-
mf_newforms • Show schema
Hide schema
{'Nk2': 116424, 'analytic_conductor': 232.4125801231387, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [7, -1], [11, -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': [29106, 1, [14015, 19603, 5293], [50, 50, 50]], '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': 50, 'hecke_orbit_code': 220676381774737842, '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': '29106.2.a.bx', 'level': 29106, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}-2q^{5}+q^{8}-2q^{10}+q^{11}+\\cdots', 'related_objects': ['EllipticCurve/Q/29106/bx'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '29106.2.a', 'trace_display': [1, 0, -2, 0], 'traces': [1, 1, 0, 1, -2, 0, 0, 1, 0, -2, 1, 0, 2, 0, 0, 1, -1, 0, 0, -2, 0, 1, 3, 0, -1, 2, 0, 0, 1, 0, 8, 1, 0, -1, 0, 0, 1, 0, 0, -2, -11, 0, 1, 1, 0, 3, 5, 0, 0, -1, 0, 2, 4, 0, -2, 0, 0, 1, 3, 0, 2, 8, 0, 1, -4, 0, -12, -1, 0, 0, 8, 0, -12, 1, 0, 0, 0, 0, -17, -2, 0, -11, 14, 0, 2, 1, 0, 1, 2, 0, 0, 3, 0, 5, 0, 0, 5, 0, 0, -1], 'weight': 2, 'weight_parity': 1}
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label 29106.2.a.bx does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [32, 34, 37, 34, 35, 33, 33, 36, 36, 30, 31, 40, 31, 37, 39, 30], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [325, 346, 345, 333, 345, 335, 337, 337, 340, 346, 340, 328, 333, 339, 338, 338], 'Nk2': 116424, 'analytic_conductor': 232.4125801231387, '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': [29106, 1, [14015, 19603, 5293], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 5953, 'dim': 548, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_orbit_code': 33583538, '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, 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, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 8, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10, 10], 'label': '29106.2.a', 'level': 29106, '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, 7, 11], 'level_radical': 462, 'mf_dim': 6144, 'mf_new_dim': 548, 'num_forms': 172, 'plus_dim': 254, 'prim_orbit_index': 1, 'relative_dim': 548, 'sturm_bound': 12096, 'trace_display': [0, 0, 0, 0], 'traces': [548, 0, 0, 548, 0, 0, 0, 0, 0, 16, 0, 0, 8, 0, 0, 548, 0, 0, 0, 0, 0, 0, 0, 0, 572, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, -36, 0, 0, 16, 0, 0, -48, 0, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 28, 0, 0, 16, 0, 0, 548, 0, 0, -48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -80, 0, 0, 20, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, 572, 0, 0, -16, 0, 0, 16, 0, 0, -24, 0, 0, 0, 0, 0, 24, 0, 0, -16, 0, 0, 548, 0, 0, 0, 0, 0, -32, 0, 0, 24, 0, 0, 0, 0, 0, 20, 0, 0, -24, 0, 0, -24, 0, 0, 8, 0, 0, -36, 0, 0, -8, 0, 0, 0, 0, 0, 76, 0, 0, 16, 0, 0, -24, 0, 0, -24, 0, 0, 452, 0, 0, -48, 0, 0, 0, 0, 0, 8, 0, 0, -20, 0, 0, 8, 0, 0, 0, 0, 0, 16, 0, 0, 16, 0, 0, 0, 0, 0, -64, 0, 0, 60, 0, 0, -144, 0, 0, 8, 0, 0, -256, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 112, 0, 0, 60, 0, 0, 28, 0, 0, -152, 0, 0, 0, 0, 0, 24, 0, 0, 16, 0, 0, -256, 0, 0, 96, 0, 0, 4, 0, 0, 548, 0, 0, 0, 0, 0, 24, 0, 0, -136, 0, 0, -48, 0, 0, -200, 0, 0, 144, 0, 0, -168, 0, 0, 0, 0, 0, 16, 0, 0, -8, 0, 0, 512, 0, 0, 0, 0, 0, -176, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, -192, 0, 0, -16, 0, 0, -80, 0, 0, 48, 0, 0, 0, 0, 0, -32, 0, 0, 20, 0, 0, 128, 0, 0, 32, 0, 0, 312, 0, 0, 56, 0, 0, 0, 0, 0, -8, 0, 0, -64, 0, 0, 0, 0, 0, -200, 0, 0, 80, 0, 0, 884, 0, 0, 0, 0, 0, 16, 0, 0, -104, 0, 0, 456, 0, 0, 0, 0, 0, -88, 0, 0, 0, 0, 0, 0, 0, 0, 20, 0, 0, -88, 0, 0, 76, 0, 0, 88, 0, 0, 572, 0, 0, 280, 0, 0, 0, 0, 0, 32, 0, 0, -16, 0, 0, -296, 0, 0, -32, 0, 0, 404, 0, 0, 16, 0, 0, 0, 0, 0, -48, 0, 0, -60, 0, 0, -24, 0, 0, 48, 0, 0, 464, 0, 0, 416, 0, 0, 0, 0, 0, -72, 0, 0, 96, 0, 0, 672, 0, 0, 24, 0, 0, 304, 0, 0, 512, 0, 0, 0, 0, 0, -16, 0, 0, -128, 0, 0, -48, 0, 0, 136, 0, 0, 548, 0, 0, 464, 0, 0, 0, 0, 0, 68, 0, 0, 0, 0, 0, -104, 0, 0, -128, 0, 0, 616, 0, 0, -32, 0, 0, 0, 0, 0, 152, 0, 0, -12, 0, 0, 24, 0, 0, 200, 0, 0, 112, 0, 0, 880, 0, 0, 0, 0, 0, 160, 0, 0, 160, 0, 0, 1040, 0, 0, 20, 0, 0, -160, 0, 0, -8, 0, 0, 0, 0, 0, -24, 0, 0, 256, 0, 0, 412, 0, 0, -80, 0, 0, -24, 0, 0, 776, 0, 0, 0, 0, 0, -52, 0, 0, 8, 0, 0, 40, 0, 0, 200, 0, 0, -16, 0, 0, -36, 0, 0, 0, 0, 0, -80, 0, 0, 192, 0, 0, -8, 0, 0, 216, 0, 0, 560, 0, 0, 168, 0, 0, 0, 0, 0, 160, 0, 0, -48, 0, 0, 428, 0, 0, 76, 0, 0, -168, 0, 0, -96, 0, 0, 0, 0, 0, 16, 0, 0, 144, 0, 0, -224, 0, 0, -4, 0, 0, -24, 0, 0, 40, 0, 0, 0, 0, 0, 236, 0, 0, -24, 0, 0, -104, 0, 0, -88, 0, 0, 616, 0, 0, 452, 0, 0, 0, 0, 0, 16, 0, 0, 224, 0, 0, -48, 0, 0, 72, 0, 0, -128, 0, 0, 596, 0, 0, 0, 0, 0, 288, 0, 0, 40, 0, 0, 292, 0, 0, 8, 0, 0, -96, 0, 0, 144, 0, 0, 0, 0, 0, -20, 0, 0, 96, 0, 0, 512, 0, 0, 208, 0, 0, 8, 0, 0, -48, 0, 0, 0, 0, 0, 400, 0, 0, 0, 0, 0, 704, 0, 0, 56, 0, 0, 188, 0, 0, 16, 0, 0, 0, 0, 0, 136, 0, 0, -56, 0, 0, 16, 0, 0, -80, 0, 0, 80, 0, 0, -24, 0, 0, 0, 0, 0, 192, 0, 0, -336, 0, 0, 224, 0, 0, -64, 0, 0, -184, 0, 0, 392, 0, 0, 0, 0, 0, 60, 0, 0, -56, 0, 0, -8, 0, 0, 16, 0, 0, -144, 0, 0, 152, 0, 0, 0, 0, 0, -156, 0, 0, 8, 0, 0, -64, 0, 0, -112, 0, 0, 1000, 0, 0, -256, 0, 0, 0, 0, 0, 100, 0, 0, 40, 0, 0, 32, 0, 0, 16, 0, 0, 176, 0, 0, 640, 0, 0, 0, 0, 0, -224, 0, 0, -32, 0, 0, -48, 0, 0, 0, 0, 0, 544, 0, 0, -32, 0, 0, 0, 0, 0, 96, 0, 0, 16, 0, 0, 48, 0, 0, 552, 0, 0, 112, 0, 0, -256, 0, 0, 0, 0, 0, 40, 0, 0, 60, 0, 0, -592, 0, 0, -56, 0, 0, 308, 0, 0, 28, 0, 0, 0, 0, 0, -96, 0, 0, -216, 0, 0, -152, 0, 0, 464, 0, 0, 36, 0, 0, -16, 0, 0, 0, 0, 0, -480, 0, 0, 240, 0, 0, 172, 0, 0, 24, 0, 0, -344, 0, 0, 712, 0, 0, 0, 0, 0, 16, 0, 0, -48, 0, 0, -128, 0, 0, 488, 0, 0, -256, 0, 0, -392, 0, 0, 0, 0, 0, -88, 0, 0, 96], 'weight': 2, 'weight_parity': 1}
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source_label 29106.2.a.bx does not appear in mf_twists_nf
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hecke_orbit_code 220676381774737842 does not appear in mf_hecke_charpolys
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label 29106.2.a.bx does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 173018842
{'hecke_orbit_code': 220676381774737842, 'n': 1, 'trace_an': 1}
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id: 173018843
{'hecke_orbit_code': 220676381774737842, 'n': 2, 'trace_an': 1}
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id: 173018844
{'hecke_orbit_code': 220676381774737842, 'n': 3, 'trace_an': 0}
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id: 173018845
{'hecke_orbit_code': 220676381774737842, 'n': 4, 'trace_an': 1}
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id: 173018846
{'hecke_orbit_code': 220676381774737842, 'n': 5, 'trace_an': -2}
-
id: 173018847
{'hecke_orbit_code': 220676381774737842, 'n': 6, 'trace_an': 0}
-
id: 173018848
{'hecke_orbit_code': 220676381774737842, 'n': 7, 'trace_an': 0}
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id: 173018849
{'hecke_orbit_code': 220676381774737842, 'n': 8, 'trace_an': 1}
-
id: 173018850
{'hecke_orbit_code': 220676381774737842, 'n': 9, 'trace_an': 0}
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id: 173018851
{'hecke_orbit_code': 220676381774737842, 'n': 10, 'trace_an': -2}
-
id: 173018852
{'hecke_orbit_code': 220676381774737842, 'n': 11, 'trace_an': 1}
-
id: 173018853
{'hecke_orbit_code': 220676381774737842, 'n': 12, 'trace_an': 0}
-
id: 173018854
{'hecke_orbit_code': 220676381774737842, 'n': 13, 'trace_an': 2}
-
id: 173018855
{'hecke_orbit_code': 220676381774737842, 'n': 14, 'trace_an': 0}
-
id: 173018856
{'hecke_orbit_code': 220676381774737842, 'n': 15, 'trace_an': 0}
-
id: 173018857
{'hecke_orbit_code': 220676381774737842, 'n': 16, 'trace_an': 1}
-
id: 173018858
{'hecke_orbit_code': 220676381774737842, 'n': 17, 'trace_an': -1}
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id: 173018859
{'hecke_orbit_code': 220676381774737842, 'n': 18, 'trace_an': 0}
-
id: 173018860
{'hecke_orbit_code': 220676381774737842, 'n': 19, 'trace_an': 0}
-
id: 173018861
{'hecke_orbit_code': 220676381774737842, 'n': 20, 'trace_an': -2}
-
id: 173018862
{'hecke_orbit_code': 220676381774737842, 'n': 21, 'trace_an': 0}
-
id: 173018863
{'hecke_orbit_code': 220676381774737842, 'n': 22, 'trace_an': 1}
-
id: 173018864
{'hecke_orbit_code': 220676381774737842, 'n': 23, 'trace_an': 3}
-
id: 173018865
{'hecke_orbit_code': 220676381774737842, 'n': 24, 'trace_an': 0}
-
id: 173018866
{'hecke_orbit_code': 220676381774737842, 'n': 25, 'trace_an': -1}
-
id: 173018867
{'hecke_orbit_code': 220676381774737842, 'n': 26, 'trace_an': 2}
-
id: 173018868
{'hecke_orbit_code': 220676381774737842, 'n': 27, 'trace_an': 0}
-
id: 173018869
{'hecke_orbit_code': 220676381774737842, 'n': 28, 'trace_an': 0}
-
id: 173018870
{'hecke_orbit_code': 220676381774737842, 'n': 29, 'trace_an': 1}
-
id: 173018871
{'hecke_orbit_code': 220676381774737842, 'n': 30, 'trace_an': 0}
-
id: 173018872
{'hecke_orbit_code': 220676381774737842, 'n': 31, 'trace_an': 8}
-
id: 173018873
{'hecke_orbit_code': 220676381774737842, 'n': 32, 'trace_an': 1}
-
id: 173018874
{'hecke_orbit_code': 220676381774737842, 'n': 33, 'trace_an': 0}
-
id: 173018875
{'hecke_orbit_code': 220676381774737842, 'n': 34, 'trace_an': -1}
-
id: 173018876
{'hecke_orbit_code': 220676381774737842, 'n': 35, 'trace_an': 0}
-
id: 173018877
{'hecke_orbit_code': 220676381774737842, 'n': 36, 'trace_an': 0}
-
id: 173018878
{'hecke_orbit_code': 220676381774737842, 'n': 37, 'trace_an': 1}
-
id: 173018879
{'hecke_orbit_code': 220676381774737842, 'n': 38, 'trace_an': 0}
-
id: 173018880
{'hecke_orbit_code': 220676381774737842, 'n': 39, 'trace_an': 0}
-
id: 173018881
{'hecke_orbit_code': 220676381774737842, 'n': 40, 'trace_an': -2}
-
id: 173018882
{'hecke_orbit_code': 220676381774737842, 'n': 41, 'trace_an': -11}
-
id: 173018883
{'hecke_orbit_code': 220676381774737842, 'n': 42, 'trace_an': 0}
-
id: 173018884
{'hecke_orbit_code': 220676381774737842, 'n': 43, 'trace_an': 1}
-
id: 173018885
{'hecke_orbit_code': 220676381774737842, 'n': 44, 'trace_an': 1}
-
id: 173018886
{'hecke_orbit_code': 220676381774737842, 'n': 45, 'trace_an': 0}
-
id: 173018887
{'hecke_orbit_code': 220676381774737842, 'n': 46, 'trace_an': 3}
-
id: 173018888
{'hecke_orbit_code': 220676381774737842, 'n': 47, 'trace_an': 5}
-
id: 173018889
{'hecke_orbit_code': 220676381774737842, 'n': 48, 'trace_an': 0}
-
id: 173018890
{'hecke_orbit_code': 220676381774737842, 'n': 49, 'trace_an': 0}
-
id: 173018891
{'hecke_orbit_code': 220676381774737842, 'n': 50, 'trace_an': -1}
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id: 173018892
{'hecke_orbit_code': 220676381774737842, 'n': 51, 'trace_an': 0}
-
id: 173018893
{'hecke_orbit_code': 220676381774737842, 'n': 52, 'trace_an': 2}
-
id: 173018894
{'hecke_orbit_code': 220676381774737842, 'n': 53, 'trace_an': 4}
-
id: 173018895
{'hecke_orbit_code': 220676381774737842, 'n': 54, 'trace_an': 0}
-
id: 173018896
{'hecke_orbit_code': 220676381774737842, 'n': 55, 'trace_an': -2}
-
id: 173018897
{'hecke_orbit_code': 220676381774737842, 'n': 56, 'trace_an': 0}
-
id: 173018898
{'hecke_orbit_code': 220676381774737842, 'n': 57, 'trace_an': 0}
-
id: 173018899
{'hecke_orbit_code': 220676381774737842, 'n': 58, 'trace_an': 1}
-
id: 173018900
{'hecke_orbit_code': 220676381774737842, 'n': 59, 'trace_an': 3}
-
id: 173018901
{'hecke_orbit_code': 220676381774737842, 'n': 60, 'trace_an': 0}
-
id: 173018902
{'hecke_orbit_code': 220676381774737842, 'n': 61, 'trace_an': 2}
-
id: 173018903
{'hecke_orbit_code': 220676381774737842, 'n': 62, 'trace_an': 8}
-
id: 173018904
{'hecke_orbit_code': 220676381774737842, 'n': 63, 'trace_an': 0}
-
id: 173018905
{'hecke_orbit_code': 220676381774737842, 'n': 64, 'trace_an': 1}
-
id: 173018906
{'hecke_orbit_code': 220676381774737842, 'n': 65, 'trace_an': -4}
-
id: 173018907
{'hecke_orbit_code': 220676381774737842, 'n': 66, 'trace_an': 0}
-
id: 173018908
{'hecke_orbit_code': 220676381774737842, 'n': 67, 'trace_an': -12}
-
id: 173018909
{'hecke_orbit_code': 220676381774737842, 'n': 68, 'trace_an': -1}
-
id: 173018910
{'hecke_orbit_code': 220676381774737842, 'n': 69, 'trace_an': 0}
-
id: 173018911
{'hecke_orbit_code': 220676381774737842, 'n': 70, 'trace_an': 0}
-
id: 173018912
{'hecke_orbit_code': 220676381774737842, 'n': 71, 'trace_an': 8}
-
id: 173018913
{'hecke_orbit_code': 220676381774737842, 'n': 72, 'trace_an': 0}
-
id: 173018914
{'hecke_orbit_code': 220676381774737842, 'n': 73, 'trace_an': -12}
-
id: 173018915
{'hecke_orbit_code': 220676381774737842, 'n': 74, 'trace_an': 1}
-
id: 173018916
{'hecke_orbit_code': 220676381774737842, 'n': 75, 'trace_an': 0}
-
id: 173018917
{'hecke_orbit_code': 220676381774737842, 'n': 76, 'trace_an': 0}
-
id: 173018918
{'hecke_orbit_code': 220676381774737842, 'n': 77, 'trace_an': 0}
-
id: 173018919
{'hecke_orbit_code': 220676381774737842, 'n': 78, 'trace_an': 0}
-
id: 173018920
{'hecke_orbit_code': 220676381774737842, 'n': 79, 'trace_an': -17}
-
id: 173018921
{'hecke_orbit_code': 220676381774737842, 'n': 80, 'trace_an': -2}
-
id: 173018922
{'hecke_orbit_code': 220676381774737842, 'n': 81, 'trace_an': 0}
-
id: 173018923
{'hecke_orbit_code': 220676381774737842, 'n': 82, 'trace_an': -11}
-
id: 173018924
{'hecke_orbit_code': 220676381774737842, 'n': 83, 'trace_an': 14}
-
id: 173018925
{'hecke_orbit_code': 220676381774737842, 'n': 84, 'trace_an': 0}
-
id: 173018926
{'hecke_orbit_code': 220676381774737842, 'n': 85, 'trace_an': 2}
-
id: 173018927
{'hecke_orbit_code': 220676381774737842, 'n': 86, 'trace_an': 1}
-
id: 173018928
{'hecke_orbit_code': 220676381774737842, 'n': 87, 'trace_an': 0}
-
id: 173018929
{'hecke_orbit_code': 220676381774737842, 'n': 88, 'trace_an': 1}
-
id: 173018930
{'hecke_orbit_code': 220676381774737842, 'n': 89, 'trace_an': 2}
-
id: 173018931
{'hecke_orbit_code': 220676381774737842, 'n': 90, 'trace_an': 0}
-
id: 173018932
{'hecke_orbit_code': 220676381774737842, 'n': 91, 'trace_an': 0}
-
id: 173018933
{'hecke_orbit_code': 220676381774737842, 'n': 92, 'trace_an': 3}
-
id: 173018934
{'hecke_orbit_code': 220676381774737842, 'n': 93, 'trace_an': 0}
-
id: 173018935
{'hecke_orbit_code': 220676381774737842, 'n': 94, 'trace_an': 5}
-
id: 173018936
{'hecke_orbit_code': 220676381774737842, 'n': 95, 'trace_an': 0}
-
id: 173018937
{'hecke_orbit_code': 220676381774737842, 'n': 96, 'trace_an': 0}
-
id: 173018938
{'hecke_orbit_code': 220676381774737842, 'n': 97, 'trace_an': 5}
-
id: 173018939
{'hecke_orbit_code': 220676381774737842, 'n': 98, 'trace_an': 0}
-
id: 173018940
{'hecke_orbit_code': 220676381774737842, 'n': 99, 'trace_an': 0}
-
id: 173018941
{'hecke_orbit_code': 220676381774737842, 'n': 100, 'trace_an': -1}