## ETC He 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)-He Conjugate of X(k).

Centre  He Conjugates
X(1){1,44},{1,513},{1,649},{1,650},{1,652},{1,654},{1,656},{1,657},{1,659},{1,661},{1,672},{1,770},{1,798},{1,822},{1,851},{1,896},{1,899},{1,910},{1,1155},{1,1491},{1,1575},{1,1635},{1,1755},{1,2173},{1,2182},{1,2183},{1,2225},{1,2227},{1,2228},{1,2229},{1,2230},{1,2231},{1,2232},{1,2233},{1,2234},{1,2235},{1,2236},{1,2237},{1,2238},{1,2239},{1,2240},{1,2243},{1,2244},{1,2245},{1,2246},{1,2247},{1,2252},{1,2253},{1,2254},{1,2265},{1,2272},{1,2290},{1,2312},{1,2313},{1,2314},{1,2315},{1,2348},{1,2483},{1,2484},{1,2503},{1,2509},{1,2511},{1,2515},{1,2516},{1,2522},{1,2526},{1,2578},{1,2579},{1,2590},{1,2591},{1,2600},{1,2610},{1,2624},{1,2630},{1,2631},{1,2635},{1,2637},{1,2641},{1,2642},{1,3000},{1,3013},{1,3287},{1,3330},{1,3768},{1,4394},{1,4724},{1,4782},{1,4784},{1,4790},{1,4813},{1,4893},{2,1757},{3,2655},{4,1758},{6,2664},{19,1580},{57,238},{63,1955},{87,239},{88,1},{90,1936},{100,1},{105,1743},{162,1},{190,1},{239,2108},{241,1282},{291,9},{292,43},{293,610},{294,165},{296,1745},{651,1},{653,1},{655,1},{658,1},{660,1},{662,1},{673,1},{771,1},{799,1},{823,1},{897,1},{1018,3571},{1156,1},{1247,2651},{1248,2659},{1280,3973},{1492,1},{1581,63},{1821,1},{1910,1707},{1929,6},{1937,46},{1956,19},{1967,1740},{2107,1045},{2111,291},{2184,240},{2349,1},{2580,1},{2581,1},{2603,3460},{2608,3737},{2648,3},{2652,1046},{2656,4},{2660,1047},{2665,2},{3062,241},{3223,1966},{3257,1},{3362,243},{3461,2602},{4551,2607},{4598,1},{4599,1},{4604,1},{4606,1},{4607,1}
X(2){81,2238},{86,798},{86,1019},{86,2669},{99,2},{799,2},{2665,1},{4573,2},{4589,2},{4610,2},{4615,2},{4632,2},{4633,2},{4635,2}
X(3){21,661},{21,1021},{21,2651},{29,851},{333,511},{643,3},{645,3},{648,3},{662,3},{931,3},{2648,1},{4573,3},{4603,3},{4612,3},{4631,3}
X(4){21,851},{29,822},{29,1021},{29,2659},{648,4},{823,4},{2656,1}
X(5){3615,2624}
X(6){27,3002},{81,661},{81,1019},{81,1931},{86,2238},{99,6},{662,6},{741,3216},{1414,6},{1929,1},{4584,6},{4596,6},{4614,6},{4616,6},{4622,6},{4623,6}
X(9){1,1757},{2,239},{2,514},{2,649},{2,1019},{2,1021},{2,3218},{2,3798},{2,4025},{2,4063},{2,4091},{2,4107},{2,4498},{2,4560},{2,4707},{2,4750},{2,4765},{2,4786},{2,4932},{2,4960},{4,1756},{7,672},{8,516},{14,3179},{75,3509},{98,46},{99,9},{190,9},{287,1763},{290,9},{291,1},{335,63},{648,9},{664,9},{666,9},{668,9},{670,9},{671,9},{673,57},{694,43},{886,9},{889,9},{892,9},{903,9},{1121,9},{1494,9},{1916,1759},{1952,19},{1972,1726},{2479,9},{2480,9},{2481,9},{2966,9},{3225,9},{3226,9},{3227,9},{3228,9},{4555,9},{4562,9},{4569,9},{4577,9},{4586,9},{4597,9}
X(15){81,16}
X(16){81,15}
X(19){75,1755},{92,822},{92,1577},{158,1733},{811,19},{823,19},{1821,63},{1952,9},{1956,1}
X(20){645,20},{799,20},{1043,798}
X(30){100,2772},{3699,2783}
X(31){3112,2236},{4593,31},{4599,31}
X(36){104,2316},{104,3738},{2699,3737},{2726,513}
X(37){4596,37}
X(39){4594,39},{4603,39}
X(40){2,516},{8,649},{8,3239},{8,3667},{8,4120},{190,40},{645,40},{646,40},{3699,40},{4518,1766},{4554,40},{4582,40},{4621,40},{4633,40},{4876,165}
X(43){1,2664},{6,36},{6,238},{6,513},{6,667},{6,859},{6,905},{6,1019},{6,1756},{6,2530},{6,3220},{6,3286},{6,3733},{6,3737},{6,3803},{6,4040},{6,4057},{6,4164},{6,4455},{6,4481},{6,4491},{6,4833},{6,4840},{6,4905},{31,3510},{74,43},{98,43},{99,43},{100,43},{101,43},{102,43},{103,43},{104,43},{105,43},{106,43},{107,43},{108,43},{109,43},{110,43},{111,43},{112,43},{248,1745},{292,1},{476,43},{477,43},{675,43},{681,43},{689,43},{691,43},{694,9},{697,43},{699,43},{701,43},{703,43},{705,43},{707,43},{709,43},{711,43},{713,43},{715,43},{717,43},{719,43},{721,43},{723,43},{725,43},{727,43},{729,43},{731,43},{733,43},{735,43},{737,43},{739,43},{741,43},{743,43},{745,43},{747,43},{753,43},{755,43},{759,43},{761,43},{767,43},{769,43},{773,43},{777,43},{779,43},{781,43},{783,43},{785,43},{787,43},{789,43},{791,43},{793,43},{795,43},{797,43},{803,43},{805,43},{807,43},{809,43},{813,43},{815,43},{817,43},{819,43},{825,43},{827,43},{831,43},{833,43},{835,43},{839,43},{840,43},{841,43},{842,43},{843,43},{898,43},{901,43},{907,43},{915,43},{917,43},{919,43},{925,43},{927,43},{929,43},{930,43},{931,43},{932,43},{933,43},{934,43},{935,43},{953,43},{972,43},{1113,43},{1114,43},{1141,43},{1286,43},{1287,43},{1288,43},{1289,43},{1290,43},{1291,43},{1292,43},{1293,43},{1294,43},{1295,43},{1296,43},{1297,43},{1298,43},{1299,43},{1300,43},{1301,43},{1302,43},{1303,43},{1304,43},{1305,43},{1306,43},{1307,43},{1308,43},{1309,43},{1310,43},{1311,43},{1379,43},{1380,43},{1381,43},{1382,43},{1438,978},{1477,43},{1911,1740},{1914,2108},{1945,1707},{1976,1716},{1987,46},{2054,1045},{2111,2665},{2162,1575},{2195,1742},{2222,43},{2249,43},{2291,43},{2365,43},{2366,43},{2367,43},{2368,43},{2369,43},{2370,43},{2371,43},{2372,43},{2373,43},{2374,43},{2375,43},{2376,43},{2377,43},{2378,43},{2379,43},{2380,43},{2381,43},{2382,43},{2383,43},{2384,43},{2687,43},{2688,43},{2689,43},{2690,43},{2691,43},{2692,43},{2693,43},{2694,43},{2695,43},{2696,43},{2697,43},{2698,43},{2699,43},{2700,43},{2701,43},{2702,43},{2703,43},{2704,43},{2705,43},{2706,43},{2707,43},{2708,43},{2709,43},{2710,43},{2711,43},{2712,43},{2713,43},{2714,43},{2715,43},{2716,43},{2717,43},{2718,43},{2719,43},{2720,43},{2721,43},{2722,43},{2723,43},{2724,43},{2725,43},{2726,43},{2727,43},{2728,43},{2729,43},{2730,43},{2731,43},{2732,43},{2733,43},{2734,43},{2735,43},{2736,43},{2737,43},{2738,43},{2739,43},{2740,43},{2741,43},{2742,43},{2743,43},{2744,43},{2745,43},{2746,43},{2747,43},{2748,43},{2749,43},{2750,43},{2751,43},{2752,43},{2753,43},{2754,43},{2755,43},{2756,43},{2757,43},{2758,43},{2759,43},{2760,43},{2761,43},{2762,43},{2763,43},{2764,43},{2765,43},{2766,43},{2767,43},{2768,43},{2769,43},{2770,43},{2855,43},{2856,43},{2857,43},{2858,43},{2859,43},{2860,43},{2861,43},{2862,43},{2863,43},{2864,43},{2865,43},{2866,43},{2867,43},{2868,43},{3067,43},{3222,43},{3563,43},{3565,43},{3659,43},{4588,43}
X(44){88,88},{88,1022},{88,1635},{88,3960},{651,2246},{660,899},{679,44},{1156,2254},{3257,44},{4555,44},{4618,44},{4622,44},{4634,44}
X(46){1,1758},{2,1756},{4,243},{4,522},{4,652},{4,1021},{4,1731},{4,1776},{4,3064},{98,9},{107,46},{278,1738},{648,46},{653,46},{685,46},{687,46},{1897,46},{1937,1},{1942,1745},{1987,43},{2652,1247}
X(57){2,672},{7,514},{7,657},{87,1757},{279,3008},{658,57},{664,57},{673,9},{927,57},{4554,57},{4573,57},{4624,57}
X(63){2,3509},{75,798},{75,812},{75,1577},{75,1966},{75,3405},{75,4063},{92,1755},{334,1759},{335,9},{668,63},{789,63},{799,63},{811,63},{1581,1},{1821,19},{1934,1760},{1978,63},{2481,169},{4554,63},{4583,63},{4593,63},{4602,63}
X(75){82,2236},{4593,75}
X(81){4596,81},{4632,81}
X(84){280,3239}
X(87){6,1575},{57,2664},{292,1743},{932,87},{2162,667}
X(88){679,1022},{4618,88}
X(90){3362,1758}
X(92){2167,2313}
X(100){765,1023},{1016,1026},{4567,3573}
X(101){4564,1025}
X(105){1280,2348}
X(147){799,147}
X(155){662,155},{3193,661}
X(159){662,159}
X(165){9,30},{9,511},{9,512},{9,513},{9,514},{9,515},{9,516},{9,517},{9,518},{9,519},{9,520},{9,521},{9,522},{9,523},{9,524},{9,525},{9,526},{9,527},{9,528},{9,529},{9,530},{9,531},{9,532},{9,533},{9,534},{9,535},{9,536},{9,537},{9,538},{9,539},{9,540},{9,541},{9,542},{9,543},{9,544},{9,545},{9,674},{9,680},{9,688},{9,690},{9,696},{9,698},{9,700},{9,702},{9,704},{9,706},{9,708},{9,710},{9,712},{9,714},{9,716},{9,718},{9,720},{9,722},{9,724},{9,726},{9,730},{9,732},{9,734},{9,736},{9,740},{9,742},{9,744},{9,746},{9,752},{9,754},{9,758},{9,760},{9,766},{9,768},{9,772},{9,776},{9,778},{9,780},{9,782},{9,784},{9,786},{9,788},{9,790},{9,792},{9,794},{9,796},{9,802},{9,804},{9,806},{9,808},{9,812},{9,814},{9,816},{9,818},{9,824},{9,826},{9,830},{9,832},{9,834},{9,838},{9,888},{9,891},{9,900},{9,912},{9,916},{9,918},{9,924},{9,926},{9,928},{9,952},{9,971},{9,1154},{9,1499},{9,1503},{9,1510},{9,1912},{9,1938},{9,2385},{9,2386},{9,2387},{9,2388},{9,2389},{9,2390},{9,2391},{9,2392},{9,2393},{9,2574},{9,2575},{9,2771},{9,2772},{9,2773},{9,2774},{9,2775},{9,2776},{9,2777},{9,2778},{9,2779},{9,2780},{9,2781},{9,2782},{9,2783},{9,2784},{9,2785},{9,2786},{9,2787},{9,2788},{9,2789},{9,2790},{9,2791},{9,2792},{9,2793},{9,2794},{9,2795},{9,2796},{9,2797},{9,2798},{9,2799},{9,2800},{9,2801},{9,2802},{9,2803},{9,2804},{9,2805},{9,2806},{9,2807},{9,2808},{9,2809},{9,2810},{9,2811},{9,2812},{9,2813},{9,2814},{9,2815},{9,2816},{9,2817},{9,2818},{9,2819},{9,2820},{9,2821},{9,2822},{9,2823},{9,2824},{9,2825},{9,2826},{9,2827},{9,2828},{9,2829},{9,2830},{9,2831},{9,2832},{9,2833},{9,2834},{9,2835},{9,2836},{9,2837},{9,2838},{9,2839},{9,2840},{9,2841},{9,2842},{9,2843},{9,2844},{9,2845},{9,2846},{9,2847},{9,2848},{9,2849},{9,2850},{9,2851},{9,2852},{9,2853},{9,2854},{9,2869},{9,2870},{9,2871},{9,2872},{9,2873},{9,2874},{9,2875},{9,2876},{9,2877},{9,2878},{9,2879},{9,2880},{9,2881},{9,2882},{9,3221},{9,3307},{9,3308},{9,3309},{9,3413},{9,3414},{9,3564},{9,3566},{9,3667},{9,3738},{9,3800},{9,3805},{9,3808},{9,3810},{9,3827},{9,3849},{9,3852},{9,3880},{9,3887},{9,3900},{9,3906},{9,3907},{9,3910},{9,4083},{9,4132},{9,4139},{9,4145},{9,4151},{9,4155},{9,4160},{9,4715},{9,4725},{9,4762},{9,4777},{9,4778},{9,4785},{9,4802},{9,4843},{9,4844},{9,4912},{9,4926},{9,4943},{9,4961},{9,4962},{9,4964},{100,165},{294,1},{643,165},{644,165},{664,165},{1120,165},{1280,165},{1320,165},{1897,165},{3693,1282},{3699,165},{3903,165},{4614,165},{4876,40}
X(169){85,4369},{330,3509},{2481,63},{4554,169},{4569,169},{4572,169},{4625,169}
X(170){100,170},{220,513},{677,170},{3939,170},{4578,170}
X(171){2298,830}
X(174){658,174}
X(188){190,188}
X(191){10,522},{10,649},{10,3509},{10,4024},{10,4581},{190,191},{335,191},{835,191},{1897,191},{1978,191},{3952,191},{4033,191},{4080,191},{4552,191},{4613,191},{4624,191},{4632,191},{4639,191}
X(194){799,194},{3222,194},{4594,194}
X(195){662,195}
X(223){77,657},{77,4091},{658,223},{1414,223},{1814,610}
X(238){1,1743},{57,1},{105,294},{105,1027},{105,2254},{666,238},{673,291},{2711,3737}
X(239){87,1}
X(240){2184,1}
X(241){3062,1}
X(243){3362,1}
X(259){651,259}
X(266){651,266}
X(267){502,4024}
X(291){105,672},{673,238},{2111,1}
X(292){3226,1575}
X(365){100,365}
X(366){190,366}
X(368){799,368}
X(371){162,371}
X(372){162,372}
X(386){931,386}
X(399){662,399}
X(411){4610,411},{4612,411}
X(484){80,654},{80,900},{80,2161},{80,2250},{655,484}
X(487){799,487}
X(488){799,488}
X(503){3659,503}
X(509){651,509}
X(511){21,573},{100,2784},{333,3},{4584,511}
X(512){100,2786}
X(513){99,4455},{100,100},{100,101},{100,644},{100,1018},{100,1023},{100,1026},{100,1635},{100,3573},{100,3799},{100,3887},{100,4587},{100,4752},{190,659},{644,2820},{651,2254},{660,649},{664,926},{666,513},{765,513},{813,4040},{898,513},{1016,513},{1120,2810},{1156,2246},{1275,513},{1280,2809},{1320,2801},{1897,928},{2703,3737},{2726,36},{3257,513},{3699,2821},{3903,2786},{4564,513},{4567,513},{4584,513},{4601,513},{4618,3251}
X(514){100,926},{651,665},{660,667},{664,1025},{664,4763},{666,649},{927,657},{932,659},{1275,514},{4620,514}
X(515){100,2807}
X(516){2,40},{8,9},{100,2808},{666,516}
X(517){100,2801},{1320,1635},{1320,2827},{3257,517},{4582,517}
X(518){1,3973},{100,2809}
X(519){100,2810}
X(520){100,2811}
X(521){100,2812}
X(522){100,928}
X(523){100,2774}
X(524){100,2813}
X(544){100,674}
X(572){4612,572}
X(573){21,511},{99,573},{333,1019},{333,1577},{333,4369},{645,573},{811,573},{4594,573},{4625,573}
X(579){27,1021},{27,1577},{81,3002},{648,579},{811,579}
X(610){1,1955},{63,514},{63,661},{63,693},{63,857},{63,908},{63,914},{63,1577},{63,1959},{63,2084},{63,2582},{63,2583},{63,3239},{63,3250},{63,3762},{63,3766},{63,3835},{63,3904},{63,3912},{63,3936},{63,3948},{63,4129},{63,4358},{63,4391},{63,4462},{63,4468},{63,4486},{63,4728},{63,4766},{63,4776},{63,4789},{63,4791},{63,4801},{63,4823},{293,1},{295,1745},{336,610},{662,610},{664,610},{811,610},{1310,610},{1332,610},{1814,223},{4561,610},{4592,610}
X(616){799,616}
X(617){799,617}
X(627){799,627}
X(628){799,628}
X(649){100,659},{190,190},{190,646},{190,668},{190,812},{190,874},{190,1018},{190,3732},{190,3762},{190,3768},{190,3882},{190,4033},{190,4505},{190,4595},{648,4707},{660,513},{666,514},{1016,649},{4555,649},{4562,4063},{4589,649},{4600,649},{4607,649}
X(650){88,2246},{100,2254},{651,101},{651,651},{651,934},{651,1020},{651,1461},{651,1813},{651,3960},{664,665},{927,650},{4564,650}
X(652){653,653},{653,1020},{653,2637}
X(654){655,655}
X(656){162,162},{162,163},{162,2631},{897,2247}
X(657){658,658},{658,3732},{927,514},{1275,657}
X(659){88,899},{100,649},{190,513},{660,660},{660,1026},{660,3572},{664,667},{932,514},{4584,876},{4589,875}
X(661){662,163},{662,662},{662,2642},{662,3882},{662,4556},{662,4585},{662,4592},{662,4612},{2349,2247},{4567,661},{4584,1019},{4600,661},{4622,661}
X(665){651,514},{660,1027},{664,650}
X(667){660,514},{664,659},{932,3888}
X(672){2,57},{7,9},{105,291},{239,2111},{666,672},{673,673},{673,812},{673,1024},{927,672}
X(674){100,544}
X(770){771,771}
X(798){799,799},{799,4602},{4589,1019},{4601,798},{4634,798}
X(812){4554,4063}
X(822){823,823}
X(846){37,484},{37,513},{37,1734},{37,1757},{37,4063},{37,4705},{37,4834},{80,846},{100,846},{291,846},{668,846},{1018,846},{1783,846},{3952,846},{4551,846},{4566,846},{4589,846},{4596,846},{4674,846}
X(851){21,4},{29,3},{296,2656},{1937,2648}
X(875){100,4375},{4589,659}
X(876){4584,659}
X(896){162,2247},{897,897},{897,2642}
X(899){88,659},{660,44},{898,899},{4607,899}
X(905){934,651},{1275,905}
X(910){9,3062}
X(920){92,1733},{158,822},{681,920},{823,920}
X(926){100,514},{664,513}
X(928){100,522},{1897,513}
X(940){4614,940},{4633,940}
X(978){56,650},{109,978},{651,978},{1438,43},{1461,978},{1462,978},{4565,978},{4573,978},{4617,978}
X(1018){765,1026},{1016,3570}
X(1019){99,645},{99,3570},{99,3882},{99,4594},{99,4603},{100,4455},{805,3737},{892,1019},{2966,1021},{4584,661},{4589,798},{4590,1019},{4600,1019},{4601,1019},{4615,1019},{4620,1019}
X(1021){190,4707},{648,1981},{2966,1019}
X(1022){100,3251},{4618,3257}
X(1023){88,2087}
X(1026){765,1018},{898,1635},{1016,100}
X(1027){651,3126},{660,665},{666,2254}
X(1044){1301,1044}
X(1045){42,649},{42,2664},{42,4040},{42,4401},{101,1045},{190,1045},{292,1045},{1018,1045},{1020,1045},{2054,43},{2107,1},{2161,1045},{2250,1045},{4557,1045},{4559,1045},{4584,1045},{4628,1045},{4629,1045}
X(1046){65,650},{65,1758},{108,1046},{651,1046},{1020,1046},{1937,1046},{2006,1046},{2652,1},{4551,1046},{4552,1046},{4554,1046}
X(1047){73,652},{73,2655},{109,1047},{296,1047},{653,1047},{1020,1047},{1813,1047},{2660,1}
X(1048){655,1048},{1020,1048},{2594,654},{2597,1048}
X(1050){190,1050},{1201,649},{1293,1050},{1461,1050},{4591,1050}
X(1051){100,1051},{1100,513},{1929,1051},{3065,1051},{4427,1051}
X(1052){244,1054},{244,1635},{244,2832},{513,1052},{514,1052},{876,1052},{1019,1052},{1022,1052},{1027,1052},{1308,1052},{3257,1052},{3669,1052},{4562,1052}
X(1053){513,1053},{522,1053},{650,1053},{1024,1053},{2170,1054},{2170,1768},{2170,2254},{2170,2827},{2222,1053},{3676,1053},{3737,1053}
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X(3973){1,518},{294,3062},{1280,1}
X(4040){59,4040},{101,100},{101,109},{101,651},{101,1025},{101,1331},{101,2254},{101,3738},{101,3882},{101,3888},{101,3909},{101,3939},{101,4551},{101,4579},{677,4040},{765,4040},{813,513},{901,4040},{1252,4040},{2702,3737},{4570,4040},{4600,4040}
X(4063){668,190},{668,4598},{889,4063},{4554,812},{4562,649},{4601,4063},{4639,4063}
X(4166){100,4166}
X(4192){4603,4192}
X(4253){1434,4369},{4573,4253},{4616,4253},{4625,4253}
X(4375){100,875}
X(4383){1414,4383},{4573,4383},{4637,4383}
X(4384){789,4384},{870,4817}
X(4447){1222,1376}
X(4455){99,513},{100,1019}
X(4551){59,1983},{4619,4551}
X(4707){190,1021},{648,649},{1494,3218}
X(4790){4606,4606}
X(4893){4604,4604}
X(4905){1292,3939},{2704,3737}
To ETC

Compiled by Peter J C Moses.