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{'Nk2': 15004, 'analytic_conductor': 29.95188579818227, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[11, 1], [31, -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': [3751, 1, [2543, 2421], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 30, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [16, 992, 6448, -24028, -140832, 422096, 571105, -2248920, -620337, 5695636, -1016627, -8125137, 3615776, 7013445, -4608459, -3712132, 3344251, 1126767, -1526221, -126308, 449214, -35985, -83800, 17033, 9193, -2995, -462, 258, -4, -9, 1]], [3, [-10709, 136053, 1000819, -4545031, -7453231, 27766056, 31129608, -72332429, -73790430, 102744366, 103194001, -90718841, -91658152, 53612183, 54702136, -22112563, -22729010, 6501757, 6701055, -1370239, -1409164, 205055, 209604, -21209, -21502, 1436, 1444, -57, -57, 1, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326227111, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3751.2.a.s', 'level': 3751, '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': [11, 31], 'level_radical': 341, 'minimal_twist': '341.2.h.a', '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': '3751.2.a', 'trace_display': [9, -1, -1, 11], 'traces': [30, 9, -1, 29, -1, 11, 11, 27, 25, 8, 0, -16, 2, -3, -11, 35, 32, 4, 17, -4, 30, 0, -11, -7, 27, -21, 5, 17, 41, 12, 30, 68, 0, -21, 33, 22, -7, 87, 36, 20, 79, 42, 10, 0, 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-
mf_newspaces • Show schema
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{'ALdims': [60, 78, 75, 60], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6], 'ALdims_old': [17, 16, 19, 16], 'Nk2': 15004, 'analytic_conductor': 29.95188579818227, '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': [3751, 1, [2543, 2421], [1, 1]], 'conrey_index': 1, 'cusp_dim': 341, 'dim': 273, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33558183, 'hecke_orbit_dims': [2, 2, 3, 3, 4, 4, 4, 8, 9, 9, 11, 15, 15, 16, 16, 30, 30, 30, 30, 32], 'label': '3751.2.a', 'level': 3751, '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': [11, 31], 'level_radical': 341, 'mf_dim': 364, 'mf_new_dim': 273, 'num_forms': 20, 'plus_dim': 120, 'prim_orbit_index': 1, 'relative_dim': 273, 'sturm_bound': 704, 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mf_twists_cc • Show schema
Hide schema
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id: 48180635
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 28, 'source_hecke_orbit_code': 81064793326227111, 'source_is_minimal': False, 'source_label': '3751.2.a.s.1.28', 'source_level': 3751, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 28, 'target_hecke_orbit_code': 81064793326227111, 'target_is_minimal': False, 'target_label': '3751.2.a.s.1.28', 'target_level': 3751, 'twist_class_label': '341.2.h.a.125.2', 'twist_class_level': 341, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48180636
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 28, 'source_hecke_orbit_code': 81064793326227111, 'source_is_minimal': False, 'source_label': '3751.2.a.s.1.28', 'source_level': 3751, 'target_conrey_index': 311, 'target_dim': 60, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891925, 'target_is_minimal': True, 'target_label': '341.2.h.a.311.2', 'target_level': 341, 'twist_class_label': '341.2.h.a.125.2', 'twist_class_level': 341, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48180637
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 28, 'source_hecke_orbit_code': 81064793326227111, 'source_is_minimal': False, 'source_label': '3751.2.a.s.1.28', 'source_level': 3751, 'target_conrey_index': 125, 'target_dim': 60, 'target_embedding_index': 2, 'target_hecke_orbit_code': 481069891925, 'target_is_minimal': True, 'target_label': '341.2.h.a.125.2', 'target_level': 341, 'twist_class_label': '341.2.h.a.125.2', 'twist_class_level': 341, 'twisting_char_label': '11.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 48180638
{'conductor': 11, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 30, 'source_embedding_index': 28, 'source_hecke_orbit_code': 81064793326227111, 'source_is_minimal': False, 'source_label': '3751.2.a.s.1.28', 'source_level': 3751, 'target_conrey_index': 1, 'target_dim': 30, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67553994444115623, 'target_is_minimal': False, 'target_label': '3751.2.a.p.1.3', 'target_level': 3751, 'twist_class_label': '341.2.h.a.125.2', 'twist_class_level': 341, 'twisting_char_label': '11.10', 'twisting_conrey_index': 10, 'weight': 2}
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hecke_orbit_code 81064793326227111 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '3751.2.a.s', 'level': 3751, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62999449
{'hecke_orbit_code': 81064793326227111, 'n': 1, 'trace_an': 30}
-
id: 62999450
{'hecke_orbit_code': 81064793326227111, 'n': 2, 'trace_an': 9}
-
id: 62999451
{'hecke_orbit_code': 81064793326227111, 'n': 3, 'trace_an': -1}
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id: 62999452
{'hecke_orbit_code': 81064793326227111, 'n': 4, 'trace_an': 29}
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id: 62999453
{'hecke_orbit_code': 81064793326227111, 'n': 5, 'trace_an': -1}
-
id: 62999454
{'hecke_orbit_code': 81064793326227111, 'n': 6, 'trace_an': 11}
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id: 62999455
{'hecke_orbit_code': 81064793326227111, 'n': 7, 'trace_an': 11}
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id: 62999456
{'hecke_orbit_code': 81064793326227111, 'n': 8, 'trace_an': 27}
-
id: 62999457
{'hecke_orbit_code': 81064793326227111, 'n': 9, 'trace_an': 25}
-
id: 62999458
{'hecke_orbit_code': 81064793326227111, 'n': 10, 'trace_an': 8}
-
id: 62999459
{'hecke_orbit_code': 81064793326227111, 'n': 11, 'trace_an': 0}
-
id: 62999460
{'hecke_orbit_code': 81064793326227111, 'n': 12, 'trace_an': -16}
-
id: 62999461
{'hecke_orbit_code': 81064793326227111, 'n': 13, 'trace_an': 2}
-
id: 62999462
{'hecke_orbit_code': 81064793326227111, 'n': 14, 'trace_an': -3}
-
id: 62999463
{'hecke_orbit_code': 81064793326227111, 'n': 15, 'trace_an': -11}
-
id: 62999464
{'hecke_orbit_code': 81064793326227111, 'n': 16, 'trace_an': 35}
-
id: 62999465
{'hecke_orbit_code': 81064793326227111, 'n': 17, 'trace_an': 32}
-
id: 62999466
{'hecke_orbit_code': 81064793326227111, 'n': 18, 'trace_an': 4}
-
id: 62999467
{'hecke_orbit_code': 81064793326227111, 'n': 19, 'trace_an': 17}
-
id: 62999468
{'hecke_orbit_code': 81064793326227111, 'n': 20, 'trace_an': -4}
-
id: 62999469
{'hecke_orbit_code': 81064793326227111, 'n': 21, 'trace_an': 30}
-
id: 62999470
{'hecke_orbit_code': 81064793326227111, 'n': 22, 'trace_an': 0}
-
id: 62999471
{'hecke_orbit_code': 81064793326227111, 'n': 23, 'trace_an': -11}
-
id: 62999472
{'hecke_orbit_code': 81064793326227111, 'n': 24, 'trace_an': -7}
-
id: 62999473
{'hecke_orbit_code': 81064793326227111, 'n': 25, 'trace_an': 27}
-
id: 62999474
{'hecke_orbit_code': 81064793326227111, 'n': 26, 'trace_an': -21}
-
id: 62999475
{'hecke_orbit_code': 81064793326227111, 'n': 27, 'trace_an': 5}
-
id: 62999476
{'hecke_orbit_code': 81064793326227111, 'n': 28, 'trace_an': 17}
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