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mf_newforms • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [507, 3, [170, 340], [3, 2]], 'cm_discs': [], 'conrey_index': 22, 'conrey_indexes': [22, 484], 'dim': 4, 'field_disc': 2601, 'field_disc_factorization': [[3, 2], [17, 2]], 'field_poly': [16, 4, 5, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [16, 4, 5, -1, 1]], [5, [-2, -3, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872675684859, 'hecke_ring_generator_nbound': 3, '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, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '507.2.e.g', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'minimal_twist': '39.2.e.b', 'nf_label': '4.0.2601.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}-\\beta _{2}q^{3}+(-2+\\beta _{1}+2\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '507.2.e', 'trace_display': [1, -2, 6, -3], 'trace_hash': 2087916629708972140, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.005', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.739', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.346', 'prec': 17}, {'__RealLiteral__': 0, 'data': '50.938', 'prec': 20}, {'__RealLiteral__': 0, 'data': '21.414', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, -1, 0], [-2, 1, 2, 1], [2, 0, 0, 1], [0, -1, 0, -1], [-1, 1, 1, 1], [-4, 0, 0, 1], [-1, 0, 1, 0], [0, 1, -4, 0], [0, 0, -2, 0], [2, 0, 0, -1], [0, 0, 0, 0], [-4, 0, 0, 2], [0, 1, -2, 0], [0, -3, 0, 0], [0, 1, 0, 1], [0, 0, 0, 1], [4, 2, -4, 2], [0, -1, 0, -1], [1, 0, 0, -1], [0, -2, 0, -2], [0, 0, -2, 0], [0, 1, 4, 0], [3, 0, 0, 3], [0, 0, 0, 0], [1, 0, 0, 0], [0, -4, -6, 0], [0, 3, -2, 0], [-4, -1, 4, -1], [-1, 0, 0, -1], [4, -1, -4, -1], [-2, 0, 2, 0], [-4, 0, 0, 1], [2, 0, -2, 0], [0, -1, -2, 0], [0, -1, 6, 0], [-8, 0, 0, -2], [0, 0, 0, 0], [-4, 0, 0, -3], [0, 1, 0, 0], [0, 2, 4, 0], [-3, -1, 3, -1], [4, 0, 0, -2], [-2, -1, 2, -1], [0, -2, 0, -2], [-2, 0, 0, -4], [0, 3, 0, 3], [0, -3, 2, 0], [0, 0, -12, 0], [0, 0, 0, -1], [0, 0, 0, 0], [4, 0, 0, -3], [0, 1, 0, 0], [0, 2, -4, 0], [8, -6, -8, -6], [-4, 0, 0, -2], [-12, 1, 12, 1], [-6, 2, 6, 2], [0, 0, 0, 1], [-7, 2, 7, 2], [0, 0, 4, 0], [0, -1, -1, 0], [4, 0, 0, 1], [0, 0, 0, 0], [0, 0, 0, 2], [0, -1, 3, 0], [0, -3, -4, 0], [-2, 0, 2, 0], [0, 0, 0, -2], [14, 0, -14, 0], [4, -1, -4, -1], [7, 0, 0, 2], [4, 5, -4, 5], [0, 3, -3, 0], [0, -2, 0, 0], [2, 0, 0, -2], [0, 0, 0, 0], [7, 0, 0, -1], [0, -3, 12, 0], [0, 0, -1, 0], [-4, 1, 4, 1], [4, 0, 0, -2], [-6, 4, 6, 4], [4, 1, -4, 1], [4, 0, 0, 2], [-2, -3, 2, -3], [0, 2, 8, 0], [0, 2, 8, 0], [4, 0, 0, 1], [0, 0, 0, 0], [4, 0, 0, -2], [0, -1, 1, 0], [0, 2, 16, 0], [16, 6, -16, 6], [-4, 0, 0, 1], [-7, -1, 7, -1], [12, -1, -12, -1], [2, 0, 0, 0], [6, -6, -6, -6]], 'ap': [[0, 1, 0, 0], [0, 0, -1, 0], [2, 0, 0, 1], [-1, 1, 1, 1], [0, 0, -2, 0], [0, 0, 0, 0], [0, 1, 0, 1], [4, 2, -4, 2], [0, 0, -2, 0], [0, 3, -2, 0], [-1, 0, 0, -1], [0, -1, 6, 0], [0, 1, 0, 0], [-3, -1, 3, -1], [-2, 0, 0, -4], [4, 0, 0, -3], [-6, 2, 6, 2], [-7, 2, 7, 2], [0, -1, 3, 0], [14, 0, -14, 0], [7, 0, 0, 2], [7, 0, 0, -1], [4, 0, 0, -2], [0, 2, 8, 0], [-7, -1, 7, -1], [0, -1, 6, 0], [-5, 0, 0, 1], [0, -4, 2, 0], [-5, 0, 0, 5], [2, -5, -2, -5], [0, -1, -7, 0], [-2, 0, 0, 6], [-4, -1, 4, -1], [7, 7, -7, 7], [-4, 1, 4, 1], [0, 0, 0, 6], [11, 0, 0, 6], [3, -5, -3, -5], [0, -4, 4, 0], [-14, -4, 14, -4], [0, 2, 8, 0], [2, 0, 0, -3], [6, 2, -6, 2], [0, 8, -1, 0], [0, -6, 4, 0], [-5, -11, 5, -11], [0, 3, -15, 0], [0, 0, 8, 0], [4, 2, -4, 2], [10, 0, 0, 4], [26, 0, 0, 0], [16, 0, 0, 6], [-10, -5, 10, -5], [0, -12, 0, -12], [0, 11, -12, 0], [0, 6, 0, 0], [12, 6, -12, 6], [0, 7, -19, 0], [-10, 3, 10, 3], [-10, 0, 0, -5], [0, -3, 9, 0], [22, -1, -22, -1], [-23, 0, 0, -5], [-16, 0, 0, -2], [-9, 0, 0, -3], [0, 0, 0, -9], [-11, 5, 11, 5], [-3, 0, 0, -2], [-12, -10, 12, -10], [0, -5, -1, 0], [0, 3, 10, 0], [0, 0, 0, 6], [0, -9, 3, 0], [-19, -6, 19, -6], [0, -3, 19, 0], [-4, -12, 4, -12], [20, 0, 0, 9], [11, 9, -11, 9], [0, 1, 16, 0], [-3, 6, 3, 6], [0, -4, 28, 0], [-25, 0, 0, -4], [0, 2, -8, 0], [-15, 4, 15, 4], [0, -3, 9, 0], [-16, 0, 0, -12], [-2, -4, 2, -4], [0, -10, -3, 0], [-24, 5, 24, 5], [19, 0, 0, -3], [-26, 0, 0, 0], [0, -4, 4, 0], [4, 2, -4, 2], [0, -4, 30, 0], [8, 0, 0, -8], [22, 4, -22, 4], [0, 5, -6, 0], [-20, 0, 0, 7], [0, 14, -12, 0], [-1, 0, 0, -12], [-7, 0, 0, 7], [0, 7, -32, 0], [14, 6, -14, 6], [0, -12, -10, 0], [4, 0, 0, -6], [22, 0, 0, -3], [0, -6, 30, 0], [-6, 0, 0, 15], [-26, 0, 0, -10], [0, 7, 18, 0], [16, 0, -16, 0], [0, 14, -13, 0], [2, 5, -2, 5], [-9, 0, 0, -13], [-17, -1, 17, -1], [2, 11, -2, 11], [-5, -17, 5, -17], [0, 10, 22, 0], [0, 2, -20, 0], [-4, 4, 4, 4], [0, 6, 15, 0], [0, -4, 17, 0], [0, 0, 0, -10], [-10, -18, 10, -18], [0, 13, -31, 0], [4, 0, 0, -6], [5, -8, -5, -8], [14, 6, -14, 6], [-9, 0, 0, -19], [-33, 0, 0, 8], [0, -4, 4, 0], [0, -6, -22, 0], [0, 18, -16, 0], [0, 0, -30, 0], [0, 6, 0, 6], [0, 0, -18, 0], [-18, -4, 18, -4], [27, 11, -27, 11], [16, -10, -16, -10], [0, -13, -4, 0], [-1, 0, 0, -1], [0, -8, -6, 0], [-8, 0, 8, 0], [-4, 0, 0, 12], [0, 8, -1, 0], [6, 10, -6, 10], [1, 0, 0, -2], [34, 0, 0, 1], [23, 0, 0, 1], [-18, 0, 0, -8], [22, 1, -22, 1], [0, 7, 20, 0], [1, 0, 0, 5], [0, -6, -34, 0], [0, 0, -28, 0], [20, 0, 0, 12], [-24, 8, 24, 8], [0, -5, 0, -5], [-6, 0, 0, -1], [-18, 0, 0, -8], [0, 12, -20, 0], [-6, -16, 6, -16], [4, 0, 0, -2], [-12, 16, 12, 16], [0, -11, 44, 0], [2, 0, 0, -10], [0, -22, 16, 0], [5, 10, -5, 10]], 'char_orbit_index': 5, 'field_poly': [16, 4, 5, -1, 1], 'hecke_orbit_code': 27021872675684859, 'hecke_ring_character_values': [[170, [1, 0, 0, 0]], [340, [-1, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 20, 5], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [-4, 1, 4, 1], [-4, 0, 0, 5]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [16, -5, 5, -1], [4, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '507.2.e.g', 'level': 507, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2028, 'analytic_conductor': 4.0484153824789155, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [507, 3, [170, 340], [3, 2]], 'conrey_index': 22, 'cusp_dim': 94, 'dim': 50, 'eis_dim': 56, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 274911461883, 'hecke_orbit_dims': [2, 2, 2, 4, 4, 4, 4, 4, 6, 6, 6, 6], 'label': '507.2.e', 'level': 507, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 13], 'level_radical': 39, 'mf_dim': 150, 'mf_new_dim': 50, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 25, 'sturm_bound': 121, 'trace_bound': 5, 'trace_display': [2, 1, 8, -1], 'traces': [50, 2, 1, -24, 8, 0, -1, -12, -25, 10, -6, -20, 0, 8, -2, -22, -2, -4, 0, 2, 10, 4, 2, 12, 50, 0, -2, -18, 8, 12, -10, 14, -2, -4, -2, -24, 12, 32, 0, -20, 10, -12, 23, 16, -4, -4, 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mf_twists_nf • Show schema
Hide schema
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id: 358387
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '39.2.e.b', 'target_level': 39, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358388
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '39.2.e.b', 'target_level': 39, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358389
{'conductor': 39, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '117.2.g.c', 'target_level': 117, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358390
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 7, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '117.2.g.c', 'target_level': 117, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358391
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.2.a.d', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358392
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.a.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 358393
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '507.2.b.d', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358394
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.e.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 358395
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.e.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 358396
{'conductor': 13, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.j.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358397
{'conductor': 13, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '507.2.j.g', 'target_level': 507, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 358398
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '624.2.q.h', 'target_level': 624, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 358399
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 17, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '624.2.q.h', 'target_level': 624, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358400
{'conductor': 65, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '975.2.i.k', 'target_level': 975, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '65.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 358401
{'conductor': 65, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 9, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '975.2.i.k', 'target_level': 975, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '65.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 358402
{'conductor': 65, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 28, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '975.2.bb.i', 'target_level': 975, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '65.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358403
{'conductor': 65, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 28, 'target_dim': 8, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '975.2.bb.i', 'target_level': 975, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '65.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 358404
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1521.2.a.g', 'target_level': 1521, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358405
{'conductor': 39, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '1521.2.a.m', 'target_level': 1521, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358406
{'conductor': 39, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '1521.2.b.h', 'target_level': 1521, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 358407
{'conductor': 156, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1872.2.t.r', 'target_level': 1872, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '156.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 358408
{'conductor': 156, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 20, 'target_dim': 4, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '1872.2.t.r', 'target_level': 1872, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '156.r', 'twisting_char_orbit': 18, 'weight': 2}
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id: 358409
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '8112.2.a.bk', 'target_level': 8112, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 358410
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 7, 'source_is_minimal': False, 'source_label': '507.2.e.g', 'source_level': 507, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 41, 'target_is_minimal': False, 'target_label': '8112.2.a.bo', 'target_level': 8112, 'twist_class_label': '39.2.e.b', 'twist_class_level': 39, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 980200
{'charpoly_factorization': [[[16, 4, 5, -1, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 2}
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id: 980201
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 3}
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id: 980202
{'charpoly_factorization': [[[-2, -3, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 5}
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id: 980203
{'charpoly_factorization': [[[4, -6, 11, 3, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 7}
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id: 980204
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 11}
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id: 980205
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 27021872675684859, 'p': 13}
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id: 980206
{'charpoly_factorization': [[[16, -4, 5, 1, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 17}
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id: 980207
{'charpoly_factorization': [[[64, 48, 44, -6, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 19}
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id: 980208
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 23}
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id: 980209
{'charpoly_factorization': [[[1444, -38, 39, 1, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 29}
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id: 980210
{'charpoly_factorization': [[[-4, 1, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 31}
-
id: 980211
{'charpoly_factorization': [[[676, -286, 95, -11, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 37}
-
id: 980212
{'charpoly_factorization': [[[16, 4, 5, -1, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 41}
-
id: 980213
{'charpoly_factorization': [[[4, 10, 23, 5, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 43}
-
id: 980214
{'charpoly_factorization': [[[-68, 0, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 47}
-
id: 980215
{'charpoly_factorization': [[[-8, -11, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 53}
-
id: 980216
{'charpoly_factorization': [[[1024, 448, 164, 14, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 59}
-
id: 980217
{'charpoly_factorization': [[[2209, 752, 209, 16, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 61}
-
id: 980218
{'charpoly_factorization': [[[4, -10, 23, -5, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 67}
-
id: 980219
{'charpoly_factorization': [[[196, -14, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 71}
-
id: 980220
{'charpoly_factorization': [[[19, -12, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 73}
-
id: 980221
{'charpoly_factorization': [[[52, -15, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 79}
-
id: 980222
{'charpoly_factorization': [[[8, -10, 1], 2]], 'hecke_orbit_code': 27021872675684859, 'p': 83}
-
id: 980223
{'charpoly_factorization': [[[4096, -1152, 260, -18, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 89}
-
id: 980224
{'charpoly_factorization': [[[1444, 494, 131, 13, 1], 1]], 'hecke_orbit_code': 27021872675684859, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '507.2.e.g', 'level': 507, 'portrait': 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YmUlY5PZyAYJi6rfcGWCc1yW3N6XhG4HlumYcdcxOaZIZtmQrbMhOzYbNi1RXHVTpeaanDidIsHnvF47PmEp07FpKrL217V5p2vMNTUDM+fmuTEeYdzCykXM3AfXTLcdM0i/+49q+ycneDc4hTzKwHLbZfVtmStm9LupXQH8NzxZQ6ebl/13PHFV584t7zn5Pml229547uje2//6AsNib/U7W80gy8sd+hFKa4Sv/jAE8df8R/e92n5TS898or/+1tPOSudWVbakyyu1llueyytOSy3BSvtlJV2zPJaysU1OLYsmJtd4+e+d5mX7q9zZn6a8wsNzi85zC8bLi4lnF1MWegmTE4PeeV1PV52JXiyhq985lcCLiw5XFwR9ENIEk3gaRpBytREggZOXUzo9GD3ZpdGLcQYAcKjN9Ds2hKyvOaAsVJkrQdhAgbDSjti+yaX7kAhlEHokFbgsmvrkLW+4NR5h1Q7zLQkzUDgu5Akgn4oubgiubBsmF9N8P0huAkvv7rHK64RzLVqLK+2ODPvc34J5pcS5lcSzq3AsWXDS65e4ue/d5Utky1OX5xmfqXGworHUluysmaP32onZaWrme9ITnegt9blV//vJHnXrc2vTWz7Ph00D3xNiPRfp8bHcSdfaKhc8vY3Nsj88J98gk0zLc5eWPqF3/zw3f/sY194zD9+YY3VtYQ3vURww2U9ktQjShRpKkhSgdYOxiiMAQwgUoQwHF+e4uf+SPALPzDPjXsjmrVpGrUmrbpPs+4y2VLMLysurjp8+f6Az92XcMXOPldelrCyOuCqnSHf9WZNnCgEhj9/IGChHVBLQ05eUPR6Ta6/PGWhk3DwsMv+nZIj5+HlB6DdhUg7+E7EbAOeP1ejXovxVcJEU7DWhZuv6nLsrM/+3ZoT50OePWZ/n7tzyLF5w0QzZKUT8dkv1zFCkaYpt97Q55YbDRfXXG7cN2TfNpckbtEf1Dh4PODikmBxNWVhNWF+RXN6RTDfi7hh/zL//nt6zLWmOHVhkvmVGktrLsttyWo7Za0b0+mntPuGtYFgaSgZ9ENeds0qr7561RHJ1GtWTn+A2vSrbqnNvl3X6pP/9v67P8Mtr/nmFxoyG97+RjL4n37sExy4fLt69Mlj//7QsQv/9q6HT6oLKzHdVLE0SLl+zzy/+qOL3HB5nYvLUyyvNVhpB6x0XFbaDqtdWG2nrHYSVroJS204sypwakNuuWaF73hNxN5NDdZ6LRZWaiyueCy1BSttKxFWu5rOQNMJDf1hwkwrZtdmDQh813B2wUVIn92bFHu3GbZt6jO/GvLkkSYvvsJQr63yzNFpmo2IKHKZmdIMhnDVriEfvnOSAzsTwtAwOyGJ0wHNwOfZk0NqboMb9ic8dTxiftlj+4zP3q2wa0uEUjFnl8BzDUIYdm9OmGpKugOfXt+l03dZ6ShW1mC5rVlppyy1Uy62YXmYsmt7j++4dYlbrnQI3BYXllosrQYsrTmsdASrbc1aN2a1m7LWNSz34EJPMr+WcvOBi7z3x5bYv6POWqdJf+jQDycY6KtT42z7Ba952c8ng/Ppa9/wNw/kf6MAfvLEYXw/qC3Mn9v18KPPvfv4yfP/8eDzZ2j3Be2BYG0oWBxI5nsxL7lsnv/yo8tcf1mdhdVJltcarHYsyFc7DqsdaHc1a92E1W7CSscw3xac7xkQPd75qjZvfanmsq0BUVRntR2w1vNodxWrPUG3LxiGhigxpCkoafBdqPmGyZZh03SM4w45diHi6aM+Omnw5psjHHeNRw9OsGcrfP6hhFdd67PQHhA4iiSNmZ6CJHZx3ITl5TqvvLHD5+9vsncrPHIkxKXOm16qScSAp4+lnDgb4EiPzVMOUw1BzRd4nkAJSDREsWEYQbdvWOtpun3NWl+z3DMM0pTdO/q89WVt3vmKCHST5bUJFlZqLLddVjoOq20yzZ2w1k1Z62lWeoILXcViJ+El++d5748ucs3ugKX2JO1ejW7fZ63jsbAicYKd1Bqbfnpu6xV/umf3ztPD4XBw9dVXvtBQKm5/YwB+8sQRZufmvGNHj3z/8eNH3/f4E0+J+cWe7A81nX5Kp2/oDgVrA8HCQDLfjXjpFYv88g8tc+PlAUtrOch91roeq12Hta6g3TW0eylr3YR2T7PaMyx0BRfamqnJPt/wki4vvzJh92ZFq+bS6Qb4rgQUUSLRWqAN9IeA0Ew1hxw5Z9Am4o5HGoT9Gpdv97jluj6xXuPuxya54QqXIxd7tFdbvOy6Pl9+1GfztOHgKcM/ekeHgyd9Nk9LvvSY4parFCv9DsfPTHPD/oi7nx6QhHVefrXHvp1DBkmPLz6qIBUcO+vQqjs4AvoDiTaCVBviBJAax9O0e4ZGM2bn1pBXXNXnG16cMNMImF+ZYHmtxmrHHpvVjqDdg3Y3od1LaPesLFnpSS72BEvdhJsPLPALP7TE9Zf5LK1OsNar0+35dPoe7Z5Lp6do92EQ+frAldeayy+/4scv23f57y8tLUYH9u9/oSEF/A0B+DBM5HA4ePu9d33hcq3j9z7wwCOuNoIwNvQHKf1BSneo6Q0N3QqTX2gnvPyqBX7xhxZ58T6Ptc4Ei6tN2r2Ata7HWs+h3bUnodszdPoJnV5Kb6Bp9w2LPcFiD+I05PorBmyZTun1DW95WcieLZoklTjSEMVw15MBpxcCtk4lPHMsAF3nyh2KGw9o/KDPo0f6LC41uGZPg9bkKvc/5XLTFQHL/TVWV1ts2WJ46KDie17X4+GDDjs2uSz12qyuTHPjVX3ufyZlujbJNZf3WGi3eei5SWpOg5ccMOzfNQTZ48kTgk3TMfOLMXc/6TKMFVJCqg17tkZ8w8siuj3FtinNjVdAFNVZaddZafus9Vw6fUW7J+n0sKTRS+n2Uzp9zVrfsDKQnGsL2sOQW/Yv8vM/uMpNV/jMr1jm7vR9un2Xbt+h01d0B5LeQNAbpsSx5voXvTj2Pe9ffdM3fePReq32WSEd/UJj6wUPMqOwT5r2v/fcyUd/ZfHikel2e4WplmIYCYQwGG3T8UaAEBopDEIalDQo6fDw85v51+93eOctK3zn61bYuz3i4nIL36tR8z3qvkuj5tCtSZoDl4mGQ3+Y0hukbA41g9DQHfqsLAacPWOIEs25iwm+bwCBpwyOFPQHCoFL0nd40R7Bvm2GXdv7hGmXLzysOHR0ije+2OfGq1b50BcMnqizZ3ufp+5XbJ9UzLb6BKpGFLssdKEROOzYLHjiUMSN+2u85oYlPnjbAM9t8oabDa7f5ysPRXz+wQbPnahx2bY6e7amzE1F7J2NuXZPilIaR9mIuu77zE36RLFLt+/xzBFbntAfKHpDSW8AvaGh17ffvTtI6Q0MnYFhbQCLfcX8qqHeavMTb1nkW24Juf6yBheWmrT7VpZ0ei69oaI3UPSHkkEoGESWAIah5p77HnY3zc3+SnNi08qrbrnpn3U7/Q82W/X/fQFu0jUQyQ925u/8xYsn7pl2dEgzcHGkrcNACECBACFSBCAzkCthcGSKJyVPHZnj8ecbPH9+gXe8oscrrh4y2Wyx0q7T6AS0Bh69vkM3O9mDoUM/dBiGhmGkiWJDHBuS1N6jxMNokErgOoLAE0w2BVNN2DKr2bG5z+xUm9sfhXsed5F6gje+2OVFV3a577mYaNjilhcJ2oMBC8sNXr5fMzvZp+b4DBPFYidGacGL9jvUmyGPHQ549Y0TvOz6Lo8dVmAmePHVHj/wthW+/ETElx5ucPB0wK45xZbpGlPNOhNNqPngOgYlQRs4eEKQpoI4EUQJhDH2O4Ypg1AzDDX9oaYfanoD6ISw2JMsdCHUQ15/wwpvf0Wb736DJklaXFxq0O0HdPuerecpLhZJfygYhIbhUDMIU8JIMwg184fO8syxz0+fWEr+n+/+llc5S2u9989ONv73A3gcLpGk4gfSzmd/sb94+6a6B7NTTbqDFKUstoWQCARCKIQQSAFKCpTUKGVwlcFVmporWOrX+MidO/jK4x1ede0a73n9Gtfu7TEzWWd5rU534NMfuBmwlb1HgjCWxIkgSexSb2u3bFDpOBB4UK9pppsx2zf1Sehx5FzMR+8OOH6mwaRf46arHV5+XYeHnm9zxwMtbr4iYNfWPh++U6CET6sZs9YL0QaUgLlWn07XQyc13v6qBT7y+Tr75gPeenOfKF7m7qdniNOAl169ibfe1OGKnW2+8lifp87UefKEx45pyXRLUPcFnmsvQssHBm1Aa0OcZBdrbAhjeyEPIxhE0B0KVkPBSheEM+SGA2u85xvWeNXVKTOtgLVOg7WuZe3e0KU/cCy4wwzYQ0E/v3CGqf3d2WrYixQX5zv81w9+edPaMPnFH/n2W83Z+bXf27H5hfHK/38H+PyR3+TQ2b08+dg937dl+tx7vfRrs3HUJfAmqAdJATABCAlCiAzcEiUdpEpRSmTLs8Z1DL5jqDmC1aFiuT3Fx+5q8OAzPW65fo33vGGNG/a1mUlrJIlPfxjQG7gMQocoVsSJJEklqRZoIxAYpDD4nqYeJPhehOeGnFsOue0RydGzHifOTqG0z76tHlftVbz4yg7KX+TpY022T9a55jLYMrfKSqfFtdsliTbc/rBP2JdMNhLe9NIhn7075vTFJgcud7mwNuTZ4y47N09x/d5F7nuqy/3PCsLI48q901y50+fKHV2OXVjh6Dl4+FCdI8cb1B2B70gaviFwQUp73IyxF2uSQpRAlAp6oaAzFHRiiHSCNkNeckWH93xDh1ddm7J12mc4nGC5HdDt+fSGngX2UNEfKitHhpJBaPtGh2HKMEoZDDXDSDOIDP2hoR8KEiNZXOrwG398z6aFhaX33rSnkXz2M5/+0G0Pd/iNn3vP312A//P3fohNl3+FtYH5bj088+uD5SOTwg8RwsN1U2pBTIZvy0jSZMCWOEqglEIpgaM0jkpxHYHnaDzX4LuGupcyGQi6octqZ4qP39PizieHbJ7q8+5b21y5c8hw0OOavYadWxRh7JKmZZpfYJBS4zopp+YNJy4K1gaaz9xX59zSFCZymQoU22Ycdm9xuGw7XLOvg5ZL/M5nG6ysTHDzlQ7X7GvzlScFInHZNCVp1BP6sYc0EoxEOR7toWB+RXC1qXPri7t87bEa22Y9br5mmn/wtiV+//NdHj7coDd0WV5rsndbjQNb+7x0f5dvfXWX8ysrfOY+n+W+z6kLLufOebhKIKVd9bQxpBpibUgTzdRMzHVX9wnDmCt3hrzr1pBNE4rppk8cB1xYDOgPPPqhXeUGBbAzrR0KhiEZW6cZwDXDyDCMDIPQ0I8E/cheUK4jmV/q8kefenD2yNXbf/36a7bFv/Fzu//43NH/xvbL//HfPYD/xm/9CT/+I68QP/Yz5tvr6uDvfttLH61ff7kkih0MCVpL0lRiTJaEFCCEymQJBcgdlT06AtdJ8RyB52oC11CLDfXIMBGkTNUE/UjSjRqcONvgl/94GnSCSBJefF2fvVsikgS00Vn9ikAKgVQCx/U4fNrj4NGARuDQ9CSzdcHcjGTTtMO2OcXurSkHdq+RimX+2ydbnDo9yc37Xa7ckzJIujzwtM9kzWVmwjDZjKjXrBTSWtIeKlZ6huV2SrtX45XXrPHIwT6HTismWwEvvXqSH3r7Mr/xKXjsaIPewLDWdZhfabFlts6mqSG7Z4b8i2/v06q3eeoEHD4jcV2DUgYhbD0OxrJ5ksCeLSm3XJuQxi5x4mNMnWHkcnHJYxDaFW0YqUK+DSLBMJQMI8EghDCyrB1GmjCyrD2MjdX4mRffj2AQC3qJoJcKEjQL7ZQz809P/si3XvzdxePt5EOf/4mPPfHgVnPDy979dwfgzz/937ni2nn10Y9+7p2r8+0P/e5XF4JnDvm890dXObBLMRwGIEwGbIPABpEyc0scpXCUwXFkBmyB5ypCVxJGGj9KCWNDLdaEsSaKDK0EwlgTJhAlgmEsCVOfOA04dLTBk4cgNQYLbauNXQmesjUfTR+u2QqtGkw0JFNNxcykw6Zp2LUlZOvcGrFZ4b99coJjxye48TLFZTsk+3as8tVnE+aXJ3jxXslUSxN4A3zpY5QgSSXCGJI0YrUXML/scuOVNV60v8t9jwVsnhLUgyY37tf8xDuX+fVPaZ4912Stp1nrKhZXHWYnG0y1aky1JmjVY+YaMbtvjPDdBNdJUCpFCrsWGuxFFceKhUWHOFHEiSKKFWGcPUaSMJaEkWQYScJI2AA1EoSRsaCONWFoj3MYmexRM4xhEAkGMfQjQTuWrEYwiGMIh7xob5uf/4Elbtm3UL9wYepDe7d9QP+rD0588j/9xgfTf/OP/v7ffoD/h1/7U/7gCy01de+5dy2vHv/gHY8sB25Q5/aHZ/GclJ//4TWu2Zkipc70b+aSqBzcBsfJQO4YXEfiucKeBFcQeoootkCPY0OUpNYVSSr3FJLUkKaaVGP1tqYAt8hWCUeC64LvCAJfUPcljbpioi6ZmhBsmk7YvaVPs7HGJ78WcffT06wttbhul2L3Vpcrdg5JxRq3P1yn4TrMTSma9SFPH4Pnjjtcu9PQDxXXXxFz3T7DxQspi6seg2GdN9/U5d6nBhw5p2jUJL7X4trLND//fcvc9eyAz941y3LHsHtTymrbYbKlmGi4NOsujZoh8DW+p/GdFEdZqSWz1kpjsAkrLUi0JEkFSSKIE0mUCOJYEsbWeYliQRQbogjCOCWKNVGFOMI8aI0hjGAYW3D3YgvuTgzDMEImfV60Z42f/aEV3vwSwUo7wEmfCpJw8Ic/9917//51++b+7Hte/6F07zXf97cb4D/9T56X80viO3/2V9Lf/ODnloLIeBgB+DX+/GtzRKHkXa/r8O7X9ZhspfT6NaTUKJX5vE6K6zi4joMfKYauZZvIlYSeIIqFPTmxIk4giqV1EJLS9ktSTZpadyE1pizGwgaxUlp3xnEEniPwPUngSxo1QatumGxqNk+HzE11ScwaH7tX8vufn2FTEHDdLsGurS57tml2b13lkw8YVlYCrtyimGpBsx4zf1KysOrj7YUwFsxNSCYn4cgJw2pHc3Ep4Io9Aa97cZfb7gmYaYLveSg5ybX7BD/81gVcucCf3zfFc+cCNndiNk0mTDQUzZqiXpPUfAffA98lIwSDFDaWKUCOvbBTTVagRgZ0iFNDlEAcp5YUYk2UPYaxJo4hjG3pQhjDMIZhIhhEVpK0Y0E3NiTDkImgw7vfvMy7X9vnDTdCb1BDG5hsJbz0sieD4wvmd3/iV4yz1HH/BMszfzsB/t7f/DT/+bfT76u79/6Xxw8vt9ATNF1IDAwdl6TW4PaHJQ88G3BhZYV/9K0DploJgW8zjo6T4jkuruPiOimR6+DFKgO4TaVbxhGWiTJWShKIU0hT6yRobQMurU3ew5mB2wLcBq4C17EACXyoB5pmLWGymTA3OWB2ao2vHYr4wztqHD4xyZ4Jl31bYMcWjx2b4cCuDv2kw0MHW9SUy9yUYrIJk82QqYkEz3Ns4srAIPRY6cSs9Q3tXsLCqseuLU1eduUCdzzc5/C5FnU/xlUeQkywb7vi771hiZccWOAP72jy0DOTLPccNrUSJusJ9UBSCxS+K/BdievaWEWpLFjP+ioNNmmmNQXQk1Rnq1tmLSaaJLXgTmKIElPeY+vKDBPBMBb0Y0E3EXQTGAwSTDJgpt7hH37bCv/iu/o0Apdut0YYeaSpgzZ2Vex3n2tdvzP+b9/1tpu89//kn/z+5su+628fwJeX2yglf/C//vYnf/EDn+/PdIZ1NtXtxZpogSdhIF3ClmJt6PJfPupy8Ngab391j1tv6LJ5NqLbrTEIPVzXw/dcwsjBj629F3kW4HEsiRK77MZJ5mmnZNYfGXNLtKEEt01SZswNjrIJE881BJ6mFiQ0g4SpVsjW2Q7z7T7v+4zL7Y9Ms7La4PI5wa5Ngu2bPHZsEuzdNsTx1vjI3Q7HzzTYv1ky1ZRMNFKkDDm3aPAdiRRgjCCKHXZv6vAwKZ2+YrVjmF+psX9HwLfe2ubPvuJxct7HdWKEcNGmQZxIXrx3ld3f1eH2x/p8+PZpHj3ZYPuUYLaR0ghSAk/guwLPlbiOwFHYwFmKoibDYC8ybbBOS2oBn4M8Sa2ks2CHKLW1LlEiCBMIE8EwgW4i6cYwiDVpP2THbIfX3LjGN7+6x1tu0riixupaQBR7JKlDkjik2joxV+zQbJu5ODMchu/dfOA7VDRsv98L/tdM3PpfAvC1dgfPdf/B7V+6+xefP/jspgklCAKBNppECxJt8FNBIAV9IenXarRjl498NeCup3rceGWH73pDn2+8uc3shEd/GDCIPHzXJU5cwtgpAqUkUcSpJEkkcSpIEkmaClItSq2tBYUqMZa5pcDq/CxZ5Lka30up+QnNWsjsZI9BPOArTxs++tUJHnpmkinP5drthq3Tks0zHtvmJDs2R1y2fZWnTg74zL1zTCiHuQlBqyFo1WPa/ZTPPxDQ9AxCWGANQoe33xLyuQdtTUy7p1lYddixqck7XtHjoUNdDh7xaPgJSgoLcl1nGFmt//de12b/1gU+cleH+5+b5PRqjS0twURgqHuawNF4LtZalfZCLhLDGdR1JtW0Lle4JAO6JQiIU0GcZlnRVDBI7L2bQhhpkiiiUevxjjeu8l1v6HDj/pTN0w7DYYNOzyNKPOLYIU4dkkRlpGPdsihWLB85tqkXP/iL+69+he52Ox9oNlt/swG+sLTG3MwakHzvY4889J/vv++umWiwymxLMoy11XipIU4FXmrwUoGvBH4i6CuXgaM42/E5/2CdB5/u8WfXdnnX6/u86ZY1pic8osgnjF2i2CVOHHvwEkWS2oOXpPbg5QDXJmNuXdaUCWGyoFJnAazGc1N8L6bmRzRrA1IGfPkxyR/fOckzJyYQsc+eKcPWScPspGJu2mPLrGTbXMyuLR3OLHb5rc82SMIaO3YIJpsOrQa06jHCjegMGkw2DUIIjIE4kUz7ikQndGOPbj9ltaM4t1jj6sua/Mg3rfHeP/E5tdjAUXF2YTgkScAwkmyZ8Xnx5R2uu6zHs6fO8dGv1rjj0UnOt2s0fEXTg4Zr8ByDq8CRNp0vxGh1nQaMthddqgWpgSQV1j9PBVFqPe1BKhikMEgMSZKg45CZYMCbX7/Gu1/f4VXXJkzWHKKkwWrbHzk/UZKdo0RmZGRNgWGoWO30eP7U3ZvOzPOfX3TjS5IHHj/zBy++uoXn//VlPf9aAT4YDFhcnvzmhx95+DfuuvOO1upqj1rgABopBY4yRUATp+Bmd08aglQwUIK+8hikDgthwJ8/1ODuZ/u89Es9/vG3dblqV4dNk4pW3SGKPaLEJUlKkKc5wLVEm8xTN6LMjgpby6KUsckiJ8H3ElwV0RnELHZifu2TAScWpnjs4CRGe8zUBJtmDbMTgpmWYmbSZfOMZMtMwva5PjOTq9z+uObR5ya5bodgqilp1iWtuqZRixBuiO87OFn5gTGQppJB6DAYxiRa0B1ouj3DSsfl4nKLlx/o8bKr1/jIlwJqKwpHxhaQxrFdTLHt8ZydDHjJvh4vubzHw685z6lFyR/eMcnCWp2zyz6ekjRcKwcdBa60gWdB5LlUwTJ5YgSJhlgLwhSGCUTaQJpAEiNVyLapAdfttufjpqtSWjWHJGnQ7vqEsUecWFAniSJKVHZ+ZOVuV95hKIlSyaDf4fihO2f2bBe/ceNVN62Gw/5n/jox+dcG8OPHjrFrxxb14T/+yOVPP3u4de5CG993cZQh8ERhxSkJTmpwUnBTY0GuwEsgSA0NRzBIJH3HZ5C6LEc17nh0gq89N6Dhh/z9t7TZMZOwZ9uAl1/TxRGKZt1BCCtXbFbS1kobU2FusipEYb1cQwIy4dkTkkcOOdz2UJNnTzeJkjpNRzFXM0w3DFN1Y33wlsP0hMPMpGDLdMK2uQFb51a5+5mQ37ltE1snHeZa0GooWg1Bs55Q80O+9rxiGDm4DQsqYwRRIgkcxQ37Bzz49KQtfBqkrHVcltZ85pem+JG3znN2aZkHn5jDlYCI0UCSOESxSxhJegOHqWbAZKvBy/b3ec11fb7rtYscOqP53EMBDx2q8fzxBolwCENFP1YoIYvyB8gDzywnYDSJNhitcUXKhBcREPOyG3vs3Tpkx2zMe94UUvMkjZpLFNVpd13inLETlySVGbCt317Ix/yexUxhZOOmwJfopMejDz3QOnt26fI3vfVd6tjRI+m+y6/4mwPwR597igXte8ODD37/7ET6X0zSYbLlk6Zg+UGC0FnAY0hSgcq8aScDeazASy27B0pQTwXDFIauyzB16acB3W7Kf/7IFCaJ2Tw35OpdQ2YmEt71ugG7NkXEscj0toQKc5PpTyk1Qgo+fleNp441EI7DqfN1zs3XCWqKCV8w2TC0Ak0rgGZNMFFXtJqKqabDzCTMTiZsnhmyfVOH1Kzx8XtbDHoNrthhaNUVzbqkWdM0gwTXjbj9wYCwL3E3gczAFCeSRk3x5pcOuOdxTS+U9AYpnb7DWtfh4nKdq/Y2ederOjz2bJ1TK02U1ECc6WWXOLVu0jCS9IYO7Z5Hs1anUQu5aseQmw8MObPQ5uSFNRw35cnjDn/21TpC2cI1xucPGm3PlTHEUcruzQnvft2A2VbKgd2GzTOQJi5h1CRJbNdUUtHXcaoyKWLlonWzZPHcAj2rdIxl4XoliSBKHJZOrhCr4X+574Gv9V/58k2/f/LkI9GePTf9zQD408+dAjm/X0Wn3zeYf1h6bpNUC+I4BSGyMldpEzhZAONkWjy38tzUZEGOsCDXhnr2PNKCUEvCVBJpl1jDYq/FV5/SGFI+/ZAd2WCLx+1Jgjzlb9FtKxIlUimS2EFqB9eRNH3YO2douJq6r6n7UPcFjZqkWbNyaKIpmWrBzETC3FTItrkuKav82icC7nt6E/tmYKqesXdd0qwl1GsRjfqAWq2OryRKZhocKwfi2GU4EAzClG6o6A013YG2LXMNj7PzE7zy6pCf+PZ5fuXPHE6v+QihMSZGp4Y4cTMta8tYmwOHRuBRrwXU/TqBH9OsRbz4igjPjbnpioT3vL6Po5IsCaQRwoyK8kzSaS0RQuK7CvAYhg7LK05Wt5PHPFnQmLN0qgpA27vN2iaFsyUyEyC3czP/PbG5gWGk+cJXHpCbZsP3XTi1eu+gEz7z14HN/88A/+SnPsXWTc3aA48feeeTzzwntk05CGEjeGMsS4gs7S6lQSVZljIFJwN7Wone8yq4RIvKc2Pdl9R66IkWRFqSGEmqHWLtk2a2V/VWZCkFOELYTKWCoGYIHEOgUnwXfAcCz1DzBTVPUq9J6oFjAd4QTDY1062EmcmQTdM9tm1a5ndu03z4js3snFTMNjWthqJZVzTqUK+lNGsxF5Y1xy74BJ4tv4W80k8wjBz2btFsmR3SGXoMhiZjccla16FZC2jWJ3nP6xc4fuEiv/uZ7TjSwaBJdUqiDXHiEEaKQWSLovqBpD50qPkuNT+l3bUxhuemuE6K66Y40ibQpLTpfJHdbemKAEQGckFbZ1WWOotrsvgm0bKId/LAPtGWodNUZsQl7TnLwJ1kdepp7s7kdm5irVwpJZdt91m+cEg8gXinW99/7PbPf3rw5rd+ywsL8K2zrtdpL/yUjJd/aqqGjBMfz7WZQZTMAjtDIsr0sUptwJkWoLZfMtFZcqZiXeX/lhpTptmz59bLFUWgVNXcQJbJs4GVIzWOBEdZZ8FVwpbaujZ7GfiSwJPUfEUtUDRrkmbdMNFImWwmTLdCZqf67Nq8zEPPh3zkrm1MBT6bm5pWXVhw1ySNQNMIEpr1kIcOw5OH6lw+ZzLdW6bNB6HipgOGK3YNePiZSfqhYTBM6Q2cDOQu9aBGLZjkO169wpPPL/DgwS1gFFqn9uJPDElsinqSQehQHxpqgSLwNL7n4nspvpNnhG2JsVLabsEibWkwWf1PTgtlcG5LiHXuSOncfq1YsVmpcf46Z+80zRyZVGTkZGvuC6LKgJ2ffwHUPIdTZ41cXFv891u2171aUP8FIHrBAG5MW0bh4GfvvP1P/1k0uOjNTDqkKdkBytLgWmbgNqRaoKQhldoeFGU1eKpNduBMdqBGAa4LK8ugs0xcnqwwxlDJvI+suHmqOk/oKJllLBW4RdGWzf75niLwFTVfUK8JmjVDq54y0UiYbIbMTAzYNrfKg4cH/OwHN3P67CSXzWom69CqKRo1RSOARmDLfj13SHtoUFLhKmM7lLJbDoQ48WjVYvqJpp/VWfeHKd2+pF1T1Ls+gd9kz5aYn//+Nj/zIckDBzdjUGijSVNNkiZEibbORKQY+JJaqAg8ie8ZfE/hOxrXtX6/o4wFuMpW1Eym2CK36sm1qX2TkYjROdCrOYY89S+zuTQUgK4CPCem3F9P0oy08gxzahs1bJMGnL5wxlsbeP/qPd/7ve6pi/2f3r2l/ldO5/+VAX5xocPFBf0Ljz965z9duHgiqPkSIUzxRS0g7RdWUpBkjJ1Kg1YZmHWeSStBXqbVKVlag9GG1IgKsMs7YwDPZHcWWFqJoqRAKWuXOVkrmutIfE/iuYrAtyMZar6hEWia9ZRWPWaiGTHdGrBtbo0HD/X5md+f5fDpaXZPW4elWZM06tKyd81QD1LqQUycRvzRl5pIpXClQYnSJtQmZzqXv/fGVb74aEQ38ulnAO8NFN2eou07BJ6P77Y4sDPhP/7AMv/u9wX3P7MZbSSptmn1OLGFZmGkCQNb7ur7gsAV+J7NbHqOKTK2jtJIZb1xKYxtlMgBXqY8gexYY3MJ+WcvgS2KqQNlco0KqEefl6u1KR7zc2/9eJtJTbXg5OnTwWOPfO6bG/Xg3z379CNcc91fLeD8KwP83NnjaK1fdve9z9VaPjTrAscBKU3lAEAqLUCVFqRSkDoVUKcGrXKmtu/polYie8xfG2HrKHJQ5wd+7HPlAM9rMPJMXs7ejpPXnUhcV9r6DU8Q+HbmSd1PadQsuFuNiMnWgLnJNg8d6vOzH5jm2VOz7JgSzDQq0iRwaAS2fqUWJNT8CNcNObc8hatsi5215cogM01t4mPrlCFJYjpxkHXKaAbDlO5QUusrAs/FcwNcZ4IrdyT8x3+wyL/5PXjwuU0Zc2qbV0jSjMk1oa8JIsnQU4UEc11wHSvRbJ2KwZFkMiVvLimPYZU0jMkywTovv82JxyaH8mxxsdrqCsBziVkAmoLcLHOb8txn511JQdNPWTl3+MqrX/2230iS9Mf+qjj9KwH88NOfZ/OmQf2Tn7nLm2oMcZWypa2FxoTU5HUg5RdPVXZFy4ypnfIqHgF2LkPy5wVbm5K5L/HZpCiLqKQEKUUBbiXLenIrTyBwwfc0tcBQ861+rtdiWvWIycaA2ak2jx4Z8u/eP8XTp+bYNqmYa2gmaoJmIKkHinpNUAvsxWFT/REPHhT0hh6BIrvIrAbPmxBSLYgTh0agePk1XR56tkU/tjJlEKb0B4qur/A9hed6mX6e5Kqdml/6oQV+8rfh/oObiLUk1jprli57MENP4nvasndWm+JmF7e9k8mUUsbJLMu7EcjzpJBBFNnPsqYlL4kYl5Sg05K8isdMkpTvZ4Vw2r4vJISx5PCxvruweue1N9z8uvofffRz/fd8xzf+rwd4e+UErakdkwcf/8RvzbY6rxZJhEGVByA/gSmkmRTRlaVKKwt+nb92xMjVmzfN6gqgdQHssimYTHsXJyOzI/M+zrzISBUAB5VVDLoOeC62E8jLCqz8lFomL5q1kInmgKlmhyeOhvy790/x5MlNbJl0mKtrJmrQCASNmqJeU9QL9k4J/IRmfcjdT3qstQOmpso0eQ4YnQVlcarYNKN4/Yt63P2Itl00ka6AXBK4ksB1cB0Px7GlxFftNPziDy3wk79tuP/wJmLtEGcVgLbs1TK5H8uiutBzJI6TFWFJgXLyY0Px+fKLMJcqIq9Ko0wIjd9HgF6RlLpYkamA2lRiq1HWzhu+8983JGW1HbM6aL96avOp3/vxf/BtP3rT4ZNrVx3Y878W4FH/LCvh/E9GvSPf6auLTE8ExIkp6z+yYLHU2SWwC9miRfE6lx9pIUMyzW3MaCA5ztwZ0vOMXKG9ZV5BV+ruvGLQUdj6DMfguraxOPA0gZdSCxLqQUwjCGnWh0xPtHns+ZCf+u1Znji+mU2TLpvqKRN1k4E7Y+9AUvMt+wd+Qt2PSHRIN/IRSuLmDF5o8Eyz6swjjl0a3tCWC0QBUznIhyl9zzK478msJj7fgNZw7R7De390nn/5m5r7D20m1g5hKohSnbG4IIg1vmvwXNu76mRxh+1vtSuaPT5ZV37+WCnMKi7MaqwzBu6ChCrEZGvvs1VYl9JEG4NOKZ2wCoPnK3/+XpzA6YUlcE9855fuffJYGMX/5n8pgz975Ajno927J/u/ep0vjjHZNHhhTBjZ0tU0FRX7KHs0WfCYrg8cC71WLNvVAyYqTFFmJU11zcxZuxpU5stt1qGjsmDKcbIxE1kRUl49GLhppptjakHIVKvPRKPLgwcT/vXvzPL48c3MTTjM1VImAkMzA3ctsHZiDu6anxJ4Ca1GxMGThrsea+BJiat0FsSVHkW+fMepItEOt7445vLLehw7XWOuTtHIOwxT+sOMhR2F47jZwCPrXV+zG37ph5f4N7+tuffZOYZxzSbDEkM9q+H2XSzInXz10kVvq1RpscIpKSoAFxWQV5bJdSA3owCvgDt/b1x2arMBqAtGp6hqjBNDFAv6icODz13E/eKD1/3WL3zn7qh/8JRXv+qvH+DPHzvPltnJPX/6xYd+dbi88M23XnmBydZUpnUdVFxmskYAnjsjqhJ5mzIQLVySMVBX2WEdg1huyRh8DNzCIFVuC5Ztb27G3J6jcV2N72p8LyHwEgI/oh6ETE/0We32uecZ+KU/3sJTR2eZzcA9WTM0a4JGIAqv3Dov2rK3ZwFe80OiNGU4CAiUvcikqCz95NnCLBmSOFbLOyFhZBjEogJwjeeleK6D60ocpVDSLQCOgOv3Cn7pR1f5z3+ScP+hGc63WwwbksnU0EwMQTZxwHdN5v3nToop2DuXKjnAi8+bfWhRHPNK4JmdlHJlNYU2HwF7VbLk5zY1JVObXKfn4LZWYZjAMIKVgSIUbV6078Q3687Dqajd+n+F/fMn/fq2v16Az188SzxYvvnQoaPv/PK9R3nRT6RctjUiiuwmEVJALA0qzaxCJUc80NJeysBtTPZefmBEeWDYGNzjqjA/CXbcQ87eJpMnJqsatMztOBrX0dmYibQAt+9l4J7usbg64Bf/qM5nHphjqTfF3IRkLsjAHVjdXc8Cy5ovqfsmY3CrvQM/AiLufMJjNfaY8Rmpx0aMrlBpapsfWr7D627s8+DhiG7sMxFr28UeabzQ1qp7jiyar5V0EdImaDBw5U7Jr/zjDp97cMAvfGAzZ5emGEw6THqCZqKpJ+DHdvSyp+xAIzcPNKUoguD8sRqoVy9MIYpekRGpkncKlStuBczZ+6mudBNVjIiRhJ4u69DDxHborw0Fe3dG7J99lJMn9r4z9nb+kTC9k3/tDL58+na6rsOu5hI/+HbNzk22gcF1U7SRRb2Jkgolqzo81+WlZ5o/miz6NlVwZyd/hLWrsiQ70Dmz5Onm3AVQOcCVwZEW2HZAkJ134rkpnpsQeDG+F9OsDXCcPnc/mfJ7n29x232biHSLTS3BbGBlibUAc59cZXeRMXeVvWMcJ+Rrz03Sjxy21vPPM87gubtky0cDV/GyqwYk2gJ8EAuGcaVzPdQ2OHRExuL2QhZZct0gmJ0UfOdrezT983zg8wPueW6Gi3GNfiBpJYaGYyzInSwOUSaLS0wG8vwYirJ2XIKkZPGqZKmekoLBx8ipAHrFdUlHrN/SdSkaLrStUQlTQZgKtITj8zU++MU59j5ymFffeuM/+cY3vfzxxZXBkbnp2v93gD998DTRyn/HqPp1vj7+M5dtPkW9JnCUyzASWeNAmgEvy44pm4RIU5G1i1UBLgrGNtXAklJrl8CuWA9V+0qYMWmSZ+VsxaCSFJOvcuZ2la3F8N0Yz4sJ3Ih6fYjn9fnjOxx++Q82cWxxGtcP2NIUTPspLd/Q8KGRddjXfJvtDLKEkK1fSbOVwMqTpU5KL/LwlMKTpggwqXyVvLwgzQqSosSl5g7ZMjlgrd9kEIts3JqNFVw3zWw+ldmdygJ8JHC1lY/f/KoeN129yC/94ZAP3z7HStKg77s0XEnLsTU4vgOeomiGcPKkT7byyUKqlAmgKqlUxYop/sMIwHX1ua7IlXG3xZTGQ1J0Fdlmi1jbz9AeBnzqQR9P9xgGD78mkYvbzs23jwy7JwmaX99V+QsBrrVm656f3HPnQ8997BOff/rKf/xNXV40E9Ab2CZaJTWuk2QHO0/JW1dFS2nrjIu0rigBbcqaB50lEEpwV0pdKzeBKdkky77JKsCl/TxyhLnTDOQJnmMlie+F+O6Ak/MJv/u5Bp+6d4bj81O06i7TAUz5KU3fZKn3HNwyA7cskkJBpr19z144rUbIJ7/mcORUjSCbwFW0i1GivBjjYLLipMThyt3wtpu6/N4XZujVHVqxHajjR1ncoDSOI7OxdVRA7lZo1a4Ku2Yl//p7+ly39yy/fds0xy9OsJLU6LsODSWoZ0D3pLEXTuYyFatfflxz+5BSrtivYEb0ePHnM0Tbi3gDO5Exg8GUiaKkAvJY206iJOvEUgp6A8n+y3q8/pp7ee2Lrv4dv/Wqt6Tx6l8oVb4uwMMwxvMcHnv88R0XzxzZ11lOWGr7JalmBVQOIERiy1GFRGmZgVsXwK4W7uRWma3dFpXMpBgNJk22AFeWxuJCKh4rlYrZUE67quQFRont3HESfD/Ec0K6acT7Pubxgc9t4dzyJFrVmJ5QTHuGCU9Tz5i7XqTvZVankkmTzDsvwO3Z7GUYRxw569OLfKb8zMXJk065K5F/V1OpSYkdWg2HvTsilD+kGzUZeIJaNmTHy+SVm0kUJ3c9hLpE8KqYm+jzI9/c5523XuQDn+vwux+fYWnQYOAEBI6i7ghqyuAnxrK5tFLFkWV5Q57lXMfklXORn6xq8FmVllWAF4VxZlSypNmxSHOJoiE2gtjYLqP8N2+eEfTahsefOLVv047ZHVddfcPJNIlRTuUi/58BeK+7gK7V52YmnY81zXPuT7yzxtX76nQHtoVKCoNQKWmug4UtpMrLK1UV0FqW7F0BdmkBZq83mMkvKtpbVP7WiDyRWZWcSi3AnRRHpXhuTOBFeG5Eexjxtackf3xHi4/fO8MwbeJ5HjOeYNLTNDxD3TfUvRLcgS/xfYmfSRObGMqciQzgnmsznycuGO55tE4Uu/gNsy7ALFbFQoPb4xLFCtd1eP1NXT7y5R6HzzYYBHbeS+gavATcWONGGqWk9a2lHUhaDPfJAZ577FpS9x02Tw74l9/R56pdIR++o8kjBydYHDQYKg/XdQgcQU2CLzMbNbdXpbH5BEEF5KNFWSM2YoWYDJXzWWFuUwF3NRZLDaSmIlGMIDEQafsogCCAxw7N8P6eYe+mp90f+5GbPraysvaibq+3+Fdm8ImJCbk0f+Tm+VN3T+zZ2mayGZMmDsZJkTLNZuAJhNQYbcsplZEWzJUSy4K5s1rj8l7R3RljV+R2KfWEQWIfRZFS1kW5p9XdBkel2cCgtJAjjhPT7sXc94zgg19occdjE6y0m8haQLOmmHQNLU9Tdw11z1DzyFjbMnfNlwSeIvAEgUdWoaczcGt81+pv5YQ8fxbOtQObWMn07WjipASA7YPMSky1JIocNrcEV+wc8PTphH7s2jENMXgR2ajofLJunqixgX31VgBH57XZtj783a8f8KaXrvKVx7t86PYWjxxssdyt05YePc/BUwJPCnyJ7eGUBkfkcU02hUBkZb8bAXwc69WAk9I8GAd6msmU1FjmToztCU2wz/OVoSahJg3La5po2OdPPvGViW9522tvftG1V3yBrzM86OsCPB6c9Wte9JuuPtzYPNMj8BM8Lyq6QkQ+/84IjCwBbUwF4JW6YpOVXdrinXHmZp2oK+si7GVcLdCXmdZWWXeKkilKpni5myFjFrsJdz/q8Pn7mnzmngkWOg1EEOA2XVoOTLi2k6fmkskOqHkiu8us5DTT3Z7Az9k7B7iT4HkJgRdhTMydj/mculBjdlrgSp3pWFE2+lYQYCruUpoqBqHL7s2C19/Y51MPRPRil0EsCFyDl1gWD2NTWaVU4Vcj5IhMsXdZrKQ2a+pQ80Pe/doB33DTMp++t8vn7qtz91NNFtp1BsJj4Dk4rsIRAlcKXClxhcmklkEiMsk1Vpg19v0uCXBEBdhZVaUpm1hyUKfaujLVWoyhEbSFRAwE3Qi+9uS5xuteZ37z4NH5q4DB/zTAlzuavh58d3/17sm9246itUOq7exAIVJkxYe1BTgyA7I9sCWoJWYc5IUNWJUl1RSOKb6Y1X2mcs9mF0qNkLqQI54TEwQxwzDl8Dk4eV7x0S9N8IVHWiysNsANcFoudSVpuoamo6m5hpoLgWvBHbh2JqEtM5WVu8j+3WQg1wXIPde2px07r3n6hA+umy3zppKiH00LVp2GPPubpHac87V7Q67e0ePQuTqDQFBPBH5sCBWZtacz9s7dlNyCLLVK4bNnVqTWeXe7yzByqdVCvu/NIW9/+RpffLTHn365zsnzAYfO1YnWfBLfYeg4SGVHVyuyv5cFnE4ehJKPojDr2dxUVquKU5Yztn2eAz2zDqHScpi1H2ZASIRkTUsGMYhUcHp+jYeffoq56a+/RcolAb6y2hZRHP3Eb/3J0cl9MykvuXzAi/cntqbaNeisYdRoWUwwNViAm6zxN2drjVwnTQplbQRjF2sZqQsyeWIvJitJtB39IFN8305STdKUi8vwpa86HDtb466HapxbrXHsfAN8H1V3CBxFwzE0HG1dBNcOzg9cO67Ngji/y+yuMoCTae4M3G6K71r2thdWxIlFOHiyjitH7cFColDWgxeuQtFAkPc0uly9e8AVm/o8czyhn7g0Y0HogJfNBFQVgEspEFKOMDkwasflMijvm0wVceoSuh6tWsTfe2PIq67rcG61w50Pexw/4/PFx+qcXw5IBy5aOsSeAqkyJ8V25UuyjCej9UDFk8o51eNMnjepFO5CDuq0fG5S8iZoYiAR4BlipXnp/iEv3Rfx4l33zL7pjf/XP/mx4Yn3qmCv2QjHlwT4H3zkNuIk5U+/0KM73MWeuTbX7O5y64sHXL03ZttUwr49KQ6CNC5HNeg0n0mSgdyM6W5k2f9nLvHHi4i9ZO1CiqgU10+JU8PxM4Knjyu+9FCdZ054PHeiRif0CSMfXA/VcvGVoK6g7mhqFR/Yd/I6jbxs1taF+5ks8TyF58nsAjCl9nZTm1l0rc4PvBijI+ZXJKHxcRyJl5UO5zbbeF1HUXFpyn7HNPPDBQ5z0xFSDenFLn1HWKcjLgvGHKVHMpBSVKLYfNhRtqoWTF7pn3RTVYyf6IceW6Yidm2OefFlIYNowN8/0eaZkx5fejDg6RMBx0/7xImD8RVGKhCSVFayQSPJ/BLgG1I6+ezyKrjzjn5d1m2YFGKDIzT79sZsn0q4cm/ErTdGXLULtkx7hFG7sXD2ge8Uwnnv/xSDf/xTt7O00lF33vesmHIMPdPgyVM+Tx+vc8fDfSacmF3bQ649EPHGl4a87oYIjG2LqjUMRmdfWpfgz3X3qFsymhqzmt7OL3EdA0IjpCHOtscQAk6elfzJHT79WPHEcwFHz/gs9TzC1APHA+WiWgpPCmoK6soQKOw4M5UVHinL2p4rbNKjCm5X4mWyxPfA98hcE5sydx2N5yZZRjSmFkQsrKZ86f4m7a7P1ITAyeKDvOhro2DM5Bm+QotLwlAxO6N408uHfPGRAafbDQautDLFATcxuHHuWWceu0ytXUh11oks/oY2TuVvWKB7qSJ1FImriFOHOHatlerGNLyYV12b8LKrQt7xmiHPn5E8edBlECk+/KU6Jy66ICT9gUMaqaJtyjiU2aANd6esgLpIf2pEYhDaYDK2rjVSXFcjjOZ1N4a88aaQaw5E7N6e0lSS6brLMKrT7jbp9OrEvVOiNvki9dyTX0quftE3/OUZfHa69T7S/vUtL2W2JoiFSy9qsth3WExCTiz73P9Myse+nDA3lWCM5sb9Me9+w9C2JKUwN6G54dqYRmCy8WmWtTcOvkUxnKfdFzz5lMtyR1IL4KGDLp+9N2AYK4ax4sJFDy0cYuOihQuOg/AdHCnxlCCQhiADtq8MvjK2BtzJPF+nZG4v78sswK2yHk1RsLfnajwvL9BKC/b2vBilIr76uOJTDzRRnmPtthH9fWkGz73wNM0dD8Vw6PL2WwZ85msdPnznBL0koJHpcDfX4XGelDFFt5AQsgCY/VNy1L2oNAwnqSRxLJO7jiJxHJwktUBXKUrZQfpTQcItBxJefiDGiJB3vbbPMLZJmD+/1+fhgx41X7DUUTz5jEenLzOV9HVAXuw8YVsDb7ghYnYytc0xqeHdbxhwwxUxRsPctGZ6wqCQGGNH9nUHPv1hjU4voN11GMTx9btmJ95n4Ef+Ugy+ttZnYqLW+vSn//xA3dPKd7PRatIwVIrU88ER6FQRGs18O2V+zS4vz5/WfParE2A0JjVMTGluvj6iWbPtSZfWJNlByVyHtZ7ikac9Om2JdJSdiWIcy0zCsakt6YB0kFLiSmHBLA2+1HjSAsFT4KlyRp8FeTkm2e7xI4vG4yq4LcNnZbVuzuBp5Z7gOzHGRJxb8ojCAH9C4mVpb5VV5Y1kMSvatAy6oexOV0Sxy1RTsXM2whNDBonPIBHUHDsEM68hyRNaqtioi2JXujy+yVdOrXWZPc1KKNKKNEqSNMsbqGz/o4Q4SVGxzSU4KkXKhB2zurCHr9o1JDJ9pGNotwWPPO2w1peoQrGMBtWjZ9qW1DYCw8uuj5mY0pjE/ktNChxBJnMd0kQSaWUn1GarTZrNZAkjxcIqqrYcHnjN676xFQ06Ha82OsBzHcClvki/o97bck+89oqdPZ48IeknouiSRzrZyVJWJ1WG7SRo2vkyJA2dNcOFrzYqX3EjgOe6rVzejLDViDh2S20caf+esANphJSZlZWDOks7S7KNW3PfuPLoZJ30imzrPQpw27YuhZeB23MoSkwtg2cs7mi8LDvqujG+H3NmSfOHX2yA4+FKUQaYhTzZoLa6EnDlQ0It2BRpakH+njcN+PTdA56bb9JLXeqJ3ZTWVgGashNH5TkBSo9alKulVQKyUuCV33VRC+M4Cje181LcDOhKlkkzWzeePRc6s2hTHGGlxGxd842vtO4aInfA8v0zqsRWXcay56lCJ07mrAnSxO7Sljtypsin2KFDWlv55XkJvh/xwNMdDp479trNu869N0nSf/gXMnh/8aMIIb3dcwcRL1rmN76wmeWwNlozKRUYmQUHpvJoGNdaqVsBdWF2j+d7xah+K5ZbC+a8BU0JcIVNK/vCSgFHYr1aRVZTkT3PC4kcKnNQctYuu+pLgMtCtvieKVraPE9XBuckuBl7e06MlBGnLgoWOwHCcfAlI/JEVr/W2Omu1uNU9XGSKqLEZaYVsnvLgEMXQwapwzAFPxV2nmOS6fCEwlkqcgZCVa4mURxym5PIGw0qTSmpxkk1qZIoJ9++XGXFailS6Wyl0KU1K8rJWPZRI6Ns86uqQVDoUVN8/+JzZTAwhYtWWseY0aSgBbosqkyV1DRqQ2anO3ztSExiTnE2ut3Ten2+Zx3Af+sTJxACuu02yz3N8sDQ0za7ZT1Q0CL3smVm+ZXaqqSorydHqgQuRpoXEAJJmSK2U6ksiF2RgTaTAPnz4r0xkOcjIhxlN5dynHIeigW3tI9eDvQ8+MzAnXf/OLqQKK5j9annxSTEfO5rNeYXa7gTCq9aw1F1UBhTpCM1GmIsCFQMQzvB9q2v6PG1p4Z0koC+41BLNFGWTleyLIjKC86E0JSdQ3mgWY7asNZhNlPF5D2zAkcLEiVwUpntYmdreZIM6GUyLQ+eMxbPTACRWbkiL+EV5WOObLHB6j0C+3GQ55+dirWcvc4Te1PNId/3lov04x7NyR4Ywwe/HsA/+okvMjNRf+V7P3DnTQ88IWnHYHwHIe3JcDLQaVPY1yOOyEYFNyNYLr5s+TqvVpOVR4W12fI0sRLla5WVxZYdO2QgpxiFUAV2MQdFYfsRNwJ4HnDmutvJZYnJ9PZoLbnnxnhuxMW25rGjNXA8nEyeOJUCpTyDKcYQbk+aKZm86EuVhScexy43Xh4yMzmgvVqnnyjqCtzEfheV2uYSFVcBjgV58YdkcX6KsghtyhIKZQcwuVqQKkmqNKkSJBnIq8Vro+A2BcDLkRO6MAnKGSs50KvffONb1TY2G4E+/0/2XY0ReI7HP3hLShwn9HXrptB95yuPHfy2+/Zd9caNAe4pTRSH33jtTueGs2fgVM+ll5bM7YpygM0oaksjv7wyNwB3BdQ5x1iAmxGAV0euyQqwiylVVYCL3DbLm4tF8dpVAlV0r5TAzptvLXtnmtuh0Nu5JWgZuwS3W1QnxghibrvX52vPNJG+gyeFnb9dVBCWbXRlxd94NjOr0ylY3AaaqVYMhi4vv2bA217V5XdvaxKlPr1UEqSGMKlc1KIiU6TMWLz6py7F5KAdmfVCigLcqZIopS2jS5mNltCVUmRdVG/mhW42da9HiuFyYOcsXrB5ToUbmiyXDkzz/08Ig5Y2cI8Th/6gxtn5Jqvh7A3b9wy+Uafmvg0ZfHX5HEGt8aYnHrnre268bInhsM9H7g3Q2rfsJzOJUKRoR3XVJQXJ2BJdKO1KbCmzKz4Hgyyem3Ij2EyaV8GuVAl2J++gV/b5CItn3TCuGgW3HacwxtxZz6aXtbe5Tt5wkFTuMRExf3pni9T4qCJ7WQ0wy77G3NkY0eA5i+ftelraURppHmw6CFze/bo+f/S5kDUdM0gDBqnATShYXEqDTERRdGbtwnEtKivWpBip5ksdU/TMpkqTOgalrVxJlUGltoLRZo9lCe7CojRFjVC5iuQJuipOxvT4pah8XUBamdWSl0djpZGrUlI14O5nGzx/fIlveN3a97z5Ta+/6+Tpc1/cs2v7KMBdFYJRl2+eWtw3d/0JIjPgz+6eAe3hOgJfWH2rKsy6npM2wHfO+KZaPFVh8YLhRivvVIUBpVivOXPGzmcO2i4eUWjxfDTCyLCbDNiOEqWTUtiBtuPeNiabjLnLANOpsLfvRjx2VHLkfIBRLkpKPKkzGVWVKOXVva60dESDM1J1mTsqceKyb1vM1Zf1eOD5GrHyGCSCQNpx004iUCLfNFcgk0yHIxFoRv+kqLC4qEijvGUsd1dsvYsFd9bOpkwF3HktkLHbhhclFCCkLgiLCoPnQec4k28M9LGAVBhLDRm4jdQZbgxKJUj6PHFyyGfvbrP9sv6+V/aiy9u95IvrGPzMxfMgG0SDs3TaF/jsg9OsRHZSbCBts6qbL4nYstWCmdeBfT2Qq18uf794zJ7LCqgF5dy86iiIUpcL2z2fgz3rdCmYXJZj2srtvzPmrgz/sd32FMAuspUFc6d4jk3s2K6gGEPMn91ZZ3m5hvAd67tXL8IxaSKqB6Rak6FHWXXEm9aKOHaYnZZ8++u7PHa0RZgG9JVHLbVaPC9nVZIM3PlaoTNPPC/MtSzOmB63ne6jU6nSbJim0lk8IQ1KmzKxJOSYFq/W5ssR5rZ18FW5UrncCsyYdaCpqO6ymEsatACpBUbZn4hjRT1QfMstSzxyMCY28+jkHDopiwsLgL/rX92GlJK11RXW2vsYJDUc16PpQN0xBXuPZOg2WG5G5LlY/7pg7fzLZJKkKIdldFewUaeg7P6uzhwsAF6weD5oU6KcUYB7TjYAyM23DswynI7BLVLxOnuejtwdZTt3njsFH7ujSSg9lFRZ9nL0QhzPYI5f/EW8UtRJV9r6MgZPUgc/dfj2Nw754Bf6PHW8Rqxc+lLipTpzjwQyNXnG3B5DKYqyB3vT2d8a3beoyuSpBqewELOpv1lJgEpNMaxTFdpblMwt8rIBUwKbCsBzkI5o8g0AvgG4c2IUaR7MZhWSpvzJb7hxyCt/eRXXuws/fpYJr5RoDsCJk+fYs3tb/Qf+5W/uvfuRPhLBpG83L/JVmXpW1Wi9CuBxII994HXSpPqFGQvGxhgwX+pz4IyPQ5YVxs6DzHxqk+Pkm7xm2luNgTtP37t5Y7K2M0OKFrG8pzPJ7jHKjThyzqEbeaCcTJ6YsfLY9SvUiItS0cNm3AvPB8zrUos3XMGB7UOeOhKRap+B9ghSW7PtZBpcCbuRq00s5d5Dtn1MBeTWg5bFqmE0OMVgU/ueyoamOpqsg8ggdTkhoAR5DmpRjOwoO64o2XxMRxfkNz6yuWonVle//Pdok3UxmZIEEgelfBApUb9JxIG9u6/7v+udtf/Qb01uswA/dvIC80trb7xq9/RPPvpwH78hM396TP+OnTjGwMvYVVkFf/XnN5QoY65DkeYW1dl5mTSRVSbPxrTlNdKqAurieZbkUWReuAW3BXA5FMitypMqe6usr9OLWOlq/vsnmiwPAoTvWnkizciqUg7O2dgsGAE6tmzW5OMzCga3jkqSOLTqDj/+rV2+8liL5dAjkg4DKfGyHspy5EO+CooiqLPJl8xJQWfg1pVKz7Jf0qlMd3UUBdiVFBmDW0mUjgO8wEc5qTbX3YUmL863qeCifH+UJMeGgOYyR5ZOisxigkiUO0hHiWS2se0nVxYO3pcm/U8XDH7Pg88RBB7PHj4NJqEVeOS7Ao8AkPJDFY1SGwSOxT9t8G/VZVuOgbw6NmxEpowB21505fxBqcrxY6oCakdKnEySOAXAc82ti6DSdXQBbtfJ6y9G2dtVMZ4X8dE7XZ49VgPpIqXEz0tjKye4CMKzL3fJasIKmxcNuRWZkmiZbfLkcu2+Pt/8qg4f/EKAdnwG0sOXokj6KCmIK/JgnMlFlcnzccgjjSh2fqQydlXQRlhw5xashrSYn2JXjLx9cGQEMxSAr+rx8jybMRyYkRU/J8gRwhy5GPLurvKCIfPFtQ4ZdE7iOIo0CUuJUgtcaoFnu8Y9qHsmu47GAFtdSsz4hxr9QCOuychVKip6e5TpSu0qMikkRobRyGy8mPq6AJclwItETw5wY+dkZ1LEVaVb4laGA5Wa27K369ipVattzZ9/tWknCwSZeyJye/DSEiVfDSsEVYJ83LbLLcN8T5xUEScOUy3FN722z2e+NmS55xMph0EqM3tSZO6NKAM+Oapnydg7f0sXbJ43BAuc3FlR2fNstruWdvS1Ze98l45cg4uK9hYl0DP9LUf093qJktunBW6EASNHbehx4hylCvLfYowm1R5CeAX2nGefO8Lc7PSer9z90E+0Vy4yM2EnU43MB4SC0at/ZcTxyT5JflLzipONpIl9LcYSIaOv80L+QqLkw2ikKMAtq6yd6XE73J1RcOc7G+TMrSrMvY7B83ET5cgJR9nM5YmTgudPBWh8hHSK5twyPqnGD6LiapRfvFqLUjK5qMgTUTgZRbtZ6oBxuHJ3xL6tQ5YP1TCpZ1k8tTLFqUjJkjXFCFPamiFZlj+ZjM1N6ZNrKQrrsBrbqAzoUlp9XnW0yvM1GuRWiaqULKKCgXEpW7JiToTrQF1NKI4Ey5YY4nMreM3mT+zYe9MTF88fPemAJozCLb5r3qSjNWZaXrG7WT7xs/glVUKoXkYm/4CVK3Hkg6+XKBuBGioHqpjzTUWajAK7eFRko4CrPnj1nm1prargroA826/ezUpDc/ZW2WvHiVEq5nMPNDmyVAOvlCfu2Iketz2/nggfHTJaKS6q7m6Wl9FGDpfNRrz15X0efq4O2iVJrRZ302zIZzoqlQpAFXST24YymyVYzqgpnsvsucxWFZnfBakiCzbtebGvs3OjyzhAaHtu8wBUjHwWKAuyxNgKb77e4Ro5btXZOmm2yVWqHS4uddm0izdFUbglivVJRyl7QAJPMjPhYoQiiu2M6XxPlWJed5V5xv7o+FKyjq0r4B4BOqMzqatBWg5osQGwCx2uRKUJtwLurDal3LaD9cB2ygFBxYg3R2cgT6w8UTG1esQDhxWf/mqDwdCDuoMjhS1dqFYPjgWY4xf3uhPFmP4eswyrvnicOEw0Hd5x65AvfK3PQ4c9TMNlkPp4guJCUyOAKmUAYyCvQskGn9kFpiybp9LqcS2zTQt0GXDqLLiUOpeQZoyYsnOpReVziIpUEZXjUvXIBWMwWn+8qgAvNrayM2SiSNDpKQZD+36cgOPIBCkS6oFhbtoljBW9QYoQKTKx+1eWAzIrRS+XUuhjTD7O4sXrEYlSgmJ8fG/Rd1iRKPldKZHNAS/BXYI8L5s1OE45QtnJNmFy1CjQ3YKt7V0pG2B6XkQcpXzh/jrPna6D6yKkykBlCuu0kCaXqCIccVSqrE02tLI6gbcynUBX7MIocrhqV8KbX9HjyZM1wsQjlS4DrfBSxj6LYCRNPgbydYWfKr/YNFoJVD7xIJOrUpZZzyL2kSBNJkWy96Xe2O4tgF3V4NmTSw4T2oi5yY8VGcBtI8ggFPQGguXVlLVuTH8Q0etHOAsnP4PjKJJOj11bBReXVbadmy7YWgv75WS+bYgpD9sYvMcyl/Zf1lmDkhF9KMYAX8wSKWRJ+bqUJhWrsGDsHODl5NRComTMbRnbFEztFI/lczcLLh0V43sRz5wSfPFrdfoDDxouUuSVg1TswQ2ymBW2qh6lvBbFoiurSdmgfLaca6KKbp9mM+LNt4R85u4hTx73wfEYaomXaXGlQaVUvGgQKXb5F8LOaSjAXgLbGLvyFdJFWjbPV5U896AlSJMxer5iFYw+Nn4ZUw7VJ7cPxyzUjaTtJVynAuQVeWJ3SxZEsaDTS1lc1fzZnz/IZ7/8HFqnOCY9RJTCRD1l11aP80tTdiOgbLlRxl5h0lSL09e1LYwElRsGmGMyZSOAVztgCmAXEkUU6fncVcnBLSvDI52i4MqytSrmg4+BO7u7+RTarMDfUYm9OzGuG5OYlNvuq3HPMzUIHJC2oTmvrKwGlzlji+r3/zo6fGS/G/JyVopm5NTkc01KoIdDl9dc2+etr+zz7KmAJLGyciAc3JTiM4m0ZPHyI2zM5FUjQamcuS2b29cCqQValkCXsmRzaawcKQrkKvNgRMHoJpMsVUzkDkuFAjYILKtZX6gCPBu1XeBVc3Ylpm+WaDTX0KnB+a8ft9tB793aY0ujy5FTdWqBrVsQWEtIjGwhYtaJk+qtYO11AM+fl4yeX/1VUBePMk/2ZEBXpSYv0/SVuyrBne/qUNydchPUHNBuBdS5c2IdE/uoVIznxjxxUvKxO5uAB9JFCIVbJHdMUVw1mo0VxXHIj8YowBghipGiq2oJbbaRgJ1Cq4r0vTEO737dgC/dP+SRY3aSQKwV/VSUdfSCLIUvivWiCpr8sxhjyPYQW1fyLLPzrWW2n0/FziySWoZCnhTEVAX1iPU76pjk749mLcc/Z/l5xod65v69kFD3DZv2GFLZZ9+uiKsvU/SHBufkmRmEkJw528AxA3bN6WxPm4oOLk6IKbstxoG9DuSV5bmQKKJwFqoTV0sNLgpQi0pSJ2fyYk5eFeQZW5ebTVnWLgfgl+AeYe3KY95Ym0sVpRJcNyFOE+56qMbTR2vguiBtcOkJU5kcW2FwORowj5L3KLRM5UlROluxvUaqC1OZ7ZghSVOHMHK5Zt+Q19xsWXyQWhYPhcdQg5NW8ghpLgvyFHh17TUjpkEVQDlpGCNQBpv9NAJhbB7CGFGCO4s9xmuIcgYvHJ28QG98Ra+A/uunfu2DHsOgEnYYVbMG73hljZnJOspxMRMGZ/8W+8ejCKIIAq8a8JUHJm8KrS4V1XO3EcDLjFpVh5ceafVL2ilNme+d/dt4/ckIsEW5wVTO2lWAlwxeAXdlKH7hnqgU5VQAnkkUz4k5ckHwoS80CWMX6m4mTyha01R1l+CqczJyVbPxSTOjQK/KFF3dVdhspMUdGr7ke9/c57Z7Ghw+Zy++VCv6qbJVhqko5gkiDCLNXIx0dCXJU3pVBreAtuCWmUaX2mCyc2SkQGayJa97HwH7mJtSYElXLvwq2Iviqg30yQYAN5Xjlx9zY2AQKs4t1FnreziOayXX7/3Or26eaLj/z/lzp6+04xTsXop5AkUUYBtn18q9wrz5z41nGEtNXXFBKplHKWX5uuqKqHF3pBpEjgaSjlM6JvkEqCq4XWVw3DxrmY5lLstmBteJSGXEBz9b54++OAm+DypAKYe6MtSUycZRUDQ4u5XWuDKTWk1EScrJsIwEqGUsUdqO+UUrJFnjb9kLaWWjZueWiHNLkkef9kiEBKHQwo5Yc8ZXkizuGSUjUYCmEDI28z3aNmbMJS+GUQ1viwKqJQjVPvSReENX37PV69XH0Wlo5dBWXR3gOjbnUhtBnAh6A8nc9pds2bnvNV92jhw9Nbm21nkLJqERuBUvt7JHYuWKWR9e5gdIjLD3qA1UPh+1BUdfjy916+vAzYj2lgUYSklSZW9V7PRgCqC7ar0kKR+tc+I6Mc+fl3zkK3Xs/BXL3lZ7l+DM2+mKz1v53tVAU1RfGGAjcOhqbUg5V9AGnllW00h0qkhVpsVTh+94fZ9P3VXn4FkXZIQRkmHqkg+aKizXNENyWhluihnxw1Xe6o7J9HfG3pXH4p6ztrEpeqMzf1xnAeqY9Vt9PmIbV56P4GecycfYuypRhBYkwvreSkoMMeGg85a15dOTTn8YEsUJriOoBSqbc1d+fVM9IeYS4K4GVGL0vVFpMu55j/nfcvR5FeBSmEpwWXmeAzmvdss1+Ai4S1misudKaVTF71bK3h2VkKqEz97X4OCRUnsLIe3IiqKDhg1PoA2eR92i8RXXjDwfbUAe8cQrE6kcnW8ikPvjVqpcdXnI21/Z49hHfKJUgXBIhcNACJw0H3ucB7qm8plM5ROU0jOPs5SxFibGFJ9RVVlYmDLFL0BLgzQia0rIiCo7BlWwVwFdzWBvCPBL6fHKilENjKEsyouThCQOcSbqLjpymGq5BL5DPv0zzXaj1dlvGP9FG7H3qKdZrYMY/YL5VNJxkGwM8JK189cFa2cs7lSAXQX6enBnmjvf4kRqHJkPtbFgd92Y4xcU/+OTLYbSghvhVLrm8x5RU3ye6ndbT0GXOEf58k3O3PYAV0dMl4GmLOemKInSilQ7JKmLnyb8w3f2+MRddY6dd0DFoB1i4TIQApWWQZ6sBptjIM+9+ZzI8hVGI1DYY20oGVxlNqI02Sqcs7qwros0pgD2ejMhAz6jgC/w8xccwnEJlG8kWxKEodMTuIHEmZsSuELQnbW/MU4gim12KE1tr151j/iNQF7YYJUrlBHfu/JcsuGytRFziwpr54mUHNw2g5kNwc93U5BVcFeCSpndR/zuyl1aeeI6EZ1I87ufaXFuwQdl5YmQsrQGK65J8RxGGaqQKdWtp74O0IsTljceVHs08xR+yd5FM4RUpInD9rmQH/rmLr/0IY92bAMCYyShVtY2TPOV1EBaqO0RkJv8w1Q/rams4Bmr28xmFoBmddg6kytGWHkisucFkDc41yN7cI6DXPyF/DC6x09qiBNNHGuSRDMMYxZWElApzuxUQqBionZMmEi6A0mvLystCyZjlezLjxyD8jBVr8CcyapLEVTADRszd6VovypNikZjVRbZK1GVJLlVqCtavAR0LkcKiVJsdZIUj46KcfyYj9/m8zt/1iLUrpUnQiGFxBOsbyreIC1fJrEqb17idJmSQCtWYVWfi0qlXJndLFL42m4FHjgJP/KuHs+f8vjAZ60WB0UqJENtezdlSsHgZQFWfrJKxs4lSs6GypSSxVqDJrMJKQqypMzqsYWVKWXpbFZZWKlP13nug3E9LkbxU328xLHTxg7sTBJNGGn6g4T+UNPuJmxbS1BegrNpasCk36em1+iHdc4t1AkjF6JcU5cfcJS1yyfFB4SRJadqCcF4Cns0rV22P1WZ3FTswcoWd7LU2arK2sX7o+AuLcJqlWBSebSzBldW4RNfqbMa5uC2AHdlNh4uX0GkWb/q5HZZ5eCsC5TGltcqg2MYrerLN8vVMtsdWo/WiUsrVbS2QyknvJR3vqHPp+6rs9xVIGPQihirx3OZkgN6VIdXn0MefOagV5WkUF6fIo0FswV3xtwZ8IXIA03L7KOrm00cCqyUKeKzSndPFUvVx0utfgBJqllqa84tw2IbNu8RiEDirPb7DPsdFnuLpOkEnaGiN3CJExvJ58CsInsjx6QAcBX0cgzsl5Am1fRuAWwxJk2UyUYFVO20CosXw2lK77tgcVmyt2Xsih7PnZN6wm1fDXjo6Ro6194y67kUuTwZrTcZ6U+trmKC0RXtkiSesWcR45QSZbQ5uGRzm8KXKFP64knq4uiEl10b8baX9vnDz3mgIhASIwShdmzwRa7FN/bBqvZEGWTmn8UUpRtmRKqQ7c9kj43JXDhj7LExYhzgFeY2+XEbrxNfr8WruYXqZ5fCTixrBIpaPSaIB0w6A1qTfZqtAc6n76tz9mKTex+eZqoRsKUBc62YIFA4UmbMJEaXiw2WknENfilQ51+oGlCKqjQRFB0hI0VMsjK6oBJo2iBTl4yeyRSlqqDOgZ1mWjyTKDJBSTv4/dhpyYdua3Kx69n9rqUd9K4E5Y4NY/HC+u8qRgB/yfW1yubZk9HAaXSGSblD9GjPppL5o93+ZHMj5fve1uO+p32OzUsQMaDQSIbC7rUjUwqgCz3G3GZcJplMpoiSMaVB5ReiBJnJl4K1TX7h21VDZ3JFyNLB0bLMrpYxWiV1P/K8WHTse5UEjxB5ngGmJxTXXgGzMwN8d43N23oE9SZOpxPQXq2zujiBEzs0gZavcR1p7V/Gwbke2OPBQVV3j8oSMwL6EuTVPS/H5YmpAL1k7cIuzJIgeWCZ75dZ1dt5oFnobpniSCtNPC8mTDW/9dEW9zxWs71t0rHaW0rbtSPK+SvjF+FGqfnRjGaFhcbAPZrBpHQyMpCNls9Wy2htu1luF6apJpEOKnF4zYsjfvjdHX72tzzCRNoMlJYkmauSFzzZz1b63uXnGmVyO07FSpbcSTGZ9y0zwJvMQTG5ZMl+v8lAaIRBVKWKGWXtjSStrSgoqw+pOEC5aZFPO3MVBB60ah5zjUnqgcN0vYlXq+Fsahr0tOHANsNkE+qBxHXlOktnXD+PfygqP1PImuoyvk53j4JdFHvNl+xedovriv9tRiSKVKUsKTaDzTJ+pQ7P2TvNfiYpGNz1Eu58xOVT92SxR80ptHfB3hXd/fVKYqs2YQF2xAjQqwivFjblWcRRcINRGaPr0VrxVEuklpV9SW0Hfq2e8M7XDLjjngFfekRZ2xAJQhILh0FVShb5yww8xTiREuRWg5M5Klldisx8cCi6f4ywtnJuG64HOsXfySd+SZkDtmJEFBdAJoXHx5RUlsbczdFAHAuW1hyGUQPfUeyWdRqtGs5US5GEii0zDrXAyWb22QlQRVH7CNtuLEPWg96stwWh0nGdSZXid5tyPEShyassXmHyEf1dDobMmTsHd3Wutao4J04Gbs+NWesZbruvzuELgZUmwpbEClk6J+UEqfWsvW6FGgH019EnObgNZUKlKlHyQC8H97rhQGWNihQKmaZI6RCHDvu3xLztVT0eOujRjrL0a7YLXoQi3wdCYr3xJFv/TTVqqyR38q9SlSxGlpJFG9sAIXKQC0qgZ85JldRy29BUWN2QOylmY3xVZEn+e/LPFSeCAZAaySAUCDxqUy6hcXBmpxQiddg84yGVUyRiip1080BRbqw/R6WJ2eCk2y9ZZfhqgkSO6HFTMrcowVzo74oWV0oX+ltWbMFx5payyt5pAW7XSdCk/MHnavzOJ5sYkUuTKnvbkWwb+fNyg+/JyHL6dTBekSUlg4964UVdeG6HjU2htb545qxIG3AqrYlTF6k0P/KOPkfPu/zOpxziJAN5NjY5FBKl80ESmUzJMzW6IleqFqK0TG4yoEuTSRZjj4kxOUGJ7HrNRq1lgDSVHtuigC+j7aIxubra56vKmOytHu+ibDabzBXFNl6MIkFrFiIDzmTDoCOYmcxHYlWWiq/zy8dBnb8e9YbXA16OzNO4lAYvR/Oqda/NOpDntuCGsiTfY6bimigZ43oxRy9KPnVXg17PhZrdC9LuBymzSbrlsBspNpAoVI7D2PMc5H8Rh1c2w6h40Yyyt8wKjLLnI0DP71nAKaWdadhsJLzj1j5fuLfG0QtZ+tXO7SUVgkH1k+YltMZYYZuBQGWep6rKlYxtc4mihMi88EyyZ8fJZBLX5Kw9ps8FGzgtUPYHsB7sZvwiEHZQkRC2swdsFrM3iFlpxwgV4wSBSy1Q1Pxs5109erBzEhpdJi6xjFxKX2/wupijlzP1GPiVrLB5lcWLLbxzWWIqMqR0TGRFnuQsnqfkHSchjDV3PNjgK4/X7HDwCntLgZUneZFXJXGRg7skgdFYJceN+IuQPUroo0Afu1NhcJNtRTIyBSvT46lQqFSjhSIJHd5wQ8QbXjbgzOddQm11eG5QJziEwsoNO7C1EnBKUTn7uT4p/e6CyXNXJfuyZV3KeqDnQ+tL29CMHL9ilU/HQZzJlmqQWr0oK2ugztL0YZgipIPjejgzszvXev3oC57nfovRduOgVJedG4x8TVNKkktoUDl2IYwzutzQiSiBXabnS9YuxvWqfMKpLn3xS4C7zFZmqXiZIpXt1JFewt2PePzy70+Qagc8VWpvIYtxbLk1qOToKjPiAuWHWRRQGAX31wP6WLKnmsEsAqgC2OXsQJOztxxLAGVSRWg7LMjzUn7q+zscPutw98MS7YmMxe0JibViAGVeY6SVrSJPMrmiKp69kpS7fGTeuszkiRgDusiALoUZCzhLqWpyVh8DfjkVa1R7i+LzlcC2ZQ0az/OYnmx94bK9u9bUzS/e3uusLR1zHfPDropwnVE3hDEwS5mt5GIsw1hpRqhugqrGnhdlrqryXjV5U5liqjaqEKyytjIlsCsgd6rPK9LEzXotz64IfvlDE9z3eAMC13reyrakOVJQkxQbSuUbXRU7KsjxWu5q4/Nox38xbUvKoja+aJiu6PrxuYZ5tnZE948Rw8bxSz4n0BQkPDuT4DuGh57yWBvkbJOnemRRvz1aN1Oe/Gq8bKpL06Uq7ygrXaoyoHwqRmIO8rKAkQtdVGKUcsMqKq/z5JPOa1FiQxQbwijF930Wl5a/76mnnzvsbJsdIoQgTWIGw5g4VvRDhYmsHhf5Mplr7MryUnVDiotAVq+67AplVI6M6HExztZjryUjssRmM8vC/1EGr2x7V0nD24SOBXnqpXzoMxN8+qsNTKBAqKJiUIiyqMoZS+5c0h6sMNIldffYe1X5NyJRtLC+8giLV4KpSoePkaVMsZnESo2KUEitEcJBDlLe+doBzx13ee/7HSI/KQEuBEa7RBVwlyn88jH3vnMf3MlkQ8nulcdCbpROS/G7ZanJ87LsgrFNdhFnS0B+nE066rhU61cMNhBPUghjwzDK7onG9VKM1jhzkwMQEp1GRFFId+CTrvoMI1menzFAjmvrUVYZvwDWL+2ldKlKlNGJpevkSWXgenVTJMveacniFb0tM80tM7BLlfKVh31+//MNhmk2BV/kd7uJaVFzUgks140DvlTQvUHg+RdrlUzfkluDrLMLqyW0pgB0psGlrReXmUSx4Le+uBaaVDv4rub739rj/ic9vvR4EyMScm8cKdDGIcz6LdGlPKEqUyqOivWwBUqbEtiVakIjsgymyTR4Ds7sZ2QOdEqNnoPciGrgmRVsVS5AQ96GVz2shiiBlZ5gtS+p1SSBb4+Ps2VuAVtnNkTJDgsrk1xc2s4gFAW4R1wQyehJH/GGN7oAxoazi42ATWVprXrgJaDzXQXUusd0jMnT0RpvmaXknZh+CL/wexMcP+djnAp7Z763bWjIBv3n+luw8WiI6nPYYHmv/OAlQD5eYz+StqdafDU6Zm2kNqXIbtqZ2VooUp0fd43QDjJKuWx7wk//QJv7/5VPd5idJF2iRKMITfZljRkBu8liL8gaIWSuFkTpqIhRoIsq0EVFn4s8nb9+9c8txmoMZ2QVTyKrd8lAn0s6TzEIE86u9Dm3pplsCYJAo7XGOdueYKIhuf8Zn49+0WPnVI0pX9KsCwLfjjvLM5LFDmKyKicqdmBFnlTBX93OolqkVM6WLoFdbDQkTYXJNwK2WeeWFBKlktiR0uruJIXf+HiTxw8Fpeed37OaE1eYSjtaaQ9umInNpUcuS7PvJ6pUXsBWbPC8fKvqopTypEysWDCb9dWGImN0UbEP8+m0Mq88VKTCQWrDjVfG/Pi3tfnVj04SpRJIyi+hBalURGmux8vKQ6hIEmEBnzspKn9PWKDr/BjBSCZzPHjUleNYGBFU/PKKcymzkkSRvZkHsSrL1wSeYvtmyate0mNuepknTrmcWKgRuAZn4P5DglqD5cEzHDlyG2K7h9xkN2ayGziNsbcc18pjDko1EMq1d1FVOCpNiq0vRLkrQK617b+NsXgBdl3R4VVwjxZRKZkN8QlSvvygzwc+3qQ9cG0GR5Q1J2U7Wpm1HA3uKiwiS7YpCLpg85LDy53VLjE6+RLvjTbqVnX4WKePLAd1WjdFoFOJFsbeU8vmNhmkSBNNK9D84Lv6PPqszx0PKKiLnGazYhJIUHYIbQFqgYspgI20Lo71wE3hqGiRjXPLPXOd6/FSm4/ipJQnOq0c2zSzFCV2Hk+h721yiXygZ3bolBJ4nmSiIdk1N8G22YRbX/VGmjM3ksZdnIbvE7gBs02HfZsNm6YkQSBHTm5RvVdJkY/LjioDV5eeUd1uRt6v7ulS7tZVZW+9DuA2iLwEuCv3Qn87CYdOOvyPj7U4uuxm+95bYNv7Ruy9fhxyvn9QuXxWZcoGOzpsFGzm6N8gscOY7i7lSmV+oclH6FFhdkqZYgzG6JLFc8ki7BbcMtbsm075h9/e5eRFhyPnBMYZE1nSJvxCqGQ2bfBLVn2Y7QFlrcMi4WPf00Jk82LM6LVTOWbjYEdkA3xMqZykqfw75QpBUc9i9T7aboM4CCXzKx6D4QRTO5tMqDpxrHECT+J7gsmGZNusy2TLpR4ou81eNji+mByVWXYjGrn6YeXo1hUjAM9/FjMmXUpQi7Hgsrpt3WhwWQF4EVDm71cKqfyYi23BL7y/xafurGNcx7ahibLXUghR0d6VeScjQeb6ex6frEvqVIFeDYQqP3Mp9h6RLfldM9ImNsLkRiBMOQo5n0grMha3zyVCOLbzBYMrNe987YB2KPnJX1HMrwnwKZkcAdIh0ZUuFV1J55O5IzoDurS7J+dyJQdzrrlz73tjgJPt/VpN62ccIIDcJi1qzUvJlBONkoYo1vQGNgnW7rpc0XPYlEjCSOH4nqIW+BcbdfeLl+/d/KZw2CPwBb6XyZRscGXVi67WhWzE1nKMxUe3ljMjbG5/j64kenRhB44yuR4LNkfBnduApe5OiNB89msNvvxw3epupQrNXTgnuTSRZXCZs/dIgF1l7rHnI2AfJ2zBBggee28sazmash+rUck1ej4rMAe2EAghs4SQRms7a0YbZZNBUiKyikPfMbzxpUPe/so+f/R5SZQIcJJMOOefqwS5yEGcP5JddNiaGSVK0OcrXu6o2M1Tsl0YTIXNs2OjK00xubMihO3Oz7V24c4UF3np3tjjawfFhhFMT00xiNQXleNfTM0Q9eu//uu86RteteY6ck2J5LsH3UUaNUngGbu1tUM28iwfqjOesKnKl0qhlKrafbm2rlYDUm5sNF4CK40ddjPSxKCLATiXBHcuUZyEVGo+c0+N//DbE5y46JdNDMXdQUiBL+0+oPnMk5EJWdWETp6YyrWmqCRoRF6YJin3E6rMMpf54CNZJnjyQjY5+nrdFoqVlaRa7DUiEalu6TceFJeysIgZtGG6lXDV5Qln5hVHTjl2HNpIv529YjW2HLUw6yoXbHXiYrlUrV+J8iVsfPbhyCCg6nvVnyGvyxmpA8vIIC8ttgmfYRixfeduGo3WP3/++WMPvvIVr7R79AhijBY4KqZZT6nXZKXPkbLuusKqGx/AccauWIWMBaAVeSJyFh+RJ7rig5eyRApdeN85uGUB9gQpE1w35cSS5AOfbHD4mA+NXG9X7+vZu9ohP1pQZdZp7zLbK8YCzfWypQBWxUUZJ/Qyg6fHHJVx9s5PeHZydd7dXupxWa08zJg7FcYG1FnQGYeaK/fFfP+3dnn4GY+Ti9mXlyKrC88Bb5nc6t3sb2fyAW2yFLx1fJSoOCpZI0SepLHWoRjtuGf0YqweY115nm88bNWSyEY3G9IsyaMSQ6wMWqf0BxGDYUgYRthPD+zbtx/Xq1HzIvTwKEomRVR7qQxjtejFnmB7espM08YypbwgqpahqViPmhH9XXFPSpmSa+4quK3udpyEla7g1/+oxV2PB1mVYO6YOEXFoMxKYfMxyKNMWQaUI6Bn7ERUHyvstmFw+fUUyhhljQSeY6C20sNYZs1mA+b6W8rcPix1uNbZFnxCYWuzFSn2mKd9w2tvCPnH7+nwH39vktV+rsGz9V9TpA5TLQhl7o5YLWztSYND5qyIMttpdNZlT+np5w3IpQYXle4eewjWWbD5sTe5pWjPUSrI2inzQNSSx5YtO7j2mmvo9QclwGdmNzM5vfWO5XO3//LWOX5yOIywO3IJyrRpFdhj4K0WYVEpiMmBIo29CtcBvnrBlAGlqDJ3BdxSphU2z+SIsPc8uBwKw299ssn7P96km7q2n0nkxVS5LWhn91UrBgvtLSvsvcGSLyqMTeVk5Bm1cru+vyTS8yW8GLYjiqV3YyavMnrZtykz50QIU4K98p7QJgO+vWujSBND04354Xd1mV9W/Lc/ajGoJH8sS+dMrki1tMMWsveNNAWwHZldhLpKFGLEA88TPFUPPAc6jDI3mI3JpDrgU5jiGCeJwfUCDh5b+uUf+PtX3nH6zPkS4FMz2zj4wE/1AyVPTLY0itjOvss8LSnLPyiFKcFbAXJxPnPAZ8Cusnz53IwAeWOglwGlBXs6BvSSuWVWa2IczXNHPP7kjjqdOKsSpJQk+aMgA3clmVNl7xENPH6Aq8yyAdNUWbzE96WRnrnGI2w+GmSOFhdVwa4zRheCUTbPGV1YX1xo2wigjZUrQhjS7LgniabpJ3zXG3t88QGPJ54XmRsoS3BXNkxOkYTZ/MEc3Db4tMczd1DyRJkRpd8tRRls6ksE7uXRGm10z0G/UVukMbYWxZcOB0+unvim7/uF/mf/4KdLgANsu+xdKCdg/sxXGQ4eQqp8cmc1eDHFX1x3yqrALi4CxgBekScVHV59r8rYOdhVAfj14FaZ7lZuylPHPX78l6d4+oiPcTNAy9F6EzJb0BFmhL03LqayJ7bQ3BuBfeQQrEf3X4rEKy1rVeQXI91GGNxkjG1RYkTJ/lYG5CC3vrjIGFyaTK4Ig8iArjNZKSLD9VfEvO8n1/jh/yR4+mgWnOT6AlFqDBx0BnItsm0HtQ3SDdmYt8qFWQ2Qy7qTSn23GQO22PiYFfHOBheFMdAbal55ywHe/c2vptsfsg7gXm0G5dRxPR8pNHktQ3X/8WI5xuQG5oaMVL3iqqw+InOEHrlwCsYWOtPjuTzJgsksWZEDWxRaPMVxU7pG8pufrPPEsz6ps0FQmeWDi8CSqu4e9btH3IsKM4/74DnLjHvj4i+J8Cqg17kLRUZo3G3ILwbL4CJjbJlbh8I6Nrr6PGN0O5A+lynG1o5jQGicRHPj1SE/9o4eP/WrLt1EgMvYdvdl4GmQxJSa3GCL1HTF/7bdP9aFUVkLWy5JZA5u4C+7fWC10qEgo0xSptpQqwds2zpLu9sv/pcC4L4HwpNHlaofS8zUPmEGBEHWCib0iJ9bXTpHExXji7L5OgHnuDzRBdBF1tRQdU5kBdCW1bNUvJvQ14IPfKrBx77cIFRZIFnNVkorVXLtXewtv469R52UcTkysmPFGNBLlqmQwHiG5xLnbOS5yfcjNYU1Jk0lUMsBVfWEMx0uCgeFDPgli2thECZjzlyXC0NqJGQui5ckfPsb+hw85fCBTzbpxVg2GAG5qYBckGTrts6CSjePU7PkVJW9bVRnRiUKpQYfPyjj9mH1eEny2nybvNo612BionZMuN5RVLQe4NK/nINPfv6LUm79sOtv/mmRPE/gGVtmKssrzB5MWQ4iz4FOttRWz/FIsFAWbYmqLBljcJEzt6iCu+KaFOC2dSfdSPCB2xr8p/dPsLDqWjM7B7WoAr0SWIrxjGXlPg7uCquzDvAb60d7F+tP3CUQbsafr3NSSjLJfV+Zp/QLBi+fCy2RIi3cFcvcNhFkyUZmuy1YUSEztyXFsGUm4d/+QBsM/P5nm3RjYVOUIyCnAnJIsrHJOk/4YOzOyMJuf6MwRYBZbIxVFiiO7phd+d6aajmC3SBOZ8dCZOcwUAaXhOuvnGP/9okP33fXvV/8nu9423qAA9RrAqH8z4mJ8JtJkhs8N8Rz0yIyL7Rdmm8zbV9Xo/uRW0WDU2VxzIj0kSNyqOqcVOVJ7qAkJZMHhk9/rs4v/m6Li6uOdUxkDmhJ1fOWYtQWLEti83arsQQJldqT6nfJwVzViqNCfP17fxmQV7OaFfrK9XlOLvlKWQzJpJrCr5bV2oo8baTV39mjMTLLRhqMkJgspY+dV0UcGbZOpfzbH+yw3JF8+LYmBKwLNq3dYYpjrBHE5HvbCxwy+9BQjI2QmMwqFEVOSeQL3ZhcMzmgjSAxEGlBpCHFXuBoe7F4ClpewPLQecIPgs8N49FDOwLw3fvfwuLBH76v1hKPeLJ7gyP79IY2o1gPBMPQJYodEukgUycDeQn+YnjNhgBniD1AGwAAMwJJREFUNKgERCFL1jO3yNPzIh3R3lKmSJGifM3Rsw5/eFuDC4suBLIEdRFYZq6JyOebbFREVZZrXrKJoaIbS2mdx/obLLX/M+AeY651DF454WVRVnUWdj6mYQzkWqJFat0TbZk798eFkYhM/9hzo7KAz9qJSWTYOpvynm/sc/+THsfOebZeJQe23OjTSzTSsm7G3joL5hV235+iEMuQSabqSj/6vXNgJxqGWhBqSLXGpDFECX6QIJSg3XbQtTqHFsJH/vl///J9h//8Zy4NcAC87Qgpefr5eU6cT/jDLzSZaGp+5Fu6vOSKkEbNZxAGxMJA6mQsLLMG5by9qdyTvABBRZYAha7PtbcQlaROHlCKdEx7Z763pzl23uHfv2+SOx8NwK8y9/idgr1L58QUFW/VzGWezBln8/Gak5HAcqTyaj22R06guLSmrL4ogV6pJMz+H03mlGgq06UopYixyRNZAXxelCWzzKOm/Fmd9ZUJbT18kXkgemh4/UuG/PyPt/l375vg+HkPvArIxaWBnmY/Yh8FTgbo6iIgs4IUgb2wygDa/ow2EBsItWCoQacpxAPqTpebr+/xw9/Sp9WED33WZ5huYdPO/aA1h/989NOsA/ii/m485US/+mearzx0guVhAGgeebbPD33rAj/xjh6ek7VGmWLWF0LkLE7psFQBXiSD1mvv0jUpwb4RuKVIUa7m5KLDz/zm/9ved8dJctT3fquqw4SdmQ23t7uX96LCSaCTdCigLE6YIIQtCzBg87AJAvzAJspgI3gfK/mZaMCGh0l+1hMSerIEyEqgLFACxZMu750u797GSd1dVe+Pququ7pndCwonya8+n/lMT+qZ6f7Wr7/1/aUyrru9gIDojk6EWrw7UU6IthoO0TmWlpbKANjJvBSw4r0zPDsLdOu+Rb+FPQHS8mIKyClHTgLmlDWLHT4k/kycDBFr5Gl93FSoNZaaxPycggh9HuIFJzQFVXxcWXiVFZRzOP74nDq4AP72W2Vs3esrZcUMNdsyCNI0iBCERP1sTgBXS4hUJmsdxBY8+W/Q4I6gaYlec4AHcMkULn7rCD7wthADnS4AiuMG6yDFIpzuNQFkhB9evh+AB3IO+ntLnznyiNce+fj6+hm5Wg0SFDvH8/jO9QyLB7bibadGaIaGaiSUwxz07KrBpii2XGgAHVMSa5tRDmKBnBEO5ghsHXbwuW+Wcf0dBQRUt2Aj7WNNAAVus7CMs9iJWvi0TUOz3PSpBaVljUn2SRu8Rj3Jnvf9DFtviWXCGO1Wl40M8BM3ftbT2bptLDmRUlEY7XklyuRrisI08hiiCHAdjneuqcNhwCXfqGDrsJdGjclMJ0LfmP4jahUT6rcIakCerG+o9d+T/w1wXW8wgu48LiXQ4HjraVO4+G0C5UIXdo/kwTng5/Lo7lh9V2XW0s8Awy3HtQXgxy4r48fX3DK5uL+wbnkfe/3omGCUAPtyFNJ1QeBCcEAIFXRgFmTGVhPLK2ef9LQ8qC21cc1bUiHVoCa2Y4dwEMaxc9TB579VxvW3FxDEdeXaAVuZYXthabozMNsa63S7FPdG67YN6lghaQN8aLp2KBQ8Za3RBsjI3rdm3afqqUD3yTGSoNbMkzhyBXbbGSS0tYdkINo6cy7hgOPCc+qIOPDZb3Zi16ibZDjMOBSEOXQ9F0CrKiQWZhJimzR45TALTCQngbmIpIfRSQcTk90Ym/QhpUAuX+GsMnvdxIZbJxcsO2//ADfnqlab+sjSecUTd7nV1zIGLCQUK5dSnLCsgNEJcwJIDF71wVYHUGIRLXlQ825GBJACt1lgpi03ZQKRS/C/biriulu15SZZcKezdIgOYY0XljQJyDc0ZTpJMAY3TQCNDPizXCXFwMk0FWWnA7dlmbOAT4EflnczZbEt2pJRU9LbiGVESRJuLiQ0B5cQljeaCKYLzko4EPjjNXWs2+Liyh+UEAFIKnPONG3VQZSCIKKaX8Pi4gQJ/YK29vp1s3dGCGjRx31rZ+Pfb5FYuagIgMF1JLq6e57oqtY+UiwWZ5himfHed5yHckHwVa9ZKgd6c5jX5+OYpR6WzStifLILjYYPLpgF4AxdiSMLZQuwswtJlexgQM1TlptqcMMhuO3+PK65rYAm1V5J2sZyx9ukRRakkG2Uk2zGTht60kbrRvY91gQ42NEOIikHmm0wJJnesluAN1qx3d8n1e8ns52UZqZa9tV1xyWDEAxSMkhB4HGJd7yhhnNOroNwoTRByQ/gpv6QFMoyR+YGdc/tm/WcUSI9CnS6ErPzHjYM+XhsPcHWXQS79nnIlxfLXSOEL1x+Xtvj29aCA8BZZ5yKoNm4ZmrsueVRc0+xp8JRKobxgUwWjvYp0gUVYwTYCkpCR4jlxEl7MnkK3MwRIA7w83tz+Mw3yli7xVf/lk7Du6HATbTldpEAOhUSa2WRaEITc8KWWBQb4EgD3ZYFU/zcngQHCO6UFGgeow2YNdBbLDcQezCJVkuyujiJFRUtI+pzKKi25PGCU/0C9ZqiMIADCo6Vi0N85RMT+DQDfnlvQXMOMsM/jO1wfJCEvtAzfW+Ok+LfCuTZMAbju5iqS+zcG6DeYFi8qKe6dMXx1+RyuWmPMZ3uhYGBOXLfnme+seo1i0bm9jbQ11NHV6mOQi6A64Zgpnkq5ZbUZ0cYpmnJ9OAW2nJnFpRMgfvGe/L43D+VsXaL1wbclvZNWIxEhnR9k+yC0kiB6fgTiazqoU5HOns+lgPT6mBqWLLuzEPu52mTUm7gJtNgN282ra2TMmgk7pwcl5qw2l+nLbi22HbJiVTAlqp3aIrsi4DgqEUhrvzYBN5yWk0J1WI6y61rQNuWXBh6lciBZhh6El/BhIQUAoGQmOQEY02KkSrBnjGJ7XtD9PYtGvntw099o79/YNpDPa0FB4DFS5YhbI4hxzny7igKuRC+34TnBKCUgwuCiDN1pTIH2T7RJLHerUCXM3JuOMCN9+bxN98q46mNngp9pVlAszS4KUlp3q1Fe2ZYUGafy7xmgNuGfrc6L4mZGvsBN5nmeVstsU94/FK2l05WUclacKSsuMwsNpPkZeNE0mW0tUWX0FWHQQAIkIBj5WCIyz46ASmBX8SWfLo/qz6nrIe+XppJqsWibGSmmhiqWasQEjXKEAQOJpoUe6oSi2bnsXBwGXp7yjMd5ZkBnivMbTpk5MN9/eVrh/c+W5QBRz1SYAQkZpUJPNdDM8hZi55W+2WWELazh7QBN9VeSzgEv7w/h0u+WcbTWyxwqxCbNOc2Jci0x9LVkqC5chrakY4+k23BDbQBuzVZU2oKyTyfBfuBEnLLKqcAbK0606UjbHC3seoyu9C0grF0eG22zooBO/QCND5vVOnjoCZDTWnkQgAIOI4ZDHHlX05ASODm+/PJ5XHaoQ+cQbR1zMyCP1lXSCBqIkfr6O1uquOgk1akpJg9b2G1KciHly4caB4ywMcn94juzqUPPTX09on3//3OYr0RAJKDgEBEAv/tzaO4+IKmlphUfAqk3S4algZuKIvOq2xjuQkTkIzgP3+Tw6e/XsbazbblzsqAdsxJQk3sliOUtJaAyOZcturgbcCbUkosxcR+3jb9yZ9Pf9Ca+jbXTgHAIp8p6y3NglMmoLe1cYkkdDV27ACm5au0+DeJNfHEisfufZqWEyGZsuRUW3abUwQcRy8K8Q//fQJSEtz2QA4cM4GcIEmFT3Sn+Eqrz19DAKGU6HQb+Ojb9+J9b2ogirTkKBiCqIDuRadOeMVFD41VhwVmGDMCnNN5YC4bHtq59cLVrznjzn+98SGXOAyerhp61U8LKOV34Z1nuQhCN9FcTaKCLTnZKorh4Da4qQL3rx728ddfKePZre3AzTKgNq8pamJbbrvsmp2skLXeye9rt5BMdwGL5b+MdTcnr4WqtAH3jMPQFpnCeXpCSKRBjTa3lopYMrHcJgsnjjxUceMk9qSaqsJKQwcECDXlKIyr0frNgcBRC0N89a/G8bEIuPPh6UBOAKLLXREa/1kDcFfndqqrMEFDErzzDTV8/EIByC5IScAoRxRxOKWzw1xJXFjs7hxWkWDTjxkvKAOzHDz05BBOfM3C7SedsHRTT3cenR6wuAIc3QvMKhSxaecs7JsoodbIoRm6iCInWahYZ5dAqmrURN8s9zthAtIhuO1BH3/5DxWsG/KU+51Ox7eNYqKATpCx3tDWG0YVaQW6AS5NAb09F2+npNhBVy388RBGFqTmSWnuZ1RY0tVn1XtIarFpwijUc2lqIoVZZFLrebX4NO/hZpEpTa0V/ZhTyIBg+YIQ//SpcZyzugHGuSLt9mIT+jFE6s9Qfc48AvhMouhIdPkC/UVgsNfHvrE+bN7eh10jXRifysHxS+joPnKT37F0e1hfB0Lyhw5wAGCM4rs/vX2oWp36wJtPXopuL8DcTonBXuCMozws7OnFzuEKJmu+ijTkKjlV2lyuJQZcy4A6tkQ6wB0P+fjEP1awbpsHOa0UaAE+XnAilaWTFO2RrVQkY31T2neGnrSjJrH0mbLq6deAFl/XtOC3rXJWUUlJgnovdlxKqn6htZ/EgtuLTpL6nECWhyMGc9IaxbxGraZXbUAu1WPZJFg+P8TXPjmOs1Y3QLkAQktFEZaqYrlxjAV3COAxiZwj0ZkTmN8p8dxzs3DX7wYwtLOEXSMdGJ/04BReC9+Z+ACp3jBEyLSr2ng4+3vD8UctwNhEFZVSYecNN99/T3XX5tNyrI7usoeeTgelnMRkzap2RSQopZCM64tQqzwY826fY+sIwwOP5XDpd8tYN+RBegTTxpbY0qCem4aaGFd8a7F6C8DtVBQknDxtubPFNUkbWpIFcuKqt2XGAx1pwCuu0srVlb8RsYM7kd1M6LjRw40qotaJ2YVnQl0UVUFcd5wSm4NTlZopEVe3EoKl48L1eSChwIoFIb7xyXF88V8Efvv7HLaOQEchav4tde0Ja52msnNUXmfOkSh4EqUcwWTVwebtDJOdFJ1VApB5mENef0+l47SdJKrBcdt7L+2x/ykA4IrLL8Oa8968r7uzY7KnhIua1V3orngoFYFiXiLvCbiutDqciaQ5q6lbYm07LILjc6zb7uCy71bw9WtK2Lrbg3TZ/sFNE5CbOG9V/sH0srSSGSha7k1FqriClLVNrfeoilS2+kKsyUGsz5l+kCR+TUUlEv2cySg326RlQsW/IzvZrO12z6WdUen80Hi9EYcbyOTqY1+J4lxbq4ATsSZ5hq616v/JExKKZs/q5DjjhCb6Bzie2eBg3yjToZvGRKjzSQiFQ1Uov0slfKb6gfku4LsEnqMmcDMExiY45i5chd7Zg5/avWvbvb19iw7IaOzXgpuxYtlCFAqlhwpe44aSP3LBju3b4LoUvqsycRLrYg6ebbktWkJVOeMNOxx8+V8q+NltBTQEs5w4RiXJOnP060ioSbywJJYcmHLJy9hbacd+JycrU3vDpidm03p/yjtrv7HlZKcfHhBDn0YXl23u0yqM4dyWJTd6NtK0xbyvJUaFIObdRIpYUZFUb0Nbc6hgEkqVl55Sa70pTIqeAI04+jo53vMHNfiuxJe+XcHGHZ5eD9KYm0tJwaXxqKrPmsGlRBBJ1BoC1XqIwUWL0NW77Ibu3iUPTUxMHChs98/BzZjV2wcR7Rs68uhVHxek4yYwD77L4bmq6mxrCTe7tkliuV2PY+N2hkv/uYKf3VFEgzAgl0lYoFlws1ZwQ81OO0owXW4ty7VbF5BAejvBcOuq0Y5TyS460eb9z2fEC0vzOEY1SRQWIxvaj1P7SLyb+oxYBfQzXs4UV2/1eJr2hbF3U9CEm2tOziUDF8ktbDjwBXDh2XV88cPjWDw3AAKunDcy1AtOqWNTkvqHhmJxDgSRRKMp0FkuYMG8zpuOfe3xH9+1Z3hozpy+Fx7gANBRmYcnHn9k64qjVj25YF4virkmfJfrkspW0Z64iGbSQsRhIdxchC3DDF/85wquu72IBqw+Oakk4TbZORa4zWVdyYJpi217LbP5lciCf3+KiW29TUAVIW0NdmofB4p2mbpLll0t6glJWe5YH7e2pb502ovK1htJ7Q/WJLCjDWPFJaPOCEtVMSA3gVnqMdPKigMhHUQBgy+Ai86t4dIPj2NhbxNohICIAKHuhZQIpfL4mxDZpHMxMDYVotw5GyesOv7JZ59+ZOvSxfMPylgcMEUxY/7cAeQ65l3ZQZ9avHnjrndMTNQAYvWOT/WF52AshOOE4ITj/idcfOf6Eq69o0Nn4thyX5KkkNAUmngwLTNrwJ1VSEzQVKyeIM0301WqMha5HbgNjjNMpMVLSTLbh2DNk8oEaF9yxtbGY1qhHT2a/wqdpaPWp1bBTrRa/SRuJak2hUyAFgzIQSGJkvcEKKhe5kJQFQkKqnr6EAHVZ4eCSK4qXkUErsNx0dk1QEh8+2dl/G4d0OTqPEvC0BQOAkkQCRlHFarvFugo96DQveCaY4499sr1G5876ON6UBYcALpmzUd97/XjC4/sff/mHT331hqesqjU9KU0vSmV1fbcECGJ8KObc7jgM7Nwze0lBMwFHBeqEL2+xVbbSdMUA3SNQko0NUGimih2aCkkkK2W2gZtOwsdg5i0AN4Gbgvo24DxkDBOkOIYRrOOwW1NhBR1gWXBM3TFph2t1r0dNVE/xFhxU5w7seZUf4cJ0LKtt653GNMUB5y7iLiLIPRAuYuLzm7ixquG8WdvmkARTSBqAiJAJAQanCDgBFEcuguUiy6OXVa+t9i94P1f/f6t48uXLjxogB+0BQeA7vl/hE3rH6+dcXZ/sP6J6+GgCtcRcB3VE8dlEVwnQCHfRBMBfvTzPL7wvU6MTfmqw0JchD5rte17y/RaAIyTFiyLnZL4kAV1AnZkAZ0BPm0L+ISWpEFL2mylXybTvmjJegma0++1vZUkeYvRAhNZkFjJxwTJotIq4GlNArUv7bWElZRMkhxPYhaixJSJIzpBQeqC9un/QQhTPXSIUP9bKrlUtRyhoLpkM6MReooRLv/QGBwq8aObgGqTQoKhQTw0GEEukggY4IYS+UIJf/DG8wJCae2EVScdClQPDeAAMHf+IkgpHhSNY08e331r3nNCuA6H60TwvSbyfgNbhiPceG8Rl/+wE2PVHOC66cUkMZKRQUJWxsiAm5h8yjTftmO6p40KTIE/sfxZlKa+NvOT4t+SmQTqvSTNz1vAv3+bnoo9ISmDngDbAntLihux9kFIvE8hlFyYtvKJDp4K0ALiUmw2TVEXGF3oU9rHU72iJo8pBWeOiZpKXCgVjVNl3Sv5EF/68wn4jsBN93JsGCYICUWNuchRAhYCnudh9epV9cWLFz1I6UETjXgcMsD9XBlhUP38gqWnyWH6u7/at2dTznEi5HNNdBTqeOgZgS/9oAt3PVFCU/iA56WL8qSu/zOAwAY30lGCidW19FvIGUFuf0VKM9YgtemLeXuyD5KiLATAtBzlIB08+4s9SVtxfSM2uOxUtvTNcPTkppw/LJ405rM2t9e6tolbAbQDCHHUn/mvagJkiofGx1iTJV2fnFNFXTpyIf7HB2tYc0qAL31f4DdrCRqkhAajcMIQcxcsaJz/ptO/5nruF8od+3foTDcOfWoAcL2iEJP/99JccfZVbn5+kHMDlAo1PPisxGe/241bH+5BU5QArwNw8qCOD4e5cBmDxyg8SuBSAke3+7CdELE/ANm4kgTQFEhZ5hi0aAU3rAlgx5+kLhZtJkU7XSTFy633x8+1OdHTDjnD52RmO8Wv07EoLfHi1mdaArRiTm5NGLNyMY4MtJl4lqpilBdhqyymlbhgiLi6hZGDMPIQRB6C0EMQ+miGOdQbBRDkce4qiSs/tA8nHzkC3qii2hRYsWROsGhez1X/fPVtl5Y7ijNGC+5vHLIFN2N4XyngZMkVXd2NYHQEX/7+1Q69/r5e/H5TGSh4oMyBS3W7EKpkPQMQtfK3SnQRtZ06zyRxgmXpCKwFZVabNqeoLTefjq8n57ZtcFWWsaR4eXafAA7CiFvgTB7EfFkRYwvYCReJ6QRshcSy6hZQDTe3F6MwHD6+UiRKiqIbSe1JAtPmG8mEjCdWMkFERlO3PxlXL2MCYeTADXycsKKJr/3lJK69O8DPHx4Us/tnf3n1kQu/MrRrNNjvQdvPOOjFfrsxtOHH6O3yj7753h2P/enfPsbqURGe78BhBB6R8HSfn7jNHCxwCxInmUaSIJTpVCYDQJuapOK9aZK5k2rBTZPXbBd9EjOTuOzVe0jiqk+57on1HLGaTOlJF7v0SbIPvU3ifVqv6SuVHS5As9s6b5TFz1mNvOL3W828TJ0Z8//iDhnS8klkt003O1Waz+5JmpSyTqr+2tlYpl2NMlQ6IkYDOY5KtBKZbYXG3pcJ4XAYR8EPUGs2cN+W8/muqRWv8Z2ppz74zj9+3th83hYcAOpyBfLdpfVOYd5H/uxt3d/5xa8eoZyrg+lQBUjbcsYFXgQQEoAJIJQk7o0eWYpCdo1HrSCd6awpaWdtLWuf5dj2DtNOHisWA+3CYlvpi73yPBDrYTt0YqtoXeHMvbStLTKUA8Z6yzTv1qY3dVWId2iuDNZiE4mungA3OaZpocfsP75WIu68LFTyCxcUnBvPp5E9Db2UuqGvCqOemCqiq/8kceaJR31k3Z7B9b3FvS8ENF8YgB+x7HV48Pfrg/PPPeX7z6zdUjh6sPurT2/YjZLnaIthXbL1CeDaelMhQSKivFcEcZBZivNO872k3Wuk/ZtSlKHdAjTD3VMfz+wzFT+u37Xf3zHDsIGTXUhKc0xI+nmzuIvpCSyNXBJIKayinIZ+yJTaYnZnNqSRC41OTqT2C8jpf3D2eehOaJwijJjO2aVWgVZz7JLmvg5tQDrzMDLR9ckjl5z9fS+3jld6XnfgB3CG8YIAHABWv3YZNgzt4u9/z1s2ds5+dHL86ltKUW0cnktTx8ScCCGU54pEStQPtPWO6QuSpkUp3TW7nTnYiRWXrZYdbSS+jFoy7WNLSTGPYe8HmUmU/UFtRiY10XqcABcpXpzdNv/fqCGwrLyxrLaykngvE69m+3J7yUlrJ42oFxOKkqgxsQETCuAqRyCx4vauJQBKOLoqHZi7+IzJQvepG2vVnbzSs+KFgCSAFxDgANDRkUd1YvKmP1qz6qMlJ/zajb+4o3t0dFLFHAuLokAtdoKI6HtAgiKUQCBV4RfbshDb4miTZisJbY+/3kjRFtIe7Cl50H5vm8Wo/QVZWpR8H2n9LQc6bKePseD2yxm9OyUjplLV0q/Fu46pjnomnkRtfkjrMcvSwwTkKpBQxH14hCQIIwf1posgSqoPm/wALiiCAMgXulDuP3Nfqed1nwga1Zu8/MwZOgc7XlCA9/dUAAD7Rsd/8tY3vt4p5cmV9913R+/TG8YRRhSOQ+LagBIqmCbiQFCjqEYEdZEBtz6SWXUidXklbU4Oafd56+SQDM0gFkCt2ZG14vH7zasZ050Ce9sf02YkBjCtlNhcPAawtTt7omedQxk+bqgLsb8LmeNm75tk/0O6P1N8BYy9xGrhqRbXakdRJBGEDFM1F81QLTTN4tlxBJqBwL5qN1YfecbeuYMnfTaKop90dM55YYBojRcU4GZ0d1UwNVX9wTlnnka52HT5kxsf7XUoRd4jcBjgMKV7SwCREAgmAkw2dDQwtVz4JOs1Uweea66oMk3aX17bWd6U1c4+3+Z9CT0hqc/FIADQQtDt33AA5tuWwdu9FtMWewJI24IboFslIoixlXo/GWeRes7sxDYZ9m+R8XFNJ0YgifUHdNfqdPOCQq6BZigwUSth54gPSKiu2Uy1g89LCcaa6Oqbs3fZESdf0mjwH5TKM9c3OdRxQBk9hzIuu+wy9Cxf+buRqr9XBvJ0Jmv5nEfhOgTFvINyycXsbgfLF3KcdcJuuGQMm7aokxNHD2biUFoiAmFp42Q/N5PDTLKyHEln9VhyoP1Y5TeT+PMklgo1+ClJPUdjFSbJ9LHv2xYganOfAMyqOw6Seg72BCSJwyyb+RM/tmuiExn3K40b/hIJu6t13G4Gdm6tOf5GcuRw3RC5XB2/+C3Fv91awXO7CpiqOggjldRMQBCEFFN1YO6cgX0rjyx+ulF94gez55z8YsHwxQM4ANxyw3V41x9e9Pj8gfK2+f10zbrN+3zfY6iUHHSXGQZ6BI5ZHOCs46Zw8soxbNvDsW7IhzSd0rQr0z7ZMsY8sbJ4MmGzNqgJYlrUHujE0pst7dsCMol1cZIBd7KtJoGVnkYTgKcmAsmkgWVAngJ0u9cNCK3Px0agBegy+T0EGsiw/ptdqz3dsp1Y4LbbradS3GCpIYzD8xq4+UGKL3x3AA+snQUZAA5V+TqUUOQ8AtdposrnTfb0LvxovdHxv489/j0H4/c96PG8XPUHMlavFOLt5+Sv6eub/Re9fQsaBBKVDoZZnQKzugLkcgGm6gyDAxRnraqDiQhoWczoqv9SJWqHUt0ikKTzFiwPnzVa6EkWTNkvsoAVgy0DpkSJSZdJbsfZZxotqkKLRJSlJCSmFSL7GSvTPlFhSEqZSpWPmHaFnrXUiWPIdvQgtU99TByOOx7JY8v2AnI5gkYoMTLBMToRYKLK0QwiLF0y0OgfmPUX9z9VuOaRZ6Ln5YY/kPGicHB7HH38u3D516/mY42uny0ZpNzh3r8xvi03u4ujq9xERz6A60aAVF45ZYpUs1LTy9K0tLBPtimtS6GrlMa6kz5PLZf4dipJu0Td6SYDSV9NUmtM0gLquEnV/sA+g1LSwrtJck+yrnXAkgJ1gJSQcWCUvdjMRiHaQI+poF0JwerAkcSf0FhbJ4RBiCj+TkklGhwYbxA4VAJSgPMGlgwuaXj5We9517n+DZvXTfDFK9/zYsPvxbfgAHDJx9+Fk5eH/IntZ1y/ckXfnx57VG9t3uxR9HZNoKNQh+eGkJQjkgygHgh14TOCEpMo6nICyZkXkEKolCah8/mkVWnDtkoxcNpUs0I74GesN0ir1TZAtwBh7y8tuez/2GR/c9qqk7TikQJqu7Q0Mg2YCey0tHQKHEkvdAlgMuypblKg8mmTJrwEqrMe5wxh5KobdyG5A4dIQIaoRQLDDYrt4wSb9gjkK/Nq1Jv1p6ec+abrb/pP5yUBN/ASWHAzLnj7H+HxB/+PPObEL1y7b8vHHEfmvhM1hiph4MGhHKPjEtf8ugPc9ZF3KDpdAY/qeJWIoBFJyCgAKI+zfThhCCSBK6E6eclpQG4rIrC4s7Xosq03CGakKSncErTSlEM4PtKy5PaVylhgAvO6VYiTWGAnSWdkkgW67cK3LwOWghJPcouexKU+WKRSEalKSVNRgRTN0IMQBA7jAIDQCXHhmQ1cfVeA4brEvqZEXTQxb3nfuF+edfGHL7nn2kbE8ImL/+Slgt1LB3AAOHb1OzH53BXoHiBXIzzCbdYHv7J3x4YeKnZi5wjF2m0dcDwfPZ5E2ZfwHQnOgeoU0F+aQoFWMTRCEYYe4PqQxEcIhpAQeC3IbpUK99cHM6YpyNIXC/lIdpgKpyWxuJZx+rQfM3m7ifWi7e1M0RNYrnqSuNaTHvawAI+4J6VqDW55Sq3vBRJJkGpAM8bhOiHyfoCIczw3wnRcfgGTtRw4p/DcCFxQOCzC8nlNzOkJMTrEsWxuGaccd/RIpcj+mjFc/YEPHP+Sght4iQEOAKV5nwMANOujP6YV13Gqd1/RHLu69wc3czTCAjpzBF15jnJOouABjFLM6onwjjXDWDFvAtf8ysOdvyti7fYSJGEQhCKyUrXUWUruWqS4NrdsZ4dUrIqR5/QOpwvkgrV/i4Gnf1Bm2OELBGlLnbLo1n9LeSZl2tpLTdWgrTiRbegKbItul5ZIa/JUl9hjNILnNPHscwK//n0O19xRxuAcB+86vQgpSmBMoOBH4JzCYRyd5Qbeu2YSP7p5EJ9471l7L3zLKZ8LgujHs3srLzXUABwGgJvh57sgo+q/9i84kzw9OXX5fetu7+Wcodvn6MxLVIoE5QJFZ4eLY5ZFOO3IMubO5jhhxRR+8XATF1/lYKTqAcyBAEs1LSLZWwaYFCQlKWa1aUrSi892wAZaqY9BZBbOLbTF5tkkA3L7vZp+kIwjK86ggeHiJstdeRJtK06kCpOgRFqUJvlcssY0UzKtnvhehPFahEu/14n/+O1sEFrCc3sofM5wzGIXnWWJSkcIIRVVyfkezj/VxYLlp+1d8/rTLhFS/uvhAjdwGAEOAMQp4ulNk9+P/DdE776g+6vX//y+LlLbi0oR6OqgqJRc9HY5KPgEe0dLYA5HXzfHsUumMNjXwMi6IuAnnQ5S9jIDzFTpM0sfT0qvpcGtIiBt622VTo71ZtL6XaTNYyCF8FYQW+DWG2mvI9EJvK1udgkVuEapBrnUXRyEkk8BlY8ptEWnQqre8dRy82cXs4BeaKpE8qE9DE+s70BEOzCnwjCvzFGvAzuGHYScgnMXUqiempXOxVi09PTR5Ses/jTI1I8ImXU4IXZ4AQ4ARy0uoRFEP+nvWb1vdPfuJV35hVc9/vuH3FKBolx0UCoArqsaI0Whg2bgYaBEcf7pdTy8XsRnnFpAhl0AyIpFp22sc9qzmfZUtltYtuCVJIQkRY1SgR3J/41zGjP7iUGfkQhTn7OejuO39WsQaqKaNoDqgQQhJObhVPeQpxY9SVe40stMPbsIUarVf9zjY9ukD9ejyDMVTxJGElM1Dt9TcSZBSLFg8SmhWww/Q4vnbBSi+AvmeDjc47ADHAByniMef/LZmz76vvO8oc0ba3N6/W+ve/YpknMDWsgBniNiiyOkam5cKphPkxS4FQWxFpawrXfGBa+zcYjljo8nADILUFgyobmzgW9Ji7b1nlFVkWmg22UkWtWTtKU3Dh0h1QQ2HhOqKQkgAUp0/0u1P0E0ZUlxcLNYtSRFGAqjtieqBCGnII76IUKosmr1JsdklSCfK4oFS1bKju7FH+sfXPzDvXuHg/65XYcbVup4HO4fYMaxK1egPjkSLJg/8JPBRQuPWnnUsr+bO2c2XBbAczkcRxUVcpnAtr0E/35LHgADISQufG/3vbRbBabc9CSx1nEaG7FS0Yzlt1zxAFpoB7FtdGaR2c56Z0GecOH2Dph2+jeszyT7sOr56ZJnpr63qkNPwIVd8xuIa4AbcIukKH5cls3cwPDu85oY7A3AI4lIqDJrQShRq4fo7OzBnHmDf9c/sPCoYqnvJ5uHRoL+ucsON5zi8bKw4GYsW74CAOp33n7Tuu7Zx1zhyg1e1PA/LxqbmKmS5Tgh9oxK7B71AOaCUQpPO4Mcu9wxsvSEpPh3TEsoiXMy09p3AskZtZCYymjITxNzYu9TtrHQMaBJ5vWWmZH5LPRC1PB2kciGiONNSDwBqCAQBKqsWqYmoZAEglNwqtLNIu4gihz0dzUwq7uB9cMhqqGPeiCAkotlSxfx+Qv6/n71iUuvePqZ7fz4E16YLJwXcrysAG7Gmee+FQ/edyNffepFX5yaHHZ2brnrk+HkPX4xP4JmVMPVtxWwbXcBKLrwKUGeCtXjxUoqbisHamAzHWDFmL43kYDT8QnZ/qmUfAhbjiRp7p6y6vrzGqi6iVnKqdMS+z3NsKV/m7aoOvNWBjyS6D8hiHrNkhCTjsgUEZEgnIJFDhjlqDU9zJndxLvfMIG1G4uohg46e3rwljce17zwraf/Y1/frC/+279fj/f8yR8ebti0HS9LgAPA6lPPR6M+AQL5+flLz6VRfeBkp/ot+sgzOPnaX8ORng+XOSg4EnlH9atyTPa5ATTsxaXJUiegzICbgDEFcCMXmmH3oUyeSwM6RT80wltiXlqALeMPqf2RuG+7EOo3ZmNQ2nF9IE1fRPyEeg+TajEJ63N63ZlqBGtnw3NBIMGS91MBJ+QI6h4uOGUStz4yN3p6e/GBT3347eLUVYsf4EJ+fmxsAp2dL04s9wsxXrYAB4BcPj5wl6x/+jvo7T6zVJP17x69dPiix56r0mYjQIdDUHAlXJYpZg9kHDbGeicW3GEJwJnhNVJpE4ITCMg0J9YqBbUTcgENbKIXusli1b4ipGoEAqpVDYzurGaj6kWJ2EEDWEbcXhcguYIImZTfsOVSoUtKQBLAAQjXlExIMJFw+vg3ScPdaXwjRIBRgnrYhVmzlog//8Njrtuwc9YHd+/+/WRP96rDDY8DGuT57+KlG/f/bj1Kxdyspzbs/Pi1tz2+cnRk7IIt69ajr0LhOgwhNx15dWMjR8JjgOeodhieC7gO0TeVfMEYgcNIzNFVfWqJiAtwLlWzMI22JOEh4e3qKqDrnjCq650kqXkxwEWyb1MDW7NnS6rUE44opUhNPlNDJX11AhQoOQciThBytU9zlaFUfd51JFwGuK6A50h4roTvCnguh+8KuC5XrWao+qDKhqcg4CgVJ9E/ZwFy+coNpVknPenmF3xd8towzR1zuKFwwOMVBXAzHn56GyqVjoUPPvLM155d++wF27c8g73D49gxptrdGTriMQnPUf1e4r4vHoFnAO4SuIyCOQSMUs2BJcJI5QwGoQK5kDYQicXjE4CrG41pjykoZMytECr/NOISkZBqMaiJuCkUxBhR6wgNbCcGuYyfM3mNgAJzGBE0Q4JmAISRrhFOSPx5NaklPBfwXaFunkDOE6pDhxfBdUzxH4lmAGzd6cP1O3HMysWYM2/xDaWeoz4RBVNDbn7J4T71Bz1ekQAHgO07h+E67tJNm7cc/8tf/jIoV/Cln905cszevVMo+A4YBXwG5D2JnEeQ94GcS+B5FJ5L4LkUnkvhOure0aCUEmgGEhPVCLV6hDCS8YKQphanifV3GI231b22vCxZOJqOBUEgEYQc3OoYrPZFU5834FbbUu9TxoA3zqIgIJiqU0xUJRqBgJRqfw4jcHUjJ98FPE/CdyV8TyDvCxR8jpwfIe9H8FwVBstIAOblsGHv6zA4+Jq7Z/d4X+/rX/Q459EGL394PZKHOl7WHHymMXdgFgBsALDh1lt/CAm6ccGy06797cPrlvzyrsfZZD1EZ05ZMKWPUwuQGgAOhe9RZd09ZekYBRoBMFGVmKoJcKmyxRlTIbkEyoJnI/GMNGgoheMgVnVAlPXmnIALgaa+MhhqIkGhuiNQEEpS/NtWgZRVVsm7ispI5Fyg2lBdyJohB6UELiPwPNU7x/xeGmngc62HQ7fuYxHyfgOEeCh0n8Ir3Ss2DMvwQ0cfc+JOIbCOea9YGwjgFQxwe6xZ8z7s2jP6OI/4mnIhP/ecM0+47ns/vau8Y+i5YiOYQClHY6voWFbXdQhyHpD3oaxaTqCY4+iuVMHRwIPPVNBZkMoCukS1EiIy7jAW19vTv8OoNQ4DXCbhuoDnSDCW+N/3jnJMVlUDJkYJHIfAlaqsPCUy7kWZChwjmoNrpchzJDxPIOdylDsC/Ga9wKMbPfR2EORzBHmPqCuEZGCUJVccLhFGitYIATAWoVD00dWzsFrp+4OJIBQX5jsGt598PBtynVc2sM14VQAcAPpnd4ELOTRnoGfbntHq0QEXJ1Epvvf0U89GWzev627Uxkq+a2obKirgOoqbF3ICHQWOciFCd6WBgd4R/HqtxPaJTjhUAdNWYJLKrLCkORJ3OmRM1frPaUqQ8zgqHRHy+RAPrGUYG6OoFKRaG+j2fEQXyxTS0q+tcACTRsaYhOOofZYKAfp6JpHz61g/3IcoYujuEOB5RdLVBFITmVOJIACEVPVpcsXuybmLFuybPbDEYQwf8DuW/6bolMcBKQh52Ti4n/d41QAcUCcUgHhyw47RI5fMuWVk38Tyz1/10+ZTv/qHTz366CPvHRoaCqemqkeEYZiTMlA83QPyPkepEKFSaqKns4rxag0/vqULgQDqIeA5Ro1o0+3MShwgRKs3TFlZ3xMo5NS+5/ZWQd1x7JyoYGRfBwgEOnLQ7n8Nbget+ZGWk4ZCXTkcJpUK4nE4LMT73jiO6x+oYOdkCY7pJm2K7DA1ifPlPJjjNjw//8y8BYvc445b9ZOtj/7F/5y78Ju+65cbIhoTzD18Ya0v1nhVAdyMlUvnAMr3Udu0eQiO41zFGLvqiBUrWLFY/Ha1Vl++Z/dzr4+ae1nBraMjH6GQq6NUaKKrNIVN6wKMTfhwXaJjOZS8l4oAtDJmYhkRGoAxCAXyHkcxH6JUrGO0XkMjKmK8QdDd1ItRpjR8LmT8HSZwLNUzCDAtL3UZZVW4EgB6ysCC3ik8tLaEgiMheATX8VAAQy5fxODgHL5k8YJ7PT+3rlatfYTziDteDgtP+KHMlefXDvf5ejHHqxLg9lg8uBBI7GI0Ojr+QdfzuibG9132+KN3etWJrXx2D1lVLpaPL/mb0Az34evX51BtOOhxdes8zbWN/GgUDCmlDlpS4ISREplU0pwj4XkcvqfiaBiNQCRHMwQaIUE+FPAdgpBLeCJxKsV1WPQ9kGjeUtd4pEy9OYwIOh2Ci9+8Ew8/6aFJBrBwUTe6iuQRnzUfHVw8yM5747lB76yev2k0m6Ol8qvPSs80XvUAz46urgoAjAK4GAB2brkdAE6HbK4p5xZeuHXvvhULBiV6h57DQIkBUR1jUxE8ClQKLjzXBaWqPIJyKglQQiGY0csTtUN1nktaK1IiACkQCYmAA6G+ceOkgQQxXlZHOaocTYdDrX5QylHMBXBZFY3AgeN0QhKBU1+3HJ/90FyMNwaePWJOx3XFgnurlLj7XW8/83Af8sM6/ssBPDsGFp0LAHdLvuduAPd0u9GSC9aMiIcfv1qsOXHu4PIlXZ+786Ft6Mp5cMQwmJzEvnGOal2AOgyUEPiu4rueqyQ/BVBVh88xXaABGNZu3OuRIMrxw6FVD7WQdJlaoHqe4kERj9BoSOwdJViysBP9c+bD98ZQFUsRYPQK4jy2uX/h+fQj755Hx2r5jQBuWTy3+3Af2pfF+C8PcDMImw0At5jHUu4A4Hdu27njgcmAgkReeNTgyr/qKMg37B2NUK1FuOf+RzGybwKux0AZg+O6YDQCo3W4NAQjESgJIHiIiHNwEUIGIRCFCAKgRoQKiJIAIxSdJQ8dxRw6ikBnB0fBj0DdMuYvOg5BRDA8RlHuYLf19Ex8NYi63ADHgfiL7t7YaIyd4L4yHTEv9vj/AJ9mEDIHAMYA3AgAw3t3A8AzDuN9c6pc1OohHn1sHYZHa6CUgTkMQcjD1x636lKXjr8l59ZD15Eo5EIVk51vort3DCe9roJly7tQKShrXfTUfVfZc+f1V36+Y9tTl/qu6+Z8IJeT8PJFLFh0FEAZ+mqE5nxnN4DNSwf6D/chekWMV4ea/zIZzz71GwCkr1nbUXFZTVJKkPMDQBIUchGmmmP48e0dqE2VUfRVXnzRVYvVropPli4aGBdS7j77zFMP91951Yz/B6RGYqmPU4rlAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjEyOjIxKzAwOjAwgrXBgwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMjoyMSswMDowMPPoeT8AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 183290000
{'hecke_orbit_code': 27021872675684859, 'n': 1, 'trace_an': 4}
-
id: 183290001
{'hecke_orbit_code': 27021872675684859, 'n': 2, 'trace_an': 1}
-
id: 183290002
{'hecke_orbit_code': 27021872675684859, 'n': 3, 'trace_an': -2}
-
id: 183290003
{'hecke_orbit_code': 27021872675684859, 'n': 4, 'trace_an': -5}
-
id: 183290004
{'hecke_orbit_code': 27021872675684859, 'n': 5, 'trace_an': 6}
-
id: 183290005
{'hecke_orbit_code': 27021872675684859, 'n': 6, 'trace_an': 1}
-
id: 183290006
{'hecke_orbit_code': 27021872675684859, 'n': 7, 'trace_an': -3}
-
id: 183290007
{'hecke_orbit_code': 27021872675684859, 'n': 8, 'trace_an': -18}
-
id: 183290008
{'hecke_orbit_code': 27021872675684859, 'n': 9, 'trace_an': -2}
-
id: 183290009
{'hecke_orbit_code': 27021872675684859, 'n': 10, 'trace_an': -7}
-
id: 183290010
{'hecke_orbit_code': 27021872675684859, 'n': 11, 'trace_an': -4}
-
id: 183290011
{'hecke_orbit_code': 27021872675684859, 'n': 12, 'trace_an': 10}
-
id: 183290012
{'hecke_orbit_code': 27021872675684859, 'n': 13, 'trace_an': 0}
-
id: 183290013
{'hecke_orbit_code': 27021872675684859, 'n': 14, 'trace_an': -20}
-
id: 183290014
{'hecke_orbit_code': 27021872675684859, 'n': 15, 'trace_an': -3}
-
id: 183290015
{'hecke_orbit_code': 27021872675684859, 'n': 16, 'trace_an': -3}
-
id: 183290016
{'hecke_orbit_code': 27021872675684859, 'n': 17, 'trace_an': -1}
-
id: 183290017
{'hecke_orbit_code': 27021872675684859, 'n': 18, 'trace_an': -2}
-
id: 183290018
{'hecke_orbit_code': 27021872675684859, 'n': 19, 'trace_an': 6}
-
id: 183290019
{'hecke_orbit_code': 27021872675684859, 'n': 20, 'trace_an': 1}
-
id: 183290020
{'hecke_orbit_code': 27021872675684859, 'n': 21, 'trace_an': 6}
-
id: 183290021
{'hecke_orbit_code': 27021872675684859, 'n': 22, 'trace_an': 2}
-
id: 183290022
{'hecke_orbit_code': 27021872675684859, 'n': 23, 'trace_an': -4}
-
id: 183290023
{'hecke_orbit_code': 27021872675684859, 'n': 24, 'trace_an': 9}
-
id: 183290024
{'hecke_orbit_code': 27021872675684859, 'n': 25, 'trace_an': 6}
-
id: 183290025
{'hecke_orbit_code': 27021872675684859, 'n': 26, 'trace_an': 0}
-
id: 183290026
{'hecke_orbit_code': 27021872675684859, 'n': 27, 'trace_an': 4}
-
id: 183290027
{'hecke_orbit_code': 27021872675684859, 'n': 28, 'trace_an': -16}
-
id: 183290028
{'hecke_orbit_code': 27021872675684859, 'n': 29, 'trace_an': -1}
-
id: 183290029
{'hecke_orbit_code': 27021872675684859, 'n': 30, 'trace_an': -7}
-
id: 183290030
{'hecke_orbit_code': 27021872675684859, 'n': 31, 'trace_an': -2}
-
id: 183290031
{'hecke_orbit_code': 27021872675684859, 'n': 32, 'trace_an': 9}
-
id: 183290032
{'hecke_orbit_code': 27021872675684859, 'n': 33, 'trace_an': -4}
-
id: 183290033
{'hecke_orbit_code': 27021872675684859, 'n': 34, 'trace_an': -18}
-
id: 183290034
{'hecke_orbit_code': 27021872675684859, 'n': 35, 'trace_an': 4}
-
id: 183290035
{'hecke_orbit_code': 27021872675684859, 'n': 36, 'trace_an': -5}
-
id: 183290036
{'hecke_orbit_code': 27021872675684859, 'n': 37, 'trace_an': 11}
-
id: 183290037
{'hecke_orbit_code': 27021872675684859, 'n': 38, 'trace_an': -28}
-
id: 183290038
{'hecke_orbit_code': 27021872675684859, 'n': 39, 'trace_an': 0}
-
id: 183290039
{'hecke_orbit_code': 27021872675684859, 'n': 40, 'trace_an': -10}
-
id: 183290040
{'hecke_orbit_code': 27021872675684859, 'n': 41, 'trace_an': 1}
-
id: 183290041
{'hecke_orbit_code': 27021872675684859, 'n': 42, 'trace_an': 10}
-
id: 183290042
{'hecke_orbit_code': 27021872675684859, 'n': 43, 'trace_an': -5}
-
id: 183290043
{'hecke_orbit_code': 27021872675684859, 'n': 44, 'trace_an': 20}
-
id: 183290044
{'hecke_orbit_code': 27021872675684859, 'n': 45, 'trace_an': -3}
-
id: 183290045
{'hecke_orbit_code': 27021872675684859, 'n': 46, 'trace_an': 2}
-
id: 183290046
{'hecke_orbit_code': 27021872675684859, 'n': 47, 'trace_an': 0}
-
id: 183290047
{'hecke_orbit_code': 27021872675684859, 'n': 48, 'trace_an': -3}
-
id: 183290048
{'hecke_orbit_code': 27021872675684859, 'n': 49, 'trace_an': 1}
-
id: 183290049
{'hecke_orbit_code': 27021872675684859, 'n': 50, 'trace_an': -24}
-
id: 183290050
{'hecke_orbit_code': 27021872675684859, 'n': 51, 'trace_an': 2}
-
id: 183290051
{'hecke_orbit_code': 27021872675684859, 'n': 52, 'trace_an': 0}
-
id: 183290052
{'hecke_orbit_code': 27021872675684859, 'n': 53, 'trace_an': 22}
-
id: 183290053
{'hecke_orbit_code': 27021872675684859, 'n': 54, 'trace_an': 1}
-
id: 183290054
{'hecke_orbit_code': 27021872675684859, 'n': 55, 'trace_an': -6}
-
id: 183290055
{'hecke_orbit_code': 27021872675684859, 'n': 56, 'trace_an': 22}
-
id: 183290056
{'hecke_orbit_code': 27021872675684859, 'n': 57, 'trace_an': -12}
-
id: 183290057
{'hecke_orbit_code': 27021872675684859, 'n': 58, 'trace_an': -25}
-
id: 183290058
{'hecke_orbit_code': 27021872675684859, 'n': 59, 'trace_an': -14}
-
id: 183290059
{'hecke_orbit_code': 27021872675684859, 'n': 60, 'trace_an': -2}
-
id: 183290060
{'hecke_orbit_code': 27021872675684859, 'n': 61, 'trace_an': -16}
-
id: 183290061
{'hecke_orbit_code': 27021872675684859, 'n': 62, 'trace_an': 8}
-
id: 183290062
{'hecke_orbit_code': 27021872675684859, 'n': 63, 'trace_an': -3}
-
id: 183290063
{'hecke_orbit_code': 27021872675684859, 'n': 64, 'trace_an': 14}
-
id: 183290064
{'hecke_orbit_code': 27021872675684859, 'n': 65, 'trace_an': 0}
-
id: 183290065
{'hecke_orbit_code': 27021872675684859, 'n': 66, 'trace_an': -4}
-
id: 183290066
{'hecke_orbit_code': 27021872675684859, 'n': 67, 'trace_an': 5}
-
id: 183290067
{'hecke_orbit_code': 27021872675684859, 'n': 68, 'trace_an': -11}
-
id: 183290068
{'hecke_orbit_code': 27021872675684859, 'n': 69, 'trace_an': -4}
-
id: 183290069
{'hecke_orbit_code': 27021872675684859, 'n': 70, 'trace_an': 4}
-
id: 183290070
{'hecke_orbit_code': 27021872675684859, 'n': 71, 'trace_an': 28}
-
id: 183290071
{'hecke_orbit_code': 27021872675684859, 'n': 72, 'trace_an': 9}
-
id: 183290072
{'hecke_orbit_code': 27021872675684859, 'n': 73, 'trace_an': 24}
-
id: 183290073
{'hecke_orbit_code': 27021872675684859, 'n': 74, 'trace_an': 3}
-
id: 183290074
{'hecke_orbit_code': 27021872675684859, 'n': 75, 'trace_an': -3}
-
id: 183290075
{'hecke_orbit_code': 27021872675684859, 'n': 76, 'trace_an': -2}
-
id: 183290076
{'hecke_orbit_code': 27021872675684859, 'n': 77, 'trace_an': 12}
-
id: 183290077
{'hecke_orbit_code': 27021872675684859, 'n': 78, 'trace_an': 0}
-
id: 183290078
{'hecke_orbit_code': 27021872675684859, 'n': 79, 'trace_an': 30}
-
id: 183290079
{'hecke_orbit_code': 27021872675684859, 'n': 80, 'trace_an': 21}
-
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