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mf_newforms • Show schema
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{'Nk2': 16384, 'analytic_conductor': 79.97056652393518, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [256, 2, [255, 5], [2, 1]], 'cm_discs': [-4], 'conrey_index': 129, 'dim': 2, 'field_disc': -4, 'field_disc_factorization': [[-1, 1], [2, 2]], 'field_poly': [1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 4, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]], [7, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13510867735806208, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 8, 2, 1, 2, 0], [1, 1, 8, 4, -1, 2, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '256.8.b.d', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'minimal_twist': '32.8.a.a', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+29\\beta q^{5}+2187 q^{9}-4449\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '7.2.1.d2', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '256.8.b', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1908818847467820838, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.912', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '22.818', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 29], [0, 0], [0, 0], [0, 0], [2187, 0], [0, 0], [0, 0], [0, 0], [0, -4449], [0, 0], [0, 0], [0, 0], [-40094, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [74761, 0], [0, 0], [0, 0], [0, 0], [0, 116615], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -281987], [0, 0], [0, 0], [0, 0], [-9530, 0], [0, 0], [0, 0], [0, 0], [0, 63423], [0, 0], [0, 0], [0, 0], [-823543, 0], [0, 0], [0, 0], [0, 0], [0, 399301], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -1752665], [0, 0], [0, 0], [0, 0], [516084, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3917418, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4782969, 0], [0, 0], [0, 0], [0, 0], [0, -1162726], [0, 0], [0, 0], [0, 0], [-9246170, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-17567406, 0], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 29], [0, 0], [0, 0], [0, -4449], [-40094, 0], [0, 0], [0, 0], [0, 116615], [0, 0], [0, -281987], [-9530, 0], [0, 0], [0, 0], [0, 399301], [0, 0], [0, -1752665], [0, 0], [0, 0], [-3917418, 0], [0, 0], [0, 0], [-9246170, 0], [-17567406, 0], [0, -6652099], [0, 0], [0, 0], [0, -12058113], [-29124718, 0], [0, 0], [0, 0], [-46031194, 0], [0, 0], [0, -36578843], [0, 0], [0, -45485737], [0, 0], [0, 0], [0, -32784401], [0, 0], [0, 72930069], [0, 0], [-105243278, 0], [0, -51366307], [0, 0], [0, 0], [0, 0], [0, 0], [0, -108955155], [290324918, 0], [0, 0], [108961410, 0], [0, 0], [-230304254, 0], [0, 0], [0, 39016783], [0, 0], [0, 267560757], [634408870, 0], [0, 0], [0, 293814349], [0, 0], [0, 0], [-525457322, 0], [0, 566436343], [0, 0], [605043954, 0], [0, 0], [0, 752342215], [-1649633182, 0], [0, 0], [0, 0], [0, 519893381], [0, 0], [0, 0], [0, -970811027], [0, -673140113], [-884816798, 0], [-2389678026, 0], [0, 0], [0, -792560595], [0, 0], [-1345964222, 0], [0, 0], [0, 0], [2711110514, 0], [-1022414106, 0], [0, -2038286161], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 2975111015], [2384517542, 0], [0, 0], [0, 3681173559], [0, 0], [0, -1076842993], [0, 0], [-6846174634, 0], [0, 0], [-2652241534, 0], [0, 0], [7087127218, 0], [0, 0], [10549612070, 0], [0, 0], [0, 4753325069], [2167787254, 0], [0, 0], [0, 0], [5923097650, 0], [0, 0], [0, 0], [0, -3984470321], [0, 0], [0, -578711675], [15418194578, 0], [0, -2146430467], [0, 0], [0, 0], [0, 8857066535], [0, -8219171955], [0, 0], [0, 0], [0, 9266055399], [0, 0], [0, 0], [0, 0], [0, -8635427883], [19986080278, 0], [-25220563150, 0], [0, 12768194029], [0, 0], [0, -4765080617], [28456825030, 0], [0, 0], [0, -14400715675], [0, 0], [0, 0], [0, -12972301497], [0, 0], [0, 1160515669], [-21151648394, 0], [0, 0], [0, 0], [0, -2840261537], [-26984994350, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-14341488494, 0], [50348175734, 0], [0, 17490386591], [0, 0], [5276527958, 0], [0, 0], [0, 0], [-36318515806, 0], [0, 0], [0, 0], [0, -7210171363]], 'char_orbit_index': 2, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 13510867735806208, 'hecke_ring_character_values': [[255, [1, 0]], [5, [-1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [0, 1]], 'hecke_ring_numerators': [[1, 0], [0, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '256.8.b.d', 'level': 256, 'maxp': 997, 'weight': 8}
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mf_newspaces • Show schema
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{'Nk2': 16384, 'analytic_conductor': 79.97056652393518, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 2, 'char_orbit_label': 'b', 'char_order': 2, 'char_parity': 1, 'char_values': [256, 2, [255, 5], [2, 1]], 'conrey_index': 129, 'cusp_dim': 212, 'dim': 54, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3, 7], 'hecke_orbit_code': 68853694720, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 6, 6, 8, 8], 'label': '256.8.b', 'level': 256, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2], 'level_radical': 2, 'mf_dim': 236, 'mf_new_dim': 58, 'num_forms': 14, 'prim_orbit_index': 2, 'relative_dim': 54, 'sturm_bound': 256, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [54, 0, 0, 0, 0, 0, 0, 0, -36446, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 0, 0, 0, 0, -718746, 0, 0, 0, 0, 0, 0, 0, -8752, 0, 0, 0, 0, 0, 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0, 0, 0, 0, 0, 0, 84909388112, 0, 0, 0, 0, 0, 0, 0], 'weight': 8, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 205459
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '32.8.a.a', 'target_level': 32, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 205460
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '32.8.a.a', 'target_level': 32, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 8}
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id: 205461
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '64.8.a.d', 'target_level': 64, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '16.e', 'twisting_char_orbit': 5, 'weight': 8}
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id: 205462
{'conductor': 16, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '64.8.a.d', 'target_level': 64, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '16.f', 'twisting_char_orbit': 6, 'weight': 8}
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id: 205463
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.8.b.d', 'target_level': 256, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 8}
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id: 205464
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -4, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.8.b.d', 'target_level': 256, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 205465
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.8.b.d', 'target_level': 256, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 8}
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id: 205466
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '256.8.b.d', 'target_level': 256, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 8}
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id: 205467
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '288.8.a.b', 'target_level': 288, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 8}
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id: 205468
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '288.8.a.b', 'target_level': 288, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 8}
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id: 205469
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '576.8.a.n', 'target_level': 576, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '48.i', 'twisting_char_orbit': 9, 'weight': 8}
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id: 205470
{'conductor': 48, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 2, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '256.8.b.d', 'source_level': 256, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '576.8.a.n', 'target_level': 576, 'twist_class_label': '32.8.a.a', 'twist_class_level': 32, 'twisting_char_label': '48.k', 'twisting_char_orbit': 11, 'weight': 8}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 597475
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 2}
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id: 597476
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 3}
-
id: 597477
{'charpoly_factorization': [[[3364, 0, 1], 1]], 'hecke_orbit_code': 13510867735806208, 'p': 5}
-
id: 597478
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 7}
-
id: 597479
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 11}
-
id: 597480
{'charpoly_factorization': [[[79174404, 0, 1], 1]], 'hecke_orbit_code': 13510867735806208, 'p': 13}
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id: 597481
{'charpoly_factorization': [[[40094, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 17}
-
id: 597482
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 19}
-
id: 597483
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 23}
-
id: 597484
{'charpoly_factorization': [[[54396232900, 0, 1], 1]], 'hecke_orbit_code': 13510867735806208, 'p': 29}
-
id: 597485
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 31}
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id: 597486
{'charpoly_factorization': [[[318066672676, 0, 1], 1]], 'hecke_orbit_code': 13510867735806208, 'p': 37}
-
id: 597487
{'charpoly_factorization': [[[9530, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 41}
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id: 597488
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 43}
-
id: 597489
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 47}
-
id: 597490
{'charpoly_factorization': [[[637765154404, 0, 1], 1]], 'hecke_orbit_code': 13510867735806208, 'p': 53}
-
id: 597491
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 59}
-
id: 597492
{'charpoly_factorization': [[[12287338408900, 0, 1], 1]], 'hecke_orbit_code': 13510867735806208, 'p': 61}
-
id: 597493
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 67}
-
id: 597494
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 71}
-
id: 597495
{'charpoly_factorization': [[[3917418, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 73}
-
id: 597496
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 79}
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id: 597497
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 83}
-
id: 597498
{'charpoly_factorization': [[[9246170, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 89}
-
id: 597499
{'charpoly_factorization': [[[17567406, 1], 2]], 'hecke_orbit_code': 13510867735806208, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 2, 'hecke_orbit': 4, 'label': '256.8.b.d', 'level': 256, 'portrait': 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', 'weight': 8}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 35946085
{'hecke_orbit_code': 13510867735806208, 'n': 1, 'trace_an': 2}
-
id: 35946086
{'hecke_orbit_code': 13510867735806208, 'n': 2, 'trace_an': 0}
-
id: 35946087
{'hecke_orbit_code': 13510867735806208, 'n': 3, 'trace_an': 0}
-
id: 35946088
{'hecke_orbit_code': 13510867735806208, 'n': 4, 'trace_an': 0}
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id: 35946089
{'hecke_orbit_code': 13510867735806208, 'n': 5, 'trace_an': 0}
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id: 35946090
{'hecke_orbit_code': 13510867735806208, 'n': 6, 'trace_an': 0}
-
id: 35946091
{'hecke_orbit_code': 13510867735806208, 'n': 7, 'trace_an': 0}
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id: 35946092
{'hecke_orbit_code': 13510867735806208, 'n': 8, 'trace_an': 0}
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id: 35946093
{'hecke_orbit_code': 13510867735806208, 'n': 9, 'trace_an': 4374}
-
id: 35946094
{'hecke_orbit_code': 13510867735806208, 'n': 10, 'trace_an': 0}
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id: 35946095
{'hecke_orbit_code': 13510867735806208, 'n': 11, 'trace_an': 0}
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id: 35946096
{'hecke_orbit_code': 13510867735806208, 'n': 12, 'trace_an': 0}
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