# Trace form for 224.6.a.i, downloaded from the LMFDB on 17 November 2025.
[0, 5, 0, -10, 0, 36, 0, 245, 0, 637, 0, 116, 0, 40, 0, 16, 0, -402, 0, -3582, 0, -490, 0, 472, 0, 9615, 0, 356, 0, 4754, 0, -10500, 0, 15864, 0, 1764, 0, 19642, 0, 10872, 0, 23398, 0, 22044, 0, 49476, 0, 16004, 0, 12005, 0, -45676, 0, 54246, 0, 53456, 0, 109556, 0, -74366, 0, 68316, 0, 31213, 0, 152568, 0, -26560, 0, 214720, 0, 93072, 0, 136098, 0, -124510, 0, 5684, 0, 96080, 0, 104801, 0, -145894, 0, 117352, 0, 168876, 0, 188554, 0, 1960, 0, 86296, 0, 74736, 0, -88146, 0, -260236, 0, 9524, 0, 234380, 0, 784, 0, -154552, 0, 233706, 0, 161084, 0, 48102, 0, -212336, 0, -87960, 0, -19698, 0, 119529, 0, -896092, 0, 86616, 0, 626512, 0, -463192, 0, -115854, 0, -175518, 0, 802304, 0, -753750, 0, -838482, 0, -710264, 0, 1085216, 0, -875304, 0, -24010, 0, -582210, 0, 260160, 0, -720706, 0, -689952, 0, -647080, 0, 874644, 0, 23128, 0, -36276, 0, -1524512, 0, -342684, 0, -195593, 0, -877934, 0, -996208, 0, 471135, 0, -887724, 0, -50584, 0, -661808, 0, 830176, 0, -767912, 0, -688136, 0, 17444, 0, 1191776, 0, 313694, 0, -2323024, 0, -1082978, 0, -1489932, 0, -1084720, 0, 232946, 0, 174728, 0, -520584, 0, -182744, 0, 1936016, 0, -1073248, 0, 732464, 0, -514500, 0, 383708, 0, -61600, 0, -581448, 0, -733673, 0, -1572654, 0, 2150248, 0, 777336, 0, 1033154, 0, -525760, 0, 80064, 0, 2353624, 0, 2196318, 0, 3248178, 0, 86436, 0, -33368, 0, 2069956, 0, -3368482, 0, 4915648, 0, -2118144, 0, 70506, 0, 962458, 0, 2488770, 0, -3082432, 0, 3745624, 0, 3467980, 0, 13744, 0, 250608, 0, 532728, 0, 7095676, 0, 1694646, 0, -10639972, 0, -105118, 0, -79662, 0, 4483728, 0, 1146502, 0, 2272255, 0, 1355444, 0, 1458252, 0, -1328432, 0, 5028304, 0, 3398544, 0, 1080156, 0, 5079728, 0, 2840888, 0, -2513726, 0, 1875736, 0, -3333544, 0, 1719702, 0, 2424324, 0, -1530282, 0, -6958712, 0, 2738592, 0, 6243068, 0, 7784920, 0, -2580676, 0, 784196, 0, 6930508, 0, -1593238, 0, -10562544, 0, 5890814, 0, 5482324, 0, 3155312, 0, 588245, 0, 1257536, 0, -6528692, 0, 4307136, 0, 7440944, 0, -5401830, 0, 13600704, 0, -2238124, 0, -1635616, 0, 5556173, 0, -17544466, 0, -2323832, 0, 1496872, 0, -7616586, 0, 2658054, 0, 1018238, 0, -21506624, 0, -11204256, 0, 4116404, 0, -11294992, 0, 7782228, 0, 2619344, 0, 19461660, 0, -6837654, 0, -20056080, 0, -14535948, 0, -8968864, 0, 6480240, 0, 5368244, 0, -4893042, 0, 661616, 0, -9546540, 0, 2476008, 0, 7673246, 0, 3699532, 0, -3643934, 0, 16141776, 0, -2772500, 0, -7383810, 0, -488394, 0, -16099292, 0, -14026102, 0, 3347484, 0, -25350080, 0, 3399368, 0, -2347146, 0, 28593664, 0, -6066944, 0, -3885144, 0, 1529437, 0, 1194400, 0, 115880, 0, -17429468, 0, -10987510, 0, 2669976, 0, -5807440, 0, 7475832, 0, 13735814, 0, -15546248, 0, 811416, 0, 18301720, 0, -10411488, 0, 2507002, 0, -1301440, 0, 13065304, 0, -15091376, 0, -36359162, 0, 2795830, 0, 2618348, 0, -2060992, 0, 10521280, 0, -21780856, 0, -16014584, 0, -21311352, 0, -1289856, 0, -4163348, 0, 29508112, 0, 4560528, 0, 11240128, 0, -23818008, 0, -17228672, 0, -1728424, 0, -31238126, 0, 2075328, 0, 6668802, 0, 3434392, 0, -17118720, 0, 25455312, 0, 21215240, 0, 4191478, 0, -6944918, 0, -6100990, 0, 28709512, 0, 29371053, 0, -33360686, 0, 4887264, 0, -14674608, 0, -21670752, 0, 278516, 0, 19014038, 0, 8696936, 0, -4218312, 0, 14638836, 0, 2599612, 0, 15027140, 0, 4707920, 0, 5582336, 0, -1680298, 0, -11874144, 0, -4887984, 0, -12455690, 0, 60271480, 0, 5135249, 0, 9951414, 0, -28824812, 0, 250560, 0, 42241192, 0, 29231226, 0, 30390052, 0, -7148806, 0, 14732952, 0, 29643544, 0, -54890490, 0, 37250888, 0, 21916292, 0, -35628846, 0, 5750248, 0, -2511384, 0, -11109784, 0, 36485770, 0, -19714208, 0, -12729036, 0, 23372624, 0, 8274924, 0, 24682864, 0, 6739930, 0, -57266752, 0, -5911194, 0, -13111822, 0, 47106496, 0, 9239146, 0, 46447445, 0, -15122000, 0, -5708516, 0, 1366720, 0, 10006448, 0, -22490672, 0, 96040, 0, 51288400, 0, 30592334, 0, -9609946, 0, 24679200, 0, 14467748, 0, 10498280, 0, 4228504, 0, -7785478, 0, 14296144, 0, 10809554, 0, -3746892, 0, 19749532, 0, -8621584, 0, 3662064, 0, -5032944, 0, -30551216, 0, 10958384, 0, 2368370, 0, 20127916, 0, 26801312, 0, -4319154, 0, 35074004, 0, -43731744, 0, 37183016, 0, 19312152, 0, 24379216, 0, 13344962, 0, -12751564, 0, 20786448, 0, 48249700, 0, -38473860, 0, 26533850, 0, -3097356, 0, -99603872, 0, 466676, 0, 2450410, 0, -29796400, 0, -20111680, 0, 24802240, 0, -44817376, 0, 61779964, 0, 11484620, 0, 33099668, 0, -81244426, 0, -34241140, 0, -51345215, 0, -28025368, 0, 43248172, 0, 38416, 0, -1948384, 0, 30649164, 0, 2580192, 0, -23889344, 0, 30834104, 0, 12422378, 0, -7573048, 0, -28327976, 0, -7952788, 0, 4702000, 0, 50289242, 0, -63802816, 0, -71073986, 0, 11451594, 0, -80162584, 0, 11566024, 0, -8137018, 0, 65544300, 0, -91450852, 0, -35034700, 0, 7893116, 0, -45188948, 0, -10189184, 0, -14241272, 0, -81246472, 0, 15975578, 0, 71356096, 0, 2356998, 0, 16415608, 0, 4846176, 0, -26540336, 0, -12246856, 0, 11593786, 0, -17532344, 0, -10404464, 0, -64341688, 0, 20145654, 0, 66128522, 0, -52435584, 0, 2361776, 0, -63588168, 0, -4310040, 0, -46565274, 0, 2857848, 0, -109536536, 0, -19947944, 0, -1158436, 0, -73658284, 0, -965202, 0, 46207904, 0, -63813424, 0, 43232316, 0, 20386355, 0, 72604988, 0, 42416044, 0, 5856921, 0, 10775572, 0, 34239312, 0, -2083592, 0, -57625904, 0, -41761906, 0, 7360174, 0, -43908508, 0, 12952592, 0, 21997112, 0, 109741378, 0, -11968448, 0, -39616400, 0, -157552578, 0, 4244184, 0, -36638078, 0, -43329824, 0, -17152526, 0, 13611480, 0, -97222384, 0, -9579380, 0, 30699088, 0, -19060924, 0, -109193448, 0, 8077840, 0, -68291008, 0, -21997832, 0, 52851588, 0, -22696408, 0, 19113752, 0, 87939864, 0, 56656404, 0, -23537456, 0, 23657352, 0, 14312208, 0, -5676846, 0, -69697464, 0, 111409940, 0, 42779776, 0, 34775982, 0, -11246548, 0, -53358082, 0, -8600382, 0, -103519600, 0, 53454176, 0, -12986158, 0, 32099716, 0, 69064172, 0, -102759952, 0, 39312896, 0, -72871260, 0, -34783696, 0, 50829908, 0, -40008878, 0, 75984448, 0, 199273904, 0, -36933750, 0, 100317653, 0, 67842600, 0, 53381592, 0, -64716120, 0, 44754808, 0, 33262178, 0, -41085618, 0, -193945848, 0, 55710706, 0, 90407848, 0, 151811098, 0, 69738668, 0, -95458600, 0, -34802936, 0, -45547840, 0, -37255784, 0, -75179832, 0, -144368000, 0, 49352572, 0, -7474968, 0, 53175584, 0, 75152828, 0, -29157824, 0, 96713980, 0, 15205838, 0, 60210276, 0, 86770808, 0, -42889896, 0, 163514646, 0, -80075152, 0, 111954520, 0, -147520864, 0, 146440498, 0, -52888096, 0, -1176490, 0, 70220000, 0, 26963714, 0, 264112912, 0, 55813816, 0, 44986076, 0, 2147208, 0, -28528290, 0, -92883168, 0, 91751464, 0, 22894434, 0, -87298136, 0, -72491192, 0, 23755216, 0, 12747840, 0, -109400084, 0, 97340986, 0, 79576880, 0, -31651776, 0, 45001528, 0, 113217708, 0, -35314594, 0, 50290276, 0, -2151756, 0, 123153232, 0, 89309288, 0, 94175424, 0, -116435514, 0, -33807648, 0, -88060520, 0, 178335937, 0, -12802250, 0, 28540978, 0, 81295968, 0, -10461286, 0, -31706920, 0, 48759664, 0, 180586112, 0, -7188400, 0, -161615400, 0, -53154480, 0, -95710384, 0, 42857556, 0, -245387936, 0, -12383458, 0, 196496292, 0, 16151996, 0, 60240258, 0, 165562456, 0, 1133272, 0, 67575274, 0, 294272784, 0, -30825936, 0, -186610256, 0, 165213656, 0, -150291552, 0, -1777524, 0, -19427920, 0, 95071576, 0, 37590552, 0, 97373544, 0, 34428820, 0, -201433078, 0, -74701088, 0, 71039728, 0, 92353120, 0, 22684912, 0, -79977280, 0, -99677912, 0, -38482148, 0, -16791516, 0, -121656920, 0, -180476416, 0, 427304844, 0, -66113984, 0, -75715454, 0, 199643128, 0, -9584057, 0, 38919232, 0, -74146296, 0, -157093860, 0, -49875832, 0, -94549342, 0, 53774832, 0, -43018766, 0, -81542744, 0, 63106174, 0, 128615972, 0, 121502600, 0, 110336096, 0, -153907200, 0, -48814192, 0, -316603566, 0, 65162928, 0, 97314674, 0, -16110256, 0, 42119536, 0, 118015112, 0, 23085615, 0, -25182796, 0, -129464322, 0, 60150756, 0, -286078694, 0, -300282800, 0, 133163260, 0, -43498476, 0, 35638700, 0, 146075000, 0, -3402224, 0, 89854104, 0, -112433534, 0, -152315362, 0, -2478616, 0, -39852304, 0, 104114252, 0, 148344410, 0, -41780928, 0, -41848236, 0, -248792256, 0, -32428592, 0, -61665168, 0, 156106664, 0, -244844112, 0, -83126276, 0, 111431772, 0, -62973276, 0, 40678624, 0, -306702084, 0, -314961400, 0, 385319904, 0, 9181534, 0, 174614182, 0, -125163616, 0, -37627688, 0, -102805698, 0, -114048156, 0, 80108612, 0, -6843008, 0, -82615720, 0, -187201422, 0, -33718664, 0, -246422784, 0, -118339464, 0, 155699712, 0, 143053968, 0, 203724760, 0, -117908994, 0, 854756, 0, -53514254, 0, 103139816, 0, 83577584, 0, -398227128, 0, -406437936, 0, 13329824, 0, 58397024, 0, -116647024, 0, 8077582, 0, 71065120, 0, -382018632, 0, -12752916, 0, -3418016, 0, 15371006, 0, -98358384, 0, 131519136, 0, -100597120, 0, -141909280, 0, 136702646, 0, -351523384, 0, -113828176, 0, 171042728, 0, -199701941, 0, 147859732, 0, -122360918, 0, -29761504, 0, -138721578, 0, -53065922, 0, 67650482, 0, 145471512, 0, -164546056, 0, 25497812, 0, -63958224, 0, -125300592, 0, -73006668, 0, -193669984, 0, -32315616, 0, 120591608, 0, 151078116, 0, -28000560, 0, -157289176, 0, -53151280, 0, 118855690, 0, 140787980, 0, -353367656, 0, 210459312, 0, -102359264, 0, 441505184, 0, 11414354, 0, -19331432, 0, 203987516, 0, -145398270, 0, -54004446, 0, 137243832, 0, -24173494, 0, 8561672, 0, 56374328, 0, -71052472, 0, 141278184, 0, 46855376, 0, -91152532, 0, -138518320, 0, -25508616, 0, 249397204, 0, -156395526, 0, -97155456, 0, 154396368, 0, -51806418, 0, 502914784, 0, -8954456, 0, 29286488, 0, -61096756, 0, 368308848, 0, -305177496, 0, 52170800, 0, 71484614, 0, 94864784, 0, -145729688, 0, 235958674, 0, 301507114, 0, 46015296, 0, 126017568, 0, -181861714, 0, -52589152, 0, -208930098, 0, -67083296, 0, 41739888, 0, -122568912, 0, 38995264, 0, -164678524, 0, 35890736, 0, 229507304, 0, 227751936, 0, 82912144, 0, -291455844, 0, 509462992, 0, 63614860, 0, -25210500, 0, 241529919, 0, -306452092, 0, -62571404, 0, -70512024, 0, 240957464, 0, 6296906, 0, 18801692, 0, -179695152, 0, 46015100, 0, 124802106, 0, 273314752, 0, -9521824, 0, 224620384, 0, -3018400, 0, -22255170, 0, -525673120, 0, -74239214, 0, -32706784, 0, 237942672, 0, 380625236, 0, -28490952, 0, -22483292, 0, 173850504, 0, -173396816, 0, 325244644, 0, 58145202, 0, -383804408, 0, -35949977, 0, 383761804, 0, 419186716, 0, 571278224, 0, -43856008, 0, -146479880, 0, 58259430, 0, -77060046, 0, -73502536, 0, -245900200, 0, -244306528, 0, -28313322, 0, -276828176, 0, 379474538, 0, 105362152, 0, 387816448, 0, -72671008, 0, -101012886, 0, 611721160, 0, 76689676, 0, -351042048, 0, 38089464, 0, -64662520, 0, -49002766, 0, -319376652, 0, 336404848, 0, -136879594, 0, 82803984, 0, 50624546, 0, -386561984, 0, 214655040, 0, 105897380, 0, 35373752, 0, 358118232, 0, 148723592, 0, -25762240, 0, 89269472, 0, 196403540, 0, -119718928, 0, -62756088, 0, -125886096, 0, 178400686, 0, 3923136, 0, 241259680, 0, 4815176, 0, 278906328, 0, 240100876, 0, 235711444, 0, -142161068, 0, 115327576, 0, 455438880, 0, 488926528, 0, -77230032, 0, 236633223, 0, -69821320, 0, 162173784, 0, 107619582, 0, 371937372, 0, -152593372, 0, 51509420, 0, -93151872, 0, -122980034, 0, 184186654, 0, 159160722, 0, 247863304, 0, -510914496, 0, 20874196, 0, 22877862, 0, -373035772, 0, 77725592, 0, 4235364, 0, 37766088, 0, -213741920, 0, 163851114, 0, -184671512, 0, -32119680, 0, 213723744, 0, -1635032, 0, 602050476, 0, -78913854, 0, -558641360, 0, 314601614, 0, 115113384, 0, -71204576, 0, 101427844, 0, -405531720, 0, 51559444, 0, -215023984, 0, -64433752, 0, -251329662, 0, 83433376, 0, -165055618, 0, -11517408, 0, 455012316, 0, -137184056, 0, -447714648, 0, -516815120, 0, 113462408, 0, 240866752, 0, -493897938, 0, -62340368, 0, 66535770, 0, 403009404, 0, 404828272, 0, -303440320, 0, -103789056, 0, -424867780, 0, 89344998, 0, -573030956, 0, -317171184, 0, 247861264, 0, -242731472, 0, 3454794, 0, 19952318, 0, -121795060, 0, -24199676, 0, 374344856, 0, -260866144, 0, 248315498, 0, 47160442, 0, 117215184, 0, -57048512, 0, -573562736, 0, -198221792, 0, 57420408, 0, -108653722, 0, 121949730, 0, 598939528, 0, -49326920, 0, -851944448, 0, 920264224, 0, -35874096, 0, 613970524, 0, -151039168, 0, 290395356, 0, -138285176, 0, -209706884, 0, 79566665, 0, -534261164, 0, -557456260, 0, 183535576, 0, -481002284, 0, -299433956, 0, -522857124, 0, 381871384, 0, -187886664, 0, 56072170, 0, 169931020, 0, -79930752, 0, -468253702, 0, -762711850, 0, -112520354, 0, -79074276, 0, 592758248, 0, 673456, 0, -551875024, 0, -106206392, 0, 269184970, 0, 167783168, 0, -498854304, 0, 473910064, 0, 12279792, 0, 455665712, 0, 362410286, 0, -329721664, 0, -397631488, 0, -657953878, 0, -191095744, 0, 26103672, 0, -486965418, 0, -654322816, 0, 226163392, 0, 584733008, 0, -56347580, 0, 579947108, 0, 347688124, 0, 843765272, 0, -661977604, 0, 116800090, 0, -430257026, 0, -32291856, 0, 240109072, 0, 83037654, 0, 565112968, 0, -57628576, 0, -422096296, 0, -670125648, 0, -174688288, 0, -115884816, 0, -521358628, 0, 336426400, 0, 14962504, 0, -624698308, 0, 256737964, 0, 264482000, 0, -1148162352, 0, -5150782, 0, -571126976, 0, -141376280, 0, -847841632, 0, -47930000, 0, -118563496, 0, -436105042, 0, -3903438, 0, 662728704, 0, -495993928, 0, -561355578, 0, -274499808, 0, -95850240, 0, -155442706, 0, 219702672, 0, -49109414, 0, 59660360, 0, 900994816, 0, -31309956, 0, -122188936, 0, 429486264, 0, 56178598, 0, 253224332, 0, -74972640, 0, -716571232, 0, 231636274, 0, -149811332, 0, -420104720, 0, 111340495, 0, -384143229, 0, -281770404, 0, 11111796, 0, 681885960, 0, -207647200, 0, -263196768, 0, 66416756, 0, 159022776, 0, -118104056, 0, -1640051230, 0, -421302744, 0, 961823280, 0, 492039184, 0, 71454348, 0, 144212038, 0, -747290016, 0, 111031430, 0, -159913312, 0, 640956328, 0, 421392888, 0, -65093168, 0, -287304304, 0, -168722214, 0, -815223308, 0, -156883500, 0, -666662834, 0, -82440480, 0, 246386896, 0, -374019038, 0, 107503340, 0, -898763664, 0, 436562512, 0, 166185626, 0, 731648120, 0, 166528656, 0, 1296082064, 0, 48157042, 0, -675465306, 0, 659700160, 0, -209084548, 0, 600737912, 0, 52927644, 0, 72558568, 0, -220303992, 0, 383073266, 0, 696522624, 0, 511158100, 0, -241976224, 0, 248906672, 0, 626168088, 0, 885850672, 0, 282738012, 0, -64359222, 0, 606307886, 0, -480111872, 0, 139203512, 0, 503555466, 0, -1932791424, 0, 329200092, 0, 49312992, 0, -171322304, 0, 330093180, 0, -123172574, 0, 77647288, 0, -537395354, 0, -635230960, 0, -462215176, 0, 24215296, 0, 829429206, 0, 91911064, 0, 539052712, 0, 467757432, 0, -202769682, 0, 237545744, 0, 97448340, 0, 1528855236, 0, -163343656, 0, 503976772, 0, 773557944, 0, -240139980, 0, 835540928, 0, -514418424, 0, -410186160, 0, 84265398, 0, -770911632, 0, -792383104, 0, -41127472, 0, 532102592, 0, -704175424, 0, -1365045494, 0, 118791876, 0, 406232544, 0, 721125317, 0, 249068544, 0, -177123822, 0, -19703184, 0, 1524695688, 0, -74983818, 0, 941174886, 0, 315981832, 0, 943650014, 0, 73705692, 0, 223426448, 0, 160414064, 0, -340976888, 0, -1087172448, 0, 257926202, 0, 235590980, 0, 622951800, 0, -43606530, 0, -109151800, 0, 134191008, 0, -255568536, 0, 452361208, 0, 420234304, 0, 664889696, 0, 348336584, 0, -101564082, 0, 305910332, 0, 22623064, 0, -920340480, 0, -1167051510, 0, 151543274, 0, -342903716, 0, -105287878, 0, 381461080, 0, 1321908928, 0, -317898424, 0, 289092298, 0, 726326676, 0, 732139064, 0, 172746404, 0, -126453124, 0, 438531808, 0, 532948606, 0, -731620672, 0, 838080550, 0, -1153747094, 0, -860334112, 0, 38425604, 0, 297084024, 0, -260373788, 0, -671338816, 0, -829964448, 0, -600186406, 0, 1202070720, 0, 339594892, 0, 1081951936, 0, 426378080, 0, -193209136, 0, 274110856, 0, -471274160, 0, 1248722524, 0, -78068662, 0, 186915786, 0, 546618096, 0, 993241752, 0, 362514932, 0, 1071797904, 0, 206945152, 0, -517564656, 0, -114849916, 0, 1138623146, 0, -655479416, 0, -12395640, 0, 164434864, 0, 317092236, 0, 288649886, 0, 307967780, 0, -84202844, 0, 1085938432, 0, 903175808, 0, 239020544, 0, -29826650, 0, 268633876, 0, -981600704, 0, -201967294, 0, -116833808, 0, -872733794, 0, 123575028, 0, 693746200, 0, 154610288, 0, 422427710, 0, -1414741048, 0, -711387726, 0, -1267454176, 0, 606970928, 0, -211435668, 0, 28824005, 0, 819453064, 0, 143080752, 0, -353473100, 0, 887666736, 0, 1032722242, 0, -1258174320, 0, 61619264, 0, -724793590, 0, 775406316, 0, -707919824, 0, 286286040, 0, -29629686, 0, -931604364, 0, -319905908, 0, 309176384, 0, -1376269500, 0, 1017530064, 0, 161782126, 0, -187299024, 0, 854076034, 0, 211049664, 0, -503619168, 0, -181492336, 0, 747684992, 0, 1249718544, 0, -1406252896, 0, -1557262864, 0, 364606256, 0, -615970008, 0, 859225152, 0, 776225140, 0, -488021072, 0, 174105778, 0, -1352180176, 0, -264689670, 0, 579562966, 0, 723867644, 0, 498258128, 0, 140411872, 0, -138567552, 0, 903297472, 0, 666434496, 0, -460993824, 0, -1310535908, 0, -368367496, 0, -1086111546, 0, -690966352, 0, 704012392, 0, -109668076, 0, 178335512, 0, -108927560, 0, -1486139232, 0, 446115472, 0, 732839600, 0, -88951092, 0, -80145184, 0, 946025408, 0, -339086920, 0, -153073120, 0, 1391695830, 0, -1285320742, 0, -1917496516, 0, 272252477, 0, -1366091118, 0, 492438872, 0, 86839828, 0, -901147888, 0, -1005900808, 0, -834485938, 0, -859678834, 0, -1282516536, 0, -368429064, 0, 143981090, 0, 257827694, 0, -286860520, 0, 421980544, 0, -113867768, 0, 194101750, 0, 872086456, 0, 74323056, 0, 76708936, 0, -886557792, 0, 124678880, 0, 73346728, 0, 542724820, 0, 157331048, 0, -122131100, 0, -1000265268, 0, 252096098, 0, 53996900, 0, -373212714, 0, 16021056, 0, -905627408, 0, 157180768, 0, -1052370104, 0, 286898946, 0, 1819352944, 0, 130244646, 0, 314879536, 0, -1127348633, 0, 1721006116, 0, -1102122008, 0, 605009280, 0, -395319298, 0, 49893662, 0, 265178112, 0, -842810096, 0, -100332482, 0, -1018804040, 0, 1021374688, 0, -289525424, 0, -1053824576, 0, -302964576, 0, 437972736, 0, -335407700, 0, -42183818, 0, 1089865728, 0, -1801398164, 0, -549008544, 0, -184966780, 0, -187443428, 0, -2121220220, 0, -323489384, 0, -1741634272, 0, 1830542968, 0, 201703796, 0, -1026522448, 0, 160275706, 0, 436801830, 0, -389136520, 0, -203932648, 0, 1706190544, 0, -553454608, 0, -1004813824, 0, 624074960, 0, 88089896, 0, -379605832, 0, -519500076, 0, 246627536, 0, 381329172, 0, -54447632, 0, 635546368, 0, 252382820, 0, -728260434, 0, 2106539408, 0, -815475468, 0, 128347856, 0, -667707024, 0, 1529167000, 0, 730558180, 0, -487643432, 0, -1201666792, 0, -1820551186, 0, 953621340, 0, -911546240, 0, -537736998, 0, 599144048, 0, -2047661248, 0, 812434684, 0, -700513760, 0, -335045046, 0, 821704126, 0, 318782144, 0, -1070495290, 0, -299714168, 0, -529226480, 0, -1194640848, 0, -982747920, 0, -1377513488, 0, -1565908198, 0, 394578800, 0, 695721880, 0, 271691488, 0, 477969308, 0, -712261452, 0, -844270102, 0, 2648460800, 0, -1498108912, 0, -530273480, 0, -633294760, 0, 341468242, 0, -439474336, 0, 676591896, 0, -87714240, 0, 1541733768, 0, 1261686744, 0, 157236724, 0, -656921618, 0, 317531760, 0, -430134192, 0, -2341798856, 0, 1468470776, 0, -152410956, 0, 532686536, 0, -2272956516, 0, 263043956, 0, 1242220608, 0, 531902302, 0, 1463169816, 0, 837802382, 0, -126830754, 0, -655710016, 0, -239759058, 0, 48523675, 0, -97231236, 0, 3387180, 0, -1032099856, 0, 603691238, 0, -53440554, 0, 32419184, 0, -1498470912, 0, 120538962, 0, 468324072, 0, -1043659392, 0, -1230179540, 0, 742883282, 0, -467780460, 0, 1337505010, 0, 1886555832, 0, -1013993160, 0, 514380468, 0, 970575640, 0, 1062021104, 0, 121324392, 0, 587093904, 0, -203193562, 0, 828750512, 0, 841358770, 0, 13088988, 0, 348720808, 0, 375989054, 0, -1763771456, 0, -382597088, 0, -749018800, 0, -2063692536, 0, 458627322, 0, -3176838816, 0, 181277068, 0, -442270816, 0, 60816864, 0, 1257747414, 0, -131345112, 0, 1177973852, 0, 646690816, 0, -178552766, 0, 281212992, 0, 384240064, 0, 1583841486, 0, -2267078592, 0, -84678880, 0, 901623696, 0, 790947024, 0, -2314226788, 0, 814979098, 0, 462983008, 0, -393665132, 0, 603723488, 0, 540758252, 0, -135852500, 0, -422013312, 0, 910239456, 0, 2071635160, 0, -524405960, 0, 1945493112, 0, 596627836, 0, -361806690, 0, -601793328, 0, -694371344, 0, 1067601254, 0, -67211376, 0, 454529896, 0, 899477984, 0, -23931306, 0, 888628312, 0, -69017944, 0, 271086342, 0, -6995680, 0, -74362508, 0, -1580344896, 0, -788865308, 0, -2667184268, 0, 542845512, 0, 3772504768, 0, 1139854578, 0, 317671670, 0, 278481040, 0, -687278998, 0, 61764328, 0, 560270796, 0, -598898304, 0, 160808520, 0, 623257632, 0, 1322460376, 0, 164026716, 0, -1973097472, 0, 372891868, 0, 216212384, 0, 1072008178, 0, -67779324, 0]