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{'Nk2': 34416, 'analytic_conductor': 126.91310842234806, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [239, 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': [2151, 1, [479, 1441], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 22, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_orbit': 1, 'hecke_orbit_code': 67111015, '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': '2151.4.a.a', 'level': 2151, '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, 239], 'level_radical': 717, 'minimal_twist': '239.4.a.a', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 22, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2151.4.a', 'trace_display': [4, 0, 37, -52], 'traces': [22, 4, 0, 50, 37, 0, -52, 69, 0, -93, 77, 0, -218, 111, 0, -42, 219, 0, -476, 314, 0, -390, 202, 0, -271, 220, 0, -515, 307, 0, -1001, 771, 0, -1297, 430, 0, -922, -49, 0, -1344, 1188, 0, -192, 547, 0, -1178, 102, 0, -1952, 471, 0, -1785, 580, 0, -1730, 804, 0, -1156, 1528, 0, -1631, -2206, 0, 327, -44, 0, -689, -2522, 0, 1175, -341, 0, -2260, -4027, 0, -1855, -1578, 0, 396, -6183, 0, 4936, -1065, 0, 144, -2915, 0, 1068, 1984, 0, -2186, -6720, 0, 174, -2804, 0, -4946, -7149, 0, 1621, 863, 0, -2526, -3876, 0, 2986, -3134, 0, -5449, -6902, 0, 3181, -701, 0, -742, -6549, 0, 3606, -1424, 0, -4305, -5248, 0, -3782, 3048, 0, 553, -464, 0, 3192, -2984, 0, -3524, -7881, 0, -6904, 5342, 0, -2842, -5970, 0, 4873, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'ALdims': [59, 59, 82, 97], 'Nk2': 34416, 'analytic_conductor': 126.91310842234806, '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': [2151, 1, [479, 1441], [1, 1]], 'conrey_index': 1, 'cusp_dim': 716, 'dim': 297, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_orbit_code': 67111015, 'hecke_orbit_dims': [22, 28, 28, 32, 32, 37, 59, 59], 'label': '2151.4.a', 'level': 2151, '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, 239], 'level_radical': 717, 'mf_dim': 724, 'mf_new_dim': 297, 'num_forms': 8, 'plus_dim': 156, 'prim_orbit_index': 1, 'relative_dim': 297, 'sturm_bound': 960, 'trace_bound': 2, 'trace_display': [4, 0, 10, -32], 'traces': [297, 4, 0, 1196, 10, 0, -32, 6, 0, -90, -34, 0, 172, -118, 0, 4612, -122, 0, -38, 464, 0, 4, -192, 0, 7439, 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mf_twists_cc • Show schema
Hide schema
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id: 354701
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 20, 'source_hecke_orbit_code': 67111015, 'source_is_minimal': False, 'source_label': '2151.4.a.a.1.20', 'source_level': 2151, 'target_conrey_index': 1, 'target_dim': 22, 'target_embedding_index': 20, 'target_hecke_orbit_code': 67111015, 'target_is_minimal': False, 'target_label': '2151.4.a.a.1.20', 'target_level': 2151, 'twist_class_label': '239.4.a.a.1.3', 'twist_class_level': 239, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 354702
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 22, 'source_embedding_index': 20, 'source_hecke_orbit_code': 67111015, 'source_is_minimal': False, 'source_label': '2151.4.a.a.1.20', 'source_level': 2151, 'target_conrey_index': 1, 'target_dim': 22, 'target_embedding_index': 3, 'target_hecke_orbit_code': 67109103, 'target_is_minimal': True, 'target_label': '239.4.a.a.1.3', 'target_level': 239, 'twist_class_label': '239.4.a.a.1.3', 'twist_class_level': 239, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 4}
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hecke_orbit_code 67111015 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 1, 'label': '2151.4.a.a', 'level': 2151, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 3129024
{'hecke_orbit_code': 67111015, 'n': 1, 'trace_an': 22}
-
id: 3129025
{'hecke_orbit_code': 67111015, 'n': 2, 'trace_an': 4}
-
id: 3129026
{'hecke_orbit_code': 67111015, 'n': 3, 'trace_an': 0}
-
id: 3129027
{'hecke_orbit_code': 67111015, 'n': 4, 'trace_an': 50}
-
id: 3129028
{'hecke_orbit_code': 67111015, 'n': 5, 'trace_an': 37}
-
id: 3129029
{'hecke_orbit_code': 67111015, 'n': 6, 'trace_an': 0}
-
id: 3129030
{'hecke_orbit_code': 67111015, 'n': 7, 'trace_an': -52}
-
id: 3129031
{'hecke_orbit_code': 67111015, 'n': 8, 'trace_an': 69}
-
id: 3129032
{'hecke_orbit_code': 67111015, 'n': 9, 'trace_an': 0}
-
id: 3129033
{'hecke_orbit_code': 67111015, 'n': 10, 'trace_an': -93}
-
id: 3129034
{'hecke_orbit_code': 67111015, 'n': 11, 'trace_an': 77}
-
id: 3129035
{'hecke_orbit_code': 67111015, 'n': 12, 'trace_an': 0}
-
id: 3129036
{'hecke_orbit_code': 67111015, 'n': 13, 'trace_an': -218}
-
id: 3129037
{'hecke_orbit_code': 67111015, 'n': 14, 'trace_an': 111}
-
id: 3129038
{'hecke_orbit_code': 67111015, 'n': 15, 'trace_an': 0}
-
id: 3129039
{'hecke_orbit_code': 67111015, 'n': 16, 'trace_an': -42}
-
id: 3129040
{'hecke_orbit_code': 67111015, 'n': 17, 'trace_an': 219}
-
id: 3129041
{'hecke_orbit_code': 67111015, 'n': 18, 'trace_an': 0}
-
id: 3129042
{'hecke_orbit_code': 67111015, 'n': 19, 'trace_an': -476}
-
id: 3129043
{'hecke_orbit_code': 67111015, 'n': 20, 'trace_an': 314}
-
id: 3129044
{'hecke_orbit_code': 67111015, 'n': 21, 'trace_an': 0}
-
id: 3129045
{'hecke_orbit_code': 67111015, 'n': 22, 'trace_an': -390}
-
id: 3129046
{'hecke_orbit_code': 67111015, 'n': 23, 'trace_an': 202}
-
id: 3129047
{'hecke_orbit_code': 67111015, 'n': 24, 'trace_an': 0}
-
id: 3129048
{'hecke_orbit_code': 67111015, 'n': 25, 'trace_an': -271}
-
id: 3129049
{'hecke_orbit_code': 67111015, 'n': 26, 'trace_an': 220}
-
id: 3129050
{'hecke_orbit_code': 67111015, 'n': 27, 'trace_an': 0}
-
id: 3129051
{'hecke_orbit_code': 67111015, 'n': 28, 'trace_an': -515}
-
id: 3129052
{'hecke_orbit_code': 67111015, 'n': 29, 'trace_an': 307}
-
id: 3129053
{'hecke_orbit_code': 67111015, 'n': 30, 'trace_an': 0}
-
id: 3129054
{'hecke_orbit_code': 67111015, 'n': 31, 'trace_an': -1001}
-
id: 3129055
{'hecke_orbit_code': 67111015, 'n': 32, 'trace_an': 771}
-
id: 3129056
{'hecke_orbit_code': 67111015, 'n': 33, 'trace_an': 0}
-
id: 3129057
{'hecke_orbit_code': 67111015, 'n': 34, 'trace_an': -1297}
-
id: 3129058
{'hecke_orbit_code': 67111015, 'n': 35, 'trace_an': 430}
-
id: 3129059
{'hecke_orbit_code': 67111015, 'n': 36, 'trace_an': 0}
-
id: 3129060
{'hecke_orbit_code': 67111015, 'n': 37, 'trace_an': -922}
-
id: 3129061
{'hecke_orbit_code': 67111015, 'n': 38, 'trace_an': -49}
-
id: 3129062
{'hecke_orbit_code': 67111015, 'n': 39, 'trace_an': 0}
-
id: 3129063
{'hecke_orbit_code': 67111015, 'n': 40, 'trace_an': -1344}
-
id: 3129064
{'hecke_orbit_code': 67111015, 'n': 41, 'trace_an': 1188}
-
id: 3129065
{'hecke_orbit_code': 67111015, 'n': 42, 'trace_an': 0}
-
id: 3129066
{'hecke_orbit_code': 67111015, 'n': 43, 'trace_an': -192}
-
id: 3129067
{'hecke_orbit_code': 67111015, 'n': 44, 'trace_an': 547}
-
id: 3129068
{'hecke_orbit_code': 67111015, 'n': 45, 'trace_an': 0}
-
id: 3129069
{'hecke_orbit_code': 67111015, 'n': 46, 'trace_an': -1178}
-
id: 3129070
{'hecke_orbit_code': 67111015, 'n': 47, 'trace_an': 102}
-
id: 3129071
{'hecke_orbit_code': 67111015, 'n': 48, 'trace_an': 0}
-
id: 3129072
{'hecke_orbit_code': 67111015, 'n': 49, 'trace_an': -1952}
-
id: 3129073
{'hecke_orbit_code': 67111015, 'n': 50, 'trace_an': 471}
-
id: 3129074
{'hecke_orbit_code': 67111015, 'n': 51, 'trace_an': 0}
-
id: 3129075
{'hecke_orbit_code': 67111015, 'n': 52, 'trace_an': -1785}
-
id: 3129076
{'hecke_orbit_code': 67111015, 'n': 53, 'trace_an': 580}
-
id: 3129077
{'hecke_orbit_code': 67111015, 'n': 54, 'trace_an': 0}
-
id: 3129078
{'hecke_orbit_code': 67111015, 'n': 55, 'trace_an': -1730}
-
id: 3129079
{'hecke_orbit_code': 67111015, 'n': 56, 'trace_an': 804}
-
id: 3129080
{'hecke_orbit_code': 67111015, 'n': 57, 'trace_an': 0}
-
id: 3129081
{'hecke_orbit_code': 67111015, 'n': 58, 'trace_an': -1156}
-
id: 3129082
{'hecke_orbit_code': 67111015, 'n': 59, 'trace_an': 1528}
-
id: 3129083
{'hecke_orbit_code': 67111015, 'n': 60, 'trace_an': 0}
-
id: 3129084
{'hecke_orbit_code': 67111015, 'n': 61, 'trace_an': -1631}
-
id: 3129085
{'hecke_orbit_code': 67111015, 'n': 62, 'trace_an': -2206}
-
id: 3129086
{'hecke_orbit_code': 67111015, 'n': 63, 'trace_an': 0}
-
id: 3129087
{'hecke_orbit_code': 67111015, 'n': 64, 'trace_an': 327}
-
id: 3129088
{'hecke_orbit_code': 67111015, 'n': 65, 'trace_an': -44}
-
id: 3129089
{'hecke_orbit_code': 67111015, 'n': 66, 'trace_an': 0}
-
id: 3129090
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