-
mf_newforms • Show schema
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{'Nk2': 194208, 'analytic_conductor': 387.6896718937205, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, 1], [17, 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': [48552, 1, [36415, 24277, 32369, 34681, 34105], [70, 70, 70, 70, 70]], 'cm_discs': [], 'conrey_index': 1, 'dim': 6, 'field_poly': [-88, -7, 99, 19, -18, -2, 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': 70, 'hecke_orbit_code': 310748374322167208, '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': '48552.2.a.cr', 'level': 48552, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 17], 'level_radical': 714, 'prim_orbit_index': 1, 'related_objects': [], 'relative_dim': 6, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '48552.2.a', 'trace_display': [0, 6, 2, -6], 'traces': [6, 0, 6, 0, 2, 0, -6, 0, 6, 0, 0, 0, -5, 0, 2, 0, 0, 0, -1, 0, -6, 0, 3, 0, 10, 0, 6, 0, 12, 0, -5, 0, 0, 0, -2, 0, -2, 0, -5, 0, 9, 0, 2, 0, 2, 0, -8, 0, 6, 0, 0, 0, 14, 0, -11, 0, -1, 0, 11, 0, 7, 0, -6, 0, -17, 0, -25, 0, 3, 0, -26, 0, 9, 0, 10, 0, 0, 0, 8, 0, 6, 0, -18, 0, 0, 0, 12, 0, 3, 0, 5, 0, -5, 0, -33, 0, 33, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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label 48552.2.a.cr does not appear in mf_hecke_nf
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mf_newspaces • Show schema
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{'ALdims': [46, 56, 53, 48, 53, 48, 46, 56, 50, 52, 50, 52, 50, 52, 50, 52], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18], 'ALdims_old': [540, 564, 559, 547, 550, 556, 566, 537, 571, 534, 544, 559, 553, 550, 544, 561], 'Nk2': 194208, 'analytic_conductor': 387.6896718937205, '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': [48552, 1, [36415, 24277, 32369, 34681, 34105], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 9649, 'dim': 814, 'eis_dim': 287, 'eis_new_dim': 0, 'hecke_orbit_code': 33602984, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 6, 10, 10, 12, 12, 14, 14, 14, 14, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 18, 24, 24, 28, 28, 28, 28, 32, 32], 'label': '48552.2.a', 'level': 48552, '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, 17], 'level_radical': 714, 'mf_dim': 9936, 'mf_new_dim': 814, 'num_forms': 103, 'plus_dim': 392, 'prim_orbit_index': 1, 'relative_dim': 814, 'sturm_bound': 19584, 'trace_display': [0, 0, -4, 0], 'traces': [814, 0, 0, 0, -4, 0, 0, 0, 814, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, 2, 0, -8, 0, 818, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, -4, 0, 8, 0, -4, 0, -8, 0, -4, 0, -48, 0, 814, 0, 0, 0, -12, 0, -32, 0, 0, 0, -32, 0, -4, 0, 0, 0, -8, 0, -40, 0, 0, 0, -40, 0, -20, 0, 0, 0, 0, 0, -16, 0, 814, 0, -32, 0, 0, 0, -32, 0, 44, 0, 16, 0, -16, 0, 16, 0, 28, 0, 0, 0, -20, 0, -32, 0, -4, 0, 16, 0, -52, 0, 16, 0, -4, 0, -16, 0, -4, 0, 0, 0, 806, 0, -24, 0, -24, 0, -16, 0, -16, 0, -16, 0, -16, 0, 0, 0, 28, 0, -64, 0, -16, 0, -48, 0, -72, 0, 0, 0, 4, 0, -16, 0, 0, 0, 48, 0, 28, 0, -32, 0, 0, 0, 16, 0, -16, 0, -32, 0, 786, 0, 0, 0, -4, 0, 0, 0, -32, 0, 16, 0, -84, 0, 8, 0, 104, 0, 0, 0, 2, 0, -8, 0, 28, 0, -16, 0, -28, 0, 0, 0, -48, 0, 16, 0, -24, 0, -8, 0, 64, 0, 16, 0, -32, 0, 16, 0, 0, 0, -32, 0, 0, 0, -112, 0, 818, 0, 80, 0, 12, 0, 0, 0, 92, 0, -16, 0, 32, 0, 8, 0, 12, 0, 0, 0, -4, 0, 64, 0, -32, 0, 0, 0, -64, 0, 0, 0, 44, 0, -32, 0, 4, 0, -72, 0, 24, 0, 16, 0, 44, 0, 80, 0, 4, 0, 80, 0, -20, 0, 0, 0, 12, 0, -16, 0, -64, 0, 40, 0, 0, 0, -48, 0, -612, 0, -80, 0, 0, 0, 80, 0, -16, 0, 16, 0, -504, 0, -48, 0, -8, 0, 64, 0, 12, 0, 0, 0, 36, 0, -16, 0, 16, 0, 0, 0, -588, 0, -16, 0, -32, 0, -8, 0, -4, 0, -32, 0, -68, 0, -32, 0, -112, 0, 0, 0, -64, 0, -48, 0, -52, 0, 8, 0, -436, 0, 32, 0, 0, 0, 40, 0, 822, 0, -96, 0, -8, 0, -32, 0, -4, 0, 16, 0, -44, 0, 0, 0, 120, 0, 48, 0, -48, 0, 96, 0, -16, 0, -8, 0, -588, 0, 0, 0, 8, 0, 0, 0, 28, 0, 0, 0, -36, 0, -128, 0, -4, 0, 208, 0, 12, 0, 32, 0, 40, 0, 96, 0, -8, 0, 32, 0, -44, 0, -48, 0, 0, 0, -8, 0, 32, 0, 40, 0, -548, 0, -64, 0, 112, 0, 96, 0, 814, 0, 96, 0, 88, 0, 16, 0, -148, 0, -32, 0, 0, 0, -16, 0, 92, 0, 0, 0, 44, 0, 16, 0, 64, 0, 144, 0, 16, 0, 72, 0, 32, 0, -240, 0, -12, 0, 144, 0, -40, 0, 16, 0, -488, 0, 48, 0, -80, 0, 48, 0, 0, 0, -32, 0, -16, 0, 112, 0, 16, 0, 144, 0, -120, 0, -32, 0, -164, 0, 0, 0, 0, 0, -64, 0, 144, 0, 32, 0, 124, 0, 48, 0, -2, 0, 0, 0, 910, 0, -32, 0, -104, 0, 240, 0, 128, 0, 0, 0, -84, 0, -88, 0, -520, 0, 96, 0, -4, 0, 48, 0, 16, 0, 16, 0, 100, 0, 32, 0, 0, 0, 240, 0, 8, 0, 0, 0, 76, 0, 96, 0, 32, 0, 232, 0, 92, 0, 0, 0, 8, 0, 32, 0, -8, 0, 32, 0, 128, 0, 128, 0, -68, 0, 0, 0, 32, 0, 136, 0, 124, 0, -40, 0, -84, 0, 192, 0, -20, 0, 224, 0, -492, 0, -112, 0, 188, 0, -96, 0, 0, 0, 8, 0, 822, 0, 0, 0, 0, 0, -64, 0, -32, 0, 272, 0, -4, 0, -40, 0, -20, 0, -144, 0, 80, 0, 256, 0, -48, 0, 16, 0, 20, 0, 48, 0, -20, 0, -64, 0, 204, 0, 0, 0, -80, 0, 0, 0, 72, 0, 64, 0, 76, 0, 0, 0, -36, 0, 48, 0, 88, 0, -176, 0, 40, 0, 40, 0, -504, 0, -16, 0, 0, 0, 240, 0, 0, 0, -32, 0, -124, 0, -144, 0, -16, 0, -16, 0, -116, 0, -16, 0, 80, 0, 96, 0, 48, 0, -112, 0, -32, 0, -32, 0, -20, 0, 48, 0, 814, 0, 0, 0, -52, 0, 0, 0, -112, 0, -104, 0, 80, 0, -88, 0, 120, 0, -32, 0, 16, 0, 128, 0, -64, 0, -176, 0, 68, 0, 16, 0, 188, 0, 16, 0, 0, 0, 160, 0, -132, 0, -32, 0, -500, 0, -176, 0, -20, 0, 80, 0, 192, 0, -32, 0, -56, 0, 144, 0, 80, 0, -64, 0, 8, 0, 0, 0, 60, 0, 0, 0, 44, 0, 32, 0, -16, 0, 160, 0, 44, 0, -48, 0, -88, 0, -64, 0, 160, 0, 16, 0, 20, 0, 16, 0, -48, 0, -16, 0, -116, 0, -16, 0, 0, 0, 112, 0, -16, 0, -160, 0, 834, 0, 16, 0, -76, 0, 96, 0, 8, 0, -224, 0, 204, 0, 16, 0, 300, 0, -208, 0, 12, 0, -72, 0, -632, 0, 0, 0, -144, 0, 64, 0, 28, 0, 0, 0, 76, 0, 48, 0, 396, 0, -120, 0, 64, 0, 192, 0, 0, 0, 0, 0, 16, 0, 80, 0, -32, 0, 0, 0, 0, 0, -8, 0, 120, 0, -112, 0, -20, 0, 40, 0, 48, 0, 96, 0, -88, 0, -48, 0, 0, 0, -160, 0, -140, 0, -32, 0, 204, 0, 0, 0, 16, 0, 0, 0, 172, 0, -64, 0, -52, 0, -48, 0, -4, 0, -32, 0, 120, 0, -128, 0, -4, 0, 32, 0, -96, 0, -16, 0, 910, 0, 16, 0, -408, 0, 112, 0, 0, 0, 96, 0, 24, 0, -40, 0, 60, 0, -176, 0, -52, 0, 16, 0, 56, 0, 0, 0, -208, 0, -208, 0, 16, 0, -176, 0, 156, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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source_label 48552.2.a.cr does not appear in mf_twists_nf
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hecke_orbit_code 310748374322167208 does not appear in mf_hecke_charpolys
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label 48552.2.a.cr does not appear in mf_newform_portraits
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mf_hecke_traces • Show schema
Hide schema
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id: 177918542
{'hecke_orbit_code': 310748374322167208, 'n': 1, 'trace_an': 6}
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id: 177918543
{'hecke_orbit_code': 310748374322167208, 'n': 2, 'trace_an': 0}
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id: 177918544
{'hecke_orbit_code': 310748374322167208, 'n': 3, 'trace_an': 6}
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id: 177918545
{'hecke_orbit_code': 310748374322167208, 'n': 4, 'trace_an': 0}
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id: 177918546
{'hecke_orbit_code': 310748374322167208, 'n': 5, 'trace_an': 2}
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id: 177918547
{'hecke_orbit_code': 310748374322167208, 'n': 6, 'trace_an': 0}
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id: 177918548
{'hecke_orbit_code': 310748374322167208, 'n': 7, 'trace_an': -6}
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id: 177918549
{'hecke_orbit_code': 310748374322167208, 'n': 8, 'trace_an': 0}
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id: 177918550
{'hecke_orbit_code': 310748374322167208, 'n': 9, 'trace_an': 6}
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id: 177918551
{'hecke_orbit_code': 310748374322167208, 'n': 10, 'trace_an': 0}
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id: 177918552
{'hecke_orbit_code': 310748374322167208, 'n': 11, 'trace_an': 0}
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id: 177918553
{'hecke_orbit_code': 310748374322167208, 'n': 12, 'trace_an': 0}
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id: 177918554
{'hecke_orbit_code': 310748374322167208, 'n': 13, 'trace_an': -5}
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id: 177918555
{'hecke_orbit_code': 310748374322167208, 'n': 14, 'trace_an': 0}
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id: 177918556
{'hecke_orbit_code': 310748374322167208, 'n': 15, 'trace_an': 2}
-
id: 177918557
{'hecke_orbit_code': 310748374322167208, 'n': 16, 'trace_an': 0}
-
id: 177918558
{'hecke_orbit_code': 310748374322167208, 'n': 17, 'trace_an': 0}
-
id: 177918559
{'hecke_orbit_code': 310748374322167208, 'n': 18, 'trace_an': 0}
-
id: 177918560
{'hecke_orbit_code': 310748374322167208, 'n': 19, 'trace_an': -1}
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id: 177918561
{'hecke_orbit_code': 310748374322167208, 'n': 20, 'trace_an': 0}
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id: 177918562
{'hecke_orbit_code': 310748374322167208, 'n': 21, 'trace_an': -6}
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id: 177918563
{'hecke_orbit_code': 310748374322167208, 'n': 22, 'trace_an': 0}
-
id: 177918564
{'hecke_orbit_code': 310748374322167208, 'n': 23, 'trace_an': 3}
-
id: 177918565
{'hecke_orbit_code': 310748374322167208, 'n': 24, 'trace_an': 0}
-
id: 177918566
{'hecke_orbit_code': 310748374322167208, 'n': 25, 'trace_an': 10}
-
id: 177918567
{'hecke_orbit_code': 310748374322167208, 'n': 26, 'trace_an': 0}
-
id: 177918568
{'hecke_orbit_code': 310748374322167208, 'n': 27, 'trace_an': 6}
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id: 177918569
{'hecke_orbit_code': 310748374322167208, 'n': 28, 'trace_an': 0}
-
id: 177918570
{'hecke_orbit_code': 310748374322167208, 'n': 29, 'trace_an': 12}
-
id: 177918571
{'hecke_orbit_code': 310748374322167208, 'n': 30, 'trace_an': 0}
-
id: 177918572
{'hecke_orbit_code': 310748374322167208, 'n': 31, 'trace_an': -5}
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id: 177918573
{'hecke_orbit_code': 310748374322167208, 'n': 32, 'trace_an': 0}
-
id: 177918574
{'hecke_orbit_code': 310748374322167208, 'n': 33, 'trace_an': 0}
-
id: 177918575
{'hecke_orbit_code': 310748374322167208, 'n': 34, 'trace_an': 0}
-
id: 177918576
{'hecke_orbit_code': 310748374322167208, 'n': 35, 'trace_an': -2}
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id: 177918577
{'hecke_orbit_code': 310748374322167208, 'n': 36, 'trace_an': 0}
-
id: 177918578
{'hecke_orbit_code': 310748374322167208, 'n': 37, 'trace_an': -2}
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id: 177918579
{'hecke_orbit_code': 310748374322167208, 'n': 38, 'trace_an': 0}
-
id: 177918580
{'hecke_orbit_code': 310748374322167208, 'n': 39, 'trace_an': -5}
-
id: 177918581
{'hecke_orbit_code': 310748374322167208, 'n': 40, 'trace_an': 0}
-
id: 177918582
{'hecke_orbit_code': 310748374322167208, 'n': 41, 'trace_an': 9}
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id: 177918583
{'hecke_orbit_code': 310748374322167208, 'n': 42, 'trace_an': 0}
-
id: 177918584
{'hecke_orbit_code': 310748374322167208, 'n': 43, 'trace_an': 2}
-
id: 177918585
{'hecke_orbit_code': 310748374322167208, 'n': 44, 'trace_an': 0}
-
id: 177918586
{'hecke_orbit_code': 310748374322167208, 'n': 45, 'trace_an': 2}
-
id: 177918587
{'hecke_orbit_code': 310748374322167208, 'n': 46, 'trace_an': 0}
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id: 177918588
{'hecke_orbit_code': 310748374322167208, 'n': 47, 'trace_an': -8}
-
id: 177918589
{'hecke_orbit_code': 310748374322167208, 'n': 48, 'trace_an': 0}
-
id: 177918590
{'hecke_orbit_code': 310748374322167208, 'n': 49, 'trace_an': 6}
-
id: 177918591
{'hecke_orbit_code': 310748374322167208, 'n': 50, 'trace_an': 0}
-
id: 177918592
{'hecke_orbit_code': 310748374322167208, 'n': 51, 'trace_an': 0}
-
id: 177918593
{'hecke_orbit_code': 310748374322167208, 'n': 52, 'trace_an': 0}
-
id: 177918594
{'hecke_orbit_code': 310748374322167208, 'n': 53, 'trace_an': 14}
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id: 177918595
{'hecke_orbit_code': 310748374322167208, 'n': 54, 'trace_an': 0}
-
id: 177918596
{'hecke_orbit_code': 310748374322167208, 'n': 55, 'trace_an': -11}
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id: 177918597
{'hecke_orbit_code': 310748374322167208, 'n': 56, 'trace_an': 0}
-
id: 177918598
{'hecke_orbit_code': 310748374322167208, 'n': 57, 'trace_an': -1}
-
id: 177918599
{'hecke_orbit_code': 310748374322167208, 'n': 58, 'trace_an': 0}
-
id: 177918600
{'hecke_orbit_code': 310748374322167208, 'n': 59, 'trace_an': 11}
-
id: 177918601
{'hecke_orbit_code': 310748374322167208, 'n': 60, 'trace_an': 0}
-
id: 177918602
{'hecke_orbit_code': 310748374322167208, 'n': 61, 'trace_an': 7}
-
id: 177918603
{'hecke_orbit_code': 310748374322167208, 'n': 62, 'trace_an': 0}
-
id: 177918604
{'hecke_orbit_code': 310748374322167208, 'n': 63, 'trace_an': -6}
-
id: 177918605
{'hecke_orbit_code': 310748374322167208, 'n': 64, 'trace_an': 0}
-
id: 177918606
{'hecke_orbit_code': 310748374322167208, 'n': 65, 'trace_an': -17}
-
id: 177918607
{'hecke_orbit_code': 310748374322167208, 'n': 66, 'trace_an': 0}
-
id: 177918608
{'hecke_orbit_code': 310748374322167208, 'n': 67, 'trace_an': -25}
-
id: 177918609
{'hecke_orbit_code': 310748374322167208, 'n': 68, 'trace_an': 0}
-
id: 177918610
{'hecke_orbit_code': 310748374322167208, 'n': 69, 'trace_an': 3}
-
id: 177918611
{'hecke_orbit_code': 310748374322167208, 'n': 70, 'trace_an': 0}
-
id: 177918612
{'hecke_orbit_code': 310748374322167208, 'n': 71, 'trace_an': -26}
-
id: 177918613
{'hecke_orbit_code': 310748374322167208, 'n': 72, 'trace_an': 0}
-
id: 177918614
{'hecke_orbit_code': 310748374322167208, 'n': 73, 'trace_an': 9}
-
id: 177918615
{'hecke_orbit_code': 310748374322167208, 'n': 74, 'trace_an': 0}
-
id: 177918616
{'hecke_orbit_code': 310748374322167208, 'n': 75, 'trace_an': 10}
-
id: 177918617
{'hecke_orbit_code': 310748374322167208, 'n': 76, 'trace_an': 0}
-
id: 177918618
{'hecke_orbit_code': 310748374322167208, 'n': 77, 'trace_an': 0}
-
id: 177918619
{'hecke_orbit_code': 310748374322167208, 'n': 78, 'trace_an': 0}
-
id: 177918620
{'hecke_orbit_code': 310748374322167208, 'n': 79, 'trace_an': 8}
-
id: 177918621
{'hecke_orbit_code': 310748374322167208, 'n': 80, 'trace_an': 0}
-
id: 177918622
{'hecke_orbit_code': 310748374322167208, 'n': 81, 'trace_an': 6}
-
id: 177918623
{'hecke_orbit_code': 310748374322167208, 'n': 82, 'trace_an': 0}
-
id: 177918624
{'hecke_orbit_code': 310748374322167208, 'n': 83, 'trace_an': -18}
-
id: 177918625
{'hecke_orbit_code': 310748374322167208, 'n': 84, 'trace_an': 0}
-
id: 177918626
{'hecke_orbit_code': 310748374322167208, 'n': 85, 'trace_an': 0}
-
id: 177918627
{'hecke_orbit_code': 310748374322167208, 'n': 86, 'trace_an': 0}
-
id: 177918628
{'hecke_orbit_code': 310748374322167208, 'n': 87, 'trace_an': 12}
-
id: 177918629
{'hecke_orbit_code': 310748374322167208, 'n': 88, 'trace_an': 0}
-
id: 177918630
{'hecke_orbit_code': 310748374322167208, 'n': 89, 'trace_an': 3}
-
id: 177918631
{'hecke_orbit_code': 310748374322167208, 'n': 90, 'trace_an': 0}
-
id: 177918632
{'hecke_orbit_code': 310748374322167208, 'n': 91, 'trace_an': 5}
-
id: 177918633
{'hecke_orbit_code': 310748374322167208, 'n': 92, 'trace_an': 0}
-
id: 177918634
{'hecke_orbit_code': 310748374322167208, 'n': 93, 'trace_an': -5}
-
id: 177918635
{'hecke_orbit_code': 310748374322167208, 'n': 94, 'trace_an': 0}
-
id: 177918636
{'hecke_orbit_code': 310748374322167208, 'n': 95, 'trace_an': -33}
-
id: 177918637
{'hecke_orbit_code': 310748374322167208, 'n': 96, 'trace_an': 0}
-
id: 177918638
{'hecke_orbit_code': 310748374322167208, 'n': 97, 'trace_an': 33}
-
id: 177918639
{'hecke_orbit_code': 310748374322167208, 'n': 98, 'trace_an': 0}
-
id: 177918640
{'hecke_orbit_code': 310748374322167208, 'n': 99, 'trace_an': 0}
-
id: 177918641
{'hecke_orbit_code': 310748374322167208, 'n': 100, 'trace_an': 0}