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mf_newforms • Show schema
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{'Nk2': 1352, 'analytic_conductor': 0.6747358970798193, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 8, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [1352, 2, [1015, 677, 1185], [1, 1, 2]], 'cm_discs': [-8], 'conrey_index': 339, 'conrey_indexes': [339], 'dim': 3, 'field_disc': 49, 'field_disc_factorization': [[7, 2]], 'field_poly': [1, -2, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 14, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -2, 1, 1]], [11, [1, -2, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011961009480, '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, 8, 4, -1, 2, -8]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '1352.1.g.b', 'level': 1352, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'minimal_twist': '1352.1.g.b', 'nf_label': '3.3.49.1', 'prim_orbit_index': 4, 'projective_field': [-4, -6, -2, 3, -4, -2, -2, 1], 'projective_field_label': '7.1.2471326208.1', 'projective_image': 'D7', 'projective_image_type': 'Dn', 'qexp_display': 'q-q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{1}q^{6}-q^{8}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'self_twist_discs': [-8], 'self_twist_type': 1, 'space_label': '1352.1.g', 'trace_display': [-3, -1, 0, 0], 'trace_hash': 877701588136737445, 'trace_moments': [{'__RealLiteral__': 0, 'data': '-0.044', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.715', 'prec': 17}, {'__RealLiteral__': 0, 'data': '-1.906', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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[[1, 0, 0], [0, 1, 0], [-2, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '1352.1.g.b', 'level': 1352, 'maxp': 1999, 'weight': 1}
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mf_newspaces • Show schema
Hide schema
{'Nk2': 1352, 'a4_dim': 0, 'a5_dim': 0, 'analytic_conductor': 0.6747358970798193, 'char_conductor': 8, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 2, 'char_parity': -1, 'char_values': [1352, 2, [1015, 677, 1185], [1, 1, 2]], 'conrey_index': 339, 'cusp_dim': 8, 'dihedral_dim': 8, 'dim': 8, 'eis_dim': 14, 'eis_new_dim': 11, 'hecke_orbit_code': 412333638984, 'hecke_orbit_dims': [2, 3, 3], 'label': '1352.1.g', 'level': 1352, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 22, 'mf_new_dim': 19, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 8, 's4_dim': 0, 'sturm_bound': 182, 'trace_bound': 2, 'trace_display': [0, -4, 0, 0], 'traces': [8, 0, -4, 4, 0, 0, 0, 0, 4, 2, 0, 0, 0, -2, 0, 8, 0, 0, 0, 0, 0, -2, 0, 0, 6, 0, -2, 0, 0, -2, 0, 0, 0, 0, 2, 4, 0, -2, 0, -2, 0, 2, 0, 0, 0, 0, 0, -4, 6, 0, -6, 0, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 717900
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 7, 'target_dim': 3, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1352.1.g.b', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 1}
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id: 717901
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -8, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 7, 'target_dim': 3, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '1352.1.g.b', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 717902
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 7, 'target_dim': 3, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1352.1.g.c', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 1}
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id: 717903
{'conductor': 104, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 7, 'target_dim': 3, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1352.1.g.c', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '104.h', 'twisting_char_orbit': 8, 'weight': 1}
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id: 717904
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1352.1.h.a', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 1}
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id: 717905
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 8, 'target_dim': 6, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '1352.1.h.a', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '104.m', 'twisting_char_orbit': 13, 'weight': 1}
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id: 717906
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 14, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1352.1.n.b', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 1}
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id: 717907
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 14, 'target_dim': 6, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1352.1.n.b', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '104.p', 'twisting_char_orbit': 16, 'weight': 1}
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id: 717908
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 14, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1352.1.n.c', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 1}
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id: 717909
{'conductor': 104, 'degree': 2, 'multiplicity': 2, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 14, 'target_dim': 6, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1352.1.n.c', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '104.n', 'twisting_char_orbit': 14, 'weight': 1}
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id: 717910
{'conductor': 13, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 16, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1352.1.p.c', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 1}
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id: 717911
{'conductor': 104, 'degree': 4, 'multiplicity': 4, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 7, 'source_dim': 3, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '1352.1.g.b', 'source_level': 1352, 'target_char_orbit': 16, 'target_dim': 12, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1352.1.p.c', 'target_level': 1352, 'twist_class_label': '1352.1.g.b', 'twist_class_level': 1352, 'twisting_char_label': '104.u', 'twisting_char_orbit': 21, 'weight': 1}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1890400
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 2}
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id: 1890401
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 3}
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id: 1890402
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 5}
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id: 1890403
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 7}
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id: 1890404
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 11}
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id: 1890405
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 13}
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id: 1890406
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 17}
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id: 1890407
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 19}
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id: 1890408
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 23}
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id: 1890409
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 29}
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id: 1890410
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 31}
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id: 1890411
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 37}
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id: 1890412
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 41}
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id: 1890413
{'charpoly_factorization': [[[-1, -2, 1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 43}
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id: 1890414
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 47}
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id: 1890415
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 53}
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id: 1890416
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 59}
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id: 1890417
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 61}
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id: 1890418
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 67}
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id: 1890419
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 71}
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id: 1890420
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 73}
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id: 1890421
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 4504011961009480, 'p': 79}
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id: 1890422
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 83}
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id: 1890423
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 89}
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id: 1890424
{'charpoly_factorization': [[[1, -2, -1, 1], 1]], 'hecke_orbit_code': 4504011961009480, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '1352.1.g.b', 'level': 1352, 'portrait': 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', 'weight': 1}
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mf_hecke_traces • Show schema
Hide schema
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id: 87809000
{'hecke_orbit_code': 4504011961009480, 'n': 1, 'trace_an': 3}
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id: 87809001
{'hecke_orbit_code': 4504011961009480, 'n': 2, 'trace_an': -3}
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id: 87809002
{'hecke_orbit_code': 4504011961009480, 'n': 3, 'trace_an': -1}
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id: 87809003
{'hecke_orbit_code': 4504011961009480, 'n': 4, 'trace_an': 3}
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id: 87809004
{'hecke_orbit_code': 4504011961009480, 'n': 5, 'trace_an': 0}
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id: 87809005
{'hecke_orbit_code': 4504011961009480, 'n': 6, 'trace_an': 1}
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id: 87809006
{'hecke_orbit_code': 4504011961009480, 'n': 7, 'trace_an': 0}
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id: 87809007
{'hecke_orbit_code': 4504011961009480, 'n': 8, 'trace_an': -3}
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id: 87809008
{'hecke_orbit_code': 4504011961009480, 'n': 9, 'trace_an': 2}
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id: 87809009
{'hecke_orbit_code': 4504011961009480, 'n': 10, 'trace_an': 0}
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id: 87809010
{'hecke_orbit_code': 4504011961009480, 'n': 11, 'trace_an': 1}
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id: 87809011
{'hecke_orbit_code': 4504011961009480, 'n': 12, 'trace_an': -1}
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id: 87809012
{'hecke_orbit_code': 4504011961009480, 'n': 13, 'trace_an': 0}
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id: 87809013
{'hecke_orbit_code': 4504011961009480, 'n': 14, 'trace_an': 0}
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id: 87809014
{'hecke_orbit_code': 4504011961009480, 'n': 15, 'trace_an': 0}
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id: 87809015
{'hecke_orbit_code': 4504011961009480, 'n': 16, 'trace_an': 3}
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id: 87809016
{'hecke_orbit_code': 4504011961009480, 'n': 17, 'trace_an': -1}
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id: 87809017
{'hecke_orbit_code': 4504011961009480, 'n': 18, 'trace_an': -2}
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id: 87809018
{'hecke_orbit_code': 4504011961009480, 'n': 19, 'trace_an': 1}
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id: 87809019
{'hecke_orbit_code': 4504011961009480, 'n': 20, 'trace_an': 0}
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id: 87809020
{'hecke_orbit_code': 4504011961009480, 'n': 21, 'trace_an': 0}
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id: 87809021
{'hecke_orbit_code': 4504011961009480, 'n': 22, 'trace_an': -1}
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id: 87809022
{'hecke_orbit_code': 4504011961009480, 'n': 23, 'trace_an': 0}
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id: 87809023
{'hecke_orbit_code': 4504011961009480, 'n': 24, 'trace_an': 1}
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id: 87809024
{'hecke_orbit_code': 4504011961009480, 'n': 25, 'trace_an': 3}
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id: 87809025
{'hecke_orbit_code': 4504011961009480, 'n': 26, 'trace_an': 0}
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id: 87809026
{'hecke_orbit_code': 4504011961009480, 'n': 27, 'trace_an': -2}
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id: 87809027
{'hecke_orbit_code': 4504011961009480, 'n': 28, 'trace_an': 0}
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id: 87809028
{'hecke_orbit_code': 4504011961009480, 'n': 29, 'trace_an': 0}
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id: 87809029
{'hecke_orbit_code': 4504011961009480, 'n': 30, 'trace_an': 0}
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id: 87809030
{'hecke_orbit_code': 4504011961009480, 'n': 31, 'trace_an': 0}
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id: 87809031
{'hecke_orbit_code': 4504011961009480, 'n': 32, 'trace_an': -3}
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id: 87809032
{'hecke_orbit_code': 4504011961009480, 'n': 33, 'trace_an': 2}
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id: 87809033
{'hecke_orbit_code': 4504011961009480, 'n': 34, 'trace_an': 1}
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id: 87809034
{'hecke_orbit_code': 4504011961009480, 'n': 35, 'trace_an': 0}
-
id: 87809035
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