# Trace form for 387.8.a.a, downloaded from the LMFDB on 08 June 2024.
[0, 10, 1, 0, 371, 122, 0, -2052, 927, 0, -10032, 8888, 0, -16432, 28408, 0, -26669, 48122, 0, -56146, 88940, 0, -100626, 236336, 0, -135016, 166748, 0, -259060, 248818, 0, -430970, -69493, 0, 445522, -298982, 0, -261254, -257662, 0, -671432, 126814, 0, -795070, 620022, 0, -809038, -627080, 0, -1256116, 83117, 0, -3674204, 1612384, 0, -4732974, 4301484, 0, -7268516, 3442492, 0, -5217214, 2500324, 0, -4657369, 1224166, 0, -6810926, 3563486, 0, -2745858, 13935120, 0, -13743720, 1752692, 0, -15817594, 7685750, 0, -9007608, 13641024, 0, -6329026, 21779128, 0, -13177392, -79507, 0, -13214750, 1895364, 0, -16439838, -9614510, 0, 3404276, 16861514, 0, -20434472, -35731457, 0, 37852815, -4603648, 0, -7226778, -28945956, 0, 45698228, -13975930, 0, -8805884, -74383246, 0, 23105800, -18506330, 0, -24218828, -14093104, 0, 37179172, -5959116, 0, 36734814, -99492236, 0, -733700, -11034546, 0, -38192426, -69180713, 0, 49229002, -59511288, 0, -3968142, -115758584, 0, 15141126, -144307286, 0, -16400214, -170654018, 0, -21527556, -128422728, 0, 144312262, -187738174, 0, 53896312, -76457084, 0, 23460006, -231458066, 0, 32159606, -82787372, 0, -21121326, -175176104, 0, -23086412, -190295044, 0, -173650142, -182578678, 0, -166888138, -100542498, 0, -94773554, -227118016, 0, -29497097, 25080022, 0, -152341946, -290697918, 0, -64130918, -112474060, 0, 22245022, -387189294, 0, -181165238, -152743388, 0, 32557518, -333034156, 0, 114750774, -83024844, 0, -296032198, -348826256, 0, -20358603, -44131986, 0, -396632142, -580488125, 0, 205793884, -29988058, 0, -529133740, 180247888, 0, -127203944, 153243930, 0, -358294650, -534051488, 0, -447089726, -9699854, 0, -396061020, 334636328, 0, 1526854, 375875358, 0, -332804452, -279141680, 0, -268865372, -100188932, 0, -1080650326, -646484544, 0, -511686644, 385463418, 0, -1460966, 170956908, 0, 109495400, 37393064, 0, -1040502104, 83021099, 0, -136204712, 367399048, 0, -120195862, 575004932, 0, -728934938, -691564348, 0, -727560122, 873074616, 0, -540529789, 612658946, 0, -1032096536, -68980294, 0, -154293508, -807888888, 0, -1218872872, -1091357842, 0, -810205624, 1011766736, 0, -551062326, -838662394, 0, 961890700, 754020758, 0, -897597206, -2107183140, 0, 1563187066, -45880402, 0, 590905202, 571152508, 0, 1666337850, 178245648, 0, -2006790120, -2084103242, 0, 460068214, -398378514, 0, -531318620, -1554539800, 0, 1640627706, -246597038, 0, 163148364, -1534196122, 0, 1266713882, 1099377540, 0, 339411318, -1634871554, 0, 4077718320, -864001546, 0, -1296915516, -993497784, 0, 3285153648, -365921872, 0, -890575566, -2458013100, 0, 2239510312, -1810036560, 0, 1068945526, -1193154550, 0, 2918573146, 1160124646, 0, 186287114, 745275798, 0, 299983164, 1352423176, 0, -357530920, -636967991, 0, -1496130496, -1192801506, 0, 1440726966, -73702989, 0, 2576228528, 197706368, 0, 245740446, 794675998, 0, 1626707670, 1568394874, 0, 426343284, 140898190, 0, 2403175092, 1531022844, 0, 264451248, 652192132, 0, 2505859590, 779332652, 0, -533566436, 1198201474, 0, -337541552, 1671048764, 0, -210425226, 2553430444, 0, 2780920536, 1558024518, 0, 606947998, 727037998, 0, -661874604, 1701108384, 0, 1305561406, -786266970, 0, -2625509672, 731911406, 0, 2801826638, 2201855449, 0, -1855535360, -347941864, 0, -715734094, 3637181850, 0, -1559784253, 193549826, 0, -472391162, 1718282392, 0, 4546253914, 2539677784, 0, 3835832488, 7085106124, 0, -5053225256, 599870836, 0, 833009814, 1189409992, 0, -2444393702, -506808040, 0, -903157626, 7889640802, 0, 1474536736, 3256050114, 0, 2129672776, 6795351466, 0, 797614224, 5876351218, 0, 1130259212, 4067630896, 0, -996190176, 4111081552, 0, -2700403522, 6596199566, 0, -4107513360, 452879942, 0, 5494913408, 12538264856, 0, 521423324, -3137985470, 0, 3126681282, 5590100824, 0, 3317336032, 1998235050, 0, 739655552, 11558257606, 0, 1652423568, 3574980930, 0, 2591965148, 10511263676, 0, -395158764, 4911766304, 0, -1798895608, 11255321222, 0, 1212101340, -706658216, 0, 1871578616, 7511480760, 0, -8699035636, 4345284950, 0, -548814948, 13703845066, 0, -6774268559, 6102225166, 0, -3628590260, 7158566200, 0, 2222156978, -924676992, 0, -2325114052, 15330450698, 0, 291096820, -6308114772, 0, -5513846146, 6768259422, 0, 232248686, 2792579120, 0, 6000590904, 11344546652, 0, -11164693160, -1400225172, 0, -5694232896, 10587694779, 0, 35114908, -10757406304, 0, -5048950574, 7255215488, 0, 9358031958, -8844389034, 0, -4611075386, 8971909812, 0, 8653822132, -8927437002, 0, 6014619160, 9972493944, 0, -13361230222, -10591844534, 0, 614526870, -6760476104, 0, -4813714220, -11319615742, 0, 11022195362, -13577597048, 0, -1414883298, -31113040230, 0, 845958550, -14104568368, 0, 19182354516, -8358387378, 0, 3071381424, 1550516200, 0, 22714947356, -23473083928, 0, 1306459024, -13319032470, 0, 4753868850, -27692782710, 0, -1173700046, 4597371576, 0, -6847995692, -23322802118, 0, -734869906, 2209980162, 0, 1218963964, 10580316532, 0, 14221129928, 10221018435, 0, 16451384482, -28272742022, 0, 6097640766, -2847055314, 0, 14298956880, -7637392284, 0, -7017987820, -2192262468, 0, -1515412528, -29750276020, 0, 4013544124, 6260922534, 0, 7148632984, -2341243030, 0, 5384399652, -2258634856, 0, 13273668462, -31739166920, 0, -7603976420, 13395975466, 0, 4695965344, -1502649958, 0, 16993086504, 24291746932, 0, 8363204474, -19927744066, 0, 2768575356, -23385383824, 0, -16795387148, -11083068708, 0, 4024662682, -11715224130, 0, 9507088556, -14127338484, 0, -5740832538, 6917965624, 0, -473771568, -10739013668, 0, -5874754334, -5089653994, 0, 6759699944, -22442421328, 0, -7822349888, -8899698320, 0, 1409981644, -9613527640, 0, 11642396708, 8542930486, 0, -45297082274, -14245871298, 0, 21517554112, -20859968918, 0, -16364190942, 7576605414, 0, -28188444908, -20013261254, 0, -38018791022, -18045198166, 0, -12040728496, 21618680588, 0, -1004951012, -21142041576, 0, 7026488928, 25296580508, 0, -19815073213, -22122720932, 0, -4266808614, 14210327184, 0, -47085064408, 11114610594, 0, -37697553410, -8254055318, 0, 2120372183, -26986681486, 0, -31076938984, -15524873284, 0, -52059686352, 48907825948, 0, -6462487422, -5550891544, 0, -34115118922, -13969186374, 0, -2486402376, 20379687518, 0, 187588098, 23435660140, 0, 389698096, -49592535180, 0, 398601086, -56375190226, 0, -11318617626, 15840680276, 0, -17157411002, 1245257194, 0, 3750368360, 10109318375, 0, 16068967340, -30094800508, 0, -40448039508, -20045996346, 0, 324568720, -3826035854, 0, 28890292562, 42192245780, 0, -6078966190, -24888815298, 0, -32535182186, 51626508384, 0, -2700617440, 7015261200, 0, 43385304648, -19241500720, 0, 18850024940, -56801474414, 0, -56054303004, 16432050136, 0, -4718309202, 13997630060, 0, 2210771978, -29195322248, 0, 16289205050, -12659973080, 0, -7089776834, 57923508460, 0, -17770066936, -6443172540, 0, -4650899662, 30244128434, 0, -15342919758, -45766065242, 0, -81065123726, 17014417496, 0, 57219671836, 2504312484, 0, -39187081664, 40927446996, 0, 15233189873, -50339031092, 0, -85050434968, -6863140668, 0, -66975072008, -12443780182, 0, -1808004452, 40149568144, 0, 8337706530, -3907546982, 0, -65533746368, -28697537853, 0, 4865782162, -6593609316, 0, -12519596996, 3304485136, 0, 46229306920, -89173022016, 0, -94925664640, -13612744814, 0, 71192913384, -5635908786, 0, 4464000022, -8613830394, 0, -85930300780, -56508075580, 0, 1666287818, 62006193000, 0, -6599965108, -820281922, 0, -28481258606, -19954098850, 0, 71173542644, -23351899586, 0, -7162864838, 49407283338, 0, -37588455944, -8263667556, 0, 35797901088, -12599935900, 0, 69955439238, -9488050984, 0, -67220978518, 28918386928, 0, 37926540114, 12855488560, 0, 32480083008, 15405435296, 0, -42753814442, -60527213564, 0, -17562490634, -7071352580, 0, 25677320856, 33694683040, 0, 20864632216, 59017858202, 0, 108090043600, 12821817768, 0, 11612754198, 51295115680, 0, 60843345684, -38454138234, 0, 56095304054, -11741832112, 0, 74419033170, 48613548946, 0, -41604644422, -72590100816, 0, 175509954026, 2163719972, 0, 126910270004, 94080623732, 0, 21831627300, -63974849114, 0, -50068973432, -16754995428, 0, 174216265424, 24747519936, 0, -52710409302, -30422047824, 0, 98556165348, -1829104610, 0, -47356825186, -91201372528, 0, -32917617186, 71070889672, 0, 141846947800, -69579849982, 0, -8497956534, -12294918632, 0, -107243100750, -65150389624, 0, 63726145740, -18765307064, 0, 94624186086, 29498357584, 0, 101292516096, -106155639030, 0, -36791576640, 45627064432, 0, 26556521600, -98847763000, 0, 17211990024, -21570685004, 0, 30139941402, 50812717060, 0, 33043563582, -44080272076, 0, 8000471382, 98748486864, 0, -10998382532, 45916476592, 0, 29219404448, 83359761534, 0, -56138388348, 34932360548, 0, 50740104544, 61962428606, 0, 136748841228, 61485106872, 0, 16916212246, 44833754008, 0, -63869077370, -77017369403, 0, 224750023642, 139643957734, 0, -25126352524, 101201964764, 0, 17009996752, 17845046912, 0, -64033926156, 45338820422, 0, -76820197980, 45553967216, 0, 26672887400, -72574902696, 0, 132655401646, -18790366352, 0, -142584457840, 135537918932, 0, 140233994748, 163032762420, 0, -23012287386, 41829702106, 0, 46542142714, 101200807746, 0, 108550230624, -73210029874, 0, 67691660924, 64066388516, 0, 69277579528, 116314911624, 0, 143595498036, -18779563602, 0, -47266506282, 193842690968, 0, 61991620588, 127069397320, 0, 14708106766, 109679020208, 0, -35557312921, -137327727662, 0, -255876007840, 115571659896, 0, 93311249772, 51357290620, 0, 4704118968, 120121658566, 0, -130377848184, 22867361196, 0, -164438577222, -34705844626, 0, 111805137940, 82303031884, 0, -138847216614, 184580238050, 0, 20388991924, -14291664656, 0, -139060442180, -45518600356, 0, -38404964296, 105294997230, 0, 39294671788, -6688005691, 0, -148917922544, 34487272856, 0, -218833797536, 11901022418, 0, 41543665468, 92174247224, 0, 61990360754, 3384416946, 0, 46233156248, -55015920332, 0, 10734717112, 317806365240, 0, -2207060164, 130729361964, 0, -123025871896, 213808875126, 0, 53204003016, 54252780304, 0, -94313802422, 93021369598, 0, -11583324698, 165158569992, 0, -42107394754, 50915914208, 0, -43032202172, -96447338790, 0, -49818240352, 29198707588, 0, 16478869898, 37974308296, 0, 34045744680, 364224520608, 0, -34534681676, -176299090186, 0, -87769333370, -68118444, 0, -203138983336, -30908593790, 0, 90497296766, -13257633236, 0, 22956525574, 128362628396, 0, 137278376688, 277935870118, 0, -61263216888, 61277041964, 0, 35600276370, 117848560114, 0, -73065256848, -181952024194, 0, -61987149284, 131394736308, 0, 138283929190, -22936803718, 0, -2863982178, 33548914174, 0, -28189896186, -50765210576, 0, 19438725024, 120128265676, 0, 48511863050, 132146571344, 0, -13125744766, 105554377126, 0, -158785175567, -77926886396, 0, 1180781048, -300835760134, 0, -36178075518, 35975143280, 0, 145850073946, 101419776208, 0, 27098890630, -224319156074, 0, -1161466504, -195473653116, 0, -136144054324, -187435827266, 0, 219887642050, -274010075304, 0, -280580743508, 62867813418, 0, 238011956070, -79469897272, 0, -60022439534, -234703398576, 0, -241062433288, -80528393396, 0, -82889895802, -354137325820, 0, 241844316798, 16670843864, 0, -52844666632, 134308466180, 0, 176692979008, 246188587358, 0, 20597083420, -102498607048, 0, 54035342948, -147306040322, 0, -6320962162, 208616358332, 0, -33309934104, 166827369548, 0, -145250459914, -276989093792, 0, 112792200910, -185287511232, 0, -126401253346, -114508572796, 0, -25773965192, 11801832306, 0, 132997495148, -230735910052, 0, -156346099652, 50077668946, 0, -197380843926, -27934514018, 0, 181670473070, -569305524848, 0, -111319861712, -164717689312, 0, -44388029890, -155839577452, 0, 93183948556, -19782772726, 0, 274588868460, 1369137397, 0, -397725744878, -190987991576, 0, 230695373898, 196356788556, 0, 48144759288, -120568201028, 0, -52628565976, -192570041170, 0, 173086615824, -292338957200, 0, 149841631706, -10224004412, 0, 239644629152, 246573343422, 0, 348924873024, -57819770966, 0, -5052130438, -221296574590, 0, -48250397700, -190853715312, 0, -15321867010, 12365461206, 0, -116478135314, 316923018020, 0, -29048934944, -305683215494, 0, 63235568094, -139020788932, 0, -108469747664, -95731542056, 0, -133227037376, -391319919964, 0, 26418742682, 133683886236, 0, 151287766774, -58709612946, 0, -375094926020, -177788337410, 0, 97569323272, 10371403928, 0, 55153947210, -360625298214, 0, -89046734008, -108286102710, 0, 271833300644, -205911405100, 0, -91137630888, -292101140840, 0, -132710383386, -319528138608, 0, 198859148380, -426351188486, 0, 297725328758, 233148877812, 0, 34265131790, -381496952728, 0, -89731225736, -122089463436, 0, 251586597182, 71676076660, 0, -467143283144, -142727578016, 0, 576230806120, 36634093786, 0, 168743706556, -204389484108, 0, -434214392452, 167629613703, 0, -226684165394, 228145210208, 0, 73743607808, -433630666822, 0, 226707518392, -116117253410, 0, 226852887510, -12266253792, 0, -466613337404, -86723958084, 0, -128829817614, 74938184878, 0, 83913746750, -173606751768, 0, -27856407130, 5525179951, 0, -22375248232, -134719863404, 0, -57414239338, 81185441312, 0, -128942903740, 94651556976, 0, -167974503404, -554754262568, 0, -208779647952, -10612352946, 0, 349922988564, 15922545324, 0, -453409650588, -115505080342, 0, 339849902296, 125595809454, 0, 163146099756, -131091865984, 0, 38621668788, 133424043552, 0, 365528906882, -493879114046, 0, 98584206294, 25397294086, 0, -219989733152, -194252808384, 0, -6356151916, -638832532804, 0, 517546918652, 116060154948, 0, -370397895822, 276552276998, 0, -273827358360, -120177378052, 0, -180685544708, -304738779354, 0, -421812006644, -87002847118, 0, 527004164880, 291122008070, 0, -201211553326, 292441096032, 0, -347468953152, -253574687516, 0, -80211765275, -363341421326, 0, -284829805684, -732282325364, 0, -1004722052898, 145961062988, 0, 365363884946, -382197603468, 0, -419064728886, 72786235040, 0, 38205682286, 384923235864, 0, -35422117654, -107827834602, 0, 2929127456, 526855082196, 0, -459707633764, 155487926066, 0, -385380531094, -34822677398, 0, 16874146652, -201487715232, 0, -111342096050, -686821809918, 0, -167677837992, 475236857082, 0, -279949195710, 200802788800, 0, -840070742568, 244925366410, 0, -250007949180, -128896114820, 0, -210063434252, -59427363460, 0, -137792910400, -241977829804, 0, 65793644398, 567380131008, 0, -143492154992, 24175055732, 0, -398349437188, 23771161874, 0, 422746328478, -517754205450, 0, -893182780068, 647445856470, 0, -337354425748, 399461867244, 0, 137636277624, -98265029108, 0, -142906984698, 164046352578, 0, -676278515606, 400040135868, 0, -372784200322, 365574954902, 0, 478562137372, 334033448070, 0, -265267013766, -595998007184, 0, 135953056836, 269913656716, 0, -207332722668, -84596988756, 0, -25739631074, 626643870170, 0, -68933200772, 232658290162, 0, -635432542788, 126284163864, 0, 75936188254, -229480081420, 0, -403392831780, 149194871118, 0, -187288299682, -588342451968, 0, 97730516584, 645792941652, 0, 398341064770, 785921378956, 0, -37732771604, 136572401564, 0, -766067158268, -177070223943, 0, 411291731456, 724635067740, 0, 211675645340, -221325798316, 0, -1095869456796, 179331016750, 0, 303184498870, 343631647328, 0, 63496508278, -174882126322, 0, 308188359200, -127551563432, 0, 803375326712, 464649583716, 0, 20771521778, -23420712414, 0, -152118527036, 968370360298, 0, 444640566890, -599783189736, 0, 64306900075, 66981558558, 0, 767708867916, 715697635502, 0, 76918045276, -515900581870, 0, -38122609004, 406670613996, 0, -775586383384, 307205555664, 0, 89048794940, 129347293928, 0, 453300700642, 516530830876, 0, -53940298846, 6722571484, 0, 950061251134, -573327926358, 0, -508419021202, -396303747376, 0, 306209566874, 401355077834, 0, 1366948845412, 20485932634, 0, 883127806914, 163173029572, 0, -1126584800696, 418825624164, 0, 943315679508, 438972467674, 0, 510762106822, -609635618480, 0, -486044735688, -947340245866, 0, 594333101954, 704631683124, 0, 455093850122, 699803973030, 0, -465761438676, -563179016252, 0, 1012131095458, 233663448156, 0, 375191513194, -162296978724, 0, -403201361066, 329049983100, 0, 1072872539586, -293559715214, 0, 739966207654, -810387805270, 0, 416245120682, 136464280328, 0, 1513783386328, -365051755268, 0, -580295310896, 253181566533, 0, -240743878864, -672199148942, 0, 964719636124, -206680996746, 0, 386134551778, 696743245280, 0, 490060474618, -17206816378, 0, -18564634256, 228832954124, 0, 568028067346, -263976085642, 0, -831723551616, 531617119600, 0, 777020848164, -253736886908, 0, 523691823000, 533898066042, 0, -523211831860, -1121418372514, 0, 702792989238, 399336315522, 0, -442175789342, -452669667738, 0, 53383544024, 353230798394, 0, 675376241342, 993864084800, 0, 89068452540, 1058380198300, 0, -188358056514, -187967606292, 0, 1218623568742, 360184320892, 0, 537619980084, -965972182016, 0, -283156582584, 1102165858728, 0, -415412527850, 529059951804, 0, -952868723668, -180580745444, 0, -707942444878, -542839114772, 0, 1528397554762, 735210546578, 0, 346323021196, -1027539989726, 0, -1075898989216, 389954388518, 0, 308951778846, 10313994370, 0, -191095082598, -10082600698, 0, -40530706716, -569248087468, 0, -126533230464, 417183635028, 0, 1125183657896, 1320248816906, 0, -849817976752, 580839898780, 0, -81000683226, -1204839256680, 0, -304564597852, 824346609906, 0, 282539133120, 761109273532, 0, 691552551258, 790078818796, 0, -191639170582, -527094734744, 0, 216470363176, -492830568382, 0, 312253760004, -945139131284, 0, 2837846357488, 1351762396550, 0, 599256087216, 506588872120, 0, 327182396888, -652874165144, 0, -4974791050, -1101828946708, 0, -2151646963506, 1143759658392, 0, 93758433898, -762005872352, 0, 279721984032, 595089390416, 0, -138552750500, 758906357934, 0, 2058582269456, 768046006706, 0, 414412439852, -188195438950, 0, 11536644966, 656158675048, 0, -238215064316, 688157346778, 0, -28221266360, 129382922956, 0, -1345610038072, -938529080832, 0, 1701543134584, -410430701600, 0, 692661595482, -648717596120, 0, -347861367836, 622196878572, 0, 63213630490, -96588120820, 0, -25141892292, 1156636020310, 0, 480456738536, 51236729832, 0, 669210755372, 371714538520, 0, 99929224214, 694189206936, 0, -486244633036, -1077184703792, 0, -46157498670, -617079478392, 0, -1419293072580, 1032973163692, 0, -705255269888, 181343956214, 0, -694478448332, 2100846933300, 0, 250389876168, 162300351394, 0, -50453954524, -227431530924, 0, -422325735654, 477311763020, 0, 895868387956, -251818804554, 0, 696044213200, -49296089154, 0, 1268963625358, -146281885344, 0, -1738063132560, 260419279240, 0, 1079605499624, 1812572805160, 0, 359426229024, -486371116880, 0, -236867825884, 792624471960, 0, -468127866242, -25999190580, 0, -230527472728, 792073484608, 0, 470291215904, 594043001784, 0, -1244166496934, 1048911572356, 0, 641124197532, -920436725071, 0, 748943607864, -355856918144, 0, 292905489932, 499697939614, 0, 2570344098464, -255181340872, 0, -594462891292, -122664053232, 0, -1578257939395, -557643623136, 0, -171697328572, 781510488978, 0, -1842354992320, -549200861116, 0, -1300800281982, 187798258304, 0, 514824843700, 1441236859340, 0, 1138004875554, 927767520632, 0, -973931310814, -1196194628636, 0, -854312797440, -3027191271920, 0, -1030961425290, 850633896652, 0, -1517467555504, 124176925028, 0, 240351784684, 690575513064, 0, 89296230660, -2269639761540, 0, -41484339080, -750324890348, 0, 895771391960, 136710226038, 0, 64324184266, 556507306952, 0, -1146049409864, 3402952406776, 0, -422444122076, -280871031926, 0, 197704518588, -1109425005236, 0, 773749346260, 1643743216006, 0, 317040122620, -1884286393460, 0, -1730421008482, 1059579266014, 0, -2524264125762, 525054519626, 0, -668834031630, 781969977248, 0, -1991397360720, 1077764567672, 0, 1195153813298, 239541291502, 0, 456507471144, -203630325404, 0, -961793284176, 900776185892, 0, -1219662737748, -1531144988362, 0, -111643968112, 49857249560, 0, 1424725277832, -713792319612, 0, -2722358601360, 959964447008, 0, 674591103286, 2210431040706, 0, -261491674656, 197499619510, 0, -274465037664, -1422230970880, 0, -1614686086960, 1109933362220, 0, -1150480567112, 816837090852, 0, -847607254584, 1441820382268, 0, -984940895496, 314404381735, 0, 2315878989714, -534615296212, 0, -1116405223070, -449128480144, 0, 2753407298228, 1552672060868, 0, 1036314259684, -1846329067804, 0, -1879253936284, -778891379764, 0, -176928447036, -1532984414380, 0, -2510457678518, 1964859557202, 0, -1222988711490, -1261900876560, 0, -859012239464, 1076574008522, 0, -1619504350530, -735925504038, 0, 12683284442, -81089683594, 0, -671574894982, -1426334483824, 0, 246933908884, 194444454450, 0, -2172092989778, 241057040870, 0, -198667695498, -1508914575744, 0, 1665339164556, 8687145220, 0, 677794341610, -2048576767278, 0, -760182997220, -691766272320, 0, 1764303861764, 322444681844, 0, 99870014812, -126875553872, 0, 782134633554, 2147350848580, 0, -145445059862, 2880698773460, 0, -2754354659473, 714086013812, 0, 3249649281154, 859366558928, 0, -315539819862, -3491692350522, 0, -991870591884, 116888406624, 0, -262671649306, -1038605938030, 0, -617742179014, 1000376966060, 0, -1777973109406, 563729696552, 0, 1652903572576, -777993101540, 0, 3022601505278, -1446455163778, 0, -727228636492, 233935573728, 0, -1286971429488, -2408936151630, 0, 1700488231020, -6608383319, 0, 111805653952, -1701394008442, 0, 1053472065934, -71207572588, 0, 3560284528158, 71713208034, 0, -822189622324, -2602308463600, 0, -491033521670, -283004546000, 0, 938637472120, -1761499274624, 0, -1925678622056, 1335532277544, 0, 1807730290578, 2594731223330, 0, -767268618890, -872297354910, 0, 1922410654438, -3439736193858, 0, 2349976257848, -3107609676912, 0, 1746099162428, -98516629224, 0, 931152760624, -2203163280700, 0, 787176178240, -1049069964868, 0, -851407949596, -4057745865080, 0, -2048099652704, 976433705248, 0, -1809766253556, -3301034968092, 0, 3842982799826, -424743343750, 0, -3038902363024, -455784978004, 0, 1580789006552, 3553620516, 0, -1330164954760, -1444241314982, 0, -228238807074, -1571350948188, 0, 446444708568, -1407103214516, 0, -340088204814, -1874930017424, 0, -1200156459292, -3090229785132, 0, 796346332768, -4432793321060, 0, 829519420102, -2962159320046, 0, 333856985410, -111159979756, 0, 292124937428, 535027673260, 0, 2215855476764, 3287658548110, 0, -2221194115084, -1397133046852, 0, -1905459357234, -746758465336, 0, 875634769726, 607578612084, 0, -222112113144, -5023666996216, 0, -1679108755330, -180349361852, 0, -3686080356124, -348184477540, 0, -611716059922, -1707924303932, 0, 1124179239008, 2258407843880, 0, 2798137356924, -1736883950800, 0, -244541633886, -58301505652, 0, -1676575468452, -1753077793034, 0, 1872118868772, -129665849062, 0, -603880897152, -128195814688, 0, 2727357171364, -3236144740198, 0, -2386165290230, 853950822312, 0, 4808605547088, 650122076358, 0, 1394087298616, -869926859336, 0, -2859605005012, -1360418082576, 0, -3042100843860, 376331666584, 0, 2759814223664, 2738229416146, 0, 1462893916192, 1589030786298, 0, -2426365508100, 904274324634, 0, 3810752224058, -3176412407684, 0, 317619403808, -425196084707, 0, 1632104211100, -3156903966558, 0, -28156887490, 65308387520, 0, -349372512322, -3299019541618, 0, 991315611974, -2883956725598, 0, -2740795017320, 1316525990284, 0, 311990076536, -3913734540958, 0, -1154387914536, -823268323644, 0, -2613066113156, 340992482150, 0, 2732677078046, -1923795548320, 0, -3325263919726, -257571554724, 0, 2375978804068, -239551817052, 0, 2673437151804, 152671008684, 0, -629382498922, -3016957730072, 0, -2070721049338, 809774374294, 0, -324796746552, -3479789132544, 0, 1405025827230, 1381771772548, 0, -782391774620, -427180461322, 0, 376304563818, 384381712610, 0, -78582187408, 3023138020922, 0, 1421909478292, 1330418999174, 0, -5078968287600, -2359180959886, 0, -2299677945764, 3972707031900, 0, 182524316772, -1817597613438, 0, 733069997964, 4779832713678, 0, -3313613079946, -2376311394780, 0, -1643694177394, 2597828929842, 0, -13019846640, 1601501235282, 0, 2485018333886, 3546306825832, 0, 2666153456366, -709006042600, 0, -3308307438138, 3034699886212, 0, -4023568563790, -2103721063824, 0, 676229298958, -341998088388, 0, 1982785135220, -1599388162644, 0, -5303803999556, 1074011279096, 0, 3774568516206, 3215322369782, 0, 1185482723016, -3389267608246, 0, -4760240272924, 580089691130, 0, -1480197470594, 2689708114848, 0, -1354755305720, 2344481241108, 0, 624335823810, 3395130616670, 0, 1227970702034, -1189317010304, 0, 656420729130, -165649273248, 0, -1402313250040, -501944257504, 0, 4376855712072, 4620422227150, 0, 1039473816868, 345298159732, 0, -660106574944, -1546620881835, 0, 1926983632862, -3836290744450, 0, 1599697122608, 3517466549580, 0, -5088054495336, -3803046539052, 0, 283884013532, -265946859440, 0, -1596054236754, 3248741860132, 0, 2775622226046, 2317892426998, 0, -1242344128358, -109776719480, 0, -1194097506116, -692088663968, 0, -787835873008, -1120350947806, 0, -1175262205784, -2855525851536, 0, -1743763548268, -3036524231972, 0, -1492027087060, -1818498783710, 0, -943680214920, -1303082705296, 0, 3715179986176, 1245163698020, 0, 577897901612, 222561086410, 0, -934803623212, 3618128431698, 0, -2295187204905, 1006800877612, 0, -2149033460980, 770876824170, 0, 3020352378048, 2329298887594, 0, 1126461062766, 2928189163362, 0, -3725624409756, 2593490991756, 0, -1899809448216, 191549279200, 0, 1956168245068, -1539968091246, 0, -3392072025200, 4103330707718, 0, 3205270627462, -416017516960, 0, 1564512329234, -1329097686680, 0, -5194032968236, 4230356035908, 0, -1098238834752, 2977135849350, 0, 1040531331948, -273702211444, 0, 4881719004024, -3716378398232, 0, -6028420832440, 4346074628366, 0, -146135353804, 3618637018628, 0, 1396456714766, 1166627224266, 0, -3566599580646, 562612723962, 0, -128566521284, 153227389684, 0, 474322644082, 3302324200324, 0, 4822604729972, 2096307112948, 0, 282667265562, 2965326791986, 0, 667566619080, -2627808554160, 0, 516006896460, 1279026849790, 0, 1958641305060, 516879292406, 0, 394210552614, 997679242904, 0, -2601609323724, -1491165848060, 0, 2352960907272, -1413864805632, 0, -4033667127772, 5355277374042, 0, -667319759024, -2918455974800, 0, 2633139515432, 3660456532986, 0, -3521491865154, 6619224312054, 0, 3989684386276, -877573106184, 0, -3094455079880, 3645224678466, 0, -152916706496, -736639457514, 0, -3063886275834, -1803494173436, 0, -2179878836070, 137282354754, 0, -700487687668, -377482242512, 0, 7430692179876, -2442497799222, 0, 10054671140, -1443973412148, 0, 323732209880, -113097849240, 0, 414805033498, 2250662028618, 0, -180869797608, 3430920241504, 0, -3537136126538, 10833674391936, 0, -3251847513994, -1851583085198, 0, 3523586899036, 2459814640932, 0, 7057069870404, 120783040878, 0, -2512503280956, 7514537430568, 0, -2657747123544, -1873754110066, 0, 150510817554, 2492595888110, 0, 2161162493404, 2650933922600, 0, -197645938704, 7706035103332, 0, 3000734311310, 500927991470, 0, 1105734780142, 2037052220726, 0, 2732455224966, -724876808482, 0, 1629024713588, -198793260268, 0, 3516790182312, -946403754192, 0, -7886821264376, 1122655224288, 0, 6944522520636, 7225460942888, 0, -383665136992, -3491552920036, 0, -939148578508, -2769068295384, 0, 2511409185916, 3497906428080, 0, 2573615699744, 5651326163592, 0, 75387894206, 735621888920, 0, 6650249966894, -3320647122424, 0, 5110158964520, 1779563513820, 0, 2065638854564, 1942444109812, 0, 3555970423284, -59490986800, 0, 3417915390039, -2625637618080, 0, 2665480356746, -4411659323206, 0, -971484749772, -2105016293264, 0, -5289831640590, 6346047004168, 0, -5025169238154, -4934020950450, 0, 2253962710838, 2094580564216, 0, -168786611156, 1392085703834, 0, 1081176605606, 2472313800298, 0, 2435182860872, 781268175012, 0, -862321912478, 1621828992932, 0, -2607243148880, -424543561680, 0, -4496995308524, -2084957799813, 0, -3724701542078, -2549628233118, 0, 681268149694, -4664854768226, 0, 598733411908, 455520811610, 0, 6461538185788, -1992690006006, 0, 370293437083, -1041578034724, 0, 704282788810, 3305887768648, 0, 1085105927340, 10467913139332, 0, -7131694130864, -5382433602940, 0, 4032685730440, -2586535766696, 0, 3586999377906, -1032811941332, 0, -1222435598612, 3937515401340, 0, -11096250272804, 2242290642788, 0, 1717917499552, -3304587030456, 0, 1502497947598, 7573104586624, 0, 6129659951202, 5987383161682, 0, -1611741408900, -5188239670676, 0, 996206837276, 2525822098018, 0, 855398062076, -3806141008708, 0, 4516734017200, -97329766162, 0, 6017353677758, -1207278486288, 0, -3142553964402, 1725962861580, 0, 1690572781976, 3247449457648, 0, 2024515124896, -1868390290748, 0, -2167725382620, -7217129613660, 0, 4785292389400, -2667747838850, 0, -2461374886376, 3531044122066, 0, 3801467256544, 1237702173994, 0, 1940189680692, -1108885518772, 0, 4965826696062, -194361488156, 0, 8059849837542, -2730633368816, 0, 8879021237012, 5196645535344, 0, -1694483153680, -2649388595254, 0, -298236542012, -6444815603638, 0, 1390750144202, -5753967962004, 0, -563412423654, 6547878769532, 0, -1114247586396, -6208909802804, 0, 6090053839438, -1303027817944, 0, -1949636668870, -1198022067232, 0, 6852066449896, -3044154459662, 0, -4290699056468, -1913729330964, 0, 397868099970, -1860286234492, 0, -1450963091544, 2134490147076, 0, 926445657010, -6456968190120, 0, -1876951902480, -6954709289336, 0, 10406650787694, -5001279412856, 0, -1800561288772, -6338457242694, 0, -1693237000536, 3966583107302, 0, 541516293482, -4260470645936, 0, 5327093419924, 363110399328, 0, -3849236290788, 9783487382473, 0, -1581314802512, -4655914720944, 0, -1999805688108, 2833974418016, 0, 6875987097024, -6248342578488, 0, 2891850499618, 6653460212850, 0, -1606755700916, -4167635722068, 0, -1126364273638, 7261805352588, 0, 588127682424, 2058982370890, 0, -2731179312628, 3154869747474, 0, 5479227579744, -2201955306868, 0, -2583482008716, -3968623234324, 0, -4945089750048, -10031105659446, 0, 2665288655760, -283322081402, 0, 6638645289874, 4537243763496, 0, -8138957395708, 11297557202852, 0, 8495690942016, -947548718300, 0, 1875954737336, -7810963331156, 0, -2233038178366, -1126995150606, 0, 2269297841768, 8160512373880, 0, 5026108743786, 3080543856384, 0, 7099418449760, 5053899120716, 0, 4266439575280, 5059320714964, 0, -705292122448, 3687578268642, 0, 2057120332382, -3989742206950, 0, 3331121536646, 3671395723616, 0, 1481959381472, -1286632287076, 0, -1569693654848, -11664364804964, 0, -3743119190032, -1058403498738, 0, -2960728563090, 5045395327128, 0, -9328880222718, 1010693025544, 0, 6046098109938, 357923194574, 0, -299876633428, -4374228774374, 0, -3245713069672, 2762563627996, 0, -4218606130740, -6115503421604, 0, 2767741268434, 2384456782628, 0, -6277102840708, -342457310632, 0, -3302306479886, -10184863565714, 0, -7388171626604, 2014861346916, 0]