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mf_newforms • Show schema
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{'Nk2': 7488, 'analytic_conductor': 14.947995258383688, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1872, 2, [703, 469, 209, 145], [2, 2, 2, 1]], 'cm_discs': [], 'conrey_index': 1585, 'conrey_indexes': [1585], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [4, 0, 1]], [7, [4, 0, 1]], [11, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503737099880272, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1872.2.c.b', 'level': 1872, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'minimal_twist': '78.2.b.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{5}-iq^{7}+(-3+i)q^{13}+2q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1872.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 691619325163719667, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.919', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.573', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 1], [0, 0], [0, 0], [0, 0], [2, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [10, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [4, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 5], [0, 0], [-4, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [3, 0], [0, 0], [0, 0], [0, 0], [6, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [2, 0], [0, 0], [0, 0], [0, 0], [-4, -3], [0, 0], [0, -1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 2], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [4, 3], [0, 0], [0, 0], [0, 0], [12, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 1], [0, -1], [0, 0], [-3, 1], [2, 0], [0, -3], [4, 0], [10, 0], [0, 5], [0, -4], [0, 5], [-4, 0], [0, 6], [6, 0], [0, -2], [2, 0], [0, -1], [0, 0], [0, 2], [0, 0], [0, 2], [0, -3], [0, 6], [-2, 0], [16, 0], [8, 0], [0, -2], [-14, 0], [-8, 0], [-8, 0], [0, -1], [20, 0], [0, 7], [0, 5], [-2, 0], [0, -7], [0, 6], [6, 0], [0, 0], [22, 0], [12, 0], [0, -8], [0, -11], [0, 0], [-12, 0], [0, -7], [0, -4], [0, -2], [6, 0], [0, 8], [0, -10], [-28, 0], [-18, 0], [24, 0], [10, 0], [0, -5], [-2, 0], [0, -5], [-4, 0], [0, -7], [0, -1], [-28, 0], [-26, 0], [0, 9], [0, -5], [-2, 0], [-12, 0], [0, 8], [0, 13], [0, -2], [-8, 0], [-6, 0], [0, 17], [0, 2], [-30, 0], [0, -4], [0, -15], [0, -2], [40, 0], [0, -10], [0, 10], [-26, 0], [0, 0], [-16, 0], [0, -3], [0, -14], [0, -15], [0, 3], [-12, 0], [0, -12], [0, 9], [-28, 0], [0, 7], [24, 0], [0, -3], [18, 0], [-4, 0], [0, 10], [-28, 0], [0, 9], [-16, 0], [-10, 0], [28, 0], [0, -4], [0, -14], [0, 13], [0, 0], [22, 0], [32, 0], [0, -8], [0, -11], [0, -13], [0, 5], [18, 0], [0, 3], [-32, 0], [26, 0], [20, 0], [0, 20], [-6, 0], [-18, 0], [0, 12], [0, -5], [-22, 0], [0, 18], [20, 0], [-8, 0], [0, 22], [0, -13], [0, -8], [-32, 0], [-22, 0], [0, 15], [0, -12], [0, 3], [0, 19], [2, 0], [50, 0], [0, 5], [0, 15], [-24, 0], [0, -24], [-30, 0], [0, 8], [0, -28], [22, 0], [20, 0], [0, 22], [0, -4], [-42, 0], [36, 0], [-12, 0], [-28, 0], [12, 0], [0, 0], [0, -3], [-2, 0], [0, -5], [0, 26], [6, 0], [0, -11], [12, 0], [0, -21], [0, 12], [8, 0], [-42, 0], [0, -22], [-34, 0], [0, -12], [0, 0], [52, 0], [0, 2], [0, 0], [30, 0], [0, -5], [0, 5], [-24, 0], [50, 0], [0, -1], [32, 0], [-6, 0], [0, -1], [0, -18], [-30, 0], [-2, 0], [0, -7], [0, 18], [0, -10], [34, 0], [0, 22], [28, 0], [0, 5], [48, 0], [-34, 0], [0, -20], [-6, 0], [0, -31], [-36, 0], [0, 27], [8, 0], [0, 6], [50, 0], [0, 18], [22, 0], [0, -3], [24, 0], [0, 27], [-52, 0], [38, 0], [-42, 0], [16, 0], [0, -4], [0, -2], [0, 20], [32, 0], [-42, 0], [0, -24], [0, -7], [-18, 0], [0, 27], [0, 27], [0, -7], [-12, 0], [-10, 0], [-34, 0], [-40, 0], [32, 0], [0, 30], [14, 0], [20, 0], [0, -25], [18, 0], [-44, 0], [0, -24], [0, 18], [0, -27], [-40, 0], [12, 0], [0, -38], [28, 0], [-64, 0], [0, -32], [0, 3], [20, 0], [0, -1], [0, -10], [0, -23], [-76, 0], [0, 6], [0, -15], [0, -4], [-10, 0], [-54, 0], [0, -12], [2, 0], [0, -11], [-38, 0], [0, -4], [-24, 0], [-12, 0], [0, -22], [14, 0], [0, 9], [-20, 0], [0, 17], [0, 25], [0, -17], [-74, 0], [2, 0], [0, 19], [0, -38], [40, 0], [-2, 0], [0, -37], [0, 16], [0, 8], [0, 20], [12, 0], [-76, 0], [0, -5], [28, 0], [0, 20], [0, 19], [32, 0], [-66, 0], [0, -1], [0, -23], [70, 0], [-42, 0], [28, 0], [0, 3], [0, 30], [-66, 0], [10, 0], [48, 0], [-54, 0], [20, 0], [0, -21], [-6, 0], [0, 39], [-80, 0]], 'char_orbit_index': 3, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 4503737099880272, 'hecke_ring_character_values': [[703, [1, 0]], [469, [1, 0]], [209, [1, 0]], [145, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '1872.2.c.b', 'level': 1872, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 7488, 'analytic_conductor': 14.947995258383688, 'char_conductor': 13, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [1872, 2, [703, 469, 209, 145], [2, 2, 2, 1]], 'conrey_index': 1585, 'cusp_dim': 312, 'dim': 34, 'eis_dim': 48, 'eis_new_dim': 2, 'hecke_cutter_primes': [5, 7, 11], 'hecke_orbit_code': 137472509776, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 8], 'label': '1872.2.c', 'level': 1872, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 13], 'level_radical': 78, 'mf_dim': 360, 'mf_new_dim': 36, 'num_forms': 12, 'prim_orbit_index': 2, 'relative_dim': 34, 'sturm_bound': 672, 'trace_bound': 17, 'trace_display': [0, 0, 0, 0], 'traces': [34, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, -34, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -30, 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mf_twists_nf • Show schema
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id: 830352
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.b.a', 'target_level': 78, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830353
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '78.2.b.a', 'target_level': 78, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830354
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.b.a', 'target_level': 234, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830355
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '234.2.b.a', 'target_level': 234, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830356
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.c.a', 'target_level': 624, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830357
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '624.2.c.a', 'target_level': 624, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 830358
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1014.2.a.b', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 830359
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1014.2.a.g', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 830360
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1014.2.e.b', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 830361
{'conductor': 156, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1014.2.e.e', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 830362
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1014.2.i.c', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 830363
{'conductor': 156, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1014.2.i.c', 'target_level': 1014, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 830364
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1872.2.c.b', 'target_level': 1872, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 830365
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1872.2.c.b', 'target_level': 1872, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830366
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.b.c', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830367
{'conductor': 780, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1950.2.b.c', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '780.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 830368
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.f.d', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 830369
{'conductor': 780, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '1950.2.f.d', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '780.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 830370
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.f.g', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 830371
{'conductor': 780, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1950.2.f.g', 'target_level': 1950, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '780.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 830372
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2496.2.c.f', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830373
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '2496.2.c.f', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '312.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830374
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.c.m', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830375
{'conductor': 312, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2496.2.c.m', 'target_level': 2496, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '312.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 830376
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '3042.2.a.c', 'target_level': 3042, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830377
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3042.2.a.n', 'target_level': 3042, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830378
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3822.2.c.d', 'target_level': 3822, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 830379
{'conductor': 1092, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '3822.2.c.d', 'target_level': 3822, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '1092.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 830380
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '8112.2.a.g', 'target_level': 8112, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 830381
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1872.2.c.b', 'source_level': 1872, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '8112.2.a.j', 'target_level': 8112, 'twist_class_label': '78.2.b.a', 'twist_class_level': 78, 'twisting_char_label': '39.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 2267575
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 2}
-
id: 2267576
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 3}
-
id: 2267577
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 5}
-
id: 2267578
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 7}
-
id: 2267579
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 11}
-
id: 2267580
{'charpoly_factorization': [[[13, 6, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 13}
-
id: 2267581
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 17}
-
id: 2267582
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 19}
-
id: 2267583
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 23}
-
id: 2267584
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 29}
-
id: 2267585
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 31}
-
id: 2267586
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 37}
-
id: 2267587
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 41}
-
id: 2267588
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 43}
-
id: 2267589
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 47}
-
id: 2267590
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 53}
-
id: 2267591
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 59}
-
id: 2267592
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 61}
-
id: 2267593
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 67}
-
id: 2267594
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 71}
-
id: 2267595
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 73}
-
id: 2267596
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503737099880272, 'p': 79}
-
id: 2267597
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 83}
-
id: 2267598
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 89}
-
id: 2267599
{'charpoly_factorization': [[[144, 0, 1], 1]], 'hecke_orbit_code': 4503737099880272, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 2, 'label': '1872.2.c.b', 'level': 1872, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 81566000
{'hecke_orbit_code': 4503737099880272, 'n': 1, 'trace_an': 2}
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id: 81566001
{'hecke_orbit_code': 4503737099880272, 'n': 2, 'trace_an': 0}
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id: 81566002
{'hecke_orbit_code': 4503737099880272, 'n': 3, 'trace_an': 0}
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id: 81566003
{'hecke_orbit_code': 4503737099880272, 'n': 4, 'trace_an': 0}
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id: 81566004
{'hecke_orbit_code': 4503737099880272, 'n': 5, 'trace_an': 0}
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id: 81566005
{'hecke_orbit_code': 4503737099880272, 'n': 6, 'trace_an': 0}
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id: 81566006
{'hecke_orbit_code': 4503737099880272, 'n': 7, 'trace_an': 0}
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id: 81566007
{'hecke_orbit_code': 4503737099880272, 'n': 8, 'trace_an': 0}
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id: 81566008
{'hecke_orbit_code': 4503737099880272, 'n': 9, 'trace_an': 0}
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id: 81566009
{'hecke_orbit_code': 4503737099880272, 'n': 10, 'trace_an': 0}
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id: 81566010
{'hecke_orbit_code': 4503737099880272, 'n': 11, 'trace_an': 0}
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id: 81566011
{'hecke_orbit_code': 4503737099880272, 'n': 12, 'trace_an': 0}
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id: 81566012
{'hecke_orbit_code': 4503737099880272, 'n': 13, 'trace_an': -6}
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id: 81566013
{'hecke_orbit_code': 4503737099880272, 'n': 14, 'trace_an': 0}
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id: 81566014
{'hecke_orbit_code': 4503737099880272, 'n': 15, 'trace_an': 0}
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id: 81566015
{'hecke_orbit_code': 4503737099880272, 'n': 16, 'trace_an': 0}
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id: 81566016
{'hecke_orbit_code': 4503737099880272, 'n': 17, 'trace_an': 4}
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id: 81566017
{'hecke_orbit_code': 4503737099880272, 'n': 18, 'trace_an': 0}
-
id: 81566018
{'hecke_orbit_code': 4503737099880272, 'n': 19, 'trace_an': 0}
-
id: 81566019
{'hecke_orbit_code': 4503737099880272, 'n': 20, 'trace_an': 0}
-
id: 81566020
{'hecke_orbit_code': 4503737099880272, 'n': 21, 'trace_an': 0}
-
id: 81566021
{'hecke_orbit_code': 4503737099880272, 'n': 22, 'trace_an': 0}
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id: 81566022
{'hecke_orbit_code': 4503737099880272, 'n': 23, 'trace_an': 8}
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id: 81566023
{'hecke_orbit_code': 4503737099880272, 'n': 24, 'trace_an': 0}
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id: 81566024
{'hecke_orbit_code': 4503737099880272, 'n': 25, 'trace_an': 2}
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id: 81566025
{'hecke_orbit_code': 4503737099880272, 'n': 26, 'trace_an': 0}
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id: 81566026
{'hecke_orbit_code': 4503737099880272, 'n': 27, 'trace_an': 0}
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id: 81566027
{'hecke_orbit_code': 4503737099880272, 'n': 28, 'trace_an': 0}
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