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mf_newforms • Show schema
Hide schema
{'Nk2': 68800, 'analytic_conductor': 137.34269147660225, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [43, 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': [17200, 1, [10751, 12901, 1377, 8001], [2, 2, 2, 2]], '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': 2, 'hecke_orbit_code': 4503599660942128, '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': '17200.2.a.b', 'level': 17200, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 43], 'level_radical': 430, 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}-2q^{7}+6q^{9}+q^{11}-2q^{13}+\\cdots', 'related_objects': ['EllipticCurve/Q/17200/b'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '17200.2.a', 'trace_display': [0, -3, 0, -2], 'traces': [1, 0, -3, 0, 0, 0, -2, 0, 6, 0, 1, 0, -2, 0, 0, 0, 3, 0, -1, 0, 6, 0, 2, 0, 0, 0, -9, 0, 4, 0, 0, 0, -3, 0, 0, 0, 8, 0, 6, 0, 5, 0, -1, 0, 0, 0, -6, 0, -3, 0, -9, 0, 2, 0, 0, 0, 3, 0, 12, 0, 8, 0, -12, 0, 0, 0, -3, 0, -6, 0, 6, 0, -1, 0, 0, 0, -2, 0, 6, 0, 9, 0, -3, 0, 0, 0, -12, 0, -3, 0, 4, 0, 0, 0, 0, 0, 14, 0, 6, 0], 'weight': 2, 'weight_parity': 1}
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label 17200.2.a.b does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [43, 52, 55, 49, 47, 47, 53, 53], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [8, 9, 9, 9, 9, 9, 9, 9], 'ALdims_old': [279, 278, 275, 272, 283, 274, 268, 277], 'Nk2': 68800, 'analytic_conductor': 137.34269147660225, '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': [17200, 1, [10751, 12901, 1377, 8001], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 2605, 'dim': 399, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_orbit_code': 33571632, '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, 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, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 7, 7, 7, 7, 7, 7, 8, 8, 8, 8, 9, 9, 10, 10, 11, 11, 12, 12, 13, 13, 18, 18], 'label': '17200.2.a', 'level': 17200, '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, 5, 43], 'level_radical': 430, 'mf_dim': 2676, 'mf_new_dim': 399, 'num_forms': 100, 'plus_dim': 192, 'prim_orbit_index': 1, 'relative_dim': 399, 'sturm_bound': 5280, 'trace_display': [0, 0, 0, 0], 'traces': [399, 0, 0, 0, 0, 0, 0, 0, 399, 0, -6, 0, 2, 0, 0, 0, -2, 0, 8, 0, 0, 0, -6, 0, 0, 0, -24, 0, 2, 0, 14, 0, 8, 0, 0, 0, 10, 0, -36, 0, 6, 0, 3, 0, 0, 0, -4, 0, 415, 0, -36, 0, -6, 0, 0, 0, 16, 0, -24, 0, -14, 0, -56, 0, 0, 0, 18, 0, -32, 0, -12, 0, -2, 0, 0, 0, -24, 0, 24, 0, 415, 0, 30, 0, 0, 0, 12, 0, -2, 0, -24, 0, 24, 0, 0, 0, -10, 0, 26, 0, -14, 0, -58, 0, 0, 0, 4, 0, -30, 0, 52, 0, -10, 0, 0, 0, 18, 0, 16, 0, 399, 0, -36, 0, 0, 0, 22, 0, 0, 0, 36, 0, -16, 0, 0, 0, 14, 0, -6, 0, 8, 0, -14, 0, 0, 0, 8, 0, -70, 0, 8, 0, -34, 0, 0, 0, 10, 0, -36, 0, -24, 0, -56, 0, 0, 0, -42, 0, 381, 0, 24, 0, 26, 0, 0, 0, -40, 0, -44, 0, -46, 0, -24, 0, 0, 0, -38, 0, 56, 0, -16, 0, -2, 0, 0, 0, 58, 0, -84, 0, -48, 0, -88, 0, 0, 0, 14, 0, 8, 0, -32, 0, 72, 0, 0, 0, 32, 0, 8, 0, -44, 0, -40, 0, 0, 0, 28, 0, -30, 0, -88, 0, -50, 0, 0, 0, -16, 0, 80, 0, -18, 0, -72, 0, 0, 0, -4, 0, -40, 0, 46, 0, 0, 0, 0, 0, -50, 0, -24, 0, 10, 0, -36, 0, 0, 0, -32, 0, 10, 0, 46, 0, 8, 0, 0, 0, -6, 0, 294, 0, -10, 0, -38, 0, 0, 0, -8, 0, 397, 0, 236, 0, -62, 0, 0, 0, 64, 0, -26, 0, 0, 0, 52, 0, 0, 0, 58, 0, 40, 0, 210, 0, 6, 0, 0, 0, 2, 0, -36, 0, -24, 0, -20, 0, 0, 0, 44, 0, 8, 0, 56, 0, 42, 0, 0, 0, -26, 0, 160, 0, -48, 0, 0, 0, 0, 0, 148, 0, 26, 0, -160, 0, 18, 0, 0, 0, 72, 0, -74, 0, 375, 0, -76, 0, 0, 0, 44, 0, 98, 0, -24, 0, 98, 0, 0, 0, 44, 0, -174, 0, -64, 0, -8, 0, 0, 0, 15, 0, -78, 0, -106, 0, 12, 0, 0, 0, -14, 0, -40, 0, 6, 0, -130, 0, 0, 0, 152, 0, -18, 0, -56, 0, 88, 0, 0, 0, 72, 0, 188, 0, 42, 0, 44, 0, 0, 0, 0, 0, 24, 0, 78, 0, -42, 0, 0, 0, -16, 0, -222, 0, 511, 0, 12, 0, 0, 0, -60, 0, 102, 0, -46, 0, 32, 0, 0, 0, -50, 0, 128, 0, -30, 0, -80, 0, 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0, 0, 0, -36, 0, 40, 0, 120, 0, 64, 0, 0, 0, 246, 0, 184, 0, 132, 0, 48, 0, 0, 0, 42, 0, 220, 0, 78, 0, 48, 0, 0, 0, -144, 0, -110, 0, -376, 0, 34, 0, 0, 0, -88, 0, -140, 0, 88, 0, -12, 0, 0, 0, -100, 0, 176, 0, -128, 0, 52, 0, 0, 0, 98, 0, -116, 0, 158, 0, -12, 0, 0, 0, 124, 0, 34, 0, -8, 0, 24, 0, 0, 0, 0, 0, -40, 0, 10, 0, 6, 0, 0, 0, 140, 0, -46, 0, 8, 0, 102, 0, 0, 0, 112, 0, -200, 0, 517, 0, 44, 0, 0, 0, -40, 0, -64, 0, 192, 0, 122, 0, 0, 0, 2, 0, -36, 0, 0, 0, 172, 0, 0, 0, -12, 0, -24, 0, 206, 0, 74, 0, 0, 0, 210, 0, 680, 0, -2, 0, 14, 0, 0, 0, 308, 0, -56, 0, 690, 0, 184, 0, 0, 0, 0, 0, -156, 0, -220, 0, -16, 0, 0, 0, -74, 0, -166, 0, 444, 0, 44, 0, 0, 0, 8, 0, -10, 0, 120, 0, 188, 0, 0, 0, -318, 0, 6, 0, 56, 0, 96, 0, 0, 0, -138, 0, 320, 0, -54, 0, -86, 0, 0, 0, -26, 0, -28, 0, 92, 0, -106, 0, 0, 0, 0, 0, 120, 0, 223, 0, 308, 0, 0, 0, 166, 0, 124, 0, -158, 0, -208, 0, 0, 0, 18, 0, 40, 0, -382, 0, 96, 0, 0, 0, -48, 0, 0, 0, -244, 0, -56, 0, 0, 0, 66, 0, 204, 0], 'weight': 2, 'weight_parity': 1}
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source_label 17200.2.a.b does not appear in mf_twists_nf
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hecke_orbit_code 4503599660942128 does not appear in mf_hecke_charpolys
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label 17200.2.a.b does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 119760742
{'hecke_orbit_code': 4503599660942128, 'n': 1, 'trace_an': 1}
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id: 119760743
{'hecke_orbit_code': 4503599660942128, 'n': 2, 'trace_an': 0}
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id: 119760744
{'hecke_orbit_code': 4503599660942128, 'n': 3, 'trace_an': -3}
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id: 119760745
{'hecke_orbit_code': 4503599660942128, 'n': 4, 'trace_an': 0}
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id: 119760746
{'hecke_orbit_code': 4503599660942128, 'n': 5, 'trace_an': 0}
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id: 119760747
{'hecke_orbit_code': 4503599660942128, 'n': 6, 'trace_an': 0}
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id: 119760748
{'hecke_orbit_code': 4503599660942128, 'n': 7, 'trace_an': -2}
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id: 119760749
{'hecke_orbit_code': 4503599660942128, 'n': 8, 'trace_an': 0}
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id: 119760750
{'hecke_orbit_code': 4503599660942128, 'n': 9, 'trace_an': 6}
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id: 119760751
{'hecke_orbit_code': 4503599660942128, 'n': 10, 'trace_an': 0}
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id: 119760752
{'hecke_orbit_code': 4503599660942128, 'n': 11, 'trace_an': 1}
-
id: 119760753
{'hecke_orbit_code': 4503599660942128, 'n': 12, 'trace_an': 0}
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id: 119760754
{'hecke_orbit_code': 4503599660942128, 'n': 13, 'trace_an': -2}
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id: 119760755
{'hecke_orbit_code': 4503599660942128, 'n': 14, 'trace_an': 0}
-
id: 119760756
{'hecke_orbit_code': 4503599660942128, 'n': 15, 'trace_an': 0}
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id: 119760757
{'hecke_orbit_code': 4503599660942128, 'n': 16, 'trace_an': 0}
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id: 119760758
{'hecke_orbit_code': 4503599660942128, 'n': 17, 'trace_an': 3}
-
id: 119760759
{'hecke_orbit_code': 4503599660942128, 'n': 18, 'trace_an': 0}
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id: 119760760
{'hecke_orbit_code': 4503599660942128, 'n': 19, 'trace_an': -1}
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id: 119760761
{'hecke_orbit_code': 4503599660942128, 'n': 20, 'trace_an': 0}
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id: 119760762
{'hecke_orbit_code': 4503599660942128, 'n': 21, 'trace_an': 6}
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id: 119760763
{'hecke_orbit_code': 4503599660942128, 'n': 22, 'trace_an': 0}
-
id: 119760764
{'hecke_orbit_code': 4503599660942128, 'n': 23, 'trace_an': 2}
-
id: 119760765
{'hecke_orbit_code': 4503599660942128, 'n': 24, 'trace_an': 0}
-
id: 119760766
{'hecke_orbit_code': 4503599660942128, 'n': 25, 'trace_an': 0}
-
id: 119760767
{'hecke_orbit_code': 4503599660942128, 'n': 26, 'trace_an': 0}
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id: 119760768
{'hecke_orbit_code': 4503599660942128, 'n': 27, 'trace_an': -9}
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id: 119760769
{'hecke_orbit_code': 4503599660942128, 'n': 28, 'trace_an': 0}
-
id: 119760770
{'hecke_orbit_code': 4503599660942128, 'n': 29, 'trace_an': 4}
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id: 119760771
{'hecke_orbit_code': 4503599660942128, 'n': 30, 'trace_an': 0}
-
id: 119760772
{'hecke_orbit_code': 4503599660942128, 'n': 31, 'trace_an': 0}
-
id: 119760773
{'hecke_orbit_code': 4503599660942128, 'n': 32, 'trace_an': 0}
-
id: 119760774
{'hecke_orbit_code': 4503599660942128, 'n': 33, 'trace_an': -3}
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id: 119760775
{'hecke_orbit_code': 4503599660942128, 'n': 34, 'trace_an': 0}
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id: 119760776
{'hecke_orbit_code': 4503599660942128, 'n': 35, 'trace_an': 0}
-
id: 119760777
{'hecke_orbit_code': 4503599660942128, 'n': 36, 'trace_an': 0}
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id: 119760778
{'hecke_orbit_code': 4503599660942128, 'n': 37, 'trace_an': 8}
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id: 119760779
{'hecke_orbit_code': 4503599660942128, 'n': 38, 'trace_an': 0}
-
id: 119760780
{'hecke_orbit_code': 4503599660942128, 'n': 39, 'trace_an': 6}
-
id: 119760781
{'hecke_orbit_code': 4503599660942128, 'n': 40, 'trace_an': 0}
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id: 119760782
{'hecke_orbit_code': 4503599660942128, 'n': 41, 'trace_an': 5}
-
id: 119760783
{'hecke_orbit_code': 4503599660942128, 'n': 42, 'trace_an': 0}
-
id: 119760784
{'hecke_orbit_code': 4503599660942128, 'n': 43, 'trace_an': -1}
-
id: 119760785
{'hecke_orbit_code': 4503599660942128, 'n': 44, 'trace_an': 0}
-
id: 119760786
{'hecke_orbit_code': 4503599660942128, 'n': 45, 'trace_an': 0}
-
id: 119760787
{'hecke_orbit_code': 4503599660942128, 'n': 46, 'trace_an': 0}
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id: 119760788
{'hecke_orbit_code': 4503599660942128, 'n': 47, 'trace_an': -6}
-
id: 119760789
{'hecke_orbit_code': 4503599660942128, 'n': 48, 'trace_an': 0}
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id: 119760790
{'hecke_orbit_code': 4503599660942128, 'n': 49, 'trace_an': -3}
-
id: 119760791
{'hecke_orbit_code': 4503599660942128, 'n': 50, 'trace_an': 0}
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id: 119760792
{'hecke_orbit_code': 4503599660942128, 'n': 51, 'trace_an': -9}
-
id: 119760793
{'hecke_orbit_code': 4503599660942128, 'n': 52, 'trace_an': 0}
-
id: 119760794
{'hecke_orbit_code': 4503599660942128, 'n': 53, 'trace_an': 2}
-
id: 119760795
{'hecke_orbit_code': 4503599660942128, 'n': 54, 'trace_an': 0}
-
id: 119760796
{'hecke_orbit_code': 4503599660942128, 'n': 55, 'trace_an': 0}
-
id: 119760797
{'hecke_orbit_code': 4503599660942128, 'n': 56, 'trace_an': 0}
-
id: 119760798
{'hecke_orbit_code': 4503599660942128, 'n': 57, 'trace_an': 3}
-
id: 119760799
{'hecke_orbit_code': 4503599660942128, 'n': 58, 'trace_an': 0}
-
id: 119760800
{'hecke_orbit_code': 4503599660942128, 'n': 59, 'trace_an': 12}
-
id: 119760801
{'hecke_orbit_code': 4503599660942128, 'n': 60, 'trace_an': 0}
-
id: 119760802
{'hecke_orbit_code': 4503599660942128, 'n': 61, 'trace_an': 8}
-
id: 119760803
{'hecke_orbit_code': 4503599660942128, 'n': 62, 'trace_an': 0}
-
id: 119760804
{'hecke_orbit_code': 4503599660942128, 'n': 63, 'trace_an': -12}
-
id: 119760805
{'hecke_orbit_code': 4503599660942128, 'n': 64, 'trace_an': 0}
-
id: 119760806
{'hecke_orbit_code': 4503599660942128, 'n': 65, 'trace_an': 0}
-
id: 119760807
{'hecke_orbit_code': 4503599660942128, 'n': 66, 'trace_an': 0}
-
id: 119760808
{'hecke_orbit_code': 4503599660942128, 'n': 67, 'trace_an': -3}
-
id: 119760809
{'hecke_orbit_code': 4503599660942128, 'n': 68, 'trace_an': 0}
-
id: 119760810
{'hecke_orbit_code': 4503599660942128, 'n': 69, 'trace_an': -6}
-
id: 119760811
{'hecke_orbit_code': 4503599660942128, 'n': 70, 'trace_an': 0}
-
id: 119760812
{'hecke_orbit_code': 4503599660942128, 'n': 71, 'trace_an': 6}
-
id: 119760813
{'hecke_orbit_code': 4503599660942128, 'n': 72, 'trace_an': 0}
-
id: 119760814
{'hecke_orbit_code': 4503599660942128, 'n': 73, 'trace_an': -1}
-
id: 119760815
{'hecke_orbit_code': 4503599660942128, 'n': 74, 'trace_an': 0}
-
id: 119760816
{'hecke_orbit_code': 4503599660942128, 'n': 75, 'trace_an': 0}
-
id: 119760817
{'hecke_orbit_code': 4503599660942128, 'n': 76, 'trace_an': 0}
-
id: 119760818
{'hecke_orbit_code': 4503599660942128, 'n': 77, 'trace_an': -2}
-
id: 119760819
{'hecke_orbit_code': 4503599660942128, 'n': 78, 'trace_an': 0}
-
id: 119760820
{'hecke_orbit_code': 4503599660942128, 'n': 79, 'trace_an': 6}
-
id: 119760821
{'hecke_orbit_code': 4503599660942128, 'n': 80, 'trace_an': 0}
-
id: 119760822
{'hecke_orbit_code': 4503599660942128, 'n': 81, 'trace_an': 9}
-
id: 119760823
{'hecke_orbit_code': 4503599660942128, 'n': 82, 'trace_an': 0}
-
id: 119760824
{'hecke_orbit_code': 4503599660942128, 'n': 83, 'trace_an': -3}
-
id: 119760825
{'hecke_orbit_code': 4503599660942128, 'n': 84, 'trace_an': 0}
-
id: 119760826
{'hecke_orbit_code': 4503599660942128, 'n': 85, 'trace_an': 0}
-
id: 119760827
{'hecke_orbit_code': 4503599660942128, 'n': 86, 'trace_an': 0}
-
id: 119760828
{'hecke_orbit_code': 4503599660942128, 'n': 87, 'trace_an': -12}
-
id: 119760829
{'hecke_orbit_code': 4503599660942128, 'n': 88, 'trace_an': 0}
-
id: 119760830
{'hecke_orbit_code': 4503599660942128, 'n': 89, 'trace_an': -3}
-
id: 119760831
{'hecke_orbit_code': 4503599660942128, 'n': 90, 'trace_an': 0}
-
id: 119760832
{'hecke_orbit_code': 4503599660942128, 'n': 91, 'trace_an': 4}
-
id: 119760833
{'hecke_orbit_code': 4503599660942128, 'n': 92, 'trace_an': 0}
-
id: 119760834
{'hecke_orbit_code': 4503599660942128, 'n': 93, 'trace_an': 0}
-
id: 119760835
{'hecke_orbit_code': 4503599660942128, 'n': 94, 'trace_an': 0}
-
id: 119760836
{'hecke_orbit_code': 4503599660942128, 'n': 95, 'trace_an': 0}
-
id: 119760837
{'hecke_orbit_code': 4503599660942128, 'n': 96, 'trace_an': 0}
-
id: 119760838
{'hecke_orbit_code': 4503599660942128, 'n': 97, 'trace_an': 14}
-
id: 119760839
{'hecke_orbit_code': 4503599660942128, 'n': 98, 'trace_an': 0}
-
id: 119760840
{'hecke_orbit_code': 4503599660942128, 'n': 99, 'trace_an': 6}
-
id: 119760841
{'hecke_orbit_code': 4503599660942128, 'n': 100, 'trace_an': 0}