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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], [18, 18, 18, 18]], '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': 18, 'hecke_orbit_code': 76561193698867264, '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.r', '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-4q^{7}+4q^{11}-4q^{17}+4q^{23}-6q^{29}+\\cdots', 'related_objects': ['EllipticCurve/Q/14400/r'], '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, -4], 'traces': [1, 0, 0, 0, 0, 0, -4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 4, 0, 0, 0, 0, 0, -6, 0, -4, 0, 0, 0, 0, 0, 8, 0, 0, 0, 10, 0, 4, 0, 0, 0, -4, 0, 9, 0, 0, 0, -12, 0, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, -8, 0, 0, 0, -16, 0, 12, 0, 0, 0, -4, 0, 0, 0, 0, 0, 10, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 14400.2.a.r 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.r does not appear in mf_twists_nf
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hecke_orbit_code 76561193698867264 does not appear in mf_hecke_charpolys
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label 14400.2.a.r does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 153916742
{'hecke_orbit_code': 76561193698867264, 'n': 1, 'trace_an': 1}
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id: 153916743
{'hecke_orbit_code': 76561193698867264, 'n': 2, 'trace_an': 0}
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id: 153916744
{'hecke_orbit_code': 76561193698867264, 'n': 3, 'trace_an': 0}
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id: 153916745
{'hecke_orbit_code': 76561193698867264, 'n': 4, 'trace_an': 0}
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id: 153916746
{'hecke_orbit_code': 76561193698867264, 'n': 5, 'trace_an': 0}
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id: 153916747
{'hecke_orbit_code': 76561193698867264, 'n': 6, 'trace_an': 0}
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id: 153916748
{'hecke_orbit_code': 76561193698867264, 'n': 7, 'trace_an': -4}
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id: 153916749
{'hecke_orbit_code': 76561193698867264, 'n': 8, 'trace_an': 0}
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id: 153916750
{'hecke_orbit_code': 76561193698867264, 'n': 9, 'trace_an': 0}
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id: 153916751
{'hecke_orbit_code': 76561193698867264, 'n': 10, 'trace_an': 0}
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id: 153916752
{'hecke_orbit_code': 76561193698867264, 'n': 11, 'trace_an': 4}
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id: 153916753
{'hecke_orbit_code': 76561193698867264, 'n': 12, 'trace_an': 0}
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id: 153916754
{'hecke_orbit_code': 76561193698867264, 'n': 13, 'trace_an': 0}
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id: 153916755
{'hecke_orbit_code': 76561193698867264, 'n': 14, 'trace_an': 0}
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id: 153916756
{'hecke_orbit_code': 76561193698867264, 'n': 15, 'trace_an': 0}
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id: 153916757
{'hecke_orbit_code': 76561193698867264, 'n': 16, 'trace_an': 0}
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id: 153916758
{'hecke_orbit_code': 76561193698867264, 'n': 17, 'trace_an': -4}
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id: 153916759
{'hecke_orbit_code': 76561193698867264, 'n': 18, 'trace_an': 0}
-
id: 153916760
{'hecke_orbit_code': 76561193698867264, 'n': 19, 'trace_an': 0}
-
id: 153916761
{'hecke_orbit_code': 76561193698867264, 'n': 20, 'trace_an': 0}
-
id: 153916762
{'hecke_orbit_code': 76561193698867264, 'n': 21, 'trace_an': 0}
-
id: 153916763
{'hecke_orbit_code': 76561193698867264, 'n': 22, 'trace_an': 0}
-
id: 153916764
{'hecke_orbit_code': 76561193698867264, 'n': 23, 'trace_an': 4}
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id: 153916765
{'hecke_orbit_code': 76561193698867264, 'n': 24, 'trace_an': 0}
-
id: 153916766
{'hecke_orbit_code': 76561193698867264, 'n': 25, 'trace_an': 0}
-
id: 153916767
{'hecke_orbit_code': 76561193698867264, 'n': 26, 'trace_an': 0}
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id: 153916768
{'hecke_orbit_code': 76561193698867264, 'n': 27, 'trace_an': 0}
-
id: 153916769
{'hecke_orbit_code': 76561193698867264, 'n': 28, 'trace_an': 0}
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id: 153916770
{'hecke_orbit_code': 76561193698867264, 'n': 29, 'trace_an': -6}
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id: 153916771
{'hecke_orbit_code': 76561193698867264, 'n': 30, 'trace_an': 0}
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id: 153916772
{'hecke_orbit_code': 76561193698867264, 'n': 31, 'trace_an': -4}
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id: 153916773
{'hecke_orbit_code': 76561193698867264, 'n': 32, 'trace_an': 0}
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id: 153916774
{'hecke_orbit_code': 76561193698867264, 'n': 33, 'trace_an': 0}
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id: 153916775
{'hecke_orbit_code': 76561193698867264, 'n': 34, 'trace_an': 0}
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id: 153916776
{'hecke_orbit_code': 76561193698867264, 'n': 35, 'trace_an': 0}
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id: 153916777
{'hecke_orbit_code': 76561193698867264, 'n': 36, 'trace_an': 0}
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id: 153916778
{'hecke_orbit_code': 76561193698867264, 'n': 37, 'trace_an': 8}
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id: 153916779
{'hecke_orbit_code': 76561193698867264, 'n': 38, 'trace_an': 0}
-
id: 153916780
{'hecke_orbit_code': 76561193698867264, 'n': 39, 'trace_an': 0}
-
id: 153916781
{'hecke_orbit_code': 76561193698867264, 'n': 40, 'trace_an': 0}
-
id: 153916782
{'hecke_orbit_code': 76561193698867264, 'n': 41, 'trace_an': 10}
-
id: 153916783
{'hecke_orbit_code': 76561193698867264, 'n': 42, 'trace_an': 0}
-
id: 153916784
{'hecke_orbit_code': 76561193698867264, 'n': 43, 'trace_an': 4}
-
id: 153916785
{'hecke_orbit_code': 76561193698867264, 'n': 44, 'trace_an': 0}
-
id: 153916786
{'hecke_orbit_code': 76561193698867264, 'n': 45, 'trace_an': 0}
-
id: 153916787
{'hecke_orbit_code': 76561193698867264, 'n': 46, 'trace_an': 0}
-
id: 153916788
{'hecke_orbit_code': 76561193698867264, 'n': 47, 'trace_an': -4}
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id: 153916789
{'hecke_orbit_code': 76561193698867264, 'n': 48, 'trace_an': 0}
-
id: 153916790
{'hecke_orbit_code': 76561193698867264, 'n': 49, 'trace_an': 9}
-
id: 153916791
{'hecke_orbit_code': 76561193698867264, 'n': 50, 'trace_an': 0}
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id: 153916792
{'hecke_orbit_code': 76561193698867264, 'n': 51, 'trace_an': 0}
-
id: 153916793
{'hecke_orbit_code': 76561193698867264, 'n': 52, 'trace_an': 0}
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id: 153916794
{'hecke_orbit_code': 76561193698867264, 'n': 53, 'trace_an': -12}
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id: 153916795
{'hecke_orbit_code': 76561193698867264, 'n': 54, 'trace_an': 0}
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id: 153916796
{'hecke_orbit_code': 76561193698867264, 'n': 55, 'trace_an': 0}
-
id: 153916797
{'hecke_orbit_code': 76561193698867264, 'n': 56, 'trace_an': 0}
-
id: 153916798
{'hecke_orbit_code': 76561193698867264, 'n': 57, 'trace_an': 0}
-
id: 153916799
{'hecke_orbit_code': 76561193698867264, 'n': 58, 'trace_an': 0}
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id: 153916800
{'hecke_orbit_code': 76561193698867264, 'n': 59, 'trace_an': -4}
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id: 153916801
{'hecke_orbit_code': 76561193698867264, 'n': 60, 'trace_an': 0}
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id: 153916802
{'hecke_orbit_code': 76561193698867264, 'n': 61, 'trace_an': -2}
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id: 153916803
{'hecke_orbit_code': 76561193698867264, 'n': 62, 'trace_an': 0}
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id: 153916804
{'hecke_orbit_code': 76561193698867264, 'n': 63, 'trace_an': 0}
-
id: 153916805
{'hecke_orbit_code': 76561193698867264, 'n': 64, 'trace_an': 0}
-
id: 153916806
{'hecke_orbit_code': 76561193698867264, 'n': 65, 'trace_an': 0}
-
id: 153916807
{'hecke_orbit_code': 76561193698867264, 'n': 66, 'trace_an': 0}
-
id: 153916808
{'hecke_orbit_code': 76561193698867264, 'n': 67, 'trace_an': -4}
-
id: 153916809
{'hecke_orbit_code': 76561193698867264, 'n': 68, 'trace_an': 0}
-
id: 153916810
{'hecke_orbit_code': 76561193698867264, 'n': 69, 'trace_an': 0}
-
id: 153916811
{'hecke_orbit_code': 76561193698867264, 'n': 70, 'trace_an': 0}
-
id: 153916812
{'hecke_orbit_code': 76561193698867264, 'n': 71, 'trace_an': 0}
-
id: 153916813
{'hecke_orbit_code': 76561193698867264, 'n': 72, 'trace_an': 0}
-
id: 153916814
{'hecke_orbit_code': 76561193698867264, 'n': 73, 'trace_an': -8}
-
id: 153916815
{'hecke_orbit_code': 76561193698867264, 'n': 74, 'trace_an': 0}
-
id: 153916816
{'hecke_orbit_code': 76561193698867264, 'n': 75, 'trace_an': 0}
-
id: 153916817
{'hecke_orbit_code': 76561193698867264, 'n': 76, 'trace_an': 0}
-
id: 153916818
{'hecke_orbit_code': 76561193698867264, 'n': 77, 'trace_an': -16}
-
id: 153916819
{'hecke_orbit_code': 76561193698867264, 'n': 78, 'trace_an': 0}
-
id: 153916820
{'hecke_orbit_code': 76561193698867264, 'n': 79, 'trace_an': 12}
-
id: 153916821
{'hecke_orbit_code': 76561193698867264, 'n': 80, 'trace_an': 0}
-
id: 153916822
{'hecke_orbit_code': 76561193698867264, 'n': 81, 'trace_an': 0}
-
id: 153916823
{'hecke_orbit_code': 76561193698867264, 'n': 82, 'trace_an': 0}
-
id: 153916824
{'hecke_orbit_code': 76561193698867264, 'n': 83, 'trace_an': -4}
-
id: 153916825
{'hecke_orbit_code': 76561193698867264, 'n': 84, 'trace_an': 0}
-
id: 153916826
{'hecke_orbit_code': 76561193698867264, 'n': 85, 'trace_an': 0}
-
id: 153916827
{'hecke_orbit_code': 76561193698867264, 'n': 86, 'trace_an': 0}
-
id: 153916828
{'hecke_orbit_code': 76561193698867264, 'n': 87, 'trace_an': 0}
-
id: 153916829
{'hecke_orbit_code': 76561193698867264, 'n': 88, 'trace_an': 0}
-
id: 153916830
{'hecke_orbit_code': 76561193698867264, 'n': 89, 'trace_an': 10}
-
id: 153916831
{'hecke_orbit_code': 76561193698867264, 'n': 90, 'trace_an': 0}
-
id: 153916832
{'hecke_orbit_code': 76561193698867264, 'n': 91, 'trace_an': 0}
-
id: 153916833
{'hecke_orbit_code': 76561193698867264, 'n': 92, 'trace_an': 0}
-
id: 153916834
{'hecke_orbit_code': 76561193698867264, 'n': 93, 'trace_an': 0}
-
id: 153916835
{'hecke_orbit_code': 76561193698867264, 'n': 94, 'trace_an': 0}
-
id: 153916836
{'hecke_orbit_code': 76561193698867264, 'n': 95, 'trace_an': 0}
-
id: 153916837
{'hecke_orbit_code': 76561193698867264, 'n': 96, 'trace_an': 0}
-
id: 153916838
{'hecke_orbit_code': 76561193698867264, 'n': 97, 'trace_an': 8}
-
id: 153916839
{'hecke_orbit_code': 76561193698867264, 'n': 98, 'trace_an': 0}
-
id: 153916840
{'hecke_orbit_code': 76561193698867264, 'n': 99, 'trace_an': 0}
-
id: 153916841
{'hecke_orbit_code': 76561193698867264, 'n': 100, 'trace_an': 0}