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mf_newforms • Show schema
Hide schema
{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'cm_discs': [], 'conrey_index': 148, 'conrey_indexes': [148, 323, 372, 729], 'dim': 8, 'field_disc': 159390625, 'field_disc_factorization': [[5, 6], [101, 2]], 'field_poly': [25, 25, 10, -5, 21, -11, 6, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [25, -25, 10, 5, 21, 11, 6, 1, 1]], [3, [1, -2, 4, -3, 1]], [13, [841, 1015, 2456, 735, 611, -105, -4, 5, 1]]], 'hecke_orbit': 16, 'hecke_orbit_code': 67554338041496399, '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, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '847.2.f.p', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'minimal_twist': '77.2.f.a', 'nf_label': '8.0.159390625.1', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{1}q^{2}+(1-\\beta _{3})q^{3}+(\\beta _{1}-\\beta _{2}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '847.2.f', 'trace_display': [-1, 6, 3, 2], 'trace_hash': 1299133620124279468, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.689', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 0, 0, 0, 0], [0, 1, -1, -1, 0, -1, -1, -1], [1, 0, -1, -1, 0, 0, -1, -1], [0, 0, 0, 0, 0, -1, 0, -1], [0, 0, 1, 0, 0, 0, 0, 0], [-1, 1, 0, 1, 0, -1, -2, 0], [1, 0, -1, 1, 0, 0, 0, 0], [-2, 0, -1, 0, 2, -2, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -1, 0, 1, -1, -1, -1], [-2, 3, 2, 0, -2, 0, 0, -2], [0, 0, 0, 0, -1, 0, 0, 0], [0, 0, -1, -1, 1, -1, -1, -1], [1, 0, -1, -1, 0, 2, -1, 1], [2, 0, 1, 1, 0, -1, -2, -1], [0, -2, 0, 0, 1, 1, 0, 1], [1, -1, 0, -1, -2, 1, -2, 0], [-2, 2, 2, 4, 1, 0, 0, 1], [0, 0, 1, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-2, 2, -1, 0, 0, 0, -1, -2], [-3, 1, 3, 4, 0, 0, 0, 0], [-1, 0, 0, 1, 3, 0, 2, 0], [0, -1, 1, -3, 0, 1, -3, 1], [1, 0, 3, 3, 0, 0, -1, 0], [0, 0, -1, -1, 0, 0, 0, -1], [0, 3, 0, 0, -3, 0, 0, 0], [-3, 2, 0, 3, 2, -2, -1, 0], [3, -2, -3, 0, 1, 0, 0, 1], [-4, 0, 3, 0, 0, 0, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0], [-1, -2, -3, 0, 0, 0, -3, 2], [0, -1, 0, -1, 0, 0, 0, 0], [1, 1, 0, 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0], [-29, 0, 27, 27, 0, 1, 29, 1], [7, 0, -22, -22, 0, -3, -7, 12], [16, 0, 16, 16, 0, -1, -16, 2], [-5, -7, 0, 5, 9, 7, 32, 0], [0, 22, -13, -20, -8, -14, -20, -14], [-21, -1, 21, 8, -1, 0, 0, -1], [6, -7, -6, 12, 10, 0, 0, 10], [0, -8, -26, 10, 0, 8, 10, 8], [-7, -11, 0, 7, 11, 11, 11, 0], [0, 0, -3, -3, 0, 9, 0, 5], [-13, 9, 0, 0, -7, 7, 0, -9], [16, 2, -32, 0, 0, 0, -32, -2], [19, 0, -17, -17, 0, -3, -19, -7], [-20, -13, 0, 20, 1, 13, -7, 0], [-10, -10, -6, 0, 1, -1, -6, 10], [-1, -6, 0, 1, 19, 6, -3, 0], [0, 3, 3, 7, 2, -5, 7, -5], [-6, 0, 14, 14, 0, -17, 6, 4], [-22, 12, 22, 1, -6, 0, 0, -6], [-1, 0, 5, 5, 0, 9, 1, -1], [18, 0, -7, -7, 0, -15, -18, -9], [28, -13, -28, -20, 10, 0, 0, 10], [-12, 0, -1, -1, 0, 15, 12, 18], [-18, -4, 11, 0, -16, 16, 11, 4], [0, -22, -5, 13, 4, 18, 13, 18], [-12, -9, 1, 0, 4, -4, 1, 9], [-2, 5, 0, 2, 0, -5, -18, 0], [11, 6, -11, -7, 2, 0, 0, 2], [0, -9, 9, 19, 20, -11, 19, -11], [8, -6, 15, 0, 18, -18, 15, 6], [0, -15, -31, -21, 14, 1, -21, 1]], 'char_orbit_index': 6, 'field_poly': [25, 25, 10, -5, 21, -11, 6, -1, 1], 'hecke_orbit_code': 67554338041496399, 'hecke_ring_character_values': [[122, [1, 0, 0, 0, 0, 0, 0, 0]], [365, [0, 0, -1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 94655, 94655, 94655, 94655, 94655, 94655], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [0, 1, -3, -1, 0, -1, -1, -1], [1, -1, 0, -1, -4, 1, 2, 0], [-7, 0, 13, 13, 0, 2, 7, 7], [-12, 8, -11, 0, 20, -20, -11, -8], [36, -24, -36, -68, -19, 0, 0, -19], [0, -56, 148, 81, -55, 111, 81, 111]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [375, 43855, -84434, 40069, -18164, 7489, -2159, 555], [35160, -68120, 27673, -14943, 9063, -6608, -1002, -970], [-13875, -13500, 38305, -81659, 28414, -12059, 4159, -1604], [-90925, -19395, 35785, -82042, 21007, -19912, 2252, -2052], [-12035, -4035, 72554, -82441, 50856, -17466, 6691, -2667], [66675, 54640, 22635, 59219, -26434, 21519, -1464, 4024]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '847.2.f.p', 'level': 847, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3388, 'analytic_conductor': 6.763329051202448, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 6, 'char_orbit_label': 'f', 'char_order': 5, 'char_parity': 1, 'char_values': [847, 5, [122, 365], [5, 2]], 'conrey_index': 148, 'cusp_dim': 304, 'dim': 216, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 3, 13], 'hecke_orbit_code': 343630938959, 'hecke_orbit_dims': [4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 4, 8, 8, 8, 8, 8, 12, 12, 16, 16, 16, 24, 24], 'label': '847.2.f', 'level': 847, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [7, 11], 'level_radical': 77, 'mf_dim': 400, 'mf_new_dim': 216, 'num_forms': 26, 'prim_orbit_index': 3, 'relative_dim': 54, 'sturm_bound': 176, 'trace_bound': 7, 'trace_display': [4, 8, 4, 2], 'traces': [216, 4, 8, -52, 4, -6, 2, 2, -44, 16, 0, -36, 2, -3, 22, -74, 16, -15, -10, -14, -12, 0, -40, 14, -66, 10, 26, -11, 6, -12, 28, 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12, 0, -1004, -98, 322, 370, -177, -184, -20, 110, 421, 284, 0, -28, -164, 196, -152, 8, -32, 142, -40, -156, 36, 0, -486, 132, 176, 6, 16, 30, -54, 176, 246, 268, 0, 32, 251, 16, 0, 394, 224, -10, -12, -36, 104, 0, 1108, 168, 181, 34, 404, 100, 154, 16, 398, 8, 0, 208, -40, 368, 376, 540, 12, 194, -165, 96, 114, 0, -1572, 92, 144, 214, 102, 220, -134, 224, 140, 236, 0, 2272, 394, -10, -344, 68, 161, -158, 174, -334, -648, 0, -44, 30, 112, 66, -238, -332, -174, 76, 550, 40, 0, -80, -74, -256, -7, 242, -108, 32, -91, 130, -236], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 534553
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '77.2.f.a', 'target_level': 77, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534554
{'conductor': 77, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '539.2.f.d', 'target_level': 539, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 534555
{'conductor': 77, 'degree': 8, 'multiplicity': 4, 'order': 30, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 17, 'target_dim': 16, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '539.2.q.b', 'target_level': 539, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '77.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 534556
{'conductor': 77, 'degree': 8, 'multiplicity': 4, 'order': 15, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 17, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '539.2.q.c', 'target_level': 539, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '77.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 534557
{'conductor': 33, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 13, 'target_dim': 8, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '693.2.m.g', 'target_level': 693, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 534558
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '847.2.a.k', 'target_level': 847, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534559
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '847.2.a.l', 'target_level': 847, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534560
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '847.2.f.p', 'target_level': 847, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 534561
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '847.2.f.p', 'target_level': 847, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 534562
{'conductor': 11, 'degree': 4, 'multiplicity': 2, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '847.2.f.q', 'target_level': 847, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534563
{'conductor': 11, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '847.2.f.s', 'target_level': 847, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '11.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 534564
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 6, 'target_dim': 8, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '847.2.f.s', 'target_level': 847, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 534565
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '5929.2.a.bb', 'target_level': 5929, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '77.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 534566
{'conductor': 77, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '5929.2.a.bi', 'target_level': 5929, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '77.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 534567
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 60, 'target_is_minimal': False, 'target_label': '7623.2.a.ch', 'target_level': 7623, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '33.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 534568
{'conductor': 33, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 6, 'source_dim': 8, 'source_hecke_orbit': 16, 'source_is_minimal': False, 'source_label': '847.2.f.p', 'source_level': 847, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 67, 'target_is_minimal': False, 'target_label': '7623.2.a.co', 'target_level': 7623, 'twist_class_label': '77.2.f.a', 'twist_class_level': 77, 'twisting_char_label': '33.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 1404675
{'charpoly_factorization': [[[25, -25, 10, 5, 21, 11, 6, 1, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 2}
-
id: 1404676
{'charpoly_factorization': [[[1, -2, 4, -3, 1], 2]], 'hecke_orbit_code': 67554338041496399, 'p': 3}
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id: 1404677
{'charpoly_factorization': [[[1, -9, 38, -75, 121, -45, 12, -3, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 5}
-
id: 1404678
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 67554338041496399, 'p': 7}
-
id: 1404679
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 67554338041496399, 'p': 11}
-
id: 1404680
{'charpoly_factorization': [[[841, 1015, 2456, 735, 611, -105, -4, 5, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 13}
-
id: 1404681
{'charpoly_factorization': [[[5041, -2698, 3737, -3510, 1871, -570, 113, -14, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 17}
-
id: 1404682
{'charpoly_factorization': [[[21025, -8700, 7785, -750, 331, 54, 11, -6, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 19}
-
id: 1404683
{'charpoly_factorization': [[[-205, -150, -9, 8, 1], 2]], 'hecke_orbit_code': 67554338041496399, 'p': 23}
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id: 1404684
{'charpoly_factorization': [[[164025, 54675, 10935, -1215, 486, -81, 81, -6, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 29}
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id: 1404685
{'charpoly_factorization': [[[25, -225, 835, -795, 716, -279, 91, -14, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 31}
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id: 1404686
{'charpoly_factorization': [[[25, -125, 290, -335, 281, -121, 26, -1, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 37}
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id: 1404687
{'charpoly_factorization': [[[6241, -14694, 18338, -13470, 6796, -1620, 227, -18, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 41}
-
id: 1404688
{'charpoly_factorization': [[[-41, -4, 1], 4]], 'hecke_orbit_code': 67554338041496399, 'p': 43}
-
id: 1404689
{'charpoly_factorization': [[[93025, -277550, 337235, -95655, 18986, -2163, 179, -7, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 47}
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id: 1404690
{'charpoly_factorization': [[[755161, -1036717, 627048, -175979, 27105, -2269, 238, -7, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 53}
-
id: 1404691
{'charpoly_factorization': [[[1413721, 1278175, 447889, -4875, 6056, -675, 109, 0, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 59}
-
id: 1404692
{'charpoly_factorization': [[[990025, -1835775, 1406165, -290595, 47866, -4203, 269, -12, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 61}
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id: 1404693
{'charpoly_factorization': [[[-199, 45, 67, 15, 1], 2]], 'hecke_orbit_code': 67554338041496399, 'p': 67}
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id: 1404694
{'charpoly_factorization': [[[982081, -908747, 377797, -68075, 16036, -2485, 293, -21, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 71}
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id: 1404695
{'charpoly_factorization': [[[24750625, 1766125, 692025, 94595, 14036, -397, 69, -8, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 73}
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id: 1404696
{'charpoly_factorization': [[[73441, -37127, 20772, -4255, 771, 5, -2, -1, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 79}
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id: 1404697
{'charpoly_factorization': [[[5040025, -4299175, 1400435, 59475, 23816, 4083, 479, 22, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 83}
-
id: 1404698
{'charpoly_factorization': [[[-755, -1120, -44, 17, 1], 2]], 'hecke_orbit_code': 67554338041496399, 'p': 89}
-
id: 1404699
{'charpoly_factorization': [[[17850625, 4119375, 2408250, -4875, -4475, 375, 230, 15, 1], 1]], 'hecke_orbit_code': 67554338041496399, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 6, 'hecke_orbit': 16, 'label': '847.2.f.p', 'level': 847, 'portrait': 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DUsTBvmpxKWuwHdoWAUe6wMBJumDEsdw4nziprns2kWti2EbJwbsWFuzKa5Mds2WnZsUly53aOumhw90ebrT/s8eiDmyeMRierxhpd2eMttlrqa48DxaY6e0Zy+kHAuBfehRctNV1/k33//CtvnpzhzYZoLKzWWOh7LHclKL6E3SBiMBYeOL3L0zOqVTx5ZvH3fyeVdB08tff7WV789vO/zH/lWQ+IvdPsbzeCLyx00FgO//NATh2/7d//9U/I1Nx6+7ae+87Re7s6z0m2y0q2z1PFZ6miWOrDcSVjuRCytJpxbhcNLgoX5VX7hB5Z40d4GJ8/PcuZCkzOLmvNLlnOLMacuJlzoxUzPjnjJtX1efAX4sk6gAs4v1zi7qDm3LBiMIY4NNd/QrCXMTMUY4Pi5mG4fdm70aNbHWCtA+PSHhh2bxiytarBOiqz2YRyDxbLcCdm6waM3VAhlEWZMu+axY/OI1YHg+BlNYjRzbUmrJgg8iGPBYCw5tyw5u2Q5vxITBCPwYm65qs9tVwsW2nWWVtqcPB9wZhHOL8acX445vQyHlywvvGqR//gDK2yabnPi3CznlupcXPFZ7EiWVxNWuhEr3YSVnmWpD2d7gsXVIb/2U2H85tunv9bc8A9NbWrv12LDz9Y9gRf8zc2O/o1l8He//2PcftuN/LN/+a9/6Y8/edf/8ft//KVL9x1f2fXcqYG8/dpV9mxJSIzGGInFsTdWAhIQCGHRwuJLOLNU58FDkmv3LHPF9hGNGnha4nsK39c065KGJxn0PfYfq/HFR32OXxjTjSP2nxyzcW6ZN75khWsv7fHCKzocW4xZHAgawYgjZyydbpNrLpGsjhL2HVO0GppnjsNlWyyjMGGU+GgdMdOC504GKJ3gyRjtwXAsedEVA4YDybWXJnSHCcfPtNi9SdFshKyOLRumB6z0u3zkLnj8aMKTR0fs3LLEdZd3mZkNef0tPb77ZZY9m1ok0TRHT09x+JTHyXOGUxciTl1IOHxBcGI14gV7L/ILP9Bj4/Q0J8/Ncn6pwcVVn6WOZKWT0OlFrPYTOn3LygDO9xWL3ZgXXn6Rn3jjovQFu86eObU7Csc3z87uqAf12S899fAneNfvfOhbDZl1b38jGfyDH/oTbrp2u/rCV/f/X0eOnfu5J549ppa7ISsjzck+XLX9PP/5Jy5w/Z4G55ZmWO40WO7UWO54LHc1Kz1Y6SSsdGOWezGLHTi5ItD1Ebdevcz3vCxk94Ymq/02F5brXFz2WewIljtOIqz0DN2hoTu2DEYxc+2IHRsNIAg8y6kLHkIG7Nyg2L3FsmXDgPMrY5442OLGyyyN+gpPH5ql1QwJQ4+5GcNwBFfuGPHBu6a5fHvMeGyZn5JEyZBWLeCZYyPqXpPr98Y8eSTk/JLP1rmA3Zthx6YQpSJOLYLvWYSw7NwYM9OS9IYB/YFHd+Cx3FUsr8JSx7DcSVjsJJzrwNIoYcfWPt9zxyK3XqGpeW3OLrZZXKmxuKpZ6gpWO4bVXsRKL2G1b1nuw7me4txqzIsuP8+v/PgSl25pcXFlitVuQJg0CZqXJH598y91xlf8x7o+kdx2x9/9VkNnze1vFMAPHjxArVarnz1zesfDjz799kNHT//icwdPEcaSQQidoeDCQHG6G3PjJef59Z9Y4rpL6lxYmWFppcFKr8Zy12Olq1npQqdnWO3FrPRilruW8x3Bmb4F0ectL+3w+hcZLtlcIwwbrHRqrPZ9Oj3FSl/QGwhGY0sYW5IElLQEHtQDy3TbsmE2QnsjDp8NeepQgImbvPbmEO2t8si+KXZths8+GPPSawIudIbUtCJOImZnII48tBeztNTgJTd0+ez9LXZvhocPjvFo8JoXGWIx5KnDCUdP1dDSZ+OMZqYpqAcC3xcoAbGBMLKMQugNLKt9Q29gWB0YlvqWYZKwc9uA17+4w1tuC8G0WFqd4sJy3entrmalA6u9hE4/ZjUF98oAznQVF7sJL9x7nl/9iQtctaPBxZVpVnoNun2f/lDT6wv8xjb8+qZ/t7Dlij/evn3bifFoNNy7d++3Gkr57W8MwI8fP8iGDfP+gQOHf+jgwUPveviRJ8TFxZ4cjg2DsWEwsvRGsDoUnB8ozvYiXnTpBX71R5e44dIai6vTLK42We0GrPZ8Vnqa1Z6g07N0+gmrvZhO37DSt1zoCc52DDPTA77jhT1uuSJm50ZFu+7R7dUIPAkowlhijMBYGIwAYZhpjTh42mJsyJ0PNxkP6ly61efWawdEZpV7Hp3m+ss8Dp7r01lp8+JrB3zpkYCNs5Z9xy3/9M1d9h0L2Dgr+eKjiluvVCwPuhw5Ocv1e0PueWpIPG5wy1U+e7aPGMZ9vvCIgkRw+JSm3dBoAYOhxFhBYixRDEiD9g2dvqXZiti+ecxtVw74jhtj5po1zi9PsbRaZ6Xrjs1KV9DpQ6cX0+nHdPoJnYFleSA51xMs9mJuvvwiv/ijF7lud43FlWlWew06/YDuwGMwVPRHiu5AMI5rZs9l19rdu/e8Y9cll7x/aXExvPKKy7/VkAL+hgA8jiMZhsM3PvbAZy/t9JN3PvDAI94ohFFoGQxjBqMC5N0hdIaSC0PJmU7MLVde4Jd/9CI37vFZ7U5xcaVFp19jteez2td0eorOAHp9S3cQ0+0n9IeGzsBysS+42IcoGXPdZUM2zSb0B5bXvXjMrk2GOJFoaQkjuPuJGicu1Ng8E/P04RqYBldsU9xwuSGoDXjk4ICLi02u3tWkPb3C/U963HRZjaXBKisrbTZtsjy4T/H3X9HnoX2abRs8FvsdVpZnueHKAfc/nTBbn+bqS/tc6HR48Nlp6rrJCy+37N0xAtnniaOCDbMR5y9G3POExyhSSAmJsezaHPIdLw7p9RVbZgw3XAZh2EjlW8Bq36M7UHT6km4fuoOEbt+5Jd2BYXVgWR5KTncFneGYW/de5D/9yAo3XhZwfnmaTq9Od+DA3RtoBiNFfyjpDYVzXIYx113/wiix6t+8/bu/81CzUf9z3/fMtxpb3/JMZhT2SeLBD5w98fBvLJ4/MHv2/CrtpkQpFyiCxQWNIDCARQiDlBYpNQ8d2MjPvlfz5luX+d5XLLN7a8i5pTaBX6ce+DQCj2Zd06tLWkOPqaZmMEroDxM2jg3DsaU3Cli+WOPUSUsYG06fiwkC93d9ZdFSMBgqBB7xQPOCXYI9Wyw7tg4YJz0+95DiuUMzvPrGgBuuXOEDn7P4osGurQOevF+xdVox3x5QU3XCyONCD5o1zbaNgsefC7lhb52XXb/I7316iO+1eNXNFi8Y8OUHQz77QJNnj9a5ZEuDXZsTFmZCds9HXLMrQSmDVu4YNYKAhemAMPLoDXyePujRH+mUaSX9IfRHlv7AffbeMKE/tHSHltUhXBwozq9YGlMdfvK1F/m7t4659pIGZxfbdPp1eim4+0NFf6gYjCT9kWA4sowjGEWWu+990GtNzf3G/PyDy6+84+Z/2e0Nfq/davzvC/A46iMQP3L+1H2/fPzAl2fHwyE138cYhVtcRPoWEwdwAUK4TholLVom+FLy5MEFHjvQ5OCZC7z5tj63XTViutVmudOg2a3RHvr0B5peerKHI81grBmNLaPQEEaWKLLEibuHsY81IJXA04KaL5huCWZasGnesG3jgPmZDp9/BO59zEOaKV59o8cLruhx37MR4ajNrS8QdIZDLiw1uWWvYX56QF0HjGLFxW6EMoIX7NU0WmMe3V/j9humePF1PR7dr8BOceNVPj/8hmW+9HjIFx9qsu9EjR0Lik2zdWZaDaZaUA/A0xYlwVjYd1SQJIIoFoQxDnhjy2icMBwbRmOTr4b9IXTHcLEvudCDsRnxyuuXeeNtHf7eqwxx3ObcYpNuv0Zv6NMblsEtGKTgHowNo1FMGFpGY8O5o2c59ZHPz/ZG5v/3XW+8XXe6g/dOtb91IP+WAXzQXyWK+eGzx+795fPH79yQhD0aQQAYl7CxUFh+CiEEUpKCG5SyaGXxlKHuCRYHdT581za+/FiXl16zyve/cpVrdveZm26wtNqgNwwYDL0U2MrdQ8E4kkSxII7dUu/+rgsqtYaaD426YbYVsXXDgJg+B09HfOSeGkdONpkO6tx0leaWa7s8eKDDnV9vc/NlNXZsHvDBuwRKBLRbEav9McaCErDQHtDt+Zi4zhtfeoEPf7bBnvM1Xn/zgDBa4p6n5oiSGi+6agOvv6nLZds7fPnRAU+ebPDEUZ9ts5LZtqARCHzPXYQyvfiNBWMsUZxerJFlHLkLeRTCMITeSLAyFiz3QOgR11++yvd/xyovvSphrl1npdug03Os3R+6lSBj7cFYMhzBIL1wRiN38QxDSxiDRXFhscOHPvbFDZ6yv/ym173ELi6t/O783Mz/HgBfPPwuIhboX/izH+z3R+88f3rffDRexfNcSsdY4TxtSElcIoRACImSGikTlBLp8mzwlMXXlroWrIwUS50ZPnp3kwee7nPrdat8/6tWuX5Ph7mkThwHDEY1+kOP4VgTRooolsSJJDECY4XLggpL4BsatZjAD/G9MaeXxnz6YcmhUz5HT82gTMCezT5X7lbceEUXFVzkqcMttk43uPoS2LSwwnK3zTVbJbGxfP6hgPFAMt2Mec2LRvz5PREnzrW4/FKPs6sjnjnisX3jDNftvsh9T/a4/xnBOPS5YvcsV2wPuGJbj8Nnlzl0Gh56rsHBI00aWhBoSTOw1DyQ0h0ya93FGicQxhAmgv5Y0B0JuhGEJsbYES+8rMv3f0eXl16TsHk2YDSaYqlTo9cP6I98BkNNf6QYjBTDsWA4kgzHrm90NE6cx5/KvFFoGEVlkK/yhx/78oZnD51/Z1Bvxr/x7k994Lnjq/zWf/oHf3sB/n+88wPMXfIZDj99+9/TyfHfHHZOTde1wG9oogSksAgsCJuyNo6tpUApgVYqfTRoleBpge8ZfM8SeJaGnzBdE/TGHivdGT5+b5u7nhixcWbA2+/ocMX2EaNhn6t3W7ZvUowjjyQp0vwCi5QGTyccP285ek6wOjR86r4GpxdnsKHHTE2xZU6zc5Pmkq1w9Z4uRi7y7j9vsrw8xc1XaK7e0+HLTwhE7LFhRtJsxAwiH2klWInSPp2R4Pyy4Crb4I4be3zt0Tpb5n1uvnqWf/SGRd7/2R4P7W/SH3ksrbbYvaXO5ZsHvGhvj++6vceZ5WU+dV/A0iDg+FmP06d9PCWQUiIQGGtJDETGksSGmbmIa68aMB5HXLF9zFvvGLNhSjHbCoiiGmcv1hgMfQZjz5UWjxSDsWI4lg7cY8FojAPyOGEUGsZhwii0pTuMY8E4gijRHDjZ5ZnjD8xfesnW33zRCzZHv/Wfdv3RmUO/yZZLf+pvH8B/8T9/iJ97w23iR/4db5sJnnnPd930aOPq3QG9YcA49IgiDy01UlqEtCjhGElJi5QSJSVaCbRKH7XA0wm+FvjaUPMs9cjSCC1TtYSZumAQSnphk6OnmvzqH82CiRFxzI3XDti9KSSOwViDtS6JI4VAKoH2fPaf8Nl3qEazpmn5kvmGYGFOsmFWs2VBsXNzwuU7V0nEEv/tE22On5jm5r0eV+xKGMY9vv5UwHTdY27KMt0KadSdFDJG0hkplvuWpU5Cp1/nJVev8vC+Ac+dUEy3a7zoqml+9I1L/I9PwqOHmvSHltWe5vxym03zDTbMjNg5N+Jfv21Au9HhyaOw/6TE8yxKuSAcrPvPQhzDrk0Jt14Tk0QeURxgbYNR6HFu0Wc4divaKFS5fBuGgtFYMAoda49Dl5Udh4bx2DCKTPo1yyiyjEMYRYJhBKNYMIgFvVjSHxqmlp+afumV596zenwlPnLmn3/02DOzdtfVP/C3B+C/8J8/zMLGafWzH7vrLedPn/vA+++/WHtqX51f/fFV9m4b0xvWGY4ClPaQ0qCkCyKVMiipUEqlelviaZEyt2LsScahIQgTxpGlHhnGkSEMLe0YxpFhHEMYC0aRZJwEREmN5w41eeI5SKzFQdtpY0+Cr1zNRyuAqzdDuw5TTclMSzE3rdkwCzs2jdm8sEpkl/lvn5ji8JEpbrhEcck2yZ5tK3zlmZjzS1PcuFsy0zbU/CGBDLBKECcSYS1xErLSr3F+yeOGK+q8YG+P+x6tsXFG0Ki1uGGv4SffssRvftLwzOkWq33Dak9xcUUzP91kpl1npj1FuxGx0IzYeUNI4MV4OkapBClcMGFxF1UUKS5c1ESxIooVYaQYR+ljKBlHknEoGYWScehYeBQKxqF1oI4M49AQZsCOsq+7n8uA3Y8E3UjQCy3j8ZgX7FjmF3/4IrftudBYutj8wEzzPSZobP7EiX0fSHZc+YPf/gB//wc+zOxUTR0+df6tx0+c/b0nnjlWazcafP7hDfi/m/Aff7TDFdtiPB0xGNXQ0mlrpSxKaZS0eMriaYWnLV4o8T3hToInGPuKMHJAjyJLGCfOFYlL9wTixJIkhsTg9LYhB3cmhbQEz4NAC2qBoBFImg3FVEMyMyXYMBuzc9OAVnOVT3wt5J6nZlldbHPtDsXOzR6XbR+RiFU+/1CDpqdZmFG0GiOeOgzPHtFcs90yGCuuuyzi2j2Wc2cTLq74DEcNXntTj68+OeTgaUWzLgn8NtdcYviPP7jE3c8M+fO751nqWnZuSFjpaKbbiqmmR6vh0axbaoEh8A2BTtDKSS0p3TmwFpewMoLYSOJEEMeCKJaEsSCKJOPIOS9hJAgjSxjCOEoIoxTUKXGMo/K9YO1hJOhFkk4Mg7GBeMAN25f5+R9Z4tU3SBZXW/S7h2p4/h9cWGn8w0G86WP33f0nyUvu+K5vb4AfvGClPdf53t6F07915PDRWruuiUaCYb3Bn319E2Go+O47OrztFT1m2zE9FaNUgFYJWnl4yuB7Ci/UBFox8hzTjD1J6AvCSLiTEymiGMJIOgchLmy/ODEkiXMXEps6JalbkrkzSjrZ42tB4EtqgaRZF7QblumWYePsmIWZHrFd5aNflbz/s3NsqNW4dodgx2aPXVsMOzev8ImvW5aXa1yxSTHThlYj4vwxyYWVAH83jCPBwpRkehoOHrWsdA3nFmtctqvGK27s8el7a8y1IPB9lJzmmj2CH3v9BTx5gT+7b4ZnT9fY2I3YMB0z1VS06opGXVIPNIEPgQdaO4dJCpCiBHLchZ0YSBJBnJACHaLEBYhRlDhSiAxh9hiZ1HbMXJnUgoxFibUl3cgQjiKmgh7f85pF3vayHq+4XrLaazIKPeKkxtLSyZr16u/ZuWOofV9+CMcz354A/8+//ackxvzgvQ8d+fULp463hVR4EhraEvqCVZp8/iHJ158OOLeyxD/9rj4z7Yha4DKOWid4OiGMNJ6XEHoaP3TSJIxcKt0xjnBMlLJSHEOUQJI4J8EYF3AZY7MezhTcDuAucBV42gGkFkCjZmjVY6ZbMQvTQ+ZnVvnacyF/cGed/Uen2TXlsWcTbNvks20jXL6jyyDu8uC+NnXlsTCjmG7BdGvMzFSM72uEcBfXcOyz3I1YHVg6/ZgLKz47NrV48RUXuPOhAftPt2kEEZ7yEWKKPVsV/+BVi7zw8gv8wZ0tHnx6mqW+ZkM7ZroR06hJ6jVF4AkCT+J5LlZRitQ+dCi3uB5WY8iBHicmXd1SazE2xIkDdxxBGNviHjlXZhQ7UnE6W9CLYTiMMfGIuXqXd3z3Ev/q+wbU/YBOp8FgVCOMNHEi8bQkig6249GG/9ZsXuufOfTH799y6du//QC+uNRBKfkjv/k7n/jlk8dOzWkpkUKgJNS0Zco6fdht1+mMFL/+xz77Dq/wxtv73HF9j43zY3q9OsOxC0KD2GPsaQLf2XsZwKNIEsZu2Y3i1NNOSK0/UuaWGEsBbpekTJkbtHIJE9+z1HxDvRbTqsXMtMdsnu9yvjPgXZ/y+PzDsyyvNLl0QbBjg2DrBp9tGwS7t4zQ/iofvkdz5GSTvRslMy3JVDNByjGnL1oCLZECrBWEkWbnhi4PkdAdKFa6lvPLdfZuq/Fdd3T42Jd9jp0P8HSEEB7GNoliyY27V9j5fV0+/+iAD35+lkeONdk6I5hvJjRrCTVfEHgC33Oxila4wFmKvCbD4i4yY3FOS+IAn4E8Tpykc2CHMHG1LmGWPIoFwxgXQMYwDA3xIGTbfJeX3bjCm1464LUvNGgaLK/UGUcB4zAgjDRJIhECfN+yunx2zqtf+s5dV75dhaPV9/q16W8fgC8tr+L7+h996jP3/PLjTzy9oRUYEK4wyCNXB2lwJ+iJgG6o+fBXAu5+sscNV3T5vle6Kri56YDhKGA49gk8jzD2CCOdB0pxrIgSSRxLokQQx5IkESRGFFrbCHJVYh1zS0Gq820qgwyBn1APYlr1MfPTfYbRkC8/ZfnIV6Z48OlpZnyPa7ZaNs9KNs75bFmQbNsYcsnWFZ48NuRTX11gSmkWpgTtpqDdiOgMEj779Rot3yKEA9ZwrHnjrWM+84Crien0DRdWNNs2tHjzbX0efK7HvoM+zSBGSeFAbhqMQqf1/8ErOuzdfIEP393l/menObFSZ1NbMFWzNHxDTRt8D7RyhOISZO5zZ+VHJpVqxhQrXJwC3REERIkgSlJgJyJ3R/oJLuYJQ5r1Ad/z6mW+91VdbtybsHHGYzBqstoPCMOAceQRhl6ec3DnRjOyEJ7Yv0F69/3y9j0vM8NB5331xl9/48RfK8CXl1cZDPooKX7gS1/+6q995nNfnuv1VqkHMl8SlXR+d6YPlbT4UtBTioHX5FQ34MwDDR54qs/Hru3x1lcMec2tI2anfcJxwDj2CCNnK2aOQJwo4iRN2CQFwI1NmdsUNWVC2DSodHUcWht8LyHwI+pBSKs+JGHIlx6V/NFd0zx9dAoRBeyasWyetsxPKxZmfTbNS7YsROzY1OXkxR6//edN4nGdbdsE0y1NuwntRoTwQrrDJtMtixAuQxvFktlAEZuYXuTTGySsdBWnL9a56pIWP/6dq7zzQwHHLzbRKkovDE0c1xiFkk1zATde2uXaS/o8c/w0H/lKnTsfmeZMp04zULR8aHouAeYp0NKl8109T3EzgDXuokuMILEQJ8L554kgTFySaJgIhgkMY0scx5hozFxtyGtfucrbX9njpdfETNU1YdxkuRMQRj5h5M7TOFJE0dqkWmIEvX6X1e7dGwZj/Wu7L7s5Pn/hzO+3G03qzb8+oP+1Arw3GNKoN9/0ta8//D8+94UvtUeDDq26IknIGUIlBbilcAdeC/Al1JWgr3wGsebCuMafPdDknqcHvOiLff7Zd/e4ckeXDdOKdkO7gxh7xLHOQZ5kADcSYyXWUkr7Z8xt0jS/QeuYwI/xVEh3GHGxG/FfP1Hj6IUZHt03jTU+c3XBhnnL/JRgrq2Ym/bYOCfZNBezdWHA3PQKn3/M8Miz01y7TTDTkrQaknbD0KyHCG9MEGi0cn/fWkgSyXCsGY4iYiPoDQ29vmW563Fuqc0tl/d58VWrfPiLNerLCi0jB0iriROfMHI9nvPTNV64p88LL+3z0MvOcPyi5A/unObCaoNTSwG+kjQ9gZ/JMOmOfU7kmVTBMXlsBbGByAjGCYxiCI2FJIY4QqoxW2aGXLvTnY+brkxo1zVx3KTT8xlHPlGsUwJShLEmjBVRCm7H4KmLkwjiRDPu91l96O45a/X/uPzKG1bGo+Gn/jox+dcG8CNHDrF96yb1nvd96NJn9+1vr66uUq/pfMlLEos2EEvhPG5pUTFoKdDS4seWIBHUlWCoBQMdMEw8lsIGdz4yxdeeHdIMxvzD13XYPhezc8uQW67uoYVrERPCyRWXlZTVlD8gyBJIzjO3xCBjnjkqefg5zacfbPHMiRZh3KClFQt1y2zTMtOwzgdva2anNHPTgk2zMVsWhmxeWOGep8e8+9Mb2DytWWhDu6loNwWtRkw9GPO1A4pRqPGaDlTWCsJYUtOK6/cOeeCpaVf4NExY7XosrgacX5zhx19/nlOLSzzw+AKeBESEAeIUQONQ0h9qZlo1pttNXrx3wMuuHfB9L7/IcycNn3mwxoPP1TlwpEksNOOxYhApVF76UA4805yANcTGYo3BEwlTfkiNiBff0Gf35hHb5iO+/zVj6r6iWdOEUYNOz7F1HKuUcFTK1tld5vdslY1LDk6cCAbDDvue/mp7dfXspS99+dvVoUOHkksvvfRvDsAfefwZemHTf+yxh39opm1/PQ47NBs+xpCDOVYu4JPSoqTIs5QqsegEIiXwEkuQWGqJoKFTFkk0w0QzSGr0egm/9uEZbByxcWHEVTtGzE3FvPUVQ3ZsCIkikeptCSXmJtWfUhqEFHz87jpPHm4itOb4mQanzzeo1RVTgWC6aWnXDO0atOqCqYai3VLMtDRz0zA/HbNxbsTWDV0Su8rHv9pm2G9y2TZLu6FoNSStuqFVi/G8kM8/UGM8kHgbXOlYJlGadcVrXzTk3scM/bGkP0zoDjSrPc25pQZX7m7x1pd2efSZBseXWyhpgCjVyx5RohhHLjHTH2k6fZ9WvUGzPubKbSNuvnzEyQsdjp1dRXsJTxzRfOwrDYRyhWsIWT2J1gAGrCUKE3ZujHn7K4bMtxMu32nZOAdJ7DEOW8Sxx0rPI44UUVIkj+J0JQ1jRRxncVEW+EtnSSYitShL91hy5PgqRse//tijDw5uuHHL+0+feCLcuuMFfzMAfvjwcbR3bm9n5ey7jux/RNZ85xjEsSWWxtlwiSVOtWCinFSJk/TrCXhJlpARBMZSS78fGkuYCEIjGCUeofGIDFzst/nKkwZLwp8+6EY2YE16z7J4qUUmsopEiVSKONJIo/G0pBXA7gVL0zM0AkMjgEYgaNYlrbqTQ1MtyUwb5qZiFmbGbFnokbDCf/2TGvc9tYE9czDTSNm7IWnVYxr1kGZjSL3eIFASJVMNjpMDUeQxGgqG44TeWNEfGXpD41rmmj6nzk/xkqvG/OTbzvMbH9OcWA0QwmBthEksUewRRpLR2JWxtoaaZs2nUa/RCBrUgohWPeTGy0J8L+Kmy2K+/5UDtIrTJJBx9fZlUZ5KOmMkQkgCTwE+o7FmaUW7up0ki3nSeyzzxyiRJOljxtTOtp0AdCJI0nPtjAEYhpb7v/6QnGmbdx1p9r7a74+f/uvA5v9jgH/6z/+U+bl6/elnD7/lmWcPCF87D9bi2FomwmUQJchUnsTG5pnDWJFG7RYvgTiL6BNBbGwe2SdGEGWvjSA0kthKEqOJTECS2l7lW56lFKCFcJlKBbW6paYtNZUQeBBoqPmWeiCo+5JGXdKoaQfwpmC6ZZhtx8xNj9kw22fLhiXe/WnDB+/cyPZpxXzL0G4qWg1FswGNekKrHnF2yXD4bEDNd6sVZJV+glGo2b3JsGl+RHfkMxzZlMUlqz1Nq16j1Zjm+195gSNnz/GeT21FS1dxmZiE2FiiWDMOFcPQFUUNapLGSFMPPOpBQqfnYgzfc/kEz0vQ0jVKSOnS+SK9k9q2IFKQCzomrbI0Lq5JEokxDtDZawfYLMAXJQnyjYEdG0GS5ivixB2Tek2zb98+0e3Fb5me3334zz71yeF3vunN31qAX3lJ4q+snPoZG138mVY9lqAwFoSQxNIipSWRkKRSxbG3IFG20OUJuWftglH3vSTLuhlX/pmn2dNKOeflijxQKmtuKAJZKXAlAJK0pgU8JfC0db6xFtQCSc2X1ANFvaZo1SWthmWqmTDdipltj5mfGbBj4xIPHhjz4bu3MFML2NgytBvCgbsuadYMzVpMqzHmwf3wxHMNLl2wqe4t0ubDseKmyy2X7Rjy0NPTDMaW4SihP9QpyD0atTr12jTfc/syTxy4wAP7NoFVGJO4ctjYEkc2rycZjjWNkaVeU9R8Q+B7BH5CoE2aNMvKIExaxOZKg8mqOFNaKIJzV0JsMkfKZPZryYrNgG0yAMs8S5qYdcBt3GOSZMm47Pw72/Lk2bFcHZ75v2aXA9/zG78EhN8ygA9HAxmFw58/fPiD/3LUP+u3mx5RnL5pKVCJIJaWRAoSaR2ojdPdSVK81ilDJ8Zi0gOT5NlHHDunIDdpJi5LVlhrKWXeKytu7tbIouxWK+EAnhdtuexf4CtqgaIeCBp1QatuaTcSppox060xc1NDtiys8MD+IT//exs5cWqaS+YN0w1o1xXNuqJZg2YtoV6L8L0RnZFFSYWnLFIW78ydeEkU+7TrEYPYMEjrrAejhN5A0qkrGr2AWtBi16aI//hDHf7DByRf37cRi8JYQ5IY4iQmjA1hpBiFimEgqY8VNV8S+JbAVwTa4HnO79cqLWJTDuAqlSlC2GqDbpratymJ2LSWJUkBn5ji0RGTTB9TjW2K5zlrJ6lbkxFZYlPQuzohk2ZTz1086e8y9X/zU+/4Ae8fDgf/rl5v/JXT+X9lgA/6XUwc/dJTj33tnx8/cbqmtaKGRQpBLEGl0kMmAiMFscpY2WJKYE8Si1E2Z2ljbO6Zm9yjBWus6yJPS0DLdyYAXrS3peAWWU25s8t02ormaUnguwFAtcCNZKgHlmbN0GoktBsRU62Q2faQLQurPPDcgP/w/nn2n5hl56xzWFp1SbMhHXvXLY1aQqMWESUhf/jFFlIpvLT8N2dwmy3lHv/g1St84ZGQXhgwSAHeHyp6fUUn0NT8gMBrc/n2mF/84SX+/fsF9z+9EWMliXFp9Sh2hWbj0DCuuXLXIBDUPEHgu8ymr22esdXKIJUtchKyBPAi5QmkJILLJTi3JQ3kMwCnUwdMnlwjZXfyFTdfmXOAp+c7I7rEpA0arlRAKsWZ08drX77rnn/x2te8UnS63Z+darf/3wX44vkjWGtefOrYo3VMiFYuDZulwJNE5MyZSFBGOCbP08MZuAtglxnamKL9ygFduDqKDNTZgZ94XxnAsxqMLJOXsbfWWd2JxPOkq9/wBbXAzTxpBAnNugN3uxky3R6yMN3hwecG/Pz7Znnm+DzbZgRzzZI0qWmaNVe/Uq/F1IMQzxtzemkGTwmUNKktVwSZSSKJY8XmGUscR3SjWtopYxiOEnojSX2gqPkevlfD01NcsS3mF//RRf7t78IDz24gMdIBPLFEcZIyuWEcGGqhZOSrXIJ5HnjaSTRXp2LRMo2TBIj0cR2MO7lCmhRC5MkhkyaHsmxxkpSSRqV6lySXoDZfiZNchppUsth0RXI/MxiE3H3vw/UdO3a9WEr5zeD41wvw04c+xVS703jw/rt8xTL1WpHiFcItxw7UOFCr0gdNHNCNsSSaHOwFmMsypPiezeRI9vx53psURRGVzANbkaatZdookckTqHkQ+IZ6zVIPnH5u1CPajZDp5pD5mQ6PHBzx7987w1PHF9gyrVhoGqbqglZN0qgpGnVBveYuDpfqD3lgn6A/8qmpNHsrnQbPmhASI4hiTbOmuOXqHg8+02YQOZkyHCcMhopeoAh8he/5qX6e5srthl/50Qv89O/A/fs2EBlJZEzaLF30YI59SeAbx95eUUevVXYnlSmFjJNplnc9kGdJIZsBPAV8kjsvVFfeTFomVQLLV21TrNrZ67wexrgmjZNnV3jv73/K/zvf+Xcav/37nxn8xA/8nf/1AF+6cJx6a8f0mUMf+m1f9W4PvBDwkLFBStcVo4Rj7dik2jtbtiQpY6dXvAGjxPqsXQK0yYFdNAWTau/8ZAiRtXA6cKdFRioHOKi0YtDT4Hvge4aanxZYBQn1VF606mOmWkNmWl0ePzTm3793hieObWDTtGahYZiqQ7MmaNYVjbqikbN3Qi2IaTVG3POEz2qnxsxMkSbPAGNSbRolig1zile+oM89DxvXRROaEsglNU9S8zSe9tG6jpSGK7dbfvlHL/DTv2O5f/8GIqOJ0gpAV/bqmDyIZF5d6GuJ1mkRlhQonR0b8veXXYSZVBFZVRpFQmjybkqPxpQe85W3tDqb9YGdGwhZUtA4y3g4SmB5ePvhQ0d+91+/460/8R23HVu97LJd/2sBPh6cIh6f/+nli8e+dzRcxNMB1hoEMg/qHLid151IF2FnOtuUGw5ynZ2CPU3OZOxdCSQnmTtFepaRy7W3zCroCt2dVQxqhavP0BbPc43FNd9Q8xPqtZhGLaJZG9NqjJid6vDogTE/8zvzPH5kIxumPTY0EqYaNgV3yt41ST1w7F8LYhpBSGzG9MIAoSRexuC5BhfpMp4mQiKPpj9y5QJhjZkM5KOEge8YPPAlntZ4OtuA1nLNLss7f+I8/+dvGe5/biOR0YwTQZiYlMUFtcgQeBbfc219Oo07tHIlwkrK9PikXfnZY6kwK78wy7HOBLhzEioRUxnceVxli+dloJukeB6nK30UW6wVnD2/xP79R7/3y/c8dngcRv/2fymDW7sf2LbzxDO/c62Nj+NpCbELWjKwSSGJhUUaF1wmBpSxaUdJVtRjSwAXaUEUlQAyA/tkPYktr5kZa5eDymy5TX12lQZTWqedQWkRUlY9WPOSVDdH1GtjZtoDppo9HtgX87PvnuexIxtZmNIs1BOmapZWCu56zdmJGbjrQULNj2k3Q/Yds9z9aBNfSjxl0iCu8CiywDlKFLHR3HFjxKWX9Dl8os5Cg6KJd5wwGKUsrBVae3lmWAjL1TvhV35skX/7O4avPrPAKKozTiRhbGmkNdyBhwO5zlYvk/e2SpXkK5ySogRwUQI5a/RKAXJbBXhppS0AzjordLVGP6kAPsuLuOdCKp45eJaPfPrha3/+Z390532Pnzz+kuu3//UD/J5HTvHFh2d3bap/9b80xmffpEUXpRokxmUqwVR0b5KCurCTUpBbm4O6YPASqE0pci+7JGvckpS5J8EtLFJltqADg1Ypa2uLrw2eZwg8Q+DH1PyYWhDSqI2ZnRqw0htw79PwK3+0iScPzTOfgnu6bmnVBc2ayL1y57wYx96+A3g9GBMmCaNhjZpyF5kUolLJlyVSXKCpnZbXY8ahZRiJEsANvp/gexrPk26qgPRygCPgut2CX/mJFX7tQzH3PzfHmU6bUVMynVhasaWWThwIPJt6/5mTYnP2zqRKBvD8/aZvuozzXCGmJ8Xm56oE9gkmLySMnXjMrN/CPiwDPTFO859fHnF6aelNTz97V/KqW676F9YeOCbEX2zA518Y4N3lUyi9cvOzR4++ZcqeZGG6DtYBWmMQOM0rE4sSgsTKdDkqWUlGlECeLdfuZ6paey3As0NcVoXZSXDjHjL2tkWdSz4cyJXFetrg5+WxDtyBn4J7ts/FlSG//IcNPvX1BRb7MyxMSRZqKbhrTnc30sCyHkgagU0Z3GnvWhACIXc97rMS+cwFVOqxEdUVKklc80M70LzihgEP7A/pRQFTece6wR+7WnVfO4BrZVHSQ0iXoMHCFdslv/HPunzmgSG/9L6NnFqcYTitmfYFrdjQiCGI3OhlX7mBRl4WaEqRB8HZYzlQL1+YQuS9Ivn5IT9PpXOXuV2Qy5ZslS5YnXVBXuQ8SBOGgmYgOHv8EOdOLLxl5bLZP+z2hsf+Whl8MBhSr9cue+ThB3/qyBMn8GZm6QdJngkTaZ2FsS64M1Y4WZJH17IAeIWpM3kyYUNNsnZZlqQHOmOWLN2cuQAqA7iyaOmArZUDt6cTfC/B92JqfkTgR7TqQ7QecM8TCb/72Tafvm8DoWmzoS2YrzlZ4izAzCdX6V2kzF1m7witx3zt2WkGoWZzI3s/kwyeBdmSKFbUPMWLrxwSGwfwYSRc13rqbY/GxgWHOp0Nk9p7Ik2uWwTz04LvfXmfVnCG9312yL3PznEuqjOoSdqxpamtA7lO4xBl07jEpiDPjqEoasclSAoWn9xRMJcqGZvDhDYvdw9RxFcZ0G0V6JXHkixt1SztusfDDxzmsl3X/tTNN9/22HA4PFiv1/+fAzweHuaJJ79Cs9na0ls+/LJWsEzgS6xN0hLUbJqSA7SVogB2lhTIPkw6PSo7wRWtndpP5UAyT70XtJ0C3E5IkywrRzp2gnzyVcbcnnK1GIEX4fsRNS+k0Rjh+wP+6E7Nr/7+Bg5fnMULamxqCWaDhHZgaQbQTDvs64HLdtbShJCrX0nSlcDJk8VuQj/08ZXClzYPMCl9lOzCzmo3wtij7o3YND1kddBiGIl03JqLFTwvSW0+ldqdygG8Eri6ysc3vbTPTVdd5Ff+YMQHP7/ActxkEHg0PUlbuxqcQIOvyJshdJb0yefQiNwwyBJAFU1eEStVoK+3AhfgXgfwJYBneMhzHdl7kO7rB44ucd8Dz7xsaSXc0u10Dj76zEluvPob6/FvCnBjEm584Q27ls/ve/fi8UfZPB+7JU67+SVC2nxcWFa/kNcw5B5pwdQm/5mJQJLiOVas63O7qVeU7EBb6O6sxly6ybMFcycpyGN87SRJ4I8JvCHHzse85zNNPvnVOY6cn6Hd8JitwUyQ0ApsmnrPwC1TcMs8KVRLtXfguwun3Rzzia9pDh6vU0sncOXtYhQot6WLPUkkUay5Yie84aYev/u5OfoNTTtys0eCMI0blEFrmY6towRyr0SpblXYMS/52b8/4Nrdp/idT89y5NwUy3GdgadpKkEjBbovrbtwUpcpX/2y45rZhzh9XgDcrvXJM5Dbou/TXczr2IoliVK+4Cs/R7ZCOwwNLAzGgs/c9Sxbdl357hfd8pLXLa92v6lU+YYAX+lGeA3N4YNf2xZ2H9kz1z6Fr6bSMlSby4P881WAW1SlZeB1rF0A3+bsnbL1euwNaTFQxt4FsLP3IGUG8HSeiszYO8HTsevc0TFBMMbXY3pJyLs+6vO+z2zi9NI0RtWZnVLM+pYp39BImbuRp+9lWqeSSpPUO8/B7bvs5TgKOXgqoB8GzASpi5MlnTIGzLKwtlSTEmnaTc3ubSEqGNELWwx9QT2yjDOA6yRN1CjnY8usBHi94FWxMDXgx9804C13nON9n+nyno/PsThsMtQ1alrR0IK6sgSxdWye1ulrWZQ3ZFnOSSaHdeTKpMPC8zF5CcysI1+yy8dmf8e9h3EMoDhwvsfDzzy7Z9tmf9tLX3TTMWtDhPD/agDvdy8Sha2FKGl9dN+zz3nXXOIR+CHZElVettwHnGTmgs1zsFfYWhT/judn7ryQMz3QkFllZfZOq+RU4gCuE7RK8L2Imh/ieyGdUcjXnpT80Z1tPv7VOUZJC9/3mfMF076h6VsagaXhF+CuBZIgkASpNHGJodSZSAHuey7zefSs5d5HGoSRR9C0awLM7JanudNS1DBSeJ7mlTf1+PCX+uw/1WRYc6MZxp7Fj8GLDF5oUEqmDSPOks2H+1CAJzGS2EgagWbj9JD/83sGXLljzAfvbPHwvikuDpuMlI/naWpaUJcQZAOWMntVurqior2wOP5FIqjK3mVGz0mLErjLz8uPOW7SISklohOU4hcLvtY899Tj3sx33vTRcLj6gk6vf/GvzOBbNjXludOHbr544t6pDdOuYs33EoQw1cKcCsBLzGzXkSTp1Zn/XP6BxMQHK/9+iwTH5HlK2eRBrkxHvWmVOICrJJcjWkd0+hH3PS34vc+1ufPRKZY7LWS9RquumPYsbd/Q8CwN31L3SVnbMXc9kNR8Rc0X1HzSCj2TgtsQeE5/Kz3mwCk43am5xEqqb6uJk6J+xvVBOpDHRhKGmo1twWXbhzx1ImYQeYzTGd9+iAOfyibrZokakBOdOWW3KkkkUeLqw9/+yiGvedEKX36sxwc+3+bhfW2Weg060qfva3wl8KUgkK4/Vku3S102I1IKJ11EKfdA+VxVcf68TG5Kq3bFHqYqWyaJLhuvV/fg9JmYD/7x3VNvfD03X3nlZZ/jGwwP+oYAjwang1Z9/Fttb19TekPXoKsTpFz7+8r6Gyvy+uwq4OWEJKmOc1izo0pFmhSSSOSyxKSa26BkgpIJfuZmyIiLvZh7HtF89r4Wn7p3igvdJqJWw2t5tDVMea6Tp+6Ryg6o+yK9y7TkNNXdviDI2DsDuI7x/ZiaH2JtxF2PBhw/W2d+VuBJk+pYUTT6llBgK+WmiuHYY+dGwStvGPDJr4f0I49hJKh5rl/VTydLFauUyv1qhKzIFHeXRaOCcX57PRjz9pcP+Y6blvjTr/b4zH0N7nmyxYVOg6HwGfoa7Sm0EHhS4EmJJ2wqtSwKUZKGVfuwGnZOALwE8lxvlwBtUhZPyro8/32FXNECasYSW8Vdj5xq3na7/a39h89fCQz/0gBf6hp6Zvj3hsv3Tu/achCTaJLS+mEFUJYYOSOLCju7MkuZg7pYtgq5ssYmYSKgLAFbCJPagQaRAlzrBF9H1GoRo3HC/tNw7IziI1+c4nMPt7mw0gSvhm57NJSk5Vla2lD3LHUPap4Dd81zMwldmaks3UX6fZuC3OQg9z3Xnnb4jOGpowF4XrrM21KKvmJBVJbqJO9RdOOcr9k95qptfZ473WBYEzRiQRBZxorU2jMpe2duSraEF1ol99lTK9IYlU4f8BiFHvX6mB987Zg33rLKFx7p88dfanDsTI3nTjcIVwPiQDPSGqncVF8F6PQxY/Jcukycq3UBnsmQ9HmSEmCSSpIsg+1I0aaP+ZGqCHwNCANnzq/y8FNPsjD3jXePeF6AL692xDgMf/K3/+jg9KULhpsu7XHDZbE7uFqSRJIwciyRtzllrDwBdmOLVqgKwPMjUWbvrKLNljSfS2o4SWLSXR4SgsBNUo2ThHNL8MWvaA6fqnP3g3VOr9Q5fKYJQYBqaGpa0dSWpjbORfAsgXaD4wOPFMTZXaZ3lQKcVHOn4PYSAs+xt7uwQo5ehH3HGniyag/mEoWiHrxwE1InxWR9jR5X7Rxy2YYBTx+JGcQerUgw1uDHbiagKgFcSoFIJ4ZlTA5V6y2XQYnM+yijxGPs+bTrIf/g1WNeem2X0ytd7nrI58jJgC882uDMUo1k6GGkJvIVQsp0MwLXlS9JM55QyJbSaSynLjLATrK5a1axBZjzftoM1KlpHlmILUInJCrhRXtH3LxnzE277pl/zav/5U+9Y3z0nTLYvW749rwAf98HP0MUJ3zoswOG4x3s3tDh6p197rhxyFW7IjbPROzZZdAI4lDmS6KbR5Jpb5lq6xJbl3R4CuN1mNtOMHdJiqgEL0iIEsuRk4Knjii++GCDp4/6PHu0TnfsRoXh+ai2R6AEDQUNbaiXfOBAZ3UaWdmsqwsPUlni+wrfl+kFYAvt7SXp0H2n82t+hDUh55clYxugtcSXFl2y2SYIPAd5Yqv9jmHsIdAszIZINaIfeQy0cE5HVBSMaWUqGUgpcnhBNuwIgTWyYPLSYCQvUfn4icHYZ9NMyI6NETdeMmYYDvmHRzs8fczniw/UeOpojSMnakSxgkBhpQIhSWQpG5T97UlrJUN6OcNVYWaz9tFYsIl7HRk0hj27xmydjbli15g7bgi5cqdly6zPOFppLp6+/3uF0O/8SzH45z53JxcWu+ozdz0lZjT0hy2eOB7w1JEWdz40YEqH7NgWcs3ekNfcNOLlN4RYI/A9S72Z6WsJxo0EsEaUwJ3BeG1aLHNIhHR1Iwjns0ehZTByjH7slORDdwYMIsXjz9Y4dDJgse8zTnzQPigP1Vb4UlBX0FCWmsKNM1Np4ZFyrO17wiU9yuD2JH4qSwIfAp/UNXEpc08bfC9OM6IR9VrIhZWEL97fotMLmJkSaGnykoEMB2vOe3Y+cy0uGY8V83OK19wy4gsPDznRaTL0pJMpGrzY4kWZZ5167DJxdiHlWScy/xvG6tLfcED3E0WiFbGXjn2IPGelehFNP+Kl18S8+Moxb37ZiAMnJU/s8xiGig9+scHRcx4IyWCoSUKVlW9idQbwCcsoY/VKWrpgaRFbhLFYXLdEvZng+QZhE15xW8irXzji6r0hO7caWkoy09BEcY1Ov0mv32TYPSFE7YXqwa9/Jb75lpf/xQBurGVutvUuYQbX1VXCbE1hpM8gVlwc+VyMxxxdibn/6YiPfTlifibGGsMNeyPe/qqha2yIYWE64fprxjTrFowD+PqK2x2FbDhPZyB44knNUldSr0ke3Ofx51+tMYoUo0hx9pyPEZrIehjhgdaIQKOlxFeCmrTUUmAHyhIo62rAder56oK5/awvMwe3Sns0Rc7evmfw/axAK8nZ2/cjlAr5ymOKT369hfK1s9sq+vv5GTzzwpMkczwUo5HHG28d8qmvdfngXVP04xrNVId7mQ6PsqSMzbuFhJA5wNyfkiWtXwK4SUc6aMfknlbEWqPjxAFdJSjlBunP1GJuvTzmlssjrBjz1pcPGEVunNuffTXgoX0+9UCw2FU88bRPdyBTlSTWPcM5k6WVh82a5foXhMxPx642PLG8/VUjXnBZjDWwMG2YnRZIqzD4xKFHd+AzDmsMhjWGI8nFXnTdpp2tdyHsj/+FGNzai8B8+7d+/48uP3R2qMax80WbymJQjEUNqzUmiRmbiHOdhHOrbibJgRMJf/6VKcBgE8vUTMLN14a06q4OeKJyag3ASV2H1b7i4ad8uh2F1JKxkYytdswktGv4lBqkRkqJJ4UDs7QE0uBLBwRfga+KGX0O5KJoeNCuESBrPC6D2zF8WlbrZQyelO4xgY6wNuT0ok84rhFMSfw07a3SqrxKFjPr6KFsoZIza2IUYeQx01Jsnw/xxYhhHDCMBXXthmBmNSRZQkvJcnmrzP+W+xupXDSmyJ4ak/ZMFtIojpM0b6DS/Y9iojhBRUk6pz1Bypht8yZdMQxX7hgR2iFSGzodwcNPaVYHEpUrlmpQPfkVYxzAX3xdxNS0xSbuWNSlQAn3vhPjk0SKMNHpUCEXKIexJrES34/ZunBONRrHL2f+B9v7j692L985/Y0BfvbcMp7uvvPo6UMvP3ZxSF0FKAE15d6mFm4ATyI11nquJ8k6gMc2oZOtvdLSXTGcvbu8LJU/LtWPXVrerBCYbHAKac2pUEWQI2VqZWWgTtPOknTj1sw3Lj3qtJNekW69Rw5u19al8FNw+5q8xNQxeMri2uCn2VHPiwiCiJOLhj/4QhO0jydFEWDm8kSsYfCyu5ANCXVgc4N1wsjj+18z5E/vGfLs+Rb9xKMRu01pXRWgLTpxVJYTKIK9/FhmK4WRpQKv7G7yWhitFV7i5qV4KdCVLJJmrm48fS5MOjgoQQuLsAnzDcPfeYkBkRSZbZEl29c736kNZwXWaEws8osxTiRhKZ5zMYpKj41Og3GNtU4SS3mR4yefe/mlU8ffaW30T74pg//6b9+NlNK/64EhTe3ha1colUkIN0QHxkYQWY2RKq0ay6JgUwQNQGJNcVaz9bnC2mWAF8tsFrwIKfMWNCXAEy6tHAhXLehJ91pL0pqKtHs8KyTSlOagOJD7uuiqLwAuc9kS+DZvafN9UxqcE+Ol7O3rCClDjp8TXOzWEFoTSCryJE/Pi/zTVpyEcuFZEQi6GX9z7TE7Nw157tyYYaIZJRAkbrydF6c6PCZ3lorDqCqdCllM5ybtZs0FoiSNDDoxJEqidLZ9uUqL1bIhQdm+Sak1m4JcZH8bM2HlFiUcmWmQH4EJc6GSPyFd1TJwW4Exyg0bMpIkViQmnSQcy7R6tcW2qQ7J8mf99fI9awC+euEEQsCGWh/dMm62XFKoKiXc3RcQWUFkhZtKasFaVSq0KUfMPL88EcItq9lSnltQmeeaglo4Z0JLm9d4ZM/zr6VkX5SCkjfY+kqkRWJlcLsdB3w/A3oWfJJvT+inTRKZRPG006e+HxET8Zmv1Tl/sY43pfDLNRxlB4UJRVopPhITQaBiNHYTbF9/W5+vPTmiG9cYaE09NoRpOl3JoiAqKzgTwlB0DmWBZikNbnGAsYbEQqLc39RGECuBTmS6i50re8iAXiTTTJ5gk9KUEm+mkoQr0vmlgUKlrHS+ukCR7Mtt5UxWOYfJWkliRb7dYzaNIErcLMRxKBmGHtK7sM5qMQHwe++5i0aj8ZLPfO4rN62uLhFFMAhLDQaINIvlJsJ66UGL09G7xkKCyG2qb5R2BfJsWOYRlxMJCrdSZLM7sgtLyULjqgzY0u0nn41CKAM7n4OicP2I6wE8Czgz3a0zWWJTvV2tJfe9CN8LOdcxPHqoDtpHp/JES1ut36DK4tmRzAcWZX61LXRxnCiiyOOGS8fMTQ/prDQYxIqGAi92n0UlboCSisoApyijAMgzx6XaH2PzKVVGGRIj8IwgUZJEGRIliFOQx6XitawcQmYgz0CdBrtCWCRZdWk1SZcDW1Rxvh7AszzK5EStclY2Soqd4vpDzXJPIbzWTbsvv+0ld999x3133FG4KRWAh6HB2vHf8T15vSJ21WuxG7emrXCsLISr/7CgjSWxTgvnOwZMZK1KHF65ZcF26pTny3nB3mvrIKQg157Z8HwlilJP11ycdao4WaLy7pUC2FnzrWPvVHNrcr2dWYKOsQtwe3l1YoQg4tNfDfja0y1koPGlcPO38wrCoo2uqPibzGZmZcWidBLdMjwcedxy9ZA3vLTHez7dIkwC+omklliywF+XVwxhUjlnJi6o52NyMFoWrYUpuBMlUco4RpcyHS1hSqXIRQ2QKFVyVhi8lKQjZ/Lnv5UL9cqZ8Lx/wMgiZ1Da5CCOJbFR9AYJ0rfXx+Hw78RxfN+6DB4Nj6OD1muO7//i33+IM+mEUJupiLQ1zWkqKUBZgRFFZ0aRoRKVIZjlEcbVU5ydeFthOkEKaqrlmqq0FOcAVxmTkzI4eRtWhcXTbhhPVcHtxilMMHfas+mn7W2ezhoO4tI9IiTij+9qk9gAlWcvywFm0deYORsVDZ4ep7yzyUg3HSqReUAl8Hj7Kwb84WfGrJqIYVJjmAi8mJzFpbTIWORFZ84unNSismRNihLIBYlORzeoFOTaooyTK4myqMRVMLrssSwAnbF5BvT8MQV0OQtNKSxYZz0v1yLlKw2lsuuJ2YhZ2TW4mZPNmuLxw+fosfz33/6WV939zIHTX7h679YqwBdXRwSBvvTwmdN7Hjt0krPLC0UMbEXORsi0FdBaZ22Xyh1tiuiy3K6ElCUTPHOSZAnoZcYrP2ZsXdacGZOXZ3soJQotnlbcVYbdpMDWShROSm4Huo5715hsU+YuAkxdYu/AC3n0kOTgmRpWeSgp8aVxkqpcp1ES4JMuSnYv2vpEya92II9ijz1bIq66pM/XD9SJlM8wFtSkGzetY+HkXDpsScapDke6wK/yJ9c2mpTbxAp3xdW7OHCn7WzKlsCd1QK5HahzFs/kUQZsUcpK5+e7QEOpMCNnwmK6LRPvtTwjUebgVspQr8H2esTF3kna7e17fD24tFEbfGENgx8/c57pdpc/+aLlU/e12DovaPqOIW0mIVJwy1JxDGlAWS6J/Ga3yUbWHNBUkyNKFKCXJWniZIBw3fOiALcLMkXeLa5zcMsKwMvDf1y3PTmw82xlztwJvnaJHdcVFGGJ+NhdDZaW6ohAO9+9fBFO1qCUz2q5AMlUWbXiTRu3t838rORtr+zx6KE246TGQPnUE6fFs3JWJUnBna0VJvXEs7o8x+LYqh43lb7Z8iRfiTLZimTz5w7IsqLFRfq5HahlXqNfBfmkHn/+W7kJZhLs5fJrIdJcgIip1SLecnsPb+Ycg/5JhBnkvy8H+J98/o9pBILHDycI7Zo5jammmjOwVTo1cpDnF+JfDNwTRUhF7QlrQJI1warKUJ9i5mAO8JzFM7kiUboKcF+nA4C8bOvANMOpLV6eijfp86Ry18p17jx7HD56Z4ux9FFSpdnL6kyWyQzmpAYtH6+qDs+0pktsBInmba8e8XufG/DkkTqR8hhIiZ+Y1D1ykwwyGekCP5GXPbibSf+WXIcdC3Dr3EJ0E39VWhKgElsM68xr8EV+QceirMNLDF52U0qr9DcGeArsEq6qlafFxxKZLMOCaHHs6EH2nXovvi4kmgY4dvw0O3dsafyjf/U/d188d4gNrRFeWsdM6Q1X30R62krgZh1pMpHUKoG7pO8nmXxCnmSgLs/Ry+SJLDF2FmRmU5u0zjZ5TbW3mgB3lr73ssZk42aG5C1iWU9nnN4jlBdy8LSmF/qgdCpP7ER57MTFO+milPRwDrZyKt2UEz+apie4fOuIJw+GJCZgaHxqiavZ1qkGV8KNHnaJpQwKhizILJi8ZMWlqQudDzZ1X3MzJR3gVbo7hTTFhICMzZOMrXOJUgK5tM5AyDC0Tkkt63wtY+4qrkTpe/mngHSCQ5xIVrp15poer7n50t3br/nXjb/7pl8YTM1scQA/eeosq6udV7/w8rmffu7pJ4mlXNOXNwnU8tv5RqxdXp4rsqT0tfWAnfUxTrKiqgzVzEBOXkKqlUCWZEl5F2NPkXrhDtwOwMVQIK8sT8rsrdK+Tj9kuWf473/SYmlYQwSekyeyyCxmoxfKIP9GbGVJa+azOTGm5BakddzthuYd39Xjy4+2WRr7hFIzlBI/7aEsRj6kgEuTcqS6OCujtZgU3AaLnHBWRMrgNg/SM7ArKVIGt+ncyWxcSCpPSltDilKwWSbGCqPnOLBVjEyA+BviSmSXroQY4liy0pUs1Hb9tD594L4kGv4ppAz+8OPPUqv5HDxyHGtiAh3gqvrW1jM/L4C/yW093Z0HmvnvL4JZIakAvBiFLNIgs5g/KFUxfkyVQK2lRKeSROcAzzS3yYNKT5sc3J7O6i+q7O2pCN8P+chdHs8croP0kFISZKWxorr/Z96HKcS6x21tQ+7EcKSUyaNEE8ce1+wZ8KaXdvm9z9UwOmAofQIp8qSPkoIoczFYy+SizORl77lUE2OUc8e0tOlsG/LZjtmk4GKshLuoktJ8cZm2tBUjLaojJ6p6fALO6wHJljBXkgSCbM9Rm5OCAMIwYmXxOHGiMInbGEIDLI00NTTLQ8U4Evi+Xcuo6ZuqVAKus7yIiVLBQoOK0mtbKtKvSpTqjMEM8GXd/c0ALguA54meDODWzclOpYinCrfEKw0HKjS3Y29Pu6lVKx3Dn32lxWIngFrqnohSMPY8EoWsRmSCpta17TLL0EhMkrkpmpm24jtfPuBTXxux1A8IlWaYyNSeFKl7I3KJIGWRoMuAbW3R9WNyNi+63XXmrKj0uUxfpxuHZce9DHIhRcnOzc7XpBbPwC7y858N98z/n7OfzSUJoprlL0y4bJVwgbJI31MtSNgwN2JmfkQSjx3AH33iAFs2zu76xOcf/Mkjx86jPVXIkzUnqwzS52fqb8jcFCe8CmoxcVGJnMmVIJ+bl3eUl2Z/lztc3HB3quDOdjbImFuVmHsNg2fjJoqRE1q5zOXRY4IDx2sYAoTUeXOuKh2vIjgWE50uBdwqSbBScqNI2ReOijEu2MRqrtgZsmfziKXn6tjEdyyeOJmiSy7OJKBytrROk+fhp03Z3BY+uZHF3MhybKNSw8GkGxrkCS1ZkFEhS0RFrhT5gFSWlC74chBuKZygtcCaVACu7U0Ii0yXQ+VpwsE57PwLfnJmy+seX13cf0xbmzAYjTbVtXlNMliiXfdLSZVqJdx6MuX5gsjKRVnWYSVWqyR4yiCXEzq81LlSBnb+qEhHAZd98PI93dJalcFdAnm6X72XloZm7K3S11pHKBXxma+3OLhYB7+QJ14eq0xcsKwdFzF5q445K2fwSrubZWW0oeaS+ZDX3zLgoWcbYDzixGlxL0mHfCZVqZSBrZjomNmGMl/eJ+fUGJk+l+mqIrO7O/ZJts+pSFndUKwcefxhSxe5nSDJqi6n5KyIEoqLw2bXYAgK+SWEQKbb4hgbcOrsiPq8ek0jHm+KYntMZ/9QKTcLpOYXLC1Kj0w+rgPkSQbP30z6Q1l6vuowFGw+GaBlgBbrADtncyVKTbglcKfzCYttO1gLbF0MCMpHvGmTgjx28kRF1BshX9+v+NOvNBmOfGhotBR4oipNJt9/VW+uA3Am9PeEZVj2xaNYM9XSvPmOEZ/72oAH9/vYpscwCfAF+YWm8r9fTpcXi3sGcluBkCkuMOXYPJFptrrE2llQbzK70IjSzhCiFOhC1n+xZqWm+rxgc7uWHMsyJtPwOQZLnzMr1oshiV1FZObt6ziKiMIIa5K8kq6i/dfV08Uf+WY/V73y1oJ6rTwpnudSRBSglqq0e4NKp9uWwF2APCubtWhdjFDW6SZMWlWB7uVs7e5KuQDT90OiMOFz9zd49kQDPA8hVQqqtF6mFFwKOXEyS8ckP0Rl1s6SZKZcYJSlpmXuiSeJJgw1V+6Iee1tfZ44Vmcc+yTSY2gUfsLEe8m8cCYYPBMD1feCyi42g1EClXnPUmCVS+5lejxfUSVIU5plaEoSJRv79jzgrhyTdYig8nyCWKs/V2WPJJFEUUISR8RxjP7zT38WT2uWVzq0mx6I0ozA5wF2hbUnAs01S0n2fB05kjN3mbWzwLISYBY7EBTSpGQV5oydAbyYnJpLlJS5HWPbnKl1/lg899LgUquIwA95+rjgC19rMBj60PSQIqscLBV/rZfFLH3O8lHLalGywv/qIPmJhE+pACuMPFqtkNfeOuZT94x44kgA2mdkJH6qxZUBle2VlL2HBEiBR1IGewFsa93Kl0sX6dg8W1WyIN+kmWxpikSbMNmEsdK5NAWzlwPN3FyYuOjXI8Lnw9nkz0Bx7JLY5+mnn+TAwaMYk6D73WWklERhSD2QeT1CBeDfENhi/T+efSt9ndVlFLKn/MEpXfXl7TQmGdzp7WzEbwZuWRoe6dq50ue6PB98Atzp3cum0KYF/lrF7q4jPC8itgmfvq/OvU/XoaZBuoZmr1TCWymNLd/LL9a5lXszc9suGy+cOiqJkRWgj0ceL7tmwOtfMuCZ4zXi2MMKxVBovKSo1xdJweLFW1ifyctjHJRKLUPp2Ny9FvmOHeUssswYPVttUwYv2HviHFcIrgxyS3krmjVyONPqFSdu7bFMjCCKFP1wACICDNqVWEpkmvkjEfkxWC8b+Q2vqNKLynKUfziRgr0E8FJbV3lngQqwK1KlnKYv3dMdCwqgl+662AQ1A7RXAnXmnDjHxD0qFeF7EY8fk3z0rhbgg/QQQuVdRCrdSHWyQEzkLJUdCzEBsOL4VnS4KWlwKzCJa90zWcF/mr63VvP2Vwz54v0jHj7sJglERjFIRFrwlYIuyYCz3jzB1HCz1rF4GeiO2FPgWIxM9/PJguJMe8uUzYV7zFdcUzB2bhhAlc0rnrhYl83zMtuSHF4Pi1laP7GCKMmsSwFWojfOOmCvdgSdrvuURYp+7ZUyGTiuueooTnJxhRZvchIE1ecpSwvhDkym7TLmEEVWMwd52ppWbDZlU7BnA/ALcFdYu/SYNdZmUkWpGM+LiZKYux+s89ShOngeSBdc+sKWJseWAyuxVnNW18H8hNjSk7wBolQjUqkuTCRGZXXQmnHocfWeES+72bH4MHEsPhY+IwM6EUXglxSNKiQTFxk2rcyza61LCVZZpBUoi8t+WoGwAitAWlFIlZSoiqRcySo15Qu/7KhMrOgToK/EeOVjOUm06YVQQh8rPbfTnBQWPTO9TC2A/gg6fTd4sqhlrjJv5VTltSQllqpoo9KyU7ly1wN2yt4ZoFMPuVJ/Isj33il2L06BXWl4KLYuUWoC3KWh+Ll7ohKULgE8lSi+jjh4VvCBz7UYRx40vFSekLemqfIuweXVSkyclfUkiq0CvSxTypsDGLueFtc0A8kPvHbAp+9tsv+0u/gSoxgkylUZJmnyJ82WiCQdyzGxkmThZhng0hZaXKUaXRqLle4cWSkcwE2BlZzJTRZLVeVIZYWm+vXMKiyDvszka1afys8UOl9JmGklLA96LA/SjW/nd/3DjfsPPvNzDzx9H9K4loYMQLmFU/mFxZWyNvgU1YuivARlv6fC1uu8zkFesPVkkZUs1X7kIC/tyZMBXU+A28u/lrF2+lyaQnunwWVoYz5xV5PHD9Zdu4/QKOEylzqtwS43F5dlCpWT9w1uFQ1eWIU2dVGsMQ7YFZBLjNGEI48bLhvyXa/o85t/5DM0GowmEpKhcTGCNKkGTwpZyISzYnM9kmYQrftcVhXBr0y9b2sL8GfgljYlI1tdxTLJUpZu5nn0eBU3kyQ5wdhr9LnIm2OUdLX91+0ZcsVVt/7c9u1X/pi+cO7Y9LA3fN14KFiYdhuFqtSKWz+iLdC+NiBYJ0Iu66vnA3WuwdOlbqIOpVL4VdHftqS/04q+kvZW+U4PpY2olJ2QJFmlYJKD29MRB85IPvzlBm7+imPvvHO/3DYnSu+39Lnze4nZEaIkSyZ0rynXhhRzBW3WspV1mieKRKVaPNF8zysHfPLuBvtOeSBDrJCMEg9NWi+SHeu0O4skS/xk/F2STmnTgcUWGhxSy9CmGtzJlgzE0rq/YU3qjxvSoWZiDcArBEAV7FUDosDT89uD2btLf69xUmswUkjh0e1Erzt2/My09mREK4jZPOd2MciCuXUTO6Xfvv5yIdZcXWVGX1eWlHWsrD6vsLiwpeDSFiDPgJxVu2UavATuvEs8HT2sdTosP/O7VYySMSpl8ETF/Pl9TfYdLLS3FNJ533kHDeueQMHk65wWysRdel5tQK544qWJVNoIV5siixR+GGmuvHTMG1/S5/CHA8JEgdAkQjMUAp2k9h1ZoJs5KqL0Lgp3IhuCaa0oSRSLlUWTi7A4TS5skeIXYKQDvslkiiwz9/puSvb9SY1dJtSSYCip7LWIF8JtQxhGgk7PI5iCqdigZ9oaE/nMT/tIpfONgmz6iashydogczIgKBi8nOaf/IBF1msSJNW90wvWVqXXGbAzsGfMXZEpOZMXultlQaQsSRNZDM1XKsHzIo6cVfzPT7QZSY9sglbRNZ9eWPk+NtUNsdauqevfiv2IyAGVtbBNNt1mqftyfUpiNHHiESQx/+Qtff7k7gaHz2hQUSpVPIZCoDJ5kurxbH9NJkCeefMW0NkFl35N2lSiYHOgq9RGLLO5Tf+Oke7fZMBe31hIK9Sz75fA/fyMvY7sK7l9mRMVhoLZrgAt0DNtgY0Fc9OuTSqMLHFi04ZYUQpBSlHtGuYuLSdl9qb0wbLnaZXbegxYBraYYO0skaLKDK5MhcVzJq9o7bLOzpg8qd6lY3FPh3RDw3s+1eb0hQCUTq1BmcoTW/G98+dQvYAnV61vBHRKUiVvPCj3aGYpfJnf82YIqUhizdaFMT/6ph6/8gGfTuSmHlkrGRvlbMMkq/uZDDYLkGeElr1blRGcrUoUKwt2l9IWDG5L5846vb2e9l5rpabfz8C7jlRZA/bSsSOvxIQ4cU0f/X7McidG6ARdDyCsW2balmGY/uHYTTzKmopL6rsK7hKbT765MsBl9iblWjBMMndePF8JLG0O8hzgoixJSkyus+1MCkA7OVIFvEqHTGaPWkXoIOLjnw5498fajI3n5IlQuTzJm4onLLGK7s5jkTKs14e4LQi0ZBWWQZ+l7C3GmDy7mafwjdsKvKZjfvytfQ4c93nfnzstDopESEbG9W7KJHtfWZF1VtdRZvKUy0u736kc5O79SOsu8jzzKtKmhzRJZUrHxuYOR1ElaMokV8GMqOJn4nGtTM5WP3ePE7d1+WgUs9qLGIwTmlGCnp8aU5cjRhvHnFnUjCOJStyVWv3o1T8yqY0mfe/KiU/LkKsp7GphTr6MViRK8VrJdIvubNOpEmu7TKYpSZUMxCUml0V1YPUxTn3viOUV+JMvN1gZZ+B2APdkMVmrLE8qq05ml1EF/OSBK2vtDORFsocJeZJ2+5Q6ffI6cSlRRmGMJk40U37CW1414JP3NVjqKZARGEWE0+N5t48oMzgVJs9tS9x2Jdn7U6WkUFafoqiyuAM0eTm3sUwwtvv7CIFTSU7K5CvdROInx9i62ruK9XyVSwz9keHUomXDCshAoMemx9B0GERdhuMaUeTqDwSAnPjlubysgjn7+hotNQn2iQ+cSZWyjq1sX1eu8chnjpSAXdbdpX0y3YB4m0qPIsAsmDtj7YK9vUbMp79S48Gn6piS9nZNDZk8qdab5IX9JfZm4i4mjt16NJRrcQqJMtkMUZ72lFiJsoUvHice2sS8+JqQN7xowB98xgcVgpBYIRgbjRICBUWgmTK3qLzB7Kor+eAuQnUSRVIJQLMBUFK6GS8FczugC+EclezYmIzEMra22fdKdeB53FaO77LHEvAnblKA70nqgcCrR8hghPRH6M8+EHD2Qo2nn/LYvZDQbrjddMt7lq/5Y+stH8+no0rAzi8CaYvJVpPSJGdFO6G9S9t057OxC8Yu3JRix7XMLcmSOUolqRZPQS6dexJ4EYdPSD7w6Rbner7b71q6Qe9KUOzYMBEvrNHdZdfoedimfKskekrMvmanunzCU7VnU8ns0W1/srGZ8INv6HPfUwGHz0tcPYbCIBkJWdpEyoGqGmiyzusi+FSSdHyIY3drnbuSAV7IzFlJnZT0vFpbWjXSVc6UV5Jc0qUMPsHmmUEB2XuuGh253SzdJgabFxQvuTHi0svGtNpjtBkHJMMao77PqG2p+wapJJK1aefnu7omWTsH8hqgV4f7FH2XpSW/NGujLFPKoM5eZ4xdWIPpiLF0KqqSpYRODuwYJRN0agv6fsQ4Mfz2R9rc+2jd9bZJ7bS3lK5rRxTzV2TJPVkTYE4w+WRgJCrQodCQlB5LUmAyZV+U0bp2M5M5KokhlhoVa152Y8iPvb3Lz/+2zziWrhHVSOLUVXHJn+y92RRAVZCXYwGVv7msfDZN9Mg0hS9tWmGYNkmkvZkZ0DMNnjktlM4/ExjJQFy1m20ez60h1vTicGP+XItiLZC0/RZ13SaQLfRsG5IxbJsTNGrKNRAIUXIvqiJ/jS56PuamAHSmw9fTZIWOrc72qHrf6ZZ8Fd1d6oVMtXY2AbUSXMqSLElnXOfBpYzx/Ji7Hvb45L0NxqEHdZ1r75y9swtqgsXXMHcJxYVKWb/puDJLJgV2IQ0Ky8vKSR1eZDWlcVIlA3oca+qNmLe8bMid9w754sPK2YbCdS1EQjOkFPRbkY52ENk7cO9Blpg8b+Ms1aVI99oKUOnny7OewtWq2JLslAI38z0tnrKizNjrgXydQLP0vIyzbCPcRLhWv/5AcCoOqM/UmEoCtKfdrmLtpqZR0/i+cEMry+AW6/+hSZlSgNxWvlaOmteyuK0ElRmL54FlWaYou26QWQDZlJi7BPTSMPdce0s3JXa1b/n0fQ32n605aSJcSazItLdIp92WWXudmKIILkUJ6N9An2TgtuQp8kr5bCZVKE1bzRjcmirQpUKaBGk00Vizd1PEG17a58F9Pp1QplG+0+MhimwfiDK4y4GmypicEpPjJIh7z5Ns7kBryRg8rSFPj1kG6AwTdoK9M5AWOZNq9WMmpyZ9cSGKzKpN+0uxgjAUDMeCWizQ0y2FiTQzUx71QFbqP74RmKssbtdcfZMaXGDzD1JYbNVkSWX5z4Ati8xh9jpzS4rB7CWQy4mAUiaVxwzcno4xJPz+Z+q8+xMtrNDO966wdyFPqtbgWqBX/dpqpvf52Ls8fbfqhZdlytpWtmL3A4NJJEY6X1xJQ5R4SGX48TcPOHTG492f1ERxWmNgJAbBWEiUyQZJpOB+Pk0usypE8mZ3K9KUfs7mxdccW7tzaXOgZ5nf1JkrNSKDA2mRL5ns2czkin1ePCaJJZGCOBZEkTt2y113KvVUE4hgYdpV5U0e+PI5ynTbujp8kukzti59r8LgZcYW68iTktddHtGbMXe+P30GbjUpT6p71qt07xmnwSM8P+LQOckn727S73tQV2vZO6/5rgbA+cSB8uo18TxjnG/G4ZVNxypgL2U0swrDtN4jB7ostvkw0mlxKTVRlNBqxrz5jgGf+2qdQ2fT9KsrSyIRgqFba9x7NCm4bQnkuX5yILekvyJfcGwqZXKJngeeIpUpYh2gV4PxUhUmVZYvcinlwHKCXLMLDiDOVhdLGEUsdyKkF6GnWj7CKOZnEoyVhHG6tYWpfs4KGU2c3IqVsw6oHWvbUr9imQFLwWQuWUpz8PJZeIXedqxuChYvS5Ty9t7ZHjMydUxSJtc6ZhwZ7nygyZcfS6sFpecAvi57uyCmHAwXkquafs7twW+uTsqEXgV62Rs3afYwc1Ks64h3uttU9HgiJDKRSKGIxppXXR/yqhcPOflZj7FJpUq6vWOCZixckZJ7yzZb83NGt2QMLVIvvEjTu9jAps5KqrvT74sU1FJOAn0tsJ8f7AWZTq6G5apIh1Hr5iummczhOCFKJAgPvXHj1tVW0PmcjqK/e3HF0u37jCOQSVoXsQ7A1+ijCaDnQYyw67N3DuaqTCkAb0vjksvuSXUYe1mmTOrtvM5EFql4KV2njvRj7nnY51ffP0VideGcSI0QMt8yJWPqKoOXQC5Zl73/AknMEvWUHZRqyr4sVwzlPTVdtWcuU4zMGT0xCmk0cez2F/qZH+qy/5TmnockxheQueFCEJpMbZc629N4AOV2g6h+EJsDWeVM7gJKtwCkgJYFo7vjJPI6lYKhq0OCyL4GMKnBS3q4cH+KY2hwWxCGkaUzMKwMPaxqfW7Xju2r6oYbZf/YmROH4yT5sZZvGYy9dOvtMguLysmdTFVXZnZnbUqVOu5q9V+euEn/bblQqiiDnQwkU587lyVpUmcS3DKhvIGSzrOWRa/lqWXBr35givsea7pNeaSflsS6oqq6JN9QypPV5uK19zQgz4fkVIcRqbTdS6qJhumJ45Z1LhWlChNZ3XK+oLyjQqlobXIQprCW+bmYQFsefNJndVhyDdIwM5singOJQhuvHcFT1gTP9yWx5kfyVSoTHGV82uJrZXlcJL7chVImgnKKPkuKZaOfl/qwZZsgtmd+8PF9T+zXX/hakzCGzbMJL9jtponmqVdbvL2qPCmlVUtXWu6glALU/GDj5EfuOMj1AkxbDTBLW2TkW2iILIO51jkpXpcDy7QUNn2e+Akf+NQUf/qVJramQCiHTqERUk70W7JGf6/pmM8liygdiLW4KH+5SIlXwVHebbEcaE6eTJM2AOfJH1kMDDKZVDGKRGjkMOEtLx/y7BGPd75XEwZxye4SWOsxTlvRMjEtElvS3tXA06YWMqZU4itSySIcm1tTBJvlrGZ2ri3lY+caMtbkW1IZUsR/VS0+efUI4SYLb1uQ3H6d4pJtkuHYoncsNF1KViQsroZMt0VR7yyzKsLqLy6Ducz05edVnVUdKVZobXImKmZbr3VNnCY3eWApS5sjqcrXkoLFZZHUkXnNScIXHwp4/2ebjJJ0Cr7IrME0a5nVnJRWnjWp+TLQy595MvCsnIz1tYpNg7sMSGsymtg1JbRWljxxWXJWhHKFWTItzpKGxGgCz/BDr+9z/xM+X3zM2YWuDsPl4Q3agZwi45gXk6SaPKtRyZ0UKVDGFuBOt8XMHBUjCm2ee+E50EFUnJP8eqvGclk9WMoQ5cCyogLT36m1oFWT9LpNjpzwiROD3rnJ7UMZxYY4SmfS6SL4K66atZ3ZVeuwXCwzAfI0NT+Zzcx35xJrWVuIakJHVgBeZXCZ6m25JqmTFAGmjhiM4Zd+d4ojpwOsLnZLRqpCe08mdZhgbtaCuBRbrj0D30CQT7pV1YxmufiqrMfXKcqSacWhNCUWV4jEIIRGhoZLtkb8ux/ucP+/CeiN0g9jZP6+EqkZG3KQI3H2YFoHntI3SpbKa4UovHGRk75rkBC4QFU6O9JSMHkG9KrTtrYFsggwbRV3pf9lisD9TkEYWU5diPBWwFqD3r1jCq0ly6sDzpwdpTqxAFz5JGa/fXKYeXVpKQp4yoyXfZBihl2VuQuvtBxkloFdBJhyDbgNsux7Z7vzpp631hFxAv/j4y0ee67mPG+ZMbcmqznxyuwtCnuwzNDrZzIzhGfloeJ5+XoNk5edk/x5tqOBzZk83+xrcpu9zGERKYvL1BsX6T1JpYox3HBFxDu+u8N/+cg0YZKyOORRYWwUo/KFKN3VZtN2sDyriqsNR2YOj4u9yDxxU5InKevn7YlMAJw00WNtFUe2YO31mLtiWaf/0BhLgkXqBjpoYpIEfeULXk+93uTwoWc5c+bzaU+mC/bKLDzJ2JQWrrUp1mL0RFFxVwb2OtIk09u5NDATzJ3uzZg7KBPMnbolqnJPA8tawpceCHjfx1t0hh74heeNKLG3IN/3plzKW9bhxcy9dWYQVsIykb+uQHod1l6D9wrQi9FuVk4AO7MMs90ZcqnibMREKqQ1rl4lVrRrhh9564BHngm48+sKGrFDockALYiNZEw5wMxL/ijKTFOqTvcYypY5a4rzvpbRU+swkyUlkNskw8o64J1k7Oz7tvhZI1wPqbBgiHnZS27iBdddQ6/fR/u+xvM9aoGgWU/wPVm1wjJmKp8Fsc6VRPlkr8Pc0uZXqxCmVD1Y9b/X091yHfbOmbskS2TZ85bOFpQ65rljmv/50TaHFj03GUiUtHeZvUtuxbp1JxTnulK6UAb7BOOsuWUnZ6IWpWDxNEWefY1Mh5eYPQ86RSXgzL1x6drbRCZVhHVSJbLsmY35J2/rceyc5uBpgdVlgSVAesRGrmFyp7GFswTTXjObEpQ1FN0+otTDmVUgpowuMlbPmqEpZEvaZ1HFUQnEk/ZLmVSlyLaBscSxcbtVeB5KaXQtcFvotRoJ080oZbS1V1H5/KwLdNILQRTPC91anh9SbHGxRoMLU9LiEzvr5uBOWC+ZU1iELqiUMsYPYs51BL/03jafvKuB9UrSRGTsLdawd1H3bZ9XklROxOQFPxEQTdJ4hbUnwJ59rWhAToFTkitFbYrNnRQr3V70DuTumDo2T4NPYYgTgycNb375kM5Y8tO/oTi/KiAoUa4VWDSxlYxccUnxntN0fAZ4JbLNgR2LO2ki8kBTlqSKrAC8lK6npL8zVrdUcCfWPFlHMqfHvjdIGIwtUdrho7WSBL5/Tiv5hanpmdcM+j1kFl1SBAVriGjyj01o82qSpzwIvdioKAOuEEURVTm4LEuSbH/058tUSpkgU9ckqzUJMfz515p86aFGUWsiM2uwzN7FrsHleYNlt2RNsJk9Lx/oNXqkdJzWOYZlubJmTmF62jJgU9LhJh26k2c4pUv+CJGC3DoXReapfIuREmEVcWwIlOHVLxrxxtsG/OHnFGEsXNo2Z3H3e2MEo/xKtZC5K5mFKEEZkYI7bWUrAz2r+08/oywxdtldyRwVUulSYegyyGzxOif00jlIjGFudg6QXwj82jkhhsiZhb088+Tdx/rD+L83WpuRIipGClf6GNNRaKqQBoVcWOt4FAmbMgOXt/swpedlhi5+t5z0tyuWoCkYveScyLTOOxaGT91d553va3NqsaS7ReGcyBTcXjbMZ51677LzU8iU4uhX/Ns8UVI9OWVdPgn09XBPRYpMPi/vO59W8KWbo+YNEUl5/LJKG5U1SaIxRhOFiu1zhp/+4Q5venkfzw3WBpveTQQmxhpLbGFsYWwEkYHICGILcb4TRXYXJGnCJd9zM8l2jit+rigeK/1c/u9sundn+lj+N6XfGxtIEvcYJxDFLkU/Hsfs2rEZm0T//dOf+/KxG67bm+6TaUKsEQgiAj/B99Nt5tLhM0A+FGZ9GqoGBGKCsQuZUkrqyEkXxVCtPTEFiyuTSpYyuJPi9URg6XkJRxcl7/tEk/2HA2hmjF0kdoRw44bzXRpkWXeXrEyoBpfZPU9mZT7u8wyQrLwuXJTnz/SZapXhZLBJyVXBnR8p0mm0QiCszAGSpOchQaUrp8zBHo0tV1wS80Nv7vHQUz7HLmZRXvqh04vRWk2Utb3jWDmPE1L2xjg2x6Q1KSlZQMHmuW24XlwzKU3yWHYiIi89zY5R1o+JhSiCURgzHIeMRhGQbkK1ZccVKN2gXR+yyNOu/T5RxOmm90U6NRvWWD5zxSlbY9TjgsdMg1cclAzIpedKmsrzfOtoaVBiLbizJI6UCUq4oFKrmOWe4Df/sM3dj9WhljF3mrFMpYkU5PXeOkt3UzglSkwAmurrzNfPwLtuTPl8gWb5ZNmSBKwkd9LArQxyMjfFFgwuHNiFlchKs4TbZtsIg8gsRCERQrnLSBiSgeHlN4z5Z9/f5Rd/d5qVYUljSYpgUioiRP46L8zKnJQ06ZO5J5mUyfoxyxdw5qqXR7utAXd2XO36x6x83DJGD2PBKPLYsm0nL7rxGrq9Yf4xaE9vYmHTFXeu9o78ar05ZLo1cDUfopgzUqkJKd9z6cEaF+T5SlyLGm87oattVWOv0dxrwT2Z0BlJy29/osl7P96iF2U13hl76zyw1CLbftsV/udMnYGXtdnLnKlLF3bO1Ll7JNaRJt8E5BmIy+y0RpNTlSa2qBGvyJZMqpQGd2btbdkAT2OzwUGaloYfe2uPH39Lj7qJIb8nqWSJwCRYa4ksjE0hV+JcrhTPM7mRSZNcZuSPWeN0VXpMSheTSZfK76z+rjj9d3EiuNCzJDXJmZXTv3rj9VfeuX3b5oLBm+1t/NA//5nBOFZHb7xkituvHpGFB0JU52BkczPWJaxSvUB1M9D1mBukNHlQKSZkyRoGl2VZshbcUsXgGZ496POhOxt0I53qblUBd8beuWtSAvKaakHWYe8yY695XdLmfwkqz9P1JTbPAFs8z+52rWzJnRQHamHdUEybe+Lp3vVGOXdFSASurDaOLK1axPe9us8Xvu7z+AGJyaJAm7K4TOUKJSbPWJrCGnRNmOWET/G9LMjMj0hWeShsTihZz4UoDszaY1Va1bIfEQJmm4Y3vwze8NJTR7/yuX89eMXrf70AOMA//YG/j/ZrHH7uPo6feYBN8wIhTGq+pzUIE7/8+UAuKsxX3fm2AvKy3s6+noFZlMGdlILPErBFwdzaMzx52OMdvzrDUwcDrFcqpJIZwCWiHFiWZpxMbgO4ZoYL1ddFgVWZwde++IuweLW6jnU0eJlghNvWtZS+N9YBxph00qsogC7SVL4wFoErxBKpN564fwhjw7WXRrzrp1f5sf9buHnoPsV4qjwRVIA8ty9NyV1JtXvZUQFRJIjSnH2uwwGJcFtiWZ5X6q1Z5UqrnRQQaMt8y3LJ9pvYdflLGQxHwATAr7h0Cs+vo0eaIwcMcaLxPecmVA9+Wn9g115gkzUoa+zBEqArr0tyRX5TcGcXQJHQ0V5Czwp+65NNHn82IMntwHIxlWPvTJpUW9HWc07WpunzhA4THvhEcPkNyk/WsNHzkZUt92lCockrjorzwTOwO1C7IFMYl0eVwtmEWfGSsNnrFOjGxUgqsdxw5Zh//OY+P/NfPHpxio5su/sJkMeTTJ6BXbiyYbB5yl6JrCEiDTJLh8amIHeHs7zdysSxKQXY5WMlcJPN+kPDuVWfsZ1jmAzy7+cAb9QtKhCHWm3vcK3e2CMZ4mnnXmS/KttiIy9sL/2xwj2pBphlJi+Du5AlZQclCyhtBdCTMqV8117CIIH3fbLJR7/UZCzLXndZooiqLZh17bM+c6/rnEwGl9X/TTDQX0yJ24nnec10KZtJ7oNTMDfVHSGyANPVpbhsdA56I132WIi088cijCqRkUUkBl9Y3vaqAfuOa973iRb9CHfAMrckS/xMgjxN7uQd+Cmr28lPaNLANAN2Rv5540j6OUrHsWDvotDMlFY4IwSShPZUC1lrHk5UcCgSUf4nc1mka5fw3JOPfCFMFj7Yas9TD0bU/IjAj/G9LBVeZt2y/CgylPm9zM7CULYGqz2VZk1guT64y8CO89azXgjv/VST//t321xY8kqgrhZTVQJLUS2mKnfMF8mdgk1yjZh9ofxzk6xd+dpfQKCUWHlNh0+aFS+SPtVM5uS45bJnns0Wz2eMZ764lU6bm+K1SYfqx4li05zh5364yz96c59WkDjD2aZBp4mL59YFnplPHmYeeRocxiV/3KSBYjFUtBpUTpYfWCvSzw1F1rb4+cRAmMA4hmEkWB1aNm1c4JJNrQ/ef8+9X7h+79a1DO5YXGJF/TO7t6y+yYT960djSZRoklgSJSovzEmEE1JVxqr63pMWYFV7m6osEVV5omRSvJ4Ad968IGNkYPnTLzf45fe2ObfiuSE3cpK5nTRRqS2oRbG/TsbGa5ibtcxd3pY7Yxsqr6sJoL/KLY9vSu7J5DaDawPN4nWuwUsXgaiwuM3tQ2HTu1GQvsYoorFl80zCz/1Ih6Wu5IOfbkEtKdmGFM/LmhzWYfOUrY2YqDZ0/a35cTLF6leMZBFrZFsG7iiBMBGERjCMIYp9FpZ4vF6rf2YUVv+NKr/4jf/2++y5Kjjx1LHo5t5g6cY9Wwdph095VIFjgzU+wXrgnvC4yytAJaAsAf35wK0mwK1qhkNnNL/yvike21eDIPO4veqjlLh9LR3As/3lswAz21+zMoNcVXcvzvbkFHKd9jIJ2cZZ5T0+8820St8rdo2jNNWr2r6Wz6JJf6+ovHbAmZwCllXiZR1T6zk+5dgovyBFce4gizEcTU5NGeo1y/1PeiyviGxPm9IJLy1XaeCbpbHKRuma7G/+W9bOOan82gmSyOIQB3DBIBasjCVhHHLHjR1eeWP86bPnn/of7/jRf1b5d5KJ24MHX8DDh2/gQ3dNsdTr0aoP0V7sgs01qeNqoJQHChPypVJUNeF/lxm9qAicYG4xIU98w+Ezmv/rXdPc9UgNarIIKnP9LXMRrWWW0CmPgah26pSZu+KDl9hc5sgof97yoJ8JRl8HbJOJiuL4iapDVU7yZEyeZlKyXkVTkipliZLLEmR1nkpKUMVz55HbPKXvptUao0lGkle+cMR/fEeHS7aGEGWp/EyyVOUKZbliyx65yL3sTGokqfTKmtonbb81eCrlKcD9+2Ei6I5j5tuL/NO39HnHW3fyT966YxLOawH+z37wdfyrH359ODDX8T8+0SK2QwIvBiA20mU3jcwP4uStwuSyCvLntQIzcIv1wa1UweLaMxy7oPkP/3OKj97ZcK1nUgOlVHxJmsjUMdGiOkCzUilIuZjKrpUnkwe99L1JYD/vrfzNibV30not22Fk4C4nfdaxDitDOnNQk499y/b6KQbpl+pVbFmLYvLQqAAALa9JREFUu4m1SaIIhODt3zHk5/9xh50bIqcNyqD+K4A8SfV1kdSp6uvJIyPyVdSttjq1HgcxTKkB//Qtq9x4xWXUN7wtbG38rjWHXU9+4bJd80xPt//Nz/7g3qui1Yde/sWHRly1K8bEmtHII87maGSgpcxQqSyhCDYzkIt1mfwvA263UdTxC4qf+e9TfPyLDUKZ7iFYcUyKOu+K5y1KI9hEqcZkPUCXlsg1dmBmF04APstUCCH/qhK8RO8pqLHfANjpDmkVfV4KNNM0fnn0m7AgjHTJFyOd/4xME3Rli86dpzgBj5jve80QreBn/9s0xy/6TtiW7cNMk6dojMtHIHVORJZIwblvZYUtss8nis9aXjVzRwsnHUeJZePskOt3X+CLj25jzyW3fuW79+7+N1HY+eYAn5uZ4pOf/pMusP/Dn5m//SsPtNUbblG88ZY6QkjyEcXKRRwi24KuDIAc1OWmhsxBMdWAMgW3KLknMvW5c5CLGKkSzixLfu5d64B7grUzaVIElqw/46Skg9fLWOayZeJeoetKXFm6Kv4yKC8ndnie52UfOM0oO5fFAXcyw1lO9Ii8CMu4r+V355lnvZku+JRgM38cYiyahLd9x5A4Efz0f5vm7DLuQGYgr3idGlgL8rzPMwV09t1sjqEQxXYoOfBJ2VtkG/6CUoLpFrz+9jFvuDXhmZNhsmtPsv/pJz7avfb6t685tGskCrjtIE6eHbzj4vL2Jy/Z0GQ0aHHwRJ3ljmY4VoSxm0udswhFzFttaigFmqk0EZPJnBTcFbtQxLkkkTJGKEPiwXs+1eKjn2+uBXeuvzOZIkrTqbKdGdZh7zwhVQRp67so67WnlZyVEsuXT85fCt8TEiVvhMjS9ZCf/Qqzl9i7sNNE6WIosp2FdJElOZPWqthimGdeZpvVrSQKHcPbXzvgR97URyeZfVjW42XZ4nrZklSqRBYiK4itILGikCrPZxdmxzAjJQm+EtR8wXRTsmeLT10tcOz0Lq7auf3JQHbfofX66fV1Af7WN303NvaS77x9j71sq2a+LRlHglEoCSNBnMg8uCmf0Yp3XMlUmoo0KepOkhzcshJQGoraboPwLF+4r86Hv9BgnFcETt4L5i4qBe3zs/eEPfh8FuEaeVKWL+vBeQLZ3wjokyw9+VgJwKyoPC8Hm9WfFRUJk881LM03tKUgM6l44ioFe6rFbTn4lPiJ5XtfM+A7bhsikswbnwg68+eu7DfO9XhR+10dKFqSVxPHJAdp6nR52g259zzJhRXv/9/el0fZVdXpfnvvM9yhbk2pqlRSlUplHpFAAEOMKKMT2vQT8T3bobWdnkM7PLVt2/cEl8uB7oWitnbrQ1t4b3XjgLSIE4IKQaYWGQIJIXMICRkqVXXrTmfY+/2x9z5n73NvVaqSYIB+e61T956xzj3nO7/z/Wbs2t+O8eh0Ua+3xctXXdHyGjuYZFz2mg1o1Os3TozuWTo+NlIkJI0GM7V/k7M1W07sdDMtsRnhCeeWYbCKg5PYkNwxmMNBHYGf3p3HJ77Wgc07fWUOzErvlJ7oOG/tjk+4tyERdM0XO4nBriCQ5duG4SuRLrD2z9AYTEOKi9bLUksKSWYsDm7NkzSLPcPPNe/WZl5COXRjK2l7FkYMi3Lhg8pwWgqAM+vEGIDVC0Nc8+ExfJwCP7u7kBqadcxKEn9CDDu5uh6yCqdsL67ellzxcdr0RjIkubreMmZfUrBqHWiI3krvwLk3+r4/6SWmk60YHBgQj29+4quLFi0+EkW8SaIlxTTNeiYZr6YZYGVL7hTsVHHwJk8li0Fd4Ccb8/jk1zuweZcvowOpHfpqTUjd8anVxKwKa0QMYpLAKmRAS1pI9BYAtsA8HX7SAtypqSwjmY23pS2lW5ttE9AbZsNEimcygtJwWpJ4OGPOjG5ukqoI9Rk3KFbMj/ClD4zj0g1VmVITm5I8binJQy3JhQ6rNUJm0SzRTcqiExpM3YMSjoULFx3ZuWPLV3v75ojJLvOkEhwAFi5cgvJEGZsefRiUBHAZZCtsHRdueiVJWg0rtZwY6yYLgbXArRw5TgziAD/ZmMOn/rEDj+3wJaGmWolspVxKB0rajTibY2knEGcVy8lqnWTNfybobVOKjWwyXUUzYw9vKdRF+ilBq7N+dAZ+NtteKCVSS0hYiidXobBEJVASVZ6KCCTeSunwkb+TcwHTJ0iCCKsXhPj8+8chANy6sZCebGJRgWFlcSBAEQqdl6klubqdwogoVOZEKnSWkkjT1FSKWhRztLW1Y/GiBSiVSlNeXjrVyr6+2Q3fZe9dvHCwkvM4fI/LlDZXNnhyHJmfKRMRMoDWQNeKJeOYzENJze8sBhzgZ/fk8Ldf78BjOzW4sxGCJhc3wW301Mnw7SToS4MazdIbFvhJEw83oZ4omAb6bUwfG+FiqnUWXTEVzpR/IyvlYCiXWorDkNhGkoQp1VMebsyLlJtzwRCLNFkiDihOWxDiSx8Yx6vWV9NYFW44hBL7eAwIniqdOl7FUjoNKc51EoVMZohiIIgEGqFAI+CoNyK0d/RXYk7f29M3uzHV9Z1SgoNP8EWLhh/oKLHxu3+zo1jwA+RzMXIa5EZfnDTWmxtRhHaMCdE8m5gmwdTOrcH9i3tz+Pi1inM3gTtrEpTubHcSxTKhJLQFHTFA3yTJgRaUJFML3AS6ZudZkGdfAWitSGkQZhMfsts3ZftYnFvZlEmaupZIcaLXa1DLBLIktQ1aslIltbP/nTWfUBBh5XCIv//QOAQIbrs3r5pBkNTtmLHtxyAIIbsnUyG5N1XmzlgIECOeJen6rM5XH8xxXJx1zvrxvjnDD+zbP84xxZhSgs+a1YNSqf2ww4LLly1bERb9GtoKAYr5AHk/gO+FcB0jytAs3Ws6dLRSmQG2mWpGaQzBgDv+w8dHv9yBzbsNWmKB27EArvMn7bomqVMnadoKJHpB1gXfZDkxgGpRkgxWrQfhJI0mK0oW0BmwmyWJLcBr1z+HIa1hWFJsaZ2aGQ1J3oKTC04RK2kecwYeUKwcCvHlD4/h5WfVwHjGdMgNSc5ty0o2wtAMh5URgwS1kKAaEEw0CCbqBKPlCKtXnxZWauHl7aXS4Z6enimv55QAp8zD6JHd6Jo1vG9gaPGO2b0OZrWX0d1eRbHQSADODB5OWkySqqR9dCyQKycOXODXD/j44D90YutuX2UCmzQkC3JpMWEtJfex401Ss6Bo4ttJtk6WlmiQm1K6FQ+fgakwAbWYbEXiYTCATFJwt7CswAB6olTCjFexp2S52c3NcOdbpsME7DJuJeYMcUCxdCjE1z82hgvPqYHFcbPZ0KAuXCmdkVY0kZ6fpiuRComthgRHGxQHJxj2jQLc68DKlct3LF86vG/rtt3I+d7xAxwACGWIJ36+uy1fftfQgnkoFg7C80bR2TaOQq4Bh8VJ/AYUYCjM0g+GImmkmDHloXR8Ce7bH8jhw9d0YuselW6mK7+2lNwERBWSz4Lb5t2T2LzRQnIjo1gmD0CLbQwQ2+A161nr9ZPDWzR9UbPa1o0W1ATEBrnpELKAm/V+mtVpDS5u2sV1MJbIxoqb89qqoiS7qrXCGxRLB0N85SOjOP+sKmgcS4QKk5NrhxBPQG7yb/PtxYWU4GMBweFajApv4GC1igXLl2L/WPyub9x4z27GGI41nGNt0Nk9D0KMAWjff/hAeNfP73/gpQ9uDfCmV9SxclAgCNKOEMkdz5gHLRe8ltxM9qjcc5TinofzuPJbJWzd7UPoROGW5kCpULaS3NoMmLWa6DDRrEPHikOBDX6Ld2cke1bSGz853dfyEbR6EFqDPZHkpIU0Jul6/T2d7LiVlGubVhUkzaBS174MfJIr9FNNQQRPbOegADFZrlFOgiK2f1gYYdlQhK9+dAyf+ZbAfQ/nseeIC/gwYlbkxReCIBQEjiBw1bnr60TVKcWCYCKMsHb4MN544Sj2HenE2WcP3XXFa166/9BoFX1dxWMC/NiPAICrrvoi1p1/8Ugl7Crf9Ye2K7538yieKeewcA6F7+QQRA6EiidIuhAzo44g022005LGXi7Ek/sZPv+tDlx7Ywl7Dnpp7cCkIVQW5NSW3FRkrCZIUtGSWG4NaLOoZmK7t+NR0nmSLNex2Lr8r3Tpa2UzjQlPyiarfYl6yyTLiLmN/UA1lYlr9WluZxQdajZ7Gp0TWinUAHQwSKu3U2r+JNbbysSxSB7YJn4GcKC3O8bL1jbQPyfGlm0uRo5S3RpIHY8mUxrtKe+dw6DM0fI+Dvc38KE/r+A1ZxO85KwNmDew6GMTY1s39vcvmw50jy3B9RjoX4qO9o4HzlsX3cwbo5ft3L0Hm7cTiKEoSWsjRACUA5ZHU6WfEW3nDuHlQ2zbz3DVP3fgR78uoM5ViYespYRmaIkRY+JZtKS5YCbLAjcBZ4Z6GMBpdaOz0joZxLytzbz7REazhcWwd8MOSrI8mtqCAjMIy5TqwqAsShBbB5PSmyfSloKqovpJcU1kDCTEUHT1tQgIZndFePOrqvBd4KpvdGD70wBySJMwQSAITUyF6sykwYAJ+I5AVwFYMuBDhP144sBCrOpbd3P/4OoHEI1jumPaAH/R8j7s3fvU7lddeNaHKoc3s8Gu0dcS0cDIOENnSQLLUfW6dLisVeaBRXBYCM+PsH2/gyv/qR0/ur2IOnGk+92sPpWR2qa1pJlzG9SEGhQEKQ1pSmYwqEk2qwWkudNAS2mXbJBuO9MgQkMUwj6SWaZNURViclTNwzXYbYqSBGoR+xip08f0CuoSEBLAHASUyjLMrUCeUJmUi6bfNc+nBKJG4LkR3nBBFeACV/5zB3bs92U5Cv07CQMnDmJ1PtIdL+AyoOAD7QUCHjE8uqMNpNBzy/mD537o8KFn9vT2DUz7Eh9TyTTHvHmDeOThB/esPG3NplyxB2MTMRoBQRgyxDy9A2lYbNpZ2GEhvFyEXYcZPvPNDvzw122oE1e18NPpZZqWuLBpSQpuj4gkcTgLbtN6IsFsc+9sAkMrkJt8OusAMgm6xa+byPbMxHnWNNgq8sr2ZhocPQG73jyjZJrKJ29WNrVJ0WoVbllTDDMiN5IlDMUz5rLTcsyVE0hlBUWhA48TXHFRDVe+dxTz+wKZKcxVxSwRgnOOgEu+rX8jIxLkvkvguzEWL+jGmWeu3vToI/ft6e3rn9G1nbYE16O9sw9z5s790uYtOxaKqPzGmB9NbmySraP4t2zfF8JxQsQkwu83ufjmj0r4we1tCIiTFqOntm1bK5OA5LNm/W5nGuC2MnMMoGqJbnkrM3TFtINnUJt8MxXRVjbw47GLWx7LhAIQA+WpJDe/JwpoQlNEShuUlOdE1VRJlEwhi3ZS5QHlktdzQMV4U7WMS4dPVpITAkF4ouDKsASuziuV4hQEIqRwnAhXXFAH+Ci+cVMJf3wij0as+CIYQuopu7g8f/mQyie0r3cWli5ZcOPyFSu+NHb0wIyv64wkOAAsWzKM3/7mN2Md3UPv6JvlbyzkAFd5NZkBbqbaZrtOiJCE+N7P87jsEz248fYSAuYCrtGfskXoq44K9Iisz+4RYSUvTAXuhI6QZr6tOXcrR47dFtAGsSXJm5+AZpDP9MLaWM44c8x5O/AqfTgMSZ4JwIJp6xaT2cNTu7mds2lL8iTEVtvFY5amuZlT7CCOXUSxiyD0QGMHV1xQx0++dBhve/U4imgAUQDwEJzHqHOZJR9yIrPmIyDkFI3Y3bhi2aJ3/Md9vx/r7F44Y4DPWIIDwOsufQX27Xm4KpZdHOx87IcgvAzflUXn9eQ5IfL5OhoixPd+WsCnv92J0Qk/LUJPXbTKxNFg0jVMXBXq2qxM2uA2qYWOFjRpicm9NZ5a0hYDcE0S2khwsB6ASQA7HZAnlCTLx4UtsXX5iESCG8uIKclhgDyR7MY2WrITI4ZFvTaofmcQVTY7keSyHLPQXmkKJcmlriUEVBcKWTlA/m8KIbgsQqScRYzGmFUM8YX3jMGhAt+7Bag0pCQPiI8apfAjAo8JkLpAX08Jl77mNcG2p0R1/bqLjgeqxwdwAOidvQBC8Pvj2unnjh34Vd6hITxXSmzfayDn17HrUIyfbCzgC//SJcHtusi2EMkCm0G28nOQdb1nwlwNc6ANVmHQEZuaNNMVWMhu4uLmw9ACyMT8q02AsASxFbNiAVuBLIPpVEm0gNxiPktNSJqyliY5aloClQcJYzvFRgzQJ2VP1Aqh6hqCyzgiQgGAQqhScBrwhNBEYeVEKamEgwoKSniaXMEYYk7RUQhx1TvH4Tsct9wVY9thAg6KKvXgUQIWELCCj/Xnrq0tX7rwfrPjyJ8M4J7fjjCs/F3//JcLFm36yMTolpzDYuS8AMV8DfdvEbjqO1343aNtaMQ+ZKFDJbUpBZCR2Ejph2M5bKT0ZYbjhinAJjW8kTp6EvC2KLvWygKSSuRMIyliADjzILT8bAL+zIbIfDe9nKaTxwY2VFNXvbXOx5QPnIBI2vFpLk6T/eVZ2gqr8iIqkHMiaxyCAgQUhHNVzF6GX3DBIVSZOAKh+u7otwoBJ7LoPuEClDJQzsGpAy4clHIBPvfuCi5Z38CV18W473GCgDDUqQPGOVavnl+//HXnfcX3nE+XSsd26Ew2jv/RAOC6RV4f+cWVfmHO1W5+KPDcEG2FKu7bAvzNP3XhVw90ocFLgFcEnALg+CDMBaMOHEbhMdkTPk9laROfCvhUwLMyclT8uUVRWjVqzYAbaX0TM1sHGaBnlUwNbhjfs9K7lU3c+j4TS4qwwZtdl90utbKkx2+uUaOrYU1iTTHiUxLuzW1OnlhUNAdXAVq6TYpsT0IV59aWFCWpY6o4OEMUyzrkYeQiiCQfbwQ+6vUCCPK4eC3H1e8dwbkrR4B6FfUgxopFc4LhodlXf/MH91xZKhWnjBY81jhuCa7HRJUGnCz6YnvHeDBy+MnPfvtWl960sQsP7SgBBQ+EuaCUgiknjQaoCUDTUycB2xz1l61ZQmEqkBlXPNBERSzJ3MKCYoK3CaNNUr01hUmOIVosPNbIbptI7pR7J0qltnub21k0RW2jLSrGOpOLp0xGHpmrViWpgJA/hBunRwSR6X4iDaYThIFABtwJbsbj0IQaIklrlNk4EeUS9KGHs5c1cO1fj+P7v2vglgcW8oGB3s+es6Tvmt0HjgY4wXE8b9OmsWfb9ejt8lf9bOPTD7/10w+xStQG5jO4lKhJmffU3Ter0qbAESnYiQl6uyC9/b05jju7bVLSDM1uee32TkqxGevSkmzatY/EDW8uJ4QoZZek5d2Um15vK7dR85TALNNmHr9lGEHSOQOqGa65jbDWWy3RrZqQSGiFLhNthzQjnafpd6s7dWJeNSsIm1GjzfslT1AGasSoJqzNyXk/RKXWwMZdr4ufmVh2us8qj73rv73hWNA75jhhCQ4ANbEMue7Sk05h8H1v/rPub9786wdpzBXVoByOuoiACo00oseSIBtDmlr9ctAMXEthhC2ls5GBIMJ6S5g6X5Z+mLQFxnb6S9YCk1mdfpDjkxwiM2VXpi57Q0pb87bnUr8BiH4DGMWE0nMliQSHIKp2uHwI9T/mUOkcQkAQYr8xk+Or5q4q0kx/mpW3EqoE/cCl4dPlahEdvev5y89e9b6tBxc82Vs8dDKgeXIAvmzJi3H/Q08Gr7to/XV/eGhXYcVQ15e37jyIdo/BpVoqyB8re7cI1V+F2IVeMsDOSnNkgN0y5NWaTykNWj0E6X/OeCubj69NGU302qA/k6J6pmi3zIOp4ydZbn4KfYKG9qm2TwCdKJXCVjCV8pn+6NR7JDPt5bUXgKIkJKU5RGbD61oyUDQoud5GsIxdc4Wkx6a6RWUNjj8X1UbpfwwtvOA6L7c17pj14pMBzZMDcAA4Z80SbN11IH7/2y/dPnfwwfJ3/+8vS43KGAo+g+4SEXOCMBIIYnlTYi6senRWrcAEjDaogdYA1/s3OXBgTy1Hi/2yG5vNpcxlrUZq0yDJ4c2dLY9kZp+sSTCL5WygFZCR3kgdPVqKmofVoE+8oJZhU33X0sjg3+abgKjIUS29hSrupJdT4/9qcIcxRRQxhJEM6xBCxZ04Adrbe9EzeGG5bdb67Y3avrhj1vQiBaczThrAAaDUlsdEuXzL6y858/05En7lpp/c3l2bGIfnUXAuE0fr6rUZC/XqM4CbzcBpBWIYy5ABOsxPowhRImUzUlzOZ+qeNKG4+Xc2MxjSYtkMR6vAq6zENpabCiMhrfdPHTqqfZ9JnXQysqYU6h9pSa+3lNLbuDbq/2lhL1mgBLrWAZKeIOqh44IgjikagYN6wBCEDLEAGCJ0dPSgs//8kWL3uR9u1Cu35PIFnMxxUgE+p6cDAHB4ZOyG/3LpBqfoiy/d8Zs7e8vj44g5UG1IGRNESILt9Q2yGkG1KKEG4/5Z9zHzAGSpismHJ8WusW+6yC54r++5ltotY1DEJCtmMETLZZqCpCeU6C/E3tf0UlrMBUgKYArjeprlJ6SeIWxnEVKOTgw+SdTBibKLE0IAymUPe6rfHqq4D5GUpx4wlKsuKnWGIARKpW4sGXrJob6h9X8TR+ENbR3TjxKc7jipANejp7sDY+Pj333lxS+hiI5+4cE/PNB7dFyWmmiEHKM1glpEleXANB/p9t8pTTmmwtaSuqQ8NKv0NYGf2A9Rso/1BZhUkk+2zQxwnoBRz8M08VmMAQm3INltUwqR6IxKESW6OhZJXfypRFfKo3HiCcjVfzClub1IZesrWiJAwShPQgN0W0hZgQE4PJrH2ISD8QrB0XGBNXOWHxpafO7fNoL4u8VixwlhbrJxQo6eqUZHezsee/iu6wb7S59YvqRvJOYCvV0ulgwR9MwaR5UHGG3IhqIQylupwM2IDDRkushQMrXIwEGWwuhXbkbyG+K4CcyGVSH7sOgV1v+YCrzToDjJmYqp55u2R+p5bCXqE/6NjGIKJDHk1ikJ43iW48ho+MSJMVHLqdM0qXU6u8uhHMVcA647joNjY3hiD8eBIwxCcOTaekfCOPeJW3/2m+uKxamL95zIeNYADgDrXvIqVKpHru+a1ffB+fPnlXs6CC48S+AjbxjD0oERTDTipA+67pbsMMBRwNYFzxNgG13bWmmPZiLDdIalBJrLyWTiOsNAsg+QfTonb4hWn8Ra3fRwKM/lZIdreriQAtv+JUaNcQPsMaeqIYIsxhrFFHFElYdT/m/KOIr5OnY808A1Pyzgjj8Q7D/UwOzZA+UFC+Z+MOLV6y9//aUn+2pZ41mhKOY4MlrgHP6NyxblIlew7/W1PZab0xfjRYtquH97DIDKYplU5uE5Rn8cUwhxQ9oIoqwvhsOIZDhqcosywMtSlabRZD1pvY4oidhqvZjBQ5aMjGnQVC6b4lQMDm7RG2s/YWynuLfxnZCMiDf/h3HMpvIUiStfPyQ0sYtzyhOrpeNI6znnHI/sYLj/iSL68zHOXDlU94v975w3t/NHY+X6CbnhpzOeVQkOAG984+WY3x/ExdLwj+YPdb153rze+tOHq3jsSQ8spvCYgEcFPAZ4joDnAJ4DuGpyVOHzRJITE5xTv9Oza4/FLJrCZqd4OKY8oKmMTRfqk+NNLjalt2i9j0VhpnlNpjV09KGQ0jmR2hFDGFIEIUMQUgSRtJCEEVMmQQpKGdYsCjDQOY7BefPrhY7Zbx6c3f2jR7eOxxe/4s+P52xmNJ51gAPA+pe9Hqcv3hyvWfe2m4hfeutvH11avW9zDoUcQdEV8F3A99SnA/gOge8QuGpymAHuDIdO78Hkr+Mp7ptNd8ztLcl8DJCSzANwHBylVam2qWKvzA2afzuxOPdMR8vzT6rRKpBHFEFEEEQUQUjRCBkaAUM9kJ+NwEEjdFGueli7JMSn3tleXbW87a0jtbfc9NN7R+O/+ss3Ht/JzXBMq2zEyRjXfO3f8YqL81h15rzHF51d3AlauEg0arlOn6PoA3kXyHkEnkvgOTJVU4NaX/FsIq51E5VFoMnlP8Wk40+sZZnlaQkIwCzTQKjx3YgFN0tDpGUj0PTZqm2KbhNohiAAk58/mo5Dmtdj6mtgT0bUpVY9iRldSBIFM4yIktRETkl0oR2xyCjQ1jE4tnTh3Pe8+lW33bjnqcP42Hvf9aeC3bPPwc2xfsMn8Rcf+0ecvnjZv87rr7pxvXLN4489Pqs8PopCjsFzVVBSwv9kIyQaS2NurDwOZu3oZCT8U9pwDWvZzPiwybNnKonJlLMtR6uYE/NtQiZZpzmUNsm13sH2hk596qZjTRg7KHe8oIgVF49iKbnDUCqZ2htNCcAYRRRxhJEAc3vhdy4+EhDvo9XRjn/1XYJ3vumjM7yoJzZOusI/3XH4yChc13nHr26/+4u/+OVveuv1CeR9BqZJtgBiIRBFQCMUqDU4qnWBhupmF3FD489IqiQ2HKkUzlaWZUmknx3RJ+eJtV+rKMJ0G5LskzR5TbYzCv1QYr0ddImL7PllIwjNqEeWRAbqiEE7kpA0LTdqxdBMZKGyUxMqw2KTSEIFaA12/caUUlt6I6t1hkqdoR5QRFGaEU+gWo2wCN1dRaxec96h4UXrPsl59J18sfOU4OxPKsHN0TOrExMTle+8+pKXkrxPv3DXXb/rrVUn4LoOABnVxoVAFMm0qDBU9exi2ek2qaWB5texdk0f00PU4muyKLM6u0mTVCTimMecdP+sNSaNebIUycQ6k5XSLVz5LV38k52JodcQwxRLjDehfquGkUAYE9QaFBM1CXBpL4fKJooxq6sDC5e/9NDwknV/CyFOGbiBUwhwAGhrK6JaqV533oYXRx1t/pcf+uM9XbXKCCZqsnwuVVe35sd4ZkxgvBajEcl12otGIWCl7AnVdXoaw7xxqcUkG1eS8v+mICwb4bZd3FzTUmmzN0xmJ1ve6hAmnZnkIZnO0JtZbwGSRgpKt3sM1yFgTKBWp9g+6qLWkDUMCQXiSKBSjzFndg/OOGvD0cXL1nw8jsX3CoWTG1sy03FKAQ4AhWIBURjecMYZZ4wEtQOLIOZefcfvHnJ9j6GQp8h7HKUiRw0V/PEpH5w7svgP1a25CRzlCk1iL2DEX6j/M6VBgRx7sRlmq9eRyXY/XisKgWVBofrEs8CdBNhWwvIU50AS0KbmVkJ0THcKcl3uOpkYR8wj3L2piE3bu9CWB3IehedSOExg5ao1YS7nfmLVaadvz+Vyt7que4LoOPFxygEOAI7r8rHDm2+54JLzvM2P7amesdb7xlO7HiNFv0p7uiLM65tA/+yD+MGd7TjS6ELOZSgwgQIDPOW0IKpbgFA3t0m6YQYOGNIM7lbbtPye3WyKdUlISSulchIJbIbNWs4YorsHp06dSX6adW6GkcqS5LJ1NofjRHBVSZCc10A9quHm+/IoH40xf5ZAZxtBf28bP+ecNWJg3sIPFLsW/MvW7fuDs884eSGvJzKeEwAHgI6eFXhi69ag0NZ/w9yB+LdFr/YGF099Ls+2oa97AoJVQGMXcd1FVRQQOa6mj0kRoGS0skQ0gUVYrvpkIs3MA8Cksd/mZjZYpvc0WWC1QK2y4ifbKbu9+QaQwjj1N1monto4nqScqarAnhPB8wLkvAaKuRqCagOjlQb2jwkQEWHu3LkYGp77v+YPDf1g7sDsvbXaSHDacwTcwJ/I0TPdsWzpUgwPD9V8PLP1la+98ItbR+Z+ts4WxBsfp/j4t3vhF1wsHzgKFowjCENUYllj2jQHajBn8diq/UfzsHcywS6m2O54xkx8MGKK5eYj0PIchb3IvEb2fmnMCaCkOOOJ5M77FWzdz1GeyOPzb5/ARS+u4ZUXzI//8vXdn73jkdd+8dGtT2+dOzBUW7R46Qlfm5M5/mSOnpmMb133bygNrhUf+qu3/fY73/0//o6nc+fs2imct10U4K8vP4Bd+0PsfMoHpx58RpBj0tXPDBObqRCaktWs+Z2Y7vR84qBBxomTdaK0+p6pBU5JerxJ953EadNimnSdumbNDq400doyRapY7eQ6IVWkk/OgAg4T8JwQhXwDxUIFdzwk8Pa/H8TefQNYu6S/tnz56TsvvPBN/3vNmvP/57oblojzL3zLqYZNy/GcoSjZ8bF3vRlCHMKjm9v+7txzLqVL5q86d+zpm+hItXbuu/9st+MwF79+yIeAn0YhUp0xnh5Hv7K5kE+zmITbZoEil01qv7AOYpoq9YIsRW9y2OgPrQwbiQpmWhqAKc/CZimaf+tSEwSmCE89pHbUZbaeISUyKpAQgLEAP7+P4Js/LuC0he0Rx8B9pTkXbYrLT74/ny+KnfvGsHDg2YnlPhnjlDl6Zjo++Ll/QxC5pZI/8a0NS5+4Yk7X4/T9Xytg995eDHXGyLkyntxUvDhPe5LqOHPG0rqGjBI5n5RsIJZjxXKrg1iSXXeBSMpGUOXoUQ4fOxTADCEgTVJZv0EYtZ09LNuFgor03KD5MtCqdIS0fKTSmFEByqTiKEOTOQghScy3pibSCcWR80PM7q5gy94j+Mz1c3HJugX8Q2/p/n73XO/dqMVlUnjfqYbEtMZzVoJnx9c+/V+xZ9fuMkfxg3m2YtvEeNvq9S8KL3tm734UXIK8L9UJ7TYOY9UumqdlKAiVpcuysd0J8NQM0YA2JbFpikMmLayFuE5T2zLHMY6hKxMnGWIt3i5WlpKxv/WWMmN0kk9ditg8NalAMtWpmhAOwqW0DiNqhNMyBJFA3iVguTU4Y/Xgzeed+7JN+eLAtfv21sqDQ/NONRymPZ43Etwc9z2yD+3tbfMffmTzV57YsuWyPTu3YHx8HGMVAcYoXAZM1AkOjsvXrp+E4QoVc66kN5USnaliPdkCP5ZVhKSWkaRGopLa8i1AwCg1evykklw/QE0X33hbpG8VJcmZkeGkW6SbvJtMIsUTG7Yy9bEU0A7jcB0Oz43hOTFcNwYExcGjeVRqLlyHQ/AYh0YpSqUSVq9ahLmDi25u71vxYUQTu4k78/LFp3o8LwEOAE8fOAzXcRdv27Fr7a233hq0t7Orbrv34GkIKhie42NgdgMP7a1h46Z29OaBki+Qc0QSY86orD+eUBRqUA1FGVpZHBIPKkkpDqMElEmAy+OkVa6o+ZpIciV1pB6MuBXjYaNpyh7TVMWIMrTOhmRAbqT3yZrtKdhdh8N1YuT8GMVcgPa2Cu5+DNj0ZD8GZuUx2FvBnNkcByprMbzgRXf2dnnX9s5e8Egch9tyxakbrj5Xx/OGomTH3P4eANgGYNvNt9wAgG5fuOwlP9iz88lF5SNb2Lmrq5g/fwy/3+KjGuZR8uM0sIrY1CJdZltRtJoplHtUpe6qv3YvSsCwo5O0TJspuDkAYdaCEYp60LRhVDomKfesz8CgI0Sobg1cteeGrP+Xtj2xC98DgO/FCHkNN20s4pn9HOefQbHm9HPixcvnbYt3N96z8rSz9wuOra77vJWBAJ7HADfHZa99C54+cPSROI4vGegpDPR2n/1DMnFre3VHpejSCEyoHE+GhE40OWYSxc4wFyoLBzgBh5ABRdAx6kpqauUsOUYKbq3QAqr3u5BtrE2Qp4YOnaFuRxpKCZzSD4G09bVZNEkI+T+l2x0JkJPCmgKIYple5kSywlQYCDC3hEWLl1Ze/4YLxtsL0eXFzsF9a7vpbne6AT3P8fHC+BVqyLp6oNVKrSNH/7Buz0H+7ev/fW/04IM7uqvjh0s5h6uINwFKqYpfBlxG4DkEjBEDXKn05VwgjASiWNfeBhxK4DCVceQQuC6F61C4jMIxs5CoPgYQRrL4URhxcIVOqiiNw/TxVMqeK+mU50oe7TAJXM5lPHYYURV0ZnNxpvJaPVfAc2RpNPkQcXAhqVOpyNHXWyqXuodG9k2scvYfyb/rlRuW3VtsK44BghPynPL/ndB4QQFcDxFvBSij+w9O5IZf/qnG/d+/9mO/u+u+t+zavTPc80x1OeNBrjxRAecEvkuQzxHkPAbXUZzZMAUSAkSxjEevNTjiWILSZZDZRy6B51K4LoXnUPVdrjezkmIO1BrARDVGvREn1h2qga0eDN8l8FwJbJnGJz9dJs17cUxRbVBU6xRRLH+vyc8plcq078XI+zF8N0YcE7h+Ab6HejXo2jI0f767YMnaG/742zf+Q9+q6/0G764TRHzNiqFTfetO+nhBUJTsIGwpIClvdfMTu+C6ztWuw66evWAVm7+y+I0OVl26+YldGzZt3c+EaMB3BSiJ4TqO6hEppavrSNAJIVCpCYyUpakt5wLwpLTkKmxRgku+BRwGJX0B10mlLwFw6GiMckXqA/oNIAQFgQClJKm6q3m3wwDP4cj5MXKeRHT9kI9ylUEInZytpTuB4Bwhi8AoQ6FToKvDAadDcces4Y39vXzrRKX2vrFxFjMnjzPPv0m0dw1XT/X9ejbHCxLg5lixbBhI9cDo6Mjou4sFv2vXvsOf/8b1t3kH9u2Jly0snkkI1sbBUYyXx/D0IYG2gguHUbQVGLpLQD5fxUN7OaLQQ387l1LckRYRCUhlMlTlL7wkmZoj73N0toU4Ughw7xaGsTGCzqIMNeVKAZR0iSSFKYG00pfnchTzEfq6KmhEdfx+UxcOHi6io42imCdwGIfHQuw9zOHnSlg4NAeM4Q8d7SMPDszrZ51zXhswf/anRFw/2jPvuet1fDbGCx7g2dHV3QkARwH8dwC4796NoBTnHR0LLunIly8fHR9f9ujWBvbt3YG2AkEpH6K7vYFVi8qInBp++LtelOsu8p4waoNohVDSEs2jPVeCu1SIMLe3AuaP4elyO0aPFuFQDoADREtvDka1RE+9ipQKOA5HqRAAZAI33R3jV/cEGGwXIMihrVhCsciwfNl8tB/2QGnbE4vmlX4YRO6vOMSdQyvPA/D+U33ZT9n4Twfw7Hjxug0AcGfYGLkTwF21emPR7MEx/uMfH+IL5/ctWDzc+clKeS8G+wZw+aw/4rYHyjh6uA0dPofIeYCQba+FkM2YPAfwPSnBXUfannNehLZ8A6P1GhpRAeU6QT0k8D3AiY1MGsITygIIxFwgjgV4FMBjVew/UsHvH5+P1ctXoL89wPKl80Hi8hcpP7pz2cr1dDHrpIK72wH8cmBO96m+tM+J8Z8e4Hq4fjcA/FLPV8uHwByvc3x0/z1P7SHwigj7ewY/8sG3FS6uTLgo5SJseuQh1GoVub/roFh0UMwHyLl1MCYQRQRhGIOQAC6rgaIC3iiiUo1Qqcdo8wlCSlBvCDiMorsjhw7XRz5PUSwICCHg5otYvHo1utsjtDUa+IvLvNvqZfrlvBe6p522GsNDc++s1xujs+f2nepL+Jwc/x/gk4xCqRcARgH8BABGR3eDEmzZcA6ZHUeEEx5i357tiOMAcQw4DgPnPFxzxhlXIi5fGsdBWK64YEygp6eOYvcYZrEy1p3dieEjHZjfLdDfKZXSsUqMnO+6vbPaf7p7x6YrPddzPU8gCAHXK6Fv7moUcgxFEdNLSs4zhGDn0MDzJx7kVI4XpJnwVI2dT/4eBJhdKT/TEYUNcbTsglKgf1Yds7sncKRcwfW3l3BktIR5HUCfAvjIWIRc3iPD8+aMCSGeeeXFG071T3nBjP8HWjMxMS73+DIAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MzA6MDErMDA6MDCcCa8CAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjMwOjAxKzAwOjAw7VQXvgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 237282000
{'hecke_orbit_code': 67554338041496399, 'n': 1, 'trace_an': 8}
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id: 237282001
{'hecke_orbit_code': 67554338041496399, 'n': 2, 'trace_an': -1}
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id: 237282002
{'hecke_orbit_code': 67554338041496399, 'n': 3, 'trace_an': 6}
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id: 237282003
{'hecke_orbit_code': 67554338041496399, 'n': 4, 'trace_an': -7}
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id: 237282004
{'hecke_orbit_code': 67554338041496399, 'n': 5, 'trace_an': 3}
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id: 237282005
{'hecke_orbit_code': 67554338041496399, 'n': 6, 'trace_an': -2}
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id: 237282006
{'hecke_orbit_code': 67554338041496399, 'n': 7, 'trace_an': 2}
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id: 237282007
{'hecke_orbit_code': 67554338041496399, 'n': 8, 'trace_an': -12}
-
id: 237282008
{'hecke_orbit_code': 67554338041496399, 'n': 9, 'trace_an': 8}
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id: 237282009
{'hecke_orbit_code': 67554338041496399, 'n': 10, 'trace_an': -28}
-
id: 237282010
{'hecke_orbit_code': 67554338041496399, 'n': 11, 'trace_an': 0}
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id: 237282011
{'hecke_orbit_code': 67554338041496399, 'n': 12, 'trace_an': -14}
-
id: 237282012
{'hecke_orbit_code': 67554338041496399, 'n': 13, 'trace_an': -5}
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id: 237282013
{'hecke_orbit_code': 67554338041496399, 'n': 14, 'trace_an': 1}
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id: 237282014
{'hecke_orbit_code': 67554338041496399, 'n': 15, 'trace_an': -9}
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id: 237282015
{'hecke_orbit_code': 67554338041496399, 'n': 16, 'trace_an': 7}
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id: 237282016
{'hecke_orbit_code': 67554338041496399, 'n': 17, 'trace_an': 14}
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id: 237282017
{'hecke_orbit_code': 67554338041496399, 'n': 18, 'trace_an': -1}
-
id: 237282018
{'hecke_orbit_code': 67554338041496399, 'n': 19, 'trace_an': 6}
-
id: 237282019
{'hecke_orbit_code': 67554338041496399, 'n': 20, 'trace_an': -4}
-
id: 237282020
{'hecke_orbit_code': 67554338041496399, 'n': 21, 'trace_an': 4}
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{'hecke_orbit_code': 67554338041496399, 'n': 1000, 'trace_an': -104}