# Trace form for 387.8.a.d, downloaded from the LMFDB on 25 April 2024.
[0, 13, -16, 0, 922, -998, 0, 1360, -3870, 0, 4667, -1620, 0, 13550, -44160, 0, 114026, -110880, 0, 105058, -167251, 0, 201504, -160184, 0, 270149, -272104, 0, 208172, -285546, 0, -99616, -200126, 0, -80941, 187104, 0, 176038, -652165, 0, -895387, 410260, 0, -1033591, 2177076, 0, -3975765, 424556, 0, -1561359, 4063801, 0, -4172312, -3992458, 0, 406960, -1559556, 0, -4052005, -2248836, 0, 6210394, -885317, 0, -3096318, -5600420, 0, -1993648, -9327135, 0, -1105098, -4978064, 0, 8224814, 3613563, 0, 10687121, -17261892, 0, 6945708, -15822799, 0, -508449, -22937328, 0, -575532, 1272112, 0, 11202656, -9291302, 0, 25581108, 14388137, 0, -24645805, -30750464, 0, 10001852, 32304856, 0, -68469663, 4855254, 0, -14146644, 32413020, 0, -50575030, 23777160, 0, 22540790, 67637388, 0, -55807332, -16768774, 0, 37735502, 46644309, 0, -31659820, -29590776, 0, -9218415, -11436044, 0, -76957415, -72052200, 0, 17284428, -131553486, 0, -60151718, -75415718, 0, 48609200, -51273108, 0, 94288413, -38076114, 0, -69948328, -203734278, 0, 29930648, -83555232, 0, -41406820, -101333636, 0, 114568009, -98697846, 0, -115724344, -345577023, 0, -101167916, -88144036, 0, 32262410, -441210751, 0, 47941077, -113834568, 0, 122806490, -362283163, 0, 84987946, 23913984, 0, 97324987, -582855564, 0, -73305454, -159253542, 0, -247589468, -391795680, 0, -161889818, 1506406, 0, -374080486, -171928116, 0, -584603347, 16971984, 0, -800590980, -366329411, 0, -348511363, 13568236, 0, -156695252, -587821849, 0, -575988998, -44414162, 0, -392343408, 367922001, 0, -314115562, -161419260, 0, -6604712, -955051513, 0, -611087444, -441654444, 0, -773277682, -1034850242, 0, 148951244, 79347986, 0, -31348100, -702501628, 0, 107318592, -385265628, 0, -1021425628, -155055300, 0, -198972162, -318711062, 0, 117819786, 344126123, 0, -353957827, -475289730, 0, -809384848, -1237034628, 0, 801167530, 350610404, 0, 449869630, 90660272, 0, 1586335156, -133934158, 0, -113084440, -1386681219, 0, -258284056, 893678576, 0, 789838264, -541236859, 0, 326562786, -1776085350, 0, -284642024, -1522078774, 0, 1492887225, 207422208, 0, 1214079816, 108201678, 0, -744141584, -1499894450, 0, -181243740, -6540015, 0, 403348382, 63138144, 0, 396760878, 1137183392, 0, -1375794670, 324668516, 0, -1499090392, 1294013240, 0, -3999580560, -842632044, 0, 3090294389, 1989533934, 0, -227052300, -914763334, 0, -790176016, 2123066889, 0, -1061780157, -74147744, 0, -108129520, 2373851936, 0, 938266013, -2402043844, 0, -881395604, -317612256, 0, -1144593650, 1963658412, 0, 854681530, -135425885, 0, -2646512705, -1974498198, 0, -700717380, 565389385, 0, -1080326398, 1554443988, 0, 1218480586, 3031686025, 0, -1524493087, -2862545544, 0, -1467511856, -1495642854, 0, 2747801364, -152113116, 0, 1925555384, 890008272, 0, 1928467936, -1644827628, 0, -1610027368, 307692090, 0, -140427698, -1240324294, 0, 191887746, 1982458746, 0, 4025100024, -4003922606, 0, 1091461808, 417527354, 0, 915436631, 221169512, 0, 867657903, -1208909386, 0, 6325931976, -488112136, 0, -542498468, 1804035833, 0, 1424678930, 2558823180, 0, 1342612842, -3291550008, 0, -388566387, -6609567840, 0, 1693167480, 2987605859, 0, 5246091266, -2571242084, 0, -1475764236, 6001677399, 0, 7024022445, 859406082, 0, -6616829456, 2590703466, 0, 5078782012, 5852962990, 0, 3562473858, 5559300070, 0, 1209174517, 6134326396, 0, -3417399524, 6299217282, 0, 653372366, 5150341896, 0, -231548958, 9026207159, 0, 5194482045, 3663727488, 0, -1996995528, 18675337348, 0, 5887030400, 8999228704, 0, -4599236326, 2570797783, 0, 4045147058, 3440464674, 0, -5439667692, 6708705108, 0, -371059169, 5465382156, 0, 3266703806, 11489611626, 0, 1960881892, 693410464, 0, -6631213984, 8590029840, 0, 18267649206, 7237847824, 0, 218484144, -195113768, 0, -300493684, 2323727634, 0, -6221805124, 6929105350, 0, 7953039151, 9858366060, 0, 3307733754, -4624669584, 0, 11394230485, 393448074, 0, -5669147552, 15402654129, 0, -567883374, -1092590502, 0, 5196699532, 14414231086, 0, -3181256844, 128801340, 0, -6024011282, 4651456698, 0, 5066018957, -5939931168, 0, 3276926580, -13003523682, 0, 6346829214, -14030097608, 0, -1086009440, -1764657756, 0, -952170649, 5576258274, 0, 4619022388, 2083618838, 0, -828892703, -579497352, 0, -3461631894, 10163940912, 0, 971078714, -14814772128, 0, -6078927300, 12614504928, 0, 21276245815, -18457321962, 0, -53607180, -23040687694, 0, 3306429920, -1771936442, 0, 11507969484, -6995819442, 0, -19971158934, 7074116326, 0, 20917136474, -14990100373, 0, 3785210144, 3185696472, 0, -4037758989, 12513264280, 0, 32424623178, -11274662204, 0, -438314388, 25757010684, 0, -19365155192, 4260390120, 0, -6802068298, 14997904057, 0, 11558555061, 6749667856, 0, 4333960856, 5195210502, 0, -34865729112, -11843568648, 0, 598725500, -8590770037, 0, -65320462748, -7719710310, 0, -1077319850, 18087161418, 0, 14039255491, 9075376676, 0, 14347754436, 1613479998, 0, -880804288, 3079768238, 0, -1966167102, -10537350804, 0, -18380883382, -39788581948, 0, -11606830586, 12708696005, 0, -10440495526, 11542426068, 0, -10232773164, -85506444, 0, -18536779994, -36043906724, 0, 29325106940, 5670916782, 0, 5074390221, 8681563414, 0, -4581789136, -1945808439, 0, -3026377802, -18759846596, 0, -28333156078, 3511029120, 0, -12440133828, -13719390698, 0, 11372229004, -33892297631, 0, 11064678198, -24007529860, 0, -15653559266, -35575527818, 0, -39179456672, -6252462240, 0, -29271316172, 19941060430, 0, 13057998536, -23013589884, 0, -3105856215, 71447895326, 0, -21030140815, -28659160056, 0, -6252994228, -57679376697, 0, -7717721880, -52208248028, 0, 27905820106, 3310120524, 0, 13266745501, -13504511586, 0, 16221874652, 10513380450, 0, -5045670652, -28569615084, 0, -32605548428, 23003219866, 0, 80323348039, -24242429554, 0, -16639066544, 25697235677, 0, 10366222830, -41278357568, 0, 34442563910, 35051914400, 0, 50714701118, -8183540136, 0, -12286865960, 17542844112, 0, 2925043286, 8570845332, 0, 6511693394, -15147464829, 0, 38616846978, -45880935346, 0, -6869229124, -62424338040, 0, 24937767232, -33718943532, 0, 10398345812, 13936505880, 0, -9065865182, -1005223432, 0, 15334267288, 14995764198, 0, 47326017949, -69600917084, 0, -29331709572, 21546910993, 0, 14765018826, 7632948170, 0, -64330039736, -83043382584, 0, 129369308, -60131188548, 0, -33147977998, 53046536762, 0, -51016779038, 21070517216, 0, -51620219364, 34341440441, 0, 49168265901, -68008119200, 0, -30620823336, 9070685649, 0, -22615324978, 5997739830, 0, 37127900060, 37438441032, 0, -66603552990, 8815736160, 0, -22878433650, -75970069933, 0, -65377162507, 12826442592, 0, -24791178482, -43739984778, 0, 3009570208, -60739286676, 0, -92834390968, 124733041357, 0, -135957859412, 24158072736, 0, -14878246832, -10374452975, 0, 59077757970, 10763271304, 0, -104226154034, 47432147530, 0, 21579832699, -38382659738, 0, -30120521900, -106632090322, 0, 13676807544, -25158997020, 0, -45615200808, -39353434416, 0, -184998315, -4840694210, 0, -16808403940, -80789587071, 0, 27744293396, 14181106546, 0, 53664880728, -73680550590, 0, -65841974926, 24671002082, 0, 27683610884, 98508150824, 0, 142963752061, 76611908472, 0, -55432809920, -16935700746, 0, -48519435982, -58597469538, 0, -8771313292, 130711411841, 0, -39378609989, -79295140476, 0, 43277321488, 83779858942, 0, -20780341066, -2870422268, 0, 17641242154, -79038246750, 0, -27042186192, -49590316228, 0, -8352846406, 41131524090, 0, 180209555549, 33455682434, 0, 128845932, -197456987223, 0, 111095284912, 19124171292, 0, 40223338366, -18114288582, 0, -110071161388, -113187157380, 0, -2145356012, -84597686136, 0, 28929050380, -21213258896, 0, -55424796667, 33246348499, 0, -101290628363, -63909812694, 0, 15264910044, -228062073686, 0, 132130765854, 18967461636, 0, -38316402898, -28847798256, 0, 71732971292, 54835454836, 0, 18539503906, 13297625257, 0, 129166398003, -149134915464, 0, -152088822236, -49227402888, 0, 60543882666, -49763916288, 0, -4291384944, -70866913176, 0, -102938955925, 99739833540, 0, -84735989978, 78416162557, 0, 144773758000, -36636217240, 0, 6526914944, 250248842334, 0, -133697153742, 232139248, 0, -113927837468, -38334513700, 0, -147586841772, -88543731196, 0, 113411650156, 142027150476, 0, 113151519004, -12268622682, 0, 92958285456, 210038749368, 0, -41692970034, 9919224592, 0, -29630249316, 51419909885, 0, 152319429852, -84783897356, 0, -56357167468, 255006767808, 0, 79499497592, 41317806084, 0, 44173185436, 284055853077, 0, 110958757074, 27288276856, 0, 9244589110, 182350063262, 0, -257632327539, 128910808806, 0, 63270667394, 123164681922, 0, 186119756377, 161817686496, 0, -89400720838, 38263869900, 0, 112270670930, -86232213534, 0, 15261526916, 115870947636, 0, -16020978528, 2706826992, 0, 132993965464, 186512509219, 0, 134628179578, -89306737654, 0, -49374934936, 264815145091, 0, 201727627019, 9771700272, 0, -115641496029, -63136661826, 0, 31579205158, -109265384616, 0, 58504697468, 274782090642, 0, -207272534117, -62751745256, 0, -52600274404, 140162709837, 0, 392859742036, -84916911136, 0, 89609086516, 228509835049, 0, -179020638735, -28517014668, 0, 166903599048, 211476490191, 0, 8848697002, 12735749288, 0, 27809987840, -256955876731, 0, -144458816280, -45738007504, 0, 123132187442, 182734458635, 0, -157864766104, -26403949812, 0, -14111421300, 302542886266, 0, 6350401792, -8836909744, 0, -116372830806, 75609545676, 0, -53883646012, -126851581622, 0, -129569594964, 29135734059, 0, -163502580598, -46273120590, 0, 159682114490, 134100052368, 0, 207868869826, 45902365760, 0, 170799792368, -253303302960, 0, 118116969695, 103224794516, 0, 48490535612, -105360254136, 0, -134708932126, -43826462616, 0, 126188139212, 67579271714, 0, -63549411050, -24697964424, 0, 99957078032, 178483165083, 0, 493792028219, 147039815964, 0, 212528829778, 82452931200, 0, -173180153249, 45411993512, 0, -94448963892, 232491912517, 0, 282655756644, -28379694830, 0, 77919684756, 93472124250, 0, -78866593082, -193094640384, 0, 121582136394, -147881933202, 0, -459960579236, 38898712554, 0, -21478736543, -177342471736, 0, 185850061216, 246150485676, 0, -21660156508, -220999449124, 0, 196759697243, 43786442160, 0, 76001499256, 86916832545, 0, 36466311568, -103857655252, 0, 114024803410, 34759888364, 0, -41491375066, 142902265662, 0, -260415988148, 72769744092, 0, -80482319390, -14850494772, 0, 230603973312, -115974392358, 0, -54085324619, 110470827090, 0, 123902592332, 142783036512, 0, 191851098052, 243469540016, 0, -313578156530, 21634172728, 0, 201077637890, -248027978892, 0, -310264142566, -171209983703, 0, 148924324720, 228720104924, 0, -42090132152, -57076332854, 0, -120956309690, -93036413364, 0, -218196085880, 111076947056, 0, -197799769428, 196302967032, 0, 171004547428, 72072203363, 0, -631868319288, -66190610652, 0, -216351722158, -281348180694, 0, -48023138947, 97104243768, 0, 78780003584, -226557738742, 0, 357072321449, -181819439888, 0, -162588198712, 125177670090, 0, -335724693840, 42626097094, 0, -2415368612, 78642265632, 0, 281444622084, 5096669604, 0, -185678476136, 282171271870, 0, 347903960784, 360074813452, 0, 3695692076, 395730817822, 0, -60825230710, -406062503162, 0, -271431492148, 163136750889, 0, 246911705794, 265176421416, 0, 143698934620, -10771096656, 0, 151561311577, 56573491426, 0, -91978381050, -573156884290, 0, -38886219147, 5462894712, 0, -284133906836, -63056175494, 0, -16551131204, -267736116264, 0, -396965572316, 591011170860, 0, 512144160195, -175033900944, 0, 229449148582, -155887787708, 0, 256419264661, 57764658576, 0, -22352651816, -448111923878, 0, -64415700202, 68712674964, 0, -220985908863, -101539249434, 0, -154385702786, -226180488834, 0, 62340853376, -128339840544, 0, 290965462419, 30277024528, 0, 258553706622, 346331960520, 0, 318628785254, 74566685700, 0, -117547306368, 72943378836, 0, -73068014308, 22702905822, 0, -44085134374, -399467745902, 0, -337428069638, -330175001364, 0, 8383928352, -127028308527, 0, 117634388715, -7504967322, 0, 102650700128, 41833575672, 0, -33124393685, -192911918772, 0, -245655543864, -495566906016, 0, -366756119274, 108093885716, 0, -59323381620, -396659372792, 0, -87966207824, -273693900070, 0, -23083490300, -412180729055, 0, 487976650096, -38163890516, 0, 511723105336, -622630188300, 0, -163025020798, 162632290606, 0, 108871532872, -183442983348, 0, 57965295158, 20290902876, 0, -395419612918, -145388589144, 0, 629717320598, -303586338630, 0, -117375031640, 172072356279, 0, -91243131363, 173421778188, 0, 358736833124, -379207346812, 0, -564206102279, -73648699776, 0, -51223890812, -97050464262, 0, 272644260048, 10296120444, 0, 70173297668, -168864975256, 0, -504359277140, -344697931814, 0, -116561040192, -361179758490, 0, -102195428918, 236612213820, 0, 7920169312, -58097842956, 0, 12124625252, 350123905080, 0, -161757588124, -74132610930, 0, -174595362532, -248023599444, 0, 96610938672, 150809644270, 0, -543767669967, -409035931508, 0, -167520376652, -158751381450, 0, -269992195137, 68630323826, 0, -99025396052, 99942587730, 0, -950705440144, 36479077638, 0, 428837136954, -515172214284, 0, -26620454020, 12631976436, 0, -740082012991, 8334587184, 0, -94737418392, -450204752826, 0, -123205928084, 15911417882, 0, -579901394092, -53494524000, 0, 281585300318, 292611507676, 0, -59927948138, -17592343442, 0, -223526464628, 311508469339, 0, 32045918684, 189587817444, 0, -305393111696, -618558146322, 0, -260132923345, -339374264376, 0, 52608565124, 241538194842, 0, -929571634592, -220243307080, 0, 120541296164, -143961839418, 0, 97207583656, 291728118678, 0, 28967128308, -663887116036, 0, -688518215848, 275505186528, 0, 1095953156, -298134592472, 0, -292013058050, -541145588586, 0, 269544950056, 48020974394, 0, 184405413268, -293025380226, 0, 165017332158, 170166909012, 0, -286924845631, -260129541022, 0, 279144258596, 89755620463, 0, -572427393231, -31421789232, 0, -126803806880, 159596347890, 0, 148688472509, -203607143918, 0, 205945158844, 50497004886, 0, -203265671376, -15531902554, 0, 601911019826, -434180735050, 0, 254277648072, 169293083074, 0, -364145766536, -552935601194, 0, 6435376087, 265341010920, 0, 58361512152, -251878307999, 0, -543474448379, -99372004492, 0, 477518806520, 217902317881, 0, -452068378304, 527459515236, 0, -30447751444, -651587024189, 0, -50932392882, -98496085390, 0, 327321692592, -223460939292, 0, -74853122346, -228252170244, 0, -29329778618, 316724095614, 0, -6333184937, -387669212346, 0, -213995455504, -783870814656, 0, 23025670832, 296034487126, 0, -335293481720, -705588559668, 0, -119300009427, -14876077728, 0, 462476599512, -680371916478, 0, -300336732610, 84857405992, 0, -129705036248, 327081700103, 0, 736936996578, -289337662032, 0, 254208777244, -789175828777, 0, -30465916430, 196715185662, 0, 685521981910, -465785822124, 0, 373469966126, 85403392884, 0, 397937785614, -55036390792, 0, 1207683986256, 446665915340, 0, -89533012728, -477606813429, 0, -669560110488, -409423189380, 0, 1021209715288, -665532347367, 0, 249630233759, -472985151252, 0, -308659773522, -115788925780, 0, 1351792194877, -609443122722, 0, 12940227332, 593708753184, 0, -655485627857, 259656054956, 0, -233273092388, -293153704920, 0, -428176585222, -167936208692, 0, -222752172104, 219541531802, 0, 909323314457, 113209072824, 0, -344609278126, -681143211628, 0, -469407306192, 340584204696, 0, -62746413160, 125740575383, 0, 208239023156, 596902344420, 0, -719408911212, 849870914956, 0, 959135272998, -72321266112, 0, -13996253266, 375279602442, 0, -251613920206, 399685744776, 0, -51522661094, 223527714051, 0, -758754902283, 1601299242578, 0, 41032302716, -541052122399, 0, 87898369292, 535515773336, 0, -427656074650, 163541625054, 0, -1120701537514, -78157643362, 0, 872415398008, 109921417758, 0, -655433757917, 1404390859554, 0, -231698554070, -122550435499, 0, 231479287610, 688930040940, 0, 9096671528, 706283321208, 0, -541108313041, 433318592664, 0, 61056871424, 51851682655, 0, -236510435546, -183601503130, 0, 76757267104, 1022548625973, 0, 194240232064, 427585486000, 0, 123814511916, 1901779916092, 0, 881455327045, 1496081061744, 0, 375397509200, -793714308696, 0, 813627910468, 486870804652, 0, 167144980, 65145681241, 0, 435164760602, 149958222852, 0, 1048537419508, 1712187229812, 0, -1147804112377, 264130325898, 0, -590114674470, -210406177452, 0, -430647427888, 1027553657148, 0, -318706928552, -540934683760, 0, 371649934462, 722261837804, 0, 148570117965, -1129507478527, 0, -1178988234943, -380791022412, 0, 825782115424, 1192869354477, 0, 583452291593, 759539432560, 0, -1042182254330, -1428335245404, 0, 688927418650, 485211656682, 0, 82547980726, 469870081770, 0, 194124173316, -929274503276, 0, -189811181120, 416647397138, 0, -406932013232, -304873202470, 0, 983410021468, 861333417564, 0, 1314087683465, 516063361416, 0, 1044054873740, -179356925941, 0, 71189534209, 1779843764412, 0, 740504175388, -693205439535, 0, -711196829814, 1610117526972, 0, -980966097816, -277112457690, 0, 32069134416, 101235650502, 0, 881663892212, 1094612853354, 0, -321057082128, 351681478986, 0, 85456525510, -1425608481384, 0, 1578328515032, 1316247111692, 0, 1226488304278, 1280796398861, 0, 521643958736, 1631585752860, 0, 150656776842, -1206515936486, 0, -2294992089593, 652259274108, 0, -143807997268, -1473954271440, 0, 1440237986773, -32618541820, 0, -1049870891480, 808004200676, 0, 1819146541362, 1896729187236, 0, 60506713908, -541310101066, 0, 1547059445820, 135543260828, 0, 845611359056, -398395632450, 0, 2764710261364, 247747350900, 0, 99599854528, -803290143996, 0, 1613263054402, 305468551016, 0, 689739927998, -456344792407, 0, -29029131156, 1427278538376, 0, 1707199877940, 355526419932, 0, -1609998004663, 60305558868, 0, -711746054048, -1469977819530, 0, 1510666739484, 6625213758, 0, 923215100780, 130353738598, 0, 693115321598, -371245853614, 0, -236467118746, 58477002196, 0, 1133326446981, 240931990294, 0, -26837116204, -470787924852, 0, -1340216909490, -1032277770448, 0, -541599578578, -338023163400, 0, -272303528776, 666806425560, 0, 406335043024, -1872992097324, 0, -154135652830, 289609060360, 0, -1235689799316, -1626870785111, 0, 1025567313177, 724187756088, 0, 2020708854914, 2032334103474, 0, -890350237256, 415032021772, 0, 82177719637, -795239253984, 0, -1620798870626, -106760984196, 0, -1300175562668, 3189951733929, 0, -721302865040, 918045618744, 0, -94507720846, -149924336561, 0, 1446790819474, 1699073770694, 0, 359616448750, 1562271518643, 0, -1678686294948, 332063263764, 0, -484257779996, -2334494860958, 0, 343208044712, 194376835190, 0, 159061586040, 1560451288506, 0, -2807431245770, -1114890323412, 0, 758220781224, 1932310046825, 0, -2202522548956, -445383040572, 0, -931022351384, -173092781532, 0, 721026886796, 1210430495972, 0, 165904243456, 3153100291852, 0, -2588663534775, -198137543730, 0, 2232468118496, 972215001186, 0, 831168427640, -1787961059188, 0, -241344577276, -321798246478, 0, 856372492363, -869678541528, 0, 1270150547912, -765952214175, 0, 29047677116, 320405965188, 0, -715717769508, 1603676714817, 0, -198414662046, 915335083644, 0, 429478768340, -1674455759058, 0, -2537046528473, -183655454470, 0, -523072773350, -3453259997935, 0, -1642376498374, 439343766372, 0, 1207680194800, -1160496380911, 0, 59298672726, 300456524724, 0, 624097727808, 2161655844276, 0, -854229908573, -361889815098, 0, -982714767196, -2615511240604, 0, -1638417143023, 1670585644182, 0, 1370318182760, 2209125421980, 0, 1401314491329, -813119853948, 0, 747876241532, -456417956817, 0, -2586472602754, -1753755230496, 0, 526694165680, 408222477806, 0, -2677673392891, -1186550520966, 0, 368934876244, 1672025364930, 0, 316101147855, 886941427996, 0, -951750440052, 552888812704, 0, 2384414283905, 2539146644460, 0, -661050955992, -1239609747648, 0, -2593799812446, 719843729100, 0, 1849310449504, -885728594407, 0, -1746590145275, 304937174906, 0, 159542672624, -629346698016, 0, 2299055283444, -158937778216, 0, 580797542228, 907681128462, 0, -3545045533394, 2182295906408, 0, 202725375910, -2103272851824, 0, 2104262099164, 921163954208, 0, -2411497934638, -851844924870, 0, 2082699568168, -33755173892, 0, -65502706892, 2500137586872, 0, -2083077347854, -76440576320, 0, 862299285106, -200112945660, 0, 2930326819655, -1894730710416, 0, -785449223620, -2522009093610, 0, 2926534567417, 852599900000, 0, 726701280688, 5711815265, 0, 36537977712, -1379778941352, 0, 3596009719548, -3351303911502, 0, -878316520691, 2108961083688, 0, 65971593522, 873185928770, 0, -1853002906616, -2599263507672, 0, 861951674456, -533605172311, 0, -1488186504844, -900388361628, 0, 1205833072992, 397089519863, 0, 1850224679712, -2296764629226, 0, -1699888477984, -1214372207070, 0, 4410823221194, -1372975493976, 0, 467560070988, -1353118665100, 0, -2932255275286, -1786334774300, 0, 457549632638, 38687676314, 0, 114680750126, 789261666704, 0, -1263157891672, -3661078754640, 0, 1952354298093, -1391505652500, 0, -1816170283900, -2646730901161, 0, -2110616370085, 89256092548, 0, -525872498616, 482807266701, 0, 2763125394376, -412702100134, 0, 124138970013, 784081964061, 0, -1767548059352, 128458783996, 0, 1277167924548, 348273230088, 0, -817445006099, -1045691108160, 0, -961876864940, 727304224452, 0, 2286325842065, -588971439816, 0, -2004722626752, 3056940580968, 0, -1681847400366, 1204334073738, 0, 1730114719168, -5513523736354, 0, -1627158197288, -235292606496, 0, 201433155258, 426679328941, 0, -3499708083662, -2354560300086, 0, -1191757486068, 1880595173652, 0, 190267010889, 933410458676, 0, 301177470836, -323100626107, 0, -3359985078172, -1148320401702, 0, -645101178396, 2179622349084, 0, -2526496739028, 2653243634820, 0, -634434086464, 2910286315792, 0, 2057146317916, -3654256884132, 0, 460471340556, -1357082171553, 0, -487947821596, -1790607499644, 0, 725530142168, -465580854734, 0, 2938121929517, -1953854045556, 0, -1624450605704, 1534387308620, 0, 365673116618, 509452854756, 0, -2109420063240, -1879669503764, 0, -3647567929584, 727305337680, 0, -503639782108, -2137106872338, 0, 2012279509636, 1897626033908, 0, -1623445925624, -3893796557850, 0, -1897034142840, -3056376525232, 0, 1265722489432, -676943614530, 0, -776266749158, 1708662369344, 0, -610157003725, -2206213315212, 0, -939741044538, -903879283754, 0, -1441397969816, 1847151880701, 0, 1003905591192, 267762141372, 0, -44364688950, 118007688192, 0, -4129076713760, -2509532561218, 0, 2422230700958, -900205513956, 0, -346375135302, 824062386880, 0, -93448751740, 503221070237, 0, 331728010184, -2067887548358, 0, -2229271639440, -501553580406, 0, 1654956729574, 2711413628094, 0, -1532323927632, -2627489814621, 0, -755151604747, 2023354755348, 0, -539974860872, 1098699822244, 0, 3702074829791, 3489686225436, 0, 1922702977872, -891641907757, 0, -2209190625314, -1237687556364, 0, 2055442316732, 794044224570, 0, -2229726577800, 1683109200924, 0, -1789921648386, -1978464493831, 0, 1102214221360, 88627834670, 0, -1886203385220, -1734999244508, 0, 513056475090, 317428358206, 0, -1538957582594, 1421753771682, 0, 1306823889749, 82250337684, 0, -4205612333296, 1564025918376, 0, 2106456813278, 77045485068, 0, 2468471245758, -2051810577339, 0, 1375656416010, -1545984057770, 0, -3430978370190, -2990318261969, 0, 1052584204250, -2552075458748, 0, 1178309969316, -2867412927045, 0, 187353365726, 2466458856690, 0, 2063473101764, 1815378380805, 0, -1595721930416, 2138785681252, 0, 1411835956620, -2609766517442, 0, -1655440575350, -3376549378032, 0, 61071752548, 772573628124, 0, 4163096853535, -411431532716, 0, -4709788440500, -1259201752722, 0, 2101604365116, -2707116668706, 0, 1260941538648, -1692284983372, 0, -621985364636, 3086647141884, 0, -1031361376894, -4403047117532, 0, 4374375283814, -4882984985724, 0, -975274681676, -4958272775128, 0, -5500996677288, -1103439447552, 0, -2933095403080, -2611090614528, 0, 1910078369682, -2188809456418, 0, -2750256541280, 806898674778, 0, 2324827305805, -1337916650292, 0, -32356168720, -3823131713868, 0, -2339754221211, -439471441886, 0, -550758962028, 1983211809398, 0, 4820490369492, 2999212902840, 0, 2317624735202, -2197724869632, 0, 5815918622976, -1352336772646, 0, -2885518047016, -406791671619, 0, -6455412044010, 1777161370500, 0, 1714678813254, -3351197413679, 0, -1982373692766, -5527612336358, 0, -826442509978, -4181744558161, 0, 568073246776, -2228838098996, 0, 357118084713, 1563892316467, 0, -2413300317982, -2224702097268, 0, -382409285944, 123995618892, 0, 6541809779626, -1991154703206, 0, 565415548884, 4010550504534, 0, -4131267299892, -2636157132228, 0, 2510155646208, 3419760395993, 0, 2647289347852, -162650454424, 0, -620531110336, -4390431119050, 0, 2046020316276, -1502519142084, 0, 2783506602960, 918016115193, 0, 1965032170033, -1024967191362, 0, -975452183554, 6090363338632, 0, 59034998674, -2184932858642, 0, -1419395481524, -1240648359806, 0, -2549438128138, 288218665812, 0, -39620036860, -1862665914691, 0, 339553777310, -1033003066332, 0, -1897869991060, -1072405785438, 0, -460317935220, 1701663250326, 0, -1028983796960, 5678344345688, 0, 1176636374688, -1334744174970, 0, -3441766542212, -2993128483671, 0, -659051391758, 1027773738588, 0, 2142534577126, 4832815178720, 0, -1741415561104, -1947523632274, 0, 88874258576, -235451022506, 0, -1437011781026, 2859785955232, 0, 214544849792, 2448609180120, 0, 803912875488, -352876657832, 0, 1642101557532, 2602069452252, 0, 322162761535, 2605124344948, 0, 618777788948, 1741003082450, 0, 261445094616, -302014692448, 0, -712288392556, 8575487490570, 0, 949664417430, 3695971883188, 0, -1486774904280, -1601915996432, 0, -2358695244275, -2800205808972, 0, -1201839845836, -851821214307, 0, -5500254087427, 3975892598424, 0, 100433800866, 8137763074646, 0, -1846582528064, 1632662383350, 0, 3824594659468, 2080482683671, 0, -2620206144572, -469449450474, 0, -1825947895320, 575088136020, 0, 1662546324468, 178798203852, 0, -1467104859122, -176817468778, 0, -2852820652744, 3268004444916, 0, 4647797714308, 7828143938634, 0, -3966639878272, -898134058926, 0, 714732336712, 4239909275400, 0, 2762139583719, 4389929962728, 0, -5272120649650, 4449398526796, 0, 3163508487573, -7660756175552, 0, -54057032752, -1403053817088, 0, 3959515319126, 6241669904232, 0, 455666827552, 6029415468384, 0, -443895104484, -3584932000140, 0, 1537546303800, -856876936134, 0, 3178213573958, 3303933974982, 0, -3790390593588, 3385856524416, 0, 3549045512908, -2947298324340, 0, 735705730720, 2391172918026, 0, 369656404708, -1853247740868, 0, -1134225630488, 754767156416, 0, -2687187111688, 682558054354, 0, 1931532484784, -965439282150, 0, -1235704470886, -1503449745072, 0, -4710003217112, 5390215174500, 0, -166129868581, -897397548750, 0, 2225507574164, 8848138550551, 0, 541480723926, -1706142119028, 0, 1041576557194, 6977888306556, 0, 6862945307284, -2517154304378, 0, -493769795758, 5004362186413, 0, -2296020614772, 3035837812584, 0, -1089626858640, -1884830511894, 0, 847869778282, 3971221022788, 0, 5090934526958, -3187573606180, 0, -3364324655010, 3669522693492, 0, -904042241448, 1749646123283, 0, -1541715086960, -2232282746590, 0, -2749298718324, -237332652732, 0, -5039644535516, -1476637794624, 0, 4434267835676, -2517873789756, 0, 4119598625350, -9031765614862, 0, -442404237604, -390772918458, 0, 3522238005960, 889133778764, 0, 2826612614180, 70388898719, 0, 4590293843568, -4198949661480, 0, 3942233895752, 10904834868276, 0, 2108808820164, 1913874464784, 0, -598212455342, 9234636189302, 0, -1416717527474, -3965589374016, 0, -966390181408, -687062654280, 0, 2917931530342, -3530121272908, 0, 1536421758632, 6537173195054, 0, -3026309899534, -3388672756698, 0, 896812219960, -1427677614003, 0, -5987932284558, -1687669991108, 0, 1750252618908, 8131598631474, 0, 7566961003694, -548020088492, 0, 995507188476, -702705468059, 0, 3157936281577, 2894784608624, 0, -2218404582564, 3180874610430, 0, 9860928948746, 2151948106896, 0, 1459632532132, 2123530526328, 0, 3320271382622, 1856258679792, 0, 1029170437738, -3532235125959, 0, 149513688448, -6845275142502, 0, 4096288804446, 1784799680616, 0, 7910531017592, 795146985472, 0, 5104694603432, 3301290041377, 0, 6333425835632, -4387666272526, 0, 6255512861164, 2641273187688, 0, 5964422918168, -6214069589724, 0, -4142578298238, 976099207392, 0, 246178955226, -3319557161760, 0, 5374703297030, 2767492361536, 0, 2664640661760, 3579746140592, 0, 2191060243296, 4770008498513, 0, -1172441167568, 4186711862220, 0, -1260916618804, -3077621773074, 0, 8792356694137, -3441757723872, 0, 5299128154580, 1319335536874, 0, -316069727821, 3205510888940, 0, -374973345008, 8279921048360, 0, 1931999806920, -980529464120, 0, 6472891843964, 3606542328180, 0, -9100322028962, -418656694014, 0, -1447158837780, -348788049657, 0, 1673768188616, 445272592940, 0, -6722639263642, -1162240241396, 0, -169104720718, 1071129405184, 0, 3815491547086, 9361237312276, 0, -7150855082598, -590357020368, 0, 32465428011, 6808448648752, 0, -3899094456078, 658968937884, 0, -3165405992932, -3219615282264, 0, -5336550120598, 6612862663252, 0, -9982681707180, 7982983230576, 0, 2305163416464, -9057371987690, 0, -1354099684180, 1705977965196, 0, 4463883768448, -4086098977056, 0, 440919847068, 1794594830432, 0, 5153486035552, 167432328890, 0, -178223664728, -223804772082, 0, 1444429032231, 2563251649754, 0, -10100636604616, -295157729351, 0, -3476427302382, -2161632174024, 0, -1128193007592, 3860384793880, 0, 7522118265653, 7866086822884, 0, 1297322789358, -5542517324746, 0, -4236845871168, -5885910891330, 0, -4613996020964, 6606342173981, 0, -6371706306744, 6369798990244, 0, -7706471178120, 1132273758438, 0, -5358541776789, -9318342377448, 0, 4858566936046, -1108563228745, 0, -3793522757934, 5385173958108, 0, 158508971536, 4496596435080, 0, 5310369322282, 10046860184476, 0, -935276625692, -6802635672459, 0, 6392109565276, -3001340838636, 0, -1692944294736, -1710463724614, 0, -3071021682674, -2044958409150, 0, -9045225738092, 548148697296, 0, -4128691297311, 6074744007504, 0, -3145407844916, -4839879093491, 0, 1108904474322, 1008430681570, 0, 2822278815844, -2200865579256, 0, 31471687229, -2112093538452, 0, -2136531830478, 3166967960450, 0, -814501312098, 1781011359700, 0, -701513176100, 741572522445, 0, 8705098709528, -2872332083156, 0, -555099940412, -4090569208280, 0, -1183101062405, 2561687390076, 0, 4747547596904, -3623551871499, 0, -199815337276, 1796717177952, 0, -10245873923600, -7533379526903, 0, -3026199355203, -4840298622382, 0, -3470439667604, 5444699819868, 0, -4301498338282, -6617596598888, 0, -20545896166, -741383945178, 0, 2357516347961, -3116663971218, 0, 3396635205664, 3730098250590, 0, -1464743539708, -2086857379214, 0, -9051453339132, 660301698992, 0, 5431130379556, 421915505666, 0, -294273831336, 1781085556506, 0, 14155708371993, -2447266574976, 0, -10544789723748, 1958396561972, 0, 3195368157690, 363754835604, 0, 290536091760, 11166136528191, 0, -1981629006144, 4962129713616, 0, -9489990915462, 1041689096522, 0, 2381045545792, -4141219131268, 0, 6587395401812, -1329525778296, 0, 12924537860743, 3727031440252, 0]