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mf_newforms • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [225, 3, [101, 127], [1, 3]], 'cm_discs': [], 'conrey_index': 76, 'conrey_indexes': [76, 151], 'dim': 6, 'field_disc': -954288, 'field_disc_factorization': [[-1, 1], [2, 4], [3, 3], [47, 2]], 'field_poly': [27, -9, -6, 3, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, -15, 28, -1, 6, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832097, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '225.2.e.b', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '45.2.e.b', 'nf_label': '6.0.954288.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\beta _{1}-\\beta _{2}+\\beta _{4}+\\beta _{5})q^{2}-\\beta _{4}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '225.2.e', 'trace_display': [1, -1, 0, 5], 'trace_hash': 1746734296811958812, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.029', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.844', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.157', 'prec': 17}, {'__RealLiteral__': 0, 'data': '139.237', 'prec': 24}, {'__RealLiteral__': 0, 'data': '56.898', 'prec': 20}, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 900, 'analytic_conductor': 1.7966340454788086, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [225, 3, [101, 127], [1, 3]], 'conrey_index': 76, 'cusp_dim': 48, 'dim': 32, 'eis_dim': 24, 'eis_new_dim': 12, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461601, 'hecke_orbit_dims': [2, 6, 8, 8, 8], 'label': '225.2.e', 'level': 225, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 72, 'mf_new_dim': 44, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [2, 2, 0, 2], 'traces': [32, 2, 2, -12, 0, 0, 2, 0, 6, 0, -6, -14, 2, 6, 0, -8, -4, 20, 8, 0, -18, -6, 6, -54, 0, -24, 2, -16, -6, 0, 4, 22, -20, -14, 0, -12, -4, -10, 42, 0, -6, 42, 2, 72, 0, -16, 20, 10, 10, 0, -30, -10, 8, 48, 0, 48, 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mf_twists_cc • Show schema
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id: 35016878
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 151, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.151.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35016879
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 451, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.451.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35016880
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.6', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35016881
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 124, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.124.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35016882
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 16, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.16.1', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35016883
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816743401, 'target_is_minimal': False, 'target_label': '2025.2.a.o.1.3', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35016884
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 76, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832097, 'target_is_minimal': False, 'target_label': '225.2.e.b.76.3', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35016885
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 226, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538832547, 'target_is_minimal': False, 'target_label': '675.2.e.b.226.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35016886
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189372905, 'target_is_minimal': False, 'target_label': '2025.2.a.n.1.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35016887
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35016888
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 424, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.424.6', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 35016889
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 46, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.46.3', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35016890
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 241, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.241.1', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 35016891
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.6', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35016892
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 31, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503874538831917, 'target_is_minimal': True, 'target_label': '45.2.e.b.31.1', 'target_level': 45, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35016893
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35016894
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.6', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35016895
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 91, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503874538832007, 'target_is_minimal': False, 'target_label': '135.2.e.b.91.3', 'target_level': 135, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 35016896
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 49, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692513, 'target_is_minimal': False, 'target_label': '225.2.k.b.49.1', 'target_level': 225, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35016897
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.1', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35016898
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36028797052518805, 'target_is_minimal': False, 'target_label': '405.2.a.i.1.1', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 35016899
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 199, 'target_dim': 12, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504286855692963, 'target_is_minimal': False, 'target_label': '675.2.k.b.199.6', 'target_level': 675, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35016900
{'conductor': 45, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 40532396679889301, 'target_is_minimal': False, 'target_label': '405.2.a.j.1.3', 'target_level': 405, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 35016901
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 54043264281479145, 'target_is_minimal': False, 'target_label': '2025.2.b.m.649.1', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 35016902
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 649, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 49539664654108649, 'target_is_minimal': False, 'target_label': '2025.2.b.l.649.6', 'target_level': 2025, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '45.43', 'twisting_conrey_index': 43, 'weight': 2}
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id: 35016903
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 721, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.721.1', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35016904
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 1441, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45037095818889328, 'target_is_minimal': False, 'target_label': '2160.2.q.k.1441.1', 'target_level': 2160, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 35016905
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 211669182519974224, 'target_is_minimal': False, 'target_label': '6480.2.a.bv.1.3', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.79', 'twisting_conrey_index': 79, 'weight': 2}
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id: 35016906
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 198158383637862736, 'target_is_minimal': False, 'target_label': '6480.2.a.bs.1.3', 'target_level': 6480, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.119', 'twisting_conrey_index': 119, 'weight': 2}
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id: 35016907
{'conductor': 180, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 151, 'source_dim': 6, 'source_embedding_index': 3, 'source_hecke_orbit_code': 4503874538832097, 'source_is_minimal': False, 'source_label': '225.2.e.b.151.3', 'source_level': 225, 'target_conrey_index': 481, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029896564146896, 'target_is_minimal': False, 'target_label': '720.2.q.i.481.1', 'target_level': 720, 'twist_class_label': '45.2.e.b.16.1', 'twist_class_level': 45, 'twisting_char_label': '180.139', 'twisting_conrey_index': 139, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 537900
{'charpoly_factorization': [[[9, -15, 28, -1, 6, -1, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 2}
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id: 537901
{'charpoly_factorization': [[[27, 9, 12, 3, 4, 1, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 3}
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id: 537902
{'charpoly_factorization': [[[0, 1], 6]], 'hecke_orbit_code': 4503874538832097, 'p': 5}
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id: 537903
{'charpoly_factorization': [[[9, 9, 24, -21, 22, -5, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 7}
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id: 537904
{'charpoly_factorization': [[[144, -96, 88, -8, 12, -2, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 11}
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id: 537905
{'charpoly_factorization': [[[16, -16, 32, 8, 20, -4, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 13}
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id: 537906
{'charpoly_factorization': [[[12, -8, -2, 1], 2]], 'hecke_orbit_code': 4503874538832097, 'p': 17}
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id: 537907
{'charpoly_factorization': [[[4, -4, -4, 1], 2]], 'hecke_orbit_code': 4503874538832097, 'p': 19}
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id: 537908
{'charpoly_factorization': [[[13689, -3861, 1440, -135, 42, -3, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 23}
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id: 537909
{'charpoly_factorization': [[[2601, -1479, 1198, 101, 78, -7, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 29}
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id: 537910
{'charpoly_factorization': [[[219024, 28080, 7344, 456, 124, 8, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 31}
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id: 537911
{'charpoly_factorization': [[[-4, -12, 6, 1], 2]], 'hecke_orbit_code': 4503874538832097, 'p': 37}
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id: 537912
{'charpoly_factorization': [[[9, -57, 322, -241, 150, -13, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 41}
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id: 537913
{'charpoly_factorization': [[[16, -16, 56, 32, 104, -10, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 43}
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id: 537914
{'charpoly_factorization': [[[136161, -4059, 4918, -595, 180, -13, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 47}
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id: 537915
{'charpoly_factorization': [[[24, -20, -2, 1], 2]], 'hecke_orbit_code': 4503874538832097, 'p': 53}
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id: 537916
{'charpoly_factorization': [[[576, -480, 448, -8, 24, -2, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 59}
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id: 537917
{'charpoly_factorization': [[[5041, -2627, 1298, -179, 38, 1, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 61}
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id: 537918
{'charpoly_factorization': [[[257049, -19773, 7098, -585, 160, -11, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 67}
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id: 537919
{'charpoly_factorization': [[[-708, -92, 10, 1], 2]], 'hecke_orbit_code': 4503874538832097, 'p': 71}
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id: 537920
{'charpoly_factorization': [[[128, -64, -8, 1], 2]], 'hecke_orbit_code': 4503874538832097, 'p': 73}
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id: 537921
{'charpoly_factorization': [[[576, -2016, 7008, -216, 88, 2, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 79}
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id: 537922
{'charpoly_factorization': [[[6561, -2187, 1944, 567, 198, 15, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 83}
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id: 537923
{'charpoly_factorization': [[[3, 1], 6]], 'hecke_orbit_code': 4503874538832097, 'p': 89}
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id: 537924
{'charpoly_factorization': [[[1700416, 46944, 24768, 1960, 360, 18, 1], 1]], 'hecke_orbit_code': 4503874538832097, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '225.2.e.b', 'level': 225, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 85192000
{'hecke_orbit_code': 4503874538832097, 'n': 1, 'trace_an': 6}
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id: 85192001
{'hecke_orbit_code': 4503874538832097, 'n': 2, 'trace_an': 1}
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id: 85192002
{'hecke_orbit_code': 4503874538832097, 'n': 3, 'trace_an': -1}
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id: 85192003
{'hecke_orbit_code': 4503874538832097, 'n': 4, 'trace_an': -5}
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id: 85192004
{'hecke_orbit_code': 4503874538832097, 'n': 5, 'trace_an': 0}
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id: 85192005
{'hecke_orbit_code': 4503874538832097, 'n': 6, 'trace_an': -4}
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id: 85192006
{'hecke_orbit_code': 4503874538832097, 'n': 7, 'trace_an': 5}
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id: 85192007
{'hecke_orbit_code': 4503874538832097, 'n': 8, 'trace_an': -6}
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id: 85192008
{'hecke_orbit_code': 4503874538832097, 'n': 9, 'trace_an': -7}
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id: 85192009
{'hecke_orbit_code': 4503874538832097, 'n': 10, 'trace_an': 0}
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id: 85192010
{'hecke_orbit_code': 4503874538832097, 'n': 11, 'trace_an': 2}
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id: 85192011
{'hecke_orbit_code': 4503874538832097, 'n': 12, 'trace_an': -17}
-
id: 85192012
{'hecke_orbit_code': 4503874538832097, 'n': 13, 'trace_an': 4}
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id: 85192013
{'hecke_orbit_code': 4503874538832097, 'n': 14, 'trace_an': 9}
-
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{'hecke_orbit_code': 4503874538832097, 'n': 998, 'trace_an': -8}
-
id: 85192998
{'hecke_orbit_code': 4503874538832097, 'n': 999, 'trace_an': 80}
-
id: 85192999
{'hecke_orbit_code': 4503874538832097, 'n': 1000, 'trace_an': 0}