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mf_newforms • Show schema
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{'Nk2': 552, 'analytic_conductor': 1.1019355478936692, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [138, 11, [47, 97], [11, 7]], 'cm_discs': [], 'conrey_index': 13, 'dim': 10, 'field_disc': -2357947691, 'field_disc_factorization': [[-1, 1], [11, 9]], 'field_poly': [1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 22, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [64009, -66792, 45012, -14399, 2178, 506, -165, 33, 0, 0, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007474166202506, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 23, 3, 1, 11, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '138.2.e.c', 'level': 138, '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': [2, 3, 23], 'level_radical': 138, 'minimal_twist': '138.2.e.c', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{22}q^{2}+\\zeta_{22}^{8}q^{3}+\\zeta_{22}^{2}q^{4}+(1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '138.2.e', 'trace_display': [1, -1, 0, -2], 'trace_hash': 787814216739727702, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.024', 'prec': 20}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
Hide schema
{'Nk2': 552, 'analytic_conductor': 1.1019355478936692, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 11, 'char_parity': 1, 'char_values': [138, 11, [47, 97], [11, 7]], 'conrey_index': 13, 'cusp_dim': 200, 'dim': 40, 'eis_dim': 80, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 274911461514, 'hecke_orbit_dims': [10, 10, 10, 10], 'label': '138.2.e', 'level': 138, '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': [2, 3, 23], 'level_radical': 138, 'mf_dim': 280, 'mf_new_dim': 40, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 4, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [0, 0, 8, 8], 'traces': [40, 0, 0, -4, 8, 0, 8, 0, -4, 4, 24, 0, 16, 8, 8, -4, -20, 0, -16, -36, 4, -32, -64, 0, -52, -28, 0, -36, -12, 12, -12, 0, 12, 24, 20, -4, -16, 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mf_twists_cc • Show schema
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id: 40807181
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 85, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202506, 'target_is_minimal': True, 'target_label': '138.2.e.c.85.1', 'target_level': 138, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 40807182
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 361, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739230, 'target_is_minimal': False, 'target_label': '414.2.i.b.361.1', 'target_level': 414, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 40807183
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 112589990717820006, 'target_is_minimal': False, 'target_label': '3174.2.a.z.1.2', 'target_level': 3174, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '23.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 40807184
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 13, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202506, 'target_is_minimal': True, 'target_label': '138.2.e.c.13.1', 'target_level': 138, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '23.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 40807185
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 108086391090449510, 'target_is_minimal': False, 'target_label': '3174.2.a.y.1.4', 'target_level': 3174, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '23.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 40807186
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 234187180656829746, 'target_is_minimal': False, 'target_label': '9522.2.a.ca.1.2', 'target_level': 9522, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '69.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 40807187
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 211669182519977266, 'target_is_minimal': False, 'target_label': '9522.2.a.bv.1.4', 'target_level': 9522, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '69.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 40807188
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 85, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 9007474166202506, 'source_is_minimal': True, 'source_label': '138.2.e.c.85.1', 'source_level': 138, 'target_conrey_index': 289, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504149416739230, 'target_is_minimal': False, 'target_label': '414.2.i.b.289.1', 'target_level': 414, 'twist_class_label': '138.2.e.c.13.1', 'twist_class_level': 138, 'twisting_char_label': '69.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 374975
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 2}
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id: 374976
{'charpoly_factorization': [[[1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 3}
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id: 374977
{'charpoly_factorization': [[[64009, -66792, 45012, -14399, 2178, 506, -165, 33, 0, 0, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 5}
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id: 374978
{'charpoly_factorization': [[[529, -2392, 3336, -1192, 504, -210, 93, -3, 15, 2, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 7}
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id: 374979
{'charpoly_factorization': [[[64009, -30613, 4961, -17908, 21780, -10384, 2882, -605, 99, -11, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 11}
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id: 374980
{'charpoly_factorization': [[[1, 6, 58, 40, 317, -254, -6, 96, 59, 13, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 13}
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id: 374981
{'charpoly_factorization': [[[33860761, 3328468, 2630056, -457743, 69575, 7117, -110, 253, -11, 0, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 17}
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id: 374982
{'charpoly_factorization': [[[978121, -658674, 333732, -155533, 50158, -3532, 313, -355, 26, 2, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 19}
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id: 374983
{'charpoly_factorization': [[[6436343, 2798410, 1216700, 313697, 81236, 16301, 3532, 593, 100, 10, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 23}
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id: 374984
{'charpoly_factorization': [[[591361, 424488, 288149, 241123, 141938, 54231, 14122, 2589, 344, 27, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 29}
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id: 374985
{'charpoly_factorization': [[[529, 8786, 54569, 59637, 42420, 17885, 5327, 959, 148, 18, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 31}
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id: 374986
{'charpoly_factorization': [[[157609, -43273, 88947, -161391, 75439, -10185, 1530, -285, 34, 1, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 37}
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id: 374987
{'charpoly_factorization': [[[38809, 24231, -9368, -89889, 26757, 25686, 8380, 1511, 223, 16, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 41}
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id: 374988
{'charpoly_factorization': [[[978121, -1561631, 1577436, -892863, 407097, -106294, 15900, -1675, 191, -20, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 43}
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id: 374989
{'charpoly_factorization': [[[253, 352, -22, -55, 0, 1], 2]], 'hecke_orbit_code': 9007474166202506, 'p': 47}
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id: 374990
{'charpoly_factorization': [[[31956409, -34703767, 16282839, -4558619, 886183, -117281, 13003, -1143, 67, 1, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 53}
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id: 374991
{'charpoly_factorization': [[[1, -10, 177, 188, 1046, 672, 199, -65, -21, 1, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 59}
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id: 374992
{'charpoly_factorization': [[[39601, 133728, 409388, 406440, 245136, 88298, 23189, 4291, 507, 34, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 61}
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id: 374993
{'charpoly_factorization': [[[10042561, 7228489, 3290875, 1122064, 273716, 50942, 10311, 1644, 64, -8, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 67}
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id: 374994
{'charpoly_factorization': [[[64009, -200376, 431607, 573661, 589633, 257224, 56584, 6028, 374, 22, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 71}
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id: 374995
{'charpoly_factorization': [[[20151121, -11428994, 5198262, -1763172, 500817, -103896, 17924, -2852, 389, -31, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 73}
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id: 374996
{'charpoly_factorization': [[[650199001, -253256068, 84028209, -17829723, 2343870, -259159, 34783, -4751, 496, -32, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 79}
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id: 374997
{'charpoly_factorization': [[[6146089609, -3440844330, 728881131, -87644172, 10096119, -836693, 92510, -7876, 627, -33, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 83}
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id: 374998
{'charpoly_factorization': [[[4197614521, -717732542, 149279439, -8214260, -49675, 244289, 25884, 1772, 221, 23, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 89}
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id: 374999
{'charpoly_factorization': [[[16124682289, 5369222189, 618026861, 4919091, 9899638, 621204, 27380, 6172, 221, 1, 1], 1]], 'hecke_orbit_code': 9007474166202506, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 3, 'label': '138.2.e.c', 'level': 138, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 30427465
{'hecke_orbit_code': 9007474166202506, 'n': 1, 'trace_an': 10}
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id: 30427466
{'hecke_orbit_code': 9007474166202506, 'n': 2, 'trace_an': 1}
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id: 30427467
{'hecke_orbit_code': 9007474166202506, 'n': 3, 'trace_an': -1}
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id: 30427468
{'hecke_orbit_code': 9007474166202506, 'n': 4, 'trace_an': -1}
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id: 30427469
{'hecke_orbit_code': 9007474166202506, 'n': 5, 'trace_an': 0}
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id: 30427470
{'hecke_orbit_code': 9007474166202506, 'n': 6, 'trace_an': 1}
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id: 30427471
{'hecke_orbit_code': 9007474166202506, 'n': 7, 'trace_an': -2}
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id: 30427472
{'hecke_orbit_code': 9007474166202506, 'n': 8, 'trace_an': 1}
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id: 30427473
{'hecke_orbit_code': 9007474166202506, 'n': 9, 'trace_an': -1}
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id: 30427474
{'hecke_orbit_code': 9007474166202506, 'n': 10, 'trace_an': 11}
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id: 30427475
{'hecke_orbit_code': 9007474166202506, 'n': 11, 'trace_an': 11}
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id: 30427476
{'hecke_orbit_code': 9007474166202506, 'n': 12, 'trace_an': -1}
-
id: 30427477
{'hecke_orbit_code': 9007474166202506, 'n': 13, 'trace_an': -13}
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id: 30427478
{'hecke_orbit_code': 9007474166202506, 'n': 14, 'trace_an': 13}
-
id: 30427479
{'hecke_orbit_code': 9007474166202506, 'n': 15, 'trace_an': -11}
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id: 30427480
{'hecke_orbit_code': 9007474166202506, 'n': 16, 'trace_an': -1}
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id: 30427481
{'hecke_orbit_code': 9007474166202506, 'n': 17, 'trace_an': 0}
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id: 30427482
{'hecke_orbit_code': 9007474166202506, 'n': 18, 'trace_an': 1}
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id: 30427483
{'hecke_orbit_code': 9007474166202506, 'n': 19, 'trace_an': -2}
-
id: 30427484
{'hecke_orbit_code': 9007474166202506, 'n': 20, 'trace_an': -11}
-
id: 30427485
{'hecke_orbit_code': 9007474166202506, 'n': 21, 'trace_an': 9}
-
id: 30427486
{'hecke_orbit_code': 9007474166202506, 'n': 22, 'trace_an': -22}
-
id: 30427487
{'hecke_orbit_code': 9007474166202506, 'n': 23, 'trace_an': -10}
-
id: 30427488
{'hecke_orbit_code': 9007474166202506, 'n': 24, 'trace_an': -10}
-
id: 30427489
{'hecke_orbit_code': 9007474166202506, 'n': 25, 'trace_an': 5}
-
id: 30427490
{'hecke_orbit_code': 9007474166202506, 'n': 26, 'trace_an': -9}
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id: 30427491
{'hecke_orbit_code': 9007474166202506, 'n': 27, 'trace_an': -1}
-
id: 30427492
{'hecke_orbit_code': 9007474166202506, 'n': 28, 'trace_an': -13}
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id: 30427493
{'hecke_orbit_code': 9007474166202506, 'n': 29, 'trace_an': -27}
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id: 30427494
{'hecke_orbit_code': 9007474166202506, 'n': 30, 'trace_an': 11}
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id: 30427495
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