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mf_newforms • Show schema
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{'Nk2': 500, 'analytic_conductor': 0.2495325063165012, 'analytic_rank': 0, 'analytic_rank_proved': True, 'artin_degree': 10, 'artin_field': [-4, 10, 0, -5, 0, 1], 'artin_field_label': '5.1.250000.1', 'artin_image': '10.1', 'char_conductor': 20, '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': [500, 2, [251, 377], [1, 1]], 'cm_discs': [-20], 'conrey_index': 499, 'conrey_indexes': [499], 'dim': 2, 'embedded_related_objects': [['ArtinRepresentation/2.2e2_5e3.5t2.1c1'], ['ArtinRepresentation/2.2e2_5e3.5t2.1c2']], 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, 1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805802578420, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 500, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.2495325063165012, 'char_conductor': 20, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': -1, 'char_values': [500, 2, [251, 377], [1, 1]], 'conrey_index': 499, 'cusp_dim': 4, 'dihedral_dim': 4, 'dim': 4, 'eis_dim': 10, 'eis_new_dim': 0, 'hecke_orbit_code': 206175207924, 'hecke_orbit_dims': [2, 2], 'label': '500.1.d', 'level': 500, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5], 'level_radical': 10, 'mf_dim': 14, 'mf_new_dim': 4, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 4, 's4_dim': 0, 'sturm_bound': 75, 'trace_bound': 2, 'trace_display': [0, 0, 0, 0], 'traces': [4, 0, 0, 4, 0, -2, 0, 0, 2, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, -2, 0, 0, 0, 0, -2, 0, 0, 2, 0, 0, 0, 0, -4, 0, -2, 0, 0, 0, 0, -2, 0, 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0, 0, 0, 0, 0, 0, 0, 0], 'weight': 1, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 353883
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '500.1.b.a', 'target_level': 500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 353884
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '500.1.b.a', 'target_level': 500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 353885
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '500.1.d.a', 'target_level': 500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 353886
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '500.1.d.a', 'target_level': 500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 353887
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '500.1.d.b', 'target_level': 500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 353888
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -20, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '500.1.d.b', 'target_level': 500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 353889
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2500.1.h.a', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 353890
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2500.1.h.a', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 353891
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2500.1.h.b', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '25.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 353892
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '2500.1.h.b', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '100.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 353893
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2500.1.h.c', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 353894
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2500.1.h.c', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 1}
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id: 353895
{'conductor': 25, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2500.1.h.d', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '25.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 353896
{'conductor': 100, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2500.1.h.d', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '100.j', 'twisting_char_orbit': 10, 'weight': 1}
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id: 353897
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2500.1.j.c', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 1}
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id: 353898
{'conductor': 100, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '2500.1.j.c', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 1}
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id: 353899
{'conductor': 25, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2500.1.j.d', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '25.f', 'twisting_char_orbit': 6, 'weight': 1}
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id: 353900
{'conductor': 100, 'degree': 8, 'multiplicity': 4, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 2, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '500.1.d.b', 'source_level': 500, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2500.1.j.d', 'target_level': 2500, 'twist_class_label': '500.1.b.a', 'twist_class_level': 500, 'twisting_char_label': '100.l', 'twisting_char_orbit': 12, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 971900
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 2}
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id: 971901
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 3}
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id: 971902
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 5}
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id: 971903
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 7}
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id: 971904
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 11}
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id: 971905
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 13}
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id: 971906
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 17}
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id: 971907
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 19}
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id: 971908
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 23}
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id: 971909
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 29}
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id: 971910
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 31}
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id: 971911
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 37}
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id: 971912
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 41}
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id: 971913
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 43}
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id: 971914
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 47}
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id: 971915
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 53}
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id: 971916
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 59}
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id: 971917
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 61}
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id: 971918
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 67}
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id: 971919
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 71}
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id: 971920
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 73}
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id: 971921
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 79}
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id: 971922
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 83}
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id: 971923
{'charpoly_factorization': [[[-1, 1, 1], 1]], 'hecke_orbit_code': 4503805802578420, 'p': 89}
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id: 971924
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4503805802578420, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '500.1.d.b', 'level': 500, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 82978000
{'hecke_orbit_code': 4503805802578420, 'n': 1, 'trace_an': 2}
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id: 82978001
{'hecke_orbit_code': 4503805802578420, 'n': 2, 'trace_an': 2}
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id: 82978002
{'hecke_orbit_code': 4503805802578420, 'n': 3, 'trace_an': -1}
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id: 82978003
{'hecke_orbit_code': 4503805802578420, 'n': 4, 'trace_an': 2}
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id: 82978004
{'hecke_orbit_code': 4503805802578420, 'n': 5, 'trace_an': 0}
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id: 82978005
{'hecke_orbit_code': 4503805802578420, 'n': 6, 'trace_an': -1}
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id: 82978006
{'hecke_orbit_code': 4503805802578420, 'n': 7, 'trace_an': -1}
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id: 82978007
{'hecke_orbit_code': 4503805802578420, 'n': 8, 'trace_an': 2}
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id: 82978008
{'hecke_orbit_code': 4503805802578420, 'n': 9, 'trace_an': 1}
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id: 82978009
{'hecke_orbit_code': 4503805802578420, 'n': 10, 'trace_an': 0}
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id: 82978010
{'hecke_orbit_code': 4503805802578420, 'n': 11, 'trace_an': 0}
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id: 82978011
{'hecke_orbit_code': 4503805802578420, 'n': 12, 'trace_an': -1}
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id: 82978012
{'hecke_orbit_code': 4503805802578420, 'n': 13, 'trace_an': 0}
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id: 82978013
{'hecke_orbit_code': 4503805802578420, 'n': 14, 'trace_an': -1}
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id: 82978014
{'hecke_orbit_code': 4503805802578420, 'n': 15, 'trace_an': 0}
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id: 82978015
{'hecke_orbit_code': 4503805802578420, 'n': 16, 'trace_an': 2}
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id: 82978016
{'hecke_orbit_code': 4503805802578420, 'n': 17, 'trace_an': 0}
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id: 82978017
{'hecke_orbit_code': 4503805802578420, 'n': 18, 'trace_an': 1}
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id: 82978018
{'hecke_orbit_code': 4503805802578420, 'n': 19, 'trace_an': 0}
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id: 82978019
{'hecke_orbit_code': 4503805802578420, 'n': 20, 'trace_an': 0}
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id: 82978020
{'hecke_orbit_code': 4503805802578420, 'n': 21, 'trace_an': -2}
-
id: 82978021
{'hecke_orbit_code': 4503805802578420, 'n': 22, 'trace_an': 0}
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id: 82978022
{'hecke_orbit_code': 4503805802578420, 'n': 23, 'trace_an': -1}
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id: 82978023
{'hecke_orbit_code': 4503805802578420, 'n': 24, 'trace_an': -1}
-
id: 82978024
{'hecke_orbit_code': 4503805802578420, 'n': 25, 'trace_an': 0}
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id: 82978025
{'hecke_orbit_code': 4503805802578420, 'n': 26, 'trace_an': 0}
-
id: 82978026
{'hecke_orbit_code': 4503805802578420, 'n': 27, 'trace_an': -2}
-
id: 82978027
{'hecke_orbit_code': 4503805802578420, 'n': 28, 'trace_an': -1}
-
id: 82978028
{'hecke_orbit_code': 4503805802578420, 'n': 29, 'trace_an': -1}
-
id: 82978029
{'hecke_orbit_code': 4503805802578420, 'n': 30, 'trace_an': 0}
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id: 82978030
{'hecke_orbit_code': 4503805802578420, 'n': 31, 'trace_an': 0}
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id: 82978031
{'hecke_orbit_code': 4503805802578420, 'n': 32, 'trace_an': 2}
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id: 82978032
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