# Stored data for newform 208.10.a.k, downloaded from the LMFDB on 05 September 2025.
{"Nk2": 20800, "analytic_conductor": 107.1274539220856, "analytic_rank": 0, "analytic_rank_proved": true, "atkin_lehner_eigenvals": [[2, 1], [13, -1]], "atkin_lehner_string": "+-", "char_conductor": 1, "char_degree": 1, "char_is_minimal": false, "char_is_real": true, "char_orbit_index": 1, "char_orbit_label": "a", "char_order": 1, "char_parity": 1, "char_values": [208, 1, [79, 53, 145], [1, 1, 1]], "cm_discs": [], "conrey_index": 1, "dim": 6, "field_disc": 694134819738007284468852275080, "field_disc_factorization": [[2, 3], [5, 1], [7, 1], [29, 1], [97, 1], [3449, 1], [49207, 1], [5192732900134729, 1]], "field_poly": [-1707532200192, -12926602192, 1323158708, 310880, -72131, -2, 1], "field_poly_is_cyclotomic": false, "field_poly_is_real_cyclotomic": false, "field_poly_root_of_unity": 0, "fricke_eigenval": -1, "has_non_self_twist": 0, "hecke_cutters": [[3, [-1406705130000, -41540331600, 1260778797, 3455604, -70206, -68, 1]]], "hecke_orbit": 11, "hecke_orbit_code": 45035996441477328, "hecke_ring_generator_nbound": 7, "hecke_ring_index": 18432, "hecke_ring_index_factorization": [[2, 11], [3, 2]], "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": "208.10.a.k", "level": 208, "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": [2, 13], "level_radical": 26, "minimal_twist": "104.10.a.a", "prim_orbit_index": 1, "qexp_display": "q+(11+\\beta _{1})q^{3}+(-29+\\beta _{2})q^{5}+(1610+\\cdots)q^{7}+\\cdots", "related_objects": [], "relative_dim": 6, "rm_discs": [], "sato_tate_group": "9.2.3.c1", "self_twist_discs": [], "self_twist_type": 0, "space_label": "208.10.a", "trace_display": [0, 68, -176, 9664], "trace_hash": 1354889419722344549, "trace_moments": [{"__RealLiteral__": 0, "data": "0.104", "prec": 17}, {"__RealLiteral__": 0, "data": "5.561", "prec": 17}, {"__RealLiteral__": 0, "data": "2.417", "prec": 17}, {"__RealLiteral__": 0, "data": "86.890", "prec": 20}, {"__RealLiteral__": 0, "data": "62.769", "prec": 20}, {"__RealLiteral__": 0, "data": "2073.525", "prec": 27}], "trace_zratio": {"__RealLiteral__": 0, "data": "0.000", "prec": 17}, "traces": [0, 6, 0, 68, 0, -176, 0, 9664, 0, 26938, 0, 15980, 0, 171366, 0, 10756, 0, 215048, 0, 519868, 0, 384084, 0, 691224, 0, -196082, 0, 1592756, 0, -546932, 0, 535300, 0, -3961488, 0, 1042020, 0, -18760, 0, 1942148, 0, -8895252, 0, 21376108, 0, -46124116, 0, 60317048, 0, -76450382, 0, 123419812, 0, -95149004, 0, 160208072, 0, -120699544, 0, 181069068, 0, -169024572, 0, 270169572, 0, -5026736, 0, 356012572, 0, -269915784, 0, 661588848, 0, -315676732, 0, 934109440, 0, -794391744, 0, 1268146056, 0, -1045070882, 0, 1026540484, 0, -1051824708, 0, 1753885344, 0, -201055172, 0, 276013504, 0, -1156090488, 0, 1720777248, 0, 566920580, 0, 1940442636, 0, -296627908, 0, 2017640256, 0, -1266170508, 0, 4796030536, 0, 708652264, 0, 4543237196, 0, 1089278108, 0, 504180712, 0, 769376218, 0, 4097621940, 0, 6251600094, 0, 2095564584, 0, 5776351044, 0, 1305132760, 0, 6628159980, 0, 4743344548, 0, 6286251368, 0, -2293055804, 0, 9992719116, 0, 1212783772, 0, 22690762124, 0, 456404780, 0, 17902582648, 0, 1225723600, 0, 21348954260, 0, -6749914704, 0, 27317271620, 0, 4061580592, 0, 20932644636, 0, 2288516184, 0, 31215726120, 0, 15402297332, 0, 37263418752, 0, -7389180900, 0, 4894384326, 0, -4403809340, 0, 38142685692, 0, 7333643500, 0, 35883511984, 0, 693030660, 0, 28402105868, 0, 12436879448, 0, 15382996356, 0, 7000072600, 0, 35314115748, 0, 15654663896, 0, 15558113988, 0, 307202116, 0, 45381984704, 0, 67357053480, 0, 8741011720, 0, 20036658008, 0, 22648891728, 0, 42563106144, 0, -8199692112, 0, 17619837940, 0, 7865207964, 0, 89519595892, 0, -32164550344, 0, 85969821872, 0, 6141985928, 0, 73903980392, 0, -32732231962, 0, 17278641868, 0, -114087774008, 0, 53645080464, 0, -61340562096, 0, -220129108, 0, -66656208768, 0, 123059065384, 0, -30479464836, 0, 16647825536, 0, -135967260372, 0, 14847949948, 0, -151260939376, 0, 86895204528, 0, -163241589520, 0, 18661647284, 0, -51850798696, 0, 42455025116, 0, -139665459204, 0, -41488463792, 0, -206149199248, 0, -7389448392, 0, -158939832284, 0, 84714609736, 0, 10969823124, 0, -102438349356, 0, -33421970748, 0, -79618254084, 0, -197635080004, 0, -13967889568, 0, -206599658120, 0, -183627157472, 0, -65935760058, 0, -140993702976, 0, 112137326600, 0, -23068313080, 0, -126672287376, 0, 19742048664, 0, -175367113100, 0, -271214931056, 0, -34770209200, 0, -460038308436, 0, -87737173136, 0, -210079188008, 0, -115033216408, 0, -649312403736, 0, -40465907356, 0, -305710814696, 0, 132261659272, 0, -633530107952, 0, -5600298002, 0, -576916420660, 0, 376115385284, 0, -723315541372, 0, 255068658220, 0, -335957430656, 0, -225611673128, 0, -992637791352, 0, 229990439440, 0, -324295811836, 0, 187364290200, 0, -740239464548, 0, -228380126736, 0, 45490704116, 0, -135643531452, 0, -803164718484, 0, 317048006004, 0, -648047454116, 0, -81650612530, 0, -795742136284, 0, -450457596872, 0, 386417051536, 0, -102757348716, 0, -761313833888, 0, 112863589532, 0, -119523641124, 0, -15620924852, 0, -191421447972, 0, 246862173112, 0, -180906840216, 0, 165027840512, 0, -949737405288, 0, -116649759060, 0, 889914114856, 0, 190264541484, 0, -173538699824, 0, -484038345244, 0, 948545846568, 0, 436373861436, 0, 15288703300, 0, 234213774392, 0, 838463730328, 0, -575944606596, 0, -194779284120, 0, 878892211968, 0, 2889180510904, 0, -820493005100, 0, 100779792180, 0, -948014331952, 0, 1965287842852, 0, -133078282788, 0, 995885482112, 0, -113144058768, 0, 1216365437240, 0, -1631457527656, 0, 163893343488, 0, 425886415120, 0, 1759925840560, 0, -210144272374, 0, 537970128412, 0, -1683548798480, 0, 3709644311048, 0, -474562237340, 0, 2241475072040, 0, 20802516788, 0, 29761133220, 0, -707188132052, 0, 290196528100, 0, 115388293368, 0, 3989774764156, 0, 2329174879512, 0, 1134787614224, 0, -1108815986104, 0, 2949754483120, 0, 755366667488, 0, 588259922668, 0, 657116894988, 0, 2557905247704, 0, -535804360, 0, -1741195373736, 0, -241294060312, 0, 5224405728036, 0, 4286606604696, 0, -2321594406612, 0, -1629594720120, 0, 4449839750520, 0, 3055434926004, 0, 1706499365612, 0, 2312456456664, 0, 3660974907760, 0, -740368009000, 0, 55469689028, 0, 5221842382500, 0, 6032468831096, 0, 2962026270296, 0, -1997994852752, 0, 1837920444752, 0, 5036741174304, 0, 2549372247448, 0, 329847424536, 0, 1980091862208, 0, -424797479040, 0, -2935857488458, 0, -3036731890420, 0, -254057292372, 0, 3086401261464, 0, 3665271118436, 0, -6025433381796, 0, 3460575043744, 0, -3524782233280, 0, 2814887173732, 0, -664834024556, 0, 3190702961308, 0, 2993450834904, 0, 2078668447680, 0, -7651067760452, 0, 3725622442960, 0, 610523020588, 0, 5597847090624, 0, -8705711094124, 0, 1060749627904, 0, -3744407173560, 0, 9338482864448, 0, -1529017380404, 0, 4268508373216, 0, -714210129296, 0, -6055760695948, 0, -18388109704976, 0, 854702461472, 0, 5125432602328, 0, -1317350877076, 0, -8816999209348, 0, -3890334500592, 0, 2830706213716, 0, 8830891169076, 0, -11035092563476, 0, -589742989704, 0, 3803426019912, 0, -5633841667560, 0, -4951389050332, 0, 8992021644096, 0, 9007488809496, 0, 2069201608224, 0, 1722715207928, 0, -5420285900508, 0, -488830610136, 0, 7585847554996, 0, -11953392851292, 0, 6688503642600, 0, 6381164671280, 0, -12565654100442, 0, -15735885855456, 0, -4899271235308, 0, 1026610693248, 0, -8863103525588, 0, -12976241077080, 0, -2183499360302, 0, 1953638231292, 0, 365701990348, 0, -3135673296756, 0, 8605287518364, 0, -1612212141792, 0, -23194367892864, 0, -10266645563976, 0, -1351351586116, 0, 21560194461092, 0, 3208423788292, 0, -6713163998376, 0, -18991769544012, 0, 3524993250532, 0, 1710649815048, 0, -63934126896, 0, -4755453452972, 0, -6007851054984, 0, -15078820548008, 0, -3564324872528, 0, -11591074830900, 0, 13534571264264, 0, -21843383964408, 0, -22177873544868, 0, -34464174433968, 0, 1037707504124, 0, -2717550703244, 0, 5649678112404, 0, -11866644939312, 0, 14264339540252, 0, -7361019418624, 0, -35630403829732, 0, -17829444962172, 0, 26876309693872, 0, -16404284547764, 0, 3492605643304, 0, -9900493162540, 0, 19172036377224, 0, 90199901760, 0, 4575702744392, 0, 8241141007780, 0, 11851656321720, 0, -22442417069136, 0, -37815510541688, 0, 24281039003620, 0, 38899414060032, 0, -22880656789514, 0, -10449083551052, 0, -34410204043208, 0, -16129218554656, 0, -12344333495088, 0, 13104184036788, 0, -3447299676184, 0, -5004573502432, 0, -24219652426224, 0, -24403666165004, 0, 21367812009544, 0, 5282802284376, 0, -21753342909192, 0, -1499173799964, 0, -24106253523676, 0, 26959503326256, 0, 24603658334052, 0, 9026123963900, 0, 1871934515608, 0, 5171513651148, 0, -5372373878716, 0, -11291787050172, 0, 12354693251568, 0, -7690157262716, 0, 53520158431740, 0, 8640550751640, 0, -41393240775360, 0, -7446256078896, 0, 4430269402088, 0, -18457136182588, 0, -15106604193368, 0, 9055438765760, 0, -4827510800892, 0, -46010856337704, 0, -2849437452572, 0, 24117264343612, 0, 48214131287028, 0, -73147514318616, 0, -26169454544984, 0, 8730925601336, 0, 11999187329000, 0, 38039773775636, 0, 55008106147132, 0, 19728717411360, 0, -4926176667960, 0, 7716313145892, 0, 51434043606016, 0, 24921961495120, 0, 34911828548976, 0, -46194449734668, 0, 67563771328276, 0, 49351504485640, 0, 10401960067364, 0, 9858928203056, 0, -9063178069176, 0, -19217235171028, 0, -22719379428598, 0, -33484572198408, 0, -143568606896, 0, -11202750148560, 0, 29796113025336, 0, -27011663289720, 0, 44493236962984, 0, -63375954716680, 0, -993949167108, 0, 18383697375544, 0, 26364605309832, 0, 53530508271272, 0, 32562682211336, 0, 19590492606352, 0, 52221389451776, 0, 10168075068892, 0, 67251074826804, 0, 6587732542820, 0, 2190409423384, 0, -60868020664900, 0, 123880166081480, 0, 33584902848436, 0, -13404808279744, 0, 12637387347072, 0, -24087116269944, 0, -73078816902180, 0, 28576901478456, 0, 41833093392444, 0, -7709064706824, 0, -13901119506856, 0, -27798790019776, 0, -13344776525004, 0, 130013907465128, 0, -54479789259412, 0, -42937759656868, 0, 44264286294072, 0, 319663472528, 0, 72618440464984, 0, 59938917435796, 0, 107107336848008, 0, 24567873451472, 0, 18895639087728, 0, 37265887450212, 0, 20346574450928, 0, 36552478676116, 0, -27874087314988, 0, 156100490130920, 0, 117524826083344, 0, -114384912688532, 0, 6581601813764, 0, -44622910011816, 0, -54358069564256, 0, -37337305313580, 0, 46211784190604, 0, -9016043142652, 0, -24247047984264, 0, 45398882506576, 0, -9476602098512, 0, 96061579501680, 0, 2599811349856, 0, -124849649450986, 0, 43920676012064, 0, 23500597588008, 0, 121245059433456, 0, 41700302280760, 0, 118184860225244, 0, -39456163627316, 0, 26679099715840, 0, 25720830034140, 0, 42146651169880, 0, -48467086260644, 0, -86881700243696, 0, 48943639763724, 0, 147364479896964, 0, -45360615696760, 0, -13681908416960, 0, -130371601279344, 0, -55725038003864, 0, -113251603253044, 0, 26458957055228, 0, -22688622600384, 0, 17566980958680, 0, -62981646439528, 0, 54468399312232, 0, 99401757014228, 0, -84526778761340, 0, -82573093401164, 0, 43516523432496, 0, -100969047057276, 0, 178656537373596, 0, -16309426592368, 0, 63310023017424, 0, 13650836700236, 0, 36219519505416, 0, -23304106370076, 0, -3455650514488, 0, -4277719186508, 0, -82531780722864, 0, 172738730171360, 0, 74744752441768, 0, -201632044615292, 0, 68610475093392, 0, -157678356198880, 0, -218208499769260, 0, -34102588973704, 0, 126781835503004, 0, -29848269460802, 0, -13781022044412, 0, -84818710996324, 0, -34042638181248, 0, 62368808607956, 0, -180007608799376, 0, -237785341104324, 0, 102562864221448, 0, -77494990794252, 0, 133447024577688, 0, 77767794005576, 0, 87031028178776, 0, -93686677507368, 0, 29319022763524, 0, -21807649658168, 0, -55470926601756, 0, 48634805050152, 0, -223519341780004, 0, 126399370734802, 0, 205059965174064, 0, -141327035263396, 0, -225464479574576, 0, -91053435589308, 0, -175482603673400, 0, -164204717174536, 0, -42479869772308, 0, -30041165485188, 0, -30979927847208, 0, -69849342732452, 0, -165378566597432, 0, 201067419565944, 0, -113085151371468, 0, -144770991201060, 0, -99462897710608, 0, -70373579329552, 0, 54079959693108, 0, 47983596495384, 0, 30202584712832, 0, 54651607850852, 0, 50092719309984, 0, 250634361875296, 0, -213153859341888, 0, -23446860357832, 0, -92386096106576, 0, 172594799491352, 0, 4024136057024, 0, 13482930990820, 0, -141914681272912, 0, -171254863717724, 0, -269263518316516, 0, -105210095497504, 0, 53219927502288, 0, -5742336767492, 0, -297989473325560, 0, -105555589334916, 0, 11158929931220, 0, 231354943705700, 0, -402320887513584, 0, -128126303724280, 0, 28016397462340, 0, -85331261723496, 0, 126785384060444, 0, 65569480097024, 0, 52558136825136, 0, 70269112917284, 0, 7883221687744, 0, 58677811517472, 0, 120429083458580, 0, 24616809722856, 0, -376966676410216, 0, 428635563458412, 0, -40051959161660, 0, -144004792180128, 0, -142905334478344, 0, -151405996996900, 0, -346023495395688, 0, -109388494092832, 0, -98142665727204, 0, -33019100427768, 0, 171674493093752, 0, 8567825164524, 0, -144334489645136, 0, 174255308518020, 0, -260667944411552, 0, -407912549999952, 0, -31017487474680, 0, -18747415884482, 0, 303738525024408, 0, 107547050560448, 0, -85820799650264, 0, 201680770284276, 0, 49147118980128, 0, 269745863067744, 0, -112583550849936, 0, 79009117781160, 0, -336380629148200, 0, 467390239071232, 0, 234882340771712, 0, -274206852964800, 0, -50921677677088, 0, 25162149040156, 0, -603546749180840, 0, -260642190570548, 0, 367787172582924, 0, 16191818685380, 0, -280694609891868, 0, 14104898397968, 0, -49000346184008, 0, 52055304042092, 0, -30954781907400, 0, 22382345433216, 0, 163309717819568, 0, -96671775030324, 0, -90000361982040, 0, -291150891911880, 0, 295463508201016, 0, 28987574008668, 0, 55420982126796, 0, 220495752638244, 0, 103887948337404, 0, 64142922459748, 0, -81798118408188, 0, 289661590733388, 0, 414384599416660, 0, -199311399869828, 0, -370678391955208, 0, -116897661916488, 0, 182395150561004, 0, -74524199481984, 0, 229711749303504, 0, -8471989680388, 0, 90787795754568, 0, -460471708478576, 0, 286035889365312, 0, 267016144738596, 0, 20399662769680, 0, -103500551236716, 0, -20497064797872, 0, -562366152986748, 0, 893872023160824, 0, 62055346796408, 0, 77733105158712, 0, 352107505240896, 0, 57625823351616, 0, 147279248807836, 0, 149660565201328, 0, 121059287565040, 0, 200406638041728, 0, 459797531880888, 0, -22711345290760, 0, -269998306963344, 0, 352807690766268, 0, 151663044046288, 0, -252260638124636, 0, -236669820461056, 0, 206555192351240, 0, -36163095878988, 0, 433144926795172, 0, 90121279885374, 0, 551495729740568, 0, 337586944783760, 0, -244375532904688, 0, -505632199381072, 0, 579764078985012, 0, -378598866205076, 0, 320306574594108, 0, -47439557595808, 0, 301219114612328, 0, 176057397461112, 0, 136979428138696, 0, 325455934141256, 0, 284692890418200, 0, -25169746245648, 0, -417292593053136, 0, 140636608608520, 0, 478304761032480, 0, -33421927817424, 0, 29508243322344, 0, -76294796847036, 0, -313218978105496, 0, -5576221382020, 0, 426075684217656, 0, 20239817312104, 0, 516682691763552, 0, -81973834540628, 0, -444945121358552, 0, 37367845234288, 0, 705589977853556, 0, -248404094960100, 0, 42775637234472, 0, 157157882686984, 0, 134847841522696, 0, -496681177666692, 0, 423314206164896, 0, 133406384548576, 0, 129759397554956, 0, 313180974736532, 0, -232137715584864, 0, 58575477797712, 0, 611042024109076, 0, 750764462899124, 0, -132352238231520, 0, -362380813463848, 0, -336395121021064, 0, -308152589605304, 0, -378546890562592, 0, 173976189373172, 0, 576736715711868, 0, 31110872042588, 0, 152270108048948, 0, 82007853657468, 0, 374040260447668, 0, 258933194219476, 0, 250753531258560, 0, 78433818510832, 0, -554379195176964, 0, -202497731840112, 0, 491757587268392, 0, 20518574775076, 0, 535595342826276, 0, 775897024988488, 0, 14399905315432, 0, 224206192678120, 0, 123985624309936, 0, 169240143360448, 0, -402034971493980, 0, 500782005143252, 0, -210310849204696, 0, -475798437265864, 0, -53073940759640, 0, 922886866764768, 0, -833041766803024, 0, 474082888210512, 0, -82069161063956, 0, 21974154162298, 0, -26768710406084, 0, 12130354683652, 0, -19217416431176, 0, 658993667460720, 0, 404463966677692, 0, 497835954207216, 0, -356811285278872, 0, -383486817702952, 0, 262068607701964, 0, -393204301691088, 0, -612056712231456, 0, 877587475817648, 0, 117032180228340, 0, 427672259437768, 0, -446457282471840, 0, 355330579020364, 0, -618493736026248, 0, 237048026675148, 0, 188032703938416, 0, -147763620441060, 0, -1274659162892044, 0, 730431476304428, 0, -783297987459352, 0, -16132653152856, 0, 663821012201756, 0, 178551950284734, 0, -49185231432564, 0, 49440083326224, 0, -570861340097276, 0, -456355321481256, 0, 479234994948400, 0, 422297090105440, 0, -872451586015324, 0, -207410790731608, 0, -10766491230772, 0, -160566409398320, 0, -100957096533344, 0, 227557901909520, 0, 59851420083624, 0, -320601757232556, 0, -1317401352888308, 0, -696554892318904, 0, 856826073014480, 0, 362623904811568, 0, -382923314025224, 0, 530150383933052, 0, -1298248442972552, 0, -5508152068416, 0, -579765083493612, 0, -309410440305620, 0, 41159473397956, 0, 164978362167684, 0, -396391413002860, 0, -416729211972356, 0, 91803574998428, 0, 94143263475960, 0, 375531112091452, 0, -49751860122724, 0, -1114090561343736, 0, -1073877106626500, 0, -444837192772792, 0, -663784471890556, 0, -166075882587544, 0, 496146803002520, 0, 37275896758360, 0, 48929180154528, 0, -262958497024456, 0, -175752143388876, 0, 239265719914848, 0, -23075004979408, 0, -1466473958516464, 0, -1025354613296296, 0, -477376945761692, 0, 425695043279168, 0, -533029042666380, 0, 1185963960226796, 0, -2090357657364, 0, 189306877188780, 0, 903311508021488, 0, -1403619090898286, 0, -985599948727992, 0, -623219495141044, 0, 771702327931648, 0, -278965642742124, 0, -715676806201416, 0, -236644443026604, 0, -20163158195256, 0, -1626413406449244, 0, -383191380308636, 0, -757282072219968, 0, 135474663635428, 0, 143153128622320, 0, -466616958665124, 0, -94303170269416, 0, 949941600439544, 0, -203943552852500, 0, -379924853076100, 0, -1455666931488344, 0, -395874998984728, 0, 216584309867692, 0, -1497113655887124, 0, 352352206058208, 0, 1972795420811576, 0, 179541625321448, 0, 855309806970912, 0, -163460772139788, 0, -331780457685940, 0, -1421858266890844, 0, 1815467674175268, 0, -75713891125484, 0, -1929240941081664, 0, -1274906976932420, 0, -173218047453564, 0, -3173963300953200, 0, 890841811088432, 0, 1058536499266276, 0, -65491966818044, 0, 305412022741976, 0, 261233192509088, 0, -1846315901179240, 0, 295345063702760, 0, -478269094058664, 0, -260395415404656, 0, -93201887326088, 0, -952977073793712, 0, 1645925586339020, 0, 3037027639284, 0, -452123605643476, 0, 391113748904256, 0, 285402050672076, 0, 550807117487924, 0, -685756106506716, 0, 903464762824156, 0, -666000350303724, 0, 2887954793690496, 0, 572455675692960, 0, -1721929916913488, 0, -2383784772794992, 0, 799609691420436, 0, -3094160267236340, 0, -1681529686644220, 0, 1565765463833312, 0, 34638317312092, 0, -218837617812200, 0, 121669023657156, 0, -425512756153716, 0, 1678814067580516, 0, 273971518246400, 0, -769119110627240, 0, -1242456145069952, 0, -635849603691528, 0, 914986419161788, 0, -532108025025912, 0, -18415919386384, 0, 1695308660708144, 0, 648070857023564, 0, 331192055934392, 0, -173343576806416, 0, 702767115315256, 0, -1820225222992648, 0, 1300590644831208, 0, 328695504144072, 0, 220335316120400, 0, -1351949579897382, 0, -315193121827344, 0, -847319611035340, 0, -225598000288776, 0, -151901244954632, 0, 13035376921580, 0, -1994911556897068, 0, -973086539358888, 0, 1453731787083896, 0, 857648240271604, 0, 281360523077016, 0, 380099789759000, 0, -845082053536944, 0, -2771109165062420, 0, 1582679431889760, 0, 756818990266016, 0, 947520724985040, 0, -563806902371104, 0, 511315663009528, 0, 2686214768290204, 0, -103469744360964, 0, 710098809809896, 0, -242926563647708, 0, 2716800591288912, 0, 1156549755979796, 0, -2156698921256320, 0, -218055077431652, 0, -261706261223704, 0, -3363150144526312, 0, -1460139279506620, 0, 1002275927955648, 0, 35007891739600, 0, 2125632685968116, 0, -1624526821478716, 0, 1206675667705356, 0, 2665073609458200, 0, -1896568496728016, 0, -3354167398825096, 0, 399693375099648, 0, 687138535137632, 0, 4446090296145880, 0, 132365475708252, 0, 2191619872231540, 0, 912978693702480, 0, 609747482619860, 0, 995734836691184, 0, -1131589009807200, 0, -10129677875720, 0, -175876684369400, 0, 3123506306342640, 0, 3137653069699884, 0, -177120177934680, 0, -438173322162912, 0, -1405764198586520, 0, -3291080395542464, 0, -314617146468480, 0, 2836680101126000, 0, -192784313860944, 0, 2715352069144956, 0, 359864843454832, 0, -752295005585424, 0, 1259343975043616, 0, 673124026547052, 0, -1058072022139688, 0, 2071815190823032, 0, -2351585773179460, 0, 2115159867512024, 0, -1132478404843880, 0, 1980616905137888, 0, 1127846556292468, 0, 780208594738820, 0, 3243613851180840, 0, 2014242576790912, 0, -1259965947576312, 0, 837016705618384, 0, 4824613655887480, 0, 583868876749584, 0, -3751784127965240, 0, -2222037701801664, 0, 480361108373276, 0, -656892947793340, 0, 190773979679324, 0, 5859664478047824, 0, 116002803288112, 0, 565109823928860, 0, -3358114535509068, 0, 158058110479260, 0, 1581747331746092, 0, 1310330635108286, 0, -2268213229896356, 0, 303094484359836, 0, -1345922587644224, 0, 4517701818527264, 0, -1068341428959488, 0, 2006442632895936, 0, 3018709272814940, 0, 597857263448796, 0, 202892944349412, 0, 3118969145391136, 0, 1806388998311280, 0, -1266249583209664, 0, 2721112946082988, 0, 909552980284788, 0, -3829064820780312, 0, -138510996329704, 0, -15529557437784, 0, -3139919360640884, 0, -3371325145780832, 0, 618658328520064, 0, 65362310731224, 0, 251758776908736, 0, 948326824215888, 0, 4258425347851616, 0, 533824336061852, 0, -79056623920208, 0, -1637688316714272, 0, -1763402649124784, 0, -3632170004567528, 0, 4168867803502148, 0, -199600266481024, 0, 2854127518074344, 0, 1405425546297000, 0, 891552353713320, 0, 4491375429810276, 0, -1644830093813708, 0, 462143187884028, 0, -5420422053557424, 0, 3084383015233624, 0, 4317294251480876, 0, -1188804759733240, 0, -898145616346264, 0, 859053060055716, 0, -4155319873331140, 0, -2547676635245992, 0, 2128261753397672, 0, 439905014099252, 0, 1069208308671312, 0, -2550688184603880, 0, 1239989914425612, 0, 4995310444405432, 0, -1565023657294644, 0, -523850510439760, 0, 1011492935090208, 0, -1968233294271304, 0, 1851923810526676, 0, -1430641679313504, 0, -1036893075701052, 0, 3116578195287848, 0, 1064280502975872, 0, 1873904205368888, 0, -2399343680736000, 0, 2855759194075580, 0, 1665302252601396, 0, 5858237201817956, 0, 3363820767057112, 0, -2326581942842776, 0, -5072386776694004, 0, -2218655423284464, 0, -5884814953542180, 0, 1045252709788312, 0, 2327438597899172, 0, -211042395684900, 0, 2371328733477432, 0, -1865963847067104, 0, -776060906818280, 0, 5480975135181956, 0, -4056234001521632, 0, -2102449237477064, 0, -34212962335248, 0, -2463818590872388, 0, 4869844838219040, 0, 1223110736049108, 0, 744791521615068, 0, 1869682719284816, 0, 139788510734886, 0, 3534859545184092, 0, -2184310575466200, 0, 1312302649309596, 0, -400924831398212, 0, 6722580221045856, 0, -335762694313390, 0, -2397571802276352, 0, -3004813066362404, 0, 1561530731488332, 0, -3529260479237336, 0, -2442337426421952, 0, -940204928232940, 0, -125777198559740, 0, -1697396365193732, 0, 1312145867682692, 0, -2646571661762084, 0, 2159344541069968, 0, 801794609888304, 0, -3178307515496120, 0, 74092223843004, 0, -1367477723842736, 0, -916080805473568, 0, -5078502996875132, 0, -1484702300525976, 0, 4911261420700680, 0, 1089393246049212, 0, 4519174554830308, 0, 1802042720177704, 0, -386944435826304, 0, -6194717502715888, 0, 5720524472707128, 0, -2448707464941688, 0, -3013815480225976, 0, -543349419144620, 0, 309291362891204, 0, -5204129427981836, 0, -582329853278808, 0, 1458160114553092, 0, 209456192003500, 0, -2645252485731648, 0, -2242553060496232, 0, -4372935846322244, 0, 2434793509785088, 0, 156969348256400, 0, 368839452595216, 0, -3664150955132484, 0, -2793555998035920, 0, 1807654106093568, 0, -3236361217628332, 0, 859801659197128, 0, 2722455114655308, 0, 1024868985775024, 0, -1075160087828828, 0, -6389513895947916, 0, 778501392790640, 0, -3902247459308728, 0, 5534298215051448, 0, 4470778949659956, 0, -6173088082018416, 0, -4059160452994048, 0, -28181190553308, 0, -10310113092773920, 0, -573968244229824, 0, 501587245659696, 0, 19793648680260, 0, 2183035497340544, 0, -644589566296872, 0, 841844340286280, 0, 2817891143100008, 0, -2300626541114736, 0, -2564970480452396, 0, -5775729348701060, 0, -8544739433772816, 0, 2381224853436584, 0, 746696944281156, 0, 3865430645541468, 0, 35490772586248, 0, 811192545695948, 0, 827364100009040, 0, -3274565567836796, 0, 936541663506356, 0, -3256140593849144, 0, 421099087048188, 0, 1372915865332240, 0, -3865119415722232, 0, -2900069189738080, 0, 1880810113491220, 0, -5293882141882776, 0, -2120544880230712, 0, 3642368224833716, 0, 355209713914328, 0, -2196264105845528, 0, -3953415564703216, 0, -1121427985095432, 0, 842612978956464, 0, -3818397785015180, 0, -5661217194627672, 0, 1640718996073852, 0, -1924210958331620, 0, 9242177201351884, 0, -6170568016949896, 0, -3156084142760850, 0, 1658005410551160, 0, 439353758923716, 0, 3424583682958680, 0, 28717142439408, 0, -3781391719726468, 0, 4955139421069808, 0, 94126345950072, 0, -1517200341281064, 0, -2941067103617144, 0, -8290892640327524, 0, -5038884814509104, 0, -1939962436366964, 0, -1460954908767772, 0, 4060038304781788, 0, 199929073528600, 0, 4171915689520880, 0, -3835203260816144, 0, -2075723877789020, 0, -2145245860977340, 0, 3961548643127916, 0, -3668442408681996, 0, -1945323527830200, 0, -2246483694332576, 0, 441723213966816, 0, -2639230457858856, 0, 1477000023567280, 0, -4202387518957500, 0, 1008606459878628, 0, -1595372955495228, 0, 293791177090656, 0, -4643026205245676, 0, -2901036746968448, 0, 4371559283508832, 0, 1182961676377792, 0, -6879979360617432, 0, -123095777311528, 0, -110123263420284, 0, -3799113568345616, 0, 311299703947824, 0, 873114560505640, 0, 447112855533656, 0, -1627454170713420, 0, -157275467518920, 0, 1679225301635560, 0, 3585102194923552, 0, 7858116019527020, 0, -6657846108058272, 0, -1721591069928640, 0, -2875112961859744, 0, -4668828328319848, 0, -7568370276259780, 0, 6476063111015688, 0, 3657390761929992, 0, 444355293611268, 0, -1305556638836220, 0, -674984604403448, 0, 1937899333839736, 0, 2233675937840280, 0, 2728597310648520, 0, -896048014258976, 0, -5628186170700676, 0, 6897295955380, 0, -766088144274096, 0, -7054527708318156, 0, -971204770734780, 0, 6138180964482400, 0, 8773999635076, 0, 4067991547323520, 0, -1696836526665444, 0, 2351077909078644, 0, -3880129818390728, 0, 4034523978514944, 0, 2941283785509192, 0, -7168871495863708, 0, -5222720312150656, 0, 10879834229159928, 0, -5765808768144320, 0, 6486449063026468, 0, 550723830377372, 0, 1296154865130944, 0, 2763800242182792, 0, 707097154809112, 0, -3932416366916556, 0, 5035730081558824, 0, 7015845727298216, 0, 5059293133987968, 0, -4392043220240112, 0, -6357228817772728, 0, 516341252745988, 0, -5749354394782984, 0, -2172958257182760, 0, 5809562341839344, 0, 1923784804442280, 0, 7487798055719380, 0, -5128587728836056, 0, 3182710202206108, 0, 1442520337522176, 0, 1226881727706844, 0, 4062145212929648, 0, -1621420004293330, 0, -914312827663464, 0, 7613206450042876, 0, -5856102345892608, 0, -3568494664557252, 0, 1975840547007624, 0, 249652035734920, 0, -4142987355518376, 0, 2368684573557596, 0, 5549894456712240, 0, 2746552815589908, 0, -718747164911848, 0, -501847999157268, 0, 7864013732771412, 0, -3870893508921792, 0, 4203182902682044, 0, 1343808011908404, 0, 4587153810819064, 0, 7495940197326604, 0, 572266989366488, 0, -5379036368964968, 0, 4364263240482708, 0, -6246425669948400, 0, 1403127106478492, 0, 11202156380760052, 0, -452689853377480, 0, 2043116497494360, 0, -2547618129271784, 0, -928324600445324, 0, 4557557458867148, 0, -8653132940015976, 0, 515271572095872, 0, 646874996643408, 0, 11476169039385336, 0, -2053704952703368, 0, 69414284944584, 0, 1816479582796752, 0, 2504796155622960, 0, -3182101893284524, 0, -755092025420296, 0, -4036080976810548, 0, 13374850166163180, 0, 3814773781782580, 0, 2914874994289976, 0, 2372853945592444, 0, 1215644874578784, 0, -63762262656688, 0, -2077324114610536, 0, 2310540308514960, 0, 806497468584500, 0, 6834040423030248, 0, 6048374028720984, 0, -10736257708611524, 0, 5818868079302628, 0, -2680509135823632, 0, -1550533085247696, 0, 8552169113882456, 0, 16264864868684320, 0, -234191406410832, 0, -2071318292233464, 0, -9310993373805940, 0, -340108611109944, 0, -924193124945932, 0, 4136939712923440, 0, -3876988839440640, 0, 3659028732530184, 0, 3146887402688816, 0, -261443346601452, 0, 3175158377762600, 0, 19812318234614304, 0, -1262730423002680, 0, 503240191404340, 0, 7030726708615064, 0, 658047224654456, 0, 4090649051453512, 0, -4509043800173388, 0, -3830516130893636, 0, 6432250818637520, 0, -5509532409236208, 0, 16183957374440, 0, 1270740474463488, 0, 1637807916315340, 0, -3414505820584736, 0, 9041651638160664, 0, 224638204659804, 0, 6115402264356336, 0, 90526851314736, 0, -736639543784624, 0, 4921630007675764, 0, 2890635105540128, 0, -6468779078117456, 0, -2918043081682152, 0, -5074160541373620, 0, 22000228661060800, 0, -5705401971591528, 0, 617422273411472, 0, 7087716778001968, 0, 2556769178271412, 0, 13534237173998040, 0, 8581125894731392, 0, -9794069872657596, 0, 593369816414636, 0, 9418610399701920, 0, 7725804600378256, 0, 1981489559453706, 0, 867878204706136, 0, -5466633810517880, 0, -8111808479347060, 0, -3139687680868796, 0, 8309905441630668, 0, -918651722374984, 0, 5604428974676796, 0, -2617797349460340, 0, 8118153655758200, 0, 8978396543469120, 0, -6977564630099576, 0, -2855380434722760, 0, 8871991949635116, 0, -9742347117376548, 0, 3587320656222816, 0, -134258108868912, 0, 4516592135366396, 0, 11091353870723732, 0, 2455384082486192, 0, -2298808707895728, 0, 7927426384625012, 0, -1105986155772612, 0, -9664512576609676, 0, 17120939457213744, 0, 13217846984153164, 0, -8329118910129524, 0, -9181345441151632, 0, -15780110594167168, 0, -5942861931982720, 0, -1408257645572568, 0, 1906378363869192, 0, 175421260089608, 0, 1064768406521592, 0, 8937714470118600, 0, 6801029063999704, 0, 3160930566334280, 0, 2132812156782916, 0, -15678707403915800, 0, -6582806201380632, 0, 7723788536823448, 0, 3580952792462428, 0, 11292440024603824, 0, 4970061034841360, 0, -14977011475901028, 0, 2110771583975912, 0, 1005169929591724, 0, -1684982242074216, 0, 12616903022585056, 0, 7504665600759464, 0, 13380898171529580, 0, -1232513027505792, 0, -9684220684356876, 0, -8130885942769536, 0, 2972110209514052, 0, -11519786359947492, 0, -13136611278646624, 0, 1397666941185936, 0, -934865277066682, 0, -2988374961424940, 0, 2451486719934504, 0, -4347437362587960, 0, -5206030042919148, 0, -12618705510474320, 0, 2020437735232896, 0, 2666356270635628, 0, 5254114861041432, 0, 2364835196913788, 0, 274710206978480, 0, -2388325616410172, 0, -10124785223944940, 0, 493495290391948, 0, 13881397545810964, 0, -387628058442076, 0, 14114943851600420, 0, -18936378580849672, 0, 8025330492185232, 0, 4642560393194004, 0, 5674073096758504, 0, 914805090736536, 0, -8288856911401260, 0, -18951130723951708, 0, 2333064229855272, 0, -4711691506880984, 0, -3258460913442488, 0, -6108369943639212, 0, -14161619645516240, 0, -3505170294626056, 0, 13788832580703000, 0, -13169881119119392, 0, 5869509474198188, 0, 5411267715216304, 0, -5996411715199592, 0, 6864187118862464, 0, 5160646127170624, 0, -7330721315141368, 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, "nf_label": null, "projective_field": null, "projective_field_label": null, "projective_image": null, "projective_image_type": null, "qexp": [[0, 0, 0, 0, 0, 0], [1, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [11, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-29, 0, 1, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1610, 2, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0], [4482, 18, -4, 2, -1, -1], [0, 0, 0, 0, 0, 0], [2678, -33, 15, -4, -3, -4], [0, 0, 0, 0, 0, 0], [28561, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [1947, -357, 96, -4, -16, 10], [0, 0, 0, 0, 0, 0], [35533, 840, -91, 34, -28, 6], [0, 0, 0, 0, 0, 0], [86971, -883, 142, 25, 46, -46], [0, 0, 0, 0, 0, 0], [62893, 3158, -118, 16, 31, -87], [0, 0, 0, 0, 0, 0], [115865, -1908, 29, 213, -37, 46], [0, 0, 0, 0, 0, 0], [-34680, 6476, 455, 18, 40, 22], [0, 0, 0, 0, 0, 0], [266580, -3663, -221, 223, 37, -80], [0, 0, 0, 0, 0, 0], [-94676, 12154, 1511, 46, 133, 81], [0, 0, 0, 0, 0, 0], [92118, -8113, 405, -174, -153, 186], [0, 0, 0, 0, 0, 0], [-664076, 15794, 3239, 442, -593, 1071], [0, 0, 0, 0, 0, 0], [177535, -8969, 2362, -1106, 282, 264], [0, 0, 0, 0, 0, 0], [-13621, 31290, 1182, 76, 799, -1375], [0, 0, 0, 0, 0, 0], [314171, 28561, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0], [-1487090, 14770, 2025, -1190, 309, -899], [0, 0, 0, 0, 0, 0], [3551022, 43701, 7937, -1683, 115, 776], [0, 0, 0, 0, 0, 0], [-7682274, -11646, 2269, -3344, -1757, 1321], [0, 0, 0, 0, 0, 0], [10001211, 152130, -265, 1690, 485, -2496], [0, 0, 0, 0, 0, 0], [-12750834, 16190, -12216, 1090, 347, 1095], [0, 0, 0, 0, 0, 0], [20499865, 207875, 1596, 618, 624, -4032], [0, 0, 0, 0, 0, 0], [-15874254, 23846, -18105, -4442, 3259, -6309], [0, 0, 0, 0, 0, 0], [26618873, 244172, -5143, 1123, -6401, 1898], [0, 0, 0, 0, 0, 0], [-20139794, 53336, -19212, 7304, 218, 2938], [0, 0, 0, 0, 0, 0], [30100924, 238443, -2403, 1982, 1375, 9084], [0, 0, 0, 0, 0, 0], [-28201182, 99590, -3085, 11358, -11705, 11415], [0, 0, 0, 0, 0, 0], [44916516, 281115, -56109, 3390, -1839, 1986], [0, 0, 0, 0, 0, 0], [-828269, 0, 28561, 0, 0, 0], [0, 0, 0, 0, 0, 0], [59314141, 37417, -27988, -14001, 7480, 1542], [0, 0, 0, 0, 0, 0], [-45122374, 405442, 15275, -10462, 8105, -19063], [0, 0, 0, 0, 0, 0], [110232222, 14778, -72124, 7635, 20340, -10856], [0, 0, 0, 0, 0, 0], [-52840248, 634438, -47253, 37758, 14393, -687], [0, 0, 0, 0, 0, 0], [155791686, -332730, -4888, 8618, -10684, -7504], [0, 0, 0, 0, 0, 0], [-132534816, 431738, 15285, -28390, -2291, 7877], [0, 0, 0, 0, 0, 0], [211538894, -569550, -10052, 6894, -10132, -15844], [0, 0, 0, 0, 0, 0], [-174313287, 427950, 14657, -28096, 33623, 8873], [0, 0, 0, 0, 0, 0], [171570335, -1143921, 256560, -6057, -10804, 40282], [0, 0, 0, 0, 0, 0], [-175351289, 189500, 34679, -48036, -44932, 13308], [0, 0, 0, 0, 0, 0], [292716355, -1197934, 23689, 8365, -26345, -15230], [0, 0, 0, 0, 0, 0], [-33547166, -38120, -146034, 64120, -46766, -5998], [0, 0, 0, 0, 0, 0], [45983210, 57122, 0, 28561, 0, 0], [0, 0, 0, 0, 0, 0], [-192471476, -409606, 206869, -56768, -5753, 14341], [0, 0, 0, 0, 0, 0], [287364744, -1542768, 136640, -35806, 74256, 26200], [0, 0, 0, 0, 0, 0], [94797680, -1040834, -26529, 99626, -10631, -81555], [0, 0, 0, 0, 0, 0], [324072783, -1621215, 403350, -101361, 9798, -27534], [0, 0, 0, 0, 0, 0]]}