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{'Nk2': 30576, 'analytic_conductor': 61.03764730506673, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [7, -1], [13, 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': [7644, 1, [3823, 2549, 3433, 5293], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, -2, 1]], [11, [-26, -2, 1]], [17, [-8, 4, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326231004, 'hecke_ring_generator_nbound': 5, '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': True, 'label': '7644.2.a.s', 'level': 7644, '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, 7, 13], 'level_radical': 546, 'minimal_twist': '7644.2.a.m', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+(1+\\beta )q^{5}+q^{9}+(1+3\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7644.2.a', 'trace_display': [0, 2, 2, 0], 'trace_hash': 1485643368570954799, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.055', 'prec': 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mf_hecke_nf • Show schema
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[-42, 20], [4, -8], [26, 0], [18, -34], [45, -17], [48, -8], [47, -13], [42, 6], [-44, -6], [-40, 2], [-41, 13], [14, -22], [-8, 2], [11, -17], [0, 18], [-47, 23], [8, 0], [60, 12], [-56, 6], [-61, 21], [4, -18], [-59, -15], [-56, -2], [0, 24], [52, 14], [14, -24], [-16, -8], [38, 38], [21, 17], [-21, -39], [-26, 32], [4, 46], [12, -24], [66, -16]], 'char_orbit_index': 1, 'field_poly': [-3, 0, 1], 'hecke_orbit_code': 81064793326231004, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '7644.2.a.s', 'level': 7644, 'maxp': 3137, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 9, 11, 12, 9, 9, 11, 12, 9], 'Nk2': 30576, 'analytic_conductor': 61.03764730506673, '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': [7644, 1, [3823, 2549, 3433, 5293], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1521, 'dim': 82, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33562076, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 5, 5, 6, 6, 6, 6], 'label': '7644.2.a', 'level': 7644, '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, 7, 13], 'level_radical': 546, 'mf_dim': 1616, 'mf_new_dim': 82, 'num_forms': 32, 'plus_dim': 41, 'prim_orbit_index': 1, 'relative_dim': 82, 'sturm_bound': 3136, 'trace_bound': 11, 'trace_display': [0, 0, 4, 0], 'traces': [82, 0, 0, 0, 4, 0, 0, 0, 82, 0, 4, 0, -2, 0, -4, 0, -4, 0, -8, 0, 0, 0, -8, 0, 78, 0, 0, 0, 4, 0, 0, 0, -12, 0, 0, 0, -20, 0, 0, 0, 12, 0, -16, 0, 4, 0, 20, 0, 0, 0, 0, 0, 12, 0, 0, 0, -12, 0, 4, 0, -4, 0, 0, 0, 4, 0, 8, 0, -8, 0, 12, 0, -12, 0, -16, 0, 0, 0, -8, 0, 82, 0, -12, 0, -32, 0, -8, 0, 4, 0, 0, 0, -4, 0, -24, 0, -28, 0, 4, 0, -12, 0, 8, 0, 0, 0, 24, 0, 4, 0, -8, 0, -4, 0, -8, 0, -2, 0, 0, 0, 106, 0, 20, 0, 0, 0, 16, 0, -8, 0, 24, 0, 0, 0, -4, 0, -28, 0, 16, 0, 4, 0, -4, 0, 0, 0, 0, 0, 28, 0, -48, 0, -4, 0, -24, 0, 52, 0, 8, 0, 0, 0, -40, 0, -16, 0, 52, 0, 82, 0, -8, 0, 20, 0, 0, 0, 12, 0, 8, 0, -52, 0, -32, 0, 24, 0, -8, 0, 0, 0, -24, 0, 44, 0, -4, 0, 12, 0, -32, 0, -4, 0, 0, 0, -32, 0, -8, 0, 88, 0, -8, 0, 12, 0, 40, 0, 0, 0, -40, 0, -12, 0, 32, 0, 78, 0, 52, 0, 52, 0, 0, 0, -100, 0, -128, 0, -24, 0, -76, 0, -12, 0, 0, 0, 0, 0, 8, 0, 4, 0, 8, 0, -72, 0, -8, 0, -68, 0, 0, 0, 4, 0, -120, 0, -80, 0, -4, 0, 4, 0, -16, 0, 0, 0, -92, 0, -28, 0, 0, 0, 4, 0, 0, 0, 48, 0, 0, 0, -106, 0, -8, 0, -28, 0, 120, 0, -12, 0, 16, 0, 0, 0, 160, 0, -208, 0, -32, 0, -8, 0, -8, 0, 12, 0, 0, 0, 28, 0, 176, 0, 24, 0, -232, 0, -22, 0, 0, 0, 0, 0, 80, 0, -20, 0, 64, 0, 20, 0, 8, 0, -120, 0, 0, 0, 0, 0, 88, 0, 140, 0, 0, 0, -20, 0, 0, 0, 0, 0, 156, 0, 82, 0, 0, 0, -216, 0, 16, 0, 12, 0, 0, 0, -84, 0, 168, 0, -20, 0, 0, 0, 32, 0, 68, 0, 0, 0, -16, 0, -164, 0, 136, 0, 32, 0, -72, 0, -52, 0, 0, 0, -156, 0, 0, 0, 4, 0, 56, 0, 4, 0, 60, 0, 0, 0, 72, 0, 16, 0, -48, 0, -12, 0, 20, 0, -180, 0, 0, 0, 12, 0, 20, 0, 60, 0, 24, 0, -8, 0, -24, 0, 0, 0, -224, 0, -32, 0, -20, 0, 4, 0, -16, 0, -4, 0, 0, 0, 4, 0, 0, 0, -36, 0, 192, 0, 48, 0, -32, 0, 0, 0, 0, 0, -168, 0, -96, 0, 12, 0, 60, 0, -12, 0, 0, 0, -48, 0, 40, 0, -28, 0, -72, 0, -96, 0, 0, 0, 0, 0, 40, 0, 36, 0, -8, 0, -120, 0, 0, 0, 52, 0, 0, 0, -12, 0, -24, 0, -32, 0, 168, 0, 36, 0, -16, 0, 0, 0, 8, 0, 50, 0, 4, 0, 4, 0, 128, 0, -8, 0, 0, 0, 100, 0, 0, 0, -144, 0, -8, 0, -4, 0, -8, 0, 0, 0, -96, 0, 20, 0, -32, 0, -8, 0, -160, 0, 64, 0, 0, 0, -20, 0, -104, 0, 72, 0, -144, 0, 60, 0, -64, 0, 0, 0, -48, 0, 4, 0, -12, 0, -104, 0, 20, 0, -12, 0, 0, 0, 32, 0, 64, 0, -44, 0, 8, 0, -140, 0, 40, 0, 0, 0, 36, 0, -140, 0, -32, 0, 124, 0, -56, 0, -8, 0, 0, 0, -30, 0, -24, 0, -136, 0, 48, 0, -56, 0, -48, 0, 0, 0, 12, 0, 44, 0, -152, 0, 56, 0, -40, 0, 112, 0, 0, 0, 12, 0, 136, 0, -12, 0, -128, 0, 108, 0, -8, 0, 0, 0, -40, 0, 44, 0, -168, 0, 68, 0, -16, 0, -84, 0, 0, 0, 44, 0, -212, 0, 176, 0, -32, 0, -12, 0, -64, 0, 0, 0, -88, 0, -96, 0, 0, 0, 164, 0, 32, 0, 64, 0, 0, 0, 36, 0, -8, 0, 200, 0, -32, 0, 28, 0, 56, 0, 0, 0, -24, 0, -60, 0, -176, 0, 82, 0, 8, 0, 28, 0, 0, 0, 48, 0, -72, 0, -20, 0, 52, 0, 64, 0, -12, 0, 0, 0, -16, 0, -24, 0, 248, 0, 92, 0, 16, 0, 36, 0, 0, 0, -32, 0, -44, 0, -12, 0, -24, 0, -84, 0, 168, 0, 0, 0, 160, 0, 296, 0, -8, 0, -168, 0, 32, 0, 32, 0, 0, 0, 28, 0, 120, 0, 68, 0, -80, 0, 4, 0, -72, 0, 0, 0, -32, 0, 92, 0, -80, 0, -28, 0, 80, 0, -72, 0, 0, 0, -196, 0, 64, 0, 12, 0, -180, 0, 84, 0, 64, 0, 0, 0, -88, 0, -4, 0, 52, 0, -122, 0, 60, 0, 4, 0, 0, 0, 0, 0, -272, 0, -132, 0, -24, 0, -52, 0, -8, 0, 0, 0, -116, 0, 120, 0, 64, 0, 32, 0, 0, 0, -28, 0, 0, 0, -52, 0, -108, 0, 52, 0, -40, 0, 64, 0, -80, 0, 0, 0, 4, 0, 80, 0, 216, 0, 0, 0, 24, 0, 16, 0, 0, 0, 224, 0, 96, 0, -12, 0, -88, 0, -48, 0, -8, 0, 0, 0, 16, 0, 60, 0, -52, 0, -52, 0, 8, 0, 196, 0, 0, 0, -64, 0, 152, 0, 228, 0, 32, 0, 20, 0, -160, 0, 0, 0, 228, 0, 12, 0, -60, 0, -100, 0, 0, 0, 168, 0, 0, 0, 410, 0, 24, 0, -96, 0, 432, 0, -24, 0, -192, 0, 0, 0, 16, 0, -332, 0, -96, 0, 4, 0, -68, 0, -96, 0, 0, 0, -304, 0, 56, 0, -20, 0, 328, 0, -28, 0, -8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1358585
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '7644.2.a.s', 'source_level': 7644, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': True, 'target_label': '7644.2.a.m', 'target_level': 7644, 'twist_class_label': '7644.2.a.m', 'twist_class_level': 7644, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1358586
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 19, 'source_is_minimal': True, 'source_label': '7644.2.a.s', 'source_level': 7644, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '7644.2.a.s', 'target_level': 7644, 'twist_class_label': '7644.2.a.m', 'twist_class_level': 7644, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4531050
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 2}
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id: 4531051
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 3}
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id: 4531052
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 5}
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id: 4531053
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 7}
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id: 4531054
{'charpoly_factorization': [[[-26, -2, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 11}
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id: 4531055
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 13}
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id: 4531056
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 17}
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id: 4531057
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 19}
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id: 4531058
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 23}
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id: 4531059
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 29}
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id: 4531060
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 31}
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id: 4531061
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 37}
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id: 4531062
{'charpoly_factorization': [[[6, -6, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 41}
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id: 4531063
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 43}
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id: 4531064
{'charpoly_factorization': [[[6, 6, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 47}
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id: 4531065
{'charpoly_factorization': [[[-10, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 53}
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id: 4531066
{'charpoly_factorization': [[[166, -26, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 59}
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id: 4531067
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 81064793326231004, 'p': 61}
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id: 4531068
{'charpoly_factorization': [[[88, -20, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 67}
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id: 4531069
{'charpoly_factorization': [[[-26, -14, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 71}
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id: 4531070
{'charpoly_factorization': [[[-92, -8, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 73}
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id: 4531071
{'charpoly_factorization': [[[4, -8, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 79}
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id: 4531072
{'charpoly_factorization': [[[-146, 2, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 83}
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id: 4531073
{'charpoly_factorization': [[[-18, -6, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 89}
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id: 4531074
{'charpoly_factorization': [[[-188, -4, 1], 1]], 'hecke_orbit_code': 81064793326231004, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '7644.2.a.s', 'level': 7644, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 63248935
{'hecke_orbit_code': 81064793326231004, 'n': 1, 'trace_an': 2}
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id: 63248936
{'hecke_orbit_code': 81064793326231004, 'n': 2, 'trace_an': 0}
-
id: 63248937
{'hecke_orbit_code': 81064793326231004, 'n': 3, 'trace_an': 2}
-
id: 63248938
{'hecke_orbit_code': 81064793326231004, 'n': 4, 'trace_an': 0}
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id: 63248939
{'hecke_orbit_code': 81064793326231004, 'n': 5, 'trace_an': 2}
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id: 63248940
{'hecke_orbit_code': 81064793326231004, 'n': 6, 'trace_an': 0}
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id: 63248941
{'hecke_orbit_code': 81064793326231004, 'n': 7, 'trace_an': 0}
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id: 63248942
{'hecke_orbit_code': 81064793326231004, 'n': 8, 'trace_an': 0}
-
id: 63248943
{'hecke_orbit_code': 81064793326231004, 'n': 9, 'trace_an': 2}
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id: 63248944
{'hecke_orbit_code': 81064793326231004, 'n': 10, 'trace_an': 0}
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id: 63248945
{'hecke_orbit_code': 81064793326231004, 'n': 11, 'trace_an': 2}
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id: 63248946
{'hecke_orbit_code': 81064793326231004, 'n': 12, 'trace_an': 0}
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id: 63248947
{'hecke_orbit_code': 81064793326231004, 'n': 13, 'trace_an': -2}
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id: 63248948
{'hecke_orbit_code': 81064793326231004, 'n': 14, 'trace_an': 0}
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id: 63248949
{'hecke_orbit_code': 81064793326231004, 'n': 15, 'trace_an': 2}
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id: 63248950
{'hecke_orbit_code': 81064793326231004, 'n': 16, 'trace_an': 0}
-
id: 63248951
{'hecke_orbit_code': 81064793326231004, 'n': 17, 'trace_an': -4}
-
id: 63248952
{'hecke_orbit_code': 81064793326231004, 'n': 18, 'trace_an': 0}
-
id: 63248953
{'hecke_orbit_code': 81064793326231004, 'n': 19, 'trace_an': -4}
-
id: 63248954
{'hecke_orbit_code': 81064793326231004, 'n': 20, 'trace_an': 0}
-
id: 63248955
{'hecke_orbit_code': 81064793326231004, 'n': 21, 'trace_an': 0}
-
id: 63248956
{'hecke_orbit_code': 81064793326231004, 'n': 22, 'trace_an': 0}
-
id: 63248957
{'hecke_orbit_code': 81064793326231004, 'n': 23, 'trace_an': 8}
-
id: 63248958
{'hecke_orbit_code': 81064793326231004, 'n': 24, 'trace_an': 0}
-
id: 63248959
{'hecke_orbit_code': 81064793326231004, 'n': 25, 'trace_an': -2}
-
id: 63248960
{'hecke_orbit_code': 81064793326231004, 'n': 26, 'trace_an': 0}
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id: 63248961
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