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{'Nk2': 16640, 'analytic_conductor': 33.21776724085264, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [13, -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': [4160, 1, [4031, 261, 2497, 1601], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 2048, 'field_disc_factorization': [[2, 11]], 'field_poly': [2, 0, -4, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 16, 'fricke_eigenval': -1, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [8, 0, -8, 0, 1]], [7, [32, 0, -16, 0, 1]], [11, [8, 0, -8, 0, 1]], [17, [-28, 4, 1]], [19, [8, 0, -8, 0, 1]]], 'hecke_orbit': 47, 'hecke_orbit_code': 207165582892601408, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, 0]], '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': '4160.2.a.bu', 'level': 4160, '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, 5, 13], 'level_radical': 130, 'minimal_twist': '2080.2.a.q', 'nf_label': '4.4.2048.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+q^{5}+(\\beta _{1}+\\beta _{2})q^{7}+(1+\\beta _{3})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4160.2.a', 'trace_display': [0, 0, 4, 0], 'trace_hash': 347038198295266379, 'trace_moments': 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mf_hecke_nf • Show schema
Hide schema
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mf_newspaces • Show schema
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{'ALdims': [12, 14, 14, 8, 12, 10, 10, 16], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [65, 70, 70, 68, 74, 68, 68, 70], 'Nk2': 16640, 'analytic_conductor': 33.21776724085264, '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': [4160, 1, [4031, 261, 2497, 1601], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 649, 'dim': 96, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 17, 19], 'hecke_orbit_code': 33558592, 'hecke_orbit_dims': [1, 1, 1, 1, 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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4], 'label': '4160.2.a', 'level': 4160, '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, 5, 13], 'level_radical': 130, 'mf_dim': 696, 'mf_new_dim': 96, 'num_forms': 50, 'plus_dim': 40, 'prim_orbit_index': 1, 'relative_dim': 96, 'sturm_bound': 1344, 'trace_bound': 29, 'trace_display': [0, 0, 0, 0], 'traces': [96, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, -32, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 192, 0, 0, 0, 64, 0, 0, 0, 160, 0, 0, 0, -64, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, -96, 0, 0, 0, 64, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, 160, 0, 0, 0, 96, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, -288, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, -32, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, 160, 0, 0, 0, 32, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, -96, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -288, 0, 0, 0, -32, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -64, 0, 0, 0, -160, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -288, 0, 0, 0, -96, 0, 0, 0, -448, 0, 0, 0, 0, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -192, 0, 0, 0, -128, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 288, 0, 0, 0, 64, 0, 0, 0, -352, 0, 0, 0, -128, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, -32, 0, 0, 0, 224, 0, 0, 0, 64, 0, 0, 0, 0, 0, 0, 0, 160, 0, 0, 0, -96, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 128, 0, 0, 0, -32, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -32, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 256, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 0, 0, 0, 0, 352, 0, 0, 0, -64, 0, 0, 0, 256, 0, 0, 0, -256, 0, 0, 0, -64, 0, 0, 0, 0, 0, 0, 0, 384, 0, 0, 0, 128, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 320, 0, 0, 0, 96, 0, 0, 0, 32, 0, 0, 0, 288, 0, 0, 0, -96, 0, 0, 0, -320, 0, 0, 0, 160, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, -224, 0, 0, 0, -160, 0, 0, 0, -256, 0, 0, 0, 128, 0, 0, 0, 32, 0, 0, 0, -576, 0, 0, 0, -320, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 288, 0, 0, 0, 0, 0, 0, 0, -128, 0, 0, 0, -352, 0, 0, 0, -96, 0, 0, 0, -64, 0, 0, 0, -224, 0, 0, 0, 288, 0, 0, 0, -544, 0, 0, 0, 32, 0, 0, 0, -160, 0, 0, 0, -320, 0, 0, 0, -32, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, -64, 0, 0, 0, -384, 0, 0, 0, -64, 0, 0, 0, 96, 0, 0, 0, -448, 0, 0, 0, 64, 0, 0, 0, 64, 0, 0, 0, 224, 0, 0, 0, 96, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, 192, 0, 0, 0, 0, 0, 0, 0, -256, 0, 0, 0, 192, 0, 0, 0, -288, 0, 0, 0, -128, 0, 0, 0, 32, 0, 0, 0, 64, 0, 0, 0, -896, 0, 0, 0, 224, 0, 0, 0, 352, 0, 0, 0, 64, 0, 0, 0, -96, 0, 0, 0, -128, 0, 0, 0, -416, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -64, 0, 0, 0, 32, 0, 0, 0, -384, 0, 0, 0, 128, 0, 0, 0, -128, 0, 0, 0, -416, 0, 0, 0, 160, 0, 0, 0, 0, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1191369
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4160.2.a.bu', 'source_level': 4160, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '2080.2.a.q', 'target_level': 2080, 'twist_class_label': '2080.2.a.q', 'twist_class_level': 2080, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1191370
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4160.2.a.bu', 'source_level': 4160, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 17, 'target_is_minimal': True, 'target_label': '2080.2.a.q', 'target_level': 2080, 'twist_class_label': '2080.2.a.q', 'twist_class_level': 2080, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1191371
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4160.2.a.bu', 'source_level': 4160, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4160.2.a.bu', 'target_level': 4160, 'twist_class_label': '2080.2.a.q', 'twist_class_level': 2080, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1191372
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 47, 'source_is_minimal': False, 'source_label': '4160.2.a.bu', 'source_level': 4160, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 47, 'target_is_minimal': False, 'target_label': '4160.2.a.bu', 'target_level': 4160, 'twist_class_label': '2080.2.a.q', 'twist_class_level': 2080, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3515975
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 207165582892601408, 'p': 2}
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id: 3515976
{'charpoly_factorization': [[[8, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 3}
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id: 3515977
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 207165582892601408, 'p': 5}
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id: 3515978
{'charpoly_factorization': [[[32, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 7}
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id: 3515979
{'charpoly_factorization': [[[8, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 11}
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id: 3515980
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 207165582892601408, 'p': 13}
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id: 3515981
{'charpoly_factorization': [[[-28, 4, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 17}
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id: 3515982
{'charpoly_factorization': [[[8, 0, -8, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 19}
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id: 3515983
{'charpoly_factorization': [[[2312, 0, -104, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 23}
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id: 3515984
{'charpoly_factorization': [[[28, -12, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 29}
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id: 3515985
{'charpoly_factorization': [[[2312, 0, -104, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 31}
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id: 3515986
{'charpoly_factorization': [[[-68, 4, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 37}
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id: 3515987
{'charpoly_factorization': [[[2, 1], 4]], 'hecke_orbit_code': 207165582892601408, 'p': 41}
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id: 3515988
{'charpoly_factorization': [[[4232, 0, -136, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 43}
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id: 3515989
{'charpoly_factorization': [[[2592, 0, -144, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 47}
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id: 3515990
{'charpoly_factorization': [[[-124, -4, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 53}
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id: 3515991
{'charpoly_factorization': [[[4232, 0, -136, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 59}
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id: 3515992
{'charpoly_factorization': [[[28, -12, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 61}
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id: 3515993
{'charpoly_factorization': [[[16928, 0, -272, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 67}
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id: 3515994
{'charpoly_factorization': [[[392, 0, -136, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 71}
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id: 3515995
{'charpoly_factorization': [[[-4, 4, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 73}
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id: 3515996
{'charpoly_factorization': [[[6272, 0, -160, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 79}
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id: 3515997
{'charpoly_factorization': [[[32, 0, -16, 0, 1], 1]], 'hecke_orbit_code': 207165582892601408, 'p': 83}
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id: 3515998
{'charpoly_factorization': [[[4, 12, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 89}
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id: 3515999
{'charpoly_factorization': [[[-92, -12, 1], 2]], 'hecke_orbit_code': 207165582892601408, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 47, 'label': '4160.2.a.bu', 'level': 4160, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71244097
{'hecke_orbit_code': 207165582892601408, 'n': 1, 'trace_an': 4}
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id: 71244098
{'hecke_orbit_code': 207165582892601408, 'n': 2, 'trace_an': 0}
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id: 71244099
{'hecke_orbit_code': 207165582892601408, 'n': 3, 'trace_an': 0}
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id: 71244100
{'hecke_orbit_code': 207165582892601408, 'n': 4, 'trace_an': 0}
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id: 71244101
{'hecke_orbit_code': 207165582892601408, 'n': 5, 'trace_an': 4}
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id: 71244102
{'hecke_orbit_code': 207165582892601408, 'n': 6, 'trace_an': 0}
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id: 71244103
{'hecke_orbit_code': 207165582892601408, 'n': 7, 'trace_an': 0}
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id: 71244104
{'hecke_orbit_code': 207165582892601408, 'n': 8, 'trace_an': 0}
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id: 71244105
{'hecke_orbit_code': 207165582892601408, 'n': 9, 'trace_an': 4}
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id: 71244106
{'hecke_orbit_code': 207165582892601408, 'n': 10, 'trace_an': 0}
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id: 71244107
{'hecke_orbit_code': 207165582892601408, 'n': 11, 'trace_an': 0}
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id: 71244108
{'hecke_orbit_code': 207165582892601408, 'n': 12, 'trace_an': 0}
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id: 71244109
{'hecke_orbit_code': 207165582892601408, 'n': 13, 'trace_an': 4}
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id: 71244110
{'hecke_orbit_code': 207165582892601408, 'n': 14, 'trace_an': 0}
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id: 71244111
{'hecke_orbit_code': 207165582892601408, 'n': 15, 'trace_an': 0}
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id: 71244112
{'hecke_orbit_code': 207165582892601408, 'n': 16, 'trace_an': 0}
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id: 71244113
{'hecke_orbit_code': 207165582892601408, 'n': 17, 'trace_an': -8}
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id: 71244114
{'hecke_orbit_code': 207165582892601408, 'n': 18, 'trace_an': 0}
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id: 71244115
{'hecke_orbit_code': 207165582892601408, 'n': 19, 'trace_an': 0}
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id: 71244116
{'hecke_orbit_code': 207165582892601408, 'n': 20, 'trace_an': 0}
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id: 71244117
{'hecke_orbit_code': 207165582892601408, 'n': 21, 'trace_an': 16}
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id: 71244118
{'hecke_orbit_code': 207165582892601408, 'n': 22, 'trace_an': 0}
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id: 71244119
{'hecke_orbit_code': 207165582892601408, 'n': 23, 'trace_an': 0}
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id: 71244120
{'hecke_orbit_code': 207165582892601408, 'n': 24, 'trace_an': 0}
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id: 71244121
{'hecke_orbit_code': 207165582892601408, 'n': 25, 'trace_an': 4}
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id: 71244122
{'hecke_orbit_code': 207165582892601408, 'n': 26, 'trace_an': 0}
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id: 71244123
{'hecke_orbit_code': 207165582892601408, 'n': 27, 'trace_an': 0}
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id: 71244124
{'hecke_orbit_code': 207165582892601408, 'n': 28, 'trace_an': 0}
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id: 71244125
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