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mf_newforms • Show schema
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{'Nk2': 4332, 'analytic_conductor': 8.647798538904665, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 57, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1083, 2, [362, 724], [1, 1]], 'cm_discs': [], 'conrey_index': 1082, 'conrey_indexes': [1082], 'dim': 8, 'field_disc': 5308416, 'field_disc_factorization': [[2, 16], [3, 4]], 'field_poly': [1, 0, 0, 0, -1, 0, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 24, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -4, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503805819356219, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 16, 'hecke_ring_index_factorization': [[2, 4]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 57, 4, 1, 2, 0], [1, 1, 19, 2, -1, 2, 0], [1, 1, 3, 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': '1083.2.d.b', 'level': 1083, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'minimal_twist': '57.2.f.a', 'nf_label': '8.0.5308416.1', 'prim_orbit_index': 4, 'qexp_display': 'q-\\zeta_{24}^{6}q^{2}+(-\\zeta_{24}+\\zeta_{24}^{5}+\\zeta_{24}^{6}+\\cdots)q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1083.2.d', 'trace_display': [0, 0, 0, -16], 'trace_hash': 1814588126580587969, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.066', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '568.287', 'prec': 24}, 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mf_hecke_nf • Show schema
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[0, 1, 0, 1, 0, 0, 0, -1], [0, 0, 0, 0, 0, 1, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '1083.2.d.b', 'level': 1083, 'maxp': 1999, 'weight': 2}
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{'Nk2': 4332, 'analytic_conductor': 8.647798538904665, 'char_conductor': 57, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 4, 'char_orbit_label': 'd', 'char_order': 2, 'char_parity': 1, 'char_values': [1083, 2, [362, 724], [1, 1]], 'conrey_index': 1082, 'cusp_dim': 106, 'dim': 98, 'eis_dim': 40, 'eis_new_dim': 32, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 206191985723, 'hecke_orbit_dims': [6, 8, 12, 24, 48], 'label': '1083.2.d', 'level': 1083, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 19], 'level_radical': 57, 'mf_dim': 146, 'mf_new_dim': 130, 'num_forms': 5, 'prim_orbit_index': 4, 'relative_dim': 98, 'sturm_bound': 253, 'trace_bound': 1, 'trace_display': [0, 0, 0, -4], 'traces': [98, 0, 0, 84, 0, 4, -4, 0, 8, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, -16, -30, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, -8, 0, 0, -44, 0, 0, -38, 28, 0, 20, 0, 0, 0, 10, 0, 0, 0, 0, -26, -12, 0, 0, 0, 0, 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0, 84, 0, 0, 0, 0, -246, 314, 0, 0, -48, 0, 0, 40, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 640533
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '57.2.f.a', 'target_level': 57, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 640534
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '57.2.f.a', 'target_level': 57, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 640535
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '57.2.f.a', 'target_level': 57, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '57.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 640536
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '57.2.f.a', 'target_level': 57, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '57.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 640537
{'conductor': 76, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 40, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '912.2.bn.m', 'target_level': 912, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '76.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 640538
{'conductor': 76, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 40, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '912.2.bn.m', 'target_level': 912, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '76.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 640539
{'conductor': 228, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 40, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '912.2.bn.m', 'target_level': 912, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '228.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 640540
{'conductor': 228, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 40, 'target_dim': 8, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '912.2.bn.m', 'target_level': 912, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '228.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 640541
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1083.2.d.b', 'target_level': 1083, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 640542
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1083.2.d.b', 'target_level': 1083, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 640543
{'conductor': 19, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1083.2.d.b', 'target_level': 1083, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '19.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 640544
{'conductor': 57, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 4, 'source_dim': 8, 'source_hecke_orbit': 2, 'source_is_minimal': False, 'source_label': '1083.2.d.b', 'source_level': 1083, 'target_char_orbit': 4, 'target_dim': 8, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1083.2.d.b', 'target_level': 1083, 'twist_class_label': '57.2.f.a', 'twist_class_level': 57, 'twisting_char_label': '57.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1664950
{'charpoly_factorization': [[[1, 0, -4, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 2}
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id: 1664951
{'charpoly_factorization': [[[9, 0, -2, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 3}
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id: 1664952
{'charpoly_factorization': [[[2, 0, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 5}
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id: 1664953
{'charpoly_factorization': [[[1, 4, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 7}
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id: 1664954
{'charpoly_factorization': [[[4, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 11}
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id: 1664955
{'charpoly_factorization': [[[1, 0, 14, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 13}
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id: 1664956
{'charpoly_factorization': [[[24, 0, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 17}
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id: 1664957
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4503805819356219, 'p': 19}
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id: 1664958
{'charpoly_factorization': [[[4, 0, 28, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 23}
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id: 1664959
{'charpoly_factorization': [[[256, 0, -64, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 29}
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id: 1664960
{'charpoly_factorization': [[[121, 0, 26, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 31}
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id: 1664961
{'charpoly_factorization': [[[1089, 0, 78, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 37}
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id: 1664962
{'charpoly_factorization': [[[-32, 0, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 41}
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id: 1664963
{'charpoly_factorization': [[[13, -8, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 43}
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id: 1664964
{'charpoly_factorization': [[[64, 0, 112, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 47}
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id: 1664965
{'charpoly_factorization': [[[4356, 0, -156, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 53}
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id: 1664966
{'charpoly_factorization': [[[8836, 0, -196, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 59}
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id: 1664967
{'charpoly_factorization': [[[37, 14, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 61}
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id: 1664968
{'charpoly_factorization': [[[1, 0, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 67}
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id: 1664969
{'charpoly_factorization': [[[2304, 0, -192, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 71}
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id: 1664970
{'charpoly_factorization': [[[3, 1], 8]], 'hecke_orbit_code': 4503805819356219, 'p': 73}
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id: 1664971
{'charpoly_factorization': [[[1369, 0, 122, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 79}
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id: 1664972
{'charpoly_factorization': [[[256, 0, 64, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 83}
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id: 1664973
{'charpoly_factorization': [[[-54, 0, 1], 4]], 'hecke_orbit_code': 4503805819356219, 'p': 89}
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id: 1664974
{'charpoly_factorization': [[[16, 0, 56, 0, 1], 2]], 'hecke_orbit_code': 4503805819356219, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 4, 'hecke_orbit': 2, 'label': '1083.2.d.b', 'level': 1083, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 83549000
{'hecke_orbit_code': 4503805819356219, 'n': 1, 'trace_an': 8}
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id: 83549001
{'hecke_orbit_code': 4503805819356219, 'n': 2, 'trace_an': 0}
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id: 83549002
{'hecke_orbit_code': 4503805819356219, 'n': 3, 'trace_an': 0}
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id: 83549003
{'hecke_orbit_code': 4503805819356219, 'n': 4, 'trace_an': 0}
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id: 83549004
{'hecke_orbit_code': 4503805819356219, 'n': 5, 'trace_an': 0}
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id: 83549005
{'hecke_orbit_code': 4503805819356219, 'n': 6, 'trace_an': -8}
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id: 83549006
{'hecke_orbit_code': 4503805819356219, 'n': 7, 'trace_an': -16}
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id: 83549007
{'hecke_orbit_code': 4503805819356219, 'n': 8, 'trace_an': 0}
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id: 83549008
{'hecke_orbit_code': 4503805819356219, 'n': 9, 'trace_an': 8}
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id: 83549009
{'hecke_orbit_code': 4503805819356219, 'n': 10, 'trace_an': 0}
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id: 83549010
{'hecke_orbit_code': 4503805819356219, 'n': 11, 'trace_an': 0}
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id: 83549011
{'hecke_orbit_code': 4503805819356219, 'n': 12, 'trace_an': 0}
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id: 83549012
{'hecke_orbit_code': 4503805819356219, 'n': 13, 'trace_an': 0}
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id: 83549013
{'hecke_orbit_code': 4503805819356219, 'n': 14, 'trace_an': 0}
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id: 83549014
{'hecke_orbit_code': 4503805819356219, 'n': 15, 'trace_an': 0}
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id: 83549015
{'hecke_orbit_code': 4503805819356219, 'n': 16, 'trace_an': -8}
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