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{'Nk2': 19800, 'analytic_conductor': 39.52594900053379, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4950, 2, [551, 2377, 4501], [2, 1, 2]], 'cm_discs': [], 'conrey_index': 199, 'conrey_indexes': [199], '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, [4, 0, 1]], [13, [1, 0, 1]], [17, [16, 0, 1]], [19, [1, 1]], [29, [9, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057731510440790, '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': False, 'label': '4950.2.c.q', 'level': 4950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'minimal_twist': '1650.2.a.i', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{2}-q^{4}+2iq^{7}-iq^{8}+q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4950.2.c', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1943508508658752423, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.002', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.021', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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[1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '4950.2.c.q', 'level': 4950, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 19800, 'analytic_conductor': 39.52594900053379, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 2, 'char_parity': 1, 'char_values': [4950, 2, [551, 2377, 4501], [2, 1, 2]], 'conrey_index': 199, 'cusp_dim': 1032, 'dim': 74, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17, 19, 29], 'hecke_orbit_code': 137472512854, '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, 4, 4, 6, 6], 'label': '4950.2.c', 'level': 4950, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 11], 'level_radical': 330, 'mf_dim': 1128, 'mf_new_dim': 74, 'num_forms': 31, 'prim_orbit_index': 2, 'relative_dim': 74, 'sturm_bound': 2160, 'trace_bound': 26, 'trace_display': [0, 0, 0, 0], 'traces': [74, 0, 0, -74, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 74, 0, 0, -8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 1235081
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1650.2.a.i', 'target_level': 1650, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1235082
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': True, 'target_label': '1650.2.a.l', 'target_level': 1650, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1235083
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1650.2.c.c', 'target_level': 1650, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1235084
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1650.2.c.c', 'target_level': 1650, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1235085
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '4950.2.a.f', 'target_level': 4950, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1235086
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '4950.2.a.br', 'target_level': 4950, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1235087
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4950.2.c.q', 'target_level': 4950, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1235088
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 17, 'source_is_minimal': False, 'source_label': '4950.2.c.q', 'source_level': 4950, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '4950.2.c.q', 'target_level': 4950, 'twist_class_label': '1650.2.a.i', 'twist_class_level': 1650, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3755825
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 2}
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id: 3755826
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 3}
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id: 3755827
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 5}
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id: 3755828
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 7}
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id: 3755829
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 11}
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id: 3755830
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 13}
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id: 3755831
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 17}
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id: 3755832
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 19}
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id: 3755833
{'charpoly_factorization': [[[1, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 23}
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id: 3755834
{'charpoly_factorization': [[[9, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 29}
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id: 3755835
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 31}
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id: 3755836
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 37}
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id: 3755837
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 41}
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id: 3755838
{'charpoly_factorization': [[[9, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 43}
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id: 3755839
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 47}
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id: 3755840
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 53}
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id: 3755841
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 59}
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id: 3755842
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 61}
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id: 3755843
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 67}
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id: 3755844
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 71}
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id: 3755845
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 73}
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id: 3755846
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 79}
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id: 3755847
{'charpoly_factorization': [[[49, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 83}
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id: 3755848
{'charpoly_factorization': [[[11, 1], 2]], 'hecke_orbit_code': 72057731510440790, 'p': 89}
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id: 3755849
{'charpoly_factorization': [[[81, 0, 1], 1]], 'hecke_orbit_code': 72057731510440790, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 3, 'hecke_orbit': 17, 'label': '4950.2.c.q', 'level': 4950, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 240448000
{'hecke_orbit_code': 72057731510440790, 'n': 1, 'trace_an': 2}
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id: 240448001
{'hecke_orbit_code': 72057731510440790, 'n': 2, 'trace_an': 0}
-
id: 240448002
{'hecke_orbit_code': 72057731510440790, 'n': 3, 'trace_an': 0}
-
id: 240448003
{'hecke_orbit_code': 72057731510440790, 'n': 4, 'trace_an': -2}
-
id: 240448004
{'hecke_orbit_code': 72057731510440790, 'n': 5, 'trace_an': 0}
-
id: 240448005
{'hecke_orbit_code': 72057731510440790, 'n': 6, 'trace_an': 0}
-
id: 240448006
{'hecke_orbit_code': 72057731510440790, 'n': 7, 'trace_an': 0}
-
id: 240448007
{'hecke_orbit_code': 72057731510440790, 'n': 8, 'trace_an': 0}
-
id: 240448008
{'hecke_orbit_code': 72057731510440790, 'n': 9, 'trace_an': 0}
-
id: 240448009
{'hecke_orbit_code': 72057731510440790, 'n': 10, 'trace_an': 0}
-
id: 240448010
{'hecke_orbit_code': 72057731510440790, 'n': 11, 'trace_an': 2}
-
id: 240448011
{'hecke_orbit_code': 72057731510440790, 'n': 12, 'trace_an': 0}
-
id: 240448012
{'hecke_orbit_code': 72057731510440790, 'n': 13, 'trace_an': 0}
-
id: 240448013
{'hecke_orbit_code': 72057731510440790, 'n': 14, 'trace_an': -4}
-
id: 240448014
{'hecke_orbit_code': 72057731510440790, 'n': 15, 'trace_an': 0}
-
id: 240448015
{'hecke_orbit_code': 72057731510440790, 'n': 16, 'trace_an': 2}
-
id: 240448016
{'hecke_orbit_code': 72057731510440790, 'n': 17, 'trace_an': 0}
-
id: 240448017
{'hecke_orbit_code': 72057731510440790, 'n': 18, 'trace_an': 0}
-
id: 240448018
{'hecke_orbit_code': 72057731510440790, 'n': 19, 'trace_an': -2}
-
id: 240448019
{'hecke_orbit_code': 72057731510440790, 'n': 20, 'trace_an': 0}
-
id: 240448020
{'hecke_orbit_code': 72057731510440790, 'n': 21, 'trace_an': 0}
-
id: 240448021
{'hecke_orbit_code': 72057731510440790, 'n': 22, 'trace_an': 0}
-
id: 240448022
{'hecke_orbit_code': 72057731510440790, 'n': 23, 'trace_an': 0}
-
id: 240448023
{'hecke_orbit_code': 72057731510440790, 'n': 24, 'trace_an': 0}
-
id: 240448024
{'hecke_orbit_code': 72057731510440790, 'n': 25, 'trace_an': 0}
-
id: 240448025
{'hecke_orbit_code': 72057731510440790, 'n': 26, 'trace_an': 2}
-
id: 240448026
{'hecke_orbit_code': 72057731510440790, 'n': 27, 'trace_an': 0}
-
id: 240448027
{'hecke_orbit_code': 72057731510440790, 'n': 28, 'trace_an': 0}
-
id: 240448028
{'hecke_orbit_code': 72057731510440790, 'n': 29, 'trace_an': -18}
-
id: 240448029
{'hecke_orbit_code': 72057731510440790, 'n': 30, 'trace_an': 0}
-
id: 240448030
{'hecke_orbit_code': 72057731510440790, 'n': 31, 'trace_an': 6}
-
id: 240448031
{'hecke_orbit_code': 72057731510440790, 'n': 32, 'trace_an': 0}
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