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mf_newforms • Show schema
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{'Nk2': 2496, 'analytic_conductor': 4.982665086127896, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [13, 1]], 'atkin_lehner_string': '+++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [624, 1, [79, 469, 209, 145], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [0, 1]], [7, [0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288296048, 'hecke_ring_generator_nbound': 1, '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': '624.2.a.c', 'level': 624, '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, 'minimal_twist': '312.2.a.e', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}+q^{9}-6q^{11}-q^{13}+2q^{17}+\\cdots', 'related_objects': ['EllipticCurve/Q/624/c'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '624.2.a', 'trace_display': [0, -1, 0, 0], 'trace_hash': 675297797769907360, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.993', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.986', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.116', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.958', 'prec': 17}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, 'traces': [1, 0, -1, 0, 0, 0, 0, 0, 1, 0, -6, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, -4, 0, -5, 0, -1, 0, -6, 0, 4, 0, 6, 0, 0, 0, -2, 0, 1, 0, 0, 0, -4, 0, 0, 0, -10, 0, -7, 0, -2, 0, -10, 0, 0, 0, 0, 0, 6, 0, -6, 0, 0, 0, 0, 0, 12, 0, 4, 0, -2, 0, 6, 0, 5, 0, 0, 0, 16, 0, 1, 0, -6, 0, 0, 0, 6, 0, 4, 0, 0, 0, -4, 0, 0, 0, 14, 0, -6, 0, -6, 0, 8, 0, 0, 0, 8, 0, -6, 0, 2, 0, -10, 0, 0, 0, -1, 0, 0, 0, 25, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 16, 0, -20, 0, 10, 0, 6, 0, 0, 0, 7, 0, 4, 0, -20, 0, 2, 0, 0, 0, 14, 0, 10, 0, 0, 0, 16, 0, 0, 0, -18, 0, 1, 0, 0, 0, 18, 0, 0, 0, -6, 0, 20, 0, -10, 0, 6, 0, 0, 0, -12, 0, 0, 0, -16, 0, 26, 0, 0, 0, -24, 0, -16, 0, -12, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 2, 0, 0, 0, 0, 0, -6, 0, -2, 0, 4, 0, -5, 0, 14, 0, -22, 0, 0, 0, 6, 0, 0, 0, -16, 0, 14, 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-14, 0, -14, 0, 0, 0, -4, 0, -30, 0, 7, 0, 0, 0, 0, 0, 0, 0, -4, 0, 8, 0, -2, 0, 0, 0, 6, 0, 12, 0, 0, 0, 18, 0, 0, 0, 13, 0, -96, 0, -12, 0, 14, 0, 0, 0, 46, 0, -20, 0, -18, 0, -4, 0, 0, 0, -48, 0, 0, 0, -6, 0, 0, 0, 0, 0, -4, 0, -24, 0, -20, 0, 0, 0, 0, 0, -36, 0, -6, 0, -48, 0, 36, 0, 0, 0, 0, 0, -24, 0, 28, 0, 2, 0, 10, 0, 8, 0, -48, 0, 0, 0, 20, 0, 0, 0, 14, 0, 26, 0, 4, 0, 0, 0, 0, 0, -2, 0, -6, 0, -16, 0, -2, 0, 0, 0, -36, 0, 0, 0, -15, 0, 8, 0, 0, 0, -4, 0, 0, 0, -28, 0, 0, 0, -5, 0, 36, 0, -24, 0, -6, 0, 34, 0, 0, 0, 0, 0, 16, 0, -32, 0, 28, 0, 0, 0, 38, 0, 2, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1], [0], [-1], [0], [0], [0], [0], [0], [1], [0], [-6], [0], [-1], [0], [0], [0], [2], [0], [0], [0], [0], [0], [-4], [0], [-5], [0], [-1], [0], [-6], [0], [4], [0], [6], [0], [0], [0], [-2], [0], [1], [0], [0], [0], [-4], [0], [0], [0], [-10], [0], [-7], [0], [-2], [0], [-10], [0], [0], [0], [0], [0], [6], [0], [-6], [0], [0], [0], [0], [0], [12], [0], [4], [0], [-2], [0], [6], [0], [5], [0], [0], [0], [16], [0], [1], [0], [-6], [0], [0], [0], [6], [0], [4], [0], [0], [0], [-4], [0], [0], [0], [14], [0], [-6], [0]], 'ap': [[0], [-1], [0], [0], [-6], [-1], [2], [0], [-4], [-6], [4], [-2], [0], [-4], [-10], [-10], [6], [-6], [12], [-2], [6], [16], [-6], [4], [14], [-6], [8], [8], [-6], [-10], [0], [0], [16], [-20], [4], [-20], [14], [16], [-18], [18], [20], [-10], [-16], [26], [-24], [-16], [-4], [4], [14], [-22], [6], [14], [-10], [0], [-26], [-12], [-22], [8], [14], [0], [4], [20], [-28], [-20], [-26], [16], [-28], [-34], [4], [-34], [32], [-2], [-24], [26], [8], [18], [30], [-2], [-12], [-18], [0], [-6], [2], [30], [16], [-16], [-4], [-18], [40], [16], [24], [-30], [-12], [-40], [36], [-36], [40], [-18], [-28], [-38], [-12], [28], [36], [22], [44], [-14], [2], [12], [-4], [22], [-8], [6], [-24], [-20], [20], [-30], [-4], [16], [-22], [4], [-2], [-14], [-18], [-6], [-28], [30], [-14], [4], [-32], [-14], [52], [-34], [-16], [10], [16], [42], [20], [-12], [-42], [30], [-16], [-36], [0], [2], [34], [-30], [-2], [6], [12], [18], [46], [-18], [-4], [-48], [-36], [-48], [-24], [-48], [14], [4], [-2], [-2], [-4], [-28], [36], [34], [-32], [38]], 'char_orbit_index': 1, 'field_poly': [0, 1], 'hecke_orbit_code': 9007199288296048, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 1, 'label': '624.2.a.c', 'level': 624, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [2, 1, 2, 1, 2, 1, 0, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [8, 14, 14, 9, 10, 13, 13, 8], 'Nk2': 2496, 'analytic_conductor': 4.982665086127896, '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': [624, 1, [79, 469, 209, 145], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 101, 'dim': 12, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 33555056, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], 'label': '624.2.a', 'level': 624, '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': 124, 'mf_new_dim': 12, 'num_forms': 11, 'plus_dim': 4, 'prim_orbit_index': 1, 'relative_dim': 12, 'sturm_bound': 224, 'trace_bound': 7, 'trace_display': [0, 0, 0, 4], 'traces': [12, 0, 0, 0, 0, 0, 4, 0, 12, 0, 8, 0, 0, 0, 4, 0, 0, 0, -4, 0, 0, 0, -16, 0, 20, 0, 0, 0, -16, 0, 20, 0, 8, 0, 0, 0, -16, 0, 4, 0, 0, 0, 16, 0, 0, 0, 24, 0, 20, 0, 8, 0, -8, 0, -16, 0, 0, 0, 0, 0, -8, 0, 4, 0, 0, 0, 20, 0, -16, 0, -16, 0, 8, 0, 8, 0, -8, 0, 16, 0, 12, 0, -48, 0, 0, 0, 0, 0, 0, 0, -12, 0, 16, 0, 0, 0, -8, 0, 8, 0, 8, 0, -16, 0, 0, 0, -16, 0, -16, 0, 16, 0, -32, 0, 16, 0, 0, 0, -72, 0, -28, 0, -12, 0, -48, 0, -8, 0, 0, 0, -48, 0, -8, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 32, 0, 32, 0, -48, 0, -4, 0, 0, 0, 32, 0, 16, 0, -16, 0, 0, 0, -28, 0, 0, 0, 8, 0, 12, 0, -4, 0, -24, 0, 60, 0, -8, 0, -16, 0, -16, 0, 8, 0, 64, 0, -16, 0, 0, 0, -16, 0, 8, 0, -12, 0, 0, 0, -40, 0, 0, 0, -40, 0, -48, 0, -16, 0, 24, 0, 48, 0, 16, 0, -16, 0, 24, 0, -24, 0, 8, 0, -92, 0, 20, 0, 56, 0, 16, 0, -24, 0, 8, 0, -80, 0, 0, 0, 112, 0, -8, 0, 0, 0, -48, 0, 12, 0, -24, 0, 32, 0, 16, 0, 8, 0, 40, 0, 40, 0, -16, 0, -16, 0, 0, 0, -36, 0, 16, 0, 52, 0, 0, 0, 120, 0, -8, 0, 20, 0, 16, 0, -24, 0, -16, 0, 96, 0, 4, 0, 24, 0, -16, 0, 16, 0, 8, 0, 0, 0, 32, 0, -24, 0, 48, 0, 12, 0, 32, 0, -96, 0, -16, 0, 0, 0, 32, 0, 80, 0, -32, 0, 40, 0, -16, 0, -24, 0, -24, 0, -44, 0, -16, 0, 96, 0, -32, 0, -16, 0, 72, 0, 8, 0, -16, 0, 48, 0, -16, 0, 4, 0, 0, 0, 112, 0, 16, 0, 40, 0, 36, 0, 8, 0, 32, 0, -24, 0, 0, 0, 24, 0, 64, 0, 24, 0, -8, 0, 76, 0, 0, 0, -40, 0, -96, 0, 16, 0, 48, 0, 32, 0, -32, 0, -144, 0, 64, 0, 48, 0, 16, 0, -12, 0, 0, 0, 32, 0, -24, 0, -12, 0, 24, 0, -112, 0, 0, 0, 64, 0, 32, 0, 24, 0, 32, 0, -72, 0, 0, 0, -40, 0, 24, 0, -40, 0, 96, 0, -64, 0, 20, 0, -80, 0, -16, 0, -68, 0, 16, 0, -32, 0, -32, 0, 0, 0, -56, 0, 8, 0, 112, 0, 100, 0, -64, 0, 96, 0, -40, 0, 0, 0, -64, 0, -124, 0, -8, 0, -80, 0, 8, 0, 32, 0, 0, 0, -28, 0, 16, 0, -128, 0, -16, 0, -16, 0, -136, 0, -12, 0, -16, 0, -112, 0, -64, 0, 0, 0, 80, 0, -104, 0, 0, 0, -16, 0, 88, 0, -24, 0, -64, 0, -8, 0, -48, 0, 24, 0, -116, 0, 0, 0, 0, 0, -32, 0, -16, 0, 56, 0, -16, 0, -48, 0, -32, 0, 8, 0, -8, 0, 200, 0, -80, 0, -72, 0, 64, 0, 32, 0, 16, 0, -48, 0, -64, 0, 4, 0, -56, 0, 120, 0, 48, 0, -16, 0, -24, 0, -48, 0, 104, 0, -48, 0, 0, 0, 0, 0, 104, 0, 84, 0, -32, 0, 128, 0, 0, 0, 96, 0, 48, 0, 20, 0, 0, 0, 56, 0, -16, 0, 0, 0, -112, 0, -136, 0, -112, 0, -180, 0, -16, 0, -48, 0, 60, 0, 40, 0, -16, 0, 44, 0, 16, 0, 80, 0, 8, 0, -16, 0, 64, 0, -92, 0, 32, 0, 96, 0, 40, 0, 48, 0, -144, 0, -32, 0, 8, 0, 176, 0, 128, 0, 16, 0, -80, 0, 64, 0, -48, 0, 16, 0, -96, 0, 8, 0, 56, 0, -72, 0, 8, 0, -40, 0, -112, 0, 56, 0, 16, 0, 36, 0, -8, 0, -112, 0, 96, 0, 56, 0, -16, 0, 24, 0, 16, 0, -184, 0, -96, 0, 16, 0, 32, 0, -16, 0, 16, 0, 64, 0, 48, 0, -72, 0, -176, 0, 8, 0, 12, 0, 0, 0, 32, 0, 52, 0, -72, 0, -52, 0, 0, 0, -96, 0, -80, 0, -48, 0, -64, 0, 64, 0, 0, 0, -64, 0, 56, 0, -48, 0, 32, 0, -8, 0, 0, 0, -24, 0, 24, 0, 104, 0, -64, 0, 44, 0, 64, 0, 64, 0, -56, 0, 0, 0, 16, 0, 44, 0, 32, 0, -120, 0, -32, 0, 24, 0, 80, 0, 80, 0, 0, 0, -80, 0, 64, 0, -16, 0, 96, 0, 28, 0, 80, 0, -192, 0, 32, 0, -12, 0, -48, 0, -128, 0, -8, 0, 8, 0, -24, 0, 48, 0, -80, 0, -80, 0, 16, 0, -32, 0, 116, 0, -60, 0, 0, 0, 20, 0, 16, 0, 96, 0, 112, 0, 0, 0, -56, 0, 96, 0, 48, 0, 152, 0, 160, 0, -96, 0, -32, 0, 20, 0, -8, 0, -224, 0, 112, 0, 44, 0, 40, 0, 24, 0, -32, 0, -16, 0, 32, 0, 8, 0, -184, 0, 96, 0, 0, 0, 120, 0, -96, 0, 80, 0, 144, 0, 56, 0, 8, 0, 48, 0, -8, 0, 136, 0, 32, 0, 48, 0, 64, 0, 24, 0, 80, 0, -16, 0, 80, 0, 28, 0, 48, 0, -32, 0, -72, 0, 24, 0, 64, 0, 112, 0, 0, 0, 48, 0, 0, 0, 4, 0, 8, 0, 16, 0, 16, 0, 160, 0, -12, 0, -16, 0, 96, 0, -140, 0, -112, 0, 160, 0, 16, 0, 20, 0, 112, 0, 64, 0, -16, 0, -112, 0, 16, 0, -8, 0, -64, 0, 120, 0, 16, 0, 48, 0, 136, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 418083
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': True, 'target_label': '312.2.a.e', 'target_level': 312, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418084
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '624.2.a.c', 'target_level': 624, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 418085
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '936.2.a.e', 'target_level': 936, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418086
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1872.2.a.j', 'target_level': 1872, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418087
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2496.2.a.g', 'target_level': 2496, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418088
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '2496.2.a.x', 'target_level': 2496, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418089
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '4056.2.a.o', 'target_level': 4056, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 418090
{'conductor': 52, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4056.2.c.g', 'target_level': 4056, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418091
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '7488.2.a.bc', 'target_level': 7488, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 418092
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '7488.2.a.bd', 'target_level': 7488, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 418093
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '7800.2.a.f', 'target_level': 7800, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 418094
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 1, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '624.2.a.c', 'source_level': 624, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '8112.2.a.h', 'target_level': 8112, 'twist_class_label': '312.2.a.e', 'twist_class_level': 312, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1125800
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 2}
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id: 1125801
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 3}
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id: 1125802
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 5}
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id: 1125803
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 7}
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id: 1125804
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 11}
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id: 1125805
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 13}
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id: 1125806
{'charpoly_factorization': [[[-2, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 17}
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id: 1125807
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 19}
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id: 1125808
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 23}
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id: 1125809
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 29}
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id: 1125810
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 31}
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id: 1125811
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 37}
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id: 1125812
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 41}
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id: 1125813
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 43}
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id: 1125814
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 47}
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id: 1125815
{'charpoly_factorization': [[[10, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 53}
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id: 1125816
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 59}
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id: 1125817
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 61}
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id: 1125818
{'charpoly_factorization': [[[-12, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 67}
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id: 1125819
{'charpoly_factorization': [[[2, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 71}
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id: 1125820
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 73}
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id: 1125821
{'charpoly_factorization': [[[-16, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 79}
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id: 1125822
{'charpoly_factorization': [[[6, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 83}
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id: 1125823
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 89}
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id: 1125824
{'charpoly_factorization': [[[-14, 1], 1]], 'hecke_orbit_code': 9007199288296048, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '624.2.a.c', 'level': 624, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 26126605
{'hecke_orbit_code': 9007199288296048, 'n': 1, 'trace_an': 1}
-
id: 26126606
{'hecke_orbit_code': 9007199288296048, 'n': 2, 'trace_an': 0}
-
id: 26126607
{'hecke_orbit_code': 9007199288296048, 'n': 3, 'trace_an': -1}
-
id: 26126608
{'hecke_orbit_code': 9007199288296048, 'n': 4, 'trace_an': 0}
-
id: 26126609
{'hecke_orbit_code': 9007199288296048, 'n': 5, 'trace_an': 0}
-
id: 26126610
{'hecke_orbit_code': 9007199288296048, 'n': 6, 'trace_an': 0}
-
id: 26126611
{'hecke_orbit_code': 9007199288296048, 'n': 7, 'trace_an': 0}
-
id: 26126612
{'hecke_orbit_code': 9007199288296048, 'n': 8, 'trace_an': 0}
-
id: 26126613
{'hecke_orbit_code': 9007199288296048, 'n': 9, 'trace_an': 1}
-
id: 26126614
{'hecke_orbit_code': 9007199288296048, 'n': 10, 'trace_an': 0}
-
id: 26126615
{'hecke_orbit_code': 9007199288296048, 'n': 11, 'trace_an': -6}
-
id: 26126616
{'hecke_orbit_code': 9007199288296048, 'n': 12, 'trace_an': 0}
-
id: 26126617
{'hecke_orbit_code': 9007199288296048, 'n': 13, 'trace_an': -1}
-
id: 26126618
{'hecke_orbit_code': 9007199288296048, 'n': 14, 'trace_an': 0}
-
id: 26126619
{'hecke_orbit_code': 9007199288296048, 'n': 15, 'trace_an': 0}
-
id: 26126620
{'hecke_orbit_code': 9007199288296048, 'n': 16, 'trace_an': 0}
-
id: 26126621
{'hecke_orbit_code': 9007199288296048, 'n': 17, 'trace_an': 2}
-
id: 26126622
{'hecke_orbit_code': 9007199288296048, 'n': 18, 'trace_an': 0}
-
id: 26126623
{'hecke_orbit_code': 9007199288296048, 'n': 19, 'trace_an': 0}
-
id: 26126624
{'hecke_orbit_code': 9007199288296048, 'n': 20, 'trace_an': 0}
-
id: 26126625
{'hecke_orbit_code': 9007199288296048, 'n': 21, 'trace_an': 0}
-
id: 26126626
{'hecke_orbit_code': 9007199288296048, 'n': 22, 'trace_an': 0}
-
id: 26126627
{'hecke_orbit_code': 9007199288296048, 'n': 23, 'trace_an': -4}
-
id: 26126628
{'hecke_orbit_code': 9007199288296048, 'n': 24, 'trace_an': 0}
-
id: 26126629
{'hecke_orbit_code': 9007199288296048, 'n': 25, 'trace_an': -5}
-
id: 26126630
{'hecke_orbit_code': 9007199288296048, 'n': 26, 'trace_an': 0}
-
id: 26126631
{'hecke_orbit_code': 9007199288296048, 'n': 27, 'trace_an': -1}
-
id: 26126632
{'hecke_orbit_code': 9007199288296048, 'n': 28, 'trace_an': 0}
-
id: 26126633
{'hecke_orbit_code': 9007199288296048, 'n': 29, 'trace_an': -6}
-
id: 26126634
{'hecke_orbit_code': 9007199288296048, 'n': 30, 'trace_an': 0}
-
id: 26126635
{'hecke_orbit_code': 9007199288296048, 'n': 31, 'trace_an': 4}
-
id: 26126636
{'hecke_orbit_code': 9007199288296048, 'n': 32, 'trace_an': 0}
-
id: 26126637
{'hecke_orbit_code': 9007199288296048, 'n': 33, 'trace_an': 6}
-
id: 26126638
{'hecke_orbit_code': 9007199288296048, 'n': 34, 'trace_an': 0}
-
id: 26126639
{'hecke_orbit_code': 9007199288296048, 'n': 35, 'trace_an': 0}
-
id: 26126640
{'hecke_orbit_code': 9007199288296048, 'n': 36, 'trace_an': 0}
-
id: 26126641
{'hecke_orbit_code': 9007199288296048, 'n': 37, 'trace_an': -2}
-
id: 26126642
{'hecke_orbit_code': 9007199288296048, 'n': 38, 'trace_an': 0}
-
id: 26126643
{'hecke_orbit_code': 9007199288296048, 'n': 39, 'trace_an': 1}
-
id: 26126644
{'hecke_orbit_code': 9007199288296048, 'n': 40, 'trace_an': 0}
-
id: 26126645
{'hecke_orbit_code': 9007199288296048, 'n': 41, 'trace_an': 0}
-
id: 26126646
{'hecke_orbit_code': 9007199288296048, 'n': 42, 'trace_an': 0}
-
id: 26126647
{'hecke_orbit_code': 9007199288296048, 'n': 43, 'trace_an': -4}
-
id: 26126648
{'hecke_orbit_code': 9007199288296048, 'n': 44, 'trace_an': 0}
-
id: 26126649
{'hecke_orbit_code': 9007199288296048, 'n': 45, 'trace_an': 0}
-
id: 26126650
{'hecke_orbit_code': 9007199288296048, 'n': 46, 'trace_an': 0}
-
id: 26126651
{'hecke_orbit_code': 9007199288296048, 'n': 47, 'trace_an': -10}
-
id: 26126652
{'hecke_orbit_code': 9007199288296048, 'n': 48, 'trace_an': 0}
-
id: 26126653
{'hecke_orbit_code': 9007199288296048, 'n': 49, 'trace_an': -7}
-
id: 26126654
{'hecke_orbit_code': 9007199288296048, 'n': 50, 'trace_an': 0}
-
id: 26126655
{'hecke_orbit_code': 9007199288296048, 'n': 51, 'trace_an': -2}
-
id: 26126656
{'hecke_orbit_code': 9007199288296048, 'n': 52, 'trace_an': 0}
-
id: 26126657
{'hecke_orbit_code': 9007199288296048, 'n': 53, 'trace_an': -10}
-
id: 26126658
{'hecke_orbit_code': 9007199288296048, 'n': 54, 'trace_an': 0}
-
id: 26126659
{'hecke_orbit_code': 9007199288296048, 'n': 55, 'trace_an': 0}
-
id: 26126660
{'hecke_orbit_code': 9007199288296048, 'n': 56, 'trace_an': 0}
-
id: 26126661
{'hecke_orbit_code': 9007199288296048, 'n': 57, 'trace_an': 0}
-
id: 26126662
{'hecke_orbit_code': 9007199288296048, 'n': 58, 'trace_an': 0}
-
id: 26126663
{'hecke_orbit_code': 9007199288296048, 'n': 59, 'trace_an': 6}
-
id: 26126664
{'hecke_orbit_code': 9007199288296048, 'n': 60, 'trace_an': 0}
-
id: 26126665
{'hecke_orbit_code': 9007199288296048, 'n': 61, 'trace_an': -6}
-
id: 26126666
{'hecke_orbit_code': 9007199288296048, 'n': 62, 'trace_an': 0}
-
id: 26126667
{'hecke_orbit_code': 9007199288296048, 'n': 63, 'trace_an': 0}
-
id: 26126668
{'hecke_orbit_code': 9007199288296048, 'n': 64, 'trace_an': 0}
-
id: 26126669
{'hecke_orbit_code': 9007199288296048, 'n': 65, 'trace_an': 0}
-
id: 26126670
{'hecke_orbit_code': 9007199288296048, 'n': 66, 'trace_an': 0}
-
id: 26126671
{'hecke_orbit_code': 9007199288296048, 'n': 67, 'trace_an': 12}
-
id: 26126672
{'hecke_orbit_code': 9007199288296048, 'n': 68, 'trace_an': 0}
-
id: 26126673
{'hecke_orbit_code': 9007199288296048, 'n': 69, 'trace_an': 4}
-
id: 26126674
{'hecke_orbit_code': 9007199288296048, 'n': 70, 'trace_an': 0}
-
id: 26126675
{'hecke_orbit_code': 9007199288296048, 'n': 71, 'trace_an': -2}
-
id: 26126676
{'hecke_orbit_code': 9007199288296048, 'n': 72, 'trace_an': 0}
-
id: 26126677
{'hecke_orbit_code': 9007199288296048, 'n': 73, 'trace_an': 6}
-
id: 26126678
{'hecke_orbit_code': 9007199288296048, 'n': 74, 'trace_an': 0}
-
id: 26126679
{'hecke_orbit_code': 9007199288296048, 'n': 75, 'trace_an': 5}
-
id: 26126680
{'hecke_orbit_code': 9007199288296048, 'n': 76, 'trace_an': 0}
-
id: 26126681
{'hecke_orbit_code': 9007199288296048, 'n': 77, 'trace_an': 0}
-
id: 26126682
{'hecke_orbit_code': 9007199288296048, 'n': 78, 'trace_an': 0}
-
id: 26126683
{'hecke_orbit_code': 9007199288296048, 'n': 79, 'trace_an': 16}
-
id: 26126684
{'hecke_orbit_code': 9007199288296048, 'n': 80, 'trace_an': 0}
-
id: 26126685
{'hecke_orbit_code': 9007199288296048, 'n': 81, 'trace_an': 1}
-
id: 26126686
{'hecke_orbit_code': 9007199288296048, 'n': 82, 'trace_an': 0}
-
id: 26126687
{'hecke_orbit_code': 9007199288296048, 'n': 83, 'trace_an': -6}
-
id: 26126688
{'hecke_orbit_code': 9007199288296048, 'n': 84, 'trace_an': 0}
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