X(75) = X(75) ISOTOMIC CONJUGATE OF INCENTER

Trilinears

\(1/a2 : 1/b2 : 1/c2\)

\(1/(1 - cos 2A) : 1/(1 - cos 2B) : 1/(1 - cos 2C)\)

\(SA + S2 : SB + S2 : SC + S2\)

\(sec2(A/2) + csc2(A/2) : :\)

\(d(a,b,c) : : , where d(a,b,c) = distance from A to Lemoine axis\)

\(h(a,b,c) : : , where h(a,b,c) = (distance from A to antiorthic axis)2\)

Barycentrics

\(1/a : 1/b : 1/c\)

\(csc A : csc B : csc C\)

Notes

Let A2B2C2 be the 2nd Conway triangle. Let A’ be the trilinear pole of line B2C2, and define B’ and C’ cyclically. The lines AA’, BB’, CC’ concur in X(75). (Randy Hutson, December 10, 2016)

Let A4B4C4 be the 4th Conway triangle. Let A’ be the trilinear pole of line B4C4, and define B’ and C’ cyclically. The lines AA’, BB’, CC’ concur in X(75). (Randy Hutson, December 10, 2016)

Let AaBaCa, AbBbCb, AcBcCc be the A-, B-, and C-anti-altimedial triangles, resp. Let A’ be the trilinear product Ba*Ca, and define B’ and C’ cyclically. The lines AA’, BB’, CC’ concur in X(75). (Randy Hutson, November 2, 2017)

Let A23B23C23 be Gemini triangle 23. Let A’ be the perspector of conic {A,B,C,B23,C23}}, and define B’ and C’ cyclically. The lines AA’, BB’, CC’ concur in X(75). (Randy Hutson, January 15, 2019)

Let A40B40C40 be Gemini triangle 40. Let A’ be the perspector of conic {A,B,C,B40,C40}}, and define B’ and C’ cyclically. The lines AA’, BB’, CC’ concur in X(75). (Randy Hutson, January 15, 2019)

If you have Geometer’s Sketchpad, X(75). If you have GeoGebra, you can view X(75).

X(75) lies on the circumconic {A,B,C,:ref:X(2) <X(2)>,:ref:X(7) <X(7)>}}, the cubics K014, K034, K132, K183, K184, K254, K276, K286, K323, K366, K432, K507, K605, K697, K738, K743, K766, K767, K768, K862, K863, K865, K868, K968, K970, K985, K986, K990, K992, K994, K995, K996, K999, K1015, K1020, K1022, K1031, K1032, K1038, the curve Q124, and these lines: {1, 86}, {2, 37}, {3, 17864}, {4, 12689}, {5, 19839}, {6, 239}, {7, 8}, {9, 190}, {10, 76}, {11, 16067}, {12, 21405}, {19, 27}, {20, 30271}, {21, 272}, {22, 21407}, {23, 21408}, {31, 82}, {32, 746}, {34, 37087}, {35, 21410}, {36, 21411}, {38, 310}, {39, 14622}, {40, 10444}, {41, 21414}, {42, 1218}, {43, 872}, {44, 16816}, {45, 16815}, {47, 2216}, {48, 336}, {55, 3757}, {56, 17887}, {57, 4032}, {58, 21421}, {66, 21423}, {71, 28287}, {72, 1246}, {77, 664}, {78, 7190}, {81, 2214}, {83, 14619}, {87, 3226}, {88, 21427}, {89, 21428}, {91, 20571}, {99, 261}, {100, 675}, {101, 767}, {105, 20628}, {110, 21430}, {115, 21431}, {141, 334}, {142, 2321}, {144, 391}, {145, 3945}, {149, 2805}, {150, 2893}, {158, 240}, {162, 37220}, {171, 3769}, {172, 4372}, {183, 1376}, {187, 21434}, {193, 4371}, {194, 1107}, {200, 4328}, {210, 18142}, {219, 1944}, {220, 27420}, {222, 1943}, {223, 20238}, {225, 264}, {226, 3687}, {234, 556}, {236, 40893}, {238, 3923}, {242, 24320}, {244, 1978}, {255, 2190}, {256, 3764}, {257, 698}, {267, 6763}, {269, 1222}, {277, 30701}, {279, 1219}, {280, 309}, {281, 27509}, {282, 20239}, {291, 9230}, {292, 20630}, {298, 1081}, {299, 554}, {305, 3914}, {306, 5249}, {308, 40093}, {311, 18815}, {315, 4911}, {317, 5081}, {325, 2886}, {329, 14555}, {330, 7187}, {339, 23674}, {342, 18026}, {354, 3706}, {355, 21277}, {365, 20631}, {366, 20434}, {379, 5279}, {384, 4426}, {385, 4386}, {404, 19850}, {405, 7283}, {480, 28058}, {489, 31550}, {490, 31549}, {491, 1659}, {492, 13390}, {497, 11997}, {511, 15978}, {513, 17159}, {514, 4406}, {516, 3883}, {517, 10446}, {519, 3664}, {522, 3261}, {523, 876}, {524, 4399}, {525, 17899}, {527, 3686}, {537, 668}, {538, 1573}, {545, 4957}, {551, 4717}, {560, 1580}, {573, 29069}, {584, 40744}, {596, 16887}, {597, 17225}, {599, 4445}, {612, 32926}, {614, 32942}, {646, 4859}, {647, 21437}, {649, 20909}, {650, 21438}, {651, 28968}, {656, 17893}, {659, 21439}, {667, 21440}, {669, 21441}, {670, 18827}, {671, 35181}, {672, 20632}, {689, 745}, {693, 4411}, {700, 871}, {712, 3735}, {716, 16829}, {723, 9063}, {728, 1223}, {730, 24293}, {735, 9065}, {748, 32930}, {749, 20456}, {750, 17763}, {751, 23659}, {753, 789}, {756, 18152}, {757, 1468}, {758, 994}, {765, 39293}, {775, 1496}, {798, 20910}, {799, 897}, {811, 1099}, {812, 20908}, {825, 40371}, {826, 18077}, {846, 32934}, {850, 4467}, {873, 40438}, {889, 16495}, {896, 20904}, {899, 32931}, {900, 3766}, {901, 2863}, {905, 23685}, {908, 4054}, {918, 24141}, {927, 2751}, {934, 2370}, {936, 40424}, {940, 1999}, {942, 5295}, {956, 5088}, {958, 1975}, {964, 5262}, {966, 3975}, {969, 17156}, {980, 10472}, {982, 1920}, {990, 13727}, {991, 29016}, {997, 4561}, {1001, 3685}, {1030, 27788}, {1073, 20240}, {1078, 25440}, {1088, 3668}, {1089, 1268}, {1100, 4393}, {1104, 4195}, {1108, 27334}, {1119, 7046}, {1125, 3993}, {1150, 3218}, {1211, 3782}, {1212, 25242}, {1213, 3948}, {1214, 27339}, {1228, 5051}, {1230, 41809}, {1233, 25006}, {1234, 41501}, {1237, 1240}, {1247, 6626}, {1249, 20241}, {1271, 38236}, {1272, 40716}, {1281, 5989}, {1330, 5814}, {1332, 2989}, {1369, 5014}, {1370, 3434}, {1423, 16609}, {1429, 24334}, {1442, 4861}, {1444, 2217}, {1446, 43533}, {1449, 16834}, {1486, 26241}, {1500, 27255}, {1501, 33733}, {1574, 3934}, {1577, 23894}, {1581, 1934}, {1621, 32929}, {1631, 7087}, {1654, 3765}, {1655, 26045}, {1697, 10889}, {1734, 35035}, {1742, 28850}, {1743, 16833}, {1746, 21375}, {1757, 32935}, {1766, 6996}, {1799, 17873}, {1812, 2219}, {1826, 18747}, {1836, 3966}, {1847, 40445}, {1890, 5342}, {1895, 5931}, {1897, 2000}, {1914, 4376}, {1916, 40099}, {1917, 33807}, {1925, 18276}, {1928, 2085}, {1931, 20634}, {1953, 1959}, {1962, 39737}, {1973, 34065}, {1992, 35578}, {2053, 14199}, {2054, 20636}, {2064, 40940}, {2092, 27042}, {2112, 20638}, {2140, 22011}, {2166, 23994}, {2167, 2168}, {2170, 33946}, {2172, 20931}, {2175, 24264}, {2176, 16827}, {2178, 11329}, {2210, 4381}, {2238, 24330}, {2262, 20348}, {2275, 16720}, {2285, 41245}, {2292, 28660}, {2295, 17033}, {2303, 26643}, {2309, 21352}, {2319, 20438}, {2324, 27384}, {2325, 6666}, {2329, 16822}, {2339, 41260}, {2352, 13588}, {2400, 4397}, {2475, 5016}, {2530, 18081}, {2640, 16556}, {2652, 30988}, {2783, 5977}, {2870, 21293}, {2887, 17889}, {2894, 2897}, {2895, 17483}, {2908, 30878}, {2968, 6356}, {2998, 16606}, {3006, 30632}, {3008, 17352}, {3009, 20637}, {3035, 37688}, {3056, 4459}, {3061, 17760}, {3086, 25583}, {3120, 25760}, {3121, 21224}, {3122, 17065}, {3123, 6386}, {3161, 18230}, {3164, 18606}, {3177, 4875}, {3185, 11688}, {3219, 5278}, {3227, 7208}, {3230, 35274}, {3241, 3902}, {3244, 4464}, {3247, 16831}, {3252, 4562}, {3260, 20565}, {3265, 23683}, {3266, 4442}, {3314, 20541}, {3405, 33793}, {3501, 27626}, {3509, 24586}, {3570, 9318}, {3573, 24346}, {3578, 30690}, {3589, 4395}, {3598, 7172}, {3616, 3702}, {3617, 4346}, {3618, 4402}, {3619, 29611}, {3622, 32105}, {3624, 6533}, {3625, 4896}, {3626, 4887}, {3629, 4405}, {3631, 4478}, {3632, 4888}, {3633, 7278}, {3634, 4066}, {3635, 4909}, {3670, 10468}, {3681, 4651}, {3684, 24333}, {3688, 14839}, {3694, 25521}, {3695, 8728}, {3700, 24622}, {3701, 5936}, {3703, 3925}, {3704, 25466}, {3707, 4480}, {3713, 5228}, {3714, 3812}, {3720, 4365}, {3723, 28639}, {3726, 30945}, {3731, 16832}, {3740, 3967}, {3747, 16690}, {3750, 29651}, {3763, 17290}, {3771, 33130}, {3773, 3836}, {3774, 25538}, {3775, 4710}, {3776, 29739}, {3780, 4754}, {3789, 17794}, {3790, 3826}, {3791, 4697}, {3807, 30997}, {3828, 4125}, {3831, 24172}, {3834, 17229}, {3835, 27485}, {3840, 17063}, {3841, 30172}, {3846, 3944}, {3848, 26103}, {3869, 17139}, {3870, 3996}, {3873, 13476}, {3874, 33297}, {3877, 17183}, {3882, 29382}, {3888, 9016}, {3889, 17169}, {3891, 3920}, {3896, 17018}, {3909, 25049}, {3926, 17869}, {3930, 30949}, {3933, 17867}, {3936, 27476}, {3938, 32923}, {3943, 17242}, {3946, 5750}, {3949, 30985}, {3950, 29571}, {3952, 40607}, {3961, 32920}, {3965, 26125}, {3969, 18139}, {3974, 26040}, {3981, 21954}, {3992, 18145}, {4007, 6173}, {4010, 25759}, {4011, 17123}, {4016, 4469}, {4024, 18154}, {4025, 17894}, {4030, 34612}, {4036, 18158}, {4044, 5257}, {4051, 9311}, {4053, 24063}, {4056, 4894}, {4058, 21255}, {4072, 29600}, {4073, 18033}, {4081, 6067}, {4082, 18153}, {4083, 23807}, {4085, 29659}, {4086, 18160}, {4094, 21254}, {4099, 32009}, {4124, 24482}, {4132, 17217}, {4136, 17062}, {4150, 18744}, {4234, 37817}, {4319, 14942}, {4353, 19868}, {4366, 17000}, {4377, 17235}, {4383, 27064}, {4387, 4423}, {4390, 9317}, {4391, 28898}, {4392, 35543}, {4396, 16997}, {4403, 33908}, {4408, 4926}, {4410, 4690}, {4412, 7122}, {4413, 5205}, {4414, 32845}, {4415, 5743}, {4422, 17337}, {4425, 33154}, {4432, 15485}, {4436, 8053}, {4438, 33138}, {4470, 26626}, {4471, 7246}, {4472, 17045}, {4475, 18168}, {4484, 7241}, {4488, 6172}, {4494, 17304}, {4495, 36480}, {4497, 7236}, {4500, 29808}, {4505, 25351}, {4511, 7269}, {4513, 25878}, {4515, 6706}, {4517, 20694}, {4519, 30947}, {4552, 17077}, {4553, 25279}, {4554, 5231}, {4555, 35175}, {4563, 23673}, {4568, 17761}, {4569, 18025}, {4572, 20567}, {4586, 43099}, {4592, 17881}, {4595, 21232}, {4597, 36818}, {4599, 37221}, {4641, 37652}, {4648, 17314}, {4649, 4716}, {4655, 32857}, {4660, 24715}, {4661, 25286}, {4668, 4902}, {4672, 4974}, {4675, 4851}, {4678, 25278}, {4679, 17777}, {4680, 7272}, {4683, 33098}, {4684, 5542}, {4693, 16484}, {4702, 42819}, {4703, 33099}, {4708, 28633}, {4712, 18031}, {4713, 37673}, {4723, 36588}, {4742, 38314}, {4748, 28635}, {4760, 10987}, {4766, 27477}, {4795, 40891}, {4797, 21793}, {4798, 29586}, {4854, 25597}, {4865, 32866}, {4869, 29616}, {4873, 20195}, {4882, 7274}, {4886, 5739}, {4889, 28329}, {4897, 23835}, {4898, 29602}, {4899, 24393}, {4901, 38200}, {4915, 7271}, {4941, 20340}, {4966, 25557}, {4970, 17592}, {4971, 17388}, {4972, 8024}, {4975, 25055}, {4981, 7226}, {4996, 7279}, {5082, 17170}, {5086, 21270}, {5176, 21286}, {5178, 21285}, {5211, 17721}, {5254, 26558}, {5267, 7782}, {5277, 30167}, {5283, 16819}, {5287, 34064}, {5294, 26723}, {5296, 28809}, {5301, 24335}, {5311, 32928}, {5341, 24587}, {5372, 23958}, {5437, 30567}, {5515, 37842}, {5540, 33951}, {5550, 25585}, {5620, 21207}, {5698, 24280}, {5736, 34772}, {5737, 38000}, {5738, 12649}, {5741, 31053}, {5744, 27472}, {5774, 36279}, {5791, 25446}, {5827, 9654}, {5902, 10452}, {6007, 17049}, {6147, 41014}, {6180, 40862}, {6210, 29057}, {6327, 20292}, {6335, 7101}, {6337, 30478}, {6360, 18607}, {6375, 6377}, {6379, 22184}, {6390, 23679}, {6535, 25961}, {6539, 40013}, {6547, 36230}, {6682, 17591}, {6703, 29841}, {6707, 29612}, {7009, 37581}, {7013, 37278}, {7017, 15466}, {7032, 18170}, {7034, 10010}, {7035, 9458}, {7146, 30097}, {7155, 24451}, {7176, 12513}, {7191, 24552}, {7193, 24332}, {7196, 24477}, {7200, 9263}, {7209, 7233}, {7225, 18048}, {7243, 18043}, {7244, 17598}, {7308, 30568}, {7318, 10527}, {7336, 24250}, {7377, 12610}, {7752, 25639}, {7758, 31416}, {7760, 30133}, {7763, 26363}, {7764, 31488}, {7781, 31456}, {7991, 10442}, {8033, 13610}, {8055, 41926}, {8056, 32017}, {8058, 30805}, {8061, 18070}, {8632, 24354}, {8769, 17890}, {8773, 17876}, {9466, 27076}, {9508, 14296}, {9776, 18141}, {9965, 14552}, {10025, 37658}, {10176, 33948}, {10327, 41916}, {10400, 16091}, {10448, 40430}, {10538, 20477}, {10589, 30740}, {10980, 35613}, {11104, 19849}, {11108, 19852}, {11680, 33864}, {12530, 20556}, {12618, 36652}, {14018, 41013}, {14548, 36845}, {14624, 39957}, {14923, 21271}, {14997, 41241}, {15149, 18721}, {15523, 18052}, {15668, 16777}, {16496, 24841}, {16504, 36236}, {16525, 17475}, {16547, 20602}, {16548, 16566}, {16549, 29433}, {16551, 40476}, {16552, 20605}, {16560, 24591}, {16569, 25106}, {16574, 20367}, {16583, 27299}, {16600, 30107}, {16604, 20363}, {16605, 25994}, {16608, 37796}, {16666, 37677}, {16672, 29578}, {16678, 23339}, {16696, 16738}, {16707, 17150}, {16710, 16726}, {16711, 16714}, {16713, 16728}, {16722, 36857}, {16727, 17154}, {16729, 30564}, {16737, 17166}, {16741, 17162}, {16747, 18656}, {16750, 17884}, {16751, 31296}, {16814, 25269}, {16876, 18610}, {16884, 29584}, {16886, 33841}, {16888, 36482}, {16892, 18071}, {16969, 25129}, {16973, 32029}, {16974, 17688}, {17011, 19684}, {17017, 32772}, {17026, 17754}, {17027, 24512}, {17028, 20331}, {17034, 17750}, {17038, 27798}, {17050, 29960}, {17053, 26979}, {17061, 29634}, {17064, 30761}, {17067, 29596}, {17073, 28755}, {17084, 30543}, {17122, 29649}, {17133, 29574}, {17136, 17221}, {17138, 17153}, {17171, 18720}, {17181, 24390}, {17184, 32782}, {17197, 18177}, {17205, 39697}, {17206, 23555}, {17251, 17252}, {17265, 17266}, {17309, 17310}, {17323, 17324}, {17372, 17373}, {17442, 18717}, {17443, 30052}, {17449, 31136}, {17451, 30036}, {17458, 21191}, {17484, 37656}, {17486, 23632}, {17489, 26035}, {17595, 24627}, {17596, 32916}, {17600, 29644}, {17671, 21073}, {17682, 17742}, {17717, 25385}, {17733, 37607}, {17736, 29473}, {17741, 17743}, {17751, 20247}, {17758, 40006}, {17793, 25120}, {17797, 17798}, {17888, 29857}, {17896, 35518}, {17903, 40015}, {18022, 22069}, {18054, 21026}, {18055, 20706}, {18066, 31079}, {18067, 28595}, {18073, 29591}, {18080, 21123}, {18136, 28654}, {18162, 20769}, {18206, 29767}, {18207, 23669}, {18208, 20274}, {18297, 20527}, {18359, 30608}, {18601, 27163}, {18661, 26734}, {18739, 30713}, {18745, 21094}, {18811, 25719}, {18821, 35171}, {18826, 36873}, {18834, 34054}, {18835, 24211}, {19582, 25917}, {19701, 20182}, {19857, 37039}, {19863, 25599}, {19974, 39786}, {19975, 19976}, {20016, 20090}, {20045, 39743}, {20072, 31300}, {20081, 41838}, {20133, 20164}, {20134, 20175}, {20138, 27949}, {20139, 20167}, {20146, 20168}, {20147, 20180}, {20151, 20178}, {20161, 20166}, {20176, 20177}, {20254, 20256}, {20255, 20271}, {20259, 20260}, {20262, 40880}, {20267, 30103}, {20276, 20545}, {20332, 20639}, {20335, 21101}, {20337, 34528}, {20351, 20538}, {20352, 21278}, {20358, 24351}, {20535, 30082}, {20598, 24458}, {20992, 32117}, {21008, 27954}, {21021, 21897}, {21033, 30961}, {21071, 29968}, {21085, 33064}, {21178, 21186}, {21180, 21205}, {21196, 25667}, {21208, 27808}, {21210, 24207}, {21212, 29427}, {21216, 41015}, {21226, 40908}, {21231, 22370}, {21240, 24190}, {21242, 29676}, {21244, 38406}, {21299, 24717}, {21345, 23488}, {21351, 22226}, {21362, 29698}, {21368, 24595}, {21454, 37655}, {21511, 38871}, {21769, 28365}, {21801, 29965}, {21805, 31161}, {21808, 29966}, {21816, 25661}, {21834, 42327}, {21868, 25102}, {21871, 41828}, {21872, 30011}, {21956, 26590}, {22047, 24050}, {22218, 26974}, {22279, 22289}, {22413, 23440}, {23478, 23498}, {23481, 23502}, {23482, 23483}, {23484, 23500}, {23485, 23493}, {23486, 23495}, {23518, 28706}, {23556, 34254}, {23557, 37804}, {23664, 40050}, {23681, 25527}, {23682, 24445}, {23690, 24248}, {23897, 27966}, {23903, 27706}, {23978, 25000}, {24003, 36863}, {24005, 25023}, {24046, 24166}, {24058, 24224}, {24162, 24178}, {24169, 33174}, {24180, 39714}, {24183, 24184}, {24188, 24233}, {24202, 30144}, {24204, 33833}, {24214, 31327}, {24241, 29655}, {24254, 40859}, {24319, 27691}, {24324, 27950}, {24338, 24517}, {24343, 39914}, {24378, 24439}, {24386, 32023}, {24411, 36278}, {24430, 40717}, {24450, 39717}, {24487, 25382}, {24505, 36225}, {24510, 39362}, {24599, 37681}, {24621, 37596}, {24663, 26106}, {24693, 32847}, {24725, 32843}, {24779, 24781}, {24880, 25471}, {24892, 33119}, {24922, 25469}, {24943, 33123}, {24957, 25687}, {24986, 25005}, {24988, 26235}, {24995, 36568}, {24999, 26541}, {25002, 25964}, {25019, 26001}, {25072, 31211}, {25082, 27109}, {25083, 25252}, {25122, 33789}, {25130, 32095}, {25237, 26770}, {25244, 26690}, {25271, 26049}, {25296, 33800}, {25345, 31090}, {25453, 32780}, {25496, 29821}, {25512, 27785}, {25525, 41878}, {25591, 27627}, {25741, 25758}, {26034, 33068}, {26061, 29850}, {26098, 33071}, {26100, 27026}, {26128, 32783}, {26223, 32911}, {26229, 26263}, {26265, 38869}, {26364, 32832}, {26580, 33151}, {26627, 37633}, {26685, 37650}, {26688, 37687}, {26738, 31030}, {26772, 26976}, {26819, 35058}, {26840, 37653}, {26842, 32863}, {26963, 27809}, {26978, 28598}, {27017, 27107}, {27035, 27285}, {27044, 27095}, {27164, 40773}, {27340, 40133}, {27482, 31344}, {27493, 30566}, {27508, 28827}, {27549, 38057}, {27757, 30834}, {27793, 31037}, {27797, 39994}, {28301, 41848}, {28470, 30183}, {28640, 29592}, {28739, 37800}, {28780, 37771}, {28965, 40863}, {29036, 41430}, {29379, 29511}, {29381, 29405}, {29456, 29559}, {29561, 34017}, {29585, 31342}, {29609, 31319}, {29613, 34573}, {29629, 40480}, {29631, 33128}, {29632, 33156}, {29635, 33135}, {29642, 33158}, {29643, 32848}, {29653, 33092}, {29671, 32855}, {29673, 32865}, {29679, 39998}, {29709, 29711}, {29840, 30660}, {29846, 33127}, {29849, 33105}, {29967, 34830}, {29979, 29985}, {30092, 37598}, {30099, 39244}, {30603, 40603}, {30964, 30970}, {31145, 32093}, {31270, 40780}, {31350, 31351}, {31418, 32816}, {31449, 31859}, {31625, 40095}, {31627, 34019}, {32019, 42326}, {32020, 40533}, {32033, 40881}, {32101, 39710}, {32775, 33143}, {32776, 33145}, {32781, 33125}, {32842, 33070}, {32844, 33104}, {32852, 32949}, {32854, 33072}, {32856, 33065}, {32861, 32946}, {32864, 32912}, {32947, 33094}, {32948, 33074}, {32950, 33083}, {33067, 33080}, {33069, 33081}, {33073, 33088}, {33091, 39723}, {33114, 33139}, {33115, 33161}, {33117, 33162}, {33118, 33163}, {33120, 33136}, {33121, 33137}, {33122, 33148}, {33124, 33171}, {33126, 33144}, {33676, 35026}, {33678, 33679}, {33776, 38831}, {33947, 34860}, {34018, 39959}, {34021, 34022}, {34261, 41251}, {35119, 36232}, {35157, 35164}, {35527, 40362}, {35616, 39773}, {36625, 38254}, {36805, 39963}, {37520, 37684}, {37680, 41242}, {38247, 39740}, {39570, 40333}, {39693, 39748}, {39698, 39706}, {39722, 39724}, {39729, 39730}, {39736, 39738}, {39742, 42055}, {39775, 42079}, {40024, 40094}, {41236, 41247}, {41777, 43040}, {42015, 42311}

X(75) = midpoint of X(i) and X(j) for these {i,j}: {2, 4740}, {8, 24349}, {31, 37003}, {37, 4686}, {192, 1278}, {3644, 4764}, {3739, 4726}, {4399, 7228}, {4440, 33888}, {4699, 4821}, {17362, 17365}, {17363, 17364}, {18830, 40844}

X(75) = reflection of X(i) in X(j) for these {i,j}: {1, 24325}, {2, 4688}, {8, 3696}, {20, 30271}, {31, 18805}, {37, 3739}, {76, 21443}, {190, 17755}, {192, 37}, {335, 1086}, {693, 4411}, {984, 10}, {1278, 4686}, {2667, 25124}, {3261, 20907}, {3644, 192}, {3739, 4739}, {3758, 31317}, {3879, 3664}, {3993, 1125}, {4043, 20891}, {4094, 21254}, {4416, 3686}, {4664, 2}, {4681, 4698}, {4686, 4726}, {4687, 4699}, {4704, 31238}, {4718, 4681}, {4751, 4772}, {4764, 1278}, {4788, 4718}, {6376, 10009}, {7199, 4374}, {17333, 17330}, {17334, 17332}, {17347, 4416}, {17362, 4399}, {17363, 17362}, {17364, 17365}, {17365, 7228}, {17377, 3879}, {17388, 17390}, {17389, 17392}, {17458, 21191}, {18080, 21123}, {18137, 20892}, {20430, 5}, {20448, 20435}, {20924, 20893}, {20949, 20906}, {20950, 20908}, {20954, 3261}, {20956, 20912}, {21143, 21211}, {21606, 21433}, {21746, 17049}, {21834, 42327}, {23794, 4408}, {24505, 36225}, {30273, 3}, {32453, 39}, {35959, 40878}, {36494, 27478}, {37842, 5515}, {39467, 6374}, {41683, 244}, {42083, 24003}

X(75) = isogonal conjugate of X(31)

X(75) = isotomic conjugate of X(1)

X(75) = complement of X(192)

X(75) = anticomplement of X(37)

X(75) = anticomplementary conjugate of X(2895)

X(75) = complementary conjugate of X(21250)

X(75) = antigonal conjugate of X(37842)

X(75) = antitomic image of X(335)

X(75) = cyclocevian conjugate of X(8044)

X(75) = trilinear pole of line X(514)X(661)

X(75) = crossdifference of every pair of points on line {667, 788}

X(75) = medial-isogonal conjugate of X(21250)

X(75) = anticomplementary-isogonal conjugate of X(2895)

X(75) = X(i)-Hirst inverse of X(j) for these (i,j): (2,350), (334,335)

X(75) = X(83)-aleph conjugate of X(31)

X(75) = X(i)-beth conjugate of X(j) for these (i,j): (8,984), (75,7), (99,77), (314,75), (522,876), (645,9), (646,75), (668,75), (811,342)

X(75) = X(37)-of-anticomplementary triangle.

X(75) = trilinear product of PU(i) for these i: 3, 35

X(75) = barycentric product of PU(10)

X(75) = trilinear product of PU(75)

X(75) = X(6752)-of-excentral-triangle

X(75) = trilinear pole of line X(514)X(661)

X(75) = pole wrt polar circle of trilinear polar of X(19) (line X(661)X(663))

X(75) = X(48)-isoconjugate (polar conjugate) of X(19)

X(75) = X(6)-isoconjugate of X(6)

X(75) = crosspoint of X(1) and X(63) with respect to the excentral triangle

X(75) = crosspoint of X(1) and X(63) with respect to the anticomplementary triangle

X(75) = trilinear square of X(2)

X(75) = trilinear square root of X(561)

X(75) = trilinear product of the four CPCC points; https://bernard-gibert.pagesperso-orange.fr/Tables/table11.html

X(75) = perspector of ABC and extraversion triangle of X(75) (which is also the anticevian triangle of X(75))

X(75) = perspector of ABC and cross-triangle of Gemini triangles 3 and 6

X(75) = perspector of Gemini triangle 13 and cross-triangle of ABC and Gemini triangle 13

X(75) = perspector of ABC and cross-triangle of ABC and Gemini triangle 21

X(75) = perspector of ABC and cross-triangle of ABC and Gemini triangle 22

X(75) = perspector of ABC and cross-triangle of Gemini triangles 21 and 22

X(75) = barycentric product of vertices of Gemini triangle 21

X(75) = barycentric product of vertices of Gemini triangle 22

X(75) = X(i)-anticomplementary conjugate of X(j) for these (i,j): {1, 2895}, {2, 1330}, {3, 3151}, {6, 1654}, {7, 2893}, {21, 329}, {27, 4}, {28, 5905}, {31, 1655}, {48, 18666}, {56, 17778}, {57, 2475}, {58, 2}, {59, 3882}, {60, 63}, {75, 21287}, {77, 2897}, {81, 8}, {82, 3770}, {86, 69}, {99, 20295}, {101, 31290}, {110, 514}, {112, 25259}, {162, 4391}, {163, 17494}, {222, 3152}, {249, 4427}, {250, 14543}, {251, 17499}, {261, 20245}, {267, 1029}, {270, 92}, {274, 6327}, {284, 144}, {285, 189}, {286, 21270}, {310, 315}, {314, 21286}, {333, 3436}, {513, 21221}, {514, 3448}, {552, 20244}, {593, 1}, {603, 18667}, {643, 4462}, {648, 20293}, {649, 148}, {662, 513}, {667, 21220}, {670, 21304}, {693, 21294}, {741, 6542}, {757, 75}, {759, 17484}, {763, 17140}, {799, 21301}, {849, 17147}, {873, 17137}, {967, 26051}, {1014, 7}, {1019, 149}, {1098, 18750}, {1169, 894}, {1171, 10}, {1172, 5942}, {1175, 3219}, {1178, 6646}, {1333, 192}, {1396, 12649}, {1408, 3210}, {1412, 145}, {1414, 693}, {1434, 3434}, {1437, 6360}, {1444, 4329}, {1459, 39352}, {1474, 193}, {1509, 17135}, {1576, 21225}, {1790, 20}, {1798, 3101}, {1817, 6223}, {1914, 39367}, {1919, 25054}, {1929, 20349}, {2163, 37635}, {2185, 3869}, {2194, 3177}, {2203, 21216}, {2206, 194}, {2221, 26117}, {2248, 6625}, {2299, 30694}, {2328, 30695}, {2360, 20211}, {2363, 321}, {3285, 17487}, {3286, 20533}, {3733, 4440}, {3737, 37781}, {4025, 13219}, {4091, 34186}, {4184, 17732}, {4273, 17488}, {4556, 523}, {4558, 20294}, {4560, 33650}, {4564, 3909}, {4565, 522}, {4567, 3952}, {4570, 190}, {4573, 21302}, {4589, 21303}, {4591, 900}, {4600, 668}, {4610, 512}, {4620, 3888}, {4622, 21297}, {4623, 17217}, {4627, 4778}, {4629, 4977}, {4637, 3900}, {5009, 33888}, {5235, 21291}, {5331, 5739}, {5546, 4468}, {6385, 21275}, {6578, 4608}, {6628, 17143}, {6629, 14360}, {6650, 20558}, {6727, 16017}, {7192, 150}, {7199, 21293}, {7252, 39351}, {7303, 17152}, {7341, 3875}, {8025, 2891}, {8747, 6515}, {10566, 25051}, {13486, 1577}, {14534, 17751}, {14616, 21277}, {14953, 152}, {15376, 20017}, {16696, 21289}, {16704, 21290}, {16887, 1369}, {16948, 8055}, {17103, 30660}, {17167, 2888}, {17168, 2889}, {17169, 2890}, {17172, 2892}, {17187, 2896}, {17200, 40002}, {17206, 1370}, {17209, 147}, {17940, 2786}, {17962, 20536}, {18206, 20344}, {18268, 17759}, {18653, 146}, {18792, 20355}, {18827, 20553}, {21123, 39346}, {24624, 5080}, {30940, 20554}, {30941, 20552}, {32014, 20290}, {33295, 20345}, {33774, 24051}, {34079, 20072}, {36085, 30709}, {37128, 4645}, {38813, 17350}, {38832, 21219}, {39179, 25048}, {39949, 32863}, {39950, 33110}, {40142, 20077}, {40143, 14450}, {40153, 5484}, {40214, 3648}, {40398, 33091}, {40403, 10327}, {40408, 4651}, {40430, 33066}, {40432, 4388}, {40438, 319}, {40746, 40721}, {41629, 42020}, {42302, 2550}, {43076, 26824}, {43359, 4813}

X(75) = X(i)-complementary conjugate of X(j) for these (i,j): {1, 21250}, {6, 34832}, {7, 20547}, {31, 6376}, {56, 20528}, {57, 20338}, {87, 141}, {330, 2887}, {604, 41886}, {649, 5518}, {932, 3835}, {1919, 40610}, {2053, 3452}, {2162, 10}, {2319, 1329}, {4598, 21260}, {6383, 21235}, {6384, 626}, {7121, 2}, {7153, 2886}, {7155, 21244}, {7209, 17047}, {15373, 3}, {16606, 3454}, {18830, 21262}, {21759, 1213}, {22381, 440}, {23086, 18589}, {23493, 1211}, {34071, 513}, {34252, 20333}, {39914, 20542}, {40881, 20551}, {42027, 21245}

X(75) = X(i)-Ceva conjugate of X(j) for these (i,j): {1, 17149}, {2, 6376}, {8, 20935}, {31, 33788}, {69, 18749}, {76, 312}, {81, 18148}, {82, 18058}, {83, 18057}, {85, 18743}, {86, 18133}, {92, 18156}, {99, 18155}, {158, 33787}, {190, 20954}, {192, 39467}, {256, 24732}, {264, 20930}, {274, 2}, {286, 18147}, {291, 19567}, {304, 18750}, {305, 20914}, {308, 18040}, {310, 76}, {312, 16284}, {313, 20932}, {314, 69}, {321, 17762}, {330, 6384}, {333, 18738}, {334, 20947}, {348, 18751}, {514, 18149}, {561, 304}, {668, 693}, {670, 7199}, {689, 18077}, {693, 18159}, {799, 1577}, {811, 14208}, {850, 20951}, {870, 30963}, {871, 21615}, {873, 18140}, {903, 39995}, {1088, 33780}, {1218, 4687}, {1221, 37}, {1240, 313}, {1434, 18739}, {1502, 20444}, {1509, 18136}, {1577, 20939}, {1821, 1966}, {1928, 20641}, {1930, 20934}, {1967, 18271}, {1969, 92}, {1978, 514}, {2481, 350}, {3112, 1}, {3223, 18832}, {3261, 18151}, {3264, 20937}, {3596, 322}, {3718, 33672}, {4554, 4391}, {4569, 15413}, {4572, 3261}, {4583, 3766}, {4602, 661}, {4620, 18740}, {4623, 18158}, {4625, 18160}, {6063, 85}, {6382, 20936}, {6383, 20923}, {6384, 20943}, {6385, 18137}, {6386, 20949}, {6650, 24731}, {7018, 20955}, {7033, 24524}, {7035, 668}, {7182, 40702}, {7199, 18150}, {7260, 25667}, {8024, 20933}, {14616, 30939}, {17143, 17135}, {17206, 18736}, {18021, 21581}, {18022, 20926}, {18023, 20956}, {18031, 3912}, {18070, 18060}, {18145, 39997}, {18152, 40006}, {18811, 39126}, {18816, 320}, {18830, 513}, {18832, 20945}, {18833, 561}, {18891, 20446}, {18895, 17789}, {20566, 17791}, {20567, 20927}, {20568, 4358}, {20569, 30829}, {20641, 20931}, {20948, 20941}, {23999, 811}, {24037, 799}, {27801, 20929}, {28659, 20928}, {28660, 4417}, {30710, 1909}, {30939, 39996}, {31002, 6381}, {31618, 344}, {31625, 4033}, {32018, 321}, {33805, 14206}, {34384, 21579}, {34537, 21604}, {36796, 33677}, {36863, 29226}, {37204, 18070}, {37220, 16568}, {38810, 6}, {38840, 33801}, {38847, 31}, {40014, 20942}, {40015, 38298}, {40016, 18050}, {40017, 3948}, {40023, 42034}, {40024, 3661}, {40072, 21596}, {40073, 21597}, {40087, 40034}, {40162, 21608}, {40216, 33943}, {40362, 21585}, {40363, 21594}, {40364, 21582}, {40421, 21583}, {40422, 319}, {40495, 20940}, {40827, 27792}, {41283, 20922}

X(75) = X(i)-cross conjugate of X(j) for these (i,j): {1, 92}, {2, 85}, {4, 40015}, {7, 309}, {8, 312}, {10, 2}, {19, 39733}, {37, 39735}, {38, 1}, {63, 304}, {69, 20570}, {76, 6384}, {82, 39727}, {83, 40037}, {192, 40025}, {239, 40845}, {244, 514}, {306, 40011}, {307, 69}, {310, 18298}, {312, 40014}, {313, 40010}, {318, 34404}, {320, 40716}, {321, 76}, {347, 322}, {350, 18032}, {514, 1978}, {519, 18359}, {522, 190}, {523, 4033}, {561, 18832}, {596, 35058}, {656, 662}, {661, 4602}, {693, 668}, {714, 41683}, {726, 335}, {756, 17758}, {774, 2184}, {982, 9311}, {984, 27475}, {1086, 7199}, {1089, 40013}, {1099, 14206}, {1109, 1577}, {1111, 693}, {1125, 30690}, {1210, 189}, {1227, 30939}, {1266, 903}, {1281, 17789}, {1441, 264}, {1577, 799}, {1631, 20444}, {1725, 2349}, {1733, 1821}, {1734, 100}, {1735, 36100}, {1736, 36101}, {1737, 34234}, {1738, 673}, {1739, 88}, {1769, 3257}, {1895, 18750}, {1930, 561}, {2085, 31}, {2172, 20641}, {2227, 1581}, {2254, 4562}, {2292, 226}, {2517, 37218}, {2588, 2580}, {2589, 2581}, {2643, 18070}, {2786, 4639}, {3112, 18834}, {3116, 2186}, {3123, 513}, {3262, 20566}, {3263, 334}, {3264, 40039}, {3578, 33939}, {3663, 7}, {3668, 253}, {3670, 81}, {3673, 1088}, {3687, 28660}, {3701, 40012}, {3705, 27424}, {3717, 36807}, {3728, 37}, {3739, 40004}, {3741, 257}, {3766, 4583}, {3778, 6}, {3821, 14621}, {3912, 18031}, {3914, 4}, {3948, 40017}, {3963, 308}, {3992, 39994}, {4025, 664}, {4041, 27805}, {4044, 40030}, {4086, 15455}, {4125, 40021}, {4151, 3952}, {4357, 86}, {4358, 20568}, {4359, 274}, {4374, 670}, {4389, 39704}, {4391, 4554}, {4397, 6335}, {4398, 39707}, {4425, 6625}, {4441, 40028}, {4442, 671}, {4443, 751}, {4446, 749}, {4453, 4555}, {4458, 35148}, {4467, 99}, {4642, 2051}, {4647, 321}, {4671, 40029}, {4695, 14554}, {4696, 32017}, {4712, 3912}, {4723, 36805}, {4736, 3936}, {4738, 4358}, {4768, 36804}, {4793, 4671}, {4847, 8}, {4858, 3261}, {4967, 1268}, {4968, 30710}, {4972, 83}, {4980, 32018}, {4981, 32009}, {4986, 7035}, {5051, 14534}, {5224, 30598}, {6376, 40027}, {6381, 31002}, {6382, 6376}, {6734, 333}, {6735, 4997}, {6736, 6557}, {9436, 18025}, {10916, 2994}, {11019, 10405}, {14206, 33805}, {14208, 811}, {14213, 1969}, {14837, 658}, {17072, 4598}, {17155, 34860}, {17205, 4608}, {17289, 40044}, {17446, 82}, {17755, 18157}, {17758, 40008}, {17797, 17788}, {17859, 40440}, {17860, 318}, {17861, 273}, {17862, 331}, {17863, 286}, {17864, 18022}, {17869, 2052}, {17871, 158}, {17872, 19}, {17873, 1235}, {17874, 41013}, {17875, 40703}, {17876, 24006}, {17879, 14208}, {17880, 35519}, {17883, 23999}, {17886, 850}, {17888, 17924}, {17896, 18026}, {17898, 823}, {17899, 6331}, {17903, 20914}, {18695, 20571}, {18697, 313}, {18698, 1441}, {18743, 40026}, {18827, 39718}, {18837, 17149}, {19962, 19975}, {20234, 1502}, {20235, 305}, {20236, 20567}, {20237, 28659}, {20322, 1895}, {20432, 18895}, {20433, 18891}, {20443, 35538}, {20517, 43190}, {20627, 1928}, {20880, 6063}, {20888, 310}, {20889, 18833}, {20890, 41283}, {20891, 6385}, {20892, 6383}, {20895, 3596}, {20896, 27801}, {20898, 1930}, {20899, 6382}, {20900, 3264}, {20901, 40495}, {20902, 20948}, {20903, 24037}, {20906, 6386}, {20907, 4572}, {20911, 7018}, {20912, 18023}, {21020, 10}, {21120, 21580}, {21147, 20928}, {21174, 36118}, {21184, 1305}, {21185, 37206}, {21186, 653}, {21189, 651}, {21192, 4610}, {21196, 7260}, {21208, 7192}, {21210, 10566}, {21403, 34384}, {21405, 18021}, {21406, 40364}, {21407, 40421}, {21409, 40362}, {21412, 40016}, {21420, 40363}, {21422, 40072}, {21423, 40073}, {21425, 8024}, {21431, 34537}, {21435, 40162}, {21443, 871}, {21935, 13478}, {22069, 3}, {22130, 20926}, {22271, 18137}, {22464, 34393}, {23518, 275}, {23528, 7017}, {23529, 281}, {23536, 278}, {23537, 27}, {23661, 31623}, {23662, 17907}, {23663, 393}, {23664, 25}, {23665, 20883}, {23666, 427}, {23667, 33}, {23668, 1826}, {23670, 38462}, {23672, 2501}, {23673, 14618}, {23674, 18020}, {23676, 7649}, {23681, 1847}, {23683, 6528}, {23686, 6591}, {23687, 1783}, {23928, 8818}, {23996, 1959}, {24010, 3239}, {24014, 30807}, {24026, 4391}, {24028, 908}, {24031, 6332}, {24038, 14210}, {24165, 330}, {24169, 39724}, {24174, 42304}, {24175, 27818}, {24176, 39747}, {24177, 279}, {24209, 18815}, {24211, 7224}, {24213, 1440}, {24443, 57}, {24462, 660}, {24589, 20569}, {24982, 40420}, {24993, 31643}, {24995, 40415}, {25001, 31618}, {25006, 32008}, {25015, 40414}, {25019, 30705}, {26013, 1952}, {26015, 1121}, {26234, 870}, {26563, 32023}, {27474, 21615}, {27966, 8033}, {28605, 40023}, {29062, 835}, {29673, 17743}, {31330, 31359}, {31627, 16284}, {33136, 80}, {33145, 79}, {33890, 30545}, {33940, 40038}, {33941, 40033}, {34387, 18155}, {36035, 32680}, {36038, 35174}, {36250, 1029}, {38407, 30022}, {38822, 21595}, {38995, 4481}, {39697, 39699}, {39994, 40041}, {40216, 40005}, {40973, 36907}, {40999, 95}, {41804, 1494}, {41809, 32014}, {42027, 2998}, {42285, 39705} X(i)-isoconjugate of X(j) for these (i,j): {1, 31}, {2, 32}, {3, 25}, {4, 184}, {7, 2175}, {8, 1397}, {9, 604}, {10, 2206}, {13, 34394}, {14, 34395}, {15, 3457}, {16, 3458}, {19, 48}, {20, 33581}, {21, 1402}, {22, 2353}, {23, 3455}, {24, 2351}, {27, 2200}, {28, 228}, {30, 40352}, {33, 603}, {34, 212}, {35, 6186}, {36, 6187}, {37, 1333}, {39, 251}, {40, 2208}, {41, 57}, {42, 58}, {43, 7121}, {44, 9456}, {45, 28607}, {50, 1989}, {51, 54}, {52, 41271}, {53, 14533}, {55, 56}, {59, 3271}, {60, 181}, {61, 21461}, {62, 21462}, {63, 1973}, {64, 154}, {65, 2194}, {66, 206}, {67, 18374}, {69, 1974}, {71, 1474}, {72, 2203}, {73, 2299}, {74, 1495}, {75, 560}, {76, 1501}, {77, 2212}, {78, 1395}, {81, 213}, {82, 1964}, {83, 3051}, {84, 2187}, {85, 9447}, {86, 1918}, {87, 2209}, {88, 2251}, {92, 9247}, {94, 19627}, {95, 40981}, {97, 3199}, {98, 237}, {99, 669}, {100, 667}, {101, 649}, {105, 2223}, {106, 902}, {107, 39201}, {108, 1946}, {109, 663}, {110, 512}, {111, 187}, {112, 647}, {115, 23357}, {155, 39109}, {157, 1485}, {159, 34207}, {160, 2980}, {161, 34438}, {162, 810}, {163, 661}, {171, 904}, {172, 893}, {182, 263}, {190, 1919}, {197, 3435}, {198, 1436}, {199, 3437}, {200, 1106}, {204, 19614}, {205, 42467}, {208, 2188}, {210, 1408}, {216, 8882}, {217, 275}, {219, 608}, {220, 1407}, {221, 2192}, {222, 607}, {223, 7118}, {230, 32654}, {232, 248}, {238, 1911}, {239, 1922}, {244, 1110}, {249, 3124}, {250, 20975}, {255, 1096}, {256, 7122}, {262, 34396}, {264, 14575}, {265, 34397}, {268, 3209}, {269, 1253}, {274, 2205}, {279, 14827}, {282, 2199}, {284, 1400}, {287, 2211}, {290, 9418}, {291, 2210}, {292, 1914}, {297, 14600}, {308, 41331}, {311, 14573}, {315, 40146}, {323, 11060}, {325, 14601}, {334, 18892}, {335, 14599}, {338, 23963}, {350, 14598}, {351, 691}, {365, 18753}, {371, 8577}, {372, 8576}, {385, 9468}, {393, 577}, {394, 2207}, {418, 8884}, {419, 17970}, {427, 10547}, {460, 42065}, {468, 14908}, {476, 14270}, {480, 7023}, {493, 6423}, {494, 6424}, {511, 1976}, {513, 692}, {514, 32739}, {517, 34858}, {520, 32713}, {523, 1576}, {524, 32740}, {526, 14560}, {561, 1917}, {571, 2165}, {574, 1383}, {588, 5062}, {589, 5058}, {593, 1500}, {595, 40148}, {610, 2155}, {612, 1472}, {614, 7084}, {648, 3049}, {650, 1415}, {651, 3063}, {652, 32674}, {654, 32675}, {656, 32676}, {657, 1461}, {659, 34067}, {662, 798}, {665, 919}, {668, 1980}, {670, 9426}, {671, 14567}, {672, 1438}, {673, 9454}, {675, 8618}, {676, 32642}, {682, 40413}, {684, 32696}, {685, 39469}, {686, 32708}, {688, 4577}, {689, 9494}, {690, 32729}, {694, 1691}, {695, 1915}, {697, 8619}, {699, 3229}, {713, 8620}, {717, 8621}, {727, 3009}, {728, 7366}, {729, 3231}, {731, 8622}, {733, 8623}, {738, 6602}, {739, 3230}, {741, 3747}, {743, 8624}, {745, 8625}, {753, 8626}, {755, 8627}, {756, 849}, {757, 872}, {759, 3724}, {761, 8628}, {765, 3248}, {767, 8629}, {785, 2978}, {788, 1492}, {789, 8630}, {799, 1924}, {800, 41890}, {803, 8631}, {804, 17938}, {805, 5027}, {813, 8632}, {815, 8633}, {817, 8634}, {822, 24019}, {825, 3250}, {826, 4630}, {827, 3005}, {831, 8635}, {833, 8636}, {835, 8637}, {842, 5191}, {843, 2502}, {846, 18757}, {850, 14574}, {869, 985}, {870, 18900}, {875, 3573}, {878, 4230}, {881, 17941}, {884, 2283}, {887, 9150}, {888, 32717}, {890, 898}, {891, 32718}, {894, 7104}, {896, 923}, {897, 922}, {900, 32719}, {901, 1960}, {903, 9459}, {906, 6591}, {907, 3804}, {909, 2183}, {910, 911}, {913, 2252}, {924, 32734}, {925, 34952}, {926, 32735}, {927, 8638}, {931, 8639}, {932, 8640}, {933, 15451}, {934, 8641}, {935, 42659}, {941, 5019}, {943, 40956}, {961, 20967}, {963, 20991}, {967, 2271}, {983, 7032}, {999, 34446}, {1015, 1252}, {1016, 1977}, {1017, 2226}, {1030, 3444}, {1033, 28783}, {1035, 7037}, {1036, 1460}, {1037, 7083}, {1042, 2328}, {1055, 2291}, {1073, 3172}, {1084, 4590}, {1086, 23990}, {1092, 6524}, {1093, 23606}, {1100, 28615}, {1101, 2643}, {1109, 23995}, {1113, 42668}, {1114, 42667}, {1118, 6056}, {1126, 2308}, {1146, 23979}, {1147, 14593}, {1155, 34068}, {1167, 40958}, {1169, 2092}, {1170, 20229}, {1171, 20970}, {1172, 1409}, {1173, 13366}, {1174, 1475}, {1175, 40952}, {1176, 1843}, {1177, 2393}, {1178, 20964}, {1179, 23195}, {1191, 7050}, {1197, 1258}, {1214, 2204}, {1249, 14642}, {1259, 7337}, {1260, 1398}, {1262, 14936}, {1290, 42670}, {1291, 6140}, {1292, 8642}, {1293, 8643}, {1296, 8644}, {1297, 42671}, {1301, 42658}, {1302, 42660}, {1304, 9409}, {1308, 8645}, {1309, 23220}, {1310, 8646}, {1326, 2054}, {1334, 1412}, {1356, 6064}, {1357, 6065}, {1358, 6066}, {1379, 5638}, {1380, 5639}, {1384, 21448}, {1399, 7073}, {1403, 2053}, {1404, 2316}, {1405, 2364}, {1406, 7072}, {1410, 4183}, {1411, 2361}, {1413, 7074}, {1416, 2340}, {1417, 3689}, {1428, 7077}, {1431, 2330}, {1433, 3195}, {1435, 1802}, {1437, 1824}, {1447, 18265}, {1457, 2342}, {1458, 2195}, {1459, 8750}, {1468, 2258}, {1477, 8647}, {1486, 3433}, {1491, 34069}, {1494, 9407}, {1502, 9233}, {1509, 7109}, {1510, 32737}, {1511, 40355}, {1575, 34077}, {1580, 1967}, {1581, 1933}, {1582, 9288}, {1611, 40322}, {1613, 3224}, {1625, 2623}, {1631, 7087}, {1634, 18105}, {1635, 32665}, {1636, 32695}, {1637, 32640}, {1661, 34426}, {1676, 41378}, {1677, 41379}, {1692, 2987}, {1707, 38252}, {1716, 15370}, {1726, 7139}, {1740, 34248}, {1743, 38266}, {1755, 1910}, {1759, 40145}, {1783, 22383}, {1790, 2333}, {1799, 27369}, {1804, 6059}, {1821, 9417}, {1857, 7335}, {1880, 2193}, {1886, 32657}, {1916, 14602}, {1921, 18897}, {1923, 3112}, {1927, 1966}, {1929, 18266}, {1932, 9285}, {1945, 1951}, {1949, 2202}, {1950, 7106}, {1953, 2148}, {1965, 9236}, {1971, 1987}, {1979, 9265}, {1988, 32445}, {1990, 18877}, {1992, 39238}, {2052, 14585}, {2056, 8601}, {2070, 34448}, {2084, 4599}, {2112, 18783}, {2149, 2170}, {2150, 2171}, {2151, 2153}, {2152, 2154}, {2156, 2172}, {2159, 2173}, {2160, 2174}, {2161, 7113}, {2162, 2176}, {2163, 2177}, {2164, 2178}, {2167, 2179}, {2168, 2180}, {2169, 2181}, {2182, 32677}, {2189, 2197}, {2191, 21059}, {2196, 2201}, {2217, 3185}, {2218, 2352}, {2220, 39798}, {2222, 8648}, {2224, 2225}, {2238, 18268}, {2241, 30651}, {2242, 30650}, {2245, 34079}, {2248, 18755}, {2249, 42669}, {2254, 32666}, {2255, 2256}, {2259, 2260}, {2276, 40746}, {2279, 2280}, {2281, 2303}, {2282, 2304}, {2298, 2300}, {2310, 24027}, {2319, 41526}, {2321, 16947}, {2347, 3451}, {2349, 9406}, {2350, 4251}, {2354, 2359}, {2356, 36057}, {2357, 2360}, {2363, 3725}, {2384, 8649}, {2395, 14966}, {2420, 2433}, {2421, 2422}, {2423, 2427}, {2424, 2426}, {2425, 2432}, {2428, 2440}, {2429, 2441}, {2430, 2442}, {2431, 2443}, {2434, 2444}, {2435, 2445}, {2436, 2437}, {2481, 9455}, {2482, 41936}, {2489, 4558}, {2491, 2966}, {2501, 32661}, {2576, 2578}, {2577, 2579}, {2610, 32671}, {2624, 32678}, {2631, 36131}, {2635, 34078}, {2637, 36140}, {2638, 24033}, {2642, 36142}, {2701, 5075}, {2702, 5029}, {2703, 5040}, {2709, 9135}, {2712, 5168}, {2715, 3569}, {2748, 8650}, {2854, 32741}, {2908, 7094}, {2930, 22259}, {2963, 2965}, {3003, 14910}, {3016, 32730}, {3022, 7339}, {3043, 14595}, {3052, 3445}, {3053, 8770}, {3064, 32660}, {3068, 26454}, {3069, 26461}, {3094, 18898}, {3108, 5007}, {3114, 18899}, {3117, 3407}, {3121, 4567}, {3122, 4570}, {3129, 3438}, {3130, 3439}, {3131, 3442}, {3132, 3443}, {3135, 34449}, {3148, 3425}, {3158, 16945}, {3163, 40353}, {3167, 14248}, {3186, 15389}, {3197, 7152}, {3203, 30505}, {3207, 11051}, {3222, 9491}, {3225, 32748}, {3228, 33875}, {3249, 6632}, {3266, 19626}, {3269, 23964}, {3284, 8749}, {3288, 26714}, {3289, 6531}, {3292, 8753}, {3310, 32641}, {3331, 26717}, {3415, 37586}, {3423, 37580}, {3426, 26864}, {3431, 34417}, {3446, 16686}, {3447, 7669}, {3449, 21746}, {3450, 23638}, {3453, 20966}, {3456, 6636}, {3504, 11325}, {3506, 34214}, {3512, 19554}, {3527, 11402}, {3556, 7169}, {3565, 8651}, {3596, 41280}, {3709, 4565}, {3733, 4557}, {3768, 34075}, {3778, 38813}, {3926, 36417}, {3978, 8789}, {3990, 5317}, {4055, 8747}, {4057, 40519}, {4079, 4556}, {4100, 6520}, {4105, 6614}, {4117, 24037}, {4273, 28658}, {4370, 41935}, {4394, 34080}, {4471, 7236}, {4497, 7246}, {4559, 7252}, {4588, 4775}, {4591, 14407}, {4627, 4832}, {4628, 21123}, {4790, 34074}, {4834, 8652}, {4893, 34073}, {5008, 39389}, {5012, 27375}, {5023, 36616}, {5035, 39974}, {5039, 11175}, {5041, 34572}, {5052, 30535}, {5063, 34288}, {5089, 32658}, {5106, 5970}, {5147, 12031}, {5163, 35107}, {5285, 8615}, {5291, 17961}, {5383, 21762}, {5410, 6416}, {5411, 6415}, {5412, 6414}, {5413, 6413}, {5467, 9178}, {5486, 19136}, {5545, 8653}, {5546, 7180}, {5596, 22262}, {5649, 6041}, {5994, 6138}, {5995, 6137}, {6012, 8654}, {6013, 8655}, {6014, 8656}, {6016, 8657}, {6017, 8658}, {6037, 9420}, {6057, 7342}, {6061, 7143}, {6063, 9448}, {6078, 8659}, {6079, 8660}, {6129, 32652}, {6139, 14733}, {6184, 41934}, {6185, 39686}, {6233, 11186}, {6353, 40319}, {6366, 32728}, {6371, 32736}, {6391, 19118}, {6525, 14379}, {6529, 32320}, {6551, 8661}, {6574, 8662}, {6578, 8663}, {6589, 32653}, {6610, 18889}, {6611, 7367}, {6612, 7368}, {6651, 18263}, {6660, 41533}, {6759, 32319}, {6800, 14906}, {7008, 7114}, {7011, 7154}, {7053, 7071}, {7063, 7340}, {7064, 7341}, {7078, 7151}, {7079, 7099}, {7096, 32664}, {7100, 14975}, {7107, 7120}, {7115, 7117}, {7116, 7119}, {7123, 16502}, {7132, 20665}, {7261, 18262}, {7357, 40370}, {7649, 32656}, {7712, 14479}, {7735, 40799}, {7772, 39955}, {7953, 8664}, {7954, 8665}, {8053, 34444}, {8061, 34072}, {8265, 40416}, {8301, 41528}, {8574, 40173}, {8578, 40150}, {8603, 11083}, {8604, 11088}, {8609, 32655}, {8675, 32738}, {8677, 14776}, {8739, 36296}, {8740, 36297}, {8751, 20752}, {8752, 22356}, {8756, 32659}, {8761, 21767}, {8772, 36051}, {8791, 10317}, {8852, 17798}, {8911, 41515}, {8946, 10133}, {8948, 10132}, {9023, 9192}, {9033, 32715}, {9066, 9489}, {9125, 32648}, {9136, 9486}, {9186, 9188}, {9208, 32694}, {9217, 20998}, {9262, 41405}, {9266, 9299}, {9292, 9306}, {9310, 9315}, {9316, 9439}, {9408, 40384}, {9419, 34536}, {9427, 34537}, {9465, 9515}, {9470, 18264}, {9500, 20672}, {9697, 11538}, {9971, 19151}, {10117, 34190}, {10293, 40114}, {10316, 13854}, {10329, 14370}, {10355, 38533}, {10420, 21731}, {10423, 42665}, {10425, 42663}, {10630, 39689}, {10641, 32586}, {10642, 32585}, {11062, 11077}, {11063, 14579}, {11064, 40354}, {11079, 39176}, {11081, 11086}, {11082, 11136}, {11084, 19294}, {11087, 11135}, {11089, 19295}, {11134, 11138}, {11137, 11139}, {11422, 34154}, {11636, 17414}, {11672, 41932}, {12077, 14586}, {13338, 30537}, {13472, 15004}, {14085, 14088}, {14096, 42288}, {14251, 40820}, {14318, 43357}, {14376, 17409}, {14380, 23347}, {14385, 14583}, {14425, 32645}, {14528, 17810}, {14553, 37504}, {14569, 19210}, {14571, 14578}, {14580, 18876}, {14581, 14919}, {14582, 14591}, {14587, 41221}, {14603, 14604}, {14609, 41309}, {14621, 40728}, {14885, 21355}, {14946, 16985}, {15080, 41443}, {15166, 41941}, {15167, 41942}, {15369, 19588}, {15378, 20974}, {15382, 20455}, {15383, 23644}, {15388, 38356}, {15494, 34447}, {15526, 41937}, {15591, 41619}, {15742, 22096}, {15905, 41489}, {16277, 23208}, {16463, 37848}, {16464, 37850}, {16468, 40735}, {16685, 39964}, {16777, 34819}, {16813, 42293}, {16944, 40172}, {16946, 39956}, {16969, 36614}, {17407, 39172}, {17408, 39167}, {17415, 33514}, {17735, 17962}, {17939, 17989}, {17940, 17990}, {17942, 18000}, {17943, 18001}, {17944, 18002}, {17963, 17966}, {17974, 34854}, {17983, 23200}, {18018, 20968}, {18022, 40373}, {18038, 24479}, {18267, 39044}, {18334, 23588}, {18344, 36059}, {18384, 22115}, {18591, 40570}, {18756, 40737}, {18771, 20958}, {18772, 20959}, {18797, 40368}, {18881, 19220}, {18891, 18893}, {18894, 18895}, {18896, 18902}, {18901, 18903}, {19297, 19302}, {19561, 30648}, {19596, 34437}, {20228, 23617}, {20332, 21760}, {20468, 34183}, {20775, 32085}, {20859, 38826}, {20965, 42346}, {20979, 34071}, {20986, 34434}, {20987, 34436}, {20988, 34441}, {20989, 34442}, {20990, 34443}, {20992, 34445}, {20993, 34427}, {20999, 34179}, {21001, 36615}, {21747, 41434}, {21750, 40403}, {21751, 38810}, {21753, 40408}, {21759, 27644}, {21779, 40770}, {22052, 33631}, {22388, 26705}, {23099, 31614}, {23115, 40144}, {23202, 36125}, {23343, 23349}, {23344, 23345}, {23346, 23351}, {23383, 34429}, {23493, 38832}, {23590, 35071}, {23626, 38827}, {23858, 34184}, {23868, 34250}, {23971, 35508}, {23980, 41933}, {23984, 39687}, {23985, 35072}, {24012, 24013}, {24021, 42080}, {24576, 30634}, {26920, 41516}, {27374, 39287}, {28781, 28785}, {28784, 34167}, {30435, 39951}, {32230, 34980}, {32651, 33525}, {33882, 39981}, {34121, 34125}, {34238, 36213}, {34565, 34567}, {34570, 40135}, {34818, 36748}, {34921, 42657}, {36069, 42666}, {36617, 38297}, {37128, 41333}, {37183, 39644}, {39110, 39111}, {39625, 39627}, {40320, 40323}, {40321, 40324}, {40347, 41336}, {40363, 41281}, {40372, 40421}, {40415, 40935}, {40802, 40825}, {40814, 40823}, {41196, 41200}, {41197, 41201}, {41521, 41615}, {41534, 41882}, {41880, 41881}, {43112, 43113}

X(75) = cevapoint of X(i) and X(j) for these (i,j): {1, 63}, {2, 8}, {3, 22130}, {4, 17903}, {6, 1631}, {7, 347}, {10, 321}, {11, 21120}, {31, 2172}, {37, 22271}, {38, 1930}, {57, 21147}, {58, 38822}, {76, 6382}, {85, 31627}, {92, 1895}, {239, 1281}, {244, 514}, {307, 1441}, {323, 4996}, {512, 6377}, {522, 4858}, {523, 1086}, {525, 2968}, {561, 18837}, {656, 20902}, {693, 1111}, {740, 17755}, {758, 16586}, {850, 34387}, {894, 17797}, {908, 24028}, {984, 27474}, {1099, 14206}, {1109, 1577}, {1125, 3578}, {1227, 35550}, {1266, 20900}, {1580, 19572}, {1647, 21129}, {1734, 20901}, {1738, 20431}, {1739, 21427}, {1959, 23996}, {1962, 17746}, {2085, 20627}, {2292, 3687}, {2643, 8061}, {3120, 21124}, {3123, 20906}, {3239, 24010}, {3663, 20895}, {3670, 20896}, {3672, 28616}, {3705, 33890}, {3728, 20891}, {3778, 20234}, {3912, 4712}, {3914, 20235}, {3936, 4736}, {4000, 11677}, {4025, 17880}, {4151, 40619}, {4357, 18697}, {4358, 4738}, {4359, 4647}, {4391, 24026}, {4467, 17886}, {4793, 24589}, {4847, 20880}, {4972, 21425}, {5515, 23879}, {6332, 24031}, {7081, 17741}, {14208, 17879}, {14210, 24038}, {16732, 30591}, {17446, 21424}, {17864, 22069}, {17872, 21406}, {20237, 24443}, {20888, 21020}, {20899, 24165}, {24014, 30807}, {33679, 40844}

X(75) = crosspoint of X(i) and X(j) for these (i,j): {1, 3223}, {2, 330}, {76, 6063}, {99, 4998}, {274, 310}, {291, 24576}, {561, 1969}, {668, 7035}, {670, 31625}, {799, 24037}, {811, 23999}, {1916, 40098}, {3112, 18833}

X(75) = crosssum of X(i) and X(j) for these (i,j): {1, 1740}, {2, 17486}, {3, 23075}, {6, 2176}, {9, 32468}, {32, 2175}, {75, 33788}, {213, 1918}, {238, 19580}, {512, 3271}, {560, 9247}, {649, 38346}, {667, 3248}, {669, 1977}, {1923, 1964}, {1966, 18270}, {3708, 8061}, {3747, 20663}, {8022, 16584}, {38810, 38820}

X(75) = barycentric product X(i)*X(j) for these {i,j}: {1, 76}, {3, 1969}, {4, 304}, {6, 561}, {7, 312}, {8, 85}, {9, 6063}, {10, 274}, {19, 305}, {21, 349}, {25, 40364}, {27, 20336}, {28, 40071}, {29, 1231}, {30, 33805}, {31, 1502}, {32, 1928}, {37, 310}, {38, 308}, {39, 18833}, {41, 41283}, {42, 6385}, {43, 6383}, {48, 18022}, {55, 20567}, {56, 28659}, {57, 3596}, {58, 27801}, {63, 264}, {65, 28660}, {66, 20641}, {67, 20944}, {69, 92}, {77, 7017}, {78, 331}, {79, 33939}, {80, 20924}, {81, 313}, {82, 8024}, {83, 1930}, {86, 321}, {87, 6382}, {88, 3264}, {91, 7763}, {95, 14213}, {99, 1577}, {100, 3261}, {101, 40495}, {110, 20948}, {115, 24037}, {141, 3112}, {145, 40014}, {158, 3926}, {162, 3267}, {189, 322}, {190, 693}, {192, 6384}, {194, 18832}, {226, 314}, {238, 18895}, {239, 334}, {244, 31625}, {249, 23994}, {253, 18750}, {255, 18027}, {256, 1920}, {257, 1909}, {261, 6358}, {262, 3403}, {271, 40701}, {273, 345}, {275, 18695}, {278, 3718}, {279, 341}, {280, 40702}, {281, 7182}, {286, 306}, {287, 40703}, {290, 1959}, {291, 1921}, {292, 18891}, {297, 336}, {307, 31623}, {309, 329}, {311, 2167}, {318, 348}, {319, 30690}, {320, 18359}, {325, 1821}, {326, 2052}, {330, 6376}, {332, 40149}, {333, 1441}, {335, 350}, {338, 24041}, {343, 40440}, {346, 1088}, {347, 34404}, {384, 9239}, {385, 1934}, {479, 30693}, {512, 4602}, {513, 1978}, {514, 668}, {518, 18031}, {519, 20568}, {522, 4554}, {523, 799}, {525, 811}, {536, 31002}, {555, 7027}, {556, 4146}, {560, 40362}, {594, 873}, {596, 18140}, {604, 40363}, {610, 41530}, {626, 38847}, {645, 4077}, {646, 3676}, {648, 14208}, {649, 6386}, {650, 4572}, {651, 35519}, {653, 35518}, {656, 6331}, {658, 4397}, {661, 670}, {662, 850}, {664, 4391}, {671, 14210}, {673, 3263}, {679, 36791}, {683, 18671}, {689, 8061}, {694, 1926}, {695, 1925}, {717, 30875}, {726, 32020}, {740, 40017}, {753, 30874}, {757, 28654}, {765, 23989}, {774, 40830}, {789, 824}, {798, 4609}, {801, 17858}, {812, 4583}, {823, 3265}, {825, 30870}, {826, 4593}, {858, 37220}, {870, 3661}, {871, 2276}, {874, 4444}, {876, 27853}, {889, 4728}, {894, 7018}, {896, 18023}, {897, 3266}, {903, 4358}, {908, 18816}, {996, 33934}, {1000, 20925}, {1002, 21615}, {1014, 30713}, {1016, 1111}, {1019, 27808}, {1029, 20932}, {1031, 20934}, {1043, 1446}, {1086, 7035}, {1089, 1509}, {1093, 1102}, {1099, 31621}, {1101, 23962}, {1109, 4590}, {1121, 30806}, {1125, 32018}, {1218, 31330}, {1220, 20911}, {1221, 3741}, {1222, 26563}, {1226, 40399}, {1228, 2363}, {1229, 21453}, {1230, 40438}, {1233, 2346}, {1235, 34055}, {1237, 40432}, {1240, 3666}, {1241, 17446}, {1255, 1269}, {1265, 1847}, {1266, 36805}, {1268, 4359}, {1275, 24026}, {1278, 40027}, {1369, 39727}, {1370, 39733}, {1400, 40072}, {1434, 3701}, {1468, 40828}, {1491, 37133}, {1494, 14206}, {1580, 18896}, {1581, 3978}, {1655, 18298}, {1725, 40832}, {1733, 8781}, {1734, 31624}, {1740, 40162}, {1748, 20563}, {1755, 18024}, {1760, 18018}, {1799, 20883}, {1895, 34403}, {1897, 15413}, {1916, 1966}, {1917, 40359}, {1927, 18901}, {1953, 34384}, {1964, 40016}, {1965, 9229}, {1967, 14603}, {1973, 40050}, {1993, 20571}, {2064, 15314}, {2084, 42371}, {2113, 20446}, {2156, 40073}, {2157, 40074}, {2161, 40075}, {2166, 7799}, {2171, 18021}, {2172, 40421}, {2184, 14615}, {2185, 34388}, {2186, 20023}, {2190, 28706}, {2234, 34087}, {2254, 36803}, {2275, 7034}, {2292, 40827}, {2349, 3260}, {2350, 40088}, {2373, 20884}, {2400, 42719}, {2481, 3912}, {2517, 37215}, {2533, 7260}, {2580, 22339}, {2581, 22340}, {2582, 15164}, {2583, 15165}, {2643, 34537}, {2799, 36036}, {2887, 38810}, {2896, 18834}, {2962, 7769}, {2994, 20930}, {2995, 4417}, {2996, 18156}, {2997, 18134}, {2998, 17149}, {3005, 37204}, {3006, 37130}, {3113, 3314}, {3120, 4601}, {3212, 27424}, {3218, 20566}, {3219, 20565}, {3222, 20910}, {3223, 6374}, {3224, 18837}, {3227, 6381}, {3239, 4569}, {3241, 40029}, {3262, 34234}, {3268, 32680}, {3496, 18836}, {3497, 18835}, {3509, 18036}, {3613, 33764}, {3616, 40023}, {3621, 40026}, {3662, 7033}, {3663, 32017}, {3673, 30701}, {3679, 20569}, {3687, 31643}, {3699, 24002}, {3700, 4625}, {3717, 34018}, {3729, 32023}, {3758, 30635}, {3759, 30636}, {3762, 4555}, {3766, 4562}, {3835, 18830}, {3868, 40011}, {3875, 40012}, {3904, 35174}, {3936, 14616}, {3948, 18827}, {3952, 7199}, {3963, 32010}, {3964, 6521}, {3975, 7233}, {4008, 40824}, {4010, 4639}, {4024, 4623}, {4025, 6335}, {4033, 7192}, {4036, 4610}, {4043, 39734}, {4080, 30939}, {4086, 4573}, {4118, 38830}, {4120, 4634}, {4143, 36126}, {4163, 36838}, {4176, 6520}, {4329, 40015}, {4357, 30710}, {4360, 40013}, {4373, 18743}, {4374, 27805}, {4431, 32021}, {4441, 27475}, {4451, 7196}, {4453, 36804}, {4467, 15455}, {4475, 5388}, {4486, 41072}, {4505, 4817}, {4509, 8707}, {4518, 10030}, {4552, 18155}, {4561, 17924}, {4563, 24006}, {4564, 34387}, {4567, 21207}, {4576, 18070}, {4592, 14618}, {4597, 4791}, {4598, 20906}, {4599, 23285}, {4600, 16732}, {4624, 4811}, {4632, 30591}, {4633, 4815}, {4645, 40845}, {4647, 32014}, {4651, 40004}, {4671, 39704}, {4766, 43099}, {4789, 35181}, {4823, 32042}, {4847, 31618}, {4858, 4998}, {4862, 34523}, {4876, 18033}, {4978, 6540}, {5209, 11611}, {5249, 40422}, {5423, 23062}, {5466, 24039}, {5905, 20570}, {5936, 19804}, {6149, 20573}, {6332, 18026}, {6339, 33787}, {6393, 36120}, {6504, 33808}, {6528, 24018}, {6539, 16709}, {6542, 18032}, {6548, 24004}, {6553, 33780}, {6557, 39126}, {6601, 21609}, {6625, 17762}, {6630, 18159}, {6650, 20947}, {6664, 18064}, {6742, 18160}, {6757, 34016}, {7045, 23978}, {7056, 7101}, {7096, 40365}, {7121, 40367}, {7155, 30545}, {7168, 18275}, {7178, 7257}, {7209, 27538}, {7219, 20914}, {7224, 17788}, {7237, 7307}, {7249, 17787}, {7261, 17789}, {7319, 21605}, {7357, 20444}, {7361, 18749}, {8044, 20929}, {8046, 20937}, {8047, 18151}, {8048, 20928}, {8049, 18137}, {8050, 20949}, {8709, 20908}, {9230, 9285}, {9295, 18149}, {9436, 36796}, {9447, 41287}, {9476, 17875}, {9505, 18035}, {10405, 16284}, {10436, 34258}, {10453, 40025}, {13136, 36038}, {13476, 18152}, {13485, 20941}, {13575, 21582}, {13576, 18157}, {13577, 20927}, {14080, 14087}, {14207, 35179}, {14295, 37134}, {14377, 33932}, {14534, 18697}, {14621, 33931}, {14623, 30149}, {14624, 16739}, {14942, 40704}, {15224, 15225}, {15415, 36134}, {15416, 36118}, {15466, 19611}, {15467, 27396}, {15526, 23999}, {16099, 42709}, {16552, 40005}, {16568, 18019}, {16703, 18082}, {17135, 39735}, {17143, 17758}, {17147, 40010}, {17160, 39994}, {17206, 41013}, {17277, 40216}, {17280, 40038}, {17302, 40033}, {17316, 40028}, {17445, 31630}, {17484, 40716}, {17495, 40039}, {17739, 18760}, {17743, 33930}, {17760, 18299}, {17791, 21739}, {17862, 40424}, {17871, 42407}, {17879, 23582}, {17893, 43188}, {18020, 20902}, {18025, 30807}, {18062, 31065}, {18075, 25322}, {18133, 35058}, {18135, 34860}, {18143, 27807}, {18145, 39697}, {18147, 39700}, {18154, 42363}, {18276, 39932}, {18277, 24576}, {18297, 18297}, {18596, 40009}, {18797, 33790}, {18811, 30827}, {18815, 32851}, {18840, 39731}, {19579, 30633}, {20234, 40415}, {20235, 40411}, {20236, 40419}, {20332, 35538}, {20627, 40416}, {20879, 40410}, {20880, 32008}, {20888, 32009}, {20889, 39968}, {20891, 40418}, {20892, 32011}, {20893, 32012}, {20894, 32013}, {20895, 40420}, {20898, 40425}, {20903, 40429}, {20907, 30610}, {20913, 39717}, {20917, 41527}, {20923, 39741}, {20933, 39726}, {20939, 35511}, {20942, 36606}, {20943, 38247}, {20945, 38262}, {20946, 42361}, {21289, 40037}, {21378, 40036}, {21406, 40413}, {21598, 41513}, {22464, 36795}, {23051, 40022}, {23626, 38812}, {23970, 24011}, {23974, 24021}, {23983, 24032}, {24000, 36793}, {24001, 34767}, {24020, 34538}, {24325, 40024}, {24624, 35550}, {25417, 30596}, {27375, 33778}, {27447, 41318}, {27494, 30963}, {27569, 40164}, {27795, 41830}, {28605, 30598}, {28626, 42029}, {30565, 35171}, {30566, 35175}, {30579, 40040}, {30712, 42034}, {30736, 37132}, {30758, 39721}, {30829, 36588}, {30940, 43534}, {31008, 42027}, {31359, 34284}, {32679, 35139}, {33090, 40044}, {33672, 41514}, {33788, 42486}, {33809, 36955}, {33935, 43531}, {33938, 39724}, {33944, 39722}, {35516, 36100}, {35517, 36101}, {35520, 36102}, {35522, 36085}, {35543, 37129}, {35544, 37128}, {35551, 37208}, {36263, 40826}, {39044, 40098}, {39698, 39995}, {39699, 39996}, {39723, 40001}, {39725, 40035}, {39748, 40034}, {39798, 40087}, {39981, 40089}, {40327, 40339}

X(75) = barycentric quotient X(i)/X(j) for these {i,j}: {1, 6}, {2, 1}, {3, 48}, {4, 19}, {5, 1953}, {6, 31}, {7, 57}, {8, 9}, {9, 55}, {10, 37}, {11, 2170}, {12, 2171}, {13, 2153}, {14, 2154}, {15, 2151}, {16, 2152}, {19, 25}, {20, 610}, {21, 284}, {22, 2172}, {25, 1973}, {27, 28}, {28, 1474}, {29, 1172}, {30, 2173}, {31, 32}, {32, 560}, {33, 607}, {34, 608}, {35, 2174}, {36, 7113}, {37, 42}, {38, 39}, {39, 1964}, {40, 198}, {41, 2175}, {42, 213}, {43, 2176}, {44, 902}, {45, 2177}, {46, 2178}, {47, 571}, {48, 184}, {51, 2179}, {52, 2180}, {53, 2181}, {54, 2148}, {55, 41}, {56, 604}, {57, 56}, {58, 1333}, {59, 2149}, {60, 2150}, {63, 3}, {64, 2155}, {65, 1400}, {66, 2156}, {67, 2157}, {68, 1820}, {69, 63}, {70, 2158}, {71, 228}, {72, 71}, {73, 1409}, {74, 2159}, {77, 222}, {78, 219}, {79, 2160}, {80, 2161}, {81, 58}, {82, 251}, {83, 82}, {84, 1436}, {85, 7}, {86, 81}, {87, 2162}, {88, 106}, {89, 2163}, {90, 2164}, {91, 2165}, {92, 4}, {94, 2166}, {95, 2167}, {96, 2168}, {97, 2169}, {98, 1910}, {99, 662}, {100, 101}, {101, 692}, {102, 32677}, {103, 911}, {104, 909}, {105, 1438}, {106, 9456}, {107, 24019}, {108, 32674}, {109, 1415}, {110, 163}, {111, 923}, {112, 32676}, {114, 17462}, {115, 2643}, {116, 17463}, {120, 17464}, {121, 17465}, {124, 38345}, {125, 3708}, {126, 17466}, {140, 17438}, {141, 38}, {142, 354}, {144, 165}, {145, 1743}, {147, 16559}, {148, 2640}, {149, 5540}, {150, 16560}, {158, 393}, {162, 112}, {163, 1576}, {165, 3207}, {169, 1486}, {171, 172}, {172, 7122}, {173, 42622}, {174, 266}, {177, 18888}, {178, 7707}, {184, 9247}, {187, 922}, {188, 259}, {189, 84}, {190, 100}, {191, 1030}, {192, 43}, {193, 1707}, {194, 1740}, {196, 208}, {197, 205}, {198, 2187}, {200, 220}, {201, 2197}, {204, 3172}, {206, 17453}, {208, 3209}, {209, 2198}, {210, 1334}, {213, 1918}, {214, 17455}, {218, 21059}, {219, 212}, {220, 1253}, {221, 2199}, {222, 603}, {223, 221}, {224, 3211}, {225, 1880}, {226, 65}, {228, 2200}, {230, 8772}, {234, 10490}, {237, 9417}, {238, 1914}, {239, 238}, {240, 232}, {241, 1458}, {242, 2201}, {243, 2202}, {244, 1015}, {249, 1101}, {253, 2184}, {255, 577}, {256, 893}, {257, 256}, {261, 2185}, {262, 2186}, {263, 3402}, {264, 92}, {267, 3444}, {268, 2188}, {269, 1407}, {270, 2189}, {271, 268}, {273, 278}, {274, 86}, {275, 2190}, {276, 40440}, {277, 2191}, {278, 34}, {279, 269}, {280, 282}, {281, 33}, {282, 2192}, {283, 2193}, {284, 2194}, {286, 27}, {287, 293}, {290, 1821}, {291, 292}, {292, 1911}, {293, 248}, {294, 2195}, {295, 2196}, {296, 1949}, {297, 240}, {304, 69}, {305, 304}, {306, 72}, {307, 1214}, {308, 3112}, {309, 189}, {310, 274}, {311, 14213}, {312, 8}, {313, 321}, {314, 333}, {315, 1760}, {316, 16568}, {317, 1748}, {318, 281}, {319, 3219}, {320, 3218}, {321, 10}, {322, 329}, {323, 6149}, {325, 1959}, {326, 394}, {329, 40}, {330, 87}, {331, 273}, {332, 1812}, {333, 21}, {334, 335}, {335, 291}, {336, 287}, {338, 1109}, {339, 20902}, {341, 346}, {342, 196}, {344, 3870}, {345, 78}, {346, 200}, {347, 223}, {348, 77}, {349, 1441}, {350, 239}, {354, 1475}, {360, 1049}, {364, 20673}, {365, 18753}, {366, 365}, {367, 20664}, {384, 1582}, {385, 1580}, {388, 2285}, {391, 4512}, {393, 1096}, {394, 255}, {399, 19303}, {401, 1955}, {411, 1630}, {412, 38860}, {427, 17442}, {440, 18673}, {441, 8766}, {442, 2294}, {445, 1844}, {448, 23692}, {452, 380}, {476, 32678}, {477, 36151}, {479, 738}, {480, 6602}, {483, 7014}, {484, 19297}, {487, 19216}, {488, 19215}, {497, 2082}, {502, 21353}, {508, 509}, {510, 20469}, {511, 1755}, {512, 798}, {513, 649}, {514, 513}, {515, 2182}, {516, 910}, {517, 2183}, {518, 672}, {519, 44}, {520, 822}, {521, 652}, {522, 650}, {523, 661}, {524, 896}, {525, 656}, {526, 2624}, {527, 1155}, {528, 2246}, {536, 899}, {537, 20331}, {538, 2234}, {542, 2247}, {551, 16666}, {553, 32636}, {554, 33654}, {555, 7371}, {556, 188}, {560, 1501}, {561, 76}, {564, 1879}, {572, 20986}, {573, 3185}, {579, 2352}, {593, 849}, {594, 756}, {595, 2220}, {596, 39798}, {599, 36263}, {604, 1397}, {607, 2212}, {608, 1395}, {610, 154}, {614, 16502}, {616, 19298}, {617, 19299}, {620, 17467}, {625, 17472}, {626, 4118}, {643, 5546}, {644, 3939}, {645, 643}, {646, 3699}, {647, 810}, {648, 162}, {649, 667}, {650, 663}, {651, 109}, {652, 1946}, {653, 108}, {654, 8648}, {655, 2222}, {656, 647}, {657, 8641}, {658, 934}, {659, 8632}, {660, 813}, {661, 512}, {662, 110}, {663, 3063}, {664, 651}, {666, 36086}, {667, 1919}, {668, 190}, {669, 1924}, {670, 799}, {671, 897}, {672, 2223}, {673, 105}, {674, 2225}, {675, 2224}, {677, 36039}, {678, 1017}, {679, 2226}, {685, 36104}, {687, 36114}, {689, 4593}, {690, 2642}, {691, 36142}, {692, 32739}, {693, 514}, {694, 1967}, {695, 9288}, {698, 2227}, {712, 2228}, {714, 2229}, {716, 2230}, {718, 2231}, {720, 2232}, {722, 2233}, {726, 1575}, {727, 34077}, {728, 480}, {730, 2235}, {732, 2236}, {734, 2237}, {738, 7023}, {740, 2238}, {741, 18268}, {742, 2239}, {744, 2240}, {748, 2241}, {749, 30651}, {750, 2242}, {751, 30650}, {752, 2243}, {754, 2244}, {756, 1500}, {757, 593}, {758, 2245}, {759, 34079}, {764, 21143}, {765, 1252}, {774, 800}, {775, 41890}, {789, 4586}, {798, 669}, {799, 99}, {801, 775}, {810, 3049}, {811, 648}, {812, 659}, {813, 34067}, {822, 39201}, {823, 107}, {824, 1491}, {825, 34069}, {826, 8061}, {827, 34072}, {830, 2483}, {846, 18755}, {850, 1577}, {851, 42669}, {858, 18669}, {869, 40728}, {870, 14621}, {872, 7109}, {873, 1509}, {874, 3570}, {876, 3572}, {883, 1025}, {885, 1024}, {889, 4607}, {891, 3768}, {892, 36085}, {893, 904}, {894, 171}, {895, 36060}, {896, 187}, {897, 111}, {898, 34075}, {899, 3230}, {900, 1635}, {901, 32665}, {902, 2251}, {903, 88}, {904, 7104}, {905, 1459}, {906, 32656}, {908, 517}, {909, 34858}, {912, 2252}, {914, 912}, {915, 913}, {916, 2253}, {918, 2254}, {919, 32666}, {920, 1609}, {922, 14567}, {923, 32740}, {925, 36145}, {927, 36146}, {930, 36148}, {932, 34071}, {934, 1461}, {936, 2256}, {937, 2255}, {938, 2257}, {940, 1468}, {941, 2258}, {942, 2260}, {943, 2259}, {944, 2261}, {946, 2262}, {948, 2263}, {950, 2264}, {952, 2265}, {954, 2266}, {956, 2267}, {958, 2268}, {960, 2269}, {962, 2270}, {966, 968}, {968, 2271}, {969, 967}, {971, 2272}, {976, 2273}, {978, 21769}, {980, 2274}, {982, 2275}, {984, 2276}, {985, 40746}, {986, 2277}, {993, 2278}, {996, 40401}, {1001, 2280}, {1002, 2279}, {1005, 2301}, {1006, 2302}, {1010, 2303}, {1011, 2304}, {1014, 1412}, {1015, 3248}, {1016, 765}, {1018, 4557}, {1019, 3733}, {1021, 21789}, {1022, 23345}, {1023, 23344}, {1024, 884}, {1025, 2283}, {1026, 2284}, {1029, 267}, {1031, 39725}, {1038, 2286}, {1040, 7124}, {1043, 2287}, {1045, 21779}, {1046, 2305}, {1052, 41395}, {1054, 9259}, {1064, 2288}, {1073, 19614}, {1077, 359}, {1078, 18042}, {1081, 2306}, {1082, 2307}, {1084, 4117}, {1086, 244}, {1087, 36412}, {1088, 279}, {1089, 594}, {1092, 4100}, {1093, 6520}, {1096, 2207}, {1097, 36413}, {1098, 7054}, {1099, 3163}, {1100, 2308}, {1101, 23357}, {1102, 3964}, {1107, 2309}, {1108, 40958}, {1109, 115}, {1110, 23990}, {1111, 1086}, {1113, 2576}, {1114, 2577}, {1115, 7039}, {1119, 1435}, {1120, 40400}, {1121, 1156}, {1124, 605}, {1125, 1100}, {1126, 28615}, {1143, 7010}, {1146, 2310}, {1147, 563}, {1150, 993}, {1154, 2290}, {1155, 1055}, {1156, 2291}, {1157, 19306}, {1172, 2299}, {1193, 2300}, {1201, 20228}, {1210, 1108}, {1211, 2292}, {1212, 2293}, {1213, 1962}, {1214, 73}, {1215, 2295}, {1218, 2296}, {1219, 2297}, {1220, 2298}, {1221, 40418}, {1222, 23617}, {1226, 17862}, {1228, 18697}, {1229, 4847}, {1230, 4647}, {1231, 307}, {1232, 20879}, {1233, 20880}, {1235, 20883}, {1236, 20884}, {1237, 3963}, {1240, 30710}, {1245, 2281}, {1246, 2282}, {1249, 204}, {1252, 1110}, {1253, 14827}, {1255, 1126}, {1257, 2983}, {1259, 2289}, {1260, 1802}, {1262, 24027}, {1264, 3719}, {1265, 3692}, {1266, 16610}, {1267, 3083}, {1268, 1255}, {1269, 4359}, {1274, 7001}, {1275, 7045}, {1276, 19304}, {1277, 19305}, {1278, 16569}, {1281, 19557}, {1282, 20672}, {1293, 34080}, {1302, 36149}, {1304, 36131}, {1319, 1404}, {1320, 2316}, {1323, 6610}, {1329, 17452}, {1330, 1761}, {1331, 906}, {1332, 1331}, {1333, 2206}, {1335, 606}, {1337, 19300}, {1338, 19301}, {1352, 16567}, {1368, 18671}, {1369, 21378}, {1370, 18596}, {1376, 9310}, {1385, 2317}, {1386, 21764}, {1400, 1402}, {1403, 41526}, {1407, 1106}, {1408, 16947}, {1412, 1408}, {1414, 4565}, {1422, 1413}, {1423, 1403}, {1427, 1042}, {1429, 1428}, {1432, 1431}, {1434, 1014}, {1435, 1398}, {1436, 2208}, {1440, 1422}, {1441, 226}, {1442, 2003}, {1444, 1790}, {1445, 1617}, {1446, 3668}, {1447, 1429}, {1459, 22383}, {1462, 1416}, {1465, 1457}, {1468, 5019}, {1474, 2203}, {1476, 3451}, {1488, 289}, {1490, 3197}, {1491, 3250}, {1492, 825}, {1494, 2349}, {1495, 9406}, {1496, 5065}, {1500, 872}, {1501, 1917}, {1502, 561}, {1503, 2312}, {1509, 757}, {1565, 3942}, {1575, 3009}, {1577, 523}, {1580, 1691}, {1581, 694}, {1582, 1915}, {1621, 4251}, {1631, 32664}, {1635, 1960}, {1638, 14413}, {1639, 4895}, {1647, 2087}, {1654, 846}, {1655, 1045}, {1659, 2362}, {1691, 1933}, {1698, 16777}, {1706, 1696}, {1707, 3053}, {1708, 37579}, {1712, 1033}, {1716, 21775}, {1724, 5301}, {1725, 3003}, {1726, 23843}, {1730, 23383}, {1733, 230}, {1734, 6586}, {1735, 8607}, {1736, 8608}, {1737, 8609}, {1738, 3290}, {1739, 8610}, {1740, 1613}, {1742, 20995}, {1743, 3052}, {1745, 21767}, {1748, 24}, {1749, 11063}, {1751, 2218}, {1755, 237}, {1757, 17735}, {1758, 17966}, {1759, 1631}, {1760, 22}, {1761, 199}, {1762, 3145}, {1763, 3556}, {1764, 23361}, {1766, 197}, {1769, 3310}, {1780, 41332}, {1783, 8750}, {1784, 1990}, {1785, 14571}, {1790, 1437}, {1791, 2359}, {1792, 2327}, {1795, 14578}, {1797, 36058}, {1799, 34055}, {1804, 7125}, {1812, 283}, {1813, 36059}, {1814, 36057}, {1815, 36056}, {1817, 2360}, {1818, 20752}, {1820, 2351}, {1821, 98}, {1824, 2333}, {1826, 1824}, {1829, 2354}, {1834, 40977}, {1837, 40968}, {1838, 1841}, {1839, 2355}, {1847, 1119}, {1848, 1829}, {1855, 1827}, {1858, 1195}, {1861, 5089}, {1895, 1249}, {1896, 8748}, {1897, 1783}, {1899, 2083}, {1903, 2357}, {1909, 894}, {1910, 1976}, {1911, 1922}, {1914, 2210}, {1915, 1932}, {1916, 1581}, {1917, 9233}, {1918, 2205}, {1919, 1980}, {1920, 1909}, {1921, 350}, {1922, 14598}, {1923, 41331}, {1924, 9426}, {1925, 9230}, {1926, 3978}, {1927, 8789}, {1928, 1502}, {1929, 17962}, {1930, 141}, {1931, 1326}, {1933, 14602}, {1934, 1916}, {1935, 1950}, {1936, 1951}, {1937, 1945}, {1940, 7120}, {1943, 1935}, {1944, 1936}, {1947, 1940}, {1948, 243}, {1952, 1937}, {1953, 51}, {1954, 1970}, {1955, 1971}, {1956, 1987}, {1957, 1968}, {1958, 9306}, {1959, 511}, {1962, 20970}, {1964, 3051}, {1965, 384}, {1966, 385}, {1967, 9468}, {1969, 264}, {1972, 1956}, {1973, 1974}, {1975, 1958}, {1978, 668}, {1981, 23353}, {1992, 36277}, {1993, 47}, {1994, 2964}, {1997, 36846}, {1999, 5247}, {2003, 1399}, {2006, 1411}, {2051, 34434}, {2052, 158}, {2064, 7270}, {2082, 7083}, {2083, 40947}, {2084, 688}, {2085, 8265}, {2090, 15997}, {2092, 3725}, {2099, 1405}, {2113, 18783}, {2128, 19588}, {2129, 15369}, {2151, 34394}, {2152, 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{40217, 22116}, {40300, 40302}, {40301, 40300}, {40327, 40338}, {40339, 40301}, {40361, 33806}, {40362, 1928}, {40363, 28659}, {40364, 305}, {40365, 20444}, {40370, 40371}, {40382, 33783}, {40383, 40375}, {40393, 2216}, {40399, 1167}, {40414, 40431}, {40418, 1258}, {40420, 1476}, {40422, 40435}, {40424, 40399}, {40432, 1178}, {40434, 41434}, {40435, 943}, {40438, 1171}, {40439, 40408}, {40440, 275}, {40443, 1803}, {40471, 14991}, {40493, 36854}, {40495, 3261}, {40504, 40147}, {40515, 40504}, {40571, 1780}, {40592, 501}, {40593, 31526}, {40594, 39148}, {40603, 3159}, {40612, 6126}, {40619, 17761}, {40624, 34589}, {40626, 34588}, {40650, 38003}, {40699, 15891}, {40700, 15892}, {40701, 342}, {40702, 347}, {40703, 297}, {40704, 9436}, {40716, 21739}, {40718, 40747}, {40719, 5228}, {40720, 40753}, {40721, 40749}, {40722, 40751}, {40723, 40765}, {40724, 40754}, {40725, 40767}, {40728, 18900}, {40737, 40770}, {40738, 40763}, {40739, 40757}, {40740, 40766}, {40741, 40768}, {40742, 40772}, {40743, 40752}, {40773, 3736}, {40814, 4008}, {40836, 7129}, {40837, 207}, {40838, 7007}, {40843, 296}, {40845, 7261}, {40846, 7061}, {40848, 41531}, {40850, 34054}, {40862, 9364}, {40863, 23693}, {40864, 14189}, {40869, 41339}, {40873, 41532}, {40874, 2669}, {40875, 5205}, {40880, 9371}, {40882, 2651}, {40934, 21750}, {40935, 21751}, {40936, 21752}, {40937, 14547}, {40940, 1104}, {40952, 40978}, {40962, 40969}, {40963, 40970}, {40977, 40984}, {40999, 16577}, {41004, 26934}, {41005, 6508}, {41006, 14100}, {41013, 1826}, {41014, 3958}, {41072, 37207}, {41079, 36035}, {41081, 1433}, {41083, 3194}, {41140, 3246}, {41239, 19133}, {41283, 20567}, {41314, 23891}, {41318, 17752}, {41497, 41368}, {41514, 3345}, {41532, 41882}, {41535, 40874}, {41629, 16948}, {41760, 17871}, {41777, 7248}, {41798, 4845}, {41804, 18593}, {41809, 3743}, {41821, 5506}, {41847, 14996}, {41875, 20090}, {41878, 34195}, {41886, 20284}, {41915, 3646}, {42005, 5949}, {42012, 32561}, {42014, 32578}, {42027, 16606}, {42029, 9780}, {42033, 4420}, {42034, 3617}, {42051, 27627}, {42066, 9560}, {42074, 9408}, {42075, 9419}, {42079, 39686}, {42081, 39689}, {42285, 39974}, {42303, 42301}, {42311, 10509}, {42371, 37204}, {42455, 42462}, {42456, 21854}, {42467, 3435}, {42483, 8917}, {42554, 20898}, {42555, 6164}, {42696, 3305}, {42697, 3306}, {42708, 21674}, {42709, 16086}, {42710, 21081}, {42712, 4061}, {42713, 4062}, {42719, 2398}, {42720, 1026}, {42754, 42753}, {43035, 1456}, {43040, 1463}, {43071, 43070}, {43093, 37130}, {43099, 37208}, {43187, 36036}, {43531, 2214} {X(i),X(j)}-harmonic conjugate of X(k) for these (i,j,k): {1, 86, 17394}, {1, 274, 31997}, {1, 304, 18156}, {1, 1733, 4008}, {1, 1740, 1964}, {1, 1930, 304}, {1, 2234, 36289}, {1, 3403, 1966}, {1, 3875, 4360}, {1, 4360, 17393}, {1, 10436, 86}, {1, 10447, 314}, {1, 16571, 1740}, {1, 17143, 17144}, {1, 17151, 3875}, {1, 18691, 17858}, {1, 18695, 33808}, {1, 25528, 24661}, {1, 25590, 10436}, {1, 32092, 274}, {1, 32104, 17143}, {1, 33933, 33943}, {1, 33935, 17762}, {1, 33943, 41875}, {2, 37, 4687}, {2, 192, 37}, {2, 312, 18743}, {2, 321, 312}, {2, 344, 17263}, {2, 345, 33116}, {2, 346, 344}, {2, 350, 30963}, {2, 1229, 20946}, {2, 1267, 32791}, {2, 1278, 192}, {2, 2345, 17289}, {2, 3210, 3666}, {2, 3263, 30758}, {2, 3672, 17321}, {2, 3739, 4751}, {2, 4000, 16706}, {2, 4358, 30829}, {2, 4359, 19804}, {2, 4441, 350}, {2, 4452, 3672}, {2, 4461, 346}, {2, 4657, 17400}, {2, 4671, 4358}, {2, 4686, 3644}, {2, 4699, 3739}, {2, 4704, 27268}, {2, 4726, 4764}, {2, 4772, 4699}, {2, 4788, 4704}, {2, 4821, 1278}, {2, 4980, 42029}, {2, 5391, 32792}, {2, 16610, 31233}, {2, 16706, 17370}, {2, 17147, 28606}, {2, 17279, 17341}, {2, 17280, 17279}, {2, 17281, 17342}, {2, 17289, 17371}, {2, 17301, 17399}, {2, 17302, 4657}, {2, 17321, 17322}, {2, 17358, 17357}, {2, 17383, 17384}, {2, 17490, 3752}, {2, 17495, 4850}, {2, 17740, 32851}, {2, 17759, 2276}, {2, 19785, 19786}, {2, 19786, 19812}, {2, 19787, 19803}, {2, 19788, 19802}, {2, 19789, 19785}, {2, 19808, 19827}, {2, 19810, 19806}, {2, 19818, 19801}, {2, 19819, 19796}, {2, 19820, 19830}, {2, 19822, 19808}, {2, 19824, 19823}, {2, 19825, 19822}, {2, 19826, 19789}, {2, 19835, 19799}, {2, 20891, 20923}, {2, 20892, 30090}, {2, 24620, 16610}, {2, 25243, 26669}, {2, 26143, 25535}, {2, 26274, 3290}, {2, 26797, 27073}, {2, 26850, 27011}, {2, 26971, 25505}, {2, 27268, 4698}, {2, 28604, 17303}, {2, 28605, 321}, {2, 28808, 37758}, {2, 30998, 20530}, {2, 31130, 3263}, {2, 32791, 32803}, {2, 32792, 32804}, {2, 32793, 1267}, {2, 32794, 5391}, {2, 32797, 32801}, {2, 32798, 32802}, {2, 32799, 32795}, {2, 32800, 32796}, {2, 33150, 32774}, {2, 33168, 33113}, {2, 33931, 20947}, {2, 37759, 17720}, {2, 42029, 42034}, {2, 42034, 20942}, {3, 17864, 20926}, {3, 19844, 19841}, {3, 19845, 19842}, {3, 38906, 39556}, {4, 20235, 20914}, {4, 20914, 38298}, {5, 21403, 21579}, {6, 239, 3759}, {6, 894, 3758}, {6, 4361, 239}, {6, 4363, 894}, {6, 17118, 4363}, {6, 17119, 4361}, {6, 20172, 20179}, {6, 20181, 20172}, {6, 20234, 20444}, {6, 21776, 21751}, {6, 38301, 21776}, {7, 8, 69}, {7, 69, 320}, {7, 319, 17361}, {7, 1441, 85}, {7, 3212, 24471}, {7, 3262, 20930}, {7, 5564, 17360}, {7, 20895, 322}, {7, 31598, 7195}, {7, 31995, 42697}, {7, 32087, 8}, {7, 32099, 21296}, {7, 42696, 319}, {7, 42697, 7321}, {8, 69, 319}, {8, 85, 16284}, {8, 320, 17360}, {8, 377, 7270}, {8, 1441, 322}, {8, 1909, 24524}, {8, 2550, 32850}, {8, 4645, 3416}, {8, 7321, 17361}, {8, 20880, 85}, {8, 21296, 32099}, {8, 26135, 25311}, {8, 31995, 7}, {8, 32087, 42696}, {8, 33930, 20955}, {8, 34284, 1909}, {8, 42696, 5564}, {8, 42697, 320}, {9, 190, 17336}, {9, 3729, 190}, {9, 4384, 17277}, {9, 4659, 3729}, {9, 17277, 17335}, {9, 20236, 20927}, {10, 76, 6376}, {10, 1266, 4389}, {10, 1269, 18133}, {10, 1738, 4429}, {10, 3663, 4357}, {10, 3821, 32784}, {10, 4357, 5224}, {10, 4385, 341}, {10, 4389, 17250}, {10, 4398, 17249}, {10, 19950, 19951}, {10, 19951, 19969}, {10, 19957, 20006}, {10, 19958, 19957}, {10, 19962, 19950}, {10, 19963, 20001}, {10, 19967, 19971}, {10, 19968, 19954}, {10, 19995, 20005}, {10, 19996, 19968}, {10, 19999, 20000}, {10, 20000, 19963}, {10, 20004, 19962}, {10, 20888, 76}, {10, 21443, 1921}, {10, 23537, 16062}, {10, 33940, 33944}, {10, 33941, 33938}, {10, 34832, 25121}, {11, 21404, 21580}, {12, 21405, 21581}, {19, 63, 1760}, {19, 1760, 16568}, {19, 20883, 92}, {19, 20884, 20915}, {19, 21406, 21582}, {22, 21407, 21583}, {23, 21408, 21584}, {31, 20627, 20641}, {32, 21409, 21585}, {35, 21410, 21586}, {36, 21411, 21587}, {37, 192, 4664}, {37, 321, 4043}, {37, 1278, 3644}, {37, 3739, 2}, {37, 4681, 4704}, {37, 4688, 3739}, {37, 4698, 27268}, {37, 4699, 4751}, {37, 4718, 4681}, {37, 4726, 1278}, {37, 4739, 4699}, {37, 4740, 4764}, {37, 20891, 18137}, {37, 20923, 18743}, {37, 31238, 4698}, {38, 561, 17149}, {38, 2227, 3116}, {38, 17872, 17446}, {38, 20889, 561}, {38, 21020, 31330}, {39, 21412, 18050}, {40, 21413, 21588}, {41, 21414, 21589}, {42, 21415, 18138}, {43, 21416, 21590}, {44, 17348, 17349}, {44, 17351, 17350}, {44, 21417, 21591}, {45, 17259, 17260}, {45, 17262, 17261}, {45, 21418, 21592}, {48, 1958, 662}, {48, 17865, 21593}, {55, 20890, 20922}, {56, 21420, 21594}, {57, 11679, 14829}, {57, 20237, 20928}, {58, 21421, 21595}, {63, 92, 18750}, {63, 5271, 333}, {63, 14213, 92}, {63, 18655, 8822}, {63, 19591, 1755}, {63, 20883, 21582}, {65, 21422, 21596}, {66, 21423, 21597}, {69, 319, 17360}, {69, 320, 17361}, {69, 322, 16284}, {69, 1441, 20930}, {69, 3262, 322}, {69, 31995, 7321}, {69, 32087, 5564}, {69, 42696, 8}, {69, 42697, 7}, {76, 313, 30596}, {76, 1921, 21615}, {76, 3596, 313}, {76, 3821, 24731}, {76, 4389, 39995}, {76, 5224, 18133}, {76, 6376, 20943}, {76, 10009, 1921}, {76, 33937, 33938}, {76, 33940, 3673}, {76, 33941, 4385}, {76, 33945, 33944}, {81, 20896, 20929}, {82, 21424, 21598}, {82, 33760, 31}, {83, 21425, 20933}, {85, 322, 20930}, {85, 39126, 7}, {86, 274, 16709}, {86, 314, 30939}, {86, 3875, 17393}, {86, 4360, 1}, {86, 10436, 41847}, {86, 17160, 4360}, {86, 18697, 20932}, {87, 18194, 3248}, {87, 21426, 21599}, {88, 21427, 21600}, {89, 21428, 21601}, {92, 21582, 20915}, {99, 17886, 20951}, {100, 20901, 20940}, {101, 21429, 21602}, {105, 20628, 20642}, {110, 21430, 21603}, {115, 21431, 21604}, {141, 594, 3661}, {141, 1086, 3662}, {141, 3661, 17228}, {141, 3662, 17227}, {141, 3963, 18040}, {141, 4665, 594}, {141, 7263, 1086}, {141, 18143, 18150}, {141, 20913, 18143}, {142, 2321, 3912}, {142, 3912, 17234}, {142, 4431, 17233}, {142, 17233, 17241}, {145, 21432, 21605}, {150, 2893, 21276}, {171, 4362, 3769}, {187, 21434, 21607}, {190, 4384, 17335}, {190, 4858, 18151}, {190, 17277, 9}, {192, 3739, 4687}, {192, 4686, 4764}, {192, 4688, 4751}, {192, 4699, 2}, {192, 4704, 4681}, {192, 4740, 1278}, {192, 4772, 3739}, {192, 4788, 4718}, {192, 4821, 4686}, {192, 20171, 20173}, {192, 20891, 312}, {192, 20892, 20923}, {192, 27268, 4704}, {192, 30090, 18743}, {194, 21435, 21608}, {200, 21436, 21609}, {226, 3687, 4417}, {238, 3923, 4676}, {238, 20629, 20643}, {239, 894, 6}, {239, 4363, 3758}, {239, 17116, 894}, {239, 17117, 4361}, {239, 17120, 17121}, {239, 20234, 17788}, {239, 20432, 17789}, {244, 1978, 18149}, {244, 22167, 21330}, {256, 24478, 3764}, {257, 27447, 3863}, {264, 307, 18749}, {273, 307, 40702}, {273, 318, 264}, {274, 314, 86}, {274, 1930, 33943}, {274, 4647, 17762}, {274, 17143, 1}, {274, 17762, 41875}, {274, 32104, 17144}, {274, 33935, 304}, {280, 347, 6527}, {281, 27509, 37774}, {291, 20433, 20446}, {292, 20630, 20644}, {304, 4008, 1966}, {304, 17143, 4673}, {304, 31997, 41875}, {304, 39731, 1}, {306, 5249, 18134}, {307, 318, 33672}, {310, 31330, 17149}, {310, 40087, 561}, {312, 321, 42034}, {312, 18743, 20942}, {312, 19792, 19814}, {312, 19798, 19812}, {312, 19804, 2}, {312, 20923, 18137}, {312, 30090, 20923}, {312, 30758, 20947}, {312, 30829, 4358}, {312, 42029, 321}, {313, 1269, 76}, {313, 3264, 3596}, {313, 3663, 39995}, {313, 4357, 18133}, {313, 5224, 6376}, {314, 3875, 17144}, {314, 18697, 17762}, {314, 35550, 20932}, {319, 320, 69}, {319, 1441, 17791}, {319, 5564, 8}, {319, 7321, 320}, {319, 20930, 16284}, {320, 3262, 17791}, {320, 5564, 319}, {320, 7321, 7}, {321, 3263, 33931}, {321, 3739, 18137}, {321, 4358, 4671}, {321, 4359, 2}, {321, 4699, 20923}, {321, 4772, 30090}, {321, 4980, 28605}, {321, 16706, 40001}, {321, 19788, 19814}, {321, 19804, 18743}, {321, 19805, 19803}, {321, 19822, 19799}, {321, 20336, 42714}, {321, 20892, 20891}, {321, 20905, 1229}, {321, 21264, 20453}, {321, 24589, 4358}, {321, 25001, 346}, {321, 26234, 350}, {321, 26665, 17787}, {321, 27605, 25480}, {321, 27705, 27569}, {321, 28605, 42029}, {321, 32779, 42709}, {322, 20930, 17791}, {322, 39126, 320}, {326, 17858, 33808}, {326, 18695, 304}, {330, 20899, 20936}, {333, 32939, 63}, {335, 40848, 3862}, {341, 3673, 33780}, {344, 346, 17264}, {344, 20946, 18743}, {344, 37788, 20946}, {346, 1229, 312}, {346, 20905, 20946}, {349, 6734, 18738}, {350, 3263, 20947}, {350, 4441, 4479}, {350, 30758, 18743}, {350, 33931, 312}, {354, 3706, 10453}, {365, 20631, 20645}, {366, 20434, 20447}, {391, 4454, 144}, {561, 17149, 20945}, {594, 1086, 141}, {594, 3662, 17228}, {594, 3963, 4033}, {594, 7263, 3662}, {594, 20913, 18040}, {599, 4445, 17287}, {599, 7232, 17288}, {647, 21437, 21610}, {649, 20909, 20952}, {650, 21438, 21611}, {656, 17893, 20948}, {659, 21439, 21612}, {662, 18042, 48}, {662, 20902, 20941}, {667, 21440, 21613}, {668, 1111, 18159}, {669, 21441, 21614}, {672, 20632, 20646}, {673, 20431, 20445}, {693, 4411, 4828}, {798, 20910, 20953}, {799, 1109, 20939}, {850, 4467, 18155}, {894, 4361, 3759}, {894, 17116, 4363}, {894, 17117, 239}, {894, 17121, 17120}, {894, 20234, 17789}, {894, 21442, 17788}, {896, 20904, 20944}, {903, 17271, 17274}, {903, 20900, 20937}, {903, 32025, 17273}, {942, 5295, 10449}, {966, 4419, 17257}, {966, 17257, 17256}, {982, 1920, 6384}, {984, 1921, 6376}, {984, 21443, 21615}, {1001, 5695, 3685}, {1086, 3661, 17227}, {1086, 3963, 18143}, {1086, 4033, 18150}, {1086, 4665, 3661}, {1089, 7264, 3760}, {1089, 28611, 1698}, {1100, 4670, 17379}, {1100, 4852, 4393}, {1109, 20903, 799}, {1111, 3761, 20925}, {1111, 4692, 3761}, {1111, 4986, 668}, {1119, 7046, 32000}, {1211, 3782, 27184}, {1213, 4364, 17248}, {1213, 17246, 4364}, {1229, 20905, 37788}, {1229, 25001, 344}, {1229, 28974, 17264}, {1266, 3264, 39995}, {1266, 3663, 4398}, {1266, 4357, 3663}, {1266, 4967, 4357}, {1267, 5391, 2}, {1267, 32792, 32803}, {1267, 32793, 32801}, {1267, 32794, 32792}, {1267, 32795, 32799}, {1267, 32796, 32795}, {1267, 32797, 32793}, {1267, 32798, 5391}, {1267, 32802, 32804}, {1269, 3264, 313}, {1269, 3596, 30596}, {1269, 4357, 39995}, {1278, 3739, 4664}, {1278, 4688, 4687}, {1278, 4699, 37}, {1278, 4704, 4788}, {1278, 4739, 4751}, {1278, 4740, 4686}, {1278, 4772, 2}, {1278, 4821, 4740}, {1278, 20892, 312}, {1278, 27268, 4718}, {1281, 7061, 5989}, {1423, 20633, 20647}, {1441, 20895, 3262}, {1447, 7081, 183}, {1502, 4443, 24732}, {1502, 4446, 19567}, {1574, 3934, 27091}, {1575, 20440, 20453}, {1575, 21264, 2}, {1575, 28358, 27633}, {1580, 1582, 560}, {1631, 7087, 33801}, {1654, 4440, 6646}, {1654, 4643, 17328}, {1654, 6646, 4643}, {1654, 17276, 17329}, {1698, 3760, 18140}, {1733, 1930, 3403}, {1740, 1964, 36289}, {1740, 16571, 2234}, {1760, 20883, 20915}, {1760, 20884, 21582}, {1760, 21582, 18750}, {1836, 3966, 4388}, {1909, 20911, 20955}, {1909, 33930, 85}, {1920, 4087, 4485}, {1926, 3116, 17149}, {1928, 2085, 33788}, {1930, 4360, 20932}, {1930, 4647, 33935}, {1930, 17143, 17762}, {1930, 17445, 18051}, {1930, 17858, 18695}, {1930, 17859, 326}, {1930, 24325, 18157}, {1930, 39731, 18156}, {1931, 20634, 20648}, {1953, 1959, 18041}, {1958, 20902, 21593}, {1959, 17868, 1953}, {1964, 2234, 1740}, {1964, 17445, 1}, {2053, 20635, 20649}, {2054, 20636, 20650}, {2112, 20638, 20652}, {2234, 17445, 1964}, {2238, 24330, 24514}, {2275, 16720, 25918}, {2292, 31339, 31359}, {2319, 20438, 20451}, {2321, 3912, 17233}, {2321, 17234, 17240}, {2321, 24199, 17234}, {2325, 6666, 25101}, {2345, 4000, 2}, {2345, 16706, 17371}, {2345, 37756, 17370}, {2397, 28748, 28978}, {2580, 2581, 16568}, {2895, 17483, 32859}, {2968, 6356, 41005}, {3008, 17353, 17352}, {3008, 17355, 17353}, {3009, 20637, 20651}, {3112, 20898, 20934}, {3112, 33764, 31}, {3212, 20436, 20449}, {3218, 20887, 20920}, {3219, 20886, 20919}, {3262, 42697, 85}, {3263, 4441, 312}, {3263, 26234, 2}, {3264, 3663, 18133}, {3264, 4389, 6376}, {3290, 30748, 2}, {3416, 5880, 4645}, {3419, 41004, 2893}, {3589, 4395, 17366}, {3589, 7227, 17369}, {3589, 17366, 17367}, {3589, 17369, 17368}, {3596, 3718, 341}, {3596, 4357, 6376}, {3596, 4389, 18133}, {3596, 4398, 39995}, {3598, 7172, 15589}, {3644, 4664, 192}, {3644, 4687, 4664}, {3644, 4751, 37}, {3661, 3662, 141}, {3661, 3963, 17786}, {3661, 20913, 20917}, {3662, 3963, 20917}, {3662, 18040, 18150}, {3663, 4357, 4389}, {3663, 4967, 5224}, {3663, 5224, 17249}, {3663, 17861, 3673}, {3663, 24209, 17861}, {3663, 33937, 3718}, {3664, 3879, 17378}, {3666, 31993, 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