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mf_newforms • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 1, 3]], 'cm_discs': [], 'conrey_index': 79, 'conrey_indexes': [79, 235], 'dim': 8, 'field_disc': 4868829729, 'field_disc_factorization': [[3, 4], [7753, 2]], 'field_poly': [81, -54, -9, 15, -8, 5, -1, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [49, 28, 65, -14, 46, -1, 8, -1, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511348671480081, 'hecke_ring_generator_nbound': 7, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '273.2.i.d', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '273.2.i.d', 'nf_label': '8.0.4868829729.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{3}+\\beta _{6})q^{2}+\\beta _{4}q^{3}+(\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '273.2.i', 'trace_display': [1, -4, -3, 9], 'trace_hash': 961388108542530251, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.594', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.065', 'prec': 17}, {'__RealLiteral__': 0, 'data': '232.133', 'prec': 24}, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 1, 3]], 'conrey_index': 79, 'cusp_dim': 68, 'dim': 32, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789368593, 'hecke_orbit_dims': [2, 6, 6, 8, 10], 'label': '273.2.i', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 84, 'mf_new_dim': 32, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 74, 'trace_bound': 2, 'trace_display': [4, 0, -4, 8], 'traces': [32, 4, 0, -12, -4, -8, 8, 0, -16, -16, 4, 0, -8, 16, 8, -4, 4, 4, 16, -16, 0, -16, -4, 12, -20, 0, 0, -40, -16, -8, 12, 4, -4, 16, 20, 24, 16, -32, 0, -4, -32, -12, 16, 32, -4, 40, -36, 32, 12, 0, -4, 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mf_twists_cc • Show schema
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id: 43356262
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 79, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671480081, 'target_is_minimal': True, 'target_label': '273.2.i.d.79.2', 'target_level': 273, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 43356263
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 352, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518616645698355, 'target_is_minimal': False, 'target_label': '819.2.j.f.352.3', 'target_level': 819, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356264
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 76561193698854775, 'target_is_minimal': False, 'target_label': '1911.2.a.r.1.3', 'target_level': 1911, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356265
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511348671480081, 'target_is_minimal': True, 'target_label': '273.2.i.d.235.2', 'target_level': 273, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 43356266
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 72057594071484279, 'target_is_minimal': False, 'target_label': '1911.2.a.q.1.3', 'target_level': 1911, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43356267
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991527525, 'target_is_minimal': False, 'target_label': '5733.2.a.bj.1.2', 'target_level': 5733, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 43356268
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 162129586618898021, 'target_is_minimal': False, 'target_label': '5733.2.a.bk.1.2', 'target_level': 5733, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 43356269
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 79, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 13511348671480081, 'source_is_minimal': True, 'source_label': '273.2.i.d.79.2', 'source_level': 273, 'target_conrey_index': 235, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 22518616645698355, 'target_is_minimal': False, 'target_label': '819.2.j.f.235.3', 'target_level': 819, 'twist_class_label': '273.2.i.d.79.2', 'twist_class_level': 273, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 623975
{'charpoly_factorization': [[[49, 28, 65, -14, 46, -1, 8, -1, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 2}
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id: 623976
{'charpoly_factorization': [[[1, 1, 1], 4]], 'hecke_orbit_code': 13511348671480081, 'p': 3}
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id: 623977
{'charpoly_factorization': [[[16, -36, 97, 12, 39, 6, 13, 3, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 5}
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id: 623978
{'charpoly_factorization': [[[2401, -3087, 2499, -1407, 611, -201, 51, -9, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 7}
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id: 623979
{'charpoly_factorization': [[[7921, 8455, 7156, 2707, 910, 106, 37, 4, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 11}
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id: 623980
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 13511348671480081, 'p': 13}
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id: 623981
{'charpoly_factorization': [[[3025, -2915, 4184, 1105, 676, 56, 29, 2, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 17}
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id: 623982
{'charpoly_factorization': [[[73441, -47154, 41116, 3708, 2373, 108, 76, 6, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 19}
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id: 623983
{'charpoly_factorization': [[[62500, 7250, 13591, 521, 2467, 146, 67, -4, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 23}
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id: 623984
{'charpoly_factorization': [[[181, -176, 15, 13, 1], 2]], 'hecke_orbit_code': 13511348671480081, 'p': 29}
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id: 623985
{'charpoly_factorization': [[[33856, 5704, 8873, -2069, 1603, -148, 47, 2, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 31}
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id: 623986
{'charpoly_factorization': [[[238144, -230824, 172001, -55018, 14089, -416, 131, -5, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 37}
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id: 623987
{'charpoly_factorization': [[[-320, 173, -7, -8, 1], 2]], 'hecke_orbit_code': 13511348671480081, 'p': 41}
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id: 623988
{'charpoly_factorization': [[[-9050, 2227, -73, -16, 1], 2]], 'hecke_orbit_code': 13511348671480081, 'p': 43}
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id: 623989
{'charpoly_factorization': [[[760384, 219744, 96640, 16584, 6096, 1074, 187, 15, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 47}
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id: 623990
{'charpoly_factorization': [[[3222025, 669535, 370684, -40937, 15592, -488, 133, -2, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 53}
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id: 623991
{'charpoly_factorization': [[[366025, -65945, 83876, 37171, 12586, 2162, 281, 20, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 59}
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id: 623992
{'charpoly_factorization': [[[483025, 74365, 77474, 17635, 11860, 2114, 305, 20, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 61}
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id: 623993
{'charpoly_factorization': [[[25, 5, 116, 77, 544, 232, 77, 10, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 67}
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id: 623994
{'charpoly_factorization': [[[919, 187, -105, -2, 1], 2]], 'hecke_orbit_code': 13511348671480081, 'p': 71}
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id: 623995
{'charpoly_factorization': [[[2500, -4050, 5011, -2511, 1011, -162, 31, 0, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 73}
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id: 623996
{'charpoly_factorization': [[[556516, 311082, 137335, 29385, 5649, 540, 85, 6, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 79}
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id: 623997
{'charpoly_factorization': [[[16984, 2317, -211, -16, 1], 2]], 'hecke_orbit_code': 13511348671480081, 'p': 83}
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id: 623998
{'charpoly_factorization': [[[246866944, 106008864, 31066969, 4604616, 486591, 33426, 1681, 51, 1], 1]], 'hecke_orbit_code': 13511348671480081, 'p': 89}
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id: 623999
{'charpoly_factorization': [[[-1802, 805, -52, -13, 1], 2]], 'hecke_orbit_code': 13511348671480081, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 4, 'label': '273.2.i.d', 'level': 273, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 143224000
{'hecke_orbit_code': 13511348671480081, 'n': 1, 'trace_an': 8}
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id: 143224001
{'hecke_orbit_code': 13511348671480081, 'n': 2, 'trace_an': 1}
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id: 143224002
{'hecke_orbit_code': 13511348671480081, 'n': 3, 'trace_an': -4}
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id: 143224003
{'hecke_orbit_code': 13511348671480081, 'n': 4, 'trace_an': -7}
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id: 143224004
{'hecke_orbit_code': 13511348671480081, 'n': 5, 'trace_an': -3}
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id: 143224005
{'hecke_orbit_code': 13511348671480081, 'n': 6, 'trace_an': -2}
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id: 143224006
{'hecke_orbit_code': 13511348671480081, 'n': 7, 'trace_an': 9}
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id: 143224007
{'hecke_orbit_code': 13511348671480081, 'n': 8, 'trace_an': -12}
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id: 143224008
{'hecke_orbit_code': 13511348671480081, 'n': 9, 'trace_an': -4}
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id: 143224009
{'hecke_orbit_code': 13511348671480081, 'n': 10, 'trace_an': -14}
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id: 143224986
{'hecke_orbit_code': 13511348671480081, 'n': 987, 'trace_an': 11}
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id: 143224987
{'hecke_orbit_code': 13511348671480081, 'n': 988, 'trace_an': 86}
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id: 143224988
{'hecke_orbit_code': 13511348671480081, 'n': 989, 'trace_an': -152}
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id: 143224989
{'hecke_orbit_code': 13511348671480081, 'n': 990, 'trace_an': -2}
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id: 143224990
{'hecke_orbit_code': 13511348671480081, 'n': 991, 'trace_an': 8}
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id: 143224991
{'hecke_orbit_code': 13511348671480081, 'n': 992, 'trace_an': 101}
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id: 143224992
{'hecke_orbit_code': 13511348671480081, 'n': 993, 'trace_an': -78}
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id: 143224993
{'hecke_orbit_code': 13511348671480081, 'n': 994, 'trace_an': 197}
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id: 143224994
{'hecke_orbit_code': 13511348671480081, 'n': 995, 'trace_an': -2}
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id: 143224995
{'hecke_orbit_code': 13511348671480081, 'n': 996, 'trace_an': 87}
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id: 143224996
{'hecke_orbit_code': 13511348671480081, 'n': 997, 'trace_an': -48}
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id: 143224997
{'hecke_orbit_code': 13511348671480081, 'n': 998, 'trace_an': -116}
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id: 143224998
{'hecke_orbit_code': 13511348671480081, 'n': 999, 'trace_an': 5}
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id: 143224999
{'hecke_orbit_code': 13511348671480081, 'n': 1000, 'trace_an': -110}