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mf_newforms • Show schema
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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4650, 2, [3101, 2977, 1801], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 3349, 'conrey_indexes': [3349], 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[7, [1, 0, 1]], [11, [-5, 1]], [13, [1, 0, 1]], [17, [0, 1]], [19, [0, 1]], [29, [-2, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597396130992682, '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, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4650.2.d.bb', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'minimal_twist': '4650.2.a.g', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}-iq^{3}-q^{4}+q^{6}+iq^{7}-iq^{8}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4650.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1974066394970678837, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.090', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.092', 'prec': 17}, {'__RealLiteral__': 0, 'data': '17.012', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.102', 'prec': 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mf_hecke_cc • Show schema
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{'Nk2': 18600, 'analytic_conductor': 37.130436939895375, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [4650, 2, [3101, 2977, 1801], [2, 1, 2]], 'conrey_index': 3349, 'cusp_dim': 936, 'dim': 92, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17, 19, 29], 'hecke_orbit_code': 206191989290, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 6, 6], 'label': '4650.2.d', 'level': 4650, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 31], 'level_radical': 930, 'mf_dim': 984, 'mf_new_dim': 92, 'num_forms': 36, 'prim_orbit_index': 2, 'relative_dim': 92, 'sturm_bound': 1920, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [92, 0, 0, -92, 0, 0, 0, 0, -92, 0, 0, 0, 0, 16, 0, 92, 0, 0, -8, 0, 0, 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-128, 0, 0, 384, 0, 12, 0, 0, -144, 0, 768, 0, 0, -88, 0, -48, 0, 0, 392, 0, 192, 0, 0, 192, 0, -432, 0, 0, -800, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48663754
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 3349, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597396130992682, 'source_is_minimal': False, 'source_label': '4650.2.d.bb.3349.1', 'source_level': 4650, 'target_conrey_index': 3349, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597396130992682, 'target_is_minimal': False, 'target_label': '4650.2.d.bb.3349.1', 'target_level': 4650, 'twist_class_label': '4650.2.a.g.1.1', 'twist_class_level': 4650, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48663755
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 3349, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597396130992682, 'source_is_minimal': False, 'source_label': '4650.2.d.bb.3349.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 193654784010490410, 'target_is_minimal': True, 'target_label': '4650.2.a.br.1.1', 'target_level': 4650, 'twist_class_label': '4650.2.a.g.1.1', 'twist_class_level': 4650, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48663756
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 3349, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597396130992682, 'source_is_minimal': False, 'source_label': '4650.2.d.bb.3349.1', 'source_level': 4650, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 27021597797782058, 'target_is_minimal': True, 'target_label': '4650.2.a.g.1.1', 'target_level': 4650, 'twist_class_label': '4650.2.a.g.1.1', 'twist_class_level': 4650, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48663757
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 3349, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 121597396130992682, 'source_is_minimal': False, 'source_label': '4650.2.d.bb.3349.1', 'source_level': 4650, 'target_conrey_index': 3349, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 121597396130992682, 'target_is_minimal': False, 'target_label': '4650.2.d.bb.3349.2', 'target_level': 4650, 'twist_class_label': '4650.2.a.g.1.1', 'twist_class_level': 4650, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3663625
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 2}
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id: 3663626
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 3}
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id: 3663627
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 5}
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id: 3663628
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 7}
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id: 3663629
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 11}
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id: 3663630
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 13}
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id: 3663631
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 17}
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id: 3663632
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 19}
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id: 3663633
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 23}
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id: 3663634
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 29}
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id: 3663635
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 31}
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id: 3663636
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 37}
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id: 3663637
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 41}
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id: 3663638
{'charpoly_factorization': [[[121, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 43}
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id: 3663639
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 47}
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id: 3663640
{'charpoly_factorization': [[[169, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 53}
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id: 3663641
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 59}
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id: 3663642
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 61}
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id: 3663643
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 67}
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id: 3663644
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 71}
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id: 3663645
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 73}
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id: 3663646
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 79}
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id: 3663647
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 83}
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id: 3663648
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 121597396130992682, 'p': 89}
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id: 3663649
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 121597396130992682, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 28, 'label': '4650.2.d.bb', 'level': 4650, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 262937000
{'hecke_orbit_code': 121597396130992682, 'n': 1, 'trace_an': 2}
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id: 262937001
{'hecke_orbit_code': 121597396130992682, 'n': 2, 'trace_an': 0}
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id: 262937002
{'hecke_orbit_code': 121597396130992682, 'n': 3, 'trace_an': 0}
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id: 262937003
{'hecke_orbit_code': 121597396130992682, 'n': 4, 'trace_an': -2}
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id: 262937004
{'hecke_orbit_code': 121597396130992682, 'n': 5, 'trace_an': 0}
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id: 262937005
{'hecke_orbit_code': 121597396130992682, 'n': 6, 'trace_an': 2}
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