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mf_newforms • Show schema
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{'Nk2': 1140, 'analytic_conductor': 2.275736457606491, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [285, 3, [191, 172, 211], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 106, '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': [[2, [4, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044109597, '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, 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': '285.2.i.c', 'level': 285, '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': True, 'level_primes': [3, 5, 19], 'level_radical': 285, 'minimal_twist': '285.2.i.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(2-2\\zeta_{6})q^{2}+(1-\\zeta_{6})q^{3}-2\\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': '285.2.i', 'trace_display': [2, 1, 1, -4], 'trace_hash': 1252291237190361550, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.897', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.067', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '101.705', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.010', 'prec': 17}, 'traces': [2, 2, 1, -2, 1, -2, -4, 0, -1, -2, 2, -4, -2, -4, -1, 4, -2, -4, 1, -4, -2, 2, 4, 0, -1, -8, -2, 4, 5, -4, 18, -8, 1, 4, -2, -2, -12, 16, -4, 0, -6, 4, 10, -2, -2, 16, 0, -4, -6, -4, 2, -4, 2, -2, 1, 0, 8, 20, -7, -2, 7, 18, 2, -16, -4, -2, -8, 8, 8, 4, -3, 0, 2, -12, -2, 14, -4, -4, 11, -4, -1, 12, 12, 8, 2, -20, 10, 0, -15, -2, 4, 8, 9, 0, 8, -16, -8, -6, -1, -2, 7, 8, -16, 0, 2, 8, 0, 2, -19, -2, -6, -8, -20, 14, 8, 10, -2, 14, 4, 0, -20, 28, 6, -18, -2, 8, -4, 0, -10, -4, -16, -4, -2, -32, -1, 0, 6, 8, -20, 8, 0, 6, -2, -8, 10, -4, -3, 12, -9, -2, -6, 0, 4, -4, 9, 4, -12, -22, 4, -16, -8, 2, -36, 24, -1, 12, 2, 0, 9, 8, 7, -40, -6, 10, 2, 4, 7, -60, -6, 2, -10, 16, 14, 0, -6, -18, -2, 0, 4, 14, 30, -8, 26, 16, -2, 6, 20, -4, 3, 0, -16, 28, -10, 4, 6, -16, 4, -16, 1, 8, 27, 4, 3, 0, -10, 0, -36, 38, -2, -4, 8, 12, 12, 16, -1, -20, 36, 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36, 36, -15, 12, 38, -66, 14, 0, 10, -20, 0, -32, 80, -2, 40, -72, 8, -12, 6, -24, -52, 40, 12, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [2, -2], [1, -1], [0, -2], [1, -1], [0, -2], [-2, 0], [0, 0], [0, -1], [0, -2], [1, 0], [-2, 0], [0, -2], [-4, 4], [0, -1], [4, -4], [-2, 2], [-2, 0], [-2, 5], [-2, 0], [-2, 2], [2, -2], [0, 4], [0, 0], [0, -1], [-4, 0], [-1, 0], [0, 4], [0, 5], [-2, 0], [9, 0], [0, -8], [1, -1], [0, 4], [-2, 2], [-2, 2], [-6, 0], [6, 4], [-2, 0], [0, 0], [-6, 6], [0, 4], [10, -10], [0, -2], [-1, 0], [8, 0], [0, 0], [0, -4], [-3, 0], [-2, 0], [0, 2], [-4, 4], [0, 2], [-2, 2], [1, -1], [0, 0], [3, 2], [10, 0], [-7, 7], [-2, 2], [0, 7], [18, -18], [0, 2], [-8, 0], [-2, 0], [0, -2], [0, -8], [4, 0], [4, 0], [0, 4], [-3, 3], [0, 0], [2, -2], [-12, 12], [-1, 0], [10, -6], [-2, 0], [-4, 4], [11, -11], [0, -4], [-1, 1], [0, 12], [6, 0], [4, 0], [0, 2], [0, -20], [5, 0], [0, 0], [0, -15], [-2, 2], [0, 4], [8, -8], [9, -9], [0, 0], [3, 2], [-8, 0], [-8, 8], [-6, 6], [0, -1], [-2, 2]], 'ap': [[2, -2], [1, -1], [1, -1], [-2, 0], [1, 0], [0, -2], [-2, 2], [-2, 5], [0, 4], [0, 5], [9, 0], [-6, 0], [-6, 6], [10, -10], [0, 0], [0, 2], [-7, 7], [0, 7], [0, -8], [-3, 3], [2, -2], [11, -11], [6, 0], [0, -15], [-8, 8], [0, 7], [-8, 0], [0, 0], [-19, 19], [-10, 0], [0, -4], [-16, 16], [0, 6], [0, -20], [-9, 9], [-3, 0], [-12, 12], [-18, 0], [0, 2], [-6, 6], [-3, 0], [0, -10], [15, 0], [26, -26], [10, 0], [0, 3], [27, -27], [12, -12], [18, 0], [-11, 0], [24, -24], [27, 0], [0, -5], [0, 17], [0, -22], [-20, 20], [-1, 1], [-27, 27], [-8, 0], [0, 26], [-2, 2], [-4, 0], [24, -24], [24, 0], [0, 20], [0, -32], [8, 0], [8, -8], [22, -22], [6, 0], [-14, 0], [8, -8], [0, 20], [-32, 0], [31, 0], [-26, 26], [0, -33], [20, -20], [27, -27], [0, 29], [-5, 0], [7, -7], [0, -23], [0, -6], [25, -25], [0, 8], [-39, 0], [-8, 0], [3, -3], [-10, 0], [-38, 0], [0, -5], [14, 0], [33, -33], [-20, 20], [0, 44], [0, 30], [21, 0], [0, 22], [0, -15], [0, 8], [0, 32], [-42, 0], [-39, 0], [-15, 0], [12, 0], [-22, 22], [0, -6], [0, 36], [-15, 0], [-10, 0], [6, -6], [0, 24], [-32, 0], [0, 3], [33, -33], [-44, 44], [6, 0], [-6, 0], [0, -40], [0, -9], [36, 0], [46, 0], [-24, 0], [23, 0], [22, -22], [0, 27], [27, -27], [2, -2], [10, 0], [53, -53], [-22, 22], [0, 3], [14, -14], [-30, 0], [0, 43], [0, -20], [-8, 0], [10, 0], [-1, 0], [0, -49], [0, 45], [0, 20], [0, -12], [-38, 0], [0, 0], [2, -2], [-10, 10], [0, -45], [-38, 0], [-24, 24], [-1, 0], [0, 28], [0, 12], [-4, 4], [-9, 0], [32, 0], [11, -11], [0, 18], [0, -21], [-20, 20], [8, -8], [-4, 4], [24, -24], [18, 0], [14, -14], [40, -40], [0, -52]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 9007749044109597, 'hecke_ring_character_values': [[191, [1, 0]], [172, [1, 0]], [211, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '285.2.i.c', 'level': 285, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1140, 'analytic_conductor': 2.275736457606491, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [285, 3, [191, 172, 211], [3, 3, 2]], 'conrey_index': 106, 'cusp_dim': 72, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789368605, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 10], 'label': '285.2.i', 'level': 285, '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': True, 'level_primes': [3, 5, 19], 'level_radical': 285, 'mf_dim': 88, 'mf_new_dim': 24, 'num_forms': 6, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 80, 'trace_bound': 2, 'trace_display': [0, 4, 0, 8], 'traces': [24, 0, 4, -10, 0, -2, 8, 0, -12, 2, 8, -24, 0, 12, 4, -6, -12, 0, 4, 0, -8, 0, 12, 0, -12, 40, -8, 28, 0, 0, -16, 20, 8, -26, -4, -10, 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8, -8, 20, 176, -36, -144, 220, -136, 40, 110, 28, -52, 60, 512, 88, 34, -20, 112, -144, -24, 8, -32, 116, -116, -120, 40, -40, -192, 96, -34, 0, -360, -176, -40, 36, 40, 176, 64, -44, 42, -92, -208, -16, 96, -48, 96, 108, 12, -4, 216, -8, 192, 16, -4, 100, 32, 0, -136, 72, -92, 16, -220, -64, 64, -112, -4, -28, -164, 4, 160, 144, 92, 96, 20, 24, -24], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 220649
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '285.2.i.c', 'source_level': 285, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '285.2.i.c', 'target_level': 285, 'twist_class_label': '285.2.i.c', 'twist_class_level': 285, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 220650
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '285.2.i.c', 'source_level': 285, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '285.2.i.c', 'target_level': 285, 'twist_class_label': '285.2.i.c', 'twist_class_level': 285, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 220651
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '285.2.i.c', 'source_level': 285, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '855.2.k.a', 'target_level': 855, 'twist_class_label': '285.2.i.c', 'twist_class_level': 285, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 220652
{'conductor': 57, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '285.2.i.c', 'source_level': 285, 'target_char_orbit': 11, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '855.2.k.a', 'target_level': 855, 'twist_class_label': '285.2.i.c', 'twist_class_level': 285, 'twisting_char_label': '57.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 220653
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '285.2.i.c', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '5415.2.a.b', 'target_level': 5415, 'twist_class_label': '285.2.i.c', 'twist_class_level': 285, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 220654
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '285.2.i.c', 'source_level': 285, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5415.2.a.l', 'target_level': 5415, 'twist_class_label': '285.2.i.c', 'twist_class_level': 285, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 640525
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 2}
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id: 640526
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 3}
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id: 640527
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 5}
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id: 640528
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 9007749044109597, 'p': 7}
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id: 640529
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 9007749044109597, 'p': 11}
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id: 640530
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 13}
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id: 640531
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 17}
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id: 640532
{'charpoly_factorization': [[[19, -1, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 19}
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id: 640533
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 23}
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id: 640534
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 29}
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id: 640535
{'charpoly_factorization': [[[-9, 1], 2]], 'hecke_orbit_code': 9007749044109597, 'p': 31}
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id: 640536
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007749044109597, 'p': 37}
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id: 640537
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 41}
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id: 640538
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 43}
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id: 640539
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044109597, 'p': 47}
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id: 640540
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 53}
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id: 640541
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 59}
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id: 640542
{'charpoly_factorization': [[[49, -7, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 61}
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id: 640543
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 67}
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id: 640544
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 71}
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id: 640545
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 73}
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id: 640546
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 79}
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id: 640547
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 9007749044109597, 'p': 83}
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id: 640548
{'charpoly_factorization': [[[225, 15, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 89}
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id: 640549
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 9007749044109597, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '285.2.i.c', 'level': 285, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31142383
{'hecke_orbit_code': 9007749044109597, 'n': 1, 'trace_an': 2}
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id: 31142384
{'hecke_orbit_code': 9007749044109597, 'n': 2, 'trace_an': 2}
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id: 31142385
{'hecke_orbit_code': 9007749044109597, 'n': 3, 'trace_an': 1}
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id: 31142386
{'hecke_orbit_code': 9007749044109597, 'n': 4, 'trace_an': -2}
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id: 31142387
{'hecke_orbit_code': 9007749044109597, 'n': 5, 'trace_an': 1}
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id: 31142388
{'hecke_orbit_code': 9007749044109597, 'n': 6, 'trace_an': -2}
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id: 31142389
{'hecke_orbit_code': 9007749044109597, 'n': 7, 'trace_an': -4}
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id: 31142390
{'hecke_orbit_code': 9007749044109597, 'n': 8, 'trace_an': 0}
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id: 31142391
{'hecke_orbit_code': 9007749044109597, 'n': 9, 'trace_an': -1}
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id: 31142392
{'hecke_orbit_code': 9007749044109597, 'n': 10, 'trace_an': -2}
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id: 31142393
{'hecke_orbit_code': 9007749044109597, 'n': 11, 'trace_an': 2}
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id: 31142394
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