# Stored data for newspace 800.4.c, downloaded from the LMFDB on 24 May 2022. {"char_orbit_index": 3, "prim_orbit_index": 2, "label": "800.4.c", "level": 800, "weight": 4, "char_conductor": 5, "char_degree": 1, "char_parity": 1, "sturm_bound": 480, "dim": 54, "eis_dim": 48, "eis_new_dim": 0, "cusp_dim": 336, "mf_dim": 384, "char_order": 2, "char_orbit_label": "c", "char_is_real": true, "trace_bound": 11, "num_forms": 15, "Nk2": 12800, "analytic_conductor": 47.20152800459249, "level_radical": 10, "mf_new_dim": 54, "char_values": [800, 2, [351, 101, 577], [2, 2, 1]], "conrey_indexes": [449], "hecke_orbit_dims": [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 8], "trace_display": [0, 0, 0, 0], "traces": [54, 0, 0, 0, 0, 0, 0, 0, -486, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, 172, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 116, 0, 0, 0, 0, 0, 0, 0, -1622, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -780, 0, 0, 0, 0, 0, 0, 0, -3520, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 7462, 0, 0, 0, 0, 0, 0, 0, -4388, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5460, 0, 0, 0, 0, 0, 0, 0, -1748, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5030, 0, 0, 0, 0, 0, 0, 0, 4800, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20608, 0, 0, 0, 0, 0, 0, 0, -9908, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6832, 0, 0, 0, 0, 0, 0, 0, -12234, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -11356, 0, 0, 0, 0, 0, 0, 0, -5472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -9768, 0, 0, 0, 0, 0, 0, 0, -15736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10792, 0, 0, 0, 0, 0, 0, 0, 16652, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20724, 0, 0, 0, 0, 0, 0, 0, 43944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -70796, 0, 0, 0, 0, 0, 0, 0, -15348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -41620, 0, 0, 0, 0, 0, 0, 0, -39322, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36144, 0, 0, 0, 0, 0, 0, 0, 60928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 56776, 0, 0, 0, 0, 0, 0, 0, 32016, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -38704, 0, 0, 0, 0, 0, 0, 0, -15268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -52554, 0, 0, 0, 0, 0, 0, 0, 10100, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 47840, 0, 0, 0, 0, 0, 0, 0, 81964, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 42436, 0, 0, 0, 0, 0, 0, 0, 46060, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90236, 0, 0, 0, 0, 0, 0, 0, -2928, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156186, 0, 0, 0, 0, 0, 0, 0, 21452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 126340, 0, 0, 0, 0, 0, 0, 0, -46320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 117368, 0, 0, 0, 0, 0, 0, 0, 91944, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -95584, 0, 0, 0, 0, 0, 0, 0, -86932, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -171964, 0, 0, 0, 0, 0, 0, 0, -115510, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 78404, 0, 0, 0, 0, 0, 0, 0, 45116, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 170312, 0, 0, 0, 0, 0, 0, 0, -17684, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -224624, 0, 0, 0, 0, 0, 0, 0, -58544, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -54892, 0, 0, 0, 0, 0, 0, 0, -72448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 333296, 0, 0, 0, 0, 0, 0, 0, -30920, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 148956, 0, 0, 0, 0, 0, 0, 0, -108912, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -74284, 0, 0, 0, 0, 0, 0, 0, -71664, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -237920, 0, 0, 0, 0, 0, 0, 0, -19320, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 267908, 0, 0, 0, 0, 0, 0, 0, 150092, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 377488, 0, 0, 0, 0, 0, 0, 0, 30834, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -276112, 0, 0, 0, 0, 0, 0, 0, 12176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -194716, 0, 0, 0, 0, 0, 0, 0, -244356, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 308368, 0, 0, 0, 0, 0, 0, 0, -35200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 319292, 0, 0, 0, 0, 0, 0, 0, 259428, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -245004, 0, 0, 0, 0, 0, 0, 0, -311428, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -156886, 0, 0, 0, 0, 0, 0, 0, -138536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 473152, 0, 0, 0, 0, 0, 0, 0, 374304, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 150268, 0, 0, 0, 0, 0, 0, 0, 289648, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -206088, 0, 0, 0, 0, 0, 0, 0, -207780, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -667912, 0, 0, 0, 0, 0, 0, 0, 11268, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 49204, 0, 0, 0, 0, 0, 0, 0, -201752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 351190, 0, 0, 0, 0, 0, 0, 0, 257704, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -451036, 0, 0, 0, 0, 0, 0, 0, -194896, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], "hecke_cutter_primes": [3, 11], "level_primes": [2, 5], "relative_dim": 54, "hecke_orbit_code": 137506063136, "weight_parity": 1, "level_is_squarefree": false, "level_is_square": false, "level_is_prime": false, "level_is_prime_power": false, "newforms": ["800.4.c.a", "800.4.c.b", "800.4.c.c", "800.4.c.d", "800.4.c.e", "800.4.c.f", "800.4.c.g", "800.4.c.h", "800.4.c.i", "800.4.c.j", "800.4.c.k", "800.4.c.l", "800.4.c.m", "800.4.c.n", "800.4.c.o"], "oldspaces": [[10, 2, 9, 10], [20, 3, 9, 8], [25, 2, 24, 6], [40, 3, 9, 6], [50, 2, 49, 5], [80, 3, 49, 4], [100, 3, 49, 4], [160, 3, 129, 2], [200, 3, 49, 3], [400, 3, 49, 2]]}