# Stored data for newspace 315.3.e, downloaded from the LMFDB on 01 June 2024.
{"Nk2": 2835, "analytic_conductor": 8.583128327349351, "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": 88, "dim": 38, "eis_dim": 16, "eis_new_dim": 4, "hecke_cutter_primes": [2, 13], "hecke_orbit_code": 274928238907, "hecke_orbit_dims": [1, 1, 4, 16, 16], "label": "315.3.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": 104, "mf_new_dim": 42, "num_forms": 5, "prim_orbit_index": 3, "relative_dim": 38, "sturm_bound": 144, "trace_bound": 11, "trace_display": [0, 0, 0, 0], "traces": [38, 0, 0, -76, 0, 0, 0, 0, 0, 0, 26, 0, 0, 48, 0, 116, 0, 0, 0, 0, 0, 0, 0, 0, 50, 0, 0, 0, -70, 0, 0, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 0, -184, 0, -96, 0, 0, -154, 276, 0, 0, 0, 0, 0, -408, 0, 0, 0, 0, 0, 0, 0, 44, 86, 0, 0, 0, 0, 144, 116, 0, 0, 264, 0, 0, 0, 0, -26, 0, 0, 0, 0, 0, -122, -48, 0, 0, 0, 0, 286, 0, 0, 0, -516, 0, 0, 0, 0, -280, 0, 0, 0, 0, 0, -120, 0, 0, -506, 0, 0, 0, 0, 0, 0, 848, 0, 0, 866, 0, 348, 0, 0, 0, 0, 0, 0, 0, 0, 924, 0, 0, 0, -1968, 0, 0, 0, 0, 0, -140, 0, 0, 0, 0, 0, 0, 0, 0, -172, 0, -818, 0, 0, -624, 336, 0, 0, 0, 0, 0, -960, 0, 0, 0, 0, 0, 0, 0, 1044, 1536, 0, 0, 0, 0, 276, 2048, 0, 0, 476, 0, 0, 0, 0, -288, 0, 0, 0, 0, 0, -996, -1678, 0, 0, 0, 0, 1220, 0, 0, 0, -3396, 0, 0, 0, 0, -648, 0, 0, 0, 0, 0, -1922, 0, 0, 1416, 0, 0, 0, 0, 0, 0, 1534, 0, 0, 2112, 0, 312, 0, 0, 0, 0, 0, 0, 0, 0, 2062, 0, 0, 0, -1654, 0, 0, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 0, 1944, 0, -1612, 0, 0, -1536, 1028, 0, 0, 0, 0, 0, -2472, 0, 0, 0, 0, 0, 0, 0, 3792, 2066, 0, 0, 0, 0, -2112, 1418, 0, 0, -184, 0, 0, 0, 0, 2172, 0, 0, 0, 0, 0, 348, -4728, 0, 0, 0, 0, 840, 0, 0, 0, -2820, 0, 0, 0, 0, -2928, 0, 0, 0, 0, 0, 184, 0, 0, -1222, 0, 0, 0, 0, 0, 0, 6288, 0, 0, 2594, 0, 1948, 0, 0, 0, 0, 0, 0, 0, 0, 880, 0, 0, 0, -4080, 0, 0, 0, 0, 0, 2484, 0, 0, 0, 0, 0, 0, 0, 0, 236, 0, -2626, 0, 0, -1472, -148, 0, 0, 0, 0, 0, -3864, 0, 0, 0, 0, 0, 0, 0, -500, 3012, 0, 0, 0, 0, -314, 1320, 0, 0, -1942, 0, 0, 0, 0, -5688, 0, 0, 0, 0, 0, -160, -2638, 0, 0, 0, 0, 4920, 0, 0, 0, -7344, 0, 0, 0, 0, -296, 0, 0, 0, 0, 0, -1562, 0, 0, 216, 0, 0, 0, 0, 0, 0, 5786, 0, 0, 648, 0, 8560, 0, 0, 0, 0, 0, 0, 0, 0, 3864, 0, 0, 0, 1754, 0, 0, 0, 0, 0, 2292, 0, 0, 0, 0, 0, 0, 0, 0, 3368, 0, -8496, 0, 0, -600, 384, 0, 0, 0, 0, 0, -8656, 0, 0, 0, 0, 0, 0, 0, -972, 4538, 0, 0, 0, 0, -216, 1802, 0, 0, -3672, 0, 0, 0, 0, -866, 0, 0, 0, 0, 0, 612, -8688, 0, 0, 0, 0, 3076, 0, 0, 0, -3598, 0, 0, 0, 0, -1308, 0, 0, 0, 0, 0, -6360, 0, 0, 6854, 0, 0, 0, 0, 0, 0, 18384, 0, 0, 2858, 0, -2618, 0, 0, 0, 0, 0, 0, 0, 0, 8328, 0, 0, 0, -2472, 0, 0, 0, 0, 0, 7324, 0, 0, 0, 0, 0, 0, 0, 0, -964, 0, -3188, 0, 0, 600, -3648, 0, 0, 0, 0, 0, -4804, 0, 0, 0, 0, 0, 0, 0, 1632, 2700, 0, 0, 0, 0, -5160, 4760, 0, 0, -7198, 0, 0, 0, 0, 688, 0, 0, 0, 0, 0, 4764, -6842, 0, 0, 0, 0, 2208, 0, 0, 0, -8928, 0, 0, 0, 0, -8386, 0, 0, 0, 0, 0, 5350, 0, 0, -600, 0, 0, 0, 0, 0, 0, 13148, 0, 0, 336, 0, 11520, 0, 0, 0, 0, 0, 0, 0, 0, -1212, 0, 0, 0, 2186, 0, 0, 0, 0, 0, 3132, 0, 0, 0, 0, 0, 0, 0, 0, 10728, 0, -15012, 0, 0, -3530, -7728, 0, 0, 0, 0, 0, -5616, 0, 0, 0, 0, 0, 0, 0, -5448, 6828, 0, 0, 0, 0, -5028, 1226, 0, 0, -11200, 0, 0, 0, 0, -4682, 0, 0, 0, 0, 0, 3266, -16768, 0, 0, 0, 0, 6646, 0, 0, 0, -6382, 0, 0, 0, 0, 3840, 0, 0, 0, 0, 0, -192, 0, 0, 5422, 0, 0, 0, 0, 0, 0, 14856, 0, 0, 744, 0, 11374, 0, 0, 0, 0, 0, 0, 0, 0, 8964, 0, 0, 0, 6416, 0, 0, 0, 0, 0, 10152, 0, 0, 0, 0, 0, 0, 0, 0, -240, 0, -11476, 0, 0, -172, -6976, 0, 0, 0, 0, 0, -8088, 0, 0, 0, 0, 0, 0, 0, -7990, 10068, 0, 0, 0, 0, 2640, 6096, 0, 0, -9982, 0, 0, 0, 0, -8256, 0, 0, 0, 0, 0, -1944, -6934, 0, 0, 0, 0, 1944, 0, 0, 0, -10764, 0, 0, 0, 0, -5306, 0, 0, 0, 0, 0, -7044, 0, 0, 16432, 0, 0, 0, 0, 0, 0, 14448, 0, 0, -720, 0, -6696, 0, 0, 0, 0, 0, 0, 0, 0, 4186, 0, 0, 0, 5662, 0, 0, 0, 0, 0, 4066, 0, 0, 0, 0, 0, 0, 0, 0, 17704, 0, -7320, 0, 0, 2616, -3648, 0, 0, 0, 0, 0, -10440, 0, 0, 0, 0, 0, 0, 0, 17256, 10284, 0, 0, 0, 0, -15300, -916, 0, 0, -11928, 0, 0, 0, 0, 7030, 0, 0, 0, 0, 0, 9384, -23568, 0, 0, 0, 0, 1056, 0, 0, 0, -3770, 0, 0, 0, 0, -16160, 0, 0, 0, 0, 0, 7824, 0, 0, -1492, 0, 0, 0, 0, 0, 0, 23624, 0, 0, 5952, 0, 9158, 0, 0, 0, 0, 0, 0, 0, 0, 2280, 0, 0, 0, -1272, 0, 0, 0, 0, 0, 12744, 0, 0, 0, 0, 0, 0, 0, 0, -2928, 0, -12044, 0, 0, -3168, -9720, 0, 0, 0, 0, 0], "weight": 3, "weight_parity": -1, "newforms": ["315.3.e.a", "315.3.e.b", "315.3.e.c", "315.3.e.d", "315.3.e.e"], "oldspaces": [[35, 3, 34, 3], [105, 5, 34, 2]]}