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mf_newforms • Show schema
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{'Nk2': 469, 'analytic_conductor': 0.23406149092487813, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 469, 'char_degree': 20, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 38, 'char_orbit_label': 'bl', 'char_order': 66, 'char_parity': -1, 'char_values': [469, 66, [269, 337], [33, 40]], 'cm_discs': [-7], 'conrey_index': 6, 'conrey_indexes': [6, 55, 83, 90, 132, 153, 160, 167, 181, 188, 237, 272, 307, 328, 356, 370, 384, 391, 412, 419], 'dim': 20, 'field_disc': 328307557444402776721569, 'field_disc_factorization': [[3, 10], [11, 18]], 'field_poly': [1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 33, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 2542637416917, 'hecke_ring_generator_nbound': 4, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 1, 67, 7, 1, 33, 0], [1, 1, 469, 38, -1, 66, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '469.1.bl.a', 'level': 469, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [7, 67], 'level_radical': 469, 'minimal_twist': '469.1.bl.a', 'nf_label': '20.0.328307557444402776721569.1', 'prim_orbit_index': 38, 'projective_field': [-949645020625, 1158676981000, -15577296576975, 42993175789690, -38757117930433, 4186695862153, 18292007400149, -4173215842621, -6570108895535, 6676007297865, 467466937976, -1509296625156, 534410003069, 333939398789, -175533045311, -18822977832, 45599169310, -1344040451, -5427283462, 876811686, 523718861, -76295659, -18255887, 5432424, -343780, 85863, 163085, -16363, -12039, 748, 368, -20, -3, 1], 'projective_image': 'D33', 'projective_image_type': 'Dn', 'qexp_display': 'q+(\\zeta_{66}^{10}+\\zeta_{66}^{16})q^{2}+(\\zeta_{66}^{20}+\\zeta_{66}^{26}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'self_twist_discs': [-7], 'self_twist_type': 1, 'space_label': '469.1.bl', 'trace_display': [2, 0, 0, 1], 'trace_hash': 689450786270063771, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.054', 'prec': 20}, {'__RealLiteral__': 0, 'data': '20.391', 'prec': 20}, {'__RealLiteral__': 0, 'data': '141.191', 'prec': 24}, {'__RealLiteral__': 0, 'data': '5709.605', 'prec': 27}, {'__RealLiteral__': 0, 'data': '75053.525', 'prec': 30}, {'__RealLiteral__': 0, 'data': '2116626.500', 'prec': 37}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.505', 'prec': 17}, 'traces': [20, 2, 0, 3, 0, 0, 1, -8, -2, 0, -1, 0, 0, -4, 0, 5, 0, 2, 0, 0, 0, -7, -1, 0, -2, 0, 0, -8, -1, 0, 0, 6, 0, 0, 0, -8, -1, 0, 0, 0, 0, 0, -9, -3, 0, -13, 0, 0, 1, 2, 0, 0, 2, 0, 0, -7, 0, 4, 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 469, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.23406149092487813, 'char_conductor': 469, 'char_degree': 20, 'char_is_real': False, 'char_orbit_index': 38, 'char_orbit_label': 'bl', 'char_order': 66, 'char_parity': -1, 'char_values': [469, 66, [269, 337], [33, 40]], 'conrey_index': 6, 'cusp_dim': 20, 'dihedral_dim': 20, 'dim': 20, 'eis_dim': 40, 'eis_new_dim': 40, 'hecke_orbit_code': 2542637416917, 'hecke_orbit_dims': [20], 'label': '469.1.bl', 'level': 469, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [7, 67], 'level_radical': 469, 'mf_dim': 60, 'mf_new_dim': 60, 'num_forms': 1, 'prim_orbit_index': 38, 'relative_dim': 1, 's4_dim': 0, 'sturm_bound': 45, 'trace_bound': 0, 'trace_display': [2, 0, 0, 1], 'traces': [20, 2, 0, 3, 0, 0, 1, -8, -2, 0, -1, 0, 0, -4, 0, 5, 0, 2, 0, 0, 0, -7, -1, 0, -2, 0, 0, -8, -1, 0, 0, 6, 0, 0, 0, -8, -1, 0, 0, 0, 0, 0, -9, -3, 0, -13, 0, 0, 1, 2, 0, 0, 2, 0, 0, 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mf_twists_cc • Show schema
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id: 25890905
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 83, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2542637416917, 'target_is_minimal': True, 'target_label': '469.1.bl.a.83.1', 'target_level': 469, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 1}
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id: 25890906
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 619, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588000979, 'target_is_minimal': False, 'target_label': '3283.1.cd.a.619.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 1}
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id: 25890907
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 2763, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551663827, 'target_is_minimal': False, 'target_label': '3283.1.bw.a.2763.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 1}
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id: 25890908
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 2763, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551663827, 'target_is_minimal': False, 'target_label': '3283.1.bw.a.2763.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 1}
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id: 25890909
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 619, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588000979, 'target_is_minimal': False, 'target_label': '3283.1.cd.a.619.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 1}
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id: 25890910
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 83, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2542637416917, 'target_is_minimal': True, 'target_label': '469.1.bl.a.83.1', 'target_level': 469, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 1}
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id: 25890911
{'conductor': 67, 'degree': 20, 'order': 33, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 356, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2542637416917, 'target_is_minimal': True, 'target_label': '469.1.bl.a.356.1', 'target_level': 469, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '67.21', 'twisting_conrey_index': 21, 'weight': 1}
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id: 25890912
{'conductor': 469, 'degree': 20, 'order': 33, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 2567, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588000979, 'target_is_minimal': False, 'target_label': '3283.1.cd.a.2567.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '469.88', 'twisting_conrey_index': 88, 'weight': 1}
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id: 25890913
{'conductor': 469, 'degree': 20, 'order': 66, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 423, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551663827, 'target_is_minimal': False, 'target_label': '3283.1.bw.a.423.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '469.222', 'twisting_conrey_index': 222, 'weight': 1}
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id: 25890914
{'conductor': 469, 'degree': 20, 'order': 33, 'parity': 1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 423, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3298551663827, 'target_is_minimal': False, 'target_label': '3283.1.bw.a.423.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '469.289', 'twisting_conrey_index': 289, 'weight': 1}
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id: 25890915
{'conductor': 469, 'degree': 20, 'order': 66, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 356, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2542637416917, 'target_is_minimal': True, 'target_label': '469.1.bl.a.356.1', 'target_level': 469, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '469.356', 'twisting_conrey_index': 356, 'weight': 1}
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id: 25890916
{'conductor': 469, 'degree': 20, 'order': 66, 'parity': -1, 'source_conrey_index': 83, 'source_dim': 20, 'source_embedding_index': 1, 'source_hecke_orbit_code': 2542637416917, 'source_is_minimal': True, 'source_label': '469.1.bl.a.83.1', 'source_level': 469, 'target_conrey_index': 2567, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 3779588000979, 'target_is_minimal': False, 'target_label': '3283.1.cd.a.2567.1', 'target_level': 3283, 'twist_class_label': '469.1.bl.a.83.1', 'twist_class_level': 469, 'twisting_char_label': '469.423', 'twisting_conrey_index': 423, 'weight': 1}
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mf_hecke_charpolys • Show schema
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id: 936600
{'charpoly_factorization': [[[1, -6, 11, -48, 266, -671, 1116, -1207, 869, -284, -45, 94, -33, -29, 42, 0, -16, 8, 0, -2, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 2}
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id: 936601
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 3}
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id: 936602
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 5}
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id: 936603
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 7}
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id: 936604
{'charpoly_factorization': [[[1, 12, 154, 626, 934, 253, -560, -87, 605, -155, 87, 241, 11, 89, 78, 0, 10, 10, 0, 1, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 11}
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id: 936605
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 13}
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id: 936606
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 17}
-
id: 936607
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 19}
-
id: 936608
{'charpoly_factorization': [[[1, -10, 88, 197, 384, 792, 188, -1451, -792, 417, 483, 65, 88, 34, -43, -44, -1, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 23}
-
id: 936609
{'charpoly_factorization': [[[1, 12, 132, 230, 703, 550, 2025, 1431, 2673, 1220, 1935, 714, 968, 254, 320, 66, 76, 10, 11, 1, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 29}
-
id: 936610
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 31}
-
id: 936611
{'charpoly_factorization': [[[1, 12, 132, 230, 703, 550, 2025, 1431, 2673, 1220, 1935, 714, 968, 254, 320, 66, 76, 10, 11, 1, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 37}
-
id: 936612
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 41}
-
id: 936613
{'charpoly_factorization': [[[1, -13, 36, 381, 742, 874, 1965, 3578, 5069, 6194, 6633, 6194, 5047, 3567, 2174, 1127, 489, 172, 47, 9, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 43}
-
id: 936614
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 47}
-
id: 936615
{'charpoly_factorization': [[[1, 9, 58, -367, 1171, -2129, 2119, -1383, 779, 67, -66, 67, 185, -118, 51, 27, -17, 7, 3, -2, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 53}
-
id: 936616
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 59}
-
id: 936617
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 61}
-
id: 936618
{'charpoly_factorization': [[[1, -1, 0, 1, -1, 0, 1, -1, 0, 1, -1, 1, 0, -1, 1, 0, -1, 1, 0, -1, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 67}
-
id: 936619
{'charpoly_factorization': [[[1, -10, 143, -595, 835, -22, -395, -274, -121, 32, 395, 362, 77, -10, 12, 22, 10, -1, 0, 1, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 71}
-
id: 936620
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 73}
-
id: 936621
{'charpoly_factorization': [[[1, 5, 11, 62, 178, 77, 49, -19, -154, -130, 164, -49, 11, -40, 42, -11, -5, 8, 0, -2, 1], 1]], 'hecke_orbit_code': 2542637416917, 'p': 79}
-
id: 936622
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 83}
-
id: 936623
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 89}
-
id: 936624
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 2542637416917, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 38, 'hecke_orbit': 1, 'label': '469.1.bl.a', 'level': 469, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 56242000
{'hecke_orbit_code': 2542637416917, 'n': 1, 'trace_an': 20}
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id: 56242001
{'hecke_orbit_code': 2542637416917, 'n': 2, 'trace_an': 2}
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id: 56242002
{'hecke_orbit_code': 2542637416917, 'n': 3, 'trace_an': 0}
-
id: 56242003
{'hecke_orbit_code': 2542637416917, 'n': 4, 'trace_an': 3}
-
id: 56242004
{'hecke_orbit_code': 2542637416917, 'n': 5, 'trace_an': 0}
-
id: 56242005
{'hecke_orbit_code': 2542637416917, 'n': 6, 'trace_an': 0}
-
id: 56242006
{'hecke_orbit_code': 2542637416917, 'n': 7, 'trace_an': 1}
-
id: 56242007
{'hecke_orbit_code': 2542637416917, 'n': 8, 'trace_an': -8}
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id: 56242008
{'hecke_orbit_code': 2542637416917, 'n': 9, 'trace_an': -2}
-
id: 56242009
{'hecke_orbit_code': 2542637416917, 'n': 10, 'trace_an': 0}
-
id: 56242010
{'hecke_orbit_code': 2542637416917, 'n': 11, 'trace_an': -1}
-
id: 56242011
{'hecke_orbit_code': 2542637416917, 'n': 12, 'trace_an': 0}
-
id: 56242012
{'hecke_orbit_code': 2542637416917, 'n': 13, 'trace_an': 0}
-
id: 56242013
{'hecke_orbit_code': 2542637416917, 'n': 14, 'trace_an': -4}
-
id: 56242014
{'hecke_orbit_code': 2542637416917, 'n': 15, 'trace_an': 0}
-
id: 56242015
{'hecke_orbit_code': 2542637416917, 'n': 16, 'trace_an': 5}
-
id: 56242016
{'hecke_orbit_code': 2542637416917, 'n': 17, 'trace_an': 0}
-
id: 56242017
{'hecke_orbit_code': 2542637416917, 'n': 18, 'trace_an': 2}
-
id: 56242018
{'hecke_orbit_code': 2542637416917, 'n': 19, 'trace_an': 0}
-
id: 56242019
{'hecke_orbit_code': 2542637416917, 'n': 20, 'trace_an': 0}
-
id: 56242020
{'hecke_orbit_code': 2542637416917, 'n': 21, 'trace_an': 0}
-
id: 56242021
{'hecke_orbit_code': 2542637416917, 'n': 22, 'trace_an': -7}
-
id: 56242022
{'hecke_orbit_code': 2542637416917, 'n': 23, 'trace_an': -1}
-
id: 56242023
{'hecke_orbit_code': 2542637416917, 'n': 24, 'trace_an': 0}
-
id: 56242024
{'hecke_orbit_code': 2542637416917, 'n': 25, 'trace_an': -2}
-
id: 56242025
{'hecke_orbit_code': 2542637416917, 'n': 26, 'trace_an': 0}
-
id: 56242026
{'hecke_orbit_code': 2542637416917, 'n': 27, 'trace_an': 0}
-
id: 56242027
{'hecke_orbit_code': 2542637416917, 'n': 28, 'trace_an': -8}
-
id: 56242028
{'hecke_orbit_code': 2542637416917, 'n': 29, 'trace_an': -1}
-
id: 56242029
{'hecke_orbit_code': 2542637416917, 'n': 30, 'trace_an': 0}
-
id: 56242030
{'hecke_orbit_code': 2542637416917, 'n': 31, 'trace_an': 0}
-
id: 56242031
{'hecke_orbit_code': 2542637416917, 'n': 32, 'trace_an': 6}
-
id: 56242032
{'hecke_orbit_code': 2542637416917, 'n': 33, 'trace_an': 0}
-
id: 56242033
{'hecke_orbit_code': 2542637416917, 'n': 34, 'trace_an': 0}
-
id: 56242034
{'hecke_orbit_code': 2542637416917, 'n': 35, 'trace_an': 0}
-
id: 56242035
{'hecke_orbit_code': 2542637416917, 'n': 36, 'trace_an': -8}
-
id: 56242036
{'hecke_orbit_code': 2542637416917, 'n': 37, 'trace_an': -1}
-
id: 56242037
{'hecke_orbit_code': 2542637416917, 'n': 38, 'trace_an': 0}
-
id: 56242038
{'hecke_orbit_code': 2542637416917, 'n': 39, 'trace_an': 0}
-
id: 56242039
{'hecke_orbit_code': 2542637416917, 'n': 40, 'trace_an': 0}
-
id: 56242040
{'hecke_orbit_code': 2542637416917, 'n': 41, 'trace_an': 0}
-
id: 56242041
{'hecke_orbit_code': 2542637416917, 'n': 42, 'trace_an': 0}
-
id: 56242042
{'hecke_orbit_code': 2542637416917, 'n': 43, 'trace_an': -9}
-
id: 56242043
{'hecke_orbit_code': 2542637416917, 'n': 44, 'trace_an': -3}
-
id: 56242044
{'hecke_orbit_code': 2542637416917, 'n': 45, 'trace_an': 0}
-
id: 56242045
{'hecke_orbit_code': 2542637416917, 'n': 46, 'trace_an': -13}
-
id: 56242046
{'hecke_orbit_code': 2542637416917, 'n': 47, 'trace_an': 0}
-
id: 56242047
{'hecke_orbit_code': 2542637416917, 'n': 48, 'trace_an': 0}
-
id: 56242048
{'hecke_orbit_code': 2542637416917, 'n': 49, 'trace_an': 1}
-
id: 56242049
{'hecke_orbit_code': 2542637416917, 'n': 50, 'trace_an': 2}
-
id: 56242050
{'hecke_orbit_code': 2542637416917, 'n': 51, 'trace_an': 0}
-
id: 56242051
{'hecke_orbit_code': 2542637416917, 'n': 52, 'trace_an': 0}
-
id: 56242052
{'hecke_orbit_code': 2542637416917, 'n': 53, 'trace_an': 2}
-
id: 56242053
{'hecke_orbit_code': 2542637416917, 'n': 54, 'trace_an': 0}
-
id: 56242054
{'hecke_orbit_code': 2542637416917, 'n': 55, 'trace_an': 0}
-
id: 56242055
{'hecke_orbit_code': 2542637416917, 'n': 56, 'trace_an': -7}
-
id: 56242056
{'hecke_orbit_code': 2542637416917, 'n': 57, 'trace_an': 0}
-
id: 56242057
{'hecke_orbit_code': 2542637416917, 'n': 58, 'trace_an': 4}
-
id: 56242058
{'hecke_orbit_code': 2542637416917, 'n': 59, 'trace_an': 0}
-
id: 56242059
{'hecke_orbit_code': 2542637416917, 'n': 60, 'trace_an': 0}
-
id: 56242060
{'hecke_orbit_code': 2542637416917, 'n': 61, 'trace_an': 0}
-
id: 56242061
{'hecke_orbit_code': 2542637416917, 'n': 62, 'trace_an': 0}
-
id: 56242062
{'hecke_orbit_code': 2542637416917, 'n': 63, 'trace_an': 1}
-
id: 56242063
{'hecke_orbit_code': 2542637416917, 'n': 64, 'trace_an': 8}
-
id: 56242064
{'hecke_orbit_code': 2542637416917, 'n': 65, 'trace_an': 0}
-
id: 56242065
{'hecke_orbit_code': 2542637416917, 'n': 66, 'trace_an': 0}
-
id: 56242066
{'hecke_orbit_code': 2542637416917, 'n': 67, 'trace_an': 1}
-
id: 56242067
{'hecke_orbit_code': 2542637416917, 'n': 68, 'trace_an': 0}
-
id: 56242068
{'hecke_orbit_code': 2542637416917, 'n': 69, 'trace_an': 0}
-
id: 56242069
{'hecke_orbit_code': 2542637416917, 'n': 70, 'trace_an': 0}
-
id: 56242070
{'hecke_orbit_code': 2542637416917, 'n': 71, 'trace_an': -1}
-
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id: 56242952
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id: 56242954
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id: 56242989
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id: 56242990
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id: 56242992
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id: 56242998
{'hecke_orbit_code': 2542637416917, 'n': 999, 'trace_an': 0}
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id: 56242999
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