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{'Nk2': 16136, 'analytic_conductor': 32.21165217538451, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [2017, -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': [4034, 1, [5], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 49, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_orbit': 3, 'hecke_orbit_code': 9007199288299458, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '4034.2.a.c', 'level': 4034, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 2017], 'level_radical': 4034, 'minimal_twist': '4034.2.a.c', 'prim_orbit_index': 1, 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{'AL_dims': [[[[2, -1], [2017, -1]], 33, 1], [[[2, 1], [2017, -1]], 49, 1], [[[2, 1], [2017, 1]], 35, 1], [[[2, -1], [2017, 1]], 52, 1]], 'ALdims': [35, 49, 52, 33], 'Nk2': 16136, 'analytic_conductor': 32.21165217538451, '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': [4034, 1, [5], [1]], 'conrey_index': 1, 'cusp_dim': 503, 'dim': 169, 'eis_dim': 3, 'eis_new_dim': 0, 'hecke_orbit_code': 33558466, 'hecke_orbit_dims': [33, 35, 49, 52], 'label': '4034.2.a', 'level': 4034, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 2017], 'level_radical': 4034, 'mf_dim': 506, 'mf_new_dim': 169, 'num_forms': 4, 'plus_dim': 68, 'prim_orbit_index': 1, 'relative_dim': 169, 'sturm_bound': 1009, 'trace_bound': 1, 'trace_display': [1, 4, 0, 4], 'traces': [169, 1, 4, 169, 0, 0, 4, 1, 169, 4, -8, 4, 0, -4, -4, 169, -14, 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mf_twists_cc • Show schema
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{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 49, 'source_embedding_index': 8, 'source_hecke_orbit_code': 9007199288299458, 'source_is_minimal': True, 'source_label': '4034.2.a.c.1.8', 'source_level': 4034, 'target_conrey_index': 1, 'target_dim': 49, 'target_embedding_index': 8, 'target_hecke_orbit_code': 9007199288299458, 'target_is_minimal': True, 'target_label': '4034.2.a.c.1.8', 'target_level': 4034, 'twist_class_label': '4034.2.a.c.1.8', 'twist_class_level': 4034, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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hecke_orbit_code 9007199288299458 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 3, 'label': '4034.2.a.c', 'level': 4034, 'portrait': 'data:image/png;base64,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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 104361000
{'hecke_orbit_code': 9007199288299458, 'n': 1, 'trace_an': 49}
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id: 104361001
{'hecke_orbit_code': 9007199288299458, 'n': 2, 'trace_an': -49}
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id: 104361002
{'hecke_orbit_code': 9007199288299458, 'n': 3, 'trace_an': 8}
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id: 104361003
{'hecke_orbit_code': 9007199288299458, 'n': 4, 'trace_an': 49}
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id: 104361004
{'hecke_orbit_code': 9007199288299458, 'n': 5, 'trace_an': -8}
-
id: 104361005
{'hecke_orbit_code': 9007199288299458, 'n': 6, 'trace_an': -8}
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id: 104361006
{'hecke_orbit_code': 9007199288299458, 'n': 7, 'trace_an': 18}
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id: 104361007
{'hecke_orbit_code': 9007199288299458, 'n': 8, 'trace_an': -49}
-
id: 104361008
{'hecke_orbit_code': 9007199288299458, 'n': 9, 'trace_an': 59}
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id: 104361009
{'hecke_orbit_code': 9007199288299458, 'n': 10, 'trace_an': 8}
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id: 104361010
{'hecke_orbit_code': 9007199288299458, 'n': 11, 'trace_an': 1}
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id: 104361011
{'hecke_orbit_code': 9007199288299458, 'n': 12, 'trace_an': 8}
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id: 104361012
{'hecke_orbit_code': 9007199288299458, 'n': 13, 'trace_an': 9}
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id: 104361013
{'hecke_orbit_code': 9007199288299458, 'n': 14, 'trace_an': -18}
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id: 104361014
{'hecke_orbit_code': 9007199288299458, 'n': 15, 'trace_an': 15}
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id: 104361015
{'hecke_orbit_code': 9007199288299458, 'n': 16, 'trace_an': 49}
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id: 104361016
{'hecke_orbit_code': 9007199288299458, 'n': 17, 'trace_an': -27}
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id: 104361017
{'hecke_orbit_code': 9007199288299458, 'n': 18, 'trace_an': -59}
-
id: 104361018
{'hecke_orbit_code': 9007199288299458, 'n': 19, 'trace_an': 27}
-
id: 104361019
{'hecke_orbit_code': 9007199288299458, 'n': 20, 'trace_an': -8}
-
id: 104361020
{'hecke_orbit_code': 9007199288299458, 'n': 21, 'trace_an': 13}
-
id: 104361021
{'hecke_orbit_code': 9007199288299458, 'n': 22, 'trace_an': -1}
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id: 104361022
{'hecke_orbit_code': 9007199288299458, 'n': 23, 'trace_an': 16}
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id: 104361023
{'hecke_orbit_code': 9007199288299458, 'n': 24, 'trace_an': -8}
-
id: 104361024
{'hecke_orbit_code': 9007199288299458, 'n': 25, 'trace_an': 71}
-
id: 104361025
{'hecke_orbit_code': 9007199288299458, 'n': 26, 'trace_an': -9}
-
id: 104361026
{'hecke_orbit_code': 9007199288299458, 'n': 27, 'trace_an': 29}
-
id: 104361027
{'hecke_orbit_code': 9007199288299458, 'n': 28, 'trace_an': 18}
-
id: 104361028
{'hecke_orbit_code': 9007199288299458, 'n': 29, 'trace_an': -7}
-
id: 104361029
{'hecke_orbit_code': 9007199288299458, 'n': 30, 'trace_an': -15}
-
id: 104361030
{'hecke_orbit_code': 9007199288299458, 'n': 31, 'trace_an': 75}
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id: 104361031
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