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mf_newforms • Show schema
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{'Nk2': 435, 'analytic_conductor': 0.21709328049535603, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 435, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [435, 2, [146, 262, 31], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 434, 'dim': 4, 'field_disc': 256, 'field_disc_factorization': [[2, 8]], 'field_poly': [1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 8, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 68736254387, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 8, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 145, 4, 1, 2, 145], [1, 1, 3, 2, -1, 2, 0], [1, 1, 5, 2, 1, 2, 0], [1, 1, 15, 4, -1, 2, 0], [1, 1, 29, 2, 1, 2, 0], [1, 1, 87, 4, -1, 2, 0], [1, 1, 435, 2, -1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': True, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '435.1.b.a', 'level': 435, '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, 5, 29], 'level_radical': 435, 'minimal_twist': '435.1.b.a', 'nf_label': '4.0.256.1', 'prim_orbit_index': 2, 'projective_field': [19, -2, 8, -1, 1], 'projective_field_label': '4.0.6525.1', 'projective_image': 'D4', 'projective_image_type': 'Dn', 'qexp_display': 'q+(\\zeta_{8}+\\zeta_{8}^{3})q^{2}-\\zeta_{8}q^{3}-q^{4}+\\zeta_{8}^{2}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [145], 'self_twist_discs': [145], 'self_twist_type': 2, 'space_label': '435.1.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2186266365760145150, 'trace_moments': 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mf_hecke_nf • Show schema
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{'an': [[[1, 0]], [[1, 1], [1, 3]], [[-1, 1]], [[-1, 0]], [[1, 2]], [[1, 0], [-1, 2]], [], [], [[1, 2]], [[-1, 1], [1, 3]], [], [[1, 1]], [], [], [[-1, 3]], [[-1, 0]], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [], [[-1, 2]], [], [], [], [], [[-1, 0]], [], [[-1, 3]], [], [[-1, 2]], [[1, 0], [1, 2]], [], [[-1, 1], [-1, 3]], [], [[-2, 0], [1, 2], [-1, 2]], [], [[-1, 2]], [[1, 1], [-1, 3]], [], [], [], [], [], [[1, 1], [-1, 3]], [], [[-1, 0]], [], [[-1, 1], [-1, 3]], [[1, 1]], [[1, 0]], [[-1, 1], [-1, 3]], [[1, 0], [-1, 2]], [], [], [[1, 0], [1, 2]], [], [], [], [[1, 1], [-1, 3]], [[-1, 2], [-1, 2]], [[1, 3]], [], [], [], [[1, 0]], [], [], [], [[-1, 1], [-1, 3]], [], [], [[1, 2], [1, 2]], [], [[-1, 1], [1, 3]], [[1, 2], [1, 2]], [[1, 1]], [], [], [], [], [[-1, 2]], [[-1, 0]], [], [], [], [[-1, 1], [1, 3]], [[1, 2], [1, 2]], [[1, 3]], [], [], [[-1, 1], [-1, 3]], [], [], [], [[2, 0], [-1, 2], [1, 2]], [], [[-1, 0], [1, 2]], [[-1, 1], [1, 3]], [[1, 1], [1, 3]], [], [[1, 0]]], 'ap': [[[1, 1], [1, 3]], [[-1, 1]], [[1, 2]], [], [], [], [[1, 1], [1, 3]], [], [], [[-1, 2]], [], [[1, 1], [-1, 3]], [], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [], [[-1, 2], [-1, 2]], [], [], [[1, 2], [1, 2]], [[-1, 1], [1, 3]], [], [], [], [[-1, 1], [1, 3]], [], [], [], [[1, 0], [1, 0]], [[-1, 1], [-1, 3]], [[1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [[-1, 0], [-1, 0]], [], [], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [], [], [], [], [], [[-1, 1], [1, 3]], [], [], [], [], [], [], [], [[1, 2], [1, 2]], [], [], [], [[-1, 1], [-1, 3]], [], [], [], [], [], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [], [], [[-1, 1], [-1, 3]], [], [[1, 1], [-1, 3]], [], [], [], [], [[-1, 1], [1, 3]], [], [], [], [], [], [[-1, 2], [-1, 2]], [], [[-1, 2], [-1, 2]], [], [], [[-1, 1], [1, 3]], [], [[-1, 1], [-1, 3]], [], [], [], [], [[-1, 1], [-1, 3]], [], [], [], [[-1, 0], [-1, 0]], [[1, 1], [1, 3]], [], [], [], [], [], [], [[1, 1], [1, 3]], [], [[-1, 0], [-1, 0]], [[1, 1], [-1, 3]], [], [], [], [], [[1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [], [[-1, 0], [-1, 0]], [], [], [], [[-1, 1], [-1, 3]], [], [], [], [[-1, 1], [-1, 3]], [], [], [[-1, 2], [-1, 2]], [[-1, 0], [-1, 0]], [[-1, 2], [-1, 2]], [[-1, 1], [1, 3]], [[1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [], [[1, 1], [-1, 3]], [[1, 2], [1, 2]], [], [[-1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [], [[1, 0], [1, 0]], [], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [], [], [[1, 1], [-1, 3]], [], [], [], [], [], [], [[1, 1], [1, 3]], [[-1, 1], [1, 3]], [], [], [], [], [], [[1, 1], [1, 3]], [], [[-1, 1], [1, 3]], [], [], [[1, 1], [1, 3]], [], [[-1, 1], [1, 3]], [], [[1, 1], [1, 3]], [[1, 2], [1, 2]], [[1, 0], [1, 0]], [[-1, 2], [-1, 2]], [[1, 1], [-1, 3]], [], [], [], [], [[1, 1], [-1, 3]], [], [[1, 1], [-1, 3]], [], [], [], [], [], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [], [], [], [[1, 1], [1, 3]], [], [], [[1, 1], [1, 3]], [], [], [], [], [], [], [[1, 0], [1, 0]], [[-1, 1], [1, 3]], [], [], [], [], [], [], [], [[1, 1], [-1, 3]], [], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [], [[-1, 0], [-1, 0]], [], [], [], [[-1, 1], [-1, 3]], [], [[1, 0], [1, 0]], [], [[-1, 1], [1, 3]], [], [], [[-1, 1], [-1, 3]], [], [[1, 1], [-1, 3]], [[1, 2], [1, 2]], [[1, 1], [-1, 3]], [], [], [], [], [[1, 1], [1, 3]], [], [[1, 1], [1, 3]], [], [], [[1, 1], [1, 3]], [], [], [], [], [], [], [[1, 2], [1, 2]], [], [[-1, 1], [-1, 3]], [[-1, 1], [1, 3]], [[-1, 2], [-1, 2]], [[-1, 1], [-1, 3]], [], [[1, 1], [1, 3]], [], [], [[-1, 1], [1, 3]], [], [], [[1, 1], [-1, 3]], [[1, 1], [1, 3]], [[-1, 0], [-1, 0]], [[1, 1], [-1, 3]], [[-1, 1], [-1, 3]], [], [], [], [[1, 1], [-1, 3]], [], [], [], [], [], [[-1, 1], [1, 3]], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [], [], [[1, 2], [1, 2]], [], [[-1, 0], [-1, 0]], [], [[-1, 0], [-1, 0]], [[-1, 1], [1, 3]], [], [[-1, 1], [1, 3]], [[-1, 1], [-1, 3]], [[1, 0], [1, 0]], [[1, 2], [1, 2]], [[1, 2], [1, 2]], [], [], [], [[-1, 1], [1, 3]], [[-1, 2], [-1, 2]], [], [], [[-1, 2], [-1, 2]], [[1, 1], [-1, 3]], [[-1, 1], [1, 3]], [], []], 'char_orbit_index': 2, 'field_poly': [1, 0, 0, 0, 1], 'hecke_orbit_code': 68736254387, 'hecke_ring_character_values': [[146, [[-1, 0]]], [262, [[-1, 0]]], [31, [[-1, 0]]]], 'hecke_ring_cyclotomic_generator': 8, 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '435.1.b.a', 'level': 435, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
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{'Nk2': 435, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.21709328049535603, 'char_conductor': 435, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': -1, 'char_values': [435, 2, [146, 262, 31], [1, 1, 1]], 'conrey_index': 434, 'cusp_dim': 4, 'dihedral_dim': 4, 'dim': 4, 'eis_dim': 4, 'eis_new_dim': 4, 'hecke_orbit_code': 68736254387, 'hecke_orbit_dims': [4], 'label': '435.1.b', 'level': 435, '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, 5, 29], 'level_radical': 435, 'mf_dim': 8, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 2, 'relative_dim': 4, 's4_dim': 0, 'sturm_bound': 60, 'trace_bound': 0, 'trace_display': [0, 0, 0, 0], 'traces': [4, 0, 0, -4, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 4, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 4, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, -4, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 8, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 4, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, 0, 8, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 4, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 317301
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 317302
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 317303
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 317304
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 317305
{'conductor': 29, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '29.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 317306
{'conductor': 87, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '87.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 317307
{'conductor': 145, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 145, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '145.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 317308
{'conductor': 435, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '435.1.b.a', 'target_level': 435, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '435.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 317309
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 317310
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 317311
{'conductor': 145, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '145.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 317312
{'conductor': 435, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '435.1.b.a', 'source_level': 435, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2175.1.h.g', 'target_level': 2175, 'twist_class_label': '435.1.b.a', 'twist_class_level': 435, 'twisting_char_label': '435.p', 'twisting_char_orbit': 16, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 882775
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 2}
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id: 882776
{'charpoly_factorization': [[[1, 0, 0, 0, 1], 1]], 'hecke_orbit_code': 68736254387, 'p': 3}
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id: 882777
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 5}
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id: 882778
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 7}
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id: 882779
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 11}
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id: 882780
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 13}
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id: 882781
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 17}
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id: 882782
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 19}
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id: 882783
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 23}
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id: 882784
{'charpoly_factorization': [[[1, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 29}
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id: 882785
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 31}
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id: 882786
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 37}
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id: 882787
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 41}
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id: 882788
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 43}
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id: 882789
{'charpoly_factorization': [[[2, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 47}
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id: 882790
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 53}
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id: 882791
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 59}
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id: 882792
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 61}
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id: 882793
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 67}
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id: 882794
{'charpoly_factorization': [[[4, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 71}
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id: 882795
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 73}
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id: 882796
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 79}
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id: 882797
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 83}
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id: 882798
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 68736254387, 'p': 89}
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id: 882799
{'charpoly_factorization': [[[-2, 0, 1], 2]], 'hecke_orbit_code': 68736254387, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 2, 'hecke_orbit': 1, 'label': '435.1.b.a', 'level': 435, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 4287733
{'hecke_orbit_code': 68736254387, 'n': 1, 'trace_an': 4}
-
id: 4287734
{'hecke_orbit_code': 68736254387, 'n': 2, 'trace_an': 0}
-
id: 4287735
{'hecke_orbit_code': 68736254387, 'n': 3, 'trace_an': 0}
-
id: 4287736
{'hecke_orbit_code': 68736254387, 'n': 4, 'trace_an': -4}
-
id: 4287737
{'hecke_orbit_code': 68736254387, 'n': 5, 'trace_an': 0}
-
id: 4287738
{'hecke_orbit_code': 68736254387, 'n': 6, 'trace_an': 4}
-
id: 4287739
{'hecke_orbit_code': 68736254387, 'n': 7, 'trace_an': 0}
-
id: 4287740
{'hecke_orbit_code': 68736254387, 'n': 8, 'trace_an': 0}
-
id: 4287741
{'hecke_orbit_code': 68736254387, 'n': 9, 'trace_an': 0}
-
id: 4287742
{'hecke_orbit_code': 68736254387, 'n': 10, 'trace_an': 0}
-
id: 4287743
{'hecke_orbit_code': 68736254387, 'n': 11, 'trace_an': 0}
-
id: 4287744
{'hecke_orbit_code': 68736254387, 'n': 12, 'trace_an': 0}
-
id: 4287745
{'hecke_orbit_code': 68736254387, 'n': 13, 'trace_an': 0}
-
id: 4287746
{'hecke_orbit_code': 68736254387, 'n': 14, 'trace_an': 0}
-
id: 4287747
{'hecke_orbit_code': 68736254387, 'n': 15, 'trace_an': 0}
-
id: 4287748
{'hecke_orbit_code': 68736254387, 'n': 16, 'trace_an': -4}
-
id: 4287749
{'hecke_orbit_code': 68736254387, 'n': 17, 'trace_an': 0}
-
id: 4287750
{'hecke_orbit_code': 68736254387, 'n': 18, 'trace_an': 0}
-
id: 4287751
{'hecke_orbit_code': 68736254387, 'n': 19, 'trace_an': 0}
-
id: 4287752
{'hecke_orbit_code': 68736254387, 'n': 20, 'trace_an': 0}
-
id: 4287753
{'hecke_orbit_code': 68736254387, 'n': 21, 'trace_an': 0}
-
id: 4287754
{'hecke_orbit_code': 68736254387, 'n': 22, 'trace_an': 0}
-
id: 4287755
{'hecke_orbit_code': 68736254387, 'n': 23, 'trace_an': 0}
-
id: 4287756
{'hecke_orbit_code': 68736254387, 'n': 24, 'trace_an': 0}
-
id: 4287757
{'hecke_orbit_code': 68736254387, 'n': 25, 'trace_an': -4}
-
id: 4287758
{'hecke_orbit_code': 68736254387, 'n': 26, 'trace_an': 0}
-
id: 4287759
{'hecke_orbit_code': 68736254387, 'n': 27, 'trace_an': 0}
-
id: 4287760
{'hecke_orbit_code': 68736254387, 'n': 28, 'trace_an': 0}
-
id: 4287761
{'hecke_orbit_code': 68736254387, 'n': 29, 'trace_an': 0}
-
id: 4287762
{'hecke_orbit_code': 68736254387, 'n': 30, 'trace_an': 4}
-
id: 4287763
{'hecke_orbit_code': 68736254387, 'n': 31, 'trace_an': 0}
-
id: 4287764
{'hecke_orbit_code': 68736254387, 'n': 32, 'trace_an': 0}
-
id: 4287765
{'hecke_orbit_code': 68736254387, 'n': 33, 'trace_an': 0}
-
id: 4287766
{'hecke_orbit_code': 68736254387, 'n': 34, 'trace_an': -8}
-
id: 4287767
{'hecke_orbit_code': 68736254387, 'n': 35, 'trace_an': 0}
-
id: 4287768
{'hecke_orbit_code': 68736254387, 'n': 36, 'trace_an': 0}
-
id: 4287769
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{'hecke_orbit_code': 68736254387, 'n': 947, 'trace_an': 0}
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id: 4287983
{'hecke_orbit_code': 68736254387, 'n': 953, 'trace_an': 0}
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id: 4287984
{'hecke_orbit_code': 68736254387, 'n': 961, 'trace_an': 4}
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id: 4287985
{'hecke_orbit_code': 68736254387, 'n': 967, 'trace_an': 0}
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id: 4287986
{'hecke_orbit_code': 68736254387, 'n': 971, 'trace_an': 0}
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id: 4287987
{'hecke_orbit_code': 68736254387, 'n': 977, 'trace_an': 0}
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id: 4287988
{'hecke_orbit_code': 68736254387, 'n': 983, 'trace_an': 0}
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id: 4287989
{'hecke_orbit_code': 68736254387, 'n': 991, 'trace_an': 0}
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id: 4287990
{'hecke_orbit_code': 68736254387, 'n': 997, 'trace_an': 0}