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mf_newforms • Show schema
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{'Nk2': 3808, 'analytic_conductor': 7.601758272425893, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [7, 1], [17, -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': [952, 1, [239, 477, 409, 785], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 5225, 'field_disc_factorization': [[5, 2], [11, 1], [19, 1]], 'field_poly': [11, 1, -8, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [4, 14, -5, -3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021597797778360, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'ALdims': [3, 4, 3, 2, 3, 2, 3, 4], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [8, 20, 19, 10, 11, 18, 19, 8], 'Nk2': 3808, 'analytic_conductor': 7.601758272425893, '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': [952, 1, [239, 477, 409, 785], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 137, 'dim': 24, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 33555384, 'hecke_orbit_dims': [2, 2, 3, 3, 3, 3, 4, 4], 'label': '952.2.a', 'level': 952, '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, 7, 17], 'level_radical': 238, 'mf_dim': 152, 'mf_new_dim': 24, 'num_forms': 8, 'plus_dim': 10, 'prim_orbit_index': 1, 'relative_dim': 24, 'sturm_bound': 288, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [24, 0, 0, 0, 0, 0, 0, 0, 24, 0, 12, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -16, 0, 24, 0, 24, 0, -12, 0, -8, 0, -24, 0, 0, 0, -4, 0, -8, 0, -8, 0, 0, 0, 0, 0, 0, 0, 24, 0, 12, 0, 16, 0, 8, 0, 16, 0, -8, 0, -16, 0, -8, 0, -16, 0, 16, 0, -8, 0, -24, 0, -24, 0, -16, 0, 0, 0, -16, 0, 16, 0, -48, 0, -4, 0, 8, 0, 16, 0, 12, 0, -16, 0, 0, 0, 24, 0, -4, 0, -48, 0, 40, 0, 16, 0, 52, 0, -28, 0, 88, 0, -16, 0, 64, 0, 40, 0, 0, 0, -16, 0, 0, 0, 72, 0, -40, 0, -88, 0, -16, 0, -4, 0, 40, 0, 32, 0, -56, 0, 40, 0, 48, 0, -56, 0, 0, 0, -24, 0, -24, 0, 0, 0, -8, 0, -24, 0, -48, 0, 0, 0, 52, 0, 48, 0, -40, 0, -8, 0, 48, 0, -24, 0, -24, 0, -24, 0, -24, 0, -56, 0, -72, 0, 64, 0, 0, 0, 0, 0, -40, 0, 24, 0, -72, 0, 52, 0, 24, 0, -64, 0, 0, 0, -24, 0, -24, 0, 0, 0, 4, 0, -40, 0, 16, 0, 0, 0, -80, 0, -16, 0, -88, 0, 40, 0, 16, 0, 40, 0, -24, 0, 16, 0, -32, 0, 40, 0, -40, 0, -24, 0, -8, 0, 0, 0, 0, 0, -64, 0, 48, 0, -16, 0, 0, 0, -8, 0, -16, 0, -12, 0, -48, 0, -104, 0, -32, 0, 96, 0, 56, 0, 24, 0, 60, 0, -60, 0, 48, 0, 16, 0, -24, 0, 56, 0, 16, 0, 24, 0, 8, 0, -48, 0, 24, 0, -16, 0, -48, 0, -24, 0, 72, 0, 152, 0, -16, 0, 56, 0, 152, 0, -40, 0, -40, 0, -12, 0, -48, 0, 48, 0, 24, 0, -96, 0, -80, 0, -32, 0, -32, 0, -132, 0, -56, 0, -72, 0, 40, 0, 88, 0, 0, 0, 80, 0, 4, 0, -48, 0, -56, 0, 0, 0, 32, 0, -4, 0, 8, 0, -72, 0, 56, 0, -72, 0, -24, 0, -72, 0, 48, 0, -32, 0, 104, 0, 96, 0, -28, 0, 8, 0, 128, 0, -8, 0, -16, 0, -24, 0, -8, 0, -72, 0, -104, 0, 48, 0, -40, 0, -32, 0, -144, 0, 16, 0, 80, 0, -16, 0, 80, 0, 4, 0, -24, 0, -24, 0, 128, 0, 64, 0, -40, 0, 0, 0, 0, 0, 64, 0, 24, 0, 16, 0, -96, 0, 16, 0, 24, 0, 24, 0, -24, 0, 104, 0, -40, 0, -96, 0, 8, 0, 48, 0, -8, 0, 40, 0, 24, 0, 120, 0, 24, 0, 88, 0, 40, 0, 32, 0, 112, 0, 16, 0, -72, 0, 152, 0, -24, 0, 80, 0, 24, 0, 80, 0, -24, 0, -64, 0, 88, 0, 24, 0, -128, 0, 8, 0, 164, 0, 40, 0, 40, 0, 8, 0, -112, 0, -16, 0, -16, 0, -80, 0, 96, 0, 40, 0, 72, 0, 136, 0, 64, 0, -48, 0, -8, 0, 72, 0, 200, 0, 24, 0, 104, 0, 72, 0, 12, 0, -60, 0, -32, 0, -16, 0, 28, 0, -56, 0, -32, 0, 64, 0, -200, 0, 24, 0, 64, 0, -16, 0, 24, 0, 104, 0, 72, 0, -24, 0, 52, 0, 80, 0, 104, 0, 40, 0, 64, 0, -20, 0, 0, 0, 88, 0, 72, 0, 24, 0, 16, 0, -120, 0, 12, 0, -216, 0, 88, 0, -32, 0, 24, 0, -88, 0, 56, 0, -56, 0, 0, 0, -24, 0, -152, 0, -16, 0, -56, 0, 88, 0, -24, 0, 64, 0, 32, 0, 24, 0, -24, 0, -16, 0, 64, 0, 0, 0, -304, 0, -24, 0, -200, 0, -40, 0, 64, 0, -160, 0, -16, 0, -44, 0, 80, 0, -136, 0, 88, 0, 32, 0, 0, 0, -8, 0, -96, 0, -32, 0, 40, 0, 64, 0, -192, 0, -104, 0, 40, 0, 120, 0, -108, 0, 56, 0, 48, 0, 40, 0, -120, 0, 0, 0, 104, 0, 16, 0, -56, 0, 72, 0, -208, 0, -208, 0, -20, 0, -44, 0, -40, 0, 176, 0, -16, 0, -104, 0, 56, 0, -16, 0, -200, 0, -204, 0, -120, 0, -96, 0, -16, 0, -40, 0, 16, 0, 56, 0, -104, 0, -112, 0, 56, 0, 48, 0, -40, 0, 0, 0, 112, 0, 128, 0, -200, 0, 72, 0, -112, 0, -32, 0, -24, 0, -20, 0, -112, 0, -176, 0, 176, 0, -168, 0, -24, 0, 0, 0, 24, 0, 32, 0, 304, 0, -152, 0, 8, 0, 120, 0, -32, 0, 136, 0, 72, 0, 16, 0, 0, 0, 8, 0, -40, 0, -24, 0, 64, 0, -8, 0, -40, 0, -176, 0, -40, 0, 88, 0, -4, 0, -132, 0, -24, 0, -176, 0, 76, 0, -16, 0, -40, 0, 0, 0, 160, 0, -312, 0, -80, 0, 80, 0, 152, 0, -80, 0, 96, 0, -40, 0, 48, 0, 136, 0, -184, 0, 88, 0, -104, 0, 24, 0, 120, 0, -24, 0, 0, 0, 16, 0, 8, 0, 0, 0, 0, 0, 4, 0, 104, 0, 216, 0, 32, 0, -32, 0, -72, 0, 16, 0, -20, 0, 176, 0, 144, 0, 48, 0, -152, 0, 0, 0, 56, 0, 168, 0, 164, 0, -192, 0, -152, 0, 64, 0, -80, 0, -40, 0, 72, 0, 112, 0, 240, 0, -76, 0, 48, 0, 40, 0, 0, 0, 64, 0, -32, 0, 48, 0, -120, 0, 80, 0, -8, 0, 64, 0, 28, 0, -8, 0, -136, 0, 104, 0, 104, 0, 264, 0, 0, 0, 112, 0, 204, 0, -40, 0, 184, 0, 72, 0, 120, 0, -8, 0, -104, 0, -72, 0, 40, 0, -164, 0, -136, 0, -136, 0, -32, 0, -136, 0, -56, 0, 48, 0, -272, 0, 8, 0, 8, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 45523104
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797778360, 'source_is_minimal': True, 'source_label': '952.2.a.g.1.3', 'source_level': 952, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27021597797778360, 'target_is_minimal': True, 'target_label': '952.2.a.g.1.3', 'target_level': 952, 'twist_class_label': '952.2.a.g.1.3', 'twist_class_level': 952, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45523105
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797778360, 'source_is_minimal': True, 'source_label': '952.2.a.g.1.3', 'source_level': 952, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 157625986991530360, 'target_is_minimal': False, 'target_label': '8568.2.a.bj.1.1', 'target_level': 8568, 'twist_class_label': '952.2.a.g.1.3', 'twist_class_level': 952, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45523106
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797778360, 'source_is_minimal': True, 'source_label': '952.2.a.g.1.3', 'source_level': 952, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071484272, 'target_is_minimal': False, 'target_label': '1904.2.a.q.1.2', 'target_level': 1904, 'twist_class_label': '952.2.a.g.1.3', 'twist_class_level': 952, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45523107
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797778360, 'source_is_minimal': True, 'source_label': '952.2.a.g.1.3', 'source_level': 952, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816748040, 'target_is_minimal': False, 'target_label': '6664.2.a.o.1.2', 'target_level': 6664, 'twist_class_label': '952.2.a.g.1.3', 'twist_class_level': 952, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 45523108
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797778360, 'source_is_minimal': True, 'source_label': '952.2.a.g.1.3', 'source_level': 952, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 184647584755752384, 'target_is_minimal': False, 'target_label': '7616.2.a.bp.1.3', 'target_level': 7616, 'twist_class_label': '952.2.a.g.1.3', 'twist_class_level': 952, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 45523109
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 4, 'source_embedding_index': 3, 'source_hecke_orbit_code': 27021597797778360, 'source_is_minimal': True, 'source_label': '952.2.a.g.1.3', 'source_level': 952, 'target_conrey_index': 1, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 157625986991529408, 'target_is_minimal': False, 'target_label': '7616.2.a.bj.1.2', 'target_level': 7616, 'twist_class_label': '952.2.a.g.1.3', 'twist_class_level': 952, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1528050
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021597797778360, 'p': 2}
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id: 1528051
{'charpoly_factorization': [[[4, 14, -5, -3, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 3}
-
id: 1528052
{'charpoly_factorization': [[[4, -22, -15, 1, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 5}
-
id: 1528053
{'charpoly_factorization': [[[1, 1], 4]], 'hecke_orbit_code': 27021597797778360, 'p': 7}
-
id: 1528054
{'charpoly_factorization': [[[-4, -2, 1], 2]], 'hecke_orbit_code': 27021597797778360, 'p': 11}
-
id: 1528055
{'charpoly_factorization': [[[-16, 4, 1], 2]], 'hecke_orbit_code': 27021597797778360, 'p': 13}
-
id: 1528056
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 27021597797778360, 'p': 17}
-
id: 1528057
{'charpoly_factorization': [[[-176, 88, 40, -14, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 19}
-
id: 1528058
{'charpoly_factorization': [[[-256, 224, -20, -8, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 23}
-
id: 1528059
{'charpoly_factorization': [[[16, -16, -68, -4, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 29}
-
id: 1528060
{'charpoly_factorization': [[[-400, 500, -85, -5, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 31}
-
id: 1528061
{'charpoly_factorization': [[[-304, -304, -68, 4, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 37}
-
id: 1528062
{'charpoly_factorization': [[[964, -236, -65, 7, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 41}
-
id: 1528063
{'charpoly_factorization': [[[-176, 268, 65, -19, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 43}
-
id: 1528064
{'charpoly_factorization': [[[2816, 512, -112, -8, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 47}
-
id: 1528065
{'charpoly_factorization': [[[484, 220, -101, -5, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 53}
-
id: 1528066
{'charpoly_factorization': [[[64, 80, -44, 0, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 59}
-
id: 1528067
{'charpoly_factorization': [[[-1964, -362, 113, 23, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 61}
-
id: 1528068
{'charpoly_factorization': [[[-176, 460, -29, -15, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 67}
-
id: 1528069
{'charpoly_factorization': [[[-704, -592, -132, -2, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 71}
-
id: 1528070
{'charpoly_factorization': [[[244, -940, -201, 5, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 73}
-
id: 1528071
{'charpoly_factorization': [[[-256, -768, 80, 24, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 79}
-
id: 1528072
{'charpoly_factorization': [[[4400, 600, -120, -10, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 83}
-
id: 1528073
{'charpoly_factorization': [[[7744, -2992, -220, 16, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 89}
-
id: 1528074
{'charpoly_factorization': [[[-5900, -1700, -65, 15, 1], 1]], 'hecke_orbit_code': 27021597797778360, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 7, 'label': '952.2.a.g', 'level': 952, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 45103537
{'hecke_orbit_code': 27021597797778360, 'n': 1, 'trace_an': 4}
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id: 45103538
{'hecke_orbit_code': 27021597797778360, 'n': 2, 'trace_an': 0}
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id: 45103539
{'hecke_orbit_code': 27021597797778360, 'n': 3, 'trace_an': 3}
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id: 45103540
{'hecke_orbit_code': 27021597797778360, 'n': 4, 'trace_an': 0}
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id: 45103541
{'hecke_orbit_code': 27021597797778360, 'n': 5, 'trace_an': -1}
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id: 45103542
{'hecke_orbit_code': 27021597797778360, 'n': 6, 'trace_an': 0}
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id: 45103543
{'hecke_orbit_code': 27021597797778360, 'n': 7, 'trace_an': -4}
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id: 45103544
{'hecke_orbit_code': 27021597797778360, 'n': 8, 'trace_an': 0}
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id: 45103545
{'hecke_orbit_code': 27021597797778360, 'n': 9, 'trace_an': 7}
-
id: 45103546
{'hecke_orbit_code': 27021597797778360, 'n': 10, 'trace_an': 0}
-
id: 45103547
{'hecke_orbit_code': 27021597797778360, 'n': 11, 'trace_an': 4}
-
id: 45103548
{'hecke_orbit_code': 27021597797778360, 'n': 12, 'trace_an': 0}
-
id: 45103549
{'hecke_orbit_code': 27021597797778360, 'n': 13, 'trace_an': -8}
-
id: 45103550
{'hecke_orbit_code': 27021597797778360, 'n': 14, 'trace_an': 0}
-
id: 45103551
{'hecke_orbit_code': 27021597797778360, 'n': 15, 'trace_an': 12}
-
id: 45103552
{'hecke_orbit_code': 27021597797778360, 'n': 16, 'trace_an': 0}
-
id: 45103553
{'hecke_orbit_code': 27021597797778360, 'n': 17, 'trace_an': 4}
-
id: 45103554
{'hecke_orbit_code': 27021597797778360, 'n': 18, 'trace_an': 0}
-
id: 45103555
{'hecke_orbit_code': 27021597797778360, 'n': 19, 'trace_an': 14}
-
id: 45103556
{'hecke_orbit_code': 27021597797778360, 'n': 20, 'trace_an': 0}
-
id: 45103557
{'hecke_orbit_code': 27021597797778360, 'n': 21, 'trace_an': -3}
-
id: 45103558
{'hecke_orbit_code': 27021597797778360, 'n': 22, 'trace_an': 0}
-
id: 45103559
{'hecke_orbit_code': 27021597797778360, 'n': 23, 'trace_an': 8}
-
id: 45103560
{'hecke_orbit_code': 27021597797778360, 'n': 24, 'trace_an': 0}
-
id: 45103561
{'hecke_orbit_code': 27021597797778360, 'n': 25, 'trace_an': 11}
-
id: 45103562
{'hecke_orbit_code': 27021597797778360, 'n': 26, 'trace_an': 0}
-
id: 45103563
{'hecke_orbit_code': 27021597797778360, 'n': 27, 'trace_an': 12}
-
id: 45103564
{'hecke_orbit_code': 27021597797778360, 'n': 28, 'trace_an': 0}
-
id: 45103565
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