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Table mf_newspaces

Newspaces $S_k^{\rm new}(N,\chi)$ of modular forms

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{'ALdims': [10, 9, 11, 9, 13, 6, 7, 12], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [13, 14, 14, 14, 14, 14, 14, 14], 'ALdims_old': [68, 82, 73, 75, 78, 71, 77, 72], 'Nk2': 16224, 'analytic_conductor': 32.387323059831324, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4056, 1, [1015, 2029, 2705, 3889], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 673, 'dim': 77, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33558488, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6], 'id': 889662, 'label': '4056.2.a', 'level': 4056, '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, 13], 'level_radical': 78, 'mf_dim': 784, 'mf_new_dim': 77, 'num_forms': 35, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 77, 'sturm_bound': 1456, 'trace_bound': 11, 'trace_display': [0, 1, 2, 4], 'traces': [77, 0, 1, 0, 2, 0, 4, 0, 77, 0, -4, 0, 0, 0, 2, 0, -2, 0, -8, 0, 4, 0, -16, 0, 75, 0, 1, 0, -6, 0, -4, 0, -4, 0, -8, 0, 14, 0, 0, 0, 14, 0, 12, 0, 2, 0, 16, 0, 81, 0, 2, 0, 10, 0, 8, 0, 8, 0, 20, 0, 10, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -8, 0, 28, 0, 77, 0, -20, 0, -28, 0, 10, 0, 38, 0, 0, 0, -4, 0, 24, 0, 10, 0, -4, 0, 34, 0, -28, 0, -24, 0, 44, 0, 14, 0, 14, 0, 22, 0, 0, 0, 0, 0, -56, 0, 93, 0, -18, 0, -12, 0, 12, 0, 12, 0, -44, 0, -24, 0, 2, 0, -18, 0, 12, 0, -16, 0, 0, 0, -4, 0, 9, 0, 10, 0, 12, 0, -2, 0, 88, 0, -38, 0, -6, 0, 0, 0, 0, 0, -24, 0, -56, 0, 0, 0, -8, 0, 166, 0, 28, 0, 20, 0, -44, 0, 18, 0, 30, 0, 88, 0, -40, 0, 4, 0, -16, 0, -30, 0, 0, 0, 2, 0, 20, 0, 16, 0, 24, 0, 168, 0, -16, 0, 40, 0, 36, 0, 0, 0, -8, 0, -8, 0, 18, 0, 0, 0, -52, 0, 75, 0, 52, 0, 6, 0, 24, 0, 122, 0, 8, 0, 0, 0, 72, 0, 10, 0, 1, 0, 82, 0, 0, 0, 12, 0, -12, 0, 32, 0, -28, 0, 6, 0, 16, 0, -6, 0, 8, 0, 28, 0, -26, 0, 182, 0, 28, 0, 0, 0, 68, 0, 58, 0, -4, 0, -50, 0, 4, 0, 48, 0, -24, 0, 115, 0, -6, 0, 26, 0, 56, 0, -4, 0, 0, 0, -16, 0, -14, 0, -68, 0, -40, 0, -32, 0, -24, 0, 158, 0, -8, 0, -54, 0, 8, 0, -16, 0, -16, 0, 0, 0, -18, 0, 16, 0, -56, 0, 14, 0, -8, 0, 18, 0, 50, 0, -32, 0, 8, 0, 32, 0, 20, 0, -42, 0, 0, 0, -10, 0, 40, 0, 8, 0, 88, 0, 9, 0, -27, 0, 248, 0, -36, 0, 14, 0, -8, 0, -46, 0, 84, 0, 0, 0, 48, 0, -8, 0, -16, 0, 32, 0, 12, 0, -70, 0, 40, 0, 24, 0, 0, 0, -10, 0, 48, 0, 78, 0, 0, 0, 2, 0, -24, 0, 34, 0, -50, 0, 48, 0, -112, 0, -52, 0, 28, 0, 6, 0, 16, 0, 158, 0, 24, 0, 0, 0, -48, 0, -22, 0, -68, 0, -128, 0, 12, 0, 81, 0, -124, 0, 36, 0, -54, 0, 14, 0, 0, 0, -52, 0, 0, 0, 66, 0, 2, 0, -102, 0, 44, 0, -24, 0, 140, 0, -24, 0, -34, 0, -48, 0, -152, 0, 10, 0, -104, 0, 0, 0, 32, 0, 12, 0, 20, 0, 48, 0, -52, 0, 192, 0, 8, 0, 72, 0, -16, 0, 40, 0, -80, 0, -84, 0, 0, 0, -38, 0, -440, 0, 8, 0, 112, 0, -104, 0, -14, 0, 94, 0, -324, 0, 60, 0, -8, 0, 53, 0, 20, 0, 0, 0, 8, 0, 24, 0, 92, 0, 78, 0, -306, 0, -44, 0, -20, 0, 10, 0, 176, 0, 64, 0, -28, 0, 34, 0, 0, 0, -8, 0, -52, 0, 116, 0, 4, 0, 178, 0, -324, 0, -72, 0, -48, 0, -30, 0, -46, 0, -64, 0, 72, 0, 0, 0, 68, 0, 0, 0, 2, 0, -82, 0, 112, 0, 56, 0, -32, 0, 58, 0, 0, 0, 10, 0, -260, 0, -72, 0, 0, 0, -50, 0, -84, 0, -50, 0, -80, 0, 0, 0, 24, 0, -39, 0, -40, 0, -68, 0, -4, 0, -44, 0, -48, 0, 0, 0, 0, 0, -2, 0, -80, 0, 24, 0, 16, 0, -16, 0, -232, 0, 182, 0, -40, 0, 2, 0, 52, 0, -114, 0, 0, 0, 0, 0, 80, 0, 44, 0, 72, 0, 10, 0, -1, 0, -362, 0, -64, 0, 20, 0, 12, 0, -408, 0, 102, 0, 0, 0, -32, 0, -8, 0, -24, 0, -4, 0, 66, 0, -570, 0, -240, 0, -16, 0, -72, 0, 118, 0, 28, 0, 64, 0, 0, 0, 8, 0, 40, 0, -32, 0, -70, 0, -310, 0, -20, 0, 77, 0, -8, 0, 14, 0, 18, 0, 48, 0, 40, 0, 0, 0, 0, 0, 224, 0, -20, 0, -48, 0, 108, 0, 56, 0, -232, 0, -450, 0, -64, 0, 30, 0, -264, 0, -28, 0, 0, 0, -14, 0, 42, 0, 42, 0, -92, 0, -96, 0, 104, 0, -8, 0, 10, 0, -36, 0, -8, 0, -32, 0, -184, 0, 0, 0, -4, 0, -530, 0, 0, 0, 38, 0, -136, 0, -8, 0, 42, 0, -66, 0, -16, 0, -36, 0, -184, 0, -32, 0, 0, 0, 42, 0, -68, 0, 36, 0, 44, 0, 18, 0, -354, 0, 142, 0, -8, 0, -4, 0, 16, 0, 3, 0, 46, 0, 0, 0, -12, 0, -36, 0, 160, 0, -114, 0, 24, 0, -98, 0, 116, 0, 16, 0, 176, 0, -132, 0, -29, 0, 128, 0, 0, 0, 10, 0, -160, 0, 6, 0, -38, 0, -2, 0, -92, 0, -96, 0, -8, 0, 32, 0, -4, 0, 152, 0, 120, 0, 0, 0, 40, 0, -464, 0, -16, 0, -180, 0, -300, 0, 34, 0, -64, 0, -24, 0, 28, 0, -16, 0, -36, 0, -88, 0, 0, 0, 18, 0, -28, 0, -90, 0, -72, 0, -64, 0, 48, 0, -22, 0, 10, 0, -94, 0, 0, 0, -24, 0, -132, 0, 0, 0, -22, 0, 162, 0, -16, 0, 40, 0, -8, 0, 41, 0, 44, 0, -616, 0, -92, 0, 80, 0, 36, 0, -112, 0, 0, 0, -50, 0, -16, 0, 14, 0, 64, 0, -4, 0, -104, 0, 72, 0, -332, 0, 24, 0, 32, 0, -166, 0, 14, 0], 'weight': 2, 'weight_parity': 1}