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mf_newforms • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [2, 3]], 'cm_discs': [], 'conrey_index': 43, 'conrey_indexes': [43, 85], 'dim': 2, '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': [[5, [4, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503943258308734, 'hecke_ring_generator_nbound': 2, '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': True, 'label': '126.2.f.b', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.f.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(2-\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '126.2.f', 'trace_display': [1, 3, -2, 1], 'trace_hash': 1092489776153746010, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.032', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.157', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.858', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.420', 'prec': 17}, {'__RealLiteral__': 0, 'data': '123.389', 'prec': 24}], 'trace_zratio': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [2, 3]], 'conrey_index': 43, 'cusp_dim': 40, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 343630938238, 'hecke_orbit_dims': [2, 2, 4, 4], 'label': '126.2.f', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 56, 'mf_new_dim': 12, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [2, 6, -4, 0], 'traces': [12, 2, 6, -6, -4, 2, 0, -4, -2, 0, -2, 0, 0, 4, -8, -6, 4, 0, 12, -4, 4, -6, 4, 2, -18, 0, -36, 0, 8, 16, -12, 2, 14, -6, -8, -2, 24, -14, 28, 0, -18, 0, -6, 4, -40, 0, 0, -6, -6, 10, -22, 0, 0, 2, 24, 4, -6, 0, 14, 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120, 40, -48, -24, -112, 40, -48, -12, -144, 24, 16, -16, -24, -28, -72, -48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 35201852
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 43, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308734, 'target_is_minimal': True, 'target_label': '126.2.f.b.43.1', 'target_level': 126, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35201853
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 127, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308986, 'target_is_minimal': False, 'target_label': '378.2.f.b.127.1', 'target_level': 378, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35201854
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 673, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659952, 'target_is_minimal': False, 'target_label': '1008.2.r.a.673.1', 'target_level': 1008, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35201855
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 655, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462258, 'target_is_minimal': False, 'target_label': '882.2.e.a.655.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35201856
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022078834115442, 'target_is_minimal': False, 'target_label': '882.2.h.g.79.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 35201857
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 79, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461485938, 'target_is_minimal': False, 'target_label': '882.2.h.h.79.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35201858
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 655, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944242, 'target_is_minimal': False, 'target_label': '882.2.e.e.655.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35201859
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 295, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791474, 'target_is_minimal': False, 'target_label': '882.2.f.f.295.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 35201860
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170408046, 'target_is_minimal': False, 'target_label': '1134.2.a.f.1.1', 'target_level': 1134, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '9.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 35201861
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 85, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308734, 'target_is_minimal': True, 'target_label': '126.2.f.b.85.1', 'target_level': 126, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
-
id: 35201862
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 253, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308986, 'target_is_minimal': False, 'target_label': '378.2.f.b.253.1', 'target_level': 378, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 35201863
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007199288296558, 'target_is_minimal': False, 'target_label': '1134.2.a.c.1.1', 'target_level': 1134, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '9.7', 'twisting_conrey_index': 7, 'weight': 2}
-
id: 35201864
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 2017, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008367519402960, 'target_is_minimal': False, 'target_label': '3024.2.r.c.2017.1', 'target_level': 3024, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35201865
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 2125, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930427990, 'target_is_minimal': False, 'target_label': '2646.2.e.i.2125.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35201866
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 2125, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303057494, 'target_is_minimal': False, 'target_label': '2646.2.e.h.2125.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
-
id: 35201867
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 667, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697264726, 'target_is_minimal': False, 'target_label': '2646.2.h.b.667.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
-
id: 35201868
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 667, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324635222, 'target_is_minimal': False, 'target_label': '2646.2.h.c.667.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 35201869
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 883, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258311254, 'target_is_minimal': False, 'target_label': '2646.2.f.b.883.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35201870
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 85568392953602928, 'target_is_minimal': False, 'target_label': '9072.2.a.t.1.1', 'target_level': 9072, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '36.7', 'twisting_conrey_index': 7, 'weight': 2}
-
id: 35201871
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170415984, 'target_is_minimal': False, 'target_label': '9072.2.a.f.1.1', 'target_level': 9072, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '36.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 35201872
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1009, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9008367519402960, 'target_is_minimal': False, 'target_label': '3024.2.r.c.1009.1', 'target_level': 3024, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '36.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35201873
{'conductor': 36, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 337, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1168264659952, 'target_is_minimal': False, 'target_label': '1008.2.r.a.337.1', 'target_level': 1008, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '36.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35201874
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 373, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911462258, 'target_is_minimal': False, 'target_label': '882.2.e.a.373.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 35201875
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007680324635222, 'target_is_minimal': False, 'target_label': '2646.2.h.c.361.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 35201876
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 589, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518341767791474, 'target_is_minimal': False, 'target_label': '882.2.f.f.589.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 35201877
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972565762, 'target_is_minimal': False, 'target_label': '7938.2.a.bb.1.1', 'target_level': 7938, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35201878
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 361, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080697264726, 'target_is_minimal': False, 'target_label': '2646.2.h.b.361.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 35201879
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 373, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014673420944242, 'target_is_minimal': False, 'target_label': '882.2.e.e.373.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.31', 'twisting_conrey_index': 31, 'weight': 2}
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id: 35201880
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1549, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029071930427990, 'target_is_minimal': False, 'target_label': '2646.2.e.i.1549.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 35201881
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543044354, 'target_is_minimal': False, 'target_label': '7938.2.a.e.1.1', 'target_level': 7938, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.34', 'twisting_conrey_index': 34, 'weight': 2}
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id: 35201882
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27022078834115442, 'target_is_minimal': False, 'target_label': '882.2.h.g.67.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.40', 'twisting_conrey_index': 40, 'weight': 2}
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id: 35201883
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1765, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258311254, 'target_is_minimal': False, 'target_label': '2646.2.f.b.1765.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.41', 'twisting_conrey_index': 41, 'weight': 2}
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id: 35201884
{'conductor': 63, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 67, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525678461485938, 'target_is_minimal': False, 'target_label': '882.2.h.h.67.1', 'target_level': 882, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.58', 'twisting_conrey_index': 58, 'weight': 2}
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id: 35201885
{'conductor': 63, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 43, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4503943258308734, 'source_is_minimal': True, 'source_label': '126.2.f.b.43.1', 'source_level': 126, 'target_conrey_index': 1549, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303057494, 'target_is_minimal': False, 'target_label': '2646.2.e.h.1549.1', 'target_level': 2646, 'twist_class_label': '126.2.f.b.43.1', 'twist_class_level': 126, 'twisting_char_label': '63.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 349050
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 2}
-
id: 349051
{'charpoly_factorization': [[[3, -3, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 3}
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id: 349052
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 5}
-
id: 349053
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 7}
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id: 349054
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 11}
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id: 349055
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 13}
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id: 349056
{'charpoly_factorization': [[[5, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 17}
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id: 349057
{'charpoly_factorization': [[[7, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 19}
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id: 349058
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 23}
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id: 349059
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 29}
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id: 349060
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 31}
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id: 349061
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 37}
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id: 349062
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 41}
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id: 349063
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 43}
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id: 349064
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 47}
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id: 349065
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 53}
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id: 349066
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 59}
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id: 349067
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 61}
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id: 349068
{'charpoly_factorization': [[[169, 13, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 67}
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id: 349069
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 71}
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id: 349070
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 73}
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id: 349071
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 79}
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id: 349072
{'charpoly_factorization': [[[256, 16, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 83}
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id: 349073
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 4503943258308734, 'p': 89}
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id: 349074
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 4503943258308734, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 2, 'label': '126.2.f.b', 'level': 126, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 86656000
{'hecke_orbit_code': 4503943258308734, 'n': 1, 'trace_an': 2}
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id: 86656001
{'hecke_orbit_code': 4503943258308734, 'n': 2, 'trace_an': 1}
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id: 86656002
{'hecke_orbit_code': 4503943258308734, 'n': 3, 'trace_an': 3}
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id: 86656003
{'hecke_orbit_code': 4503943258308734, 'n': 4, 'trace_an': -1}
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id: 86656004
{'hecke_orbit_code': 4503943258308734, 'n': 5, 'trace_an': -2}
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id: 86656005
{'hecke_orbit_code': 4503943258308734, 'n': 6, 'trace_an': 3}
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id: 86656006
{'hecke_orbit_code': 4503943258308734, 'n': 7, 'trace_an': 1}
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id: 86656007
{'hecke_orbit_code': 4503943258308734, 'n': 8, 'trace_an': -2}
-
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id: 86656993
{'hecke_orbit_code': 4503943258308734, 'n': 994, 'trace_an': 8}
-
id: 86656994
{'hecke_orbit_code': 4503943258308734, 'n': 995, 'trace_an': -28}
-
id: 86656995
{'hecke_orbit_code': 4503943258308734, 'n': 996, 'trace_an': 48}
-
id: 86656996
{'hecke_orbit_code': 4503943258308734, 'n': 997, 'trace_an': -2}
-
id: 86656997
{'hecke_orbit_code': 4503943258308734, 'n': 998, 'trace_an': 58}
-
id: 86656998
{'hecke_orbit_code': 4503943258308734, 'n': 999, 'trace_an': 0}
-
id: 86656999
{'hecke_orbit_code': 4503943258308734, 'n': 1000, 'trace_an': 24}