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{'Nk2': 34680, 'analytic_conductor': 69.2302985524501, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, -1], [5, 1], [17, -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': [8670, 1, [2891, 6937, 6361], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 3, 'field_disc': 81, 'field_disc_factorization': [[3, 4]], 'field_poly': [-1, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 18, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [1, -3, 0, 1]], [11, [-9, -9, 0, 1]], [13, [1, -3, 0, 1]], [23, [9, -9, 0, 1]]], 'hecke_orbit': 40, 'hecke_orbit_code': 175640385501012446, '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_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '8670.2.a.bn', 'level': 8670, '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, 3, 5, 17], 'level_radical': 510, 'minimal_twist': '8670.2.a.bm', 'nf_label': '3.3.81.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{2}+q^{3}+q^{4}-q^{5}-q^{6}-\\beta _{1}q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '8670.2.a', 'trace_display': [-3, 3, -3, 0], 'trace_hash': 972816939922328062, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.756', 'prec': 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [11, 12, 10, 12, 16, 7, 8, 15, 10, 12, 11, 12, 8, 15, 16, 7], 'Nk2': 34680, 'analytic_conductor': 69.2302985524501, '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': [8670, 1, [2891, 6937, 6361], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1765, 'dim': 182, 'eis_dim': 143, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 23], 'hecke_orbit_code': 33563102, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 3, 3, 3, 3, 4, 4, 4, 4, 4, 4, 4, 4, 6, 6, 6, 6, 6, 6, 6, 6, 8, 8, 8, 8], 'label': '8670.2.a', 'level': 8670, '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, 3, 5, 17], 'level_radical': 510, 'mf_dim': 1908, 'mf_new_dim': 182, 'num_forms': 65, 'plus_dim': 76, 'prim_orbit_index': 1, 'relative_dim': 182, 'sturm_bound': 3672, 'trace_bound': 13, 'trace_display': [0, 2, 0, 4], 'traces': [182, 0, 2, 182, 0, 0, 4, 0, 182, 2, -4, 2, -8, -4, 0, 182, 0, 0, 0, 0, 4, -4, -8, 0, 182, 12, 2, 4, -24, -2, -16, 0, -12, 0, -4, 182, -8, 8, 8, 2, 4, -12, 0, -4, 0, 0, -16, 2, 150, 0, 0, -8, -16, 0, -12, -4, 16, 4, -20, 0, 4, 8, 4, 182, 12, 4, -8, 0, -8, -4, 24, 0, 44, 20, 2, 0, -16, -4, -16, 0, 182, 32, 16, 4, 0, 16, 8, -4, -36, 2, 40, -8, 32, -8, -24, 0, 4, 48, -4, 182, 24, 0, 4, 12, -4, 12, -16, 2, 4, -4, 16, 4, 48, 8, 16, -24, -8, -12, 0, -2, 214, 24, 12, -16, 0, -4, 4, 0, 16, 8, -12, -12, -16, -24, 0, 0, 0, -8, 40, -4, 16, -8, 8, 182, -20, 40, 34, -8, -32, 0, -24, 8, 0, -32, -8, 8, 8, 24, -16, 2, -48, 0, 16, 4, 12, -24, -24, -12, 186, 0, 0, 0, -48, -20, 4, -4, -4, 40, -100, 0, 20, -56, 4, 0, -28, 8, 0, -16, 4, 16, -8, 2, -36, 0, 4, 150, 16, -4, 8, 0, 8, -4, -56, 0, -32, -36, -8, -8, -48, 4, -40, -16, -8, -40, -16, 0, 392, -40, 340, -12, 0, -20, 284, -4, 182, -20, 40, 16, 324, -8, 16, 4, -24, 12, 16, -20, 328, 0, -72, 0, -20, -48, 2, 4, -16, -16, 312, 8, -16, 2, -60, 4, -48, -36, 0, 182, -32, -16, 304, 12, -24, -44, -104, 4, -4, -16, -20, -8, 104, -2, -8, 0, 352, 28, -4, -8, -8, 0, -16, -4, -100, -16, 80, 24, 8, -24, -120, 0, 0, 24, 36, 44, -32, -16, -12, 20, -12, -12, -48, 2, -48, -64, -56, 0, -8, 0, 280, -16, 20, -24, -24, -4, -4, -4, -4, -16, -128, -4, -56, 0, 0, -16, 0, 182, -8, -40, 396, 32, 112, 12, -64, 16, -8, -32, -8, 4, -100, 0, 0, 0, 0, 8, 56, 16, -16, 60, -8, 8, 348, -4, 8, -4, 40, 20, 24, -36, 0, -28, -112, 2, 174, 72, -6, 40, 8, -56, 52, -8, 4, -24, -88, 32, 176, 0, 0, -8, -8, -12, 8, -24, -44, -104, -48, 0, 16, -24, 0, 4, 32, 0, 0, 48, -36, -36, -40, -4, 56, -48, 376, 182, 28, 24, -32, 24, 0, -8, -40, 0, 60, 4, 32, 4, 112, 0, 24, 12, -16, 16, 20, -4, -20, -32, -16, 12, 0, -24, 416, -16, -24, 0, 80, 2, -4, -16, -12, 4, 32, -8, 104, -4, 150, 0, -104, 16, -8, -4, -48, 4, 12, 0, 24, 48, 0, 0, 56, 8, 332, -80, 0, 16, 16, 16, -68, -24, 24, 52, 64, -8, 48, -16, -56, -12, 16, -24, 0, 0, -16, -24, 120, -2, -24, -48, 48, 214, 32, 0, 60, 24, 336, 34, -44, 12, 0, -112, -12, -16, -112, -8, 32, 0, -8, -68, -80, -4, 44, -80, 46, 4, -8, 0, -104, 0, 16, -20, 44, 16, 96, -56, 0, 8, -4, 4, 272, -12, 4, 0, 0, -12, 190, 48, -20, -16, 48, 24, -8, -24, -20, -12, 92, 0, -28, -64, -12, 0, -40, 40, -104, 0, 4, -4, -48, -8, -144, 4, 20, 40, -112, 8, 168, -4, 0, 8, -40, 16, 28, -24, 4, -8, -260, 0, 64, 8, 40, 24, -8, 182, -44, 0, 44, -20, 112, 0, -56, 40, 12, -68, -80, 34, 0, 12, -32, -8, -96, 4, 0, -32, 320, -16, -128, 0, -132, -96, -8, -24, 16, -4, -4, 8, -24, -4, -144, 0, -80, -96, -32, -32, 24, -20, -104, -8, -8, -24, 40, 8, 182, 24, 48, 8, 0, -4, -96, 24, -32, -4, 12, -16, 256, -40, 24, 2, 4, -40, -80, -48, -16, 0, 0, 0, 48, 12, 16, 16, -96, 24, 12, 4, 44, -16, -92, 12, -60, -136, 0, -24, 0, 20, -80, -24, -60, -8, -72, -12, -20, 104, 2, 186, -80, -84, 176, 0, -8, -48, -128, 0, -44, 40, 44, 0, -104, 24, -16, -48, -16, -32, -96, -20, 0, -88, 88, 4, -168, -4, -48, -4, 0, -92, -72, -4, -52, -24, -16, 40, -48, 0, -40, -100, -88, -80, 48, 0, -16, -64, 284, 20, -24, 16, -52, -56, 182, -12, 0, 4, 16, -164, 16, 0, 16, 32, 48, -28, 16, 88, -48, 8, -12, -68, 16, 0, -80, -2, -80, -16, 4, 32, 0, 4, -128, -144, -48, 16, -132, 60, -24, -8, 0, -40, -136, 2, 292, 16, -16, -36, -208, 16, -16, 0, 24, -60, -32, 4, -112, 0, 8, 150, -4, 12, -48, 16, -24, -40, -184, -4, -144, 20, -12, 8, -160, 32, 0, 0, -36, 104, -200, 8, 48, 64, -72, -4, 4, 2, -40, -56, -32, -120, -24, 0, 88, 0, 40, -32, -72, -12, -20, -36, -12, -32, -184, -8, -92, 16, -32, -8, 0, -16, -32, -48, 32, 52, -64, 4, 154, -16, 76, -40, -32, -8, 20, -16, -56, 0, -128, -8, 104, -24, -24, -40, 56, 8, -40, -16, 40, 16, -136, 0, -4, 8, 0, 392, -192, -8, 248, -40, 4, -64, -4, 340, -96, 0, -48, -12, -20, 48, 352, 0, -44, 96, 88, -20, -16, -20, -4, 284, -48, 4, 52, -4, 32, -40, -16, 182, 0, 72, 376, -20, -8, 0, 56, 40, 24, -40, -160, 16, 16, 80, 8, 324, 32, 0, 408, -8, -32, -108, 32, 16, -8, -108, 4, 4, 188, -16, 200, -24, -56, -56, 0, 12, -172, -32, -36, 16, -16, -20, -176, -20, -4, -16, -24, 328, -32, 8, 0, 0, -128, 12, -8, -72, -56, -24, 72, 0, 94, 80, -16, -20, -56, 0, 300, -48, 0, 28, -220, 2, 344, -44, 8, 4, 72, 56, 88, -16, 4, -52, 192, -16, -52, 0, -192, 312, -80, -4, 72, 8, -16, 64, 0, -16, 112, 24, 16, 2], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1401562
{'conductor': 17, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': True, 'source_label': '8670.2.a.bn', 'source_level': 8670, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 39, 'target_is_minimal': True, 'target_label': '8670.2.a.bm', 'target_level': 8670, 'twist_class_label': '8670.2.a.bm', 'twist_class_level': 8670, 'twisting_char_label': '17.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1401563
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 3, 'source_hecke_orbit': 40, 'source_is_minimal': True, 'source_label': '8670.2.a.bn', 'source_level': 8670, 'target_char_orbit': 1, 'target_dim': 3, 'target_hecke_orbit': 40, 'target_is_minimal': True, 'target_label': '8670.2.a.bn', 'target_level': 8670, 'twist_class_label': '8670.2.a.bm', 'twist_class_level': 8670, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4815375
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 175640385501012446, 'p': 2}
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id: 4815376
{'charpoly_factorization': [[[-1, 1], 3]], 'hecke_orbit_code': 175640385501012446, 'p': 3}
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id: 4815377
{'charpoly_factorization': [[[1, 1], 3]], 'hecke_orbit_code': 175640385501012446, 'p': 5}
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id: 4815378
{'charpoly_factorization': [[[1, -3, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 7}
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id: 4815379
{'charpoly_factorization': [[[-9, -9, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 11}
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id: 4815380
{'charpoly_factorization': [[[1, -3, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 13}
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id: 4815381
{'charpoly_factorization': [[[0, 1], 3]], 'hecke_orbit_code': 175640385501012446, 'p': 17}
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id: 4815382
{'charpoly_factorization': [[[-17, 15, 9, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 19}
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id: 4815383
{'charpoly_factorization': [[[9, -9, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 23}
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id: 4815384
{'charpoly_factorization': [[[-72, -36, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 29}
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id: 4815385
{'charpoly_factorization': [[[-8, -12, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 31}
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id: 4815386
{'charpoly_factorization': [[[-53, -21, 9, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 37}
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id: 4815387
{'charpoly_factorization': [[[9, -9, -9, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 41}
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id: 4815388
{'charpoly_factorization': [[[-8, -12, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 43}
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id: 4815389
{'charpoly_factorization': [[[153, -117, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 47}
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id: 4815390
{'charpoly_factorization': [[[-153, 99, -18, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 53}
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id: 4815391
{'charpoly_factorization': [[[243, -81, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 59}
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id: 4815392
{'charpoly_factorization': [[[-8, -12, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 61}
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id: 4815393
{'charpoly_factorization': [[[136, 96, 18, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 67}
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id: 4815394
{'charpoly_factorization': [[[-72, -36, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 71}
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id: 4815395
{'charpoly_factorization': [[[4, 1], 3]], 'hecke_orbit_code': 175640385501012446, 'p': 73}
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id: 4815396
{'charpoly_factorization': [[[-584, -60, 12, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 79}
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id: 4815397
{'charpoly_factorization': [[[72, 72, -18, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 83}
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id: 4815398
{'charpoly_factorization': [[[-9, -9, 0, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 89}
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id: 4815399
{'charpoly_factorization': [[[-152, 24, 18, 1], 1]], 'hecke_orbit_code': 175640385501012446, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 40, 'label': '8670.2.a.bn', 'level': 8670, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 70493317
{'hecke_orbit_code': 175640385501012446, 'n': 1, 'trace_an': 3}
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id: 70493318
{'hecke_orbit_code': 175640385501012446, 'n': 2, 'trace_an': -3}
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id: 70493319
{'hecke_orbit_code': 175640385501012446, 'n': 3, 'trace_an': 3}
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id: 70493320
{'hecke_orbit_code': 175640385501012446, 'n': 4, 'trace_an': 3}
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id: 70493321
{'hecke_orbit_code': 175640385501012446, 'n': 5, 'trace_an': -3}
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id: 70493322
{'hecke_orbit_code': 175640385501012446, 'n': 6, 'trace_an': -3}
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id: 70493323
{'hecke_orbit_code': 175640385501012446, 'n': 7, 'trace_an': 0}
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id: 70493324
{'hecke_orbit_code': 175640385501012446, 'n': 8, 'trace_an': -3}
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id: 70493325
{'hecke_orbit_code': 175640385501012446, 'n': 9, 'trace_an': 3}
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id: 70493326
{'hecke_orbit_code': 175640385501012446, 'n': 10, 'trace_an': 3}
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id: 70493327
{'hecke_orbit_code': 175640385501012446, 'n': 11, 'trace_an': 0}
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id: 70493328
{'hecke_orbit_code': 175640385501012446, 'n': 12, 'trace_an': 3}
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id: 70493329
{'hecke_orbit_code': 175640385501012446, 'n': 13, 'trace_an': 0}
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id: 70493330
{'hecke_orbit_code': 175640385501012446, 'n': 14, 'trace_an': 0}
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id: 70493331
{'hecke_orbit_code': 175640385501012446, 'n': 15, 'trace_an': -3}
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id: 70493332
{'hecke_orbit_code': 175640385501012446, 'n': 16, 'trace_an': 3}
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id: 70493333
{'hecke_orbit_code': 175640385501012446, 'n': 17, 'trace_an': 0}
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id: 70493334
{'hecke_orbit_code': 175640385501012446, 'n': 18, 'trace_an': -3}
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id: 70493335
{'hecke_orbit_code': 175640385501012446, 'n': 19, 'trace_an': -9}
-
id: 70493336
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id: 70493574
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