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mf_newforms • Show schema
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{'Nk2': 348, 'analytic_conductor': 0.6946984975851394, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 7, 'char_parity': 1, 'char_values': [87, 7, [59, 31], [7, 3]], 'cm_discs': [], 'conrey_index': 7, 'dim': 18, 'field_disc': -1324801847554238790637534207, 'field_disc_factorization': [[-1, 1], [7, 15], [2029, 2], [8233, 2]], 'field_poly': [49, -392, 7938, -19712, 23373, -15449, 7428, -3280, 2349, -822, 762, -387, 272, -115, 66, -32, 15, -5, 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': [[2, [49, 784, 7889, 8169, 10626, 12271, 7862, 2362, 1852, 718, 650, 222, 76, 25, 38, 17, 8, 2, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4504011977785431, '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, 29, 4, 1, 7, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '87.2.g.b', 'level': 87, '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': True, 'level_primes': [3, 29], 'level_radical': 87, 'minimal_twist': '87.2.g.b', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{3}q^{2}+\\beta _{14}q^{3}+(-\\beta _{10}-\\beta _{16}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '87.2.g', 'trace_display': [-2, 3, -7, -4], 'trace_hash': 1557918283118283475, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 348, 'analytic_conductor': 0.6946984975851394, 'char_conductor': 29, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 7, 'char_orbit_label': 'g', 'char_order': 7, 'char_parity': 1, 'char_values': [87, 7, [59, 31], [7, 3]], 'conrey_index': 7, 'cusp_dim': 48, 'dim': 36, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 412350414935, 'hecke_orbit_dims': [18, 18], 'label': '87.2.g', 'level': 87, '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': True, 'level_primes': [3, 29], 'level_radical': 87, 'mf_dim': 72, 'mf_new_dim': 36, 'num_forms': 2, 'prim_orbit_index': 4, 'relative_dim': 6, 'sturm_bound': 20, 'trace_bound': 2, 'trace_display': [-6, 0, -8, -8], 'traces': [36, -6, 0, -12, -8, -2, -8, -18, -6, -8, 20, 0, -2, -12, 6, 4, -28, -6, -8, 50, 0, 12, -14, -12, 20, 2, 0, 32, -2, 8, -4, 64, -24, -16, 40, -12, 4, -52, -8, -26, 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mf_twists_cc • Show schema
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id: 35357160
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 16, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785431, 'target_is_minimal': True, 'target_label': '87.2.g.b.16.1', 'target_level': 87, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 35357161
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 190, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692549, 'target_is_minimal': False, 'target_label': '261.2.k.b.190.3', 'target_level': 261, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 35357162
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 9, 'target_hecke_orbit_code': 67553994444114395, 'target_is_minimal': False, 'target_label': '2523.2.a.p.1.9', 'target_level': 2523, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '29.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 35357163
{'conductor': 29, 'degree': 6, 'order': 7, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 49, 'target_dim': 18, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4504011977785431, 'target_is_minimal': True, 'target_label': '87.2.g.b.49.1', 'target_level': 87, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '29.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35357164
{'conductor': 29, 'degree': 6, 'order': 14, 'parity': 1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071484891, 'target_is_minimal': False, 'target_label': '2523.2.a.q.1.1', 'target_level': 2523, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '29.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 35357165
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 136, 'target_dim': 18, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504286855692549, 'target_is_minimal': False, 'target_label': '261.2.k.b.136.3', 'target_level': 261, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '87.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 35357166
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246270353, 'target_is_minimal': False, 'target_label': '7569.2.a.bl.1.1', 'target_level': 7569, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '87.65', 'twisting_conrey_index': 65, 'weight': 2}
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id: 35357167
{'conductor': 87, 'degree': 6, 'order': 14, 'parity': -1, 'source_conrey_index': 16, 'source_dim': 18, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4504011977785431, 'source_is_minimal': True, 'source_label': '87.2.g.b.16.1', 'source_level': 87, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 9, 'target_hecke_orbit_code': 162129586618899857, 'target_is_minimal': False, 'target_label': '7569.2.a.bk.1.9', 'target_level': 7569, 'twist_class_label': '87.2.g.b.16.1', 'twist_class_level': 87, 'twisting_char_label': '87.80', 'twisting_conrey_index': 80, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 266400
{'charpoly_factorization': [[[49, 784, 7889, 8169, 10626, 12271, 7862, 2362, 1852, 718, 650, 222, 76, 25, 38, 17, 8, 2, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 2}
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id: 266401
{'charpoly_factorization': [[[1, -1, 1, -1, 1, -1, 1], 3]], 'hecke_orbit_code': 4504011977785431, 'p': 3}
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id: 266402
{'charpoly_factorization': [[[28561, 118638, 564967, 1149876, 1392739, 1170007, 739835, 366285, 175287, 88566, 39138, 11258, 1430, -263, -52, 34, 30, 7, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 5}
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id: 266403
{'charpoly_factorization': [[[10816, -47424, 213568, -626632, 1702224, -2899766, 3680383, -3174263, 1551817, -283090, 35030, -20290, 2912, 1053, 416, 8, 10, 4, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 7}
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id: 266404
{'charpoly_factorization': [[[56190016, -84674816, 235337776, -153808944, 77947888, -32378592, 14889817, -6018236, 2302369, -579335, 139836, -24623, 8990, -592, 42, -59, 7, 6, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 11}
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id: 266405
{'charpoly_factorization': [[[707281, 1189174, 1014830, 863034, 726254, 110969, 41385, 25094, 72482, 45121, 26119, 11603, 5872, 2660, 1056, 318, 72, 11, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 13}
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id: 266406
{'charpoly_factorization': [[[-271727, -100052, 93652, 53660, 1655, -3703, -632, 37, 16, 1], 2]], 'hecke_orbit_code': 4504011977785431, 'p': 17}
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id: 266407
{'charpoly_factorization': [[[64, 192, 176, -2048, -928, 9648, 26801, 41529, 47224, 39503, 27403, 15202, 6260, 1703, 356, 71, 24, -2, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 19}
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id: 266408
{'charpoly_factorization': [[[180848704, 288916832, 228642896, 224458600, 227696772, 76701198, 60921125, 42564894, 17688324, 3497672, 208357, -69940, 1324, 4994, 2508, 428, 82, 6, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 23}
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id: 266409
{'charpoly_factorization': [[[14507145975869, 5002464129610, -620995547124, -343807879538, 20839327384, 14897459703, -555532642, -498406876, 16020789, 19185875, 552441, -592636, -22778, 21063, 1016, -578, -36, 10, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 29}
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id: 266410
{'charpoly_factorization': [[[216775910464, 591603543616, 717861950784, 494425959344, 239153033324, 83085824892, 29209551181, 6375612685, 1544429645, 173111242, 40434424, -494896, 293945, -36516, 2067, 834, 5, -8, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 31}
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id: 266411
{'charpoly_factorization': [[[12378120049, -73190751221, 228907272924, -367407926383, 335014323071, -188342644457, 76116580801, -24809534865, 6740600577, -1475969591, 260231888, -37328594, 4482959, -468540, 46227, -4193, 351, -20, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 37}
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id: 266412
{'charpoly_factorization': [[[583681, 620354, -63658, -227256, -75695, -5129, 1818, 419, 34, 1], 2]], 'hecke_orbit_code': 4504011977785431, 'p': 41}
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id: 266413
{'charpoly_factorization': [[[59845696, 8903919392, 849254015536, 898608591528, 596688837772, 260257702914, 66526214513, 9477412572, 2996360325, 792965429, 107277259, 9594959, 1290069, -65183, 10464, -1066, 84, 3, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 43}
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id: 266414
{'charpoly_factorization': [[[49056352192576, -13402844294208, 3313298954496, -69747208936, 84367534928, -17965372678, 15162823627, -7776281109, 2569691149, -595470844, 117237005, -19049095, 2604091, -289003, 29685, -2855, 258, -19, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 47}
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id: 266415
{'charpoly_factorization': [[[1650985998649, -1483435410756, 760596455488, -228128540617, 82552355764, -21335229656, 4043904492, 426049414, 707427615, 104452090, 31418055, 4850206, 716739, -18623, 13412, -1404, 21, 1, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 53}
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id: 266416
{'charpoly_factorization': [[[-56161784, 1456700, 6008296, -302695, -221696, 15737, 3068, -268, -10, 1], 2]], 'hecke_orbit_code': 4504011977785431, 'p': 59}
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id: 266417
{'charpoly_factorization': [[[413051721481, 6017473415394, 25437275704400, -18041386904828, 8365202859475, -2440239924213, 587158686374, -110088506558, 18446261730, -2760141912, 388970207, -50294864, 5884374, -569756, 51239, -3903, 319, -24, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 61}
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id: 266418
{'charpoly_factorization': [[[2608805991966784, 1461818231016736, 683928853158352, 167323937747576, 47251231167708, 6905125874002, 908166969091, 29333309463, -2790172554, 496014606, 438831904, 79588906, 7787377, 615210, 62210, 4008, 169, 14, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 67}
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id: 266419
{'charpoly_factorization': [[[437259497536, -1013422430432, 5633136718000, -4428750631880, 2402014417044, -790118672082, 148630589671, -6009663553, -2039687484, 327696618, 61132358, 1070185, 1367887, 206447, 20589, 2397, 347, 28, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 71}
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id: 266420
{'charpoly_factorization': [[[1649870887729, -7959549071439, 19979824683337, -24770110946202, 15854693087479, -5900757473840, 2852275178769, -678447343039, 105864386310, -7103269665, 5401242, 49444831, 2444811, -1326512, 211147, -18760, 1107, -43, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 73}
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id: 266421
{'charpoly_factorization': [[[979940416, 1608399520, -2521830080, 35144695432, 186541192600, 51125073412, 47362014393, 3718083604, 1952007033, 595525206, 142901737, 16735546, 1369913, -19086, -1586, -626, 155, -9, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 79}
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id: 266422
{'charpoly_factorization': [[[22138078932544, -3511613290080, 4041484148208, -627368076024, 448161784156, -24252479030, 24022313015, -3237402283, 744911784, -63833734, -1654554, 879619, 407819, -59563, 13949, -773, 15, -8, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 83}
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id: 266423
{'charpoly_factorization': [[[56188010430250609, 6047204498225342, 2870475137117165, 263759226725111, 42224611055649, 3657583797253, 328424357459, 52164338297, 26655599519, 3095394425, 522928983, 43742319, 4729395, 612295, 65749, 2688, 111, 6, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 89}
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id: 266424
{'charpoly_factorization': [[[328495941544849, 1421120875153226, 2309746882500394, 1512127582466230, 770415519469014, 311593396506488, 102793830824899, 25890722786704, 4941088975125, 731447870289, 86430533190, 8279126938, 652973115, 42711948, 2320456, 102356, 3476, 81, 1], 1]], 'hecke_orbit_code': 4504011977785431, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 7, 'hecke_orbit': 2, 'label': '87.2.g.b', 'level': 87, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 22690303
{'hecke_orbit_code': 4504011977785431, 'n': 1, 'trace_an': 18}
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id: 22690304
{'hecke_orbit_code': 4504011977785431, 'n': 2, 'trace_an': -2}
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id: 22690305
{'hecke_orbit_code': 4504011977785431, 'n': 3, 'trace_an': 3}
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id: 22690306
{'hecke_orbit_code': 4504011977785431, 'n': 4, 'trace_an': -6}
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id: 22690307
{'hecke_orbit_code': 4504011977785431, 'n': 5, 'trace_an': -7}
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id: 22690308
{'hecke_orbit_code': 4504011977785431, 'n': 6, 'trace_an': 2}
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id: 22690309
{'hecke_orbit_code': 4504011977785431, 'n': 7, 'trace_an': -4}
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id: 22690310
{'hecke_orbit_code': 4504011977785431, 'n': 8, 'trace_an': -3}
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id: 22690311
{'hecke_orbit_code': 4504011977785431, 'n': 9, 'trace_an': -3}
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id: 22690312
{'hecke_orbit_code': 4504011977785431, 'n': 10, 'trace_an': 6}
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id: 22690313
{'hecke_orbit_code': 4504011977785431, 'n': 11, 'trace_an': -6}
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id: 22690314
{'hecke_orbit_code': 4504011977785431, 'n': 12, 'trace_an': -22}
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id: 22690315
{'hecke_orbit_code': 4504011977785431, 'n': 13, 'trace_an': -11}
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id: 22690316
{'hecke_orbit_code': 4504011977785431, 'n': 14, 'trace_an': -2}
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id: 22690317
{'hecke_orbit_code': 4504011977785431, 'n': 15, 'trace_an': 7}
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id: 22690318
{'hecke_orbit_code': 4504011977785431, 'n': 16, 'trace_an': 18}
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id: 22690319
{'hecke_orbit_code': 4504011977785431, 'n': 17, 'trace_an': -32}
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id: 22690320
{'hecke_orbit_code': 4504011977785431, 'n': 18, 'trace_an': -2}
-
id: 22690321
{'hecke_orbit_code': 4504011977785431, 'n': 19, 'trace_an': 2}
-
id: 22690322
{'hecke_orbit_code': 4504011977785431, 'n': 20, 'trace_an': 51}
-
id: 22690323
{'hecke_orbit_code': 4504011977785431, 'n': 21, 'trace_an': 4}
-
id: 22690324
{'hecke_orbit_code': 4504011977785431, 'n': 22, 'trace_an': 20}
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id: 22690325
{'hecke_orbit_code': 4504011977785431, 'n': 23, 'trace_an': -6}
-
id: 22690326
{'hecke_orbit_code': 4504011977785431, 'n': 24, 'trace_an': -4}
-
id: 22690327
{'hecke_orbit_code': 4504011977785431, 'n': 25, 'trace_an': 4}
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id: 22690328
{'hecke_orbit_code': 4504011977785431, 'n': 26, 'trace_an': -3}
-
id: 22690329
{'hecke_orbit_code': 4504011977785431, 'n': 27, 'trace_an': 3}
-
id: 22690330
{'hecke_orbit_code': 4504011977785431, 'n': 28, 'trace_an': -48}
-
id: 22690331
{'hecke_orbit_code': 4504011977785431, 'n': 29, 'trace_an': -10}
-
id: 22690332
{'hecke_orbit_code': 4504011977785431, 'n': 30, 'trace_an': 8}
-
id: 22690333
{'hecke_orbit_code': 4504011977785431, 'n': 31, 'trace_an': 8}
-
id: 22690334
{'hecke_orbit_code': 4504011977785431, 'n': 32, 'trace_an': 55}
-
id: 22690335
{'hecke_orbit_code': 4504011977785431, 'n': 33, 'trace_an': -8}
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id: 22690336
{'hecke_orbit_code': 4504011977785431, 'n': 34, 'trace_an': 6}
-
id: 22690337
{'hecke_orbit_code': 4504011977785431, 'n': 35, 'trace_an': 31}
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id: 22690338
{'hecke_orbit_code': 4504011977785431, 'n': 36, 'trace_an': -6}
-
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id: 22690542
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id: 22690543
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id: 22690544
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id: 22690545
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id: 22690546
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id: 22690547
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id: 22690548
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id: 22690549
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id: 22690550
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id: 22690551
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id: 22690552
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id: 22690553
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id: 22690554
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id: 22690555
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id: 22690556
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id: 22690557
{'hecke_orbit_code': 4504011977785431, 'n': 977, 'trace_an': 88}
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id: 22690558
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id: 22690559
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id: 22690560
{'hecke_orbit_code': 4504011977785431, 'n': 997, 'trace_an': 83}