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{'Nk2': 31200, 'analytic_conductor': 62.2833135765987, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, -1], [5, 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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 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': [[7, [-4, -1, 1]], [11, [8, 7, 1]], [17, [-38, -1, 1]], [19, [-16, 2, 1]]], 'hecke_orbit': 30, 'hecke_orbit_code': 130604389227306616, 'hecke_ring_generator_nbound': 7, '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': '7800.2.a.bd', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'minimal_twist': '1560.2.a.o', 'nf_label': '2.2.17.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{3}+\\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': '7800.2.a', 'trace_display': [0, 2, 0, 1], 'trace_hash': 1061575291328272965, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.957', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.002', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.036', 'prec': 17}, {'__RealLiteral__': 0, 'data': '71.152', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.018', 'prec': 17}, 'traces': [2, 0, 2, 0, 0, 0, 1, 0, 2, 0, -7, 0, -2, 0, 0, 0, 1, 0, -2, 0, 1, 0, 7, 0, 0, 0, 2, 0, -4, 0, -6, 0, -7, 0, 0, 0, 1, 0, -2, 0, -7, 0, 4, 0, 0, 0, -6, 0, -5, 0, 1, 0, -3, 0, 0, 0, -2, 0, -16, 0, -9, 0, 1, 0, 0, 0, 12, 0, 7, 0, -3, 0, -16, 0, 0, 0, 5, 0, 3, 0, 2, 0, 16, 0, 0, 0, -4, 0, -17, 0, -1, 0, -6, 0, 0, 0, 15, 0, -7, 0, -6, 0, -12, 0, 0, 0, 11, 0, -18, 0, 1, 0, -4, 0, 0, 0, -2, 0, -25, 0, 11, 0, -7, 0, 0, 0, 10, 0, 4, 0, -22, 0, -18, 0, 0, 0, -16, 0, -15, 0, -6, 0, 7, 0, 0, 0, -5, 0, -29, 0, 8, 0, 1, 0, 0, 0, 12, 0, -3, 0, -5, 0, -23, 0, 0, 0, 28, 0, 2, 0, -2, 0, -28, 0, 0, 0, -16, 0, -38, 0, 11, 0, -9, 0, 0, 0, -29, 0, 1, 0, 16, 0, -31, 0, 0, 0, 10, 0, 20, 0, 12, 0, -2, 0, 0, 0, 7, 0, -10, 0, 24, 0, -3, 0, 0, 0, 14, 0, -16, 0, -1, 0, -12, 0, 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mf_newspaces • Show schema
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{'AL_dims': [[[[2, -1], [3, -1], [5, -1], [13, -1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, -1]], 5, 4], [[[2, 1], [3, 1], [5, -1], [13, -1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, 1]], 7, 2], [[[2, -1], [3, 1], [5, -1], [13, -1]], 9, 4], [[[2, -1], [3, -1], [5, 1], [13, 1]], 7, 4], [[[2, 1], [3, -1], [5, -1], [13, -1]], 9, 2], [[[2, 1], [3, 1], [5, 1], [13, -1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, -1]], 5, 3], [[[2, 1], [3, 1], [5, 1], [13, 1]], 7, 3], [[[2, -1], [3, 1], [5, 1], [13, 1]], 8, 5], [[[2, 1], [3, -1], [5, -1], [13, 1]], 7, 3], [[[2, -1], [3, -1], [5, 1], [13, -1]], 7, 4], [[[2, -1], [3, -1], [5, -1], [13, 1]], 7, 2], [[[2, 1], [3, 1], [5, -1], [13, 1]], 7, 3], [[[2, 1], [3, -1], [5, 1], [13, 1]], 8, 6]], 'ALdims': [7, 7, 7, 7, 8, 5, 7, 9, 8, 5, 7, 9, 7, 7, 7, 7], 'Nk2': 31200, 'analytic_conductor': 62.2833135765987, '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': [7800, 1, [1951, 3901, 5201, 7177, 4201], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1633, 'dim': 114, 'eis_dim': 95, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 17, 19], 'hecke_orbit_code': 33562232, '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, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 5, 5], 'label': '7800.2.a', 'level': 7800, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 5, 13], 'level_radical': 390, 'mf_dim': 1728, 'mf_new_dim': 114, 'num_forms': 53, 'plus_dim': 52, 'prim_orbit_index': 1, 'relative_dim': 114, 'sturm_bound': 3360, 'trace_bound': 17, 'trace_display': [0, 0, 0, 4], 'traces': [114, 0, 0, 0, 0, 0, 4, 0, 114, 0, 0, 0, -2, 0, 0, 0, -4, 0, -12, 0, 4, 0, -24, 0, 0, 0, 0, 0, -4, 0, 4, 0, -16, 0, 0, 0, -4, 0, 0, 0, -8, 0, 16, 0, 0, 0, 16, 0, 90, 0, 0, 0, 4, 0, 0, 0, 4, 0, 8, 0, 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0, -396, 0, 88, 0, 0, 0, -40, 0, -176, 0, -232, 0, -28, 0, 0, 0, 504, 0, 48, 0, -148, 0, 160, 0, 0, 0, -40, 0, 304, 0, -156, 0, -72, 0, 0, 0, 228, 0, 528, 0, 368, 0, -180, 0, 0, 0, -336, 0, 64, 0, -8, 0, 360, 0, 0, 0, -248, 0, -324, 0, -32, 0, 96, 0, 0, 0, 16, 0, 88, 0, 84, 0, 548, 0, 0, 0, 648, 0, 496, 0, 192, 0, 496, 0, 0, 0, 52, 0, 1248, 0, 124], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
Hide schema
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id: 48709954
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227306616, 'source_is_minimal': False, 'source_label': '7800.2.a.bd.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 130604389227306616, 'target_is_minimal': False, 'target_label': '7800.2.a.bd.1.2', 'target_level': 7800, 'twist_class_label': '1560.2.a.o.1.1', 'twist_class_level': 1560, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48709955
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227306616, 'source_is_minimal': False, 'source_label': '7800.2.a.bd.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394816742936, 'target_is_minimal': True, 'target_label': '1560.2.a.o.1.1', 'target_level': 1560, 'twist_class_label': '1560.2.a.o.1.1', 'twist_class_level': 1560, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48709956
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227306616, 'source_is_minimal': False, 'source_label': '7800.2.a.bd.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 108086391090451016, 'target_is_minimal': False, 'target_label': '4680.2.a.y.1.1', 'target_level': 4680, 'twist_class_label': '1560.2.a.o.1.1', 'twist_class_level': 1560, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48709957
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227306616, 'source_is_minimal': False, 'source_label': '7800.2.a.bd.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 144115188109413424, 'target_is_minimal': False, 'target_label': '3120.2.a.bg.1.2', 'target_level': 3120, 'twist_class_label': '1560.2.a.o.1.1', 'twist_class_level': 1560, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48709958
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 2, 'source_hecke_orbit_code': 130604389227306616, 'source_is_minimal': False, 'source_label': '7800.2.a.bd.1.2', 'source_level': 7800, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 270215977675793552, 'target_is_minimal': False, 'target_label': '9360.2.a.ci.1.2', 'target_level': 9360, 'twist_class_label': '1560.2.a.o.1.1', 'twist_class_level': 1560, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4575500
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 130604389227306616, 'p': 2}
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id: 4575501
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 130604389227306616, 'p': 3}
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id: 4575502
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 130604389227306616, 'p': 5}
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id: 4575503
{'charpoly_factorization': [[[-4, -1, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 7}
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id: 4575504
{'charpoly_factorization': [[[8, 7, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 11}
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id: 4575505
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 130604389227306616, 'p': 13}
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id: 4575506
{'charpoly_factorization': [[[-38, -1, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 17}
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id: 4575507
{'charpoly_factorization': [[[-16, 2, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 19}
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id: 4575508
{'charpoly_factorization': [[[8, -7, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 23}
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id: 4575509
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 130604389227306616, 'p': 29}
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id: 4575510
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 31}
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id: 4575511
{'charpoly_factorization': [[[-106, -1, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 37}
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id: 4575512
{'charpoly_factorization': [[[-26, 7, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 41}
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id: 4575513
{'charpoly_factorization': [[[-64, -4, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 43}
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id: 4575514
{'charpoly_factorization': [[[-8, 6, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 47}
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id: 4575515
{'charpoly_factorization': [[[-2, 3, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 53}
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id: 4575516
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 130604389227306616, 'p': 59}
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id: 4575517
{'charpoly_factorization': [[[-18, 9, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 61}
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id: 4575518
{'charpoly_factorization': [[[-32, -12, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 67}
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id: 4575519
{'charpoly_factorization': [[[-36, 3, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 71}
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id: 4575520
{'charpoly_factorization': [[[-4, 16, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 73}
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id: 4575521
{'charpoly_factorization': [[[-104, -3, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 79}
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id: 4575522
{'charpoly_factorization': [[[-8, 1], 2]], 'hecke_orbit_code': 130604389227306616, 'p': 83}
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id: 4575523
{'charpoly_factorization': [[[34, 17, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 89}
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id: 4575524
{'charpoly_factorization': [[[-50, -15, 1], 1]], 'hecke_orbit_code': 130604389227306616, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 30, 'label': '7800.2.a.bd', 'level': 7800, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 264903000
{'hecke_orbit_code': 130604389227306616, 'n': 1, 'trace_an': 2}
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id: 264903001
{'hecke_orbit_code': 130604389227306616, 'n': 2, 'trace_an': 0}
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id: 264903002
{'hecke_orbit_code': 130604389227306616, 'n': 3, 'trace_an': 2}
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id: 264903003
{'hecke_orbit_code': 130604389227306616, 'n': 4, 'trace_an': 0}
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id: 264903004
{'hecke_orbit_code': 130604389227306616, 'n': 5, 'trace_an': 0}
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id: 264903005
{'hecke_orbit_code': 130604389227306616, 'n': 6, 'trace_an': 0}
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id: 264903006
{'hecke_orbit_code': 130604389227306616, 'n': 7, 'trace_an': 1}
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id: 264903007
{'hecke_orbit_code': 130604389227306616, 'n': 8, 'trace_an': 0}
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id: 264903008
{'hecke_orbit_code': 130604389227306616, 'n': 9, 'trace_an': 2}
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id: 264903009
{'hecke_orbit_code': 130604389227306616, 'n': 10, 'trace_an': 0}
-
id: 264903010
{'hecke_orbit_code': 130604389227306616, 'n': 11, 'trace_an': -7}
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id: 264903011
{'hecke_orbit_code': 130604389227306616, 'n': 12, 'trace_an': 0}
-
id: 264903012
{'hecke_orbit_code': 130604389227306616, 'n': 13, 'trace_an': -2}
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id: 264903013
{'hecke_orbit_code': 130604389227306616, 'n': 14, 'trace_an': 0}
-
id: 264903014
{'hecke_orbit_code': 130604389227306616, 'n': 15, 'trace_an': 0}
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id: 264903015
{'hecke_orbit_code': 130604389227306616, 'n': 16, 'trace_an': 0}
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id: 264903016
{'hecke_orbit_code': 130604389227306616, 'n': 17, 'trace_an': 1}
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id: 264903017
{'hecke_orbit_code': 130604389227306616, 'n': 18, 'trace_an': 0}
-
id: 264903018
{'hecke_orbit_code': 130604389227306616, 'n': 19, 'trace_an': -2}
-
id: 264903019
{'hecke_orbit_code': 130604389227306616, 'n': 20, 'trace_an': 0}
-
id: 264903020
{'hecke_orbit_code': 130604389227306616, 'n': 21, 'trace_an': 1}
-
id: 264903021
{'hecke_orbit_code': 130604389227306616, 'n': 22, 'trace_an': 0}
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id: 264903022
{'hecke_orbit_code': 130604389227306616, 'n': 23, 'trace_an': 7}
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id: 264903023
{'hecke_orbit_code': 130604389227306616, 'n': 24, 'trace_an': 0}
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id: 264903024
{'hecke_orbit_code': 130604389227306616, 'n': 25, 'trace_an': 0}
-
id: 264903025
{'hecke_orbit_code': 130604389227306616, 'n': 26, 'trace_an': 0}
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id: 264903026
{'hecke_orbit_code': 130604389227306616, 'n': 27, 'trace_an': 2}
-
id: 264903027
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