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mf_newforms • Show schema
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{'Nk2': 864, 'analytic_conductor': 3.186103140309993, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 27, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [54, 9, [29], [8]], 'cm_discs': [], 'conrey_index': 7, 'conrey_indexes': [7, 13, 25, 31, 43, 49], 'dim': 30, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [5414906537278760306136568896, -15448935323095314214017461472, 29843185477858381469104998624, -35820655458076594122624961272, 28723378260909320654046959340, -10332697078675107661340059632, 1372884370965282518466927669, 56015892596566334106830763, -24851671359647079960049086, 1086946898088440305025451, 213914784932151977385018, -28342032699721311967518, 2463364103381439322464, -196451207835627177288, 12459848342420520558, -807525497728322793, 116831265863124312, -9470908894122324, 538031305531971, -33295905820323, 776738951613, 56186887842, 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label 54.4.e.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 864, 'analytic_conductor': 3.186103140309993, 'char_conductor': 27, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 9, 'char_parity': 1, 'char_values': [54, 9, [29], [8]], 'conrey_index': 7, 'cusp_dim': 150, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274945015862, 'hecke_orbit_dims': [24, 30], 'label': '54.4.e', 'level': 54, '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': 174, 'mf_new_dim': 54, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 9, 'sturm_bound': 36, 'trace_bound': 1, 'trace_display': [0, 0, -24, 0], 'traces': [54, 0, 0, 0, -24, 12, 0, 24, 96, 0, -51, -12, 0, -132, -72, 0, 204, 276, 0, 192, 204, 54, -660, 0, 432, -936, -1377, 0, -762, -504, 108, 0, 135, -270, 1248, 600, 0, 672, 696, 0, 2019, 912, -513, 264, 1674, 0, 162, 192, 594, -792, 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mf_twists_nf • Show schema
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id: 45564
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 30, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.4.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 30, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.4.e.b', 'target_level': 54, 'twist_class_label': '54.4.e.b', 'twist_class_level': 54, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 45565
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 30, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.4.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 30, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '54.4.e.b', 'target_level': 54, 'twist_class_label': '54.4.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 45566
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 30, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.4.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 30, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.4.e.b', 'target_level': 162, 'twist_class_label': '54.4.e.b', 'twist_class_level': 54, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 45567
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 30, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.4.e.b', 'source_level': 54, 'target_char_orbit': 5, 'target_dim': 30, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '162.4.e.b', 'target_level': 162, 'twist_class_label': '54.4.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 45568
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 9, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 30, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.4.e.b', 'source_level': 54, 'target_char_orbit': 1, 'target_dim': 15, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1458.4.a.i', 'target_level': 1458, 'twist_class_label': '54.4.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 45569
{'conductor': 27, 'degree': 6, 'multiplicity': 1, 'order': 18, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 30, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '54.4.e.b', 'source_level': 54, 'target_char_orbit': 1, 'target_dim': 15, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1458.4.a.j', 'target_level': 1458, 'twist_class_label': '54.4.e.b', 'twist_class_level': 54, 'twisting_char_label': '27.f', 'twisting_char_orbit': 6, 'weight': 4}
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hecke_orbit_code 4503874572386358 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '54.4.e.b', 'level': 54, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 85950000
{'hecke_orbit_code': 4503874572386358, 'n': 1, 'trace_an': 30}
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id: 85950001
{'hecke_orbit_code': 4503874572386358, 'n': 2, 'trace_an': 0}
-
id: 85950002
{'hecke_orbit_code': 4503874572386358, 'n': 3, 'trace_an': 0}
-
id: 85950003
{'hecke_orbit_code': 4503874572386358, 'n': 4, 'trace_an': 0}
-
id: 85950004
{'hecke_orbit_code': 4503874572386358, 'n': 5, 'trace_an': -12}
-
id: 85950005
{'hecke_orbit_code': 4503874572386358, 'n': 6, 'trace_an': 30}
-
id: 85950006
{'hecke_orbit_code': 4503874572386358, 'n': 7, 'trace_an': 33}
-
id: 85950007
{'hecke_orbit_code': 4503874572386358, 'n': 8, 'trace_an': 120}
-
id: 85950008
{'hecke_orbit_code': 4503874572386358, 'n': 9, 'trace_an': 42}
-
id: 85950009
{'hecke_orbit_code': 4503874572386358, 'n': 10, 'trace_an': -30}
-
id: 85950010
{'hecke_orbit_code': 4503874572386358, 'n': 11, 'trace_an': -39}
-
id: 85950011
{'hecke_orbit_code': 4503874572386358, 'n': 12, 'trace_an': 24}
-
id: 85950012
{'hecke_orbit_code': 4503874572386358, 'n': 13, 'trace_an': -60}
-
id: 85950013
{'hecke_orbit_code': 4503874572386358, 'n': 14, 'trace_an': -66}
-
id: 85950014
{'hecke_orbit_code': 4503874572386358, 'n': 15, 'trace_an': -153}
-
id: 85950015
{'hecke_orbit_code': 4503874572386358, 'n': 16, 'trace_an': 0}
-
id: 85950016
{'hecke_orbit_code': 4503874572386358, 'n': 17, 'trace_an': 102}
-
id: 85950017
{'hecke_orbit_code': 4503874572386358, 'n': 18, 'trace_an': 168}
-
id: 85950018
{'hecke_orbit_code': 4503874572386358, 'n': 19, 'trace_an': -171}
-
id: 85950019
{'hecke_orbit_code': 4503874572386358, 'n': 20, 'trace_an': 96}
-
id: 85950020
{'hecke_orbit_code': 4503874572386358, 'n': 21, 'trace_an': 78}
-
id: 85950021
{'hecke_orbit_code': 4503874572386358, 'n': 22, 'trace_an': 78}
-
id: 85950022
{'hecke_orbit_code': 4503874572386358, 'n': 23, 'trace_an': 48}
-
id: 85950023
{'hecke_orbit_code': 4503874572386358, 'n': 24, 'trace_an': 0}
-
id: 85950024
{'hecke_orbit_code': 4503874572386358, 'n': 25, 'trace_an': -432}
-
id: 85950025
{'hecke_orbit_code': 4503874572386358, 'n': 26, 'trace_an': -468}
-
id: 85950026
{'hecke_orbit_code': 4503874572386358, 'n': 27, 'trace_an': -675}
-
id: 85950027
{'hecke_orbit_code': 4503874572386358, 'n': 28, 'trace_an': 336}
-
id: 85950028
{'hecke_orbit_code': 4503874572386358, 'n': 29, 'trace_an': -381}
-
id: 85950029
{'hecke_orbit_code': 4503874572386358, 'n': 30, 'trace_an': -486}
-
id: 85950030
{'hecke_orbit_code': 4503874572386358, 'n': 31, 'trace_an': -801}
-
id: 85950031
{'hecke_orbit_code': 4503874572386358, 'n': 32, 'trace_an': 0}
-
id: 85950032
{'hecke_orbit_code': 4503874572386358, 'n': 33, 'trace_an': 954}
-
id: 85950033
{'hecke_orbit_code': 4503874572386358, 'n': 34, 'trace_an': -222}
-
id: 85950034
{'hecke_orbit_code': 4503874572386358, 'n': 35, 'trace_an': 624}
-
id: 85950035
{'hecke_orbit_code': 4503874572386358, 'n': 36, 'trace_an': 132}
-
id: 85950036
{'hecke_orbit_code': 4503874572386358, 'n': 37, 'trace_an': -555}
-
id: 85950037
{'hecke_orbit_code': 4503874572386358, 'n': 38, 'trace_an': 606}
-
id: 85950038
{'hecke_orbit_code': 4503874572386358, 'n': 39, 'trace_an': 363}
-
id: 85950039
{'hecke_orbit_code': 4503874572386358, 'n': 40, 'trace_an': 96}
-
id: 85950040
{'hecke_orbit_code': 4503874572386358, 'n': 41, 'trace_an': 1401}
-
id: 85950041
{'hecke_orbit_code': 4503874572386358, 'n': 42, 'trace_an': -420}
-
id: 85950042
{'hecke_orbit_code': 4503874572386358, 'n': 43, 'trace_an': 648}
-
id: 85950043
{'hecke_orbit_code': 4503874572386358, 'n': 44, 'trace_an': 132}
-
id: 85950044
{'hecke_orbit_code': 4503874572386358, 'n': 45, 'trace_an': 2583}
-
id: 85950045
{'hecke_orbit_code': 4503874572386358, 'n': 46, 'trace_an': -348}
-
id: 85950046
{'hecke_orbit_code': 4503874572386358, 'n': 47, 'trace_an': 540}
-
id: 85950047
{'hecke_orbit_code': 4503874572386358, 'n': 48, 'trace_an': 192}
-
id: 85950048
{'hecke_orbit_code': 4503874572386358, 'n': 49, 'trace_an': 15}
-
id: 85950049
{'hecke_orbit_code': 4503874572386358, 'n': 50, 'trace_an': -828}
-
id: 85950050
{'hecke_orbit_code': 4503874572386358, 'n': 51, 'trace_an': -2376}
-
id: 85950051
{'hecke_orbit_code': 4503874572386358, 'n': 52, 'trace_an': -240}
-
id: 85950052
{'hecke_orbit_code': 4503874572386358, 'n': 53, 'trace_an': -1794}
-
id: 85950053
{'hecke_orbit_code': 4503874572386358, 'n': 54, 'trace_an': -522}
-
id: 85950054
{'hecke_orbit_code': 4503874572386358, 'n': 55, 'trace_an': 3906}
-
id: 85950055
{'hecke_orbit_code': 4503874572386358, 'n': 56, 'trace_an': -264}
-
id: 85950056
{'hecke_orbit_code': 4503874572386358, 'n': 57, 'trace_an': -1656}
-
id: 85950057
{'hecke_orbit_code': 4503874572386358, 'n': 58, 'trace_an': -444}
-
id: 85950058
{'hecke_orbit_code': 4503874572386358, 'n': 59, 'trace_an': -1500}
-
id: 85950059
{'hecke_orbit_code': 4503874572386358, 'n': 60, 'trace_an': 1332}
-
id: 85950060
{'hecke_orbit_code': 4503874572386358, 'n': 61, 'trace_an': -378}
-
id: 85950061
{'hecke_orbit_code': 4503874572386358, 'n': 62, 'trace_an': 744}
-
id: 85950062
{'hecke_orbit_code': 4503874572386358, 'n': 63, 'trace_an': 840}
-
id: 85950063
{'hecke_orbit_code': 4503874572386358, 'n': 64, 'trace_an': -960}
-
id: 85950064
{'hecke_orbit_code': 4503874572386358, 'n': 65, 'trace_an': 3666}
-
id: 85950065
{'hecke_orbit_code': 4503874572386358, 'n': 66, 'trace_an': 1710}
-
id: 85950066
{'hecke_orbit_code': 4503874572386358, 'n': 67, 'trace_an': 3087}
-
id: 85950067
{'hecke_orbit_code': 4503874572386358, 'n': 68, 'trace_an': -24}
-
id: 85950068
{'hecke_orbit_code': 4503874572386358, 'n': 69, 'trace_an': 1665}
-
id: 85950069
{'hecke_orbit_code': 4503874572386358, 'n': 70, 'trace_an': 2118}
-
id: 85950070
{'hecke_orbit_code': 4503874572386358, 'n': 71, 'trace_an': 120}
-
id: 85950071
{'hecke_orbit_code': 4503874572386358, 'n': 72, 'trace_an': 672}
-
id: 85950072
{'hecke_orbit_code': 4503874572386358, 'n': 73, 'trace_an': -2604}
-
id: 85950073
{'hecke_orbit_code': 4503874572386358, 'n': 74, 'trace_an': -1974}
-
id: 85950074
{'hecke_orbit_code': 4503874572386358, 'n': 75, 'trace_an': -2643}
-
id: 85950075
{'hecke_orbit_code': 4503874572386358, 'n': 76, 'trace_an': -1212}
-
id: 85950076
{'hecke_orbit_code': 4503874572386358, 'n': 77, 'trace_an': -6504}
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