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{'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [11, -1], [19, -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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 30, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [-2916, 0, 116568, 0, -1368509, 0, 7123036, 0, -19735815, 0, 32143513, 0, -33035145, 0, 22578273, 0, -10632298, 0, 3521942, 0, -826847, 0, 136754, 0, -15571, 0, 1161, 0, -51, 0, 1]], [7, [-1597441024, 0, 15391012864, 0, -60878175104, 0, 129891767104, 0, -165510791412, 0, 132013622516, 0, -67611340281, 0, 22690237315, 0, -5086884825, 0, 773258086, 0, -80248794, 0, 5660203, 0, -265743, 0, 7918, 0, -135, 0, 1]]], 'hecke_orbit': 29, 'hecke_orbit_code': 126100789599933545, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '5225.2.a.bc', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '1045.2.b.e', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 30, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5225.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [30, 0, 0, 42, 0, 12, 0, 0, 40, 0, 30, 0, 0, -4, 0, 66, 0, 0, 30, 0, 14, 0, 0, 22, 0, 0, 0, 0, 30, 0, 26, 0, 0, 12, 0, 78, 0, 0, 64, 0, 22, 0, 0, 42, 0, 28, 0, 0, 60, 0, 64, 0, 0, 62, 0, -32, 0, 0, -14, 0, 78, 0, 0, 90, 0, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [32, 37, 35, 30, 41, 31, 35, 45], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [2, 3, 3, 3, 3, 3, 3, 3], 'ALdims_old': [32, 47, 43, 39, 36, 39, 37, 30], 'Nk2': 20900, 'analytic_conductor': 41.721835056119, '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': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 286, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33559657, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 16, 20, 22, 30], 'label': '5225.2.a', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 612, 'mf_new_dim': 286, 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mf_twists_cc • Show schema
Hide schema
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id: 48672561
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 10, 'source_hecke_orbit_code': 126100789599933545, 'source_is_minimal': False, 'source_label': '5225.2.a.bc.1.10', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 10, 'target_hecke_orbit_code': 126100789599933545, 'target_is_minimal': False, 'target_label': '5225.2.a.bc.1.10', 'target_level': 5225, 'twist_class_label': '1045.2.b.e.419.10', 'twist_class_level': 1045, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48672562
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 10, 'source_hecke_orbit_code': 126100789599933545, 'source_is_minimal': False, 'source_label': '5225.2.a.bc.1.10', 'source_level': 5225, 'target_conrey_index': 419, 'target_dim': 30, 'target_embedding_index': 10, 'target_hecke_orbit_code': 18014467262514197, 'target_is_minimal': True, 'target_label': '1045.2.b.e.419.10', 'target_level': 1045, 'twist_class_label': '1045.2.b.e.419.10', 'twist_class_level': 1045, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48672563
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 10, 'source_hecke_orbit_code': 126100789599933545, 'source_is_minimal': False, 'source_label': '5225.2.a.bc.1.10', 'source_level': 5225, 'target_conrey_index': 419, 'target_dim': 30, 'target_embedding_index': 21, 'target_hecke_orbit_code': 18014467262514197, 'target_is_minimal': True, 'target_label': '1045.2.b.e.419.21', 'target_level': 1045, 'twist_class_label': '1045.2.b.e.419.10', 'twist_class_level': 1045, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48672564
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 10, 'source_hecke_orbit_code': 126100789599933545, 'source_is_minimal': False, 'source_label': '5225.2.a.bc.1.10', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 21, 'target_hecke_orbit_code': 126100789599933545, 'target_is_minimal': False, 'target_label': '5225.2.a.bc.1.21', 'target_level': 5225, 'twist_class_label': '1045.2.b.e.419.10', 'twist_class_level': 1045, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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hecke_orbit_code 126100789599933545 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 29, 'label': '5225.2.a.bc', 'level': 5225, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 67931377
{'hecke_orbit_code': 126100789599933545, 'n': 1, 'trace_an': 30}
-
id: 67931378
{'hecke_orbit_code': 126100789599933545, 'n': 2, 'trace_an': 0}
-
id: 67931379
{'hecke_orbit_code': 126100789599933545, 'n': 3, 'trace_an': 0}
-
id: 67931380
{'hecke_orbit_code': 126100789599933545, 'n': 4, 'trace_an': 42}
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id: 67931381
{'hecke_orbit_code': 126100789599933545, 'n': 5, 'trace_an': 0}
-
id: 67931382
{'hecke_orbit_code': 126100789599933545, 'n': 6, 'trace_an': 12}
-
id: 67931383
{'hecke_orbit_code': 126100789599933545, 'n': 7, 'trace_an': 0}
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id: 67931384
{'hecke_orbit_code': 126100789599933545, 'n': 8, 'trace_an': 0}
-
id: 67931385
{'hecke_orbit_code': 126100789599933545, 'n': 9, 'trace_an': 40}
-
id: 67931386
{'hecke_orbit_code': 126100789599933545, 'n': 10, 'trace_an': 0}
-
id: 67931387
{'hecke_orbit_code': 126100789599933545, 'n': 11, 'trace_an': 30}
-
id: 67931388
{'hecke_orbit_code': 126100789599933545, 'n': 12, 'trace_an': 0}
-
id: 67931389
{'hecke_orbit_code': 126100789599933545, 'n': 13, 'trace_an': 0}
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id: 67931390
{'hecke_orbit_code': 126100789599933545, 'n': 14, 'trace_an': -4}
-
id: 67931391
{'hecke_orbit_code': 126100789599933545, 'n': 15, 'trace_an': 0}
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