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{'Nk2': 31740, 'analytic_conductor': 63.36129400388599, 'analytic_rank': 1, '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': 15, 'field_disc': 65514022249962305908801, 'field_disc_factorization': [[11, 12], [659, 1], [31676459, 1]], 'field_poly': [11, -143, -11, 803, 0, -1583, 0, 1466, 0, -696, 0, 172, 0, -21, 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, [11, -143, -11, 803, 0, -1583, 0, 1466, 0, -696, 0, 172, 0, -21, 0, 1]], [7, [-529, -63572, 36208, 127116, -69657, -89846, 48602, 28937, -14842, -5140, 2246, 553, -168, -35, 5, 1]], [11, [1979, -14819, -5651, 145371, -94321, -189007, 242632, -62917, -35561, 21583, -867, -1714, 339, 26, -13, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755752703, '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': False, 'label': '7935.2.a.bp', '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': '345.2.m.a', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}-q^{3}+(\\beta _{2}-\\beta _{5}-\\beta _{6}-\\beta _{8}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7935.2.a', 'trace_display': [0, -15, -15, -5], 'trace_hash': 793702732176397923, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.316', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '422.334', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '21606.934', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.003', 'prec': 17}, 'traces': [15, 0, -15, 12, -15, 0, -5, 0, 15, 0, 13, -12, -24, 15, 15, 2, 2, 0, 13, -12, 5, -9, 0, 0, 15, -9, -15, 1, -3, 0, -22, 0, -13, 1, 5, 12, -6, -17, 24, 0, -20, -15, -4, -18, -15, 0, 7, -2, -10, 0, -2, -55, 4, 0, -13, 25, -13, 2, 9, 12, 13, -7, -5, -26, 24, 9, -32, 27, 0, -15, 14, 0, -43, -11, -15, 88, -21, 9, 33, -2, 15, -35, -12, -1, -2, 77, 3, -37, 29, 0, 20, 0, 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-0.17611104779139444, -0.2375537218419093, -0.23803795300592792, -0.12656145963112217, -0.1920241380816489, -0.42449781786705093, -0.3959754437584068, -0.23521256384547268, -0.23645049153218248, -0.30162206450451723, -0.2597256407223991, -0.3032239939321984, -0.3028252863219619], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 7, 'dual_embedding_m': 7, 'embedding_index': 7, 'embedding_m': 7, 'embedding_root_imag': 0.0, 'embedding_root_real': -0.710735715456905, 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755752703, 'label': '7935.2.a.bp.1.7', '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: 48955126
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 7, 'source_hecke_orbit_code': 184647584755752703, 'source_is_minimal': False, 'source_label': '7935.2.a.bp.1.7', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 7, 'target_hecke_orbit_code': 184647584755752703, 'target_is_minimal': False, 'target_label': '7935.2.a.bp.1.7', 'target_level': 7935, 'twist_class_label': '345.2.m.a.31.3', 'twist_class_level': 345, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48955127
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 7, 'source_hecke_orbit_code': 184647584755752703, 'source_is_minimal': False, 'source_label': '7935.2.a.bp.1.7', 'source_level': 7935, 'target_conrey_index': 31, 'target_dim': 30, 'target_embedding_index': 3, 'target_hecke_orbit_code': 824667275609, 'target_is_minimal': True, 'target_label': '345.2.m.a.31.3', 'target_level': 345, 'twist_class_label': '345.2.m.a.31.3', 'twist_class_level': 345, 'twisting_char_label': '23.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48955128
{'conductor': 23, 'degree': 10, 'order': 11, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 7, 'source_hecke_orbit_code': 184647584755752703, 'source_is_minimal': False, 'source_label': '7935.2.a.bp.1.7', 'source_level': 7935, 'target_conrey_index': 256, 'target_dim': 30, 'target_embedding_index': 3, 'target_hecke_orbit_code': 824667275609, 'target_is_minimal': True, 'target_label': '345.2.m.a.256.3', 'target_level': 345, 'twist_class_label': '345.2.m.a.31.3', 'twist_class_level': 345, 'twisting_char_label': '23.16', 'twisting_conrey_index': 16, 'weight': 2}
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id: 48955129
{'conductor': 23, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 7, 'source_hecke_orbit_code': 184647584755752703, 'source_is_minimal': False, 'source_label': '7935.2.a.bp.1.7', 'source_level': 7935, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 7, 'target_hecke_orbit_code': 189151184383123199, 'target_is_minimal': False, 'target_label': '7935.2.a.bq.1.7', 'target_level': 7935, 'twist_class_label': '345.2.m.a.31.3', 'twist_class_level': 345, '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: 4613000
{'charpoly_factorization': [[[11, -143, -11, 803, 0, -1583, 0, 1466, 0, -696, 0, 172, 0, -21, 0, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 2}
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id: 4613001
{'charpoly_factorization': [[[1, 1], 15]], 'hecke_orbit_code': 184647584755752703, 'p': 3}
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id: 4613002
{'charpoly_factorization': [[[1, 1], 15]], 'hecke_orbit_code': 184647584755752703, 'p': 5}
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id: 4613003
{'charpoly_factorization': [[[-529, -63572, 36208, 127116, -69657, -89846, 48602, 28937, -14842, -5140, 2246, 553, -168, -35, 5, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 7}
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id: 4613004
{'charpoly_factorization': [[[1979, -14819, -5651, 145371, -94321, -189007, 242632, -62917, -35561, 21583, -867, -1714, 339, 26, -13, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 11}
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id: 4613005
{'charpoly_factorization': [[[-2189, 24739, -86317, 55506, 203258, -217218, -163087, 108621, 78453, -7386, -13337, -2054, 520, 203, 24, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 13}
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id: 4613006
{'charpoly_factorization': [[[13003, -108107, -12101, 711616, -421597, -709434, 158454, 244140, -10521, -34981, -739, 2399, 87, -79, -2, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 17}
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id: 4613007
{'charpoly_factorization': [[[79607, 1255540, 516725, -4811048, -143946, 3067382, -279210, -727803, 131970, 69433, -18489, -1929, 873, -20, -13, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 19}
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id: 4613008
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 184647584755752703, 'p': 23}
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id: 4613009
{'charpoly_factorization': [[[552661, 8456179, 5379633, -9139878, -6801358, 2624063, 2647714, -65158, -386032, -41221, 23058, 4009, -507, -116, 3, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 29}
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id: 4613010
{'charpoly_factorization': [[[234131371, 828861448, -214478432, -818388839, 146668562, 209247498, -13773371, -23802113, -1061681, 1109314, 131160, -16149, -3167, -5, 22, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 31}
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id: 4613011
{'charpoly_factorization': [[[1199243, 13755208, -78790894, -68743603, 24056774, 35450381, 5652599, -3657857, -1250016, 51026, 65372, 4788, -1136, -139, 6, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 37}
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id: 4613012
{'charpoly_factorization': [[[835582177, -114617280, -834209210, -103693788, 274998236, 90686248, -20840491, -12359047, -215343, 610513, 68176, -10903, -2142, 10, 20, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 41}
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id: 4613013
{'charpoly_factorization': [[[28295719, 18166154, -187447257, 60282949, 114445782, -52339979, -15297951, 8789224, 607516, -563404, -837, 16276, -324, -212, 4, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 43}
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id: 4613014
{'charpoly_factorization': [[[-1536259429, 781773135, 1433307593, -1076130758, -106229010, 252193878, -42168929, -15528616, 4958508, 121960, -172663, 10478, 2148, -218, -7, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 47}
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id: 4613015
{'charpoly_factorization': [[[3355744919, -37126031915, -20871270092, 9029612307, 5083519931, -995914205, -470742172, 69394878, 19722944, -2868184, -339267, 53505, 2128, -397, -4, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 53}
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id: 4613016
{'charpoly_factorization': [[[393816853, -57289553184, 105685419497, -65597621322, 10723080133, 4051848157, -1480310662, -9894118, 49376903, -2859256, -681516, 57302, 4141, -411, -9, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 59}
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id: 4613017
{'charpoly_factorization': [[[-54452259443, -108366943763, -12566844445, 35420561201, 7362545642, -2883552045, -616048965, 114341610, 22088244, -2645913, -401185, 37133, 3632, -294, -13, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 61}
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id: 4613018
{'charpoly_factorization': [[[250050916103, 5731406006276, 659866029053, -909945679624, -91432031234, 51063289546, 5187812525, -1286101099, -146734945, 14562741, 2058124, -54478, -13360, -142, 32, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 67}
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id: 4613019
{'charpoly_factorization': [[[-73909198837, 337600540587, 557395544182, -504807689483, 73611828932, 24379234253, -6462447972, -178522852, 151640042, -4591363, -1565097, 83634, 7558, -492, -14, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 71}
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id: 4613020
{'charpoly_factorization': [[[420345253151, 576349476603, -315765935649, -314192132608, 103290023106, 32835049962, -6307097073, -1692804827, 82282498, 37225970, 1286324, -224871, -16615, 168, 43, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 73}
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id: 4613021
{'charpoly_factorization': [[[-494402124919, -2523012754383, 2745411980993, -410039518272, -252738815670, 68996766212, 3999601921, -2539836750, 103255295, 32089802, -2863751, -99308, 17845, -220, -33, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 79}
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id: 4613022
{'charpoly_factorization': [[[-302656025783, -365331078462, 222089824325, 158293035799, -52934801249, -19882655740, 4676914655, 782512885, -135241103, -15091922, 1601813, 149235, -7526, -651, 12, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 83}
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id: 4613023
{'charpoly_factorization': [[[870101506889, -3411273003506, -2057339155232, 431499393752, 255508533587, -7834006417, -9806492323, -14664000, 186548815, 727598, -1989960, 10828, 11593, -227, -29, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 89}
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id: 4613024
{'charpoly_factorization': [[[-21016263293651, 70758978690437, -22475492865097, -5240244208914, 2282602034787, 40701702100, -62839920929, 1516283415, 779722762, -31324968, -4897796, 235797, 15101, -796, -18, 1], 1]], 'hecke_orbit_code': 184647584755752703, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '7935.2.a.bp', 'level': 7935, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70749511
{'hecke_orbit_code': 184647584755752703, 'n': 1, 'trace_an': 15}
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id: 70749512
{'hecke_orbit_code': 184647584755752703, 'n': 2, 'trace_an': 0}
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id: 70749513
{'hecke_orbit_code': 184647584755752703, 'n': 3, 'trace_an': -15}
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id: 70749514
{'hecke_orbit_code': 184647584755752703, 'n': 4, 'trace_an': 12}
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id: 70749515
{'hecke_orbit_code': 184647584755752703, 'n': 5, 'trace_an': -15}
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id: 70749516
{'hecke_orbit_code': 184647584755752703, 'n': 6, 'trace_an': 0}
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id: 70749517
{'hecke_orbit_code': 184647584755752703, 'n': 7, 'trace_an': -5}
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id: 70749518
{'hecke_orbit_code': 184647584755752703, 'n': 8, 'trace_an': 0}
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id: 70749519
{'hecke_orbit_code': 184647584755752703, 'n': 9, 'trace_an': 15}
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id: 70749520
{'hecke_orbit_code': 184647584755752703, 'n': 10, 'trace_an': 0}
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id: 70749521
{'hecke_orbit_code': 184647584755752703, 'n': 11, 'trace_an': 13}
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id: 70749522
{'hecke_orbit_code': 184647584755752703, 'n': 12, 'trace_an': -12}
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id: 70749523
{'hecke_orbit_code': 184647584755752703, 'n': 13, 'trace_an': -24}
-
id: 70749524
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id: 70749768
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