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Table mf_newspaces

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

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{'ALdims': [7, 7, 7, 7, 8, 5, 7, 9], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [45, 53, 53, 44, 46, 52, 50, 45], 'Nk2': 11200, 'analytic_conductor': 22.358112565958507, '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': [2800, 1, [351, 2101, 2577, 801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 445, 'dim': 57, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11, 13], 'hecke_orbit_code': 33557232, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3], 'id': 635354, 'label': '2800.2.a', 'level': 2800, '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, 5, 7], 'level_radical': 70, 'mf_dim': 516, 'mf_new_dim': 57, 'num_forms': 44, 'plus_dim': 26, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 960, 'trace_bound': 13, 'trace_display': [0, 0, 0, -1], 'traces': [57, 0, 0, 0, 0, 0, -1, 0, 53, 0, -8, 0, 2, 0, 0, 0, -6, 0, 8, 0, 0, 0, -8, 0, 0, 0, -24, 0, 6, 0, 8, 0, 0, 0, 0, 0, 14, 0, -16, 0, 2, 0, 20, 0, 0, 0, 0, 0, 57, 0, -16, 0, 6, 0, 0, 0, 8, 0, 0, 0, -6, 0, -5, 0, 0, 0, -28, 0, -16, 0, 12, 0, -22, 0, 0, 0, 4, 0, 20, 0, 57, 0, 32, 0, 0, 0, -8, 0, -22, 0, -6, 0, 32, 0, 0, 0, -22, 0, -8, 0, -6, 0, -8, 0, 0, 0, 44, 0, -34, 0, 56, 0, -6, 0, 0, 0, 58, 0, 10, 0, 69, 0, 56, 0, 0, 0, -8, 0, 32, 0, 24, 0, 8, 0, 0, 0, 26, 0, 72, 0, 32, 0, 48, 0, 0, 0, 0, 0, -34, 0, 20, 0, 2, 0, 0, 0, -30, 0, 16, 0, 8, 0, -60, 0, 0, 0, 40, 0, 47, 0, 48, 0, 18, 0, 0, 0, -8, 0, -36, 0, -78, 0, -40, 0, 0, 0, 32, 0, 0, 0, -80, 0, -6, 0, 0, 0, 22, 0, -24, 0, -56, 0, 10, 0, 0, 0, 72, 0, -24, 0, -60, 0, 0, 0, 0, 0, -8, 0, -72, 0, -52, 0, -40, 0, 0, 0, 8, 0, -38, 0, 0, 0, -6, 0, 0, 0, -48, 0, 48, 0, -38, 0, -72, 0, 0, 0, -80, 0, -80, 0, 16, 0, 16, 0, 0, 0, -62, 0, -22, 0, 62, 0, -32, 0, 0, 0, 48, 0, -6, 0, -48, 0, -8, 0, 0, 0, -26, 0, 88, 0, -62, 0, -80, 0, 0, 0, -26, 0, 43, 0, 200, 0, -78, 0, 0, 0, 32, 0, -80, 0, 20, 0, 96, 0, 0, 0, -136, 0, -48, 0, 152, 0, -30, 0, 0, 0, -34, 0, -116, 0, -56, 0, -56, 0, 0, 0, -56, 0, 8, 0, 56, 0, -42, 0, 0, 0, -38, 0, 256, 0, 32, 0, -1, 0, 0, 0, -4, 0, 18, 0, -24, 0, 66, 0, 0, 0, -16, 0, 92, 0, 5, 0, 88, 0, 0, 0, 24, 0, 34, 0, -50, 0, 38, 0, 0, 0, 60, 0, -200, 0, -80, 0, 104, 0, 0, 0, 108, 0, -90, 0, -80, 0, 56, 0, 0, 0, -62, 0, 40, 0, 18, 0, 24, 0, 0, 0, -120, 0, 26, 0, -152, 0, 0, 0, 0, 0, 88, 0, 328, 0, 22, 0, 72, 0, 0, 0, 30, 0, -32, 0, 16, 0, -22, 0, 0, 0, -48, 0, -120, 0, 53, 0, -52, 0, 0, 0, 240, 0, 106, 0, 72, 0, -96, 0, 0, 0, 18, 0, 96, 0, -86, 0, -48, 0, 0, 0, 104, 0, 20, 0, 120, 0, 48, 0, 0, 0, -34, 0, 8, 0, 20, 0, -16, 0, 0, 0, 120, 0, -40, 0, 24, 0, 44, 0, 0, 0, 24, 0, -132, 0, -160, 0, -48, 0, 0, 0, -56, 0, 18, 0, -22, 0, 80, 0, 0, 0, 16, 0, -80, 0, 138, 0, -24, 0, 0, 0, -152, 0, 33, 0, 144, 0, 36, 0, 0, 0, 144, 0, -8, 0, -122, 0, -32, 0, 0, 0, 52, 0, -94, 0, -56, 0, 32, 0, 0, 0, 14, 0, -216, 0, 24, 0, -8, 0, 0, 0, -65, 0, 90, 0, -208, 0, -112, 0, 0, 0, -30, 0, -304, 0, -8, 0, 48, 0, 0, 0, -160, 0, -16, 0, -264, 0, 98, 0, 0, 0, -80, 0, 188, 0, -102, 0, 28, 0, 0, 0, -24, 0, -32, 0, -232, 0, 30, 0, 0, 0, 18, 0, 80, 0, 16, 0, -10, 0, 0, 0, -216, 0, -60, 0, -148, 0, -48, 0, 0, 0, 2, 0, -84, 0, -46, 0, 160, 0, 0, 0, 0, 0, -80, 0, 16, 0, -26, 0, 0, 0, 50, 0, -212, 0, -14, 0, -88, 0, 0, 0, 96, 0, -64, 0, 96, 0, -78, 0, 0, 0, 42, 0, 42, 0, 56, 0, 164, 0, 0, 0, -144, 0, 68, 0, -40, 0, 52, 0, 0, 0, -108, 0, 168, 0, 78, 0, 0, 0, 0, 0, 46, 0, 54, 0, 76, 0, -32, 0, 0, 0, 32, 0, -96, 0, 16, 0, -96, 0, 0, 0, 256, 0, -19, 0, -24, 0, 106, 0, 0, 0, 96, 0, 104, 0, 0, 0, 64, 0, 0, 0, 64, 0, 36, 0, -80, 0, -104, 0, 0, 0, 46, 0, 104, 0, 138, 0, -22, 0, 0, 0, 112, 0, -22, 0, -304, 0, -190, 0, 0, 0, -32, 0, -104, 0, 184, 0, -232, 0, 0, 0, -56, 0, -112, 0, 6, 0, -52, 0, 0, 0, 34, 0, 104, 0, -6, 0, -136, 0, 0, 0, -184, 0, 170, 0, -24, 0, -144, 0, 0, 0, -96, 0, -86, 0, 78, 0, -80, 0, 0, 0, 196, 0, -30, 0, -160, 0, -6, 0, 0, 0, -48, 0, -216, 0, 31, 0, 56, 0, 0, 0, -69, 0, 16, 0, 60, 0, 170, 0, 0, 0, 18, 0, -216, 0, 16, 0, 72, 0, 0, 0, -408, 0, 120, 0, 88, 0, -78, 0, 0, 0, 118, 0, 0, 0, 58, 0, -52, 0, 0, 0, -192, 0, 32, 0, 248, 0, -64, 0, 0, 0, 16, 0, -160, 0, -124, 0, 40, 0, 0, 0, -124, 0, -206, 0, 140, 0, 32, 0, 0, 0, -56, 0, 156, 0, -32, 0, 128, 0, 0, 0, 128, 0, -38, 0, 8, 0, -112, 0, 0, 0, -118, 0, 72, 0, -126, 0, -64, 0, 0, 0, 156, 0, -20, 0, 184, 0, 42, 0, 0, 0, -80, 0, 34, 0, -23, 0, 36, 0, 0, 0, -32, 0, 88, 0, 112, 0, -56, 0, 0, 0, 50, 0, -16, 0, -362, 0, -136, 0, 0, 0, 112, 0, 8, 0, -324, 0, -96, 0, 0, 0, 98, 0, 176, 0], 'weight': 2, 'weight_parity': 1}