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{'Nk2': 31740, 'analytic_conductor': 63.36129400388599, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, -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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 8, 'field_disc': 595829302272, 'field_disc_factorization': [[2, 10], [3, 4], [37, 1], [194149, 1]], 'field_poly': [16, -8, -50, 12, 44, -2, -12, 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': [[2, [16, -8, -50, 12, 44, -2, -12, 0, 1]], [7, [-8, 280, 380, -712, 30, 130, -17, -6, 1]], [11, [148, -1364, 3197, -526, -769, 242, 17, -12, 1]]], 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364159231, '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': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '7935.2.a.bi', 'level': 7935, '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': [3, 5, 23], 'level_radical': 345, 'minimal_twist': '7935.2.a.bh', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+q^{3}+(1+\\beta _{2})q^{4}+q^{5}+\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7935.2.a', 'trace_display': [0, 8, 8, 6], 'trace_hash': 785233921157245894, 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-0.05918186424564072, -0.29297346777330124, -0.2109011467490825, -0.19677602545616768, -0.09889474508922673, -0.25434382079146306, -0.2902970830517211, -0.10852343649261653, -0.1680253260620684, -0.29285568906325266, -0.22626219269703254, -0.32160306475466566, -0.3061943091146786, -0.29600201154849376, -0.05149535344842651, -0.08833742148094276, -0.2688019841697337, -0.2510570914162858, -0.12925090252897242, -0.401107790603859, -0.272495506091878, -0.15098258295681138, -0.27457703119133503], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 3, 'dual_embedding_m': 3, 'embedding_index': 3, 'embedding_m': 3, 'embedding_root_imag': 0.0, 'embedding_root_real': -1.3712480279402823, 'hecke_orbit': 35, 'hecke_orbit_code': 153122387364159231, 'label': '7935.2.a.bi.1.3', 'level': 7935, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [41, 44, 51, 33, 43, 40, 33, 51], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [11, 12, 12, 12, 12, 12, 12, 12], 'ALdims_old': [80, 98, 93, 89, 89, 92, 99, 81], 'Nk2': 31740, 'analytic_conductor': 63.36129400388599, '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': [7935, 1, [5291, 4762, 7411], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1057, 'dim': 336, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 33562367, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 5, 5, 6, 6, 6, 6, 8, 8, 10, 10, 12, 12, 15, 15, 15, 15, 16, 16, 25, 25, 25, 25], 'label': '7935.2.a', 'level': 7935, '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': [3, 5, 23], 'level_radical': 345, 'mf_dim': 1152, 'mf_new_dim': 336, 'num_forms': 49, 'plus_dim': 147, 'prim_orbit_index': 1, 'relative_dim': 336, 'sturm_bound': 2208, 'trace_bound': 7, 'trace_display': [4, -2, 0, 0], 'traces': [336, 4, -2, 340, 0, 2, 0, 12, 336, 4, 16, -6, -8, -8, 2, 340, 0, 4, 8, -8, -8, -8, 0, -6, 336, 24, -2, 8, 16, 2, 16, 28, 0, -24, 8, 340, 16, 8, -4, 12, 24, 0, 8, 24, 0, 0, 16, 2, 328, 4, 12, -32, -8, 2, 0, -32, -16, 24, 0, 6, -16, -32, 0, 348, 16, 16, 8, 24, 0, -24, 24, 12, 8, 0, -2, 0, -40, -28, 8, 0, 336, 32, -8, -8, 8, 0, -20, 16, 8, 4, -32, 0, -16, 24, 0, -30, 0, 44, 16, 340, 16, 36, -8, 88, 0, 16, 16, -6, -8, -24, 4, 64, 56, 24, 0, 64, -8, -8, -8, -6, 376, -64, -12, 40, 0, -8, -48, 4, -16, 8, 8, -8, -8, -64, 2, -48, 24, 0, 40, 0, 24, 16, -40, 340, 24, -120, -18, 48, 16, 2, 8, -64, 0, -32, 0, 44, 8, -64, -28, 28, 0, 4, -56, 16, 0, 40, 8, 72, 384, 24, 8, 32, 88, 36, 0, -16, 32, 8, 40, -8, 88, -8, 4, 0, 16, 24, 64, -80, -8, -16, -96, 74, 16, 16, 4, 316, 72, 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mf_twists_cc • Show schema
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id: 48835918
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 153122387364159231, 'source_is_minimal': True, 'source_label': '7935.2.a.bi.1.3', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 153122387364159231, 'target_is_minimal': True, 'target_label': '7935.2.a.bi.1.3', 'target_level': 7935, 'twist_class_label': '7935.2.a.bh.1.3', 'twist_class_level': 7935, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48835919
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 3, 'source_hecke_orbit_code': 153122387364159231, 'source_is_minimal': True, 'source_label': '7935.2.a.bi.1.3', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 3, 'target_hecke_orbit_code': 148618787736788735, 'target_is_minimal': True, 'target_label': '7935.2.a.bh.1.3', 'target_level': 7935, 'twist_class_label': '7935.2.a.bh.1.3', 'twist_class_level': 7935, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4612875
{'charpoly_factorization': [[[16, -8, -50, 12, 44, -2, -12, 0, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 2}
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id: 4612876
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 153122387364159231, 'p': 3}
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id: 4612877
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 153122387364159231, 'p': 5}
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id: 4612878
{'charpoly_factorization': [[[-8, 280, 380, -712, 30, 130, -17, -6, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 7}
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id: 4612879
{'charpoly_factorization': [[[148, -1364, 3197, -526, -769, 242, 17, -12, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 11}
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id: 4612880
{'charpoly_factorization': [[[-5898, 11196, -2480, -2750, 758, 192, -51, -4, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 13}
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id: 4612881
{'charpoly_factorization': [[[49176, -59448, 4774, 14696, -5692, 486, 96, -20, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 17}
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id: 4612882
{'charpoly_factorization': [[[4, -112, -287, -8, 287, 52, -41, -4, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 19}
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id: 4612883
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 153122387364159231, 'p': 23}
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id: 4612884
{'charpoly_factorization': [[[-172224, 157632, -27152, -12336, 3720, 232, -120, 0, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 29}
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id: 4612885
{'charpoly_factorization': [[[13792, 42648, -16747, -7234, 2471, 332, -109, -2, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 31}
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id: 4612886
{'charpoly_factorization': [[[-329522, 588936, -120328, -32110, 8306, 488, -163, -2, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 37}
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id: 4612887
{'charpoly_factorization': [[[-63792, 116184, -78155, 21658, -343, -1218, 291, -28, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 41}
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id: 4612888
{'charpoly_factorization': [[[-2402, -5996, -3564, 1454, 1588, 54, -109, -4, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 43}
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id: 4612889
{'charpoly_factorization': [[[100608, -408192, -362144, 81504, 14016, -2024, -204, 12, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 47}
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id: 4612890
{'charpoly_factorization': [[[-45032, 114016, -17570, -26136, 6020, 862, -162, -6, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 53}
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id: 4612891
{'charpoly_factorization': [[[357216, 335472, -145724, -30232, 10688, 732, -234, -2, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 59}
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id: 4612892
{'charpoly_factorization': [[[1120717, -1229692, 168704, 170088, -48338, 3236, 204, -32, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 61}
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id: 4612893
{'charpoly_factorization': [[[117312, -123840, 8944, 22608, -5564, -616, 313, -32, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 67}
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id: 4612894
{'charpoly_factorization': [[[-2015432, 5632964, -1940383, -92100, 50515, 542, -411, -2, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 71}
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id: 4612895
{'charpoly_factorization': [[[-395552, -592128, -114136, 54952, 14228, -776, -262, 2, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 73}
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id: 4612896
{'charpoly_factorization': [[[876868, -1608872, 554717, 60788, -25281, -2048, 295, 36, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 79}
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id: 4612897
{'charpoly_factorization': [[[-118559816, 63720000, -3721994, -1054864, 86508, 5698, -526, -10, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 83}
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id: 4612898
{'charpoly_factorization': [[[25463904, -14259312, 1341268, 430648, -92312, 3536, 442, -42, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 89}
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id: 4612899
{'charpoly_factorization': [[[91744, 2148896, 454438, -207400, -7502, 5294, -254, -16, 1], 1]], 'hecke_orbit_code': 153122387364159231, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 35, 'label': '7935.2.a.bi', 'level': 7935, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 69606055
{'hecke_orbit_code': 153122387364159231, 'n': 1, 'trace_an': 8}
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id: 69606056
{'hecke_orbit_code': 153122387364159231, 'n': 2, 'trace_an': 0}
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id: 69606057
{'hecke_orbit_code': 153122387364159231, 'n': 3, 'trace_an': 8}
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id: 69606058
{'hecke_orbit_code': 153122387364159231, 'n': 4, 'trace_an': 8}
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id: 69606059
{'hecke_orbit_code': 153122387364159231, 'n': 5, 'trace_an': 8}
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id: 69606060
{'hecke_orbit_code': 153122387364159231, 'n': 6, 'trace_an': 0}
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id: 69606061
{'hecke_orbit_code': 153122387364159231, 'n': 7, 'trace_an': 6}
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id: 69606062
{'hecke_orbit_code': 153122387364159231, 'n': 8, 'trace_an': 6}
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id: 69606063
{'hecke_orbit_code': 153122387364159231, 'n': 9, 'trace_an': 8}
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id: 69606064
{'hecke_orbit_code': 153122387364159231, 'n': 10, 'trace_an': 0}
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id: 69606065
{'hecke_orbit_code': 153122387364159231, 'n': 11, 'trace_an': 12}
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id: 69606066
{'hecke_orbit_code': 153122387364159231, 'n': 12, 'trace_an': 8}
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id: 69606067
{'hecke_orbit_code': 153122387364159231, 'n': 13, 'trace_an': 4}
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id: 69606068
{'hecke_orbit_code': 153122387364159231, 'n': 14, 'trace_an': 0}
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id: 69606069
{'hecke_orbit_code': 153122387364159231, 'n': 15, 'trace_an': 8}
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id: 69606070
{'hecke_orbit_code': 153122387364159231, 'n': 16, 'trace_an': 0}
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id: 69606071
{'hecke_orbit_code': 153122387364159231, 'n': 17, 'trace_an': 20}
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id: 69606072
{'hecke_orbit_code': 153122387364159231, 'n': 18, 'trace_an': 0}
-
id: 69606073
{'hecke_orbit_code': 153122387364159231, 'n': 19, 'trace_an': 4}
-
id: 69606074
{'hecke_orbit_code': 153122387364159231, 'n': 20, 'trace_an': 8}
-
id: 69606075
{'hecke_orbit_code': 153122387364159231, 'n': 21, 'trace_an': 6}
-
id: 69606076
{'hecke_orbit_code': 153122387364159231, 'n': 22, 'trace_an': 14}
-
id: 69606077
{'hecke_orbit_code': 153122387364159231, 'n': 23, 'trace_an': 0}
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id: 69606078
{'hecke_orbit_code': 153122387364159231, 'n': 24, 'trace_an': 6}
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id: 69606079
{'hecke_orbit_code': 153122387364159231, 'n': 25, 'trace_an': 8}
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id: 69606080
{'hecke_orbit_code': 153122387364159231, 'n': 26, 'trace_an': -22}
-
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id: 69606281
{'hecke_orbit_code': 153122387364159231, 'n': 797, 'trace_an': 72}
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id: 69606282
{'hecke_orbit_code': 153122387364159231, 'n': 809, 'trace_an': -2}
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id: 69606283
{'hecke_orbit_code': 153122387364159231, 'n': 811, 'trace_an': 148}
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id: 69606284
{'hecke_orbit_code': 153122387364159231, 'n': 821, 'trace_an': 30}
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id: 69606285
{'hecke_orbit_code': 153122387364159231, 'n': 823, 'trace_an': -28}
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id: 69606286
{'hecke_orbit_code': 153122387364159231, 'n': 827, 'trace_an': 128}
-
id: 69606287
{'hecke_orbit_code': 153122387364159231, 'n': 829, 'trace_an': -30}
-
id: 69606288
{'hecke_orbit_code': 153122387364159231, 'n': 839, 'trace_an': 128}
-
id: 69606289
{'hecke_orbit_code': 153122387364159231, 'n': 841, 'trace_an': 8}
-
id: 69606290
{'hecke_orbit_code': 153122387364159231, 'n': 853, 'trace_an': -26}
-
id: 69606291
{'hecke_orbit_code': 153122387364159231, 'n': 857, 'trace_an': 14}
-
id: 69606292
{'hecke_orbit_code': 153122387364159231, 'n': 859, 'trace_an': 6}
-
id: 69606293
{'hecke_orbit_code': 153122387364159231, 'n': 863, 'trace_an': -38}
-
id: 69606294
{'hecke_orbit_code': 153122387364159231, 'n': 877, 'trace_an': -94}
-
id: 69606295
{'hecke_orbit_code': 153122387364159231, 'n': 881, 'trace_an': -36}
-
id: 69606296
{'hecke_orbit_code': 153122387364159231, 'n': 883, 'trace_an': -12}
-
id: 69606297
{'hecke_orbit_code': 153122387364159231, 'n': 887, 'trace_an': -82}
-
id: 69606298
{'hecke_orbit_code': 153122387364159231, 'n': 907, 'trace_an': 116}
-
id: 69606299
{'hecke_orbit_code': 153122387364159231, 'n': 911, 'trace_an': -74}
-
id: 69606300
{'hecke_orbit_code': 153122387364159231, 'n': 919, 'trace_an': 36}
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id: 69606301
{'hecke_orbit_code': 153122387364159231, 'n': 929, 'trace_an': -50}
-
id: 69606302
{'hecke_orbit_code': 153122387364159231, 'n': 937, 'trace_an': -82}
-
id: 69606303
{'hecke_orbit_code': 153122387364159231, 'n': 941, 'trace_an': -80}
-
id: 69606304
{'hecke_orbit_code': 153122387364159231, 'n': 947, 'trace_an': 30}
-
id: 69606305
{'hecke_orbit_code': 153122387364159231, 'n': 953, 'trace_an': 118}
-
id: 69606306
{'hecke_orbit_code': 153122387364159231, 'n': 961, 'trace_an': -26}
-
id: 69606307
{'hecke_orbit_code': 153122387364159231, 'n': 967, 'trace_an': -34}
-
id: 69606308
{'hecke_orbit_code': 153122387364159231, 'n': 971, 'trace_an': -36}
-
id: 69606309
{'hecke_orbit_code': 153122387364159231, 'n': 977, 'trace_an': 48}
-
id: 69606310
{'hecke_orbit_code': 153122387364159231, 'n': 983, 'trace_an': -20}
-
id: 69606311
{'hecke_orbit_code': 153122387364159231, 'n': 991, 'trace_an': -68}
-
id: 69606312
{'hecke_orbit_code': 153122387364159231, 'n': 997, 'trace_an': 24}