# Stored data for newform 315.10.a.b, downloaded from the LMFDB on 14 March 2026.
{"Nk2": 31500, "analytic_conductor": 162.23628839162004, "analytic_rank": 1, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[3, -1], [5, 1], [7, -1]], "atkin_lehner_string": "-+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": true, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [315, 1, [281, 127, 136], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 2, "field_disc": 8, "field_disc_factorization": [[2, 3]], "field_poly": [-2, 0, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": true, "field_poly_root_of_unity": 8, "fricke_eigenval": 1, "has_non_self_twist": 0, "hecke_cutters": [[2, [136, -24, 1]]], "hecke_orbit": 2, "hecke_orbit_code": 4503599795142971, "hecke_ring_generator_nbound": 2, "hecke_ring_index": 2, "hecke_ring_index_factorization": [[2, 1]], "hecke_ring_index_proved": true, "inner_twist_count": 1, "inner_twists": [[1, 1, 1, 1, 1, 1, 1]], "is_cm": false, "is_largest": false, "is_maximal": false, "is_polredabs": true, "is_rm": false, "is_self_dual": true, "is_self_twist": false, "is_twist_minimal": false, "label": "315.10.a.b", "level": 315, "level_is_powerful": false, "level_is_prime": false, "level_is_prime_power": false, "level_is_prime_square": false, "level_is_square": false, "level_is_squarefree": false, "level_primes": [3, 5, 7], "level_radical": 105, "minimal_twist": "35.10.a.b", "nf_label": "2.2.8.1", "prim_orbit_index": 1, "qexp_display": "q+(12+\\beta )q^{2}+(-360+24\\beta )q^{4}-5^{4}q^{5}+\\cdots", "related_objects": [], "relative_dim": 2, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "315.10.a", "trace_display": [24, 0, -1250, 4802], "trace_hash": 1557982217316666729, "trace_moments": [{"__RealLiteral__": 0, "data": "0.000", "prec": 17}, {"__RealLiteral__": 0, "data": "1.911", "prec": 17}, {"__RealLiteral__": 0, "data": "0.017", "prec": 17}, {"__RealLiteral__": 0, "data": "9.195", "prec": 17}, {"__RealLiteral__": 0, "data": "0.046", "prec": 17}, {"__RealLiteral__": 0, "data": "61.300", "prec": 20}], "trace_zratio": 0, "traces": [0, 2, 24, 0, -720, -1250, 0, 4802, -20544, 0, -15000, -18566, 0, -51090, 57624, 0, 112768, 373910, 0, -143276, 450000, 0, -76808, 498908, 0, 781250, -319736, 0, -1728720, 11577554, 0, -3953760, 11398656, 0, 4243944, -3001250, 0, -3205412, -2217520, 0, 12840000, -1058992, 0, 15948180, 10187376, 0, -7156176, -65501290, 0, 11529602, 9375000, 0, 25432656, 25114688, 0, 11603750, -49326144, 0, 134182296, 116159208, 0, -44688544, -12388000, 0, 79055872, 31931250, 0, 118092496, -140439024, 0, -36015000, 294165824, 0, -57419332, -102418064, 0, 39622368, -44576966, 0, -692852854, -70480000, 0, 152932128, 540679928, 0, -233693750, 346989008, 0, 105455296, 779043704, 0, -122667090, -495040608, 0, -937691032, 89547500, 0, -2673039406, 138355224, 0, -281250000, -1935770404, 0, 656679138, 353483584, 0, 217264768, -1241469908, 0, 61102778, 48005000, 0, 270755968, -4130914628, 0, -311817500, -4281879888, 0, 2019395296, 897757910, 0, -3211589188, -788968224, 0, 2264724480, -488281250, 0, -6764208664, -4553920512, 0, 199835000, -2453628460, 0, -344005676, 199162176, 0, -3698905536, -6297104936, 0, -7431342972, 1080450000, 0, 2304773888, 3150739126, 0, -7235971250, -969805168, 0, -380926560, 6690894972, 0, 10353451450, 1762684544, 0, -184416008, 2471100000, 0, -13113214444, -8769783304, 0, -7124160000, 1197878108, 0, 10523876036, 4356597888, 0, 7964045536, 5293179710, 0, -14525735800, -2652465000, 0, -2006684448, -4212030378, 0, 1875781250, -5363280256, 0, 7790887296, -8152316120, 0, -6231452464, -767686136, 0, 2550771072, 2003382500, 0, -5687919554, 19940251152, 0, 1385950000, -34481113382, 0, 22203108296, -32807376392, 0, -4150656720, -28561327976, 0, -46295126840, -8025000000, 0, -22017818832, 27797707154, 0, 661870000, -1452360648, 0, -11554253952, -3215618684, 0, 17240099306, -11059963392, 0, -17459667632, -9967612500, 0, -9492977760, 6706599864, 0, -6367110000, -14006252934, 0, -75578300366, 27368173056, 0, -54040633616, -9010086970, 0, 45379184400, 4472610000, 0, -116151597120, 38707207952, 0, 40938306250, -26805679680, 0, 10189709544, -103231167474, 0, -100640452772, -41249409200, 0, 10022939136, -7206001250, 0, -5474160052, 20139664640, 0, -5859375000, 154011535156, 0, -124548751892, -83878538912, 0, -90493673472, 184308823532, 0, -7696194212, -15895410000, 0, -24777121008, 90936278396, 0, -15696680000, -5324265520, 0, -71744045184, -54214865028, 0, 33542044848, 28266855808, 0, -74960921920, -7252343750, 0, -40126899916, -63425592912, 0, 30828840000, 15096517706, 0, -9800771610, -135304880640, 0, 31356595880, -2542639792, 0, -163581575408, -83863935000, 0, 13932403104, 78256105582, 0, -72599505000, 70274614144, 0, 105275467408, -253709686908, 0, 38291580180, 142364224632, 0, 6652540160, 27930340000, 0, -178296180234, 24459889776, 0, 7742500000, -330576401972, 0, -128763168554, -168335008144, 0, 238493850096, -115001941372, 0, -150798397430, -49409920000, 0, -17181978576, -19220377892, 0, -19957031250, 120610922800, 0, -85855812864, -157268597290, 0, -625672322776, -159223500480, 0, 43322474952, -73807810000, 0, 397021005636, -189295774560, 0, 87774390000, 356563916960, 0, 27682574402, -254696440192, 0, -11703983192, 532365941876, 0, -222442356612, 22509375000, 0, -105729636864, -42310495154, 0, -183853640000, -317839025088, 0, -21188594720, -389807573696, 0, -619598188766, -101580874688, 0, 61063807056, 35887082500, 0, 381633219450, 416744781568, 0, 64011290000, 60300365888, 0, 420973735656, -38707049720, 0, 761407773248, -382804902498, 0, 715632799160, -24763980000, 0, -417057064200, -422225821864, 0, 27860603750, 192714009408, 0, 944752501680, 430187670286, 0, 292864036532, -118432071744, 0, -445572439744, 433033033750, 0, 187095308634, -580424297184, 0, 44050000000, -351121639714, 0, 743736037280, 725951569824, 0, 322171692696, -553752427284, 0, -816853541100, -95582580000, 0, -460384736976, 278898258408, 0, -337924955000, -291009701376, 0, -44420561136, -660983471376, 0, -564293264518, 268116295288, 0, -208856966144, 146058593750, 0, -107297194144, 385440477216, 0, -216868130000, 1379942424674, 0, 1298327288220, -29743588000, 0, 121363796592, 373508204632, 0, 97793293164, -65909560000, 0, -107026085768, -479849438020, 0, -486902315000, -970617507656, 0, 189813148672, 523234926338, 0, 1521130274704, 1379857472160, 0, 306549320168, 76666931250, 0, -1733696356744, 398749570912, 0, 309400380000, 924906334208, 0, 975858835968, 793188076672, 0, 439091157312, -566416081326, 0, 283540082896, 586056895000, 0, -1558470507776, 1271746422212, 0, -55967187500, -337194096624, 0, -1176695985688, 287656662372, 0, -1090634252540, -1041711700880, 0, 1091123973024, 1670649628750, 0, 1330360590828, 606620850432, 0, -86472015000, -49215067618, 0, 2236590081542, -73977774736, 0, -1259497728000, 706292143424, 0, 484438520462, 175781250000, 0, 1975705215344, 47550126994, 0, 1209856502500, -1336161592592, 0, 2370122280384, 615617809500, 0, -137863816132, 1094048907264, 0, 2430211087952, -410424461250, 0, -775839261378, -245905771664, 0, -220927240000, 4288354306700, 0, 3919225170792, 995300337888, 0, 1019538379600, -1271552625120, 0, 7318420623130, -135790480000, 0, 95133305568, 3063896297328, 0, 775918692500, -501764617728, 0, -539531345648, -107029295366, 0, 2092328212110, 345688970656, 0, 2130895778304, -38189236250, 0, -1048921169952, 2281461872448, 0, -30003125000, -681538628876, 0, -1663539702454, -1231690031056, 0, 3293296015968, 533743504832, 0, 2445573029132, -169222480000, 0, -36788214344, -1837192062056, 0, 2581821642500, -594524239512, 0, -2306145200128, 49422280396, 0, -3151614593192, -1289120652528, 0, 367190039328, 194885937500, 0, -859511601714, -2053830061056, 0, 2676174930000, 1298172507128, 0, -1000572865216, 753782917760, 0, 361299020872, 1431905091664, 0, -808369143680, -1262122060000, 0, 1710231901952, 4233465717714, 0, -561098693750, -1809088724064, 0, -2635600634480, 487647601618, 0, -6127631907180, 833120608208, 0, -3292295148432, 2007243242500, 0, 323982605742, -816863886336, 0, 493105140000, -1107589117318, 0, 952721361028, -2328002203480, 0, 253198165696, -6658923166812, 0, -11868391963940, -1415452800000, 0, -4604094050384, 1870483933304, 0, 305175781250, -488038216536, 0, 4457322764256, 371924279860, 0, -5743390516498, 7383025164992, 0, -2367141555472, 4227630415000, 0, -294523683090, -920432995976, 0, 2846200320000, 2921259046396, 0, 6612907455906, -1188592499808, 0, -306380696656, -5368878356800, 0, 4628617387336, -124896875000, 0, -3924809524128, -893011070724, 0, 1533517787500, -4957354671104, 0, -2251396167832, -9814604266718, 0, -8703489766992, -7855493580832, 0, -6415781878016, 215003547500, 0, 6788562919100, -2390241053232, 0, -124476360000, -1890843016352, 0, -3155226708936, 5541321955760, 0, 4869578208960, -844302051054, 0, -6417967613806, 2311815960000, 0, 3664738908640, 2282775655136, 0, 3935690585000, 332190892824, 0, -3701879372544, -2183654725952, 0, -7069415532376, 2448500088336, 0, 6940021439760, 4644589357500, 0, -2713393375312, -1425021575632, 0, -675281250000, -10521919244294, 0, 2221001555416, 2309168995328, 0, 1514059749832, -4647784740004, 0, -3255471918626, -1440483680000, 0, -7092676830720, -29783672014080, 0, -1969211953750, 4774174572480, 0, -6686103381632, 1291899223732, 0, 1576686610338, -7363797015784, 0, 1600040204160, 4522482031250, 0, -18326406868512, 848714085184, 0, 606128230000, 618485654172, 0, -20192052772266, 2752319558872, 0, 2835869924352, -12208808148592, 0, -27220505801514, 238079100000, 0, 521652707968, -10341604632320, 0, -4181809357500, 6621896969856, 0, 2756802677712, -2980769249108, 0, 8770685409258, 791517986176, 0, -2774259177848, -6470907156250, 0, 2870182551616, 8261452646048, 0, -1101677840000, -1649761979900, 0, 146707769978, 12334391930736, 0, -8252020224672, 8500351354840, 0, -503507446972, 115260005000, 0, -9762477950016, -1116685240910, 0, -1544437500000, 27884308434112, 0, 4907880268840, -5081835247520, 0, -13909612128192, 996594077520, 0, 650085079168, 8195759027500, 0, -8712522786022, 7814001974592, 0, 5481114565000, -9918326021828, 0, -3491537373984, -1379711321256, 0, 16069059059904, -30658534957034, 0, -9942448739278, 4452600000000, 0, -634171271832, -2028750871860, 0, -748673817500, 7449392430240, 0, 19176760796544, 13649234193582, 0, -20793205790052, -10280793611088, 0, -6285321747152, -6577422522500, 0, -5987906303864, -6958392970448, 0, -2722873680000, -11738737215394, 0, 23165245197600, -1295222088000, 0, 4848568105696, -10809216796396, 0, -12130001512352, -4977528460000, 0, 4095289857024, 2155516741910, 0, -3308237318750, 1017627439968, 0, -7006240414528, -14067597131764, 0, 39414764279464, -8302445445768, 0, -4736793263376, 9078584875000, 0, -7711025640388, 3903075045376, 0, 1657790625000, 51734175953992, 0, 30938905757844, -1894312705824, 0, 14248603676800, -23927545895308, 0, 189089953400, 1254177780000, 0, 15130596838808, 44247199304312, 0, 2632518986250, 13490701606864, 0, 5437603476480, 2275323456738, 0, -25346527335504, -4116093787968, 0, 5299361869088, -1172363281250, 0, 15344998316004, 5915395503632, 0, 3352050160000, 8599665347296, 0, -24866880111016, 6507425842800, 0, -1075581672336, -30535710055712, 0, -16240865002264, -4869304560000, 0, 25679918453424, 9415254751196, 0, 5095197575000, -10933963149312, 0, 7739987472216, -33291406568160, 0, 5972633551808, 16638628935328, 0, 45043035377536, 3894657790000, 0, -54052907927676, 13195720040592, 0, 479803835000, 16526263677984, 0, 8446855741976, -21730393714240, 0, -19835721789312, -5891161932460, 0, 306492685682, -1594231920000, 0, 3182271913984, -29977576118080, 0, -1252114062500, 15075451331744, 0, 65981542632960, 10703333918800, 0, -825957628076, -14544082977408, 0, -6057136815176, 3554949721250, 0, -46057542937662, 478188384576, 0, -12462656970000, 31303282760880, 0, -136327848956512, -11944813782528, 0, 14980511119120, -14498698143672, 0, -3680918719516, -866218750000, 0, -8881072191936, 25993844868392, 0, 21550695863750, 38653092866640, 0, 3782326204112, -15119348951336, 0, 31749468665858, -11924072768944, 0, 40213932575136, -13876942685000, 0, 17703799865692, 34572282082432, 0, 20504610245000, 2675659009000, 0, -17842654475772, 16928205581584, 0, 4952283154432, 20791414118164, 0, -21443744079080, 2594160450000, 0, 5558569560488, 34902911125586, 0, 17850829985000, 24544818949992, 0, 1771789120032, -123846948909096, 0, 68325776657632, -22513582172160, 0, 5533762105088, 28934454275000, 0, -37527018861422, 2554024627688, 0, 5015625000000, 7564924641526, 0, 12217932558840, -52382549612832, 0, 2477861347896, 819897494400, 0, 15091784323930, 13761136770000, 0, 48639713003808, 3079798293940, 0, -17373566971250, 71063443803904, 0, 3327292619984, -12773761306800, 0, -45984245777860, -2328502208368, 0, 54547237240832, -413668750000, 0, 9346889762726, -61107051537888, 0, 907725405000, -2523606907318, 0, 78231918403740, -12683137147000, 0, -914604670560, -4517158044064, 0, 4311640199828, 7221408720000, 0, 45546916943600, 16064838827772, 0, 2009761677500, 52777525613152, 0, 22478481962112, 32833296111368, 0, 77858078941038, -34457787290208, 0, -8224193236960, -10775062066250, 0, 24858636931450, 81263863712184, 0, 6912477120000, 71962846967118, 0, 9237818328456, 4232205590144, 0, 32380156475872, 18145061089418, 0, -32823153590384, 10912292270000, 0, 42670807135232, 424080067516, 0, 6229757812500, 22182480242592, 0, -442782835208, 13247232496840, 0, 108253109990324, 35996149850600, 0, -13438709765760, 5933111100000, 0, -12937186245688, 9715042223104, 0, -4191624915000, 99729521069720, 0, -77330666339300, -18134599706528, 0, 64330928912384, -55729595365908, 0, -31484827880044, 3979443750000, 0, -10722316117552, -82119018260648, 0, 8753908083750, -21056249712904, 0, -3558329599776, -12984783019524, 0, 29022807630316, 61296449721216, 0, 17190684048256, 47236437728750, 0, 50111248712584, 27710948694384, 0, -17105108160000, -27797759045104, 0, -40521056917678, -10665460617744, 0, -24775424157152, 2876105337308, 0, -97266869737918, 33775396010000, 0, -7917681745008, -91245776451750, 0, 5631304356250, 52813432508416, 0, 10704966812816, 40573737516016, 0, 25267826362436, -48075474023712, 0, -28596264501184, -28361990250000, 0, -133789047763840, 10460191529088, 0, -2795381250000, -73536926792064, 0, -61758076228100, 8302802662088, 0, 56708939399040, -48458390963448, 0, 11070147877120, 72594748200000, 0, 19121673331936, -86156822239972, 0, -24192004970000, -9392896132992, 0, 5064369889024, 12708924483710, 0, 114486228325522, -42038779916208, 0, 17577576772992, -25586441406250, 0, -11851385031300, -11226954255680, 0, 16753549800000, 21060398132264, 0, -34876291655800, -18305531360256, 0, 34164761172664, -139921221267432, 0, -55287592109488, -6368568465000, 0, -83319954154880, -174503320860606, 0, 64519479671250, 101149461888864, 0, 4619909815256, 53933779113298, 0, 83547595940318, -55123116450448, 0, -4818049359648, 62900282982500, 0, 73601901801920, -116934372717888, 0, 25780880750000, -10113084937578, 0, -115033156326704, 13022227776840, 0, -16048578217984, -41009933115786, 0, 75357668306048, -6264336960000, 0, -19023722638856, -68063179037170, 0, 4503750781250, 7332123137968, 0, 59663871908112, 25731509845364, 0, -37267440203180, -12877235894656, 0, -81004575945488, 3421350032500, 0, -250195798187012, -146736439119888, 0, -12587290400000, -6471009641836, 0, -2433879830196, 103715251268640, 0, 18705920397696, 46139514993204, 0, -14723155770244, 3662109375000, 0, 71725616026128, -19573711004120, 0, -96257209472500, 141109176701312, 0, -7103845098224, -175446852306636, 0, 54882406490590, -49112573713176, 0, -25596140832128, 77842969932500, 0, -14961717366064, 17709860677728, 0, 52424086820000, 365022405019200, 0, 29464547620640, -1843214412536, 0, 75626969631216, -145607295454338, 0, 129571046516860, 56558545920000, 0, 10837465247952, 27581082517112, 0, -115193014707500, 101369038712888, 0, 6124401343872, 64556089324180, 0, 92474177091008, 5101668154272, 0, -89846110608448, 4810121382500, 0, -201393594686864, 58215726159968, 0, 9934631250000, -13021659501924, 0, -17699541987824, -104786710296704, 0, 555129084912, -41439127986650, 0, -13656694849154, 15485700630000, 0, -5940134098944, 71659539547524, 0, -56835173997500, 47876543015952, 0, -103513993528040, 111919419259324, 0, -86830119014088, -93145885188352, 0, 216903819218880, 9810425000000, 0, -32230215709628, -13153312014848, 0, 3327665950000, 48861706738254, 0, 309426622648960, 4195946726448, 0, -42577263945408, -82789153230182, 0, -187877112493746, 44840028240000, 0, -23606155423904, -122614337355154, 0, 33884290642500, -64729813993728, 0, -124277884713888, 17077324508288, 0, 53309663018696, 157960733994240, 0, -25657135246280, -20963778030000, 0, -484823106009168, -78770510717192, 0, -17666784880000, 274439270292736, 0, -334159304104186, -143099684382720, 0, 55269007077344, -4117339673948, 0, 838950813118, 46850576200000, 0, -9965726784720, 13170886774700, 0, 4532714843750, 90983540671488, 0, -20371607232128, -68575748470376, 0, -10047707959820, -72554156906464, 0, 20583193337920, 25079312447500, 0, 12856121509208, -178412615781408, 0, 39640995570000, -15258886045964, 0, -111154599542840, -1464833501088, 0, 109942129269408, 38084038198856, 0, 251639547086724, -19268025000000, 0, -120659109225096, 196435336278656, 0, -9435323566250, 32031973226400, 0, 84517973749760, -320404157474234, 0, 78670005068840, 63754634855760, 0, -52864783015632, 6125482256250, 0, 107954831460342, -2905779589528, 0, 84565550400000, 66742294876754, 0, -376364849689444, 89981815516672, 0, -322676649181120, -298475139992554, 0, 113155709567820, -19597872425000, 0, 38983299132160, -109235632097858, 0, 1589149870000, 92128826595840, 0, 26793685398864, -121491253538542, 0, 65353453745668, -3487117915848, 0, 224768497941552, 102238484630000, 0, -194028626202814, 79662691660288, 0, 52414959375000, 229820345162344, 0, -248856308300232, -188155944538176, 0, -27741763738752, -202843561545440, 0, 233369447100652, -8707751940000, 0, 34576541446064, -7720700460284, 0, -48910065988750, -261508884856344, 0, -181242656790672, 23577502933540, 0, 395246237158896, -254247268358144, 0, -126579681110464, 45374690625000, 0, 41393478433706, -324976304209720, 0, -43921633840000, -194446611089842, 0, -643770833672646, -26554972104192, 0, -172806661823424, -192787000402370, 0, -144372597884216, -65797167130000, 0, -113865453428544, 147234284381872, 0, 158568554317500, 41170286460736, 0, -41920661984432, -210836394768658, 0, 63819479260580, 73021122276088, 0, -373400701251072, -23932237612500, 0, 63969998755576, 181475356550352, 0, -88977640395000, 261579297856516, 0, 169300393471592, 100658139523648, 0, -265455190350528, -660377549873888, 0, -22792639601760, -4157837600000, 0, -42612830119216, 151050841345856, 0, -17456462500000, 16102546273464, 0, 356107679571648, 303932926398324, 0, -207909194748512, 75553847175744, 0, 103063510397856, 111435112646250, 0, 170345262773312, -93647912671056, 0, -15287431110000, 1029932102510176, 0, 260053785196698, -185015926972416, 0, -21390743433992, -33629013294534, 0, -535380305696068, -4839062500000, 0, -129105298588544, -225563834986398, 0, 206610251232500, -160972483893168, 0, -72584344439488, -526351245562060, 0, -181463499178766, -134069913584896, 0, -165857637812256, 80476980346250, 0, -169114670362864, 65710983507456, 0, 105209380090000, -57455888879220, 0, 32348691608164, -153235558435880, 0, 353438479324160, -84689379405264, 0, 179402169934042, -149058656310000, 0, -129751561312016, 502855940285820, 0, 71876213357500, -41997639609056, 0, -154350831704976, -21633218814970, 0, -647547695990440, 490075083561216, 0, -340260689851352, 94248998393750, 0, 369663262251972, -139708266975976, 0, 30881200000000, -674942135553548, 0, 108955421744400, 212306712010704, 0, -25929744876592, -635020744369920, 0, -22388085093440, 10738736610000, 0, -303155533831680, 633420683134172, 0, 12012736182500, -144965922900224, 0, 164734391167016, -382482209799182, 0, 273928217686108, -255409271764464, 0, -278879984685120, 12473144531250, 0, 432396310138440, 207983850948384, 0, -75381826750000, 92936006292752, 0, 1079824722932096, -86975281006112, 0, 362319663342048, -57609371429998, 0, 165849077911180, 53659883040000, 0, -82634781832408, -233942882425600, 0, 98292873306250, 309730363246112, 0, 312969861185664, -488638581294010, 0, 123142597658584, -64360436911680, 0, -116362506635536, 391045201735000, 0, 803021365639470, -156699237095392, 0, 99514687800000, 69241403374418, 0, 358511961034180, 201215936958464, 0, 24465492615144, 831691830833260, 0, 71856984076032, -27076546845000, 0, 36437387088000, -247858033105074, 0, 46129881250000, 260167519502976, 0, -206073189920976, 216315403766600, 0, 1060585625800174, 418002869662560, 0, 166403344709232, -248138128522500, 0, -241637727105572, -212851600582976, 0, 118309859100000, -7307427228176, 0, -122591684308762, -99039831489200, 0, 143088396312576, -561388072001692, 0, -314686997817156, -54858993750000, 0, 625921230204256, 148232092677708, 0, -222852448100000, 304361301616880, 0, 24065076865536, 1011954988620670, 0, 486793376543016, 5755026373376, 0, -311387493883920, -17301609001250, 0, -380298671358796, 97370457143968, 0, 159185275120000, 65850595381348, 0, 918109374357936, -531068367057360, 0, 494547966062080, 21580978422468, 0, -13143458284852, 7314989495000, 0, -517539244201824, -526342319250900, 0, -332728713672500, 48355334800640, 0, -19039972151464, 711237109123380, 0, 42783404981944, -255724989514816, 0, -173175282465152, 139026472882500, 0, 500537892207232, -114848631743424, 0, -14068359375000, 264492949721334, 0, 193918465902514, 275100156468624, 0, 78599438116896, 369781695909556, 0, 891845496920728, 66081023040000, 0, 14555337333248, 1602517117624416, 0, 26444059471250, -234953414376640, 0, 108219643665088, -183696040857376, 0, -299041553292692, 285128475700896, 0, -474510920383872, 114908525000000, 0, 643481825253748, -201392371927712, 0, 198649390680000, 171939465868328, 0, 95516317222602, 813528196865728, 0, 140165423552688, 145756667935624, 0, 220032136156612, 13242871700000, 0, -217275310006272, -149477221044556, 0, 243629733560000, -153296532933840, 0, -187172106773920, 442525485300332, 0, -363206557133854, 52895406166912, 0, -586365323560320, 387248867978750, 0, 661943740354908, -100758640275712, 0, 63488046680000, 821406089952492, 0, -18478562303012, -670312543914800, 0, -149615879108032, 201372211817036, 0, -193192038265244, -38164879410000, 0, 341645497817280, 1040708960902926, 0, -22429426562500, 127126924757088, 0, 601905790028352, 1140848165624960, 0, -554995114357926, -380987407294208, 0, -59489867540208, -238520762156250, 0, -233401985874362, -79892295964264, 0, -260465488480000, 218338004428796, 0, 214250070772788, -522964778631168, 0, -285286880959232, 192771258421152, 0, 635407999737458, -40007056250000, 0, -270545693745408, -79288074233218, 0, -37687728680000, 358657150200832, 0, 175237439417728, -1898480383640, 0, 789909731143724, -12783561513520, 0, -382769562625536, -263108584785000, 0, -1255129758397846, 221666337135024, 0, 24191906075000, 550823945768402, 0, -800833847848660, -482710782565768, 0, -172257452486784, 387335266413868, 0, 694376054516160, -475879858280000, 0, 199841747469024, -130169890932228, 0, 239253064061250, -1587655414883904, 0, 662389705857024, -765339987468096, 0, -465351980472000, -464559414734496, 0, -244566878323264, -447270499475000, 0, 80534449680048, -45420481912016, 0, 15477487500000, 78937108692046, 0, 393479917381630, 67868720795008, 0, 246279591920256, -413720096675598, 0, -1077480305429488, 260660665125000, 0, 1024136986276928, -286244030968488, 0, 263891138665000, -95625688318368, 0, -179981173529920, 100953336915544, 0, -704418916674860, 242386185219096, 0, 420553249191264, -17412877343750, 0, -1535538784381264, 936850071161728, 0, -120446255880000, -1935041846070576, 0, 1761074565056772, 192339463366672, 0, -100942942880000, 287151086398756, 0, -96344686698316, -590470313550000, 0, 69675450560384, 1045063922096464, 0, -268867293928750, -152284848581712, 0, -455796728898528, -331194037767752, 0, -745106122337764, -254840228579328, 0, 226205471983248, -183040022832500, 0, 243552525757908, -186001425224576, 0, 74020044840000, 295948044194432, 0, 67784630501238, 165297033268176, 0, 313040525092152, 36246739012106, 0, 774933999663240, 278482774840000, 0, -860234718039408, 156890345073186, 0, -270645646093750, 61070678855552, 0, -1552149677436640, -164650609274984, 0, -23531652635610, 733623279894656, 0, 574483657359360, -116934567896250, 0, 824871791070290, -324867018416640, 0, 362765185740000, -186708060051568, 0, 691731186025674, -384768676752072, 0, -252619570194864, -820273498631636, 0, 1723926350183622, -27531250000000, 0, 75287186707880, -1326930745393488, 0, 219451024821250, 249440751628576, 0, -1656505496510080, -6104878140592, 0, -1349412097756734, 28656190057392, 0, 9608179470592, -464835023300000, 0, -482889245299748, -1964445368584, 0, -453719731140000, -1997460760800356, 0, -392759362554608, 1186845496249216, 0, 305703654005040, 1009820278688940, 0, -73343757456016, -201357307935000, 0, -301321964086784, 168712872050872, 0, 346095267052500, -319065317676384, 0, 19565692090944, -1107169803427856, 0, 133735107055436, -656343539487216, 0, 33451699852704, 510533463187500, 0, 1473844145550800, 121833640427520, 0, 59739112500000, 187892909502382, 0, -1185373569086424, 22177563986344, 0, -2020827275372416, -559263449438956, 0, 2066470158909248, 287740460610000, 0, 161175367935608, 2083206467348256, 0, -174311411505000, 837532843670288, 0, 198348549844944, 1527921438009162, 0, -190375967759228, 168729348559744, 0, -96021368090976, 211203096875000, 0, -2902063527052800, 61096567644944, 0, 181881063360000, -196324088875676, 0, -967543584992348, -1685727584095200, 0, 252766397246608, 140945890885612, 0, 975446868023432, 27762850710000, 0, -1272997295957568, -609156958266108, 0, 413114669610000, -276322108787456, 0, 460095068683488, 55482325791820, 0, 290127663732722, 1058151021204264, 0, -892226426370944, 352683290323750, 0, 91938084012180, 626585463390720, 0, -167572684555000, -583379223521902, 0, 2931593852346, 341816503341432, 0, -2792003834695824, -249062089074916, 0, -372888673652708, 130535603840000, 0, 797751686819496, -878762753585624, 0, -91286621093750, -260492526179936, 0, 15972748924160, 525632069703702, 0, 215093227053356, -1208281045247616, 0, 29415218126424, 67060746340000, 0, -433564236979000, -710298066872736, 0, -240900298260000, -2672670312473412, 0, 1856559994962176, 672346331123712, 0, -357511177083536, 435106675415704, 0, -428089128741834, 135542581250000, 0, 492043625309824, -1170035822167260, 0, -862464015421250, 58728195352176, 0, 200567878273696, -1223478412118536, 0, -566838627361616, 1691645332016720, 0, -491921085032880, -811454555137500, 0, -673145455186760, -311363593246976, 0, 18589742500000, -505481901559662, 0, -884062474580224, -400737954439104, 0, -921689072480256, -793713941134772, 0, -1009999800839822, -75852372870000, 0, 1005584684432384, -2686275589152848, 0, -233442627895000, -995289807766288, 0, 244470525172224, 202727222406824, 0, -309160367698154, -372925010352640, 0, -315125469438960, -61120808227500, 0, 638073145080930, -404172354553744, 0, 41193475000000, -3266064555269120, 0, 203597545734536, 184301444690400, 0, -806205975833472, 646226273137112, 0, 1344790616783060, 66891303605000, 0, 572623734080496, -1843513414087648, 0, 299905898762500, 850281179462528, 0, -449571605463760, -276119661234172, 0, 998930287064508, 195732270528496, 0, -1180400298864384, 304313946875000, 0, -529582370634532, 66710626027008, 0, 606635942285000, -66405522708484, 0, -362066952229430, 901472559091616, 0, -919668554212320, 162871032128048, 0, -2766714028984860, -118633217920000, 0, -407317311993280, 3669673588830090, 0, -327021828961250, -595164510667784, 0, -27790716615488, 819695867566906, 0, 978968898513224, 595890276440640, 0, -41253930560976, -950706421690000, 0, 1081704953910784, -977163744825320, 0, -862410920100000, -46148127318692, 0, -501682571222720, 379191874410048, 0, -960383300628072, 571206519572270, 0, -2957293838232854, -191593325105000, 0, 1675841792950272, -73377050719516, 0, -47916832031250, 224893565810976, 0, 244836602576064, -617774465954944, 0, -1776069697733036, 289586825642800, 0, 888434879819328, 1083560222965000, 0, -703239915921798, 368432101631360, 0, -249218481820000, -3875576461172326, 0, -1723651924214676, -1535227185867200, 0, -206139806686464, 4010872738577944, 0, 314466360288216, -193375237500000, 0, -1066031139060832, -377601902093290, 0, -578066458880000, -644943352509872, 0, 756230781800784, 1703317529280988, 0, 4191935424995206, 1733367017788416, 0, -427446952360448, -609911772480000, 0, -1502239246985176, 162077200240064, 0, -495742547920000, 398669243534786, 0, -1478001879794488, -382295624652480, 0, -870084536699344, 1613353984617880, 0, -1186452719729912, -274431973320000, 0, 422941709468160, -1291241360681636, 0, 354010050828750, -327413331962880, 0, 104017262359752, 1224020070561224, 0, -2837321663998468, 1610854075818584, 0, -466426556808896, -177212551810000, 0, 1770922598113656, -506012656846464, 0, -366285559375000, -1366882545881164, 0, -332231909637200, -209050679144048, 0, 254376302968320, 2275281495580886, 0, 953247434532036, 974044067360000, 0, 634103193254080, -1780374163842132, 0, -794841513882500, -454499154718560, 0, -1459809688164352, 7829927166829020, 0, -895016339812024, -1923331516934736, 0, -1665308004086816, 34979492187500, 0, 1934046784700384, 297916335597600, 0, 210746310390000, 1734304875394110, 0, 2182055476336746, -361489007833344, 0, -2041510233591048, 856109964620960, 0, -854028095617502, 735434991055000, 0, 2367299188604032, -1921396697757412, 0, -179785413982500, -205117810282320, 0, 596214601851928, 1975193481420516, 0, 66465861139202, 1026063381346728, 0, 2647750681041888, 681646407837500, 0, 2691873772867256, -611526152900992, 0, 651069813050000, -1854295840693684, 0, 568897172357904, 618424946716928, 0, 47913842321024, -3666947995567796, 0, 6413826806970432, -681952483140000, 0, -28101263643992, 2144380920360924, 0, -1044156017968750, -1353550676936544, 0, 102592738123344, 1278210626444276, 0, 687030660676882, 182065467301888, 0, -542767090615832, -831475369267500, 0, -1862654403262608, 718267996224256, 0, -379138031520000, -1041035471244344, 0, -534084098225412, 261148404689520, 0, -1017687757810552, 4238298695687672, 0, 371547079885600, 54045009375000, 0, -441392486634912, 120596172916842, 0, 30759417261250, 1941512019116096, 0, -259580620443024, 1278044181842642, 0, 1794868374527080, 19495381541360, 0, -253856858110464, -1397868800963750, 0, 1910277685718088, 2370872389402464, 0, 46236109210000, -101587498864754, 0, -734457713072492, -2891170148799856, 0, 4169043453755808, 4693239419087078, 0, 4678954965122144, 787186080000000, 0, -123168306510736, 820616619247446, 0, -441432589640000, -289238442532688, 0, 3767792301460864, 30470033714824, 0, -25168707727424, -763131499236288, 0, 1416606891571664, -302774075288750, 0, 3867093036726702, -222512020931408, 0, -109863281250000, -2592473817957568, 0, 2223752910516044, 705297300617280, 0, -50873815922720, -4891531815110164, 0, -1918821202921416, -1234815759590000, 0, -414824258571008, -935927984444096, 0, -29718829371250, -411499215706656, 0, -2204715353563120, -1751540025371312, 0, 586946497836522, 285199772548648, 0, 2543015285574480, -756160314062500, 0, -1487655251227166, -3949058066938368, 0, 835100995370000, -2509147520000094, 0, 871478193969876, -243895680125888, 0, 1757777005033856, 7009527737615120, 0, 2277049809111424, -1481326425240000, 0, 4034255788958720, 2427143794049208, 0, -384761130937500, 411408601101184, 0, 146614200741456, -415053955895078, 0, -637168506907588, 1029738838861504, 0, -2215887049170488, 86164885082500, 0, -1212587671471036, 1727011015539024, 0, -683780567040000, -1155805341775768, 0, -591026076352304, -1632876696113760, 0, 408669805260800, 1660416565209598, 0, 916301359899450, -1518881929970000, 0, -1852307102317776, 2164911078383360, 0, 256515288281250, 1000604220544768, 0, 1201975303161328, -1948376185035264, 0, 4971973368583352, 936904920148448, 0, 241661640286592, 484899538361250, 0, 726408216371064, 1322726520603648, 0, 153691107290000, -1284789479238230, 0, 2904244063209118, -2434759160174752, 0, -1602166639154496, 144781178497088, 0, 2641091694938248, 138079525000000, 0, 152204152307024, 432294148184112, 0, -2680221441687500, 451564425221408, 0, 761194060652800, 4382711267751380, 0, 1010757939310056, 591994271867040, 0, -1036644034715416, -2449515731745000, 0, -1857891279160442, -92935626377720, 0, -622062711180000, -1891606713870020, 0, -2814084699886848, 3410915974881280, 0, 545045280296080, 4425812786000256, 0, 1524694818637142, -637211487250000, 0, 1828140063568448, 1190264464750508, 0, 794720390700000, 3875527720160304, 0, 1592972228823568, -919114570897698, 0, -269453229623640, -1460162534339776, 0, 3404360124490368, -4574012889456250, 0, -1850411773605024, 6629802712746752, 0, 84869050000000, 2448589657354092, 0, 1718234350783160, -29156771117616, 0, 3082362363254784, 4369908709595244, 0, 3163979981827640, -59458315980000, 0, 32857603542760, -3372166400333890, 0, -1914935185830000, 3685044128614080, 0, -4298286050142048, -2284892867262244, 0, -3857916512516802, 895596557371264, 0, -1001354011144200, -484949182812500, 0, -1313563680184402, -1919809931680536, 0, 313602886080000, -1013764198295464, 0, 933797080818312, 658718544422400, 0, -1472365914499576, 1767001840398218, 0, -3284099323742398, 337207091030000, 0, 491071371541056, 6650551861234542, 0, 66893309603750, -4532008584559744, 0, 219422034485760, -310087933492618, 0, 1214296378483272, 462706336588608, 0, -375885098769920, -1307705132568750, 0, -206335131078152, -68663516827728, 0, -216055606660000, -322925466733614, 0, -3563578646105008, -6425192003914304, 0, 2268350756533680, -24801753155172, 0, 711072611856056, -1331809861440000, 0, 3703421948566944, 1032880596356686, 0, 23868272656250, -4732416005443096, 0, -3304032147603200, 481197687087640, 0, -1578857884175850, -152782454671872, 0, 978744237546384, 655575731220000, 0, 703166551713332, 215063508042856, 0, -1425913670280000, 4230985939296284, 0, 682286052923974, -284355404257344, 0, -818128258102384, -12671336291197568, 0, 3594987106566104, 18751953125000, 0, 3874115479123968, 440407922645904, 0, 425961643047500, 926089688845824, 0, -1069819427825344, -4952967952196160, 0, -265769657214620, 1216192453347120, 0, 2839681499224512, 1039712314033750, 0, 6252186195417284, -1385923516412544, 0, 769806269410000, 2053680748461932, 0, -9733711003914760, 188690872744416, 0, -5790614955103104, -1142597160934274, 0, 449215836030234, -2058310009980000, 0, -299748482836624, 1425242473533896, 0, -333589690520000, -1393598737538784, 0, 1723122903176064, -1378989075608424, 0, 5489104096771284, 1558264452150656, 0, -11585972031264, -1528483143207500, 0, -670655012942292, 2403416566464304, 0, 105764050000000, 1228087609029106, 0, -3204127771265064, 3922385048900208, 0, 2587857964337472, -843043056953314, 0, -5841982006087210, 22992633965000, 0, -670441650475968, -15256717334109022, 0, 1148245038785000, -543458702942208, 0, -3979546627520888, 7067504714998232, 0, 1785710225509280, 1154278279645216, 0, -746109437719232, -1613638526562500, 0, 282702686754876, 1743009719147424, 0, 371577649695000, -1257296786496808, 0, 1637711019324018, 1151830396221160, 0, 2039807093120976, -7563778718517628, 0, 1296278032974698, 1441340750080000, 0, 773534234163096, -448241462124284, 0, -30888925247500, -4880953606958192, 0, 4439128396431360, -1329559577908884, 0, 1202334868033032, 11555579884776960, 0, -3386388434439128, 1969759120745000, 0, -1652831139299804, 1604973458518736, 0, 805700407830000, 57217322595472, 0, -1961265352181100, -2725728019863040, 0, -450684049639544, 3859158386007392, 0, -1306008526565116, -229493774580000, 0, 5177016295416832, -2488067190326440, 0, -121803710937500, -194102247405600, 0, -794212067173288, 5714681990617682, 0, -10903687698763488, 561827814782800, 0, -1105383753479376, 537194751071250, 0, -4379238508460840, 6322825945350080, 0, 1283643788160000, 669634718437608, 0, -1498324545900916, -2208782957650248, 0, 441170049577984, -3819480798470748, 0, 763177004407294, -1672609331250000, 0, 2496263608624416, -314068973268562, 0, -811357816955000, -1908030326092864, 0, 7359768981879552, 658477791752902, 0, -12839810717576704, -698714293003776, 0, -3282421665149920, 625358040760000, 0, -2438221928578604, 2073770483204432, 0, -471114323600000, 537134732399792, 0, 2931300891488844, 429058290802080, 0, -106653767287536, -65995375935484, 0, -11565260513576260, -225811888045000, 0, 6808236959876112, -1587021314773776, 0, -894940682290000, -2853005450666048, 0, -208782059461936, 2119088157567912, 0, -1377290170408974, 4514457536685568, 0, -4939253008834560, 505230714800000, 0, -1354868128107718, 4873395333636480, 0, 788826287500000, 7832729121704522, 0, 12721118286542310, 643747224986488, 0, 9839456458347792, -7570530929305674, 0, 1516469736548236, -1068894938720000, 0, -2729675386209816, 12718371309663336, 0, -2645916073571250, -7891172471331560, 0, -501465575711744, 4661071625581788, 0, -2829045288788040, 2553999917981184, 0, -1997439026755448, 350686683593750, 0, -3832320233872592, -475086900573056, 0, 1130680452540000, -829756040376464, 0, 1281188683639880, -5241246103577088, 0, 1653960209626496, 6570996838372914, 0, -257620563139744, 1647250396550000, 0, -1194382474483840, -2876301642289696, 0, -304779751011250, 925442585795616, 0, -1688196918213464, 11418205409982464, 0], "weight": 10, "weight_parity": 1, "id": null, "artin_degree": null, "artin_field": null, "artin_field_label": null, "artin_image": null, "embedded_related_objects": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0], [1, 0], [12, 1], [0, 0], [-360, 24], [-625, 0], [0, 0], [2401, 0], [-10272, -584], [0, 0], [-7500, -625], [-9283, 9124], [0, 0], [-25545, 18334], [28812, 2401], [0, 0], [56384, -29568], [186955, -15186], [0, 0], [-71638, -31138], [225000, -15000], [0, 0], [-38404, 100205], [249454, -821442], [0, 0], [390625, 0], [-159868, 194463], [0, 0], [-864360, 57624], [5788777, -296772], [0, 0], [-1976880, 2191070], [5699328, 576], [0, 0], [2121972, 4723], [-1500625, 0], [0, 0], [-1602706, -3997070], [-1108760, -445294], [0, 0], [6420000, 365000], [-529496, 10352502], [0, 0], [7974090, 9725678], [5093688, -3507432], [0, 0], [-3578088, -9607850], [-32750645, -9479722], [0, 0], [5764801, 0], [4687500, 390625], [0, 0], [12716328, -7213320], [12557344, -5256968], [0, 0], [5801875, -5702500], [-24663072, -1402184], [0, 0], [67091148, 2227513], [58079604, 39092800], [0, 0], [-22344272, -15794106], [-6194000, 24315960], [0, 0], [39527936, 20845056], [15965625, -11458750], [0, 0], [59046248, -76121736], [-70219512, 9953880], [0, 0], [-18007500, -1500625], [147082912, -76576000], [0, 0], [-28709666, -17548324], [-51209032, -49567546], [0, 0], [19811184, 9490368], [-22288483, 21906724], [0, 0], [-346426427, -28471816], [-35240000, 18480000], [0, 0], [76466064, 123700528], [270339964, 92242900], [0, 0], [-116846875, 9491250], [173494504, 124682226], [0, 0], [52727648, -88300456], [389521852, -97352322], [0, 0], [-61333545, 44019934], [-247520304, 301706016], [0, 0], [-468845516, -146507309], [44773750, 19461250], [0, 0], [-1336519703, -45681470], [69177612, 5764801], [0, 0], [-140625000, 9375000]]}