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Table mf_newspaces

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

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{'ALdims': [7, 10, 10, 7, 10, 7, 7, 10, 8, 8, 8, 8, 8, 8, 8, 8], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [80, 91, 89, 85, 85, 89, 91, 79, 95, 80, 82, 89, 86, 85, 83, 92], 'Nk2': 30912, 'analytic_conductor': 61.70839068204548, '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': [7728, 1, [4831, 5797, 5153, 6625, 6721], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1513, 'dim': 132, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 13, 17], 'hecke_orbit_code': 33562160, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 6, 6], 'id': 1241300, 'label': '7728.2.a', 'level': 7728, '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, 7, 23], 'level_radical': 966, 'mf_dim': 1560, 'mf_new_dim': 132, 'num_forms': 60, 'plus_dim': 60, 'prim_orbit_index': 1, 'relative_dim': 132, 'sturm_bound': 3072, 'trace_bound': 13, 'trace_display': [0, 0, -8, 0], 'traces': [132, 0, 0, 0, -8, 0, 0, 0, 132, 0, 0, 0, -8, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, -8, 0, -16, 0, 8, 0, -32, 0, -8, 0, 0, 0, 132, 0, 0, 0, -8, 0, -32, 0, 0, 0, 0, 0, -8, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 40, 0, -32, 0, 0, 0, 0, 0, 132, 0, 0, 0, -16, 0, 0, 0, 40, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -40, 0, -32, 0, 0, 0, 0, 0, -40, 0, 0, 0, 40, 0, 0, 0, -8, 0, 0, 0, 132, 0, 24, 0, -48, 0, 8, 0, 0, 0, -80, 0, 0, 0, 0, 0, 8, 0, 16, 0, 0, 0, -80, 0, 48, 0, 0, 0, -40, 0, -56, 0, 8, 0, -112, 0, 56, 0, 48, 0, 0, 0, -56, 0, 64, 0, -64, 0, 140, 0, 0, 0, -8, 0, 0, 0, 0, 0, 48, 0, 24, 0, -32, 0, 16, 0, -64, 0, 0, 0, -80, 0, -24, 0, 0, 0, -8, 0, 48, 0, 0, 0, 0, 0, 48, 0, 0, 0, -32, 0, 72, 0, 0, 0, 32, 0, 0, 0, 48, 0, -48, 0, 144, 0, 140, 0, 112, 0, -8, 0, -24, 0, -24, 0, 16, 0, 64, 0, 0, 0, -24, 0, 0, 0, -8, 0, 96, 0, 0, 0, -112, 0, 0, 0, 96, 0, 72, 0, 48, 0, -8, 0, 144, 0, 80, 0, 0, 0, -40, 0, -80, 0, 0, 0, 240, 0, 56, 0, 0, 0, 40, 0, 96, 0, 0, 0, 0, 0, 140, 0, 0, 0, -8, 0, -96, 0, 0, 0, 0, 0, 0, 0, -40, 0, 48, 0, -32, 0, 0, 0, 144, 0, -56, 0, 0, 0, -8, 0, 64, 0, -32, 0, 16, 0, 8, 0, 0, 0, -32, 0, 24, 0, -8, 0, 144, 0, 72, 0, -80, 0, -64, 0, 0, 0, 0, 0, 32, 0, -72, 0, -16, 0, -24, 0, 112, 0, 0, 0, 144, 0, 68, 0, 64, 0, -80, 0, 32, 0, 8, 0, 0, 0, -40, 0, -48, 0, 112, 0, 48, 0, 32, 0, -80, 0, 0, 0, -32, 0, -104, 0, 0, 0, -32, 0, 144, 0, -40, 0, -32, 0, -24, 0, 0, 0, -8, 0, 128, 0, 8, 0, 0, 0, 0, 0, -80, 0, 0, 0, -16, 0, -136, 0, 0, 0, 184, 0, -24, 0, -32, 0, 32, 0, -24, 0, -64, 0, 0, 0, 64, 0, 132, 0, 48, 0, 16, 0, -32, 0, 8, 0, -272, 0, -32, 0, 96, 0, -24, 0, 0, 0, -104, 0, -72, 0, 0, 0, 128, 0, -32, 0, 0, 0, -32, 0, 128, 0, -8, 0, -272, 0, 112, 0, 12, 0, -112, 0, -32, 0, 0, 0, -64, 0, -144, 0, -32, 0, 0, 0, -160, 0, -32, 0, 128, 0, 16, 0, 0, 0, -8, 0, 0, 0, 0, 0, 80, 0, 224, 0, -48, 0, 8, 0, -240, 0, 0, 0, 0, 0, 132, 0, 0, 0, 16, 0, 144, 0, -32, 0, 0, 0, -136, 0, 32, 0, 80, 0, 160, 0, -8, 0, -80, 0, 0, 0, -144, 0, 120, 0, -144, 0, 0, 0, 224, 0, -240, 0, 0, 0, -56, 0, 144, 0, -64, 0, 0, 0, -24, 0, 0, 0, -32, 0, 56, 0, 48, 0, -96, 0, 64, 0, 96, 0, -56, 0, -64, 0, 32, 0, 112, 0, 8, 0, 0, 0, 120, 0, -96, 0, 0, 0, 48, 0, 120, 0, -32, 0, -24, 0, -80, 0, 0, 0, 48, 0, 244, 0, -8, 0, 272, 0, -64, 0, 128, 0, -112, 0, -8, 0, 0, 0, -88, 0, 240, 0, -96, 0, 64, 0, 64, 0, 0, 0, 88, 0, 176, 0, 40, 0, 80, 0, -104, 0, -48, 0, -64, 0, 48, 0, -64, 0, -64, 0, 72, 0, -32, 0, 56, 0, -48, 0, 0, 0, -240, 0, 48, 0, 0, 0, 16, 0, 240, 0, 0, 0, 144, 0, 80, 0, 144, 0, -200, 0, 32, 0, 128, 0, 0, 0, -232, 0, 0, 0, -32, 0, -272, 0, -32, 0, 80, 0, -32, 0, -64, 0, 72, 0, -48, 0, 132, 0, 432, 0, 24, 0, 0, 0, -96, 0, 32, 0, -64, 0, 224, 0, 112, 0, 0, 0, 0, 0, 304, 0, -128, 0, 384, 0, -168, 0, 0, 0, -24, 0, 48, 0, -16, 0, 192, 0, -152, 0, 168, 0, 56, 0, 240, 0, 0, 0, 16, 0, -160, 0, 0, 0, 16, 0, 96, 0, -96, 0, 0, 0, 16, 0, 144, 0, -8, 0, 176, 0, 40, 0, 400, 0, 0, 0, 64, 0, -120, 0, 64, 0, -32, 0, 176, 0, 32, 0, 0, 0, -104, 0, -120, 0, -96, 0, -112, 0, 88, 0, 96, 0, 8, 0, 208, 0, 0, 0, 16, 0, -20, 0, -256, 0, -216, 0, 0, 0, 96, 0, 0, 0, -136, 0, 0, 0, -56, 0, 144, 0, -32, 0, 80, 0, -80, 0, 0, 0, 96, 0, 176, 0, 8, 0, -144, 0, -40, 0, 16, 0, 40, 0, 368, 0, 0, 0, 128, 0, -32, 0, 0, 0, 128, 0, 192, 0, 0, 0, 128, 0, -176, 0, -32, 0, -16, 0, -64, 0, -40, 0, 160, 0, 0, 0, 144, 0, 0, 0, -64, 0, -32, 0, -48, 0, -120, 0, -32, 0, -56, 0, 0, 0, 64, 0, 80, 0, 40, 0, 0, 0, -104, 0, 0, 0, 0, 0, 224, 0, 112, 0, -16, 0, -24, 0, 96, 0, 0, 0, 96, 0, 36, 0, 0, 0, 48, 0, -128, 0, -96, 0, -96, 0, 64, 0, -144, 0, -88, 0, -144, 0, -40, 0, -16, 0, 80, 0, 0, 0, 0, 0, -264, 0, -96, 0, 112, 0, -72, 0, 0, 0], 'weight': 2, 'weight_parity': 1}