# Trace form for 230.6.a.i, downloaded from the LMFDB on 19 April 2024.
[0, 6, 24, 15, 96, -150, 60, 106, 384, 899, -600, 321, 240, 527, 424, -375, 1536, -660, 3596, 2749, -2400, 6002, 1284, -3174, 960, 3750, 2108, 15372, 1696, 3337, -1500, 31094, 6144, 15087, -2640, -2650, 14384, 27037, 10996, 38528, -9600, 33608, 24008, 17024, 5136, -22475, -12696, 16864, 3840, 6002, 15000, 5719, 8432, -8475, 61488, -8025, 6784, 9566, 13348, 7899, -6000, 25437, 124376, -13333, 24576, -13175, 60348, -25517, -10560, -7935, -10600, 17204, 57536, 760, 108148, 9375, 43984, 102330, 154112, 66972, -38400, 115874, 134432, 58523, 96032, 16500, 68096, -70854, 20544, 38406, -89900, 25111, -50784, 130338, 67456, -68725, 15360, 82861, 24008, -2973, 60000, -139121, 22876, -80725, 33728, -150050, -33900, -204419, 245952, -23705, -32100, -518180, 27136, -439791, 38264, 79350, 53392, 258728, 31596, -142231, -24000, -277887, 101748, 735, 497504, -93750, -53332, -86968, 98304, 317272, -52700, -414134, 241392, -108451, -102068, -384300, -42240, 94689, -31740, 505527, -42400, -541406, 68816, -568872, 230144, -83425, 3040, -164786, 432592, -285501, 37500, -208587, 175936, -680770, 409320, -777350, 616448, -219603, 267888, -820938, -153600, -56074, 463496, 723621, 537728, -377175, 234092, -1892468, 384128, 744919, 66000, -2137198, 272384, -17869, -283416, 66250, 82176, -1043918, 153624, 59972, -359600, -365391, 100444, -10117, -203136, -675925, 521352, 217533, 269824, -45493, -274900, -1488270, 61440, 1550090, 331444, -963200, 96032, -925755, -11892, 163294, 240000, -3717432, -556484, 643043, 91504, -840200, -322900, -475571, 134912, 1254636, -600200, -2294995, -135600, -4067521, -817676, -425600, 983808, -1948332, -94820, -559856, -128400, -3397338, -2072720, 1294478, 108544, 561875, -1759164, 173342, 153056, -599842, 317400, -1299501, 213568, 1418926, 1034912, -421600, 126384, -5186012, -568924, 5493947, -96000, -1983252, -1111548, 4342326, 406992, -150050, 2940, 251065, 1990016, 3135530, -375000, -1080845, -213328, -169809, -347872, -142975, 393216, -2237150, 1269088, 2743425, -210800, -1422759, -1656536, 4787162, 965568, 211875, -433804, -63360, -408272, 5899963, -1537200, 4993930, -168960, 6415561, 378756, 200625, -126960, 103622, 2022108, 10879303, -169600, 6667622, -2165624, 1221761, 275264, -239150, -2275488, 1790281, 920576, 8686262, -333700, 8554409, 12160, 1535535, -659144, -197475, 1730368, -5190549, -1142004, -278783, 150000, 1118816, -834348, -1619112, 703744, -635925, -2723080, -1121303, 1637280, 4167439, -3109400, 4809302, 2465792, -1097034, -878412, 333325, 1071552, 218875, -3283752, 9810342, -614400, -1855512, -224296, 7599278, 1853984, 329375, 2894484, -7274092, 2150912, 6555430, -1508700, 3215053, 936368, -3654255, -7569872, 637925, 1536512, 5441797, 2979676, 5098674, 264000, 1742484, -8548792, -138949, 1089536, 198375, -71476, 38357, -1133664, 1394903, 265000, 16304579, 328704, -1861560, -4175672, -430100, 614496, -17676897, 239888, 7869488, -1438400, 6637613, -1461564, 3838227, 401776, -19000, -40468, -7479279, -812544, 9907938, -2703700, 14038107, 2085408, -4212566, 870132, -234375, 1079296, -15674298, -181972, 9217033, -1099600, -6366872, -5953080, -729851, 245760, -2558250, 6200360, -7099032, 1325776, 3410453, -3852800, 349140, 384128, -6894964, -3703020, -1674300, -47568, -859945, 653176, -4442237, 960000, 5644158, -14869728, 1085635, -2225936, -2896850, 2572172, -1680798, 366016, 4115016, -3360800, 8942160, -1291600, -18148189, -1902284, -1463075, 539648, -8777592, 5018544, -4276154, -2400800, 515723, -9179980, 3033368, -542400, -412500, -16270084, 405804, -3270704, -3166551, -1702400, -1117494, 3935232, 3018442, -7793328, 1771350, -379280, -1454221, -2239424, -6892523, -513600, -14149327, -13589352, 7260281, -8290880, -960150, 5177912, -24335052, 434176, -5579478, 2247500, -1229553, -7036656, -13012773, 693368, -627775, 612224, 5120299, -2399368, -11990669, 1269600, -9877572, -5198004, 8708114, 854272, -3258450, 5675704, -19048871, 4139648, 4345477, -1686400, -5402044, 505536, -9339240, -20744048, 1718125, -2275696, -27602157, 21975788, 5661836, -384000, 747262, -7933008, -3175058, -4446192, -2071525, 17369304, -8145408, 1627968, -1905778, -600200, -12593373, 11760, -1294271, 1004260, 74325, 7960064, -36297517, 12542120, 18981117, -1500000, -8585096, -4323380, -6732032, -853312, 3478025, -679236, -7370822, -1391488, 12211972, -571900, -17994234, 1572864, -23034373, -8948600, 2018125, 5076352, -10979592, 10973700, 36169887, -843200, -6154144, -5691036, 20234340, -6626144, 3751250, 19148648, -9909751, 3862272, 1679046, 847500, -15416005, -1735216, -24220806, -253440, 5110475, -1633088, -19867610, 23599852, 8575266, -6148800, 240998, 19975720, 4365240, -675840, 592625, 25662244, 42607157, 1515024, 25468091, 802500, 13037912, -507840, 9608416, 414488, 12954500, 8088432, -34602395, 43517212, 44706064, -678400, 16348992, 26670488, -2243979, -8662496, 10994775, 4887044, 45331217, 1101056, 3481960, -956600, 11891015, -9101952, -17389962, 7161124, -1983750, 3682304, -269500, 34745048, 17431448, -1334800, -15734305, 34217636, 16133688, 48640, -6468200, 6142140, 10000693, -2636576, -6355041, -789900, -17618821, 6921472, 3492128, -20762196, 3555775, -4568016, -5457906, -1115132, 12672373, 600000, 22529038, 4475264, -41090561, -3337392, 6947175, -6476448, 43065696, 2814976, -21575034, -2543700, -6740004, -10892320, 12330312, -4485212, -18375, 6549120, -47540230, 16669756, 15194069, -12437600, -8131788, 19237208, -14234076, 9863168, 2343750, -4388136, 52785495, -3513648, -39712671, 1333300, 24658894, 4286208, -29374574, 875500, 2174200, -13135008, 33217221, 39241368, 6423814, -2457600, -25358632, -7422048, 14051669, -897184, -7931800, 30397112, 121892, 7415936, -29363208, 1317500, 33289867, 11577936, 469747, -29096368, 10353350, 8603648, 6653466, 26221720, -4884862, -6034800, 17474215, 12860212, -39326079, 3745472, 2711275, -14617020, -1765273, -30279488, -28741876, 2551700, -51832485, 6146048, 3613828, 21767188, 9607500, 11918704, -9479865, 20394696, 43748810, 1056000, -13648236, 6969936, -29910489, -34195168, -2367225, -555796, 40446446, 4358144, -39977052, 793500, -21619118, -285904, -34380423, 153428, -12638175, -4534656, 81950228, 5579612, 43565620, 1060000, -39468269, 65218316, 3053346, 1314816, 13535150, -7446240, -24816313, -16702688, -6299389, -1720400, -43808532, 2457984, -16448726, -70707588, 14221800, 959552, 1106890, 31477952, 7580118, -5753600, 15573032, 26550452, -15901548, -5846256, 2085625, 15352908, 37885664, 1607104, 31799585, -76000, -22324616, -161872, 41133881, -29917116, 4119650, -3250176, -38961258, 39631752, 47823651, -10814800, -147368159, 56152428, -8192665, 8341632, 7137525, -16850264, 46155481, 3480528, 45323771, -937500, -10773112, 4317184, -34987274, -62697192, 5214675, -727888, 4548335, 36868132, -7981023, -4398400, -12965844, -25467488, -24827293, -23812320, 17019250, -2919404, 27028974, 983040, -21797794, -10233000, 6725292, 24801440, -63618476, -28396128, 19433750, 5303104, 62825380, 13641812, -21068744, -15411200, 9907755, 1396560, -128583936, 1536512, 5490075, -27579856, 33167593, -14812080, 94316441, -6697200, 11611203, -190272, 72996292, -3439780, 20523450, 2612704, -31315659, -17768948, -19540476, 3840000, -23793978, 22576632, -36616998, -59478912, 1401850, 4342540, 73821026, -8903744, -11506238, -11587400, 49528105, 10288688, -71533520, -6723192, -18090525, 1464064, 71161688, 16460064, 57037537, -13443200, -35651388, 35768640, 57184254, -5166400, 9429375, -72592756, 735011, -7609136, -33617945, -5852300, -33617076, 2158592, -143150318, -35110368, 47311700, 20074176, 124173765, -17104616, -54376396, -9603200, 62141293, 2062892, -36981056, -36719920, -18622975, 12133472, 14548627, -2169600, -18288610, -1650000, -14302573, -65080336, -25499553, 1623216, 53429950, -13082816, 46975726, -12666204, 41086241, -6809600, -56810253, -4469976, -70732554, 15740928, 446725, 12073768, 53636993, -31173312, -3392112, 7085400, -48499214, -1517120, 9858971, -5816884, -1656250, -8957696, 91539587, -27570092, -143265582, -2054400, 6105854, -56597308, -2619321, -54357408, 26097950, 29041124, 6174088, -33163520, -127619476, -3840600, -47570034, 20711648, -89543030, -97340208, -1499300, 1736704, -20381312, -22317912, 33816691, 8990000, 195855, -4918212, 86162632, -28146624, 9134775, -52051092, 2434169, 2773472, -78575679, -2511100, 28561602, 2448896, 35576520, 20481196, 252925, -9597472, -15110070, -47962676, -23500312, 5078400, -85357335, -39510288, -125338110, -20792016, 16898125, 34832456, 172870137, 3417088, 54527211, -13033800, 66788967, 22702816, -13420386, -76195484, -5438325, 16558592, 10603909, 17381908, 52843520, -6745600, -36738143, -21608176, -17778632, 2022144, 1137325, -37356960, -1358947, -82976192, 28514266, 6872500, -38420794, -9102784, -76483731, -110408628, 37206750, 87903152, 91288746, 22647344, -86022003, -1536000, 118947696, 2989048, 91255167, -31732032, -38752250, -12700232, -45747860, -17784768, 179614947, -8286100, -109480307, 69477216, 78091649, -32581632, 24080000, 6511872, 10946970, -7623112, -23131656, -2400800, -44296582, -50373492, 44946630, 47040, 23143875, -5177084, 40385922, 4017040, -9005696, 297300, 27232850, 31840256, -55307720, -145190068, -4082350, 50168480, -75008910, 75924468, -19433936, -6000000, 45359649, -34340384, 91868381, -17293520, 92935800, -26928128, 31613820, -3413248, -35292852, 13912100, -18706872, -2716944, -86492889, -29483288, -16076075, -5565952, -37259493, 48847888, 112644300, -2287600, 38759667, -71976936, 96941985, 6291456, 21005000, -92137492, -91221368, -35794400, 42884851, 8072500, 8662680, 20305408, 21649050, -43918368, 11889275, 43894800, -83409053, 144679548, -35594867, -3372800, 258013539, -24616576, -205937601, -22764144, -31365900, 80937360, 63759028, -26504576, 99632668, 15005000, -1947126, 76594592, 273959600, -39639004, 57374875, 15449088, 25147670, 6716184, -145402830, 3390000, -2383237, -61664020, -104768632, -6940864, 101688025, -96883224, 19421721, -1013760, -71989435, 20441900, -70262184, -6532352, 32960305, -79470440, 10640000, 94399408, 57286022, 34301064, 160585560, -24595200, -8921056, 963992, 124956994, 79902880, 48708300, 17460960, 62293734, -2703360, -121142695, 2370500, -82140211, 102648976, 73618463, 170428628, 13996400, 6060096, 48024166, 101872364, -6685407, 3210000, 169555460, 52151648, 3110552, -2031360, 84933450, 38433664, 113349789, 1657952, -147074543, 51818000, 143011170, 32353728, -55589100, -138409580, -32361950, 174068848, -31770991, 178824256, -119278638, -2713600, 169777946, 65395968, 9771337, 106681952, -14046875, -8975916, -3175058, -34649984, -5095332, 43979100, -69333324, 19548176, 112180083, 181324868, -4333550, 4404224, -46661179, 13927840, 26329309, -3826400, 90946125, 47564060, -42969210, -36407808, 14996050, -69559848, 9874027, 28644496, -19831576, -7935000, -242392170, 14729216, 171064572, -1078000, 32487525, 138980192, -92311356, 69725792, -191783124, -5339200, 157596520, -62937220, 18807162, 136870544, -35473150, 64534752, 1088413, 194560, 36694492, -25872800, -59843130, 24568560, -3025351, 40002772, 10540000, -10546304, -48643470, -25420164, -7898282, -3159600, -132456701, -70475284, -8812910, 27685888, 129650300, 13968512, 142822348, -83048784, -26256367, 14223100, 230101787, -18272064, 94284700, -21831624, -137348675, -4460528, -297561149, 50689492, 100770138, 2400000, 64524574, 90116152, 13161970, 17901056, 49581300, -164362244, -32662158, -13349568, 253182067, 27788700, 474406, -25905792, 51576772, 172262784, -108558150, 11259904, -243459788, -86300136, 4483275, -10174800, -28788828, -26960016, -27195058, -43569280, 3751250, 49321248, -317725484, -17940848, -80678015, -73500, 1588491, 26196480, 243834522, -190160920, -6276625, 66679024, 120051845, 60776276, 1963842, -49750400, 81560448, -32527152, -145285920, 76948832, -78388250, -56936304, -249305392, 39452672, 118474548, 9375000, -230865707, -17552544, -70978590, 211141980, 27021125, -14054592, -154656388, -158850684, 113825980, 5333200, 117299644, 98635576, -282444108, 17144832, 4245225, -117498296, -132303763, 3502000, 103471240, 8696800, 163630967, -52540032, -52526054, 132868884, 3574375, 156965472, 111721182, 25695256, -79740832, -9830400, 215846923, -101434528, 42114115, -29688192, 55928750, 56206676, -195615603, -3588736, 66504078, -31727200, 69435568, 121588448, -242249536, 487568, -68585625, 29663744, -160181260, -117452832, 39876880, 5270000, 60411250, 133159468, -42368917, 46311744, 35568975, 1878988, -158893650, -116385472, -369006993, 41413400, -5060414, 34414592, -175444668, 26613864, -119679050, 104886880, -19181550, -19539448, -192020407, -24139200, -27716784, 69896860, -157079225, 51440848, -5296875, -157304316, -74398790, 14981888, 382621210, 10845100, 89615676, -58468080, -92604904, -7061092, 1584000, -121117952, 78386988, -114967504, -342731600, 10206800, -155736852, -207329940, -170587228, 24584192, -147499075, 14455312, -143465062, 87068752, -320884, 38430000, -239254700, 47674816, -26552394, -37919460, -124848250, 81578784, -4178571, 174995240, -110172029, 4224000, 208420397, -54592944, -120921286, 27879744, -160389025, -119641956, -70328086, -136780672, 72753951, -9468900, 191752066, -2223184, 24461790, 161785784, -5015625, 17432576, -243522187, -159908208, -148621988, 3174000, -141904109, -86476472, 209588196, -1143616, -2590550, -137521692, 34799556, 613712, -78179946, -50552700, -44217816, -18138624, -46511600, 327800912, -271982575, 22318448, -82363386, 174262480, -87209930, 4240000, -416652338, -157873076, -13456173, 260873264, -166690550, 12213384, -17901056, 5259264, -96071464, 54140600, -494319093, -29784960, -331406065, -99265252, -30544025, -66810752, -174497537, -25197556, 53898600, -6881600, 162550164, -175234128, 95035774, 9831936, 5978750, -65794904, -195241292, -282830352, 132469789, 56887200, -490934352, 3838208, -162967285, 4427560, -44757025, 125911808, -280282278, 30320472, 73013746, -23014400, -65110638, 62292128, 259564576, 106201808, -217156550, -63606192, -460501415, -23385024, 7053157, 8342500, 47023759, 61411632, 339484779, 151542656, -213860225, 6428416, -99321252, 127198340, -206095899, -304000, -34602236, -89298464, 162781947, -647488, -38388375, 164535524, 248034836, -119668464, 196589184, 16478600, 83278578, -13000704, 213588738, -155845032, 4936875, 158527008, -468628495, 191294604, 424312542, -43259200, 164624712, -589472636, 419467745, 224609712, 129763725, -32770660, 161182744, 33366528, -60994040, 28550100, -67920549, -67401056, -128707282, 184621924, 6969575, 13922112, -49416146, 181295084, 414705997, -3750000, -32316140, -43092448, -402616720, 17268736, -27970400, -139949096, 214297794, -250788768, 509645390, 20858700, 253578002, -2911552, 760159920, 18193340, 40477800, 147472528, 31381355, -31924092, -88000967, -17593600, 804658358, -51863376, -28547559, -101869952, 15898125, -99309172, 9382790, -95249280, 89205960, 68077000, -336018725, -11677616, 7374478, 108115896, 28032575, 3932160, 328263765, -87191176, -494853472, -40932000, 13498493, 26901168, 503810700, 99205760, -104185975, -254473904, 120063831, -113584512, -245304944, 77735000, -353424630, 21212416, 265946952, 251301520, -120232550, 54567248, 449139687, -84274976, 188690131, -61644800, 49687582, 39631020, 479558330, 5586240, 27425850, -514335744, -48408112, 6146048, 144870978, 21960300, -72120779, -110319424, -38949226, 132670372, -8333125, -59248320, 43045952, 377265764, -242870749, -26788800, 421861073, 46444812, 202372588, -761088, -5471875, 291985168, 4197615, -13759120, -4657826, 82093800, 175284160, 10450816, 70388794, -125262636, -245258550, -71075792, -47059486, -78161904, 780663387, 15360000, 240917866, -95175912, 201619858, 90306528, 46387800, -146467992, 298604770, -237915648, 518964800, 5607400, -567832612, 17370160, 171329416, 295284104, -189981950, -35614976, 153224871, -46024952, 380112693, -46349600, -263433013, 198112420, 647970390, 41154752, -8234375, -286134080, -143497114, -26892768, 423404164, -72362100, -101307716, 5856256, -9100916, 284646752, 181852300, 65840256, 330993451, 228150148, -266108922, -53772800, 380020282, -142605552, -570346803, 143074560, -163885750, 228737016, 833745155, -20665600, 581003411, 37717500, 27249142, -290371024, 1122547050, 2940044, -80376325, -30436544, -352670530, -134471780, 150933676, -23409200, -102067035, -134468304, 115420362, 8634368, 91356375, -572601272, 390367037, -140441472, -157831427, 189246800, -482582404, 80296704, 115912683, 496695060, -15948125, -68418464, -426526976, -217505584, -402040, -38412800, 308951572, 248565172, 738578712, 8251568, -136044925, -147924224, -233219182, -146879680, 223931152, -74491900, 399698424, 48533888, 134194517, 58194508, -127466850, -8678400, 165981990, -73154440, 34598551, -6600000, 566497253, -57210292, -657017868, -260321344, -43562100, -101998212, -144367114, 6492864, -294521355, 213719800, -399072929, -52331264, 403244847, 187902904, 3473725, -50664816, -52572347, 164344964, 224775918, -27238400, 789084288, -227241012, 209819443, -17879904, -4959375, -282930216, -174848490, 62963712, -200038612, 1786900, -241256712, 48295072, -377522817, 214547972, -958925, -124693248, 717734684, -13568448, 528284404, 28341600, -43751261, -193996856, 532316376, -6068480, -34872575, 39435884, -285985033, -23267536, -135463482, -6625000, 261230623, -35830784, 405983668, 366158348, -407614475, -110280368, -215933153, -573062328, -197966238, -8217600, 244214385, 24423416, -337021904, -226389232, 46539000, -10477284, 181473859, -217429632, -874647512, 104391800, -54132570, 116164496, -141218033, 24696352, 10752500, -132654080, 963620, -510477904, -167275482, -15362400, -131366547, -190280136, 143861270, 82846592, 441922425, -358172120, 601347843, -389360832, -175971407, -5997200, -107908520, 6946816, 135461142, -81525248, -196737200, -89271648, -419032809, 135266764, -183062200, 35960000, -32748658, 783420, -469332524, -19672848, -165940325, 344650528, -21287612, -112586496, -419449596, 36539100, -180571265, -208204368, 467590376, 9736676, -95955675, 11093888, -35428188, -314302716, -748278491, -10044400, 1057275336, 114246408, -165245816, 9795584, 475000, 142306080, -706513437, 81924784, 155284409, 1011700, 240301476, -38389888, 1185574980, -60440280, 186981975, -191850704, -289285512, -94001248, 83468706, 20313600, -272784805, -341429340, 356079080, -158041152, -247698450, -501352440, -35937421, -83168064, 118002006, 67592500, -535695521, 139329824, -751698268, 691480548, -350952675, 13668352, 436951554, 218108844, -268786302, -52135200, -311509118, 267155868, -61297346, 90811264, 105314150, -53681544, 417925693, -304781936, -624630360, -21753300, -495879630, 66234368, -513994175, 42415636, 5859375, 69527632, -185710518, 211374080, 25452241, -26982400, 471635487, -146952572, 487888953, -86432704, 391857450, -71114528, -512464004, 8088576, -241310783, 4549300, 120496346, -149427840, -202338222, -5435788, -230425825, -331904768, -323039190, 114057064, -332405205, 27490000, -56842184, -153683176, 6435027, -36411136, 159171800, -305934924, 183971855, -441634512, -30958667, 148827000, -786715911, 351612608, 246357064, 365154984, 18246275, 90589376, -697643995, -344088012, 519240092, -6144000, 597685095, 475790784, 389588680, 11956192, 63956250, 365020668, 586558618, -126928128, 75867876, -155009000, 387022769, -50800928, 11373825, -182991440, 177475800, -71139072, -428981223, 718459788, 34126272, -33144400, -339177612, -437921228, -229635567, 277908864, -85261325, 312366596, 419435016, -130326528, -356081211, 96320000, 341069660, 26047488, 260852836, 43787880, -8728500, -30492448, -983993704, -92526624, 777164940, -9603200, 780728085, -177186328, -686555120, -201493968, 172374100, 179786520, 706942380, 188160, -117364200, 92575500, 352106416, -20708336, -471294665, 161543688, 41857500, 16068160, 459344424, -36022784, -360372695, 1189200, -88976651, 108931400, 278562039, 127361024, 21498625, -221230880, -651673115, -580760272, -1326201093, -16329400, -288933162, 200673920, 341662122, -300035640, 111055925, 303697872, 472158639, -77735744, -1116902062, -24000000, 37481766, 181438596, 8440986, -137361536, -141103950, 367473524, -382196266, -69174080, -1239586926, 371743200, -183424703, -107712512, -700926732, 126455280, -27140875, -13652992, 31866610, -141171408, 251556560, 55648400, -78030792, -74827488, -122496054, -10867776, 72421250, -345971556, 167054021, -117933152, -1233159171, -64304300, 542536926, -22263808, -1480989076, -149037972, 42019950, 195391552, -343583075, 450577200, -299521970, -9150400, 354422080, 155038668, 848767140, -287907744, -102875400, 387767940, -20316774, 25165824, -927769406, 84020000, 385600533, -368549968, -579945705, -364885472, -223554000, -143177600, 151729458, 171539404, 928610359, 32290000, -630522472, 34650720, -67378240, 81221632, 453704725, 86596200, 222909096, -175673472, -506835801, 47557100, -28648447, 175579200, 620790632, -333636212, 36576875, 578718192, -756483145, -142379468, -474408216, -13491200, -21094768, 1032054156, -13484961, -98466304, 219439800, -823750404, 722254498, -91056576, 220412, -125463600, -483005094, 323749440, -13283719, 255036112, 106903850, -106018304, 294134840, 398530672, -47910153, 60020000, -280856862, -7788504, -824325552, 306378368, -12893075, 1095838400, 673677272, -158556016, -136691084, 229499500, -436230320, 61796352, 602012265, 100590680, -75834200, 26864736, -543096224, -581611320, -594439709, 13560000, -400853226, -9532948, -378448866, -246656080, 10312500, -419074528, 163064805, -27763456, -633167567, 406752100, 330773981, -387532896, -853731296, 77686884, -10145100, -4055040, 619406212, -287957740, -68948802, 81767600, -298780706, -281048736, 1117947368, -26129408, 79163775, 131841220, -174944244, -317881760, -438487952, 42560000, 479730857, 377597632, -756095380, 229144088, 27937350, 137204256, -85252960, 642342240, 169909246, -98380800, 535264102, -35684224, -787269641, 3855968, -75461050, 499827976, -183393003, 319611520, 359801680, 194833200, -152931228, 69843840, 138448065, 249174936, -44283750, -10813440, -420754628, -484570780, 103685971, 9482000, 697982211, -328560844, -285914865, 410595904, 36355525, 294473852, 634953981, 681714512, -909683214, 55985600, 777353616, 24240384, -415535792, 192096664, 172313075, 407489456, -499321160, -26741628, 1377561750, 12840000, 1186851717, 678221840, 809459445, 208606592, 353733175, 12442208, 1239580323, -8125440, 16063556, 339733800, -590570940, 153734656, -1052579939, 453399156, -181507025, 6631808, -565727466, -588298172, -206116059, 207272000, 66149125, 572044680, -1264541489, 129414912, 24003750, -222356400, 1685514722, -553638320, -1234283674, -129447800, -43833469, 696275392, 686322180, -127083964, 608376300, 715297024, -109397097, -477114552, 289786793, -10854400, 589129592, 679111784, -902510527, 261583872, 139486950, 39085348, 417079710, 426727808, 620259018, -56187500, -1431999392, -35903664, -626475646, -12700232, 30738825, -138599936, 356239124, -20381328, -618772846, 175916400, 494245, -277333296, 319505020, 78192704, 325319325, 448720332, 185618175, 725299472, -1634306489, -17334200, -346894736, 17616896, -803660808, -186644716, 15694375, 55711360, 1572717, 105317236, -129551160, -15305600, 1591557415, 363784500, 285434748, 190256240, -128007475, -171876840, 153045536, -145631232, 337861339, 59984200, 638756112, -278239392, -407549806, 39496108, 299766725, 114577984, 31441571, -79326304, 683432818, -31740000, -1970861922, -969568680, -424209476, 58916864, 246939300, 684258288, 567710582, -4312000, -254663852, 129950100, -171960674, 555920768, -694871220, -369245424, -217702850, 278903168, -77524389, -767132496, -800779496, -21356800, -125899356, 630386080, 73595009, -251748880, 81461250, 75228648, 598125732, 547482176, -182314452, -141892600, -453573923, 258139008, -886481493, 4353652, 476221775, 778240, 683829987, 146777968, -360628209, -103491200, -327250223, -239372520, 792147774, 98274240, -108636925, -12101404, 637056003, 160011088, -1957510041, 42160000, -813191674, -42185216, 687104827, -194573880, 135051100, -101680656, -309450507, -31593128, -881539367, -12638400, -457486226, -529826804, -476016921, -281901136, 233481000, -35251640, 2103633148, 110743552, 42703525, 518601200, -48011221, 55874048, -548866812, 571289392, -42953125, -332195136, -254872204, -105025468, 1803857617, 56892400, 696565247, 920407148, 1133960198, -73088256, 690053925, 377138800, -43204923, -87326496, 288579878, -549394700, -490362090, -17842112, 401554518, -1190244596, -141545900, 202757968, -2127836962, 403080552, 869919600, 9600000, 450500594, 258098296, -32745888, 360464608, -18681550, 52647880, 363900205, 71604224, 129238896, 198325200, 461546037, -657448976, 657431492, -130648632, 79376450, -53398272, 850614426, 1012728268, -256315549, 111154800, 1121860159, 1897624, -573024798, -103623168, 51788125, 206307088, -186800805, 689051136, 626952286, -434232600, 26532747, 45039616, 991240750, -973839152, 203635200, -345200544, 931760891, 17933100, -231070647, -40699200, -614773299, -115155312, 1199192567, -107840064, 47644450, -108780232, 637808470, -174277120, -296020860, 15005000, -1935214040, 197284992, -946110528, -1270901936, 314834325, -71763392, 844683733, -322712060, 1077944265, -294000, 108137651, 6353964, 1379223826, 104785920, 32356775, 975338088, -16958389, -760643680, -1183062108, -25106500, 728553384, 266716096, 1041759414, 480207380, -1858125, 243105104, 211514723, 7855368, 1358979597, -199001600, -191392062, 326241792, -410910768, -130108608, 907437925, -581143680, 1736990898, 307795328, -654643950, -313553000, 1166305944, -227745216, -1052768810, -997221568, -474527925, 157810688, -1184667480, 473898192, 399370223, 37500000, 502199369, -923462828, -424849369, -70210176, 214627400, -283914360, 12539945, 844567920, 761903710, 108084500, 169833733, -56218368, -119015482, -618625552, 168300800, -635402736, -1067658780, 455303920, 1327309434, 21332800, 71363588, 469198576, 1047586959, 394542304, -86950625, -1129776432, 595442574, 68579328, 932034032, 16980900, -882086035, -469993184, 1131836178, -529215052, 184270550, 14008000, 987084280, 413884960, 485616851, 34787200, -583236571, 654523868, 124717064, -210160128, -305299300, -210104216, 300836879, 531475536, -760725005, 14297500, -1103862828, 627861888, 274117220, 446884728, 449855850, 102781024, -24371135, -318963328, -1811876522, -39321600, 588188988, 863387692, 484745070, -405738112, 575859325, 168456460, 1640706441, -118752768, 544873131, 223715000, -1616858344, 224826704, 1329438165, -782462412, -50453125, -14354944, -669512994, 266016312, -297459819, -126908800, -603704496, 277742272, 600249894, 486353792, 274489800, -968998144, 982185658, 1950272, -874682832, -274342500, 1274554884, 118654976, -1360061594, -640725040, -904247175, -469811328, 621991998, 159507520, 232649439, 21080000, -195097500, 241645000, -152580981, 532637872, 153853600, -169475668, -252177396, 185246976, 997990192, 142275900, -965003318, 7515952, 408562732, -635574600, -505858500, -465541888, 195062758, -1476027972, 1185683537, 165653600, 640707805, -20241656, 845952168, 137658368, -93781250, -701778672, -137155543, 106455456, 561325386, -478716200, -1225986687, 419547520, -253895897, -76726200, 247743775, -78157792, -1395946959, -768081628, -157717722, -96556800, 1132478246, -110867136, -130496696, 279587440, -41976150, -628316900, 319851582, 205763392, -830999932, -21187500, -140777412, -629217264, -790763944, -297595160, 385400125, 59927552, -249209470, 1530484840, -811798568, 43380400, 136241138, 358462704, -270400860, -233872320, 605520150, -370419616, -55438382, -28244368, 378981403, 6336000, -437311094, -484471808, -560653899, 313547952, -127761875, -459870016, -432769861, -1370926400, -1023068442, 40827200, 400030443, -622947408, 548789135, -829319760, 496690250, -682348912, 1327546046, 98336768, -255025900, -589996300, -136867112, 57821248, -931388801, -573860248, -214381650, 348275008, -965577696, -1283536, 1295600513, 153720000, -541437222, -957018800, -1685148786, 190699264, -6024950, -106209576, 61103860, -151677840, -131112104, -499393000, 209048470, 326315136, -1238038954, -16714284, -109131000, 699980960, 17642097, -440688116, -781470162, 16896000, 195889944, 833681588, -326616570, -218371776, -14815625, -483685144, -2668981470, 111518976, 967707926, -641556100, -637406127, -478567824, -1911091564, -281312344, -1065178925, -547122688, 75240199, 291015804, 828145434, -37875600, 1676994099, 767008264, -1202439572, -8892736, -636702275, 97847160, 689178063, 647143136, 452902141, -20062500, -2229733548, 69730304, -540239224, -974088748, -325947800, -639632832, -60547308, -594487952, -83003652, 12696000, -2179951332, -567616436, -134668871, -345905888, -240210400, 838352784, 1293723669, -4574464, -1634237301, -10362200, 272629372, -550086768, -1215071832, 139198224, -323862500, 2454848, -1523214806, -312719784, 733179154, -202210800, 129042331, -176871264, 147002223, -72554496, 865059875, -186046400, -705372124, 1311203648, -100334537, -1087930300, -841861514, 89273792, -568493343, -329453544, -1117651600, 697049920, -2180126451, -348839720, 1152350856, 16960000, -1281258191, -1666609352, -585202502, -631492304, -408724800, -53824692, 637101542, 1043493056, 968939439, -666762200, -1670452692, 48853536, -1225612606, -71604224, 56099475, 21037056, 887376533, -384285856, -600586968, 216562400, -275179912, -1977276372, -1105589901, -119139840, -274869375, -1325624260, -324621234, -397061008, -388815, -122176100, 576551091, -267243008, -40985234, -697990148, -1133280425, -100790224, 229001205, 215594400, 1031750400, -27526400, -489438986, 650200656, 204747768, -700936512, -87049000, 380143096, -870164036, 39327744, 2207284578, 23915000, 490900003, -263179616, 782909734, -780965168, -297275375, -1131321408, -647109828, 529879156, 1228252605, 227548800, 595499238, -1963737408, 265248694, 15352832, 434749050, -651869140, 1651109984, 17710240, -397198882, -179028100, 536635368, 503647232, -1709929233, -1121129112, 49593750, 121281888, -232020315, 292054984, 2153039909, -92057600, 82480128, -260442552, 844060176, 249168512, 6737500, 1038258304, -238805246, 424807232, 679445466, -868626200, -76991390, -254424768, 619072719, -1842005660, -435786200, -93540096, -851746340, 28212628, 1459840036, 33370000, -1754212460, 188095036, 346793987, 245646528, 393357625, 1357939116, 2645538333, 606170624, 610799177, -855440900, -416539540, 25713664, -215025199, -397285008, -403342200, 508793360, -461962262, -824383596, 808992886, -1216000, 46006072, -138408944, 2697436892, -357193856, 161705000, 651127788, 137467192, -2589952, 2780270041, -153553500, 335553436, 658142096, -2100399570, 992139344, -250017325, -478673856, 837561024, 786356736, 565430894, 65914400, 741726347, 333114312, -2437914889, -52002816, 158876025, 854354952, -453063777, -623380128, 1304233083, 19747500, 381841254, 634108032, -268902630, -1874513980, 440470525, 765178416, -834027988, 1697250168, 1183287858, -173036800, 1096146486, 658498848, -400971496, -2357890544, -87303200, 1677870980, -167836888, 898438848, 1453070488, 519054900, 246214772, -131082640, 257766907, 644730976, -88894375, 133466112, 94318786, -243976160, -653452713, 114200400, -412129092, -271682196, 1512291804, -269604224, 136447650, -514829128, 1840073360, 738487696, -813992268, 27878300, -3277343358, 55688448, 167165750, -197664584, -316809325, 725180336, 41385993, 1658823988, 1916297066, -15000000]