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Table mf_newspaces

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

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{'ALdims': [11, 9, 10, 9, 10, 9, 11, 9, 13, 6, 7, 12, 7, 12, 13, 6], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7, 7], 'ALdims_old': [67, 87, 81, 76, 81, 75, 80, 76, 78, 79, 77, 77, 84, 73, 71, 85], 'Nk2': 28392, 'analytic_conductor': 56.67781535470482, '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': [7098, 1, [4733, 5071, 6931], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1401, 'dim': 154, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33561530, '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, 2, 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, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6], 'id': 1180604, 'label': '7098.2.a', 'level': 7098, '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, 13], 'level_radical': 546, 'mf_dim': 1512, 'mf_new_dim': 154, 'num_forms': 73, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 154, 'sturm_bound': 2912, 'trace_bound': 17, 'trace_display': [-2, 0, -4, 0], 'traces': [154, -2, 0, 154, -4, 0, 0, -2, 154, -4, -8, 0, 0, 0, -8, 154, -4, -2, 0, -4, 2, 0, -16, 0, 134, 0, 0, 0, -12, 0, -16, -2, 0, -20, -8, 154, 20, 0, 0, -4, -4, -2, -8, -8, -4, 8, 16, 0, 154, 2, 0, 0, -28, 0, -16, 0, 24, -4, -32, -8, 12, 32, 0, 154, 0, 0, 0, -4, 0, 8, 0, -2, 28, 4, 32, 0, -16, 0, -16, -4, 154, 12, 16, 2, 40, 24, 0, 0, 12, -4, 0, -16, 32, 16, 16, 0, 44, -2, -8, 134, -4, 16, 16, 0, -4, 12, 24, 0, 4, 80, 32, 0, 28, -24, 32, -12, 0, 32, 16, 0, 138, -4, -8, -16, 24, 0, 64, -2, 32, 0, 16, 0, 0, 24, -8, -20, -20, 16, -16, -8, 0, 24, 0, 154, 8, -52, 0, 20, -76, 0, 16, 0, -4, 0, -16, 0, -36, 32, -32, -4, -16, -2, -48, -4, 16, 0, 0, -2, 0, 304, 0, -8, 260, -16, -32, -8, 16, 260, -88, -4, -4, 0, 24, 8, 256, -16, 16, 16, 2, 48, -64, 0, 4, 292, 0, 154, 20, 0, -64, 2, 16, -20, 0, 0, 288, 16, -16, 0, -144, 4, -88, -28, -32, -40, 16, 0, -8, 316, 32, -16, 0, -16, -16, 0, 134, 12, 48, 24, -68, 32, 8, -4, 164, 0, -96, -32, 16, -8, -80, -8, -4, -10, 0, 12, -4, -8, 0, 32, -48, 288, -48, 0, 16, 16, -16, 154, 60, 16, -32, 0, -12, 48, 0, 0, 8, -8, -24, 0, 164, 0, 16, -4, 0, -52, -24, 0, -20, -16, -16, 8, -68, -32, -80, 0, 16, 0, 0, -2, 46, 224, 16, 28, -68, 0, -16, 4, 0, -44, 0, 32, 0, 0, -56, 0, -56, -20, 16, -16, 24, -32, -144, 0, 244, 12, -8, -16, 52, -32, -16, -4, -32, -16, -64, 154, 0, 8, 0, 12, 16, 0, 0, 16, 20, 0, -32, 2, -60, 0, -80, 40, -112, 0, 0, 24, -64, -36, -104, 0, -116, 32, 0, 0, -36, -8, -160, 12, -12, -40, -16, -4, 58, -36, -32, 0, 192, 48, -16, -16, -4, -24, -16, 32, -84, -32, -48, 16, 0, -2, -80, 16, 0, -8, 48, 0, 16, -68, -8, 44, -60, 0, -96, -2, -72, 284, 160, -8, 44, -80, 16, 134, 28, 0, 0, -4, -4, 0, -48, 16, -68, -88, -64, 16, -40, 8, -48, 0, -32, -64, -96, -4, 52, 24, 16, 12, 332, -16, 48, 24, 0, 0, 160, 0, -68, 0, 16, 4, 96, -48, 80, 80, 154, 0, -56, 32, -24, 32, 64, 0, -36, 2, -48, 28, 0, -144, 0, -24, 68, 212, 0, 32, -4, 8, -48, -12, -80, 44, -32, 0, -32, 0, -24, 32, -32, 0, 64, 16, -28, -88, 48, 0, 0, 44, -24, 138, 56, 0, 0, -4, 32, -4, -72, -8, 304, 0, -16, -16, 32, -56, -96, 24, 32, 80, 16, 0, 104, 16, 0, 64, -68, 0, 0, -2, 24, -52, 80, 32, -96, -48, -104, 0, 60, -4, -224, 16, 30, 120, 192, 0, 66, 256, -32, 0, 0, -24, 176, 24, 0, -84, -8, -8, 36, 32, -40, -20, 56, 0, 56, -20, 12, -64, 32, 16, -16, -12, 0, -16, 180, 32, 0, -8, -16, -36, -128, 0, 24, -64, 0, 24, 228, -16, -104, 0, -32, 24, -48, 154, 44, -70, 0, 8, -8, 0, 112, -52, 0, -116, 80, 0, -144, 80, -32, 20, -36, 0, 16, -76, 24, 0, -256, 0, -4, -16, 0, 16, 108, -24, -96, 0, 20, 352, 0, -4, -92, -96, 0, 0, 28, -24, -64, -16, 0, 144, 32, 0, 82, -36, -16, -36, -24, 8, -112, 32, -32, -12, -96, -32, 0, -80, 0, -4, -116, 16, -32, -16, 16, -112, -80, -2, -176, 0, 16, -48, 156, 32, 96, -4, 28, 16, -120, 16, -84, -24, 0, 0, 16, 4, -96, 0, 16, -16, -16, -2, -92, -100, 32, 0, 276, -64, -48, 304, 0, 0, -72, 0, 112, 0, 24, -8, 0, 48, -80, 260, -16, 24, -64, -16, 40, 132, -144, -32, 284, 0, -304, -8, -48, -20, -56, 16, -76, 64, -16, 260, 32, -20, 0, -88, 112, -40, -256, -4, 40, 38, -64, -4, 68, 0, -176, 0, 154, 88, -272, 24, -100, -80, -8, 8, -64, 12, -112, 256, 0, -16, 0, -16, 320, -60, 16, 16, -64, 0, -144, 16, -120, 0, -336, 2, 180, -120, -160, 48, -100, 0, -48, -64, 40, 32, 0, 0, -68, 64, -48, 4, -100, 24, -176, 292, 12, -100, -128, 0, -80, 64, 0, 154, -152, 24, 48, 20, -64, -80, 32, 0, 0, 324, -96, -64, 100, 16, -96, 2, 12, -4, -192, 16, -80, 0, -40, -20, -100, -4, 48, 0, 16, 32, -48, 0, -96, -132, 0, 288, -188, 0, -48, 16, 96, 16, -72, -16, -276, 48, -96, 0, -4, -40, -208, -144, 32, 0, -128, 4, -2, -108, 16, -88, 0, 16, -64, -28, -32, -44, 64, -32, 92, -8, 16, -40, -292, 0, -192, 16, -36, -56, -16, 0, 56, -20, -96, -8, 32, -16, 0, 316, 44, -80, 48, 32, -124, 0, 56, -16, -164, -2, -328, 0, -176, -8, -32, -16, 48, 72, -8, -16, -160, -48, -240, 0, 0, 196, -288, 134, 352, -80, -24, 12, -88, -32, -152, 48, -4, 0, -144, 24, -96, -84, -64, -68, 56, 16, -64, 32, -8, 44, 0, 8, 28, 64, 16, -4, -148, 0, 0, 164, 0, -16, -16, 0, -148, 32, -128, -96, 204, 48, -112, -32, -4, -112, 88, 16, 0, -96, -48, -8, 132, 12, 32, -80, -64, -32, -32, -8, 18, 0, 24, -4, 112, 8, 32, -10, -112, -168, -160, 0, 40, 48, 0, 12, 188, 16, -224, -4, 4, -40, 64, -8, -184, 200, -48, 0, 32, 80, -192, 32, -32, 48, -16, -48, -100, -40, 32, 288], 'weight': 2, 'weight_parity': 1}