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{'Nk2': 19456, 'analytic_conductor': 38.83923554315078, 'analytic_rank': 0, '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': 42, 'hecke_orbit_code': 184647584755749632, '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.bp', '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-\\beta _{7})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': 1790018772754326820, 'trace_moments': 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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: 48949451
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 184647584755749632, 'target_is_minimal': False, 'target_label': '4864.2.a.bp.1.8', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48949452
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 189151184383120128, 'target_is_minimal': False, 'target_label': '4864.2.a.bq.1.1', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48949453
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 8, 'target_hecke_orbit_code': 180143985128379136, 'target_is_minimal': False, 'target_label': '4864.2.a.bo.1.8', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '8.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48949454
{'conductor': 8, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 1, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 175640385501008640, 'target_is_minimal': False, 'target_label': '4864.2.a.bn.1.1', 'target_level': 4864, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '8.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48949455
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 77, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4503737099878552, 'target_is_minimal': True, 'target_label': '152.2.c.b.77.3', 'target_level': 152, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '16.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48949456
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4503737099879008, 'target_is_minimal': False, 'target_label': '608.2.c.b.305.2', 'target_level': 608, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '16.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48949457
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 77, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4503737099878552, 'target_is_minimal': True, 'target_label': '152.2.c.b.77.4', 'target_level': 152, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '16.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48949458
{'conductor': 16, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 305, 'target_dim': 16, 'target_embedding_index': 15, 'target_hecke_orbit_code': 4503737099879008, 'target_is_minimal': False, 'target_label': '608.2.c.b.305.15', 'target_level': 608, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '16.13', 'twisting_conrey_index': 13, 'weight': 2}
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id: 48949459
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 2737, 'target_dim': 16, 'target_embedding_index': 4, 'target_hecke_orbit_code': 4504011977790816, 'target_is_minimal': False, 'target_label': '5472.2.g.b.2737.4', 'target_level': 5472, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '48.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48949460
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 685, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 4504011977786712, 'target_is_minimal': False, 'target_label': '1368.2.g.b.685.13', 'target_level': 1368, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '48.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48949461
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 2737, 'target_dim': 16, 'target_embedding_index': 13, 'target_hecke_orbit_code': 4504011977790816, 'target_is_minimal': False, 'target_label': '5472.2.g.b.2737.13', 'target_level': 5472, 'twist_class_label': '152.2.c.b.77.3', 'twist_class_level': 152, 'twisting_char_label': '48.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 48949462
{'conductor': 48, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 8, 'source_embedding_index': 8, 'source_hecke_orbit_code': 184647584755749632, 'source_is_minimal': False, 'source_label': '4864.2.a.bp.1.8', 'source_level': 4864, 'target_conrey_index': 685, 'target_dim': 16, 'target_embedding_index': 14, 'target_hecke_orbit_code': 4504011977786712, 'target_is_minimal': False, 'target_label': '1368.2.g.b.685.14', 'target_level': 1368, 'twist_class_label': '152.2.c.b.77.3', '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: 3730050
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 184647584755749632, 'p': 2}
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id: 3730051
{'charpoly_factorization': [[[72, -32, -196, 8, 101, 0, -18, 0, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 3}
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id: 3730052
{'charpoly_factorization': [[[-288, 368, 388, -280, -119, 80, 6, -8, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 5}
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id: 3730053
{'charpoly_factorization': [[[-313, -328, 946, 948, 80, -128, -26, 4, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 7}
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id: 3730054
{'charpoly_factorization': [[[-256, -128, 1152, 1272, 201, -148, -34, 4, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 11}
-
id: 3730055
{'charpoly_factorization': [[[-512, 2560, -480, -1792, 107, 244, -24, -8, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 13}
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id: 3730056
{'charpoly_factorization': [[[9409, -2556, -8140, 2300, 1366, -260, -76, 4, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 17}
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id: 3730057
{'charpoly_factorization': [[[1, 1], 8]], 'hecke_orbit_code': 184647584755749632, 'p': 19}
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id: 3730058
{'charpoly_factorization': [[[155824, 67168, -63784, -4584, 4807, 76, -124, 0, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 23}
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id: 3730059
{'charpoly_factorization': [[[2936, -2432, -5556, 5960, -453, -888, 268, -28, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 29}
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id: 3730060
{'charpoly_factorization': [[[7552, -7168, -3136, 2944, 664, -304, -52, 8, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 31}
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id: 3730061
{'charpoly_factorization': [[[256, -3840, 7136, -4064, 184, 368, -64, -4, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 37}
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id: 3730062
{'charpoly_factorization': [[[-3072, 32768, -65376, 15360, 4440, -832, -128, 8, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 41}
-
id: 3730063
{'charpoly_factorization': [[[1184, 5008, -964, -5424, 2025, 316, -94, -4, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 43}
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id: 3730064
{'charpoly_factorization': [[[34432, -189984, 48964, 34420, -3183, -2208, -146, 12, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 47}
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id: 3730065
{'charpoly_factorization': [[[-363592, 524592, -291436, 72952, -4893, -1516, 372, -32, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 53}
-
id: 3730066
{'charpoly_factorization': [[[52176, -200608, -15880, 38568, 2309, -1604, -126, 12, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 59}
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id: 3730067
{'charpoly_factorization': [[[-3258128, -5530496, -1386800, 60904, 40401, 992, -334, -8, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 61}
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id: 3730068
{'charpoly_factorization': [[[-69752, -201520, -134364, -352, 12717, 580, -234, -4, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 67}
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id: 3730069
{'charpoly_factorization': [[[-9153024, 1548544, 697152, -128256, -13424, 3152, 12, -24, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 71}
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id: 3730070
{'charpoly_factorization': [[[6637913, 1197040, -719468, -64672, 26830, 560, -316, 0, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 73}
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id: 3730071
{'charpoly_factorization': [[[-70912, 13440, 83488, -4608, -12616, 1984, 64, -24, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 79}
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id: 3730072
{'charpoly_factorization': [[[151552, -10240, -136960, -53504, 1280, 3328, 580, 40, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 83}
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id: 3730073
{'charpoly_factorization': [[[-400128, -70528, 724960, -307520, 25592, 3040, -352, -8, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 89}
-
id: 3730074
{'charpoly_factorization': [[[8192, 61440, -74752, -38400, 22432, 3504, -292, -16, 1], 1]], 'hecke_orbit_code': 184647584755749632, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '4864.2.a.bp', 'level': 4864, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 274005000
{'hecke_orbit_code': 184647584755749632, 'n': 1, 'trace_an': 8}
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id: 274005001
{'hecke_orbit_code': 184647584755749632, 'n': 2, 'trace_an': 0}
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id: 274005002
{'hecke_orbit_code': 184647584755749632, 'n': 3, 'trace_an': 0}
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id: 274005003
{'hecke_orbit_code': 184647584755749632, 'n': 4, 'trace_an': 0}
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id: 274005004
{'hecke_orbit_code': 184647584755749632, 'n': 5, 'trace_an': 8}
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id: 274005005
{'hecke_orbit_code': 184647584755749632, 'n': 6, 'trace_an': 0}
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id: 274005006
{'hecke_orbit_code': 184647584755749632, 'n': 7, 'trace_an': -4}
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id: 274005007
{'hecke_orbit_code': 184647584755749632, 'n': 8, 'trace_an': 0}
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id: 274005008
{'hecke_orbit_code': 184647584755749632, 'n': 9, 'trace_an': 12}
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id: 274005009
{'hecke_orbit_code': 184647584755749632, 'n': 10, 'trace_an': 0}
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id: 274005010
{'hecke_orbit_code': 184647584755749632, 'n': 11, 'trace_an': -4}
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id: 274005011
{'hecke_orbit_code': 184647584755749632, 'n': 12, 'trace_an': 0}
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id: 274005012
{'hecke_orbit_code': 184647584755749632, 'n': 13, 'trace_an': 8}
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id: 274005013
{'hecke_orbit_code': 184647584755749632, 'n': 14, 'trace_an': 0}
-
id: 274005014
{'hecke_orbit_code': 184647584755749632, 'n': 15, 'trace_an': 0}
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id: 274005015
{'hecke_orbit_code': 184647584755749632, 'n': 16, 'trace_an': 0}
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id: 274005016
{'hecke_orbit_code': 184647584755749632, 'n': 17, 'trace_an': -4}
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id: 274005017
{'hecke_orbit_code': 184647584755749632, 'n': 18, 'trace_an': 0}
-
id: 274005018
{'hecke_orbit_code': 184647584755749632, 'n': 19, 'trace_an': -8}
-
id: 274005019
{'hecke_orbit_code': 184647584755749632, 'n': 20, 'trace_an': 0}
-
id: 274005020
{'hecke_orbit_code': 184647584755749632, 'n': 21, 'trace_an': 16}
-
id: 274005021
{'hecke_orbit_code': 184647584755749632, 'n': 22, 'trace_an': 0}
-
id: 274005022
{'hecke_orbit_code': 184647584755749632, 'n': 23, 'trace_an': 0}
-
id: 274005023
{'hecke_orbit_code': 184647584755749632, 'n': 24, 'trace_an': 0}
-
id: 274005024
{'hecke_orbit_code': 184647584755749632, 'n': 25, 'trace_an': 12}
-
id: 274005025
{'hecke_orbit_code': 184647584755749632, 'n': 26, 'trace_an': 0}
-
id: 274005026
{'hecke_orbit_code': 184647584755749632, 'n': 27, 'trace_an': 0}
-
id: 274005027
{'hecke_orbit_code': 184647584755749632, 'n': 28, 'trace_an': 0}
-
id: 274005028
{'hecke_orbit_code': 184647584755749632, 'n': 29, 'trace_an': 28}
-
id: 274005029
{'hecke_orbit_code': 184647584755749632, 'n': 30, 'trace_an': 0}
-
id: 274005030
{'hecke_orbit_code': 184647584755749632, 'n': 31, 'trace_an': -8}
-
id: 274005031
{'hecke_orbit_code': 184647584755749632, 'n': 32, 'trace_an': 0}
-
id: 274005032
{'hecke_orbit_code': 184647584755749632, 'n': 33, 'trace_an': 0}
-
id: 274005033
{'hecke_orbit_code': 184647584755749632, 'n': 34, 'trace_an': 0}
-
id: 274005034
{'hecke_orbit_code': 184647584755749632, 'n': 35, 'trace_an': 12}
-
id: 274005035
{'hecke_orbit_code': 184647584755749632, 'n': 36, 'trace_an': 0}
-
id: 274005036
{'hecke_orbit_code': 184647584755749632, 'n': 37, 'trace_an': 4}
-
id: 274005037
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