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mf_newforms • Show schema
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{'Nk2': 1900, 'analytic_conductor': 3.7928940960108184, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, 1], [19, -1]], 'atkin_lehner_string': '+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [475, 1, [77, 401], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 3, 'field_disc': 169, 'field_disc_factorization': [[13, 2]], 'field_poly': [-1, -4, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [5, -3, -2, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797777883, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '475.2.a.g', 'level': 475, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [5, 19], 'level_radical': 95, 'minimal_twist': '475.2.a.e', 'nf_label': '3.3.169.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(1-\\beta _{1})q^{2}+(1+\\beta _{2})q^{3}+(2-\\beta _{1}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '475.2.a', 'trace_display': [2, 2, 0, 4], 'trace_hash': 2148923321021157602, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.033', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.847', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.684', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.080', 'prec': 20}, {'__RealLiteral__': 0, 'data': '12.338', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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mf_twists_cc • Show schema
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id: 45517413
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597797777883, 'target_is_minimal': True, 'target_label': '475.2.a.g.1.3', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45517414
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345191603, 'target_is_minimal': False, 'target_label': '4275.2.a.ba.1.1', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45517415
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 148618787736788400, 'target_is_minimal': False, 'target_label': '7600.2.a.bh.1.2', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45517416
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.6', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45517417
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 324, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503668380402139, 'target_is_minimal': False, 'target_label': '475.2.b.b.324.1', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45517418
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18014398543036891, 'target_is_minimal': True, 'target_label': '475.2.a.e.1.1', 'target_level': 475, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45517419
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 171136785873637555, 'target_is_minimal': False, 'target_label': '4275.2.a.bm.1.3', 'target_level': 4275, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 45517420
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090455361, 'target_is_minimal': False, 'target_label': '9025.2.a.y.1.1', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 45517421
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 243194379911568816, 'target_is_minimal': False, 'target_label': '7600.2.a.cc.1.2', 'target_level': 7600, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 45517422
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 3, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797777883, 'source_is_minimal': True, 'source_label': '475.2.a.g.1.3', 'source_level': 475, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 126100789599937345, 'target_is_minimal': False, 'target_label': '9025.2.a.bc.1.3', 'target_level': 9025, 'twist_class_label': '475.2.a.e.1.1', 'twist_class_level': 475, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 940775
{'charpoly_factorization': [[[5, -3, -2, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 2}
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id: 940776
{'charpoly_factorization': [[[5, -3, -2, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 3}
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id: 940777
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 27021597797777883, 'p': 5}
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id: 940778
{'charpoly_factorization': [[[1, 1, -4, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 7}
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id: 940779
{'charpoly_factorization': [[[-1, -4, -1, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 11}
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id: 940780
{'charpoly_factorization': [[[103, -36, -3, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 13}
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id: 940781
{'charpoly_factorization': [[[-79, 61, -14, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 17}
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id: 940782
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 27021597797777883, 'p': 19}
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id: 940783
{'charpoly_factorization': [[[125, -9, -8, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 23}
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id: 940784
{'charpoly_factorization': [[[-5, 4, 5, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 29}
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id: 940785
{'charpoly_factorization': [[[53, -30, 1, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 31}
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id: 940786
{'charpoly_factorization': [[[395, -74, -5, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 37}
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id: 940787
{'charpoly_factorization': [[[155, -82, -1, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 41}
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id: 940788
{'charpoly_factorization': [[[-317, -113, 5, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 43}
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id: 940789
{'charpoly_factorization': [[[311, -64, -9, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 47}
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id: 940790
{'charpoly_factorization': [[[-905, 303, -31, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 53}
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id: 940791
{'charpoly_factorization': [[[-200, -40, 6, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 59}
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id: 940792
{'charpoly_factorization': [[[-1, -10, -3, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 61}
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id: 940793
{'charpoly_factorization': [[[-169, 0, 13, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 67}
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id: 940794
{'charpoly_factorization': [[[47, -1, -7, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 71}
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id: 940795
{'charpoly_factorization': [[[-53, -30, -1, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 73}
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id: 940796
{'charpoly_factorization': [[[-395, 17, 18, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 79}
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id: 940797
{'charpoly_factorization': [[[-131, -270, -3, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 83}
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id: 940798
{'charpoly_factorization': [[[-125, 51, 20, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 89}
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id: 940799
{'charpoly_factorization': [[[-169, 0, 13, 1], 1]], 'hecke_orbit_code': 27021597797777883, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '475.2.a.g', 'level': 475, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 174572000
{'hecke_orbit_code': 27021597797777883, 'n': 1, 'trace_an': 3}
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id: 174572001
{'hecke_orbit_code': 27021597797777883, 'n': 2, 'trace_an': 2}
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id: 174572002
{'hecke_orbit_code': 27021597797777883, 'n': 3, 'trace_an': 2}
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id: 174572003
{'hecke_orbit_code': 27021597797777883, 'n': 4, 'trace_an': 4}
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id: 174572004
{'hecke_orbit_code': 27021597797777883, 'n': 5, 'trace_an': 0}
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id: 174572005
{'hecke_orbit_code': 27021597797777883, 'n': 6, 'trace_an': -3}
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id: 174572006
{'hecke_orbit_code': 27021597797777883, 'n': 7, 'trace_an': 4}
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id: 174572007
{'hecke_orbit_code': 27021597797777883, 'n': 8, 'trace_an': 3}
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id: 174572008
{'hecke_orbit_code': 27021597797777883, 'n': 9, 'trace_an': 1}
-
id: 174572009
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