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{'Nk2': 14880, 'analytic_conductor': 29.7043495519163, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, 1], [3, 1], [5, 1], [31, 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': [3720, 1, [2791, 1861, 1241, 2977, 1801], [1, 1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 2, 'field_disc': 5, 'field_disc_factorization': [[5, 1]], 'field_poly': [-1, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': True, 'field_poly_root_of_unity': 10, 'fricke_eigenval': 1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [-4, -2, 1]], [11, [0, 1]], [13, [-4, 2, 1]], [17, [-20, 0, 1]]], 'hecke_orbit': 9, 'hecke_orbit_code': 36028797052522120, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '3720.2.a.i', 'level': 3720, '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, 31], 'level_radical': 930, 'minimal_twist': '3720.2.a.i', 'nf_label': '2.2.5.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{3}-q^{5}+(1+\\beta )q^{7}+q^{9}+(-1+\\cdots)q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '3720.2.a', 'trace_display': [0, -2, -2, 2], 'trace_hash': 65628101059793509, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.999', 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [-1, 0], [0, 0], [-1, 0], [0, 0], [1, 1], [0, 0], [1, 0], [0, 0], [0, 0], [0, 0], [-1, 1], [0, 0], [1, 0], [0, 0], [0, -2], [0, 0], [2, -2], [0, 0], [-1, -1], [0, 0], [-4, 0], [0, 0], [1, 0], [0, 0], [-1, 0], [0, 0], [-5, 1], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [-1, -1], [0, 0], [7, 1], [0, 0], [1, -1], [0, 0], [-6, 0], [0, 0], [2, -2], [0, 0], [-1, 0], [0, 0], [0, -4], [0, 0], [-1, 2], [0, 0], [0, 2], [0, 0], [4, -2], [0, 0], [0, 0], [0, 0], [-2, 2], [0, 0], [9, 1], [0, 0], [-8, 2], [0, 0], [1, 1], [0, 0], [1, -1], [0, 0], [-3, -3], [0, 0], [4, 0], [0, 0], [-7, 1], [0, 0], [1, -5], [0, 0], [-1, 0], [0, 0], [0, 0], [0, 0], [0, 4], [0, 0], [1, 0], [0, 0], [4, 4], [0, 0], [0, 2], [0, 0], [5, -1], [0, 0], [-5, 1], [0, 0], [4, 0], [0, 0], [1, 0], [0, 0], [-2, 2], [0, 0], [-4, 2], [0, 0], [0, 0], [0, 0]], 'ap': [[0, 0], [-1, 0], [-1, 0], [1, 1], [0, 0], [-1, 1], [0, -2], [2, -2], [-4, 0], [-5, 1], [-1, 0], [7, 1], [-6, 0], [2, -2], [0, -4], [4, -2], [9, 1], [-8, 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-4], [-33, -1], [-28, -14], [68, -8], [47, 5], [23, -7], [28, 16], [63, -9], [22, 4], [42, 20], [-2, 46], [-57, -19], [64, -4], [-64, -8]], 'char_orbit_index': 1, 'field_poly': [-1, -1, 1], 'hecke_orbit_code': 36028797052522120, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1], 'hecke_ring_inverse_denominators': [1, 2], 'hecke_ring_inverse_numerators': [[1, 0], [1, 1]], 'hecke_ring_numerators': [[1, 0], [-1, 2]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 2, 'label': '3720.2.a.i', 'level': 3720, 'maxp': 2999, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [3, 4, 5, 3, 5, 2, 2, 6, 4, 4, 4, 3, 3, 5, 4, 3], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [1, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'ALdims_old': [40, 44, 43, 45, 47, 44, 44, 40, 46, 40, 44, 45, 41, 45, 42, 43], 'Nk2': 14880, 'analytic_conductor': 29.7043495519163, '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': [3720, 1, [2791, 1861, 1241, 2977, 1801], [1, 1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 753, 'dim': 60, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558152, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 3, 3, 3, 3, 3, 4, 4, 4, 4, 5, 5, 5], 'label': '3720.2.a', 'level': 3720, '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, 31], 'level_radical': 930, 'mf_dim': 784, 'mf_new_dim': 60, 'num_forms': 23, 'plus_dim': 24, 'prim_orbit_index': 1, 'relative_dim': 60, 'sturm_bound': 1536, 'trace_bound': 7, 'trace_display': [0, 0, 0, 0], 'traces': [60, 0, 0, 0, 0, 0, 0, 0, 60, 0, 8, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, 60, 0, 0, 0, 0, 0, 0, 0, 8, 0, 8, 0, 16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 0, 0, 52, 0, 0, 0, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 0, -24, 0, -24, 0, 16, 0, -32, 0, 0, 0, 0, 0, 0, 0, 32, 0, 60, 0, -16, 0, 0, 0, 16, 0, -24, 0, 48, 0, 4, 0, 16, 0, 40, 0, 8, 0, 32, 0, -16, 0, 0, 0, 32, 0, 8, 0, 16, 0, 32, 0, 8, 0, 0, 0, 64, 0, 36, 0, 0, 0, 0, 0, 80, 0, 8, 0, -8, 0, 16, 0, 0, 0, 32, 0, 40, 0, -48, 0, 80, 0, 0, 0, 32, 0, 32, 0, 64, 0, 0, 0, 0, 0, -16, 0, 16, 0, 32, 0, 40, 0, 8, 0, -16, 0, 84, 0, 8, 0, 48, 0, 0, 0, 16, 0, -40, 0, -32, 0, 16, 0, -24, 0, -16, 0, 0, 0, -32, 0, 72, 0, -24, 0, 96, 0, -16, 0, 16, 0, -16, 0, 16, 0, 0, 0, 16, 0, -40, 0, -48, 0, 16, 0, 16, 0, 32, 0, 112, 0, 0, 0, 60, 0, 0, 0, 64, 0, 0, 0, 64, 0, -16, 0, 32, 0, 32, 0, 88, 0, 0, 0, 0, 0, 64, 0, 0, 0, -56, 0, 48, 0, 0, 0, 112, 0, 32, 0, 0, 0, -16, 0, -8, 0, 8, 0, 16, 0, 32, 0, 64, 0, 8, 0, 16, 0, 0, 0, -40, 0, -40, 0, 0, 0, -144, 0, 100, 0, 0, 0, 16, 0, -32, 0, 8, 0, -128, 0, 64, 0, 16, 0, -16, 0, 24, 0, 48, 0, -32, 0, -32, 0, 8, 0, 16, 0, -80, 0, -48, 0, -96, 0, 0, 0, 64, 0, -160, 0, -120, 0, 16, 0, -32, 0, -32, 0, 0, 0, 0, 0, 48, 0, 8, 0, -96, 0, 8, 0, 0, 0, 16, 0, -32, 0, -16, 0, -96, 0, 52, 0, 32, 0, 0, 0, 48, 0, -24, 0, -144, 0, 80, 0, 0, 0, -16, 0, 56, 0, 40, 0, -128, 0, -48, 0, 0, 0, 0, 0, -16, 0, -16, 0, 0, 0, -48, 0, 80, 0, 8, 0, -24, 0, 0, 0, -80, 0, -72, 0, -32, 0, 32, 0, 48, 0, 16, 0, -136, 0, 56, 0, 0, 0, 0, 0, -32, 0, 0, 0, 128, 0, 64, 0, -24, 0, -64, 0, 32, 0, 52, 0, 0, 0, 16, 0, 80, 0, -104, 0, -144, 0, 48, 0, -96, 0, 64, 0, 0, 0, 80, 0, 96, 0, 8, 0, 16, 0, 0, 0, 16, 0, -32, 0, 8, 0, 0, 0, -64, 0, -128, 0, -16, 0, 0, 0, 16, 0, 32, 0, 120, 0, 0, 0, 0, 0, -64, 0, -104, 0, 48, 0, -96, 0, -32, 0, 32, 0, 64, 0, 64, 0, 0, 0, 56, 0, 224, 0, -64, 0, -136, 0, 128, 0, 0, 0, 0, 0, 116, 0, 8, 0, -64, 0, 0, 0, -72, 0, -72, 0, 56, 0, 96, 0, 0, 0, -152, 0, 0, 0, -160, 0, -240, 0, -8, 0, -96, 0, 48, 0, 0, 0, -160, 0, 56, 0, 0, 0, -8, 0, 72, 0, 0, 0, 0, 0, -216, 0, 16, 0, 48, 0, -128, 0, -24, 0, 16, 0, 0, 0, -64, 0, 0, 0, -48, 0, 80, 0, 48, 0, -8, 0, -24, 0, 64, 0, 32, 0, -16, 0, -16, 0, 0, 0, 32, 0, -128, 0, -8, 0, 16, 0, 208, 0, 60, 0, -144, 0, -64, 0, -80, 0, -96, 0, -40, 0, 48, 0, -32, 0, -104, 0, -32, 0, 16, 0, 16, 0, -64, 0, 0, 0, -208, 0, -32, 0, 0, 0, 120, 0, -72, 0, -16, 0, 0, 0, 0, 0, -24, 0, -32, 0, -32, 0, 0, 0, -192, 0, 0, 0, 112, 0, -160, 0, -48, 0, 32, 0, -112, 0, -184, 0, 0, 0, 64, 0, -96, 0, 16, 0, -80, 0, -64, 0, 0, 0, 0, 0, -64, 0, 32, 0, 0, 0, 48, 0, 32, 0, 80, 0, 48, 0, -16, 0, 0, 0, -80, 0, 60, 0, -64, 0, 144, 0, 32, 0, 48, 0, -56, 0, 64, 0, 112, 0, 80, 0, -16, 0, -64, 0, 16, 0, -8, 0, -96, 0, -128, 0, -96, 0, -72, 0, -32, 0, 0, 0, -336, 0, -16, 0, -48, 0, -64, 0, 0, 0, -16, 0, -160, 0, 48, 0, 16, 0, -72, 0, 112, 0, 48, 0, 48, 0, 128, 0, -24, 0, -160, 0, -96, 0, -24, 0, -80, 0, -48, 0, -80, 0, -104, 0, -216, 0, 112, 0, -80, 0, 128, 0, 48, 0, -288, 0, 64, 0, 8, 0, -32, 0, -176, 0, 80, 0, -64, 0, -40, 0, 4, 0, 128, 0, 36, 0, 0, 0, -32, 0, 432, 0, 32, 0, 128, 0, -48, 0, 16, 0, -112, 0, -216, 0, 32, 0, -304, 0, 24, 0, -64, 0, -112, 0, 64, 0, 40, 0, 8, 0, 160, 0, 16, 0, 184, 0, -128, 0, -48, 0, 336, 0, -144, 0, 8, 0, -64, 0, 32, 0, -96, 0, 0, 0, 48, 0, 112, 0, -16, 0, -184, 0, 32, 0, -48, 0, -96, 0, -16, 0, -224, 0, 0, 0, 128, 0, -192, 0, 16, 0, -16, 0, -8, 0, 0, 0, 48, 0, 16, 0, 40, 0, 8, 0, 64, 0, 128, 0, 0, 0, -128, 0, -96, 0, -80, 0, 144, 0, -56, 0, -96, 0, -32, 0, 60, 0, 32, 0, 64, 0, 32, 0, -144, 0, -264, 0, 0, 0, 0, 0, 224, 0, -136, 0, 8, 0, 176, 0, -72, 0, 80, 0, -144, 0, -112, 0, -16, 0, 48, 0, -48, 0, 16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1142500
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3720.2.a.i', 'source_level': 3720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': True, 'target_label': '3720.2.a.i', 'target_level': 3720, 'twist_class_label': '3720.2.a.i', 'twist_class_level': 3720, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1142501
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 2, 'source_hecke_orbit': 9, 'source_is_minimal': True, 'source_label': '3720.2.a.i', 'source_level': 3720, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7440.2.a.bi', 'target_level': 7440, 'twist_class_label': '3720.2.a.i', 'twist_class_level': 3720, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3327450
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028797052522120, 'p': 2}
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id: 3327451
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36028797052522120, 'p': 3}
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id: 3327452
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36028797052522120, 'p': 5}
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id: 3327453
{'charpoly_factorization': [[[-4, -2, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 7}
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id: 3327454
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 36028797052522120, 'p': 11}
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id: 3327455
{'charpoly_factorization': [[[-4, 2, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 13}
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id: 3327456
{'charpoly_factorization': [[[-20, 0, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 17}
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id: 3327457
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 19}
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id: 3327458
{'charpoly_factorization': [[[4, 1], 2]], 'hecke_orbit_code': 36028797052522120, 'p': 23}
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id: 3327459
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 29}
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id: 3327460
{'charpoly_factorization': [[[1, 1], 2]], 'hecke_orbit_code': 36028797052522120, 'p': 31}
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id: 3327461
{'charpoly_factorization': [[[44, -14, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 37}
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id: 3327462
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 36028797052522120, 'p': 41}
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id: 3327463
{'charpoly_factorization': [[[-16, -4, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 43}
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id: 3327464
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 47}
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id: 3327465
{'charpoly_factorization': [[[-4, -8, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 53}
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id: 3327466
{'charpoly_factorization': [[[76, -18, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 59}
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id: 3327467
{'charpoly_factorization': [[[44, 16, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 61}
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id: 3327468
{'charpoly_factorization': [[[-36, 6, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 67}
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id: 3327469
{'charpoly_factorization': [[[44, 14, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 71}
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id: 3327470
{'charpoly_factorization': [[[-124, -2, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 73}
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id: 3327471
{'charpoly_factorization': [[[-80, 0, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 79}
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id: 3327472
{'charpoly_factorization': [[[-64, -8, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 83}
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id: 3327473
{'charpoly_factorization': [[[20, 10, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 89}
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id: 3327474
{'charpoly_factorization': [[[-4, 8, 1], 1]], 'hecke_orbit_code': 36028797052522120, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 9, 'label': '3720.2.a.i', 'level': 3720, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 50699299
{'hecke_orbit_code': 36028797052522120, 'n': 1, 'trace_an': 2}
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id: 50699300
{'hecke_orbit_code': 36028797052522120, 'n': 2, 'trace_an': 0}
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id: 50699301
{'hecke_orbit_code': 36028797052522120, 'n': 3, 'trace_an': -2}
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id: 50699302
{'hecke_orbit_code': 36028797052522120, 'n': 4, 'trace_an': 0}
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id: 50699303
{'hecke_orbit_code': 36028797052522120, 'n': 5, 'trace_an': -2}
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id: 50699304
{'hecke_orbit_code': 36028797052522120, 'n': 6, 'trace_an': 0}
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