# Stored data for newspace 315.5.e, downloaded from the LMFDB on 08 March 2026.
{"Nk2": 7875, "analytic_conductor": 32.56153837141096, "char_conductor": 35, "char_degree": 1, "char_is_real": true, "char_orbit_index": 5, "char_orbit_label": "e", "char_order": 2, "char_parity": -1, "char_values": [315, 2, [281, 127, 136], [2, 1, 1]], "conrey_index": 244, "cusp_dim": 184, "dim": 78, "eis_dim": 16, "eis_new_dim": 4, "hecke_cutter_primes": [2, 13], "hecke_orbit_code": 274961793339, "hecke_orbit_dims": [1, 1, 2, 2, 8, 32, 32], "label": "315.5.e", "level": 315, "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": [3, 5, 7], "level_radical": 105, "mf_dim": 200, "mf_new_dim": 82, "num_forms": 7, "prim_orbit_index": 3, "relative_dim": 78, "sturm_bound": 240, "trace_bound": 11, "trace_display": [0, 0, 0, 0], "traces": [78, 0, 0, -612, 0, 0, 0, 0, 0, 0, -2, 0, 0, -228, 0, 5220, 0, 0, 0, 0, 0, 0, 0, 0, -846, 0, 0, 0, 742, 0, 0, 0, 0, 0, 1454, 0, 0, 0, 0, 0, 0, 0, 0, -3944, 0, 6504, 0, 0, -1638, -1404, 0, 0, 0, 0, 0, 13968, 0, 0, 0, 0, 0, 0, 0, -20868, 2314, 0, 0, 0, 0, 4236, 9148, 0, 0, -10152, 0, 0, 0, 0, -14190, 0, 0, 0, 0, 0, 18450, -74712, 0, 0, 0, 0, -55302, 0, 0, 0, 31068, 0, 0, 0, 0, -46032, 0, 0, 0, 0, 0, -91704, 0, 0, -13950, 0, 0, 0, 0, 0, 0, -38624, 0, 0, -27098, 0, 200952, 0, 0, 0, 0, 0, 0, 0, 0, -49284, 0, 0, 0, 53112, 0, 0, 0, 0, 0, 5108, 0, 0, 0, 0, 0, 0, 0, 0, 107836, 0, 98778, 0, 0, 140592, -119184, 0, 0, 0, 0, 0, 115212, 0, 0, 0, 0, 0, 0, 0, 95952, 86160, 0, 0, 0, 0, 83604, 16240, 0, 0, -26300, 0, 0, 0, 0, -298416, 0, 0, 0, 0, 0, 254172, -64010, 0, 0, 0, 0, -131340, 0, 0, 0, 219468, 0, 0, 0, 0, -98880, 0, 0, 0, 0, 0, 110250, 0, 0, 91632, 0, 0, 0, 0, 0, 0, 105866, 0, 0, -566640, 0, 102600, 0, 0, 0, 0, 0, 0, 0, 0, -157926, 0, 0, 0, 344350, 0, 0, 0, 0, 0, 124068, 0, 0, 0, 0, 0, 0, 0, 0, 345168, 0, -139740, 0, 0, 228864, -447692, 0, 0, 0, 0, 0, 261336, 0, 0, 0, 0, 0, 0, 0, -887040, -417290, 0, 0, 0, 0, -254712, -500498, 0, 0, -1022264, 0, 0, 0, 0, -157464, 0, 0, 0, 0, 0, 237996, 416232, 0, 0, 0, 0, -185412, 0, 0, 0, 609300, 0, 0, 0, 0, 722304, 0, 0, 0, 0, 0, 394728, 0, 0, 318750, 0, 0, 0, 0, 0, 0, -122040, 0, 0, -713534, 0, -904620, 0, 0, 0, 0, 0, 0, 0, 0, -579120, 0, 0, 0, 2589312, 0, 0, 0, 0, 0, 791976, 0, 0, 0, 0, 0, 0, 0, 0, -47180, 0, -423210, 0, 0, 1034640, -913724, 0, 0, 0, 0, 0, 707304, 0, 0, 0, 0, 0, 0, 0, -807132, -1519884, 0, 0, 0, 0, -875550, -1331496, 0, 0, -806594, 0, 0, 0, 0, 898200, 0, 0, 0, 0, 0, 203520, 380590, 0, 0, 0, 0, -225744, 0, 0, 0, 1892640, 0, 0, 0, 0, 1557888, 0, 0, 0, 0, 0, 1346370, 0, 0, 2704536, 0, 0, 0, 0, 0, 0, -12482, 0, 0, -2018376, 0, -1381200, 0, 0, 0, 0, 0, 0, 0, 0, -545496, 0, 0, 0, 3279934, 0, 0, 0, 0, 0, 987204, 0, 0, 0, 0, 0, 0, 0, 0, -50312, 0, 911664, 0, 0, -165348, -2279784, 0, 0, 0, 0, 0, 1978432, 0, 0, 0, 0, 0, 0, 0, -4430868, -1414178, 0, 0, 0, 0, -1323048, -2765090, 0, 0, -2975496, 0, 0, 0, 0, -118230, 0, 0, 0, 0, 0, 436308, 2265792, 0, 0, 0, 0, -538452, 0, 0, 0, 2997814, 0, 0, 0, 0, 198228, 0, 0, 0, 0, 0, 3101616, 0, 0, -1488282, 0, 0, 0, 0, 0, 0, -1937184, 0, 0, -2783234, 0, 195978, 0, 0, 0, 0, 0, 0, 0, 0, -4790520, 0, 0, 0, 6204600, 0, 0, 0, 0, 0, 513020, 0, 0, 0, 0, 0, 0, 0, 0, 1724500, 0, 774948, 0, 0, 4906080, -2401584, 0, 0, 0, 0, 0, 2246296, 0, 0, 0, 0, 0, 0, 0, -1490784, -1820196, 0, 0, 0, 0, 1958520, -4049960, 0, 0, -2175242, 0, 0, 0, 0, -2777664, 0, 0, 0, 0, 0, 4791420, 997874, 0, 0, 0, 0, -2779392, 0, 0, 0, 8088672, 0, 0, 0, 0, 308838, 0, 0, 0, 0, 0, -653646, 0, 0, 3716424, 0, 0, 0, 0, 0, 0, -2947148, 0, 0, -6681288, 0, -1733040, 0, 0, 0, 0, 0, 0, 0, 0, 25908, 0, 0, 0, 6779950, 0, 0, 0, 0, 0, -418452, 0, 0, 0, 0, 0, 0, 0, 0, 506280, 0, 2465652, 0, 0, 1957266, -5766000, 0, 0, 0, 0, 0, 7126620, 0, 0, 0, 0, 0, 0, 0, -4500720, -1346148, 0, 0, 0, 0, -503892, -2737922, 0, 0, -1247360, 0, 0, 0, 0, 2104602, 0, 0, 0, 0, 0, 1773750, 4718944, 0, 0, 0, 0, -4540602, 0, 0, 0, 5225902, 0, 0, 0, 0, 1530144, 0, 0, 0, 0, 0, 3109344, 0, 0, 4369674, 0, 0, 0, 0, 0, 0, -9589224, 0, 0, -5467140, 0, -134838, 0, 0, 0, 0, 0, 0, 0, 0, -9621324, 0, 0, 0, 8988736, 0, 0, 0, 0, 0, -2314200, 0, 0, 0, 0, 0, 0, 0, 0, -1551600, 0, 5926356, 0, 0, 1479732, -2202920, 0, 0, 0, 0, 0, 6533976, 0, 0, 0, 0, 0, 0, 0, -4174818, -6897852, 0, 0, 0, 0, 1517676, -3990528, 0, 0, -1268594, 0, 0, 0, 0, 350160, 0, 0, 0, 0, 0, 3653400, 4417438, 0, 0, 0, 0, -9314232, 0, 0, 0, 13291932, 0, 0, 0, 0, -2183406, 0, 0, 0, 0, 0, -1609512, 0, 0, -11648832, 0, 0, 0, 0, 0, 0, -9931920, 0, 0, -4749000, 0, 2161800, 0, 0, 0, 0, 0, 0, 0, 0, -8196090, 0, 0, 0, 5060810, 0, 0, 0, 0, 0, -3107602, 0, 0, 0, 0, 0, 0, 0, 0, -8101720, 0, 8879376, 0, 0, 7502820, -1272624, 0, 0, 0, 0, 0, 13775928, 0, 0, 0, 0, 0, 0, 0, -6908184, -8156772, 0, 0, 0, 0, 6320796, -1198796, 0, 0, 3856152, 0, 0, 0, 0, -4394862, 0, 0, 0, 0, 0, -2183736, 14747688, 0, 0, 0, 0, -1600368, 0, 0, 0, 9261410, 0, 0, 0, 0, 13300848, 0, 0, 0, 0, 0, 787200, 0, 0, 687636, 0, 0, 0, 0, 0, 0, -21688232, 0, 0, -4159536, 0, -12724242, 0, 0, 0, 0, 0, 0, 0, 0, 3212088, 0, 0, 0, 3521760, 0, 0, 0, 0, 0, -7941744, 0, 0, 0, 0, 0, 0, 0, 0, -2959368, 0, 6602796, 0, 0, -1384320, 5930328, 0, 0, 0, 0, 0], "weight": 5, "weight_parity": -1, "newforms": ["315.5.e.a", "315.5.e.b", "315.5.e.c", "315.5.e.d", "315.5.e.e", "315.5.e.f", "315.5.e.g"], "oldspaces": [[35, 3, 34, 3], [105, 5, 34, 2]]}