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mf_newforms • Show schema
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{'Nk2': 5096, 'analytic_conductor': 10.172941217511122, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [1274, 3, [885, 197], [1, 3]], 'cm_discs': [], 'conrey_index': 79, '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, [0, 1]], [5, [4, -2, 1]], [11, [16, 4, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021941395162362, 'hecke_ring_generator_nbound': 2, '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, 7, 3, 1, 3, 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': False, 'label': '1274.2.f.g', 'level': 1274, '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, 7, 13], 'level_radical': 182, 'minimal_twist': '182.2.a.c', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\zeta_{6}q^{2}+(-1+\\zeta_{6})q^{4}+2\\zeta_{6}q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1274.2.f', 'trace_display': [-1, 0, 2, 0], 'trace_hash': 1014018578223795110, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.041', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.896', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.121', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.529', 'prec': 20}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'Nk2': 5096, 'analytic_conductor': 10.172941217511122, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [1274, 3, [885, 197], [1, 3]], 'conrey_index': 79, 'cusp_dim': 360, 'dim': 80, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 343630939386, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 6, 8, 8, 8], 'label': '1274.2.f', 'level': 1274, '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, 7, 13], 'level_radical': 182, 'mf_dim': 424, 'mf_new_dim': 80, 'num_forms': 27, 'prim_orbit_index': 3, 'relative_dim': 40, 'sturm_bound': 392, 'trace_bound': 5, 'trace_display': [0, 0, 0, 0], 'traces': [80, 0, 0, -40, 0, 0, 0, 0, -36, 4, 4, 0, 4, 0, -32, -40, 6, 0, -4, 0, 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40, -16, 0, -320, 144, -60, -48, 146, 224, 0, 476, -36, 8, 112, 212, -68, 0, -32, -154, -16, 390, -48, -264, 0, 56, 56, -16, 200, 72, 36, 0, 208, -64, 2, -60, -52, 248, 0, -200, 184, 8, 64, -12, -72, 0, 80, 48, 16, -248, 2, -272, 0, -616, 96, -122, 84, -124, 36], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 689648
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '182.2.a.c', 'target_level': 182, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 689649
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '1274.2.a.l', 'target_level': 1274, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 689650
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1274.2.f.f', 'target_level': 1274, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 689651
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1274.2.f.f', 'target_level': 1274, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 689652
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1274.2.f.g', 'target_level': 1274, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 689653
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 6, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1274.2.f.g', 'target_level': 1274, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 689654
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1456.2.a.i', 'target_level': 1456, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 689655
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1638.2.a.c', 'target_level': 1638, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 689656
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2366.2.a.d', 'target_level': 2366, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '91.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 689657
{'conductor': 91, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 4, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '2366.2.d.d', 'target_level': 2366, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '91.bb', 'twisting_char_orbit': 28, 'weight': 2}
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id: 689658
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '4550.2.a.g', 'target_level': 4550, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 689659
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '5824.2.a.l', 'target_level': 5824, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 689660
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 2, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '1274.2.f.g', 'source_level': 1274, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '5824.2.a.m', 'target_level': 5824, 'twist_class_label': '182.2.a.c', 'twist_class_level': 182, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1816425
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 2}
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id: 1816426
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 3}
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id: 1816427
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 5}
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id: 1816428
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 7}
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id: 1816429
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 11}
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id: 1816430
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 13}
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id: 1816431
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 17}
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id: 1816432
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 19}
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id: 1816433
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 23}
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id: 1816434
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 29}
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id: 1816435
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 31}
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id: 1816436
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 37}
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id: 1816437
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 41}
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id: 1816438
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 43}
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id: 1816439
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 47}
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id: 1816440
{'charpoly_factorization': [[[36, 6, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 53}
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id: 1816441
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 59}
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id: 1816442
{'charpoly_factorization': [[[100, -10, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 61}
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id: 1816443
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 67}
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id: 1816444
{'charpoly_factorization': [[[8, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 71}
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id: 1816445
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 73}
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id: 1816446
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 79}
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id: 1816447
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 83}
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id: 1816448
{'charpoly_factorization': [[[324, -18, 1], 1]], 'hecke_orbit_code': 27021941395162362, 'p': 89}
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id: 1816449
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 27021941395162362, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 6, 'hecke_orbit': 7, 'label': '1274.2.f.g', 'level': 1274, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 47363359
{'hecke_orbit_code': 27021941395162362, 'n': 1, 'trace_an': 2}
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id: 47363360
{'hecke_orbit_code': 27021941395162362, 'n': 2, 'trace_an': -1}
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id: 47363361
{'hecke_orbit_code': 27021941395162362, 'n': 3, 'trace_an': 0}
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id: 47363362
{'hecke_orbit_code': 27021941395162362, 'n': 4, 'trace_an': -1}
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id: 47363363
{'hecke_orbit_code': 27021941395162362, 'n': 5, 'trace_an': 2}
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id: 47363364
{'hecke_orbit_code': 27021941395162362, 'n': 6, 'trace_an': 0}
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id: 47363365
{'hecke_orbit_code': 27021941395162362, 'n': 7, 'trace_an': 0}
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id: 47363366
{'hecke_orbit_code': 27021941395162362, 'n': 8, 'trace_an': 2}
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id: 47363367
{'hecke_orbit_code': 27021941395162362, 'n': 9, 'trace_an': 3}
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id: 47363368
{'hecke_orbit_code': 27021941395162362, 'n': 10, 'trace_an': 2}
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id: 47363369
{'hecke_orbit_code': 27021941395162362, 'n': 11, 'trace_an': -4}
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id: 47363370
{'hecke_orbit_code': 27021941395162362, 'n': 12, 'trace_an': 0}
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