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mf_newforms • Show schema
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{'Nk2': 57600, 'analytic_conductor': 114.98457891064375, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 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': [14400, 1, [13951, 901, 6401, 577], [138, 138, 138, 138]], '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': 138, 'hecke_orbit_code': 616993148983326784, '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': '14400.2.a.fh', 'level': 14400, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+5q^{7}-6q^{11}-3q^{13}-2q^{17}-q^{19}+\\cdots', 'related_objects': ['EllipticCurve/Q/14400/fh'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '14400.2.a', 'trace_display': [0, 0, 0, 5], 'traces': [1, 0, 0, 0, 0, 0, 5, 0, 0, 0, -6, 0, -3, 0, 0, 0, -2, 0, -1, 0, 0, 0, -2, 0, 0, 0, 0, 0, 6, 0, 3, 0, 0, 0, 0, 0, -6, 0, 0, 0, -4, 0, 11, 0, 0, 0, -10, 0, 18, 0, 0, 0, 8, 0, 0, 0, 0, 0, -6, 0, -3, 0, 0, 0, 0, 0, -1, 0, 0, 0, 12, 0, -10, 0, 0, 0, -30, 0, -8, 0, 0, 0, 6, 0, 0, 0, 0, 0, 16, 0, -15, 0, 0, 0, 0, 0, 7, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 14400.2.a.fh does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [17, 22, 27, 28, 19, 18, 26, 30], 'ALdims_eis_new': [0, 0, 1, 2, 0, 0, 1, 2], 'ALdims_eis_old': [35, 36, 35, 34, 36, 36, 35, 34], 'ALdims_old': [320, 322, 321, 312, 329, 322, 310, 314], 'Nk2': 57600, 'analytic_conductor': 114.98457891064375, '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': [14400, 1, [13951, 901, 6401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2737, 'dim': 187, 'eis_dim': 287, 'eis_new_dim': 6, 'hecke_orbit_code': 33568832, '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, 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, 4, 4], 'label': '14400.2.a', 'level': 14400, '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], 'level_radical': 30, 'mf_dim': 3024, 'mf_new_dim': 193, 'num_forms': 162, 'plus_dim': 89, 'prim_orbit_index': 1, 'relative_dim': 187, 'sturm_bound': 5760, 'trace_display': [0, 0, 0, 0], 'traces': [187, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 171, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 6, 0, 0, 0, -22, 0, 0, 0, 0, 0, 0, 0, 151, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -62, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 133, 0, 0, 0, -70, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -30, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, -82, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, -42, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 0, 26, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -118, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, -38, 0, 0, 0, 0, 0, 0, 0, 153, 0, 0, 0, -14, 0, 0, 0, 0, 0, 0, 0, 104, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, -150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 22, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 159, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 68, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -58, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 246, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 14, 0, 0, 0, 112, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 90, 0, 0, 0, 0, 0, 0, 0, 38, 0, 0, 0, 50, 0, 0, 0, 0, 0, 0, 0, 200, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, 170, 0, 0, 0, 0, 0, 0, 0, 59, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 46, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 250, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 18, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 74, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -228, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 82, 0, 0, 0, 0, 0, 0, 0, 16, 0, 0, 0, -54, 0, 0, 0, 0, 0, 0, 0, 150, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -130, 0, 0, 0, -110, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 140, 0, 0, 0, 0, 0, 0, 0, 28, 0, 0, 0, 98, 0, 0, 0, 0, 0, 0, 0, 78, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -26, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 0, 0, 0, 0, 62, 0, 0, 0, 122, 0, 0, 0, 0, 0, 0, 0, -34, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -326, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -94, 0, 0, 0, 0, 0, 0, 0, 80, 0, 0, 0, 186, 0, 0, 0, 0, 0, 0, 0, -106, 0, 0, 0, -86, 0, 0, 0, 0, 0, 0, 0, 77, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 174, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 336, 0, 0, 0, 0, 0, 0, 0, -106, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -112, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 58, 0, 0, 0, 0, 0, 0, 0, 118, 0, 0, 0, 66, 0, 0, 0, 0, 0, 0, 0, 244, 0, 0, 0, 34, 0, 0, 0, 0, 0, 0, 0, 27, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 48, 0, 0, 0, -6, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 392, 0, 0, 0, 0, 0, 0, 0, 94, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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source_label 14400.2.a.fh does not appear in mf_twists_nf
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hecke_orbit_code 616993148983326784 does not appear in mf_hecke_charpolys
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label 14400.2.a.fh does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 183425842
{'hecke_orbit_code': 616993148983326784, 'n': 1, 'trace_an': 1}
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id: 183425843
{'hecke_orbit_code': 616993148983326784, 'n': 2, 'trace_an': 0}
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id: 183425844
{'hecke_orbit_code': 616993148983326784, 'n': 3, 'trace_an': 0}
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id: 183425845
{'hecke_orbit_code': 616993148983326784, 'n': 4, 'trace_an': 0}
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id: 183425846
{'hecke_orbit_code': 616993148983326784, 'n': 5, 'trace_an': 0}
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id: 183425847
{'hecke_orbit_code': 616993148983326784, 'n': 6, 'trace_an': 0}
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id: 183425848
{'hecke_orbit_code': 616993148983326784, 'n': 7, 'trace_an': 5}
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id: 183425849
{'hecke_orbit_code': 616993148983326784, 'n': 8, 'trace_an': 0}
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id: 183425850
{'hecke_orbit_code': 616993148983326784, 'n': 9, 'trace_an': 0}
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id: 183425851
{'hecke_orbit_code': 616993148983326784, 'n': 10, 'trace_an': 0}
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id: 183425852
{'hecke_orbit_code': 616993148983326784, 'n': 11, 'trace_an': -6}
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id: 183425853
{'hecke_orbit_code': 616993148983326784, 'n': 12, 'trace_an': 0}
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id: 183425854
{'hecke_orbit_code': 616993148983326784, 'n': 13, 'trace_an': -3}
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id: 183425855
{'hecke_orbit_code': 616993148983326784, 'n': 14, 'trace_an': 0}
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id: 183425856
{'hecke_orbit_code': 616993148983326784, 'n': 15, 'trace_an': 0}
-
id: 183425857
{'hecke_orbit_code': 616993148983326784, 'n': 16, 'trace_an': 0}
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id: 183425858
{'hecke_orbit_code': 616993148983326784, 'n': 17, 'trace_an': -2}
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id: 183425859
{'hecke_orbit_code': 616993148983326784, 'n': 18, 'trace_an': 0}
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id: 183425860
{'hecke_orbit_code': 616993148983326784, 'n': 19, 'trace_an': -1}
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id: 183425861
{'hecke_orbit_code': 616993148983326784, 'n': 20, 'trace_an': 0}
-
id: 183425862
{'hecke_orbit_code': 616993148983326784, 'n': 21, 'trace_an': 0}
-
id: 183425863
{'hecke_orbit_code': 616993148983326784, 'n': 22, 'trace_an': 0}
-
id: 183425864
{'hecke_orbit_code': 616993148983326784, 'n': 23, 'trace_an': -2}
-
id: 183425865
{'hecke_orbit_code': 616993148983326784, 'n': 24, 'trace_an': 0}
-
id: 183425866
{'hecke_orbit_code': 616993148983326784, 'n': 25, 'trace_an': 0}
-
id: 183425867
{'hecke_orbit_code': 616993148983326784, 'n': 26, 'trace_an': 0}
-
id: 183425868
{'hecke_orbit_code': 616993148983326784, 'n': 27, 'trace_an': 0}
-
id: 183425869
{'hecke_orbit_code': 616993148983326784, 'n': 28, 'trace_an': 0}
-
id: 183425870
{'hecke_orbit_code': 616993148983326784, 'n': 29, 'trace_an': 6}
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id: 183425871
{'hecke_orbit_code': 616993148983326784, 'n': 30, 'trace_an': 0}
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id: 183425872
{'hecke_orbit_code': 616993148983326784, 'n': 31, 'trace_an': 3}
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id: 183425873
{'hecke_orbit_code': 616993148983326784, 'n': 32, 'trace_an': 0}
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id: 183425874
{'hecke_orbit_code': 616993148983326784, 'n': 33, 'trace_an': 0}
-
id: 183425875
{'hecke_orbit_code': 616993148983326784, 'n': 34, 'trace_an': 0}
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id: 183425876
{'hecke_orbit_code': 616993148983326784, 'n': 35, 'trace_an': 0}
-
id: 183425877
{'hecke_orbit_code': 616993148983326784, 'n': 36, 'trace_an': 0}
-
id: 183425878
{'hecke_orbit_code': 616993148983326784, 'n': 37, 'trace_an': -6}
-
id: 183425879
{'hecke_orbit_code': 616993148983326784, 'n': 38, 'trace_an': 0}
-
id: 183425880
{'hecke_orbit_code': 616993148983326784, 'n': 39, 'trace_an': 0}
-
id: 183425881
{'hecke_orbit_code': 616993148983326784, 'n': 40, 'trace_an': 0}
-
id: 183425882
{'hecke_orbit_code': 616993148983326784, 'n': 41, 'trace_an': -4}
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id: 183425883
{'hecke_orbit_code': 616993148983326784, 'n': 42, 'trace_an': 0}
-
id: 183425884
{'hecke_orbit_code': 616993148983326784, 'n': 43, 'trace_an': 11}
-
id: 183425885
{'hecke_orbit_code': 616993148983326784, 'n': 44, 'trace_an': 0}
-
id: 183425886
{'hecke_orbit_code': 616993148983326784, 'n': 45, 'trace_an': 0}
-
id: 183425887
{'hecke_orbit_code': 616993148983326784, 'n': 46, 'trace_an': 0}
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id: 183425888
{'hecke_orbit_code': 616993148983326784, 'n': 47, 'trace_an': -10}
-
id: 183425889
{'hecke_orbit_code': 616993148983326784, 'n': 48, 'trace_an': 0}
-
id: 183425890
{'hecke_orbit_code': 616993148983326784, 'n': 49, 'trace_an': 18}
-
id: 183425891
{'hecke_orbit_code': 616993148983326784, 'n': 50, 'trace_an': 0}
-
id: 183425892
{'hecke_orbit_code': 616993148983326784, 'n': 51, 'trace_an': 0}
-
id: 183425893
{'hecke_orbit_code': 616993148983326784, 'n': 52, 'trace_an': 0}
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id: 183425894
{'hecke_orbit_code': 616993148983326784, 'n': 53, 'trace_an': 8}
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id: 183425895
{'hecke_orbit_code': 616993148983326784, 'n': 54, 'trace_an': 0}
-
id: 183425896
{'hecke_orbit_code': 616993148983326784, 'n': 55, 'trace_an': 0}
-
id: 183425897
{'hecke_orbit_code': 616993148983326784, 'n': 56, 'trace_an': 0}
-
id: 183425898
{'hecke_orbit_code': 616993148983326784, 'n': 57, 'trace_an': 0}
-
id: 183425899
{'hecke_orbit_code': 616993148983326784, 'n': 58, 'trace_an': 0}
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id: 183425900
{'hecke_orbit_code': 616993148983326784, 'n': 59, 'trace_an': -6}
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id: 183425901
{'hecke_orbit_code': 616993148983326784, 'n': 60, 'trace_an': 0}
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id: 183425902
{'hecke_orbit_code': 616993148983326784, 'n': 61, 'trace_an': -3}
-
id: 183425903
{'hecke_orbit_code': 616993148983326784, 'n': 62, 'trace_an': 0}
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id: 183425904
{'hecke_orbit_code': 616993148983326784, 'n': 63, 'trace_an': 0}
-
id: 183425905
{'hecke_orbit_code': 616993148983326784, 'n': 64, 'trace_an': 0}
-
id: 183425906
{'hecke_orbit_code': 616993148983326784, 'n': 65, 'trace_an': 0}
-
id: 183425907
{'hecke_orbit_code': 616993148983326784, 'n': 66, 'trace_an': 0}
-
id: 183425908
{'hecke_orbit_code': 616993148983326784, 'n': 67, 'trace_an': -1}
-
id: 183425909
{'hecke_orbit_code': 616993148983326784, 'n': 68, 'trace_an': 0}
-
id: 183425910
{'hecke_orbit_code': 616993148983326784, 'n': 69, 'trace_an': 0}
-
id: 183425911
{'hecke_orbit_code': 616993148983326784, 'n': 70, 'trace_an': 0}
-
id: 183425912
{'hecke_orbit_code': 616993148983326784, 'n': 71, 'trace_an': 12}
-
id: 183425913
{'hecke_orbit_code': 616993148983326784, 'n': 72, 'trace_an': 0}
-
id: 183425914
{'hecke_orbit_code': 616993148983326784, 'n': 73, 'trace_an': -10}
-
id: 183425915
{'hecke_orbit_code': 616993148983326784, 'n': 74, 'trace_an': 0}
-
id: 183425916
{'hecke_orbit_code': 616993148983326784, 'n': 75, 'trace_an': 0}
-
id: 183425917
{'hecke_orbit_code': 616993148983326784, 'n': 76, 'trace_an': 0}
-
id: 183425918
{'hecke_orbit_code': 616993148983326784, 'n': 77, 'trace_an': -30}
-
id: 183425919
{'hecke_orbit_code': 616993148983326784, 'n': 78, 'trace_an': 0}
-
id: 183425920
{'hecke_orbit_code': 616993148983326784, 'n': 79, 'trace_an': -8}
-
id: 183425921
{'hecke_orbit_code': 616993148983326784, 'n': 80, 'trace_an': 0}
-
id: 183425922
{'hecke_orbit_code': 616993148983326784, 'n': 81, 'trace_an': 0}
-
id: 183425923
{'hecke_orbit_code': 616993148983326784, 'n': 82, 'trace_an': 0}
-
id: 183425924
{'hecke_orbit_code': 616993148983326784, 'n': 83, 'trace_an': 6}
-
id: 183425925
{'hecke_orbit_code': 616993148983326784, 'n': 84, 'trace_an': 0}
-
id: 183425926
{'hecke_orbit_code': 616993148983326784, 'n': 85, 'trace_an': 0}
-
id: 183425927
{'hecke_orbit_code': 616993148983326784, 'n': 86, 'trace_an': 0}
-
id: 183425928
{'hecke_orbit_code': 616993148983326784, 'n': 87, 'trace_an': 0}
-
id: 183425929
{'hecke_orbit_code': 616993148983326784, 'n': 88, 'trace_an': 0}
-
id: 183425930
{'hecke_orbit_code': 616993148983326784, 'n': 89, 'trace_an': 16}
-
id: 183425931
{'hecke_orbit_code': 616993148983326784, 'n': 90, 'trace_an': 0}
-
id: 183425932
{'hecke_orbit_code': 616993148983326784, 'n': 91, 'trace_an': -15}
-
id: 183425933
{'hecke_orbit_code': 616993148983326784, 'n': 92, 'trace_an': 0}
-
id: 183425934
{'hecke_orbit_code': 616993148983326784, 'n': 93, 'trace_an': 0}
-
id: 183425935
{'hecke_orbit_code': 616993148983326784, 'n': 94, 'trace_an': 0}
-
id: 183425936
{'hecke_orbit_code': 616993148983326784, 'n': 95, 'trace_an': 0}
-
id: 183425937
{'hecke_orbit_code': 616993148983326784, 'n': 96, 'trace_an': 0}
-
id: 183425938
{'hecke_orbit_code': 616993148983326784, 'n': 97, 'trace_an': 7}
-
id: 183425939
{'hecke_orbit_code': 616993148983326784, 'n': 98, 'trace_an': 0}
-
id: 183425940
{'hecke_orbit_code': 616993148983326784, 'n': 99, 'trace_an': 0}
-
id: 183425941
{'hecke_orbit_code': 616993148983326784, 'n': 100, 'trace_an': 0}