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{'Nk2': 14592, 'analytic_conductor': 29.129426657363084, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -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': [3648, 1, [2623, 2053, 1217, 1921], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [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': [[5, [-4, 1, 1]], [7, [-4, 1, 1]], [11, [8, -7, 1]], [23, [8, 10, 1]], [31, [-2, 1]]], 'hecke_orbit': 44, 'hecke_orbit_code': 193654784010489408, 'hecke_ring_generator_nbound': 5, '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_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '3648.2.a.br', 'level': 3648, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '456.2.a.f', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}-\\beta q^{5}-\\beta q^{7}+q^{9}+(4-\\beta )q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3648.2.a', 'trace_display': [0, 2, -1, -1], 'trace_hash': 532592783386999391, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.007', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.908', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.439', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.061', 'prec': 17}, {'__RealLiteral__': 0, 'data': '65.702', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.013', 'prec': 17}, 'traces': [2, 0, 2, 0, -1, 0, -1, 0, 2, 0, 7, 0, 2, 0, -1, 0, 1, 0, 2, 0, -1, 0, -10, 0, -1, 0, 2, 0, 0, 0, 4, 0, 7, 0, 9, 0, 16, 0, 2, 0, -2, 0, 1, 0, -1, 0, 1, 0, -5, 0, 1, 0, 8, 0, 5, 0, 2, 0, 24, 0, -1, 0, -1, 0, -18, 0, -4, 0, -10, 0, 0, 0, -5, 0, -1, 0, 5, 0, 2, 0, 2, 0, 8, 0, 25, 0, 0, 0, -12, 0, -18, 0, 4, 0, -1, 0, -8, 0, 7, 0, -6, 0, 12, 0, 9, 0, -2, 0, -12, 0, 16, 0, -4, 0, -12, 0, 2, 0, 25, 0, 11, 0, -2, 0, -3, 0, 36, 0, 1, 0, 29, 0, -1, 0, -1, 0, -7, 0, 5, 0, 1, 0, -10, 0, 34, 0, -5, 0, 13, 0, 26, 0, 1, 0, -2, 0, 8, 0, 8, 0, -12, 0, 12, 0, 5, 0, 26, 0, 10, 0, 2, 0, -8, 0, -8, 0, 24, 0, -22, 0, -22, 0, -1, 0, -8, 0, 29, 0, -1, 0, 15, 0, 46, 0, -18, 0, -22, 0, 23, 0, -4, 0, 34, 0, -16, 0, -10, 0, 7, 0, 28, 0, 0, 0, -9, 0, -2, 0, -5, 0, -50, 0, -2, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [0, -1], [0, 0], [1, 0], [0, 0], [4, -1], [0, 0], [0, 2], [0, 0], [0, -1], [0, 0], [2, -3], [0, 0], [1, 0], [0, 0], [0, -1], [0, 0], [-6, 2], [0, 0], [-1, 1], [0, 0], [1, 0], [0, 0], [2, -4], [0, 0], [2, 0], [0, 0], [4, -1], [0, 0], [4, 1], [0, 0], [8, 0], [0, 0], [0, 2], [0, 0], [-2, 2], [0, 0], [0, 1], [0, 0], [0, -1], [0, 0], [2, -3], [0, 0], [-3, 1], [0, 0], [2, -3], [0, 0], [2, 4], [0, 0], [4, -3], [0, 0], [1, 0], [0, 0], [12, 0], [0, 0], [-2, 3], [0, 0], [0, -1], [0, 0], [-8, -2], [0, 0], [0, -4], [0, 0], [-6, 2], [0, 0], [0, 0], [0, 0], [-6, 7], [0, 0], [-1, 1], [0, 0], [4, -3], [0, 0], [-2, 6], [0, 0], [1, 0], [0, 0], [4, 0], [0, 0], [12, 1], [0, 0], [2, -4], [0, 0], [-6, 0], [0, 0], [-8, -2], [0, 0], [2, 0], [0, 0], [0, -1], [0, 0], [-2, -4], [0, 0], [4, -1], [0, 0]], 'ap': [[0, 0], [1, 0], [0, -1], [0, -1], [4, -1], [0, 2], [2, -3], [1, 0], [-6, 2], [2, -4], [2, 0], [8, 0], [-2, 2], [0, 1], [2, -3], [2, 4], [12, 0], 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-26], [16, 3], [-22, 0], [-12, -22], [-44, 2], [-18, 6], [-18, 36], [68, -10], [-6, 18], [32, 14], [2, -15], [52, 18], [-18, 42], [6, -8], [-76, -6], [-10, -13], [8, -7], [-50, -3]], 'char_orbit_index': 1, 'field_poly': [-4, -1, 1], 'hecke_orbit_code': 193654784010489408, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '3648.2.a.br', 'level': 3648, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [19, -1]], 12, 7], [[[2, -1], [3, 1], [19, -1]], 10, 7], [[[2, -1], [3, 1], [19, 1]], 9, 6], [[[2, 1], [3, 1], [19, 1]], 9, 7], [[[2, 1], [3, -1], [19, -1]], 6, 6], [[[2, -1], [3, -1], [19, 1]], 7, 5], [[[2, 1], [3, 1], [19, -1]], 8, 6], [[[2, 1], [3, -1], [19, 1]], 11, 8]], 'ALdims': [9, 8, 11, 6, 9, 10, 7, 12], 'Nk2': 14592, 'analytic_conductor': 29.129426657363084, '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': [3648, 1, [2623, 2053, 1217, 1921], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 617, 'dim': 72, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 7, 11, 23, 31], 'hecke_orbit_code': 33558080, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 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, 3, 3, 3, 3], 'label': '3648.2.a', 'level': 3648, 'level_is_prime': 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mf_twists_nf • Show schema
Hide schema
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id: 1132880
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '3648.2.a.br', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '456.2.a.f', 'target_level': 456, 'twist_class_label': '456.2.a.f', 'twist_class_level': 456, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1132881
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '3648.2.a.br', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '912.2.a.m', 'target_level': 912, 'twist_class_label': '456.2.a.f', 'twist_class_level': 456, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1132882
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '3648.2.a.br', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '1368.2.a.k', 'target_level': 1368, 'twist_class_label': '456.2.a.f', 'twist_class_level': 456, 'twisting_char_label': '24.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 1132883
{'conductor': 24, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '3648.2.a.br', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 26, 'target_is_minimal': False, 'target_label': '2736.2.a.z', 'target_level': 2736, 'twist_class_label': '456.2.a.f', 'twist_class_level': 456, 'twisting_char_label': '24.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1132884
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '3648.2.a.br', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 38, 'target_is_minimal': False, 'target_label': '3648.2.a.bl', 'target_level': 3648, 'twist_class_label': '456.2.a.f', 'twist_class_level': 456, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1132885
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '3648.2.a.br', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '3648.2.a.br', 'target_level': 3648, 'twist_class_label': '456.2.a.f', 'twist_class_level': 456, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1132886
{'conductor': 152, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 44, 'source_is_minimal': False, 'source_label': '3648.2.a.br', 'source_level': 3648, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '8664.2.a.r', 'target_level': 8664, 'twist_class_label': '456.2.a.f', 'twist_class_level': 456, 'twisting_char_label': '152.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3289525
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 2}
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id: 3289526
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 3}
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id: 3289527
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 5}
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id: 3289528
{'charpoly_factorization': [[[-4, 1, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 7}
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id: 3289529
{'charpoly_factorization': [[[8, -7, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 11}
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id: 3289530
{'charpoly_factorization': [[[-16, -2, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 13}
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id: 3289531
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 17}
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id: 3289532
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 19}
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id: 3289533
{'charpoly_factorization': [[[8, 10, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 23}
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id: 3289534
{'charpoly_factorization': [[[-68, 0, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 29}
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id: 3289535
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 31}
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id: 3289536
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 37}
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id: 3289537
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 41}
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id: 3289538
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 43}
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id: 3289539
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 47}
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id: 3289540
{'charpoly_factorization': [[[-52, -8, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 53}
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id: 3289541
{'charpoly_factorization': [[[-12, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 59}
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id: 3289542
{'charpoly_factorization': [[[-38, 1, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 61}
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id: 3289543
{'charpoly_factorization': [[[-64, 4, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 67}
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id: 3289544
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 71}
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id: 3289545
{'charpoly_factorization': [[[-202, 5, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 73}
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id: 3289546
{'charpoly_factorization': [[[-152, -2, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 79}
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id: 3289547
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 83}
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id: 3289548
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 193654784010489408, 'p': 89}
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id: 3289549
{'charpoly_factorization': [[[-52, 8, 1], 1]], 'hecke_orbit_code': 193654784010489408, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 44, 'label': '3648.2.a.br', 'level': 3648, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 274901000
{'hecke_orbit_code': 193654784010489408, 'n': 1, 'trace_an': 2}
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id: 274901001
{'hecke_orbit_code': 193654784010489408, 'n': 2, 'trace_an': 0}
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id: 274901002
{'hecke_orbit_code': 193654784010489408, 'n': 3, 'trace_an': 2}
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id: 274901003
{'hecke_orbit_code': 193654784010489408, 'n': 4, 'trace_an': 0}
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id: 274901004
{'hecke_orbit_code': 193654784010489408, 'n': 5, 'trace_an': -1}
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id: 274901005
{'hecke_orbit_code': 193654784010489408, 'n': 6, 'trace_an': 0}
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id: 274901006
{'hecke_orbit_code': 193654784010489408, 'n': 7, 'trace_an': -1}
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id: 274901007
{'hecke_orbit_code': 193654784010489408, 'n': 8, 'trace_an': 0}
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id: 274901008
{'hecke_orbit_code': 193654784010489408, 'n': 9, 'trace_an': 2}
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id: 274901009
{'hecke_orbit_code': 193654784010489408, 'n': 10, 'trace_an': 0}
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id: 274901010
{'hecke_orbit_code': 193654784010489408, 'n': 11, 'trace_an': 7}
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id: 274901011
{'hecke_orbit_code': 193654784010489408, 'n': 12, 'trace_an': 0}
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id: 274901012
{'hecke_orbit_code': 193654784010489408, 'n': 13, 'trace_an': 2}
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id: 274901013
{'hecke_orbit_code': 193654784010489408, 'n': 14, 'trace_an': 0}
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id: 274901014
{'hecke_orbit_code': 193654784010489408, 'n': 15, 'trace_an': -1}
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id: 274901015
{'hecke_orbit_code': 193654784010489408, 'n': 16, 'trace_an': 0}
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id: 274901016
{'hecke_orbit_code': 193654784010489408, 'n': 17, 'trace_an': 1}
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id: 274901017
{'hecke_orbit_code': 193654784010489408, 'n': 18, 'trace_an': 0}
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id: 274901018
{'hecke_orbit_code': 193654784010489408, 'n': 19, 'trace_an': 2}
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id: 274901019
{'hecke_orbit_code': 193654784010489408, 'n': 20, 'trace_an': 0}
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id: 274901020
{'hecke_orbit_code': 193654784010489408, 'n': 21, 'trace_an': -1}
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id: 274901021
{'hecke_orbit_code': 193654784010489408, 'n': 22, 'trace_an': 0}
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id: 274901022
{'hecke_orbit_code': 193654784010489408, 'n': 23, 'trace_an': -10}
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id: 274901023
{'hecke_orbit_code': 193654784010489408, 'n': 24, 'trace_an': 0}
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id: 274901024
{'hecke_orbit_code': 193654784010489408, 'n': 25, 'trace_an': -1}
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id: 274901025
{'hecke_orbit_code': 193654784010489408, 'n': 26, 'trace_an': 0}
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id: 274901985
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id: 274901986
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id: 274901987
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id: 274901988
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id: 274901989
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id: 274901990
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id: 274901991
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id: 274901992
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id: 274901993
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id: 274901994
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id: 274901995
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id: 274901996
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id: 274901997
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id: 274901998
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id: 274901999
{'hecke_orbit_code': 193654784010489408, 'n': 1000, 'trace_an': 0}