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mf_newforms • Show schema
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{'Nk2': 3800, 'analytic_conductor': 7.585788192021637, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, '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': [950, 3, [77, 401], [3, 2]], 'cm_discs': [], 'conrey_index': 201, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [1, -1, 1]], [7, [-2, 1]], [11, [0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675685302, 'hecke_ring_generator_nbound': 2, '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, 19, 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': '950.2.e.g', 'level': 950, '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, 5, 19], 'level_radical': 190, 'minimal_twist': '950.2.e.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(1-\\zeta_{6})q^{2}+(1-\\zeta_{6})q^{3}-\\zeta_{6}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '950.2.e', 'trace_display': [1, 1, 0, 4], 'trace_hash': 1229767136469768676, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.897', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.473', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.627', 'prec': 20}, {'__RealLiteral__': 0, 'data': '6.446', 'prec': 17}, {'__RealLiteral__': 0, 'data': '94.286', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, 1, 1, -1, 0, -1, 4, -2, 2, 0, 0, -2, 6, 2, 0, -1, 7, 4, 7, 0, 2, 0, 2, -1, 0, 12, 10, -2, -10, 0, -4, 1, 0, -7, 0, 2, -8, -1, 12, 0, -2, -2, -12, 0, 0, 4, 0, 1, -6, 0, -7, 6, 0, 5, 0, -4, -1, -20, 1, 0, -8, -2, 4, 2, 0, 0, 8, -14, 4, 0, 12, -2, -3, -4, 0, -8, 0, 6, 4, 0, -1, 2, 26, -4, 0, 12, -20, 0, 13, 0, 12, 2, -2, 0, 0, 2, 15, -3, 0, 0, -2, -14, -24, -6, 0, 0, -30, -5, 2, 0, -4, -2, -2, -8, 0, -10, -12, -1, 14, 0, -22, -16, 2, 2, 0, 8, 12, 1, 12, 0, -1, 0, 14, 16, 0, -7, 15, 2, 0, 0, 0, -12, 0, -4, 0, 3, -3, 4, -16, 0, -24, -7, 28, 0, 0, -6, 6, -4, 0, 0, 4, 1, 24, 4, 0, 13, 10, -2, -23, 0, 16, 24, 6, -10, 0, 0, -1, 26, -18, 0, -20, 24, -16, -2, 0, 2, 0, 0, 20, 0, -20, 1, 11, -15, 0, 3, -8, 0, 16, 0, 16, -4, -20, -7, 0, -12, -4, -12, 0, 0, -23, 0, -12, -15, 0, -10, -8, -2, 3, 0, 84, 4, -2, 2, 0, -1, -26, -7, -36, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [1, -1], [1, -1], [0, -1], [0, 0], [0, -1], [2, 0], [-1, 0], [0, 2], [0, 0], [0, 0], [-1, 0], [0, 6], [2, -2], [0, 0], [-1, 1], [7, -7], [2, 0], [5, -3], [0, 0], [2, -2], [0, 0], [0, 2], [-1, 1], [0, 0], [6, 0], [5, 0], [0, -2], [0, -10], [0, 0], [-2, 0], [0, 1], [0, 0], [0, -7], [0, 0], [2, -2], [-4, 0], [2, -5], [6, 0], [0, 0], [-2, 2], [0, -2], [-12, 12], [0, 0], [0, 0], [2, 0], [0, 0], [0, 1], [-3, 0], [0, 0], [0, -7], [6, -6], [0, 0], [5, -5], [0, 0], [-2, 0], [2, -5], [-10, 0], [1, -1], [0, 0], [0, -8], [-2, 2], [0, 4], [1, 0], [0, 0], [0, 0], [0, 8], [-7, 0], [2, 0], [0, 0], [12, -12], [0, -2], [-3, 3], [-4, 4], [0, 0], [-3, -2], [0, 0], [6, -6], [4, -4], [0, 0], [-1, 1], [0, 2], [13, 0], [-2, 0], [0, 0], [0, 12], [-10, 0], [0, 0], [0, 13], [0, 0], [0, 12], [2, -2], [-2, 2], [0, 0], [0, 0], [1, 0], [15, -15], [-3, 3], [0, 0], [0, 0]], 'ap': [[1, -1], [1, -1], [0, 0], [2, 0], [0, 0], [0, 6], [7, -7], [5, -3], [0, 2], [0, -10], [-2, 0], [-4, 0], [-2, 2], [-12, 12], [0, 0], [0, 0], [1, -1], [0, -8], [0, 8], [12, -12], [-3, 3], [4, -4], [13, 0], [0, 13], [15, -15], [0, -2], [-12, 0], [-15, 0], [2, -2], [-1, 0], [0, 12], [-1, 1], [0, 15], [0, 0], [-16, 16], [-12, 0], [6, -6], [12, 0], [0, 10], [6, -6], [-9, 0], [0, -20], [-10, 0], [11, -11], [-4, 0], [0, 16], [-23, 23], [-2, 2], [-13, 0], [-18, 0], [13, -13], [-6, 0], [0, -14], [0, 20], [0, -15], [14, -14], [-26, 26], [-26, 26], [22, 0], [0, -7], [-28, 28], [-32, 0], [-19, 19], [30, 0], [0, 11], [0, -24], [-17, 0], [-22, 22], [-12, 12], [16, 0], [3, 0], [24, -24], [0, -8], [6, 0], [-1, 0], [-12, 12], [0, -18], [14, -14], [6, -6], [0, -2], [13, 0], [-34, 34], [0, -30], [0, -21], [8, -8], [0, 36], [41, 0], [-11, 0], [-2, 2], [22, 0], [-23, 0], [0, -24], [-20, 0], [-8, 8], [33, -33], [0, 8], [0, -6], [-6, 0], [0, -29], [0, 10], [0, -1], [0, -2], [43, 0], [1, 0], [1, 0], [34, 0], [45, -45], [0, -14], [0, 12], [35, 0], [-14, 0], [-14, 14], [0, -7], [4, 0], [0, -48], [39, -39], [-25, 25], [12, 0], [12, 0], [0, -3], [0, 4], [26, 0], [-26, 0], [-15, 0], [37, 0], [24, -24], [0, 28], [-32, 32], [-14, 14], [6, 0], [-47, 47], [26, -26], [0, 26], [32, -32], [-6, 0], [0, 23], [0, 6], [29, 0], [8, 0], [45, 0], [0, -44], [0, -46], [0, -8], [0, 36], [-30, 0], [-24, 24], [-44, 44], [-18, 18], [0, 25], [0, 0], [-10, 10], [-37, 0], [0, 13], [0, -28], [-53, 53], [-8, 0], [56, 0], [3, -3], [0, 1], [0, -44], [52, -52], [-2, 2], [12, -12], [45, -45], [42, 0], [-24, 24], [40, -40], [0, 22]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 27021872675685302, 'hecke_ring_character_values': [[77, [1, 0]], [401, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '950.2.e.g', 'level': 950, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3800, 'analytic_conductor': 7.585788192021637, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [950, 3, [77, 401], [3, 2]], 'conrey_index': 201, 'cusp_dim': 276, 'dim': 66, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 274911462326, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 8, 8, 10, 10], 'label': '950.2.e', 'level': 950, '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, 5, 19], 'level_radical': 190, 'mf_dim': 324, 'mf_new_dim': 66, 'num_forms': 15, 'prim_orbit_index': 3, 'relative_dim': 33, 'sturm_bound': 300, 'trace_bound': 11, 'trace_display': [-1, -1, 0, -12], 'traces': [66, -1, -1, -33, 0, 1, -12, 2, -36, 0, -2, 2, 10, -2, 0, -33, -2, -12, 25, 0, 26, -1, -8, 1, 0, -12, 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-484, -62, -76, 430, 0, 347, 28, -14, -108, 0, -20, -58, 139, 120, 0, 496, 48, 160, -61, 0, -164, -344, 56, -696, 0, 92, 0, 73, -116, 0, -158, -42, -141, -120, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 583586
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '950.2.e.g', 'source_level': 950, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '950.2.e.b', 'target_level': 950, 'twist_class_label': '950.2.e.b', 'twist_class_level': 950, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 583587
{'conductor': 95, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '950.2.e.g', 'source_level': 950, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '950.2.e.b', 'target_level': 950, 'twist_class_label': '950.2.e.b', 'twist_class_level': 950, 'twisting_char_label': '95.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 583588
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '950.2.e.g', 'source_level': 950, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '950.2.e.g', 'target_level': 950, 'twist_class_label': '950.2.e.b', 'twist_class_level': 950, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 583589
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '950.2.e.g', 'source_level': 950, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '950.2.e.g', 'target_level': 950, 'twist_class_label': '950.2.e.b', 'twist_class_level': 950, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 583590
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '950.2.e.g', 'source_level': 950, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '950.2.j.b', 'target_level': 950, 'twist_class_label': '950.2.e.b', 'twist_class_level': 950, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 583591
{'conductor': 95, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '950.2.e.g', 'source_level': 950, 'target_char_orbit': 10, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '950.2.j.b', 'target_level': 950, 'twist_class_label': '950.2.e.b', 'twist_class_level': 950, 'twisting_char_label': '95.m', 'twisting_char_orbit': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1524800
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 2}
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id: 1524801
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 3}
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id: 1524802
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 5}
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id: 1524803
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 7}
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id: 1524804
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 11}
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id: 1524805
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 13}
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id: 1524806
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 17}
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id: 1524807
{'charpoly_factorization': [[[19, -7, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 19}
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id: 1524808
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 23}
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id: 1524809
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 29}
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id: 1524810
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 31}
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id: 1524811
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 37}
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id: 1524812
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 41}
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id: 1524813
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 43}
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id: 1524814
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 47}
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id: 1524815
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 53}
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id: 1524816
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 59}
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id: 1524817
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 61}
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id: 1524818
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 67}
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id: 1524819
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 71}
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id: 1524820
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 73}
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id: 1524821
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 79}
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id: 1524822
{'charpoly_factorization': [[[-13, 1], 2]], 'hecke_orbit_code': 27021872675685302, 'p': 83}
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id: 1524823
{'charpoly_factorization': [[[169, -13, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 89}
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id: 1524824
{'charpoly_factorization': [[[225, -15, 1], 1]], 'hecke_orbit_code': 27021872675685302, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '950.2.e.g', 'level': 950, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47302471
{'hecke_orbit_code': 27021872675685302, 'n': 1, 'trace_an': 2}
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id: 47302472
{'hecke_orbit_code': 27021872675685302, 'n': 2, 'trace_an': 1}
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id: 47302473
{'hecke_orbit_code': 27021872675685302, 'n': 3, 'trace_an': 1}
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id: 47302474
{'hecke_orbit_code': 27021872675685302, 'n': 4, 'trace_an': -1}
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id: 47302475
{'hecke_orbit_code': 27021872675685302, 'n': 5, 'trace_an': 0}
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id: 47302476
{'hecke_orbit_code': 27021872675685302, 'n': 6, 'trace_an': -1}
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id: 47302477
{'hecke_orbit_code': 27021872675685302, 'n': 7, 'trace_an': 4}
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id: 47302478
{'hecke_orbit_code': 27021872675685302, 'n': 8, 'trace_an': -2}
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id: 47302479
{'hecke_orbit_code': 27021872675685302, 'n': 9, 'trace_an': 2}
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id: 47302480
{'hecke_orbit_code': 27021872675685302, 'n': 10, 'trace_an': 0}
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id: 47302481
{'hecke_orbit_code': 27021872675685302, 'n': 11, 'trace_an': 0}
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id: 47302482
{'hecke_orbit_code': 27021872675685302, 'n': 12, 'trace_an': -2}
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id: 47302483
{'hecke_orbit_code': 27021872675685302, 'n': 13, 'trace_an': 6}
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id: 47302484
{'hecke_orbit_code': 27021872675685302, 'n': 14, 'trace_an': 2}
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id: 47302485
{'hecke_orbit_code': 27021872675685302, 'n': 15, 'trace_an': 0}
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id: 47302486
{'hecke_orbit_code': 27021872675685302, 'n': 16, 'trace_an': -1}
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id: 47302487
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