# Stored data for newspace 400.3.p, downloaded from the LMFDB on 03 December 2023.
{"label": "400.3.p", "level": 400, "weight": 3, "char_conductor": 5, "char_degree": 2, "char_parity": -1, "sturm_bound": 180, "dim": 34, "eis_dim": 72, "eis_new_dim": 4, "cusp_dim": 204, "mf_dim": 276, "char_order": 4, "char_orbit_label": "p", "char_is_real": false, "trace_bound": 11, "num_forms": 12, "Nk2": 3600, "analytic_conductor": 10.899210574411876, "level_radical": 10, "mf_new_dim": 38, "char_values": [400, 4, [351, 101, 177], [4, 4, 3]], "hecke_orbit_dims": [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4], "trace_display": [0, -2, 0, -2], "traces": [34, 0, -2, 0, 0, 0, -2, 0, 0, 0, 4, 0, 14, 0, 0, 0, -2, 0, 0, 0, -36, 0, 46, 0, 0, 0, 112, 0, 0, 0, 132, 0, 68, 0, 0, 0, 22, 0, 0, 0, -36, 0, -66, 0, 0, 0, -242, 0, 0, 0, -572, 0, -26, 0, 0, 0, 16, 0, 0, 0, 60, 0, 222, 0, 0, 0, 334, 0, 0, 0, 836, 0, -170, 0, 0, 0, 100, 0, 0, 0, -134, 0, -274, 0, 0, 0, -496, 0, 0, 0, -188, 0, 116, 0, 0, 0, 22, 0, 0, 0, 324, 0, 398, 0, 0, 0, 526, 0, 0, 0, 228, 0, 286, 0, 0, 0, -310, 0, 0, 0, 374, 0, -756, 0, 0, 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880, 0, 0, 0, -660, 0, 0, 0, -5372, 0, 3212, 0, 0, 0, 270, 0, 0, 0, 2372, 0, 1604, 0, 0, 0, -6204, 0, 0, 0, -2932, 0, -164, 0, 0, 0, -1678, 0, 0, 0, -13152, 0, -3756, 0, 0, 0, -994, 0, 0, 0, -1484, 0, 3500, 0, 0, 0, 5454, 0, 0, 0, -19420, 0, -738, 0, 0, 0, -1440, 0, 0, 0, -6794, 0, -4978, 0, 0, 0, -1810, 0, 0, 0, -16284, 0, -1456, 0, 0, 0, 2006, 0, 0, 0, 7608, 0, -2722, 0, 0, 0, 940, 0, 0, 0, 3908, 0, 3012, 0, 0, 0, 4894, 0, 0, 0], "hecke_cutter_primes": [3, 7], "level_primes": [2, 5], "relative_dim": 17, "hecke_orbit_code": 1030842483088, "weight_parity": -1, "level_is_squarefree": false, "level_is_square": true, "level_is_prime": false, "level_is_prime_power": false, "char_orbit_index": 16, "prim_orbit_index": 3, "conrey_index": 193, "newforms": ["400.3.p.a", "400.3.p.b", "400.3.p.c", "400.3.p.d", "400.3.p.e", "400.3.p.f", "400.3.p.g", "400.3.p.h", "400.3.p.i", "400.3.p.j", "400.3.p.k", "400.3.p.l"], "oldspaces": [[10, 3, 3, 8], [20, 6, 13, 6], [25, 3, 7, 5], [40, 12, 17, 4], [50, 3, 7, 4], [80, 16, 17, 2], [100, 6, 57, 3], [200, 12, 57, 2]]}