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{'Nk2': 30968, 'analytic_conductor': 61.82018124487527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [79, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7742, 1, [2845, 4901], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 148, 'field_disc_factorization': [[2, 2], [37, 1]], 'field_poly': [1, -3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [2, -2, -2, 1]], [5, [4, 0, -4, 1]], [11, [16, -16, 0, 1]]], 'hecke_orbit': 23, 'hecke_orbit_code': 99079191835713086, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7742.2.a.w', 'level': 7742, '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, 79], 'level_radical': 1106, 'minimal_twist': '1106.2.a.i', 'nf_label': '3.3.148.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(1-\\beta _{1})q^{3}+q^{4}+(1+\\beta _{1}+\\beta _{2})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7742.2.a', 'trace_display': [3, 2, 4, 0], 'trace_hash': 2213707592445818147, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.991', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.132', 'prec': 17}, {'__RealLiteral__': 0, 'data': '24.385', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '289.917', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.014', 'prec': 17}, 'traces': [3, 3, 2, 3, 4, 2, 0, 3, -1, 4, 0, 2, 4, 0, -2, 3, 12, -1, 10, 4, 0, 0, 4, 2, 1, 4, 2, 0, -6, -2, 10, 3, 4, 12, 0, -1, 2, 10, -6, 4, 10, 0, -2, 0, 0, 4, -10, 2, 0, 1, 8, 4, -8, 2, 12, 0, 2, -6, 8, -2, 14, 10, 0, 3, 4, 4, -8, 12, -2, 0, 8, -1, 12, 2, -22, 10, 0, -6, 3, 4, -5, 10, 14, 0, 16, -2, -10, 0, -8, 0, 0, 4, 2, -10, 24, 2, -18, 0, 20, 1, 0, 8, 10, 4, 0, -8, 22, 2, -12, 12, -10, 0, 0, 2, 16, -6, -20, 8, 0, -2, -1, 14, 20, 10, 12, 0, 14, 3, 2, 4, -10, 4, 0, -8, 24, 12, -2, -2, 8, 0, 16, 8, -20, -1, -26, 12, 0, 2, -20, -22, 12, 10, -4, 0, 24, -6, 36, 3, 6, 4, 0, -5, 4, 10, 8, 14, -8, 0, -15, 16, -2, -2, -18, -10, 0, 0, 20, -8, -12, 0, 20, 0, 52, 4, 18, 2, 0, -10, 0, 24, 12, 2, 8, -18, -20, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0], [1, 0, 0], [1, -1, 0], [1, 0, 0], [1, 1, 1], [1, -1, 0], [0, 0, 0], [1, 0, 0], [0, -1, 1], [1, 1, 1], [0, 0, 2], [1, -1, 0], [1, 1, -1], [0, 0, 0], [0, -2, 0], [1, 0, 0], [4, 0, 0], [0, -1, 1], [3, 1, 1], [1, 1, 1], [0, 0, 0], [0, 0, 2], [1, 1, 1], [1, -1, 0], [-1, 4, 2], [1, 1, -1], [0, 2, 2], [0, 0, 0], [-2, 0, -3], [0, -2, 0], [3, 1, 1], [1, 0, 0], [2, -2, 2], [4, 0, 0], [0, 0, 0], [0, -1, 1], [0, 2, 1], [3, 1, 1], [-2, 0, -2], [1, 1, 1], [4, -2, 0], [0, 0, 0], [0, -2, -5], [0, 0, 2], [1, -3, -1], [1, 1, 1], [-2, -4, -2], [1, -1, 0], [0, 0, 0], [-1, 4, 2], [4, -4, 0], [1, 1, -1], [-2, -2, -1], [0, 2, 2], [4, 0, 0], [0, 0, 0], [2, -4, 0], [-2, 0, -3], [3, -1, 4], [0, -2, 0], [7, -7, -2], [3, 1, 1], [0, 0, 0], [1, 0, 0], [0, 4, 2], [2, -2, 2], [-2, -2, 0], [4, 0, 0], [0, -2, 0], [0, 0, 0], [4, -4, 0], [0, -1, 1], [3, 3, 1], [0, 2, 1], [-7, -1, -2], [3, 1, 1], [0, 0, 0], [-2, 0, -2], [1, 0, 0], [1, 1, 1], [-2, 1, -3], [4, -2, 0], [3, 5, -3], [0, 0, 0], [4, 4, 4], [0, 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[0, -36, -50], [64, -14, -4], [-12, -8, 20], [8, -6, -40], [29, -15, -33], [53, -27, -1], [55, -3, 9], [0, 20, 16], [51, -9, -20], [22, -18, -38], [-46, 16, 16], [-17, 17, 10], [-69, -7, 9]], 'char_orbit_index': 1, 'field_poly': [1, -3, -1, 1], 'hecke_orbit_code': 99079191835713086, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1], 'hecke_ring_inverse_denominators': [1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0], [0, 1, 0], [2, 1, 1]], 'hecke_ring_numerators': [[1, 0, 0], [0, 1, 0], [-2, -1, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 3, 'label': '7742.2.a.w', 'level': 7742, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [29, 37, 37, 31, 35, 27, 32, 38], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [3, 4, 4, 4, 4, 4, 4, 4], 'ALdims_old': [96, 115, 115, 93, 97, 117, 112, 94], 'Nk2': 30968, 'analytic_conductor': 61.82018124487527, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7742, 1, [2845, 4901], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1105, 'dim': 266, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33562174, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 13, 13, 16, 24], 'label': '7742.2.a', 'level': 7742, '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, 79], 'level_radical': 1106, 'mf_dim': 1136, 'mf_new_dim': 266, 'num_forms': 47, 'plus_dim': 119, 'prim_orbit_index': 1, 'relative_dim': 266, 'sturm_bound': 2240, 'trace_bound': 11, 'trace_display': [-2, -6, 0, 0], 'traces': [266, -2, -6, 266, 0, 2, 0, -2, 262, -4, 4, -6, -12, 0, -16, 266, 0, -10, -12, 0, 0, 4, 4, 2, 250, 0, 0, 0, 6, 24, -16, -2, 8, -16, 0, 262, -22, 4, 16, -4, 0, 0, 2, 4, -16, 28, -28, -6, 0, -54, -16, -12, -2, 8, -12, 0, 0, -34, -26, -16, -2, 16, 0, 266, -44, -16, -4, 0, -56, 0, 28, -10, 12, -30, 2, -12, 0, 24, 0, 0, 250, -24, 12, 0, 24, -14, 40, 4, -8, 8, 0, 4, 64, 36, 60, 2, -16, 0, -32, 250, 20, -24, -28, 0, 0, 22, -46, 0, 50, 36, 4, 0, 20, -32, 16, 6, 4, 6, 0, 24, 290, -2, 64, -16, 0, 0, -12, -2, 24, -32, 56, 8, 0, -60, -164, -16, -64, 24, -18, 0, -32, 20, 12, 262, -36, -4, 0, -22, -10, 26, 20, 4, 96, 0, -124, 16, -54, -4, -32, -4, 0, -58, 0, 0, 48, -12, 4, 0, 298, -32, -24, 2, 2, 56, 0, 4, -132, 20, -84, -16, -16, 0, 132, 28, 44, 0, 96, -28, 0, 76, -48, -6, 96, -12, 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0, -220, 108, -16, 0, -12, 0, -86, 48, -130, 42, 20, -12, 0, -6, 24, 4, 224, -72, 72, 0, 72, -28, 148, 298, -24, 0, 0, -32, -296, 104, 144, -24, -40, 0, 0, 2, -148, -80, -30, 2, 0, 96, 104, 56, -360, -110, -56, 0, -98, 252, 32, 4, 44, -44, 0, -132, -90, 4, 0, 20, -56, 0, -228, -84, -64, 52, 152, -16, 0, 14, -96, -16, 50, 26, 132, 0, 298, -232, -68, 132, -120, 44, 0, 28, 24, -96, 22, 44, 72, 0, 196, 0, -36, -170, -84, 96, 0, 252, 12, -28, 124, 36, -68, 0, -8, -102, 88, 76, -60, 84, 0, -48, 272, -8, 416, -6, -32, 0, 196, 96, 20, -166, 172, -12, 0, -44, -32, 196, -448, 96, 76, 0, -340, 136, -20, 58, -192, 8, 0, -32, -108, 8, 100, -16, 70, 0, 316, -54, 164, 56, 24, 72, 0, -132, 64, -40, 96, -132, -20, 0, 0, -32, -24, -16, -64, -208, 0, 56, -72, 44, 12, 68, -120, 0, -38, 4, -118, 88, -24, -12, 0, 64, 140, 72, 208, -26, -56, 0, -10, 52, 16, 2, 192, 176, 0, -2, 312, -152, -168, 144, -58, 0, 536, 66, 64, 224, -66, -36, 0, 32, 96, 8, 44, -36, 430, 0, -16, 12, -264, 10, 260, 80, 0, 4, 128, -104, 192, -12, 220, 0, -42, 0, -160, -158, 236, 44, 0, -60, 172, -28, -16, 216, 188, 0, 336, -104, -40, 202, 76, 48, 0, -4, 144, -272, 96, 58, 324, 0, 100, 0, 112, 12, 368, 2, 0, -84, 180, 96, -168, -14, -220, 0, 142, -64, -24, -34, 80, 8, 0, -92, 248, 60, 184, 36, 68, 0, 76, -20, 132, 48, 160, -26, 0, -120, -150, 6, 40, 56, 328, 0, 152, 158, 76, -20, 376, 184, 0, -16, 450, -60, -50, 8, -272, 0, 8, -34, -72, 36, -272, 74, 0, -200, 708, -2, -152, -280, -84, 0, 234, -162, -48, -64, 60, -12, 0, 52, 64, 208, 308, 16, -64, 0, 100, 24, 108, 24, -176, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 1361949
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '7742.2.a.w', 'source_level': 7742, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '1106.2.a.i', 'target_level': 1106, 'twist_class_label': '1106.2.a.i', 'twist_class_level': 1106, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1361950
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '7742.2.a.w', 'source_level': 7742, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 23, 'target_is_minimal': False, 'target_label': '7742.2.a.w', 'target_level': 7742, 'twist_class_label': '1106.2.a.i', 'twist_class_level': 1106, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1361951
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '7742.2.a.w', 'source_level': 7742, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '8848.2.a.l', 'target_level': 8848, 'twist_class_label': '1106.2.a.i', 'twist_class_level': 1106, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1361952
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 23, 'source_is_minimal': False, 'source_label': '7742.2.a.w', 'source_level': 7742, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '9954.2.a.q', 'target_level': 9954, 'twist_class_label': '1106.2.a.i', 'twist_class_level': 1106, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4558000
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 99079191835713086, 'p': 2}
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id: 4558001
{'charpoly_factorization': [[[2, -2, -2, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 3}
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id: 4558002
{'charpoly_factorization': [[[4, 0, -4, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 5}
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id: 4558003
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 99079191835713086, 'p': 7}
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id: 4558004
{'charpoly_factorization': [[[16, -16, 0, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 11}
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id: 4558005
{'charpoly_factorization': [[[20, -4, -4, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 13}
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id: 4558006
{'charpoly_factorization': [[[-4, 1], 3]], 'hecke_orbit_code': 99079191835713086, 'p': 17}
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id: 4558007
{'charpoly_factorization': [[[-20, 28, -10, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 19}
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id: 4558008
{'charpoly_factorization': [[[4, 0, -4, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 23}
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id: 4558009
{'charpoly_factorization': [[[-118, -24, 6, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 29}
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id: 4558010
{'charpoly_factorization': [[[-20, 28, -10, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 31}
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id: 4558011
{'charpoly_factorization': [[[-10, -12, -2, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 37}
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id: 4558012
{'charpoly_factorization': [[[8, 20, -10, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 41}
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id: 4558013
{'charpoly_factorization': [[[-398, -92, 2, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 43}
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id: 4558014
{'charpoly_factorization': [[[8, -20, 10, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 47}
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id: 4558015
{'charpoly_factorization': [[[2, 8, 8, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 53}
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id: 4558016
{'charpoly_factorization': [[[206, -54, -8, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 59}
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id: 4558017
{'charpoly_factorization': [[[1202, -86, -14, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 61}
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id: 4558018
{'charpoly_factorization': [[[-16, 8, 8, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 67}
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id: 4558019
{'charpoly_factorization': [[[128, -32, -8, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 71}
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id: 4558020
{'charpoly_factorization': [[[-4, 20, -12, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 73}
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id: 4558021
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 99079191835713086, 'p': 79}
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id: 4558022
{'charpoly_factorization': [[[1292, -84, -14, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 83}
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id: 4558023
{'charpoly_factorization': [[[76, -68, 8, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 89}
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id: 4558024
{'charpoly_factorization': [[[104, 92, 18, 1], 1]], 'hecke_orbit_code': 99079191835713086, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 23, 'label': '7742.2.a.w', 'level': 7742, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 65608345
{'hecke_orbit_code': 99079191835713086, 'n': 1, 'trace_an': 3}
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id: 65608346
{'hecke_orbit_code': 99079191835713086, 'n': 2, 'trace_an': 3}
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id: 65608347
{'hecke_orbit_code': 99079191835713086, 'n': 3, 'trace_an': 2}
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id: 65608348
{'hecke_orbit_code': 99079191835713086, 'n': 4, 'trace_an': 3}
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id: 65608349
{'hecke_orbit_code': 99079191835713086, 'n': 5, 'trace_an': 4}
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id: 65608350
{'hecke_orbit_code': 99079191835713086, 'n': 6, 'trace_an': 2}
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id: 65608351
{'hecke_orbit_code': 99079191835713086, 'n': 7, 'trace_an': 0}
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id: 65608352
{'hecke_orbit_code': 99079191835713086, 'n': 8, 'trace_an': 3}
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id: 65608353
{'hecke_orbit_code': 99079191835713086, 'n': 9, 'trace_an': -1}
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id: 65608354
{'hecke_orbit_code': 99079191835713086, 'n': 10, 'trace_an': 4}
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id: 65608355
{'hecke_orbit_code': 99079191835713086, 'n': 11, 'trace_an': 0}
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id: 65608356
{'hecke_orbit_code': 99079191835713086, 'n': 12, 'trace_an': 2}
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id: 65608357
{'hecke_orbit_code': 99079191835713086, 'n': 13, 'trace_an': 4}
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