# Stored data for newspace 91.8.w, downloaded from the LMFDB on 20 April 2024.
{"label": "91.8.w", "level": 91, "weight": 8, "char_conductor": 91, "char_degree": 4, "char_parity": 1, "sturm_bound": 74, "dim": 252, "eis_dim": 16, "eis_new_dim": 16, "cusp_dim": 252, "mf_dim": 268, "char_order": 12, "char_orbit_label": "w", "char_is_real": false, "trace_bound": 0, "num_forms": 1, "Nk2": 5824, "analytic_conductor": 28.42703731905508, "level_radical": 91, "mf_new_dim": 268, "char_values": [91, 12, [66, 15], [10, 5]], "hecke_orbit_dims": [252], "trace_display": [-2, 0, -6, -1062], "traces": [252, -2, 0, -6, -6, 768, -1062, 248, -169132, -12, 8786, -13824, 0, 29800, 7978, 442370, -6, -38188, 2848, -99072, -127962, 8028, -6, 13116, 0, -409476, 0, 182934, -116432, 0, -860198, -429596, -754974, 768, 160606, -868554, -217800, 0, 1627628, -3275952, -2417670, 3905156, 2599008, -1448346, 13116, -118602, -4155018, -72060, -2660104, -5631014, -3461940, -2976820, -2003916, -1678854, -2590062, -2132700, 8114044, 1768038, -6, 73700, 0, 5434848, -153982, 0, -4886234, -11087430, 9428884, 11904762, 7796922, 506784, -25883586, 24969694, -12723466, 8910558, 5906244, -11124992, 0, 50057426, -8377948, -50907012, 89010700, -58889484, -14652858, -67210388, -42392038, 42300030, 35839482, 0, 15789282, -57369384, -36099378, 95785908, -9041490, 0, 14897370, -106764234, 10736774, 51230620, 12081580, 133758740, -27125328, 13252968, -20005400, 200324172, 22825302, 19037350, -39627784, 40409082, -86664248, 121048458, -81551016, 129874396, -43258104, 250023450, 51604590, -28763274, -92540466, 0, -18313278, 19022686, 0, -132724860, -115775400, 224722426, -122146866, -231805544, -138888282, -14434424, 13122, 27867622, -105148950, -216671124, -108978640, 62516016, -88127256, -188673030, 199706032, -59478054, 92376456, 175026984, 16474746, -112519680, 216392880, -418310886, -543006, 410772882, 305211876, 115125834, 328311598, -270695748, 92559786, 0, 327462318, -154367714, 0, -830018186, 132207462, 314566658, 447747630, -88943304, -19195074, -46185726, 361436496, -799546770, 339123248, -179836116, -194159346, -687756780, 57889176, -360710408, -440994936, -192998088, -218456868, -129684102, -799208648, -72855526, 531394292, 729901518, 0, 1236732690, 304930028, -319445990, -56797600, -118778184, 0, 202668036, -442375368, 648298902, 119424630, -351465668, -248967148, -2665663164, -422504610, 355681920, -636909000, 452879940, -420027970, -91507864, 48065430, -871661458, 1388277588, -971760114, 1041948058, 585487700, 781116018, 1767459684, -220979352, -937497228, 0, 1121649266, -279864860, 0, 895692618, -821117794, -283025112, 2195261790, -242318430, 937525386, -56730262, -60098304, 1036958598, -945605862, -549961238, -629278408, 92849454, -266807518, 320616666, 2383880722, -1346901982, -2304811908, 2874943404, 1681525512, 286726608, 291402480, -257894380, -1704029442, -590071632, 1120290360, -625842884, 583385912, 1168068256, -1254011878, 0, 1364207104, -2564627078, 0, -785154164, 2859802686, 4139042584, 1356538458, -342328848, -4325248400, 164525968, -1824575064, -5016601236, 922618394, -1111743426, 2955447792, 1232265280, -1042235874, 164861992, -1503113772, -1292921920, -497074188, 2675749116, 311299732, 1058143778, 1689714498, 3432436602, 0, 321518018, 1671166212, 1496253958, -939114412, 655607192, 0, 1953991800, 5286198276, 897755826, -3488436610, -1258429150, -3821250076, -5871116172, -6635479954, -1814196336, -2479412082, -2025101670, -3431817830, -385201884, -2025600012, -1404679220, -1952135960, -4223841678, 4519312724, 1712264304, -1706553324, 4747785864, 71476662, 728405448, 0, 5395632954, 2435457524, 0, 6295626800, -1335756638, -2948404188, 3808321168, -3072330494, -1576985682, -1609066580, -354227376, -1968961454, -503894760, 1402270770, 2380596938, -6309906252, -928555158, 5479832790, 4644528002, 5235936264, -3043798416, 7678670100, 2841708690, 4710650286, 1491731026, -364590904, -5654557674, 7949206398, -1144627896, 2634721652, -4937253530, 11118607944, -2874674582, 0, 2514867192, -13518023106, 0, 5136717214, 925529190, 9102138750, -2492848566, -4824781266, -10296510930, 4826592034, -8714037032, -17722980366, 1009977548, -5678721114, -3363495550, 6191564664, 537206134, 2337840980, -14500019646, -27884790184, 1174956852, -455626020, 305224122, -276484028, -650709358, 5557466766, 0, 6849766968, -12298171092, -1004828690, -498154500, 10571515466, 0, 20133876588, 14768984142, -2988764634, -1334873040, -2964923760, 1860440176, -6378096876, -9702888572, -9806761728, 7478983494, -2216724482, -2504338246, 12536734416, -13394781492, -11931138842, -7415732436, -14165580774, 197521990, -6904387952, -5189374104, 12718221356, 8857572030, -15428123178, 0, 38856072656, 3165780290, 0, 18814137864, 16338383486, 11252384482, 24419448150, 8950427750, -9149611908, 4189838546, 10172726850, -9483660976, 14050884678, -13810045992, 1117236434, -221964756, -23248203676, 3349318642, 9224822742, 26015784390, 21829630980, 4342134906, -18132154280, 335502504, 14935565724, -5271472718, -14337488658, 13407301080, 23511249234, 8210780012, -14646898660, 19652674632, -17221730062, 0, 10868536182, 2504177928, 0, 2159003950, 3294511860, 503848444, -2975704242, -3263813220, -35025354754, 3494081088, -8327741194, -20655933984, -11182433052, 689056310, -7947314904, 3314917512, 10279928820, 1594256508, -47352965568, -37422271240, -7333240908, 6173057580, 5076508500, -14493860588, 24859667834, -7606461894, 0, 9047533140, -57965939484, 3199909550, 27319452320, 10182525426, 0, 29956119834, 21756518352, -2138242488, -35191495416, -14903727152, -31923974456, 10148855832, -4535315642, -21096627504, -1012926402, -571339782, -333244284, 13837493518, -36074770368, 1296591998, 5232272694, -8542424830, -1713392016, 5346985194, 4801475640, -23030404680, 90739459452, -19214222824, 0, 15329763702, 911518936, 0, 61959785940, 28618525722, 13254407580, 27035317722, -16787913818, -5722770222, 37045385002, 12364056462, -20021194598, -14523469266, 31517243564, 1498305834, -17577884196, -16181060144, 20594434392, 6410941982, 10049045670, 1280318610, 6444200142, 9108469960, 263082816, 35597155800, -8243683348, 6315123864, 56262507546, 31155039650, 2828403954, -25587301640, -10102456494, -29059417142, 0, 15172610388, 3142634966, 0, -40541286294, 13320322254, -49550896932, 3530717424, -36124867932, -94278080942, -2197340524, 5431028534, -99762069894, -223750684, -35830224816, 272354676, 7058906536, 23026393664, -15154969558, -30925324770, -82821874192, -35954807724, -22115920668, 10924657096, 18793284876, 23953830442, -4760660562, 0, 25810460976, -53709784044, 23097534756, -9833302300, 67527867614, 0, 90426418662, 61730925078, -40307600940, -33827700210, -801597512, -33349457436, 34104361020, -3311232868, -49655386902, -23678390916, 14653212320, -14526614910, 44318554570, -24551661024, -6385434256, -10472062728, -13429410324, -18586699950, -508486636, -47745223530, -101095747338, 58115019996, -82323013560, 0, -23524342302, 6144321774, 0, 75272885288, 85238367426, 31709131692, 50035829724, 38626177200, 94013820756, 72325150842, 63403114386, -38135575926, -5889673128, 19240686450, -2977028092, -24584177604, -65866390494, -27391236276, 8102700958, 56705125008, 123886134744, -3649994724, -29759497498, 23715293442, 94648277760, 23117966548, -21205517088, 23599828956, 62409473922, -40265424486, -80321017324, 15271335294, -57690578528, 0, -1190626110, 8416475374, 0, -59812553986, 73999610886, -672005900, 6823416852, -33772146438, -162991652700, 18895494546, 90465078984, -65667447380, -14432572088, -19050411678, -24705650196, 12059689836, 58726363644, -15690654622, -111883945944, -83661478000, -78584844, 44074328406, -18128580154, 38976318710, 102244193218, -11829785364, 0, -26084872068, -158356760196, 56871188964, 23939941336, 80303426026, 0, 72586851696, 127137937752, 53547524348, -67964073258, -71972160462, -101193962840, 149066714568, -5413070638, -84395132640, -16365722964, 49681820994, -10359275996, 35297839514, -9003867438, 33880879096, 1696809942, -4742921046, -104481311058, 41098265516, -151264018746, -106658045900, 33106360176, -102685529856, 0, 65035953104, 49901790562, 0, 37478735106, 53402410700, 109204179732, 23132500374, -66708805508, -18752826486, 202391353932, -38335278846, -71175752864, -59282117544, 38457660210, 68269106396, -33042219414, -86727477578, 61292926272, -516437688, 287280111630, 27144345936, 28292368320, 28640421822, 208899833154, 74583362094, -18504491706, 51565543982, -84902799342, -42244518018, -15720549620, -147201704824, -156278460714, 40246463774, 0, 23321732568, 25295009362, 0, -112652560284, -12732027426, -56106646022, -182127943512, -33895720254, -138079578984, -51886375386, 17502849098, -233306449824, 19505048162, -49486681542, -53263921500, 244771015008, 52670548612, 6257232682, -68692342446, -5004937456, 56514406836, 182920691532, -53588669844, -96323973824, 60112944096, 166881308760, 0, 143544016686, -54121245420, 207634434964, 38492210240, 136415715576, 0, -34814873430, 123800935750, -51220324170, -35702082656, -128332615162, -215756349264, 219693923496, -9616054824, -152589871872, -50821781376, 58215056514, -64614836746, 181582593052, -33041113650, 65980964068, -40122659850, 58353886956, -188821369020, 12521902346, -143842973976, -184353378312, -111811034214, -376815377280, 0, 126465722418, 50603317474, 0, -37253127972, -55516853240, 129450876930, -70926868548, -52873182780, 33030340320, 217971163412, -168663528738, 33162277298, -108935749836, -181143021950, 282660254438, 38156889948, -272958221544, 205830020652, 15462542638, 344312290130, 70909744098, -488487396, -184252310834, 318813615402, 209257368618, -38189053462, -127156771662, -233370709434, -159517173896, -10705669352, -315065156694, -18996568072, 151469140342, 0, 95515118298, 56604208528, 0, 56045014642, -13874823252, 98501492488, -395902570494, 52603216806, -329034400528, 76451268616, 22457591150, -120178629672, 41514320510, -74623289844, -258151136082, 223596664080, 119246689604, -11996546862, 10786466742, 43664930716, 332897062764, 187271556812, -167050600062, -68114124274, 39859172084, 268422215496, 0, 91321735872, -75725133120, 316738905938, 106477585404, 194381743526, 0, -144046808568, 449814069234, 252883116150, -16682208724, -164368925960, -563406238900, 120591682740, -68164927358, -190618768872, 32558002102, 15225843434, 94223681574, 196979069142, -9218162736, 40306579608, 178093248846, 54041975130, -528705863748, 21053681386, -276739886274, -265220864808, -345699363234, -443562157632, 0, 161049446584, 49391564346, 0, -152255077956, -94679010438, 202857173940, -25610161882, -280139864806, -18002607198, 492011508652, -210575723868, -99615801912, 76699733550, -336491349180, 427301996588, -100856953518, -207486338466, 542080018350, 5601993602, 471300244170, -54675339048, 85620409132, -60172256406, 723358426602, 94036298092, -10941289330, -171660933924, -255877261530, -365192984376, -179979587720, -373552150842, -211834941006, 360100855112, 0, 153209314428, 67545470390, 0, -262827241836, 26260607826, 26291804226, -636309370560, 237092929146, -237887598110, 239718371410, -65156874588, -375565245032, 154744711650, -344843812350, -147952630662, 442069100592, 191787797090, -72667381152, 27473616660, 268991834604, 397310178900, 387123427266, -155898570220, 20308470322, 18447178652, 797904961722, 0, 389398299150, 319699729392, 530855035942, 19220650684, 490735427866, 0, -284710435854, 531363803628, 305237115238, -142704766498, -182094252956, -409860542852, 708171183768, 91568534994, -113577177216, -186220478922, 47641968132, -54928432764, 231604441758, 120759118374, 326694490018, -127639656390, 148461965724, -314670432400, 158765795010, -441688312218, -543553497948, -676148994114, -1298322616368, 0, -92670390632, 44911376852, 0, -254516727918, -320803475264, -5432904, -305553970062, -246688612142, 110043290130, 343722175106, -960256043256, 25448413718, -411178896384, -336017458584, 810114552998, -119544797946, -414061304970, 291244392138, -155733343180, 816491289000, 201437621226, -194355959886, -296305546418, 645107417070, 674104075644, 58905288640, 27167565560, -541382594304, -414458198778, -116559254018, -751367914986, -420351752010, 458530680286, 0, 341723547330, 46508958742, 0, -50691912798, 215204842212, -97575900924, -794566266228, 180627435924, -436349671962, 327217850938, 379815027790, -266910789426, 324376603864, -332729361840, -282790021428, 486366270996, 355317785286, 92920513224, 181525412328, 272057874960, 623233362216, 635773954344, -207156246126, -61056659574, 471541637000, 473125706034, 0, 72580728108, 208008316008], "level_primes": [7, 13], "relative_dim": 63, "hecke_orbit_code": 1511962706011, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 23, "prim_orbit_index": 23, "conrey_index": 19, "newforms": ["91.8.w.a"], "oldspaces": []}