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mf_newforms • Show schema
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{'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 49, 'char_degree': 12, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 21, 'char_parity': 1, 'char_values': [49, 21, [3], [13]], 'cm_discs': [], 'conrey_index': 2, 'dim': 264, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 412417523761, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 49, 7, 1, 21, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '49.6.g.a', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '49.6.g.a', 'prim_orbit_index': 7, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1764, 'analytic_conductor': 7.858807170836051, 'char_conductor': 49, 'char_degree': 12, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 21, 'char_parity': 1, 'char_values': [49, 21, [3], [13]], 'conrey_index': 2, 'cusp_dim': 264, 'dim': 264, 'eis_dim': 24, 'eis_new_dim': 24, 'hecke_cutter_primes': [], 'hecke_orbit_code': 412417523761, 'hecke_orbit_dims': [264], 'label': '49.6.g', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 288, 'mf_new_dim': 288, 'num_forms': 1, 'prim_orbit_index': 7, 'relative_dim': 22, 'sturm_bound': 28, 'trace_bound': 0, 'trace_display': [-13, -22, -52, 154], 'traces': [264, -13, -22, 307, -52, -130, 154, -320, 6, -792, -635, 3605, 1834, -875, -2572, 3735, -1023, -1336, 9741, 8330, 1512, 842, -1553, 1756, 13144, -1946, -19849, -31584, 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mf_twists_cc • Show schema
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id: 5187879
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 264, 'source_embedding_index': 9, 'source_hecke_orbit_code': 412417523761, 'source_is_minimal': True, 'source_label': '49.6.g.a.2.9', 'source_level': 49, 'target_conrey_index': 2, 'target_dim': 264, 'target_embedding_index': 9, 'target_hecke_orbit_code': 412417523761, 'target_is_minimal': True, 'target_label': '49.6.g.a.2.9', 'target_level': 49, 'twist_class_label': '49.6.g.a.2.9', 'twist_class_level': 49, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 6}
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id: 5187880
{'conductor': 49, 'degree': 12, 'order': 21, 'parity': 1, 'source_conrey_index': 2, 'source_dim': 264, 'source_embedding_index': 9, 'source_hecke_orbit_code': 412417523761, 'source_is_minimal': True, 'source_label': '49.6.g.a.2.9', 'source_level': 49, 'target_conrey_index': 25, 'target_dim': 264, 'target_embedding_index': 9, 'target_hecke_orbit_code': 412417523761, 'target_is_minimal': True, 'target_label': '49.6.g.a.25.9', 'target_level': 49, 'twist_class_label': '49.6.g.a.2.9', 'twist_class_level': 49, 'twisting_char_label': '49.25', 'twisting_conrey_index': 25, 'weight': 6}
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hecke_orbit_code 412417523761 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '49.6.g.a', 'level': 49, 'portrait': 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', 'weight': 6}
-
mf_hecke_traces • Show schema
Hide schema
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id: 9086568
{'hecke_orbit_code': 412417523761, 'n': 1, 'trace_an': 264}
-
id: 9086569
{'hecke_orbit_code': 412417523761, 'n': 2, 'trace_an': -13}
-
id: 9086570
{'hecke_orbit_code': 412417523761, 'n': 3, 'trace_an': -22}
-
id: 9086571
{'hecke_orbit_code': 412417523761, 'n': 4, 'trace_an': 307}
-
id: 9086572
{'hecke_orbit_code': 412417523761, 'n': 5, 'trace_an': -52}
-
id: 9086573
{'hecke_orbit_code': 412417523761, 'n': 6, 'trace_an': -130}
-
id: 9086574
{'hecke_orbit_code': 412417523761, 'n': 7, 'trace_an': 154}
-
id: 9086575
{'hecke_orbit_code': 412417523761, 'n': 8, 'trace_an': -320}
-
id: 9086576
{'hecke_orbit_code': 412417523761, 'n': 9, 'trace_an': 6}
-
id: 9086577
{'hecke_orbit_code': 412417523761, 'n': 10, 'trace_an': -792}
-
id: 9086578
{'hecke_orbit_code': 412417523761, 'n': 11, 'trace_an': -635}
-
id: 9086579
{'hecke_orbit_code': 412417523761, 'n': 12, 'trace_an': 3605}
-
id: 9086580
{'hecke_orbit_code': 412417523761, 'n': 13, 'trace_an': 1834}
-
id: 9086581
{'hecke_orbit_code': 412417523761, 'n': 14, 'trace_an': -875}
-
id: 9086582
{'hecke_orbit_code': 412417523761, 'n': 15, 'trace_an': -2572}
-
id: 9086583
{'hecke_orbit_code': 412417523761, 'n': 16, 'trace_an': 3735}
-
id: 9086584
{'hecke_orbit_code': 412417523761, 'n': 17, 'trace_an': -1023}
-
id: 9086585
{'hecke_orbit_code': 412417523761, 'n': 18, 'trace_an': -1336}
-
id: 9086586
{'hecke_orbit_code': 412417523761, 'n': 19, 'trace_an': 9741}
-
id: 9086587
{'hecke_orbit_code': 412417523761, 'n': 20, 'trace_an': 8330}
-
id: 9086588
{'hecke_orbit_code': 412417523761, 'n': 21, 'trace_an': 1512}
-
id: 9086589
{'hecke_orbit_code': 412417523761, 'n': 22, 'trace_an': 842}
-
id: 9086590
{'hecke_orbit_code': 412417523761, 'n': 23, 'trace_an': -1553}
-
id: 9086591
{'hecke_orbit_code': 412417523761, 'n': 24, 'trace_an': 1756}
-
id: 9086592
{'hecke_orbit_code': 412417523761, 'n': 25, 'trace_an': 13144}
-
id: 9086593
{'hecke_orbit_code': 412417523761, 'n': 26, 'trace_an': -1946}
-
id: 9086594
{'hecke_orbit_code': 412417523761, 'n': 27, 'trace_an': -19849}
-
id: 9086595
{'hecke_orbit_code': 412417523761, 'n': 28, 'trace_an': -31584}
-
id: 9086596
{'hecke_orbit_code': 412417523761, 'n': 29, 'trace_an': -30356}
-
id: 9086597
{'hecke_orbit_code': 412417523761, 'n': 30, 'trace_an': 6129}
-
id: 9086598
{'hecke_orbit_code': 412417523761, 'n': 31, 'trace_an': 43903}
-
id: 9086599
{'hecke_orbit_code': 412417523761, 'n': 32, 'trace_an': 27725}
-
id: 9086600
{'hecke_orbit_code': 412417523761, 'n': 33, 'trace_an': -3412}
-
id: 9086601
{'hecke_orbit_code': 412417523761, 'n': 34, 'trace_an': -73182}
-
id: 9086602
{'hecke_orbit_code': 412417523761, 'n': 35, 'trace_an': -17360}
-
id: 9086603
{'hecke_orbit_code': 412417523761, 'n': 36, 'trace_an': -102868}
-
id: 9086604
{'hecke_orbit_code': 412417523761, 'n': 37, 'trace_an': -22105}
-
id: 9086605
{'hecke_orbit_code': 412417523761, 'n': 38, 'trace_an': 19116}
-
id: 9086606
{'hecke_orbit_code': 412417523761, 'n': 39, 'trace_an': 109165}
-
id: 9086607
{'hecke_orbit_code': 412417523761, 'n': 40, 'trace_an': 77354}
-
id: 9086608
{'hecke_orbit_code': 412417523761, 'n': 41, 'trace_an': 47446}
-
id: 9086609
{'hecke_orbit_code': 412417523761, 'n': 42, 'trace_an': 157738}
-
id: 9086610
{'hecke_orbit_code': 412417523761, 'n': 43, 'trace_an': 6674}
-
id: 9086611
{'hecke_orbit_code': 412417523761, 'n': 44, 'trace_an': 15154}
-
id: 9086612
{'hecke_orbit_code': 412417523761, 'n': 45, 'trace_an': -130923}
-
id: 9086613
{'hecke_orbit_code': 412417523761, 'n': 46, 'trace_an': -136952}
-
id: 9086614
{'hecke_orbit_code': 412417523761, 'n': 47, 'trace_an': -195163}
-
id: 9086615
{'hecke_orbit_code': 412417523761, 'n': 48, 'trace_an': -151484}
-
id: 9086616
{'hecke_orbit_code': 412417523761, 'n': 49, 'trace_an': -131194}
-
id: 9086617
{'hecke_orbit_code': 412417523761, 'n': 50, 'trace_an': 263000}
-
id: 9086618
{'hecke_orbit_code': 412417523761, 'n': 51, 'trace_an': -84276}
-
id: 9086619
{'hecke_orbit_code': 412417523761, 'n': 52, 'trace_an': -58758}
-
id: 9086620
{'hecke_orbit_code': 412417523761, 'n': 53, 'trace_an': -110577}
-
id: 9086621
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{'hecke_orbit_code': 412417523761, 'n': 953, 'trace_an': -16393164}
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id: 9086819
{'hecke_orbit_code': 412417523761, 'n': 961, 'trace_an': 106685935}
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id: 9086820
{'hecke_orbit_code': 412417523761, 'n': 967, 'trace_an': 130832327}
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id: 9086821
{'hecke_orbit_code': 412417523761, 'n': 971, 'trace_an': -454191489}
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id: 9086822
{'hecke_orbit_code': 412417523761, 'n': 977, 'trace_an': -517594936}
-
id: 9086823
{'hecke_orbit_code': 412417523761, 'n': 983, 'trace_an': -291439492}
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id: 9086824
{'hecke_orbit_code': 412417523761, 'n': 991, 'trace_an': -148464139}
-
id: 9086825
{'hecke_orbit_code': 412417523761, 'n': 997, 'trace_an': -118426540}