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mf_newforms • Show schema
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'analytic_rank': 1, 'analytic_rank_proved': True, 'char_conductor': 76, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 43, 'char_orbit_label': 'bq', 'char_order': 6, 'char_parity': 1, 'char_values': [1520, 6, [191, 1141, 1217, 401], [3, 6, 6, 5]], 'cm_discs': [], 'conrey_index': 31, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4, 2, 1]], [7, [3, 0, 1]], [11, [27, 0, 1]], [13, [0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506485878949360, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 76, 6, 1, 6, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '1520.2.bq.b', 'level': 1520, '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, 19], 'level_radical': 190, 'minimal_twist': '1520.2.bq.b', 'nf_label': '2.0.3.1', 'prim_orbit_index': 6, 'qexp_display': 'q+(-2+2\\zeta_{6})q^{3}+(-1+\\zeta_{6})q^{5}+(-1+\\cdots)q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1520.2.bq', 'trace_display': [0, -2, -1, 0], 'trace_hash': 1685871544830064198, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.073', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
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'conrey_index': 1471, 'dual_conrey_index': 31, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 2, 'embedding_root_imag': 0.8660254037844386, 'embedding_root_real': 0.5, 'hecke_orbit': 2, 'hecke_orbit_code': 4506485878949360, 'label': '1520.2.bq.b.1471.1', 'level': 1520, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 6080, 'analytic_conductor': 12.137261107234618, 'char_conductor': 76, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 43, 'char_orbit_label': 'bq', 'char_order': 6, 'char_parity': 1, 'char_values': [1520, 6, [191, 1141, 1217, 401], [3, 6, 6, 5]], 'conrey_index': 31, 'cusp_dim': 456, 'dim': 80, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11, 13], 'hecke_orbit_code': 2886251578864, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 6, 8, 8, 12, 12], 'label': '1520.2.bq', 'level': 1520, '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, 19], 'level_radical': 190, 'mf_dim': 504, 'mf_new_dim': 80, 'num_forms': 18, 'prim_orbit_index': 6, 'relative_dim': 40, 'sturm_bound': 480, 'trace_bound': 19, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, -24, 0, 0, 0, 24, 0, 0, 0, -24, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 0, 0, 0, 0, -88, 0, 0, 0, 72, 0, 0, 0, -8, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 44, 0, 0, 0, 48, 0, 0, 0, -16, 0, 0, 0, 0, 0, 0, 0, 108, 0, 0, 0, 8, 0, 0, 0, -36, 0, 0, 0, 48, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 96, 0, 0, 0, -176, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, 24, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, -336, 0, 0, 0, -88, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 144, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -24, 0, 0, 0, 48, 0, 0, 0, 200, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -192, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -28, 0, 0, 0, 256, 0, 0, 0, 108, 0, 0, 0, 16, 0, 0, 0, -84, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 216, 0, 0, 0, 96, 0, 0, 0, -128, 0, 0, 0, -72, 0, 0, 0, 48, 0, 0, 0, 32, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -48, 0, 0, 0, -8, 0, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 24, 0, 0, 0, 24, 0, 0, 0, -96, 0, 0, 0, -312, 0, 0, 0, 228, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -32, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, -40, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 168, 0, 0, 0, -16, 0, 0, 0, 108, 0, 0, 0, 0, 0, 0, 0, 324, 0, 0, 0, -80, 0, 0, 0, 396, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -240, 0, 0, 0, -168, 0, 0, 0, -48, 0, 0, 0, 176, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -200, 0, 0, 0, 8, 0, 0, 0, -96, 0, 0, 0, -72, 0, 0, 0, -480, 0, 0, 0, -144, 0, 0, 0, -72, 0, 0, 0, -168, 0, 0, 0, -144, 0, 0, 0, 204, 0, 0, 0, 0, 0, 0, 0, -288, 0, 0, 0, 432, 0, 0, 0, -48, 0, 0, 0, -72, 0, 0, 0, 148, 0, 0, 0, 72, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 100, 0, 0, 0, 480, 0, 0, 0, -84, 0, 0, 0, 56, 0, 0, 0, 0, 0, 0, 0, 176, 0, 0, 0, -48, 0, 0, 0, 24, 0, 0, 0, 144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 144, 0, 0, 0, -232, 0, 0, 0, -240, 0, 0, 0, 0, 0, 0, 0, 64, 0, 0, 0, -12, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -432, 0, 0, 0, -112, 0, 0, 0, 132, 0, 0, 0, 144, 0, 0, 0, -40, 0, 0, 0, -144, 0, 0, 0, 80, 0, 0, 0, 264, 0, 0, 0, 36, 0, 0, 0, 0, 0, 0, 0, -252, 0, 0, 0, 48, 0, 0, 0, 320, 0, 0, 0, 0, 0, 0, 0, 156, 0, 0, 0, 88, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 228, 0, 0, 0, 96, 0, 0, 0, 144, 0, 0, 0, -288, 0, 0, 0, 288, 0, 0, 0, -144, 0, 0, 0, -216, 0, 0, 0, 176, 0, 0, 0, 432, 0, 0, 0, -288, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -160, 0, 0, 0, 128, 0, 0, 0, 36, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -248, 0, 0, 0, -288, 0, 0, 0, -192, 0, 0, 0, -160, 0, 0, 0, -216, 0, 0, 0, 144, 0, 0, 0, -216, 0, 0, 0, 36, 0, 0, 0, 432, 0, 0, 0, 96, 0, 0, 0, 0, 0, 0, 0, -540, 0, 0, 0, 192, 0, 0, 0, 264, 0, 0, 0, 792, 0, 0, 0, -480, 0, 0, 0, -96, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, 272, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, 36, 0, 0, 0, -8, 0, 0, 0, 108, 0, 0, 0, 360, 0, 0, 0, 36, 0, 0, 0, -216, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, 48, 0, 0, 0, 288, 0, 0, 0, -228, 0, 0, 0, -240, 0, 0, 0, -144, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -72, 0, 0, 0, -648, 0, 0, 0, 96, 0, 0, 0, 52, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 72, 0, 0, 0, -284, 0, 0, 0, 72, 0, 0, 0, 360, 0, 0, 0, 0, 0, 0, 0, -324, 0, 0, 0, 48, 0, 0, 0, 528, 0, 0, 0, 0, 0, 0, 0, 120, 0, 0, 0, -120, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -36, 0, 0, 0, 384, 0, 0, 0, 244, 0, 0, 0, 128, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 39436798
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1471, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506485878949360, 'source_is_minimal': True, 'source_label': '1520.2.bq.b.1471.1', 'source_level': 1520, 'target_conrey_index': 1471, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506485878949360, 'target_is_minimal': True, 'target_label': '1520.2.bq.b.1471.1', 'target_level': 1520, 'twist_class_label': '1520.2.bq.b.31.1', 'twist_class_level': 1520, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 39436799
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1471, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506485878949360, 'source_is_minimal': True, 'source_label': '1520.2.bq.b.1471.1', 'source_level': 1520, 'target_conrey_index': 1471, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31528083643172336, 'target_is_minimal': True, 'target_label': '1520.2.bq.h.1471.1', 'target_level': 1520, 'twist_class_label': '1520.2.bq.b.31.1', 'twist_class_level': 1520, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 39436800
{'conductor': 19, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 1471, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506485878949360, 'source_is_minimal': True, 'source_label': '1520.2.bq.b.1471.1', 'source_level': 1520, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31528083643172336, 'target_is_minimal': True, 'target_label': '1520.2.bq.h.31.1', 'target_level': 1520, 'twist_class_label': '1520.2.bq.b.31.1', 'twist_class_level': 1520, 'twisting_char_label': '19.12', 'twisting_conrey_index': 12, 'weight': 2}
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id: 39436801
{'conductor': 76, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 1471, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 4506485878949360, 'source_is_minimal': True, 'source_label': '1520.2.bq.b.1471.1', 'source_level': 1520, 'target_conrey_index': 31, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506485878949360, 'target_is_minimal': True, 'target_label': '1520.2.bq.b.31.1', 'target_level': 1520, 'twist_class_label': '1520.2.bq.b.31.1', 'twist_class_level': 1520, 'twisting_char_label': '76.31', 'twisting_conrey_index': 31, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2008400
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4506485878949360, 'p': 2}
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id: 2008401
{'charpoly_factorization': [[[4, 2, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 3}
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id: 2008402
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 5}
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id: 2008403
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 7}
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id: 2008404
{'charpoly_factorization': [[[27, 0, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 11}
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id: 2008405
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4506485878949360, 'p': 13}
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id: 2008406
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4506485878949360, 'p': 17}
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id: 2008407
{'charpoly_factorization': [[[19, 7, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 19}
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id: 2008408
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 23}
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id: 2008409
{'charpoly_factorization': [[[12, -6, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 29}
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id: 2008410
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 4506485878949360, 'p': 31}
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id: 2008411
{'charpoly_factorization': [[[3, 0, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 37}
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id: 2008412
{'charpoly_factorization': [[[75, 15, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 41}
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id: 2008413
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4506485878949360, 'p': 43}
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id: 2008414
{'charpoly_factorization': [[[12, 6, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 47}
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id: 2008415
{'charpoly_factorization': [[[27, -9, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 53}
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id: 2008416
{'charpoly_factorization': [[[144, -12, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 59}
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id: 2008417
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 61}
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id: 2008418
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 67}
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id: 2008419
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 71}
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id: 2008420
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 73}
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id: 2008421
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 79}
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id: 2008422
{'charpoly_factorization': [[[108, 0, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 83}
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id: 2008423
{'charpoly_factorization': [[[243, 27, 1], 1]], 'hecke_orbit_code': 4506485878949360, 'p': 89}
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id: 2008424
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 4506485878949360, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 43, 'hecke_orbit': 2, 'label': '1520.2.bq.b', 'level': 1520, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 25515661
{'hecke_orbit_code': 4506485878949360, 'n': 1, 'trace_an': 2}
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id: 25515662
{'hecke_orbit_code': 4506485878949360, 'n': 2, 'trace_an': 0}
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id: 25515663
{'hecke_orbit_code': 4506485878949360, 'n': 3, 'trace_an': -2}
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id: 25515664
{'hecke_orbit_code': 4506485878949360, 'n': 4, 'trace_an': 0}
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id: 25515665
{'hecke_orbit_code': 4506485878949360, 'n': 5, 'trace_an': -1}
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id: 25515666
{'hecke_orbit_code': 4506485878949360, 'n': 6, 'trace_an': 0}
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id: 25515667
{'hecke_orbit_code': 4506485878949360, 'n': 7, 'trace_an': 0}
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id: 25515668
{'hecke_orbit_code': 4506485878949360, 'n': 8, 'trace_an': 0}
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id: 25515669
{'hecke_orbit_code': 4506485878949360, 'n': 9, 'trace_an': -1}
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id: 25515670
{'hecke_orbit_code': 4506485878949360, 'n': 10, 'trace_an': 0}
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id: 25515671
{'hecke_orbit_code': 4506485878949360, 'n': 11, 'trace_an': 0}
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id: 25515672
{'hecke_orbit_code': 4506485878949360, 'n': 12, 'trace_an': 0}
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id: 25515673
{'hecke_orbit_code': 4506485878949360, 'n': 13, 'trace_an': 0}
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id: 25515674
{'hecke_orbit_code': 4506485878949360, 'n': 14, 'trace_an': 0}
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