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mf_newforms • Show schema
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{'Nk2': 228, 'analytic_conductor': 0.4551472915212982, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [57, 9, [20, 40], [9, 1]], 'cm_discs': [], 'conrey_index': 4, 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 3, 3, -8, 6, -3, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 549789368377, 'hecke_ring_generator_nbound': 3, '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, 19, 5, 1, 9, 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': '57.2.i.a', 'level': 57, '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, 19], 'level_radical': 57, 'minimal_twist': '57.2.i.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+(\\zeta_{18}^{2}+\\zeta_{18}^{3}-\\zeta_{18}^{5})q^{2}-\\zeta_{18}^{4}q^{3}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '57.2.i', 'trace_display': [3, 0, -6, 3], 'trace_hash': 2012265311906255840, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, {'__RealLiteral__': 0, 'data': '6.206', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '103.974', 'prec': 24}, 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mf_hecke_cc • Show schema
Hide schema
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-
mf_newspaces • Show schema
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{'Nk2': 228, 'analytic_conductor': 0.4551472915212982, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [57, 9, [20, 40], [9, 1]], 'conrey_index': 4, 'cusp_dim': 30, 'dim': 18, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 549789368377, 'hecke_orbit_dims': [6, 12], 'label': '57.2.i', 'level': 57, '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, 19], 'level_radical': 57, 'mf_dim': 54, 'mf_new_dim': 18, 'num_forms': 2, 'prim_orbit_index': 5, 'relative_dim': 3, 'sturm_bound': 13, 'trace_bound': 1, 'trace_display': [0, 0, 0, -6], 'traces': [18, 0, 0, -6, 0, -6, -6, 0, 0, -24, -6, -6, -9, 6, 12, 18, 0, 0, 9, -12, 3, -24, 0, 24, -12, 12, -3, 30, 12, 0, -24, -6, -6, 42, 24, -6, 0, 24, 0, 6, -12, -12, 33, 24, 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mf_twists_cc • Show schema
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id: 6318053
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 28, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368377, 'target_is_minimal': True, 'target_label': '57.2.i.a.28.1', 'target_level': 57, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 6318054
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 28, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089323, 'target_is_minimal': False, 'target_label': '171.2.u.a.28.1', 'target_level': 171, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6318055
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 769, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506348439995280, 'target_is_minimal': False, 'target_label': '912.2.bo.b.769.1', 'target_level': 912, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 6318056
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 54043195562001467, 'target_is_minimal': False, 'target_label': '1083.2.a.m.1.3', 'target_level': 1083, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '19.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 6318057
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189371963, 'target_is_minimal': False, 'target_label': '1083.2.a.n.1.1', 'target_level': 1083, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '19.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 6318058
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368377, 'target_is_minimal': True, 'target_label': '57.2.i.a.55.1', 'target_level': 57, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '19.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 6318059
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 55, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1374423089323, 'target_is_minimal': False, 'target_label': '171.2.u.a.55.1', 'target_level': 171, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '57.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 6318060
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 103582791463079089, 'target_is_minimal': False, 'target_label': '3249.2.a.x.1.3', 'target_level': 3249, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '57.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 6318061
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 99079191835708593, 'target_is_minimal': False, 'target_label': '3249.2.a.w.1.1', 'target_level': 3249, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '57.44', 'twisting_conrey_index': 44, 'weight': 2}
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id: 6318062
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 28, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368377, 'source_is_minimal': True, 'source_label': '57.2.i.a.28.1', 'source_level': 57, 'target_conrey_index': 625, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506348439995280, 'target_is_minimal': False, 'target_label': '912.2.bo.b.625.1', 'target_level': 912, 'twist_class_label': '57.2.i.a.28.1', 'twist_class_level': 57, 'twisting_char_label': '76.55', 'twisting_conrey_index': 55, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 189900
{'charpoly_factorization': [[[1, 3, 3, -8, 6, -3, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 2}
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id: 189901
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 3}
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id: 189902
{'charpoly_factorization': [[[9, 27, 36, 30, 18, 6, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 5}
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id: 189903
{'charpoly_factorization': [[[1, 0, 3, -2, 9, -3, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 7}
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id: 189904
{'charpoly_factorization': [[[1369, -666, 435, -20, 27, -3, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 11}
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id: 189905
{'charpoly_factorization': [[[361, 570, 366, 125, 30, 6, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 13}
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id: 189906
{'charpoly_factorization': [[[2809, 3975, 2262, 656, 114, 12, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 17}
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id: 189907
{'charpoly_factorization': [[[6859, -6498, 3078, -883, 162, -18, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 19}
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id: 189908
{'charpoly_factorization': [[[5329, -657, 225, 8, 18, 9, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 23}
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id: 189909
{'charpoly_factorization': [[[2809, 3180, 1236, 235, 60, -12, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 29}
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id: 189910
{'charpoly_factorization': [[[239121, 92421, 23985, 3558, 387, 24, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 31}
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id: 189911
{'charpoly_factorization': [[[51, -9, -6, 1], 2]], 'hecke_orbit_code': 549789368377, 'p': 37}
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id: 189912
{'charpoly_factorization': [[[2601, -4131, 2412, -597, 81, -6, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 41}
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id: 189913
{'charpoly_factorization': [[[361, 3078, 11124, -1423, 144, -18, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 43}
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id: 189914
{'charpoly_factorization': [[[45369, 9585, 9108, 3216, 477, 33, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 47}
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id: 189915
{'charpoly_factorization': [[[83521, 73695, 24276, 3655, 375, 24, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 53}
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id: 189916
{'charpoly_factorization': [[[7921, 801, -450, -224, 54, 0, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 59}
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id: 189917
{'charpoly_factorization': [[[1369, 4218, 3801, 323, 204, 21, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 61}
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id: 189918
{'charpoly_factorization': [[[87616, -24864, 8736, -2368, 372, -30, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 67}
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id: 189919
{'charpoly_factorization': [[[23409, -13770, 4212, -819, 144, -18, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 71}
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id: 189920
{'charpoly_factorization': [[[11881, 7848, 5544, 1918, 324, 27, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 73}
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id: 189921
{'charpoly_factorization': [[[2809, -4452, 3144, -1061, 168, -12, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 79}
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id: 189922
{'charpoly_factorization': [[[2601, 1836, 2061, -642, 189, -15, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 83}
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id: 189923
{'charpoly_factorization': [[[1265625, -253125, 50625, -9000, 900, -45, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 89}
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id: 189924
{'charpoly_factorization': [[[72361, -32280, 7674, -1396, 210, -21, 1], 1]], 'hecke_orbit_code': 549789368377, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '57.2.i.a', 'level': 57, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 9765624
{'hecke_orbit_code': 549789368377, 'n': 1, 'trace_an': 6}
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id: 9765625
{'hecke_orbit_code': 549789368377, 'n': 2, 'trace_an': 3}
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id: 9765626
{'hecke_orbit_code': 549789368377, 'n': 3, 'trace_an': 0}
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id: 9765627
{'hecke_orbit_code': 549789368377, 'n': 4, 'trace_an': -3}
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id: 9765628
{'hecke_orbit_code': 549789368377, 'n': 5, 'trace_an': -6}
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id: 9765629
{'hecke_orbit_code': 549789368377, 'n': 6, 'trace_an': -3}
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id: 9765630
{'hecke_orbit_code': 549789368377, 'n': 7, 'trace_an': 3}
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id: 9765631
{'hecke_orbit_code': 549789368377, 'n': 8, 'trace_an': -3}
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id: 9765632
{'hecke_orbit_code': 549789368377, 'n': 9, 'trace_an': 0}
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id: 9765633
{'hecke_orbit_code': 549789368377, 'n': 10, 'trace_an': -6}
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id: 9765634
{'hecke_orbit_code': 549789368377, 'n': 11, 'trace_an': 3}
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id: 9765635
{'hecke_orbit_code': 549789368377, 'n': 12, 'trace_an': 0}
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id: 9765636
{'hecke_orbit_code': 549789368377, 'n': 13, 'trace_an': -6}
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id: 9765637
{'hecke_orbit_code': 549789368377, 'n': 14, 'trace_an': 9}
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id: 9765638
{'hecke_orbit_code': 549789368377, 'n': 15, 'trace_an': 6}
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id: 9765639
{'hecke_orbit_code': 549789368377, 'n': 16, 'trace_an': -15}
-
id: 9765640
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id: 9765853
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id: 9765854
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id: 9765855
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id: 9765856
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id: 9765857
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id: 9765858
{'hecke_orbit_code': 549789368377, 'n': 841, 'trace_an': 24}
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id: 9765859
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id: 9765860
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id: 9765861
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id: 9765862
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id: 9765863
{'hecke_orbit_code': 549789368377, 'n': 877, 'trace_an': -51}
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id: 9765864
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id: 9765865
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id: 9765866
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id: 9765867
{'hecke_orbit_code': 549789368377, 'n': 907, 'trace_an': 54}
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id: 9765868
{'hecke_orbit_code': 549789368377, 'n': 911, 'trace_an': 12}
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id: 9765869
{'hecke_orbit_code': 549789368377, 'n': 919, 'trace_an': 33}
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id: 9765870
{'hecke_orbit_code': 549789368377, 'n': 929, 'trace_an': -51}
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id: 9765871
{'hecke_orbit_code': 549789368377, 'n': 937, 'trace_an': 24}
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id: 9765872
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id: 9765873
{'hecke_orbit_code': 549789368377, 'n': 947, 'trace_an': 24}
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id: 9765874
{'hecke_orbit_code': 549789368377, 'n': 953, 'trace_an': 48}
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id: 9765875
{'hecke_orbit_code': 549789368377, 'n': 961, 'trace_an': -105}
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id: 9765876
{'hecke_orbit_code': 549789368377, 'n': 967, 'trace_an': 93}
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id: 9765877
{'hecke_orbit_code': 549789368377, 'n': 971, 'trace_an': -45}
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id: 9765878
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id: 9765879
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id: 9765880
{'hecke_orbit_code': 549789368377, 'n': 991, 'trace_an': 36}
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id: 9765881
{'hecke_orbit_code': 549789368377, 'n': 997, 'trace_an': 0}