X₆₅₁

TRILINEAR POLE OF LINE X₁X_3

X₆₅₁ = cevapoint of X₁₀₁ and X₁₀₉

5, 6, 7 3, 4, 5 Kepler Kimberling

X₆₅₁ (TRILINEAR POLE OF LINE X₁X_3) constructed on acute reference triangle \((a, b, c) = (5, 6, 7)\) with unit baseline AB = \(1\).

Constructed Elements

• Central Lines: {6, 7}, {9, 77}

• Related Centers: X₆₅₀ (CROSSDIFFERENCE OF X₁ AND X₃), X₆ (SYMMEDIAN POINT), X₇ (GERGONNE POINT), X₉ (MITTENPUNKT), X₇₇ (ISOGONAL CONJUGATE OF X₃₃)

Trilinears: \(1/(\cos B - \cos C) : 1/(\cos C - \cos A) : 1/(\cos A - \cos B)\)

Barycentrics: \((\sin A)/(\cos B - \cos C) : (\sin B)/(\cos C - \cos A) : (\sin C)/(\cos A - \cos B)\)

Search Value (6, 9, 13): \(0.346887269147\)

▸ Alternate Coordinates2 forms

• Trilinears: \(1/[(b - c)(b + c - a)] : 1/[(c - a)(c + a - b)] : 1[(a - b)(a + b - c)]\)

• Barycentrics: \(a/[(b - c)(b + c - a)] : b/[(c - a)(c + a - b)] : c/[(a - b)(a + b - c)]\)

▸ Linear Combinations1 combination

• X₆₅₁ = \(3\) X₂ - \(4\) X₃₆₉₄₉, \(4\) X₆₉₂ - \(3\) X₃₅₂₈₀, \(2\) X₁₆₃₃ - \(3\) X₃₅₂₈₀, \(4\) X₃₆₉₄₉ - X₃₇₇₈₁

X₆₅₁ lies on the MacBeath circumconic.

▸ Incident Central Lines476 lines

{1, 1156}, {2, 222}, {3, 23707}, {4, 3157}, {5, 23070}, {6, 7}, {8, 221}, {9, 77}, {10, 34043}, {12, 8614}, {20, 7078}, {21, 73}, {30, 23071}, {34, 3868}, {37, 1442}, {40, 38674}, {43, 9316}, {44, 241}, {56, 19245}, {57, 88}, {59, 513}, {63, 223}, {65, 895}, {69, 478}, {72, 4296}, {75, 28968}, {78, 1394}, {79, 35197}, {80, 6126}, {81, 226}, {85, 3758}, {92, 2988}, {99, 32038}, {100, 109}, {101, 934}, {104, 34586}, {105, 1362}, {108, 110}, {112, 13395}, {141, 28780}, {144, 219}, {145, 34040}, {153, 15501}, {155, 1068}, {169, 2002}, {172, 28391}, {175, 1335}, {176, 1124}, {190, 644}, {193, 608}, {198, 1804}, {200, 34033}, {212, 7411}, {213, 7176}, {218, 279}, {220, 3160}, {225, 3193}, {238, 1458}, {239, 40862}, {255, 411}, {269, 1445}, {273, 2989}, {278, 1993}, {281, 5942}, {287, 894}, {307, 2287}, {312, 28997}, {321, 1943}, {323, 6357}, {329, 394}, {344, 28965}, {348, 37214}, {349, 37219}, {377, 19349}, {401, 44354}, {404, 603}, {481, 3301}, {482, 3299}, {500, 943}, {514, 655}, {518, 1456}, {521, 677}, {523, 21784}, {527, 2323}, {545, 41803}, {559, 7126}, {604, 1423}, {610, 7013}, {611, 4307}, {613, 4310}, {645, 799}, {648, 823}, {650, 7045}, {653, 1783}, {658, 1638}, {660, 6163}, {662, 1414}, {666, 1275}, {668, 6648}, {850, 43189}, {851, 17975}, {857, 3330}, {896, 1758}, {899, 9364}, {905, 1262}, {906, 32651}, {908, 22128}, {912, 1870}, {919, 6183}, {920, 1079}, {927, 8693}, {932, 29055}, {940, 5226}, {961, 17946}, {971, 3100}, {978, 1106}, {1000, 1480}, {1014, 1400}, {1018, 4606}, {1026, 4578}, {1030, 7279}, {1035, 1259}, {1037, 7083}, {1038, 3876}, {1040, 11220}, {1042, 5247}, {1046, 1254}, {1066, 3073}, {1069, 38295}, {1082, 19551}, {1100, 7269}, {1103, 2956}, {1110, 4905}, {1119, 3211}, {1170, 10481}, {1172, 7282}, {1190, 3599}, {1191, 4308}, {1201, 1476}, {1203, 4298}, {1214, 2349}, {1231, 37220}, {1252, 43049}, {1253, 1742}, {1305, 36080}, {1310, 8687}, {1319, 3246}, {1323, 5526}, {1386, 8581}, {1396, 40571}, {1398, 42461}, {1402, 37132}, {1404, 1429}, {1406, 1788}, {1407, 4383}, {1413, 27383}, {1418, 16669}, {1421, 3315}, {1424, 41526}, {1425, 29958}, {1427, 4641}, {1428, 1463}, {1431, 43763}, {1440, 27508}, {1444, 40590}, {1447, 33854}, {1449, 7190}, {1455, 4511}, {1465, 3218}, {1471, 4334}, {1498, 6223}, {1616, 6049}, {1617, 17127}, {1625, 40518}, {1654, 40999}, {1718, 11570}, {1723, 4341}, {1724, 4306}, {1757, 5018}, {1762, 37755}, {1768, 24025}, {1776, 8758}, {1812, 33066}, {1817, 40152}, {1818, 23693}, {1876, 34381}, {1880, 2987}, {1897, 13138}, {1936, 2635}, {1944, 30807}, {1958, 2199}, {1992, 6604}, {1994, 17483}, {2122, 7080}, {2124, 36973}, {2149, 36087}, {2161, 7202}, {2182, 7291}, {2183, 11349}, {2222, 4588}, {2261, 7289}, {2263, 3751}, {2265, 3942}, {2283, 4557}, {2286, 17257}, {2293, 2346}, {2295, 40765}, {2298, 7261}, {2317, 18162}, {2324, 34488}, {2348, 34855}, {2427, 23113}, {2428, 35312}, {2550, 45729}, {2580, 8115}, {2581, 8116}, {2639, 32320}, {2647, 2648}, {2720, 9058}, {2808, 3270}, {2895, 26942}, {2911, 41563}, {2975, 10571}, {2982, 21907}, {2986, 40149}, {3000, 9441}, {3008, 30379}, {3013, 8287}, {3074, 4303}, {3075, 6915}, {3091, 41344}, {3149, 23072}, {3215, 35976}, {3240, 37541}, {3248, 36267}, {3257, 3669}, {3292, 41349}, {3297, 17805}, {3298, 17802}, {3468, 44706}, {3487, 36742}, {3570, 4598}, {3573, 4499}, {3580, 37799}, {3600, 16466}, {3616, 34046}, {3638, 5357}, {3639, 5353}, {3660, 7292}, {3664, 21617}, {3668, 41572}, {3674, 5280}, {3676, 5375}, {3681, 8270}, {3684, 6168}, {3713, 32099}, {3759, 39126}, {3770, 34388}, {3784, 19649}, {3869, 21147}, {3873, 34036}, {3908, 40521}, {3911, 37222}, {3928, 36636}, {3945, 8232}, {3947, 37559}, {3952, 14594}, {3955, 4220}, {4014, 5091}, {4017, 37135}, {4032, 21741}, {4192, 22161}, {4219, 9637}, {4223, 45963}, {4224, 26892}, {4228, 20122}, {4253, 38859}, {4315, 5315}, {4321, 16469}, {4327, 16475}, {4328, 16667}, {4329, 22132}, {4331, 24695}, {4347, 5904}, {4350, 16572}, {4391, 6335}, {4417, 28774}, {4513, 25718}, {4556, 37140}, {4572, 37133}, {4584, 37134}, {4604, 5549}, {4607, 4998}, {4627, 4637}, {4649, 16133}, {4654, 43758}, {4715, 36589}, {5047, 37523}, {5120, 27624}, {5125, 5906}, {5219, 26738}, {5232, 5783}, {5236, 9028}, {5257, 24557}, {5260, 37558}, {5261, 5711}, {5276, 7179}, {5278, 27339}, {5279, 30456}, {5291, 43059}, {5328, 25934}, {5452, 7056}, {5703, 36746}, {5707, 5714}, {5744, 22129}, {5758, 37498}, {5782, 29611}, {5811, 17814}, {5848, 21293}, {5889, 41227}, {5932, 27382}, {6127, 10090}, {6147, 36750}, {6198, 40263}, {6326, 11700}, {6354, 18625}, {6505, 34052}, {6510, 43044}, {6603, 43064}, {6606, 32041}, {6646, 17086}, {6733, 43192}, {6909, 22350}, {6996, 20744}, {7004, 13243}, {7071, 42460}, {7074, 9778}, {7100, 35194}, {7191, 17625}, {7339, 14298}, {7352, 37117}, {7460, 23161}, {7580, 22117}, {7673, 12652}, {7952, 11441}, {8125, 34034}, {8126, 34026}, {8271, 30628}, {8540, 20358}, {8652, 26700}, {8732, 37681}, {9310, 34497}, {9317, 21742}, {9359, 36276}, {9446, 20229}, {9776, 10601}, {9809, 38357}, {9945, 22141}, {10025, 20752}, {10755, 25048}, {11573, 37431}, {11678, 34041}, {11679, 34044}, {11680, 34029}, {11681, 34030}, {11682, 34039}, {11685, 34037}, {11686, 34038}, {11687, 34031}, {11688, 34027}, {11690, 34025}, {12709, 17016}, {12738, 33649}, {12831, 45946}, {13149, 14545}, {13257, 15252}, {13397, 15439}, {14074, 14733}, {14100, 30621}, {14315, 23346}, {14511, 39756}, {15066, 31018}, {15251, 38055}, {15253, 33148}, {15507, 36280}, {15726, 41339}, {15906, 36125}, {16577, 33761}, {16610, 37789}, {16732, 18815}, {16948, 37583}, {17075, 17347}, {17077, 17277}, {17095, 17256}, {17120, 41246}, {17134, 22134}, {17234, 28741}, {17332, 41808}, {17335, 31225}, {17346, 33298}, {17349, 27342}, {17353, 23617}, {17379, 26125}, {17615, 34049}, {17796, 43066}, {17811, 18228}, {17950, 20072}, {18134, 28776}, {18230, 25878}, {18239, 40658}, {18624, 37672}, {18629, 20806}, {18631, 22133}, {18632, 23130}, {18743, 28996}, {18750, 28950}, {18771, 43947}, {18816, 40624}, {20245, 23124}, {20277, 24430}, {20348, 23125}, {20921, 28951}, {21189, 24027}, {21367, 44708}, {21859, 36074}, {23131, 23512}, {23541, 33650}, {23585, 23980}, {23704, 27834}, {24035, 44765}, {24149, 30690}, {24237, 24618}, {24341, 28125}, {24470, 37509}, {25737, 30719}, {26001, 44356}, {26006, 40880}, {26580, 26637}, {26657, 26685}, {26668, 27509}, {26842, 34545}, {26884, 33849}, {26890, 37261}, {27540, 37669}, {27994, 34061}, {28370, 41426}, {28606, 45126}, {28979, 33116}, {28999, 42719}, {29000, 42718}, {29353, 40910}, {29497, 38869}, {30572, 36237}, {30625, 34059}, {30684, 31164}, {31019, 37695}, {31231, 37687}, {32674, 36099}, {32736, 36098}, {34045, 35614}, {35466, 37797}, {36040, 36088}, {36049, 37141}, {36067, 43347}, {36075, 37211}, {36084, 43754}, {36092, 44770}, {36905, 39047}, {37516, 41230}, {37543, 37685}, {38459, 43065}, {38948, 45929}, {40443, 40606}, {40861, 44351}, {44112, 44151}, {44350, 44352}

▸ Functional Relations30 relations

• X₆₅₁ = reflection of X_i in X_j for these {i,j}: {7, 39063}, {81, 40584}, {1633, 692}, {1814, 6}, {4318, 1456}, {7291, 2182}, {22464, 43035}, {26932, 36949}, {36101, 9}, {37781, 26932}, {40577, 59}

• X₆₅₁ = isogonal conjugate of X₆₅₀

• X₆₅₁ = isotomic conjugate of X₄₃₉₁

• X₆₅₁ = complement of X₃₇₇₈₁

• X₆₅₁ = cevapoint of X₁₀₁ and X₁₀₉

• X₆₅₁ = polar conjugate of X₄₄₄₂₆

• X₆₅₁ = trilinear pole of line {1, 3}

• X₆₅₁ = crossdifference of every pair of points on line {926, 2170}

• X₆₅₁ = X_i-cross conjugate of X_j for these (i,j): (6, 59), (101, 100), (513, 7), (514, 81), (521, 77)

• X₆₅₁ = crosssum of X_i and X_j for these (i,j): (647, 661), (657, 663)

• X₆₅₁ = MacBeath circumconic antipode of X₁₈₁₄

• X₆₅₁ = trilinear pole wrt tangential triangle of line X₁X₃

• X₆₅₁ = orthocorrespondent of X₁₁

• X₆₅₁ = perspector of conic {A, B, C,PU(57)}}

• X₆₅₁ = eigencenter of Honsberger triangle

• X₆₅₁ = X₈₇₅₄-of-excentral-triangle

• X₆₅₁ = barycentric product of circumcircle intercepts of line X₇X₈

• X₆₅₁ = cevapoint of Feuerbach hyperbola intercepts of antiorthic axis

• X₆₅₁ = intersection, other than vertices of Gemini triangle 30, of {ABC, Gemini 30}-circumconic and {Gemini 29, Gemini 30}-circumconic

• X₆₅₁ = trilinear product of circumcircle intercepts of line X₂X₇

• X₆₅₁ = BSS(a^2→a) of X₁₁₂

• X₆₅₁ = X_i-Ceva conjugate of X_j for these (i,j): {1, 9358}, {7, 40577}, {648, 653}, {658, 934}, {662, 1813}, {664, 100}, {765, 1445}, {927, 2283}, {1016, 5435}, {1262, 17074}, {1275, 7}, {1414, 109}, {3257, 24029}, {4554, 6516}, {4564, 57}, {4569, 40576}, {4573, 664}, {4620, 1014}, {4998, 56}, {5376, 37789}, {6183, 35280}, {6648, 4552}, {7045, 1}, {7128, 17080}, {13136, 2406}, {18026, 108}, {23586, 3160}, {24011, 7676}, {24032, 411}, {31615, 4564}, {37139, 23890}, {39293, 7677}, {44327, 37141}, {46102, 2}

• X₆₅₁ = X_i-cross conjugate of X_j for these (i,j): {1, 7045}, {6, 59}, {9, 7012}, {56, 4998}, {57, 4564}, {101, 100}, {109, 934}, {218, 1252}, {221, 7339}, {222, 1262}, {223, 7128}, {238, 39293}, {513, 7}, {514, 81}, {521, 77}, {649, 1476}, {650, 1}, {652, 21}, {654, 104}, {657, 2346}, {661, 17097}, {665, 105}, {905, 2}, {906, 13397}, {928, 43363}, {978, 7035}, {1020, 653}, {1046, 24041}, {1415, 108}, {1461, 37141}, {1742, 24011}, {1743, 765}, {1745, 24032}, {1783, 13138}, {1983, 1290}, {2254, 43736}, {2283, 927}, {2348, 5377}, {2427, 901}, {2530, 7249}, {3063, 1037}, {3173, 44717}, {3287, 2298}, {3669, 57}, {3676, 1170}, {3960, 88}, {4040, 21453}, {4369, 1258}, {4383, 1016}, {4551, 664}, {4559, 109}, {4641, 4567}, {4790, 7091}, {4905, 1088}, {5247, 4600}, {6180, 1275}, {6364, 13389}, {6365, 13388}, {7175, 4620}, {7178, 2982}, {7180, 961}, {7234, 7176}, {7252, 951}, {7460, 2864}, {7655, 8809}, {9404, 943}, {10015, 2990}, {13401, 3296}, {14298, 8}, {14300, 5558}, {14349, 44733}, {14395, 1807}, {14837, 40399}, {14838, 1255}, {16610, 5376}, {16612, 1257}, {17496, 17074}, {18599, 24000}, {20980, 6}, {21007, 41431}, {21173, 86}, {21189, 75}, {21362, 190}, {21390, 82}, {21786, 106}, {23067, 1305}, {23090, 40442}, {23187, 95}, {23511, 5382}, {23800, 273}, {23890, 37139}, {24029, 655}, {30725, 34051}, {34032, 23984}, {34033, 24013}, {34048, 46102}, {35326, 101}, {36054, 3}, {36059, 6516}, {36075, 26700}, {39470, 1814}, {40137, 7320}, {43049, 279}, {43050, 34056}, {43051, 7132}, {43060, 28}, {43924, 1014}, {44319, 42311}

• X₆₅₁ = cevapoint of X_i and X_j for these (i,j): {1, 650}, {2, 17496}, {3, 36054}, {6, 513}, {9, 521}, {57, 3669}, {73, 652}, {101, 109}, {213, 7234}, {218, 43049}, {221, 14298}, {222, 905}, {226, 514}, {408, 32320}, {500, 9404}, {520, 18591}, {522, 20262}, {525, 1211}, {649, 1201}, {654, 34586}, {656, 18675}, {657, 2293}, {661, 2650}, {663, 1200}, {665, 1362}, {1019, 40153}, {1400, 43924}, {1415, 36059}, {2254, 9502}, {2850, 40584}, {3063, 7083}, {3287, 28369}, {3676, 10481}, {4551, 4559}, {6180, 20980}, {6364, 13389}, {6365, 13388}, {8677, 23980}, {15730, 43050}, {30719, 45204}, {39063, 39470}

• X₆₅₁ = crosspoint of X_i and X_j for these (i,j): {1, 9357}, {190, 44327}, {648, 662}, {658, 664}, {1414, 4573}, {4554, 18026}, {4564, 31615}

• X₆₅₁ = crosssum of X_i and X_j for these (i,j): {1, 9355}, {9, 4919}, {11, 42454}, {514, 21195}, {522, 4147}, {647, 661}, {657, 663}, {1946, 3063}, {3126, 42341}, {3709, 4041}, {10581, 21127}, {21044, 42462}

• X₆₅₁ = X_i-isoconjugate of X_j for these (i,j): {1, 650}, {2, 663}, {3, 3064}, {4, 652}, {6, 522}, {7, 657}, {8, 649}, {9, 513}, {10, 7252}, {11, 101}, {19, 521}, {21, 661}, {25, 6332}, {28, 8611}, {29, 647}, {31, 4391}, {32, 35519}, {33, 905}, {37, 3737}, {41, 693}, {42, 4560}, {44, 23838}, {48, 44426}, {55, 514}, {56, 3239}, {57, 3900}, {58, 3700}, {59, 42462}, {60, 4024}, {63, 18344}, {64, 14331}, {65, 1021}, {73, 17926}, {74, 14400}, {75, 3063}, {78, 6591}, {79, 9404}, {80, 654}, {81, 4041}, {84, 14298}, {85, 8641}, {86, 3709}, {88, 4895}, {89, 4814}, {92, 1946}, {100, 2170}, {106, 1639}, {108, 34591}, {109, 1146}, {110, 21044}, {111, 14432}, {115, 4636}, {124, 32653}, {158, 36054}, {184, 46110}, {188, 6729}, {190, 3271}, {200, 3669}, {210, 1019}, {212, 17924}, {213, 18155}, {219, 7649}, {220, 3676}, {225, 23090}, {226, 21789}, {244, 644}, {256, 3287}, {259, 6728}, {261, 4079}, {266, 6730}, {269, 4130}, {279, 4105}, {281, 1459}, {282, 6129}, {283, 2501}, {284, 523}, {291, 4435}, {292, 3716}, {294, 2254}, {312, 667}, {314, 798}, {318, 22383}, {332, 2489}, {333, 512}, {346, 43924}, {515, 2432}, {518, 1024}, {520, 8748}, {525, 2299}, {527, 23351}, {579, 23289}, {604, 4397}, {607, 4025}, {643, 3125}, {645, 3122}, {646, 3248}, {651, 2310}, {653, 3270}, {656, 1172}, {658, 3022}, {659, 4876}, {662, 4516}, {664, 14936}, {665, 14942}, {669, 28660}, {672, 885}, {673, 926}, {676, 2338}, {692, 4858}, {728, 43932}, {739, 14430}, {749, 4501}, {810, 31623}, {812, 7077}, {813, 4124}, {822, 1896}, {875, 3975}, {876, 3684}, {884, 3912}, {893, 3907}, {900, 2316}, {901, 4530}, {909, 2804}, {918, 2195}, {934, 3119}, {941, 17418}, {1002, 45755}, {1014, 4171}, {1015, 3699}, {1018, 18191}, {1022, 3689}, {1027, 3693}, {1036, 6590}, {1039, 2522}, {1043, 7180}, {1086, 3939}, {1110, 40166}, {1121, 6139}, {1126, 4976}, {1155, 23893}, {1170, 6608}, {1174, 6362}, {1178, 4140}, {1252, 21132}, {1253, 24002}, {1262, 23615}, {1292, 38375}, {1293, 4534}, {1318, 6544}, {1320, 1635}, {1331, 8735}, {1333, 4086}, {1334, 7192}, {1357, 6558}, {1395, 15416}, {1400, 7253}, {1407, 4163}, {1414, 36197}, {1415, 24026}, {1431, 4529}, {1432, 4477}, {1434, 4524}, {1436, 8058}, {1458, 28132}, {1461, 4081}, {1491, 2344}, {1577, 2194}, {1638, 4845}, {1647, 5548}, {1751, 8676}, {1783, 7004}, {1813, 42069}, {1826, 23189}, {1857, 4091}, {1897, 7117}, {1919, 3596}, {1924, 40072}, {1960, 4997}, {1973, 35518}, {1980, 28659}, {2053, 3835}, {2090, 45878}, {2125, 17427}, {2149, 42455}, {2150, 4036}, {2160, 35057}, {2161, 3738}, {2162, 4147}, {2163, 4944}, {2175, 3261}, {2183, 43728}, {2185, 4705}, {2189, 4064}, {2192, 14837}, {2193, 24006}, {2204, 14208}, {2212, 15413}, {2226, 4543}, {2258, 23880}, {2265, 46041}, {2269, 4581}, {2287, 4017}, {2291, 6366}, {2298, 17420}, {2311, 4010}, {2318, 17925}, {2319, 4083}, {2320, 4893}, {2321, 3733}, {2325, 23345}, {2328, 7178}, {2332, 17094}, {2334, 4765}, {2339, 8678}, {2342, 10015}, {2346, 21127}, {2348, 35355}, {2364, 4777}, {2423, 6735}, {2424, 40869}, {2425, 15633}, {2484, 30479}, {2488, 32008}, {2590, 3308}, {2591, 3307}, {2605, 7110}, {2643, 4612}, {2785, 17963}, {2968, 32674}, {2969, 4587}, {3049, 44130}, {3120, 5546}, {3121, 7257}, {3208, 43931}, {3224, 25128}, {3254, 22108}, {3445, 4521}, {3451, 42337}, {3572, 3685}, {3680, 4394}, {3688, 10566}, {3692, 43923}, {3710, 43925}, {3717, 43929}, {3732, 14935}, {3768, 36798}, {3904, 6187}, {4009, 23892}, {4069, 16726}, {4076, 21143}, {4092, 4556}, {4162, 8056}, {4451, 20981}, {4455, 36800}, {4474, 30650}, {4515, 7203}, {4517, 4817}, {4518, 8632}, {4522, 40746}, {4526, 37129}, {4542, 4638}, {4546, 40151}, {4557, 17197}, {4603, 40608}, {4617, 24010}, {4619, 5532}, {4626, 35508}, {4724, 40779}, {4750, 5547}, {4768, 9456}, {4775, 30608}, {4778, 34820}, {4790, 4866}, {4825, 30607}, {4834, 42030}, {4885, 9439}, {4913, 25426}, {4919, 6164}, {4939, 34080}, {4953, 38828}, {4959, 26745}, {4977, 33635}, {4979, 32635}, {4985, 28615}, {5060, 18013}, {5075, 17947}, {5089, 23696}, {5452, 26721}, {5514, 8059}, {5540, 42552}, {6059, 30805}, {6065, 6545}, {6066, 23100}, {6169, 42341}, {6182, 39273}, {6364, 13456}, {6365, 13427}, {6373, 36799}, {6506, 36082}, {6557, 8643}, {6589, 10570}, {6603, 35348}, {6607, 10509}, {6614, 23970}, {6615, 23617}, {6740, 21828}, {7072, 21188}, {7073, 14838}, {7091, 40137}, {7106, 8062}, {7108, 21761}, {7118, 17896}, {7131, 17115}, {7152, 14302}, {7155, 20979}, {7160, 14300}, {7162, 13401}, {7255, 20684}, {7707, 10495}, {8602, 30201}, {8638, 18031}, {8640, 27424}, {8648, 18359}, {8750, 26932}, {9447, 40495}, {10397, 40836}, {10482, 21104}, {10492, 16012}, {10579, 14282}, {10581, 21453}, {11125, 15627}, {11934, 44178}, {12032, 28143}, {12077, 35196}, {14304, 32677}, {14392, 34056}, {14395, 36119}, {14399, 44693}, {14413, 41798}, {14418, 36125}, {14571, 37628}, {14733, 33573}, {15313, 39943}, {15420, 40976}, {15997, 45877}, {17435, 36086}, {18000, 40882}, {18101, 46148}, {18108, 33299}, {21172, 30457}, {21185, 40141}, {21362, 40528}, {21390, 40505}, {21666, 32660}, {21739, 42657}, {21807, 39177}, {23104, 23979}, {23493, 27527}, {24012, 36838}, {24225, 40523}, {28291, 43960}, {29226, 36630}, {30731, 43922}, {31182, 33963}, {32641, 35015}, {32739, 34387}, {35072, 36127}, {36049, 38357}, {36050, 38345}, {39924, 45902}, {39956, 42312}, {42064, 43050}

• X₆₅₁ = barycentric product X_i*X_j for these {i,j}: {1, 664}, {3, 18026}, {4, 6516}, {6, 4554}, {7, 100}, {8, 934}, {9, 658}, {10, 1414}, {21, 4566}, {31, 4572}, {34, 4561}, {36, 35174}, {37, 4573}, {42, 4625}, {55, 4569}, {56, 668}, {57, 190}, {59, 693}, {63, 653}, {65, 99}, {69, 108}, {73, 811}, {75, 109}, {76, 1415}, {77, 1897}, {78, 36118}, {81, 4552}, {85, 101}, {86, 4551}, {92, 1813}, {105, 883}, {110, 1441}, {112, 1231}, {158, 6517}, {162, 307}, {163, 349}, {181, 4623}, {200, 4626}, {210, 4616}, {219, 13149}, {220, 36838}, {222, 6335}, {223, 44327}, {225, 4592}, {226, 662}, {241, 666}, {256, 6649}, {264, 36059}, {269, 3699}, {273, 1331}, {274, 4559}, {278, 1332}, {279, 644}, {286, 23067}, {304, 32674}, {312, 1461}, {319, 26700}, {320, 2222}, {321, 4565}, {322, 8059}, {326, 36127}, {329, 37141}, {331, 906}, {333, 1020}, {341, 6614}, {345, 32714}, {346, 4617}, {347, 13138}, {348, 1783}, {354, 6606}, {377, 13395}, {388, 1310}, {479, 4578}, {497, 8269}, {513, 4998}, {514, 4564}, {518, 927}, {522, 7045}, {527, 37139}, {552, 40521}, {553, 37212}, {604, 1978}, {643, 3668}, {645, 1427}, {646, 1407}, {648, 1214}, {650, 1275}, {655, 3218}, {660, 1447}, {661, 4620}, {670, 1402}, {672, 34085}, {673, 1025}, {692, 6063}, {738, 6558}, {765, 3676}, {789, 1469}, {799, 1400}, {813, 10030}, {823, 40152}, {831, 7247}, {894, 37137}, {898, 43037}, {903, 23703}, {905, 46102}, {908, 37136}, {919, 40704}, {932, 3212}, {940, 32038}, {1014, 3952}, {1016, 3669}, {1018, 1434}, {1042, 7257}, {1086, 31615}, {1088, 3939}, {1119, 4571}, {1121, 23890}, {1122, 8706}, {1155, 35157}, {1252, 24002}, {1262, 4391}, {1284, 4589}, {1292, 6604}, {1293, 39126}, {1305, 3868}, {1317, 4618}, {1319, 4555}, {1334, 4635}, {1397, 6386}, {1403, 18830}, {1408, 27808}, {1409, 6331}, {1412, 4033}, {1423, 4598}, {1428, 4583}, {1429, 4562}, {1432, 18047}, {1439, 36797}, {1442, 6742}, {1445, 37206}, {1446, 5546}, {1449, 4624}, {1462, 42720}, {1463, 8709}, {1465, 13136}, {1476, 21272}, {1492, 7179}, {1509, 21859}, {1633, 8817}, {1758, 35154}, {1799, 46152}, {1847, 4587}, {1880, 4563}, {1909, 29055}, {1945, 15418}, {1969, 32660}, {1981, 40843}, {2003, 15455}, {2006, 4585}, {2078, 35171}, {2099, 4597}, {2149, 3261}, {2171, 4610}, {2185, 4605}, {2223, 46135}, {2254, 39293}, {2283, 2481}, {2284, 34018}, {2285, 37215}, {2321, 4637}, {2338, 24015}, {2346, 35312}, {2397, 34051}, {2398, 43736}, {2406, 36100}, {2550, 6183}, {2652, 17933}, {2720, 3262}, {2742, 38468}, {3057, 6613}, {3112, 46153}, {3219, 38340}, {3257, 3911}, {3263, 32735}, {3451, 21580}, {3573, 7233}, {3598, 37223}, {3649, 4596}, {3666, 6648}, {3671, 4614}, {3674, 36147}, {3732, 7131}, {3779, 34083}, {3903, 7176}, {3912, 36146}, {4017, 4600}, {4025, 7012}, {4032, 4603}, {4059, 8708}, {4076, 43932}, {4077, 4570}, {4105, 24011}, {4130, 23586}, {4146, 6733}, {4163, 24013}, {4357, 36098}, {4397, 7339}, {4556, 6358}, {4558, 40149}, {4567, 7178}, {4579, 7249}, {4584, 16609}, {4586, 7146}, {4595, 7153}, {4601, 7180}, {4604, 5219}, {4606, 21454}, {4612, 6354}, {4619, 4858}, {4621, 41777}, {4622, 40663}, {4654, 37211}, {4705, 7340}, {4968, 29279}, {5061, 35147}, {5172, 35156}, {5221, 32042}, {5228, 32041}, {5252, 13396}, {5376, 30725}, {5377, 43042}, {5378, 43041}, {5379, 17094}, {5380, 7181}, {5382, 30719}, {5383, 43051}, {5385, 43052}, {5389, 7214}, {5435, 27834}, {6012, 30617}, {6135, 13453}, {6136, 13436}, {6180, 30610}, {6332, 7128}, {6528, 22341}, {6540, 32636}, {6734, 36048}, {7035, 43924}, {7115, 15413}, {7132, 33946}, {7175, 27805}, {7182, 8750}, {7235, 36066}, {7265, 35049}, {7316, 42721}, {7672, 43349}, {8047, 40577}, {8680, 41206}, {8685, 33930}, {8687, 20911}, {8707, 24471}, {9357, 10001}, {9436, 36086}, {10509, 35341}, {13486, 40999}, {13577, 40576}, {14612, 39957}, {14733, 30806}, {14942, 41353}, {17080, 44765}, {17090, 29227}, {17097, 17136}, {17791, 34921}, {17924, 44717}, {18033, 34067}, {18743, 38828}, {18816, 23981}, {19604, 43290}, {20567, 32739}, {20924, 32675}, {20930, 36082}, {21362, 40420}, {21453, 35338}, {22464, 36037}, {24027, 35519}, {24029, 34234}, {30456, 44326}, {30545, 34071}, {31618, 35326}, {32018, 36075}, {32693, 34284}, {33864, 36094}, {34855, 36802}, {35516, 36040}, {36049, 40702}, {37138, 40719}, {37143, 37787}

• X₆₅₁ = barycentric quotient X_i/X_j for these {i,j}: {1, 522}, {2, 4391}, {3, 521}, {4, 44426}, {6, 650}, {7, 693}, {8, 4397}, {9, 3239}, {10, 4086}, {11, 42455}, {12, 4036}, {19, 3064}, {21, 7253}, {25, 18344}, {31, 663}, {32, 3063}, {34, 7649}, {35, 35057}, {36, 3738}, {37, 3700}, {40, 8058}, {41, 657}, {42, 4041}, {43, 4147}, {44, 1639}, {45, 4944}, {48, 652}, {55, 3900}, {56, 513}, {57, 514}, {58, 3737}, {59, 100}, {63, 6332}, {65, 523}, {69, 35518}, {71, 8611}, {73, 656}, {75, 35519}, {77, 4025}, {81, 4560}, {85, 3261}, {86, 18155}, {92, 46110}, {99, 314}, {100, 8}, {101, 9}, {104, 43728}, {105, 885}, {106, 23838}, {107, 1896}, {108, 4}, {109, 1}, {110, 21}, {112, 1172}, {162, 29}, {163, 284}, {171, 3907}, {172, 3287}, {181, 4705}, {184, 1946}, {190, 312}, {198, 14298}, {200, 4163}, {201, 4064}, {213, 3709}, {220, 4130}, {221, 6129}, {222, 905}, {223, 14837}, {225, 24006}, {226, 1577}, {238, 3716}, {241, 918}, {244, 21132}, {249, 4612}, {259, 6730}, {266, 6728}, {269, 3676}, {273, 46107}, {278, 17924}, {279, 24002}, {284, 1021}, {294, 28132}, {307, 14208}, {345, 15416}, {347, 17896}, {348, 15413}, {349, 20948}, {354, 6362}, {388, 2517}, {404, 20293}, {478, 6588}, {512, 4516}, {513, 11}, {514, 4858}, {515, 14304}, {517, 2804}, {519, 4768}, {521, 2968}, {522, 24026}, {553, 4978}, {577, 36054}, {603, 1459}, {604, 649}, {608, 6591}, {610, 14331}, {643, 1043}, {644, 346}, {648, 31623}, {649, 2170}, {650, 1146}, {652, 34591}, {653, 92}, {655, 18359}, {657, 3119}, {658, 85}, {659, 4124}, {660, 4518}, {661, 21044}, {662, 333}, {663, 2310}, {664, 75}, {665, 17435}, {666, 36796}, {667, 3271}, {668, 3596}, {670, 40072}, {678, 4543}, {692, 55}, {693, 34387}, {750, 4474}, {764, 7336}, {765, 3699}, {799, 28660}, {811, 44130}, {813, 4876}, {825, 2344}, {874, 4087}, {883, 3263}, {896, 14432}, {898, 36798}, {899, 14430}, {901, 1320}, {902, 4895}, {905, 26932}, {906, 219}, {919, 294}, {927, 2481}, {932, 7155}, {934, 7}, {940, 23880}, {953, 46041}, {961, 4581}, {982, 3810}, {984, 4522}, {1014, 7192}, {1016, 646}, {1018, 2321}, {1019, 17197}, {1020, 226}, {1023, 2325}, {1025, 3912}, {1026, 3717}, {1038, 23874}, {1042, 4017}, {1086, 40166}, {1100, 4976}, {1101, 4636}, {1106, 43924}, {1110, 3939}, {1125, 4985}, {1155, 6366}, {1172, 17926}, {1193, 17420}, {1201, 6615}, {1214, 525}, {1231, 3267}, {1252, 644}, {1253, 4105}, {1275, 4554}, {1284, 4010}, {1290, 11604}, {1292, 6601}, {1293, 3680}, {1295, 43737}, {1305, 2997}, {1308, 3254}, {1310, 30479}, {1319, 900}, {1331, 78}, {1332, 345}, {1333, 7252}, {1334, 4171}, {1357, 764}, {1361, 42757}, {1362, 3126}, {1381, 3308}, {1382, 3307}, {1388, 4926}, {1393, 21102}, {1394, 21172}, {1396, 17925}, {1397, 667}, {1398, 43923}, {1399, 2605}, {1400, 661}, {1401, 2530}, {1402, 512}, {1403, 4083}, {1404, 1635}, {1405, 4893}, {1407, 3669}, {1408, 3733}, {1409, 647}, {1412, 1019}, {1414, 86}, {1415, 6}, {1416, 1027}, {1417, 23345}, {1418, 21104}, {1419, 7658}, {1420, 3667}, {1421, 21201}, {1423, 3835}, {1424, 21191}, {1427, 7178}, {1428, 659}, {1429, 812}, {1434, 7199}, {1437, 23189}, {1438, 1024}, {1439, 17094}, {1441, 850}, {1442, 4467}, {1443, 4453}, {1445, 4468}, {1447, 3766}, {1449, 4765}, {1456, 676}, {1457, 1769}, {1458, 2254}, {1459, 7004}, {1460, 8678}, {1461, 57}, {1463, 3837}, {1465, 10015}, {1468, 17418}, {1469, 1491}, {1470, 9001}, {1471, 4724}, {1475, 21127}, {1477, 35355}, {1486, 11934}, {1490, 14302}, {1576, 2194}, {1617, 3309}, {1633, 497}, {1635, 4530}, {1740, 25128}, {1743, 4521}, {1758, 2785}, {1769, 35015}, {1783, 281}, {1795, 37628}, {1804, 4131}, {1812, 15411}, {1813, 63}, {1870, 44428}, {1875, 39534}, {1880, 2501}, {1897, 318}, {1914, 4435}, {1935, 8062}, {1943, 17899}, {1946, 3270}, {1978, 28659}, {1981, 1948}, {1983, 2323}, {2003, 14838}, {2078, 3887}, {2099, 4777}, {2149, 101}, {2170, 42462}, {2171, 4024}, {2173, 14400}, {2174, 9404}, {2175, 8641}, {2177, 4814}, {2193, 23090}, {2194, 21789}, {2218, 23289}, {2222, 80}, {2223, 926}, {2241, 4501}, {2280, 45755}, {2283, 518}, {2284, 3693}, {2285, 6590}, {2286, 2522}, {2291, 23893}, {2293, 6608}, {2295, 4140}, {2310, 23615}, {2329, 4529}, {2330, 4477}, {2352, 8676}, {2425, 2182}, {2426, 41339}, {2652, 18013}, {2687, 14224}, {2701, 2648}, {2703, 11609}, {2714, 43746}, {2720, 104}, {2722, 43735}, {2742, 34894}, {2743, 12641}, {3052, 4162}, {3057, 42337}, {3063, 14936}, {3158, 4546}, {3198, 14308}, {3212, 20906}, {3218, 3904}, {3230, 4526}, {3251, 4542}, {3257, 4997}, {3284, 14395}, {3339, 28147}, {3340, 28161}, {3361, 4778}, {3446, 42552}, {3485, 7650}, {3570, 3975}, {3573, 3685}, {3598, 30804}, {3616, 4811}, {3649, 30591}, {3659, 42017}, {3660, 2826}, {3666, 3910}, {3667, 4939}, {3668, 4077}, {3669, 1086}, {3671, 4815}, {3674, 4509}, {3676, 1111}, {3683, 4990}, {3684, 4148}, {3689, 4528}, {3699, 341}, {3709, 36197}, {3733, 18191}, {3745, 29278}, {3752, 21120}, {3799, 3790}, {3868, 20294}, {3870, 44448}, {3882, 3687}, {3888, 3705}, {3900, 4081}, {3903, 4451}, {3911, 3762}, {3915, 42312}, {3939, 200}, {3952, 3701}, {4017, 3120}, {4025, 17880}, {4033, 30713}, {4069, 4082}, {4077, 21207}, {4105, 24010}, {4130, 23970}, {4162, 4953}, {4242, 5081}, {4258, 4827}, {4306, 23800}, {4334, 24720}, {4350, 31605}, {4367, 4459}, {4383, 20317}, {4391, 23978}, {4394, 4534}, {4401, 4965}, {4427, 3702}, {4436, 3706}, {4482, 4494}, {4551, 10}, {4552, 321}, {4553, 3703}, {4554, 76}, {4556, 2185}, {4557, 210}, {4558, 1812}, {4559, 37}, {4561, 3718}, {4564, 190}, {4565, 81}, {4566, 1441}, {4567, 645}, {4569, 6063}, {4570, 643}, {4571, 1265}, {4572, 561}, {4573, 274}, {4574, 3694}, {4575, 283}, {4578, 5423}, {4579, 7081}, {4584, 36800}, {4585, 32851}, {4587, 3692}, {4588, 2320}, {4590, 4631}, {4592, 332}, {4595, 4110}, {4598, 27424}, {4600, 7257}, {4604, 30608}, {4605, 6358}, {4612, 7058}, {4617, 279}, {4619, 4564}, {4620, 799}, {4623, 18021}, {4624, 40023}, {4625, 310}, {4626, 1088}, {4636, 1098}, {4637, 1434}, {4649, 4913}, {4654, 4823}, {4705, 4092}, {4752, 4873}, {4781, 3902}, {4848, 4404}, {4849, 44729}, {4905, 17059}, {4998, 668}, {5018, 4458}, {5061, 2787}, {5172, 8674}, {5193, 2827}, {5219, 4791}, {5221, 4802}, {5228, 4762}, {5376, 4582}, {5377, 36802}, {5378, 36801}, {5379, 36797}, {5435, 4462}, {5546, 2287}, {5606, 10266}, {5930, 17898}, {6001, 14312}, {6011, 6598}, {6014, 4900}, {6063, 40495}, {6065, 4578}, {6099, 45393}, {6129, 38357}, {6135, 13454}, {6136, 13426}, {6180, 4885}, {6335, 7017}, {6386, 40363}, {6516, 69}, {6517, 326}, {6558, 30693}, {6575, 42015}, {6584, 6595}, {6586, 38358}, {6589, 38345}, {6591, 8735}, {6594, 38376}, {6610, 1638}, {6614, 269}, {6648, 30710}, {6649, 1909}, {6733, 188}, {7012, 1897}, {7023, 43932}, {7045, 664}, {7083, 17115}, {7113, 654}, {7115, 1783}, {7125, 4091}, {7128, 653}, {7146, 824}, {7175, 4369}, {7176, 4374}, {7178, 16732}, {7180, 3125}, {7183, 30805}, {7201, 4500}, {7203, 17205}, {7210, 21178}, {7223, 4411}, {7225, 4382}, {7234, 40608}, {7239, 4136}, {7248, 3777}, {7335, 23224}, {7339, 934}, {7340, 4623}, {8059, 84}, {8269, 8817}, {8614, 31947}, {8641, 3022}, {8677, 35014}, {8683, 3893}, {8685, 983}, {8686, 23836}, {8687, 2298}, {8693, 40779}, {8694, 4866}, {8697, 1392}, {8701, 32635}, {8750, 33}, {9058, 30513}, {9312, 20907}, {9316, 4449}, {9358, 39351}, {9455, 8638}, {10310, 30201}, {10473, 784}, {10571, 21189}, {11011, 28183}, {13136, 36795}, {13138, 280}, {13149, 331}, {13397, 43740}, {13444, 177}, {13462, 6006}, {13486, 3615}, {13588, 21300}, {14074, 34919}, {14298, 5514}, {14544, 23661}, {14594, 4385}, {14733, 1156}, {14882, 8702}, {15385, 40097}, {15386, 36050}, {15439, 943}, {16577, 7265}, {16680, 11997}, {16686, 11193}, {16777, 4820}, {16878, 6005}, {17074, 17496}, {17082, 23807}, {17095, 18160}, {17096, 16727}, {17197, 40213}, {17496, 40624}, {17780, 4723}, {17942, 2651}, {18026, 264}, {18047, 17787}, {18097, 18070}, {18108, 18101}, {18199, 16759}, {18344, 42069}, {18421, 28169}, {18593, 4707}, {20122, 39212}, {20229, 10581}, {20615, 40086}, {20958, 11124}, {21007, 38347}, {21132, 1090}, {21147, 21186}, {21173, 34589}, {21189, 124}, {21272, 20895}, {21362, 3452}, {21454, 4801}, {21859, 594}, {22341, 520}, {22356, 14418}, {22383, 7117}, {22464, 36038}, {23067, 72}, {23144, 24562}, {23224, 1364}, {23343, 4009}, {23344, 3689}, {23346, 1155}, {23353, 243}, {23363, 21334}, {23586, 36838}, {23703, 519}, {23706, 1785}, {23832, 3880}, {23845, 3057}, {23890, 527}, {23971, 4617}, {23979, 1415}, {23981, 517}, {24002, 23989}, {24013, 4626}, {24016, 43736}, {24019, 8748}, {24026, 23104}, {24027, 109}, {24029, 908}, {24033, 36127}, {24443, 21119}, {24471, 3004}, {25577, 4051}, {26665, 29003}, {26700, 79}, {26716, 42317}, {27644, 27527}, {27834, 6557}, {29055, 256}, {30239, 10309}, {30456, 6587}, {31343, 6556}, {31615, 1016}, {32038, 34258}, {32636, 4977}, {32643, 32677}, {32651, 2982}, {32652, 2192}, {32656, 212}, {32660, 48}, {32661, 2193}, {32665, 2316}, {32666, 2195}, {32669, 909}, {32674, 19}, {32675, 2161}, {32676, 2299}, {32677, 2432}, {32691, 1039}, {32693, 941}, {32714, 278}, {32728, 34068}, {32735, 105}, {32739, 41}, {34036, 21185}, {34051, 2401}, {34067, 7077}, {34068, 23351}, {34071, 2319}, {34073, 2364}, {34074, 34820}, {34085, 18031}, {34497, 21195}, {34543, 17424}, {34855, 43042}, {34921, 3065}, {35174, 20566}, {35280, 390}, {35281, 3872}, {35307, 21011}, {35312, 20880}, {35326, 1212}, {35327, 3683}, {35338, 4847}, {35342, 3686}, {36039, 2338}, {36040, 102}, {36049, 282}, {36050, 10570}, {36054, 35072}, {36057, 23696}, {36059, 3}, {36067, 36121}, {36072, 1251}, {36073, 33653}, {36074, 16777}, {36075, 1100}, {36076, 1061}, {36079, 8809}, {36080, 2335}, {36082, 90}, {36086, 14942}, {36094, 1311}, {36098, 1220}, {36100, 2399}, {36110, 36123}, {36113, 32706}, {36118, 273}, {36127, 158}, {36134, 35196}, {36141, 2291}, {36146, 673}, {37136, 34234}, {37137, 257}, {37139, 1121}, {37141, 189}, {37211, 42030}, {37212, 4102}, {37523, 28623}, {37541, 14077}, {37543, 23882}, {37579, 15313}, {37580, 6182}, {37583, 6003}, {37593, 4843}, {37595, 26732}, {37694, 20316}, {37787, 30565}, {37800, 26546}, {38296, 2516}, {38340, 30690}, {38809, 31628}, {38828, 8056}, {39630, 15910}, {39633, 6597}, {40097, 43742}, {40117, 7003}, {40149, 14618}, {40152, 24018}, {40499, 4073}, {40521, 6057}, {40576, 3434}, {40577, 149}, {41206, 35145}, {41280, 1980}, {41349, 2798}, {41353, 9436}, {41405, 4919}, {41426, 30198}, {41526, 20979}, {41777, 3776}, {42289, 4804}, {42552, 34896}, {42757, 3326}, {43040, 20908}, {43049, 4904}, {43051, 21138}, {43052, 4957}, {43192, 178}, {43290, 44720}, {43736, 2400}, {43909, 42547}, {43923, 2969}, {43924, 244}, {43932, 1358}, {43947, 43974}, {44327, 34404}, {44426, 21666}, {44717, 1332}, {45219, 14284}, {45874, 15997}, {45875, 2090}, {46102, 6335}, {46148, 33299}, {46152, 427}, {46153, 38}

• {X_i,X_j}-harmonic conjugate of X_k for these (i,j,k): {1, 9355, 2310}, {2, 222, 17074}, {2, 37781, 26932}, {4, 3157, 3562}, {6, 6180, 7}, {7, 37771, 1086}, {9, 1419, 77}, {44, 241, 37787}, {44, 6610, 241}, {57, 43048, 88}, {63, 223, 17080}, {73, 1935, 21}, {101, 1461, 1813}, {109, 4551, 100}, {190, 664, 4552}, {190, 1332, 644}, {190, 4585, 1332}, {221, 9370, 8}, {222, 34048, 2}, {222, 43043, 34051}, {226, 2003, 81}, {238, 1458, 7677}, {241, 6610, 1443}, {255, 1745, 411}, {269, 1445, 17092}, {269, 1743, 1445}, {603, 37694, 404}, {650, 7045, 9358}, {662, 1414, 4565}, {692, 1633, 35280}, {948, 4644, 7}, {1020, 1461, 934}, {1020, 21362, 24029}, {1086, 5723, 37771}, {1201, 9363, 1476}, {1253, 1742, 7676}, {1400, 7175, 1014}, {1407, 4383, 5435}, {1421, 5083, 3315}, {1442, 29007, 37}, {1443, 37787, 241}, {1633, 40576, 40577}, {1783, 32714, 653}, {1936, 2635, 36002}, {2263, 3751, 7672}, {2265, 3942, 16560}, {2293, 9440, 2346}, {2310, 9355, 1156}, {2647, 2650, 17097}, {3000, 9441, 30295}, {3074, 4303, 6986}, {3157, 8757, 4}, {3888, 4579, 100}, {3939, 35338, 100}, {4014, 20958, 5091}, {4334, 16468, 1471}, {4566, 14543, 653}, {10481, 17745, 1170}, {26932, 36949, 2}, {30725, 45273, 664}, {34028, 37659, 77}, {36280, 36942, 15507}

Notes

Let E₁ and E₉ be the circumellipses centered at X₁ and X₉, respectively. The line tangent to E₁ at X₁₀₀ meets E₉ at X₆₅₁. (Dan Reznik, July 7, 2019)