# Stored data for newspace 75.6.g, downloaded from the LMFDB on 25 April 2024. {"label": "75.6.g", "level": 75, "weight": 6, "char_conductor": 25, "char_degree": 4, "char_parity": 1, "sturm_bound": 60, "dim": 104, "eis_dim": 16, "eis_new_dim": 0, "cusp_dim": 192, "mf_dim": 208, "char_order": 5, "char_orbit_label": "g", "char_is_real": false, "trace_bound": 2, "num_forms": 2, "Nk2": 2700, "analytic_conductor": 12.028786485973548, "level_radical": 15, "mf_new_dim": 104, "char_values": [75, 5, [26, 52], [5, 1]], "hecke_orbit_dims": [52, 52], "trace_display": [8, 0, -6, 312], "traces": [104, 8, 0, -448, -6, -72, 312, 1122, -2106, 186, -474, 792, -492, 2748, 396, -12020, -2510, -2592, -5522, -4624, -1764, 3330, -2124, 13824, -2776, 3428, 0, -8076, -18404, -11916, -1566, -47508, 11934, -12376, 31650, -36288, 34532, 5954, -12168, -27068, 15774, 11916, -90688, -10814, -486, -22956, 104944, 70128, 356720, 376, 83232, -68900, 51336, -5832, -4346, -116100, -9216, -1262, -97428, -5886, -53660, 308014, -22518, -77062, 291552, -118296, -204320, -247784, -73332, 115060, -155672, 90882, 205896, 92988, 67176, 464032, -194536, 168120, -112020, -98384, -170586, 326904, 360614, -61128, -752802, 295956, -398232, -974738, -340932, -201204, 79494, -955258, 49608, 63522, 17136, -344844, 600740, 1297452, 25596, 1384746, -3204, 772704, -339378, 1408948, 326160, -773876, -528196, -96228, -907582, -3688334, -101304, -1228318, -1807006, -502362, 19750, 1354274, -46332, 982636, 1056808, 888048, -1356494, 1887232, 329418, 1121708, 492624, 222588, 1598090, -2399808, -41220, 2605578, -1002450, 120780, -827620, -1193016, 32076, 816932, 906428, -1006272, -1627808, 2445810, 136980, -4321274, 902684, -456840, 520422, -634456, 1363176, 4924524, 1460464, -174006, 2256368, 1821608, -203310, 2084366, 734480, -1845648, -1210952, 2264430, -789012, -8771020, 850494, 52488, -3575270, -1694912, -247104, 874870, -1793768, 1238940, -1115802, -1841428, -447282, 9168206, 6149894, 2622816, 3860680, 7474312, -311724, -3216516, -1111550, 1641546, -1108786, -10367156, 823536, -5517290, -6845320, 1537092, -150738, -10219758, -142884, 4762474, -370194, -6077880, 1125624, 1237624, -666522, -9761248, 3672776, -272160, 8216804, 14923322, 2653632, 2609100, 1981670, 1505826, 4474600, -3813104, 114696, 7826914, -2399702, -2330100, -2213136, -597048, -585270, -7737378, -5753634, -279936, -8915946, -17792496, 20448, -8386004, 2828176, 7324416, 4083708, 4978268, -1939626, 4328620, 4189662, -3496104, 1821012, -7558880, -5783328, -464844, 2483502, -2350782, -7591478, -3550892, 1331640, -3173232, 2069308, 4924764, 3845956, 3762746, 0, 4372682, 7627142, -3092868, 12480478, 26845400, 1245024, -1222904, 8113428, -702756, -5336028, 1045514, 7072992, -9179412, -3992296, 2246814, -5673142, -17186282, 1661796, -6475208, -15745530, -8478576, 6645290, -3359560, -5671836, 24561116, -1797822, 172044, -9628624, -3754696, -7146252, 6702320, 12013514, 7835436, -6257634, 2032856, -126846, 20016890, 7610812, 9258048, -9482102, 9276324, -100116, 13256872, -2916046, 1957932, -8416772, -9652882, 2238552, -12192948, -2350580, 6241788, 10521944, 7476800, 966654, -8119438, -4769268, -14696136, 1828084, 15757136, -148986, -3774808, -17791758, -1410696, 17147964, 9056678, -5103000, -4403320, -6268044, -10224846, -1397280, 15319110, 3240, 9355940, 10991944, 14880168, -477184, 11374168, -6381630, -7858366, 15810142, 11757312, -22413498, -37413988, -1590156, -15168580, -5314082, 20171304, 3007008, -15033596, -2384478, -11810842, -7292142, 1642176, 4874586, -5727838, -5212836, -10934088, -8820152, -5486616, 9059460, -9580976, -2174580, 5608590, -20990650, -32060898, 3916076, 48341550, 3942432, 2714184, 3961288, 6223752, -1028232, 21308362, 12407796, 2881530, 20093292, 6506082, -6929464, 8894874, 17336772, 11240618, 26823410, 87138, 251486, -52264944, -2850876, -14354530, 24924384, 822636, -38104418, -74116088, -28609254, 29974988, -38068554, 965196, -11650080, -69545256, -2023308, -13772660, 3155970, -8529516, 39443550, 2144590, -802548, 55195386, 10331422, -15768108, -25558356, 78055566, 25389396, 13769036, 29695420, -875934, -21088526, 24563222, 24400080, -43440254, -44866800, 15590484, 37477192, -30562774, -39366, 1405550, 24912544, -23253984, 34428492, 66001030, -7615152, -15726324, 8664870, -2002806, -5937032, -9399356, -9010224, -10628556, -21644352, -32462190, 19209772, -54599696, -15682086, 6717240, -6538842, 33086016, -31023486, 6779632, -17153730, 20443714, 39607274, 5680368, -26731810, 56236536, 27302508, -29243978, 65772020, 45450378, 17920600, 26294612, -9754020, 33676260, -39923572, -12184128, -7654514, 34760188, 704592, -112437136, -39246636, -12955464, 37423508, -48562186, -3132180, 9680838, -91203620, 2534796, 56884452, 65980116, -1685448, 82196650, -4615532, -35618688, 37840612, 62343894, -7834410, -13172794, 41555934, 8216640, -38575142, -42784722, -6617412, -38761208, 681558, 41032980, -46744534, -189260244, -624834, 10386924, 8751380, 64084680, 7600624, -27871480, -22004802, -3390998, 41991778, -472392, 463460, 50685756, 4729176, -46390002, -10699300, -9800064, 53346824, 17141266, 6172524, 59923184, -54078526, -60728184, 18495088, 107073606, 37061496, 76500426, 14819598, -9404100, 19086214, 68873778, 30079008, -2615824, 49197222, 24748218, -30980886, 42330416, 1119744, -237318, -3342044, 1844964, -5742064, -136388832, -9152676, -45935784, 12738494, -102222, -47694378, -149581108, -54408780, -114067788, -83238836, -29159928, -64408460, -149966750, 5002722, 54199420, -48493698, -4588812, 16880322, 34210482, -19543860, 108739544, 70755124, -4508136, -18690826, 106719250, 59831208, 16606098, 65202136, -16643178, -37584188, 62541388, 14108580, -37350884, -49502116, 37816020, 11430380, 65297616, 56946240, -17317972, 26652300, -6970536, 2984106, 30038680, -29004192, -89163892, -59748556, -13872222, -35165512, 99325038, 800442, 68119464, 32555078, -53419464, 11921526, -114817128, -39884526, -128705464, -56216160, 48654108, -69923860, 54850046, -14928336, 111722358, 48551814, -70909596, -67919388, -5987810, 895212, 57550842, 32320974, 27497808, 17660590, -25354494, -34158636, -14496428, 15694632, 7316244, 115997220, -4118604, 26164332, -90796148, -66496336, -53388882, -10520764, 76482334, -16549920, 116729954, -112686330, -17271036, 47197880, -51503820, -5274540, 15177668, 1220472, 11538936, -22824286, -43843218, 62358840, 46379800, -45467792, 72836244, -61346608, 98434320, -5939892, 3142210, 90158000, 62658144, -98844816, -45891408, -6448446, -109659002, 28873208, 31705830, -8506202, 114418340, -17814852, -10973358, -17275892, -5743854, 80411268, -20264492, 8774568, 14445132, -21970426, 10112328, 187087072, 61821498, -35386776, -71408276, -19290730, -708588, 154001032, 287120518, 31680432, 143226388, 161860340, -3183462, 68793482, -143670846, -4931604, 216327498, -4775000, -68802516, -90242952, -135625034, -21653586, -27266958, -20577390, -16207452, -23399710, -390576636, -32111388, -257762628, 12067424, 86921586, 20274456, -50107624, 1621296, 200887300, -101475994, -132976044, -97526222, -227159966, 17841726, -285627572, -92771750, -7495578, -38828874, 160343990, 42680736, -129275740, -92769078, 30289230, -48348714, -65923206, 75267144, 81078004, 220435444, -26568648, 155855284, 197178868, 59513580, 107796920, 180412740, 10235160, 9584440, 160822102, 106629948, -41545572, 160754524, 114791904, 20061588, -42406038, -10903410, 62907178, -28966748, -19324296, 133036662, 120646680, 1784124, -145764244, -18218586, -103455144, -39796806, 87805034, -6547716, -63640152, -93804218, 31300308, -73349302, 245302650, -13817466, 187257860, 6575970, -284019192, -86112008, -270101034, -55300392, -64627806, 60039742, -17749206, -29613918, -104186190, -68385744, -86771996, -96812988, -138454380, -15604392, -170430854, 29209734, 289983100, 158374268, 88340364, 177162276, -49822750, -68456340, -9447498, -239665762, -8129808, -103669292, 71067090, -7119684, -338123412, 30554272, 19942614, -262887090, -111624754, -1255662, 144809932, -327752068, 206749152, -188470116, 30044060, 24837570, 268354434, 104867900, 11247336, -103561560, -106953028, 67300416, -307537114, -64497560, 220758372, -36594538, 155900024, 10688598, -30115332, -45809604, -65652192, 103320864, 25588930, 20597166, 5255290, 41336894, 49420692, 144750408, 410015712, -21699540, -5705884, 158273604, 69872850, 349819740, 5279640, 15379308, 312756662, 155878502, -143286624, 294822690, -256077062, -136718136, -8784418, -27718590, -6915294, -63765292, -91794590, -135298836, -49542114, 57993004, -146718900, -3836916, -290122364, -33960546, -21570730, 26108582, 87998652, 13975084, -42557536, 9995076, -16157860, -312571090, -77375898, -54705260, -31847608, -5662296, -696203984, -228693812, 56475612, -236041360, 421195082, -6989652, -323027406, -198907190, -8973000, -151366168, -310097082, 154971072, 42640688, 190699484, 5145282, 56597126, 162238566, 100028592, 372364522, -89346416, 281127834, -29250750, 557082106, 68205726, -42208362, 459524004, 175078368, -60288570, -9351876, -133018668, -165672346, -131317378, -7848414, -54028772, 480392342, 165201660, 440459188, 68635600, -195820488, 17575756, 298578298, 34085610, 220130100, -188791550, 224390736, 135653712, 138826440, -153534204, 477879096, -41573448, -305799948, 40939102, -471200014, -107294364, 102296538, 53299224, -179612550, 165778058, -128392296, -3109914, 115730480, 993308, -147172176, -20979560, -447919760, 11734164, 110685722, -93312320, 47814786, 136567064, -147952302, -123716952, -257986778, -104243710, 81275346, -145994196, 7442684, 82191186, -465700560, 106503538, -83478384, -218124940, -477066022, -9135972, -171371922, -569525576, -13810176, -25621640, 388132870, 109339740, 44886886, 94791746, 264331404, 18692730, -365804104, 55413072, -299538190, 203646988, 231289380, 279476734, 947277296, -45979146, 237933702, -106833962, -104119992, -27569004, 312457018, 126971496, 68655118, 233725704, 277535862, 526067132, 812217138, 34634790, -103562090, 19669268, 68638860, -137192148, 127441654, 146002500, 544940790, 307365348, -62683956, -35087906, -721502898, -479309832, 376340060, -110825702, -266548608, -332180976, -179006146, -34828056, -132187084, 179970958, -361745208, 76178280, -754158160, -214512336, -391964328, -313915766, -7794468, 62220840, -436721196, 29110788, 109708808, -471975510, -306853038, -141822192, -775521762, 41661378, -348568508, -131931914, 203006340, -218614036, 777674458, 28346976, -129501068, 62659492, -10640484, -101341032, -527400806, 253767960, -329231854, 605480858, 424102230, 190921528, -193944636, 71634456, 198411472], "hecke_cutter_primes": [2], "level_primes": [3, 5], "relative_dim": 26, "hecke_orbit_code": 412417523787, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 7, "prim_orbit_index": 4, "conrey_index": 16, "newforms": ["75.6.g.a", "75.6.g.b"], "oldspaces": [[25, 4, 6, 2]]}