X668

TRILINEAR POLE OF LINE X2X_37

As the trilinear product of Steiner circumellipse antipodes, X668 lies on conic {A, B, C,X668,X789}} with center X6376 and perspector X75. (Randy Hutson, July 11, 2019)
< A B C >: Reference Triangle △ABC [ A B ]: Sideline AB (Base c = 1) [ B C ]: Sideline BC (Side a) [ C A ]: Sideline CA (Side b) { 8, 76 }: Central Line L(8, 76) { 99, 100 }: Central Line L(99, 100) { 69, 150 }: Central Line L(69, 150) { 10, 274 }: Central Line L(10, 274) { 72, 290 }: Central Line L(72, 290) { 80, 313 }: Central Line L(80, 313) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_8 = NAGEL POINT (0.4694, 0.1333) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_99 = STEINER POINT (0.1109, 0.4322) X_100 = ANTICOMPLEMENT OF FEUERBACH POINT (0.1429, 0.4666) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_150 = REFLECTION OF X(20) IN X(103) (1.1837, -0.4499) X_10 = SPIEKER CENTER (0.5204, 0.1833) X_274 = ISOGONAL CONJUGATE OF X(213) (0.5168, 0.1843) X_72 = ISOGONAL CONJUGATE OF X(28) (0.4367, 0.0733) X_290 = ISOGONAL CONJUGATE OF X(237) (0.7829, -0.1380) X_80 = REFLECTION OF INCENTER IN FEUERBACH POINT (0.8980, -0.1000) X_313 = ISOTOMIC CONJUGATE OF X(58) (0.4368, 0.1249) X_668 = TRILINEAR POLE OF LINE X(2)X(37) (0.0159, 0.3302) A B C X8 X76 X99 X100 X69 X150 X10 X274 X72 X290 X80 X313 X668 (a, b, c) = (5, 6, 7) | AB = 1

X668 (TRILINEAR POLE OF LINE X2X_37) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/[a^{2}(b - c)] : :\)
Barycentrics: \(b c (a - b) \cdot (a - c) : :\)
Search Value (6, 9, 13): \(6.390068371063\)
▸ Linear Combinations1 combination

  • X668 = \(3\) X2 - \(4\) X27076, \(6\) X2 - \(5\) X27195, \(3\) X2 + X31298, X2 - \(4\) X36524, \(9\) X2 - \(8\) X40479, \(2\) X350 - \(3\) X18145, \(2\) X889 - \(3\) X9296, X889 - \(3\) X31625, \(4\) X1015 - \(3\) X3227, X1015 - \(3\) X13466, \(4\) X1015 - \(5\) X27195, \(2\) X1015 + X31298, X1015 - \(6\) X36524, \(2\) X1015 + \(3\) X39360, \(3\) X1015 - \(4\) X40479, \(5\) X1698 - \(4\) X40533, \(3\) X3227 - \(2\) X9263, X3227 - \(4\) X13466, \(3\) X3227 - \(8\) X27076, \(3\) X3227 - \(5\) X27195, \(3\) X3227 + \(2\) X31298, X3227 - \(8\) X36524, X3227 + \(2\) X39360, \(9\) X3227 - \(16\) X40479, \(3\) X3807 - \(4\) X4103, \(3\) X3807 - \(2\) X4568, \(3\) X3807 - X33946, \(4\) X4103 - X33946, \(4\) X4422 - \(3\) X24508, \(4\) X6381 - \(3\) X18145, X9263 - \(6\) X13466, X9263 - \(4\) X27076, \(2\) X9263 - \(5\) X27195, X9263 - \(12\) X36524, X9263 + \(3\) X39360, \(3\) X9263 - \(8\) X40479, \(2\) X9267 - \(3\) X14441, \(3\) X13466 - \(2\) X27076, \(12\) X13466 - \(5\) X27195, \(6\) X13466 + X31298, \(2\) X13466 + X39360, \(9\) X13466 - \(4\) X40479, \(8\) X27076 - \(5\) X27195, \(4\) X27076 + X31298, X27076 - \(3\) X36524, \(4\) X27076 + \(3\) X39360, \(3\) X27076 - \(2\) X40479, \(5\) X27195 + \(2\) X31298, \(5\) X27195 - \(24\) X36524, \(5\) X27195 + \(6\) X39360, \(15\) X27195 - \(16\) X40479, X31298 + \(12\) X36524, X31298 - \(3\) X39360, \(3\) X31298 + \(8\) X40479, \(4\) X36524 + X39360, \(9\) X36524 - \(2\) X40479, \(9\) X39360 + \(8\) X40479

X668 lies on the Steiner circumellipse.

▸ Incident Central Lines371 lines

{1, 3226}, {2, 1015}, {6, 18825}, {8, 76}, {9, 17786}, {10, 274}, {30, 16085}, {31, 18824}, {37, 3228}, {39, 21226}, {42, 18826}, {43, 17149}, {65, 35159}, {69, 150}, {72, 290}, {75, 537}, {80, 313}, {81, 40603}, {85, 9578}, {86, 40039}, {99, 100}, {101, 789}, {110, 839}, {141, 40857}, {145, 18135}, {148, 6653}, {183, 956}, {190, 646}, {194, 20671}, {200, 25297}, {210, 1920}, {213, 3225}, {226, 35176}, {239, 25298}, {257, 3954}, {264, 46133}, {279, 6552}, {304, 341}, {305, 10327}, {306, 30973}, {310, 4651}, {312, 1121}, {315, 3436}, {316, 5080}, {320, 3264}, {321, 671}, {322, 3718}, {325, 17757}, {330, 40598}, {335, 3125}, {350, 519}, {385, 5291}, {495, 37664}, {513, 889}, {514, 3807}, {517, 4087}, {518, 1921}, {523, 35147}, {524, 17790}, {527, 40875}, {538, 17759}, {561, 3681}, {594, 3770}, {644, 666}, {645, 648}, {651, 6648}, {660, 37133}, {662, 37218}, {664, 1026}, {667, 932}, {670, 4553}, {673, 29479}, {689, 29071}, {692, 4577}, {693, 4555}, {718, 4093}, {730, 3783}, {740, 35166}, {756, 18059}, {758, 35544}, {850, 35156}, {870, 36480}, {883, 4566}, {891, 1978}, {892, 3908}, {894, 35143}, {898, 9067}, {906, 2966}, {934, 6613}, {984, 43096}, {1078, 2975}, {1089, 17762}, {1107, 25102}, {1125, 25303}, {1146, 4437}, {1211, 17946}, {1221, 3728}, {1234, 40422}, {1237, 3678}, {1264, 14615}, {1265, 46137}, {1268, 16709}, {1269, 5564}, {1292, 35574}, {1310, 8707}, {1330, 32031}, {1423, 45242}, {1494, 20336}, {1500, 1655}, {1577, 6631}, {1654, 3963}, {1698, 31997}, {1757, 1966}, {1930, 20955}, {1965, 3961}, {1975, 5687}, {1992, 41316}, {2170, 18061}, {2176, 29425}, {2238, 40859}, {2241, 16916}, {2242, 16997}, {2275, 27091}, {2276, 43095}, {2295, 17499}, {2321, 35144}, {2345, 34283}, {2533, 4589}, {2664, 19567}, {2864, 29337}, {2895, 28654}, {3216, 18148}, {3230, 10027}, {3240, 30964}, {3241, 18146}, {3260, 46141}, {3261, 35171}, {3262, 46136}, {3263, 4723}, {3293, 33296}, {3294, 29699}, {3403, 5223}, {3416, 43099}, {3434, 11185}, {3452, 32017}, {3617, 34284}, {3626, 20888}, {3632, 3760}, {3661, 3765}, {3662, 44353}, {3688, 9230}, {3701, 33939}, {3717, 33677}, {3729, 4110}, {3730, 29697}, {3759, 18044}, {3780, 17034}, {3792, 35539}, {3869, 28659}, {3879, 17195}, {3888, 6373}, {3900, 14727}, {3907, 40499}, {3912, 3975}, {3926, 7080}, {3932, 35152}, {3934, 26801}, {3948, 6542}, {3978, 20683}, {3992, 14210}, {4001, 19811}, {4086, 35154}, {4090, 41318}, {4154, 23648}, {4253, 29400}, {4358, 17310}, {4360, 18133}, {4361, 18144}, {4369, 9362}, {4377, 4690}, {4384, 20917}, {4385, 33935}, {4397, 35157}, {4404, 46143}, {4416, 17787}, {4422, 24508}, {4427, 29340}, {4462, 32028}, {4463, 46140}, {4479, 4677}, {4485, 5692}, {4506, 4715}, {4552, 32038}, {4576, 8050}, {4578, 6606}, {4592, 36050}, {4596, 4623}, {4597, 17136}, {4598, 32039}, {4607, 37209}, {4647, 18032}, {4664, 9331}, {4668, 32104}, {4671, 31172}, {4696, 20911}, {4705, 7260}, {4710, 33082}, {4756, 6540}, {4783, 24715}, {4791, 6633}, {4899, 10030}, {4998, 6516}, {5209, 17731}, {5224, 10468}, {5277, 6645}, {5283, 41838}, {5303, 43459}, {5383, 20980}, {5552, 7763}, {5641, 42703}, {6382, 24282}, {6384, 16569}, {6385, 22271}, {6554, 30701}, {6604, 42020}, {7095, 34016}, {7200, 7245}, {7270, 40071}, {7278, 41875}, {7321, 32097}, {7752, 11681}, {7757, 17756}, {7769, 27529}, {8024, 33091}, {8300, 24294}, {9055, 21138}, {9059, 13396}, {9267, 14441}, {9651, 33823}, {9708, 16992}, {10009, 24349}, {10527, 32832}, {11054, 37857}, {11998, 28798}, {14206, 35161}, {14208, 35169}, {14568, 17737}, {14759, 18743}, {14829, 24618}, {14951, 17760}, {16086, 44150}, {16100, 21530}, {16502, 26687}, {16549, 29691}, {16552, 29381}, {16589, 32009}, {16594, 36805}, {16604, 25107}, {16829, 21264}, {16885, 29542}, {16974, 30141}, {17033, 20457}, {17135, 18152}, {17158, 33780}, {17160, 39995}, {17165, 40087}, {17213, 21041}, {17277, 18040}, {17282, 44359}, {17287, 20891}, {17288, 20892}, {17295, 18137}, {17296, 20923}, {17298, 30090}, {17312, 29982}, {17316, 30830}, {17349, 32012}, {17377, 18147}, {17390, 25660}, {17448, 26959}, {17684, 31456}, {17751, 28660}, {17755, 21232}, {17761, 30997}, {17784, 32815}, {17789, 35163}, {17791, 35550}, {18035, 20716}, {18037, 20496}, {18057, 32926}, {18064, 32911}, {18067, 32920}, {18149, 24003}, {18150, 27191}, {18153, 36845}, {18206, 29511}, {18823, 42713}, {19565, 21830}, {19581, 41531}, {19870, 28653}, {19974, 20333}, {20055, 31060}, {20669, 39914}, {20691, 25264}, {20963, 41240}, {21220, 26072}, {21238, 24437}, {21384, 27424}, {21587, 35149}, {21814, 43094}, {21839, 35146}, {22275, 40072}, {23632, 27035}, {24191, 32030}, {24482, 25333}, {24487, 37129}, {24517, 41683}, {24656, 31996}, {24722, 25382}, {25277, 34086}, {25294, 34088}, {26563, 33940}, {26757, 26770}, {26759, 27040}, {26794, 26795}, {27096, 27109}, {27133, 27134}, {27525, 32831}, {27855, 30583}, {28809, 29616}, {29349, 36216}, {29383, 46196}, {29420, 29421}, {29433, 29447}, {29441, 29482}, {29445, 29471}, {29501, 29528}, {29526, 29543}, {29731, 29732}, {30092, 36854}, {30116, 37632}, {30225, 39351}, {30578, 36791}, {30631, 33064}, {30632, 33065}, {30695, 32034}, {30713, 33066}, {30728, 32040}, {30730, 32041}, {30807, 35158}, {30893, 44153}, {31645, 36957}, {32099, 34282}, {33090, 39998}, {33769, 40088}, {33930, 33937}, {33931, 33936}, {34018, 40609}, {34085, 37223}, {35142, 41013}, {35150, 46238}, {35164, 35517}, {35174, 35519}, {35958, 40844}, {36912, 40833}, {37676, 41232}, {37686, 45751}, {40301, 40339}, {40495, 46135}, {40883, 44664}, {42696, 44147}

▸ Functional Relations40 relations

  • X668 = midpoint of Xi and Xj for these {i,j}: {2, 39360}, {8, 17794}, {9263, 31298}

  • X668 = reflection of Xi in Xj for these {i,j}: {1, 17793}, {2, 13466}, {194, 20671}, {274, 39028}, {291, 10}, {350, 6381}, {1015, 27076}, {3227, 2}, {4568, 4103}, {9263, 1015}, {9296, 31625}, {13466, 36524}, {16100, 21530}, {17946, 1211}, {19565, 21830}, {24722, 25382}, {29811, 29547}, {31645, 36957}, {32020, 6376}, {32035, 76}, {33946, 4568}, {39925, 16589}

  • X668 = isogonal conjugate of X667

  • X668 = isotomic conjugate of X513

  • X668 = complement of X9263

  • X668 = anticomplement of X1015

  • X668 = polar conjugate of X6591

  • X668 = cyclocevian conjugate of X8047

  • X668 = anticomplement of the isogonal conjugate of X1016

  • X668 = complement of the isogonal conjugate of X9265

  • X668 = anticomplement of the isotomic conjugate of X31625

  • X668 = complement of the isotomic conjugate of X9295

  • X668 = Xi-anticomplementary conjugate of Xj for these (i,j): {9, 17036}, {59, 3210}, {100, 4440}, {101, 9263}, {190, 149}, {644, 39351}, {646, 33650}, {662, 17154}, {668, 150}, {692, 21224}, {765, 2}, {1016, 8}, {1018, 148}, {1023, 39349}, {1026, 39353}, {1110, 194}, {1252, 192}, {1262, 17480}, {1275, 36845}, {1978, 21293}, {3257, 20042}, {3573, 39362}, {3699, 37781}, {3799, 39345}, {3952, 21221}, {4033, 3448}, {4076, 329}, {4557, 21220}, {4564, 145}, {4567, 1}, {4570, 17147}, {4590, 17140}, {4600, 75}, {4601, 17135}, {4620, 3873}, {4752, 39364}, {4998, 7}, {5376, 519}, {5377, 239}, {5378, 6542}, {5379, 3187}, {5381, 29824}, {5382, 3621}, {5383, 10453}, {5384, 4393}, {5385, 3241}, {6064, 21273}, {6065, 3177}, {6551, 21222}, {6632, 513}, {6635, 21297}, {7012, 30699}, {7035, 69}, {7045, 4452}, {7128, 11851}, {9268, 17495}, {15742, 5905}, {23990, 17486}, {24037, 17143}, {24041, 4360}, {27808, 21294}, {31615, 522}, {31625, 6327}, {35309, 39346}, {35342, 39348}, {37212, 44006}, {44724, 8055}, {46102, 12649}

  • X668 = Xi-complementary conjugate of Xj for these (i,j): {31, 9296}, {9265, 10}, {9267, 116}, {9295, 2887}, {9299, 1086}, {9361, 141}

  • X668 = Xi-Ceva conjugate of Xj for these (i,j): {2, 9296}, {190, 36863}, {670, 1978}, {799, 190}, {889, 41314}, {1016, 17143}, {1978, 646}, {4572, 4554}, {4598, 18830}, {4600, 314}, {4601, 321}, {7035, 75}, {7257, 4561}, {7260, 4568}, {24037, 33775}, {31625, 2}, {36803, 42720}, {44168, 32026}

  • X668 = Xi-cross conjugate of Xj for these (i,j): {2, 31625}, {8, 1016}, {69, 4998}, {72, 4567}, {75, 7035}, {100, 6335}, {190, 4554}, {319, 4600}, {321, 4601}, {329, 1275}, {512, 32009}, {513, 2}, {514, 274}, {517, 5376}, {522, 32017}, {523, 30710}, {661, 1221}, {693, 75}, {812, 32020}, {834, 37870}, {850, 40422}, {891, 3227}, {900, 36805}, {1577, 32018}, {1655, 44168}, {1978, 18830}, {2517, 34258}, {2533, 10}, {2895, 4590}, {3309, 32019}, {3436, 46102}, {3681, 765}, {3699, 646}, {3762, 20568}, {3765, 5388}, {3766, 2481}, {3770, 34537}, {3799, 32041}, {3869, 4564}, {3888, 30610}, {3900, 30701}, {3909, 662}, {3952, 190}, {4010, 335}, {4033, 1978}, {4036, 321}, {4063, 18140}, {4083, 1}, {4106, 7}, {4132, 1255}, {4140, 1920}, {4145, 39698}, {4391, 76}, {4397, 312}, {4427, 15455}, {4462, 85}, {4463, 5379}, {4468, 31618}, {4499, 42343}, {4553, 100}, {4872, 39293}, {6084, 34018}, {7192, 1268}, {8027, 36957}, {9400, 30571}, {9443, 39959}, {10327, 15742}, {14434, 536}, {14923, 5382}, {15416, 304}, {15632, 2397}, {17217, 40418}, {17494, 308}, {17762, 24037}, {17780, 36804}, {18155, 1240}, {20293, 333}, {20294, 31623}, {20295, 86}, {20296, 348}, {20906, 7033}, {20929, 46254}, {20949, 3112}, {20952, 38810}, {20954, 310}, {20979, 31008}, {20983, 6}, {21146, 27483}, {21272, 664}, {21287, 18020}, {21297, 903}, {21301, 83}, {21302, 32008}, {21304, 40415}, {21613, 38847}, {22319, 18785}, {22322, 18098}, {23354, 4562}, {23794, 6384}, {23813, 4373}, {23819, 1088}, {24381, 3963}, {24719, 14621}, {25142, 192}, {25300, 33296}, {25312, 4595}, {27855, 350}, {29226, 330}, {30709, 671}, {32937, 5383}, {33066, 4620}, {33948, 32042}, {35518, 3596}, {35519, 314}, {37781, 31619}, {41314, 889}, {42720, 36803}, {43067, 5936}

  • X668 = cevapoint of Xi and Xj for these (i,j): {1, 4063}, {2, 513}, {6, 21005}, {8, 4391}, {10, 514}, {42, 20979}, {69, 35518}, {75, 693}, {100, 1332}, {120, 918}, {190, 3699}, {192, 25142}, {210, 4140}, {312, 4397}, {313, 35519}, {321, 4036}, {341, 15416}, {350, 27855}, {512, 16589}, {522, 3452}, {523, 1211}, {525, 21530}, {536, 14434}, {650, 3056}, {661, 3728}, {812, 17793}, {850, 1234}, {891, 13466}, {900, 16594}, {1016, 11607}, {1233, 3261}, {1577, 4647}, {1654, 24381}, {1909, 2533}, {2397, 15632}, {3762, 4738}, {3789, 4762}, {3900, 6554}, {3952, 4033}, {3954, 4705}, {4024, 21728}, {4083, 6376}, {4462, 44720}, {4651, 20954}, {4791, 4793}, {4824, 27495}, {6084, 40609}, {7192, 16709}, {7199, 16748}, {8027, 31645}, {20983, 30473}, {24533, 28369}, {28195, 28651}, {29226, 40598}

  • X668 = crosspoint of Xi and Xj for these (i,j): {2, 9295}, {190, 4598}, {670, 799}, {1978, 4572}

  • X668 = crosssum of Xi and Xj for these (i,j): {6, 1979}, {649, 20979}, {669, 798}, {3248, 8027}

  • X668 = trilinear pole of line {2, 37}

  • X668 = crossdifference of every pair of points on line {890, 1977}

  • X668 = Steiner-circumellipse-antipode of X3227

  • X668 = trilinear product of PU(24)

  • X668 = barycentric product of PU(41)

  • X668 = crossdifference of PU(42)

  • X668 = trilinear product of intercepts of Steiner circumellipse and Nagel line

  • X668 = pole wrt polar circle of trilinear polar of X6591 (line X3125X3271)

  • X668 = perspector of hyperbola {A, B, C,PU(41)}}

  • X668 = trilinear product of vertices of Gemini triangle 5

  • X668 = trilinear product of vertices of Gemini triangle 6

  • X668 = trilinear product of vertices of Gemini triangle 29

  • X668 = trilinear product of vertices of Gemini triangle 30

  • X668 = areal center of cevian triangles of PU(27)

  • X668 = areal center of cevian triangles of PU(41)

  • X668 = Steiner-circumellipse-X1-antipode of X3226

  • X668 = Steiner-circumellipse-X6-antipode of X18825

  • X668 = Xi-isoconjugate of Xj for these (i,j): {1, 667}, {2, 1919}, {6, 649}, {19, 22383}, {25, 1459}, {27, 3049}, {28, 810}, {31, 513}, {32, 514}, {34, 1946}, {41, 3669}, {42, 3733}, {48, 6591}, {55, 43924}, {56, 663}, {57, 3063}, {58, 512}, {66, 21122}, {71, 43925}, {75, 1980}, {81, 798}, {86, 669}, {87, 8640}, {100, 3248}, {101, 1015}, {106, 1960}, {109, 3271}, {110, 3122}, {163, 3125}, {184, 7649}, {190, 1977}, {212, 43923}, {213, 1019}, {238, 875}, {244, 692}, {251, 21123}, {269, 8641}, {274, 1924}, {284, 7180}, {292, 8632}, {310, 9426}, {521, 1395}, {522, 1397}, {523, 2206}, {560, 693}, {593, 4079}, {603, 18344}, {604, 650}, {608, 652}, {647, 1474}, {656, 2203}, {657, 1407}, {659, 1911}, {661, 1333}, {662, 3121}, {665, 1438}, {672, 43929}, {727, 6373}, {739, 3768}, {741, 4455}, {764, 1110}, {765, 8027}, {788, 985}, {812, 1922}, {822, 5317}, {849, 4705}, {870, 8630}, {876, 2210}, {884, 1458}, {890, 37129}, {893, 20981}, {899, 23349}, {902, 23345}, {904, 4367}, {905, 1973}, {909, 3310}, {923, 14419}, {926, 1416}, {932, 38986}, {977, 8636}, {1016, 3249}, {1022, 2251}, {1027, 2223}, {1042, 21789}, {1084, 4610}, {1086, 32739}, {1096, 23224}, {1106, 3900}, {1120, 8660}, {1178, 7234}, {1252, 21143}, {1253, 43932}, {1261, 42336}, {1326, 18001}, {1331, 42067}, {1357, 3939}, {1400, 7252}, {1402, 3737}, {1408, 4041}, {1411, 8648}, {1412, 3709}, {1415, 2170}, {1417, 4895}, {1461, 14936}, {1472, 8678}, {1501, 3261}, {1576, 3120}, {1635, 9456}, {1646, 34075}, {1647, 32719}, {1769, 34858}, {1790, 2489}, {1897, 22096}, {1914, 3572}, {1917, 40495}, {1918, 7192}, {1927, 14296}, {1964, 18108}, {1967, 4164}, {1974, 4025}, {2087, 32665}, {2159, 14399}, {2161, 21758}, {2162, 20979}, {2163, 4775}, {2175, 3676}, {2183, 2423}, {2191, 8642}, {2194, 4017}, {2200, 17925}, {2205, 7199}, {2207, 4091}, {2208, 6129}, {2209, 43931}, {2221, 2484}, {2297, 8662}, {2328, 7250}, {2333, 7254}, {2350, 21007}, {2422, 17209}, {2530, 46289}, {2605, 6186}, {2969, 32656}, {3009, 23355}, {3022, 6614}, {3051, 10566}, {3124, 4556}, {3224, 23572}, {3230, 23892}, {3250, 40746}, {3445, 8643}, {3675, 32666}, {3700, 16947}, {3766, 14598}, {3937, 8750}, {4057, 40148}, {4083, 7121}, {4105, 7023}, {4107, 9468}, {4117, 4623}, {4130, 7366}, {4162, 16945}, {4369, 7104}, {4394, 38266}, {4444, 14599}, {4475, 34069}, {4570, 8034}, {4598, 21762}, {4603, 21755}, {4750, 32740}, {4782, 40735}, {4786, 39238}, {4813, 34819}, {4817, 40728}, {4893, 28607}, {4979, 28615}, {5029, 17962}, {5040, 17954}, {5331, 8639}, {6377, 34071}, {6544, 41935}, {6545, 23990}, {6548, 9459}, {7117, 32674}, {7255, 40935}, {8054, 40519}, {8578, 34179}, {8637, 43531}, {8650, 34893}, {8655, 10013}, {8656, 41436}, {8661, 9268}, {8735, 32660}, {8747, 39201}, {8752, 22086}, {9008, 14623}, {9247, 17924}, {9259, 9262}, {9299, 9359}, {9315, 20980}, {9447, 24002}, {10547, 21108}, {11125, 40352}, {14413, 34068}, {14574, 21207}, {14575, 46107}, {16695, 23493}, {16892, 46288}, {17187, 18105}, {18197, 21759}, {18200, 40729}, {18210, 32676}, {18263, 27929}, {18265, 43041}, {18267, 27855}, {18268, 21832}, {19945, 32718}, {21110, 44167}, {21131, 23357}, {21172, 33581}, {21178, 40146}, {21190, 22262}, {21814, 39179}, {21828, 34079}, {23220, 36123}, {23225, 36124}, {23344, 43922}, {23979, 42462}, {27846, 34067}, {30691, 34078}, {30805, 36417}, {35519, 41280}

  • X668 = barycentric product Xi*Xj for these {i,j}: {1, 1978}, {6, 6386}, {7, 646}, {8, 4554}, {9, 4572}, {10, 799}, {12, 4631}, {37, 670}, {42, 4602}, {69, 6335}, {72, 6331}, {75, 190}, {76, 100}, {81, 27808}, {85, 3699}, {86, 4033}, {92, 4561}, {99, 321}, {101, 561}, {109, 28659}, {110, 27801}, {162, 40071}, {192, 18830}, {213, 4609}, {226, 7257}, {239, 4583}, {264, 1332}, {274, 3952}, {290, 42717}, {291, 27853}, {304, 1897}, {305, 1783}, {306, 811}, {308, 4553}, {310, 1018}, {312, 664}, {313, 662}, {314, 4552}, {319, 15455}, {320, 36804}, {322, 44327}, {330, 36863}, {331, 4571}, {334, 3570}, {335, 874}, {341, 658}, {345, 18026}, {346, 4569}, {349, 643}, {350, 4562}, {513, 31625}, {514, 7035}, {518, 36803}, {523, 4601}, {536, 889}, {594, 4623}, {644, 6063}, {645, 1441}, {648, 20336}, {651, 3596}, {653, 3718}, {660, 1921}, {666, 3263}, {671, 42721}, {689, 3954}, {692, 1502}, {693, 1016}, {740, 4639}, {765, 3261}, {789, 3661}, {813, 18891}, {835, 33935}, {839, 32782}, {850, 4567}, {870, 3807}, {873, 4103}, {883, 36796}, {892, 42713}, {898, 35543}, {903, 24004}, {906, 18022}, {932, 6382}, {984, 37133}, {1026, 18031}, {1088, 6558}, {1089, 4610}, {1111, 6632}, {1215, 7260}, {1222, 21580}, {1229, 6606}, {1230, 4596}, {1231, 36797}, {1237, 4603}, {1240, 3882}, {1252, 40495}, {1265, 13149}, {1269, 37212}, {1275, 4397}, {1331, 1969}, {1414, 30713}, {1415, 40363}, {1446, 7256}, {1491, 5388}, {1494, 42716}, {1577, 4600}, {1909, 27805}, {1920, 3903}, {1928, 32739}, {2276, 46132}, {2321, 4625}, {2397, 18816}, {2481, 42720}, {2966, 42703}, {3112, 4568}, {3222, 22028}, {3227, 41314}, {3257, 3264}, {3262, 13136}, {3266, 5380}, {3267, 5379}, {3573, 18895}, {3668, 7258}, {3681, 31624}, {3693, 46135}, {3701, 4573}, {3717, 34085}, {3797, 41072}, {3908, 40826}, {3939, 20567}, {3943, 4634}, {3948, 4589}, {3963, 4594}, {3992, 4615}, {3998, 6528}, {4024, 24037}, {4036, 4590}, {4064, 46254}, {4076, 24002}, {4082, 4635}, {4086, 4620}, {4358, 4555}, {4359, 6540}, {4385, 37215}, {4391, 4998}, {4427, 32018}, {4441, 32041}, {4505, 14621}, {4551, 28660}, {4557, 6385}, {4559, 40072}, {4563, 41013}, {4564, 35519}, {4570, 20948}, {4579, 44187}, {4584, 35544}, {4585, 20566}, {4586, 33931}, {4593, 15523}, {4595, 6384}, {4597, 4671}, {4598, 6376}, {4607, 6381}, {4612, 34388}, {4618, 36791}, {4621, 33930}, {4624, 4673}, {4626, 30693}, {4632, 4647}, {4705, 34537}, {4767, 20569}, {5224, 37218}, {5383, 20906}, {5386, 35548}, {5389, 35549}, {5423, 36838}, {6516, 7017}, {6742, 33939}, {7018, 18047}, {7033, 33946}, {7235, 36806}, {8026, 32039}, {8050, 18140}, {8706, 26563}, {8707, 20911}, {8750, 40364}, {9059, 33934}, {9295, 9296}, {10030, 36801}, {11611, 17935}, {14727, 40883}, {15413, 15742}, {17170, 42384}, {17264, 35171}, {17780, 20568}, {17790, 35147}, {18021, 21859}, {18025, 42719}, {18821, 42722}, {18831, 42698}, {18833, 46148}, {20899, 35572}, {20947, 35148}, {21035, 37204}, {21272, 32017}, {21615, 37138}, {21814, 42371}, {23354, 32020}, {23891, 31002}, {25278, 42343}, {28605, 32042}, {30596, 37211}, {31615, 34387}, {32849, 35156}, {32851, 35174}, {33932, 43190}, {34067, 44169}, {34393, 42718}, {35139, 42701}, {35169, 42709}, {35179, 42724}, {35518, 46102}, {36802, 40704}, {36860, 42027}, {40014, 43290}, {42700, 46134}, {42723, 43093}

  • X668 = barycentric quotient Xi/Xj for these {i,j}: {1, 649}, {2, 513}, {3, 22383}, {4, 6591}, {6, 667}, {7, 3669}, {8, 650}, {9, 663}, {10, 661}, {21, 7252}, {28, 43925}, {30, 14399}, {31, 1919}, {32, 1980}, {36, 21758}, {37, 512}, {38, 21123}, {42, 798}, {43, 20979}, {44, 1960}, {45, 4775}, {55, 3063}, {57, 43924}, {59, 1415}, {63, 1459}, {65, 7180}, {69, 905}, {71, 810}, {72, 647}, {75, 514}, {76, 693}, {78, 652}, {81, 3733}, {83, 18108}, {85, 3676}, {86, 1019}, {88, 23345}, {92, 7649}, {94, 43082}, {99, 81}, {100, 6}, {101, 31}, {104, 2423}, {105, 43929}, {107, 5317}, {108, 608}, {109, 604}, {110, 1333}, {112, 2203}, {141, 2530}, {145, 4394}, {162, 1474}, {163, 2206}, {171, 20981}, {188, 6729}, {190, 1}, {192, 4083}, {200, 657}, {210, 3709}, {213, 669}, {218, 8642}, {219, 1946}, {220, 8641}, {226, 4017}, {228, 3049}, {238, 8632}, {239, 659}, {244, 21143}, {264, 17924}, {274, 7192}, {278, 43923}, {279, 43932}, {281, 18344}, {286, 17925}, {291, 3572}, {292, 875}, {294, 884}, {304, 4025}, {305, 15413}, {306, 656}, {310, 7199}, {312, 522}, {313, 1577}, {314, 4560}, {315, 16757}, {318, 3064}, {319, 14838}, {320, 3960}, {321, 523}, {322, 14837}, {326, 4091}, {329, 6129}, {330, 43931}, {333, 3737}, {334, 4444}, {335, 876}, {341, 3239}, {344, 3309}, {345, 521}, {346, 3900}, {349, 4077}, {350, 812}, {385, 4164}, {394, 23224}, {512, 3121}, {513, 1015}, {514, 244}, {517, 3310}, {518, 665}, {519, 1635}, {521, 7117}, {522, 2170}, {523, 3125}, {524, 14419}, {525, 18210}, {527, 14413}, {528, 1643}, {536, 891}, {545, 14421}, {556, 6728}, {561, 3261}, {594, 4705}, {612, 2484}, {643, 284}, {644, 55}, {645, 21}, {646, 8}, {648, 28}, {649, 3248}, {650, 3271}, {651, 56}, {653, 34}, {655, 1411}, {658, 269}, {660, 292}, {661, 3122}, {662, 58}, {664, 57}, {666, 105}, {667, 1977}, {670, 274}, {673, 1027}, {677, 911}, {692, 32}, {693, 1086}, {728, 4105}, {739, 23349}, {740, 21832}, {752, 14438}, {756, 4079}, {758, 21828}, {765, 101}, {789, 14621}, {799, 86}, {811, 27}, {812, 27846}, {813, 1911}, {823, 8747}, {824, 4475}, {835, 2214}, {850, 16732}, {870, 4817}, {874, 239}, {883, 241}, {889, 3227}, {891, 1646}, {894, 4367}, {898, 739}, {899, 3768}, {900, 2087}, {901, 9456}, {903, 1022}, {905, 3937}, {906, 184}, {908, 1769}, {918, 3675}, {927, 1462}, {932, 2162}, {934, 1407}, {984, 3250}, {1015, 8027}, {1016, 100}, {1018, 42}, {1020, 1042}, {1022, 43922}, {1023, 902}, {1025, 1458}, {1026, 672}, {1043, 1021}, {1086, 764}, {1089, 4024}, {1109, 21131}, {1110, 32739}, {1111, 6545}, {1121, 35348}, {1125, 4979}, {1191, 8662}, {1212, 2488}, {1213, 4983}, {1229, 6362}, {1230, 30591}, {1231, 17094}, {1252, 692}, {1259, 36054}, {1267, 6364}, {1269, 4978}, {1275, 934}, {1278, 29226}, {1279, 8659}, {1293, 38266}, {1310, 2221}, {1331, 48}, {1332, 3}, {1376, 20980}, {1414, 1412}, {1415, 1397}, {1427, 7250}, {1434, 7203}, {1441, 7178}, {1444, 7254}, {1461, 1106}, {1492, 40746}, {1502, 40495}, {1575, 6373}, {1577, 3120}, {1621, 21007}, {1633, 16502}, {1646, 33917}, {1698, 4813}, {1734, 20974}, {1740, 23572}, {1743, 8643}, {1757, 5029}, {1783, 25}, {1792, 23090}, {1812, 23189}, {1813, 603}, {1824, 2489}, {1897, 19}, {1909, 4369}, {1918, 1924}, {1920, 4374}, {1921, 3766}, {1930, 16892}, {1966, 4107}, {1969, 46107}, {1978, 75}, {1981, 1430}, {1992, 30234}, {1993, 34948}, {1997, 30198}, {2087, 8661}, {2098, 17424}, {2172, 21122}, {2176, 8640}, {2205, 9426}, {2238, 4455}, {2273, 8636}, {2276, 788}, {2284, 2223}, {2287, 21789}, {2295, 7234}, {2321, 4041}, {2323, 8648}, {2325, 4895}, {2345, 8678}, {2397, 517}, {2398, 910}, {2401, 15635}, {2406, 1455}, {2533, 16592}, {2703, 17961}, {2895, 31947}, {3059, 10581}, {3112, 10566}, {3125, 8034}, {3126, 35505}, {3161, 4162}, {3175, 4139}, {3212, 43051}, {3219, 2605}, {3227, 43928}, {3230, 890}, {3234, 42077}, {3239, 2310}, {3246, 8658}, {3248, 3249}, {3257, 106}, {3261, 1111}, {3262, 10015}, {3263, 918}, {3264, 3762}, {3421, 40134}, {3436, 6588}, {3452, 6615}, {3501, 23655}, {3550, 23472}, {3570, 238}, {3573, 1914}, {3596, 4391}, {3616, 4790}, {3618, 3803}, {3621, 2516}, {3661, 1491}, {3662, 3777}, {3666, 6371}, {3668, 7216}, {3669, 1357}, {3672, 8712}, {3679, 4893}, {3681, 6586}, {3682, 822}, {3685, 4435}, {3687, 17420}, {3693, 926}, {3699, 9}, {3700, 4516}, {3701, 3700}, {3702, 4976}, {3710, 8611}, {3718, 6332}, {3728, 40627}, {3729, 4449}, {3732, 614}, {3739, 6372}, {3752, 6363}, {3759, 4401}, {3760, 4382}, {3761, 4379}, {3762, 1647}, {3765, 4874}, {3766, 27918}, {3797, 30665}, {3799, 2276}, {3807, 984}, {3835, 3123}, {3864, 30671}, {3868, 43060}, {3869, 6589}, {3875, 4498}, {3882, 1193}, {3886, 45755}, {3888, 2275}, {3900, 14936}, {3903, 893}, {3908, 574}, {3912, 2254}, {3920, 2483}, {3926, 4131}, {3932, 24290}, {3935, 22108}, {3939, 41}, {3943, 4730}, {3948, 4010}, {3950, 4729}, {3952, 37}, {3954, 3005}, {3963, 2533}, {3971, 21834}, {3975, 3716}, {3978, 14296}, {3990, 39201}, {3992, 4120}, {3995, 4132}, {3998, 520}, {4009, 4526}, {4010, 39786}, {4024, 2643}, {4025, 3942}, {4033, 10}, {4036, 115}, {4037, 4155}, {4040, 38346}, {4043, 4151}, {4044, 4804}, {4053, 42666}, {4062, 2642}, {4063, 8054}, {4064, 3708}, {4066, 4838}, {4069, 1334}, {4076, 644}, {4082, 4171}, {4083, 6377}, {4086, 21044}, {4103, 756}, {4110, 4147}, {4115, 1962}, {4125, 4931}, {4130, 3022}, {4140, 40608}, {4163, 3119}, {4169, 21805}, {4261, 838}, {4358, 900}, {4359, 4977}, {4360, 4063}, {4363, 4378}, {4370, 3251}, {4374, 7200}, {4384, 4724}, {4385, 6590}, {4387, 4501}, {4391, 11}, {4393, 4782}, {4397, 1146}, {4404, 21950}, {4406, 7208}, {4411, 4403}, {4417, 21189}, {4420, 9404}, {4422, 6161}, {4426, 8633}, {4427, 1100}, {4436, 20963}, {4437, 3126}, {4441, 4762}, {4462, 3756}, {4463, 2485}, {4467, 7202}, {4482, 750}, {4487, 14425}, {4494, 4474}, {4495, 4508}, {4498, 17477}, {4505, 3661}, {4511, 654}, {4515, 4524}, {4551, 1400}, {4552, 65}, {4553, 39}, {4554, 7}, {4555, 88}, {4556, 849}, {4557, 213}, {4558, 1437}, {4559, 1402}, {4560, 18191}, {4561, 63}, {4562, 291}, {4563, 1444}, {4564, 109}, {4565, 1408}, {4566, 1427}, {4567, 110}, {4568, 38}, {4569, 279}, {4570, 163}, {4571, 219}, {4572, 85}, {4573, 1014}, {4574, 228}, {4576, 16696}, {4578, 220}, {4579, 172}, {4582, 1320}, {4583, 335}, {4584, 741}, {4585, 36}, {4586, 985}, {4587, 212}, {4588, 28607}, {4589, 37128}, {4592, 1790}, {4594, 40432}, {4595, 43}, {4596, 1171}, {4597, 89}, {4598, 87}, {4600, 662}, {4601, 99}, {4602, 310}, {4603, 1178}, {4604, 2163}, {4605, 1254}, {4606, 2334}, {4607, 37129}, {4609, 6385}, {4610, 757}, {4612, 60}, {4613, 40747}, {4617, 7023}, {4618, 2226}, {4619, 24027}, {4620, 1414}, {4621, 983}, {4623, 1509}, {4625, 1434}, {4626, 738}, {4628, 46289}, {4631, 261}, {4632, 40438}, {4636, 2150}, {4639, 18827}, {4647, 4988}, {4664, 29350}, {4671, 4777}, {4673, 4765}, {4687, 6005}, {4699, 29198}, {4705, 3124}, {4715, 14422}, {4723, 1639}, {4728, 19945}, {4738, 6544}, {4742, 4773}, {4752, 2177}, {4756, 16777}, {4767, 45}, {4768, 4530}, {4781, 16666}, {4812, 29025}, {4847, 21127}, {4850, 9002}, {4858, 21132}, {4873, 4814}, {4885, 4014}, {4945, 23352}, {4975, 4984}, {4980, 28175}, {4986, 6546}, {4997, 23838}, {4998, 651}, {5224, 14349}, {5235, 4833}, {5257, 4822}, {5280, 8635}, {5283, 2978}, {5291, 5040}, {5308, 7659}, {5333, 4840}, {5360, 2491}, {5375, 16686}, {5376, 901}, {5377, 919}, {5378, 813}, {5379, 112}, {5380, 111}, {5381, 898}, {5382, 1293}, {5383, 932}, {5384, 825}, {5385, 4588}, {5386, 753}, {5387, 2748}, {5388, 789}, {5389, 755}, {5391, 6365}, {5423, 4130}, {5440, 22086}, {5468, 16702}, {5526, 8645}, {5546, 2194}, {5839, 6050}, {6063, 24002}, {6064, 4612}, {6079, 40400}, {6099, 32655}, {6163, 9259}, {6331, 286}, {6332, 7004}, {6335, 4}, {6374, 23807}, {6376, 3835}, {6381, 4728}, {6382, 20906}, {6386, 76}, {6516, 222}, {6517, 7125}, {6540, 1255}, {6542, 9508}, {6544, 42084}, {6554, 17115}, {6558, 200}, {6574, 7050}, {6591, 42067}, {6603, 6139}, {6604, 43049}, {6606, 1170}, {6614, 7366}, {6630, 6164}, {6631, 1054}, {6632, 765}, {6634, 6163}, {6635, 5376}, {6648, 961}, {6649, 7175}, {6651, 38348}, {6742, 2160}, {7012, 32674}, {7017, 44426}, {7027, 6730}, {7035, 190}, {7045, 1461}, {7080, 14298}, {7081, 3287}, {7192, 16726}, {7199, 17205}, {7234, 21755}, {7239, 3778}, {7256, 2287}, {7257, 333}, {7258, 1043}, {7259, 2328}, {7260, 32010}, {7265, 2611}, {7270, 16612}, {8026, 23886}, {8033, 17212}, {8050, 39798}, {8620, 9297}, {8640, 21762}, {8652, 34819}, {8701, 28615}, {8706, 23617}, {8707, 2298}, {8709, 20332}, {8750, 1973}, {9059, 40401}, {9260, 9283}, {9263, 38238}, {9265, 9299}, {9266, 1979}, {9268, 32665}, {9272, 41461}, {9278, 18001}, {9282, 9262}, {9295, 9267}, {9296, 9263}, {9362, 9359}, {10015, 42753}, {10030, 43041}, {10196, 45233}, {10327, 2509}, {10527, 13401}, {10580, 17410}, {11607, 5375}, {11611, 18015}, {11679, 17418}, {13136, 104}, {13138, 1436}, {13149, 1119}, {13466, 14434}, {14206, 11125}, {14208, 4466}, {14210, 4750}, {14213, 21102}, {14434, 39011}, {14543, 1104}, {14570, 18180}, {14589, 20958}, {14594, 2285}, {14829, 21173}, {14942, 1024}, {15413, 1565}, {15416, 2968}, {15418, 5088}, {15455, 79}, {15523, 8061}, {15631, 16725}, {15632, 23980}, {15742, 1783}, {16082, 43933}, {16284, 7658}, {16560, 8578}, {16610, 6085}, {16670, 8656}, {16777, 4834}, {16784, 8650}, {16826, 4784}, {17103, 18200}, {17143, 17494}, {17149, 21191}, {17160, 21385}, {17205, 8042}, {17217, 16742}, {17233, 1734}, {17234, 4905}, {17261, 4879}, {17263, 42325}, {17264, 3887}, {17277, 4040}, {17279, 6004}, {17289, 830}, {17335, 4794}, {17487, 9269}, {17740, 9001}, {17752, 24533}, {17756, 9010}, {17762, 21196}, {17776, 15313}, {17780, 44}, {17786, 17072}, {17787, 3907}, {17788, 4142}, {17789, 4458}, {17790, 2787}, {17792, 45902}, {17796, 42670}, {17863, 29162}, {17864, 21117}, {17886, 21141}, {17893, 21137}, {17906, 1828}, {17924, 2969}, {17934, 1931}, {17935, 19623}, {17944, 5006}, {18026, 278}, {18047, 171}, {18052, 23790}, {18062, 17200}, {18098, 18105}, {18134, 23800}, {18135, 4106}, {18137, 8714}, {18138, 23785}, {18140, 20295}, {18142, 23798}, {18143, 23789}, {18144, 23815}, {18145, 21297}, {18147, 29013}, {18148, 23803}, {18149, 21211}, {18150, 23814}, {18151, 21201}, {18152, 20954}, {18153, 23819}, {18154, 23823}, {18155, 17197}, {18156, 3798}, {18157, 23829}, {18159, 21204}, {18697, 21124}, {18698, 23755}, {18738, 23806}, {18740, 12047}, {18743, 3667}, {18747, 23782}, {18750, 21172}, {18816, 2401}, {18830, 330}, {19799, 23874}, {19804, 4778}, {20234, 3801}, {20235, 21107}, {20236, 21118}, {20237, 21119}, {20332, 23355}, {20336, 525}, {20431, 20504}, {20433, 20505}, {20434, 20506}, {20435, 20507}, {20436, 20508}, {20437, 20509}, {20438, 20510}, {20439, 20511}, {20440, 20512}, {20441, 20513}, {20442, 20514}, {20443, 20515}, {20444, 20517}, {20445, 20516}, {20446, 20518}, {20447, 20519}, {20448, 20520}, {20449, 20521}, {20450, 20522}, {20451, 20523}, {20452, 20524}, {20453, 20525}, {20454, 20526}, {20568, 6548}, {20627, 21110}, {20641, 21178}, {20663, 38367}, {20693, 17990}, {20752, 23225}, {20769, 22384}, {20879, 21103}, {20880, 21104}, {20881, 21105}, {20882, 21106}, {20883, 21108}, {20884, 21109}, {20886, 21111}, {20887, 21112}, {20889, 21113}, {20890, 21114}, {20893, 21115}, {20894, 21116}, {20895, 21120}, {20896, 21121}, {20898, 21126}, {20899, 21128}, {20900, 21129}, {20901, 21133}, {20902, 21134}, {20903, 21135}, {20904, 21136}, {20906, 21138}, {20907, 21139}, {20908, 21140}, {20909, 21142}, {20910, 21144}, {20911, 3004}, {20912, 21145}, {20913, 21146}, {20914, 21174}, {20915, 21175}, {20916, 21176}, {20917, 24720}, {20919, 21179}, {20920, 21180}, {20921, 7661}, {20922, 21182}, {20924, 4453}, {20925, 21183}, {20926, 21184}, {20927, 21185}, {20928, 21186}, {20929, 21187}, {20930, 21188}, {20931, 21190}, {20932, 21192}, {20933, 21193}, {20934, 21194}, {20935, 21195}, {20936, 21197}, {20937, 21198}, {20938, 21199}, {20939, 21200}, {20940, 21202}, {20941, 21203}, {20942, 4962}, {20944, 21205}, {20945, 21206}, {20947, 2786}, {20948, 21207}, {20949, 21208}, {20951, 21209}, {20952, 21210}, {20954, 17761}, {20955, 21212}, {20956, 21181}, {20979, 38986}, {21035, 2084}, {21272, 3752}, {21362, 1201}, {21414, 23735}, {21425, 21125}, {21436, 23748}, {21438, 23772}, {21580, 3663}, {21581, 23801}, {21596, 23799}, {21604, 4425}, {21609, 31605}, {21611, 24225}, {21802, 8664}, {21805, 14407}, {21810, 42661}, {21814, 688}, {21816, 8663}, {21833, 22260}, {21839, 351}, {21859, 181}, {21873, 42653}, {21874, 8651}, {21877, 3221}, {21883, 9402}, {22003, 2650}, {22011, 40471}, {22028, 23301}, {22128, 22379}, {22279, 14991}, {22370, 22090}, {22383, 22096}, {23067, 1409}, {23113, 22344}, {23343, 3230}, {23344, 2251}, {23354, 1575}, {23581, 23726}, {23703, 1404}, {23704, 8647}, {23845, 20228}, {23891, 899}, {23978, 42455}, {24002, 1358}, {24004, 519}, {24026, 42462}, {24029, 1457}, {24037, 4610}, {24039, 6629}, {24041, 4556}, {24199, 23738}, {24358, 24286}, {24443, 23751}, {24524, 31286}, {24589, 28209}, {24622, 23774}, {25142, 40610}, {25259, 17463}, {25268, 3057}, {25272, 21342}, {25278, 31287}, {25280, 25666}, {25292, 40464}, {25577, 23524}, {25660, 29150}, {26242, 9313}, {26611, 42757}, {27396, 8676}, {27644, 16695}, {27801, 850}, {27805, 256}, {27808, 321}, {27834, 3445}, {27853, 350}, {27855, 35119}, {28605, 4802}, {28606, 834}, {28653, 15309}, {28654, 4036}, {28659, 35519}, {28660, 18155}, {28742, 44319}, {28974, 28473}, {29227, 36614}, {29477, 23725}, {29611, 2526}, {30473, 21260}, {30566, 24457}, {30568, 42312}, {30596, 4823}, {30610, 9309}, {30693, 4163}, {30695, 17427}, {30710, 4581}, {30713, 4086}, {30720, 3158}, {30728, 4512}, {30729, 3683}, {30730, 210}, {30731, 3689}, {30758, 28846}, {30806, 1638}, {30807, 676}, {30829, 6006}, {30963, 4785}, {30966, 4481}, {31008, 17217}, {31130, 30520}, {31615, 59}, {31628, 18771}, {31633, 40577}, {31993, 8672}, {31997, 4932}, {32018, 4608}, {32028, 3315}, {32038, 959}, {32041, 1002}, {32042, 25417}, {32094, 3722}, {32641, 34858}, {32656, 9247}, {32674, 1395}, {32714, 1398}, {32739, 560}, {32777, 832}, {32779, 9013}, {32849, 8674}, {32851, 3738}, {32911, 4057}, {32925, 17458}, {32926, 21389}, {32937, 21348}, {33116, 6003}, {33296, 18197}, {33297, 16751}, {33775, 17161}, {33854, 21003}, {33891, 3808}, {33908, 14474}, {33930, 3776}, {33931, 824}, {33932, 25259}, {33934, 44435}, {33935, 45746}, {33939, 4467}, {33946, 982}, {33948, 28606}, {33951, 7191}, {33952, 17017}, {34018, 43930}, {34067, 1922}, {34071, 7121}, {34284, 43067}, {34387, 40166}, {34525, 46006}, {34537, 4623}, {35147, 17946}, {35148, 1929}, {35156, 21907}, {35157, 34056}, {35160, 37626}, {35171, 34578}, {35174, 2006}, {35181, 34914}, {35309, 21035}, {35312, 1418}, {35338, 1475}, {35341, 2293}, {35342, 2308}, {35518, 26932}, {35519, 4858}, {35538, 20908}, {35550, 4707}, {35574, 2991}, {36037, 909}, {36038, 42754}, {36049, 2208}, {36086, 1438}, {36101, 2424}, {36106, 913}, {36118, 1435}, {36146, 1416}, {36795, 43728}, {36796, 885}, {36797, 1172}, {36801, 4876}, {36802, 294}, {36803, 2481}, {36804, 80}, {36805, 23836}, {36807, 35355}, {36838, 479}, {36860, 33296}, {36863, 192}, {37129, 23892}, {37133, 870}, {37135, 17962}, {37137, 1431}, {37138, 2279}, {37141, 1413}, {37205, 39949}, {37206, 2191}, {37210, 34916}, {37212, 1126}, {37218, 43531}, {37593, 4832}, {37659, 44408}, {37680, 4491}, {37756, 2832}, {37758, 2827}, {37783, 42741}, {37788, 2826}, {37857, 2837}, {38810, 7255}, {38828, 16945}, {38853, 16692}, {39011, 14441}, {39028, 27854}, {39044, 4375}, {39126, 30719}, {39293, 36146}, {39294, 36110}, {40013, 40086}, {40071, 14208}, {40087, 20949}, {40089, 21606}, {40117, 7151}, {40166, 7336}, {40447, 14775}, {40495, 23989}, {40499, 20665}, {40521, 1500}, {40603, 31946}, {40704, 43042}, {40728, 8630}, {40790, 45882}, {40865, 5091}, {40872, 9511}, {40883, 42341}, {41013, 2501}, {41314, 536}, {41315, 28582}, {41316, 28475}, {41798, 23351}, {42005, 17422}, {42012, 17412}, {42014, 17425}, {42029, 28147}, {42033, 35057}, {42034, 28161}, {42066, 17411}, {42343, 41439}, {42698, 6368}, {42699, 8057}, {42700, 924}, {42701, 526}, {42702, 39469}, {42703, 2799}, {42704, 8675}, {42711, 23878}, {42712, 4843}, {42713, 690}, {42714, 23879}, {42716, 30}, {42717, 511}, {42718, 515}, {42719, 516}, {42720, 518}, {42721, 524}, {42722, 528}, {42723, 674}, {42724, 1499}, {43069, 43070}, {43077, 40735}, {43290, 1743}, {44140, 23882}, {44327, 84}, {44426, 8735}, {44448, 38375}, {44717, 36059}, {44720, 4521}, {44765, 2217}, {45791, 6607}, {45876, 41799}, {46102, 108}, {46135, 34018}, {46148, 1964}

  • X668 = {Xi,Xj}-harmonic conjugate of Xk for these (i,j,k): {1, 6376, 18140}, {2, 1015, 27195}, {2, 9263, 1015}, {2, 31298, 9263}, {8, 76, 17143}, {10, 1909, 274}, {43, 17149, 34020}, {75, 18159, 1111}, {101, 4482, 18047}, {190, 3732, 33951}, {190, 4033, 646}, {190, 4595, 1018}, {304, 341, 33932}, {313, 319, 314}, {341, 16284, 304}, {350, 6381, 18145}, {664, 3699, 4561}, {799, 7257, 99}, {874, 4505, 646}, {1015, 9263, 3227}, {1015, 13466, 27076}, {1015, 27076, 2}, {1018, 23891, 4595}, {1089, 17762, 33775}, {1107, 25102, 27020}, {1111, 4738, 4986}, {1111, 4986, 75}, {1111, 18159, 20568}, {1500, 1655, 32026}, {1909, 25280, 10}, {1978, 3952, 36863}, {3216, 18148, 29454}, {3227, 27195, 1015}, {3263, 30806, 20924}, {3570, 18047, 101}, {3632, 3760, 17144}, {3679, 3761, 75}, {3761, 43270, 20568}, {3799, 27853, 36863}, {3807, 33946, 4568}, {3952, 23354, 3799}, {3992, 14210, 20947}, {4103, 4568, 3807}, {4696, 20911, 33941}, {4723, 30806, 3263}, {5080, 20553, 316}, {6376, 24524, 1}, {9263, 27076, 27195}, {9263, 29547, 29491}, {9263, 39360, 31298}, {13466, 31298, 27195}, {13466, 39360, 3227}, {17144, 20943, 3760}, {17149, 25287, 43}, {18061, 35957, 2170}, {20955, 33938, 1930}, {21226, 26752, 39}, {25472, 25685, 2}, {27076, 31298, 3227}, {27295, 30026, 30866}, {27808, 33948, 36863}