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mf_newforms • Show schema
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{'Nk2': 1524, 'analytic_conductor': 3.0423003170107825, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 127, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [381, 3, [128, 130], [3, 2]], 'cm_discs': [], 'conrey_index': 19, 'conrey_indexes': [19, 361], 'dim': 4, 'field_disc': 225, 'field_disc_factorization': [[3, 2], [5, 2]], 'field_poly': [1, 1, 2, -1, 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': [[2, [-1, 1, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461757, '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, 127, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '381.2.e.a', 'level': 381, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 127], 'level_radical': 381, 'minimal_twist': '381.2.e.a', 'nf_label': '4.0.225.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1-\\beta _{2})q^{2}+(1+\\beta _{3})q^{3}+\\beta _{2}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '381.2.e', 'trace_display': [-2, 2, -6, -3], 'trace_hash': 555729171308870522, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.984', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '57.093', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1323.056', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-1, 0, -1, 0], [1, 0, 0, 1], [0, 0, 1, 0], [-1, 0, 1, 0], [-1, 1, 0, -1], [-2, 1, 0, -2], [1, 0, 2, 0], [0, 0, 0, 1], [0, 0, 1, 0], [0, -2, -2, 3], [0, -1, 0, 0], [-3, -2, 0, -3], [3, -2, 0, 3], [-1, -1, 0, -1], [-3, 0, -3, 0], [0, 0, 0, 3], [0, 1, 1, -1], [-4, 0, 2, 0], [1, 0, -2, 0], [0, 1, 1, -2], [0, 3, 3, -5], [-3, 1, 0, -3], [1, -2, 0, 1], [-3, 0, -3, 0], [1, -3, 0, 1], [-1, 0, 0, 0], [-1, 1, 0, -1], [0, 4, 4, -1], [0, -1, 0, 0], [-4, 7, 0, -4], [4, 0, -1, 0], [-3, 0, -2, 0], [0, 3, 3, -3], [1, 0, 0, 1], [0, -1, -1, 0], [0, 2, 2, -3], [2, 0, 4, 0], [0, -2, -2, -3], [1, 0, -3, 0], [0, -4, -4, 10], [0, -2, -2, 3], [0, -2, -2, -2], [0, -1, -1, 2], [0, -1, -1, -1], [4, -3, 0, 4], [-6, 0, -11, 0], [-3, 3, 0, -3], [0, -3, -3, -2], [6, 0, 3, 0], [-3, 0, 0, 0], [2, 5, 0, 2], [0, 1, 1, 1], [1, 0, 1, 0], [0, 1, 1, -1], [-4, 3, 0, -4], [-4, -2, 0, -4], [0, -1, -1, 5], [0, 4, 4, 3], [1, 2, 0, 1], [-8, 0, -1, 0], [11, -4, 0, 11], [2, 0, 1, 0], [3, 0, 2, 0], [5, 7, 0, 5], [5, 0, 3, 0], [8, -7, 0, 8], [0, -3, -3, 0], [0, 1, 1, -3], [-1, 1, 0, -1], [-1, 1, 0, -1], [0, -2, -2, 1], [-1, 0, 5, 0], [0, -3, -3, 5], [-3, 3, 0, -3], [2, 0, -6, 0], [8, 0, 5, 0], [0, -3, -3, 1], [-3, -6, 0, -3], [0, 0, 3, 0], [-1, 0, 0, -1], [0, 10, 10, -14], [0, 2, 2, -5], [0, 1, 1, -1], [0, -3, -3, -3], [0, -2, -2, 0], [1, 0, 4, 0], [0, -4, -4, 7], [7, 0, 12, 0], [0, -1, -1, 0], [0, -1, -1, 4], [-1, 2, 0, -1], [0, 7, 7, -4], [17, 0, 6, 0], [6, 0, -8, 0], [4, 1, 0, 4], [9, -12, 0, 9], [0, -2, -2, -1], [-3, 2, 0, -3], [-3, 0, 0, 0]], 'ap': [[-1, 0, -1, 0], [1, 0, 0, 1], [-1, 0, 1, 0], [-2, 1, 0, -2], [0, -2, -2, 3], [-3, -2, 0, -3], [0, 0, 0, 3], [-4, 0, 2, 0], [-3, 1, 0, -3], [0, 4, 4, -1], [-4, 7, 0, -4], [0, 2, 2, -3], [0, -4, -4, 10], [0, -2, -2, -2], [-6, 0, -11, 0], [0, 1, 1, 1], [0, 4, 4, 3], [-8, 0, -1, 0], [8, -7, 0, 8], [-1, 1, 0, -1], [-1, 0, 5, 0], [-3, -6, 0, -3], [0, 2, 2, -5], [7, 0, 12, 0], [9, -12, 0, 9], [-7, 6, 0, -7], [12, -4, 0, 12], [0, 0, 9, 0], [0, -10, -10, 1], [10, 0, 0, 10], [-6, 0, 0, -13], [-15, 0, -1, 0], [2, 0, -9, 0], [-9, 7, 0, -9], [0, -6, -6, 2], [-6, -2, 0, -6], [1, 8, 0, 1], [0, 9, 9, 4], [-2, 0, 9, 0], [-3, -7, 0, -3], [-16, 0, 0, -16], [7, 0, 2, 0], [-6, 0, -5, 0], [-10, 0, 3, 0], [20, -7, 0, 20], [0, -18, -18, 11], [0, 4, 4, -2], [7, -4, 0, 7], [-12, 0, -6, 0], [9, 0, 1, 0], [0, 10, 10, 1], [-9, 11, 0, -9], [3, -2, 0, 3], [-11, -12, 0, -11], [18, -15, 0, 18], [0, -5, -5, 4], [0, -7, 0, 0], [0, 15, 15, 0], [-16, 14, 0, -16], [-13, 0, -27, 0], [0, 6, 6, -21], [0, 8, 8, 5], [0, 10, 10, 3], [-22, -2, 0, -22], [0, 14, 14, -16], [16, 0, 13, 0], [-3, 0, -14, 0], [0, 15, 15, -26], [0, -22, -22, 2], [8, 0, 10, 0], [14, 14, 0, 14], [0, 5, 5, 10], [-6, 16, 0, -6], [16, 0, -9, 0], [-27, 0, 5, 0], [-23, 0, -14, 0], [-13, 0, -26, 0], [-4, 0, -16, 0], [-4, 0, 13, 0], [28, -18, 0, 28], [-27, 0, 4, 0], [15, 0, 16, 0], [7, 0, 9, 0], [-22, 13, 0, -22], [0, 0, 0, 28], [18, -20, 0, 18], [0, -15, -15, -16], [-18, 0, -7, 0], [-22, 0, -1, 0], [0, 0, 0, -6], [0, -6, -6, 24], [0, 14, 14, 7], [0, -8, -8, 16], [0, 13, 13, -23], [0, -16, -16, 23], [-2, 0, -21, 0], [-30, 0, -5, 0], [17, 0, 0, 17], [-8, -12, 0, -8], [-2, 0, -4, 0], [0, 24, 24, -5], [0, 24, 24, -11], [0, 10, 10, -38], [5, 0, 18, 0], [-13, 0, -5, 0], [0, -6, -6, -22], [-1, 18, 0, -1], [0, 4, 4, 35], [0, 6, 6, 3], [0, 18, 18, 6], [27, -25, 0, 27], [0, -3, -3, 34], [0, 16, 16, -7], [6, 0, 18, 0], [5, 0, -11, 0], [28, -21, 0, 28], [-35, 0, -21, 0], [9, -21, 0, 9], [0, -13, -13, -9], [-7, 27, 0, -7], [-9, -13, 0, -9], [-13, 0, -28, 0], [0, 18, 18, 3], [-7, 29, 0, -7], [9, -7, 0, 9], [-35, 0, 2, 0], [0, -20, -20, 21], [0, 6, 6, -8], [3, -21, 0, 3], [0, -13, -13, 27], [-26, -10, 0, -26], [11, 0, 17, 0], [0, 12, 12, -20], [0, 0, -26, 0], [-16, 0, -12, 0], [9, 27, 0, 9], [0, -17, -17, 0], [-19, 0, -32, 0], [1, 5, 0, 1], [8, 0, 18, 0], [0, 5, 5, -23], [0, -32, -32, 9], [31, 0, 24, 0], [15, -17, 0, 15], [-25, 33, 0, -25], [13, 0, 4, 0], [0, -7, -7, 33], [-2, 0, 21, 0], [15, -25, 0, 15], [-32, -5, 0, -32], [1, 27, 0, 1], [19, 0, 24, 0], [26, -12, 0, 26], [-25, 0, -31, 0], [0, 22, 22, -39], [0, -16, -16, -9], [-38, 25, 0, -38], [2, 0, 31, 0], [-43, -3, 0, -43], [-39, 3, 0, -39], [0, 23, 23, -10], [17, 0, 1, 0], [0, -27, -27, -6], [0, 9, 9, -32], [0, -25, -25, 17], [6, 0, -15, 0], [-23, 0, -4, 0], [-15, 0, -14, 0]], 'char_orbit_index': 5, 'field_poly': [1, 1, 2, -1, 1], 'hecke_orbit_code': 274911461757, 'hecke_ring_character_values': [[128, [1, 0, 0, 0]], [130, [0, 0, 0, 1]]], '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, 1, 1, 1], [-1, 0, 2, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [1, 0, 0, 1], [-1, -2, 2, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '381.2.e.a', 'level': 381, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1524, 'analytic_conductor': 3.0423003170107825, 'char_conductor': 127, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [381, 3, [128, 130], [3, 2]], 'conrey_index': 19, 'cusp_dim': 80, 'dim': 44, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461757, 'hecke_orbit_dims': [4, 16, 24], 'label': '381.2.e', 'level': 381, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 127], 'level_radical': 381, 'mf_dim': 88, 'mf_new_dim': 44, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 22, 'sturm_bound': 85, 'trace_bound': 1, 'trace_display': [-4, -2, 0, -6], 'traces': [44, -4, -2, 44, 0, -2, -6, 0, -22, -4, -2, -14, -4, 14, -2, 44, 4, 2, -24, -16, -12, -2, -6, -6, 40, 0, 4, -4, 8, 12, 4, 16, 36, -2, 14, -22, -2, -8, -2, 28, 14, -6, -8, -22, 0, -4, 12, -14, -36, -72, 12, -32, 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-136, 180, 460, 96, -184, -306, 62, 126, 352, -96, 116, -116, 16, -152, 106, 60, 164, 50, 48, -44, 158, -40, 120, 44, 212, -8, -204, 154, 6, 168, -36, -46, -356, -44, -32, 108, -56, 168, 376, 0, 198, -54, -194, -2, -600, -50, 508, 240, -36, 212, -20, -36, 28, 108, 22, -138, -228, -32, -78, 228, 32, 54, 98, 540, -116, 104, -14, -354, -252, 54, 260, 26, -156, -52, 234, -26, 316, 140, -304, 12, -208, 14, -58, 432, 34, 120, -290, 162, 60, 96, -160, 320, 172, -14, -196], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 284705
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '381.2.e.a', 'source_level': 381, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '381.2.e.a', 'target_level': 381, 'twist_class_label': '381.2.e.a', 'twist_class_level': 381, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 284706
{'conductor': 127, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '381.2.e.a', 'source_level': 381, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '381.2.e.a', 'target_level': 381, 'twist_class_label': '381.2.e.a', 'twist_class_level': 381, 'twisting_char_label': '127.c', 'twisting_char_orbit': 3, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 803950
{'charpoly_factorization': [[[-1, 1, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 2}
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id: 803951
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 3}
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id: 803952
{'charpoly_factorization': [[[1, 3, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 5}
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id: 803953
{'charpoly_factorization': [[[1, 3, 8, 3, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 7}
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id: 803954
{'charpoly_factorization': [[[1, -4, 17, 4, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 11}
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id: 803955
{'charpoly_factorization': [[[121, 88, 53, 8, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 13}
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id: 803956
{'charpoly_factorization': [[[9, 3, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 17}
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id: 803957
{'charpoly_factorization': [[[20, 10, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 19}
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id: 803958
{'charpoly_factorization': [[[25, 25, 20, 5, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 23}
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id: 803959
{'charpoly_factorization': [[[361, -38, 23, 2, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 29}
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id: 803960
{'charpoly_factorization': [[[3721, -61, 62, 1, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 31}
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id: 803961
{'charpoly_factorization': [[[1, 4, 17, -4, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 37}
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id: 803962
{'charpoly_factorization': [[[1936, 704, 212, 16, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 41}
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id: 803963
{'charpoly_factorization': [[[16, -24, 32, -6, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 43}
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id: 803964
{'charpoly_factorization': [[[-151, 1, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 47}
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id: 803965
{'charpoly_factorization': [[[1, 3, 8, 3, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 53}
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id: 803966
{'charpoly_factorization': [[[25, 50, 95, 10, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 59}
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id: 803967
{'charpoly_factorization': [[[55, 15, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 61}
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id: 803968
{'charpoly_factorization': [[[1681, 369, 122, -9, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 67}
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id: 803969
{'charpoly_factorization': [[[1, -1, 2, 1, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 71}
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id: 803970
{'charpoly_factorization': [[[-19, 7, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 73}
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id: 803971
{'charpoly_factorization': [[[81, -108, 153, 12, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 79}
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id: 803972
{'charpoly_factorization': [[[121, -88, 53, -8, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 83}
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id: 803973
{'charpoly_factorization': [[[-179, -2, 1], 2]], 'hecke_orbit_code': 274911461757, 'p': 89}
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id: 803974
{'charpoly_factorization': [[[29241, 1026, 207, -6, 1], 1]], 'hecke_orbit_code': 274911461757, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '381.2.e.a', 'level': 381, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 29050000
{'hecke_orbit_code': 274911461757, 'n': 1, 'trace_an': 4}
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id: 29050001
{'hecke_orbit_code': 274911461757, 'n': 2, 'trace_an': -2}
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id: 29050002
{'hecke_orbit_code': 274911461757, 'n': 3, 'trace_an': 2}
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id: 29050003
{'hecke_orbit_code': 274911461757, 'n': 4, 'trace_an': -2}
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id: 29050004
{'hecke_orbit_code': 274911461757, 'n': 5, 'trace_an': -6}
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id: 29050005
{'hecke_orbit_code': 274911461757, 'n': 6, 'trace_an': -1}
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id: 29050006
{'hecke_orbit_code': 274911461757, 'n': 7, 'trace_an': -3}
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id: 29050007
{'hecke_orbit_code': 274911461757, 'n': 8, 'trace_an': 0}
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id: 29050008
{'hecke_orbit_code': 274911461757, 'n': 9, 'trace_an': -2}
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id: 29050009
{'hecke_orbit_code': 274911461757, 'n': 10, 'trace_an': -2}
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id: 29050010
{'hecke_orbit_code': 274911461757, 'n': 11, 'trace_an': -4}
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id: 29050011
{'hecke_orbit_code': 274911461757, 'n': 12, 'trace_an': -1}
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id: 29050012
{'hecke_orbit_code': 274911461757, 'n': 13, 'trace_an': -8}
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id: 29050013
{'hecke_orbit_code': 274911461757, 'n': 14, 'trace_an': 4}
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id: 29050014
{'hecke_orbit_code': 274911461757, 'n': 15, 'trace_an': -3}
-
id: 29050015
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