# Stored data for newspace 7.7.d, downloaded from the LMFDB on 25 April 2024. {"label": "7.7.d", "level": 7, "weight": 7, "char_conductor": 7, "char_degree": 2, "char_parity": -1, "sturm_bound": 4, "dim": 6, "eis_dim": 4, "eis_new_dim": 4, "cusp_dim": 6, "mf_dim": 10, "char_order": 6, "char_orbit_label": "d", "char_is_real": false, "trace_bound": 1, "num_forms": 2, "Nk2": 343, "analytic_conductor": 1.610378585338957, "level_radical": 7, "mf_new_dim": 10, "char_values": [7, 6, [3], [1]], "hecke_orbit_dims": [2, 4], "trace_display": [4, -3, 165, -406], "traces": [6, 4, -3, -20, 165, 0, -406, -1312, 42, 2580, 403, 5964, 0, -5936, -20910, 3064, 8229, 6672, 29985, 0, -8967, -63584, 8383, 28872, 19950, 33768, 0, -18004, -26588, -10560, -39399, -39072, -36711, 0, 46305, 175488, 17707, 60960, 16548, -137280, 0, -22344, 285388, -122652, -370530, -184592, -407823, 0, 375438, 578800, 64809, 128856, 165043, -44496, 0, -214480, -141534, -11696, -436299, -207900, 141201, 0, 380898, -778720, 10500, 1025532, 701271, 799596, 0, -1634640, -1277684, 141072, -421599, -688900, 826050, 0, 1149967, -1268736, 573759, 2654040, 872505, 2585016, 0, -1982148, -1677390, -947680, -1909746, -556648, -2990823, 0, 711480, 1178376, 551337, 223584, 958485, 972720, 0, 1050364, 1879428, 601000, -588003, -1367712, -839499, 0, 2512230, 4041832, -1785269, -2691612, 139591, -7534320, 0, -1151640, 6783796, 330732, -4498455, -1864560, -1594656, 0, 3694845, 2554320, 176884, 4797804, 153132, 2085972, 0, -2358384, -3123108, -4047296, 529026, 1062600, -1902939, 0, -3127719, 1368896, 4997205, -2292384, -2771177, 6312204, 0, 5909400, -6220446, 4447696, 8608068, 4347072, 8974470, 0, -13075503, -16092584, -10326137, -7772400, -593309, -7076184, 0, 2656528, -7244070, 5448408, 10088313, 6836240, 21937437, 0, -523817, -13800312, 10895847, 12261816, -1406955, 7216272, 0, 5430768, 1200198, -9397140, -2039274, 5410120, -23023815, 0, -18252850, 5064752, -2611011, -33480660, -11352197, 2872800, 0, 20429472, 2597706, 5949656, 33962205, 751188, 20905917, 0, -4274172, 21973440, -9870269, -20162544, -6298169, -46410840, 0, -416108, 40224532, 10622928, -13211775, 1649600, -12293571, 0, 11046532, 12496680, -14198100, 13164960, -6963522, -11958576, 0, 12633180, 12857164, -11997900, -5406750, 5555968, -12579510, 0, 1228773, 7199672, 18190917, -33169500, -18541908, 14506992, 0, 15565200, -4711800, 8727328, -4551711, 18095364, -17675451, 0, -44084859, -9449824, -21120473, 4490640, 12590805, 18710748, 0, 4692240, -24038828, 9730920, 55184385, -4901496, 59841936, 0, 48532785, -40182240, 30671172, 14656296, 10597440, 35398500, 0, -48110496, -57554906, -21911056, -42650505, -25281568, -47648499, 0, -34061769, -57682800, -17728620, 54901536, 58197535, 33427440, 0, -74337900, -45029286, 15014540, 36612993, -21810960, 97938957, 0, 84793716, -4054760, 39746050, 72288972, -3639429, 25217136, 0, -1393560, 59608708, -10952484, -152867655, -28284072, -96260985, 0, -17243688, 57313728, -33039258, 9335040, 1066044, -27092268, 0, -20464752, -36576030, -15626192, 17317773, 24464452, 13537188, 0, 46744404, 41945600, 47118081, 45306888, 18906765, -38618784, 0, 38933076, 62367066, -20224320, -117897531, -44663808, -178109319, 0, 68615190, 134188232, -28906853, -68206176, 1125706, -9086640, 0, -21936740, 40089930, -54005580, 4263000, -79097104, 37898697, 0, 63904281, 137188680, 37028527, 6770736, 67114566, -48662208, 0, -70505904, 95372884, 96255268, -61273386, 3496500, -2052123, 0, 66000746, -79789856, -81897015, 163065228, -6420137, -89689824, 0, -92758400, -127626408, -75554832, -145549995, -43918500, 74583930, 0, 2039625, -179057504, 141166099, 30753360, -38554278, 280466928, 0, 8941128, -27854310, -45182064, 155958765, 105570584, -81390960, 0, -261008069, -17613624, -95091573, -6373104, 71819625, 57896808, 0, 219048228, -50294876, 150236100, 388633386, -6863936, 200973441, 0, 32972100, -222401224, 52422804, -234963624, -29343569, -66956400, 0, -156434656, -149963430, -54021344, -247026615, -61619472, -15286659, 0, -115098354, -79661600, -73839881, 52770708, 39695964, 282629340, 0, -30344048, -183075658, 50989032, 281921301, 252852600, 142939017, 0, 165954033, 81822144, 41722800, -6739488, -188446104, -354273132, 0, 211459500, 207824580, 79862672, -123282522, 70329104, -81443550, 0, -171268083, 4149624, -121210404, -174174720, -217876781, -249647976, 0, -12045768, 247045020, -20039108, 59753649, 192904128, 82735377, 0, -218049510, 241878672, 43377331, -94703028, -84738315, 193176144, 0, 523207104, 283445524, -121480800, 332485020, -101518128, -306709287, 0, -67399500, 197442720, -81217181, -656717820, -21472965, -431732700, 0, 67944576, 36282636, 136552160, 70842735, -302147036, 33923397, 0, -35807597, -38446080, -184192467, 14183880, 194205614, -222665076, 0, -300851964, 261998868, 59437792, -95971011, 74818800, 88072068, 0, 283969308, 298316432, 240271500, 296717904, -37186481, 31370448, 0, 355190220, 288295684, -167837544, -126999690, 109286352, 234758070, 0, -206584028, -309458688, -122007497, -36697500, -279501852, 49512960, 0, -30417744, -766667070, 83365876, 195121581, 496627112, 42527685, 0, -546415023, -608909056, 211761189, -140415852, -98487855, 268290456, 0, 262441424, -384854982, -149679600, 266564505, 30476784, -251918775, 0, 13604850, 479839168, -2580099, -299631384, -17689748, 380131140, 0, -166673304, 90215664, 270587376, -17298795, -202219592, 562386465, 0, 164548615, -407370600, -44356497, 846452352, 484698312, 288457344, 0, -505066128, -411080028, -150304740, -141455250, -177407600, -74440722, 0, 375448087, -1029186616, 152300865, 689603712, 221991823, -152340336, 0, -166633320, -432138582, 67543120, -385686843, -368933292, 539033790, 0, -91172151, 337011872, -253850789, -149952420, 64087419, 100517256, 0, -689387664, 830118700, 44703360, -482668623, 120814408, -366522999, 0, 111515376, 909339648, 301167277, 476902416, 265255200, -39132576, 0, 320969796, -298243590, -506722080, 336418902, -391660920, -942109899, 0, 835961070, -175446744, 75330321, -667743552, -409277921, -119811600, 0, -96724936, -169480572, 412166596, -788615100, -219556032, -147443943, 0, -8031786, 837657960, -492034956, 20085408, 374154855, -280431648, 0, -477766912, 1590784900, -187178604, -27287907, 168342300, 384268671, 0, 1518431061, 1349677728, 511513125, 1043359356, -114893055, -69725628, 0, -16052400, -67545732, -69822824, -1347663918, -136730036, -2318679390, 0, -697876032, -326606720, -270034044, -718337280, 18887467, -35280396, 0, -38488800, -1150729260, -442262496, 595379397, -193403520, 704143185, 0, 42034797, -761758456, 246441955, -133749360, 630386865, 207372816, 0, 497830788, 1425639724, 314640900, -390537255, -798738880, 92694420, 0, 295239945, 873794976, -438761126, 594204408, 517324920, 655118160, 0, -469986048, -10795724, -18004048, 91953450, -285554660, -137508171, 0, -32442312, -146701920, 1127042913, 686712660, -112283741, 880168464, 0, -453857600, -1607101518, 68309328, 104142780, 411644580, 114677805, 0, -656219004, -1812725792, -1086519000, 117423216, -314863164, -255584952, 0, -706153000, -1056043844, 423052560, 396865977, 923257168, 1845333495, 0, 776495013, -866081160, 645011539, 862420560, -600697698, 76925328, 0, -225299844, 473184600, -998678028, -301103802, 408875920, -448297251, 0, -738211803, 199406464, -316260459, -74789568, -273473900, 305144784, 0, 227349024, -223002018, 1127557140, 1176090378, 188689452, 1657946217, 0, -493621590, -558264288, -156228571, -1335649392, 447378747, -663610500, 0, 309340864, -1169350436, -185673072, 321846585, -182328820, -181430928, 0, -79636277, -954204000, 526456963, 359960808, 577554516, 270354672, 0, 726921468, -813075020, 352826720, 1409719581, -493711320, -4422435, 0, -430338153, 903406584, -80268210, -1784425296, 104466516, -806940960, 0, 1200869460, 3235629858, -183181892, -674982843, -146596224, -150630150, 0, -992896212, 1970447224, -767428452, -1141749000, -895146818, -428696832, 0, 1437605512, 1098164010, -529218876, -570549339, 626637888, -57312027, 0, -426122060, -291607392, -195505380, -788147916, -1378235415, -1472453052, 0, 650683152, -1377094902, 806496000, 473538654, 1816639060, -2770613583, 0, -1029250635, -471466464, 133478901, 415755456, -1532119781, -1500885180, 0, 1136756544, 1287108906, -1160277616, 1494779745, 926398008, 1266108474, 0, 656031600, 3765963600, 477777535, -323210016, -790452561, 697257768, 0, 49491960, 4636679836, 923494896, -622099299, 85520400, 580689141, 0, -674533167, -21874272, -1164099300, -1427827212, 449304867, -466171776, 0, 489321840, -2321336174, -541228288, 1119689838, -1740548696, 486224085, 0, 382014500, -3031621264, 1085675769, -532062600, 463778873, -1294639416, 0, -736300656, -2445889140, 255802616, -1723121655, -1281925176, -1958290575, 0, 19851468, 1782026656, -1263871241, -1145953872, 1547225445, 1268120952, 0, -660564492, 2378886374, 43386720, 2326065420, 155766400, 1817152848, 0, -597187500, 1002404088, 1270571607, 1468532496, 411824616, -93576360, 0, 769452096, 728659132, 530544168, 1634632515, 1795087600, 2555882697, 0, -514460828, -6258299160, -1328038785, -589953168, -1229884107, -35279136, 0, -71105888, -4448513832, 872055472, -308467074, 1299192000, 253355253, 0, -1554746382, -1862346016, 790864200, -374092596, -2139752513, 4628382948, 0, 1218336000, -1858711556, -1603348632, 2023401744, 1787757452, -446166765, 0, -531466299, 2496594528, 46374115, 405969960, 389754120, -1605480408, 0, -207654552, 911842300, 3391792160, 265559526, -227890848, -863250783, 0, 2956103997, -2641858104, -1938762291, 2542477200, 1257540105, -212508576, 0, -3957884896, -1389918342, -1954039500, -3703472727, -1422280464, 2301099948, 0, -477124515, -1957701808, 3399298375, 1975917804, 1731377844, 3300550800, 0, -1404375672, -168019532, -406316112, -2672615235, -610312176, -654011658, 0, -633016265, 3815403360, -2350183374, -373349592, 132490254, -1692108012, 0, 1468990992, -1398067092, 702640656, 412758855, -4004662200, -1479573483, 0, 1936119360, 1987384256, 1539699000, -69322200, 1002613063, 1428684876, 0, -2373285600, 422327988, -1737407552, 805427697, 33089952, -1889046690, 0, 2954532126, 467678736, -242434282, 3282546240, 2572414303, 949754736, 0, 315008344, 2352925770, 1206343152, 1410315057, -496440688, -2123358633, 0], "hecke_cutter_primes": [2], "level_primes": [7], "relative_dim": 3, "hecke_orbit_code": 206275870727, "weight_parity": -1, "level_is_squarefree": true, "level_is_square": false, "level_is_prime": true, "level_is_prime_power": true, "char_orbit_index": 4, "prim_orbit_index": 4, "conrey_index": 3, "newforms": ["7.7.d.a", "7.7.d.b"], "oldspaces": []}