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mf_newforms • Show schema
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{'Nk2': 460, 'analytic_conductor': 0.9182796232447245, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 23, 'char_degree': 10, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 11, 'char_parity': 1, 'char_values': [115, 11, [47, 51], [11, 9]], 'cm_discs': [], 'conrey_index': 6, 'conrey_indexes': [6, 16, 26, 31, 36, 41, 71, 81, 96, 101], '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': [[2, [1, 2, 125, -157, 38, 21, -2, -15, 14, -5, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 412350414963, '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, 23, 3, 1, 11, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '115.2.g.a', 'level': 115, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 23], 'level_radical': 115, 'minimal_twist': '115.2.g.a', 'nf_label': '10.0.2357947691.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\zeta_{22}+\\zeta_{22}^{3}-\\zeta_{22}^{4}+\\zeta_{22}^{5}+\\zeta_{22}^{7}+\\cdots)q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c11', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '115.2.g', 'trace_display': [5, 1, 1, 5], 'trace_hash': 2288541149957539619, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.350', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.180', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 460, 'analytic_conductor': 0.9182796232447245, 'char_conductor': 23, 'char_degree': 10, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 11, 'char_parity': 1, 'char_values': [115, 11, [47, 51], [11, 9]], 'conrey_index': 6, 'cusp_dim': 100, 'dim': 80, 'eis_dim': 40, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350414963, 'hecke_orbit_dims': [10, 20, 50], 'label': '115.2.g', 'level': 115, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [5, 23], 'level_radical': 115, 'mf_dim': 140, 'mf_new_dim': 80, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 24, 'trace_bound': 1, 'trace_display': [-4, 0, -2, -4], 'traces': [80, -4, 0, -16, -2, -14, -4, -18, -12, -6, -16, -6, -4, -12, -4, -4, 6, -42, 6, -6, 22, 16, -18, 96, -8, -10, 30, -48, -24, -8, -8, -16, -48, -22, 16, 8, -40, 22, -20, 58, -6, -104, 56, -30, 40, 104, -64, 86, 8, 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mf_twists_cc • Show schema
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id: 3852935
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 81, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414963, 'target_is_minimal': True, 'target_label': '115.2.g.a.81.1', 'target_level': 115, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 3852936
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 449, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1030825706047, 'target_is_minimal': False, 'target_label': '575.2.p.a.449.1', 'target_level': 575, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3852937
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 449, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030825706047, 'target_is_minimal': False, 'target_label': '575.2.p.a.449.2', 'target_level': 575, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 3852938
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 426, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322367, 'target_is_minimal': False, 'target_label': '575.2.k.a.426.1', 'target_level': 575, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 3852939
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 71, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 412350414963, 'target_is_minimal': True, 'target_label': '115.2.g.a.71.1', 'target_level': 115, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '23.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3852940
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 63050394816744021, 'target_is_minimal': False, 'target_label': '2645.2.a.o.1.2', 'target_level': 2645, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '23.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 3852941
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 58546795189373525, 'target_is_minimal': False, 'target_label': '2645.2.a.n.1.2', 'target_level': 2645, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '23.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 3852942
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 324, 'target_dim': 20, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1030825706047, 'target_is_minimal': False, 'target_label': '575.2.p.a.324.2', 'target_level': 575, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '115.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 3852943
{'conductor': 115, 'degree': 20, 'order': 44, 'parity': -1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 324, 'target_dim': 20, 'target_embedding_index': 1, 'target_hecke_orbit_code': 1030825706047, 'target_is_minimal': False, 'target_label': '575.2.p.a.324.1', 'target_level': 575, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '115.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 3852944
{'conductor': 115, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 81, 'source_dim': 10, 'source_embedding_index': 1, 'source_hecke_orbit_code': 412350414963, 'source_is_minimal': True, 'source_label': '115.2.g.a.81.1', 'source_level': 115, 'target_conrey_index': 301, 'target_dim': 10, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322367, 'target_is_minimal': False, 'target_label': '575.2.k.a.301.1', 'target_level': 575, 'twist_class_label': '115.2.g.a.71.1', 'twist_class_level': 115, 'twisting_char_label': '115.94', 'twisting_conrey_index': 94, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 330100
{'charpoly_factorization': [[[1, 2, 125, -157, 38, 21, -2, -15, 14, -5, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 2}
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id: 330101
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 3}
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id: 330102
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1, -1, 1, -1, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 5}
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id: 330103
{'charpoly_factorization': [[[1, 2, 125, -157, 38, 21, -2, -15, 14, -5, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 7}
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id: 330104
{'charpoly_factorization': [[[7921, -4539, 2447, 482, -602, 353, -7, -50, 31, -8, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 11}
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id: 330105
{'charpoly_factorization': [[[121, 363, 484, 363, 121, -22, 0, 11, 11, 0, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 13}
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id: 330106
{'charpoly_factorization': [[[466489, 751983, 642951, 365487, 150844, 46938, 11166, 2014, 265, 23, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 17}
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id: 330107
{'charpoly_factorization': [[[11881, 20928, 17867, 8037, 4068, 890, 665, 85, 48, 13, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 19}
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id: 330108
{'charpoly_factorization': [[[6436343, 5876661, 2956581, 1011977, 270733, 60543, 11771, 1913, 243, 21, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 23}
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id: 330109
{'charpoly_factorization': [[[127893481, 13491637, -1971142, 348308, 41578, 4599, 4185, -338, 70, -2, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 29}
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id: 330110
{'charpoly_factorization': [[[7921, 445, 8616, -6068, 3815, -3112, 27, 344, 158, 20, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 31}
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id: 330111
{'charpoly_factorization': [[[11485321, -26898493, 22157281, 401273, 265219, 99221, -3185, 245, 169, -13, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 37}
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id: 330112
{'charpoly_factorization': [[[193293409, 46825304, 4364782, 1304768, 382255, 37676, 4684, 1082, 91, 5, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 41}
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id: 330113
{'charpoly_factorization': [[[4280761, -2031758, 115828, -380000, 347593, -113312, 23642, -2946, 247, -15, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 43}
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id: 330114
{'charpoly_factorization': [[[-9811, -4754, -82, 189, 26, 1], 2]], 'hecke_orbit_code': 412350414963, 'p': 47}
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id: 330115
{'charpoly_factorization': [[[1408969, 8541652, 18111768, -1311582, 118398, 114522, 2693, 609, 179, -6, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 53}
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id: 330116
{'charpoly_factorization': [[[437688241, 275424965, 40431593, -1827862, 295674, -2080, 14672, -587, 201, -5, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 59}
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id: 330117
{'charpoly_factorization': [[[436921, -564494, 157327, 161258, 71481, 15951, 1126, 192, 75, 3, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 61}
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id: 330118
{'charpoly_factorization': [[[25593481, -25628894, 17666322, -8328841, 2427808, -430156, 47745, -3765, 290, -20, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 67}
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id: 330119
{'charpoly_factorization': [[[1437601, 1411223, 931216, 486783, 275759, 113036, 27962, 3333, 275, 22, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 71}
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id: 330120
{'charpoly_factorization': [[[78623689, -19400996, 14577157, -8353971, 2921326, -648020, 99727, -11087, 870, -43, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 73}
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id: 330121
{'charpoly_factorization': [[[246772681, -230812337, 113149199, -35175355, 7864278, -1264064, 167896, -17008, 1193, -51, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 79}
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id: 330122
{'charpoly_factorization': [[[10029889, -494052, 2128361, -1225689, 379692, -44078, 3485, 29, 36, 17, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 83}
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id: 330123
{'charpoly_factorization': [[[43256929, -81350913, 144725243, -71841315, 18714199, -3006321, 336506, -26969, 1544, -57, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 89}
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id: 330124
{'charpoly_factorization': [[[62047129, -33760822, 36209530, -21752381, 7342415, -1552902, 217122, -20565, 1318, -52, 1], 1]], 'hecke_orbit_code': 412350414963, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 1, 'label': '115.2.g.a', 'level': 115, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 33896000
{'hecke_orbit_code': 412350414963, 'n': 1, 'trace_an': 10}
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id: 33896001
{'hecke_orbit_code': 412350414963, 'n': 2, 'trace_an': 5}
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id: 33896002
{'hecke_orbit_code': 412350414963, 'n': 3, 'trace_an': 1}
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id: 33896003
{'hecke_orbit_code': 412350414963, 'n': 4, 'trace_an': -1}
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id: 33896004
{'hecke_orbit_code': 412350414963, 'n': 5, 'trace_an': 1}
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id: 33896005
{'hecke_orbit_code': 412350414963, 'n': 6, 'trace_an': 6}
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id: 33896006
{'hecke_orbit_code': 412350414963, 'n': 7, 'trace_an': 5}
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id: 33896007
{'hecke_orbit_code': 412350414963, 'n': 8, 'trace_an': -16}
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id: 33896008
{'hecke_orbit_code': 412350414963, 'n': 9, 'trace_an': 2}
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id: 33896009
{'hecke_orbit_code': 412350414963, 'n': 10, 'trace_an': -5}
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id: 33896010
{'hecke_orbit_code': 412350414963, 'n': 11, 'trace_an': 8}
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id: 33896011
{'hecke_orbit_code': 412350414963, 'n': 12, 'trace_an': 1}
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id: 33896012
{'hecke_orbit_code': 412350414963, 'n': 13, 'trace_an': 0}
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id: 33896013
{'hecke_orbit_code': 412350414963, 'n': 14, 'trace_an': -3}
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id: 33896014
{'hecke_orbit_code': 412350414963, 'n': 15, 'trace_an': -1}
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id: 33896015
{'hecke_orbit_code': 412350414963, 'n': 16, 'trace_an': 5}
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id: 33896016
{'hecke_orbit_code': 412350414963, 'n': 17, 'trace_an': -23}
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id: 33896017
{'hecke_orbit_code': 412350414963, 'n': 18, 'trace_an': -10}
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id: 33896018
{'hecke_orbit_code': 412350414963, 'n': 19, 'trace_an': -13}
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id: 33896019
{'hecke_orbit_code': 412350414963, 'n': 20, 'trace_an': 1}
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id: 33896020
{'hecke_orbit_code': 412350414963, 'n': 21, 'trace_an': 6}
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id: 33896021
{'hecke_orbit_code': 412350414963, 'n': 22, 'trace_an': 4}
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id: 33896022
{'hecke_orbit_code': 412350414963, 'n': 23, 'trace_an': -21}
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id: 33896023
{'hecke_orbit_code': 412350414963, 'n': 24, 'trace_an': -6}
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id: 33896024
{'hecke_orbit_code': 412350414963, 'n': 25, 'trace_an': -1}
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id: 33896025
{'hecke_orbit_code': 412350414963, 'n': 26, 'trace_an': 11}
-
id: 33896026
{'hecke_orbit_code': 412350414963, 'n': 27, 'trace_an': -5}
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id: 33896027
{'hecke_orbit_code': 412350414963, 'n': 28, 'trace_an': -6}
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id: 33896028
{'hecke_orbit_code': 412350414963, 'n': 29, 'trace_an': 2}
-
id: 33896029
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