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mf_newforms • Show schema
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{'Nk2': 880, 'analytic_conductor': 1.7567088444681684, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 20, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 4, 'char_parity': 1, 'char_values': [220, 4, [111, 177, 101], [2, 3, 4]], 'cm_discs': [], 'conrey_index': 23, 'dim': 28, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [9216, -52224, 147968, 376960, 668176, -641024, 613888, 931936, 1303816, -1001680, 646912, 606784, 616113, -394260, 202184, 124684, 83168, -45668, 21912, 10236, 3582, -1324, 728, 340, 88, -12, 8, 4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007955202539740, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 20, 5, 1, 4, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '220.2.l.c', 'level': 220, 'level_is_powerful': False, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 880, 'analytic_conductor': 1.7567088444681684, 'char_conductor': 20, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 4, 'char_parity': 1, 'char_values': [220, 4, [111, 177, 101], [2, 3, 4]], 'conrey_index': 23, 'cusp_dim': 64, 'dim': 60, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 755947798748, 'hecke_orbit_dims': [2, 2, 28, 28], 'label': '220.2.l', 'level': 220, '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': [2, 5, 11], 'level_radical': 110, 'mf_dim': 80, 'mf_new_dim': 60, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 30, 'sturm_bound': 72, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 0, 0, -8, 0, -12, 0, 0, 0, 0, -4, 0, 0, 0, -20, 28, 0, 0, -16, 0, 0, 0, -20, 8, 0, -20, 0, -40, 0, -40, 0, 0, 0, 32, 20, -40, 0, 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48], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 41220167
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 28, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007955202539740, 'source_is_minimal': True, 'source_label': '220.2.l.c.23.6', 'source_level': 220, 'target_conrey_index': 23, 'target_dim': 28, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007955202539740, 'target_is_minimal': True, 'target_label': '220.2.l.c.23.6', 'target_level': 220, 'twist_class_label': '220.2.l.c.23.6', 'twist_class_level': 220, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 41220168
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 28, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007955202539740, 'source_is_minimal': True, 'source_label': '220.2.l.c.23.6', 'source_level': 220, 'target_conrey_index': 23, 'target_dim': 28, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13511554829910236, 'target_is_minimal': True, 'target_label': '220.2.l.d.23.12', 'target_level': 220, 'twist_class_label': '220.2.l.c.23.6', 'twist_class_level': 220, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 41220169
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 23, 'source_dim': 28, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007955202539740, 'source_is_minimal': True, 'source_label': '220.2.l.c.23.6', 'source_level': 220, 'target_conrey_index': 67, 'target_dim': 28, 'target_embedding_index': 12, 'target_hecke_orbit_code': 13511554829910236, 'target_is_minimal': True, 'target_label': '220.2.l.d.67.12', 'target_level': 220, 'twist_class_label': '220.2.l.c.23.6', 'twist_class_level': 220, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 41220170
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 23, 'source_dim': 28, 'source_embedding_index': 6, 'source_hecke_orbit_code': 9007955202539740, 'source_is_minimal': True, 'source_label': '220.2.l.c.23.6', 'source_level': 220, 'target_conrey_index': 67, 'target_dim': 28, 'target_embedding_index': 6, 'target_hecke_orbit_code': 9007955202539740, 'target_is_minimal': True, 'target_label': '220.2.l.c.67.6', 'target_level': 220, 'twist_class_label': '220.2.l.c.23.6', 'twist_class_level': 220, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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hecke_orbit_code 9007955202539740 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 12, 'hecke_orbit': 3, 'label': '220.2.l.c', 'level': 220, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 31431085
{'hecke_orbit_code': 9007955202539740, 'n': 1, 'trace_an': 28}
-
id: 31431086
{'hecke_orbit_code': 9007955202539740, 'n': 2, 'trace_an': -2}
-
id: 31431087
{'hecke_orbit_code': 9007955202539740, 'n': 3, 'trace_an': -4}
-
id: 31431088
{'hecke_orbit_code': 9007955202539740, 'n': 4, 'trace_an': 4}
-
id: 31431089
{'hecke_orbit_code': 9007955202539740, 'n': 5, 'trace_an': 2}
-
id: 31431090
{'hecke_orbit_code': 9007955202539740, 'n': 6, 'trace_an': -12}
-
id: 31431091
{'hecke_orbit_code': 9007955202539740, 'n': 7, 'trace_an': -2}
-
id: 31431092
{'hecke_orbit_code': 9007955202539740, 'n': 8, 'trace_an': -14}
-
id: 31431093
{'hecke_orbit_code': 9007955202539740, 'n': 9, 'trace_an': 0}
-
id: 31431094
{'hecke_orbit_code': 9007955202539740, 'n': 10, 'trace_an': 6}
-
id: 31431095
{'hecke_orbit_code': 9007955202539740, 'n': 11, 'trace_an': 0}
-
id: 31431096
{'hecke_orbit_code': 9007955202539740, 'n': 12, 'trace_an': -8}
-
id: 31431097
{'hecke_orbit_code': 9007955202539740, 'n': 13, 'trace_an': 6}
-
id: 31431098
{'hecke_orbit_code': 9007955202539740, 'n': 14, 'trace_an': -20}
-
id: 31431099
{'hecke_orbit_code': 9007955202539740, 'n': 15, 'trace_an': 8}
-
id: 31431100
{'hecke_orbit_code': 9007955202539740, 'n': 16, 'trace_an': 8}
-
id: 31431101
{'hecke_orbit_code': 9007955202539740, 'n': 17, 'trace_an': -14}
-
id: 31431102
{'hecke_orbit_code': 9007955202539740, 'n': 18, 'trace_an': 34}
-
id: 31431103
{'hecke_orbit_code': 9007955202539740, 'n': 19, 'trace_an': 4}
-
id: 31431104
{'hecke_orbit_code': 9007955202539740, 'n': 20, 'trace_an': 8}
-
id: 31431105
{'hecke_orbit_code': 9007955202539740, 'n': 21, 'trace_an': -16}
-
id: 31431106
{'hecke_orbit_code': 9007955202539740, 'n': 22, 'trace_an': -2}
-
id: 31431107
{'hecke_orbit_code': 9007955202539740, 'n': 23, 'trace_an': -8}
-
id: 31431108
{'hecke_orbit_code': 9007955202539740, 'n': 24, 'trace_an': 28}
-
id: 31431109
{'hecke_orbit_code': 9007955202539740, 'n': 25, 'trace_an': -4}
-
id: 31431110
{'hecke_orbit_code': 9007955202539740, 'n': 26, 'trace_an': 4}
-
id: 31431111
{'hecke_orbit_code': 9007955202539740, 'n': 27, 'trace_an': 44}
-
id: 31431112
{'hecke_orbit_code': 9007955202539740, 'n': 28, 'trace_an': -28}
-
id: 31431113
{'hecke_orbit_code': 9007955202539740, 'n': 29, 'trace_an': 0}
-
id: 31431114
{'hecke_orbit_code': 9007955202539740, 'n': 30, 'trace_an': 0}
-
id: 31431115
{'hecke_orbit_code': 9007955202539740, 'n': 31, 'trace_an': 0}
-
id: 31431116
{'hecke_orbit_code': 9007955202539740, 'n': 32, 'trace_an': -2}
-
id: 31431117
{'hecke_orbit_code': 9007955202539740, 'n': 33, 'trace_an': 4}
-
id: 31431118
{'hecke_orbit_code': 9007955202539740, 'n': 34, 'trace_an': -52}
-
id: 31431119
{'hecke_orbit_code': 9007955202539740, 'n': 35, 'trace_an': -10}
-
id: 31431120
{'hecke_orbit_code': 9007955202539740, 'n': 36, 'trace_an': -4}
-
id: 31431121
{'hecke_orbit_code': 9007955202539740, 'n': 37, 'trace_an': 20}
-
id: 31431122
{'hecke_orbit_code': 9007955202539740, 'n': 38, 'trace_an': 16}
-
id: 31431123
{'hecke_orbit_code': 9007955202539740, 'n': 39, 'trace_an': 32}
-
id: 31431124
{'hecke_orbit_code': 9007955202539740, 'n': 40, 'trace_an': -6}
-
id: 31431125
{'hecke_orbit_code': 9007955202539740, 'n': 41, 'trace_an': 12}
-
id: 31431126
{'hecke_orbit_code': 9007955202539740, 'n': 42, 'trace_an': -32}
-
id: 31431127
{'hecke_orbit_code': 9007955202539740, 'n': 43, 'trace_an': 2}
-
id: 31431128
{'hecke_orbit_code': 9007955202539740, 'n': 44, 'trace_an': 0}
-
id: 31431129
{'hecke_orbit_code': 9007955202539740, 'n': 45, 'trace_an': -10}
-
id: 31431130
{'hecke_orbit_code': 9007955202539740, 'n': 46, 'trace_an': 4}
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id: 31431131
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id: 31431328
{'hecke_orbit_code': 9007955202539740, 'n': 907, 'trace_an': 92}
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id: 31431329
{'hecke_orbit_code': 9007955202539740, 'n': 911, 'trace_an': 0}
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id: 31431330
{'hecke_orbit_code': 9007955202539740, 'n': 919, 'trace_an': 240}
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id: 31431331
{'hecke_orbit_code': 9007955202539740, 'n': 929, 'trace_an': 0}
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id: 31431332
{'hecke_orbit_code': 9007955202539740, 'n': 937, 'trace_an': -258}
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id: 31431333
{'hecke_orbit_code': 9007955202539740, 'n': 941, 'trace_an': -40}
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id: 31431334
{'hecke_orbit_code': 9007955202539740, 'n': 947, 'trace_an': 144}
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id: 31431335
{'hecke_orbit_code': 9007955202539740, 'n': 953, 'trace_an': 14}
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id: 31431336
{'hecke_orbit_code': 9007955202539740, 'n': 961, 'trace_an': 84}
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id: 31431337
{'hecke_orbit_code': 9007955202539740, 'n': 967, 'trace_an': 46}
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id: 31431338
{'hecke_orbit_code': 9007955202539740, 'n': 971, 'trace_an': 0}
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id: 31431339
{'hecke_orbit_code': 9007955202539740, 'n': 977, 'trace_an': 256}
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id: 31431340
{'hecke_orbit_code': 9007955202539740, 'n': 983, 'trace_an': -180}
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id: 31431341
{'hecke_orbit_code': 9007955202539740, 'n': 991, 'trace_an': 0}
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id: 31431342
{'hecke_orbit_code': 9007955202539740, 'n': 997, 'trace_an': 170}