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{'Nk2': 25392, 'analytic_conductor': 93.63603117911036, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, 1], [23, 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': [1587, 1, [530, 1063], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 30, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-931503625216, -464840677376, 9983984274944, 2226596901888, -29939410271808, -8745802301440, 36217209693584, 10664036378416, -23663222088740, -6371937098036, 9554402036977, 2242422123958, -2563812730914, -508305408462, 476799834432, 77877537488, -62916158990, -8270991906, 5953232242, 614631882, -403793323, -31796204, 19401661, 1119756, -642656, -25550, 13919, 340, -177, -2, 1]], [5, [-71743694260131178591161239, 7399459130248798743574988, 103010275217066623008281683, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [64, 62, 56, 70], 'Nk2': 25392, 'analytic_conductor': 93.63603117911036, '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': [1587, 1, [530, 1063], [1, 1]], 'conrey_index': 1, 'cusp_dim': 528, 'dim': 252, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 67110451, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 4, 4, 5, 5, 6, 6, 6, 6, 7, 7, 10, 14, 16, 24, 30, 30, 30, 30], 'label': '1587.4.a', 'level': 1587, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 23], 'level_radical': 69, 'mf_dim': 576, 'mf_new_dim': 252, 'num_forms': 23, 'plus_dim': 134, 'prim_orbit_index': 1, 'relative_dim': 252, 'sturm_bound': 736, 'trace_bound': 8, 'trace_display': [4, 0, 16, 20], 'traces': [252, 4, 0, 1000, 16, -12, 20, -36, 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mf_twists_cc • Show schema
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id: 48464532
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 9, 'source_hecke_orbit_code': 99079191869261363, 'source_is_minimal': False, 'source_label': '1587.4.a.w.1.9', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 9, 'target_hecke_orbit_code': 99079191869261363, 'target_is_minimal': False, 'target_label': '1587.4.a.w.1.9', 'target_level': 1587, 'twist_class_label': '69.4.e.b.13.5', 'twist_class_level': 69, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 48464533
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 9, 'source_hecke_orbit_code': 99079191869261363, 'source_is_minimal': False, 'source_label': '1587.4.a.w.1.9', 'source_level': 1587, 'target_conrey_index': 16, 'target_dim': 60, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503874572386373, 'target_is_minimal': True, 'target_label': '69.4.e.b.16.5', 'target_level': 69, 'twist_class_label': '69.4.e.b.13.5', 'twist_class_level': 69, 'twisting_char_label': '23.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 48464534
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 9, 'source_hecke_orbit_code': 99079191869261363, 'source_is_minimal': False, 'source_label': '1587.4.a.w.1.9', 'source_level': 1587, 'target_conrey_index': 13, 'target_dim': 60, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503874572386373, 'target_is_minimal': True, 'target_label': '69.4.e.b.13.5', 'target_level': 69, 'twist_class_label': '69.4.e.b.13.5', 'twist_class_level': 69, 'twisting_char_label': '23.6', 'twisting_conrey_index': 6, 'weight': 4}
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id: 48464535
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 9, 'source_hecke_orbit_code': 99079191869261363, 'source_is_minimal': False, 'source_label': '1587.4.a.w.1.9', 'source_level': 1587, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 9, 'target_hecke_orbit_code': 94575592241890867, 'target_is_minimal': False, 'target_label': '1587.4.a.v.1.9', 'target_level': 1587, 'twist_class_label': '69.4.e.b.13.5', 'twist_class_level': 69, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 4}
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id: 48464536
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 9, 'source_hecke_orbit_code': 99079191869261363, 'source_is_minimal': False, 'source_label': '1587.4.a.w.1.9', 'source_level': 1587, 'target_conrey_index': 82, 'target_dim': 60, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149450293455, 'target_is_minimal': False, 'target_label': '207.4.i.b.82.2', 'target_level': 207, 'twist_class_label': '69.4.e.b.13.5', 'twist_class_level': 69, 'twisting_char_label': '69.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 48464537
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 9, 'source_hecke_orbit_code': 99079191869261363, 'source_is_minimal': False, 'source_label': '1587.4.a.w.1.9', 'source_level': 1587, 'target_conrey_index': 154, 'target_dim': 60, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4504149450293455, 'target_is_minimal': False, 'target_label': '207.4.i.b.154.2', 'target_level': 207, 'twist_class_label': '69.4.e.b.13.5', 'twist_class_level': 69, 'twisting_char_label': '69.50', 'twisting_conrey_index': 50, 'weight': 4}
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hecke_orbit_code 99079191869261363 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '1587.4.a.w', 'level': 1587, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 65756953
{'hecke_orbit_code': 99079191869261363, 'n': 1, 'trace_an': 30}
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id: 65756954
{'hecke_orbit_code': 99079191869261363, 'n': 2, 'trace_an': 2}
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id: 65756955
{'hecke_orbit_code': 99079191869261363, 'n': 3, 'trace_an': -90}
-
id: 65756956
{'hecke_orbit_code': 99079191869261363, 'n': 4, 'trace_an': 118}
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id: 65756957
{'hecke_orbit_code': 99079191869261363, 'n': 5, 'trace_an': 52}
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id: 65756958
{'hecke_orbit_code': 99079191869261363, 'n': 6, 'trace_an': -6}
-
id: 65756959
{'hecke_orbit_code': 99079191869261363, 'n': 7, 'trace_an': -2}
-
id: 65756960
{'hecke_orbit_code': 99079191869261363, 'n': 8, 'trace_an': 18}
-
id: 65756961
{'hecke_orbit_code': 99079191869261363, 'n': 9, 'trace_an': 270}
-
id: 65756962
{'hecke_orbit_code': 99079191869261363, 'n': 10, 'trace_an': -39}
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id: 65756963
{'hecke_orbit_code': 99079191869261363, 'n': 11, 'trace_an': 126}
-
id: 65756964
{'hecke_orbit_code': 99079191869261363, 'n': 12, 'trace_an': -354}
-
id: 65756965
{'hecke_orbit_code': 99079191869261363, 'n': 13, 'trace_an': 14}
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id: 65756966
{'hecke_orbit_code': 99079191869261363, 'n': 14, 'trace_an': 42}
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id: 65756967
{'hecke_orbit_code': 99079191869261363, 'n': 15, 'trace_an': -156}
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id: 65756968
{'hecke_orbit_code': 99079191869261363, 'n': 16, 'trace_an': 438}
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id: 65756969
{'hecke_orbit_code': 99079191869261363, 'n': 17, 'trace_an': 340}
-
id: 65756970
{'hecke_orbit_code': 99079191869261363, 'n': 18, 'trace_an': 18}
-
id: 65756971
{'hecke_orbit_code': 99079191869261363, 'n': 19, 'trace_an': -156}
-
id: 65756972
{'hecke_orbit_code': 99079191869261363, 'n': 20, 'trace_an': 617}
-
id: 65756973
{'hecke_orbit_code': 99079191869261363, 'n': 21, 'trace_an': 6}
-
id: 65756974
{'hecke_orbit_code': 99079191869261363, 'n': 22, 'trace_an': 311}
-
id: 65756975
{'hecke_orbit_code': 99079191869261363, 'n': 23, 'trace_an': 0}
-
id: 65756976
{'hecke_orbit_code': 99079191869261363, 'n': 24, 'trace_an': -54}
-
id: 65756977
{'hecke_orbit_code': 99079191869261363, 'n': 25, 'trace_an': 624}
-
id: 65756978
{'hecke_orbit_code': 99079191869261363, 'n': 26, 'trace_an': 398}
-
id: 65756979
{'hecke_orbit_code': 99079191869261363, 'n': 27, 'trace_an': -810}
-
id: 65756980
{'hecke_orbit_code': 99079191869261363, 'n': 28, 'trace_an': 468}
-
id: 65756981
{'hecke_orbit_code': 99079191869261363, 'n': 29, 'trace_an': -196}
-
id: 65756982
{'hecke_orbit_code': 99079191869261363, 'n': 30, 'trace_an': 117}
-
id: 65756983
{'hecke_orbit_code': 99079191869261363, 'n': 31, 'trace_an': -380}
-
id: 65756984
{'hecke_orbit_code': 99079191869261363, 'n': 32, 'trace_an': 46}
-
id: 65756985
{'hecke_orbit_code': 99079191869261363, 'n': 33, 'trace_an': -378}
-
id: 65756986
{'hecke_orbit_code': 99079191869261363, 'n': 34, 'trace_an': 64}
-
id: 65756987
{'hecke_orbit_code': 99079191869261363, 'n': 35, 'trace_an': -636}
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