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mf_newforms • Show schema
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{'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 5, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [8100, 2, [4051, 6401, 7777], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 649, 'conrey_indexes': [649], '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': [[7, [4, 0, 1]], [11, [-3, 1]], [29, [3, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36029003210956708, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '8100.2.d.i', 'level': 8100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '1620.2.a.c', 'nf_label': '2.0.4.1', 'prim_orbit_index': 2, 'qexp_display': 'q+iq^{7}+3q^{11}+2iq^{13}+3iq^{17}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8100.2.d', 'trace_display': [0, 0, 0, 0], 'trace_hash': 1245666033029924159, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.008', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.871', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.153', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.758', 'prec': 20}, {'__RealLiteral__': 0, 'data': '3.234', 'prec': 17}, {'__RealLiteral__': 0, 'data': '148.319', 'prec': 24}], 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [0, 2], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [7, 0], [0, 0], [0, 0], [0, 0], [0, -3], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-3, 0], [0, 0], [5, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [0, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [14, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [15, 0], [0, 0], [0, 5], [0, 0], [0, 0], [0, 0], [0, 3], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-15, 0], [0, 0], [-8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [0, 0], [0, 0], [0, 1], [3, 0], [0, 2], [0, 3], [7, 0], [0, -3], [-3, 0], [5, 0], [0, -2], [3, 0], [0, -4], [0, 0], [0, 3], [3, 0], [14, 0], [0, 1], [15, 0], [0, 5], 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'char_orbit_index': 4, 'field_poly': [1, 0, 1], 'hecke_orbit_code': 36029003210956708, 'hecke_ring_character_values': [[4051, [1, 0]], [6401, [1, 0]], [7777, [-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': '8100.2.d.i', 'level': 8100, 'maxp': 3229, 'weight': 2}
-
mf_newspaces • Show schema
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{'Nk2': 32400, 'analytic_conductor': 64.67882563723711, 'char_conductor': 5, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [8100, 2, [4051, 6401, 7777], [2, 2, 1]], 'conrey_index': 649, 'cusp_dim': 1512, 'dim': 72, 'eis_dim': 216, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 29], 'hecke_orbit_code': 206191992740, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 6, 6, 8, 8, 8], 'label': '8100.2.d', 'level': 8100, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 1728, 'mf_new_dim': 72, 'num_forms': 19, 'prim_orbit_index': 2, 'relative_dim': 72, 'sturm_bound': 3240, 'trace_bound': 29, 'trace_display': [0, 0, 0, 0], 'traces': [72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 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0, -864, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 408], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1377431
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1620.2.a.c', 'target_level': 1620, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1377432
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '1620.2.a.f', 'target_level': 1620, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1377433
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1620.2.i.c', 'target_level': 1620, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377434
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1620.2.i.g', 'target_level': 1620, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 1377435
{'conductor': 20, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '6480.2.a.b', 'target_level': 6480, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1377436
{'conductor': 60, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '6480.2.a.p', 'target_level': 6480, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1377437
{'conductor': 15, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '8100.2.a.b', 'target_level': 8100, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1377438
{'conductor': 5, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '8100.2.a.e', 'target_level': 8100, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1377439
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8100.2.d.d', 'target_level': 8100, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1377440
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8100.2.d.d', 'target_level': 8100, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1377441
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '8100.2.d.i', 'target_level': 8100, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1377442
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': False, 'source_label': '8100.2.d.i', 'source_level': 8100, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '8100.2.d.i', 'target_level': 8100, 'twist_class_label': '1620.2.a.c', 'twist_class_level': 1620, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4624400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 2}
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id: 4624401
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 3}
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id: 4624402
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 5}
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id: 4624403
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 7}
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id: 4624404
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 11}
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id: 4624405
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 13}
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id: 4624406
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 17}
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id: 4624407
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 19}
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id: 4624408
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 23}
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id: 4624409
{'charpoly_factorization': [[[3, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 29}
-
id: 4624410
{'charpoly_factorization': [[[-5, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 31}
-
id: 4624411
{'charpoly_factorization': [[[16, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 37}
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id: 4624412
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 41}
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id: 4624413
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 43}
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id: 4624414
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 47}
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id: 4624415
{'charpoly_factorization': [[[36, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 53}
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id: 4624416
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 59}
-
id: 4624417
{'charpoly_factorization': [[[-14, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 61}
-
id: 4624418
{'charpoly_factorization': [[[4, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 67}
-
id: 4624419
{'charpoly_factorization': [[[-15, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 71}
-
id: 4624420
{'charpoly_factorization': [[[100, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 73}
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id: 4624421
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 79}
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id: 4624422
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 83}
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id: 4624423
{'charpoly_factorization': [[[15, 1], 2]], 'hecke_orbit_code': 36029003210956708, 'p': 89}
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id: 4624424
{'charpoly_factorization': [[[64, 0, 1], 1]], 'hecke_orbit_code': 36029003210956708, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 4, 'hecke_orbit': 9, 'label': '8100.2.d.i', 'level': 8100, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 201585000
{'hecke_orbit_code': 36029003210956708, 'n': 1, 'trace_an': 2}
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id: 201585001
{'hecke_orbit_code': 36029003210956708, 'n': 2, 'trace_an': 0}
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id: 201585002
{'hecke_orbit_code': 36029003210956708, 'n': 3, 'trace_an': 0}
-
id: 201585003
{'hecke_orbit_code': 36029003210956708, 'n': 4, 'trace_an': 0}
-
id: 201585004
{'hecke_orbit_code': 36029003210956708, 'n': 5, 'trace_an': 0}
-
id: 201585005
{'hecke_orbit_code': 36029003210956708, 'n': 6, 'trace_an': 0}
-
id: 201585006
{'hecke_orbit_code': 36029003210956708, 'n': 7, 'trace_an': 0}
-
id: 201585007
{'hecke_orbit_code': 36029003210956708, 'n': 8, 'trace_an': 0}
-
id: 201585008
{'hecke_orbit_code': 36029003210956708, 'n': 9, 'trace_an': 0}
-
id: 201585009
{'hecke_orbit_code': 36029003210956708, 'n': 10, 'trace_an': 0}
-
id: 201585010
{'hecke_orbit_code': 36029003210956708, 'n': 11, 'trace_an': 6}
-
id: 201585011
{'hecke_orbit_code': 36029003210956708, 'n': 12, 'trace_an': 0}
-
id: 201585012
{'hecke_orbit_code': 36029003210956708, 'n': 13, 'trace_an': 0}
-
id: 201585013
{'hecke_orbit_code': 36029003210956708, 'n': 14, 'trace_an': 0}
-
id: 201585014
{'hecke_orbit_code': 36029003210956708, 'n': 15, 'trace_an': 0}
-
id: 201585015
{'hecke_orbit_code': 36029003210956708, 'n': 16, 'trace_an': 0}
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id: 201585016
{'hecke_orbit_code': 36029003210956708, 'n': 17, 'trace_an': 0}
-
id: 201585017
{'hecke_orbit_code': 36029003210956708, 'n': 18, 'trace_an': 0}
-
id: 201585018
{'hecke_orbit_code': 36029003210956708, 'n': 19, 'trace_an': 14}
-
id: 201585019
{'hecke_orbit_code': 36029003210956708, 'n': 20, 'trace_an': 0}
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