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{'Nk2': 7140, 'analytic_conductor': 14.253296760798548, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 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': [1785, 1, [596, 1072, 766, 1261], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -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': [[2, [-4, -1, 1]], [11, [-16, 2, 1]], [13, [-2, -3, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225145, 'hecke_ring_generator_nbound': 2, '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': '1785.2.a.s', 'level': 1785, '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, 7, 17], 'level_radical': 1785, 'minimal_twist': '1785.2.a.s', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta q^{2}+q^{3}+(2+\\beta )q^{4}-q^{5}+\\beta q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1785.2.a', 'trace_display': [1, 2, -2, -2], 'trace_hash': 189601729984755886, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.980', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.665', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.190', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.016', 'prec': 17}, 'traces': [2, 1, 2, 5, -2, 1, -2, 9, 2, -1, -2, 5, 3, -1, -2, 3, -2, 1, -6, -5, -2, 16, 5, 9, 2, 10, 2, -5, 6, -1, 9, 9, -2, -1, 2, 5, -3, -20, 3, -9, 3, -1, 0, 12, -2, 28, -3, 3, 2, 1, -2, 16, -14, 1, 2, -9, -6, -14, 4, -5, -9, -4, -2, 7, -3, 16, 4, -5, 5, 1, -6, 9, 14, -10, 2, -32, 2, 10, -2, -3, 2, 10, -11, -5, 2, 0, 6, 8, 4, -1, -3, 38, 9, -44, 6, 9, 12, 1, -2, 5, -6, -1, 12, 22, 2, 10, 17, 5, 8, -16, -3, -3, 0, -20, -5, -2, 3, 36, 2, -9, 14, -30, 3, 14, -2, -1, 40, -23, 0, -10, -21, 12, 6, -32, -2, -9, -34, 28, 8, 5, -3, -20, 14, 3, -6, -10, 2, -16, -25, 1, -5, -44, -2, -16, -9, 16, -16, 16, -14, -9, -5, 1, 35, 16, 2, -48, 18, -9, -13, 1, -6, 0, -28, -14, -2, 48, 4, 2, 21, -5, 35, -10, -9, 48, 3, -4, 2, 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96, -9], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [1, 0], [2, 1], [-1, 0], [0, 1], [-1, 0], [4, 1], [1, 0], [0, -1], [-2, 2], [2, 1], [1, 1], [0, -1], [-1, 0], [0, 3], [-1, 0], [0, 1], [-2, -2], [-2, -1], [-1, 0], [8, 0], [1, 3], [4, 1], [1, 0], [4, 2], [1, 0], [-2, -1], [4, -2], [0, -1], [5, -1], [4, 1], [-2, 2], [0, -1], [1, 0], [2, 1], [-1, -1], [-8, -4], [1, 1], [-4, -1], [1, 1], [0, -1], [0, 0], [4, 4], [-1, 0], [12, 4], [1, -5], [0, 3], [1, 0], [0, 1], [-1, 0], [6, 4], [-8, 2], [0, 1], [2, -2], [-4, -1], [-2, -2], [-8, 2], [0, 4], [-2, -1], [-3, -3], [-4, 4], [-1, 0], [4, -1], [-1, -1], [8, 0], [4, -4], [-2, -1], [1, 3], [0, 1], [-2, -2], [4, 1], [8, -2], [-4, -2], [1, 0], [-12, -8], [2, -2], [4, 2], [-2, 2], [0, -3], [1, 0], [4, 2], [-3, -5], [-2, -1], [1, 0], [0, 0], [4, -2], [0, 8], [2, 0], [0, -1], [-1, -1], [14, 10], [5, -1], [-20, -4], [2, 2], [4, 1], [6, 0], [0, 1], [-2, 2], [2, 1]], 'ap': [[0, 1], [1, 0], [-1, 0], [-1, 0], [-2, 2], [1, 1], [-1, 0], [-2, -2], [1, 3], [4, -2], [5, -1], [-1, -1], [1, 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mf_newspaces • Show schema
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{'ALdims': [5, 5, 2, 4, 5, 3, 4, 4, 5, 3, 2, 6, 3, 7, 6, 1], 'Nk2': 7140, 'analytic_conductor': 14.253296760798548, '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': [1785, 1, [596, 1072, 766, 1261], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 281, 'dim': 65, 'eis_dim': 15, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 33556217, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 5, 5, 6], 'label': '1785.2.a', 'level': 1785, '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, 7, 17], 'level_radical': 1785, 'mf_dim': 296, 'mf_new_dim': 65, 'num_forms': 30, 'plus_dim': 25, 'prim_orbit_index': 1, 'relative_dim': 65, 'sturm_bound': 576, 'trace_bound': 7, 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mf_twists_nf • Show schema
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id: 812176
{'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': '1785.2.a.s', 'source_level': 1785, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 19, 'target_is_minimal': True, 'target_label': '1785.2.a.s', 'target_level': 1785, 'twist_class_label': '1785.2.a.s', 'twist_class_level': 1785, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 812177
{'conductor': 3, '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': '1785.2.a.s', 'source_level': 1785, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 22, 'target_is_minimal': False, 'target_label': '5355.2.a.v', 'target_level': 5355, 'twist_class_label': '1785.2.a.s', 'twist_class_level': 1785, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 812178
{'conductor': 5, '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': '1785.2.a.s', 'source_level': 1785, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 31, 'target_is_minimal': False, 'target_label': '8925.2.a.be', 'target_level': 8925, 'twist_class_label': '1785.2.a.s', 'twist_class_level': 1785, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2205825
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 2}
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id: 2205826
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 81064793326225145, 'p': 3}
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id: 2205827
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326225145, 'p': 5}
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id: 2205828
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326225145, 'p': 7}
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id: 2205829
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 11}
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id: 2205830
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 13}
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id: 2205831
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 81064793326225145, 'p': 17}
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id: 2205832
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 19}
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id: 2205833
{'charpoly_factorization': [[[-32, -5, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 23}
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id: 2205834
{'charpoly_factorization': [[[-8, -6, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 29}
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id: 2205835
{'charpoly_factorization': [[[16, -9, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 31}
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id: 2205836
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 37}
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id: 2205837
{'charpoly_factorization': [[[-2, -3, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 41}
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id: 2205838
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 81064793326225145, 'p': 43}
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id: 2205839
{'charpoly_factorization': [[[-104, 3, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 47}
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id: 2205840
{'charpoly_factorization': [[[32, 14, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 53}
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id: 2205841
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 59}
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id: 2205842
{'charpoly_factorization': [[[-18, 9, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 61}
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id: 2205843
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 67}
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id: 2205844
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 71}
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id: 2205845
{'charpoly_factorization': [[[32, -14, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 73}
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id: 2205846
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 79}
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id: 2205847
{'charpoly_factorization': [[[-76, 11, 1], 1]], 'hecke_orbit_code': 81064793326225145, 'p': 83}
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id: 2205848
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 81064793326225145, 'p': 89}
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id: 2205849
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 81064793326225145, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1785.2.a.s', 'level': 1785, 'portrait': 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'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 62890315
{'hecke_orbit_code': 81064793326225145, 'n': 1, 'trace_an': 2}
-
id: 62890316
{'hecke_orbit_code': 81064793326225145, 'n': 2, 'trace_an': 1}
-
id: 62890317
{'hecke_orbit_code': 81064793326225145, 'n': 3, 'trace_an': 2}
-
id: 62890318
{'hecke_orbit_code': 81064793326225145, 'n': 4, 'trace_an': 5}
-
id: 62890319
{'hecke_orbit_code': 81064793326225145, 'n': 5, 'trace_an': -2}
-
id: 62890320
{'hecke_orbit_code': 81064793326225145, 'n': 6, 'trace_an': 1}
-
id: 62890321
{'hecke_orbit_code': 81064793326225145, 'n': 7, 'trace_an': -2}
-
id: 62890322
{'hecke_orbit_code': 81064793326225145, 'n': 8, 'trace_an': 9}
-
id: 62890323
{'hecke_orbit_code': 81064793326225145, 'n': 9, 'trace_an': 2}
-
id: 62890324
{'hecke_orbit_code': 81064793326225145, 'n': 10, 'trace_an': -1}
-
id: 62890325
{'hecke_orbit_code': 81064793326225145, 'n': 11, 'trace_an': -2}
-
id: 62890326
{'hecke_orbit_code': 81064793326225145, 'n': 12, 'trace_an': 5}
-
id: 62890327
{'hecke_orbit_code': 81064793326225145, 'n': 13, 'trace_an': 3}
-
id: 62890328
{'hecke_orbit_code': 81064793326225145, 'n': 14, 'trace_an': -1}
-
id: 62890329
{'hecke_orbit_code': 81064793326225145, 'n': 15, 'trace_an': -2}
-
id: 62890330
{'hecke_orbit_code': 81064793326225145, 'n': 16, 'trace_an': 3}
-
id: 62890331
{'hecke_orbit_code': 81064793326225145, 'n': 17, 'trace_an': -2}
-
id: 62890332
{'hecke_orbit_code': 81064793326225145, 'n': 18, 'trace_an': 1}
-
id: 62890333
{'hecke_orbit_code': 81064793326225145, 'n': 19, 'trace_an': -6}
-
id: 62890334
{'hecke_orbit_code': 81064793326225145, 'n': 20, 'trace_an': -5}
-
id: 62890335
{'hecke_orbit_code': 81064793326225145, 'n': 21, 'trace_an': -2}
-
id: 62890336
{'hecke_orbit_code': 81064793326225145, 'n': 22, 'trace_an': 16}
-
id: 62890337
{'hecke_orbit_code': 81064793326225145, 'n': 23, 'trace_an': 5}
-
id: 62890338
{'hecke_orbit_code': 81064793326225145, 'n': 24, 'trace_an': 9}
-
id: 62890339
{'hecke_orbit_code': 81064793326225145, 'n': 25, 'trace_an': 2}
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id: 62890340
{'hecke_orbit_code': 81064793326225145, 'n': 26, 'trace_an': 10}
-
id: 62890341
{'hecke_orbit_code': 81064793326225145, 'n': 27, 'trace_an': 2}
-
id: 62890342
{'hecke_orbit_code': 81064793326225145, 'n': 28, 'trace_an': -5}
-
id: 62890343
{'hecke_orbit_code': 81064793326225145, 'n': 29, 'trace_an': 6}
-
id: 62890344
{'hecke_orbit_code': 81064793326225145, 'n': 30, 'trace_an': -1}
-
id: 62890345
{'hecke_orbit_code': 81064793326225145, 'n': 31, 'trace_an': 9}
-
id: 62890346
{'hecke_orbit_code': 81064793326225145, 'n': 32, 'trace_an': 9}
-
id: 62890347
{'hecke_orbit_code': 81064793326225145, 'n': 33, 'trace_an': -2}
-
id: 62890348
{'hecke_orbit_code': 81064793326225145, 'n': 34, 'trace_an': -1}
-
id: 62890349
{'hecke_orbit_code': 81064793326225145, 'n': 35, 'trace_an': 2}
-
id: 62890350
{'hecke_orbit_code': 81064793326225145, 'n': 36, 'trace_an': 5}
-
id: 62890351
{'hecke_orbit_code': 81064793326225145, 'n': 37, 'trace_an': -3}
-
id: 62890352
{'hecke_orbit_code': 81064793326225145, 'n': 38, 'trace_an': -20}
-
id: 62890353
{'hecke_orbit_code': 81064793326225145, 'n': 39, 'trace_an': 3}
-
id: 62890354
{'hecke_orbit_code': 81064793326225145, 'n': 40, 'trace_an': -9}
-
id: 62890355
{'hecke_orbit_code': 81064793326225145, 'n': 41, 'trace_an': 3}
-
id: 62890356
{'hecke_orbit_code': 81064793326225145, 'n': 42, 'trace_an': -1}
-
id: 62890357
{'hecke_orbit_code': 81064793326225145, 'n': 43, 'trace_an': 0}
-
id: 62890358
{'hecke_orbit_code': 81064793326225145, 'n': 44, 'trace_an': 12}
-
id: 62890359
{'hecke_orbit_code': 81064793326225145, 'n': 45, 'trace_an': -2}
-
id: 62890360
{'hecke_orbit_code': 81064793326225145, 'n': 46, 'trace_an': 28}
-
id: 62890361
{'hecke_orbit_code': 81064793326225145, 'n': 47, 'trace_an': -3}
-
id: 62890362
{'hecke_orbit_code': 81064793326225145, 'n': 48, 'trace_an': 3}
-
id: 62890363
{'hecke_orbit_code': 81064793326225145, 'n': 49, 'trace_an': 2}
-
id: 62890364
{'hecke_orbit_code': 81064793326225145, 'n': 50, 'trace_an': 1}
-
id: 62890365
{'hecke_orbit_code': 81064793326225145, 'n': 51, 'trace_an': -2}
-
id: 62890366
{'hecke_orbit_code': 81064793326225145, 'n': 52, 'trace_an': 16}
-
id: 62890367
{'hecke_orbit_code': 81064793326225145, 'n': 53, 'trace_an': -14}
-
id: 62890368
{'hecke_orbit_code': 81064793326225145, 'n': 54, 'trace_an': 1}
-
id: 62890369
{'hecke_orbit_code': 81064793326225145, 'n': 55, 'trace_an': 2}
-
id: 62890370
{'hecke_orbit_code': 81064793326225145, 'n': 56, 'trace_an': -9}
-
id: 62890371
{'hecke_orbit_code': 81064793326225145, 'n': 57, 'trace_an': -6}
-
id: 62890372
{'hecke_orbit_code': 81064793326225145, 'n': 58, 'trace_an': -14}
-
id: 62890373
{'hecke_orbit_code': 81064793326225145, 'n': 59, 'trace_an': 4}
-
id: 62890374
{'hecke_orbit_code': 81064793326225145, 'n': 60, 'trace_an': -5}
-
id: 62890375
{'hecke_orbit_code': 81064793326225145, 'n': 61, 'trace_an': -9}
-
id: 62890376
{'hecke_orbit_code': 81064793326225145, 'n': 62, 'trace_an': -4}
-
id: 62890377
{'hecke_orbit_code': 81064793326225145, 'n': 63, 'trace_an': -2}
-
id: 62890378
{'hecke_orbit_code': 81064793326225145, 'n': 64, 'trace_an': 7}
-
id: 62890379
{'hecke_orbit_code': 81064793326225145, 'n': 65, 'trace_an': -3}
-
id: 62890380
{'hecke_orbit_code': 81064793326225145, 'n': 66, 'trace_an': 16}
-
id: 62890381
{'hecke_orbit_code': 81064793326225145, 'n': 67, 'trace_an': 4}
-
id: 62890382
{'hecke_orbit_code': 81064793326225145, 'n': 68, 'trace_an': -5}
-
id: 62890383
{'hecke_orbit_code': 81064793326225145, 'n': 69, 'trace_an': 5}
-
id: 62890384
{'hecke_orbit_code': 81064793326225145, 'n': 70, 'trace_an': 1}
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