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mf_newforms • Show schema
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{'Nk2': 4256, 'analytic_conductor': 8.496082775064233, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1064, 3, [799, 533, 913, 1009], [3, 3, 2, 3]], 'cm_discs': [], 'conrey_index': 305, 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 8, 14, 4, 1]], [5, [1, -1, 1]], [11, [289, -34, 21, 2, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45037095818888232, 'hecke_ring_generator_nbound': 5, '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, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1064.2.q.k', 'level': 1064, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'minimal_twist': '1064.2.q.k', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+2\\beta _{2}-\\beta _{3})q^{3}+(1+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1064.2.q', 'trace_display': [0, -4, 2, 2], 'trace_hash': 1503303592942700995, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.023', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
Hide schema
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[0, 26, 31, 26], [-17, 11, -17, 0], [32, 0, 0, -9], [16, 12, 16, 0], [-49, -5, -49, 0], [0, -28, -36, -28], [20, -4, 20, 0], [-9, -1, -9, 0], [0, 30, 18, 30], [0, -28, 40, -28], [21, 0, 0, 43], [-2, 0, 0, 20], [-52, -18, -52, 0], [25, -5, 25, 0], [0, -8, -8, -8], [-26, 0, 0, -12], [0, -3, 15, -3], [-24, 0, 0, 0], [0, 4, -1, 4], [0, 15, 11, 15], [-8, 20, -8, 0], [-56, 0, 0, -4], [-8, 0, 0, 24], [0, 28, 8, 28], [-32, -15, -32, 0], [-24, 0, 0, 12], [14, 6, 14, 0], [-55, 0, 0, 21], [69, -2, 69, 0], [2, 56, 2, 0], [0, 9, -11, 9]], 'char_orbit_index': 17, 'field_poly': [4, 0, 2, 0, 1], 'hecke_orbit_code': 45037095818888232, 'hecke_ring_character_values': [[799, [1, 0, 0, 0]], [533, [1, 0, 0, 0]], [913, [-1, 0, -1, 0]], [1009, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '1064.2.q.k', 'level': 1064, 'maxp': 1999, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 4256, 'analytic_conductor': 8.496082775064233, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 17, 'char_orbit_label': 'q', 'char_order': 3, 'char_parity': 1, 'char_values': [1064, 3, [799, 533, 913, 1009], [3, 3, 2, 3]], 'conrey_index': 305, 'cusp_dim': 304, 'dim': 72, 'eis_dim': 32, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 1099545183272, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 16, 22], 'label': '1064.2.q', 'level': 1064, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 19], 'level_radical': 266, 'mf_dim': 336, 'mf_new_dim': 72, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 36, 'sturm_bound': 320, 'trace_bound': 7, 'trace_display': [0, 0, -4, -4], 'traces': [72, 0, 0, 0, -4, 0, -4, 0, -32, 0, 0, 0, 0, 0, -8, 0, -8, 0, 6, 0, 12, 0, -6, 0, -48, 0, -24, 0, 24, 0, 4, 0, -4, 0, 12, 0, 0, 0, 30, 0, -8, 0, 16, 0, -24, 0, 6, 0, 0, 0, 28, 0, -8, 0, -4, 0, 0, 0, 0, 0, 0, 0, 10, 0, -4, 0, 8, 0, -8, 0, -80, 0, 16, 0, -8, 0, -26, 0, 16, 0, -44, 0, -76, 0, 44, 0, -28, 0, -4, 0, 0, 0, -40, 0, 0, 0, 0, 0, 24, 0, -46, 0, -32, 0, 16, 0, 20, 0, 20, 0, 64, 0, 136, 0, -8, 0, 84, 0, 30, 0, -48, 0, -8, 0, 0, 0, -32, 0, 12, 0, 20, 0, 0, 0, -20, 0, 32, 0, -104, 0, -40, 0, -8, 0, 24, 0, -44, 0, -16, 0, -4, 0, -60, 0, 72, 0, 6, 0, 26, 0, -44, 0, 10, 0, 20, 0, 168, 0, -16, 0, 30, 0, 20, 0, 74, 0, -54, 0, 16, 0, 72, 0, 88, 0, -36, 0, -6, 0, -168, 0, -48, 0, 8, 0, -80, 0, -12, 0, -76, 0, 20, 0, 68, 0, 48, 0, -8, 0, 40, 0, 144, 0, -12, 0, 28, 0, 24, 0, 40, 0, 68, 0, 16, 0, 216, 0, -68, 0, 68, 0, -152, 0, -2, 0, 6, 0, 48, 0, 48, 0, -48, 0, -44, 0, 46, 0, 0, 0, -88, 0, -160, 0, -24, 0, -164, 0, -60, 0, 36, 0, -96, 0, -18, 0, -160, 0, 192, 0, -28, 0, -10, 0, -76, 0, -46, 0, 44, 0, -176, 0, 160, 0, -56, 0, -16, 0, -20, 0, -60, 0, 44, 0, -88, 0, 152, 0, -8, 0, 20, 0, -82, 0, -80, 0, -82, 0, 16, 0, -16, 0, 72, 0, 78, 0, 142, 0, 84, 0, 0, 0, 132, 0, 0, 0, 4, 0, 166, 0, 162, 0, 24, 0, -52, 0, -96, 0, 32, 0, -76, 0, 20, 0, 110, 0, -140, 0, -20, 0, 160, 0, 4, 0, -44, 0, 0, 0, -128, 0, 48, 0, -36, 0, -184, 0, 12, 0, 106, 0, 8, 0, 28, 0, -36, 0, -68, 0, -28, 0, -128, 0, 100, 0, -36, 0, -94, 0, -64, 0, 4, 0, -120, 0, 128, 0, -136, 0, -12, 0, -6, 0, -48, 0, -60, 0, 384, 0, 112, 0, -8, 0, -32, 0, -160, 0, 24, 0, -52, 0, -204, 0, -216, 0, -74, 0, -110, 0, 62, 0, -12, 0, 32, 0, 120, 0, 336, 0, -26, 0, -76, 0, 84, 0, 4, 0, -44, 0, -448, 0, 8, 0, -24, 0, 160, 0, 112, 0, -8, 0, 68, 0, 8, 0, 76, 0, 136, 0, 80, 0, -120, 0, -60, 0, -110, 0, -60, 0, -136, 0, 70, 0, -16, 0, 144, 0, -56, 0, 4, 0, -48, 0, -76, 0, 52, 0, -98, 0, 116, 0, -24, 0, -52, 0, 308, 0, 208, 0, -76, 0, -8, 0, -164, 0, -18, 0, 20, 0, 120, 0, 376, 0, 152, 0, 52, 0, 0, 0, 24, 0, -6, 0, 264, 0, 24, 0, 104, 0, -48, 0, 138, 0, -76, 0, 120, 0, -96, 0, -8, 0, -16, 0, 0, 0, 64, 0, 232, 0, -8, 0, 32, 0, 24, 0, -112, 0, 56, 0, -24, 0, 40, 0, 78, 0, 8, 0, -132, 0, -152, 0, 8, 0, 24, 0, -136, 0, -108, 0, -200, 0, 0, 0, -76, 0, -54, 0, -200, 0, 24, 0, -24, 0, -24, 0, -264, 0, 6, 0, -64, 0, -86, 0, 88, 0, 0, 0, -384, 0, 156, 0, 66, 0, -156, 0, 320, 0, -188, 0, -20, 0, 152, 0, -108, 0, -174, 0, -160, 0, 12, 0, 348, 0, 16, 0, 360, 0, 224, 0, -112, 0, 168, 0, 220, 0, -4, 0, -30, 0, -40, 0, -64, 0, 180, 0, -34, 0, 6, 0, 108, 0, 164, 0, -248, 0, 32, 0, -56, 0, 48, 0, -28, 0, -38, 0, 176, 0, -68, 0, 40, 0, -2, 0, 92, 0, -240, 0, 34, 0, -60, 0, 192, 0, -92, 0, 18, 0, 220, 0, -220, 0, -178, 0, 188, 0, 24, 0, -296, 0, 60, 0, -28, 0, -320, 0, -128, 0, 44, 0, 32, 0, 292, 0, -14, 0, 12, 0, 440, 0, 112, 0, -32, 0, 48, 0, 224, 0, -212, 0, -26, 0, 0, 0, 48, 0, 148, 0, -88, 0, 24, 0, -164, 0, 56, 0, -356, 0, -18, 0, -158, 0, -128, 0, -232, 0, 44, 0, 176, 0, 366, 0, 8, 0, -116, 0, -312, 0, -128, 0, -140, 0, -96, 0, -376, 0, -56, 0, 60, 0, -248, 0, -116, 0, -236, 0, 132, 0, -102, 0, -72, 0, 80, 0, 224, 0, 184, 0, 72, 0, -12, 0, -200, 0, -64, 0, -120, 0, -416, 0, 16, 0, -56, 0, 0, 0, -336, 0, -244, 0, -280, 0, 40, 0, 384, 0, 84, 0, 20, 0, -86, 0, -8, 0, 120, 0, 68, 0, 0, 0, -68, 0, 52, 0, 348, 0, 60, 0, 28, 0, 256, 0, 80, 0, -46, 0, 204, 0, 182, 0, -92, 0, 154, 0, 156, 0, -88, 0, -152, 0, 96, 0, -292, 0, 268, 0, 12, 0, 0, 0, 164, 0, 300, 0, 88, 0, -60, 0, -104, 0, 64, 0, 212, 0, -248, 0, 272, 0, -256, 0, 30, 0, 42, 0, -24, 0, -72, 0, 200, 0, -44, 0, -26, 0, -16, 0, -100, 0, -4, 0, 512, 0, -472, 0, 60, 0, 12, 0, -208, 0, -20, 0, -68, 0, 348, 0, -296, 0, 128, 0, -280, 0, 146, 0, -124, 0, -100, 0, -528, 0, 20, 0, -42, 0, -68, 0, 52, 0, 422, 0, -212, 0, -48, 0, -480, 0, 48, 0, 96, 0, 628, 0, 212, 0, 36, 0, 100, 0, -160, 0, 204, 0, 2, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 635965
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1064.2.q.k', 'source_level': 1064, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1064.2.q.k', 'target_level': 1064, 'twist_class_label': '1064.2.q.k', 'twist_class_level': 1064, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 635966
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1064.2.q.k', 'source_level': 1064, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': True, 'target_label': '1064.2.q.k', 'target_level': 1064, 'twist_class_label': '1064.2.q.k', 'twist_class_level': 1064, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 635967
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1064.2.q.k', 'source_level': 1064, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 24, 'target_is_minimal': False, 'target_label': '7448.2.a.x', 'target_level': 7448, 'twist_class_label': '1064.2.q.k', 'twist_class_level': 1064, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 635968
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 17, 'source_dim': 4, 'source_hecke_orbit': 11, 'source_is_minimal': True, 'source_label': '1064.2.q.k', 'source_level': 1064, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '7448.2.a.bd', 'target_level': 7448, 'twist_class_label': '1064.2.q.k', 'twist_class_level': 1064, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1647725
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 45037095818888232, 'p': 2}
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id: 1647726
{'charpoly_factorization': [[[4, 8, 14, 4, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 3}
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id: 1647727
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 5}
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id: 1647728
{'charpoly_factorization': [[[49, -14, -3, -2, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 7}
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id: 1647729
{'charpoly_factorization': [[[289, -34, 21, 2, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 11}
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id: 1647730
{'charpoly_factorization': [[[2, 4, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 13}
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id: 1647731
{'charpoly_factorization': [[[64, -64, 56, -8, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 17}
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id: 1647732
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 19}
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id: 1647733
{'charpoly_factorization': [[[49, 42, 29, 6, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 23}
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id: 1647734
{'charpoly_factorization': [[[62, 16, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 29}
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id: 1647735
{'charpoly_factorization': [[[1156, 408, 110, 12, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 31}
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id: 1647736
{'charpoly_factorization': [[[3844, -992, 194, -16, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 37}
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id: 1647737
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 41}
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id: 1647738
{'charpoly_factorization': [[[-17, -2, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 43}
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id: 1647739
{'charpoly_factorization': [[[81, -54, 45, 6, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 47}
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id: 1647740
{'charpoly_factorization': [[[196, -112, 50, -8, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 53}
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id: 1647741
{'charpoly_factorization': [[[16, -16, 20, 4, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 59}
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id: 1647742
{'charpoly_factorization': [[[25, -5, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 61}
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id: 1647743
{'charpoly_factorization': [[[784, 336, 116, 12, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 67}
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id: 1647744
{'charpoly_factorization': [[[126, 24, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 71}
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id: 1647745
{'charpoly_factorization': [[[49, -7, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 73}
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id: 1647746
{'charpoly_factorization': [[[3844, 744, 206, -12, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 79}
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id: 1647747
{'charpoly_factorization': [[[-73, -10, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 83}
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id: 1647748
{'charpoly_factorization': [[[56644, 952, 254, -4, 1], 1]], 'hecke_orbit_code': 45037095818888232, 'p': 89}
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id: 1647749
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 45037095818888232, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 17, 'hecke_orbit': 11, 'label': '1064.2.q.k', 'level': 1064, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 55591495
{'hecke_orbit_code': 45037095818888232, 'n': 1, 'trace_an': 4}
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id: 55591496
{'hecke_orbit_code': 45037095818888232, 'n': 2, 'trace_an': 0}
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id: 55591497
{'hecke_orbit_code': 45037095818888232, 'n': 3, 'trace_an': -4}
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id: 55591498
{'hecke_orbit_code': 45037095818888232, 'n': 4, 'trace_an': 0}
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id: 55591499
{'hecke_orbit_code': 45037095818888232, 'n': 5, 'trace_an': 2}
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id: 55591500
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