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mf_newforms • Show schema
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{'Nk2': 18720, 'analytic_conductor': 37.36998814595922, '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': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4680, 1, [3511, 2341, 2081, 937, 1081], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 33, 'field_disc_factorization': [[3, 1], [11, 1]], 'field_poly': [-8, -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, [-8, -1, 1]], [11, [-8, -1, 1]], [17, [-6, 3, 1]], [19, [-32, 2, 1]]], 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482044488, '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': '4680.2.a.bf', 'level': 4680, '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.n', 'nf_label': '2.2.33.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+\\beta q^{7}+\\beta q^{11}-q^{13}+(-2+\\cdots)q^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4680.2.a', 'trace_display': [0, 0, 2, 1], 'trace_hash': 1959148366390121894, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.047', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.028', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.197', 'prec': 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mf_hecke_cc • Show schema
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'embedding_index': 2, 'embedding_m': 2, 'embedding_root_imag': 0.0, 'embedding_root_real': 3.3722813232690143, 'hecke_orbit': 32, 'hecke_orbit_code': 139611588482044488, 'label': '4680.2.a.bf.1.2', 'level': 4680, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 5, 4], [[[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]], 3, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 3, 1], [[[2, -1], [3, -1], [5, 1], [13, 1]], 4, 3], [[[2, 1], [3, -1], [5, -1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [5, 1], [13, -1]], 3, 1], [[[2, 1], [3, -1], [5, 1], [13, -1]], 4, 4], [[[2, 1], [3, 1], [5, 1], [13, 1]], 3, 2], [[[2, -1], [3, 1], [5, 1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, -1], [13, 1]], 4, 2], [[[2, -1], [3, -1], [5, 1], [13, -1]], 4, 3], [[[2, -1], [3, -1], [5, -1], [13, 1]], 4, 3], [[[2, 1], [3, 1], [5, -1], [13, 1]], 4, 2], [[[2, 1], [3, -1], [5, 1], [13, 1]], 5, 2]], 'ALdims': [3, 3, 4, 2, 5, 4, 4, 6, 4, 2, 3, 3, 4, 4, 4, 5], 'Nk2': 18720, 'analytic_conductor': 37.36998814595922, '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': [4680, 1, [3511, 2341, 2081, 937, 1081], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 977, 'dim': 60, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33559112, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3], 'label': '4680.2.a', 'level': 4680, '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': 1040, 'mf_new_dim': 60, 'num_forms': 38, 'plus_dim': 27, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 2016, 'trace_bound': 19, 'trace_display': [0, 0, 2, 0], 'traces': [60, 0, 0, 0, 2, 0, 0, 0, 0, 0, 4, 0, -2, 0, 0, 0, -16, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -16, 0, -12, 0, 0, 0, 0, 0, 60, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 16, 0, 0, 0, 4, 0, -8, 0, 0, 0, 16, 0, 36, 0, 0, 0, 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mf_twists_cc • Show schema
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id: 48755270
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044488, 'source_is_minimal': False, 'source_label': '4680.2.a.bf.1.2', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 139611588482044488, 'target_is_minimal': False, 'target_label': '4680.2.a.bf.1.2', 'target_level': 4680, 'twist_class_label': '1560.2.a.n.1.2', 'twist_class_level': 1560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48755271
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044488, 'source_is_minimal': False, 'source_label': '4680.2.a.bf.1.2', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189372440, 'target_is_minimal': True, 'target_label': '1560.2.a.n.1.2', 'target_level': 1560, 'twist_class_label': '1560.2.a.n.1.2', 'twist_class_level': 1560, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48755272
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044488, 'source_is_minimal': False, 'source_label': '4680.2.a.bf.1.2', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 297237575440016528, 'target_is_minimal': False, 'target_label': '9360.2.a.co.1.1', 'target_level': 9360, 'twist_class_label': '1560.2.a.n.1.2', 'twist_class_level': 1560, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48755273
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044488, 'source_is_minimal': False, 'source_label': '4680.2.a.bf.1.2', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 130604389227301936, 'target_is_minimal': False, 'target_label': '3120.2.a.bd.1.1', 'target_level': 3120, 'twist_class_label': '1560.2.a.n.1.2', 'twist_class_level': 1560, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48755274
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 139611588482044488, 'source_is_minimal': False, 'source_label': '4680.2.a.bf.1.2', 'source_level': 4680, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 121597189972565624, 'target_is_minimal': False, 'target_label': '7800.2.a.bb.1.1', 'target_level': 7800, 'twist_class_label': '1560.2.a.n.1.2', 'twist_class_level': 1560, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3673650
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 2}
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id: 3673651
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 3}
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id: 3673652
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 5}
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id: 3673653
{'charpoly_factorization': [[[-8, -1, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 7}
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id: 3673654
{'charpoly_factorization': [[[-8, -1, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 11}
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id: 3673655
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 13}
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id: 3673656
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 17}
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id: 3673657
{'charpoly_factorization': [[[-32, 2, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 19}
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id: 3673658
{'charpoly_factorization': [[[4, -7, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 23}
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id: 3673659
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 29}
-
id: 3673660
{'charpoly_factorization': [[[-32, -2, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 31}
-
id: 3673661
{'charpoly_factorization': [[[-2, -5, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 37}
-
id: 3673662
{'charpoly_factorization': [[[-6, 3, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 41}
-
id: 3673663
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 43}
-
id: 3673664
{'charpoly_factorization': [[[16, -14, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 47}
-
id: 3673665
{'charpoly_factorization': [[[34, -13, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 53}
-
id: 3673666
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 59}
-
id: 3673667
{'charpoly_factorization': [[[-74, 1, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 61}
-
id: 3673668
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 67}
-
id: 3673669
{'charpoly_factorization': [[[64, -17, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 71}
-
id: 3673670
{'charpoly_factorization': [[[-116, 8, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 73}
-
id: 3673671
{'charpoly_factorization': [[[-200, 5, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 79}
-
id: 3673672
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 139611588482044488, 'p': 83}
-
id: 3673673
{'charpoly_factorization': [[[102, 21, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 89}
-
id: 3673674
{'charpoly_factorization': [[[22, -11, 1], 1]], 'hecke_orbit_code': 139611588482044488, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 32, 'label': '4680.2.a.bf', 'level': 4680, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 266654000
{'hecke_orbit_code': 139611588482044488, 'n': 1, 'trace_an': 2}
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id: 266654001
{'hecke_orbit_code': 139611588482044488, 'n': 2, 'trace_an': 0}
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id: 266654002
{'hecke_orbit_code': 139611588482044488, 'n': 3, 'trace_an': 0}
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id: 266654003
{'hecke_orbit_code': 139611588482044488, 'n': 4, 'trace_an': 0}
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id: 266654004
{'hecke_orbit_code': 139611588482044488, 'n': 5, 'trace_an': 2}
-
id: 266654005
{'hecke_orbit_code': 139611588482044488, 'n': 6, 'trace_an': 0}
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id: 266654006
{'hecke_orbit_code': 139611588482044488, 'n': 7, 'trace_an': 1}
-
id: 266654007
{'hecke_orbit_code': 139611588482044488, 'n': 8, 'trace_an': 0}
-
id: 266654008
{'hecke_orbit_code': 139611588482044488, 'n': 9, 'trace_an': 0}
-
id: 266654009
{'hecke_orbit_code': 139611588482044488, 'n': 10, 'trace_an': 0}
-
id: 266654010
{'hecke_orbit_code': 139611588482044488, 'n': 11, 'trace_an': 1}
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id: 266654011
{'hecke_orbit_code': 139611588482044488, 'n': 12, 'trace_an': 0}
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id: 266654012
{'hecke_orbit_code': 139611588482044488, 'n': 13, 'trace_an': -2}
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id: 266654013
{'hecke_orbit_code': 139611588482044488, 'n': 14, 'trace_an': 0}
-
id: 266654014
{'hecke_orbit_code': 139611588482044488, 'n': 15, 'trace_an': 0}
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id: 266654015
{'hecke_orbit_code': 139611588482044488, 'n': 16, 'trace_an': 0}
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id: 266654016
{'hecke_orbit_code': 139611588482044488, 'n': 17, 'trace_an': -3}
-
id: 266654017
{'hecke_orbit_code': 139611588482044488, 'n': 18, 'trace_an': 0}
-
id: 266654018
{'hecke_orbit_code': 139611588482044488, 'n': 19, 'trace_an': -2}
-
id: 266654019
{'hecke_orbit_code': 139611588482044488, 'n': 20, 'trace_an': 0}
-
id: 266654020
{'hecke_orbit_code': 139611588482044488, 'n': 21, 'trace_an': 0}
-
id: 266654021
{'hecke_orbit_code': 139611588482044488, 'n': 22, 'trace_an': 0}
-
id: 266654022
{'hecke_orbit_code': 139611588482044488, 'n': 23, 'trace_an': 7}
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id: 266654023
{'hecke_orbit_code': 139611588482044488, 'n': 24, 'trace_an': 0}
-
id: 266654024
{'hecke_orbit_code': 139611588482044488, 'n': 25, 'trace_an': 2}
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id: 266654025
{'hecke_orbit_code': 139611588482044488, 'n': 26, 'trace_an': 0}
-
id: 266654026
{'hecke_orbit_code': 139611588482044488, 'n': 27, 'trace_an': 0}
-
id: 266654027
{'hecke_orbit_code': 139611588482044488, 'n': 28, 'trace_an': 0}
-
id: 266654028
{'hecke_orbit_code': 139611588482044488, 'n': 29, 'trace_an': 4}
-
id: 266654029
{'hecke_orbit_code': 139611588482044488, 'n': 30, 'trace_an': 0}
-
id: 266654030
{'hecke_orbit_code': 139611588482044488, 'n': 31, 'trace_an': 2}
-
id: 266654031
{'hecke_orbit_code': 139611588482044488, 'n': 32, 'trace_an': 0}
-
id: 266654032
{'hecke_orbit_code': 139611588482044488, 'n': 33, 'trace_an': 0}
-
id: 266654033
{'hecke_orbit_code': 139611588482044488, 'n': 34, 'trace_an': 0}
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id: 266654034
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