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mf_newforms • Show schema
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{'Nk2': 16900, 'analytic_conductor': 33.736794853990965, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [13, 1]], 'atkin_lehner_string': '++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4225, 1, [677, 3551], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-3, 0, 1]], [3, [-2, 2, 1]], [7, [-2, 1]], [11, [6, -6, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835709569, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4225.2.a.w', 'level': 4225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'minimal_twist': '65.2.a.c', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+(-1+\\beta )q^{3}+q^{4}+(3-\\beta )q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4225.2.a', 'trace_display': [0, -2, 0, 4], 'trace_hash': 1837731387665765030, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.878', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [-1, 1], [1, 0], [0, 0], [3, -1], [2, 0], [0, -1], [1, -2], [0, 0], [3, -1], [-1, 1], [0, 0], [0, 2], [0, 0], [-5, 0], [0, -2], [-6, 1], [1, -3], [0, 0], [-2, 2], [-3, 3], [-3, -1], [-3, 1], [0, 0], [0, 0], [-4, 0], [2, 0], [-6, -2], [0, 0], [-5, 3], [0, -3], [-6, 4], [-6, 0], [0, 0], [1, -2], [-4, 0], [-9, 1], [0, 0], [0, 0], [0, 2], [6, -2], [-5, -3], [3, -1], [0, 0], [-3, -3], [6, 0], [5, -5], [-3, 0], [0, 0], [-6, 2], [0, 0], [0, 6], [0, -4], [0, 0], [0, -2], [-10, 4], [-6, -6], [3, 7], [0, 0], [2, 6], [9, -5], [2, -4], [1, 0], [0, 0], [12, -6], [-4, -6], [0, -2], [0, -2], [0, 0], [-3, 1], [6, -1], [-4, 0], [0, -4], [0, 0], [1, -3], [6, -2], [0, 0], [2, 6], [0, 0], [1, 2], [6, 0], [-6, 0], [-2, 2], [0, 0], [-9, -5], [0, -4], [3, -3], [6, -4], [0, 0], [0, 0], [-3, -1], [14, -8], [0, 6], [0, 0], [-9, 3], [2, 0], [0, -3], [9, -7], [0, 0]], 'ap': [[0, 1], [-1, 1], [0, 0], [2, 0], [3, -1], [0, 0], [0, -2], [1, -3], [-3, -1], [-6, -2], [-5, 3], [-4, 0], [0, 2], 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[-22, 30], [21, 1], [-63, -3], [-40, 12], [-18, 40], [-46, -18], [-4, 0], [18, 14], [-4, -30], [36, -24], [-10, -6], [67, -9], [-34, 12], [-51, -13], [-30, -28], [46, -24], [-30, 12], [-34, -6], [0, -22], [-17, 15], [72, 6], [-14, 0], [-30, -32], [-8, -6], [1, 15], [2, -36], [36, -2], [-30, 24], [-70, 6], [-30, -28], [12, 12], [50, -24], [-34, -12], [-21, -1], [30, 16], [49, -3], [14, -24], [18, 32], [-29, 21], [14, 0], [12, 6], [-57, -5], [21, 1], [-30, -24], [-18, 0], [68, -12], [54, 10], [-21, 17], [15, -1], [73, 15], [-20, -6], [6, 20], [8, 30], [62, 12], [-12, 44], [32, -12], [72, -6], [54, -18], [-28, 24], [28, -18], [-51, -15], [-6, -10], [-34, 36], [6, 14], [-20, 30], [-48, -18], [0, 20], [2, 24], [-24, -12], [37, 21], [-48, -26], [43, 27], [28, -18], [2, -24], [21, -5], [-56, 6], [12, -32], [-9, -45], [19, 9], [15, -29], [-62, 0], [-11, -39], [18, -6], [32, 12], [-54, 8], [58, -24], [84, 2], [38, -24], [-60, -12], [30, 16], [20, -36], [-52, 12], [-54, -8], [-40, 18], [-33, -13], [34, -12], [24, -10], [-39, -5], [26, 6], [10, -24], [-42, 0], [9, -11], [-35, -21], [-24, -8], [39, 1], [78, -14], [14, 24], [12, 10], [6, -6], [-34, 12], [-24, 8], [-33, 33], [12, 30], [13, -27], [-78, -10]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 99079191835709569, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4225.2.a.w', 'level': 4225, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [54, 57, 62, 56], 'ALdims_eis_new': [5, 6, 10, 12], 'ALdims_eis_old': [15, 15, 11, 9], 'ALdims_old': [45, 50, 43, 46], 'Nk2': 16900, 'analytic_conductor': 33.736794853990965, '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': [4225, 1, [677, 3551], [1, 1]], 'conrey_index': 1, 'cusp_dim': 413, 'dim': 229, 'eis_dim': 83, 'eis_new_dim': 33, 'hecke_cutter_primes': [2, 3, 7, 11], 'hecke_orbit_code': 33558657, 'hecke_orbit_dims': [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, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5, 5, 6, 6, 9, 9, 10, 10, 12, 12, 12, 12, 18, 18], 'label': '4225.2.a', 'level': 4225, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [5, 13], 'level_radical': 65, 'mf_dim': 496, 'mf_new_dim': 262, 'num_forms': 54, 'plus_dim': 110, 'prim_orbit_index': 1, 'relative_dim': 229, 'sturm_bound': 910, 'trace_bound': 7, 'trace_display': [-3, 0, 0, 4], 'traces': [229, -3, 0, 213, 0, 8, 4, -3, 193, 0, 0, -8, 0, 10, 0, 173, 0, -11, 4, 0, 20, -6, -2, 28, 0, 0, 18, 28, 6, 0, 24, 1, -20, 26, 0, 171, -10, 36, 0, 0, -10, 0, 2, -32, 0, 4, 12, 30, 147, 0, -58, 0, 6, 4, 0, 12, -4, 2, -20, 0, 24, -6, -4, 119, 0, 26, -16, 70, 0, 0, -12, 21, -14, 32, 0, 60, -4, 0, 22, 0, 53, 28, -40, 64, 0, -16, 44, -34, -2, 0, 0, 40, 60, -30, 0, 36, -2, -51, -80, 0, 46, 16, 42, 0, 0, -78, 0, 36, 46, 0, 28, -4, -18, 8, 0, -40, 0, -36, 28, 0, 17, 50, 16, -20, 0, 34, -52, 13, -90, 0, -70, -28, -18, -160, 0, 18, -26, -20, -60, 0, -48, -50, 0, 129, 0, 44, -102, -54, 18, 0, 8, -28, -36, -68, 0, 0, -42, 72, -34, 0, -4, 33, -16, 118, 0, -54, -12, 192, 0, 0, -4, -2, 122, 36, 0, 32, 36, 92, -70, 0, 28, 0, -82, -40, 0, 32, 16, -12, 52, 0, -74, 100, -2, 68, 0, 11, -30, 184, -40, 0, -40, 54, -64, -188, 0, -140, 2, 0, -82, 0, 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0, 174, 0, 0, 364, 72, 136, 38, 0, 366, -330, -16, 566, 0, 146, 100, 138, -194, 0, 106, -176, 40, -62, 0, -96, 8, 0, 306, 0, 276, 116, 42, 82, 0, 196, 116, -44, -496, 0, 0, -38, -64, 102, 0, 38, 120, 32, -360, 0, -358, 8, -260, 0, 0, 160, 198, 124, -26, 0, 92, 48, 30, -164, 0, -333, 0, -36, 78, 0, 436, -60, 29, -32, 0, -22, -518, 40, -382, 0, 486, -54, -466, 306, 0, 438, 4, -28, -694, 0, 192, 406, 0, 310, 0, 62, -336, 132, -24, 0, 24, 86, -138, 236, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1195203
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '65.2.a.c', 'target_level': 65, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1195204
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '325.2.a.g', 'target_level': 325, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195205
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '325.2.b.e', 'target_level': 325, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1195206
{'conductor': 195, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '585.2.a.k', 'target_level': 585, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '195.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1195207
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '845.2.a.d', 'target_level': 845, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195208
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.c.e', 'target_level': 845, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '65.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1195209
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '845.2.e.e', 'target_level': 845, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1195210
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '845.2.e.f', 'target_level': 845, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '65.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 1195211
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '845.2.m.a', 'target_level': 845, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1195212
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 13, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '845.2.m.c', 'target_level': 845, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '65.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1195213
{'conductor': 260, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1040.2.a.h', 'target_level': 1040, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '260.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1195214
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '2925.2.a.z', 'target_level': 2925, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1195215
{'conductor': 195, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '2925.2.c.v', 'target_level': 2925, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '195.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 1195216
{'conductor': 455, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3185.2.a.k', 'target_level': 3185, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '455.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1195217
{'conductor': 520, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 25, 'target_is_minimal': False, 'target_label': '4160.2.a.y', 'target_level': 4160, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '520.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 1195218
{'conductor': 520, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '4160.2.a.bj', 'target_level': 4160, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '520.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195219
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '4225.2.a.w', 'target_level': 4225, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1195220
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 53, 'target_is_minimal': False, 'target_label': '5200.2.a.ca', 'target_level': 5200, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1195221
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '7605.2.a.be', 'target_level': 7605, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1195222
{'conductor': 715, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '7865.2.a.h', 'target_level': 7865, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '715.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1195223
{'conductor': 780, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '4225.2.a.w', 'source_level': 4225, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 65, 'target_is_minimal': False, 'target_label': '9360.2.a.cm', 'target_level': 9360, 'twist_class_label': '65.2.a.c', 'twist_class_level': 65, 'twisting_char_label': '780.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3519350
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 2}
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id: 3519351
{'charpoly_factorization': [[[-2, 2, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 3}
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id: 3519352
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 5}
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id: 3519353
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 7}
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id: 3519354
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 11}
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id: 3519355
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 13}
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id: 3519356
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 17}
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id: 3519357
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 19}
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id: 3519358
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 23}
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id: 3519359
{'charpoly_factorization': [[[24, 12, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 29}
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id: 3519360
{'charpoly_factorization': [[[-2, 10, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 31}
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id: 3519361
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 37}
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id: 3519362
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 41}
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id: 3519363
{'charpoly_factorization': [[[-2, 10, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 43}
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id: 3519364
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 47}
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id: 3519365
{'charpoly_factorization': [[[-108, 0, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 53}
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id: 3519366
{'charpoly_factorization': [[[-138, -6, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 59}
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id: 3519367
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 61}
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id: 3519368
{'charpoly_factorization': [[[-92, 8, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 67}
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id: 3519369
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 71}
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id: 3519370
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 73}
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id: 3519371
{'charpoly_factorization': [[[-104, -4, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 79}
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id: 3519372
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 83}
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id: 3519373
{'charpoly_factorization': [[[-12, -12, 1], 1]], 'hecke_orbit_code': 99079191835709569, 'p': 89}
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id: 3519374
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 99079191835709569, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '4225.2.a.w', 'level': 4225, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65424907
{'hecke_orbit_code': 99079191835709569, 'n': 1, 'trace_an': 2}
-
id: 65424908
{'hecke_orbit_code': 99079191835709569, 'n': 2, 'trace_an': 0}
-
id: 65424909
{'hecke_orbit_code': 99079191835709569, 'n': 3, 'trace_an': -2}
-
id: 65424910
{'hecke_orbit_code': 99079191835709569, 'n': 4, 'trace_an': 2}
-
id: 65424911
{'hecke_orbit_code': 99079191835709569, 'n': 5, 'trace_an': 0}
-
id: 65424912
{'hecke_orbit_code': 99079191835709569, 'n': 6, 'trace_an': 6}
-
id: 65424913
{'hecke_orbit_code': 99079191835709569, 'n': 7, 'trace_an': 4}
-
id: 65424914
{'hecke_orbit_code': 99079191835709569, 'n': 8, 'trace_an': 0}
-
id: 65424915
{'hecke_orbit_code': 99079191835709569, 'n': 9, 'trace_an': 2}
-
id: 65424916
{'hecke_orbit_code': 99079191835709569, 'n': 10, 'trace_an': 0}
-
id: 65424917
{'hecke_orbit_code': 99079191835709569, 'n': 11, 'trace_an': 6}
-
id: 65424918
{'hecke_orbit_code': 99079191835709569, 'n': 12, 'trace_an': -2}
-
id: 65424919
{'hecke_orbit_code': 99079191835709569, 'n': 13, 'trace_an': 0}
-
id: 65424920
{'hecke_orbit_code': 99079191835709569, 'n': 14, 'trace_an': 0}
-
id: 65424921
{'hecke_orbit_code': 99079191835709569, 'n': 15, 'trace_an': 0}
-
id: 65424922
{'hecke_orbit_code': 99079191835709569, 'n': 16, 'trace_an': -10}
-
id: 65424923
{'hecke_orbit_code': 99079191835709569, 'n': 17, 'trace_an': 0}
-
id: 65424924
{'hecke_orbit_code': 99079191835709569, 'n': 18, 'trace_an': -12}
-
id: 65424925
{'hecke_orbit_code': 99079191835709569, 'n': 19, 'trace_an': 2}
-
id: 65424926
{'hecke_orbit_code': 99079191835709569, 'n': 20, 'trace_an': 0}
-
id: 65424927
{'hecke_orbit_code': 99079191835709569, 'n': 21, 'trace_an': -4}
-
id: 65424928
{'hecke_orbit_code': 99079191835709569, 'n': 22, 'trace_an': -6}
-
id: 65424929
{'hecke_orbit_code': 99079191835709569, 'n': 23, 'trace_an': -6}
-
id: 65424930
{'hecke_orbit_code': 99079191835709569, 'n': 24, 'trace_an': -6}
-
id: 65424931
{'hecke_orbit_code': 99079191835709569, 'n': 25, 'trace_an': 0}
-
id: 65424932
{'hecke_orbit_code': 99079191835709569, 'n': 26, 'trace_an': 0}
-
id: 65424933
{'hecke_orbit_code': 99079191835709569, 'n': 27, 'trace_an': -8}
-
id: 65424934
{'hecke_orbit_code': 99079191835709569, 'n': 28, 'trace_an': 4}
-
id: 65424935
{'hecke_orbit_code': 99079191835709569, 'n': 29, 'trace_an': -12}
-
id: 65424936
{'hecke_orbit_code': 99079191835709569, 'n': 30, 'trace_an': 0}
-
id: 65424937
{'hecke_orbit_code': 99079191835709569, 'n': 31, 'trace_an': -10}
-
id: 65424938
{'hecke_orbit_code': 99079191835709569, 'n': 32, 'trace_an': 0}
-
id: 65424939
{'hecke_orbit_code': 99079191835709569, 'n': 33, 'trace_an': -12}
-
id: 65424940
{'hecke_orbit_code': 99079191835709569, 'n': 34, 'trace_an': -12}
-
id: 65424941
{'hecke_orbit_code': 99079191835709569, 'n': 35, 'trace_an': 0}
-
id: 65424942
{'hecke_orbit_code': 99079191835709569, 'n': 36, 'trace_an': 2}
-
id: 65424943
{'hecke_orbit_code': 99079191835709569, 'n': 37, 'trace_an': -8}
-
id: 65424944
{'hecke_orbit_code': 99079191835709569, 'n': 38, 'trace_an': -18}
-
id: 65424945
{'hecke_orbit_code': 99079191835709569, 'n': 39, 'trace_an': 0}
-
id: 65424946
{'hecke_orbit_code': 99079191835709569, 'n': 40, 'trace_an': 0}
-
id: 65424947
{'hecke_orbit_code': 99079191835709569, 'n': 41, 'trace_an': 0}
-
id: 65424948
{'hecke_orbit_code': 99079191835709569, 'n': 42, 'trace_an': 12}
-
id: 65424949
{'hecke_orbit_code': 99079191835709569, 'n': 43, 'trace_an': -10}
-
id: 65424950
{'hecke_orbit_code': 99079191835709569, 'n': 44, 'trace_an': 6}
-
id: 65424951
{'hecke_orbit_code': 99079191835709569, 'n': 45, 'trace_an': 0}
-
id: 65424952
{'hecke_orbit_code': 99079191835709569, 'n': 46, 'trace_an': -6}
-
id: 65424953
{'hecke_orbit_code': 99079191835709569, 'n': 47, 'trace_an': 12}
-
id: 65424954
{'hecke_orbit_code': 99079191835709569, 'n': 48, 'trace_an': 10}
-
id: 65424955
{'hecke_orbit_code': 99079191835709569, 'n': 49, 'trace_an': -6}
-
id: 65424956
{'hecke_orbit_code': 99079191835709569, 'n': 50, 'trace_an': 0}
-
id: 65424957
{'hecke_orbit_code': 99079191835709569, 'n': 51, 'trace_an': -12}
-
id: 65424958
{'hecke_orbit_code': 99079191835709569, 'n': 52, 'trace_an': 0}
-
id: 65424959
{'hecke_orbit_code': 99079191835709569, 'n': 53, 'trace_an': 0}
-
id: 65424960
{'hecke_orbit_code': 99079191835709569, 'n': 54, 'trace_an': 0}
-
id: 65424961
{'hecke_orbit_code': 99079191835709569, 'n': 55, 'trace_an': 0}
-
id: 65424962
{'hecke_orbit_code': 99079191835709569, 'n': 56, 'trace_an': 0}
-
id: 65424963
{'hecke_orbit_code': 99079191835709569, 'n': 57, 'trace_an': -20}
-
id: 65424964
{'hecke_orbit_code': 99079191835709569, 'n': 58, 'trace_an': -12}
-
id: 65424965
{'hecke_orbit_code': 99079191835709569, 'n': 59, 'trace_an': 6}
-
id: 65424966
{'hecke_orbit_code': 99079191835709569, 'n': 60, 'trace_an': 0}
-
id: 65424967
{'hecke_orbit_code': 99079191835709569, 'n': 61, 'trace_an': 4}
-
id: 65424968
{'hecke_orbit_code': 99079191835709569, 'n': 62, 'trace_an': 18}
-
id: 65424969
{'hecke_orbit_code': 99079191835709569, 'n': 63, 'trace_an': 4}
-
id: 65424970
{'hecke_orbit_code': 99079191835709569, 'n': 64, 'trace_an': 2}
-
id: 65424971
{'hecke_orbit_code': 99079191835709569, 'n': 65, 'trace_an': 0}
-
id: 65424972
{'hecke_orbit_code': 99079191835709569, 'n': 66, 'trace_an': 24}
-
id: 65424973
{'hecke_orbit_code': 99079191835709569, 'n': 67, 'trace_an': -8}
-
id: 65424974
{'hecke_orbit_code': 99079191835709569, 'n': 68, 'trace_an': 0}
-
id: 65424975
{'hecke_orbit_code': 99079191835709569, 'n': 69, 'trace_an': 0}
-
id: 65424976
{'hecke_orbit_code': 99079191835709569, 'n': 70, 'trace_an': 0}
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