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{'Nk2': 12480, 'analytic_conductor': 24.91332543063948, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, -1], [13, -1]], 'atkin_lehner_string': '+---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-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': [[7, [-4, -1, 1]], [11, [8, -7, 1]], [17, [-38, 1, 1]], [19, [-16, -2, 1]], [31, [-8, -6, 1]]], 'hecke_orbit': 33, 'hecke_orbit_code': 144115188109413424, 'hecke_ring_generator_nbound': 7, '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': False, 'label': '3120.2.a.bg', 'level': 3120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1560.2.a.o', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+q^{5}+\\beta q^{7}+q^{9}+(4-\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3120.2.a', 'trace_display': [0, 2, 2, 1], 'trace_hash': 583838379670440326, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.045', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.958', 'prec': 17}, {'__RealLiteral__': 0, 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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 2, 2], [[[2, -1], [3, 1], [5, 1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [5, -1], [13, -1]], 2, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 3, 3], [[[2, -1], [3, -1], [5, 1], [13, 1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 2, 2], [[[2, 1], [3, 1], [5, 1], [13, 1]], 1, 1], [[[2, -1], [3, 1], [5, 1], [13, 1]], 3, 3], [[[2, 1], [3, -1], [5, -1], [13, 1]], 1, 1], [[[2, -1], [3, -1], [5, 1], [13, -1]], 3, 1], [[[2, -1], [3, -1], [5, -1], [13, 1]], 3, 3], [[[2, 1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [13, 1]], 4, 2]], 'ALdims': [1, 5, 4, 2, 4, 2, 1, 5, 3, 2, 4, 3, 4, 3, 3, 2], 'Nk2': 12480, 'analytic_conductor': 24.91332543063948, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3120, 1, [1951, 2341, 2081, 2497, 2641], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 649, 'dim': 48, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19, 31], 'hecke_orbit_code': 33557552, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3], 'label': '3120.2.a', 'level': 3120, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 696, 'mf_new_dim': 48, 'num_forms': 36, 'plus_dim': 18, 'prim_orbit_index': 1, 'relative_dim': 48, 'sturm_bound': 1344, 'trace_bound': 13, 'trace_display': [0, 0, 0, -8], 'traces': [48, 0, 0, 0, 0, 0, -8, 0, 48, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 0, 0, -16, 0, 48, 0, 0, 0, 32, 0, -8, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 48, 0, -8, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 8, 0, 16, 0, 32, 0, 0, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48778071
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109413424, 'source_is_minimal': False, 'source_label': '3120.2.a.bg.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 144115188109413424, 'target_is_minimal': False, 'target_label': '3120.2.a.bg.1.1', 'target_level': 3120, 'twist_class_label': '1560.2.a.o.1.2', 'twist_class_level': 1560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48778072
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109413424, 'source_is_minimal': False, 'source_label': '3120.2.a.bg.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 270215977675793552, 'target_is_minimal': False, 'target_label': '9360.2.a.ci.1.1', 'target_level': 9360, 'twist_class_label': '1560.2.a.o.1.2', 'twist_class_level': 1560, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48778073
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109413424, 'source_is_minimal': False, 'source_label': '3120.2.a.bg.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816742936, 'target_is_minimal': True, 'target_label': '1560.2.a.o.1.2', 'target_level': 1560, 'twist_class_label': '1560.2.a.o.1.2', 'twist_class_level': 1560, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48778074
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109413424, 'source_is_minimal': False, 'source_label': '3120.2.a.bg.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 108086391090451016, 'target_is_minimal': False, 'target_label': '4680.2.a.y.1.2', 'target_level': 4680, 'twist_class_label': '1560.2.a.o.1.2', 'twist_class_level': 1560, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48778075
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 144115188109413424, 'source_is_minimal': False, 'source_label': '3120.2.a.bg.1.1', 'source_level': 3120, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227306616, 'target_is_minimal': False, 'target_label': '7800.2.a.bd.1.1', 'target_level': 7800, 'twist_class_label': '1560.2.a.o.1.2', 'twist_class_level': 1560, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3013875
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 144115188109413424, 'p': 2}
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id: 3013876
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109413424, 'p': 3}
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id: 3013877
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109413424, 'p': 5}
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id: 3013878
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 7}
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id: 3013879
{'charpoly_factorization': [[[8, -7, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 11}
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id: 3013880
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 144115188109413424, 'p': 13}
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id: 3013881
{'charpoly_factorization': [[[-38, 1, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 17}
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id: 3013882
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 19}
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id: 3013883
{'charpoly_factorization': [[[8, -7, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 23}
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id: 3013884
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 144115188109413424, 'p': 29}
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id: 3013885
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 31}
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id: 3013886
{'charpoly_factorization': [[[-106, 1, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 37}
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id: 3013887
{'charpoly_factorization': [[[-26, 7, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 41}
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id: 3013888
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 43}
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id: 3013889
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 47}
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id: 3013890
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 53}
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id: 3013891
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 144115188109413424, 'p': 59}
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id: 3013892
{'charpoly_factorization': [[[-18, 9, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 61}
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id: 3013893
{'charpoly_factorization': [[[-32, -12, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 67}
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id: 3013894
{'charpoly_factorization': [[[-36, -3, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 71}
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id: 3013895
{'charpoly_factorization': [[[-4, -16, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 73}
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id: 3013896
{'charpoly_factorization': [[[-104, 3, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 79}
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id: 3013897
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 144115188109413424, 'p': 83}
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id: 3013898
{'charpoly_factorization': [[[34, 17, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 89}
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id: 3013899
{'charpoly_factorization': [[[-50, 15, 1], 1]], 'hecke_orbit_code': 144115188109413424, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 33, 'label': '3120.2.a.bg', 'level': 3120, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 267514000
{'hecke_orbit_code': 144115188109413424, 'n': 1, 'trace_an': 2}
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id: 267514001
{'hecke_orbit_code': 144115188109413424, 'n': 2, 'trace_an': 0}
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id: 267514002
{'hecke_orbit_code': 144115188109413424, 'n': 3, 'trace_an': 2}
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id: 267514003
{'hecke_orbit_code': 144115188109413424, 'n': 4, 'trace_an': 0}
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id: 267514004
{'hecke_orbit_code': 144115188109413424, 'n': 5, 'trace_an': 2}
-
id: 267514005
{'hecke_orbit_code': 144115188109413424, 'n': 6, 'trace_an': 0}
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id: 267514006
{'hecke_orbit_code': 144115188109413424, 'n': 7, 'trace_an': 1}
-
id: 267514007
{'hecke_orbit_code': 144115188109413424, 'n': 8, 'trace_an': 0}
-
id: 267514008
{'hecke_orbit_code': 144115188109413424, 'n': 9, 'trace_an': 2}
-
id: 267514009
{'hecke_orbit_code': 144115188109413424, 'n': 10, 'trace_an': 0}
-
id: 267514010
{'hecke_orbit_code': 144115188109413424, 'n': 11, 'trace_an': 7}
-
id: 267514011
{'hecke_orbit_code': 144115188109413424, 'n': 12, 'trace_an': 0}
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id: 267514012
{'hecke_orbit_code': 144115188109413424, 'n': 13, 'trace_an': 2}
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id: 267514013
{'hecke_orbit_code': 144115188109413424, 'n': 14, 'trace_an': 0}
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id: 267514014
{'hecke_orbit_code': 144115188109413424, 'n': 15, 'trace_an': 2}
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id: 267514015
{'hecke_orbit_code': 144115188109413424, 'n': 16, 'trace_an': 0}
-
id: 267514016
{'hecke_orbit_code': 144115188109413424, 'n': 17, 'trace_an': -1}
-
id: 267514017
{'hecke_orbit_code': 144115188109413424, 'n': 18, 'trace_an': 0}
-
id: 267514018
{'hecke_orbit_code': 144115188109413424, 'n': 19, 'trace_an': 2}
-
id: 267514019
{'hecke_orbit_code': 144115188109413424, 'n': 20, 'trace_an': 0}
-
id: 267514020
{'hecke_orbit_code': 144115188109413424, 'n': 21, 'trace_an': 1}
-
id: 267514021
{'hecke_orbit_code': 144115188109413424, 'n': 22, 'trace_an': 0}
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id: 267514022
{'hecke_orbit_code': 144115188109413424, 'n': 23, 'trace_an': 7}
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id: 267514023
{'hecke_orbit_code': 144115188109413424, 'n': 24, 'trace_an': 0}
-
id: 267514024
{'hecke_orbit_code': 144115188109413424, 'n': 25, 'trace_an': 2}
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