## ETC Zayin conjugates.

#### Last update: 2012/02/09.

##### 4965 points sampled.
The appearance of {j, k} after a triangle centre X(n) means that X(n) is the X(j)-Zayin Conjugate of X(k).

Centre  Zayin Conjugates
X(1){1,1},{6,1743},{9,3973},{31,1707},{33,1750},{37,9},{38,63},{42,43},{44,44},{48,610},{55,165},{65,46},{73,1745},{221,2956},{244,1054},{354,57},{367,364},{513,513},{517,484},{518,1757},{649,649},{650,650},{652,652},{654,654},{656,656},{657,657},{659,659},{661,661},{663,4040},{672,672},{770,770},{774,920},{798,798},{822,822},{851,851},{896,896},{899,899},{910,910},{942,3336},{1042,1044},{1100,6},{1104,1724},{1108,1723},{1155,1155},{1193,3216},{1201,978},{1279,238},{1284,1756},{1319,36},{1491,1491},{1575,1575},{1635,1635},{1725,1749},{1755,1755},{1953,19},{1962,846},{1964,1740},{2099,2093},{2173,2173},{2182,2182},{2183,2183},{2225,2225},{2227,2227},{2228,2228},{2229,2229},{2230,2230},{2231,2231},{2232,2232},{2233,2233},{2234,2234},{2235,2235},{2236,2236},{2237,2237},{2238,2238},{2239,2239},{2240,2240},{2243,2243},{2244,2244},{2245,2245},{2246,2246},{2247,2247},{2252,2252},{2253,2253},{2254,2254},{2260,579},{2262,2270},{2265,2265},{2269,573},{2272,2272},{2290,2290},{2292,191},{2293,1742},{2294,1781},{2312,2312},{2313,2313},{2314,2314},{2315,2315},{2317,2261},{2348,2348},{2446,2449},{2447,2448},{2483,2483},{2484,2484},{2503,2503},{2509,2509},{2511,2511},{2515,2515},{2516,2516},{2522,2522},{2526,2526},{2578,2578},{2579,2579},{2590,2590},{2591,2591},{2599,3460},{2600,2600},{2605,3737},{2610,2610},{2624,2624},{2630,2630},{2631,2631},{2632,2629},{2635,2635},{2637,2637},{2638,2636},{2641,2641},{2642,2642},{2643,2640},{2646,3},{2650,1046},{2654,4},{2658,1047},{2667,1045},{3000,3000},{3009,2664},{3013,3013},{3057,40},{3287,3287},{3304,3361},{3330,3330},{3669,4905},{3720,2},{3721,1759},{3722,100},{3723,37},{3726,3509},{3727,3496},{3744,3550},{3745,171},{3748,55},{3768,3768},{3900,1734},{3924,1722},{3938,200},{3989,3219},{4016,1761},{4083,4063},{4118,1760},{4162,3309},{4319,2951},{4336,1721},{4367,1019},{4394,4394},{4449,514},{4724,4724},{4782,4782},{4784,4784},{4790,4790},{4813,4813},{4864,518},{4879,512},{4893,4893}
X(2){1,6},{7,1730},{21,573},{36,2183},{58,579},{81,4253},{86,2},{238,672},{320,3218},{350,239},{513,649},{614,1724},{693,514},{905,657},{1010,391},{1019,798},{1125,9},{1193,1743},{1756,1755},{2309,43},{3086,1713},{3664,57},{3720,1},{3737,661},{4038,1475},{4040,513},{4106,4498},{4131,4091},{4292,2270},{4303,610},{4357,63},{4425,3496},{4653,4266},{4811,4765}
X(3){1,4},{9,573},{21,3},{58,3149},{284,6},{522,513},{652,650},{663,3309},{960,40},{1021,661},{1731,44},{1776,1155},{1800,155},{1858,46},{2194,1754},{2264,1743},{2360,1498},{2646,1},{3100,971},{3601,581},{3683,165},{4511,517},{4653,1012}
X(4){1,3},{4,1715},{29,4},{33,1754},{281,1765},{284,573},{497,1764},{650,652},{950,40},{1021,822},{1172,579},{2299,1779},{2323,2252},{2654,1},{3737,656}
X(5){1,54},{2600,654},{3615,5},{4282,2245}
X(6){1,2},{6,3216},{57,579},{58,4383},{81,6},{239,1575},{284,3},{514,650},{649,513},{942,57},{1019,661},{1021,656},{1100,1},{1172,3149},{1197,1740},{1333,1724},{1449,386},{1459,905},{1870,1465},{1914,238},{1919,667},{2300,978},{2303,474},{3125,1054},{3218,44},{3554,1714},{3666,9},{3670,63},{3733,1019},{4025,2509},{4063,649},{4498,4394},{4658,940},{4850,4286}
X(7){1,55},{650,657},{1734,652},{2346,3730},{3309,649},{4040,650}
X(8){1,56},{650,649},{1222,8}
X(9){1,57},{2,9},{3,1763},{5,1726},{6,46},{8,3928},{9,40},{10,63},{37,1},{39,43},{44,484},{57,2270},{141,1759},{142,169},{178,362},{216,1745},{226,19},{230,1756},{233,3460},{241,910},{281,84},{396,3179},{442,1762},{513,4063},{514,649},{519,3218},{522,514},{523,1019},{525,1021},{551,3306},{647,3737},{650,513},{665,659},{726,239},{800,1044},{905,650},{942,1730},{960,1764},{1015,1054},{1100,3336},{1125,2},{1146,1768},{1196,1716},{1210,1708},{1211,1761},{1212,165},{1213,191},{1214,610},{1215,75},{1249,3182},{1465,2182},{1575,1757},{1639,900},{1698,3929},{2090,504},{2092,1046},{2276,3751},{2325,519},{2509,1734},{2887,1760},{3002,851},{3004,2483},{3008,672},{3159,3187},{3161,2136},{3163,3464},{3239,522},{3247,3333},{3290,238},{3452,1766},{3634,3219},{3663,2082},{3666,6},{3667,4498},{3669,4394},{3693,518},{3700,523},{3709,512},{3712,524},{3716,812},{3723,3337},{3731,1697},{3743,81},{3752,1743},{3767,1711},{3772,1723},{3911,2183},{3912,3509},{3946,4253},{3960,1635},{3971,3875},{3985,740},{4009,536},{4021,1475},{4070,752},{4130,3900},{4157,754},{4357,3496},{4369,798},{4422,1018},{4521,3667},{4522,824},{4526,891},{4529,3907},{4698,3294},{4763,3768},{4765,4778},{4820,4802},{4944,4777}
X(10){1,58},{661,649},{1220,10},{2298,1400},{3737,513},{3907,514},{4071,3509},{4086,522}
X(11){1,59},{1983,2245}
X(12){1,60},{2610,654}
X(13){1,15}
X(14){1,16}
X(15){1,13}
X(16){1,14}
X(17){1,61}
X(18){1,62}
X(19){1,63},{4,1708},{19,920},{92,19},{226,9},{278,1741},{281,1158},{514,652},{661,656},{908,2252},{946,57},{1519,3911},{1577,822},{1699,1445},{1826,46},{1848,579},{1855,1709},{1953,1},{2173,1749},{2294,191},{2582,2578},{2583,2579},{3064,522}
X(20){1,64},{1043,20},{2287,573},{4397,3667}
X(21){1,65},{650,661},{1758,851}
X(22){1,66}
X(23){1,67}
X(24){1,68}
X(25){1,69},{1019,656},{2484,2522}
X(26){1,70}
X(27){1,71},{522,822},{3465,2245},{4040,656}
X(28){1,72},{513,656}
X(29){1,73},{652,822},{2655,851}
X(30){1,74},{2341,2245}
X(31){1,75},{82,31},{798,661},{812,2254},{1577,656},{1933,1580},{1966,2227},{3405,2236},{4063,513}
X(32){1,76}
X(33){1,77},{657,652}
X(34){1,78},{649,652}
X(35){1,79},{523,513},{943,35}
X(36){1,80},{104,36},{654,650},{900,513},{1319,1},{2161,44},{2182,1743},{2250,2183}
X(37){1,81},{661,513},{1019,649},{1126,4641},{1255,37},{3723,1},{4132,4063},{4826,4834}
X(38){1,82}
X(39){1,83},{261,992}
X(40){1,84},{8,40},{9,9},{10,1158},{11,1768},{55,1709},{72,1490},{210,165},{497,57},{518,971},{519,515},{521,513},{522,3667},{950,4},{952,2829},{960,3},{1001,3358},{1145,2950},{1837,46},{1864,1750},{2321,1766},{2802,2800},{2804,900},{3057,1},{3058,1699},{3059,2951},{3239,649},{3307,3307},{3308,3308},{3686,573},{3688,1742},{3706,1764},{3738,2827},{3877,3576},{3880,517},{3900,3309},{4046,2941},{4111,2938},{4520,3294},{4662,3579},{4847,63}
X(41){1,85},{4369,661}
X(42){1,86},{798,649},{1019,513}
X(43){1,87},{6,43},{25,1044},{31,978},{32,1716},{39,9},{41,1742},{42,1},{51,46},{184,1745},{213,1740},{237,1756},{512,3737},{649,4040},{667,513},{669,1019},{672,2664},{800,1711},{1400,1707},{1475,1743},{2092,846},{2223,238},{2271,4335},{2308,3216},{2309,2},{2347,165},{2451,1021},{3271,1054},{3778,63}
X(44){1,88},{6,4674},{9,106},{43,903},{44,1},{46,1797},{57,2316},{88,44},{104,1465},{513,1022},{517,57},{1022,1635},{1023,244},{1054,3257},{1635,513},{1731,3},{1739,63},{1743,1320},{1766,1417},{1769,905},{2087,1054},{2161,36},{2316,517},{2640,4622},{2827,3669},{3216,4080},{3218,6},{3257,2087},{3737,4049},{3960,650},{4498,2441},{4585,3125},{4674,3218}
X(45){1,89},{4893,513}
X(46){1,90},{4,46},{6,9},{19,1723},{25,1711},{33,1709},{34,1728},{51,43},{65,1},{185,1745},{208,1720},{225,920},{427,1726},{429,1710},{430,1719},{924,3737},{1503,1756},{1785,1727},{1824,1707},{1825,47},{1826,19},{1827,1721},{1828,1722},{1829,1724},{1830,109},{1831,580},{1834,191},{1835,1725},{1836,57},{1837,40},{1839,579},{1841,1713},{1842,1714},{1843,1716},{1844,1717},{1845,1718},{1854,84},{1855,1752},{1858,3},{1859,1754},{1864,165},{1865,1744},{1874,1733},{1875,1735},{1876,1736},{1877,1737},{1878,1739},{1887,1771},{1899,1763},{1901,1781},{1902,1777},{2262,1743},{2501,1021},{3064,652},{3566,1019},{3574,3460},{3827,238},{3914,63},{4295,3338}
X(47){1,91},{1825,46},{2148,48},{2190,47}
X(48){1,92},{822,656},{1577,661},{2148,47},{2167,48}
X(49){1,93}
X(50){1,94}
X(51){1,95}
X(52){1,96}
X(53){1,97}
X(54){1,5},{654,2600}
X(55){1,7},{514,513},{657,650},{1174,218},{2346,55},{3748,1}
X(56){1,8},{649,650},{1476,56},{3667,513}
X(57){1,9},{4,2270},{7,57},{30,2245},{56,1723},{65,1743},{177,173},{226,169},{354,1},{497,40},{511,2238},{512,3287},{513,650},{514,657},{515,2183},{516,672},{517,44},{518,2348},{522,652},{542,2503},{553,4253},{900,654},{942,6},{946,19},{950,573},{971,910},{1071,610},{1387,2161},{1401,978},{1439,223},{1836,46},{2800,2265},{2801,2246},{2820,2254},{2827,1635},{3057,3973},{3307,2590},{3308,2591},{3309,513},{3333,2257},{3649,1781},{3663,63},{3664,2},{3667,649},{3668,1708},{3671,2285},{3672,3929},{3676,514},{3782,1759},{3881,3217},{4014,1054},{4021,3219},{4106,4063},{4292,579},{4298,1400},{4854,191},{4862,3928},{4883,3294},{4887,3218},{4890,846},{4896,3306},{4897,1019},{4920,1760}
X(58){1,10},{522,656},{649,661},{2363,58},{3509,2238}
X(59){1,11},{1768,513}
X(60){1,12},{654,2610}
X(61){1,17}
X(62){1,18}
X(63){1,19},{2,169},{8,1766},{10,9},{38,1},{75,63},{240,2312},{307,1763},{321,1759},{522,649},{656,661},{693,4063},{726,3509},{982,2082},{986,2285},{1210,2270},{1266,3218},{1441,1726},{1577,798},{1725,2173},{1733,1755},{1734,513},{1735,2182},{1736,910},{1737,2183},{1738,672},{1739,44},{1769,1635},{1772,2265},{1930,1760},{2085,1740},{2292,1781},{2588,2578},{2589,2579},{3123,1054},{3663,57},{3670,6},{3673,1445},{3676,4498},{3728,846},{3741,3496},{3778,43},{3914,46},{4025,514},{4357,2},{4389,3306},{4467,1019},{4647,1761},{4847,40}
X(64){1,20}
X(65){1,21},{661,650},{1021,652}
X(66){1,22}
X(67){1,23}
X(68){1,24}
X(69){1,25},{1021,798},{1734,649},{2522,2484}
X(70){1,26}
X(71){1,27},{9,3651},{943,226},{1021,513},{1577,649},{2259,1770}
X(72){1,28},{656,513},{1021,649},{1257,72}
X(73){1,29},{822,652},{1021,650}
X(74){1,30},{9,2173},{1021,2631}
X(75){1,31},{661,798},{1215,9},{1580,1755},{1926,1966},{3112,75},{4040,649}
X(76){1,32},{3737,798}
X(77){1,33},{652,657},{1734,650}
X(78){1,34},{652,649}
X(79){1,35}
X(80){1,36},{6,2245},{650,654}
X(81){1,37},{484,2245},{513,661},{1734,656},{1757,2238},{3743,9},{4063,798}
X(82){1,38}
X(83){1,39}
X(84){1,40},{280,84},{281,9},{282,2270},{1854,46}
X(85){1,41}
X(86){1,42},{649,798},{2664,2238},{4040,661}
X(87){1,43},{2162,87},{2309,3216},{3229,2238}
X(88){1,44},{513,1635},{679,88},{1168,2316},{3315,1023}
X(89){1,45},{513,4893}
X(90){1,46},{1858,1715}
X(91){1,47}
X(92){1,48},{656,822},{1955,1755}
X(93){1,49}
X(94){1,50},{3737,2624}
X(95){1,51}
X(96){1,52}
X(97){1,53}
X(98){1,511},{9,1755}
X(99){1,512},{9,798},{43,661},{846,649},{1045,513},{1711,822},{1716,656}
X(100){1,513},{6,661},{9,649},{31,4040},{42,830},{44,1635},{78,3667},{200,3309},{238,2254},{519,3738},{595,3737},{765,100},{1016,3888},{1110,1633},{1252,101},{1449,4813},{1621,1019},{1713,822},{1723,652},{1724,656},{1743,650},{1757,659},{2340,2820},{3681,4063},{3722,1},{3731,4790},{3749,663},{3751,4724},{3811,522},{3870,514},{3935,3887},{3961,512},{3973,4394},{4511,2827},{4512,3803}
X(101){1,514},{2,661},{9,513},{57,650},{59,651},{63,649},{579,656},{672,2254},{1252,100},{1319,3960},{1420,905},{1445,657},{1708,652},{2149,109},{2323,3738},{2324,3667},{2329,830},{2975,1019},{3218,1635},{3305,4813},{3306,4893},{3509,659},{3869,4063},{3928,4394},{3929,4790},{4564,101}
X(102){1,515},{9,2182},{521,3738}
X(103){1,516},{9,910},{3900,2820}
X(104){1,517},{9,2183},{522,2827},{3872,1512}
X(105){1,518},{9,672},{513,2254}
X(106){1,519},{9,44},{649,1635}
X(107){1,520},{9,822},{1745,656}
X(108){1,521},{3,656},{9,652},{610,650},{1490,513},{1765,822}
X(109){1,522},{4,656},{9,650},{19,652},{33,1734},{40,513},{169,657},{212,4040},{516,2254},{517,2849},{573,661},{1766,649},{1830,46},{1870,1769},{2149,101},{3496,3287},{4347,4017}
X(110){1,523},{9,661},{46,656},{191,513},{1744,652},{1759,798},{1761,649},{1781,650},{2245,2610}
X(111){1,524},{9,896},{1019,2642}
X(112){1,525},{9,656},{1726,822},{1762,652},{1763,661}
X(114){1,2065}
X(115){1,249}
X(125){1,250}
X(140){1,1173}
X(141){1,251}
X(142){1,1174}
X(143){1,252}
X(144){3900,649}
X(145){1,3445},{4394,649}
X(149){1,3446}
X(154){1,253}
X(155){1,254},{1800,3},{3193,155}
X(158){1,255},{661,822},{821,158}
X(162){1,656},{19,822},{610,661},{1781,652},{2173,2631},{2939,513}
X(163){1,1577},{19,656},{63,661},{1101,662},{1748,822},{1760,798},{1761,513},{1762,650}
X(164){1,505},{9,168},{188,164},{259,173}
X(165){1,3062},{6,1750},{9,165},{37,1709},{41,1721},{55,1},{71,2947},{210,40},{212,1490},{220,2951},{650,3309},{652,4040},{663,3667},{1212,9},{1334,1742},{1864,46},{2082,1743},{2264,1754},{2293,1699},{2310,1768},{2340,516},{2347,43},{3683,3},{3689,517},{3691,573},{3900,513},{4105,514},{4433,511},{4477,512},{4895,2827}
X(168){9,164}
X(169){2,63},{7,1445},{57,1708},{85,169},{142,9},{226,57},{514,514},{908,3218},{1446,1729},{3119,1768},{3452,3928},{3674,4253},{4077,4369},{4462,4063},{4468,649}
X(170){220,170},{1253,1742}
X(171){1,256},{512,513},{2298,171},{3287,650},{3700,1734},{3745,1}
X(172){1,257}
X(173){1,258},{174,173},{177,57},{259,164}
X(174){1,259}
X(177){1,260}
X(181){1,261}
X(182){1,262}
X(183){1,263}
X(184){1,264}
X(185){1,1105}
X(186){1,265}
X(187){1,671}
X(188){1,266}
X(189){1,198}
X(190){1,649},{2,798},{43,513},{75,4063},{350,812},{899,3768},{978,650},{1714,822},{1722,652},{2664,659},{2999,2484},{3216,661},{3264,3762},{3760,4380},{3875,514},{4360,1019}
X(191){1,267},{10,191},{12,1710},{37,1781},{42,1719},{72,2960},{201,2939},{210,2941},{594,1761},{756,846},{1213,9},{1834,46},{2292,1},{2294,19},{2533,4063},{3122,2640},{3136,1726},{3925,1762},{4024,649},{4037,3509},{4064,522},{4205,1698},{4642,1046},{4854,57}
X(192){1,2162},{667,649}
X(194){1,3224}
X(195){1,3459}
X(196){1,268},{521,652}
X(198){1,189},{947,222},{3239,513},{4091,650}
X(200){1,269},{657,649},{905,513},{3938,1}
X(201){1,270}
X(208){1,271},{3239,652}
X(209){1,272}
X(210){1,1014}
X(212){1,273}
X(213){1,274},{798,513},{1258,213},{4369,650}
X(214){1,1168}
X(216){1,275}
X(217){1,276}
X(218){1,277},{663,905},{1170,218},{1174,55},{3676,650}
X(219){1,278},{652,513}
X(220){1,279},{657,513}
X(221){1,280},{3239,650}
X(222){1,281},{522,650},{947,198}
X(223){1,282},{3,610},{77,223},{521,650},{603,1743},{1040,1490},{1439,57},{4091,657}
X(225){1,283},{661,652}
X(226){1,284},{656,652},{943,71},{3737,650},{4077,514}
X(227){1,285}
X(228){1,286},{1577,513}
X(230){1,2987}
X(232){1,287}
X(233){1,288}
X(236){1,289}
X(237){1,290}
X(238){1,291},{105,238},{292,1575},{659,513},{665,650},{910,1743},{1027,2254},{1279,1},{1914,6},{2223,43},{3290,9},{3675,1054},{3827,46}
X(239){1,292},{291,672},{350,2},{659,649},{726,9},{3226,239}
X(240){1,293}
X(241){1,294},{103,910},{105,2348},{1456,1743},{2254,650},{2820,513}
X(242){1,295},{665,652}
X(243){1,296}
X(244){1,765},{1023,44}
X(248){1,297},{1726,1755}
X(249){1,115}
X(250){1,125}
X(251){1,141}
X(252){1,143}
X(253){1,154}
X(254){1,155}
X(255){1,158},{775,255},{822,661}
X(256){1,171},{650,3287}
X(257){1,172}
X(258){1,173},{1488,258}
X(259){1,174}
X(260){1,177}
X(261){1,181}
X(262){1,182}
X(263){1,183}
X(264){1,184}
X(265){1,186},{1021,2624}
X(266){1,188}
X(267){1,191},{502,267}
X(268){1,196}
X(269){1,200},{649,657},{3309,650}
X(270){1,201}
X(271){1,208}
X(272){1,209}
X(273){1,212},{4040,652}
X(274){1,213},{513,798},{3510,2238}
X(275){1,216}
X(276){1,217}
X(277){1,218}
X(278){1,219},{513,652},{2077,2252}
X(279){1,220},{513,657}
X(280){1,221}
X(281){1,222},{905,652}
X(282){1,223},{222,610},{1071,1763}
X(283){1,225},{652,661}
X(284){1,226},{514,661},{652,656}
X(285){1,227}
X(286){1,228},{1734,822}
X(287){1,232},{46,1755}
X(288){1,233}
X(289){1,236}
X(290){1,237},{43,1755}
X(291){1,238},{6,2238},{513,659}
X(292){1,239},{2,2238},{649,659}
X(293){1,240},{19,1755}
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X(1927){1,1926}
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X(1945){1,1944},{573,851}
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X(4876){1,1429},{650,659},{4383,2238}
X(4893){1,4604},{9,4588},{43,4597},{513,89},{514,2364},{649,2163},{650,2320},{1732,1331},{3306,101},{3576,651},{4604,4893},{4893,1}
X(4905){1292,4905},{2191,3939},{3669,1}
To ETC

Compiled by Peter J C Moses.