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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': 30, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [82043329536, 1162749127680, 3970158640128, -1001730624256, -12264510280832, -1808218453952, 16000349341488, 3332173138720, -11704138141932, -2280077113328, 5318706257035, 870661100109, -1588153926921, -209513108265, 323420085095, 33644411437, -46024462082, -3712076877, 4637868832, 284601668, -331815004, -15101392, 16699856, 542601, -576578, -12569, 12973, 169, -171, -1, 1]], [3, [84009759265820304, 4063679875216654544, -2459249472728020008, -23985179087183989056, 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label 2009.4.a.h does not appear in mf_hecke_nf
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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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-112220, 26650, 0, 119336, 281092, -57212, -206592, 140414, 234494, 0, 16204, -166952, 67976, -402552, 1836, 140278, 0, 416160, 236078, 76108, -246304, -34124, -27980, 0, 1036, -517370, -207804, -195298, -42328, -331480, 0, -481624, -33828, 349596, -69952, -365722, -36628, 0, -12824, 586170, -69888, -190092, 6232, 80296, 0, 78284, 56068, -75260, -170964, -149792, 226396, 0, -120260, -498758, -324540, 181008, -68480, 213996, 0, -116902, 504970, 22224, -193680, 273460, 21160, 0, -199150, -525366, -26152, 362644, 74516, 620838, 0, -267712, 31596, -349000, 44728, -199904, 145936, 0, -6982, 41224, 103720, 10168, 24136, -243672, 0, 182812, 281552, 660094, -160494, -127156, -69936, 0, -376220, 700600, -111442, -371496, 216120, 59692], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 857138
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 30, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '2009.4.a.h', 'source_level': 2009, 'target_char_orbit': 1, 'target_dim': 30, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '2009.4.a.h', 'target_level': 2009, 'twist_class_label': '2009.4.a.h', 'twist_class_level': 2009, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 857139
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 30, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '2009.4.a.h', 'source_level': 2009, 'target_char_orbit': 1, 'target_dim': 30, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '2009.4.a.i', 'target_level': 2009, 'twist_class_label': '2009.4.a.h', 'twist_class_level': 2009, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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hecke_orbit_code 31525197458704345 does not appear in mf_hecke_charpolys
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '2009.4.a.h', 'level': 2009, 'portrait': 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', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 191369000
{'hecke_orbit_code': 31525197458704345, 'n': 1, 'trace_an': 30}
-
id: 191369001
{'hecke_orbit_code': 31525197458704345, 'n': 2, 'trace_an': 1}
-
id: 191369002
{'hecke_orbit_code': 31525197458704345, 'n': 3, 'trace_an': -12}
-
id: 191369003
{'hecke_orbit_code': 31525197458704345, 'n': 4, 'trace_an': 103}
-
id: 191369004
{'hecke_orbit_code': 31525197458704345, 'n': 5, 'trace_an': -20}
-
id: 191369005
{'hecke_orbit_code': 31525197458704345, 'n': 6, 'trace_an': -36}
-
id: 191369006
{'hecke_orbit_code': 31525197458704345, 'n': 7, 'trace_an': 0}
-
id: 191369007
{'hecke_orbit_code': 31525197458704345, 'n': 8, 'trace_an': -9}
-
id: 191369008
{'hecke_orbit_code': 31525197458704345, 'n': 9, 'trace_an': 318}
-
id: 191369009
{'hecke_orbit_code': 31525197458704345, 'n': 10, 'trace_an': -80}
-
id: 191369010
{'hecke_orbit_code': 31525197458704345, 'n': 11, 'trace_an': 38}
-
id: 191369011
{'hecke_orbit_code': 31525197458704345, 'n': 12, 'trace_an': 83}
-
id: 191369012
{'hecke_orbit_code': 31525197458704345, 'n': 13, 'trace_an': -78}
-
id: 191369013
{'hecke_orbit_code': 31525197458704345, 'n': 14, 'trace_an': 0}
-
id: 191369014
{'hecke_orbit_code': 31525197458704345, 'n': 15, 'trace_an': 24}
-
id: 191369015
{'hecke_orbit_code': 31525197458704345, 'n': 16, 'trace_an': 287}
-
id: 191369016
{'hecke_orbit_code': 31525197458704345, 'n': 17, 'trace_an': -260}
-
id: 191369017
{'hecke_orbit_code': 31525197458704345, 'n': 18, 'trace_an': -185}
-
id: 191369018
{'hecke_orbit_code': 31525197458704345, 'n': 19, 'trace_an': -336}
-
id: 191369019
{'hecke_orbit_code': 31525197458704345, 'n': 20, 'trace_an': -240}
-
id: 191369020
{'hecke_orbit_code': 31525197458704345, 'n': 21, 'trace_an': 0}
-
id: 191369021
{'hecke_orbit_code': 31525197458704345, 'n': 22, 'trace_an': -160}
-
id: 191369022
{'hecke_orbit_code': 31525197458704345, 'n': 23, 'trace_an': -90}
-
id: 191369023
{'hecke_orbit_code': 31525197458704345, 'n': 24, 'trace_an': -1112}
-
id: 191369024
{'hecke_orbit_code': 31525197458704345, 'n': 25, 'trace_an': 606}
-
id: 191369025
{'hecke_orbit_code': 31525197458704345, 'n': 26, 'trace_an': 55}
-
id: 191369026
{'hecke_orbit_code': 31525197458704345, 'n': 27, 'trace_an': -432}
-
id: 191369027
{'hecke_orbit_code': 31525197458704345, 'n': 28, 'trace_an': 0}
-
id: 191369028
{'hecke_orbit_code': 31525197458704345, 'n': 29, 'trace_an': 130}
-
id: 191369029
{'hecke_orbit_code': 31525197458704345, 'n': 30, 'trace_an': -674}
-
id: 191369030
{'hecke_orbit_code': 31525197458704345, 'n': 31, 'trace_an': -1320}
-
id: 191369031
{'hecke_orbit_code': 31525197458704345, 'n': 32, 'trace_an': -331}
-
id: 191369032
{'hecke_orbit_code': 31525197458704345, 'n': 33, 'trace_an': -152}
-
id: 191369033
{'hecke_orbit_code': 31525197458704345, 'n': 34, 'trace_an': -816}
-
id: 191369034
{'hecke_orbit_code': 31525197458704345, 'n': 35, 'trace_an': 0}
-
id: 191369035
{'hecke_orbit_code': 31525197458704345, 'n': 36, 'trace_an': 983}
-
id: 191369036
{'hecke_orbit_code': 31525197458704345, 'n': 37, 'trace_an': -4}
-
id: 191369037
{'hecke_orbit_code': 31525197458704345, 'n': 38, 'trace_an': -396}
-
id: 191369038
{'hecke_orbit_code': 31525197458704345, 'n': 39, 'trace_an': -248}
-
id: 191369039
{'hecke_orbit_code': 31525197458704345, 'n': 40, 'trace_an': -934}
-
id: 191369040
{'hecke_orbit_code': 31525197458704345, 'n': 41, 'trace_an': -1230}
-
id: 191369041
{'hecke_orbit_code': 31525197458704345, 'n': 42, 'trace_an': 0}
-
id: 191369042
{'hecke_orbit_code': 31525197458704345, 'n': 43, 'trace_an': -214}
-
id: 191369043
{'hecke_orbit_code': 31525197458704345, 'n': 44, 'trace_an': 926}
-
id: 191369044
{'hecke_orbit_code': 31525197458704345, 'n': 45, 'trace_an': -804}
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