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mf_newforms • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 185, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [370, 12, [297, 261], [3, 5]], 'cm_discs': [], 'conrey_index': 97, 'conrey_indexes': [97, 103, 267, 273], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [36, -36, 18, -6, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504699172553074, 'hecke_ring_generator_nbound': 5, '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, 185, 16, 1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '370.2.q.b', 'level': 370, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'minimal_twist': '370.2.q.b', 'nf_label': '4.0.144.1', 'prim_orbit_index': 16, 'qexp_display': 'q-\\zeta_{12}^{2}q^{2}+(1+\\zeta_{12}+\\zeta_{12}^{2}-2\\zeta_{12}^{3})q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '370.2.q', 'trace_display': [-2, 6, 2, -2], 'trace_hash': 1528552576141123787, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.961', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.279', 'prec': 17}, {'__RealLiteral__': 0, 'data': '48.590', 'prec': 20}, {'__RealLiteral__': 0, 'data': '33.017', 'prec': 20}, 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mf_hecke_cc • Show schema
Hide schema
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'hecke_orbit': 2, 'hecke_orbit_code': 4504699172553074, 'label': '370.2.q.b.103.1', 'level': 370, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1480, 'analytic_conductor': 2.9544648747873743, 'char_conductor': 185, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 12, 'char_parity': 1, 'char_values': [370, 12, [297, 261], [3, 5]], 'conrey_index': 97, 'cusp_dim': 212, 'dim': 76, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1099545182578, 'hecke_orbit_dims': [4, 4, 8, 12, 16, 32], 'label': '370.2.q', 'level': 370, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 5, 37], 'level_radical': 370, 'mf_dim': 244, 'mf_new_dim': 76, 'num_forms': 6, 'prim_orbit_index': 16, 'relative_dim': 19, 'sturm_bound': 114, 'trace_bound': 3, 'trace_display': [2, 4, 6, 0], 'traces': [76, 2, 4, -38, 6, 0, 0, -4, 0, -2, 0, 4, 8, 8, 8, -38, 0, 0, -12, 0, 0, 0, 8, 0, 2, 8, 64, 0, -18, -24, 16, 2, 12, 0, -16, 0, 14, 0, -64, -14, -18, -84, -16, -12, 8, 0, 8, -8, 72, -20, 0, 8, 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mf_twists_cc • Show schema
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id: 37185268
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504699172553074, 'source_is_minimal': True, 'source_label': '370.2.q.b.103.1', 'source_level': 370, 'target_conrey_index': 103, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172553074, 'target_is_minimal': True, 'target_label': '370.2.q.b.103.1', 'target_level': 370, 'twist_class_label': '370.2.q.b.97.1', 'twist_class_level': 370, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 37185269
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504699172553074, 'source_is_minimal': True, 'source_label': '370.2.q.b.103.1', 'source_level': 370, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892029810, 'target_is_minimal': True, 'target_label': '370.2.r.b.177.1', 'target_level': 370, 'twist_class_label': '370.2.q.b.97.1', 'twist_class_level': 370, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 37185270
{'conductor': 37, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 103, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504699172553074, 'source_is_minimal': True, 'source_label': '370.2.q.b.103.1', 'source_level': 370, 'target_conrey_index': 23, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504767892029810, 'target_is_minimal': True, 'target_label': '370.2.r.b.23.1', 'target_level': 370, 'twist_class_label': '370.2.q.b.97.1', 'twist_class_level': 370, 'twisting_char_label': '37.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 37185271
{'conductor': 185, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 103, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504699172553074, 'source_is_minimal': True, 'source_label': '370.2.q.b.103.1', 'source_level': 370, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504699172553074, 'target_is_minimal': True, 'target_label': '370.2.q.b.97.1', 'target_level': 370, 'twist_class_label': '370.2.q.b.97.1', 'twist_class_level': 370, 'twisting_char_label': '185.97', 'twisting_conrey_index': 97, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 789625
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 4504699172553074, 'p': 2}
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id: 789626
{'charpoly_factorization': [[[36, -36, 18, -6, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 3}
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id: 789627
{'charpoly_factorization': [[[25, -10, -1, -2, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 5}
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id: 789628
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 7}
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id: 789629
{'charpoly_factorization': [[[9, 0, 42, 0, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 11}
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id: 789630
{'charpoly_factorization': [[[1, -4, 15, -4, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 13}
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id: 789631
{'charpoly_factorization': [[[4, 12, 14, 6, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 17}
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id: 789632
{'charpoly_factorization': [[[1, -2, 5, -4, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 19}
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id: 789633
{'charpoly_factorization': [[[1, 4, 1], 2]], 'hecke_orbit_code': 4504699172553074, 'p': 23}
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id: 789634
{'charpoly_factorization': [[[256, -128, 32, 8, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 29}
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id: 789635
{'charpoly_factorization': [[[2704, -208, 8, 4, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 31}
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id: 789636
{'charpoly_factorization': [[[37, -1, 1], 2]], 'hecke_orbit_code': 4504699172553074, 'p': 37}
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id: 789637
{'charpoly_factorization': [[[576, -288, 24, 12, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 41}
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id: 789638
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 4504699172553074, 'p': 43}
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id: 789639
{'charpoly_factorization': [[[169, -26, 2, 2, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 47}
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id: 789640
{'charpoly_factorization': [[[14884, 2684, 146, 10, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 53}
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id: 789641
{'charpoly_factorization': [[[121, 22, 17, 8, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 59}
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id: 789642
{'charpoly_factorization': [[[676, 52, 122, -22, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 61}
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id: 789643
{'charpoly_factorization': [[[4356, 1188, 90, 6, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 67}
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id: 789644
{'charpoly_factorization': [[[36, -6, 1], 2]], 'hecke_orbit_code': 4504699172553074, 'p': 71}
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id: 789645
{'charpoly_factorization': [[[8836, -376, 8, 4, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 73}
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id: 789646
{'charpoly_factorization': [[[2304, 0, 144, -24, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 79}
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id: 789647
{'charpoly_factorization': [[[1024, 256, 32, 8, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 83}
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id: 789648
{'charpoly_factorization': [[[32041, -3938, 185, -16, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 89}
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id: 789649
{'charpoly_factorization': [[[576, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 4504699172553074, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 2, 'label': '370.2.q.b', 'level': 370, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 94664000
{'hecke_orbit_code': 4504699172553074, 'n': 1, 'trace_an': 4}
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id: 94664001
{'hecke_orbit_code': 4504699172553074, 'n': 2, 'trace_an': -2}
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id: 94664002
{'hecke_orbit_code': 4504699172553074, 'n': 3, 'trace_an': 6}
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id: 94664003
{'hecke_orbit_code': 4504699172553074, 'n': 4, 'trace_an': -2}
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id: 94664004
{'hecke_orbit_code': 4504699172553074, 'n': 5, 'trace_an': 2}
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id: 94664005
{'hecke_orbit_code': 4504699172553074, 'n': 6, 'trace_an': 0}
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id: 94664006
{'hecke_orbit_code': 4504699172553074, 'n': 7, 'trace_an': -2}
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id: 94664007
{'hecke_orbit_code': 4504699172553074, 'n': 8, 'trace_an': 4}
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id: 94664008
{'hecke_orbit_code': 4504699172553074, 'n': 9, 'trace_an': 0}
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id: 94664009
{'hecke_orbit_code': 4504699172553074, 'n': 10, 'trace_an': -4}
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id: 94664010
{'hecke_orbit_code': 4504699172553074, 'n': 11, 'trace_an': 0}
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id: 94664011
{'hecke_orbit_code': 4504699172553074, 'n': 12, 'trace_an': -6}
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id: 94664012
{'hecke_orbit_code': 4504699172553074, 'n': 13, 'trace_an': 4}
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id: 94664013
{'hecke_orbit_code': 4504699172553074, 'n': 14, 'trace_an': 4}
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id: 94664014
{'hecke_orbit_code': 4504699172553074, 'n': 15, 'trace_an': 18}
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id: 94664015
{'hecke_orbit_code': 4504699172553074, 'n': 16, 'trace_an': -2}
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id: 94664016
{'hecke_orbit_code': 4504699172553074, 'n': 17, 'trace_an': -6}
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{'hecke_orbit_code': 4504699172553074, 'n': 994, 'trace_an': 12}
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id: 94664994
{'hecke_orbit_code': 4504699172553074, 'n': 995, 'trace_an': 64}
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id: 94664995
{'hecke_orbit_code': 4504699172553074, 'n': 996, 'trace_an': 0}
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id: 94664996
{'hecke_orbit_code': 4504699172553074, 'n': 997, 'trace_an': -36}
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id: 94664997
{'hecke_orbit_code': 4504699172553074, 'n': 998, 'trace_an': -76}
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id: 94664998
{'hecke_orbit_code': 4504699172553074, 'n': 999, 'trace_an': 0}
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id: 94664999
{'hecke_orbit_code': 4504699172553074, 'n': 1000, 'trace_an': 44}