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{'Nk2': 19456, 'analytic_conductor': 38.83923554315078, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [19, -1]], 'atkin_lehner_string': '--', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [4864, 1, [3839, 2053, 4353], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 8, 'field_disc': 323098525696, 'field_disc_factorization': [[2, 14], [1319, 1], [14951, 1]], 'field_poly': [16, 32, -62, -68, 48, 24, -13, -2, 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': [[3, [72, 32, -196, -8, 101, 0, -18, 0, 1]], [5, [-288, -368, 388, 280, -119, -80, 6, 8, 1]], [7, [-313, -328, 946, 948, 80, -128, -26, 4, 1]], [11, [-256, 128, 1152, -1272, 201, 148, -34, -4, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385501008640, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 8, 'hecke_ring_index_factorization': [[2, 3]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4864.2.a.bn', 'level': 4864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'minimal_twist': '152.2.c.b', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{5}q^{3}+(-1+\\beta _{2})q^{5}-\\beta _{4}q^{7}+(1+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 8, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4864.2.a', 'trace_display': [0, 0, -8, -4], 'trace_hash': 1871167102027070418, 'trace_moments': 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'weight': 2, 'weight_parity': 1}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [19, -1]], 32, 11], [[[2, 1], [19, -1]], 40, 12], [[[2, 1], [19, 1]], 34, 11], [[[2, -1], [19, 1]], 38, 12]], 'ALdims': [34, 40, 38, 32], 'Nk2': 19456, 'analytic_conductor': 38.83923554315078, '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': [4864, 1, [3839, 2053, 4353], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 617, 'dim': 144, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 11], 'hecke_orbit_code': 33559296, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 8, 8, 8, 8, 8, 8, 10, 10], 'label': '4864.2.a', 'level': 4864, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 19], 'level_radical': 38, 'mf_dim': 664, 'mf_new_dim': 144, 'num_forms': 46, 'plus_dim': 66, 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mf_twists_cc • Show schema
Hide schema
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id: 48921084
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 175640385501008640, 'target_is_minimal': False, 'target_label': '4864.2.a.bn.1.8', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48921085
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 180143985128379136, 'target_is_minimal': False, 'target_label': '4864.2.a.bo.1.1', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48921086
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 189151184383120128, 'target_is_minimal': False, 'target_label': '4864.2.a.bq.1.8', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48921087
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 184647584755749632, 'target_is_minimal': False, 'target_label': '4864.2.a.bp.1.1', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48921088
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 77, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4503737099878552, 'target_is_minimal': True, 'target_label': '152.2.c.b.77.6', 'target_level': 152, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48921089
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503737099879008, 'target_is_minimal': False, 'target_label': '608.2.c.b.305.1', 'target_level': 608, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48921090
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 77, 'target_dim': 16, 'target_embedding_index': 5, 'target_hecke_orbit_code': 4503737099878552, 'target_is_minimal': True, 'target_label': '152.2.c.b.77.5', 'target_level': 152, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48921091
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 16, 'target_hecke_orbit_code': 4503737099879008, 'target_is_minimal': False, 'target_label': '608.2.c.b.305.16', 'target_level': 608, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48921092
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 2737, 'target_dim': 16, 'target_embedding_index': 9, 'target_hecke_orbit_code': 4504011977790816, 'target_is_minimal': False, 'target_label': '5472.2.g.b.2737.9', 'target_level': 5472, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48921093
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 685, 'target_dim': 16, 'target_embedding_index': 12, 'target_hecke_orbit_code': 4504011977786712, 'target_is_minimal': False, 'target_label': '1368.2.g.b.685.12', 'target_level': 1368, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48921094
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 2737, 'target_dim': 16, 'target_embedding_index': 8, 'target_hecke_orbit_code': 4504011977790816, 'target_is_minimal': False, 'target_label': '5472.2.g.b.2737.8', 'target_level': 5472, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48921095
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 175640385501008640, 'source_is_minimal': False, 'source_label': '4864.2.a.bn.1.8', 'source_level': 4864, 'target_conrey_index': 685, 'target_dim': 16, 'target_embedding_index': 11, 'target_hecke_orbit_code': 4504011977786712, 'target_is_minimal': False, 'target_label': '1368.2.g.b.685.11', 'target_level': 1368, 'twist_class_label': '152.2.c.b.77.5', 'twist_class_level': 152, 'twisting_char_label': '48.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3730000
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 175640385501008640, 'p': 2}
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id: 3730001
{'charpoly_factorization': [[[72, 32, -196, -8, 101, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 3}
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id: 3730002
{'charpoly_factorization': [[[-288, -368, 388, 280, -119, -80, 6, 8, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 5}
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id: 3730003
{'charpoly_factorization': [[[-313, -328, 946, 948, 80, -128, -26, 4, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 7}
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id: 3730004
{'charpoly_factorization': [[[-256, 128, 1152, -1272, 201, 148, -34, -4, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 11}
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id: 3730005
{'charpoly_factorization': [[[-512, -2560, -480, 1792, 107, -244, -24, 8, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 13}
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id: 3730006
{'charpoly_factorization': [[[9409, -2556, -8140, 2300, 1366, -260, -76, 4, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 17}
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id: 3730007
{'charpoly_factorization': [[[-1, 1], 8]], 'hecke_orbit_code': 175640385501008640, 'p': 19}
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id: 3730008
{'charpoly_factorization': [[[155824, 67168, -63784, -4584, 4807, 76, -124, 0, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 23}
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id: 3730009
{'charpoly_factorization': [[[2936, 2432, -5556, -5960, -453, 888, 268, 28, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 29}
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id: 3730010
{'charpoly_factorization': [[[7552, -7168, -3136, 2944, 664, -304, -52, 8, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 31}
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id: 3730011
{'charpoly_factorization': [[[256, 3840, 7136, 4064, 184, -368, -64, 4, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 37}
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id: 3730012
{'charpoly_factorization': [[[-3072, 32768, -65376, 15360, 4440, -832, -128, 8, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 41}
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id: 3730013
{'charpoly_factorization': [[[1184, -5008, -964, 5424, 2025, -316, -94, 4, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 43}
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id: 3730014
{'charpoly_factorization': [[[34432, -189984, 48964, 34420, -3183, -2208, -146, 12, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 47}
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id: 3730015
{'charpoly_factorization': [[[-363592, -524592, -291436, -72952, -4893, 1516, 372, 32, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 53}
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id: 3730016
{'charpoly_factorization': [[[52176, 200608, -15880, -38568, 2309, 1604, -126, -12, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 59}
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id: 3730017
{'charpoly_factorization': [[[-3258128, 5530496, -1386800, -60904, 40401, -992, -334, 8, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 61}
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id: 3730018
{'charpoly_factorization': [[[-69752, 201520, -134364, 352, 12717, -580, -234, 4, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 67}
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id: 3730019
{'charpoly_factorization': [[[-9153024, 1548544, 697152, -128256, -13424, 3152, 12, -24, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 71}
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id: 3730020
{'charpoly_factorization': [[[6637913, 1197040, -719468, -64672, 26830, 560, -316, 0, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 73}
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id: 3730021
{'charpoly_factorization': [[[-70912, 13440, 83488, -4608, -12616, 1984, 64, -24, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 79}
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id: 3730022
{'charpoly_factorization': [[[151552, 10240, -136960, 53504, 1280, -3328, 580, -40, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 83}
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id: 3730023
{'charpoly_factorization': [[[-400128, -70528, 724960, -307520, 25592, 3040, -352, -8, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 89}
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id: 3730024
{'charpoly_factorization': [[[8192, 61440, -74752, -38400, 22432, 3504, -292, -16, 1], 1]], 'hecke_orbit_code': 175640385501008640, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '4864.2.a.bn', 'level': 4864, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 272931000
{'hecke_orbit_code': 175640385501008640, 'n': 1, 'trace_an': 8}
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id: 272931001
{'hecke_orbit_code': 175640385501008640, 'n': 2, 'trace_an': 0}
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id: 272931002
{'hecke_orbit_code': 175640385501008640, 'n': 3, 'trace_an': 0}
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id: 272931003
{'hecke_orbit_code': 175640385501008640, 'n': 4, 'trace_an': 0}
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id: 272931004
{'hecke_orbit_code': 175640385501008640, 'n': 5, 'trace_an': -8}
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id: 272931005
{'hecke_orbit_code': 175640385501008640, 'n': 6, 'trace_an': 0}
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id: 272931006
{'hecke_orbit_code': 175640385501008640, 'n': 7, 'trace_an': -4}
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id: 272931007
{'hecke_orbit_code': 175640385501008640, 'n': 8, 'trace_an': 0}
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id: 272931008
{'hecke_orbit_code': 175640385501008640, 'n': 9, 'trace_an': 12}
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id: 272931009
{'hecke_orbit_code': 175640385501008640, 'n': 10, 'trace_an': 0}
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id: 272931010
{'hecke_orbit_code': 175640385501008640, 'n': 11, 'trace_an': 4}
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id: 272931011
{'hecke_orbit_code': 175640385501008640, 'n': 12, 'trace_an': 0}
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id: 272931012
{'hecke_orbit_code': 175640385501008640, 'n': 13, 'trace_an': -8}
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id: 272931013
{'hecke_orbit_code': 175640385501008640, 'n': 14, 'trace_an': 0}
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id: 272931014
{'hecke_orbit_code': 175640385501008640, 'n': 15, 'trace_an': 0}
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id: 272931015
{'hecke_orbit_code': 175640385501008640, 'n': 16, 'trace_an': 0}
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id: 272931016
{'hecke_orbit_code': 175640385501008640, 'n': 17, 'trace_an': -4}
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id: 272931017
{'hecke_orbit_code': 175640385501008640, 'n': 18, 'trace_an': 0}
-
id: 272931018
{'hecke_orbit_code': 175640385501008640, 'n': 19, 'trace_an': 8}
-
id: 272931019
{'hecke_orbit_code': 175640385501008640, 'n': 20, 'trace_an': 0}
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id: 272931020
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id: 272931980
{'hecke_orbit_code': 175640385501008640, 'n': 981, 'trace_an': -88}
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id: 272931981
{'hecke_orbit_code': 175640385501008640, 'n': 982, 'trace_an': 0}
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id: 272931982
{'hecke_orbit_code': 175640385501008640, 'n': 983, 'trace_an': -40}
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id: 272931983
{'hecke_orbit_code': 175640385501008640, 'n': 984, 'trace_an': 0}
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id: 272931984
{'hecke_orbit_code': 175640385501008640, 'n': 985, 'trace_an': -40}
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id: 272931985
{'hecke_orbit_code': 175640385501008640, 'n': 986, 'trace_an': 0}
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id: 272931986
{'hecke_orbit_code': 175640385501008640, 'n': 987, 'trace_an': 108}
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id: 272931987
{'hecke_orbit_code': 175640385501008640, 'n': 988, 'trace_an': 0}
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id: 272931988
{'hecke_orbit_code': 175640385501008640, 'n': 989, 'trace_an': -40}
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id: 272931989
{'hecke_orbit_code': 175640385501008640, 'n': 990, 'trace_an': 0}
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id: 272931990
{'hecke_orbit_code': 175640385501008640, 'n': 991, 'trace_an': 64}
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id: 272931991
{'hecke_orbit_code': 175640385501008640, 'n': 992, 'trace_an': 0}
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id: 272931992
{'hecke_orbit_code': 175640385501008640, 'n': 993, 'trace_an': 48}
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id: 272931993
{'hecke_orbit_code': 175640385501008640, 'n': 994, 'trace_an': 0}
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id: 272931994
{'hecke_orbit_code': 175640385501008640, 'n': 995, 'trace_an': -92}
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id: 272931995
{'hecke_orbit_code': 175640385501008640, 'n': 996, 'trace_an': 0}
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id: 272931996
{'hecke_orbit_code': 175640385501008640, 'n': 997, 'trace_an': 184}
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id: 272931997
{'hecke_orbit_code': 175640385501008640, 'n': 998, 'trace_an': 0}
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id: 272931998
{'hecke_orbit_code': 175640385501008640, 'n': 999, 'trace_an': -132}
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id: 272931999
{'hecke_orbit_code': 175640385501008640, 'n': 1000, 'trace_an': 0}