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mf_newforms • Show schema
Hide schema
{'Nk2': 176400, 'analytic_conductor': 352.1402729138465, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, -1], [7, 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': [44100, 1, [22051, 34301, 15877, 9901], [143, 143, 143, 143]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 4, 'field_disc_factorization': [[2, 2]], 'field_poly': [2, 2, -6, -2, 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': 143, 'hecke_orbit_code': 639511147120208964, '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': '44100.2.a.fm', 'level': 44100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '4.4.44496.1', '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': '44100.2.a', 'trace_display': [0, 0, 0, 0], 'traces': [4, 0, 0, 0, 0, 0, 0, 0, 0, 0, -4, 0, 2, 0, 0, 0, -2, 0, 4, 0, 0, 0, 6, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, -12, 0, -16, 0, 0, 0, 2, 0, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, 14, 0, 16, 0, 0, 0, 0, 0, -18, 0, 0, 0, 14, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 0, -10, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 44100.2.a.fm does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 32, 30, 29, 38, 44, 48, 52, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [47, 48, 48, 48, 48, 48, 48, 48, 24, 24, 24, 24, 24, 24, 24, 24], 'ALdims_old': [601, 612, 608, 604, 612, 600, 604, 608, 592, 582, 587, 582, 568, 576, 568, 565], 'Nk2': 176400, 'analytic_conductor': 352.1402729138465, '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': [44100, 1, [22051, 34301, 15877, 9901], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 9793, 'dim': 324, 'eis_dim': 575, 'eis_new_dim': 0, 'hecke_orbit_code': 33598532, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8], 'label': '44100.2.a', 'level': 44100, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'mf_dim': 10368, 'mf_new_dim': 324, 'num_forms': 166, 'plus_dim': 154, 'prim_orbit_index': 1, 'relative_dim': 324, 'sturm_bound': 20160, 'trace_display': [0, 0, 0, 0], 'traces': [324, 0, 0, 0, 0, 0, 0, 0, 0, 0, 2, 0, -4, 0, 0, 0, -2, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -10, 0, 18, 0, 0, 0, 2, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, 0, 0, 20, 0, 0, 0, 20, 0, -4, 0, 0, 0, 0, 0, 30, 0, 0, 0, 42, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 6, 0, 6, 0, 0, 0, -36, 0, -6, 0, 0, 0, -26, 0, 0, 0, 0, 0, 0, 0, 306, 0, 0, 0, 0, 0, 6, 0, 0, 0, 8, 0, 0, 0, 0, 0, -56, 0, 24, 0, 0, 0, 28, 0, 0, 0, 0, 0, 0, 0, 26, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 12, 0, 0, 0, -22, 0, 320, 0, 0, 0, -26, 0, 0, 0, 0, 0, -18, 0, 60, 0, 0, 0, 0, 0, 52, 0, 0, 0, 38, 0, -2, 0, 0, 0, -38, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 36, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -92, 0, -42, 0, 0, 0, -38, 0, 48, 0, 0, 0, -44, 0, 0, 0, 0, 0, -28, 0, 36, 0, 0, 0, 0, 0, -16, 0, 0, 0, -88, 0, 58, 0, 0, 0, 18, 0, 0, 0, 0, 0, 100, 0, 0, 0, 0, 0, -2, 0, -4, 0, 0, 0, 0, 0, -50, 0, 0, 0, 86, 0, -14, 0, 0, 0, 0, 0, 346, 0, 0, 0, 110, 0, 0, 0, 0, 0, -52, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -96, 0, 4, 0, 0, 0, 4, 0, 160, 0, 0, 0, -46, 0, 0, 0, 0, 0, 0, 0, -54, 0, 0, 0, 0, 0, -40, 0, 0, 0, 32, 0, 0, 0, 0, 0, -8, 0, 8, 0, 0, 0, 14, 0, 0, 0, 0, 0, 66, 0, 322, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 50, 0, 0, 0, -56, 0, 88, 0, 0, 0, -62, 0, 0, 0, 0, 0, 40, 0, 100, 0, 0, 0, 0, 0, -88, 0, 0, 0, 76, 0, -8, 0, 0, 0, 18, 0, 100, 0, 0, 0, 0, 0, 0, 0, 0, 0, -56, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, -90, 0, -24, 0, 0, 0, 32, 0, -68, 0, 0, 0, -112, 0, 0, 0, 0, 0, -18, 0, 68, 0, 0, 0, 0, 0, -78, 0, 0, 0, -82, 0, 102, 0, 0, 0, 2, 0, 0, 0, 0, 0, 76, 0, 0, 0, 0, 0, -40, 0, -84, 0, 0, 0, 0, 0, 92, 0, 0, 0, -128, 0, 40, 0, 0, 0, 0, 0, -38, 0, 0, 0, 166, 0, 0, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, -134, 0, 78, 0, 0, 0, -2, 0, 450, 0, 0, 0, -100, 0, 0, 0, 0, 0, 0, 0, -110, 0, 0, 0, 0, 0, -62, 0, 0, 0, 52, 0, 0, 0, 0, 0, -104, 0, 36, 0, 0, 0, 50, 0, 0, 0, 0, 0, 132, 0, -54, 0, 0, 0, 0, 0, 28, 0, 0, 0, 0, 0, 130, 0, 0, 0, -58, 0, 98, 0, 0, 0, -82, 0, 0, 0, 0, 0, -14, 0, 96, 0, 0, 0, 0, 0, -22, 0, 0, 0, 4, 0, -30, 0, 0, 0, -94, 0, -20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, -152, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, -54, 0, 0, 0, -90, 0, 12, 0, 0, 0, -100, 0, 0, 0, 0, 0, -48, 0, 92, 0, 0, 0, 0, 0, -108, 0, 0, 0, -168, 0, 84, 0, 0, 0, 54, 0, 0, 0, 0, 0, 108, 0, 0, 0, 0, 0, 28, 0, -124, 0, 0, 0, 0, 0, -68, 0, 0, 0, 82, 0, -80, 0, 0, 0, 0, 0, -106, 0, 0, 0, 256, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 48, 0, 44, 0, 0, 0, 190, 0, 50, 0, 0, 0, -218, 0, 0, 0, 0, 0, 0, 0, -198, 0, 0, 0, 0, 0, -136, 0, 0, 0, -18, 0, 0, 0, 0, 0, 100, 0, 96, 0, 0, 0, 30, 0, 0, 0, 0, 0, -204, 0, 104, 0, 0, 0, 0, 0, 70, 0, 0, 0, 0, 0, 8, 0, 0, 0, -138, 0, -138, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 196, 0, 0, 0, 0, 0, 136, 0, 0, 0, 192, 0, -24, 0, 0, 0, 26, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 328, 0, 0, 0, 0, 0, 0, 0, 0, 0, -214, 0, -140, 0, 0, 0, 58, 0, -12, 0, 0, 0, -172, 0, 0, 0, 0, 0, -266, 0, 20, 0, 0, 0, 0, 0, -142, 0, 0, 0, -186, 0, 158, 0, 0, 0, 14, 0, 0, 0, 0, 0, 142, 0, 0, 0, 0, 0, 8, 0, -28, 0, 0, 0, 0, 0, -124, 0, 0, 0, 432, 0, -16, 0, 0, 0, 0, 0, 82, 0, 0, 0, 264, 0, 0, 0, 0, 0, -126, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 170, 0, -60, 0, 0, 0, -96, 0, 92, 0, 0, 0, -102, 0, 0, 0, 0, 0, 0, 0, 390, 0, 0, 0, 0, 0, -190, 0, 0, 0, -36, 0, 0, 0, 0, 0, -284, 0, 36, 0, 0, 0, 142, 0, 0, 0, 0, 0, 116, 0, 386, 0, 0, 0, 0, 0, -120, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 44100.2.a.fm does not appear in mf_twists_nf
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hecke_orbit_code 639511147120208964 does not appear in mf_hecke_charpolys
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label 44100.2.a.fm does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 183609042
{'hecke_orbit_code': 639511147120208964, 'n': 1, 'trace_an': 4}
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id: 183609043
{'hecke_orbit_code': 639511147120208964, 'n': 2, 'trace_an': 0}
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id: 183609044
{'hecke_orbit_code': 639511147120208964, 'n': 3, 'trace_an': 0}
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id: 183609045
{'hecke_orbit_code': 639511147120208964, 'n': 4, 'trace_an': 0}
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id: 183609046
{'hecke_orbit_code': 639511147120208964, 'n': 5, 'trace_an': 0}
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id: 183609047
{'hecke_orbit_code': 639511147120208964, 'n': 6, 'trace_an': 0}
-
id: 183609048
{'hecke_orbit_code': 639511147120208964, 'n': 7, 'trace_an': 0}
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id: 183609049
{'hecke_orbit_code': 639511147120208964, 'n': 8, 'trace_an': 0}
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id: 183609050
{'hecke_orbit_code': 639511147120208964, 'n': 9, 'trace_an': 0}
-
id: 183609051
{'hecke_orbit_code': 639511147120208964, 'n': 10, 'trace_an': 0}
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id: 183609052
{'hecke_orbit_code': 639511147120208964, 'n': 11, 'trace_an': -4}
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id: 183609053
{'hecke_orbit_code': 639511147120208964, 'n': 12, 'trace_an': 0}
-
id: 183609054
{'hecke_orbit_code': 639511147120208964, 'n': 13, 'trace_an': 2}
-
id: 183609055
{'hecke_orbit_code': 639511147120208964, 'n': 14, 'trace_an': 0}
-
id: 183609056
{'hecke_orbit_code': 639511147120208964, 'n': 15, 'trace_an': 0}
-
id: 183609057
{'hecke_orbit_code': 639511147120208964, 'n': 16, 'trace_an': 0}
-
id: 183609058
{'hecke_orbit_code': 639511147120208964, 'n': 17, 'trace_an': -2}
-
id: 183609059
{'hecke_orbit_code': 639511147120208964, 'n': 18, 'trace_an': 0}
-
id: 183609060
{'hecke_orbit_code': 639511147120208964, 'n': 19, 'trace_an': 4}
-
id: 183609061
{'hecke_orbit_code': 639511147120208964, 'n': 20, 'trace_an': 0}
-
id: 183609062
{'hecke_orbit_code': 639511147120208964, 'n': 21, 'trace_an': 0}
-
id: 183609063
{'hecke_orbit_code': 639511147120208964, 'n': 22, 'trace_an': 0}
-
id: 183609064
{'hecke_orbit_code': 639511147120208964, 'n': 23, 'trace_an': 6}
-
id: 183609065
{'hecke_orbit_code': 639511147120208964, 'n': 24, 'trace_an': 0}
-
id: 183609066
{'hecke_orbit_code': 639511147120208964, 'n': 25, 'trace_an': 0}
-
id: 183609067
{'hecke_orbit_code': 639511147120208964, 'n': 26, 'trace_an': 0}
-
id: 183609068
{'hecke_orbit_code': 639511147120208964, 'n': 27, 'trace_an': 0}
-
id: 183609069
{'hecke_orbit_code': 639511147120208964, 'n': 28, 'trace_an': 0}
-
id: 183609070
{'hecke_orbit_code': 639511147120208964, 'n': 29, 'trace_an': 6}
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id: 183609071
{'hecke_orbit_code': 639511147120208964, 'n': 30, 'trace_an': 0}
-
id: 183609072
{'hecke_orbit_code': 639511147120208964, 'n': 31, 'trace_an': 0}
-
id: 183609073
{'hecke_orbit_code': 639511147120208964, 'n': 32, 'trace_an': 0}
-
id: 183609074
{'hecke_orbit_code': 639511147120208964, 'n': 33, 'trace_an': 0}
-
id: 183609075
{'hecke_orbit_code': 639511147120208964, 'n': 34, 'trace_an': 0}
-
id: 183609076
{'hecke_orbit_code': 639511147120208964, 'n': 35, 'trace_an': 0}
-
id: 183609077
{'hecke_orbit_code': 639511147120208964, 'n': 36, 'trace_an': 0}
-
id: 183609078
{'hecke_orbit_code': 639511147120208964, 'n': 37, 'trace_an': -4}
-
id: 183609079
{'hecke_orbit_code': 639511147120208964, 'n': 38, 'trace_an': 0}
-
id: 183609080
{'hecke_orbit_code': 639511147120208964, 'n': 39, 'trace_an': 0}
-
id: 183609081
{'hecke_orbit_code': 639511147120208964, 'n': 40, 'trace_an': 0}
-
id: 183609082
{'hecke_orbit_code': 639511147120208964, 'n': 41, 'trace_an': -12}
-
id: 183609083
{'hecke_orbit_code': 639511147120208964, 'n': 42, 'trace_an': 0}
-
id: 183609084
{'hecke_orbit_code': 639511147120208964, 'n': 43, 'trace_an': -16}
-
id: 183609085
{'hecke_orbit_code': 639511147120208964, 'n': 44, 'trace_an': 0}
-
id: 183609086
{'hecke_orbit_code': 639511147120208964, 'n': 45, 'trace_an': 0}
-
id: 183609087
{'hecke_orbit_code': 639511147120208964, 'n': 46, 'trace_an': 0}
-
id: 183609088
{'hecke_orbit_code': 639511147120208964, 'n': 47, 'trace_an': 2}
-
id: 183609089
{'hecke_orbit_code': 639511147120208964, 'n': 48, 'trace_an': 0}
-
id: 183609090
{'hecke_orbit_code': 639511147120208964, 'n': 49, 'trace_an': 0}
-
id: 183609091
{'hecke_orbit_code': 639511147120208964, 'n': 50, 'trace_an': 0}
-
id: 183609092
{'hecke_orbit_code': 639511147120208964, 'n': 51, 'trace_an': 0}
-
id: 183609093
{'hecke_orbit_code': 639511147120208964, 'n': 52, 'trace_an': 0}
-
id: 183609094
{'hecke_orbit_code': 639511147120208964, 'n': 53, 'trace_an': 20}
-
id: 183609095
{'hecke_orbit_code': 639511147120208964, 'n': 54, 'trace_an': 0}
-
id: 183609096
{'hecke_orbit_code': 639511147120208964, 'n': 55, 'trace_an': 0}
-
id: 183609097
{'hecke_orbit_code': 639511147120208964, 'n': 56, 'trace_an': 0}
-
id: 183609098
{'hecke_orbit_code': 639511147120208964, 'n': 57, 'trace_an': 0}
-
id: 183609099
{'hecke_orbit_code': 639511147120208964, 'n': 58, 'trace_an': 0}
-
id: 183609100
{'hecke_orbit_code': 639511147120208964, 'n': 59, 'trace_an': 14}
-
id: 183609101
{'hecke_orbit_code': 639511147120208964, 'n': 60, 'trace_an': 0}
-
id: 183609102
{'hecke_orbit_code': 639511147120208964, 'n': 61, 'trace_an': 16}
-
id: 183609103
{'hecke_orbit_code': 639511147120208964, 'n': 62, 'trace_an': 0}
-
id: 183609104
{'hecke_orbit_code': 639511147120208964, 'n': 63, 'trace_an': 0}
-
id: 183609105
{'hecke_orbit_code': 639511147120208964, 'n': 64, 'trace_an': 0}
-
id: 183609106
{'hecke_orbit_code': 639511147120208964, 'n': 65, 'trace_an': 0}
-
id: 183609107
{'hecke_orbit_code': 639511147120208964, 'n': 66, 'trace_an': 0}
-
id: 183609108
{'hecke_orbit_code': 639511147120208964, 'n': 67, 'trace_an': -18}
-
id: 183609109
{'hecke_orbit_code': 639511147120208964, 'n': 68, 'trace_an': 0}
-
id: 183609110
{'hecke_orbit_code': 639511147120208964, 'n': 69, 'trace_an': 0}
-
id: 183609111
{'hecke_orbit_code': 639511147120208964, 'n': 70, 'trace_an': 0}
-
id: 183609112
{'hecke_orbit_code': 639511147120208964, 'n': 71, 'trace_an': 14}
-
id: 183609113
{'hecke_orbit_code': 639511147120208964, 'n': 72, 'trace_an': 0}
-
id: 183609114
{'hecke_orbit_code': 639511147120208964, 'n': 73, 'trace_an': 8}
-
id: 183609115
{'hecke_orbit_code': 639511147120208964, 'n': 74, 'trace_an': 0}
-
id: 183609116
{'hecke_orbit_code': 639511147120208964, 'n': 75, 'trace_an': 0}
-
id: 183609117
{'hecke_orbit_code': 639511147120208964, 'n': 76, 'trace_an': 0}
-
id: 183609118
{'hecke_orbit_code': 639511147120208964, 'n': 77, 'trace_an': 0}
-
id: 183609119
{'hecke_orbit_code': 639511147120208964, 'n': 78, 'trace_an': 0}
-
id: 183609120
{'hecke_orbit_code': 639511147120208964, 'n': 79, 'trace_an': -8}
-
id: 183609121
{'hecke_orbit_code': 639511147120208964, 'n': 80, 'trace_an': 0}
-
id: 183609122
{'hecke_orbit_code': 639511147120208964, 'n': 81, 'trace_an': 0}
-
id: 183609123
{'hecke_orbit_code': 639511147120208964, 'n': 82, 'trace_an': 0}
-
id: 183609124
{'hecke_orbit_code': 639511147120208964, 'n': 83, 'trace_an': -10}
-
id: 183609125
{'hecke_orbit_code': 639511147120208964, 'n': 84, 'trace_an': 0}
-
id: 183609126
{'hecke_orbit_code': 639511147120208964, 'n': 85, 'trace_an': 0}
-
id: 183609127
{'hecke_orbit_code': 639511147120208964, 'n': 86, 'trace_an': 0}
-
id: 183609128
{'hecke_orbit_code': 639511147120208964, 'n': 87, 'trace_an': 0}
-
id: 183609129
{'hecke_orbit_code': 639511147120208964, 'n': 88, 'trace_an': 0}
-
id: 183609130
{'hecke_orbit_code': 639511147120208964, 'n': 89, 'trace_an': 8}
-
id: 183609131
{'hecke_orbit_code': 639511147120208964, 'n': 90, 'trace_an': 0}
-
id: 183609132
{'hecke_orbit_code': 639511147120208964, 'n': 91, 'trace_an': 0}
-
id: 183609133
{'hecke_orbit_code': 639511147120208964, 'n': 92, 'trace_an': 0}
-
id: 183609134
{'hecke_orbit_code': 639511147120208964, 'n': 93, 'trace_an': 0}
-
id: 183609135
{'hecke_orbit_code': 639511147120208964, 'n': 94, 'trace_an': 0}
-
id: 183609136
{'hecke_orbit_code': 639511147120208964, 'n': 95, 'trace_an': 0}
-
id: 183609137
{'hecke_orbit_code': 639511147120208964, 'n': 96, 'trace_an': 0}
-
id: 183609138
{'hecke_orbit_code': 639511147120208964, 'n': 97, 'trace_an': 10}
-
id: 183609139
{'hecke_orbit_code': 639511147120208964, 'n': 98, 'trace_an': 0}
-
id: 183609140
{'hecke_orbit_code': 639511147120208964, 'n': 99, 'trace_an': 0}
-
id: 183609141
{'hecke_orbit_code': 639511147120208964, 'n': 100, 'trace_an': 0}