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mf_newforms • Show schema
Hide schema
{'Nk2': 116032, 'analytic_conductor': 231.63004618333014, 'atkin_lehner_eigenvals': [[2, 1], [7, -1], [37, 1]], 'atkin_lehner_string': '+-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [29008, 1, [10879, 7253, 14801, 12545], [9, 9, 9, 9]], 'cm_discs': [], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': -1, 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052547408, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': -1, 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'label': '29008.2.a.i', 'level': 29008, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 37], 'level_radical': 518, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{9}-4q^{11}+4q^{17}+2q^{19}+4q^{23}+\\cdots', 'related_objects': ['EllipticCurve/Q/29008/i'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '29008.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [1, 0, 0, 0, 0, 0, 0, 0, -3, 0, -4, 0, 0, 0, 0, 0, 4, 0, 2, 0, 0, 0, 4, 0, -5, 0, 0, 0, 10, 0, -6, 0, 0, 0, 0, 0, -1, 0, 0, 0, 6, 0, -4, 0, 0, 0, -12, 0, 0, 0, 0, 0, -6, 0, 0, 0, 0, 0, -2, 0, -12, 0, 0, 0, 0, 0, 12, 0, 0, 0, 8, 0, -2, 0, 0, 0, 0, 0, 12, 0, 9, 0, -16, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 8, 0, 12, 0], 'weight': 2, 'weight_parity': 1}
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label 29008.2.a.i does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [88, 92, 96, 93, 92, 88, 93, 96], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [433, 436, 436, 431, 440, 436, 427, 432], 'Nk2': 116032, 'analytic_conductor': 231.63004618333014, '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': [29008, 1, [10879, 7253, 14801, 12545], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 4209, 'dim': 738, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_orbit_code': 33583440, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 8, 8, 8, 8, 8, 10, 10, 10, 11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 14, 14, 16, 16, 16, 16, 16, 18, 18, 18, 18, 18, 18, 18, 20, 22, 30, 32], 'label': '29008.2.a', 'level': 29008, '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': [2, 7, 37], 'level_radical': 518, 'mf_dim': 4304, 'mf_new_dim': 738, 'num_forms': 112, 'plus_dim': 362, 'prim_orbit_index': 1, 'relative_dim': 738, 'sturm_bound': 8512, 'trace_display': [0, 0, 0, 0], 'traces': [738, 0, 0, 0, 0, 0, 0, 0, 734, 0, 0, 0, 0, 0, -4, 0, -4, 0, -14, 0, 0, 0, -18, 0, 746, 0, -12, 0, 8, 0, -2, 0, 8, 0, 0, 0, 0, 0, -44, 0, 4, 0, -10, 0, 8, 0, 24, 0, 0, 0, -20, 0, 8, 0, 4, 0, 16, 0, -2, 0, 24, 0, 0, 0, 16, 0, 36, 0, 40, 0, -8, 0, -4, 0, -52, 0, 0, 0, -6, 0, 738, 0, -32, 0, 16, 0, 24, 0, -20, 0, 0, 0, 40, 0, -68, 0, -28, 0, -24, 0, 40, 0, 18, 0, 0, 0, 8, 0, 16, 0, 8, 0, -4, 0, 12, 0, 16, 0, 0, 0, 718, 0, 16, 0, -48, 0, -8, 0, 8, 0, -18, 0, 0, 0, -60, 0, 28, 0, -28, 0, 24, 0, 12, 0, 0, 0, 0, 0, -12, 0, 16, 0, 12, 0, 32, 0, 28, 0, -4, 0, 0, 0, -6, 0, 8, 0, -18, 0, 746, 0, 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28, 0, -36, 0, 0, 0, -48, 0, 0, 0, -64, 0, 88, 0, -14, 0, 662, 0, -164, 0, 48, 0, 0, 0, 92, 0, -336, 0, -24, 0, 116, 0, 32, 0, 52, 0, 0, 0, -268, 0, -48, 0, -8, 0, 128, 0, -120, 0, -152, 0, 0, 0, 184, 0, -44, 0, 36, 0, -288, 0, 68, 0, -14, 0, 0, 0, -64, 0, 136, 0, 272, 0, -48, 0, 120, 0, 48, 0, 0, 0, 96, 0, 292, 0, -128, 0, -276, 0, -60, 0, 40, 0, 0, 0, 168, 0, 148, 0, 124, 0, 184, 0, 124, 0, 36, 0, 0, 0, -48, 0, 92, 0, -12, 0, 170, 0, 112, 0, -40, 0, 0, 0, -424, 0, 32, 0, -32, 0, 714, 0, 208, 0, 64, 0, 0, 0, -64, 0, 30, 0, 40, 0, -164, 0, -44, 0, 66, 0, 0, 0, -132, 0, 56, 0, 440, 0, 88, 0, 368, 0, 12, 0, 0, 0, -12, 0, -136, 0, -120, 0, 22, 0, 200, 0, 92, 0, 0, 0, -252, 0, -80, 0, 132, 0, -16, 0, -268, 0, 176, 0, 0, 0, -128, 0, -110, 0, 184, 0, -182, 0, -24, 0, -276, 0, 0, 0, 6, 0, -164, 0, 36, 0, 0, 0, -2, 0, -52, 0, 0, 0, 96, 0, 760, 0, -36, 0, 20, 0, 0, 0, 260, 0, 0, 0, 534, 0, 120, 0, -136, 0, -40, 0, 104, 0, 232, 0, 0, 0, 722, 0, 152, 0, 80, 0, 366, 0, 80, 0, 264, 0, 0, 0, -148, 0, -140, 0, 44, 0, -72, 0, -28, 0, 64, 0, 0, 0, -132, 0, -402, 0, -40, 0, 332, 0, 144, 0, 32, 0], 'weight': 2, 'weight_parity': 1}
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source_label 29008.2.a.i does not appear in mf_twists_nf
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hecke_orbit_code 36028797052547408 does not appear in mf_hecke_charpolys
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label 29008.2.a.i does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 141066942
{'hecke_orbit_code': 36028797052547408, 'n': 1, 'trace_an': 1}
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id: 141066943
{'hecke_orbit_code': 36028797052547408, 'n': 2, 'trace_an': 0}
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id: 141066944
{'hecke_orbit_code': 36028797052547408, 'n': 3, 'trace_an': 0}
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id: 141066945
{'hecke_orbit_code': 36028797052547408, 'n': 4, 'trace_an': 0}
-
id: 141066946
{'hecke_orbit_code': 36028797052547408, 'n': 5, 'trace_an': 0}
-
id: 141066947
{'hecke_orbit_code': 36028797052547408, 'n': 6, 'trace_an': 0}
-
id: 141066948
{'hecke_orbit_code': 36028797052547408, 'n': 7, 'trace_an': 0}
-
id: 141066949
{'hecke_orbit_code': 36028797052547408, 'n': 8, 'trace_an': 0}
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id: 141066950
{'hecke_orbit_code': 36028797052547408, 'n': 9, 'trace_an': -3}
-
id: 141066951
{'hecke_orbit_code': 36028797052547408, 'n': 10, 'trace_an': 0}
-
id: 141066952
{'hecke_orbit_code': 36028797052547408, 'n': 11, 'trace_an': -4}
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id: 141066953
{'hecke_orbit_code': 36028797052547408, 'n': 12, 'trace_an': 0}
-
id: 141066954
{'hecke_orbit_code': 36028797052547408, 'n': 13, 'trace_an': 0}
-
id: 141066955
{'hecke_orbit_code': 36028797052547408, 'n': 14, 'trace_an': 0}
-
id: 141066956
{'hecke_orbit_code': 36028797052547408, 'n': 15, 'trace_an': 0}
-
id: 141066957
{'hecke_orbit_code': 36028797052547408, 'n': 16, 'trace_an': 0}
-
id: 141066958
{'hecke_orbit_code': 36028797052547408, 'n': 17, 'trace_an': 4}
-
id: 141066959
{'hecke_orbit_code': 36028797052547408, 'n': 18, 'trace_an': 0}
-
id: 141066960
{'hecke_orbit_code': 36028797052547408, 'n': 19, 'trace_an': 2}
-
id: 141066961
{'hecke_orbit_code': 36028797052547408, 'n': 20, 'trace_an': 0}
-
id: 141066962
{'hecke_orbit_code': 36028797052547408, 'n': 21, 'trace_an': 0}
-
id: 141066963
{'hecke_orbit_code': 36028797052547408, 'n': 22, 'trace_an': 0}
-
id: 141066964
{'hecke_orbit_code': 36028797052547408, 'n': 23, 'trace_an': 4}
-
id: 141066965
{'hecke_orbit_code': 36028797052547408, 'n': 24, 'trace_an': 0}
-
id: 141066966
{'hecke_orbit_code': 36028797052547408, 'n': 25, 'trace_an': -5}
-
id: 141066967
{'hecke_orbit_code': 36028797052547408, 'n': 26, 'trace_an': 0}
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id: 141066968
{'hecke_orbit_code': 36028797052547408, 'n': 27, 'trace_an': 0}
-
id: 141066969
{'hecke_orbit_code': 36028797052547408, 'n': 28, 'trace_an': 0}
-
id: 141066970
{'hecke_orbit_code': 36028797052547408, 'n': 29, 'trace_an': 10}
-
id: 141066971
{'hecke_orbit_code': 36028797052547408, 'n': 30, 'trace_an': 0}
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id: 141066972
{'hecke_orbit_code': 36028797052547408, 'n': 31, 'trace_an': -6}
-
id: 141066973
{'hecke_orbit_code': 36028797052547408, 'n': 32, 'trace_an': 0}
-
id: 141066974
{'hecke_orbit_code': 36028797052547408, 'n': 33, 'trace_an': 0}
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id: 141066975
{'hecke_orbit_code': 36028797052547408, 'n': 34, 'trace_an': 0}
-
id: 141066976
{'hecke_orbit_code': 36028797052547408, 'n': 35, 'trace_an': 0}
-
id: 141066977
{'hecke_orbit_code': 36028797052547408, 'n': 36, 'trace_an': 0}
-
id: 141066978
{'hecke_orbit_code': 36028797052547408, 'n': 37, 'trace_an': -1}
-
id: 141066979
{'hecke_orbit_code': 36028797052547408, 'n': 38, 'trace_an': 0}
-
id: 141066980
{'hecke_orbit_code': 36028797052547408, 'n': 39, 'trace_an': 0}
-
id: 141066981
{'hecke_orbit_code': 36028797052547408, 'n': 40, 'trace_an': 0}
-
id: 141066982
{'hecke_orbit_code': 36028797052547408, 'n': 41, 'trace_an': 6}
-
id: 141066983
{'hecke_orbit_code': 36028797052547408, 'n': 42, 'trace_an': 0}
-
id: 141066984
{'hecke_orbit_code': 36028797052547408, 'n': 43, 'trace_an': -4}
-
id: 141066985
{'hecke_orbit_code': 36028797052547408, 'n': 44, 'trace_an': 0}
-
id: 141066986
{'hecke_orbit_code': 36028797052547408, 'n': 45, 'trace_an': 0}
-
id: 141066987
{'hecke_orbit_code': 36028797052547408, 'n': 46, 'trace_an': 0}
-
id: 141066988
{'hecke_orbit_code': 36028797052547408, 'n': 47, 'trace_an': -12}
-
id: 141066989
{'hecke_orbit_code': 36028797052547408, 'n': 48, 'trace_an': 0}
-
id: 141066990
{'hecke_orbit_code': 36028797052547408, 'n': 49, 'trace_an': 0}
-
id: 141066991
{'hecke_orbit_code': 36028797052547408, 'n': 50, 'trace_an': 0}
-
id: 141066992
{'hecke_orbit_code': 36028797052547408, 'n': 51, 'trace_an': 0}
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id: 141066993
{'hecke_orbit_code': 36028797052547408, 'n': 52, 'trace_an': 0}
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id: 141066994
{'hecke_orbit_code': 36028797052547408, 'n': 53, 'trace_an': -6}
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id: 141066995
{'hecke_orbit_code': 36028797052547408, 'n': 54, 'trace_an': 0}
-
id: 141066996
{'hecke_orbit_code': 36028797052547408, 'n': 55, 'trace_an': 0}
-
id: 141066997
{'hecke_orbit_code': 36028797052547408, 'n': 56, 'trace_an': 0}
-
id: 141066998
{'hecke_orbit_code': 36028797052547408, 'n': 57, 'trace_an': 0}
-
id: 141066999
{'hecke_orbit_code': 36028797052547408, 'n': 58, 'trace_an': 0}
-
id: 141067000
{'hecke_orbit_code': 36028797052547408, 'n': 59, 'trace_an': -2}
-
id: 141067001
{'hecke_orbit_code': 36028797052547408, 'n': 60, 'trace_an': 0}
-
id: 141067002
{'hecke_orbit_code': 36028797052547408, 'n': 61, 'trace_an': -12}
-
id: 141067003
{'hecke_orbit_code': 36028797052547408, 'n': 62, 'trace_an': 0}
-
id: 141067004
{'hecke_orbit_code': 36028797052547408, 'n': 63, 'trace_an': 0}
-
id: 141067005
{'hecke_orbit_code': 36028797052547408, 'n': 64, 'trace_an': 0}
-
id: 141067006
{'hecke_orbit_code': 36028797052547408, 'n': 65, 'trace_an': 0}
-
id: 141067007
{'hecke_orbit_code': 36028797052547408, 'n': 66, 'trace_an': 0}
-
id: 141067008
{'hecke_orbit_code': 36028797052547408, 'n': 67, 'trace_an': 12}
-
id: 141067009
{'hecke_orbit_code': 36028797052547408, 'n': 68, 'trace_an': 0}
-
id: 141067010
{'hecke_orbit_code': 36028797052547408, 'n': 69, 'trace_an': 0}
-
id: 141067011
{'hecke_orbit_code': 36028797052547408, 'n': 70, 'trace_an': 0}
-
id: 141067012
{'hecke_orbit_code': 36028797052547408, 'n': 71, 'trace_an': 8}
-
id: 141067013
{'hecke_orbit_code': 36028797052547408, 'n': 72, 'trace_an': 0}
-
id: 141067014
{'hecke_orbit_code': 36028797052547408, 'n': 73, 'trace_an': -2}
-
id: 141067015
{'hecke_orbit_code': 36028797052547408, 'n': 74, 'trace_an': 0}
-
id: 141067016
{'hecke_orbit_code': 36028797052547408, 'n': 75, 'trace_an': 0}
-
id: 141067017
{'hecke_orbit_code': 36028797052547408, 'n': 76, 'trace_an': 0}
-
id: 141067018
{'hecke_orbit_code': 36028797052547408, 'n': 77, 'trace_an': 0}
-
id: 141067019
{'hecke_orbit_code': 36028797052547408, 'n': 78, 'trace_an': 0}
-
id: 141067020
{'hecke_orbit_code': 36028797052547408, 'n': 79, 'trace_an': 12}
-
id: 141067021
{'hecke_orbit_code': 36028797052547408, 'n': 80, 'trace_an': 0}
-
id: 141067022
{'hecke_orbit_code': 36028797052547408, 'n': 81, 'trace_an': 9}
-
id: 141067023
{'hecke_orbit_code': 36028797052547408, 'n': 82, 'trace_an': 0}
-
id: 141067024
{'hecke_orbit_code': 36028797052547408, 'n': 83, 'trace_an': -16}
-
id: 141067025
{'hecke_orbit_code': 36028797052547408, 'n': 84, 'trace_an': 0}
-
id: 141067026
{'hecke_orbit_code': 36028797052547408, 'n': 85, 'trace_an': 0}
-
id: 141067027
{'hecke_orbit_code': 36028797052547408, 'n': 86, 'trace_an': 0}
-
id: 141067028
{'hecke_orbit_code': 36028797052547408, 'n': 87, 'trace_an': 0}
-
id: 141067029
{'hecke_orbit_code': 36028797052547408, 'n': 88, 'trace_an': 0}
-
id: 141067030
{'hecke_orbit_code': 36028797052547408, 'n': 89, 'trace_an': -12}
-
id: 141067031
{'hecke_orbit_code': 36028797052547408, 'n': 90, 'trace_an': 0}
-
id: 141067032
{'hecke_orbit_code': 36028797052547408, 'n': 91, 'trace_an': 0}
-
id: 141067033
{'hecke_orbit_code': 36028797052547408, 'n': 92, 'trace_an': 0}
-
id: 141067034
{'hecke_orbit_code': 36028797052547408, 'n': 93, 'trace_an': 0}
-
id: 141067035
{'hecke_orbit_code': 36028797052547408, 'n': 94, 'trace_an': 0}
-
id: 141067036
{'hecke_orbit_code': 36028797052547408, 'n': 95, 'trace_an': 0}
-
id: 141067037
{'hecke_orbit_code': 36028797052547408, 'n': 96, 'trace_an': 0}
-
id: 141067038
{'hecke_orbit_code': 36028797052547408, 'n': 97, 'trace_an': 8}
-
id: 141067039
{'hecke_orbit_code': 36028797052547408, 'n': 98, 'trace_an': 0}
-
id: 141067040
{'hecke_orbit_code': 36028797052547408, 'n': 99, 'trace_an': 12}
-
id: 141067041
{'hecke_orbit_code': 36028797052547408, 'n': 100, 'trace_an': 0}