X670

TRILINEAR POLE OF LINE X2X_39

X670 = trilinear pole of line {2, 39}
< 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) { 69, 290 }: Central Line L(69, 290) { 76, 338 }: Central Line L(76, 338) { 141, 308 }: Central Line L(141, 308) { 645, 666 }: Central Line L(645, 666) { 110, 689 }: Central Line L(110, 689) { 99, 804 }: Central Line L(99, 804) A = Vertex A (0.0000, 0.0000) B = Vertex B (1.0000, 0.0000) C = Vertex C (0.6122, 0.5999) X_69 = SYMMEDIAN POINT OF THE ANTICOMPLEMENTARY TRIANGLE (0.4122, 0.0654) X_290 = ISOGONAL CONJUGATE OF X(237) (0.7829, -0.1380) X_76 = 3rd BROCARD POINT (0.4567, 0.1388) X_338 = CEVAPOINT OF X(115) AND X(125) (0.6941, 0.0587) X_141 = COMPLEMENT OF SYMMEDIAN POINT (0.5061, 0.1663) X_308 = ISOTOMIC CONJUGATE OF X(39) (0.4915, 0.1700) X_645 = BARYCENTRIC MULTIPLIER FOR KIEPERT PARABOLA (-0.0375, 0.2992) X_666 = TRILINEAR POLE OF LINE X(2)X(11) (1.0982, 0.1428) X_110 = FOCUS OF KIEPERT PARABOLA (0.2516, 0.5478) X_689 = TRILINEAR POLE OF LINE X(6)X(76) (0.0585, 0.3579) X_99 = STEINER POINT (0.1109, 0.4322) X_804 = ODD (- 2, 2) INFINITY POINT (0.9171, 0.6474) X_670 = TRILINEAR POLE OF LINE X(2)X(39) (-0.0057, 0.2948) A B C X69 X290 X76 X338 X141 X308 X645 X666 X110 X689 X99 X804 X670 (a, b, c) = (5, 6, 7) | AB = 1

X670 (TRILINEAR POLE OF LINE X2X_39) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

Trilinears: \(1/[a^{3}(b^{2} - c^{2})] : :\)
Barycentrics: \((a^{2} - b^{2}) b^{2} (a^{2} - c^{2}) c^{2} : :\)
Search Value (6, 9, 13): \(7.027269123152\)
▸ Linear Combinations1 combination

  • X670 = \(6\) X2 - \(5\) X31639, \(3\) X2 - \(4\) X36950, \(9\) X2 - \(8\) X40478, X193 - \(3\) X25319, \(2\) X886 - \(3\) X9428, X886 - \(3\) X44168, \(4\) X1084 - \(3\) X3228, \(4\) X1084 - \(5\) X31639, X1084 - \(3\) X35073, \(2\) X1084 + \(3\) X39361, \(3\) X1084 - \(4\) X40478, \(3\) X3228 - \(2\) X25054, \(3\) X3228 - \(5\) X31639, X3228 - \(4\) X35073, \(3\) X3228 - \(8\) X36950, X3228 + \(2\) X39361, \(9\) X3228 - \(16\) X40478, \(5\) X3618 - \(3\) X25318, \(2\) X25054 - \(5\) X31639, X25054 - \(6\) X35073, X25054 - \(4\) X36950, X25054 + \(3\) X39361, \(3\) X25054 - \(8\) X40478, \(5\) X31639 - \(12\) X35073, \(5\) X31639 - \(8\) X36950, \(5\) X31639 + \(6\) X39361, \(15\) X31639 - \(16\) X40478, \(3\) X35073 - \(2\) X36950, \(2\) X35073 + X39361, \(9\) X35073 - \(4\) X40478, \(4\) X36950 + \(3\) X39361, \(3\) X36950 - \(2\) X40478, \(9\) X39361 + \(8\) X40478

X670 lies on the Steiner circumellipse.

▸ Incident Central Lines162 lines

{1, 18826}, {2, 1084}, {4, 36892}, {6, 3225}, {7, 35159}, {30, 16084}, {37, 34021}, {39, 43094}, {58, 18824}, {67, 7768}, {69, 290}, {75, 18827}, {76, 338}, {81, 18825}, {85, 35176}, {86, 3226}, {99, 804}, {110, 689}, {112, 35567}, {126, 14948}, {141, 308}, {183, 43664}, {190, 799}, {192, 34022}, {193, 25319}, {264, 35142}, {274, 3227}, {300, 11118}, {301, 11117}, {304, 35145}, {305, 1494}, {310, 903}, {312, 35144}, {313, 35162}, {314, 2481}, {315, 2882}, {316, 34171}, {320, 18891}, {325, 46142}, {350, 35166}, {351, 23356}, {385, 35524}, {393, 6338}, {511, 14603}, {512, 886}, {523, 18829}, {524, 3978}, {536, 30938}, {561, 14616}, {645, 666}, {646, 32041}, {648, 2421}, {660, 37204}, {662, 4586}, {664, 4572}, {668, 4553}, {683, 41521}, {693, 35147}, {702, 40858}, {805, 9063}, {827, 6572}, {850, 892}, {873, 40087}, {877, 6528}, {888, 4576}, {889, 7192}, {925, 42297}, {931, 35565}, {1086, 40017}, {1121, 28660}, {1218, 10472}, {1241, 21248}, {1350, 8920}, {1368, 16098}, {1509, 40034}, {1576, 17941}, {1613, 19562}, {1921, 35173}, {1965, 24425}, {2086, 13518}, {2396, 14570}, {2407, 9211}, {2966, 3267}, {2979, 40362}, {2998, 32746}, {3229, 6379}, {3260, 5641}, {3261, 35148}, {3262, 35151}, {3263, 35152}, {3264, 35153}, {3266, 7840}, {3589, 25326}, {3596, 35141}, {3618, 25318}, {3888, 46132}, {4033, 4562}, {4108, 9066}, {4360, 34086}, {4361, 6383}, {4363, 6382}, {4495, 5209}, {4554, 32038}, {4555, 4634}, {4573, 6648}, {4589, 41072}, {4616, 6613}, {5152, 7669}, {5468, 35138}, {6389, 42407}, {6393, 44137}, {6540, 27808}, {6606, 7256}, {7253, 14727}, {7779, 35540}, {8024, 43098}, {8264, 32747}, {9766, 14772}, {10008, 44144}, {10010, 14937}, {11059, 11163}, {12220, 40360}, {14221, 35139}, {14574, 33515}, {14615, 35140}, {14728, 23105}, {15164, 46166}, {15165, 46167}, {15526, 32458}, {16741, 35155}, {17731, 35165}, {18022, 44134}, {18026, 46152}, {18157, 35167}, {18816, 40072}, {18822, 30939}, {19585, 41331}, {19623, 35531}, {19643, 20345}, {20911, 40827}, {21001, 40162}, {22456, 35575}, {23285, 31998}, {24039, 35180}, {24524, 27891}, {25534, 32020}, {26714, 35566}, {30737, 46145}, {30940, 35172}, {30966, 43096}, {33297, 43093}, {33875, 44371}, {34064, 34088}, {34203, 35179}, {34384, 46138}, {34393, 46359}, {35149, 35516}, {35150, 35517}, {35154, 35519}, {35156, 40495}, {39939, 39968}, {40773, 43095}

▸ Functional Relations23 relations

  • X670 = midpoint of Xi and Xj for these {i,j}: {2, 39361}, {69, 25332}

  • X670 = reflection of Xi in Xj for these {i,j}: {2, 35073}, {6, 39080}, {694, 141}, {1084, 36950}, {3228, 2}, {3978, 30736}, {9428, 44168}, {14948, 126}, {16098, 1368}, {25054, 1084}, {25326, 3589}, {40874, 30938}

  • X670 = isogonal conjugate of X669

  • X670 = isotomic conjugate of X512

  • X670 = polar conjugate of X2489

  • X670 = antigonal image of X14948

  • X670 = cyclocevian conjugate of X35511

  • X670 = Xi-anticomplementary conjugate of Xj for these (i,j): {99, 21220}, {249, 17486}, {662, 25054}, {670, 21221}, {799, 148}, {1101, 8264}, {4590, 192}, {4593, 25047}, {4600, 1655}, {4601, 1654}, {4602, 3448}, {4609, 21294}, {4610, 9263}, {4623, 4440}, {4631, 39351}, {6064, 3177}, {7340, 3210}, {18020, 21216}, {23995, 40382}, {23999, 6392}, {24037, 2}, {24039, 39356}, {24041, 194}, {31614, 4560}, {34537, 8}, {37204, 25051}, {39292, 17493}, {44168, 6327}, {46254, 193}

  • X670 = Xi-complementary conjugate of Xj for these (i,j): {31, 9428}, {46274, 2887}

  • X670 = Xi-Ceva conjugate of Xj for these (i,j): {2, 9428}, {689, 99}, {4590, 33769}, {24037, 18021}, {34537, 76}, {42371, 4609}, {43187, 880}, {44168, 2}

  • X670 = Xi-cross conjugate of Xj for these (i,j): {2, 44168}, {69, 4590}, {75, 31625}, {76, 34537}, {99, 6331}, {314, 4601}, {315, 18020}, {511, 39292}, {512, 2}, {520, 42407}, {523, 308}, {668, 799}, {688, 39968}, {693, 40827}, {826, 1241}, {850, 76}, {874, 36803}, {888, 3228}, {1370, 23582}, {1510, 42332}, {1978, 4602}, {2979, 249}, {3221, 6}, {3265, 40830}, {3267, 1502}, {3268, 40832}, {3766, 40017}, {3888, 662}, {4374, 75}, {4427, 31624}, {4576, 99}, {6088, 18818}, {6373, 37128}, {6563, 276}, {7192, 274}, {7950, 1239}, {8672, 1218}, {8711, 3108}, {9402, 37}, {12220, 250}, {14221, 6035}, {14295, 290}, {15631, 2396}, {16175, 34539}, {17135, 1016}, {17137, 4998}, {17143, 7035}, {17159, 1268}, {17166, 30710}, {17217, 86}, {20245, 1275}, {20295, 32014}, {21295, 15455}, {21300, 333}, {21301, 14534}, {21305, 40415}, {30737, 41174}, {31296, 44165}, {33297, 4600}, {35522, 18023}, {35614, 4564}, {42331, 42333}, {44173, 34384}, {44445, 83}

  • X670 = cevapoint of Xi and Xj for these (i,j): {1, 18197}, {2, 512}, {6, 21006}, {69, 3267}, {75, 7199}, {76, 850}, {99, 4563}, {110, 4611}, {126, 690}, {141, 523}, {274, 7192}, {513, 3739}, {514, 3741}, {520, 6389}, {522, 21246}, {525, 1368}, {650, 42397}, {668, 1978}, {669, 9490}, {693, 20911}, {740, 27854}, {799, 7257}, {804, 39080}, {826, 21248}, {888, 35073}, {1269, 3261}, {2396, 15631}, {2786, 20339}, {3051, 9491}, {3221, 6374}, {3794, 4560}, {6333, 32458}, {8672, 10472}, {9402, 34021}, {23285, 42554}, {23610, 31646}, {35522, 36792}

  • X670 = crosspoint of Xi and Xj for these (i,j): {2, 46274}, {99, 3222}, {689, 42371}

  • X670 = crosssum of Xi and Xj for these (i,j): {6, 9431}, {512, 3221}, {688, 9494}, {1084, 23099}

  • X670 = trilinear pole of line {2, 39}

  • X670 = crossdifference of every pair of points on line {887, 1084}

  • X670 = Steiner-circumellipse-antipode of X3228

  • X670 = Steiner-circumellipse-X1-antipode of X18826

  • X670 = Steiner-circumellipse-X6-antipode of X3225

  • X670 = Xi-isoconjugate of Xj for these (i,j): {1, 669}, {2, 1924}, {6, 798}, {10, 1980}, {19, 3049}, {25, 810}, {31, 512}, {32, 661}, {37, 1919}, {41, 7180}, {42, 667}, {48, 2489}, {75, 9426}, {82, 688}, {99, 4117}, {101, 3121}, {163, 3124}, {213, 649}, {251, 2084}, {351, 923}, {513, 1918}, {514, 2205}, {523, 560}, {604, 3709}, {643, 1356}, {647, 1973}, {656, 1974}, {662, 1084}, {663, 1402}, {692, 3122}, {799, 9427}, {804, 1927}, {811, 23216}, {822, 2207}, {850, 1917}, {872, 3733}, {875, 3747}, {881, 1580}, {882, 1933}, {887, 37132}, {904, 7234}, {922, 9178}, {1018, 1977}, {1019, 7109}, {1042, 8641}, {1096, 39201}, {1101, 22260}, {1106, 4524}, {1109, 14574}, {1110, 8034}, {1245, 8646}, {1253, 7250}, {1333, 4079}, {1397, 4041}, {1400, 3063}, {1414, 7063}, {1501, 1577}, {1576, 2643}, {1645, 36133}, {1755, 2422}, {1910, 2491}, {1911, 4455}, {1922, 21832}, {1964, 18105}, {1967, 5027}, {2159, 14398}, {2175, 4017}, {2179, 2623}, {2200, 6591}, {2206, 4705}, {2258, 8639}, {2281, 2484}, {2333, 22383}, {2395, 9417}, {2433, 9406}, {2501, 9247}, {2616, 40981}, {2618, 14573}, {2624, 11060}, {2631, 40354}, {2642, 32740}, {2971, 4575}, {3005, 46289}, {3112, 9494}, {3113, 9006}, {3125, 32739}, {3221, 34248}, {3223, 9491}, {3224, 23503}, {3248, 4557}, {3288, 3402}, {3572, 41333}, {4010, 14598}, {4077, 9448}, {4086, 41280}, {4592, 42068}, {4826, 34819}, {7178, 9447}, {7216, 14827}, {8029, 23995}, {8061, 46288}, {8630, 40718}, {8640, 23493}, {8651, 38252}, {9233, 20948}, {9429, 43761}, {9456, 14407}, {14208, 44162}, {14567, 23894}, {14575, 24006}, {15630, 23997}, {18001, 18266}, {18070, 41331}, {18108, 41267}, {18892, 35352}, {20975, 32676}, {20979, 21759}, {20981, 40729}, {21835, 34071}, {21906, 36142}, {23099, 24041}, {23610, 24037}, {24018, 36417}, {36051, 42663}, {39258, 43929}

  • X670 = barycentric product Xi*Xj for these {i,j}: {1, 4602}, {6, 4609}, {38, 37204}, {39, 42371}, {69, 6331}, {75, 799}, {76, 99}, {81, 6386}, {85, 7257}, {86, 1978}, {100, 6385}, {110, 1502}, {112, 40050}, {141, 689}, {162, 40364}, {163, 1928}, {190, 310}, {249, 44173}, {264, 4563}, {274, 668}, {290, 2396}, {304, 811}, {305, 648}, {308, 4576}, {312, 4625}, {313, 4610}, {314, 4554}, {321, 4623}, {325, 43187}, {333, 4572}, {338, 31614}, {341, 4635}, {350, 4639}, {512, 44168}, {523, 34537}, {538, 886}, {561, 662}, {643, 20567}, {645, 6063}, {651, 40072}, {664, 28660}, {693, 4601}, {805, 14603}, {850, 4590}, {873, 4033}, {874, 40017}, {880, 1916}, {892, 3266}, {1088, 7258}, {1269, 4632}, {1414, 28659}, {1441, 4631}, {1509, 27808}, {1576, 40362}, {1577, 24037}, {1634, 40016}, {1909, 7260}, {1920, 4594}, {1921, 4589}, {1926, 37134}, {1930, 4593}, {1969, 4592}, {2421, 18024}, {3094, 9063}, {3096, 6572}, {3222, 6374}, {3261, 4600}, {3264, 4615}, {3267, 18020}, {3596, 4573}, {3926, 6528}, {3978, 18829}, {4176, 15352}, {4358, 4634}, {4552, 18021}, {4558, 18022}, {4561, 44129}, {4565, 40363}, {4567, 40495}, {4577, 8024}, {4583, 30940}, {4584, 18891}, {4611, 40421}, {4620, 35519}, {5468, 18023}, {5546, 41283}, {6333, 41174}, {6384, 36860}, {6393, 22456}, {6656, 35567}, {7035, 7199}, {7192, 31625}, {7763, 46134}, {7769, 46139}, {7788, 9211}, {7799, 35139}, {9146, 40826}, {9150, 30736}, {9170, 45809}, {9428, 46274}, {9464, 35138}, {9865, 41073}, {10010, 25424}, {10411, 20573}, {11059, 35179}, {11794, 33769}, {14208, 46254}, {14295, 39292}, {14570, 34384}, {14574, 40359}, {14615, 44326}, {17708, 40074}, {17932, 44132}, {17938, 18901}, {17941, 18896}, {18827, 27853}, {18830, 31008}, {18831, 28706}, {20775, 42395}, {20948, 24041}, {23342, 34087}, {24039, 46277}, {26235, 42367}, {30941, 36803}, {30966, 37133}, {31624, 33297}, {32661, 44161}, {35137, 39998}, {35540, 41209}, {35575, 40822}, {36036, 46238}, {36841, 41530}, {37205, 40087}, {37215, 44154}, {40073, 44766}, {40773, 46132}, {41760, 42297}

  • X670 = barycentric quotient Xi/Xj for these {i,j}: {1, 798}, {2, 512}, {3, 3049}, {4, 2489}, {6, 669}, {7, 7180}, {8, 3709}, {10, 4079}, {21, 3063}, {30, 14398}, {31, 1924}, {32, 9426}, {38, 2084}, {39, 688}, {58, 1919}, {63, 810}, {69, 647}, {75, 661}, {76, 523}, {81, 667}, {83, 18105}, {85, 4017}, {86, 649}, {94, 15475}, {95, 2623}, {98, 2422}, {99, 6}, {100, 213}, {101, 1918}, {107, 2207}, {110, 32}, {112, 1974}, {115, 22260}, {126, 21905}, {141, 3005}, {162, 1973}, {163, 560}, {183, 3288}, {190, 42}, {193, 8651}, {194, 3221}, {230, 42663}, {239, 4455}, {249, 1576}, {261, 7252}, {264, 2501}, {274, 513}, {279, 7250}, {286, 6591}, {287, 878}, {290, 2395}, {297, 17994}, {298, 6137}, {299, 6138}, {300, 20578}, {301, 20579}, {304, 656}, {305, 525}, {310, 514}, {311, 12077}, {312, 4041}, {313, 4024}, {314, 650}, {315, 2485}, {316, 2492}, {317, 6753}, {320, 21828}, {321, 4705}, {323, 14270}, {325, 3569}, {326, 822}, {328, 14582}, {332, 652}, {333, 663}, {338, 8029}, {341, 4171}, {343, 15451}, {346, 4524}, {350, 21832}, {385, 5027}, {391, 8653}, {394, 39201}, {476, 11060}, {511, 2491}, {512, 1084}, {513, 3121}, {514, 3122}, {519, 14407}, {523, 3124}, {524, 351}, {525, 20975}, {536, 14404}, {538, 888}, {542, 6041}, {543, 9171}, {561, 1577}, {598, 46001}, {599, 17414}, {643, 41}, {645, 55}, {646, 210}, {648, 25}, {651, 1402}, {658, 1042}, {662, 31}, {664, 1400}, {668, 37}, {669, 9427}, {671, 9178}, {689, 83}, {690, 21906}, {691, 32740}, {692, 2205}, {693, 3125}, {694, 881}, {754, 14428}, {789, 40747}, {798, 4117}, {799, 1}, {804, 2086}, {805, 9468}, {811, 19}, {823, 1096}, {827, 46288}, {850, 115}, {873, 1019}, {874, 2238}, {877, 232}, {880, 385}, {886, 3228}, {888, 1645}, {892, 111}, {894, 7234}, {932, 21759}, {940, 8639}, {1010, 2484}, {1016, 4557}, {1018, 872}, {1019, 3248}, {1026, 39258}, {1043, 657}, {1078, 3050}, {1084, 23610}, {1086, 8034}, {1088, 7216}, {1211, 42661}, {1213, 8663}, {1230, 6367}, {1269, 4988}, {1273, 2081}, {1296, 39238}, {1304, 40354}, {1306, 26454}, {1307, 26461}, {1310, 2281}, {1331, 2200}, {1332, 228}, {1333, 1980}, {1414, 604}, {1434, 43924}, {1444, 22383}, {1494, 2433}, {1502, 850}, {1509, 3733}, {1576, 1501}, {1577, 2643}, {1613, 9491}, {1625, 40981}, {1632, 42295}, {1633, 21750}, {1634, 3051}, {1645, 33918}, {1655, 9402}, {1698, 4826}, {1740, 23503}, {1812, 1946}, {1897, 2333}, {1916, 882}, {1920, 2533}, {1921, 4010}, {1928, 20948}, {1930, 8061}, {1969, 24006}, {1975, 2451}, {1978, 10}, {1992, 8644}, {1993, 34952}, {2287, 8641}, {2303, 8646}, {2395, 15630}, {2396, 511}, {2407, 1495}, {2420, 9407}, {2421, 237}, {2489, 42068}, {2501, 2971}, {2533, 21823}, {2617, 2179}, {2715, 14601}, {2799, 44114}, {2895, 42653}, {2966, 1976}, {3049, 23216}, {3051, 9494}, {3094, 17415}, {3117, 9006}, {3124, 23099}, {3222, 3224}, {3229, 9429}, {3231, 887}, {3233, 9408}, {3260, 1637}, {3261, 3120}, {3263, 24290}, {3264, 4120}, {3265, 3269}, {3266, 690}, {3267, 125}, {3268, 2088}, {3329, 14318}, {3448, 8574}, {3570, 3747}, {3573, 41333}, {3580, 21731}, {3589, 8664}, {3596, 3700}, {3616, 4832}, {3618, 3804}, {3681, 21837}, {3699, 1334}, {3709, 7063}, {3718, 8611}, {3732, 40934}, {3733, 1977}, {3741, 40627}, {3763, 8665}, {3766, 39786}, {3799, 3774}, {3882, 3725}, {3888, 16584}, {3903, 40729}, {3909, 40986}, {3926, 520}, {3936, 42666}, {3948, 4155}, {3952, 1500}, {3964, 32320}, {3978, 804}, {4033, 756}, {4036, 21833}, {4043, 21727}, {4083, 21835}, {4143, 2972}, {4226, 1692}, {4230, 2211}, {4235, 44102}, {4240, 14581}, {4358, 4730}, {4359, 4983}, {4367, 21755}, {4369, 4128}, {4374, 16592}, {4391, 4516}, {4397, 36197}, {4427, 20970}, {4436, 21753}, {4467, 20982}, {4552, 181}, {4553, 21814}, {4554, 65}, {4556, 2206}, {4557, 7109}, {4558, 184}, {4560, 3271}, {4561, 71}, {4563, 3}, {4565, 1397}, {4567, 692}, {4568, 21035}, {4569, 1427}, {4570, 32739}, {4572, 226}, {4573, 56}, {4575, 9247}, {4576, 39}, {4577, 251}, {4584, 1911}, {4585, 3724}, {4589, 292}, {4590, 110}, {4592, 48}, {4593, 82}, {4594, 893}, {4596, 28615}, {4597, 28658}, {4598, 23493}, {4599, 46289}, {4600, 101}, {4601, 100}, {4602, 75}, {4603, 904}, {4609, 76}, {4610, 58}, {4611, 206}, {4612, 2194}, {4615, 106}, {4616, 1407}, {4620, 109}, {4622, 9456}, {4623, 81}, {4625, 57}, {4631, 21}, {4632, 1126}, {4633, 2334}, {4634, 88}, {4635, 269}, {4637, 1106}, {4639, 291}, {4671, 4770}, {4998, 4559}, {5118, 33875}, {5224, 42664}, {5235, 4775}, {5333, 4834}, {5388, 4613}, {5467, 14567}, {5468, 187}, {5546, 2175}, {5562, 42293}, {5641, 14998}, {6035, 842}, {6063, 7178}, {6064, 5546}, {6189, 5638}, {6190, 5639}, {6331, 4}, {6333, 41172}, {6335, 1824}, {6374, 23301}, {6376, 21834}, {6382, 21051}, {6385, 693}, {6386, 321}, {6393, 684}, {6516, 1409}, {6528, 393}, {6542, 17990}, {6636, 37085}, {6650, 18001}, {6656, 2514}, {7035, 1018}, {7058, 21789}, {7180, 1356}, {7192, 1015}, {7199, 244}, {7253, 14936}, {7254, 22096}, {7256, 220}, {7257, 9}, {7258, 200}, {7259, 1253}, {7260, 256}, {7304, 16695}, {7307, 7255}, {7340, 4565}, {7757, 9009}, {7760, 21006}, {7763, 924}, {7769, 1510}, {7779, 5113}, {7788, 9210}, {7799, 526}, {7840, 9208}, {8024, 826}, {8033, 4367}, {8041, 2531}, {8115, 42667}, {8116, 42668}, {8781, 35364}, {8795, 15422}, {8842, 39680}, {9035, 865}, {9063, 3114}, {9146, 574}, {9150, 729}, {9170, 843}, {9182, 2502}, {9211, 14458}, {9293, 19610}, {9296, 21893}, {9428, 25054}, {9463, 9489}, {9464, 3906}, {9723, 30451}, {10009, 4806}, {10015, 42752}, {10330, 5007}, {10411, 50}, {10425, 32654}, {11054, 6088}, {11059, 1499}, {11064, 9409}, {11163, 11186}, {11794, 27375}, {13149, 1426}, {14208, 3708}, {14210, 2642}, {14221, 2493}, {14543, 40984}, {14568, 2872}, {14570, 51}, {14574, 9233}, {14586, 14573}, {14588, 20976}, {14590, 34397}, {14603, 14295}, {14607, 5106}, {14615, 6587}, {14618, 8754}, {14966, 9418}, {14999, 5191}, {15066, 42660}, {15164, 8106}, {15165, 8105}, {15352, 6524}, {15411, 3270}, {15413, 18210}, {15418, 851}, {15419, 3937}, {15423, 6754}, {15466, 44705}, {15631, 11672}, {16077, 8749}, {16084, 9035}, {16237, 44084}, {16695, 21762}, {16703, 2530}, {16704, 1960}, {16705, 6371}, {16709, 4979}, {16711, 6085}, {16712, 9002}, {16713, 2488}, {16726, 8027}, {16727, 764}, {16729, 3251}, {16741, 14419}, {16748, 6372}, {16887, 21123}, {17096, 1357}, {17103, 20981}, {17139, 3310}, {17140, 14991}, {17205, 21143}, {17206, 1459}, {17217, 6377}, {17402, 34394}, {17403, 34395}, {17708, 3455}, {17731, 5029}, {17790, 17989}, {17925, 42067}, {17929, 17961}, {17930, 17962}, {17931, 17963}, {17932, 248}, {17933, 17966}, {17934, 17735}, {17935, 5291}, {17936, 17967}, {17937, 17968}, {17938, 8789}, {17941, 1691}, {17946, 18002}, {17947, 18000}, {17948, 17993}, {17950, 17992}, {17952, 17999}, {17953, 17991}, {18020, 112}, {18021, 4560}, {18022, 14618}, {18023, 5466}, {18024, 43665}, {18026, 1880}, {18033, 7212}, {18047, 20964}, {18062, 17469}, {18135, 4139}, {18140, 4132}, {18143, 40471}, {18145, 4145}, {18152, 4151}, {18155, 2170}, {18157, 2254}, {18160, 2611}, {18197, 38986}, {18314, 41221}, {18600, 6363}, {18743, 4729}, {18827, 3572}, {18829, 694}, {18830, 16606}, {18831, 8882}, {18833, 18070}, {18837, 20910}, {18878, 14910}, {18895, 35352}, {18906, 45907}, {19583, 2519}, {19623, 5040}, {19804, 4822}, {20023, 23878}, {20477, 30442}, {20567, 4077}, {20573, 10412}, {20948, 1109}, {21006, 38996}, {21207, 21131}, {21272, 21796}, {21580, 4642}, {21604, 23928}, {21615, 4804}, {22151, 42659}, {22254, 20403}, {22329, 9135}, {22456, 6531}, {23092, 22386}, {23106, 33915}, {23181, 217}, {23285, 39691}, {23342, 3231}, {23354, 21830}, {23357, 14574}, {23582, 32713}, {23794, 22215}, {23878, 6784}, {23889, 922}, {23895, 3457}, {23896, 3458}, {23962, 23105}, {23997, 9417}, {23999, 24019}, {24004, 21805}, {24037, 662}, {24039, 896}, {24041, 163}, {25054, 38237}, {26235, 12073}, {26714, 46319}, {27164, 2978}, {27644, 8640}, {27801, 4036}, {27808, 594}, {27853, 740}, {27854, 38978}, {28659, 4086}, {28660, 522}, {28706, 6368}, {29226, 22227}, {30441, 32319}, {30450, 14593}, {30508, 2029}, {30509, 2028}, {30530, 37841}, {30596, 4838}, {30730, 7064}, {30736, 9148}, {30786, 10097}, {30939, 1635}, {30940, 659}, {30941, 665}, {30966, 3250}, {31008, 4083}, {31614, 249}, {31623, 18344}, {31624, 15320}, {31625, 3952}, {31632, 9218}, {31998, 20998}, {32036, 21461}, {32037, 21462}, {32042, 28625}, {32458, 41167}, {32661, 14575}, {32713, 36417}, {32715, 40351}, {32729, 19626}, {32833, 8675}, {32937, 22229}, {33295, 8632}, {33296, 20979}, {33297, 6586}, {33513, 33631}, {33514, 18898}, {33769, 31296}, {33799, 39024}, {33946, 3778}, {34016, 2605}, {34211, 42671}, {34245, 2030}, {34254, 8673}, {34284, 8672}, {34384, 15412}, {34386, 23286}, {34537, 99}, {34574, 41936}, {34760, 17964}, {35136, 8770}, {35137, 3108}, {35138, 1383}, {35139, 1989}, {35140, 34212}, {35146, 14606}, {35148, 2054}, {35179, 21448}, {35278, 40825}, {35319, 27374}, {35325, 27369}, {35356, 5008}, {35360, 3199}, {35519, 21044}, {35522, 1648}, {35538, 21053}, {35543, 14431}, {35549, 14420}, {35550, 2610}, {35575, 40799}, {36036, 1910}, {36066, 18268}, {36085, 923}, {36212, 39469}, {36792, 1649}, {36793, 5489}, {36797, 607}, {36803, 13576}, {36804, 34857}, {36827, 41272}, {36841, 154}, {36860, 43}, {36863, 20691}, {37128, 875}, {37133, 40718}, {37134, 1967}, {37204, 3112}, {37205, 40148}, {37215, 1245}, {37669, 42658}, {37779, 6140}, {37783, 42670}, {37804, 9517}, {37880, 9217}, {39290, 40355}, {39291, 34238}, {39292, 805}, {39295, 14560}, {39298, 44123}, {39299, 44124}, {39998, 7927}, {40017, 876}, {40022, 3800}, {40034, 31946}, {40050, 3267}, {40071, 4064}, {40072, 4391}, {40073, 33294}, {40074, 9979}, {40075, 4707}, {40087, 4129}, {40339, 40345}, {40362, 44173}, {40364, 14208}, {40495, 16732}, {40773, 788}, {40822, 30735}, {40826, 8599}, {40827, 4581}, {40832, 15328}, {40850, 17997}, {40866, 44127}, {40882, 5075}, {41174, 685}, {41209, 733}, {41259, 25423}, {41337, 32748}, {41488, 39182}, {41610, 8642}, {41629, 8643}, {41676, 1843}, {41678, 44079}, {41679, 44077}, {42308, 32695}, {42367, 39389}, {42370, 45773}, {42371, 308}, {42405, 8884}, {42717, 5360}, {42720, 20683}, {42721, 21839}, {43187, 98}, {43188, 9292}, {43754, 14600}, {44129, 7649}, {44130, 3064}, {44132, 16230}, {44133, 9209}, {44137, 6130}, {44146, 14273}, {44154, 6590}, {44173, 338}, {44326, 64}, {44327, 2357}, {44363, 42651}, {44372, 39527}, {44723, 44729}, {44766, 2353}, {44767, 39644}, {44769, 40352}, {45215, 40951}, {45792, 16186}, {45809, 8371}, {46134, 2165}, {46139, 2963}, {46148, 41267}, {46234, 36035}, {46254, 162}, {46277, 23894}

  • X670 = {Xi,Xj}-harmonic conjugate of Xk for these (i,j,k): {2, 1084, 31639}, {2, 25054, 1084}, {69, 1502, 33769}, {76, 45809, 18023}, {141, 9230, 308}, {799, 36860, 190}, {1084, 25054, 3228}, {1084, 35073, 36950}, {1084, 36950, 2}, {3228, 31639, 1084}, {18896, 42844, 694}, {25054, 36950, 31639}, {35073, 39361, 3228}, {36792, 45809, 76}