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{'Nk2': 25200, 'analytic_conductor': 92.92800825904146, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [5, 1], [7, -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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 17, 'field_disc_factorization': [[17, 1]], 'field_poly': [-4, -1, 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, [8, 7, 1]], [11, [-256, -26, 1]], [13, [-2008, 14, 1]]], 'hecke_orbit': 13, 'hecke_orbit_code': 54043195595556391, 'hecke_ring_generator_nbound': 2, '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': '1575.4.a.m', 'level': 1575, '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, 7], 'level_radical': 105, 'minimal_twist': '105.4.a.c', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+(-3-\\beta )q^{2}+(5+7\\beta )q^{4}+7q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1575.4.a', 'trace_display': [-7, 0, 0, 14], 'trace_hash': 2174538860867026059, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.030', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.920', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.142', 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mf_hecke_nf • Show schema
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2, 'label': '1575.4.a.m', 'level': 1575, 'maxp': 2999, 'weight': 4}
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mf_newspaces • Show schema
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{'ALdims': [16, 10, 14, 18, 19, 22, 23, 21], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [6, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [74, 74, 70, 72, 65, 68, 67, 63], 'Nk2': 25200, 'analytic_conductor': 92.92800825904146, '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': [1575, 1, [1226, 127, 451], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 696, 'dim': 143, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 11, 13], 'hecke_orbit_code': 67110439, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 5, 5, 5, 5, 8, 8, 10, 10], 'label': '1575.4.a', 'level': 1575, '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, 7], 'level_radical': 105, 'mf_dim': 744, 'mf_new_dim': 143, 'num_forms': 47, 'plus_dim': 79, 'prim_orbit_index': 1, 'relative_dim': 143, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [-1, 0, 0, -7], 'traces': [143, -1, 0, 569, 0, 0, -7, 3, 0, 0, -108, 0, -128, 7, 0, 2469, -86, 0, -110, 0, 0, 256, 412, 0, 0, -1036, 0, -35, -410, 0, 324, -597, 0, 362, 0, 0, 86, 722, 0, 0, -274, 0, 240, -870, 0, 1406, 604, 0, 7007, 0, 0, -836, 394, 0, 0, -147, 0, -658, 562, 0, 296, -3516, 0, 9031, 0, 0, 156, -490, 0, 0, 2248, 0, -1026, 6316, 0, -738, 896, 0, 4260, 0, 0, 6650, 422, 0, 0, 4222, 0, 4204, 1530, 0, 196, 1368, 0, 10024, 0, 0, -1270, -49, 0, 0, 204, 0, 6596, 540, 0, 4718, 6032, 0, -3354, 0, 0, -959, -2734, 0, 0, -2548, 0, -5346, -994, 0, 14775, 2364, 0, 1180, 0, 0, 3752, -7717, 0, 0, -5054, 0, 210, 9826, 0, -4286, 1966, 0, 7270, 0, 0, 4020, -6208, 0, 0, 15270, 0, -4318, -686, 0, 8668, -6358, 0, 3318, 0, 0, -13728, 12260, 0, 0, -1680, 0, -6440, 14314, 0, -7126, -4692, 0, 32725, 0, 0, 22448, -2956, 0, 0, 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0, -295336, 64582, 0, 139724, 0, 0, 347548, -14888, 0, 0, -168936, 0, 67506, 252034, 0, -5390, -265166, 0, 24694, 0, 0, -173874, -104580, 0, 0, 13284, 0, -206032, -132106, 0, -578502, 36260, 0, 7928, 0, 0, -112630, 34478, 0, 0, -144264, 0, -374620, -6930, 0, 137663, 117624, 0, -690270, 0, 0, -50184, -62129, 0, 0, 81190, 0, -28266, -207522, 0, 581448, 229070, 0, 195492, 0, 0, -73204, 19052, 0, 0, -206044, 0, -56496, 56928, 0, 376420, -803868, 0, 131166, 0, 0, -88348, -239608, 0, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 763905
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '105.4.a.c', 'target_level': 105, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 763906
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '315.4.a.m', 'target_level': 315, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 763907
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '525.4.a.p', 'target_level': 525, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 763908
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 4, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '525.4.d.i', 'target_level': 525, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 4}
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id: 763909
{'conductor': 105, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '735.4.a.k', 'target_level': 735, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '105.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 763910
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1575.4.a.m', 'target_level': 1575, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 763911
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '1680.4.a.bk', 'target_level': 1680, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 763912
{'conductor': 35, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 13, 'source_is_minimal': False, 'source_label': '1575.4.a.m', 'source_level': 1575, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '2205.4.a.bh', 'target_level': 2205, 'twist_class_label': '105.4.a.c', 'twist_class_level': 105, 'twisting_char_label': '35.c', 'twisting_char_orbit': 3, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 2049475
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 2}
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id: 2049476
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195595556391, 'p': 3}
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id: 2049477
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 54043195595556391, 'p': 5}
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id: 2049478
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 54043195595556391, 'p': 7}
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id: 2049479
{'charpoly_factorization': [[[-256, -26, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 11}
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id: 2049480
{'charpoly_factorization': [[[-2008, 14, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 13}
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id: 2049481
{'charpoly_factorization': [[[-3268, -16, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 17}
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id: 2049482
{'charpoly_factorization': [[[4696, -174, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 19}
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id: 2049483
{'charpoly_factorization': [[[-4864, -184, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 23}
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id: 2049484
{'charpoly_factorization': [[[-29732, -32, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 29}
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id: 2049485
{'charpoly_factorization': [[[25848, -330, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 31}
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id: 2049486
{'charpoly_factorization': [[[1908, -132, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 37}
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id: 2049487
{'charpoly_factorization': [[[-73300, 200, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 41}
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id: 2049488
{'charpoly_factorization': [[[13472, 364, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 43}
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id: 2049489
{'charpoly_factorization': [[[-28256, -292, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 47}
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id: 2049490
{'charpoly_factorization': [[[-194344, -34, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 53}
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id: 2049491
{'charpoly_factorization': [[[27616, 364, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 59}
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id: 2049492
{'charpoly_factorization': [[[-113076, -792, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 61}
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id: 2049493
{'charpoly_factorization': [[[151904, -788, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 67}
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id: 2049494
{'charpoly_factorization': [[[-411296, 454, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 71}
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id: 2049495
{'charpoly_factorization': [[[16664, 778, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 73}
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id: 2049496
{'charpoly_factorization': [[[8704, -408, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 79}
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id: 2049497
{'charpoly_factorization': [[[26416, -1136, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 83}
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id: 2049498
{'charpoly_factorization': [[[-2252108, 36, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 89}
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id: 2049499
{'charpoly_factorization': [[[-28592, -498, 1], 1]], 'hecke_orbit_code': 54043195595556391, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 13, 'label': '1575.4.a.m', 'level': 1575, 'portrait': 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', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 57950131
{'hecke_orbit_code': 54043195595556391, 'n': 1, 'trace_an': 2}
-
id: 57950132
{'hecke_orbit_code': 54043195595556391, 'n': 2, 'trace_an': -7}
-
id: 57950133
{'hecke_orbit_code': 54043195595556391, 'n': 3, 'trace_an': 0}
-
id: 57950134
{'hecke_orbit_code': 54043195595556391, 'n': 4, 'trace_an': 17}
-
id: 57950135
{'hecke_orbit_code': 54043195595556391, 'n': 5, 'trace_an': 0}
-
id: 57950136
{'hecke_orbit_code': 54043195595556391, 'n': 6, 'trace_an': 0}
-
id: 57950137
{'hecke_orbit_code': 54043195595556391, 'n': 7, 'trace_an': 14}
-
id: 57950138
{'hecke_orbit_code': 54043195595556391, 'n': 8, 'trace_an': -63}
-
id: 57950139
{'hecke_orbit_code': 54043195595556391, 'n': 9, 'trace_an': 0}
-
id: 57950140
{'hecke_orbit_code': 54043195595556391, 'n': 10, 'trace_an': 0}
-
id: 57950141
{'hecke_orbit_code': 54043195595556391, 'n': 11, 'trace_an': 26}
-
id: 57950142
{'hecke_orbit_code': 54043195595556391, 'n': 12, 'trace_an': 0}
-
id: 57950143
{'hecke_orbit_code': 54043195595556391, 'n': 13, 'trace_an': -14}
-
id: 57950144
{'hecke_orbit_code': 54043195595556391, 'n': 14, 'trace_an': -49}
-
id: 57950145
{'hecke_orbit_code': 54043195595556391, 'n': 15, 'trace_an': 0}
-
id: 57950146
{'hecke_orbit_code': 54043195595556391, 'n': 16, 'trace_an': 297}
-
id: 57950147
{'hecke_orbit_code': 54043195595556391, 'n': 17, 'trace_an': 16}
-
id: 57950148
{'hecke_orbit_code': 54043195595556391, 'n': 18, 'trace_an': 0}
-
id: 57950149
{'hecke_orbit_code': 54043195595556391, 'n': 19, 'trace_an': 174}
-
id: 57950150
{'hecke_orbit_code': 54043195595556391, 'n': 20, 'trace_an': 0}
-
id: 57950151
{'hecke_orbit_code': 54043195595556391, 'n': 21, 'trace_an': 0}
-
id: 57950152
{'hecke_orbit_code': 54043195595556391, 'n': 22, 'trace_an': -176}
-
id: 57950153
{'hecke_orbit_code': 54043195595556391, 'n': 23, 'trace_an': 184}
-
id: 57950154
{'hecke_orbit_code': 54043195595556391, 'n': 24, 'trace_an': 0}
-
id: 57950155
{'hecke_orbit_code': 54043195595556391, 'n': 25, 'trace_an': 0}
-
id: 57950156
{'hecke_orbit_code': 54043195595556391, 'n': 26, 'trace_an': -138}
-
id: 57950157
{'hecke_orbit_code': 54043195595556391, 'n': 27, 'trace_an': 0}
-
id: 57950158
{'hecke_orbit_code': 54043195595556391, 'n': 28, 'trace_an': 119}
-
id: 57950159
{'hecke_orbit_code': 54043195595556391, 'n': 29, 'trace_an': 32}
-
id: 57950160
{'hecke_orbit_code': 54043195595556391, 'n': 30, 'trace_an': 0}
-
id: 57950161
{'hecke_orbit_code': 54043195595556391, 'n': 31, 'trace_an': 330}
-
id: 57950162
{'hecke_orbit_code': 54043195595556391, 'n': 32, 'trace_an': -1071}
-
id: 57950163
{'hecke_orbit_code': 54043195595556391, 'n': 33, 'trace_an': 0}
-
id: 57950164
{'hecke_orbit_code': 54043195595556391, 'n': 34, 'trace_an': -294}
-
id: 57950165
{'hecke_orbit_code': 54043195595556391, 'n': 35, 'trace_an': 0}
-
id: 57950166
{'hecke_orbit_code': 54043195595556391, 'n': 36, 'trace_an': 0}
-
id: 57950167
{'hecke_orbit_code': 54043195595556391, 'n': 37, 'trace_an': 132}
-
id: 57950168
{'hecke_orbit_code': 54043195595556391, 'n': 38, 'trace_an': -388}
-
id: 57950169
{'hecke_orbit_code': 54043195595556391, 'n': 39, 'trace_an': 0}
-
id: 57950170
{'hecke_orbit_code': 54043195595556391, 'n': 40, 'trace_an': 0}
-
id: 57950171
{'hecke_orbit_code': 54043195595556391, 'n': 41, 'trace_an': -200}
-
id: 57950172
{'hecke_orbit_code': 54043195595556391, 'n': 42, 'trace_an': 0}
-
id: 57950173
{'hecke_orbit_code': 54043195595556391, 'n': 43, 'trace_an': -364}
-
id: 57950174
{'hecke_orbit_code': 54043195595556391, 'n': 44, 'trace_an': 816}
-
id: 57950175
{'hecke_orbit_code': 54043195595556391, 'n': 45, 'trace_an': 0}
-
id: 57950176
{'hecke_orbit_code': 54043195595556391, 'n': 46, 'trace_an': -1120}
-
id: 57950177
{'hecke_orbit_code': 54043195595556391, 'n': 47, 'trace_an': 292}
-
id: 57950178
{'hecke_orbit_code': 54043195595556391, 'n': 48, 'trace_an': 0}
-
id: 57950179
{'hecke_orbit_code': 54043195595556391, 'n': 49, 'trace_an': 98}
-
id: 57950180
{'hecke_orbit_code': 54043195595556391, 'n': 50, 'trace_an': 0}
-
id: 57950181
{'hecke_orbit_code': 54043195595556391, 'n': 51, 'trace_an': 0}
-
id: 57950182
{'hecke_orbit_code': 54043195595556391, 'n': 52, 'trace_an': 1190}
-
id: 57950183
{'hecke_orbit_code': 54043195595556391, 'n': 53, 'trace_an': 34}
-
id: 57950184
{'hecke_orbit_code': 54043195595556391, 'n': 54, 'trace_an': 0}
-
id: 57950185
{'hecke_orbit_code': 54043195595556391, 'n': 55, 'trace_an': 0}
-
id: 57950186
{'hecke_orbit_code': 54043195595556391, 'n': 56, 'trace_an': -441}
-
id: 57950187
{'hecke_orbit_code': 54043195595556391, 'n': 57, 'trace_an': 0}
-
id: 57950188
{'hecke_orbit_code': 54043195595556391, 'n': 58, 'trace_an': -826}
-
id: 57950189
{'hecke_orbit_code': 54043195595556391, 'n': 59, 'trace_an': -364}
-
id: 57950190
{'hecke_orbit_code': 54043195595556391, 'n': 60, 'trace_an': 0}
-
id: 57950191
{'hecke_orbit_code': 54043195595556391, 'n': 61, 'trace_an': 792}
-
id: 57950192
{'hecke_orbit_code': 54043195595556391, 'n': 62, 'trace_an': -1308}
-
id: 57950193
{'hecke_orbit_code': 54043195595556391, 'n': 63, 'trace_an': 0}
-
id: 57950194
{'hecke_orbit_code': 54043195595556391, 'n': 64, 'trace_an': 2809}
-
id: 57950195
{'hecke_orbit_code': 54043195595556391, 'n': 65, 'trace_an': 0}
-
id: 57950196
{'hecke_orbit_code': 54043195595556391, 'n': 66, 'trace_an': 0}
-
id: 57950197
{'hecke_orbit_code': 54043195595556391, 'n': 67, 'trace_an': 788}
-
id: 57950198
{'hecke_orbit_code': 54043195595556391, 'n': 68, 'trace_an': 1802}
-
id: 57950199
{'hecke_orbit_code': 54043195595556391, 'n': 69, 'trace_an': 0}
-
id: 57950200
{'hecke_orbit_code': 54043195595556391, 'n': 70, 'trace_an': 0}
-
id: 57950201
{'hecke_orbit_code': 54043195595556391, 'n': 71, 'trace_an': -454}
-
id: 57950202
{'hecke_orbit_code': 54043195595556391, 'n': 72, 'trace_an': 0}
-
id: 57950203
{'hecke_orbit_code': 54043195595556391, 'n': 73, 'trace_an': -778}
-
id: 57950204
{'hecke_orbit_code': 54043195595556391, 'n': 74, 'trace_an': -258}
-
id: 57950205
{'hecke_orbit_code': 54043195595556391, 'n': 75, 'trace_an': 0}
-
id: 57950206
{'hecke_orbit_code': 54043195595556391, 'n': 76, 'trace_an': -68}
-
id: 57950207
{'hecke_orbit_code': 54043195595556391, 'n': 77, 'trace_an': 182}
-
id: 57950208
{'hecke_orbit_code': 54043195595556391, 'n': 78, 'trace_an': 0}
-
id: 57950209
{'hecke_orbit_code': 54043195595556391, 'n': 79, 'trace_an': 408}
-
id: 57950210
{'hecke_orbit_code': 54043195595556391, 'n': 80, 'trace_an': 0}
-
id: 57950211
{'hecke_orbit_code': 54043195595556391, 'n': 81, 'trace_an': 0}
-
id: 57950212
{'hecke_orbit_code': 54043195595556391, 'n': 82, 'trace_an': 1890}
-
id: 57950213
{'hecke_orbit_code': 54043195595556391, 'n': 83, 'trace_an': 1136}
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