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mf_newforms • Show schema
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{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1040, 3, [911, 261, 417, 561], [3, 3, 3, 1]], 'cm_discs': [], 'conrey_index': 81, 'conrey_indexes': [81, 321], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -1, 1]], [7, [1, 1, 1]], [11, [9, -3, 1]], [19, [49, 7, 1]]], 'hecke_orbit': 10, 'hecke_orbit_code': 40533496191517712, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1040.2.q.j', 'level': 1040, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'minimal_twist': '260.2.i.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{3}+q^{5}-\\zeta_{6}q^{7}+2\\zeta_{6}q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1040.2.q', 'trace_display': [0, 1, 2, -1], 'trace_hash': 1779731124432967528, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.870', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.330', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.288', 'prec': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 4160, 'analytic_conductor': 8.30444181021316, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1040, 3, [911, 261, 417, 561], [3, 3, 3, 1]], 'conrey_index': 81, 'cusp_dim': 312, 'dim': 56, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 19], 'hecke_orbit_code': 1099545183248, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 6, 8], 'label': '1040.2.q', 'level': 1040, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 13], 'level_radical': 130, 'mf_dim': 360, 'mf_new_dim': 56, 'num_forms': 18, 'prim_orbit_index': 3, 'relative_dim': 28, 'sturm_bound': 336, 'trace_bound': 11, 'trace_display': [0, -4, 0, 4], 'traces': [56, 0, -4, 0, 0, 0, 4, 0, -28, 0, 0, 0, 0, 0, 0, 0, 0, 0, -8, 0, 0, 0, 12, 0, 56, 0, 56, 0, 0, 0, -32, 0, 0, 0, -12, 0, 0, 0, -28, 0, 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0, 116, 0, 504, 0, 136, 0, -96, 0, 296, 0, -336, 0, 0, 0, 52, 0, -40, 0, 128, 0, -136, 0, 496, 0, 128, 0, -4, 0, -208, 0, -180, 0, -148, 0, -20, 0, -40, 0, 340, 0, -4, 0, 256, 0, -400, 0, 168, 0, 640, 0, -632, 0, -96, 0, -376, 0, -8, 0, -44, 0, -136, 0, 0, 0, 136, 0, -32, 0, -112, 0, -456, 0, 64, 0, -584, 0, 16, 0, -88, 0, 576, 0, 136, 0, -208, 0, -112, 0, 224, 0, 104, 0, -160, 0, -60, 0, -176, 0, -492, 0, -48, 0, 432, 0, -160, 0, -272, 0, 176, 0, 12, 0, -188, 0, 48, 0, -216, 0, 256, 0, -96, 0, 32, 0, -16, 0, -32, 0, 208, 0, 196, 0, -256, 0, -92, 0, -28, 0, 188, 0, 40, 0, 336, 0, -24, 0, 112, 0, 48, 0, -372, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 627368
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '260.2.i.b', 'target_level': 260, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627369
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '260.2.i.b', 'target_level': 260, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 627370
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1040.2.q.j', 'target_level': 1040, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 627371
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1040.2.q.j', 'target_level': 1040, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 627372
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1300.2.i.e', 'target_level': 1300, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 627373
{'conductor': 260, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1300.2.i.e', 'target_level': 1300, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '260.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 627374
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1300.2.bb.a', 'target_level': 1300, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 627375
{'conductor': 260, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 28, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1300.2.bb.a', 'target_level': 1300, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '260.bj', 'twisting_char_orbit': 36, 'weight': 2}
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id: 627376
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2340.2.q.b', 'target_level': 2340, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 627377
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2340.2.q.b', 'target_level': 2340, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '156.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 627378
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '3380.2.a.g', 'target_level': 3380, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 627379
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3380.2.a.h', 'target_level': 3380, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 627380
{'conductor': 52, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 2, 'source_hecke_orbit': 10, 'source_is_minimal': False, 'source_label': '1040.2.q.j', 'source_level': 1040, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3380.2.f.e', 'target_level': 3380, 'twist_class_label': '260.2.i.b', 'twist_class_level': 260, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1622625
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 2}
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id: 1622626
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 3}
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id: 1622627
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 5}
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id: 1622628
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 7}
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id: 1622629
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 11}
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id: 1622630
{'charpoly_factorization': [[[13, -2, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 13}
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id: 1622631
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 17}
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id: 1622632
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 19}
-
id: 1622633
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 23}
-
id: 1622634
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 29}
-
id: 1622635
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 31}
-
id: 1622636
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 37}
-
id: 1622637
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 41}
-
id: 1622638
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 43}
-
id: 1622639
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 47}
-
id: 1622640
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 53}
-
id: 1622641
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 59}
-
id: 1622642
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 61}
-
id: 1622643
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 67}
-
id: 1622644
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 71}
-
id: 1622645
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 73}
-
id: 1622646
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 79}
-
id: 1622647
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 40533496191517712, 'p': 83}
-
id: 1622648
{'charpoly_factorization': [[[225, 15, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 89}
-
id: 1622649
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 40533496191517712, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 17, 'hecke_orbit': 10, 'label': '1040.2.q.j', 'level': 1040, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 209433000
{'hecke_orbit_code': 40533496191517712, 'n': 1, 'trace_an': 2}
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id: 209433001
{'hecke_orbit_code': 40533496191517712, 'n': 2, 'trace_an': 0}
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id: 209433002
{'hecke_orbit_code': 40533496191517712, 'n': 3, 'trace_an': 1}
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id: 209433003
{'hecke_orbit_code': 40533496191517712, 'n': 4, 'trace_an': 0}
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id: 209433004
{'hecke_orbit_code': 40533496191517712, 'n': 5, 'trace_an': 2}
-
id: 209433005
{'hecke_orbit_code': 40533496191517712, 'n': 6, 'trace_an': 0}
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id: 209433006
{'hecke_orbit_code': 40533496191517712, 'n': 7, 'trace_an': -1}
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id: 209433007
{'hecke_orbit_code': 40533496191517712, 'n': 8, 'trace_an': 0}
-
id: 209433008
{'hecke_orbit_code': 40533496191517712, 'n': 9, 'trace_an': 2}
-
id: 209433009
{'hecke_orbit_code': 40533496191517712, 'n': 10, 'trace_an': 0}
-
id: 209433010
{'hecke_orbit_code': 40533496191517712, 'n': 11, 'trace_an': 3}
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id: 209433011
{'hecke_orbit_code': 40533496191517712, 'n': 12, 'trace_an': 0}
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id: 209433012
{'hecke_orbit_code': 40533496191517712, 'n': 13, 'trace_an': 2}
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id: 209433013
{'hecke_orbit_code': 40533496191517712, 'n': 14, 'trace_an': 0}
-
id: 209433014
{'hecke_orbit_code': 40533496191517712, 'n': 15, 'trace_an': 1}
-
id: 209433015
{'hecke_orbit_code': 40533496191517712, 'n': 16, 'trace_an': 0}
-
id: 209433016
{'hecke_orbit_code': 40533496191517712, 'n': 17, 'trace_an': 3}
-
id: 209433017
{'hecke_orbit_code': 40533496191517712, 'n': 18, 'trace_an': 0}
-
id: 209433018
{'hecke_orbit_code': 40533496191517712, 'n': 19, 'trace_an': -7}
-
id: 209433019
{'hecke_orbit_code': 40533496191517712, 'n': 20, 'trace_an': 0}
-
id: 209433020
{'hecke_orbit_code': 40533496191517712, 'n': 21, 'trace_an': -2}
-
id: 209433021
{'hecke_orbit_code': 40533496191517712, 'n': 22, 'trace_an': 0}
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id: 209433022
{'hecke_orbit_code': 40533496191517712, 'n': 23, 'trace_an': -3}
-
id: 209433023
{'hecke_orbit_code': 40533496191517712, 'n': 24, 'trace_an': 0}
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