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mf_newforms • Show schema
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{'Nk2': 13068, 'analytic_conductor': 39.56413438511511, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': -1, 'char_values': [1452, 2, [727, 485, 1333], [2, 2, 1]], 'cm_discs': [], 'conrey_index': 241, 'dim': 8, 'field_disc': 1007567768715264, 'field_disc_factorization': [[2, 16], [3, 4], [23, 2], [599, 2]], 'field_poly': [902232, -56448, -106140, 5796, 5617, -84, -122, 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, [792, 84, -59, -4, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542902457772, 'hecke_ring_generator_nbound': 13, '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, 11, 2, -1, 2, 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': '1452.3.f.c', 'level': 1452, '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, 11], 'level_radical': 66, 'minimal_twist': '1452.3.f.c', 'prim_orbit_index': 2, 'qexp_display': 'q+\\beta _{5}q^{3}+(1+\\beta _{3})q^{5}+(-\\beta _{2}+3\\beta _{4}+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '2.2.3.c2', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1452.3.f', 'trace_display': [0, 0, 8, 0], 'trace_hash': 292344510255132811, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.087', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.262', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 13068, 'analytic_conductor': 39.56413438511511, 'char_conductor': 11, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 2, 'char_parity': -1, 'char_values': [1452, 2, [727, 485, 1333], [2, 2, 1]], 'conrey_index': 241, 'cusp_dim': 492, 'dim': 36, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 343647716780, 'hecke_orbit_dims': [4, 8, 8, 16], 'label': '1452.3.f', 'level': 1452, '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, 11], 'level_radical': 66, 'mf_dim': 564, 'mf_new_dim': 36, 'num_forms': 4, 'prim_orbit_index': 2, 'relative_dim': 36, 'sturm_bound': 792, 'trace_bound': 5, 'trace_display': [0, 0, -4, 0], 'traces': [36, 0, 0, 0, -4, 0, 0, 0, 108, 0, 0, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, -44, 0, 284, 0, 0, 0, 0, 0, 40, 0, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, -12, 0, 184, 0, -48, 0, 0, 0, 88, 0, 0, 0, 0, 0, -164, 0, 0, 0, 0, 0, 0, 0, -4, 0, -84, 0, -204, 0, 0, 0, 24, 0, 0, 0, 0, 0, 324, 0, 0, 0, 0, 0, 0, 0, -252, 0, -172, 0, 60, 0, 0, 0, -516, 0, 0, 0, 0, 0, 208, 0, 0, 0, 0, 0, 0, 0, -12, 0, -60, 0, -164, 0, 0, 0, 592, 0, 0, 0, 0, 0, 508, 0, 0, 0, 0, 0, 0, 0, 672, 0, -36, 0, -1468, 0, 0, 0, -300, 0, 0, 0, 0, 0, -180, 0, 0, 0, 0, 0, 0, 0, 60, 0, 864, 0, 408, 0, 0, 0, 456, 0, 0, 0, 0, 0, 148, 0, 0, 0, 0, 0, 0, 0, 396, 0, 748, 0, 924, 0, 0, 0, 1940, 0, 0, 0, 0, 0, -220, 0, 0, 0, 0, 0, 0, 0, 788, 0, 276, 0, -1824, 0, 0, 0, -132, 0, 0, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 688, 0, -1384, 0, 852, 0, 0, 0, -512, 0, 0, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 0, 0, 696, 0, 72, 0, 0, 0, 520, 0, 0, 0, 0, 0, -716, 0, 0, 0, 0, 0, 0, 0, -2128, 0, -444, 0, -680, 0, 0, 0, -2076, 0, 0, 0, 0, 0, 120, 0, 0, 0, 0, 0, 0, 0, -1300, 0, 176, 0, 1008, 0, 0, 0, 636, 0, 0, 0, 0, 0, 1276, 0, 0, 0, 0, 0, 0, 0, 768, 0, 1012, 0, 1356, 0, 0, 0, -940, 0, 0, 0, 0, 0, -1588, 0, 0, 0, 0, 0, 0, 0, -732, 0, 144, 0, -880, 0, 0, 0, -588, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, -1552, 0, -652, 0, 1380, 0, 0, 0, -776, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 636, 0, -2312, 0, 736, 0, 0, 0, 44, 0, 0, 0, 0, 0, 416, 0, 0, 0, 0, 0, 0, 0, 1668, 0, -240, 0, -1520, 0, 0, 0, -36, 0, 0, 0, 0, 0, 948, 0, 0, 0, 0, 0, 0, 0, -1364, 0, -996, 0, 552, 0, 0, 0, -380, 0, 0, 0, 0, 0, -2488, 0, 0, 0, 0, 0, 0, 0, -144, 0, 1928, 0, 3468, 0, 0, 0, 2024, 0, 0, 0, 0, 0, -2220, 0, 0, 0, 0, 0, 0, 0, 920, 0, -228, 0, -2540, 0, 0, 0, 1284, 0, 0, 0, 0, 0, 264, 0, 0, 0, 0, 0, 0, 0, -80, 0, -2300, 0, 696, 0, 0, 0, -3624, 0, 0, 0, 0, 0, 3268, 0, 0, 0, 0, 0, 0, 0, -1344, 0, -1808, 0, 3172, 0, 0, 0, -856, 0, 0, 0, 0, 0, -3912, 0, 0, 0, 0, 0, 0, 0, 2444, 0, -492, 0, -332, 0, 0, 0, -792, 0, 0, 0, 0, 0, 672, 0, 0, 0, 0, 0, 0, 0, -1432, 0, 1588, 0, 792, 0, 0, 0, -1216, 0, 0, 0, 0, 0, -2764, 0, 0, 0, 0, 0, 0, 0, 1932, 0, 116, 0, -1892, 0, 0, 0, 1668, 0, 0, 0, 0, 0, 3636, 0, 0, 0, 0, 0, 0, 0, 160, 0, -1548, 0, -1520, 0, 0, 0, -12, 0, 0, 0, 0, 0, -744, 0, 0, 0, 0, 0, 0, 0, 2404, 0, -2192, 0, -252, 0, 0, 0, -892, 0, 0, 0, 0, 0, -2408, 0, 0, 0, 0, 0, 0, 0, -612, 0, -1940, 0, 8, 0, 0, 0, 2632, 0, 0, 0, 0, 0, 2376, 0, 0, 0, 0, 0, 0, 0, -460, 0, -2052, 0, 3816, 0, 0, 0, -1200, 0, 0, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 1068, 0, 5628, 0, 3744, 0, 0, 0, -68, 0, 0, 0, 0, 0, 5940, 0, 0, 0, 0, 0, 0, 0, 288, 0, -3828, 0, -2364, 0, 0, 0, 1256, 0, 0, 0, 0, 0, -5180, 0, 0, 0, 0, 0, 0, 0, -3788, 0, 972, 0, -6656, 0, 0, 0, -576, 0, 0, 0, 0, 0, 1332, 0, 0, 0, 0, 0, 0, 0, -2740, 0, -3260, 0, -1296, 0, 0, 0, -4376, 0, 0, 0, 0, 0, -2368, 0, 0, 0, 0, 0, 0, 0, -1728, 0, 4996, 0, 2320, 0, 0, 0, -2388, 0, 0, 0, 0, 0, 6120, 0, 0, 0, 0, 0, 0, 0, 3440, 0, 1056, 0, -2640, 0, 0, 0, -756, 0, 0, 0, 0, 0, -3216, 0, 0, 0, 0, 0, 0, 0, -5724, 0, 872, 0, -516, 0, 0, 0, -888, 0, 0, 0, 0, 0, -2512, 0, 0, 0, 0, 0, 0, 0, 180, 0, 236, 0, 2328, 0, 0, 0, 6232, 0, 0, 0, 0, 0, 2236, 0, 0, 0, 0, 0, 0, 0, -3676, 0, 1692, 0, 2080, 0, 0, 0, 3384, 0, 0, 0, 0, 0, -1548, 0, 0, 0, 0, 0, 0, 0, 6624, 0, 4088, 0, -432, 0, 0, 0, 596, 0, 0, 0, 0, 0, 5096, 0, 0, 0, 0, 0, 0, 0, 924, 0, 7196, 0, -1328, 0, 0, 0, 28, 0, 0, 0, 0, 0, -3512, 0, 0, 0, 0, 0, 0, 0, 4036, 0, 624, 0, 2316, 0, 0, 0, -1836, 0, 0, 0, 0, 0, 4440, 0, 0, 0, 0, 0, 0, 0, 3940, 0, -340, 0, -6948, 0, 0, 0, 11348, 0, 0, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, -12, 0, -704, 0, -6200, 0, 0, 0, 1380, 0, 0, 0, 0, 0, -3120, 0, 0, 0, 0, 0, 0, 0, -864, 0, 3048, 0, 9788, 0, 0, 0, -36, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_nf • Show schema
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id: 738743
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1452.3.f.c', 'source_level': 1452, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1452.3.f.c', 'target_level': 1452, 'twist_class_label': '1452.3.f.c', 'twist_class_level': 1452, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 738744
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1452.3.f.c', 'source_level': 1452, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '1452.3.f.c', 'target_level': 1452, 'twist_class_label': '1452.3.f.c', 'twist_class_level': 1452, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 738745
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1452.3.f.c', 'source_level': 1452, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4356.3.f.h', 'target_level': 4356, 'twist_class_label': '1452.3.f.c', 'twist_class_level': 1452, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 738746
{'conductor': 33, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '1452.3.f.c', 'source_level': 1452, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '4356.3.f.h', 'target_level': 4356, 'twist_class_label': '1452.3.f.c', 'twist_class_level': 1452, 'twisting_char_label': '33.d', 'twisting_char_orbit': 4, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 1962600
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542902457772, 'p': 2}
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id: 1962601
{'charpoly_factorization': [[[-3, 0, 1], 4]], 'hecke_orbit_code': 9007542902457772, 'p': 3}
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id: 1962602
{'charpoly_factorization': [[[792, 84, -59, -4, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 5}
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id: 1962603
{'charpoly_factorization': [[[36, 0, 203484, 0, 11893, 0, 208, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 7}
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id: 1962604
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 9007542902457772, 'p': 11}
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id: 1962605
{'charpoly_factorization': [[[30492484, 0, 2744612, 0, 56925, 0, 416, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 13}
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id: 1962606
{'charpoly_factorization': [[[17915287104, 0, 213499728, 0, 896977, 0, 1588, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 17}
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id: 1962607
{'charpoly_factorization': [[[47997184, 0, 154698560, 0, 944865, 0, 1796, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 19}
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id: 1962608
{'charpoly_factorization': [[[404568, 4608, -1334, -10, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 23}
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id: 1962609
{'charpoly_factorization': [[[34199844624, 0, 523520208, 0, 1804033, 0, 2308, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 29}
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id: 1962610
{'charpoly_factorization': [[[-1296108, 101448, -1407, -48, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 31}
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id: 1962611
{'charpoly_factorization': [[[49221, -10404, -858, 12, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 37}
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id: 1962612
{'charpoly_factorization': [[[217980669456, 0, 6399745200, 0, 12298473, 0, 6444, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 41}
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id: 1962613
{'charpoly_factorization': [[[2776742318736, 0, 15029073120, 0, 19179256, 0, 8344, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 43}
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id: 1962614
{'charpoly_factorization': [[[264528, -74928, 5080, -124, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 47}
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id: 1962615
{'charpoly_factorization': [[[-6076908, 454524, -8135, -38, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 53}
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id: 1962616
{'charpoly_factorization': [[[24555672, 152232, -12638, -14, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 59}
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id: 1962617
{'charpoly_factorization': [[[8820436686084, 0, 377559067404, 0, 239093893, 0, 29152, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 61}
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id: 1962618
{'charpoly_factorization': [[[129006, -243342, -10349, -22, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 67}
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id: 1962619
{'charpoly_factorization': [[[-82623024, -2067480, -3882, 186, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 71}
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id: 1962620
{'charpoly_factorization': [[[2164815142325476, 0, 1872289287932, 0, 410716437, 0, 34496, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 73}
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id: 1962621
{'charpoly_factorization': [[[16002869349992704, 0, 6758064045248, 0, 965875137, 0, 53396, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 79}
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id: 1962622
{'charpoly_factorization': [[[20638049439744, 0, 227193265152, 0, 139707280, 0, 24304, 0, 1], 1]], 'hecke_orbit_code': 9007542902457772, 'p': 83}
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id: 1962623
{'charpoly_factorization': [[[-38609568, 1950840, -23183, -76, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 89}
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id: 1962624
{'charpoly_factorization': [[[3120549, 261198, -1082, -122, 1], 2]], 'hecke_orbit_code': 9007542902457772, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '1452.3.f.c', 'level': 1452, 'portrait': 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', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 30758221
{'hecke_orbit_code': 9007542902457772, 'n': 1, 'trace_an': 8}
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id: 30758222
{'hecke_orbit_code': 9007542902457772, 'n': 2, 'trace_an': 0}
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id: 30758223
{'hecke_orbit_code': 9007542902457772, 'n': 3, 'trace_an': 0}
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id: 30758224
{'hecke_orbit_code': 9007542902457772, 'n': 4, 'trace_an': 0}
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id: 30758225
{'hecke_orbit_code': 9007542902457772, 'n': 5, 'trace_an': 8}
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id: 30758226
{'hecke_orbit_code': 9007542902457772, 'n': 6, 'trace_an': 0}
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id: 30758227
{'hecke_orbit_code': 9007542902457772, 'n': 7, 'trace_an': 0}
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id: 30758228
{'hecke_orbit_code': 9007542902457772, 'n': 8, 'trace_an': 0}
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id: 30758229
{'hecke_orbit_code': 9007542902457772, 'n': 9, 'trace_an': 24}
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id: 30758230
{'hecke_orbit_code': 9007542902457772, 'n': 10, 'trace_an': 0}
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id: 30758231
{'hecke_orbit_code': 9007542902457772, 'n': 11, 'trace_an': 0}
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id: 30758232
{'hecke_orbit_code': 9007542902457772, 'n': 12, 'trace_an': 0}
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id: 30758233
{'hecke_orbit_code': 9007542902457772, 'n': 13, 'trace_an': 0}
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id: 30758234
{'hecke_orbit_code': 9007542902457772, 'n': 14, 'trace_an': 0}
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id: 30758235
{'hecke_orbit_code': 9007542902457772, 'n': 15, 'trace_an': 12}
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id: 30758236
{'hecke_orbit_code': 9007542902457772, 'n': 16, 'trace_an': 0}
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id: 30758237
{'hecke_orbit_code': 9007542902457772, 'n': 17, 'trace_an': 0}
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id: 30758238
{'hecke_orbit_code': 9007542902457772, 'n': 18, 'trace_an': 0}
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id: 30758239
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