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mf_newforms • Show schema
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{'Nk2': 740, 'analytic_conductor': 1.4772324373936871, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 37, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [185, 3, [112, 76], [3, 1]], 'cm_discs': [], 'conrey_index': 26, 'dim': 14, 'field_disc': -376985692729204271955675, 'field_disc_factorization': [[-1, 1], [3, 7], [5, 2], [2625838661, 2]], 'field_poly': [81, -243, 792, -441, 985, -290, 935, -110, 332, -18, 86, -2, 11, 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': [[2, [81, -243, 792, -441, 985, -290, 935, -110, 332, -18, 86, -2, 11, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 274911461561, '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, 37, 3, 1, 3, 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': '185.2.e.a', 'level': 185, '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': [5, 37], 'level_radical': 185, 'minimal_twist': '185.2.e.a', 'prim_orbit_index': 3, 'qexp_display': 'q+(-\\beta _{1}+\\beta _{4})q^{2}-\\beta _{6}q^{3}+(\\beta _{2}+\\beta _{9}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '185.2.e', 'trace_display': [0, -2, -7, 0], 'trace_hash': 1876099774322495130, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.970', 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 740, 'analytic_conductor': 1.4772324373936871, 'char_conductor': 37, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [185, 3, [112, 76], [3, 1]], 'conrey_index': 26, 'cusp_dim': 32, 'dim': 28, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461561, 'hecke_orbit_dims': [14, 14], 'label': '185.2.e', 'level': 185, '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': [5, 37], 'level_radical': 185, 'mf_dim': 40, 'mf_new_dim': 28, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 14, 'sturm_bound': 38, 'trace_bound': 2, 'trace_display': [2, -4, 0, 2], 'traces': [28, 2, -4, -16, 0, 0, 2, 0, -18, 4, -12, -2, 10, -16, 0, -12, -4, -10, -8, 0, 14, 6, 12, -6, -14, -20, 8, 22, -24, 4, -8, 22, -10, 22, -2, 32, 30, 12, -2, -6, 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mf_twists_cc • Show schema
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id: 2450305
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 26, 'target_dim': 14, 'target_embedding_index': 4, 'target_hecke_orbit_code': 274911461561, 'target_is_minimal': True, 'target_label': '185.2.e.a.26.4', 'target_level': 185, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 2450306
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 174, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504561733600157, 'target_is_minimal': False, 'target_label': '925.2.o.b.174.7', 'target_level': 925, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 2450307
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 174, 'target_dim': 28, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504561733600157, 'target_is_minimal': False, 'target_label': '925.2.o.b.174.8', 'target_level': 925, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 2450308
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 26, 'target_dim': 14, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007474166203293, 'target_is_minimal': False, 'target_label': '925.2.e.c.26.4', 'target_level': 925, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 2450309
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 121, 'target_dim': 14, 'target_embedding_index': 4, 'target_hecke_orbit_code': 274911461561, 'target_is_minimal': True, 'target_label': '185.2.e.a.121.4', 'target_level': 185, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '37.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 2450310
{'conductor': 37, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 45035996307266237, 'target_is_minimal': False, 'target_label': '6845.2.a.k.1.4', 'target_level': 6845, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '37.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 2450311
{'conductor': 37, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 1, 'target_dim': 7, 'target_embedding_index': 4, 'target_hecke_orbit_code': 49539595934636733, 'target_is_minimal': False, 'target_label': '6845.2.a.l.1.4', 'target_level': 6845, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '37.26', 'twisting_conrey_index': 26, 'weight': 2}
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id: 2450312
{'conductor': 185, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 824, 'target_dim': 28, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504561733600157, 'target_is_minimal': False, 'target_label': '925.2.o.b.824.8', 'target_level': 925, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '185.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 2450313
{'conductor': 185, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 676, 'target_dim': 14, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007474166203293, 'target_is_minimal': False, 'target_label': '925.2.e.c.676.4', 'target_level': 925, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '185.84', 'twisting_conrey_index': 84, 'weight': 2}
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id: 2450314
{'conductor': 185, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 26, 'source_dim': 14, 'source_embedding_index': 4, 'source_hecke_orbit_code': 274911461561, 'source_is_minimal': True, 'source_label': '185.2.e.a.26.4', 'source_level': 185, 'target_conrey_index': 824, 'target_dim': 28, 'target_embedding_index': 7, 'target_hecke_orbit_code': 4504561733600157, 'target_is_minimal': False, 'target_label': '925.2.o.b.824.7', 'target_level': 925, 'twist_class_label': '185.2.e.a.26.4', 'twist_class_level': 185, 'twisting_char_label': '185.158', 'twisting_conrey_index': 158, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 468375
{'charpoly_factorization': [[[81, -243, 792, -441, 985, -290, 935, -110, 332, -18, 86, -2, 11, 0, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 2}
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id: 468376
{'charpoly_factorization': [[[25, 325, 3610, 7545, 12359, 9490, 6833, 2430, 1520, 408, 242, 32, 19, 2, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 3}
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id: 468377
{'charpoly_factorization': [[[1, 1, 1], 7]], 'hecke_orbit_code': 274911461561, 'p': 5}
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id: 468378
{'charpoly_factorization': [[[81, -306, 2308, 6026, 13114, 12918, 10933, 4507, 2258, 392, 391, 24, 22, 0, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 7}
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id: 468379
{'charpoly_factorization': [[[-321, -538, 183, 232, -30, -29, 1, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 11}
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id: 468380
{'charpoly_factorization': [[[1, -161, 26350, 69711, 132398, 125503, 91577, 37293, 13112, 1857, 731, 44, 46, -4, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 13}
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id: 468381
{'charpoly_factorization': [[[81, 11538, 1619809, 3365740, 6066702, 2273692, 1021994, 168350, 65823, 8590, 2889, 201, 64, 3, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 17}
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id: 468382
{'charpoly_factorization': [[[1594963969, 2082075558, 2258678456, 794273812, 294856685, 64098134, 18015456, 3259195, 699457, 92210, 15080, 1582, 210, 14, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 19}
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id: 468383
{'charpoly_factorization': [[[-1695, 5051, -3807, 730, 194, -69, 0, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 23}
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id: 468384
{'charpoly_factorization': [[[1707, -21785, 5284, 2546, -446, -96, 6, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 29}
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id: 468385
{'charpoly_factorization': [[[-49465, -23485, 7656, 4257, -58, -131, 0, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 31}
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id: 468386
{'charpoly_factorization': [[[94931877133, -46183075362, 16157141981, -4381788418, 1089090153, -235358480, 45111510, -7739685, 1219230, -171920, 21501, -2338, 233, -18, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 37}
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id: 468387
{'charpoly_factorization': [[[8431096041, 2000320485, 2382810247, 79642288, 407999931, 30879388, 23987993, 2410752, 1086530, 103436, 20637, 986, 179, 7, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 41}
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id: 468388
{'charpoly_factorization': [[[72627, 99728, -29452, -6226, 1861, -15, -19, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 43}
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id: 468389
{'charpoly_factorization': [[[1558197, -451239, -60931, 19431, 845, -255, -4, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 47}
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id: 468390
{'charpoly_factorization': [[[1010284306641, 154822030128, 96819843033, 12015108570, 5835976384, 663502229, 179594678, 13011554, 3066035, 179133, 35801, 1250, 236, 6, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 53}
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id: 468391
{'charpoly_factorization': [[[205209, -4587078, 116609680, 330128844, 791619707, 531939778, 295304216, 16996205, 4576489, 88386, 51584, 438, 266, -2, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 59}
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id: 468392
{'charpoly_factorization': [[[340660849, 107715052, 410027986, 213199024, 460885321, 183054758, 86762806, 5482979, 1958017, 24372, 38220, -146, 230, 4, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 61}
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id: 468393
{'charpoly_factorization': [[[9134580625, -1338527875, 4216215675, 1706732360, 1557916059, 300587679, 92061032, 6821327, 2548055, 185460, 35610, 1308, 239, 8, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 67}
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id: 468394
{'charpoly_factorization': [[[995087025, -2392151985, 5095832779, -2378602004, 1431720477, 93594274, 167247483, -5434448, 3935388, -583084, 115793, -10728, 829, -33, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 71}
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id: 468395
{'charpoly_factorization': [[[-144915, -6010, 32406, 4921, -1172, -228, 0, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 73}
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id: 468396
{'charpoly_factorization': [[[898031046025, -442910320100, 212106214640, -41801125180, 10625442769, -1128659037, 324448314, -22395157, 5298343, -86471, 51504, -39, 330, 9, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 79}
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id: 468397
{'charpoly_factorization': [[[5890329, 49967076, 355048159, 546697888, 650909905, 286605245, 110868506, -2015751, 4119073, 187311, 47675, 1323, 312, 11, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 83}
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id: 468398
{'charpoly_factorization': [[[13477120281, -38377014507, 138514027639, 87017409326, 57536421390, 6965085110, 1450703138, 102410641, 21422262, 1292474, 146706, 4560, 478, 12, 1], 1]], 'hecke_orbit_code': 274911461561, 'p': 89}
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id: 468399
{'charpoly_factorization': [[[270769, -102362, -48149, 7582, 1858, -183, -15, 1], 2]], 'hecke_orbit_code': 274911461561, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 1, 'label': '185.2.e.a', 'level': 185, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 7458588
{'hecke_orbit_code': 274911461561, 'n': 1, 'trace_an': 14}
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id: 7458589
{'hecke_orbit_code': 274911461561, 'n': 2, 'trace_an': 0}
-
id: 7458590
{'hecke_orbit_code': 274911461561, 'n': 3, 'trace_an': -2}
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id: 7458591
{'hecke_orbit_code': 274911461561, 'n': 4, 'trace_an': -8}
-
id: 7458592
{'hecke_orbit_code': 274911461561, 'n': 5, 'trace_an': -7}
-
id: 7458593
{'hecke_orbit_code': 274911461561, 'n': 6, 'trace_an': -4}
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id: 7458594
{'hecke_orbit_code': 274911461561, 'n': 7, 'trace_an': 0}
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id: 7458595
{'hecke_orbit_code': 274911461561, 'n': 8, 'trace_an': 6}
-
id: 7458596
{'hecke_orbit_code': 274911461561, 'n': 9, 'trace_an': -13}
-
id: 7458597
{'hecke_orbit_code': 274911461561, 'n': 10, 'trace_an': 0}
-
id: 7458598
{'hecke_orbit_code': 274911461561, 'n': 11, 'trace_an': -2}
-
id: 7458599
{'hecke_orbit_code': 274911461561, 'n': 12, 'trace_an': 6}
-
id: 7458600
{'hecke_orbit_code': 274911461561, 'n': 13, 'trace_an': 4}
-
id: 7458601
{'hecke_orbit_code': 274911461561, 'n': 14, 'trace_an': 20}
-
id: 7458602
{'hecke_orbit_code': 274911461561, 'n': 15, 'trace_an': -2}
-
id: 7458603
{'hecke_orbit_code': 274911461561, 'n': 16, 'trace_an': 2}
-
id: 7458604
{'hecke_orbit_code': 274911461561, 'n': 17, 'trace_an': -3}
-
id: 7458605
{'hecke_orbit_code': 274911461561, 'n': 18, 'trace_an': -6}
-
id: 7458606
{'hecke_orbit_code': 274911461561, 'n': 19, 'trace_an': -14}
-
id: 7458607
{'hecke_orbit_code': 274911461561, 'n': 20, 'trace_an': -8}
-
id: 7458608
{'hecke_orbit_code': 274911461561, 'n': 21, 'trace_an': 1}
-
id: 7458609
{'hecke_orbit_code': 274911461561, 'n': 22, 'trace_an': 7}
-
id: 7458610
{'hecke_orbit_code': 274911461561, 'n': 23, 'trace_an': 0}
-
id: 7458611
{'hecke_orbit_code': 274911461561, 'n': 24, 'trace_an': 15}
-
id: 7458612
{'hecke_orbit_code': 274911461561, 'n': 25, 'trace_an': -7}
-
id: 7458613
{'hecke_orbit_code': 274911461561, 'n': 26, 'trace_an': -22}
-
id: 7458614
{'hecke_orbit_code': 274911461561, 'n': 27, 'trace_an': -14}
-
id: 7458615
{'hecke_orbit_code': 274911461561, 'n': 28, 'trace_an': 9}
-
id: 7458616
{'hecke_orbit_code': 274911461561, 'n': 29, 'trace_an': -12}
-
id: 7458617
{'hecke_orbit_code': 274911461561, 'n': 30, 'trace_an': 2}
-
id: 7458618
{'hecke_orbit_code': 274911461561, 'n': 31, 'trace_an': 0}
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id: 7458619
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id: 7458822
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id: 7458823
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id: 7458824
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id: 7458825
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id: 7458826
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id: 7458827
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id: 7458828
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id: 7458829
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id: 7458830
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id: 7458831
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id: 7458832
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id: 7458833
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id: 7458834
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id: 7458835
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id: 7458836
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id: 7458837
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id: 7458838
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id: 7458839
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id: 7458840
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id: 7458841
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id: 7458842
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id: 7458843
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id: 7458844
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id: 7458845
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