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mf_newforms • Show schema
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{'Nk2': 111, 'analytic_conductor': 0.05539621640226327, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 18, 'artin_field': [1, 2, -2, -2, 4, -3, 1], 'artin_field_label': '6.0.36963.1', 'artin_image': '18.3', 'char_conductor': 111, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': -1, 'char_values': [111, 6, [38, 76], [3, 2]], 'cm_discs': [-3], 'conrey_index': 26, 'dim': 2, 'embedded_related_objects': [['ArtinRepresentation/2.3_37.6t5.1c1'], ['ArtinRepresentation/2.3_37.6t5.1c2']], 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 549772591215, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 3, 2, -1, 2, -3], [1, 1, 37, 3, 1, 3, 0], [1, 1, 111, 9, -1, 6, 0]], 'is_cm': True, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '111.1.i.a', 'level': 111, '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': True, 'level_primes': [3, 37], 'level_radical': 111, 'minimal_twist': '111.1.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 9, 'projective_field': [-37, 0, 0, 1], 'projective_field_label': '3.1.4107.1', 'projective_image': 'D3', 'projective_image_type': 'Dn', 'qexp_display': 'q-\\zeta_{6}q^{3}-\\zeta_{6}q^{4}+\\zeta_{6}q^{7}+\\zeta_{6}^{2}q^{9}+\\cdots', 'related_objects': ['ArtinRepresentation/2.3_37.6t5.1'], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '111.1.i', 'trace_display': [0, -1, 0, 1], 'trace_hash': 1343029396390960254, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.001', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.931', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.863', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.141', 'prec': 20}, {'__RealLiteral__': 0, 'data': '47.131', 'prec': 20}, {'__RealLiteral__': 0, 'data': '229.266', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.508', 'prec': 17}, 'traces': [2, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0, 0, -2, 0, 1, 0, 0, 0, -1, 0, 2, 1, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 1, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -2, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, -1, 1, 0, -1, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 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mf_hecke_nf • Show schema
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{'an': [[[1, 0]], [], [[-1, 1]], [[-1, 1]], [], [], [[1, 1]], [], [[1, 2]], [], [], [[1, 2]], [[1, 1]], [], [], [[1, 2]], [], [], [[-1, 1], [-1, 1]], [], [[-1, 2]], [], [], [], [[1, 2]], [], [[1, 0]], [[-1, 2]], [], [], [[-1, 0]], [], [], [], [], [[1, 0]], [[1, 0]], [], [[-1, 2]], [], [], [], [[-1, 0]], [], [], [], [], [[1, 0]], [], [], [], [[-1, 2]], [], [], [], [], [[2, 2]], [], [], [], [[-1, 1], [-1, 1]], [], [[-1, 0]], [[1, 0]], [], [], [[1, 1]], [], [], [], [], [], [[-1, 0]], [], [[1, 0]], [[2, 2]], [], [], [[1, 1]], [], [[-1, 1]], [], [], [[-1, 0]], [], [], [], [], [], [], [[1, 2]], [], [[1, 1]], [], [], [], [[-1, 0]], [], [], [[1, 0]]], 'ap': [[], [[-1, 1]], [], [[1, 1]], [], [[1, 1]], [], [[-1, 1], [-1, 1]], [], [], [[-1, 0]], [[1, 0]], [], [[-1, 0]], [], [], [], [[-1, 1], [-1, 1]], [[1, 1]], [], [[-1, 0]], [[1, 1]], [], [], [[-1, 0]], [], [[1, 0], [1, 0]], [], [[-1, 2]], [], [[-1, 2]], [], [], [[-1, 2]], [], [[1, 1]], [[-1, 2]], [[1, 2], [1, 2]], [], [], [], [[1, 1]], [], [[-1, 0]], [], [[-1, 0]], [[-1, 0]], [[-1, 0]], [], [[1, 1]], [], [], [[1, 1]], [], [], [], [], [[-1, 2]], [[-1, 1], [-1, 1]], [], [[1, 1]], [], [[-1, 0]], [], [[-1, 2]], [], [[-1, 2]], [[1, 1]], [], [[1, 2], [1, 2]], [], [], [[1, 1]], [[1, 1]], [[1, 2], [1, 2]], [], [], [[-1, 0]], [], [[-1, 2]], [], [[1, 0], [1, 0]], [], [[1, 0], [1, 0]], [[1, 1]], [], [], [[-1, 1], [-1, 1]], [], [[1, 1]], [], [], [[1, 0], [1, 0]], [], [[-1, 1], [-1, 1]], [], [], [], [[1, 1]], [[-1, 0]], [[-1, 0]], [], [], [], [[-1, 2]], [[1, 2], [1, 2]], [], [], [], [[-1, 2]], [[1, 2], [1, 2]], [[1, 2], [1, 2]], [], [[-1, 0]], [[-1, 2]], [], [[-1, 0]], [], [], [], [[1, 1]], [[-1, 1], [-1, 1]], [], [], [[-1, 2]], [], [[-1, 0]], [], [[1, 1]], [[1, 1]], [[1, 0], [1, 0]], [], [[-1, 0]], [[-1, 2]], [], [[-1, 0]], [], [[-1, 0]], [], [], [[-1, 1], [-1, 1]], [], [[-1, 2]], [], [[-1, 2]], [], [[1, 2], [1, 2]], [], [[-1, 0]], [], [[-1, 0]], [], [[-1, 1], [-1, 1]], [], [[1, 1]], [], [[-1, 0]], [], [[-1, 2]], [], [], [], [[1, 1]], [], [], [], [[1, 0], [1, 0]], [[1, 2], [1, 2]], [[-1, 0]], [], [], [[-1, 2]], [], [[-1, 1], [-1, 1]], [[-1, 1], [-1, 1]], [], [[-1, 2]], [], [[1, 0], [1, 0]], [[-1, 1], [-1, 1]], [[1, 0], [1, 0]], [], [[1, 2], [1, 2]], [], [], [], [[-1, 1], [-1, 1]], [[1, 1]], [[-1, 1], [-1, 1]], [], [[1, 0], [1, 0]], [], [[1, 1]], [], [], [], [[-1, 2]], [[1, 0], [1, 0]], [], [], [], [[-1, 0]], [[1, 2], [1, 2]], [[-1, 2]], [], [], [[-1, 2]], [], [], [[1, 1]], [[-1, 2]], [], [[-1, 0]], [], [], [[-1, 0]], [[1, 1]], [], [], [], [[1, 2], [1, 2]], [[1, 1]], [], [[1, 2], [1, 2]], [], [[1, 0], [1, 0]], [], [], [[-1, 1], [-1, 1]], [], [[-1, 0]], [[-1, 2]], [[-1, 2]], [], [[-1, 1], [-1, 1]], [], [[1, 2], [1, 2]], [], [], [], [], [[-1, 0]], [[-1, 0]], [[1, 1]], [], [], [[1, 1]], [], [[1, 2], [1, 2]], [], [[-1, 0]], [], [], [[1, 1]], [], [], [[1, 1]], [[1, 0], [1, 0]], [], [[-1, 0]], [[-1, 2]], [], [[-1, 1], [-1, 1]], [[-1, 2]], [], [[1, 1]], [], [], [[-1, 2]], [], [[-1, 2]], [[-1, 0]], [[-1, 0]], [[1, 2], [1, 2]], [[-1, 0]], [[-1, 1], [-1, 1]], [], [[1, 1]], [[1, 2], [1, 2]], [], [], [[-1, 1], [-1, 1]], [], [[1, 0], [1, 0]], [[-1, 2]], [], [[-1, 0]], [], [[-1, 0]], [], [], [], [], [], [[-1, 2]], [], [[-1, 0]], [], [], [[-1, 0]], [[1, 1]], [], [[1, 0], [1, 0]]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 549772591215, 'hecke_ring_character_values': [[38, [[-1, 0]]], [76, [[-1, 1]]]], 'hecke_ring_cyclotomic_generator': 6, 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '111.1.i.a', 'level': 111, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 111, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.05539621640226327, 'char_conductor': 111, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 6, 'char_parity': -1, 'char_values': [111, 6, [38, 76], [3, 2]], 'conrey_index': 26, 'cusp_dim': 2, 'dihedral_dim': 2, 'dim': 2, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_orbit_code': 549772591215, 'hecke_orbit_dims': [2], 'label': '111.1.i', 'level': 111, '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': True, 'level_primes': [3, 37], 'level_radical': 111, 'mf_dim': 6, 'mf_new_dim': 6, 'num_forms': 1, 'prim_orbit_index': 9, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 12, 'trace_bound': 0, 'trace_display': [0, -1, 0, 1], 'traces': [2, 0, -1, -1, 0, 0, 1, 0, -1, 0, 0, -1, 1, 0, 0, -1, 0, 0, -2, 0, 1, 0, 0, 0, -1, 0, 2, 1, 0, 0, -2, 0, 0, 0, 0, 2, 2, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, -2, 0, -2, 2, 0, 0, 1, 0, 0, 0, 0, 0, -2, 0, 2, -2, 0, 0, 1, 0, -1, 0, 0, -2, 0, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -2, 0, 0, 2, 0, 0, 4, 0, 0, 0, 0, -1, 1, 0, -1, -2, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, -2, 1, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, -1, -2, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, -2, 0, 0, -2, 0, 0, 0, 0, 0, -1, 0, 1, 0, 0, 0, -2, 0, -1, 0, 0, 4, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -1, -2, 0, 0, 2, 0, 0, 0, 0, 1, 0, 0, 0, -1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 2, 0, 0, 0, -2, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, -1, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, 4, 0, 0, -2, 0, -2, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, -2, 0, -2, 0, 0, 0, 1, 0, -1, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, 0, -1, 2, 0, 0, 1, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, -4, -1, 0, 0, -1, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, 4, 0, 0, -2, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 1, -1, 0, -2, 0, 0, 0, 4, 0, 0, 0, 0, 0, 1, 0, 0, -1, 0, 0, 4, 0, 4, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, -1, 0, -2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 2, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 1, 0, 0, 0, -2, 0, 4, 0, 0, 0, -1, 0, 0, -2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, -1, -2, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, -2, 1, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, -1, 0, 0, -2, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, 4, 0, 0, 0, 0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, -2, 0, -1, 0, 0, 0, -1, 0, 0, 0, 0, -2, 0, 0, 1, 1, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 1, 1, 0, 0, 1, 0, 2, 0, 0, 4, 1, 0, 0, 0, 0, 0, 4, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -1, -2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, -2, 0, -2, 0, 0, 0, 2, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, 0, 1, 0, -2, 1, 0, 0, 0, 0, -2, 0, 0, 0, 2, 0, 0, 1, 0, 0, 1, 0, 1, 0, 0, 0, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -1, -1, 0, 0, -1, 0, 1, 0, 0, 1, -2, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 2, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, 1, 0, 0, 0, 0, -2, 0, 0, 0, 1, 0, 0, -2, 0, 1, 0, 0, 0, -1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, 0, 0, 0, 2, 2, 0, 1, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, -2, 0, 0, 0, -2, 0, 2, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 95975
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '111.1.i.a', 'target_level': 111, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 95976
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -3, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '111.1.i.a', 'target_level': 111, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 95977
{'conductor': 37, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '111.1.i.a', 'target_level': 111, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '37.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 95978
{'conductor': 111, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '111.1.i.a', 'target_level': 111, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '111.i', 'twisting_char_orbit': 9, 'weight': 1}
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id: 95979
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 49, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1776.1.bw.a', 'target_level': 1776, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 95980
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 49, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1776.1.bw.a', 'target_level': 1776, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 95981
{'conductor': 148, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 49, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1776.1.bw.a', 'target_level': 1776, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '148.i', 'twisting_char_orbit': 9, 'weight': 1}
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id: 95982
{'conductor': 444, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 49, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1776.1.bw.a', 'target_level': 1776, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '444.t', 'twisting_char_orbit': 20, 'weight': 1}
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id: 95983
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.x.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 95984
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.x.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 95985
{'conductor': 185, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.x.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '185.s', 'twisting_char_orbit': 19, 'weight': 1}
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id: 95986
{'conductor': 555, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 24, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.x.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '555.bi', 'twisting_char_orbit': 35, 'weight': 1}
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id: 95987
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 26, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.z.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 95988
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 26, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.z.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 95989
{'conductor': 185, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 26, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.z.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '185.n', 'twisting_char_orbit': 14, 'weight': 1}
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id: 95990
{'conductor': 555, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 26, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2775.1.z.a', 'target_level': 2775, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '555.w', 'twisting_char_orbit': 23, 'weight': 1}
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id: 95991
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.l.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 95992
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.l.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 95993
{'conductor': 333, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.l.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '333.g', 'twisting_char_orbit': 7, 'weight': 1}
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id: 95994
{'conductor': 333, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 12, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.l.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '333.u', 'twisting_char_orbit': 21, 'weight': 1}
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id: 95995
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 21, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.u.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 95996
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 21, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.u.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 95997
{'conductor': 333, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 21, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.u.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '333.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 95998
{'conductor': 333, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '111.1.i.a', 'source_level': 111, 'target_char_orbit': 21, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2997.1.u.a', 'target_level': 2997, 'twist_class_label': '111.1.i.a', 'twist_class_level': 111, 'twisting_char_label': '333.l', 'twisting_char_orbit': 12, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 318400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 2}
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id: 318401
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 549772591215, 'p': 3}
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id: 318402
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 5}
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id: 318403
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 549772591215, 'p': 7}
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id: 318404
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 11}
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id: 318405
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 549772591215, 'p': 13}
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id: 318406
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 17}
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id: 318407
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 549772591215, 'p': 19}
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id: 318408
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 23}
-
id: 318409
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 29}
-
id: 318410
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 31}
-
id: 318411
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 37}
-
id: 318412
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 41}
-
id: 318413
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 43}
-
id: 318414
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 47}
-
id: 318415
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 53}
-
id: 318416
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 59}
-
id: 318417
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 549772591215, 'p': 61}
-
id: 318418
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 549772591215, 'p': 67}
-
id: 318419
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 71}
-
id: 318420
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 73}
-
id: 318421
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 549772591215, 'p': 79}
-
id: 318422
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 83}
-
id: 318423
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 89}
-
id: 318424
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 549772591215, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '111.1.i.a', 'level': 111, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 9717636
{'hecke_orbit_code': 549772591215, 'n': 1, 'trace_an': 2}
-
id: 9717637
{'hecke_orbit_code': 549772591215, 'n': 2, 'trace_an': 0}
-
id: 9717638
{'hecke_orbit_code': 549772591215, 'n': 3, 'trace_an': -1}
-
id: 9717639
{'hecke_orbit_code': 549772591215, 'n': 4, 'trace_an': -1}
-
id: 9717640
{'hecke_orbit_code': 549772591215, 'n': 5, 'trace_an': 0}
-
id: 9717641
{'hecke_orbit_code': 549772591215, 'n': 6, 'trace_an': 0}
-
id: 9717642
{'hecke_orbit_code': 549772591215, 'n': 7, 'trace_an': 1}
-
id: 9717643
{'hecke_orbit_code': 549772591215, 'n': 8, 'trace_an': 0}
-
id: 9717644
{'hecke_orbit_code': 549772591215, 'n': 9, 'trace_an': -1}
-
id: 9717645
{'hecke_orbit_code': 549772591215, 'n': 10, 'trace_an': 0}
-
id: 9717646
{'hecke_orbit_code': 549772591215, 'n': 11, 'trace_an': 0}
-
id: 9717647
{'hecke_orbit_code': 549772591215, 'n': 12, 'trace_an': -1}
-
id: 9717648
{'hecke_orbit_code': 549772591215, 'n': 13, 'trace_an': 1}
-
id: 9717649
{'hecke_orbit_code': 549772591215, 'n': 14, 'trace_an': 0}
-
id: 9717650
{'hecke_orbit_code': 549772591215, 'n': 15, 'trace_an': 0}
-
id: 9717651
{'hecke_orbit_code': 549772591215, 'n': 16, 'trace_an': -1}
-
id: 9717652
{'hecke_orbit_code': 549772591215, 'n': 17, 'trace_an': 0}
-
id: 9717653
{'hecke_orbit_code': 549772591215, 'n': 18, 'trace_an': 0}
-
id: 9717654
{'hecke_orbit_code': 549772591215, 'n': 19, 'trace_an': -2}
-
id: 9717655
{'hecke_orbit_code': 549772591215, 'n': 20, 'trace_an': 0}
-
id: 9717656
{'hecke_orbit_code': 549772591215, 'n': 21, 'trace_an': 1}
-
id: 9717657
{'hecke_orbit_code': 549772591215, 'n': 22, 'trace_an': 0}
-
id: 9717658
{'hecke_orbit_code': 549772591215, 'n': 23, 'trace_an': 0}
-
id: 9717659
{'hecke_orbit_code': 549772591215, 'n': 24, 'trace_an': 0}
-
id: 9717660
{'hecke_orbit_code': 549772591215, 'n': 25, 'trace_an': -1}
-
id: 9717661
{'hecke_orbit_code': 549772591215, 'n': 26, 'trace_an': 0}
-
id: 9717662
{'hecke_orbit_code': 549772591215, 'n': 27, 'trace_an': 2}
-
id: 9717663
{'hecke_orbit_code': 549772591215, 'n': 28, 'trace_an': 1}
-
id: 9717664
{'hecke_orbit_code': 549772591215, 'n': 29, 'trace_an': 0}
-
id: 9717665
{'hecke_orbit_code': 549772591215, 'n': 30, 'trace_an': 0}
-
id: 9717666
{'hecke_orbit_code': 549772591215, 'n': 31, 'trace_an': -2}
-
id: 9717667
{'hecke_orbit_code': 549772591215, 'n': 32, 'trace_an': 0}
-
id: 9717668
{'hecke_orbit_code': 549772591215, 'n': 33, 'trace_an': 0}
-
id: 9717669
{'hecke_orbit_code': 549772591215, 'n': 34, 'trace_an': 0}
-
id: 9717670
{'hecke_orbit_code': 549772591215, 'n': 35, 'trace_an': 0}
-
id: 9717671
{'hecke_orbit_code': 549772591215, 'n': 36, 'trace_an': 2}
-
id: 9717672
{'hecke_orbit_code': 549772591215, 'n': 37, 'trace_an': 2}
-
id: 9717673
{'hecke_orbit_code': 549772591215, 'n': 38, 'trace_an': 0}
-
id: 9717674
{'hecke_orbit_code': 549772591215, 'n': 39, 'trace_an': 1}
-
id: 9717675
{'hecke_orbit_code': 549772591215, 'n': 40, 'trace_an': 0}
-
id: 9717676
{'hecke_orbit_code': 549772591215, 'n': 41, 'trace_an': 0}
-
id: 9717677
{'hecke_orbit_code': 549772591215, 'n': 42, 'trace_an': 0}
-
id: 9717678
{'hecke_orbit_code': 549772591215, 'n': 43, 'trace_an': -2}
-
id: 9717679
{'hecke_orbit_code': 549772591215, 'n': 44, 'trace_an': 0}
-
id: 9717680
{'hecke_orbit_code': 549772591215, 'n': 45, 'trace_an': 0}
-
id: 9717681
{'hecke_orbit_code': 549772591215, 'n': 46, 'trace_an': 0}
-
id: 9717682
{'hecke_orbit_code': 549772591215, 'n': 47, 'trace_an': 0}
-
id: 9717683
{'hecke_orbit_code': 549772591215, 'n': 48, 'trace_an': 2}
-
id: 9717684
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