X(100), X(102) complete combos [by Peter Moses]

X(100)  ANTICOMPLEMENT OF FEUERBACH POINT

Trilinears    1/(b - c) : :
Trilinears    (a - b)(a - c) : :
Barycentrics   a*(a - b)*(a - c) : :
Barycentrics  a/(b - c) : :
Tripolars    |b - c| : :
X(100) = 2R*X(1) - 3R*X(2) + 2r*X(3), 3 X[1] - X[12653], X[1] - 3 X[15015], 4 X[214] - X[1320], 2 X[214] + X[5541], 6 X[214] - X[12653], 2 X[214] - 3 X[15015], 2 X[1054] - 3 X[14193], X[1320] + 2 X[5541], 3 X[1320] - 2 X[12653], X[1320] - 6 X[15015], 3 X[5541] + X[12653], X[5541] + 3 X[15015], 3 X[10087] - 2 X[25439], X[12653] - 9 X[15015], 3 X[13278] - 4 X[25439], X[13279] - 4 X[25440], 3 X[2] - 4 X[3035], 3 X[2] + 2 X[6154], 9 X[2] - 8 X[6667], 3 X[2] + X[20095], 9 X[2] - 10 X[31235], 6 X[2] - 5 X[31272], 3 X[2] - 8 X[35023], 5 X[2] - 4 X[45310], X[11] - 3 X[6174], 3 X[11] - 4 X[6667], 4 X[11] - 3 X[10707], 2 X[11] + X[20095], 3 X[11] - 5 X[31235], 4 X[11] - 5 X[31272], X[11] - 4 X[35023], 5 X[11] - 6 X[45310], X[149] - 4 X[3035], X[149] + 2 X[6154], X[149] - 6 X[6174], 3 X[149] - 8 X[6667], 2 X[149] - 3 X[10707], 3 X[149] - 10 X[31235], 2 X[149] - 5 X[31272], X[149] - 8 X[35023], 5 X[149] - 12 X[45310], 2 X[3035] + X[6154], 2 X[3035] - 3 X[6174], 3 X[3035] - 2 X[6667], 8 X[3035] - 3 X[10707], 4 X[3035] + X[20095], 6 X[3035] - 5 X[31235], 8 X[3035] - 5 X[31272], 5 X[3035] - 3 X[45310], 3 X[4421] - X[13205], X[6154] + 3 X[6174], 3 X[6154] + 4 X[6667], 4 X[6154] + 3 X[10707], 3 X[6154] + 5 X[31235], 4 X[6154] + 5 X[31272], X[6154] + 4 X[35023], 5 X[6154] + 6 X[45310], 9 X[6174] - 4 X[6667], 4 X[6174] - X[10707], 6 X[6174] + X[20095], 9 X[6174] - 5 X[31235], 12 X[6174] - 5 X[31272], 3 X[6174] - 4 X[35023], 5 X[6174] - 2 X[45310], 16 X[6667] - 9 X[10707], 8 X[6667] + 3 X[20095], 4 X[6667] - 5 X[31235], 16 X[6667] - 15 X[31272], X[6667] - 3 X[35023], 10 X[6667] - 9 X[45310], 3 X[10707] + 2 X[20095], 9 X[10707] - 20 X[31235], 3 X[10707] - 5 X[31272], 3 X[10707] - 16 X[35023], 5 X[10707] - 8 X[45310], 3 X[20095] + 10 X[31235], 2 X[20095] + 5 X[31272], X[20095] + 8 X[35023], 5 X[20095] + 12 X[45310], 4 X[31235] - 3 X[31272], 5 X[31235] - 12 X[35023], 25 X[31235] - 18 X[45310], 5 X[31272] - 16 X[35023], 25 X[31272] - 24 X[45310], 10 X[35023] - 3 X[45310], 5 X[40333] - 3 X[45043], 3 X[3] - X[12773], 2 X[3] - 3 X[34474], 3 X[3] - 2 X[38602], 5 X[3] + 4 X[38629], 13 X[3] - 4 X[38631], 5 X[3] - 9 X[38636], 13 X[3] - 9 X[38637], 2 X[3] + X[38665], 4 X[3] - X[38669], 4 X[3] - 3 X[38693], X[8] + 4 X[9945], X[8] + 2 X[10609], X[104] + 2 X[12331], 3 X[104] - 2 X[12773], X[104] - 4 X[33814], X[104] - 3 X[34474], 3 X[104] - 4 X[38602], 5 X[104] + 8 X[38629], 13 X[104] - 8 X[38631], 5 X[104] - 18 X[38636], 13 X[104] - 18 X[38637], 2 X[104] - 3 X[38693], 2 X[1145] + X[6224], X[1145] + 2 X[9945], 4 X[1145] - X[12531], 3 X[5657] - X[12247], X[6224] - 4 X[9945], 2 X[6224] + X[12531], 8 X[9945] + X[12531], 4 X[10609] + X[12531], 3 X[12331] + X[12773], X[12331] + 2 X[33814], 2 X[12331] + 3 X[34474], 3 X[12331] + 2 X[38602], 5 X[12331] - 4 X[38629], 13 X[12331] + 4 X[38631], 5 X[12331] + 9 X[38636], 13 X[12331] + 9 X[38637], 4 X[12331] + X[38669], 4 X[12331] + 3 X[38693], X[12773] - 6 X[33814], 2 X[12773] - 9 X[34474], 5 X[12773] + 12 X[38629], 13 X[12773] - 12 X[38631], 5 X[12773] - 27 X[38636], 13 X[12773] - 27 X[38637], 2 X[12773] + 3 X[38665], 4 X[12773] - 3 X[38669], 4 X[12773] - 9 X[38693], 4 X[33814] - 3 X[34474], 3 X[33814] - X[38602], 5 X[33814] + 2 X[38629], 13 X[33814] - 2 X[38631], 10 X[33814] - 9 X[38636], 26 X[33814] - 9 X[38637], 4 X[33814] + X[38665], 8 X[33814] - X[38669], 8 X[33814] - 3 X[38693], 9 X[34474] - 4 X[38602], 15 X[34474] + 8 X[38629], 39 X[34474] - 8 X[38631], 5 X[34474] - 6 X[38636], 13 X[34474] - 6 X[38637], 3 X[34474] + X[38665], 6 X[34474] - X[38669], 5 X[38602] + 6 X[38629], 13 X[38602] - 6 X[38631], 10 X[38602] - 27 X[38636], 26 X[38602] - 27 X[38637], 4 X[38602] + 3 X[38665], 8 X[38602] - 3 X[38669], 8 X[38602] - 9 X[38693], 13 X[38629] + 5 X[38631], 4 X[38629] + 9 X[38636], 52 X[38629] + 45 X[38637], 8 X[38629] - 5 X[38665], 16 X[38629] + 5 X[38669], 16 X[38629] + 15 X[38693], 20 X[38631] - 117 X[38636], 4 X[38631] - 9 X[38637], 8 X[38631] + 13 X[38665], 16 X[38631] - 13 X[38669], 16 X[38631] - 39 X[38693], 13 X[38636] - 5 X[38637], 18 X[38636] + 5 X[38665], 36 X[38636] - 5 X[38669], 12 X[38636] - 5 X[38693], 18 X[38637] + 13 X[38665], 36 X[38637] - 13 X[38669], 12 X[38637] - 13 X[38693], 2 X[38665] + X[38669], 2 X[38665] + 3 X[38693], X[38669] - 3 X[38693], X[4] + 2 X[10993], 4 X[119] - X[10724], 2 X[119] + X[13199], X[10724] + 4 X[10993], X[10724] + 2 X[13199], 2 X[5] - 3 X[38752], X[10738] - 3 X[38752], X[1156] + 2 X[5528], X[1156] - 4 X[6594], X[5528] + 2 X[6594], 3 X[35258] - 2 X[41166], 4 X[10] + X[9963], 3 X[21] - 2 X[46816], 2 X[80] + X[9963], 3 X[35204] - X[46816], X[20] + 2 X[37725], X[153] + 2 X[24466], 3 X[10711] - X[10728], 3 X[10711] - 2 X[10742], 3 X[10711] - 4 X[11698], X[10728] - 4 X[11698], 2 X[36] - 3 X[13587], 3 X[4954] + 2 X[32919], 2 X[7972] - 3 X[10031], 3 X[10031] - 4 X[33337], X[145] + 2 X[13996], 2 X[3243] - 3 X[14151], 3 X[3873] - 4 X[5083], 3 X[165] - X[1768], 3 X[165] + X[5531], 6 X[165] - X[13243], 3 X[165] - 2 X[46684], 3 X[3681] - 4 X[14740], 3 X[3681] - 2 X[46685], 2 X[5531] + X[13243], X[5531] + 2 X[46684], X[13243] - 4 X[46684], 2 X[3579] + X[12738], 3 X[1635] - X[38325], 4 X[140] - 5 X[38762], 2 X[1484] - 5 X[38762], 3 X[9778] + X[9809], 3 X[9778] + 2 X[13257], 3 X[376] - X[12248], 3 X[376] - 2 X[38761], 3 X[381] - 2 X[22938], X[382] - 3 X[38755], 2 X[22799] - 3 X[38755], 7 X[9780] - 4 X[12019], 7 X[9780] - 2 X[12690], 7 X[9780] - 6 X[34122], 2 X[12019] - 3 X[34122], X[12690] - 3 X[34122], 4 X[1387] - 5 X[3616], 4 X[1387] - X[9802], 2 X[1387] + X[12732], 2 X[1387] - 3 X[34123], 5 X[3616] - X[9802], 5 X[3616] + 2 X[12732], 5 X[3616] - 6 X[34123], X[9802] + 2 X[12732], X[9802] - 6 X[34123], X[12732] + 3 X[34123], 3 X[765] - X[3257], 2 X[3257] - 3 X[6163], X[3257] - 6 X[46973], X[6163] - 4 X[46973], X[5057] - 4 X[6745], 2 X[5537] + X[36002], 3 X[5660] - 2 X[21635], 3 X[5660] - X[34789], X[10698] - 4 X[22935], 2 X[1155] + X[3935], X[3218] + 2 X[3689], 2 X[15326] - 3 X[36004], X[20067] - 3 X[36004], 2 X[4316] - 3 X[36005], 4 X[548] - 3 X[38754], 5 X[631] - 4 X[6713], 5 X[631] - 2 X[37726], 5 X[631] - 6 X[38760], 2 X[6713] - 3 X[38760], X[37726] - 3 X[38760], 4 X[3036] - 5 X[3617], 4 X[3036] - X[20085], 5 X[3617] - X[20085], 3 X[3679] - X[9897], 3 X[3679] - 2 X[15863], 3 X[3877] - 2 X[12758], 3 X[3241] - 4 X[12735], 3 X[3241] - 2 X[25416], 2 X[12619] - 3 X[26446], 4 X[1125] - 3 X[16173], 3 X[16173] - 2 X[21630], 2 X[1319] - 3 X[4881], 3 X[4881] - X[38460], 5 X[3890] - 4 X[15558], 5 X[1698] - 4 X[6702], 5 X[1698] - 3 X[37718], 4 X[6702] - 3 X[37718], 3 X[1699] - 5 X[15017], 4 X[3025] + X[31877], 7 X[3090] - 6 X[23513], 7 X[3090] - 10 X[38763], 3 X[23513] - 5 X[38763], 5 X[3091] - 8 X[20400], X[3146] - 4 X[38757], X[26726] - 4 X[33812], 5 X[3522] - 4 X[38759], 7 X[3523] - 4 X[20418], 7 X[3523] - 6 X[21154], 2 X[20418] - 3 X[21154], 7 X[3526] - 6 X[34126], 3 X[3576] - X[6264], 3 X[3576] - 2 X[11715], 3 X[3582] - 4 X[6681], 2 X[3583] - 3 X[37375], 4 X[3814] - 3 X[37375], 7 X[3624] - 6 X[32557], 3 X[3753] - 2 X[6797], 7 X[3832] - 12 X[38758], 7 X[3851] - 6 X[38141], 5 X[3876] - 4 X[18254], 3 X[4661] + 2 X[27778], 5 X[7987] - X[7993], 2 X[4973] - 3 X[5131], 13 X[5067] - 12 X[38319], 2 X[5126] - 3 X[35271], 2 X[5427] - 3 X[27086], 11 X[5550] - 9 X[32558], 3 X[5587] - 2 X[6246], 3 X[5603] - 4 X[11729], 3 X[5790] - X[12747], 7 X[7989] - 6 X[38161], 3 X[8027] - 4 X[38018], 5 X[8227] - 4 X[16174], 4 X[10006] - 5 X[31209], X[14511] - 3 X[38707], 7 X[15702] - 6 X[38069], 7 X[15703] - 6 X[38084], 5 X[19862] - 4 X[33709], 7 X[19876] - 6 X[38104], 7 X[31423] - 6 X[38133], 3 X[38711] - 2 X[46636]

Let L_A be the reflection of the line X(1)X(3) in line BC, and define L_B and L_C cyclically. Let A' = L_B∩L_C, B' = L_C∩L_A, C' = L_A∩L_B. The lines AA', BB', CC' concur in X(100). (Randy Hutson, 9/23/2011)

Let Ia be the reflection of X(1) in the perpendicular bisector of BC, and define Ib and Ic cyclically; then X(100) = X(36)-of-IaIbIc. Also, let P be a point on line X(4)X(8) other than X(4). Let A' be the reflection of P in BC, and define B' and C' cyclically. The circumcircles of AB'C', BC'A', and CA'B' concur at X(100). (Randy Hutson, 9/5/2015)

Let IaIbIc be the excentral triangle. The Euler lines of triangles BCIa, CAIb, ABIc concur in X(100). (Randy Hutson, June 27, 2018)

X(100) lies on the circumcircle, the circumcopnic with center X(9), the incircle of anticomplementary triangle, the cubics K299, K603, K661, K662, K817, K889, K1122, and these lines: {1, 88}, {2, 11}, {3, 8}, {4, 119}, {5, 10738}, {6, 739}, {7, 1004}, {9, 1005}, {10, 21}, {12, 2475}, {19, 7466}, {20, 153}, {22, 197}, {23, 2752}, {25, 1862}, {28, 5174}, {30, 2687}, {31, 43}, {32, 713}, {33, 35973}, {34, 35974}, {36, 519}, {37, 111}, {38, 3961}, {39, 32454}, {40, 78}, {41, 3501}, {42, 81}, {44, 2384}, {45, 9330}, {46, 224}, {56, 145}, {57, 1280}, {58, 3293}, {59, 521}, {63, 103}, {65, 12739}, {69, 5848}, {71, 2249}, {72, 74}, {75, 675}, {76, 767}, {79, 35982}, {85, 2369}, {86, 29822}, {89, 39428}, {92, 917}, {98, 228}, {99, 668}, {101, 644}, {107, 823}, {108, 653}, {109, 651}, {110, 643}, {112, 162}, {113, 10767}, {114, 10768}, {115, 10769}, {116, 10770}, {117, 10771}, {118, 10772}, {121, 10774}, {122, 10775}, {123, 10776}, {124, 10777}, {125, 10778}, {126, 10779}, {127, 10780}, {140, 1484}, {141, 33086}, {142, 2346}, {144, 480}, {146, 12327}, {147, 12178}, {148, 13173}, {169, 25082}, {172, 20691}, {182, 12199}, {183, 4441}, {184, 3045}, {187, 5291}, {189, 35987}, {190, 659}, {191, 3678}, {192, 9082}, {194, 12338}, {198, 346}, {199, 3969}, {209, 40571}, {210, 3219}, {212, 25308}, {213, 729}, {219, 23707}, {226, 3256}, {227, 4296}, {229, 3178}, {230, 17737}, {238, 899}, {239, 2223}, {242, 35993}, {260, 7588}, {274, 2368}, {278, 2376}, {279, 2377}, {281, 1013}, {283, 35995}, {286, 39438}, {292, 3121}, {294, 6184}, {306, 1817}, {312, 1311}, {313, 37219}, {314, 40600}, {318, 7412}, {319, 1444}, {322, 17134}, {325, 2856}, {329, 972}, {333, 4184}, {341, 2370}, {344, 1486}, {350, 9073}, {354, 3957}, {355, 6906}, {371, 19082}, {372, 19081}, {376, 3421}, {377, 3085}, {381, 22938}, {382, 22799}, {384, 26752}, {385, 17759}, {386, 3032}, {387, 36000}, {388, 4190}, {394, 7074}, {402, 13268}, {405, 5175}, {409, 21674}, {442, 943}, {474, 1387}, {476, 4036}, {477, 36001}, {484, 758}, {485, 35772}, {486, 35773}, {487, 12343}, {488, 12344}, {491, 26513}, {492, 26512}, {493, 13275}, {494, 13276}, {495, 11112}, {496, 13747}, {498, 2476}, {499, 5533}, {511, 2699}, {512, 2703}, {513, 765}, {514, 1308}, {515, 2077}, {516, 908}, {517, 953}, {518, 840}, {520, 2719}, {522, 655}, {523, 1290}, {524, 2721}, {525, 2722}, {527, 30295}, {529, 15326}, {535, 4316}, {536, 4396}, {545, 38530}, {548, 38754}, {550, 38753}, {551, 36006}, {560, 697}, {573, 29068}, {574, 16975}, {593, 6043}, {594, 1030}, {595, 3216}, {601, 37699}, {604, 3169}, {610, 3692}, {612, 17594}, {614, 3749}, {616, 12337}, {617, 12336}, {627, 22558}, {628, 22557}, {631, 5082}, {645, 931}, {646, 8707}, {648, 36077}, {649, 660}, {650, 919}, {656, 39026}, {658, 664}, {661, 2702}, {666, 31150}, {667, 898}, {669, 9362}, {672, 3684}, {677, 4131}, {689, 6386}, {691, 4567}, {693, 927}, {699, 2205}, {701, 18900}, {715, 1918}, {717, 40728}, {719, 41267}, {726, 32845}, {728, 2371}, {731, 869}, {733, 893}, {735, 14620}, {740, 3724}, {743, 2276}, {745, 21035}, {748, 8616}, {751, 20973}, {752, 32843}, {753, 984}, {755, 3954}, {756, 846}, {761, 3661}, {788, 35009}, {789, 874}, {805, 4603}, {825, 1492}, {827, 4599}, {831, 4568}, {835, 4033}, {839, 27808}, {842, 37959}, {843, 21839}, {850, 2864}, {851, 3936}, {855, 36926}, {872, 39441}, {883, 6183}, {891, 39443}, {894, 6015}, {896, 1757}, {903, 24405}, {905, 35350}, {910, 3693}, {912, 43078}, {929, 4391}, {932, 4595}, {935, 7476}, {936, 5250}, {938, 26062}, {940, 17018}, {941, 34261}, {942, 45395}, {946, 6915}, {950, 24982}, {954, 33993}, {958, 3036}, {960, 17638}, {962, 1537}, {964, 19763}, {968, 5268}, {971, 17613}, {976, 986}, {978, 3915}, {982, 3938}, {983, 41886}, {985, 3795}, {993, 3679}, {995, 37610}, {997, 3877}, {999, 3241}, {1006, 3419}, {1010, 26115}, {1011, 5278}, {1014, 3879}, {1037, 30619}, {1043, 4225}, {1045, 20964}, {1052, 45233}, {1055, 35291}, {1056, 11239}, {1058, 17567}, {1078, 17143}, {1086, 17724}, {1089, 2372}, {1100, 8700}, {1110, 1734}, {1113, 2580}, {1114, 2581}, {1125, 3746}, {1149, 12029}, {1158, 12528}, {1191, 28280}, {1193, 5255}, {1201, 37588}, {1211, 33083}, {1215, 4418}, {1220, 4267}, {1224, 27787}, {1229, 26268}, {1250, 5362}, {1253, 1958}, {1255, 1929}, {1257, 18673}, {1261, 7293}, {1265, 3556}, {1267, 9098}, {1268, 46896}, {1270, 11498}, {1271, 11497}, {1276, 44689}, {1277, 44688}, {1279, 7292}, {1284, 4442}, {1289, 4244}, {1292, 2414}, {1293, 2827}, {1294, 2828}, {1296, 2830}, {1297, 2831}, {1299, 31384}, {1300, 7414}, {1301, 7435}, {1302, 42716}, {1304, 5379}, {1309, 4397}, {1310, 4561}, {1312, 10782}, {1313, 10781}, {1319, 3880}, {1324, 16086}, {1325, 12030}, {1326, 30576}, {1329, 5046}, {1333, 21858}, {1334, 35106}, {1335, 9679}, {1375, 28757}, {1381, 3307}, {1382, 3308}, {1385, 4861}, {1386, 17012}, {1388, 10912}, {1389, 19920}, {1402, 1999}, {1403, 3210}, {1414, 4614}, {1415, 8687}, {1420, 2136}, {1421, 43048}, {1429, 19589}, {1445, 1998}, {1449, 17223}, {1458, 9364}, {1462, 43063}, {1465, 4318}, {1466, 3600}, {1468, 37603}, {1470, 3476}, {1476, 12640}, {1478, 17579}, {1479, 4193}, {1482, 6924}, {1483, 37535}, {1490, 2057}, {1499, 2746}, {1500, 2375}, {1503, 2747}, {1575, 1914}, {1577, 2690}, {1580, 3507}, {1593, 12138}, {1610, 2933}, {1612, 1714}, {1613, 21780}, {1615, 38876}, {1616, 28370}, {1617, 5435}, {1618, 6099}, {1624, 4243}, {1631, 17233}, {1634, 8050}, {1644, 31171}, {1657, 38756}, {1697, 3890}, {1698, 5047}, {1699, 15017}, {1706, 3601}, {1707, 28527}, {1708, 2900}, {1726, 29306}, {1737, 10073}, {1738, 3011}, {1739, 30117}, {1740, 2209}, {1743, 17222}, {1754, 3190}, {1761, 3949}, {1764, 35614}, {1766, 12530}, {1769, 46119}, {1770, 21077}, {1771, 3562}, {1788, 3189}, {1791, 3704}, {1792, 7270}, {1812, 22276}, {1813, 8059}, {1814, 24499}, {1816, 3682}, {1818, 1936}, {1824, 3563}, {1836, 31053}, {1837, 12743}, {1908, 3774}, {1931, 12031}, {1959, 2700}, {1983, 29044}, {2071, 2694}, {2078, 3911}, {2082, 26690}, {2092, 2298}, {2149, 32689}, {2161, 40988}, {2178, 17314}, {2220, 33760}, {2229, 41333}, {2238, 17735}, {2239, 3783}, {2265, 36278}, {2280, 17754}, {2284, 8693}, {2292, 5293}, {2295, 18755}, {2308, 28517}, {2320, 24297}, {2330, 15988}, {2340, 9441}, {2344, 19584}, {2345, 36744}, {2347, 23617}, {2352, 3187}, {2365, 3719}, {2367, 27801}, {2373, 20336}, {2374, 7438}, {2380, 42680}, {2381, 42677}, {2397, 9058}, {2427, 32722}, {2478, 4294}, {2481, 40619}, {2551, 6872}, {2611, 16598}, {2635, 23693}, {2646, 5836}, {2651, 37783}, {2664, 3747}, {2688, 14206}, {2689, 4086}, {2692, 4404}, {2698, 5360}, {2701, 4041}, {2705, 4729}, {2708, 6211}, {2711, 20683}, {2715, 36084}, {2723, 7360}, {2724, 28058}, {2725, 3912}, {2726, 3685}, {2727, 24018}, {2728, 6332}, {2729, 14210}, {2730, 44448}, {2734, 10538}, {2736, 4468}, {2737, 4462}, {2740, 14207}, {2742, 3309}, {2743, 3667}, {2744, 6000}, {2745, 6001}, {2748, 4401}, {2751, 3220}, {2757, 4723}, {2758, 3992}, {2766, 37964}, {2770, 42713}, {2796, 21093}, {2810, 3937}, {2841, 38512}, {2857, 42703}, 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33135}, {29687, 33158}, {29814, 37674}, {29840, 41346}, {30147, 37571}, {30247, 37217}, {30626, 32735}, {30725, 46116}, {30733, 41507}, {30913, 32666}, {30942, 32941}, {30996, 40546}, {31141, 34626}, {31143, 33082}, {31204, 33138}, {31330, 32916}, {31385, 39437}, {31423, 38133}, {31544, 31547}, {31545, 31548}, {31798, 40262}, {31847, 38569}, {32076, 42014}, {32157, 32198}, {32347, 32354}, {32468, 41526}, {32612, 37727}, {32636, 34791}, {32641, 32685}, {32665, 32686}, {32681, 36083}, {32683, 36088}, {32684, 36039}, {32687, 36092}, {32690, 36097}, {32710, 37979}, {32778, 33074}, {32781, 32783}, {32847, 32848}, {32854, 32855}, {32856, 32857}, {32925, 32934}, {33064, 33067}, {33080, 33084}, {33081, 33085}, {33098, 33101}, {33105, 33109}, {33107, 37662}, {33136, 33140}, {33139, 35466}, {33142, 37646}, {33144, 33146}, {33145, 33152}, {33161, 33165}, {33162, 33167}, {33166, 44416}, {33171, 33172}, {33667, 41697}, {33956, 44784}, {33994, 42884}, {34140, 37758}, {34168, 42699}, {34404, 39451}, {34606, 37299}, {34880, 37738}, {34921, 35057}, {34927, 34932}, {35004, 37733}, {35249, 37430}, {35616, 35638}, {35657, 35659}, {35788, 35852}, {35789, 35853}, {36154, 38570}, {36508, 38286}, {36565, 37549}, {36977, 40293}, {37254, 39570}, {37262, 37581}, {37264, 37547}, {37308, 37730}, {37371, 37799}, {37442, 37573}, {37557, 39582}, {37604, 42042}, {37658, 42316}, {38711, 46636}, {40097, 46588}, {40216, 40419}, {40300, 40302}, {43816, 43847}, {43974, 43991}, {45269, 45272}, {45508, 45520}, {45509, 45521}

X(100) = midpoint of X(i) and X(j) for these {i,j}: {1, 5541}, {3, 12331}, {4, 13199}, {8, 6224}, {9, 5528}, {11, 6154}, {20, 153}, {40, 6326}, {104, 38665}, {119, 10993}, {149, 20095}, {191, 13146}, {901, 14513}, {1145, 10609}, {1155, 3689}, {1317, 13996}, {1490, 2950}, {1657, 38756}, {1768, 5531}, {2932, 5687}, {3218, 3935}, {3245, 4867}, {3913, 22560}, {5537, 44425}, {7991, 13253}, {11500, 12332}, {12119, 12751}, {12515, 12738}, {13269, 13270}, {18524, 35000}, {24466, 37725}, {32845, 32927}
X(100) = reflection of X(i) in X(j) for these {i,j}: {1, 214}, {2, 6174}, {3, 33814}, {4, 119}, {7, 10427}, {8, 1145}, {9, 6594}, {11, 3035}, {20, 24466}, {21, 35204}, {80, 10}, {104, 3}, {105, 46409}, {144, 6068}, {145, 1317}, {149, 11}, {153, 37725}, {382, 22799}, {765, 46973}, {908, 6745}, {962, 1537}, {1156, 9}, {1290, 36167}, {1320, 1}, {1482, 19907}, {1484, 140}, {1768, 46684}, {2611, 16598}, {2687, 46635}, {2975, 4996}, {3035, 35023}, {3065, 3647}, {3218, 1155}, {3244, 33812}, {3254, 142}, {3583, 3814}, {3868, 11570}, {3870, 41553}, {3935, 3689}, {4511, 5440}, {5057, 908}, {5080, 17757}, {5176, 6735}, {5375, 38310}, {5905, 12831}, {6075, 22102}, {6163, 765}, {6224, 10609}, {6264, 11715}, {6265, 22935}, {6595, 13089}, {6599, 12639}, {6909, 2077}, {7972, 33337}, {7982, 25485}, {7984, 31525}, {9318, 24685}, {9809, 13257}, {9897, 15863}, {10090, 25440}, {10265, 6684}, {10609, 9945}, {10698, 6265}, {10707, 2}, {10724, 4}, {10728, 10742}, {10738, 5}, {10742, 11698}, {10755, 6}, {10767, 113}, {10768, 114}, {10769, 115}, {10770, 116}, {10771, 117}, {10772, 118}, {10773, 120}, {10774, 121}, {10775, 122}, {10776, 123}, {10777, 124}, {10778, 125}, {10779, 126}, {10780, 127}, {10781, 1313}, {10782, 1312}, {11219, 10164}, {11256, 11260}, {11604, 442}, {11609, 2092}, {12248, 38761}, {12515, 3579}, {12528, 12665}, {12531, 8}, {12532, 72}, {12641, 12640}, {12649, 12832}, {12690, 12019}, {12699, 12611}, {12737, 1385}, {12761, 18242}, {12764, 1329}, {12773, 38602}, {12848, 25606}, {12868, 12631}, {13199, 10993}, {13243, 1768}, {13266, 659}, {13268, 402}, {13277, 9508}, {13278, 10087}, {13279, 10090}, {14217, 946}, {14923, 39776}, {14947, 6184}, {17636, 5836}, {17638, 960}, {17652, 9957}, {17654, 31788}, {17763, 4434}, {19914, 5690}, {19916, 44805}, {20067, 15326}, {20095, 6154}, {20119, 2550}, {21630, 1125}, {24297, 40587}, {24712, 24318}, {24852, 24850}, {25416, 12735}, {25438, 8715}, {26015, 3911}, {26726, 3244}, {31512, 3259}, {32198, 32157}, {32454, 39}, {34151, 15632}, {34195, 39778}, {34772, 41541}, {34789, 21635}, {34894, 6600}, {36002, 44425}, {36175, 5520}, {36237, 190}, {36845, 41556}, {36846, 41554}, {37726, 6713}, {38460, 1319}, {38521, 38643}, {38665, 12331}, {38669, 104}, {38693, 34474}, {38753, 550}, {41575, 41558}, {42322, 4394}, {43735, 18642}, {45393, 11517}, {46435, 6260}, {46685, 14740}, {47320, 3678}
X(100) = isogonal conjugate of X(513)
X(100) = isotomic conjugate of X(693)
X(100) = anticomplement of X(11)
X(100) = complement of X(149)
X(100) = Stevanovic circle inverse of X(919)
X(100) = Conway circle inverse of X(38478)
X(100) = polar circle inverse of X(5521)
X(100) = orthoptic circle of the Steiner inellipe inverse of X(120)
X(100) = orthoptic circle of the Steiner circumellipe inverse of X(20344)
X(100) = de Longchamps circle inverse of X(34188)
X(100) = Schoutte circle inverse of X(35107)
X(100) = second Brocard Circle inverse of X(38521)
X(100) = polar conjugate of X(17924)
X(100) = antitomic image of X(14947)
X(100) = anticomplement of the anticomplement of X(3035)
X(100) = anticomplement of the anticomplement of the anticomplement of X(6667)
X(100) = complement of the complement of X(20095)
X(100) = anticomplement of the isogonal conjugate of X(59)
X(100) = complement of the isogonal conjugate of X(3446)
X(100) = anticomplement of the isotomic conjugate of X(4998)
X(100) = complement of the isotomic conjugate of X(8047)
X(100) = isogonal conjugate of the anticomplement of X(513)
X(100) = isogonal conjugate of the complement of X(513)
X(100) = isotomic conjugate of the anticomplement of X(650)
X(100) = isotomic conjugate of the complement of X(17494)
X(100) = isotomic conjugate of the isogonal conjugate of X(692)
X(100) = isogonal conjugate of the isotomic conjugate of X(668)
X(100) = isotomic conjugate of the polar conjugate of X(1783)
X(100) = isogonal conjugate of the polar conjugate of X(6335)
X(100) = polar conjugate of the isotomic conjugate of X(1332)
X(100) = polar conjugate of the isogonal conjugate of X(906)
X(100) = Thomson isogonal conjugate of X(517)
X(100) = Lucas-isogonal conjugate of X(517)
X(100) = excentral isogonal conjugate of X(2957)
X(100) = tangential isogonal conjugate of X(38863)
X(100) = psi-transform of X(1083)
X(100) = circumcircle-antipode of X(104)
X(100) = Ψ(X(i),X(j)) for these (i,j): (1,2), 2,37), (3,63), (4,8), (6,1), (7,8), (48,3), (56,55), (68,72)
X(100) = X(1)-line conjugate of X(244)
X(100) = X(113)-of-the-hexyl-triangle
X(100) = concurrence of reflections in sides of ABC of line X(4)X(8)
X(100) = perspector of Hutson-Moses hyperbola
X(100) = trilinear pole of line X(1)X(6) (and PU(28)) (van Aubel line of excentral triangle)
X(100) = trilinear product of PU(33)
X(100) = trilinear product of intercepts of circumcircle and Nagel line
X(100) = polar conjugate of X(17924)
X(100) = pole wrt polar circle of trilinear polar of X(17924) (line X(11)X(2969))
X(100) = the point of intersection, other than A, B, and C, of the circumcircle and the circumellipse centered at X(1) (viz., {{A,B,C,X(100),X(664),X(1120),X(1320)}})
X(100) = the point of intersection, other than A, B, and C, of the circumcircle and the circumellipse centered at X(9) (viz., {{A,B,C,X(100),X(658),X(662),X(799),X(1821),X(2580),X(2581),PU(34)}})
X(100) = the point of intersection, other than A, B, and C, of the circumcircle and hyperbola {{A,B,C,PU(8)}}
X(100) = the point of intersection, other than A, B, and C, of the circumcircle and hyperbola {{A,B,C,PU(32)}}
X(100) = center of hyperbola passing through X(1), X(9), and the excenters
X(100) = X(125)-of-excentral-triangle
X(100) = trilinear pole wrt 1st circumperp triangle of line X(3)X(142)
X(100) = X(110)-of-1st-circumperp-triangle
X(100) = reflection of X(1290) in the Euler line
X(100) = reflection of X(2703) in the Brocard axis
X(100) = reflection of X(901) in line X(1)X(3)
X(100) = cevapoint of X(59) and inverse-in-circumcircle-of-X(59)
X(100) = inverse-in-{circumcircle, nine-point circle}-inverter of X(120)
X(100) = exsimilicenter of circumcircle and AC-incircle
X(100) = X(i)-aleph conjugate of X(j) for these (i,j) (1,1052), (100,1), (190,63), (643,411), (666,673), (765,100), (1016,190)
X(100) = X(i)-beth conjugate of X(j) for these (i,j): (8,80), (21,106), (100,109), (333,673), (643,100), (765,100)
X(100) = the point of intersection, other than A, B, and C, of the circumcircle and ellipse {{A,B,C,PU(75)}}
X(100) = crossdifference of PU(27)
X(100) = homothetic center of 2nd Schiffler triangle and excenters-midpoints triangle
X(100) = Feuerbach image of X(2)
X(100) = Cundy-Parry Phi transform of X(14266)
X(100) = perspector of anti-Mandart-incircle and anticomplementary triangles
X(100) = intersection of antipedal lines of X(1381) and X(1382)
X(100) = eigencenter of Gemini triangle 2
X(100) = barycentric product of vertices of Gemini triangle 5
X(100) = barycentric product of vertices of Gemini triangle 6
X(100) = perspector of ABC and side-triangle of Gemini triangles 29 and 30
X(100) = homothetic center of 2nd Schiffler triangle and excenters-midpoints triangle
X(100) = barycentric product of vertices of Gemini triangle 29
X(100) = barycentric product of vertices of Gemini triangle 30
X(100) = intersection, other than A, B, C, of {ABC, Gemini 29}-circumconic and {ABC, Gemini 30}-circumconic
X(100) = barycentric product of circumcircle intercepts of line X(2)X(37)
X(100) = excentral-to-ABC barycentric image of X(1768)
X(100) = intouch-to-ABC barycentric image of X(11)
X(100) = ABC-to-excentral barycentric image of X(11)
X(100) = trilinear pole, wrt circumtangential triangle, of line X(1)X(3)
X(100) = BSS(a^2->a) of X(110)
X(100) = Collings transform of X(i) for these i: {1, 9, 10, 119, 142, 214, 442, 600, 1145, 2092, 3126, 3307, 3308, 3647, 5507, 6184, 6260, 6594, 6600, 10427, 10472, 11517, 11530, 12631, 12639, 12640, 12864, 13089, 15346, 15347, 15348, 17057, 17060, 18258, 18642, 19557, 19584, 22754, 34261, 35204, 39041, 39048, 40587, 40600, 40653, 41540, 41862, 41886, 43182, 45036}
X(100) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {31, 17036}, {59, 8}, {100, 33650}, {101, 37781}, {109, 149}, {249, 21273}, {651, 150}, {664, 21293}, {692, 39351}, {765, 3436}, {1016, 21286}, {1101, 2975}, {1110, 144}, {1252, 329}, {1262, 7}, {1275, 21285}, {1331, 34188}, {1415, 4440}, {2149, 2}, {4551, 3448}, {4552, 21294}, {4559, 21221}, {4564, 69}, {4567, 20245}, {4570, 3869}, {4619, 693}, {4620, 17137}, {4998, 6327}, {7012, 4}, {7045, 3434}, {7115, 5905}, {7339, 36845}, {9268, 5176}, {23357, 18662}, {23979, 3210}, {23990, 3177}, {24027, 145}, {24041, 35614}, {31615, 20295}, {39293, 20556}, {44717, 4329}, {46102, 21270}
X(100) = X(i)-complementary conjugate of X(j) for these (i,j): {31, 5375}, {3446, 10}, {8047, 2887}, {42552, 124}
Χ(100) = X(i)-Ceva conjugate of X(j) for these (i,j): {1, 6163}, {2, 5375}, {6, 9266}, {59, 2975}, {99, 190}, {190, 644}, {249, 38871}, {643, 1331}, {662, 101}, {664, 651}, {666, 2284}, {668, 1332}, {765, 1}, {835, 4756}, {898, 23343}, {1016, 6}, {1252, 1621}, {1262, 38869}, {1275, 220}, {3257, 1023}, {4076, 145}, {4555, 4585}, {4564, 9}, {4567, 37}, {4570, 21}, {4596, 662}, {4600, 81}, {4601, 213}, {4603, 46148}, {4618, 3257}, {4998, 2}, {5376, 44}, {5377, 518}, {5378, 238}, {5379, 72}, {5381, 3230}, {5382, 1743}, {5383, 2176}, {5384, 984}, {5385, 45}, {5387, 16784}, {5388, 40728}, {6012, 1633}, {6079, 17780}, {6335, 1783}, {6606, 664}, {6648, 4559}, {7012, 3869}, {7035, 32911}, {7045, 63}, {8269, 934}, {8706, 3699}, {8707, 3952}, {8708, 4557}, {8709, 3570}, {9059, 4767}, {13136, 2427}, {15742, 8}, {23586, 38876}, {23984, 38875}, {24041, 33761}, {31615, 1252}, {31628, 650}, {34071, 932}, {34537, 38853}, {35574, 42720}, {36086, 3573}, {36147, 4579}, {36797, 1897}, {36802, 2398}, {37212, 1018}, {39272, 36086}, {39444, 36237}, {46102, 219}, {46649, 12531}
X(100) = X(i)-cross conjugate of X(j) for these (i,j): {1, 765}, {3, 59}, {6, 1016}, {9, 4564}, {35, 4570}, {36, 9268}, {37, 4567}, {40, 7012}, {43, 7035}, {44, 5376}, {45, 5385}, {55, 1252}, {72, 5379}, {101, 651}, {109, 13138}, {165, 7045}, {170, 24011}, {171, 4600}, {190, 932}, {197, 7115}, {198, 1262}, {213, 4601}, {219, 46102}, {220, 1275}, {238, 5378}, {512, 2298}, {513, 1}, {514, 2346}, {518, 5377}, {521, 8}, {522, 21}, {523, 943}, {610, 7128}, {644, 27834}, {647, 40406}, {649, 81}, {650, 2}, {652, 40399}, {654, 2990}, {656, 1257}, {659, 105}, {661, 1255}, {663, 23617}, {665, 2991}, {667, 6}, {692, 1783}, {798, 1258}, {846, 24041}, {890, 739}, {900, 104}, {906, 1332}, {926, 294}, {928, 8759}, {984, 5384}, {1018, 190}, {1019, 40433}, {1021, 40435}, {1023, 3257}, {1026, 660}, {1030, 249}, {1376, 4998}, {1415, 46640}, {1491, 1390}, {1615, 23586}, {1631, 15378}, {1633, 934}, {1635, 88}, {1734, 75}, {1743, 5382}, {1960, 40400}, {2176, 5383}, {2254, 1280}, {2283, 677}, {2284, 666}, {2427, 13136}, {2509, 30701}, {2516, 8056}, {2804, 45393}, {2820, 43736}, {2821, 9372}, {2915, 250}, {2933, 15386}, {2939, 24000}, {2947, 24032}, {2977, 15344}, {3063, 17743}, {3126, 518}, {3185, 2149}, {3197, 23984}, {3230, 5381}, {3251, 44}, {3257, 9271}, {3309, 7}, {3573, 37135}, {3659, 6733}, {3667, 1476}, {3733, 1126}, {3737, 1220}, {3738, 1320}, {3882, 3903}, {3887, 1156}, {3900, 9}, {3913, 4076}, {3939, 644}, {4040, 86}, {4057, 58}, {4063, 82}, {4083, 983}, {4105, 6605}, {4394, 57}, {4401, 1014}, {4427, 34594}, {4436, 99}, {4455, 292}, {4491, 106}, {4551, 1897}, {4553, 668}, {4557, 101}, {4559, 44765}, {4705, 37}, {4730, 2161}, {4775, 40401}, {4777, 15175}, {4782, 985}, {4790, 25417}, {4825, 45}, {4834, 2214}, {4893, 40434}, {4926, 15446}, {5277, 4590}, {5687, 15742}, {6003, 17097}, {6050, 39956}, {6161, 513}, {6182, 40779}, {6366, 34894}, {6586, 40403}, {6600, 6065}, {7234, 42}, {7239, 1978}, {7252, 40394}, {8043, 1224}, {8632, 20332}, {8640, 31}, {8641, 7123}, {8659, 1462}, {8662, 2221}, {8674, 80}, {8676, 1172}, {8678, 941}, {8683, 1293}, {8702, 7161}, {9001, 1000}, {9441, 39293}, {9508, 291}, {11124, 650}, {12331, 46649}, {13589, 1290}, {14392, 41798}, {14419, 34893}, {14589, 31615}, {15313, 4}, {15624, 1110}, {16553, 35049}, {16784, 5387}, {17494, 1621}, {18004, 15168}, {21003, 1438}, {21005, 251}, {21007, 83}, {21173, 1222}, {21189, 40436}, {21779, 34537}, {21786, 46638}, {21789, 2983}, {21791, 38810}, {21894, 39698}, {21901, 1221}, {23067, 1331}, {23224, 42019}, {23343, 898}, {23703, 36037}, {23832, 901}, {23845, 109}, {23865, 1174}, {23867, 38813}, {24052, 4632}, {24290, 335}, {28217, 15179}, {35057, 32635}, {35326, 43190}, {35338, 664}, {35341, 37206}, {35342, 662}, {38469, 43073}, {39199, 1167}, {39200, 36052}, {40728, 5388}, {43049, 3870}, {46611, 2687}
X(100) = X(i)-isoconjugate of X(j) for these (i,j): {1, 513}, {2, 649}, {3, 7649}, {4, 1459}, {6, 514}, {7, 663}, {8, 43924}, {9, 3669}, {10, 3733}, {11, 109}, {19, 905}, {21, 4017}, {25, 4025}, {27, 647}, {28, 656}, {31, 693}, {32, 3261}, {34, 521}, {37, 1019}, {38, 18108}, {39, 10566}, {41, 24002}, {42, 7192}, {43, 43931}, {44, 1022}, {48, 17924}, {54, 21102}, {55, 3676}, {56, 522}, {57, 650}, {58, 523}, {59, 21132}, {63, 6591}, {64, 21172}, {65, 3737}, {71, 17925}, {74, 11125}, {75, 667}, {76, 1919}, {77, 18344}, {78, 43923}, {79, 2605}, {81, 661}, {82, 2530}, {83, 21123}, {84, 6129}, {85, 3063}, {86, 512}, {87, 4083}, {88, 1635}, {89, 4893}, {91, 34948}, {92, 22383}, {99, 3122}, {100, 244}, {101, 1086}, {103, 676}, {104, 1769}, {105, 2254}, {106, 900}, {108, 7004}, {110, 3120}, {111, 4750}, {112, 4466}, {115, 4556}, {158, 23224}, {162, 18210}, {163, 16732}, {174, 6729}, {184, 46107}, {190, 1015}, {200, 43932}, {210, 7203}, {213, 7199}, {222, 3064}, {225, 23189}, {226, 7252}, {238, 876}, {239, 3572}, {241, 1024}, {249, 21131}, {250, 21134}, {251, 16892}, {256, 4367}, {257, 20981}, {266, 6728}, {267, 31947}, {269, 3900}, {273, 1946}, {274, 798}, {278, 652}, {279, 657}, {284, 7178}, {286, 810}, {291, 659}, {292, 812}, {306, 43925}, {310, 669}, {330, 20979}, {333, 7180}, {335, 8632}, {350, 875}, {386, 43927}, {393, 4091}, {479, 4105}, {516, 2424}, {518, 1027}, {519, 23345}, {520, 8747}, {525, 1474}, {536, 23892}, {560, 40495}, {561, 1980}, {593, 4024}, {595, 40086}, {596, 4057}, {603, 44426}, {604, 4391}, {608, 6332}, {651, 2170}, {653, 7117}, {654, 2006}, {658, 14936}, {660, 27846}, {662, 3125}, {664, 3271}, {665, 673}, {668, 3248}, {679, 3251}, {692, 1111}, {694, 4107}, {726, 23355}, {727, 3837}, {738, 4130}, {739, 4728}, {741, 4010}, {751, 4378}, {753, 4809}, {757, 4705}, {764, 765}, {788, 870}, {799, 3121}, {813, 27918}, {824, 40746}, {832, 977}, {834, 43531}, {849, 4036}, {850, 2206}, {871, 8630}, {884, 9436}, {885, 1458}, {890, 31002}, {891, 37129}, {893, 4369}, {897, 14419}, {898, 19945}, {899, 43928}, {901, 1647}, {902, 6548}, {903, 1960}, {904, 4374}, {908, 2423}, {909, 10015}, {918, 1438}, {932, 3123}, {934, 2310}, {959, 17418}, {961, 17420}, {963, 7661}, {967, 45745}, {983, 3777}, {985, 1491}, {996, 9002}, {998, 9001}, {1002, 4724}, {1014, 4041}, {1016, 21143}, {1018, 16726}, {1021, 1427}, {1026, 43921}, {1042, 7253}, {1043, 7250}, {1054, 6164}, {1088, 8641}, {1096, 4131}, {1106, 4397}, {1120, 6085}, {1126, 4977}, {1146, 1461}, {1149, 23836}, {1155, 35348}, {1156, 14413}, {1169, 21124}, {1170, 21127}, {1171, 4988}, {1173, 21103}, {1174, 21104}, {1175, 23752}, {1176, 21108}, {1177, 21109}, {1178, 2533}, {1193, 4581}, {1220, 6371}, {1222, 6363}, {1252, 6545}, {1255, 4979}, {1262, 42462}, {1279, 35355}, {1293, 3756}, {1318, 39771}, {1319, 23838}, {1323, 23351}, {1326, 18014}, {1331, 2969}, {1333, 1577}, {1334, 17096}, {1357, 3699}, {1358, 3939}, {1364, 36127}, {1365, 4636}, {1395, 35518}, {1396, 8611}, {1397, 35519}, {1400, 4560}, {1402, 18155}, {1407, 3239}, {1408, 4086}, {1411, 3738}, {1412, 3700}, {1413, 8058}, {1414, 4516}, {1415, 4858}, {1417, 4768}, {1421, 42552}, {1422, 14298}, {1431, 3907}, {1432, 3287}, {1434, 3709}, {1436, 14837}, {1437, 24006}, {1457, 43728}, {1472, 2517}, {1476, 6615}, {1486, 26721}, {1492, 4475}, {1509, 4079}, {1565, 8750}, {1576, 21207}, {1581, 4164}, {1638, 2291}, {1643, 37131}, {1646, 4607}, {1751, 43060}, {1783, 3942}, {1790, 2501}, {1795, 39534}, {1813, 8735}, {1826, 7254}, {1875, 37628}, {1876, 23696}, {1897, 3937}, {1911, 3766}, {1914, 4444}, {1924, 6385}, {1929, 9508}, {1967, 14296}, {1973, 15413}, {1977, 1978}, {2087, 3257}, {2109, 25381}, {2149, 40166}, {2156, 16757}, {2160, 14838}, {2161, 3960}, {2162, 3835}, {2163, 4777}, {2164, 21188}, {2183, 2401}, {2191, 3309}, {2194, 4077}, {2195, 43042}, {2203, 14208}, {2207, 30805}, {2208, 17896}, {2214, 14349}, {2215, 23882}, {2217, 21189}, {2218, 23800}, {2221, 6590}, {2226, 6544}, {2248, 21196}, {2258, 43067}, {2276, 4817}, {2279, 4762}, {2287, 7216}, {2296, 2978}, {2297, 8712}, {2299, 17094}, {2308, 4608}, {2311, 7212}, {2316, 30725}, {2319, 43051}, {2333, 15419}, {2334, 4778}, {2340, 43930}, {2348, 37626}, {2349, 14399}, {2350, 17494}, {2353, 21178}, {2354, 15420}, {2364, 43052}, {2382, 36848}, {2384, 14475}, {2395, 17209}, {2426, 15634}, {2432, 34050}, {2433, 18653}, {2486, 43076}, {2488, 21453}, {2489, 17206}, {2504, 9085}, {2509, 40188}, {2516, 36603}, {2526, 39958}, {2611, 13486}, {2616, 18180}, {2623, 17167}, {2718, 24457}, {2720, 35015}, {2786, 17962}, {2787, 17954}, {2832, 34893}, {2973, 32656}, {2983, 29162}, {2985, 23751}, {2998, 23572}, {3011, 35365}, {3022, 4626}, {3049, 44129}, {3119, 4617}, {3124, 4610}, {3224, 21191}, {3226, 6373}, {3227, 3768}, {3249, 31625}, {3250, 14621}, {3270, 36118}, {3285, 4049}, {3310, 34234}, {3423, 47123}, {3433, 21185}, {3435, 21186}, {3437, 21187}, {3444, 21192}, {3445, 3667}, {3446, 21201}, {3447, 21203}, {3449, 21118}, {3450, 21119}, {3451, 21120}, {3453, 21121}, {3455, 21205}, {3500, 21348}, {3668, 21789}, {3675, 36086}, {3762, 9456}, {3778, 7255}, {3798, 8770}, {3801, 38813}, {3803, 23051}, {3805, 40763}, {3862, 23597}, {3880, 37627}, {3912, 43929}, {3954, 39179}, {4040, 13476}, {4062, 43926}, {4063, 39798}, {4081, 6614}, {4128, 4594}, {4132, 39949}, {4142, 34250}, {4160, 34916}, {4162, 19604}, {4163, 7023}, {4303, 14775}, {4306, 23289}, {4373, 8643}, {4379, 30650}, {4382, 30651}, {4394, 8056}, {4401, 7241}, {4440, 9262}, {4449, 9309}, {4453, 6187}, {4455, 18827}, {4458, 8852}, {4459, 29055}, {4462, 38266}, {4467, 6186}, {4481, 40747}, {4491, 39697}, {4498, 39956}, {4521, 40151}, {4534, 38828}, {4551, 18191}, {4557, 17205}, {4559, 17197}, {4561, 42067}, {4565, 21044}, {4584, 39786}, {4598, 6377}, {4600, 8034}, {4603, 16592}, {4618, 42084}, {4637, 36197}, {4638, 35092}, {4707, 34079}, {4775, 39704}, {4784, 30571}, {4786, 21448}, {4790, 25430}, {4791, 28607}, {4813, 25417}, {4823, 34819}, {4834, 30598}, {4885, 9315}, {4932, 39967}, {4943, 16079}, {4957, 34073}, {4960, 28625}, {4978, 28615}, {4983, 40438}, {5009, 35352}, {5029, 6650}, {5209, 18002}, {5317, 24018}, {5331, 8672}, {5620, 42741}, {6005, 10013}, {6006, 41436}, {6149, 43082}, {6161, 46972}, {6336, 22086}, {6372, 40433}, {6381, 23349}, {6384, 8640}, {6549, 23344}, {6550, 9268}, {6551, 24188}, {6586, 14377}, {6588, 42467}, {6589, 13478}, {6610, 23893}, {6629, 9178}, {6730, 7370}, {7035, 8027}, {7077, 43041}, {7087, 20517}, {7121, 20906}, {7169, 21174}, {7234, 32010}, {7260, 21755}, {7316, 14432}, {7339, 23615}, {7658, 11051}, {8050, 8054}, {8059, 38357}, {8578, 44184}, {8648, 18815}, {8656, 36588}, {8659, 36807}, {8677, 36123}, {8690, 21963}, {8713, 10579}, {8714, 34444}, {8917, 17427}, {9217, 21200}, {9259, 42555}, {9265, 21211}, {9267, 9359}, {9269, 9325}, {9292, 17215}, {9299, 18149}, {9311, 20980}, {9361, 38238}, {9505, 38348}, {9506, 27929}, {10428, 23757}, {10490, 10495}, {10492, 18888}, {10509, 10581}, {14370, 21194}, {14554, 21786}, {15378, 21133}, {15382, 20504}, {16099, 42662}, {16606, 18197}, {16695, 42027}, {16702, 23894}, {16737, 40729}, {16887, 18105}, {17216, 32713}, {17217, 23493}, {17222, 45677}, {17435, 36146}, {17731, 18001}, {17758, 21007}, {17780, 43922}, {18018, 21122}, {18101, 46153}, {18359, 21758}, {18771, 21105}, {18772, 21106}, {18830, 38986}, {20295, 40148}, {20516, 34183}, {20518, 41528}, {20908, 34077}, {20974, 43190}, {21003, 39714}, {21110, 38826}, {21113, 42346}, {21138, 34071}, {21173, 34434}, {21175, 34436}, {21176, 34437}, {21179, 34441}, {21180, 34442}, {21183, 34446}, {21190, 34427}, {21202, 34179}, {21206, 36615}, {21208, 40519}, {21385, 39982}, {21763, 42328}, {21828, 24624}, {21832, 37128}, {22084, 26705}, {22108, 34578}, {22350, 43933}, {23100, 23990}, {23707, 30691}, {23723, 34429}, {23729, 38825}, {23807, 34248}, {23845, 40451}, {23989, 32739}, {24027, 42455}, {25426, 28840}, {26932, 32674}, {26933, 32691}, {28209, 41434}, {29198, 39972}, {29226, 36598}, {30723, 34820}, {30724, 33635}, {32039, 40610}, {32641, 42754}, {32714, 34591}, {34018, 46388}, {34051, 46393}, {34858, 36038}, {35014, 36110}, {36037, 42753}, {40076, 47234}, {40397, 40628}, {40409, 40627}, {40738, 45882}, {41799, 45877}, {42290, 45755}
X(100) = cevapoint of X(i) and X(j) for these (i,j): {1, 513}, {2, 17494}, {3, 521}, {6, 667}, {9, 3900}, {10, 522}, {11, 15914}, {37, 4705}, {42, 649}, {43, 8640}, {44, 3251}, {45, 4825}, {55, 650}, {57, 43049}, {101, 3939}, {119, 2804}, {142, 514}, {171, 7234}, {190, 4595}, {214, 3738}, {442, 523}, {512, 2092}, {518, 3126}, {525, 18642}, {656, 18673}, {659, 8299}, {661, 1962}, {663, 2347}, {665, 20455}, {669, 21753}, {678, 1635}, {692, 906}, {899, 38349}, {900, 1145}, {905, 7289}, {918, 17060}, {926, 6184}, {1018, 4557}, {1019, 18166}, {1021, 8021}, {1734, 15624}, {1960, 20972}, {2530, 18183}, {3158, 4394}, {3257, 9272}, {3293, 4057}, {3307, 3308}, {3309, 6600}, {3647, 35057}, {3667, 12640}, {3737, 4267}, {3795, 4782}, {3887, 6594}, {4041, 21811}, {4083, 41886}, {4097, 4401}, {4105, 8012}, {4477, 18235}, {4551, 23067}, {4730, 40988}, {4775, 20973}, {4777, 17057}, {4802, 41862}, {6161, 46973}, {6260, 8058}, {6366, 10427}, {6608, 42438}, {8043, 27787}, {8298, 9508}, {8632, 20663}, {8641, 30706}, {8674, 35204}, {8678, 34261}, {8702, 13089}, {10472, 23880}, {11124, 14589}, {11517, 15313}, {14077, 15346}, {15347, 30198}, {15348, 30199}
X(100) = crosspoint of X(i) and X(j) for these (i,j): {1, 9282}, {2, 8047}, {6, 9265}, {99, 662}, {101, 34071}, {190, 664}, {643, 36797}, {668, 6335}, {3257, 4618}, {4596, 37212}, {4600, 6632}, {4998, 31615}
X(100) = crosssum of X(i) and X(j) for these (i,j): {1, 1054}, {2, 9263}, {6, 16686}, {10, 22045}, {37, 22323}, {244, 764}, {512, 661}, {514, 3835}, {523, 31946}, {649, 663}, {650, 4162}, {659, 38348}, {667, 22383}, {693, 23807}, {812, 27854}, {891, 14434}, {1015, 8027}, {1635, 3251}, {1646, 14441}, {3120, 21132}, {3122, 21143}, {3259, 6550}, {4107, 4375}, {4979, 4983}, {6363, 6615}, {8677, 42769}, {33917, 39011}
X(100) = crossdifference of every pair of points on line {244, 665}
X(100) = X(i)-lineconjugate of X(j) for these (i,j): {1, 244}, {101, 1635}, {292, 3121}, {294, 14936}, {4618, 14421}, {8649, 9283}, {10699, 3675}, {39443, 891}
X(100) = barycentric product X(i)*X(j) for these {i,j}: {1, 190}, {3, 6335}, {4, 1332}, {6, 668}, {7, 644}, {8, 651}, {9, 664}, {10, 662}, {11, 31615}, {12, 4612}, {19, 4561}, {21, 4552}, {31, 1978}, {32, 6386}, {35, 15455}, {36, 36804}, {37, 99}, {40, 44327}, {41, 4572}, {42, 799}, {43, 4598}, {44, 4555}, {45, 4597}, {55, 4554}, {56, 646}, {57, 3699}, {58, 4033}, {59, 4391}, {63, 1897}, {65, 645}, {69, 1783}, {71, 811}, {72, 648}, {74, 42716}, {75, 101}, {76, 692}, {78, 653}, {80, 4585}, {81, 3952}, {82, 4568}, {83, 4553}, {85, 3939}, {86, 1018}, {87, 4595}, {88, 17780}, {89, 4767}, {92, 1331}, {98, 42717}, {102, 42718}, {103, 42719}, {104, 2397}, {105, 42720}, {106, 24004}, {107, 3998}, {108, 345}, {109, 312}, {110, 321}, {111, 42721}, {112, 20336}, {145, 27834}, {162, 306}, {163, 313}, {171, 27805}, {181, 4631}, {192, 932}, {200, 658}, {210, 4573}, {212, 46404}, {213, 670}, {219, 18026}, {220, 4569}, {226, 643}, {228, 6331}, {238, 4562}, {239, 660}, {241, 36802}, {244, 6632}, {249, 4036}, {256, 18047}, {257, 4579}, {261, 21859}, {264, 906}, {269, 6558}, {273, 4587}, {274, 4557}, {278, 4571}, {279, 4578}, {281, 6516}, {286, 4574}, {291, 3570}, {292, 874}, {294, 883}, {304, 8750}, {314, 4559}, {318, 1813}, {322, 36049}, {329, 13138}, {333, 4551}, {335, 3573}, {341, 1461}, {344, 1292}, {346, 934}, {350, 813}, {386, 37218}, {476, 42701}, {480, 36838}, {512, 4601}, {513, 1016}, {514, 765}, {517, 13136}, {518, 666}, {519, 3257}, {521, 46102}, {522, 4564}, {523, 4567}, {524, 5380}, {525, 5379}, {536, 898}, {556, 6733}, {561, 32739}, {598, 3908}, {612, 37215}, {649, 7035}, {650, 4998}, {655, 4511}, {661, 4600}, {667, 31625}, {673, 1026}, {675, 42723}, {677, 30807}, {689, 21814}, {691, 42713}, {693, 1252}, {728, 4626}, {739, 41314}, {740, 4584}, {751, 4482}, {752, 5386}, {754, 5389}, {756, 4610}, {757, 4103}, {758, 47318}, {788, 5388}, {789, 2276}, {812, 5378}, {823, 3682}, {824, 5384}, {825, 33931}, {831, 17289}, {833, 32777}, {835, 28606}, {839, 4261}, {840, 42722}, {869, 37133}, {889, 3230}, {891, 5381}, {892, 21839}, {894, 3903}, {899, 4607}, {900, 5376}, {901, 4358}, {903, 1023}, {905, 15742}, {908, 36037}, {914, 36106}, {918, 5377}, {919, 3263}, {925, 42700}, {927, 3693}, {931, 31993}, {933, 42698}, {958, 32038}, {960, 6648}, {982, 4621}, {983, 33946}, {984, 4586}, {985, 3807}, {1001, 32041}, {1014, 30730}, {1020, 1043}, {1025, 14942}, {1042, 7258}, {1089, 4556}, {1098, 4605}, {1100, 6540}, {1110, 3261}, {1125, 37212}, {1212, 6606}, {1213, 4596}, {1214, 36797}, {1215, 4603}, {1220, 3882}, {1222, 21362}, {1253, 46406}, {1255, 4427}, {1257, 14543}, {1260, 13149}, {1262, 4397}, {1265, 32714}, {1267, 6135}, {1268, 35342}, {1275, 3900}, {1278, 29227}, {1290, 32849}, {1293, 18743}, {1296, 42724}, {1301, 42699}, {1302, 42704}, {1305, 27396}, {1308, 17264}, {1310, 2345}, {1319, 4582}, {1333, 27808}, {1334, 4625}, {1376, 30610}, {1400, 7257}, {1414, 2321}, {1415, 3596}, {1427, 7256}, {1429, 36801}, {1434, 4069}, {1441, 5546}, {1473, 42384}, {1476, 25268}, {1492, 3661}, {1500, 4623}, {1509, 40521}, {1575, 8709}, {1576, 27801}, {1577, 4570}, {1633, 30701}, {1698, 37211}, {1757, 35148}, {1824, 4563}, {1826, 4592}, {1911, 27853}, {1914, 4583}, {1918, 4602}, {1921, 34067}, {1930, 4628}, {1962, 4632}, {1969, 32656}, {1983, 20566}, {1997, 30236}, {2087, 6635}, {2149, 35519}, {2162, 36863}, {2176, 18830}, {2205, 4609}, {2214, 33948}, {2222, 32851}, {2223, 36803}, {2238, 4589}, {2283, 36796}, {2284, 2481}, {2287, 4566}, {2295, 4594}, {2323, 35174}, {2339, 14594}, {2340, 34085}, {2361, 46405}, {2398, 36101}, {2427, 18816}, {2702, 20947}, {2703, 17790}, {2715, 42703}, {2742, 37788}, {2743, 37758}, {2748, 37756}, {2753, 37857}, {2832, 5387}, {3006, 36087}, {3035, 31628}, {3112, 46148}, {3175, 8690}, {3198, 44326}, {3219, 6742}, {3222, 21877}, {3227, 23343}, {3239, 7045}, {3240, 37209}, {3262, 32641}, {3264, 32665}, {3290, 35574}, {3293, 37205}, {3436, 46640}, {3616, 4606}, {3666, 8707}, {3667, 5382}, {3668, 7259}, {3669, 4076}, {3672, 6574}, {3679, 4604}, {3681, 43190}, {3687, 36098}, {3692, 36118}, {3701, 4565}, {3717, 36146}, {3718, 32674}, {3719, 36127}, {3739, 8708}, {3747, 4639}, {3752, 8706}, {3762, 9268}, {3783, 37207}, {3797, 30664}, {3799, 14621}, {3869, 44765}, {3870, 37206}, {3888, 17743}, {3909, 40394}, {3912, 36086}, {3935, 37143}, {3943, 4622}, {3954, 4577}, {3969, 13486}, {3990, 6528}, {3992, 4591}, {3995, 34594}, {4024, 24041}, {4037, 36066}, {4039, 37134}, {4041, 4620}, {4043, 43076}, {4062, 36085}, {4079, 24037}, {4082, 4637}, {4083, 5383}, {4115, 40438}, {4357, 36147}, {4359, 8701}, {4370, 4618}, {4384, 37138}, {4417, 36050}, {4420, 38340}, {4421, 42343}, {4436, 32009}, {4441, 8693}, {4463, 44766}, {4505, 40746}, {4512, 4624}, {4515, 4616}, {4558, 41013}, {4576, 18098}, {4588, 4671}, {4590, 4705}, {4593, 21035}, {4599, 15523}, {4613, 40773}, {4614, 5257}, {4615, 21805}, {4617, 5423}, {4619, 24026}, {4629, 4647}, {4633, 37593}, {4636, 6358}, {4638, 4738}, {4663, 35177}, {4664, 29351}, {4687, 6013}, {4699, 29199}, {4752, 39704}, {4756, 25417}, {4777, 5385}, {4781, 40434}, {4812, 29026}, {4850, 9059}, {4980, 28176}, {4997, 23703}, {5222, 37223}, {5223, 32040}, {5291, 35147}, {5293, 8052}, {5297, 37210}, {5360, 43187}, {5375, 8047}, {5391, 6136}, {5435, 31343}, {5526, 35171}, {5545, 42712}, {6011, 33116}, {6012, 17279}, {6014, 30829}, {6065, 24002}, {6079, 16610}, {6163, 6630}, {6164, 6634}, {6332, 7012}, {6376, 34071}, {6381, 34075}, {6542, 37135}, {6554, 8269}, {6559, 41353}, {6577, 18137}, {6603, 35157}, {6605, 35312}, {6614, 30693}, {6631, 9282}, {6735, 37136}, {6745, 37139}, {6790, 46119}, {7017, 36059}, {7080, 37141}, {7081, 37137}, {7115, 35518}, {7239, 40415}, {7260, 20964}, {8050, 32911}, {8056, 43290}, {8652, 28605}, {8684, 33891}, {8694, 19804}, {8699, 20942}, {9058, 17740}, {9067, 17756}, {9070, 32779}, {9265, 9296}, {9266, 9295}, {9271, 17487}, {9278, 17934}, {9361, 9362}, {11124, 31619}, {11495, 42303}, {11611, 17944}, {13396, 17281}, {13397, 17776}, {14947, 40865}, {15322, 28653}, {15624, 31624}, {16514, 41072}, {16593, 39272}, {16777, 32042}, {16785, 35181}, {17459, 35572}, {17787, 29055}, {17796, 35156}, {17863, 29163}, {17930, 20693}, {18140, 40519}, {18147, 29014}, {19604, 30720}, {19799, 32691}, {20332, 23354}, {20440, 20640}, {20453, 20696}, {20568, 23344}, {20901, 31616}, {20911, 32736}, {20940, 40150}, {21272, 23617}, {21453, 35341}, {21802, 35137}, {21833, 31614}, {21874, 35136}, {21899, 37880}, {22003, 40430}, {22456, 42702}, {23067, 31623}, {23493, 36860}, {23704, 35160}, {23832, 36805}, {23845, 32017}, {23891, 37129}, {23981, 36795}, {23990, 40495}, {24589, 28210}, {25001, 43344}, {25660, 29151}, {26700, 42033}, {26706, 28420}, {26711, 33168}, {26714, 42711}, {28148, 42029}, {28162, 42034}, {28474, 41316}, {28583, 41315}, {28847, 30758}, {30555, 31130}, {30625, 42301}, {30963, 43077}, {31633, 42552}, {32008, 35338}, {32018, 35327}, {32094, 46972}, {32676, 40071}, {32718, 35543}, {32931, 35009}, {33113, 33637}, {33157, 43348}, {35280, 39749}, {35517, 36039}, {36077, 42706}, {36080, 44140}, {37204, 41267}, {38828, 44720}, {40728, 46132}, {41839, 43350}, {44426, 44717}
X(100) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 514}, {2, 693}, {3, 905}, {4, 17924}, {6, 513}, {7, 24002}, {8, 4391}, {9, 522}, {10, 1577}, {11, 40166}, {19, 7649}, {21, 4560}, {22, 16757}, {25, 6591}, {28, 17925}, {31, 649}, {32, 667}, {33, 3064}, {35, 14838}, {36, 3960}, {37, 523}, {38, 16892}, {39, 2530}, {40, 14837}, {41, 663}, {42, 661}, {43, 3835}, {44, 900}, {45, 4777}, {46, 21188}, {48, 1459}, {55, 650}, {56, 3669}, {57, 3676}, {58, 1019}, {59, 651}, {63, 4025}, {65, 7178}, {69, 15413}, {71, 656}, {72, 525}, {75, 3261}, {76, 40495}, {78, 6332}, {81, 7192}, {82, 10566}, {86, 7199}, {88, 6548}, {92, 46107}, {99, 274}, {101, 1}, {104, 2401}, {106, 1022}, {108, 278}, {109, 57}, {110, 81}, {112, 28}, {145, 4462}, {162, 27}, {163, 58}, {165, 7658}, {169, 21185}, {171, 4369}, {172, 4367}, {184, 22383}, {187, 14419}, {190, 75}, {191, 21192}, {192, 20906}, {194, 23807}, {197, 6588}, {198, 6129}, {200, 3239}, {210, 3700}, {212, 652}, {213, 512}, {218, 3309}, {219, 521}, {220, 3900}, {226, 4077}, {228, 647}, {238, 812}, {239, 3766}, {241, 43042}, {244, 6545}, {251, 18108}, {255, 4091}, {259, 6728}, {260, 10492}, {281, 44426}, {284, 3737}, {291, 4444}, {292, 876}, {294, 885}, {306, 14208}, {312, 35519}, {313, 20948}, {318, 46110}, {319, 18160}, {321, 850}, {326, 30805}, {329, 17896}, {333, 18155}, {345, 35518}, {346, 4397}, {354, 21104}, {385, 14296}, {386, 14349}, {391, 4811}, {394, 4131}, {405, 23882}, {480, 4130}, {510, 20519}, {512, 3125}, {513, 1086}, {514, 1111}, {517, 10015}, {518, 918}, {519, 3762}, {521, 26932}, {522, 4858}, {523, 16732}, {560, 1919}, {571, 34948}, {572, 21173}, {573, 21189}, {577, 23224}, {579, 23800}, {594, 4036}, {595, 4063}, {604, 43924}, {607, 18344}, {608, 43923}, {610, 21172}, {612, 6590}, {643, 333}, {644, 8}, {645, 314}, {646, 3596}, {647, 18210}, {648, 286}, {649, 244}, {650, 11}, {651, 7}, {652, 7004}, {653, 273}, {655, 18815}, {656, 4466}, {657, 2310}, {658, 1088}, {659, 27918}, {660, 335}, {661, 3120}, {662, 86}, {663, 2170}, {664, 85}, {665, 3675}, {666, 2481}, {667, 1015}, {668, 76}, {669, 3121}, {670, 6385}, {672, 2254}, {677, 36101}, {678, 6544}, {692, 6}, {693, 23989}, {726, 20908}, {728, 4163}, {739, 43928}, {748, 4382}, {750, 4379}, {756, 4024}, {758, 4707}, {765, 190}, {798, 3122}, {799, 310}, {811, 44129}, {813, 291}, {825, 985}, {846, 21196}, {869, 3250}, {872, 4079}, {874, 1921}, {883, 40704}, {890, 1646}, {894, 4374}, {896, 4750}, {898, 3227}, {899, 4728}, {901, 88}, {902, 1635}, {905, 1565}, {906, 3}, {908, 36038}, {910, 676}, {911, 2424}, {919, 105}, {926, 17435}, {927, 34018}, {931, 37870}, {932, 330}, {934, 279}, {940, 43067}, {958, 23880}, {960, 3910}, {966, 7650}, {968, 45745}, {982, 3776}, {984, 824}, {985, 4817}, {1001, 4762}, {1014, 17096}, {1015, 764}, {1016, 668}, {1017, 3251}, {1018, 10}, {1019, 17205}, {1020, 3668}, {1022, 6549}, {1023, 519}, {1025, 9436}, {1026, 3912}, {1030, 31947}, {1042, 7216}, {1054, 21204}, {1055, 14413}, {1100, 4977}, {1101, 4556}, {1104, 29162}, {1110, 101}, {1111, 23100}, {1124, 6364}, {1125, 4978}, {1146, 42455}, {1155, 1638}, {1185, 2978}, {1191, 8712}, {1212, 6362}, {1213, 30591}, {1214, 17094}, {1253, 657}, {1255, 4608}, {1262, 934}, {1265, 15416}, {1275, 4569}, {1279, 6084}, {1281, 27951}, {1284, 7212}, {1290, 21907}, {1292, 277}, {1293, 8056}, {1308, 34578}, {1309, 16082}, {1319, 30725}, {1331, 63}, {1332, 69}, {1333, 3733}, {1334, 4041}, {1335, 6365}, {1376, 4885}, {1384, 30234}, {1400, 4017}, {1402, 7180}, {1403, 43051}, {1407, 43932}, {1412, 7203}, {1414, 1434}, {1415, 56}, {1420, 30719}, {1429, 43041}, {1437, 7254}, {1438, 1027}, {1444, 15419}, {1445, 31605}, {1449, 4778}, {1459, 3942}, {1461, 269}, {1462, 43930}, {1477, 37626}, {1492, 14621}, {1495, 14399}, {1500, 4705}, {1501, 1980}, {1575, 3837}, {1576, 1333}, {1577, 21207}, {1580, 4107}, {1615, 17427}, {1617, 43049}, {1621, 17494}, {1624, 18603}, {1625, 18180}, {1633, 4000}, {1634, 16696}, {1635, 1647}, {1691, 4164}, {1698, 4823}, {1707, 3798}, {1724, 29013}, {1726, 21184}, {1730, 23723}, {1734, 116}, {1740, 21191}, {1742, 21195}, {1743, 3667}, {1757, 2786}, {1759, 20517}, {1760, 21178}, {1761, 21187}, {1763, 21174}, {1764, 23799}, {1766, 21186}, {1769, 42754}, {1783, 4}, {1791, 15420}, {1792, 15411}, {1813, 77}, {1824, 2501}, {1826, 24006}, {1838, 23595}, {1897, 92}, {1911, 3572}, {1914, 659}, {1918, 798}, {1919, 3248}, {1922, 875}, {1946, 7117}, {1953, 21102}, {1958, 17215}, {1960, 2087}, {1962, 4988}, {1964, 21123}, {1977, 8027}, {1978, 561}, {1979, 38238}, {1980, 1977}, {1983, 36}, {1989, 43082}, {2078, 43050}, {2087, 6550}, {2099, 43052}, {2108, 25381}, {2140, 19594}, {2149, 109}, {2162, 43931}, {2170, 21132}, {2173, 11125}, {2174, 2605}, {2175, 3063}, {2176, 4083}, {2177, 4893}, {2183, 1769}, {2193, 23189}, {2194, 7252}, {2195, 1024}, {2200, 810}, {2203, 43925}, {2205, 669}, {2209, 20979}, {2210, 8632}, {2214, 43927}, {2220, 4057}, {2222, 2006}, {2223, 665}, {2238, 4010}, {2242, 4378}, {2243, 4809}, {2251, 1960}, {2268, 17418}, {2269, 17420}, {2270, 7661}, {2273, 832}, {2275, 3777}, {2276, 1491}, {2280, 4724}, {2283, 241}, {2284, 518}, {2287, 7253}, {2291, 35348}, {2292, 21124}, {2293, 21127}, {2294, 23752}, {2295, 2533}, {2298, 4581}, {2300, 6371}, {2308, 4979}, {2310, 42462}, {2316, 23838}, {2318, 8611}, {2321, 4086}, {2323, 3738}, {2324, 8058}, {2325, 4768}, {2328, 1021}, {2329, 3907}, {2330, 3287}, {2345, 2517}, {2347, 6615}, {2352, 43060}, {2361, 654}, {2397, 3262}, {2398, 30807}, {2423, 15635}, {2425, 1455}, {2426, 910}, {2427, 517}, {2522, 26933}, {2605, 7202}, {2611, 21141}, {2617, 17167}, {2640, 21200}, {2643, 21131}, {2650, 23755}, {2702, 1929}, {2703, 17946}, {2720, 34051}, {2748, 34892}, {2806, 46533}, {2911, 15313}, {2975, 17496}, {3052, 4394}, {3057, 21120}, {3061, 3810}, {3063, 3271}, {3119, 23615}, {3121, 8034}, {3126, 35094}, {3158, 4521}, {3185, 6589}, {3198, 6587}, {3208, 4147}, {3217, 42312}, {3218, 4453}, {3219, 4467}, {3230, 891}, {3234, 24014}, {3239, 24026}, {3240, 4776}, {3242, 30520}, {3246, 6009}, {3247, 28147}, {3248, 21143}, {3250, 4475}, {3251, 35092}, {3257, 903}, {3287, 4459}, {3290, 23770}, {3293, 4129}, {3294, 4151}, {3306, 21183}, {3309, 4904}, {3310, 42753}, {3361, 30723}, {3434, 26546}, {3496, 4142}, {3501, 17072}, {3509, 4458}, {3550, 31286}, {3570, 350}, {3573, 239}, {3579, 41800}, {3616, 4801}, {3659, 16015}, {3666, 3004}, {3669, 1358}, {3678, 7265}, {3679, 4791}, {3681, 25259}, {3682, 24018}, {3683, 4976}, {3684, 3716}, {3686, 4985}, {3689, 1639}, {3699, 312}, {3708, 21134}, {3709, 4516}, {3711, 4944}, {3715, 4820}, {3721, 3801}, {3722, 6546}, {3723, 28175}, {3724, 21828}, {3729, 20907}, {3730, 1734}, {3731, 28161}, {3732, 3673}, {3733, 16726}, {3736, 4481}, {3737, 17197}, {3747, 21832}, {3749, 11068}, {3751, 28846}, {3758, 4406}, {3768, 19945}, {3783, 4486}, {3799, 3661}, {3807, 33931}, {3864, 23596}, {3870, 4468}, {3882, 4357}, {3888, 3662}, {3900, 1146}, {3903, 257}, {3908, 599}, {3909, 17184}, {3913, 20317}, {3915, 4498}, {3930, 4088}, {3935, 30565}, {3939, 9}, {3949, 4064}, {3950, 4404}, {3952, 321}, {3954, 826}, {3960, 4089}, {3973, 4962}, {3990, 520}, {3997, 4761}, {3998, 3265}, {4016, 21121}, {4024, 1109}, {4033, 313}, {4036, 338}, {4040, 17761}, {4041, 21044}, {4053, 6370}, {4055, 822}, {4063, 21208}, {4064, 20902}, {4069, 2321}, {4076, 646}, {4079, 2643}, {4083, 21138}, {4103, 1089}, {4105, 3119}, {4115, 4647}, {4118, 21110}, {4130, 4081}, {4162, 4534}, {4169, 3992}, {4183, 17926}, {4184, 16751}, {4203, 27345}, {4220, 26146}, {4222, 17922}, {4225, 16754}, {4236, 16752}, {4238, 15149}, {4242, 17923}, {4251, 4040}, {4253, 4905}, {4273, 4833}, {4357, 4509}, {4360, 20949}, {4361, 4408}, {4363, 4411}, {4366, 27855}, {4367, 7200}, {4378, 4403}, {4383, 4106}, {4386, 4874}, {4390, 4474}, {4391, 34387}, {4394, 3756}, {4397, 23978}, {4413, 45320}, {4421, 31287}, {4426, 814}, {4427, 4359}, {4435, 4124}, {4436, 3739}, {4449, 21139}, {4455, 39786}, {4463, 33294}, {4482, 3761}, {4511, 3904}, {4512, 4765}, {4521, 4939}, {4524, 36197}, {4551, 226}, {4552, 1441}, {4553, 141}, {4554, 6063}, {4555, 20568}, {4556, 757}, {4557, 37}, {4558, 1444}, {4559, 65}, {4561, 304}, {4562, 334}, {4564, 664}, {4565, 1014}, {4566, 1446}, {4567, 99}, {4568, 1930}, {4570, 662}, {4571, 345}, {4572, 20567}, {4574, 72}, {4575, 1790}, {4576, 16703}, {4578, 346}, {4579, 894}, {4583, 18895}, {4584, 18827}, {4585, 320}, {4586, 870}, {4587, 78}, {4588, 89}, {4589, 40017}, {4590, 4623}, {4592, 17206}, {4595, 6376}, {4596, 32014}, {4597, 20569}, {4598, 6384}, {4600, 799}, {4601, 670}, {4603, 32010}, {4604, 39704}, {4606, 5936}, {4607, 31002}, {4610, 873}, {4612, 261}, {4617, 479}, {4619, 7045}, {4620, 4625}, {4621, 7033}, {4626, 23062}, {4628, 82}, {4629, 40438}, {4631, 18021}, {4636, 2185}, {4638, 679}, {4640, 17069}, {4641, 4897}, {4649, 28840}, {4658, 4960}, {4674, 4049}, {4705, 115}, {4729, 21950}, {4752, 3679}, {4756, 28605}, {4767, 4671}, {4777, 4957}, {4781, 24589}, {4792, 23598}, {4845, 23893}, {4849, 14321}, {4850, 44435}, {4867, 23884}, {4895, 4530}, {4936, 4546}, {4972, 27712}, {4998, 4554}, {5220, 28898}, {5222, 30804}, {5227, 23874}, {5247, 6002}, {5257, 4815}, {5275, 7662}, {5280, 830}, {5281, 27417}, {5283, 784}, {5284, 26824}, {5285, 16612}, {5291, 2787}, {5293, 8045}, {5297, 4789}, {5302, 26732}, {5360, 3569}, {5375, 149}, {5376, 4555}, {5377, 666}, {5378, 4562}, {5379, 648}, {5380, 671}, {5381, 889}, {5383, 18830}, {5384, 4586}, {5385, 4597}, {5386, 43097}, {5388, 46132}, {5389, 43098}, {5452, 11934}, {5467, 16702}, {5468, 16741}, {5524, 45661}, {5526, 3887}, {5540, 21201}, {5541, 21198}, {5546, 21}, {5548, 1320}, {5549, 2320}, {5692, 23876}, {5904, 23875}, {6011, 37887}, {6014, 39963}, {6056, 36054}, {6064, 4631}, {6065, 644}, {6078, 1280}, {6079, 36805}, {6099, 2990}, {6135, 1123}, {6136, 1336}, {6161, 6547}, {6163, 4440}, {6184, 3126}, {6332, 17880}, {6335, 264}, {6364, 22107}, {6365, 22106}, {6386, 1502}, {6516, 348}, {6517, 7183}, {6540, 32018}, {6551, 5376}, {6558, 341}, {6574, 1219}, {6577, 39797}, {6586, 17463}, {6591, 2969}, {6602, 4105}, {6603, 6366}, {6606, 31618}, {6614, 738}, {6631, 18159}, {6632, 7035}, {6648, 31643}, {6649, 7196}, {6726, 6730}, {6733, 174}, {6742, 30690}, {7012, 653}, {7031, 4401}, {7035, 1978}, {7045, 658}, {7070, 14331}, {7074, 14298}, {7075, 25128}, {7085, 2522}, {7115, 108}, {7122, 20981}, {7128, 36118}, {7192, 16727}, {7234, 16592}, {7239, 2887}, {7252, 18191}, {7257, 28660}, {7259, 1043}, {7265, 17886}, {7283, 17899}, {7339, 4617}, {8012, 6608}, {8050, 40013}, {8059, 1422}, {8269, 30705}, {8298, 27929}, {8300, 4375}, {8545, 30181}, {8551, 6607}, {8626, 14438}, {8632, 27846}, {8640, 6377}, {8641, 14936}, {8649, 14421}, {8652, 25417}, {8673, 18187}, {8683, 16602}, {8685, 7132}, {8687, 961}, {8691, 34914}, {8693, 1002}, {8694, 25430}, {8697, 26745}, {8699, 36603}, {8701, 1255}, {8706, 32017}, {8707, 30710}, {8708, 32009}, {8709, 32020}, {8750, 19}, {8804, 17898}, {9265, 9267}, {9266, 9263}, {9268, 3257}, {9272, 9460}, {9278, 18014}, {9282, 42555}, {9310, 4449}, {9323, 9317}, {9359, 21211}, {9362, 18149}, {9456, 23345}, {10330, 16707}, {10471, 23594}, {10481, 23599}, {11124, 46101}, {11634, 16756}, {12329, 2509}, {13136, 18816}, {13138, 189}, {13397, 15474}, {13444, 14596}, {13589, 33129}, {14298, 38357}, {14392, 33573}, {14543, 17863}, {14571, 39534}, {14589, 3035}, {14733, 34056}, {14827, 8641}, {15329, 18609}, {15439, 2982}, {15455, 20565}, {15492, 28221}, {15599, 24775}, {15624, 6586}, {15632, 26611}, {15742, 6335}, {16468, 4785}, {16514, 30665}, {16544, 21190}, {16545, 21175}, {16546, 21176}, {16547, 21179}, {16548, 21180}, {16550, 20516}, {16551, 21182}, {16552, 8714}, {16555, 21193}, {16556, 21194}, {16557, 21197}, {16558, 21199}, {16560, 21202}, {16562, 21203}, {16568, 21205}, {16571, 21206}, {16574, 23785}, {16610, 4927}, {16666, 28209}, {16667, 28225}, {16669, 28217}, {16670, 6006}, {16671, 39386}, {16672, 28151}, {16673, 28155}, {16675, 28165}, {16676, 28169}, {16680, 41015}, {16695, 16742}, {16751, 17198}, {16777, 4802}, {16783, 29186}, {16784, 2832}, {16785, 4160}, {16788, 29066}, {16814, 28183}, {16884, 28195}, {16885, 4926}, {16969, 29226}, {16974, 29025}, {17103, 16737}, {17127, 4380}, {17160, 21606}, {17277, 20954}, {17285, 18072}, {17349, 23794}, {17438, 21103}, {17439, 21105}, {17440, 21106}, {17441, 21107}, {17442, 21108}, {17443, 21111}, {17444, 21112}, {17445, 21113}, {17447, 21114}, {17449, 21115}, {17450, 21116}, {17451, 21118}, {17452, 21119}, {17453, 21122}, {17456, 21125}, {17457, 21126}, {17458, 21142}, {17459, 21128}, {17460, 21129}, {17461, 21130}, {17463, 21133}, {17464, 20504}, {17467, 21135}, {17472, 21136}, {17474, 23738}, {17476, 23759}, {17477, 23777}, {17478, 21137}, {17494, 40619}, {17596, 21212}, {17735, 9508}, {17738, 20518}, {17745, 42325}, {17754, 24720}, {17756, 44429}, {17780, 4358}, {17784, 25009}, {17796, 8674}, {17924, 2973}, {17943, 1931}, {17944, 19623}, {18026, 331}, {18047, 1909}, {18082, 18070}, {18197, 23824}, {18206, 23829}, {18266, 5029}, {18344, 8735}, {18669, 21109}, {18758, 45902}, {18830, 6383}, {18889, 23351}, {18900, 46386}, {19622, 42741}, {19624, 22108}, {20228, 6363}, {20229, 2488}, {20277, 23727}, {20294, 17878}, {20331, 36848}, {20336, 3267}, {20356, 20505}, {20357, 20506}, {20358, 20507}, {20359, 20508}, {20360, 20509}, {20361, 20510}, {20362, 20511}, {20363, 20512}, {20364, 20513}, {20365, 20514}, {20366, 20515}, {20367, 20520}, {20368, 20521}, {20369, 20522}, {20370, 20523}, {20371, 20524}, {20372, 20525}, {20373, 20526}, {20683, 24290}, {20691, 21051}, {20693, 18004}, {20760, 25098}, {20777, 22092}, {20963, 6372}, {20970, 4983}, {20979, 3123}, {20980, 4014}, {20989, 47227}, {21000, 2516}, {21011, 2618}, {21035, 8061}, {21080, 20910}, {21173, 24237}, {21272, 26563}, {21318, 21117}, {21329, 23735}, {21346, 23748}, {21348, 23772}, {21362, 3663}, {21363, 23801}, {21381, 21209}, {21383, 4425}, {21389, 21210}, {21390, 24225}, {21760, 6373}, {21781, 9269}, {21793, 4782}, {21802, 7927}, {21805, 4120}, {21807, 12077}, {21814, 3005}, {21816, 6367}, {21833, 8029}, {21839, 690}, {21858, 31946}, {21859, 12}, {21860, 8819}, {21874, 3566}, {21877, 23301}, {21891, 5949}, {21899, 10278}, {21904, 4806}, {22003, 18698}, {22089, 16758}, {22118, 23187}, {22123, 2850}, {22383, 3937}, {23067, 1214}, {23181, 16697}, {23202, 22086}, {23342, 30938}, {23343, 536}, {23344, 44}, {23346, 6610}, {23703, 3911}, {23704, 5853}, {23830, 28582}, {23832, 16610}, {23845, 3752}, {23889, 6629}, {23890, 1323}, {23891, 6381}, {23980, 42757}, {23981, 1465}, {23990, 692}, {23997, 17209}, {24004, 3264}, {24018, 17216}, {24019, 8747}, {24027, 1461}, {24029, 22464}, {24041, 4610}, {24052, 27798}, {24512, 21146}, {25259, 20901}, {25268, 20895}, {25272, 21432}, {25577, 17063}, {26890, 46383}, {27396, 20294}, {27644, 17217}, {27801, 44173}, {27805, 7018}, {27808, 27801}, {27834, 4373}, {27853, 18891}, {28071, 28132}, {28148, 39948}, {28162, 39980}, {28196, 27789}, {28210, 40434}, {28218, 39962}, {28583, 23834}, {28606, 45746}, {28624, 2282}, {28841, 30571}, {28847, 39954}, {29055, 1432}, {29163, 1257}, {29199, 39738}, {29227, 38247}, {29351, 36871}, {30435, 3803}, {30610, 32023}, {30670, 40738}, {30706, 17115}, {30720, 44720}, {30727, 3902}, {30728, 4673}, {30729, 3702}, {30730, 3701}, {30731, 4723}, {31343, 6557}, {31615, 4998}, {31625, 6386}, {32025, 18158}, {32094, 4986}, {32636, 30724}, {32641, 104}, {32642, 911}, {32652, 1436}, {32653, 2217}, {32656, 48}, {32660, 603}, {32661, 1437}, {32665, 106}, {32666, 1438}, {32674, 34}, {32675, 1411}, {32676, 1474}, {32682, 2224}, {32693, 959}, {32698, 915}, {32713, 5317}, {32714, 1119}, {32718, 739}, {32719, 9456}, {32722, 957}, {32735, 1462}, {32736, 2298}, {32739, 31}, {32911, 20295}, {32922, 20950}, {32925, 20909}, {32926, 20952}, {32932, 24622}, {32937, 21438}, {32942, 18071}, {33761, 17161}, {33854, 46403}, {33882, 4491}, {33946, 33930}, {33948, 33935}, {33951, 33940}, {33952, 33945}, {33954, 18077}, {34067, 292}, {34069, 40746}, {34071, 87}, {34073, 2163}, {34074, 2334}, {34075, 37129}, {34077, 23355}, {34080, 3445}, {34247, 21348}, {34594, 39747}, {34858, 2423}, {35148, 18032}, {35196, 39177}, {35280, 5222}, {35281, 3306}, {35309, 15523}, {35310, 3925}, {35326, 354}, {35327, 1100}, {35338, 142}, {35341, 4847}, {35342, 1125}, {35349, 9581}, {35445, 46919}, {36037, 34234}, {36039, 103}, {36049, 84}, {36050, 13478}, {36054, 1364}, {36059, 222}, {36072, 2306}, {36073, 33654}, {36074, 5221}, {36075, 32636}, {36086, 673}, {36087, 675}, {36101, 2400}, {36106, 37203}, {36107, 917}, {36118, 1847}, {36147, 1220}, {36238, 31129}, {36277, 4786}, {36797, 31623}, {36802, 36796}, {36804, 20566}, {36863, 6382}, {37133, 871}, {37135, 6650}, {37137, 7249}, {37138, 27475}, {37141, 1440}, {37211, 30598}, {37212, 1268}, {37223, 39749}, {37593, 4841}, {37619, 24782}, {37659, 46402}, {37679, 23813}, {37680, 21297}, {37681, 23819}, {38347, 42454}, {38828, 19604}, {38832, 18197}, {38902, 30235}, {39026, 16560}, {39293, 34085}, {39798, 40086}, {40091, 21385}, {40116, 36122}, {40117, 40836}, {40131, 47123}, {40400, 23836}, {40499, 3061}, {40519, 39798}, {40521, 594}, {40523, 40505}, {40576, 37800}, {40577, 37771}, {40728, 788}, {41013, 14618}, {41239, 29051}, {41267, 2084}, {41314, 35543}, {41333, 4455}, {41405, 1054}, {41676, 16747}, {42084, 14442}, {42462, 1090}, {42655, 46460}, {42700, 6563}, {42701, 3268}, {42702, 684}, {42704, 30474}, {42713, 35522}, {42716, 3260}, {42717, 325}, {42718, 35516}, {42719, 35517}, {42720, 3263}, {42721, 3266}, {42723, 3006}, {42758, 42770}, {43049, 40615}, {43065, 2826}, {43076, 39950}, {43192, 234}, {43214, 47124}, {43290, 18743}, {43929, 43921}, {44178, 26721}, {44327, 309}, {44670, 47137}, {44717, 6516}, {44765, 2995}, {45215, 18175}, {45233, 24129}, {45874, 41799}, {46101, 42547}, {46102, 18026}, {46148, 38}, {46163, 46149}, {46177, 17451}, {46393, 35015}, {46640, 8048}, {46973, 4422}, {47318, 14616}, {47408, 42769}
X(100) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 244, 3315}, {1, 404, 5253}, {1, 750, 37633}, {1, 1054, 244}, {1, 8715, 3871}, {1, 15015, 214}, {1, 25438, 13278}, {1, 25440, 404}, {2, 11, 31272}, {2, 55, 1621}, {2, 149, 11}, {2, 1621, 5284}, {2, 2550, 33108}, {2, 3434, 11680}, {2, 5274, 10584}, {2, 17784, 3434}, {2, 20075, 497}, {2, 20095, 149}, {2, 26007, 31226}, {2, 26073, 24988}, {2, 26795, 27134}, {2, 26846, 27190}, {2, 27134, 28743}, {2, 33110, 2886}, {2, 34607, 34611}, {3, 8, 2975}, {3, 104, 38693}, {3, 2932, 17100}, {3, 2975, 5303}, {3, 5687, 8}, {3, 12645, 32153}, {3, 12773, 38602}, {3, 32141, 11491}, {3, 33814, 34474}, {3, 38665, 38669}, {3, 45145, 47045}, {4, 5552, 11681}, {6, 1979, 1977}, {6, 37540, 17126}, {8, 17100, 104}, {8, 17740, 33089}, {9, 35445, 35258}, {10, 21, 5260}, {10, 35, 21}, {10, 21098, 21054}, {10, 32917, 5235}, {11, 149, 10707}, {11, 3035, 2}, {11, 6174, 3035}, {11, 31235, 6667}, {20, 7080, 3436}, {31, 43, 32911}, {35, 80, 10058}, {36, 7972, 10074}, {37, 21899, 21833}, {40, 78, 3869}, {40, 6796, 411}, {42, 171, 81}, {43, 3550, 31}, {46, 3811, 3868}, {55, 1376, 2}, {55, 4413, 1001}, {55, 4423, 4428}, {55, 11502, 497}, {55, 36497, 4972}, {56, 3913, 145}, {57, 3158, 3870}, {57, 3870, 3873}, {57, 37736, 5083}, {57, 41553, 14151}, {63, 200, 3681}, {65, 34772, 34195}, {65, 41541, 12739}, {75, 20940, 20901}, {88, 3315, 244}, {101, 1018, 644}, {101, 4752, 1023}, {104, 34474, 3}, {109, 3939, 1331}, {109, 4551, 651}, {119, 11248, 12775}, {119, 13199, 10724}, {145, 4188, 56}, {149, 3035, 31272}, {165, 200, 63}, {165, 1768, 46684}, {165, 5531, 1768}, {190, 3699, 3952}, {190, 3952, 4756}, {190, 17780, 4767}, {190, 43290, 3699}, {197, 37577, 22}, {198, 346, 38869}, {200, 1768, 46685}, {210, 4640, 3219}, {214, 5541, 1320}, {214, 8715, 10087}, {214, 9324, 14193}, {228, 32932, 11688}, {230, 21956, 17737}, {238, 899, 37680}, {244, 678, 3722}, {244, 1054, 88}, {244, 3722, 1}, {329, 9778, 44447}, {345, 10327, 32862}, {355, 26285, 6906}, {376, 12248, 38761}, {382, 38755, 22799}, {404, 3871, 1}, {405, 9709, 9780}, {474, 3295, 3616}, {480, 11495, 144}, {484, 41689, 11571}, {497, 20075, 34611}, {497, 34607, 20075}, {594, 1030, 38871}, {612, 17594, 28606}, {631, 5082, 10527}, {643, 662, 110}, {644, 35280, 3573}, {650, 1252, 5375}, {650, 14589, 1252}, {658, 664, 35312}, {664, 6516, 934}, {667, 1016, 9266}, {678, 9324, 88}, {692, 4553, 1332}, {748, 9350, 16569}, {748, 16569, 37687}, {750, 2177, 1}, {756, 846, 33761}, {896, 21805, 1757}, {899, 902, 238}, {944, 18861, 104}, {958, 5217, 4189}, {984, 17601, 4414}, {993, 5010, 17549}, {997, 5119, 3877}, {1001, 1376, 4413}, {1001, 4413, 2}, {1018, 1023, 4752}, {1018, 1026, 3799}, {1018, 35342, 101}, {1023, 4752, 644}, {1054, 3722, 3315}, {1086, 17724, 33148}, {1125, 21630, 16173}, {1145, 2932, 104}, {1145, 6224, 12531}, {1145, 9945, 6224}, {1145, 17100, 2975}, {1145, 33814, 4996}, {1158, 17857, 12528}, {1211, 44419, 33083}, {1259, 11500, 3436}, {1260, 7580, 329}, {1279, 16610, 7292}, {1293, 31343, 27834}, {1320, 3871, 13278}, {1320, 14193, 88}, {1329, 6284, 5046}, {1331, 35281, 109}, {1376, 1621, 9342}, {1376, 4421, 55}, {1376, 13205, 11}, {1385, 10914, 4861}, {1387, 12732, 9802}, {1387, 34123, 3616}, {1420, 2136, 36846}, {1445, 3174, 30628}, {1479, 26364, 4193}, {1575, 1914, 33854}, {1697, 5438, 19861}, {1697, 19861, 3890}, {1698, 5248, 5047}, {1698, 37718, 6702}, {1706, 3601, 19860}, {1738, 3011, 33129}, {1757, 5524, 21805}, {1788, 3189, 12649}, {1837, 37828, 25005}, {1897, 4242, 108}, {1958, 22370, 37659}, {1961, 1962, 1255}, {1977, 1979, 739}, {2078, 3911, 7677}, {2110, 4366, 38878}, {2246, 14439, 9}, {2276, 4386, 5276}, {2330, 17792, 15988}, {2550, 5218, 2}, {2886, 5432, 2}, {2886, 34612, 33110}, {2887, 29846, 30831}, {2932, 12331, 6224}, {3035, 6154, 149}, {3035, 6667, 31235}, {3035, 20095, 10707}, {3035, 35023, 6174}, {3052, 4383, 17127}, {3149, 10306, 962}, {3198, 3998, 4463}, {3240, 17126, 6}, {3242, 17595, 4392}, {3303, 25524, 3622}, {3474, 25568, 5905}, {3573, 3799, 644}, {3576, 6264, 11715}, {3579, 4420, 11684}, {3583, 3814, 37375}, {3617, 4189, 958}, {3622, 17572, 25524}, {3626, 5267, 5258}, {3632, 7280, 8666}, {3634, 5259, 17536}, {3679, 5010, 993}, {3679, 9897, 15863}, {3683, 3740, 27065}, {3685, 5205, 4358}, {3699, 3952, 4767}, {3699, 4427, 4756}, {3699, 4571, 4578}, {3699, 43290, 17780}, {3712, 3932, 32849}, {3742, 3748, 29817}, {3744, 3752, 7191}, {3750, 17122, 3720}, {3871, 25440, 5253}, {3873, 9352, 57}, {3882, 35338, 3888}, {3888, 4579, 651}, {3893, 37605, 11260}, {3895, 35262, 1}, {3923, 32931, 41242}, {3925, 4995, 6690}, {3925, 6690, 2}, {3939, 35338, 651}, {3952, 4427, 190}, {3952, 4781, 4427}, {3952, 17780, 3699}, {3957, 27003, 354}, {3961, 17596, 38}, {3980, 29670, 32771}, {3996, 14829, 17135}, {4190, 10528, 388}, {4427, 15343, 36237}, {4427, 17780, 3952}, {4427, 43290, 4767}, {4433, 4447, 6542}, {4436, 4557, 190}, {4436, 23832, 4781}, {4450, 5741, 4388}, {4512, 8580, 3305}, {4551, 23703, 109}, {4557, 8683, 23845}, {4646, 37539, 17016}, {4682, 37593, 17019}, {4756, 4767, 3952}, {4781, 17780, 190}, {4781, 43290, 4756}, {4848, 12437, 41575}, {4881, 38460, 1319}, {4996, 6224, 104}, {4996, 12331, 12531}, {4996, 17100, 3}, {5046, 20066, 6284}, {5083, 37736, 14151}, {5083, 41553, 37736}, {5284, 9342, 2}, {5432, 34612, 2886}, {5437, 10389, 4666}, {5440, 33598, 22935}, {5528, 6594, 1156}, {5531, 46684, 13243}, {5541, 15015, 1}, {5660, 34789, 21635}, {5687, 10609, 38665}, {5687, 17100, 12531}, {5697, 30144, 5330}, {5880, 17718, 31019}, {6154, 6174, 11}, {6154, 35023, 2}, {6174, 20095, 31272}, {6184, 14936, 23988}, {6244, 7580, 9778}, {6667, 31235, 2}, {6684, 10902, 6986}, {6700, 10624, 41012}, {6713, 38760, 631}, {6911, 10679, 5603}, {6942, 12245, 11249}, {6985, 35448, 6361}, {7081, 32932, 321}, {7081, 37619, 11688}, {7109, 21779, 38853}, {7270, 19842, 16049}, {7354, 12607, 20060}, {7972, 33337, 10031}, {8050, 40519, 34594}, {8299, 8301, 105}, {8299, 27628, 24542}, {8580, 31508, 4512}, {8616, 9350, 37687}, {8616, 16569, 748}, {8683, 23845, 23832}, {8694, 35339, 4606}, {8715, 10090, 13278}, {8715, 25440, 1}, {9945, 33814, 2932}, {10087, 10090, 1}, {10087, 25438, 3871}, {10090, 25438, 1320}, {10310, 11500, 20}, {10609, 33814, 17100}, {10707, 31272, 11}, {10711, 10728, 10742}, {10738, 38752, 5}, {10742, 11698, 10711}, {11248, 11499, 4}, {11499, 11517, 5552}, {11501, 11509, 388}, {11826, 18242, 37437}, {11827, 37725, 12762}, {12331, 33814, 104}, {12331, 34474, 38669}, {12531, 34474, 5303}, {12690, 34122, 12019}, {12735, 25416, 3241}, {12773, 38602, 104}, {13269, 19112, 10755}, {13270, 19113, 10755}, {13271, 13274, 149}, {13278, 13279, 1320}, {14740, 46684, 63}, {14740, 46685, 3681}, {16593, 26007, 2}, {17136, 21272, 664}, {17495, 20045, 32922}, {17719, 24715, 3120}, {17725, 33149, 33143}, {18794, 20663, 20332}, {19112, 19113, 6}, {19914, 38722, 104}, {20060, 37256, 7354}, {20067, 36004, 15326}, {20344, 26231, 30787}, {20533, 24582, 30857}, {20872, 20989, 23}, {23703, 35338, 35281}, {24169, 29656, 33123}, {24542, 24988, 2}, {24646, 24647, 2}, {24648, 24649, 3873}, {24885, 25652, 2}, {24938, 25448, 2}, {25882, 25968, 2}, {26031, 26095, 2}, {26446, 32613, 1006}, {26582, 26629, 2}, {27009, 27072, 2}, {27027, 27149, 2}, {27256, 27306, 2}, {28743, 40865, 28999}, {29665, 33131, 3772}, {29846, 32948, 2887}, {29848, 33125, 26128}, {31663, 34790, 3916}, {32755, 32770, 104}, {32850, 32851, 3006}, {32918, 32945, 3741}, {33068, 33126, 17184}, {33079, 33160, 15523}, {33086, 33175, 141}, {33091, 33168, 3703}, {33102, 33153, 3782}, {33814, 38665, 38693}, {34474, 38665, 104}, {34772, 39778, 12739}, {34773, 35451, 104}, {35445, 46917, 9}, {36475, 36528, 2}, {36497, 36559, 2}, {37726, 38760, 6713}, {38629, 38636, 104}, {38631, 38637, 104}, {38643, 38655, 104}, {38646, 38657, 104}, {38669, 38693, 104}

---

X(102) = Λ(INCENTER, ORTHOCENTER)

Trilinears    1/[sin B (sec A - sec B) + sin C (sec A - sec C)] : :
Trilinears    a/[2a^4 - (b + c) a^3 - (b - c)^2 a^2 + (b - c)^2 (b + c) a - (b^2 - c^2)^2] : :
Barycentrics    a^2*(a^4 - 2*a^2*b^2 + b^4 - a^3*c + a^2*b*c + a*b^2*c - b^3*c + a^2*c^2 - 2*a*b*c^2 + b^2*c^2 + a*c^3 + b*c^3 - 2*c^4)*(a^4 - a^3*b + a^2*b^2 + a*b^3 - 2*b^4 + a^2*b*c - 2*a*b^2*c + b^3*c - 2*a^2*c^2 + a*b*c^2 + b^2*c^2 - b*c^3 + c^4) : :
Barycentrics    (sin A)/[sin B (sec A - sec B) + sin C (sec A - sec C)] : :
Tripolars    |sin B (sec A - sec B) + sin C (sec A - sec C)| : :
X(102) = X[10696] - 4 X[11713], 3 X[2] - 4 X[6711], 4 X[117] - 3 X[10709], X[151] - 4 X[6711], 2 X[151] - 3 X[10709], 8 X[6711] - 3 X[10709], 3 X[3] - X[38579], 3 X[3] - 2 X[38607], 2 X[3] + X[38667], 4 X[3] - X[38674], 2 X[3] - 3 X[38691], 4 X[3] - 3 X[38697], X[109] + 2 X[38573], 3 X[109] - 2 X[38579], X[109] - 4 X[38600], 3 X[109] - 4 X[38607], X[109] - 3 X[38691], 2 X[109] - 3 X[38697], 3 X[38573] + X[38579], X[38573] + 2 X[38600], 3 X[38573] + 2 X[38607], 4 X[38573] + X[38674], 2 X[38573] + 3 X[38691], 4 X[38573] + 3 X[38697], X[38579] - 6 X[38600], 2 X[38579] + 3 X[38667], 4 X[38579] - 3 X[38674], 2 X[38579] - 9 X[38691], 4 X[38579] - 9 X[38697], 3 X[38600] - X[38607], 4 X[38600] + X[38667], 8 X[38600] - X[38674], 4 X[38600] - 3 X[38691], 8 X[38600] - 3 X[38697], 4 X[38607] + 3 X[38667], 8 X[38607] - 3 X[38674], 4 X[38607] - 9 X[38691], 8 X[38607] - 9 X[38697], 2 X[38667] + X[38674], X[38667] + 3 X[38691], 2 X[38667] + 3 X[38697], X[38674] - 6 X[38691], X[38674] - 3 X[38697], 4 X[124] - X[10726], 2 X[5] - 3 X[38776], X[10740] - 3 X[38776], 3 X[10716] - X[10732], 3 X[10716] - 2 X[10747], 3 X[3576] - 2 X[11700], 4 X[140] - 5 X[38786], 3 X[165] - 2 X[14690], 3 X[376] - 2 X[38785], X[382] - 3 X[38779], 4 X[548] - 3 X[38778], 5 X[631] - 4 X[6718], 5 X[631] - 6 X[38784], 2 X[6718] - 3 X[38784], 7 X[3090] - 10 X[38787], X[3146] - 4 X[38781], 5 X[3522] - 4 X[38783], 5 X[3616] - 4 X[11727], 7 X[3832] - 12 X[38782], 3 X[5603] - 4 X[11734]

X(102) lies on the circumcircle, the conic {{A,B,C,X(1), X(3)}}, the cubics K269, K685, and these lines: {1, 108}, {2, 117}, {3, 109}, {4, 124}, {5, 10740}, {6, 10757}, {11, 10771}, {19, 282}, {20, 33650}, {24, 41401}, {29, 107}, {30, 2689}, {36, 1795}, {40, 78}, {55, 1361}, {56, 1364}, {57, 12016}, {63, 43347}, {64, 18237}, {73, 947}, {74, 2773}, {77, 934}, {98, 2785}, {99, 332}, {101, 198}, {103, 928}, {104, 3738}, {105, 2814}, {106, 2815}, {110, 283}, {111, 2819}, {112, 284}, {140, 38786}, {165, 14690}, {186, 40081}, {226, 1065}, {376, 38785}, {382, 38779}, {386, 34455}, {476, 7424}, {511, 2701}, {512, 2708}, {513, 2716}, {514, 2723}, {515, 1309}, {516, 929}, {517, 1807}, {518, 2730}, {519, 2731}, {520, 2732}, {521, 2733}, {522, 2734}, {523, 2695}, {524, 2735}, {548, 38778}, {550, 38777}, {572, 29044}, {580, 15440}, {631, 6718}, {901, 2077}, {927, 31637}, {930, 16113}, {933, 35196}, {944, 32704}, {949, 2301}, {958, 3042}, {959, 37530}, {1036, 32691}, {1067, 12053}, {1069, 11249}, {1183, 37732}, {1292, 2835}, {1293, 2841}, {1294, 2846}, {1295, 2849}, {1296, 2852}, {1297, 2853}, {1304, 2075}, {1305, 4329}, {1311, 2399}, {1350, 28291}, {1376, 3040}, {1385, 7100}, {1420, 30239}, {1457, 36067}, {1499, 2768}, {1503, 2769}, {1633, 33810}, {1657, 38780}, {1794, 15439}, {1897, 31866}, {2291, 2432}, {2338, 40116}, {2359, 8687}, {2715, 5060}, {2728, 14203}, {2743, 13528}, {2751, 3309}, {2757, 3667}, {2762, 6000}, {2765, 6001}, {2968, 18339}, {3090, 38787}, {3146, 38781}, {3422, 36076}, {3430, 6011}, {3478, 9088}, {3522, 38783}, {3616, 11727}, {3832, 38782}, {4262, 26716}, {5053, 32685}, {5450, 21228}, {5603, 11734}, {5759, 44876}, {5840, 10777}, {6014, 6244}, {6614, 7215}, {7015, 29055}, {7152, 8064}, {8607, 32683}, {8686, 41343}, {9057, 36007}, {9058, 35996}, {9059, 10327}, {9107, 35973}, {10680, 37489}, {10902, 40442}, {11014, 26711}, {13329, 32682}, {13397, 36986}, {14127, 14987}, {15379, 35187}, {15501, 39763}, {16132, 44063}, {18446, 26706}, {21740, 30250}, {22765, 34921}, {24466, 39444}, {26712, 30272}, {32643, 32689}, {32667, 32688}, {32674, 47411}, {36984, 46964}

X(102) = midpoint of X(i) and X(j) for these {i,j}: {3, 38573}, {20, 33650}, {109, 38667}, {1657, 38780}
X(102) = reflection of X(i) in X(j) for these {i,j}: {1, 11713}, {3, 38600}, {4, 124}, {109, 3}, {117, 6711}, {151, 117}, {1897, 31866}, {10696, 1}, {10709, 2}, {10726, 4}, {10732, 10747}, {10740, 5}, {10757, 6}, {10771, 11}, {18339, 2968}, {38579, 38607}, {38667, 38573}, {38674, 109}, {38697, 38691}, {38777, 550}
X(102) = isogonal conjugate of X(515)
X(102) = isotomic conjugate of X(35516)
X(102) = anticomplement of X(117)
X(102) = complement of X(151)
X(102) = anticomplement of the anticomplement of X(6711)
X(102) = anticomplement of the isogonal conjugate of X(15379)
X(102) = complement of the isogonal conjugate of X(34180)
X(102) = isogonal conjugate of the anticomplement of X(515)
X(102) = isogonal conjugate of the complement of X(515)
X(102) = isotomic conjugate of the anticomplement of X(8607)
X(102) = isogonal conjugate of the isotomic conjugate of X(34393)
X(102) = Thomson isogonal conjugate of X(522)
X(102) = Collings transform of X(i) for these i: {124, 3137, 38983}
X(102) = X(15379)-anticomplementary conjugate of X(8)
X(102) = X(34180)-complementary conjugate of X(10)
X(102) = X(21)-beth conjugate of X(108)
X(102) = circumcircle-antipode of X(109)
X(102) = Λ(X(1), X(4))
X(102) = trilinear pole of line X(6)X(652)
X(102) = Ψ(X(6), X(652))
X(102) = Ψ(X(1), X(521))
X(102) = Ψ(X(108), X(1))
X(102) = Ψ(X(651), X(63))
X(102) = Ψ(X(653), X(2))
X(102) = trilinear product of circumcircle intercepts of line X(1)X(521)
X(102) = trilinear pole wrt 2nd circumperp triangle of line X(971)X(1001)
X(102) = the point of intersection, other than A, B, and C, of the circumcircle and hyperbola {{A,B,C,X(4),X(58)}}
X(102) = reflection of X(2695) in the Euler line
X(102) = reflection of X(2708) in the Brocard axis
X(102) = reflection of X(2716) in line X(1)X(3)
X(102) = X(131)-of-excentral-triangle
X(102) = X(136)-of-hexyl-triangle
X(102) = X(925)-of-2nd-circumperp-triangle
X(102) = Thomson-isogonal conjugate of X(522)
X(102) = Lucas-isogonal conjugate of X(522)
X(102) = Cundy-Parry Phi transform of X(10571)
X(102) = Cundy-Parry Psi transform of X(10570)
X(102) = Ψ(X(19), X(650))
X(102) = polar-circle-inverse of nine-point circle antipode of X(38977)
X(102) = X(36100)-Ceva conjugate of X(15629)
X(102) = X(i)-cross conjugate of X(j) for these (i,j): {3, 15379}, {1457, 1}, {2342, 2316}, {8607, 2}, {8677, 109}, {46359, 34393} X(102) = X(i)-isoconjugate of X(j) for these (i,j): {1, 515}, {2, 2182}, {4, 46974}, {8, 1455}, {9, 34050}, {31, 35516}, {63, 8755}, {80, 11700}, {102, 24034}, {108, 39471}, {109, 14304}, {521, 23987}, {649, 42718}, {650, 2406}, {652, 24035}, {653, 46391}, {656, 7452}, {2425, 4391}, {6087, 13138}, {23986, 36100}, {34393, 42076}, {36037, 42755}, {36121, 38554}
X(102) = cevapoint of X(i) and X(j) for these (i,j): {48, 2361}, {55, 2183}, {523, 3137}
X(102) = crosssum of X(40) and X(6326)
X(102) = crossdifference of every pair of points on line {23986, 46391}
X(102) = barycentric product X(i)*X(j) for these {i,j}: {1, 36100}, {6, 34393}, {7, 15629}, {63, 36121}, {75, 32677}, {83, 46359}, {92, 36055}, {109, 2399}, {664, 2432}, {1262, 15633}, {4391, 36040}, {6081, 14837}, {6332, 36067}, {32643, 35519}, {32667, 35518}
X(102) = barycentric quotient X(i)/X(j) for these {i,j}: {2, 35516}, {6, 515}, {25, 8755}, {31, 2182}, {48, 46974}, {56, 34050}, {100, 42718}, {108, 24035}, {109, 2406}, {112, 7452}, {604, 1455}, {650, 14304}, {652, 39471}, {1946, 46391}, {2182, 24034}, {2399, 35519}, {2432, 522}, {3310, 42755}, {6081, 44327}, {7113, 11700}, {8607, 117}, {15379, 2988}, {15629, 8}, {15633, 23978}, {32643, 109}, {32667, 108}, {32674, 23987}, {32677, 1}, {32683, 9056}, {32700, 26704}, {32720, 26715}, {34393, 76}, {35183, 44765}, {36040, 651}, {36055, 63}, {36067, 653}, {36100, 75}, {36121, 92}, {46359, 141}
X(102) = {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {2, 151, 117}, {3, 109, 38697}, {3, 38501, 38559}, {3, 38579, 38607}, {3, 38600, 38691}, {3, 38667, 38674}, {109, 38691, 3}, {117, 151, 10709}, {117, 6711, 2}, {6718, 38784, 631}, {10716, 10732, 10747}, {10740, 38776, 5}, {38573, 38600, 109}, {38573, 38691, 38674}, {38579, 38607, 109}, {38600, 38667, 38697}, {38667, 38691, 109}, {38674, 38697, 109}

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