# Stored data for newspace 13.8.b, downloaded from the LMFDB on 19 April 2024.
{"label": "13.8.b", "level": 13, "weight": 8, "char_conductor": 13, "char_degree": 1, "char_parity": 1, "sturm_bound": 9, "dim": 6, "eis_dim": 2, "eis_new_dim": 2, "cusp_dim": 6, "mf_dim": 8, "char_order": 2, "char_orbit_label": "b", "char_is_real": true, "trace_bound": 0, "num_forms": 1, "Nk2": 832, "analytic_conductor": 4.0610053312935825, "level_radical": 13, "mf_new_dim": 8, "char_values": [13, 2, [2], [1]], "hecke_orbit_dims": [6], "trace_display": [0, -56, 0, 0], "traces": [6, 0, -56, -130, 0, 0, 0, 0, -1150, -406, 0, 1898, -5018, 9558, 0, 7778, 13152, 0, 0, 0, 0, -125080, 27264, 0, -18262, -54210, 194560, 0, 42924, -60114, 0, 0, 0, 0, -546720, 747772, 0, -243492, 511160, 792058, 0, -1138134, -1005576, 0, 0, 0, 0, -2807426, 3246846, 0, 297984, 3252964, 1705524, 0, -5320576, -2282730, 0, 0, 0, 0, -8237572, 9625800, 0, 5070862, 7139028, 9289056, 0, -16801086, -6017400, 0, 0, 0, 0, -28760826, 20426072, 0, 4093560, 14088594, 15147200, 0, -21318442, -9130240, 0, 0, 0, 0, -36474240, 38008000, 0, 4769676, 21281832, 36462348, 0, -34229770, -22075632, 0, 0, 0, 0, -66236288, 64100748, 0, -11228496, 27770886, 28742940, 0, -32471448, -25669330, 0, 0, 0, 0, -32509956, 35412348, 0, -4525584, 22148854, 42488828, 0, -38197338, -35903830, 0, 0, 0, 0, -26870964, 35719952, 0, 25321796, 19563284, -43924824, 0, 13580208, 71834640, 0, 0, 0, 0, 29122104, -87426810, 0, 17863790, -43460040, -2481652, 0, -59652, -22204952, 0, 0, 0, 0, 149414340, -99513876, 0, 40348752, -84916988, -177727308, 0, 151037664, 132063270, 0, 0, 0, 0, 260092176, -384479980, 0, -79941270, -168379770, -119027250, 0, 293154538, 109226004, 0, 0, 0, 0, 388412708, -88849848, 0, -3706764, -134677452, -250626752, 0, 346177476, 127521168, 0, 0, 0, 0, 360958224, -578077582, 0, -420763608, -368969328, -125241364, 0, 372430920, 2328944, 0, 0, 0, 0, 567704958, -111259696, 0, 188278128, -58202508, -594088872, 0, 540046376, 410296188, 0, 0, 0, 0, 158244120, -692756382, 0, -362142624, -424010028, 519902466, 0, -90739062, -295013438, 0, 0, 0, 0, 292104228, 349684080, 0, 666597504, 279514716, -504031168, 0, 63838840, 429020298, 0, 0, 0, 0, -433758296, -352685536, 0, -421935264, -157550328, 340369200, 0, -618440534, -194996568, 0, 0, 0, 0, -655000766, 1085382192, 0, 894840768, 1070714502, -210168564, 0, -737116416, -186385248, 0, 0, 0, 0, -905550132, -31236678, 0, -397733658, -222100476, 1776684980, 0, -1467695916, -1119670548, 0, 0, 0, 0, -971725014, 2820675464, 0, 1103942952, 1755365144, -524064720, 0, -135044346, 188368224, 0, 0, 0, 0, -2351389216, 752309142, 0, -1953728092, 715823472, 3084325528, 0, -2763309390, -2071626672, 0, 0, 0, 0, -1791545280, 3386500040, 0, 1939697040, 1277165370, -488769136, 0, -372645360, 192307340, 0, 0, 0, 0, -1674222288, -438337044, 0, -1834628402, -927188522, 2562347316, 0, -1079807360, -1441526412, 0, 0, 0, 0, -2418285808, 3556376592, 0, 1161255752, 2893951944, -838434192, 0, -249596088, 1264202016, 0, 0, 0, 0, -1064249448, -1455007200, 0, -53034720, -1579203808, 3728539680, 0, -825939588, -1532185504, 0, 0, 0, 0, -58699908, 2979628458, 0, 1539325304, 509830074, -4431824136, 0, 984988992, 2122456164, 0, 0, 0, 0, 1554293564, -6989229360, 0, -2044031786, -1536254460, 2870772270, 0, -1780903548, -1635929960, 0, 0, 0, 0, 4547167548, 1900619848, 0, 4305478884, -647153364, -5312892816, 0, 4850439468, 4841256326, 0, 0, 0, 0, 1800215616, -6151031368, 0, -4914318024, -2807985960, -3791297256, 0, 3412083600, -1761708000, 0, 0, 0, 0, 6072196228, -3219817632, 0, -89636464, 861736122, -3901520980, 0, 2187515592, 4143213450, 0, 0, 0, 0, 10066684020, -7368714126, 0, 1364904744, -5270439408, 1871994862, 0, 5128814890, -978084616, 0, 0, 0, 0, 4694918868, 862849632, 0, -911175634, -4135469598, -10467724296, 0, 8931878264, 4044264318, 0, 0, 0, 0, 2069700704, -13097482932, 0, -8208048976, -1201873920, 128818524, 0, -1417471902, 2396316720, 0, 0, 0, 0, 8644995936, -1191464352, 0, 7010701752, -3814160272, -1429776072, 0, 9310604768, 2394914980, 0, 0, 0, 0, 3191382588, -6361624702, 0, -6368451750, -9389585556, -869336940, 0, 7822200346, -1873660416, 0, 0, 0, 0, -652548148, 1093420152, 0, -1033035480, 6054038016, -792586224, 0, -8918763420, 3796799268, 0, 0, 0, 0, -840165456, 1782826500, 0, 11200289088, 62874760, 6845387684, 0, 4406780970, 263154384, 0, 0, 0, 0, -8572007642, 1225271000, 0, -6045260688, -792892412, -7412507856, 0, 2115743304, 820252686, 0, 0, 0, 0, -5736255258, 2013602004, 0, -6365446884, 7525000080, 4024075212, 0, -21568368696, -4859941980, 0, 0, 0, 0, 6635171790, 8521991408, 0, 15981706764, 1372929636, 15695074632, 0, -3245683396, -14016402552, 0, 0, 0, 0, -20243525616, 21884007166, 0, -4857180360, 8518060616, -8268559950, 0, -6489863980, 3458751624, 0, 0, 0, 0, -18970316210, -729051768, 0, -7045016968, 19076665920, 18768097248, 0, -31445592624, -10026268940, 0, 0, 0, 0, 4091642784, 26079327096, 0, 22948166268, 4472354952, 7179561998, 0, 3194909276, -3904070616, 0, 0, 0, 0, -28212403008, 13564992240, 0, -10523751920, 3126522204, -3614238144, 0, -7717677640, -10363070934, 0, 0, 0, 0, -25336914288, 14186654748, 0, -1195690256, 21409765416, 14900267388, 0, -36265278420, 4852522896, 0, 0, 0, 0, -1573096752, 5683661784, 0, 12567540768, -4567237012, 36242357822, 0, 8184881280, -16369711076, 0, 0, 0, 0, -16263806372, 27896319956, 0, -6873650700, -3826805606, -27093694800, 0, 12278093738, 2730016044, 0, 0, 0, 0, -23234625972, -18198384288, 0, -18956194696, 5673554016, 14875458720, 0, -42492272436, -4046215818, 0, 0, 0, 0, 1025770104, 23330915424, 0, 40702565220, 12028177824, 10031750812, 0, 29633093940, 17903658240, 0, 0, 0, 0, -6945709194, -20342575536, 0, -28147019536, -26827612630, 12925258212, 0, 24626430288, -5334134130, 0, 0, 0, 0, 12172840712, 13796856630, 0, 27671614, 16713372468, -11929785588, 0, -33290060292, -9062254680, 0, 0, 0, 0, 38300986518, -29998426560, 0, 14766056724, -33375344730, 1667585808, 0, 22624910268, -9711245860, 0, 0, 0, 0, 1245830240, -4237880060, 0, -8910431874, 243714224, -89993444982, 0, 72900930488, 53176184160, 0, 0, 0, 0, 15020488396, -63136286772, 0, -66194135008, 5983826940, 41394575342, 0, -38935737696, 512194736, 0, 0, 0, 0, 89994270840, -1439542560, 0, 71421863094, -26164966152, -24384858804, 0, 51476346096, -864587560, 0, 0, 0, 0, 19475517054, -29729256144, 0, -31789435152, -43575538032, -64447522656, 0, 15171658052, -7654895652, 0, 0, 0, 0, 12628247328, -38771179512, 0, 12140871902, 38543500632, -14542626626, 0, -14524301760, 43346954304, 0, 0, 0, 0, 80302247688, -54030260604, 0, 11189899968, -51482560662, 48700344056, 0, 71004764400, 1222280492, 0, 0, 0, 0, 46606338480, 1387239940, 0, -20616816480, -19693886316, -112102511340, 0, 70919878856, 30705451332, 0, 0, 0, 0, -3471843700, -95438724480, 0, -45797482440, -17335789848, 6215159040, 0, -58403825760, -13389781734, 0, 0, 0, 0, 41170862592, 27607975194, 0, 95803784868, 1629250584, -11343232704, 0, 30374856636, 34913753184, 0, 0, 0, 0, -20473600824, -27576572836, 0, -56464171360, -52676122356, 15056777604, 0, 66735727664, 26029812192, 0, 0, 0, 0, 10482857610, -15640080750, 0, -31132374634, 28196849616, 9679094124, 0, -29360750556, -51711856976, 0, 0, 0, 0, 30695005056, -4834572048, 0, 53685664572, -31058333280, 2515458536, 0, -16132919280, 9119033330, 0, 0, 0, 0, -58660726808, 34472273040, 0, -10508566464, 12983987016, -46873086510, 0, 36289984392, 57763034160, 0, 0, 0, 0, -66472285664, 23232722112, 0, -70330069336, 71787075204, 123744844536, 0, -63162216768, -57233836470, 0, 0, 0, 0, 15030988368, 78381641916, 0, 73033468710, -29039401872, 49945255088, 0, 28583225288, -50468867136, 0, 0, 0, 0, -32956523874, 40368193112, 0, -34067428116, 5497304670, -91413917808, 0, -51779470120, -61847890572, 0, 0, 0, 0, -91626308464, 32530245396, 0, -33180818830, 114550548840, 74556216480, 0, -158405169960, 53534105008, 0, 0, 0, 0, -33573319662, 20643022728, 0, 63691007760, -15517419996, 122506212812, 0, 24680916544, -43282421562, 0, 0, 0, 0, -46274283180, 146923051552, 0, -3355466860, -3416354136, -38730912744, 0, -52145198910, -126221448936, 0, 0, 0, 0, -124996889122, 40771012368, 0, 9304266642, 132935027628, 305388744, 0, -183695422296, 16305461892, 0, 0, 0, 0, -97915305288, 116062495328, 0, 63457903248, 68988091432, 57831783600, 0, -10160402172, 87667608704, 0, 0, 0, 0, -75614919168, 90166966148, 0, -41584777584, 68665466844, 71778373512, 0, 33329913600, -9101679120, 0, 0, 0, 0, -17868977268, -62041782432, 0, -19385364118], "hecke_cutter_primes": [], "level_primes": [13], "relative_dim": 6, "hecke_orbit_code": 68853694477, "weight_parity": 1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": true, "level_is_prime_power": true, "char_orbit_index": 2, "prim_orbit_index": 2, "conrey_index": 12, "newforms": ["13.8.b.a"], "oldspaces": []}