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mf_newforms • Show schema
Hide schema
{'Nk2': 134400, 'analytic_conductor': 268.2973507915021, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [7, 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': [33600, 1, [28351, 10501, 11201, 5377, 28801], [64, 64, 64, 64, 64]], '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': 64, 'hecke_orbit_code': 283726776557929280, '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': '33600.2.a.cl', 'level': 33600, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 7], 'level_radical': 210, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{7}+q^{9}+6q^{11}+2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/33600/cl'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '33600.2.a', 'trace_display': [0, -1, 0, -1], 'traces': [1, 0, -1, 0, 0, 0, -1, 0, 1, 0, 6, 0, 2, 0, 0, 0, 4, 0, 6, 0, 1, 0, 0, 0, 0, 0, -1, 0, 2, 0, -10, 0, -6, 0, 0, 0, 4, 0, -2, 0, 2, 0, 4, 0, 0, 0, 0, 0, 1, 0, -4, 0, -6, 0, 0, 0, -6, 0, 8, 0, 2, 0, -1, 0, 0, 0, 16, 0, 0, 0, 10, 0, -6, 0, 0, 0, -6, 0, 4, 0, 1, 0, -8, 0, 0, 0, -2, 0, 6, 0, -2, 0, 10, 0, 0, 0, -2, 0, 6, 0], 'weight': 2, 'weight_parity': 1}
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label 33600.2.a.cl does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [27, 26, 32, 30, 29, 24, 28, 34, 27, 28, 28, 30, 25, 30, 32, 26], 'Nk2': 134400, 'analytic_conductor': 268.2973507915021, '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': [33600, 1, [28351, 10501, 11201, 5377, 28801], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 7537, 'dim': 456, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33588032, 'label': '33600.2.a', 'level': 33600, '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, 3, 5, 7], 'level_radical': 210, 'mf_dim': 7824, 'mf_new_dim': 456, 'plus_dim': 216, 'prim_orbit_index': 1, 'relative_dim': 456, 'sturm_bound': 15360, 'trace_display': [0, 0, 0, 0], 'traces': [456, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 424, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 440, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -16, 0, 0, 0, -64, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 80, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, -144, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 536, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -240, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 16, 0, 0, 0, -256, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 552, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 208, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 272, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 48, 0, 0, 0, -256, 0, 0, 0, 456, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 256, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, -272, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, -32, 0, 0, 0, 80, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -96, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 80, 0, 0, 0, -64, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -400, 0, 0, 0, 80, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -208, 0, 0, 0, 16, 0, 0, 0, -224, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 16, 0, 0, 0, 96, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 128, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 456, 0, 0, 0, 288, 0, 0, 0, -224, 0, 0, 0, 128, 0, 0, 0, 0, 0, 0, 0, 208, 0, 0, 0, 32, 0, 0, 0, -16, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, -320, 0, 0, 0, -32, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 224, 0, 0, 0, -32, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 632, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, 320, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 672, 0, 0, 0, -16, 0, 0, 0, 112, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 304, 0, 0, 0, -96, 0, 0, 0, 144, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 80, 0, 0, 0, 320, 0, 0, 0, 520, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, -96, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 704, 0, 0, 0, 64, 0, 0, 0, 224, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 33600.2.a.cl does not appear in mf_twists_nf
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hecke_orbit_code 283726776557929280 does not appear in mf_hecke_charpolys
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label 33600.2.a.cl does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 176658642
{'hecke_orbit_code': 283726776557929280, 'n': 1, 'trace_an': 1}
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id: 176658643
{'hecke_orbit_code': 283726776557929280, 'n': 2, 'trace_an': 0}
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id: 176658644
{'hecke_orbit_code': 283726776557929280, 'n': 3, 'trace_an': -1}
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id: 176658645
{'hecke_orbit_code': 283726776557929280, 'n': 4, 'trace_an': 0}
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id: 176658646
{'hecke_orbit_code': 283726776557929280, 'n': 5, 'trace_an': 0}
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id: 176658647
{'hecke_orbit_code': 283726776557929280, 'n': 6, 'trace_an': 0}
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id: 176658648
{'hecke_orbit_code': 283726776557929280, 'n': 7, 'trace_an': -1}
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id: 176658649
{'hecke_orbit_code': 283726776557929280, 'n': 8, 'trace_an': 0}
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id: 176658650
{'hecke_orbit_code': 283726776557929280, 'n': 9, 'trace_an': 1}
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id: 176658651
{'hecke_orbit_code': 283726776557929280, 'n': 10, 'trace_an': 0}
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id: 176658652
{'hecke_orbit_code': 283726776557929280, 'n': 11, 'trace_an': 6}
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id: 176658653
{'hecke_orbit_code': 283726776557929280, 'n': 12, 'trace_an': 0}
-
id: 176658654
{'hecke_orbit_code': 283726776557929280, 'n': 13, 'trace_an': 2}
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id: 176658655
{'hecke_orbit_code': 283726776557929280, 'n': 14, 'trace_an': 0}
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id: 176658656
{'hecke_orbit_code': 283726776557929280, 'n': 15, 'trace_an': 0}
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id: 176658657
{'hecke_orbit_code': 283726776557929280, 'n': 16, 'trace_an': 0}
-
id: 176658658
{'hecke_orbit_code': 283726776557929280, 'n': 17, 'trace_an': 4}
-
id: 176658659
{'hecke_orbit_code': 283726776557929280, 'n': 18, 'trace_an': 0}
-
id: 176658660
{'hecke_orbit_code': 283726776557929280, 'n': 19, 'trace_an': 6}
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id: 176658661
{'hecke_orbit_code': 283726776557929280, 'n': 20, 'trace_an': 0}
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id: 176658662
{'hecke_orbit_code': 283726776557929280, 'n': 21, 'trace_an': 1}
-
id: 176658663
{'hecke_orbit_code': 283726776557929280, 'n': 22, 'trace_an': 0}
-
id: 176658664
{'hecke_orbit_code': 283726776557929280, 'n': 23, 'trace_an': 0}
-
id: 176658665
{'hecke_orbit_code': 283726776557929280, 'n': 24, 'trace_an': 0}
-
id: 176658666
{'hecke_orbit_code': 283726776557929280, 'n': 25, 'trace_an': 0}
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id: 176658667
{'hecke_orbit_code': 283726776557929280, 'n': 26, 'trace_an': 0}
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id: 176658668
{'hecke_orbit_code': 283726776557929280, 'n': 27, 'trace_an': -1}
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id: 176658669
{'hecke_orbit_code': 283726776557929280, 'n': 28, 'trace_an': 0}
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id: 176658670
{'hecke_orbit_code': 283726776557929280, 'n': 29, 'trace_an': 2}
-
id: 176658671
{'hecke_orbit_code': 283726776557929280, 'n': 30, 'trace_an': 0}
-
id: 176658672
{'hecke_orbit_code': 283726776557929280, 'n': 31, 'trace_an': -10}
-
id: 176658673
{'hecke_orbit_code': 283726776557929280, 'n': 32, 'trace_an': 0}
-
id: 176658674
{'hecke_orbit_code': 283726776557929280, 'n': 33, 'trace_an': -6}
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id: 176658675
{'hecke_orbit_code': 283726776557929280, 'n': 34, 'trace_an': 0}
-
id: 176658676
{'hecke_orbit_code': 283726776557929280, 'n': 35, 'trace_an': 0}
-
id: 176658677
{'hecke_orbit_code': 283726776557929280, 'n': 36, 'trace_an': 0}
-
id: 176658678
{'hecke_orbit_code': 283726776557929280, 'n': 37, 'trace_an': 4}
-
id: 176658679
{'hecke_orbit_code': 283726776557929280, 'n': 38, 'trace_an': 0}
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id: 176658680
{'hecke_orbit_code': 283726776557929280, 'n': 39, 'trace_an': -2}
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id: 176658681
{'hecke_orbit_code': 283726776557929280, 'n': 40, 'trace_an': 0}
-
id: 176658682
{'hecke_orbit_code': 283726776557929280, 'n': 41, 'trace_an': 2}
-
id: 176658683
{'hecke_orbit_code': 283726776557929280, 'n': 42, 'trace_an': 0}
-
id: 176658684
{'hecke_orbit_code': 283726776557929280, 'n': 43, 'trace_an': 4}
-
id: 176658685
{'hecke_orbit_code': 283726776557929280, 'n': 44, 'trace_an': 0}
-
id: 176658686
{'hecke_orbit_code': 283726776557929280, 'n': 45, 'trace_an': 0}
-
id: 176658687
{'hecke_orbit_code': 283726776557929280, 'n': 46, 'trace_an': 0}
-
id: 176658688
{'hecke_orbit_code': 283726776557929280, 'n': 47, 'trace_an': 0}
-
id: 176658689
{'hecke_orbit_code': 283726776557929280, 'n': 48, 'trace_an': 0}
-
id: 176658690
{'hecke_orbit_code': 283726776557929280, 'n': 49, 'trace_an': 1}
-
id: 176658691
{'hecke_orbit_code': 283726776557929280, 'n': 50, 'trace_an': 0}
-
id: 176658692
{'hecke_orbit_code': 283726776557929280, 'n': 51, 'trace_an': -4}
-
id: 176658693
{'hecke_orbit_code': 283726776557929280, 'n': 52, 'trace_an': 0}
-
id: 176658694
{'hecke_orbit_code': 283726776557929280, 'n': 53, 'trace_an': -6}
-
id: 176658695
{'hecke_orbit_code': 283726776557929280, 'n': 54, 'trace_an': 0}
-
id: 176658696
{'hecke_orbit_code': 283726776557929280, 'n': 55, 'trace_an': 0}
-
id: 176658697
{'hecke_orbit_code': 283726776557929280, 'n': 56, 'trace_an': 0}
-
id: 176658698
{'hecke_orbit_code': 283726776557929280, 'n': 57, 'trace_an': -6}
-
id: 176658699
{'hecke_orbit_code': 283726776557929280, 'n': 58, 'trace_an': 0}
-
id: 176658700
{'hecke_orbit_code': 283726776557929280, 'n': 59, 'trace_an': 8}
-
id: 176658701
{'hecke_orbit_code': 283726776557929280, 'n': 60, 'trace_an': 0}
-
id: 176658702
{'hecke_orbit_code': 283726776557929280, 'n': 61, 'trace_an': 2}
-
id: 176658703
{'hecke_orbit_code': 283726776557929280, 'n': 62, 'trace_an': 0}
-
id: 176658704
{'hecke_orbit_code': 283726776557929280, 'n': 63, 'trace_an': -1}
-
id: 176658705
{'hecke_orbit_code': 283726776557929280, 'n': 64, 'trace_an': 0}
-
id: 176658706
{'hecke_orbit_code': 283726776557929280, 'n': 65, 'trace_an': 0}
-
id: 176658707
{'hecke_orbit_code': 283726776557929280, 'n': 66, 'trace_an': 0}
-
id: 176658708
{'hecke_orbit_code': 283726776557929280, 'n': 67, 'trace_an': 16}
-
id: 176658709
{'hecke_orbit_code': 283726776557929280, 'n': 68, 'trace_an': 0}
-
id: 176658710
{'hecke_orbit_code': 283726776557929280, 'n': 69, 'trace_an': 0}
-
id: 176658711
{'hecke_orbit_code': 283726776557929280, 'n': 70, 'trace_an': 0}
-
id: 176658712
{'hecke_orbit_code': 283726776557929280, 'n': 71, 'trace_an': 10}
-
id: 176658713
{'hecke_orbit_code': 283726776557929280, 'n': 72, 'trace_an': 0}
-
id: 176658714
{'hecke_orbit_code': 283726776557929280, 'n': 73, 'trace_an': -6}
-
id: 176658715
{'hecke_orbit_code': 283726776557929280, 'n': 74, 'trace_an': 0}
-
id: 176658716
{'hecke_orbit_code': 283726776557929280, 'n': 75, 'trace_an': 0}
-
id: 176658717
{'hecke_orbit_code': 283726776557929280, 'n': 76, 'trace_an': 0}
-
id: 176658718
{'hecke_orbit_code': 283726776557929280, 'n': 77, 'trace_an': -6}
-
id: 176658719
{'hecke_orbit_code': 283726776557929280, 'n': 78, 'trace_an': 0}
-
id: 176658720
{'hecke_orbit_code': 283726776557929280, 'n': 79, 'trace_an': 4}
-
id: 176658721
{'hecke_orbit_code': 283726776557929280, 'n': 80, 'trace_an': 0}
-
id: 176658722
{'hecke_orbit_code': 283726776557929280, 'n': 81, 'trace_an': 1}
-
id: 176658723
{'hecke_orbit_code': 283726776557929280, 'n': 82, 'trace_an': 0}
-
id: 176658724
{'hecke_orbit_code': 283726776557929280, 'n': 83, 'trace_an': -8}
-
id: 176658725
{'hecke_orbit_code': 283726776557929280, 'n': 84, 'trace_an': 0}
-
id: 176658726
{'hecke_orbit_code': 283726776557929280, 'n': 85, 'trace_an': 0}
-
id: 176658727
{'hecke_orbit_code': 283726776557929280, 'n': 86, 'trace_an': 0}
-
id: 176658728
{'hecke_orbit_code': 283726776557929280, 'n': 87, 'trace_an': -2}
-
id: 176658729
{'hecke_orbit_code': 283726776557929280, 'n': 88, 'trace_an': 0}
-
id: 176658730
{'hecke_orbit_code': 283726776557929280, 'n': 89, 'trace_an': 6}
-
id: 176658731
{'hecke_orbit_code': 283726776557929280, 'n': 90, 'trace_an': 0}
-
id: 176658732
{'hecke_orbit_code': 283726776557929280, 'n': 91, 'trace_an': -2}
-
id: 176658733
{'hecke_orbit_code': 283726776557929280, 'n': 92, 'trace_an': 0}
-
id: 176658734
{'hecke_orbit_code': 283726776557929280, 'n': 93, 'trace_an': 10}
-
id: 176658735
{'hecke_orbit_code': 283726776557929280, 'n': 94, 'trace_an': 0}
-
id: 176658736
{'hecke_orbit_code': 283726776557929280, 'n': 95, 'trace_an': 0}
-
id: 176658737
{'hecke_orbit_code': 283726776557929280, 'n': 96, 'trace_an': 0}
-
id: 176658738
{'hecke_orbit_code': 283726776557929280, 'n': 97, 'trace_an': -2}
-
id: 176658739
{'hecke_orbit_code': 283726776557929280, 'n': 98, 'trace_an': 0}
-
id: 176658740
{'hecke_orbit_code': 283726776557929280, 'n': 99, 'trace_an': 6}
-
id: 176658741
{'hecke_orbit_code': 283726776557929280, 'n': 100, 'trace_an': 0}