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mf_newforms • Show schema
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{'Nk2': 1750, 'analytic_conductor': 7.235897415869103, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 35, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [70, 12, [57, 31], [9, 4]], 'cm_discs': [], 'conrey_index': 23, 'dim': 32, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [40142906436562374691406250000, 8448961938407806244062500000, 889135393689954545512500000, 695438148905431627873500000, -162512650685008046610472500, -64777495878156548519586000, -4010415595378105857859800, -3465759690305283434029380, 919110215548772080019901, 284505380519580653841072, 15511057295058348570792, 14784371206351748846460, 267873951706633901421, -422837419889623233276, 6323863131144423936, -6786537796188686748, 616920357331561042, 84394359550034116, -2156013122985280, 1267572827507824, -32852034914039, -11338710393836, 355456682560, -75056139984, 6957080082, 78501312, -2177024, 649984, -91439, -440, 32, -8, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504355625500742, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 3, -1, 4, 0], [1, 1, 7, 3, 1, 3, 0], [1, 1, 35, 12, -1, 12, 0]], 'is_cm': False, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '70.5.l.b', 'level': 70, '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': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'minimal_twist': '70.5.l.b', 'prim_orbit_index': 12, 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '4.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '70.5.l', 'trace_display': [32, 8, -26, 14], 'traces': [32, 32, 8, 0, -26, 64, 14, 512, 0, 68, -228, 64, -96, 0, 1084, 1024, -30, 1016, 0, 128, -1904, -912, -708, 0, -478, -192, -1528, 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label 70.5.l.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'Nk2': 1750, 'analytic_conductor': 7.235897415869103, 'char_conductor': 35, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': -1, 'char_values': [70, 12, [57, 31], [9, 4]], 'conrey_index': 23, 'cusp_dim': 176, 'dim': 64, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 755998130246, 'hecke_orbit_dims': [32, 32], 'label': '70.5.l', 'level': 70, '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': True, 'level_primes': [2, 5, 7], 'level_radical': 70, 'mf_dim': 208, 'mf_new_dim': 64, 'num_forms': 2, 'prim_orbit_index': 12, 'relative_dim': 16, 'sturm_bound': 60, 'trace_bound': 2, 'trace_display': [0, 0, -36, -20], 'traces': [64, 0, 0, 0, -36, 128, -20, 0, 0, 64, -456, 0, 0, 0, 408, 2048, -60, 640, 0, 0, -2688, 0, -1320, 0, -2204, -384, -720, 1600, 0, 3264, 4184, 0, 2020, 0, 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-9423360, -4121200, 0, -11055844, -777216, -3040620, 8542080, 0, 274560, -6046464, -3320320, -2902800, 0, 1924796, 11300352, -7380480, 4750080, 0, -6012096, 5373848, 0, 12928040, 0, 2998728, 2327360, 6218540, 8488320, 0, 5945344], 'weight': 5, 'weight_parity': -1}
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mf_twists_nf • Show schema
Hide schema
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id: 60096
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 32, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.5.l.b', 'source_level': 70, 'target_char_orbit': 12, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.5.l.b', 'target_level': 70, 'twist_class_label': '70.5.l.b', 'twist_class_level': 70, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 5}
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id: 60097
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 32, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.5.l.b', 'source_level': 70, 'target_char_orbit': 12, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.5.l.b', 'target_level': 70, 'twist_class_label': '70.5.l.b', 'twist_class_level': 70, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 5}
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id: 60098
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 32, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.5.l.b', 'source_level': 70, 'target_char_orbit': 12, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.5.l.b', 'target_level': 70, 'twist_class_label': '70.5.l.b', 'twist_class_level': 70, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 5}
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id: 60099
{'conductor': 35, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 32, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '70.5.l.b', 'source_level': 70, 'target_char_orbit': 12, 'target_dim': 32, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '70.5.l.b', 'target_level': 70, 'twist_class_label': '70.5.l.b', 'twist_class_level': 70, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 5}
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hecke_orbit_code 4504355625500742 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 2, 'label': '70.5.l.b', 'level': 70, 'portrait': 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', 'weight': 5}
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mf_hecke_traces • Show schema
Hide schema
-
id: 92651000
{'hecke_orbit_code': 4504355625500742, 'n': 1, 'trace_an': 32}
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id: 92651001
{'hecke_orbit_code': 4504355625500742, 'n': 2, 'trace_an': 32}
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id: 92651002
{'hecke_orbit_code': 4504355625500742, 'n': 3, 'trace_an': 8}
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id: 92651003
{'hecke_orbit_code': 4504355625500742, 'n': 4, 'trace_an': 0}
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id: 92651004
{'hecke_orbit_code': 4504355625500742, 'n': 5, 'trace_an': -26}
-
id: 92651005
{'hecke_orbit_code': 4504355625500742, 'n': 6, 'trace_an': 64}
-
id: 92651006
{'hecke_orbit_code': 4504355625500742, 'n': 7, 'trace_an': 14}
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id: 92651007
{'hecke_orbit_code': 4504355625500742, 'n': 8, 'trace_an': 512}
-
id: 92651008
{'hecke_orbit_code': 4504355625500742, 'n': 9, 'trace_an': 0}
-
id: 92651009
{'hecke_orbit_code': 4504355625500742, 'n': 10, 'trace_an': 68}
-
id: 92651010
{'hecke_orbit_code': 4504355625500742, 'n': 11, 'trace_an': -228}
-
id: 92651011
{'hecke_orbit_code': 4504355625500742, 'n': 12, 'trace_an': 64}
-
id: 92651012
{'hecke_orbit_code': 4504355625500742, 'n': 13, 'trace_an': -96}
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id: 92651013
{'hecke_orbit_code': 4504355625500742, 'n': 14, 'trace_an': 0}
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id: 92651014
{'hecke_orbit_code': 4504355625500742, 'n': 15, 'trace_an': 1084}
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id: 92651015
{'hecke_orbit_code': 4504355625500742, 'n': 16, 'trace_an': 1024}
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id: 92651016
{'hecke_orbit_code': 4504355625500742, 'n': 17, 'trace_an': -30}
-
id: 92651017
{'hecke_orbit_code': 4504355625500742, 'n': 18, 'trace_an': 1016}
-
id: 92651018
{'hecke_orbit_code': 4504355625500742, 'n': 19, 'trace_an': 0}
-
id: 92651019
{'hecke_orbit_code': 4504355625500742, 'n': 20, 'trace_an': 128}
-
id: 92651020
{'hecke_orbit_code': 4504355625500742, 'n': 21, 'trace_an': -1904}
-
id: 92651021
{'hecke_orbit_code': 4504355625500742, 'n': 22, 'trace_an': -912}
-
id: 92651022
{'hecke_orbit_code': 4504355625500742, 'n': 23, 'trace_an': -708}
-
id: 92651023
{'hecke_orbit_code': 4504355625500742, 'n': 24, 'trace_an': 0}
-
id: 92651024
{'hecke_orbit_code': 4504355625500742, 'n': 25, 'trace_an': -478}
-
id: 92651025
{'hecke_orbit_code': 4504355625500742, 'n': 26, 'trace_an': -192}
-
id: 92651026
{'hecke_orbit_code': 4504355625500742, 'n': 27, 'trace_an': -1528}
-
id: 92651027
{'hecke_orbit_code': 4504355625500742, 'n': 28, 'trace_an': 1184}
-
id: 92651028
{'hecke_orbit_code': 4504355625500742, 'n': 29, 'trace_an': 0}
-
id: 92651029
{'hecke_orbit_code': 4504355625500742, 'n': 30, 'trace_an': 2252}
-
id: 92651030
{'hecke_orbit_code': 4504355625500742, 'n': 31, 'trace_an': 2092}
-
id: 92651031
{'hecke_orbit_code': 4504355625500742, 'n': 32, 'trace_an': -2048}
-
id: 92651032
{'hecke_orbit_code': 4504355625500742, 'n': 33, 'trace_an': 1010}
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{'hecke_orbit_code': 4504355625500742, 'n': 983, 'trace_an': -3444168}
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id: 92651983
{'hecke_orbit_code': 4504355625500742, 'n': 984, 'trace_an': 0}
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id: 92651984
{'hecke_orbit_code': 4504355625500742, 'n': 985, 'trace_an': -3614306}
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id: 92651985
{'hecke_orbit_code': 4504355625500742, 'n': 986, 'trace_an': 4181856}
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id: 92651986
{'hecke_orbit_code': 4504355625500742, 'n': 987, 'trace_an': -6103264}
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id: 92651987
{'hecke_orbit_code': 4504355625500742, 'n': 988, 'trace_an': -1317120}
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id: 92651988
{'hecke_orbit_code': 4504355625500742, 'n': 989, 'trace_an': 0}
-
id: 92651989
{'hecke_orbit_code': 4504355625500742, 'n': 990, 'trace_an': -5046032}
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id: 92651990
{'hecke_orbit_code': 4504355625500742, 'n': 991, 'trace_an': -1066436}
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id: 92651991
{'hecke_orbit_code': 4504355625500742, 'n': 992, 'trace_an': 267776}
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id: 92651992
{'hecke_orbit_code': 4504355625500742, 'n': 993, 'trace_an': 2664852}
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id: 92651993
{'hecke_orbit_code': 4504355625500742, 'n': 994, 'trace_an': 0}
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id: 92651994
{'hecke_orbit_code': 4504355625500742, 'n': 995, 'trace_an': -660940}
-
id: 92651995
{'hecke_orbit_code': 4504355625500742, 'n': 996, 'trace_an': 3383200}
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id: 92651996
{'hecke_orbit_code': 4504355625500742, 'n': 997, 'trace_an': 5980822}
-
id: 92651997
{'hecke_orbit_code': 4504355625500742, 'n': 998, 'trace_an': 6246664}
-
id: 92651998
{'hecke_orbit_code': 4504355625500742, 'n': 999, 'trace_an': 0}
-
id: 92651999
{'hecke_orbit_code': 4504355625500742, 'n': 1000, 'trace_an': 3527936}