# Stored data for newform 91.8.a.e, downloaded from the LMFDB on 23 April 2024.
{"label": "91.8.a.e", "space_label": "91.8.a", "level": 91, "weight": 8, "hecke_orbit": 5, "hecke_orbit_code": 18014398643699803, "dim": 12, "is_polredabs": true, "trace_hash": 276977349573478342, "analytic_rank": 0, "is_twist_minimal": true, "hecke_cutters": [[2, [-1109222885376, 1479835713024, -278531100864, -42990372480, 9905539840, 520830672, -113159964, -2852052, 561506, 6942, -1243, -6, 1]]], "qexp_display": "q+(1-\\beta _{1})q^{2}+(7+\\beta _{3})q^{3}+(82+\\beta _{2}+\\cdots)q^{4}+\\cdots", "char_order": 1, "char_parity": 1, "char_degree": 1, "char_conductor": 1, "char_orbit_label": "a", "char_is_real": true, "Nk2": 5824, "fricke_eigenval": 1, "atkin_lehner_string": "--", "analytic_conductor": 28.42703731905508, "hecke_ring_index": 576, "level_radical": 91, "field_poly_is_cyclotomic": false, "field_poly_root_of_unity": 0, "field_poly_is_real_cyclotomic": false, "hecke_ring_index_proved": true, "self_twist_type": 0, "is_self_dual": true, "is_self_twist": false, "is_cm": false, "is_rm": false, "trace_zratio": 0, "analytic_rank_proved": true, "char_values": [91, 1, [66, 15], [1, 1]], "hecke_ring_generator_nbound": 5, "inner_twist_count": 1, "level_primes": [7, 13], "conrey_indexes": [1], "field_disc": 850100195135683311269490741910036182186274143146657035412213746090240, "field_disc_factorization": [[2, 8], [5, 1], [83, 1], [167, 1], [239725356908278441, 1], [106895960046168213749, 1], [1869779167608678435502717, 1]], "field_poly": [59402280000, -835334324470, -344602049215, 491049966, 10752389517, 186018392, -117081910, -1739560, 567554, 5598, -1243, -6, 1], "hecke_ring_index_factorization": [[2, 6], [3, 2]], "trace_moments": [{"__RealLiteral__": 0, "data": "0.148", "prec": 17}, {"__RealLiteral__": 0, "data": "10.364", "prec": 20}, {"__RealLiteral__": 0, "data": "4.349", "prec": 17}, {"__RealLiteral__": 0, "data": "297.870", "prec": 24}, {"__RealLiteral__": 0, "data": "266.301", "prec": 24}, {"__RealLiteral__": 0, "data": "13406.835", "prec": 30}], "related_objects": [], "self_twist_discs": [], "cm_discs": [], "rm_discs": [], "relative_dim": 12, "sato_tate_group": "7.2.3.c1", "atkin_lehner_eigenvals": [[7, -1], [13, -1]], "trace_display": [6, 82, 1026, 4116], "traces": [0, 12, 6, 82, 986, 1026, 309, 4116, 228, 10902, 6668, 12168, -183, 26364, 2058, -28790, 85914, 82710, -44965, -10302, 141318, 28126, -97457, 98376, -519981, 272736, 13182, 306652, 338198, 350592, 231528, 55092, 114420, 609912, 812002, 351918, 1472143, 376310, 2825424, 180154, 2169290, 1387272, 105987, 568708, 3392031, 3556226, -1736829, 1359444, 4151249, 1411788, 3983712, 2709260, 2166242, 2061780, 2196651, -2112846, 78204, 2359902, 670268, 395964, -1052376, 444006, 2854353, 3739386, 12026858, 2254122, -4605681, -3094010, 4668954, 3839892, 2287124, 5694366, -9780585, 7052346, -4436259, -16288696, -3051830, 4173624, 678873, 4304160, 3807018, -6689556, -4733665, 2704554, -62769, 9301878, 1510998, 16231802, -70453923, -10986042, -12851300, 9042852, -16505451, -47230934, -24306151, -21839424, -86512741, -24462382, 705894, 11555078, -54592166, 25808892, -78277256, -6199764, 500916, -9874970, -19344768, -23537880, -205413, -17613090, -29897784, 12505802, 29468502, 8711094, -77825130, -45789146, 93698262, 23951694, -69988550, 28369530, -164407196, -3913442, -108565347, -10745638, -32691389, 94833054, -15422995, 106320584, -107656092, -21905950, 14649596, 175553076, 154301515, -3533586, -56357781, -65122268, -18290186, 7685514, 43029405, 52594826, 48472074, 71078954, 41121400, 26733096, 297062907, 117716730, -234305799, 9647218, -212198527, 6676542, 154825991, 86446042, 295881306, 201200550, -33427751, 14212116, -402051, 167358472, 22403097, 118380722, 47152522, 33742968, -94546270, 154735780, 325580343, 530636288, -59022506, 100574154, -178353483, 57921708, 31657440, 238377534, 211289764, 295564206, -719042208, 93548448, 39628191, 17937292, -327482594, 232438584, 130876010, -31725028, 4521426, 123607396, -446172637, 362962062, 461877455, 37117692, -188387877, 105181636, 32959822, 11085372, 461292017, 342624416, 346868811, -63251630, 116001914, 316762944, -779527354, 547196834, 691159392, 165215556, -703853621, 120253056, -54879068, -276782020, -53605686, 271943952, 188753058, 13450506, 79414104, -590537240, -1130420490, -368192628, -646550156, -87774222, -1018497435, 18896556, -820945608, -245154820, -492341368, 181713870, 669726179, -164792660, 39246060, -261433794, -786033415, 230410104, -2279990722, 625364976, -1504648014, 209199816, -1461575234, -672537558, -98788105, -619852100, -352866714, -56558188, 278516686, 110970720, -1679205556, 390735442, -813538581, 945563986, -541718183, 120707874, -1522739747, -22633494, 799701489, 367911294, 323893066, 716955318, 504945049, -2330846, -1579502859, -132814244, 1151744962, 703348722, -2432661856, 129074330, 310475646, -508932000, 838402980, 1210608156, 299399277, -134929530, 969120432, 119821050, -2162333413, 929285154, 147079236, -775417302, 430265022, 61792822, -407924252, -2066365374, 3605769061, 185068612, 962648052, -799485690, 744066470, 126338034, -2326618841, 1722589568, 273756624, -292977290, -214113029, 475834296, -1230061017, -53952532, 3944366310, 670210040, 3182061267, 517540410, 36353541, -222823500, -671553057, 932879232, -1446157471, 216132072, -1879058529, 195066844, 2262922656, -3839650708, 2934197694, 2374901112, 410552798, -1802904958, 1163466633, -275362608, -3663652338, 1000738566, -1142398257, -911870762, 2713066077, 1219785518, 603116815, -359403312, 7079827536, 619809466, 5323114650, -622036720, -595732347, 682872018, -7647560630, 599200992, 2704551552, 1306343956, 1531848173, 466289292, 1626187824, 839295026, 389352672, 1465923166, 1127164842, -1527854556, 1423878407, -2998324674, 28960854, -3539538154, 2532216512, 4012526460, 4742942526, 484243284, 4710351516, -4976059534, 4553647712, 1696698648, 5275149364, -2820631730, 1366413216, 673714444, -8730874699, 2433446640, 6497584922, 470890618, 5147086176, 929276180, -2864985084, -319658742, 4601374726, 2956627504, 5758421055, -5866218638, 743021006, -782046708, -3434743073, -182813614, 7499886513, -3006923056, -1875501472, 707190540, -4774984289, -3864589692, 5744389464, -3686505738, -6853908495, 770250624, 753451293, -3764249718, 4812836928, -300762078, -1799576628, 2138195406, -14899779725, -724706178, 5986181886, -8704392700, -2882023971, -2860188816, 508667016, -5155830054, 26823972, -6624807304, -2355404159, 977666010, 8509625282, -281586986, -6703352976, 809446386, -7580619174, 1073736900, -6252781061, 121037124, 11811444291, -8598748426, 229901924, -1032060396, -20525062828, -2437511458, 5499633180, -3497767100, -5492219806, 135815652, -8465492304, -15279359132, 251380740, -1813355852, -3901599982, 1192735602, -360964968, -8035025070, 3824295192, -10541944210, 1461041734, 9730815876, -3140104288, 152294058, -4369755408, 1339976664, 2158260114, 693614328, 8173937951, 2595855344, 979043079, 3914684866, -8961655864, 1967161734, 1655168257, -957458168, -10739591124, 1282609398, 1783968394, 191679924, 853118091, 3273831660, 15863661651, -6708326394, 4125212294, -9904249848, -1860509805, 4684732968, 7605508791, -2413092000, -12365174128, 773163846, 2681640166, -4703725262, 4000145526, 10397069420, -8361953280, 10418071680, -1579748583, -4825615538, 23385917766, 1310157486, -28005149, -1832257218, 3234298171, -1061245430, 6096611166, -10066321264, 1799370842, -2565896934, 8717136031, -19214111808, 1601451222, 9216444464, -138757574, -2222872566, -18843445476, 826753070, 12672227646, 1317082956, 13698755167, 11386163436, 2045504820, -5951683180, -6714048381, 13855485376, 784483532, -7068592620, -14872148879, 2249217066, 6207456528, -10947485382, -16678700245, 1953167538, 24124403364, -6623462840, 10043487960, -12533409102, -1115581383, 3549515604, -3354740655, 2229374658, -9953142945, 395798338, 16491770857, 16748984742, 9378044796, 2418954678, -7013732580, 29668804044, -7267101042, -9722756184, 11422698284, 11191556132, -1521636837, -17011947776, 4765930130, 11744090412, -6887944928, 328947532, 39786662052, -5587022728, 23032484446, -14614424982, 39565093671, 5364315622, 2476267026, -11454294008, -1046777690, 3047836584, -320414754, -3938536480, -13143403443, 16426706730, 5014649257, 1431553032, -3124034124, 20803303934, 19572980829, -1999221108, -19682919666, -819264678, 232853439, -861679148, 7843551456, 25616168592, 32602216037, -10045990038, 5415863575, 1476326880, 15443587146, 7774894340, -3790510428, -6750936144, -20250073628, 1249451476, 1305807174, 22740535544, 20642795258, 20628397428, 4222508991, 14160306338, 4045853565, -2294517708, 23844881708, 21785213058, -56676524008, -20163837880, 7452292107, 34116186268, -1623647095, -15960864396, 40144532755, -20211567252, 9595998954, -33929550836, 21889520328, 927662022, 1347056467, -17673656854, -51533165883, 7813028522, -25908455822, -1507953402, -21529767, 13087530724, -28849228284, -15872164622, -58438082303, 5936311530, -8604620823, 3190544154, -47091906135, 12810203064, -3815813313, 751881744, -34318225279, 22293436044, 518272314, -17096477848, 7230568152, -12947643414, -41296261903, -20008697926, 57047467866, 5567508086, -44511584644, 2986698468, -15023869458, 4665259216, 6753897474, 11199688240, -24165695589, 11374478520, -34983094238, 15817974984, -15766010436, 9318850386, -40963756130, -3768212406, 9120294053, 57008072256, -36715547304, -30701445040, -21498456319, 24629712840, -4407995900, -24731248064, 1897005681, 34681781502, -26164307915, -9245853456, -65249854708, 3101698236, -42157794048, 15625371858, 13391873858, 21175535370, -57290353132, 37269137504, -5661369693, 5510839770, 40337959996, -1062587490, -50762164884, -11996358160, 8752215264, -16200210362, 28595673184, 50738095068, -10207255686, 4888260468, 39573777075, -9177650922, -8337009793, -29091249720, 29973255044, -38898588474, -71635002333, 5952244220, -20312916028, -7490922432, 21069962200, 2697367068, -34875679524, 28205247510, -87226242296, -6233953626, -29673870163, 35648668546, 16196074401, -79403407156, 4759233674, -9931292436, -5734522751, -8390597026, 49070804148, 44670201564, 10118812461, -10621053474, -36453260836, -927010298, 242121642, -34947123328, 15811147268, 4529730660, 2992105712, -18834444802, 22758798024, 3963391754, 27419805332, 50361569406, -138160392520, -8321845168, 16949865570, 11566908518, -18725112938, -5613336660, 4826042247, -22624447286, 19154096895, 72186124358, 24991324735, 8852449956, 119652783034, 2612991194, -25729215768, 29052249480, -77152306896, 27168293838, -26849098808, -4641922662, -16091524206, -67872990264, 44570799796, 45065612574, -937180562, -2126519052, 34958530308, 34073757294, 64135574695, 8479223544, -49711162342, -38984808888, 171814188, 35724595884, 18555295386, -4964118846, 68606689111, 28365638142, 34979287488, -3387114710, -48061662437, 37422654846, -2265552920, -23752479042, -90086440884, 5184704694, -6635255424, -28603536828, 172880442989, -6361372758, -31268340870, -9761391574, -347557140, -8073492840, 124208865188, 23970503240, -56151773541, -21007053418, 1472578796, 29664160170, -70456659, 18845417092, 60195781116, 11468018102, 86581413728, 27189028458, -67843483079, -6041289870, 5248244664, 64431034482, 10381787301, 869932908, 52847956905, 62943516302, -10254939912, 21751497944, 43898186934, -35304973632, 23685668018, 3040425578, 41357494155, 4289490086, 42426266450, 31450177164, -2312070072, 11233280948, -108285457692, 28505583200, 10107696186, -8075663586, 61310767240, -89197292354, -32308819239, 51884352262, -25333739242, 2987905242, -145254999606, 975481182, -32509564992, -16176148506, 92097763220, 51565557354, -26694019590, 20067877994, 783261384, 20876327642, -9518625634, 68722286514, 134216746203, -15705677078, 6271013541, 28842755032, 32881789141, 70653650508, -44715669608, -24369964792, 32138503866, 7362524028, 145566943153, -1236503028, 44359073196, -4014322038, -35511326190, 8215431042, 103832841688, 41748828624, 73269846278, 33797589940, -52516610178, 121710388320, -24006072650, -128239318716, 86735450350, -13050697290, -117530216370, -471227882, 26423007026, 9730748790, 174769700760, -4358250176, -129047715102, -84853761116, 26720916309, -18790095594, -56391668228, 19887885388, -36093203037, -49521007392, -47819356150, 4952306034, 5195716636, -1342310606, -133335723282, -57589917758, 38280421958, -51550822248, -158894740508, 14820729306, -37237914021, -90043336400, -5724548872, -38623448976, -10118681157, -73453207244, 8208704244, -3685753834, 75766325198, -57259145412, 81026421029, 26044778950, -37079994180, -86703351510, -11213146427, -80196394458, -74329092644, -6797539970, -250845685776, -25233297530, 30854519356, 32527737522, 190168284109, -11745657166, -134428588950, -31523703866, -21532300940, 34120515528, -5290087285, -145157516172, 10257691938, -28001457756, 144558055778, -80632343016, 39164492701, 36467960312, -28658914026, -99806035612, 59980513369, -57316467252, 116244246475, -33738076702, -36926039556, 8436242724, 9312967084, -143798821650, -39202999375, -1601936106, -150304580385, -7513740850, 191325816605, -28478175462, 295125164256, -72518518720, -85091696760, 108290818934, 5024811428, -134817134244, -225717200574, 76546301318, -90396007380, -138264146568, 94242226322, 60214705068, 115931911588, -59547114048, -53073016356, -48489475002, -15789666058, 12510522102, 52925419645, 10237408060, -38950725876, -82603430904, -92961600794, -58009160946, 50928479588, -1212019998, -147069838023, 61041172068, 173260059060, -117756613092, -21487945245, -967105630, -19330718883, -138552451768, -48061943804, 12919210182, 143779211583, -59460851634, -159894603162, -22336937924, 29143533824, -94541257836, 191649147375, 15494004162, -111198076482, -29851264130, -6273533798, 28920658308, 103785978228, -168896842032, 138655249914, 168105336568, -65148077274, 2636131302, -118501537084, 52224523698, -9746461023, -118706642404, 24382287204, 33653847408, 14759085915, -124236249606, -199339677129, 22754868324, 160294936890, -69714397584, -166786817400, 18040025318, 101485325262, -35786265112, 179523319597, -45625601010, -112640239612, 109316974894, 16625921382, -6828965070, -216166994584, 83772298494, -49434707105, 93757165432, -72090211788, 24380081222, -6704870510, -25496298996, 95545373428, -95487169488, 25204189761, -137143198596, 14104640200, -8862663246, 137864985836, 48563794874, -4321001415, 153396823466, 26923926300, 9169451928, 160640051500, -77791016084, 108522633249, 48969403176, 150540927860, -39615374610, 101892577101, -85335922418, -115789066752, -139262483586, 260860341219, 182863990170, 1491483981, 40376838390, 28372068783, -20094731224, -16176695798, -16426337154, -39367766016, 110925756436, -80366889057, -253689232668, 10672510586, -48410133588, 290886453462, 9456239520, -79022692134, 3308995774, -75130067672, 99320922732, 71417127520, -58776328562, 92251599861, 10093183286, -72784094761, -47359664832, -50507202350, 84344378256, 8364018546, 335423162808, -1028811888, 2290053906, 352259070894, -96131452642, -102549173295, -71039072862, 266774496844, 169168886844, 53105314913, 91373463234, -136404123792, -14696954532, 260313193968, 5945505942, -361350686595, 29650992406, 215099171205, -82576883250, 84529109960, -82359655152, -85585617508, -33610055462, 101487287958, -67544213968, -10399862005, -34353735174, 527447875510, 297107447656, -171895919892, 69011788650, -187366990929, -41553511278, 650356017262, -75813005212, 38613573969, 32703833036, -11465718593, 5941905138, 20763933196, -134547233026, -294098744376, 107889138652, -51047730159, 4874755788, 237383293397, -29611838568, 412829548758, 16235470994, 2772284136, 93734835666, -137903493, 108434508736, -87911143254, 83220491926, 205736302288, 162058316562, -273184473792, 57403955896, -232286700039, 13316661164, 144305422678, 268097081082, 710799119429, 20436225966, 7684262271, -109002568942, -102702896632, -63000671274, 370472983848, 33217572378, 71396456304, 40604587646, 128534050209, 17381627124, 70941323846, 150717283580, 3319662606, 46717442188, 16173315046, -412831071492, -511644779124, -44399856102, -26075067654, 287123676906, -173824340083, 11573838024, 46791674781, -40956913712, 243712479906, 35661268994, -28695154331, -33451658148, -32429370610, -338604184932, -85742988156, -250452341808, 380706047341, 157828707888, -498262623212, 53074372540, -54699136428, 334794622384, -154787268831, 40011234972, -55105973656, -155428229394, 111674057649, -97284572156, -518319102973, 200396449308, -347168578961, 7119462942, -62348490168, 182008246784, 41493724738, -24136334274, 27288164212, 139305998988, -137786478084, -275064402760, -20244719558, -132440201970, -223628729305, 102046446746, 92124662304, -122059639420, 159455697491, 34496934822, -28234306100, 3378147644, -21212602848, 72421437564, -30396667836, -40241201406, -61175244669, -141344591680, -312505438356, 51968127412, -382354181632, 184267992990, -155605905757, 19867145844, -25797746265, -300485287090, -120573904246, 25605150516, 92803706281, 111435793060, 10858501920, -278719867982, -477977856873, 19068373230, 158429952084, 308334405524, -36262475847, 81763494162, 244616712177, 202010324376, -685418710469, 32802816026, -619350344388, 228888445392, 72472389052, -279580833996, -439164868878, 128138342428, 263617117908, -103766361998, -368760895780, 101378522658, -412279871179, -193583926136, 483748309554, 40630871218, -34384727698, -236332777302, -246631477344, -85180692680, -284896047408, 68387403562, -53400613747, 262557262992, -230181723190, 32087117664, 47454800235, -262233818734, -474279266244, 410107923918, -577426947980, -124900861586, 13592469513, -154351926086, -297511837844, -47981214528, 143603933842, 184112794310, -277199357190, 6152491156, 115899901084, -232466036022, -37712252889, -331198396404, 224177619894, 52705456846, -112326529742, 184077770712, -190068491977, 199014392624, -166977637902, 10243550302, -920710944284, 79726434312, 434147930026, 211303891170, 684951434055, -537041322106, -68770552492, 752251874706, 44890471430, -53743853254, -759600356454, -57919778026, -122077017365, -122164248150, 151072076694, -10881684604, 624657785001, 12585244484, 25945664288, 151808140368, 365742024776, -133123073160, 1550849118, -506395330572, 216677038284, 343549941636, 141811444508, 91646091526, -205802567238, 42397336828, -139891746901, 234947370672, 493292327524, 208328291846, -139826119608, 25386506366, -153037214491, -106343048850, -542647395516, -480671426412, 7855183644, 180235698344, 286992136804, 124495987266, -281494408254, -372538586394, 496478835342, 421690430888, -119938988702, 295446356388, 158423967065, -161522015712, -545408861904, -216360456642, -186044956458, 233252168412, 192480322422, 12731368356, 322849560960, 543447346482, 240292762813, 56702135724, -499340174290, 84768218846, -64617041811, -602218908668, 173766851604, 189347649228, 556479810156, 81132212914, -182344195836, 36077301148, 641091596475, 638187381732, -171975131432, -301049549392, -250831952532, -71412893858, 11305218946, 411832332126, -912150899540, -4255531138, -599487239190, -16526265766, -56551747024, 3802282596, 368318264045, -13620881508, -406164968628, 237844433814, -515062383923, 392045004750, 158223161831, -437110096736, 243876745383, 124241949036, -321928510417, 564946329942, 11687456345, 117520174688, 1100512452, -145454126466, 172142829847, 180979912980, -913326692339, 321974831432, 118976002173, -204187927102, 204119776372, -14469843696, -521769454156, 475418372398, 239664960057, -21695309090, 261701832303, -169340824284, 194016645016, -93145587594, -84607716636, 295975054132, 39788656502, 68350791030, -172163775788, -12542825906, 63648866580, 422310511410, -42500455296, 108649689792, 552966011856, 262525284868, -511825655970, -117077203372, 507665124736, 615855368382, -267377882422, -725219688656, 53275893804, -121994372004, 167788634912, -51712722360, 322695932776, 187688514062, 483132848736, -13309310024, 330114330380, -410642547792, 743109651651, 376307353262, 237067671456, -446614387796, 53611078816, 848062058388, -451292361, 284569444254, -129275615298, 56668935708, -227659402051, 141438260580, -47974398196, -111839617206, -432238422741, -392670598402, -241421792003, 648876342840, 1011586593934, -38695958730, 25964216871, 338535749800, -42158552876, 41246798208, 222426481376, 278562498112, 979216942836, -345668280936, 204767066597, 643787366784, -18823520324, 245023795204, -65685431448, 40648866644, 258755726110, 553382914056, -446119233502, -94936232860, -42219627348, 613192527710, 613308378558, -270106510764, -25480591162, -2811644440, -18386750298, 27475246994, 185890414686, -176933973942, -229589199030, -265670495654, 865730461665, 93276775536, 1419615304578, 656657875068, 112809973638, -156940514584, -803958597090, 649716607542, 64742298894, -210837253002, 1324727543654, 343967357078, -455279582592, -114098853488, -484248874896, 4613523558, -693787679215, -105195597140, -126099043824, 348565231460, 344985767872, 19138273518, 27239037672, -342510257844, 68495914545, -622647282488, 774300885729, 411527443164, 857717512312, -202554273320, 1081384529532, 469473927496, -406437625336, -168149215326, -170981810610, 92601369696, -387734228070, -405059122108, 20561437556, 103140061788, -539967479433, -396658517424, -900430142196, -126290071404, -755547839378, 583231911336, -163277895334, -100598753762, -1043387436660, -902595964780, -221766703508, -100580365452, 496930591644, -579412901366, 416029686195, -222689549626, -420898380735, -30106558146, 164271786573, 183556455168, 205855081614, -100773962832, -78609382960, 472697404752, -349344620205, -772094653098, -128482166394, -1224235969092, 249741473064, -736491076890, -1101067199901, 6481518708, 1635758403288, 52621871718, -288730876055, 308770770510, -672155523315, -450898294550, -281584343544, -15633550834, -415564491976, -128868420588, -2154429616, 138515694832, -839236613967, -84088103260, -153764844350, -84936176676, -924794894533, -650836302880, -319439709135, 857594253654, -168873089224, 529835410104, 505271066168, -1111018622748, 605631671838, -17919225928, 567907057172, 62327857410, 584712057188, -136439237368, -594594924867, -299761179572, -661926940075, -140713607190, 229716079397, -622702806650, 599723130510, -806039991410, 533773381574, 318323736102, -361202609612, -56523882380, 140898617664, 196718865316, -439835150272, -722101362042, -511811289456, -503155019332, 13461398580, -1072982929826, 33150772068, 490157284842, -501103139856, -8597832074, -53183577126, -89671791342, -423855317381, -243005832072, 297491762168, -3792445832, -680699478072, -503051467760, -269609461345, 690865295904, 1233490556374, -762372475428, -238518067359, 172390225452, 501253748906, 79030665672, 968202201100, -104734691382, -1193099983368, -1372688441336, 52704758199, 672874025730, -782036817646, -706909753568, 254364710424, -23608166686, 182223590354, -760191370536, -1516852791916, 214500186768, 649625711370, -640588955924, -743541294485, 340174222116, 671640020029, -33062375292, -516094268802, -563352641572, -71822981633, 235561616346, 1225593955959, -782022962162, 1367108376003, 71755536888, 323150209490, 1101151657116, -818221452634, -1022451093012, 45583358640, 238225586392, -501320305262, 208348219638, 1412167716925, -791152440976, -388777264707, -411057917234, 894115316640, -230680382394, -452672995484, -247906712930, 666122504526, 545588872660, -251895343220, -104666638998, -33884320015, -15093565264, 808320994800, -824368948386, 251859622388, -184365274266, -453129410782, -212609270300, 1306909475877, 413855755768, -422594517654, -222487445334, 122682345537, 233586323048, -121033282902, -2154125088842, -230290914128, 505882962216, -660564455678, 310521421878, 583946724828, -19399458484, -510317160952, 1012582179768, 82634765122, 284104606992, -236520434124, 158407228974, 95531223298, 23734647492, 667818803580, -1038391179682, -1283693362626, -346843374242, 712422854666, 38062956960, 387194878241, 1082536663374, -151687766955, -48127372150, 117476160309, 389056118112, -575967505708, -734717319490, -637072135668, -772824972504, 635034824071, -168369996558, 945649907880, 134022256606, 289859807454, -288336753638, 32185162412, -859414600248, 54562234494, 7300908396, -279043733283, -867332988794, 1355589594654, 330735607188, 1238351431257, -105300216448, 833023722954, 324328447198, 517154013775, 385690107972, 309428233132, -736166026666, -1933597277412, 670022165438, -185809336769, -217005105732, 1427944351970, -659285500528, 727402882560, -271139937030, -1501340291580, 41402800782, 339000428455, 576041188096, 1229474702727, 919188122444, 751273001120, 459427281090, -522299733221, -815689615324, 1345422226146, -2021566225018, -822598424984, -538521756174, 599773925111, -7763288442, 477869645976, 90083273144, -391272033400, 416801869068, 451029087891, 353458542032, 274297610727, -545299406720, 1715635002805, 550499706342, -557580876964, -188793830160, -123818044857, 126193573842, 354230869556, 1258183762764, 1168349985690, -348561455700, -1055357922786, -702193322060, 111095321638, 515137041672, -795969343097, -940362050836, -731388066021, -143073622796, 853908054182, 245915674074, 462482605322, 619198984720, -361530452892, -1062289849070, 85703368020, 1071231247812, 173196151807, 387234519152, -702455861154, 25677134642, -40183538642, -132895896024, 2145582290760, -799480178, -43122074388, 284497266052, 909612484750, -905423036916, 12080860087, -1011332591498, -541769480637, 801751633338, -369486665884, 16885074258, 1142346241175, -402822431080, 874753837779, -45555285692, -526498199060, -216563007138, -275694111621, 629893115846, 916924659426, 1852460110798, 395048521966, 771466717896, 94535602785, 181969938238, -1092807725568, 279131024564, 1404698990514, 241248611646, 3102446653961, 573708532872, 849468227436, -142727789120, 75174100055, 1926659109972, -834403016608, 115550832722, 511449755403, -1726943985168, 1907609894064, 879242662056, -79039754260, 44272495190, 586363781256, 62589071506, -1469926012344, 210625663542, -1704473792764, 167627977612, 106493146578, 791416573608, 1137556250066, 1592740240740, 1343846296078, -1254901302028, 1027527959196, -174563676000, 710453744136, 216563345592, -304782784092, 328690333808, -858361406478, 156160461938, 287572222140, 347590815126, 356661184924, 364868444530, -1248115176441, 1069128501186, -934455544660, 415238597508, 2400277148864, 549116738976, 939372330054, -83189897912, 90343715800, 203708849544, 102693952011, -373655789420, -818732589453, -617958371508, 245051160904, -462097564368, 436395113476, -46280828790, 3000405644190, -422031542028, -928747673803, 58732611912, 410046430552, -226457533658, 332408308176, 674890159992, 1265813170403, 151920498804, -1686860783890, 614935323448, 1104732292788, 41098620150, -826735721004, -483603380556, 652647206679, -1185026533234, -615579954426, 1125828349850, -741680360659, -69335940780, 1963958895298, 702414195454, -1690146191460, -786708338794, 644534210082, 318744807822, -3041105945909, 258623655810, -672895738203, 273662363944, -1702179138710, 469849699662, 50448177948, 588167688634, -1399191300876, -788324790728, 806387236736, 616822122522, -1592300328363, -265968134586, -514769840403, -1287115915204, 2037589888842, 748429982052, -497785510373, -996934285748, 147580902546, -2835644955408, 399160334218, 121803862176, -2659144102690, 1068573202706, -3015663926508, 21194937946, 237972676462, -1159525627800, -1283774916580, 767262734432, -839743438644, 1373646849768, -139918018436, 421134570642, 454564076668, -1530212958274, -2963656055631, 1655661516034, -466200163819, -708763323282, -1633776797776, 1189246589600, 427783373580, 391541398452, 1986806866728, -1116339283830, 1236778787923, -425750778152, -2964552645414, -66086970642, -350315014389, 14668362774, -1239359443684, 63478533916, -184038233352, 2079301243920, 2088453282539, -1337017311612, 1047875664108, -1569578803448, 330188281836, 836653261816, -1825077346942, -395120721504, 340152702227, 502414213416, -1988457280365, -274223591670, 40336841020, -1410597453546, 1380792669756, 307388612240, -3112696135446, -980410632612, 255214799210, 339380198538, -2783594969170, 189921954274, -2928111397236, -1854085056664, -837917141246, 43333945662, -1630366431875, 183100569590, -1130354008548, 238603802330, 3921626774368, 350760382362, -798030262463, 403067067724, 650051229282, -516173616230, 1200254252482, 778486900050, 244050631396, 590848221824, -226559653425, -1639105796574, -2558891171501, -949199570520, -704924260797, 524791706398, 93898522032, 442037608350, -814091515044, 173286730482, 3947978416984, 833173625782, -1624781493699, -100491210470, -55933434163, -222023469162, 1172148784349, 465874659820, -4572932833404, 214490878050, -73440768947, -526979019912, 601574659052, 1746941707144, -3158455621800, 431709948842, 1141362491683, 163211163528, 2360896834300, -753616604796, -974192028384, 2319382838300, -1970725995222, 31224018852, -421910928831, -2052304575446, -2344739857014, 2219255700726, 1733535317748, 1834506570054, -380740975223, -18505718476, -560046999255, -2183539846056, -1045583781564, -566625773772, -883306047, -1883226522882, 1352917644330, 2659299521540, 4114177918285, -1377913872096, 1449447293842, -842081886780, 868044447240, 229882043720, -2191409011248, -1462426262964, -3835345045456, 367686562984, 218431732524, -984192884404, 1091447014581, -14657337804, 2294394819205, 2309057788942, -4397249992284, -1358844957128, 3094989480617, 177516360630, -1741800107770, -856016768288, 49219604109, 637381334552, -1208823225634, 1334960613798, 12469264563, -1581595572182, -1936605356088, 1058883794808, 2095491499059, -484585402290, -1280649284048, -76428460500, -1896678055122, 260082446234, 720947492249, -207467813502, -1532841671926, -1767359776426, -230342698551, 990475045066, -3128240502360, -991700221140, 1572822608342, 2852025467326, -4253536333866, 319977576576, 103594090834, 891786532446, 2425687714696, 1686213756480, 558760623876, -621713329688, -496032012553, -1788702542070, -3261968457778, -1642968821568, -4260130504248, 256925696596, -4766008492003, 74133300696, -2055681408914, 1466270286406, 1901922905196, 1529251297312, 1604134376010, -191087300286, -644517075447, 838312166980, -333597875895, 716117197474, 1158116031912, -67333781670, -207718155190, 66907927492, -2717380309056, 3738356703824, 1514207808414, -1419868681530, 8298732426623, -1959117267326, 776182471008, -1049913701368, -171992990081, 2564385212046, -206158417767, 339954508660, -752509700004, -1317000192844, 1214400855932, -1215995077836, 12631449112, 3920275949566, -1585797770808, 682001126954, 1006429809042, 1540249462530, -1943650767636, -505243367000, 715300013571, 1639896259838, 480154367249, 814591081416, -1623696588426, -1760429301192, 417404653395, -1288761374952, 626844650352, 1693468044144, 140819609714, 103838471088, -6574406307651, 1165807924736, 558766995584, 497723107782, -692601478086, -618396400594, -193899530304, 680747650092, 2150992563187, -26835997884, 5054407039148, 460230584180, 399069055119, 850302777588, -129672445682, 2216869920552, 4493618014532, 794743992714, 47044893213, -94449374544, -505705599612, -425888138832, -258349591787, 1258024254468, 2414714882007, -1337004798706, -1256632751934, 220961416338, -2881698435543, -426918989816, -406337416626, 2511534396436, -789186007618, 343253328138, -4329658021191, -172479247238, 1096561921248, 5166418036352, -632832658837, 963115177380, -391842602151, 155751686504, 1383298086852, 3728654490652, 3806444160488, 1047431879088, 1580167882012, -312771671366, -1477794211140, -3723596786176, 690272803587, -37409161896, 1155578365328, 127253992476, 930581664411, -828582749766, -366661185697, 1651301511834, 4203246563720, 3557913965990, -1239708600756, 418386432674, 3293679469612, -1821964927944, -189140902897, -914783658438, 69551395680, 956573618604, 206869067545, 2424722618472, 44551128919, 505998190062, -685155405828, 442539761144, -2666962687260, -123275336016, 2588641879500, 3308096573834, -4306911281757, 523715442198, -627302929496, -1574489210892, 2428380844848, 999036442256, -625018445115, 1594118120556, 2538367107882, -2571022725252, 4612441472150, 212594646838, -4128865959480, -1759312693488, 464203611508, 1311215776608, 4423178728568, 2160786129138, 1825828324950, -894006578532, -1742540614896, 775623617970, 5836339397812, 547618475404, 1362283923558, -213358594960, 1537539962622, 649354560582, -1024544584330, -1339323380708, -955827066147, -1077494318496, -204336195021, 1541631000456, 63522342503, 675757060004, 1924159079526, 3995223299702, 1429218366364, 234225102174, -1579735730976, -1139568465388, 6513234765627, 4418033849752, 3156030077926, -617672937918, -2623113296090, 407935634474, -2852564796432, 143413893726, 2975236245284, -2371106383008, -5226905333444, 205525940256, 1366490635635, 565322290874, -2126505714492, -3882362585448, 3510968176, -850171034456, 927661182336, -1731194983772, -2014209271754, 2973677529438, -946322813398, 2164830216964, 87063135627, 448075976908, -3048374022332, -225958603212, 6890999106096, 713152513310, 2245788562893, -2913707924312, 525423923339, 939165594714, -191639057395, -1091007382410, -6930059676441, 39408230524, 1246758691289, 159937227156, -47521424029, 477968290264, 2143754180502, -1222197226988, -2049149938016, 1531239118908, 557782423632, 1910215721168, -2669997592272, -695851559310, -719479259018, -56110785438, -4424355242124, 287878193918, 985674627642, -5294806346528, 2521275862228, -1337877070110, -296191966672, -505450325450, 133547966496, 2210997453888, -4413581838361, 510667569048, 2456566706733, -5046417478460, 1961198230026, 502811645938, -1109641967788, -106787079294, -52287555064, 2187431176426, -3505330905771, -4817222214340, 386617540806, -252959487924, 287534593970, 2091557962902, 1851773322036, -1586927103956, -4490484559616, -524054112708, -1166850215264, -2169156713130, -1430642864922, -940466843568, 5666602039341, -480803979120, 488390293601, -69699886516, -743517848916, -1772123196608, 3410287581438, 2020071179028, -436594806396, -1028425363182, -2949894552144, 1539228306678, 1108546323466, -3500680239756, -2266321799713, 183283666162, 9933572922, 2573332727692, -670490200463, 926542368072, 4634032093688, -4918036730354, 4307433353268, -1214061586822, 1282644506860, -8051397522708, -3160630546233, 2698183855598, 909711510672, 271565449012, 868550263616, 699620303514, -3190334995356, 1900332933080, -6449134440231, 2608164953706, 21125491044, 1376296575780, 4705703653616, -1970572087048, 400590602832, -4840729660860, -980241283489, 1811719004574, 1626829286418, 1207566487868, 1360858141431, 1618860802648, -4273680132610, -1876835587212, 2114477608593, 166095446412, -142998531954, -2732884436196, -851584974412, 797427650214, -239024989144, -4986365894378, 1615650569988, -548967802086, 2388609348338, 451900308318, 676595565622, 122594184256, 3476637852828, -1706788420162, -10410082570916, -258312063642, 1014744768635, -2090872056968, -1757150589414, -1166318464788, 1561901165216, -920985784098, -9800765459029, -1092671414212, -1656263412942, -1691023662946, -529250100142, 581967636264, -5604537588, 81547569324, 3094759796370, -2961090949248, -5203643086782, -1823625074664, 1809376231852, 4737351869968, 753108846006, -3424165754364, 2167225939712, 472791165840, -3465421726395, -967476683390, -413888165769, 1687693062424, 1685739814600, 1068940604736, 5623990696298, -5005205169934, 468679733088, -5449630658850, 167612929799, -2020695501108, -4919645499430, -3246386758964, 4062126930456, 231084054292, -2711810306637, 1428251572908, -4640268924172, 1999240269864, 4111720684584, -317724623040, -2994690021757, 778960404402, 2464686633278, 200609682698, -5028211065036, 894317268602, 72412728934, 834672197520, -862259111538, -911016903958, 718328669148, -5603646010592, 4621973956210, 1724921269302, 2228671628246, -564851007148, -1766902594692, 4528275679328, -934389894380, 24354562284, -1933479798533, 161515481974, -5858073831933, 1016319855956, -3965451942394, -2792710529892, 3883824589376, -1071482075874, 1765450558368, 1456084427384, -1398425535922, 1559010712026, 1013458561349, 209516250548, 5090979544896, 318741729740, 1663217355038, -2063796842772, -1179584470368, 377648326030, -1797173511756, -3937991327570, -982689883812, 1670631053934, -466623774026, 752745841952, -3113332068060, -7732604913120, -5080851096679, -109642948506, 753912037609, -2958165648996, -666131954472, 7943945523828, 6840511155120, 965125133712, 1578271531018, 3924284319638, 762070777767, 849926949628, 1226021723510, -407314894494, -1810854885031, 1014123233872, -1144761727239, -3111072667754, 2141574685344, -6125693504508, 6337435991970, 873551059652, 1975138421865, -138963831110, 836245093019, 1921078206552, -262389983183, -2312757784566, 6697987045404, -2012112992834, -1649571215789, -3755013385554, -5207774727080, 1407165743904, -5797000772310, 4931238435100, 254856205058, 2320182750552, 9490070414276, -1483735706554, -9496666567752, -5372337733380, 204115086232, -268242020844, -3175561360340, -910776456068, -1985044578318, 133473089574, 2511585528562, 695928187968, -1178116874039, -3476491025824, 352528912461, 4010216034160, 6147557464780, -366711295020, -4427233397132, -62705069602, 2844298967148, -1778333107176, 2538316615832, 3011188744116, -1712621596738, -3298496460924, 2572461073959, -1409115912126, 1755134862672, -1766477178732, -3805140178388, 3104261781250, 2815474205529, -1031374608208, 3065773798664, 4604117800230, -9283538485214, 1202191444298, 4473350228364, -4327250128004, -643297004896, 849652099092, 4083261830124, -4491266646024, -1831308060003, -4910504371972, 3016603365046, 242566355220, -2752217688034, -2649315928632, 1518477184224, 2215924654426, 2522431469901, 3611863368522, -1637819611127, 2212381513200, 1114227193215, 4059515893906, 8887094466776, -4001251809696, 2547870882834, -1325554264356, 5223602197254, 362978576532, -5834708682972, -2797267775304, -4838003025950, -558322789836, 1970325586152, 691932633254, 7302400683024, 1612178561238, 10365552773294, -102964343208, 2233329823323, -1264471468134, -1546366405337, 1868803198512, 8053728208308, 3871169249892, -1779345973170, -6023150124738, -2350890613785, -3629730854892, 4630949084662, -2992318536470, -11408462195478, 2154949362550, 5927698873015, 264195964032, -503919160380, -3475292142446, -1942217406255, -2641095822128, 1450611409306, 4723294739496, 258433793499, 1696799806990, 1236540062805, -3030547767932, 532668423578, 584459638866, -120569312396, -1291137653274, 1386971366907, 3919418045244, -3265184372364, 378813873966, 7188562564968, -4038298542314, 1650803066304, 4971060605624, 2114148210257, -1501940475642, -6139565636, -608090097940, 7047209751282, -103161392754, -3182700935016, -523449389532, 1416930629208, -2276558983370, -147685757016, -5178195405432, -617254783404, 6044710300212, 5044812574045, 4127259563650, -117771692142, -6099140650006, -967047217100, 733401024258, -1015909642100, 107812409330, 4018802952369, 7375780009242, -5850362390236, -3493272482742, -5110624445675, 577239393284, 5299862985072, 597460862544, 4055597520749, -1193154969402, -1079424313650, -248574219054, 5788355727669, -1486371046494, 4959763350664, -1516541615742, 4823918630097, 472733304932, 2053260386898, 7433134842912, 414690468426, -47434493682, 5149041766055, -844317241132, 4429884835623, -2985606696100, 2673400584156, 822430692216, -343973559137, -903912817862, 7666458764022, 3521384014188, -988534222053, 29550761682, 2037456522356, -3226189901238, 1072178597004, -3484702847954, 2895983747034, -981044763888, 7486500137620, 7500537588080, -2095213803270, 836687257760, 5076130314835, 1478617934676, 174472786488, 1451031643000, 8710828378563, 4905863119670, 3791069432878, -6931435995762, 622575254712, -1768449708522, -731596027677, -8105076325864, -7217268215872, 6628191666600, 9538300785758, -1297410316280, 9200622396, 455972646148, 1442733854223, -245658149100, 9076718279636, 3821432379806, 13121034084300, -2272308905272, 5172552050156, 103933844628, -2721178346566, 2234906340860, -2483533816530, 38403820050, -807903626537, 2194175943768, 6256582583292, -2346475784812, -8460114227106, -2492953598318, -1080853072340, 335339441430, -9942819474304, 2912658278418, -220282075596, -808919203716, 6279583580002, 4752546345552, 2918801471726, -489101903104, 3401396657496, -5616675861422, -3415705199828, -3923218635558, 6968978424200, -96584336198, -805233996756, 5967174052944, -1420470692732, -1808792475720, -22819666544400, -8870984098556, -2299250070768, 479509728532, 3515422458576, 6914066085294, 1028562975822, -4024656777378, 9336377316252, 277640110398, -9438053664493, -192839965734, -14264022644137, 4955638942964, -9832562857005, 1022745064950, -2600152376682, 313383277938, 8398538397264, -4357203660694, -3160294177746, 10566221658556, 391166677151, 368291756700, -2237638864695, 1972963196308, 10430895313200, 4998477537900, -7869210280606, 2248301020926, -2144703903923, 6226700891300, 7192009211847, -6852992322838, -13232324773562, -4423680615282, 3756243205976, 41515733532, 814570046724, -7527449186590, -2671348642943, -5284757835642, 5685145920180, 263367095800, 4051325391813, 4761578233224, 2660166669556, -572208561930, 11498455981962, 7895854215456, -1803617500776, -2949370710118, -4225373035025, 6043821133644, -4618181477204, -5226305227510, 8424548540088, -2767510585924, 78856359932, -608442388140, -5732086256710, 1511171035574, -6784297467294, -538605139540, -12095576511280, -353996715828, -23098482703578, 3165892051108, 1031806654491, -2390287850692, 1401908144847, -1949227559622, -7040096550004, 1094805966022, 7454361874644, -157804824274, -1081673985496, 4548247938618, 1395283277304, -836066430094, -12371229108774, 1709695416652, -14445021987174, -4850348342982, -8487461856934, -4383239762194, 1886374180740, 6686762655014, 234904372632, 399225372390, -6518245485660, -11196987182634, 4767410737590, -1199734115300, -1172408335115, -1910007108432, 5152744526478, 3286885279756, -1279413373800, -1091843319576, -1883831393458, 7254040339932, 1471388415263, -41262775956, 5029916825136, -10638653203876, -4006201960392, 46584768636, -1931573856310, -1453681675106, 1856213004600, -7163517156572, 2300915691335, 3326235540468, -2903663860272, -362049474020, 1429732797690, -1345591039876, -4321087816283, -7049420368914, -6797303237170, -5240820182276, 1305816347586, 6330491867070, -7948482368726, 3604527300024, -2899377301708, 2101295038580, 86223593820, -7293030469246, 8423024425451, 6110227039182, -11732291479910, 2731819579028, 10464769850712, -621981057236, -9893889831264, -94692638166, -10731364359478, 8657223765320, 9577502664924, -574370045418, -1338248793826, 1406674364910, 13681605020803, -3514912720050, -67005760854, 3243444023772, 6290779822718, 409108311486, -4615419181428, -1173086710024, 353852667564, 3974121048024, -1726915412755, 3330998853330, -123810984024, 5606268567272, -5761347955572, -5076731958908, -16908179709941, -3068738069802, 2234156169184, -2756013599010, 7573853408013, 10450534764514, -10711540759150, 506210998488, -864905586212, -9370504776684, 1311733250856, -1011517267096, 257259171752, 3954526005462, -3353382120564, -3554975186982, -4415065323264, -3615886864030, -3750074856743, -5085697649724, -5009139616234, 732903238640, -4154773767273, 3274659479434, 501137314762, 2537919504528, -9681680067372, 568762776914, -13290989316108, 2278075813702, 2401234089837, 3337669845468, 8684515412325, 1373926852272, 3490611937125, 2310378990148, -16198319589628, 1413280991874, -1077055770784, 3031110816118, 8807174002566, -6388950733604, 2925868099429, 3820036837440, -20531846544, 52236861894, -3305711686758, 3734817345824, -2627915517516, -362429015742, -14308393772275, 5628591679210, -1498826104944, 10984433738194, -350056010466, -3144696121032, -11024001130512], "weight_parity": 1, "has_non_self_twist": 0, "level_is_prime": false, "level_is_prime_power": false, "level_is_square": false, "level_is_squarefree": true, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "char_orbit_index": 1, "prim_orbit_index": 1, "minimal_twist": "91.8.a.e", "char_is_minimal": true, "conrey_index": 1, "id": null, "nf_label": null, "projective_image": null, "projective_image_type": null, "artin_degree": null, "artin_image": null, "artin_field_label": null, "projective_field_label": null, "projective_field": null, "artin_field": null, "embedded_related_objects": null, "qexp": [[0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [7, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0], [82, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [87, -3, 0, -1, -1, 0, 0, 0, 0, 0, 0, 0], [28, -5, -2, -1, 0, -1, 0, 0, 0, 0, 0, 0], [343, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [60, -86, 0, -15, -1, 0, 0, 0, -1, 0, 0, 0], [901, 20, 2, 12, -3, 0, 0, 0, 0, 0, 0, 1], [609, -106, 7, 5, -3, 0, 0, 0, 0, 1, 0, -1], [992, 46, 8, 16, 3, 0, 1, 0, 1, 0, 0, 0], [-106, 202, 17, 107, -2, -3, -2, 0, 3, -3, 0, -1], [2197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [343, -343, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2335, -76, 5, 162, 4, -2, 4, 0, 1, 2, -1, -4], [7163, -1, 110, 117, 1, 13, -5, -1, 2, -1, 4, 4], [7062, -302, -2, 52, -6, 12, 1, 4, 1, 0, -4, 3], [-3158, -1140, -37, 69, 10, -2, 1, -3, -10, 4, -2, -3], [-293, -1093, 9, 52, 20, 22, 4, -6, -9, 2, 3, 9], [12344, -1156, 90, -56, -2, 16, -2, 8, -2, 8, 3, 1], [2401, 0, 0, 343, 0, 0, 0, 0, 0, 0, 0, 0], [-7096, -2051, -249, -162, 29, -19, 2, 4, 1, -8, -13, -7], [7833, 719, -62, 99, 42, -8, -15, -10, 11, -16, 12, 10], [-42479, -1789, -364, -214, 147, -100, 17, -15, -25, -6, 5, -22], [23564, -1729, -277, -558, -128, -14, -11, 38, 20, 2, -5, -8], [2197, -2197, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [26005, -726, -25, 390, 55, 50, 7, -30, 2, 10, -5, 32], [28126, 0, 343, 0, 0, 0, 0, 0, 0, 0, 0, 0], [29316, -131, 213, 401, -101, 50, -18, -12, 39, 10, 7, -34], [18511, 1626, -573, -22, -150, -163, -5, 39, 70, -24, -26, -5], [5013, -1259, -146, -1333, 64, -24, 30, 4, -2, -16, 20, 15], [13875, -9387, -360, -2543, 83, -37, 7, -49, -104, 55, 14, -10], [50088, 1892, 305, 999, -510, 90, -50, 24, 7, -30, -5, 4], [70361, -6042, 40, -2395, 155, 27, 81, 23, -1, 72, -11, 16], [29841, -1029, 0, -343, -343, 0, 0, 0, 0, 0, 0, 0], [118931, 6845, 1715, 86, 41, 62, -43, 21, 89, -26, 55, -24], [30816, 1514, -831, 135, -368, -26, 25, -40, -16, -10, -59, -11], [233611, 2516, 1415, -2407, 249, 228, -48, -44, -68, -15, -16, 75], [15379, 0, 0, 2197, 0, 0, 0, 0, 0, 0, 0, 0], [184449, -8633, 804, -4928, -330, 359, -7, 41, -163, 1, 4, 124], [114183, 2580, 766, -525, 392, 188, 51, 20, -81, 64, 32, -55], [9604, -1715, -686, -343, 0, -343, 0, 0, 0, 0, 0, 0], [47309, -167, 544, -719, 147, 272, -1, -52, -139, -44, -2, -143], [265682, 34366, 1367, 4245, 538, -209, -6, 52, 309, -85, 28, 73], [293312, 4989, -623, -4189, -207, -46, -75, 156, -4, -50, -47, 65], [-145525, 1533, -1638, 1409, 1256, -461, -44, -222, -219, -113, 27, -80], [108490, 10363, -785, 1419, 506, 258, 89, -24, 24, 78, -51, -240], [315269, 63745, 2496, 13832, 1251, -242, -211, -3, 471, -370, -5, 216], [117649, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [327747, 9473, 2733, 3712, -546, 215, 193, 155, 251, 379, -19, -319], [211327, 32442, -594, 10057, -177, -256, 99, -114, 141, 240, 84, 52], [180154, 0, 2197, 0, 0, 0, 0, 0, 0, 0, 0, 0], [169261, 7163, -4083, 2234, 50, -622, 15, 198, -56, 214, 1, 80], [190897, -15845, -2522, -6580, 3, 854, 141, -93, -243, 42, -45, 300], [-180228, 13018, -818, 14776, 384, -416, 37, 16, 25, 240, 92, -395], [20580, -29498, 0, -5145, -343, 0, 0, 0, -343, 0, 0, 0], [183691, 29928, -7493, 4674, -210, -562, -28, -240, -413, -170, -51, 662], [83642, -59368, -5374, -21491, -2803, -181, 209, 73, -344, 405, 80, -126], [19019, 27100, -1753, 848, 260, -1134, -235, 92, 46, -366, -65, -237], [-112067, 52717, -6973, 11969, 997, -1437, -103, 171, 694, -309, -95, -157], [17199, 42358, -1510, 3389, -2780, 796, -167, -298, -103, -372, 238, 495], [231382, 14229, 3494, 13004, 3117, 504, -353, -105, 336, -495, -396, -384], [309043, 6860, 686, 4116, -1029, 0, 0, 0, 0, 0, 0, 343], [983619, 41413, 10390, 11955, -4849, 2797, -257, 147, 222, -255, -42, 344], [191139, -6591, 0, -2197, -2197, 0, 0, 0, 0, 0, 0, 0], [-339989, -96437, -1145, -27311, 20, -1978, 483, -213, -852, 1084, 356, -395], [-266779, 21612, -5342, 4077, 642, 1052, 107, 578, 287, -604, -2, 189], [404801, -31611, 6983, -2361, -2243, 3353, -223, 155, 432, -59, -175, -319], [325067, -9782, 11750, 14569, 4828, 1100, -192, -174, -430, -120, 152, 516], [208887, -36358, 2401, 1715, -1029, 0, 0, 0, 0, 343, 0, -343], [481431, -15448, -239, -11872, 270, 1342, 502, -320, -865, 26, -101, 496], [-721319, -204133, -10042, -60301, -2046, -1012, -67, 129, -1132, -204, 47, -502], [536053, 95355, 7401, -5200, 1649, -1658, -254, -420, 1047, -62, -21, -662], [-399364, 65677, -2103, 19420, 569, -559, 460, 158, 1537, 88, 167, 311], [-1325593, -61598, -2085, 10412, 4941, -1718, 1103, 510, 858, 1538, 175, -2286], [-131208, -266336, 7036, -63268, -1142, 1876, -14, 188, -1402, 252, 307, 225], [340256, 15778, 2744, 5488, 1029, 0, 343, 0, 343, 0, 0, 0], [61516, -10985, -4394, -2197, 0, -2197, 0, 0, 0, 0, 0, 0], [362150, -10071, -226, -1080, -537, -1744, -850, -208, 392, -724, -794, 258], [369148, -123078, 25670, -44558, 3300, 5202, 296, -1468, -1632, 384, -14, 510], [-566636, 38642, -19112, 42191, 4009, 752, -281, -942, -217, 460, -470, 1314], [-297523, -205655, 3604, -42096, -3673, 2488, -665, 489, -123, -66, -129, 566], [208126, 29793, 1348, 11664, 15028, -3896, -81, 770, 471, -532, -126, 520], [-36358, 69286, 5831, 36701, -686, -1029, -686, 0, 1029, -1029, 0, -343], [785437, -18292, 2785, -4686, -13988, -1302, -444, 1192, -131, 418, -157, 112], [170096, -116512, 13607, -64122, 2020, -1285, -275, -81, 685, -209, 919, 1223], [1207768, 287748, 11354, 9416, -3420, -1808, -353, 1800, 3023, -520, -576, 289], [-5759949, -207999, -43436, 12390, 4365, -4544, 763, -821, -2387, 178, 35, -1170], [-983622, 129535, 17781, 11401, -3399, -2458, -951, -156, 2136, -866, 1033, 83], [-955895, -226070, 14300, 19480, 5024, 2598, 948, -18, -127, 1163, 387, -368], [753571, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1504628, 278248, 26745, 111987, 4122, -4767, -478, -170, 1267, -2475, 119, 1218], [-3838968, -194442, -4212, -13154, -3719, 2072, -411, 138, -2955, -628, 202, -2280], [-2022684, -15623, -26273, -63905, -6624, -138, 639, 1533, 3375, 29, -87, 1141], [-1824167, 1267, 26280, -2435, 16683, 7716, 301, -2620, -4277, 1164, 1174, -303], [-6988629, -430469, -87810, -27010, 11735, -9622, 971, -729, -2913, -786, -1401, 1110], [-1958825, -145141, -4413, 19600, -12721, 894, 1080, -1132, -1249, 1102, -167, -1266], [117649, -117649, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [803049, 328498, 25917, 66706, 8806, -898, 158, -456, 951, 1018, 779, -1598], [-4294021, -503083, -19956, -52869, -22253, 6237, 2199, -641, -2222, 2737, -1318, -596]]}