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mf_newforms • Show schema
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{'Nk2': 15840, 'analytic_conductor': 31.62075920042703, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, -1], [11, -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': [3960, 1, [991, 1981, 3521, 2377, 2521], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 8, 'field_disc_factorization': [[2, 3]], 'field_poly': [-2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 8, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [2, 4, 1]], [13, [-2, 0, 1]], [17, [-18, 0, 1]], [19, [8, 8, 1]], [23, [-8, 0, 1]], [29, [-28, 4, 1]]], 'hecke_orbit': 28, 'hecke_orbit_code': 121597189972561784, 'hecke_ring_generator_nbound': 7, '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': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3960.2.a.bb', 'level': 3960, '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, 3, 5, 11], 'level_radical': 330, 'minimal_twist': '3960.2.a.u', 'nf_label': '2.2.8.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{5}+(-2+\\beta )q^{7}+q^{11}+\\beta q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3960.2.a', 'trace_display': [0, 0, 2, -4], 'trace_hash': 719988595656432434, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [3, 2, 3, 2, 4, 3, 3, 5, 2, 3, 2, 3, 3, 4, 5, 3], 'Nk2': 15840, 'analytic_conductor': 31.62075920042703, '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': [3960, 1, [991, 1981, 3521, 2377, 2521], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 833, 'dim': 50, 'eis_dim': 63, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 13, 17, 19, 23, 29], 'hecke_orbit_code': 33558392, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3], 'label': '3960.2.a', 'level': 3960, '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, 3, 5, 11], 'level_radical': 330, 'mf_dim': 896, 'mf_new_dim': 50, 'num_forms': 34, 'plus_dim': 22, 'prim_orbit_index': 1, 'relative_dim': 50, 'sturm_bound': 1728, 'trace_bound': 17, 'trace_display': [0, 0, 2, -8], 'traces': [50, 0, 0, 0, 2, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -8, 0, 0, 0, -4, 0, 50, 0, 0, 0, -12, 0, 12, 0, 0, 0, 0, 0, -4, 0, 0, 0, -4, 0, 32, 0, 0, 0, 20, 0, 38, 0, 0, 0, 4, 0, 0, 0, 0, 0, -8, 0, -20, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, -16, 0, 0, 0, 8, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 24, 0, 8, 0, 0, 0, -8, 0, 20, 0, 0, 0, -36, 0, 44, 0, 0, 0, -24, 0, 20, 0, 0, 0, 28, 0, 12, 0, 0, 0, 52, 0, 50, 0, 0, 0, 2, 0, 48, 0, 0, 0, 64, 0, -32, 0, 0, 0, 4, 0, -24, 0, 0, 0, -4, 0, -12, 0, 0, 0, 44, 0, -24, 0, 0, 0, -32, 0, 20, 0, 0, 0, -120, 0, -44, 0, 0, 0, 80, 0, -2, 0, 0, 0, 32, 0, -8, 0, 0, 0, 56, 0, 20, 0, 0, 0, 16, 0, 12, 0, 0, 0, -32, 0, -48, 0, 0, 0, 16, 0, 20, 0, 0, 0, -24, 0, 36, 0, 0, 0, 12, 0, -32, 0, 0, 0, 16, 0, -32, 0, 0, 0, -48, 0, 52, 0, 0, 0, 32, 0, 124, 0, 0, 0, -72, 0, 28, 0, 0, 0, -56, 0, 4, 0, 0, 0, 2, 0, 40, 0, 0, 0, 24, 0, -28, 0, 0, 0, 68, 0, 152, 0, 0, 0, 48, 0, 0, 0, 0, 0, 28, 0, -48, 0, 0, 0, 0, 0, 104, 0, 0, 0, 92, 0, -32, 0, 0, 0, 56, 0, 74, 0, 0, 0, -8, 0, -8, 0, 0, 0, 24, 0, -72, 0, 0, 0, 12, 0, 104, 0, 0, 0, 36, 0, -20, 0, 0, 0, -20, 0, -4, 0, 0, 0, -104, 0, -8, 0, 0, 0, 32, 0, -24, 0, 0, 0, 36, 0, -32, 0, 0, 0, 0, 0, -64, 0, 0, 0, -120, 0, 44, 0, 0, 0, 108, 0, 24, 0, 0, 0, 16, 0, 62, 0, 0, 0, -16, 0, -116, 0, 0, 0, 40, 0, 48, 0, 0, 0, 24, 0, 16, 0, 0, 0, 76, 0, -4, 0, 0, 0, 92, 0, 48, 0, 0, 0, 24, 0, -28, 0, 0, 0, 96, 0, -112, 0, 0, 0, 0, 0, -12, 0, 0, 0, 32, 0, 24, 0, 0, 0, 48, 0, -100, 0, 0, 0, 0, 0, -8, 0, 0, 0, 56, 0, -100, 0, 0, 0, 0, 0, 168, 0, 0, 0, -12, 0, -4, 0, 0, 0, -28, 0, 8, 0, 0, 0, 24, 0, -72, 0, 0, 0, -68, 0, -20, 0, 0, 0, -196, 0, 128, 0, 0, 0, 24, 0, -8, 0, 0, 0, -208, 0, -120, 0, 0, 0, 36, 0, 4, 0, 0, 0, 120, 0, -144, 0, 0, 0, -144, 0, 136, 0, 0, 0, -104, 0, -12, 0, 0, 0, 36, 0, -88, 0, 0, 0, 28, 0, -4, 0, 0, 0, 68, 0, -168, 0, 0, 0, 32, 0, -46, 0, 0, 0, -160, 0, 32, 0, 0, 0, -16, 0, 20, 0, 0, 0, -4, 0, -64, 0, 0, 0, 44, 0, 56, 0, 0, 0, -80, 0, 16, 0, 0, 0, 88, 0, 28, 0, 0, 0, -84, 0, -88, 0, 0, 0, -4, 0, -116, 0, 0, 0, 24, 0, 16, 0, 0, 0, -260, 0, -48, 0, 0, 0, -128, 0, 56, 0, 0, 0, 68, 0, 68, 0, 0, 0, 2, 0, -64, 0, 0, 0, -152, 0, 112, 0, 0, 0, -12, 0, 48, 0, 0, 0, -80, 0, 50, 0, 0, 0, -32, 0, -84, 0, 0, 0, 32, 0, 56, 0, 0, 0, -48, 0, 84, 0, 0, 0, 12, 0, -16, 0, 0, 0, 100, 0, -80, 0, 0, 0, 0, 0, -44, 0, 0, 0, -52, 0, 24, 0, 0, 0, 20, 0, -48, 0, 0, 0, 152, 0, 152, 0, 0, 0, -140, 0, -12, 0, 0, 0, -104, 0, 40, 0, 0, 0, 40, 0, -200, 0, 0, 0, 68, 0, -208, 0, 0, 0, 96, 0, -36, 0, 0, 0, -184, 0, 12, 0, 0, 0, -92, 0, 8, 0, 0, 0, -12, 0, 4, 0, 0, 0, -280, 0, -144, 0, 0, 0, 12, 0, 8, 0, 0, 0, -16, 0, 76, 0, 0, 0, -8, 0, -60, 0, 0, 0, 16, 0, -60, 0, 0, 0, -28, 0, 0, 0, 0, 0, -48, 0, 212, 0, 0, 0, -44, 0, 12, 0, 0, 0, 64, 0, -40, 0, 0, 0, 8, 0, 120, 0, 0, 0, -112, 0, -72, 0, 0, 0, 140, 0, 40, 0, 0, 0, -84, 0, 48, 0, 0, 0, 244, 0, 8, 0, 0, 0, -16, 0, 56, 0, 0, 0, -156, 0, -188, 0, 0, 0, 56, 0, 4, 0, 0, 0, 32, 0, -8, 0, 0, 0, -112, 0, -78, 0, 0, 0, -34, 0, -8, 0, 0, 0, -80, 0, 0, 0, 0, 0, 48, 0, 56, 0, 0, 0, 228, 0, -16, 0, 0, 0, 16, 0, -264, 0, 0, 0, 0, 0, -256, 0, 0, 0, -156, 0, -76, 0, 0, 0, 48, 0, -48, 0, 0, 0, -192, 0, -16, 0, 0, 0, 152, 0, -128, 0, 0, 0, -20, 0, -12, 0, 0, 0, -12, 0, 0, 0, 0, 0, 128, 0, 208, 0, 0, 0, 112, 0, -4, 0, 0, 0, -16, 0, -96, 0, 0, 0, 0, 0, -56, 0, 0, 0, 108, 0, -72, 0, 0, 0, -132, 0, 120, 0, 0, 0, 40, 0, -40, 0, 0, 0, 160, 0, -10, 0, 0, 0, -96, 0, -224, 0, 0, 0, 152, 0, 48, 0, 0, 0, 68, 0, 32, 0, 0, 0, -36, 0, 72, 0, 0, 0, -48, 0, -200, 0, 0, 0, 32, 0, 192, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1176005
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '3960.2.a.bb', 'source_level': 3960, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 21, 'target_is_minimal': True, 'target_label': '3960.2.a.u', 'target_level': 3960, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1176006
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '3960.2.a.bb', 'source_level': 3960, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 28, 'target_is_minimal': True, 'target_label': '3960.2.a.bb', 'target_level': 3960, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1176007
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '3960.2.a.bb', 'source_level': 3960, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 50, 'target_is_minimal': False, 'target_label': '7920.2.a.bx', 'target_level': 7920, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1176008
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 28, 'source_is_minimal': True, 'source_label': '3960.2.a.bb', 'source_level': 3960, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 58, 'target_is_minimal': False, 'target_label': '7920.2.a.cf', 'target_level': 7920, 'twist_class_label': '3960.2.a.u', 'twist_class_level': 3960, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3092675
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972561784, 'p': 2}
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id: 3092676
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 121597189972561784, 'p': 3}
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id: 3092677
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597189972561784, 'p': 5}
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id: 3092678
{'charpoly_factorization': [[[2, 4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 7}
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id: 3092679
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 121597189972561784, 'p': 11}
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id: 3092680
{'charpoly_factorization': [[[-2, 0, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 13}
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id: 3092681
{'charpoly_factorization': [[[-18, 0, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 17}
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id: 3092682
{'charpoly_factorization': [[[8, 8, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 19}
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id: 3092683
{'charpoly_factorization': [[[-8, 0, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 23}
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id: 3092684
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 29}
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id: 3092685
{'charpoly_factorization': [[[-4, 4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 31}
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id: 3092686
{'charpoly_factorization': [[[-28, -4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 37}
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id: 3092687
{'charpoly_factorization': [[[-28, 4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 41}
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id: 3092688
{'charpoly_factorization': [[[-46, 4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 43}
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id: 3092689
{'charpoly_factorization': [[[-56, 8, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 47}
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id: 3092690
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 53}
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id: 3092691
{'charpoly_factorization': [[[28, 12, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 59}
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id: 3092692
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 61}
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id: 3092693
{'charpoly_factorization': [[[-72, 0, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 67}
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id: 3092694
{'charpoly_factorization': [[[-68, 4, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 71}
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id: 3092695
{'charpoly_factorization': [[[-50, 0, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 73}
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id: 3092696
{'charpoly_factorization': [[[-8, 16, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 79}
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id: 3092697
{'charpoly_factorization': [[[18, 12, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 83}
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id: 3092698
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 121597189972561784, 'p': 89}
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id: 3092699
{'charpoly_factorization': [[[28, -12, 1], 1]], 'hecke_orbit_code': 121597189972561784, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 28, 'label': '3960.2.a.bb', 'level': 3960, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 67545925
{'hecke_orbit_code': 121597189972561784, 'n': 1, 'trace_an': 2}
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id: 67545926
{'hecke_orbit_code': 121597189972561784, 'n': 2, 'trace_an': 0}
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id: 67545927
{'hecke_orbit_code': 121597189972561784, 'n': 3, 'trace_an': 0}
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id: 67545928
{'hecke_orbit_code': 121597189972561784, 'n': 4, 'trace_an': 0}
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id: 67545929
{'hecke_orbit_code': 121597189972561784, 'n': 5, 'trace_an': 2}
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id: 67545930
{'hecke_orbit_code': 121597189972561784, 'n': 6, 'trace_an': 0}
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id: 67545931
{'hecke_orbit_code': 121597189972561784, 'n': 7, 'trace_an': -4}
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id: 67545932
{'hecke_orbit_code': 121597189972561784, 'n': 8, 'trace_an': 0}
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id: 67545933
{'hecke_orbit_code': 121597189972561784, 'n': 9, 'trace_an': 0}
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id: 67545934
{'hecke_orbit_code': 121597189972561784, 'n': 10, 'trace_an': 0}
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id: 67545935
{'hecke_orbit_code': 121597189972561784, 'n': 11, 'trace_an': 2}
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id: 67545936
{'hecke_orbit_code': 121597189972561784, 'n': 12, 'trace_an': 0}
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id: 67545937
{'hecke_orbit_code': 121597189972561784, 'n': 13, 'trace_an': 0}
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id: 67545938
{'hecke_orbit_code': 121597189972561784, 'n': 14, 'trace_an': 0}
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id: 67545939
{'hecke_orbit_code': 121597189972561784, 'n': 15, 'trace_an': 0}
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id: 67545940
{'hecke_orbit_code': 121597189972561784, 'n': 16, 'trace_an': 0}
-
id: 67545941
{'hecke_orbit_code': 121597189972561784, 'n': 17, 'trace_an': 0}
-
id: 67545942
{'hecke_orbit_code': 121597189972561784, 'n': 18, 'trace_an': 0}
-
id: 67545943
{'hecke_orbit_code': 121597189972561784, 'n': 19, 'trace_an': -8}
-
id: 67545944
{'hecke_orbit_code': 121597189972561784, 'n': 20, 'trace_an': 0}
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