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mf_newforms • Show schema
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{'Nk2': 1728, 'analytic_conductor': 3.4495373673193126, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 108, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 18, 'char_parity': 1, 'char_values': [432, 18, [271, 325, 353], [9, 18, 7]], 'cm_discs': [], 'conrey_index': 47, 'conrey_indexes': [47, 95, 191, 239, 335, 383], 'dim': 36, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [1847624256, -1490169312, 7486363440, -8394149232, 27541205928, 20676363102, -33302928141, -7846770834, -8579305755, -15193153395, -618190542, 6777318600, 20842273782, 9825163110, -2593039149, -2869259598, 595177713, 728806734, -410772249, -395074827, -40406283, 52419744, 21695445, 5571072, 3988251, 1473687, 169857, -2952, 10935, 2277, -2493, -108, 0, -33, 9, -3, 1]], [7, [34012224, 867311712, 14310643248, 110454697440, 674560187064, 785115858294, -264127771323, -1376567353161, -386523593739, 897025641192, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1728, 'analytic_conductor': 3.4495373673193126, 'char_conductor': 108, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 31, 'char_orbit_label': 'be', 'char_order': 18, 'char_parity': 1, 'char_values': [432, 18, [271, 325, 353], [9, 18, 7]], 'conrey_index': 47, 'cusp_dim': 396, 'dim': 108, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7], 'hecke_orbit_code': 2061617856944, 'hecke_orbit_dims': [36, 36, 36], 'label': '432.2.be', 'level': 432, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3], 'level_radical': 6, 'mf_dim': 468, 'mf_new_dim': 108, 'num_forms': 3, 'prim_orbit_index': 12, 'relative_dim': 18, 'sturm_bound': 144, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, -72, 0, 0, 0, 54, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, -108, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -18, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -18, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 216, 0, 0, 0, -54, 0, 0, 0, 324, 0, 0, 0, 252, 0, 0, 0, -108, 0, 0, 0, 252, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 324, 0, 0, 0, -108, 0, 0, 0, 324, 0, 0, 0, 216, 0, 0, 0, -54, 0, 0, 0, 180, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 126, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 54, 0, 0, 0, -144, 0, 0, 0, -108, 0, 0, 0, -216, 0, 0, 0, -216, 0, 0, 0, -288, 0, 0, 0, -108, 0, 0, 0, -288, 0, 0, 0, -90, 0, 0, 0, 0, 0, 0, 0, -180, 0, 0, 0, -432, 0, 0, 0, -108, 0, 0, 0, -432, 0, 0, 0, -324, 0, 0, 0, -216, 0, 0, 0, -216, 0, 0, 0, -360, 0, 0, 0, 54, 0, 0, 0, -144, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 234, 0, 0, 0, 216, 0, 0, 0, -54, 0, 0, 0, 324, 0, 0, 0, 180, 0, 0, 0, -108, 0, 0, 0, 342, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, 288, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 468, 0, 0, 0, -54, 0, 0, 0, 324, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, -252, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, -540, 0, 0, 0, 108, 0, 0, 0, -648, 0, 0, 0, -252, 0, 0, 0, 216, 0, 0, 0, -504, 0, 0, 0, -684, 0, 0, 0, 0, 0, 0, 0, -648, 0, 0, 0, -396, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, -450, 0, 0, 0, 108, 0, 0, 0, -414, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 108, 0, 0, 0, 540, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 540, 0, 0, 0, 432, 0, 0, 0, 432, 0, 0, 0, 612, 0, 0, 0, 432, 0, 0, 0, 522, 0, 0, 0, 792, 0, 0, 0, -324, 0, 0, 0, 792, 0, 0, 0, 486, 0, 0, 0, 432, 0, 0, 0, 864, 0, 0, 0, 396, 0, 0, 0, 432, 0, 0, 0, 180, 0, 0, 0, 504, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 108, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, -54, 0, 0, 0, 216, 0, 0, 0, -432, 0, 0, 0, -756, 0, 0, 0, 108, 0, 0, 0, -900, 0, 0, 0, -270, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, -936, 0, 0, 0, 108, 0, 0, 0, -756, 0, 0, 0, -396, 0, 0, 0, 216, 0, 0, 0, -324, 0, 0, 0, -504, 0, 0, 0, 0, 0, 0, 0, -612, 0, 0, 0, -360, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, -54, 0, 0, 0, -108, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, 414, 0, 0, 0, 0, 0, 0, 0, -108, 0, 0, 0, 0, 0, 0, 0, 522, 0, 0, 0, 0, 0, 0, 0, 468, 0, 0, 0, 216, 0, 0, 0, 0, 0, 0, 0, 396, 0, 0, 0, 432, 0, 0, 0, 0, 0, 0, 0, 378, 0, 0, 0, 252, 0, 0, 0, -108, 0, 0, 0, 144, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -162, 0, 0, 0, 0, 0, 0, 0, -342, 0, 0, 0, -216, 0, 0, 0, -684, 0, 0, 0, 72, 0, 0, 0, -162, 0, 0, 0, -360, 0, 0, 0, -972, 0, 0, 0, 0, 0, 0, 0, -540, 0, 0, 0, -720, 0, 0, 0, -648, 0, 0, 0, -468, 0, 0, 0, -720, 0, 0, 0, -216, 0, 0, 0, -648, 0, 0, 0, -252, 0, 0, 0, -648, 0, 0, 0, -540, 0, 0, 0, -576, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 38769918
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 36, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505661245227440, 'source_is_minimal': True, 'source_label': '432.2.be.b.47.2', 'source_level': 432, 'target_conrey_index': 47, 'target_dim': 36, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505661245227440, 'target_is_minimal': True, 'target_label': '432.2.be.b.47.2', 'target_level': 432, 'twist_class_label': '432.2.be.b.47.2', 'twist_class_level': 432, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 38769919
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 36, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505661245227440, 'source_is_minimal': True, 'source_label': '432.2.be.b.47.2', 'source_level': 432, 'target_conrey_index': 47, 'target_dim': 36, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9009260872597936, 'target_is_minimal': True, 'target_label': '432.2.be.c.47.5', 'target_level': 432, 'twist_class_label': '432.2.be.b.47.2', 'twist_class_level': 432, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 38769920
{'conductor': 27, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 47, 'source_dim': 36, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505661245227440, 'source_is_minimal': True, 'source_label': '432.2.be.b.47.2', 'source_level': 432, 'target_conrey_index': 239, 'target_dim': 36, 'target_embedding_index': 5, 'target_hecke_orbit_code': 9009260872597936, 'target_is_minimal': True, 'target_label': '432.2.be.c.239.5', 'target_level': 432, 'twist_class_label': '432.2.be.b.47.2', 'twist_class_level': 432, 'twisting_char_label': '27.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 38769921
{'conductor': 108, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 47, 'source_dim': 36, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4505661245227440, 'source_is_minimal': True, 'source_label': '432.2.be.b.47.2', 'source_level': 432, 'target_conrey_index': 239, 'target_dim': 36, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4505661245227440, 'target_is_minimal': True, 'target_label': '432.2.be.b.239.2', 'target_level': 432, 'twist_class_label': '432.2.be.b.47.2', 'twist_class_level': 432, 'twisting_char_label': '108.23', 'twisting_conrey_index': 23, 'weight': 2}
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hecke_orbit_code 4505661245227440 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
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{'char_orbit_index': 31, 'hecke_orbit': 2, 'label': '432.2.be.b', 'level': 432, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 97688000
{'hecke_orbit_code': 4505661245227440, 'n': 1, 'trace_an': 36}
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id: 97688001
{'hecke_orbit_code': 4505661245227440, 'n': 2, 'trace_an': 0}
-
id: 97688002
{'hecke_orbit_code': 4505661245227440, 'n': 3, 'trace_an': 0}
-
id: 97688003
{'hecke_orbit_code': 4505661245227440, 'n': 4, 'trace_an': 0}
-
id: 97688004
{'hecke_orbit_code': 4505661245227440, 'n': 5, 'trace_an': 3}
-
id: 97688005
{'hecke_orbit_code': 4505661245227440, 'n': 6, 'trace_an': 0}
-
id: 97688006
{'hecke_orbit_code': 4505661245227440, 'n': 7, 'trace_an': 0}
-
id: 97688007
{'hecke_orbit_code': 4505661245227440, 'n': 8, 'trace_an': 0}
-
id: 97688008
{'hecke_orbit_code': 4505661245227440, 'n': 9, 'trace_an': 6}
-
id: 97688009
{'hecke_orbit_code': 4505661245227440, 'n': 10, 'trace_an': 0}
-
id: 97688010
{'hecke_orbit_code': 4505661245227440, 'n': 11, 'trace_an': -18}
-
id: 97688011
{'hecke_orbit_code': 4505661245227440, 'n': 12, 'trace_an': 0}
-
id: 97688012
{'hecke_orbit_code': 4505661245227440, 'n': 13, 'trace_an': 0}
-
id: 97688013
{'hecke_orbit_code': 4505661245227440, 'n': 14, 'trace_an': 0}
-
id: 97688014
{'hecke_orbit_code': 4505661245227440, 'n': 15, 'trace_an': 9}
-
id: 97688015
{'hecke_orbit_code': 4505661245227440, 'n': 16, 'trace_an': 0}
-
id: 97688016
{'hecke_orbit_code': 4505661245227440, 'n': 17, 'trace_an': 0}
-
id: 97688017
{'hecke_orbit_code': 4505661245227440, 'n': 18, 'trace_an': 0}
-
id: 97688018
{'hecke_orbit_code': 4505661245227440, 'n': 19, 'trace_an': 0}
-
id: 97688019
{'hecke_orbit_code': 4505661245227440, 'n': 20, 'trace_an': 0}
-
id: 97688020
{'hecke_orbit_code': 4505661245227440, 'n': 21, 'trace_an': 18}
-
id: 97688021
{'hecke_orbit_code': 4505661245227440, 'n': 22, 'trace_an': 0}
-
id: 97688022
{'hecke_orbit_code': 4505661245227440, 'n': 23, 'trace_an': 0}
-
id: 97688023
{'hecke_orbit_code': 4505661245227440, 'n': 24, 'trace_an': 0}
-
id: 97688024
{'hecke_orbit_code': 4505661245227440, 'n': 25, 'trace_an': -9}
-
id: 97688025
{'hecke_orbit_code': 4505661245227440, 'n': 26, 'trace_an': 0}
-
id: 97688026
{'hecke_orbit_code': 4505661245227440, 'n': 27, 'trace_an': 0}
-
id: 97688027
{'hecke_orbit_code': 4505661245227440, 'n': 28, 'trace_an': 0}
-
id: 97688028
{'hecke_orbit_code': 4505661245227440, 'n': 29, 'trace_an': 30}
-
id: 97688029
{'hecke_orbit_code': 4505661245227440, 'n': 30, 'trace_an': 0}
-
id: 97688030
{'hecke_orbit_code': 4505661245227440, 'n': 31, 'trace_an': 27}
-
id: 97688031
{'hecke_orbit_code': 4505661245227440, 'n': 32, 'trace_an': 0}
-
id: 97688032
{'hecke_orbit_code': 4505661245227440, 'n': 33, 'trace_an': 27}
-
id: 97688033
{'hecke_orbit_code': 4505661245227440, 'n': 34, 'trace_an': 0}
-
id: 97688034
{'hecke_orbit_code': 4505661245227440, 'n': 35, 'trace_an': 27}
-
id: 97688035
{'hecke_orbit_code': 4505661245227440, 'n': 36, 'trace_an': 0}
-
id: 97688036
{'hecke_orbit_code': 4505661245227440, 'n': 37, 'trace_an': 0}
-
id: 97688037
{'hecke_orbit_code': 4505661245227440, 'n': 38, 'trace_an': 0}
-
id: 97688038
{'hecke_orbit_code': 4505661245227440, 'n': 39, 'trace_an': -45}
-
id: 97688039
{'hecke_orbit_code': 4505661245227440, 'n': 40, 'trace_an': 0}
-
id: 97688040
{'hecke_orbit_code': 4505661245227440, 'n': 41, 'trace_an': 18}
-
id: 97688041
{'hecke_orbit_code': 4505661245227440, 'n': 42, 'trace_an': 0}
-
id: 97688042
{'hecke_orbit_code': 4505661245227440, 'n': 43, 'trace_an': 0}
-
id: 97688043
{'hecke_orbit_code': 4505661245227440, 'n': 44, 'trace_an': 0}
-
id: 97688044
{'hecke_orbit_code': 4505661245227440, 'n': 45, 'trace_an': 27}
-
id: 97688045
{'hecke_orbit_code': 4505661245227440, 'n': 46, 'trace_an': 0}
-
id: 97688046
{'hecke_orbit_code': 4505661245227440, 'n': 47, 'trace_an': 45}
-
id: 97688047
{'hecke_orbit_code': 4505661245227440, 'n': 48, 'trace_an': 0}
-
id: 97688048
{'hecke_orbit_code': 4505661245227440, 'n': 49, 'trace_an': 0}
-
id: 97688049
{'hecke_orbit_code': 4505661245227440, 'n': 50, 'trace_an': 0}
-
id: 97688050
{'hecke_orbit_code': 4505661245227440, 'n': 51, 'trace_an': -63}
-
id: 97688051
{'hecke_orbit_code': 4505661245227440, 'n': 52, 'trace_an': 0}
-
id: 97688052
{'hecke_orbit_code': 4505661245227440, 'n': 53, 'trace_an': 0}
-
id: 97688053
{'hecke_orbit_code': 4505661245227440, 'n': 54, 'trace_an': 0}
-
id: 97688054
{'hecke_orbit_code': 4505661245227440, 'n': 55, 'trace_an': 0}
-
id: 97688055
{'hecke_orbit_code': 4505661245227440, 'n': 56, 'trace_an': 0}
-
id: 97688056
{'hecke_orbit_code': 4505661245227440, 'n': 57, 'trace_an': -9}
-
id: 97688057
{'hecke_orbit_code': 4505661245227440, 'n': 58, 'trace_an': 0}
-
id: 97688058
{'hecke_orbit_code': 4505661245227440, 'n': 59, 'trace_an': 54}
-
id: 97688059
{'hecke_orbit_code': 4505661245227440, 'n': 60, 'trace_an': 0}
-
id: 97688060
{'hecke_orbit_code': 4505661245227440, 'n': 61, 'trace_an': 0}
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id: 97688061
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