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mf_newforms • Show schema
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{'Nk2': 208, 'analytic_conductor': 0.415222090510658, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 52, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [52, 12, [27, 41], [6, 11]], 'cm_discs': [-4], 'conrey_index': 7, 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 755947798580, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 4, 2, -1, 2, -4], [1, 1, 13, 6, -1, 12, 0], [1, 1, 52, 12, 1, 12, 0]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': True, 'label': '52.2.l.a', 'level': 52, '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, 13], 'level_radical': 26, 'minimal_twist': '52.2.l.a', 'nf_label': '4.0.144.1', 'prim_orbit_index': 12, 'qexp_display': 'q+(-\\zeta_{12}-\\zeta_{12}^{2}+\\zeta_{12}^{3})q^{2}+2\\zeta_{12}q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d12', 'self_twist_discs': [-4], 'self_twist_type': 1, 'space_label': '52.2.l', 'trace_display': [-2, 0, 6, 0], 'trace_hash': 1853025070042558245, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.922', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '74.977', 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, -1, -1, 1], [0, 0, 0, 0], [0, 2, 0, 0], [2, 1, -1, -2], [0, 0, 0, 0], [0, 0, 0, 0], [-2, 0, 0, -2], [-3, 0, 3, 0], [-2, -3, 1, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 2, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 4, 0], [-4, 1, -4, 0], [3, 0, 0, -3], [0, 0, 0, 0], [4, 4, -2, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [3, 0, -6, -1], [5, 1, -5, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 5, 2, 5], [0, 0, 0, 0], [0, 0, 0, 0], [4, -4, -4, 0], [0, 0, 0, 0], [-5, 8, 8, -5], [0, 0, 0, 0], [0, -6, 0, 6], [7, -6, -1, -1], [0, 0, 0, 0], [0, 0, 0, 0], [-6, -4, 0, 2], [-9, -5, 4, -4], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 3, 6, 3], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 7, 0, -7], [-6, 2, 4, 4], [0, 0, 0, 0], [-6, 0, 0, 4], [7, -4, 0, 2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-3, 3, -7, -10], [0, 0, 0, 0], [0, 0, 0, 0], [5, 6, -5, -12], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 8], [-1, 1, 8, 4], [0, 0, 0, 0], [0, 0, 0, 0], [0, -8, 2, -8], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [6, 6, -6, 0], [8, -5, -5, 8], [5, -7, -5, 14], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [4, 8, 4, -4], [0, 0, -9, 0], [9, 1, 9, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-10, -10, -1, 11], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, -3, -3], [3, 0, -6, -9], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-5, 5, 5, 0], [-7, -7, 7, 0], [0, 0, 0, 0], [2, 6, -2, -12]], 'ap': [[0, -1, -1, 1], [0, 0, 0, 0], [2, 1, -1, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, -3, 2, 3], [-4, 1, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 5, 2, 5], [0, 0, 0, 0], [7, -6, -1, -1], [-9, -5, 4, -4], [0, 0, 0, 0], [0, 0, 0, 0], [7, -4, 0, 2], [0, 0, 0, 0], [5, 6, -5, -12], [0, 0, 0, 0], [0, 0, 0, 0], [8, -5, -5, 8], [0, 0, 0, 0], [0, 0, 0, 0], [0, 3, -3, -3], [-5, 5, 5, 0], [-2, 10, 1, -10], [0, 0, 0, 0], [0, 0, 0, 0], [-7, 0, 0, 7], [-8, -7, 8, 14], [0, 0, 0, 0], [0, 0, 0, 0], [4, 4, 11, -15], [0, 0, 0, 0], [10, -10, -7, 3], [0, 0, 0, 0], [-6, 22, 0, -11], [0, 0, 0, 0], [0, 0, 0, 0], [0, 4, 0, 0], [0, 0, 0, 0], [-10, 0, 20, -9], [0, 0, 0, 0], [-19, 7, 12, 12], [0, -15, -15, 15], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-17, 0, 0, -17], [0, 0, 0, 16], [0, 0, 0, 0], [4, 4, -15, 11], [0, 0, 0, 0], [-2, -16, 1, 16], [0, 0, 0, 0], [20, 0, -20, 0], [0, 0, 0, 0], [9, 14, 9, 0], [-5, 21, 21, -5], [0, 0, 0, 0], [17, 17, -2, -15], [0, 0, 0, 0], [0, 0, 0, 0], [-24, 0, 0, 0], [-11, -25, 25, 11], [0, 0, 0, 0], [16, 0, -32, -9], [0, 0, 0, 0], [0, -23, 23, 23], [-9, 8, 17, -17], [0, 0, 0, 0], [0, 0, 0, 0], [18, -7, -18, 14], [0, 0, 0, 0], [0, 0, 0, 0], [-10, 0, 20, 17], [25, 25, -25, 0], [-19, 20, -1, -1], [-3, 3, -20, -23], [0, 0, 0, 0], [15, 1, -1, -15], [0, 0, 0, 0], [-17, -12, -17, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-27, -27, 27, 0], [17, 21, 4, -4], [10, -10, 19, 29], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [17, -5, -22, 22], [20, 22, 0, -11], [0, 0, 0, 0], [21, -31, -31, 21], [0, 0, 0, 0], [33, -19, -14, -14], [0, 0, 0, 0], [0, 40, 0, -40], [0, 0, 0, 0], [-24, -25, 25, 24], [0, 0, 0, 0], [8, -31, -31, 8], [0, 0, 0, 0], [0, 5, -24, 5], [0, 0, 0, 0], [-35, -18, 17, -17], [-16, 16, 19, 3], [0, 0, 0, 0], [0, 0, 0, 0], [-4, -25, -4, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -44, 0], [0, 0, 0, 0], [-19, -6, 25, 25], [24, 23, -12, -23], [2, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, -10], [-22, -22, -15, 37], [0, 0, 0, 0], [0, 0, 0, 0], [2, -25, 25, -2], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, -18, 0], [-1, -1, 1, 0], [0, 37, 37, -37], [-5, 5, 5, 0], [0, 0, 0, 0], [0, -22, 0, 0], [0, 5, 28, 5], [0, 0, 0, 0], [0, 11, 11, -11], [0, 0, 0, 0], [0, 0, 0, 0], [-54, 10, 27, -10], [0, 0, 0, 0], [-18, -5, -5, -18], [29, 0, -58, 4], [0, 0, 0, 0], [0, 0, 0, 0], [-29, 29, 6, -23], [50, -16, -25, 16], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [23, -23, -20, 3], [-19, 48, 0, -24], [19, 0, 0, -19], [0, 0, 0, 0], [0, 56, 0, 0], [0, 0, 0, 0], [0, 0, 0, 0], [-35, -31, 4, -4], [0, 0, 0, 0], [0, 0, 0, 0], [31, 6, -31, -12]], 'char_orbit_index': 12, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 755947798580, 'hecke_ring_character_values': [[27, [-1, 0, 0, 0]], [41, [0, 1, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 4, 'label': '52.2.l.a', 'level': 52, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 208, 'analytic_conductor': 0.415222090510658, 'char_conductor': 52, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 12, 'char_orbit_label': 'l', 'char_order': 12, 'char_parity': 1, 'char_values': [52, 12, [27, 41], [6, 11]], 'conrey_index': 7, 'cusp_dim': 20, 'dim': 20, 'eis_dim': 16, 'eis_new_dim': 16, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 755947798580, 'hecke_orbit_dims': [4, 16], 'label': '52.2.l', 'level': 52, '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, 13], 'level_radical': 26, 'mf_dim': 36, 'mf_new_dim': 36, 'num_forms': 2, 'prim_orbit_index': 12, 'relative_dim': 5, 'sturm_bound': 14, 'trace_bound': 1, 'trace_display': [-4, 0, -6, 0], 'traces': [20, -4, 0, -6, -6, -14, 0, 2, -2, -6, 0, 0, -8, 8, 0, 6, -12, 6, 0, 14, -28, 0, 0, 10, 0, 26, 0, 12, -4, 42, 0, 36, -20, 10, 0, -6, 10, 0, 0, -64, 20, -28, 0, 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'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 44453
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '52.2.l.a', 'target_level': 52, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 44454
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -4, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '52.2.l.a', 'target_level': 52, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 44455
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '52.2.l.a', 'target_level': 52, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 44456
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '52.2.l.a', 'target_level': 52, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 44457
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 54, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '468.2.cb.d', 'target_level': 468, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 44458
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 54, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '468.2.cb.d', 'target_level': 468, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 44459
{'conductor': 39, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 54, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '468.2.cb.d', 'target_level': 468, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '39.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 44460
{'conductor': 156, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 54, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '468.2.cb.d', 'target_level': 468, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '156.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 44461
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.f.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 44462
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.f.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 44463
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.f.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 44464
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.f.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 44465
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.f.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 44466
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.f.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 44467
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.f.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 44468
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.f.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 44469
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '676.2.l.c', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 44470
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '676.2.l.c', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 44471
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '676.2.l.c', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 44472
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '676.2.l.c', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 44473
{'conductor': 13, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.l.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 44474
{'conductor': 13, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.l.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 44475
{'conductor': 52, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.l.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 44476
{'conductor': 52, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '676.2.l.d', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 44477
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.l.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 44478
{'conductor': 13, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.l.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '13.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 44479
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.l.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 44480
{'conductor': 52, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 12, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '676.2.l.e', 'target_level': 676, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '52.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 44481
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '832.2.bu.d', 'target_level': 832, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 44482
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '832.2.bu.d', 'target_level': 832, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 44483
{'conductor': 104, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '832.2.bu.d', 'target_level': 832, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '104.u', 'twisting_char_orbit': 21, 'weight': 2}
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id: 44484
{'conductor': 104, 'degree': 4, 'multiplicity': 1, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 12, 'source_dim': 4, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '52.2.l.a', 'source_level': 52, 'target_char_orbit': 47, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '832.2.bu.d', 'target_level': 832, 'twist_class_label': '52.2.l.a', 'twist_class_level': 52, 'twisting_char_label': '104.x', 'twisting_char_orbit': 24, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 177650
{'charpoly_factorization': [[[4, 4, 2, 2, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 2}
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id: 177651
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 3}
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id: 177652
{'charpoly_factorization': [[[9, -18, 18, -6, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 5}
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id: 177653
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 7}
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id: 177654
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 11}
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id: 177655
{'charpoly_factorization': [[[169, -52, 3, -4, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 13}
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id: 177656
{'charpoly_factorization': [[[2209, 1128, 239, 24, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 17}
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id: 177657
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 19}
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id: 177658
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 23}
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id: 177659
{'charpoly_factorization': [[[5041, 284, 87, -4, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 29}
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id: 177660
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 31}
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id: 177661
{'charpoly_factorization': [[[3721, -976, 233, -26, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 37}
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id: 177662
{'charpoly_factorization': [[[14641, 3146, 365, 28, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 41}
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id: 177663
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 43}
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id: 177664
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 47}
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id: 177665
{'charpoly_factorization': [[[37, -14, 1], 2]], 'hecke_orbit_code': 755947798580, 'p': 53}
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id: 177666
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 59}
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id: 177667
{'charpoly_factorization': [[[6889, 830, 183, -10, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 61}
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id: 177668
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 67}
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id: 177669
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 71}
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id: 177670
{'charpoly_factorization': [[[529, -506, 242, -22, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 73}
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id: 177671
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 79}
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id: 177672
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 755947798580, 'p': 83}
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id: 177673
{'charpoly_factorization': [[[324, 108, 18, 6, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 89}
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id: 177674
{'charpoly_factorization': [[[2500, 500, 50, 10, 1], 1]], 'hecke_orbit_code': 755947798580, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 12, 'hecke_orbit': 1, 'label': '52.2.l.a', 'level': 52, 'portrait': 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xliLYjTgKWuZDj2CTyBMJoN05r5qZTlbkh3KBglPisDweYpzVJHc/KCouYHbJ6F7RsiNs2N2Dg3ZvPcmO2bDDs3K67e4VNXTY6dbHP/0wGPPpfw5ImYVPX41js6vOUlhrqa47kT0xw763FmIeX8xZiTi4bDFw23XrvIL37fCjvmpji7OM3Cco3ljsdyT9LppfSGmv5IcOj4RQ6fWr360UMXX/bcqYu7j565+Nnbv/lt0b2f/eDXGxJ/pdvfagZfXukwigye4tcefPzIS37xP39MfsttR17yT9502rvY2chSp8Vyp8ZyN7AnpwvLnZSVTsxSJ+XcChxZEmzYsMq//v4lbruiwakLs5xdaHL2oseFJcP5iwmnF1MWegnTsyNeen2fF10FgawTqpALyzXOXfQ4vywYjCFJNLVA06ylzEwlaODE+YRuH3Zt8mnWxxgjQAT0h5qdm8csrXpgrBRZ7cM4AYNhuROxbaNPb6gQyiD0mHbNZ+eWEasDwYmzHqn2mGtLWjVB6EOSCAZjyfllybklw4WVhDAcgZ9w+zV9XnKtYEO7ztJKm1MXQs5ehAsXEy4sJ5xZhiNLhluuucgvf/8Km6fbnDw/y/mLdRZXAi52pD1+vZjVXspqz7DUgzM9weLygN/6J1Hy1pe3v9rc9IO61t73VYn+uRSfsNb+ekPlkre/tQz+4b/4KLfcfCM//c//2a9+4CNf+r/f84EvXr7/5Oru584M5B3Xd9i7VZOmHgYJRlpQId1dgDB4whBKOLtc44FDiuv3LnPVjhGNGvieJPAVQeDRrEsavmTQ9zl4vMbnHw04sTCmm8QcPDVm09wyb3zpCtdf3uOWqzocv5hwcSBohCOOnjV0uk2uu0yyOkrZf1zRang8cwKu2GoYRSmjNMDzYmZacOBUiPJSfJng+TAcS267asBwILn+8pTuMOXE2RZ7NiuajYjVsWHj9ICVfpcPfgkeP5by5LERu7YuccO+LjOzEW+4vcd3vNywd3OLNJ7m2Jkpjpz2OXVec3oh5vRCypEFwcnVmBdcuci//v4em6anOXV+lgtLDRZXA5a6gpWuptOL6fRTOn3Dch/ODySLHc0t+xb5B29clKEyuy+cO7FnOIxfGLb31BvNmS988c6/5A/f9/6vN2TWvf2tZPA/+9BHmJvbqM6fP/Uvjxw79y8efOyoOrMUsTxUnOrDNTsu8O9+fIEXXNbgwtIMS50my52Qla7PctdjpQsr3ZSVbsJyL+FiB06tCLz6iBdfu8x3vjxiz8Ymq/02C8t1FpcDLnYEyx0rEVZ6mu5Q0x0bBqOEuXbMzk0aEIS+4fSCj5AhuzYq9mw1bN044MLKmCcOtbj5CkOjvsLTh2dpNSOiyGduRjMcwdU7R7z/S9Ps25EwHhvmpyRxOqRVC3nm+Ii63+TGKxOePBpxYSlg21zIni2wc3OEUjGnL0LgG4Qw7NqUMNOS9IYh/YFPd+Cz3FUsr8JSR7PcSbnYSTnfgaVRys5tfb7zFRd58VUeNb/NuYttLq7UuLjqsdQVrHY0qxlz9w1LfTjfl5xfTbntygv8+o8tcfnWFosrUyx3anQHU6Te3tSrbf7VK67Y/stnzyykr3j13/l6Q2fN7W8VwJ977jlqtVr97JnTOx974pm3nzt3/lcOHz1NdwidgWFlILjQl5zqpty85wK/+eNL3HBZg8XlaZZWG6z0aix3fVYcyDs9zWovYaWXsNw1XOgIzvYNiD5vuaPDG27TXLalRhQ1WOnUWO0HdHqKlb6gNxCMxoYoMaQpKGkIfaiHhum2YeNsjOePOHIu4qnDITpp8roXRnj+Ko/sn2L3Fvj0gwl3XBey0BlS8xRJGjM7A0ns4/kJS0sNXnpTl0/f12LPFnj40BifBq+9TZOIIU8dSTl2uoYnAzbNeMw0BfVQEAQCJSDREMWGUQS9gWG1r+kNNKsDzVLfMExTdm0f8IYXdXjLSyLQLZZWp1hYrrPUcWTQgdVeSqef5OBeGcC5nmKhm3LLFRd4x48vcvXOOovLMyx3G6x2Q1a6AQvLgubUFmbnNv3Clu1X/9m27dtOjkej4ZVXXvn1hlJ++1sD8HOnD7F503zwzP4jP3jg4OHfefiRx8Xyal/GMfRHmt5Q0xkYVoeCC33FmV7MrZcv8Bs/ssxNl4dcXJ3m4mqT1W7Iai9gpeex2hN0eoZOP2W1l9Dpa1b6hoWe4FxHMzM94Jtv6XH7VQm7NinadZ9ur0boS0ARJVngCoMRIDQzrRGHzhi0ibjz4SbjQZ3LtwW8+PoBsV7l7kenufEKn0Pn+3RW2rzo+gFfeCRk06xh/wnDT765y/7jIZtmJZ9/VPHiqxXLgy5HT81y45URdz81JBk3uP2agL07RgyTPp97REEqOHLao93w8AQMhhJtBKk2xAkgNV6g6fQNzVbMji1jXnL1gG++OWGuWePC8hRLq3VWuvbYrHQFnT50egmdfmJlycCwPJCc7wku9lJeuG+BX/mRRW7YU2NxZZqVboNOr0an79Ppe/SGitHYkJqavuzy683O3Xt/Yseuy967snwxuv7afV9vSAF/SwA+HsdyMBy+8ctf+MzltSD5jQcfesQfjmEcG0ZjzXCU5iDvjWB1IFgYKM50Em6/eoFf+5GL3HyZz2pvisWVFp1+jdVewGrfo9NTdAbQ6xu6g4RuP6XvLpbFvmCxD3E65oYrhmyeTekPDK9/0ZjdmzVJKvGkIYrhridqnFyosWUm4ekjNdANrtquuGmfJqwNeOTQgMWLTa7d3aQ9vcJ9T/rcekWNpcEqKyttNm82PLhf8b2v6vPQfo/tG30u9jusLM9y09UD7ns6ZbY+zbWX91nodHjw2WnqXpNb9hmu3DkC2eeJY4KNszEXFmPufsJnFCukhFQbdm+J+OYXRfT6iq0zmpuugChqsNxpsNwJWe37dAeKTl/S7UN3kNLtp/QGKd2BZnVgWB5KznQFnWHEi69c5Jd/eJlbrrAXx2q3QWcQ0u37dAcW3IOhZDiG/jClP0x4wY23xHPTtZ9+/RvecLhWq39CSk9/vbH1dc9kRqMBaTL8/mOHHvvts2eOzEbDJeqhRAiBkAYMGAPaPYIGDEKkSOnx8KFN/Nwf+Lz5Jct816uW2bMt4vxSmzCoUw8DGqFPs+7Rq0taQ5+ppsdglNIfpmwaa4ZjQ28UsrxY4/QpQ5RozpxPCEMDCAJl8KRgMFQIfJKBxwt2C/ZuNezcNmCc9vjMQ4oDh2d4zc0hN129wvs+YwhEg93bBjx5n2LbtGK+PaCm6kSxz0IPmjWP7ZsEjx+IuOnKOi+/8SJ/+Mkhgd/im15o8MMBX3ww4tMPNHn2WJ3LtjbYvSVlw0zEnvmY63anKKXxlAEMjTBkw3RIFPv0BgFPH/LpjzwGQ0V/JOkPoT8y9Af2u/eGKf2hoTs0rA5hcaC4sGJoTHX4qdcv8nduj7hhT5NzF9t0+nW6/YDe0Kc/9BiMFMORBbeVcZCm8NBDj/g7tm347db0xuUX3nrLP+31Bn/YajX+9wV4PO6D4IfPHL3/1w4/e9esSPr4nkJKCQIMAkxm9BgHbIkUBikMnkwJpOSpw/M8dqjBobMLvPklfV5yzYjpVpvlToNmt0Z7GNB3rNMfSYYjj8HYYzQ2jCJNFBvi2JCk9h4lAUaDVALfE9QCwXRLMNOCzfOa7ZsGzM90+OwjcM9jPlJP8ZqbfV5wVY97n42JRm1e/AJBZzhkYanJ7Vdq5qcH1L2QUaJY7MYoLXjBlR6N1phHD9Z42U1TvOiGHo8eVGCmuPmagB/61mW+8HjE5x9qsv9kjZ0bFJtn68y0Gky1oB6C7xmUtASw/5ggTQVxIogSGMcWgKNxynCsGY01g5FmMNb0h9Adw2JfstCDsR7x6huXeeNLOnzPN2mSpM35pSbdfp3eIKA39OgPFf2Roj+UDEbkx288TokTQ5xqnj14miMnPz27tBr92ze+7uVetzd4V/vrCPKvG8Cj8RJCpj+0cPKeXzt37IsbQzVkbiZgHBnGkUYKiUAghUAIBUIgBCipkcJmET1l8JSm7gsWB3U+8KXtfPGxLndct8r3vXqV6/b0mZtusLTaoDcMGQx9B2xl75FgHEviRJAkdqm3q4QNKj0PagE06prZVsy2jQMS+hw6E/PBu2scPdVkOqxz6zUet1/f5cHnOtx5f5sXXlFj55YB7/+SQImQditmtT9GG1ACNrQHdHsBOqnzxjsW+MCnG+y9UOMNLxwQxUvc/dQccVrjtms28oZbu1yxo8MXHx3w5KkGTxwL2D4rmW0LGqEg8O1FKAUIYdAGtDbEibtYY2OlXqQZRTCMoDcSrIwFyz0Q3ogb963yfd+8ykuvSZlv11npNul0a9ahcazdHykGI8nAMfdgbOXjOEoZR5pxpIkTwziWnF9Z5Y/+7PMb+yN+7S3f8lJz7sLKu7dsmvnfA+DdU/+B1eF2lk9/6gfSuP8bywtPz0u6tBo1lErwlEJJiZIgpUBKJ1eEREkPJVOkFG551vjKEHqGmidYGSmWOzN86K4mDzzd58U3rPJ937TKjXs7zKV1kiRkMKrRH/oMxx5RrIgTSZJKUi3QRiCwq0MYaBq1hDCICPwxZ5bGfPJhyeHTAcdOz6B0yN4tAVfvUdx8VRcVLvLUkRbbphtcexls3rDCcrfNddskiTZ89qGQ8UAy3Ux47W0jPnF3zMnzLfZd7nNudcQzR312bJrhhj2L3Ptkj/ueEYyjgKv2zHLVjpCrtvc4cm6Zw2fgoQMNDh1t0vAEoSdphoaaD27hwxh7sSYpRAlEqaA/FnRHgm4MkU7QZsQtV3T5vm/ucsd1KVtmQ4ajKZY6NXr9kP4oYODkSH+kGI5sgimTJaMotQCPU0tKsWEcGUaxYZxIFs51eO+ffXnjgaMLvzE93Uhg+n3GrIj+CNOq/88L/f6nAvyfveP3aG3/CisHzPek0cn/OOyenlZC0KgFKBkhpUFJg5IKpQxKSZQCJQVKCQt+lYE7xfcEga8JfEPoGxpBynRN0Bv7rHRn+PA9bb70xIhNMwPe/ooOV+0YMRr2uXaPYcdmxTj2SVNFqm2iSGCQUuN7KScuGI6dF6wONR+/t8GZizOYyGemptg657Frs8dl2+DavV20vMg7P9FkeXmKF17lce3eDl98QiASn40zkmYjYRAHSGOTUsoL6IwEF5YF15gGr7i5x1cfrbN1PuCF187y97/1Iu/9dI+HDjbpj3yWVlvs2Vpn35YBt13Z49tf1uPs8jIfvzdkaRBy4pzPmTMBvnKEgC1ZSDXE2pAmmpm5mOuvGTAex1y1Y8xbXzFm45RithUSxzXOLdboDwOGY5/ByGM4VlZrjyXDsWA4FozG2JVgXLD2KDaMY+1WXhglMIwEY+1x9GyHgx97YP6yXRt/60v33/cLwA8ZM7rnfybm/qcB/F/95gf4yTe+TfzQz6u3zdee+YO3vvixxjW7a/QGNTxp8KR2ANco5aGUcmxuLKMriacEnnv0PYHvawIvJfA0Nd9Qjw2NyDBVS5mpCwaRpBc1OXa6yTv+2yzoBJEk3Hz9gD2bI5IEtNEYY5M4UgikEnh+wMGTAfsP12jWPFqBZL4h2DAn2TjrsXWDYteWlH27VknFEv/pI21OnJzmhVf6XLU7ZZj0uP+pkOm6z9yUYboV0ahbKaS1pDNSLPcNS52UTr/OS69d5eH9Aw6cVEy3a9x2zTQ/8sYl/stH4dHDTfpDw2rP48Jym83zDTbOjNg1N+KfvW1Au9HhyWNw8JTE9w1KGYSwgXgWoCcJ7N6c8uLrEtLYJ05CjGkwinzOX7SgHo49RpHK5dswErbMeCwYRVh2LsmRDNxRxtoxjGLBMIJBLOjGkk4Mg2HCpu5TG0ZLKxsG5/fsuf+Bn/zKqQPvNTuu+sH/dQD+b377T9mxeUr95p//yVvOnl5633vuW609caDFb/z4Klduj+gNGigVIlUGcI2nPDzH5p4yeJ7BV9KyticY+YrAl4x9SRiljGNDPdaMY00UGdoJllkSiBLBKJaM05A4rXHgcJMnDkBqDBbaVhv7EgJlaz5aIVy7Bdp1mGpKZlqKuWmPjbOwc/OYLRtWic0y/+kjUxw5OsVNlyku2y7Zu32FLz+TcGFpipv3SGbamlowJJQhRgmSVCKMIUkjVvo1Liz53HRVnRdc2ePeR2tsmhE0ai1uulLzU29Z4j9+VPPMmRarfc1qT7G44jE/3WSmXWemPUW7EbOhGbPrpojQT/C9BKVSpLDBhMFeVHGsWFj0iBNFnCiiWDGO3WMkGceScSQZRZJxJCxgI5HHRPa46oKt4+x9GGXgjgX9WNCJBZ3IEI/GvGDXMv/vjy7wkssusHTBe+eVl79ziNr5kZPPvi/dec0PfOMD/Bf+7QeQfk09fWThrYePnv3DR545Uas1m3z2YQjepfnlH1nlqu0pnpeghhpPpngqwHMa2/M8fE/hRwpfGfxYEniCIBaMfcE4UESxtEFObIiS1LoiSemeQpIa0lSTaqze1uTgtsEreBJ8H0JPUAsFjVDSbCimGpKZKcHG2YRdmwe0mqt85KsRdz81y+rFNtfvVOza4nPFjhGpWOWzDzVo+h4bZhStxoinjmA77ncYBmPFDVfEXL/XcP5cyuJKwHDU4HW39vjKk0MOnVE065IwaHPdZZpf/oEl7npmyCfummepa9i1MWWl4zHdVkw1fVoNn2bdUAs1YaAJvRRPWaklXWulMdiElRYkWpKkgiQRxIkkSgRxLBnH1nmJYkEUG6IIxnFKFGuiEnGME6u1oxJrjxIYOtbuxtAba0j63LRzhV/64SVec4tgpdNm0D1SU7Xgj5Uyf6/WaP/5uUPvSbdc8fe/sQEeKi2HvdXvOnL0zO8+8cyJWjP0iGNBXGvyl/dtIooU3/GKDm97VY/ZdkLPq+OpFM8L8D3t7orA9wh8xza+ZZwoEESxsCcnVsQJRLG0DkJS2H5JqklT6y6kxjklzi0RQiCl1fmeWx3CQFILJc26oN0wTLc0m2bHbJjpkZhVPvQVyXs/PcfGWo3rdwp2bvHZvVWza8sKH7nfsLxc46rNipk2tBoxF45LFlZCgj0wjgUbpiTT03DomGGlqzl/scYVu2u86uYen7ynxlwLwiBAyWmu2yv40Tcs4MsF/vLeGZ49U2NTN2bjdMJUU9GqKxp1ST30CAMIffA8Y0EuQIoSyLEXdqohTQVJigM6xKn1s+PYWX6xs08TTZRoopjckRnHtiJyHAtGsaCfCLqJoBcZRqOYdtjjO1+7yNtfMeBVNwq6/SajKEATMO4erqWGP4iT3Z6QwZ9ieeYbE+Dv/qOPkqb6B+66/+hvHTt6qt2uS6LUWVlG0hNNPvuQ4v6na5xfuchPfnuf2XbMKGjQHST4XoDv+fi+TxRpAl8R+sqCO7apdMs4wjKRY6UkgTiFNLVOgtY24NLaZD2cDtwW4DaAFfieBUgthEZN06onTLcSNkwPmZ9Z5asHIv74zjoHj02ze8pn72bYvjlg+ybYt7PLIOny4P42deWzYUYx3YLp1piZqYQg8BDCXlzDccByN2Z1YOj0ExZWAnZubvGiqxa486EBB8+0aYQxvgoQYoq92xR/95sucsu+Bf74zhYPPj3NUt9jYzthupHQqEnqNUXoC0Jf4vs2VlEKZx9alBtsD6vW5EBPUu1WN2ctJpok1USJLQGIE5OviOMEohjGiWCUWEnSSwTdBIbDFJ2MmKt3+YnvWOL/+e4B9SCk020wHNUYRz5x7BElit7C6XbY9P9TY/qGYP/jH3/v1Te+6RsP4MsrHZSSP/zu9/3Fr507e3quXRfEKajEOGBplJD02nU6Y8Vv/ZnP/iPLvPFlfV7xgi6b5kf0enWG45BxFDD2PcLYIwqsvZcBPI4lUWKX3ThxnnaKs/5wzC1dJtSB2yYpHXODp2zCJPANtUBTryW0agkz7TFb5rtc6Az4nY/7fPbhWZZXmly+QbBzo2DbxoDtGwV7to7wglU+cLfH0VNNrtwkmWlJppopUo45s2gIPYkUYIwgij12bezyECndgWKla7iwXOfK7TW+/RUd/vyLAccvhPhejBA+2jSJE8nNe1bY9d1dPvvogPd/dpZHjjfZNiOYb6Y0aym1QBD6gsC3sYqnsIGzFHlNhsHkmWFtLLC1Jgd5klpJZ310B3AXx0SJBfcwhX4s6SUwjDTJIGL7fJeX37zKm17W53U3azyaLK/UGUcBoyhgFPlEsc84spJytXthbpM/+I3rbnmzGg6676o3/sfUlP8PAfjqapcg8P/+l++659cOHti/sRmCrwSj2C6bglJgJwRdGdIde3zgyyF3Pdnjpn1dvvubbBXc3HTIcBQyGAfEsU+U+ESxlwdKSWK97DjNtKUkTQWpFoXW1oJclRjL3FLgrEiDrzSBrwmDlHqY0KqPmZ/uM4yHfPEpwwe/PMWDT08zE/hct82wZVayaS5g6wbJ9k0Rl21b4cnjQz7+lQ1MKY8NU4J2U9BuxHQGKZ++v0YrsBe2NjAce7zxxWM+9YCtien0NQsrHts3tnjzS/o8eKDH/kMBzTBBSWFBrhuMIqv1/+6rOly5ZYEP3NXlvmenOblSZ3NbMFUzNAJNzdMEPnhKuHxCxuSQlR9pJ9W0Lla4xAHdEgTEqSBOHbBTy9qDRNBPsTFPFNGsD/jO1yzzXd/U5eYrNZtmPQaDFqu9kHEcMo58xpHHOPYsuCOPUawYjQSd557bqNUDv3b9jS/WvV73Pa3W3zzI/0YBfuR0h8u2dTCp/v4nHv/qbz54/z1zo2GHek0ixsZlI209s2VPgycEvhT0paLnNzndDTn7YIMHnurz5zf0eOurhrz2xSPmpgOiccg4sUwQx37uCCSpIkkkiZakaQFwbRxz6yKxYP++zYhad0YT+ClhEFMPI1r1ISlDvvCo5L99aZqnj00h4pDdM4Yt04b5acWG2YDN85KtG2J2bu5yarHH732iSTKus327YLrl0W5CuxEj/IjusMl0yyCEwBiIE8lsqEh0Qi8O6A1SVrqKM4t1rrmsxY992yq/8achJxabeCp2F4ZHktQYRZLNcyE3X97l+sv6PHPiDB/8cp07H5nmbKdOM1S0Amj6hsAz+ArnRjlJVjpfGjDaXnSpFqQGklRY/zwVRKlNEg1Ty9rD1JDECTqOmKsNeN2rV3n7q3vccV3CVN0jihssr9YYRwFRbIloHHn2MVbuuWQUKYaRZLXX5fiX7tp4YVn/5q233pY8+NiZP7rtxjpCzP7tBPhgMOTQyek3HTh47385ceAz7WhsXZBAp2gNmTaQLluohEAJgychUFBTgr4KGCQeC1GNv3ygyd1PD7jt833+0Xf0uHpnl43TinbDI4oDosQnSbwc5BbcklRLtJEYYyWByQNKkEKjXIrf8xLCIMFXEd1hzGI35j98pMaxhRke3T+N0QFzdcHGecP8lGCurZib9tk0J9k8l7Btw4C56RU++5jmkWenuX67YKYlaTUk7YamWY8Q/pgw9PBstYHNMqaS4dhjOIpJtLBVkn3Dctfn/FKb2/f1edE1q3zg8zXqywpPxhaQxiNJA6LY9njOT9e4ZW+fWy7v89DLz3JiUfLHd06zsNrg9FJIoCRNXxBkMkwWK6hNeTqpgmXyxAgSDbEWjFObtIm0gTSBJEaqMVtnhly/y56PW6/WtOuKJGnS6QUW2InT2nEBbCsnM7fLGgVRLDBGcnGpyxfv/uTcjq3j/3LbjXesxHH/43+TmPwbA/iRo4e5bM8m9Xvv+tPLH3tyf7uzMmCmXbdAloIg/0vG6ULjEjsCTxn8xFBTgoZnl8GBHzJMfJaiBnc+MsVXnx3SDMf8vdd32DGXsGvrkNuv7eEJ2yImhJUrNitpa6VtG5sDNwYhDUpYz9yQgEx45pjk4QMen3ywxTMnW0RJg5an2FA3zDYNMw1jffC2x+yUx9y0YPNswtYNQ7ZsWOHup8e885Mb2TLtsaEN7aai3RS0Ggn1cMxXn1OMIg+/aUFljCBKJDVPceOVQx54atoWPg1TVrs+F1dDLlyc4cfecIHTF5d44PEN+BIQMRpIEs9pWUl/6DHTqjHdbvKiKwe8/PoB3/3KRQ6c0nzqwRoPHqjz3NEmifAYjxWDWKFEVvpQDjxdTsBoEm0wWuOLlKkgokbMi27qs2fLiO3zMd/32jH1QNGsWZLp9Cxbx4kFdJLYQDJ2oLYxkspjpSi21mSS2r+/ZV7RqA05efDh9mCld/mLX/F2dfjw4fTyyy//2wPwgweepd1sBU89+cgPzrTMb8m0S6seYpzeVapgUgEW3MIWCClpUCn4UuCnhiA1hErQSAVjD4ap5+41er2U3/zADCaJ2bRhxDU7R8xNJbz1VUN2boyIY+H0toQSc+P0p5QaIQUfvqvOk0eaCM/jxNkGZy40qNUVU6Fgumlo1zTtGrTqgqmGot1SzLQ85qZhfjph09yIbRu7pGaVD3+lzbDf5IrthnZD0WpIWnVNq5bg+xGffaDGeCDxN9pu0UyiNOuK19025J7HNP2xpD9M6Q48Vnse55caXL2nxVvv6PLoMw1OLLdQUgOx08s+cWrdpFEk6Y88Ov2AVr1Bsz7m6u0jXrhvxKmFDsfPreL5KU8c9fjzLzcQSllwT84fNBrQYAxxlLJrU8LbXzVkvp2yb5dh0xykic84apEkPitdt3qmijjxXIDvFTFR/mgv6NgZArGrdkxTkeNjHNU4eLTPLtLfeuihhwdXXLH7vQcOPBtdddU1fzsAfvz4Sc6evXDlwsLZ33n6yUdko2YDPq0N2ti1MNO+QpaCPAduL4VEGfuYCgvy1JBoQSs1RKlgrAXj1GesfRINi/02X35SY0j52IN2ZANGu3uWxXMWmatIFEIilSKJPaT28D1JK4Q9GwxNX9MINY0QGqGgWZe06lYOTbUkM22Ym0rYMDNm64YeKSv8h7+oce9TG9k7BzMNx94NSaue0KhHNBtD6vUGoZIo6TQ4Vg7Esc9oKBiOU3pjVXQt9RQrzYDTF6Z46TVjfuptF/jtP/c4uRoihMaYGJ0a4sS3enbs0x8qWkOPZi2gUa/RCBvUwphWPeLmKyICP+bWKxK+79UDPJW4JJBGCFMV5U7SaS0RQhL6CggYjT2WVjzSNJOCdrVM0uwuSRJJnCqSRFiQp5llW4DaVm3awDV1gaztSrLJpfvvf0hKKX9HMPrKcDh6+m8Cm//dAP/0Jz9GuxXWnzt09C0HDh4SWlubSkpNqg1aO92XOvfERfUqBZVYdk9cptFLiyq4JHVRvXZ+thYk2hBrSLQg1pLYSFLtEeuQ1Nle5VuepRTgCWEzlQpqdUPNM9RUSuhD6EEtMNRDQT2QNOqSRs2zAG8Kplua2XbC3PSYjbN9tm5c4p2f1Lz/zk3smFbMtzTtpqLVUDQb0KintOox55Y0R86F1AJ7MUNW6ScYRR57Nms2z4/ojgKGI+NYXLLa82jVa7Qa03zfqxc4eu48f/DxbXjSw6BJdWqPRWKdiWFki6IGNUlj5FEPfephSqdnY4zAT/G9FN9P8aRtlJDSpvOzoN+Wrlh/y4Jc0NGuylLbuCZNJVorZ8Fa8Kbalh9k99QBOnO0iueZfVs8pqlLOmmbcPJ9xYEDT4vRaPSWLVt3Hfn4xz42fNPf+e9rZP7vBvie7SLodM/9bBot/Gzox1IrRapBSIlMM4BbvZ1Kg0ptxWDqInsvFSTK5Fe0/cLutbOv8veyNLurlLNersgDpbLmBlwmz15gntR4robcV9a29D1jfWNPUAsltUBSDxX1mqJVl7QahqlmynQrYbY9Zn5mwM5NSzz43JgP3LWVmVrIppam3RAW3HVJs6Zp1hJajTEPHoQnDjS4fINxurdImw/Hilv3Ga7YOeShp6cZjI1tzRt6DuQ+jVqdem2a73zZMk88t8AD+zeDUWidWiJIDEls8nqS4dijMTLUa4paoAkDnzBICT2N56X4ni1/UErbLVikPTcIg6DQc0VwLtzxtSDXWjiHygI7e55ktmyagV3k9zRdH9iJy1Gk+aM9pwsX+3KcnPmXq4MgCGuNXwWirxvAzy0NpE4HvzTY/+5/KpLTQbtRYxSRfxEprEyR0iBTkweWUjuAK5tc8FzqOAO29bCz7COWnR3ItcvEFW1shlLmvbLiZqnqLKFjA1phAe4JV25rs39hoKiFinooaNQFrbqh3UiZaiZMt8bMTQ3ZumGFBw4O+aU/3MTJ09NcNq+ZbkC7rmjWFc0aNGsp9VpM4I/ojGyxmK8MUhafLGO9OAlo12MGiWYwtvvzDEYpvYGkU1c0eiG1sMXuzTG//IMd/tX7JPfv34RBoY0mTTVJmrhUurL2WyipjxW1QBIGhjBQhJ7G963f7yljAa5ckO9kihCm2qDrUvvZBZmxelY3nz1Pna1oGT77biK3GzOA5496LajTPMlkqxSPnzkZnO8GP/3rv/h3/b9vOr8gxNRfO53/1wZ4Z7WD1tGvvvejd/1f4fBQrRm0cwkgHLhSab+Y1MKytgN2qg1audepyRlap+5n7iDo3KMFow2pY2szcWcC4E52u8DSShRbU27tsrzc1pOEgR0AVAvtSIZ6aGjWNK1GSrsRM9WKmG0P2bphlQcODPhX753n4MlZds1ah6VVlzQb0rJ33dCopTRqMXEa8SefbyGVwpcGJQqbUJuM6Xz+7mtW+NwjEb0oZOAA3h8qen1FJ/SoBSGh32bfjoRf+aElfvG9gvue3oQ2klTbtHqc2EKzcaQZ12y5axgKar4gDKxkDDyTZ2w9pV3lpl3hRPZYZgh3QIvjLXJ5lQFclwrXssRaqkGnwjG0KIG59FgqnUjdKm+lqX30fQ+THKstnvzSP/H3fIsYDno/V2+0/ucC/NjxY2htXnTi4BP1NKqze6v1epV0CZ3UZdAkKPdllRakDtjapYgrr5Up5Icu2q8s0IWto8hAbagwd3bLAC4FCGnnh8gSe3teVnci8X1p6zcCQS20M08aYUqzbsHdbkZMt4dsmO7w4IEBv/SeWZ45Mc/2GcFcsyRNah7Nmq1fqdcS6mGE7485szSDrwRKamfLFUFmmkqSRLFlxpAkMd24xnBcTBHojST1gaIW+AR+Dd+b4qrtCb/y9xf5+XfDA89udPJAE6eGOEkdk2vGoaYWSUaByiWY74PvZW1+0uYCpHW0LBGYvDBrAuMW3LikkCvYyhJoBRE5TW0c4EtsrUuMnZ3TNCcz915qz72Uwo2Vhq/ed7B+m7zmRf89M8r/WgB/9MHPMduKGp/41BeDmcYI0ajlbolSIIxlh1QLVHYAVFHFprVAS0NqyK9g7TmWrsgQ4wqkSnIkY5RLfDYpiiIq6dreMnAraWdtF/IEaj6EgaZeM9RDq58b9Zh2I2K6OWR+psMjh0b84rtmeOrEBrZOKzY0NVN1QasmadQUjbqgXrMXh031RzywX9AfBdQUefudcMmVjAnjxKNZU9x+bY8Hn2kziK1MGY5TBkNFL1SEgSLwA6efp7l6h+bXf2SBn/l9uG//Rhtsa+2apYsezHEgCQNt2dvVpvju4rZ3nEwpZJx0Ttf6IM+Ou8izn9Y/t0Avr7blYq6crByQ8/NtTF4iYIzBuJ9nscpyR9Lp9zi58Kng9pe8uvEXH/304Nvf/Ib/8QDvLB2nPbt1+uF7//L3GuHwZTMtDUK4hI49JMZpN5VfsfZKVw7o5aVNK2FLWCdZuwRonQPb5MyN0975yRAid2mEEHmRkcoBDspVDPoeBD4EvqYWuAKrMKXu5EWrPmaqNWSm1eXxw2N+8V0zPHF8I5unPTY0NFN1aNYEzbqiUbfbo1j2TqmFCa3GiLufCFjt1JiZKdLkGWCyYC1OFRvnFK9+QZ+7H9a2iybSJZBLar6k5nv4XoDn1ZFSc/UOw6/9yAI/8/uG+w5uJNYecVYBmJqcycNY5tWFgSfxPFeEJQXKy44N+efLLsJMqoisKo0iITR516XHDORal1feQoLkZJUTGTmwTX4+TW4bah0zirsvO3rs+Lu/5zu//cf3Hzy+evW+3f9jAb66co5e9+LP9DtHv0uZRaZaITo1mNKBoCQlspHGxZcXFX2dFUNljkhWAFSA+xLM7cR3tnzl2ltmFXSF7s4qBj2Frc/wDL5vG4trgaYWpNRrCY1aTLM2ptUYMTvV4dHnxvzs78/z+NFNbJz22dhImWoYB27H3jVJPbTsXwsTGmFEosf0ohChJH7G4LkGF47pnEcc+zSDkS0XiGrMZCAfpQwCy+BhIPE9D9/LNqA1XLfb8Bs/foF//rua+w5sItYe41QQpdqxuKAWa0LfEPiCwNNu9bItf8qtaFnPaybpZCl+AVFcmOVYZwLcOQmVwFrIyxKQtXGMX4B/8hxnf8USgeHCxUWEd/S7Hnr48SPjKP75/6EM3u+cpNHetuvhe959/aB3lkZNkKRprr3KwUh2Ii24hQOtKLG0s/jcMjbJBsX/p1pPUj4IOWuXg0pRaH9PuopBiWt5s8AOPJNXD9b81OnmmHptzEx7wFSzxwP7E37unfM8dnQTG6Y8NtRTpmqGlgN3vWbtxAzc9TClFiS0mxH7jxvuerRJICW+sp01ZR2ZLeVxqki0xytujrn8sj5HTtbZ0IBRZOx9nDIYORb2FJ7nux5V611fuwt+/Ucv8vO/r/nKMxsYxXXGqSRKDI3ESpbQx4Lcy1Yvnfe2SpXmK5ySogRwUQI5a/RKAfIS8ZjyqjsB4NLKXGV7U8gdtzSXL5pEGxKjOHriHF+8++Hrf/6f/+iu5w6fPnHl5dv/5gGejE+ggvbu1Qt3//tAXniTJ3rUQt/NEylKU03udIjcMbBXsnBfWFTZu/yltCgAzoRLssYtccw9CW5hkCqzBS0YPOVY2zMEnsb3NaGvCYOEWpBQCyMatTGzUwNWegPueRp+/b9t5snD88w7cE/XDa26oFkTuVdunRdt2TuwAK+HY6I0ZTSsUVP2IpOitPSTXejCBZqe1fLemHFkGMaiBHBNEKQEvofvS9eE7ecAR8ANewS//uMr/OafJtx3YI6znTajpmQ6NbQSQ81NHAh947z/zEkxxcQCJ1UygOef133oMs5zTe5OisnPlamyeb6Cl1bzEqArYC9dJKaEiyzp1+kPOHJ65U1/8en705e/9AX/5OnD545fd/mWv1mAr1w8hfLqL1y5cOAtg9X91MImcaKd/Sfy4HFdgJtChpiKHDGV9yalSBng2SEuq8LsJNhxDxl7F6W4tmrQMrfn2t+CvDzWgjsMHLhn+yyuDPm1P2nw8fs3cLE/w4YpyYaaA3fN6u6GCyzroaQRGsfgVnvXwgiI+NLjAStxwFxIpR4bUV7S7TGLYo926PGqmwY8cDCiF4dMucbeUaQJxrZWPfAswD1lUNK3Y+1cBvKqHZLf/kddPvXAkF99zyZOX5xhOO0xHQhaiaaRQBjb0cuBsgON/CzQlCIPgvNZNKVAvXxhCpH3ihQsnpFPdi7XgL3M7pcAts4SdRRyNu84gsQoHnjsEFu2bHrLxrnGn3R7w+N/owyexD2U17zi4pkv/+PVi08ilYcvdB6YpFpiVJYEKBIDZbmhTRZ9i9J77kIoXeVZgJodwDyoLPG3c9yc317Ul9tA1wFcGTuOwmXvbG9nSuCnBH5CLYgJg5hWfYjnDbj7iZR3f7rNJ+/dSKTbbGwL5mtWllgLMPPJlbsLx9xl9o7xvDFffXaaQeSxpZF9nkkGz2IRW5RU8xUvunpIoi3Ah7Fwoxistz0aaxscem42TGbvucjHIJifFnzXK/u0wrO859ND7nl2jvNxnUFN0k4MTc9YkHsuDlHGxSXGgTw7hqKoHZcgKVh80q0rgzwL+ivkpK30yFbr3GqcAP+kPM0ka+rKMpIUfM/jKw88wwtvuvIfv/WNL32s0x0cmmp/7ZFwXxPgS4un+Te/+wnC2szW7a1nXn7r1nMIv02cprbtTEoXEVuAmxLI82zYRBCZMzaiwmiY4gDZYybWTVHmhVu5NMmycrZiUEnyyVcZc/vK1mKEfkwQxNT8iEZjRBAM+G93erzjjzZyZHEWP6yxuSWYDVPaoaEZQtN12NdDm+2suYSQrV9J3Upg5cnFbko/CgiUIpAmDzCzz28oLvIstR0lPnV/xObpIauDFsNYuHFrNlbw/dTZfMrZnSr3r4vA1VY+vumOPrdes8iv//GI9392A8tJk0Ho0/Qlbc/W4ISerb/PmiG8LOnjVj6ZS5Uiw1nR5BOivAr0rMGZ6mqcGQdU2Vs7EssvAkOe0EtLVmNqFIfPdTDx/S8nOb1VjVYPHT16issu2/HfyeAm5Rd+9PW7n3z2mXc+8uAR2OajVIqt65ZoY1BaOwkiS85JOdgs9LmZCEazGpIieSMmZEn1lh9waZ/LMsDd4CBZYe7UgTwh8KwkCYMxoT/k+IWEP/hUk49+ZY6jF2ZoN3xmazATprRC41LvGbilA7fMk0I1p73DwF447eaYj3zV49CJOjUlbMYwc1AoUF4+Rmlqy0yv2gXfemuPd39mjn7Dox3bgTph5OIGpfE86SZ7UQK5XzpXdlXYOS/5ue8dcP2e0/z+J2c5en6K5aTOwPdoKkHDAT2Qxl44zmXKV7/suGb2IVafFx559QSV4/6KRJlk9Al7Ua95LUpSxpVouJxBoqHmKe669wi7t932zm07Xvf6JFn9mlLleQFuTBdo0Vu6e/t88PjeG3evIoTvGFQjtSnkRx5QZowtKwCvglq4K9plyExx4gtGKFO2qejADNhCFIVcxVQs49rRsgKjxHbueAlhOCbwxvTSiN/5UMB7PrWZM0vTaFVndkoxGximAk3DMXcjT99LV6fipInzznNwBzZ7OY4jDp0O6UchM6FzcbKkU8aA2YVsSjUpsUe76bFne4QKR/SiFsNAUHfz/gInr3wnUbzM9RDqEsGrYsPUgB9704C3vOI87/lUlz/48BwXh02GXo2ap2h4groyhImxbJ41n8iivCHLbk4yOawjV0qYn9TnuTTJgS5yJq/IkywARVQugtT9G19J7vxqgtc8uPeVd9S2v/k1Lzy+0hsx06r99QA+6F5EqGQD+B9S0Rf9VqPh9K7JD6j9INKBOgOzwJjUyY5CfxuKIJQSuAtgiwnNnSUdSgfXVb6pLMUsyuDWKJVagHspnkoJ/JhaEBH4EZ1RxFeflPy3O9t8+CtzjNIWQRAwFwimA00zMDRCQyMowF0LJWEoCZ00sYkh50w4gAe+zXweO2e455EGUewTNs2aADO7FfkAW6UXxQrf93j1rT0+8IU+B083GdbsvJexbwgS8GONH2k7r1EKJyNkMdwnA3jmsWtJI/TYND3kn3/ngKt3jnn/nS0e3j/F4rDJSAX4vkfNE9QlhNLZqJm9WmpKKd+ZBHr2H1MFdnY+y/FUFoTq9ZgckT/XJUbPLxBAIYiFz59++mH/Da+++UPLKysvuLjcW/xrM3ijPSOXLxx54aFn75/ykyatZuKmu5oKQAtQl57r8vvZVVstxcwPhJ5c9EoAF/boyAzoeUpZ5+WeVncbPJVagKs0lyOeF9Ppx9z7tOAPP9PmzkenWO60kPUarbpi2je0A03DNzQCQz3AsbZl7nooqQWKWiCoBbgKPe3ArQl9q7+VN+a503CmU7OJFadvq4mT4mTZPkjhll9JFHlsaguu2DHkqZMJg9h3w3UgiLDgU6mTKFmiBuREZ07uWDkbMk5tffjbXz3ktbet8MXHerzvs20e3t9mqdegIwP6gUegBIEUhBLbwyntLnVZLY8UVrqIUu4hw3aZzSsx1CSTT0jSwjmxAE91lbV1Bnr3/1PCfraZQPDZz31lSgr/hfuu2vcZnmd40PMCPBmcCOtB/3fnG483TTomCFKUTK0HyyRwLRutAXr5d3RJkmQXSH4k1i+oEcLkj+UCfStLtNPcGiXtZwsyN0PGLPYS7n7E49P3tvj4PVMsdJuIWg2/5dP2YMq3nTx1Hyc7oB4Id5eu5NTp7kAQZuydAdxLCIKEWhBhTMyXHg05ca7O/KzAl9rpWFE0+uYoyOo3spJTxXDss2uT4NU3Dfjo/RH92GcYC2q+IUgsi49jU1qlVO5XI2RFpti7LBoVtPXb6+GYt79yyDffusTHvtLjU/c2uPvJFgudBkMRMAw8PF/lkw58KfFdU7gSBoUoScNySn/92yTAc4nisJNmUg1nm7r3UgMp9nXG+GBjgUBCpD0+/cCp5steGf3uyVMnrgaGfy2Af+m+B1Giw/b6EXZsDogjWZUYJXDb9+UaRregLl4XJyE3/dYHdsUSNCWAa2cHaoQDuOelBF5MrRYzGqccPAPHzyo++PkpPvNwm4WVJvg1vLZPQ0lavqHlaeq+oe5Dzbfgrvl2JqEtM5Wlu3A/Nw7kOgd54Nv2tCNnNU8dC8H33TJvSin6igVRnHDnpFg3xY5zvm7PmGu29zlwpsGwJmgkgjA2jBXO2tOOvTM3JbMgC62S++zOitRauekDPqPIp14f8wOvG/PG21f53CN9/uwLDY6frXHgTINoNSQJPUaeh1TSpvMBzz1mTC5dp5TI8hF/JYCLCqA1RSCpKettgyZrPTSlRxgb6I41vrdAPHxs+vLd3/s9i6vm3Rum18fRJQGeRIfFcNj/x//xD/7d/LkLPt/7uhE3XZYilUB5kjS2TaSplhhkCdCyCnAjKj+HLCAR+eP6rG3ygBJKrC3sDg9KpoShnaSapCnnl+DzX/Y4crrOXQ/WObNS58jZJoQhquFR8xRNz9D0tHURfDc437fj2iyIs7t0d+UAjtPcDtx+Suhb9rYXVsSxRdh/vIEvq/ZgLlEo6sHzZTlzUrR0s118rtk15IqNA54+mjBIfFqxbb4OEjsTUJUALqWwnVMlJoeShtUlGZTKvIcyTn3GfkC7HvF3XzPmjuu7nFnp8qWHAo6eCvncow3OLtVIhz5aesSBQkhpVwrh/h4u44mofL81AKeQLWU9naXniwK6zDh3j2T9tRrbp2gQXopUCbddOeK7X7fCoPPQdLf3xp/y1Og9pT/3VwP4r/ze/SRJ+l2f+DLNA0c3c9djQ67ZPeQVt4y4ZnfM1pmIvbs1ykiSSOZjerVWDuCywvCUdXcG9HUZPGOEQo5Yv90gpdXXfpgSp4ajpwRPHVV8/sEGTx8LePZYne44ZByF4Aeotm879BU0PE295AOHXlankZXN2rrw0MmSIFAEgXQXgCm0t5+6oftW59eCGKMjLixLxibE8ySBNHglm22CwHOQp6ba7xglPgKPDbMRUo3oxz4DT1inIy4KxjylKxlImWW+ALJhRxRkk2ZlAW5ujJ+qfPzEYByweSZi56aYmy8bM4yG/L1jHZ4+HvD5B2o8dazG0ZM14kRBqDBSobPG2rw7v5R5K53TIrVvii9eedQZ3Asw69LzROOZlL17IrbNJFy1e8wrbom4dpdmz2Y4cOokfv9DSHlpIbLuT5585DOcONtTv/fBZ8Tpc1OMhebxY02ePDLkzofGTHkxO7eNue6qiNfeMuaVN0VgbI1DvWnBjRGgbeNpJlPIAL/egmZKbC3tPHAhDEJq4sgwGFngHz8t+dM7Qwax4vFnaxw+FXKxHzBOA/ACUD6qrQikoK6goQw1hR1nplzhkbKsHfjCJj3K4PYlgZMlYQBhgHNNbMrc9zSBn7iMaEy9FrGwkvL5+1p0eiEzUyIf5i9LOFjzdbMUda7FJeOxYn5O8drbR3zu4SEnO02GvrQyxQM/Mfhx5lk7j12m1i6kPOtE5n9DG6/0NyzQg1SReorEV8SpRxz71kr1Y5pBzB3XJbzo6jFvfvmI505JntjvM4wU7/98g2PnfRCSwdAjjVRWvonxyqK8TGATX7oiOQwiMQhtMA7k9YZNyAk0r7ppzGtuGXPtvohd21LaSjLbVCRpwGBYY/N0i/7qeXG6e5v66Ce+mLz5ja/+qwE81bB9c/N3NjT7N0wFmsgoOrKOThWLg4DFNObYcp37nkn48y8kzM8kGK256cqIt3/TyFYXJrBhOuXG68Y0a461Tfn6nryJfDhPZyB44kmfpa6t2ntwv88nvlKzM+1ixbnzAVp4xMZHCx88DxF6eFISKEFNGuvxKgiVIVTG1oB7zvP1CuYOsr7MHNzK9WiKnL0DXxMEWYFWmrN3EMQoFfHlxxQfvb+FCjxrt1X096UZPPPCrQ63YxdGI583vnjIx7/a5f1fmqKf1Gg6He5nOjzOkjIm7xYS2TyOvAxNlrR+CeDadcB7lsl9T5F4Hl6SWqCrFKXsIP2ZWsKL9yXcvi/GiDFvfeWAUWzHuf3lV0Ie2h9QDwUXu4onng7oDqRTSYLnDz1t0VWzprnxBRHz0ylpqtGp4e3fNOIFV8QYLdg4rZmZNigUBp8k9ukNfeI4YDSu0R0EHDmX3qCm278jpfmxvxKDn1/ssGm+3X73n/75vgNnYxWnUJMQKcGQACMVaB+tE8Y64XxHc37VziR57qTmE1+2+smkhqmZlBdeH9Gq21rg501RuiVOSsFqX/HwUwHdjkJ6krGWjI1nmUl4dtaE9BDSQ0qJLwU1Zb3cUGoCCYFyYFbFjD4LclE0PHi2ESBrPC6D2zK8K6v1MwZPS/eE0IsxJuLMxYBoXCOckgQu7a1cVV4li1nyi8sJsIxZU62IYp+ZlmLHfEQgRgyTkGEiqHt2CGZWQ5IltJQsl7fK/G/Zv+GCfq2L7KnWpc546SoaU5c3UG7jgYQ4SVFx6jYksNp3+7x2K4bm6p0jIjNEeppOR/DwUx6rA+maXlh/2SqBXDuAv+iGmKlpg3GDgOpSoETmygWkSRE7pNojSe30rFRLfJWyfcMFVZs7u+/6m7+vbfRqV8jp5wf40tIy3U7nN+6+/9Qrz5wbIaXCw9BQ9kOPUw8tFEZ6Vc1ESmI0nWztlYbuiubcXaWl6fluuY4UGCHQ2ZYLuJpToYogR0qUsDP3QmlTzoE0bgsS45qfC8bLwO17tqPebr1HDm7b1mW3RAkDO2YuLJWZZkAPPLsnkO8l+H5MGMacuqj54881wQvwpSgCzFyeiDUMXnYWsiGhFmx2qE4U+3zfa4d87O4hz15o0U99GondlNZWAZqiE0dlOQFyjzo/ltlKoYsSiqI5WOe1MJ6n8FM7L8V3QLeJs9RasMpasDa4125wUIonDMKkzDc03/ISA7mF7L7k8/qH7vNpD50UMVuSSmLnyOl8DJ+9+LMNwzKACyFo+CN8feqV3ZXTv2FM8g+/JoM/8cgXUEoGZnCOVmgYJQYjbAJAYPARxEYQG8+WNkpr62Rjvyg/x5CWNdeab1layoQAimU2C16E20ZQCttAHAibVg6ElQKepPSYNdWWCok8SnNQyPf4ybrqC4DLXLaEgclb2oJAlwbnJPiOvQMvRsqIE+cFi90awvMIJRV5kqfnS0mR7Ehk0qECPOd0RInPXHvMrs1DDpwfM0w9RimEqR1v5ydOhyfkzlKRQleVToUiiyhLDd2lkQ+pxks1qZIoL9u+XOU72dkhQWVga5QoJmPZv61LhkBpmJA7z+v4ZKV8SJHhrtrOMq9vyoBuLc9sAJEF/WCsOHdulYee+3KwXr5nDcBXuvvxFJzp9BnEMl9uUdkAHetVJm4aaZx5rshK8TtUW5DswwTIy5oxr+3OLCg37kGAJ7AJB+FA6z5T9jx/z5F9UQpK3mAbKGHBXgG3tI9BBvQs+CTfnjBwTRKZRPE9q0+DICYh5lNfrXNhsY4/pQjKNRxlB4UJMqukqsVEEKgYje0E2ze8pM9XnxzRTWoMPI96oolcOl3JoiAqKzizQMv+UhZoVus6rMulbTLFlTh7WpAogZdKt4ud2wjMAb0AuCmA7jLJopSbqAAcbL36+pZC0eKYW8bVfElWV5MPUtXSuU4Z6O2/r4cJnneep58V+fSwSwL89//kTlrNxks//Lk7b336ZA9Py6IuATfqOEtQSNuhk7hMZVIy621dgaiw1eSfLp/4LCsmKRIJCgvsbHZHBnYlC42rMmBLu598NgqhDOx8DorC9iOuB/As4Mx0t5fJEuP0drWWPPBjAj/ifEfz6OE6eAGekydeqUApH/Y/gXB7Iov66XzsQpZ1TBVx7HPT5WPmpod0VhoMEkVDgZ/Y76JSNyUsLgMcC/L8D2WkU8ooa5MDRCtNqgW+FqRKkipNqgSJA3lSKl7LyiFk5hBloHbBrhAGidvCsFScVS6UW6fKaALgVACe1zlVAF8U8gH4Xsrl24Zs3Tp362V73/jSf/z9d9y7Yee3XYLBdUwS9b9l3PNv9BNNPZT5rIyMkbV7zDZzshmpojyy6OoQlwR3FeCmKMnEMRIFqMt1EFKQa09ZAnsGcttcnHWqWFmi8u6VAthZ861lb6e5PXK9nVmClrELcPt5dWKMIOaTXwn56tMtZOgRSGHnb+cVhKX5LLlFPJnNLI9GE/mym2rFcORz+7VDvvWOHn/wyRZRGtJPJbXU7pXjyaJaMZcpUjoWL/+pSzE5aM/V8muRgztVEqW0ZXQpkcqUbM8SyCslE1X2lu6cFuC+hH2WA0NULsQc8FpUpmtl72e9AwjQsY8w0GjVbuz1x99ijLl3XQY/fvI001Ot1/7ZRz7/vYPOAjMNkbdElT9PxtAZk5eZqGBskV8Q64IbSpqxqE6TFMBQpZqHvHxTZF07k0DHMTh5G1aFxV03jK+q4LbjFCaY2/VsBq69zfeyhoOkdI+JiPmzL7VJTYjKs5flALPoa8ycjYoGd7sR511OWqKdXWiDTQ+Bz9tfNeBPPjVmVccM0xrDVOAn5CwupUEmIi86s3bhpBaVFNZkqWpPC1LPdbsrB3LPoLSVK6k0SKVJpHSOjSwAXWLxnMEz5hZFsq7I/zwfyItYIct25wqgUuqBrU6t/HtBqhWrFzrMef3v3X3la+5aWTr9uZm57VWAL6yOGafq8mdOdPYeO9dlthWuAXe2pBgmCtqzqy9/bdb8uzK4syeFRCkGzsgJ5suYes2cwfx5Mdsj25NGOXArNTHsxgHbU6JwUnI70Hbc28Zkk29hmDG3V2Lv0I949LDk0NkaRvkoKQmktpJKlCVK8SUnXZTsnjWDZA0QWdInTRVx4rN3a8w1l/W5/7k6sQoYJoKaBD81eImVjUq4LpzE6XAklvvKf7K87IuSNCrm1KRugq+nNKlyF2xqNytQbgR0xt4W6LIE8KJ9MJupIkrntQr2SVzZGoY8600JU7r62YsSj+p3awQX2DB1Zm896FweyP7n1jD44uIqo+GY8ShGChtc5p599kEMFWAXH6Rgcko/ez6AT5Zb5ks6ZYBXA6ncnZCghCi65wV5p0vG5Nm+l+XtvzOAl4f/2G57cmDn2cqcuVO3XbgLLr0YQ8yff6nB0lIdEXoEEvzJC3G9ALPigxctWuU67tyb1oo49piflbzt1T0ePdxmnNYYqIB6arV4Vs6qJA7c2VqhnSfuHC3H4uWOqWKER3aB2QSfp3FSKVuRbPO2yoaoCpknmeyKQYXFizIL1jD5GpKbBLv7fNXPud571UtXStDSYzzW9Pur6KQoLswB/sEPfhylJOcXO2ycyga2r/cBCuapAH0S2OtoE5H/pwTsHOxmDXuXh2eKHOAiZ/EKg6visZArEuVVAR54bgCQn20d6DKcnsHPU/HaPU8rd0/Zzp1nT8CH7mwxlgFKKpe9rM5kmcxgXkp+FpMHCjdFOwZPUo8w9Xjba0b84WcGPHm0Tqx8BlISpNq5RwKZmvxY2cBP5GUP9qbd36ruW1Rm8gLcdrKvpzMpqJFpNmKiGLlsHRVZ0eIZoLNtxAuAU+hxsT7AJ7u5ikrE4rOWk2QVXAmIoia9w6dQxz+GrVcsAXz/4bNctXdL45d//b/uWV5eohEUn2INgHOtbSpsZPJPV3zISXTnbQ3lsgWqbsNkcJYt9RlwciYvjzsojT8oT23yvGyTV6e91QS4s/S9nzUmazszJG8Ry3o6E3ePUX7EoTMevSgA5Tl5YibKY6sX7xoXpaSHzaQX7rpxisSPR9MX7Ns24slDEakOGeqAWmprtj2nwZWwm7WKbCe7HNhZalHnJyLPcLqcnJeP8LDvKTcs02ZMZT4ZOC/ucmOXE1nMX68GmlT0eEFuNjKcZPQMNKYkF8pGRabNJ0FfxmfqbMTZDfN77vjmH2tEgx8cBI2dFuCHj5/j3MLqa2qt+Z9Z7T6F74l8BkblfzQB6EmZUr0a11L4ZJtTBdSUgS2qAC+BuzyWrfKoiiGbsiRLyrsY+wrnhVtwWwAXQ4H8sjwps7dyfZ1BxHJP85//osXSsIYIfStPZBH4ZqMXyt/rUreiX7HoUS0Y3DoqSeLRbnj8xLf3+OKjbZbGAZH0GEpJ4Hooi5EPWdBegMjads5JQTtw61IJc9Ee5rmZglmQnoFdZaDOC8gyFi8ALrKfYbuuJmVK9fyvn+XMV/0KmMuB52RyqPi32oCUA7Zsbv3MuPvkvVE0/FjO4A898gy1MOTgoRPEcUI9DIoWq1JSoqK119PjpatxLbrX0d9rmLvofsk7ukUBmsydsCxeArgqxo+pEqg9KfGcJPFygGeaW+dBpe/pHNy+6+UsOvItuH0VEwQRH/ySzzNH6iB9pJSE2bgKUWIzUerDFGKN1KuAu5zwMVRkSqJty1mS+Fy3d8Cb7ujyh5+pob2QoQwIpciTPkoKYpElmNYyuSgz+YTnnEsVBcrYVUEbOxk4m+2opM19SDdWQpUAXoxfdn/XAT3zw2V+/p23Nzlsv0rk7viUgs11AK4dMZTx5Zkx3ZWTXAgkaWw3hvAAts4H1MKA1UWPC3W7HXT2pyaHspB19FAGtyl0UZaBv8Qta3eTZZBnQJdMAFxU2r6+JsDzgZJiItGTAdzYOdlOiviqcEv80nCgQnNb9vY9O7VqpaP5yy+3uNgJoeZPyJNLSxSEqB6S8so3aduVasS1kyhx4jHTVnzbKwd8/KsjlvohkfIYptLZkw5wbspvvhJWIGPZO3tL52xeAEcZp8OVs4Glc1okpKoU3EtD6v6mEAXoyxo8c5Aqc1VyJ2VCQ5c5cSIQzz3ycgNyafxfeXbO0Pis9Jr4zTZJBvBDhw4zOzuz+/4HHv6pQW+BmSkfIbKUKOSTQrPnGtSk9s6j3Oo5FBNfIv9ylZOfOSdiQnuLvJ4+Cy5FBuiKTBFFh4tjbVUGtir2ovcy5lYl5l7D4Nm4iWLkhKds5vLYccFzJ2poQoS07oknitKBqoMiSq5GsWyVs7sFk4uSPMmm7xa1F0nqgfG4alfE3i0jlg7UMWlgWTy1MsUruTi5k0G50MsJ7qyMFuzrvDnFfRYpcuuwHNsojXMrCrmYZs+1KLG3KUm0cpOyqZz7stmQk2k5V1CJ94q5OeX6nfLEYm0gSQOOHl+iMXPtT+27+iWPnzxx5LgHmjgeb/aUeW086tJu+nYribS0R04+jF6gS1dYtqvZGsdkHRYvA7w8ei0DNUxo7wqDF50r5aH2+aOiYO7cBy/f3ZbWqgzuEsjdfvW+cqzt2Fu5154Xo1TMp+5vcehiHYJCnpTdk3KQnAXPz7ealVfHag1GtrtZqYw28rhsPuINtw946NkGaJ8ktVrcT92Qz7QqlQqAZScksw2llZq5RCnJFemeSwcemd3tsU/dimGBXY6N3AqsCyYvy6RqVWXmslTQsc4KV5Ym5RWvvG1KVm4MSSq5cHGVvVfp145G481RnB73Urc7gDY2YvZ9RZxqu4NXaqd7ihQ3fR9kaWqRnBjYc0l8l/3gdZbuDAjVyaZV3Z3NQSxmgpTkiRIlu9CB2s0nLLbtYC2wvWJAUD7izdMO5ImVJyqm3oi4/6DiY19uMhwF0PDwpMAXVWkyGWBWvut6AM9BXp4JMpHwcQFnnHhMtTze/IoRn/nqgAcPBpimzzANXYVlVpxWZs9CEjIB8mqFiC4uMGXZPJVWj2cAT/PssXAsborzk0uVCYu3BPKKqZAVLgjDJW9rkofFsSpq6O1mZ3GC3YPT7dRXXkk9o1NMmqCEpllXeL7dQTcStm0o+yBpapehYkoVLvv0tW+i9J/CFy0dhNJSmrN4FlhmGrwEbFmSJjJL08tSQKTKZbO2/S0boey5TZg8VQW6n7O1vStlA8wgiIijlM/c1+DZkw3wfYRUedmuyhhTFiy2XhVhxVEps3aWFdZrvXCdl4daLR5FHlfvTHjdS/o8cbzOOAlIpc9QK4KU4rPkRJEJyLUgNxOfBZUBSKOVQGXnWQqMApn55bKwaYtpvu65dheWFEXZhVzrllUMh3UIvEqaJe1dGt6auo2ukgSiWDCO7FiNKDKMooQoihlHMd6BJz+LUop+r8e2TYpRJOgNsQ2rbuprfp1rYa1M15ExmTa9FHNnJzg/0aXhMcJ9w0KaiOqjWAvsigdeKpMtAF5MTs0ligO3nfFncqb28sfiue+CS0/FhEHE0ycEn/tqg8EwgKaPFFnlYLkmZp0sZum7lk5nristulxlYcVNKfamTEsFWFHs02pFvO7FYz5+94gnjobgBYy0JMi0uIY4LbLAQtgVGMeypGWwF8A2xq58uXSRls2zVSVPrjmg5xuMGYHQZbtQOKC7u3YBJ2U5avLz/ryNPxl7Q2mmTiGbMwaPEhiMNYNhwmCY8rkvPMi99z9LmqZ4G1onkUIwHSRMhSmLKyGnFzyG4zKrZkGeyZlHqOwYVVl88mSWau8r2UsmpEhlScuXelGyCJ0GV8WI30nWttOtSs+98nzwbGSwA7e7+9kUWlfg76nE3r0Y349JTMon761zz9N1qHkgbUOzXyrhrZTGlu/lF5c6eRW7VZSay62jkhf5O6CPRz4vv27AG1464JkTNZLExwjFUHj4afF5RFqw+NqPUWXysgWsVMbcls3ta7sVZKbDM6BL57DkuQuny0Ul2C3jqNDjFdK7BIuXjYv1HZQC8KOx5sJyysKK5vjiKp7XxxiDNzW1gBCCJE5ApHRHs8RpizjKWDqTDbazp7AFS0vIugBf3zkpgD4BalF+r2BtkbP2emn60t3tWODlDF66Z8ydMbkqAzvNnRPrmNhHpWICP+bx45IPfakFBCB9hFD4eXLH5MVV1RIDkTOU46kSd4vKyavo8HwJllYqpLZ1z06hVXn63hiPt79qyOfvG/HwETtJINaKQSpcwZe76FLH2pniFuU11rgV2FgWL4PI3ZUDvZbOfs2CYl3KLJtSgJk916VzK0vVopPAzgFeaPRJApjEWJkUwH6GMLDZ6UGacDGK8I3Gx7MAf8eHakghGY8jBv0xNZnSkBGhL1wDqagA02T/+RpLyySgy8vReqAumFzklmBVmhQVhJMgL7bjKJi7GIBfBnqJtUuPXqa/Vaa/E3w/IU4T7nqwzlOH6+D7IG1wGZSswaKcgDWbOFVZs8qfpvQkb4AoZxbL1YWpRCuX3Uw9xpHPtXtHvPyFlsWHqWXxsQgYabs9eh74pZldaFyJRhXkeWkzE2wpwSiDdP64MTYQFUZghDUYMhbPAS6rx0OXwF4twro0Ni51W5spd39HGWqBYH5ac+2+AcpfIfB8pAwAg/fwkxuQUjIaR4yHAza3YefGlJmWJPCkqzEQ+VbUZkJor//BqhcF+ZcSpedVkGdArgC94k6QVw8WjQ+morsLsJv8MWPubF64l4O6mECrvBLAnUQJvJhD5wTv+0yLcexDw3fyhLw1TVUyhyXnpLJUwfMtv2uzwlnnCs+jxT2aoeT7Xzfgk/c0OXjGXnypVgxSZasMU5f8yTKHqRvLkfNhtqZkHnQRbMoSSyqn0aUxGG03qjJSOICLXAZJU2jvwiSYuNiFKD1fhwTFeki6NNyzArzA18y2DTs3+8xP1QnCOkIFYAzqL/7otzZtm5X/dvHs8as2tDTzbTt80vNkxbnImbV0t4CceK/sXbvfsdkvO/KrGDsmnbUnK6+lkhXLL3/MmhlUOYgsB5I4hi4FlhVwF/rbrxRTud0fvDhvZvC9iFRG/OEnGvzJ56YhDEHVUMqjoezMlUCZvDLRz5qcXWtckUldm2EtynonJRalIf5FHCEkSFVuF7PPhdHs2Bxx5qLkkacCEiFBKLRQCGFLaScBJdYwZREAZ0y6pgcgd8xKDD+h3XOnI8s8MiElJmKN8iZjmvLFXbrw9cR7E154xvrZKi4QjCKP1X6NpU6AbL5sczD9+i94zx0+Od3v915f9yNqoZ8XJmWdMTmzltm6dJRE6UlVfxe6u+x5V2XJ2m3r1hRXZVIkt6TK+tuU2Ltg7VyeVMCdbWdiJiRJVimYsXeM78U8d1bygS82QHogLXvnnfvlbqLyCgMTgKLC7EUFW1V/5ye0lHjJEhle1nCr7fgEnSpS5bR46vGdrx7w0bsa7D/tg4wwQjLWPkMnT3JfPnVQTEsOSq7Ds6XfNR24GCvzEVTG5sYm9zK2thrcuEym88dNIUF1xaRwh8BUcwOFk7bWcVvD4OV/Y7I3DLGAYSRJtGA4UmBi6tOD1yNOTnuSmMBLmWnZeXxZwkUJt2+irNp6+d8qg3wdyVIFeGn7C1GOqsWaAK3sJ6sK2KvzRibBXd5VrboBlcmlie9GD3ueG5af+d3Kzj1XTp6kKuET9zbZf6jQ3lJI633nHTQTn7e0FFfKfwtunFhgs+fVBuT1PPGs812nklRmKXwrVa6+fMwbX9rnyAdColSBsMNxBgg3DTYbdSyQDgwVm7AiVzJ+zkBuG7mNzALOknwRpkjxC9DSAl/r9SRKCexlC3GNFr8UloqPXIkHSzUqaQrjyGIrTTVTnRQtYrypVkAS+cxO+Ujp2W3eJv+AEBWNVHFH1vxu8Qmke6McXGb/rhyQrHnMAjiXMasGl+VtAqmCW5YYPL8Xu6xlqfd8ixOp8WQ2NN9OqvX9mKPnFP/1I21G0ncM7pW65rMuonI6vMzUE3R0iVt1+XZuRp6pq24okKXuU12A20558gnThH/4lj5/cVeDI2c9UDFoj1hYFldpdsEVerz4gGWQu/cMqMyflxbs0gXAUhqb3TQ2XZ8FnhlzG3c8tLT/RlecsglyKwG1wuKToF6H2bNHnV8whcuitQX6XE8hfIXXrEHUkMxO2YMWJZo0Le0NX2ZrMfmHqwAXGaCz3y0xePY70mW2sq03Juu+haiydtHkYCrSRLpuk8IirMoUr+Jv6xzUSk24JiobT5bgeRHdSPMHH29zZiEE5TlrUOYDhsq+d/68dJIuFVRdEuiUpEreeFB2UbIUvszveTOEVKSJx7YNY37kTT1+/X0BndgGBMZIxlpZ2zAVOcjLwSaiAHnmgxfpcTu6o3wBKueuyIzNpZUtwlgLWWfnLgO7O58aZxGWk0+VVX2tbJkkzknwl/Mr+ZzHFKLY0B+kdAcpQS3F27oxouFHrFzQrPaBkSQRJt+V2DjbZD0Gz0G+TjRcMfjXA4BYC+7y0paDuwT0omu9LEuKTV8twHUF4Bb8GuWVWDvbJcGxtsq0dxjz/k+GvPPP24y1b+WJULk8yZuK1yuwKh348qTX56PztRWFpWZussIil1HOdrIrp/C13Qq85iX82Fv7PHci4D2fsFocFKmQjLRzU9Lsc5kc2IV4qoqmbFCqAYw0uQY3xjKzMsJJFAf4nL1d4JgRlTGVHIoQtvgjL62tsLhYw96l66+ku6uALzLAECeG4ShhYSVi+mJMRIp3xY5FFutdTp+I6Q1DlKscy6PnNVzNJQE9uYxcEtju31wS2OvKk/XAXXYddAXkBdBTB2w7hiyvM1El/a3srMHlFfiLLzZYGWfgtgD3Jdb7FpPypBwIi/y7rfHASwevrLUnQV6p6ivtDF3p9NEy1+JKK7QbSDkVpLzlmwZ89N4GSz0FMgatiPEYCZHXqUxejBWBm39Gy+Q5g0u7fUmmy42xxzy7KLUU+XkzxgJRClvHIoTJ0yZZdaMxZYfHEWRlJ721WGKd4ykmjqfWtrVupac5spCymCR4F5YUixclF5Ylg7GledySYjD5/309abLmiiudXMqgLgFdToK91GpVAL7klohSm5Qsae5sfLCaCDAzhpYFuFUpa6lUWmLtEns3Ej755RoPPlVHl7S3krJUWFWtN7kkYEp3MXHsJjiIPCtcYvFyCa0uAT9P/BiJKvniSerj6YQXXRfxrbcN+ONPBaAiEBIjBGPtoYQLOnFSRVRBnX8WCtGSBXDK/UQae4GX2TyXJJJsJHzB6A4+WhSNGGIC7NljQYr2Hz5fzHeppJCSdifqjTMem2cNUzMa732fbdBZGXP+pGbzXIrvW09aULDSpa6e9RibdUCdAdteOBmwS50nsgoYWWFvU2LwdVi8FFiWwZ1tJ6hUob2VSp1EcSCXCUrawe9HTkre98kW53uB3e9a2kHvdmcvs6ahYfJCrQRRl2DvyVsl0VNioskNc/NNdrV2m1dZJleulFZJu/3JpmbKD3xrn3ufCjlyQYKIAYVGMhIy30QqY0wyyTIB8uzDFbP+nJXoxLeRpSrILBh1ILeAdqW0pgCxydw4UW7EKOrVs+OHMLkFWGFwd6CK56KCQSHsDJxmXbF7i+AlLxqycUMX7/SKpLMsWFqOmWoGSOnlWcPsJJbPk7kEc1MC8fPrbjPB3BOy5BLaO+vklvnoYPueJ7V7z1TAXQ0o3aPUVnfLFE9aaRIEMeNU83sfbHPPo3Xb2yY9q72ldF07FPNHSl3kawLMCSaf9HPLWF+bwSyqDIv928uls6aoU9G23SzbMiZNNYn0UInHy2+O+NG3d/ml3wsYJ9JmoLQkca5KUeknnpfJKb1rsLqbjKkzdpcUcYOTHpkHbsSkdCm3tJWck4oGL+lyYRCmAFrO6LrAWJn1s/NTD2HzXMrm+ZT5uQTv6s0+Fz0PvaxKfY4uOyQKt2Pi+l43ol03qARbcCMK90ROgj1j9JJjkrF8weJlaZJJFV1h77Xg1u79khWYgdwxuB8kfOlhn4/e02Ac+VD3rPaWKmfvfPbhxMlZz/4qr3CCIthej77LJl0+3KYCbhsPFRqzqsWllqgS0JPEo95IeMvLh9x5z5DPP6ysbShs10IsPIaIQqaYyW6f4kxnrolwFx+y0OXG6XKDAzaWtZWrUxFZngAXr4oyuC34i+NW7tksK4CSVKF8XEtUWz4PuAGmKSx3A46dmWV5MIu3dV4R4LEyE9Coe/lIs7x4/xLL66TuLgM8ey4nPOL1gJ2VVpY7tLMUtQW3rmjvSbAX4Hag9gpLsJAmuiRZnPaWdkrsat/wyXsbHDxXs9JE2JJYkSd2KG2IWpUqle9UYpNq8Pb8t2zeHqWa8GpKutguvVJpWCqjlUIhU42UHvHYY9/mmG+9o8+D+wM6kbQnEqvHIxSSkm2YM3hVntjl2L7Odm3Ikz+y5PSIzCMHhLEaXNjYIdPoWZApZQncVDGWs7mTCJlsycnUlIA9gUMtTT5q2SAYRYqZhZBBXMOrhx6thu3artWKvcrLrPN8TQ3ra2+zDstVAZ8VKVUYO5MrqixVqrpbiiKwlNJmKmUG7jLQVbEzQfkxA7fvJWhS/uhTdd75kRZGeNb3ds5Jtquul68wpRMyceFWmDsD+QTzrMfelaFKMKG/MyYvt7JllqF0tqFN3WupnSa3WwRKpfmxNw84fNbnnR/1iBNXY6AlGsFYSJSeKOEVa5k8a8rIPp/KAI3dVjvLYpbZXApyEGfaPTtuRhcsbi0+4wLRiT5OY/IgFVE02awlB/deav9dkmri1MYqvYEhqIPXCDVJXTM7Bb5viq9YOrCTtlYlwq1IEjPxeh1gl7V2aTnLNW1JkkhRlSSy4pzokiwpgK2yGd3ZJrEZuHNpkqBkjB/EHD4v+ehdTfp9H+qqYO+yc1JuSxPVBM+lJFn2xtdK8mTHs9L0kIO9NEJYukcnWSpdP9lkWmm1uJR2pmGrmfLmVwz4zFfqHD7nNCeWzVMtGCFyJpd6fSa3NqFAlT6ckdmq44JNUfr8MvO7nbR13TzGBY6ZaWGc9JBSOIBn45ad25ITpv2fVxbDMim4KQ/272fiPCVNErr9mLAe422YUwRK0rmY2lJI4zqVsx14tcmnn65hpAzUpRNczepNBBWyLE9K9RxlJpdWlpS1dyFLsu3zzCXBncuR3CnRE9LEFliNY82dDzT54mN1CJULLL017F1IE1G6KN0Sy4RzMqHB/3/dSuiulM6WnBQzCWrH4pkeT4VEpgopFPFY8U03RnzTi4ac+rTPWNtqQ7RV4InwGBmQegI5+ad3ryVkoxQyFrfvOckiXLCpC5BL6fz7EpvL3P8mr5s3erLj3l0gZcKEvAeh+BRF5lJrQ6LtFAjtKhDHUcogkowTD2/jpm2r6OFnZqfl3zE6RhtJFEuiWBDFEpMIp8mKLp5J/V25MyFRSj73uo5JFmDmAC/5zarM4s5BEaYAeaavZeZ76wlgV+tMpLSdOjJIuPvhgHe8d4rUeOD5rmLQQ0iJL4qiKiUmGdxULtjKBcw6QH8epE+OvivLFJ374c4bx62mWaApqiDXWqKFItUaqT2SxO4v9LM/2OXgaY+7H5LooGBxo60erwTDFaCXQC5wAabJL0ApS5LFafZsBo+VJcZ54yXWdqwsMwkiRAUba3BkRG4LClGdXmyMHWuSpJooNkSJIU6wg0OVT6PR+szuXTtW1VvfMNNPxueP1GvJj9b8EWFgg7piPl61sbgsNcozMcrpdSWdzViqG6lUAGayQ5XS76oIHi2YSyn4slOSpd6VWRfcspSKLyd3yr2Wp5cF73jfFPc+1rSb8sggB7gnBXWJ21CqWh67/t01ZuRDcqp36WrepSq/xl3QmWuUHU+RX/iqLNtK5cMif9/k7lR5fFqxShqEMczPJYSe4cEnA1aHk0GD1eQIke+wISpL0OTVKaorlKleCpkns/Ym1nkpCrBmLGAu9W+K5xXnyRjiFEZuo+DeCHojg1AhJ85c/IF7H3z2oLdt44q9qk0EeoA2ipVugxNxi+5A5cU+ZTaqRMHrXIFl+VF1Tcpz7MrJntIgx5JLMvm6YO7qvjHKbWsns+rA/NFlKmVRDpsGKe/7+BQf+3ITU8t0t5UnOXtXtHdVf1fdk3K9TWYDPC8u1p5HlwLPGd0wEXBmYyVwQ3mcXShFXnm4xllxUiUVHnKY8pZXDnn2qM9vvMsjCpOSZSHQxmes3RcqBwFpKclTSgYZbG0LUDC2k6ZIg9RUZUsuPcjHSRhdGAxCCLvTcS5xy7pc5PjIK6LyOEfk5yZK4PSKZLEvGKcwNVY0anbGudesdZFSMYqGXFjp8KkHmjT9mLlGnd7A1vtmICbT2JRkhyyf+Gp2srytRVGcNJEoEdl2GJOTS0vp+Mr+MBPgVpkUsaCWFZni9nfMa05SPv9QyHs/3WSUuin4Mrtb7Z3t5lbJopaAvl65wZqlNbuLKpDXuxWZzJLCNCWwO0AbWdqISZbmp8iSNy4MMnVSRWiEkyuhr/nBN/S574mAzz8mHWNm9qEgxSMyNujMfXFZArmY0ODCXpTKATzT5FkQmgHSCNe/KdxF4KRJniGvkGP2nsmBnl3t2l0YlLOgCJQPnucRpTEvu2URP4z4y/tChsk88ViASfH+8ydq1EM4esrj3ienGIxCds3CC3YrZqegFmatYtmwxVLtSKXov3ryi23loOySZO8pWXZRyoPVC5Arlb2nqwxe0eBFIFnZtFTa3XmldCl5L2Ywhl999xRHz4QYrxpYCiHws+ByMjUvJ5l7HTDnEJ6IMisor4K80go26YFT7Idkd3IvTYGtZDkFWki7e5rU+b6SWiq7q7H2kJHmsm0xv/BDHe776ZDeyH0BndMViVSMdLYSlUCuTSXQzL6GcT83usTmIgs0yQFZAXlWauvswtxxyUmwaIwwouhGksbk83Gzi8G2AkpqoWLvDsEL9tXZtiHme17Z4YljKacv1gl9jffU4avxfcXSUg8zXGRbSzAVCIZjQSPWKCVznZjLk4yNS61kRaZy0iUpVd5lweTzsHY1PV9sWVfIkhLgyy5J5nPLgrk9B27Pi0lS+C8fbvHYgZr1vF06Hml3UJ5k7zy4xKyt9y4xdPWeLavr9fFQAGcdGq/WpWTTnMxaqbJeQ4SxXT9SS7TQpEIitEQK1+ImPKTW3HRVzE98R4d//8FpojRjcZFrjUQrRu5z5zXj2eeVphi+I1yteMbSGZtnCSBdArorLTTg5EtBEsZhAyHcCPOsKboIeCWuS8hZkBkGpbSbi4W+oBZ4dHvTLKoa7caQO66fR/ktjEnxfvpHv42pdpMHHn6SP/2zv2S6HdKoSeqhWE9KOvegAOqk1Zdr7LIcmdDeVdZeD+CmytQlsBdMrSeYOwsyC4tQZtWCtZQvPFDjPR9u0Rn6EGTa27fau8TeazZYXef7XSo9jygfMzHB7GVNUg2WJn9sci1c1uBOmpiSNMkSP9K2j6XabQxljJMsCim1rVdJFO2a5offOuCRZ0LuvF9BI3HM7O5SkGjJiEwiFLYceTIIe2BKzJ39LE/KZmDX2bWT+eEluVI6dsZJj+L9gs3zUt2JFa64DGE4Fiyu+IzGCl8JbrjllWzZeT3RuI/Xbnq0Gj7TLY8NM4pW0yPwJGGgXGd9cZLL1l55V4GctUsR/GQQuTa4LALJwjkoA399cCupXZd5CeDlZE7G5rk0SThw3OO/fqjF4Yu+1VuikCbrs/cl0vGX1NvVpE7JJFh7y1b6yVqUciVhlj3MGZu8AUWvw+JZMkhmhVnCIIRES1tSa1cWDxkb9s4m/MO39Th+3uPQGYHxSgAXYPBJjGRoMllC4Y2IUkBcYu7y62wEOboEdgqb0GR6unQoJCCy6a4OZ5bNhZue5VKmWSY0r8sxJIlhFNnVaBwJBD57RyGJDoiSGC8MFL6vmGp6bN0QoDwfIewGToHDg5xgtnLz77pbWeTB4zrgFrpg9wpjl6SL1HnloBS6FGTqytbSSk6wtnNKpEyQMiYIY853BL/6rjYf/VID4xeOiQW3QggK9i553qrymUvOESVwF2ZEVXKLCZBPgN1MvjBrX+dau/Qrtr6j1NaWp/ALbzx1s0tkpsVFKehMNb7UvPmVQzpjyc/8tuTCqoDQIdH2lmG0T4yTDbrE5C6BA9bGzIu/dcbYWVmtydk4Twplr/PcfdWxzAJMIy2occdfQ67/hXQ7NQuBFnb6sYjtwUsSQV8IRiPo9O0o5XEskLVQ0aiH59st+bk9O+eoB1ALJGFAvt1ePjlKrdd8UPa6s47zArCVpgTnY6/flTPBzOUMpfoa4M72Ty85J76XEKH5xFfrfOGhRlFrIp3ulh4IiSes511066w3zJ71+y6zE5Ot0hkDlQlblAEs1oJ5ksErzC0KPVuuD3esbcqJH5PVjBdFWFpLtFF5taGtOFRILXnNbUPe+JIhgUjtiFaTgHZ3k2CMIdIwMhBpQawFsRt6meRzud0YY0M+S95uh1j+OZU58/Z3jbuXa22yiV5uY1qdZSrt6mX/ffa+zV4mqSZOUsaRZhRpuv0YVJvh2HxOKf98qgXq3/32f+D2F71wdTTWq/1B/D0rKxephYpA2a6tbJ52NnO7vF1HBdiTwFfrXQRZZrLamVOAXqPWyBLzNcGdMXdWAut5ManUfPyeOv/mnVMcOxe6JgbPJnWUGwWRJ3XsIJ/s+2XlsRnoizKBYreJfHScKM1LFOWpt9nA/upM82wMXbZzhSivhuu8XtPxJCZWldzpyYLhiawgJrfecqY0MNtOufrymFMLikMnPbtNXyWosM+108Z54JcHFeUreWKJqv7ipVew/HoXlffzxzVar/R7pmypZhnWlGuv3s3WTVP/9+lTRx940YvusHv0xKmBROdbxVlp4ia1Vmqwy97wRHKmEjxOnBBpKq/FZIA5qblF4ZYUj2XdnTrponOfO9fcMsH3U45dlLznI00OHgmhWZYmMrcFPae9K0N81gkoC19/QpqU5ApZmexf85bVnmQjnapD3wtpUu68lxNdP6kQCOOCzOw9KRFGuYE9rkFCaJKx5qrLEn7wzT0eeirg+GIJ3FLkjQVGKmItSlahEyzCeR6i0OeZbWjK+M5z7YUmzyxDo7OgM5M0orASyVwXq7+NJF/iKsdGZgOJ7A7McawZRynjse299ABuvOEqwrBGq24Ydk4Q+trmQGRx8itVf5leLgG4agmWd+Cq2n/2d9Y6JgWoSxq8lNCRZeYWTpLk4LZ+txQ2Hb/cE/zHP2lz12Nu5LHT23lSR1jrM8BKk2Iia6nJ+WsEmJlkyc6tfW6Du0sR23qgriR1KHzvauBZzWxqNxewHHjmwHZaXAgbbEqtnWa1GU5QCKFJhYaB5pU3jflH39flV949zcqwxLrSUagWaCktyEuMaqQLDJ2jkgFWZcGmW/2sbZg5JCZ3WDKdnWvzzE3JhnvKYsUxIhtZ4QZ+GtsfmmZzyVNB6sb8zcxtZefuqxkOh/nXYOPGTezec+Wdw/7SO6anAhq1lFqoCSvb7GVSpbyrWNHJviatniVoVNkdKWcjy1KkSOSoSUBPgjvT2hPZSuVa0EbS8HsfafKuD7foxZ4teBGTgaVj71xalBI75bJdt8RXSxPWGYdRJiuHePG18V1ajteOBy4DnlLJcrl8ubxfTUWLa0l5aFC5vU2bYnBQmnq0PPjRt/b4sbd0qZc0eK7JTQwmRRtDbGCkrSZPNMTGPeab2ELidLme1OAGu4OcofIznenyXIcbp+OtBk9z3e+0d2rcliV2TESUGMaRZjBMQQacO3/xHVdddeWdmzZtKgA+N7+FT3zoHQOpLx6bn4GpRkIj1ISB29bayzrWq9Ojyts7l0eorW0xmwD9GmCX5UjRwFCWJzJn7pLuzl9bDY6vefZIwJ/e2aAbuwGLonQvJXXsnBOzhr0nWXvSRak8Trolz+sN/hWZvAT0DNg6Y/YJoFfvUOxg7FL62TxDXQzS11qSGlUEnbFHSxm++zUDrr5ijExT0GkB9Bz0VZCPXdCZGBtkJtoCOAs4EyMq4E7yQFOsuQB0KQgtgkmT/7/W3u2uzrHbsmQ4NnQHmsFYcPz04rF/8tO/Mti+fWsBcIDb73gdd7zi27h6305mWgMatdRKlcowy2LWX1F7vRbcWaVfDtBJdleTLJ25K9XkTQbmbNyaLJXBSpnm4JYyQfmaZ474/MQ7ZnjqUIjxS6CWiiIlTzFjcIK9c+mR300RJ2XsXWZqxERAV43Bvha0zZonZTdFVLObFZlSGMzFhTCxW5qRlablCovnwFekRpFGiusvj/mdn1nl2r0juweKKbG5dqA3Ogf5WGfuimXwZB2QpzrLslrgJhXHpBiJsZ7TUga6zrcrcRdP6TFKYBTBhZWEbbv28T3f9Va+/S1vyo+nlz1RYRvlN5EehOEQRIgxqogrKo0N1W2aK9WC5VT9xPsF0HX+86oGL6fitUvR6wpzl4GtZIIUMZ6f0jOC3/1ok8efDUlzO9Ar5IksB5ZMJHWqRWGT7C1FVYaUGbwMY1FBeCFXvjbCy3a4yPXJeqOHM22uDW64vPWEZWYZZqUC7rkUktQYhOvayVL4qduDxjYVGFRquOnqMf/gzX1+9t/79BLsQcoqDbOt7qWHRhFnF57Oqg1Fns3MszGUdLkwruKw+B6SohM/0+MZyWQVijbGLLCnTRHMC+zFME5gEBuabZ8d22bp9AZrAX5ywccPgsPHz7eOmNH0XukOaF5n4qLlzHqSrrqwDHCRg7oaUE4WVGVZTDEZWOZsXwJ39rwkR6RjbSkT/CBlkMJ7PtrkQ19oMnaVgQWwC/dElqRJNqGqwt4VSWKqO6YJcnq/VD1KGe5rx7ddAuMl77solS3mjthap7LudvMDJ2pTtLEBmqzUqUi7l2mW3XQ9kKmWzjpUpNqBPNUEwvC2Vw/Yf8LjPR9p0Y8dG2gKa8M91yhil8ApAk2biMkSQpklbK8F+7Oij5PCOcEmkrJDbDR5J8/aeKfAXfa+0Ya9O+q88Fp5ZMsmc3jLXJof31yi3Hj1HvrnH/ncptnt7x8ll7HUkehsQ6FSU4HnGn3LjQhrAkhV1dTlJmFZkiCVBFAZ3LkGr9aWqJy93WwTL6UXwbs+3uT/ffcUC0uBmyRfck6ETcVmGcuMvcvae11rcALc2QyUSxVeVQj7rxphrsPklXpwqASYlcDSiLwoqzyRVleCzUyLl+erZAmhagLITqtVbJ7T/Isf6vL339ynFcaQrk0CTWrysYHIFJo80SW5MpkUmkgMpSVtXuzyXJUu5UAzmdDtQgjadc21e7cBO97/l5984nPCv2ItgwN0BgGeX/vUYOy9SRDcKEWU6217BdmlqGBzk19VVQYv6k0K27Ckxd3rTLYoqREuJS/yCyAtafK0dHGU5Emo+dgXG/zau9qcX/GsLZK7JWXnpCRNcq+9Kj/Wqz3JWENmorrkf5df56wtLl2glr0o6+pLsXk5E1Lewy4HftZUkPvibuk2rn6jkvWUtoEgY2ohEdqQCsvsQhhSXciVOIItMwn/4oc7LHUF7/9kC2qZD+6+RPZcehgKC9FkTC7ctKvcChQoWfomWYrfHR9jbJ7BZvGL2SrCqp6KHVs+plkM1W4FtBre4zu2ND/V6w8rx1SWX3zzN7+K3oU7751r9x+eahrCICX003zbvaJNrPRYkhhSub5JZdZKj/LvZVlKUWLzEoDXBbdIUSLJ5YmqpRw+4/HHn2xybiGwE5zygLL06KRJ1mdZ1t5576dcR57AhBQxeQBarT8REyiesA3LQep6LD3J2FQlC+XfywJKCgAXoBcVsNtAslxSWwo0TeGo6EpKX6GNIokkW+ZTvu9bBuzdEUGUgsnuLujMmVzb1jEDURZ4GntPjQ0+U1OyDkuvyzZhxS7MtlHUkytAEVzGid0fcxQbRrHk1Pn+w//l3Z+698UveWUF4BUGB9i2bStCCIadFaQeIbKOkWyavzsDefdFfvJKzE250KpgbjHB4HJCcxfgXwfcefNCjBekHDnj8y//6zRfeqQGNVlxSgr2ttKkGliuN2dwbeZybYJnrf+9Ro/z33OzwWUB7OoGsYUcsTo61+fazeXO2DzrZi9JFjvR1YJeGL+pqQAAL2NJREFUCFtKKzFOlzuWzHYp1s59HyW8+pYRv/wTHX7xd6Y4ei4An0KPVx4dk2PHI5uM6YUtjDJZwIlAufa0bOKVceog6xzLfubg5cihKBMoZ3czh6bRrLF9+07SbN/L5wP4vutehZBedPbQCdLhEdK0znAcECcGbSqEX2K6Yh/GomunFFRmoHZBZVWylBhc6IoUWQvuBM/XHF/w+Ve/O8WH7mwQCc/OE6yA2zI3QuSe9+Tw+kr9egXIE1vdlRibEtjXZWrBujLlr3yrBJrlx9I2JzmjV5sitJv2ahD5RZC5LEKLPOgVrmVGG+l6IQ3ahrEUu/JAiiH0DG//5iGphl/8L9OcWBBVkGdLTgnkSZbp1AWAcU6LJx3IocjWanuOdIahEtjzYzsh54yBcSroRdBNDPs2beHb3/y6KE4S/uVPfw2AN1rzIKd/+tOPX3nNcOW5V77xtiFS+s6+yS6pgrGhxOLlNjWhSw7LWv1dtQbXA3eW2EksyKXdKOrEguJn//MUH/58g0iqaqayElxWpYkdzmiq0qTiAF3CElwvmLyEc1K68v//1aWULcAq1iuOCaV0/RqguxS+cG1n2aa95c4fC3iJ0A5QRlpwChBGI5w3bs+tR5KCT8J3v3aIp+Dn/tM0JxaD4jrIgJ6DXAGKpOThm1xvW/pV1h/Me1CzL5s3JJuq9i6XupQBrg0MjeaHv63Pj7xt5ssz27b/dDLqrzm0cvINoWZ473/7XLcebDz42P4d6akLU4wjj2w6aKad19SSVLpyqt03Ff+7lMSpgjstvZ8ihdPamSWoUs4uS/7F70yCu6y3C3BPSpNsvuDk5q1r2LsE7ALw4hJgr3b1/HWKrTIgiCKnVOroqbKXcfP5yun78izxgtXLu7WJCZdFrtXo+b4/pYm1WaYzVXgpvO2bh/ybn+iwZTZ2daxlHV7W5im4LGSU3bUgNq7MtpSWz/V1KX1fTgDpyu8W0x2kgLpnuHze8LKr59JGsPlgdO4z3a3zra8NcLAlnUIPfuKOGzY8ubA0S28QOC0H1U6bieRN6bUQ1SBTyczLntDermDK/q6zAkU1SymVJvXhDz7e4kOfbVpwl5M4YhLgojSdqpAma5sYSjMR3cF4vo75jEkmqwnL/D3Z2fN8mJ9wB9cyuJmQJPnzSVA7sOcAqYK6OrwzS+GLNYGmyfcBmrAQU4WXwNtfN+CH39THS9O/Gsh1AfLYgTw2trY8cZnNNOspLQG6yICKCsiz7y0lNP+/9r48To7ivvdbVd0998yeWq1WWt0rkAQCCYQABXMYExsfxAF8xEc+eXHiO3YS+9k5Xojf85kX31fynu3Ejl9CbGLAYJvDxgjMIYiBSNhI6Ea3VnvM7JzdXZU/qqq7qmdWWpCEgLz6fGZnpqent6f727/+1vd3pQWGuhi27J696fBo491R5bWZAPztb7wSS4d4uPKMBSKdUlkaBJF27VgpY6Yzh1sW3Z5g8khTl8s0mJUjx3xvuuAZB3EF7noggxvvyqJJE2qJGSmowa0K90RtR0xKgqT+3YF7W9aa2JQl8b4jkGdiyRPW2bTccUwKiUFugBuCtC1TU/tYRrTKvHXq3GZr5WaSRMi1Ti5VFS6kdfdCgTdcWcMVF9ZBQtOFnwB5pLhIkPsK5AGPVRUdwxJb9DgQi4uk2kIQ8PjC0PUxw5Cip39YbHo6COctvarjYXYwzThr1ToEfuPGJ5tPjZBwby7lyoqsVM16ub5dCmJ4l0w93LDoHcHNQSKPpQZ6Ir7E4aCOwG2/yODDXyrh1ztTbXUETVoCQtp5N4kzdcyAqpk4b0xJsC3FCsZzR5BPV+WpHeiibcWYZ8t1Ep5LCBUiG/Nv26prtSXWyrmaaEq+LV32nKjDpl3/Qm9Xfj/Kk1M7SgCsXOTjsx+YxIco8KNfZBGl12tFhWizqb/HEOp4cgDgBISK6HfaV7nZbtw4PoiPEVVWxWECxa6e6gVrz78xm01Pe3jpdB+UeuaIqfHHvzh3eMHRYq6GXLaBbLqJtOfLRk6Ux7IgNZSTBLiTllsnBxNtuc1YE2ZbbuoK3Hp/Bh/5cgm/3pWS2fBtXkoFdlAZa0IlwGNw2xNLu7KtDfakc6eNjhinRYfEWleDXib0W8PEt+Pafo7nW1YQVsfqs8rfbYfQmhba1MUTlMXwdLbRF95BHzf4OOcMYZPizPkBPv3eMl69vqYin5IRiGHCmrfTlUgf72DJrYQGSCveDAkqAcVEi2K8STE6BYwsW3b03oee/OLC+UPT2pJpLTgAzB4aQehPIMMF0u44XIej0fRQqWXAuYuIu8C8vceUhZiZOcpyUw3uRPJCrJxIy00cgVvvy+DPvlLCkztSklBTbamTtERabz2pNB06Dom5NVVKUMfJpfFeB/9E0YOwtXB7QhnXQLEsfvzxtOBuW64q55hgttZPZPWYziGuWpPElj2WD6GWaW9nrKpIXVwWANK7KkAsuyfJD1eFOgGAtAKsXOjjE+8pQwC4/f6s/IDB0MdFwnwycE5kp2WVHUQib2ZsuaNMIeMocQHUQoJygyPwAzBC0D+riGXLl2J2b/FYED42wL3sUDOsT7yTpud+719/diT3yNYMXnOBj3MWc+X4Uac2kgtjmVC/jqMGeWy5aTJKMAY3ZRxwgB89kMFHv1zEr3Z6CtyJIKrEpJLSTt7K9jxGq/U2EkAH2qmK8blpyWNOPjNQH2+0gznBsY0ArFgqjJUUQsx1DcmQxHVVOKjSlbkCPEC4TK/RFwCUax+KskBp6tYsmANoBThroY9Pv7cMLoAfP5CJ6UnSGWSAPFTxCgQxyDWziYKnjGMM6FgujkvOOopr1k3iwV+5GMPSqs/ZO5cumN18zgA/crTMe7vOeGRPNV3+8r+Vc406IJpNlNIc3QUCIHbcxCc6GT0YS4HElA9J2Ga5Nbh/8lAaH/qCpiW0LabbduhIcGtnjlWZKuGC76R5W60ALbATC7idOLn+wDDm0Qfx96Z3/Fj0RNjLtcdYKE9HxEN1Spj+3LydK/6c5OFEFe4kGvgRJwe4cgBxHiORqJokHKZlN686uQ5awPIFPv7m/WUIQXDXg2mESIJc82+9FYZQELTUEqZArjs7mMdZK18uEThzIMC1FzpYv7IbF6/g6Fq4vuzlFjzSaEy0uy+NQY/1YUiHQN3e0SNj5No3XXWef8FiisWzu1GuFlFtuDLsUh8UA9zWw3LiiESyQmCBWzjAzx5N4Y8/V8Svd3sGLZl+UkloUu82JEEgCtnUwI7CY4E2S52U/zrREwKDlCQtupHeZoLcBkkC5Cb3FjHYtSzYMS5cIObaMNa34lQ6yIjala/62cQ6eNIpZMarxNlAQsgW4SFnCENH8vIWwfL5Pj73wUlcen4DjJtSocnJFR+H4uRCqis+EjKgcS0RSIEgnxYopRm27+rDfY/1IXSv9HMerp3TXxqdO9h3LAgfG+CDfQ727NmD81ct2Pfy9ct3rF7ei/4uebs3Z/6WRxMJK25JiLETp5PlvntjCu/7313YujsdB0+1OXLMOBOirnClmgAdPJXaMgsL2G1BVdZkk7Qtt35rEsS2CT95QySsPGymEFMXA9Q8AWye6KCcmHRyE9CW4ycRpCWUjBgFbenJpwPeohiZ5+PLfzqJK9Y2wMIOILd0clk5QMqFca5mXJNRE974GAsucGDUx76jBZDMih3p/NJ9B/bvBSGZ5w5wAGCMYdfTj+xOe+E71pyzGD3FOnJZH54bqLbYPOLdirgZFtxUUIyHduaQAI4XAi7w00fS+MBnu7B1TwrCpQa47XIPmpYQasSZkA5FM4np1GmvJRKBmSYsOZJgT/BtDWMCg3zYMkv7JPLYwBcd3osEuOUyEseraGBz+/Mk4JMKi7mMJ8HMY828c9Sh1sbVZ2GssIgWwchcH5//40lctrYOGgQq9S2pk+sHl7maAggRey7179V5nH4oM3aqTeDweAt9sxdistJ4x50/vX83IQzHG87xVpg7dy5arRpcN3Ng/y5xX0o89htZ7ygKuQBcCIQhiTTx+BwLVZVV2KA2081YACcVYM9RhgefyOCGvy9g624T3OakklqWG6qIjkenm1QmJpbJSSVsPq7TpJLhraberZclY5LbaUpiwnk8ZBP7LXTIHNFA1hs0gq3MSENiWPJoQglVT1yDxZwoKk5OlNqiLgzOCQilEmRRyWQASiePJpd66NSzUJMzgAYhlg238IUPTuKGvxd4+Ik09hz1AM/enkwDkgcv8mImjANXjqEpn0A0CPL1AIsGi1i8ZNl9l1160YGpah2FfPa4h/i4FhwAPC+L8YO/2JbL5b44f+EiuM4oqs0JpFNleG4QWQN9WyEEseW2khfi4jxOKsTWfQ4+9tUS3v83JWzZoxKFo4L0pgTYDm5NSzqFwdoJDZ0rQXXi35Gn0vgM5jLYn0cj8fq5xBMKw3qZrpV2bm6sFHFxg6JAWWjje0IkdW95EcQ0xMz66RC7oq185OlUVlvRlTCkkpOHDLzJcMZwgC99aAJ/+Z5JLB1qygxlbcEj76dtxaOUT8Tnpx4A5aAFL1vBeKuGZStXIJ8vfPGWOzZumwm4gRlYcD0KXfNB3Z5H8unDN9/2i93XfO/O3bhmPcf6FS6EcKKUM0Br4cmgKp1+FsBJB9i238HH/q6Em+7KosEd6VuPKAk1KMl04I4dOhrApgveavWHBO+mnZZPM7mEDXY7pHAakJurzhTrymK30RxtpQ3AchX4FhUJMpQTadWFssjJianWzomhuKgLQCZSxvKhIACnoJRH8iHAI808GlTL3iTO+PEDDHRzvOWVNaRcgb/+agnb96eAVBArK0RuH5RGHBwK3K4yUG5W4OpVFVx9wTj2Vs5Cvm/k5lUrlz5y6OjkjA3HjAHuZuahXt2yO1248I827dzOypP8Nf++2cdgEZjV00I23ZJ8HMqZotPQCI+tNpPJCtv3u7jh60Xc9NMcGoQB6WSwVFIK7ARuYWXmmC1HYgtsx3zrdivtVttWSiLdG+2fA4nvtcWq2ICP8W0jXRjAjayxAeSYnsTxJyA6NVfYVt2kLBHIk4nJiGPAKTdkRX0xaAcQBRVcto2kUIAWMZITIBcCqiQyiWiIAIFoBEi5HNdeXgc4wQ1/V8SOAyppIpIP5YUjhINQ6fyUAJ4jkPME+ksEaxcWsWighHNWDPyw2X3+Hx0cfWbP8iWLTj7AASCTW4Z773t4zxtftW7z3ELrNZXxPajWCRpNjpQXyDmmlTisQ15Vh7NUiF2HHfzV14r4/t05NEkyj7LTY6bghmW5OzaOMj2usLm3pZhYPNyO7W7j15ap7oDw4w2DR+v3ILAmmCSeW8ZWV3l2rM8tN7ds+0FgWG4OyPRL+V3JxUnCAsuLVvYBguLgFEJwCE4hQ8gNkBu5mkKoXkIIAQoEfoi0E+D6K6sAEfjLr5Sw+yCAlDo+RAOcwhdUtQSS5zPtArk0xY69Dko9i3Hxgks2o/7EnqVnnPdsIPvsAA4ASxcNYtbA4Kenxvcs2ren8gbGxiJQ6/JqzDG6mzFZhD5AiI2bUvjav+XxvZ/m7GQFFSgfc+5jgzvWu0UUTDVtJzSgo4LSHlxF2jm5AdM2a2+A3WIuSfA/m2FOOkX83rbMBl0hCeuNxLownxUv17W8hUx1g6qcIGkKVKCVTISgVECo2oZQHk/BZVMEtIFc+jk4Z9B5Z4ISCJ/AdUJcf0Ud4AJfvamAx7ak0QxhWBOCgHhocCArdM1FoOmHEKyEdH7ujfMWnv3pffv2P1u4zmySaY45Q8P45cYNk3Pmzv+9Yj51fzYDpLwAKSeE5/lwHR8u8+EwH4z5cF0fTYT4hx9lcM2HenHj3Tm0qN18FcS1J5fUOS64Y0dODHRTIWnPkBfG54nPKKbh4LYerkFLDEttUfJpAD8jVcXg3vYj/rJQpj1KfBAdAKxfq0l/3CEZqpls0gkUN7SyQ2lVzDg61DzksW4eJy3Hk8/QqH3IuQM/cMACiuuvaODWvzmKt189hRzxgaAFcPkQoY96CEwFBPWAoOHLIvaUefcPDw//3o9/cufk8PDQqQc4AKy96Ap0F2lt3forW7P7PRRzNRTzNRRzNeQydXhuA57TQjrdQgMh/vG2HD769W4cqXjwiarPTTTA3QTfVk4cajpxOoDbKL1mBlNp50303qp6a8uFMaA7FNQkCWAb4E8ykTaPZQT05AeIgBmDNn5h8vFovaRl1uuajhFjnTYFBYYWboA4iiy0aqyYn6uLICr7Nh3IKcJQJkWEOitIGLVWuIswdBGELkjI0Jvn+NQ7J/C215SRgw80W0DYAII6wmYTYzWOI3WK0SpAvBJe99qrWz5ntVdf3Tne+3jjWVMUPfoHFgKCb2TBqgtFdVvGYRPYfYhjsK+Fgb4AgnNsO0xx64Y8PvnNEiamVMsIS9c2KUlcNkp3b/OgIwKPAW4DiElJsI2adABvm1qSBHG0LrHWlYDX/DwOk525CG4PcYzlujIaTJqStN7JilfRcsRKCzGtN8Ahohoq3AiQotTg5GqiKbtfc+O9bDwrlGIGTqWuTmXsoWwRaPByxbWFCNCVC/A/31FG2hH44YYcth1KASJAf08NA30U2w5lMMYKWLduTf3MZYs2Uvqc7PCJAdxLF8GDqT/vm3u52Pmrhz/4rR/U0j/ZmMW5S6p4/eVToETg898t4OdPZNAMPdkugiYBruVAxYIVmDSYTfd7Etxt7njYsl/SuTMt/ybt1tukIRaoDeRbikkEePNN4rkTePUEMTGR1ECN+LdWREzOjXiZpcJoGRHx5FJz6zjtTajWfHEGkKrmFjuLFCc/Fsi1x1onOOhgKe10kjXKOShXkrGgoAroXVkfn3hXGVde1MQXvlsAJQKvv7yJlYsFbrkvhV2TFzXe9Fu/8XnCvL/oLs1M8z6pAAcA6uT507/++g2b9y7x73mi+yNbdh/yfvlkBUfLHMWswL3/nkGTp4CU6gWvM991l11t/RRgGMyyaiIKnDLTzOKC/J3173aHjrB4d0RfgGmtd7t1JxFWp5UC9evnZsAV4hFZaq2kkORyTVM0ZxdEZchLdJvA50pe1OHZJMrGJ213AaJ1ck7k3FFZ8uiCQDvIoySdyJILlbkvVMFMLiMVCYtBThk4lSBPpVq4dHUTB0cZSjmO118SYvRoH95/3fzWQzv6PvOTe3708Xe95W18ZgfvFAAcAG7f0N8a6Ct9at3Kna20O/6x1cvK9LrLatjwhItbN1A0mh7A0hHXJgo9kbVVgNOWmhpWW4NXglKBG4ibs0ZgFAlQa/lPTGu5cRzr3TaxTADXTIY4Fshn7NVMgFsv0xK4qaBIK2l49LXFtLg4VH/JGNRx3LgwM9HkfipeDcpBTToDEU9qITVzSqkEOSFxYB3hqrKtsupQZeLU+xAUlCsHIJPxLIwCDb+JJ7d62PAfeTy+PcDlqwb47NnLP7ZqZOlnw9Z460TxecIA/8Af/ja+eeOP68tXLL159Qr3r5d1HcDqkRQ27+RgjAE0DbA0GKWWRbZjOIQl6THY2rV0v8dAN5MXLI8lTSon06eidaQtMEBvADu+kIgF5AjNJg+HscJMsJ3UvRGDVFd4iuJRDE+kMDyZUU4lCLQzSIOTJB1Bio5QczIKGa9C9cUiZF1Brg8gV1MkRIqgBLkRQSrAQISuOqyCDKzDECfC0JDDcShcJhAGIcbLHh7Z3I/xOsH5q9aKsweHbh4vT9VHzr7uROF54gAHgLPOHMYU73t6lpN7txsEXzt85Ba6/1ATDZEF9dLIuhQplYwA46Aa51cePItCiNjCK3AneTdVF4dJV9qy5IE2664JR6cIwk6AN0+UpY8fg4eb1v14+I5ei8SdIuG6j6hEcpJJoAKn5IfaanNF7CnRZd00uAGreBCJOTcRknJA9TO1lBsYlFxRGLnfJDre+nWnH6pjaygRcELZYZoSjr5+jq5+guuuupjPmrX03T1zBp+u8/GTAc2TA/Dzz16Bfc/saDUGzvvGrCO/yH7/zr7Pff2WKfgij54MQd7hcIiIJKu49oWJDM3p2uO2k9q2FVeSBCTiSMHpW4+Qji57ENIOeMRgjikIscBNrJXi3zPTYQLbdOjo9/FkswPIiQlo2XEsjiY0ODc0Lyfy+5HDR1t1EadSRpNZRJNUahilGOQERFUws+YNCT6n26vooC0AYIwjCBkKWeD3XjkBN0Mw1hB/csH5677x9Jat4cgZ554MaJ4cgAPA0LxFGDu6K8zPfvP2ZmakIryfF3p4DX0ZDo9JwIVcFipthTKTQzsdQGyLl6QXpovdtNDJ6lRtMSR6WTLm2/wM7cvj80OibVEQA8jT4PfZgPp4q2teba5sAFWD3OTpEERKf2YcijHpFOoL+sLgyoQTEPui0eBHHDkbAV3tnnwtVHKbPn/x7Say4krVCUMGP2DwQ1lGggBwHRctH+jrKeBPf/eKSo1esf3AoWfCkTOWnSxYnjyAAwBoAY8+Hf7w1Vesfw8PvM//28139zSqk0h7sjKtDlzXpQLUOWn3/Kk/mrO18Wp0ohIJ4MMGcsy9E9k6EfiJTT0S29f7Za/TuQbhc1JSOiA+ackNKi51Zl07RQFaH09LB7dkP6ESeAnAZWCaVE3kF7SVNjNrYvlRh3nFO8kTuyyM30Ai/TKuttUKGGp1D02fQQiAkgDdXd3oy182Vuq7+ANdovzDRtBefu1ExkkFeE93LwDg6Njkd956zUVOfzb89J1339s/WS6DEIJyDSjXgVaoZvSIVZI26mmAOwlsmpT+iA2+NquM+I7QBt5puLe2R8T4jsRSO/FOxrEkR0fATwNofbsX7f8m4szROrDVE0kltJUnkd4NKi8GGJPPqDinyeeju4HWz1XFWg5w2QVAFmDVV1KH/YtUmehYKWrJOCghKFc9TE65EEIgl+/D/NkXHynNvvi/+4H/nVRmwcmEI4CTbcHV6O0poVwuf+tVr7iYlidHP/noo4/25zMUHAEOVhs4Oukh51Gkqa40Fd/ONM9LgjNJUUxJzrTetlVOPkhHMLcV10xad4OqwNi/6JkkFs5wdKIpwgK3YZnV/zdLKQOxB5ISg34AxkReAV0QSSna+LnJt4VlvQnhkWYeURi14/qcichSxzmUUTkRKsAgwJwQmVQL41MBNu/IIwgo8llgaOHyI3MXXvTRRiP8Vr5QOhVQfG6xKDMZxWIRt//kZ9/I53MfXrFs3tjCIeDqi2t4628eQkBbaIYk6rspe8TDiuVOehHjR3uqGe2wvJ2+EMuST9euJDkJhaWJJ7Rv/cIMKEmMY9KVTv55Mv1qVnY9EnTCcMHbvXuM5RaYjTxNGN9HzLfbM4MS+yDiKzuqaGvUNwxDGaviMAGQOr57d4gfPRRg+zMNOOnZY5ls7sObn9jwjXyhcKpgeOoADgDXX/tadOX4t0eWDL3v7BX9lf6eUVSbASAIUkzAY0DKEfBUH85O7u/opBsW2lhkUQhz4pgMmY0+p7C3kXD2aECb2wTsC0/zb70R87vxLk/3Y+xhgrVteYI6AO2gjiaZHDLZQMTdDyxAGy1OouhCEa/fOUGZABHwCRBdEElSiegXcEEQhAS+z9DyHfgBQxBSEBCk003sHmsgVZhTyZdmv2/X3tq31170ylMJwVNDUcyxeF6Dp9zijfVmV/DI5oX/+JXvHU2nqYfuFEfek+3BuQCagWoFrbgf0WoBpuHXJvgMzVyDGrAtcvJ71ACpCWgrrsXk4e1unLZ3Jnd/VqODBGhug+h1jP8WTT7VG64oA41c9oZXU5McrSVSYXkridLAqfJwErUfUp6U/CS6yIg9mdR7YdLMIGRo+QxcELhMZr67Tg7veu0Yunu7G01/1u9X6sWbjkxOnZAbfibjlFpwAFhy1puxafeOcOlZtZu2HVn6ljOXrWj0eAFKaYFiVqCUJSioMig+J1EfdG2B9AnWfTlBpgE7YN0BTMDbfNrm45HFh1JYzItnWq7/LDs4zGAY+GgbpoWPXltUIaYhZh3tuMW3oaroZytcVm3bKjsR05cofFdZcV2+WR4X6X6POlIzjiBgqFRTmKykUK6mUKmmMD6ZQi6/uvHa3xh4yyS8mwYHd4Uffv8bTzX8cPzCEidhfPeffoxy9vfF5PDLn1rkHNnSnSVXN2sTbleBorvA0F1gOFwJsK8C1AN5OzO1bWa44JM1BmXdQzv+O+rioCZflBrra5e/SqaItktJRxB3vCAsWkMS3yH296d9nmZCm7zAppvgJq4wmyIRwxDE/1dvqN0wyBfTVfwC7H2K74KqqS/jcJwQKdeH6zYxUWHYsruEWpMhDKXJL3QtqrmZ4bePrJp305rBMl974TufD+g9PwAHgIfu/h5ef/EauI2dvxocmrczn6UvZ6Ke7ut2MTLMcOl548jmjuKRLTkQxmTNE7NxFE3IghaIDXAroMR5miTi3dE2KElcLDMDdzugk/TnBADe6YF4vyP8GtQsOWnpBHK9GpD8XfbcI5JQ2z5LhDyY/5oKmRPLBDw3QDFXx7/cw3HjPUVUKh6EoCCEoadv7mSxa+gPNzwweWNXxsG8M3/3+YLdqefg5vjoB34Hf/ulf8Dyxf3/PH9OyRXhos9OjW/tHew6iNVn1jFRrQK+jyDlQgfnRAUy4/Mba+LmwbY4eTswqQFIy+V/PHBPy72fv2HFqIgkjVH8GqanUS7T2fKRRBi55XUZZXuSS6IwWqPpFUk6nEjEwwWXyQzyHAi4bgtP7s7inseyWD3cQKnYh/lLVh4tdWX/eGzK++fV5wBLzn7L83rsnleAA8CfvO93AQDl8uS3KXOdvTse+NTU4Vv6J6qT+I9dacBh8IiAq6RDRuOuDPrURae2A/+eXvpDm8UywU2N23S87faa3x2VnlOA/LbAK8CK97BQTvTMz2yyoEAepexrz2esixMD4DxKPo4nvBr0esYpjFmw5O0UCFVkYUgRBA7OWtjEXbkyRHo21l6w/sgVV1z0kZbvf7u7u/vUAmua8bwDXI9isQQhqt9ctvIisumJ8ie/9C9T/d+6g4C4LnKOQFrJhzpMFkhYrsTJT4I8ab2pAnFEdxLgTlpxGNuL7vamNPi8Hi0J1mhil4hDkS33FFUSIubK0i8PQFly3dJPl40QsGNQEE9GrfBF4y4hosk/ibqiAQCjHLV6CtddUkGxEKAwsP7IZRdd8tFGIL7Z231y3e/PZpw2gAMAITn8emf5GyR3abBqVeFzr638rPvnG6soeBxZT3JwQuKOtrpcsNmDNJoImXyz42SJRJM5DWgN+qgg0HTAjjYcD0spO27k1HM5Nsn/lvjfwrbkIjEnAASopiNc1kjR4LboiVZgSPxeX0zWMUbsg5At/2RkIAkYwlCGJXqOh13jI3jtVa8c7x5Y8yFCy/9IyKxTCaHjjtMKcAA4c2ERQjS/s2zB6rGe3PbFCwbSn7n//odczyHwXNl6thUIhC0JcgDSNa2R3omOaBWB2BPTJKBtJcVw8MCWAc0TDbRz4lNmzo+xXdN5GtlYYaodMk6FAir+NQa32cBKp7LBAruIJFognugyKk9AyJl05ASS8VNCUK0DXQPr/NGD5MOT/PLt/kTu9tm9p1yFPu447QAHAEJS/JePb/nh+rVv8Eq5LbXZJfrVBzY+TkK/SR2HYLIKHC5TBALwqGwx3UkPT4a/xtu3KYgJblNlmVbfNidi5uIoJkPbzBPHOkFy323+b/5v8xlGEBYh0qLTiKKoixayd3yUfynaqUncA0jHpgAgsiuH6wRwHAEvFChPpTBRcUEpRz6X4YNDq4STXfre11215B+mJve3untPXsjriYwXBMABYPU5y/D4E79qLRwe+E6r1fp5ENSvmxg78r8mJ45gyTyOBa1J/ODBHLLEAaOAy2R+SFJC7OyYgQXmmIsTa7JJE1eG0K5A2I4W01pa1v0EEK5vSMn9j0KmEtvVPDimFfb3hEowUfGxcnmUEAz7ewnLrRtXyfxL+ZpSjnTKh+PUcNsDGUxMFpByCBYMz0Ghp/d/dPUs+F46O/uZsdHR1sDQCwPcwAsI4ABwzqrlAFD/p/9309Z0ccGnzpvf7TVrvX+ed7ax7uIkHtwS4OCRXpRSqvclRdyHh2rrZ5SlT6onluOHqJxOEr2W39HeO5UlY7q5TbArdEdMhZyYHSeJZ/3anEfoEUcJ2p5L/SUCZb31fjPJwyEz0WKnlRF9qDcsq2FJOhNC9rfXns6U62P/eA3fvLMLC7scXHrBgjCVH/j4xS+b+6mNDx0JF4ysP90QahsvKIDr8ZY3/zbuuuOH4ZVXXf9X4+NHnQO77vuT6ngtNdQ3gYOHBRwGOEzWEXJYTDE1CiwFDbb+bVpyRmOwM7Wivs1r8Oi+6xDR3d4AsoqZ1mUbjP9/IlQlnlPY8fAw9g1Q+8htkEcWXEC61KmwvsyJjPHWVrtTcEDcL14mqjDCEPIQXACHJlzM6h3Aq65Y13z9ay75297e3r+65ZZb8brXve50w6bzsTzdO3CsUa1WkM364AH95Kannrrwd/7sNlpi4sJWZdQpZhmyKQoVy4MgBDgXKqlVtvPWF4LDSPRgTAKbMfmgJH7WdwGFa4ShQBhyBKFAGIo4xQ5mJj9R4QTxnYBqj6b5mnTS3hMyJo0fjIp2763eN67aYgdGH1YD4FGlXabvctIoMAYZnuwIOEw+u7o1O5P/D0KmFoYhBYdUstKpACmvjln92WBwoPbgvtbv877e5Q/WGuKj/d0MhVMY7nqi4wUNcHN85Rs3w3XdQqUy9ffbd+y+/uDBg5SKBlKegyAUqDUEmr685VIKuIzAdaAeNAI600DXIKcUlMkLQnNyQILIDzhaPkfTDxEEMjtGW2ftBbXuBIRG74miPkmdnerMGGKDkRKAKkCaANfvo1aNAMKQyN41LYKmD/iBvLgBdacy6BuLLnJhPzsCnsPhOQKuy+E6XFWTJWi2KKpNBy2fgCJAb7eD3r5+3jcw/K+ZTO4PgiCoLDjjt043JGY0XpAUpdN4z3+7Bk9t2VHJZtPv27Fr8bYHHv7lShdT1+zftxPjZWB0kqDRAigVcB31LEgk+UnwkggwNAK4AXoWx7LIujYUrYAjDKVUyXkMbqY4rqy/106RYo+oIfegfXJqeg7NYVr22JpLkIdUeiQbIGj5As0Wj8JcKZW/iTMC4cjthJE+LhRVE1E3NqmQCLgOh+uEshw1c7F/VODAaIiRJQvQPSt/8/zF52zOl+Z8IfAblZ7+hacbDjMeLxqAA8AZyxYBwOj+fXv/cuXy6+YfOfA0tm8fuOae+zehHh7A47vSSFEPxbS89SKaWMYWUlpdKmmJArfrxNbeYRJQIHJ5tU5Qa3C0fEnEKSVwmASkoyQ3IoRyjdsaejI8wBzCpsbWClFKAYHqLSopBWPyPQHgOBRTNYGpWohmKwQgLzqHETgOi8o3WBNuEJBQFVIy6qdQKuA5IfLZFkCqeHJPBsSZi6VnLMOCRUtvPvvsZR8oV6q7i12DpxsCz3q8qACux5yhuQibR3f3Ll/2IeZ43yn1LvqjNHn4kr/9l634+UMBPMqQ9bSlNTg4JXAYVTKhtt4S1J4jSyimXA7PFUinZOuVvaMhdhwEihkZs+46Uid2nLhshanhxRGHMUWJgKyGWXSTc4CwWKTRSQVJcLuOtLKeK58L2RbGKgR7DjmyI4JH4LnKOSYAQlg0oeZE8nSd2ElCvW0CT7X7TnkBsukKNj+TwtFgLV53+bkbAuF9oW/Wov8Ymwx2z5/77GtzvxDGixLgAMBSvQCwTQixbekybA7Lo4Nve/3qv8vlty95eOPjDKIFhzF4DoXjKBri0GhCqS0rI9Iiey6Q8jiyKYFcJkBXwUcxV8E9m1t4+nAPFvUR5FMCGegqTlJ5EYazzoxlsaIUtXYXqR+69YiKH1EeWmqsowO/aMSjBVKenPDl0y0sGBzDxh0E2w7PQneaoCsnkE2R6M5AGQFjzAqmivVyEsmJjBFkAoFsJkTv4LpwzeDZ2w7ejz9ccdYFBwBsTRbxebGNFy3A9VAnYOv2XZNbFw+HV/3my/JDb3rVud+/9+f3FsdHD+R4UAcU4FwFdhlLwVWZMQkg1xFIuwKZdIh8NkB3oY5ifgoODTHVEKg0GRwagjFp+RiNY2OS+xMrIe0uf87jwpdRYJRCm1mLRH9Nc3DXkTQi4wXIZVvI5+oQIDhcFRABhUN5lITAlFIihObcShlRD51e1mwJuKk8Cj2LqvOWryun3Nq1fcWRfe9d7Ox+sQNbjxc9wPVYvKCEMOS7Rxad+8zYRGVFMS3WOQz/Z+vW7cETm7f01KoThWyGIp/hODweot4QIGkCopxGriPgeRwZL0Q27SOXaSGTrsNhDAEHGiGBz4mUDDmiPjLaoxgpIjSe6OkJKyDXCyN/kZqwGpo1IQShjodSv0knFVDVFl1SFQ6XhWCUQ3CBeoujAgf5JoGnIjDlPsr9cxwgmxYoV0OMjnOU8g7yGQeDs7sqPbOWjA0PL3bSafKOXGnBQ65XmAQEJ+T0x5CcrPHS+SUAGKMghPBmfWp8/vDQHV2l4shtt96y+O1vfePHL1x3/pNz5/Q/fu5y1oDDceCoj5YvianmuJ4rkPJCpL0AmVQTrtNEoOKeuXaq8HbvoQpIVVq61tzlpNVz5TNjMZjDUCAIOXyfww8kGMNQyZBRr3m57TjORqg2ibLOthAELglBeBMVH6j7QNOXao8fyO1zLnMlB3qa6O0NcLiabhRLvY8vW77mycuuvO7jt99+8+JMtjhS6h68o1yujRNCXlLgBl5CFtwcc+bMAWTsf237jt1wHOczjLHPXLZ+mJVKS786QZojXurAesbHWCYdIOUGYLSlnCCyJWIu28CuQxw/fbwA6slwUDN2wxwm92Y05vQuQ1Sh1Q8lPRBcwA+k80hr9pxTQFBQ1bpPiPbfFNfcBkCAesvBpefU8X/vmMLTe/NoZgmCEGi2OChCpLwUQBiy2RzmzO0Ohwuz76fdxa2tRu3djJHQ89L4i7/4uOgfmFc73efrVI6XJMDNsXjRfCCGZDB6dOIPrrrC6z7/3LFPPPSLe73yxN6wv9tbnc0Ea1r1wwiDGlxaw3ilju/8NIen9hSRzlIQwq3QXHMQEOnRVNTEdYCUC6Q8KVcKAI0WQRAQBFyg0eRo+nJmKS8GCVwWEoRqjhDxdAXoONNdLvcDhqVzHbz50jK+cHMe49U0Cm6I/q485g31IZdh/+5Q/5ezhxaylWte1uru6fmzNee2xjPZrtN9Sp7X8ZIHeHL09XYBwDiAdwHA1ifvBQi5BKL5ilq1fq1Ly8t6iodw+30b8f0NfegrApONKio1hu4UlTKjCg8QBghN2dF1gLQnkMtyZFIhKAGqdYZmi8L3OcrVELWm5NZpT4KWUYLQ0d3MYp1cX1AhJ6palAAVdbT8KvYfKeJtrwD2jAu0xBqcOZTBrJ7slmwu9/1sxrtTCGx49SsvPd2H/LSO/3IAT46RFS8DgA2V8sQGAPcRtBYzuo8fruzgl5y7cuGrLip95LGt27Btbx7+xCHw5jiIAGp1gKccuA6Lwnah5UMmdfRSzses7jp6u6qo1l3wrd14YhuwaY+PqSZBf4FiVlFmpac8qbCEIUcQEISOACEcLgsguI+pKYpWM0Qh34V8zxxs2ukjlVmBM7r3fuqsxc/sPGPFxfSMhb00k3a3Q+COnp7u031oXxDjvzzA9SgUuwDgDv0+aIyC0HQXb+1+cMFjAe56NOsvHTzzgxlPXAkiMFUNcM99v4RLqigUPGTTsv+Q4AF42AQlAYq5KjiO4gf3EzBBMDZJMH9QoFBsIoTAA5vSODzuIeUQZDwBr+AhlfKg83k9L8CsWXnMnrsGjZYHSoFCjt+VyR/63MGq584pnQfSc82GV17ZnFi0oO90H8IX5Pj/AJ9mOOk+AJgAcCsA7HnmAAA8BcEHAMEr1RY2PrYVvNlCOuUhlaKoN5r+ueesvoHwqVfn0g1/Vl8ND2+p41C1gDVLfSxZEmDvYQdLMhTnjIS4+PwmHt1cwuySQG93xh3o77pt06bHb2DMc3UYQT6Xw+DcFfB5CgSEeh49BGDn26+ffboP0YtivDTU/BfIePSRh0EIBiqTh0sptyH6u2u4/eEAY+NFvHxNE8V8Axue8FDMuHj5eSEOT1Xw4we60JcT6OnKkvnDcyaFEIfWrr3gdP+Ul8z4T9rwxlqe+I2+AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjQ2OjQ5KzAwOjAw0h9T3gAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo0Njo0OSswMDowMKNC62IAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 10860060
{'hecke_orbit_code': 755947798580, 'n': 1, 'trace_an': 4}
-
id: 10860061
{'hecke_orbit_code': 755947798580, 'n': 2, 'trace_an': -2}
-
id: 10860062
{'hecke_orbit_code': 755947798580, 'n': 3, 'trace_an': 0}
-
id: 10860063
{'hecke_orbit_code': 755947798580, 'n': 4, 'trace_an': 0}
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id: 10860064
{'hecke_orbit_code': 755947798580, 'n': 5, 'trace_an': 6}
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id: 10860065
{'hecke_orbit_code': 755947798580, 'n': 6, 'trace_an': 0}
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id: 10860066
{'hecke_orbit_code': 755947798580, 'n': 7, 'trace_an': 0}
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id: 10860067
{'hecke_orbit_code': 755947798580, 'n': 8, 'trace_an': -8}
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id: 10860068
{'hecke_orbit_code': 755947798580, 'n': 9, 'trace_an': -6}
-
id: 10860069
{'hecke_orbit_code': 755947798580, 'n': 10, 'trace_an': -6}
-
id: 10860070
{'hecke_orbit_code': 755947798580, 'n': 11, 'trace_an': 0}
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id: 10860071
{'hecke_orbit_code': 755947798580, 'n': 12, 'trace_an': 0}
-
id: 10860072
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id: 10860302
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id: 10860317
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