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mf_newforms • Show schema
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{'Nk2': 1856, 'analytic_conductor': 0.9262646634468524, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 116, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [1856, 2, [639, 581, 321], [1, 2, 1]], 'cm_discs': [-116], 'conrey_index': 1855, 'conrey_indexes': [1855], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [-3, 0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511279935227712, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 116, 4, -1, 2, -116], [1, 1, 4, 2, -1, 2, 0], [1, 1, 29, 2, 1, 2, 0]], 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mf_hecke_cc • Show schema
Hide schema
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'hecke_orbit_code': 13511279935227712, 'label': '1856.1.h.d.1855.1', 'level': 1856, 'weight': 1}
-
mf_newspaces • Show schema
Hide schema
{'Nk2': 1856, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.9262646634468524, 'char_conductor': 116, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 2, 'char_parity': -1, 'char_values': [1856, 2, [639, 581, 321], [1, 2, 1]], 'conrey_index': 1855, 'cusp_dim': 24, 'dihedral_dim': 5, 'dim': 5, 'eis_dim': 12, 'eis_new_dim': 2, 'hecke_orbit_code': 481053116224, 'hecke_orbit_dims': [1, 1, 1, 2], 'label': '1856.1.h', 'level': 1856, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 29], 'level_radical': 58, 'mf_dim': 36, 'mf_new_dim': 7, 'num_forms': 4, 'prim_orbit_index': 4, 'relative_dim': 5, 's4_dim': 0, 'sturm_bound': 240, 'trace_bound': 3, 'trace_display': [0, 0, 2, 0], 'traces': [5, 0, 0, 0, 2, 0, 0, 0, 3, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 3, 0, 0, 0, 1, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 5, 0, 0, 0, 2, 0, 0, 0, -4, 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mf_twists_cc • Show schema
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id: 43318264
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279935227712, 'target_is_minimal': False, 'target_label': '1856.1.h.d.1855.1', 'target_level': 1856, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 43318265
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279935227712, 'target_is_minimal': False, 'target_label': '1856.1.h.d.1855.2', 'target_level': 1856, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 43318266
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 463, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080680485328, 'target_is_minimal': True, 'target_label': '464.1.h.b.463.1', 'target_level': 464, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 43318267
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 463, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080680485328, 'target_is_minimal': True, 'target_label': '464.1.h.b.463.2', 'target_level': 464, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 43318268
{'conductor': 29, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511279935227712, 'target_is_minimal': False, 'target_label': '1856.1.h.d.1855.2', 'target_level': 1856, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '29.28', 'twisting_conrey_index': 28, 'weight': 1}
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id: 43318269
{'conductor': 116, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 1855, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511279935227712, 'target_is_minimal': False, 'target_label': '1856.1.h.d.1855.1', 'target_level': 1856, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '116.115', 'twisting_conrey_index': 115, 'weight': 1}
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id: 43318270
{'conductor': 232, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 463, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504080680485328, 'target_is_minimal': True, 'target_label': '464.1.h.b.463.2', 'target_level': 464, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '232.115', 'twisting_conrey_index': 115, 'weight': 1}
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id: 43318271
{'conductor': 232, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1855, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 13511279935227712, 'source_is_minimal': False, 'source_label': '1856.1.h.d.1855.1', 'source_level': 1856, 'target_conrey_index': 463, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504080680485328, 'target_is_minimal': True, 'target_label': '464.1.h.b.463.1', 'target_level': 464, 'twist_class_label': '464.1.h.b.463.1', 'twist_class_level': 464, 'twisting_char_label': '232.173', 'twisting_conrey_index': 173, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 2256750
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 2}
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id: 2256751
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 13511279935227712, 'p': 3}
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id: 2256752
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 5}
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id: 2256753
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 7}
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id: 2256754
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 13511279935227712, 'p': 11}
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id: 2256755
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 13}
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id: 2256756
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 17}
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id: 2256757
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 19}
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id: 2256758
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 23}
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id: 2256759
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 29}
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id: 2256760
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 13511279935227712, 'p': 31}
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id: 2256761
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 37}
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id: 2256762
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 41}
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id: 2256763
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 13511279935227712, 'p': 43}
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id: 2256764
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 13511279935227712, 'p': 47}
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id: 2256765
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 53}
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id: 2256766
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 59}
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id: 2256767
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 61}
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id: 2256768
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 67}
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id: 2256769
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 71}
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id: 2256770
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 73}
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id: 2256771
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 13511279935227712, 'p': 79}
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id: 2256772
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 83}
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id: 2256773
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 89}
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id: 2256774
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511279935227712, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 8, 'hecke_orbit': 4, 'label': '1856.1.h.d', 'level': 1856, 'portrait': 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', 'weight': 1}
-
mf_hecke_traces • Show schema
Hide schema
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id: 142799000
{'hecke_orbit_code': 13511279935227712, 'n': 1, 'trace_an': 2}
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id: 142799001
{'hecke_orbit_code': 13511279935227712, 'n': 2, 'trace_an': 0}
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id: 142799002
{'hecke_orbit_code': 13511279935227712, 'n': 3, 'trace_an': 0}
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id: 142799003
{'hecke_orbit_code': 13511279935227712, 'n': 4, 'trace_an': 0}
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id: 142799004
{'hecke_orbit_code': 13511279935227712, 'n': 5, 'trace_an': 2}
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id: 142799005
{'hecke_orbit_code': 13511279935227712, 'n': 6, 'trace_an': 0}
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id: 142799006
{'hecke_orbit_code': 13511279935227712, 'n': 7, 'trace_an': 0}
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id: 142799007
{'hecke_orbit_code': 13511279935227712, 'n': 8, 'trace_an': 0}
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id: 142799008
{'hecke_orbit_code': 13511279935227712, 'n': 9, 'trace_an': 4}
-
id: 142799009
{'hecke_orbit_code': 13511279935227712, 'n': 10, 'trace_an': 0}
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id: 142799010
{'hecke_orbit_code': 13511279935227712, 'n': 11, 'trace_an': 0}
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id: 142799011
{'hecke_orbit_code': 13511279935227712, 'n': 12, 'trace_an': 0}
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id: 142799012
{'hecke_orbit_code': 13511279935227712, 'n': 13, 'trace_an': -2}
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id: 142799013
{'hecke_orbit_code': 13511279935227712, 'n': 14, 'trace_an': 0}
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id: 142799014
{'hecke_orbit_code': 13511279935227712, 'n': 15, 'trace_an': 0}
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id: 142799015
{'hecke_orbit_code': 13511279935227712, 'n': 16, 'trace_an': 0}
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id: 142799016
{'hecke_orbit_code': 13511279935227712, 'n': 17, 'trace_an': 0}
-
id: 142799017
{'hecke_orbit_code': 13511279935227712, 'n': 18, 'trace_an': 0}
-
id: 142799018
{'hecke_orbit_code': 13511279935227712, 'n': 19, 'trace_an': 0}
-
id: 142799019
{'hecke_orbit_code': 13511279935227712, 'n': 20, 'trace_an': 0}
-
id: 142799020
{'hecke_orbit_code': 13511279935227712, 'n': 21, 'trace_an': 0}
-
id: 142799021
{'hecke_orbit_code': 13511279935227712, 'n': 22, 'trace_an': 0}
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id: 142799022
{'hecke_orbit_code': 13511279935227712, 'n': 23, 'trace_an': 0}
-
id: 142799023
{'hecke_orbit_code': 13511279935227712, 'n': 24, 'trace_an': 0}
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id: 142799024
{'hecke_orbit_code': 13511279935227712, 'n': 25, 'trace_an': 0}
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{'hecke_orbit_code': 13511279935227712, 'n': 988, 'trace_an': 0}
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id: 142799988
{'hecke_orbit_code': 13511279935227712, 'n': 989, 'trace_an': 0}
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id: 142799989
{'hecke_orbit_code': 13511279935227712, 'n': 990, 'trace_an': 0}
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id: 142799990
{'hecke_orbit_code': 13511279935227712, 'n': 991, 'trace_an': 0}
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id: 142799991
{'hecke_orbit_code': 13511279935227712, 'n': 992, 'trace_an': 0}
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id: 142799992
{'hecke_orbit_code': 13511279935227712, 'n': 993, 'trace_an': 6}
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id: 142799993
{'hecke_orbit_code': 13511279935227712, 'n': 994, 'trace_an': 0}
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id: 142799994
{'hecke_orbit_code': 13511279935227712, 'n': 995, 'trace_an': 0}
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id: 142799995
{'hecke_orbit_code': 13511279935227712, 'n': 996, 'trace_an': 0}
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id: 142799996
{'hecke_orbit_code': 13511279935227712, 'n': 997, 'trace_an': 0}
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id: 142799997
{'hecke_orbit_code': 13511279935227712, 'n': 998, 'trace_an': 0}
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id: 142799998
{'hecke_orbit_code': 13511279935227712, 'n': 999, 'trace_an': 0}
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id: 142799999
{'hecke_orbit_code': 13511279935227712, 'n': 1000, 'trace_an': 0}