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mf_newforms • Show schema
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{'Nk2': 3751, 'analytic_conductor': 1.871992862386392, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 341, 'char_degree': 8, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 56, 'char_orbit_label': 'cd', 'char_order': 30, 'char_parity': -1, 'char_values': [3751, 30, [2543, 2421], [3, 4]], 'cm_discs': [-11], 'conrey_index': 112, 'dim': 8, 'field_disc': 1265625, 'field_disc_factorization': [[3, 4], [5, 6]], 'field_poly': [1, -1, 0, 1, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 15, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 3779588001447, 'hecke_ring_generator_nbound': 4, '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, 11, 2, -1, 2, -11], [1, 1, 341, 37, 1, 15, 0], [1, 1, 341, 52, -1, 30, 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': False, 'label': '3751.1.cd.a', 'level': 3751, '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': [11, 31], 'level_radical': 341, 'minimal_twist': '341.1.by.a', 'nf_label': '8.0.1265625.1', 'prim_orbit_index': 52, 'projective_field': [-26318, 27369, -287160, 108650, -151524, 111751, -58974, 15939, 1528, -1401, 802, -85, 42, 6, -2, 1], 'projective_image': 'D15', 'projective_image_type': 'Dn', 'qexp_display': 'q+(-\\zeta_{30}^{5}-\\zeta_{30}^{11})q^{3}-\\zeta_{30}^{3}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-11], 'self_twist_type': 1, 'space_label': '3751.1.cd', 'trace_display': [0, -3, -1, 0], 'trace_hash': 870378653624236441, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3751, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 1.871992862386392, 'char_conductor': 341, 'char_degree': 8, 'char_is_real': False, 'char_orbit_index': 56, 'char_orbit_label': 'cd', 'char_order': 30, 'char_parity': -1, 'char_values': [3751, 30, [2543, 2421], [3, 4]], 'conrey_index': 112, 'cusp_dim': 8, 'dihedral_dim': 8, 'dim': 8, 'eis_dim': 96, 'eis_new_dim': 64, 'hecke_orbit_code': 3779588001447, 'hecke_orbit_dims': [8], 'label': '3751.1.cd', 'level': 3751, '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': [11, 31], 'level_radical': 341, 'mf_dim': 104, 'mf_new_dim': 72, 'num_forms': 1, 'prim_orbit_index': 52, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 352, 'trace_bound': 0, 'trace_display': [0, -3, -1, 0], 'traces': [8, 0, -3, -2, -1, 0, 0, 0, -2, 0, 0, 2, 0, 0, 4, -2, 0, 0, 0, -1, 0, 0, -3, 0, 0, 0, 2, 0, 0, 0, 1, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, -8, 0, 2, 2, 1, 0, 0, 0, -6, 0, 0, 0, 0, 0, -1, -1, 0, 0, 0, -2, 0, 0, -1, 0, -7, 0, 4, 0, 0, 0, -5, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, 2, 2, 0, 0, 0, 2, 0, 0, -5, 0, 0, -3, 0, 0, 0, 0, 2, 0, 0, -2, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 1, -7, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, -3, 0, 0, 0, 8, 0, 0, 3, 0, 0, -4, -1, 0, 0, 0, 0, 0, 0, 2, 0, -8, 0, -1, 0, 0, 0, 2, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -2, 0, -1, 7, 9, 0, 0, 0, -2, 0, 0, -3, 0, 0, 2, -3, 0, 0, 0, 1, 0, 0, -6, 0, -1, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 9, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 9, 0, 10, 0, 0, 0, -3, 0, 0, 0, 0, 0, 6, -6, 0, 0, 0, -1, 0, 0, -4, 0, -1, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, -2, -1, 0, 0, 0, 0, 0, 0, 0, 11, 0, -2, -1, -1, 0, 0, 0, 0, 0, 0, 8, 0, 0, 4, 0, 0, 0, 0, -1, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, -7, 0, 0, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 6, 0, -1, 0, 0, 0, 2, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 6, 0, -4, 0, 0, 0, -1, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -1, 0, 1, -8, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -1, 2, 0, 0, 0, 2, 0, 0, 7, 0, 0, 0, 2, 0, 0, 0, 4, 0, 0, 0, 0, -3, 9, 0, 0, 0, 0, 0, 0, 0, 2, 0, 0, -5, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 2, 0, 0, 0, 0, 0, 0, 2, 0, -1, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, -8, -3, 0, 0, 0, 0, 0, 0, 0, 3, 0, -6, 3, -9, 0, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 11, 0, 0, -4, 0, 8, 0, -4, 0, 0, 0, 3, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 0, -2, 0, 0, 0, 0, 0, 0, 1, 0, 0, -1, -7, 0, 0, 0, 0, 0, 0, -3, 0, -1, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, -5, 0, 1, 0, 0, 0, 0, 0, 8, 0, 0, -9, 0, 0, -6, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 7, 0, 0, 0, 0, 0, 0, 0, 0, -7, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, 10, -2, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 6, 0, 0, 0, -1, 0, 0, 0, 0, -1, 0, 9, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 2, 3, 0, 0, 0, -6, 0, 0, 2, 0, 0, -1, 0, 0, 0, 0, -1, 0, 0, 2, 0, -1, 0, -8, 0, 0, 0, 2, 0, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, -3, 0, 0, 0, 0, 0, 0, 0, -7, 0, 0, 0, 0, 0, -10, 1, 0, 0, 0, 0, 0, 0, 2, 0, -7, 0, -1, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -14, 0, 0, 8, -3, 0, 0, 0, -1, 0, 0, -1, 0, 0, -3, -8, 0, 0, 0, -1, 0, 0, -1, 0, 6, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 3, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1, -3, -2, 0, 0, 0, 9, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 2, 0, 0, 4, 0, 2, 0, 10, 0, 0, 0, 0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, -3, -1, -1, 0, 0, 0, -3, 0, 0, -1, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 2, 6, 0, 0, 0, 0, 0, 0, 0, -1, 0, 2, 0, -2, 0, 0, 0, -3, 0, 0, -1, 0, 0, 1, 4, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, -1, 0, 0, 0, 6, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 2, 0, 6, 0, 7, 0, 0, 0, 0, 0, 0, -1, 0, 0, 8, 0, 0, 0, 0, -10, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, 2, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 5, 0, -4, 0, -3, 0, 0, 0, -1, 0, 0, 0, 0, 0, -7, -4, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0, 8, 0, 0, 0, 0, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 4, 1, 0, 0, 0, 0, 2, 0, 0, 9, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, -8, 0, -1, 0, 1, 0, 0, 0, -4, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 30471605
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 1371, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588001447, 'target_is_minimal': False, 'target_label': '3751.1.cd.a.1371.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 30471606
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 3603, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3848307478183, 'target_is_minimal': False, 'target_label': '3751.1.ce.a.3603.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 30471607
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3367271141031, 'target_is_minimal': False, 'target_label': '3751.1.bx.a.844.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 30471608
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 596, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2954954280615, 'target_is_minimal': False, 'target_label': '3751.1.br.a.596.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 30471609
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 131, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3435990614357, 'target_is_minimal': True, 'target_label': '341.1.by.a.131.1', 'target_level': 341, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 30471610
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 131, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3435990614357, 'target_is_minimal': True, 'target_label': '341.1.by.a.131.1', 'target_level': 341, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.6', 'twisting_conrey_index': 6, 'weight': 1}
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id: 30471611
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 596, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2954954280615, 'target_is_minimal': False, 'target_label': '3751.1.br.a.596.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.7', 'twisting_conrey_index': 7, 'weight': 1}
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id: 30471612
{'conductor': 11, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 844, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3367271141031, 'target_is_minimal': False, 'target_label': '3751.1.bx.a.844.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.8', 'twisting_conrey_index': 8, 'weight': 1}
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id: 30471613
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 3603, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3848307478183, 'target_is_minimal': False, 'target_label': '3751.1.ce.a.3603.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 1}
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id: 30471614
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 1371, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588001447, 'target_is_minimal': False, 'target_label': '3751.1.cd.a.1371.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 1}
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id: 30471615
{'conductor': 31, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 40, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3367271141031, 'target_is_minimal': False, 'target_label': '3751.1.bx.a.40.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '31.9', 'twisting_conrey_index': 9, 'weight': 1}
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id: 30471616
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 1495, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 16836288580605, 'target_is_minimal': False, 'target_label': '3069.1.jl.a.1495.1', 'target_level': 3069, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '33.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 30471617
{'conductor': 33, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 1495, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 16836288580605, 'target_is_minimal': False, 'target_label': '3069.1.jl.a.1495.1', 'target_level': 3069, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '33.17', 'twisting_conrey_index': 17, 'weight': 1}
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id: 30471618
{'conductor': 341, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 2272, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2954954280615, 'target_is_minimal': False, 'target_label': '3751.1.br.a.2272.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.9', 'twisting_conrey_index': 9, 'weight': 1}
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id: 30471619
{'conductor': 341, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 3016, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3848307478183, 'target_is_minimal': False, 'target_label': '3751.1.ce.a.3016.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.40', 'twisting_conrey_index': 40, 'weight': 1}
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id: 30471620
{'conductor': 341, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 164, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3435990614357, 'target_is_minimal': True, 'target_label': '341.1.by.a.164.1', 'target_level': 341, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.71', 'twisting_conrey_index': 71, 'weight': 1}
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id: 30471621
{'conductor': 341, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 3264, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588001447, 'target_is_minimal': False, 'target_label': '3751.1.cd.a.3264.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.102', 'twisting_conrey_index': 102, 'weight': 1}
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id: 30471622
{'conductor': 341, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 40, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3367271141031, 'target_is_minimal': False, 'target_label': '3751.1.bx.a.40.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.164', 'twisting_conrey_index': 164, 'weight': 1}
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id: 30471623
{'conductor': 341, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 3264, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588001447, 'target_is_minimal': False, 'target_label': '3751.1.cd.a.3264.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.195', 'twisting_conrey_index': 195, 'weight': 1}
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id: 30471624
{'conductor': 341, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 164, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3435990614357, 'target_is_minimal': True, 'target_label': '341.1.by.a.164.1', 'target_level': 341, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.226', 'twisting_conrey_index': 226, 'weight': 1}
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id: 30471625
{'conductor': 341, 'degree': 8, 'order': 15, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 3016, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3848307478183, 'target_is_minimal': False, 'target_label': '3751.1.ce.a.3016.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.257', 'twisting_conrey_index': 257, 'weight': 1}
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id: 30471626
{'conductor': 341, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 2272, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2954954280615, 'target_is_minimal': False, 'target_label': '3751.1.br.a.2272.1', 'target_level': 3751, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '341.288', 'twisting_conrey_index': 288, 'weight': 1}
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id: 30471627
{'conductor': 1023, 'degree': 8, 'order': 30, 'parity': -1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 505, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 16836288580605, 'target_is_minimal': False, 'target_label': '3069.1.jl.a.505.1', 'target_level': 3069, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '1023.71', 'twisting_conrey_index': 71, 'weight': 1}
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id: 30471628
{'conductor': 1023, 'degree': 8, 'order': 30, 'parity': 1, 'source_conrey_index': 1371, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 3779588001447, 'source_is_minimal': False, 'source_label': '3751.1.cd.a.1371.1', 'source_level': 3751, 'target_conrey_index': 505, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 16836288580605, 'target_is_minimal': False, 'target_label': '3069.1.jl.a.505.1', 'target_level': 3069, 'twist_class_label': '341.1.by.a.131.1', 'twist_class_level': 341, 'twisting_char_label': '1023.908', 'twisting_conrey_index': 908, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3341400
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 2}
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id: 3341401
{'charpoly_factorization': [[[1, 2, 0, 2, 9, 8, 5, 3, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 3}
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id: 3341402
{'charpoly_factorization': [[[1, -9, 20, 4, 9, 4, 0, 1, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 5}
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id: 3341403
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 7}
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id: 3341404
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 11}
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id: 3341405
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 13}
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id: 3341406
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 17}
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id: 3341407
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 19}
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id: 3341408
{'charpoly_factorization': [[[1, -7, 18, 11, 15, 11, 8, 3, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 23}
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id: 3341409
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 29}
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id: 3341410
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 31}
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id: 3341411
{'charpoly_factorization': [[[1, 1, 0, -1, -1, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 37}
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id: 3341412
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 41}
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id: 3341413
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 43}
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id: 3341414
{'charpoly_factorization': [[[1, 3, 23, 1, 0, 1, 3, -2, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 47}
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id: 3341415
{'charpoly_factorization': [[[1, 11, 45, 74, 69, 44, 20, 6, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 53}
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id: 3341416
{'charpoly_factorization': [[[1, -4, 20, 14, 19, 4, 5, 1, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 59}
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id: 3341417
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 61}
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id: 3341418
{'charpoly_factorization': [[[1, -4, 20, 14, 19, 4, 5, 1, 1], 1]], 'hecke_orbit_code': 3779588001447, 'p': 67}
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id: 3341419
{'charpoly_factorization': [[[1, -1, 1], 4]], 'hecke_orbit_code': 3779588001447, 'p': 71}
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id: 3341420
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 73}
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id: 3341421
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 79}
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id: 3341422
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 3779588001447, 'p': 83}
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id: 3341423
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 3779588001447, 'p': 89}
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id: 3341424
{'charpoly_factorization': [[[1, 4, -4, -1, 1], 2]], 'hecke_orbit_code': 3779588001447, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 56, 'hecke_orbit': 1, 'label': '3751.1.cd.a', 'level': 3751, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 15254574
{'hecke_orbit_code': 3779588001447, 'n': 1, 'trace_an': 8}
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id: 15254575
{'hecke_orbit_code': 3779588001447, 'n': 2, 'trace_an': 0}
-
id: 15254576
{'hecke_orbit_code': 3779588001447, 'n': 3, 'trace_an': -3}
-
id: 15254577
{'hecke_orbit_code': 3779588001447, 'n': 4, 'trace_an': -2}
-
id: 15254578
{'hecke_orbit_code': 3779588001447, 'n': 5, 'trace_an': -1}
-
id: 15254579
{'hecke_orbit_code': 3779588001447, 'n': 6, 'trace_an': 0}
-
id: 15254580
{'hecke_orbit_code': 3779588001447, 'n': 7, 'trace_an': 0}
-
id: 15254581
{'hecke_orbit_code': 3779588001447, 'n': 8, 'trace_an': 0}
-
id: 15254582
{'hecke_orbit_code': 3779588001447, 'n': 9, 'trace_an': -2}
-
id: 15254583
{'hecke_orbit_code': 3779588001447, 'n': 10, 'trace_an': 0}
-
id: 15254584
{'hecke_orbit_code': 3779588001447, 'n': 11, 'trace_an': 0}
-
id: 15254585
{'hecke_orbit_code': 3779588001447, 'n': 12, 'trace_an': 2}
-
id: 15254586
{'hecke_orbit_code': 3779588001447, 'n': 13, 'trace_an': 0}
-
id: 15254587
{'hecke_orbit_code': 3779588001447, 'n': 14, 'trace_an': 0}
-
id: 15254588
{'hecke_orbit_code': 3779588001447, 'n': 15, 'trace_an': 4}
-
id: 15254589
{'hecke_orbit_code': 3779588001447, 'n': 16, 'trace_an': -2}
-
id: 15254590
{'hecke_orbit_code': 3779588001447, 'n': 17, 'trace_an': 0}
-
id: 15254591
{'hecke_orbit_code': 3779588001447, 'n': 18, 'trace_an': 0}
-
id: 15254592
{'hecke_orbit_code': 3779588001447, 'n': 19, 'trace_an': 0}
-
id: 15254593
{'hecke_orbit_code': 3779588001447, 'n': 20, 'trace_an': -1}
-
id: 15254594
{'hecke_orbit_code': 3779588001447, 'n': 21, 'trace_an': 0}
-
id: 15254595
{'hecke_orbit_code': 3779588001447, 'n': 22, 'trace_an': 0}
-
id: 15254596
{'hecke_orbit_code': 3779588001447, 'n': 23, 'trace_an': -3}
-
id: 15254597
{'hecke_orbit_code': 3779588001447, 'n': 24, 'trace_an': 0}
-
id: 15254598
{'hecke_orbit_code': 3779588001447, 'n': 25, 'trace_an': 0}
-
id: 15254599
{'hecke_orbit_code': 3779588001447, 'n': 26, 'trace_an': 0}
-
id: 15254600
{'hecke_orbit_code': 3779588001447, 'n': 27, 'trace_an': 2}
-
id: 15254601
{'hecke_orbit_code': 3779588001447, 'n': 28, 'trace_an': 0}
-
id: 15254602
{'hecke_orbit_code': 3779588001447, 'n': 29, 'trace_an': 0}
-
id: 15254603
{'hecke_orbit_code': 3779588001447, 'n': 30, 'trace_an': 0}
-
id: 15254604
{'hecke_orbit_code': 3779588001447, 'n': 31, 'trace_an': 1}
-
id: 15254605
{'hecke_orbit_code': 3779588001447, 'n': 32, 'trace_an': 0}
-
id: 15254606
{'hecke_orbit_code': 3779588001447, 'n': 33, 'trace_an': 0}
-
id: 15254607
{'hecke_orbit_code': 3779588001447, 'n': 34, 'trace_an': 0}
-
id: 15254608
{'hecke_orbit_code': 3779588001447, 'n': 35, 'trace_an': 0}
-
id: 15254609
{'hecke_orbit_code': 3779588001447, 'n': 36, 'trace_an': -2}
-
id: 15254610
{'hecke_orbit_code': 3779588001447, 'n': 37, 'trace_an': -1}
-
id: 15254611
{'hecke_orbit_code': 3779588001447, 'n': 38, 'trace_an': 0}
-
id: 15254612
{'hecke_orbit_code': 3779588001447, 'n': 39, 'trace_an': 0}
-
id: 15254613
{'hecke_orbit_code': 3779588001447, 'n': 40, 'trace_an': 0}
-
id: 15254614
{'hecke_orbit_code': 3779588001447, 'n': 41, 'trace_an': 0}
-
id: 15254615
{'hecke_orbit_code': 3779588001447, 'n': 42, 'trace_an': 0}
-
id: 15254616
{'hecke_orbit_code': 3779588001447, 'n': 43, 'trace_an': 0}
-
id: 15254617
{'hecke_orbit_code': 3779588001447, 'n': 44, 'trace_an': 0}
-
id: 15254618
{'hecke_orbit_code': 3779588001447, 'n': 45, 'trace_an': -8}
-
id: 15254619
{'hecke_orbit_code': 3779588001447, 'n': 46, 'trace_an': 0}
-
id: 15254620
{'hecke_orbit_code': 3779588001447, 'n': 47, 'trace_an': 2}
-
id: 15254621
{'hecke_orbit_code': 3779588001447, 'n': 48, 'trace_an': 2}
-
id: 15254622
{'hecke_orbit_code': 3779588001447, 'n': 49, 'trace_an': 1}
-
id: 15254623
{'hecke_orbit_code': 3779588001447, 'n': 50, 'trace_an': 0}
-
id: 15254624
{'hecke_orbit_code': 3779588001447, 'n': 51, 'trace_an': 0}
-
id: 15254625
{'hecke_orbit_code': 3779588001447, 'n': 52, 'trace_an': 0}
-
id: 15254626
{'hecke_orbit_code': 3779588001447, 'n': 53, 'trace_an': -6}
-
id: 15254627
{'hecke_orbit_code': 3779588001447, 'n': 54, 'trace_an': 0}
-
id: 15254628
{'hecke_orbit_code': 3779588001447, 'n': 55, 'trace_an': 0}
-
id: 15254629
{'hecke_orbit_code': 3779588001447, 'n': 56, 'trace_an': 0}
-
id: 15254630
{'hecke_orbit_code': 3779588001447, 'n': 57, 'trace_an': 0}
-
id: 15254631
{'hecke_orbit_code': 3779588001447, 'n': 58, 'trace_an': 0}
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id: 15254632
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