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{'Nk2': 32144, 'analytic_conductor': 118.5348372015329, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[7, -1], [41, 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': [2009, 1, [493, 785], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 36, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [-32865404963328, -212810247917568, 438287035691520, 1969572148101504, -1270611374901792, -5864261438235024, 1539039311128112, 8470818053074484, -760090180469164, -7097063886510884, -62587566951080, 3793268025346977, 269888244679127, -1371562251662667, -154278183711290, 348944585355683, 49035109452370, -64180043260924, -10253800791662, 8688196842647, 1503394505819, -874444915130, -159322316348, 65607493774, 12366792176, -3649519120, -703605996, 148204731, 29002109, -4263555, -842490, 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mf_newspaces • Show schema
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{'ALdims': [104, 96, 99, 111], 'Nk2': 32144, 'analytic_conductor': 118.5348372015329, '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': [2009, 1, [493, 785], [1, 1]], 'conrey_index': 1, 'cusp_dim': 580, 'dim': 410, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 67110873, 'hecke_orbit_dims': [1, 3, 7, 11, 12, 17, 19, 30, 30, 36, 36, 44, 44, 60, 60], 'label': '2009.4.a', 'level': 2009, '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': [7, 41], 'level_radical': 287, 'mf_dim': 596, 'mf_new_dim': 410, 'num_forms': 15, 'plus_dim': 215, 'prim_orbit_index': 1, 'relative_dim': 410, 'sturm_bound': 784, 'trace_bound': 3, 'trace_display': [2, -4, 16, 0], 'traces': [410, 2, -4, 1618, 16, 24, 0, -18, 3754, 36, -84, 22, 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mf_twists_cc • Show schema
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id: 47140349
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 36, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996340815833, 'source_is_minimal': False, 'source_label': '2009.4.a.k.1.4', 'source_level': 2009, 'target_conrey_index': 1, 'target_dim': 36, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996340815833, 'target_is_minimal': False, 'target_label': '2009.4.a.k.1.4', 'target_level': 2009, 'twist_class_label': '287.4.e.a.165.33', 'twist_class_level': 287, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 47140350
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 36, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996340815833, 'source_is_minimal': False, 'source_label': '2009.4.a.k.1.4', 'source_level': 2009, 'target_conrey_index': 247, 'target_dim': 72, 'target_embedding_index': 33, 'target_hecke_orbit_code': 274945016095, 'target_is_minimal': True, 'target_label': '287.4.e.a.247.33', 'target_level': 287, 'twist_class_label': '287.4.e.a.165.33', 'twist_class_level': 287, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 47140351
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 36, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996340815833, 'source_is_minimal': False, 'source_label': '2009.4.a.k.1.4', 'source_level': 2009, 'target_conrey_index': 165, 'target_dim': 72, 'target_embedding_index': 33, 'target_hecke_orbit_code': 274945016095, 'target_is_minimal': True, 'target_label': '287.4.e.a.165.33', 'target_level': 287, 'twist_class_label': '287.4.e.a.165.33', 'twist_class_level': 287, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 4}
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id: 47140352
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 36, 'source_embedding_index': 4, 'source_hecke_orbit_code': 45035996340815833, 'source_is_minimal': False, 'source_label': '2009.4.a.k.1.4', 'source_level': 2009, 'target_conrey_index': 1, 'target_dim': 36, 'target_embedding_index': 4, 'target_hecke_orbit_code': 40532396713445337, 'target_is_minimal': False, 'target_label': '2009.4.a.j.1.4', 'target_level': 2009, 'twist_class_label': '287.4.e.a.165.33', 'twist_class_level': 287, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 4}
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hecke_orbit_code 45035996340815833 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': 11, 'label': '2009.4.a.k', 'level': 2009, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 55246291
{'hecke_orbit_code': 45035996340815833, 'n': 1, 'trace_an': 36}
-
id: 55246292
{'hecke_orbit_code': 45035996340815833, 'n': 2, 'trace_an': -5}
-
id: 55246293
{'hecke_orbit_code': 45035996340815833, 'n': 3, 'trace_an': 6}
-
id: 55246294
{'hecke_orbit_code': 45035996340815833, 'n': 4, 'trace_an': 117}
-
id: 55246295
{'hecke_orbit_code': 45035996340815833, 'n': 5, 'trace_an': -4}
-
id: 55246296
{'hecke_orbit_code': 45035996340815833, 'n': 6, 'trace_an': 12}
-
id: 55246297
{'hecke_orbit_code': 45035996340815833, 'n': 7, 'trace_an': 0}
-
id: 55246298
{'hecke_orbit_code': 45035996340815833, 'n': 8, 'trace_an': -39}
-
id: 55246299
{'hecke_orbit_code': 45035996340815833, 'n': 9, 'trace_an': 236}
-
id: 55246300
{'hecke_orbit_code': 45035996340815833, 'n': 10, 'trace_an': 12}
-
id: 55246301
{'hecke_orbit_code': 45035996340815833, 'n': 11, 'trace_an': -140}
-
id: 55246302
{'hecke_orbit_code': 45035996340815833, 'n': 12, 'trace_an': -186}
-
id: 55246303
{'hecke_orbit_code': 45035996340815833, 'n': 13, 'trace_an': 72}
-
id: 55246304
{'hecke_orbit_code': 45035996340815833, 'n': 14, 'trace_an': 0}
-
id: 55246305
{'hecke_orbit_code': 45035996340815833, 'n': 15, 'trace_an': -366}
-
id: 55246306
{'hecke_orbit_code': 45035996340815833, 'n': 16, 'trace_an': -15}
-
id: 55246307
{'hecke_orbit_code': 45035996340815833, 'n': 17, 'trace_an': 2}
-
id: 55246308
{'hecke_orbit_code': 45035996340815833, 'n': 18, 'trace_an': -212}
-
id: 55246309
{'hecke_orbit_code': 45035996340815833, 'n': 19, 'trace_an': -30}
-
id: 55246310
{'hecke_orbit_code': 45035996340815833, 'n': 20, 'trace_an': 334}
-
id: 55246311
{'hecke_orbit_code': 45035996340815833, 'n': 21, 'trace_an': 0}
-
id: 55246312
{'hecke_orbit_code': 45035996340815833, 'n': 22, 'trace_an': -346}
-
id: 55246313
{'hecke_orbit_code': 45035996340815833, 'n': 23, 'trace_an': -314}
-
id: 55246314
{'hecke_orbit_code': 45035996340815833, 'n': 24, 'trace_an': -106}
-
id: 55246315
{'hecke_orbit_code': 45035996340815833, 'n': 25, 'trace_an': 570}
-
id: 55246316
{'hecke_orbit_code': 45035996340815833, 'n': 26, 'trace_an': -303}
-
id: 55246317
{'hecke_orbit_code': 45035996340815833, 'n': 27, 'trace_an': 204}
-
id: 55246318
{'hecke_orbit_code': 45035996340815833, 'n': 28, 'trace_an': 0}
-
id: 55246319
{'hecke_orbit_code': 45035996340815833, 'n': 29, 'trace_an': -356}
-
id: 55246320
{'hecke_orbit_code': 45035996340815833, 'n': 30, 'trace_an': -357}
-
id: 55246321
{'hecke_orbit_code': 45035996340815833, 'n': 31, 'trace_an': 4}
-
id: 55246322
{'hecke_orbit_code': 45035996340815833, 'n': 32, 'trace_an': -532}
-
id: 55246323
{'hecke_orbit_code': 45035996340815833, 'n': 33, 'trace_an': 30}
-
id: 55246324
{'hecke_orbit_code': 45035996340815833, 'n': 34, 'trace_an': 364}
-
id: 55246325
{'hecke_orbit_code': 45035996340815833, 'n': 35, 'trace_an': 0}
-
id: 55246326
{'hecke_orbit_code': 45035996340815833, 'n': 36, 'trace_an': 113}
-
id: 55246327
{'hecke_orbit_code': 45035996340815833, 'n': 37, 'trace_an': -1398}
-
id: 55246328
{'hecke_orbit_code': 45035996340815833, 'n': 38, 'trace_an': 264}
-
id: 55246329
{'hecke_orbit_code': 45035996340815833, 'n': 39, 'trace_an': -1348}
-
id: 55246330
{'hecke_orbit_code': 45035996340815833, 'n': 40, 'trace_an': -26}
-
id: 55246331
{'hecke_orbit_code': 45035996340815833, 'n': 41, 'trace_an': -1476}
-
id: 55246332
{'hecke_orbit_code': 45035996340815833, 'n': 42, 'trace_an': 0}
-
id: 55246333
{'hecke_orbit_code': 45035996340815833, 'n': 43, 'trace_an': -1072}
-
id: 55246334
{'hecke_orbit_code': 45035996340815833, 'n': 44, 'trace_an': -1507}
-
id: 55246335
{'hecke_orbit_code': 45035996340815833, 'n': 45, 'trace_an': 1132}
-
id: 55246336
{'hecke_orbit_code': 45035996340815833, 'n': 46, 'trace_an': -1356}
-
id: 55246337
{'hecke_orbit_code': 45035996340815833, 'n': 47, 'trace_an': 622}
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