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mf_newforms • Show schema
Hide schema
{'Nk2': 49928, 'analytic_conductor': 99.66927180296217, 'atkin_lehner_eigenvals': [[2, -1], [79, -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': [12482, 1, [3], [25]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [16, 0, -13, 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': 25, 'hecke_orbit_code': 108086391090458818, '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': '12482.2.a.y', 'level': 12482, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 79], 'level_radical': 158, 'nf_label': '4.4.11025.1', 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '12482.2.a', 'trace_display': [4, -2, 0, -1], 'traces': [4, 4, -2, 4, 0, -2, -1, 4, -6, 0, -7, -2, -1, -1, 5, 4, -7, -6, -10, 0, 3, -7, 6, -2, 6, -1, 4, -1, 8, 5, -9, 4, 6, -7, 13, -6, -12, -10, -2, 0, 19, 3, -6, -7, -5, 6, 4, -2, 5, 6, 11, -1, 0, 4, 13, -1, 5, 8, 21, 5, 4, -9, -1, 4, -13, 6, 5, -7, -3, 13, 0, -6, -25, -12, -3, -10, -18, -2, 0, 0, -4, 19, -18, 3, -3, -6, -14, -7, 3, -5, 20, 6, 7, 4, 0, -2, -22, 5, 8, 6], 'weight': 2, 'weight_parity': 1}
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label 12482.2.a.y does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [123, 133, 143, 114], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [39, 40, 40, 40], 'ALdims_old': [238, 257, 237, 256], 'Nk2': 49928, 'analytic_conductor': 99.66927180296217, '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': [12482, 1, [3], [1]], 'conrey_index': 1, 'cusp_dim': 1501, 'dim': 513, 'eis_dim': 159, 'eis_new_dim': 0, 'hecke_orbit_code': 33566914, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 8, 12, 16, 16, 16, 24, 24, 24, 24, 24, 36, 36, 36, 36, 48, 64], 'label': '12482.2.a', 'level': 12482, '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, 79], 'level_radical': 158, 'mf_dim': 1660, 'mf_new_dim': 513, 'num_forms': 46, 'plus_dim': 237, 'prim_orbit_index': 1, 'relative_dim': 513, 'sturm_bound': 3160, 'trace_display': [1, 2, 6, -4], 'traces': [513, 1, 2, 513, 6, 2, -4, 1, 513, 2, 0, 2, 2, 4, -8, 513, -2, -3, 4, 6, -8, 8, 4, 2, 523, 6, 8, -4, -4, 0, 0, 1, 8, -2, 4, 513, 0, -4, -8, 2, 14, -4, 10, 0, 38, 12, 12, 2, 509, -1, 40, 2, 4, 8, -12, 4, -32, -4, -10, -8, -20, 0, -8, 513, -24, 0, -16, -2, -24, -28, 36, -3, -14, 16, 2, 4, 0, -32, 0, 6, 537, -2, -52, -8, 20, -22, 32, 8, 14, 6, -44, 4, -8, -12, -12, 2, -26, 17, 12, 523, 2, 0, -28, 6, 20, 28, -6, 8, -8, -20, -36, -4, -6, 32, 32, -4, 10, -26, -20, 0, 557, -28, 8, 0, -36, 56, 4, 1, -24, 4, 24, 8, -16, 0, -20, -2, 54, 0, -26, 4, 32, -20, 28, 513, 40, 26, 30, 0, -4, 18, 12, -4, -58, -24, -20, -8, 24, 0, -16, 2, 8, -23, -4, 14, 0, 12, -76, -4, 451, 12, -24, 10, -32, -56, 24, 0, -28, 18, -40, 38, 46, 20, 44, 12, -24, -80, 24, 12, -48, 12, 72, 2, 62, -6, -4, 509, -24, 12, 16, -1, -8, -10, 76, 40, 36, -20, -20, 2, 8, 24, -22, 4, -40, 10, -60, 8, 0, -24, -44, -12, -52, -68, 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source_label 12482.2.a.y does not appear in mf_twists_nf
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hecke_orbit_code 108086391090458818 does not appear in mf_hecke_charpolys
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label 12482.2.a.y does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 160677942
{'hecke_orbit_code': 108086391090458818, 'n': 1, 'trace_an': 4}
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id: 160677943
{'hecke_orbit_code': 108086391090458818, 'n': 2, 'trace_an': 4}
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id: 160677944
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id: 160677945
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id: 160677946
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id: 160677947
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id: 160677948
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id: 160677949
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id: 160677950
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id: 160677951
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id: 160677952
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id: 160677953
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id: 160677954
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-
id: 160677955
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id: 160677956
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id: 160677957
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id: 160677958
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id: 160677959
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id: 160677960
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id: 160677961
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id: 160677962
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id: 160677963
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id: 160677964
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id: 160677965
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id: 160677966
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id: 160677967
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id: 160677968
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id: 160677969
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id: 160677970
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id: 160677971
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id: 160677972
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id: 160677973
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id: 160677974
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id: 160677975
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id: 160677976
{'hecke_orbit_code': 108086391090458818, 'n': 35, 'trace_an': 13}
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id: 160677977
{'hecke_orbit_code': 108086391090458818, 'n': 36, 'trace_an': -6}
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id: 160677978
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id: 160677979
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id: 160677980
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id: 160677981
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id: 160677982
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id: 160677983
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id: 160677984
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id: 160677985
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id: 160677986
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id: 160677987
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id: 160677988
{'hecke_orbit_code': 108086391090458818, 'n': 47, 'trace_an': 4}
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id: 160677989
{'hecke_orbit_code': 108086391090458818, 'n': 48, 'trace_an': -2}
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id: 160677990
{'hecke_orbit_code': 108086391090458818, 'n': 49, 'trace_an': 5}
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id: 160677991
{'hecke_orbit_code': 108086391090458818, 'n': 50, 'trace_an': 6}
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id: 160677992
{'hecke_orbit_code': 108086391090458818, 'n': 51, 'trace_an': 11}
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id: 160677993
{'hecke_orbit_code': 108086391090458818, 'n': 52, 'trace_an': -1}
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id: 160677994
{'hecke_orbit_code': 108086391090458818, 'n': 53, 'trace_an': 0}
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id: 160677995
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id: 160677996
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id: 160677997
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id: 160677998
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id: 160677999
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id: 160678000
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id: 160678001
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id: 160678002
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id: 160678003
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id: 160678004
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id: 160678005
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id: 160678006
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id: 160678007
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id: 160678008
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id: 160678009
{'hecke_orbit_code': 108086391090458818, 'n': 68, 'trace_an': -7}
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id: 160678010
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-
id: 160678011
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id: 160678012
{'hecke_orbit_code': 108086391090458818, 'n': 71, 'trace_an': 0}
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id: 160678013
{'hecke_orbit_code': 108086391090458818, 'n': 72, 'trace_an': -6}
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id: 160678014
{'hecke_orbit_code': 108086391090458818, 'n': 73, 'trace_an': -25}
-
id: 160678015
{'hecke_orbit_code': 108086391090458818, 'n': 74, 'trace_an': -12}
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id: 160678016
{'hecke_orbit_code': 108086391090458818, 'n': 75, 'trace_an': -3}
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id: 160678017
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id: 160678018
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id: 160678019
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id: 160678020
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id: 160678021
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id: 160678022
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id: 160678023
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id: 160678024
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id: 160678025
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id: 160678026
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id: 160678027
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id: 160678028
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id: 160678029
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id: 160678030
{'hecke_orbit_code': 108086391090458818, 'n': 89, 'trace_an': 3}
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id: 160678031
{'hecke_orbit_code': 108086391090458818, 'n': 90, 'trace_an': -5}
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id: 160678032
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id: 160678033
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id: 160678034
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id: 160678035
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id: 160678036
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id: 160678037
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id: 160678038
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id: 160678039
{'hecke_orbit_code': 108086391090458818, 'n': 98, 'trace_an': 5}
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id: 160678040
{'hecke_orbit_code': 108086391090458818, 'n': 99, 'trace_an': 8}
-
id: 160678041
{'hecke_orbit_code': 108086391090458818, 'n': 100, 'trace_an': 6}