# Stored data for newspace 420.4.f, downloaded from the LMFDB on 19 June 2026.
{"Nk2": 6720, "analytic_conductor": 24.780802202411056, "char_conductor": 105, "char_degree": 1, "char_is_real": true, "char_orbit_index": 6, "char_orbit_label": "f", "char_order": 2, "char_parity": 1, "char_values": [420, 2, [211, 281, 337, 241], [2, 1, 1, 1]], "conrey_index": 209, "cusp_dim": 276, "dim": 48, "eis_dim": 24, "eis_new_dim": 0, "hecke_cutter_primes": [11], "hecke_orbit_code": 343664492964, "hecke_orbit_dims": [8, 40], "label": "420.4.f", "level": 420, "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": [2, 3, 5, 7], "level_radical": 210, "mf_dim": 300, "mf_new_dim": 48, "num_forms": 2, "prim_orbit_index": 7, "relative_dim": 48, "sturm_bound": 384, "trace_bound": 1, "trace_display": [0, 0, 0, 0], "traces": [48, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, -128, 0, 0, 0, 0, 0, -28, 0, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -840, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, -992, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 432, 0, 1220, 0, 0, 0, -1032, 0, 0, 0, 0, 0, -480, 0, 0, 0, 0, 0, 0, 0, 1600, 0, 0, 0, 0, 0, 1168, 0, 0, 0, -4200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 952, 0, 0, 0, 0, 0, 692, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1564, 0, 0, 0, 6792, 0, 0, 0, 0, 0, 7536, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3432, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1680, 0, 0, 0, 0, 0, 9216, 0, 0, 0, 0, 0, 0, 0, -6544, 0, 0, 0, 0, 0, -604, 0, 0, 0, 0, 0, 552, 0, 0, 0, -9024, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -6176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4992, 0, -5580, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -20568, 0, 944, 0, 0, 0, 19056, 0, 0, 0, 0, 0, 12912, 0, 0, 0, 0, 0, 0, 0, 12060, 0, 0, 0, 0, 0, 352, 0, 0, 0, 4752, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -33888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5024, 0, 0, 0, 0, 0, 7120, 0, 0, 0, 0, 0, 0, 0, 0, 0, -29040, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2048, 0, 0, 0, -19296, 0, 0, 0, 0, 0, -5160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 23888, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -42672, 0, 0, 0, 0, 0, 26424, 0, 0, 0, 0, 0, 0, 0, -59716, 0, 0, 0, 0, 0, 5264, 0, 0, 0, 0, 0, 15940, 0, 0, 0, 12624, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4560, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3504, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16512, 0, -24484, 0, 0, 0, 44832, 0, 0, 0, 0, 0, 56064, 0, 0, 0, 0, 0, 0, 0, 31432, 0, 0, 0, 0, 0, -32388, 0, 0, 0, 6768, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -10104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8432, 0, 0, 0, 0, 0, -12732, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12576, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 31196, 0, 0, 0, 30240, 0, 0, 0, 0, 0, 44736, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 46348, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -63888, 0, 0, 0, 0, 0, 8592, 0, 0, 0, 0, 0, 0, 0, -76736, 0, 0, 0, 0, 0, -29680, 0, 0, 0, 0, 0, -6560, 0, 0, 0, -20496, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -30356, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72048, 0, 56036, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 80568, 0, 41528, 0, 0, 0, 40992, 0, 0, 0, 0, 0, 27912, 0, 0, 0, 0, 0, 0, 0, 166896, 0, 0, 0, 0, 0, -11984, 0, 0, 0, 16416, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -107472, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 111692, 0, 0, 0, 0, 0, -65552, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18480, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 5072, 0, 0, 0, -133584, 0, 0, 0, 0, 0, 49728, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 55632, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -110112, 0, 0, 0, 0, 0, 42168, 0, 0, 0, 0, 0, 0, 0, -193804, 0, 0, 0, 0, 0, -147616, 0, 0, 0, 0, 0, -85168, 0, 0, 0, -70680, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48344, 0, 0, 0, 0, 0, 0, 0, 0, 0, -141264, 0, 14448, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 351120, 0, 62756, 0, 0, 0, 55008, 0, 0, 0, 0, 0, 45504, 0, 0, 0, 0, 0, 0, 0, 68912, 0, 0, 0, 0, 0, -108208, 0, 0, 0, 10848, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80976, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 198760, 0, 0, 0, 0, 0, -73452, 0, 0, 0, 0, 0, 0, 0, 0, 0, 133824, 0, 0, 0, 0, 0, 0, 0, 0, 0], "weight": 4, "weight_parity": 1, "newforms": ["420.4.f.a", "420.4.f.b"], "oldspaces": [[105, 7, 104, 3], [210, 4, 209, 2]]}