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{'Nk2': 7220, 'analytic_conductor': 14.41299756484111, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [19, -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': [1805, 1, [362, 1446], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 303623403561, 'field_disc_factorization': [[3, 12], [571321, 1]], 'field_poly': [-1, 0, 15, -8, -27, 12, 16, -6, -3, 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, [-1, -3, 15, 30, -21, -60, -26, 6, 6, 1]], [3, [-1, -9, 48, 44, -81, -87, -1, 24, 9, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81064793326225165, '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': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1805.2.a.s', 'level': 1805, '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': [5, 19], 'level_radical': 95, 'minimal_twist': '95.2.k.a', 'prim_orbit_index': 1, 'qexp_display': 'q+(-1+\\beta _{1})q^{2}+(-1+\\beta _{7})q^{3}+(\\beta _{4}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1805.2.a', 'trace_display': [-6, -9, 9, 0], 'trace_hash': 2142835640667435657, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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-
mf_newspaces • Show schema
Hide schema
{'ALdims': [23, 33, 33, 24], 'ALdims_eis_new': [0, 0, 0, 0], 'ALdims_eis_old': [9, 10, 10, 10], 'ALdims_old': [13, 17, 12, 16], 'Nk2': 7220, 'analytic_conductor': 14.41299756484111, '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': [1805, 1, [362, 1446], [1, 1]], 'conrey_index': 1, 'cusp_dim': 171, 'dim': 113, 'eis_dim': 39, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 33556237, 'hecke_orbit_dims': [1, 1, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 9, 9, 9, 9, 16], 'label': '1805.2.a', 'level': 1805, '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': [5, 19], 'level_radical': 95, 'mf_dim': 210, 'mf_new_dim': 113, 'num_forms': 23, 'plus_dim': 47, 'prim_orbit_index': 1, 'relative_dim': 113, 'sturm_bound': 380, 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mf_twists_cc • Show schema
Hide schema
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id: 48172278
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 7, 'target_hecke_orbit_code': 81064793326225165, 'target_is_minimal': False, 'target_label': '1805.2.a.s.1.7', 'target_level': 1805, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48172279
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 3, 'target_hecke_orbit_code': 256705178793681729, 'target_is_minimal': False, 'target_label': '9025.2.a.cf.1.3', 'target_level': 9025, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48172280
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 61, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 687228321887, 'target_is_minimal': True, 'target_label': '95.2.k.a.61.3', 'target_level': 95, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '19.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48172281
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 81, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 687228321887, 'target_is_minimal': True, 'target_label': '95.2.k.a.81.3', 'target_level': 95, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '19.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 48172282
{'conductor': 19, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 3, 'target_hecke_orbit_code': 94575592208336653, 'target_is_minimal': False, 'target_label': '1805.2.a.v.1.3', 'target_level': 1805, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '19.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 48172283
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 631, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010222945272663, 'target_is_minimal': False, 'target_label': '855.2.bs.c.631.1', 'target_level': 855, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '57.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48172284
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 271, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9010222945272663, 'target_is_minimal': False, 'target_label': '855.2.bs.c.271.1', 'target_level': 855, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '57.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48172285
{'conductor': 95, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 99, 'target_dim': 36, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460123, 'target_is_minimal': False, 'target_label': '475.2.u.b.99.3', 'target_level': 475, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '95.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48172286
{'conductor': 95, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 176, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202539995, 'target_is_minimal': False, 'target_label': '475.2.l.c.176.1', 'target_level': 475, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '95.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48172287
{'conductor': 95, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 24, 'target_dim': 36, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504974050460123, 'target_is_minimal': False, 'target_label': '475.2.u.b.24.3', 'target_level': 475, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '95.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 48172288
{'conductor': 95, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 251, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007955202539995, 'target_is_minimal': False, 'target_label': '475.2.l.c.251.1', 'target_level': 475, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '95.59', 'twisting_conrey_index': 59, 'weight': 2}
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id: 48172289
{'conductor': 95, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 24, 'target_dim': 36, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460123, 'target_is_minimal': False, 'target_label': '475.2.u.b.24.4', 'target_level': 475, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '95.67', 'twisting_conrey_index': 67, 'weight': 2}
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id: 48172290
{'conductor': 95, 'degree': 12, 'order': 36, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 99, 'target_dim': 36, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504974050460123, 'target_is_minimal': False, 'target_label': '475.2.u.b.99.4', 'target_level': 475, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '95.78', 'twisting_conrey_index': 78, 'weight': 2}
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id: 48172291
{'conductor': 95, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 7, 'source_hecke_orbit_code': 81064793326225165, 'source_is_minimal': False, 'source_label': '1805.2.a.s.1.7', 'source_level': 1805, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 7, 'target_hecke_orbit_code': 243194379911570241, 'target_is_minimal': False, 'target_label': '9025.2.a.cc.1.7', 'target_level': 9025, 'twist_class_label': '95.2.k.a.61.3', 'twist_class_level': 95, 'twisting_char_label': '95.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 2222525
{'charpoly_factorization': [[[-1, -3, 15, 30, -21, -60, -26, 6, 6, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 2}
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id: 2222526
{'charpoly_factorization': [[[-1, -9, 48, 44, -81, -87, -1, 24, 9, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 3}
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id: 2222527
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 81064793326225165, 'p': 5}
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id: 2222528
{'charpoly_factorization': [[[19, -153, -651, -277, 342, 213, -24, -27, 0, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 7}
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id: 2222529
{'charpoly_factorization': [[[773, -7353, -20100, -7981, 2037, 1218, -52, -60, 0, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 11}
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id: 2222530
{'charpoly_factorization': [[[-53, -129, 723, 603, -906, -1116, -358, -15, 9, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 13}
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id: 2222531
{'charpoly_factorization': [[[1691, 9246, 15900, 9828, 1083, -1137, -404, -18, 9, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 17}
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id: 2222532
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 81064793326225165, 'p': 19}
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id: 2222533
{'charpoly_factorization': [[[-45667, -152217, -495, 48448, 9795, -2820, -968, -36, 12, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 23}
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id: 2222534
{'charpoly_factorization': [[[210403, -111699, -149670, -1959, 16863, 1278, -673, -66, 9, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 29}
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id: 2222535
{'charpoly_factorization': [[[-216991, -761745, -76425, 120768, 20847, -4947, -1184, 21, 18, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 31}
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id: 2222536
{'charpoly_factorization': [[[11125, 88800, 171945, 122083, 23907, -5517, -1624, -15, 18, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 37}
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id: 2222537
{'charpoly_factorization': [[[-361, -14991, -38463, -8253, 7155, 1722, -377, -78, 6, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 41}
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id: 2222538
{'charpoly_factorization': [[[1591019, -1642215, -1293732, 27666, 93060, 5331, -1946, -153, 12, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 43}
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id: 2222539
{'charpoly_factorization': [[[1425943, -957543, -503502, 492554, -90471, -5307, 2571, -108, -15, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 47}
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id: 2222540
{'charpoly_factorization': [[[211859, 747111, -330855, -265625, 69408, 10710, -2078, -159, 15, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 53}
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id: 2222541
{'charpoly_factorization': [[[-733771, -1077681, 423600, 387043, 35337, -13737, -2432, 6, 21, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 59}
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id: 2222542
{'charpoly_factorization': [[[61561, -73635, -76953, 82971, 15948, -8313, -2350, -123, 12, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 61}
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id: 2222543
{'charpoly_factorization': [[[6493589, -3809913, -5663877, -1086295, 233070, 115542, 18329, 1467, 60, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 67}
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id: 2222544
{'charpoly_factorization': [[[53239843, 43796832, 6997335, -1473512, -311469, 22452, 4184, -225, -18, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 71}
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id: 2222545
{'charpoly_factorization': [[[-24197203, 36875118, -19201911, 4046434, -186321, -51351, 6562, -33, -27, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 73}
-
id: 2222546
{'charpoly_factorization': [[[-3833, -33810, -2784, 32331, 11895, -3822, -2013, -141, 15, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 79}
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id: 2222547
{'charpoly_factorization': [[[189817057, 60517281, -13311495, -3980951, 273162, 78936, -1147, -507, 0, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 83}
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id: 2222548
{'charpoly_factorization': [[[-957419, 1164081, 2337321, -2096085, 608253, -72879, 1577, 438, -39, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 89}
-
id: 2222549
{'charpoly_factorization': [[[1914625, -7434300, -4561800, -255099, 204573, 18645, -3190, -243, 15, 1], 1]], 'hecke_orbit_code': 81064793326225165, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 19, 'label': '1805.2.a.s', 'level': 1805, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 62891347
{'hecke_orbit_code': 81064793326225165, 'n': 1, 'trace_an': 9}
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id: 62891348
{'hecke_orbit_code': 81064793326225165, 'n': 2, 'trace_an': -6}
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