolakis and Peter Moses, euclid 9446.

X(72399) lies on these lines: {2, 3}, {110, 15362}, {113, 15361}, {524, 10272}, {952, 47495}, {3564, 47544}, {5215, 38611}, {5844, 47488}, {9158, 57305}, {11178, 32217}, {11179, 47453}, {11645, 20304}, {11649, 13364}, {11801, 15448}, {12900, 19924}, {14643, 15360}, {15088, 32237}, {16328, 18487}, {20423, 47450}, {21850, 47452}, {32423, 35266}, {32515, 46986}, {34315, 59403}, {34316, 59404}, {34380, 47473}, {43291, 47169}, {43656, 53950}, {44204, 47219}, {44569, 46817}, {45969, 61606}, {47455, 50979}, {47471, 47562}, {47556, 47581}, {50955, 52238}, {61572, 62508}, {61619, 63124}

X(72399) = midpoint of X(i) and X(j) for these {i,j}: {2, 44266}, {5, 7426}, {113, 15361}, {376, 44267}, {381, 7575}, {468, 47334}, {547, 25338}, {549, 11799}, {3845, 44265}, {10295, 15687}, {10989, 37967}, {11178, 32217}, {11563, 44214}, {11737, 44264}, {15686, 62288}, {16619, 47097}, {18579, 47332}, {44204, 47219}, {44569, 46817}, {47310, 47335}, {47312, 47341}, {47333, 47336}, {47556, 47581}
X(72399) = reflection of X(i) in X(j) for these {i,j}: {547, 68319}, {10297, 11737}, {12105, 7426}, {14893, 37984}, {15122, 10124}, {37968, 44214}, {44214, 44900}, {44961, 47334}, {47097, 3628}, {47333, 22249}, {62139, 66595}
X(72399) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {381, 37907, 7575}, {403, 44265, 3845}, {403, 66725, 37984}, {468, 44961, 18571}, {468, 47332, 18579}, {468, 47336, 22249}, {5071, 37909, 7574}, {10096, 37942, 46031}, {10096, 44233, 25338}, {10109, 66529, 5066}, {10296, 10298, 16386}, {11563, 44900, 37968}, {13626, 13627, 381}, {14002, 37907, 7426}, {18579, 47334, 47332}, {25338, 44234, 25337}, {34330, 62961, 14893}, {44233, 68319, 46031}, {44266, 44282, 2}, {57322, 57323, 61924}

X(72400) = X(20)X(51967)∩X(376)X(60119)

Antreas Hatzipolakis and Peter Moses, euclid 9448.

X(72400) lies on these lines: {20, 51967}, {376, 60119}, {6344, 18850}, {16386, 50480}

X(72400) = barycentric quotient X(146)/X(37643)

X(72401) = X(3)X(271)∩X(4)X(7)

Ananda Raad and Francisco Javier García Capitán, euclid 9451.

X(72401) lies on these lines: {2, 5911}, {3, 271}, {4, 7}, {185, 51490}, {1490, 3341}, {6001, 71271}, {6245, 20264}, {9118, 12664}, {12671, 52078}

X(72401) = anticomplement of X(5911)

X(72402) = X(2)X(5910)∩X(4)X(51)

Ananda Raad and Francisco Javier García Capitán, euclid 9451.

X(72402) lies on these lines: {2, 5910}, {3, 15394}, {4, 51}, {631, 64819}, {1498, 3343}, {5562, 71253}, {6247, 20265}

X(72402) = anticomplement of X(5910)

X(72403) = X(4)X(1032)∩X(20)X(2979)

Ananda Raad and Francisco Javier García Capitán, euclid 9451.

X(72403) lies on these lines: {2, 64819}, {3, 15394}, {4, 1032}, {20, 2979}, {1073, 3348}, {1092, 6617}, {52097, 52385}, {53050, 62347}

X(72404) = X(2)X(10748)∩X(4)X(31961)

Marian Cucoanes and Francisco Javier García Capitán, euclid 9469.

X(72404) lies on these lines: {2, 10748}, {4, 31961}, {376, 31729}, {3524, 12505}, {3545, 12506}, {3839, 31840}, {3849, 9741}, {5071, 14866}, {6031, 8703}, {6032, 41099}, {9829, 15698}, {10162, 61932}, {10163, 61822}, {10173, 61904}, {14682, 61128}, {15692, 31744}, {15702, 31762}, {15709, 31606}, {19708, 47074}, {31749, 61980}, {31824, 61985}, {32156, 61936}

X(72405) = HERRENSCHWANDEN POINT

The Herrenschwanden and Thalmatt points appear together here: X(72405) and X(72406). Contributed by Markus Weyermann, May 12, 2026.

X(72405) lies on the Steiner inellipse, the cubic K927, and the line {1,2}

X(72405) = reflection of X(72406) in X(2)
X(72405) = X(667)-complementary conjugate of X(72406)
X(72405) = X(36954)-Ceva conjugate of X(72406)
X(72405) = X(31647)-cross conjugate of X(72406)
X(72405) = X(1110)-isoconjugate of X(72406)
X(72405) = X(514)-Dao conjugate of X(72406)
X(72405) = barycentric quotient X(1086)/X(72406)
X(72405) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3008, 72406}, {8, 62398, 72406}, {10, 3912, 72406}, {239, 1125, 72406}, {551, 41140, 72406}, {1698, 49765, 72406}, {1737, 70774, 72406}, {3624, 50019, 72406}, {3626, 17266, 72406}, {3634, 6542, 72406}, {3635, 29607, 72406}, {3636, 29590, 72406}, {3661, 49769, 72406}, {3679, 41141, 72406}, {3741, 30109, 72406}, {3828, 17310, 72406}, {3840, 49774, 72406}, {4384, 49768, 72406}, {4871, 57038, 72406}, {6633, 62630, 72406}, {6685, 40859, 72406}, {6686, 10027, 72406}, {6700, 40863, 72406}, {16086, 20106, 72406}, {16831, 50022, 72406}, {17023, 50023, 72406}, {17308, 49766, 72406}, {19862, 49770, 72406}, {19878, 20016, 72406}, {20103, 40872, 72406}, {20108, 40886, 72406}, {20340, 70715, 72406}, {24603, 49764, 72406}, {25031, 62620, 72406}, {29571, 49772, 72406}, {29576, 49767, 72406}, {29603, 50020, 72406}, {29604, 32847, 72406}, {29612, 50021, 72406}, {29654, 68948, 72406}, {30059, 50605, 72406}, {30117, 40940, 72406}, {31191, 49771, 72406}, {39595, 60353, 72406}, {49761, 51073, 72406}, {49773, 62673, 72406}, {50024, 50752, 72406}

X(72406) = THALMATT POINT

The Herrenschwanden and Thalmatt points appear together here: X(72405) and X(72406). Contributed by Markus Weyermann, May 12, 2026.

X(72406) lies on the Steiner inellipse, the cubic K927, and the line {1,2}

X(72406) = reflection of X(72405) in X(2)
X(72406) = X(667)-complementary conjugate of X(72405)
X(72406) = X(36954)-Ceva conjugate of X(72405)
X(72406) = X(31647)-cross conjugate of X(72405)
X(72406) = X(1110)-isoconjugate of X(72405)
X(72406) = X(514)-Dao conjugate of X(72405)
X(72406) = barycentric quotient X(1086)/X(72405)
X(72406) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3008, 72405}, {8, 62398, 72405}, {10, 3912, 72405}, {239, 1125, 72405}, {551, 41140, 72405}, {1698, 49765, 72405}, {1737, 70774, 72405}, {3624, 50019, 72405}, {3626, 17266, 72405}, {3634, 6542, 72405}, {3635, 29607, 72405}, {3636, 29590, 72405}, {3661, 49769, 72405}, {3679, 41141, 72405}, {3741, 30109, 72405}, {3828, 17310, 72405}, {3840, 49774, 72405}, {4384, 49768, 72405}, {4871, 57038, 72405}, {6633, 62630, 72405}, {6685, 40859, 72405}, {6686, 10027, 72405}, {6700, 40863, 72405}, {16086, 20106, 72405}, {16831, 50022, 72405}, {17023, 50023, 72405}, {17308, 49766, 72405}, {19862, 49770, 72405}, {19878, 20016, 72405}, {20103, 40872, 72405}, {20108, 40886, 72405}, {20340, 70715, 72405}, {24603, 49764, 72405}, {25031, 62620, 72405}, {29571, 49772, 72405}, {29576, 49767, 72405}, {29603, 50020, 72405}, {29604, 32847, 72405}, {29612, 50021, 72405}, {29654, 68948, 72405}, {30059, 50605, 72405}, {30117, 40940, 72405}, {31191, 49771, 72405}, {39595, 60353, 72405}, {49761, 51073, 72405}, {49773, 62673, 72405}, {50024, 50752, 72405}

X(72407) = X(13)X(42788)∩X(14)X(1506)

Barycentrics    a^8 - 10*a^6*b^2 + 23*a^4*b^4 - 17*a^2*b^6 + 3*b^8 - 10*a^6*c^2 + 31*a^4*b^2*c^2 + 18*a^2*b^4*c^2 - 14*b^6*c^2 + 23*a^4*c^4 + 18*a^2*b^2*c^4 + 22*b^4*c^4 - 17*a^2*c^6 - 14*b^2*c^6 + 3*c^8 - 2*Sqrt[3]*(a^6 - 3*a^4*b^2 + b^6 - 3*a^4*c^2 - 7*a^2*b^2*c^2 - b^4*c^2 - b^2*c^4 + c^6)*S : : (Peter Moses, May 15, 2026)

Barycentrics    1 / (Sqrt[3]*(2*a^4 - 3*a^2*b^2 + b^4 - 3*a^2*c^2 - 4*b^2*c^2 + c^4) - 2*(b^2 + c^2)*S) : : (Peter Moses, May 15, 2026)

Barycentrics    1 / (Cot[A] + (3*Sqrt[3] + Cot[w])/(1 + Sqrt[3]*Cot[w])) : : (Peter Moses, May 15, 2026)

Benjamin Lee Warren and Francisco Javier García Capitán, euclid 9479.

X(72407) lies on the Kiepert circumhyperbola and these lines: {5, 11602}, {13, 42788}, {14, 1506}, {17, 5615}, {18, 59403}, {76, 16966}, {83, 6671}, {5487, 35689}, {6115, 11606}, {10187, 25555}, {11122, 37832}, {11272, 43539}, {12817, 52649}, {16242, 62877}, {16964, 54861}

X(72408) = X(13)X(1506)∩X(14)X(42788)

Barycentrics    1 / (Sqrt[3]*(2*a^4 - 3*a^2*b^2 + b^4 - 3*a^2*c^2 - 4*b^2*c^2 + c^4) + 2*(b^2 + c^2)*S) : : (Peter Moses, May 15, 2026)

Barycentrics    1/ (Cot[A] + (3*Sqrt[3] - Cot[w])/(-1 + Sqrt[3]*Cot[w])) : : (Peter Moses, May 15, 2026)

Benjamin Lee Warren and Francisco Javier García Capitán, euclid 9479.

X(72408) lies on the Kiepert circumhyperbola and these lines: {5, 11603}, {13, 1506}, {14, 42788}, {17, 59404}, {18, 5611}, {76, 16967}, {83, 6672}, {5488, 35688}, {6114, 11606}, {10188, 25555}, {11121, 37835}, {11272, 43538}, {12816, 44289}, {16241, 62876}, {16965, 54860}

X(72409) = (name pending)

Antreas Hatzipolakis and Ercole Suppa, euclid 9480.

X(72409) lies on the circumcircle and these lines: { }

X(72409) = intersection, other than A, B, C, of the circumconics : {{A, B, C, X (6), X (47588)}, {A, B, C, X (74), X (98)}, {A, B, C, X (13377), X (14490)}}

X(72410) = X(2)X(47589)∩X(381)X(31748)

Antreas Hatzipolakis and Ercole Suppa, euclid 9480.

X(72410) lies on these lines: {2, 47589}, {381, 31748}, {1656, 47591}, {3090, 47590}, {3545, 13378}, {3839, 11645}, {5056, 47592}, {14866, 50729}, {46732, 61985}

X(72410) = reflection of X(i) in X(j) for these {i,j}: {13378, 3545}
X(72410) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 47589, 50730}

X(72411) = X(115)X(1499)∩X(187)X(524)

Antreas Hatzipolakis and Ercole Suppa, euclid 9499.

X(72411) lies on these lines: {32, 67227}, {115, 1499}, {187, 524}, {476, 843}, {512, 6791}, {542, 67371}, {620, 56429}, {1648, 5099}, {1691, 70601}, {2030, 15303}, {2549, 67717}, {3815, 53798}, {3849, 62293}, {5104, 43913}, {5215, 37745}, {5475, 9169}, {5913, 67557}, {6077, 45672}, {6388, 14858}, {7603, 9151}, {7746, 15098}, {8288, 35605}, {9181, 41672}, {10418, 50566}, {14916, 21843}, {15357, 44398}, {17964, 34806}, {26613, 62295}, {31173, 37746}, {32761, 48945}, {37637, 57312}

X(72411) = midpoint of X(843) and X(6792)
X(72411) = reflection of X(i) in X(j) for these {i,j} : {115, 67397}, {31173, 37746}, {44956, 32525}, {56429, 620}, {62373, 2030}
X(72411) = reflection of X(i) in the line X(j)X(k) for these {i,j,k} : {2482, 2, 1499}, {5477, 6, 1499}, {18800, 597, 1499}, {50567, 141, 1499}
X(72411) = foot of the perpendicular from X(i) to the line X(j)X(k) for these {i, j, k} : {115, 187, 2482}, {187, 115, 38395}, {1691, 8288, 35605}, {8288, 1691, 70601}
X(72411) = perspector of the circumconic through X(5468) and X(9123)
X(72411) = intersection, other than A, B, C, of the circumconics : {{A, B, C, X(476), X(9123)}, {A,B,C,X(524),X(26613)}, {A,B,C,X(1648),X(39785)},{A,B,C,X(2482),X(20382)}}
X(72411) = center of circle {X(843), X(5912), X(6792)}
X(72411) = pole of the line {2793, 5461} with respect to Kiepert hyperbola
X(72411) = pole of the line {111, 52239} with respect to Stammler hyperbola
X(72411) = pole of the line {125, 62293} with respect to orthoptic circle of Jerabek hyperbola
X(72411) = pole of tripolar of X(62672) with respect to orthoptic circle of Kiepert hyperbola
X(72411) = pole of the line {22110, 42008} with respect to dual conic of Wallace hyperbola
X(72411) = crossdifference of every pair of points on the line X(9124)X(9178)
X(72411) = barycentric product X(i)*X(j) for these (i,j): {690, 9123}, {1648, 26613}
X(72411) = barycentric quotient X(i)/X(j) for these (i,j) : {51, 9124}, {9123, 892}, {21906, 52239}, {26613, 52940}
X(72411) = trilinear product X(2642)*X(9123)
X(72411) = trilinear quotient X(i)/X(j) for these (i,j) : {2642, 9124}, {9123, 36085}

X(72412) = X(125)X(1499)∩X(468)X(524)

Antreas Hatzipolakis and Ercole Suppa, euclid 9499.

X(72412) lies on these lines: {30, 37746}, {115, 47587}, {125, 1499}, {373, 2679}, {468, 524}, {511, 47349}, {512, 57425}, {523, 6791}, {542, 32222}, {1316, 9169}, {1648, 5099}, {2696, 54012}, {2715, 2770}, {3258, 46659}, {5108, 61644}, {5912, 47200}, {5972, 67394}, {6077, 50567}, {7426, 18800}, {9125, 23992}, {10989, 43910}, {13857, 47574}, {15638, 51258}, {34806, 68315}, {37638, 57355}, {37648, 53805}, {43964, 45303}, {44114, 55148}, {44569, 64966}, {47004, 52038}, {47453, 70601}, {47455, 62373}, {48317, 63758}, {57345, 63128}, {61645, 67392}

X(72412) = midpoint of X(i) and X(j) for these {i,j}: {2770, 6792}, {7426, 62293}
X(72412) = reflection of X(i) in X(j) for these {i,j}: {125, 67398}, {31655, 32525}, {67394, 5972}
X(72412) = reflection of X(i) in the line X(j)X(k) for these {i,j,k}: {5095, 6, 1499}, {5181, 141, 1499}, {5642, 2, 1499}, {15303, 597, 1499}
X(72412) = foot of the perpendicular from X(i) to the line X(j)X(k) for these {i,j,k}: {37746, 6791, 67397}, {115, 7426, 18800}, {7426, 115, 47587}, {125, 468, 3292}, {468, 125, 2682}, {3258, 1316, 9169}, {1316, 3258, 46659}
X(72412) = perspector of the circumconic through X(4235) and X(23287)
X(72412) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(468),X(57604)}, {A,B,C,X(5095),X(20382)}, {A,B,C,X(44102),X(52238)}}
X(72412) = center of circle {X(2770), X(6792), X(67393)}
X(72412) = pole of the line {30786, 52236} with respect to Wallace hyperbola
X(72412) = pole of the line {125, 524} with respect to orthoptic circle of Jerabek hyperbola
X(72412) = pole of the line {115, 62373} with respect to orthoptic circle of Kiepert hyperbola
X(72412) = pole of the line {42008, 47097} with respect to dual conic of Wallace hyperbola
X(72412) = cross-difference of every pair of points on the line X(10097)X(32583)
X(72412) = barycentric product X(i)*X(j) for these (i, j): {524, 57604}, {52238, 52628}
X(72412) = barycentric quotient X(i)/X(j) for these (i, j): {1648, 52236}, {52238, 66929}, {57604, 671}
X(72412) = trilinear product X(896)*X(57604)
X(72412) = trilinear quotient X(897)/X(57504)
X(72412) = {X(468),X(47550)}-harmonic conjugate of X(5642)

X(72413) = X(1296)X(66615)∩X(8705)X(10098)

Antreas Hatzipolakis and Ivan Pavlov, euclid 9521.

X(72413) lies on the circumcircle and these lines: {1296, 66615}, {8705, 10098}, {11568, 55135}, {23699, 67731}

X(72413) = intersection, other than A, B, C, of circumconics {{A, B, C, X(64), X(30488)}}, {{A, B, C, X(74), X(98)}}, {{A, B, C, X(8705), X(43720)}}, {{A, B, C, X(54998), X(70363)}}

X(72414) = X(4)X(575)∩X(381)X(13378)

Antreas Hatzipolakis and Ivan Pavlov, euclid 9521.

X(72414) lies on these lines: {4, 575}, {381, 13378}, {524, 14866}, {1531, 13860}, {3832, 47590}, {3843, 46673}, {3845, 14856}, {3855, 47592}, {13168, 48895}, {40261, 58883}

X(72414) = midpoint of X(i) and X(j) for these {i,j}: {13378, 50730}
X(72414) = reflection of X(i) in X(j) for these {i,j}: {13378, 381}
X(72414) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {4, 47589, 31748}

X(72415) = X(4)X(263)∩X(115)X(512)

Antreas Hatzipolakis and Ivan Pavlov, euclid 9521.

X(72415) lies on these lines: {4, 263}, {30, 47638}, {51, 3845}, {115, 512}, {125, 2780}, {230, 32442}, {373, 3363}, {511, 8352}, {526, 16278}, {543, 6786}, {671, 6787}, {1084, 52625}, {2387, 39563}, {2869, 8754}, {3111, 5461}, {3124, 58754}, {3819, 66349}, {3917, 66392}, {4173, 44518}, {5077, 12525}, {5167, 53419}, {5650, 20326}, {6310, 33229}, {6321, 65748}, {6785, 14639}, {7615, 61689}, {7833, 67151}, {7841, 52658}, {8370, 34236}, {8597, 11673}, {9044, 64258}, {9166, 67630}, {9879, 14041}, {14135, 33249}, {22112, 45722}, {31848, 38734}, {32967, 58211}, {32984, 35687}, {33017, 34095}, {34417, 45723}, {34980, 41221}, {39691, 42068}, {40951, 69141}, {41135, 46303}, {43291, 67540}, {47287, 59571}, {56957, 69100}

X(72415) = midpoint of X(i) and X(j) for these {i,j}: {671, 6787}, {8597, 11673}, {9879, 33873}
X(72415) = reflection of X(i) in X(j) for these {i,j}: {3111, 5461}, {6784, 115}, {6786, 67215}, {32442, 230}, {65751, 6784}
X(72415) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4), X(6784)}}, {{A, B, C, X(263), X(65751)}}, {{A, B, C, X(52038), X(58754)}}
X(72415) = perspector of circumconic {{A, B, C, X(2395), X(31174)}}
X(72415) = pole of line {1499, 68786} with respect to the Jerabek hyperbola
X(72415) = pole of line {804, 68778} with respect to the Kiepert hyperbola
X(72415) = lies on inconic with perspector X(5651)
X(72415) = barycentric product X(i)*X(j) for these (i,J): {115, 5651}, {3124, 69380}, {4079, 69390}, {31174, 512}
X(72415) = barycentric quotient X(i)/X(j) for these (i,J): {5651, 4590}, {31174, 670}, {69380, 34537}, {69390, 52612}
X(72415) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {115, 512, 6784}, {512, 6784, 65751}, {543, 67215, 6786}, {671, 6787, 34383}, {9879, 14041, 33873}, {9879, 33873, 55005}

X(72416) = X(5)X(113)∩X(114)X(325)

Antreas Hatzipolakis and Ivan Pavlov, euclid 9521.

X(72416) lies on these lines: {4, 6331}, {5, 113}, {114, 325}, {147, 46303}, {446, 9155}, {542, 6784}, {568, 27374}, {1352, 61689}, {2682, 14915}, {2794, 3111}, {5025, 15072}, {5640, 13862}, {5650, 37451}, {6000, 33228}, {6033, 41330}, {6054, 6785}, {6656, 16836}, {7418, 36213}, {9862, 64490}, {11459, 37446}, {13240, 47353}, {23234, 67639}, {31850, 38745}, {33184, 64100}

X(72416) = midpoint of X(i) and X(j) for these {i,j}: {147, 46303}, {6033, 41330}, {6054, 6785}
X(72416) = reflection of X(i) in X(j) for these {i,j}: {6784, 67220}, {6786, 114}, {65748, 6786}, {65751, 41330}
X(72416) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4), X(6786)}}, {{A, B, C, X(325), X(43917)}}, {{A, B, C, X(6393), X(34087)}}
X(72416) = pole of line {888, 53149} with respect to the polar circle
X(72416) = pole of line {2023, 3003} with respect to the Kiepert hyperbola
X(72416) = pole of line {1976, 43574} with respect to the Stammler hyperbola
X(72416) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {114, 511, 6786}, {511, 6786, 65748}, {6054, 6785, 34383}

X(72417) = X(4)X(6335)∩X(119)X(517)

Antreas Hatzipolakis and Ivan Pavlov, euclid 9521.

X(72417) lies on these lines: {4, 6335}, {119, 517}, {125, 30444}, {2801, 25436}, {2807, 5587}, {2810, 10711}, {2818, 61729}, {2821, 14431}, {2829, 34583}, {3937, 10742}, {12248, 64489}, {18542, 23154}, {20400, 67420}, {29353, 68548}, {31849, 38757}, {38389, 67864}, {42448, 45631}, {53548, 56416}, {61674, 67216}

X(72417) = midpoint of X(i) and X(j) for these {i,j}: {10711, 61731}
X(72417) = reflection of X(i) in X(j) for these {i,j}: {61672, 119}, {61674, 67216}, {65743, 61672}
X(72417) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4), X(61672)}}, {{A, B, C, X(36798), X(51379)}}, {{A, B, C, X(51367), X(60288)}}
X(72417) = pole of line {891, 43933} with respect to the polar circle
X(72417) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {119, 517, 61672}, {517, 61672, 65743}, {10711, 61731, 2810}

X(72418) = X(4)X(145)∩X(118)X(516)

Antreas Hatzipolakis and Ivan Pavlov, euclid 9521.

X(72418) lies on these lines: {4, 145}, {118, 516}, {152, 68552}, {1565, 10741}, {5845, 10710}, {10727, 17044}, {28182, 36028}, {31851, 38769}

X(72418) = reflection of X(i) in X(j) for these {i,j}: {51406, 118}, {65745, 51406}
X(72418) = perspector of circumconic {{A, B, C, X(2398), X(65336)}}
X(72418) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4), X(51406)}}, {{A, B, C, X(516), X(6336)}}, {{A, B, C, X(910), X(36125)}}, {{A, B, C, X(1320), X(51376)}}, {{A, B, C, X(4080), X(51366)}}, {{A, B, C, X(63851), X(65745)}}
X(72418) = pole of line {900, 53150} with respect to the polar circle
X(72418) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {118, 516, 51406}, {516, 51406, 65745}, {1530, 1541, 1536}

X(72419) = X(2)X(11166)∩X(599)X(5094)

Antreas Hatzipolakis and Ivan Pavlov, euclid 9521.

X(72419) lies on these lines: {2, 11166}, {125, 11168}, {141, 12036}, {524, 10162}, {599, 5094}, {1992, 11056}, {3849, 13378}, {3906, 8371}, {5650, 17430}, {6791, 16509}, {8288, 15810}, {9829, 11645}, {9830, 10163}, {20582, 30749}, {31606, 31748}, {34795, 47589}, {44569, 59197}, {51389, 59780}

X(72419) = reflection of X(i) in X(j) for these {i,j}: {13378, 34512}, {30516, 2}, {50729, 30516}
X(72419) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3363), X(5094)}}, {{A, B, C, X(8541), X(11166)}}
X(72419) = pole of line {47352, 47587} with respect to the orthocentroidal circle
X(72419) = pole of line {8704, 31173} with respect to the Steiner inellipse
X(72419) = barycentric product X(3363)*X(599)
X(72419) = barycentric quotient X(3363)/X(598)
X(72419) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3849, 34512, 13378}

X(72420) = ASPIWALD POINT

The Aspiwald and Riedhus points appear together here: X(72420) and X(72421). Contributed by Markus Weyermann, May 19, 2026.

X(72420) lies on the Steiner inellipse and this line: {2, 7}

X(72420) = reflection of X(72421) in X(2)
X(72420) = X(3063)-complementary conjugate of X(72421)
X(72420) = X(36956)-Ceva conjugate of X(72421)
X(72420) = X(31648)-cross conjugate of X(72421)
X(72420) = X(24027)-isoconjugate of X(72421)
X(72420) = X(522)-Dao conjugate of X(72421)
X(72420) = barycentric quotient X(1146)/X(72421)
X(72420) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {7, 62388, 72421}, {9, 40869, 72421}, {57, 44356, 72421}, {142, 9436, 72421}, {226, 69026, 72421}, {1944, 5745, 72421}, {3452, 40880, 72421}, {3509, 5750, 72421}, {6666, 10025, 72421}, {6692, 40862, 72421}, {8558, 40942, 72421}, {17950, 58463, 72421}, {40868, 58433, 72421}

X(72421) = RIEDHUS POINT

The Aspiwald and Riedhus points appear together here: X(72420) and X(72421). Contributed by Markus Weyermann, May 19, 2026.

X(72421) lies on the Steiner inellipse and this line: {2, 7}

X(72421) = reflection of X(72420) in X(2)
X(72421) = X(3063)-complementary conjugate of X(72420)
X(72421) = X(36956)-Ceva conjugate of X(72420)
X(72421) = X(31648)-cross conjugate of X(72420)
X(72421) = X(24027)-isoconjugate of X(72420)
X(72421) = X(522)-Dao conjugate of X(72420)
X(72421) = barycentric quotient X(1146)/X(72420)
X(72421) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {7, 62388, 72420}, {9, 40869, 72420}, {57, 44356, 72420}, {142, 9436, 72420}, {226, 69026, 72420}, {1944, 5745, 72420}, {3452, 40880, 72420}, {3509, 5750, 72420}, {6666, 10025, 72420}, {6692, 40862, 72420}, {8558, 40942, 72420}, {17950, 58463, 72420}, {40868, 58433, 72420}

X(72422) = X(2)X(9291)∩X(4)X(290)

Antreas Hatzipolakis and Ercole Suppa, euclid 9541.

X(72422) lies on these lines: {2, 9291}, {4, 290}, {20, 16089}, {69, 57677}, {76, 1093}, {107, 37465}, {194, 47739}, {253, 264}, {276, 3090}, {311, 59139}, {317, 42355}, {381, 42368}, {393, 2998}, {683, 6524}, {1235, 52661}, {1975, 15143}, {2052, 2996}, {5071, 55079}, {6331, 6337}, {6530, 44144}, {8795, 15077}, {11185, 62274}, {13450, 44146}, {14618, 53173}, {16081, 64983}, {18817, 59428}, {22456, 53783}, {27376, 42359}, {40680, 68535}, {52448, 62949}

X(72422) = polar conjugate of X(51336)
X(72422) = lies on all circumconics with perspector on the line {30476, 40887}
X(72422) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(4),X(1968)}, {A,B,C,X(69),X(59527)}, {A,B,C,X(253),X(290)}, {A,B,C,X(263),X(40951)}, {A,B,C,X(6526),X(57677)}}
X(72422) = pole of tripolar of X(51336) with respect to polar circle
X(72422) = pole of the line {16229, 62521} with respect to Steiner circumellipse
X(72422) = pole of the line {417, 10607} with respect to Wallace hyperbola
X(72422) = trilinear pole of line {X(30476), X(40887)}
X(72422) = barycentric product X(i)*X(j) for these (i, j): {264, 9308}, {290, 40887}, {823, 17893}, {1957, 1969}, {1958, 57806}, {1968, 18022}, {1975, 2052}, {6331, 16229}, {6528, 30476}, {9306, 18027}, {15143, 60199}, {17478, 57973}
X(72422) = barycentric quotient X(i)/X(j) for these (i, j): {4, 51336}, {92, 9255}, {158, 9258}, {264, 9289}, {393, 9292}, {1957, 48}, {1958, 255}, {1968, 184}, {1975, 394}, {2052, 9307}, {2451, 39201}, {2996, 60834}, {6528, 43188}, {9306, 577}, {9308, 3}, {15143, 3289}, {15352, 65837}, {16229, 647}, {17215, 4091}, {17478, 822}, {17893, 24018}, {22089, 32320}, {30476, 520}, {37199, 3167}, {40887, 511}, {59527, 6509}, {59561, 22401}, {60841, 60833}, {64983, 43727}
X(72422) = trilinear product X(i)*X(j) for these (i, j): {92, 9308}, {107, 17893}, {158, 1975}, {264, 1957}, {811, 16229}, {821, 59527}, {823, 30476}, {1821, 40887}, {1958, 2052}, {1968, 1969}, {2451, 57973}, {6528, 17478}, {9306, 57806}
X(72422) = trilinear quotient X(i)/X(j) for these (i, j): {48, 9308}, {92, 51336}, {158, 9292}, {184, 1957}, {255, 1975}, {264, 9255}, {520, 17893}, {577, 1958}, {810, 16229}, {820, 59527}, {822, 30476}, {1755, 40887}, {1968, 9247}, {1969, 9289}, {2052, 9258}, {9306, 52430}, {9307, 57806}, {17215, 23224}, {17478, 39201}, {43188, 57973}
X(72422) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6528, 18027, 4}, {9291, 62576, 2}

X(72423) = X(1)X(104)∩X(214)X(6796)

Marian Cucoanes and Francisco Javier García Capitán, euclid 9545.

X(72423) lies on these lines: {1, 104}, {80, 63963}, {100, 54192}, {119, 30144}, {214, 6796}, {515, 6265}, {946, 12740}, {952, 12607}, {1385, 58591}, {1482, 12332}, {1537, 7354}, {2771, 11567}, {2829, 19907}, {3244, 12616}, {3870, 6264}, {4511, 12751}, {5303, 11014}, {5538, 64136}, {5882, 12739}, {5903, 18861}, {6224, 48482}, {6326, 56387}, {6713, 30147}, {10057, 67856}, {10246, 22775}, {10265, 64163}, {11011, 17654}, {12114, 48667}, {12761, 64762}, {12762, 37733}, {12831, 64191}, {19860, 38133}, {19914, 64763}, {21740, 64145}, {22799, 40264}, {26087, 64118}, {26287, 38722}, {30143, 38032}, {32905, 66641}, {33858, 54198}, {34789, 36975}, {37533, 64137}, {39542, 64192}, {39778, 47034}, {40259, 59391}, {40260, 64008}, {46684, 61146}, {56105, 64265}, {64953, 66058}

X(72424) = X(1)X(104)∩X(6265)X(63964)

Marian Cucoanes and Francisco Javier García Capitán, euclid 9545.

X(72424) lies on these lines: {1, 104}, {6265, 63964}, {12761, 40257}, {20586, 32905}, {38722, 46920}, {63980, 64742}

X(72425) = X(1)X(3)∩X(946)X(61149)

Marian Cucoanes and Francisco Javier García Capitán, euclid 9545.

X(72425) lies on these lines: {1, 3}, {946, 61149}

Points related to a Miquel-like construction: X(72426)-X(72469)

X(72426) = X(2)X(220)∩X(78)X(64438)

X(72426) lies on these lines: {2, 220}, {78, 64438}, {329, 61373}, {1174, 3452}, {1229, 3699}, {2346, 63168}, {6692, 39669}, {6745, 10482}

X(72426) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1475, 56262}, {34525, 61376}, {46006, 63203}
X(72426) = X(i)-Dao conjugate of X(j) for these {i, j}: {15348, 1212}
X(72426) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(52457)}}, {{A, B, C, X(220), X(34526)}}, {{A, B, C, X(5228), X(54408)}}, {{A, B, C, X(6604), X(51567)}}
X(72426) = barycentric product X(i)*X(j) for these (i, j): {31618, 34526}, {32008, 52457}, {54408, 57815}
X(72426) = barycentric quotient X(i)/X(j) for these (i, j): {2346, 56262}, {6605, 34525}, {34526, 1212}, {52457, 142}, {54408, 354}
X(72426) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 62728, 1170}

X(72427) = X(2)X(1171)∩X(226)X(6539)

X(72427) lies on these lines: {2, 1171}, {226, 6539}, {1126, 3454}, {1211, 1268}, {1230, 1978}, {1255, 3936}, {1999, 31013}, {6693, 39670}, {17778, 40438}, {24912, 27141}, {26840, 34528}

X(72427) = X(i)-Dao conjugate of X(j) for these {i, j}: {15349, 1213}
X(72427) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(34528)}}, {{A, B, C, X(226), X(1509)}}, {{A, B, C, X(42066), X(51311)}}
X(72427) = barycentric product X(i)*X(j) for these (i, j): {1268, 56949}, {26840, 6539}, {32014, 34528}
X(72427) = barycentric quotient X(i)/X(j) for these (i, j): {1268, 18812}, {6539, 34527}, {9560, 20970}, {26840, 8025}, {34528, 1213}, {38408, 3686}, {42066, 1962}, {56949, 1125}
X(72427) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 31064, 1171}

X(72428) = COMPLEMENT OF X(459)

X(72428) lies on these lines: {2, 253}, {3, 1661}, {20, 33893}, {39, 46829}, {69, 37877}, {114, 30771}, {122, 154}, {184, 37072}, {381, 6760}, {394, 62569}, {440, 44736}, {441, 6337}, {468, 71193}, {631, 40675}, {1368, 7710}, {1853, 34147}, {2060, 15005}, {2482, 39020}, {2972, 37453}, {3079, 71235}, {3346, 6621}, {3526, 14059}, {3534, 10745}, {5745, 17073}, {5895, 63640}, {5976, 43188}, {6353, 34815}, {6503, 6617}, {6509, 59767}, {6523, 55304}, {6525, 71244}, {6638, 46094}, {7011, 55063}, {7494, 40174}, {11165, 54075}, {11589, 64714}, {13567, 62346}, {14379, 64024}, {15576, 58424}, {15905, 37669}, {16596, 17917}, {18623, 40616}, {20265, 23292}, {21482, 40592}, {26958, 40995}, {27089, 66752}, {30517, 68058}, {33364, 55885}, {33365, 55890}, {34403, 37878}, {36949, 55113}, {37188, 51579}, {44436, 52032}, {46065, 70979}, {53506, 68441}, {53852, 61680}, {54746, 60137}, {59551, 68744}

X(72428) = midpoint of X(i) and X(j) for these {i,j}: {459, 68006}, {3079, 71235}
X(72428) = complement of X(459)
X(72428) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1973, 34410}, {2155, 18848}, {46005, 65224}
X(72428) = X(i)-Dao conjugate of X(j) for these {i, j}: {1562, 523}, {6337, 34410}, {26958, 2}, {45245, 18848}, {45248, 41894}, {46432, 39268}, {63640, 1249}
X(72428) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 26958}, {99, 8057}, {40995, 63640}
X(72428) = X(i)-complementary conjugate of X(j) for these {i, j}: {20, 20305}, {31, 26958}, {48, 4}, {63, 23332}, {154, 226}, {163, 8057}, {184, 1427}, {204, 13567}, {255, 20208}, {394, 20309}, {577, 52389}, {603, 18634}, {610, 5}, {822, 13611}, {1249, 63840}, {1394, 16608}, {1415, 14302}, {1895, 71185}, {3172, 24005}, {4100, 53844}, {7070, 41883}, {7156, 15849}, {8057, 21253}, {9247, 800}, {15905, 10}, {18750, 21243}, {19614, 71188}, {32660, 57101}, {35602, 18589}, {36413, 20308}, {36841, 21259}, {37669, 2887}, {42658, 8287}, {52430, 46831}, {52948, 62583}, {58796, 34846}
X(72428) = X(i)-cross conjugate of X(j) for these {i, j}: {5895, 40995}
X(72428) = pole of line {8778, 11413} with respect to the Stammler hyperbola
X(72428) = pole of line {8057, 15427} with respect to the Steiner inellipse
X(72428) = pole of line {459, 34410} with respect to the Wallace hyperbola
X(72428) = pole of line {20580, 58759} with respect to the dual conic of polar circle
X(72428) = pole of line {4, 1192} with respect to the dual conic of Moses HK-parabola
X(72428) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(51347)}}, {{A, B, C, X(3), X(57483)}}, {{A, B, C, X(20), X(14572)}}, {{A, B, C, X(253), X(40170)}}, {{A, B, C, X(394), X(52514)}}, {{A, B, C, X(459), X(5895)}}, {{A, B, C, X(1249), X(37878)}}, {{A, B, C, X(15905), X(41489)}}, {{A, B, C, X(37197), X(45200)}}
X(72428) = barycentric product X(i)*X(j) for these (i, j): {20, 40995}, {1204, 14615}, {5895, 69}, {26958, 37669}, {35510, 63640}, {52913, 65829}
X(72428) = barycentric quotient X(i)/X(j) for these (i, j): {20, 18848}, {69, 34410}, {1204, 64}, {5895, 4}, {15905, 41894}, {26958, 459}, {37197, 6526}, {40995, 253}, {42658, 46005}, {46432, 41489}, {63640, 3146}
X(72428) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 1073, 20208}, {2, 1249, 20207}, {2, 17037, 14572}, {2, 68006, 459}, {122, 154, 71253}, {16252, 59361, 3}, {20203, 20204, 2}, {37669, 45200, 15905}

X(72429) = X(2)X(40405)∩X(6)X(35219)

X(72429) lies on these lines: {2, 40405}, {6, 35219}, {39, 19626}

X(72429) = X(i)-isoconjugate-of-X(j) for these {i, j}: {10603, 18671}, {17872, 63179}, {21406, 63181}
X(72429) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(62702)}}, {{A, B, C, X(6), X(10602)}}, {{A, B, C, X(19626), X(53059)}}, {{A, B, C, X(24855), X(39389)}}
X(72429) = barycentric product X(i)*X(j) for these (i, j): {10602, 40413}, {16051, 57388}, {40405, 62702}
X(72429) = barycentric quotient X(i)/X(j) for these (i, j): {10602, 1368}, {40413, 10604}, {57388, 10603}, {62702, 5254}

X(72430) = X(2)X(34400)∩X(92)X(223)

X(72430) lies on these lines: {2, 34400}, {92, 223}, {947, 6260}, {5739, 40417}, {18228, 55987}, {26871, 38015}

X(72430) = X(i)-Dao conjugate of X(j) for these {i, j}: {3086, 20262}
X(72430) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(38015)}}, {{A, B, C, X(92), X(26871)}}, {{A, B, C, X(54284), X(63962)}}
X(72430) = barycentric product X(i)*X(j) for these (i, j): {40417, 63962}
X(72430) = barycentric quotient X(i)/X(j) for these (i, j): {38015, 20262}, {40417, 34413}, {63962, 946}

X(72431) = X(2)X(1172)∩X(3)X(5327)

X(72431) lies on circumconic {{A, B, C, X(7106), X(56269)}} and on these lines: {2, 1172}, {3, 5327}, {7, 68711}, {27, 18588}, {86, 2193}, {284, 18589}, {1040, 17188}, {1812, 27509}, {1944, 7106}, {3100, 11103}, {36027, 69817}, {68733, 69793}

X(72432) = X(2)X(261)∩X(442)X(961)

X(72432) lies on these lines: {2, 261}, {442, 961}, {651, 1211}, {1427, 1441}, {2298, 17056}, {2363, 26131}, {2475, 40452}, {3822, 60086}, {21907, 30710}, {37797, 64984}

X(72432) = intersection, other than A, B, C, of circumconics {{A, B, C, X(261), X(1441)}}, {{A, B, C, X(593), X(1427)}}, {{A, B, C, X(31993), X(44782)}}
X(72432) = barycentric product X(i)*X(j) for these (i, j): {31643, 44782}
X(72432) = barycentric quotient X(i)/X(j) for these (i, j): {37564, 4267}, {44782, 960}

X(72433) = X(2)X(39)∩X(6)X(36793)

X(72433) lies on these lines: {2, 39}, {6, 36793}, {23, 54412}, {264, 5169}, {339, 5094}, {340, 16063}, {427, 18018}, {858, 41009}, {7493, 44146}, {7519, 58782}, {7782, 37978}, {30737, 31099}, {38323, 58846}, {40009, 69208}, {40856, 57496}, {43754, 52145}, {52041, 62911}

X(72433) = pole of line {2489, 42659} with respect to the polar circle
X(72433) = pole of line {9979, 47125} with respect to the MacBeath inconic
X(72433) = pole of line {6, 58357} with respect to the Wallace hyperbola
X(72433) = pole of line {1368, 18018} with respect to the dual conic of Moses HK-parabola
X(72433) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(63129)}}, {{A, B, C, X(264), X(37804)}}, {{A, B, C, X(3926), X(18019)}}, {{A, B, C, X(7827), X(54682)}}, {{A, B, C, X(18018), X(34254)}}, {{A, B, C, X(58075), X(62911)}}
X(72433) = barycentric product X(i)*X(j) for these (i, j): {63129, 76}
X(72433) = barycentric quotient X(i)/X(j) for these (i, j): {63129, 6}
X(72433) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3266, 8024, 3926}

X(72434) = ISOTOMIC CONJUGATE OF X(56361)

X(72434) lies on these lines: {2, 216}, {22, 61381}, {76, 13579}, {305, 23962}, {338, 394}, {401, 63835}, {599, 57811}, {847, 11585}, {1370, 44145}, {1993, 41760}, {1994, 7894}, {2970, 30771}, {3135, 45847}, {3260, 6515}, {7391, 43976}, {11140, 54496}, {11433, 44136}, {14615, 45794}, {14978, 66607}, {15066, 63763}, {15108, 44149}, {15526, 63842}, {17811, 45793}, {37192, 44131}

X(72434) = isotomic conjugate of X(56361)
X(72434) = X(i)-isoconjugate-of-X(j) for these {i, j}: {19, 44405}, {31, 56361}
X(72434) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 56361}, {6, 44405}, {3548, 1609}
X(72434) = pole of line {16229, 65457} with respect to the Orthic inconic
X(72434) = pole of line {577, 44405} with respect to the Stammler hyperbola
X(72434) = pole of line {394, 8553} with respect to the Wallace hyperbola
X(72434) = pole of line {5, 847} with respect to the dual conic of Moses HK-parabola
X(72434) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(3548)}}, {{A, B, C, X(393), X(13579)}}, {{A, B, C, X(2986), X(11547)}}, {{A, B, C, X(16237), X(65309)}}
X(72434) = barycentric product X(i)*X(j) for these (i, j): {264, 3548}, {1502, 44527}, {44752, 55553}
X(72434) = barycentric quotient X(i)/X(j) for these (i, j): {2, 56361}, {3, 44405}, {3548, 3}, {44527, 32}, {44752, 1147}
X(72434) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {338, 394, 5392}

X(72435) = X(2)X(32)∩X(308)X(3314)

X(72435) lies on these lines: {2, 32}, {308, 3314}, {325, 16890}, {694, 16893}, {1180, 33734}, {1916, 4609}, {3060, 24256}, {3978, 63797}, {5103, 5133}, {5149, 6636}, {6033, 7467}, {7776, 52580}, {7778, 51862}, {7868, 18092}, {7922, 52570}, {30505, 60213}, {46104, 62954}

X(72435) = pole of line {3589, 62301} with respect to the Kiepert hyperbola
X(72435) = pole of line {141, 56915} with respect to the Wallace hyperbola
X(72435) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(44160)}}, {{A, B, C, X(32), X(1916)}}, {{A, B, C, X(1078), X(60213)}}, {{A, B, C, X(4609), X(17941)}}, {{A, B, C, X(7787), X(60105)}}, {{A, B, C, X(7808), X(62891)}}, {{A, B, C, X(7812), X(54841)}}, {{A, B, C, X(8024), X(8623)}}, {{A, B, C, X(8150), X(42006)}}, {{A, B, C, X(12150), X(14492)}}, {{A, B, C, X(39603), X(43529)}}, {{A, B, C, X(40016), X(56976)}}, {{A, B, C, X(44771), X(64947)}}
X(72435) = barycentric product X(i)*X(j) for these (i, j): {308, 32452}, {14970, 44771}
X(72435) = barycentric quotient X(i)/X(j) for these (i, j): {32452, 39}, {44771, 732}, {52618, 30492}
X(72435) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 1369, 8623}, {2, 20022, 251}, {325, 16890, 62696}

X(72436) = X(2)X(594)∩X(333)X(7110)

X(72436) lies on these lines: {2, 594}, {333, 7110}, {1329, 32635}, {3218, 60139}, {4359, 15455}, {5949, 26842}, {25639, 57419}, {33670, 52367}, {52361, 65048}

X(72436) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2308, 64991}
X(72436) = X(i)-Dao conjugate of X(j) for these {i, j}: {13089, 1100}
X(72436) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(26842)}}, {{A, B, C, X(333), X(3969)}}, {{A, B, C, X(594), X(5949)}}, {{A, B, C, X(3337), X(20182)}}, {{A, B, C, X(4997), X(55095)}}
X(72436) = barycentric product X(i)*X(j) for these (i, j): {26842, 4102}
X(72436) = barycentric quotient X(i)/X(j) for these (i, j): {1255, 64991}, {1268, 64990}, {3337, 32636}, {11263, 3649}, {12913, 41551}, {13089, 45065}, {26842, 553}, {32635, 7161}, {52126, 3647}

X(72437) = X(2)X(2256)∩X(92)X(282)

X(72437) lies on these lines: {2, 2256}, {92, 282}, {226, 40444}, {946, 57422}, {1125, 1167}, {8583, 56259}, {9776, 63185}, {17862, 44327}

X(72437) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1108, 42019}, {1864, 53995}, {40958, 56354}
X(72437) = X(i)-Dao conjugate of X(j) for these {i, j}: {3554, 18239}, {38015, 1210}, {49171, 1108}
X(72437) = pole of line {1167, 6700} with respect to the dual conic of Yff parabola
X(72437) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(3086)}}, {{A, B, C, X(92), X(26871)}}, {{A, B, C, X(226), X(1519)}}, {{A, B, C, X(282), X(6512)}}, {{A, B, C, X(2256), X(3554)}}
X(72437) = barycentric product X(i)*X(j) for these (i, j): {3086, 40424}, {26871, 40444}, {40399, 54284}
X(72437) = barycentric quotient X(i)/X(j) for these (i, j): {1167, 42019}, {1519, 1532}, {3086, 1210}, {3554, 1108}, {24005, 21933}, {30223, 1864}, {40399, 56354}, {49171, 18239}, {54284, 17862}, {63185, 56287}, {63399, 1071}, {63962, 6260}

X(72438) = X(2)X(101)∩X(100)X(812)

X(72438) lies on these lines: {2, 101}, {100, 812}, {190, 4120}, {514, 14513}, {649, 4998}, {651, 21758}, {664, 6545}, {666, 4893}, {824, 51562}, {901, 4785}, {918, 70752}, {1252, 3835}, {1635, 57018}, {2786, 15343}, {3570, 35008}, {3667, 68139}, {3732, 6546}, {4076, 68131}, {4106, 14589}, {4382, 54110}, {4595, 6632}, {4728, 40865}, {5375, 25666}, {6008, 67445}, {9318, 60782}, {9458, 24685}, {17780, 23888}, {20295, 41405}, {21297, 51357}, {21362, 68822}, {24318, 70781}, {24324, 70997}, {28851, 37143}, {47760, 52985}

X(72438) = trilinear pole of line {24281, 36267}
X(72438) = pole of line {4482, 23887} with respect to the Steiner circumellipse
X(72438) = pole of line {4414, 4419} with respect to the Yff parabola
X(72438) = intersection, other than A, B, C, of circumconics {{A, B, C, X(675), X(35008)}}, {{A, B, C, X(2224), X(35009)}}
X(72438) = barycentric product X(i)*X(j) for these (i, j): {190, 24281}, {36267, 668}
X(72438) = barycentric quotient X(i)/X(j) for these (i, j): {24281, 514}, {36267, 513}
X(72438) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {20295, 43986, 41405}

X(72439) = ISOGONAL CONJUGATE OF X(71238)

X(72439) lies on these lines: {60, 181}, {594, 7058}, {1211, 31620}, {5127, 33771}, {20959, 58982}, {21810, 33761}

X(72439) = isogonal conjugate of X(71238)
X(72439) = trilinear pole of line {42661, 42741}
X(72439) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 71238}, {12, 17440}, {65, 21014}, {181, 20882}, {2171, 4999}, {6358, 20959}, {21106, 21859}, {22056, 56285}
X(72439) = X(i)-vertex conjugate of X(j) for these {i, j}: {181, 72439}
X(72439) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 71238}, {40602, 21014}
X(72439) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 18772}, {48306, 6578}, {52326, 58982}
X(72439) = pole of line {21014, 71238} with respect to the Stammler hyperbola
X(72439) = isogonal conjugate of complement of isotomic conjugate of X(12)
X(72439) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(181)}}, {{A, B, C, X(60), X(7058)}}, {{A, B, C, X(81), X(249)}}, {{A, B, C, X(88), X(1171)}}, {{A, B, C, X(89), X(40214)}}, {{A, B, C, X(250), X(31623)}}, {{A, B, C, X(1175), X(14534)}}, {{A, B, C, X(20959), X(52326)}}, {{A, B, C, X(40395), X(40408)}}, {{A, B, C, X(54549), X(57659)}}
X(72439) = barycentric product X(i)*X(j) for these (i, j): {18772, 261}, {31620, 6}
X(72439) = barycentric quotient X(i)/X(j) for these (i, j): {6, 71238}, {60, 4999}, {284, 21014}, {2150, 17440}, {2185, 20882}, {18772, 12}, {31620, 76}, {31629, 65577}

X(72440) = ISOGONAL CONJUGATE OF X(20310)

X(72440) lies on these lines: {77, 2212}, {17257, 26658}

X(72440) = isogonal conjugate of X(20310)
X(72440) = trilinear pole of line {44408, 48136}
X(72440) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 20310}, {6, 23529}, {9, 12723}, {19, 71247}, {25, 71304}, {55, 71275}, {607, 34822}, {2299, 21915}
X(72440) = X(i)-vertex conjugate of X(j) for these {i, j}: {2212, 72440}
X(72440) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 20310}, {6, 71247}, {9, 23529}, {223, 71275}, {226, 21915}, {478, 12723}, {6505, 71304}
X(72440) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57393}, {6589, 934}
X(72440) = pole of line {20310, 71247} with respect to the Stammler hyperbola
X(72440) = isogonal conjugate of complement of isotomic conjugate of X(33)
X(72440) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(26658)}}, {{A, B, C, X(2), X(57498)}}, {{A, B, C, X(6), X(2212)}}, {{A, B, C, X(57), X(256)}}, {{A, B, C, X(77), X(23603)}}, {{A, B, C, X(81), X(801)}}, {{A, B, C, X(757), X(10509)}}, {{A, B, C, X(972), X(56265)}}, {{A, B, C, X(1014), X(34018)}}, {{A, B, C, X(1170), X(3451)}}, {{A, B, C, X(1444), X(37214)}}, {{A, B, C, X(7045), X(23618)}}, {{A, B, C, X(31618), X(63185)}}, {{A, B, C, X(40397), X(40409)}}, {{A, B, C, X(40403), X(56003)}}, {{A, B, C, X(40405), X(40407)}}, {{A, B, C, X(56328), X(63178)}}
X(72440) = barycentric product X(i)*X(j) for these (i, j): {57393, 7182}
X(72440) = barycentric quotient X(i)/X(j) for these (i, j): {1, 23529}, {3, 71247}, {6, 20310}, {56, 12723}, {57, 71275}, {63, 71304}, {77, 34822}, {1214, 21915}, {57393, 33}

X(72441) = ISOGONAL CONJUGATE OF X(20227)

X(72441) lies on these lines: {78, 1395}, {595, 3749}, {1708, 69045}, {4417, 23600}, {17776, 26685}, {41251, 69862}

X(72441) = isogonal conjugate of X(20227)
X(72441) = trilinear pole of line {4057, 15313}
X(72441) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 20227}, {6, 23536}, {7, 40969}, {25, 71303}, {57, 40962}, {608, 34823}
X(72441) = X(i)-vertex conjugate of X(j) for these {i, j}: {1395, 72441}
X(72441) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 20227}, {9, 23536}, {5452, 40962}, {6505, 71303}, {62647, 34823}
X(72441) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57394}, {6589, 100}
X(72441) = isogonal conjugate of complement of isotomic conjugate of X(34)
X(72441) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(34260)}}, {{A, B, C, X(2), X(943)}}, {{A, B, C, X(6), X(1395)}}, {{A, B, C, X(9), X(60206)}}, {{A, B, C, X(21), X(30710)}}, {{A, B, C, X(28), X(57749)}}, {{A, B, C, X(42), X(41251)}}, {{A, B, C, X(57), X(983)}}, {{A, B, C, X(63), X(30701)}}, {{A, B, C, X(78), X(23600)}}, {{A, B, C, X(81), X(83)}}, {{A, B, C, X(104), X(39694)}}, {{A, B, C, X(312), X(1812)}}, {{A, B, C, X(333), X(765)}}, {{A, B, C, X(940), X(40401)}}, {{A, B, C, X(1016), X(40399)}}, {{A, B, C, X(1174), X(14534)}}, {{A, B, C, X(1211), X(57646)}}, {{A, B, C, X(1222), X(2185)}}, {{A, B, C, X(1255), X(56045)}}, {{A, B, C, X(1257), X(34258)}}, {{A, B, C, X(1389), X(34527)}}, {{A, B, C, X(1396), X(20332)}}, {{A, B, C, X(1476), X(65057)}}, {{A, B, C, X(2258), X(2298)}}, {{A, B, C, X(2339), X(56179)}}, {{A, B, C, X(2346), X(37870)}}, {{A, B, C, X(2982), X(17743)}}, {{A, B, C, X(4567), X(32017)}}, {{A, B, C, X(26637), X(63010)}}, {{A, B, C, X(30831), X(37783)}}, {{A, B, C, X(34523), X(56234)}}, {{A, B, C, X(36100), X(59759)}}, {{A, B, C, X(36101), X(40012)}}, {{A, B, C, X(39696), X(42467)}}, {{A, B, C, X(40405), X(40407)}}, {{A, B, C, X(55939), X(57721)}}, {{A, B, C, X(55989), X(60167)}}, {{A, B, C, X(55991), X(64984)}}, {{A, B, C, X(56204), X(62929)}}, {{A, B, C, X(56354), X(65302)}}
X(72441) = barycentric product X(i)*X(j) for these (i, j): {3718, 57394}
X(72441) = barycentric quotient X(i)/X(j) for these (i, j): {1, 23536}, {6, 20227}, {41, 40969}, {55, 40962}, {63, 71303}, {78, 34823}, {57394, 34}

X(72442) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(35)

X(72442) lies on these lines: {79, 57395}

X(72442) = X(i)-isoconjugate-of-X(j) for these {i, j}: {35, 17443}, {42, 16718}, {2174, 25639}, {3219, 20961}, {6198, 22058}, {17104, 21018}
X(72442) = X(i)-Dao conjugate of X(j) for these {i, j}: {40592, 16718}, {56847, 21018}
X(72442) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57395}
X(72442) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(2166)}}, {{A, B, C, X(81), X(2986)}}, {{A, B, C, X(88), X(14534)}}, {{A, B, C, X(30588), X(40160)}}
X(72442) = barycentric product X(i)*X(j) for these (i, j): {20565, 57395}
X(72442) = barycentric quotient X(i)/X(j) for these (i, j): {79, 25639}, {81, 16718}, {2160, 17443}, {6186, 20961}, {8818, 21018}, {30690, 20886}, {52393, 17173}, {57395, 35}

X(72443) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(36)

X(72443) lies on these lines: {80, 52434}

X(72443) = trilinear pole of line {10260, 39200}
X(72443) = X(i)-isoconjugate-of-X(j) for these {i, j}: {36, 17444}, {42, 16719}, {1870, 22059}, {1983, 21112}, {3218, 20962}, {3724, 17174}, {3814, 7113}, {20887, 52434}
X(72443) = X(i)-vertex conjugate of X(j) for these {i, j}: {52434, 72443}
X(72443) = X(i)-Dao conjugate of X(j) for these {i, j}: {15898, 17444}, {40592, 16719}
X(72443) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57396}, {16685, 759}
X(72443) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(34535)}}, {{A, B, C, X(6), X(52434)}}, {{A, B, C, X(81), X(40393)}}, {{A, B, C, X(88), X(2988)}}, {{A, B, C, X(1016), X(1168)}}, {{A, B, C, X(4358), X(14584)}}, {{A, B, C, X(23617), X(67178)}}, {{A, B, C, X(32851), X(60071)}}
X(72443) = barycentric product X(i)*X(j) for these (i, j): {20566, 57396}
X(72443) = barycentric quotient X(i)/X(j) for these (i, j): {80, 3814}, {81, 16719}, {2161, 17444}, {6187, 20962}, {18359, 20887}, {24624, 17174}, {52431, 22059}, {57396, 36}, {66284, 21112}

X(72444) = ISOGONAL CONJUGATE OF X(16587)

X(72444) lies on these lines: {6, 4577}, {82, 662}, {256, 66931}, {257, 7104}, {733, 40729}, {757, 39179}, {1432, 52376}, {20964, 36081}, {27447, 52394}, {28369, 40850}, {52979, 63359}

X(72444) = isogonal conjugate of X(16587)
X(72444) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 16587}, {2, 40936}, {37, 71074}, {38, 2295}, {39, 1215}, {42, 16720}, {75, 21752}, {86, 21818}, {92, 22367}, {141, 20964}, {171, 3954}, {172, 15523}, {427, 22061}, {826, 69894}, {894, 21035}, {1237, 3051}, {1401, 4095}, {1840, 3917}, {1843, 4019}, {1909, 21814}, {1920, 41267}, {1964, 3963}, {2084, 69896}, {2329, 69668}, {2330, 69667}, {2530, 61164}, {2533, 46148}, {3005, 18047}, {3688, 4032}, {3955, 21016}, {4093, 30669}, {4128, 61406}, {4140, 46153}, {4367, 35309}, {4553, 57234}, {4568, 7234}, {4579, 8061}, {8041, 18099}, {8623, 43534}, {16696, 21803}, {17187, 21021}, {21123, 69897}, {46159, 69580}, {62418, 69895}
X(72444) = X(i)-vertex conjugate of X(j) for these {i, j}: {1964, 72444}
X(72444) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 16587}, {206, 21752}, {22391, 22367}, {32664, 40936}, {40589, 71074}, {40592, 16720}, {40600, 21818}, {41884, 3963}, {62452, 69896}
X(72444) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 1178}, {7252, 827}, {8632, 36081}, {16695, 689}, {21772, 9076}, {71124, 39276}
X(72444) = pole of line {2236, 16587} with respect to the Stammler hyperbola
X(72444) = pole of line {16587, 16720} with respect to the Wallace hyperbola
X(72444) = isogonal conjugate of complement of isotomic conjugate of X(38)
X(72444) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(1964)}}, {{A, B, C, X(58), X(719)}}, {{A, B, C, X(81), X(745)}}, {{A, B, C, X(82), X(39179)}}, {{A, B, C, X(256), X(257)}}, {{A, B, C, X(593), X(20332)}}, {{A, B, C, X(662), X(757)}}, {{A, B, C, X(983), X(60686)}}, {{A, B, C, X(985), X(1582)}}, {{A, B, C, X(1438), X(1509)}}, {{A, B, C, X(1927), X(7104)}}, {{A, B, C, X(8632), X(20964)}}
X(72444) = barycentric product X(i)*X(j) for these (i, j): {256, 52394}, {257, 52376}, {1178, 3112}, {1581, 71124}, {5009, 69999}, {10566, 4603}, {14970, 69887}, {17493, 39276}, {18082, 7303}, {18108, 4594}, {27805, 39179}, {30940, 733}, {32010, 82}, {33295, 43763}, {40432, 83}, {41209, 659}
X(72444) = barycentric quotient X(i)/X(j) for these (i, j): {6, 16587}, {31, 40936}, {32, 21752}, {58, 71074}, {81, 16720}, {82, 1215}, {83, 3963}, {184, 22367}, {213, 21818}, {251, 2295}, {256, 15523}, {805, 52922}, {827, 4579}, {893, 3954}, {904, 21035}, {1178, 38}, {1431, 69668}, {1432, 69667}, {3112, 1237}, {4577, 69896}, {4599, 18047}, {4603, 4568}, {4628, 61164}, {4630, 69895}, {5009, 2236}, {7104, 21814}, {7249, 69665}, {7303, 16887}, {18098, 21021}, {18108, 2533}, {30940, 35540}, {32010, 1930}, {33295, 67160}, {34055, 4019}, {34072, 69894}, {39179, 4369}, {39276, 30669}, {40432, 141}, {41209, 4583}, {43763, 43534}, {46289, 20964}, {52376, 894}, {52394, 1909}, {56245, 4095}, {61385, 4093}, {66931, 41267}, {69887, 732}, {69888, 8623}, {71124, 1966}, {71125, 70103}, {71397, 69580}

X(72445) = ISOGONAL CONJUGATE OF X(70254)

X(72445) lies on cubic K1183 and on these lines: {83, 3051}, {251, 3329}, {689, 20965}, {733, 31613}, {1501, 7878}, {5012, 52395}, {11205, 14970}, {14617, 41297}, {42037, 42288}, {56976, 57421}, {59249, 62991}

X(72445) = isogonal conjugate of X(70254)
X(72445) = trilinear pole of line {9494, 18105}
X(72445) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 70254}, {38, 20965}, {39, 17445}, {75, 42548}, {82, 59167}, {92, 23210}, {141, 70346}, {1923, 70261}, {1964, 3934}, {3051, 20889}, {4553, 70350}, {4568, 70349}, {16696, 70354}, {16887, 70353}, {17176, 21814}, {17442, 22062}, {18092, 72112}
X(72445) = X(i)-vertex conjugate of X(j) for these {i, j}: {3051, 72445}
X(72445) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 70254}, {141, 59167}, {206, 42548}, {22391, 23210}, {41884, 3934}
X(72445) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 42346}, {669, 689}, {3050, 827}, {10191, 2}, {39968, 31622}, {51983, 733}
X(72445) = pole of line {42548, 59167} with respect to the Stammler hyperbola
X(72445) = isogonal conjugate of complement of isotomic conjugate of X(39)
X(72445) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(3329)}}, {{A, B, C, X(6), X(703)}}, {{A, B, C, X(76), X(7878)}}, {{A, B, C, X(83), X(251)}}, {{A, B, C, X(275), X(30535)}}, {{A, B, C, X(593), X(20332)}}, {{A, B, C, X(598), X(44176)}}, {{A, B, C, X(669), X(20965)}}, {{A, B, C, X(732), X(11205)}}, {{A, B, C, X(3108), X(34537)}}, {{A, B, C, X(3114), X(39955)}}, {{A, B, C, X(3225), X(34572)}}, {{A, B, C, X(4577), X(31614)}}, {{A, B, C, X(5012), X(70898)}}, {{A, B, C, X(9076), X(40163)}}, {{A, B, C, X(10014), X(51951)}}, {{A, B, C, X(18828), X(53080)}}, {{A, B, C, X(31630), X(39968)}}, {{A, B, C, X(34536), X(40393)}}, {{A, B, C, X(37876), X(40016)}}, {{A, B, C, X(39287), X(41296)}}, {{A, B, C, X(40815), X(62896)}}, {{A, B, C, X(56976), X(59180)}}
X(72445) = barycentric product X(i)*X(j) for these (i, j): {251, 31630}, {308, 42346}, {31622, 6}, {39968, 83}, {58118, 58784}
X(72445) = barycentric quotient X(i)/X(j) for these (i, j): {6, 70254}, {32, 42548}, {39, 59167}, {82, 17445}, {83, 3934}, {184, 23210}, {251, 20965}, {308, 70261}, {1176, 22062}, {3112, 20889}, {10566, 21113}, {18082, 21022}, {31613, 8041}, {31622, 76}, {31630, 8024}, {39968, 141}, {42346, 39}, {46104, 42394}, {46289, 70346}, {52394, 17176}, {52395, 18092}, {56186, 70355}, {58118, 4576}
X(72445) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {83, 42346, 31622}

X(72446) = ISOGONAL CONJUGATE OF X(40943)

X(72446) lies on these lines: {2, 34400}, {6, 66923}, {9, 7125}, {84, 947}, {189, 222}, {200, 255}, {280, 64069}, {282, 57418}, {285, 1437}, {346, 394}, {1433, 40396}, {1440, 34032}, {2287, 18604}, {14552, 40417}, {34404, 63068}, {40838, 63186}

X(72446) = isogonal conjugate of X(40943)
X(72446) = trilinear pole of line {23224, 39558}
X(72446) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 40943}, {9, 70229}, {19, 52097}, {40, 2262}, {196, 40945}, {198, 946}, {221, 20262}, {347, 40957}, {1856, 7011}, {2199, 23528}, {2331, 17102}, {6129, 61224}, {7952, 22063}, {14837, 61202}
X(72446) = X(i)-vertex conjugate of X(j) for these {i, j}: {2187, 72446}
X(72446) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 40943}, {6, 52097}, {478, 70229}, {3341, 20262}
X(72446) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 947}, {652, 65362}, {6586, 40117}, {57418, 55987}
X(72446) = pole of line {40943, 52097} with respect to the Stammler hyperbola
X(72446) = isogonal conjugate of complement of isotomic conjugate of X(40)
X(72446) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(9)}}, {{A, B, C, X(6), X(2187)}}, {{A, B, C, X(81), X(222)}}, {{A, B, C, X(189), X(271)}}, {{A, B, C, X(275), X(1170)}}, {{A, B, C, X(801), X(2985)}}, {{A, B, C, X(1032), X(65607)}}, {{A, B, C, X(1257), X(60114)}}, {{A, B, C, X(14534), X(29056)}}, {{A, B, C, X(34863), X(64211)}}, {{A, B, C, X(40396), X(57418)}}, {{A, B, C, X(44178), X(56346)}}, {{A, B, C, X(52037), X(68251)}}, {{A, B, C, X(56001), X(63068)}}, {{A, B, C, X(56220), X(60237)}}
X(72446) = barycentric product X(i)*X(j) for these (i, j): {189, 55987}, {271, 63186}, {309, 947}, {34404, 57418}, {40417, 84}
X(72446) = barycentric quotient X(i)/X(j) for these (i, j): {3, 52097}, {6, 40943}, {56, 70229}, {84, 946}, {280, 23528}, {282, 20262}, {947, 40}, {1433, 17102}, {1436, 2262}, {2188, 40945}, {7008, 1856}, {7118, 40957}, {32652, 61202}, {36049, 61224}, {40396, 7952}, {40417, 322}, {55987, 329}, {56195, 21075}, {57418, 223}, {63186, 342}, {68251, 68704}

X(72447) = ISOTOMIC CONJUGATE OF X(71265)

X(72447) lies on these lines: {85, 9447}, {23636, 34083}

X(72447) = isotomic conjugate of X(71265)
X(72447) = X(i)-isoconjugate-of-X(j) for these {i, j}: {31, 71265}, {41, 17447}, {42, 16721}, {55, 23636}, {92, 23211}, {607, 22064}, {2175, 17046}, {9447, 20890}, {21023, 57657}
X(72447) = X(i)-vertex conjugate of X(j) for these {i, j}: {9447, 72447}
X(72447) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 71265}, {223, 23636}, {3160, 17447}, {22391, 23211}, {40592, 16721}, {40593, 17046}, {62570, 21023}
X(72447) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57398}
X(72447) = pole of line {16721, 71265} with respect to the Wallace hyperbola
X(72447) = isogonal conjugate of complement of isotomic conjugate of X(41)
X(72447) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(9447)}}, {{A, B, C, X(57), X(2665)}}, {{A, B, C, X(2982), X(2985)}}, {{A, B, C, X(3112), X(34084)}}, {{A, B, C, X(40150), X(43190)}}, {{A, B, C, X(40397), X(40409)}}
X(72447) = barycentric product X(i)*X(j) for these (i, j): {20567, 57398}
X(72447) = barycentric quotient X(i)/X(j) for these (i, j): {2, 71265}, {7, 17447}, {57, 23636}, {77, 22064}, {81, 16721}, {85, 17046}, {184, 23211}, {1434, 18176}, {1441, 21023}, {6063, 20890}, {24002, 21114}, {57398, 41}, {57785, 17177}

X(72448) = ISOGONAL CONJUGATE OF X(63481)

X(72448) lies on these lines: {6, 32011}, {87, 2209}, {330, 2176}, {894, 23561}, {904, 71435}, {932, 22343}, {7153, 41526}, {17105, 36598}, {37677, 56197}

X(72448) = isogonal conjugate of X(63481)
X(72448) = trilinear pole of line {8640, 43931}
X(72448) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 63481}, {42, 16722}, {43, 17448}, {92, 23213}, {192, 22343}, {649, 25312}, {1403, 72188}, {2162, 59168}, {2176, 3840}, {2209, 20892}, {4083, 61235}, {18192, 20691}, {20979, 61183}, {21025, 38832}, {22167, 27644}, {69085, 72187}
X(72448) = X(i)-vertex conjugate of X(j) for these {i, j}: {2209, 72448}
X(72448) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 63481}, {5375, 25312}, {22391, 23213}, {40592, 16722}, {62574, 20892}, {63618, 21025}
X(72448) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57400}, {649, 932}
X(72448) = pole of line {16722, 63481} with respect to the Wallace hyperbola
X(72448) = isogonal conjugate of complement of isotomic conjugate of X(43)
X(72448) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(904)}}, {{A, B, C, X(57), X(3550)}}, {{A, B, C, X(87), X(330)}}, {{A, B, C, X(649), X(22343)}}, {{A, B, C, X(894), X(9506)}}, {{A, B, C, X(2226), X(55942)}}, {{A, B, C, X(14621), X(40151)}}, {{A, B, C, X(21760), X(23561)}}, {{A, B, C, X(23617), X(51866)}}, {{A, B, C, X(25417), X(37677)}}, {{A, B, C, X(30710), X(55971)}}, {{A, B, C, X(37128), X(40420)}}
X(72448) = barycentric product X(i)*X(j) for these (i, j): {32011, 87}, {57400, 6384}
X(72448) = barycentric quotient X(i)/X(j) for these (i, j): {6, 63481}, {43, 59168}, {81, 16722}, {87, 3840}, {100, 25312}, {184, 23213}, {330, 20892}, {932, 61183}, {2162, 17448}, {2319, 72188}, {7121, 22343}, {15373, 22066}, {16606, 21025}, {17105, 59676}, {23493, 22167}, {32011, 6376}, {34071, 61235}, {43931, 72187}, {56256, 3971}, {57400, 43}

X(72449) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(44)

X(72449) lies on these lines: {6, 54974}, {88, 2251}, {4555, 50028}, {4792, 40091}, {4945, 32012}

X(72449) = trilinear pole of line {4491, 23352}
X(72449) = X(i)-isoconjugate-of-X(j) for these {i, j}: {42, 16723}, {44, 17449}, {92, 23214}, {902, 3834}, {2251, 20893}, {3285, 21026}, {8756, 22067}, {17179, 52963}, {18198, 21805}, {21115, 23344}
X(72449) = X(i)-vertex conjugate of X(j) for these {i, j}: {2251, 72449}
X(72449) = X(i)-Dao conjugate of X(j) for these {i, j}: {9460, 20893}, {22391, 23214}, {40592, 16723}, {40594, 3834}, {40595, 17449}
X(72449) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57401}, {2176, 106}, {21007, 901}
X(72449) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(56223)}}, {{A, B, C, X(6), X(2251)}}, {{A, B, C, X(57), X(35168)}}, {{A, B, C, X(81), X(1016)}}, {{A, B, C, X(83), X(5383)}}, {{A, B, C, X(88), X(1168)}}, {{A, B, C, X(89), X(519)}}, {{A, B, C, X(239), X(5313)}}, {{A, B, C, X(514), X(26745)}}, {{A, B, C, X(666), X(4638)}}, {{A, B, C, X(5385), X(52680)}}, {{A, B, C, X(6185), X(10428)}}, {{A, B, C, X(7304), X(50028)}}, {{A, B, C, X(27789), X(36954)}}, {{A, B, C, X(35172), X(60871)}}
X(72449) = barycentric product X(i)*X(j) for these (i, j): {20568, 57401}, {32012, 88}, {59070, 63216}
X(72449) = barycentric quotient X(i)/X(j) for these (i, j): {81, 16723}, {88, 3834}, {106, 17449}, {184, 23214}, {903, 20893}, {1022, 21115}, {4674, 21026}, {32012, 4358}, {36058, 22067}, {57401, 44}, {59070, 52924}

X(72450) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(45)

X(72450) lies on these lines: {89, 57402}, {32013, 37633}

X(72450) = X(i)-isoconjugate-of-X(j) for these {i, j}: {42, 16724}, {45, 17450}, {92, 23215}, {2177, 34824}, {4273, 21027}
X(72450) = X(i)-Dao conjugate of X(j) for these {i, j}: {22391, 23215}, {40592, 16724}
X(72450) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57402}, {21007, 4588}
X(72450) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(2251)}}, {{A, B, C, X(81), X(106)}}, {{A, B, C, X(83), X(40400)}}, {{A, B, C, X(88), X(4653)}}, {{A, B, C, X(89), X(5385)}}, {{A, B, C, X(34079), X(40408)}}
X(72450) = barycentric product X(i)*X(j) for these (i, j): {20569, 57402}, {32013, 89}
X(72450) = barycentric quotient X(i)/X(j) for these (i, j): {81, 16724}, {89, 34824}, {184, 23215}, {2163, 17450}, {32013, 4671}, {39704, 20894}, {53114, 21027}, {57402, 45}

X(72451) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(46)

X(72451) lies on these lines: {90, 57403}, {1778, 18605}, {1993, 17314}, {2994, 69848}

X(72451) = trilinear pole of line {30202, 34948}
X(72451) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2178, 21616}
X(72451) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57403}
X(72451) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(47), X(81)}}, {{A, B, C, X(941), X(1255)}}, {{A, B, C, X(2985), X(56045)}}
X(72451) = barycentric product X(i)*X(j) for these (i, j): {20570, 57403}
X(72451) = barycentric quotient X(i)/X(j) for these (i, j): {90, 21616}, {57403, 46}

X(72452) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(48)

X(72452) lies on these lines: {6, 18027}, {92, 9247}

X(72452) = trilinear pole of line {4874, 23864}
X(72452) = X(i)-isoconjugate-of-X(j) for these {i, j}: {3, 23619}, {6, 22069}, {48, 21318}, {71, 26892}, {184, 20305}, {228, 18161}, {652, 62751}, {1409, 24430}, {2200, 17181}, {9247, 17864}, {18083, 20775}, {21117, 32656}
X(72452) = X(i)-vertex conjugate of X(j) for these {i, j}: {9247, 72452}
X(72452) = X(i)-Dao conjugate of X(j) for these {i, j}: {9, 22069}, {1249, 21318}, {36103, 23619}, {62576, 17864}, {62605, 20305}
X(72452) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57405}
X(72452) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(7049)}}, {{A, B, C, X(4), X(330)}}, {{A, B, C, X(6), X(9247)}}, {{A, B, C, X(81), X(829)}}, {{A, B, C, X(92), X(18027)}}, {{A, B, C, X(274), X(1896)}}, {{A, B, C, X(275), X(2985)}}, {{A, B, C, X(1172), X(2311)}}, {{A, B, C, X(7003), X(32022)}}, {{A, B, C, X(7149), X(58012)}}, {{A, B, C, X(32009), X(62742)}}, {{A, B, C, X(38249), X(39738)}}, {{A, B, C, X(40395), X(55939)}}, {{A, B, C, X(40432), X(57734)}}
X(72452) = barycentric product X(i)*X(j) for these (i, j): {1969, 57405}
X(72452) = barycentric quotient X(i)/X(j) for these (i, j): {1, 22069}, {4, 21318}, {19, 23619}, {27, 18161}, {28, 26892}, {29, 24430}, {92, 20305}, {108, 62751}, {264, 17864}, {286, 17181}, {17924, 21117}, {41013, 21028}, {57405, 48}

X(72453) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(60)

X(72453) lies on these lines: {12, 57411}, {3074, 5255}

X(72453) = trilinear pole of line {32626, 39200}
X(72453) = X(i)-isoconjugate-of-X(j) for these {i, j}: {42, 18602}, {92, 23199}, {2150, 34829}
X(72453) = X(i)-Dao conjugate of X(j) for these {i, j}: {22391, 23199}, {40592, 18602}, {56325, 34829}
X(72453) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57411}
X(72453) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(275)}}, {{A, B, C, X(2), X(10039)}}, {{A, B, C, X(8), X(62879)}}, {{A, B, C, X(57), X(83)}}, {{A, B, C, X(80), X(40395)}}, {{A, B, C, X(81), X(40393)}}, {{A, B, C, X(226), X(46102)}}, {{A, B, C, X(278), X(60082)}}, {{A, B, C, X(801), X(25430)}}, {{A, B, C, X(1016), X(64991)}}, {{A, B, C, X(1065), X(40444)}}, {{A, B, C, X(1220), X(40573)}}, {{A, B, C, X(1255), X(2986)}}, {{A, B, C, X(2006), X(14534)}}, {{A, B, C, X(2982), X(18772)}}, {{A, B, C, X(7115), X(18098)}}, {{A, B, C, X(7130), X(60871)}}, {{A, B, C, X(7578), X(25417)}}, {{A, B, C, X(17743), X(56231)}}, {{A, B, C, X(40397), X(62911)}}
X(72453) = barycentric product X(i)*X(j) for these (i, j): {34388, 57411}
X(72453) = barycentric quotient X(i)/X(j) for these (i, j): {12, 34829}, {81, 18602}, {184, 23199}, {57411, 60}

X(72454) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(71)

X(72454) lies on the Kiepert hyperbola and on these lines: {4, 44120}, {27, 2200}, {1751, 46103}, {15149, 60188}, {31909, 60088}, {36794, 43531}, {44129, 56000}

X(72454) = trilinear pole of line {2073, 23399}
X(72454) = X(i)-isoconjugate-of-X(j) for these {i, j}: {37, 71277}, {42, 18606}, {48, 3136}, {63, 40954}, {72, 40955}, {228, 34830}, {1860, 3990}, {2200, 17866}
X(72454) = X(i)-vertex conjugate of X(j) for these {i, j}: {2200, 72454}
X(72454) = X(i)-Dao conjugate of X(j) for these {i, j}: {1249, 3136}, {3162, 40954}, {40589, 71277}, {40592, 18606}
X(72454) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57416}, {6586, 107}, {8676, 99}, {21791, 112}, {46107, 648}, {53258, 22456}
X(72454) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(4)}}, {{A, B, C, X(6), X(2200)}}, {{A, B, C, X(57), X(1248)}}, {{A, B, C, X(287), X(3682)}}, {{A, B, C, X(1172), X(2311)}}, {{A, B, C, X(2333), X(6531)}}, {{A, B, C, X(7543), X(54372)}}, {{A, B, C, X(34538), X(59195)}}, {{A, B, C, X(40408), X(56005)}}, {{A, B, C, X(40409), X(57390)}}, {{A, B, C, X(40414), X(44129)}}
X(72454) = barycentric product X(i)*X(j) for these (i, j): {44129, 57416}
X(72454) = barycentric quotient X(i)/X(j) for these (i, j): {4, 3136}, {25, 40954}, {27, 34830}, {58, 71277}, {81, 18606}, {286, 17866}, {1474, 40955}, {8747, 1860}, {57416, 71}

X(72455) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(90)

X(72455) lies on these lines: {1, 55871}, {6, 56050}, {277, 62799}, {278, 32911}, {908, 37887}, {1812, 39747}, {2006, 26723}, {2401, 69353}, {2911, 5905}, {4511, 56137}, {34051, 67120}, {35058, 69045}, {39947, 62798}

X(72455) = trilinear pole of line {32760, 513}
X(72455) = X(i)-isoconjugate-of-X(j) for these {i, j}: {6, 10916}, {650, 61228}, {2164, 41540}, {39943, 41537}
X(72455) = X(i)-Dao conjugate of X(j) for these {i, j}: {9, 10916}
X(72455) = X(i)-cross conjugate of X(j) for these {i, j}: {21188, 651}
X(72455) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(2)}}, {{A, B, C, X(4), X(1708)}}, {{A, B, C, X(7), X(55871)}}, {{A, B, C, X(21), X(57721)}}, {{A, B, C, X(27), X(4564)}}, {{A, B, C, X(63), X(60155)}}, {{A, B, C, X(83), X(56045)}}, {{A, B, C, X(294), X(7072)}}, {{A, B, C, X(673), X(2167)}}, {{A, B, C, X(837), X(7128)}}, {{A, B, C, X(1156), X(54929)}}, {{A, B, C, X(1262), X(40397)}}, {{A, B, C, X(1389), X(30690)}}, {{A, B, C, X(1476), X(52393)}}, {{A, B, C, X(1783), X(31616)}}, {{A, B, C, X(1797), X(1812)}}, {{A, B, C, X(1814), X(6513)}}, {{A, B, C, X(2994), X(44178)}}, {{A, B, C, X(4511), X(26723)}}, {{A, B, C, X(5620), X(16577)}}, {{A, B, C, X(7131), X(60156)}}, {{A, B, C, X(8751), X(30651)}}, {{A, B, C, X(12848), X(56545)}}, {{A, B, C, X(13478), X(55995)}}, {{A, B, C, X(17097), X(57722)}}, {{A, B, C, X(17743), X(40406)}}, {{A, B, C, X(24624), X(55987)}}, {{A, B, C, X(36100), X(60087)}}, {{A, B, C, X(36101), X(54451)}}, {{A, B, C, X(37131), X(56947)}}, {{A, B, C, X(39741), X(43363)}}, {{A, B, C, X(39975), X(67076)}}, {{A, B, C, X(40394), X(40403)}}, {{A, B, C, X(40424), X(63193)}}, {{A, B, C, X(51567), X(63188)}}, {{A, B, C, X(55924), X(60139)}}, {{A, B, C, X(55936), X(60107)}}, {{A, B, C, X(55938), X(60615)}}, {{A, B, C, X(55986), X(60168)}}
X(72455) = barycentric quotient X(i)/X(j) for these (i, j): {1, 10916}, {46, 41540}, {109, 61228}, {11248, 41559}, {18838, 41552}, {34489, 41565}, {37579, 41537}

X(72456) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(91)

X(72456) lies on these lines: {6, 63835}, {58, 16473}, {81, 56352}, {1412, 7130}, {56047, 57884}

X(72456) = X(i)-isoconjugate-of-X(j) for these {i, j}: {37, 499}, {226, 7082}, {321, 61396}, {1826, 24467}
X(72456) = X(i)-Dao conjugate of X(j) for these {i, j}: {40589, 499}
X(72456) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(16473)}}, {{A, B, C, X(2), X(36052)}}, {{A, B, C, X(6), X(61395)}}, {{A, B, C, X(27), X(52378)}}, {{A, B, C, X(47), X(63835)}}, {{A, B, C, X(57), X(59334)}}, {{A, B, C, X(58), X(81)}}, {{A, B, C, X(88), X(57418)}}, {{A, B, C, X(1167), X(1255)}}, {{A, B, C, X(1262), X(40397)}}, {{A, B, C, X(1790), X(24624)}}, {{A, B, C, X(2003), X(37887)}}, {{A, B, C, X(2311), X(57405)}}, {{A, B, C, X(2994), X(3417)}}, {{A, B, C, X(7130), X(52186)}}, {{A, B, C, X(15474), X(56005)}}, {{A, B, C, X(18604), X(57736)}}
X(72456) = barycentric product X(i)*X(j) for these (i, j): {333, 7130}, {52186, 86}, {56352, 81}, {57884, 58}
X(72456) = barycentric quotient X(i)/X(j) for these (i, j): {58, 499}, {1437, 24467}, {2194, 7082}, {2206, 61396}, {7130, 226}, {52186, 10}, {56352, 321}, {57884, 313}

X(72457) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(142)

X(72457) lies on these lines: {1170, 1418}, {1174, 1475}, {1212, 3957}, {2293, 10482}

X(72457) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 42438}, {142, 3748}, {354, 6666}, {1212, 58816}, {17201, 21808}, {21104, 61232}, {21127, 61192}
X(72457) = X(i)-vertex conjugate of X(j) for these {i, j}: {1475, 72457}
X(72457) = X(i)-cross conjugate of X(j) for these {i, j}: {663, 53243}
X(72457) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(3957)}}, {{A, B, C, X(6), X(279)}}, {{A, B, C, X(1170), X(1174)}}, {{A, B, C, X(1262), X(70655)}}, {{A, B, C, X(1509), X(23617)}}, {{A, B, C, X(40141), X(65003)}}
X(72457) = barycentric product X(i)*X(j) for these (i, j): {1174, 32015}, {58104, 62725}
X(72457) = barycentric quotient X(i)/X(j) for these (i, j): {41, 42438}, {1174, 6666}, {32015, 1233}, {53243, 61192}, {58104, 35312}

X(72458) = ISOGONAL CONJUGATE OF X(3160)

X(72458) lies on curves K360, Q174 and on these lines: {1, 971}, {9, 45228}, {55, 1615}, {56, 103}, {57, 8917}, {65, 42872}, {145, 10405}, {200, 4513}, {218, 4845}, {672, 38291}, {963, 51773}, {1043, 63165}, {1376, 60813}, {1859, 7007}, {1996, 5543}, {2067, 30335}, {3056, 8163}, {3057, 7218}, {3304, 52013}, {4336, 68542}, {6502, 30336}, {6738, 56144}, {7038, 37537}, {9441, 36601}, {10482, 33634}, {12513, 63602}, {14522, 31391}, {15856, 59215}, {19861, 56098}, {23056, 69242}, {37593, 40069}, {38285, 52001}, {40133, 60910}, {45275, 59610}, {51361, 52429}, {56359, 63994}

X(72458) = isogonal conjugate of X(3160)
X(72458) = isotomic conjugate of X(50560)
X(72458) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 3160}, {2, 1419}, {6, 31627}, {7, 165}, {8, 17106}, {9, 9533}, {19, 50559}, {28, 50563}, {31, 50560}, {41, 67148}, {55, 50561}, {56, 16284}, {57, 144}, {63, 67169}, {77, 63965}, {85, 3207}, {269, 64083}, {273, 22117}, {284, 50562}, {513, 65165}, {651, 7658}, {910, 70613}, {1014, 21060}, {1414, 55285}, {1420, 65966}, {1434, 21872}, {4617, 57064}, {4626, 58835}, {33634, 59181}, {41561, 63185}, {43182, 63192}, {43924, 62533}, {45203, 72469}
X(72458) = X(i)-vertex conjugate of X(j) for these {i, j}: {2067, 6502}, {3207, 72458}
X(72458) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 16284}, {2, 50560}, {3, 3160}, {6, 50559}, {9, 31627}, {223, 50561}, {478, 9533}, {3160, 67148}, {3162, 67169}, {5452, 144}, {6600, 64083}, {32664, 1419}, {38991, 7658}, {39026, 65165}, {40590, 50562}, {40591, 50563}, {40608, 55285}
X(72458) = X(i)-Ceva conjugate of X(j) for these {i, j}: {3062, 11051}
X(72458) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 55}, {663, 53622}, {926, 65642}, {1200, 9}, {2338, 2115}, {9439, 2053}, {35508, 650}, {63596, 8}
X(72458) = pole of line {57, 7955} with respect to the Feuerbach hyperbola
X(72458) = pole of line {3160, 50559} with respect to the Stammler hyperbola
X(72458) = pole of line {3160, 50560} with respect to the Wallace hyperbola
X(72458) = isogonal conjugate of complement of isotomic conjugate of X(144)
X(72458) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(33)}}, {{A, B, C, X(4), X(971)}}, {{A, B, C, X(6), X(1419)}}, {{A, B, C, X(7), X(480)}}, {{A, B, C, X(8), X(8581)}}, {{A, B, C, X(9), X(60937)}}, {{A, B, C, X(41), X(2334)}}, {{A, B, C, X(56), X(607)}}, {{A, B, C, X(57), X(1615)}}, {{A, B, C, X(84), X(7079)}}, {{A, B, C, X(145), X(2340)}}, {{A, B, C, X(218), X(6603)}}, {{A, B, C, X(241), X(30694)}}, {{A, B, C, X(279), X(650)}}, {{A, B, C, X(282), X(34488)}}, {{A, B, C, X(294), X(2053)}}, {{A, B, C, X(354), X(10580)}}, {{A, B, C, X(497), X(63994)}}, {{A, B, C, X(673), X(64458)}}, {{A, B, C, X(728), X(7091)}}, {{A, B, C, X(949), X(15374)}}, {{A, B, C, X(1172), X(30457)}}, {{A, B, C, X(1200), X(45228)}}, {{A, B, C, X(1212), X(56217)}}, {{A, B, C, X(1253), X(10579)}}, {{A, B, C, X(1392), X(6065)}}, {{A, B, C, X(1433), X(57108)}}, {{A, B, C, X(1436), X(34492)}}, {{A, B, C, X(1476), X(28071)}}, {{A, B, C, X(1836), X(11220)}}, {{A, B, C, X(1857), X(10429)}}, {{A, B, C, X(2195), X(3445)}}, {{A, B, C, X(2293), X(5543)}}, {{A, B, C, X(2360), X(7074)}}, {{A, B, C, X(3296), X(63972)}}, {{A, B, C, X(3689), X(56642)}}, {{A, B, C, X(3693), X(54123)}}, {{A, B, C, X(4041), X(52382)}}, {{A, B, C, X(4105), X(56741)}}, {{A, B, C, X(4895), X(14584)}}, {{A, B, C, X(5423), X(10866)}}, {{A, B, C, X(6169), X(7153)}}, {{A, B, C, X(7037), X(57392)}}, {{A, B, C, X(7046), X(9856)}}, {{A, B, C, X(7071), X(43736)}}, {{A, B, C, X(7118), X(34068)}}, {{A, B, C, X(7123), X(56355)}}, {{A, B, C, X(7320), X(59269)}}, {{A, B, C, X(8605), X(9848)}}, {{A, B, C, X(9311), X(14943)}}, {{A, B, C, X(9441), X(38285)}}, {{A, B, C, X(9442), X(64134)}}, {{A, B, C, X(9503), X(70655)}}, {{A, B, C, X(10509), X(63905)}}, {{A, B, C, X(10939), X(56275)}}, {{A, B, C, X(11051), X(19605)}}, {{A, B, C, X(14377), X(62747)}}, {{A, B, C, X(19861), X(28043)}}, {{A, B, C, X(24644), X(67701)}}, {{A, B, C, X(40141), X(65003)}}, {{A, B, C, X(40779), X(56200)}}, {{A, B, C, X(42013), X(64623)}}, {{A, B, C, X(51361), X(56638)}}, {{A, B, C, X(62178), X(64697)}}
X(72458) = barycentric product X(i)*X(j) for these (i, j): {1, 19605}, {6, 63165}, {41, 44186}, {200, 64980}, {220, 36620}, {294, 56718}, {480, 60831}, {3062, 9}, {3239, 53622}, {3445, 65967}, {3709, 55284}, {3900, 61240}, {4513, 60813}, {5423, 61380}, {10405, 55}, {11051, 8}, {36101, 70007}, {53640, 657}
X(72458) = barycentric quotient X(i)/X(j) for these (i, j): {1, 31627}, {2, 50560}, {3, 50559}, {6, 3160}, {7, 67148}, {9, 16284}, {25, 67169}, {31, 1419}, {41, 165}, {55, 144}, {56, 9533}, {57, 50561}, {65, 50562}, {71, 50563}, {101, 65165}, {103, 70613}, {220, 64083}, {604, 17106}, {607, 63965}, {644, 62533}, {663, 7658}, {1200, 43182}, {1334, 21060}, {2175, 3207}, {3022, 13609}, {3062, 85}, {3709, 55285}, {4105, 57064}, {10405, 6063}, {11051, 7}, {19605, 75}, {36620, 57792}, {44186, 20567}, {52425, 22117}, {53622, 658}, {53640, 46406}, {56718, 40704}, {57180, 58835}, {60831, 57880}, {61240, 4569}, {61380, 479}, {63165, 76}, {63596, 2884}, {64980, 1088}, {65967, 70251}, {70007, 30807}
X(72458) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3062, 64980}, {1, 8835, 1419}, {10939, 56741, 1}

X(72459) = ISOGONAL CONJUGATE OF X(31998)

X(72459) lies on these lines: {351, 10567}, {512, 9217}, {620, 690}, {3124, 19610}, {4563, 37880}, {9208, 58754}, {9395, 16575}

X(72459) = isogonal conjugate of X(31998)
X(72459) = trilinear pole of line {14824, 19610}
X(72459) = perspector of circumconic {{A, B, C, X(9217), X(35511)}}
X(72459) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 31998}, {2, 2644}, {75, 9218}, {99, 2640}, {110, 20939}, {148, 662}, {643, 17085}, {798, 61497}, {799, 20998}, {811, 22143}, {1581, 46291}, {4567, 21200}, {4610, 21899}, {10278, 24041}, {11053, 36085}, {21089, 52935}, {23889, 67198}
X(72459) = X(i)-vertex conjugate of X(j) for these {i, j}: {20998, 72459}
X(72459) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 31998}, {206, 9218}, {244, 20939}, {1084, 148}, {3005, 10278}, {17423, 22143}, {19576, 46291}, {31998, 61497}, {32664, 2644}, {36830, 31632}, {38986, 2640}, {38988, 11053}, {38996, 20998}, {40627, 21200}, {55060, 17085}
X(72459) = X(i)-Ceva conjugate of X(j) for these {i, j}: {9217, 19610}, {19610, 512}
X(72459) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 512}, {19610, 9217}
X(72459) = pole of line {9218, 31998} with respect to the Stammler hyperbola
X(72459) = isogonal conjugate of complement of isotomic conjugate of X(148)
X(72459) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(11052)}}, {{A, B, C, X(6), X(11053)}}, {{A, B, C, X(100), X(17990)}}, {{A, B, C, X(108), X(17992)}}, {{A, B, C, X(110), X(351)}}, {{A, B, C, X(111), X(620)}}, {{A, B, C, X(249), X(33704)}}, {{A, B, C, X(647), X(4563)}}, {{A, B, C, X(661), X(5029)}}, {{A, B, C, X(669), X(4630)}}, {{A, B, C, X(694), X(41909)}}, {{A, B, C, X(804), X(3222)}}, {{A, B, C, X(882), X(2433)}}, {{A, B, C, X(888), X(62411)}}, {{A, B, C, X(1301), X(17994)}}, {{A, B, C, X(1976), X(5972)}}, {{A, B, C, X(2054), X(6187)}}, {{A, B, C, X(2489), X(11176)}}, {{A, B, C, X(2502), X(39024)}}, {{A, B, C, X(3221), X(9035)}}, {{A, B, C, X(3569), X(6388)}}, {{A, B, C, X(5040), X(42653)}}, {{A, B, C, X(8644), X(9208)}}, {{A, B, C, X(11060), X(53706)}}, {{A, B, C, X(17989), X(53627)}}, {{A, B, C, X(17997), X(59076)}}, {{A, B, C, X(21731), X(42654)}}, {{A, B, C, X(22260), X(59152)}}, {{A, B, C, X(32741), X(41498)}}, {{A, B, C, X(33581), X(57500)}}, {{A, B, C, X(34952), X(42651)}}, {{A, B, C, X(45693), X(63749)}}
X(72459) = barycentric product X(i)*X(j) for these (i, j): {1, 9396}, {6, 9293}, {523, 9217}, {661, 9395}, {3124, 37880}, {19610, 99}, {35511, 512}, {46290, 882}
X(72459) = barycentric quotient X(i)/X(j) for these (i, j): {6, 31998}, {31, 2644}, {32, 9218}, {99, 61497}, {110, 31632}, {351, 11053}, {512, 148}, {661, 20939}, {669, 20998}, {798, 2640}, {881, 46292}, {1691, 46291}, {3049, 22143}, {3122, 21200}, {3124, 10278}, {4079, 21089}, {7180, 17085}, {9178, 67198}, {9217, 99}, {9293, 76}, {9395, 799}, {9396, 75}, {19610, 523}, {35511, 670}, {37880, 34537}, {46290, 880}, {50487, 21899}

X(72460) = ISOGONAL CONJUGATE OF X(5375)

X(72460) lies on these lines: {513, 3446}, {651, 57183}, {918, 3960}, {2254, 3722}, {22108, 53544}, {24002, 37771}

X(72460) = isogonal conjugate of X(5375)
X(72460) = trilinear pole of line {3675, 6161}
X(72460) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 5375}, {9, 40577}, {100, 5540}, {101, 149}, {110, 21090}, {190, 16686}, {522, 57183}, {644, 1421}, {649, 11607}, {662, 21889}, {663, 31633}, {692, 18151}, {1252, 21201}, {1897, 22144}, {3939, 37771}, {4564, 11193}, {36086, 63793}
X(72460) = X(i)-vertex conjugate of X(j) for these {i, j}: {16686, 72460}
X(72460) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 5375}, {244, 21090}, {478, 40577}, {661, 21201}, {1015, 149}, {1084, 21889}, {1086, 18151}, {5375, 11607}, {8054, 5540}, {34467, 22144}, {38989, 63793}, {40617, 37771}, {55053, 16686}
X(72460) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 513}
X(72460) = isogonal conjugate of complement of isotomic conjugate of X(149)
X(72460) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(16686)}}, {{A, B, C, X(57), X(62676)}}, {{A, B, C, X(59), X(38863)}}, {{A, B, C, X(88), X(2991)}}, {{A, B, C, X(513), X(651)}}, {{A, B, C, X(514), X(662)}}, {{A, B, C, X(650), X(3939)}}, {{A, B, C, X(665), X(692)}}, {{A, B, C, X(900), X(27834)}}, {{A, B, C, X(905), X(1332)}}, {{A, B, C, X(909), X(24036)}}, {{A, B, C, X(1461), X(3669)}}, {{A, B, C, X(1638), X(43049)}}, {{A, B, C, X(2006), X(16578)}}, {{A, B, C, X(3257), X(42555)}}, {{A, B, C, X(8269), X(43042)}}, {{A, B, C, X(9267), X(17946)}}, {{A, B, C, X(13476), X(63148)}}, {{A, B, C, X(17044), X(34056)}}, {{A, B, C, X(21907), X(37128)}}, {{A, B, C, X(34051), X(36949)}}, {{A, B, C, X(44059), X(61107)}}, {{A, B, C, X(53527), X(53545)}}
X(72460) = barycentric product X(i)*X(j) for these (i, j): {513, 8047}, {3446, 693}, {34896, 934}, {42552, 7}
X(72460) = barycentric quotient X(i)/X(j) for these (i, j): {6, 5375}, {56, 40577}, {100, 11607}, {244, 21201}, {512, 21889}, {513, 149}, {514, 18151}, {649, 5540}, {651, 31633}, {661, 21090}, {665, 63793}, {667, 16686}, {1415, 57183}, {3271, 11193}, {3446, 100}, {3669, 37771}, {8047, 668}, {22383, 22144}, {34896, 4397}, {42552, 8}, {43924, 1421}

X(72461) = ISOGONAL CONJUGATE OF X(39026)

X(72461) lies on these lines: {514, 20999}, {1331, 40150}, {1769, 23541}, {2254, 44428}, {3310, 13006}, {3738, 4458}, {21202, 23989}, {24126, 43924}, {44184, 58371}, {44313, 61423}, {48326, 53304}

X(72461) = isogonal conjugate of X(39026)
X(72461) = trilinear pole of line {14825, 53578}
X(72461) = perspector of circumconic {{A, B, C, X(44184), X(67927)}}
X(72461) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 39026}, {100, 20999}, {101, 16560}, {110, 22321}, {150, 692}, {163, 21091}, {513, 14887}, {650, 57240}, {765, 8578}, {813, 27943}, {1110, 21202}, {1783, 22145}, {20940, 32739}
X(72461) = X(i)-vertex conjugate of X(j) for these {i, j}: {20999, 72461}
X(72461) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 39026}, {115, 21091}, {244, 22321}, {513, 8578}, {514, 21202}, {1015, 16560}, {1086, 150}, {8054, 20999}, {39006, 22145}, {39026, 14887}, {40619, 20940}, {40623, 27943}
X(72461) = X(i)-Ceva conjugate of X(j) for these {i, j}: {44184, 61423}
X(72461) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 514}, {61423, 44184}
X(72461) = pole of line {20096, 42754} with respect to the Steiner circumellipse
X(72461) = isogonal conjugate of complement of isotomic conjugate of X(150)
X(72461) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(24980)}}, {{A, B, C, X(6), X(20999)}}, {{A, B, C, X(10), X(21201)}}, {{A, B, C, X(11), X(1897)}}, {{A, B, C, X(88), X(24025)}}, {{A, B, C, X(100), X(522)}}, {{A, B, C, X(104), X(1280)}}, {{A, B, C, X(105), X(23541)}}, {{A, B, C, X(108), X(3676)}}, {{A, B, C, X(162), X(513)}}, {{A, B, C, X(244), X(1769)}}, {{A, B, C, X(291), X(13006)}}, {{A, B, C, X(514), X(23887)}}, {{A, B, C, X(652), X(1331)}}, {{A, B, C, X(664), X(43974)}}, {{A, B, C, X(693), X(4458)}}, {{A, B, C, X(918), X(37206)}}, {{A, B, C, X(1929), X(2166)}}, {{A, B, C, X(1937), X(23988)}}, {{A, B, C, X(2774), X(8714)}}, {{A, B, C, X(4573), X(60481)}}, {{A, B, C, X(6553), X(56642)}}, {{A, B, C, X(6650), X(24624)}}, {{A, B, C, X(21132), X(24126)}}, {{A, B, C, X(30704), X(52937)}}, {{A, B, C, X(32739), X(65703)}}, {{A, B, C, X(36037), X(42552)}}
X(72461) = barycentric product X(i)*X(j) for these (i, j): {190, 61423}, {522, 67927}, {3261, 34179}, {23989, 40150}, {44184, 514}
X(72461) = barycentric quotient X(i)/X(j) for these (i, j): {6, 39026}, {101, 14887}, {109, 57240}, {513, 16560}, {514, 150}, {523, 21091}, {649, 20999}, {659, 27943}, {661, 22321}, {693, 20940}, {1015, 8578}, {1086, 21202}, {1459, 22145}, {34179, 101}, {40150, 1252}, {43190, 31634}, {44184, 190}, {61423, 514}, {67927, 664}

X(72462) = ISOGONAL CONJUGATE OF X(24005)

X(72462) lies on these lines: {58, 8069}, {81, 3553}, {255, 1096}, {593, 56001}, {837, 36419}, {1396, 56287}, {1412, 53995}

X(72462) = isogonal conjugate of X(24005)
X(72462) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 24005}, {6, 17869}, {10, 3554}, {37, 3086}, {42, 54284}, {65, 53994}, {158, 836}, {210, 65000}, {226, 30223}, {1172, 26955}, {1519, 2250}, {1824, 26871}, {1826, 63399}, {1903, 63962}, {19354, 40149}, {38015, 52384}, {38955, 58894}
X(72462) = X(i)-vertex conjugate of X(j) for these {i, j}: {1096, 72462}
X(72462) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 24005}, {9, 17869}, {1147, 836}, {40589, 3086}, {40592, 54284}, {40602, 53994}
X(72462) = X(i)-cross conjugate of X(j) for these {i, j}: {6588, 109}
X(72462) = pole of line {836, 3086} with respect to the Stammler hyperbola
X(72462) = pole of line {24005, 54284} with respect to the Wallace hyperbola
X(72462) = isogonal conjugate of complement of isotomic conjugate of X(158)
X(72462) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(7130)}}, {{A, B, C, X(2), X(1167)}}, {{A, B, C, X(6), X(1096)}}, {{A, B, C, X(57), X(8069)}}, {{A, B, C, X(58), X(81)}}, {{A, B, C, X(59), X(55987)}}, {{A, B, C, X(92), X(60025)}}, {{A, B, C, X(102), X(2994)}}, {{A, B, C, X(283), X(18604)}}, {{A, B, C, X(284), X(57405)}}, {{A, B, C, X(333), X(1790)}}, {{A, B, C, X(573), X(5739)}}, {{A, B, C, X(837), X(42019)}}, {{A, B, C, X(951), X(60156)}}, {{A, B, C, X(1262), X(40399)}}, {{A, B, C, X(1796), X(55965)}}, {{A, B, C, X(2311), X(57386)}}, {{A, B, C, X(2316), X(60155)}}, {{A, B, C, X(41894), X(56003)}}, {{A, B, C, X(51497), X(60114)}}, {{A, B, C, X(52186), X(56231)}}
X(72462) = barycentric product X(i)*X(j) for these (i, j): {21, 56287}, {284, 34401}, {333, 53995}, {394, 837}, {577, 57978}, {2360, 34413}, {42019, 86}, {56354, 81}
X(72462) = barycentric quotient X(i)/X(j) for these (i, j): {1, 17869}, {6, 24005}, {58, 3086}, {73, 26955}, {81, 54284}, {284, 53994}, {577, 836}, {837, 2052}, {859, 1519}, {1333, 3554}, {1412, 65000}, {1437, 63399}, {1790, 26871}, {2194, 30223}, {2360, 63962}, {34401, 349}, {42019, 10}, {53995, 226}, {56287, 1441}, {56354, 321}, {57978, 18027}

X(72463) = ISOGONAL CONJUGATE OF X(16612)

X(72463) lies on these lines: {6, 15526}, {294, 15314}, {579, 2311}, {644, 65191}, {656, 32676}, {2316, 14557}, {2341, 4383}, {3882, 5546}, {3939, 61172}, {4551, 32736}, {16612, 65232}, {46588, 61221}

X(72463) = isogonal conjugate of X(16612)
X(72463) = trilinear pole of line {55, 976}
X(72463) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 16612}, {6, 65099}, {28, 57186}, {56, 57197}, {63, 54247}, {112, 34846}, {513, 5279}, {514, 5285}, {649, 7270}, {667, 2064}, {2881, 37202}, {36071, 57606}, {51664, 56375}, {57735, 65871}
X(72463) = X(i)-vertex conjugate of X(j) for these {i, j}: {32676, 72463}
X(72463) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 57197}, {3, 16612}, {9, 65099}, {3162, 54247}, {5375, 7270}, {6631, 2064}, {34591, 34846}, {39026, 5279}, {40591, 57186}, {65887, 65871}
X(72463) = X(i)-cross conjugate of X(j) for these {i, j}: {8611, 1}, {53290, 100}, {61205, 109}
X(72463) = pole of line {16612, 52058} with respect to the Stammler hyperbola
X(72463) = pole of line {306, 15314} with respect to the Hutson-Moses hyperbola
X(72463) = isogonal conjugate of complement of isotomic conjugate of X(162)
X(72463) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(65232)}}, {{A, B, C, X(2), X(46588)}}, {{A, B, C, X(6), X(32676)}}, {{A, B, C, X(101), X(294)}}, {{A, B, C, X(108), X(56235)}}, {{A, B, C, X(109), X(1332)}}, {{A, B, C, X(162), X(1020)}}, {{A, B, C, X(163), X(4574)}}, {{A, B, C, X(284), X(58976)}}, {{A, B, C, X(579), X(69889)}}, {{A, B, C, X(648), X(57251)}}, {{A, B, C, X(653), X(36050)}}, {{A, B, C, X(656), X(15526)}}, {{A, B, C, X(662), X(3882)}}, {{A, B, C, X(823), X(1751)}}, {{A, B, C, X(1461), X(32691)}}, {{A, B, C, X(2222), X(6335)}}, {{A, B, C, X(4383), X(4585)}}, {{A, B, C, X(4552), X(6011)}}, {{A, B, C, X(4612), X(37137)}}, {{A, B, C, X(8611), X(16612)}}, {{A, B, C, X(13138), X(32714)}}, {{A, B, C, X(15440), X(44765)}}, {{A, B, C, X(15455), X(37140)}}, {{A, B, C, X(36087), X(56188)}}, {{A, B, C, X(36127), X(44327)}}, {{A, B, C, X(37141), X(40097)}}, {{A, B, C, X(46639), X(59092)}}
X(72463) = barycentric product X(i)*X(j) for these (i, j): {100, 15314}, {668, 8615}, {2867, 44661}
X(72463) = barycentric quotient X(i)/X(j) for these (i, j): {1, 65099}, {6, 16612}, {9, 57197}, {25, 54247}, {71, 57186}, {100, 7270}, {101, 5279}, {109, 4296}, {190, 2064}, {656, 34846}, {692, 5285}, {8615, 513}, {15314, 693}, {44661, 65871}, {61221, 48890}

X(72464) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(163)

X(72464) lies on these lines: {6, 23962}

X(72464) = trilinear pole of line {1631, 2915}
X(72464) = X(i)-isoconjugate-of-X(j) for these {i, j}: {110, 23647}, {112, 22433}, {163, 21340}, {1576, 21253}
X(72464) = X(i)-Dao conjugate of X(j) for these {i, j}: {115, 21340}, {244, 23647}, {4858, 21253}, {34591, 22433}, {36901, 21430}
X(72464) = X(i)-cross conjugate of X(j) for these {i, j}: {21784, 99}
X(72464) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(61178)}}, {{A, B, C, X(162), X(60082)}}, {{A, B, C, X(648), X(59112)}}, {{A, B, C, X(825), X(43190)}}, {{A, B, C, X(1577), X(23962)}}, {{A, B, C, X(4631), X(37210)}}, {{A, B, C, X(6742), X(55231)}}, {{A, B, C, X(15440), X(44765)}}, {{A, B, C, X(26700), X(56047)}}
X(72464) = barycentric quotient X(i)/X(j) for these (i, j): {523, 21340}, {656, 22433}, {661, 23647}, {850, 21430}, {1577, 21253}

X(72465) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(171)

X(72465) lies on these lines: {6, 40099}, {256, 7122}, {894, 44187}, {1916, 66973}, {15988, 71830}, {23659, 30670}

X(72465) = trilinear pole of line {16877, 58862}
X(72465) = X(i)-isoconjugate-of-X(j) for these {i, j}: {171, 3727}, {172, 3846}, {894, 23659}, {7009, 22447}, {7122, 21442}, {17202, 20964}
X(72465) = X(i)-vertex conjugate of X(j) for these {i, j}: {7122, 72465}
X(72465) = X(i)-cross conjugate of X(j) for these {i, j}: {3250, 30670}
X(72465) = intersection, other than A, B, C, of circumconics {{A, B, C, X(6), X(894)}}, {{A, B, C, X(81), X(2987)}}, {{A, B, C, X(256), X(1916)}}, {{A, B, C, X(2298), X(34238)}}, {{A, B, C, X(3250), X(23659)}}, {{A, B, C, X(6625), X(9309)}}, {{A, B, C, X(14534), X(20332)}}, {{A, B, C, X(23617), X(35105)}}, {{A, B, C, X(36800), X(39971)}}
X(72465) = barycentric quotient X(i)/X(j) for these (i, j): {256, 3846}, {257, 21442}, {893, 3727}, {904, 23659}, {7116, 22447}, {40432, 17202}

X(72466) = ISOTOMIC CONJUGATE OF X(71266)

X(72466) lies on these lines: {261, 61364}

X(72466) = isotomic conjugate of X(71266)
X(72466) = X(i)-vertex conjugate of X(j) for these {i, j}: {61364, 72466}
X(72466) = isogonal conjugate of complement of isotomic conjugate of X(181)
X(72466) = intersection, other than A, B, C, of circumconics {{A, B, C, X(6), X(61364)}}, {{A, B, C, X(1171), X(20332)}}, {{A, B, C, X(34537), X(38810)}}, {{A, B, C, X(55940), X(69891)}}

X(72467) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(187)

X(72467) lies on these lines: {671, 14567}, {8859, 42008}, {10415, 60695}

X(72467) = trilinear pole of line {11643, 23288}
X(72467) = X(i)-isoconjugate-of-X(j) for these {i, j}: {63, 41911}, {187, 17472}, {625, 922}, {896, 20977}, {14567, 20904}
X(72467) = X(i)-vertex conjugate of X(j) for these {i, j}: {14567, 72467}
X(72467) = X(i)-Dao conjugate of X(j) for these {i, j}: {3162, 41911}, {15899, 20977}, {39061, 625}
X(72467) = X(i)-cross conjugate of X(j) for these {i, j}: {6, 57729}, {1613, 111}, {3050, 691}
X(72467) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(8859)}}, {{A, B, C, X(6), X(14567)}}, {{A, B, C, X(23), X(60695)}}, {{A, B, C, X(83), X(5970)}}, {{A, B, C, X(275), X(63156)}}, {{A, B, C, X(598), X(3266)}}, {{A, B, C, X(671), X(10415)}}, {{A, B, C, X(850), X(53105)}}, {{A, B, C, X(2986), X(10422)}}, {{A, B, C, X(5383), X(40394)}}, {{A, B, C, X(9154), X(44182)}}, {{A, B, C, X(9516), X(38830)}}, {{A, B, C, X(15387), X(72445)}}, {{A, B, C, X(17414), X(20977)}}, {{A, B, C, X(34574), X(43187)}}, {{A, B, C, X(35146), X(52898)}}
X(72467) = barycentric product X(i)*X(j) for these (i, j): {18023, 57729}, {57926, 671}
X(72467) = barycentric quotient X(i)/X(j) for these (i, j): {25, 41911}, {111, 20977}, {671, 625}, {895, 22087}, {897, 17472}, {46277, 20904}, {57729, 187}, {57926, 524}, {62626, 21136}

X(72468) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(191)

X(72468) lies on these lines: {594, 24146}, {756, 7161}, {2171, 40143}

X(72468) = X(i)-isoconjugate-of-X(j) for these {i, j}: {501, 5949}, {1030, 11263}, {3337, 21873}, {17422, 57119}, {21192, 21784}
X(72468) = X(i)-cross conjugate of X(j) for these {i, j}: {7252, 59075}
X(72468) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(37), X(321)}}, {{A, B, C, X(2003), X(2982)}}, {{A, B, C, X(2006), X(24146)}}, {{A, B, C, X(7161), X(34531)}}
X(72468) = barycentric quotient X(i)/X(j) for these (i, j): {267, 11263}, {502, 42005}, {7161, 21081}, {21353, 5949}, {40143, 26842}

X(72469) = ISOGONAL CONJUGATE OF COMPLEMENT OF ISOTOMIC CONJUGATE OF X(200)

X(72469) lies on these lines: {6, 9533}, {41, 738}, {69, 56026}, {144, 220}, {165, 269}, {607, 67169}, {934, 20978}, {1418, 18889}, {3062, 62793}, {4907, 62792}, {6610, 59141}, {23617, 70609}

X(72469) = trilinear pole of line {8641, 43932}
X(72469) = X(i)-isoconjugate-of-X(j) for these {i, j}: {8, 1200}, {9, 14100}, {55, 41006}, {190, 65804}, {200, 40133}, {220, 11019}, {346, 20978}, {480, 60992}, {657, 68350}, {1253, 20905}, {2328, 21049}, {3158, 45202}, {3161, 45229}, {4105, 65174}, {7046, 22088}, {7079, 10167}, {19605, 45228}, {45203, 72458}
X(72469) = X(i)-vertex conjugate of X(j) for these {i, j}: {1253, 72469}
X(72469) = X(i)-Dao conjugate of X(j) for these {i, j}: {223, 41006}, {478, 14100}, {6609, 40133}, {17113, 20905}, {36908, 21049}, {55053, 65804}
X(72469) = X(i)-cross conjugate of X(j) for these {i, j}: {649, 934}
X(72469) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(6), X(41)}}, {{A, B, C, X(7), X(63178)}}, {{A, B, C, X(57), X(144)}}, {{A, B, C, X(69), X(7177)}}, {{A, B, C, X(81), X(801)}}, {{A, B, C, X(269), X(279)}}, {{A, B, C, X(649), X(20978)}}, {{A, B, C, X(1014), X(10509)}}, {{A, B, C, X(1122), X(40704)}}, {{A, B, C, X(1418), X(6610)}}, {{A, B, C, X(1462), X(6180)}}, {{A, B, C, X(2191), X(34056)}}, {{A, B, C, X(2226), X(23586)}}, {{A, B, C, X(7365), X(57498)}}, {{A, B, C, X(14524), X(30807)}}, {{A, B, C, X(17106), X(62793)}}, {{A, B, C, X(19604), X(60831)}}, {{A, B, C, X(23062), X(56049)}}, {{A, B, C, X(23618), X(63192)}}, {{A, B, C, X(38811), X(57390)}}, {{A, B, C, X(42315), X(65002)}}, {{A, B, C, X(43762), X(63185)}}, {{A, B, C, X(44794), X(58004)}}
X(72469) = barycentric product X(i)*X(j) for these (i, j): {269, 56026}, {14493, 7056}, {23618, 57}, {63192, 7}
X(72469) = barycentric quotient X(i)/X(j) for these (i, j): {56, 14100}, {57, 41006}, {269, 11019}, {279, 20905}, {604, 1200}, {667, 65804}, {738, 60992}, {934, 68350}, {1106, 20978}, {1407, 40133}, {1419, 45203}, {1427, 21049}, {4617, 65174}, {7053, 10167}, {7099, 22088}, {14493, 7046}, {16945, 45229}, {17106, 43182}, {23618, 312}, {40151, 45202}, {56026, 341}, {63192, 8}

X(72470) = BERGACKER POINT

The Bergacker, Bodenacker, Buchwald, and Grossmatten points appear together here: X(72470)-X(72473). Contributed by Markus Weyermann, May 23, 2026.

X(72470 lies on the Steiner inellipse and these lines: {1, 3}, {2, 72472}

X(72470) = reflection of X(i) in X(j) for these {i,j}: {72471, 5662}, {72472, 2}
X(72470) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 241, 72471}, {36, 3666, 72471}, {57, 68763, 72471}, {1214, 46974, 72471}

X(72471) = BODENACKER POINT

The Bergacker, Bodenacker, Buchwald, and Grossmatten points appear together here: X(72470)-X(72473). Contributed by Markus Weyermann, May 23, 2026.

X(72471) lies on the Steiner inellipse and these lines: {1, 3}, {2, 72473}

X(72471) = reflection of X(i) in X(j) for these {i,j}: {72470, 5662}, {72473, 2}
X(72471) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 241, 72470}, {36, 3666, 72470}, {57, 68763, 72470}, {1214, 46974, 72470}

X(72472) = BUCHWALD POINT

The Bergacker, Bodenacker, Buchwald, and Grossmatten points appear together here: X(72470)-X(72473). Contributed by Markus Weyermann, May 23, 2026.

X(72472) lies on the Steiner inellipse and these lines: {2, 72470}, {210, 381}

X(72472) = reflection of X(72470) in X(2)

X(72473) = GROSSMATTEN POINT

The Bergacker, Bodenacker, Buchwald, and Grossmatten points appear together here: X(72470)-X(72473). Contributed by Markus Weyermann, May 23, 2026.

X(72473) lies on the Steiner inellipse and these lines: {2, 72471}, {210, 381}

X(72473) = reflection of X(72471) in X(2)

X(72474) = X(297)X(525)∩X(2052)X(3265)

Antreas Hatzipolakis and Ercole Suppa, euclid 9572.

X(72474) lies on these lines: {297, 525}, {2052, 3265}, {6587, 15466}, {30476, 40887}

X(72474) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(297),X(15466)}, {A,B,C,X(523),X(17773)}, {A,B,C,X(525),X(30476)}, {A,B,C,X(3569),X(6587)}, {A,B,C,X(9308),X(51358)}}
X(72474) = pole of the line {6, 51336} with respect to polar circle
X(72474) = pole of the line {264, 23332} with respect to MacBeath inconic
X(72474) = pole of the line {14249, 57518} with respect to dual conic of cosine circle
X(72474) = barycentric product X(i)*X(j) for these (i, j): {1895, 17893}, {14615, 16229}, {15466, 30476}
X(72474) = barycentric quotient X(i)/X(j) for these (i, j): {2451, 14642}, {6587, 51336}, {9308, 46639}, {14249, 65837}, {15466, 43188}, {16229, 64}, {17478, 19614}, {17893, 19611}, {17898, 9255}, {21050, 53012}, {22089, 14379}, {30476, 1073}, {44705, 9292}
X(72474) = trilinear quotient X(i)/X(j) for these (i, j): {1073, 17893}, {2155, 16229}, {14642, 17478}, {17898, 51336}, {19614, 30476}

X(72475) = X(1)X(38576)∩X(75)X(150)

Antreas Hatzipolakis and Peter Moses, euclid 9579.

X(72475) lies on these lines: {1, 38576}, {75, 150}, {950, 24235}, {1365, 13161}, {3664, 65523}, {3878, 56949}, {34846, 37613}, {35991, 53633}, {64573, 70797}

X(72475) = crosspoint of X(7) and X(37791)

X(72476) = X(2)X(33962)∩X(126)X(625)

Antreas Hatzipolakis and Peter Moses, euclid 9579.

X(72476) lies on these lines: {2, 33962}, {22, 38716}, {23, 38623}, {110, 14688}, {111, 40916}, {126, 625}, {511, 43910}, {599, 2854}, {1296, 1995}, {2453, 34227}, {3066, 37751}, {3325, 5297}, {5169, 40340}, {5640, 12149}, {5650, 19662}, {6019, 7292}, {6088, 12093}, {7484, 52698}, {7485, 38698}, {7495, 40556}, {7496, 14650}, {7519, 38797}, {9027, 62299}, {10354, 11580}, {10748, 16063}, {11284, 38593}, {14360, 46336}, {16042, 67838}, {18911, 36883}, {20481, 45012}, {22338, 62937}, {32131, 41394}, {37900, 38805}, {38798, 66369}, {53843, 67591}, {64508, 67223}, {66376, 67586}

X(72476) = midpoint of X(5640) and X(12149)
X(72476) = barycentric product X(i)*X(j) for these {i,j}: {9027, 11054}, {11580, 62299}
X(72476) = barycentric quotient X(i)/X(j) for these {i,j}: {9027, 34898}, {11580, 9084}

X(72477) = X(10627)X(49121)∩X(18369)X(44066)

Antreas Hatzipolakis and Peter Moses, euclid 9579.

X(72477) lies on these lines: {10627, 49121}, {18369, 44066}, {32142, 44756}

X(72477) = midpoint of X(10627) and X(49121)

X(72478) = X(8)X(80)∩X(106)X(3872)

Antreas Hatzipolakis and Peter Moses, euclid 9579.

X(72478) lies on these lines: {8, 80}, {78, 10700}, {106, 3872}, {121, 6735}, {145, 59812}, {200, 13541}, {1054, 4853}, {1293, 63130}, {1357, 5836}, {2136, 4571}, {2827, 39776}, {2975, 14664}, {3038, 3057}, {3729, 9519}, {3880, 6018}, {4861, 11717}, {4915, 70227}, {6736, 11814}, {10744, 64087}, {10914, 53790}, {11731, 27385}, {17460, 23705}, {38460, 63774}, {44311, 66205}

X(72478) = reflection of X(i) in X(j) for these {i,j}: {145, 59812}, {1357, 5836}, {3057, 3038}
X(72478) = incircle of anticomplementary triangle inverse of X(64743)
X(72478) = X(2743)-isoconjugate of X(37627)
X(72478) = barycentric product X(i)*X(j) for these {i,j}: {3880, 37758}, {16594, 56938}, {38460, 62297}
X(72478) = barycentric quotient X(38460)/X(65241)

X(72479) = X(6)X(31748)∩X(3543)X(5032)

Antreas Hatzipolakis and Ercole Suppa, euclid 9584.

X(72479) lies on these lines: {6, 31748}, {1352, 13378}, {3543, 5032}, {10162, 31742}, {14853, 47589}, {18440, 46673}, {30516, 31959}

X(72479) = reflection of X(i) in X(j) for these {i,j}: {18440, 46673}, {31748, 6}, {50730, 20423}

X(72480) = X(182)X(381)∩X(1352)X(13378)

Antreas Hatzipolakis and Ercole Suppa, euclid 9584.

X(72480) lies on these lines: {182, 381}, {1352, 13378}, {1503, 46673}, {10162, 31959}, {14561, 31748}, {19130, 47589}, {29012, 46732}

X(72480) = reflection of X(47589) in X(19130)

X(72481) = X(51)X(520)∩X(523)X(8644)

Antreas Hatzipolakis and Ercole Suppa, euclid 9584.

X(72481) lies on these lines: {51, 520}, {115, 62594}, {512, 14420}, {523, 8644}, {525, 1637}, {543, 66127}, {647, 2799}, {1194, 2485}, {2525, 6587}, {3267, 40022}, {3268, 44560}, {3804, 47126}, {3906, 9208}, {9209, 14417}, {9979, 13306}, {14341, 55188}, {30474, 44564}, {32193, 70168}, {40814, 66122}, {47004, 63736}, {50554, 68787}, {53245, 65778}, {55974, 56922}

X(72481) = reflection of X(i) in X(j) for these {i,j}: {1637, 44552}, {3268, 44560}, {14417, 9209}, {30474, 44564}, {31174, 1637}, {68786, 9979}
X(72481) = center of circle {X(23), X(7426), X(9140)}
X(72481) = pole of the line {1853, 51185} with respect to orthocentroidal circle
X(72481) = pole of the line {46034, 50687} with respect to orthoptic circle of Steiner circumellipse
X(72481) = pole of the line {3545, 7694} with respect to orthoptic circle of Steiner inellipse
X(72481) = pole of the line {6032, 37665} with respect to polar circle
X(72481) = pole of the line {12037, 66185} with respect to Kiepert hyperbola
X(72481) = pole of the line {3543, 5032} with respect to Steiner circumellipse
X(72481) = pole of the line {182, 381} with respect to Steiner inellipse
X(72481) = pole of the line {11645, 12101} with respect to Steiner midellipse
X(72481) = pole of the line {598, 3424} with respect to orthoptic circle of orthoptic circle of the Steiner Inellipse
X(72481) = pole of the line {14389, 68734} with respect to dual conic of anticomplementary circle
X(72481) = pole of the line {1992, 2549} with respect to dual conic of orthoptic circle of the Steiner Inellipse
X(72481) = pole of the line {3363, 51541} with respect to dual conic of anti-Artzt circle
X(72481) = pole of the line {9209, 50642} with respect to dual conic of Wallace hyperbola
X(72481) = cross-difference of every pair of points on the line X(353)X(3148)
X(72481) = barycentric product X(850)*X(35268)
X(72481) = barycentric quotient X(35268)/X(110)
X(72481) = trilinear product X(1577)*X(35268)
X(72481) = trilinear quotient X(163)/X(35268)
X(72481) = {X(2525),X(6587)}-harmonic conjugate of X(31277)

X(72482) = X(290)X(15740)∩X(311)X(36889)

Antreas Hatzipolakis and Ercole Suppa, euclid 9604.

X(72482) lies on the circumconic {{A,B,C,X(290),X(5485)}} and these lines: {290, 15740}, {311, 36889}, {5485, 37874}, {9462, 52223}

X(72482) = barycentric product X(i)*X(j) for these (i, j): {37874, 69380}
X(72482) = barycentric quotient X(i)/X(j) for these (i, j): {5651, 5065}, {69380, 17811}
X(72482) = trilinear quotient X(i)/X(j) for these (i, j): {1496, 69380}

X(72483) = HUNGERBÜHLER MIDPOINT

Barycentrics    a (b + c) - 2 x ( a- x) : : , where
x= ((s1 + 2*Sqrt[6*s2 - s1^2]*Sinh[ArcSinh[(s1^3 - 9*s1*s2 + 54*s3)/(6*s2 - s1^2)^(3/2)]/3])/6,
where s1 = a + b + c, s2 = b c + c a + a b and s3 = a b c..
See below for a construction of a segment of length x.

Contributed by Norbert Hungerbühler, May 31, 2026. The length x is the length |BD| in the following construction: Let P be the point such that the cevians AD, BE, CF passing through P satisfy |AF| = |BD| = |CE|.

(more notes forthcoming)

X(72483) lies on no line X(i)X(j) for 1 <= i < j <= 72482.

X(72484) = X(1)X(256)∩X(56)X(4278)

Marian Cucoanes and Francisco Javier García Capitán, euclid 9618.

X(72484) lies on these lines: {1, 256}, {56, 4278}, {65, 3743}, {950, 64797}, {986, 6176}, {1319, 3636}, {1365, 59809}, {1385, 63997}, {1388, 1464}, {1428, 5259}, {1834, 42443}, {1962, 52567}, {2646, 4854}, {3027, 41193}, {3074, 20958}, {3191, 20683}, {3724, 58889}, {3911, 59723}, {4014, 4303}, {4017, 6161}, {4516, 18673}, {5091, 6986}, {5428, 67433}, {5496, 10974}, {12081, 22076}, {13755, 63295}, {17114, 37523}, {21926, 57284}, {22197, 51436}, {24851, 48893}, {24929, 68846}, {31880, 40952}, {35650, 58380}, {37225, 40966}, {41003, 51715}

X(72485) = X(4)X(49)∩X(50)X(2165)

Antreas Hatzipolakis and Ercole Suppa, euclid 9623.

X(72485) lies on circumconic with center X(137) and these lines: {4, 49}, {50, 2165}, {143, 13450}, {265, 14111}, {311, 11591}, {327, 70210}, {381, 16837}, {546, 3613}, {565, 1154}, {924, 10412}, {1141, 12092}, {3153, 3459}, {3627, 43917}, {3845, 61133}, {3853, 17703}, {5562, 25043}, {14889, 18377}, {34449, 44288}

X(72485) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(3),X(46138)}, {A,B,C,X(4),X(5)}, {A,B,C,X(30),X(42466)}, {A,B,C,X(49),X(143)}, {A,B,C,X(50),X(52)}, {A,B,C,X(51),X(11591)}, {A,B,C,X(68),X(9545)}, {A,B,C,X(156),X(21400)}, {A,B,C,X(216),X(3521)}, {A,B,C,X(324),X(13585)}}
X(72485) = barycentric product X(i)*X(j) for these (i,j): {324, 16867}, {343, 59278}, {12092, 18314}
X(72485) = barycentric quotient X(i)/X(j) for these (i,j): {53, 16868}, {216, 18436}, {12092, 18315}, {16867, 97}, {59278, 275}
X(72485) = trilinear product X(i)*X(j) for these (i,j): {2618, 12092}, {44706, 59278}
X(72485) = trilinear quotient X(i)/X(j) for these (i,j): {2169, 16867}, {2190, 59278}, {12092, 36134}, {18436, 44706}

X(72486) = X(3)X(1232)∩X(140)X(184)

Antreas Hatzipolakis and Ercole Suppa, euclid 9624.

X(72486) lies on these lines: {3, 1232}, {25, 44732}, {32, 1595}, {140, 184}, {2200, 21012}, {3147, 40352}, {3541, 54034}, {10547, 14786}, {11411, 42065}, {17714, 52153}

X(72486) = isogonal conjugate of X(64051)
X(72486) = lies on circumconics with center X(i) for i in {11792, 17423}
X(72486) = lies on all circumconics with perspector on the line {3049, 55280}
X(72486) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(2),X(1595)}, {A,B,C,X(3),X(25)}, {A,B,C,X(4),X(140)}, {A,B,C,X(5),X(66)}, {A,B,C,X(6),X(13336)}, {A,B,C,X(24),X(34436)}, {A,B,C,X(30),X(3147)}, {A,B,C,X(54),X(2980)}, {A,B,C,X(64),X(96)}, {A,B,C,X(67),X(847)}}
X(72486) = trilinear pole of line {X(3049), X(55280)}
X(72486) = barycentric quotient X(6)/X(64051)

X(72487) = X(3)X(476)∩X(30)X(5972)

Antreas Hatzipolakis and Ercole Suppa, euclid 9633.

X(72487) lies on these lines: {2, 66778}, {3, 476}, {20, 57306}, {30, 5972}, {140, 64510}, {186, 66771}, {376, 20957}, {382, 66801}, {541, 33505}, {549, 25641}, {550, 3258}, {631, 66781}, {1511, 36164}, {1656, 14989}, {3520, 66790}, {3523, 57305}, {3524, 34193}, {3528, 14731}, {3529, 66819}, {3530, 22104}, {3534, 44967}, {3579, 66770}, {3628, 68308}, {5010, 33964}, {5054, 66772}, {5122, 59825}, {5663, 47084}, {6723, 21316}, {7280, 33965}, {10304, 66792}, {11749, 62069}, {12006, 68070}, {12017, 66805}, {12041, 14934}, {12052, 68084}, {12108, 68309}, {12121, 65086}, {12295, 21317}, {13391, 68074}, {14480, 15041}, {14508, 32609}, {14611, 51522}, {14891, 66818}, {15051, 36193}, {15111, 35495}, {15646, 47327}, {15688, 34312}, {15692, 66788}, {15693, 66786}, {15698, 66817}, {15710, 66820}, {15712, 18319}, {16111, 68472}, {16163, 16340}, {17502, 66789}, {17511, 38723}, {21269, 23515}, {32423, 55319}, {34128, 34150}, {34209, 38727}, {34577, 63708}, {36172, 38794}, {37950, 70569}, {37968, 62501}, {45694, 46045}, {54173, 66810}, {55610, 66807}, {62067, 66802}, {62100, 66791}, {66776, 67706}

X(72487) = midpoint of X(i) and X(j) for these {i,j}: {3, 38610}, {20, 66795}, {477, 38609}, {550, 3258}, {1511, 36164}, {3579, 66770}, {12041, 14934}, {12295, 21317}, {14611, 51522}, {16111, 68472}, {16163, 16340}, {37950, 70569}
X(72487) = reflection of X(i) in X(j) for these {i,j}: {21316, 6723}, {22104, 3530}, {68070, 12006}, {68084, 12052}, {68307, 3}, {68308, 3628}, {68309, 12108}
X(72487) = complement of X(66778)
X(72487) = reflection of X(i) in the line X(j)X(k) for these {i,j,k}: {61574, 140, 523}, {68555, 5, 523}
X(72487) = center of circles {{ X(i), X(j), X(k) }} for these {i, j, k}: {3, 38610, 47084}, {550, 3154, 3258}, {22104, 40557, 55308}
X(72487) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 477, 38609}, {3, 38581, 38700}, {3, 38610, 16168}, {3, 38701, 38610}, {20, 57306, 66795}, {477, 38609, 16168}, {3523, 66773, 57305}, {5054, 66772, 66787}, {38609, 38610, 477}

X(72488) = REFLECTION ON X(1099) IN X(10)

X(72488) lies on the inellipse with center X(10), of which the perspector is X(75), here named the Drucker-Moses inellipse. This ellipse is given by the barycentric equation

a^2*x^2 + b^2*y^2 + c^2*z^2 - 2*(b*c*y*z + c*a*x*z + a*b*x*y) = 0.

Click here to download a Geogebra file showing the Drucker-Moses Inellipse.

The Drucker-Moses inellipse passes through X(i) for i = 244, 1099, 1109, 1111, 4712, 4736, 4738, 10504, 17879, 23996, 24010, 24014, 24023, 24026, 24028, 24031, 24034, 24038, and 72489-to-72510.

The line If P is on the line X(514)X(661), then the crosspoint of P and X(75) is on the Drucker-Moses inellipse. Also, the Ceva conjugate of P and X(75) is on the same conic. Moreover, the dual of the Drucker-Moses inellipse is the Mandart circumellipse, which passes through X(i) for i = 88, 100, 162, 190, 651, 653, 655, 658, 660, and others. (Peter Moses, June 7, 2026).

X(72488) lies on Drucker-Moses inellipse and these lines: {1, 44693}, {8, 4736}, {10, 1099}, {200, 643}, {323, 3935}, {1109, 23821}, {2349, 9904}, {3578, 4712}, {3626, 24028}, {4420, 7343}, {6741, 53524}, {8286, 62551}, {10039, 24034}, {21085, 23996}, {24014, 25006}

X(72488) = reflection of X(1099) in X(10)
X(72488) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 57066}, {1494, 32679}
X(72488) = X(56)-isoconjugate of X(55017)
X(72488) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 55017}, {3700, 43682}, {35057, 1}, {55042, 26700}, {56948, 35049}
X(72488) = crosspoint of X(75) and X(57066)
X(72488) = pole of line {55186, 57066} with respect to the ABCGGe
X(72488) = pole of line {46819, 50148} with respect to the Jerabek circumhyperbola of the excentral triangle
X(72488) = pole of line {79, 942} with respect to the Mandart parabola
X(72488) = barycentric product X(i)*X(j) for these {i,j}: {312, 3024}, {346, 7266}, {4391, 66989}, {6741, 56440}, {35057, 57066}, {42033, 53524}
X(72488) = barycentric quotient X(i)/X(j) for these {i,j}: {9, 55017}, {3024, 57}, {6741, 43682}, {7266, 279}, {9404, 26700}, {35057, 38340}, {35193, 35049}, {53524, 52374}, {57066, 65292}, {66989, 651}

X(72489) = REFLECTION ON X(17879) IN X(10)

X(72489) lies on the Drucker-Moses inellipse and these lines: {1, 65201}, {10, 17879}, {162, 13221}, {244, 40940}, {1109, 3914}, {1111, 23537}, {2292, 24010}, {5546, 13311}, {24026, 24210}, {26000, 62811}

X(72489) = reflection of X(17879) in X(10)
X(72489) = X(75)-Ceva conjugate of X(857)
X(72489) = X(37202)-isoconjugate of X(57735)
X(72489) = X(i)-Dao conjugate of X(j) for these (i,j): {44661, 1}, {65887, 37202}
X(72489) = crosspoint of X(75) and X(857)
X(72489) = crosssum of X(31) and X(57735)
X(72489) = barycentric product X(i)*X(j) for these {i,j}: {75, 65887}, {312, 3320}, {857, 44661}
X(72489) = barycentric quotient X(i)/X(j) for these {i,j}: {3320, 57}, {39690, 26702}, {44661, 37202}, {65887, 1}

X(72490) = REFLECTION ON X(23996) IN X(10)

X(72490) lies on the Drucker-Moses inellipse and these lines: {8, 38844}, {10, 23996}, {200, 7257}, {290, 35041}, {1821, 9860}, {1909, 70060}, {2170, 24026}, {4459, 40608}, {4692, 4736}, {4696, 4712}

X(72490) = reflection of X(23996) in X(10)
X(72490) = X(i)-isoconjugate of X(j) for these (i,j): {56, 55018}, {1262, 59480}, {23979, 40099}
X(72490) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 55018}, {3709, 65011}, {3907, 1}
X(72490) = barycentric product X(i)*X(j) for these {i,j}: {312, 3023}, {4374, 4529}, {4459, 17787}, {6645, 24026}, {7207, 59761}, {28659, 61053}
X(72490) = barycentric quotient X(i)/X(j) for these {i,j}: {9, 55018}, {2310, 59480}, {3023, 57}, {3287, 29055}, {3907, 37137}, {4459, 1432}, {4529, 3903}, {6645, 7045}, {7207, 1407}, {10799, 2149}, {24026, 40099}, {40608, 65011}, {61053, 604}

X(72491) = CROSSPOINT OF X(75) AND X(661)

X(72491) lies on the Drucker-Moses inellipse and these lines: {1, 1581}, {6, 23648}, {10, 43685}, {31, 163}, {38, 24038}, {42, 61168}, {75, 4602}, {99, 3571}, {101, 5147}, {115, 21725}, {244, 17761}, {255, 36051}, {292, 68861}, {512, 1015}, {523, 21138}, {756, 4103}, {774, 24023}, {849, 18757}, {1018, 4094}, {1019, 7207}, {1084, 52065}, {1089, 7148}, {1099, 17872}, {1111, 3123}, {1356, 7063}, {1500, 14990}, {1755, 70344}, {1917, 1973}, {1923, 2179}, {1928, 18832}, {1930, 23478}, {2227, 14210}, {2228, 57040}, {2236, 69958}, {2292, 4712}, {2388, 4093}, {2611, 4475}, {2642, 2643}, {3121, 4117}, {3230, 46195}, {3675, 17476}, {3726, 8619}, {3728, 4738}, {3747, 40910}, {3778, 4424}, {3992, 20711}, {4151, 21208}, {4161, 52535}, {4493, 64133}, {4593, 43763}, {5539, 37128}, {5902, 63497}, {8625, 23398}, {9331, 59272}, {9336, 72125}, {16584, 69510}, {16592, 65546}, {17065, 23944}, {17876, 17879}, {18047, 68857}, {18298, 57992}, {18697, 23498}, {18827, 35040}, {20456, 70872}, {21700, 21816}, {21814, 62550}, {23462, 57015}, {23668, 24028}, {23672, 24026}, {24338, 64863}, {24962, 68376}, {40471, 71792}

X(72491) = reflection of X(i) in X(j) for these {i,j}: {4093, 68940}, {4128, 1015}
X(72491) = isogonal conjugate of X(24037)
X(72491) = isotomic conjugate of the isogonal conjugate of X(4117)
X(72491) = isogonal conjugate of the isotomic conjugate of X(2643)
X(72491) = X(i)-Ceva conjugate of X(j) for these (i,j): {1, 2084}, {31, 798}, {75, 661}, {756, 4079}, {872, 50487}, {1973, 1924}, {3121, 1084}, {3122, 3124}, {7148, 4705}, {18298, 514}, {18757, 667}, {18832, 1577}, {38252, 810}, {66971, 512}
X(72491) = X(i)-isoconjugate of X(j) for these (i,j): {1, 24037}, {2, 4590}, {4, 47389}, {6, 34537}, {7, 6064}, {8, 7340}, {32, 44168}, {59, 18021}, {63, 46254}, {69, 18020}, {75, 24041}, {76, 249}, {81, 4601}, {86, 4600}, {92, 62719}, {100, 4623}, {101, 52612}, {110, 670}, {112, 52608}, {162, 55202}, {163, 4602}, {190, 4610}, {250, 305}, {261, 4998}, {274, 4567}, {310, 4570}, {317, 57763}, {325, 57991}, {326, 23999}, {333, 4620}, {385, 39292}, {523, 31614}, {524, 52940}, {525, 55270}, {552, 4076}, {561, 1101}, {593, 31625}, {643, 4625}, {645, 4573}, {648, 4563}, {651, 4631}, {662, 799}, {668, 52935}, {689, 1634}, {690, 64460}, {757, 7035}, {765, 873}, {805, 880}, {811, 4592}, {850, 59152}, {874, 36066}, {877, 17932}, {886, 5118}, {892, 5468}, {1016, 1509}, {1110, 57992}, {1275, 7058}, and many others
X(72491) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 24037}, {9, 34537}, {115, 4602}, {125, 55202}, {136, 57968}, {206, 24041}, {244, 670}, {512, 1}, {513, 873}, {514, 57992}, {523, 561}, {647, 40364}, {669, 33760}, {798, 7304}, {1015, 52612}, {1084, 799}, {3005, 75}, {3124, 55239}, and many others
X(72491) = cevapoint of X(1084) and X(7063)
X(72491) = crosspoint of X(i) and X(j) for these (i,j): {1, 55240}, {31, 798}, {75, 661}, {213, 58301}, {512, 1500}, {669, 61364}, {756, 4079}, {872, 50487}, {3121, 3122}, {3124, 61052}, {4017, 65011}
X(72491) = crosssum of X(i) and X(j) for these (i,j): {2, 21295}, {31, 662}, {75, 799}, {99, 1509}, {190, 71981}, {304, 4592}, {385, 68153}, {643, 27958}, {668, 33775}, {670, 18021}, {757, 4610}, {873, 4623}, {3570, 4094}, {4590, 6064}, {4600, 4601}, {4602, 33778}, {24038, 24039}, {24041, 62719}, {27569, 61174}
X(72491) = crossdifference of every pair of points on line {662, 799}
X(72491) = barycentric product X(i)*X(j) for these {i,j}: {1, 3124}, {6, 2643}, {9, 61052}, {10, 3121}, {19, 20975}, {25, 3708}, {31, 115}, {32, 1109}, {37, 3122}, {38, 51906}, {41, 1365}, {42, 3125}, {48, 8754}, {58, 21833}, {63, 2971}, {75, 1084}, {76, 4117}, {85, 7063}, {92, 65751}, {125, 1973}, {163, 8029}, {181, 2170}, {213, 3120}, {244, 1500}, {256, 21823}, {304, 42068}, {310, 52065}, {312, 1356}, {338, 560}, {351, 23894}, {512, 661}, {513, 4079}, {514, 50487}, {523, 798}, {561, 9427}, {594, 3248}, {604, 4092}, {649, 4705}, {650, 66928}, {656, 2489}, {662, 22260}, {663, 57185}, {667, 4024}, {669, 1577}, {688, 18070}, {690, 69475}, {692, 21131}, {693, 53581}, {756, 1015}, {799, 23099}, {810, 2501}, {822, 58757}, {850, 1924}, {872, 1086}, {876, 46390}, {893, 21725}, {897, 21906}, {922, 64258}, {923, 1648}, {1018, 8034}, {1019, 58289}, {1042, 36197}, {1089, 1977}, {1096, 3269}, {1101, 61339}, {1111, 7109}, {1254, 14936}, {1333, 21043}, {1334, 53540}, {1400, 4516}, {1402, 21044}, {1501, 23994}, {1581, 2086}, and many others
X(72491) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 34537}, {6, 24037}, {25, 46254}, {31, 4590}, {32, 24041}, {41, 6064}, {42, 4601}, {48, 47389}, {75, 44168}, {115, 561}, {125, 40364}, {163, 31614}, {181, 67038}, {184, 62719}, {213, 4600}, {338, 1928}, {351, 24039}, {512, 799}, {513, 52612}, {523, 4602}, {560, 249}, {604, 7340}, {647, 55202}, {649, 4623}, {656, 52608}, {661, 670}, {663, 4631}, {667, 4610}, {669, 662}, {756, 31625}, {798, 99}, {810, 4563}, {872, 1016}, {875, 65258}, {881, 37134}, {923, 52940}, {1015, 873}, {1084, 1}, {1086, 57992}, {1109, 1502}, {1356, 57}, {1365, 20567}, {1402, 4620}, {1500, 7035}, {1501, 1101}, {1577, 4609}, {1645, 2234}, {1917, 23357}, {1918, 4567}, {1919, 52935}, {1924, 110}, {1967, 39292}, {1973, 18020}, {1977, 757}, {1980, 4556}, {2084, 4576}, {2086, 1966}, {2170, 18021}, {2205, 4570}, {2207, 23999}, {2422, 36036}, {2489, 811}, {2501, 57968}, {2616, 55218}, {2632, 70249}, {2640, 61497}, {2643, 76}, {2971, 92}, {3005, 55239}, {3049, 4592}, {3120, 6385}, {3121, 86}, {3122, 274}, {3124, 75}, {3125, 310}, {3248, 1509}, {3271, 52379}, {3572, 65285}, {3708, 305}, {3709, 7257}, {4024, 6386}, {4041, 62534}, {4079, 668}, {4092, 28659}, {4117, 6}, and many others
{X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 2085, 72112}, {6, 23861, 23648}, {1356, 7063, 65751}, {3571, 7170, 99}

X(72492) = CROSSPOINT OF X(75) AND X(24018)

X(72492) lies on the Drucker-Moses inellipse and these lines: {38, 24023}, {63, 1956}, {75, 57973}, {255, 4575}, {307, 57842}, {520, 55044}, {1099, 36063}, {1363, 7065}, {2632, 70368}, {16730, 42080}, {24028, 56839}

X(72492) = isogonal conjugate of X(24021)
X(72492) = isotomic conjugate of the isogonal conjugate of X(42080)
X(72492) = isogonal conjugate of the isotomic conjugate of X(24020)
X(72492) = isotomic conjugate of the polar conjugate of X(37754)
X(72492) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 24018}, {16730, 35071}
X(72492) = X(42080)-cross conjugate of X(37754)
X(72492) = X(i)-isoconjugate of X(j) for these (i,j): {1, 24021}, {2, 23590}, {4, 32230}, {6, 34538}, {32, 57556}, {75, 24022}, {76, 23975}, {112, 15352}, {158, 24000}, {162, 36126}, {250, 1093}, {393, 23582}, {648, 6529}, {823, 24019}, {1096, 23999}, {1304, 58071}, {2052, 23964}, {2404, 32646}, {4590, 36434}, {6524, 18020}, {6525, 44181}, {6528, 32713}, {8754, 65961}, {14249, 15384}, {14618, 59153}, {16813, 61193}, {18027, 41937}, {23977, 65265}, {23984, 36421}, {24024, 36092}, {36127, 52921}, {42401, 61194}, {52604, 52779}, {57219, 65181}
X(72492) = X(i)-Dao conjugate of X(j) for these (i,j): {3, 24021}, {9, 34538}, {125, 36126}, {206, 24022}, {520, 1}, {525, 57806}, {647, 6521}, {1147, 24000}, {6376, 57556}, {6503, 23999}, {17434, 92}, {32664, 23590}, {34591, 15352}, {35071, 823}, {36033, 32230}, {38985, 107}, {46093, 162}, {55066, 6529}, {62573, 57973}
X(72492) = cevapoint of X(7065) and X(35071)
X(72492) = crosspoint of X(i) and X(j) for these (i,j): {75, 24018}, {656, 19614}
X(72492) = crosssum of X(i) and X(j) for these (i,j): {31, 24019}, {158, 36126}, {162, 1895}, {24023, 24024}
X(72492) = crossdifference of every pair of points on line {24019, 24024}
X(72492) = barycentric product X(i)*X(j) for these {i,j}: {6, 24020}, {10, 16730}, {31, 23974}, {63, 2972}, {69, 37754}, {75, 35071}, {76, 42080}, {85, 7065}, {125, 6507}, {255, 15526}, {304, 34980}, {312, 1363}, {326, 3269}, {339, 4100}, {394, 2632}, {520, 24018}, {577, 17879}, {656, 52613}, {810, 4143}, {822, 3265}, {823, 23103}, {1092, 20902}, {1102, 20975}, {1367, 2289}, {1577, 68150}, {1969, 66896}, {3682, 70368}, {3708, 3964}, {3719, 61058}, {3942, 4158}, {3949, 7215}, {3990, 17216}, {4091, 57109}, {4575, 23616}, {7068, 7125}, {7138, 23983}, {14208, 32320}, {19611, 47409}, {23224, 68130}, {23613, 57973}, {36054, 66980}, {36793, 52430}, {41219, 62276}
X(72492) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 34538}, {6, 24021}, {31, 23590}, {32, 24022}, {48, 32230}, {75, 57556}, {125, 6521}, {255, 23582}, {394, 23999}, {520, 823}, {560, 23975}, {577, 24000}, {647, 36126}, {656, 15352}, {810, 6529}, {822, 107}, {1363, 57}, {2430, 36043}, {2631, 58071}, {2632, 2052}, {2638, 36421}, {2972, 92}, {3265, 57973}, {3269, 158}, {3708, 1093}, {3964, 46254}, {4100, 250}, {4143, 57968}, {6507, 18020}, {7065, 9}, {7138, 23984}, {15526, 57806}, {16730, 86}, {17879, 18027}, {20975, 6520}, {23103, 24018}, {23224, 52919}, {23613, 822}, {23974, 561}, {24018, 6528}, {24020, 76}, {32320, 162}, {34980, 19}, {35071, 1}, {36054, 52921}, {36433, 23995}, {37754, 4}, {39201, 24019}, {41219, 1953}, {42080, 6}, {47409, 1895}, {52430, 23964}, {52613, 811}, {66896, 48}, {68150, 662}

X(72493) = CROSSPOINT OF X(75) AND X(52043)

X(72493) lies on the Drucker-Moses inellipse and these lines: {1, 56663}, {10, 20899}, {75, 32020}, {76, 334}, {244, 321}, {726, 20366}, {891, 4738}, {1109, 20639}, {3263, 20433}, {3705, 20237}, {3837, 20908}, {3971, 36951}, {4598, 20375}, {8026, 34020}, {18830, 35032}, {20494, 20551}, {20532, 20690}, {59724, 62553}

X(72493) = X(75)-Ceva conjugate of X(52043)
X(72493) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57535}, {20332, 34077}
X(72493) = X(i)-Dao conjugate of X(j) for these (i,j): {726, 1}, {3948, 3253}, {6376, 57535}, {17793, 727}, {20532, 20332}, {22116, 63881}
X(72493) = crosspoint of X(i) and X(j) for these (i,j): {75, 52043}, {39798, 40881}
X(72493) = crosssum of X(i) and X(j) for these (i,j): {31, 34077}, {32911, 62421}
X(72493) = barycentric product X(i)*X(j) for these {i,j}: {75, 20532}, {310, 20690}, {312, 59806}, {561, 20671}, {726, 52043}, {1575, 35538}, {1969, 20759}, {20908, 23354}
X(72493) = barycentric quotient X(i)/X(j) for these {i,j}: {75, 57535}, {726, 20332}, {1575, 727}, {3009, 34077}, {20532, 1}, {20671, 31}, {20690, 42}, {20759, 48}, {20908, 62638}, {35538, 32020}, {52043, 3226}, {52656, 63881}, {59806, 57}, {62553, 3253}, {68125, 1919}

X(72494) = CROSSPOINT OF X(75) AND X(6381)

X(72494) lies on the Drucker-Moses inellipse and these lines: {75, 244}, {321, 1111}, {678, 874}, {756, 6382}, {1109, 18697}, {3263, 20900}, {3766, 4738}, {3994, 6381}, {4358, 62553}, {4671, 27474}, {4712, 65867}, {8031, 13466}, {20895, 24026}, {21427, 70826}, {40089, 64222}

X(72494) = isotomic conjugate of the isogonal conjugate of X(42083)
X(72494) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 6381}, {1978, 4728}
X(72494) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57542}, {898, 23349}, {23892, 34075}, {32718, 43928}
X(72494) = X(i)-Dao conjugate of X(j) for these (i,j): {536, 1}, {891, 3248}, {1646, 649}, {6376, 57542}, {13466, 37129}, {39011, 23892}, {40614, 739}, {52875, 62763}, {52882, 3227}
X(72494) = crosspoint of X(75) and X(6381)
X(72494) = barycentric product X(i)*X(j) for these {i,j}: {75, 13466}, {76, 42083}, {312, 61078}, {514, 68111}, {536, 6381}, {561, 59797}, {693, 68131}, {899, 35543}, {1978, 14434}, {3994, 70146}, {4009, 69660}, {4728, 41314}, {6386, 68134}, {8031, 31002}, {28659, 61049}
X(72494) = barycentric quotient X(i)/X(j) for these {i,j}: {75, 57542}, {536, 37129}, {891, 23892}, {899, 739}, {3768, 23349}, {4728, 43928}, {6381, 3227}, {8031, 899}, {13466, 1}, {14404, 69480}, {14430, 69481}, {14431, 69478}, {14434, 649}, {14441, 3249}, {23343, 34075}, {23891, 898}, {35543, 31002}, {39011, 3248}, {41314, 4607}, {42083, 6}, {52959, 62763}, {59797, 31}, {61049, 604}, {61078, 57}, {68111, 190}, {68131, 100}, {68134, 667}, {68825, 32718}
X(72494) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {75, 1978, 72140}, {75, 72140, 244}

X(72495) = CROSSPOINT OF X(75) AND X(3948)

X(72495) lies on the Drucker-Moses inellipse and these lines: {1, 7257}, {8, 38844}, {10, 43685}, {75, 40017}, {244, 3741}, {321, 1109}, {350, 740}, {561, 49474}, {670, 35025}, {799, 13174}, {873, 18059}, {1089, 4103}, {1111, 4647}, {2643, 4033}, {3263, 49544}, {3264, 57040}, {3687, 24026}, {3930, 20501}, {4010, 4155}, {4094, 4368}, {4117, 18793}, {4128, 70700}, {4154, 8300}, {4716, 41250}, {4738, 68968}, {7983, 55245}, {11711, 55243}, {17786, 23944}, {17879, 20235}, {18140, 68866}, {20360, 20440}, {25298, 70872}, {25685, 38220}, {33931, 68865}, {35538, 70828}, {62571, 71085}

X(72495) = isotomic conjugate of the isogonal conjugate of X(4094)
X(72495) = X(75)-Ceva conjugate of X(3948)
X(72495) = X(i)-isoconjugate of X(j) for these (i,j): {6, 70665}, {32, 57554}, {56, 62714}, {593, 52205}, {757, 70018}, {849, 30663}, {873, 18267}, {875, 36066}, {1509, 51856}, {18268, 37128}, {18827, 70663}
X(72495) = X(i)-Dao conjugate of X(j) for these (i,j): {1, 62714}, {9, 70665}, {740, 1}, {804, 7207}, {1966, 1509}, {4075, 30663}, {6376, 57554}, {8299, 741}, {35068, 37128}, {38978, 875}, {39786, 1019}, {40607, 70018}, {62553, 18827}
X(72495) = crosspoint of X(75) and X(3948)
X(72495) = crosssum of X(31) and X(18268)
X(72495) = barycentric product X(i)*X(j) for these {i,j}: {75, 35068}, {76, 4094}, {312, 3027}, {321, 4368}, {350, 4037}, {561, 70662}, {594, 39044}, {693, 68132}, {740, 3948}, {756, 56660}, {1089, 4366}, {1500, 64222}, {1577, 68153}, {2238, 35544}, {3766, 69012}, {3975, 7235}, {4103, 27855}, {4155, 27853}, {8300, 28654}, {18891, 66878}, {28659, 61059}
X(72495) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 70665}, {9, 62714}, {75, 57554}, {594, 30663}, {740, 37128}, {756, 52205}, {872, 51856}, {874, 65258}, {1089, 40098}, {1500, 70018}, {2238, 741}, {3027, 57}, {3570, 36066}, {3747, 18268}, {3948, 18827}, {3985, 56154}, {4037, 291}, {4094, 6}, {4154, 69891}, {4155, 3572}, {4366, 757}, {4368, 81}, {4433, 2311}, {7109, 18267}, {8300, 593}, {21803, 30657}, {21832, 66937}, {27853, 65285}, {35068, 1}, {35078, 7207}, {35544, 40017}, {39044, 1509}, {41333, 70663}, {46390, 875}, {51328, 849}, {56660, 873}, {61059, 604}, {66878, 1911}, {68132, 100}, {68153, 662}, {69012, 660}, {69580, 18787}, {69899, 4584}, {70662, 31}, {71136, 39276}

X(72496) = CROSSPOINT OF X(75) AND X(3766)

X(72496) lies on the Drucker-Moses inellipse and these lines: {1, 51560}, {75, 4583}, {244, 693}, {350, 740}, {514, 1111}, {726, 4712}, {1109, 40619}, {3263, 20433}, {4151, 21208}, {4358, 62553}, {4736, 57029}, {4738, 6381}, {6377, 24782}, {10009, 25757}, {20880, 71428}, {23794, 45233}, {24236, 28161}, {24427, 62697}, {27918, 39786}, {27951, 70826}, {30663, 67197}

X(72496) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 3766}, {39044, 27855}
X(72496) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57566}, {660, 34067}, {765, 70018}, {875, 65363}, {1016, 51856}, {1110, 30663}, {1252, 52205}, {1911, 5378}, {7035, 18267}, {23990, 40098}
X(72496) = X(i)-Dao conjugate of X(j) for these (i,j): {513, 70018}, {514, 30663}, {661, 52205}, {665, 3252}, {812, 1}, {1966, 1016}, {3808, 72125}, {3837, 40155}, {6376, 57566}, {6651, 5378}, {25381, 2108}, {35119, 660}, {39786, 1018}, {40623, 813}, {62552, 291}, {62558, 292}
X(72496) = crosspoint of X(i) and X(j) for these (i,j): {75, 3766}, {3948, 18070}, {27855, 39044}
X(72496) = crosssum of X(31) and X(34067)
X(72496) = crossdifference of every pair of points on line {34067, 54325}
X(72496) = barycentric product X(i)*X(j) for these {i,j}: {75, 35119}, {244, 56660}, {350, 27918}, {514, 27855}, {659, 65101}, {693, 4375}, {812, 3766}, {1015, 64222}, {1086, 39044}, {1111, 4366}, {1577, 68156}, {1921, 27846}, {3948, 68992}, {4124, 10030}, {4368, 16727}, {4486, 63222}, {4583, 46051}, {6654, 64644}, {8300, 23989}, {28659, 61061}
X(72496) = barycentric quotient X(i)/X(j) for these {i,j}: {75, 57566}, {239, 5378}, {244, 52205}, {659, 813}, {812, 660}, {1015, 70018}, {1086, 30663}, {1111, 40098}, {1977, 18267}, {3248, 51856}, {3570, 65363}, {3766, 4562}, {4124, 4876}, {4366, 765}, {4375, 100}, {4486, 65210}, {8300, 1252}, {8632, 34067}, {12835, 2149}, {23597, 30664}, {27846, 292}, {27855, 190}, {27918, 291}, {35119, 1}, {38989, 3252}, {39044, 1016}, {46051, 659}, {51328, 1110}, {53541, 30657}, {56660, 7035}, {61061, 604}, {63222, 37207}, {64222, 31625}, {64644, 40217}, {65101, 4583}, {68156, 662}, {68992, 37128}

X(72497) = X(1)X(60488)∩X(75)X(51560)

X(72497) lies on the Drucker-Moses inellipse and these lines: {1, 60488}, {75, 51560}, {200, 51562}, {244, 1738}, {519, 1111}, {522, 4712}, {740, 1109}, {1090, 14942}, {4151, 4736}, {4358, 6745}, {4391, 4738}, {4645, 17145}, {6735, 24010}, {20173, 72061}, {21185, 24028}, {24715, 68356}, {70288, 70290}

X(72497) = X(i)-Dao conjugate of X(j) for these (i,j): {528, 1}, {35113, 37131}
X(72497) = barycentric product X(i)*X(j) for these {i,j}: {75, 35113}, {312, 3322}, {514, 68114}, {4391, 66981}, {42722, 70288}
X(72497) = barycentric quotient X(i)/X(j) for these {i,j}: {528, 37131}, {1642, 61480}, {2246, 840}, {3322, 57}, {35113, 1}, {52227, 59021}, {66981, 651}, {68114, 190}

X(72498) = X(31)X(36061)∩X(75)X(36063)

X(72498) lies on the Drucker-Moses inellipse and these lines: {31, 36061}, {75, 36036}, {656, 23996}, {896, 1109}, {1099, 1577}, {1749, 19555}, {2236, 6149}, {4736, 69325}, {14208, 24038}, {14210, 17879}, {24026, 50755}

X(72498) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57547}, {5649, 14998}, {23350, 53691}, {52179, 54554}, {53177, 64775}
X(72498) = X(i)-Dao conjugate of X(j) for these (i,j): {542, 1}, {6376, 57547}, {57464, 32679}
X(72498) = barycentric product X(i)*X(j) for these {i,j}: {63, 38552}, {75, 23967}, {92, 65750}, {1577, 68158}, {14208, 60505}, {32680, 60340}
X(72498) = barycentric quotient X(i)/X(j) for these {i,j}: {75, 57547}, {2247, 842}, {23967, 1}, {23968, 36096}, {38552, 92}, {46048, 2247}, {60340, 32679}, {60505, 162}, {65750, 63}, {66958, 36085}, {68158, 662}

X(72499) = CROSSPOINT OF X(75) AND X(4728)

X(72499) lies on the Drucker-Moses inellipse and these lines: {244, 514}, {523, 21138}, {726, 4738}, {1111, 20906}, {1921, 52882}, {3994, 6381}, {4555, 24419}, {4695, 4712}, {19945, 30583}, {21129, 21140}, {21142, 69374}, {24038, 57029}, {24139, 69375}, {24193, 35092}, {57725, 65053}

X(72499) = reflection of X(3994) in X(6381)
X(72499) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 4728}, {244, 19945}, {42083, 14434}
X(72499) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57572}, {739, 5381}, {889, 32718}, {1252, 57542}, {4607, 34075}
X(72499) = X(i)-Dao conjugate of X(j) for these (i,j): {536, 7035}, {661, 57542}, {891, 1}, {1646, 190}, {6376, 57572}, {14434, 37129}, {39011, 4607}, {40614, 5381}
X(72499) = crosspoint of X(i) and X(j) for these (i,j): {75, 4728}, {244, 19945}, {514, 6381}, {14434, 42083}
X(72499) = crosssum of X(31) and X(34075)
X(72499) = crossdifference of every pair of points on line {34075, 68825}
X(72499) = barycentric product X(i)*X(j) for these {i,j}: {75, 39011}, {244, 13466}, {312, 47016}, {514, 14434}, {536, 19945}, {693, 68134}, {764, 68131}, {891, 4728}, {899, 52626}, {1086, 42083}, {1111, 59797}, {1646, 6381}, {1978, 14441}, {2170, 61078}, {4858, 61049}, {21143, 68111}
X(72499) = barycentric quotient X(i)/X(j) for these {i,j}: {75, 57572}, {244, 57542}, {890, 34075}, {891, 4607}, {899, 5381}, {1646, 37129}, {3768, 898}, {4728, 889}, {13466, 7035}, {14434, 190}, {14441, 649}, {19945, 3227}, {33917, 23892}, {39011, 1}, {42083, 1016}, {47016, 57}, {52626, 31002}, {59797, 765}, {61049, 4564}, {61078, 67038}, {68131, 57950}, {68134, 100}

X(72500) = CROSSPOINT OF X(75) AND X(3762)

X(72500) lies on the Drucker-Moses inellipse and these lines: {1, 51562}, {11, 523}, {31, 36037}, {244, 522}, {350, 1227}, {519, 3992}, {678, 66979}, {693, 1111}, {900, 34590}, {1099, 3582}, {1647, 23757}, {1737, 4695}, {2170, 47874}, {3120, 30591}, {3259, 6550}, {3263, 20900}, {3994, 4712}, {4379, 57041}, {4542, 14027}, {4736, 68895}, {4858, 59999}, {6075, 55376}, {10774, 66865}, {17763, 70440}, {17888, 67342}, {18743, 72061}, {19634, 36240}, {23670, 24014}, {24034, 44675}, {24135, 47971}, {24192, 48268}, {30942, 71051}, {32927, 38460}, {37815, 56423}, {38385, 66508}, {62571, 71085}

X(72500) = reflection of X(4695) in X(1737)
X(72500) = isotomic conjugate of the isogonal conjugate of X(42084)
X(72500) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 3762}, {1111, 71002}, {4738, 68101}, {40040, 1577}, {51975, 900}, {52627, 14442}
X(72500) = X(14442)-cross conjugate of X(52627)
X(72500) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57564}, {59, 1318}, {101, 4638}, {106, 9268}, {679, 1110}, {692, 4618}, {1016, 41935}, {1252, 2226}, {3257, 32665}, {4555, 32719}, {5376, 9456}, {6551, 23345}, {23344, 39414}, {23990, 54974}
X(72500) = X(i)-Dao conjugate of X(j) for these (i,j): {214, 9268}, {514, 679}, {519, 765}, {661, 2226}, {900, 1}, {1015, 4638}, {1086, 4618}, {1647, 100}, {3310, 52031}, {3960, 52553}, {4370, 5376}, {4988, 30575}, {6376, 57564}, {6544, 88}, {6615, 1318}, {35092, 3257}, {38979, 901}, {55055, 32665}, {62571, 62536}, {62630, 1054}
X(72500) = cevapoint of X(4542) and X(35092)
X(72500) = crosspoint of X(i) and X(j) for these (i,j): {75, 3762}, {693, 4358}, {1111, 71002}, {1317, 68160}, {4738, 68101}, {14628, 69753}
X(72500) = crosssum of X(i) and X(j) for these (i,j): {31, 32665}, {692, 9456}
X(72500) = crossdifference of every pair of points on line {1983, 32665}
X(72500) = barycentric product X(i)*X(j) for these {i,j}: {75, 35092}, {76, 42084}, {85, 4542}, {244, 36791}, {312, 14027}, {513, 52627}, {514, 68101}, {519, 71002}, {668, 14442}, {678, 23989}, {693, 6544}, {900, 3762}, {1086, 4738}, {1111, 4370}, {1317, 4858}, {1577, 68160}, {1635, 65867}, {1639, 69753}, {1647, 4358}, {2087, 3264}, {3120, 16729}, {3251, 3261}, {3942, 65585}, {4391, 39771}, {4530, 69734}, {4543, 24002}, {4768, 30725}, {6545, 68107}, {6550, 24004}, {14628, 51402}, {28659, 61062}, {30939, 71106}, {40166, 66979}, {51975, 66508}, {52337, 67038}, {52338, 69661}
X(72500) = barycentric quotient X(i)/X(j) for these {i,j}: {44, 9268}, {75, 57564}, {244, 2226}, {513, 4638}, {514, 4618}, {519, 5376}, {678, 1252}, {900, 3257}, {1017, 1110}, {1022, 39414}, {1023, 6551}, {1086, 679}, {1111, 54974}, {1317, 4564}, {1635, 901}, {1647, 88}, {1960, 32665}, {2087, 106}, {2170, 1318}, {3120, 30575}, {3248, 41935}, {3251, 101}, {3259, 52031}, {3762, 4555}, {4358, 62536}, {4370, 765}, {4530, 1320}, {4542, 9}, {4543, 644}, {4738, 1016}, {4768, 4582}, {4895, 5548}, {4957, 36594}, {6544, 100}, {6550, 1022}, {8028, 69823}, {14027, 57}, {14442, 513}, {14835, 1017}, {16729, 4600}, {23989, 57929}, {24004, 6635}, {33922, 1023}, {35092, 1}, {36791, 7035}, {39771, 651}, {42084, 6}, {46050, 1635}, {46457, 39154}, {52337, 2170}, {52338, 23838}, {52627, 668}, {53582, 57731}, {61047, 2149}, {61062, 604}, {66508, 52553}, {66979, 31615}, {68101, 190}, {68107, 6632}, {68160, 662}, {71002, 903}, {71106, 4674}, {71108, 23345}, {71110, 2316}

X(72501) = X(1)X(51568)∩X(75)X(51560)

X(72501) lies on the Drucker-Moses inellipse and these lines: {1, 51568}, {75, 51560}, {244, 4025}, {350, 69746}, {693, 15634}, {850, 1109}, {1090, 3261}, {1111, 4391}, {1253, 57773}, {3218, 17755}, {3263, 3717}, {4738, 30806}, {17880, 24010}, {23773, 53583}, {24028, 69760}, {27951, 70826}, {68128, 70096}

X(72501) = X(57773)-Ceva conjugate of X(68813)
X(72501) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57536}, {884, 59101}, {1110, 51838}, {1252, 41934}, {5377, 64216}, {6185, 23990}, {23979, 70643}, {32666, 36086}, {32735, 52927}
X(72501) = X(i)-Dao conjugate of X(j) for these (i,j): {514, 51838}, {518, 1110}, {661, 41934}, {918, 1}, {1577, 62715}, {3126, 2195}, {6376, 57536}, {17435, 101}, {17755, 5377}, {35094, 36086}, {35509, 1024}, {38980, 919}, {38989, 32666}, {62429, 3732}, {63793, 5540}
X(72501) = crosspoint of X(3912) and X(48070)
X(72501) = crosssum of X(31) and X(32666)
X(72501) = barycentric product X(i)*X(j) for these {i,j}: {75, 35094}, {312, 3323}, {514, 62430}, {561, 35505}, {693, 53583}, {1111, 4437}, {1577, 68161}, {3126, 3261}, {3912, 62429}, {4391, 66967}, {4712, 23989}, {16728, 21207}, {23100, 68106}, {24026, 70607}, {28659, 61056}, {40217, 64644}, {52304, 67038}
X(72501) = barycentric quotient X(i)/X(j) for these {i,j}: {75, 57536}, {244, 41934}, {665, 32666}, {918, 36086}, {1025, 59101}, {1086, 51838}, {1111, 6185}, {1362, 2149}, {2254, 919}, {3126, 101}, {3323, 57}, {3675, 1438}, {3912, 5377}, {4437, 765}, {4712, 1252}, {4858, 62715}, {6184, 1110}, {15615, 9447}, {16728, 4570}, {17435, 2195}, {24026, 70643}, {35094, 1}, {35505, 31}, {40704, 39293}, {42079, 23990}, {42770, 54364}, {43042, 36146}, {52228, 59021}, {52304, 2170}, {52305, 1024}, {53544, 32735}, {53583, 100}, {61056, 604}, {62429, 673}, {62430, 190}, {64644, 6654}, {66967, 651}, {68106, 59149}, {68161, 662}, {68813, 52927}, {70607, 7045}, {70621, 24027}

X(72502) = CROSSPOINT OF X(75) AND X(68813)

X(72502) lies on the Drucker-Moses inellipse and these lines: {31, 36039}, {244, 7658}, {1111, 1734}, {1736, 24014}, {2340, 68128}, {3022, 10581}, {3783, 23996}, {4524, 14936}, {4546, 24010}, {4712, 4899}, {8641, 24012}, {17435, 72258}, {24028, 49772}

X(72502) = X(75)-Ceva conjugate of X(68813)
X(72502) = X(i)-isoconjugate of X(j) for these (i,j): {279, 57536}, {919, 65847}, {1262, 57537}, {1275, 6185}, {23586, 70643}, {32735, 46135}, {34085, 36146}, {39293, 56783}, {59457, 62715}, {61184, 65562}
X(72502) = X(i)-Dao conjugate of X(j) for these (i,j): {926, 1}, {17435, 46406}, {38980, 65847}, {39014, 34085}
X(72502) = crosspoint of X(i) and X(j) for these (i,j): {75, 68813}, {657, 2340}
X(72502) = crosssum of X(i) and X(j) for these (i,j): {31, 36146}, {658, 56783}
X(72502) = crossdifference of every pair of points on line {24015, 36146}
X(72502) = barycentric product X(i)*X(j) for these {i,j}: {75, 39014}, {200, 35505}, {312, 15615}, {514, 68115}, {657, 3126}, {728, 61056}, {926, 68813}, {1146, 42079}, {1253, 35094}, {1362, 3119}, {2254, 52614}, {2310, 6184}, {2340, 17435}, {3323, 6602}, {3693, 72258}, {4391, 66982}, {4712, 14936}, {8641, 53583}, {24010, 70621}, {24012, 70607}, {24026, 39686}, {34591, 42071}, {46388, 50333}, {57180, 66967}
X(72502) = barycentric quotient X(i)/X(j) for these {i,j}: {926, 34085}, {1253, 57536}, {2254, 65847}, {2310, 57537}, {3126, 46406}, {8638, 36146}, {15615, 57}, {24012, 70643}, {35505, 1088}, {39014, 1}, {39686, 7045}, {42079, 1275}, {46388, 927}, {52614, 51560}, {61056, 23062}, {66982, 651}, {68115, 190}, {68813, 46135}, {70621, 24011}, {72258, 34018}

X(72503) = CROSSPOINT OF X(75) AND X(3835)

X(72503) lies on the Drucker-Moses inellipse and these lines: {1, 8851}, {10, 20899}, {192, 25312}, {244, 665}, {257, 69954}, {668, 35958}, {756, 6382}, {2643, 23499}, {3123, 21138}, {4083, 38986}, {4424, 4738}, {4642, 4712}, {6376, 21337}, {9311, 72125}, {20366, 70700}, {20686, 23643}, {21272, 69105}, {22190, 23478}, {23669, 24028}, {33946, 71887}, {52633, 71532}

X(i)-Ceva conjugate of X(j) for these (i,j): {75, 3835}, {2998, 661}, {6377, 3123}, {6382, 21834}, {8026, 23886}, {53676, 25142}, {53678, 513}, {62422, 4083}
X(i)-isoconjugate of X(j) for these (i,j): {32, 57577}, {101, 32039}, {190, 58958}, {765, 53678}, {1016, 53146}, {1110, 53679}, {1252, 53677}, {2162, 5383}, {4598, 34071}, {56053, 65163}
X(i)-Dao conjugate of X(j) for these (i,j): {513, 53678}, {514, 53679}, {661, 53677}, {798, 2162}, {1015, 32039}, {3835, 87}, {4083, 1}, {6376, 57577}, {6377, 18830}, {23886, 8026}, {25142, 1740}, {31286, 62419}, {40610, 4598}, {55053, 58958}
X(72503) = crosspoint of X(i) and X(j) for these (i,j): {75, 3835}, {513, 53678}, {514, 18832}, {4083, 6376}, {6377, 40610}, {8026, 23886}, {25142, 53676}
X(72503) = crosssum of X(i) and X(j) for these (i,j): {31, 34071}, {100, 53676}, {101, 56836}, {932, 7121}
X(72503) = crossdifference of every pair of points on line {100, 34071}
X(72503) = barycentric product X(i)*X(j) for these {i,j}: {43, 21138}, {75, 40610}, {192, 3123}, {244, 53675}, {513, 23886}, {514, 25142}, {667, 58377}, {693, 57050}, {1015, 8026}, {1086, 53676}, {1111, 53145}, {3835, 4083}, {3971, 16742}, {4147, 43051}, {6376, 6377}, {6382, 38986}, {17217, 21834}, {18197, 21051}, {20691, 23824}, {20906, 20979}
X(72503) = barycentric quotient X(i)/X(j) for these {i,j}: {43, 5383}, {75, 57577}, {244, 53677}, {513, 32039}, {667, 58958}, {1015, 53678}, {1086, 53679}, {3123, 330}, {3248, 53146}, {3835, 18830}, {4083, 4598}, {6377, 87}, {8026, 31625}, {8640, 34071}, {18197, 56053}, {20979, 932}, {21138, 6384}, {21762, 7121}, {21835, 23493}, {22386, 15373}, {23886, 668}, {25142, 190}, {38986, 2162}, {40610, 1}, {50491, 65167}, {53145, 765}, {53675, 7035}, {53676, 1016}, {57050, 100}, {58377, 6386}

X(72504) = X(1)X(51562)∩X(80)X(1090)

X(72504) lies on the Drucker-Moses inellipse and these lines: {1, 51562}, {80, 1090}, {244, 1737}, {255, 36037}, {355, 1087}, {519, 24026}, {522, 24028}, {758, 1109}, {1091, 37710}, {1099, 44409}, {1111, 4887}, {4397, 4738}, {6735, 24031}, {17879, 35550}

X(72504) = X(6)-isoconjugate of X(65963)
X(72504) = X(i)-Dao conjugate of X(j) for these (i,j): {9, 65963}, {952, 1}, {45950, 3738}, {61066, 65249}
X(72504) = barycentric product X(i)*X(j) for these {i,j}: {75, 61066}, {312, 3319}
X(72504) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 65963}, {952, 65249}, {2265, 953}, {3319, 57}, {61066, 1}

X(72505) = CROSSPOINT OF X(75) AND X(2582)

X(72505) lies on the Drucker-Moses inellipse and these lines: {1, 21}, {240, 2581}, {1099, 2589}, {1109, 2588}, {2312, 2577}, {2574, 7004}, {2578, 3708}, {2583, 23996}, {2584, 2632}, {51873, 68765}, {51874, 53524}

X(72505) = X(i)-Ceva conjugate of X(j) for these (i,j): {1, 2584}, {63, 2578}, {75, 2582}, {1823, 656}, {2581, 661}
X(72505) = X(i)-isoconjugate of X(j) for these (i,j): {2, 41941}, {4, 15461}, {32, 57543}, {107, 53384}, {110, 53154}, {112, 50944}, {250, 1312}, {648, 52131}, {1822, 2586}, {2576, 2580}, {8106, 39298}, {15164, 44123}, {15167, 23582}, {18020, 44125}, {23964, 62592}, {46815, 57026}
X(72505) = X(i)-Dao conjugate of X(j) for these (i,j): {244, 53154}, {1313, 2586}, {2574, 1}, {6376, 57543}, {8105, 92}, {15166, 2580}, {32664, 41941}, {34591, 50944}, {36033, 15461}, {38985, 53384}, {46814, 75}, {55066, 52131}, {66876, 2583}
X(72505) = crosspoint of X(i) and X(j) for these (i,j): {1, 2588}, {75, 2582}
X(72505) = crosssum of X(i) and X(j) for these (i,j): {1, 1822}, {31, 2576}
X(72505) = crossdifference of every pair of points on line {661, 2576}
X(72505) = barycentric product X(i)*X(j) for these {i,j}: {1, 62593}, {63, 1313}, {75, 15166}, {304, 44126}, {656, 50945}, {1577, 53385}, {2349, 14499}, {2574, 2582}, {2578, 22339}, {2580, 23109}, {2583, 66961}, {2584, 2592}, {2588, 46814}, {14208, 52132}, {15460, 20902}, {17879, 41942}, {24018, 53153}
X(72505) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 41941}, {48, 15461}, {75, 57543}, {656, 50944}, {661, 53154}, {810, 52131}, {822, 53384}, {1313, 92}, {1823, 39298}, {2574, 2580}, {2578, 1113}, {2582, 15164}, {2584, 8115}, {2588, 46815}, {2632, 62592}, {3708, 1312}, {8105, 2586}, {14499, 14206}, {15166, 1}, {23109, 2582}, {41942, 24000}, {42668, 2576}, {44126, 19}, {50945, 811}, {52132, 162}, {53153, 823}, {53385, 662}, {62593, 75}, {66877, 2589}, {66961, 2581}
X(72505) = {X(63),X(1823)}-harmonic conjugate of X(896)

X(72506) = CROSSPOINT OF X(75) AND X(2583)

X(72506) lies on the Drucker-Moses inellipse and these lines: {1, 21}, {240, 2580}, {1099, 2588}, {1109, 2589}, {2312, 2576}, {2575, 7004}, {2579, 3708}, {2582, 23996}, {2585, 2632}, {51873, 53524}, {51874, 68765}

X(72506) = X(i)-Ceva conjugate of X(j) for these (i,j): {1, 2585}, {63, 2579}, {75, 2583}, {1822, 656}, {2580, 661}
X(72506) = X(i)-isoconjugate of X(j) for these (i,j): {2, 41942}, {4, 15460}, {32, 57544}, {107, 53385}, {110, 53153}, {112, 50945}, {250, 1313}, {648, 52132}, {1823, 2587}, {2577, 2581}, {8105, 39299}, {15165, 44124}, {15166, 23582}, {18020, 44126}, {23964, 62593}, {46812, 57025}
X(72506) = X(i)-Dao conjugate of X(j) for these (i,j): {244, 53153}, {1312, 2587}, {2575, 1}, {6376, 57544}, {8106, 92}, {15167, 2581}, {32664, 41942}, {34591, 50945}, {36033, 15460}, {38985, 53385}, {46811, 75}, {55066, 52132}, {66877, 2582}
X(72506) = crosspoint of X(i) and X(j) for these (i,j): {1, 2589}, {75, 2583}
X(72506) = crosssum of X(i) and X(j) for these (i,j): {1, 1823}, {31, 2577}
X(72506) = crossdifference of every pair of points on line {661, 2577}
X(72506) = barycentric product X(i)*X(j) for these {i,j}: {1, 62592}, {63, 1312}, {75, 15167}, {304, 44125}, {656, 50944}, {1577, 53384}, {2349, 14500}, {2575, 2583}, {2579, 22340}, {2581, 23110}, {2582, 66960}, {2585, 2593}, {2589, 46811}, {14208, 52131}, {15461, 20902}, {17879, 41941}, {24018, 53154}
X(72506) = barycentric quotient X(i)/X(j) for these {i,j}: {31, 41942}, {48, 15460}, {75, 57544}, {656, 50945}, {661, 53153}, {810, 52132}, {822, 53385}, {1312, 92}, {1822, 39299}, {2575, 2581}, {2579, 1114}, {2583, 15165}, {2585, 8116}, {2589, 46812}, {2632, 62593}, {3708, 1313}, {8106, 2587}, {14500, 14206}, {15167, 1}, {23110, 2583}, {41941, 24000}, {42667, 2577}, {44125, 19}, {50944, 811}, {52131, 162}, {53154, 823}, {53384, 662}, {62592, 75}, {66876, 2588}, {66960, 2580}
X(72506) = {X(63),X(1822)}-harmonic conjugate of X(896)

X(72507) = CROSSPOINT OF X(75) AND X(69352)

X(72507) lies on the Drucker-Moses inellipse and these lines: {244, 656}, {519, 4736}, {522, 1109}, {678, 896}, {756, 51562}, {1099, 1737}, {1111, 4467}, {1725, 24028}, {2611, 8702}, {5127, 37783}, {8674, 38982}, {23063, 53524}, {24038, 70091}

X(72507) = X(75)-Ceva conjugate of X(69352)
X(72507) = X(59)-isoconjugate of X(55012)
X(72507) = X(i)-Dao conjugate of X(j) for these (i,j): {6615, 55012}, {8674, 1}, {35090, 65238}
X(72507) = crosspoint of X(75) and X(69352)
X(72507) = barycentric product X(i)*X(j) for these {i,j}: {75, 35090}, {1577, 68164}, {8674, 69352}, {65669, 68818}
X(72507) = barycentric quotient X(i)/X(j) for these {i,j}: {2170, 55012}, {8674, 65238}, {35090, 1}, {68164, 662}, {68818, 66280}, {69352, 35156}

X(72508) = CROSSPOINT OF X(75) AND X(4468)

X(72508) lies on the Drucker-Moses inellipse and these lines: {1, 644}, {101, 67387}, {244, 72280}, {255, 9303}, {672, 60373}, {1018, 59814}, {1111, 2310}, {1210, 24014}, {1477, 67724}, {3679, 24802}, {3693, 60375}, {3870, 68237}, {3991, 68461}, {4738, 31397}, {4904, 21945}, {11031, 24038}, {15636, 68136}, {18391, 24028}, {24026, 68970}, {38386, 40615}, {68559, 72258}

X(72508) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 4468}, {55337, 3309}
X(72508) = X(i)-isoconjugate of X(j) for these (i,j): {59, 55013}, {2414, 32644}, {14268, 15402}, {57656, 63906}
X(72508) = X(i)-Dao conjugate of X(j) for these (i,j): {3309, 1}, {6615, 55013}
X(72508) = crosspoint of X(i) and X(j) for these (i,j): {75, 4468}, {3870, 31605}, {42361, 56322}
X(72508) = crosssum of X(21002) and X(35326)
X(72508) = barycentric product X(i)*X(j) for these {i,j}: {514, 68117}, {673, 58281}, {693, 68136}, {3309, 4468}, {3870, 4904}, {3912, 15636}, {6604, 38375}, {21945, 41610}, {40615, 55337}, {43049, 44448}
X(72508) = barycentric quotient X(i)/X(j) for these {i,j}: {2170, 55013}, {2440, 36041}, {3309, 37206}, {3870, 63906}, {4468, 54987}, {15636, 673}, {21945, 60265}, {38375, 6601}, {58281, 3912}, {68117, 190}, {68136, 100}

X(72509) = CROSSPOINT OF X(75) AND X(4462)

X(72509) lies on the Drucker-Moses inellipse and these lines: {1, 1120}, {11, 1111}, {145, 68236}, {312, 21267}, {1210, 3987}, {1647, 24026}, {2310, 40451}, {3086, 24034}, {3756, 4925}, {3952, 59812}, {3971, 4712}, {3992, 53618}, {4008, 24014}, {4170, 55060}, {4358, 51615}, {4404, 5516}, {4487, 37743}, {4714, 31520}, {4723, 60374}, {4929, 18743}, {4975, 53619}, {8686, 67723}, {15637, 68118}, {17888, 67342}, {18391, 64056}, {22942, 58371}, {24010, 68970}, {25919, 67344}, {26139, 67341}, {38384, 40617}, {52353, 56798}

X(72509) = X(i)-Ceva conjugate of X(j) for these (i,j): {75, 4462}, {44720, 3667}
X(72509) = X(i)-isoconjugate of X(j) for these (i,j): {32, 57578}, {59, 33963}, {2415, 32645}, {5382, 38266}, {6065, 16079}, {6066, 16078}, {14261, 15403}, {27834, 34080}
X(72509) = X(i)-Dao conjugate of X(j) for these (i,j): {3667, 1}, {3669, 19604}, {3756, 31343}, {4521, 8056}, {6376, 57578}, {6615, 33963}, {31182, 23511}, {40621, 27834}, {62567, 56174}
X(72509) = crosspoint of X(75) and X(4462)
X(72509) = crosssum of X(31) and X(34080)
X(72509) = barycentric product X(i)*X(j) for these {i,j}: {75, 40621}, {88, 58282}, {312, 61079}, {514, 68118}, {693, 31182}, {3667, 4462}, {3756, 18743}, {4358, 15637}, {4391, 58858}, {4534, 39126}, {4858, 6049}, {4939, 5435}, {4943, 24002}, {40617, 44720}
X(72509) = barycentric quotient X(i)/X(j) for these {i,j}: {75, 57578}, {145, 5382}, {2170, 33963}, {2441, 36042}, {3667, 27834}, {3756, 8056}, {4394, 1293}, {4462, 53647}, {4521, 31343}, {4534, 3680}, {4939, 6557}, {4943, 644}, {6049, 4564}, {8643, 34080}, {15637, 88}, {21950, 56174}, {23764, 58794}, {30719, 65173}, {31182, 100}, {40617, 19604}, {40621, 1}, {51656, 38828}, {53538, 16079}, {58282, 4358}, {58811, 62754}, {58858, 651}, {61079, 57}, {68118, 190}

X(72510) = X(1)X(271)∩X(31)X(1795)

X(72510) lies on the Drucker-Moses inellipse and these lines: {1, 271}, {31, 1795}, {244, 774}, {1111, 3668}, {1210, 17869}, {1256, 7992}, {1768, 3361}, {2310, 36123}, {17879, 18692}, {18391, 24010}

X(72510) = X(i)-isoconjugate of X(j) for these (i,j): {2417, 32647}, {15405, 54241}
X(72510) = X(i)-Dao conjugate of X(j) for these (i,j): {6001, 1}, {65891, 65246}
X(72510) = barycentric product X(i)*X(j) for these {i,j}: {75, 65891}, {653, 58264}
X(72510) = barycentric quotient X(i)/X(j) for these {i,j}: {2443, 36044}, {6001, 65246}, {51359, 65342}, {58264, 6332}, {65891, 1}

X(72511) = X(5)X(3258)∩X(30)X(5972)

Antreas Hatzipolakis and Ercole Suppa, euclid 9648.

X(72511) lies on these lines: {2, 20957}, {3, 44967}, {4, 38610}, {5, 3258}, {30, 5972}, {113, 16340}, {125, 68472}, {140, 68307}, {143, 12052}, {381, 477}, {382, 38701}, {403, 66771}, {476, 1656}, {498, 66799}, {499, 66798}, {523, 20304}, {542, 33505}, {546, 63715}, {1154, 68074}, {1352, 66810}, {1511, 36184}, {1539, 36164}, {1594, 66790}, {2072, 14769}, {3090, 14731}, {3091, 66781}, {3154, 5663}, {3526, 38700}, {3545, 34193}, {3628, 22104}, {3832, 66773}, {3843, 14989}, {3850, 66818}, {3851, 38581}, {5055, 34312}, {5071, 66815}, {5072, 38678}, {5079, 38677}, {5609, 71150}, {5790, 66800}, {5886, 66796}, {6101, 16978}, {7393, 66794}, {7486, 66802}, {7728, 65086}, {7741, 33965}, {7951, 33964}, {10095, 68070}, {10113, 14934}, {10255, 12091}, {11230, 66789}, {11737, 66816}, {12041, 46045}, {12079, 20396}, {14356, 61502}, {14480, 38724}, {14508, 38789}, {14561, 66812}, {14643, 17511}, {14851, 36172}, {18480, 66770}, {18493, 66784}, {18572, 70569}, {19709, 66786}, {23515, 34209}, {31378, 34153}, {32417, 61548}, {32423, 55308}, {33927, 68471}, {34127, 53728}, {34128, 46632}, {34584, 52219}, {35018, 68309}, {36193, 64101}, {38107, 66806}, {40340, 62508}, {41106, 66817}, {44234, 47116}, {44282, 47327}, {46031, 61592}, {47348, 51391}, {54447, 66793}, {60759, 62492}, {61261, 66779}, {61575, 62490}, {61576, 62489}, {61577, 62494}, {61578, 62496}, {61579, 62493}, {61580, 62491}, {61581, 62498}, {61582, 62500}, {61583, 62502}, {61584, 62505}, {61585, 62495}, {61586, 62510}, {61591, 62509}, {61899, 66820}

X(72511) = midpoint of X(i) and X(j) for these {i,j}: {3, 66795}, {4, 38610}, {5, 3258}, {113, 16340}, {125, 68472}, {477, 66778}, {1511, 36184}, {1539, 36164}, {5609, 71150}, {6101, 16978}, {10113, 14934}, {12041, 46045}, {18480, 66770}, {18572, 70569}, {20957, 38609}, {47348, 51391}
X(72511) = reflection of X(i) in X(j) for these {i,j}: {143, 12052}, {12079, 20396}, {22104, 3628}, {68070, 10095}, {68307, 140}, {68308, 3850}, {68309, 35018}
X(72511) = complement of X(38609)
X(72511) = reflection of X(i) in the line X(j)X(k) for these {i,j,k}: {20304, 2, 3}, {61574, 5, 523}
X(72511) = center of circles {{ X(i), X(j), X(k) }} for these {i,j,k}: {3, 47084, 66795}, {4, 38610, 52219}, {5, 3154, 3258}, {113, 16340, 36169}
X(72511) = foot of the perpendicular from X(i) to the line X(j)X(k) for these {i,j,k}: {20304, 5972, 14156}, {61583, 46031, 61592}, {61586, 61591, 68319}
X(72511) = center of the orthopolar conic of X(38610)
X(72511) = quadrangle centroid of X(20957)
X(72511) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 20957, 38609}, {4, 57306, 38610}, {4, 66819, 57306}, {5, 3258, 16168}, {381, 477, 66778}, {3090, 14731, 57305}, {3526, 66791, 38700}, {5055, 38580, 66787}, {10113, 45694, 14934}, {34312, 66787, 38580}

X(72512) = X(1)X(5)∩X(3)X(9785)

Marian Cucoanes and Ercole Suppa, euclid 9660.

X(72512) lies on these lines: {1, 5}, {3, 9785}, {30, 4311}, {56, 28174}, {140, 9957}, {382, 4308}, {388, 38034}, {443, 3622}, {497, 34773}, {517, 34753}, {519, 33559}, {546, 7743}, {548, 5126}, {549, 1697}, {550, 1420}, {551, 49732}, {912, 16215}, {938, 10247}, {942, 66216}, {946, 22792}, {950, 25405}, {962, 67261}, {999, 4295}, {1056, 18220}, {1058, 6850}, {1125, 3880}, {1159, 5734}, {1210, 5844}, {1319, 15171}, {1385, 4314}, {1479, 28186}, {1482, 6891}, {2098, 10072}, {2646, 15170}, {2802, 6691}, {2932, 5253}, {3057, 15325}, {3058, 21842}, {3086, 5690}, {3295, 38028}, {3304, 39542}, {3333, 3656}, {3476, 9669}, {3486, 50824}, {3488, 37624}, {3576, 10386}, {3579, 4342}, {3616, 5687}, {3627, 9614}, {3628, 31397}, {3636, 40270}, {3649, 37602}, {3655, 66682}, {3754, 58587}, {3772, 54319}, {3816, 22837}, {3825, 38455}, {3845, 9613}, {3871, 34123}, {3872, 17527}, {3885, 13747}, {3898, 4999}, {4187, 38460}, {4299, 28182}, {4301, 64128}, {4315, 22793}, {4333, 12701}, {4345, 8148}, {5045, 6001}, {5049, 64160}, {5082, 35272}, {5274, 18525}, {5298, 11010}, {5305, 62370}, {5433, 61614}, {5603, 6147}, {5704, 59503}, {5730, 11240}, {5762, 10680}, {5790, 47743}, {5882, 18527}, {5884, 64192}, {5885, 18240}, {6681, 32157}, {6713, 10284}, {6738, 33179}, {6847, 10595}, {6906, 66627}, {6982, 18530}, {7320, 46219}, {8256, 10199}, {9580, 15704}, {9623, 51559}, {9955, 66230}, {10074, 13129}, {10200, 10912}, {10222, 11019}, {10914, 52264}, {11035, 64110}, {11522, 12679}

X(72512) = midpoint of X(i) and X(j) for these {i,j}: {1, 496}, {942, 66216}, {2098, 67980}, {4301, 64128}, {12053, 24928}
X(72512) = reflection of X(47742) in X(1125)
X(72512) = pole of tripolar of X(514) with respect to orthoptic circle of Feuerbach hyperbola
X(72512) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 496, 952}, {1, 1387, 5901}, {1, 5722, 1483}, {1, 5901, 5719}, {1, 10950, 12735}, {1, 11373, 5}, {1, 11376, 495}, {1, 15950, 63282}, {1, 16173, 12}, {1, 37702, 1317}, {1, 37704, 355}, {1, 37720, 10944}, {1, 37722, 37730}, {1, 37728, 61281}, {1, 37730, 61286}, {1, 37735, 15888}, {1, 37739, 61283}, {495, 11376, 61272}, {999, 22791, 24470}, {1056, 18220, 18493}, {1385, 63993, 15172}, {2098, 10072, 67980}, {3057, 15325, 61524}, {3086, 64897, 5690}, {5126, 10624, 548}, {5252, 10593, 61259}, {5603, 7373, 6147}, {7743, 10106, 546}, {9957, 44675, 140}, {10944, 12019, 61249}, {10944, 37720, 12019}, {10950, 12735, 61292}, {12053, 24928, 30}

X(72513) = (name pending)

Benjamin Lee Warren and Francisco Javier García Capitán, euclid 9658.

X(72513) lies on this line: {4, 72514}

X(72514) = (name pending)

Benjamin Lee Warren and Francisco Javier García Capitán, euclid 9658.

X(72514) lies on this line: {4, 72513}

X(72515) = X(2)X(187)∩X(524)X(8590)

Antreas Hatzipolakis and Peter Moses, euclid 9676.

X(72515) lies on these lines: {2, 187}, {524, 8590}, {7607, 47617}, {7617, 38225}, {7622, 11842}, {10631, 55801}, {32479, 47113}

X(72515) = midpoint of X(187) and X(1153)
X(72515) = van Lamoen circle inverse of X(66511)
X(72515) = {X(187),X(5215)}-harmonic conjugate of X(598)

X(72516) = X(4)X(512)∩X(114)X(325)

X(72516) lies on the curve Q197 and these lines: {2, 61485}, {4, 512}, {114, 325}, {132, 36472}, {1692, 51324}, {2794, 14113}, {10753, 14510}, {13860, 67220}, {58883, 67639}, {67557, 67872}

X(72516) = midpoint of X(i) and X(j) for these {i,j}: {4, 46046}, {41058, 41059}
X(72516) = reflection of X(i) in X(j) for these {i,j}: {15631, 114}, {67557, 67872}
X(72516) = anticomplement of X(61485)
X(72516) = polar-circle-inverse of X(53149)
X(72516) = crosssum of X(98) and X(21166)
X(72516) = crossdifference of every pair of points on line {2422, 3289}

X(72517) = X(4)X(522)∩X(117)X(515)

X(72517) lies on the curve Q197 and these lines: {4, 522}, {117, 515}, {1512, 50368}, {15633, 60758}, {44014, 44927}, {56939, 69932}

X(72517) = reflection of X(i) in X(j) for these {i,j}: {15633, 60758}, {44014, 44927}, {66957, 117}
X(72517) = polar-circle-inverse of X(53152)
X(72517) = crosssum of X(102) and X(38697)

X(72518) = X(4)X(513)∩X(119)X(517)

X(72518) lies on the curve Q197 and these lines: {4, 513}, {104, 33646}, {119, 517}, {1012, 67216}, {1846, 18838}, {2818, 44013}, {2829, 14115}, {3025, 52836}, {6001, 38385}, {6834, 67420}, {6938, 34583}, {6968, 67213}, {6969, 67634}, {10728, 33647}, {12775, 67445}, {15608, 25640}, {34789, 67441}, {63992, 71537}

X(72518) = midpoint of X(i) and X(j) for these {i,j}: {4, 46044}, {3025, 52836}, {34789, 67441}
X(72518) = reflection of X(i) in X(j) for these {i,j}: {104, 33646}, {15632, 119}
X(72518) = polar-circle-inverse of X(43933)
X(72518) = crosssum of X(104) and (34474)

X(72519) = X(4)X(1499)∩X(126)X(524)

X(72519) lies on the curve Q197 and these lines: {4, 1499}, {126, 524}, {542, 14858}, {5181, 43913}, {9169, 61488}

X(72519) = reflection of X(i) in X(j) for these {i,j}: {50565, 14858}, {61488, 9169}, {66963, 126}
X(72519) = crosssum of X(111) and X(38716)
X(72519) = crossdifference of every pair of points on line {2444, 3292}

X(72520) = X(4)X(690)∩X(542)X(1550)

X(72520) lies on the cubic K955, the curve Q197, and these lines: {4, 690}, {542, 1550}, {543, 34150}, {3818, 67221}, {14932, 63768}, {39874, 67486}, {54495, 54662}

X(72520) = reflection of X(66958) in X(16188)
X(72520) = polar-circle-inverse of X(53156)
X(72520) = crosssum of X(842) and X(38702)

X(72521) = X(4)X(2575)∩X(125)X(1313)

X(72521) lies on the curve Q197 and these lines: {4, 2575}, {125, 1313}, {974, 1514}, {1114, 15055}, {1344, 13415}, {3580, 44310}, {5622, 44124}, {10719, 46167}, {10737, 65319}, {17702, 32550}, {23291, 31954}, {26869, 52465}, {46682, 66960}

X(72521) = reflection of X(66961) in X(1313)
X(72521) = polar-circle-inverse of X(53154)
X(72521) = X(16080)-Ceva conjugate of X(8105)
X(72521) = X(66358)-Dao conjugate of X(11064)
X(72521) = crosssum of X(1113) and X(38709)

X(72522) = X(4)X(2574)∩X(125)X(1312)

X(72522) lies on the curve Q197 and these lines: {4, 2574}, {125, 1312}, {974, 1514}, {1113, 15055}, {1345, 13414}, {3580, 44309}, {5622, 44123}, {10720, 46166}, {10736, 65318}, {17702, 32549}, {23291, 31955}, {26869, 52466}, {46682, 66961}

X(72522) = reflection of X(66960) in X(1312)
X(72522) = polar-circle-inverse of X(53153)
X(72522) = X(16080)-Ceva conjugate of X(8106)
X(72522) = X(66357)-Dao conjugate of X(11064)
X(72522) = crosssum of X(1114) and X(38708)

X(72523) = X(4)X(3414)∩X(115)X(2028)

X(72523) lies on the curve Q197 and these lines: {4, 3414}, {115, 2028}, {1341, 67686}, {1348, 2549}, {1503, 67863}, {2542, 67689}, {6039, 67679}, {19660, 67675}, {31862, 35913}, {37689, 67690}

X(72523) = midpoint of X(31863) and X(70204)
X(72523) = reflection of X(66966) in X(2039)

X(72524) = X(4)X(3413)∩X(115)X(2029)

X(72524) lies on the curve Q197 and these lines: {4, 3413}, {115, 2029}, {1340, 67675}, {1349, 2549}, {1503, 67863}, {2543, 67678}, {6040, 67690}, {19659, 67686}, {31863, 35914}, {37689, 67679}

X(72524) = midpoint of X(31862) and X(70205)
X(72524) = reflection of X(66965) in X(2040)

Cross-concevian perspectors: X(72525)-X(72654)

X(72525) = {X(1), X(7)}-CROSS-CONCEVIAN PERSPECTOR

X(72525) lies on these lines: {1, 1170}, {6, 62867}, {73, 17609}, {269, 30350}, {354, 1418}, {500, 1458}, {872, 1201}, {991, 50190}, {1100, 9502}, {1279, 2650}, {1419, 34036}, {1480, 15934}, {2310, 5572}, {2340, 58564}, {3000, 58563}, {4017, 4890}, {4349, 66655}, {4648, 17450}, {4883, 28369}, {5049, 34586}, {6126, 59818}, {15185, 21039}, {17245, 29690}, {17337, 21805}, {18675, 29819}, {20323, 72528}, {20358, 42446}, {21104, 23728}, {28011, 68588}, {35197, 68592}, {35338, 58607}, {36946, 68591}, {37681, 49490}, {42079, 58571}, {44840, 53530}, {55340, 61033}, {62821, 64671}, {72552, 72585}

X(72525) = perspector of circumconic {{A, B, C, X(63203), X(65222)}}
X(72525) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 72457}, {1174, 32015}, {58104, 62725}
X(72525) = X(i)-Dao conjugate of X(j) for these {i, j}: {6666, 75}, {32664, 72457}, {40606, 32015}, {72552, 57815}
X(72525) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 3748}, {651, 21127}, {3748, 72632}, {72552, 42438}
X(72525) = X(i)-cross conjugate of X(j) for these {i, j}: {72632, 42438}
X(72525) = pole of line {20683, 42325} with respect to the incircle
X(72525) = pole of line {10581, 21127} with respect to the Hofstadter ellipse
X(72525) = intersection, other than A, B, C, of circumconics {{A, B, C, X(354), X(2346)}}, {{A, B, C, X(1170), X(1418)}}, {{A, B, C, X(2293), X(10482)}}, {{A, B, C, X(22053), X(47487)}}
X(72525) = barycentric product X(i)*X(j) for these (i, j): {1, 72552}, {57, 72585}, {85, 72632}, {142, 3748}, {354, 6666}, {1212, 58816}, {17201, 21808}, {21104, 61232}, {21127, 61192}, {42438, 7}
X(72525) = barycentric quotient X(i)/X(j) for these (i, j): {31, 72457}, {354, 32015}, {3748, 32008}, {6666, 57815}, {42438, 8}, {58816, 31618}, {72552, 75}, {72585, 312}, {72632, 9}
X(72525) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 11025, 21346}

X(72526) = {X(1), X(8)}-CROSS-CONCEVIAN PERSPECTOR

X(72526) lies on circumconic {{A, B, C, X(1476), X(3057)}} and on these lines: {1, 1106}, {6, 2098}, {73, 5919}, {500, 31792}, {950, 17460}, {1201, 3057}, {1458, 20789}, {1697, 15839}, {2292, 15558}, {2310, 66216}, {2650, 5048}, {3157, 64897}, {3727, 9502}, {3748, 72528}, {3890, 26669}, {4319, 66197}, {4345, 66650}, {7962, 54418}, {9957, 34586}, {10543, 14284}, {11011, 72534}, {12575, 66659}, {62867, 68903}, {66646, 67262}

X(72526) = X(i)-isoconjugate-of-X(j) for these {i, j}: {3451, 42339}
X(72526) = X(i)-Dao conjugate of X(j) for these {i, j}: {6692, 75}
X(72526) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 20323}
X(72526) = barycentric product X(i)*X(j) for these (i, j): {9, 72578}, {3057, 6692}, {3752, 66205}, {20323, 3452}
X(72526) = barycentric quotient X(i)/X(j) for these (i, j): {3057, 42339}, {20323, 40420}, {66205, 32017}, {72578, 85}
X(72526) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 2943, 1476}

X(72527) = {X(1), X(10)}-CROSS-CONCEVIAN PERSPECTOR

X(72527) lies on these lines: {1, 849}, {214, 3743}, {758, 41243}, {960, 1193}, {1100, 2650}, {1962, 2646}, {2643, 10459}, {3057, 23928}, {16519, 70647}, {17164, 17302}, {19786, 49598}, {32851, 58386}

X(72527) = perspector of circumconic {{A, B, C, X(3882), X(65255)}}
X(72527) = X(i)-isoconjugate-of-X(j) for these {i, j}: {62749, 64823}
X(72527) = X(i)-Dao conjugate of X(j) for these {i, j}: {6703, 75}
X(72527) = pole of line {2292, 2363} with respect to the Stammler hyperbola
X(72527) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(6042)}}, {{A, B, C, X(1193), X(27714)}}, {{A, B, C, X(2292), X(2363)}}, {{A, B, C, X(3666), X(64457)}}
X(72527) = barycentric product X(i)*X(j) for these (i, j): {2292, 6703}, {27714, 3666}, {53332, 58842}
X(72527) = barycentric quotient X(i)/X(j) for these (i, j): {27714, 30710}, {53280, 64823}, {58842, 4581}
X(72527) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1193, 2292, 6042}

X(72528) = {X(1), X(21)}-CROSS-CONCEVIAN PERSPECTOR

X(72528) lies on these lines: {1, 411}, {6, 17440}, {221, 71727}, {1319, 72534}, {1468, 13384}, {2310, 45230}, {2646, 2650}, {3748, 72526}, {20323, 72525}, {29690, 37734}, {37080, 53530}, {50354, 53535}

X(72528) = X(i)-Dao conjugate of X(j) for these {i, j}: {58463, 75}
X(72528) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2646), X(17097)}}, {{A, B, C, X(22361), X(40442)}}
X(72528) = barycentric product X(i)*X(j) for these (i, j): {2646, 58463}

X(72529) = {X(1), X(31)}-CROSS-CONCEVIAN PERSPECTOR

X(72529) lies on these lines: {1, 561}, {38, 1964}, {756, 1107}, {799, 51934}, {1959, 21336}, {3720, 20530}, {4117, 17469}, {17176, 17445}, {17446, 23495}, {18671, 62266}, {23629, 68949}

X(72529) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 72445}, {6, 31622}, {83, 39968}, {251, 31630}, {308, 42346}, {58118, 58784}
X(72529) = X(i)-Dao conjugate of X(j) for these {i, j}: {9, 31622}, {3934, 75}, {20965, 33764}, {32664, 72445}, {40585, 31630}, {70254, 18833}
X(72529) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 17445}, {51934, 2236}
X(72529) = pole of line {82, 1923} with respect to the Stammler hyperbola
X(72529) = pole of line {2084, 50521} with respect to the Hofstadter ellipse
X(72529) = pole of line {1964, 3112} with respect to the Wallace hyperbola
X(72529) = intersection, other than A, B, C, of circumconics {{A, B, C, X(38), X(18833)}}, {{A, B, C, X(1964), X(3112)}}, {{A, B, C, X(16696), X(70254)}}, {{A, B, C, X(17176), X(17187)}}
X(72529) = barycentric product X(i)*X(j) for these (i, j): {1, 70254}, {63, 72563}, {141, 70346}, {1923, 70261}, {1964, 3934}, {4553, 70350}, {4568, 70349}, {16696, 70354}, {16887, 70353}, {17176, 21814}, {17442, 22062}, {17445, 39}, {18092, 72112}, {20889, 3051}, {20965, 38}, {23210, 92}, {42394, 72630}, {42548, 75}, {59167, 82}
X(72529) = barycentric quotient X(i)/X(j) for these (i, j): {1, 31622}, {31, 72445}, {38, 31630}, {1923, 42346}, {1964, 39968}, {3934, 18833}, {17445, 308}, {20889, 40016}, {20965, 3112}, {23210, 63}, {42548, 1}, {59167, 1930}, {70254, 75}, {70346, 83}, {70349, 10566}, {70353, 18082}, {70354, 56186}, {72563, 92}
X(72529) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {17469, 45232, 4117}

X(72530) = {X(1), X(37)}-CROSS-CONCEVIAN PERSPECTOR

X(72530) lies on these lines: {1, 757}, {238, 58380}, {1100, 1962}, {1193, 2667}, {1964, 62550}, {2643, 3723}, {2646, 42446}, {23928, 46845}, {30598, 59261}, {38348, 69841}, {69616, 70647}

X(72530) = perspector of circumconic {{A, B, C, X(35342), X(62535)}}
X(72530) = X(i)-Dao conjugate of X(j) for these {i, j}: {6707, 75}
X(72530) = pole of line {1962, 40438} with respect to the Stammler hyperbola
X(72530) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1100), X(51586)}}, {{A, B, C, X(1962), X(40438)}}, {{A, B, C, X(2308), X(52558)}}
X(72530) = barycentric product X(i)*X(j) for these (i, j): {1, 51586}, {1962, 6707}, {24074, 4983}
X(72530) = barycentric quotient X(i)/X(j) for these (i, j): {51586, 75}

X(72531) = {X(1), X(56)}-CROSS-CONCEVIAN PERSPECTOR

X(72531) lies on these lines: {1, 341}, {986, 3884}, {1149, 2292}, {1193, 17460}, {1201, 3057}, {1964, 4319}, {2605, 57051}, {3248, 20323}, {19582, 64427}, {21214, 31233}, {35652, 72532}, {72543, 72582}

X(72531) = X(i)-isoconjugate-of-X(j) for these {i, j}: {42338, 52549}
X(72531) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1201), X(1222)}}, {{A, B, C, X(3752), X(32017)}}
X(72531) = barycentric product X(i)*X(j) for these (i, j): {1, 72543}, {57, 72582}
X(72531) = barycentric quotient X(i)/X(j) for these (i, j): {72543, 75}, {72582, 312}
X(72531) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 1050, 1222}

X(72532) = {X(1), X(58)}-CROSS-CONCEVIAN PERSPECTOR

X(72532) lies on these lines: {1, 312}, {37, 1201}, {42, 3057}, {192, 25253}, {333, 15825}, {386, 3878}, {960, 1193}, {978, 31359}, {1149, 49982}, {2274, 19861}, {2309, 2646}, {2658, 18674}, {2667, 4161}, {3159, 50604}, {3720, 72533}, {4255, 23844}, {4319, 70815}, {4642, 34434}, {5262, 17477}, {7146, 10571}, {10459, 44417}, {30818, 59305}, {35652, 72531}, {37662, 51870}, {48299, 63812}, {48306, 57051}, {49997, 58386}, {72550, 72584}

X(72532) = perspector of circumconic {{A, B, C, X(3882), X(65229)}}
X(72532) = X(i)-Dao conjugate of X(j) for these {i, j}: {44417, 75}, {72550, 1240}
X(72532) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 10459}, {10459, 72592}, {56194, 17420}
X(72532) = X(i)-cross conjugate of X(j) for these {i, j}: {72652, 72564}
X(72532) = pole of line {8240, 10459} with respect to the Feuerbach hyperbola
X(72532) = pole of line {2363, 60684} with respect to the Stammler hyperbola
X(72532) = pole of line {6371, 52326} with respect to the Hofstadter ellipse
X(72532) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1089), X(6042)}}, {{A, B, C, X(1193), X(1220)}}, {{A, B, C, X(2092), X(70616)}}, {{A, B, C, X(2292), X(10457)}}, {{A, B, C, X(3666), X(10475)}}
X(72532) = barycentric product X(i)*X(j) for these (i, j): {1, 72550}, {57, 72584}, {63, 72564}, {81, 72592}, {333, 72652}, {1193, 44417}, {10455, 2092}, {10457, 1211}, {10459, 3666}, {10475, 3687}
X(72532) = barycentric quotient X(i)/X(j) for these (i, j): {10455, 40827}, {10457, 14534}, {10459, 30710}, {10475, 64984}, {44417, 1240}, {72550, 75}, {72564, 92}, {72584, 312}, {72592, 321}, {72652, 226}
X(72532) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {960, 1193, 3725}, {72550, 72584, 72592}

X(72533) = {X(1), X(64)}-CROSS-CONCEVIAN PERSPECTOR

X(72533) lies on circumconic {{A, B, C, X(1042), X(1043)}} and on these lines: {1, 75}, {42, 3698}, {56, 72607}, {354, 1201}, {386, 3833}, {714, 17480}, {758, 3976}, {922, 2360}, {960, 4022}, {995, 63354}, {1015, 40978}, {1042, 40933}, {1104, 3248}, {1149, 2292}, {1191, 72606}, {1193, 3742}, {1616, 3747}, {2658, 3924}, {3230, 72649}, {3720, 72532}, {3724, 32577}, {3743, 56804}, {4128, 53547}, {5436, 71872}, {8240, 69053}, {16502, 42669}, {20228, 72595}, {20718, 45219}, {27798, 59310}, {35016, 52564}, {40133, 40977}, {40984, 72638}, {53541, 64159}

X(72533) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 65670}, {658, 798}
X(72533) = pole of line {21334, 65670} with respect to the Feuerbach hyperbola
X(72533) = pole of line {798, 7180} with respect to the Hofstadter ellipse
X(72533) = barycentric product X(i)*X(j) for these (i, j): {1427, 65670}
X(72533) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1201, 2650, 3725}

X(72534) = {X(1), X(79)}-CROSS-CONCEVIAN PERSPECTOR

X(72534) lies on these lines: {1, 201}, {6, 21808}, {34, 1419}, {65, 2293}, {73, 354}, {81, 40602}, {221, 61398}, {244, 52544}, {500, 942}, {581, 18398}, {950, 15938}, {1100, 18675}, {1104, 2308}, {1201, 17609}, {1319, 72528}, {1480, 68668}, {2299, 2906}, {2310, 11553}, {3157, 15934}, {4977, 21111}, {5045, 34586}, {5712, 36574}, {5717, 68370}, {7004, 10122}, {7069, 10399}, {11011, 72526}, {14054, 40967}, {15476, 64377}, {37523, 67934}, {62847, 66951}

X(72534) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 37080}
X(72534) = pole of line {11553, 37080} with respect to the Feuerbach hyperbola
X(72534) = pole of line {15228, 56320} with respect to the Suppa-Cucoanes circle
X(72534) = pole of line {33525, 50354} with respect to the Hofstadter ellipse
X(72534) = intersection, other than A, B, C, of circumconics {{A, B, C, X(942), X(943)}}, {{A, B, C, X(1794), X(4303)}}
X(72534) = barycentric product X(i)*X(j) for these (i, j): {37080, 5249}
X(72534) = barycentric quotient X(i)/X(j) for these (i, j): {37080, 40435}

X(72535) = {X(1), X(81)}-CROSS-CONCEVIAN PERSPECTOR

X(72535) lies on these lines: {1, 748}, {31, 41417}, {36, 27787}, {55, 4497}, {244, 4038}, {678, 3745}, {1100, 1962}, {1193, 52495}, {3251, 4983}, {3711, 5311}, {3720, 71718}, {3795, 17018}, {4649, 42039}, {4658, 40592}, {4722, 62851}, {4969, 8040}, {5625, 45222}, {9340, 17592}, {9352, 37604}, {18673, 44840}, {19743, 71874}, {29819, 53552}, {31264, 58820}, {38349, 69841}, {41820, 71333}, {42038, 62821}, {42439, 72553}, {50293, 71631}

X(72535) = perspector of circumconic {{A, B, C, X(35342), X(37212)}}
X(72535) = X(i)-isoconjugate-of-X(j) for these {i, j}: {4608, 28176}
X(72535) = X(i)-Dao conjugate of X(j) for these {i, j}: {3634, 75}, {51573, 1268}, {72553, 32018}
X(72535) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 3723}, {100, 4979}, {3723, 72617}
X(72535) = X(i)-cross conjugate of X(j) for these {i, j}: {72617, 72553}
X(72535) = pole of line {40438, 60688} with respect to the Stammler hyperbola
X(72535) = pole of line {4979, 4983} with respect to the Hofstadter ellipse
X(72535) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1100), X(1255)}}, {{A, B, C, X(1126), X(2308)}}, {{A, B, C, X(1962), X(42439)}}, {{A, B, C, X(3683), X(32635)}}
X(72535) = barycentric product X(i)*X(j) for these (i, j): {1, 72553}, {86, 72617}, {1100, 3634}, {1125, 3723}, {2308, 4980}, {3683, 3982}, {4427, 48019}, {28175, 35342}, {32636, 4060}, {34502, 9}, {42439, 81}, {58179, 65161}
X(72535) = barycentric quotient X(i)/X(j) for these (i, j): {3634, 32018}, {3723, 1268}, {34502, 85}, {42439, 321}, {48019, 4608}, {58179, 47947}, {72553, 75}, {72617, 10}
X(72535) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 1051, 1255}

X(72536) = {X(1), X(86)}-CROSS-CONCEVIAN PERSPECTOR

X(72536) lies on these lines: {1, 872}, {37, 42039}, {192, 17140}, {1961, 71961}, {1962, 58571}, {2292, 4022}, {2667, 3706}, {3159, 49479}, {3248, 39916}, {3723, 17475}, {4043, 4975}, {4065, 67983}, {4113, 4698}, {4319, 64681}, {4714, 49471}, {4977, 23743}, {7278, 39735}, {17461, 48855}, {21806, 64556}, {27804, 72142}, {29824, 58396}, {49475, 59305}

X(72536) = reflection of X(i) in X(j) for these {i,j}: {68077, 58571}
X(72536) = X(i)-Dao conjugate of X(j) for these {i, j}: {4698, 75}
X(72536) = X(i)-Ceva conjugate of X(j) for these {i, j}: {190, 68881}
X(72536) = pole of line {48323, 50485} with respect to the DeLongchamps ellipse
X(72536) = pole of line {6372, 68881} with respect to the Hofstadter ellipse
X(72536) = pole of line {17175, 40439} with respect to the Wallace hyperbola
X(72536) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(3706), X(4113)}}, {{A, B, C, X(3720), X(40433)}}, {{A, B, C, X(3739), X(4698)}}, {{A, B, C, X(21020), X(72048)}}
X(72536) = barycentric product X(i)*X(j) for these (i, j): {75, 72574}, {3691, 4955}, {3720, 4698}, {4436, 47917}
X(72536) = barycentric quotient X(i)/X(j) for these (i, j): {72574, 1}

X(72537) = {X(1), X(89)}-CROSS-CONCEVIAN PERSPECTOR

X(72537) lies on these lines: {1, 4015}, {44, 1962}, {55, 16694}, {89, 46904}, {661, 3251}, {678, 1100}, {756, 39260}, {3715, 16672}, {4784, 38349}, {9330, 56039}, {9345, 39963}, {16666, 21747}, {16676, 61358}, {17013, 62867}, {27787, 59325}

X(72537) = X(i)-Dao conjugate of X(j) for these {i, j}: {3828, 75}
X(72537) = intersection, other than A, B, C, of circumconics {{A, B, C, X(16666), X(40434)}}, {{A, B, C, X(21747), X(41434)}}, {{A, B, C, X(21806), X(56134)}}
X(72537) = barycentric product X(i)*X(j) for these (i, j): {16666, 3828}, {65385, 9}
X(72537) = barycentric quotient X(i)/X(j) for these (i, j): {65385, 85}

X(72538) = {X(1), X(98)}-CROSS-CONCEVIAN PERSPECTOR

X(72538) lies on circumconic {{A, B, C, X(1284), X(56154)}} and on these lines: {1, 1581}, {105, 5147}, {244, 1962}, {354, 17476}, {740, 33891}, {982, 16598}, {1279, 46195}, {1429, 3747}, {2646, 72539}, {2650, 17474}, {2667, 28358}, {3725, 17477}, {4154, 10180}, {8290, 16484}, {38978, 39046}

X(72538) = X(i)-Ceva conjugate of X(j) for these {i, j}: {8056, 2238}
X(72538) = pole of line {21832, 69777} with respect to the Hofstadter ellipse

X(72539) = {X(1), X(101)}-CROSS-CONCEVIAN PERSPECTOR

X(72539) lies on these lines: {1, 85}, {11, 5518}, {55, 9259}, {87, 65952}, {115, 810}, {244, 9511}, {663, 2170}, {1015, 3022}, {1319, 3010}, {1837, 63506}, {1964, 4336}, {2176, 38285}, {2310, 3248}, {2638, 2643}, {2646, 72538}, {2654, 4161}, {3009, 41339}, {3100, 68997}, {3122, 3270}, {3230, 62738}, {4128, 7004}, {4449, 21139}, {4919, 40499}, {8649, 72647}, {14100, 63504}, {17439, 42079}, {17448, 63603}, {17761, 48294}, {18194, 63597}, {23524, 60910}, {40608, 63461}, {45932, 69678}, {51641, 65546}, {63493, 63601}, {63499, 63602}, {63527, 63600}, {68766, 68987}

X(72539) = perspector of circumconic {{A, B, C, X(1024), X(20980)}}
X(72539) = X(i)-isoconjugate-of-X(j) for these {i, j}: {59, 32023}, {651, 30610}, {883, 65371}, {2283, 14727}, {4564, 9311}, {4998, 9309}, {7045, 65952}, {9315, 67038}, {31615, 67028}
X(72539) = X(i)-Dao conjugate of X(j) for these {i, j}: {4147, 6376}, {4885, 75}, {6615, 32023}, {17115, 65952}, {21195, 20935}, {38991, 30610}, {72558, 4572}
X(72539) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1, 4449}, {87, 650}, {673, 46388}, {3062, 649}, {8056, 657}, {8769, 652}, {9316, 20980}, {13478, 798}, {29352, 3768}
X(72539) = pole of line {812, 24840} with respect to the incircle
X(72539) = pole of line {649, 4083} with respect to the Feuerbach hyperbola
X(72539) = pole of line {3271, 6139} with respect to the Hofstadter ellipse
X(72539) = pole of line {9436, 31286} with respect to the dual conic of Yff parabola
X(72539) = pole of line {2887, 18692} with respect to the dual conic of Wallace hyperbola
X(72539) = pole of line {11, 982} with respect to the orthoptic circle of Feuerbach hyperbola
X(72539) = pole of line {115, 69064} with respect to the orthoptic circle of Kiepert hyperbola
X(72539) = intersection, other than A, B, C, of circumconics {{A, B, C, X(85), X(2170)}}, {{A, B, C, X(663), X(664)}}, {{A, B, C, X(2481), X(4014)}}, {{A, B, C, X(9439), X(25716)}}, {{A, B, C, X(16759), X(34018)}}, {{A, B, C, X(38365), X(55082)}}, {{A, B, C, X(62697), X(72258)}}
X(72539) = barycentric product X(i)*X(j) for these (i, j): {1, 72558}, {11, 9310}, {244, 4513}, {1024, 42341}, {1111, 16283}, {1146, 9316}, {1376, 2170}, {2310, 6180}, {3271, 3729}, {4014, 9}, {4449, 650}, {4885, 663}, {14936, 9312}, {16759, 42}, {17218, 3709}, {18199, 4041}, {20907, 3063}, {20980, 522}, {21052, 7252}, {21139, 55}, {22091, 3064}, {27837, 4162}
X(72539) = barycentric quotient X(i)/X(j) for these (i, j): {663, 30610}, {1024, 14727}, {1376, 67038}, {2170, 32023}, {3271, 9311}, {4014, 85}, {4449, 4554}, {4513, 7035}, {4885, 4572}, {9310, 4998}, {9316, 1275}, {14936, 65952}, {16283, 765}, {16759, 310}, {18199, 4625}, {20980, 664}, {21139, 6063}, {22091, 65164}, {24749, 66991}, {72558, 75}
X(72539) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 58034, 664}, {1015, 3022, 72258}, {17439, 46177, 42079}

X(72540) = {X(2), X(3)}-CROSS-CONCEVIAN PERSPECTOR

X(72540) lies on these lines: {2, 276}, {3, 54991}, {5, 53}, {39, 13567}, {132, 38976}, {140, 35071}, {297, 34836}, {549, 63530}, {569, 36433}, {1209, 11672}, {3054, 9243}, {3628, 46841}, {3767, 8265}, {5054, 63529}, {7746, 63847}, {14767, 42368}, {14918, 26216}, {31388, 72570}, {42441, 71264}, {42556, 72561}

X(72540) = complement of X(276)
X(72540) = perspector of circumconic {{A, B, C, X(35360), X(54950)}}
X(72540) = center of circumconic {{A, B, C, X(6528), X(11794)}}
X(72540) = X(i)-Dao conjugate of X(j) for these {i, j}: {14767, 2}, {71254, 36794}
X(72540) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 14767}, {6528, 58305}, {11197, 72561}, {11794, 6368}, {14767, 11197}, {71254, 42556}
X(72540) = X(i)-complementary conjugate of X(j) for these {i, j}: {1, 34850}, {31, 14767}, {48, 3819}, {51, 20305}, {184, 21231}, {216, 2887}, {217, 10}, {343, 21235}, {418, 18589}, {560, 23292}, {798, 53577}, {1625, 21259}, {1924, 47421}, {1953, 21243}, {1973, 389}, {2179, 5}, {2181, 71185}, {3199, 63840}, {9247, 140}, {9417, 52128}, {14575, 16577}, {15451, 21253}, {18695, 40379}, {23181, 42327}, {24019, 58305}, {27372, 16607}, {30493, 17046}, {40981, 226}, {42293, 34846}, {44088, 1214}, {44706, 626}, {44707, 21244}, {44708, 17047}, {44709, 21240}, {52430, 34828}, {61194, 8062}, {61346, 24005}, {62266, 141}, {62267, 71186}, {65485, 8287}, {72591, 1329}, {72605, 34830}, {72613, 41883}, {72616, 16608}, {72618, 3454}, {72643, 2886}
X(72540) = pole of line {15412, 42293} with respect to the polar circle
X(72540) = pole of line {389, 14767} with respect to the Kiepert hyperbola
X(72540) = pole of line {97, 60700} with respect to the Stammler hyperbola
X(72540) = pole of line {15451, 17434} with respect to the Steiner inellipse
X(72540) = pole of line {3819, 10184} with respect to the dual conic of Moses HK-parabola
X(72540) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(46394)}}, {{A, B, C, X(3), X(10003)}}, {{A, B, C, X(5), X(11197)}}, {{A, B, C, X(53), X(60670)}}, {{A, B, C, X(216), X(276)}}, {{A, B, C, X(3199), X(8794)}}, {{A, B, C, X(8887), X(42400)}}, {{A, B, C, X(18027), X(36412)}}, {{A, B, C, X(36952), X(61378)}}, {{A, B, C, X(39530), X(63176)}}
X(72540) = barycentric product X(i)*X(j) for these (i, j): {5, 71254}, {69, 72561}, {264, 42556}, {418, 42368}, {11197, 3}, {14767, 216}, {42400, 5562}
X(72540) = barycentric quotient X(i)/X(j) for these (i, j): {11197, 264}, {14767, 276}, {42368, 57844}, {42400, 8795}, {42556, 3}, {71254, 95}, {72561, 4}
X(72540) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {5, 216, 46394}

X(72541) = {X(2), X(9)}-CROSS-CONCEVIAN PERSPECTOR

X(72541) lies on these lines: {2, 31618}, {37, 11019}, {39, 4000}, {142, 1212}, {6184, 40937}, {6666, 35508}, {8551, 59217}, {9436, 45226}, {16588, 17278}, {16589, 18635}, {31269, 40593}, {34522, 64739}, {44570, 65900}

X(72541) = complement of X(31618)
X(72541) = center of circumconic {{A, B, C, X(4569), X(54118)}}
X(72541) = X(i)-Dao conjugate of X(j) for these {i, j}: {6706, 2}
X(72541) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 6706}, {4569, 6607}, {54118, 6362}
X(72541) = X(i)-complementary conjugate of X(j) for these {i, j}: {31, 6706}, {32, 13405}, {41, 3740}, {142, 17047}, {354, 17046}, {604, 5572}, {1212, 2887}, {1229, 21235}, {1397, 52542}, {1461, 6607}, {1475, 2886}, {1827, 20305}, {1855, 21243}, {1973, 64157}, {2175, 6666}, {2293, 141}, {2488, 116}, {3059, 21244}, {4847, 626}, {8012, 1329}, {9447, 16601}, {9454, 56715}, {10581, 124}, {17194, 21240}, {20229, 10}, {21039, 21245}, {21127, 21252}, {21795, 3454}, {22053, 18639}, {22079, 18589}, {32739, 6362}, {35326, 17072}, {35341, 21260}, {40983, 16608}, {52020, 17052}, {61034, 20547}, {61376, 21258}, {65198, 21262}, {72596, 5}, {72609, 2}, {72623, 46196}, {72637, 142}, {72650, 1368}
X(72541) = pole of line {6706, 64157} with respect to the Kiepert hyperbola
X(72541) = pole of line {2488, 6607} with respect to the Steiner inellipse
X(72541) = pole of line {5572, 6706} with respect to the dual conic of Yff parabola
X(72541) = intersection, other than A, B, C, of circumconics {{A, B, C, X(9), X(10012)}}, {{A, B, C, X(1212), X(6706)}}, {{A, B, C, X(10481), X(39790)}}
X(72541) = barycentric product X(i)*X(j) for these (i, j): {1212, 6706}, {39790, 8}
X(72541) = barycentric quotient X(i)/X(j) for these (i, j): {6706, 31618}, {39790, 7}

X(72542) = {X(2), X(30)}-CROSS-CONCEVIAN PERSPECTOR

X(72542) lies on these lines: {2, 31621}, {30, 1990}, {525, 40506}, {3581, 64645}, {4550, 11074}, {14918, 44579}, {14920, 44575}, {16076, 40477}, {16077, 46270}, {23589, 62606}, {23967, 31378}, {44436, 44578}, {44576, 62583}

X(72542) = midpoint of X(i) and X(j) for these {i,j}: {16077, 46270}, {36435, 39008}
X(72542) = reflection of X(i) in X(j) for these {i,j}: {36435, 3163}
X(72542) = complement of X(31621)
X(72542) = center of circumconic {{A, B, C, X(16077), X(46270)}}
X(72542) = X(i)-Dao conjugate of X(j) for these {i, j}: {34582, 39358}
X(72542) = X(i)-Ceva conjugate of X(j) for these {i, j}: {46270, 30}
X(72542) = X(i)-complementary conjugate of X(j) for these {i, j}: {1099, 626}, {1354, 17046}, {1973, 7687}, {2159, 56371}, {3163, 2887}, {3233, 42327}, {6062, 21244}, {9406, 30}, {9407, 18593}, {9408, 10}, {16240, 20305}, {32676, 62685}, {36789, 21235}, {42074, 141}, {58344, 8287}, {58346, 21253}, {68104, 21262}, {68126, 21260}
X(72542) = pole of line {3081, 14401} with respect to the Steiner inellipse
X(72542) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(36435)}}, {{A, B, C, X(3163), X(31621)}}
X(72542) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {30, 3163, 36435}, {36435, 39008, 30}

X(72543) = {X(2), X(57)}-CROSS-CONCEVIAN PERSPECTOR

X(72543) lies on these lines: {2, 32017}, {10, 16602}, {39, 6554}, {120, 24239}, {978, 15829}, {995, 64897}, {1015, 6692}, {1211, 16610}, {2275, 63621}, {3452, 3663}, {3666, 16594}, {3789, 16569}, {4353, 6686}, {4850, 27130}, {6552, 26029}, {6615, 14434}, {21530, 60415}, {21892, 50092}, {24782, 62552}, {72531, 72582}

X(72543) = complement of X(32017)
X(72543) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1261, 42338}
X(72543) = X(i)-Ceva conjugate of X(j) for these {i, j}: {668, 6363}
X(72543) = X(i)-complementary conjugate of X(j) for these {i, j}: {32, 17355}, {101, 6363}, {604, 5836}, {667, 24237}, {1122, 17046}, {1201, 141}, {1397, 6692}, {1828, 20305}, {1918, 27040}, {1919, 2170}, {2175, 52528}, {2347, 1329}, {3057, 21244}, {3663, 626}, {3752, 2887}, {4642, 21245}, {6363, 116}, {9454, 19593}, {20228, 10}, {21272, 21262}, {21362, 21260}, {21796, 3454}, {22344, 18589}, {23845, 3835}, {26563, 21235}, {32739, 2490}, {40982, 41883}, {42336, 4904}, {48334, 21252}, {52563, 17047}, {59173, 2886}, {65802, 13609}
X(72543) = pole of line {6363, 6615} with respect to the Steiner inellipse
X(72543) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3752), X(32017)}}, {{A, B, C, X(21796), X(56258)}}
X(72543) = barycentric product X(i)*X(j) for these (i, j): {7, 72582}, {75, 72531}
X(72543) = barycentric quotient X(i)/X(j) for these (i, j): {59173, 42338}, {72531, 1}, {72582, 8}
X(72543) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3752, 45204, 21796}

X(72544) = {X(2), X(67)}-CROSS-CONCEVIAN PERSPECTOR

X(72544) lies on these lines: {2, 18023}, {39, 597}, {126, 35971}, {187, 6593}, {216, 2493}, {574, 32740}, {1576, 5206}, {1649, 2491}, {3003, 5181}, {5099, 52967}, {5106, 46127}, {6698, 17416}, {7664, 7806}, {9155, 21906}, {11052, 35073}, {16308, 46986}, {20977, 22087}, {23991, 51389}, {35138, 57926}, {36792, 45330}, {39602, 45163}

X(72544) = isogonal conjugate of X(72467)
X(72544) = complement of X(18023)
X(72544) = perspector of circumconic {{A, B, C, X(20977), X(33601)}}
X(72544) = center of circumconic {{A, B, C, X(2998), X(11794)}}
X(72544) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 72467}, {897, 57926}, {46277, 57729}
X(72544) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 72467}, {625, 2}, {6593, 57926}
X(72544) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 625}, {2998, 524}, {11794, 690}, {35138, 62412}
X(72544) = X(i)-complementary conjugate of X(j) for these {i, j}: {6, 21256}, {31, 625}, {32, 4892}, {163, 45689}, {187, 2887}, {351, 21253}, {524, 21235}, {560, 524}, {896, 626}, {922, 141}, {1501, 16611}, {1917, 3291}, {1923, 71119}, {1924, 1648}, {2642, 53575}, {5467, 42327}, {5468, 21263}, {9247, 5159}, {14210, 40379}, {14567, 10}, {14598, 25383}, {23200, 18589}, {23889, 23301}, {23995, 11053}, {44102, 20305}, {51653, 17047}, {59175, 21234}, {61207, 21259}
X(72544) = pole of line {8859, 42008} with respect to the Stammler hyperbola
X(72544) = pole of line {351, 39689} with respect to the Steiner inellipse
X(72544) = pole of line {62657, 72467} with respect to the Wallace hyperbola
X(72544) = pole of line {625, 21256} with respect to the dual conic of Yff parabola
X(72544) = intersection, other than A, B, C, of circumconics {{A, B, C, X(187), X(625)}}, {{A, B, C, X(20977), X(25322)}}, {{A, B, C, X(40517), X(40826)}}, {{A, B, C, X(57926), X(62412)}}
X(72544) = barycentric product X(i)*X(j) for these (i, j): {187, 625}, {17472, 896}, {20904, 922}, {20977, 524}, {22087, 468}, {41911, 69}
X(72544) = barycentric quotient X(i)/X(j) for these (i, j): {6, 72467}, {187, 57926}, {625, 18023}, {14567, 57729}, {17472, 46277}, {20904, 57999}, {20977, 671}, {22087, 30786}, {41911, 4}

X(72545) = {X(2), X(68)}-CROSS-CONCEVIAN PERSPECTOR

X(72545) lies on these lines: {2, 276}, {3, 1625}, {5, 46841}, {30, 63530}, {39, 441}, {140, 216}, {217, 417}, {230, 9243}, {418, 70056}, {577, 1147}, {5449, 39019}, {6389, 28407}, {7746, 72547}, {8265, 28697}, {13409, 61334}, {14920, 23584}, {22052, 37081}, {22401, 61607}, {36794, 57274}, {44436, 52289}, {52967, 72115}, {53175, 58305}

X(72545) = complement of X(18027)
X(72545) = perspector of circumconic {{A, B, C, X(15958), X(54950)}}
X(72545) = center of circumconic {{A, B, C, X(11794), X(18831)}}
X(72545) = X(i)-Dao conjugate of X(j) for these {i, j}: {71185, 2}
X(72545) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 71185}, {11794, 520}, {13409, 6752}, {18831, 58305}
X(72545) = X(i)-complementary conjugate of X(j) for these {i, j}: {31, 71185}, {32, 63840}, {48, 21243}, {184, 20305}, {255, 626}, {326, 40379}, {394, 21235}, {560, 13567}, {577, 2887}, {822, 53575}, {1501, 24005}, {1917, 3767}, {2169, 34850}, {4055, 21245}, {4100, 1368}, {6056, 21244}, {7125, 17047}, {7335, 17046}, {9247, 5}, {9447, 15849}, {14575, 226}, {14585, 10}, {23606, 18589}, {23963, 23998}, {23995, 59698}, {32661, 21259}, {39201, 21253}, {40373, 16583}, {52430, 141}, {58310, 8287}, {61361, 37}, {62256, 21231}, {62257, 3452}, {62258, 142}, {62267, 14767}, {62269, 389}
X(72545) = pole of line {324, 401} with respect to the Stammler hyperbola
X(72545) = pole of line {32320, 39201} with respect to the Steiner inellipse
X(72545) = pole of line {44137, 62274} with respect to the Wallace hyperbola
X(72545) = pole of line {21243, 71185} with respect to the dual conic of Moses HK-parabola
X(72545) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(36433)}}, {{A, B, C, X(577), X(18027)}}, {{A, B, C, X(1987), X(6752)}}, {{A, B, C, X(6662), X(13409)}}, {{A, B, C, X(8794), X(61334)}}
X(72545) = barycentric product X(i)*X(j) for these (i, j): {4, 62549}, {394, 71202}, {577, 71185}, {1092, 6747}, {3926, 61334}, {6752, 69}, {13409, 3}, {14379, 71231}, {21638, 5562}
X(72545) = barycentric quotient X(i)/X(j) for these (i, j): {6752, 4}, {13409, 264}, {21638, 8795}, {61334, 393}, {62549, 69}, {71185, 18027}, {71202, 2052}
X(72545) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {577, 1147, 36433}, {35071, 46394, 3}

X(72546) = {X(2), X(70)}-CROSS-CONCEVIAN PERSPECTOR

X(72546) lies on circumconic {{A, B, C, X(571), X(57904)}} and on these lines: {2, 57903}, {32, 1147}, {39, 37649}, {136, 27371}, {216, 7542}, {571, 34116}, {574, 15827}, {1506, 34835}, {3767, 23584}, {7746, 63847}, {31455, 70254}, {55072, 71202}

X(72546) = complement of X(57904)
X(72546) = X(i)-Ceva conjugate of X(j) for these {i, j}: {11794, 924}
X(72546) = X(i)-complementary conjugate of X(j) for these {i, j}: {32, 34825}, {47, 626}, {560, 343}, {563, 1368}, {571, 2887}, {1917, 7746}, {1973, 5449}, {1974, 63843}, {1993, 21235}, {9247, 11585}, {14575, 18588}, {34952, 21253}, {44077, 20305}, {44179, 40379}, {52435, 18589}, {52436, 10}, {55216, 53575}, {61208, 21259}, {62269, 1216}
X(72546) = pole of line {30451, 34952} with respect to the Steiner inellipse

X(72547) = {X(2), X(74)}-CROSS-CONCEVIAN PERSPECTOR

X(72547) lies on circumconic {{A, B, C, X(3003), X(40832)}} and on these lines: {2, 40832}, {39, 6388}, {113, 3003}, {115, 131}, {3016, 51544}, {3767, 23584}, {5309, 8265}, {7746, 72545}, {11672, 39021}, {40695, 53428}, {40696, 53440}

X(72547) = complement of X(40832)
X(72547) = center of circumconic {{A, B, C, X(2996), X(11794)}}
X(72547) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2996, 13754}, {11794, 55121}
X(72547) = X(i)-complementary conjugate of X(j) for these {i, j}: {560, 11064}, {798, 3134}, {1725, 626}, {1924, 2088}, {1973, 13754}, {2315, 1368}, {3003, 2887}, {3580, 21235}, {9247, 10257}, {9406, 52010}, {9417, 47049}, {15329, 42327}, {21731, 21253}, {44084, 20305}, {60498, 21256}, {61188, 21263}, {61209, 21259}, {61372, 21231}, {62269, 14156}
X(72547) = pole of line {686, 21731} with respect to the Steiner inellipse
X(72547) = pole of line {115, 136} with respect to the orthoptic circle of Kiepert hyperbola

X(72548) = {X(2), X(79)}-CROSS-CONCEVIAN PERSPECTOR

X(72548) lies on circumconic {{A, B, C, X(1100), X(17239)}} and on these lines: {2, 7230}, {37, 19862}, {39, 17397}, {846, 71204}, {1015, 3743}, {1100, 3647}, {1212, 5325}, {1500, 49560}, {3666, 16589}, {4854, 31488}, {4970, 70159}, {4988, 21132}, {5283, 16816}, {6184, 35076}, {6377, 52539}, {6533, 59218}, {6701, 53167}, {16777, 24047}, {16884, 41417}, {17746, 20970}, {17755, 52548}, {18591, 37565}, {20108, 71525}

X(72548) = complement of X(32018)
X(72548) = center of circumconic {{A, B, C, X(32042), X(54118)}}
X(72548) = X(i)-Dao conjugate of X(j) for these {i, j}: {17239, 2}
X(72548) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 17239}, {54118, 4977}
X(72548) = X(i)-complementary conjugate of X(j) for these {i, j}: {31, 17239}, {32, 3634}, {553, 17047}, {560, 44307}, {692, 48049}, {1100, 2887}, {1125, 626}, {1269, 40379}, {1333, 27798}, {1839, 21243}, {1918, 41809}, {1919, 3120}, {1962, 21245}, {1980, 16726}, {2206, 6707}, {2308, 141}, {2355, 20305}, {3683, 21244}, {4359, 21235}, {4427, 21262}, {4979, 21252}, {4983, 21253}, {4988, 53575}, {20970, 3454}, {22054, 1368}, {23201, 18589}, {32636, 17046}, {32739, 4977}, {35327, 3835}, {35342, 21260}, {36075, 17072}, {50512, 116}, {57657, 18253}, {59179, 21236}, {69840, 21240}, {72606, 1211}, {72612, 1213}, {72628, 21530}, {72639, 17052}
X(72548) = pole of line {4979, 4983} with respect to the Steiner inellipse
X(72548) = pole of line {17239, 27798} with respect to the dual conic of Yff parabola
X(72548) = barycentric product X(i)*X(j) for these (i, j): {1100, 17239}, {1125, 3989}, {4427, 48059}, {17210, 1962}, {35342, 47673}
X(72548) = barycentric quotient X(i)/X(j) for these (i, j): {3989, 1268}, {17239, 32018}, {48059, 4608}

X(72549) = {X(2), X(80)}-CROSS-CONCEVIAN PERSPECTOR

X(72549) lies on these lines: {2, 4403}, {6, 22141}, {9, 8649}, {37, 537}, {39, 4850}, {44, 214}, {45, 106}, {101, 4268}, {121, 25352}, {190, 24874}, {665, 6544}, {1145, 6184}, {1212, 31197}, {1278, 27348}, {1320, 52966}, {1960, 14408}, {2087, 14439}, {2802, 21885}, {4422, 46914}, {4597, 32012}, {4674, 20331}, {5283, 19740}, {6702, 61073}, {8299, 71846}, {16573, 18591}, {16583, 63622}, {16589, 16592}, {16593, 70371}, {16610, 49758}, {16975, 36534}, {20662, 21839}, {20972, 40988}, {33133, 39593}, {33950, 37512}, {39244, 70526}, {41940, 62802}, {52963, 71094}, {66508, 68743}

X(72549) = isogonal conjugate of X(72449)
X(72549) = complement of X(20568)
X(72549) = perspector of circumconic {{A, B, C, X(17449), X(43361)}}
X(72549) = center of circumconic {{A, B, C, X(330), X(4597)}}
X(72549) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 72449}, {106, 32012}, {903, 57401}, {23598, 59070}
X(72549) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 72449}, {214, 32012}, {3834, 2}
X(72549) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 3834}, {330, 519}, {40522, 1635}, {54118, 900}
X(72549) = X(i)-complementary conjugate of X(j) for these {i, j}: {6, 21241}, {31, 3834}, {32, 519}, {41, 5123}, {44, 2887}, {101, 53571}, {519, 626}, {560, 16610}, {692, 4928}, {902, 141}, {1017, 121}, {1023, 21260}, {1319, 17046}, {1397, 17067}, {1404, 2886}, {1501, 8610}, {1576, 45674}, {1635, 21252}, {1918, 3936}, {1919, 1647}, {1922, 25351}, {1960, 116}, {1980, 71003}, {2205, 68883}, {2206, 4395}, {2251, 10}, {3264, 40379}, {3285, 3741}, {3689, 21244}, {3911, 17047}, {4120, 53575}, {4358, 21235}, {4730, 21253}, {8756, 21243}, {9247, 60415}, {9459, 2}, {14407, 125}, {14436, 55061}, {17780, 21262}, {21805, 21245}, {22356, 1368}, {23202, 18589}, {23344, 3835}, {23990, 62630}, {30554, 9461}, {32739, 900}, {40172, 21237}, {41935, 68451}, {52680, 21240}, {52963, 3454}, {55243, 21263}, {61210, 17072}, {69474, 21256}, {69838, 42327}, {69839, 23301}
X(72549) = pole of line {678, 1635} with respect to the Steiner inellipse
X(72549) = pole of line {3834, 21241} with respect to the dual conic of Yff parabola
X(72549) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(1017)}}, {{A, B, C, X(44), X(3834)}}, {{A, B, C, X(16723), X(39982)}}, {{A, B, C, X(17449), X(39697)}}
X(72549) = barycentric product X(i)*X(j) for these (i, j): {1023, 21115}, {3834, 44}, {16723, 37}, {17179, 21805}, {17449, 519}, {18198, 3943}, {20893, 902}, {21026, 52680}, {22067, 38462}, {23214, 264}
X(72549) = barycentric quotient X(i)/X(j) for these (i, j): {6, 72449}, {44, 32012}, {2251, 57401}, {3834, 20568}, {16723, 274}, {17449, 903}, {20893, 57995}, {23214, 3}
X(72549) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {44, 214, 1017}, {214, 1017, 52965}, {2087, 21821, 17460}, {14439, 17460, 21821}

X(72550) = {X(2), X(81)}-CROSS-CONCEVIAN PERSPECTOR

X(72550) lies on these lines: {2, 1240}, {10, 3752}, {37, 3452}, {38, 181}, {43, 3789}, {63, 4274}, {120, 15611}, {386, 3940}, {984, 9564}, {986, 9565}, {999, 19261}, {1015, 6703}, {1107, 5745}, {1211, 2092}, {1573, 5737}, {1682, 2292}, {2051, 4415}, {3210, 34258}, {3989, 61051}, {4111, 59308}, {4419, 9535}, {4503, 61412}, {4850, 62586}, {5283, 6554}, {5437, 59311}, {5530, 17757}, {5741, 28606}, {5743, 21796}, {6552, 59299}, {6685, 17793}, {7179, 17080}, {9547, 69285}, {10459, 10475}, {13466, 39015}, {14434, 42758}, {14829, 41232}, {15509, 70550}, {16589, 52535}, {16594, 44307}, {16975, 37642}, {17306, 61325}, {18592, 21530}, {19858, 31198}, {21361, 62818}, {53543, 72293}, {58391, 71085}, {72532, 72584}

X(72550) = complement of X(30710)
X(72550) = perspector of circumconic {{A, B, C, X(53332), X(65282)}}
X(72550) = center of circumconic {{A, B, C, X(668), X(56188)}}
X(72550) = X(i)-Dao conjugate of X(j) for these {i, j}: {44417, 2}
X(72550) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 44417}, {668, 6371}, {56188, 3910}
X(72550) = X(i)-complementary conjugate of X(j) for these {i, j}: {6, 3831}, {31, 44417}, {32, 5750}, {48, 37613}, {101, 6371}, {604, 3812}, {649, 53566}, {667, 17197}, {692, 69310}, {904, 15985}, {960, 21244}, {1193, 141}, {1333, 49598}, {1397, 39595}, {1576, 8045}, {1829, 20305}, {1848, 21243}, {1918, 52538}, {1919, 3125}, {2092, 3454}, {2150, 52531}, {2206, 6703}, {2269, 1329}, {2292, 21245}, {2300, 10}, {2354, 5}, {3666, 2887}, {3674, 17047}, {3725, 1211}, {3882, 21260}, {3939, 65848}, {4267, 21246}, {4357, 626}, {6371, 116}, {20911, 21235}, {20967, 3452}, {21124, 53575}, {22074, 34823}, {22097, 1368}, {22345, 18589}, {24471, 17046}, {32739, 68794}, {40153, 3741}, {40976, 41883}, {48131, 21252}, {50330, 21253}, {52326, 124}, {53280, 3835}, {53332, 21262}, {54308, 21240}, {57157, 1086}, {61168, 31946}, {61205, 20316}, {61412, 2886}
X(72550) = pole of line {6371, 17420} with respect to the Steiner inellipse
X(72550) = pole of line {14534, 40153} with respect to the Wallace hyperbola
X(72550) = pole of line {3812, 3831} with respect to the dual conic of Yff parabola
X(72550) = pole of line {37613, 44417} with respect to the dual conic of Moses HK-parabola
X(72550) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1211), X(60264)}}, {{A, B, C, X(2092), X(14624)}}, {{A, B, C, X(3666), X(10475)}}, {{A, B, C, X(3687), X(10459)}}, {{A, B, C, X(10455), X(39774)}}
X(72550) = barycentric product X(i)*X(j) for these (i, j): {7, 72584}, {69, 72564}, {75, 72532}, {86, 72592}, {314, 72652}, {3666, 44417}, {10455, 2292}, {10457, 18697}, {10459, 4357}
X(72550) = barycentric quotient X(i)/X(j) for these (i, j): {10457, 2363}, {10459, 1220}, {10475, 961}, {44417, 30710}, {72532, 1}, {72564, 4}, {72584, 8}, {72592, 10}, {72652, 65}
X(72550) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3666, 3687, 2092}

X(72551) = {X(2), X(83)}-CROSS-CONCEVIAN PERSPECTOR

X(72551) lies on these lines: {2, 3108}, {3, 7889}, {32, 63119}, {39, 51126}, {76, 55759}, {99, 60100}, {114, 3628}, {115, 6704}, {141, 41940}, {546, 49112}, {574, 51579}, {618, 6695}, {619, 6694}, {620, 39091}, {632, 11272}, {754, 16897}, {1125, 3932}, {1506, 8363}, {2482, 7819}, {3090, 7710}, {3091, 7913}, {3456, 21513}, {3525, 9753}, {3589, 5007}, {3618, 7826}, {3746, 8299}, {3763, 7890}, {4045, 68525}, {5041, 34573}, {5355, 69417}, {5976, 6683}, {6337, 7820}, {6680, 16987}, {6722, 52034}, {7770, 63957}, {7786, 10335}, {7789, 51587}, {7801, 51588}, {7813, 51127}, {7822, 69437}, {7834, 51580}, {7844, 33261}, {7854, 47352}, {7863, 11165}, {7876, 11057}, {8362, 15810}, {8369, 51584}, {8786, 16922}, {9167, 14043}, {11147, 14001}, {11284, 40125}, {13701, 52046}, {13821, 52045}, {14023, 63109}, {14971, 32992}, {15850, 55861}, {16043, 37809}, {17337, 52782}, {17538, 54890}, {21516, 40592}, {29614, 33157}, {31173, 66346}, {31239, 41756}, {31268, 63020}, {33237, 51589}, {34452, 37338}, {37512, 51585}, {44562, 66342}, {55738, 63927}

X(72551) = midpoint of X(i) and X(j) for these {i,j}: {10159, 51860}
X(72551) = reflection of X(i) in X(j) for these {i,j}: {39091, 620}
X(72551) = inverse of X(6704) in Kiepert hyperbola
X(72551) = inverse of X(60100) in Wallace hyperbola
X(72551) = complement of X(10159)
X(72551) = perspector of circumconic {{A, B, C, X(10330), X(35137)}}
X(72551) = X(i)-Dao conjugate of X(j) for these {i, j}: {5041, 14250}, {6292, 60100}, {34573, 2}
X(72551) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 34573}, {99, 7927}
X(72551) = X(i)-complementary conjugate of X(j) for these {i, j}: {1, 7849}, {6, 28595}, {31, 34573}, {32, 28594}, {48, 10691}, {163, 7927}, {428, 20305}, {692, 69291}, {798, 39691}, {922, 31128}, {1924, 51906}, {3589, 2887}, {4030, 21244}, {5007, 10}, {7198, 17046}, {7927, 21253}, {8664, 8287}, {10330, 42327}, {11205, 21249}, {17200, 21240}, {17457, 21248}, {17469, 141}, {18062, 23301}, {21802, 3454}, {22352, 18589}, {39998, 21235}, {44091, 226}, {46289, 6704}, {48101, 21252}, {59180, 21238}, {61211, 4369}, {72611, 16587}
X(72551) = pole of line {6704, 7849} with respect to the Kiepert hyperbola
X(72551) = pole of line {3108, 5007} with respect to the Stammler hyperbola
X(72551) = pole of line {7927, 8664} with respect to the Steiner inellipse
X(72551) = pole of line {3589, 10159} with respect to the Wallace hyperbola
X(72551) = pole of line {28595, 34573} with respect to the dual conic of Yff parabola
X(72551) = pole of line {10691, 34573} with respect to the dual conic of Moses HK-parabola
X(72551) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(14381)}}, {{A, B, C, X(83), X(64939)}}, {{A, B, C, X(3108), X(5007)}}, {{A, B, C, X(3589), X(10159)}}, {{A, B, C, X(6292), X(61418)}}, {{A, B, C, X(7767), X(57852)}}, {{A, B, C, X(7927), X(60100)}}, {{A, B, C, X(39784), X(62890)}}
X(72551) = barycentric product X(i)*X(j) for these (i, j): {34573, 3589}, {39998, 5041}, {52285, 7767}
X(72551) = barycentric quotient X(i)/X(j) for these (i, j): {3589, 60100}, {5007, 34572}, {5041, 3108}, {34573, 10159}
X(72551) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 51860, 10159}, {3589, 39784, 6292}, {6704, 7859, 115}

X(72552) = {X(2), X(85)}-CROSS-CONCEVIAN PERSPECTOR

X(72552) lies on these lines: {1, 3826}, {2, 220}, {37, 24181}, {142, 1212}, {170, 42356}, {218, 17337}, {223, 41867}, {241, 16585}, {664, 32015}, {1086, 16601}, {1125, 50441}, {1146, 6706}, {1500, 3752}, {2140, 17747}, {3008, 17056}, {3160, 34522}, {3628, 31273}, {3763, 19855}, {3925, 59217}, {4675, 16572}, {5308, 20182}, {5723, 40612}, {6603, 58433}, {6608, 62579}, {6666, 58816}, {7178, 21921}, {16593, 17050}, {17158, 17244}, {17234, 27304}, {17384, 18641}, {17672, 53241}, {19862, 28874}, {20335, 38930}, {21049, 24774}, {21617, 45227}, {27147, 41771}, {28742, 68925}, {31183, 37662}, {32007, 60709}, {35110, 60999}, {39035, 40480}, {43035, 56846}, {51406, 58442}, {72525, 72585}

X(72552) = isogonal conjugate of X(72457)
X(72552) = complement of X(32008)
X(72552) = perspector of circumconic {{A, B, C, X(6606), X(35312)}}
X(72552) = center of circumconic {{A, B, C, X(664), X(43191)}}
X(72552) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 72457}, {58104, 62747}
X(72552) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 72457}, {1212, 32015}, {6666, 2}
X(72552) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 6666}, {664, 6362}, {6666, 42438}
X(72552) = X(i)-complementary conjugate of X(j) for these {i, j}: {6, 3740}, {31, 6666}, {32, 16601}, {56, 6706}, {142, 2887}, {213, 46196}, {354, 141}, {604, 13405}, {608, 64157}, {667, 1111}, {1106, 52542}, {1212, 1329}, {1233, 21235}, {1407, 5572}, {1415, 6362}, {1418, 2886}, {1475, 10}, {1827, 41883}, {2293, 3452}, {2488, 26932}, {3063, 3119}, {3925, 21245}, {4617, 6607}, {4847, 21244}, {8551, 5574}, {10481, 17046}, {10581, 5514}, {17169, 21240}, {17194, 21246}, {18087, 21238}, {18164, 3741}, {20229, 9}, {20880, 626}, {21104, 21252}, {21127, 124}, {21808, 3454}, {22053, 18589}, {35310, 31946}, {35326, 513}, {35338, 3835}, {35341, 59971}, {40983, 226}, {48151, 116}, {52020, 1211}, {52635, 56715}, {53241, 20544}, {55282, 21253}, {57656, 40659}, {59181, 17047}, {61034, 21250}, {61376, 142}, {63203, 17072}, {65195, 21260}, {68743, 120}, {72596, 20262}, {72601, 34831}, {72609, 1212}, {72637, 2}, {72650, 34823}
X(72552) = X(i)-cross conjugate of X(j) for these {i, j}: {42438, 72585}
X(72552) = pole of line {6666, 46196} with respect to the Kiepert hyperbola
X(72552) = pole of line {6362, 6608} with respect to the Steiner inellipse
X(72552) = pole of line {16713, 72457} with respect to the Wallace hyperbola
X(72552) = pole of line {3740, 5572} with respect to the dual conic of Yff parabola
X(72552) = intersection, other than A, B, C, of circumconics {{A, B, C, X(85), X(10012)}}, {{A, B, C, X(142), X(6666)}}, {{A, B, C, X(1170), X(1418)}}, {{A, B, C, X(1212), X(6605)}}, {{A, B, C, X(6362), X(32015)}}, {{A, B, C, X(10481), X(21453)}}, {{A, B, C, X(52023), X(60229)}}
X(72552) = barycentric product X(i)*X(j) for these (i, j): {7, 72585}, {75, 72525}, {142, 6666}, {4847, 58816}, {6063, 72632}, {17201, 3925}, {20880, 3748}, {42438, 85}, {61192, 6362}
X(72552) = barycentric quotient X(i)/X(j) for these (i, j): {6, 72457}, {142, 32015}, {3748, 2346}, {6666, 32008}, {42438, 9}, {58816, 21453}, {61192, 6606}, {72525, 1}, {72585, 8}, {72632, 55}
X(72552) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 45226, 52818}, {2, 55082, 58458}

X(72553) = {X(2), X(86)}-CROSS-CONCEVIAN PERSPECTOR

X(72553) lies on these lines: {2, 594}, {6, 5550}, {9, 583}, {10, 46845}, {37, 19862}, {86, 25358}, {141, 29612}, {214, 56954}, {551, 70264}, {599, 28641}, {966, 61302}, {1030, 5284}, {1086, 6651}, {1100, 1125}, {1698, 17388}, {2160, 14844}, {2171, 7294}, {2178, 8167}, {2238, 72574}, {3161, 16675}, {3589, 29609}, {3616, 17362}, {3634, 3723}, {3739, 31336}, {3833, 21863}, {3943, 19878}, {4370, 5750}, {4422, 41841}, {4478, 29580}, {4687, 27481}, {4698, 17755}, {4708, 63401}, {4748, 28626}, {4798, 17334}, {4873, 16673}, {4988, 6544}, {5047, 21773}, {5257, 16590}, {5326, 17452}, {5513, 46660}, {5949, 27555}, {6532, 24067}, {7277, 17248}, {15668, 48632}, {16593, 17384}, {16667, 17330}, {16677, 26039}, {16826, 48635}, {16884, 46934}, {17245, 25498}, {17246, 50119}, {17275, 25055}, {17299, 64850}, {17325, 62778}, {17326, 49738}, {17337, 29603}, {17340, 36911}, {17365, 63014}, {17390, 29592}, {17392, 28640}, {17397, 69557}, {21873, 58565}, {25480, 32018}, {29578, 34573}, {29581, 51128}, {29586, 31248}, {30561, 32782}, {30593, 59214}, {34522, 38015}, {37508, 61272}, {38314, 62224}, {42439, 72535}, {47355, 59405}, {48051, 69843}, {49509, 51126}, {50082, 51109}, {60996, 62383}, {62558, 68881}

X(72553) = reflection of X(i) in X(j) for these {i,j}: {41841, 4422}
X(72553) = complement of X(1268)
X(72553) = perspector of circumconic {{A, B, C, X(4427), X(6540)}}
X(72553) = center of circumconic {{A, B, C, X(190), X(42362)}}
X(72553) = X(i)-isoconjugate-of-X(j) for these {i, j}: {28176, 47947}
X(72553) = X(i)-Dao conjugate of X(j) for these {i, j}: {3634, 2}, {51573, 1255}
X(72553) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 3634}, {190, 4977}, {3634, 42439}
X(72553) = X(i)-complementary conjugate of X(j) for these {i, j}: {6, 17239}, {31, 3634}, {32, 44307}, {58, 27798}, {101, 48049}, {213, 41809}, {553, 17046}, {667, 3120}, {692, 4977}, {1100, 141}, {1125, 2887}, {1213, 21245}, {1269, 21235}, {1333, 6707}, {1576, 8043}, {1839, 20305}, {1919, 16726}, {1962, 3454}, {2194, 18253}, {2205, 52539}, {2206, 3743}, {2308, 10}, {2355, 5}, {3683, 1329}, {3686, 21244}, {3916, 1368}, {4359, 626}, {4427, 21260}, {4974, 20542}, {4977, 21252}, {4979, 116}, {4983, 125}, {4988, 21253}, {6186, 6701}, {8025, 21240}, {20970, 1211}, {22054, 18589}, {22080, 21530}, {23201, 3}, {30591, 53575}, {32636, 2886}, {32739, 48003}, {35327, 513}, {35342, 3835}, {36075, 4885}, {50512, 11}, {56875, 21243}, {57129, 24185}, {59179, 25639}, {61225, 17072}, {65161, 21262}, {69840, 3741}, {69841, 53564}, {69842, 31946}, {72599, 50036}, {72606, 1213}, {72612, 16589}, {72624, 38930}, {72628, 440}, {72639, 442}, {72640, 17052}
X(72553) = X(i)-cross conjugate of X(j) for these {i, j}: {72535, 34502}, {72617, 72535}
X(72553) = pole of line {3634, 41809} with respect to the Kiepert hyperbola
X(72553) = pole of line {4977, 14779} with respect to the Steiner circumellipse
X(72553) = pole of line {4969, 4976} with respect to the Steiner inellipse
X(72553) = pole of line {8025, 32014} with respect to the Wallace hyperbola
X(72553) = pole of line {3634, 6707} with respect to the dual conic of Yff parabola
X(72553) = intersection, other than A, B, C, of circumconics {{A, B, C, X(86), X(64946)}}, {{A, B, C, X(1100), X(1255)}}, {{A, B, C, X(1125), X(1268)}}, {{A, B, C, X(1213), X(6539)}}, {{A, B, C, X(3686), X(4060)}}, {{A, B, C, X(4969), X(31011)}}, {{A, B, C, X(4980), X(43260)}}, {{A, B, C, X(5506), X(51573)}}, {{A, B, C, X(20970), X(52555)}}, {{A, B, C, X(28175), X(71333)}}
X(72553) = barycentric product X(i)*X(j) for these (i, j): {75, 72535}, {274, 72617}, {1100, 4980}, {1125, 3634}, {3686, 3982}, {3723, 4359}, {4060, 553}, {28175, 4427}, {34502, 8}, {42439, 86}, {48019, 65161}
X(72553) = barycentric quotient X(i)/X(j) for these (i, j): {3634, 1268}, {3723, 1255}, {4060, 4102}, {4980, 32018}, {28175, 4608}, {34502, 7}, {35327, 28176}, {42439, 10}, {48019, 47947}, {58179, 50344}, {72535, 1}, {72617, 37}
X(72553) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1125, 64946, 4974}, {6707, 17322, 1086}, {34595, 62648, 17303}

X(72554) = {X(2), X(88)}-CROSS-CONCEVIAN PERSPECTOR

X(72554) lies on circumconic {{A, B, C, X(16610), X(36805)}} and on these lines: {2, 646}, {10, 3756}, {120, 5121}, {1015, 58413}, {1086, 3452}, {1211, 17058}, {1266, 16594}, {2254, 14434}, {3662, 24183}, {3680, 13541}, {3752, 25097}, {3789, 62711}, {3960, 45675}, {4792, 45247}, {6376, 31233}, {6554, 72558}, {13466, 25125}, {17071, 66509}, {28352, 72582}, {31228, 40598}

X(72554) = complement of X(36805)
X(72554) = center of circumconic {{A, B, C, X(668), X(4373)}}
X(72554) = X(i)-Ceva conjugate of X(j) for these {i, j}: {668, 6085}, {4373, 3880}
X(72554) = X(i)-complementary conjugate of X(j) for these {i, j}: {32, 2325}, {101, 6085}, {604, 3880}, {649, 56893}, {1149, 141}, {1266, 626}, {1878, 20305}, {1919, 2087}, {3880, 21244}, {4695, 21245}, {6085, 116}, {8660, 1086}, {16610, 2887}, {17109, 3834}, {20972, 121}, {23205, 18589}, {23832, 3835}, {32739, 14425}, {52206, 21241}, {61186, 21262}, {69034, 21260}
X(72554) = pole of line {6018, 6085} with respect to the Steiner inellipse

X(72555) = {X(2), X(89)}-CROSS-CONCEVIAN PERSPECTOR

X(72555) lies on these lines: {2, 3264}, {10, 16610}, {37, 16594}, {120, 29639}, {899, 3789}, {1015, 58414}, {1193, 5289}, {1211, 3752}, {1465, 3665}, {1491, 14434}, {2183, 17595}, {3452, 3666}, {3663, 14554}, {4389, 4850}, {16603, 43048}, {17102, 21530}, {17238, 71608}, {21031, 37592}, {26772, 69538}, {27627, 72592}, {37596, 43055}, {60097, 70992}

X(72555) = center of circumconic {{A, B, C, X(668), X(50039)}}
X(72555) = X(i)-Dao conjugate of X(j) for these {i, j}: {30818, 2}
X(72555) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 30818}, {668, 9002}, {50039, 23888}
X(72555) = X(i)-complementary conjugate of X(j) for these {i, j}: {31, 30818}, {32, 17369}, {101, 9002}, {604, 3753}, {995, 141}, {3877, 21244}, {4247, 34830}, {4266, 1329}, {4389, 626}, {4424, 21245}, {4850, 2887}, {9002, 116}, {20973, 21251}, {23206, 18589}, {32719, 23888}, {32739, 47766}, {33934, 21235}, {48335, 21252}, {48350, 21253}, {50453, 53575}, {61187, 21262}, {71098, 121}
X(72555) = pole of line {9002, 48335} with respect to the Steiner inellipse
X(72555) = pole of line {3753, 30818} with respect to the dual conic of Yff parabola
X(72555) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4389), X(58027)}}, {{A, B, C, X(4850), X(30818)}}
X(72555) = barycentric product X(i)*X(j) for these (i, j): {30818, 4850}
X(72555) = barycentric quotient X(i)/X(j) for these (i, j): {4424, 56175}

X(72556) = {X(2), X(95)}-CROSS-CONCEVIAN PERSPECTOR

X(72556) lies on these lines: {2, 10979}, {6, 3411}, {53, 55859}, {140, 233}, {216, 632}, {577, 3525}, {1196, 3054}, {1249, 3533}, {3163, 10124}, {3284, 61858}, {5158, 45245}, {6709, 15526}, {8968, 32789}, {11614, 40939}, {14401, 35441}, {15037, 22268}, {15595, 34573}, {16239, 52945}, {16814, 40942}, {33630, 61865}, {33636, 61857}, {36748, 61850}, {36751, 55858}, {40179, 62992}, {42459, 61869}, {52704, 61853}, {55864, 61312}, {58454, 62595}, {61327, 61873}, {61856, 62213}, {61870, 62196}

X(72556) = complement of X(40410)
X(72556) = perspector of circumconic {{A, B, C, X(11703), X(20189)}}
X(72556) = X(i)-Dao conjugate of X(j) for these {i, j}: {3628, 2}, {46084, 31626}
X(72556) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 3628}
X(72556) = X(i)-complementary conjugate of X(j) for these {i, j}: {31, 3628}, {140, 2887}, {560, 5421}, {810, 35442}, {1232, 21235}, {2148, 6709}, {2190, 10184}, {6748, 20305}, {13366, 10}, {17168, 21240}, {17438, 141}, {20879, 626}, {21012, 21245}, {21103, 21252}, {22052, 18589}, {35311, 21259}, {35324, 4369}, {55280, 21253}, {62267, 46025}, {62268, 12242}
X(72556) = pole of line {39183, 55280} with respect to the polar circle
X(72556) = pole of line {3628, 10275} with respect to the Kiepert hyperbola
X(72556) = pole of line {22052, 31626} with respect to the Stammler hyperbola
X(72556) = pole of line {21103, 35441} with respect to the Steiner inellipse
X(72556) = pole of line {389, 548} with respect to the 1st Terzic hyperbola
X(72556) = pole of line {3628, 6709} with respect to the dual conic of Moses HK-parabola
X(72556) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(36422)}}, {{A, B, C, X(140), X(3628)}}, {{A, B, C, X(233), X(31610)}}, {{A, B, C, X(6748), X(39284)}}, {{A, B, C, X(15047), X(46084)}}, {{A, B, C, X(22052), X(31626)}}, {{A, B, C, X(22268), X(35887)}}
X(72556) = barycentric product X(i)*X(j) for these (i, j): {140, 3628}, {1232, 34565}
X(72556) = barycentric quotient X(i)/X(j) for these (i, j): {3628, 40410}, {13366, 34567}, {34565, 1173}
X(72556) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {140, 233, 36422}

X(72557) = {X(2), X(98)}-CROSS-CONCEVIAN PERSPECTOR

X(72557) lies on these lines: {2, 2987}, {3, 115}, {6, 6721}, {32, 36519}, {39, 31274}, {98, 5033}, {99, 2996}, {114, 230}, {187, 39838}, {543, 11147}, {620, 3767}, {641, 13989}, {642, 8997}, {1125, 21965}, {1194, 62589}, {1196, 52032}, {1569, 62367}, {1570, 44377}, {1637, 1649}, {1916, 62880}, {2023, 3054}, {2351, 14713}, {2482, 44401}, {2794, 39647}, {3053, 67862}, {3291, 34834}, {3815, 15850}, {5254, 38748}, {5309, 9167}, {5461, 23053}, {6292, 8361}, {6722, 7815}, {7735, 64089}, {7739, 22247}, {8859, 25486}, {9420, 62649}, {9675, 9757}, {9722, 39816}, {9742, 37689}, {11646, 35021}, {14061, 32974}, {14971, 15597}, {15300, 51589}, {15814, 22329}, {21843, 38747}, {28526, 51578}, {33233, 62348}, {33340, 33364}, {33341, 33365}, {33813, 43291}, {35374, 38227}, {37446, 60117}, {37667, 54103}, {37688, 51582}, {39809, 63534}, {43620, 67863}, {44381, 50567}, {51581, 62356}, {53103, 60189}, {54872, 60248}, {60104, 60218}

X(72557) = midpoint of X(i) and X(j) for these {i,j}: {99, 2996}, {13873, 13926}
X(72557) = reflection of X(i) in X(j) for these {i,j}: {115, 13881}, {6337, 620}
X(72557) = inverse of X(6036) in Kiepert hyperbola
X(72557) = inverse of X(60073) in Wallace hyperbola
X(72557) = complement of X(8781)
X(72557) = perspector of circumconic {{A, B, C, X(4226), X(44768)}}
X(72557) = center of circumconic {{A, B, C, X(99), X(2996)}}
X(72557) = X(i)-isoconjugate-of-X(j) for these {i, j}: {36051, 60073}
X(72557) = X(i)-Dao conjugate of X(j) for these {i, j}: {114, 60073}, {1570, 14253}, {44377, 2}, {55152, 66295}
X(72557) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 44377}, {99, 55122}, {2996, 3564}
X(72557) = X(i)-complementary conjugate of X(j) for these {i, j}: {31, 44377}, {163, 55122}, {230, 2887}, {460, 20305}, {560, 36212}, {798, 868}, {922, 47047}, {1692, 10}, {1733, 626}, {1973, 3564}, {4226, 42327}, {8772, 141}, {9406, 34810}, {9417, 52006}, {42663, 8287}, {44099, 226}, {51481, 21235}, {52144, 18589}, {52450, 21256}, {55122, 21253}, {61213, 4369}, {67168, 4138}, {70565, 21240}, {70566, 21260}, {71121, 21238}
X(72557) = pole of line {60073, 60338} with respect to the polar circle
X(72557) = pole of line {3564, 6036} with respect to the Kiepert hyperbola
X(72557) = pole of line {1692, 2987} with respect to the Stammler hyperbola
X(72557) = pole of line {5477, 42663} with respect to the Steiner inellipse
X(72557) = pole of line {230, 8781} with respect to the Wallace hyperbola
X(72557) = pole of line {53374, 66162} with respect to the dual conic of Wallace hyperbola
X(72557) = pole of line {44377, 46098} with respect to the dual conic of Moses HK-parabola
X(72557) = pole of line {115, 2971} with respect to the orthoptic circle of Kiepert hyperbola
X(72557) = center of circles {{ X(i), X(j), X(k) }} for these {i, j, k}: {99, 2996, 3565}
X(72557) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(14384)}}, {{A, B, C, X(98), X(10011)}}, {{A, B, C, X(114), X(7612)}}, {{A, B, C, X(115), X(36472)}}, {{A, B, C, X(230), X(8781)}}, {{A, B, C, X(1570), X(1692)}}, {{A, B, C, X(3564), X(57872)}}, {{A, B, C, X(10008), X(65726)}}, {{A, B, C, X(12829), X(50731)}}, {{A, B, C, X(55122), X(60073)}}
X(72557) = barycentric product X(i)*X(j) for these (i, j): {230, 44377}, {1570, 51481}
X(72557) = barycentric quotient X(i)/X(j) for these (i, j): {230, 60073}, {1570, 2987}, {44377, 8781}, {55122, 66295}, {63733, 35364}
X(72557) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {115, 7749, 38737}, {230, 10011, 1692}, {13873, 13926, 23698}, {13881, 23698, 115}, {37637, 44534, 6036}

X(72558) = {X(2), X(100)}-CROSS-CONCEVIAN PERSPECTOR

X(72558) lies on these lines: {2, 4554}, {9, 1054}, {10, 9367}, {11, 650}, {37, 24025}, {39, 46835}, {115, 123}, {124, 53823}, {220, 1574}, {244, 3119}, {281, 17053}, {291, 3041}, {647, 1109}, {649, 38389}, {661, 3937}, {899, 52888}, {946, 1939}, {982, 41796}, {1001, 6181}, {1015, 1146}, {1086, 13609}, {1111, 24775}, {1212, 31197}, {1376, 16283}, {1427, 20311}, {1438, 28083}, {1575, 40869}, {2092, 40942}, {2275, 23058}, {2481, 30610}, {2611, 68789}, {2649, 35016}, {3035, 6184}, {3120, 33573}, {3125, 34591}, {3239, 44311}, {3291, 71386}, {3315, 41798}, {3452, 53600}, {3752, 20310}, {3911, 68743}, {4394, 38390}, {4521, 21197}, {4858, 6377}, {4893, 20974}, {4957, 6586}, {5179, 62371}, {5272, 41795}, {5274, 65064}, {5432, 21795}, {5514, 15611}, {5542, 9444}, {5573, 19605}, {5574, 8056}, {5701, 6667}, {6174, 35310}, {6388, 16592}, {6554, 72554}, {6602, 9350}, {6603, 52959}, {7004, 36197}, {7079, 69221}, {7117, 21044}, {9356, 46684}, {9374, 12114}, {10164, 21856}, {11502, 14827}, {14714, 38388}, {16583, 46830}, {16604, 41006}, {17125, 32578}, {17448, 63595}, {17728, 23653}, {19546, 20605}, {23447, 34831}, {24484, 64489}, {25577, 29349}, {27009, 27115}, {28244, 59646}, {31209, 40619}, {34460, 65808}, {35128, 61073}, {35326, 45885}, {37774, 69016}, {38358, 53525}, {39014, 44567}, {40537, 44357}, {40937, 47231}, {43046, 61649}, {44312, 47778}, {44351, 62532}, {46148, 61672}, {46839, 72241}, {48026, 58893}, {52635, 69802}, {52969, 60782}, {63493, 63592}, {63499, 63593}, {63524, 63599}

X(72558) = complement of X(4554)
X(72558) = perspector of circumconic {{A, B, C, X(885), X(4449)}}
X(72558) = center of circumconic {{A, B, C, X(330), X(2481)}}
X(72558) = X(i)-isoconjugate-of-X(j) for these {i, j}: {59, 9311}, {109, 30610}, {1025, 65371}, {1262, 65952}, {1275, 9439}, {2149, 32023}, {4564, 9309}, {4998, 9315}
X(72558) = X(i)-Dao conjugate of X(j) for these {i, j}: {11, 30610}, {650, 32023}, {4147, 192}, {4885, 2}, {6615, 9311}, {21195, 3177}, {48315, 883}
X(72558) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 4885}, {330, 522}, {2481, 926}, {2995, 512}, {2996, 521}, {4373, 3900}, {6180, 4449}, {10405, 513}, {21139, 4014}, {26735, 6371}, {26736, 6085}, {40528, 2170}, {56264, 6182}, {56265, 514}, {65064, 650}
X(72558) = X(i)-complementary conjugate of X(j) for these {i, j}: {6, 17072}, {8, 21262}, {9, 21260}, {21, 42327}, {25, 46396}, {31, 4885}, {32, 522}, {41, 513}, {55, 3835}, {56, 46399}, {58, 17066}, {60, 52602}, {220, 59971}, {283, 52598}, {284, 512}, {314, 21263}, {333, 23301}, {512, 17052}, {513, 17046}, {514, 17047}, {522, 626}, {560, 905}, {604, 3900}, {607, 20316}, {649, 2886}, {650, 2887}, {652, 1368}, {657, 1329}, {663, 141}, {667, 142}, {669, 17056}, {692, 21232}, {798, 442}, {810, 18642}, {884, 20335}, {926, 20540}, {1015, 17059}, {1024, 20544}, {1036, 48044}, {1172, 21259}, {1253, 20317}, {1333, 69339}, {1334, 31946}, {1397, 7658}, {1416, 65846}, {1438, 926}, {1459, 18639}, {1501, 6589}, {1918, 1577}, {1919, 1}, {1922, 25380}, {1924, 2092}, {1946, 18589}, {1973, 521}, {1974, 14837}, {1977, 3756}, {1980, 3752}, {2053, 21191}, {2150, 52601}, {2170, 21252}, {2175, 514}, {2187, 20314}, {2194, 4369}, {2204, 8062}, {2206, 17069}, {2299, 30476}, {2316, 53571}, {2344, 788}, {3049, 18641}, {3063, 10}, {3064, 21243}, {3121, 8286}, {3248, 4904}, {3271, 116}, {3709, 3454}, {3733, 17050}, {3737, 21240}, {3900, 21244}, {3939, 27076}, {4041, 21245}, {4079, 34829}, {4083, 20547}, {4391, 21235}, {4435, 20542}, {4516, 21253}, {6066, 10196}, {6139, 31844}, {6187, 46397}, {7063, 6627}, {7077, 21261}, {7104, 3907}, {7252, 3741}, {7366, 17427}, {8638, 16593}, {8640, 20528}, {8641, 3452}, {9247, 59973}, {9315, 15280}, {9406, 57095}, {9407, 57228}, {9447, 650}, {9448, 6586}, {9454, 3126}, {14827, 4521}, {14936, 124}, {18265, 812}, {18344, 20305}, {20979, 20338}, {21044, 53575}, {21122, 17068}, {21789, 21246}, {22383, 34822}, {32739, 3035}, {35519, 40379}, {36417, 52587}, {41280, 52595}, {43924, 21258}, {46288, 4142}, {46388, 120}, {51641, 18635}, {51858, 3837}, {51951, 24675}, {52410, 52596}, {52425, 20315}, {53581, 71238}, {57129, 3742}, {57181, 11019}, {57241, 71187}, {57264, 4083}, {57657, 523}, {61050, 13609}, {63461, 1211}, {65102, 34823}, {66931, 24782}, {69476, 21256}, {70043, 31286}, {72623, 661}, {72633, 4129}
X(72558) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {42342, 33650}
X(72558) = X(i)-cross conjugate of X(j) for these {i, j}: {72539, 4014}
X(72558) = pole of line {17906, 30610} with respect to the polar circle
X(72558) = pole of line {926, 54255} with respect to the Feuerbach hyperbola
X(72558) = pole of line {521, 4885} with respect to the Kiepert hyperbola
X(72558) = pole of line {4124, 4939} with respect to the Mandart inellipse
X(72558) = pole of line {926, 2170} with respect to the Steiner inellipse
X(72558) = pole of line {3900, 4885} with respect to the dual conic of Yff parabola
X(72558) = pole of line {3721, 4415} with respect to the dual conic of Wallace hyperbola
X(72558) = pole of line {11, 241} with respect to the orthoptic circle of Feuerbach hyperbola
X(72558) = pole of line {115, 1865} with respect to the orthoptic circle of Kiepert hyperbola
X(72558) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2), X(14936)}}, {{A, B, C, X(11), X(1376)}}, {{A, B, C, X(100), X(10006)}}, {{A, B, C, X(650), X(4554)}}, {{A, B, C, X(693), X(15283)}}, {{A, B, C, X(926), X(30610)}}, {{A, B, C, X(4014), X(40451)}}, {{A, B, C, X(11124), X(55344)}}, {{A, B, C, X(16759), X(34018)}}, {{A, B, C, X(18031), X(21139)}}, {{A, B, C, X(23989), X(64445)}}, {{A, B, C, X(42342), X(42343)}}, {{A, B, C, X(46101), X(61415)}}, {{A, B, C, X(61413), X(65064)}}
X(72558) = barycentric product X(i)*X(j) for these (i, j): {11, 1376}, {75, 72539}, {1086, 4513}, {1146, 6180}, {2170, 3729}, {2310, 9312}, {4014, 8}, {4449, 522}, {4858, 9310}, {4885, 650}, {14936, 61413}, {16283, 23989}, {16759, 37}, {17218, 4041}, {18191, 3967}, {18199, 3700}, {20907, 663}, {20980, 4391}, {21052, 3737}, {21139, 9}, {22091, 44426}, {24026, 9316}, {27837, 4521}, {40528, 59507}, {42341, 885}, {53560, 56014}, {61415, 64445}, {67059, 68559}
X(72558) = barycentric quotient X(i)/X(j) for these (i, j): {11, 32023}, {650, 30610}, {884, 65371}, {885, 14727}, {1376, 4998}, {2170, 9311}, {2310, 65952}, {3271, 9309}, {3729, 67038}, {4014, 7}, {4449, 664}, {4513, 1016}, {4885, 4554}, {6180, 1275}, {9310, 4564}, {9316, 7045}, {16283, 1252}, {16759, 274}, {17218, 4625}, {18199, 4573}, {20907, 4572}, {20980, 651}, {21139, 85}, {22091, 6516}, {42341, 883}, {72539, 1}
X(72558) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {11, 650, 14936}, {244, 3119, 17435}, {7117, 21044, 53561}, {24025, 25069, 37}

X(72559) = {X(3), X(1)}-CROSS-CONCEVIAN PERSPECTOR

X(72559) lies on these lines: {1, 851}, {3, 49}, {21, 25897}, {24, 55303}, {28, 63291}, {36, 10974}, {48, 18591}, {51, 581}, {56, 40952}, {73, 228}, {125, 18641}, {182, 37301}, {187, 57657}, {199, 3430}, {214, 3454}, {386, 4191}, {389, 37115}, {407, 2646}, {429, 37837}, {440, 26006}, {442, 1385}, {500, 859}, {511, 4225}, {515, 3142}, {572, 37247}, {580, 13366}, {604, 2092}, {656, 68258}, {855, 48897}, {944, 37154}, {970, 16451}, {991, 28348}, {1125, 3136}, {1193, 40956}, {1201, 40984}, {1211, 59691}, {1319, 1834}, {1398, 44113}, {1442, 5929}, {1464, 64753}, {1475, 20970}, {1490, 37324}, {1495, 2360}, {1813, 17973}, {1884, 63386}, {1899, 37180}, {2203, 54371}, {2245, 5204}, {2475, 48894}, {2476, 6176}, {2594, 51377}, {2650, 72635}, {3185, 42448}, {3193, 46623}, {3207, 39690}, {3270, 40946}, {3576, 37225}, {3649, 42443}, {3682, 3690}, {3937, 4303}, {4189, 48929}, {4199, 19861}, {4204, 8583}, {4205, 17614}, {4210, 15489}, {4255, 44094}, {4288, 22133}, {4511, 10381}, {4652, 22068}, {5320, 54431}, {5396, 16453}, {5440, 41014}, {5453, 18180}, {5651, 11344}, {5752, 37058}, {6000, 7421}, {9306, 20846}, {9840, 61220}, {10470, 47521}, {10544, 64710}, {11381, 37195}, {13323, 37300}, {13737, 34417}, {13744, 48916}, {14547, 72604}, {16410, 22112}, {16948, 68736}, {18210, 18673}, {18635, 65416}, {19767, 37262}, {20470, 40954}, {20733, 60703}, {20749, 22373}, {21748, 72571}, {21842, 68946}, {22053, 22344}, {22054, 22073}, {22072, 22079}, {22094, 55351}, {22479, 44092}, {24928, 64167}, {26357, 44112}, {28238, 37732}, {28258, 54356}, {31880, 39793}, {32679, 52739}, {35979, 37527}, {36746, 52271}, {37080, 71311}, {37248, 37474}, {37282, 43650}, {48926, 57002}, {48927, 68691}, {52425, 68731}, {56414, 68733}

X(72559) = perspector of circumconic {{A, B, C, X(4558), X(52610)}}
X(72559) = X(i)-isoconjugate-of-X(j) for these {i, j}: {4, 40430}, {19, 60235}, {28, 65822}, {29, 17097}, {158, 57668}, {162, 56321}, {281, 63194}, {1096, 57833}, {1896, 40442}
X(72559) = X(i)-Dao conjugate of X(j) for these {i, j}: {6, 60235}, {125, 56321}, {1147, 57668}, {5745, 264}, {6503, 57833}, {17056, 44130}, {21044, 46110}, {36033, 40430}, {37836, 4}, {40591, 65822}, {59602, 44129}
X(72559) = X(i)-Ceva conjugate of X(j) for these {i, j}: {3, 22361}, {1813, 647}, {2646, 2650}, {17056, 72571}
X(72559) = pole of line {56321, 66299} with respect to the polar circle
X(72559) = pole of line {3, 73} with respect to the Jerabek hyperbola
X(72559) = pole of line {4, 25446} with respect to the Stammler hyperbola
X(72559) = pole of line {264, 57527} with respect to the Wallace hyperbola
X(72559) = pole of line {850, 17161} with respect to the dual conic of polar circle
X(72559) = pole of line {2970, 21666} with respect to the dual conic of Wallace hyperbola
X(72559) = pole of line {343, 4001} with respect to the dual conic of Moses HK-parabola
X(72559) = pole of line {125, 20620} with respect to the orthoptic circle of Jerabek hyperbola
X(72559) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3), X(407)}}, {{A, B, C, X(73), X(283)}}, {{A, B, C, X(228), X(72635)}}, {{A, B, C, X(394), X(17056)}}, {{A, B, C, X(647), X(40442)}}, {{A, B, C, X(1410), X(1437)}}, {{A, B, C, X(1790), X(52373)}}, {{A, B, C, X(1819), X(21811)}}, {{A, B, C, X(2197), X(21674)}}, {{A, B, C, X(2646), X(22341)}}, {{A, B, C, X(17136), X(68647)}}, {{A, B, C, X(37142), X(58889)}}
X(72559) = barycentric product X(i)*X(j) for these (i, j): {1, 72648}, {69, 72571}, {75, 72629}, {304, 72607}, {306, 72644}, {345, 72638}, {348, 72635}, {394, 407}, {525, 53324}, {1214, 2646}, {1331, 23755}, {1437, 42708}, {1459, 22003}, {1790, 21674}, {1813, 62566}, {2650, 63}, {3664, 71}, {3998, 40985}, {5745, 73}, {17056, 3}, {17136, 647}, {18698, 48}, {21677, 222}, {21748, 307}, {21811, 77}, {22361, 226}, {40152, 40950}, {51664, 53388}, {52373, 6737}
X(72559) = barycentric quotient X(i)/X(j) for these (i, j): {3, 60235}, {48, 40430}, {71, 65822}, {394, 57833}, {407, 2052}, {577, 57668}, {603, 63194}, {647, 56321}, {1409, 17097}, {2646, 31623}, {2650, 92}, {3664, 44129}, {5745, 44130}, {17056, 264}, {17136, 6331}, {18698, 1969}, {21677, 7017}, {21748, 29}, {21811, 318}, {22361, 333}, {23755, 46107}, {53324, 648}, {62566, 46110}, {72571, 4}, {72607, 19}, {72629, 1}, {72635, 281}, {72638, 278}, {72644, 27}, {72648, 75}
X(72559) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 851, 58889}, {3, 22076, 22080}, {48, 18591, 44093}, {56, 52544, 40952}, {73, 22341, 1425}, {580, 54349, 13366}, {581, 13738, 51}, {2360, 3145, 1495}, {4303, 22345, 3937}, {28258, 54356, 61643}, {72635, 72638, 2650}

X(72560) = {X(3), X(101)}-CROSS-CONCEVIAN PERSPECTOR

X(72560) lies on circumconic {{A, B, C, X(3207), X(35072)}} and on these lines: {3, 7215}, {212, 22055}, {650, 38388}, {1253, 72647}, {2637, 2638}, {14714, 14936}, {20749, 22072}, {22082, 71190}, {35072, 57108}, {37754, 42658}, {47411, 47422}

X(72560) = X(i)-isoconjugate-of-X(j) for these {i, j}: {108, 53640}, {653, 61240}, {3062, 55346}, {7012, 36620}, {7128, 10405}, {18026, 53622}, {46102, 64980}
X(72560) = X(i)-Dao conjugate of X(j) for these {i, j}: {656, 44186}, {4130, 7017}, {7658, 264}, {38983, 53640}
X(72560) = X(i)-Ceva conjugate of X(j) for these {i, j}: {222, 65102}
X(72560) = barycentric product X(i)*X(j) for these (i, j): {144, 3270}, {165, 34591}, {647, 65674}, {1146, 22117}, {1459, 57064}, {2968, 3207}, {3022, 50559}, {13609, 3}, {23090, 55285}, {35072, 63965}, {57108, 7658}, {58835, 905}, {64083, 7117}, {65752, 9533}
X(72560) = barycentric quotient X(i)/X(j) for these (i, j): {652, 53640}, {1946, 61240}, {3207, 55346}, {3270, 10405}, {3937, 60831}, {7117, 36620}, {13609, 264}, {22096, 61380}, {22117, 1275}, {23090, 55284}, {34591, 44186}, {58835, 6335}, {63965, 57538}, {65674, 6331}
X(72560) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2638, 47432, 3270}, {35072, 57108, 65752}

X(72561) = {X(4), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72561) lies on these lines: {4, 6752}, {6, 60670}, {51, 53}, {130, 133}, {235, 1843}, {1298, 39286}, {6530, 6750}, {6748, 34980}, {8797, 54032}, {9969, 24862}, {9971, 63552}, {15526, 45873}, {21638, 35884}, {41762, 62546}, {42556, 72540}, {52967, 62260}

X(72561) = midpoint of X(i) and X(j) for these {i,j}: {4, 9792}
X(72561) = perspector of circumconic {{A, B, C, X(42401), X(61193)}}
X(72561) = X(i)-Dao conjugate of X(j) for these {i, j}: {14767, 69}, {71254, 1078}, {72540, 34384}
X(72561) = X(i)-Ceva conjugate of X(j) for these {i, j}: {4, 42400}, {11197, 72540}, {15352, 42293}
X(72561) = pole of line {58305, 62428} with respect to the polar circle
X(72561) = pole of line {6748, 11245} with respect to the Jerabek hyperbola
X(72561) = pole of line {14773, 42400} with respect to the Kiepert hyperbola
X(72561) = pole of line {15451, 42293} with respect to the Orthic inconic
X(72561) = intersection, other than A, B, C, of circumconics {{A, B, C, X(51), X(8795)}}, {{A, B, C, X(53), X(60670)}}, {{A, B, C, X(3613), X(62260)}}, {{A, B, C, X(11197), X(14569)}}
X(72561) = barycentric product X(i)*X(j) for these (i, j): {4, 72540}, {53, 71254}, {216, 42400}, {217, 42368}, {2052, 42556}, {11197, 6}, {14767, 51}
X(72561) = barycentric quotient X(i)/X(j) for these (i, j): {11197, 76}, {14767, 34384}, {42368, 57790}, {42400, 276}, {42556, 394}, {71254, 34386}, {72540, 69}
X(72561) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {53, 15649, 51}

X(72562) = {X(4), X(19)}-CROSS-CONCEVIAN PERSPECTOR

X(72562) lies on these lines: {4, 69}, {19, 862}, {25, 1030}, {119, 5139}, {210, 430}, {407, 1827}, {424, 53486}, {429, 1861}, {851, 9817}, {1172, 44102}, {1837, 40954}, {1839, 42067}, {1865, 2870}, {2393, 53421}, {3706, 53478}, {4111, 52579}, {16589, 22369}, {18591, 46536}, {21699, 72589}, {37456, 51412}, {40952, 53417}, {44670, 50036}

X(72562) = X(i)-isoconjugate-of-X(j) for these {i, j}: {3, 40439}, {63, 40408}, {71, 59147}, {1444, 40433}, {1790, 32009}, {4558, 72049}, {4592, 50520}, {8708, 69828}, {17206, 57397}
X(72562) = X(i)-Dao conjugate of X(j) for these {i, j}: {3121, 905}, {3162, 40408}, {3739, 69}, {5139, 50520}, {36103, 40439}, {62646, 17206}
X(72562) = X(i)-Ceva conjugate of X(j) for these {i, j}: {6335, 2489}
X(72562) = X(i)-cross conjugate of X(j) for these {i, j}: {21753, 16589}
X(72562) = pole of line {512, 7192} with respect to the polar circle
X(72562) = pole of line {41011, 71286} with respect to the Feuerbach hyperbola
X(72562) = pole of line {1836, 1899} with respect to the Jerabek hyperbola
X(72562) = pole of line {3914, 5254} with respect to the Kiepert hyperbola
X(72562) = pole of line {2489, 3709} with respect to the Orthic inconic
X(72562) = pole of line {1565, 20975} with respect to the dual conic of Wallace hyperbola
X(72562) = intersection, other than A, B, C, of circumconics {{A, B, C, X(69), X(3690)}}, {{A, B, C, X(76), X(594)}}, {{A, B, C, X(210), X(314)}}, {{A, B, C, X(264), X(7140)}}, {{A, B, C, X(286), X(1824)}}, {{A, B, C, X(1826), X(40975)}}, {{A, B, C, X(3260), X(50538)}}, {{A, B, C, X(17139), X(50497)}}, {{A, B, C, X(21020), X(44154)}}, {{A, B, C, X(21820), X(44140)}}, {{A, B, C, X(22276), X(72265)}}, {{A, B, C, X(44130), X(53008)}}, {{A, B, C, X(51978), X(72636)}}, {{A, B, C, X(53363), X(53367)}}
X(72562) = barycentric product X(i)*X(j) for these (i, j): {10, 40975}, {19, 21020}, {25, 53478}, {28, 52579}, {158, 72649}, {225, 3691}, {273, 72589}, {278, 4111}, {281, 39793}, {318, 72642}, {331, 72636}, {1783, 48393}, {1824, 3739}, {1826, 3720}, {1880, 3706}, {1969, 72608}, {2052, 22369}, {2489, 53363}, {2501, 4436}, {2667, 92}, {16589, 4}, {18166, 7140}, {20888, 2333}, {20963, 41013}, {21699, 27}, {21753, 264}, {21820, 286}, {24006, 70144}, {50497, 6335}, {50538, 648}, {61163, 7649}
X(72562) = barycentric quotient X(i)/X(j) for these (i, j): {19, 40439}, {25, 40408}, {28, 59147}, {1824, 32009}, {2333, 40433}, {2489, 50520}, {2667, 63}, {3691, 332}, {3720, 17206}, {4111, 345}, {4436, 4563}, {6372, 15419}, {16589, 69}, {20963, 1444}, {21020, 304}, {21699, 306}, {21753, 3}, {21820, 72}, {22369, 394}, {39793, 348}, {40975, 86}, {47672, 69830}, {48393, 15413}, {50497, 905}, {50538, 525}, {52579, 20336}, {53363, 52608}, {53478, 305}, {61163, 4561}, {68881, 69828}, {70144, 4592}, {70145, 55202}, {72265, 1790}, {72267, 1437}, {72589, 78}, {72608, 48}, {72636, 219}, {72642, 77}, {72649, 326}
X(72562) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {19, 862, 72599}, {430, 1824, 44092}

X(72563) = {X(4), X(25)}-CROSS-CONCEVIAN PERSPECTOR

X(72563) lies on these lines: {4, 18022}, {25, 10329}, {51, 5254}, {141, 427}, {297, 58500}, {428, 42068}, {1899, 6752}, {1974, 58761}, {6291, 13052}, {6406, 13051}, {8878, 64879}, {10551, 29012}, {11550, 40951}, {23210, 70254}, {27369, 34452}, {41911, 64820}, {42394, 70261}, {52285, 52460}

X(72563) = X(i)-isoconjugate-of-X(j) for these {i, j}: {48, 31622}, {63, 72445}, {34055, 39968}
X(72563) = X(i)-Dao conjugate of X(j) for these {i, j}: {1249, 31622}, {3162, 72445}, {3934, 69}, {40938, 31630}
X(72563) = X(i)-cross conjugate of X(j) for these {i, j}: {42548, 70254}
X(72563) = pole of line {688, 58784} with respect to the polar circle
X(72563) = pole of line {7745, 26926} with respect to the Jerabek hyperbola
X(72563) = pole of line {1176, 60702} with respect to the Stammler hyperbola
X(72563) = pole of line {1799, 20775} with respect to the Wallace hyperbola
X(72563) = intersection, other than A, B, C, of circumconics {{A, B, C, X(141), X(20965)}}, {{A, B, C, X(427), X(42394)}}, {{A, B, C, X(1843), X(46104)}}, {{A, B, C, X(3917), X(23210)}}, {{A, B, C, X(3934), X(8891)}}, {{A, B, C, X(4074), X(70232)}}
X(72563) = barycentric product X(i)*X(j) for these (i, j): {4, 70254}, {264, 42548}, {1843, 3934}, {2052, 23210}, {3051, 42394}, {16747, 70353}, {17171, 70354}, {17442, 17445}, {20883, 70346}, {20965, 427}, {22062, 27376}, {27369, 70261}, {32085, 59167}, {72529, 92}
X(72563) = barycentric quotient X(i)/X(j) for these (i, j): {4, 31622}, {25, 72445}, {427, 31630}, {1843, 39968}, {20965, 1799}, {23210, 394}, {27369, 42346}, {35325, 58118}, {42394, 40016}, {42548, 3}, {59167, 3933}, {70254, 69}, {70346, 34055}, {72529, 63}

X(72564) = {X(4), X(28)}-CROSS-CONCEVIAN PERSPECTOR

X(72564) lies on these lines: {4, 7017}, {45, 44103}, {51, 1837}, {429, 960}, {1824, 1831}, {1826, 1828}, {1843, 5130}, {1900, 5151}, {3192, 11396}, {4185, 19731}, {53417, 58889}

X(72564) = X(i)-Dao conjugate of X(j) for these {i, j}: {44417, 69}
X(72564) = X(i)-cross conjugate of X(j) for these {i, j}: {72652, 72532}
X(72564) = pole of line {4581, 6371} with respect to the polar circle
X(72564) = pole of line {50330, 52326} with respect to the Orthic inconic
X(72564) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1211), X(60264)}}, {{A, B, C, X(10475), X(41600)}}
X(72564) = barycentric product X(i)*X(j) for these (i, j): {4, 72550}, {27, 72592}, {278, 72584}, {1829, 44417}, {10459, 1848}, {31623, 72652}, {72532, 92}
X(72564) = barycentric quotient X(i)/X(j) for these (i, j): {72532, 63}, {72550, 69}, {72584, 345}, {72592, 306}, {72652, 1214}
X(72564) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1829, 46878, 44092}

X(72565) = {X(4), X(69)}-CROSS-CONCEVIAN PERSPECTOR

X(72565) lies on circumconic {{A, B, C, X(1899), X(57684)}} and on these lines: {4, 57684}, {53, 11550}, {125, 157}, {133, 18390}, {184, 23333}, {235, 1503}, {924, 63531}, {1899, 6751}, {6750, 18381}, {21659, 63419}

X(72565) = pole of line {1968, 22391} with respect to the Kiepert hyperbola
X(72565) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1899, 41761, 6751}

X(72566) = {X(4), X(76)}-CROSS-CONCEVIAN PERSPECTOR

X(72566) lies on circumconic {{A, B, C, X(6467), X(57388)}} and on these lines: {4, 57388}, {6, 66590}, {20, 9752}, {25, 44518}, {115, 11326}, {132, 1885}, {3767, 40319}, {5254, 6467}, {23099, 58346}, {38734, 44802}, {39568, 52014}

X(72566) = X(i)-Dao conjugate of X(j) for these {i, j}: {6677, 69}
X(72566) = barycentric product X(i)*X(j) for these (i, j): {5254, 6677}
X(72566) = barycentric quotient X(i)/X(j) for these (i, j): {6677, 40405}

X(72567) = {X(4), X(93)}-CROSS-CONCEVIAN PERSPECTOR

X(72567) lies on these lines: {4, 569}, {5, 1843}, {6, 18381}, {24, 40913}, {25, 2918}, {51, 20303}, {52, 427}, {68, 193}, {113, 23047}, {125, 973}, {155, 7507}, {185, 1595}, {235, 64851}, {403, 11817}, {546, 22970}, {1209, 1216}, {1593, 40909}, {1597, 5895}, {1598, 19130}, {1885, 46027}, {1986, 11806}, {2904, 11536}, {3088, 7689}, {3541, 37478}, {3574, 6146}, {3575, 37513}, {4994, 41271}, {5095, 13292}, {5448, 32605}, {5888, 6143}, {6145, 12234}, {6756, 37649}, {7378, 11457}, {8754, 35719}, {9827, 37938}, {10110, 40949}, {13202, 13488}, {14790, 19131}, {15110, 38397}, {15606, 59778}, {16198, 36153}, {18388, 19347}, {18488, 67923}, {18494, 37476}, {23105, 62172}, {34507, 67878}

X(72567) = inverse of X(973) in Jerabek hyperbola
X(72567) = X(i)-Dao conjugate of X(j) for these {i, j}: {37649, 69}
X(72567) = X(i)-Ceva conjugate of X(j) for these {i, j}: {4, 6756}
X(72567) = pole of line {973, 6756} with respect to the Jerabek hyperbola
X(72567) = pole of line {1216, 40441} with respect to the Stammler hyperbola
X(72567) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1179), X(1594)}}, {{A, B, C, X(1209), X(10550)}}, {{A, B, C, X(1216), X(40441)}}, {{A, B, C, X(37636), X(37649)}}
X(72567) = barycentric product X(i)*X(j) for these (i, j): {1594, 37649}, {37636, 6756}
X(72567) = barycentric quotient X(i)/X(j) for these (i, j): {6756, 40393}
X(72567) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1594, 47328, 1209}

X(72568) = {X(4), X(98)}-CROSS-CONCEVIAN PERSPECTOR

X(72568) lies on these lines: {4, 1562}, {25, 125}, {98, 3424}, {107, 459}, {132, 1503}, {185, 27373}, {690, 13202}, {1146, 1842}, {1297, 12037}, {1899, 6525}, {2353, 61139}, {2777, 10735}, {2794, 43279}, {3146, 70036}, {6000, 20410}, {11381, 40325}, {16240, 57424}, {18337, 44988}, {31383, 47200}, {34841, 67222}, {39071, 42671}, {39874, 45864}, {43389, 64509}, {63465, 67863}

X(72568) = midpoint of X(i) and X(j) for these {i,j}: {18337, 44988}
X(72568) = reflection of X(i) in X(j) for these {i,j}: {1562, 4}, {8779, 1529}, {65749, 132}
X(72568) = perspector of circumconic {{A, B, C, X(2409), X(44334)}}
X(72568) = X(i)-Dao conjugate of X(j) for these {i, j}: {44334, 69}
X(72568) = X(i)-Ceva conjugate of X(j) for these {i, j}: {107, 68791}, {459, 16318}
X(72568) = pole of line {14944, 39473} with respect to the polar circle
X(72568) = pole of line {34146, 34854} with respect to the Jerabek hyperbola
X(72568) = pole of line {6793, 9475} with respect to the Orthic inconic
X(72568) = pole of line {53383, 57606} with respect to the dual conic of Wallace hyperbola
X(72568) = pole of line {125, 339} with respect to the orthoptic circle of Jerabek hyperbola
X(72568) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(56794)}}, {{A, B, C, X(98), X(1529)}}, {{A, B, C, X(125), X(33504)}}, {{A, B, C, X(132), X(3424)}}, {{A, B, C, X(6529), X(15639)}}, {{A, B, C, X(8779), X(43717)}}
X(72568) = barycentric product X(i)*X(j) for these (i, j): {1503, 44334}
X(72568) = barycentric quotient X(i)/X(j) for these (i, j): {44334, 35140}
X(72568) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {132, 1503, 65749}, {132, 65749, 6793}, {1503, 1529, 8779}

X(72569) = {X(5), X(53)}-CROSS-CONCEVIAN PERSPECTOR

X(72569) lies on these lines: {2, 20819}, {3, 64023}, {5, 311}, {6, 157}, {39, 1843}, {51, 216}, {53, 66919}, {69, 3095}, {160, 9971}, {217, 6751}, {237, 570}, {262, 264}, {338, 3613}, {427, 41375}, {511, 22062}, {523, 45108}, {571, 37457}, {1176, 6660}, {1232, 32515}, {1316, 53485}, {1634, 41579}, {1916, 52637}, {2393, 5421}, {2548, 41762}, {2934, 66915}, {2971, 5475}, {2972, 61743}, {3001, 3589}, {3003, 58471}, {3124, 8265}, {3260, 59566}, {3269, 6752}, {3313, 14096}, {3618, 50666}, {3964, 10983}, {4336, 42771}, {5065, 8541}, {5157, 46546}, {5476, 50676}, {5943, 22087}, {6287, 46448}, {6389, 13409}, {6638, 40681}, {7736, 56920}, {7772, 72651}, {8041, 70254}, {8362, 22424}, {8573, 9777}, {9019, 41328}, {9155, 16776}, {9407, 21637}, {9605, 19459}, {9822, 36212}, {9973, 66886}, {11188, 20794}, {11402, 33582}, {11424, 72115}, {12110, 46724}, {13341, 40673}, {13364, 63463}, {14570, 17500}, {14639, 54105}, {14853, 30258}, {15109, 39231}, {15561, 45799}, {18575, 45090}, {19161, 54003}, {20859, 33728}, {23646, 52020}, {30435, 44200}, {31390, 41331}, {32191, 68741}, {32444, 67922}, {34845, 66459}, {34990, 35222}, {36412, 41221}, {37242, 44128}, {37335, 63063}, {37988, 41760}, {41335, 56918}, {42353, 42441}, {52967, 62260}, {59995, 69961}

X(72569) = reflection of X(i) in X(j) for these {i,j}: {71255, 5421}
X(72569) = isogonal conjugate of X(39287)
X(72569) = isotomic conjugate of X(41488)
X(72569) = perspector of circumconic {{A, B, C, X(1625), X(2715)}}
X(72569) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 39287}, {31, 41488}, {54, 3112}, {82, 95}, {83, 2167}, {251, 62276}, {275, 34055}, {308, 2148}, {662, 39182}, {1176, 40440}, {1799, 2190}, {2169, 46104}, {2616, 4577}, {2623, 4593}, {4580, 65221}, {4599, 15412}, {18070, 18315}, {18833, 54034}, {32085, 62277}, {34384, 46289}, {36134, 52618}, {39283, 52134}, {40016, 62269}, {52376, 56246}, {52394, 56254}, {62267, 68630}
X(72569) = X(i)-Dao conjugate of X(j) for these {i, j}: {2, 41488}, {3, 39287}, {5, 1799}, {39, 34384}, {130, 58353}, {137, 52618}, {141, 95}, {216, 308}, {1084, 39182}, {3124, 15412}, {14363, 46104}, {15450, 4580}, {34452, 54}, {40585, 62276}, {40588, 83}, {40938, 276}, {52042, 16030}, {52878, 51862}, {55050, 2623}, {63463, 58784}, {63736, 5976}, {71199, 1078}
X(72569) = X(i)-Ceva conjugate of X(j) for these {i, j}: {5, 71199}, {51, 27374}, {427, 27371}, {14570, 55219}, {36897, 60517}, {53701, 3569}, {61194, 15451}
X(72569) = pole of line {9420, 52618} with respect to the polar circle
X(72569) = pole of line {826, 3569} with respect to the Brocard inellipse
X(72569) = pole of line {2450, 14770} with respect to the Kiepert hyperbola
X(72569) = pole of line {95, 325} with respect to the Stammler hyperbola
X(72569) = pole of line {54, 34384} with respect to the Wallace hyperbola
X(72569) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5), X(14601)}}, {{A, B, C, X(39), X(216)}}, {{A, B, C, X(51), X(311)}}, {{A, B, C, X(53), X(141)}}, {{A, B, C, X(217), X(23208)}}, {{A, B, C, X(262), X(14575)}}, {{A, B, C, X(264), X(34396)}}, {{A, B, C, X(418), X(427)}}, {{A, B, C, X(1273), X(3005)}}, {{A, B, C, X(1576), X(45108)}}, {{A, B, C, X(3051), X(39113)}}, {{A, B, C, X(3613), X(52967)}}, {{A, B, C, X(3917), X(26907)}}, {{A, B, C, X(16030), X(32078)}}, {{A, B, C, X(17500), X(55219)}}, {{A, B, C, X(27370), X(62260)}}, {{A, B, C, X(30499), X(39569)}}, {{A, B, C, X(41169), X(41331)}}, {{A, B, C, X(46154), X(59142)}}, {{A, B, C, X(56978), X(60517)}}
X(72569) = barycentric product X(i)*X(j) for these (i, j): {6, 71199}, {39, 5}, {141, 51}, {216, 427}, {1235, 217}, {1393, 33299}, {1625, 826}, {1843, 343}, {1923, 62272}, {1930, 2179}, {1953, 38}, {2081, 46155}, {2525, 52604}, {2617, 8061}, {3051, 311}, {3199, 3933}, {3917, 53}, {4576, 55219}, {5891, 69469}, {12077, 1634}, {14096, 66919}, {14213, 1964}, {14570, 3005}, {15451, 41676}, {15523, 72603}, {16030, 36412}, {16696, 21807}, {16747, 72618}, {17167, 21035}, {17187, 21011}, {17434, 46151}, {17442, 44706}, {17500, 8041}, {18180, 3954}, {20775, 324}, {20883, 62266}, {21016, 44709}, {21102, 46148}, {23181, 68790}, {23208, 60515}, {23285, 61194}, {27364, 3787}, {27366, 41480}, {27369, 28706}, {27370, 36952}, {27371, 3}, {27374, 76}, {27376, 5562}, {35319, 523}, {35325, 6368}, {35362, 3569}, {40938, 41168}, {40981, 8024}, {41331, 62278}, {41586, 46154}, {46147, 52945}, {46164, 51363}, {51869, 60524}, {56978, 63736}, {62273, 72630}, {62274, 68651}
X(72569) = barycentric quotient X(i)/X(j) for these (i, j): {2, 41488}, {5, 308}, {6, 39287}, {38, 62276}, {39, 95}, {51, 83}, {53, 46104}, {141, 34384}, {216, 1799}, {217, 1176}, {263, 39283}, {311, 40016}, {324, 68630}, {418, 28724}, {427, 276}, {512, 39182}, {688, 2623}, {1235, 57790}, {1625, 4577}, {1843, 275}, {1923, 2148}, {1953, 3112}, {1964, 2167}, {2084, 2616}, {2179, 82}, {2617, 4593}, {3005, 15412}, {3051, 54}, {3199, 32085}, {3917, 34386}, {3954, 56189}, {4020, 62277}, {4576, 55218}, {12077, 52618}, {14213, 18833}, {14570, 689}, {15451, 4580}, {17442, 40440}, {20021, 70898}, {20775, 97}, {21011, 56251}, {21035, 56246}, {21807, 56186}, {21814, 56254}, {27367, 70880}, {27369, 8882}, {27370, 36794}, {27371, 264}, {27372, 40404}, {27374, 6}, {27376, 8795}, {35319, 99}, {35325, 18831}, {35362, 43187}, {40972, 44687}, {40981, 251}, {41331, 54034}, {41334, 41296}, {42293, 58353}, {46151, 42405}, {51434, 70899}, {52604, 42396}, {52967, 51862}, {55219, 58784}, {59142, 39289}, {59994, 16030}, {61194, 827}, {61218, 933}, {62260, 17500}, {62266, 34055}, {63736, 56979}, {68651, 14533}, {71199, 76}, {72603, 52394}, {72605, 52376}, {72613, 56245}, {72630, 2169}
X(72569) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 50645, 20819}, {5, 41169, 44716}, {6, 157, 34396}, {6, 23635, 20975}, {6, 3148, 14575}, {39, 1843, 20775}, {51, 216, 40981}, {570, 9969, 237}, {3313, 14096, 22078}, {9971, 13351, 160}, {34990, 58532, 35222}

X(72570) = {X(6), X(4)}-CROSS-CONCEVIAN PERSPECTOR

X(72570) lies on these lines: {4, 60670}, {6, 24}, {32, 8565}, {39, 72597}, {51, 217}, {52, 59208}, {112, 1173}, {143, 41334}, {232, 65093}, {389, 3269}, {568, 22416}, {1075, 3087}, {1154, 71264}, {1199, 1971}, {1493, 35324}, {1625, 10095}, {1640, 12073}, {1692, 31390}, {2211, 58471}, {2548, 13410}, {3172, 9777}, {3289, 5462}, {3331, 10110}, {5007, 9475}, {6748, 44732}, {9408, 44107}, {9419, 58486}, {9781, 32445}, {10263, 50678}, {10985, 64026}, {11432, 39643}, {12006, 68737}, {13434, 54082}, {14627, 32661}, {14978, 35318}, {15024, 40805}, {15450, 64599}, {16226, 22401}, {16881, 68740}, {31388, 72540}, {31989, 58538}, {39835, 42442}

X(72570) = isogonal conjugate of X(31617)
X(72570) = perspector of circumconic {{A, B, C, X(933), X(32737)}}
X(72570) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 31617}, {63, 39286}, {75, 288}, {811, 39181}, {1173, 62276}, {1969, 20574}, {2167, 40410}, {2616, 55279}, {14213, 59143}, {31626, 40440}, {39284, 62277}, {62724, 65221}
X(72570) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 31617}, {140, 76}, {206, 288}, {233, 34384}, {1493, 34386}, {3162, 39286}, {15450, 62724}, {17423, 39181}, {33549, 276}, {35442, 3267}, {40588, 40410}, {63463, 39183}
X(72570) = X(i)-Ceva conjugate of X(j) for these {i, j}: {6, 13366}, {112, 15451}, {233, 32078}, {6748, 53386}
X(72570) = pole of line {15451, 42293} with respect to the Brocard inellipse
X(72570) = pole of line {13366, 71203} with respect to the Jerabek hyperbola
X(72570) = pole of line {1510, 35727} with respect to the Orthic inconic
X(72570) = pole of line {288, 343} with respect to the Stammler hyperbola
X(72570) = pole of line {28706, 31617} with respect to the Wallace hyperbola
X(72570) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4), X(59241)}}, {{A, B, C, X(6), X(62260)}}, {{A, B, C, X(24), X(3078)}}, {{A, B, C, X(51), X(54)}}, {{A, B, C, X(217), X(6748)}}, {{A, B, C, X(233), X(3199)}}, {{A, B, C, X(1173), X(15451)}}, {{A, B, C, X(3567), X(61378)}}, {{A, B, C, X(6403), X(59164)}}, {{A, B, C, X(14978), X(19189)}}, {{A, B, C, X(40633), X(46680)}}, {{A, B, C, X(61346), X(62271)}}
X(72570) = barycentric product X(i)*X(j) for these (i, j): {3, 53386}, {32, 57811}, {112, 35441}, {140, 51}, {216, 6748}, {217, 40684}, {233, 6}, {418, 44732}, {1232, 40981}, {1625, 55280}, {3078, 54}, {3199, 64062}, {11402, 31505}, {12077, 35324}, {13366, 5}, {13450, 61355}, {14978, 184}, {15451, 35311}, {17434, 61217}, {17438, 1953}, {20879, 2179}, {21012, 72603}, {22052, 53}, {32078, 4}, {35318, 647}, {36422, 59142}, {54034, 59164}, {59183, 62260}, {65785, 933}
X(72570) = barycentric quotient X(i)/X(j) for these (i, j): {6, 31617}, {25, 39286}, {32, 288}, {51, 40410}, {140, 34384}, {217, 31626}, {233, 76}, {1625, 55279}, {3049, 39181}, {3078, 311}, {3199, 39284}, {6748, 276}, {13366, 95}, {14575, 20574}, {14978, 18022}, {15451, 62724}, {17438, 62276}, {22052, 34386}, {32078, 69}, {35318, 6331}, {35441, 3267}, {40684, 57790}, {40981, 1173}, {44732, 57844}, {52604, 33513}, {53386, 264}, {54034, 59143}, {55219, 39183}, {57811, 1502}, {59164, 62278}, {61217, 42405}, {61346, 33631}, {62260, 31610}, {65485, 39180}
X(72570) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 3567, 71202}, {51, 217, 62260}, {1199, 1971, 71203}

X(72571) = {X(6), X(19)}-CROSS-CONCEVIAN PERSPECTOR

X(72571) lies on these lines: {3, 6}, {9, 1046}, {10, 38409}, {19, 69234}, {31, 21746}, {37, 758}, {42, 22080}, {44, 1213}, {71, 1500}, {109, 17963}, {115, 117}, {171, 64007}, {213, 1042}, {219, 2242}, {256, 40749}, {387, 48918}, {391, 20077}, {394, 967}, {442, 50307}, {478, 39690}, {512, 18000}, {516, 1834}, {527, 53476}, {540, 17330}, {595, 39543}, {672, 2670}, {798, 6363}, {966, 1330}, {1015, 2260}, {1100, 63292}, {1195, 14936}, {1211, 4416}, {1395, 44092}, {1405, 2199}, {1431, 2279}, {1444, 63385}, {1449, 5429}, {1468, 22076}, {1475, 20228}, {1572, 2257}, {1707, 4199}, {1723, 54382}, {1743, 2238}, {1918, 52020}, {2175, 44112}, {2178, 68669}, {2241, 54358}, {2268, 69231}, {2269, 10544}, {2287, 5277}, {2295, 21061}, {2308, 20966}, {2347, 20229}, {2392, 67501}, {2549, 57286}, {2610, 22086}, {2624, 3310}, {2650, 21811}, {2667, 72634}, {3122, 72606}, {3124, 59798}, {3125, 40977}, {3136, 41011}, {3199, 69813}, {3271, 40954}, {3550, 50584}, {3664, 5745}, {3686, 38456}, {3725, 72639}, {3747, 4890}, {3758, 27042}, {3767, 5746}, {3794, 63066}, {3936, 17364}, {3948, 17350}, {3958, 21810}, {3973, 46196}, {5257, 56949}, {5292, 48902}, {5747, 7746}, {5749, 52538}, {5802, 7737}, {5816, 37823}, {6693, 17398}, {9650, 26063}, {10443, 54160}, {10446, 37642}, {15988, 56834}, {16470, 71204}, {16583, 35650}, {16668, 71098}, {16669, 68883}, {16671, 20972}, {16696, 63359}, {17049, 71139}, {17126, 64709}, {17275, 36974}, {17331, 41809}, {17351, 53478}, {17355, 21024}, {17366, 64558}, {17735, 55100}, {17966, 38864}, {18164, 69053}, {18206, 28369}, {18674, 21800}, {20456, 23444}, {20461, 60697}, {20662, 21755}, {20683, 20964}, {21033, 21839}, {21748, 72559}, {21764, 23439}, {21826, 61036}, {21866, 69249}, {22369, 72633}, {24220, 37646}, {26772, 71635}, {27623, 31198}, {27644, 69016}, {29097, 53417}, {32653, 40081}, {34282, 37683}, {34379, 41014}, {37225, 54421}, {38109, 50036}, {40968, 58889}, {40983, 72599}, {41418, 63493}, {45305, 68936}, {50620, 62828}, {53425, 64017}, {53486, 70965}, {54351, 66970}, {54981, 62214}, {59579, 68938}, {61670, 62740}, {64159, 64582}, {72595, 72642}, {72607, 72635}, {72629, 72638}

X(72571) = isogonal conjugate of X(60235)
X(72571) = perspector of circumconic {{A, B, C, X(110), X(17136)}}
X(72571) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 60235}, {2, 40430}, {8, 63194}, {19, 57833}, {81, 65822}, {92, 57668}, {333, 17097}, {662, 56321}, {31623, 40442}
X(72571) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 60235}, {6, 57833}, {1084, 56321}, {5745, 76}, {17056, 28660}, {21044, 35519}, {22391, 57668}, {32664, 40430}, {37836, 2}, {40586, 65822}, {59602, 310}
X(72571) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2, 37836}, {6, 21748}, {109, 512}, {2650, 72635}, {17056, 72559}, {17963, 42669}, {21748, 72629}, {32653, 647}, {72644, 72607}
X(72571) = X(i)-complementary conjugate of X(j) for these {i, j}: {31, 37836}, {798, 40626}, {810, 38977}, {1918, 40590}, {2217, 3741}, {13478, 21240}, {15232, 2887}, {26704, 21259}, {32653, 4369}, {36050, 512}, {40160, 17046}, {44765, 42327}, {59005, 52601}, {65253, 52602}
X(72571) = X(i)-cross conjugate of X(j) for these {i, j}: {72607, 72638}
X(72571) = pole of line {512, 810} with respect to the Moses circle
X(72571) = pole of line {512, 810} with respect to the Brocard inellipse
X(72571) = pole of line {42, 184} with respect to the Jerabek hyperbola
X(72571) = pole of line {5, 515} with respect to the Kiepert hyperbola
X(72571) = pole of line {2, 7058} with respect to the Stammler hyperbola
X(72571) = pole of line {647, 4024} with respect to the Steiner inellipse
X(72571) = pole of line {76, 5737} with respect to the Wallace hyperbola
X(72571) = pole of line {520, 21187} with respect to the dual conic of DeLongchamps circle
X(72571) = pole of line {11281, 17045} with respect to the dual conic of Yff parabola
X(72571) = pole of line {338, 4957} with respect to the dual conic of Wallace hyperbola
X(72571) = pole of line {141, 37836} with respect to the dual conic of Moses HK-parabola
X(72571) = pole of line {115, 124} with respect to the orthoptic circle of Kiepert hyperbola
X(72571) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3), X(407)}}, {{A, B, C, X(6), X(17056)}}, {{A, B, C, X(37), X(4273)}}, {{A, B, C, X(58), X(1042)}}, {{A, B, C, X(71), X(4288)}}, {{A, B, C, X(181), X(573)}}, {{A, B, C, X(284), X(1400)}}, {{A, B, C, X(386), X(21674)}}, {{A, B, C, X(512), X(5060)}}, {{A, B, C, X(572), X(2350)}}, {{A, B, C, X(584), X(46018)}}, {{A, B, C, X(604), X(63382)}}, {{A, B, C, X(1333), X(28658)}}, {{A, B, C, X(1409), X(2193)}}, {{A, B, C, X(1500), X(2271)}}, {{A, B, C, X(2646), X(54417)}}, {{A, B, C, X(3736), X(18698)}}, {{A, B, C, X(4261), X(42708)}}, {{A, B, C, X(4267), X(21677)}}, {{A, B, C, X(5042), X(39965)}}, {{A, B, C, X(5114), X(39956)}}, {{A, B, C, X(5118), X(17136)}}, {{A, B, C, X(5467), X(53324)}}, {{A, B, C, X(14964), X(23755)}}, {{A, B, C, X(15232), X(37836)}}, {{A, B, C, X(19622), X(28615)}}, {{A, B, C, X(21741), X(35192)}}, {{A, B, C, X(22003), X(69069)}}
X(72571) = barycentric product X(i)*X(j) for these (i, j): {1, 2650}, {3, 407}, {4, 72559}, {7, 72635}, {8, 72638}, {10, 72644}, {19, 72648}, {75, 72607}, {101, 23755}, {109, 62566}, {523, 53324}, {1042, 6737}, {1333, 42708}, {1400, 5745}, {2646, 65}, {3664, 42}, {4017, 53388}, {15232, 37836}, {17056, 6}, {17136, 512}, {18698, 31}, {21674, 58}, {21677, 56}, {21748, 226}, {21811, 57}, {22003, 649}, {22361, 225}, {30604, 4588}, {40950, 73}, {40985, 72}, {72629, 92}
X(72571) = barycentric quotient X(i)/X(j) for these (i, j): {3, 57833}, {6, 60235}, {31, 40430}, {42, 65822}, {184, 57668}, {407, 264}, {512, 56321}, {604, 63194}, {1402, 17097}, {2646, 314}, {2650, 75}, {3664, 310}, {5745, 28660}, {17056, 76}, {17136, 670}, {18698, 561}, {21674, 313}, {21677, 3596}, {21748, 333}, {21811, 312}, {22003, 1978}, {22361, 332}, {23755, 3261}, {40950, 44130}, {40985, 286}, {42708, 27801}, {53324, 99}, {53388, 7257}, {62566, 35519}, {72559, 69}, {72607, 1}, {72629, 63}, {72635, 8}, {72638, 7}, {72644, 86}, {72648, 304}
X(72571) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 1182, 800}, {6, 2245, 2092}, {6, 2305, 284}, {6, 579, 39}, {31, 40952, 40984}, {213, 1400, 21796}, {284, 2305, 187}, {1475, 20228, 46189}

X(72572) = {X(6), X(48)}-CROSS-CONCEVIAN PERSPECTOR

X(72572) lies on these lines: {4, 6}, {48, 68731}, {71, 40591}, {81, 26119}, {184, 5042}, {185, 4263}, {213, 1042}, {2092, 3269}, {2212, 44112}, {2287, 26055}, {5019, 14585}, {5021, 44101}, {9449, 21753}, {20077, 56000}, {20228, 40958}, {21748, 39687}

X(72572) = perspector of circumconic {{A, B, C, X(107), X(53317)}}
X(72572) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 53044}, {48, 57834}, {63, 57669}
X(72572) = X(i)-Dao conjugate of X(j) for these {i, j}: {1249, 57834}, {3162, 57669}, {6708, 76}, {32664, 53044}
X(72572) = X(i)-Ceva conjugate of X(j) for these {i, j}: {108, 39201}, {18592, 408}, {58889, 72600}
X(72572) = pole of line {810, 39201} with respect to the Brocard inellipse
X(72572) = pole of line {42, 51} with respect to the Jerabek hyperbola
X(72572) = pole of line {4, 15622} with respect to the Kiepert hyperbola
X(72572) = pole of line {394, 7058} with respect to the Stammler hyperbola
X(72572) = pole of line {15526, 23978} with respect to the dual conic of Wallace hyperbola
X(72572) = intersection, other than A, B, C, of circumconics {{A, B, C, X(4), X(408)}}, {{A, B, C, X(393), X(18592)}}, {{A, B, C, X(1042), X(2658)}}, {{A, B, C, X(1172), X(1409)}}, {{A, B, C, X(1400), X(8748)}}
X(72572) = barycentric product X(i)*X(j) for these (i, j): {1, 2658}, {3, 58889}, {4, 408}, {48, 53036}, {55, 72579}, {56, 72586}, {58, 72593}, {63, 72595}, {69, 72600}, {71, 72602}, {72, 72604}, {77, 72615}, {520, 53317}, {1409, 6708}, {2654, 73}, {18592, 6}, {22341, 42385}, {40946, 65}
X(72572) = barycentric quotient X(i)/X(j) for these (i, j): {4, 57834}, {25, 57669}, {31, 53044}, {408, 69}, {2654, 44130}, {2658, 75}, {18592, 76}, {40946, 314}, {53036, 1969}, {53317, 6528}, {58889, 264}, {72579, 6063}, {72586, 3596}, {72593, 313}, {72595, 92}, {72600, 4}, {72602, 44129}, {72604, 286}, {72615, 318}

X(72573) = {X(6), X(67)}-CROSS-CONCEVIAN PERSPECTOR

X(72573) lies on these lines: {6, 1112}, {25, 32740}, {32, 3455}, {112, 895}, {217, 40673}, {648, 53765}, {690, 5095}, {1205, 3269}, {1560, 5181}, {1843, 3124}, {1992, 41678}, {2393, 14580}, {2854, 35325}, {3172, 10602}, {3284, 9475}, {5166, 37777}, {6593, 61207}, {9408, 51437}, {10417, 39689}, {14567, 44102}, {20410, 64619}, {25052, 41676}, {32248, 36828}, {35901, 38885}, {36879, 39575}, {41614, 41679}, {41744, 46243}, {42007, 64213}, {44467, 46154}

X(72573) = reflection of X(i) in X(j) for these {i,j}: {38356, 6}
X(72573) = perspector of circumconic {{A, B, C, X(468), X(10423)}}
X(72573) = X(i)-isoconjugate-of-X(j) for these {i, j}: {75, 41511}, {304, 10422}, {895, 37220}, {18876, 46277}, {36060, 46140}
X(72573) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 41511}, {468, 76}, {1560, 46140}, {14961, 305}, {61067, 30786}
X(72573) = X(i)-Ceva conjugate of X(j) for these {i, j}: {6, 44102}, {112, 42665}, {1560, 47426}, {15388, 61207}, {58078, 468}, {64619, 14580}
X(72573) = pole of line {42665, 64212} with respect to the circumcircle
X(72573) = pole of line {671, 46140} with respect to the polar circle
X(72573) = pole of line {42665, 47426} with respect to the Brocard inellipse
X(72573) = pole of line {5095, 9517} with respect to the Orthic inconic
X(72573) = pole of line {37804, 41511} with respect to the Stammler hyperbola
X(72573) = intersection, other than A, B, C, of circumconics {{A, B, C, X(32), X(51962)}}, {{A, B, C, X(690), X(1177)}}, {{A, B, C, X(895), X(42665)}}, {{A, B, C, X(1560), X(14273)}}, {{A, B, C, X(32740), X(60428)}}, {{A, B, C, X(34158), X(39238)}}, {{A, B, C, X(58780), X(64619)}}
X(72573) = barycentric product X(i)*X(j) for these (i, j): {4, 47426}, {25, 5181}, {187, 5523}, {351, 61181}, {1560, 6}, {2393, 468}, {2482, 64619}, {5095, 57485}, {14273, 61198}, {14357, 20410}, {14580, 524}, {14961, 60428}, {34336, 51962}, {44102, 858}, {46592, 690}, {47138, 61207}, {58078, 61067}, {61206, 62577}
X(72573) = barycentric quotient X(i)/X(j) for these (i, j): {32, 41511}, {468, 46140}, {1560, 76}, {1974, 10422}, {2393, 30786}, {5181, 305}, {5523, 18023}, {14567, 18876}, {14580, 671}, {20410, 52551}, {39689, 53784}, {44102, 2373}, {46592, 892}, {47426, 69}, {51962, 15398}, {61181, 53080}, {64619, 57539}

X(72574) = {X(6), X(81)}-CROSS-CONCEVIAN PERSPECTOR

X(72574) lies on these lines: {6, 1621}, {43, 68950}, {1206, 1977}, {2092, 23632}, {2238, 72553}, {3691, 3720}, {4285, 20973}, {4651, 4969}, {7277, 8049}, {25502, 71880}, {40732, 61358}

X(72574) = perspector of circumconic {{A, B, C, X(4436), X(8708)}}
X(72574) = X(i)-Dao conjugate of X(j) for these {i, j}: {4698, 76}
X(72574) = pole of line {50497, 68881} with respect to the Brocard inellipse
X(72574) = pole of line {18166, 40408} with respect to the Stammler hyperbola
X(72574) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3720), X(40433)}}, {{A, B, C, X(20963), X(57397)}}
X(72574) = barycentric product X(i)*X(j) for these (i, j): {1, 72536}, {20963, 4698}, {47917, 70144}
X(72574) = barycentric quotient X(i)/X(j) for these (i, j): {72536, 75}

X(72575) = {X(6), X(83)}-CROSS-CONCEVIAN PERSPECTOR

X(72575) lies on these lines: {6, 1078}, {39, 21969}, {194, 33798}, {1207, 9427}, {3934, 17176}, {5041, 51322}, {7927, 69777}, {11205, 58486}, {14881, 43843}, {23642, 64713}

X(72575) = X(i)-Dao conjugate of X(j) for these {i, j}: {6683, 76}
X(72575) = pole of line {70349, 70350} with respect to the Brocard inellipse
X(72575) = pole of line {20965, 42346} with respect to the Stammler hyperbola
X(72575) = pole of line {3934, 39968} with respect to the Wallace hyperbola
X(72575) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3934), X(6683)}}, {{A, B, C, X(20965), X(42346)}}
X(72575) = barycentric product X(i)*X(j) for these (i, j): {20965, 6683}
X(72575) = barycentric quotient X(i)/X(j) for these (i, j): {6683, 31630}

X(72576) = {X(6), X(86)}-CROSS-CONCEVIAN PERSPECTOR

X(72576) lies on circumconic {{A, B, C, X(2309), X(57399)}} and on these lines: {6, 22199}, {9, 40733}, {41, 20864}, {213, 22343}, {386, 23643}, {1017, 23448}, {1197, 2309}, {1964, 6378}, {20970, 23444}, {21754, 23449}

X(72576) = perspector of circumconic {{A, B, C, X(53268), X(59102)}}
X(72576) = X(i)-Dao conjugate of X(j) for these {i, j}: {6685, 76}
X(72576) = X(i)-Ceva conjugate of X(j) for these {i, j}: {101, 50510}
X(72576) = pole of line {40627, 50510} with respect to the Brocard inellipse
X(72576) = pole of line {16738, 40409} with respect to the Stammler hyperbola
X(72576) = barycentric product X(i)*X(j) for these (i, j): {2309, 6685}

X(72577) = {X(7), X(8)}-CROSS-CONCEVIAN PERSPECTOR

X(72577) lies on these lines: {11, 169}, {55, 20269}, {56, 516}, {497, 3673}, {962, 12402}, {1360, 37722}, {1836, 10481}, {1837, 2809}, {3022, 30617}, {3309, 63601}, {11376, 52015}, {12589, 34381}, {24703, 30625}

X(72577) = X(i)-Ceva conjugate of X(j) for these {i, j}: {7, 30623}
X(72577) = pole of line {17625, 30617} with respect to the Feuerbach hyperbola
X(72577) = pole of line {26721, 28588} with respect to the Steiner inellipse
X(72577) = pole of line {5452, 6180} with respect to the dual conic of Yff parabola
X(72577) = intersection, other than A, B, C, of circumconics {{A, B, C, X(497), X(30623)}}, {{A, B, C, X(614), X(42382)}}, {{A, B, C, X(7195), X(30620)}}
X(72577) = barycentric product X(i)*X(j) for these (i, j): {30620, 4000}, {30623, 6554}
X(72577) = barycentric quotient X(i)/X(j) for these (i, j): {30620, 30701}, {30623, 30705}

X(72578) = {X(7), X(75)}-CROSS-CONCEVIAN PERSPECTOR

X(72578) lies on circumconic {{A, B, C, X(1476), X(3057)}} and on these lines: {7, 1476}, {57, 3782}, {144, 63051}, {1122, 3057}, {4346, 37567}, {4357, 50038}, {17274, 34689}, {21143, 48334}, {39063, 60961}, {40151, 56218}

X(72578) = X(i)-Dao conjugate of X(j) for these {i, j}: {6692, 8}, {59507, 42339}
X(72578) = X(i)-Ceva conjugate of X(j) for these {i, j}: {658, 21120}
X(72578) = pole of line {21120, 28006} with respect to the incircle
X(72578) = barycentric product X(i)*X(j) for these (i, j): {85, 72526}, {3663, 6692}, {20323, 26563}, {52563, 66205}
X(72578) = barycentric quotient X(i)/X(j) for these (i, j): {3663, 42339}, {6692, 1222}, {20323, 23617}, {66205, 52549}, {72526, 9}

X(72579) = {X(7), X(77)}-CROSS-CONCEVIAN PERSPECTOR

X(72579) lies on these lines: {7, 286}, {19, 51645}, {57, 18599}, {65, 1439}, {307, 7066}, {1361, 1367}, {1364, 3664}, {1836, 21746}, {2294, 70368}, {3649, 70229}, {7355, 41010}, {17114, 65688}

X(72579) = X(i)-isoconjugate-of-X(j) for these {i, j}: {55, 53044}, {212, 57669}
X(72579) = X(i)-Dao conjugate of X(j) for these {i, j}: {223, 53044}, {6708, 8}, {40837, 57669}
X(72579) = X(i)-cross conjugate of X(j) for these {i, j}: {2658, 18592}
X(72579) = pole of line {647, 51664} with respect to the incircle
X(72579) = pole of line {6056, 6061} with respect to the Stammler hyperbola
X(72579) = intersection, other than A, B, C, of circumconics {{A, B, C, X(65), X(1896)}}, {{A, B, C, X(286), X(1439)}}, {{A, B, C, X(331), X(20618)}}, {{A, B, C, X(408), X(39791)}}, {{A, B, C, X(1118), X(7143)}}, {{A, B, C, X(2654), X(5930)}}, {{A, B, C, X(3668), X(18592)}}
X(72579) = barycentric product X(i)*X(j) for these (i, j): {279, 72586}, {307, 72602}, {331, 408}, {348, 58889}, {1231, 72604}, {1434, 72593}, {1439, 6708}, {1446, 40946}, {2654, 56382}, {2658, 85}, {6063, 72572}, {7182, 72595}, {18592, 7}, {53036, 77}, {57918, 72600}
X(72579) = barycentric quotient X(i)/X(j) for these (i, j): {57, 53044}, {278, 57669}, {331, 57834}, {408, 219}, {2654, 2322}, {2658, 9}, {18592, 8}, {40946, 2287}, {53036, 318}, {58889, 281}, {72572, 55}, {72586, 346}, {72593, 2321}, {72595, 33}, {72600, 607}, {72602, 29}, {72604, 1172}, {72615, 7079}

X(72580) = {X(7), X(81)}-CROSS-CONCEVIAN PERSPECTOR

X(72580) lies on circumconic {{A, B, C, X(7), X(37993)}} and on these lines: {7, 39796}, {55, 39792}, {57, 2954}, {65, 11362}, {196, 1075}, {354, 3668}, {942, 1838}, {1401, 65688}, {1836, 39789}, {3925, 55076}, {4654, 11435}, {6147, 7066}, {39793, 40959}, {42758, 50338}, {44840, 63332}

X(72580) = reflection of X(i) in X(j) for these {i,j}: {10206, 942}
X(72580) = X(i)-Ceva conjugate of X(j) for these {i, j}: {13149, 52306}
X(72580) = pole of line {33525, 50354} with respect to the incircle
X(72580) = pole of line {63999, 67849} with respect to the Feuerbach hyperbola
X(72580) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {942, 55010, 37993}

X(72581) = {X(7), X(88)}-CROSS-CONCEVIAN PERSPECTOR

X(72581) lies on these lines: {11, 65}, {497, 39796}, {517, 52659}, {1362, 3326}, {1401, 1836}, {1838, 21664}, {2098, 10571}, {2254, 42757}, {4551, 7982}, {4792, 14260}, {4860, 39792}, {4934, 39793}, {5603, 70313}, {7355, 9614}, {25415, 60787}, {35015, 53548}, {39791, 50196}

X(72581) = X(i)-Ceva conjugate of X(j) for these {i, j}: {36620, 1465}
X(72581) = pole of line {1769, 3310} with respect to the incircle
X(72581) = pole of line {515, 62789} with respect to the Feuerbach hyperbola
X(72581) = pole of line {11, 124} with respect to the orthoptic circle of Feuerbach hyperbola
X(72581) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1537, 45022, 1361}

X(72582) = {X(8), X(1)}-CROSS-CONCEVIAN PERSPECTOR

X(72582) lies on these lines: {8, 44723}, {960, 52871}, {2321, 3893}, {2802, 3454}, {3057, 3452}, {3271, 66205}, {3662, 14923}, {3688, 4012}, {3704, 3880}, {5854, 10544}, {6018, 41012}, {28352, 72554}, {50580, 64768}, {50621, 64744}, {72531, 72543}

X(72582) = X(i)-isoconjugate-of-X(j) for these {i, j}: {23617, 42338}
X(72582) = barycentric product X(i)*X(j) for these (i, j): {8, 72543}, {312, 72531}
X(72582) = barycentric quotient X(i)/X(j) for these (i, j): {1201, 42338}, {72531, 57}, {72543, 7}

X(72583) = {X(8), X(7)}-CROSS-CONCEVIAN PERSPECTOR

X(72583) lies on these lines: {1, 25365}, {10, 45061}, {55, 24388}, {480, 1837}, {497, 4012}, {521, 3056}, {900, 17276}, {2321, 4863}, {3271, 30620}, {3419, 32941}, {3704, 3886}, {3938, 5101}, {3966, 4111}, {4110, 4514}, {12589, 15733}, {12701, 44661}, {17447, 66662}, {17765, 64087}, {67059, 71215}

X(72583) = X(i)-Dao conjugate of X(j) for these {i, j}: {17279, 7}
X(72583) = X(i)-Ceva conjugate of X(j) for these {i, j}: {8, 30615}
X(72583) = pole of line {17658, 30615} with respect to the Feuerbach hyperbola
X(72583) = intersection, other than A, B, C, of circumconics {{A, B, C, X(497), X(30615)}}, {{A, B, C, X(4012), X(30617)}}
X(72583) = barycentric product X(i)*X(j) for these (i, j): {75, 72590}, {2082, 33937}, {17279, 497}, {27509, 5101}, {30615, 4000}, {30617, 6554}
X(72583) = barycentric quotient X(i)/X(j) for these (i, j): {3938, 7131}, {17279, 8817}, {30615, 30701}, {30617, 30705}, {72590, 1}

X(72584) = {X(8), X(21)}-CROSS-CONCEVIAN PERSPECTOR

X(72584) lies on these lines: {8, 23638}, {10, 50032}, {181, 5835}, {210, 5837}, {517, 39573}, {594, 34434}, {960, 1682}, {1500, 33299}, {2321, 3057}, {3661, 3869}, {4012, 52562}, {4662, 38992}, {50629, 59310}, {72532, 72550}

X(72584) = X(i)-Dao conjugate of X(j) for these {i, j}: {44417, 7}, {72550, 31643}
X(72584) = X(i)-Ceva conjugate of X(j) for these {i, j}: {646, 52326}
X(72584) = pole of line {17420, 52326} with respect to the Mandart inellipse
X(72584) = intersection, other than A, B, C, of circumconics {{A, B, C, X(8), X(1682)}}, {{A, B, C, X(3687), X(10459)}}
X(72584) = barycentric product X(i)*X(j) for these (i, j): {8, 72550}, {312, 72532}, {333, 72592}, {345, 72564}, {10455, 21033}, {10459, 3687}, {44417, 960}
X(72584) = barycentric quotient X(i)/X(j) for these (i, j): {10459, 64984}, {44417, 31643}, {72532, 57}, {72550, 7}, {72564, 278}, {72592, 226}, {72652, 1427}
X(72584) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {960, 3704, 1682}, {72532, 72592, 72550}

X(72585) = {X(8), X(75)}-CROSS-CONCEVIAN PERSPECTOR

X(72585) lies on these lines: {8, 344}, {9, 3058}, {11, 40659}, {40, 3358}, {72, 4301}, {142, 354}, {144, 3434}, {200, 63287}, {210, 24389}, {516, 3650}, {518, 3649}, {523, 23760}, {528, 61024}, {1445, 40663}, {2099, 8232}, {2550, 5221}, {2886, 34784}, {3057, 7064}, {3174, 38399}, {3681, 42356}, {3748, 6666}, {3826, 11025}, {3935, 59476}, {4081, 4431}, {4679, 64368}, {4853, 67972}, {4915, 5844}, {5223, 12699}, {5572, 25006}, {5659, 10857}, {5686, 64068}, {5853, 21677}, {6068, 61000}, {6734, 34501}, {9710, 67934}, {11495, 64153}, {12670, 63257}, {12682, 17768}, {15909, 42015}, {17051, 63261}, {17246, 71236}, {18517, 31671}, {26015, 58634}, {28043, 72276}, {31140, 61010}, {33298, 56310}, {34612, 60974}, {42449, 52818}, {49732, 60948}, {72525, 72552}

X(72585) = inverse of X(40659) in Feuerbach hyperbola
X(72585) = X(i)-isoconjugate-of-X(j) for these {i, j}: {57, 72457}, {58104, 58322}
X(72585) = X(i)-Dao conjugate of X(j) for these {i, j}: {5452, 72457}, {6666, 7}, {72552, 21453}
X(72585) = X(i)-cross conjugate of X(j) for these {i, j}: {42438, 72552}
X(72585) = pole of line {40659, 66210} with respect to the Feuerbach hyperbola
X(72585) = pole of line {6362, 14283} with respect to the Mandart inellipse
X(72585) = pole of line {200, 6067} with respect to the dual conic of Moses-Feuerbach circumconic
X(72585) = intersection, other than A, B, C, of circumconics {{A, B, C, X(8), X(6067)}}, {{A, B, C, X(9), X(61033)}}, {{A, B, C, X(142), X(6666)}}, {{A, B, C, X(354), X(2346)}}, {{A, B, C, X(3925), X(56157)}}, {{A, B, C, X(4847), X(56118)}}, {{A, B, C, X(15909), X(58816)}}, {{A, B, C, X(45226), X(62731)}}
X(72585) = barycentric product X(i)*X(j) for these (i, j): {8, 72552}, {76, 72632}, {312, 72525}, {1229, 3748}, {4847, 6666}, {42438, 75}, {51972, 58816}
X(72585) = barycentric quotient X(i)/X(j) for these (i, j): {55, 72457}, {3748, 1170}, {4847, 32015}, {6666, 21453}, {35326, 58104}, {42438, 1}, {58816, 10509}, {61232, 65222}, {72525, 57}, {72552, 7}, {72632, 6}
X(72585) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3059, 4847, 6067}, {3059, 6067, 61035}

X(72586) = {X(8), X(78)}-CROSS-CONCEVIAN PERSPECTOR

X(72586) lies on these lines: {8, 1857}, {10, 12}, {517, 39574}, {958, 6056}, {1425, 21912}, {1837, 23638}, {2318, 40591}, {2658, 18592}, {3057, 71304}, {3704, 7068}, {3990, 69547}, {4111, 52562}, {5174, 59683}, {18641, 39791}, {21671, 22076}, {40966, 69763}, {51366, 65576}, {53036, 58889}

X(72586) = reflection of X(i) in X(j) for these {i,j}: {39791, 18641}
X(72586) = X(i)-isoconjugate-of-X(j) for these {i, j}: {56, 53044}, {603, 57669}
X(72586) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 53044}, {6708, 7}, {7952, 57669}, {18592, 286}
X(72586) = pole of line {647, 656} with respect to the Mandart inellipse
X(72586) = pole of line {60, 7335} with respect to the Stammler hyperbola
X(72586) = pole of line {261, 1804} with respect to the Wallace hyperbola
X(72586) = pole of line {1367, 34387} with respect to the dual conic of Stammler hyperbola
X(72586) = pole of line {11, 61058} with respect to the dual conic of Wallace hyperbola
X(72586) = intersection, other than A, B, C, of circumconics {{A, B, C, X(8), X(7066)}}, {{A, B, C, X(65), X(1896)}}, {{A, B, C, X(181), X(1857)}}, {{A, B, C, X(226), X(2654)}}, {{A, B, C, X(3949), X(52357)}}, {{A, B, C, X(7017), X(26942)}}
X(72586) = barycentric product X(i)*X(j) for these (i, j): {304, 72615}, {321, 40946}, {333, 72593}, {345, 58889}, {346, 72579}, {408, 7017}, {2654, 306}, {2658, 312}, {3596, 72572}, {3710, 72602}, {3718, 72595}, {3998, 42385}, {6708, 72}, {18592, 8}, {53036, 78}, {57919, 72600}
X(72586) = barycentric quotient X(i)/X(j) for these (i, j): {9, 53044}, {281, 57669}, {408, 222}, {2654, 27}, {2658, 57}, {6708, 286}, {7017, 57834}, {18592, 7}, {40946, 81}, {53036, 273}, {58889, 278}, {72572, 56}, {72579, 279}, {72593, 226}, {72595, 34}, {72600, 608}, {72604, 1396}, {72615, 19}
X(72586) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {10, 72, 7066}, {2658, 72593, 18592}

X(72587) = {X(8), X(100)}-CROSS-CONCEVIAN PERSPECTOR

X(72587) lies on these lines: {8, 40944}, {11, 7358}, {72, 2802}, {100, 72646}, {124, 35057}, {513, 52117}, {521, 1364}, {1897, 3042}, {3271, 7068}, {3900, 38357}, {4863, 44707}, {11436, 71309}, {14298, 23970}, {24031, 35014}, {38389, 57293}, {38983, 57108}

X(72587) = reflection of X(i) in X(j) for these {i,j}: {1364, 2968}, {1897, 3042}
X(72587) = X(i)-Ceva conjugate of X(j) for these {i, j}: {6557, 57055}, {36624, 57101}, {36795, 52307}, {40527, 34591}
X(72587) = pole of line {4163, 8058} with respect to the Feuerbach hyperbola
X(72587) = pole of line {7004, 7117} with respect to the Mandart inellipse
X(72587) = pole of line {11, 6245} with respect to the orthoptic circle of Feuerbach hyperbola
X(72587) = pole of line {125, 58890} with respect to the orthoptic circle of Jerabek hyperbola
X(72587) = intersection, other than A, B, C, of circumconics {{A, B, C, X(8), X(1364)}}, {{A, B, C, X(2968), X(5687)}}
X(72587) = barycentric product X(i)*X(j) for these (i, j): {345, 38389}, {2968, 34048}, {17894, 652}, {26932, 5687}, {36795, 57293}, {48303, 6332}, {56082, 7004}
X(72587) = barycentric quotient X(i)/X(j) for these (i, j): {5687, 46102}, {16228, 54240}, {17894, 46404}, {34048, 55346}, {38389, 278}, {48303, 653}, {57293, 1465}
X(72587) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {521, 2968, 1364}

X(72588) = {X(9), X(8)}-CROSS-CONCEVIAN PERSPECTOR

X(72588) lies on these lines: {8, 3985}, {9, 21}, {10, 70321}, {37, 4005}, {42, 70518}, {63, 25946}, {72, 21808}, {210, 1334}, {213, 756}, {220, 3715}, {391, 19582}, {430, 8013}, {431, 70176}, {442, 69727}, {644, 32635}, {672, 5044}, {748, 69283}, {758, 21921}, {762, 52963}, {861, 8012}, {896, 5277}, {960, 2170}, {1018, 4015}, {1046, 37675}, {1125, 17746}, {1213, 3649}, {1475, 25917}, {1500, 21805}, {1571, 9350}, {1962, 20970}, {2171, 41538}, {2238, 2292}, {2269, 64131}, {2294, 21873}, {2650, 16589}, {3219, 19308}, {3294, 3678}, {3501, 63961}, {3647, 35342}, {3679, 70539}, {3683, 72624}, {3684, 71211}, {3686, 3702}, {3700, 70291}, {3728, 66878}, {3970, 4134}, {3983, 21872}, {3991, 4533}, {3994, 69549}, {4111, 42446}, {4115, 4647}, {4420, 60711}, {4520, 4662}, {4695, 69248}, {4703, 26085}, {4754, 59633}, {4771, 64071}, {5258, 17439}, {5282, 19329}, {5506, 70218}, {5692, 17451}, {9310, 41229}, {10176, 16552}, {11203, 54388}, {12701, 17275}, {16143, 37508}, {16720, 17332}, {17125, 69224}, {17335, 18055}, {18253, 69729}, {21039, 52370}, {21044, 21677}, {21810, 40977}, {21840, 72317}, {21874, 59305}, {24048, 25081}, {24443, 37673}, {25614, 65695}, {26036, 31018}, {27065, 41239}, {27553, 68944}, {28062, 28070}, {29991, 70092}, {36263, 69221}, {39258, 40607}, {59307, 70551}

X(72588) = reflection of X(i) in X(j) for these {i,j}: {21921, 46196}
X(72588) = perspector of circumconic {{A, B, C, X(643), X(4069)}}
X(72588) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 1171}, {56, 32014}, {57, 40438}, {226, 52558}, {278, 57685}, {552, 52555}, {608, 57854}, {1014, 1255}, {1126, 1434}, {1268, 1412}, {1408, 32018}, {1414, 47947}, {1442, 65048}, {3669, 4596}, {3676, 4629}, {4017, 62535}, {4565, 4608}, {4573, 50344}, {4632, 43924}, {6539, 7341}, {6578, 7178}, {7203, 37212}, {8701, 17096}, {28615, 57785}, {59194, 60717}
X(72588) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 32014}, {1125, 85}, {1213, 57785}, {3120, 24002}, {3647, 1434}, {5452, 40438}, {21709, 69666}, {34961, 62535}, {40599, 1268}, {40608, 47947}, {55064, 4608}, {59577, 32018}, {59592, 274}, {62647, 57854}
X(72588) = X(i)-Ceva conjugate of X(j) for these {i, j}: {9, 3683}, {644, 4041}, {1213, 1962}, {3683, 72634}, {3686, 4046}
X(72588) = X(i)-cross conjugate of X(j) for these {i, j}: {72634, 1962}
X(72588) = pole of line {3683, 3691} with respect to the Feuerbach hyperbola
X(72588) = pole of line {4913, 35057} with respect to the Mandart inellipse
X(72588) = intersection, other than A, B, C, of circumconics {{A, B, C, X(9), X(21816)}}, {{A, B, C, X(21), X(210)}}, {{A, B, C, X(78), X(8013)}}, {{A, B, C, X(284), X(1334)}}, {{A, B, C, X(756), X(3876)}}, {{A, B, C, X(1213), X(2287)}}, {{A, B, C, X(1819), X(22080)}}, {{A, B, C, X(2268), X(72625)}}, {{A, B, C, X(2321), X(4877)}}, {{A, B, C, X(4041), X(32635)}}, {{A, B, C, X(31938), X(40967)}}
X(72588) = barycentric product X(i)*X(j) for these (i, j): {1, 4046}, {10, 3683}, {21, 8013}, {33, 41014}, {75, 72634}, {76, 72624}, {200, 3649}, {212, 44143}, {281, 3958}, {314, 72625}, {341, 72639}, {345, 72594}, {346, 72640}, {430, 78}, {522, 69842}, {1018, 4976}, {1100, 2321}, {1125, 210}, {1213, 9}, {1230, 41}, {1269, 72633}, {1334, 4359}, {1839, 3694}, {1962, 8}, {2194, 52576}, {2308, 3701}, {2318, 56875}, {2355, 3710}, {3239, 61170}, {3596, 72606}, {3686, 37}, {3699, 4983}, {3702, 42}, {3709, 65161}, {3718, 72599}, {3916, 53008}, {4041, 4427}, {4069, 4977}, {4115, 650}, {4171, 63782}, {4515, 553}, {4551, 4990}, {4557, 4985}, {4647, 55}, {4988, 644}, {6057, 69840}, {6367, 643}, {7017, 72628}, {7257, 8663}, {16709, 7064}, {20970, 312}, {21816, 333}, {22080, 318}, {28659, 72612}, {30591, 3939}, {30729, 661}, {30730, 4979}, {32635, 8040}, {32636, 4082}, {35327, 4086}, {35339, 4843}, {35342, 3700}, {59218, 60675}, {61174, 663}
X(72588) = barycentric quotient X(i)/X(j) for these (i, j): {9, 32014}, {41, 1171}, {55, 40438}, {78, 57854}, {210, 1268}, {212, 57685}, {430, 273}, {644, 4632}, {1100, 1434}, {1125, 57785}, {1213, 85}, {1230, 20567}, {1334, 1255}, {1962, 7}, {2194, 52558}, {2308, 1014}, {2321, 32018}, {3649, 1088}, {3683, 86}, {3686, 274}, {3702, 310}, {3709, 47947}, {3939, 4596}, {3958, 348}, {4041, 4608}, {4046, 75}, {4069, 6540}, {4115, 4554}, {4427, 4625}, {4515, 4102}, {4647, 6063}, {4976, 7199}, {4979, 17096}, {4983, 3676}, {4985, 52619}, {4988, 24002}, {4990, 18155}, {5546, 62535}, {6367, 4077}, {8013, 1441}, {8663, 4017}, {20970, 57}, {21816, 226}, {22080, 77}, {30591, 52621}, {30729, 799}, {35327, 1414}, {35342, 4573}, {36075, 4637}, {41014, 7182}, {44143, 57787}, {50512, 7203}, {52370, 1796}, {59218, 60732}, {61170, 658}, {61174, 4572}, {61225, 4616}, {63461, 50344}, {63782, 4635}, {65375, 6578}, {69840, 552}, {69842, 664}, {72594, 278}, {72599, 34}, {72606, 56}, {72612, 604}, {72617, 3982}, {72623, 28615}, {72624, 6}, {72625, 65}, {72628, 222}, {72633, 1126}, {72634, 1}, {72639, 269}, {72640, 279}
X(72588) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 21033, 21811}, {9, 3876, 33299}, {9, 70519, 41}, {9, 72322, 21}, {41, 70519, 70527}, {72, 59207, 21808}, {758, 46196, 21921}, {960, 3691, 2170}, {1213, 3958, 72640}, {2238, 21879, 2292}, {3294, 3678, 3930}, {10176, 16552, 39244}, {16589, 21839, 2650}, {20970, 21816, 1962}, {21677, 38930, 21044}

X(72589) = {X(9), X(55)}-CROSS-CONCEVIAN PERSPECTOR

X(72589) lies on these lines: {9, 312}, {45, 5364}, {55, 72624}, {210, 1334}, {672, 44307}, {756, 39258}, {1215, 3294}, {2238, 21883}, {2279, 25430}, {2667, 21753}, {3691, 3706}, {3693, 21033}, {3725, 21838}, {7064, 21795}, {8012, 17611}, {16589, 39793}, {17056, 69724}, {21020, 61163}, {21035, 21813}, {21699, 72562}, {21816, 40978}, {22080, 69730}, {25427, 25507}, {27798, 46196}, {31442, 72641}, {31993, 59207}, {34064, 39252}, {59624, 61234}, {69547, 70528}

X(72589) = perspector of circumconic {{A, B, C, X(4069), X(7257)}}
X(72589) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 40408}, {57, 40439}, {65, 59147}, {1014, 32009}, {1414, 72049}, {1434, 40433}, {4573, 50520}, {8708, 17096}, {57397, 57785}
X(72589) = X(i)-Dao conjugate of X(j) for these {i, j}: {2486, 57247}, {3121, 3676}, {3739, 85}, {5452, 40439}, {40602, 59147}, {40608, 72049}, {62646, 57785}
X(72589) = X(i)-Ceva conjugate of X(j) for these {i, j}: {9, 3691}, {3691, 4111}, {3699, 63461}, {16589, 2667}
X(72589) = X(i)-cross conjugate of X(j) for these {i, j}: {72636, 2667}
X(72589) = pole of line {3691, 71278} with respect to the Feuerbach hyperbola
X(72589) = pole of line {604, 59147} with respect to the Stammler hyperbola
X(72589) = intersection, other than A, B, C, of circumconics {{A, B, C, X(210), X(314)}}, {{A, B, C, X(312), X(21820)}}, {{A, B, C, X(333), X(1334)}}, {{A, B, C, X(3718), X(21699)}}, {{A, B, C, X(4515), X(16589)}}, {{A, B, C, X(17185), X(72608)}}
X(72589) = barycentric product X(i)*X(j) for these (i, j): {1, 4111}, {21, 21699}, {41, 53478}, {75, 72636}, {78, 72562}, {200, 39793}, {210, 3720}, {281, 72649}, {284, 52579}, {346, 72642}, {1334, 3739}, {2667, 8}, {3596, 72608}, {3691, 37}, {3694, 40975}, {3699, 50497}, {3700, 70144}, {3701, 72265}, {3706, 42}, {3709, 70145}, {3939, 48393}, {4041, 4436}, {4069, 6372}, {4557, 48264}, {6057, 70143}, {16589, 9}, {17175, 7064}, {20888, 72633}, {20963, 2321}, {21020, 55}, {21753, 312}, {21820, 333}, {22060, 53008}, {22369, 318}, {30713, 72267}, {30730, 68881}, {50538, 643}, {53363, 63461}, {61163, 650}, {70154, 72614}, {72268, 72623}
X(72589) = barycentric quotient X(i)/X(j) for these (i, j): {41, 40408}, {55, 40439}, {284, 59147}, {1334, 32009}, {2667, 7}, {3691, 274}, {3706, 310}, {3709, 72049}, {3720, 57785}, {4111, 75}, {4436, 4625}, {7064, 72048}, {16589, 85}, {20963, 1434}, {21020, 6063}, {21699, 1441}, {21753, 57}, {21820, 226}, {22369, 77}, {39793, 1088}, {48264, 52619}, {48393, 52621}, {50497, 3676}, {50538, 4077}, {52579, 349}, {53363, 55213}, {53478, 20567}, {61163, 4554}, {63461, 50520}, {68881, 17096}, {70143, 552}, {70144, 4573}, {72265, 1014}, {72267, 1412}, {72562, 273}, {72608, 56}, {72620, 3665}, {72623, 57397}, {72633, 40433}, {72636, 1}, {72642, 279}, {72649, 348}
X(72589) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {756, 40586, 39258}, {16589, 72649, 72642}, {21753, 21820, 2667}, {21838, 66878, 3725}, {61163, 62646, 21020}

X(72590) = {X(9), X(57)}-CROSS-CONCEVIAN PERSPECTOR

X(72590) lies on these lines: {6, 71276}, {9, 30681}, {169, 33144}, {497, 2082}, {652, 20665}, {2170, 5452}, {2238, 22073}, {2348, 6602}, {3944, 5540}, {4104, 21373}, {21033, 37658}, {27538, 33950}

X(72590) = X(i)-Dao conjugate of X(j) for these {i, j}: {17279, 85}
X(72590) = intersection, other than A, B, C, of circumconics {{A, B, C, X(497), X(30615)}}, {{A, B, C, X(2082), X(56243)}}
X(72590) = barycentric product X(i)*X(j) for these (i, j): {1, 72583}, {1040, 5101}, {3938, 497}, {5324, 69298}, {17279, 2082}, {30615, 614}, {30617, 4319}, {33937, 7083}, {33953, 40965}
X(72590) = barycentric quotient X(i)/X(j) for these (i, j): {3938, 8817}, {30615, 57925}, {72583, 75}

X(72591) = {X(9), X(78)}-CROSS-CONCEVIAN PERSPECTOR

X(72591) lies on these lines: {9, 318}, {41, 212}, {44, 71}, {51, 2179}, {73, 2253}, {201, 2170}, {216, 30493}, {217, 62266}, {1334, 40945}, {1953, 2599}, {2082, 55104}, {2202, 3074}, {2225, 40957}, {4020, 7117}, {7085, 20665}, {7154, 26867}, {44687, 65201}

X(72591) = perspector of circumconic {{A, B, C, X(35320), X(65375)}}
X(72591) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 275}, {34, 62276}, {54, 331}, {56, 276}, {57, 40440}, {85, 2190}, {95, 278}, {222, 8795}, {273, 2167}, {348, 8884}, {608, 34384}, {1118, 34386}, {1396, 56189}, {1397, 57790}, {1804, 8794}, {1847, 44687}, {2148, 57787}, {4077, 65221}, {4573, 66300}, {6063, 8882}, {7017, 62264}, {7178, 18831}, {16813, 17094}, {20567, 62268}, {41283, 62271}, {52411, 57844}, {57918, 61362}
X(72591) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 276}, {5, 85}, {130, 51664}, {216, 57787}, {5452, 40440}, {11517, 62276}, {15450, 4077}, {40588, 273}, {52032, 20567}, {62585, 57790}, {62647, 34384}
X(72591) = X(i)-Ceva conjugate of X(j) for these {i, j}: {9, 7069}, {216, 62266}, {7069, 72613}
X(72591) = pole of line {85, 7125} with respect to the Stammler hyperbola
X(72591) = pole of line {7183, 20567} with respect to the Wallace hyperbola
X(72591) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5), X(36020)}}, {{A, B, C, X(41), X(72613)}}, {{A, B, C, X(51), X(1896)}}, {{A, B, C, X(212), X(318)}}, {{A, B, C, X(217), X(2179)}}
X(72591) = barycentric product X(i)*X(j) for these (i, j): {1, 44707}, {3, 7069}, {33, 5562}, {51, 78}, {69, 72613}, {200, 30493}, {210, 44709}, {212, 5}, {216, 9}, {217, 312}, {220, 44708}, {318, 418}, {333, 72618}, {343, 41}, {346, 72643}, {1259, 2181}, {1260, 1393}, {1265, 72616}, {1334, 16697}, {1625, 8611}, {1953, 219}, {2179, 345}, {2212, 52347}, {2289, 53}, {2310, 44710}, {3199, 3719}, {3694, 72603}, {3710, 72605}, {3718, 40981}, {6368, 65375}, {7070, 8798}, {14213, 52425}, {15451, 643}, {17167, 52370}, {17434, 65201}, {18180, 2318}, {18695, 2175}, {21011, 2193}, {21807, 283}, {23090, 35307}, {23181, 4041}, {27372, 4123}, {28706, 9447}, {35194, 8606}, {35321, 52307}, {42698, 57657}, {44687, 61378}, {44706, 55}, {62257, 62273}, {62262, 62277}, {62266, 8}, {65485, 7257}
X(72591) = barycentric quotient X(i)/X(j) for these (i, j): {5, 57787}, {9, 276}, {33, 8795}, {41, 275}, {51, 273}, {55, 40440}, {78, 34384}, {212, 95}, {216, 85}, {217, 57}, {219, 62276}, {312, 57790}, {318, 57844}, {343, 20567}, {418, 77}, {1953, 331}, {2175, 2190}, {2179, 278}, {2212, 8884}, {2289, 34386}, {2318, 56189}, {5562, 7182}, {6056, 62277}, {7069, 264}, {9447, 8882}, {9448, 62268}, {15451, 4077}, {18695, 41283}, {21011, 52575}, {21807, 57809}, {23181, 4625}, {30493, 1088}, {40981, 34}, {42293, 51664}, {44088, 603}, {44706, 6063}, {44707, 75}, {44708, 57792}, {44709, 57785}, {46394, 44708}, {52370, 56246}, {52425, 2167}, {61194, 65232}, {62257, 2169}, {62266, 7}, {63461, 66300}, {65201, 42405}, {65375, 18831}, {65485, 4017}, {72613, 4}, {72616, 1119}, {72618, 226}, {72643, 279}
X(72591) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {217, 72618, 62266}

X(72592) = {X(10), X(1)}-CROSS-CONCEVIAN PERSPECTOR

X(72592) lies on these lines: {10, 14815}, {38, 5835}, {594, 4642}, {756, 21031}, {1211, 2292}, {1573, 2179}, {3122, 27714}, {3728, 21677}, {4695, 42437}, {5051, 21963}, {5233, 17748}, {10457, 10459}, {17420, 24457}, {21042, 72317}, {21678, 72593}, {27627, 72555}, {31359, 62585}, {37598, 72319}, {72532, 72550}

X(72592) = X(i)-Dao conjugate of X(j) for these {i, j}: {44417, 86}
X(72592) = X(i)-Ceva conjugate of X(j) for these {i, j}: {10459, 72532}
X(72592) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1211), X(60264)}}, {{A, B, C, X(2292), X(10457)}}, {{A, B, C, X(4918), X(56914)}}, {{A, B, C, X(10459), X(20653)}}
X(72592) = barycentric product X(i)*X(j) for these (i, j): {10, 72550}, {226, 72584}, {306, 72564}, {312, 72652}, {321, 72532}, {2292, 44417}, {10455, 21810}, {10459, 1211}
X(72592) = barycentric quotient X(i)/X(j) for these (i, j): {10457, 64457}, {10459, 14534}, {72532, 81}, {72550, 86}, {72564, 27}, {72584, 333}, {72652, 57}
X(72592) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {72550, 72584, 72532}

X(72593) = {X(10), X(72)}-CROSS-CONCEVIAN PERSPECTOR

X(72593) lies on these lines: {10, 158}, {12, 201}, {45, 71}, {2292, 21717}, {2632, 41393}, {2658, 18592}, {4055, 59305}, {4642, 21915}, {21678, 72592}, {21912, 21935}, {44706, 70376}, {58889, 72595}

X(72593) = X(i)-isoconjugate-of-X(j) for these {i, j}: {58, 53044}, {1437, 57669}
X(72593) = X(i)-Dao conjugate of X(j) for these {i, j}: {10, 53044}, {6708, 86}, {18592, 57779}
X(72593) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(158), X(1254)}}, {{A, B, C, X(201), X(318)}}, {{A, B, C, X(408), X(17555)}}, {{A, B, C, X(2052), X(6354)}}, {{A, B, C, X(40946), X(68765)}}
X(72593) = barycentric product X(i)*X(j) for these (i, j): {10, 18592}, {201, 6708}, {226, 72586}, {306, 58889}, {313, 72572}, {1231, 72615}, {2321, 72579}, {2654, 26942}, {2658, 321}, {3695, 72602}, {20336, 72595}, {40071, 72600}, {40946, 6358}, {52369, 72604}, {53036, 72}, {53317, 68130}
X(72593) = barycentric quotient X(i)/X(j) for these (i, j): {37, 53044}, {408, 1790}, {1826, 57669}, {2654, 46103}, {2658, 81}, {6708, 57779}, {18592, 86}, {40946, 2185}, {53036, 286}, {53317, 52919}, {58889, 27}, {72572, 58}, {72579, 1434}, {72586, 333}, {72595, 28}, {72600, 1474}, {72615, 1172}
X(72593) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {18592, 72586, 2658}

X(72594) = {X(19), X(4)}-CROSS-CONCEVIAN PERSPECTOR

X(72594) lies on these lines: {1, 19}, {4, 59261}, {169, 71305}, {429, 70176}, {430, 8013}, {607, 44097}, {756, 862}, {910, 42440}, {1827, 42446}, {1829, 40975}, {1839, 3686}, {1840, 70588}, {1848, 24603}, {1855, 5837}, {1869, 52577}, {1962, 2355}, {2292, 69240}, {2667, 40983}, {21816, 72599}, {21853, 21874}, {23668, 54416}, {40962, 40978}

X(72594) = reflection of X(i) in X(j) for these {i,j}: {71305, 169}
X(72594) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 57685}, {3, 32014}, {6, 57854}, {63, 40438}, {69, 1171}, {86, 1796}, {306, 52558}, {525, 6578}, {656, 62535}, {905, 4596}, {1126, 17206}, {1255, 1444}, {1268, 1790}, {1437, 32018}, {1459, 4632}, {4025, 4629}, {4558, 4608}, {4563, 50344}, {4592, 47947}, {6540, 7254}, {8701, 15419}, {37212, 69828}, {59194, 60729}
X(72594) = X(i)-Dao conjugate of X(j) for these {i, j}: {9, 57854}, {1125, 304}, {3120, 15413}, {3162, 40438}, {3647, 17206}, {5139, 47947}, {32664, 57685}, {35076, 69830}, {36103, 32014}, {40596, 62535}, {40600, 1796}
X(72594) = X(i)-Ceva conjugate of X(j) for these {i, j}: {19, 2355}, {1839, 430}, {2355, 72599}
X(72594) = X(i)-cross conjugate of X(j) for these {i, j}: {72606, 1962}
X(72594) = pole of line {1577, 4960} with respect to the polar circle
X(72594) = pole of line {46542, 54244} with respect to the Orthic inconic
X(72594) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(756)}}, {{A, B, C, X(28), X(430)}}, {{A, B, C, X(48), X(3958)}}, {{A, B, C, X(213), X(17746)}}, {{A, B, C, X(284), X(1334)}}, {{A, B, C, X(607), X(41502)}}, {{A, B, C, X(862), X(31900)}}, {{A, B, C, X(1213), X(2303)}}, {{A, B, C, X(1474), X(1839)}}, {{A, B, C, X(2360), X(72639)}}, {{A, B, C, X(6367), X(44661)}}, {{A, B, C, X(8663), X(42669)}}
X(72594) = barycentric product X(i)*X(j) for these (i, j): {1, 430}, {10, 2355}, {25, 4647}, {28, 8013}, {31, 44143}, {33, 3649}, {34, 4046}, {42, 56875}, {75, 72599}, {158, 22080}, {162, 6367}, {225, 3683}, {264, 72606}, {273, 72634}, {278, 72588}, {281, 72640}, {286, 72625}, {318, 72639}, {331, 72624}, {393, 3958}, {811, 8663}, {1096, 41014}, {1100, 1826}, {1125, 1824}, {1213, 19}, {1230, 1973}, {1783, 4988}, {1839, 37}, {1880, 3686}, {1897, 4983}, {1962, 4}, {1969, 72612}, {2052, 72628}, {2203, 52576}, {2308, 41013}, {2333, 4359}, {2489, 65161}, {2501, 35342}, {3064, 61170}, {3702, 57652}, {4115, 6591}, {20970, 92}, {21816, 27}, {24006, 35327}, {30591, 8750}, {30729, 55208}, {31900, 756}, {32636, 53008}, {40521, 46542}, {55206, 63782}, {69840, 7140}, {69842, 7649}
X(72594) = barycentric quotient X(i)/X(j) for these (i, j): {1, 57854}, {19, 32014}, {25, 40438}, {31, 57685}, {112, 62535}, {213, 1796}, {430, 75}, {1100, 17206}, {1213, 304}, {1230, 40364}, {1783, 4632}, {1824, 1268}, {1826, 32018}, {1839, 274}, {1962, 69}, {1973, 1171}, {2203, 52558}, {2308, 1444}, {2333, 1255}, {2355, 86}, {2489, 47947}, {3649, 7182}, {3683, 332}, {3958, 3926}, {4046, 3718}, {4427, 55202}, {4647, 305}, {4977, 69830}, {4979, 15419}, {4983, 4025}, {4988, 15413}, {6367, 14208}, {8013, 20336}, {8663, 656}, {8750, 4596}, {20970, 63}, {21816, 306}, {22080, 326}, {30729, 55207}, {31900, 873}, {32676, 6578}, {35327, 4592}, {35342, 4563}, {44143, 561}, {50512, 69828}, {56875, 310}, {61170, 65164}, {63782, 55205}, {65161, 52608}, {69842, 4561}, {72588, 345}, {72599, 1}, {72606, 3}, {72612, 48}, {72614, 32635}, {72624, 219}, {72625, 72}, {72628, 394}, {72634, 78}, {72639, 77}, {72640, 348}

X(72595) = {X(19), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72595) lies on these lines: {6, 42669}, {9, 49598}, {19, 158}, {37, 22300}, {71, 3753}, {92, 2282}, {181, 3725}, {198, 72628}, {573, 25081}, {579, 24174}, {798, 21131}, {1254, 1400}, {1474, 9406}, {1755, 1781}, {2173, 72603}, {2183, 2294}, {2264, 40955}, {2347, 2650}, {2658, 72604}, {2667, 72633}, {3588, 21808}, {4020, 54405}, {4269, 50198}, {5728, 18673}, {6708, 53036}, {9548, 58386}, {18697, 69029}, {20228, 72533}, {21921, 52087}, {23619, 66918}, {58889, 72593}, {72571, 72642}, {72600, 72615}

X(72595) = X(i)-isoconjugate-of-X(j) for these {i, j}: {63, 53044}, {394, 57669}, {577, 57834}
X(72595) = X(i)-Dao conjugate of X(j) for these {i, j}: {3162, 53044}, {6708, 304}, {18592, 28660}
X(72595) = X(i)-Ceva conjugate of X(j) for these {i, j}: {36127, 810}, {53036, 2658}, {58889, 72615}, {72602, 58889}, {72604, 72600}
X(72595) = intersection, other than A, B, C, of circumconics {{A, B, C, X(158), X(1254)}}, {{A, B, C, X(408), X(37383)}}, {{A, B, C, X(1400), X(8748)}}, {{A, B, C, X(1426), X(58889)}}, {{A, B, C, X(1880), X(6708)}}, {{A, B, C, X(6520), X(53036)}}, {{A, B, C, X(8898), X(18592)}}
X(72595) = barycentric product X(i)*X(j) for these (i, j): {1, 58889}, {7, 72615}, {10, 72604}, {28, 72593}, {33, 72579}, {34, 72586}, {37, 72602}, {75, 72600}, {158, 408}, {225, 40946}, {1400, 6708}, {2654, 65}, {2658, 4}, {18592, 19}, {42385, 73}, {53036, 6}, {53317, 656}, {72572, 92}
X(72595) = barycentric quotient X(i)/X(j) for these (i, j): {25, 53044}, {158, 57834}, {408, 326}, {1096, 57669}, {2654, 314}, {2658, 69}, {6708, 28660}, {18592, 304}, {40946, 332}, {42385, 44130}, {53036, 76}, {53317, 811}, {58889, 75}, {72572, 63}, {72579, 7182}, {72586, 3718}, {72593, 20336}, {72600, 1}, {72602, 274}, {72604, 86}, {72615, 8}
X(72595) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 42669, 72629}, {1400, 40977, 40978}

X(72596) = {X(19), X(33)}-CROSS-CONCEVIAN PERSPECTOR

X(72596) lies on these lines: {19, 57}, {25, 41}, {461, 7079}, {1200, 2355}, {1402, 14936}, {1827, 8012}, {1855, 4847}, {1860, 4196}, {1951, 16064}, {2178, 8608}, {2195, 2299}, {3011, 30677}, {3271, 20230}, {3741, 17911}, {4219, 9441}, {6353, 7719}, {17442, 21328}, {17904, 25453}, {17905, 33137}, {20229, 40983}, {40962, 40978}

X(72596) = perspector of circumconic {{A, B, C, X(8750), X(36118)}}
X(72596) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 40443}, {3, 31618}, {63, 21453}, {69, 1170}, {75, 1803}, {77, 32008}, {78, 10509}, {85, 47487}, {219, 42311}, {222, 57815}, {345, 61373}, {348, 2346}, {905, 6606}, {1174, 7182}, {1332, 65552}, {1444, 60229}, {4025, 65222}, {6516, 56322}, {6605, 7056}, {7053, 63239}, {7177, 56118}, {15413, 53243}, {15416, 65540}, {51664, 55281}, {57055, 65545}, {58322, 65164}, {62725, 65296}
X(72596) = X(i)-Dao conjugate of X(j) for these {i, j}: {142, 304}, {206, 1803}, {1212, 57918}, {3119, 35518}, {3162, 21453}, {23050, 63239}, {32664, 40443}, {36103, 31618}, {40606, 7182}, {65525, 6332}
X(72596) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1855, 2293}, {72601, 1827}
X(72596) = X(i)-cross conjugate of X(j) for these {i, j}: {72609, 2293}
X(72596) = pole of line {3239, 3261} with respect to the polar circle
X(72596) = pole of line {1803, 2327} with respect to the Stammler hyperbola
X(72596) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(1119)}}, {{A, B, C, X(41), X(57)}}, {{A, B, C, X(42), X(2195)}}, {{A, B, C, X(278), X(607)}}, {{A, B, C, X(354), X(37580)}}, {{A, B, C, X(1212), X(7365)}}, {{A, B, C, X(1418), X(4000)}}, {{A, B, C, X(1435), X(1973)}}, {{A, B, C, X(1855), X(2333)}}, {{A, B, C, X(2175), X(2350)}}, {{A, B, C, X(2200), X(52373)}}, {{A, B, C, X(2257), X(8551)}}, {{A, B, C, X(2299), X(2356)}}, {{A, B, C, X(2488), X(6186)}}, {{A, B, C, X(10581), X(34050)}}, {{A, B, C, X(17194), X(70529)}}
X(72596) = barycentric product X(i)*X(j) for these (i, j): {1, 1827}, {25, 4847}, {29, 52020}, {33, 354}, {37, 72601}, {108, 6608}, {142, 607}, {158, 22079}, {264, 72609}, {278, 8012}, {318, 72637}, {393, 72650}, {1172, 21808}, {1212, 19}, {1229, 1973}, {1253, 53237}, {1334, 53238}, {1418, 7079}, {1435, 45791}, {1475, 281}, {1783, 21127}, {1847, 8551}, {1855, 6}, {1857, 22053}, {1897, 2488}, {2293, 4}, {2299, 3925}, {2332, 52023}, {3059, 34}, {3064, 35326}, {6362, 8750}, {10481, 7071}, {10581, 653}, {16713, 2333}, {17169, 72614}, {17194, 1824}, {18344, 35338}, {20229, 92}, {20880, 2212}, {21039, 28}, {21795, 27}, {35341, 6591}, {36118, 6607}, {40983, 8}, {48151, 56183}, {51972, 608}, {61376, 7046}, {63203, 65103}
X(72596) = barycentric quotient X(i)/X(j) for these (i, j): {19, 31618}, {25, 21453}, {31, 40443}, {32, 1803}, {33, 57815}, {34, 42311}, {142, 57918}, {354, 7182}, {607, 32008}, {608, 10509}, {1212, 304}, {1229, 40364}, {1395, 61373}, {1475, 348}, {1827, 75}, {1855, 76}, {1973, 1170}, {2175, 47487}, {2212, 2346}, {2293, 69}, {2333, 60229}, {2488, 4025}, {3059, 3718}, {4847, 305}, {6608, 35518}, {7071, 56118}, {7079, 63239}, {8012, 345}, {8551, 3692}, {8750, 6606}, {10581, 6332}, {20229, 63}, {21039, 20336}, {21127, 15413}, {21795, 306}, {21808, 1231}, {22053, 7055}, {22079, 326}, {35326, 65164}, {40983, 7}, {45791, 52406}, {51972, 57919}, {52020, 307}, {61376, 7056}, {72601, 274}, {72609, 3}, {72614, 56157}, {72637, 77}, {72650, 3926}

X(72597) = {X(24), X(4)}-CROSS-CONCEVIAN PERSPECTOR

X(72597) lies on these lines: {3, 973}, {24, 52435}, {39, 72570}, {52, 3133}, {389, 23195}, {2917, 54034}, {3515, 11062}, {3518, 8154}, {3574, 31388}, {3575, 31976}, {6403, 15653}, {6746, 68741}, {8883, 58735}, {16030, 65094}, {16035, 44668}, {16391, 37489}, {32352, 42441}

X(72597) = X(i)-isoconjugate-of-X(j) for these {i, j}: {91, 65090}, {2168, 60241}
X(72597) = X(i)-Dao conjugate of X(j) for these {i, j}: {23292, 20563}, {32391, 96}, {34116, 65090}
X(72597) = X(i)-Ceva conjugate of X(j) for these {i, j}: {3575, 3574}, {41679, 52317}
X(72597) = pole of line {96, 60241} with respect to the Stammler hyperbola
X(72597) = intersection, other than A, B, C, of circumconics {{A, B, C, X(52), X(3574)}}, {{A, B, C, X(13367), X(52032)}}
X(72597) = barycentric product X(i)*X(j) for these (i, j): {1993, 3574}, {3575, 52032}, {11547, 31388}, {13367, 467}, {14576, 41008}, {17859, 2180}, {23292, 52}
X(72597) = barycentric quotient X(i)/X(j) for these (i, j): {52, 60241}, {571, 65090}, {3574, 5392}, {13367, 57875}, {14576, 14860}, {23292, 34385}, {31388, 52350}

X(72598) = {X(25), X(4)}-CROSS-CONCEVIAN PERSPECTOR

X(72598) lies on these lines: {3, 11387}, {4, 2896}, {25, 251}, {30, 26164}, {32, 3456}, {39, 1843}, {157, 3053}, {237, 32078}, {427, 65031}, {428, 7767}, {1176, 9918}, {2971, 51324}, {3060, 19597}, {3148, 61394}, {3398, 3518}, {5007, 44091}, {6292, 22078}, {6403, 48673}, {6756, 14978}, {9019, 22424}, {9917, 11188}, {9971, 15270}, {10301, 71402}, {10986, 38905}, {15564, 34484}, {20960, 23635}, {26177, 28664}, {34571, 44102}

X(72598) = X(i)-isoconjugate-of-X(j) for these {i, j}: {63, 40425}, {82, 57852}, {304, 57421}, {3112, 41435}, {10159, 34055}
X(72598) = X(i)-Dao conjugate of X(j) for these {i, j}: {141, 57852}, {3162, 40425}, {3589, 305}, {34452, 41435}, {39691, 3267}
X(72598) = X(i)-Ceva conjugate of X(j) for these {i, j}: {25, 44091}, {428, 46026}, {46026, 11205}
X(72598) = X(i)-cross conjugate of X(j) for these {i, j}: {72611, 11205}
X(72598) = pole of line {7809, 23285} with respect to the polar circle
X(72598) = pole of line {1799, 3933} with respect to the Stammler hyperbola
X(72598) = pole of line {41435, 60702} with respect to the Wallace hyperbola
X(72598) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(28666)}}, {{A, B, C, X(32), X(42052)}}, {{A, B, C, X(39), X(251)}}, {{A, B, C, X(428), X(27369)}}, {{A, B, C, X(1843), X(44091)}}, {{A, B, C, X(3589), X(30489)}}, {{A, B, C, X(7767), X(10547)}}, {{A, B, C, X(23642), X(42554)}}
X(72598) = barycentric product X(i)*X(j) for these (i, j): {25, 6292}, {32, 52787}, {39, 428}, {141, 44091}, {251, 28666}, {264, 72611}, {427, 5007}, {1474, 21038}, {1843, 3589}, {1973, 20898}, {1974, 42554}, {2489, 61219}, {3051, 44142}, {11205, 4}, {17193, 2333}, {17442, 17469}, {17457, 19}, {21126, 8750}, {21817, 28}, {22078, 393}, {22352, 27376}, {27369, 39998}, {35325, 7927}, {41676, 8664}, {46026, 6}, {61211, 68790}
X(72598) = barycentric quotient X(i)/X(j) for these (i, j): {25, 40425}, {39, 57852}, {428, 308}, {1843, 10159}, {1974, 57421}, {3051, 41435}, {5007, 1799}, {6292, 305}, {8664, 4580}, {11205, 69}, {17457, 304}, {20898, 40364}, {21038, 40071}, {21817, 20336}, {22078, 3926}, {27369, 3108}, {28666, 8024}, {35325, 35137}, {42554, 40050}, {44091, 83}, {44142, 40016}, {46026, 76}, {52787, 1502}, {61218, 7953}, {61219, 52608}, {72611, 3}
X(72598) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6292, 46026, 28666}

X(72599) = {X(25), X(19)}-CROSS-CONCEVIAN PERSPECTOR

X(72599) lies on these lines: {4, 48886}, {6, 25}, {19, 862}, {407, 54234}, {428, 49731}, {429, 1890}, {430, 1213}, {444, 28252}, {468, 6707}, {1500, 2333}, {1829, 15569}, {1889, 17259}, {1918, 21813}, {2092, 70553}, {2354, 42067}, {6353, 63014}, {8754, 42073}, {21816, 72594}, {40983, 72571}, {72624, 72625}

X(72599) = isogonal conjugate of X(57854)
X(72599) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 57854}, {63, 32014}, {69, 40438}, {75, 57685}, {274, 1796}, {304, 1171}, {525, 62535}, {905, 4632}, {1255, 17206}, {1268, 1444}, {1790, 32018}, {4025, 4596}, {4563, 47947}, {4592, 4608}, {4629, 15413}, {6540, 69828}, {6578, 14208}, {8701, 69830}, {15419, 37212}, {20336, 52558}, {50344, 55202}
X(72599) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 57854}, {206, 57685}, {1125, 305}, {3162, 32014}, {5139, 4608}
X(72599) = X(i)-Ceva conjugate of X(j) for these {i, j}: {430, 20970}, {2355, 72594}, {8750, 2489}
X(72599) = X(i)-cross conjugate of X(j) for these {i, j}: {72612, 20970}
X(72599) = pole of line {850, 4608} with respect to the polar circle
X(72599) = pole of line {69, 57685} with respect to the Stammler hyperbola
X(72599) = pole of line {305, 57854} with respect to the Wallace hyperbola
X(72599) = intersection, other than A, B, C, of circumconics {{A, B, C, X(6), X(1213)}}, {{A, B, C, X(25), X(430)}}, {{A, B, C, X(184), X(22080)}}, {{A, B, C, X(1194), X(1230)}}, {{A, B, C, X(1474), X(1839)}}, {{A, B, C, X(1495), X(8663)}}, {{A, B, C, X(1843), X(44143)}}, {{A, B, C, X(1962), X(44119)}}, {{A, B, C, X(2194), X(3683)}}, {{A, B, C, X(2203), X(2355)}}, {{A, B, C, X(2299), X(72614)}}, {{A, B, C, X(2393), X(6367)}}, {{A, B, C, X(8013), X(54426)}}, {{A, B, C, X(19459), X(41014)}}, {{A, B, C, X(35327), X(61213)}}
X(72599) = barycentric product X(i)*X(j) for these (i, j): {1, 72594}, {19, 1962}, {27, 72625}, {32, 44143}, {33, 72640}, {34, 72588}, {112, 6367}, {158, 72628}, {213, 56875}, {264, 72612}, {273, 72624}, {278, 72634}, {281, 72639}, {430, 6}, {553, 72614}, {648, 8663}, {1096, 3958}, {1100, 1824}, {1125, 2333}, {1213, 25}, {1230, 1974}, {1474, 8013}, {1500, 31900}, {1783, 4983}, {1826, 2308}, {1839, 42}, {1880, 3683}, {1973, 4647}, {2207, 41014}, {2355, 37}, {2489, 4427}, {2501, 35327}, {3649, 607}, {3686, 57652}, {4046, 608}, {4988, 8750}, {6591, 69842}, {18344, 61170}, {20970, 4}, {21816, 28}, {22080, 393}, {32085, 72621}, {44105, 63910}, {51417, 57260}, {55206, 61225}, {72606, 92}
X(72599) = barycentric quotient X(i)/X(j) for these (i, j): {6, 57854}, {25, 32014}, {32, 57685}, {430, 76}, {1213, 305}, {1230, 40050}, {1824, 32018}, {1839, 310}, {1918, 1796}, {1962, 304}, {1973, 40438}, {1974, 1171}, {2308, 17206}, {2333, 1268}, {2355, 274}, {2489, 4608}, {3649, 57918}, {4046, 57919}, {4427, 52608}, {4647, 40364}, {4979, 69830}, {4983, 15413}, {6367, 3267}, {8013, 40071}, {8663, 525}, {8750, 4632}, {20970, 69}, {21816, 20336}, {22080, 3926}, {32676, 62535}, {35327, 4563}, {35342, 55202}, {41014, 70249}, {44143, 1502}, {50512, 15419}, {56875, 6385}, {57204, 50344}, {61206, 6578}, {61225, 55205}, {72588, 3718}, {72594, 75}, {72606, 63}, {72612, 3}, {72614, 4102}, {72621, 3933}, {72624, 78}, {72625, 306}, {72628, 326}, {72634, 345}, {72639, 348}, {72640, 7182}
X(72599) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {19, 862, 72562}, {25, 44103, 1843}

X(72600) = {X(25), X(31)}-CROSS-CONCEVIAN PERSPECTOR

X(72600) lies on these lines: {25, 393}, {31, 44112}, {42, 40954}, {55, 22369}, {86, 50423}, {408, 2654}, {497, 851}, {859, 64167}, {1011, 63055}, {1211, 68760}, {1213, 15621}, {1402, 40934}, {1495, 72605}, {1834, 23383}, {2178, 23218}, {2203, 9407}, {4199, 23853}, {4204, 64752}, {17056, 18613}, {17747, 23398}, {20775, 37538}, {20975, 44092}, {21753, 72623}, {22062, 59353}, {23212, 37580}, {28348, 37642}, {72595, 72615}

X(72600) = X(i)-isoconjugate-of-X(j) for these {i, j}: {69, 53044}, {255, 57834}, {326, 57669}
X(72600) = X(i)-Dao conjugate of X(j) for these {i, j}: {6523, 57834}, {6708, 305}, {15259, 57669}, {18592, 40072}
X(72600) = X(i)-Ceva conjugate of X(j) for these {i, j}: {58889, 72572}, {72604, 72595}
X(72600) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(408)}}, {{A, B, C, X(393), X(18592)}}, {{A, B, C, X(1402), X(40946)}}, {{A, B, C, X(2654), X(57652)}}, {{A, B, C, X(6524), X(58889)}}
X(72600) = barycentric product X(i)*X(j) for these (i, j): {1, 72595}, {4, 72572}, {19, 2658}, {31, 53036}, {37, 72604}, {42, 72602}, {57, 72615}, {393, 408}, {607, 72579}, {608, 72586}, {1400, 2654}, {1402, 6708}, {1409, 42385}, {1474, 72593}, {1880, 40946}, {18592, 25}, {53317, 647}, {58889, 6}
X(72600) = barycentric quotient X(i)/X(j) for these (i, j): {393, 57834}, {408, 3926}, {1973, 53044}, {2207, 57669}, {2654, 28660}, {2658, 304}, {6708, 40072}, {18592, 305}, {53036, 561}, {53317, 6331}, {58889, 76}, {72572, 69}, {72579, 57918}, {72586, 57919}, {72593, 40071}, {72595, 75}, {72602, 310}, {72604, 274}, {72615, 312}

X(72601) = {X(27), X(29)}-CROSS-CONCEVIAN PERSPECTOR

X(72601) lies on these lines: {1, 19}, {4, 4253}, {6, 37387}, {27, 1088}, {29, 7079}, {33, 37908}, {1212, 1827}, {1396, 63459}, {1593, 36743}, {1831, 2170}, {1839, 2260}, {1848, 68947}, {1855, 4847}, {2082, 2194}, {3333, 31900}, {4251, 36009}, {4258, 17523}, {4278, 7431}, {7719, 37168}, {10481, 18164}, {12704, 14964}, {18206, 31926}, {31922, 40975}, {45751, 56875}

X(72601) = X(i)-isoconjugate-of-X(j) for these {i, j}: {3, 60229}, {10, 1803}, {37, 40443}, {71, 21453}, {72, 1170}, {73, 32008}, {77, 56255}, {222, 56157}, {226, 47487}, {228, 31618}, {307, 1174}, {525, 53243}, {603, 56127}, {647, 6606}, {656, 65222}, {1214, 2346}, {1409, 57815}, {1410, 63239}, {1439, 6605}, {2318, 10509}, {3694, 61373}, {4574, 65552}, {10482, 56382}, {23067, 56322}, {42311, 52370}, {52373, 56118}, {52610, 62725}, {55234, 55281}, {58322, 65233}
X(72601) = X(i)-Dao conjugate of X(j) for these {i, j}: {142, 306}, {1212, 1231}, {3119, 52355}, {7952, 56127}, {36103, 60229}, {39052, 6606}, {40589, 40443}, {40596, 65222}, {40606, 307}, {65525, 8611}
X(72601) = X(i)-Ceva conjugate of X(j) for these {i, j}: {27, 53238}
X(72601) = pole of line {1577, 4171} with respect to the polar circle
X(72601) = pole of line {63, 1802} with respect to the Stammler hyperbola
X(72601) = pole of line {304, 3692} with respect to the Wallace hyperbola
X(72601) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(354)}}, {{A, B, C, X(19), X(1827)}}, {{A, B, C, X(27), X(2332)}}, {{A, B, C, X(48), X(1475)}}, {{A, B, C, X(142), X(54405)}}, {{A, B, C, X(270), X(54407)}}, {{A, B, C, X(284), X(1434)}}, {{A, B, C, X(380), X(3059)}}, {{A, B, C, X(610), X(1418)}}, {{A, B, C, X(1172), X(53238)}}, {{A, B, C, X(1435), X(1973)}}, {{A, B, C, X(2173), X(21127)}}, {{A, B, C, X(2194), X(39950)}}, {{A, B, C, X(2294), X(21808)}}, {{A, B, C, X(2303), X(16713)}}, {{A, B, C, X(2304), X(20229)}}, {{A, B, C, X(2488), X(42669)}}, {{A, B, C, X(6362), X(44661)}}, {{A, B, C, X(19790), X(45791)}}, {{A, B, C, X(53237), X(55105)}}
X(72601) = barycentric product X(i)*X(j) for these (i, j): {28, 4847}, {29, 354}, {162, 6362}, {270, 3925}, {274, 72596}, {314, 40983}, {1172, 142}, {1212, 27}, {1229, 1474}, {1233, 2204}, {1396, 51972}, {1418, 2322}, {1475, 31623}, {1827, 86}, {1855, 81}, {1896, 22053}, {2212, 53236}, {2293, 286}, {2326, 52023}, {2328, 53237}, {2332, 59181}, {2488, 811}, {10481, 4183}, {16708, 607}, {16713, 19}, {17169, 33}, {17194, 4}, {17925, 35341}, {17926, 63203}, {18164, 281}, {20229, 44129}, {20880, 2299}, {21104, 65201}, {21127, 648}, {21808, 46103}, {35326, 57215}, {36797, 48151}, {44130, 72637}, {52020, 57779}, {52914, 55282}, {53238, 9}, {57200, 65198}, {57796, 72609}
X(72601) = barycentric quotient X(i)/X(j) for these (i, j): {19, 60229}, {27, 31618}, {28, 21453}, {29, 57815}, {33, 56157}, {58, 40443}, {112, 65222}, {142, 1231}, {162, 6606}, {281, 56127}, {354, 307}, {607, 56255}, {1172, 32008}, {1212, 306}, {1229, 40071}, {1333, 1803}, {1396, 10509}, {1418, 56382}, {1474, 1170}, {1475, 1214}, {1827, 10}, {1855, 321}, {2194, 47487}, {2204, 1174}, {2293, 72}, {2299, 2346}, {2322, 63239}, {2332, 6605}, {2488, 656}, {3059, 3710}, {3925, 57807}, {4183, 56118}, {4847, 20336}, {6362, 14208}, {6608, 52355}, {8012, 3694}, {10581, 8611}, {16708, 57918}, {16713, 304}, {17169, 7182}, {17194, 69}, {18164, 348}, {20229, 71}, {21039, 3695}, {21127, 525}, {21795, 3949}, {21808, 26942}, {22053, 52385}, {22079, 3682}, {32676, 53243}, {35326, 65233}, {35341, 52609}, {40983, 65}, {48151, 17094}, {52020, 201}, {52914, 55281}, {53238, 85}, {57200, 65552}, {61376, 1439}, {72596, 37}, {72609, 228}, {72637, 73}, {72650, 3998}
X(72601) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {28, 1172, 2332}, {1172, 46884, 19}

X(72602) = {X(27), X(81)}-CROSS-CONCEVIAN PERSPECTOR

X(72602) lies on these lines: {1, 37264}, {2, 71}, {11, 71311}, {19, 57}, {27, 72603}, {38, 43214}, {40, 631}, {48, 11347}, {51, 2635}, {55, 750}, {63, 9816}, {65, 1193}, {88, 26747}, {142, 1764}, {171, 41230}, {209, 899}, {226, 1730}, {239, 24522}, {244, 40959}, {354, 3198}, {408, 2654}, {573, 25525}, {603, 54394}, {672, 72241}, {851, 14547}, {942, 18673}, {946, 1715}, {957, 2093}, {982, 69812}, {1086, 61412}, {1210, 1869}, {1214, 1953}, {1254, 44545}, {1400, 3772}, {1418, 61671}, {1427, 2262}, {1451, 4185}, {1465, 37755}, {1754, 51687}, {1762, 3218}, {1782, 3336}, {1802, 37272}, {1817, 22054}, {1818, 16056}, {1842, 4292}, {1848, 4466}, {1855, 20205}, {1859, 7004}, {2252, 70671}, {2264, 51645}, {2269, 17056}, {2294, 3666}, {2357, 17728}, {2550, 3741}, {3007, 3101}, {3075, 41227}, {3125, 64654}, {3185, 42289}, {3189, 35633}, {3306, 6349}, {3664, 18163}, {3682, 16415}, {3779, 59308}, {3783, 25999}, {3817, 33536}, {3824, 48882}, {3911, 41342}, {3912, 29474}, {3925, 30970}, {4224, 20780}, {4303, 18180}, {4416, 29788}, {5221, 32065}, {5228, 15509}, {5249, 22097}, {5435, 68947}, {5712, 54373}, {5737, 56509}, {5745, 17050}, {6678, 70670}, {6708, 53036}, {6911, 53815}, {7291, 18633}, {9895, 56839}, {10536, 26889}, {11375, 28270}, {11428, 26884}, {11471, 67880}, {13478, 14377}, {14829, 35517}, {16054, 22065}, {16602, 21866}, {16608, 19542}, {17209, 52361}, {17278, 28272}, {17784, 29824}, {17810, 64152}, {19350, 52424}, {19541, 63434}, {19744, 59207}, {20967, 39793}, {21363, 58463}, {21801, 25091}, {22060, 61643}, {22066, 37274}, {22088, 24604}, {22356, 62798}, {24789, 28274}, {26130, 37419}, {28352, 37567}, {28353, 28360}, {29552, 30567}, {36570, 69242}, {37595, 65416}, {37695, 40152}, {40937, 72648}, {40955, 40975}, {40980, 72644}, {51410, 55010}, {59173, 65688}, {61325, 70256}, {64117, 64536}

X(72602) = X(i)-isoconjugate-of-X(j) for these {i, j}: {71, 53044}, {3990, 57669}
X(72602) = X(i)-Dao conjugate of X(j) for these {i, j}: {6708, 306}, {18592, 312}
X(72602) = X(i)-cross conjugate of X(j) for these {i, j}: {72595, 72604}
X(72602) = pole of line {652, 28225} with respect to the Bevan circle
X(72602) = pole of line {49478, 58906} with respect to the Feuerbach hyperbola
X(72602) = pole of line {21172, 28623} with respect to the Steiner inellipse
X(72602) = pole of line {6589, 45755} with respect to the Hofstadter ellipse
X(72602) = pole of line {4, 386} with respect to the dual conic of Yff parabola
X(72602) = intersection, other than A, B, C, of circumconics {{A, B, C, X(19), X(60817)}}, {{A, B, C, X(27), X(408)}}, {{A, B, C, X(57), X(40946)}}, {{A, B, C, X(71), X(72572)}}, {{A, B, C, X(196), X(42385)}}, {{A, B, C, X(278), X(2654)}}, {{A, B, C, X(1119), X(1246)}}, {{A, B, C, X(3668), X(18592)}}, {{A, B, C, X(26934), X(63187)}}, {{A, B, C, X(53036), X(58889)}}
X(72602) = barycentric product X(i)*X(j) for these (i, j): {29, 72579}, {57, 6708}, {75, 72604}, {273, 40946}, {274, 72595}, {310, 72600}, {2654, 7}, {2658, 286}, {4025, 53317}, {18592, 27}, {42385, 77}, {44129, 72572}, {53036, 81}, {57785, 72615}, {58889, 86}
X(72602) = barycentric quotient X(i)/X(j) for these (i, j): {28, 53044}, {408, 3682}, {2654, 8}, {2658, 72}, {6708, 312}, {8747, 57669}, {18592, 306}, {40946, 78}, {42385, 318}, {53036, 321}, {53317, 1897}, {58889, 10}, {72572, 71}, {72579, 307}, {72586, 3710}, {72593, 3695}, {72595, 37}, {72600, 42}, {72604, 1}, {72615, 210}
X(72602) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 24310, 71}, {19, 57, 26934}, {57, 278, 52373}, {57, 40940, 2260}, {63, 9816, 54324}, {226, 1730, 2183}, {11347, 37543, 48}, {20470, 68674, 3720}, {58889, 72604, 2654}

X(72603) = {X(27), X(86)}-CROSS-CONCEVIAN PERSPECTOR

X(72603) lies on these lines: {6, 10457}, {9, 14964}, {19, 40979}, {21, 71}, {27, 72602}, {31, 18610}, {48, 859}, {51, 216}, {57, 59186}, {58, 1474}, {81, 18162}, {86, 17209}, {237, 40954}, {284, 2183}, {511, 22073}, {573, 6875}, {579, 52680}, {603, 46890}, {649, 2160}, {1108, 18191}, {1122, 16726}, {1333, 1400}, {1393, 72643}, {1396, 52373}, {1755, 2294}, {1818, 36015}, {1953, 2179}, {2173, 72595}, {2252, 37227}, {2333, 5358}, {2347, 4273}, {4215, 14547}, {4225, 22054}, {4466, 17171}, {5208, 20785}, {7419, 22356}, {11110, 22065}, {13323, 57704}, {13478, 68567}, {14597, 72604}, {15656, 37113}, {17187, 67961}, {17560, 72650}, {18161, 69071}, {20028, 26856}, {20459, 62692}, {22066, 37442}, {23443, 69068}, {28266, 54417}, {36011, 70670}, {37260, 44101}, {40937, 64544}

X(72603) = isogonal conjugate of X(56246)
X(72603) = perspector of circumconic {{A, B, C, X(1625), X(2617)}}
X(72603) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 56246}, {2, 56254}, {6, 56189}, {10, 2167}, {37, 95}, {42, 62276}, {54, 321}, {71, 40440}, {72, 275}, {96, 42700}, {97, 41013}, {100, 15412}, {190, 2616}, {213, 34384}, {226, 44687}, {228, 276}, {306, 2190}, {313, 2148}, {668, 2623}, {1141, 42701}, {1332, 66300}, {1446, 62265}, {1783, 62428}, {1824, 34386}, {1826, 62277}, {3954, 39287}, {3990, 8795}, {3998, 8884}, {4036, 18315}, {4053, 39277}, {4064, 65221}, {4553, 39182}, {4567, 8901}, {5360, 70898}, {5379, 53576}, {6335, 23286}, {6358, 35196}, {8882, 20336}, {16030, 56186}, {16813, 57109}, {18831, 55232}, {21814, 41488}, {26941, 56227}, {27801, 54034}, {36134, 52623}, {40071, 62268}, {42300, 60723}, {42703, 70897}, {50487, 55218}
X(72603) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 56246}, {5, 306}, {9, 56189}, {137, 52623}, {216, 313}, {2972, 68130}, {6626, 34384}, {8054, 15412}, {15450, 4064}, {32664, 56254}, {39006, 62428}, {40588, 10}, {40589, 95}, {40592, 62276}, {40627, 8901}, {52032, 40071}, {52878, 69592}, {55053, 2616}, {63463, 4024}
X(72603) = X(i)-Ceva conjugate of X(j) for these {i, j}: {17167, 44709}, {52919, 1459}
X(72603) = X(i)-cross conjugate of X(j) for these {i, j}: {51, 18180}, {2179, 72605}
X(72603) = pole of line {24082, 52623} with respect to the polar circle
X(72603) = pole of line {12071, 12077} with respect to the Brocard inellipse
X(72603) = pole of line {95, 306} with respect to the Stammler hyperbola
X(72603) = pole of line {19811, 34384} with respect to the Wallace hyperbola
X(72603) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(27), X(418)}}, {{A, B, C, X(51), X(1474)}}, {{A, B, C, X(58), X(216)}}, {{A, B, C, X(86), X(59208)}}, {{A, B, C, X(649), X(2290)}}, {{A, B, C, X(1400), X(52413)}}, {{A, B, C, X(1415), X(2160)}}, {{A, B, C, X(1790), X(26907)}}, {{A, B, C, X(2179), X(40981)}}, {{A, B, C, X(2180), X(2206)}}, {{A, B, C, X(2189), X(34079)}}, {{A, B, C, X(2354), X(21011)}}, {{A, B, C, X(18180), X(52150)}}
X(72603) = barycentric product X(i)*X(j) for these (i, j): {1, 18180}, {4, 44709}, {5, 58}, {28, 44706}, {29, 30493}, {51, 86}, {75, 72605}, {110, 21102}, {143, 68494}, {216, 27}, {217, 44129}, {286, 62266}, {310, 40981}, {314, 72616}, {1014, 7069}, {1154, 68483}, {1172, 44708}, {1333, 14213}, {1393, 21}, {1444, 2181}, {1459, 35360}, {1474, 343}, {1625, 514}, {1790, 53}, {1953, 81}, {2179, 274}, {2180, 66954}, {2206, 311}, {2290, 66922}, {2617, 513}, {3261, 61194}, {4025, 52604}, {4091, 61193}, {4610, 55219}, {5562, 8747}, {5891, 69465}, {10566, 35319}, {11125, 36831}, {12077, 4556}, {14570, 649}, {16697, 19}, {17167, 6}, {17168, 59142}, {17186, 60515}, {17187, 17500}, {17206, 3199}, {17209, 60517}, {17434, 52919}, {18695, 2203}, {21011, 593}, {21807, 757}, {23181, 7649}, {31623, 72643}, {35194, 52375}, {35196, 41279}, {35363, 4243}, {44698, 8798}, {44715, 52954}, {52394, 72569}, {52926, 69391}, {55229, 65485}, {57785, 72613}, {59208, 60679}, {66745, 69943}
X(72603) = barycentric quotient X(i)/X(j) for these (i, j): {1, 56189}, {5, 313}, {6, 56246}, {27, 276}, {28, 40440}, {31, 56254}, {51, 10}, {58, 95}, {81, 62276}, {86, 34384}, {216, 306}, {217, 71}, {343, 40071}, {418, 3682}, {649, 15412}, {667, 2616}, {1333, 2167}, {1393, 1441}, {1437, 62277}, {1459, 62428}, {1474, 275}, {1625, 190}, {1790, 34386}, {1919, 2623}, {1953, 321}, {2179, 37}, {2180, 42700}, {2181, 41013}, {2194, 44687}, {2203, 2190}, {2206, 54}, {2290, 42701}, {2617, 668}, {3122, 8901}, {3199, 1826}, {4091, 15414}, {4610, 55218}, {5562, 52396}, {7069, 3701}, {8747, 8795}, {12077, 52623}, {14213, 27801}, {14570, 1978}, {15451, 4064}, {16697, 304}, {17167, 76}, {17434, 68130}, {17500, 56251}, {18180, 75}, {21011, 28654}, {21102, 850}, {21807, 1089}, {23181, 4561}, {27374, 21035}, {30493, 307}, {35319, 4568}, {40981, 42}, {44088, 4055}, {44129, 57790}, {44706, 20336}, {44707, 3710}, {44708, 1231}, {44709, 69}, {52394, 41488}, {52604, 1897}, {52919, 42405}, {52954, 43752}, {52967, 69592}, {55219, 4024}, {59208, 60737}, {61194, 101}, {61346, 2333}, {62260, 21011}, {62266, 72}, {65485, 55230}, {68483, 46138}, {68494, 57765}, {72569, 15523}, {72570, 21012}, {72591, 3694}, {72605, 1}, {72613, 210}, {72616, 65}, {72618, 3949}, {72643, 1214}
X(72603) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {21, 4269, 71}, {859, 46882, 48}

X(72604) = {X(28), X(58)}-CROSS-CONCEVIAN PERSPECTOR

X(72604) lies on these lines: {1, 228}, {3, 3306}, {7, 28376}, {9, 68700}, {11, 407}, {21, 22060}, {25, 34}, {28, 69820}, {36, 3145}, {41, 2242}, {51, 73}, {57, 22344}, {58, 26884}, {63, 28383}, {65, 23383}, {72, 4245}, {142, 47521}, {184, 1451}, {198, 1100}, {226, 13724}, {354, 23361}, {388, 37367}, {404, 27002}, {408, 2654}, {580, 23202}, {667, 29336}, {851, 950}, {855, 4292}, {859, 942}, {938, 27621}, {946, 13734}, {958, 68699}, {999, 13737}, {1011, 5436}, {1042, 42448}, {1066, 16980}, {1107, 40131}, {1125, 37225}, {1193, 40952}, {1201, 1400}, {1210, 27622}, {1319, 69994}, {1385, 7420}, {1393, 68764}, {1402, 3924}, {1425, 1457}, {1464, 42450}, {1468, 5320}, {1473, 37260}, {1829, 18210}, {2198, 3230}, {2260, 44093}, {2360, 23201}, {2594, 58493}, {2646, 20470}, {2650, 20967}, {2658, 72595}, {2975, 4223}, {3057, 18613}, {3086, 37384}, {3218, 7419}, {3271, 72638}, {3338, 15654}, {3419, 16415}, {3468, 5563}, {3487, 19256}, {3488, 37264}, {3560, 63439}, {3601, 4191}, {3616, 37620}, {3698, 15621}, {3868, 19245}, {3876, 19291}, {3911, 28349}, {4185, 57278}, {4220, 5253}, {4293, 28076}, {4306, 26892}, {4313, 37262}, {4654, 28382}, {4855, 16059}, {5044, 19241}, {5121, 27657}, {5249, 9840}, {5262, 27652}, {5285, 37247}, {5440, 16414}, {5708, 23206}, {5836, 68760}, {6186, 8615}, {6734, 28258}, {7085, 37244}, {7292, 7449}, {7428, 23205}, {8758, 44545}, {10448, 33718}, {10571, 45963}, {10582, 10882}, {11115, 27017}, {11365, 59317}, {11520, 20760}, {12114, 37387}, {12649, 27655}, {13411, 28238}, {13733, 51687}, {14547, 72559}, {14597, 72603}, {15803, 22376}, {15933, 27654}, {16056, 57287}, {16453, 24929}, {17516, 64152}, {19251, 64664}, {19310, 22449}, {19860, 23853}, {21214, 27659}, {21319, 63274}, {22458, 24473}, {22753, 37194}, {22770, 26935}, {23220, 30691}, {23224, 42750}, {23675, 28386}, {24470, 68691}, {25253, 33845}, {25524, 29826}, {26927, 37252}, {33849, 57283}, {37080, 54327}, {37248, 37581}, {37249, 37547}, {37259, 37583}, {37301, 69739}, {37609, 62802}, {40955, 42669}, {41401, 55086}, {42385, 53317}, {44840, 64753}, {64673, 64752}

X(72604) = X(i)-isoconjugate-of-X(j) for these {i, j}: {72, 53044}, {3682, 57669}, {4055, 57834}
X(72604) = X(i)-Dao conjugate of X(j) for these {i, j}: {6708, 20336}, {18592, 3596}
X(72604) = X(i)-cross conjugate of X(j) for these {i, j}: {72595, 72602}
X(72604) = pole of line {6129, 48297} with respect to the circumcircle
X(72604) = pole of line {4397, 57109} with respect to the polar circle
X(72604) = intersection, other than A, B, C, of circumconics {{A, B, C, X(28), X(408)}}, {{A, B, C, X(34), X(2654)}}, {{A, B, C, X(56), X(40946)}}, {{A, B, C, X(1426), X(58889)}}, {{A, B, C, X(1427), X(2658)}}, {{A, B, C, X(1875), X(42385)}}
X(72604) = barycentric product X(i)*X(j) for these (i, j): {1, 72602}, {56, 6708}, {86, 72595}, {222, 42385}, {274, 72600}, {278, 40946}, {286, 72572}, {1172, 72579}, {1396, 72586}, {1434, 72615}, {2654, 57}, {2658, 27}, {18592, 28}, {53036, 58}, {53317, 905}, {58889, 81}
X(72604) = barycentric quotient X(i)/X(j) for these (i, j): {408, 3998}, {1474, 53044}, {2654, 312}, {2658, 306}, {5317, 57669}, {6708, 3596}, {18592, 20336}, {40946, 345}, {42385, 7017}, {53036, 313}, {53317, 6335}, {58889, 321}, {72572, 72}, {72579, 1231}, {72593, 52369}, {72595, 10}, {72600, 37}, {72602, 75}, {72615, 2321}
X(72604) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 13738, 228}, {34, 56, 1410}, {56, 1104, 40956}, {859, 942, 22345}, {2654, 72602, 58889}

X(72605) = {X(28), X(81)}-CROSS-CONCEVIAN PERSPECTOR

X(72605) lies on these lines: {21, 27064}, {28, 69820}, {51, 216}, {57, 46513}, {58, 22344}, {228, 284}, {237, 40952}, {511, 22420}, {667, 6186}, {1333, 2203}, {1402, 2206}, {1474, 23204}, {1495, 72600}, {2179, 62266}, {2260, 23197}, {2352, 3285}, {14964, 26893}, {16697, 18180}, {16717, 52535}, {18175, 18609}, {18210, 18603}, {22060, 27174}, {22449, 68712}, {23199, 37993}, {26892, 69063}, {72616, 72643}

X(72605) = isogonal conjugate of X(56189)
X(72605) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 56189}, {2, 56246}, {10, 95}, {37, 62276}, {42, 34384}, {54, 313}, {71, 276}, {72, 40440}, {75, 56254}, {190, 15412}, {275, 306}, {321, 2167}, {668, 2616}, {1441, 44687}, {1826, 34386}, {1897, 62428}, {1978, 2623}, {2148, 27801}, {2190, 20336}, {2200, 57790}, {3682, 8795}, {4055, 57844}, {4064, 18831}, {4079, 55218}, {4561, 66300}, {4568, 39182}, {4600, 8901}, {8882, 40071}, {8884, 52396}, {15523, 39287}, {16030, 56251}, {16813, 68130}, {18315, 52623}, {21012, 31617}, {21035, 41488}, {34388, 35196}, {41013, 62277}, {42300, 60737}, {69592, 70898}
X(72605) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 56189}, {5, 20336}, {130, 57109}, {206, 56254}, {216, 27801}, {2972, 68110}, {32664, 56246}, {34467, 62428}, {40588, 321}, {40589, 62276}, {40592, 34384}, {50497, 8901}, {52878, 69593}, {55053, 15412}, {63463, 4036}
X(72605) = X(i)-Ceva conjugate of X(j) for these {i, j}: {52920, 22383}
X(72605) = X(i)-cross conjugate of X(j) for these {i, j}: {2179, 72603}
X(72605) = pole of line {95, 7523} with respect to the Stammler hyperbola
X(72605) = pole of line {34384, 42711} with respect to the Wallace hyperbola
X(72605) = intersection, other than A, B, C, of circumconics {{A, B, C, X(28), X(418)}}, {{A, B, C, X(51), X(2179)}}, {{A, B, C, X(81), X(59208)}}, {{A, B, C, X(216), X(1333)}}, {{A, B, C, X(1437), X(26907)}}, {{A, B, C, X(61378), X(62263)}}
X(72605) = barycentric product X(i)*X(j) for these (i, j): {1, 72603}, {19, 44709}, {27, 62266}, {29, 72643}, {51, 81}, {163, 21102}, {216, 28}, {217, 286}, {274, 40981}, {333, 72616}, {1172, 30493}, {1333, 5}, {1393, 284}, {1396, 44707}, {1412, 7069}, {1434, 72613}, {1437, 53}, {1444, 3199}, {1474, 44706}, {1625, 513}, {1790, 2181}, {1953, 58}, {2179, 86}, {2203, 343}, {2290, 68483}, {2299, 44708}, {2617, 649}, {5317, 5562}, {5891, 69466}, {14213, 2206}, {14399, 36831}, {14569, 18604}, {14570, 667}, {16697, 25}, {17167, 31}, {17434, 52920}, {18108, 35319}, {18180, 6}, {21011, 849}, {21807, 593}, {22383, 35360}, {23181, 6591}, {23224, 61193}, {44715, 52955}, {52376, 72569}, {52604, 905}, {52935, 55219}, {55231, 65485}, {61194, 693}
X(72605) = barycentric quotient X(i)/X(j) for these (i, j): {5, 27801}, {6, 56189}, {28, 276}, {31, 56246}, {32, 56254}, {51, 321}, {58, 62276}, {81, 34384}, {216, 20336}, {217, 72}, {286, 57790}, {418, 3998}, {667, 15412}, {1333, 95}, {1393, 349}, {1437, 34386}, {1474, 40440}, {1625, 668}, {1919, 2616}, {1953, 313}, {1980, 2623}, {2179, 10}, {2203, 275}, {2206, 2167}, {2617, 1978}, {3121, 8901}, {3199, 41013}, {5317, 8795}, {7069, 30713}, {14570, 6386}, {16697, 305}, {17167, 561}, {17434, 68110}, {18180, 76}, {21102, 20948}, {21807, 28654}, {22383, 62428}, {23224, 15414}, {27374, 3954}, {30493, 1231}, {40981, 37}, {42293, 57109}, {44088, 3990}, {44706, 40071}, {44709, 304}, {52376, 41488}, {52604, 6335}, {52920, 42405}, {52935, 55218}, {52955, 43752}, {52967, 69593}, {55219, 4036}, {57657, 44687}, {59208, 42711}, {61194, 100}, {61346, 1824}, {61378, 42698}, {62266, 306}, {65485, 55232}, {72591, 3710}, {72603, 75}, {72613, 2321}, {72616, 226}, {72618, 3695}, {72643, 307}
X(72605) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {284, 4215, 228}

X(72606) = {X(31), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72606) lies on these lines: {1, 39737}, {6, 2667}, {31, 48}, {42, 28625}, {44, 3728}, {58, 68997}, {86, 40749}, {213, 872}, {238, 71672}, {579, 46905}, {595, 72253}, {692, 28615}, {714, 17350}, {740, 3759}, {896, 16696}, {1100, 1962}, {1191, 72533}, {1279, 2650}, {1386, 2292}, {2175, 40370}, {2234, 27644}, {2295, 69550}, {2300, 3248}, {2643, 40977}, {3122, 72571}, {3758, 25124}, {3768, 5027}, {4016, 70872}, {4065, 4991}, {4093, 21764}, {4647, 4974}, {4672, 70472}, {4697, 16709}, {5165, 63497}, {5315, 8625}, {5625, 69840}, {7262, 58391}, {9459, 40986}, {10180, 17394}, {16669, 44671}, {16685, 20985}, {16690, 71655}, {17348, 21020}, {17379, 58396}, {17393, 58400}, {17445, 62813}, {17469, 56537}, {20970, 72625}, {21238, 70720}, {21747, 63504}, {22174, 69563}, {22271, 71496}, {23650, 53272}, {23928, 53037}, {25295, 71635}, {28639, 53034}, {46195, 60697}, {54981, 68987}, {72612, 72624}, {72629, 72637}

X(72606) = perspector of circumconic {{A, B, C, X(163), X(28841)}}
X(72606) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 32014}, {4, 57854}, {75, 40438}, {76, 1171}, {81, 32018}, {86, 1268}, {99, 4608}, {264, 57685}, {274, 1255}, {310, 1126}, {313, 52558}, {514, 4632}, {670, 50344}, {693, 4596}, {799, 47947}, {850, 6578}, {1434, 4102}, {1509, 6539}, {1577, 62535}, {1796, 44129}, {3261, 4629}, {4610, 31010}, {6385, 28615}, {6538, 6628}, {6540, 7192}, {7199, 37212}, {8701, 52619}, {30593, 30594}, {32635, 57785}, {33939, 65048}, {34016, 60139}, {52612, 58294}, {59194, 60719}
X(72606) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 40438}, {1125, 561}, {1213, 6385}, {3120, 40495}, {3647, 310}, {32664, 32014}, {36033, 57854}, {38986, 4608}, {38996, 47947}, {40586, 32018}, {40600, 1268}, {59592, 40072}
X(72606) = X(i)-Ceva conjugate of X(j) for these {i, j}: {692, 798}, {1962, 72628}, {2308, 20970}, {20970, 72624}
X(72606) = pole of line {75, 873} with respect to the Stammler hyperbola
X(72606) = pole of line {810, 4983} with respect to the Hofstadter ellipse
X(72606) = pole of line {561, 32092} with respect to the Wallace hyperbola
X(72606) = intersection, other than A, B, C, of circumconics {{A, B, C, X(31), X(872)}}, {{A, B, C, X(48), X(3958)}}, {{A, B, C, X(213), X(1100)}}, {{A, B, C, X(430), X(4215)}}, {{A, B, C, X(741), X(2667)}}, {{A, B, C, X(798), X(28615)}}, {{A, B, C, X(1213), X(3774)}}, {{A, B, C, X(1918), X(2206)}}, {{A, B, C, X(1964), X(4647)}}, {{A, B, C, X(2194), X(3683)}}, {{A, B, C, X(3724), X(8663)}}, {{A, B, C, X(7109), X(69855)}}, {{A, B, C, X(34819), X(69934)}}, {{A, B, C, X(35327), X(69890)}}, {{A, B, C, X(69840), X(72608)}}
X(72606) = barycentric product X(i)*X(j) for these (i, j): {1, 20970}, {3, 72594}, {4, 72628}, {7, 72624}, {9, 72639}, {19, 22080}, {25, 3958}, {32, 4647}, {55, 72640}, {56, 72588}, {57, 72634}, {63, 72599}, {75, 72612}, {81, 72625}, {82, 72621}, {101, 4983}, {163, 6367}, {430, 48}, {553, 72633}, {649, 69842}, {662, 8663}, {1018, 50512}, {1100, 42}, {1125, 213}, {1213, 31}, {1230, 560}, {1269, 2205}, {1333, 8013}, {1334, 32636}, {1400, 3683}, {1402, 3686}, {1500, 69840}, {1824, 22054}, {1826, 23201}, {1839, 228}, {1918, 4359}, {1919, 61174}, {1962, 6}, {1973, 41014}, {2200, 56875}, {2308, 37}, {2333, 3916}, {2355, 71}, {3649, 41}, {3709, 61225}, {4046, 604}, {4115, 667}, {4427, 798}, {4557, 4979}, {4977, 69826}, {4988, 692}, {5625, 69934}, {8025, 872}, {16709, 7109}, {21759, 4970}, {21816, 58}, {28615, 8040}, {30591, 32739}, {30729, 51641}, {35327, 661}, {35339, 4832}, {35342, 512}, {36075, 4041}, {40729, 4697}, {44143, 9247}, {59218, 60671}, {61170, 663}, {63461, 63782}, {65161, 669}
X(72606) = barycentric quotient X(i)/X(j) for these (i, j): {31, 32014}, {32, 40438}, {42, 32018}, {48, 57854}, {213, 1268}, {430, 1969}, {560, 1171}, {669, 47947}, {692, 4632}, {798, 4608}, {872, 6539}, {1100, 310}, {1125, 6385}, {1213, 561}, {1230, 1928}, {1576, 62535}, {1839, 57796}, {1918, 1255}, {1924, 50344}, {1962, 76}, {2205, 1126}, {2308, 274}, {2355, 44129}, {3649, 20567}, {3683, 28660}, {3686, 40072}, {3958, 305}, {4046, 28659}, {4115, 6386}, {4427, 4602}, {4647, 1502}, {4979, 52619}, {4983, 3261}, {4988, 40495}, {6367, 20948}, {8013, 27801}, {8025, 57992}, {8663, 1577}, {9247, 57685}, {20970, 75}, {21816, 313}, {22080, 304}, {23201, 17206}, {32739, 4596}, {35327, 799}, {35342, 670}, {36075, 4625}, {41014, 40364}, {50487, 31010}, {50512, 7199}, {61170, 4572}, {63782, 55213}, {65161, 4609}, {69826, 6540}, {69842, 1978}, {72588, 3596}, {72594, 264}, {72599, 92}, {72612, 1}, {72621, 1930}, {72623, 32635}, {72624, 8}, {72625, 321}, {72628, 69}, {72633, 4102}, {72634, 312}, {72639, 85}, {72640, 6063}
X(72606) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 3747, 2667}, {31, 3725, 72607}, {213, 1918, 872}, {2300, 72265, 3248}, {20970, 72634, 72625}

X(72607) = {X(31), X(25)}-CROSS-CONCEVIAN PERSPECTOR

X(72607) lies on these lines: {1, 37303}, {31, 48}, {32, 40978}, {42, 2245}, {55, 2305}, {56, 72533}, {213, 72628}, {228, 872}, {669, 8027}, {740, 3550}, {758, 4257}, {902, 1962}, {910, 40977}, {968, 1761}, {1402, 1918}, {2234, 13588}, {2274, 16778}, {2292, 4640}, {2643, 42076}, {2646, 2650}, {3052, 3747}, {3121, 72612}, {3122, 40984}, {3248, 40956}, {4068, 21000}, {4252, 64753}, {8616, 10180}, {17716, 58391}, {20359, 20718}, {20964, 52139}, {20967, 72265}, {20985, 23393}, {21753, 72624}, {27798, 56010}, {37603, 49598}, {38832, 68997}, {39250, 39257}, {46905, 54426}, {52680, 59624}, {54354, 58386}, {69231, 72649}, {69892, 70222}, {72571, 72635}, {72608, 72609}

X(72607) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 60235}, {4, 57833}, {75, 40430}, {86, 65822}, {99, 56321}, {264, 57668}, {312, 63194}, {314, 17097}, {40442, 44130}
X(72607) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 40430}, {5745, 561}, {17056, 40072}, {32664, 60235}, {36033, 57833}, {37836, 75}, {38986, 56321}, {40600, 65822}, {59602, 6385}
X(72607) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1415, 798}, {2650, 72629}, {72644, 72571}
X(72607) = pole of line {7252, 20981} with respect to the circumcircle
X(72607) = pole of line {75, 10448} with respect to the Stammler hyperbola
X(72607) = pole of line {810, 4705} with respect to the Hofstadter ellipse
X(72607) = pole of line {561, 10447} with respect to the Wallace hyperbola
X(72607) = intersection, other than A, B, C, of circumconics {{A, B, C, X(31), X(2650)}}, {{A, B, C, X(407), X(4215)}}, {{A, B, C, X(1333), X(28658)}}, {{A, B, C, X(1402), X(2194)}}, {{A, B, C, X(1964), X(18698)}}, {{A, B, C, X(2206), X(72644)}}, {{A, B, C, X(53324), X(69890)}}
X(72607) = barycentric product X(i)*X(j) for these (i, j): {1, 72571}, {4, 72629}, {9, 72638}, {19, 72559}, {25, 72648}, {37, 72644}, {57, 72635}, {213, 3664}, {407, 48}, {1333, 21674}, {1400, 2646}, {1402, 5745}, {1409, 40950}, {1415, 62566}, {1880, 22361}, {2206, 42708}, {2650, 6}, {17056, 31}, {17136, 798}, {18698, 32}, {21677, 604}, {21748, 65}, {21811, 56}, {22003, 667}, {23755, 692}, {30604, 34073}, {40985, 71}, {53324, 661}, {53388, 7180}
X(72607) = barycentric quotient X(i)/X(j) for these (i, j): {31, 60235}, {32, 40430}, {48, 57833}, {213, 65822}, {407, 1969}, {798, 56321}, {1397, 63194}, {2646, 28660}, {2650, 76}, {3664, 6385}, {5745, 40072}, {9247, 57668}, {17056, 561}, {17136, 4602}, {18698, 1502}, {21674, 27801}, {21677, 28659}, {21748, 314}, {21811, 3596}, {22003, 6386}, {23755, 40495}, {40985, 44129}, {53324, 799}, {53388, 62534}, {72559, 304}, {72571, 75}, {72629, 69}, {72635, 312}, {72638, 85}, {72644, 274}, {72648, 305}
X(72607) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 2352, 1964}, {31, 3724, 3725}, {31, 3725, 72606}

X(72608) = {X(31), X(32)}-CROSS-CONCEVIAN PERSPECTOR

X(72608) lies on these lines: {1, 21}, {32, 70661}, {171, 31996}, {213, 872}, {238, 16819}, {669, 3249}, {740, 16476}, {1203, 71752}, {2176, 20990}, {2223, 3725}, {2667, 20963}, {3294, 20964}, {3728, 16552}, {7109, 41267}, {17143, 71139}, {18089, 21020}, {21753, 72636}, {23398, 33863}, {25248, 64161}, {51331, 68861}, {72607, 72609}

X(72608) = perspector of circumconic {{A, B, C, X(662), X(69826)}}
X(72608) = X(i)-isoconjugate-of-X(j) for these {i, j}: {75, 40439}, {76, 40408}, {274, 32009}, {310, 40433}, {321, 59147}, {670, 50520}, {799, 72049}, {873, 72048}, {6385, 57397}, {8708, 52619}, {57785, 72047}
X(72608) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 40439}, {3121, 3261}, {3720, 40088}, {3739, 561}, {38996, 72049}, {62646, 6385}
X(72608) = X(i)-Ceva conjugate of X(j) for these {i, j}: {31, 72265}, {101, 1924}, {72265, 21753}
X(72608) = pole of line {1924, 3733} with respect to the circumcircle
X(72608) = pole of line {1, 873} with respect to the Stammler hyperbola
X(72608) = pole of line {75, 57992} with respect to the Wallace hyperbola
X(72608) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(872)}}, {{A, B, C, X(21), X(72636)}}, {{A, B, C, X(32), X(51311)}}, {{A, B, C, X(38), X(21020)}}, {{A, B, C, X(58), X(1918)}}, {{A, B, C, X(81), X(213)}}, {{A, B, C, X(512), X(62872)}}, {{A, B, C, X(1621), X(7109)}}, {{A, B, C, X(1924), X(56837)}}, {{A, B, C, X(2205), X(39673)}}, {{A, B, C, X(3720), X(10458)}}, {{A, B, C, X(3739), X(56240)}}, {{A, B, C, X(3774), X(16589)}}, {{A, B, C, X(3794), X(4531)}}, {{A, B, C, X(5208), X(39793)}}, {{A, B, C, X(17175), X(18169)}}, {{A, B, C, X(18206), X(39258)}}, {{A, B, C, X(21820), X(28606)}}, {{A, B, C, X(29773), X(41267)}}, {{A, B, C, X(41333), X(69887)}}, {{A, B, C, X(69840), X(72606)}}
X(72608) = barycentric product X(i)*X(j) for these (i, j): {1, 21753}, {10, 72267}, {19, 22369}, {25, 72649}, {37, 72265}, {48, 72562}, {55, 72642}, {56, 72589}, {57, 72636}, {101, 50497}, {163, 50538}, {213, 3720}, {228, 40975}, {251, 72620}, {512, 70144}, {669, 70145}, {1333, 21699}, {1402, 3691}, {1500, 70143}, {1918, 3739}, {1924, 53363}, {2206, 52579}, {2667, 6}, {4059, 72623}, {4111, 604}, {4436, 798}, {4557, 68881}, {6372, 69826}, {16589, 31}, {17175, 7109}, {18089, 41267}, {18166, 872}, {20888, 2205}, {20963, 42}, {21020, 32}, {21820, 58}, {22060, 2333}, {32739, 48393}, {39793, 41}, {53478, 560}, {61163, 667}
X(72608) = barycentric quotient X(i)/X(j) for these (i, j): {32, 40439}, {560, 40408}, {669, 72049}, {1918, 32009}, {1924, 50520}, {2205, 40433}, {2206, 59147}, {2667, 76}, {3691, 40072}, {3720, 6385}, {4111, 28659}, {4436, 4602}, {7109, 72048}, {16589, 561}, {18166, 57992}, {20963, 310}, {21020, 1502}, {21699, 27801}, {21753, 75}, {21820, 313}, {22369, 304}, {39793, 20567}, {40975, 57796}, {50497, 3261}, {50538, 20948}, {53478, 1928}, {61163, 6386}, {62646, 40088}, {68881, 52619}, {70144, 670}, {70145, 4609}, {72265, 274}, {72267, 86}, {72562, 1969}, {72589, 3596}, {72620, 8024}, {72623, 72047}, {72636, 312}, {72642, 6063}, {72649, 305}
X(72608) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 18756, 58}, {2667, 72649, 72620}, {3747, 20985, 1962}

X(72609) = {X(31), X(41)}-CROSS-CONCEVIAN PERSPECTOR

X(72609) lies on these lines: {31, 56}, {32, 560}, {58, 2195}, {238, 48932}, {1253, 4258}, {1923, 69018}, {2293, 72650}, {3053, 21059}, {3747, 42443}, {5021, 7083}, {8053, 22065}, {9439, 54981}, {23443, 56853}, {23851, 60726}, {30502, 60673}, {72607, 72608}

X(72609) = perspector of circumconic {{A, B, C, X(1461), X(32739)}}
X(72609) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 31618}, {7, 57815}, {8, 42311}, {75, 21453}, {76, 1170}, {85, 32008}, {264, 40443}, {274, 60229}, {279, 63239}, {312, 10509}, {668, 65552}, {693, 6606}, {1088, 56118}, {1174, 20567}, {1434, 56127}, {1803, 1969}, {2346, 6063}, {3261, 65222}, {3596, 61373}, {4077, 55281}, {4397, 65545}, {4554, 56322}, {4569, 62725}, {4572, 58322}, {6605, 57792}, {20880, 59475}, {40495, 53243}, {42310, 60720}, {46406, 62747}, {47487, 57787}, {56157, 57785}
X(72609) = X(i)-Dao conjugate of X(j) for these {i, j}: {142, 561}, {206, 21453}, {1212, 41283}, {32664, 31618}, {40606, 20567}, {65525, 35519}
X(72609) = X(i)-Ceva conjugate of X(j) for these {i, j}: {31, 72637}
X(72609) = pole of line {1459, 21791} with respect to the circumcircle
X(72609) = pole of line {310, 1043} with respect to the Stammler hyperbola
X(72609) = intersection, other than A, B, C, of circumconics {{A, B, C, X(32), X(1407)}}, {{A, B, C, X(56), X(2175)}}, {{A, B, C, X(560), X(1106)}}, {{A, B, C, X(1042), X(1918)}}, {{A, B, C, X(1191), X(8551)}}, {{A, B, C, X(1212), X(40728)}}, {{A, B, C, X(1475), X(9454)}}, {{A, B, C, X(2200), X(52373)}}, {{A, B, C, X(2390), X(6607)}}, {{A, B, C, X(2488), X(8618)}}, {{A, B, C, X(4847), X(41267)}}, {{A, B, C, X(8012), X(61412)}}
X(72609) = barycentric product X(i)*X(j) for these (i, j): {1, 20229}, {3, 72596}, {9, 72637}, {19, 22079}, {25, 72650}, {32, 4847}, {56, 8012}, {101, 2488}, {142, 2175}, {184, 1855}, {219, 40983}, {220, 61376}, {228, 72601}, {269, 8551}, {284, 52020}, {354, 41}, {1106, 45791}, {1212, 31}, {1229, 560}, {1233, 9448}, {1253, 1418}, {1333, 21039}, {1397, 51972}, {1415, 6608}, {1461, 6607}, {1475, 55}, {1827, 48}, {1919, 65198}, {2195, 68743}, {2293, 6}, {3059, 604}, {3063, 35338}, {3925, 57657}, {10481, 14827}, {10581, 109}, {16713, 1918}, {17169, 72623}, {17194, 213}, {18164, 72633}, {20880, 9447}, {21127, 692}, {21795, 58}, {21808, 2194}, {22053, 607}, {32739, 6362}, {35326, 663}, {35341, 667}, {57264, 61034}, {63203, 8641}
X(72609) = barycentric quotient X(i)/X(j) for these (i, j): {31, 31618}, {32, 21453}, {41, 57815}, {142, 41283}, {354, 20567}, {560, 1170}, {604, 42311}, {1212, 561}, {1229, 1928}, {1233, 41287}, {1253, 63239}, {1397, 10509}, {1475, 6063}, {1827, 1969}, {1855, 18022}, {1918, 60229}, {1919, 65552}, {2175, 32008}, {2293, 76}, {2488, 3261}, {3059, 28659}, {4847, 1502}, {6607, 52622}, {8012, 3596}, {8551, 341}, {9247, 40443}, {9447, 2346}, {9448, 1174}, {10581, 35519}, {14575, 1803}, {14827, 56118}, {17194, 6385}, {20229, 75}, {21039, 27801}, {21127, 40495}, {21795, 313}, {22053, 57918}, {22079, 304}, {32739, 6606}, {35326, 4572}, {35341, 6386}, {40983, 331}, {51972, 40363}, {52020, 349}, {61376, 57792}, {72596, 264}, {72601, 57796}, {72623, 56157}, {72633, 56127}, {72637, 85}, {72650, 305}

X(72610) = {X(31), X(101)}-CROSS-CONCEVIAN PERSPECTOR

X(72610) lies on these lines: {1, 727}, {31, 101}, {32, 1922}, {36, 71832}, {58, 2665}, {163, 70663}, {172, 70346}, {244, 69906}, {667, 38986}, {1015, 72645}, {1914, 70344}, {1924, 9427}, {1977, 23573}, {2251, 70658}, {3248, 70357}, {5299, 71834}, {7031, 56836}, {7207, 7208}, {20663, 35342}, {23534, 68950}, {34252, 71413}

X(72610) = perspector of circumconic {{A, B, C, X(1919), X(1980)}}
X(72610) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 31625}, {59, 40363}, {75, 7035}, {76, 1016}, {99, 27808}, {100, 6386}, {190, 1978}, {305, 15742}, {308, 61406}, {312, 67038}, {313, 4600}, {321, 4601}, {561, 765}, {594, 34537}, {646, 4554}, {668, 668}, {670, 3952}, {693, 57950}, {789, 4505}, {799, 4033}, {874, 4583}, {889, 41314}, {1018, 4602}, {1089, 24037}, {1110, 1928}, {1252, 1502}, {1275, 59761}, {1500, 44168}, {3261, 6632}, {3264, 62536}, {3596, 4998}, {3661, 5388}, {3699, 4572}, {3799, 46132}, {3807, 37133}, {4069, 55213}, {4076, 6063}, {4103, 52612}, {4552, 62534}, {4557, 4609}, {4562, 27853}, {4564, 28659}, {4567, 27801}, {4590, 28654}, {4620, 30713}, {5378, 18891}, {5381, 35543}, {5383, 6382}, {6064, 34388}, {6065, 41283}, {6066, 41287}, {6331, 52609}, {6558, 46406}, {6635, 65867}, {7141, 47389}, {13466, 57572}, {16085, 57989}, {18021, 65958}, {18830, 36863}, {23343, 57994}, {23354, 54985}, {23990, 40362}, {33948, 57977}, {35309, 37204}, {36791, 57564}, {36803, 42720}, {40072, 65573}, {40088, 63918}, {40495, 57731}, {46102, 57919}, {46254, 52369}, {53332, 65282}, {53675, 57577}, {55207, 65207}, {56241, 69896}, {56660, 57566}, {57968, 69827}, {57979, 65314}, {57995, 69824}, {65040, 71861}
X(72610) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 7035}, {512, 1089}, {513, 561}, {514, 1928}, {661, 1502}, {798, 6382}, {1577, 44159}, {6615, 40363}, {8054, 6386}, {32664, 31625}, {38986, 27808}, {38996, 4033}, {40368, 765}, {40369, 1110}, {40627, 27801}, {50497, 313}, {55053, 1978}, {62552, 44171}, {62558, 44169}
X(72610) = X(i)-Ceva conjugate of X(j) for these {i, j}: {31, 1919}, {32, 1924}, {560, 1980}, {757, 57129}, {7121, 667}
X(72610) = pole of line {21762, 23573} with respect to the Brocard inellipse
X(72610) = pole of line {2664, 7035} with respect to the Stammler hyperbola
X(72610) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1), X(38986)}}, {{A, B, C, X(101), X(1919)}}, {{A, B, C, X(667), X(932)}}, {{A, B, C, X(739), X(1922)}}, {{A, B, C, X(2665), X(3248)}}, {{A, B, C, X(18265), X(61048)}}, {{A, B, C, X(21762), X(62421)}}
X(72610) = barycentric product X(i)*X(j) for these (i, j): {1, 1977}, {19, 22096}, {100, 3249}, {101, 8027}, {163, 8034}, {244, 32}, {512, 57129}, {649, 667}, {873, 9427}, {893, 72645}, {1015, 31}, {1019, 669}, {1084, 757}, {1086, 560}, {1106, 14936}, {1111, 1501}, {1178, 21755}, {1333, 3122}, {1356, 2185}, {1357, 41}, {1358, 9447}, {1395, 7117}, {1397, 2170}, {1509, 4117}, {1917, 23989}, {1919, 513}, {1922, 27846}, {1923, 61404}, {1924, 7192}, {1973, 3937}, {1974, 3942}, {1980, 514}, {2150, 61052}, {2162, 38986}, {2175, 53538}, {2206, 3125}, {2251, 43922}, {2310, 52410}, {2969, 9247}, {3022, 7366}, {3049, 57200}, {3063, 43924}, {3121, 58}, {3124, 849}, {3248, 6}, {3271, 604}, {3733, 798}, {4817, 8630}, {6377, 7121}, {7199, 9426}, {8632, 875}, {14598, 27918}, {16726, 1918}, {16947, 4516}, {17205, 2205}, {18267, 35119}, {18900, 43266}, {21143, 692}, {21762, 87}, {23349, 3768}, {23560, 36598}, {23892, 890}, {32665, 8661}, {32719, 71108}, {32739, 764}, {32740, 70369}, {33917, 34075}, {34077, 52633}, {39179, 688}, {39786, 70663}, {41280, 4858}, {41935, 42084}, {42067, 48}, {43920, 9417}, {43921, 9454}, {43925, 810}, {51641, 7252}, {52065, 6628}, {53540, 57657}, {53541, 7104}, {57157, 62749}, {57181, 663}, {57204, 69828}, {61048, 9}, {61050, 738}, {66931, 7200}
X(72610) = barycentric quotient X(i)/X(j) for these (i, j): {31, 31625}, {32, 7035}, {244, 1502}, {560, 1016}, {649, 6386}, {667, 1978}, {669, 4033}, {757, 44168}, {798, 27808}, {849, 34537}, {1015, 561}, {1019, 4609}, {1084, 1089}, {1086, 1928}, {1111, 40362}, {1356, 6358}, {1357, 20567}, {1397, 67038}, {1501, 765}, {1917, 1252}, {1919, 668}, {1923, 61406}, {1924, 3952}, {1977, 75}, {1980, 190}, {2170, 40363}, {2206, 4601}, {3121, 313}, {3122, 27801}, {3123, 40367}, {3248, 76}, {3249, 693}, {3271, 28659}, {3733, 4602}, {3937, 40364}, {3942, 40050}, {4117, 594}, {4858, 44159}, {8027, 3261}, {8034, 20948}, {8630, 3807}, {9233, 1110}, {9426, 1018}, {9427, 756}, {9447, 4076}, {9494, 35309}, {18267, 57566}, {18897, 5378}, {18900, 65040}, {21143, 40495}, {21755, 1237}, {21762, 6376}, {22096, 304}, {23216, 3949}, {23560, 20943}, {23892, 57994}, {27846, 44169}, {27918, 44171}, {32739, 57950}, {38346, 40088}, {38986, 6382}, {39179, 42371}, {41280, 4564}, {41281, 2149}, {42067, 1969}, {43925, 57968}, {46386, 4505}, {52065, 6535}, {53538, 41283}, {57129, 670}, {57181, 4572}, {61048, 85}, {61050, 30693}, {65751, 52369}, {72645, 1920}

X(72611) = {X(32), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72611) lies on these lines: {6, 8623}, {32, 206}, {230, 233}, {308, 52083}, {754, 16890}, {1084, 40601}, {3005, 6041}, {3051, 20775}, {3589, 5007}, {3629, 69961}, {5008, 6375}, {6680, 70593}, {7755, 34845}, {7766, 35540}, {7792, 21248}, {7806, 71119}, {10339, 38834}, {11205, 22078}, {12206, 52395}, {14575, 40368}, {15449, 23976}, {15821, 52788}, {34097, 63557}, {41296, 64947}

X(72611) = perspector of circumconic {{A, B, C, X(4630), X(10330)}}
X(72611) = X(i)-isoconjugate-of-X(j) for these {i, j}: {75, 40425}, {561, 57421}, {3108, 18833}, {3112, 10159}, {4593, 31065}, {18070, 35137}
X(72611) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 40425}, {3589, 1502}, {6292, 40016}, {34452, 10159}, {39691, 44173}, {40368, 57421}, {52042, 61418}, {55050, 31065}
X(72611) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1576, 688}, {5007, 11205}
X(72611) = X(i)-complementary conjugate of X(j) for these {i, j}: {1923, 40588}, {2980, 21238}, {27366, 2887}
X(72611) = pole of line {14318, 37085} with respect to the Brocard inellipse
X(72611) = pole of line {308, 3108} with respect to the Stammler hyperbola
X(72611) = pole of line {10159, 40016} with respect to the Wallace hyperbola
X(72611) = intersection, other than A, B, C, of circumconics {{A, B, C, X(32), X(6292)}}, {{A, B, C, X(39), X(39784)}}, {{A, B, C, X(733), X(70254)}}, {{A, B, C, X(3051), X(3589)}}, {{A, B, C, X(5007), X(41331)}}, {{A, B, C, X(7767), X(10547)}}, {{A, B, C, X(20960), X(28666)}}, {{A, B, C, X(42554), X(43977)}}
X(72611) = barycentric product X(i)*X(j) for these (i, j): {3, 72598}, {32, 6292}, {39, 5007}, {184, 46026}, {1333, 21817}, {1501, 42554}, {1634, 8664}, {1843, 22352}, {3005, 61211}, {3051, 3589}, {3917, 44091}, {10330, 688}, {10547, 28666}, {11205, 6}, {14575, 52787}, {17193, 1918}, {17200, 41267}, {17457, 31}, {17469, 1964}, {20775, 428}, {20898, 560}, {21038, 2206}, {21126, 32739}, {22078, 25}, {27369, 7767}, {39998, 41331}, {44142, 68651}, {59180, 59994}, {61219, 669}
X(72611) = barycentric quotient X(i)/X(j) for these (i, j): {32, 40425}, {428, 68630}, {688, 31065}, {1501, 57421}, {2531, 31067}, {3051, 10159}, {3589, 40016}, {5007, 308}, {6292, 1502}, {8664, 52618}, {10330, 42371}, {11205, 76}, {17457, 561}, {17469, 18833}, {20775, 57852}, {20898, 1928}, {21817, 27801}, {22078, 305}, {41331, 3108}, {42554, 40362}, {44091, 46104}, {46026, 18022}, {52787, 44161}, {59994, 61418}, {61211, 689}, {61219, 4609}, {68651, 41435}, {72598, 264}
X(72611) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 8623, 70254}, {32, 16285, 8265}, {3051, 41331, 59994}

X(72612) = {X(32), X(31)}-CROSS-CONCEVIAN PERSPECTOR

X(72612) lies on these lines: {6, 4184}, {31, 21753}, {32, 184}, {187, 17187}, {902, 21838}, {1918, 2205}, {1977, 72267}, {2092, 21764}, {2209, 23551}, {2220, 5371}, {2229, 3550}, {2238, 17127}, {2245, 5332}, {2308, 20970}, {3121, 72607}, {3124, 40984}, {3231, 38832}, {4279, 20965}, {9447, 40371}, {16956, 56431}, {18755, 61409}, {20666, 20966}, {21024, 70490}, {30652, 69518}, {52538, 72201}, {59625, 61407}, {72606, 72624}

X(72612) = perspector of circumconic {{A, B, C, X(1576), X(35327)}}
X(72612) = X(i)-isoconjugate-of-X(j) for these {i, j}: {75, 32014}, {76, 40438}, {86, 32018}, {92, 57854}, {274, 1268}, {310, 1255}, {561, 1171}, {670, 47947}, {799, 4608}, {850, 62535}, {873, 6539}, {1126, 6385}, {1796, 57796}, {1969, 57685}, {3261, 4596}, {4102, 57785}, {4602, 50344}, {4623, 31010}, {4629, 40495}, {6538, 57949}, {6540, 7199}, {6578, 20948}, {27801, 52558}, {37212, 52619}, {52555, 57992}
X(72612) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 32014}, {1125, 1502}, {3647, 6385}, {22391, 57854}, {38996, 4608}, {40368, 1171}, {40600, 32018}
X(72612) = X(i)-Ceva conjugate of X(j) for these {i, j}: {32739, 669}
X(72612) = pole of line {76, 15668} with respect to the Stammler hyperbola
X(72612) = intersection, other than A, B, C, of circumconics {{A, B, C, X(32), X(7109)}}, {{A, B, C, X(184), X(22080)}}, {{A, B, C, X(237), X(430)}}, {{A, B, C, X(1213), X(3051)}}, {{A, B, C, X(1230), X(3117)}}, {{A, B, C, X(1918), X(2206)}}, {{A, B, C, X(2387), X(6367)}}, {{A, B, C, X(18268), X(21753)}}, {{A, B, C, X(57657), X(72623)}}, {{A, B, C, X(61364), X(72625)}}
X(72612) = barycentric product X(i)*X(j) for these (i, j): {1, 72606}, {3, 72599}, {19, 72628}, {41, 72640}, {48, 72594}, {55, 72639}, {56, 72634}, {57, 72624}, {58, 72625}, {110, 8663}, {184, 430}, {228, 2355}, {251, 72621}, {553, 72623}, {604, 72588}, {667, 69842}, {1100, 213}, {1125, 1918}, {1213, 32}, {1230, 1501}, {1333, 21816}, {1397, 4046}, {1402, 3683}, {1576, 6367}, {1824, 23201}, {1839, 2200}, {1919, 4115}, {1924, 65161}, {1962, 31}, {1973, 3958}, {1974, 41014}, {1980, 61174}, {2175, 3649}, {2205, 4359}, {2206, 8013}, {2308, 42}, {3063, 61170}, {4427, 669}, {4557, 50512}, {4647, 560}, {4979, 69826}, {4983, 692}, {7109, 8025}, {14575, 44143}, {14601, 51417}, {20970, 6}, {22054, 2333}, {22080, 25}, {32636, 72633}, {32739, 4988}, {35327, 512}, {35342, 798}, {36075, 3709}, {61225, 63461}, {69840, 872}
X(72612) = barycentric quotient X(i)/X(j) for these (i, j): {32, 32014}, {184, 57854}, {213, 32018}, {430, 18022}, {560, 40438}, {669, 4608}, {1100, 6385}, {1213, 1502}, {1230, 40362}, {1501, 1171}, {1918, 1268}, {1924, 47947}, {1962, 561}, {2205, 1255}, {2308, 310}, {2355, 57796}, {3649, 41283}, {3683, 40072}, {3958, 40364}, {4046, 40363}, {4427, 4609}, {4647, 1928}, {4983, 40495}, {6367, 44173}, {7109, 6539}, {8663, 850}, {9426, 50344}, {14574, 6578}, {14575, 57685}, {20970, 76}, {21816, 27801}, {22080, 305}, {32739, 4632}, {35327, 670}, {35342, 4602}, {41014, 40050}, {44143, 44161}, {50512, 52619}, {53581, 31010}, {61225, 55213}, {69840, 57992}, {69842, 6386}, {72588, 28659}, {72594, 1969}, {72599, 264}, {72606, 75}, {72621, 8024}, {72623, 4102}, {72624, 312}, {72625, 313}, {72628, 304}, {72634, 3596}, {72639, 6063}, {72640, 20567}
X(72612) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 41333, 21753}, {1918, 2205, 7109}, {20970, 22080, 72621}

X(72613) = {X(33), X(9)}-CROSS-CONCEVIAN PERSPECTOR

X(72613) lies on these lines: {6, 53288}, {9, 66936}, {33, 72615}, {41, 2204}, {42, 40982}, {51, 62266}, {869, 7083}, {872, 2175}, {1964, 3271}, {2179, 40981}, {2262, 45932}, {3553, 40987}, {20753, 55432}, {40957, 72614}

X(72613) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 95}, {54, 6063}, {56, 34384}, {57, 62276}, {77, 40440}, {85, 2167}, {97, 331}, {222, 276}, {273, 62277}, {275, 348}, {278, 34386}, {1014, 56189}, {1088, 44687}, {1401, 41488}, {1434, 56246}, {1804, 8795}, {2148, 20567}, {2169, 57787}, {2190, 7182}, {2616, 4625}, {3596, 62264}, {3665, 39287}, {4573, 15412}, {7055, 8884}, {7180, 55218}, {7335, 57844}, {7340, 8901}, {8882, 57918}, {14573, 41287}, {17094, 18831}, {39277, 41804}, {41283, 54034}, {43034, 70898}, {52411, 57790}, {56254, 57785}, {57880, 62265}
X(72613) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 34384}, {5, 7182}, {216, 20567}, {5452, 62276}, {14363, 57787}, {40588, 85}, {63463, 4077}
X(72613) = X(i)-Ceva conjugate of X(j) for these {i, j}: {51, 2179}, {7069, 72591}
X(72613) = pole of line {7182, 60716} with respect to the Stammler hyperbola
X(72613) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(2179), X(2204)}}, {{A, B, C, X(2212), X(7069)}}, {{A, B, C, X(40981), X(72616)}}
X(72613) = barycentric product X(i)*X(j) for these (i, j): {4, 72591}, {6, 7069}, {19, 44707}, {29, 72618}, {41, 5}, {51, 9}, {210, 72603}, {212, 53}, {216, 33}, {217, 318}, {281, 62266}, {311, 9447}, {312, 40981}, {346, 72616}, {1334, 18180}, {1393, 220}, {1625, 4041}, {1953, 55}, {2167, 62262}, {2179, 8}, {2181, 219}, {2212, 343}, {2321, 72605}, {2617, 3709}, {3199, 78}, {3718, 61346}, {4086, 61194}, {7046, 72643}, {7156, 8798}, {12077, 65375}, {14213, 2175}, {14569, 2289}, {14570, 63461}, {15451, 65201}, {16697, 72614}, {17167, 72633}, {17500, 40972}, {21011, 2194}, {21789, 35307}, {21807, 284}, {23181, 55206}, {23990, 60804}, {30493, 7079}, {33525, 35320}, {35321, 53549}, {44687, 62260}, {44706, 607}, {44708, 7071}, {52604, 8611}, {55219, 643}, {56245, 72569}, {62272, 9448}
X(72613) = barycentric quotient X(i)/X(j) for these (i, j): {5, 20567}, {9, 34384}, {33, 276}, {41, 95}, {51, 85}, {53, 57787}, {55, 62276}, {212, 34386}, {216, 7182}, {217, 77}, {318, 57790}, {418, 7183}, {607, 40440}, {643, 55218}, {1334, 56189}, {1393, 57792}, {1625, 4625}, {1953, 6063}, {2175, 2167}, {2179, 7}, {2181, 331}, {2212, 275}, {3199, 273}, {7069, 76}, {9447, 54}, {9448, 2148}, {14213, 41283}, {14570, 55213}, {14827, 44687}, {21807, 349}, {23181, 55205}, {40981, 57}, {44088, 7125}, {44706, 57918}, {44707, 304}, {52425, 62277}, {55219, 4077}, {56245, 41488}, {61194, 1414}, {61346, 34}, {62262, 14213}, {62266, 348}, {62272, 41287}, {63461, 15412}, {65485, 51664}, {72591, 69}, {72603, 57785}, {72605, 1434}, {72616, 279}, {72618, 307}, {72623, 56254}, {72633, 56246}, {72643, 7056}
X(72613) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {51, 62266, 72616}

X(72614) = {X(33), X(19)}-CROSS-CONCEVIAN PERSPECTOR

X(72614) lies on these lines: {4, 50581}, {19, 2356}, {25, 2177}, {31, 68677}, {33, 200}, {42, 1824}, {73, 1825}, {225, 3755}, {427, 33136}, {429, 3214}, {607, 1253}, {740, 41013}, {860, 4085}, {1039, 3710}, {1064, 68670}, {1172, 4876}, {1395, 11406}, {1500, 2333}, {1826, 4878}, {1861, 17913}, {1905, 24028}, {2299, 33635}, {3293, 39579}, {3886, 54396}, {3946, 23710}, {4231, 60714}, {4516, 40934}, {5136, 32941}, {5293, 6198}, {5853, 40950}, {6059, 72623}, {21318, 22057}, {22063, 45932}, {40957, 72613}

X(72614) = X(i)-isoconjugate-of-X(j) for these {i, j}: {3, 57785}, {7, 1444}, {21, 7056}, {27, 7183}, {28, 7055}, {57, 17206}, {58, 7182}, {63, 1434}, {69, 1014}, {72, 552}, {73, 873}, {77, 86}, {81, 348}, {85, 1790}, {109, 69830}, {201, 6628}, {222, 274}, {261, 1439}, {269, 332}, {279, 1812}, {283, 1088}, {285, 57479}, {286, 1804}, {304, 1412}, {305, 1408}, {307, 757}, {310, 603}, {314, 7053}, {331, 18604}, {333, 7177}, {479, 1792}, {521, 4616}, {593, 1231}, {649, 55205}, {651, 15419}, {652, 4635}, {664, 69828}, {763, 26942}, {905, 4573}, {1019, 65164}, {1119, 68650}, {1214, 1509}, {1332, 17096}, {1333, 57918}, {1396, 3926}, {1410, 18021}, {1414, 4025}, {1428, 57987}, {1437, 6063}, {1443, 57985}, {1446, 65568}, {1447, 57738}, {1459, 4625}, {1803, 16708}, {1805, 65017}, {1806, 65016}, {1813, 7199}, {1817, 34400}, {1847, 6514}, {2185, 56382}, {2193, 57792}, {2197, 57949}, {2287, 30682}, {2327, 23062}, {3669, 4563}, {3676, 4592}, {3942, 4620}, {4554, 7254}, {4558, 24002}, {4560, 65296}, {4561, 7203}, {4565, 15413}, {4569, 23189}, {4575, 52621}, {4610, 51664}, {4617, 15411}, {4626, 57081}, {4637, 6332}, {6385, 52411}, {6516, 7192}, {7045, 17219}, {7099, 28660}, {7125, 44129}, {7335, 57796}, {7340, 18210}, {7341, 20336}, {8822, 56972}, {16727, 44717}, {16755, 65300}, {16947, 40364}, {17094, 52935}, {17169, 40443}, {23090, 36838}, {24471, 57853}, {27832, 41629}, {30805, 65232}, {32636, 57854}, {36059, 52619}, {43924, 55202}, {47389, 53540}, {51640, 55229}, {52373, 52379}, {52608, 57181}, {52937, 57134}, {53545, 62719}
X(72614) = X(i)-Dao conjugate of X(j) for these {i, j}: {10, 7182}, {11, 69830}, {37, 57918}, {136, 52621}, {3162, 1434}, {5139, 3676}, {5375, 55205}, {5452, 17206}, {6600, 332}, {7952, 310}, {17115, 17219}, {20620, 52619}, {23050, 314}, {36103, 57785}, {38966, 18155}, {38991, 15419}, {39025, 69828}, {40586, 348}, {40591, 7055}, {40599, 304}, {40600, 77}, {40607, 307}, {40608, 4025}, {40611, 7056}, {47345, 57792}, {55064, 15413}, {59577, 305}
X(72614) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1824, 2333}, {7071, 72633}, {53008, 1334}
X(72614) = X(i)-cross conjugate of X(j) for these {i, j}: {872, 72633}, {72623, 1334}
X(72614) = pole of line {3676, 18033} with respect to the polar circle
X(72614) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(461)}}, {{A, B, C, X(33), X(2212)}}, {{A, B, C, X(42), X(200)}}, {{A, B, C, X(65), X(4012)}}, {{A, B, C, X(210), X(3974)}}, {{A, B, C, X(213), X(2324)}}, {{A, B, C, X(281), X(607)}}, {{A, B, C, X(872), X(2318)}}, {{A, B, C, X(1039), X(40987)}}, {{A, B, C, X(1334), X(1500)}}, {{A, B, C, X(1400), X(3709)}}, {{A, B, C, X(1824), X(7046)}}, {{A, B, C, X(1826), X(55206)}}, {{A, B, C, X(1918), X(63461)}}, {{A, B, C, X(2175), X(60817)}}, {{A, B, C, X(3755), X(52020)}}, {{A, B, C, X(36124), X(40983)}}
X(72614) = barycentric product X(i)*X(j) for these (i, j): {10, 607}, {12, 2332}, {19, 210}, {27, 7064}, {33, 37}, {34, 4515}, {41, 41013}, {65, 7079}, {100, 55206}, {108, 4171}, {158, 52370}, {181, 2322}, {213, 318}, {220, 225}, {226, 7071}, {264, 72623}, {270, 762}, {281, 42}, {284, 7140}, {306, 6059}, {346, 57652}, {512, 65160}, {1018, 18344}, {1089, 2204}, {1096, 3694}, {1172, 756}, {1253, 40149}, {1334, 4}, {1400, 7046}, {1402, 7101}, {1426, 728}, {1474, 6057}, {1500, 29}, {1783, 4041}, {1802, 68628}, {1824, 9}, {1826, 55}, {1827, 56255}, {1857, 71}, {1880, 200}, {1897, 3709}, {1903, 40971}, {1918, 7017}, {1973, 3701}, {1974, 30713}, {2171, 4183}, {2189, 6535}, {2192, 53009}, {2207, 3710}, {2212, 321}, {2299, 594}, {2318, 393}, {2321, 25}, {2328, 8736}, {2331, 53013}, {2333, 8}, {2340, 68565}, {2357, 55116}, {2489, 3699}, {2501, 3939}, {3064, 4557}, {3690, 8748}, {3700, 8750}, {4069, 6591}, {4082, 608}, {4102, 72599}, {4105, 52607}, {4524, 653}, {4551, 65103}, {4578, 55208}, {4587, 58757}, {4705, 65201}, {4876, 862}, {5547, 70176}, {6335, 63461}, {6602, 68576}, {14624, 40976}, {14827, 57809}, {21075, 7154}, {21871, 7008}, {28044, 60677}, {30457, 53011}, {31623, 872}, {32635, 72594}, {33635, 430}, {36197, 7012}, {36797, 4079}, {36910, 44113}, {40982, 56258}, {40987, 56260}, {41320, 41506}, {44100, 60267}, {44130, 7109}, {44426, 69826}, {52335, 7115}, {52371, 68779}, {53008, 6}, {56157, 72596}, {56183, 661}, {56193, 65105}, {57386, 71217}, {57657, 7141}, {61178, 657}, {65207, 8641}, {65574, 7156}, {68800, 7077}, {72633, 92}
X(72614) = barycentric quotient X(i)/X(j) for these (i, j): {10, 57918}, {19, 57785}, {25, 1434}, {33, 274}, {37, 7182}, {41, 1444}, {42, 348}, {55, 17206}, {71, 7055}, {100, 55205}, {108, 4635}, {181, 56382}, {210, 304}, {213, 77}, {220, 332}, {225, 57792}, {228, 7183}, {270, 57949}, {281, 310}, {318, 6385}, {607, 86}, {644, 55202}, {650, 69830}, {663, 15419}, {756, 1231}, {762, 57807}, {862, 10030}, {872, 1214}, {1042, 30682}, {1172, 873}, {1253, 1812}, {1334, 69}, {1400, 7056}, {1402, 7177}, {1426, 23062}, {1474, 552}, {1500, 307}, {1783, 4625}, {1802, 68650}, {1824, 85}, {1826, 6063}, {1827, 16708}, {1840, 7205}, {1855, 53236}, {1857, 44129}, {1880, 1088}, {1918, 222}, {1973, 1014}, {1974, 1412}, {2175, 1790}, {2189, 6628}, {2200, 1804}, {2204, 757}, {2205, 603}, {2212, 81}, {2299, 1509}, {2318, 3926}, {2321, 305}, {2322, 18021}, {2332, 261}, {2333, 7}, {2357, 34400}, {2489, 3676}, {2501, 52621}, {2971, 53545}, {3063, 69828}, {3064, 52619}, {3690, 52565}, {3699, 52608}, {3701, 40364}, {3709, 4025}, {3710, 70249}, {3939, 4563}, {4041, 15413}, {4079, 17094}, {4082, 57919}, {4105, 15411}, {4171, 35518}, {4183, 52379}, {4515, 3718}, {4524, 6332}, {4557, 65164}, {4578, 55207}, {4876, 57987}, {6057, 40071}, {6059, 27}, {6335, 55213}, {6602, 1792}, {7046, 28660}, {7064, 306}, {7071, 333}, {7079, 314}, {7101, 40072}, {7109, 73}, {7140, 349}, {8020, 7195}, {8750, 4573}, {9447, 1437}, {14827, 283}, {14936, 17219}, {18344, 7199}, {21837, 57188}, {28044, 60735}, {30713, 40050}, {31623, 57992}, {32674, 4616}, {33635, 57854}, {36197, 17880}, {36797, 52612}, {40976, 16705}, {40982, 18600}, {40987, 16750}, {41013, 20567}, {44092, 3674}, {44100, 42028}, {44113, 17078}, {44162, 16947}, {50487, 51664}, {51858, 57738}, {52370, 326}, {52607, 52937}, {53008, 76}, {55206, 693}, {55208, 59941}, {56183, 799}, {57180, 57081}, {57204, 43924}, {57652, 279}, {58289, 57243}, {61178, 46406}, {61364, 52373}, {63461, 905}, {65103, 18155}, {65160, 670}, {65201, 4623}, {68800, 18033}, {69826, 6516}, {71243, 69663}, {72589, 70154}, {72596, 17169}, {72599, 553}, {72613, 16697}, {72623, 3}, {72624, 3916}, {72633, 63}, {72634, 4001}
X(72614) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {19, 2356, 40983}, {33, 40976, 40982}, {42, 1824, 57652}, {607, 7071, 2212}

X(72615) = {X(33), X(55)}-CROSS-CONCEVIAN PERSPECTOR

X(72615) lies on these lines: {33, 72613}, {42, 1824}, {73, 43213}, {2654, 6708}, {2658, 58889}, {2667, 72635}, {3725, 4516}, {20310, 40957}, {22350, 68672}, {40967, 58648}, {72595, 72600}

X(72615) = X(i)-isoconjugate-of-X(j) for these {i, j}: {77, 53044}, {1804, 57669}, {7335, 57834}
X(72615) = X(i)-Dao conjugate of X(j) for these {i, j}: {6708, 7182}, {18592, 310}
X(72615) = X(i)-Ceva conjugate of X(j) for these {i, j}: {58889, 72595}
X(72615) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(42), X(2658)}}, {{A, B, C, X(210), X(42385)}}, {{A, B, C, X(1824), X(58889)}}, {{A, B, C, X(1880), X(6708)}}, {{A, B, C, X(2654), X(57652)}}
X(72615) = barycentric product X(i)*X(j) for these (i, j): {8, 72595}, {19, 72586}, {42, 6708}, {210, 72602}, {312, 72600}, {318, 72572}, {1172, 72593}, {1826, 40946}, {2321, 72604}, {2654, 37}, {2658, 281}, {7079, 72579}, {18592, 33}, {42385, 71}, {53036, 55}, {53317, 8611}, {58889, 9}
X(72615) = barycentric quotient X(i)/X(j) for these (i, j): {408, 7183}, {607, 53044}, {2654, 274}, {2658, 348}, {6708, 310}, {18592, 7182}, {40946, 17206}, {42385, 44129}, {53036, 6063}, {58889, 85}, {72572, 77}, {72586, 304}, {72593, 1231}, {72595, 7}, {72600, 57}, {72602, 57785}, {72604, 1434}

X(72616) = {X(34), X(57)}-CROSS-CONCEVIAN PERSPECTOR

X(72616) lies on these lines: {1, 54035}, {34, 8747}, {42, 51657}, {51, 62266}, {57, 51651}, {73, 69543}, {181, 1964}, {217, 2179}, {604, 1395}, {1393, 18180}, {1397, 3248}, {1402, 20228}, {1460, 7032}, {1864, 45932}, {3791, 4551}, {40958, 57652}, {51641, 69470}, {72605, 72643}

X(72616) = X(i)-isoconjugate-of-X(j) for these {i, j}: {8, 95}, {9, 62276}, {21, 56189}, {54, 3596}, {55, 34384}, {75, 44687}, {78, 40440}, {97, 7017}, {219, 276}, {275, 345}, {281, 34386}, {312, 2167}, {313, 35196}, {314, 56254}, {318, 62277}, {333, 56246}, {645, 15412}, {1259, 8795}, {1264, 8884}, {2148, 28659}, {2190, 3718}, {2616, 7257}, {2623, 62534}, {3688, 41488}, {3703, 39287}, {3709, 55218}, {4033, 39177}, {6056, 57844}, {6063, 62265}, {6064, 8901}, {8882, 57919}, {13461, 16037}, {14573, 44159}, {16030, 62539}, {18831, 52355}, {36797, 62428}, {40363, 54034}, {52425, 57790}, {59734, 70898}
X(72616) = X(i)-Dao conjugate of X(j) for these {i, j}: {5, 3718}, {206, 44687}, {216, 28659}, {223, 34384}, {478, 62276}, {40588, 312}, {40611, 56189}, {52878, 44694}, {62602, 57790}, {63463, 4086}
X(72616) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1393, 72643}
X(72616) = X(i)-cross conjugate of X(j) for these {i, j}: {40981, 2179}
X(72616) = pole of line {3718, 44687} with respect to the Stammler hyperbola
X(72616) = intersection, other than A, B, C, of circumconics {{A, B, C, X(51), X(2179)}}, {{A, B, C, X(217), X(2206)}}, {{A, B, C, X(604), X(44708)}}, {{A, B, C, X(1393), X(1395)}}, {{A, B, C, X(1402), X(56412)}}, {{A, B, C, X(40981), X(72613)}}
X(72616) = barycentric product X(i)*X(j) for these (i, j): {4, 72643}, {5, 604}, {19, 30493}, {25, 44708}, {51, 57}, {53, 603}, {65, 72603}, {216, 34}, {217, 273}, {226, 72605}, {278, 62266}, {279, 72613}, {1119, 72591}, {1393, 6}, {1395, 343}, {1397, 14213}, {1400, 18180}, {1402, 17167}, {1407, 7069}, {1408, 21011}, {1412, 21807}, {1414, 55219}, {1415, 21102}, {1435, 44707}, {1625, 4017}, {1880, 44709}, {1953, 56}, {2148, 41279}, {2167, 62263}, {2179, 7}, {2181, 222}, {2617, 7180}, {3199, 77}, {3213, 8798}, {4077, 61194}, {14569, 7125}, {14570, 51641}, {15451, 65232}, {16697, 57652}, {17500, 72641}, {23181, 55208}, {23979, 60804}, {35307, 3733}, {40981, 85}, {41280, 62272}, {44706, 608}, {51640, 61193}, {51651, 60517}, {51664, 52604}, {61346, 7182}
X(72616) = barycentric quotient X(i)/X(j) for these (i, j): {5, 28659}, {32, 44687}, {34, 276}, {51, 312}, {56, 62276}, {57, 34384}, {216, 3718}, {217, 78}, {273, 57790}, {418, 3719}, {603, 34386}, {604, 95}, {608, 40440}, {1393, 76}, {1395, 275}, {1397, 2167}, {1400, 56189}, {1402, 56246}, {1414, 55218}, {1625, 7257}, {1953, 3596}, {2179, 8}, {2181, 7017}, {2617, 62534}, {3199, 318}, {7069, 59761}, {9447, 62265}, {14213, 40363}, {17167, 40072}, {18180, 28660}, {21807, 30713}, {23181, 55207}, {27374, 33299}, {30493, 304}, {35307, 27808}, {40981, 9}, {41279, 62272}, {41280, 2148}, {41281, 62269}, {44088, 2289}, {44706, 57919}, {44707, 52406}, {44708, 305}, {51640, 15414}, {51641, 15412}, {52411, 62277}, {52967, 44694}, {55219, 4086}, {61194, 643}, {61346, 33}, {62263, 14213}, {62266, 345}, {62272, 44159}, {65485, 8611}, {72591, 1265}, {72603, 314}, {72605, 333}, {72613, 346}, {72618, 3710}, {72643, 69}
X(72616) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {51, 62266, 72613}

X(72617) = {X(37), X(1)}-CROSS-CONCEVIAN PERSPECTOR

X(72617) lies on these lines: {37, 762}, {191, 16777}, {1962, 20970}, {2305, 3247}, {3125, 3743}, {4037, 58387}, {4065, 59218}, {4979, 6161}, {21839, 58380}, {42437, 51586}

X(72617) = X(i)-Dao conjugate of X(j) for these {i, j}: {3634, 274}, {51573, 32014}
X(72617) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1018, 4983}, {3723, 72535}, {72553, 42439}
X(72617) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1962), X(42439)}}, {{A, B, C, X(3723), X(21816)}}, {{A, B, C, X(20970), X(52555)}}
X(72617) = barycentric product X(i)*X(j) for these (i, j): {1, 42439}, {10, 72535}, {37, 72553}, {210, 34502}, {1213, 3723}, {1962, 3634}, {3982, 72588}, {4060, 72640}, {4115, 48019}, {20970, 4980}, {28175, 69842}, {58179, 61174}
X(72617) = barycentric quotient X(i)/X(j) for these (i, j): {3723, 32014}, {34502, 57785}, {42439, 75}, {72535, 86}, {72553, 274}

X(72618) = {X(37), X(72)}-CROSS-CONCEVIAN PERSPECTOR

X(72618) lies on these lines: {31, 32}, {37, 158}, {72, 42702}, {216, 44706}, {217, 62266}, {1783, 56254}, {2179, 40981}, {2181, 3199}, {2197, 21796}, {22342, 68731}

X(72618) = X(i)-isoconjugate-of-X(j) for these {i, j}: {27, 95}, {28, 62276}, {54, 44129}, {58, 276}, {81, 40440}, {86, 275}, {274, 2190}, {286, 2167}, {310, 8882}, {331, 35196}, {514, 18831}, {693, 65221}, {933, 3261}, {1459, 42405}, {1474, 34384}, {1790, 8795}, {2148, 57796}, {2206, 57790}, {2616, 55231}, {2623, 55229}, {4025, 16813}, {4091, 52779}, {4610, 66300}, {6385, 62268}, {8747, 34386}, {8884, 17206}, {17168, 39286}, {17171, 39287}, {17923, 39277}, {18026, 39177}, {18315, 46107}, {21102, 52939}, {52612, 58756}, {52919, 62428}, {65348, 69400}
X(72618) = X(i)-Dao conjugate of X(j) for these {i, j}: {5, 274}, {10, 276}, {130, 905}, {216, 57796}, {2972, 15413}, {15450, 693}, {39019, 40495}, {40586, 40440}, {40588, 286}, {40591, 62276}, {40600, 275}, {40603, 57790}, {51574, 34384}, {52032, 6385}, {63463, 17924}
X(72618) = X(i)-Ceva conjugate of X(j) for these {i, j}: {37, 21807}
X(72618) = pole of line {274, 18604} with respect to the Stammler hyperbola
X(72618) = pole of line {14298, 52589} with respect to the Steiner inellipse
X(72618) = intersection, other than A, B, C, of circumconics {{A, B, C, X(5), X(33718)}}, {{A, B, C, X(31), X(158)}}, {{A, B, C, X(32), X(216)}}, {{A, B, C, X(41), X(72613)}}, {{A, B, C, X(51), X(5320)}}, {{A, B, C, X(228), X(21807)}}, {{A, B, C, X(281), X(52425)}}, {{A, B, C, X(343), X(1185)}}, {{A, B, C, X(406), X(418)}}, {{A, B, C, X(766), X(6368)}}, {{A, B, C, X(1953), X(2304)}}, {{A, B, C, X(2197), X(56319)}}, {{A, B, C, X(2200), X(52426)}}, {{A, B, C, X(2210), X(44709)}}, {{A, B, C, X(2223), X(15451)}}, {{A, B, C, X(14571), X(42293)}}, {{A, B, C, X(16697), X(72267)}}, {{A, B, C, X(21814), X(42698)}}, {{A, B, C, X(30493), X(60722)}}, {{A, B, C, X(42702), X(56186)}}, {{A, B, C, X(65485), X(72266)}}
X(72618) = barycentric product X(i)*X(j) for these (i, j): {10, 62266}, {32, 42698}, {42, 44706}, {51, 72}, {100, 15451}, {210, 30493}, {213, 343}, {216, 37}, {217, 321}, {226, 72591}, {228, 5}, {307, 72613}, {1332, 55219}, {1334, 44708}, {1393, 2318}, {1500, 16697}, {1625, 55232}, {1824, 5562}, {1953, 71}, {2179, 306}, {2181, 3682}, {2205, 28706}, {2321, 72643}, {2599, 8606}, {2617, 55230}, {2618, 32656}, {3198, 8798}, {3199, 3998}, {3695, 72605}, {3710, 72616}, {3949, 72603}, {3990, 53}, {6368, 692}, {7069, 73}, {12077, 906}, {14213, 2200}, {17434, 1783}, {18180, 3690}, {18695, 1918}, {20336, 40981}, {21011, 48}, {21807, 3}, {23181, 4705}, {27372, 4463}, {35307, 652}, {41013, 418}, {42293, 6335}, {42702, 60517}, {44707, 65}, {44709, 756}, {44710, 4516}, {52604, 57109}, {53174, 5360}, {56254, 61378}, {65485, 668}
X(72618) = barycentric quotient X(i)/X(j) for these (i, j): {5, 57796}, {37, 276}, {42, 40440}, {51, 286}, {71, 62276}, {72, 34384}, {213, 275}, {216, 274}, {217, 81}, {228, 95}, {321, 57790}, {343, 6385}, {418, 1444}, {692, 18831}, {1332, 55218}, {1625, 55231}, {1783, 42405}, {1824, 8795}, {1918, 2190}, {1953, 44129}, {2179, 27}, {2200, 2167}, {2205, 8882}, {2617, 55229}, {3690, 56189}, {3990, 34386}, {4055, 62277}, {6368, 40495}, {7069, 44130}, {15451, 693}, {17434, 15413}, {21011, 1969}, {21807, 264}, {23181, 4623}, {30493, 57785}, {32739, 65221}, {35307, 46404}, {40981, 28}, {41013, 57844}, {42293, 905}, {42698, 1502}, {44088, 1437}, {44706, 310}, {44707, 314}, {44709, 873}, {46394, 16697}, {50487, 66300}, {55219, 17924}, {58305, 4131}, {61346, 5317}, {62266, 86}, {65485, 513}, {72569, 16747}, {72591, 333}, {72613, 29}, {72643, 1434}
X(72618) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {62266, 72591, 217}

X(72619) = {X(37), X(80)}-CROSS-CONCEVIAN PERSPECTOR

X(72619) lies on circumconic {{A, B, C, X(3724), X(4736)}} and on these lines: {37, 80}, {1030, 61197}, {1500, 21833}, {2092, 2294}, {2948, 36261}, {3002, 21839}, {3121, 20970}, {4736, 35069}, {21797, 21824}, {21815, 52065}, {21816, 36197}

X(72619) = X(i)-isoconjugate-of-X(j) for these {i, j}: {58, 57555}, {1434, 62713}
X(72619) = X(i)-Dao conjugate of X(j) for these {i, j}: {10, 57555}, {758, 274}
X(72619) = barycentric product X(i)*X(j) for these (i, j): {42, 4736}, {210, 3028}, {1824, 65746}, {2245, 4053}, {3701, 61060}, {4705, 68154}, {21828, 68819}, {35069, 37}
X(72619) = barycentric quotient X(i)/X(j) for these (i, j): {37, 57555}, {3028, 57785}, {4736, 310}, {35069, 274}, {52059, 763}, {61060, 1014}, {68154, 4623}, {72633, 62713}

X(72620) = {X(38), X(39)}-CROSS-CONCEVIAN PERSPECTOR

X(72620) lies on these lines: {10, 58367}, {38, 1930}, {39, 4093}, {718, 21226}, {726, 3728}, {740, 25264}, {756, 22011}, {984, 71500}, {1962, 20456}, {2292, 4712}, {2667, 20963}, {3122, 21816}, {3125, 21700}, {3743, 40774}, {3747, 5299}, {3778, 25354}, {3954, 20969}, {4099, 22167}, {8625, 69282}, {17746, 23659}, {20888, 21020}, {27785, 63497}, {33935, 69624}

X(72620) = perspector of circumconic {{A, B, C, X(35309), X(55239)}}
X(72620) = X(i)-isoconjugate-of-X(j) for these {i, j}: {82, 40439}, {83, 40408}, {4577, 50520}, {4599, 72049}, {18098, 59147}, {32009, 52376}, {40433, 52394}
X(72620) = X(i)-Dao conjugate of X(j) for these {i, j}: {141, 40439}, {3121, 10566}, {3124, 72049}, {3739, 3112}
X(72620) = X(i)-Ceva conjugate of X(j) for these {i, j}: {4568, 2084}
X(72620) = pole of line {40439, 46289} with respect to the Stammler hyperbola
X(72620) = intersection, other than A, B, C, of circumconics {{A, B, C, X(38), X(21020)}}, {{A, B, C, X(1930), X(2667)}}, {{A, B, C, X(3954), X(16703)}}, {{A, B, C, X(16887), X(20888)}}
X(72620) = barycentric product X(i)*X(j) for these (i, j): {141, 2667}, {427, 72649}, {1500, 70153}, {1930, 21753}, {1964, 53478}, {2084, 53363}, {2530, 61163}, {3005, 70145}, {3665, 72589}, {3691, 69668}, {3703, 72642}, {3720, 3954}, {4436, 8061}, {4568, 50497}, {8024, 72608}, {15523, 20963}, {16589, 38}, {16696, 21699}, {16887, 21820}, {17187, 52579}, {20883, 22369}, {20888, 21814}, {21016, 22060}, {21020, 39}, {21035, 3739}, {33299, 39793}, {35309, 6372}, {41267, 72268}, {46148, 48393}, {70144, 826}
X(72620) = barycentric quotient X(i)/X(j) for these (i, j): {39, 40439}, {1964, 40408}, {2084, 50520}, {2667, 83}, {3005, 72049}, {4436, 4593}, {16589, 3112}, {17187, 59147}, {20963, 52394}, {21020, 308}, {21035, 32009}, {21699, 56186}, {21753, 82}, {21814, 40433}, {21820, 18082}, {22369, 34055}, {41267, 57397}, {50497, 10566}, {50538, 18070}, {52579, 56251}, {53363, 37204}, {53478, 18833}, {70144, 4577}, {70145, 689}, {72265, 52376}, {72608, 251}, {72636, 56245}, {72649, 1799}
X(72620) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2667, 72649, 72608}

X(72621) = {X(39), X(38)}-CROSS-CONCEVIAN PERSPECTOR

X(72621) lies on these lines: {39, 3051}, {672, 2092}, {1015, 14751}, {1185, 4261}, {1211, 70998}, {1213, 1230}, {2238, 3219}, {2240, 17596}, {2308, 20970}, {3122, 21820}, {3124, 20671}, {3948, 71447}, {3989, 16589}, {4093, 21035}, {4272, 60697}, {8040, 21816}, {20868, 23447}, {22428, 47430}, {63604, 68936}

X(72621) = perspector of circumconic {{A, B, C, X(1634), X(35327)}}
X(72621) = X(i)-isoconjugate-of-X(j) for these {i, j}: {82, 32014}, {83, 40438}, {1171, 3112}, {1255, 52394}, {1268, 52376}, {4577, 47947}, {4593, 50344}, {4596, 10566}, {4599, 4608}, {4632, 18108}, {6540, 39179}, {6578, 18070}, {52558, 56186}, {58784, 62535}
X(72621) = X(i)-Dao conjugate of X(j) for these {i, j}: {141, 32014}, {1125, 308}, {3124, 4608}, {34452, 1171}, {55050, 50344}
X(72621) = X(i)-Ceva conjugate of X(j) for these {i, j}: {4427, 8663}, {46148, 3005}
X(72621) = pole of line {688, 50487} with respect to the Brocard inellipse
X(72621) = pole of line {83, 17398} with respect to the Stammler hyperbola
X(72621) = pole of line {308, 1171} with respect to the Wallace hyperbola
X(72621) = intersection, other than A, B, C, of circumconics {{A, B, C, X(39), X(1230)}}, {{A, B, C, X(430), X(14096)}}, {{A, B, C, X(1213), X(3051)}}, {{A, B, C, X(1269), X(2308)}}, {{A, B, C, X(1962), X(4093)}}, {{A, B, C, X(3917), X(22080)}}, {{A, B, C, X(4359), X(21814)}}, {{A, B, C, X(8623), X(8663)}}, {{A, B, C, X(21816), X(62588)}}
X(72621) = barycentric product X(i)*X(j) for these (i, j): {141, 20970}, {1100, 3954}, {1125, 21035}, {1213, 39}, {1230, 3051}, {1269, 41267}, {1401, 4046}, {1634, 6367}, {1843, 41014}, {1930, 72606}, {1962, 38}, {1964, 4647}, {2084, 65161}, {2530, 69842}, {3005, 4427}, {3649, 3688}, {3665, 72634}, {3683, 69668}, {3703, 72639}, {3917, 430}, {3933, 72599}, {4553, 4983}, {4576, 8663}, {8024, 72612}, {15523, 2308}, {16696, 21816}, {16887, 72625}, {17187, 8013}, {17442, 3958}, {20775, 44143}, {20883, 72628}, {21016, 22054}, {21123, 4115}, {21814, 4359}, {22080, 427}, {33299, 72640}, {35309, 4979}, {35327, 826}, {35342, 8061}, {46148, 4988}, {50521, 61174}, {51417, 51869}
X(72621) = barycentric quotient X(i)/X(j) for these (i, j): {39, 32014}, {430, 46104}, {688, 50344}, {1213, 308}, {1230, 40016}, {1962, 3112}, {1964, 40438}, {2084, 47947}, {2308, 52394}, {3005, 4608}, {3051, 1171}, {3917, 57854}, {3954, 32018}, {4046, 62539}, {4427, 689}, {4647, 18833}, {6367, 52618}, {8013, 56251}, {8663, 58784}, {20775, 57685}, {20970, 83}, {21035, 1268}, {21814, 1255}, {21816, 56186}, {22080, 1799}, {35327, 4577}, {35342, 4593}, {41267, 1126}, {44143, 68630}, {46148, 4632}, {65161, 37204}, {72599, 32085}, {72606, 82}, {72612, 251}, {72624, 56245}, {72625, 18082}, {72628, 34055}
X(72621) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2092, 21753, 61324}, {20966, 21838, 3124}, {20970, 22080, 72612}

X(72622) = {X(40), X(1)}-CROSS-CONCEVIAN PERSPECTOR

X(72622) lies on these lines: {1, 59263}, {40, 329}, {42, 42448}, {46, 28270}, {55, 33587}, {73, 2390}, {221, 2187}, {1201, 22344}, {1259, 65605}, {1473, 3915}, {1475, 2179}, {1828, 2347}, {2183, 37567}, {2357, 64022}, {2800, 63397}, {3057, 42549}, {3214, 67494}, {3937, 4322}, {6736, 21362}, {10310, 52092}, {20368, 68600}, {21361, 43174}, {22053, 23846}, {22072, 23845}, {24280, 63130}, {25941, 67968}, {40611, 61057}

X(72622) = reflection of X(i) in X(j) for these {i,j}: {73, 23844}
X(72622) = X(i)-isoconjugate-of-X(j) for these {i, j}: {84, 1222}, {189, 23617}, {271, 40446}, {280, 1476}, {282, 40420}, {285, 56173}, {309, 51476}, {1261, 1440}, {1422, 52549}, {1436, 32017}, {3451, 34404}, {13138, 56323}, {44327, 62748}
X(72622) = X(i)-Dao conjugate of X(j) for these {i, j}: {3452, 309}, {3752, 57793}, {59507, 44190}
X(72622) = X(i)-Ceva conjugate of X(j) for these {i, j}: {3057, 1201}
X(72622) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(221), X(1201)}}, {{A, B, C, X(329), X(1828)}}, {{A, B, C, X(2347), X(7114)}}
X(72622) = barycentric product X(i)*X(j) for these (i, j): {196, 22072}, {198, 3663}, {221, 3452}, {223, 3057}, {1103, 42549}, {1122, 2324}, {1201, 329}, {1817, 4642}, {1828, 64082}, {2187, 26563}, {2347, 347}, {2360, 4415}, {3752, 40}, {6611, 6736}, {14298, 62754}, {14837, 23845}, {18163, 227}, {20228, 322}, {20895, 2199}, {21120, 57118}, {21362, 6129}, {21796, 8822}, {22344, 64211}, {23113, 54239}, {52563, 7074}, {59173, 7080}, {65159, 6615}
X(72622) = barycentric quotient X(i)/X(j) for these (i, j): {40, 32017}, {198, 1222}, {221, 40420}, {1201, 189}, {1828, 64988}, {2187, 23617}, {2199, 1476}, {2347, 280}, {3057, 34404}, {3209, 40446}, {3452, 57793}, {3663, 44190}, {3752, 309}, {7074, 52549}, {18163, 57795}, {20228, 84}, {21796, 39130}, {22072, 44189}, {22344, 41081}, {23845, 44327}, {40982, 7003}, {59173, 1440}
X(72622) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2390, 23844, 73}

X(72623) = {X(41), X(31)}-CROSS-CONCEVIAN PERSPECTOR

X(72623) lies on these lines: {6, 18613}, {10, 21918}, {31, 9454}, {41, 55}, {42, 56853}, {101, 171}, {181, 51436}, {213, 1402}, {218, 23853}, {228, 39258}, {284, 60711}, {333, 2329}, {644, 56181}, {672, 16678}, {940, 9310}, {1174, 1438}, {1212, 23623}, {1501, 9459}, {1918, 2205}, {2174, 17735}, {2175, 9447}, {2194, 51858}, {2238, 60726}, {2279, 16878}, {2304, 14974}, {2321, 3684}, {3051, 72266}, {3185, 5364}, {3204, 4386}, {3217, 37658}, {3744, 70647}, {3750, 4251}, {3752, 23622}, {3971, 69901}, {4042, 4390}, {4090, 61164}, {4463, 70928}, {6059, 72614}, {6603, 21334}, {16583, 23621}, {18899, 70658}, {20967, 40972}, {21034, 71619}, {21329, 25070}, {21753, 72600}, {21779, 51319}, {21795, 72635}, {21874, 22061}, {22277, 23398}, {23404, 23415}, {40728, 62420}, {53129, 53280}, {56530, 71934}, {60714, 69085}, {72624, 72633}

X(72623) = reflection of X(i) in X(j) for these {i,j}: {21329, 25070}
X(72623) = perspector of circumconic {{A, B, C, X(3939), X(18265)}}
X(72623) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 57785}, {7, 274}, {12, 57949}, {21, 57792}, {27, 7182}, {28, 57918}, {56, 6385}, {57, 310}, {58, 20567}, {75, 1434}, {76, 1014}, {77, 44129}, {81, 6063}, {85, 86}, {99, 24002}, {222, 57796}, {226, 873}, {261, 1446}, {269, 28660}, {273, 17206}, {279, 314}, {286, 348}, {305, 1396}, {321, 552}, {331, 1444}, {332, 1847}, {333, 1088}, {349, 757}, {514, 4625}, {522, 4635}, {561, 1412}, {645, 59941}, {649, 55213}, {651, 52619}, {653, 69830}, {658, 18155}, {662, 52621}, {664, 7199}, {668, 17096}, {670, 3669}, {693, 4573}, {763, 34388}, {799, 3676}, {1019, 4572}, {1021, 52937}, {1043, 23062}, {1111, 4620}, {1170, 53236}, {1333, 41283}, {1358, 4601}, {1400, 57992}, {1407, 40072}, {1408, 1502}, {1414, 3261}, {1427, 18021}, {1441, 1509}, {1447, 40017}, {1790, 57787}, {1928, 16947}, {1978, 7203}, {2287, 57880}, {3668, 52379}, {3737, 46406}, {4017, 52612}, {4077, 4610}, {4391, 4616}, {4554, 7192}, {4560, 4569}, {4565, 40495}, {4602, 43924}, {4609, 57181}, {4615, 69753}, {4623, 7178}, {4634, 30725}, {4637, 35519}, {4639, 43041}, {4998, 16727}, {6358, 6628}, {7056, 31623}, {7177, 44130}, {7185, 38810}, {7196, 32010}, {7205, 40432}, {7209, 33296}, {7212, 65285}, {7233, 30940}, {7249, 8033}, {7253, 36838}, {7257, 58817}, {7340, 16732}, {7341, 27801}, {7649, 55205}, {8817, 16750}, {10030, 18827}, {14256, 57795}, {14616, 17078}, {15419, 18026}, {16705, 31643}, {16708, 21453}, {16713, 42311}, {16737, 65289}, {16739, 64984}, {16749, 34399}, {16755, 65292}, {17094, 55231}, {17169, 31618}, {17177, 72447}, {17205, 67038}, {18033, 37128}, {18157, 56783}, {23599, 55281}, {23829, 34085}, {24037, 53545}, {24471, 40827}, {30941, 34018}, {34537, 53540}, {40004, 55082}, {40415, 69663}, {41629, 62528}, {43923, 52608}, {43930, 55260}, {43932, 62534}, {45208, 59148}, {46404, 69828}, {51664, 55229}, {52393, 52421}, {53649, 57247}, {56382, 57779}, {60735, 62784}
X(72623) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 6385}, {10, 20567}, {37, 41283}, {206, 1434}, {512, 53545}, {1084, 52621}, {2887, 69663}, {5375, 55213}, {5452, 310}, {6600, 28660}, {24771, 40072}, {32664, 57785}, {34961, 52612}, {38986, 24002}, {38991, 52619}, {38996, 3676}, {39025, 7199}, {40368, 1412}, {40369, 16947}, {40582, 57992}, {40586, 6063}, {40591, 57918}, {40599, 561}, {40600, 85}, {40607, 349}, {40608, 3261}, {40611, 57792}, {55064, 40495}, {59577, 1502}
X(72623) = X(i)-Ceva conjugate of X(j) for these {i, j}: {41, 72633}, {213, 1918}, {69826, 63461}
X(72623) = pole of line {1434, 10030} with respect to the Stammler hyperbola
X(72623) = pole of line {30047, 30097} with respect to the Wallace hyperbola
X(72623) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(32), X(4258)}}, {{A, B, C, X(41), X(2205)}}, {{A, B, C, X(42), X(2340)}}, {{A, B, C, X(55), X(1402)}}, {{A, B, C, X(210), X(4517)}}, {{A, B, C, X(213), X(220)}}, {{A, B, C, X(512), X(2389)}}, {{A, B, C, X(669), X(8647)}}, {{A, B, C, X(872), X(2318)}}, {{A, B, C, X(1174), X(9454)}}, {{A, B, C, X(1200), X(62192)}}, {{A, B, C, X(1334), X(7109)}}, {{A, B, C, X(1400), X(8012)}}, {{A, B, C, X(1802), X(2200)}}, {{A, B, C, X(1974), X(44098)}}, {{A, B, C, X(2194), X(70661)}}, {{A, B, C, X(2333), X(40978)}}, {{A, B, C, X(16584), X(40729)}}, {{A, B, C, X(18265), X(60713)}}, {{A, B, C, X(57657), X(72612)}}
X(72623) = barycentric product X(i)*X(j) for these (i, j): {1, 72633}, {3, 72614}, {10, 2175}, {19, 52370}, {21, 872}, {37, 41}, {42, 55}, {58, 7064}, {100, 63461}, {101, 3709}, {109, 4524}, {181, 2328}, {184, 53008}, {210, 31}, {213, 9}, {219, 2333}, {228, 33}, {294, 39258}, {313, 9448}, {321, 9447}, {333, 7109}, {607, 71}, {644, 798}, {650, 69826}, {1018, 3063}, {1020, 57180}, {1042, 480}, {1043, 61364}, {1110, 4516}, {1126, 72634}, {1174, 21795}, {1253, 65}, {1255, 72624}, {1260, 57652}, {1334, 6}, {1397, 4082}, {1400, 220}, {1402, 200}, {1409, 7079}, {1415, 4171}, {1427, 6602}, {1500, 284}, {1501, 30713}, {1802, 1880}, {1824, 212}, {1826, 52425}, {1857, 4055}, {1911, 4433}, {1918, 8}, {1919, 30730}, {1922, 3985}, {1924, 646}, {1973, 3694}, {1974, 3710}, {2149, 36197}, {2150, 762}, {2187, 53013}, {2194, 756}, {2197, 2332}, {2200, 281}, {2204, 3949}, {2205, 312}, {2206, 6057}, {2212, 72}, {2238, 51858}, {2299, 3690}, {2311, 66878}, {2316, 52963}, {2318, 25}, {2321, 32}, {2329, 40729}, {2330, 66971}, {2338, 51436}, {2340, 56853}, {2342, 51377}, {2344, 3774}, {2357, 7074}, {2361, 34857}, {2489, 4587}, {3049, 65160}, {3120, 6066}, {3122, 6065}, {3682, 6059}, {3699, 669}, {3701, 560}, {3724, 52371}, {3747, 7077}, {3939, 512}, {3971, 70043}, {4041, 692}, {4069, 667}, {4079, 5546}, {4095, 7104}, {4102, 72612}, {4105, 53321}, {4515, 604}, {4518, 70661}, {4531, 983}, {4551, 8641}, {4557, 663}, {4559, 657}, {4578, 51641}, {4600, 7063}, {4636, 58289}, {4705, 65375}, {7071, 73}, {8653, 8694}, {10482, 52020}, {14407, 5548}, {14827, 226}, {18098, 40972}, {18265, 740}, {20229, 56255}, {20683, 2195}, {20691, 57264}, {20970, 33635}, {21044, 23990}, {21750, 56243}, {21759, 3208}, {21808, 59141}, {21814, 56245}, {21871, 7118}, {28615, 72588}, {32635, 72606}, {32739, 3700}, {40433, 72636}, {40935, 56180}, {40965, 7084}, {41333, 4876}, {50487, 643}, {52139, 60817}, {53581, 645}, {55206, 906}, {56157, 72609}, {56183, 810}, {56254, 72613}, {57397, 72589}, {57657, 594}, {59149, 63462}, {59272, 60713}, {60711, 69934}, {66975, 7256}, {72047, 72608}
X(72623) = barycentric quotient X(i)/X(j) for these (i, j): {9, 6385}, {10, 41283}, {21, 57992}, {31, 57785}, {32, 1434}, {33, 57796}, {37, 20567}, {41, 274}, {42, 6063}, {55, 310}, {71, 57918}, {100, 55213}, {200, 40072}, {210, 561}, {213, 85}, {220, 28660}, {228, 7182}, {313, 41287}, {512, 52621}, {560, 1014}, {607, 44129}, {644, 4602}, {663, 52619}, {669, 3676}, {692, 4625}, {798, 24002}, {872, 1441}, {906, 55205}, {1042, 57880}, {1084, 53545}, {1253, 314}, {1334, 76}, {1400, 57792}, {1402, 1088}, {1415, 4635}, {1500, 349}, {1501, 1412}, {1824, 57787}, {1917, 1408}, {1918, 7}, {1919, 17096}, {1924, 3669}, {1946, 69830}, {1980, 7203}, {2150, 57949}, {2175, 86}, {2194, 873}, {2200, 348}, {2205, 57}, {2206, 552}, {2212, 286}, {2293, 53236}, {2318, 305}, {2321, 1502}, {2328, 18021}, {2333, 331}, {3063, 7199}, {3694, 40364}, {3699, 4609}, {3701, 1928}, {3709, 3261}, {3710, 40050}, {3747, 18033}, {3774, 69662}, {3939, 670}, {3985, 44169}, {4041, 40495}, {4055, 7055}, {4069, 6386}, {4082, 40363}, {4117, 53540}, {4433, 18891}, {4515, 28659}, {4524, 35519}, {4531, 33930}, {4557, 4572}, {4559, 46406}, {4587, 52608}, {5546, 52612}, {6066, 4600}, {7063, 3120}, {7064, 313}, {7071, 44130}, {7109, 226}, {8022, 7248}, {8638, 23829}, {8641, 18155}, {9233, 16947}, {9426, 43924}, {9447, 81}, {9448, 58}, {14827, 333}, {16584, 69663}, {18265, 18827}, {20229, 16708}, {20964, 7205}, {20967, 16739}, {21034, 17076}, {21751, 41777}, {21759, 7209}, {21795, 1233}, {21815, 16888}, {21819, 20236}, {23990, 4620}, {30713, 40362}, {32739, 4573}, {39258, 40704}, {40935, 7185}, {40972, 16703}, {41267, 3665}, {41333, 10030}, {50487, 4077}, {51641, 59941}, {51858, 40017}, {52020, 63227}, {52370, 304}, {52425, 17206}, {53008, 18022}, {53321, 52937}, {53581, 7178}, {56180, 59146}, {56183, 57968}, {57657, 1509}, {61364, 3668}, {63461, 693}, {63462, 23100}, {65375, 4623}, {66982, 68161}, {69826, 4554}, {70661, 1447}, {72321, 64224}, {72589, 72268}, {72608, 4059}, {72609, 17169}, {72612, 553}, {72614, 264}, {72624, 4359}, {72633, 75}, {72634, 1269}, {72636, 20888}
X(72623) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2175, 14827, 9447}, {2205, 7109, 1918}

X(72624) = {X(41), X(55)}-CROSS-CONCEVIAN PERSPECTOR

X(72624) lies on these lines: {41, 212}, {55, 72589}, {584, 24511}, {872, 2205}, {2348, 21811}, {3683, 72588}, {3725, 41333}, {3985, 70722}, {4262, 7262}, {4697, 35342}, {20970, 72628}, {21753, 72607}, {40952, 69730}, {72599, 72625}, {72606, 72612}, {72623, 72633}

X(72624) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 32014}, {85, 40438}, {278, 57854}, {331, 57685}, {349, 52558}, {552, 6539}, {1014, 32018}, {1171, 6063}, {1255, 57785}, {1268, 1434}, {3676, 4632}, {4077, 62535}, {4573, 4608}, {4596, 24002}, {4625, 47947}, {4629, 52621}, {6540, 17096}, {52421, 65048}
X(72624) = X(i)-Dao conjugate of X(j) for these {i, j}: {1125, 20567}, {59592, 6385}
X(72624) = X(i)-Ceva conjugate of X(j) for these {i, j}: {20970, 72606}
X(72624) = intersection, other than A, B, C, of circumconics {{A, B, C, X(212), X(72625)}}, {{A, B, C, X(430), X(36020)}}, {{A, B, C, X(2194), X(3683)}}, {{A, B, C, X(57657), X(72612)}}
X(72624) = barycentric product X(i)*X(j) for these (i, j): {1, 72634}, {6, 72588}, {8, 72606}, {21, 72625}, {31, 4046}, {78, 72599}, {200, 72639}, {210, 2308}, {212, 430}, {213, 3686}, {219, 72594}, {220, 72640}, {281, 72628}, {312, 72612}, {643, 8663}, {663, 69842}, {1100, 1334}, {1125, 72633}, {1213, 41}, {1230, 9447}, {1253, 3649}, {1839, 52370}, {1918, 3702}, {1962, 55}, {2175, 4647}, {2194, 8013}, {2212, 41014}, {2318, 2355}, {3063, 4115}, {3683, 42}, {3916, 72614}, {3939, 4983}, {3958, 607}, {4069, 50512}, {4359, 72623}, {4427, 63461}, {4524, 61225}, {4976, 69826}, {6367, 65375}, {20970, 9}, {21816, 284}, {22080, 33}, {23201, 53008}, {30729, 798}, {35327, 4041}, {35339, 8653}, {35342, 3709}, {36075, 4171}, {56245, 72621}, {61170, 657}, {69840, 7064}
X(72624) = barycentric quotient X(i)/X(j) for these (i, j): {41, 32014}, {212, 57854}, {430, 57787}, {1213, 20567}, {1334, 32018}, {1962, 6063}, {2175, 40438}, {2308, 57785}, {3683, 310}, {3686, 6385}, {3958, 57918}, {4046, 561}, {4427, 55213}, {4647, 41283}, {4983, 52621}, {8663, 4077}, {9447, 1171}, {20970, 85}, {21816, 349}, {22080, 7182}, {30729, 4602}, {35327, 4625}, {36075, 4635}, {61170, 46406}, {63461, 4608}, {69842, 4572}, {72588, 76}, {72594, 331}, {72599, 273}, {72606, 7}, {72612, 57}, {72623, 1255}, {72625, 1441}, {72628, 348}, {72633, 1268}, {72634, 75}, {72639, 1088}, {72640, 57792}

X(72625) = {X(42), X(37)}-CROSS-CONCEVIAN PERSPECTOR

X(72625) lies on these lines: {1, 24530}, {6, 31}, {10, 4687}, {35, 59243}, {37, 21699}, {100, 1963}, {141, 4062}, {291, 40433}, {740, 21730}, {749, 66638}, {872, 1500}, {1100, 69842}, {1126, 35468}, {1213, 1962}, {1269, 4970}, {1326, 33771}, {2054, 4557}, {2092, 2667}, {3178, 4429}, {3293, 69550}, {3747, 4272}, {3795, 17381}, {3826, 27577}, {3943, 21713}, {4026, 20653}, {4039, 4360}, {4053, 23928}, {4065, 52576}, {4079, 22260}, {4446, 17018}, {4698, 59219}, {4972, 27567}, {5224, 17592}, {6155, 69616}, {17319, 69899}, {20970, 72606}, {21022, 71141}, {21043, 21698}, {21081, 32784}, {21690, 23934}, {21810, 70370}, {21820, 61324}, {21857, 37593}, {21892, 25422}, {23929, 34247}, {24523, 42042}, {26772, 27804}, {26979, 67024}, {27697, 57040}, {30571, 31248}, {38836, 52558}, {50587, 50616}, {69730, 72633}, {72599, 72624}

X(72625) = perspector of circumconic {{A, B, C, X(101), X(4115)}}
X(72625) = X(i)-isoconjugate-of-X(j) for these {i, j}: {28, 57854}, {75, 52558}, {81, 32014}, {86, 40438}, {274, 1171}, {286, 57685}, {514, 62535}, {552, 32635}, {593, 32018}, {757, 1268}, {763, 6539}, {873, 1126}, {1019, 4632}, {1255, 1509}, {4596, 7192}, {4608, 52935}, {4610, 47947}, {4623, 50344}, {4629, 7199}, {34016, 65048}, {51314, 59194}, {52555, 57949}
X(72625) = X(i)-Dao conjugate of X(j) for these {i, j}: {206, 52558}, {1125, 310}, {3120, 52619}, {3647, 873}, {21709, 850}, {40586, 32014}, {40591, 57854}, {40600, 40438}, {40607, 1268}, {59592, 18021}, {62588, 57992}
X(72625) = X(i)-Ceva conjugate of X(j) for these {i, j}: {42, 20970}, {1962, 21816}, {2054, 66878}, {4557, 4079}
X(72625) = pole of line {86, 4683} with respect to the Stammler hyperbola
X(72625) = pole of line {6586, 47996} with respect to the Steiner inellipse
X(72625) = pole of line {2140, 4751} with respect to the dual conic of Yff parabola
X(72625) = intersection, other than A, B, C, of circumconics {{A, B, C, X(6), X(1213)}}, {{A, B, C, X(31), X(872)}}, {{A, B, C, X(37), X(59218)}}, {{A, B, C, X(42), X(8013)}}, {{A, B, C, X(55), X(4046)}}, {{A, B, C, X(291), X(21699)}}, {{A, B, C, X(430), X(1011)}}, {{A, B, C, X(512), X(40096)}}, {{A, B, C, X(674), X(6367)}}, {{A, B, C, X(749), X(756)}}, {{A, B, C, X(902), X(8663)}}, {{A, B, C, X(1100), X(1914)}}, {{A, B, C, X(1125), X(72265)}}, {{A, B, C, X(1206), X(4359)}}, {{A, B, C, X(1269), X(2309)}}, {{A, B, C, X(2054), X(2308)}}, {{A, B, C, X(2171), X(41423)}}, {{A, B, C, X(3649), X(20992)}}, {{A, B, C, X(4079), X(17735)}}, {{A, B, C, X(4647), X(70815)}}, {{A, B, C, X(4983), X(72252)}}, {{A, B, C, X(4988), X(69074)}}, {{A, B, C, X(21035), X(52576)}}, {{A, B, C, X(61364), X(72612)}}
X(72625) = barycentric product X(i)*X(j) for these (i, j): {1, 21816}, {6, 8013}, {10, 20970}, {32, 52576}, {65, 72588}, {72, 72594}, {101, 6367}, {181, 3686}, {190, 8663}, {210, 72640}, {213, 4647}, {226, 72634}, {306, 72599}, {313, 72612}, {321, 72606}, {430, 71}, {553, 7064}, {661, 69842}, {1018, 4983}, {1100, 756}, {1125, 1500}, {1213, 42}, {1230, 1918}, {1269, 7109}, {1334, 3649}, {1400, 4046}, {1441, 72624}, {1824, 3958}, {1826, 22080}, {1839, 3690}, {1962, 37}, {2171, 3683}, {2200, 44143}, {2308, 594}, {2321, 72639}, {2333, 41014}, {2355, 3949}, {4041, 61170}, {4079, 4427}, {4103, 50512}, {4115, 512}, {4359, 872}, {4557, 4988}, {4970, 6378}, {18082, 72621}, {22054, 7140}, {30591, 69826}, {30729, 66928}, {35327, 4024}, {35342, 4705}, {40521, 4979}, {41013, 72628}, {50487, 65161}, {52555, 8040}, {59218, 59272}, {61174, 798}, {69840, 762}
X(72625) = barycentric quotient X(i)/X(j) for these (i, j): {32, 52558}, {42, 32014}, {71, 57854}, {213, 40438}, {430, 44129}, {692, 62535}, {756, 32018}, {872, 1255}, {1100, 873}, {1213, 310}, {1500, 1268}, {1918, 1171}, {1962, 274}, {2200, 57685}, {2308, 1509}, {3683, 52379}, {3686, 18021}, {4046, 28660}, {4079, 4608}, {4115, 670}, {4359, 57992}, {4427, 52612}, {4557, 4632}, {4647, 6385}, {4983, 7199}, {4988, 52619}, {6367, 3261}, {7064, 4102}, {7109, 1126}, {8013, 76}, {8040, 52572}, {8663, 514}, {20970, 86}, {21816, 75}, {22080, 17206}, {32739, 6578}, {35327, 4610}, {35342, 4623}, {50487, 47947}, {52576, 1502}, {53581, 50344}, {58289, 31010}, {61170, 4625}, {61174, 4602}, {69826, 4596}, {69840, 57949}, {69842, 799}, {72588, 314}, {72594, 286}, {72599, 27}, {72606, 81}, {72612, 58}, {72621, 16887}, {72624, 21}, {72628, 1444}, {72634, 333}, {72639, 1434}, {72640, 57785}
X(72625) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {42, 56926, 21035}, {2092, 2667, 3122}, {20970, 72634, 72606}, {71141, 71614, 21022}

X(72626) = {X(42), X(101)}-CROSS-CONCEVIAN PERSPECTOR

X(72626) lies on these lines: {10, 257}, {37, 40501}, {39, 23929}, {42, 101}, {58, 28482}, {71, 14498}, {76, 23946}, {115, 2643}, {116, 4475}, {1918, 11060}, {2333, 57260}, {2503, 23648}, {3122, 17990}, {3125, 4705}, {3271, 63907}, {3934, 23915}, {4024, 66293}, {4128, 20982}, {4824, 7200}, {5539, 24504}, {7237, 21728}, {15630, 53581}, {20590, 70864}, {21044, 64962}, {21716, 52576}, {21951, 23626}, {41267, 60526}, {52894, 69592}

X(72626) = perspector of circumconic {{A, B, C, X(4024), X(4079)}}
X(72626) = X(i)-isoconjugate-of-X(j) for these {i, j}: {21, 7340}, {27, 62719}, {28, 47389}, {58, 24037}, {81, 4590}, {86, 24041}, {99, 52935}, {110, 4623}, {163, 52612}, {249, 274}, {310, 1101}, {513, 31614}, {593, 4601}, {651, 55196}, {662, 4610}, {693, 59152}, {757, 4600}, {763, 1016}, {765, 6628}, {799, 4556}, {873, 4570}, {905, 55270}, {1014, 6064}, {1252, 57949}, {1333, 34537}, {1444, 18020}, {1509, 4567}, {1790, 46254}, {2185, 4620}, {4558, 55231}, {4565, 4631}, {4573, 4612}, {4575, 55229}, {4625, 4636}, {6385, 23357}, {9273, 20924}, {9274, 40075}, {14419, 64460}, {15413, 47443}, {16702, 52940}, {16733, 34539}, {16741, 66929}, {37140, 55237}, {47390, 57796}, {51369, 57991}, {52378, 52379}
X(72626) = X(i)-Dao conjugate of X(j) for these {i, j}: {10, 24037}, {37, 34537}, {115, 52612}, {136, 55229}, {244, 4623}, {512, 58}, {513, 6628}, {523, 310}, {661, 57949}, {1084, 4610}, {3005, 86}, {4155, 4368}, {21196, 64224}, {21905, 6629}, {38986, 52935}, {38991, 55196}, {38996, 4556}, {39026, 31614}, {40586, 4590}, {40591, 47389}, {40600, 24041}, {40607, 4600}, {40611, 7340}, {40627, 1509}, {50330, 873}, {50497, 757}, {55064, 4631}, {55065, 670}, {62566, 18021}
X(72626) = X(i)-Ceva conjugate of X(j) for these {i, j}: {42, 4079}, {313, 4024}, {2333, 53581}, {2643, 21833}, {58289, 22260}
X(72626) = X(i)-cross conjugate of X(j) for these {i, j}: {22260, 58289}
X(72626) = pole of line {52612, 55229} with respect to the polar circle
X(72626) = pole of line {310, 3741} with respect to the dual conic of Stammler hyperbola
X(72626) = pole of line {86, 310} with respect to the dual conic of Wallace hyperbola
X(72626) = pole of line {125, 70596} with respect to the orthoptic circle of Jerabek hyperbola
X(72626) = pole of line {58, 115} with respect to the orthoptic circle of Kiepert hyperbola
X(72626) = intersection, other than A, B, C, of circumconics {{A, B, C, X(10), X(21725)}}, {{A, B, C, X(101), X(4079)}}, {{A, B, C, X(111), X(115)}}, {{A, B, C, X(257), X(762)}}, {{A, B, C, X(512), X(53628)}}, {{A, B, C, X(923), X(1581)}}, {{A, B, C, X(2086), X(31090)}}, {{A, B, C, X(2813), X(33919)}}, {{A, B, C, X(4092), X(5547)}}, {{A, B, C, X(21709), X(28482)}}
X(72626) = barycentric product X(i)*X(j) for these (i, j): {1, 21833}, {10, 3124}, {71, 8754}, {101, 8029}, {115, 42}, {125, 2333}, {181, 21044}, {190, 22260}, {244, 762}, {349, 7063}, {514, 58289}, {1015, 6535}, {1084, 313}, {1089, 3121}, {1109, 213}, {1254, 36197}, {1334, 1365}, {1356, 30713}, {1400, 4092}, {1500, 3120}, {1577, 50487}, {1824, 3708}, {1826, 20975}, {1918, 338}, {1978, 23099}, {2171, 4516}, {2200, 2970}, {2205, 23994}, {2321, 61052}, {2489, 4064}, {2501, 55230}, {2643, 37}, {2971, 306}, {3122, 594}, {3125, 756}, {3700, 66928}, {3709, 66287}, {4024, 512}, {4036, 798}, {4041, 57185}, {4079, 523}, {4103, 8034}, {4570, 61339}, {4705, 661}, {14407, 66285}, {15523, 51906}, {15630, 69594}, {16732, 872}, {19610, 21089}, {21035, 34294}, {21043, 6}, {21046, 25}, {21131, 4557}, {21207, 7109}, {21709, 2248}, {21713, 40525}, {21723, 3444}, {21725, 52651}, {23105, 32739}, {27801, 4117}, {31010, 8663}, {35352, 46390}, {39258, 66290}, {40071, 42068}, {42666, 55238}, {51436, 66276}, {51441, 69592}, {52065, 561}, {52623, 669}, {52894, 66293}, {53545, 7064}, {53581, 850}, {55197, 663}, {55236, 58304}, {58294, 6367}, {63461, 69666}, {69572, 9178}, {69579, 882}
X(72626) = barycentric quotient X(i)/X(j) for these (i, j): {10, 34537}, {37, 24037}, {42, 4590}, {71, 47389}, {101, 31614}, {115, 310}, {181, 4620}, {213, 24041}, {228, 62719}, {244, 57949}, {313, 44168}, {512, 4610}, {523, 52612}, {661, 4623}, {663, 55196}, {669, 4556}, {756, 4601}, {762, 7035}, {798, 52935}, {872, 4567}, {1015, 6628}, {1084, 58}, {1109, 6385}, {1334, 6064}, {1356, 1412}, {1400, 7340}, {1500, 4600}, {1824, 46254}, {1918, 249}, {2205, 1101}, {2333, 18020}, {2501, 55229}, {2643, 274}, {2971, 27}, {3121, 757}, {3122, 1509}, {3124, 86}, {3125, 873}, {3248, 763}, {4024, 670}, {4036, 4602}, {4041, 4631}, {4064, 52608}, {4079, 99}, {4092, 28660}, {4117, 1333}, {4516, 52379}, {4705, 799}, {6535, 31625}, {6627, 64224}, {7063, 284}, {7109, 4570}, {8029, 3261}, {8750, 55270}, {8754, 44129}, {9427, 2206}, {16732, 57992}, {20975, 17206}, {21043, 76}, {21044, 18021}, {21046, 305}, {21089, 61497}, {21131, 52619}, {21709, 51857}, {21725, 8033}, {21823, 17103}, {21833, 75}, {21906, 6629}, {22260, 514}, {23099, 649}, {23610, 1919}, {32739, 59152}, {42068, 1474}, {42666, 55237}, {44114, 51370}, {50487, 662}, {51906, 52394}, {52065, 31}, {52623, 4609}, {53581, 110}, {55197, 4572}, {55230, 4563}, {55232, 55202}, {57185, 4625}, {58260, 17209}, {58289, 190}, {58301, 62535}, {58304, 55235}, {61052, 1434}, {61339, 21207}, {61364, 52378}, {63461, 4612}, {65751, 1790}, {66928, 4573}, {66975, 4565}, {69579, 880}, {69666, 55213}
X(72626) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3125, 4705, 21725}

X(72627) = {X(46), X(1)}-CROSS-CONCEVIAN PERSPECTOR

X(72627) lies on these lines: {34, 56549}, {46, 1068}, {56, 3215}, {57, 24159}, {65, 21318}, {71, 41393}, {73, 228}, {185, 62736}, {201, 40152}, {221, 15494}, {225, 1020}, {603, 56414}, {656, 3214}, {1038, 56553}, {1400, 70673}, {1406, 2178}, {1457, 57502}, {1475, 2253}, {1715, 23710}, {1788, 17927}, {2174, 8614}, {2252, 5221}, {3338, 63437}, {4296, 56560}, {7011, 19349}, {7098, 17985}, {13738, 32065}, {19354, 38290}, {20764, 67901}, {26955, 51368}, {36033, 72644}, {38284, 67906}, {52391, 66921}

X(72627) = perspector of circumconic {{A, B, C, X(52610), X(65175)}}
X(72627) = X(i)-isoconjugate-of-X(j) for these {i, j}: {21, 7040}, {28, 36626}, {29, 90}, {286, 7072}, {333, 67181}, {1069, 1896}, {1172, 2994}, {2164, 31623}, {2299, 20570}, {2326, 60249}, {3559, 7042}, {4183, 7318}, {6513, 8748}, {17926, 65216}
X(72627) = X(i)-Dao conjugate of X(j) for these {i, j}: {63, 314}, {226, 20570}, {40591, 36626}, {40611, 7040}
X(72627) = X(i)-Ceva conjugate of X(j) for these {i, j}: {65, 73}, {1020, 55214}
X(72627) = intersection, other than A, B, C, of circumconics {{A, B, C, X(46), X(22341)}}, {{A, B, C, X(71), X(22342)}}, {{A, B, C, X(73), X(1068)}}, {{A, B, C, X(225), X(55214)}}, {{A, B, C, X(408), X(3559)}}, {{A, B, C, X(1406), X(52373)}}, {{A, B, C, X(21853), X(52391)}}
X(72627) = barycentric product X(i)*X(j) for these (i, j): {65, 6505}, {225, 6511}, {226, 3157}, {1020, 59973}, {1068, 40152}, {1214, 46}, {1406, 306}, {1409, 20930}, {1425, 31631}, {1800, 6354}, {2178, 307}, {3193, 37755}, {5905, 73}, {21077, 222}, {21188, 23067}, {21853, 77}, {51648, 65233}, {52033, 52385}, {52373, 5552}, {55214, 6516}, {56382, 61397}, {56535, 63171}, {56848, 72}
X(72627) = barycentric quotient X(i)/X(j) for these (i, j): {46, 31623}, {71, 36626}, {73, 2994}, {1214, 20570}, {1400, 7040}, {1402, 67181}, {1406, 27}, {1409, 90}, {1425, 60249}, {1800, 7058}, {2178, 29}, {2200, 7072}, {3157, 333}, {5905, 44130}, {6505, 314}, {6511, 332}, {21077, 7017}, {21853, 318}, {22341, 6513}, {51648, 57215}, {52033, 1896}, {52373, 7318}, {52610, 65290}, {55214, 44426}, {56848, 286}, {61397, 2322}
X(72627) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1425, 22341, 73}

X(72628) = {X(48), X(3)}-CROSS-CONCEVIAN PERSPECTOR

X(72628) lies on these lines: {3, 72649}, {32, 3725}, {41, 3724}, {48, 255}, {198, 72595}, {213, 72607}, {228, 2200}, {910, 42443}, {1055, 2650}, {1962, 2355}, {2179, 2304}, {2251, 40986}, {3207, 42669}, {3708, 18673}, {3743, 4262}, {3916, 3958}, {4647, 35342}, {5011, 5496}, {12081, 69240}, {14270, 46388}, {20970, 72624}, {22099, 22458}, {31880, 69242}, {58386, 70974}

X(72628) = X(i)-isoconjugate-of-X(j) for these {i, j}: {4, 32014}, {27, 1268}, {28, 32018}, {92, 40438}, {264, 1171}, {286, 1255}, {393, 57854}, {648, 4608}, {811, 47947}, {1126, 44129}, {2052, 57685}, {4596, 17924}, {4629, 46107}, {4632, 7649}, {6331, 50344}, {6540, 17925}, {6578, 14618}, {24006, 62535}, {28615, 57796}, {55229, 58294}
X(72628) = X(i)-Dao conjugate of X(j) for these {i, j}: {1125, 1969}, {1213, 57796}, {3647, 44129}, {17423, 47947}, {22391, 40438}, {36033, 32014}, {40591, 32018}, {55066, 4608}
X(72628) = X(i)-Ceva conjugate of X(j) for these {i, j}: {48, 23201}, {906, 810}, {1962, 72606}, {22054, 22080}
X(72628) = pole of line {20800, 23189} with respect to the MacBeath circumconic
X(72628) = pole of line {92, 31904} with respect to the Stammler hyperbola
X(72628) = intersection, other than A, B, C, of circumconics {{A, B, C, X(48), X(3958)}}, {{A, B, C, X(228), X(1437)}}, {{A, B, C, X(255), X(1962)}}, {{A, B, C, X(2159), X(40978)}}, {{A, B, C, X(2193), X(20970)}}, {{A, B, C, X(2200), X(22054)}}, {{A, B, C, X(21816), X(22134)}}
X(72628) = barycentric product X(i)*X(j) for these (i, j): {1, 22080}, {10, 23201}, {31, 41014}, {69, 72606}, {77, 72634}, {78, 72639}, {184, 4647}, {212, 3649}, {213, 4001}, {219, 72640}, {222, 72588}, {255, 430}, {304, 72612}, {326, 72599}, {348, 72624}, {394, 72594}, {1100, 71}, {1125, 228}, {1213, 48}, {1230, 9247}, {1331, 4983}, {1409, 3686}, {1437, 8013}, {1444, 72625}, {1459, 69842}, {1790, 21816}, {1839, 3990}, {1962, 3}, {2200, 4359}, {2308, 72}, {2318, 32636}, {2355, 3682}, {3049, 65161}, {3683, 73}, {3690, 69840}, {3916, 42}, {3958, 6}, {4046, 603}, {4055, 56875}, {4427, 810}, {4574, 4979}, {4575, 6367}, {4592, 8663}, {4988, 906}, {20970, 63}, {22054, 37}, {22381, 4970}, {22383, 4115}, {30591, 32656}, {34055, 72621}, {35327, 656}, {35342, 647}, {36075, 8611}, {44143, 52430}, {50512, 69827}, {52370, 553}, {61170, 652}
X(72628) = barycentric quotient X(i)/X(j) for these (i, j): {48, 32014}, {71, 32018}, {184, 40438}, {228, 1268}, {255, 57854}, {430, 57806}, {810, 4608}, {906, 4632}, {1100, 44129}, {1125, 57796}, {1213, 1969}, {1962, 264}, {2200, 1255}, {2308, 286}, {3049, 47947}, {3649, 57787}, {3683, 44130}, {3916, 310}, {3958, 76}, {4001, 6385}, {4427, 57968}, {4647, 18022}, {4983, 46107}, {8663, 24006}, {9247, 1171}, {20970, 92}, {22054, 274}, {22080, 75}, {23201, 86}, {32656, 4596}, {32661, 62535}, {35327, 811}, {35342, 6331}, {41014, 561}, {52370, 4102}, {52430, 57685}, {61170, 46404}, {72588, 7017}, {72594, 2052}, {72599, 158}, {72606, 4}, {72612, 19}, {72621, 20883}, {72624, 281}, {72625, 41013}, {72634, 318}, {72639, 273}, {72640, 331}
X(72628) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {41, 3724, 40978}, {2304, 3185, 2179}, {3207, 64753, 42669}

X(72629) = {X(48), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72629) lies on these lines: {6, 42669}, {48, 255}, {219, 72649}, {604, 40978}, {1397, 3725}, {1404, 40977}, {1409, 1410}, {2294, 2317}, {2650, 21748}, {3708, 18675}, {3958, 22356}, {4016, 17455}, {20818, 22149}, {72571, 72638}, {72606, 72637}

X(72629) = X(i)-isoconjugate-of-X(j) for these {i, j}: {4, 60235}, {27, 65822}, {92, 40430}, {318, 63194}, {393, 57833}, {648, 56321}, {2052, 57668}, {17097, 31623}
X(72629) = X(i)-Dao conjugate of X(j) for these {i, j}: {5745, 1969}, {22391, 40430}, {36033, 60235}, {37836, 92}, {55066, 56321}, {59602, 57796}
X(72629) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2650, 72607}, {21748, 72571}, {36059, 810}
X(72629) = pole of line {22093, 23189} with respect to the MacBeath circumconic
X(72629) = pole of line {18158, 20948} with respect to the dual conic of polar circle
X(72629) = intersection, other than A, B, C, of circumconics {{A, B, C, X(48), X(72607)}}, {{A, B, C, X(255), X(2650)}}, {{A, B, C, X(1409), X(2193)}}, {{A, B, C, X(1410), X(1437)}}, {{A, B, C, X(2249), X(72595)}}
X(72629) = barycentric product X(i)*X(j) for these (i, j): {1, 72559}, {6, 72648}, {63, 72571}, {69, 72607}, {72, 72644}, {77, 72635}, {78, 72638}, {184, 18698}, {228, 3664}, {255, 407}, {1214, 21748}, {1409, 5745}, {1410, 6737}, {1437, 21674}, {2646, 73}, {2650, 3}, {3682, 40985}, {17056, 48}, {17136, 810}, {21677, 603}, {21811, 222}, {22003, 22383}, {22341, 40950}, {22361, 65}, {23755, 906}, {36059, 62566}, {53324, 656}
X(72629) = barycentric quotient X(i)/X(j) for these (i, j): {48, 60235}, {184, 40430}, {228, 65822}, {255, 57833}, {407, 57806}, {810, 56321}, {2646, 44130}, {2650, 264}, {3664, 57796}, {17056, 1969}, {17136, 57968}, {18698, 18022}, {21748, 31623}, {21811, 7017}, {22361, 314}, {52411, 63194}, {52430, 57668}, {53324, 811}, {72559, 75}, {72571, 92}, {72607, 4}, {72635, 318}, {72638, 273}, {72644, 286}, {72648, 76}
X(72629) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 42669, 72595}

X(72630) = {X(48), X(31)}-CROSS-CONCEVIAN PERSPECTOR

X(72630) lies on these lines: {3, 22409}, {31, 3402}, {38, 3404}, {48, 63}, {662, 1965}, {1910, 2167}, {1954, 39342}, {2200, 20777}, {4575, 66942}, {9247, 52430}, {14213, 69609}, {20760, 23190}

X(72630) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 46104}, {4, 308}, {6, 68630}, {19, 18833}, {25, 40016}, {27, 56251}, {53, 41488}, {76, 32085}, {82, 1969}, {83, 264}, {92, 3112}, {251, 18022}, {276, 17500}, {278, 62539}, {286, 56186}, {324, 39287}, {648, 52618}, {669, 42395}, {689, 2501}, {811, 18070}, {850, 42396}, {1176, 18027}, {1235, 52395}, {1799, 2052}, {2489, 42371}, {3115, 71195}, {4577, 14618}, {4580, 6528}, {4593, 24006}, {6331, 58784}, {10550, 57903}, {14970, 17984}, {16081, 20022}, {18023, 70181}, {18082, 44129}, {18097, 44130}, {18098, 57796}, {21459, 46140}, {22105, 59762}, {32581, 40826}, {34055, 57806}, {37892, 69953}, {39289, 40684}, {40362, 61383}, {40425, 44142}, {42299, 44144}, {42394, 72445}, {44161, 46288}, {46111, 52898}, {51862, 60199}, {55240, 57968}, {56245, 57787}, {56979, 68575}
X(72630) = X(i)-Dao conjugate of X(j) for these {i, j}: {6, 18833}, {9, 68630}, {141, 1969}, {6505, 40016}, {17423, 18070}, {22391, 3112}, {32664, 46104}, {34452, 92}, {36033, 308}, {40585, 18022}, {52042, 20883}, {55050, 24006}, {55066, 52618}
X(72630) = X(i)-Ceva conjugate of X(j) for these {i, j}: {48, 4020}, {1964, 1923}
X(72630) = pole of line {19, 1969} with respect to the Stammler hyperbola
X(72630) = pole of line {1577, 35560} with respect to the dual conic of polar circle
X(72630) = intersection, other than A, B, C, of circumconics {{A, B, C, X(38), X(62267)}}, {{A, B, C, X(63), X(1923)}}, {{A, B, C, X(326), X(1964)}}, {{A, B, C, X(688), X(64888)}}, {{A, B, C, X(1444), X(20775)}}, {{A, B, C, X(1790), X(68651)}}, {{A, B, C, X(1812), X(3051)}}, {{A, B, C, X(2167), X(9417)}}
X(72630) = barycentric product X(i)*X(j) for these (i, j): {1, 20775}, {31, 3917}, {39, 48}, {141, 9247}, {184, 38}, {219, 72641}, {222, 40972}, {304, 41331}, {427, 52430}, {1176, 72112}, {1178, 22367}, {1331, 50521}, {1401, 212}, {1437, 21035}, {1444, 41267}, {1634, 810}, {1790, 21814}, {1843, 255}, {1923, 69}, {1946, 46153}, {1964, 3}, {2084, 4558}, {2169, 72569}, {2530, 32656}, {3005, 4575}, {3051, 63}, {3289, 3404}, {3688, 603}, {3933, 560}, {4020, 6}, {4592, 688}, {14575, 1930}, {14585, 20883}, {16030, 62266}, {16696, 2200}, {17187, 228}, {17442, 577}, {17970, 2236}, {21123, 906}, {22383, 46148}, {23202, 46150}, {23225, 35333}, {24018, 61218}, {27369, 326}, {27374, 62277}, {27376, 4100}, {32661, 8061}, {33299, 52411}, {34055, 59994}, {35325, 822}, {55202, 9494}, {56915, 66933}, {61316, 7099}, {62267, 71199}, {66942, 8623}, {68651, 75}
X(72630) = barycentric quotient X(i)/X(j) for these (i, j): {1, 68630}, {3, 18833}, {31, 46104}, {38, 18022}, {39, 1969}, {48, 308}, {63, 40016}, {184, 3112}, {212, 62539}, {228, 56251}, {560, 32085}, {688, 24006}, {799, 42395}, {810, 52618}, {1401, 57787}, {1634, 57968}, {1843, 57806}, {1923, 4}, {1930, 44161}, {1964, 264}, {2084, 14618}, {2169, 41488}, {2200, 56186}, {3049, 18070}, {3051, 92}, {3404, 60199}, {3917, 561}, {3933, 1928}, {4020, 76}, {4558, 37204}, {4575, 689}, {4592, 42371}, {9247, 83}, {14575, 82}, {14585, 34055}, {17187, 57796}, {17442, 18027}, {17970, 69999}, {20775, 75}, {22364, 16889}, {22367, 1237}, {23210, 20889}, {27369, 158}, {32661, 4593}, {35325, 57973}, {40373, 46289}, {40972, 7017}, {41267, 41013}, {41331, 19}, {50521, 46107}, {52430, 1799}, {59994, 20883}, {61218, 823}, {62267, 39287}, {68651, 1}, {72112, 1235}, {72529, 42394}, {72569, 62273}, {72641, 331}
X(72630) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 23121, 22409}

X(72631) = {X(54), X(74)}-CROSS-CONCEVIAN PERSPECTOR

X(72631) lies on these lines: {3, 8157}, {54, 2120}, {526, 1511}, {577, 3165}, {578, 13558}, {1576, 13289}, {1624, 10282}, {3043, 16186}, {5961, 12228}, {10272, 59370}, {11587, 53176}, {13367, 51255}, {14385, 51256}, {19210, 23358}, {19457, 52169}, {25564, 40948}, {32351, 59371}, {34513, 61748}, {38616, 46062}

X(72631) = perspector of circumconic {{A, B, C, X(323), X(46064)}}
X(72631) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2166, 18401}
X(72631) = X(i)-Dao conjugate of X(j) for these {i, j}: {11062, 324}, {11597, 18401}, {18400, 58704}
X(72631) = X(i)-Ceva conjugate of X(j) for these {i, j}: {97, 50}
X(72631) = pole of line {399, 38585} with respect to the circumcircle
X(72631) = pole of line {476, 3153} with respect to the Stammler hyperbola
X(72631) = center of circles {{ X(i), X(j), X(k) }} for these {i, j, k}: {3, 110, 933}, {74, 399, 18401}
X(72631) = intersection, other than A, B, C, of circumconics {{A, B, C, X(186), X(18402)}}, {{A, B, C, X(526), X(18400)}}, {{A, B, C, X(58704), X(60342)}}
X(72631) = barycentric product X(i)*X(j) for these (i, j): {1154, 46064}, {18400, 323}, {18402, 97}
X(72631) = barycentric quotient X(i)/X(j) for these (i, j): {50, 18401}, {18400, 94}, {18402, 324}, {46064, 46138}
X(72631) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {5961, 12228, 18114}

X(72632) = {X(55), X(1)}-CROSS-CONCEVIAN PERSPECTOR

X(72632) lies on these lines: {1, 39790}, {55, 218}, {170, 10389}, {516, 3649}, {1475, 2293}, {1486, 3207}, {2140, 3058}, {2223, 72639}, {2646, 3021}, {2808, 3746}, {3601, 21214}, {3748, 58816}, {8647, 72635}, {10385, 17753}, {43158, 64162}

X(72632) = X(i)-isoconjugate-of-X(j) for these {i, j}: {85, 72457}, {1170, 32015}
X(72632) = X(i)-Dao conjugate of X(j) for these {i, j}: {6666, 6063}
X(72632) = X(i)-Ceva conjugate of X(j) for these {i, j}: {101, 10581}, {3748, 72525}
X(72632) = pole of line {14746, 16601} with respect to the Feuerbach hyperbola
X(72632) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(1174), X(1475)}}, {{A, B, C, X(2293), X(10482)}}, {{A, B, C, X(68743), X(72552)}}
X(72632) = barycentric product X(i)*X(j) for these (i, j): {1, 42438}, {6, 72585}, {9, 72525}, {55, 72552}, {1212, 3748}, {2293, 6666}, {10581, 61192}, {17201, 21795}, {21127, 61232}, {58816, 8012}
X(72632) = barycentric quotient X(i)/X(j) for these (i, j): {2175, 72457}, {2293, 32015}, {3748, 31618}, {42438, 75}, {72525, 85}, {72552, 6063}, {72585, 76}

X(72633) = {X(55), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72633) lies on these lines: {1, 34247}, {3, 3751}, {6, 2223}, {9, 55}, {10, 21023}, {21, 60731}, {31, 16946}, {35, 1757}, {37, 4068}, {41, 1253}, {42, 181}, {43, 27626}, {44, 8053}, {56, 68588}, {71, 4878}, {78, 35628}, {100, 894}, {101, 35106}, {105, 2346}, {165, 44421}, {171, 2663}, {198, 37580}, {213, 872}, {284, 2311}, {314, 7081}, {518, 5132}, {560, 2251}, {573, 3779}, {584, 47373}, {674, 4271}, {692, 2174}, {740, 60723}, {869, 2209}, {1045, 37619}, {1064, 65743}, {1100, 20990}, {1197, 18900}, {1284, 3755}, {1334, 7064}, {1376, 10436}, {1449, 21010}, {1500, 2333}, {1621, 17260}, {1743, 20992}, {1818, 64006}, {1964, 20228}, {2110, 16503}, {2177, 34417}, {2183, 21746}, {2212, 14827}, {2245, 22277}, {2269, 2340}, {2293, 2347}, {2317, 20958}, {2318, 40966}, {2321, 4097}, {2594, 22341}, {2667, 72595}, {2809, 17447}, {3056, 4266}, {3063, 23522}, {3240, 27624}, {3286, 4663}, {3434, 27254}, {3663, 21320}, {3685, 3701}, {3707, 71288}, {3714, 3886}, {3729, 64727}, {3747, 61036}, {3786, 4420}, {3811, 10477}, {3870, 21371}, {3875, 64170}, {3879, 4447}, {3882, 17792}, {3914, 21319}, {3923, 8715}, {3975, 71142}, {4053, 20713}, {4104, 4199}, {4150, 70924}, {4154, 56196}, {4191, 62819}, {4251, 19133}, {4267, 56176}, {4421, 50127}, {4436, 17351}, {4517, 72318}, {4523, 69593}, {4646, 64753}, {4649, 37609}, {4666, 27639}, {4682, 18185}, {4689, 53280}, {4847, 21321}, {4849, 52139}, {4851, 70101}, {5091, 18162}, {5281, 26059}, {5297, 65186}, {5687, 50314}, {6059, 7071}, {6745, 21246}, {7122, 18266}, {7155, 71636}, {7676, 60960}, {8240, 12437}, {8299, 17353}, {8618, 40981}, {9440, 39341}, {9548, 50581}, {10306, 12717}, {10472, 29828}, {12329, 36744}, {14547, 23638}, {15076, 20430}, {15571, 49475}, {16475, 37590}, {16666, 16679}, {16669, 72252}, {16670, 16688}, {16684, 17348}, {17261, 52923}, {17279, 70100}, {17349, 23407}, {17441, 69668}, {17594, 20760}, {17738, 24820}, {18163, 20359}, {18642, 69762}, {18755, 18758}, {20229, 40972}, {20258, 59584}, {20470, 49478}, {20715, 22021}, {20963, 40638}, {20970, 61038}, {21035, 22363}, {21039, 21811}, {21059, 60722}, {21748, 22079}, {21750, 21814}, {21796, 40934}, {21809, 42446}, {21858, 71041}, {21865, 69842}, {21933, 69680}, {22060, 32912}, {22273, 56926}, {22369, 72571}, {23207, 61397}, {23868, 40910}, {25241, 69698}, {25439, 33845}, {25568, 69814}, {27633, 71026}, {28017, 62739}, {28274, 53005}, {28351, 71710}, {28364, 64162}, {34021, 62530}, {35338, 49537}, {36404, 37503}, {40729, 64454}, {40956, 61358}, {41430, 69723}, {42819, 54333}, {45705, 50093}, {52359, 52567}, {52405, 72321}, {53391, 55340}, {56185, 71535}, {56715, 64702}, {60785, 69031}, {61034, 69700}, {63387, 71708}, {65691, 69852}, {69497, 71672}, {69730, 72625}, {70098, 72263}, {70431, 71490}, {70743, 71524}, {71256, 71280}, {71257, 71286}, {71283, 71287}, {72623, 72624}

X(72633) = reflection of X(i) in X(j) for these {i,j}: {17447, 25065}, {37575, 5132}
X(72633) = isogonal conjugate of X(57785)
X(72633) = perspector of circumconic {{A, B, C, X(644), X(4559)}}
X(72633) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 57785}, {2, 1434}, {7, 86}, {10, 552}, {12, 6628}, {21, 1088}, {27, 348}, {28, 7182}, {29, 7056}, {56, 310}, {57, 274}, {58, 6063}, {65, 873}, {75, 1014}, {76, 1412}, {77, 286}, {81, 85}, {99, 3676}, {108, 69830}, {109, 52619}, {110, 52621}, {190, 17096}, {222, 44129}, {226, 1509}, {261, 3668}, {269, 314}, {273, 1444}, {278, 17206}, {279, 333}, {284, 57792}, {304, 1396}, {313, 7341}, {331, 1790}, {332, 1119}, {349, 593}, {479, 1043}, {513, 4625}, {514, 4573}, {522, 4616}, {553, 32014}, {561, 1408}, {603, 57796}, {604, 6385}, {643, 59941}, {645, 58817}, {650, 4635}, {651, 7199}, {653, 15419}, {658, 4560}, {662, 24002}, {664, 7192}, {667, 55213}, {668, 7203}, {670, 43924}, {693, 1414}, {741, 18033}, {757, 1441}, {763, 6358}, {799, 3669}, {927, 23829}, {934, 18155}, {961, 16739}, {1019, 4554}, {1021, 36838}, {1042, 18021}, {1086, 4620}, {1106, 40072}, {1170, 16708}, {1178, 7205}, {1275, 17197}, {1333, 20567}, {1358, 4600}, {1402, 57992}, {1407, 28660}, {1427, 52379}, {1429, 40017}, {1432, 8033}, {1437, 57787}, {1439, 57779}, {1440, 8822}, {1443, 14616}, {1446, 2185}, {1447, 18827}, {1462, 18157}, {1474, 57918}, {1502, 16947}, {1812, 1847}, {2171, 57949}, {2206, 41283}, {2287, 23062}, {2322, 30682}, {2328, 57880}, {3120, 7340}, {3261, 4565}, {3665, 52394}, {3674, 14534}, {3733, 4572}, {3737, 4569}, {4017, 4623}, {4059, 40439}, {4077, 52935}, {4306, 57784}, {4391, 4637}, {4564, 16727}, {4589, 43041}, {4590, 53545}, {4601, 53538}, {4602, 57181}, {4610, 7178}, {4615, 30725}, {4622, 69753}, {4624, 48580}, {4626, 7253}, {4631, 7216}, {4632, 30724}, {4633, 30723}, {4634, 53528}, {4998, 17205}, {5323, 57923}, {6545, 55194}, {6591, 55205}, {7053, 44130}, {7055, 8747}, {7131, 16750}, {7153, 31008}, {7176, 32010}, {7177, 31623}, {7180, 52612}, {7185, 40415}, {7196, 40432}, {7209, 27644}, {7212, 65258}, {7233, 33295}, {7249, 17103}, {7252, 46406}, {7254, 46404}, {7257, 43932}, {10030, 37128}, {10509, 16713}, {14953, 52156}, {15413, 65232}, {16705, 64984}, {16711, 65241}, {16712, 60085}, {16726, 67038}, {16737, 37137}, {16755, 38340}, {16948, 62528}, {17078, 24624}, {17084, 40164}, {17095, 52393}, {17169, 21453}, {17189, 34399}, {17194, 42311}, {17212, 65289}, {17219, 55346}, {17925, 65164}, {18026, 69828}, {18097, 61407}, {18164, 31618}, {18176, 72447}, {18206, 34018}, {18600, 40420}, {21454, 65018}, {21789, 52937}, {23618, 26818}, {23788, 54953}, {23989, 52378}, {24037, 53540}, {27818, 41629}, {30097, 40409}, {30939, 56049}, {30941, 56783}, {31643, 54308}, {31903, 57873}, {33947, 56358}, {33949, 56047}, {34016, 52374}, {34400, 41083}, {36419, 52565}, {36800, 62785}, {38810, 41777}, {39734, 55082}, {39780, 59148}, {40412, 62779}, {40827, 61412}, {42028, 57826}, {42290, 60735}, {42302, 60720}, {43923, 55202}, {43930, 68998}, {45196, 64457}, {46103, 56382}, {51664, 55231}, {52375, 52421}, {53649, 57167}, {57215, 65296}, {57247, 65256}, {58013, 64382}, {60680, 60732}, {60721, 62946}, {65039, 70315}
X(72633) = X(i)-Dao conjugate of X(j) for these {i, j}: {1, 310}, {3, 57785}, {10, 6063}, {11, 52619}, {37, 20567}, {142, 53236}, {206, 1014}, {210, 33933}, {244, 52621}, {512, 53540}, {1084, 24002}, {1334, 18142}, {2887, 7185}, {3161, 6385}, {5452, 274}, {6552, 40072}, {6600, 314}, {6631, 55213}, {6741, 40495}, {7952, 57796}, {8299, 18033}, {14714, 18155}, {17046, 17177}, {23050, 44130}, {24771, 28660}, {32664, 1434}, {34961, 4623}, {36908, 57880}, {38983, 69830}, {38986, 3676}, {38991, 7199}, {38996, 3669}, {39025, 7192}, {39026, 4625}, {40368, 1408}, {40586, 85}, {40590, 57792}, {40591, 7182}, {40599, 76}, {40600, 7}, {40602, 873}, {40603, 41283}, {40605, 57992}, {40607, 1441}, {40608, 693}, {40611, 1088}, {50497, 1358}, {51574, 57918}, {52877, 69734}, {55053, 17096}, {55060, 59941}, {55064, 3261}, {59577, 561}
X(72633) = X(i)-Ceva conjugate of X(j) for these {i, j}: {41, 72623}, {42, 213}, {55, 1334}, {210, 52370}, {3939, 3063}, {4557, 3709}, {7071, 72614}, {56180, 2321}
X(72633) = X(i)-cross conjugate of X(j) for these {i, j}: {872, 72614}, {21819, 37}, {72623, 213}, {72624, 41}, {72636, 55}
X(72633) = pole of line {4394, 48331} with respect to the circumcircle
X(72633) = pole of line {661, 6004} with respect to the Brocard inellipse
X(72633) = pole of line {9, 14749} with respect to the Feuerbach hyperbola
X(72633) = pole of line {261, 552} with respect to the Stammler hyperbola
X(72633) = pole of line {35341, 69749} with respect to the Yff parabola
X(72633) = pole of line {4059, 18021} with respect to the Wallace hyperbola
X(72633) = pole of line {480, 61364} with respect to the dual conic of Moses-Feuerbach circumconic
X(72633) = pole of line {34387, 62429} with respect to the dual conic of Wallace hyperbola
X(72633) = pole of line X(i)X(j) wrt the circumconic with perspector X(k) for these {i,j,k}: {21901, 24290, 37}, {3709, 58286, 42}
X(72633) = pole of line X(i)X(j) wrt the inconic with perspector X(k) for these {i,j,k}: {669, 54275, 31}, {3939, 69085, 100}
X(72633) = intersection, other than A, B, C, of circumconics {{A, B, C, X(6), X(37658)}}, {{A, B, C, X(9), X(41)}}, {{A, B, C, X(21), X(72608)}}, {{A, B, C, X(25), X(13615)}}, {{A, B, C, X(31), X(4512)}}, {{A, B, C, X(32), X(4254)}}, {{A, B, C, X(37), X(3693)}}, {{A, B, C, X(42), X(200)}}, {{A, B, C, X(55), X(1402)}}, {{A, B, C, X(65), X(3059)}}, {{A, B, C, X(181), X(210)}}, {{A, B, C, X(220), X(3713)}}, {{A, B, C, X(228), X(1260)}}, {{A, B, C, X(284), X(3063)}}, {{A, B, C, X(314), X(39780)}}, {{A, B, C, X(380), X(1973)}}, {{A, B, C, X(512), X(15733)}}, {{A, B, C, X(798), X(2348)}}, {{A, B, C, X(1036), X(7083)}}, {{A, B, C, X(1042), X(4326)}}, {{A, B, C, X(1409), X(51376)}}, {{A, B, C, X(1441), X(21804)}}, {{A, B, C, X(1500), X(2197)}}, {{A, B, C, X(1824), X(40952)}}, {{A, B, C, X(2092), X(3965)}}, {{A, B, C, X(2194), X(3683)}}, {{A, B, C, X(2200), X(55111)}}, {{A, B, C, X(2205), X(20967)}}, {{A, B, C, X(2223), X(2346)}}, {{A, B, C, X(2321), X(3774)}}, {{A, B, C, X(3689), X(63461)}}, {{A, B, C, X(3724), X(8641)}}, {{A, B, C, X(3778), X(4073)}}, {{A, B, C, X(4258), X(16946)}}, {{A, B, C, X(4524), X(51377)}}, {{A, B, C, X(7081), X(64454)}}, {{A, B, C, X(9439), X(23493)}}, {{A, B, C, X(10382), X(57652)}}, {{A, B, C, X(18265), X(61364)}}, {{A, B, C, X(18889), X(28625)}}, {{A, B, C, X(33635), X(51858)}}, {{A, B, C, X(36799), X(69977)}}
X(72633) = barycentric product X(i)*X(j) for these (i, j): {1, 1334}, {4, 52370}, {10, 41}, {19, 2318}, {25, 3694}, {32, 3701}, {33, 71}, {37, 55}, {42, 9}, {48, 53008}, {60, 762}, {63, 72614}, {75, 72623}, {100, 3709}, {101, 4041}, {109, 4171}, {181, 2287}, {190, 63461}, {198, 53013}, {201, 2332}, {210, 6}, {213, 8}, {220, 65}, {227, 7367}, {228, 281}, {284, 756}, {292, 4433}, {313, 9447}, {314, 7109}, {333, 872}, {512, 644}, {522, 69826}, {607, 72}, {646, 669}, {1018, 663}, {1020, 4105}, {1042, 728}, {1089, 57657}, {1110, 21044}, {1126, 72588}, {1172, 3690}, {1174, 21039}, {1214, 7071}, {1252, 4516}, {1253, 226}, {1255, 72634}, {1260, 1880}, {1261, 21796}, {1268, 72624}, {1318, 21821}, {1320, 52963}, {1331, 55206}, {1333, 6057}, {1400, 200}, {1402, 346}, {1409, 7046}, {1427, 480}, {1441, 14827}, {1500, 21}, {1802, 225}, {1824, 219}, {1826, 212}, {1857, 3990}, {1903, 7074}, {1911, 3985}, {1918, 312}, {1962, 33635}, {1973, 3710}, {2053, 20691}, {2149, 52335}, {2150, 6535}, {2171, 2328}, {2175, 321}, {2188, 53009}, {2193, 7140}, {2194, 594}, {2195, 3930}, {2197, 4183}, {2198, 56146}, {2200, 318}, {2204, 3695}, {2205, 3596}, {2212, 306}, {2238, 7077}, {2245, 52371}, {2259, 40967}, {2281, 3974}, {2293, 56255}, {2298, 40966}, {2299, 3949}, {2321, 31}, {2323, 34857}, {2324, 2357}, {2329, 66971}, {2330, 52651}, {2333, 78}, {2347, 56190}, {2489, 4571}, {3063, 3952}, {3121, 4076}, {3125, 6065}, {3217, 56192}, {3668, 6602}, {3683, 52555}, {3692, 57652}, {3693, 56853}, {3699, 798}, {3700, 692}, {3747, 4876}, {3774, 52133}, {3900, 4559}, {3925, 59141}, {3939, 661}, {3971, 57264}, {3998, 6059}, {4024, 65375}, {4069, 649}, {4079, 643}, {4082, 604}, {4095, 904}, {4097, 65027}, {4102, 72606}, {4111, 57397}, {4130, 53321}, {4166, 60548}, {4258, 56237}, {4515, 56}, {4524, 651}, {4551, 657}, {4552, 8641}, {4557, 650}, {4566, 57180}, {4578, 7180}, {4601, 7063}, {4606, 8653}, {4612, 58289}, {4705, 5546}, {4730, 5548}, {4770, 5549}, {7064, 81}, {7079, 73}, {8611, 8750}, {10482, 21808}, {14624, 20967}, {14936, 65573}, {14942, 39258}, {15065, 52426}, {15628, 5360}, {16584, 56180}, {16732, 6066}, {17743, 4531}, {18082, 40972}, {18098, 3688}, {18265, 3948}, {18344, 4574}, {18785, 2340}, {20229, 56157}, {20665, 56196}, {20683, 294}, {20684, 983}, {20692, 2115}, {20970, 32635}, {21035, 56245}, {21061, 60817}, {21075, 7118}, {21753, 72047}, {21759, 27538}, {21789, 21859}, {21795, 2346}, {21801, 2342}, {21805, 2316}, {21809, 51476}, {21819, 40419}, {21830, 8851}, {21839, 5547}, {21853, 7072}, {21867, 40141}, {21871, 2192}, {21872, 72458}, {23067, 65103}, {23344, 61179}, {23493, 3208}, {24290, 52927}, {27801, 9448}, {28615, 4046}, {28625, 3715}, {28658, 3711}, {30457, 3198}, {30713, 560}, {30729, 58301}, {30730, 667}, {32009, 72636}, {32739, 4086}, {34068, 68925}, {34074, 4843}, {34080, 44729}, {34820, 37593}, {36197, 59}, {36910, 3724}, {38825, 42446}, {40433, 72589}, {40521, 7252}, {40729, 7081}, {40747, 4517}, {40934, 56243}, {40957, 56195}, {40965, 7123}, {40971, 41087}, {41013, 52425}, {41333, 4518}, {50487, 645}, {51377, 52663}, {51641, 6558}, {51858, 740}, {52020, 6605}, {52208, 72321}, {52384, 7368}, {53012, 7156}, {53581, 7257}, {55230, 65201}, {56127, 72609}, {56154, 66878}, {56181, 6378}, {56183, 647}, {56193, 9404}, {56246, 72613}, {56260, 7083}, {57731, 63462}, {59207, 60673}, {59272, 60711}, {60533, 6726}, {60539, 6725}, {60546, 60546}, {60676, 60713}, {60731, 69934}, {61178, 65102}, {62713, 72619}, {65160, 810}, {66882, 70661}, {66928, 7259}, {66975, 7258}
X(72633) = barycentric quotient X(i)/X(j) for these (i, j): {6, 57785}, {8, 6385}, {9, 310}, {10, 20567}, {31, 1434}, {32, 1014}, {33, 44129}, {37, 6063}, {41, 86}, {42, 85}, {55, 274}, {60, 57949}, {65, 57792}, {71, 7182}, {72, 57918}, {101, 4625}, {109, 4635}, {181, 1446}, {190, 55213}, {200, 28660}, {210, 76}, {212, 17206}, {213, 7}, {220, 314}, {228, 348}, {281, 57796}, {284, 873}, {321, 41283}, {333, 57992}, {346, 40072}, {512, 24002}, {560, 1412}, {607, 286}, {643, 52612}, {644, 670}, {646, 4609}, {650, 52619}, {652, 69830}, {657, 18155}, {661, 52621}, {663, 7199}, {667, 17096}, {669, 3669}, {692, 4573}, {756, 349}, {762, 34388}, {798, 3676}, {872, 226}, {1018, 4572}, {1020, 52937}, {1042, 23062}, {1084, 53540}, {1110, 4620}, {1212, 53236}, {1253, 333}, {1331, 55205}, {1333, 552}, {1334, 75}, {1400, 1088}, {1402, 279}, {1409, 7056}, {1410, 30682}, {1415, 4616}, {1427, 57880}, {1500, 1441}, {1501, 1408}, {1802, 332}, {1824, 331}, {1826, 57787}, {1917, 16947}, {1918, 57}, {1919, 7203}, {1924, 43924}, {1946, 15419}, {1974, 1396}, {2150, 6628}, {2175, 81}, {2194, 1509}, {2200, 77}, {2205, 56}, {2212, 27}, {2238, 18033}, {2269, 16739}, {2287, 18021}, {2293, 16708}, {2295, 7205}, {2318, 304}, {2321, 561}, {2328, 52379}, {2330, 8033}, {2332, 57779}, {2333, 273}, {2340, 18157}, {3063, 7192}, {3121, 1358}, {3271, 16727}, {3683, 52572}, {3688, 16703}, {3690, 1231}, {3694, 305}, {3699, 4602}, {3700, 40495}, {3701, 1502}, {3709, 693}, {3710, 40364}, {3724, 17078}, {3725, 3674}, {3747, 10030}, {3774, 7179}, {3778, 69663}, {3939, 799}, {3985, 18891}, {3990, 7055}, {4041, 3261}, {4055, 7183}, {4069, 1978}, {4079, 4077}, {4082, 28659}, {4111, 72268}, {4171, 35519}, {4433, 1921}, {4515, 3596}, {4516, 23989}, {4524, 4391}, {4531, 3662}, {4551, 46406}, {4557, 4554}, {4559, 4569}, {4571, 52608}, {4578, 62534}, {4587, 55202}, {4878, 21609}, {5546, 4623}, {5548, 4634}, {6057, 27801}, {6065, 4601}, {6066, 4567}, {6602, 1043}, {7063, 3125}, {7064, 321}, {7071, 31623}, {7077, 40017}, {7079, 44130}, {7083, 16750}, {7109, 65}, {7140, 52575}, {7180, 59941}, {7367, 57795}, {8641, 4560}, {8653, 4801}, {9426, 57181}, {9447, 58}, {9448, 1333}, {9449, 18165}, {14407, 69753}, {14827, 21}, {16584, 7185}, {18265, 37128}, {20229, 17169}, {20665, 33947}, {20683, 40704}, {20684, 33930}, {20691, 69913}, {20964, 7196}, {20967, 16705}, {21034, 7210}, {21039, 1233}, {21750, 7195}, {21751, 7248}, {21753, 4059}, {21795, 20880}, {21808, 63227}, {21814, 3665}, {21819, 2886}, {21872, 50560}, {23493, 7209}, {27801, 41287}, {30713, 1928}, {30730, 6386}, {32739, 1414}, {36197, 34387}, {39258, 9436}, {40599, 33933}, {40729, 7249}, {40935, 41777}, {40966, 20911}, {40972, 16887}, {40978, 62779}, {41333, 1447}, {46388, 23829}, {50487, 7178}, {51641, 58817}, {51858, 18827}, {52020, 59181}, {52065, 61052}, {52370, 69}, {52425, 1444}, {52963, 69734}, {53008, 1969}, {53013, 44190}, {53321, 36838}, {53581, 4017}, {55206, 46107}, {56183, 6331}, {56853, 34018}, {57180, 7253}, {57204, 43923}, {57652, 1847}, {57657, 757}, {58289, 69666}, {60713, 51314}, {61038, 17092}, {61364, 1427}, {62257, 18604}, {63461, 514}, {64454, 45208}, {65160, 57968}, {65201, 55229}, {65375, 4610}, {66975, 7216}, {69826, 664}, {70661, 1429}, {71619, 33949}, {72322, 64224}, {72588, 1269}, {72589, 20888}, {72606, 553}, {72609, 18164}, {72612, 32636}, {72613, 17167}, {72614, 92}, {72623, 1}, {72624, 1125}, {72634, 4359}, {72636, 3739}
X(72633) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 15624, 2223}, {6, 2223, 72637}, {10, 21069, 21023}, {37, 21867, 21804}, {37, 40965, 4516}, {41, 1253, 2175}, {42, 1400, 52020}, {42, 228, 1402}, {71, 4878, 20683}, {284, 3939, 2330}, {518, 5132, 37575}, {869, 2209, 2300}, {1964, 72247, 20228}, {2269, 2340, 3688}, {2293, 2347, 3271}, {2330, 60713, 284}, {2809, 25065, 17447}, {3774, 41333, 213}, {3870, 21371, 35892}, {4254, 6600, 55}, {4266, 64739, 3056}, {4557, 64169, 37}, {7064, 72634, 1334}, {16670, 16688, 36635}, {51902, 60714, 1045}, {53391, 55340, 63522}

X(72634) = {X(55), X(9)}-CROSS-CONCEVIAN PERSPECTOR

X(72634) lies on these lines: {9, 4111}, {21, 35104}, {35, 60703}, {45, 70542}, {55, 219}, {71, 52020}, {210, 4097}, {872, 52963}, {1213, 69842}, {1334, 7064}, {1500, 1918}, {1621, 17049}, {1962, 22080}, {2092, 3747}, {2245, 4068}, {2269, 3271}, {2667, 72571}, {3169, 4512}, {3647, 71333}, {3683, 3686}, {3704, 3883}, {3746, 9052}, {3879, 4640}, {3882, 45705}, {3939, 33635}, {4092, 15837}, {4516, 21811}, {4733, 15254}, {5853, 21677}, {8053, 68748}, {17363, 62838}, {17454, 35327}, {20683, 64169}, {20970, 72606}, {21816, 72594}, {35270, 72637}, {37568, 64174}, {52405, 60713}, {52959, 69550}, {67984, 69723}

X(72634) = perspector of circumconic {{A, B, C, X(5546), X(30729)}}
X(72634) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 40438}, {34, 57854}, {57, 32014}, {85, 1171}, {273, 57685}, {1014, 1268}, {1126, 57785}, {1255, 1434}, {1412, 32018}, {1414, 4608}, {1441, 52558}, {3669, 4632}, {3676, 4596}, {4077, 6578}, {4573, 47947}, {4625, 50344}, {4629, 24002}, {6540, 7203}, {7178, 62535}, {17095, 65048}, {17096, 37212}, {59194, 60732}
X(72634) = X(i)-Dao conjugate of X(j) for these {i, j}: {1125, 6063}, {3120, 52621}, {3647, 57785}, {5452, 32014}, {11517, 57854}, {40599, 32018}, {40608, 4608}, {59592, 310}
X(72634) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1962, 20970}, {3683, 72588}, {3939, 3709}
X(72634) = X(i)-cross conjugate of X(j) for these {i, j}: {72624, 20970}
X(72634) = pole of line {7, 552} with respect to the Stammler hyperbola
X(72634) = intersection, other than A, B, C, of circumconics {{A, B, C, X(55), X(4046)}}, {{A, B, C, X(219), X(21816)}}, {{A, B, C, X(284), X(1334)}}, {{A, B, C, X(430), X(8021)}}, {{A, B, C, X(1962), X(2328)}}, {{A, B, C, X(2194), X(3683)}}, {{A, B, C, X(3190), X(8013)}}, {{A, B, C, X(3709), X(33635)}}, {{A, B, C, X(4111), X(56154)}}
X(72634) = barycentric product X(i)*X(j) for these (i, j): {1, 72588}, {21, 21816}, {33, 3958}, {41, 4647}, {75, 72624}, {78, 72594}, {200, 72640}, {213, 3702}, {219, 430}, {220, 3649}, {284, 8013}, {312, 72606}, {318, 72628}, {333, 72625}, {345, 72599}, {346, 72639}, {645, 8663}, {650, 69842}, {1100, 210}, {1125, 1334}, {1213, 55}, {1230, 2175}, {1269, 72623}, {1839, 2318}, {1962, 9}, {2308, 2321}, {2355, 3694}, {3063, 61174}, {3596, 72612}, {3683, 37}, {3686, 42}, {3709, 4427}, {3900, 61170}, {3939, 4988}, {4001, 72614}, {4046, 6}, {4069, 4979}, {4115, 663}, {4171, 61225}, {4359, 72633}, {4524, 63782}, {4557, 4976}, {4559, 4990}, {4983, 644}, {4985, 69826}, {5546, 6367}, {7064, 8025}, {20970, 8}, {22054, 53008}, {22080, 281}, {30729, 512}, {30730, 50512}, {32636, 4515}, {33635, 8040}, {35327, 3700}, {35342, 4041}, {41014, 607}, {44143, 52425}, {52370, 56875}, {52576, 57657}, {63461, 65161}
X(72634) = barycentric quotient X(i)/X(j) for these (i, j): {41, 40438}, {55, 32014}, {210, 32018}, {219, 57854}, {430, 331}, {1100, 57785}, {1213, 6063}, {1230, 41283}, {1334, 1268}, {1962, 85}, {2175, 1171}, {2308, 1434}, {3649, 57792}, {3683, 274}, {3686, 310}, {3702, 6385}, {3709, 4608}, {3939, 4632}, {3958, 7182}, {4046, 76}, {4115, 4572}, {4647, 20567}, {4976, 52619}, {4983, 24002}, {4988, 52621}, {7064, 6539}, {8013, 349}, {8663, 7178}, {20970, 7}, {21816, 1441}, {22080, 348}, {30729, 670}, {35327, 4573}, {35342, 4625}, {36075, 4616}, {41014, 57918}, {50512, 17096}, {52425, 57685}, {57657, 52558}, {61170, 4569}, {61225, 4635}, {63461, 47947}, {65161, 55213}, {65375, 62535}, {69842, 4554}, {72588, 75}, {72594, 273}, {72599, 278}, {72606, 57}, {72612, 56}, {72621, 3665}, {72623, 1126}, {72624, 1}, {72625, 226}, {72628, 77}, {72633, 1255}, {72639, 279}, {72640, 1088}
X(72634) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {9, 4433, 4111}, {55, 40966, 72635}, {55, 72318, 3688}, {55, 72321, 284}, {1334, 72633, 7064}, {1962, 22080, 72639}, {2245, 4068, 4890}, {21811, 42446, 4516}, {72606, 72625, 20970}

X(72635) = {X(55), X(33)}-CROSS-CONCEVIAN PERSPECTOR

X(72635) lies on these lines: {1, 28258}, {8, 31496}, {41, 16588}, {42, 181}, {55, 219}, {60, 31660}, {73, 7143}, {197, 3207}, {200, 4111}, {851, 39793}, {893, 60673}, {1046, 48893}, {1324, 33771}, {1495, 2177}, {1500, 2200}, {1834, 42443}, {1962, 4516}, {2318, 7064}, {2361, 20959}, {2488, 63461}, {2646, 5745}, {2650, 72559}, {2667, 72615}, {3158, 4050}, {3185, 21746}, {3271, 14547}, {3689, 4046}, {3704, 56176}, {3709, 18000}, {3725, 40984}, {3779, 10434}, {4041, 11124}, {4061, 38408}, {4267, 10544}, {4531, 28622}, {4650, 48929}, {6007, 11688}, {8647, 72632}, {10460, 72637}, {12109, 35206}, {17018, 25059}, {18165, 63393}, {18191, 63332}, {18673, 52567}, {20683, 52139}, {20970, 40978}, {21795, 72623}, {23638, 70757}, {31880, 58889}, {35104, 56181}, {37593, 40965}, {37698, 50580}, {49599, 59302}, {52544, 64753}, {53110, 72636}, {72571, 72607}

X(72635) = perspector of circumconic {{A, B, C, X(4559), X(5546)}}
X(72635) = X(i)-isoconjugate-of-X(j) for these {i, j}: {2, 63194}, {7, 40430}, {34, 57833}, {57, 60235}, {86, 17097}, {273, 57668}, {286, 40442}, {1014, 65822}, {1414, 56321}
X(72635) = X(i)-Dao conjugate of X(j) for these {i, j}: {5452, 60235}, {5745, 6063}, {11517, 57833}, {17056, 310}, {21044, 3261}, {32664, 63194}, {37836, 7}, {40600, 17097}, {40608, 56321}
X(72635) = X(i)-Ceva conjugate of X(j) for these {i, j}: {101, 3709}, {2646, 21811}, {2650, 72571}
X(72635) = pole of line {14749, 40937} with respect to the Feuerbach hyperbola
X(72635) = pole of line {7, 261} with respect to the Stammler hyperbola
X(72635) = pole of line {6063, 18021} with respect to the Wallace hyperbola
X(72635) = pole of line X(i)X(j) wrt the circumconic with perspector X(k) for these {i,j,k}: {1021, 3287, 9}, {3709, 52310, 71}
X(72635) = intersection, other than A, B, C, of circumconics {{A, B, C, X(42), X(2328)}}, {{A, B, C, X(55), X(181)}}, {{A, B, C, X(219), X(2197)}}, {{A, B, C, X(284), X(1400)}}, {{A, B, C, X(407), X(8021)}}, {{A, B, C, X(1402), X(2194)}}, {{A, B, C, X(2092), X(46889)}}, {{A, B, C, X(2175), X(61364)}}, {{A, B, C, X(2318), X(22361)}}, {{A, B, C, X(3190), X(21674)}}, {{A, B, C, X(6186), X(72644)}}, {{A, B, C, X(20964), X(60673)}}
X(72635) = barycentric product X(i)*X(j) for these (i, j): {1, 21811}, {8, 72571}, {10, 21748}, {33, 72648}, {42, 5745}, {101, 62566}, {219, 407}, {281, 72559}, {312, 72607}, {318, 72629}, {346, 72638}, {1334, 3664}, {1400, 6737}, {1826, 22361}, {2194, 42708}, {2321, 72644}, {2646, 37}, {2650, 9}, {3694, 40985}, {3700, 53324}, {4565, 65806}, {17056, 55}, {17136, 3709}, {18698, 41}, {21674, 284}, {21677, 6}, {22003, 663}, {23755, 3939}, {30604, 5549}, {40950, 71}, {53388, 661}
X(72635) = barycentric quotient X(i)/X(j) for these (i, j): {31, 63194}, {41, 40430}, {55, 60235}, {213, 17097}, {219, 57833}, {407, 331}, {1334, 65822}, {2200, 40442}, {2646, 274}, {2650, 85}, {3709, 56321}, {5745, 310}, {6737, 28660}, {17056, 6063}, {18698, 20567}, {21674, 349}, {21677, 76}, {21748, 86}, {21811, 75}, {22003, 4572}, {22361, 17206}, {23755, 52621}, {40950, 44129}, {52425, 57668}, {53324, 4573}, {53388, 799}, {62566, 3261}, {72559, 348}, {72571, 7}, {72607, 57}, {72629, 77}, {72638, 279}, {72644, 1434}, {72648, 7182}
X(72635) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {42, 1402, 52020}, {42, 228, 181}, {42, 3724, 40952}, {55, 3190, 3688}, {55, 40966, 72634}, {2650, 72559, 72638}, {3724, 40952, 72639}, {14547, 20967, 3271}

X(72636) = {X(55), X(41)}-CROSS-CONCEVIAN PERSPECTOR

X(72636) lies on these lines: {8, 21}, {42, 23447}, {100, 16917}, {1334, 7064}, {1621, 16912}, {2295, 64169}, {2340, 40966}, {2667, 22369}, {3691, 4111}, {3746, 69099}, {3780, 8053}, {3915, 40732}, {4436, 4754}, {8299, 26965}, {21753, 72608}, {34284, 64727}, {53110, 72635}

X(72636) = X(i)-isoconjugate-of-X(j) for these {i, j}: {7, 40439}, {85, 40408}, {226, 59147}, {552, 72048}, {1434, 32009}, {4573, 72049}, {4625, 50520}, {40433, 57785}
X(72636) = X(i)-Dao conjugate of X(j) for these {i, j}: {3121, 24002}, {3739, 6063}
X(72636) = X(i)-Ceva conjugate of X(j) for these {i, j}: {2667, 21753}
X(72636) = pole of line {56, 552} with respect to the Stammler hyperbola
X(72636) = intersection, other than A, B, C, of circumconics {{A, B, C, X(8), X(4111)}}, {{A, B, C, X(21), X(72608)}}, {{A, B, C, X(333), X(1334)}}, {{A, B, C, X(345), X(21820)}}, {{A, B, C, X(1043), X(2667)}}, {{A, B, C, X(1792), X(22369)}}
X(72636) = barycentric product X(i)*X(j) for these (i, j): {1, 72589}, {21, 21820}, {33, 72649}, {200, 72642}, {213, 3706}, {219, 72562}, {220, 39793}, {312, 72608}, {1334, 3720}, {2175, 53478}, {2194, 52579}, {2318, 40975}, {2321, 72265}, {2667, 9}, {3691, 42}, {3701, 72267}, {3709, 4436}, {3739, 72633}, {4041, 70144}, {4069, 68881}, {4111, 6}, {16589, 55}, {18166, 7064}, {20888, 72623}, {20963, 210}, {21020, 41}, {21699, 284}, {21753, 8}, {22369, 281}, {48264, 69826}, {50497, 644}, {50538, 5546}, {56245, 72620}, {61163, 663}, {63461, 70145}
X(72636) = barycentric quotient X(i)/X(j) for these (i, j): {41, 40439}, {2175, 40408}, {2194, 59147}, {2667, 85}, {3691, 310}, {3706, 6385}, {4111, 76}, {16589, 6063}, {20963, 57785}, {21020, 20567}, {21699, 349}, {21753, 7}, {21820, 1441}, {22369, 348}, {39793, 57792}, {50497, 24002}, {53478, 41283}, {61163, 4572}, {63461, 72049}, {70144, 4625}, {70145, 55213}, {72265, 1434}, {72267, 1014}, {72562, 331}, {72589, 75}, {72608, 57}, {72623, 40433}, {72633, 32009}, {72642, 1088}, {72649, 7182}

X(72637) = {X(56), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72637) lies on these lines: {1, 20793}, {3, 16475}, {6, 2223}, {7, 67331}, {9, 21010}, {25, 61375}, {31, 184}, {35, 69632}, {36, 23868}, {37, 16679}, {44, 20990}, {48, 60722}, {55, 1449}, {56, 269}, {75, 70123}, {100, 17121}, {105, 1014}, {181, 40958}, {213, 1964}, {228, 2308}, {238, 37609}, {354, 17194}, {572, 19133}, {579, 3056}, {583, 674}, {667, 21143}, {672, 3688}, {741, 51330}, {851, 61647}, {902, 23532}, {1001, 68653}, {1009, 5847}, {1011, 62845}, {1015, 40934}, {1100, 8053}, {1108, 4516}, {1201, 72638}, {1333, 1576}, {1386, 3286}, {1400, 3271}, {1404, 61399}, {1475, 2293}, {1740, 16476}, {1742, 22520}, {1743, 34247}, {1918, 3248}, {1977, 21751}, {2209, 23524}, {2242, 70553}, {2260, 21746}, {2309, 20985}, {2330, 5053}, {2352, 20967}, {2663, 71464}, {2667, 16971}, {3009, 61036}, {3052, 21785}, {3304, 38316}, {3663, 69723}, {3724, 21747}, {3747, 63504}, {3751, 37590}, {3779, 4253}, {3879, 8299}, {3888, 27678}, {4268, 47373}, {4319, 62738}, {4343, 17474}, {4360, 71673}, {4436, 4852}, {4447, 17353}, {4557, 16669}, {4641, 16687}, {4670, 16684}, {4672, 60723}, {4851, 70100}, {5022, 10387}, {5257, 71288}, {5429, 37620}, {8618, 20775}, {9247, 22363}, {9359, 51902}, {10460, 72635}, {16666, 16694}, {16693, 60697}, {16834, 64727}, {16975, 70556}, {17017, 22060}, {17053, 71279}, {17279, 70101}, {17379, 23407}, {17447, 69084}, {18170, 54282}, {18758, 33863}, {20892, 70117}, {20963, 70815}, {20964, 22343}, {20970, 22369}, {21002, 37580}, {21750, 72267}, {23204, 72639}, {23207, 61398}, {23545, 55053}, {23689, 69607}, {23863, 37608}, {24669, 69814}, {26959, 71629}, {27633, 70512}, {29982, 70116}, {31394, 50303}, {35270, 72634}, {35338, 61034}, {35892, 62853}, {36743, 37586}, {40133, 40965}, {41350, 51329}, {41430, 50114}, {46909, 70110}, {49537, 69700}, {50127, 64170}, {50661, 62841}, {53165, 69204}, {54327, 61358}, {70097, 72263}, {71139, 71444}, {71490, 72248}, {72606, 72629}

X(72637) = isogonal conjugate of X(57815)
X(72637) = perspector of circumconic {{A, B, C, X(1415), X(4617)}}
X(72637) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 57815}, {2, 32008}, {7, 56118}, {8, 21453}, {9, 31618}, {57, 63239}, {75, 2346}, {76, 1174}, {81, 56127}, {85, 6605}, {86, 56157}, {190, 56322}, {200, 42311}, {264, 47487}, {274, 56255}, {312, 1170}, {318, 40443}, {333, 60229}, {341, 61373}, {346, 10509}, {522, 6606}, {523, 55281}, {664, 62725}, {668, 58322}, {1121, 62728}, {1803, 7017}, {3699, 65552}, {4163, 65545}, {4384, 42310}, {4391, 65222}, {4441, 59193}, {4554, 62747}, {4847, 59475}, {6063, 10482}, {8817, 64438}, {20567, 59141}, {35519, 53243}
X(72637) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 57815}, {142, 3596}, {206, 2346}, {354, 33932}, {478, 31618}, {1212, 561}, {3119, 52622}, {5452, 63239}, {6609, 42311}, {32664, 32008}, {39025, 62725}, {40586, 56127}, {40600, 56157}, {40606, 76}, {55053, 56322}, {65525, 4397}
X(72637) = X(i)-Ceva conjugate of X(j) for these {i, j}: {31, 72609}, {56, 61376}, {1461, 3063}, {1475, 20229}, {32739, 667}
X(72637) = X(i)-cross conjugate of X(j) for these {i, j}: {72609, 20229}
X(72637) = pole of line {4979, 22383} with respect to the Brocard inellipse
X(72637) = pole of line {3247, 14746} with respect to the Feuerbach hyperbola
X(72637) = pole of line {314, 2346} with respect to the Stammler hyperbola
X(72637) = pole of line {40072, 57815} with respect to the Wallace hyperbola
X(72637) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(31), X(269)}}, {{A, B, C, X(56), X(2175)}}, {{A, B, C, X(142), X(56556)}}, {{A, B, C, X(184), X(7053)}}, {{A, B, C, X(213), X(55340)}}, {{A, B, C, X(354), X(1402)}}, {{A, B, C, X(604), X(738)}}, {{A, B, C, X(1014), X(2223)}}, {{A, B, C, X(1122), X(3059)}}, {{A, B, C, X(1212), X(2300)}}, {{A, B, C, X(1333), X(1418)}}, {{A, B, C, X(1397), X(7023)}}, {{A, B, C, X(1409), X(32658)}}, {{A, B, C, X(1827), X(2488)}}, {{A, B, C, X(2187), X(72596)}}, {{A, B, C, X(2212), X(7290)}}, {{A, B, C, X(3477), X(60722)}}, {{A, B, C, X(9455), X(51443)}}, {{A, B, C, X(40732), X(55967)}}, {{A, B, C, X(45785), X(53241)}}, {{A, B, C, X(48151), X(51657)}}
X(72637) = barycentric product X(i)*X(j) for these (i, j): {1, 1475}, {19, 22053}, {34, 72650}, {73, 72601}, {77, 72596}, {85, 72609}, {101, 48151}, {105, 68743}, {109, 21127}, {142, 31}, {163, 55282}, {228, 53238}, {269, 8012}, {354, 6}, {479, 8551}, {1014, 21795}, {1106, 51972}, {1212, 56}, {1229, 1397}, {1233, 560}, {1333, 3925}, {1400, 17194}, {1402, 16713}, {1407, 3059}, {1412, 21039}, {1415, 6362}, {1418, 55}, {1461, 6608}, {1827, 222}, {1855, 603}, {2162, 61034}, {2175, 59181}, {2194, 52023}, {2205, 53236}, {2210, 53239}, {2223, 53241}, {2251, 53240}, {2279, 59217}, {2293, 57}, {2350, 55340}, {2488, 651}, {3063, 35312}, {4617, 6607}, {4847, 604}, {10481, 41}, {10581, 934}, {13156, 2187}, {14827, 53242}, {15185, 57656}, {16708, 1918}, {17169, 213}, {18087, 1964}, {18164, 42}, {20229, 7}, {20880, 32}, {21104, 692}, {21808, 58}, {22079, 278}, {32677, 51424}, {35310, 3733}, {35326, 513}, {35338, 649}, {35341, 43924}, {40983, 63}, {45791, 7023}, {51384, 64216}, {51463, 9456}, {52020, 81}, {52425, 53237}, {57181, 65198}, {61241, 8641}, {61376, 9}, {63203, 663}, {63227, 9447}, {65195, 667}, {71710, 739}
X(72637) = barycentric quotient X(i)/X(j) for these (i, j): {6, 57815}, {31, 32008}, {32, 2346}, {41, 56118}, {42, 56127}, {55, 63239}, {56, 31618}, {142, 561}, {163, 55281}, {213, 56157}, {354, 76}, {560, 1174}, {604, 21453}, {667, 56322}, {1106, 10509}, {1212, 3596}, {1229, 40363}, {1233, 1928}, {1397, 1170}, {1402, 60229}, {1407, 42311}, {1415, 6606}, {1418, 6063}, {1475, 75}, {1827, 7017}, {1918, 56255}, {1919, 58322}, {2175, 6605}, {2293, 312}, {2488, 4391}, {3059, 59761}, {3063, 62725}, {3925, 27801}, {4847, 28659}, {6608, 52622}, {8012, 341}, {8551, 5423}, {9247, 47487}, {9447, 10482}, {9448, 59141}, {10481, 20567}, {10581, 4397}, {16713, 40072}, {17169, 6385}, {17194, 28660}, {18087, 18833}, {18164, 310}, {20229, 8}, {20880, 1502}, {21039, 30713}, {21104, 40495}, {21127, 35519}, {21795, 3701}, {21808, 313}, {22053, 304}, {22079, 345}, {35310, 27808}, {35326, 668}, {35338, 1978}, {40606, 33932}, {40983, 92}, {48151, 3261}, {52020, 321}, {52410, 61373}, {52411, 40443}, {53238, 57796}, {53239, 44172}, {55282, 20948}, {55340, 18152}, {57181, 65552}, {59181, 41283}, {59217, 21615}, {61034, 6382}, {61376, 85}, {63203, 4572}, {65195, 6386}, {68743, 3263}, {71710, 35543}, {72596, 318}, {72601, 44130}, {72609, 9}, {72650, 3718}
X(72637) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 2223, 72633}, {6, 3941, 2223}, {31, 40956, 1402}, {31, 604, 2175}, {31, 7032, 2300}, {1386, 3286, 37575}, {1449, 16688, 55}, {1475, 2293, 52020}, {1918, 3248, 20228}, {1964, 72265, 213}, {16679, 72252, 37}, {18164, 55340, 354}

X(72638) = {X(56), X(34)}-CROSS-CONCEVIAN PERSPECTOR

X(72638) lies on these lines: {1, 37425}, {56, 58}, {65, 4868}, {73, 181}, {1042, 1402}, {1201, 72637}, {1284, 1420}, {1319, 3636}, {1357, 61060}, {1359, 1365}, {1388, 11553}, {1403, 63580}, {1458, 10475}, {2646, 3664}, {2650, 72559}, {3271, 72604}, {3304, 4890}, {3445, 39688}, {4854, 20323}, {5061, 57283}, {5434, 50226}, {7181, 16887}, {9552, 27339}, {20970, 72642}, {24928, 63997}, {33097, 48894}, {37558, 59315}, {37583, 70222}, {40984, 72533}, {51788, 68846}, {54417, 63316}, {72571, 72629}

X(72638) = X(i)-isoconjugate-of-X(j) for these {i, j}: {8, 40430}, {9, 60235}, {21, 65822}, {33, 57833}, {318, 57668}, {346, 63194}, {643, 56321}, {1043, 17097}
X(72638) = X(i)-Dao conjugate of X(j) for these {i, j}: {478, 60235}, {5745, 3596}, {21044, 52622}, {37836, 8}, {40611, 65822}, {55060, 56321}, {59602, 28660}
X(72638) = X(i)-Ceva conjugate of X(j) for these {i, j}: {56, 72644}, {1461, 7180}
X(72638) = X(i)-cross conjugate of X(j) for these {i, j}: {72607, 72571}
X(72638) = pole of line {8672, 23755} with respect to the incircle
X(72638) = intersection, other than A, B, C, of circumconics {{A, B, C, X(56), X(7143)}}, {{A, B, C, X(58), X(1042)}}, {{A, B, C, X(407), X(859)}}, {{A, B, C, X(995), X(21674)}}, {{A, B, C, X(1402), X(2194)}}, {{A, B, C, X(1410), X(1437)}}, {{A, B, C, X(1412), X(62192)}}, {{A, B, C, X(17056), X(40153)}}, {{A, B, C, X(53324), X(58982)}}
X(72638) = barycentric product X(i)*X(j) for these (i, j): {7, 72571}, {34, 72648}, {85, 72607}, {109, 23755}, {222, 407}, {226, 72644}, {273, 72629}, {278, 72559}, {279, 72635}, {1042, 5745}, {1214, 40985}, {1400, 3664}, {1407, 21677}, {1408, 42708}, {1412, 21674}, {1427, 2646}, {1461, 62566}, {2650, 57}, {17056, 56}, {17136, 7180}, {18698, 604}, {21748, 3668}, {21811, 269}, {22003, 43924}, {37836, 40160}, {40950, 52373}, {53324, 7178}, {53388, 7216}, {62192, 6737}
X(72638) = barycentric quotient X(i)/X(j) for these (i, j): {56, 60235}, {222, 57833}, {407, 7017}, {604, 40430}, {1106, 63194}, {1400, 65822}, {2650, 312}, {3664, 28660}, {7180, 56321}, {17056, 3596}, {17136, 62534}, {18698, 28659}, {21674, 30713}, {21677, 59761}, {21748, 1043}, {21811, 341}, {23755, 35519}, {40985, 31623}, {52411, 57668}, {53324, 645}, {53388, 7258}, {62566, 52622}, {72559, 345}, {72571, 8}, {72607, 9}, {72629, 78}, {72635, 346}, {72644, 333}, {72648, 3718}
X(72638) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {56, 4306, 1401}, {1042, 1410, 7143}, {2650, 72559, 72635}

X(72639) = {X(56), X(57)}-CROSS-CONCEVIAN PERSPECTOR

X(72639) lies on these lines: {1, 14636}, {31, 1495}, {42, 181}, {55, 4890}, {56, 58}, {57, 846}, {65, 3743}, {109, 53688}, {226, 25354}, {553, 1125}, {1149, 10475}, {1155, 4854}, {1357, 28360}, {1360, 1365}, {1460, 1486}, {1469, 16878}, {1962, 22080}, {2223, 72632}, {2245, 40966}, {2260, 20967}, {2308, 23201}, {2352, 21746}, {3028, 41192}, {3122, 40984}, {3271, 40956}, {3579, 68846}, {3725, 72571}, {3911, 59628}, {4184, 46923}, {4442, 9352}, {5221, 11553}, {5434, 49729}, {5902, 6176}, {6007, 13588}, {7113, 20959}, {7180, 18001}, {10473, 25058}, {10877, 21010}, {11246, 24220}, {15904, 40959}, {17182, 17768}, {17592, 48886}, {20970, 72624}, {20986, 21773}, {23204, 72637}, {25889, 28274}, {37582, 63997}, {41346, 51619}, {48919, 66644}, {50604, 63295}, {51641, 58150}, {61047, 61052}

X(72639) = perspector of circumconic {{A, B, C, X(4559), X(4565)}}
X(72639) = X(i)-isoconjugate-of-X(j) for these {i, j}: {8, 40438}, {9, 32014}, {21, 1268}, {33, 57854}, {81, 4102}, {86, 32635}, {274, 33635}, {284, 32018}, {312, 1171}, {314, 1126}, {318, 57685}, {333, 1255}, {522, 4596}, {643, 4608}, {645, 47947}, {650, 4632}, {1796, 31623}, {2185, 6539}, {3615, 59140}, {3700, 62535}, {3701, 52558}, {3737, 6540}, {4086, 6578}, {4391, 4629}, {4560, 37212}, {4612, 31010}, {4631, 58294}, {7257, 50344}, {8701, 18155}, {28615, 28660}, {42033, 65048}, {52379, 52555}, {56440, 60139}, {59194, 60730}
X(72639) = X(i)-Dao conjugate of X(j) for these {i, j}: {478, 32014}, {1125, 3596}, {1213, 28660}, {3120, 35519}, {3647, 314}, {40586, 4102}, {40590, 32018}, {40600, 32635}, {40611, 1268}, {55060, 4608}, {56846, 310}, {62588, 40072}
X(72639) = X(i)-Ceva conjugate of X(j) for these {i, j}: {109, 7180}, {32636, 72640}, {72640, 20970}
X(72639) = X(i)-cross conjugate of X(j) for these {i, j}: {72606, 20970}
X(72639) = pole of line {2605, 7180} with respect to the circumcircle
X(72639) = pole of line {661, 14399} with respect to the Brocard inellipse
X(72639) = pole of line {14749, 50189} with respect to the Feuerbach hyperbola
X(72639) = pole of line {8, 261} with respect to the Stammler hyperbola
X(72639) = pole of line {3596, 4042} with respect to the Wallace hyperbola
X(72639) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(15670)}}, {{A, B, C, X(31), X(3647)}}, {{A, B, C, X(42), X(58)}}, {{A, B, C, X(56), X(181)}}, {{A, B, C, X(222), X(2197)}}, {{A, B, C, X(228), X(1437)}}, {{A, B, C, X(430), X(859)}}, {{A, B, C, X(512), X(58285)}}, {{A, B, C, X(553), X(1400)}}, {{A, B, C, X(995), X(8013)}}, {{A, B, C, X(1100), X(28658)}}, {{A, B, C, X(1213), X(2092)}}, {{A, B, C, X(1397), X(61364)}}, {{A, B, C, X(1402), X(1408)}}, {{A, B, C, X(2194), X(3683)}}, {{A, B, C, X(3650), X(61375)}}, {{A, B, C, X(3724), X(4973)}}, {{A, B, C, X(4697), X(20964)}}, {{A, B, C, X(16466), X(21816)}}, {{A, B, C, X(20966), X(52564)}}
X(72639) = barycentric product X(i)*X(j) for these (i, j): {1, 72640}, {34, 3958}, {42, 553}, {77, 72594}, {85, 72606}, {109, 4988}, {181, 8025}, {222, 430}, {226, 2308}, {269, 72588}, {273, 72628}, {279, 72634}, {348, 72599}, {512, 63782}, {513, 61170}, {1014, 21816}, {1042, 3686}, {1088, 72624}, {1100, 65}, {1125, 1400}, {1213, 56}, {1214, 2355}, {1230, 1397}, {1402, 4359}, {1407, 4046}, {1409, 56875}, {1412, 8013}, {1415, 30591}, {1427, 3683}, {1434, 72625}, {1839, 73}, {1880, 3916}, {1962, 57}, {2171, 69840}, {2197, 31900}, {3578, 69470}, {3649, 6}, {3669, 69842}, {4001, 57652}, {4115, 43924}, {4427, 7180}, {4551, 4979}, {4552, 50512}, {4559, 4977}, {4565, 6367}, {4573, 8663}, {4647, 604}, {4697, 65011}, {4976, 53321}, {4983, 651}, {6063, 72612}, {16577, 59179}, {16947, 52576}, {17454, 52382}, {20970, 7}, {21741, 52569}, {21859, 69841}, {22054, 225}, {22080, 278}, {23201, 40149}, {28658, 4870}, {30724, 4557}, {30729, 7250}, {32636, 37}, {35327, 7178}, {35342, 4017}, {36075, 523}, {41014, 608}, {44143, 52411}, {51641, 65161}, {52572, 61364}, {57181, 61174}, {61225, 661}
X(72639) = barycentric quotient X(i)/X(j) for these (i, j): {42, 4102}, {56, 32014}, {65, 32018}, {109, 4632}, {181, 6539}, {213, 32635}, {222, 57854}, {430, 7017}, {553, 310}, {604, 40438}, {1100, 314}, {1125, 28660}, {1213, 3596}, {1230, 40363}, {1397, 1171}, {1400, 1268}, {1402, 1255}, {1415, 4596}, {1839, 44130}, {1918, 33635}, {1962, 312}, {2308, 333}, {2355, 31623}, {3649, 76}, {3958, 3718}, {4046, 59761}, {4359, 40072}, {4427, 62534}, {4559, 6540}, {4647, 28659}, {4979, 18155}, {4983, 4391}, {4988, 35519}, {7180, 4608}, {8013, 30713}, {8025, 18021}, {8663, 3700}, {16947, 52558}, {20970, 8}, {21741, 59140}, {21816, 3701}, {22054, 332}, {22080, 345}, {23201, 1812}, {30724, 52619}, {32636, 274}, {35327, 645}, {35342, 7257}, {36075, 99}, {41014, 57919}, {50512, 4560}, {51641, 47947}, {52411, 57685}, {61170, 668}, {61225, 799}, {61364, 52555}, {63782, 670}, {66928, 31010}, {66975, 58294}, {69470, 60139}, {69840, 52379}, {69842, 646}, {72588, 341}, {72594, 318}, {72599, 281}, {72606, 9}, {72612, 55}, {72621, 3703}, {72624, 200}, {72625, 2321}, {72628, 78}, {72634, 346}, {72640, 75}
X(72639) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {31, 6186, 1495}, {57, 1284, 39793}, {1400, 1402, 181}, {1962, 22080, 72634}, {3122, 72607, 40984}, {3724, 40952, 72635}

X(72640) = {X(57), X(7)}-CROSS-CONCEVIAN PERSPECTOR

X(72640) lies on these lines: {1, 37508}, {6, 1406}, {7, 1654}, {9, 11684}, {19, 1835}, {36, 17440}, {37, 65}, {46, 2268}, {56, 1030}, {57, 77}, {79, 32431}, {142, 24633}, {169, 1046}, {181, 21805}, {226, 40999}, {244, 2300}, {442, 21014}, {484, 55100}, {527, 24993}, {553, 3578}, {572, 3336}, {573, 5902}, {579, 17451}, {583, 61704}, {661, 58900}, {672, 42438}, {758, 21033}, {942, 2269}, {1100, 17454}, {1195, 2170}, {1213, 3649}, {1402, 21806}, {1404, 15586}, {1442, 60715}, {1464, 4272}, {1475, 2262}, {1486, 23230}, {1652, 5362}, {1653, 5367}, {1901, 21044}, {1962, 22080}, {2092, 2650}, {2093, 54359}, {2246, 59817}, {2265, 5356}, {2308, 2355}, {2642, 51663}, {3119, 9119}, {3125, 40977}, {3169, 3873}, {3754, 21061}, {3936, 38408}, {4032, 71604}, {4047, 59207}, {4084, 21078}, {4683, 56745}, {4771, 17490}, {4890, 42446}, {5244, 69667}, {5434, 17362}, {5903, 17452}, {7178, 47935}, {10404, 17275}, {10473, 17450}, {15496, 61358}, {16503, 60948}, {16671, 70798}, {16777, 64963}, {17438, 21773}, {17439, 26744}, {17754, 22230}, {18591, 21798}, {18698, 69711}, {21065, 21928}, {22174, 70872}, {24471, 34253}, {25004, 27559}, {28615, 36074}, {28642, 41246}, {34195, 71168}, {36808, 56556}, {37544, 43065}, {39956, 65011}, {43682, 54929}, {51194, 60938}, {54358, 69240}, {55090, 62189}, {65680, 65707}, {68765, 69643}

X(72640) = perspector of circumconic {{A, B, C, X(1414), X(4551)}}
X(72640) = X(i)-isoconjugate-of-X(j) for these {i, j}: {8, 1171}, {9, 40438}, {21, 1255}, {29, 1796}, {55, 32014}, {58, 4102}, {60, 6539}, {81, 32635}, {86, 33635}, {261, 52555}, {281, 57685}, {284, 1268}, {314, 28615}, {333, 1126}, {522, 4629}, {607, 57854}, {643, 47947}, {645, 50344}, {663, 4632}, {2194, 32018}, {2321, 52558}, {3700, 6578}, {3737, 37212}, {4041, 62535}, {4420, 65048}, {4560, 8701}, {4608, 5546}, {4631, 58301}, {4636, 31010}, {6540, 7252}, {35193, 60139}, {56440, 57419}, {59194, 60731}
X(72640) = X(i)-Dao conjugate of X(j) for these {i, j}: {10, 4102}, {223, 32014}, {478, 40438}, {1125, 312}, {1213, 314}, {1214, 32018}, {3120, 4391}, {3647, 333}, {35076, 18155}, {40586, 32635}, {40590, 1268}, {40600, 33635}, {40611, 1255}, {55060, 47947}, {56846, 274}, {62588, 28660}
X(72640) = X(i)-Ceva conjugate of X(j) for these {i, j}: {57, 32636}, {553, 3649}, {651, 4017}, {3649, 1962}, {21859, 7180}, {32636, 72639}, {36075, 4979}
X(72640) = X(i)-cross conjugate of X(j) for these {i, j}: {20970, 1962}
X(72640) = pole of line {3611, 52020} with respect to the Jerabek hyperbola
X(72640) = pole of line {12, 27555} with respect to the Kiepert hyperbola
X(72640) = pole of line {9, 2185} with respect to the Stammler hyperbola
X(72640) = pole of line {523, 11125} with respect to the Hofstadter ellipse
X(72640) = pole of line {312, 52379} with respect to the Wallace hyperbola
X(72640) = intersection, other than A, B, C, of circumconics {{A, B, C, X(6), X(3578)}}, {{A, B, C, X(37), X(81)}}, {{A, B, C, X(57), X(2171)}}, {{A, B, C, X(65), X(1014)}}, {{A, B, C, X(71), X(1790)}}, {{A, B, C, X(77), X(201)}}, {{A, B, C, X(284), X(1334)}}, {{A, B, C, X(430), X(1817)}}, {{A, B, C, X(553), X(1400)}}, {{A, B, C, X(661), X(11076)}}, {{A, B, C, X(1125), X(53114)}}, {{A, B, C, X(1449), X(21816)}}, {{A, B, C, X(2092), X(55333)}}, {{A, B, C, X(2245), X(4979)}}, {{A, B, C, X(2280), X(72625)}}, {{A, B, C, X(2292), X(4647)}}, {{A, B, C, X(2294), X(59179)}}, {{A, B, C, X(2295), X(39956)}}, {{A, B, C, X(3647), X(57419)}}, {{A, B, C, X(4016), X(18601)}}, {{A, B, C, X(4699), X(59218)}}, {{A, B, C, X(4969), X(21805)}}, {{A, B, C, X(4977), X(20718)}}, {{A, B, C, X(4988), X(21801)}}, {{A, B, C, X(5221), X(40999)}}, {{A, B, C, X(5256), X(8013)}}, {{A, B, C, X(17074), X(56325)}}, {{A, B, C, X(18163), X(21809)}}, {{A, B, C, X(18164), X(21808)}}, {{A, B, C, X(28787), X(41014)}}, {{A, B, C, X(31900), X(37225)}}, {{A, B, C, X(37508), X(60172)}}, {{A, B, C, X(39258), X(72606)}}, {{A, B, C, X(61170), X(61171)}}
X(72640) = barycentric product X(i)*X(j) for these (i, j): {1, 3649}, {10, 32636}, {12, 69840}, {34, 41014}, {37, 553}, {75, 72639}, {109, 30591}, {201, 31900}, {225, 3916}, {269, 4046}, {278, 3958}, {279, 72588}, {331, 72628}, {348, 72594}, {430, 77}, {514, 61170}, {523, 61225}, {1014, 8013}, {1018, 30724}, {1020, 4976}, {1042, 3702}, {1088, 72634}, {1100, 226}, {1125, 65}, {1213, 57}, {1214, 1839}, {1230, 604}, {1269, 1402}, {1400, 4359}, {1408, 52576}, {1414, 6367}, {1427, 3686}, {1434, 21816}, {1441, 2308}, {1577, 36075}, {1880, 4001}, {1962, 7}, {2171, 8025}, {2355, 307}, {2594, 52569}, {3647, 52382}, {3668, 3683}, {3669, 4115}, {3676, 69842}, {4017, 4427}, {4551, 4977}, {4552, 4979}, {4559, 4978}, {4625, 8663}, {4647, 56}, {4674, 5298}, {4870, 53114}, {4973, 52383}, {4983, 664}, {4985, 53321}, {4988, 651}, {6063, 72606}, {7182, 72599}, {16709, 181}, {17454, 43682}, {20567, 72612}, {20615, 4065}, {20970, 85}, {21859, 69843}, {22054, 40149}, {22080, 273}, {23201, 57809}, {30729, 7216}, {35327, 4077}, {35342, 7178}, {40999, 59179}, {41501, 41547}, {41542, 5620}, {43924, 61174}, {44143, 603}, {56875, 73}, {57785, 72625}, {57792, 72624}, {63782, 661}, {65161, 7180}
X(72640) = barycentric quotient X(i)/X(j) for these (i, j): {37, 4102}, {42, 32635}, {56, 40438}, {57, 32014}, {65, 1268}, {77, 57854}, {109, 4596}, {213, 33635}, {226, 32018}, {430, 318}, {553, 274}, {603, 57685}, {604, 1171}, {651, 4632}, {1100, 333}, {1125, 314}, {1213, 312}, {1230, 28659}, {1269, 40072}, {1400, 1255}, {1402, 1126}, {1408, 52558}, {1409, 1796}, {1415, 4629}, {1839, 31623}, {1962, 8}, {2171, 6539}, {2308, 21}, {2355, 29}, {2594, 59140}, {3649, 75}, {3683, 1043}, {3916, 332}, {3958, 345}, {4017, 4608}, {4046, 341}, {4115, 646}, {4359, 28660}, {4427, 7257}, {4551, 6540}, {4559, 37212}, {4565, 62535}, {4647, 3596}, {4977, 18155}, {4979, 4560}, {4983, 522}, {4988, 4391}, {5298, 30939}, {6367, 4086}, {7180, 47947}, {8013, 3701}, {8025, 52379}, {8040, 3702}, {8663, 4041}, {16709, 18021}, {17454, 56440}, {20970, 9}, {21816, 2321}, {22054, 1812}, {22080, 78}, {23201, 283}, {30591, 35519}, {30724, 7199}, {30729, 7258}, {31900, 57779}, {32636, 86}, {35327, 643}, {35342, 645}, {36075, 662}, {41014, 3718}, {50512, 3737}, {51641, 50344}, {56875, 44130}, {57185, 31010}, {59179, 3615}, {59218, 60730}, {61170, 190}, {61225, 99}, {63782, 799}, {65161, 62534}, {66975, 58301}, {69470, 57419}, {69840, 261}, {69842, 3699}, {72588, 346}, {72594, 281}, {72599, 33}, {72606, 55}, {72612, 41}, {72617, 4060}, {72621, 33299}, {72624, 220}, {72625, 210}, {72628, 219}, {72634, 200}, {72639, 1}
X(72640) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 2160, 2173}, {65, 1400, 2171}, {65, 72642, 45208}, {1213, 3958, 72588}, {1449, 16553, 284}, {2245, 2294, 21811}, {3125, 72571, 40977}, {51976, 51977, 81}

X(72641) = {X(57), X(34)}-CROSS-CONCEVIAN PERSPECTOR

X(72641) lies on these lines: {7, 26134}, {31, 72125}, {39, 1401}, {44, 583}, {56, 292}, {57, 85}, {63, 25918}, {65, 17448}, {603, 604}, {664, 3503}, {672, 30618}, {875, 51641}, {1015, 2179}, {1122, 20459}, {1212, 69030}, {1397, 40370}, {1402, 70620}, {1414, 39276}, {1475, 59173}, {1755, 2275}, {1908, 20963}, {1964, 20775}, {2225, 23649}, {3218, 7187}, {3752, 23640}, {4253, 39048}, {4670, 24739}, {5022, 5364}, {5369, 71281}, {8679, 23637}, {16604, 24511}, {24691, 30617}, {24914, 25610}, {28367, 28391}, {31442, 72589}, {40955, 40961}, {43039, 68372}, {45785, 52635}

X(72641) = perspector of circumconic {{A, B, C, X(4625), X(46153)}}
X(72641) = X(i)-isoconjugate-of-X(j) for these {i, j}: {6, 62539}, {8, 83}, {9, 3112}, {21, 56186}, {41, 18833}, {55, 308}, {75, 56245}, {82, 312}, {219, 46104}, {251, 3596}, {261, 61405}, {281, 1799}, {284, 56251}, {314, 18098}, {318, 34055}, {333, 18082}, {345, 32085}, {643, 18070}, {645, 58784}, {646, 18108}, {689, 3709}, {1016, 18101}, {1043, 18097}, {1176, 7017}, {1222, 18086}, {2175, 40016}, {2321, 52394}, {3699, 10566}, {3700, 4577}, {3701, 52376}, {3703, 52395}, {4030, 40425}, {4041, 4593}, {4076, 61404}, {4086, 4599}, {4580, 36797}, {4628, 35519}, {5546, 52618}, {6064, 34294}, {6740, 71396}, {7155, 62537}, {7257, 55240}, {14970, 70386}, {15628, 20022}, {18087, 56118}, {18089, 72047}, {18105, 62534}, {18111, 65192}, {28659, 46289}, {29534, 56143}, {36800, 71136}, {37204, 63461}, {40363, 46288}, {42396, 52355}, {52425, 68630}
X(72641) = X(i)-Dao conjugate of X(j) for these {i, j}: {9, 62539}, {39, 28659}, {141, 312}, {206, 56245}, {223, 308}, {478, 3112}, {3124, 4086}, {3160, 18833}, {34452, 9}, {40585, 3596}, {40590, 56251}, {40593, 40016}, {40611, 56186}, {52042, 33299}, {55050, 4041}, {55060, 18070}, {62602, 68630}
X(72641) = X(i)-Ceva conjugate of X(j) for these {i, j}: {1401, 1964}, {1414, 51641}
X(72641) = X(i)-cross conjugate of X(j) for these {i, j}: {3051, 1964}
X(72641) = pole of line {41, 312} with respect to the Stammler hyperbola
X(72641) = pole of line {4874, 48283} with respect to the Hofstadter ellipse
X(72641) = pole of line {9, 28659} with respect to the Wallace hyperbola
X(72641) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(38), X(16739)}}, {{A, B, C, X(39), X(274)}}, {{A, B, C, X(85), X(604)}}, {{A, B, C, X(333), X(3051)}}, {{A, B, C, X(603), X(7182)}}, {{A, B, C, X(688), X(35102)}}, {{A, B, C, X(849), X(30663)}}, {{A, B, C, X(875), X(8033)}}, {{A, B, C, X(1401), X(1408)}}, {{A, B, C, X(1434), X(16947)}}, {{A, B, C, X(1923), X(18206)}}, {{A, B, C, X(3954), X(33934)}}, {{A, B, C, X(4020), X(17206)}}, {{A, B, C, X(4384), X(41267)}}, {{A, B, C, X(16054), X(27369)}}, {{A, B, C, X(17442), X(21123)}}, {{A, B, C, X(19804), X(21814)}}
X(72641) = barycentric product X(i)*X(j) for these (i, j): {1, 1401}, {31, 3665}, {34, 3917}, {38, 56}, {39, 57}, {58, 69668}, {109, 2530}, {141, 604}, {269, 3688}, {278, 4020}, {279, 40972}, {331, 72630}, {427, 603}, {1014, 21035}, {1106, 3703}, {1284, 46159}, {1319, 46150}, {1333, 69667}, {1393, 16030}, {1395, 3933}, {1397, 1930}, {1400, 16696}, {1402, 16887}, {1407, 33299}, {1408, 15523}, {1409, 17171}, {1412, 3954}, {1414, 3005}, {1415, 16892}, {1431, 71074}, {1434, 21814}, {1455, 46359}, {1458, 46149}, {1459, 46152}, {1464, 46160}, {1634, 4017}, {1843, 77}, {1923, 6063}, {1964, 7}, {2084, 4573}, {2206, 69665}, {3051, 85}, {3404, 43034}, {3669, 46148}, {4565, 8061}, {4568, 57181}, {4576, 51641}, {4625, 688}, {16720, 66996}, {16945, 4884}, {17187, 65}, {17442, 222}, {20021, 51651}, {20567, 41331}, {20775, 273}, {20883, 52411}, {21108, 36059}, {21123, 651}, {24027, 71213}, {27369, 7182}, {27376, 7125}, {35325, 51664}, {35333, 53539}, {41267, 57785}, {41285, 46289}, {41526, 62541}, {43924, 4553}, {46147, 51654}, {46151, 51640}, {46153, 513}, {46154, 51653}, {46158, 51657}, {46162, 53528}, {46163, 53544}, {46164, 51647}, {50521, 664}, {55213, 9494}, {57787, 68651}, {58335, 6614}, {61316, 738}, {71216, 849}
X(72641) = barycentric quotient X(i)/X(j) for these (i, j): {1, 62539}, {7, 18833}, {32, 56245}, {34, 46104}, {38, 3596}, {39, 312}, {56, 3112}, {57, 308}, {65, 56251}, {85, 40016}, {141, 28659}, {273, 68630}, {603, 1799}, {604, 83}, {688, 4041}, {1395, 32085}, {1397, 82}, {1400, 56186}, {1401, 75}, {1402, 18082}, {1408, 52394}, {1414, 689}, {1634, 7257}, {1843, 318}, {1923, 55}, {1930, 40363}, {1964, 8}, {2084, 3700}, {2530, 35519}, {3005, 4086}, {3051, 9}, {3248, 18101}, {3665, 561}, {3688, 341}, {3917, 3718}, {3954, 30713}, {4017, 52618}, {4020, 345}, {4565, 4593}, {4573, 37204}, {4625, 42371}, {7180, 18070}, {9494, 63461}, {16696, 28660}, {16887, 40072}, {16947, 52376}, {17187, 314}, {17442, 7017}, {20228, 18086}, {20775, 78}, {21035, 3701}, {21123, 4391}, {21752, 4095}, {21814, 2321}, {23208, 4123}, {27369, 33}, {27374, 7069}, {33299, 59761}, {35334, 65849}, {40972, 346}, {41267, 210}, {41280, 46289}, {41331, 41}, {41526, 62537}, {46148, 646}, {46153, 668}, {50521, 522}, {51641, 58784}, {51651, 20022}, {52411, 34055}, {57181, 10566}, {59994, 33299}, {61218, 65201}, {61316, 30693}, {68651, 212}, {69667, 27801}, {69668, 313}, {72112, 3703}, {72616, 17500}, {72630, 219}
X(72641) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {39, 4020, 40972}, {57, 1424, 85}

X(72642) = {X(57), X(56)}-CROSS-CONCEVIAN PERSPECTOR

X(72642) lies on these lines: {7, 26045}, {37, 65}, {56, 18755}, {57, 85}, {226, 53112}, {604, 4273}, {672, 3812}, {1475, 3752}, {2136, 71177}, {2179, 69234}, {2260, 41015}, {2285, 50198}, {2667, 22369}, {3125, 40978}, {3210, 20247}, {3212, 17497}, {3691, 3739}, {4253, 16611}, {4719, 17474}, {4955, 52896}, {5221, 56556}, {8850, 32636}, {16589, 39793}, {20470, 23623}, {20970, 72638}, {20984, 66971}, {24511, 69235}, {26934, 69242}, {34791, 53552}, {38930, 69724}, {39966, 65011}, {40972, 69217}, {72571, 72595}

X(72642) = perspector of circumconic {{A, B, C, X(4551), X(4625)}}
X(72642) = X(i)-isoconjugate-of-X(j) for these {i, j}: {8, 40408}, {9, 40439}, {21, 32009}, {81, 72047}, {210, 59147}, {314, 57397}, {333, 40433}, {643, 72049}, {645, 50520}, {2185, 72048}, {4560, 8708}
X(72642) = X(i)-Dao conjugate of X(j) for these {i, j}: {478, 40439}, {3121, 522}, {3739, 312}, {16589, 28660}, {40586, 72047}, {40611, 32009}, {55060, 72049}, {62646, 314}
X(72642) = X(i)-Ceva conjugate of X(j) for these {i, j}: {664, 51641}, {39793, 2667}
X(72642) = X(i)-cross conjugate of X(j) for these {i, j}: {21753, 2667}
X(72642) = pole of line {55206, 57215} with respect to the polar circle
X(72642) = pole of line {41, 2185} with respect to the Stammler hyperbola
X(72642) = pole of line {9, 52379} with respect to the Wallace hyperbola
X(72642) = pole of line X(i)X(j) wrt the circumconic with perspector X(k) for these {i,j,k}: {4369, 50346, 1}, {17096, 51641, 7}
X(72642) = intersection, other than A, B, C, of circumconics {{A, B, C, X(37), X(274)}}, {{A, B, C, X(65), X(4059)}}, {{A, B, C, X(71), X(17206)}}, {{A, B, C, X(85), X(2171)}}, {{A, B, C, X(181), X(20616)}}, {{A, B, C, X(201), X(7182)}}, {{A, B, C, X(333), X(1334)}}, {{A, B, C, X(1400), X(1434)}}, {{A, B, C, X(2198), X(72267)}}, {{A, B, C, X(2245), X(68881)}}, {{A, B, C, X(2292), X(16739)}}, {{A, B, C, X(2295), X(4754)}}, {{A, B, C, X(3720), X(59305)}}, {{A, B, C, X(6372), X(20718)}}, {{A, B, C, X(16708), X(21808)}}, {{A, B, C, X(18206), X(39258)}}, {{A, B, C, X(19804), X(21820)}}, {{A, B, C, X(33934), X(52579)}}
X(72642) = barycentric product X(i)*X(j) for these (i, j): {1, 39793}, {12, 70143}, {77, 72562}, {109, 48393}, {269, 4111}, {278, 72649}, {279, 72589}, {349, 72267}, {1014, 21699}, {1042, 3706}, {1088, 72636}, {1214, 40975}, {1400, 3739}, {1402, 20888}, {1412, 52579}, {1414, 50538}, {1427, 3691}, {1434, 21820}, {1441, 72265}, {2667, 7}, {3669, 61163}, {3720, 65}, {4017, 4436}, {4059, 42}, {4551, 6372}, {4552, 68881}, {4559, 47672}, {4754, 65011}, {6063, 72608}, {16589, 57}, {17175, 181}, {18166, 2171}, {20963, 226}, {21020, 56}, {21753, 85}, {22060, 225}, {22369, 273}, {48264, 53321}, {50497, 664}, {51641, 53363}, {53478, 604}, {57652, 70154}, {70144, 7178}, {70145, 7180}
X(72642) = barycentric quotient X(i)/X(j) for these (i, j): {42, 72047}, {56, 40439}, {181, 72048}, {604, 40408}, {1400, 32009}, {1402, 40433}, {1412, 59147}, {2667, 8}, {3720, 314}, {3739, 28660}, {4059, 310}, {4111, 341}, {4436, 7257}, {6372, 18155}, {7180, 72049}, {16589, 312}, {17175, 18021}, {18166, 52379}, {20888, 40072}, {20963, 333}, {21020, 3596}, {21699, 3701}, {21753, 9}, {21820, 2321}, {22060, 332}, {22369, 78}, {39793, 75}, {40975, 31623}, {48393, 35519}, {50497, 522}, {50538, 4086}, {51641, 50520}, {52579, 30713}, {53478, 28659}, {61163, 646}, {68881, 4560}, {70143, 261}, {70144, 645}, {70145, 62534}, {72265, 21}, {72267, 284}, {72562, 318}, {72589, 346}, {72608, 55}, {72620, 3703}, {72636, 200}, {72649, 345}
X(72642) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {16589, 72649, 72589}, {45208, 72640, 65}

X(72643) = {X(57), X(77)}-CROSS-CONCEVIAN PERSPECTOR

X(72643) lies on these lines: {27, 57}, {56, 21767}, {216, 30493}, {418, 62266}, {603, 604}, {653, 9252}, {1393, 72603}, {1400, 2182}, {1409, 22344}, {1473, 56556}, {2171, 7004}, {2197, 4020}, {2285, 63399}, {3075, 7120}, {3209, 26866}, {14597, 68764}, {16697, 44708}, {52373, 59173}, {72605, 72616}

X(72643) = X(i)-isoconjugate-of-X(j) for these {i, j}: {8, 275}, {9, 40440}, {29, 56246}, {33, 62276}, {54, 7017}, {55, 276}, {92, 44687}, {95, 281}, {219, 8795}, {312, 2190}, {318, 2167}, {331, 62265}, {345, 8884}, {607, 34384}, {645, 66300}, {1172, 56189}, {1259, 8794}, {1857, 34386}, {2175, 57790}, {3596, 8882}, {3700, 18831}, {4086, 65221}, {15412, 36797}, {15627, 43752}, {16813, 52355}, {28659, 62268}, {31623, 56254}, {40363, 62271}, {52425, 57844}, {57919, 61362}, {58756, 62534}
X(72643) = X(i)-Dao conjugate of X(j) for these {i, j}: {5, 312}, {130, 8611}, {223, 276}, {478, 40440}, {15450, 4086}, {22391, 44687}, {40588, 318}, {40593, 57790}, {52032, 28659}, {62602, 57844}
X(72643) = X(i)-Ceva conjugate of X(j) for these {i, j}: {57, 1393}, {1393, 72616}, {30493, 62266}, {65232, 51640}
X(72643) = X(i)-cross conjugate of X(j) for these {i, j}: {217, 62266}
X(72643) = pole of line {312, 2289} with respect to the Stammler hyperbola
X(72643) = pole of line {3719, 28659} with respect to the Wallace hyperbola
X(72643) = intersection, other than A, B, C, of circumconics {{A, B, C, X(27), X(418)}}, {{A, B, C, X(216), X(1333)}}, {{A, B, C, X(217), X(2179)}}, {{A, B, C, X(273), X(603)}}, {{A, B, C, X(604), X(44708)}}, {{A, B, C, X(1408), X(30493)}}
X(72643) = barycentric product X(i)*X(j) for these (i, j): {1, 30493}, {5, 603}, {34, 5562}, {51, 77}, {53, 7125}, {69, 72616}, {216, 57}, {217, 85}, {244, 44710}, {269, 44707}, {273, 418}, {279, 72591}, {307, 72605}, {343, 604}, {1214, 72603}, {1393, 3}, {1394, 8798}, {1395, 52347}, {1397, 18695}, {1400, 16697}, {1409, 17167}, {1414, 15451}, {1434, 72618}, {1625, 51664}, {1804, 2181}, {1953, 222}, {2169, 41279}, {2179, 348}, {3199, 7183}, {4625, 65485}, {7053, 7069}, {7056, 72613}, {14213, 52411}, {16947, 42698}, {17434, 65232}, {18180, 73}, {21102, 36059}, {23181, 4017}, {27372, 7210}, {35307, 7254}, {35360, 51640}, {40981, 7182}, {44088, 57787}, {44706, 56}, {44708, 6}, {44709, 65}, {44715, 51654}, {51651, 53174}, {62258, 62273}, {62263, 62277}, {62266, 7}
X(72643) = barycentric quotient X(i)/X(j) for these (i, j): {34, 8795}, {51, 318}, {56, 40440}, {57, 276}, {73, 56189}, {77, 34384}, {85, 57790}, {184, 44687}, {216, 312}, {217, 9}, {222, 62276}, {273, 57844}, {343, 28659}, {418, 78}, {603, 95}, {604, 275}, {1393, 264}, {1395, 8884}, {1397, 2190}, {1409, 56246}, {1953, 7017}, {2179, 281}, {5562, 3718}, {7125, 34386}, {7335, 62277}, {15451, 4086}, {16697, 28660}, {18180, 44130}, {18695, 40363}, {23181, 7257}, {30493, 75}, {40981, 33}, {41279, 62273}, {41280, 62268}, {42293, 8611}, {44088, 212}, {44706, 3596}, {44707, 341}, {44708, 76}, {44709, 314}, {44710, 7035}, {51640, 62428}, {51641, 66300}, {51647, 70899}, {51654, 43752}, {52411, 2167}, {61194, 65201}, {62258, 2169}, {62266, 8}, {65232, 42405}, {65485, 4041}, {72591, 346}, {72603, 31623}, {72605, 29}, {72613, 7046}, {72616, 4}, {72618, 2321}

X(72644) = {X(58), X(28)}-CROSS-CONCEVIAN PERSPECTOR

X(72644) lies on these lines: {1, 89}, {2, 37608}, {3, 42}, {4, 29662}, {6, 5204}, {8, 37603}, {10, 19284}, {11, 64159}, {20, 11269}, {21, 3720}, {28, 1430}, {31, 56}, {32, 1475}, {36, 58}, {38, 37539}, {41, 5021}, {43, 4188}, {46, 49487}, {57, 3924}, {73, 52430}, {78, 32912}, {81, 5303}, {104, 3072}, {106, 28184}, {145, 3550}, {171, 2975}, {172, 672}, {187, 20963}, {212, 22768}, {213, 1055}, {237, 23197}, {238, 5253}, {239, 17693}, {244, 1104}, {255, 22766}, {350, 71585}, {377, 24892}, {384, 70940}, {386, 7280}, {404, 899}, {405, 19726}, {443, 71994}, {484, 15955}, {519, 16397}, {580, 37561}, {595, 1149}, {601, 11249}, {602, 10269}, {605, 44607}, {606, 44606}, {609, 4253}, {612, 56777}, {614, 1448}, {649, 63462}, {748, 25524}, {750, 958}, {896, 960}, {904, 51443}, {940, 10448}, {964, 31241}, {976, 62858}, {982, 62802}, {984, 62827}, {988, 17017}, {993, 37522}, {999, 3915}, {1010, 30970}, {1043, 32919}, {1046, 4511}, {1064, 26286}, {1125, 6536}, {1150, 59307}, {1155, 4642}, {1220, 32918}, {1254, 1455}, {1279, 46190}, {1319, 9340}, {1333, 2260}, {1334, 2242}, {1395, 22479}, {1400, 5019}, {1402, 22344}, {1404, 4274}, {1408, 52434}, {1450, 34880}, {1451, 1470}, {1458, 3449}, {1471, 20978}, {1497, 22767}, {1647, 37009}, {1707, 19861}, {1724, 19769}, {1754, 63983}, {1834, 15326}, {1860, 31900}, {1909, 71589}, {1914, 17474}, {1918, 20780}, {1936, 65670}, {1957, 37253}, {2177, 5217}, {2183, 5035}, {2198, 4020}, {2251, 9341}, {2269, 2305}, {2274, 22390}, {2275, 21764}, {2280, 3053}, {2292, 3916}, {2293, 26357}, {2309, 3286}, {2347, 5042}, {2363, 19841}, {2475, 33140}, {2478, 71997}, {2646, 2650}, {3009, 37609}, {3011, 4298}, {3052, 3304}, {3086, 71988}, {3120, 4292}, {3214, 25440}, {3220, 71279}, {3240, 37307}, {3337, 30117}, {3338, 28082}, {3552, 17027}, {3555, 37589}, {3576, 54421}, {3585, 45939}, {3601, 62819}, {3616, 26840}, {3617, 56010}, {3622, 8616}, {3670, 4973}, {3691, 5277}, {3701, 62659}, {3702, 24850}, {3722, 34791}, {3724, 22345}, {3741, 11115}, {3749, 62832}, {3751, 4855}, {3771, 56781}, {3840, 11319}, {3869, 4650}, {3897, 66640}, {3938, 37552}, {3953, 49480}, {3976, 29818}, {3997, 71482}, {4038, 64415}, {4190, 33137}, {4195, 30942}, {4201, 29631}, {4202, 29867}, {4255, 61358}, {4256, 59319}, {4267, 70143}, {4279, 23579}, {4293, 5230}, {4299, 5292}, {4300, 11012}, {4305, 51281}, {4322, 37579}, {4365, 17733}, {4393, 33014}, {4400, 71596}, {4434, 4696}, {4641, 59691}, {4719, 71184}, {4766, 26686}, {4871, 56983}, {4996, 64710}, {4999, 33105}, {5030, 5280}, {5046, 71995}, {5084, 72046}, {5206, 9346}, {5255, 54391}, {5256, 21508}, {5260, 17122}, {5262, 5429}, {5264, 8666}, {5266, 67210}, {5270, 17734}, {5282, 54317}, {5311, 37554}, {5398, 32612}, {5450, 37530}, {5710, 11194}, {5717, 29688}, {5745, 21674}, {6705, 64296}, {6763, 30115}, {6857, 29661}, {6910, 29678}, {6942, 37699}, {6950, 37529}, {7270, 33119}, {7354, 21935}, {7419, 28360}, {7987, 62812}, {8669, 17165}, {8720, 17147}, {9352, 24440}, {10165, 61707}, {10404, 33127}, {10460, 37578}, {10527, 33104}, {10966, 52428}, {11375, 24725}, {11376, 64016}, {12513, 37540}, {13161, 29683}, {13588, 59308}, {13742, 72005}, {14011, 30981}, {14547, 37564}, {14829, 54331}, {14953, 40940}, {15485, 46934}, {15654, 34281}, {15803, 54418}, {16062, 29863}, {16347, 43223}, {16393, 31136}, {16454, 59306}, {16466, 21747}, {16474, 33771}, {16483, 67261}, {16569, 17572}, {16704, 59303}, {16785, 24047}, {16859, 25502}, {16865, 26102}, {16913, 17028}, {16915, 24592}, {16919, 17026}, {16944, 43922}, {16997, 71665}, {17001, 56025}, {17016, 17596}, {17018, 17548}, {17032, 33063}, {17127, 21214}, {17450, 51715}, {17526, 29677}, {17539, 29824}, {17549, 37573}, {17582, 72045}, {17676, 29635}, {17683, 31199}, {17697, 30957}, {17715, 62854}, {17751, 72207}, {17782, 64950}, {19297, 54351}, {19513, 40109}, {19765, 62821}, {19843, 71989}, {19855, 72043}, {19864, 48866}, {19879, 33086}, {20018, 71923}, {20067, 54355}, {20077, 32843}, {20470, 72265}, {20769, 56834}, {20985, 37575}, {21008, 60697}, {21748, 72559}, {21793, 63493}, {22343, 37507}, {22350, 56535}, {24443, 37582}, {24512, 71493}, {24541, 26573}, {24628, 26562}, {24943, 37176}, {25453, 56782}, {25639, 66658}, {26037, 56768}, {26117, 29845}, {26802, 68947}, {26964, 53602}, {27846, 37018}, {28011, 71737}, {28247, 37442}, {28287, 69891}, {28361, 28383}, {28370, 30653}, {29663, 56737}, {29819, 37592}, {29865, 56778}, {30038, 70907}, {30144, 49500}, {30821, 33819}, {30947, 56989}, {30948, 68726}, {31663, 64175}, {32913, 34772}, {33081, 65543}, {33142, 37256}, {33161, 54433}, {35262, 54386}, {35270, 70529}, {35915, 66692}, {36033, 72627}, {36565, 62865}, {36745, 61357}, {36746, 61356}, {37019, 67433}, {37023, 37599}, {37080, 62867}, {37462, 71998}, {37588, 62837}, {37610, 62825}, {37617, 57280}, {37634, 57288}, {37639, 67976}, {38456, 69280}, {38602, 63307}, {39766, 67983}, {40980, 72602}, {42450, 53542}, {46187, 67524}, {46548, 64166}, {51714, 71094}, {52352, 71929}, {53057, 62695}, {53165, 69234}, {54427, 64771}, {54429, 72008}, {56840, 69892}, {59491, 67969}, {59538, 69093}, {62221, 67973}, {63066, 70974}, {64002, 69173}, {69216, 69242}, {69228, 72335}, {69230, 72328}, {69262, 71446}, {69267, 71735}, {70489, 71487}

X(72644) = isogonal conjugate of X(65822)
X(72644) = perspector of circumconic {{A, B, C, X(1461), X(4556)}}
X(72644) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 65822}, {8, 17097}, {10, 40430}, {37, 60235}, {100, 56321}, {318, 40442}, {1824, 57833}, {2321, 63194}, {41013, 57668}
X(72644) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 65822}, {5745, 313}, {8054, 56321}, {17056, 3596}, {37836, 10}, {40589, 60235}, {59602, 76}, {72571, 4417}
X(72644) = X(i)-Ceva conjugate of X(j) for these {i, j}: {56, 72638}, {4565, 649}, {59005, 1459}
X(72644) = X(i)-cross conjugate of X(j) for these {i, j}: {72638, 40985}
X(72644) = pole of line {1459, 48338} with respect to the circumcircle
X(72644) = pole of line {48338, 72320} with respect to the Brocard inellipse
X(72644) = pole of line {10, 1043} with respect to the Stammler hyperbola
X(72644) = pole of line {52595, 52597} with respect to the Steiner inellipse
X(72644) = pole of line {4893, 14399} with respect to the Hofstadter ellipse
X(72644) = pole of line {313, 25280} with respect to the Wallace hyperbola
X(72644) = pole of line {8025, 17167} with respect to the dual conic of Yff parabola
X(72644) = pole of line X(18200)X(48144) wrt the circumconic with perspector X(81)
X(72644) = pole of line X(523)X(1459) wrt the inconic with perspector X(86)
X(72644) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(56), X(60)}}, {{A, B, C, X(58), X(1042)}}, {{A, B, C, X(89), X(593)}}, {{A, B, C, X(407), X(1400)}}, {{A, B, C, X(603), X(22361)}}, {{A, B, C, X(849), X(1106)}}, {{A, B, C, X(1193), X(21674)}}, {{A, B, C, X(1201), X(6737)}}, {{A, B, C, X(1457), X(40950)}}, {{A, B, C, X(1790), X(52373)}}, {{A, B, C, X(2206), X(72607)}}, {{A, B, C, X(5745), X(61412)}}, {{A, B, C, X(6186), X(72635)}}, {{A, B, C, X(8615), X(21811)}}, {{A, B, C, X(17056), X(61409)}}, {{A, B, C, X(17209), X(23755)}}, {{A, B, C, X(28184), X(52924)}}
X(72644) = barycentric product X(i)*X(j) for these (i, j): {27, 72559}, {28, 72648}, {56, 5745}, {86, 72571}, {110, 23755}, {222, 40950}, {274, 72607}, {286, 72629}, {333, 72638}, {514, 53324}, {1014, 21811}, {1333, 18698}, {1407, 6737}, {1412, 21677}, {1434, 72635}, {1790, 407}, {2646, 57}, {2650, 81}, {3664, 6}, {3669, 53388}, {4565, 62566}, {13478, 37836}, {17056, 58}, {17136, 649}, {21674, 593}, {21748, 7}, {22003, 3733}, {22361, 278}, {40985, 63}, {42708, 849}
X(72644) = barycentric quotient X(i)/X(j) for these (i, j): {6, 65822}, {58, 60235}, {604, 17097}, {649, 56321}, {1333, 40430}, {1408, 63194}, {1790, 57833}, {2646, 312}, {2650, 321}, {3664, 76}, {5745, 3596}, {6737, 59761}, {17056, 313}, {17136, 1978}, {18698, 27801}, {21674, 28654}, {21677, 30713}, {21748, 8}, {21811, 3701}, {22003, 27808}, {22361, 345}, {23755, 850}, {37836, 4417}, {40950, 7017}, {40985, 92}, {52411, 40442}, {53324, 190}, {53388, 646}, {72559, 306}, {72571, 10}, {72607, 37}, {72629, 72}, {72635, 2321}, {72638, 226}, {72648, 20336}
X(72644) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 4652, 4414}, {3, 1468, 42}, {21, 37607, 3720}, {31, 32577, 1191}, {36, 58, 1193}, {56, 1106, 61376}, {56, 1191, 32577}, {56, 1399, 1457}, {56, 4252, 31}, {56, 603, 1042}, {58, 1193, 2308}, {171, 2975, 10459}, {172, 33863, 672}, {404, 5247, 899}, {595, 5563, 1149}, {988, 62809, 17017}, {993, 37522, 59305}, {1191, 32577, 1201}, {1451, 54431, 40958}, {2163, 4257, 54310}, {4257, 54310, 902}, {4973, 63292, 3670}, {4999, 49745, 33105}, {5253, 16948, 238}, {7354, 37646, 21935}, {16474, 59325, 33771}, {17018, 17548, 37574}, {37552, 62874, 3938}, {37592, 62847, 29819}

X(72645) = {X(58), X(101)}-CROSS-CONCEVIAN PERSPECTOR

X(72645) lies on these lines: {31, 5168}, {58, 763}, {171, 18047}, {172, 66973}, {187, 70344}, {1015, 72610}, {1055, 70658}, {1412, 66931}, {1468, 8301}, {1977, 38986}, {2236, 7267}, {2275, 7121}, {3122, 21003}, {3248, 8660}, {4128, 5027}, {4164, 53541}, {7122, 69895}, {7200, 7207}, {21755, 22373}, {24294, 37522}, {38344, 72258}, {54333, 72265}

X(72645) = perspector of circumconic {{A, B, C, X(18200), X(20981)}}
X(72645) = X(i)-isoconjugate-of-X(j) for these {i, j}: {100, 56241}, {190, 27805}, {256, 7035}, {257, 1016}, {646, 37137}, {664, 65192}, {668, 3903}, {765, 7018}, {799, 56257}, {893, 31625}, {1018, 7260}, {1252, 44187}, {3699, 65289}, {3952, 4594}, {4033, 4603}, {4037, 39292}, {4076, 7249}, {4451, 4998}, {4505, 30670}, {4601, 52651}, {5383, 63486}, {7019, 15742}, {18829, 69899}, {40738, 65040}
X(72645) = X(i)-Dao conjugate of X(j) for these {i, j}: {513, 7018}, {661, 44187}, {798, 63486}, {3709, 30713}, {4369, 313}, {8054, 56241}, {16592, 6386}, {38996, 56257}, {39025, 65192}, {40597, 31625}, {55053, 27805}
X(72645) = X(i)-Ceva conjugate of X(j) for these {i, j}: {171, 20981}, {1412, 1919}, {7122, 56242}
X(72645) = intersection, other than A, B, C, of circumconics {{A, B, C, X(172), X(763)}}, {{A, B, C, X(667), X(4164)}}, {{A, B, C, X(1015), X(7200)}}, {{A, B, C, X(3122), X(21725)}}, {{A, B, C, X(4128), X(21755)}}, {{A, B, C, X(4459), X(42067)}}, {{A, B, C, X(18047), X(20981)}}, {{A, B, C, X(56242), X(69895)}}
X(72645) = barycentric product X(i)*X(j) for these (i, j): {31, 7200}, {172, 244}, {514, 56242}, {1015, 171}, {1019, 7234}, {1086, 7122}, {1333, 53559}, {1357, 2329}, {1412, 40608}, {1432, 61053}, {1909, 1977}, {1919, 4374}, {1920, 72610}, {2330, 53538}, {2533, 57129}, {3023, 66996}, {3120, 69893}, {3122, 69891}, {3125, 69892}, {3248, 894}, {3249, 69896}, {3271, 7175}, {3287, 43924}, {3572, 4164}, {3733, 57234}, {3907, 57181}, {3937, 7119}, {4107, 875}, {4128, 81}, {4367, 649}, {4369, 667}, {4459, 604}, {4817, 58862}, {6545, 69895}, {7207, 893}, {16592, 58}, {16726, 20964}, {16737, 669}, {17103, 3121}, {17212, 798}, {17787, 61048}, {18047, 8027}, {18111, 50521}, {18200, 512}, {20981, 513}, {21143, 4579}, {21725, 593}, {21755, 86}, {21823, 757}, {22093, 6591}, {22373, 27}, {22383, 54229}, {27846, 66973}, {42067, 71075}, {43266, 71829}, {43925, 70382}, {43929, 53553}, {53541, 6}, {57200, 70385}, {69894, 764}
X(72645) = barycentric quotient X(i)/X(j) for these (i, j): {171, 31625}, {172, 7035}, {244, 44187}, {649, 56241}, {667, 27805}, {669, 56257}, {1015, 7018}, {1919, 3903}, {1977, 256}, {3063, 65192}, {3248, 257}, {3733, 7260}, {4128, 321}, {4164, 27853}, {4367, 1978}, {4369, 6386}, {4459, 28659}, {7122, 1016}, {7200, 561}, {7207, 1920}, {7234, 4033}, {16592, 313}, {16737, 4609}, {17212, 4602}, {18200, 670}, {20981, 668}, {21725, 28654}, {21755, 10}, {21823, 1089}, {21835, 63492}, {22373, 306}, {38986, 63486}, {40608, 30713}, {45882, 4505}, {53541, 76}, {53559, 27801}, {56242, 190}, {57129, 4594}, {57181, 65289}, {57234, 27808}, {58862, 3807}, {61048, 1432}, {61053, 17787}, {69892, 4601}, {69893, 4600}, {69894, 57950}, {69895, 6632}, {71829, 65040}, {72610, 893}

X(72646) = {X(59), X(100)}-CROSS-CONCEVIAN PERSPECTOR

X(72646) lies on circumconic {{A, B, C, X(59), X(1364)}} and on these lines: {1, 11430}, {3, 1364}, {55, 57118}, {72, 214}, {73, 13367}, {100, 72587}, {184, 39796}, {212, 53847}, {215, 7066}, {909, 20999}, {1155, 18593}, {1362, 6056}, {1495, 2635}, {1745, 10282}, {1830, 67508}, {3042, 4242}, {3271, 14667}, {5204, 7078}, {6174, 7358}, {7114, 53850}, {14528, 34046}, {22053, 22352}, {22346, 22379}, {22350, 51394}, {30493, 47371}, {39004, 67453}, {53291, 66036}

X(72646) = isogonal conjugate of X(65815)
X(72646) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 65815}, {36949, 34387}
X(72646) = pole of line X(101)X(109) wrt the inconic with perspector X(3)
X(72646) = barycentric product X(i)*X(j) for these (i, j): {3, 36949}, {18689, 48}, {44717, 55359}
X(72646) = barycentric quotient X(i)/X(j) for these (i, j): {6, 65815}, {18689, 1969}, {36949, 264}
X(72646) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 36059, 1364}

X(72647) = {X(59), X(101)}-CROSS-CONCEVIAN PERSPECTOR

X(72647) lies on circumconic {{A, B, C, X(59), X(3022)}} and on these lines: {1, 38599}, {3, 1362}, {11, 6710}, {12, 64502}, {21, 3041}, {35, 2808}, {41, 39789}, {55, 101}, {56, 38690}, {103, 5217}, {116, 5432}, {118, 6284}, {150, 5218}, {498, 10739}, {499, 38774}, {544, 4995}, {926, 8648}, {950, 28346}, {1055, 62738}, {1110, 13006}, {1155, 59813}, {1253, 72560}, {1282, 3601}, {1317, 53746}, {1479, 38764}, {2293, 38365}, {2330, 2810}, {2646, 2809}, {2786, 15452}, {2801, 15837}, {3023, 53730}, {3024, 53747}, {3027, 53721}, {3028, 53712}, {3057, 11712}, {3085, 63416}, {3328, 67446}, {3583, 61579}, {3748, 14760}, {4302, 10741}, {5010, 38601}, {5185, 52427}, {5281, 20096}, {5326, 58418}, {5433, 38772}, {5532, 65808}, {6018, 59783}, {6712, 52793}, {7173, 58420}, {7354, 63403}, {8649, 72539}, {10695, 34471}, {10725, 10895}, {11028, 37080}, {11714, 37600}, {14100, 28345}, {15171, 61563}, {15338, 64500}, {15730, 63211}, {17044, 55370}, {18413, 24929}, {18839, 58592}, {22055, 54325}, {22368, 40638}, {30502, 52001}, {34931, 38574}, {35445, 39156}, {38572, 64951}, {38666, 64950}, {38692, 63756}, {51406, 71214}

X(72647) = isogonal conjugate of X(65821)
X(72647) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 65821}, {17044, 34387}
X(72647) = pole of line {22108, 55334} with respect to the circumcircle
X(72647) = barycentric product X(i)*X(j) for these (i, j): {6, 71283}, {101, 66994}, {1252, 55370}, {17044, 55}, {21914, 284}, {23730, 3939}
X(72647) = barycentric quotient X(i)/X(j) for these (i, j): {6, 65821}, {17044, 6063}, {21914, 349}, {23730, 52621}, {55370, 23989}, {66994, 3261}, {71283, 76}
X(72647) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {55, 101, 3022}

X(72648) = {X(63), X(2)}-CROSS-CONCEVIAN PERSPECTOR

X(72648) lies on these lines: {2, 8680}, {3, 18673}, {38, 2352}, {48, 63}, {56, 2292}, {57, 2294}, {71, 1214}, {165, 44661}, {191, 2360}, {201, 22341}, {333, 24435}, {354, 1962}, {440, 4466}, {514, 62189}, {520, 23614}, {523, 66994}, {631, 67847}, {740, 24477}, {758, 3576}, {851, 40967}, {896, 2194}, {1435, 68779}, {1708, 2267}, {1732, 2999}, {1762, 1817}, {1953, 24310}, {2260, 3666}, {2646, 2650}, {2658, 22072}, {3286, 11031}, {3333, 3743}, {3523, 67848}, {3677, 58390}, {3719, 71081}, {3724, 37578}, {3752, 40977}, {3942, 18607}, {3949, 3998}, {4414, 37538}, {5435, 25255}, {5437, 25081}, {5745, 18698}, {7004, 22060}, {8273, 64753}, {9391, 14414}, {9940, 45038}, {10180, 38053}, {10319, 18674}, {10934, 54326}, {11203, 17768}, {11221, 64112}, {11347, 54324}, {14417, 14418}, {16577, 21801}, {16579, 20367}, {16720, 44416}, {17056, 21811}, {17438, 62798}, {17611, 69723}, {18163, 69084}, {18210, 22080}, {18591, 42702}, {18641, 21671}, {20896, 51583}, {22076, 39791}, {22415, 35290}, {24316, 37419}, {24682, 50697}, {25361, 41804}, {27798, 53041}, {27804, 64151}, {30478, 49598}, {37597, 40978}, {40937, 72602}, {42669, 55869}, {54385, 62818}, {54408, 68796}, {66444, 68895}, {68935, 70256}, {72649, 72650}

X(72648) = midpoint of X(i) and X(j) for these {i,j}: {2, 53043}
X(72648) = reflection of X(i) in X(j) for these {i,j}: {2, 53042}, {1962, 53035}, {53036, 2}, {53041, 27798}
X(72648) = X(i)-isoconjugate-of-X(j) for these {i, j}: {19, 40430}, {25, 60235}, {33, 63194}, {112, 56321}, {393, 57668}, {1172, 17097}, {1474, 65822}, {2207, 57833}, {8748, 40442}
X(72648) = X(i)-Dao conjugate of X(j) for these {i, j}: {6, 40430}, {5745, 92}, {6505, 60235}, {17056, 31623}, {21044, 44426}, {34591, 56321}, {37836, 19}, {51574, 65822}, {59602, 286}
X(72648) = X(i)-Ceva conjugate of X(j) for these {i, j}: {5745, 17056}, {6516, 656}, {18698, 2650}
X(72648) = X(i)-cross conjugate of X(j) for these {i, j}: {72629, 2650}
X(72648) = pole of line {19, 2326} with respect to the Stammler hyperbola
X(72648) = pole of line {1577, 25666} with respect to the dual conic of polar circle
X(72648) = intersection, other than A, B, C, of circumconics {{A, B, C, X(48), X(72607)}}, {{A, B, C, X(63), X(2650)}}, {{A, B, C, X(71), X(21811)}}, {{A, B, C, X(201), X(42708)}}, {{A, B, C, X(326), X(18698)}}, {{A, B, C, X(1214), X(1812)}}, {{A, B, C, X(1439), X(1444)}}, {{A, B, C, X(1790), X(52373)}}, {{A, B, C, X(5745), X(6514)}}, {{A, B, C, X(35145), X(53036)}}
X(72648) = barycentric product X(i)*X(j) for these (i, j): {75, 72559}, {76, 72629}, {304, 72571}, {305, 72607}, {326, 407}, {1214, 5745}, {1231, 21748}, {1332, 23755}, {1439, 6737}, {1441, 22361}, {1444, 21674}, {1790, 42708}, {2646, 307}, {2650, 69}, {3664, 72}, {3718, 72638}, {7182, 72635}, {14208, 53324}, {17056, 63}, {17094, 53388}, {17136, 656}, {18698, 3}, {20336, 72644}, {21677, 77}, {21811, 348}, {22003, 905}, {40950, 52385}, {40985, 52396}, {62566, 6516}
X(72648) = barycentric quotient X(i)/X(j) for these (i, j): {3, 40430}, {63, 60235}, {72, 65822}, {73, 17097}, {222, 63194}, {255, 57668}, {326, 57833}, {407, 158}, {656, 56321}, {2646, 29}, {2650, 4}, {3664, 286}, {5745, 31623}, {17056, 92}, {17136, 811}, {18698, 264}, {21674, 41013}, {21677, 318}, {21748, 1172}, {21811, 281}, {22003, 6335}, {22341, 40442}, {22361, 21}, {23755, 17924}, {40950, 1896}, {40985, 8747}, {53324, 162}, {53388, 36797}, {62566, 44426}, {72559, 1}, {72571, 19}, {72607, 25}, {72629, 6}, {72635, 33}, {72638, 34}, {72644, 28}
X(72648) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 53043, 8680}, {2, 8680, 53036}, {3, 56839, 18673}, {57, 25080, 2294}, {1214, 40152, 37755}, {1762, 1817, 2173}, {8680, 53042, 2}, {18607, 22097, 3942}, {20718, 53035, 1962}, {24310, 62857, 1953}

X(72649) = {X(63), X(3)}-CROSS-CONCEVIAN PERSPECTOR

X(72649) lies on these lines: {3, 72628}, {9, 49598}, {39, 3725}, {63, 304}, {71, 72}, {191, 1755}, {219, 72629}, {220, 42669}, {573, 31803}, {672, 2292}, {690, 46388}, {740, 21384}, {758, 3730}, {1212, 20718}, {1334, 2650}, {1400, 70518}, {1475, 1962}, {1868, 2333}, {2179, 12514}, {2245, 21879}, {2260, 6051}, {2294, 16601}, {2388, 39789}, {2658, 52370}, {2667, 20963}, {3230, 72533}, {3647, 14964}, {3683, 40955}, {3691, 21020}, {3708, 56839}, {3728, 12723}, {3743, 4253}, {3747, 16502}, {3916, 22065}, {3954, 39258}, {4647, 16552}, {12567, 41239}, {14963, 56894}, {16589, 39793}, {17754, 58386}, {21808, 40586}, {22099, 22126}, {22276, 23619}, {23555, 69606}, {23621, 52139}, {23640, 40974}, {42316, 64753}, {69074, 71211}, {69231, 72607}, {72648, 72650}

X(72649) = perspector of circumconic {{A, B, C, X(55202), X(69827)}}
X(72649) = X(i)-isoconjugate-of-X(j) for these {i, j}: {4, 40408}, {19, 40439}, {27, 40433}, {28, 32009}, {162, 72049}, {286, 57397}, {648, 50520}, {1396, 72047}, {1824, 59147}, {8708, 17925}
X(72649) = X(i)-Dao conjugate of X(j) for these {i, j}: {6, 40439}, {125, 72049}, {3121, 7649}, {3739, 92}, {16589, 44129}, {36033, 40408}, {40591, 32009}, {55066, 50520}, {62646, 286}
X(72649) = X(i)-Ceva conjugate of X(j) for these {i, j}: {3691, 16589}, {4561, 810}, {21020, 2667}, {22060, 22369}
X(72649) = pole of line {1973, 31904} with respect to the Stammler hyperbola
X(72649) = pole of line {661, 7199} with respect to the dual conic of polar circle
X(72649) = pole of line X(810)X(15419) wrt the circumconic with perspector X(69)
X(72649) = intersection, other than A, B, C, of circumconics {{A, B, C, X(63), X(72608)}}, {{A, B, C, X(71), X(17206)}}, {{A, B, C, X(72), X(20963)}}, {{A, B, C, X(304), X(2667)}}, {{A, B, C, X(3694), X(16589)}}, {{A, B, C, X(21020), X(52387)}}
X(72649) = barycentric product X(i)*X(j) for these (i, j): {10, 22060}, {42, 70154}, {48, 53478}, {305, 72608}, {326, 72562}, {345, 72642}, {348, 72589}, {525, 70144}, {647, 70145}, {1214, 3691}, {1331, 48393}, {1444, 21699}, {1790, 52579}, {1799, 72620}, {2200, 72268}, {2318, 4059}, {2667, 69}, {3695, 70143}, {3706, 73}, {3720, 72}, {3739, 71}, {3998, 40975}, {4111, 77}, {4436, 656}, {4561, 50497}, {4574, 47672}, {4592, 50538}, {6372, 69827}, {7182, 72636}, {16589, 63}, {17175, 3690}, {17206, 21820}, {18166, 3949}, {20336, 72265}, {20888, 228}, {20963, 306}, {21020, 3}, {21753, 304}, {22369, 75}, {23067, 48264}, {39793, 78}, {40071, 72267}, {52609, 68881}, {53363, 810}, {61163, 905}
X(72649) = barycentric quotient X(i)/X(j) for these (i, j): {3, 40439}, {48, 40408}, {71, 32009}, {228, 40433}, {647, 72049}, {810, 50520}, {1790, 59147}, {2200, 57397}, {2318, 72047}, {2667, 4}, {3690, 72048}, {3691, 31623}, {3706, 44130}, {3720, 286}, {3739, 44129}, {4111, 318}, {4436, 811}, {16589, 92}, {20888, 57796}, {20963, 27}, {21020, 264}, {21699, 41013}, {21753, 19}, {21820, 1826}, {22060, 86}, {22369, 1}, {39793, 273}, {48393, 46107}, {50497, 7649}, {50538, 24006}, {53363, 57968}, {53478, 1969}, {61163, 6335}, {68881, 17925}, {70144, 648}, {70145, 6331}, {70154, 310}, {72265, 28}, {72267, 1474}, {72562, 158}, {72589, 281}, {72608, 25}, {72620, 427}, {72636, 33}, {72642, 278}
X(72649) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {672, 2292, 40978}, {56839, 71305, 3708}, {72589, 72642, 16589}, {72608, 72620, 2667}

X(72650) = {X(63), X(78)}-CROSS-CONCEVIAN PERSPECTOR

X(72650) lies on these lines: {1, 955}, {3, 48}, {6, 1496}, {9, 1125}, {19, 56887}, {40, 2272}, {41, 26357}, {56, 220}, {63, 348}, {72, 34591}, {73, 20752}, {101, 11012}, {169, 12704}, {210, 46830}, {212, 7124}, {255, 22131}, {354, 1212}, {579, 3361}, {1066, 3002}, {1334, 2646}, {1400, 28275}, {1855, 4847}, {2082, 54408}, {2170, 64046}, {2238, 9367}, {2269, 4258}, {2280, 32561}, {2293, 72609}, {2318, 23207}, {2323, 4251}, {2975, 58325}, {3197, 22778}, {3576, 3730}, {3690, 23204}, {3691, 46835}, {3916, 51376}, {3990, 22063}, {4020, 23620}, {4262, 62246}, {4456, 63389}, {5011, 24468}, {5030, 52405}, {5045, 40937}, {5223, 56857}, {5781, 64077}, {6056, 40945}, {6511, 55466}, {6554, 21384}, {6602, 37578}, {6763, 8558}, {6864, 26063}, {7079, 7498}, {7117, 22072}, {7368, 8273}, {8551, 68743}, {10186, 12514}, {11362, 61237}, {12527, 60431}, {15656, 37434}, {16193, 16601}, {16283, 69231}, {16552, 40869}, {16588, 20963}, {17220, 27171}, {17474, 34522}, {17560, 72603}, {20460, 40969}, {22061, 22415}, {22144, 52408}, {22341, 35072}, {22361, 52425}, {24310, 24604}, {24953, 59207}, {25932, 26872}, {27509, 28410}, {28278, 34253}, {28700, 28731}, {30502, 64739}, {34497, 42050}, {35341, 51972}, {37659, 38859}, {40942, 69547}, {40955, 52015}, {41006, 45751}, {43065, 50196}, {52562, 62738}, {60419, 69287}, {72648, 72649}

X(72650) = perspector of circumconic {{A, B, C, X(1331), X(35338)}}
X(72650) = X(i)-isoconjugate-of-X(j) for these {i, j}: {4, 1170}, {19, 21453}, {25, 31618}, {28, 60229}, {33, 10509}, {34, 32008}, {108, 56322}, {158, 1803}, {273, 1174}, {278, 2346}, {281, 61373}, {393, 40443}, {607, 42311}, {608, 57815}, {653, 58322}, {1119, 6605}, {1396, 56157}, {1398, 63239}, {1435, 56118}, {1783, 65552}, {1847, 10482}, {6591, 6606}, {7649, 65222}, {17924, 53243}, {32714, 62725}, {36118, 62747}, {55208, 55281}, {65103, 65545}
X(72650) = X(i)-Dao conjugate of X(j) for these {i, j}: {6, 21453}, {142, 92}, {1147, 1803}, {1212, 331}, {3119, 44426}, {6505, 31618}, {11517, 32008}, {36033, 1170}, {38983, 56322}, {39006, 65552}, {40591, 60229}, {40606, 273}, {62647, 57815}, {65525, 3064}
X(72650) = X(i)-Ceva conjugate of X(j) for these {i, j}: {4847, 2293}, {6516, 57108}
X(72650) = X(i)-cross conjugate of X(j) for these {i, j}: {22079, 22053}
X(72650) = pole of line {27, 1803} with respect to the Stammler hyperbola
X(72650) = pole of line {21104, 48342} with respect to the Hofstadter ellipse
X(72650) = pole of line {2322, 44129} with respect to the Wallace hyperbola
X(72650) = pole of line {3239, 3261} with respect to the dual conic of polar circle
X(72650) = intersection, other than A, B, C, of circumconics {{A, B, C, X(3), X(354)}}, {{A, B, C, X(48), X(1475)}}, {{A, B, C, X(63), X(1802)}}, {{A, B, C, X(71), X(1855)}}, {{A, B, C, X(78), X(59217)}}, {{A, B, C, X(142), X(70670)}}, {{A, B, C, X(219), X(348)}}, {{A, B, C, X(283), X(1818)}}, {{A, B, C, X(916), X(6362)}}, {{A, B, C, X(1794), X(10481)}}, {{A, B, C, X(2200), X(52373)}}, {{A, B, C, X(2252), X(21127)}}, {{A, B, C, X(2289), X(7183)}}, {{A, B, C, X(3059), X(55111)}}, {{A, B, C, X(3682), X(4847)}}, {{A, B, C, X(40606), X(40945)}}, {{A, B, C, X(57672), X(63434)}}
X(72650) = barycentric product X(i)*X(j) for these (i, j): {3, 4847}, {142, 219}, {222, 51972}, {283, 3925}, {305, 72609}, {332, 52020}, {348, 8012}, {354, 78}, {1212, 63}, {1229, 48}, {1233, 52425}, {1264, 40983}, {1265, 61376}, {1331, 6362}, {1332, 21127}, {1418, 3692}, {1444, 21039}, {1459, 65198}, {1475, 345}, {1795, 51416}, {1802, 59181}, {1812, 21808}, {1827, 326}, {1855, 394}, {2293, 69}, {2327, 52023}, {2488, 4561}, {3059, 77}, {3718, 72637}, {3926, 72596}, {3998, 72601}, {4571, 48151}, {6516, 6608}, {7100, 71709}, {10481, 1260}, {10581, 65164}, {13156, 55111}, {16708, 52370}, {16713, 71}, {17169, 2318}, {17194, 72}, {17206, 21795}, {18164, 3694}, {20229, 304}, {20880, 212}, {21104, 4587}, {22053, 8}, {22079, 75}, {35312, 57108}, {35326, 6332}, {35338, 521}, {35341, 905}, {45791, 7177}, {47487, 6067}, {57055, 63203}, {60047, 61035}, {65195, 652}
X(72650) = barycentric quotient X(i)/X(j) for these (i, j): {3, 21453}, {48, 1170}, {63, 31618}, {71, 60229}, {77, 42311}, {78, 57815}, {142, 331}, {212, 2346}, {219, 32008}, {222, 10509}, {255, 40443}, {354, 273}, {577, 1803}, {603, 61373}, {652, 56322}, {906, 65222}, {1212, 92}, {1229, 1969}, {1260, 56118}, {1331, 6606}, {1418, 1847}, {1459, 65552}, {1475, 278}, {1802, 6605}, {1827, 158}, {1855, 2052}, {1946, 58322}, {2293, 4}, {2318, 56157}, {2488, 7649}, {3059, 318}, {3692, 63239}, {3694, 56127}, {3925, 57809}, {4847, 264}, {6056, 47487}, {6362, 46107}, {6608, 44426}, {8012, 281}, {8551, 7079}, {10581, 3064}, {16713, 44129}, {17194, 286}, {20229, 19}, {20880, 57787}, {21039, 41013}, {21127, 17924}, {21795, 1826}, {21808, 40149}, {22053, 7}, {22079, 1}, {32656, 53243}, {35310, 65207}, {35326, 653}, {35338, 18026}, {35341, 6335}, {40983, 1118}, {45791, 7101}, {47487, 59475}, {51972, 7017}, {52020, 225}, {52370, 56255}, {52425, 1174}, {57108, 62725}, {61376, 1119}, {63203, 13149}, {65102, 62747}, {65195, 46404}, {68743, 5236}, {71190, 64438}, {72596, 393}, {72609, 25}, {72637, 34}
X(72650) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 219, 1802}, {3, 22153, 48}, {71, 22088, 3}, {219, 70670, 71}, {1475, 8012, 1212}, {3333, 4253, 2260}, {3691, 52888, 46835}, {7117, 52370, 22072}, {20752, 22070, 73}

X(72651) = {X(64), X(6)}-CROSS-CONCEVIAN PERSPECTOR

X(72651) lies on these lines: {2, 15594}, {3, 9924}, {6, 33582}, {25, 800}, {32, 1843}, {39, 19459}, {51, 13342}, {64, 2130}, {66, 15526}, {69, 30270}, {98, 3186}, {115, 41762}, {157, 577}, {159, 216}, {160, 10979}, {161, 26880}, {184, 23635}, {187, 44200}, {206, 5158}, {253, 1297}, {317, 2794}, {441, 15583}, {459, 18288}, {523, 2980}, {571, 7669}, {574, 20775}, {1204, 20402}, {1503, 41005}, {1853, 20208}, {1974, 20975}, {3003, 20987}, {3148, 5065}, {3164, 70896}, {3284, 34777}, {3357, 31382}, {3964, 18860}, {5007, 20993}, {5999, 14615}, {6041, 8651}, {6389, 36851}, {6641, 34750}, {6751, 14917}, {6759, 30258}, {7716, 8573}, {7772, 72569}, {8541, 14575}, {8549, 68744}, {8721, 40680}, {8922, 35389}, {9306, 50666}, {9737, 20794}, {9971, 13345}, {11397, 51509}, {12272, 37183}, {14880, 59566}, {14931, 32747}, {14981, 40697}, {15811, 52566}, {15851, 19132}, {17813, 38292}, {18382, 53568}, {18400, 18437}, {19118, 40135}, {22152, 35002}, {23333, 61682}, {30549, 68346}, {31860, 33580}, {32000, 53015}, {32366, 33871}, {34787, 63433}, {36212, 63183}, {40934, 40982}, {41277, 45211}, {41757, 60524}, {41761, 71185}, {50645, 52016}, {58849, 59561}

X(72651) = reflection of X(i) in X(j) for these {i,j}: {577, 157}, {41761, 71185}
X(72651) = isogonal conjugate of X(34412)
X(72651) = X(i)-isoconjugate-of-X(j) for these {i, j}: {1, 34412}, {75, 56306}, {304, 56363}
X(72651) = X(i)-Dao conjugate of X(j) for these {i, j}: {3, 34412}, {206, 56306}, {20208, 14615}, {46829, 305}, {53851, 3926}, {53852, 315}, {70332, 34407}
X(72651) = pole of line {17434, 52588} with respect to the Brocard inellipse
X(72651) = pole of line {14642, 60495} with respect to the Jerabek hyperbola
X(72651) = pole of line {10565, 23608} with respect to the Stammler hyperbola
X(72651) = intersection, other than A, B, C, of circumconics {{A, B, C, X(25), X(20232)}}, {{A, B, C, X(66), X(51437)}}, {{A, B, C, X(253), X(42671)}}, {{A, B, C, X(1843), X(53851)}}, {{A, B, C, X(1853), X(61349)}}, {{A, B, C, X(2353), X(20208)}}, {{A, B, C, X(2980), X(35571)}}, {{A, B, C, X(3456), X(33584)}}, {{A, B, C, X(33581), X(53852)}}, {{A, B, C, X(46829), X(55415)}}
X(72651) = barycentric product X(i)*X(j) for these (i, j): {393, 53852}, {1853, 6}, {20208, 25}, {20232, 253}, {20322, 2155}, {41489, 71253}, {46829, 64}, {53851, 66}
X(72651) = barycentric quotient X(i)/X(j) for these (i, j): {6, 34412}, {32, 56306}, {1853, 76}, {1974, 56363}, {20208, 305}, {20232, 20}, {41489, 34407}, {46829, 14615}, {53851, 315}, {53852, 3926}
X(72651) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6, 33582, 42671}, {25, 800, 33578}, {1843, 40947, 32}, {1974, 20975, 46432}, {3148, 6467, 5065}, {42671, 71308, 6}

X(72652) = {X(65), X(56)}-CROSS-CONCEVIAN PERSPECTOR

X(72652) lies on these lines: {65, 321}, {181, 4642}, {758, 31964}, {959, 3210}, {1469, 3869}, {2292, 22076}, {2650, 39780}, {10457, 10475}, {23154, 50626}, {27697, 70616}

X(72652) = X(i)-Dao conjugate of X(j) for these {i, j}: {44417, 314}
X(72652) = intersection, other than A, B, C, of circumconics {{A, B, C, X(2292), X(10457)}}, {{A, B, C, X(10475), X(52567)}}
X(72652) = barycentric product X(i)*X(j) for these (i, j): {57, 72592}, {65, 72550}, {226, 72532}, {1214, 72564}, {1427, 72584}, {10475, 1211}
X(72652) = barycentric quotient X(i)/X(j) for these (i, j): {10475, 14534}, {72532, 333}, {72550, 314}, {72564, 31623}, {72592, 312}

X(72653) = {X(66), X(2)}-CROSS-CONCEVIAN PERSPECTOR

X(72653) lies on these lines: {2, 3852}, {32, 39466}, {682, 3051}, {1501, 65751}, {2387, 3917}, {2882, 3060}, {3124, 62546}, {4173, 8041}, {16776, 66506}, {40366, 42826}

X(72653) = X(i)-Dao conjugate of X(j) for these {i, j}: {6697, 315}
X(72653) = pole of line X(647)X(826) wrt the inconic with perspector X(32)
X(72653) = intersection, other than A, B, C, of circumconics {{A, B, C, X(66), X(40372)}}, {{A, B, C, X(6697), X(40146)}}
X(72653) = barycentric product X(i)*X(j) for these (i, j): {32, 6697}, {17473, 31}
X(72653) = barycentric quotient X(i)/X(j) for these (i, j): {6697, 1502}, {17473, 561}
X(72653) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {32, 40146, 40372}

X(72654) = {X(67), X(2)}-CROSS-CONCEVIAN PERSPECTOR

X(72654) lies on circumconic {{A, B, C, X(6698), X(59175)}} and on these lines: {51, 1648}, {67, 55839}, {184, 8588}, {187, 59175}, {524, 2979}, {1641, 3819}, {2393, 44915}, {3060, 68456}, {3917, 8030}, {7998, 38239}, {11053, 44299}

X(72654) = reflection of X(i) in X(j) for these {i,j}: {3060, 68456}, {8030, 3917}
X(72654) = X(i)-Dao conjugate of X(j) for these {i, j}: {6698, 316}
X(72654) = pole of line {8589, 14357} with respect to the Jerabek hyperbola
X(72654) = barycentric product X(i)*X(j) for these (i, j): {187, 6698}
X(72654) = barycentric quotient X(i)/X(j) for these (i, j): {6698, 18023}

X(72655) = X(7607)X(61972)∩X(7608)X(62032)

Antreas Hatzipolakis and Ercole Suppa, euclid 9689.

X(72655) lies on the Kiepert circumhyperbola and these lines: {7607, 61972}, {7608, 62032}, {10155, 15640}, {10185, 69402}, {14494, 62018}, {15683, 53098}, {17578, 60332}, {50687, 60330}, {50689, 60334}, {50693, 60144}, {52519, 62002}, {53100, 61992}, {53103, 61966}, {54637, 63061}, {60123, 61954}, {60142, 62005}, {60322, 61989}, {60337, 61985}

X(72655) = isogonal conjugate of X(72656)
X(72655) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(2),X(4)}, {A,B,C,X(52281),X(62032)}, {A,B,C,X(52282),X(61972)}, {A,B,C,X(62018),X(62950)}, {A,B,C,X(63061),X(63064)}}

X(72656) = X(3)X(6)∩X(3054)X(61806)

Antreas Hatzipolakis and Ercole Suppa, euclid 9689.

X(72656) lies on these lines: {3, 6}, {3054, 61806}, {3055, 62120}, {3815, 62072}, {3832, 11742}, {11812, 43619}, {15702, 44541}, {18424, 61847}, {18584, 62155}, {31415, 62106}, {31489, 62094}, {37637, 61796}, {41196, 41197}, {41983, 44526}, {43457, 62140}, {43618, 62089}, {44519, 61816}, {53418, 62096}, {53419, 61817}, {62081, 62993}

X(72656) = isogonal conjugate of X(72655)
X(72656) = pole of the line {140, 63027} with respect to Terzić 1st hyperbola
X(72656) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 15602, 5210}, {6433, 6434, 55711}, {8588, 15815, 6}, {8589, 15655, 53095}, {11480, 11481, 55701}

X(72657) = X(43537)X(62024)∩X(53859)X(62136)

Antreas Hatzipolakis and Ercole Suppa, euclid 9689.

X(72657) lies on the Kiepert circumhyperbola and these lines: {43537, 62024}, {53859, 62136}

X(72657) = isogonal conjugate of X(72658)
X(72657) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(2),X(4)}, {A,B,C,X(62024),X(62955)}}

X(72658) = X(3)X(6)∩X(3054)X(49133)

Antreas Hatzipolakis and Ercole Suppa, euclid 9689.

X(72658) lies on these lines: {3, 6}, {3054, 49133}, {5355, 58189}, {15484, 61796}, {18584, 61862}, {41196, 41197}, {43291, 62096}, {43448, 62089}, {43618, 61878}, {43620, 62140}, {53418, 61847}, {62106, 62992}

X(72658) = isogonal conjugate of X(72657)

X(72659) = (name pending)

Antreas Hatzipolakis and Ercole Suppa, euclid 9689.

X(72659) lies on the Kiepert circumhyperbola and these lines: { }

X(72659) = isogonal conjugate of X(72660)
X(72659) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(2),X(4)}, {A,B,C,X(11588),X(43713)}}

X(72660) = X(3)X(6)∩X(3543)X(11614)

Antreas Hatzipolakis and Ercole Suppa, euclid 9689.

X(72660) lies on these lines: {3, 6}, {3543, 11614}, {7603, 61796}, {18424, 62096}, {41196, 41197}, {46332, 53419}

X(72660) = isogonal conjugate of X(72659)
X(72660) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {187, 15602, 5041}, {5007, 15603, 187}

X(72661) = X(3)X(59164)∩X(54)X(14978)

Antreas Hatzipolakis and Ercole Suppa, euclid 9721.

X(72661) lies on the Jerabek circumhyperbola and these lines: {3, 59164}, {54, 14978}, {264, 59143}, {1173, 60828}

X(72661) = isogonal conjugate of X(72662)
X(72661) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(3),X(4)}, {A,B,C,X(5),X(46138)}, {A,B,C,X(49),X(1298)}, {A,B,C,X(140),X(57765)}, {A,B,C,X(264),X(14978)}, {A,B,C,X(1263),X(6662)}, {A,B,C,X(3481),X(34302)}, {A,B,C,X(15318),X(32535)}, {A,B,C,X(22268),X(34385)}, {A,B,C,X(44176),X(70013)}}

X(72662) = X(2)X(3)∩X(51)X(52540)

Antreas Hatzipolakis and Ercole Suppa, euclid 9721.

X(72662) lies on these lines: {2, 3}, {51, 52540}, {93, 32428}, {156, 23038}, {184, 20574}, {1157, 1614}, {1199, 23195}, {5000, 5001}, {6152, 46025}, {6242, 42441}, {6288, 34292}, {6344, 51888}, {8154, 32379}, {10263, 15345}, {11576, 58468}, {12325, 50947}, {13558, 34418}, {15033, 25042}, {18016, 68084}, {19210, 52417}, {26881, 45083}, {32340, 63816}, {41598, 71245}, {43808, 68741}, {51255, 61715}, {52681, 61139}, {59371, 64032}

X(72662) = isogonal conjugate of X(72661)
X(72662) = pole of the line {3, 59164} with respect to Stammler hyperbola
X(72662) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(5),X(20574)}, {A,B,C,X(140),X(46089)}, {A,B,C,X(184),X(3078)}}
X(72662) = {X(13564),X(15770)}-harmonic conjugate of X(3)

X(72663) = X(2)X(10182)∩X(96)X(578)

Antreas Hatzipolakis and Ercole Suppa, euclid 9721.

X(72663) lies on these lines: {2, 10182}, {4, 63816}, {96, 578}, {140, 31867}, {5890, 9221}, {6143, 32904}, {35482, 43666}, {35717, 37119}

X(72664) = X(5)X(25043)∩X(30)X(32551)

Antreas Hatzipolakis and Ercole Suppa, euclid 9728.

X(72664) lies on these lines: {5, 25043}, {30, 32551}, {403, 14978}, {539, 34598}, {547, 15345}, {1154, 3850}, {1656, 35720}, {3628, 25150}, {5055, 63645}, {10109, 34768}, {13565, 61594}, {13856, 35018}, {15957, 23338}, {16239, 18016}, {34292, 37936}

X(72664) = reflection of X(i) in X(j) for these {i,j}: {3628, 46954}, {13856, 35018}, {18016, 16239}, {23338, 15957}

X(72665) = X(5)X(25043)∩X(30)X(14143)

Antreas Hatzipolakis and Ercole Suppa, euclid 9728.

X(72665) lies on these lines: {2, 35720}, {5, 25043}, {30, 14143}, {137, 1209}, {140, 6592}, {428, 35719}, {539, 33545}, {546, 1154}, {547, 13856}, {1656, 63645}, {3519, 24573}, {3628, 15345}, {5133, 21474}, {5501, 50708}, {6676, 58468}, {10024, 34333}, {12812, 34768}, {19553, 36842}, {20414, 23337}, {25042, 38683}, {25147, 38899}, {28237, 35888}, {32428, 64472}, {34599, 47478}

X(72665) = midpoint of X(i) and X(j) for these {i,j}: {5, 25043}, {28237, 35888}
X(72665) = reflection of X(i) in X(j) for these {i,j}: {137, 25340}, {140, 32551}, {13856, 46954}, {15345, 3628}, {23337, 20414}
X(72665) = complement of X(35720)
X(72665) = pole of the line {9706, 25044} with respect to Stammler hyperbola
X(72665) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6592, 23280, 140}, {13856, 46954, 547}

X(72666) = X(732)X(20080)∩X(1799)X(36648)

Ivan Pavlov, euclid 9734.

X(72666) lies on these lines: {732, 20080}, {1799, 36648}, {7779, 16275}

X(72666) = X(i)-Ceva conjugate of X(j) for these {i, j}: {7783, 2}
X(72666) = X(i)-anticomplementary conjugate of X(j) for these {i, j}: {163, 68787}, {2056, 8}, {7783, 6327}

   Dao-Euler Points: X(72667) - X(72671)  

Contributed by Clark Kimberling, July 13, 2026, based on notes from Dao Thanh Oai, César Lozada, and Peter Moses.

From Dao Thanh Oai, June 16, 2026:

In the plane of a triangle ABC, let
P = "Kiepert point" with base angle α
Q = isogonal conjugate of P;
P' = Kiepert point with base angle -α
Q' = isogonal conjugate of P'.
Then PQ and P'Q' intersect on the Euler line.

From César Lozada, June 16, 2026:

Let K = PQ∩P'Q', and define f(α) = |OK|/|OH| = 1/(-1 + 4*cos^2α). Triangle centers associated with selected values of α appear in the following table.

From Peter Moses, June 17, 2026:

K(α) = 2*X(3) + sec(2α)*X(4) : :
K(α) = S^2 + a^2 (a^2-b^2-c^2) sin^2 * α : :
K(α) = 1 - (cot A)(cot B + cot C) sin^2 * α : :
K(α) = 1 + (cot A)(cot A - cot ω)*sin^2 α : :
K(α) = 3*X(2) + 4*sin^2(α)*X(3) (a combo)
K(α) = (1 - 2 sin^2 α, 2 sin^2 α) (Shinagawa coefficients)

Let t be the number such that (vector OP) = t*(vector OH).
Then α = (1/2) arccos((1-t)/2t)) for t in (-oo,-1)∪[1/3,oo).

Let t = (1 + sqrt(5))/2, the golden ratio, and let t(n) = n*π/10 = -2 cos(n*π)/5). The next table shows triangle centers associated with selected values of n

X(72667) = X(2)X(3)∩X(2671)X(45384)

X(72667) lies on the cubic K115, the curve Q159, and these lines: {2, 3}, {2671, 45384}, {2672, 45385}, {2673, 8253}, {2674, 8252}, {3368, 3370}, {3395, 3397}

X(72667) = reflection of X(i) in X(j) for these {i,j}: {72668, 5}, {72669, 3627}
X(72667) = X(15319)-Ceva conjugate of X(72669)
X(72667) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3090, 72669}, {3, 4, 72670}, {3, 381, 72669}, {4, 20, 72669}, {5, 140, 72669}, {235, 47090, 72669}, {376, 50689, 72669}, {377, 6976, 72669}, {382, 5073, 72669}, {546, 8703, 72669}, {547, 55861, 72669}, {548, 61976, 72669}, {549, 12811, 72669}, {550, 3861, 72669}, {631, 5068, 72669}, {632, 10109, 72669}, {1594, 68085, 72669}, {1656, 5070, 72669}, {1657, 62008, 72669}, {3091, 3524, 72669}, {3146, 15682, 72669}, {3523, 61945, 72669}, {3525, 61924, 72669}, {3526, 61919, 72669}, {3529, 50687, 72669}, {3534, 61991, 72669}, {3543, 11541, 72669}, {3544, 15721, 72669}, {3545, 61820, 72669}, {3628, 15699, 72669}, {3830, 49137, 72669}, {3832, 21735, 72669}, {3839, 62092, 72669}, {3843, 62100, 72669}, {3845, 44245, 72669}, {3850, 44682, 72669}, {3851, 61811, 72669}, {3853, 62159, 72669}, {3855, 61791, 72669}, {3857, 14891, 72669}, {3858, 58190, 72669}, {5054, 61935, 72669}, {5055, 55858, 72669}, {5056, 61867, 72669}, {5066, 61808, 72669}, {5067, 46935, 72669}, {5071, 61863, 72669}, {5072, 15701, 72669}, {5076, 15685, 72669}, {5079, 61864, 72669}, {7547, 38438, 72669}, {10303, 61932, 72669}, {12101, 15704, 72669}, {12102, 44903, 72669}, {12103, 61995, 72669}, {12108, 61939, 72669}, {12812, 61869, 72669}, {14269, 62119, 72669}, {14869, 14892, 72669}, {15022, 61859, 72669}, {15687, 58203, 72669}, {15689, 61984, 72669}, {15691, 61988, 72669}, {15716, 61955, 72669}, {17538, 61989, 72669}, {17578, 62171, 72669}, {19709, 61831, 72669}, {33703, 50690, 72669}, {35018, 61876, 72669}, {41099, 62078, 72669}, {41987, 62104, 72669}, {41990, 61801, 72669}, {41991, 58187, 72669}, {46936, 61888, 72669}, {49136, 62027, 72669}, {50688, 62161, 72669}, {50693, 61983, 72669}, {55857, 61901, 72669}, {58193, 61973, 72669}, {58207, 62016, 72669}, {61794, 61953, 72669}, {61814, 61943, 72669}, {61838, 69404, 72669}, {61854, 61923, 72669}, {61880, 61900, 72669}, {61964, 62063, 72669}, {61968, 62070, 72669}, {61970, 62075, 72669}, {61979, 62097, 72669}, {62024, 62050, 72669}, {62028, 62048, 72669}, {62036, 62038, 72669}

X(72668) = X(2)X(3)∩X(1139)X(3380)

X(72668) lies on these lines: {2, 3}, {1139, 3380}, {1140, 3394}, {2673, 42265}, {2674, 42262}

X(72668) = reflection of X(i) in X(j) for these {i,j}: {72667, 5}, {72670, 550}
X(72668) = orthocentroidal-circle-inverse of X(72670)
X(72668) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4, 72670}, {3, 4, 72669}, {3, 382, 72670}, {5, 546, 72670}, {20, 3529, 72670}, {24, 66733, 72670}, {140, 15687, 72670}, {376, 49135, 72670}, {381, 3851, 72670}, {548, 62044, 72670}, {549, 62013, 72670}, {631, 50688, 72670}, {1012, 50239, 72670}, {1513, 33229, 72670}, {1656, 14269, 72670}, {1657, 15681, 72670}, {3090, 61982, 72670}, {3091, 3855, 72670}, {3146, 3528, 72670}, {3522, 62042, 72670}, {3523, 62017, 72670}, {3526, 62004, 72670}, {3530, 3627, 72670}, {3533, 62003, 72670}, {3534, 49139, 72670}, {3543, 10299, 72670}, {3544, 3832, 72670}, {3830, 15720, 72670}, {3839, 61921, 72670}, {3843, 5079, 72670}, {3845, 35018, 72670}, {3850, 38071, 72670}, {3853, 14869, 72670}, {3854, 61947, 72670}, {3858, 11737, 72670}, {3861, 61900, 72670}, {5056, 61980, 72670}, {5059, 62130, 72670}, {5068, 61967, 72670}, {5073, 15688, 72670}, {5076, 55863, 72670}, {6240, 34005, 72670}, {6934, 50244, 72670}, {7395, 62976, 72670}, {7399, 52285, 72670}, {10301, 34664, 72670}, {11001, 62149, 72670}, {11676, 33256, 72670}, {12102, 61853, 72670}, {12103, 62164, 72670}, {14034, 55008, 72670}, {14042, 37334, 72670}, {14062, 37446, 72670}, {15682, 62067, 72670}, {15684, 62074, 72670}, {15696, 62053, 72670}, {15700, 62023, 72670}, {15704, 62151, 72670}, {15707, 62016, 72670}, {15710, 50691, 72670}, {15712, 62022, 72670}, {15715, 50690, 72670}, {17504, 62026, 72670}, {17578, 61814, 72670}, {17800, 62134, 72670}, {18570, 50006, 72670}, {20420, 50241, 72670}, {21735, 62037, 72670}, {33699, 61784, 72670}, {33703, 62097, 72670}, {33923, 62039, 72670}, {34007, 35482, 72670}, {34200, 62036, 72670}, {37468, 57002, 72670}, {38335, 61855, 72670}, {46219, 62000, 72670}, {47478, 61976, 72670}, {49133, 62109, 72670}, {49136, 62105, 72670}, {49137, 62128, 72670}, {49138, 62125, 72670}, {50687, 61836, 72670}, {50689, 69405, 72670}, {55856, 61997, 72670}, {61788, 62028, 72670}, {61798, 62021, 72670}, {61850, 62008, 72670}, {61858, 62006, 72670}, {61886, 61994, 72670}, {61892, 61990, 72670}, {61894, 61988, 72670}, {61905, 61984, 72670}, {61919, 61977, 72670}, {61925, 61975, 72670}, {61933, 61970, 72670}, {61937, 61969, 72670}, {61940, 61963, 72670}, {62007, 67095, 72670}, {62034, 62062, 72670}, {62041, 62087, 72670}, {62046, 62100, 72670}, {62047, 62101, 72670}, {62052, 62110, 72670}, {62122, 62171, 72670}, {62127, 62166, 72670}, {62131, 62163, 72670}, {62138, 62159, 72670}, {62141, 62155, 72670}, {62144, 62154, 72670}, {62147, 62153, 72670}

X(72669) = X(2)X(3)∩X(1139)X(3379)

X(72669) lies on the cubic K115, the curve Q197, and these lines: {2, 3}, {1139, 3379}, {1140, 3393}, {2673, 42263}, {2674, 42264}

X(72669) = reflection of X(i) in X(j) for these {i,j}: {72667, 3627}, {72670, 5}
X(72669) = reflection of X(72669) in the Euler line
X(72669) = X(15319)-Ceva conjugate of X(72667)
X(72669) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 3090, 72667}, {3, 4, 72668}, {3, 381, 72667}, {4, 20, 72667}, {5, 140, 72667}, {235, 47090, 72667}, {376, 50689, 72667}, {377, 6976, 72667}, {382, 5073, 72667}, {546, 8703, 72667}, {547, 55861, 72667}, {548, 61976, 72667}, {549, 12811, 72667}, {550, 3861, 72667}, {631, 5068, 72667}, {632, 10109, 72667}, {1594, 68085, 72667}, {1656, 5070, 72667}, {1657, 62008, 72667}, {3091, 3524, 72667}, {3146, 15682, 72667}, {3523, 61945, 72667}, {3525, 61924, 72667}, {3526, 61919, 72667}, {3529, 50687, 72667}, {3534, 61991, 72667}, {3543, 11541, 72667}, {3544, 15721, 72667}, {3545, 61820, 72667}, {3628, 15699, 72667}, {3830, 49137, 72667}, {3832, 21735, 72667}, {3839, 62092, 72667}, {3843, 62100, 72667}, {3845, 44245, 72667}, {3850, 44682, 72667}, {3851, 61811, 72667}, {3853, 62159, 72667}, {3855, 61791, 72667}, {3857, 14891, 72667}, {3858, 58190, 72667}, {5054, 61935, 72667}, {5055, 55858, 72667}, {5056, 61867, 72667}, {5066, 61808, 72667}, {5067, 46935, 72667}, {5071, 61863, 72667}, {5072, 15701, 72667}, {5076, 15685, 72667}, {5079, 61864, 72667}, {7547, 38438, 72667}, {10303, 61932, 72667}, {12101, 15704, 72667}, {12102, 44903, 72667}, {12103, 61995, 72667}, {12108, 61939, 72667}, {12812, 61869, 72667}, {14269, 62119, 72667}, {14869, 14892, 72667}, {15022, 61859, 72667}, {15687, 58203, 72667}, {15689, 61984, 72667}, {15691, 61988, 72667}, {15716, 61955, 72667}, {17538, 61989, 72667}, {17578, 62171, 72667}, {19709, 61831, 72667}, {33703, 50690, 72667}, {35018, 61876, 72667}, {41099, 62078, 72667}, {41987, 62104, 72667}, {41990, 61801, 72667}, {41991, 58187, 72667}, {46936, 61888, 72667}, {49136, 62027, 72667}, {50688, 62161, 72667}, {50693, 61983, 72667}, {55857, 61901, 72667}, {58193, 61973, 72667}, {58207, 62016, 72667}, {61794, 61953, 72667}, {61814, 61943, 72667}, {61838, 69404, 72667}, {61854, 61923, 72667}, {61880, 61900, 72667}, {61964, 62063, 72667}, {61968, 62070, 72667}, {61970, 62075, 72667}, {61979, 62097, 72667}, {62024, 62050, 72667}, {62028, 62048, 72667}, {62036, 62038, 72667}

X(72670) = X(2)X(3)∩X(1139)X(3396)

X(72670) lies on the curve Q197 and these lines: {2, 3}, {1139, 3396}, {1140, 3369}

X(72670) = reflection of X(i) in X(j) for these {i,j}: {72668, 550}, {72669, 5}
X(72670) = reflection of X(72670) in the Euler line
X(72670) = orthocentroidal-circle-inverse of 72668
X(72670) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 4, 72668}, {3, 4, 72667}, {3, 382, 72668}, {5, 546, 72668}, {20, 3529, 72668}, {24, 66733, 72668}, {140, 15687, 72668}, {376, 49135, 72668}, {381, 3851, 72668}, {548, 62044, 72668}, {549, 62013, 72668}, {631, 50688, 72668}, {1012, 50239, 72668}, {1513, 33229, 72668}, {1656, 14269, 72668}, {1657, 15681, 72668}, {3090, 61982, 72668}, {3091, 3855, 72668}, {3146, 3528, 72668}, {3522, 62042, 72668}, {3523, 62017, 72668}, {3526, 62004, 72668}, {3530, 3627, 72668}, {3533, 62003, 72668}, {3534, 49139, 72668}, {3543, 10299, 72668}, {3544, 3832, 72668}, {3830, 15720, 72668}, {3839, 61921, 72668}, {3843, 5079, 72668}, {3845, 35018, 72668}, {3850, 38071, 72668}, {3853, 14869, 72668}, {3854, 61947, 72668}, {3858, 11737, 72668}, {3861, 61900, 72668}, {5056, 61980, 72668}, {5059, 62130, 72668}, {5068, 61967, 72668}, {5073, 15688, 72668}, {5076, 55863, 72668}, {6240, 34005, 72668}, {6934, 50244, 72668}, {7395, 62976, 72668}, {7399, 52285, 72668}, {10301, 34664, 72668}, {11001, 62149, 72668}, {11676, 33256, 72668}, {12102, 61853, 72668}, {12103, 62164, 72668}, {14034, 55008, 72668}, {14042, 37334, 72668}, {14062, 37446, 72668}, {15682, 62067, 72668}, {15684, 62074, 72668}, {15696, 62053, 72668}, {15700, 62023, 72668}, {15704, 62151, 72668}, {15707, 62016, 72668}, {15710, 50691, 72668}, {15712, 62022, 72668}, {15715, 50690, 72668}, {17504, 62026, 72668}, {17578, 61814, 72668}, {17800, 62134, 72668}, {18570, 50006, 72668}, {20420, 50241, 72668}, {21735, 62037, 72668}, {33699, 61784, 72668}, {33703, 62097, 72668}, {33923, 62039, 72668}, {34007, 35482, 72668}, {34200, 62036, 72668}, {37468, 57002, 72668}, {38335, 61855, 72668}, {46219, 62000, 72668}, {47478, 61976, 72668}, {49133, 62109, 72668}, {49136, 62105, 72668}, {49137, 62128, 72668}, {49138, 62125, 72668}, {50687, 61836, 72668}, {50689, 69405, 72668}, {55856, 61997, 72668}, {61788, 62028, 72668}, {61798, 62021, 72668}, {61850, 62008, 72668}, {61858, 62006, 72668}, {61886, 61994, 72668}, {61892, 61990, 72668}, {61894, 61988, 72668}, {61905, 61984, 72668}, {61919, 61977, 72668}, {61925, 61975, 72668}, {61933, 61970, 72668}, {61937, 61969, 72668}, {61940, 61963, 72668}, {62007, 67095, 72668}, {62034, 62062, 72668}, {62041, 62087, 72668}, {62046, 62100, 72668}, {62047, 62101, 72668}, {62052, 62110, 72668}, {62122, 62171, 72668}, {62127, 62166, 72668}, {62131, 62163, 72668}, {62138, 62159, 72668}, {62141, 62155, 72668}, {62144, 62154, 72668}, {62147, 62153, 72668}

X(72671) = COMPLEMENT OF X(16230)

Antreas Hatzipolakis and Ercole Suppa, euclid 9745.

X(72671) lies on these lines: {2, 16230}, {3, 690}, {5, 68327}, {30, 44921}, {114, 2974}, {122, 125}, {216, 2491}, {520, 3265}, {523, 4885}, {526, 13416}, {631, 44427}, {647, 6368}, {804, 45261}, {826, 52584}, {868, 65766}, {879, 6333}, {1040, 53563}, {1368, 53567}, {2799, 6036}, {3268, 53345}, {3284, 68793}, {4226, 65976}, {5489, 41077}, {5972, 6132}, {6563, 68781}, {6823, 66498}, {8552, 15115}, {8651, 65694}, {9003, 32257}, {14295, 62698}, {15116, 60342}, {15366, 55132}, {15760, 39509}, {17974, 39473}, {30735, 50553}, {30789, 53383}, {35067, 47406}, {35364, 65408}, {39072, 65484}, {39201, 60597}, {40336, 65977}, {41078, 62438}, {44529, 47138}, {44564, 45259}, {47216, 62502}, {47570, 55131}, {55267, 71409}, {56370, 65772}

X(72671) = midpoint of X(i) and X(j) for these {i,j}: {3, 6334}, {684, 68791}, {868, 65766}, {879, 6333}, {3265, 47194}, {4226, 65976}, {5489, 41077}, {6563, 68781}, {14417, 65723}, {30735, 50553}, {39201, 60597}, {41078, 62438}, {56370, 65772}
X(72671) = reflection of X(i) in X(j) for these {i,j}: {35364, 65408}, {68327, 5}
X(72671) = complement of X(16230)
X(72671) = perspector of the circumconic through X(68)and X(525)
X(72671) = center of the circumconic through X(868)and X(879)
X(72671) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(114),X(684)}, {A,B,C,X(125),X(3265)}, {A,B,C,X(230),X(68791)}, {A,B,C,X(520),X(20975)}, {A,B,C,X(525),X(66264)}, {A,B,C,X(647),X(57154)}, {A,B,C,X(1650),X(4226)}, {A,B,C,X(2974),X(6394)}, {A,B,C,X(3564),X(9033)}, {A,B,C,X(4131),X(18210)}}
X(72671) = center of the inconic with perspector X(17932)
X(72671) = lies on the inconics with perspectors X(n) for these n: {4226, 62645}
X(72671) = center of circles {{ X(i), X(j), X(k) }} for these {i, j, k}: {2, 47097, 67641}, {3, 127, 131}, {4, 74, 99}, {5, 1511, 12042}, {98, 110, 132}, {399, 12188, 21667}, {441, 37987, 47085}, {3265, 47194, 47216}, {10620, 13188, 22337}, {12041, 33813, 49117}, {15054, 23235, 34549}, {36170, 56370, 65772}
X(72671) = pole of the line {161, 542} with respect to circumcircle
X(72671) = pole of the line {34842, 65770} with respect to Droz-Farny 1st circle
X(72671) = pole of the line {542, 6391} with respect to Droz-Farny 2nd circle
X(72671) = pole of the line {1368, 34841} with respect to nine-point circle
X(72671) = pole of the line {14356, 66925} with respect to orthocentroidal circle
X(72671) = pole of the line {107, 3563} with respect to polar circle
X(72671) = pole of the line {542, 61680} with respect to Warren reflection circle
X(72671) = pole of the line {38356, 71205} with respect to Brocard inellipse
X(72671) = pole of the line {6388, 6587} with respect to Kiepert hyperbola
X(72671) = pole of the line {20580, 32605} with respect to Kiepert parabola
X(72671) = pole of the line {22146, 23115} with respect to MacBeath circumconic
X(72671) = pole of the line {1368, 2972} with respect to MacBeath inconic
X(72671) = pole of the line {1562, 44518} with respect to orthic inconic
X(72671) = pole of the line {250, 7468} with respect to Stammler hyperbola
X(72671) = pole of the line {2693, 3563} with respect to Stammler reflection hyperbola
X(72671) = pole of the line {6527, 20080} with respect to Steiner circumellipse
X(72671) = pole of tripolar of X(17932) with respect to Steiner inellipse
X(72671) = pole of the line {107, 10425} with respect to Wallace hyperbola
X(72671) = pole of the line {542, 9919} with respect to orthoptic circle of circumcircle
X(72671) = pole of the line {35520, 65518} with respect to orthoptic circle of circumcircle of the Johnson triangle
X(72671) = pole of tripolar of X(15459) with respect to orthoptic circle of Jerabek hyperbola
X(72671) = pole of tripolar of X(65354) with respect to dual conic of polar circle
X(72671) = pole of the line {264, 62645} with respect to dual conic of Stammler hyperbola
X(72671) = pole of the line {4, 3566} with respect to dual conic of Wallace hyperbola
X(72671) = pole of tripolar of X(62645) with respect to dual conic of Moses HK-parabola
X(72671) = tripolar centroid of X(56267)
X(72671) = cross-difference of every pair of points on the line X(24)X(112)
X(72671) = foot of the perpendicular from X(i) to the line X(j)X(k) for these {i,j,k}: {44921, 4885, 5159}
X(72671) = barycentric product X(i)*X(j) for these (i, j): {114, 53173}, {230, 3265}, {339, 56389}, {460, 4143}, {520, 51481}, {525, 3564}, {879, 62590}, {1692, 52617}, {1733, 24018}, {2799, 53783}, {3267, 52144}, {3926, 55122}, {4176, 71409}, {4226, 15526}, {6333, 65726}, {6394, 55267}, {17216, 70566}, {17932, 41181}, {35067, 62645}, {36793, 61213}, {36875, 41077}, {39201, 70255}, {39473, 56687}, {42663, 70249}, {44145, 52613}, {52350, 57154}, {57109, 70564}, {68130, 70565}
X(72671) = barycentric quotient X(i)/X(j) for these (i, j): {3, 32697}, {63, 36105}, {69, 65354}, {125, 60338}, {230, 107}, {394, 10425}, {460, 6529}, {520, 2987}, {525, 35142}, {647, 3563}, {684, 57493}, {822, 36051}, {1648, 52476}, {1650, 65758}, {1692, 32713}, {1733, 823}, {2351, 58961}, {3265, 8781}, {3269, 35364}, {3564, 648}, {3926, 65277}, {4143, 57872}, {4226, 23582}, {5489, 66162}, {6394, 55266}, {8772, 24019}, {14417, 70199}, {15526, 62645}, {24018, 8773}, {24284, 47736}, {32320, 42065}, {35067, 4226}, {36875, 15459}, {39201, 32654}, {39473, 56572}, {41077, 36891}, {41181, 16230}, {42663, 2207}, {44145, 15352}, {47406, 4230}, {51335, 58070}, {51481, 6528}, {51610, 57071}, {51820, 20031}, {52144, 112}, {52613, 43705}, {53173, 40428}, {53783, 2966}, {55122, 393}, {55267, 6530}, {56389, 250}, {56687, 65265}, {57154, 11547}, {61213, 23964}, {62590, 877}, {62645, 57553}, {65726, 685}, {70565, 52919}, {71409, 6524}
X(72671) = trilinear product X(i)*X(j) for these (i, j): {230, 24018}, {326, 55122}, {520, 1733}, {656, 3564}, {822, 51481}, {1102, 71409}, {2632, 4226}, {3265, 8772}, {14208, 52144}, {17462, 53173}, {17879, 61213}, {20902, 56389}, {57109, 70565}, {70368, 70566}
X(72671) = trilinear quotient X(i)/X(j) for these (i, j): {63, 32697}, {69, 36105}, {107, 1733}, {162, 3564}, {230, 24019}, {304, 65354}, {326, 10425}, {520, 36051}, {656, 3563}, {822, 32654}, {823, 51481}, {1096, 55122}, {1820, 58961}, {2632, 35364}, {2987, 24018}, {3265, 8773}, {4226, 24000}, {8772, 32713}, {14208, 35142}, {17462, 58070}, {17879, 62645}, {20902, 60338}, {32676, 52144}, {36084, 53783}, {36092, 56687}, {36104, 65726}, {36126, 44145}, {52919, 70564}, {52920, 70565}, {57973, 70255}, {62590, 62720}
X(72671) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 6334, 690}, {684, 65723, 68791}, {684, 68791, 9033}, {3265, 47194, 520}, {14417, 65723, 9033}, {14417, 68791, 684}

X(72672) = X(102)X(37305)∩X(110)X(7012)

Ivan Pavlov and Peter Moses, euclid 9752.

X(72672) lies on the circumcircle and these lines: {102, 37305}, {108, 39199}, {109, 57179}, {110, 7012}, {953, 37117}, {1311, 62971}, {2222, 7461}, {2733, 31866}, {2734, 6906}, {4224, 53703}, {6909, 41904}, {23189, 61178}, {37404, 67758}, {43347, 56183}

X(72672) = X(23987)-cross conjugate of X(108)
X(72672) = cevapoint of X(1946) and X(2182)

X(72673) = X(100)X(46400)∩X(110)X(7045)

Ivan Pavlov and Peter Moses, euclid 9752.

X(72673) lies on the circumcircle and these lines: {100, 46400}, {103, 68913}, {107, 24032}, {109, 57175}, {110, 7045}, {112, 7128}, {658, 68222}, {934, 44408}, {2249, 65214}, {4566, 21789}, {12032, 38859}

X(72673) = X(23973)-cross conjugate of X(934)
X(72673) = X(i)-isoconjugate of X(j) for these (i,j): {657, 68921}, {3900, 68913}
X(72673) = cevapoint of X(i) and X(j) for these (i,j): {57, 53308}, {910, 8641}
X(72673) = trilinear pole of line {6, 1020}
X(72673) = barycentric quotient X(i)/X(j) for these {i,j}: {934, 68921}, {1461, 68913}, {59074, 1021}

X(72674) = X(934)X(23865)∩X(8706)X(67038)

Antreas Hatzipolakis and Ercole Suppa, euclid 9755.

X(72674) lies on the circumcircle and these lines: {934, 23865}, {8706, 67038}

X(72674) = lies on all circumconics with perspector on the line {6, 62754}
X(72674) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(74),X(98)}, {A,B,C,X(36146),X(63192)}, {A,B,C,X(37139),X(61373)}}
X(72674) = trilinear pole of line {X(6), X(62754)}

X(72675) = X(99)X(23864)∩X(101)X(4998)

Antreas Hatzipolakis and Ercole Suppa, euclid 9755.

X(72675) lies on the circumcircle and these lines: {99, 23864}, {100, 67038}, {101, 4998}, {105, 34084}, {109, 1275}, {110, 4620}, {805, 17933}, {919, 39293}, {1447, 9082}, {2291, 35157}, {9436, 59019}, {46135, 53284}

X(72675) = lies on circumconic with center X(10001)
X(72675) = lies on all circumconics with perspector on the line {6, 664}
X(72675) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(74),X(98)}, {A,B,C,X(333),X(14727)}, {A,B,C,X(666),X(40419)}, {A,B,C,X(804),X(17992)}, {A,B,C,X(1275),X(4620)}, {A,B,C,X(3676),X(31286)}, {A,B,C,X(21453),X(46135)}}
X(72675) = trilinear pole of line {X(6), X(664)}
X(72675) = Collings transform of X(10001)
X(72675) = barycentric product X(i)*X(j) for these (i,j): {100, 34084}, {664, 60014}, {4569, 30627}, {4572, 59020}
X(72675) = barycentric quotient X(i)/X(j) for these (i,j): {109, 69030}, {651, 69031}, {664, 46180}, {1415, 69018}, {4554, 69032}, {30627, 3900}, {34084, 693}, {59020, 663}, {60014, 522}
X(72675) = trilinear product X(i)*X(j) for these (i,j): {101, 34084}, {651, 60014}, {658, 30627}, {4554, 59020}
X(72675) = trilinear quotient X(i)/X(j) for these (i,j): {109, 69018}, {514, 34084}, {650, 60014}, {651, 69030}, {657, 30627}, {664, 69031}, {3063, 59020}, {4554, 46180}, {4572, 69032}

X(72676) = X(98)X(69926)∩X(22089)X(53886)

Antreas Hatzipolakis and Ercole Suppa, euclid 9755.

X(72676) lies on the circumcircle and these lines: {98, 69926}, {22089, 53886}

X(72676) = lies on circumconic with center X(52585)
X(72676) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(74),X(98)}, {A,B,C,X(22089),X(42658)}}
X(72676) = Collings transform of X(52585)

X(72677) = X(5)X(1511)∩X(52)X(3043)

Antreas Hatzipolakis and Ercole Suppa, euclid 9772.

X(72677) lies on the circumconic {{A,B,C,X(11559),X(32710)}} and these lines: {3, 11559}, {5, 1511}, {24, 11557}, {49, 21649}, {52, 3043}, {74, 38448}, {110, 186}, {113, 6240}, {125, 18475}, {146, 26882}, {184, 11806}, {195, 568}, {265, 13367}, {399, 7689}, {539, 16532}, {541, 15647}, {542, 34477}, {1173, 5504}, {1216, 22109}, {1495, 7728}, {1658, 10628}, {2070, 13417}, {2777, 20773}, {3066, 12310}, {3167, 15085}, {3448, 11464}, {3564, 22249}, {5092, 6698}, {5097, 14984}, {5446, 15463}, {5448, 10272}, {5449, 10125}, {5462, 12228}, {5562, 54073}, {5642, 38321}, {5651, 12302}, {5663, 10282}, {5944, 10264}, {6583, 58601}, {7488, 58881}, {7556, 13201}, {7575, 38898}, {9544, 12284}, {9820, 13392}, {9927, 11449}, {10018, 30714}, {10170, 12901}, {10296, 10564}, {10298, 12281}, {10733, 54001}, {11561, 41597}, {11693, 67319}, {11807, 37440}, {12106, 41671}, {12121, 18403}, {12244, 26881}, {12270, 21844}, {12319, 64181}, {12412, 17821}, {12584, 19138}, {13289, 15132}, {13293, 14915}, {14070, 17847}, {14643, 19479}, {15020, 35500}, {15039, 15083}, {15059, 37513}, {15133, 38794}, {15136, 61679}, {16163, 18563}, {16165, 38726}, {16534, 20771}, {17855, 61752}, {18567, 63685}, {19129, 32260}, {19504, 64095}, {22352, 38728}, {23315, 44407}, {32046, 58498}, {44234, 44665}, {46686, 66725}, {63710, 64182}

X(72677) = midpoint of X(i) and X(j) for these {i,j}: {110, 12893}, {399, 7689}, {1147, 2931}, {9927, 12383}, {12584, 19138}, {13289, 15132}, {30714, 46085}
X(72677) = reflection of X(i) in X(j) for these {i,j}: {5448, 10272}, {9820, 13392}, {10264, 20191}, {12038, 1511}, {23306, 43839}, {33547, 5972}
X(72677) = pole of the line {13619, 17702} with respect to Stammler hyperbola
X(72677) = pole of the line {3153, 16111} with respect to Stammler reflection hyperbola
X(72677) = pole of the line {1539, 55121} with respect to orthoptic circle of MacBeath inconic
X(72677) = pole of tripolar of X(18879) with respect to orthoptic circle of Stammler hyperbola
X(72677) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {110, 186, 11562}, {110, 12893, 13754}, {2931, 32609, 1147}, {11597, 45735, 16223}, {12584, 19138, 34382}, {15040, 45082, 12302}, {32609, 45735, 11597}

X(72678) = X(3)X(974)∩X(25)X(110)

Antreas Hatzipolakis and Ercole Suppa, euclid 9772.

X(72678) lies on these lines: {3, 974}, {4, 22979}, {6, 5181}, {22, 3047}, {25, 110}, {49, 19362}, {68, 23306}, {69, 23296}, {113, 36747}, {125, 394}, {136, 39119}, {155, 382}, {193, 18947}, {195, 568}, {265, 12429}, {323, 858}, {381, 63710}, {511, 10117}, {525, 30219}, {542, 17847}, {576, 41671}, {684, 22143}, {895, 6391}, {1069, 12888}, {1092, 21649}, {1177, 37491}, {1181, 16163}, {1511, 12161}, {1593, 12825}, {1656, 46085}, {1986, 12160}, {1994, 59553}, {2070, 45780}, {2777, 17838}, {2854, 13248}, {2914, 15741}, {2930, 9973}, {2935, 13346}, {2970, 2986}, {3157, 19469}, {3292, 18449}, {3517, 20771}, {3546, 18932}, {3751, 65524}, {5020, 11746}, {5050, 38396}, {5093, 41670}, {5562, 19457}, {5622, 13416}, {5642, 63094}, {5663, 12085}, {6090, 12596}, {6193, 12319}, {6240, 12383}, {6640, 19361}, {6642, 12236}, {6699, 11850}, {6723, 17811}, {7391, 14683}, {7519, 51882}, {7592, 15035}, {7687, 17814}, {7723, 58891}, {8548, 15059}, {8673, 60352}, {8909, 12891}, {9033, 57221}, {9143, 34603}, {9306, 11800}, {9517, 63733}, {9545, 32341}, {9820, 14627}, {9826, 11432}, {9909, 15647}, {9928, 64044}, {9934, 39568}, {9937, 54073}, {10113, 15068}, {10264, 11411}, {10620, 12302}, {10733, 11441}, {10982, 36518}, {11004, 64177}, {11422, 27866}, {11806, 68659}, {11935, 12893}, {11999, 12163}, {12038, 43845}, {12118, 18565}, {12121, 18445}, {12133, 68022}, {12166, 15132}, {12168, 15463}, {12271, 58881}, {12273, 34148}, {12284, 43574}, {12293, 19479}, {12295, 18451}, {12301, 22584}, {12364, 37496}

X(72678) = midpoint of X(i) and X(j) for these {i,j}: {6193, 12319}, {17838, 37498}
X(72678) = reflection of X(i) in X(j) for these {i,j}: {3, 5504}, {68, 23306}, {69, 23296}, {399, 155}, {2930, 52016}, {2931, 1147}, {2935, 13346}, {6391, 895}, {10620, 12302}, {11411, 10264}, {12163, 12901}, {12293, 19479}, {12310, 110}, {12383, 66762}, {12429, 265}, {15085, 12893}, {15141, 64195}, {32263, 5972}, {37491, 1177}, {39568, 9934}, {45082, 3167}, {64214, 6}
X(72678) = foot of the perpendicular from X(57221) to the line X(17838)X(37498)
X(72678) = cross-difference of every pair of points on the line X(1112)X(47236)
X(72678) = perspector of the circumconic through X(32697) and X(43755)
X(72678) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(265),X(15478)}, {A,B,C,X(2079),X(3563)}, {A,B,C,X(3564),X(45016)}, {A,B,C,X(6391),X(60352)}}
X(72678) = pole of the line {6132, 15647} with respect to circumcircle
X(72678) = pole of the line {34382, 34982} with respect to Jerabek hyperbola
X(72678) = pole of the line {5159, 34988} with respect to Kiepert hyperbola
X(72678) = pole of tripolar of X(523) with respect to MacBeath circumconic
X(72678) = pole of the line {403, 3564} with respect to Stammler hyperbola
X(72678) = pole of the line {3448, 16386} with respect to Stammler reflection hyperbola
X(72678) = pole of the line {14273, 44817} with respect to Steiner inellipse
X(72678) = pole of the line {37803, 44138} with respect to Wallace hyperbola
X(72678) = pole of the line {9934, 15478} with respect to orthoptic circle of circumcircle
X(72678) = pole of the line {125, 57609} with respect to orthoptic circle of Jerabek hyperbola
X(72678) = pole of the line {10097, 11744} with respect to orthoptic circle of MacBeath circumconic
X(72678) = pole of the line {110, 3565} with respect to orthoptic circle of Stammler hyperbola
X(72678) = pole of the line {46371, 57609} with respect to dual conic of Wallace hyperbola
X(72678) = barycentric product X(69)*X(2079)
X(72678) = barycentric quotient X(i)/X(j) for these (i,j): {3, 54453}, {2079, 4}
X(72678) = trilinear product X(63)*X(2079)
X(72678) = trilinear quotient X(i)/X(j) for these (i,j): {19, 2079}, {63, 54453}
X(72678) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {68, 23306, 38724}, {110, 1993, 19504}, {110, 12310, 45082}, {110, 19504, 45016}, {323, 52124, 15106}, {1147, 2931, 32609}, {1993, 34966, 3167}, {3167, 12310, 110}, {6193, 12319, 32423}, {12163, 12901, 15041}, {12893, 47391, 15040}, {13198, 41673, 3}, {15085, 47391, 12893}, {17838, 37498, 2777}, {44752, 58726, 3}

X(72679) = X(2)X(3)∩X(146)X(1614)

Antreas Hatzipolakis and Francisco Javier García Capitán, euclid 9773.

X(72679) lies on these lines: {2, 3}, {74, 59493}, {146, 1614}, {567, 34798}, {1154, 18442}, {2777, 10274}, {2888, 17702}, {3410, 12278}, {3448, 11440}, {3521, 10610}, {4316, 66593}, {4324, 66610}, {5000, 5001}, {5663, 12254}, {5876, 12383}, {5890, 43838}, {5895, 6800}, {5944, 7728}, {6102, 43818}, {6241, 64102}, {6288, 64180}, {6689, 66751}, {7592, 34796}, {7691, 35240}, {11381, 41482}, {11454, 67903}, {11559, 13418}, {11565, 51522}, {11591, 12121}, {12111, 14683}, {12203, 14676}, {12226, 22948}, {12244, 13491}, {12317, 45731}, {12606, 43846}, {13394, 68058}, {13445, 44829}, {13568, 34545}, {14644, 20191}, {15062, 18400}, {15108, 68018}, {15305, 34785}, {18128, 43806}, {18474, 40242}, {19467, 64025}, {19924, 66731}, {20127, 38898}, {22647, 41673}, {25738, 45736}, {26206, 59411}, {32196, 66739}, {43577, 61134}, {43613, 45286}, {43808, 68424}, {43831, 51033}, {44882, 63069}, {48880, 66736}, {48892, 66730}, {48898, 66750}, {52058, 63548}, {64179, 66737}

X(72680) = X(2)X(3)∩X(54)X(5448)

Antreas Hatzipolakis and Francisco Javier García Capitán, euclid 9773.

X(72680) lies on these lines: {2, 3}, {49, 68424}, {54, 5448}, {76, 54705}, {110, 21659}, {113, 1614}, {125, 11440}, {146, 6241}, {156, 11597}, {195, 43835}, {265, 5876}, {389, 1531}, {394, 22555}, {399, 45731}, {567, 67861}, {1154, 43865}, {1204, 26913}, {1352, 40317}, {1495, 41482}, {1503, 63069}, {1568, 13403}, {1899, 64025}, {1975, 65518}, {1994, 12241}, {2888, 9927}, {3060, 32352}, {3410, 5907}, {3448, 12111}, {3583, 4354}, {3585, 4351}, {3818, 66750}, {5000, 5001}, {5012, 43831}, {5254, 52058}, {5449, 14644}, {5475, 26216}, {5562, 50435}, {5654, 9545}, {5889, 18390}, {5890, 43816}, {5895, 13203}, {5944, 61574}, {6102, 43821}, {6146, 43605}, {6288, 15060}, {6800, 64024}, {7592, 43838}, {7689, 26917}, {7706, 15024}, {7728, 11561}, {9143, 61751}, {9306, 12278}, {9544, 19467}, {9729, 68550}, {9934, 19506}, {10113, 11591}, {10539, 12289}, {11425, 59771}, {11439, 11550}, {11441, 14683}, {11456, 40640}, {11538, 13599}, {11572, 44870}, {11750, 14157}, {12022, 22660}, {12134, 15052}, {12162, 25739}, {12163, 61701}, {12233, 34545}, {12281, 59493}, {12293, 12319}, {12370, 56292}, {12383, 61753}, {12824, 41589}, {12897, 51392}, {13219, 41009}, {13418, 21400}, {13434, 18388}, {13445, 22816}, {13579, 60618}, {13582, 60122}, {13585, 40448}, {14249, 58736}, {14639, 39818}, {14643, 32171}, {14674, 47065}, {14675, 14880}, {15030, 18383}, {15032, 58885}, {15056, 18392}, {15058, 18394}, {15061, 32210}, {15062, 20299}, {15068, 64183}, {15072, 16223}, {15087, 43575}, {15305, 18381}, {15800, 66739}, {17500, 51032}, {17845, 35264}, {17860, 52367}, {18296, 67624}, {18350, 30522}, {18376, 66756}, {18405, 32346}, {18418, 26881}, {18427, 32365}, {18504, 61747}, {20191, 23515}, {22793, 66741}, {26156, 29181}, {26166, 70210}, {26206, 36990}, {26883, 64718}, {29012, 66730}, {30529, 51254}, {31363, 62938}, {34782, 35265}, {34783, 43808}, {34944, 68015}, {35820, 66612}, {35821, 66611}, {36518, 64063}, {36982, 41738}, {37495, 51391}, {37638, 68009}, {41257, 66755}, {41365, 46924}, {41590, 63740}, {41724, 45187}, {43681, 54640}, {44829, 51403}, {46261, 64032}, {48901, 66736}, {51756, 68017}, {54704, 60285}, {54932, 60258}, {59494, 64256}, {60121, 60191}, {63392, 63839}, {63683, 67915}

X(72681) = X(4)X(5851)∩X(80)X(527)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72681) lies on the Feuerbach circumhyperbola and these lines: {4, 5851}, {7, 10707}, {8, 5856}, {9, 60782}, {11, 34919}, {80, 527}, {100, 15346}, {104, 15726}, {516, 64330}, {518, 24297}, {528, 1000}, {1156, 3218}, {1320, 15733}, {2320, 53055}, {2346, 17668}, {2801, 3577}, {3689, 34894}, {3738, 23893}, {9814, 11570}, {12755, 55924}, {13143, 61030}, {14497, 42871}, {15175, 64154}, {15909, 60962}, {18490, 25558}, {20085, 60998}, {30513, 45043}, {31272, 63643}, {34742, 55964}, {38307, 60884}, {38454, 64290}

X(72681) = reflection of X(i) in X(j) for these {i,j}: {100, 15346}, {34919, 11}
X(72681) = antigonal conjugate of X(34919)
X(72681) = symgonal image of X(15346)
X(72681) = trilinear pole of line {X(650), X(34522)}
X(72681) = lies on circumconics with center X(i) for i in {11, 15346}
X(72681) = lies on all circumconics with perspector on the line {650, 34522}
X(72681) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(1),X(4)}, {A,B,C,X(100),X(35157)}, {A,B,C,X(105),X(20119)}, {A,B,C,X(284),X(28535)}, {A,B,C,X(513),X(5856)}, {A,B,C,X(521),X(5851)}, {A,B,C,X(522),X(41798)}, {A,B,C,X(527),X(3218)}, {A,B,C,X(673),X(60782)}, {A,B,C,X(840),X(2316)}}
X(72681) = barycentric product X(4391)*X(53887)
X(72681) = barycentric quotient X(i)/X(j) for these (i,j): {{1, 50573}, {43065, 18801}, {53887, 651}
X(72681) = trilinear product X(522)*X(53887)
X(72681) = trilinear quotient X(i)/X(j) for these (i,j): {2, 50573}, {109, 53887}, {18801, 26015}

X(72682) = X(4)X(9864)∩X(98)X(740)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72682) lies on the Kiepert circumhyperbola and these lines: {2, 71237}, {4, 9864}, {98, 740}, {99, 15349}, {115, 43677}, {516, 54546}, {519, 55003}, {537, 54605}, {542, 54609}, {752, 54492}, {2784, 3429}, {2796, 60172}, {2799, 4444}, {4697, 14534}, {20437, 40017}, {28580, 54491}, {32014, 59509}, {35103, 54563}, {54119, 66678}, {60320, 70729}

X(72682) = reflection of X(i) in X(j) for these {i,j}: {99, 15349}, {43677, 115}
X(72682) = antigonal conjugate of X(43677)
X(72682) = symgonal image of X(15349)
X(72682) = antitomic conjugate of X(43677)
X(72682) = trilinear pole of line {X(523), X(34528)}
X(72682) = lies on circumconics with center X(i) for i in {115, 15349}
X(72682) = lies on all circumconics with perspector on the line {523, 34528}
X(72682) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(2),X(4)}, {A,B,C,X(740),X(2799)}, {A,B,C,X(1934),X(7235)}, {A,B,C,X(3027),X(35544)}, {A,B,C,X(4647),X(4697)}}
X(72682) = barycentric quotient X(10026)/X(25607)
X(72682) = trilinear quotient X(25607)/X(68991)

X(72683) = X(40)X(29374)∩X(56)X(52315)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72683) lies on the cubics K806, K826 and these lines: {40, 29374}, {56, 52315}, {3035, 43353}, {3436, 35313}, {11247, 35604}, {18340, 38560}, {21105, 35015}

X(72683) = reflection of X(43353) in X(3035)
X(72683) = isogonal conjugate of X(57105)
X(72683) = antigonal conjugate of X(11)
X(72683) = symgonal image of X(3035)
X(72683) = Miquel associate of X(68357)
X(72683) = trilinear pole of line {X(46101), X(52316)}
X(72683) = foot of the perpendicular from X(i) to the line X(j)X(k) for these {i,j,k}: {21105, 40, 29374}, {40, 21105, 35015}
X(72683) = lies on circumconic with center X(3035)
X(72683) = lies on all circumconics with perspector on the line {46101, 52316}
X(72683) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(1),X(1146)}, {A,B,C,X(4),X(11)}, {A,B,C,X(40),X(38357)}, {A,B,C,X(80),X(34896)}, {A,B,C,X(885),X(21105)}, {A,B,C,X(1086),X(64980)}, {A,B,C,X(1118),X(1358)}, {A,B,C,X(3160),X(68914)}, {A,B,C,X(4225),X(38345)}, {A,B,C,X(4534),X(56940)}}
X(72683) = barycentric product X(i)*X(j) for these (i,j): {11, 68357}, {4858, 29374}
X(72683) = barycentric quotient X(i)/X(j) for these (i,j): {6, 57105}, {11, 37781}, {2170, 1768}, {8735, 60356}, {29374, 4564}, {68357, 4998}
X(72683) = trilinear product X(i)*X(j) for these (i,j): {11, 29374}, {2170, 68357}
X(72683) = trilinear quotient X(i)/X(j) for these (i,j): {11, 1768}, {59, 29374}, {4564, 68357}, {4858, 37781}, {34345, 35015}

X(72684) = X(12)X(52119)∩X(442)X(5620)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72684) lies on these lines: {12, 52119}, {442, 5620}, {4999, 43354}, {5535, 45926}, {5842, 51760}, {11604, 46441}

X(72684) = reflection of X(i) in X(j) for these {i,j}: {12, 52119}, {43354, 4999}
X(72684) = antigonal conjugate of X(12)
X(72684) = symgonal image of X(4999)
X(72684) = lies on circumconics with center X(i) for i in {4999, 52119}
X(72684) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(4),X(12)}, {A,B,C,X(65),X(46441)}, {A,B,C,X(502),X(42005)}, {A,B,C,X(4036),X(24298)}, {A,B,C,X(5535),X(68765)}, {A,B,C,X(43354),X(65281)}}
X(72684) = barycentric product X(12)*X(68358)
X(72684) = barycentric quotient X(68358)/X(261)
X(72684) = trilinear product X(2171)*X(68358)
X(72684) = trilinear quotient X(i)/X(j) for these (i,j): {2185, 68358}, {5620, 46441}

X(72685) = X(1)X(60987)∩X(2)X(15348)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72685) lies on the Feuerbach circumhyperbola and these lines: {1, 60987}, {2, 15348}, {4, 15733}, {21, 5766}, {72, 55964}, {84, 527}, {104, 5759}, {329, 1156}, {516, 56273}, {518, 3427}, {943, 63643}, {1260, 34894}, {2346, 60959}, {3062, 61010}, {3577, 5853}, {5809, 30513}, {5851, 34256}, {6172, 55960}, {7091, 60982}, {8058, 23893}, {10309, 15726}, {10429, 12528}, {12848, 56262}, {24389, 42015}, {38308, 63970}, {47387, 63168}, {55922, 61011}, {61030, 64265}

X(72685) = anticomplement of X(15348)
X(72685) = perspector of the inconic with center X(34526)
X(72685) = lies on circumconics with center X(i) for i in {11, 43960}
X(72685) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(1),X(4)}, {A,B,C,X(2),X(60987)}, {A,B,C,X(55),X(1242)}, {A,B,C,X(68),X(34902)}, {A,B,C,X(142),X(60959)}, {A,B,C,X(144),X(61010)}, {A,B,C,X(226),X(60997)}, {A,B,C,X(281),X(58002)}, {A,B,C,X(329),X(527)}, {A,B,C,X(346),X(39695)}}
X(72685) = barycentric product X(4391)*X(30237)
X(72685) = barycentric quotient X(i)/X(j) for these (i,j): {9, 1998}, {220, 47387}, {650, 30199}, {30237, 651}, {34526, 15348}
X(72685) = trilinear product X(522)*X(30237)
X(72685) = trilinear quotient X(i)/X(j) for these (i,j): {8, 1998}, {109, 30237}, {200, 47387}, {522, 30199}

X(72686) = X(28)X(3556)∩X(34)X(4331)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72686) lies on these lines: {4, 44670}, {28, 3556}, {34, 4331}, {286, 4329}, {915, 44059}, {946, 55105}, {1119, 64747}, {5317, 21148}

X(72686) = lies on circumconics with center X(i) for i in {5521, 43963}
X(72686) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(4),X(19)}, {A,B,C,X(7),X(393)}, {A,B,C,X(25),X(513)}, {A,B,C,X(66),X(55024)}, {A,B,C,X(1002),X(8749)}, {A,B,C,X(1042),X(3556)}, {A,B,C,X(1093),X(58007)}, {A,B,C,X(1857),X(14775)}, {A,B,C,X(1880),X(15320)}, {A,B,C,X(2217),X(43695)}}
X(72686) = barycentric product X(17924)*X(44059)
X(72686) = barycentric quotient X(i)/X(j) for these (i,j): {19, 2000}, {34, 2002}, {6591, 8760}, {44059, 1332}
X(72686) = trilinear product X(7649)*X(44059)
X(72686) = trilinear quotient X(i)/X(j) for these (i,j): {4, 2000}, {278, 2002}, {1331, 44059}, {7649, 8760}

X(72687) = X(2)X(35888)∩X(30)X(15345)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72687) lies on these lines: {2, 35888}, {5, 23338}, {30, 15345}, {54, 24573}, {110, 13362}, {113, 137}, {140, 6150}, {428, 35887}, {547, 15425}, {1141, 15307}, {1154, 33545}, {3628, 14143}, {5501, 50708}, {7745, 39018}, {8902, 32165}, {10024, 63837}, {11819, 62589}, {12605, 34833}, {12812, 34597}, {13163, 32639}, {20414, 25150}, {28237, 35720}, {32551, 34598}

X(72687) = midpoint of X(i) and X(j) for these {i,j}: {140, 23337}, {28237, 35720}
X(72687) = reflection of X(i) in X(j) for these {i,j}: {5, 23338}, {546, 31879}, {14143, 3628}, {32551, 34598}
X(72687) = complement of X(35888)
X(72687) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {140, 23337, 32744}, {6150, 31376, 140}

X(72688) = X(2)X(8547)∩X(5)X(2854)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72688) lies on these lines: {2, 8547}, {5, 2854}, {6, 25488}, {110, 597}, {125, 29959}, {141, 858}, {381, 524}, {542, 12039}, {599, 31105}, {1503, 50008}, {2393, 20300}, {2930, 14389}, {3589, 8546}, {3631, 3867}, {3818, 8542}, {4549, 29181}, {5092, 63648}, {5169, 62381}, {5648, 53843}, {7495, 12367}, {7533, 41617}, {8550, 15037}, {9019, 41714}, {9027, 19130}, {9145, 37345}, {10546, 47455}, {14094, 14982}, {15018, 32255}, {15435, 18919}, {15583, 34573}, {16042, 25320}, {18553, 25489}, {20582, 32216}, {22165, 41721}, {22330, 45184}, {23410, 44490}, {25328, 37648}, {32111, 47353}, {32154, 48906}, {33851, 44218}, {35001, 48881}, {36990, 44440}, {37283, 44882}, {50977, 66615}, {50991, 71230}

X(72688) = midpoint of X(3818) and X(8542)
X(72688) = reflection of X(i) in X(j) for these {i,j}: {6, 25488}, {5092, 63648}, {8546, 3589}, {44882, 37283}, {48906, 32154}
X(72688) = complement of X(8547)
X(72688) = center of circle {X(3734), X(3818), X(8542)}
X(72688) = pole of the line {2549, 9465} with respect to Kiepert hyperbola
X(72688) = pole of the line {26233, 69450} with respect to Wallace hyperbola
X(72688) = pole of the line {2780, 68787} with respect to orthoptic circle of nine-point circle

X(72689) = X(11)X(8261)∩X(442)X(10572)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72689) lies on these lines: {11, 8261}, {442, 10572}, {758, 63963}, {6882, 54212}, {44669, 64274}

X(72690) = X(5)X(675)∩X(118)X(381)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72690) lies on the circumcircle of the Johnson triangle and these lines: {3, 5513}, {5, 675}, {30, 44876}, {118, 381}, {1478, 33966}, {1479, 6025}, {1656, 31380}, {5779, 10747}, {10738, 20430}, {10749, 68365}, {18531, 34335}

X(72690) = midpoint of X(44876) and X(44968)
X(72690) = reflection of X(i) in X(j) for these {i,j}: {3, 5513}, {675, 5}
X(72690) = reflection of X(53190) in the line X(5)X(523)

X(72691) = X(3)X(35971)∩X(5)X(689)

Antreas Hatzipolakis and Ercole Suppa, euclid 9788.

X(72691) lies on the circumcircle of the Johnson triangle and these lines: {3, 35971}, {5, 689}, {30, 37888}, {381, 44947}, {1478, 7334}, {1479, 6026}, {9301, 66827}

X(72691) = midpoint of X(44937) and X(53889) for these {i,j}: {44937, 53889}
X(72691) = reflection of X(i) in X(j) for these {i,j}: {3, 35971}, {689, 5}
X(72691) = reflection of X(53918) in the line X(5)X(523)

X(72692) = X(3)X(161)∩X(389)X(8883)

Antreas Hatzipolakis and Ercole Suppa, euclid 9804.

X(72692) lies on these lines: {3, 161}, {24, 53386}, {54, 52540}, {186, 19192}, {389, 8883}, {418, 18416}, {549, 23320}, {3432, 22268}, {6641, 61747}, {10274, 46025}, {10282, 23719}, {11202, 37813}, {14652, 66737}, {15869, 61753}, {18475, 34218}, {21394, 43809}, {32391, 58468}

X(72692) = midpoint of X(3) and X(56308)
X(72692) = pole of the line {3520, 6750} with respect to Stammler reflection hyperbola
X(72692) = {X(3),X(56308)}-harmonic conjugate of X(18400)

X(72693) = X(1)X(528)∩X(7)X(1155)

Antreas Hatzipolakis and Ercole Suppa, euclid 9804.

X(72693) lies on these lines: {1, 528}, {2, 44785}, {3, 30424}, {7, 1155}, {65, 30340}, {142, 15346}, {516, 37606}, {1001, 17010}, {1156, 61008}, {1159, 5542}, {2646, 30332}, {3485, 3522}, {3812, 4208}, {4002, 13750}, {4795, 24980}, {4860, 30379}, {5087, 34919}, {5219, 5851}, {5220, 21075}, {5572, 25722}, {5729, 60978}, {6857, 15254}, {13464, 52682}, {15726, 17603}, {21620, 36279}, {30295, 34879}, {30331, 61279}, {35445, 38454}, {37298, 60905}, {37374, 55922}, {37541, 60993}, {59476, 60933}, {60946, 61648}, {60980, 61153}, {61035, 67097}

X(72693) = midpoint of X(7) and X(5218)
X(72693) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(3254),X(63166)}, {A,B,C,X(6173),X(37757)}, {A,B,C,X(42064),X(55920)}}
X(72693) = pole of the line {7671, 18839} with respect to Feuerbach hyperbola
X(72693) = pole of the line {1638, 30181} with respect to Steiner inellipse
X(72693) = pole of the line {527, 34522} with respect to dual conic of Yff parabola
X(72693) = cross-difference of every pair of points on the line X(17425)X(22108)
X(72693) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {6173, 10427, 5880}, {43180, 64113, 36279}

X(72694) = X(3)X(3626)∩X(9)X(80)

Antreas Hatzipolakis and Ercole Suppa, euclid 9804.

X(72694) lies on these lines: {2, 44784}, {3, 3626}, {8, 1319}, {9, 80}, {10, 10912}, {40, 33559}, {57, 8256}, {355, 35460}, {484, 64087}, {518, 18419}, {1158, 5690}, {1532, 63143}, {2099, 6735}, {3057, 3617}, {3632, 13747}, {3748, 5554}, {3877, 58663}, {5123, 34640}, {5177, 5836}, {5880, 51782}, {6929, 38176}, {7504, 70802}, {10915, 15934}, {11362, 37822}, {11545, 68616}, {11715, 26446}, {12607, 18421}, {13462, 38455}, {13528, 59388}, {24703, 51433}, {25681, 63210}, {31508, 32157}, {34122, 64203}, {34647, 51362}, {43174, 52683}, {49169, 51788}, {63990, 66240}, {64204, 66257}

X(72694) = midpoint of X(8) and X(59572) for these {i,j}: {8, 59572}
X(72694) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(80),X(63167)}, {A,B,C,X(2161),X(63163)}}
X(72694) = cross-difference of every pair of points on the line X(17424)X(53314)
X(72694) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 37829, 37828}, {8, 59572, 33956}, {3679, 63137, 3036}

X(72695) = X(7)X(11)∩X(10)X(141)

Antreas Hatzipolakis and Ercole Suppa, euclid 9804.

X(72695) lies on the circumconic {{A,B,C,X(55076),X(62723)}} and these lines: {5, 43180}, {7, 11}, {10, 141}, {12, 30340}, {56, 390}, {57, 38454}, {354, 8255}, {496, 30424}, {527, 3816}, {528, 999}, {1001, 50739}, {1385, 43151}, {1418, 53617}, {2800, 20330}, {2886, 6173}, {3058, 30295}, {3333, 3813}, {3338, 4312}, {3660, 5572}, {3822, 51098}, {3873, 61035}, {3925, 59374}, {4321, 5727}, {4999, 38061}, {5045, 64113}, {5126, 30331}, {5218, 8732}, {5221, 60926}, {5289, 38053}, {5434, 45043}, {5559, 10390}, {5708, 60895}, {5854, 11041}, {5902, 38055}, {6067, 33108}, {6600, 35023}, {6601, 15179}, {7676, 41341}, {7951, 59372}, {8545, 17728}, {9710, 11037}, {10058, 42884}, {10177, 17051}, {10569, 61028}, {10589, 60967}, {11019, 15726}, {11036, 45085}, {11680, 59375}, {15008, 58573}, {15254, 64124}, {15587, 41573}, {15733, 58577}, {15888, 30312}, {17366, 67146}, {20116, 31657}, {21346, 68914}, {21617, 61660}, {21955, 63576}, {31249, 36973}, {34753, 60912}, {59476, 61019}, {60919, 60948}, {60980, 64443}, {60984, 72013}, {60988, 63258}, {60993, 64127}, {61015, 61649}, {63980, 65452}

X(72695) = midpoint of X(11019) and X(61022)
X(72695) = perspector of the circumconic through X(54118) and X(60487)
X(72695) = pole of the line {1638, 4905} with respect to incircle
X(72695) = pole of the line {3058, 15726} with respect to Feuerbach hyperbola
X(72695) = pole of the line {37, 1323} with respect to dual conic of Yff parabola
X(72695) = pole of the line {2886, 30379} with respect to dual conic of Moses-Feuerbach circumconic
X(72695) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {142, 15841, 58563}, {354, 30379, 8255}, {6173, 41555, 2886}, {11019, 61022, 15726}

X(72696) = X(5)X(4691)∩X(10)X(141)

Antreas Hatzipolakis and Ercole Suppa, euclid 9804.

X(72696) lies on the circumconic {{A,B,C,X(17758),X(42339)}} and these lines: {5, 4691}, {8, 1997}, {9, 32157}, {10, 141}, {11, 4678}, {12, 53620}, {145, 50038}, {200, 66257}, {210, 8256}, {496, 4669}, {528, 2551}, {529, 9709}, {936, 38455}, {958, 59591}, {1210, 4711}, {1329, 3679}, {1376, 37267}, {1706, 17768}, {2885, 3840}, {2886, 3614}, {3436, 49732}, {3452, 13463}, {3625, 17527}, {3626, 3813}, {3633, 17575}, {3711, 5554}, {3740, 6736}, {3921, 10039}, {3968, 6147}, {3983, 6735}, {4015, 5690}, {4187, 4668}, {4413, 56879}, {4679, 63142}, {4745, 31419}, {5084, 8168}, {5253, 34689}, {5316, 66256}, {5815, 5852}, {5837, 58629}, {6667, 64081}, {6690, 7080}, {7681, 59503}, {8165, 11235}, {8580, 32049}, {9708, 64123}, {9710, 17757}, {10107, 21060}, {11260, 20103}, {12447, 32537}, {15481, 43174}, {15888, 46933}, {17051, 25011}, {18236, 27870}, {21896, 66071}, {25639, 38098}, {26105, 66259}, {26127, 34699}, {30393, 64204}, {32198, 46694}, {34606, 36005}, {40257, 61628}, {44720, 69091}, {44847, 51072}, {50244, 57288}, {51415, 59310}, {61510, 63980}, {62061, 63751}

X(72696) = pole of the line {2886, 6736} with respect to dual conic of Moses-Feuerbach circumconic
X(72696) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {8, 9711, 3816}, {10, 12607, 3826}, {3617, 21031, 2886}, {3626, 3820, 3813}

X(72697) = X(3)X(66)∩X(20)X(5893)

Antreas Hatzipolakis and Ercole Suppa, euclid 9804.

X(72697) lies on these lines: {3, 66}, {4, 58434}, {20, 5893}, {30, 32903}, {64, 10304}, {140, 18383}, {154, 3522}, {184, 68907}, {186, 12241}, {206, 46374}, {343, 38438}, {376, 2883}, {378, 16656}, {389, 37934}, {546, 10182}, {548, 10282}, {549, 34785}, {550, 11202}, {631, 41362}, {632, 34786}, {1192, 8550}, {1350, 53050}, {1498, 3528}, {1620, 6776}, {1657, 67868}, {1853, 15717}, {1885, 15448}, {2393, 17704}, {2777, 13392}, {2781, 13348}, {2888, 38448}, {3146, 61680}, {3183, 15576}, {3357, 46853}, {3520, 16621}, {3523, 17845}, {3524, 64037}, {3525, 18405}, {3526, 23324}, {3530, 18400}, {3534, 51491}, {3819, 68028}, {5596, 55651}, {5656, 62092}, {5878, 62100}, {5895, 35260}, {5944, 47335}, {6000, 32142}, {6146, 21844}, {6240, 7699}, {6411, 8991}, {6412, 13980}, {6689, 31833}, {6759, 8703}, {6803, 18382}, {7499, 20376}, {8567, 11206}, {9729, 44668}, {9786, 12007}, {9820, 44242}, {10117, 16661}, {10170, 63728}, {10193, 61790}, {10298, 68018}, {10299, 40686}, {10541, 23326}, {10565, 27082}, {10606, 21735}, {10984, 44268}, {11204, 62069}, {11425, 37460}, {11430, 11745}, {12024, 26879}, {12100, 20299}, {12103, 61749}, {12108, 32767}, {12250, 62084}, {12289, 15153}, {12293, 66584}, {12315, 14093}, {12324, 62067}, {13093, 62075}, {13346, 64061}, {13367, 13568}, {13403, 37935}, {13567, 15750}, {14530, 62085}, {14862, 41981}, {14864, 61784}, {14869, 23325}, {15051, 23315}, {15105, 32063}, {15152, 26882}, {15246, 32345}, {15274, 34286}, {15331, 44665}, {15332, 61608}, {15583, 53094}, {15644, 41589}, {15646, 22962}

X(72697) = midpoint of X(i) and X(j) for these {i,j}: {20, 5893}, {548, 10282}, {550, 16252}, {5894, 68025}, {6696, 34782}, {9820, 44242}, {12103, 61749}, {15332, 61608}, {15585, 44882}, {15644, 41589}, {32903, 64063}
X(72697) = reflection of X(i) in X(j) for these {i,j}: {32184, 17704}, {32767, 12108}
X(72697) = intersection, other than A, B, C, of the circumconics: {{A,B,C,X(66),X(31361)}, {A,B,C,X(14376),X(37878)}}
X(72697) = center of circle {X(20), X(5893), X(67662)}
X(72697) = pole of the line {22, 8567} with respect to Stammler hyperbola
X(72697) = pole of the line {378, 1620} with respect to Stammler reflection hyperbola
X(72697) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {3, 9833, 23328}, {3, 34782, 6696}, {20, 5893, 50709}, {20, 10192, 5893}, {20, 64024, 68058}, {154, 3522, 5894}, {154, 5894, 68025}, {376, 17821, 2883}, {548, 10282, 15311}, {550, 11202, 16252}, {3523, 17845, 23332}, {6247, 34782, 64033}, {6696, 34782, 1503}, {10192, 68058, 64024}, {11206, 21734, 8567}, {13367, 37931, 13568}, {15585, 44882, 1503}, {32903, 64063, 30}, {35260, 5X(72697) 0693, 5895}, {64024, 68058, 5893}

X(72698) = (name pending)

Antreas Hatzipolakis, Ercole Suppa and Francisco Javier García Capitán, euclid 9820.

X(72698) lies on this line: {2, 3}

X(72698) = reflection of X(72699) in X(2)

X(72699) = (name pending)

Antreas Hatzipolakis, Ercole Suppa and Francisco Javier García Capitán, euclid 9820.

X(72699) lies on this line: {2, 3}

X(72699) = reflection of X(72698) in X(2)

X(72700) = (name pending)

Antreas Hatzipolakis, Ercole Suppa and Francisco Javier García Capitán, euclid 9820.

X(72700) lies on this line: {2, 3}

X(72700) = reflection of X(72701) in X(2)

X(72701) = (name pending)

Antreas Hatzipolakis, Ercole Suppa and Francisco Javier García Capitán, euclid 9820.

X(72701) lies on this line: {2, 3}

X(72701) = reflection of X(72700) in X(2)

  Points related to parabicevian triangles: X(72702) - X(72773)  

The following definitions follows Euclid 9767, see the post for more details.

Let Cev(X) denote the cevian triangle of some point X. Let U=(u:v:w) and P=(p:q:r), in barycentrics. Let T1 be the paraidal triangle of Cev(P) wrt Cev(U) and let T2 be the paraidal triangle of Cev(U) wrt Cev(P). Then we call the side triangle of T1 and T2 - parabicevian triangle of U and P.

In this section we consider the proprties of some parabicevian triangles. The following are homothetic to ABC:

• the parabicevian of X(1) and X(75) - with center X(1215)
• the parabicevian of X(3) and X(68) - with center X(184)
• the parabicevian of X(4) and X(69) - with center X(9306)
• the parabicevian of X(7) and X(8) - with center X(1376)
• the parabicevian of X(6) and X(76) - with center X(4076)
• the parabicevian of X(10) and X(86) - with center X(72769)

X(72702) = PERSPECTOR OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) AND ANTI-AQUILA

X(72702) lies on these lines: {1, 312}, {2, 3754}, {10, 72705}, {65, 19864}, {214, 11115}, {244, 1125}, {321, 50604}, {392, 22299}, {474, 23844}, {551, 3159}, {894, 5563}, {960, 19863}, {964, 30144}, {978, 28611}, {1111, 59509}, {1193, 4647}, {3216, 4714}, {3244, 46897}, {3485, 19836}, {3616, 17140}, {3622, 72706}, {3624, 72704}, {3636, 3994}, {3812, 19847}, {3884, 26115}, {3902, 50587}, {3992, 10459}, {4067, 46909}, {4187, 51870}, {4195, 37525}, {4234, 37616}, {4642, 20108}, {4673, 5312}, {4754, 7208}, {5051, 11813}, {5192, 30147}, {5258, 27064}, {5263, 69274}, {5313, 70499}, {5603, 19784}, {5750, 21801}, {5883, 26094}, {6533, 49598}, {7819, 30160}, {8666, 26223}, {10469, 17452}, {11354, 34471}, {15950, 17698}, {16062, 18393}, {16828, 25917}, {16895, 30158}, {16921, 30164}, {17030, 46899}, {17614, 72712}, {17686, 30132}, {17688, 30140}, {19868, 69688}, {19869, 64160}, {22836, 24552}, {24254, 24786}, {25055, 42053}, {25079, 56191}, {25591, 30116}, {29824, 63354}, {30143, 71978}, {33107, 36974}, {39244, 70473}, {52538, 71086}, {63310, 71929}

X(72702) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 1215, 72708}, {1125, 72710, 244}, {49598, 49997, 6533}, {72705, 72709, 10}

X(72703) = PERSPECTOR OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) AND 5TH MIXTILINEAR

X(72703) lies on circumconic {{A, B, C, X(30710), X(58279)}} and on these lines: {1, 312}, {8, 244}, {10, 16602}, {145, 17140}, {355, 29844}, {495, 49613}, {518, 72155}, {519, 942}, {537, 3878}, {596, 2802}, {726, 9957}, {730, 66666}, {740, 3244}, {944, 28850}, {986, 17480}, {996, 30148}, {1015, 4095}, {1149, 4696}, {1222, 60353}, {1320, 72711}, {1385, 71520}, {2901, 51071}, {3241, 72707}, {3616, 72705}, {3623, 72706}, {3880, 67983}, {3884, 59717}, {3885, 17155}, {3898, 24068}, {3907, 69376}, {3968, 6532}, {4434, 5563}, {4723, 28352}, {4737, 21214}, {4861, 32923}, {5903, 42055}, {7373, 29649}, {8669, 24928}, {10912, 72712}, {10914, 24165}, {12127, 17151}, {13464, 59730}, {17164, 20039}, {17614, 70841}, {17647, 17765}, {17766, 18990}, {20050, 32860}, {20057, 32915}, {22837, 59285}, {24325, 72189}, {24349, 66650}, {24850, 37588}, {25371, 70435}, {35633, 58609}, {48643, 49600}, {51093, 64184}, {56145, 67146}, {63333, 72088}, {64429, 71729}, {69221, 70946}

X(72703) = reflection of X(i) in X(j) for these {i,j}: {35633, 58609}, {63800, 1}
X(72703) = pole of line {24924, 27014} with respect to the Steiner inellipse
X(72703) = pole of line {4415, 17235} with respect to the dual conic of Yff parabola
X(72703) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 70433, 63800}, {1, 72708, 1215}, {145, 17140, 72709}, {1149, 4696, 25079}

X(72704) = PERSPECTOR OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) AND GEMINI 109

X(72704) lies on these lines: {2, 38}, {10, 16602}, {11, 24169}, {57, 4672}, {88, 4418}, {140, 517}, {171, 27002}, {312, 28516}, {518, 6686}, {740, 3752}, {846, 25531}, {986, 25492}, {1054, 32942}, {1155, 72206}, {1279, 59679}, {1376, 29668}, {1646, 21327}, {1647, 4972}, {1698, 4737}, {2308, 24593}, {2886, 25351}, {2999, 49489}, {3035, 29656}, {3306, 25496}, {3616, 72709}, {3624, 72702}, {3666, 4871}, {3670, 19847}, {3677, 72312}, {3739, 72155}, {3741, 4732}, {3742, 6685}, {3756, 29655}, {3791, 71984}, {3816, 3821}, {3817, 48649}, {3836, 24239}, {3846, 5121}, {3911, 6679}, {3923, 70256}, {3971, 4003}, {4011, 17595}, {4022, 25106}, {4085, 11019}, {4090, 21342}, {4135, 28554}, {4202, 28096}, {4369, 8034}, {4413, 29652}, {4414, 71982}, {4415, 11814}, {4425, 25377}, {4432, 17596}, {4434, 7191}, {4457, 31136}, {4650, 70485}, {4697, 27003}, {4734, 30948}, {4850, 30957}, {4892, 69251}, {4903, 49517}, {4906, 71520}, {4974, 14829}, {5018, 40420}, {5205, 17598}, {5211, 33079}, {5272, 32916}, {5284, 67431}, {5432, 29672}, {5437, 9746}, {5573, 72311}, {5745, 31289}, {7292, 32918}, {8056, 50314}, {8258, 34753}, {8362, 71841}, {9352, 72198}, {10180, 30950}, {16569, 31233}, {16706, 71109}, {17017, 71986}, {17020, 32919}, {17123, 24627}, {17290, 72712}, {17566, 36505}, {17591, 18743}, {17592, 30947}, {17728, 25453}, {17779, 71934}, {18059, 31002}, {18193, 32935}, {18201, 27064}, {19804, 29827}, {19862, 58386}, {19864, 49598}, {20108, 58565}, {20942, 49445}, {21330, 27311}, {24165, 30818}, {24177, 48643}, {24443, 26094}, {24589, 27798}, {24652, 59516}, {24709, 33100}, {24924, 58784}, {24988, 29690}, {25347, 40480}, {25385, 40688}, {25961, 29680}, {26093, 37598}, {26688, 36263}, {28494, 72230}, {28498, 72220}, {28595, 69134}, {29649, 49472}, {29650, 37674}, {29654, 37634}, {29671, 72001}, {29821, 71985}, {29828, 72315}, {29849, 71999}, {29855, 31224}, {30567, 32921}, {31191, 69688}, {31272, 72711}, {32010, 32016}, {32774, 71997}, {32851, 72003}, {32950, 71992}, {33064, 37663}, {33068, 71990}, {33069, 37651}, {33070, 72011}, {33071, 72009}, {33081, 62620}, {33113, 72005}, {33125, 72013}, {33152, 37758}, {34595, 69493}, {36634, 49450}, {37592, 46827}, {37662, 49676}, {45204, 49511}, {46901, 72054}, {49490, 59298}, {49520, 59506}, {51415, 69299}, {59726, 71322}, {62833, 72316}, {69092, 71085}

X(72704) = midpoint of X(i) and X(j) for these {i,j}: {982, 59511}, {3752, 3840}, {4090, 21342}
X(72704) = inverse of X(44353) in Steiner inellipse
X(72704) = complement of X(59511)
X(72704) = pole of line {37734, 49691} with respect to the Feuerbach hyperbola
X(72704) = pole of line {812, 17496} with respect to the Steiner inellipse
X(72704) = pole of line {3912, 21025} with respect to the dual conic of Yff parabola
X(72704) = pole of line {1222, 4645} with respect to the dual conic of Moses-Feuerbach circumconic
X(72704) = pole of line {28521, 48131} with respect to the orthoptic circle of Steiner inellipse
X(72704) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1215), X(32016)}}, {{A, B, C, X(24003), X(32010)}}
X(72704) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17063, 24325}, {2, 17140, 72705}, {2, 38, 24003}, {2, 4392, 72287}, {2, 6682, 3842}, {2, 72304, 31264}, {2, 9335, 32771}, {2, 982, 59511}, {38, 24003, 4096}, {57, 70942, 4672}, {244, 1215, 42053}, {244, 72705, 17140}, {982, 59511, 537}, {1125, 6692, 58443}, {1376, 29668, 49473}, {3752, 3840, 740}, {4392, 72287, 42054}, {6682, 58467, 2}, {17123, 24627, 59624}, {17140, 72705, 1215}, {17591, 18743, 49456}, {17596, 71980, 4432}, {24589, 31241, 27798}, {27003, 32944, 4697}, {29650, 37674, 50293}

X(72705) = PERSPECTOR OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) AND GEMINI 110

X(72705) lies on circumconic {{A, B, C, X(6682), X(7035)}} and on these lines: {2, 38}, {10, 72702}, {37, 70436}, {42, 30818}, {43, 71631}, {210, 31241}, {312, 46904}, {518, 71637}, {748, 29828}, {896, 27064}, {899, 3725}, {908, 32781}, {1089, 20108}, {1125, 3992}, {1698, 3754}, {1962, 4358}, {2650, 3831}, {3035, 72711}, {3452, 69294}, {3589, 29683}, {3616, 72703}, {3634, 72710}, {3666, 3994}, {3681, 29827}, {3722, 32942}, {3727, 25629}, {3740, 30970}, {3741, 21805}, {3745, 62659}, {3814, 19867}, {3816, 29685}, {3840, 46897}, {3846, 26251}, {3932, 29688}, {3967, 46901}, {3989, 4009}, {4011, 70520}, {4090, 46909}, {4135, 69539}, {4359, 6686}, {4425, 30566}, {4457, 62296}, {4642, 26030}, {4672, 9340}, {4687, 72155}, {4722, 14829}, {4849, 31136}, {5205, 32772}, {5219, 31237}, {5718, 29687}, {7081, 17469}, {7504, 36499}, {9342, 24342}, {9350, 50314}, {9458, 71981}, {14439, 71491}, {15523, 37662}, {17187, 70434}, {17279, 29678}, {17289, 71092}, {17308, 30816}, {17357, 29865}, {17369, 72712}, {17450, 30957}, {17596, 41242}, {17602, 29684}, {17717, 29679}, {17718, 29677}, {17720, 29663}, {17722, 33091}, {17725, 29666}, {17763, 71184}, {18059, 72140}, {18743, 70501}, {19862, 64434}, {19863, 59666}, {20889, 41318}, {21026, 33105}, {22167, 27261}, {24239, 33162}, {24593, 71518}, {24627, 32938}, {25079, 26115}, {25496, 72294}, {25666, 27799}, {26094, 46190}, {26227, 70942}, {27002, 72351}, {27078, 51575}, {27131, 32784}, {29604, 69688}, {29610, 30868}, {29639, 69298}, {29651, 71982}, {29659, 72013}, {29662, 38047}, {29670, 71978}, {29680, 33165}, {29845, 37758}, {30567, 62821}, {31053, 33174}, {31242, 64149}, {32778, 37651}, {32852, 63089}, {32860, 59298}, {32916, 72290}, {32917, 72292}, {33079, 33107}, {33086, 33096}, {33299, 71483}, {37663, 69252}, {37762, 58443}, {38000, 72308}, {41241, 71489}, {44307, 53034}, {45233, 72231}, {50302, 72296}, {59306, 61686}, {59628, 62630}, {61707, 72220}, {69296, 71085}, {70153, 71461}

X(72705) = pole of line {812, 69580} with respect to the Steiner inellipse
X(72705) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17140, 72704}, {2, 32931, 38}, {2, 3952, 6682}, {2, 59511, 756}, {10, 72702, 72709}, {38, 32931, 71630}, {244, 1215, 72707}, {899, 44417, 21020}, {1215, 42053, 72706}, {1215, 72704, 17140}, {3840, 46897, 62867}, {3952, 6682, 42039}, {4358, 6685, 1962}, {4672, 71479, 9340}, {7081, 32944, 17469}, {17140, 72704, 244}, {17357, 61648, 29865}, {27064, 32918, 896}

X(72706) = PERSPECTOR OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) AND GEMINI 111

X(72706) lies on these lines: {1, 19741}, {2, 38}, {8, 46895}, {42, 50117}, {75, 19998}, {145, 72708}, {192, 69519}, {321, 49478}, {518, 31025}, {726, 29822}, {894, 20045}, {3616, 24068}, {3617, 3754}, {3621, 72709}, {3622, 72702}, {3623, 72703}, {3664, 50000}, {3720, 71117}, {3891, 19717}, {3935, 17116}, {3995, 15569}, {4054, 29835}, {4363, 68989}, {4414, 30579}, {4647, 20051}, {4699, 58379}, {4704, 72155}, {4968, 20040}, {5293, 19337}, {5749, 29831}, {7290, 26223}, {8025, 32926}, {17018, 71597}, {17118, 71926}, {17135, 49498}, {17145, 49491}, {17146, 30942}, {17150, 19743}, {17348, 72083}, {17491, 33076}, {17495, 46897}, {20011, 28605}, {20035, 50408}, {20069, 41819}, {20095, 72711}, {21027, 49697}, {21806, 28516}, {23805, 49273}, {24199, 71102}, {24231, 26251}, {24330, 71584}, {24344, 71636}, {26758, 69252}, {26806, 60459}, {26860, 72347}, {27811, 49456}, {27812, 49457}, {28599, 33097}, {29669, 33098}, {29824, 49479}, {31019, 31079}, {31029, 48647}, {31030, 33108}, {31136, 49535}, {31290, 58784}, {31300, 31301}, {32920, 70482}, {32935, 71478}, {42034, 62866}, {49484, 72078}, {49493, 64161}, {49525, 69539}, {49982, 58571}, {51060, 62296}, {53663, 69251}, {56696, 61403}, {62236, 68999}, {68950, 69834}, {70483, 72311}, {71479, 72306}, {72712, 72753}

X(72706) = intersection, other than A, B, C, of circumconics {{A, B, C, X(870), X(17154)}}, {{A, B, C, X(3842), X(58784)}}
X(72706) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 24349, 17154}, {1215, 17140, 2}, {1215, 42053, 72705}, {1215, 72707, 17140}, {24325, 31161, 3952}, {31178, 32931, 72304}, {46897, 49483, 17495}

X(72707) = ORTHOLOGY CENTER OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) WRT ANTI-ARTZT

X(72707) lies on these lines: {1, 42044}, {2, 38}, {7, 33074}, {37, 72141}, {42, 42051}, {75, 71631}, {142, 69298}, {312, 17450}, {321, 42057}, {518, 21020}, {519, 2650}, {527, 50274}, {528, 72711}, {536, 2667}, {551, 3159}, {726, 1962}, {894, 17469}, {896, 3757}, {899, 71637}, {976, 19276}, {1909, 20889}, {2810, 72759}, {3112, 65072}, {3241, 72703}, {3475, 33156}, {3679, 3754}, {3720, 3994}, {3722, 4418}, {3729, 62849}, {3782, 29685}, {3896, 50117}, {3923, 71908}, {3924, 48832}, {3938, 4363}, {3967, 30950}, {3979, 64010}, {3980, 72068}, {3989, 28582}, {3996, 72092}, {4030, 7228}, {4090, 24589}, {4113, 4739}, {4126, 34824}, {4359, 21805}, {4362, 71913}, {4365, 49478}, {4654, 31134}, {4664, 17157}, {4670, 29816}, {4685, 51060}, {4688, 22271}, {4697, 20045}, {4722, 32914}, {4884, 29682}, {4966, 6535}, {5249, 21026}, {5695, 67209}, {5846, 64164}, {5904, 48852}, {6358, 53531}, {7081, 72351}, {7321, 32948}, {11679, 54352}, {14839, 72758}, {16823, 32938}, {16825, 72071}, {17018, 49493}, {17116, 32945}, {17118, 41711}, {17135, 49491}, {17147, 21806}, {17155, 46904}, {17354, 29853}, {17369, 29686}, {17449, 44417}, {17483, 33076}, {17781, 50305}, {19684, 49455}, {19717, 49472}, {19819, 50282}, {19879, 26729}, {20974, 21923}, {21214, 64562}, {21342, 31241}, {24165, 46897}, {24231, 32781}, {24821, 33761}, {25055, 27784}, {25557, 29687}, {26223, 72311}, {26227, 72306}, {26627, 72312}, {26842, 33079}, {27064, 72313}, {27186, 33165}, {27804, 28516}, {28503, 37631}, {28605, 49490}, {28606, 49532}, {28840, 58784}, {29651, 32933}, {29659, 33146}, {29667, 33103}, {29669, 32950}, {29689, 44416}, {29820, 41242}, {29835, 48643}, {29872, 31280}, {30615, 71993}, {31019, 33169}, {31330, 49499}, {32920, 72291}, {32922, 71184}, {32927, 72293}, {32935, 72295}, {33090, 33097}, {33094, 36479}, {34612, 49727}, {37593, 49525}, {41629, 72070}, {42029, 51055}, {42034, 72163}, {42042, 50106}, {48830, 50071}, {49445, 62840}, {49453, 67208}, {49515, 59306}, {49524, 69253}, {49535, 62226}, {49676, 69296}, {49688, 71989}, {49982, 58560}, {50048, 71938}, {50295, 71797}, {50302, 71794}, {64555, 70472}, {68966, 72073}, {68969, 72088}, {71451, 72080}, {71452, 72076}, {71906, 72232}, {71907, 72234}, {71910, 72067}, {71911, 72069}, {71915, 72072}, {71916, 72079}, {71917, 72078}, {71919, 72085}, {71922, 72086}, {71923, 72082}, {71924, 72084}, {71925, 72091}, {71928, 72090}, {71930, 72097}, {71933, 72098}, {71934, 72094}, {71935, 72096}, {72028, 72272}, {72215, 72270}, {72290, 72315}, {72294, 72309}, {72297, 72307}

X(72707) = reflection of X(i) in X(j) for these {i,j}: {42039, 2}
X(72707) = pole of line {4645, 7504} with respect to the dual conic of Moses-Feuerbach circumconic
X(72707) = pole of line X(i)X(j) wrt the inconic with perspector X(k) for these {i,j,k}: {2254, 4036, 75}
X(72707) = intersection, other than A, B, C, of circumconics {{A, B, C, X(38), X(60529)}}, {{A, B, C, X(291), X(43972)}}, {{A, B, C, X(873), X(42053)}}, {{A, B, C, X(3112), X(42054)}}, {{A, B, C, X(18822), X(42039)}}, {{A, B, C, X(42038), X(65071)}}, {{A, B, C, X(42041), X(65073)}}
X(72707) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 17140, 42053}, {2, 17165, 42054}, {2, 31161, 71630}, {2, 42055, 42038}, {2, 537, 42039}, {244, 1215, 72705}, {321, 49479, 62867}, {894, 32923, 17469}, {1215, 17140, 244}, {1215, 42053, 2}, {3757, 32940, 896}, {4418, 72233, 71909}, {17140, 72706, 1215}, {17165, 24325, 756}, {24349, 32771, 38}, {29651, 32933, 70520}, {32914, 72074, 71914}, {42029, 51055, 72164}, {71909, 72233, 3722}, {71914, 72074, 4722}, {72708, 72710, 72709}

X(72708) = ORTHOLOGY CENTER OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) WRT ASCELLA

X(72708) lies on these lines: {1, 312}, {8, 2891}, {10, 244}, {36, 68889}, {75, 3632}, {145, 72706}, {274, 4986}, {321, 3244}, {341, 3624}, {388, 4680}, {495, 30171}, {519, 2650}, {551, 3701}, {596, 4642}, {952, 42005}, {984, 72155}, {996, 3924}, {1015, 21021}, {1111, 1909}, {1125, 3992}, {1219, 3085}, {1478, 4894}, {1698, 4737}, {1930, 7278}, {2170, 22011}, {2292, 59717}, {2802, 17164}, {3585, 4514}, {3626, 4359}, {3633, 70499}, {3634, 4723}, {3635, 3702}, {3636, 4358}, {3679, 28611}, {3705, 37719}, {3757, 5258}, {3761, 7264}, {3831, 4694}, {3878, 17165}, {3881, 17751}, {3884, 56318}, {3898, 25253}, {3901, 49499}, {3902, 42031}, {3987, 24165}, {4030, 18990}, {4054, 49600}, {4066, 51071}, {4095, 68950}, {4160, 58784}, {4487, 4691}, {4671, 20057}, {4673, 51093}, {4695, 24176}, {4754, 68890}, {4861, 24026}, {4915, 52346}, {4935, 34641}, {5015, 5270}, {5045, 49999}, {5251, 9369}, {5559, 20881}, {5563, 7081}, {5903, 24349}, {6358, 10944}, {7148, 72112}, {7208, 16720}, {8666, 26227}, {9053, 63360}, {10572, 49466}, {10914, 49483}, {11010, 32939}, {14210, 25303}, {17755, 29383}, {17766, 66658}, {17769, 18697}, {19862, 52353}, {19875, 44720}, {20045, 63292}, {20050, 28605}, {21067, 39244}, {23661, 66205}, {24326, 69257}, {24629, 29400}, {24631, 29381}, {24786, 69136}, {25055, 46937}, {25591, 56804}, {28257, 59669}, {28352, 59666}, {32860, 50575}, {33090, 36974}, {34747, 42029}, {37563, 63996}, {37598, 64429}, {37693, 49613}, {46897, 50604}, {49458, 70943}, {49473, 70472}, {49495, 67013}, {49678, 72193}, {50749, 56778}, {52716, 70248}, {64010, 64199}

X(72708) = reflection of X(i) in X(j) for these {i,j}: {4647, 4968}, {72709, 72710}
X(72708) = pole of line X(i)X(j) wrt the inconic with perspector X(k) for these {i,j,k}: {900, 4036, 75}
X(72708) = intersection, other than A, B, C, of circumconics {{A, B, C, X(1220), X(5557)}}, {{A, B, C, X(30710), X(39994)}}
X(72708) = barycentric product X(i)*X(j) for these (i, j): {69556, 75}
X(72708) = barycentric quotient X(i)/X(j) for these (i, j): {69556, 1}
X(72708) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 1089, 4975}, {1, 1215, 72702}, {1, 4692, 1089}, {8, 17140, 3754}, {519, 4968, 4647}, {519, 72710, 72709}, {1215, 72703, 1}, {1930, 64133, 7278}, {3761, 39731, 7264}, {4738, 6533, 10}, {25303, 33941, 14210}, {72707, 72709, 72710}

X(72709) = ORTHOLOGY CENTER OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) WRT EXCENTERS-MIDPOINTS

X(72709) lies on these lines: {1, 88}, {2, 66650}, {8, 1215}, {10, 72702}, {12, 53530}, {38, 5903}, {42, 10914}, {65, 21342}, {81, 64201}, {145, 17140}, {171, 4861}, {355, 33104}, {517, 2292}, {519, 2650}, {612, 7982}, {756, 3878}, {896, 5258}, {940, 10912}, {952, 72711}, {975, 30323}, {976, 2099}, {1149, 3812}, {1193, 4695}, {1201, 3753}, {1468, 3872}, {2170, 2295}, {3057, 21321}, {3230, 21921}, {3241, 42053}, {3242, 64963}, {3244, 3896}, {3340, 28039}, {3550, 3897}, {3616, 72704}, {3621, 72706}, {3626, 21805}, {3634, 71094}, {3698, 27627}, {3720, 9957}, {3868, 59310}, {3877, 59311}, {3884, 56191}, {3902, 67976}, {3915, 19860}, {3918, 49997}, {3919, 3953}, {3922, 52541}, {3938, 68668}, {3961, 62830}, {3979, 63333}, {3987, 50604}, {4390, 54382}, {4414, 12702}, {4653, 37563}, {4694, 33815}, {4853, 54421}, {5119, 10448}, {5277, 17439}, {5293, 62826}, {5530, 51433}, {5559, 63319}, {5697, 27785}, {5710, 49487}, {5712, 67959}, {5844, 63360}, {5902, 50637}, {8583, 52181}, {10039, 33105}, {10944, 42837}, {11009, 30115}, {11260, 54310}, {11263, 24222}, {11362, 29639}, {11373, 71997}, {11524, 63310}, {12629, 62819}, {16466, 40587}, {16499, 69227}, {17056, 45081}, {17164, 70433}, {17448, 65695}, {17449, 31794}, {17531, 47623}, {17706, 49989}, {17717, 70802}, {20050, 49490}, {21013, 31460}, {21808, 69245}, {21840, 69244}, {22791, 69173}, {22837, 37522}, {28082, 37542}, {29400, 30850}, {29510, 30869}, {30147, 37610}, {33096, 56880}, {35274, 71954}, {37607, 38460}, {38455, 49745}, {46899, 71950}, {49470, 72155}, {49473, 64555}, {49494, 62805}, {54392, 66647}, {59509, 69028}, {60353, 62804}, {62821, 64203}

X(72709) = reflection of X(i) in X(j) for these {i,j}: {2292, 10459}, {72708, 72710}
X(72709) = pole of line {50353, 68953} with respect to the DeLongchamps ellipse
X(72709) = pole of line {1635, 4024} with respect to the Hofstadter ellipse
X(72709) = pole of line {28385, 54391} with respect to the dual conic of Moses-Feuerbach circumconic
X(72709) = pole of line X(i)X(j) wrt the inconic with perspector X(k) for these {i,j,k}: {1769, 4036, 75}
X(72709) = intersection, other than A, B, C, of circumconics, {{A, B, C, X(106), X(43972)}}, {{A, B, C, X(519), X(33771)}}
X(72709) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 3754, 244}, {1, 5541, 33771}, {1, 5883, 46190}, {10, 72702, 72705}, {517, 10459, 2292}, {519, 72710, 72708}, {1193, 5836, 4695}, {5710, 49487, 62847}, {63333, 64199, 3979}, {72708, 72710, 72707}

X(72710) = ORTHOLOGY CENTER OF THESE TRIANGLES: PARABICEVIAN OF X(1) AND X(75) WRT 1ST JENKINS

X(72710) lies on these lines: {1, 596}, {8, 46895}, {10, 12}, {214, 42443}, {244, 1125}, {514, 4754}, {517, 48933}, {519, 2650}, {551, 3743}, {740, 3244}, {867, 29655}, {944, 7222}, {995, 64431}, {1046, 54335}, {1159, 5793}, {1193, 24176}, {1962, 3636}, {2238, 68961}, {2263, 28968}, {2294, 17355}, {2295, 22011}, {2901, 66687}, {3159, 59305}, {3616, 58387}, {3626, 21020}, {3632, 17163}, {3634, 72705}, {3664, 18697}, {3702, 64536}, {3721, 70473}, {3812, 49993}, {3831, 33815}, {3833, 25079}, {3878, 20718}, {3901, 31330}, {3923, 30143}, {3924, 48866}, {3958, 63978}, {3980, 22836}, {3987, 46897}, {3993, 72155}, {3994, 66043}, {4003, 10180}, {4016, 5750}, {4075, 56191}, {4115, 16589}, {4151, 66995}, {4347, 37043}, {4363, 68668}, {4653, 63996}, {4670, 68955}, {4697, 63292}, {4717, 35633}, {5258, 32940}, {5267, 22060}, {5425, 54331}, {5563, 69903}, {5693, 48888}, {5835, 6147}, {5902, 50605}, {5903, 32771}, {6532, 49997}, {6789, 17531}, {7228, 18990}, {7231, 37728}, {7686, 59637}, {8258, 50757}, {8666, 72306}, {9623, 67848}, {10158, 59686}, {10459, 59717}, {12559, 50314}, {16137, 65543}, {16604, 68940}, {17175, 53332}, {17180, 41875}, {17205, 59509}, {17647, 72712}, {17758, 24254}, {18698, 69734}, {19862, 58386}, {20108, 24443}, {20520, 53331}, {20970, 68941}, {21951, 70478}, {22035, 28594}, {23731, 58784}, {23812, 63370}, {24068, 30116}, {24165, 50604}, {24349, 71468}, {24850, 35016}, {25081, 59579}, {25368, 72237}, {25440, 64753}, {26363, 28774}, {29375, 31052}, {29381, 31063}, {30942, 67971}, {31178, 66650}, {31794, 44417}, {32860, 50588}, {33097, 36974}, {35550, 50116}, {36479, 68503}, {38456, 63366}, {39766, 69840}, {42031, 53114}, {44671, 49491}, {49503, 69525}, {49558, 54418}, {49683, 62805}, {50002, 58565}, {50115, 68935}, {50750, 63274}, {59760, 68667}, {63333, 64010}, {70797, 72711}, {71333, 72771}

X(72710) = midpoint of X(i) and X(j) for these {i,j}: {1, 17164}, {2650, 4647}, {72708, 72709}
X(72710) = reflection of X(i) in X(j) for these {i,j}: {10, 49598}, {2292, 1125}, {3244, 63354}, {4065, 1}
X(72710) = perspector of circumconic {{A, B, C, X(4552), X(37205)}}
X(72710) = pole of line {950, 64536} with respect to the Feuerbach hyperbola
X(72710) = pole of line {60, 595} with respect to the Stammler hyperbola
X(72710) = pole of line {1577, 24924} with respect to the Steiner inellipse
X(72710) = pole of line {22003, 65161} with respect to the Yff parabola
X(72710) = pole of line {58288, 68788} with respect to the Hofstadter ellipse
X(72710) = pole of line {261, 4360} with respect to the Wallace hyperbola
X(72710) = pole of line {3666, 3936} with respect to the dual conic of Yff parabola
X(72710) = pole of line X(i)X(j) wrt the inconic with perspector X(k) for these {i,j,k}: {4036, 53527, 75}
X(72710) = intersection, other than A, B, C, of circumconics {{A, B, C, X(12), X(596)}}, {{A, B, C, X(65), X(39949)}}, {{A, B, C, X(181), X(40148)}}, {{A, B, C, X(226), X(27793)}}
X(72710) = barycentric product X(i)*X(j) for these (i, j): {1, 27793}
X(72710) = barycentric quotient X(i)/X(j) for these (i, j): {27793, 75}
X(72710) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 17164, 68895}, {1, 68895, 4065}, {244, 72702, 1125}, {740, 63354, 3244}, {1215, 3754, 10}, {2295, 22011, 70856}, {2650, 4647, 519}, {42031, 53114, 67976}, {56191, 56318, 4075}, {72707, 72709, 72708}