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mf_newforms • Show schema
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{'Nk2': 1368, 'analytic_conductor': 2.730883749127789, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 171, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [342, 3, [191, 325], [2, 1]], 'cm_discs': [], 'conrey_index': 7, 'dim': 18, 'field_disc': -29261476507958944084639003392, 'field_disc_factorization': [[-1, 1], [2, 8], [3, 15], [2822401051, 2]], 'field_poly': [19683, 0, 8748, -4374, 243, -1701, -324, 0, 27, 135, 9, 0, -12, -21, 1, -6, 4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [729, 5103, 35721, 20898, 73386, 8586, 113373, 2376, 64179, -3330, 26208, -870, 4414, 45, 537, 4, 27, 0, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021941395161430, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 432, 'hecke_ring_index_factorization': [[2, 4], [3, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 171, 8, 1, 3, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '342.2.f.g', 'level': 342, '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': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '342.2.f.g', 'prim_orbit_index': 8, 'qexp_display': 'q-q^{2}-\\beta _{9}q^{3}+q^{4}+(\\beta _{4}-\\beta _{16})q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '342.2.f', 'trace_display': [-18, 0, 0, 5], 'trace_hash': 2173073384032642185, 'trace_moments': 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 1368, 'analytic_conductor': 2.730883749127789, 'char_conductor': 171, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [342, 3, [191, 325], [2, 1]], 'conrey_index': 7, 'cusp_dim': 112, 'dim': 40, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 343630938454, 'hecke_orbit_dims': [2, 2, 2, 2, 4, 10, 18], 'label': '342.2.f', 'level': 342, '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': [2, 3, 19], 'level_radical': 114, 'mf_dim': 128, 'mf_new_dim': 40, 'num_forms': 7, 'prim_orbit_index': 8, 'relative_dim': 20, 'sturm_bound': 120, 'trace_bound': 5, 'trace_display': [4, -2, 0, 2], 'traces': [40, 4, -2, 40, 0, -2, 2, 4, -2, 0, -1, -2, -4, -8, 10, 40, -4, -10, 7, 0, -12, -3, 8, -2, -20, 0, -2, 2, -18, 10, 2, 4, 8, 6, 12, -2, -4, 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mf_twists_cc • Show schema
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id: 45793451
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 7, 'target_dim': 18, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021941395161430, 'target_is_minimal': True, 'target_label': '342.2.f.g.7.8', 'target_level': 342, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 45793452
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 235, 'target_dim': 18, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941395162114, 'target_is_minimal': False, 'target_label': '1026.2.f.g.235.2', 'target_level': 1026, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 45793453
{'conductor': 9, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 121, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022078834114902, 'target_is_minimal': True, 'target_label': '342.2.h.g.121.5', 'target_level': 342, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '9.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 45793454
{'conductor': 9, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 577, 'target_dim': 18, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27022078834115586, 'target_is_minimal': False, 'target_label': '1026.2.h.g.577.8', 'target_level': 1026, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '9.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 45793455
{'conductor': 19, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 277, 'target_dim': 18, 'target_embedding_index': 5, 'target_hecke_orbit_code': 27022078834114902, 'target_is_minimal': True, 'target_label': '342.2.h.g.277.5', 'target_level': 342, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '19.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45793456
{'conductor': 57, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 505, 'target_dim': 18, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27022078834115586, 'target_is_minimal': False, 'target_label': '1026.2.h.g.505.8', 'target_level': 1026, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '57.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 45793457
{'conductor': 171, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 49, 'target_dim': 18, 'target_embedding_index': 8, 'target_hecke_orbit_code': 27021941395161430, 'target_is_minimal': True, 'target_label': '342.2.f.g.49.8', 'target_level': 342, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '171.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 45793458
{'conductor': 171, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 7, 'source_dim': 18, 'source_embedding_index': 8, 'source_hecke_orbit_code': 27021941395161430, 'source_is_minimal': True, 'source_label': '342.2.f.g.7.8', 'source_level': 342, 'target_conrey_index': 847, 'target_dim': 18, 'target_embedding_index': 2, 'target_hecke_orbit_code': 27021941395162114, 'target_is_minimal': False, 'target_label': '1026.2.f.g.847.2', 'target_level': 1026, 'twist_class_label': '342.2.f.g.7.8', 'twist_class_level': 342, 'twisting_char_label': '171.68', 'twisting_conrey_index': 68, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 742150
{'charpoly_factorization': [[[1, 1], 18]], 'hecke_orbit_code': 27021941395161430, 'p': 2}
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id: 742151
{'charpoly_factorization': [[[19683, 0, -4374, 4374, 2430, -972, -324, 810, 189, -216, 63, 90, -12, -12, 10, 6, -2, 0, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 3}
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id: 742152
{'charpoly_factorization': [[[729, 5103, 35721, 20898, 73386, 8586, 113373, 2376, 64179, -3330, 26208, -870, 4414, 45, 537, 4, 27, 0, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 5}
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id: 742153
{'charpoly_factorization': [[[84681, -22698, 197271, 25638, 317517, 22185, 211204, -24344, 101282, -18876, 31093, -8320, 6829, -1450, 670, -102, 41, -5, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 7}
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id: 742154
{'charpoly_factorization': [[[81, -810, 11205, 20466, 160785, 25029, 819804, 1091364, 1227106, 702452, 341493, 89952, 26565, 3822, 1380, 114, 45, -1, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 11}
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id: 742155
{'charpoly_factorization': [[[1776, 8832, -2312, -7280, 1134, 1217, -82, -66, 1, 1], 2]], 'hecke_orbit_code': 27021941395161430, 'p': 13}
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id: 742156
{'charpoly_factorization': [[[130439241, -119338029, 267373872, 58180761, 173879622, 57024567, 79424145, 32480028, 19996578, 5428512, 2119446, 462564, 144597, 23505, 4990, 455, 84, 5, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 17}
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id: 742157
{'charpoly_factorization': [[[322687697779, -152852067369, 18771306519, -2634569336, 1686223419, -218939280, -19020007, -7477032, 2797218, -217310, 147222, -20712, -2773, -1680, 681, -56, 21, -9, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 19}
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id: 742158
{'charpoly_factorization': [[[-1728, -16128, -28560, -16008, 32, 2009, 146, -89, -2, 1], 2]], 'hecke_orbit_code': 27021941395161430, 'p': 23}
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id: 742159
{'charpoly_factorization': [[[640923532929, 5598434961, 446950997874, 85339853073, 278544003174, 34112610621, 24695250975, 2566503522, 1390800348, 131687298, 48138228, 3935562, 1178815, 86301, 18834, 1085, 198, 9, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 29}
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id: 742160
{'charpoly_factorization': [[[2690808129, 2546082459, 7641570399, -4884501024, 9132292384, -2143522498, 2195978641, -719077392, 380223249, -82415622, 22609930, -2813896, 640000, -60273, 12579, -672, 133, -4, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 31}
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id: 742161
{'charpoly_factorization': [[[-2416, 11440, -16880, 6428, 4530, -4173, 1060, -61, -10, 1], 2]], 'hecke_orbit_code': 27021941395161430, 'p': 37}
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id: 742162
{'charpoly_factorization': [[[1679616, -14836608, 115877952, -157469184, 243944496, 42185952, 93043752, 15814704, 19935673, 4175615, 2486343, 314650, 141077, 13209, 5573, 250, 87, -1, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 41}
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id: 742163
{'charpoly_factorization': [[[-299856, -1039296, -635392, 23240, 75060, 8763, -1425, -195, 7, 1], 2]], 'hecke_orbit_code': 27021941395161430, 'p': 43}
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id: 742164
{'charpoly_factorization': [[[1579423076001, -4600187482131, 12423937015287, -3573318349458, 1765719911250, -327525998256, 127874358444, -20844324456, 5813983981, -779497051, 175123173, -20985888, 3621132, -348648, 47190, -3798, 387, -19, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 47}
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id: 742165
{'charpoly_factorization': [[[20372138361, 48417067089, 127770590727, 11334420504, 51886176804, -11592184698, 21739573425, -4724897376, 2197599211, -123579344, 75446700, 883334, 2383418, 121461, 32819, 1166, 261, 10, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 53}
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id: 742166
{'charpoly_factorization': [[[13854720729249, 15383112730137, 17414002109160, 6519165543063, 4802550404940, 2177827980309, 916744754367, 249862237650, 56004733296, 8745223518, 1178184204, 114433878, 11519967, 835221, 79480, 3659, 312, 5, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 59}
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id: 742167
{'charpoly_factorization': [[[50781270409, -59090039646, 79556006376, -29133771192, 28852863693, -11296779723, 6950322102, -1963543362, 797154975, -192668095, 61487049, -11257578, 2098404, -244263, 32589, -2976, 318, -18, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 61}
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id: 742168
{'charpoly_factorization': [[[-18567936, -2471040, 13120224, 5849424, 669156, -25847, -8225, -228, 22, 1], 2]], 'hecke_orbit_code': 27021941395161430, 'p': 67}
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id: 742169
{'charpoly_factorization': [[[120758121, -2116778103, 34651559187, -49394551734, 105368305446, 80451237168, 73173306732, 16988165916, 5083570705, 427129117, 132752949, 4788308, 2891432, -45420, 33818, -1006, 291, -11, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 71}
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id: 742170
{'charpoly_factorization': [[[490005727861329, -662101299235449, 751261583672037, -288100799541078, 127051061574072, -41171015991294, 14296218390253, -3551777870840, 720799832855, -108710987430, 13470713512, -1318092754, 112628434, -8090347, 540085, -29568, 1409, -44, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 73}
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id: 742171
{'charpoly_factorization': [[[53092528, 27092576, -3392512, -1848408, 73000, 42169, -669, -370, 2, 1], 2]], 'hecke_orbit_code': 27021941395161430, 'p': 79}
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id: 742172
{'charpoly_factorization': [[[25101031868649, 16925837666364, 23582756116197, 15350705121888, 16576329818907, 9259157312991, 4336480494144, 1164734144604, 245625382314, 33745825422, 3985324065, 324883044, 28959861, 1769706, 150580, 5644, 435, 7, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 83}
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id: 742173
{'charpoly_factorization': [[[28991407990689, 22029259928679, 18078647419701, 4509941331564, 2192868734310, 286830152190, 178146913842, 12326847192, 8456006835, 72026613, 286600059, -229512, 4909866, -1482, 59926, 20, 285, -1, 1], 1]], 'hecke_orbit_code': 27021941395161430, 'p': 89}
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id: 742174
{'charpoly_factorization': [[[-21665872, 27133488, -3730440, -2959816, 190926, 75291, -785, -504, 0, 1], 2]], 'hecke_orbit_code': 27021941395161430, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 7, 'label': '342.2.f.g', 'level': 342, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47351233
{'hecke_orbit_code': 27021941395161430, 'n': 1, 'trace_an': 18}
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id: 47351234
{'hecke_orbit_code': 27021941395161430, 'n': 2, 'trace_an': -18}
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id: 47351235
{'hecke_orbit_code': 27021941395161430, 'n': 3, 'trace_an': 0}
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id: 47351236
{'hecke_orbit_code': 27021941395161430, 'n': 4, 'trace_an': 18}
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id: 47351237
{'hecke_orbit_code': 27021941395161430, 'n': 5, 'trace_an': 0}
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id: 47351238
{'hecke_orbit_code': 27021941395161430, 'n': 6, 'trace_an': 0}
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id: 47351239
{'hecke_orbit_code': 27021941395161430, 'n': 7, 'trace_an': 5}
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id: 47351240
{'hecke_orbit_code': 27021941395161430, 'n': 8, 'trace_an': -18}
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id: 47351241
{'hecke_orbit_code': 27021941395161430, 'n': 9, 'trace_an': 4}
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id: 47351242
{'hecke_orbit_code': 27021941395161430, 'n': 10, 'trace_an': 0}
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id: 47351243
{'hecke_orbit_code': 27021941395161430, 'n': 11, 'trace_an': 1}
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id: 47351244
{'hecke_orbit_code': 27021941395161430, 'n': 12, 'trace_an': 0}
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id: 47351245
{'hecke_orbit_code': 27021941395161430, 'n': 13, 'trace_an': -2}
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id: 47351246
{'hecke_orbit_code': 27021941395161430, 'n': 14, 'trace_an': -5}
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id: 47351247
{'hecke_orbit_code': 27021941395161430, 'n': 15, 'trace_an': 0}
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id: 47351248
{'hecke_orbit_code': 27021941395161430, 'n': 16, 'trace_an': 18}
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id: 47351249
{'hecke_orbit_code': 27021941395161430, 'n': 17, 'trace_an': -5}
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id: 47351250
{'hecke_orbit_code': 27021941395161430, 'n': 18, 'trace_an': -4}
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id: 47351251
{'hecke_orbit_code': 27021941395161430, 'n': 19, 'trace_an': 9}
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id: 47351252
{'hecke_orbit_code': 27021941395161430, 'n': 20, 'trace_an': 0}
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id: 47351253
{'hecke_orbit_code': 27021941395161430, 'n': 21, 'trace_an': -4}
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id: 47351254
{'hecke_orbit_code': 27021941395161430, 'n': 22, 'trace_an': -1}
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id: 47351255
{'hecke_orbit_code': 27021941395161430, 'n': 23, 'trace_an': 4}
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id: 47351256
{'hecke_orbit_code': 27021941395161430, 'n': 24, 'trace_an': 0}
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id: 47351257
{'hecke_orbit_code': 27021941395161430, 'n': 25, 'trace_an': -9}
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id: 47351258
{'hecke_orbit_code': 27021941395161430, 'n': 26, 'trace_an': 2}
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id: 47351259
{'hecke_orbit_code': 27021941395161430, 'n': 27, 'trace_an': -18}
-
id: 47351260
{'hecke_orbit_code': 27021941395161430, 'n': 28, 'trace_an': 5}
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id: 47351261
{'hecke_orbit_code': 27021941395161430, 'n': 29, 'trace_an': -9}
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id: 47351262
{'hecke_orbit_code': 27021941395161430, 'n': 30, 'trace_an': 0}
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id: 47351263
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