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{'Nk2': 38088, 'analytic_conductor': 76.03355280466319, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [23, 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': [9522, 1, [2117, 1063], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 10, 'field_disc': 52900342088704, 'field_disc_factorization': [[2, 10], [11, 8], [241, 1]], 'field_poly': [-241, 0, 548, 0, -390, 0, 123, 0, -18, 0, 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': [[5, [23, 42, -653, -224, 822, -66, -269, 72, 21, -10, 1]], [7, [-3013, -5032, 16921, -3480, -6646, 1000, 907, -80, -51, 2, 1]], [11, [1, -20, 117, -84, -1015, 2178, -1336, 258, 21, -12, 1]], [29, [132703, -159064, -155526, 249952, -51383, -22662, 4985, 604, -135, -4, 1]]], 'hecke_orbit': 62, 'hecke_orbit_code': 274719577303164210, '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': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '9522.2.a.cj', 'level': 9522, '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, 23], 'level_radical': 138, 'minimal_twist': '414.2.i.g', 'nf_label': '10.10.52900342088704.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+q^{4}+(1+\\beta _{2})q^{5}+(-\\beta _{2}+\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '9522.2.a', 'trace_display': [10, 0, 10, -2], 'trace_hash': 936333519143208343, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.114', 'prec': 17}, {'__RealLiteral__': 0, 'data': '8.384', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.382', 'prec': 17}, {'__RealLiteral__': 0, 'data': '201.402', 'prec': 24}, {'__RealLiteral__': 0, 'data': '137.478', 'prec': 24}, {'__RealLiteral__': 0, 'data': '7584.707', 'prec': 27}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.011', 'prec': 17}, 'traces': [10, 10, 0, 10, 10, 0, -2, 10, 0, 10, 12, 0, 0, -2, 0, 10, 24, 0, 8, 10, 0, 12, 0, 0, 8, 0, 0, -2, 4, 0, 18, 10, 0, 24, -24, 0, 12, 8, 0, 10, 28, 0, 8, 12, 0, 0, -16, 0, 36, 8, 0, 0, 34, 0, 30, -2, 0, 4, -22, 0, 30, 18, 0, 10, 36, 0, 18, 24, 0, -24, -28, 0, -20, 12, 0, 8, -20, 0, 2, 10, 0, 28, 44, 0, 16, 8, 0, 12, 44, 0, 22, 0, 0, -16, -10, 0, 18, 36, 0, 8, -18, 0, 12, 0, 0, 34, 22, 0, 38, 30, 0, -2, 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'embedding_m': 10, 'embedding_root_imag': 0.0, 'embedding_root_real': 2.3233332496901498, 'hecke_orbit': 62, 'hecke_orbit_code': 274719577303164210, 'label': '9522.2.a.cj.1.10', 'level': 9522, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [24, 18, 33, 30, 24, 18, 27, 36], 'Nk2': 38088, 'analytic_conductor': 76.03355280466319, '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': [9522, 1, [2117, 1063], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1561, 'dim': 210, 'eis_dim': 191, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 29], 'hecke_orbit_code': 33563954, 'hecke_orbit_dims': [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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 5, 6, 6, 8, 8, 8, 10, 10, 10, 10], 'label': '9522.2.a', 'level': 9522, '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, 23], 'level_radical': 138, 'mf_dim': 1752, 'mf_new_dim': 210, 'num_forms': 62, 'plus_dim': 99, 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32, 0, -312, 72, 0, 12], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49105352
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 274719577303164210, 'target_is_minimal': False, 'target_label': '9522.2.a.cj.1.10', 'target_level': 9522, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49105353
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 261208778421052722, 'target_is_minimal': False, 'target_label': '9522.2.a.cg.1.1', 'target_level': 9522, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49105354
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 73, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022147553591710, 'target_is_minimal': True, 'target_label': '414.2.i.g.73.2', 'target_level': 414, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '23.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49105355
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 397, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27022147553591710, 'target_is_minimal': True, 'target_label': '414.2.i.g.397.2', 'target_level': 414, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '23.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 49105356
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 270215977675793714, 'target_is_minimal': False, 'target_label': '9522.2.a.ci.1.1', 'target_level': 9522, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 49105357
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 73, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962206, 'target_is_minimal': True, 'target_label': '414.2.i.h.73.1', 'target_level': 414, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '69.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49105358
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 397, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525747180962206, 'target_is_minimal': True, 'target_label': '414.2.i.h.397.1', 'target_level': 414, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '69.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 49105359
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 10, 'source_embedding_index': 10, 'source_hecke_orbit_code': 274719577303164210, 'source_is_minimal': False, 'source_label': '9522.2.a.cj.1.10', 'source_level': 9522, 'target_conrey_index': 1, 'target_dim': 10, 'target_embedding_index': 10, 'target_hecke_orbit_code': 265712378048423218, 'target_is_minimal': False, 'target_label': '9522.2.a.ch.1.10', 'target_level': 9522, 'twist_class_label': '414.2.i.g.73.2', 'twist_class_level': 414, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 5051400
{'charpoly_factorization': [[[-1, 1], 10]], 'hecke_orbit_code': 274719577303164210, 'p': 2}
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id: 5051401
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 274719577303164210, 'p': 3}
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id: 5051402
{'charpoly_factorization': [[[23, 42, -653, -224, 822, -66, -269, 72, 21, -10, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 5}
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id: 5051403
{'charpoly_factorization': [[[-3013, -5032, 16921, -3480, -6646, 1000, 907, -80, -51, 2, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 7}
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id: 5051404
{'charpoly_factorization': [[[1, -20, 117, -84, -1015, 2178, -1336, 258, 21, -12, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 11}
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id: 5051405
{'charpoly_factorization': [[[-21317, 9152, 54099, 506, -16559, -396, 1757, 22, -74, 0, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 13}
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id: 5051406
{'charpoly_factorization': [[[-2507, -14772, 14222, 23546, -34611, 15026, -1697, -576, 205, -24, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 17}
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id: 5051407
{'charpoly_factorization': [[[45737, 93460, -282479, 150956, 14984, -20084, 1299, 746, -81, -8, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 19}
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id: 5051408
{'charpoly_factorization': [[[0, 1], 10]], 'hecke_orbit_code': 274719577303164210, 'p': 23}
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id: 5051409
{'charpoly_factorization': [[[132703, -159064, -155526, 249952, -51383, -22662, 4985, 604, -135, -4, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 29}
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id: 5051410
{'charpoly_factorization': [[[-90157, 392484, -345353, -1044, 78879, -12516, -4409, 1002, 30, -18, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 31}
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id: 5051411
{'charpoly_factorization': [[[-27301, 95400, -66098, -25992, 33614, -3450, -3295, 900, -28, -12, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 37}
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id: 5051412
{'charpoly_factorization': [[[-2797387, 1768952, 1254521, -1062586, 70735, 93996, -24521, 1434, 190, -28, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 41}
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id: 5051413
{'charpoly_factorization': [[[-699931, -1429138, 357479, 452906, -84533, -39202, 6403, 1142, -158, -8, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 43}
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id: 5051414
{'charpoly_factorization': [[[1948123, 21184, -1416048, -379420, 139474, 50150, -2103, -1668, -52, 16, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 47}
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id: 5051415
{'charpoly_factorization': [[[96471, 1379754, -3716739, -433836, 488694, 13816, -21598, 940, 307, -34, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 53}
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id: 5051416
{'charpoly_factorization': [[[-47391707, 32808182, 2535192, -4130456, 70906, 170522, -2277, -3102, -44, 22, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 59}
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id: 5051417
{'charpoly_factorization': [[[-88955329, -98935140, -15388185, 6247706, 1082688, -194214, -22791, 3606, 117, -30, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 61}
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id: 5051418
{'charpoly_factorization': [[[-6040519, 6678798, -172074, -2469966, 1135507, -141510, -16045, 4380, -145, -18, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 67}
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id: 5051419
{'charpoly_factorization': [[[-844205317, -554938426, -71346733, 24932982, 7653013, 447776, -64374, -8430, -63, 28, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 71}
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id: 5051420
{'charpoly_factorization': [[[-21261899, 24081146, 719047, -5883784, 160683, 316448, 1163, -5306, -202, 20, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 73}
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id: 5051421
{'charpoly_factorization': [[[121460723, -280041134, 87068329, 11429428, -4655645, -177150, 74451, 1086, -468, -2, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 79}
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id: 5051422
{'charpoly_factorization': [[[174373321, -233389288, 109086388, -17571818, -1626513, 934956, -112964, 2376, 548, -44, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 83}
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id: 5051423
{'charpoly_factorization': [[[87862093, -422749800, 342468478, -96242432, 8788351, 614086, -161788, 6864, 440, -44, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 89}
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id: 5051424
{'charpoly_factorization': [[[-909872503, -1251672550, -69015823, 83207114, -1448548, -1367232, 53715, 8482, -421, -18, 1], 1]], 'hecke_orbit_code': 274719577303164210, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 62, 'label': '9522.2.a.cj', 'level': 9522, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 72150709
{'hecke_orbit_code': 274719577303164210, 'n': 1, 'trace_an': 10}
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id: 72150710
{'hecke_orbit_code': 274719577303164210, 'n': 2, 'trace_an': 10}
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id: 72150711
{'hecke_orbit_code': 274719577303164210, 'n': 3, 'trace_an': 0}
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id: 72150712
{'hecke_orbit_code': 274719577303164210, 'n': 4, 'trace_an': 10}
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id: 72150713
{'hecke_orbit_code': 274719577303164210, 'n': 5, 'trace_an': 10}
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id: 72150714
{'hecke_orbit_code': 274719577303164210, 'n': 6, 'trace_an': 0}
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id: 72150715
{'hecke_orbit_code': 274719577303164210, 'n': 7, 'trace_an': -2}
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id: 72150716
{'hecke_orbit_code': 274719577303164210, 'n': 8, 'trace_an': 10}
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id: 72150717
{'hecke_orbit_code': 274719577303164210, 'n': 9, 'trace_an': 0}
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id: 72150718
{'hecke_orbit_code': 274719577303164210, 'n': 10, 'trace_an': 10}
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id: 72150719
{'hecke_orbit_code': 274719577303164210, 'n': 11, 'trace_an': 12}
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id: 72150720
{'hecke_orbit_code': 274719577303164210, 'n': 12, 'trace_an': 0}
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id: 72150721
{'hecke_orbit_code': 274719577303164210, 'n': 13, 'trace_an': 0}
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id: 72150722
{'hecke_orbit_code': 274719577303164210, 'n': 14, 'trace_an': -2}
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