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mf_newforms • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [2, 3]], 'cm_discs': [], 'conrey_index': 43, 'conrey_indexes': [43, 85], 'dim': 4, 'field_disc': 576, 'field_disc_factorization': [[2, 6], [3, 2]], 'field_poly': [4, 0, -2, 0, 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': [[5, [25, -10, 9, 2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007542885679230, '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, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '126.2.f.c', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'minimal_twist': '126.2.f.c', 'nf_label': '4.0.576.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(-1+\\beta _{2})q^{2}+(1-\\beta _{3})q^{3}-\\beta _{2}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': '126.2.f', 'trace_display': [-2, 4, -2, 2], 'trace_hash': 602921084665082157, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.006', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.870', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.985', 'prec': 17}, {'__RealLiteral__': 0, 'data': '56.892', 'prec': 20}, {'__RealLiteral__': 0, 'data': '33.865', 'prec': 20}, {'__RealLiteral__': 0, 'data': '1399.739', 'prec': 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [-1, 0, 1, 0], [1, 0, 0, -1], [0, 0, -1, 0], [0, -1, -1, -1], [-1, 1, 1, 0], [1, 0, -1, 0], [1, 0, 0, 0], [-1, 0, 0, -2], [1, 2, 0, -1], [-2, 0, 2, 0], [0, -1, -1, 1], [0, 2, 0, 2], [0, 0, 1, 0], [-4, -2, 1, 0], [-1, 0, 1, 0], [2, 0, 0, 0], [1, 2, -1, 0], [5, 2, 0, -1], [-1, -1, 1, 2], [1, -1, -1, 0], [0, 0, -2, 0], [0, 0, 1, 0], [1, 0, 0, -1], [-2, -2, 2, 4], [0, -4, 0, 2], [-5, 0, 0, -1], [-1, 0, 0, 0], [2, -2, -2, 4], [3, 2, -4, -2], [0, 0, -6, 0], [0, 0, -1, 0], [-2, 2, 2, 0], [-2, 0, 2, 0], [-1, -2, 0, 1], [0, -2, 1, 2], [2, -8, 0, 4], [-5, -1, 5, 2], [8, 2, -4, 2], [0, -1, -1, -1], [0, 4, 0, 4], [0, 1, 1, -1], [-2, 2, 2, -4], [2, 0, 0, 0], [-8, -1, 5, 3], [-1, 0, 0, 0], [0, 4, 0, -8], [-1, 1, 1, 0], [0, 0, -1, 0], [0, -2, -2, -2], [2, 0, 0, -2], [0, 2, 0, -4], [-6, 4, 0, -2], [5, 1, -5, 0], [2, 4, 0, -2], [1, 0, -1, 0], [7, 2, -4, -6], [0, -2, 2, -2], [0, 0, 2, 0], [1, 0, 3, 2], [-9, -1, 9, 2], [6, 0, 0, 0], [-1, -2, 1, 0], [1, 0, 0, 0], [12, 2, -12, -4], [0, -2, -2, 2], [0, -2, 8, -2], [0, 0, -2, 0], [0, 1, 1, -1], [1, 1, -1, -2], [5, 4, 0, -2], [-1, 0, 0, -2], [-2, 4, 0, -2], [-2, 4, 2, -8], [2, 0, 6, 4], [0, -1, -5, -1], [0, 0, 2, 0], [-4, -4, 8, 2], [-3, -2, 3, 4], [1, 2, 0, -1], [-7, 0, 0, 4], [0, -8, 0, 4], [-2, 0, 2, 0], [-1, 0, 0, 1], [0, -2, -2, -2], [0, 2, -2, 2], [6, -4, 2, 4], [-2, 0, 2, 0], [-12, 4, 0, -2], [3, -2, -8, -1], [0, 4, 0, -2], [1, 0, -1, 0], [0, -6, -6, 6], [0, 4, 0, 4], [0, -6, -11, -6], [0, -1, -1, 1], [2, 2, -2, -4], [1, 0, 0, 0], [2, 4, -2, 0], [2, 4, 0, -2]], 'ap': [[-1, 0, 1, 0], [1, 0, 0, -1], [0, -1, -1, -1], [1, 0, -1, 0], [-2, 0, 2, 0], [0, 2, 0, 2], [2, 0, 0, 0], [5, 2, 0, -1], [0, 0, 1, 0], [2, -2, -2, 4], [0, 0, -6, 0], [2, -8, 0, 4], [0, 4, 0, 4], [-2, 2, 2, -4], [0, 4, 0, -8], [-6, 4, 0, -2], [0, 0, 2, 0], [-9, -1, 9, 2], [0, -2, 8, -2], [5, 4, 0, -2], [-2, 4, 0, -2], [-3, -2, 3, 4], [-2, 0, 2, 0], [-12, 4, 0, -2], [2, 2, -2, -4], [5, -5, -5, 10], [0, 0, -14, 0], [-12, 0, 0, 0], [-2, -12, 0, 6], [0, 2, 11, 2], [-3, 0, 0, 0], [0, 1, 11, 1], [2, 4, -2, -8], [0, -1, -7, -1], [0, 0, 6, 0], [5, 0, -5, 0], [0, -3, 1, -3], [-10, 8, 0, -4], [0, -6, -4, -6], [8, 2, -8, -4], [6, -12, 0, 6], [-3, 6, 0, -3], [-9, -2, 9, 4], [0, -2, 13, -2], [2, -12, 0, 6], [2, 4, 0, -2], [0, 2, -8, 2], [16, 2, -16, -4], [3, -1, -3, 2], [0, 5, 11, 5], [-7, 0, 0, 0], [0, 4, 3, 4], [4, 2, -4, -4], [15, -2, 0, 1], [0, -4, -18, -4], [-21, 2, 21, -4], [-11, 6, 0, -3], [12, 4, 0, -2], [4, -6, -4, 12], [19, 0, -19, 0], [0, -1, 23, -1], [0, -5, -15, -5], [13, -10, 0, 5], [0, 6, -16, 6], [-10, -6, 10, 12], [-6, 6, 6, -12], [10, 6, -10, -12], [0, -12, -6, -12], [0, 8, 0, 8], [-16, -2, 16, 4], [6, 0, -6, 0], [1, 8, 0, -4], [4, -4, -4, 8], [0, -2, 2, -2], [-2, -20, 0, 10], [0, -2, -2, -2], [20, -2, -20, 4], [24, -12, 0, 6], [0, -2, 15, -2], [0, -4, 4, -4], [0, 1, -27, 1], [-18, 2, 18, -4], [12, -16, 0, 8], [2, 8, 0, -4], [-12, -4, 12, 8], [10, -2, -10, 4], [1, -16, 0, 8], [-7, -10, 7, 20], [-13, -3, 13, 6], [0, 6, 11, 6], [10, 0, 0, 0], [10, 8, -10, -16], [-7, 24, 0, -12], [0, 4, -6, 4], [0, -12, -4, -12], [0, 20, 0, -10], [0, 2, 12, 2], [-24, -12, 0, 6], [-7, 6, 0, -3], [6, 20, 0, -10], [-12, -8, 12, 16], [-8, 4, 0, -2], [0, -11, 13, -11], [30, 0, -30, 0], [0, 4, -24, 4], [4, 16, 0, -8], [1, 7, -1, -14], [0, -12, 0, 6], [0, -4, 24, -4], [-2, 6, 2, -12], [0, 6, -6, 6], [0, 12, 0, -6], [0, -12, -14, -12], [-13, 7, 13, -14], [23, -4, 0, 2], [-17, -10, 17, 20], [0, -12, 10, -12], [-36, 12, 0, -6], [0, 4, 0, 4], [10, -6, -10, 12], [0, -1, -7, -1], [-11, -8, 11, 16], [0, 6, 0, -12], [42, -8, 0, 4], [-29, 9, 29, -18], [22, 24, 0, -12], [-8, 8, 8, -16], [0, -8, 0, 4], [-16, -10, 16, 20], [0, -1, 15, -1], [-6, -16, 0, 8], [0, 0, -36, 0], [0, -8, -21, -8], [-6, 24, 0, -12], [0, 0, -2, 0], [0, -18, -10, -18], [7, -22, 0, 11], [0, -12, -18, -12], [0, -11, -9, -11], [-26, -8, 0, 4], [-2, 0, 0, 0], [-20, -8, 20, 16], [0, -12, -16, -12], [-12, 20, 0, -10], [16, 12, 0, -6], [40, 2, -40, -4], [7, 13, -7, -26], [30, -2, -30, 4], [0, 0, 10, 0], [7, -4, 0, 2], [0, 10, 2, 10], [0, -16, 0, 8], [-10, 8, 0, -4], [0, 4, 24, 4], [12, 6, -12, -12], [-3, 20, 3, -40], [-11, 12, 0, -6], [0, 14, 0, -28], [26, -16, 0, 8], [0, -1, -1, -1], [-28, 10, 28, -20], [26, 24, 0, -12], [0, 8, -5, 8], [-27, -22, 0, 11], [0, -8, 18, -8], [-6, -16, 6, 32], [8, 8, 0, -4], [-35, 7, 35, -14]], 'char_orbit_index': 6, 'field_poly': [4, 0, -2, 0, 1], 'hecke_orbit_code': 9007542885679230, 'hecke_ring_character_values': [[29, [0, 0, -1, 0]], [73, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 2, 2], 'hecke_ring_inverse_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 2, 0], [0, 0, 0, 2]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 1, 0, 0], [0, 0, 1, 0], [0, 0, 0, 1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '126.2.f.c', 'level': 126, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 504, 'analytic_conductor': 1.0061150654681328, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 3, 'char_parity': 1, 'char_values': [126, 3, [29, 73], [2, 3]], 'conrey_index': 43, 'cusp_dim': 40, 'dim': 12, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 343630938238, 'hecke_orbit_dims': [2, 2, 4, 4], 'label': '126.2.f', 'level': 126, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 7], 'level_radical': 42, 'mf_dim': 56, 'mf_new_dim': 12, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 6, 'sturm_bound': 48, 'trace_bound': 3, 'trace_display': [2, 6, -4, 0], 'traces': [12, 2, 6, -6, -4, 2, 0, -4, -2, 0, -2, 0, 0, 4, -8, -6, 4, 0, 12, -4, 4, -6, 4, 2, -18, 0, -36, 0, 8, 16, -12, 2, 14, -6, -8, -2, 24, -14, 28, 0, -18, 0, -6, 4, -40, 0, 0, -6, -6, 10, -22, 0, 0, 2, 24, 4, -6, 0, 14, 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mf_twists_nf • Show schema
Hide schema
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id: 107341
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.f.c', 'target_level': 126, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 107342
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': True, 'target_label': '126.2.f.c', 'target_level': 126, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107343
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.f.d', 'target_level': 378, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107344
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '378.2.f.d', 'target_level': 378, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107345
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.e.m', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107346
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '882.2.e.m', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107347
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.e.n', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107348
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '882.2.e.n', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 107349
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '882.2.f.j', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107350
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '882.2.f.j', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 107351
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '882.2.h.k', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107352
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '882.2.h.k', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107353
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.h.l', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107354
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '882.2.h.l', 'target_level': 882, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.t', 'twisting_char_orbit': 20, 'weight': 2}
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id: 107355
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.r.e', 'target_level': 1008, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107356
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.r.e', 'target_level': 1008, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 107357
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1134.2.a.i', 'target_level': 1134, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 107358
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '1134.2.a.p', 'target_level': 1134, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107359
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.e.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107360
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.e.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 107361
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.e.l', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107362
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '2646.2.e.l', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 107363
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.f.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 107364
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 6, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '2646.2.f.k', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 107365
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.h.m', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107366
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2646.2.h.m', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 107367
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.h.n', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 107368
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 8, 'target_dim': 4, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '2646.2.h.n', 'target_level': 2646, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 107369
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.r.e', 'target_level': 3024, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 107370
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 18, 'target_dim': 4, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '3024.2.r.e', 'target_level': 3024, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107371
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 39, 'target_is_minimal': False, 'target_label': '7938.2.a.bm', 'target_level': 7938, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 107372
{'conductor': 63, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 40, 'target_is_minimal': False, 'target_label': '7938.2.a.bn', 'target_level': 7938, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '63.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 107373
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 30, 'target_is_minimal': False, 'target_label': '9072.2.a.bd', 'target_level': 9072, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 107374
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 4, 'source_hecke_orbit': 3, 'source_is_minimal': True, 'source_label': '126.2.f.c', 'source_level': 126, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '9072.2.a.bk', 'target_level': 9072, 'twist_class_label': '126.2.f.c', 'twist_class_level': 126, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 349075
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 2}
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id: 349076
{'charpoly_factorization': [[[3, -2, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 3}
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id: 349077
{'charpoly_factorization': [[[25, -10, 9, 2, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 5}
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id: 349078
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 7}
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id: 349079
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 11}
-
id: 349080
{'charpoly_factorization': [[[576, 0, 24, 0, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 13}
-
id: 349081
{'charpoly_factorization': [[[-2, 1], 4]], 'hecke_orbit_code': 9007542885679230, 'p': 17}
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id: 349082
{'charpoly_factorization': [[[19, -10, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 19}
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id: 349083
{'charpoly_factorization': [[[1, -1, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 23}
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id: 349084
{'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 29}
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id: 349085
{'charpoly_factorization': [[[36, 6, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 31}
-
id: 349086
{'charpoly_factorization': [[[-92, -4, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 37}
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id: 349087
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 41}
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id: 349088
{'charpoly_factorization': [[[400, -80, 36, 4, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 43}
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id: 349089
{'charpoly_factorization': [[[9216, 0, 96, 0, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 47}
-
id: 349090
{'charpoly_factorization': [[[12, 12, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 53}
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id: 349091
{'charpoly_factorization': [[[4, -2, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 59}
-
id: 349092
{'charpoly_factorization': [[[5625, 1350, 249, 18, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 61}
-
id: 349093
{'charpoly_factorization': [[[1600, -640, 216, -16, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 67}
-
id: 349094
{'charpoly_factorization': [[[1, -10, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 71}
-
id: 349095
{'charpoly_factorization': [[[-20, 4, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 73}
-
id: 349096
{'charpoly_factorization': [[[225, -90, 51, 6, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 79}
-
id: 349097
{'charpoly_factorization': [[[4, 2, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 83}
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id: 349098
{'charpoly_factorization': [[[120, 24, 1], 2]], 'hecke_orbit_code': 9007542885679230, 'p': 89}
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id: 349099
{'charpoly_factorization': [[[400, 80, 36, -4, 1], 1]], 'hecke_orbit_code': 9007542885679230, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 3, 'label': '126.2.f.c', 'level': 126, 'portrait': 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bZPuy8YRC7LPcGGMc1iS3N8VlFxPTZMwpaZgPVTA9ZNDdkwNWTLesO2DYqLt7pUVZ0jx5t87RmPx56PeOpYSKw6fMfLW9x2k6Gqpnj+2DhHTjucmos5uxByfN5wcMFw7aXz/Mrbltk6Ncbp+XHmliostR2W2pJWJ6bTi+kNJYePL3Ds9MrFjx9YuHnv8cUdB04sfPHG17wluP+LH36xIfENPb6pGbzVajMchigl37HnqUM3/Yc/+ox87UsO3fQzbzzjzK/MsNKps9z2WWp7LLUcltqw1IpZboUstmLOLMOhRcHMzAr/6YcWeemFNU7MTnJ6rs7pBYfZRcPZhYiT8zFznYjxyQEvu7zL9ReBJ6v4ymd2qcKZBYezS4LeEKJIU/E09UrMxFiEBo6djWh3Yft6l3p1iDEChEe3r9m2YcjiigPGSpGVLgwjMBiWWgGb17l0+gqhDEIPaVZctm0csNITHDvtEGuHqaakURH4LkSRoDeUnF2SnFk0zC5H+P4A3IgbLuly06WCmWaVxeUmJ2Z9Ti/A7ELE7FLEqSU4tGh4ySUL/PoPLbNhvMnxs5OcXagyv+yx0JL2/LVDVjoxK13DUhfOdgWzi33+y88Oo+++efyB6rof0bWxXQ9I9C9GuNRqjRcbKud8fNMGmX/y7o8xNtZkdnbhNz/5d1/+uc/cucc/carN36xoXntNxOXbVxBCYIw9tAZjHIxRYMAAECOF4fDiOP/prwS/+WOzXL0zoFGdpF5t0Kz5NGou403F7KLi7LLDlx6s8Pn7Iy7c2uOi8yKWlvtcvHXI979OE0YKgeHvvlZhrlWhGg85ekbR7Ta44oKYuXbE3v0uu7ZKDpyGG3ZDqwOBdvCdgOk6PH+qSq0a4quIsYZgpQPXXdzh0EmfXds1R04PefaQ/ffcrQMOzRrGGkOW2gGf/VINIxRxHHPLVT1uvNpwdsXl6vMHnL/JJQqb9PpV9h6ucHZBML8cM7ccMbukOb4kmO0GXLVrkf/4g11mmhMcOzPO7GKV+RWXxbZguR3T6oS0ezGtrmGlC7NdyVwr5pqLlrlpd8vpd/Urjp3+GI3pG2/cufsVutls/PL+Jz/G7ivf/GJDZs3HNyWD/+2HPsGt129Vf/O5/f/x5Omzv3zg0DE1vzxkvutwvA27tszxX//5HFeeV2N2cZzFVo2lVoXltstS22G5DcvtmOV2xFInYqEFJ5YFTnXAjZcu8b2vCNi5rs5Kt8ncUpX5JY+FlmCpZSXCckfT7mvaQ0NvEDHVDNm2XgMC3zWcnHMR0mf7OsXOTYZN63rMLg958kCDay401KrLPHNwkkY9IAhcpiY0/QFcvG3AB+8eZ/fWiOHQMD0mCeM+jYrPs0cHVN06V+2KeOpwwOyix+Ypn50bYduGAKVCTi6A5xqEMGxfHzHRkHT6Pt2eS7vnstRWLK3AYkuz1IpZaMWcbcHiIGbb5i7fe8sCN17kUHGbnFlosrBcYWHFYbEtWGlpVjo5cy8m4D67EnPtrll+++1LnLehyezSOPNLFXrDBlPrtsXNsfW/+dyZy39968Th+OZXfteLDZ1Vj28qgO9//nmqlUr11KmT25548tm3Hjxy6jf2HzhJbCT9AFZ6gtmO5Hg75urz5vjdty9wxXk15pbGWVypsdyxIF9OQN7qaFY6EcudiKW2YbYlON01ILrc9vIWb3ip5ryNFYKgxnKrwkrXo9VRLHcFnZ5gMDQEkSGOQUmD70LVN4w3DesmQxx3wKEzAU8f9NFRndddF+C4Kzy6d4wdG+ELD0e8/DKfuVafiqOI4pDJCYhCF8eNWFys8bKr23zhwQY7N8KeA0Ncarz2pZpI9Hn6UMyRkxUc6bF+wmGiLqj6As8TKAGRhiA0DALo9AwrXU2np1npaRa7hn4cs31Ljzdc3+K2mwLQDRZXxphbqrLYSsigBSudmFY3ysC93IMzHcVcO+IlF87yzrcvcPG2GrNL4yy36qx0fDoDxWAAXm0zXnXDf9i09aKPbNmy5fhgMOhfeOGuFxtK2eObBuBHjxxkZmbGO3Dw4I8cOHDgTx599AmxuNyV/aGhP9T0BprOAJZ7gtme4lQ74qUXzPLOn1ji6gt8FlbGWVips9L2Wel4LHccVjqCVsfQ6sasdCJaXc1y1zDXEZxpaSbGe3zbSzrccFHE9vWKZtWl3anguxJQBJFEa4E20BsAQjPRGHDglEGbgDv31Bn2qlyw2ePGy3uEeoV7HxvnqgtdDpzt0lpucv3lPb70qM/6ScPeY4b/501t9h71WT8puesxxY0XK5Z6bQ6fmOSqXQH3Pt0nGta44RKP87cO6Edd7nhUQSw4dNKhWXNwBPT6NqiOtSGMAKlxPE2ra6g3QrZuHHLTxT2+7ZqIqXqF2aUxFleqLLftuVluC1pdaHUiWt2IVjem1TMs9SRnO4KFTsx1u+f4jZ+Y54odFeaXJ1hu11jp+rR7Lt2+Q28g6fQg1BV9wYWXm53nnf9T551/wfsXFuaD3bu+OUD+TQFwowMZBP03PvrQFy5YWtG/88gjj7qDAIYB9IYR/UFMb6DpDgydgWXyuZ7iVCvmhotnecdPLHDN+S4r7THmlxu0uhVWOh4rXYdWR9HqQadraPci2t2Ybl/T6hnmu4L5LoTxkCsu7LNhMqbbM7z++iE7NmiiWOJIQxDCPU9WOD5XYeNExDOHKqBrXLRFcfVujV/p8eiBHvMLdS7dUac5vsyDT7lce2GFxd4Ky8tNNmwwPLxX8YOv6vLIXoct61wWui2Wlya5+uIeDz4TM1kd59ILusy1Wjz83DhVp85Ldht2bRuA7PLkEcG6yZDZ+ZB7n3QZhAopIdaGHRsDvu36gE5XsWlCc/WFEAQ1llo1llo+K12Xdk/R6kraXWj3Ytpd65a0e5qVnmGpLznVFrT6ATfumufXf3yJl1xY4ezSOK12lVbPp9214O72Fd2BpDuAbi+m14+46uprwyCSP//m7/knB+u16merFVe/2Nh60YPMQb/HYDD4obmTj/z+0uzzk8dPtajXJFIJhDAYVBoxAhr7hUGIGCkVew6s5xff7fKmm5b4vlctsXNzwNnFJr5Xpep71HyXetWhU5U0+i5jdYfeIKbbj1k/1PSHhs7AZ2m+wskThiDSnDob4fsGEHjK4EhBr68QuEQ9hyt3CM7fZNi2uccw7nD7I4p9Byd4zTU+V1+8zAduN3iixo7NPZ56ULF5XDHd7FFRVYLQZa4D9YrDlvWCJ/YFXL2ryiuuWuAvPtfHcxu8+jqD6/f48sMBX3ioznNHqpy3qcaOjTEzEwE7p0Mu2xGjlMZR9nzUfJ+ZcZ8gdOn0PJ454NryhBSIfegODN2e/eydfky3b2j3DSt9mO8pZpcNtbEWP/36eb7rhoArdtY5s9Ck1a3S7nq0+0VwC3oD26ARhBBGcO9XH3a92uTvT0w/svT6W1/6c71u7y9q9dqLiq8XFeD9fh8QP/783kfecfLgXZOdTpuK56G1wi4ugtSqT0sihDDI5HBkjCclTx+c5vEDNQ6cnuNNN3W56ZIB440mS60a9XaFZt+j23PoJBe7P3DoDR0GQ8Mg0AShIQwNUWyPIPIwGqQSuI6g4gnGG4KJBmyY1mxZ32N6osUXH4X7HneReozXXONy5UUd7n8uJBg0ufFKQavfZ26xzg27NNPjPaqOzyBSzLdDlBZcucuh1hjy2P4KN189xvVXdHhsvwIzxjWXePzYdyzxpScC7nqkzt7jFbbNKDZMVplo1BhrQNUH1zEoCdrA3iOCOBaEkSCIYBhiP+Mwpj/UDBKp1xtqun1oD2G+K5nrwFAPuPWqJd54U4sfeLUmipqcXazT7lbp9Dw6GbAVvb6kN4Te0DAYagZBzDDU9IeaMwtn+MSnb5+sefF/ec2rb3Z6vd57arUXD+QvGsAHvWWkiH/s6MEH3nFk/z3rwmEHx3HwNWhtAI1AIhAIoRBCIAQoqZHCZhEdZXCUpuoK5ntVPnT3Fr78eJuXX7bC225d4bKdXabGayyu1Oj0fXp9NwG2TecPAsEwlISRIIrsUm+S1UJJg+NAxYNaVTPZCNm8rkdElwOnQj58b4XDJ+qM+1WuvcThhsvbPPx8izu/1uS6Cyts29jjg3cLlPBpNkJWukO0ASVgptmj3fHQUZU3vnyOD32hxvmzFd5wXY8gXOTep6cI4wovvWQdb7i2zYVbW3z5sR5Pnajx5BGPLZOSyaag5gs8196EUtibXxt7/sIouVlDwzC0N/IggH4AnYFgeShY6oBwBly1e4W3fdsKL7skZrpZZbldp9WuWIcmZe2BojeQ9AaSfhHcw9gCPLCxgOM4tFstPvLJu9b1h+Ydr3vNy8zcwvJ7101P/J8B8Hj+t9l/4krmT3zhh4eD/u/Mndo7XVEtvJpDHMeIRI+kgBZCJq8lSjooGSOlSJZnjasMvmOoOILlgWKpNcFH76nz0DNdbrxihbe9eoWrzm8xFVeJIp/eoEK379IfOgShIowkUSyJtUAbgcCuDr6nqVUifC/Ac4ecWhzyuT2Sgyc9jpycQGmf8zd6XLxTcc1FbZQ/z9OHGmwer3HpebBhZpmldpPLNksibfjiIz7DnmS8HvHalw747L0hx8822H2By5mVAc8edtm6foIrds5z/1MdHnxWMAw8Lto5yUVbfS7a0uHQmSUOnoJH9tU4cLhOzRH4jqTuGyouSGnXPGPszRrFEEQQxILuUNAeCNohBDpCmwEvubDN276tzcsvi9k46dMfjLHYqtDp+nQHHr2+Q29gWbs/sAmmwdDKkkEQJ+DWDAPDMNAMQwgjQ6wlR06u8Ncf+/K65w6e/Z16ox791Qf/7gOf2jPHR37vR//xAvzfvuMPkdNfYl3b/ADB6T/stBbGq46DM+YShDaR4iiJUgYpbQAlJSgpUErgKIVSKbhjXEfguRrPNfiuoebFjFcEnaHLcnuCj9/X5O4nB6yf6PHWW1pctHXAoN/l0p2GrRsUw9AljhWxlpgU3FLjOjHHZg1HzgpW+prP3F/j1MIEJnCZqCg2TTls3+Bw3ma49Pw2Wi7wrs/WWVoa47qLHC49v8WXnxSIyGXdhKRei+iFHtJIMBLleLQGgtklwSWmxi3XdHjgsSqbpj2uu3SSH/2OBd7/hQ6P7K/THbgsrjTYuanK7o09Xrqrw3ff3OH00hKfud9nsedz7IzLqVMerhJIaVc9bQyxhlAb4kgzMRVy+SU9hsOQi7YOefMtQ9aNKSYbPmFY4cx8hW7foz906Q0c+kNFb6DoDyX9oaA/FAyG2JVgGDMMdA7uUDMIrRYPIqxEihXzx9s8fuTh6Y1bNvzhNZetCz/ye9f8zfKJ32Ji6y/94wP4v3rHh7n2294qfvjn3bdsbDzz7re+7Knarq11Vtp1+kOfIHQYhg6OclDKoKRBKWWfpbRlo0rgJM+uI3BdjefEeI6m4hqqoaEWGMYqMRNVQS+QdII6R07WeeffTIKOEFHENZf32LkhIIpAG40xNokjhUAqgeN67D/usfdghXrFoeFJpmuCmSnJukmHTTOK7Rtjdm9fIRaL/NEnmxw7Ps51u1wu2hHTjzp87Wmf8arL1JhhvBFQq1oppLWkNVAsdQ2LrZhWt8rLLl1hz94e+44rxpsVXnrJOD/xxkX++FPw2ME63b5hpeMwu9Rkw3SNdRMDtk8N+Ldv6dGstXjqCOw/IXFdg1IGIZJg3Fg2jyLYsSHmxssi4tAljHyMqTEIXM4uWFD3hw6DQGXyrR8IBgm4raNlEimiC4dhkEigYQjDUDCMYBAJeqGgFQpanYixxhPjt710/N3/fW42OrH8yx9dODJjpne+/R8PwH/3v/8Nl2+vq7vu+MvbTp5qfeAvH2xXntg3xu+8vc0FWyI63Rq9gY8beDhK4zgOjtIJuJXV2o7BVdKytiMYuArPlQxdiR/EDENDNdQMQ00QGJoRDEPNMIIgEgxCyTD2CeMK+w7WeXIfxMZgoW21sSvBU7bmo+HDpRuhWYWxumSioZgad1g3Cds2DNk4s0JolvijT45x6PAYV5+nOG+L5Pwty3zl2YjZxTGu2SmZaGoqXh9f+hgliGKJMIYoDljuVphddLn6oipX7upw/2MV1k8IapUGV+/S/PRti/zhpzTPnmqw0tWsdBTzyw7T43UmmlUmmmM0ayEz9ZDtVwf4boTrRChlSxQADPamCkPF3LxDGCnCSBGEimGYPAeSYSgZBpJBIBkGwgaogSjID02QPFvWzmXJIAF3P4J+KGhHktYQ+oOAK7ct8Vtvn+MVF52pzc+Nf8Dod+kTyxd9cv/jfxPvvvoHvvUB/l//+G+pVStqz/Pzb547ffovDh06VqmPj/PFPQ7uew3/+Sda7N4c4bo1uv0Yx4lxAxdHORnYXUfhBgpXGdxQ4jkCLxQMXcHQUwShZBhowtAQRLF1RaLCEUMUG+JYE2us3tZk4LbBKzgSXBd8R1DxBTVfUq8pxmqSiTHBusmI7Rt6NOorfPKBgHufnmRlocnl2xTbN7pcuHVALFb44iM16q7DzISiURvw9CF47rDDZVsNvaHiigtDLj/fcPZMzPyyR39Q43XXdvjqU30OnFLUqxLfa3LZeZpf/+FF7nm2z2fvmWaxbdi+Lma55TDeVIzVXRo1l3rVUPE1vqfxnRhHWaklk9ZKY7AJKy2ItCSKBVEkCCNJEAnCUDIMrfMShIIgNAQBDMOYINQEBeIYRoZhkAavMAgFgwTYnVDSjqA71Oiwz9Vbl/jVH1/k264RLLWmmF86VYnV5F/5Nf+fSWf8Y/se/9v4oqu//1sb4JMNIQfDzvcdP3HqT/ftP1oZrzpECGJT57Nf20gYKL7nljZveWWbybGQbr+C4/g4jofr6ORQeK6D5yZs41rGCTxBEAp7cUJFGEEQSusgRLntF8WaOLbuQmwSpyRxS4QQmc53ktXB9yQVX1KvCpo1w3hDs35yyMxEh8is8NGvSt7/hSnWVSpcvk2wbaPLjk2a7RuX+eTXDEtLFS7aoJhoQqMWMntUMrfs4+20TDczJhkfhwNHDMttzdmFChfuqPCqazp87r4KUw3wPQ8lx7nsfMFPvmEOV87xd/dP8NypCuvbIevGI8bqikZVUatKqr6D74HvguMYC3IBUhRAjr2xYw1xLIhiEqBDGBurn8PYkkKY2KeRJoi01ddFORLZzzIIBd1I0I4EncAwGEQ0/Tbf++0LvOUVXV51pWK53aTTqxJGFVrLRyvewHm3cTzH4P0tlme+NQF+5x2fJ471D9//tad/7/ixY82Kr4iBhqsJjcRQ44t7NvC1ZyucXV7g/7mty2QzoOrXaHcjXMfDdVxc1yUINJ6r8F1lwR3aVLplHGGZKGGlKIIwhji2ToLWNuDS2qQ9nAm4LcBtACtwHQuQig+1iqZRjRhvRMyM95meWOGBfQF/dWeV/UfG2THmcv4G2LLBY8t62L2tTS9q8/DeJlXlMjOhGG/AeGPIxFiE5zk2cWWgP/RYaoes9AytbsTcsse2DQ2uv2iOOx/psf9Uk5of4ioPIcY4f7Pin756gZfsnuOv7mzw8DPjLHYd1jUjxmsRtYqkWlH4rsB3Ja4rkmCdxD60KDfYHlatyYAexTpZ3RJrMdJEsSaIrO0XRiZbEYcRBCEMI8EgEpa1I0E7gn4/RkcDpqptfup7Fvk339ej4lVYbjXo9SsMhx5BpIiNy5nTJ5uxcv+oOX2J94Uv3P7+N7zh9d96AD8910Iq+eOf+MSn33Hw6Mkp15E4MbjKUHUhNhpjJCvNKq2B4vc+4rL30BJvvLnLLVe2WT89oN2pMhj6DAOPoevghw6BZ+29FOBhKAkiu+yGUeJpxyTWHwlzS7QhB7dNUibMDY6yCRPPNVQ8TbUS0ahETDSHbJxuM9vq8SefcfninkmWlutcMCPYtk6weZ3HlnWCnZsGON4KH7rX4fCJOrvWSyYakrF6jJRDTs0bfEciBRgjCEKH7evaPEJMu6dYbhtml6rs2lLhu29p8bEvexyd9XGdECFctKkTRpJrdi6z/fvbfPGxHh/84iSPHq2zeUIwXY+pV2IqnsB3BZ5rYxVHYQNnKbKaDIO9ybTBOi2xBXwK8ii2ks766AnAkzgmiCy4+zF0Q0kngn6giXoBW6bbvOKaFb7z5V1e9xKNos7ico1B4DMYegxChzB0iCKJNor2yqmpTZs3/c7Nt367MvHie4Sa+tYB+MJiC99zf/RvPnXvO26/++l18TAGBEoYXAW+Y08uaJSQrAiP9nCCD33F556nO1y9u83339rnDde3mBr36Q98ekOPMHQJIpcgdLJAKYqslx3GqbaUxLEg1iLX2lqQqRJjmVsKrFujDK7SeK7G92KqfkSjOmR6vEs/7PPlpw0f/soYDz8zzoTnctlmw8ZJyfopj00zki3rA87bvMxTR/t85qszjCmHmTFBsy5o1kJavZgvfK1CwzMIYYHVHzq88cYhn3/I1sS0upq5ZYct6xq86aYuD+/rsPeAR92PUFJYkOsag8Bq/X/6qha7Ns7xoXvaPPjcOMeXq2xoCsYqhpqnqTgazwVHCVRitVomh7T8SCdSTet8hYsSoFuCgDAWhHEC7Niydi8SdGNszBME1Ks9vvc1y3zfq1tcs0uzbsKh32+w0vUZBj6DwGUQeMk1s/kGpWC8HkH/8XWzR5vvmNr8aj3sr7zPr45/cwO83W4xP99GSX7oi3fd97tf/OJdU62VFnVfJYwpcFUqE9KkisaRgq5UtN06J9s+px+q8dDTPT52eZs3v6rHa28cMDXuEQx9hpFLELqEoZs5AlGsiCJJpCVxnAPctrGB0XlNmRAmy4had0bjuTG+F1L1AxrVPjF9vvSY5G/uHueZI2OI0GfHhGHjuGF6XDEz6bFhWrJpJmTbhjYn5jv82WfrRMMqW7YIxhsOzTo0ayHCDWj364w3TNKgAWEkmfQVkY7ohB6dXsxyW3Fqvsol5zV4+z9Z4Xf+1ufYfB1HhcmN4RBFFQaBZMOUzzUXtLn8vC7PHjvFh79S5c5HxzndqlL3FQ0P6q7BcyyhONKm84UoV9dpwGh708VaEBuIYmH981gQxDZJ1I8ta/djQxRG6DBgqtLjdbeu8NZbO7z8soixqkMQ2rLjYeARhC7DwGUYOgwDh2GoCGNJrCUYUEqw0urw1ONfXbe1Xf3d7edfH7VXTv+lEXXGxv7h5if+gwK83++zbl3zOx966NE/vuuuLzd10GaiYWtJcukryAumBFIaHAGeBF8JusqjFznMDSv83UM17n2mx0vv6vIz39Ph4m1t1o0rmjWHIPQIIpcocjKQW3Dbk6iNxBiSjp8U3CCFRiUpfseJ8L0IVwW0+yHz7ZA/+GSFI3MTPLZ3HKM9pqqCddOG6THBVFMxNe6yfkqyYSpi80yPqfFlvvi45tHnxrl8i2CiIWnUJM2apl4NEO4Q33dwlP37xkAcS/pDh/4gJNKCTl/T6RqW2i5nF5vcsLvL9Zes8KG7KlSXFI4MLSCNQxR7BKHt8Zwer/CS87u85IIuj7ziNMfmJX915zhzKzVOLvp4SlJ3BV4qw6QNPEXhMmhjga41REYQaQi1YBjDIIJAG4gjiEKkGrJpos/l2+31uPbimGbVIYrqtDqeBXZCQFZGps+SILLPUSyIYntNhmGF5XafMwv3TnUH3h9fsPuq5WDQ/8w/JCb/wQB+8OBB1q1brz720Y9csHff883BoM1Y3SWMDbG2Os8WSSVpeGmQkUGJxJ6LDL4S1By7DPZcn37kshjUuPPRMR54rk/dH/LPXt9i61TE9k19bri0gyMUjZqDEFau2KykrZU2psDcGIQ0KGE9c0MEMuLZI5I9+xw+93CDZ483CKIaDUcxUzVM1g0TNWN98KbD5JjD1Lhgw2TEppk+G2eWufeZIe/63Do2jjvMNKFZVzTrgkYtouoPeeB5xSBwcOsWVMYIgkhScRRX7erz0NPjtvCpH7PSdllY8ZldmODtb5jl5MIiDz0xgysBEaKBKHISdpR0+w4TjQrjzTrX7+rxist7fP8r59l3QvP5hys8vK/K84frRMJhOFT0QoXKSh+KgWeSEzCaSBuM1rgiZswLqBBy/dVddm4csGU65G2vHVL1FPWKZexWx7J1GDkEoZO8v8Rrj1QSI6nEAFB2hYiTFSMWhLGi02vT/tr9zZOnzl7wnd/1ZnX40KH4vPPP/+YB+L59e5mYmPAef/zRHwnC6PfmFxap+A5RbJARWbAXp3pQGpSwXSlKGlRscKXAjQ1enAA9Fgwd6MdOclTodGJ+90MTmChk/cyAS7YNmBqLePOr+mxbFxCGItHbEgrMTaI/pdQIKfj4PVWeOlRHOA7HTtc4NVujUlWM+YLxuqFZ0TQr0KgKxmqKZkMx0XCYGofp8Yj1UwM2r2sTmxU+/tUm/W6dC7cYmjVFoyZpVDWNSoTrBnzxoQrDnsRdBzIBUxhJ6lXF617a577HNd2hpNuPafccVjoOZxdrXLyzwZtf3uaxZ2scW2qgpAbCRC+7hLF1kwaBpDtwaHU9GtUa9eqQi7cMuG73gBNzLY6eWcFxY5487PCxr9QQyhauMTp/0GjATiQIg5jt6yPe+qo+082Y3dsN66cgjlyGQYMoclluJ6tnrAgjJwnwnTwmimQiIUX2dcreFuTJahEJtHFYWVli46bo9x5/7LHe9u3b379/395g90UXf3MA/OTJk8zPz+86ffrUnzzx+B7pOjIBlE25x5EhkjaQyetLDDIGFYMTQ6SMfY6FBXlsiLSgERuCWDDUgmHsMtQukYb5bpOvPKUxxHz6YTuyAaOTI83iJRaZSCsSJVIpotBBagfXkTR82DljqLuamq+p+VDzBfWqpFG1cmisIZlowtRYxMzEkE0zHWKW+YNPVLj/6XWcPwUTtYS9a5JGNaJWDajX+lSrNXwlUTLR4Fg5EIYug76gP4zpDBXdgabT17Zlru5xcnaMl10y5KffMsvvf8zh+IqPEBpjQnRsCCOXIJQMhi7dvqLRd6hXPGrVCjW/RsUPaVQDrrkwwHNDrr0w4m239nBUlCSBNEKYsihPJJ3WEiEkvqsAj8HQYXHZIY5TKWhXyyhOD0kUScJYEUXCgjxeA9hR8qzJmNx+33rsjzzyiNRG/slg0P/qcDh45h8Cm//LAL/j9k9Tr6nqkcMHb9v//EHhKIVBZACPhSESBqmtDSWTgCeSAiUNkYRI2ejdifMquChOonqd+NlaEGlDqCHSglBLQiOJtUOofWKTOjP5I8tSCnCEsFJIQaVqqDiGiorxXevqVDxD1RdUPUmtKqlVHAvwumC8oZlsRkyND1k32WXTukXe9TnNB+9cz9ZxxXRD06wrGjVFvQa1akyjGnJmUXPojE/Fszc0pJV+gkHgsHODZsP0gPbAoz8wCYtLVjoOjWqFRm2ct906x+EzZ3n3ZzbjSAeDJtaxPReRwzBQ9ANbFNWrSGoDh6rvUvVjWh0bY3hujOvEuG6MI22jhJQ2nS+Sw5au2Bp8C3JBSydVltrGNXEs0VolFqwFdaxt+UF6xJEkzJha5qBOwZwCW+fgjpNrqhE8/fTTotPp37Zl6/ZDn/zkp/q33famFxfgvaH0Widn/31rZfbfGz2Unmf9ZyElMk6aE6TV4bFMgJ4yuwIVCxxtkrs5kTPp14l9lX0vTbMnlXLWyxVZoFTU3ECSybO635EaJ6khdxW4SuA6xvrGjqDiSyqepOorqhVFoypp1Axj9ZjxRsRkc8j0RI9t6xd5+PkhH7pnExMVn/UNTbMmLLirknpFU69ENGpDHt4PT+6rccGMycp/07R5f6i4drfhwm19HnlmnN7Q0B/EdPtOAnKXWqVKtTLO9968xJPPz/HQ3g1gFFrHlggiQxSarJ6kP3SoDQzViqLiaXzPxfdifEfbEgjHlhirpM5HSnt9ECYrU7YAJx/HkR7a9qdah0pmGjpOUv/p11EsyzIkpiRJMg0ep+SVXndjb6pOT544efo/Tk7WvOmJxm8CwYsG8MGgJweDwa994mN/+3OLC2e9iudkgIxiW51nWdqgUmAnz7GyoHdik6WOU2BbDzvNPmLZOQG5TjJxabLCGEMh815acdNUdZrQUTLJWCpsNaJjGwZ8V+J7ioqvqPqCWlXQqBqatZixesR4Y8jUWJ9NM8s8tL/Pr/3Feo6fHOe8ac14DZpVRb2qqFegXompVkI8d0BrYIvFXGWQMn9nKeuFkUezGtKLNL2kzro3iOn0JK2qotbxqfgNdmwI+fUfafGrH5B8be96DAptNHGsieIoSaUrBoGi70uqQ0XFk/iewfcUvqNxXev3O8pYgKtkNU1kihCm3KCbpPbTGzJl9bRuPn0dJ7aiZfj0s4nMbowzxk6DywTQMYXrnSacLCZOnDrlTU81f/7mV3yb2+v1/kOtVvt7p/P/3gAfDloYE/zmoX33/augd6JS9VWSGbMfTEkbVEZaoKQFbAZ0lX+YOAW4NuiC45KC23q0YLQhTtjajByMADyR3YlMIglmbYLBUeTlto7E9ySeq6j4diRD1TfUK5pGLaZZCxlrBEw2+2yaWeGhfT1+9f3T7D8+yfZJ67A0qpJ6TVr2rhpqlZhaJSSMA/76rgZSKVxp3aKMwU3KdC7/9DXL3PFoQCfw6SUA7/YVna6i5TtUPB/fbbJ7a8Rv/Ngiv/J+wYPPrEcbSaxtWj2MbKHZMNAMK7bc1fcFFVfgezaz6Tkmy9g6SiOVlYpSGET6XGSI5ITm51tk8ioFuC4UrqWJtViDTtg6A3+2MqeGg8mfs2tuCkCXPP704Upt7Cv/7xu//dViabn9i5MTzf9/Ab44dwhjzPVnjj1arXkDlFRZmtwuQYJYgtIJ0OME6MaUwaxycGtlcvmh8/YrC3Rh6yhSUBtKzJ0+UoBLAUJap0YW2Ntx0roTietKW7/hCSq+nXlS82PqVQvuZj1gvNlnZrzFw/t6/Nr7Jnn22DRbJgRT9YI0qTjUK7Z+pVqJqPoBrjvk1OIErhIoqRNbLg8y41gSRYqNE4YoCmmHFdspM9T0BzGdgaTaU1Q8F8+t4DpjXLQl4jd+dJ5fei889Ny6RB5owtgQRnHC5Jqhr6kEkoGnMgnmuuA6aZufbSpxEkcrjZfSRWYE4xbcJEmhpGArTaBlUlELipWaKajz4q50BSYDdZG1i98LI0N/2Ofu+/ZUzztvx/X/KztO/L0A/kt/8Cn+7bu7tX996+c8V7SoVhzEMK9ei1I7MBYZwJXKq9i0FmhpiJMPq7VBOwlLl2SISQqkCnIkZZRzvDcp8iIq69iIDNxK2lnbuTyBigu+p6lWDFXf6udaNaRZCxiv95meaPHogQG/8p4Jnj42w6ZxxUxdM1YVNCqSWkVRqwqqFXtz2FR/wEN7Bd2BR0WRpMutBk+bEGItCCOHekVxw6UdHn62SS+0MqU/jOn1FR1f4XsKz/US/TzOxVs1v/0Tc/zCn8ODe9fZYFvrpFk678EcehLf05a9k9oUN7m57UEiU3IZJ5Ms79ogT8+7yLKf1j+3QC+utsVirkxa6uLqXPw6lSk6Mxhs/Yvg2OkV/vC9n/E+/K7Laqb1/p4Y+5H//QA/evQY27dvG/+F//LBP3v+RPvmjY0Az1HEscaQ2IMxxMICO9YJi8dWXsSKrD4k1qCVyJp9S6xdALTOgG0y5ibR3tnFELagSMgE3EmRkcoAbtPDrmOZzHPBczUVLymw8mOqibxoVIeMNfpMNNo8cXDIr7xngiePrmPDuMNMTTNWhXpFUK8qalVFLWPvmIof0agNuPdJj5VWhYmJPE2eAkYXkhzrphS3Xtnl3j3adtEEugByScWVVFwH1/FwnCpSai7eanjHT8zxC39ueHD/OkLtEKYVgLHJmNwPZVZd6DkSx0mKsKRAOem5IXt/6U2YShWRVqWRJ4RGD1141rrwnK28OZCzw6SrNjmDF4yFtNCrN4i5cHz55uUTc+/tef/in58+9ZqVTZu3/u8F+OzsWZaXln6hqU9/39LCgAnPxxjLAK4ypQYCW8mH1c7KlIFduttF5oikBUA5uM/B3CZvTk5BnuYvZKHGW6m8YtBR2PoMx+C6trG44mkqXky1ElGrhNQrQxq1AZNjLR57fsi///Npnji8nnXjLutqMWM1k4A7Ye+KpOpb9q/4ETU/INJDOoGPUBI3ZfBMgyc3emKzhaFL3RvYcoGgwkQK8kFMz7MM7nsS13FwnXQDWsNlOwy/889n+Xd/qnlw33pC7TCMBUGsExYXVEKN7xo8V+A5Olm9bMufSlY0e35EJulkIX4hsXsLpzsrWCuCOyOhAjGl4C6COgN9YZWOC9+LCl8LYUmku7TCXfctfd/FVzx9KI6C/+lmzv8pgJ86dYoNGzdt/+Bff+DyCW+FZnWM7iC2s0pkWvABMlmelDRZMFICdHa3i8wlKS57uhDUjNaT5Fa3yVm7GFSKPJnkyKRiUJK0vFlge47Jqgcrbpzo5pBqZchEs8dYvcNDeyN+8V3TPH54PTNjDjPVmLGKoZGAu1qxdmIK7qofU/EimvWAvUcN9zxWx5MSV9nOmuJeN+m5CGNFpB1uuSbkgvO6HDpeZaYGg8DYYxjTGyQs7Cgcx03a+Kx3fel2+O2fXOCX/lzz1WdnGIRVhrEkiAy1yEoW38WC3ElXL531tkoVZyuckqIAcFEAOav0Sg7yAvGY4qqbA9ykQC+t0GQAL31P5zGWFDbhNhzW+eojbQL96OU/8IM/vP3smdPHNmzc9A8P8Lm5s9RqzR3PPr3nvxG3vhPTs/1+RuCkAFP2xBspUNpkANbp6+wuFuUlLT1JWuQAZ8QlWeWWJMw9Cm5hkCq1BS0YHJWwtmPwHI3ranxX43sRFS+i4gfUKkMmx3osd3rc9wz89t9s4KmD00wn4B6vGhpVQb0iMq/cOi/asrdnAV71hwRxzKBfoaLsTSZFYeknzRaKJNB0rJZ3hgwDQz8UBYBrPC/Gcx1cV9qpAtLNAI6AK3YKfvufL/O7fxvx4L4pTreaDOqS8djQiAyVZOKA75rE+0+dFJOxdypVUoBn7zd500WcZ5o8uSgmu1amzOYZaZn8GhfAnN8EsMr6Tf6WFCAVLLc6nDi9+J1f+9pD8ZVXXPb/njl9+ujGTd8YyL9hgA87RyCsXNdZeu62sPs8k2MunpskDpLgxABGiuTDijKwTRKcJImakiuixZpSpAjw9BQXVWF6Eey4h5S9TVYKYKsGLXM7Sfubl5XHWnD7XgLuyS7zy33e8dc1PvO1GRa6E8yMSWYqCbgrdsmsJYFl1ZfUfJMwuNXeFT8AAu5+wmM59JjyKdVjI4pLutXhQejQ9B1edXWPh/YHdEKfsaSxdxBovKGtVfccC3BHGZR0EdImaDBw0VbJ7/9Mm88/1Oc337eekwsT9Mcdxj1BI9LUIvBDO3rZU3agkZsGmlJkQXD6XAzUizdmeo0zoBeuE+m1XAX2nN0zYI/o9tEbw/6t5FqHBqMFDz6yD7cydVssqn/d6/WP/oMyeBR2UU7twoVTX/lZ+o+yblKjTZxlKe3AmSToM6IkM/LnNPoWq35mCkuTSTNpKU2UHJNUd5MxS5puTl0AlQJcGRxpge2otLczxnNjPDei4oX4Xkij2sdxetz7ZMx7v9Dkc/evI9BN1jUF0xUrS6wFmPrkKjlEwtxF9g5xnCEPPDdOL3DYWEvfzyiDp7GILUiquIrrL+4TaQvwfijycQyBHbnmOqnFqRIg2uyjBZtgelzwfa/s0vBP874v9LnvuSnOhlV6FUkzMtQdY0HuJHGIMklcYhKQp+dQ5LXjEiQ5i4/uKFgEeRr0l8hJ2+9lQM4++2rwj1q/KWnFMQTCEISCz9/9DNt2Xvizb37jyx5vtXsHxppffyTc1wV4e/kYjz18D35lbFOvdfgV3W6HasVH6ygBmkGS39bpG0zlRp7yzYPIjLERJUbD5CfInjOxZooybVrIpUmalbMVg0qSTb5KmdtVthbDd0M8L6TiBtRqAzyvx9/c6fDOv1zHoflJXL/ChoZg0o9p+oa6D/Wkw77q22xnJUkI2fqVOFkJrDxZaMd0Aw9PKTxpsgAzff/2gieBZpLaDiKXqjtgw3iflV6DfiiScWs2VnDdOLH5VGJ3qsy/zgNXW/n4nS/vcu0l8/z2Xw344BdnWIrq9HyXuitpOrYGx3fAU2TNEE6a9EmL4DKpkmc4S5p8RJSXgZ42OFNejVPjgBFZali1aqd/QsY5kRkj6a0sc+j5fa+4+yvxpqWl1oH9B4+z+4Jt/2sANybmymuu2zF7et+7zhzZi8DBc2LS0pyiRsvjP5GxcVmCpFuO5IFjWkOS38FiRJaUH9kJl+kgzgLApbGzC0vMHScgj/AcK0l8b4jv9jk6G/Huz9f51FenODw7QbPmMlmBCT+m4Zsk9Z6CWybglllSqJJob9+zN06zPuSTDzgcOFalooTNGKYOCjnKszEOxurwMHK4aDt8x7Ud3nv7FN2aQzO0Q3X8IIkblMZxZDLZiwLI3cLFsqvCtmnJL/5gj8t3nuTPPzfJ4bNjLEVVeq5DXQlqCdA9aeyNk7hM2eqXntfUPsTq89wjL1+gYtxfkiiwSm6uZS/mMqf8L1t85TjzXMVDjz7H5Zdf/K4bX3bT61dW2l9XqrwgwIfDGM+TnD2xZ0t78dnzK848juPYUssXvCmK2S+RAT2TL0myIPsdk1/4nBGKlG1KOlBkjROmIJMsuK1rkrJ3jOtEtnPHifD9IZ4zpBMH/MlHPd73+Q2cWhxHqyqTY4pJzzDmaWoJc9ey9L1M6lQSaZJ45xm4PZu9HIYBB076dAOfCT9xcdKkU8qA6Y1sCjUpoUOz7rBzS4DyB3SCBn1PUA3tDBIvkVduIlGc1PUQ6hzBq2JmrMfbv7PHbbec5X2fb/Puj0+x0K/TdypUHEXNEVSVwY+MZXNppYoj8/KGNLs5yuSwhlwpIHNUn+dZ0Pz3dNElgwQfayXw7B+y70Nx+GSbBx957vxqxd/yqptfclRHIdJxOdfjBQGuw1PE1Gd8T360vbDHbdQ0QgSZRCh+IlNgJ0MqN0bZWhTYOgd3Dmyx6kMW7+JUEglSq6zI3kmVnIotwJ0YR8V4bkjFC/DcgNYg4IGnJH9zZ5OPf3WKQdzA8zymPMG4p6l7hppvqHk5uCu+xPclfiJNbGIocSYSgHuuzXweOWO479EaQeji182qADM7r5kGt1V6QahwXYdbr+3woS912X+yTr9i570MXYMXgRtq3ECjlLS+tRRIIfPhPinAU49dS2q+w/rxPv/ue3tcvG3IB+9ssGfvGPP9OgPl4boOFUdQleDLxEZN7VVpbD5BUDoYBXr6H1MGdno9i/HUqDs2yvClitA1wG5XE4cv3vOk+8pXXPfRM/OtK1da3fkXwvALAnzPwRk54T5x3Yz89Ni6iTli7ZXYtci8JYCbJPzRwk51KQaayf9vCsuR0WKNOzf/UJDq/EJhkNBZuafV3QZHxRbgKs7kiOOEtLoh9z8j+Ivbm9z52BhLrQayWqFRVYy7hqanqbmGmmeoeiSsbZm76ksqnqLiCSoeSYWeTsCt8V2rv5Uz5PmTcKpVsYmVRN+WEyd5jGL7IC3IIy0JAof1TcGFW/s8fTyiF7rJcB3wAptEc1WcSJQ0UQNypE4jvXlSGzKMbX34W2/t89qXLvPlxzt84ItN9uxtstip0ZIeXc/BUwJPCnxp+2MdaXCEyWp5pCBxy8QqgBfJrhRDFYBaBrXINfrIz3QJUyM3QaIETndi/uiDd4392s/cdN1VF59/Oy8wPOgFAX76zHF/Fv2nA//J+u5NA3qDGrFWOVgLQLUBYcrGIl+CEKvYOvvd7KScW/AIYbLnYoG+lSU60dwaJWOUjPFSN0OGzHci7n3U4Qv3N/jMfWPMteuISgW34dJ0YMy1nTxVl0R2QNUTySGTktNEd3sCP2XvFOBOhOdFVLwAY0Lufszn2Jkq05MCV+pEx4q80TdDQRKXZCWniv7QZft6wa1X9/jU1wK6oUs/FFRcgxdZFh+GprBKqcyvRsiSTLGHzBsVtPXbq/6Qt76yz7ddu8inv9rh8/fXuPepBnOtGn3h0fccHFfhCGFbCKXEFSaRWgaFKEhDVsVgo4+1pErJXCAPOFP2ToGvk5/F5K5cbOw8nXgQsrjweH3bxiv/FI5fDPT/XgB/6tmH8J0VJi9cpDZuT24YOUSxKjX2lg9ZAHN+pHclRZlCzvyrgF2yBE0B4DqxAzUiAbjjxHhOSKUSMhjG7D8FR08rPnzXGLfvaTK3XAe3gtN0qSlJwzU0HE3VtUOIKq4Fd8W1MwltmaksHCL5uUlArjOQe65tTzt0WvP0ER9cN1nmTSFFX7Ig8iXZpPXSgii245wv2znkki1d9p2q0a8IapHADw1DRWLt6YS9UzcltSBzrZL57IkVqbVKpg+4DAKXanXID79uyBtvWOGOR7t85Es1jp6usO9UjWDFJ/IdBo6DVNKm8wEneU6ZXCadUiLNR5wL5CWAF5pTsGMqUpDHBVDb301KNdC2Bom0JDFEdAdE/XkW5p8ZV86P/cByR793orF2xeE5AW7MPtEf9H723e/7r9OfvKdKxe/zkvN7uJ5EKkkc2nYpnXSxF1kdIxNpUmT5MqMXAb82a5ssoLSv0w4Uu8ODkjG+byepRnHM2UW46ysOh05WuefhKqeWqxw6XQffR9UcKo6i7hjqjrYugpsMznftuDYL4vSQyaESgJNo7gTcbozvWva2N1bAkXnYe7SGK8v2YCZRyOvBM/cgdVK0TGa7uFyyvc+F63o8cziiF7k0Qtt87UV2JqAqAFxKYTunCkxOkRV1QQbFMuuhDGOXoevRrAb809cMefnlbU4tt7n7EY/DJ3zueKzG6cUKcd9FS4fQUwgp7Uohkr9HkvFElD7fWixelC16lfSwJ6T42jZAJ88mhlBDGCNUiFQhL728z1tuHXLH3c+N3/LKzk87TvA+WFvlnpvBO59ABvH3HT8zX3/vJ8e5+5E6l54X8IprBlyyI2TjRMD5OzSOkUShnUOSLom5RJGFYDOth8697bXZO2WEXI4IkbZYWX3t+jFhbDh8QvD0YcVdD9d45ojHc0eqtId2ohKuh2q6tkNfQc3RVAs+sO+kdRpp2aytC/cTWeJ5Cs+TyQ1gcu3txsnQfavzK16I0QGzS5Kh8XEciZfMekltthECz0Aem3K/YxC5CBxmJgOkGtANXXqOsE5HmBeM2dHSxcxj0WiXuQzQMmfytGcylrixysZP9IYeGyYCtq0Puea8If2gzz870uKZox53PVTh6SMVDh+vEEYKfIWRCi1k4cNJsv2UVvnkqYdtynn+FMgk2R+SZnGyQvME2AaHmPN3DNk8EXLRzoBbrhlw2c6I87ZG/Nknnud33/1R9AvAeM2fvOeDX+RPP76kTs9+VXzkSzN0tMMTRzRPHY644+GAMTdi25aAy3YFvObaAa+8OgBtexyrDSABOVoShUUGFzmDj2LbFNha2nngQhiE1ISBoTewwD96UvK3d/r0QsUTz1U4eMJnoesxjD1wPFAuqqnwpKCqoKYMFYUdZ6aSwiNlWdtzhU16FMHtSrxElvge+B6Ja2JT5q6j8dwoyYiGVCsBc8sxdz3YoNXxmRgTOIkXLws4WL1CkpcuJFJiOFRMTylee8OAO/b0Od6q03ellSmOnR3jhqlnnXjsMrZ2IcVZJzL7G9o4hb9hge7FithRRK4ijB3C0LVWqhtS90JeflnE9RcPedMrBjx/QvLkXpd+oPjgXTWOnHVBSHp9hzhQafkmximK8rIcK+f3U3a2VC4ig9A6YW9NtWYTcoKYV90U8JqXDLh0V8D2zTFNVzBVl4BDELl8z82aTfufEtde8Qr1O//yc9Gm877jG2dwz534k8/c3bjibNsgawKtNVpHzA8i5jsRR5YjHnwm5KNfDpmZiDDacPWugLe+uk+c7A48M6656rKAegUwAvECCZx0lJuQhlZP8ORTLottW7X38F6Xz361wiBUDELFmbMeWjiExkULFxwH4Ts4UuIpQUUa6/Eq8JXBV8bWgDuJ5+vkzO2lfZkZuFXSoyky9vZcjeelBVpxxt6eF6JUwFceV3zqaw2U51i7raS/z83gqRdudbgduzAYuLzxxj6feaDNB+8eoxtVqCc63E11eJgmZUzWLSREeielZWiyoPULANdJB7xjmdx1FJHj4ESxBbqKUcoO0p+oRNy4O+KG3SFGDHnzK3sMQjvO7e++6vPIXo+qL1hoK558xqPdk4lKGvFFR5kMW1pbrxiuujJgejy2jS+x5q23DrhyV4jRMDNumBwXSCMxeESRQ6fnEMUOsVbUPMXLLxZXVMen/gRYc8uIVQCfX2wzPdlo/sl7P7W7LkK1vmboa0k3dhjGilh6GDdG64hhHDLb1syuxEDM88c1n/3KGBiN0YaxiZjrrghpVLTdOe2FUpTJEielYKWr2PO0R7ulkI5kqCVD41hmEo5tD5IOQjpIKXGloKKsl+tLjSfBUwmYVT6jz4Jc5A0Pjm0ESBuPi+C2DJ+U1bopg8eFI8J3QowJOLXgEQwr+GMSL0l7q6Qqr5TFLJYzmNxpSpk11nbc2URDsXU6wBMD+pFPPxJUHTsEM60hSRNaSo5s2JWOfoA8NtI6z55qXeiMl0lFY5zkDZRNkKmIMIpRoR0z4agYqSK2TOtkxdBcvG1AYPpIR9NqCfY87bDSk6g01hPiBa61rR6sVzTXXxEyNm4wkV3hq0qgSOdKKqJAoWNFpFUyssJJAmYbAw4iR4nGcPfOi29rxuFKW7njLwzw2dkFFpeWf+epZw+/stfrMOY7uJFN6/aloK8lgbbzSIzyksqZGExMZDQto4EYpKG9YjjzFVNYml4I3+ldLzBCoNMtF0hqToXKgxwpUcLO3POlfW+eNMkWJCaZf5IzXgpu17Ed9XbrPTJw27YuuyWK7wk8h6zE1DJ4wuKO3RPIdSJcN8T3Q04saP7qjjo4Hq4UeYCZyROxisGL1lk6JNSCzQ7VCUKXt722z6fv7fPcbINu7FKL7Ka0tgrQ5J04Ks0JkHnU2bnMYjZZKPBKD53VwjiOwo3tvBQ3AbpNnMXWglXWgrXBvU4GB8U4wiBMzHRN8+03GZBxZuta/fECJJ7ax7GLjkTmyoWBZJjEc2lcp7XKzk8UWxfPAtxhMBzQWT74yk7rxO8YHf3Lr8vgn/3CXUgpvfm5s/iuQMb2DUsBjgBfw1DDUAtCrYikRBvHaqi0TKygs2I3Ze70KH7KwlImBJAvs2nwIqTMWtCUAE/YtLInrBRwJIXntKm2UEjkUJiDQrbHT9pVnwNcZrLF90zW0uZ5ujA4J8JN2NtzQqQMOHZWMN+uIBwHX1KSJ1l6vpAUKToIeQdTMRBUBJHLVHPI9g199p0d0o8dBjH4sR1v50aJDo/InKU8ha5KnQp5FlEWGroLIx9ijRNrYiVRTrp9ucp2srNDgorA1iiRT8ayf1sXDIHCMKHkOpdxLrLPn1vGeWymCx5+DvBkpdGWAPJ9hhyCUDI3N0/nsS97a5HoKoCfOX3CRuV6gOekRGAzWEoYHA2utkCPNARGEBk7mTSWkmJNMJiCKkmtkwLIi5oxq+1OLahk3ENyY7nCOhOONFmNR/o6+15C9nkpKFmDraeEBXsJ3NI+eynQ0+CTbHtCL2mSSCWK61h96nkhESGff6DK7HwVd0zhFWs4ig4KI2RWKjoSI0GgYjC0E2zfcFOXB54a0I4q9ByHaqQJknS6knlBVFpwZoGW/qU00MwTJdY6TGaqGIiV/ZuOFkRK4MQy2cXOlj2kQM8BbnKgJ5lkUchNlAAOcA6QF7PeZZCTgLsIcpFJqThWdo+hZGxcOv+w3Y+Yb51ec7EoAfydf/5JKhX/ZQ8/uOfalU6U9FbaZTG176RO5gkmDcWeSbrlk6xTnJn2hTedskh2D69O9crkkqSJBIUFdjq7IwW7krnGVSmwpd1PPh2FUAR2NgdFYfsR1wJ4GnCmuttJZYlJ9Ha5ltxzQzw34GxL89jBKjgeTiJPnEKBUprtEyMIt45SXj+dtu9lWcdYEYYuV18wZGq8T2u5Ri9S1BS4kf0sKrZDS1VYBDgW5NkfkuUa+6z23oJIK02sBa4WxEoSK02sBFEC8qhQvJaWQ8jUIUpBnQS7QhgkyRaGheKsVKqUfZV8Zcky3Wk5R+K+5RO1CgDXKrM7U8sTBLXKgPUbutdefdPlL4vf9Ff3q+Y/XRvgEgWab1/umKuW2iHNmmNlcPKmiqPQ0nEQjjZomTARhW4N8uzVaBFOEeCykAkTJIxEDupiHYQUZNpTFsCegtw2F6edKlaWqKx7JQd22nxr2TvR3A6Z3k4tQcvYObjdrDoxRBDyua/6PPBMA+k7eFLY+dtZBWHeRpdn+kazmaJ0Ia0nroi1oj9wueHSPt/x8g7v/lyDIPbpxpJKbPfKcWRerZjJFCkTFi/+qXMxOWhHZiPTUnDHSqKUtowuJVKZgu1ZAHmpZKLM3rII6iLQi6cgZW+gXF6dM3p6TjKQZ1IlkXPaLpNVp0+zFlzVXVLfrmPn/jUZ/Oixk4yP1V/7kU9++QfNYImxmsRJRjykcXmaMZMC4nRfdJGmXItdOUn5Y9rnMwLuTJ1QLsOU5MBQhZqHrHxTpF07o0AnYXCyNqwSiyfdMK4qg9uOUxhh7qRn00va21wnbTiICkdIQMhH7m4SGx+VZS+LAWbe15g6GyUNjig05SYXMrELbbDpIHB566t6/PXnh6zokH5coR8L3IiMxaU0yEhkRWfWLhzVorJgTYoCyAWxk8wmUQnIHYPSVq7E0iCVJpIycWxkDugCi2cMnjK3KKTvRwFeeowyORnAs66vEsBTNhcJg9sbIowqHDkWEEj1gzt2v+6e5cXTd0xMbSoDXOuIIAgvUPTPr6oefsMhjOzUV5F2Voi0RNVm0bTGzhssaEpjBDq1w16wcyFhbPJ/F3LGKz6r4rKfgjt7nc/2SPekUQm4lRoZdpMA21Eid1IyO9B23NvGZJNtYZgyt1Ngb98NeOyg5MDpCka5KCnxpLaSShQlSr40jboo6ZE3Zo8uyYowcjl/U8gl53X52vNVQuXRjwQVCW5scCIbFymRdOFEiQ5Hkiz2I7JIjAS3OZvHWWWjrXeJ092mY7sLh0pGQKfsbYEuCwDP2wfTmSrF6yrWdFVs7UKxyaVYv5StbFmdexngdr6jIIpdWp0Y1QjO37RzeEEQRHesYvBup0UcBUhCxhp2u4l+GrQIIDa5jBDG2lsClMnrC/QIqF+4Mydn9NGlPP+6HEhl7oQEJUTePS/IOl1SJk/3vSxu/50CvDj8x3bbkwE7y1ZmzB0n24UnwaUTYgj52N01FherCN/Bk+CO3ohrBZglH7zYcJvXcccFxyAMHaYnJW+5tcNjB5sM4wo95VGNrRZPy1mVJAF3ulboxBNPHa1Eqozo8awpvDCJytEkUildkWzzttJpLZDMkkx2xaDE4qJAWDmT5/JkjQR2ASerb8LS0M8RBg8ju4HtIJCsdGBxOWBhYYnhcLhaojz20BdwlGBxrk2j5tHuaqI4PQkFp0/Y4Djd87E0w2T0DZvVC9MosPMgzGQSpZgBLGpaVRrqM8LgKn/O5YpEOWWAe04yAMhNtw5MMpyOwc1S8Tp5HZcOR9nOneeOwUfvbDCUHkqqJHtZnskymsFc68KmJFDW4YkWTzxfP3Z4y2sG/MXtPZ46XCVULj0p8WKduEfWyhUZEZikvaxoy+rkb5X3LSoyeQ5uO2nM0akU1Mg4HTGRj1y2joosafF8hc9LnFdJlRGQl+Izk1uI6Y1YnGybV0jmE2yjSNh9UyPJY0/u54lnT1K0Cx2AY8dPsW3rptrnP/1nO8/MLpSSE7lMSJyUxDGxez6mh0k0d5m1i4VVrHUnpzKlAPTR4Cxd6lPgZExeHHdQGH9QnNrkOOkmr4n2ViPgTtP3btqYrO3MkKxFLO3pjJIjRLkBB045dAIPlJPIEzNSHlu+eVe5KAU5Z0a98KQbJ0/8ONRdwe7NA546EBBrn772qMS2ZttJNLgSduSZvXap7tWkQWbRw8qrP209jJON8LDfU0llqs2YWsaOtcnOdzp2OZK56VAONAttbiJDQmIbilVypVRVmhkUYuQciZKHX/p5UrM1HIZsWjex8+d+5u21f/2zP9abmNxgAb6wMEuv135NJ5j5hcMn9tvZcDoHbQ46AdIgMuYeuWAjd2WJvwt3bhHco2BI66dLAC+AuziWrfSs8iGbsiBLirsYu4rEC7fgtgDOhwK5RXlSZG+V9HV6AUsdzX//RIPFfgXhu1aeyDzwTUcvFD/XuR55v2Leo5ozuHVUosihWXP4qe/u8OXHmiwOPQLp0JcSL+mhzEc+pEF7DiJr2yVOCjoBt50jWXZWRMLgJgvSU7CrFNRZAVnK4oWNxdKfYbuusjrxog4/lx43haeSjEpvyHJSTOtcs8tkKkDFk0w1Yy7fvf4Xjh45cP9w0P90xuALZ/fjuh4mOMVUM+D4rKQ/SCe9kmVdZYJCYwwy9bVHmHsU12sCvPCBy8ydd79kHd0iB03qTqQrSgZwlY8fUwVQO1LiJJLEyQCeam6dBZWuozNwu0kvZ96Rb8HtqhDPC/jw3S7PHqqCdJFS4qfjKgoWat6/aD/cOasJC+SQT/7KQR5p23IWRS6Xnd/jO1/e5i9ur6Adn7708KXIkj5KCkKRJphWM7koMnmpwyqvidEKlLGrgjZ2MnA629HOexeJ9hZJYJv77yno7Q565FZhYaxIDmxxzhs/l26FZFCSV8lcFlJwW7KSUhPFcORUwKNPHmW5bQgCuzGEA7B7u12K1jd6nDq1wEP7JogjheeUwUgSVJpkxJHdNSxNuX9jDxtlC2Sq54sMLhkBuCi1fX1dgGcDJcVIoicFuLFzshMp4qrcLXELw4FyzW3Z23Xs1KrllubvvtJgoeVDxR2RJ+eWKIiRC1pa+UZsu0KNuE4kShg5TDQV/+SVPT7zwIDFrk+gHPqxTOzJBHBC5IDLCCXX4cbkXT86Y/M8jlIm0eFK4Bhb9ay1fY5VIbiXhjj5m+lepzLR/VnQmY59K85VWZX0eeFH3oRuCv0E+UeSSQDccAyN2pAH93ZZObmD2oRHf2AlmXPm9LN4lekdK7P3/vQDT+/jw/c7tJYU65smB1BxuU3NXFF4EwVWGmXtwhPFiaX5xU+tQkFZe6cbWRWW/ez9FOWJyDtcEtZWRWCrfC96J2VuVWDuVQyejpvIR044ymYujxwVPH+sgsZHSOueOCIvHSg7KKLgauTL1mggngdUxZQ9Oci1JIodMA4XbQ84f+OAxX1VTOxZFo+tTHEKLk7WMEKx0CsR3GkZLSSNBYI8+AQj87mRxdhGJTvk6YJczLaF1KLA3qYg0YpNyvb9jMZfJO8zRdNo5UomU1YRZZITUTbbPDMx4Htfu8xnHtpLY2LXT7/ttbc88Z1v2HvUOT5rmBgbbvjKo+q1v/G+iGE4wcZ68k+a1TqZ0pvLC8PO1RY/Ol4gvdijQaVgRHuXGDzvXCkOtc+eFTlzZz548Ui2tFZFcBdAnuxX76qEtRP2VsnXjhOiVMjnv9bgwEIVvFyeFN2T0c8zOi5iFUMVYpmS/5vtblYoow0czpsOeMMNPR55rgbaJYqtFneT0gkZl6VSDjBTuEgJyJP5kaURekagZfJaJquKTA977uNkxbDALsZGyQqscyZPZVJKYBRuthwPxRP0wtyeleelN2zhJgkih4s215l+9XHW7ei8tuJ0N2yaGh51jFZgJHHoUaPKxnFbIuqoNGIua8ocsN/AQvN1dDcF5i46JsWgtpgVLAI7kylKFJpwC+BO5hPm23awGthOPiAoG/Hm6ATkkZUnKqRaC/jafsWnv1KnP/Cg5uBIgSvK0mQ0wGTks651wUr6e8QyLPriYeQw1nB40y0Dbn+gx8P7PUzdpR/7SYVlWpxWZM9EEpaWXQvy0sqLzm8wZdk8llaPpwCPs+yxSFjc5NcnkyojOYCRI7/+ogz0bwDfOY6KQ1dBCwhjSafvEUbjCHxcUcNoB4yLU/dCqk7AdCNm+0x+Z+QJk+KSO7q8rP0uSvfkaAQtROnfsIM7i7ZkkcVFIcAUBS2eSxOZpullISBSxbJZ2/6WjlB2kk2YHFUGupuxtT2UsgGm5wWEQcztD9Z47ngNXBchVVa2q1LGlDmLrVVFWFoBi6xNOmp4tReel4paLR4EDhdvi3jdTV2ePFplGHnE0qWvFV5M/l4yokj8aFaD3Iy8F1R6s2m0EqjUhpMCo7Cmgs6Bnl0bXZhlqPNVo3gN89EfRfyY0kr+gjgvypkCgeS5F0WsBf2hQ6fr4ky56IomGIKz56GPUq0oDh7t4ygXpUSBTbEzo1l9J5b+vsjfVuHlqtflJVwUWE7kS5wQhRNTAHcB2CUPvFAmmwM8n5yaSZQE3HbGn8mY2sme89duElw6KsT3Ap45JrjjgRq9vgd1FynSysFiTcwaWcwC0xQvXVqLYtGVjpseSfoUG5KTAqwgdGk0Al5345DP3DvgycM+OB4DLfFSLW4b0Au1ISSlFhYcxEWw58A2xq58mXSRls3TVSVLriVAz3esFghdvMmLsZTNm2Q6XKY4SPzwteRrCVNm5Gv7G+m/rUU63zGf4OsoyQOPPsLKg8/hiBjnb2/vARKhQxxpx+umEbBM/mImTxIGHgXvKrYu3nnp7xeW60yHp9+TohxcZidqhMGT9HxaCzPK2na6VeG1U5wPno4MTsCdHG46hTYp8HdUZA8nxHVDIhPzufur3PdMFSoOSNvQ7BZKeEulscWj+MUaj9WTVUW2G3nqqKSBZgr04cDlFZf1eMPLejx7rEIUuRih6AsHN87fj4hzFl/9NspMXhxir1TK3JbN7dcCqUWmw1Ogy8RhyXIXWSZ1RG6mWNCmTG7F80RyE5bAXqCGghLQRbLU5ZXfUTGXb1mi4q+gNTjrxyRC2tEPYWATJKW7aZVmHgXxGm+i8HX2hkekSTlbWt46o8jaImPttdL0hSPZscDJGLxwpMydMrkqAjvOnBPrmNhnpUI8N+SJo5KP3t0APJAuQijcLLljsuKqcomBGFnVRIG7RYaxoqOS1YSYtB9Ro2PbumdZSmXpe2Mc3vqqPnc9OGDPITtJINSKXiySgq8EYHHC2iOZxCLIjTGWxYtATw6VgF7LxH5Ng2JdyCybQoBpElDrwrmQhWrRItlleCoOVhUlHK0iywKzF/GU/lCkZNzycF0XYwzOzLiDkJIgMPT6Kgk20k6cVKuVwXlurb369/Ln/K4tafqRoDJtTxMFzzsFeFYfPgLyfDuOnLnzAfhFoBdYu/DspPpbpfo7wnUjwjjinoerPH2wCq4L0gaXXsEaXCXnSjKsxEEl/jSFF1kDRDGzWKqik2iVdrU4DAOXS88f8IrrLIv3Y8viQ+Ex0ODEuW0n49QuNBCP3GSZv1zeLTplcKMMMvHHjbGBqDACI0AakbF4BnBZvtGlAKEL1zdL/oys5GsS6Kg8KeJptcWRTQqLJL2hg3IcMAZn83oPJSW9PswthgxDbXdHM5DPD0xhPsLYhbsu/1EaUIjc9yzefSWLUJQYvKi7S1F5+lwIerM9eAq6Owe7yZ5T5k7nhTsZqPMJtMopADyRKJ4TcuCM4AO3NxiGLtTcRJ6QtaapUuaw4JyUlqoRJiigvAj00mBKLcp6fJUWd6j7kh96XY/P3Vdn/yl788Va0YuVrTKMk+QPwi79cTKWIwNPuqbkVzgNNmVBOqlEo0tjtxIR0upzC3CRySBpRBJkFgBfALMUSTZylABEGTtFQnxBQi2QBdi4IIoFvYEm0iSrlUF9+mO/sn5mSv+X2bOnL1ru2MbUNAAouReyoIOFSDJaIktopK+tPi541iUHpDD6V8rE2ku/lzwrWbL8smeVW4Cq1HNZeO3ohLFT77sI7lx/u6ViqmT3ByfMmhlcJyCWAX/x2Rp/fcc4+D6oCko51JSdueIpk1UmummTc9Ial2dSV2dY87LeUYlFYYh/HkcICVIV28Xsa2E0WzcEnFqQPPq0RyQkCIUWCiFsKW3R+RrVvilMRAkwopTPKN58xcpQM6LdrdQpJ2WK8UXpBmaN3R2y308GRFHICRT+7XJpQ2GIflbPDkEAx2eHTG27fMN5l9/wJeddnzg7Pj/Xff2+Z7qsG6taCSFBvMDE19JdlN1dYo1lRpRYLbcDy8y9ygsvFlelUkRQmhaV76KWsnfO2pk8KYE73c7EjEiStFIwZe8Q1wl5/rTkQ1+ugXRAWvbOOveL3UTFFQZGAEWJ2a23VWbv8hYfhe1ekovmGDuCLU67zGNFrBItHjt87609PnVPjb0nXZABRkiG2qWfyJMs0EumI4hYUIRqCk67zCfNB4l1qZLfSBtarAbP2dpqcJNkMhN/3OQSVI8wuDUUVp+fUUm72l3Jv7FKmhRvQqBeFVx/aYfLrzz1+onJ4bjTbUG3DYM+RHWD68g1HZJV4B4NBMRa+rsMaPtr5/C80+eCn6xKYC/PGxkFd3FXtfIGVCaTJm4yethxkmH5qd+tIjt+OZEnsYr47P119h7ItbcU0nrfWQfNyPstLLul8t9VfkA56TvagLyWJ552vutYEss0hW+lysUXDHnjy7oc+pBPECsQdvJTD5FMg01HHQskhjC7uGWQ5++rCHLbyG1kGnAW5Is0SUUiGAFaWuBrvZZEKYBdF85VSYsX1NxoDHcOcI+eT4G9XBXPx8VHaRfnoq0e0xWf4ZKHchTFz3+O7Ps577ByMFAGMhTtRrF2QDLC4EIUumRUqr2L2wRSBrcsMHh25Luspan3bIsTqXFkOjTfTqp13ZDDZxT/45NNBtJNGNwpdM2nXUTFdHiRqdcQjGtdlNLynbgZWVnoaNtWoR8xG4TjEMUufhzxL2/r8ol7ahw67YAKQTuEwrK4itMbLtfj+Rssgjz5ngGV+vPSgl0mAbCUxmY3jckDzwJzm+R8aGn/H13yxEfIrcDeWbXhKgUw8rU497lMH7GGVsfFqVcYb1dxNs6Ag+DEhMMgUGhtCi7KWugu31X2qTjbpBAgZB8kvwFkskTJ4lK1hjQRo6wtTEmayKTbJLcIyzLFKfnbOgO1UiOuiUrHk0U4TkA70Lz7M01OzfmgnMQalNmAoaLvnb0ufA4x8rlLGcxzsE9Jgxoz4qKkelNmR9YMIRVx5LB5ZshPfGeH3/6ARyu0AYExkqFW1jaMRQbyYrCJyEGe+uDpFASTgZgkq5l8LdMqUgtiKZIANGFpWQR7co21yMlttZVqf17Cz8g5GyXUcwHcTgqDlVZMfSFiEEU4ra6m29fWFFeCaOR/GMHyGgAXpbtxtTwpA7l4jLJ2ccnPMmMlcKeAL8qSfNNXC3BdArgFv0Y5BdZOd0lIWFul2tsP+eDnfN71sSZD7dr1TqhMnmRNxWsVWDEazK0V85/7wuRWYRH0iSeuTTL8dCSFr+1W4BUn4u1v7vL8MY/3fdZqcVDEQjLQiZsSp+/LZMDOxVNZNJFu6UjK5vkNKI1lcZO0LBpJJlOESIK+lKRMmra3N0CWpCmURY/mRUYZuxznvQBRmBzgUgrqFUmjLnBaHUm7JwlCWzMtZV5sPkLc52TxUZaGsg5lLWAXPmixhqOsbwuzUbKumcKWgaroOugSyHOgxwmw7RiyrM5EFfS3srMGl5bhE1+usTxMwW0B7kqs9y1G5Ulx5UmWY8qAHz15Ra09CvJSVV+69WKxJzGrE7daXGmF1lZzj3kxt726x6fur7HYUSBD0IoQh4EQWZ3K6M1Y0qTZe7RMrlK8S7t9SarLjbHnPL0ptRSZ1jfGqiDL2vaGMoUUvUgCbVMEcSHjyiiWClhb63yuAjl2wFO9quxcn3pVMuyLLC2/akldY3kY1dxrBQqjvnD6vZLmLrRZFb8usrdKUr8l7Z21TxVAngaYKUPLHNyqkLVUKi6wdoG9axGf+0qFh5+uogvaW0lZKKwq15ucEzCFQ4ycu9W0YQo2XGF7c5MyeHHX6CToNBJV8MWj2MXREddfFvAdL+3xV5/3QAUgJEYIhtpBiSToJJEqogzq7L2Qi5Y08aSSn0hjb/Aim1uJkpC+TICdLBIpq2vDqkA8/RkFrOTy1qxmbrEad6OEm87Z18bQH1pl4rR7Md2+JoztPG2BSFv41lweVgeYq59L4Gbkw6XfK8zvywuUCt3hGXubAoOvIVEKgWUR3Ol2gkrl2lupOJEoCchlhJJ28Puh45IPfK7B2Y6XFOTYQe9KYLtmSsA+V0moeEH2XsU4KZhGPN7RDXN1MoHWaJ1sXmWZXCWltEra7U/W12N++Du63P+0z6FZCSIEFBrJQMhsEymSc00qWUZAnr45JfPg0xhS8W0LsdIqyPS1SPwYATrp6DGpF5+sAmltesbYqcTNNvdNa9cp/KyIQ1MIGwqpelO+CVwlaNQkzbrEadYlwcD6mIbVd9o3CupRcK/92mSBR9FekyUGX1t7p53cUpWliiN18j1TAnc5oNQFwFtL0JFWmnheyDDW/NmHm9z3WDXRaY7V3lImXTvk80cKXeSrAswRJh+1UotYX53BzKsMUy1eHOmWzTAxMpn3XRgtHGsi6aAih1dcE/CTb23za3/mMYykzUBpSZS4KrJQnPRCTE7huwaru0k1d8rukjxuEEmvbvJvGzEqXYqNEGtgA3sSMi1uzoEzoFxfU74R0hWjOzC4PY3T6kR0ujFBqHHcsowoSY81QH6uoGBNYIvV/3axf1DKvAot2+S1xOJFaZJKFV1i79Xg1sn3i363zoNLGeF6EXfvcfnUfTWGgQtVx2pvqTL2zmYfinPMHSzYX8UVT5AGdmvTd9GkyzfPLYLbdtJk2bvEE1cJg0stUQWgR5FDtRZx2yv63Hlfn7v2KGsbCtu1EAqHPgVHxYx2++QgT12TdOlH5ro898ETYEMSdIrMKkxdMrtjZIGl11r5iqt+CU95Vr24IhaJt/j/yIRxfBfG65qJRoyzsKJptTVhpLMajyzoOweIi0CX5wR5cU/5nLWhzNjl6VWFTu0s0aNL2nsU7Dm4E1A7uSWYSxOd+d+Z9pZ2SuxK1/C5+2vsP1Ox0kTYkliRJXYoTJBaXfOdPWefXRSA/gL6JAW3SVFgChIllyqpFk7rUkxaaVgoo5VCIWONlA7h0GH3hpDveHmXh/d6tAJpTzRWjwcoK1UY1eJleWIvrP063bUhS/7IwnuUBTYXJgsudVK/IlMtXmpsMdk5o5TZLDdHjIK4xN5Wqpd+J9XglQpMNAXT4xJn3YSLJ1y6Sw5Vv/gPlQFbkiBr3EmkrJD+3ojPnX0wChZbBpgyk5fAPqK700bTtDbDUcnU08QCLOvuOGPvnMUT5nYiNDF/+fkq7/pkAyMc63snzollbytPSpbgSHHVKuZOL1SBcc7F3sVRG2UvvChTiq1sqWUoE9vQpu611Ikmt1sESqV5+5t6HDzt8q5POYRRUmOgJRrBQEjbO5n99RQtZSZPmzLS96dSpsa2xmXvucDmFtAmAVzijSfFWCKZqZOuegYQCSqzDqTMxUylSnG+4Vo3gCj8jiGOBUGgmV2UxFLhnLclotMMEYOI3tBhENil8VyALi8fq++01RKlDAbL3HkWUI58Lwd3AmZZ1uFylLVl4nOne9WnM7rTTWJTcGfSJELJENcLOXhW8ql76nS7LlRVzt5F56TYlibKCZ5zfeb0G18vyZMyeKmYKAN7AvSk0cAGl1aylLp+0gms0mpxKe1Mw0Y95k239Lj9q1UOnkkyZFg2j7VggB3RaVvN1mZylcBKFd5c6nunkiUNLrWxjpeRefbSpPpbiKSGJZdzKalhUrAXKzJFRpbfCOGmp1wbwzA0LC4PaU4PaQ0DnAu2dem02wzbbQ6drABFKVFk5zKo1woAypo9X4ayi1/au704MbY4/svKkqL2zmVJun2eOSe4s62uM6dEj0gTW2A1DDV3PlTny49XwVdJYOmsYu/0fSiRB0yZ5KKgvwsr2bmI+4WRnh+l0tmCk2JGQZ2weKrHYyGRsUIKRThUvPqqgFdf3+fEF1yG2lYbpls8RsJhYEBqUXgDxWWnmOXLmVyRfHBNwT3J3RljrLw0wpZjWPMlWQu0Ba4U9kYpjZQosHZpfkrC9iT9nrn1WpY76buNY8OppZCJZYgrEmdi6+TK/NPLtz/2vPyu4VDjuSobIJ+6Gi8I6hLATRnsmfYuBpnl2XWjskSkbknWuV3Q3sr+LAO5KgA7y2IWgV2uM5HSdupIL+LePR7vfP8YsXHAcZOKQdv84Yq8qEqJUQYvgHykniY9H6OS5YXYO2NxyjJFZ3544o2T1KmkTcmiDHKtJVooYq2R2iGK7P5C//5H2uw/6XDvIxLt5SxutNXj2XumKFlGQJ6AWKXuiklyFKThgzW6Uy9cJvXYJiEAU7jeQogsGZR3+4wAnVRrp+dvpJWtwPBCpCXZth9zelzy8ms8xja6tzcmZ1bU/uMXdu96YHBocaXyk67SVH1Z2KauWKpaTKPnUiLzrUd/p1Damutoynq6UO9dDB5lQZYoVfS5C6BWBfYugFsWUvHF5E6x1/LkkuCdHxjj/sfrNuSWXgZwRwqqkmRDqXJ57NpHUveeDckpHzKpeU+nb6WN0kKUmzeyho9SDY5ZdV5F4cYXpbncRScqGYJpDNNTEb5jePgpj5X+aNAgkyaENOgEkaForXVIlF+Z8q0weouU68gL29lkd3j5309LFrL/p/iceN+rSCHZVFgKW2s/1pBceWGdXRs6PzypDu93Ltpu57Pp2H5cNxlxplQaWOX2Tukjlpi8wPIlBl/N3NmFKLJi8rVKdwooBJT5DZIX/SuVa+zULpQyAXeit+1zkqmUeTls7MV84DNjfPordUwl1d1WnmTsXdLeZf1ddk+K9TZFLbcaF8VvmZEfmgIzlpM+hfqUpME3G0Ap8+0+9KizkkiVWDjIfsxtr+zz3GGX33mPQ+BHBd0p0MZlmFZDpQgsDp3Eetr5e7e1LSk+UxPIOiImKZcVmXNiyBk9Cy6zc1aMz4oTsFavgOWAuBzjpTeFEJpOFw6ekJycc9Da4GxeZ7fpi0JBEOSVeenFzLegWH2hSm9gLZ3+AsDOAF5gnPLk0kI6Pt0uYyTAzGRKUmeipLbdL6rgnMgYmdWcxNz1iM/7v1BnECdT8GV6WO2d7uZWyqIWgL4qTzB6UDhKJ2ttrZIzVa5zS100CaCNzGtSjCzMT5GFOhVhkHEiVYRGJHLFdzU/8oYuDz7pcdfj1i5MpQoIYhwCY4POYjtbRpeFZJBJvjZYAgAyTU4iXRAmAb09IUbkqfl8nIXIrL4iGaZBZ2rqCLP6jI0Gn1LbLXViLRgGMcPIwXNt0OlMNiIL8ChmMIwxyU4AxWsiCv94+aqtHmq+lntSBLlYC9QF12RN7Z2xd9k9kcUMZVFzy9gyuoqQMknJOyG9Ifzme8c4fMrHOOXAUgiBmwaXo6l5Ocrca4A5O08jJ610vlYvyaPLcNFR0Wl9CgZNYQpsKcsp0ELa3dOkzveWlMruaqwdZKA5b3PIf/ixFg/+vE9nkHwAnQoTSSQVA52uRAm6ZPImJKT70qjkY5jCzzMrX6S2YZofMQXrMD93ZhToKawyHJkyc48uf+dSUaEmjg2DMMR1jAX4lk1NpFQMBm2WljoMQ5c4LjNPegHIOabM4kWQFyTNKmCLxEmBgi1o1gZ4BnKdy5L0a5Wy92pwZ9JEpq+t7o5i+OOPN3h8X8V63kk6Hml3UB5l7yy4xKyu9y4w9CqfX+RDN1eztlnjeznIi2xuQW5WS5W1GiKSnQ+klmihiYVEaIkUSYubcJBac/VFIT/1PS3+24fHCeKUxUWmNSKtGCTvO6sZTwFfALkRqYVoa1GUNlmAaSCd6WmDSWmtw6SMpUQQJaBnMiPBVOFUFVm8NKZ75ATGGnoDzcy6BtVmgyiOcXZd8To8v8Hc6SfptD+PNk4mx9J/sbxJ0Oo/MEpW5U6XNazBgtYuglysYu6cvUc3Is0DzIJNqCxzpxJFptWClZgvPVThfR9v0Oq74KXa27Xau8DeqzZYlfnNWpYmq9PziEKCJ1flZUiPnL9RusgSQAkt5ho8kSamIE3SxI80GGP31ZFS2m4aLYmFQkpt61UiRbOi+fE393j0WZ87v6agFiWgTQ4piLRkAKS73pduykTvqkS6km5sLQs6Pb1fCvrbJAVaKa6ygNaUgW4li8jJcjWXZjd+ceUjuZliDZ1ByG0vv4aXX38FK60uzsEzDtWq4sAhxcEjigu3CLu7bUGG6cLMDlNgmFUMXqo3WMsazMcslHbnKrL4iOaWa4E72U46B3chmZOyeSZNIvYddfgfH21wcMG1bfAilyZrs/c50vHn1NvlpM6qZbX4SBXAaC1KIT1f6lrPZEmasl/N4mkySKaFWcIghERLW1Jrr4WDDA3nT0b8y7d0OHrW4cApgXEKABdgcImMZGBSxi4gLRXJKZsLk31Ok3rlSccPOgd7LldsAMroOTSUV0GzymApB98ZLu1qkafqJRfviLj24oiLdho6HY0zUfOp1XyalSpG+8TGUPV05n/Ho61TOt/7cvTCjWrvfPkpAvvcDF5k7ZzJR0cm6DLQVaq3U/aOkNIenh9ytiX4zfc0+dTdNYzrlHS31d7k7F3wvPMNVss+92jnfDGip/i90tK2mqXLlL3660xrF37F1ncU2tqyFH7ujcfJ7BKZanFRCDpjjSs1t72yT2so+YXfl8yuCPATJOqEjbVLkGrs9PsFYGc3oLB9myrdCkgXCq8SFpfpx9JpAtEkProoA3sE6Odib10Att2Zzv6iFFDxDCau0uk2aXXqdDoG2agq6rXK2elxeceunWPUK0Pq1ZBqJcL37DbWaRlqUSuP6s8coOlynidGij736srAZO9zVQCuMIU90guWYPF3lM5BPcLcUtqZ3gGazz5Q5UuP1PJak8QxsUCXOMJ63nm3zlrD7Fm77zK9GNkKJlaBuXyxxGowjzJ4ibnTvXugVB+esHbG3ikJGYkpFGFl5bRa2T3qk4pDYSSveWmfN97UxxMxRBGYCHRymAhjDIGGgYbACEItiDREBrvTcLp9u7YbAUfJTm3pRlHFrQnjwn6cugBMbcpMnE/1Ggm4C8DWGnRs928NIsMwhH4AvSG0uhGxHKfV5Q4hvbNBJFH/9ff/gH/141euNOvRyvRY+wca7lFq1VQOpBcgn4lEuiRDaVTw6l7K0WRFuROn3MSQZi/TdHue1MmcE2Vlicyyl3FBhxf6KxNwa6n5zH1V/vO7xjhyxk+aGByb1FHJKIgsqWMH+TiJg5KWx6agz8sE8q0M8yRYYV6iyKfeZgOQZHmmeTqGTshCtrhwjH5d3Fxq1JMv1vfINHhf1eU/OnXLLguTzZiLLwg5Mac4cNxBm9L/lC1N6Xayxd0qhEhRMKLHVmm08g1fvM+LrFyMXNZc3QqukjYQG0OkIYhgEAp6oWS5Jzm1qNm2fQeV+ti/vn/PgYdu+46b7R49rcEyUlXo9hdodebYNFWjVqmy0qmitUcUy4K+TlKt6WdK9FV6XrK951PtXbQECywvhClJE1XQ3CVrUOgCm6fPcfK9XJ5kmltGuG7MkQXJ+z5ZZ/8hH+pFaSIzW9AhScmnGUVBCUTlArE1pElBrkC57vuFUvRrPbKsXLIn3ih7ySzgzCWKHN0sVQiESYLM5HtCyiTtLxEmYXShiYaai86L+JE3dXjkaY+j8wVwS5HpbyMVQarFZUGuZCC2r40U1jJMPfFUzyVa3Yi8xgldlndk9ClKRY0lHV6Qcuk5CWNBNxDM9QXKD5iYXsGprIBsI5TdDNYBmAuuo1mv8eXnXD7w4bPccGmHn3lzm3pV0R+6a9xaq8GdZaYKKfy0cCpnoLVqTlZr7nJweS5wr+F7C9tfudQR/OFfN7nn8WTkcaK3s6SOkEhB1imfT2QtNDl/nQBTUr7J83Mhz53pXgPUpaQOue9dDjzLmU2dzAUsBp4ZsBMtLoQNNqXWVpsLiRCKGLvddyw09DSvvHrIz7ytzW+8d5zlfsHzkTmoNKtBblKPnIIOTxJAJPpbFT6TxOTAL95Lsng/pLZK4qyYtYkilX1aw8pQ4Nd6/Ju3nOH63Zr61EYmN1xGHHX5pZ9OYwBnJ1dfctmdhw723unJ9Xz83vW87/Yag0Dbkb1Rum+j1XrFS1SKfkvgTpyQFDiJ9JCZI1IAd/ozpQuA/wbAXTpsKexAGv7sk3Xe8/EGndAZcU3SZgY7ZtjNpEUhsTPa1FCocV+dnl/tixfp+xsh8VG70KwF+IKDpYtulskNgJIW15Li0KC8vS19bQcHxbFDw4GffHOHt9/WplrQ4GVNHttS1IImjzSEmfYe1eQi09+57k62K0+OoqYurlTZTJ5CPELh/KZD913HXruKF/Pjb1jmu693qKodKB28c+uWq+7csWMLkPj17/uz/0Kz4YUbxoMLFcE/6bQjan6FjRNVwtBjGCqiwu6yxeVZnhPcZa2d+9x5u5lUZRtQioJbUqg3yQFdZm6ZWYQW3MLVPH3Q47feP8bxOT9Jxbu5560skzsSKtK2o3lJMVWqvWXy9ej88bzoTOR14TKvZCsN6Zci+107mFSWfrZKX8vy5lu5957vNFeeQLBGb6NI5xCulX8o3HcFvzplwoobs25Cc/8zLrPzKrH8Cndv9suSNAdYns9tf7cUY4vVTR/l3S7WUgPF91kmkuLUBSXINvedGRdcd7FPza3z/Mkpnj2o/vrRR+594LobvtNyd/qPvvo1b6ReqzA09zE3v4epap1DJx2mxjSeU7b0ij13ozVGedDD6v9nJIkjRJ6Cl6II6BcGd6q9i+ztuJqnDrn81DsnePqAj3FV5nPbbKU9UmnijVqCKSgofJZMa6ZAKe8Ol4ZHq5j8G2Rxs+pFgcFHirBGO+5Tektb3tISW5HJF6u9hU7liUFrgxDWF5dGEWt7DQg0l18Q8ie/sMJP/paw89A9ch881d7SJuuH6a7g2fcT+ZEUj+Q6XOQ/S78nrVzRoycjsxFHKkWKsrBw40sBYzXBxJhDa7nOPtPngt27uOn8lxGFA+AX7VtM//2pyUkmJqfZsqHBjo0ek2MOUSzoDiT9od3sPorL+4QX77iMxTPwFtvRVteWyCK4Sx53sZiqDO4M2Kn3LSOru92YjhH86afqPPGcT6wSK3BEmiBEktRJtLekVOs9qrnLUmUEyCXDQWTnIUd4MTny9RBejKHEGqCmlM7P7bTCgKDUOhzdzKogT9LXZsRG1NpBxJKrLx7yL97UpSEjiOJEpsSZTEmfjYFAwzCTK4IwySRGqTxJpEiU2Ii5PVjYlnv0SOVKckbSGCUnTmF3t3Og4gmqFTtqe2EFDp5QtPsNJiZnaIxNZ+c1Y/Ba1aPi+wd3bK4f6u1qnr/UCghjW2GYzRpMTAhZEEaZgZgxoAV0GkCmQC+l30tZS70me68F7twHLzgmXkQvhvd9qs5Hv1RnKAvglgWAZzNOkibiUmJnDUCnIy6Ky7wsMAploJeW2ITbxQuBu8jYjIC4sPuarXUqztxOSyfKtSlF9s6/J5E6KdSSdncGYWx2E2GQImFxDCLWeMLwllt77D3m8L5PNuiGAtyEeVM6TEprNZKhTisKBF72c1tworQpOymjTC7sMM80wEwTp6KQDyjnGBKQJ3PYPVfiuRIpBCvtEC1c2gP/kKO8g8aE2fnNGHz9hk3MnfzqHVs2Vj940QUeg2GPTtcwDAVRjN31oXSHFf94mtjJ2VqUwD0aPP49wS3K0sRxYjoBvOczdX7rvWPMLXqJzi46J7awPctYinT7kdEOHVMeCTEC7nQGyrkKr4qr2eoClK+H8vLrYkqalO0KCZ+swx5RCM5GmTtl85y5dSwLQ4RUNqlWm2RabeSwYUrzyz/W5kff1KXhR/bCZ0FnmAefRqNTJjcQ6DTwtM+xEUnQmTL3CJOb1Uxeep3e9EXSEGmuQWQgb9QVjhsQqSaxqH7w45+9745NmzatBjiA7ykmx6qff/pI9MTzJzTtXmTBncqSwh8r+cDFQ46w4d+LuXMHJQW3TMEtIvtaRUhf8+l7q7zjPU3OLjvWFhGj8sRKE6dgC64ewbZ27UkxpigGGpm6LgDZ/u43tD3u12XzYkZkVRY/y/qJAoPLAlhWVxrmr3Owx1lfp8wznUYRBg4bJ2J++cdbfNctPatDdCJVMpkyAvLkyLOdqavydUBecFdG60xMciKK3y86KVLaDdMaVbhqt+Sq3dETRtQ/L6RbOqdO8YutF76Of/Yvfv1+hLNHUL3KUUVA5wox94Ht8pa1SBXYOwN08Wf/0+BOvhap153Ud6sQx485eMrlrz5X58ycZwf2ZPIkTcXnxVQW3PnwHlUA+mq/26wOHIXJK+wKN0DpTi8SQIHRi0ttUUcXV8MiuIuSZTTpk+6blCV9KFQbJj60NiLZ/CkNONNSWoPQSdJOy/wzphu4JnIlCgwbp2Pe9u1dHnzS5dApH/xoJFgkkR6gtWSYmg5JSa2taTEJO5jS/yMKckUkAbVI6s5FIWspV+UBCjdBct7CCBxV5fItao8xd95/6/f86rkBDvCal+1ECMHRo4fo9brWb1SFwTelAql0Kc/BXJIqRZ87swKL4DZrgDsuBJy5JJGFtjPHizl0yuU//o9x7n60ChVF0SnJM5Y2oeOWAktTrvceCTKLAWY5wSPK+jtl81H3ZGRJLQG9SMWF1zl1mBKDl8e6JQyNyXSqNtgKQgHC2NkjFugFbZ6Uw8ZCILS0w3lK4NY2OaUV6Q45CIMYGG69Zsiv/8sVfuV/THD4jGf1ePreU8AmX6cgNyMgF0WQJ78bJwONRPIZMlIwBRcz+ZkoVLKW6lm0IYo0nZ7g9EKDxtQFaL3Km1kN8Fe96pUopYK/+7sOJ44fzjZZSrfjK9dq59nJzKctfF+IkaTOCOhXMbWM89qTErjzSkHHkfy/3AAALsJJREFUjTk65/CrfzrGR++sEUg1orvzZgYhk4SOKHfpjG7/Vz5MSV9nJC2KoM4twOLvpD/7X5EpKb6Le+WMbnNCJk0oNUVonQ67TAbsJCwuUj1OvmmYZXmb3RQ6FUOKtM47Bnwn4q2v6RMbwa/88TjH5r18ElJaC5uwOEBcZHIjQNtAnQJLi2QFENKuHGBf6+Tn6TB8bci3O0kytLEwSG0NnjDSuI7A0ZJ16zdw48tfFcTlTp21AT4+MUmz2fz5LVu3X7K0dOaVnurhe+C7BtdNtgXJJEbRKckTOSXtLcqsLUdY+4WYO7cGoySZE3NsTvHv//s4H7+rTiCdpCU/7c4p13nn7J2vQEXve1VChBFGTmKKIkMXJcqa7Jx843+qFmWV9lxDvhSBvUa9eHGfzUyulFwWAUZa8KfASpLoGXOT+OTJcxQZHAzf/9oejoJf/KNxjs0nb6okVchArrVkIG2cYBk8+YCCxDe3UiROnZUEyHaEm705010ANQnIwW7MkN3+6T8XMz5WZ/v2HV/ZtHHzzw8GnVWnVo5+Y2xsjK/ed3d7rFndP9F04kZNU69oKn6M78bJXjeF8WmrJMnqdLwosLcqaeui5jarwK1SzS3tXpZnlhW//CdjfPyutZi7+FpkrombVAUW9fe5gsvirrxF56S8cdYaFmGK6783W1PsHRjR3/m/mr7WBW1enCWetbplQWW+FUouWWTh64LDkr1OAs44cVdihRML3vJtff7zT7XYOBlCHI0Em3lKH2N3CwkShyX1yaMsTS9KLkrJByd3i7LKwbTkNjZEEQQhDAJDb2joDTRhJGLlVPbffffd7Wq1+fUZPDuZceendm5xrht0o6tdJy2dtbFsFnRlpbHF5V2PBJujAaU9hEhrT5JDxCOsnkqUCKliYhfe/Zk6H/1inUAVgklRZG/L3GkLWqq7y9LElORIsd5bsrqoatQKLKW+S2lOGBXiX88tXOWQFL5Xel1k7hJrFw87siHLthYGdeZSxeTShHS3BeuNp1WC9v0qq0AKklYR89bX9dh/RPHO940RFSum0rETI3IlkDl5k0y1Ekmg6UhDnDQ5p0GnADsj3JjSqoBO9/ExVjuFloz6SjAReE8tLLV/anpyNbjPCfCbX3ErB578YGymtpils4fRsSHW0hZd6TRwKS7xRTlCzuLZzwq1JmlWM2kYliLxt9UaQaWwsgQX7nigyofuqDGUqbedzxIsypI0W5lv+Vfu1Cklckr25tqzq0nLYLPvjexJVLAJvxFQnxPhFORJ4eerp179f+19eZwcR33vt6q6e+6ZndVeunZXu5IsWZZtWbYs4VvGNoZgDDZ2SEIO3oNHDARI4ryQhATeC+bKC8cLR8gjhPjhPA4TgjlswCRYNj4Jvg/dkr26drX3zM5Md1flj6rqqu6ZWR2WLdt59fnMzmx3z9XzrV9/6/u70OTVjHg6FFXhiOoBEkGMqgIKAq64OLWoip6nTDUIFhG1IJCufXDACwNcf9kcHnraxY/uzcpwVp19nKQrBAj0xKF6UUmiL0mUmhIqZUgvOuXN/C9gInS1RQ9CAp8DlDGct3RI7No3F177pquOHuAAsHT4PAhe/XrRfWBlWD+Qm65kMDmTRq3hRJdKzb+JAjFpuZiMp5xFThxiWW4WjzGJwO0GoA7wvXsy+KP/XcJTu9MyYTgGbvtm8e6ImtiJCm0oiv5N2lGQxCITbUCdXHAeEdykBc61FKg9ljrBVsTBrMFr+LftCIJaaFqcHFptUVaba/8oibyunJsYWW3J42qQwGnLfPz1+6ZwIwV+cE9WHq5RFCkrmkBDdmCGsswqvJZQayZbC80I4GoRmnQqcg7UfYKxCsVEVWBwsKuy+eJzv17Mp3Fjm9PcFuCp3IC49+f/+NnZ6qk33HPf3txZy4H+bg+VORmKGSvwYy00bWvNSKsFpaEi81puJwR1ge9uyeBPPlfCU7tT0s+ejDGx4kwokelnngZ3qzxLJJSSVnTEkgabQB+BnzSD3lJQSHIl2g7nFp+O8G2BPSpnFi2xCITgLUpJxOmKTnfjECAqG99IbhRCyBoqiEClwEeoojowlpyYTxY2gNX9AT7+7mlQAnxvS1buty25nuSKYmhLrkFOQCLNm2q5kKtISEVpiOoBJKzfxKFAtUEwtKyCM4cmsG7d6YefHXnws29+3a+Kdue3LcABoOGciyl/Grff/wwatSlk16VQaziqyDyiuJN4YUqdEc+b+HdsgRnlYVpc24rrJg7w3bsluJ/YmbIqwCasNzW8W/eyNEkM8ViTaDJSy5LD0JWk9q1/p2giE9JETQwTN0+w63i0s+YtfxHrEt5KRTGgtgFvqQ1Ea8cK3FRTFIAIqlz+3PrUlmSoQaiBqQXq6DFDZNkbwGnLfNz0rmkIAN+/JyuPTdIVJQ9CEAQgqCuQ69fWnFvLiURNQkrM9wV0uIcM7V9QJDh3JcVbNpdxyhmr4Hgd8xoQOt/O4YEl9XLee+cV5y6vVCsd2DGSQ63OEIamwJexeIm0NFs1IXaQlI73tsNeg9g9HOAH92Xwgb8p4YldKUVLkuBW1htmUWk6MiSzc0SsrXUyM75JJkw81tGESbzGwqVtHB/BcIsjbLdjMExobIKPW73tESkotpselqseCUXFuPQ5J1GicizysCniUCVJqCTmsM6wdrCBj797GlduqsqYlTCZLGFFJAqBQFgJE6KFS7+NtxJECmZpj2C4jyJHijg0c3ZlupJ/J0n11+c71/NacBJM8nWnDTzY03Hx9He+vS/HeYhQyTjyhxUJetLa5c6YkQIjcBMTy23UkgBgwO33pXHjZ0p4SoObWeBu8laqEFhqelnayglFopBPwlLHWgHaYLcpSALZTU6gGKjJEQE+L7jtbcqK2I6fSAsnhndzRTP0fetqWMa6S2rCJR/nVMaEc4tTQEjDAZNOlhwhANEQOHXQxyffOw0Bgh/fl5EJEXpRE4tCBARlxpJDqyrGMUU5EELWYScW2I2MLvdVai4WD104nSksfXB0tMoxz5jXgvf29qDcURrzHH7tOevX+C7z4TjNGniyWKadsBCpJXYmDol7KZmqYyIY8NNfpPH7n+7AU3tS1oIyKQda4KayrIdRTJqpSVIejAN5Hh4OtLTqbUFMRMy6yyPbezZjFlvEtycVFaOekAjkOkjJeDZtLTzu5IlAzm1N3G46S62uERTx1uHMsuzGknPuIKxTrO738an3TeHis+fAIqvdXIoCPIQQAr4wEYg+12Uo7LQ3+fltrVzq4QKz1QYGlq3yZyuNa7O5wliptADzjXkB7jguDh18Fn2Llo4MLlu+s9yRRSbVQMoNTa0U2srB0zorRyYGq1BXVaCHEalzwyX4yYNpvOevOrB1T0rGBzA7pjvpqZSpX7rVSJRjGXktFTWhSMiDBqxNi00gTjmI9TgG2hbAh15YGg5uA/uIogqJW6yoeljykp24fMclwjh1MZWwWhQJagK15Qiyb6FNV1iCrsgbbzCsXOrjb/5wCpdumAMLrajDNiBvcKCmQC7pCkwup6IuGth+CNQDYGaOI50p4pSVK3cuG+wf2bVrL1Ipd97zOi/AAYBSiud2/nwPgf/2oeUDKBemUMg1wBg3HkprIenELHcYs9w6jzIq2EMCOCmpc9/5YBrv++sObH02BZHk3K3ArTi313ZRKdAuO75JB7fAKjFKLN1bbSNx/dvYZwvxSTQfBVWJ+HYbYh4DduKy3ayg2Fxc76MG8Dxp0e12KM3JyiGnxqJH8eOtCwrxBsPKJT4+/f5JXHJ2FTQMgUbYDHIeB3ldAHUuCwtJa27CafXEDDnBzBzBvskAQytWYK7uv/0HP/75HsaOCN/5OTgAdPcswWylglw2u/+Rx+pbJvbfd0FPrgEhsrEw2FidwKirWYvSDolsnL0TFPc+ksGHvlTA1j1pCI8mwGxVgk1Y7hQRJkrQstJR4yqLmtiLxSZrbi88k1a5BQ+3KUwMyW0BfWykvMlSC13cUudpEgvoFs9WvFzGcsQbykLIz2xvIxyRPi4X64aLE8qVLg4AIaL21y2/k8rr8oFT+gN89ven8BdfErj/kQz2HvYAT1gZPcZ7IyiTxfejU6uSrLmQidtCigOEAH4YYtWKFC69cHjLeedeuL9RryKVzh3xXLIjHgHgpptuwqsuec14zS/NTE651x0ePYi054BRAdfhcJwQLgvhOLy5Tw6Lc229sHTTAbbtc3DTl4r4zNcL2HvIS9QOtIrTtwM3NQtKnV8Z0RMraydy1UcVY0V80Unte2Imh3WMznynhJhUNqo7hpl9cj+xFqoqLjv2v5XnaU8w9f7NC97m4+OTkcSPV84UebwWBA1vsq9MsJ4v95PoTkNP94+3L1/2X0DRMkIATtDdGeCi9XX0LQzx9HYH4xNUIq3lPKcI1QQxC0n5XRwqC5KlmEB3KcRvvvFsbFo38IeHR3fdXe4aPipjcUQLrsfpK4eRyRYe3J3zv/Pczumrq7Vt8Fy5qnWYTB+TPXAS3RVoEuABnEyI7fscfPiLRdz6kyxqwol7KJuycugRwG0FUunSFC2ydoycaeJOWsmGsXWk2hg7xr4lfzTNwY9RSYktJoneRoBIObG3xz2XunRxzJJzIuvbK8mLWFSGR8kGMgzVFNlU4rUOZaUcFDKuRL6DbcmtLyisEwwADaC3HOA3rqwi5QIf/nwRO/Z5QArKkgtzTwQEHNShgsBgrrKekBPTYSHWnbYcA/1rv5PrOP3BgEwd9Xk9aoAvXNSDicMje8448+z3To89xmYnsq+ndBKuE8BzZNdgJ2qXbUcE6ux3nazAsWOfgw99sYhbf5pDTWaRtgB2QgrU4KZxKbAVuNumoSGx2NSgjR63L+rTxKufbxhhcigsR7KgVlEEohJmkVwoEM0ik5xM4hSEKE+gVk/UCxCOCPiylTeiClWEKvDbbkgF8oiuUA675oOA6nLMrc9LCVADUm6IazdXAS7wob8tYed+AK7WmJWmSeWME8KBTxhmBVEJEVI8CEKBQj6LYrF02/qzz37vnr0je5cNLjnxAAeA8oLF2L3t/r2Dw+se379r7PUsPIBsxkfaq8F1Asta6+TiUN0rapLm2H3QwV98oYhv3ZlDHQxw2gDb9lASo5a4xFCR1pY7rprEQE6bgQ3rcdt9SKgoNi9H68kQowHzDM237diU6LEGvKVrx7dZKoqwkyOApux7KGmRIAI+V7VI9ITS3UoEpxAQUZGfJMg1oOPOGGK+j/4aDVlU6LrLqgABPvi5EvYccGXNFXA1Sbn6zTkEYQgERUUw+Fxm7gvuY31fH161af3j/7rl/r2XXrTxWCB7bAAHgI5yL1K5gY+j8fgQazx9fc49AMcJEc1IaEvJQZQsSBmHLwTufzSFL3w7j2/+JIsGUWXVqIvWYa/EhL1aTpwksNuBmyTA3TJaMMZtE9wzArG9moxr2vbz7B8ZiWPmAzdJ/B+nIophkBZue2Lp52oycBUjlDxGJ4zHJoG25FZupKYu0PhTllxaZamUyVZvxGT1KFe80eMIdCEiMALfJ3CdANddKi3552/N45fPpFEPmVpwhtKYIYw4PocE92SNorxkAZYMDH79vI1nfnzrjueOFa7Hd3Ede/ZWLFiyKPuZL/zDHfv27zt/UVcV1146h+5CCEaswBkIEMZRFQT/9/tZ/PkXi5icdeDHFpC2BY9HBTrKiePEOLcB83zgtototpIMm7ybamGYXFyasscSzHoBqxeOpu+lVZaNxMsly+fpkm0kvqi1HicXwZGGb21PlqSON/FK7otXMoiqd1nbCYmnFNr7dZRolEubCKqLvNWEg9iZWUR7sANT6oMFCCnHVIXhz75YxNe+l0OFM3NZhYyFcSlHdzHAmy6pYEmvg1R24G6SueEK8Ger7/svVx4zVo/ZggNA19JrcOsd/15dvOwdjVu++008/txe/NOdM7jhqmlcvL6G/r4AIpS4nQ0IvvrdHP7sSwVMzniGbzcV5zFKiebbbmIxaevcR7Lc7WJLks6eSO2AEQlsSpKkJjHL0MY8HJPVaEVN1GNh05GEVbcdQ1GSsbberfap4CuqKQwMz+eStANUedWVJTe0RHEZLhNfOKDMv+HcVFtuEICE5otQ086KigBd+RAf/d1pMCrwj/+SQ8VXklUILF0Y4uL1VfzuVRWsWkJRD/v9Bf1XPQGyr+oVjx3cwFHKhK3G5z/zvzCwqHP10oUT6+96+Fn3yWcYfvBzD/vHKdav9lEuCWw76OKWH2bxP/+uiIlZ1+LbDkBU+2ziQpd7IJREVjtFJbhtndvEduvKVO1pibHQoomuNMemkITV1scZSVBb+EjKo9ZziSURRtv0c7VMaEuHaEuXkJyEsYUvaTlx9fOihTLaHI/4BIa1395pz7doe1QXx3ozmIhyebx55Wi1bB1L1IzIZTg2ni7bOo6NUYzPAAMLA9x0wxT++DdnMdBLcGC8A4+MXP7UyKH6VSsGyuLDH/nqceH0uCw4AHQtyEOI8T+99KKLxcYf7X3/9OQj6alZhm/+KIu8J3DV5hq++I0sfvyLlORbrI3ltup1a0DrhlCRd9IOb7Uu2SzhgrdTzkwrFbQEuA0gJEADxK25XvXbGfP2gjK+ATGQRK91FMNeW0a3lpKjOkoV0RZQaV5ELSq11YawFBRlRbkAp+oxtExIZR1xKi15XPUjagEIUKgsBCoML1fnRkCeb/1FhJBd4YCwyUkb+gE6cyFuetcMLt7YwBe+mcXVl9Rw3WVzYAGwf5QipKtrq9e+8TbQvCDZIzt02o0j+zrnGYR08u/f/sCHLjqz9xObN/Y2SCgXFftGKXbvZ9i5x0G9aqWYUWZZbH1PZcAUBdJUyHYiVPeIty21TKBwrP9ta605tw1u0hLQZjIQ+2aBMrJ+FlhJEz8xyLX3aYDOC+QWB4i2/8TpRCwDHxYV0ccIQJd708qJ7aZP9voxYbSqdrjuFmHVHue2+14QlbaoQ2ylC1/Wj6cIQ2ZCau1baEJtZVIzQTrDMTwQYFlfiIXdHK4jf7ODs6sh8teOO5i8afnS3LzRgkcax23B9ZiuTzROGS5+7LGd/Y0Vy6f/xxs27aHXX1bH6oEQj2x1sfWQpxJU7S4LUjkh1DSBcoktASbbiiRlv9aUxAC6RW3sBJh1fAmsY2LyngVuDSybFiS98zGLHd23mBTtgJ2QBlttE8Zox14v5uABLO4urbhWYSKqLUxpZqlaiKhUcnQOVRcHDkCEslCmjJaUkot8LwGhExSoumIQHnWgYGoyscTspYSDgiCoCWx5IIWvfD+D+x9L4YmnCH7t8gxfsGDgL/N9Z251U+l5Y72PZhw3B9fj+//8XVzw2l8PFnQNjL/xQuedb7343+nQogBuWp7YLQ9kMDXnAo7i3EzybkIpPGoK0bs6G0dlbtjVX7X7XXPvmNVOcusWdU5itMUuqgmS4Nw2Bzfc13bhx1ztCV4dce9oW7vHba4qxEw+OzZGB5dpytDKORWB0+bVsJ5jTbn4tuZpGuPk1nGmgoXm3BqyRO1MTHdhfbDoc0uVxnFDPDdF8al/LOCp7WnsH/dw3xM5bDj7Mr521cr3jI8+fmdf79rnZb2BE2DBAeDi9QN4bnJo27ol4oY8fe0XGpXbqSsCrFgcYNGiAHuniFqdSd7NKDHgVtTD5tlN3LpNLHeszEPUZcxasCEO7rirPZ7QYFt2+4cmid/MfkyS25uxcnQjaaG1hxKWDh7tU0/RVtjeHqMvip+rtC/t9hfQDh5ZVtnmqDyKCIEMxFLnUah0MgpluYkApRSEq8faomvPqbbihIMJxcN1KAzhECKEEAQj+yi2jXiA44CkKK567UWcZM64Id/Vv+3Z8bGjOnVHGicE4CuH16Ex+3DDzV365alnn8jyxspPpfytGFoa4oL1NTyyrYA5aHBTZJjk280l1eKKR6TbJkAdB7mp4x0LSEIc7DGubd+sbYABuRVXFMcvseCfoCktcT0P0DV4jzREkr5Yz9Nee+3GJ0REdEVvN+sCE40ovZYa5BL41HovqQKpZ3FpZKR/w0iP2hrbIOdCtlKRCcM6QRpgTFMgBw4LUQsItvwijZ170wBzcfrwUnR3pP/gmis2fflfH3om3HzOmScCmicG4ADg5c9EozoSlhb+9o79I4MzIyNfKyxjI0hRgBAKUBeO4yDLgAwVUZJCc72SZnATNF/Sk0BvL5vFb7ZkpS1wdN8CsPJHIXFrbh0Tu2ofi9U+mmF7NW19mySpOomgG223rbgFcZvzC0EAZcmJouGE6DQ12f7ETHa7/w9RoDZAF1YJEU4EaAR0WXyIq0oABEDghHA5RSN0QKiHs87owLt//dKZK87fuOOZXYfCzeesOmGn8IQBHACok8etd8/cNrz4kncFKfbpeuNrnTwcBagL5rgoMIEsM1w7BmwkQJ3k0EhyVREDeiuL3NLZAyszHog9Bmy2Grfs84KXJPHd6tHRjZiDBs3ufHkQFDWRsiCBTVP0Yk+9f2TF41RFLi6hyjRYfSrVdCFCnmcNeqFpnj5Gvb/+HXSYgPaAyrqcsiQzpRQh4VEChcwTcBFwYNmShfjgOy4Zv/qK098H7L1t/1j/iYTkiQW445UAAEF96maQVzt0bubj3PlhN3HS6HAJSp6Ay+KglsATxsmB9kCNgA1F6dFiUaYBZ/Hw5IIsab2TGG5HT2ILM5I8xAI1ab19vtGkd2sa0kJV0XXAY5s1TVGfS1pLoTqmxcsyA2Yb4SQ69wIqwlCduyhnWEi6IlR5tWixLYxFJ+oDC1XYRGviBvQUJASCUAaGc+Gjt6cTb7n+0tFXn3/xfz902L+5t2vNiYSjxOQJf0UATqoEIQ5+Be6rKc1VP1rOPdxddEOkHPOjGZEKMYACCaDCdr3HA6ZsAFN9fIKH2zp2Kx4O6zVscBnwEyTxHpcSSdPzntdo8XJCWcsIlHq/ts6J94wygjRf1wQmdvINbeHKUUTUCRXqyUQnORCYUsZExkfZSpKUD+XE4MoA6XubYsnT5aJed5BJU1y2acMoK7/qA4cm5r4yvLR84gBojectE7YbH/7wX4GXL/4lRHa006teKOqTmbRL4DLt1jYnyYmVVmuTbaMfWwFKhNgBSkn+rv83Eh3s7erkNx+b5Pa2DGdc94hJg/Y+SxKkzfJgk0wIa7K2olTtqJc9SaGBZq5IthzadgZZmpLthjdht8RcRZqvcyZKEbosBY1l7QvojHgKP2CoNxzM1RxMzbpwMsvGB5YuvrHgbPtK3+INLxQMXziAA8Bdt9+CX73m9Y/2deWeLWTY5VNTkynHkeQyVI4F3XiV0TiwiQXiZE2TWPqZtZ/E7m1wodl6twRMK43aNGPVEYLNgDZgjkUakiMD3J50ra4uyf914kZyX9NzbRhblzStgQsL6EIYwGqAJ8EeAzeBWiSYydEqsVlfPbigqPsMczUXMxUCNzs0k873v2tyxv3a4Or2ZddOxHhBKIo9chnGM5nc1z2HBI5Dvrptx550rUHRCI3ldqKYhrgb2r7EtYwjiQGWmB/T/jlI/DGJ7TSP52MWraQ8QppeosWGoxytPJP69a19Nl0hUfWlVi9HoLWVGK3RWWKap4NYNMgI7sZHYB4Ly9hI2VBzdnkyTMy5/r1kswTqhPAYx1ydYXSCoKt7sJYr9v1XjuKt1Vr9eTtyjjSeVyzK0Yzffuv1qFTmQup23rp65ZLfuPzCoVpvTw3jcyG4IHCZgOfIrtuuzoGwPY5olg/t2BMdxWfTlJgFRDO4m3Axjw0xKgqxtpHWxxzDaPeWdswJsY5tGavS9kVaf0dtiZMlmaOaKdyUdwt1MR4de2LFrQhOVKF6lZyg6qwEAYUfSDrSCBj8UAbRFfIz2HNgEtP+khrcvt84Zbj7VsFr4QWXvOl4IHVM4wUHOAC87bd+FSsWN8L/c/uvffvKCwu/+TvXlKsr+ucQhEDakzXnUh6B5xAlH8YVjRi4qaELjJBYL/l2+ZjJX7slLtpY6fmf1Hr38QC++fVJ0yYRuxwZ586xvYcF8mR9FJEAd2g6KYfcPI56dKrXFJDbgpCi4TPU6hS1BsNcnYEQgsd3hdg2vhIT/pK3/8obrv72nfdNha+66JrjOEnHPp7vmv+YRv3g55DqreKWb+Te8vOHxr6wa+doKe0JMBVrHYQC9QZQ84XsJC1gKsHqRShNWOtW38RSaWKP7S+eoDiRxkviPN5cPSTnZhbvtjOBoowea5vm4MkMIGJNVpt2sVg0JEwWTmy9YTJ2iL2NaklOv6YwNCNJwUjzuRFtJrB+LTtzSGcAMeXcEQCCgGKu4aBWpwhDveAVyKY5cqXCWP+q6yZ6F572Nt+v391dTr9omHtRLLgeqd534fNfLiLrDv3TBees/b03vW7j4UW9JWRSAsUcQyHLQKnsfegHpkYdYBaWjMrQ8uixvhEr+IomFnFH8+GOtNRp9To2bYGZMMczNL9u+bFEcsPRfhnRfrcVt2LXKAw5QRDKW6huQUgRBDZV0esdWafSdThch0NwgumKg4kZhqkZQNAOlHo2Hc4Wz/mDm37vrSuzWdyTzaSO7wQd53hRLbg9xscn4Dju2+7acu/H7r9vS3cYVOC5wMHJCu78pYOMS5B2hOzuxjQ/J5KjRxSkGXVCCKsxUzxeuumLkyQFam3BqVJJzMQxuZcktt8u8KMjEC0Ln7DgSYWI2NZaKUukadLqvkjJjnbGgkcRlVS0vspFqWqapmgublXM0k+J3ltabBvQrsuRcgOk3ACeG+AnvyhidCwDAY7eriIuuuiC0dVrNvxxGAZ/n8t3nBScveAqSrvR2VlGtVL9+82XnE+6ys5HH/vlXd2F9BjOPHUKP9uWwdhEAb25EK5jKIKx2KSJomhLp0uScYjIExer1KrFAlgqBTD/VE8qJhYHJvaGEzzsjPpWns62nzm57tDSon6qflG11SQ9WIC3zhXRKZlC/sOUxadEgr2Ur+HwzAxue8BFJuQ4ZbCMNWdcMLr6tE0fEMDf5/L5F+T8HM04aQAHgGwui9CvfPmss9YH6TT7VOXQT8pBuBdpV2CfX0CgOuZSFSMuG9KSiIdrS2naWSPqsyhU2Q0b5PaiyLZqkfym0tJaDtJ6U3uMHR03ahU8FXtgyYGxSdnu80RrC9vra9ojRvUME4tNeyEpeFxCJJC1AjlTUS2EwmGyMAqjHGnPRz2oYXouRE9PD664/KKJdevOurFWD7/aUTp54AZOMsABgLk51Bv+zStWnjk+lto+vP1A/hOP7XnKzTIJTUYBlxK4jrw5DuAoCw7lfo+kLqIi4CCUtRGGa8KkdGnLqBcgrdzdUYBHMnBKHUgSxzbp78cykiC3owitj9EyP7PVm1kLaB38ZIdB6K7I2lkTpamFGuSKl6uX04XnGQeEkJ3aHEojZ13IQwwvDPE7bzzDPzTa9Ufnbli/I5/PfN9x5i9t/GKMkw5wAEh5Lq9O3X9b/6mbvG0TB6pveV3P5396z+OEkDnqMcBzEcmILiNgzHgoBSB1WSFUw1AJBEpkZSZdi0+2xxAxMHIhJ0osDDWRWNB+2Lq42XK8jbyjuWR9jrgciFi8tt4eew3LWuuAJxoV4RTW94ZJVIaqyc2hFpQK6MJYd8n7CVhIEHJ5taQUSAUcQQgQluGlnk3idRee+u6Hdp/5D0/t2N7YtP6skwcoa7wkAA4A2dK5+OGWJxqlfP/N69aQf/PCxpunxw785dThfcimXWRTFK5DQJmhKPqay7lAwCHLcehMcgEglOGkujuACfhRspxODmgBKj1IGyoATWdaaOzHBXHS/PxYQoQ18aLkBms1GIsmIfEbo3ErTlUtQqGKbQph1BM/lH0og0B1HYZZIDMK+AGBH8hz5jCBBV1LQNKlP88Uhr7Zv2Dps0v79jZY7pyTBaOm8ZIBOABcecEaAJj75Odu3brqlLUfw+KMNz1V+NPJw/sYRQjHpZGFZEwqFEIIhKEACThk0WlAMGnJAaE6BAjTW8h2AFlFKO1+OMnR0htqXJyxu+MdSTDbUXj6vQ2Xai3/GanSarhLTbsZraoIAdCQyiuaD+WFBIJQAdgHGup/ba0dXYYA8rW4SGHh4sEwlS9/ZMkp+Y/t3TYXDqw69cUHzRHGCxpsdbzjxz/4Bq69+krxnne+5d9u/cYtqXSKbQj9GSft+Gj4AsyhyKQoMikCz5Xamm5Oq8HAOVBvCMzVgZovf7hQW3Y1jLWLRzfGowpNUFUkC8acPSTuFIrJgnaRn/aFf5rCfC2+HAs5sI5L5po2RV8qKZFRGRPiOLIsg8tCOKrHkgBBI5Aex5ovLbPuBz/X4KjVQtR92XueEoIg5JipCGRzJaw9Y0N943mv/WT/8LkfvPYN14uVp7/5ZMOm5ThpOvjRjNmZGfihACP46OjBXZsefvCH9JGtc5vmqtPOwi4XxZyA5wocnqI4eBio+xyaotQbHAfGA+w4APjcFO10GeAyee9YN0abZUgae0yizPomD6YGLiWJCdIcQWieZ4E1UTcxXng/XilA6+MawI4FZOkAk1q1w7gENuOqSQGHy2SzAllDEAgChp0jeYyMplBvGHmw3gAOjQeYmPHhMiCfoegoUizsKQV7D5F7r7vmV/gpK4fuFYJ/gDEX+ZMoAx5pvKQoSnLkCwX98AM33/IvoM7awtDw3JdqlZHrOtL7aU/HYUzPcew+kENlzgWlQNpjcF2C7rJA14IGJngVT+7OgIcuSmmBnCszDrVTRNA2DiFiXPfxcmjxYCubqLQrfN/SikQSRfuDYwqKtStWGD/x1GRosAa/y0J4boh0ykcu00DIa3hyj4tHdriozblIpyhclyDtAvmMQK1Qx67ROsYnKU5ZmsdpS5fy9acv/dYVpdw76o2RmWJx3cmGx1GNlzTA7fHWX3sDdu/eM8Oc9Htmp/ZvD6v3njY1S6/+9o92YWSfh74yQbnI4LkExTxBVwfH8BIfV54/hpt/zHDLv/ZhvJYCBQUlHA4zpRmOapA4fQBgFpk2qpqfFrsH4nw7Sbttp1S0oLS2Sb1fxMuQtPu8aipQKi15yvORz9TA2Cz++W7gK3eUkCEUy3vq6Cy5KOQd5NIE3R0hVg/W0dM1iScPrEVnrvc7Gzee/fiyZYs/U6nUZlYuGTjZcDjq8bIBOAAMDg4AwJgQT34QuHLgZ/ftwrq1u6/m/GmMjk6hmM8gkyYo5jgK2QCMUAz3pvD+a8bx2C4X9zzdi5zLkOaqhh/sRSMSKARghd9Sy3pH3BtxXLdKnpjPy2mDV/8fLShhB0JJTV97HQmxWnq3i5LSUiDRMSMcnhOgkK3ioW0N/PWtfZiaKWF1r8DsHIfrBnAdApEnSHsVzAV5bDr7XFzeNfSdkcrp75sWM3vK5d6TDYFjHi8rgOtByKnYsWtiz9JFZ9+4uKN881lnrnzvQ7/YeuH02C5kUrPoKnGU8iHmGgwHDucxsKiKX790Cs88V0LNz4GreJ9kWloMitb/0qdk4kooJTEgHvkDm4e2+z0SRtofbrqmcQlyqrorRK11ku8VxZWodnzciC+eG2K66uP//TSL/eNFDHcTZDyO6SqBQAgKjt7uTiweWIOO7mV3NfiCz6w5tf/RNSLYQ+jgyf7Zj2u8LAEOAMPLygCwXQixfTnweKMaLOzsOPVvq1NPL+fVLezBpxz0lDJwnRC99SyWL5pE0fMx6Rtt2KHSK8pomzCPaPFoL/pIE72wnylr9zXTmbaTwQodaFcqQntguZYIVaUpfRUC9HuZalghVzVIGI2SGBgVmK1zbB1JI+u66Mxw9HYwlMt1PL7HwcXnrw9ftWH19mwq+G9r1p63H8BWQo52Fr80x8sW4HqoH2Dr5OTEVs75FY0KW+yHp35ry5P3FWdqY7nZagP1hosgYLLCEhHwqEDKATyXwFNnwHbn65txd6tIQSaVFD1ErItrM5qjhrKtPrheILZwyTcdqq248iwCAlwtkGF9Tk1HBCA7FIfy8zmUIfAoQqEmH2NwGJD1OPoXlXDJeSsqv7X4/OnZ2fDaoaHBEcbonpc7sPV42QNcj46OMoQI96C8/tnRw1NrXvPq1MZCVvxdfeapwMs80MlRKbiMyUKfjCPtEeTSBK4jHRp1X0g3fwQSElliyggcRqVziWgKIGLKC7M8QaacQsJBZDlvQNBcWs26MlBqjpUWWe0jmlsLU7VVueUZk06YkFPUGxQBJ/BCruiJj0aDIghdpF0Hy/t7Zq66Yvn4eRtOccpF+val/cvuY25hKgzBXeeVAW7gRU54eKEHIQyEEE54bWLZwKI7crnCyu99+87hvlVv+0jXks1PDA0veXhgYaHWuyCLbAooZAkWlByUCxRhKFBtCDRCE88CQKXFyUCvlEvheQyuS0EIohAAzmVNPumASWTzx0BuW/9kTqRxQmk6JB0y8hg/AGoNoO6rZJCQxEIPGBNIuRzZjGzleHgaOHiYYHyKYmqWwucl+KK7Bmfo4ddvftUTH7nxLR/5tzu+NVwsFFYWSovuGDtcmaCEvKLADbyCLLg9unv6AHlVr4rgaYC5nyCEfWLzOaezBaXC5xHMrTy4f+/5jbnDbEGxgVJ+FN/6WQOHDhXQXRJwKIl4LyHSensuRSpFpcUPCHyfo+4HKiZDURemHTFGO2/Kq1SolEqIseZapRGyBxccR8B15PENH6jMcYShDBcWKdk0gOtwYiIrhqW8EOX8HJ6cmMO9T5bQVShi2ZI8igu6w76BxXeXis7WMJi4wXFmw3wujT/44F+JFSsGqyf793ohxysS4PYgzirA4CwYH598h+d55YmJ8ZsefOBnXkrsDoUTntW9MLV+60gFY1OzIEUCz3VUh18BhxGkUxT5LJDPcOQyPh7dGeDgc0AuBWTTVBY0ogSOinYEEuG5iINdLxC1rh2CQDACxiTdSLmyl002HWBsSmD3fiCXBnJp2QLGc6jphyk4hGgg7VZRKjIM9C9E/4j7i+mJ7L/39C1jG8/f3Ojs7PyTRqMxkc2VTvZP8qKOVzzAk6OzswMAJgD8LgDc9MXbIYAL16zC5YsXzVwr/NopaVrDzh3b4fsBgsAH5z48xlHMAt3lEEOLJ/HUgRA7R0sY6JRUIpOW1jXlSV7PuYzpCISRI6OMdGFSybgAfJ8j5AKuQ8GYrN3nuRylnI8lvTN4YLuPR/cWsaKHwM+FCMIALnVQylNkMy4Yy2Jh/1r0dQuUivSZHq/4rQs3+z+CIHcR7/qTfcpP6vhPB/Dk+JN3vgYA7to9MnoXgC0QfHh6YoLffMtBXuooLxtc0v3HM1MH0N3pwsNzKGefQ3fHITQCgQNTBXSkCfIZDgKBlAsUcwKZlEDDJ9g/JtAIBDIpBtfV0XocQSjgORTpFEEjAManQvg+h+fJxWM+Q+GyEPlsHZ3FSYThHJ49mIYjCNatLGNoeDFKOYJVKxaD+4c/NjExsat/+Hxa7izQlCd2ALiDOItO9ql9SYz/9ADXY3BxNwDcof8/ePAQPC/VceDA/nt37kiho8D83q7B9+eztctK+Qo2XxDitge3IyBVpDyCXNZDueRg4YIKOnJTmK5S3PUoQYq6GF7sobMgUJkT2HeQo1IL0d3hYlEX4HozeOAJhtkawcIFaRTzHpjDkE4zFAtzyBXKeM2lV6HY14WOHEU5S37s0tqnchniDg6dip6evrsajcZkqdx1sk/hS3L8f4C3Gb29PQAwCeC7AFCd2QcATzPS6HXcgK9c7qNcPgAx04DrUnieC865v2HDaR+am9v/K88dSPtvek0DW3cXsWaZg2WL65ieBSrUwUwlxGCfi1OHQjwzUsFF53k4XKFuPtv5vdmDj36IsbTLHALPpXC8Alat2oBSbwEZh9KMRw8C2DU0uPBkn6KXxXhlaUInedQn7gAhtHdk/47SrucyYkHHHO55uIzVgwzDS6qYrhD86KEUZqohhvscrF4W4u4naujKOThUIaRUGpgCxMG3vfmCk/1VXjHjPwBNa2oKATW9PgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNjo1MToxNiswMDowME/l6eoAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTY6NTE6MTYrMDA6MDA+uFFWAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 118809000
{'hecke_orbit_code': 9007542885679230, 'n': 1, 'trace_an': 4}
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id: 118809001
{'hecke_orbit_code': 9007542885679230, 'n': 2, 'trace_an': -2}
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id: 118809002
{'hecke_orbit_code': 9007542885679230, 'n': 3, 'trace_an': 4}
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id: 118809003
{'hecke_orbit_code': 9007542885679230, 'n': 4, 'trace_an': -2}
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id: 118809004
{'hecke_orbit_code': 9007542885679230, 'n': 5, 'trace_an': -2}
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id: 118809005
{'hecke_orbit_code': 9007542885679230, 'n': 6, 'trace_an': -2}
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id: 118809006
{'hecke_orbit_code': 9007542885679230, 'n': 7, 'trace_an': 2}
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id: 118809007
{'hecke_orbit_code': 9007542885679230, 'n': 8, 'trace_an': 4}
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id: 118809008
{'hecke_orbit_code': 9007542885679230, 'n': 9, 'trace_an': -4}
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id: 118809009
{'hecke_orbit_code': 9007542885679230, 'n': 10, 'trace_an': 4}
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id: 118809010
{'hecke_orbit_code': 9007542885679230, 'n': 11, 'trace_an': -4}
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id: 118809011
{'hecke_orbit_code': 9007542885679230, 'n': 12, 'trace_an': -2}
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id: 118809012
{'hecke_orbit_code': 9007542885679230, 'n': 13, 'trace_an': 0}
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id: 118809013
{'hecke_orbit_code': 9007542885679230, 'n': 14, 'trace_an': 2}
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id: 118809014
{'hecke_orbit_code': 9007542885679230, 'n': 15, 'trace_an': -14}
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id: 118809015
{'hecke_orbit_code': 9007542885679230, 'n': 16, 'trace_an': -2}
-
id: 118809016
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