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{'Nk2': 28392, 'analytic_conductor': 56.67781535470482, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [7, -1], [13, -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': [7098, 1, [4733, 5071, 6931], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 12, 'field_disc_factorization': [[2, 2], [3, 1]], 'field_poly': [-3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 12, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[5, [-2, -2, 1]], [11, [-3, 0, 1]], [17, [1, -4, 1]]], 'hecke_orbit': 42, 'hecke_orbit_code': 184647584755751866, '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': '7098.2.a.bp', 'level': 7098, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'minimal_twist': '546.2.s.a', 'nf_label': '2.2.12.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}+(1+\\beta )q^{5}-q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7098.2.a', 'trace_display': [-2, 2, 2, 2], 'trace_hash': 1383803145824069640, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.051', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.936', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.225', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.914', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.818', 'prec': 17}, {'__RealLiteral__': 0, 'data': '73.609', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.028', 'prec': 17}, 'traces': [2, -2, 2, 2, 2, -2, 2, -2, 2, -2, 0, 2, 0, -2, 2, 2, 4, -2, -2, 2, 2, 0, 0, -2, -2, 0, 2, 2, 6, -2, 6, -2, 0, -4, 2, 2, -10, 2, 0, -2, 6, -2, 10, 0, 2, 0, -2, 2, 2, 2, 4, 0, 14, -2, 6, -2, -2, -6, -12, 2, 0, -6, 2, 2, 0, 0, 4, 4, 0, -2, -6, -2, -4, 10, -2, -2, 0, 0, 18, 2, 2, -6, 10, 2, -2, -10, 6, 0, 14, -2, 0, 0, 6, 2, -2, -2, -14, -2, 0, -2, 20, -4, 26, 0, 2, -14, -6, 2, -6, -6, -10, 2, 34, 2, 12, 6, 0, 12, 4, -2, -16, 0, 6, 6, 0, -2, -24, -2, 10, 0, 0, 0, -2, -4, 2, -4, 8, 0, -8, 2, -2, 6, 0, 2, -6, 4, 2, -10, 0, 2, 0, 2, 4, 0, 24, 0, -8, -18, 14, -2, 0, -2, 2, 6, 6, -10, 0, -2, 0, 2, -2, 10, 6, -6, -2, 0, -12, -14, 16, 2, 12, 0, 0, 0, -4, -6, -6, -2, 2, 2, 22, 2, -8, 14, 0, 2, 36, 0, -22, 2, 4, -20, 6, 4, 6, -26, 0, 0, 0, -2, 52, 14, -6, 6, 16, -2, 6, 6, -4, 6, 0, 10, 28, -2, -2, -34, -16, 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{'AL_dims': [[[[2, -1], [3, -1], [7, -1], [13, -1]], 6, 3], [[[2, 1], [3, 1], [7, -1], [13, -1]], 9, 4], [[[2, 1], [3, -1], [7, 1], [13, 1]], 10, 7], [[[2, 1], [3, 1], [7, 1], [13, 1]], 11, 4], [[[2, -1], [3, 1], [7, -1], [13, 1]], 7, 4], [[[2, -1], [3, 1], [7, -1], [13, -1]], 12, 3], [[[2, 1], [3, -1], [7, -1], [13, -1]], 9, 5], [[[2, -1], [3, -1], [7, 1], [13, -1]], 12, 5], [[[2, 1], [3, -1], [7, 1], [13, -1]], 9, 3], [[[2, 1], [3, -1], [7, -1], [13, 1]], 11, 4], [[[2, 1], [3, 1], [7, -1], [13, 1]], 10, 7], [[[2, -1], [3, -1], [7, -1], [13, 1]], 13, 7], [[[2, -1], [3, 1], [7, 1], [13, -1]], 6, 3], [[[2, -1], [3, -1], [7, 1], [13, 1]], 7, 4], [[[2, 1], [3, 1], [7, 1], [13, -1]], 9, 3], [[[2, -1], [3, 1], [7, 1], [13, 1]], 13, 7]], 'ALdims': [11, 9, 10, 9, 10, 9, 11, 9, 13, 6, 7, 12, 7, 12, 13, 6], 'Nk2': 28392, 'analytic_conductor': 56.67781535470482, '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': [7098, 1, [4733, 5071, 6931], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1401, 'dim': 154, 'eis_dim': 111, 'eis_new_dim': 0, 'hecke_cutter_primes': [5, 11, 17], 'hecke_orbit_code': 33561530, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 6, 6, 6, 6, 6, 6], 'label': '7098.2.a', 'level': 7098, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7, 13], 'level_radical': 546, 'mf_dim': 1512, 'mf_new_dim': 154, 'num_forms': 73, 'plus_dim': 66, 'prim_orbit_index': 1, 'relative_dim': 154, 'sturm_bound': 2912, 'trace_bound': 17, 'trace_display': [-2, 0, -4, 0], 'traces': [154, -2, 0, 154, -4, 0, 0, -2, 154, -4, -8, 0, 0, 0, -8, 154, -4, -2, 0, -4, 2, 0, -16, 0, 134, 0, 0, 0, -12, 0, -16, -2, 0, -20, -8, 154, 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mf_twists_cc • Show schema
Hide schema
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id: 48952861
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755751866, 'source_is_minimal': False, 'source_label': '7098.2.a.bp.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 184647584755751866, 'target_is_minimal': False, 'target_label': '7098.2.a.bp.1.2', 'target_level': 7098, 'twist_class_label': '546.2.s.a.43.2', 'twist_class_level': 546, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48952862
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755751866, 'source_is_minimal': False, 'source_label': '7098.2.a.bp.1.2', 'source_level': 7098, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1236984136226, 'target_is_minimal': True, 'target_label': '546.2.s.a.127.2', 'target_level': 546, 'twist_class_label': '546.2.s.a.43.2', 'twist_class_level': 546, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48952863
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755751866, 'source_is_minimal': False, 'source_label': '7098.2.a.bp.1.2', 'source_level': 7098, 'target_conrey_index': 43, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 1236984136226, 'target_is_minimal': True, 'target_label': '546.2.s.a.43.2', 'target_level': 546, 'twist_class_label': '546.2.s.a.43.2', 'twist_class_level': 546, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48952864
{'conductor': 13, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755751866, 'source_is_minimal': False, 'source_label': '7098.2.a.bp.1.2', 'source_level': 7098, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 220676381774715834, 'target_is_minimal': False, 'target_label': '7098.2.a.bx.1.1', 'target_level': 7098, 'twist_class_label': '546.2.s.a.43.2', 'twist_class_level': 546, 'twisting_char_label': '13.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 48952865
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755751866, 'source_is_minimal': False, 'source_label': '7098.2.a.bp.1.2', 'source_level': 7098, 'target_conrey_index': 1135, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506004842612326, 'target_is_minimal': False, 'target_label': '1638.2.bj.b.1135.1', 'target_level': 1638, 'twist_class_label': '546.2.s.a.43.2', 'twist_class_level': 546, 'twisting_char_label': '39.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48952866
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 184647584755751866, 'source_is_minimal': False, 'source_label': '7098.2.a.bp.1.2', 'source_level': 7098, 'target_conrey_index': 127, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506004842612326, 'target_is_minimal': False, 'target_label': '1638.2.bj.b.127.1', 'target_level': 1638, 'twist_class_label': '546.2.s.a.43.2', 'twist_class_level': 546, 'twisting_char_label': '39.32', 'twisting_conrey_index': 32, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4376900
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 184647584755751866, 'p': 2}
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id: 4376901
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 184647584755751866, 'p': 3}
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id: 4376902
{'charpoly_factorization': [[[-2, -2, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 5}
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id: 4376903
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 184647584755751866, 'p': 7}
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id: 4376904
{'charpoly_factorization': [[[-3, 0, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 11}
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id: 4376905
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 184647584755751866, 'p': 13}
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id: 4376906
{'charpoly_factorization': [[[1, -4, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 17}
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id: 4376907
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 184647584755751866, 'p': 19}
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id: 4376908
{'charpoly_factorization': [[[-12, 0, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 23}
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id: 4376909
{'charpoly_factorization': [[[-3, -6, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 29}
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id: 4376910
{'charpoly_factorization': [[[-18, -6, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 31}
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id: 4376911
{'charpoly_factorization': [[[22, 10, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 37}
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id: 4376912
{'charpoly_factorization': [[[-3, 1], 2]], 'hecke_orbit_code': 184647584755751866, 'p': 41}
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id: 4376913
{'charpoly_factorization': [[[22, -10, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 43}
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id: 4376914
{'charpoly_factorization': [[[-11, 2, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 47}
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id: 4376915
{'charpoly_factorization': [[[-7, 1], 2]], 'hecke_orbit_code': 184647584755751866, 'p': 53}
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id: 4376916
{'charpoly_factorization': [[[-12, 12, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 59}
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id: 4376917
{'charpoly_factorization': [[[-27, 0, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 61}
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id: 4376918
{'charpoly_factorization': [[[-44, -4, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 67}
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id: 4376919
{'charpoly_factorization': [[[-18, 6, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 71}
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id: 4376920
{'charpoly_factorization': [[[-8, 4, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 73}
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id: 4376921
{'charpoly_factorization': [[[33, -18, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 79}
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id: 4376922
{'charpoly_factorization': [[[-2, -10, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 83}
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id: 4376923
{'charpoly_factorization': [[[37, -14, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 89}
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id: 4376924
{'charpoly_factorization': [[[-26, 14, 1], 1]], 'hecke_orbit_code': 184647584755751866, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 42, 'label': '7098.2.a.bp', 'level': 7098, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 274154000
{'hecke_orbit_code': 184647584755751866, 'n': 1, 'trace_an': 2}
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id: 274154001
{'hecke_orbit_code': 184647584755751866, 'n': 2, 'trace_an': -2}
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id: 274154002
{'hecke_orbit_code': 184647584755751866, 'n': 3, 'trace_an': 2}
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id: 274154003
{'hecke_orbit_code': 184647584755751866, 'n': 4, 'trace_an': 2}
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id: 274154004
{'hecke_orbit_code': 184647584755751866, 'n': 5, 'trace_an': 2}
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id: 274154005
{'hecke_orbit_code': 184647584755751866, 'n': 6, 'trace_an': -2}
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id: 274154006
{'hecke_orbit_code': 184647584755751866, 'n': 7, 'trace_an': 2}
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id: 274154007
{'hecke_orbit_code': 184647584755751866, 'n': 8, 'trace_an': -2}
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id: 274154008
{'hecke_orbit_code': 184647584755751866, 'n': 9, 'trace_an': 2}
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id: 274154009
{'hecke_orbit_code': 184647584755751866, 'n': 10, 'trace_an': -2}
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id: 274154010
{'hecke_orbit_code': 184647584755751866, 'n': 11, 'trace_an': 0}
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id: 274154011
{'hecke_orbit_code': 184647584755751866, 'n': 12, 'trace_an': 2}
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id: 274154012
{'hecke_orbit_code': 184647584755751866, 'n': 13, 'trace_an': 0}
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id: 274154013
{'hecke_orbit_code': 184647584755751866, 'n': 14, 'trace_an': -2}
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id: 274154014
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{'hecke_orbit_code': 184647584755751866, 'n': 978, 'trace_an': -2}
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id: 274154978
{'hecke_orbit_code': 184647584755751866, 'n': 979, 'trace_an': -12}
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id: 274154979
{'hecke_orbit_code': 184647584755751866, 'n': 980, 'trace_an': 2}
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id: 274154980
{'hecke_orbit_code': 184647584755751866, 'n': 981, 'trace_an': -6}
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id: 274154981
{'hecke_orbit_code': 184647584755751866, 'n': 982, 'trace_an': -64}
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id: 274154982
{'hecke_orbit_code': 184647584755751866, 'n': 983, 'trace_an': -44}
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id: 274154983
{'hecke_orbit_code': 184647584755751866, 'n': 984, 'trace_an': -6}
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id: 274154984
{'hecke_orbit_code': 184647584755751866, 'n': 985, 'trace_an': 6}
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id: 274154985
{'hecke_orbit_code': 184647584755751866, 'n': 986, 'trace_an': -24}
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id: 274154986
{'hecke_orbit_code': 184647584755751866, 'n': 987, 'trace_an': -2}
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id: 274154987
{'hecke_orbit_code': 184647584755751866, 'n': 988, 'trace_an': 0}
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id: 274154988
{'hecke_orbit_code': 184647584755751866, 'n': 989, 'trace_an': 12}
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id: 274154989
{'hecke_orbit_code': 184647584755751866, 'n': 990, 'trace_an': -6}
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id: 274154990
{'hecke_orbit_code': 184647584755751866, 'n': 991, 'trace_an': -70}
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id: 274154991
{'hecke_orbit_code': 184647584755751866, 'n': 992, 'trace_an': -6}
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id: 274154992
{'hecke_orbit_code': 184647584755751866, 'n': 993, 'trace_an': -28}
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id: 274154993
{'hecke_orbit_code': 184647584755751866, 'n': 994, 'trace_an': 6}
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id: 274154994
{'hecke_orbit_code': 184647584755751866, 'n': 995, 'trace_an': -4}
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id: 274154995
{'hecke_orbit_code': 184647584755751866, 'n': 996, 'trace_an': 10}
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id: 274154996
{'hecke_orbit_code': 184647584755751866, 'n': 997, 'trace_an': -4}
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id: 274154997
{'hecke_orbit_code': 184647584755751866, 'n': 998, 'trace_an': 22}
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id: 274154998
{'hecke_orbit_code': 184647584755751866, 'n': 999, 'trace_an': -10}
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id: 274154999
{'hecke_orbit_code': 184647584755751866, 'n': 1000, 'trace_an': 0}