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mf_newforms • Show schema
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'cm_discs': [], 'conrey_index': 67, 'conrey_indexes': [67, 177], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, 2, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 0, 2, 0, 1]], [5, [4, 0, 2, 0, 1]], [13, [-8, 0, 1]]], 'hecke_orbit': 19, 'hecke_orbit_code': 81065068204131382, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0], [1, 1, 7, 2, -1, 2, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1078.2.e.s', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'minimal_twist': '1078.2.a.q', 'nf_label': '4.0.576.2', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{2}q^{2}+\\beta _{1}q^{3}+(-1-\\beta _{2})q^{4}+(\\beta _{1}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1078.2.e', 'trace_display': [2, 0, 0, 0], 'trace_hash': 1919186585428784769, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.870', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '94.301', 'prec': 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mf_hecke_cc • Show schema
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'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 3, 'embedding_root_imag': -1.224744871391589, 'embedding_root_real': -0.7071067811865476, 'hecke_orbit': 19, 'hecke_orbit_code': 81065068204131382, 'label': '1078.2.e.s.177.1', 'level': 1078, 'weight': 2}
-
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{'Nk2': 4312, 'analytic_conductor': 8.607873337894025, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [1078, 3, [199, 981], [2, 3]], 'conrey_index': 67, 'cusp_dim': 304, 'dim': 64, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 13], 'hecke_orbit_code': 274911462454, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4], 'label': '1078.2.e', 'level': 1078, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 11], 'level_radical': 154, 'mf_dim': 368, 'mf_new_dim': 64, 'num_forms': 22, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 336, 'trace_bound': 23, 'trace_display': [0, 0, -4, 0], 'traces': [64, 0, 0, -32, -4, -8, 0, 0, -24, 0, 0, 0, -8, 0, 8, -32, 12, -16, 0, 8, 0, 0, -32, 4, -40, -12, 24, 0, 8, 0, -4, 0, -4, 8, 0, 48, 48, -4, 44, 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mf_twists_cc • Show schema
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id: 48233678
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065068204131382, 'target_is_minimal': False, 'target_label': '1078.2.e.s.177.1', 'target_level': 1078, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48233679
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071483446, 'target_is_minimal': True, 'target_label': '1078.2.a.q.1.2', 'target_level': 1078, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '7.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48233680
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065068204131382, 'target_is_minimal': False, 'target_label': '1078.2.e.s.67.2', 'target_level': 1078, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '7.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48233681
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 67, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81065068204131382, 'target_is_minimal': False, 'target_label': '1078.2.e.s.67.1', 'target_level': 1078, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48233682
{'conductor': 7, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071483446, 'target_is_minimal': True, 'target_label': '1078.2.a.q.1.1', 'target_level': 1078, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '7.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48233683
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 177, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81065068204131382, 'target_is_minimal': False, 'target_label': '1078.2.e.s.177.2', 'target_level': 1078, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48233684
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 423338365006390758, 'target_is_minimal': False, 'target_label': '9702.2.a.dq.1.2', 'target_level': 9702, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '21.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48233685
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 423338365006390758, 'target_is_minimal': False, 'target_label': '9702.2.a.dq.1.1', 'target_level': 9702, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '21.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 48233686
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 216172782147346864, 'target_is_minimal': False, 'target_label': '8624.2.a.bw.1.2', 'target_level': 8624, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '28.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48233687
{'conductor': 28, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 177, 'source_dim': 4, 'source_embedding_index': 1, 'source_hecke_orbit_code': 81065068204131382, 'source_is_minimal': False, 'source_label': '1078.2.e.s.177.1', 'source_level': 1078, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 216172782147346864, 'target_is_minimal': False, 'target_label': '8624.2.a.bw.1.1', 'target_level': 8624, 'twist_class_label': '1078.2.a.q.1.1', 'twist_class_level': 1078, 'twisting_char_label': '28.23', 'twisting_conrey_index': 23, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1658900
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 2}
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id: 1658901
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 3}
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id: 1658902
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 5}
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id: 1658903
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 81065068204131382, 'p': 7}
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id: 1658904
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 11}
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id: 1658905
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 13}
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id: 1658906
{'charpoly_factorization': [[[1024, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 17}
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id: 1658907
{'charpoly_factorization': [[[64, 0, 8, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 19}
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id: 1658908
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 23}
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id: 1658909
{'charpoly_factorization': [[[6, 1], 4]], 'hecke_orbit_code': 81065068204131382, 'p': 29}
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id: 1658910
{'charpoly_factorization': [[[4, 0, 2, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 31}
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id: 1658911
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 37}
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id: 1658912
{'charpoly_factorization': [[[-32, 0, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 41}
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id: 1658913
{'charpoly_factorization': [[[-4, 1], 4]], 'hecke_orbit_code': 81065068204131382, 'p': 43}
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id: 1658914
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 47}
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id: 1658915
{'charpoly_factorization': [[[144, -12, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 53}
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id: 1658916
{'charpoly_factorization': [[[324, 0, 18, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 59}
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id: 1658917
{'charpoly_factorization': [[[1024, 0, 32, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 61}
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id: 1658918
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 67}
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id: 1658919
{'charpoly_factorization': [[[10, 1], 4]], 'hecke_orbit_code': 81065068204131382, 'p': 71}
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id: 1658920
{'charpoly_factorization': [[[40000, 0, 200, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 73}
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id: 1658921
{'charpoly_factorization': [[[64, -8, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 79}
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id: 1658922
{'charpoly_factorization': [[[-8, 0, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 83}
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id: 1658923
{'charpoly_factorization': [[[2500, 0, 50, 0, 1], 1]], 'hecke_orbit_code': 81065068204131382, 'p': 89}
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id: 1658924
{'charpoly_factorization': [[[-242, 0, 1], 2]], 'hecke_orbit_code': 81065068204131382, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 19, 'label': '1078.2.e.s', 'level': 1078, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 246206000
{'hecke_orbit_code': 81065068204131382, 'n': 1, 'trace_an': 4}
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id: 246206001
{'hecke_orbit_code': 81065068204131382, 'n': 2, 'trace_an': 2}
-
id: 246206002
{'hecke_orbit_code': 81065068204131382, 'n': 3, 'trace_an': 0}
-
id: 246206003
{'hecke_orbit_code': 81065068204131382, 'n': 4, 'trace_an': -2}
-
id: 246206004
{'hecke_orbit_code': 81065068204131382, 'n': 5, 'trace_an': 0}
-
id: 246206005
{'hecke_orbit_code': 81065068204131382, 'n': 6, 'trace_an': 0}
-
id: 246206006
{'hecke_orbit_code': 81065068204131382, 'n': 7, 'trace_an': 0}
-
id: 246206007
{'hecke_orbit_code': 81065068204131382, 'n': 8, 'trace_an': -4}
-
id: 246206008
{'hecke_orbit_code': 81065068204131382, 'n': 9, 'trace_an': 2}
-
id: 246206009
{'hecke_orbit_code': 81065068204131382, 'n': 10, 'trace_an': 0}
-
id: 246206010
{'hecke_orbit_code': 81065068204131382, 'n': 11, 'trace_an': 2}
-
id: 246206011
{'hecke_orbit_code': 81065068204131382, 'n': 12, 'trace_an': 0}
-
id: 246206012
{'hecke_orbit_code': 81065068204131382, 'n': 13, 'trace_an': 0}
-
id: 246206013
{'hecke_orbit_code': 81065068204131382, 'n': 14, 'trace_an': 0}
-
id: 246206014
{'hecke_orbit_code': 81065068204131382, 'n': 15, 'trace_an': -8}
-
id: 246206015
{'hecke_orbit_code': 81065068204131382, 'n': 16, 'trace_an': -2}
-
id: 246206016
{'hecke_orbit_code': 81065068204131382, 'n': 17, 'trace_an': 0}
-
id: 246206017
{'hecke_orbit_code': 81065068204131382, 'n': 18, 'trace_an': -2}
-
id: 246206018
{'hecke_orbit_code': 81065068204131382, 'n': 19, 'trace_an': 0}
-
id: 246206019
{'hecke_orbit_code': 81065068204131382, 'n': 20, 'trace_an': 0}
-
id: 246206020
{'hecke_orbit_code': 81065068204131382, 'n': 21, 'trace_an': 0}
-
id: 246206021
{'hecke_orbit_code': 81065068204131382, 'n': 22, 'trace_an': 4}
-
id: 246206022
{'hecke_orbit_code': 81065068204131382, 'n': 23, 'trace_an': 4}
-
id: 246206023
{'hecke_orbit_code': 81065068204131382, 'n': 24, 'trace_an': 0}
-
id: 246206024
{'hecke_orbit_code': 81065068204131382, 'n': 25, 'trace_an': 6}
-
id: 246206025
{'hecke_orbit_code': 81065068204131382, 'n': 26, 'trace_an': 0}
-
id: 246206026
{'hecke_orbit_code': 81065068204131382, 'n': 27, 'trace_an': 0}
-
id: 246206027
{'hecke_orbit_code': 81065068204131382, 'n': 28, 'trace_an': 0}
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{'hecke_orbit_code': 81065068204131382, 'n': 996, 'trace_an': -8}
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id: 246206996
{'hecke_orbit_code': 81065068204131382, 'n': 997, 'trace_an': 0}
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id: 246206997
{'hecke_orbit_code': 81065068204131382, 'n': 998, 'trace_an': -60}
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id: 246206998
{'hecke_orbit_code': 81065068204131382, 'n': 999, 'trace_an': 0}
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id: 246206999
{'hecke_orbit_code': 81065068204131382, 'n': 1000, 'trace_an': 0}