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{'Nk2': 19044, 'analytic_conductor': 38.016776402331594, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[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': [4761, 1, [2117, 1063], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 20, 'field_disc': 18924460936139791874314344465433624576, 'field_disc_factorization': [[2, 20], [11, 16], [23, 2], [353, 2], [2441, 2]], 'field_poly': [529, 0, -5244, 0, 19703, 0, -37458, 0, 40383, 0, -26158, 0, 10441, 0, -2566, 0, 376, 0, -30, 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': 1, 'hecke_cutters': [[2, [529, 0, -5244, 0, 19703, 0, -37458, 0, 40383, 0, -26158, 0, 10441, 0, -2566, 0, 376, 0, -30, 0, 1]], [5, [279841, 0, -2419784, 0, 5236490, 0, -5148186, 0, 2757905, 0, -874511, 0, 170719, 0, -20660, 0, 1504, 0, -60, 0, 1]], [7, [-23, -628, -851, 837, 875, -500, -239, 135, 5, -9, 1]]], 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774713497, 'hecke_ring_generator_nbound': 7, '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, 3, 2, -1, 2, 0]], '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': '4761.2.a.bx', 'level': 4761, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 23], 'level_radical': 69, 'minimal_twist': '207.2.i.e', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+(1+\\beta _{2}-\\beta _{3})q^{4}-\\beta _{19}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 20, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4761.2.a', 'trace_display': [0, 0, 0, 18], 'trace_hash': 1256577776870294629, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.341', 'prec': 17}, {'__RealLiteral__': 0, 'data': '15.714', 'prec': 20}, {'__RealLiteral__': 0, 'data': '32.680', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1463.436', 'prec': 27}, {'__RealLiteral__': 0, 'data': '6641.800', 'prec': 27}, {'__RealLiteral__': 0, 'data': '221289.462', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.510', 'prec': 17}, 'traces': [20, 0, 0, 20, 0, 0, 18, 0, 0, 22, 0, 0, 0, 0, 0, 16, 0, 0, 40, 0, 0, 14, 0, 0, 20, 0, 0, 32, 0, 0, -22, 0, 0, 60, 0, 0, 18, 0, 0, 74, 0, 0, 32, 0, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, -52, 0, 0, -24, 0, 0, 70, 0, 0, 36, 0, 0, 64, 0, 0, 48, 0, 0, 40, 0, 0, 82, 0, 0, 106, 0, 0, -36, 0, 0, 2, 0, 0, 58, 0, 0, 88, 0, 0, 40, 0, 0, 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0.0, 'embedding_root_real': -1.3116815424288475, 'hecke_orbit': 50, 'hecke_orbit_code': 220676381774713497, 'label': '4761.2.a.bx.1.6', 'level': 4761, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [36, 48, 61, 55], 'Nk2': 19044, 'analytic_conductor': 38.016776402331594, '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': [4761, 1, [2117, 1063], [1, 1]], 'conrey_index': 1, 'cusp_dim': 505, 'dim': 200, 'eis_dim': 95, 'eis_new_dim': 21, 'hecke_cutter_primes': [2, 5, 7], 'hecke_orbit_code': 33559193, 'hecke_orbit_dims': [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, 3, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 5, 5, 6, 10, 10, 12, 20, 20], 'label': '4761.2.a', 'level': 4761, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 23], 'level_radical': 69, 'mf_dim': 600, 'mf_new_dim': 221, 'num_forms': 50, 'plus_dim': 91, 'prim_orbit_index': 1, 'relative_dim': 200, 'sturm_bound': 1104, 'trace_bound': 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0, 0, -30, 382, 0, -328, 88, 0, 138, -456, 0, -8], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 49033949
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 220676381774713497, 'target_is_minimal': False, 'target_label': '4761.2.a.bx.1.6', 'target_level': 4761, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 49033950
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 15, 'target_hecke_orbit_code': 220676381774713497, 'target_is_minimal': False, 'target_label': '4761.2.a.bx.1.15', 'target_level': 4761, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 49033951
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 82, 'target_dim': 40, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014948298850511, 'target_is_minimal': True, 'target_label': '207.2.i.e.82.3', 'target_level': 207, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '23.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 49033952
{'conductor': 23, 'degree': 10, 'order': 22, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 154, 'target_dim': 40, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18014948298850511, 'target_is_minimal': True, 'target_label': '207.2.i.e.154.3', 'target_level': 207, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '23.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 49033953
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 6, 'target_hecke_orbit_code': 216172782147343001, 'target_is_minimal': False, 'target_label': '4761.2.a.bw.1.6', 'target_level': 4761, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '23.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 49033954
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 82, 'target_dim': 40, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014948298850511, 'target_is_minimal': True, 'target_label': '207.2.i.e.82.2', 'target_level': 207, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '69.17', 'twisting_conrey_index': 17, 'weight': 2}
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id: 49033955
{'conductor': 69, 'degree': 10, 'order': 22, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 154, 'target_dim': 40, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014948298850511, 'target_is_minimal': True, 'target_label': '207.2.i.e.154.2', 'target_level': 207, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '69.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 49033956
{'conductor': 69, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 20, 'source_embedding_index': 6, 'source_hecke_orbit_code': 220676381774713497, 'source_is_minimal': False, 'source_label': '4761.2.a.bx.1.6', 'source_level': 4761, 'target_conrey_index': 1, 'target_dim': 20, 'target_embedding_index': 15, 'target_hecke_orbit_code': 216172782147343001, 'target_is_minimal': False, 'target_label': '4761.2.a.bw.1.15', 'target_level': 4761, 'twist_class_label': '207.2.i.e.82.2', 'twist_class_level': 207, 'twisting_char_label': '69.68', 'twisting_conrey_index': 68, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3699300
{'charpoly_factorization': [[[529, 0, -5244, 0, 19703, 0, -37458, 0, 40383, 0, -26158, 0, 10441, 0, -2566, 0, 376, 0, -30, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 2}
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id: 3699301
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 220676381774713497, 'p': 3}
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id: 3699302
{'charpoly_factorization': [[[279841, 0, -2419784, 0, 5236490, 0, -5148186, 0, 2757905, 0, -874511, 0, 170719, 0, -20660, 0, 1504, 0, -60, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 5}
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id: 3699303
{'charpoly_factorization': [[[-23, -628, -851, 837, 875, -500, -239, 135, 5, -9, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 7}
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id: 3699304
{'charpoly_factorization': [[[2216620561, 0, -5359877197, 0, 4299003692, 0, -1702576445, 0, 383399019, 0, -52328585, 0, 4456907, 0, -237209, 0, 7632, 0, -135, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 11}
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id: 3699305
{'charpoly_factorization': [[[-48037, -22022, 59774, 17908, -17061, -2596, 1947, 66, -77, 0, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 13}
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id: 3699306
{'charpoly_factorization': [[[279591841, 0, -3403976747, 0, 5948043138, 0, -2785844889, 0, 628643500, 0, -81291302, 0, 6429116, 0, -314922, 0, 9266, 0, -149, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 17}
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id: 3699307
{'charpoly_factorization': [[[7303, 28641, -26773, -41803, 28667, 2550, -3513, 315, 101, -20, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 19}
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id: 3699308
{'charpoly_factorization': [[[0, 1], 20]], 'hecke_orbit_code': 220676381774713497, 'p': 23}
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id: 3699309
{'charpoly_factorization': [[[40770474889, 0, -85568191289, 0, 64305262223, 0, -23834021071, 0, 4872006848, 0, -570980873, 0, 38355227, 0, -1430158, 0, 28009, 0, -269, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 29}
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id: 3699310
{'charpoly_factorization': [[[99023, 126676, -37113, -62348, 4847, 9295, 19, -550, -30, 11, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 31}
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id: 3699311
{'charpoly_factorization': [[[-999373, -1660356, -89315, 713598, 70351, -86495, 5669, 1748, -168, -9, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 37}
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id: 3699312
{'charpoly_factorization': [[[197362066170721, 0, -178841585387262, 0, 50820112637335, 0, -6779924601690, 0, 492788668118, 0, -21148269626, 0, 556519927, 0, -9018758, 0, 87181, 0, -458, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 41}
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id: 3699313
{'charpoly_factorization': [[[2837, -961, -37079, 29390, 48913, -11907, -4036, 1181, -10, -16, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 43}
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id: 3699314
{'charpoly_factorization': [[[11891552218569, 0, -92510739034839, 0, 60896031814467, 0, -12649182541992, 0, 1165860709281, 0, -55206613909, 0, 1420730688, 0, -20134593, 0, 156539, 0, -625, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 47}
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id: 3699315
{'charpoly_factorization': [[[1122874593881041, 0, -625785831336889, 0, 134312547300867, 0, -14799328597041, 0, 935258133951, 0, -35906912928, 0, 856974497, 0, -12627529, 0, 110291, 0, -518, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 53}
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id: 3699316
{'charpoly_factorization': [[[35035802467317961, 0, -11103378497071255, 0, 1427305724296644, 0, -98353234769942, 0, 4081501003585, 0, -107944539949, 0, 1861294763, 0, -20832340, 0, 145839, 0, -580, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 59}
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id: 3699317
{'charpoly_factorization': [[[7364807, 8512850, -1898518, -2713475, 581708, 92017, -29707, 760, 349, -35, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 61}
-
id: 3699318
{'charpoly_factorization': [[[-95667331, 105147703, -19882634, -6609346, 2179570, -196, -53457, 4569, 156, -32, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 67}
-
id: 3699319
{'charpoly_factorization': [[[3324790921, 0, -2763491365335297, 0, 934493572182293, 0, -99264637237026, 0, 5222862153027, 0, -157920300307, 0, 2897562934, 0, -32397043, 0, 211939, 0, -729, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 71}
-
id: 3699320
{'charpoly_factorization': [[[-2496451, -1549243, 3706858, 2781798, 19053, -178499, -1445, 3780, -119, -20, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 73}
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id: 3699321
{'charpoly_factorization': [[[578821, -254830, -3196916, 4513931, -1798727, 216682, 25710, -9818, 1076, -53, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 79}
-
id: 3699322
{'charpoly_factorization': [[[21265410975262609, 0, -21897460772066540, 0, 4243802122023848, 0, -355856756253543, 0, 15891606151493, 0, -410074774142, 0, 6306903358, 0, -57850316, 0, 307336, 0, -867, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 83}
-
id: 3699323
{'charpoly_factorization': [[[15375969496015129, 0, -14642220344247044, 0, 4868568047507064, 0, -660384112697171, 0, 33732656547244, 0, -853368036323, 0, 11979279925, 0, -96659842, 0, 440777, 0, -1047, 0, 1], 1]], 'hecke_orbit_code': 220676381774713497, 'p': 89}
-
id: 3699324
{'charpoly_factorization': [[[-100202651, -78042933, 10522062, 9122398, -795783, -329231, 30471, 3596, -329, -12, 1], 2]], 'hecke_orbit_code': 220676381774713497, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 50, 'label': '4761.2.a.bx', 'level': 4761, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71504935
{'hecke_orbit_code': 220676381774713497, 'n': 1, 'trace_an': 20}
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id: 71504936
{'hecke_orbit_code': 220676381774713497, 'n': 2, 'trace_an': 0}
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id: 71504937
{'hecke_orbit_code': 220676381774713497, 'n': 3, 'trace_an': 0}
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id: 71504938
{'hecke_orbit_code': 220676381774713497, 'n': 4, 'trace_an': 20}
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id: 71504939
{'hecke_orbit_code': 220676381774713497, 'n': 5, 'trace_an': 0}
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id: 71504940
{'hecke_orbit_code': 220676381774713497, 'n': 6, 'trace_an': 0}
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id: 71504941
{'hecke_orbit_code': 220676381774713497, 'n': 7, 'trace_an': 18}
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id: 71504942
{'hecke_orbit_code': 220676381774713497, 'n': 8, 'trace_an': 0}
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id: 71504943
{'hecke_orbit_code': 220676381774713497, 'n': 9, 'trace_an': 0}
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id: 71504944
{'hecke_orbit_code': 220676381774713497, 'n': 10, 'trace_an': 22}
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id: 71504945
{'hecke_orbit_code': 220676381774713497, 'n': 11, 'trace_an': 0}
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id: 71504946
{'hecke_orbit_code': 220676381774713497, 'n': 12, 'trace_an': 0}
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id: 71504947
{'hecke_orbit_code': 220676381774713497, 'n': 13, 'trace_an': 0}
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id: 71504948
{'hecke_orbit_code': 220676381774713497, 'n': 14, 'trace_an': 0}
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id: 71504949
{'hecke_orbit_code': 220676381774713497, 'n': 15, 'trace_an': 0}
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id: 71504950
{'hecke_orbit_code': 220676381774713497, 'n': 16, 'trace_an': 16}
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id: 71504951
{'hecke_orbit_code': 220676381774713497, 'n': 17, 'trace_an': 0}
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id: 71504952
{'hecke_orbit_code': 220676381774713497, 'n': 18, 'trace_an': 0}
-
id: 71504953
{'hecke_orbit_code': 220676381774713497, 'n': 19, 'trace_an': 40}
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id: 71504954
{'hecke_orbit_code': 220676381774713497, 'n': 20, 'trace_an': 0}
-
id: 71504955
{'hecke_orbit_code': 220676381774713497, 'n': 21, 'trace_an': 0}
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id: 71504956
{'hecke_orbit_code': 220676381774713497, 'n': 22, 'trace_an': 14}
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id: 71504957
{'hecke_orbit_code': 220676381774713497, 'n': 23, 'trace_an': 0}
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id: 71504958
{'hecke_orbit_code': 220676381774713497, 'n': 24, 'trace_an': 0}
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id: 71504959
{'hecke_orbit_code': 220676381774713497, 'n': 25, 'trace_an': 20}
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id: 71504960
{'hecke_orbit_code': 220676381774713497, 'n': 26, 'trace_an': 0}
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id: 71504961
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