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mf_newforms • Show schema
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{'Nk2': 1764, 'analytic_conductor': 3.521402729138465, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [441, 3, [344, 199], [3, 1]], 'cm_discs': [-7], 'conrey_index': 226, 'conrey_indexes': [226, 361], 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -1, 1]], [5, [0, 1]], [13, [0, 1]]], 'hecke_orbit': 4, 'hecke_orbit_code': 13511073793573305, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 2, -1, 2, -7], [1, 1, 7, 3, 1, 3, 0], [1, 1, 7, 4, -1, 6, 0]], 'is_cm': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '441.2.e.d', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'minimal_twist': '49.2.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(1-\\zeta_{6})q^{4}+3q^{8}+(4-4\\zeta_{6})q^{11}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d3', 'self_twist_discs': [-7], 'self_twist_type': 1, 'space_label': '441.2.e', 'trace_display': [1, 0, 0, 0], 'trace_hash': 321325686490311342, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.914', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.963', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '204.815', 'prec': 24}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.506', 'prec': 17}, 'traces': [2, 1, 0, 1, 0, 0, 0, 6, 0, 0, 4, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 8, 8, 0, 5, 0, 0, 0, -4, 0, 0, 5, 0, 0, 0, 0, 6, 0, 0, 0, 0, 0, -24, -4, 0, -8, 0, 0, 0, 10, 0, 0, -10, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 14, 0, 0, -4, 0, 0, 0, -32, 0, 0, -6, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, 0, -12, 0, 12, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, -20, -20, 0, -18, 0, 0, 0, -4, 0, 0, -2, 0, 0, 0, 0, -5, 0, 0, 0, 0, 0, 32, -3, 0, 0, 0, 0, 0, -8, 0, 0, -10, 0, 0, 0, 0, -16, 0, 0, 0, 0, 0, 12, 22, 0, 24, 0, 0, 0, 0, 0, 0, 8, 0, 0, 0, 0, 20, 0, 0, 0, 0, 0, -26, 0, 0, -12, 0, 0, 0, 8, 0, 0, 4, 0, 0, 0, 0, 24, 0, 0, 0, 0, 0, 0, 8, 0, -18, 0, 0, 0, 52, 0, 0, 15, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -24, 10, 0, 20, 0, 0, 0, -36, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -12, 22, 0, 0, 0, 0, 0, -32, 0, 0, 5, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 64, 16, 0, 17, 0, 0, 0, 0, 0, 0, 32, 0, 0, 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-54, 0, 0, 0, 0, -50, 0, 0, 0, 0, 0, -24, 0, 0, 20, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, -12, 0, 0, -60, 0, 0, 0, -32, 0, 0, -6, 0, 0, 0, 0, 48, 0, 0, 0, 0, 0, 60, -40, 0, -10, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -96, -20, 0, 0, 0, 0, 0, -116, 0, 0, -16, 0, 0, 0, 0, 31, 0, 0, 0, 0, 0, -80, -15, 0, 0, 0, 0, 0, 48, 0, 0, 46, 0, 0, 0, 0, -44, 0, 0, 0, 0, 0, 0, -96, 0, 24, 0, 0, 0, 0, 0, 0, 36, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [0, 0], [1, -1], [0, 0], [0, 0], [0, 0], [3, 0], [0, 0], [0, 0], [4, -4], [0, 0], [0, 0], [0, 0], [0, 0], [0, 1], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [4, 0], [0, 8], [0, 0], [5, -5], [0, 0], [0, 0], [0, 0], [-2, 0], [0, 0], [0, 0], [5, -5], [0, 0], [0, 0], [0, 0], [0, 0], [0, 6], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-12, 0], [0, -4], [0, 0], [-8, 8], [0, 0], [0, 0], [0, 0], [5, 0], [0, 0], [0, 0], [-10, 10], [0, 0], [0, 0], [0, 0], [0, 0], [0, -2], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [7, 0], [0, 0], [0, 0], [-4, 4], [0, 0], [0, 0], [0, 0], [-16, 0], [0, 0], [0, 0], [-6, 6], [0, 0], [0, 0], [0, 0], [0, 0], [0, -8], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -12], [0, 0], [12, -12], [0, 0], [0, 0], [0, 0], [8, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -5]], 'ap': [[0, 1], [0, 0], [0, 0], [0, 0], [4, -4], [0, 0], [0, 0], [0, 0], [0, 8], [-2, 0], [0, 0], [0, 6], [0, 0], [-12, 0], [0, 0], [-10, 10], [0, 0], [0, 0], [-4, 4], [-16, 0], [0, 0], [0, -8], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -20], [-18, 18], [-2, 0], [16, 0], [0, 0], [-10, 10], [0, 0], [0, 22], [24, -24], [0, 0], [0, 20], [0, 0], [0, 0], [4, -4], [0, 0], [0, 8], [-18, 18], [26, 0], [0, 0], [-12, 0], [0, 0], [0, 0], [0, 0], [0, 22], [-16, 0], [0, 0], [0, 0], [0, 0], [32, -32], [0, 0], [0, 0], [10, -10], [26, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, -34], [0, -36], [30, 0], [4, -4], [0, 0], [0, 0], [0, 8], [0, 0], [0, -22], [-12, 0], [0, 0], [-38, 38], [0, 0], [0, -34], [0, 0], [0, 0], [-26, 0], [32, -32], [0, 0], [0, 0], [0, -20], [-2, 0], [0, 6], [0, 0], [-40, 0], [0, 0], [0, 0], [24, -24], [-44, 0], [0, -36], [0, 0], [0, 0], [0, 0], [0, 0], [0, 34], [44, 0], [46, -46], [0, 0], [0, 22], [-4, 4], [0, 0], [0, 0], [0, 0], [32, -32], [0, 0], [0, 0], [38, -38], [26, 0], [0, 0], [16, 0], [46, -46], [0, 0], [0, 0], [0, 50], [-44, 0], [0, 0], [30, 0], [0, 0], [-52, 52], [0, 0], [-2, 0], [0, 6], [0, 0], [0, 0], [0, 0], [52, -52], [40, 0], [0, 48], [-54, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [-38, 38], [0, 0], [0, 22], [-32, 32], [-44, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 0], [0, 8], [0, -50], [0, 0], [-12, 0], [0, 0], [-60, 60], [-16, 0], [0, 48], [0, 0], [0, 0], [0, 0], [0, -20], [-58, 0], [-40, 0], [0, 0], [46, -46], [0, 0], [24, -24], [0, 0]], 'char_orbit_index': 5, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 13511073793573305, 'hecke_ring_character_values': [[344, [1, 0]], [199, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '441.2.e.d', 'level': 441, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1764, 'analytic_conductor': 3.521402729138465, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [441, 3, [344, 199], [3, 1]], 'conrey_index': 226, 'cusp_dim': 80, 'dim': 30, 'eis_dim': 64, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 5, 13], 'hecke_orbit_code': 274911461817, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 4, 4, 4, 4, 4], 'label': '441.2.e', 'level': 441, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [3, 7], 'level_radical': 21, 'mf_dim': 144, 'mf_new_dim': 38, 'num_forms': 10, 'prim_orbit_index': 3, 'relative_dim': 15, 'sturm_bound': 112, 'trace_bound': 10, 'trace_display': [-3, 0, 2, 0], 'traces': [30, -3, 0, -15, 2, 0, 0, 18, 0, -4, 2, 0, 12, 0, 0, -11, 0, 0, -6, -8, 0, -8, 0, 0, -9, -2, 0, 0, 28, 0, 2, -1, 0, 0, 0, 0, -12, -2, 0, 0, -20, 0, -4, -24, 0, 12, 6, 0, 0, -46, 0, 16, 6, 0, -8, 0, 0, 42, 12, 0, 24, 36, 0, 14, 30, 0, -10, 0, 0, 0, -4, 0, -10, 4, 0, -32, 0, 0, -42, -8, 0, -20, 12, 0, -64, 38, 0, 72, -16, 0, 0, -96, 0, -12, -34, 0, -16, 0, 0, 67, -2, 0, -14, 0, 0, -188, -44, 0, 20, -8, 0, 0, -16, 0, 0, 26, 0, 48, 0, 0, -7, -20, 0, 32, 24, 0, 124, 23, 0, 68, 14, 0, 0, 92, 0, 0, -34, 0, 20, 0, 0, 24, 2, 0, -8, -12, 0, 108, 46, 0, -100, 0, 0, 0, 68, 0, 0, 38, 0, -32, 0, 0, -40, 20, 0, 12, -28, 0, -98, -48, 0, -60, -8, 0, 0, 56, 0, 32, -58, 0, -12, 0, 0, -76, 6, 0, 0, -24, 0, 184, -70, 0, -4, 12, 0, 0, -84, 0, -28, 29, 0, -8, 0, 0, 92, 14, 0, -32, -4, 0, 144, 14, 0, -104, 10, 0, 0, -80, 0, 8, 80, 0, 24, 0, 0, -74, -18, 0, -26, 0, 0, -308, 48, 0, 100, 24, 0, 0, -60, 0, 28, 9, 0, 16, 0, 0, -18, 0, 0, 24, -16, 0, -112, -62, 0, 5, -26, 0, 0, 40, 0, -28, 44, 0, 48, 0, 0, -44, -6, 0, -12, 0, 0, 244, -34, 0, 36, 6, 0, 0, 212, 0, -18, -164, 0, 8, 0, 0, 47, 16, 0, 8, 16, 0, 112, 102, 0, -130, 0, 0, 0, 240, 0, -32, 76, 0, -36, 0, 0, -76, 6, 0, 34, -56, 0, 256, -6, 0, -128, -16, 0, 0, 0, 0, 34, -84, 0, 0, 0, 0, 6, -12, 0, -28, 20, 0, -160, -103, 0, 16, 18, 0, 0, -88, 0, 16, 68, 0, 0, 0, 0, 240, -34, 0, 12, 64, 0, 120, 68, 0, 107, -26, 0, 0, -236, 0, 26, -32, 0, 24, 0, 0, 72, 0, 0, 0, 8, 0, -60, 60, 0, 192, 12, 0, 0, -248, 0, -40, -48, 0, 0, 0, 0, -154, -2, 0, 26, 0, 0, -494, -98, 0, 54, -4, 0, 0, -100, 0, -2, 72, 0, 0, 0, 0, -68, 8, 0, -4, 60, 0, -184, 100, 0, 30, 0, 0, 0, 184, 0, -20, -74, 0, -132, 0, 0, 106, 0, 0, -28, 0, 0, -288, 136, 0, 32, -32, 0, 0, 104, 0, 20, 198, 0, -72, 0, 0, 56, 38, 0, 0, 40, 0, 60, -62, 0, 130, -6, 0, 0, -16, 0, 0, -90, 0, -68, 0, 0, -200, 28, 0, 10, 56, 0, 278, -36, 0, 130, 0, 0, 0, -288, 0, 0, -62, 0, 128, 0, 0, 82, -24, 0, -16, -84, 0, -136, 80, 0, -264, -2, 0, 0, -302, 0, 52, -2, 0, -24, 0, 0, -16, -12, 0, 66, -56, 0, 8, -80, 0, 33, 48, 0, 0, 20, 0, 16, -20, 0, -24, 0, 0, 80, -32, 0, 0, -36, 0, 64, -162, 0, -244, -4, 0, 0, 200, 0, 8, 144, 0, 60, 0, 0, 166, 26, 0, -20, -44, 0, 56, -16, 0, 46, 4, 0, 0, 352, 0, 18, -205, 0, 32, 0, 0, -16, 0, 0, 16, 32, 0, 180, 112, 0, -22, 6, 0, 0, 324, 0, 0, 132, 0, 116, 0, 0, -304, -14, 0, -26, -16, 0, 432, 10, 0, -74, 34, 0, 0, 216, 0, -78, -52, 0, 24, 0, 0, -11, 2, 0, -56, 0, 0, 200, -184, 0, -2, -30, 0, 0, -16, 0, 0, 50, 0, 52, 0, 0, 128, -2, 0, 24, -4, 0, 24, 144, 0, -108, -40, 0, 0, -192, 0, -90, 10, 0, 0, 0, 0, 0, 28, 0, 20, -40, 0, -64, 148, 0, 83, -12, 0, 0, -128, 0, -36, -144, 0, -48, 0, 0, -364, -12, 0, -86, 32, 0, -432, -170, 0, -64, 28, 0, 0, 36, 0, 10, 156, 0, -136, 0, 0, -98, -24, 0, 0, 0, 0, -216, 16, 0, -68, 18, 0, 0, 10, 0, 40, -90, 0, 124, 0, 0, 292, 0, 0, -22, -36, 0, 392, 58, 0, -98, 12, 0, 0, 268, 0, 24, 240, 0, 0, 0, 0, -102, -24, 0, 8, 64, 0, 540, -174, 0, 128, 48, 0, 0, 88, 0, -24, -140, 0, 196, 0, 0, 226, 34, 0, 26, 0, 0, 52, -42, 0, -4, 0, 0, 0, -280, 0, 96, 22, 0, -8, 0, 0, 56, 18, 0, 56, -16, 0, 288, 37, 0, -2, -6, 0, 0, -388, 0, 0, 20, 0, -176, 0, 0, 236, 8, 0, -30, 20, 0, -368, 12, 0, -188, 0, 0, 0, -316, 0, 34, -8, 0, -96, 0, 0, -236, 4, 0, 60, -88, 0, -174, 36, 0, -36, -24, 0, 0, 148, 0, 0, -16, 0, -140, 0, 0, 16, 32, 0, 16, -40, 0, -256, -70, 0, 64, -62, 0, 0, 316, 0, -82, -194, 0, 0, 0, 0, -226, 0, 0, -16, 48, 0, -564, 256, 0, 264, 34, 0, 0, 288, 0, 88, 26, 0, 8, 0, 0, -2, -36, 0, 0, 80, 0, 220, 54, 0, 222, -36, 0, 0, 256, 0, -12, 24, 0, 48, 0, 0, -102, 0, 0, 40, -12, 0, 0, -218, 0, 346, -14, 0, 0, -388, 0, 12, 112, 0, -100, 0, 0, 24, 4, 0, 0, 96, 0, -1064, 226, 0, -190, 2, 0, 0, -324, 0, -20, -28, 0, 112, 0, 0, 175, -6, 0, 0, -44, 0, -68, 99, 0, 248, -36, 0, 0, -332, 0, 16, -128, 0, 64, 0, 0, 136, -36, 0, -32, 0, 0, 64, -224, 0, -266, 72, 0, 0, -128, 0, -30, 198, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 320043
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '49.2.a.a', 'target_level': 49, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 320044
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '49.2.a.a', 'target_level': 49, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 320045
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.2.c.a', 'target_level': 49, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 320046
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.2.c.a', 'target_level': 49, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 320047
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.2.c.a', 'target_level': 49, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 320048
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '49.2.c.a', 'target_level': 49, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
-
id: 320049
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '441.2.a.c', 'target_level': 441, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 320050
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '441.2.a.c', 'target_level': 441, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 320051
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.e.d', 'target_level': 441, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
-
id: 320052
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': -7, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.e.d', 'target_level': 441, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 320053
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.e.d', 'target_level': 441, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 320054
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '441.2.e.d', 'target_level': 441, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 320055
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.a.f', 'target_level': 784, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
-
id: 320056
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.a.f', 'target_level': 784, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 320057
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.i.f', 'target_level': 784, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 320058
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.i.f', 'target_level': 784, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 320059
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.i.f', 'target_level': 784, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 320060
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '784.2.i.f', 'target_level': 784, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 320061
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1225.2.a.c', 'target_level': 1225, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 2}
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id: 320062
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1225.2.a.c', 'target_level': 1225, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '105.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 320063
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1225.2.b.c', 'target_level': 1225, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '105.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 320064
{'conductor': 105, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1225.2.b.c', 'target_level': 1225, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '105.x', 'twisting_char_orbit': 24, 'weight': 2}
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id: 320065
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3136.2.a.n', 'target_level': 3136, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '168.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 320066
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 14, 'target_is_minimal': False, 'target_label': '3136.2.a.n', 'target_level': 3136, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '168.ba', 'twisting_char_orbit': 27, 'weight': 2}
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id: 320067
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3136.2.a.o', 'target_level': 3136, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '168.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 320068
{'conductor': 168, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3136.2.a.o', 'target_level': 3136, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '168.be', 'twisting_char_orbit': 31, 'weight': 2}
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id: 320069
{'conductor': 231, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5929.2.a.c', 'target_level': 5929, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '231.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 320070
{'conductor': 231, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '5929.2.a.c', 'target_level': 5929, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '231.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 320071
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7056.2.a.bg', 'target_level': 7056, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
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id: 320072
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 33, 'target_is_minimal': False, 'target_label': '7056.2.a.bg', 'target_level': 7056, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 320073
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8281.2.a.d', 'target_level': 8281, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '273.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 320074
{'conductor': 273, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 2, 'source_hecke_orbit': 4, 'source_is_minimal': False, 'source_label': '441.2.e.d', 'source_level': 441, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '8281.2.a.d', 'target_level': 8281, 'twist_class_label': '49.2.a.a', 'twist_class_level': 49, 'twisting_char_label': '273.ba', 'twisting_char_orbit': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 890750
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 13511073793573305, 'p': 2}
-
id: 890751
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 3}
-
id: 890752
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 5}
-
id: 890753
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 7}
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id: 890754
{'charpoly_factorization': [[[16, -4, 1], 1]], 'hecke_orbit_code': 13511073793573305, 'p': 11}
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id: 890755
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 13}
-
id: 890756
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 17}
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id: 890757
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 19}
-
id: 890758
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 13511073793573305, 'p': 23}
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id: 890759
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 29}
-
id: 890760
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 31}
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id: 890761
{'charpoly_factorization': [[[36, -6, 1], 1]], 'hecke_orbit_code': 13511073793573305, 'p': 37}
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id: 890762
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 41}
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id: 890763
{'charpoly_factorization': [[[12, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 43}
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id: 890764
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 47}
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id: 890765
{'charpoly_factorization': [[[100, 10, 1], 1]], 'hecke_orbit_code': 13511073793573305, 'p': 53}
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id: 890766
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 59}
-
id: 890767
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 61}
-
id: 890768
{'charpoly_factorization': [[[16, 4, 1], 1]], 'hecke_orbit_code': 13511073793573305, 'p': 67}
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id: 890769
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 71}
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id: 890770
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 73}
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id: 890771
{'charpoly_factorization': [[[64, 8, 1], 1]], 'hecke_orbit_code': 13511073793573305, 'p': 79}
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id: 890772
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 83}
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id: 890773
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 89}
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id: 890774
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 13511073793573305, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 4, 'label': '441.2.e.d', 'level': 441, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEQofwQXWpAAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13mGzZWd4N/1bYe1fsfHKYM+FMHs1IkxVHQgnJWAJJICNyNsbG/mwM2NiEzxiQ7RcDRi8GhEAggYQQEpJGYUZhgkaTczg5p+7TsXLtsNb3x9qpqntGvLzyNwi7rqumQvecrtr73ve6n/sJS/B/bt+w28c+dQ9Sii1PHTgxaRNrt896+J7kkaMdXv2SGXHLlY2lux9N2D67PHv9FaftEwd2UPElW2Z7NOqJMHLvGtj52e2vAtgGrAJ9IcSL/dW+aW/6xf4A3yy3Q8fOAVxoTLLFIkyvH/JXH/9r9m4/w55ty1SUz5FTH49W7Mt+qd9d+Uda2Oj0OZ8tM4KoN6CzFvunTy++/+RpgUgGP3xyohuenV9k2yycGIRMNBJvEB/79G//yb5fevbUJ8R//+Uf+Y3500f/shI/8Uh3bb+yBCCEVNKbB45WG9tf7EPyTXH7P9TwPLfnDp3HisqUZ4++urvyJFrI6PTK5L/qDOQbpLCEUcyjjz5Oo7rKJdtbrHYUJxeqYIbEUcx007L/pM9VFyacPS+Znohp1gMOn9UkJmKuITizFHH1RYaDJyUzEwbf96lUNEfPS1a7cOnmmL27p7nsipdg8dAKeqG+Y9/RwW8mJvFe+6qruWTPjrthuCrE5hf7kP29vP0fgKe3ldVFLLypUR9efOxYx/zyb33UvOfNzQu7w80/120foV7xOXbyHO32EmGkWelJEutT8SzNwLLQjjl4dsD2mQqTVYUSEXMTPnt3KXoDEHLI6fOaQQhnlgQKn/4w4uJdli3TXSSSei1k66YO+4/PsLxapV5JCHREb2BodRVhHDM1PUe9sR2lh1x16YU8sW/x12+5bP7ojku+T0ZiUm7fpA5j+XxzYu7FPqR/L27/2wN839P3IIV49cpa9MYnDi2988oLz1827Pq8/+MHuOXqVRbPe5xY7LFjVlELYG7ScHolQEmLFIZtUwknFirUa5ZHDg/pDQUVH5bW4MI5Ta0asGUu5tVXt3n26ASP7BM8dyLm1qsSts8a6nXBri2rLK4qKgH0h5bH9s/SqEqOLPhsnR4gBfgq4dyyYqIeI0nYvjlicalB3xpee12d48tXUmkkvOraif1nlzZ/LIzlF4Tg7je/8TUv9iF+UW//2wG822lRrQTT5+YX//P7PvgF/9DJ55J/+rbgZcsrE9d/+LMLbN10nNddV+eLD03SN2u84WWae5+ocNHOPt2+x9kVxTASBDrmip0Jm6eHLHckTxyZIIoFe7cPWOgorrmoz8FjHu2BJhzCjVd0OXCqRrMasu+05uZLJWE0pD3QPHFcct0FCa2Ox8U7QsJI8tRRwVKnwtYpuGxXB19LwgjOrXh0hjGXbPO463HL627oMuxP8tkHerzmhjWuvXAnDx7YztKg98h3f8v5R7fOXaumdrwlrDVm/l0ShyvTUxMv9in4/+vtH3yQefjIcXxPi4988l7e+PK+UsPPvu/ocf/SBx4998rTJ06rcwttDh4/yZbGBDtm6jx2eJZXX7fCyy6b4PMPNXj4cI8LtlrOntds22TpnbFE1jKMPE4tSjbPDBHCsnfHkOeOagK/z0VbfeYXPaaagpuviHjykOGpI016UYfdW0Je4k1wZgmeOFjl0t0xu2bhyIKgGkQgFAdPaywR0obsnLM0qqBEiKc8Wn3YuUlx/Kzg+ss7TNXq3PG0oDkRceuVDR59Br766BF27upcb4by+mefO87pr/11ous7r2jH3oE/+NCf/+Rt14hkZvtrsCa2c5t3vdin6H/p7R8kwFtrZ5FSyeGgXfnUX/zS8BXf+gv/xiTJ9/7c/zge/eL3Hri8Jicq3dUKE4Eg7EkeOyj43td3ufriBmeXK9z5SMB3vHKNay+a4UuP+1y8s8eWyQbHz8bceFnI/lM+k/UIkDxzvMa2acPyqua+ZxPuOwTX7LZcsVOy0hHc+5zktVdFTNYVq50Gp85p1toW5YV835tXOTHfZK0jeOmlA665eBGPKeaX5ji1CFdcYOiHkmPzAVM1zb7Tkkt3QqcjuXT3Enu2VfjSwz7Hl/u849WGhaUp9h2HVphw3SUhIplk/9E+zxzer/afP/qayenuzb/9U5UbjbnBGw6Hf/qt7/i5//rUM4eCmemJQRzH5oLd//CcmX9QEiVJDEIKSbI82V49fEt/oP/g4MGj8VcfODjz2LPnmk+fjJnZtMx//CdDbLKNJw7UeOJgxMH5Pm+8tcUrLq/z5IFJ7n4qZHKmy7e/XPL0/gb3PtPn8otidkxXwfYRWuBJzeFzmk3NhNbQ0qgMOXE+4dlTCQ01xRtu6LK61uDB5yxX7RFcsishiQUnFz2SxHDJDsGVF0Y8+Kxgpdvj9ddLqvWzHDje4Pi5KWqBoNPzmJ2IOXLOx9dDlFRYo9m5ZYUrdyvueXyKR45GvO3VLTbXJ7nnsQqPH+tx87WrvOUGn8Mn5njigOHJIxE92eUXvmeBHVObOHhqluXulnZtYs/yBXsu1gMjf/Taqy+6f+tMcw2sEUK+2KfyG3b7B8PgZ+aXOX1u+YJ7Hj26Y++O+GN7Gp+aOHWiWz9xVJKEHpN1wY4peOr4FPc+N8+337LGzi0era6m3Q/42JfqzDTaXLNXMwjrfPUZyyfu6/GOV7aoVBo8dshj20yXmabPqQVNu5/Q6/Wpb/aIjGa6rtg2JXnVVX0ePxSjpSDwY4JazCNHFfWGx47ZkGEM22fguksXafU0w3iKyGiePi558uBuAlUh8BP05JD+ECaaffYA7a7PqfMJM5M95iYafOFBn6dPhrz9NV12TDa578kKTx0bcMVFq/yT2xIOHp/iyGnB6fMx51oJb31Nmyt31dh/tMHCkuDYmXPNY2eONRcHDzO5dctf/s7P91q2Gr0z4orTw/7S8aA6+2Kf0m/I7Zse4NZagEtv//xd22Lr/c8vfXXfJb/y0F3qT37uDLONTUxPzNHqeXT6mv7Q0B7AB78wzbaZZW7Zq+kNZhlGHv2wxoPPhYTRKtfshcCv8dB+xcfvaXHVBWu88po6h041WVwbUPVj5qYMe7crzi0rVlqSdiehUR0S+B475kKOzXto2eftL9c8esDj8t1rTE62uf2xGu1+wOxEnccO+lxxYYeZCY/j5wXb5zwqlYipSoKnJVIKHtk3zUS9R9UfcvFOhS+rfPUpS622xjteAw1vki8/7LP/dJ9rLlvhuovg1Nkt7DvqcfxsxLOnLddfvcoPvD7i9MJWzi1XWFwVrLQT2gPB/tM9ZnoP1ftnPl9fjt90d6TUoXbX/ri19ixw4Js9i/pNC/B2axmt9SUH9z/9ktW17k8fOXLk1V++7zmeOtphKWzwe59s8jPf1WXrbI3uQNMf+AyHHv2hpXu2yu0P1rn1ymWuu1QBU1jr8cThKf74QJd3vLbNLZdHzE7WeWTfFHc8OGDr7IDLdgs2TWiOnPXoDSK6PWh1BVpbts8moCRShvR7knOrFTBVNk2EXLy9x31PBQyJ+fZXRCRhjcOnJXNTmu0zAmNiFlc17cGQfuTT6frsnB0y0xyglERrQRRpjpyGuakeN18Ts21Kc/DEBF/dD2dXOlx/TYd3vybh1NktPH4g4MCJmMePJkSiw1tvHDDoz3J6ocb8smRxNWKlFXNmRRLU+vz0O9ao6QrHDz+mltvzl+n61V9p94K7la781srq2pNxHB/aNPfNyejqxf4Af5fb2vJJAt+74OzpA//X8WP7f/Hee++/YN+BIwyHkbPTQsUzJ3y2b25x65URURQQJRpjFdYKNIaT8z7HlwwXbG2zZQpqQYWKp1FonjiimF8b0GyGXLnHcOmOgE63wulFga8jIqs4u+pxdtHQDgVaazZPxiysGo6f85lqSASaTdMRKx3L1RcMkLLGueUae7cHHDwRcGrJcsUFQxZWJFHs0Q8Vl+6MEMLS6Uk2T8bMTQ/ZNB3iSWj1FEEAe3cIVlcbfOnRKofODpiebnHby/rcfGnAkZObeOKAz7NHY44uhjQmW/zQm7pcuXuCE+cmOTnvcXYxYWE54uSS4NCS5W2vXOCH3xTT7c0wvzzJuSU4cPgcz+w7dkGrE33XcJjs3rxp7v4f/6f/bO23f+s3X+xT///49k21/iT9Z5GqOjfonvrpsycfu/rc/ODt+w+eYmktYGlNsLQWsriacH7NcmxVMDu3xs9/5zI37a1z7OwMJ+drnD6vOHs+4eR8xNFFg651eccru7z1Rp+T8zPsOxZw+LRh38mIRA7YuSnk1qsNuzdJTs7XObUgWWkbBrFBSphqwNxEzEpb0+4qppohWmimmgmVIOLBfQEXbjHMTcWcW6riKcOZZcOmKcuFW0Me2Bfg+4qZBigVMVuH1a5guSvY1DRMNyOkhGGoWGlrTixoTi7G7N4y4JarY3bMaUhq7D9W48hpy3MnEk4sD3nTy1f5jlcOqaopjp+b4vhZzdnzCWeXIk4uWg4sWm68cpGf/c4WWyamOLM4ycJylfMrHourML80ZH6xz7adFyMr0594zatf9vTei7b/Vrc3WHz5tRe+2FD4W9++aQD++3/2AVr9oHnx1uXfv+2K/d+5sNCV84uSpbUGi6s+51cly62E5dWQ5VbCuTU4vCjYvGmVX3zPCtdf0uDEuRlOLVQ5u6g5u5hwZjFi/2mDrvR50y1tXn+doaonOH2+wfGzHkdOw+nlBE/3mWgknG8rer2YJI4RCIJKlZ2bPC7ZGjI5EXFuWdDqai7eFoGF0MCJhQqdvqVZFdR8gSQmCBKatYR2z+fEeRgaH2Mtl20L6fQSzi5pphoeF26L2bW5S702REhLGApavSqLLZ+pmsCTHmfP+xw+Izg+H3NyOSao9njd9V3eciMEcpIDJ5qcXFCcy5h70XJoyfKyKxf5xfessnVqkhPnpplfqrK46rG4Kllei1luRSytxZxbMbRtne1bZ8y/++Gpj958tf9jC8tJ++LLf/zFhsTf6vb3GuCrqy0WeoK6Z3/t3scO3vrv/suH5M17z936e//qmF5d28rS2iRLq7WUwTXLLcHyWsJKO2J5LWF+DY4sCzbNrvFL37vMDXtrnFqY5uz5OmeXNAvLlvmlmNOLCec7MZPTA15+dZebLgNfVglUwMJKhXNLmvkVQW8IcWyo+IZ6JWFqIsYAJ+Zj2l3YvdmjXh1irQDh0+0bdm0ZsrymwTopstaFYQwWy0orZPsmj05fIZRFmCHNiseurQPWeoITZzWJ0cw0JY2KIPAgjgW9oWR+RXJu2bKwGhMEA/Bibr6iy61XCuaaVZZXm5xaCDi7BAtLMQsrMWdW4Miy5WVXLPHL37vK1skmJ+enWVipsrjis9QSLK8ZVloRK+2ElbZhoS053obB6jKf/e1efNvLgq+Z+k8aVb36a1LFPx+GVYJK88WGyvPe/t4Gme97/18xNTXB/Pzir77/o/f8qz+7/bHg5HyfJI544ojPtXu6hJFPGCmiRBIbQWJTnQ1YC4gEIS1Hl6b45Q8JfvWHFrhuT0ijOk292qBZC2jUPCabioVlxfyq5kv3V/jsfTGX7Oxx2YUxK6t9Lt855N1vNESxQmD59AMVzrcqVJMhx88put0G11yccL4ds++Ax96dkkNn4eZLodWB0GgCHTJbh4NnqtSqEYGKmWgI1jpw4+UdjpwO2LvbcOzskGePuH/P2zngyIJlojFkpR3ymS/VsEKRJAmvvrbHLddZ5tc8rrtowEXbPOKoSa9fZd/RCvNLwsm11ZiFFcPJFcFCN+Tavcv8x+/usqk5xYlzkyysVFla81hqSVZaCWudiFY3odUzrPUFSwPJsD/kpqu7bJtY0p21xqs6C3+Gatx2y+SWN5lao/nv9z/xcS679jtebMhsePt7yeAf+vOPc+tLtqtP3nX4Px4/Mf/vH33mhDq7ErEy1KwMYl6yZ4Hf/PFFrr24xsLyFMtrdVbaFVZaHsstzWoHVlsJq+2YlU7MUgtOrQp0dcAtV67wna8K2bOpzlq3yfkSe620DMstw2rH0O4b2kNLbxAz04zYtdkAgsCznD7vIWTA7k2KPdss2zb1WFgd8uShBi+9xFKrrvLM4Wka9ZAw9JiZMvQHcPmuAR/+yiSX7owZDi2zE5Io6dOoBDx7fEDVq3Pt3pinjoYsLPtsnwnYsxV2bQlRKuL0EvieRQjL7s0xUw1Jpx/Q7Xm0ex4rbcXKGiy3DCuthKVWwnwLlgcJu7Z3+c5XL3HLZZqK1+TcUpOl1QpLa5qVtmC1ZVjrRKx2ElY7luUunOsozq/F3HjZOd77E8tcuqNCq9ug1anQGUyiqxcnQW3Lr863rvyVqerx5OZXvu3Fhs66298rgB88eIBKtVI9c/r0rkcefeZdh4+d/U/7Dp1mGCu6Q8FaX3B+IFnsRLzsogX+208s85ILq5xfmWJprc5qu8JK22O1rVltw1rHsNaJWevErLQtCy3B2a4F0eXtr2jx5hsMF26tEIY1VlsV1ro+rY5itSvo9ASDoSWMLUkCSloCD6qBZbJp2TQdob0BR86FPH04wMR13nhjiPbWeHTfBBdshc89FPOKqwLOt/pUtCJOIqanII48tBezvFzj5de1+dz9DfZshUcODfGo8YYbDLHo8/SRhGOnK2jps3lKM1UXVAOB7wuUgNhAGFkGIXR6lrWuodMzrPUMy11LP0nYvaPHm29q8fZbQzANltcmOL9SZbnlsdLWrLZgrZPQ6sasdRLWuoaVrnDgbsdcv3eB9/74ea66oMpya4JWt0q7G9Dp+bS7oKs78atbf2HT1sv+ctv27SeHw0H/kksufbGhlN/+3gD85IlDzM3O+UeOHP6BAwcPve/+B58QSysd2R9Cb2DoDCydgaA1EJzvS853Im64ZIHf+JEVrru4wtLaJMtrdVbbAWsdn9WOZq0jWOtY2t2EtU5Mq2tY7VrOdwTnWoapyR7f8rION18Ws3uzoln1aHcqBJ4EFGEsMUZgLPQGgDBMNQYcOmMxNuTOR+oMe1Uu3u5zy9U9IrPGPY9Ncu0lHofmu7RWm9x0dY8vPRqwedqy74Tln72tzb7jAZunJV98THHL5YqVXpujp6a5dm/IPU/3iYc1br7C56KdA/pxlzseVZAIjpzWNGsaLaDXlxgrSIwligFp0L6h1bXUGxE7tw659fIe3/LSmJl6hYWVCZbXqqy23bFZbQtaXWh1YlrdOJUllpWuZL4rWOzE3HTpeX71Rxa55sIKy2sTtLo1Oj3f3fuaTk/R6QvCpGp2XXCV3X3BRT954UUX//Hy0mJ4+eV/P0D+9wLgJgllGPbf+uQjn7u41TbvffiRR7xWV9AbOInQ6xt6Q0O3BPLFvuRcK+bmy8/zaz+yyEsv8llrT7C42qDVrbDW8VnralodRasHna6l3YtpdxO6fUOrZ1nsCha7ECVDrrmkz5bphG7P8qabhlywxRAnEi0tYQR3P1nh5PkKW6dinjlSAVPjsh2K6y41BJUejx7qsbhU58oL6jQnV7n/KY/rL6mw3FtjdbXJli2Wh/Ypvvu2Lg/v0+zY5LHUbbG6Ms11l/e4/5mE6eokV17c5XyrxUPPTVLVdV52qWXvrgHILk8eE2yajlhYjLjnSY9BpJASEmO5YGvIt9wU0ukqtk0ZrrsEwrDGSqvGSitgrevR7ilaXUm7C+1eQrub0OkltHuGtZ5lpS850xK0BkNu2bvIr/zwKtfvDVhYmaDdqdLuVej0XVa421N0+5JOX9DqJqy1Q6697vooNvrfvvtd/+hwo179jO975sXG1oseZA4GPYbDwfcunH74N1fOH5g+c65FrSqxSISwCAGCGCFBCIMUFilACYOSmocPbubn3695+y0rfNdtK+zZHjK/3CTwq1QDn1rgUa9qOlVJo+8xUdf0BgndfsLmoaE/tHQGASuLFU6fsoSx4cx8TBBYQOAri5aCXl8h8Ih7mpdcILhom2XX9h7DpMPnH1bsPzzF618acN3lq3zw8xZf1Lhge4+n7ldsn1TMNntUVJUw8jjfgXpFs2Oz4In9IdftrfKqa5f4k9v7+F6D191o8YIeX34o5HMP1nnuWJULt9W4YGvC3FTIntmIqy5IUMqglQUstSBgbjIgjDw6PZ9nDnl0B5peX9EdSLp96A4s3Z777p1+Qrdvafcta31Y7CkWVi21ZoufetMi//iWIddcWOfcUoNWt0qnF9DpOcenN3Dg7vYF3YFlMLREieDuex/2qo2Z39y0+aGVN9x247/qdnt/Uq/X/vcFeBR2AX749Imv/dqJA1+cHvY6VP0KSaIwxmKNIEu2CpkgBUhhkNKipEUriy8lTx2a4/GDdQ6ePc/bbu1y6xUDJhtNVlo16u0Kzb5Pt6fppCe7P9D0hprB0DIIDWFkiSJLnLh7GPtYA1IJPC2o+ILJhmCqAVtmDTs295idavGFR+Hexz2kmeD1L/V4yWUd7nsuIhw0ueUlgla/z/nlOjfvNcxO9qjqgEGsWGxHKCN4yV5NrTHksQMVXnndBDdd0+GxAwrsBC+9wueH3rLCl54I+eLDdfadrLBrTrFluspUo8ZEA6oBeNqiJBgL+44JkkQQxYIwhmGE+47DhP7QMBgaeoN0NexDewiLXcn5DgzNgNdeu8Jbb23xT15niOMm80t1Or1KKkk8uunx6w0kvUG2wib0hwnD0NAfGs4tnePPPvqF6Sgy/+Ufv+WVutPpvb/RePFA/qIBPInOI2T0Q+2FL/5a+9xXNmEGVIMAYw2JdboXJAiBEG4plgKkFDlzaWXxlKHqCZZ6VT7ylR18+fE2r7hqjfe8do2r9nSZmayxvFaj0w/o9b0U2MrdQ8EwkkSxII7dUu9qt1xQqTVUfKhVDdONiO2besR0OXQm4qP3VDh6qs5kUOX6KzQ3X93moYMt7nygyY2XVNi1tceHvyJQIqDZiFjrDjEWlIC5Zo92x8fEVd76ivN85HM1Llqo8OYbe4TRMvc8PUOUVLjhik28+fo2l+xs8eXHejx1qsaTx3x2TEumm4JaIPA9dxFKAUJYjAVjLFGcXqyRZRi5C3kQQj+EzkCwOhSsdEDoAddeusZ7vmWNV1yRMNOssNaus9ZxrN0dePT6mu5AlYAt6A0t/UHCIAV4P7TO3xeKs+dbvO9DX9p0rsuvfc/bbrWn5lf+aOeW6f89AP5dP/Nh/uK9i/QW/vr7bNJ5b3/5yVlf9ahXGyBijE09bCsQWAQghEAK5cAtE7QSaGXQyuBrS6AtVS1YHSiWW1N87O46Dz7T5ZZr1njP69a49qIWM0mVOA7oDSp0+x79oXYeeiyJE0liBCb9m1JYAt9Qq8QEfojvDTmzPOT2RySHT/scOz2FMgEXbfW5fI/ipZe1UcEiTx9psH2yxpUXwpa5VVbaTa7aLomN5QsPBwx7ksl6zBtuGPCZeyJOzje49GKPc2sDnj3qsXPzFNfsWeS+pzrc/6xgGPpctmeay3YGXLajw5FzKxw+Aw/vr3HoaJ2aFgRaUg8sFQ+kdEGVte5ijRMIYwgTQXcoaA8E7QhCE2PsgJdd0uY939LmFVclbJ0OGAwmWG5V6HQDugOfXl/TGzhJ0hsK+gNJfwj9MAX3MKE/cOB2q6F1pBErTpxu8d8/dPemJw6de+/mqSC+/vs+/cH73nuYYOtP/8MF+NGn38+FV4Ov5/7JzqnHf/t7Xvno5PYZj8BvkJjIZQAtKawBFEJIpJQoKVBKOXBrB3JPC3xt8D1L4FlqfsJkRdAZeqy2p/j4vU2+8uSAzVM93vXqFpftHDDod7lyj2XnFsUw8kgSRWIkNgO3NHg64cSC5di8YK1v+NR9Nc4sTWFDj6mKYtuMZvcWzYXb4cqL2hi5xB98ps7KygQ3Xqa58qIWX35SIGKPTVOSei2mF/lIK8FKlPZpDQQLK4IrbI1Xv7TD1x6rsm3W58Yrp/nBtyzxx5/r8PCBOt2Bx/Jagz3bqly6tccNezt8+ys7nF1Z4VP3BSz3Ak6c8zhzxsdTAiklAoGxlsRAZCxJbJiaibj6ih7DYcRlO4e849VDNk0ophsBUVTh3GKFXt+nN3SrXD8Fdn8o6Q8F/aFgMMStBMMkvRsH9tAwGEIvFPQi6EaSAYJzp5e5797Pzf7qP5357V9696WRv+Vjf/7//e8f5j/8y+/+hwfwr933P/jl27eLhUMH3nn/Uyf/8Hc+ur92w+6IS7YbBqGHMc6SSzk7ZW7HSlKCkjJl7vRROyD6WuB7hopnqUaWWmiZqCRMVQW9UNIJ6xw7Xec3/nwaTIyIY156dY89W0LiGIw1WOuSOFIIpBJoz+fASZ99hyvUK5qGL5mtCeZmJJumNdvmFLu3Jly6e41ELPM7n2hy4uQkN+71uOyChH7c4YGnAyarHjMTlslGSK3qpJAxktZAsdK1LLcSWt0qL79yjUf29dh/UjHZrHDDFZP8yFuX+d1PwmOH63T7lrWOZmGlyZbZGpumBuyeGfBv3tmjWWvx1DE4cErieRalLEIYUqbAWohjuGBLwi1XxSSRRxQHWFtjEHrML/n0h25FG4Qql2/9UDAYSgahoB/CMNXyw9AwDE0qeVJwh9BPf68XClqRoBtbiEKuuqBFwOnJX/1A8w975kfi3/yPUx+b2fTH9p+95wf+4QD8Z3/jI/z+Zy9QF04/8fYvP3T0g1fseLjy7m+R7NgcI1RMNfCwVmJxOtIxaXF3zG3xtKuN9rTA9xRDTzIMDUGYMIws1cgwjAxhaGnGMIwMwxjCWDCIJMMkIEoq7D9c58n9kFiLg7bTxp4EX7maj0YAV26FZhUm6pKphmJmUrNpGnZtGbJ1bo3IrvA7n5jgyNEJrrtQceEOyUU7Vrnr2ZiF5Qleukcy1TRU/D6BDLBKECcSYS1xErLarbCw7HHdZVVesrfDfY9V2DwlqFUaXLfX8FNvX+a3P2l49kyDta5hraNYXNXMTtaZalaZak7QrEXM1SN2XxcSeDGejlEqQQoXTFjcRRVFivOLmihWRLEijBTDKH0MJcNIMgwlg1AyDIULUEPBMLQO1JFhOEwfQ5PqehhEKbgj6A4FrUiyGkEURmD7nF20fPwejwef3Ff7nrcnH3z68e3mJ7/74k98563vTzZd9MPf/AB/5snf4fILzqu/vuv8O973l+0/+d0Pna9cfuEcjx+QvPIlff7TT7S4cme3ALZwqWipnFxQUuMpi6cUnrZoLfE94U6CJxj6ijByQI8iSxgnzhWJS/cE4sSSJIbE4PS2IQe3EKAkaAmeB4EWVAJBLZDUa4qJmmRqQrBpOmb3lh6N+hqf+FrIPU9Ps7bU5Opdit1bPS7ZOSARa3zh4Rp1TzM3pWjUBjx9BJ47qrlqp6U3VFxzScTVF1nmzyUsrvr0BzXeeH2Hrz7V59AZRb0qCfwmV11o+JXvW+buZ/t85u5ZltuW3ZsSVluayaZiou7RqHnUq5ZKYAh8Q6ATdHrsZNpaaS0uYWUEsZHEiSCOBVEsCWNBFEmGkXNewkgQRpYwhGGUEOak4dymQZQFrjgGjwT9UNCLBWuhoBVDOAyRUYeX7GnxCz+4xiuviXjsQMjF2xYr2r/hz/7i4/r7Hzg0/Vf/5fffn/zMj/2vBfn/coD/6e1zUojhd7U6R37vgf2LlV44y8JTTRBDbr+/Shxp3vGaNu96bY+JhkH2DEIY55RID60MnmfQWuNphe85tgk9ydAXhJFwJydSRDGEkXQOQlzYfnFiSBLnLiQ2dUpSt0QIkUoggdYCXwsCX1IJJPWqoFmzTDYMm6eHzE11iO0aH/uq5I8/N8OmSoWrdwl2bfW4YJth99ZVPvGAZWWlwmVbFFNNaNQiFo5Lzq8G+HtgGAnmJiSTk3DomGW1bZhfqnDJBRVue2mH2++tMNOAwPdRcpKrLhL86JvP48nzfPq+KZ47U2FzO2LTZMxEXdGoKmpVSTXQBD4EHmjtHCZnq5ZAjruwEwNJIogTUqBDlFjCGKIocaQQGcL0cRgZogiGkStdGEaOuQexA3c3FqxFgk5kSQZDJiptvvONy7zztg5veKkhjCrcepWmPwhYXD1QmamIP/zpf3Sxrlb8v/gZxzPfnAD/84/+DXFivu9TXzr637786FIzkB6qIhh4AXHiYXTIFx72eOCZgHOrq/yzb+8z1YyoBDXa3QStErRO8CIPXycMPc0wUg7gKXM7xhGOiVJWimOIEkgS5yQY4wIuY2zWw5mC2wFcKZEGrQ4glQBqFUOjGjPZiJmb7DM7tcbX9of82Z1VDhyb5IIJj4u2wI4tPjs2w6W72vTiNg/ta1JVHnNTiskGTDaGTE3E+L5GCHdx9Yc+K+2ItZ6l1Y05v+qza0uDmy47z50P9zhwpkktiPCUjxATXLRd8T2vW+Jll57nz+5s8NAzkyx3NZuaMZO1mFpFUq0oAk8QeBLPc7GKUqT2oUO5q7K0bvVKgR4nJl3dHClEsSFOHLjjCMLYFvfIuTKDWDCIBL1I0IkF7RgG/Rgb95mptfnJ71jhX/+TLvWKR7tbI4w8otgjTjSBJ9g7d7zZXm38zqq+wX/sgdv/+KU3v+WbD+BLyy2kkj/8gT/9xK/Nnz09s2NSMIgNw0TQTwT9RNGPK0TKY23o8d8+6rPvyBr/6JUdXnVth82zIZ1Ohf4wwA99Qs/D9zRB5Oy9MHK1IlEkCWO37EZx6mknpNYfKXPL1H5Mwe2SlClzg1YuYeJ7lopvqFZiGpWYqeaQrbNtFlo93vcpjy88Ms3Kap2L5wS7Ngm2b/LZsUmwZ9sA7a/xkXs0R0/V2btZMtWQTNQTpBxyZtESaIkUYK0gjDS7N7V5mIR2T7HatiysVNm7o8K3v7rFX33Z5/hCgKcjhPAwtk4US166Z5Xd727zhcd6fPgL0zx6vM72KcFsPaFeSaj4gsAT+J7E0wKtcIGzFLkvZXEXmbE4pyVxgM9BnjhJ51ZBCBNX6xLGgmEMw1jQj6ETS7oR9CND0huyY7bNq65b49te1eVNL0vwRY21tQpR7BHFmjhWRLEmijX9oabdPT8zs7313muu/8cqGq693wsmv3kAvrS8RuDrH/z4p+/5tXvuf2YT1lLzHZi8BPzEUokFFSnoJZq+VLRCj4/cVeHup2pcd1mXd7+uz7fe2GZ2YkhvUKEf+gSeO1jDyB2oMFLuwCWSOJZEiSCOJUkiSIwotLYR5KrEpu6MAKWc6+Apg+8ZAj+hGsQ0qkNmJ7v0oz5fftry0bsmeOiZSaZ8j6u2W7ZOSzbP+Gybk+zYHHLh9lWeOt7nU1+dY0Jp5iYEzbqgWYto9RI+90CFhu/KDoyF/lDz1luGfPZBVxPT6hrOr2p2bGrwtlu7PLS/w75DPvUgRknhQG5qDEKn9b/nthZ7t57nI3e3uf+5SU6uVtnSFExULDXfUNEG3wOtBCp1oRyTQ1Z+ZFKpZkyxwsUp0B1BQJQIoiTNiiaCfuzunQSGoSEOQ+rVLm97/Srvfl2b6y5N2DylGQwatLs+YQruKNZEkUoDXHferLV0V57adPb47K9tveDVZjhY+0BQ+caD/BsK8FarxcpKG63E937uznv/69/c/qWZ1dVWOgIBpLToOHUrJASJpZIyeld6DDzN6bbP2QfrPPh0j7+6qsM7XtvjDbesMT3hE4Y+w8hPlzxNFDlXIE4UcZImbJIC4MamzG2KmrKsvkXJNBuqDb6XEPgR1SCkUe2T0OdLj0n+/CuTPHNsAhEFXDBl2TppmZ1UzE37bJmVbJuL2LWlzanFDv/zM3XiYZUdOwSTDU2zDs1ahPBC2v06kw2LEAJrIYol04EiNjGdyKfTS1htK84sVrniwgY/9o/WeO9fBJxYrKNVlF4YmjiuMAglW2YCXnpxm6sv7PLsiTN89K4qdz46ydlWlXqgaPhQ9yy+tngKtHTpfFfXU9wMYI276BIjSCzEiXD+eSIIE5ckcisu9GNLHEeYKGSm0ueNr13jXa9t84qrYiarmiiusdYOckkSRhlzp/dEOSKKJYmRtFstDjxz16b+0PuvOy64KV5bPvun0qvTbH7j5id+QwHe7/eZmWl+2/0PPPq7d9z55WY0aNGsqdS5sKlTYdGJY/Ls0U8sVSXoJYKeChgkHueHVT79UJ17nu1xwxe7/PPv6HD5rg6bJhXNuiYMHUPEcQHyJAO4kRgrsdZJApsHlK6WRSnrMqE6JvBjPBXS7kcstiN+6xMVjp2f4rF9k1jjM1MVbJq1zE4IZpqKmUmPzTOSLTMx2+d6zEyu8oXHDY8+N8nVOwRTDUmjJmnWDPVqiPCGBIFGK/f3rYUkkfSHmv4gIjaCTt/Q6VpW2h7zy01uvrTLTVes8ZEvVqiuKLSMHCCtJk58wkjSH3rMTlZ42UVdXnZxl4dfdZYTi5I/u3OS82s1Ti8H+EpS9wR+JsOkCzxzIs+kCo7JYyuIDMRGMExgEENoLCQxxBFSDdk21efq3e58XH95QrOqieM6ra4jnzjWDtiJIsyliRxZaeM47cAymla3x/mVu2d6A/93L9x77epg0P/UNxKT3zCAP/3MATZv3qw+/Ocfvfi5fQea3U6LRk2ny511Ubtyz3XionadCOLE4huIYqgklpoSDBJJTzugL4dV7ny0ydeeG1APhnz/m1rsnInZva3PzVd20ELRqGkQKcCNwhpXK21tibmxCGlRwnnmlhhkzLPHJI/s19z+UINnTzYI4xoNrZirWqbrlqmadT54UzM9oZmZFGyZjtk212fr3Cr3PDPkD27fxNZJzVwTmnVFsy5o1GKqwZCvHVQMQo1Xd6CyVhDGkopWXLu3z4NPT7rCp37CWttjaS1gYWmKH3vzAqeXlnnwiTk8CYgIAymAPIahpNvXTDUqTDbr3LS3x6uu7vHu1yyy/5Thsw9VeGh/lYNH68RCMxwqepFCCYkQYizwTHMC1hAbizUGTyRM+CEVIm66rsuerQN2zEa85w1Dqr6kUfUYhjVaHT/V2LoE6Ew6OsaOkyw2UkSxSB0cd48STa/f5rFHv9pcWJi/+A1vfodaOHs42bzt4r8/AH/uuefYsWPOv/+Bh3+g0x3+t7PnFqkEmsS4oiWlXLCnE0ssHdB1buGBlwhiZfETCBKoJpZ6IhgkMPA8BolHL6nS6ST8149MYeOIzXMDrtg1YGYi5h239dm1KSSKRKq3JZSYG5FlRQ1CCj5+d5WnjtQRWnPibI0zCzUqVcVEIJisW5oVQ7MCjapgoqZoNhRTDc3MJMxOxmyeGbB9U5vErvHxrzbpd+tcssPSrCkaNUmjamhUYjwv5AsPVhj2JN4mkCmYolhSryreeEOfex83dIeSbj+h3dOsdTTzyzUu39PgHa9o89izNU6sNFDSAFGqlz2ixLlJg1DSHWhaXZ9GtUa9OuTyHQNuvHTAqfMtjp9bQ3sJTx7V/NVdNYRSDtzj8wetAQzWWuIwYffmmHfd1me2mXDpbsvmGUhij2HYII5dN1AcaaJEp8B1oI4TWQA7Df4dwGUO6uyeAd1YzaC3jJbRf9v37KO9iZk9f3zw4P5w797L/n4AfGH+NK21pb2nTp5631NPPiqrFQcwV/Bj0YklkdYBOw9kBEnK7nFaGOQZF9wECcTGUkuE82eNYJhIhkYSGo/IwGK3yV1PGSwJf/NQhBCJO0nWkCHbZUZFXpEohEQqRRxppNF4WtIIYM+cpe4ZaoGhFkAtENSrkkZV0axpJhqSqSbMTMTMTQ3ZNtchYZXf+usK9z29iYtmYKqWsndN0qjG1Koh9VqfarVGoCRKphocJweiyGPQF/SHCZ2hojswdPrGtczVfU4vTPDyK4b81DsX+M2/0pxcCxDCYG2ESWyqcSWDoStjbfQ19YpPrVqhFtSoBBGNashLLwnxvYjrL4l5z2t7aBWnSSCDEHZUlKeSzhiJEJLAU4DPYKhZXtFp3U4W8zgwJ3EW/zgJkqTyoyxFclDnP6MEcCeJ7NDywIOPyMs68n1zm3tfDcPhM98IbP6/BvhjD/w1U1NUDx85+PYzJ46K6UnfJQ5ilzlUqf2UJBZl3KOWjrGTTLqY1LPO7KpUB8bZe6b4vdi6n4VGEltJYjSRCUhS26t8y7OUArQQLlOpoFK1VLSlohICDwINFd9SDQRVX1KrSmoV7QBeF0w2DNPNmJnJIZumu2zbtMwf3G748J2b2TmpmG0YmnVFo6ao16BWTWhUI84tG46cC6j4biWDrNJPMAg1e7YYtswOaA98+gObsrhkraNpVCs0apO857XnOXpunj/81Ha01FgMiUmIjXWOUqjoh64oqleR1AaaauBRDRJaHRdj+F6CpxM8L0FL1yghZZJnjYWwpSI3kYJc0DJplaVJ45o0vkmMi3WyoD5OJLFxwX2ur1PmXs/YpPfidZQmnAZDwX33Py527Gq9ffuOC468/08+1v/h73/niwvw5XbgL66s/Fx7deHnhB3IekUyiJwFF8cilSLGATyxJCmwdZZNM06Tm5S9k9SySkrWVVKyspw7kiZuLJi0dtyMVCG6m8vkucBKS4OWpDXk4CmBp63zjbWgEkgqvqQaKKoVRaMqadQsE/WEyUbMdHPI7FSPXZuXeejgkI/cvY2pSsDmhqFZEw7cVUm9YqhXYhq1IQ8dgCf317h4zqa6t0ib94eK6y+1XLKrz8PPTOb11d2+TkHuUatUqVYm+c5XrvDkwfM8uG8LWIUxiVsdY0sc2byepD/U1AaWakVR8Q2B7xH4CYE2LmGmXYmxUsZtwSJdaQRpmURGC0Vw7kqITeZImcx+lZjUqcpKjd25dI/rnmfklK/a2SNpUs6VVISRpdPrSc7M/8fNc5P+ts3NXwXCFw3g/X5fDoeDX/r8Z/7iX52fX/Cl1Pie+5kSgkg6FlaxIFEWlRgH3IzVFWiTJRtECmqRA9zk4M6sLItJM3FZssJaW5qDMrriZqnqLKGjZJqxVODlRVsu+xf4ikqgqAaCWlXQqFqatYSJesxkY8jMRJ9tc6s8eKDPL/3JZk6enuTCWcNkDZpVRb2qqFegXkmoViJ8b0BrYFFS4SmLlMUny4ARxT7NakQvNvSGbn+e3iCh05O0qopaJ6ASNLhgS8Sv/ECLX/yg5IF9m7Eo1xiSGOIkJowNYaQYhIp+IKkOFRVfEviWwFcE2uB5zu/XyjqAq7SQLZUprhZo9GbSOMZYgTUZ0LP8QpFncIxOnntIUtlRgL0oDciSb5n54B4NcexqXQSC8wvn/HPzk//2W9/8eq/f7/1CtVr7O6fz/84AHw7aWBv+6uF99/50Z+1ExdMKYy2eE74ICTIhBXcK9MSB2CS2ALop7q4gyOagzlnagDWWJD/gpCyTy+0S/2Qp+KLcVgnSenJnl2W15J6WBL7E9xSVwI1kqAaWesXQqCU0axETjZDpZp9tc2s8uL/HL/7xLAdOTrN72jksjaqkXpOOvauWWiWhVomIkpAPfbGBVApPWpQobEJjs+Xb43tev8odj4Z0woBeCvBuX9HpKlqBpuIHBF6TS3fG/KcfWuY//LHg/mc2Y6wkMS6tHsWu0GwYGoYVV+4aBIKKJwh8l9n0tc0ztloZpHK2rRTWNUpkAC9SninIU6fFFGA3OcDJpw4kichX2Oz9OAN9CdgFwG26CrlSgTg2ROl7Qkqe23+scvvn7/qXb3nT68Tqavvnp6b+btOz/s4AX106jLXmpqWzD1Wr/oBYKaIkbZ1KM2dKukyamyvigJ7kjF16zBk7fW0doB1zZ4/C1VGUwb3B58rryLM6k7yeXKR15FndicTzpKvf8AWVwM08qQUJ9aoDd7MeMtnsMzfZ4qH9PX7pA9M8e2KWHVOCmXpJmlQ09YqrX6lWYqpBiOcNObM8hacESprUliuCzCRx3vDWKZc8aUcV+kPrmggGCZ2BpNpTVHwP36vg6Qku2xHzn35wkX/3R/Dgc5tIjHQATyxRnKRMbhgGhkooGfgql2CeB54mbfWTLheQJt/cObN5YdZY3InNZIvJym8z4nFgzuKKfLXNV+FxYJfOdVYDk0qtJLFEicmZvdUZcMdXHqnu2nXBTVL+3Xec+DsBfPX0X9KcOF977KF7fGFWqFVcDbEUxV0J5xwoCYl0dRHZUpWogqkzkOdALsuQ7HkOavuC4IYiJZ1VCbo2N5GmrYt6cidPoOJB4BuqFUs1cPq5Vo1o1kIm631mp1o8emjAf3j/FE+fmGPbpGKubpioChoVSa2iqFUF1Yq7OFyqP+TBfYLuwKeiSC8yp8GzJoTECKJYU68obr6yw0PPNulFTqb0hwm9vqITKAJf4Xt+qp8nuXyn4dd/5Dw/+/tw/75NREYSGZM2Sxc9mENfEvjGsXdam+KlF7e7k8qUQsbJNMu7EcgpxTnZOSgDPVtpRyUlea2LMRus2qlV7C4A42IK4wyKMIYz82u87wOf9l//bW+t/cYffL73sz/6pv/1AD9z+iTDys7JtVN/+j+l6LxSihhPe1hrEELmroWzolylXlbVp4zAqKJcMzFgtGN1m17ZNmPtEqCzKsBca+OelGUJIu0CklkPp8jBrWR2Ql3FoKfB93CdQH5aYBUkVFN50agOmWj0mWq0eeLwkP/w/imePL6JLZOauZphogr1iqBeVdSqilrO3gmVIKZRG3DPkz5rrQpTU0WaPAOLSfVplCg2zShe+5Iu9zxiXBdNaEogl1Q8ScXTeNpH6ypSGi7fafm1HznPz/6+5f4Dm4iMJkorAF3Zq2PyIJJ5daGvJVqnRVhSoLTIV9js82UXYSZVRFaVRpEQysglY/SMfMwI4CmtxmkslZRW6BzgWe+ozTESp8VdsYFBmLDUGrzy3Mmjf/QLP/XtP/7dbz6xtmvX7v+1AF9dmUeqlZ89cXDxu+ygg/Y8lLR42oJwIE/SpU9J6b5ACnSTfylBorMDUSxpeVBjSuB+PuZOkZ5l5HLtLbMKukJ3ZxWDWuHqM7TF81xjccU3VPyEaiWmVomoV4Y0agOmJ1o8dnDIz/3+LE8c3cymSY9NtYSJmk3BnbJ3RVINHPtXgphaEBKbIZ0wQCiJlzF4rsFTzWrSArHIo+4PXLlAWGEqA/kgoec7Bg98iac1ns42oLVcdYHlvT++wM/8nuH+/ZuJjGaYCMLEpCwuqESGwLP4nutd1WncoZU7H0rK9Phk0lKUVkB3VPMLsxzrWMZiIZufM5O/dlLTJNmKnJkGxWMuWdJcSDn4dElCwaC9RHv+2Hc99tiTR4Zh9O/+lzL42vJpJqa37777jg9c3Wufo+J5YEEpU8gCAbHM2NMQG4FSNreVElUKHhPSqDxbtguWyMA+Xk9SWN22YO1yUFnq49QyrRiUrgnAUw7YvrZ59WDFS1LdHFGtDJlq9piod3hwX8zP/8Esjx/dzNyEZq6aMFGxNFJwVyvOTszAXQ0SKn5Msx6y77jl7sfq+FLiKZMGccWiny3fUaKIjebVL424+MIuR05WmauRdqe7HsjeIGVhrdDaS2Wf866v3A2//qNL/LvfN3z12TkGUZVhIgljSy2t4Q48HMh1tnqZvLdVqiRf4ZQUJYCLEshLy+Q6kNsC4CNgz8ipVIdvbCFbTMHqI5ZwzuiO5AACX3H8xBm+eNfDV//rf/4ju48dPX1iz4U7vvEAt+YEiPoFa+fv/u+T1bPfFlfX0ErmJaDG2LQD3l15cRpUqhKwTWoDmswx0YVuGwd1OZhcxyBkbckbgFtYpMpswWJAkJcyt69dh1DgGQI/puLHVIKQWmXI9ESP1U6Pe5+BX//zLTx1eJbZFNyTVUujKqhXRO6VO+fFOPb2HcCrwZAwSRj0K1SUu8ikKC39ZNlCkQaa2ml5PWSYtoAVADf4foLvaTxPopVCSS8HOAKu2SP49R9f5b/+Rcz9+2c422oyqEsmE0sjtlTSiQOBZ1PvP3NSbM7emVTJAJ5/3vRDi/yYF8ffpielWFltLllMGfimwIcxjLD6uiC0lPvI/r84EZyc71M9svJtH7n9weSGG679lw89u3D8xis3f2MBPn/mIMj6jfQefntDP4ydmiSOVZrlcidLynTZkQKpXGbLqLJfKkqRd/Y8OzAugTOi9dax9qgqzE6Ca1LO2NumF5lNqwYdc7sufJOOmUhycAd+Cu7pLourfX7tQzU+9cAcS90p5iYkc5UU3BWnu2tpYFkNJLXApgzutHclCIGQrzzhsxr5zASM1GMjRleoJHHND81Ac9t1PR48ENKJAiYiwzB0w3r8oatV97UDuFYWJT2EdAkaLFy2U/Kb/7zNZx/s86sf2MzppSn6k5pJX9CIDbUYgsiNXvaVG2jkZYGmFHkQnD2WA/XyhSlE3isyIlWyTiFbZvH8e46BvBSMlnMdo/fUhUkZP0wUn777CPWZubdv36Y/tNbuH/+GMvj55T5z05VL/uLTd/2LU4ce5TtfNWBSVugNXNFPkkgS6dLpibQkRrq0vEyzXmMALyJvUUralCQJIrWkxgFuC0ZJH6UwxXgJkSYvUmmipQO2Vg7cnk7wvQTfi6n4EYEf0aj20brHPU8m/NHnmtx+3yZC02RTUzBbcbLEWYCZT67Su0iZu8zeEVoP+dpzk/RCzdaaTTOG4wyexR2SKFZUPMVNl/eJjQN4PxIMMjckdCPXPJ1ZnCoFos0HI1kEs5OC73pNl0Zwlg98rs+9z80wH1XpVSTN2FLX1oFcp3GIsmlcYlOQp8SQ5TBKVmt2rMuSxeb/GQN4maAyQJdW5MSMsfkGwM6y17FxNelroSLUIZsqdzObPIA2lr/t7esCvLV6gru/ejfTk5PbWucPvaquV6lVLMNhROKDjC2JlMRSkqRBZWKMA7YURQLHFgkAm2bDCimSjmrLH8uSZDS/5sBtR2SJEDb3czNZotLJVxlze8rVYgRehO9HVLyQWm2A7/f48zs1v/GnmziyOI0XVNjSEEwHCc3AUg+gnnbYVwOX7aykCSFXv5KkK4GTJ0vthG7o4yuFL20eYGZfw1KUF2T1GmHsUfUGbJnss9Zr0I9EOpbBxQqel6Q2n0rtTuUAPhK4usrHb3tFl+uvWOTX/2zAh78wx0pcpxd41D1JU7sanECDr8ibIXSW9ElXPplLlSIBlNr4mTDM0Z0z+RijlyVmLlsy+9AWBkNS8tNjm8oV65JEYVqX3o2hn0j2He/w5MGLf3Fi8rp9f/6hG5++4ZY3s/fiXf9vGTzhDa+7/oLz8/v+QHSeYMu058aqSXfQhbDEUiGFStk7TbcnFiOFSymbIvuVp33Tk2ztKNAdsEulriPgLhhcpNm3Qne7tLNjcFNi7iQFeYyvnSQJ/CGB1+f4QswffrbOJ786w9GFKZo1j+kKTAUJjcCmqfcM3DIFt8yTQpVUewe+u3Ca9SGf+Jrm0IkqlXS8XN4uRoFyW1rBkkQSxZrLdsNbru/wR5+foVvTNNMRDUGYxg3KoLV07oeiBHKvRKtuVdg1K/n57+5x9Z7T/P7t0xydn2AlrtLzNHUlqKVA96V1F07qMqkSSWTBuhCuzDeTK+4rlBq3x0Bux2Sm2eAxd85syS83KbDz1jnB0AgGBkILiQ343CNbWFntXv3TPzT3sdfc9PI3ra51vq5UeUGAR1EfrSt0l+/Z4ScPXbR99iQV3y07SiagMpBZEmGIjUQmyvndUrohmrlEyUAt0it5tOPGHZRRYGcNC0KUDqgogJ397XxAkDSpa5Kxd4KnY9e5o2OCYIivh3SSkPd9zOcDn93CmeVJjKoyPaGY9i0TvqGWMnctT9/LtE4llSapd56D23fZy2EUcuh0QDcMmApSF6fkLmWJnnKyJ04kUaRp1jV7doSoYEAnbND3BdXIMswArpM0UaOcjy2zEuCNglfF3ESPH/u2Hm9/9Twf+GybP/z4DEv9On1doaIVNS2oKksQW8fm0kkVLYvyhmxVXMfkpXORXbD5OSuBez3Qi8K4EYliCwaPjQN5aARDA30jiNLyj07kce+zLXZ/5dmLQqF3vO31NxyPogGeV/m7Afzg8UWCYHLu/PnKx/Y/8WXvddf2qFaywDKd322yYT0SaSRGpvLEZAB3IC+6bDK9bXJZUgb3+pKfLLQs+ikzYAtR1t1plZxKUgZ3Yyd8L6Lih/heSGsQ8rWnJH9+Z5OPf3WGQdLA931mfMGkb6j7llrgGqQzcFcCSRBIglSauMRQ6kykAPc9l/k8ds5y76NuTEJQt+sCzOxWpLndsQkjhedpXnt9h498qcuB03X6FTfvZehZ/Bi8yOCFBqXcnEYnI2Qx3IcCQIlx5au1QLN5ss/PfGePy3cN+fCdDR7ZN8Fiv85A+XiepqIFVQmBTG3UzF6VNs1Kl/X4aFFWDvYxhyvPdqZvjrA4pKUYBbATm/aDZrrbwjAFeJQXI8UYm9CsDRm0vuC97NIrPwbLLzFha/HvzOAXbZuWdz18+Mb/8eEHJu68f5a3vMzwn39ijQu3KvoD333ZxKYzu127mDESlbG2HX3MQZw1A5fAneu4cYBbQFgk7lHkKWWTl3u6CVgWrRIHcJXkckTriFY34r5nBH/y+SZ3PjbBSquBrFZoVBWTnqXpG2qepeZbqj4pazvmrgaSiq+o+IKKT1qhZ1JwGwLP6W+lhxw8DWdaFZdYSfXtaOIkJ/C0DzItOTWSMNRsbgou2dnn6ZMxvchzYxoi8EPS6V5JKlGyRA3Isc6cPIBPna0ocfXh73ptnzfcsMqXH+/wwS80eWRfk+VOjZb06foaXwl8KQjShnAtLVrYlMnT2iKRlv2OA5z1p4wyg0OxcqcAz0qdk2wlsxBZx9yhcc+tMWBisBEMQi7c0eU//8QSr7ka5PBzE2vnvRu92lWf5wWGB70wgx87G/gy/r2ls6fqJmny+Qdjrruiz795dy/f7UsJQ2IU0ihUGlxaK/OJrQ7YRY+kTQdsmtIk2RcqnMoZXGTAtkVQKQ0q7U5RMkHJBD9zM2TEYifmnkc1n7uvwafuneB8u46oVPAaHk0NE57r5Kl6pLIDqr5I7zItOU11ty8IMvbOAK5jfD+m4odYG/GVxwJOnKsyOy3wpMnnmUsxdtla8vLTJJUU/aHH7s2C117X45MPhHQjj34kqHgWP3YsPoxsaZVSuV+NkCMyxd1lvtK6rKmmGgx512v6fMv1y/zNVzt89r4a9zzV4HyrRl/49H2N9hRaCDwp8KTEEzaVWhaJSCWXHf1O40AvnU83UaskTygCzcQ6YGfSJLIQW5cUcjZaDCaCOMITQ979mlXedEPMcDDFmTNL9W01+XuGM5cD/b8bwA/uZ3Wtx7DXBSnptDVffaTKe97QZ8/myH14kYLbOrtQ2aLp1121Yx3uiNJJSMWHFSMAz1/l9lQJ2MKkzcMGkQJc6wRfR1QqEYNhwoEzcPys4qNfnODzjzQ5v1oHr4JuetSUpOFZGtpQ9SxVDyqeA3fFczMJXZmpLN1F+nObgtzkIPc915525Kzh6WMBeF66zNtSin40LZgxW15mmriG3GHkcdWeIVfs6LL/TI1+RVCLBUFkGSpSa8+k7J25KZkFWWiV3GfPmhOMSqcPeAxCj2p1yPe9cchbb17jjke7/OWXahw/W2H/mRrhWkAcaAZaI5V06XzSv0daepzJQ7IA2o6yeUmyjIK7FFjigJ05LC45ZMEm7m5iB3AbQxizY+uAV9wwoFkVRANFpx1y+PARpKq/EISfH+CLi2dFOBz8izs++5HZN906RD3V4cHHEpd2DSyiGuPFhsRojFEYo5AyBXPG3lblFlYBaJE2BBeOSXalF4yQae7s4KV3mcoh4Rg7CNwk1ThJmF+GL96lOXK6yt0PVTmzWuXI2ToEAaqmqWhFXVvq2jgXwXOD8yueG9fmQJzdZXpXKcBJNXcKbi8h8Bx7uwsr5Ngi7Dtew5Oj9mAuUSjqwXM9mtunrqcxjj2u2N3nkk09njka04s9GpFgqMFPZwKqEsClFAgpR5gcGAnkchmU9k263kmPoefTrIZ8z+uHvOLqNmdW23zlYZ+jpwLueKzG2eUKSd/DSE3kK5AqDZadtZI7K+XH9RgvJNl4UogM0OllkPfTJq6GIwO6jWFokKGrYZc65ukTA778sECqg7Pv+e7v/BenTp1+786dOzY0x58X4Asn7sba5Lt2zZ2u33Bpi3e8bp6HD1mePuTxpfsr2OuGXLAjJrAhSZQFkY7FrR0FuEvclAFODvQNb3nEno1SNvldqQQvSIgSy9FTgqePKr74UI1njvk8d6xKexgwDAPwfFTTI1CCmoKaNlRLPnCgszqNrGzW1YUHqSzxfYXvy/QCsIX29hKXWfSczq/4EdaELKxIhjZw02+lRZdstvG6juy8Zi5T1uMYxh4Czdx0iFQDupFHTwvndERFwZhWZiQDKUUJXll8g8hX0izTnPVQeonKx0/0hj5bpkJ2bY546YVD+mGf7z/W4pnjPl98sMLTxyocPRkQxRobKBKpQLicR17dNpLMHz+XjKWkbenRFODGZJ0tKcANRAkaw+49Mbe9dMi+wz5/9TmP+w9M0ulqLpqbrzdnHvgurdV7/x8xeLT8UYaDrjpzap/YuXmRqUaPmdmYrbtCHnjU59+/d5IrL4+48tKQ198w5LZrQ8DVeFRr2XeQYARJnDI6xZyS4vloaszZgY6p8+pEaYlCS2/glsHjpyV/cWdAL1I88VyFw6cClro+w8QH7YPyUE2FLwVVBTVlqSjcODOVFh4px9q+J1zSowxuT+KnsiTwIfBJXROXMve0wffiNCMaUa2EnF9N+OL9DVqdgKkJgZYmLxnIcDB+y8tNcy0uGQ4VszOKN9w84I5H+pxs1el70skUDV5s8aLMs049dpk4u5DyrBOZ/w1jdelvOKD7iSLRithTRIkmijxnpXoRdT/iFVfF3HT5kLe9asDBU5In93n0Q8WHv1jj2LwHQtLra5JQ5W1TVlNkg8rnNQd4JsyzFLU7ACK2CGOw6etqLcGrGASG264Lef31Q664NOTqK2I+9eUKn/5KjbOdCv6EIEws3gNHxUuuvUL9p9//QvwLP/bGvyXAE5C69r7ZiZPXSHseLwhZGcT86Sfr/OXdNdp9zeKTHl97qsbHvhgzN51greW6vRHvet0g7bmEuQnDtVdF1CsubUvK3mKjKx2RD+dp9QRPPuWx3JZUK/DQPo/PfLXCIFIMIsW5eR8jNJH1MMIDrRGBRkuJrwQVaamkwA6UJVDW1YDr1PPVBXP7WV9mDm6V9miKnL19z+D7WYFWkrO370coFXLX44pPPtBA+drZbSP6+/kZPO+ESTLHQzEYeLz1lj6f+lqbD39lgm5coZ7qcC/T4VGWcbR5t5AQMgeY+1OypPVLADdpF7x2TO5pRaw1Ok4c0FWCUm6Q/lQl5pZLY26+NMKKIe94TY9B5Ma5ffqrAQ/v86kGgqW24slnfNo9maqkccGSArrE4tZCvWK49tqI2cnEJQYTy7te1+favRHWwNy0YXrS4AmL1PCuV/XZf9Dj/Z/Q9IawEvkcO9W65rbbau8Twv7Y34rBF5fbVKcbzQ9+7MOXfuWrqH5Xo7WiM6hzzxMV2gMPKgKDYGhhoaVZWHMf/uAJy2fuaroqs8QyMZVw4zURjar78M/fh0OOACkFa13FI0/7tFsSqRVDIxla7ZhJaNxcYA1SI6XEk8KBWVoCafClA4KvwFfFjD4H8mJMstvjR+aNx2VwO4ZPy2q9jMGT0j0m0BHWhpxZ8gmHFYIJiZ+mvVValTeSxcw6eqAUm5Aza2IUYeQx1VDsnA3xxYB+HNCPBVXthmBmNSRZQkvJcnmrzP+W+xuZk2VKQ/BN2mxSGv8QJ2neQKWbe8VEcYKK0hHWKkHKmB2zJl0xDJfvGhDaHlJbWi3BI09r1noSlSuW0aB6lMpcSW29AjddEzIxZbCx+0lNuWOXja+wiXKOSwTNwPAz393m1quHdIYOup6eVpddfsWlL73++5v/+ntbbe2NzjVcB/Bz80ssL6++91NfWnzNp+6aIE6qYEKwhkQJ8DdYhtKzFmNpZcuRtLTX4NxddvRrltNeZe2YjZ9CYIXAZFsukNacCglCpUGVRAmXYnagTtPOknTj1sw3Lj3qtJNekW69Rw5u19blhusHvsDX5CWmjsFTFtcGP82Oel5EEEScWjL82R110D6eFEWAmcuTDWqrSx5xNiTUgU2RJA7k73lDn7+5p89zCw26iUctdpvSuipAW3TiqCwnUAR7+XHNi55kqcAru5u8FkZrhZe4/IGrF1dp4swlzVzdePpcZPFQghYGYQ2zNcO3vty44UupzHSPovSc9TGXFZBITKxS2AuSWBBnUrb8+8J1/kzULG99hQEbYROPTq9P3558Tbd16r3Wxv/06zL4X3/qTpSU/tr5s0w0PJZCH5P4zrbJiiWf1+Evs7R7nnjln41ex6MgLwBOvtxKhHSz9CSutNMT4EuLL5wU0BLn1SrSmor0eVZIpCnNQclYu+iqLwAuc9kS+DZvafN9UxqcE+Ol7O3rCClDTswLFtsVhNYEkhF5IsXoNVzK1I9UUJb1sRta6THTHLJ7S5/980P6iWaQQJAIvMTixakOj7N0uil6KYUqnR+Ry103adfmBW+FNDLoxJAoidKuiVlLlRarJUhl0pXC3TNr1v1Nm07Ici6HyGas5NnOzD60GzoshZ0owEpcVXnps49zYV49CcYoothjrV2j1V9lsf0lt3vv1wN40juLlYJmtZ+mmCVI30mCkWF/JZDmtDQO4ueTJOMFDSL/5xwLiXSJTzeHEqCFTZMONq/xyJ7n742BPBsRoZXbXErrYh6KA7d0j34G9Cz4TMGddf9ok0sUTzt96vsRMRGf/VqVhcUq3oTCL9dwlB2UsSNFSYOPjmFwSZ/B0E2wffOtXb721IB2XKGnNdXYEKbp9HJBVFZwJoSh6BzKAs2imM1Zh+lMFUs65UCgjSBWAp3IfP9RrQxxCvQimWbyBJvMQC4LpytzvbKU/nqAWzYMvzJ37W91cySblYAAHD8Xsdo9uyHeRgDeP/9ptFd7+ZmjX7m+8eVF7t5XwyS1VBQpyknhFwgjvu6tfNJdTXfxqAQoUpste53abtlz95iVxpKCnHwUQhnY+RwUxcgubSMAzwLOTHfrTJbYVG+P1pL7XoTvhcy3DI8droL20ak80aUCpex7ibGD5VykououG4uRZx0TRRR5XHfxkJnJPq3VGr1YUVPgxe67qHRSmIrKAMeBPP9DsqivzxJtxhYlFMpVenpGkChJopwMjZVMrciieC0rh8iArZTNWTwfbFpKyIkyuEcex9Ei/nbAGV8JRDrbPWhz52M1js9fcP0/fuutL/+/3v+l+/4/P/y6jQF+5EwXKaNvXVhYuvbsyiJJshNwDOqAV6oqe6HPUVqSN/p5BnBZeq0YBUY2ci27Z8CWktxjzt7TeYtaAWwlnSxRefdKAeys+daxd6q5NbnezixBx9gFuL28OjFCEHH7VwO+9kwDGWh8Kdz87byCsFyvXq6jLk5vPhqtVJSWGDfgsj/wuPnKPm95RYc/vL1BmAR0E0klcVtm5xe1KMkUKVMWL/+p52NyMFrm9foZuBMlUco4RpcyHS1RgNvJk3QXvLRkoih+G32e5zNKzF2uDN0QO8+H9hxTxYWspNu4YLp5hlhsvnZuYvlbJyrRfeX/LQf4UwfPMDXZfMPv/vlnv/vjnw5Zam2ja2tUPWe7aTEKzoKLnufzjNVf5BKE0j194lK+o+nfohy2GL1WZnS3BQk5m+usg1655yMsnnbDeGoU3G6cwhhzpz2bftre5ums4SAu3SNCIv7yK00SG6Dy7GU5wCz6GjNnY0SDZyyetetl8/6SLNjUCDzedVuPD312yJqJ6CcV+onAi8lZXEqLjEVedObswnEtKkvWZLlkVZDotANepSDXFmWcXEmUG56qpEzBLYv9S5OMzUtbP2ariHwBFh9jvheSLiNvZdltyLW/RaBVhR9+S5+EZ5ndtve7p7a88+539o/d4VX3jAJ8GEb0B4OLl1biiw6e1DTrNSY8F9DJtJpvQ9CWgDtyAWY6zBYgLv/uCJOLohRW4mS/KjFgVsmWORNSFIydzRx0bWoi1+LZaISRYTcpsLUShZOS24Gu4941JtuUuYsAU5fYO/BCHjssOXS2glUeSkp8aVIZVV55ii+7rlZjRIOXW/hE7qhEscdF2yKuuLDLAwerRMqnHwsqErzEomOBElmjh0DGqQ5H4ozc8p8UJRYXJWmUtY1l7oqrd0mUA7oSNpUpsqS/s78pR7qpRFpgVoA7a1Ap6/Lx8M3mJRllDh8Jk8ekTV62G2uU9Ah0BUEfkQwvSpLBxSaJ7ljH4K2VFUzYp0GPi2Ys2nOByEYrRpmNN7zixq7QEfYuXcnlGg1ZAnQG+mxuXnkURCZTlBCuez4De9rpkjO5LMa0Fdt/p8xdGv7juu3JgZ1nK3PmTvC1S+y4rqAIS8RffaXG8nIVEWjnu5dWlnU1KOWDUbIIs37Uch137k0bRRRpZqcl73xth8cONxkmFXrKp5o4LZ6VsypJCu5srUiHMOXlTo7FGdPjrgk4u8DKvZGup1anK4QytpRYkgVzlybUysyHLzWjlOv3oVRLngO6wEMZMBtK2xeQNm0jiKIKE0JCdZUkLooLc4B//OOfQinJ/Pk1tk0JNwYsSYvTS7Xbo0BeX8G9kQYvjwMrg3r986J+WpasttHnxTQmOcbe5QmyjsUlSo8C3NfpACAv2zowzXBqi5en4k36PBm5a+U6d547AR+7s8FQ+iip0uzl6IU4nsF8voA8Z/GSm2JSBo8TTZBo3vn6AX/y+R5PHa0SKY+elPiJSd0jgUxs6ZhZhBS5i+FuJv1bo11UZSZPjNucIJt0oNPpv0o6mSJz7z1thJAFc2esnjWglBsjyiBfB/D0gt84CC2veuvBbfMkmQvKewPJ/NpJDh37lCvSKgN8efEc07Nbar/7vt/f02mt0KgKekOn7bIZFbZc5Lvu8hrXS6PlN+WG1cIOHAX0SEA2EmymczpKOrw8DlmWGDuXKaU5hCpj8DTJMwLuLH3vZY3JJt0uPAN31tMZp/cI5YUcOqPphD4oncoTO1Yeu/7iHXFRyqQx7oWn3ThF4kdT9wSXbh/w1KGQxAT0jU8lcTXbOtXgSrgZ2y6xlMVGhkIcmvyMFMVwrh5G54NN3XvKQCId4FW6O4U0xYQANQLuAvAFwF1jSnF+N2DwdS1wJYALd5CeL92CzXZtdjFLGCk6PUWrJ2jOzO15+zt+sHb69A/0duzY5gC+tLhAr9d+/QU753720SeecTo1diWNIgEjS5Olxtl6gytuVMIUH7S8w1cuTXDnoLykl0E9wuCZNJFlJk/HtGU10qoE6vx5muRRpF64A7cDcDEUyCvLkzJ7q7Sv0w9Z6Rj+x183WO5XEIHn5Im0I6tKMTjn+d2mHOi4sllbmhVjjMxT93GsadY0P/ntHb78WJPloU8oNX0p8dMeymzkQ24XpnU9pG5DVkZrMSm4DRY55qyIlMFtPssxA7uSImVwJ4mScYBn4JYWSdF1lcVeYgNWZwQLdpQUU4CvD0bLK59IRzRnQ/glrXbI1Japn33m2f33hcPB3+QMfub0fmrVgLPnTrHWjghj5bLtwllRJi2OeR7yHgX7+AdljM1GGHwj5hYjEiX7eQbkrEMmB7YUSFWMH1MlUGsp0akk0TnAM81t8qDS0yYHt6ez+otR9vZUhO+HfPQrHs8eqYL0kFISyMKzH7c2sy/4vNWEJTbPd6ooyZTYuJazOPa46qIe3/aKNn/y+QpGB/SlTyBFnvRRUhCJbATyeiYXZSYf6YMtamKMAmXdqmCscODOLFjjpgSPsHjqmOTfW5b1d+amuLKv4twXQWWxso8CfCNy3Oj4ZdIO4UoqapUBp06fZKmlsInbGEIDtIchaMGx5Yh95xJma2nRDKmeLIe15Q9Rej/rGB/X22wEbtKDn4E5A3quXVPbK5MmOWuDkCIfaL8xwGUBcFWqodZpXYpHLkU8VbglXmk4UKG5HXt72k2tWm0ZPn1Xg6VWAJXUPRGZPfj8EgUxVj9ZKstZZ9vlkwjSPXEStzvwVFPxj17T41NfG7DcDQiVpp/I1J4UqXsjCrtVjvvKjr2zt0zO5kXHu86cFZU+l+lridPjogB5IjMdnp2rTPtTvBaiJFvKF964RCmB3TIC8NyBeoFkkJKWoBozuXuNnmgRihDBwAH8wccPsW3zzAWfvOP+n/rMPfMMQk0crK+l2OhKGg+gxhkbxCjIKZ38dYMzRZEgkSAphkGWmTsbiVye/V3ucHHD3RkFd7azQcbcqsTc6xg8GzdRjJzQymUujx0XHDxRwRAgpM6bc4vqwdGJUCOdLqKAW8bcBZOLkjwRuZORt5slGqzmst0hF20dsLy/ik18x+KJkym65OIUACoXemUNBjL/DE4XiVLwSTrLxgF7JLZJgS4l6fTgUkwkyr5/AXpR+iwyRW4GePLzb/PyglGJa7MCDsoj40axV0gjrRImmpZttcNMbLnipyY3f+sTndV9x7WwCcNBf4uy9g3d5TWmm8HIOLQRLbnuChMvLEmyXxn7nXE5UgZ6Nvp4ZJxvzuKjwM4fFeko4LIPXr6nW1qrMrhLIE/3q/fS0tCMvVX6WusIpSI++0CDQ0tV8At54pWsy/J3y2KJFxLho0NGi7a+bN5jWYuHoebC2ZA339zj4edqYDzixGlxL0mHfCajUilfJUcmCqYgt7YkUUpyRabPZbqqyOzuBqhKY3PQJ6WdPKSxecwkTHZubek825GLreycjUtXd8mPYqvIipbwl65Y4La36Q9qhMMe1RnvDVE42BLH9rhO1Ri+hsmqpeabvL4jlwWIsavr+TV3Waqs1+CjwVfO5CWtnZV9yhLYx3dryHW4ylyU0jD3DNQSVLZXuyr2pxkBti4GBOUj3rRJQR47eaIiqrWQBw4o/uauOv2BDzWNlgJPjEqT8QBz1PvfAOCM6e8xy7Dsi0exZqKhedurB3z+az0eOuBj6x79JMAT5BeaKksAkTkYGbgLkJdz0C74TC8w5dg8kU6PZwBPZBFwutc2Pz/587HYKZOamUzLWZ3yZ8xYumwhFuAuEj3l4fyFvLHSdTBFMVjrYU3AbCzzyba6P4zwBxFhlKCUG864fsooG1w9oydP5P9ZD+ZRkDPyJcu6uwg4C2CrdPkrS5Ts7gCeJndkKSBSjAyX1LoYoazTTZi0GgW6l7O1u6vUOfH9kChM+Pz9NZ47WQPPQ0iFL8g3lyoHl0JucMxGZBulakKRNt8WDcjFBDCZa/HMLgxDzeW7Yt54a5cnj1cZxj6J9OgbhZ8w9lkyL5wxBnePduRzACq72AxGCVQ2w0YKrAJZqmHJYx8J0lqEyWa0uOfFeSwNHs0Cb9iA5DLJakcwRAknjDC9KJjfuJgg28BMCYkgBhuCDdEf+NDtaK1otdo0axrfEyPFQmIMnCNBJYzopI0CS8pgH/tC2RIuxwCeM7cUJWZwmryQJiWrMGPsHOAlcKvR+eCOsW3O1Dp/LJ57aXCpVUTghzxzQnDH12r0+j7UPaTIKgcp2YMbZDFLsUbptOW1KA5hYmT08LqET6kAK4w8Go2QN94y5FP3DHjyaADaZ2gkgyR1VAyoJNO96WdIUtYTwmXucrCPXnBaUUgX6dg8W1UyzW1lCnZTrFhSWqfPS9ZuDnJT1uFiY3CPgNmOYGgUa2XJW/xuYtzqkCQWJQPOnniUlfMHMCZBx4NlEiGQJmKiJtdn30bYW2zI4uuTOGLswzx/YLkRaxdavCxRRJ6el6LIZpZZ2023ygDv2Frl88HHwJ3evVL9s7MHY3dPu3Zim3D7fVXufaYKFQ3SNTR7WZq8DGrG7uUXG0mUEoPmtl3WWJ46KvkYvBTow4HHq67q8eaX93j2RIU49rBC0RcaLyH/TCIpad+RS2s9k5fHOShVWIbGmvS1QBrhdHjZ78/Y3IpUd2esPRZDjZzzUhA8joeNlMG4zBshXZHLlQybxkr6UYRSbay16C0zHlIK+n3Lcj5SbYPehrE/WpYi635nXHNvIE3EugNQBrgo2CEDuiqYvUjTl+6qAHe2q0N+18UmqBmgvRKoM+fEOSbuUakI34t44rjkY19pAD5IDyEUXp7csXlx1aifny2rIl/lRgFGUZPCWNFVuYQ2ca17bgqtytP31mredVufL94/4JEjbpJAZBS9ROR181KQpvBFvl6UVGT+Way1Tp6MAN2VRpfZXEqJKtmZOchLbJ4TUxqDycTmkm2EvcccntGAUxSfs/Q+5YthBI/FkTVWEEWWxHogPLA2nSVu3O/5nsinftpMpJWW1/GrrHyFjeqlDZbo9EtCSXcj8k2jCtlSAviI7i7cihFwq2w3h6wePK1+ywfgF+AeYe3SY9ZYm0kVpWI8LyZKYu5+qMrTh6vgeSBdcOkLW5ocW2Lw54tbNoCWLT3JS2dLNSIj1YWJxKjUUUk0w9DjyosGvOpGx+L9xLH4UPgMDOgkC+jSOhUKPT6a1CgSeOusSwtSlZ5b46SKdRLWWgfkjMVFLlnI2VwKQZq0TH3yDUguB/bGZCnG7MJxks2Pqcm2ZnSfOxtKqjPGVNJtMZcY9wGzTT+Lf+h5otwROZJ5ncXVBpldVmjufJxw9v/n+q0kT3KQj9aflKsKc2BnrC2zyU9l/V0Cd2kofu6elO3ATJ4oVzV46Jzgg59vMIw8qHmpPCFvTctKeEcsMFFilheSKHYU6GWZYsq7CtuNtLimHki+9409br+3zoEz7uJLjKKXKFdlmIh8niDCIpI0MEtGVxKbAb3E4MqmcsW6ANNaZw9mwb2VDujSpNO10qy3NCX9nYHZZjX+oqTHyzKlwJMsk+e6GGbMTsz7g0l7Th3Awxh86SZwWQzqYx/6rc2zU/5/mZ8/c9kwtPkOC2XbztVjy3X+c27ZZc9FKaM44nTI0v9Xeq5kaRywLDKRZVdEQXkrQJWOTPAyrZ0FlNqOOCbZBKgyuD3lyoA9NVpMVTQ0ROljSCJD/uQzNT50xyQEAagKSmlqylJVNh1HQd7g7JVa44pMajkRJSkmwzISoGbfVZYyotlFKyRp42/RC6mkRVjDzi0hZ5Ykjz7tE6dTB0zadJyVD4waBaKMCfd6JEMoSledyNl8tE5jTLePSRuDKN4r3ce3X8+coxH/vzQrPv/9kS1uSr9H9lj6G0YwiAQLy5ZN26/ZcuHem76kDx47MLm4tvimzqBNGAfpbmmj+rnM1uXlIV9WGD2QjCxBYuR3y47JqAde2gZ8rFS28JntiDyRaVApZSFJVEl7q3yPHpsD3VPrJUn5UakIT0ccPCv5yJdruPkrjr2d9i7AmXUY5Z+3fBwoAav8IpclY+Aw5dqQYq6gTQeYJukQU5MoEpVq8UTzna/t8cm7a+w77YEMsUIyTDx6lGSCAJGkIE2yxE8G1hKT2/XBpyoBUpbvInvu3BFjRB54uqFmo/bgaIwyhhdRthDFGJYyZbDB/1dWEOn3rfggWSaJz7xpdTWc1Hc+PODs/JAnngi5ZKsb8p57nCMB03oWGA8mC/CX7aBxMI+COn8+Zi+NNzrIcsWeKO0pUwJ2FlxmIFcZg5dkiUqfK2VQOpUnOkbJ2GlvFZOomM/cV2ffoUJ7CyFdQiXvoGHdCVwff1Dox1F1UnpeNCBTYrbRhI/rfDcZyNMUfhhpLr94yFtf3uXIRwLCRIHQJEIzECJ1VdJuLFKJkjH3yHiPgr2dLy9Q1lmYWJt/xgzcyoIVtqhlEe6cWCvc87SAMTsuGdjXAbwEVrMOuOtBXBgYduT/LeIyy0TdcNWePrsvbFGpeejJwKdf8ZgIZDrCtqjWGwdh9sdGP8A4068H8iijp/8mpchbjgJlFOB2zDnJ+jFtzuLrgD3yuggoM62db3EiDTqdK54Nzve8iKPnFP/3J5oMpAM3Qpe65tMVpFRBN3rSipjkhW6j2yQWXvjIUmzKGjydm6IkyigSo4kTjyCJ+adv7/LXd9c4claDjEBqIuPRFwKVlOy7LNjMP6Ad+UA2lxeljn8rULhjbUuywTkoxmlxYTGpe5I9dzt/iA2BvqEXXnpv1Aocez2GJynytBVaAcLS7Tdo96ZJ5DS6WYN+TTBRc32KWhWaetTh2Ii9x4LNDYE+egWWv/D4VT3C2Bm4RcHg7sIj7fQmHXJZsHgBdlOAOwVyDuoRvzuVJ9K99nRIOzT84aeanDkfgHLyREhZWIPZ5xQlO+55TlTRbvx1gJ4DPms8GN1m0SVbCvbOmyGkIok12+eG/Mi3dfj1D/q0Ijfq2ArJ0ChnGybZubGQCArbcAzk42Wj0hY8b13G0CKwwqaOinXWYXqObFq7kjk4Rlhkyurrz/eYFBkH8TjIN2B3mTK/tO57xIkgjCSriUez45EID525Htl8vmw/xmws74YypeTRlGXIiElfAvWGS9MG2mwczMXel+SsnY+LSO9S2bzoX+XAtiOAzuRILlFUkv5unDK3y1rqIOLjtwf8wV81GRrPyROhkELiC9Y3FW+Qli+OR+nN54G4LamEwios6/Nitno5u5mn8I3bCryiY37sHV0OnvD5wGecFgdFIiQD43o3ZZIRUrkAKztZtvQ3C7vSafB0Vc8ejU1zEiVtnoG7BOjsGFmRuSVu9RjX5iPx3UaAf17Zkv4szd66gNUCEi9NVglh0TaVChVfUgmkKzctpclzRn4e/b1RALrh0jP2fhkg5RLPvKZ6RGuXZYrNO72lLPS3LMmScXAXFmHZFoxLjy5rubIKf/3lGqvDDNwO4J5Mx8NlK4i0G1yURW17hucc1iV8l6P+MoNnVteoPMHN+DYWY8xonbh0UsUYTZxoJvyEt7+uxyfvq7HcUU6qGEWEppcTVSobsmq9kS7bMblSArlMLUNsmpLHWZBWFitODmhbaOp1luEILgqwg8g7gMbBXgY6JRzlWDPub8XSbYOSGEiUzPe619MNjY08piY8KoEmG3VQXmYt4/UBo9WF64KrsaVmo3Rt8eVtAZTsYJQYXKUJgryrW9gxS60AdRFolsCtTCpBil3YdFmPp+zt1WJuv6vCQ09XMZn2lmnPpcjkyfrhRBs5AuuW2ecl8ZQ9cx+8AMxoc3DB5i6FL1G28MXjxEObmJuuCnnLDT3+7LM+qBCExApBaDR9IYr5Mxt9HFsCuXSDmPLAMws+IS3Ccig2Nj0e1smWrMQ2O7c2fTQ2Y/AiATV6vKzLNYqSlCqTa/5YAv6Igij+rWEEGMHSmsZIhZ5qulrI2Uk3uTVD/miLWoFmUX5ngyVlXDuNL0cjLU3jTJ4XLNlReZKxuSqPLyhLFZNnL1WmucvyJNu4SSXpz1JpIp17EngRR05KPnh7g/mO70oqpRv0rgTFjg0byKoRaSIKzb0Re6/DFAV7j3rHozNMRjbQLdWJK5k9uu1PNtcTvu8tXe57OuDIggQRAQqDZCjcXjsyIW2UKdL45fOcySSHAQdaVfa2pZMh7jEtV00fM3AbOSZPbFYYZVM9noK9TJyZbMolXmENkgPbrj+kYjQrbLAMhwkrrQShDXp2KkGRMDNhiRKI4mIgzEaNxuU/UGbxMnONsDWjgN6IwWUZ+HkRfbmpFZfgECXmVnYdixfz9MyI3i47JlrFKJmgU1vQ9yOGieF/frTJvY9VXW+b1GSjmr1cexcWZbHcj8UXpeNQZDRLK90YuEczmEWVYdlRybzwokZFpvO+sw12FUliiKVGxZpXvTTkR9/V5pf+p88wli4DZSSx8OjjCtYEGeGsryy0pddZ26LF5uWzpCDPS2lz7e0MCSstInUYzdi5zkkgHdhpyuZDlpIvafYCWxmwR9miCIBtWv9tiWNodyOWWxHCi9FZc3ElMOjEMWOcpPvKl5IS47fysjsOaJ4H2KNftKxjbUmP2zHXpLybMQWLi5I8STN968AtTS5HVJrMkaXXSsZ4fsxXHvH45L01hqEHVZ1rby3c/HFd0t0vVBJbDsALJt+46bh8XDNgYxkDN1jFKHvbYuMqt7udSQf1uA78ai3m7a/qc+e9fb74iAIVARKEJEbTG1l1MzBvwOQUAa/C+d4qZ/mUsbF5g4XNgZ++lkXC0Ipy8tBdDOOuSbkyMMNHDulcOdjxQ5geqxTciSWOLYPQYIz7f3Ri3P/qawcUgUvyxAl5TcRGAB9hbhhZUsqyZZThSg2x2WvJhrJErAN3efZfNvG0pL+lHZUl+QD3JH8uU+bWKbh9L2Kta7n9vhoHzlWcNBGuJDZn7zQOyGtPsu8kN75oRwH9AvokZx+KhEpZopAlWMS6xI8LNk1uGUqhSJIEKTXRULN3S8RbXtHloX0+rTBNv6b7JEVCMaDQuvmIiQ1AnjGnhbTAKq1RSZlbpgkfKXGbFtiCmJxMT2vFyexmmwegovR6PI4r42hcc68HuJvvGBsH7jC2REkqdSToZi1G2piJekw/1Gm2LLVZGPVB869eGqO1PhAYlSJFpViZyW0JJAWTq9LwmEyW5CxeAvmoNCnqM3KJIstAt6n2LiV0pOuUNyT86Wer/MEnGliRSRPH3k57F5N1y/78hvIkPQCjj8+D8ZIsKRh81Asv6sLTnshxgFvpum+MxKS7TCtjiBIPqQw/9rYeh896/MEnNVGcgjyVNUMh3dxBCpAz5qxkEiRPo6TNDqRDoJQoGiFsyvAO2K6fM9Pfxo6zeKG3N3o9amSUdfjo4Swfv8S4PaGixDIMLe2upd2z1PugDX2k7NGsd0BoeoOAcqtROeDYKIItPy9r7pH3SsAWkFuADuTrpcq4TJElJi8CTTMaYMpx/Z1lJ532lrJwTZSM8PyIw/OST95dp9v1oKrSOkvFSFp+vC0tAzljwfTYcygSGV+fwUugh5IWL91NyuRynMllAfJEIqWbadiox7zt1T0+/9Uqh8+lHqvzUUiEoD8SFWRyYGMmV+nqomwK9HTRydLzuWTJ3xtPz1usEKV2vkyKiBESpPQe5fcY+TjFJyzX8aTRQz+0rA0NsY2xIkLf8WjA2pokbodcvdswDOWIFrIbXD3lPzR+lb1gcFl6Tz4PsAvwl4c7loNLk+pvUwo0C1mSgzvfdqPQ39l231rHDCPDnQ/W+fLjVTccvMTeUritiPL526WZIxvq73JQuUGA+fVuORtlQB+/UzD4aPd9UUorjSQRCpUYjFDEQ83rrg153U19Tn3OY2icDk/FMzGaoXC9l8KCSHfBszlUSskf4dL12WuVuScirUmBQnuLIpvpnJTsfRd8lo+ZLGNHFO7JRqogt0vGjm3WtyAFbhuaAG67vst3vL7P1k0RevuWi9eGPT5/aGH7P/ZRTDTc5NViWMsoskfeKv2xLNodDzgzGZK9nw+myZb6MWAXM8GLyaXrJYoZBXt5HxmVkG0YWwST7i6V69SRfsw9j/j8xh9PkBgNviq0t5D5OLayNVh87lHfvszejD1fzwobILvMRDnYswKsgq2ttCWZ4uamSGlGmTyVKsK4YUG+n/BzP9DmwGnNPQ9LjC9SFnf6MDIq3eR9vOOoADuk/4tJX6fglqS6XBQSxUkRChdFFscrA3qZsU0J7OP4eb4Ac/zYZr8jhStXvni7z8XbdjDd3PX57dsuXFO3vHR3V5mVI9NN9aNSxHi6KGwqF0ONlIaO1YsUI41LpaxlD3usAlDmHTg2nWlS8rbHvO5yh04WTGppS4xdYvBckpSck1JCx80YjDi9IviND05w3+P1tM/SB+Va0rQUVCVUpOvr9GQ6eqJUJjtay13u6C/VypenbUmZT9/KG6ZF+RiOzjVUJdcoL+gal3WSsQbf8nbn6Qg3C7MzMYG2PPSUz1o/0wgpyJH5FPHRuhlRgr0oKZaSrCnZyOVr1T0f/Z1RtygLose8/7H3y//+hr2rY8WQWecXwDCqsf9I6/vuuf/IAT076a6mMLL0e6UWMFmqlCtfNHnrU+nrjsiT0lUoWD98cUyWCFEOLO2YDh93UcwYi5e31hgHd/ZeWgorXa134id88FNN/uYrdWwlY27nnghRFFXlF+7YfTSuGCsLXufUjjHN2IkeIfNU2BaVfOVu+6KlrfDCba7J7fiYCaGQxiCERvYT3v6aPs8d9Xjv+zVhEJcADhaP0PX9bMjk48GmFWniR9hcvpqsHkWUtLlMw1ZbMLqbOOsu0FyulGKVfCjniCoYw1/K9OUYJ8++G8tgaEhsiO5ZLAZdrUSu9gTDUKadMXmAV55GVICY0uF5/gzm6Oiu/IuNLfnlgekjA9XLIE/3oMmKq8qbIql0z8Z8NzCVFPs6lh61ipEq4csPB/zx5xoMEl3YgkKDcDU4Wc1JubBq5DNCSWK9wB3GwP58WqWQI+Uy1bJdmBdclQNOWRr1JgQylSgmf1QYYUiMJvAMP/DmLvc/6fPFx+vYDODOsMZYwTDtjBcpA+c2pbTp5GWnwzNCVyJ1S0xhC9pU4ltwbY+lYDKTLqL8WJIrBSmOtjtuBHJKQajASR2VwlFJ0tn2BrDo42dST1MKaj75JKhiU6ESQzP2PP8gdj3Ix0z7su7eCNjlrTDW7R5QYvBiKzs7qrkzFpclSzDT3jJG6YjeUPCrfzTB0TMB1lMg1LqspScK3zuTZWoj8Jb1N2VAjwUsLyDIx3MMI84A5eIruy7wHOm+t1lBlsSIjMUlQiiE0cgw4cLtMb/wQy3u/7cBnUEqVUzxyQ2KYfYFTcHgbhm2eccReRYzSwAVdShZe1nG1lktirA2fT5aIpsPCB05pqNuXQH0UeCN/n82T4oJAZsnFfWah0kMeteOOaRQRGGbeLiI74lRcI9dOeJ5Xo9Hv+MMnrUkZWAWpec5W+caMgO5WSdPsvczf1uOuyXjQaZ0vZZxAr/78QaP768Unnd2T2tOPGFL7WiFPTgSVJZAvh7hRVFRcexscVZGnhdvlV2UTJ5kaF8/tzC1Co3AiJTNhXvuflZm8bTFTWiksVx3WcRPfkeL//7RScIk+9AF2BOpGCaQmtyjIM9BLPKtHvMEkEznuaS1Jlk7Wwb0IvFT4EBkiaGyJBlTA2WA50Hmep7IL44kgSgyIKr4lQm3RfnrXvct+EGD+dNP8dwTtyNkZcREX3dOxl6vY/KyLFkH9tFdADINXsiA9aztto4udHcuV5QpgbuwCWXO3EUbmqokfPHBgA/8VYNW33MZHPF8NScl7b0ukBvT3+swvp4R1unyjep7ygmfjepTcpAXaXubaW8jC4clK60VCpNYjLBpMkiRxIZmxfDD7+jy6LMBdz6goCaKohEpwJCDXCiRW4fgfGyNu4gzV8W9nzG5Y/Os7DXT42X9nYM+ZfXMVszKG/L68CLMW6cYni+rntmFvX7Em958HbfccA2tdgddCSReIKlXLZONkCjR6f7ppc1DM6Ypg3tMZ4qcwTZgcEqyJA9cywAvS5TiUWTAFuNMXt59txRQZmn5NLGjZIzUMfuPa/7vjzU5vOyl+947YLv7GHuXZMm6AJPn19/jK1qmJdfdMlIcswbz45uWrZZB7XR4IVeyQZ355lVWIGzWcmhKYHeSJRHKrYyR4aLpmH/6zg7H5zWHzgisTlk889qsIEHmTO6SKO74QMbWNrUHU0CP2ILF6L8se5kB3Ywfu1yLp857VsdTZnVbwleJeMtkAOTblK/1LFGikNpzrpjWzjHxvIRaJWQQBcSx6wEs9wiW//HxE1YsK6OgRjASqI7spVh6nm8omltc5nmY3IwkerLgUuZaO9XbmTQJYuZbgl99f5NPfqWG9UoJndw5ESXtPTrAcmS+31jJweiJGGvX2ygoKr2x0WFcb6VRjE2QpUA0u6f6W9p0FHIuXdxOZ0ZYEpPqcAEmscRoPGl4+2v6tIaSn/1NxcKagCBOEZp+CKmJUdn4cBdhpQFllvjJdLlMA8hsq8ncScldFFuwtmDkefrPjMja/Limb5a4Y/QYjcxzdPc4EXSGMEzc2LvYCrRSAt/35qUUd3jB7BuGUd9VjJZ6AvN/KD8T7s+tS/KU2ZvS1Zk/jkmUEVYvHpUss/r6PdJVGeyyJE1S3S1lhNYRIYbPfK3Olx6uOd2tUltQyPxRpeB2Q+Tt87J2fkIYew9GwT1+8W9I4+NoHgP1usRPytYmLWwyLhVeyBSnwbP5gcJmYxwkxipXmCUl0kqSWKO05fU3DHjry3t86HOSMBZur48MoSnVJkYyTOtPoHBNMtDr3A5MrUNji/rwjLGlGNHfIwCnKKkdOaY2xdOYVCmvdNlxKXpWIY4Ttm+ZBSnv0EFl3oo+sjpxJc89de/x5VX5P6zajbVxvstv1uo1uvlnljbPkjejxU+5lFBmZGCNKteOlNLuI1lIWTQIy5KfPaK1yz8ruyXZa+EswVgYPnV3lff+UZPTS95ItjILLEUK7tFBmqOlBC9YHlsm5+dhnfX6ZGOMj9spI3UoJZBbK9LhOpmDUqr6LEuT1Bd3lYjONkyMwlhNNFTsnEn42R9s822v7uERuwjNxmBisJF7bg2JgaGFoYHQCCIjiKzbfS8yIm8Tiw3psFBBYinu2d6b2c/S3x/dhHb0efbz/NEy+v+kvxsn7u9GCUSJIIwTrt67mboa/o87Pv/F46942SUubtBqgJQW3xtSCyK0B3EiEbEksmpM79jR01XSUFCePzdmB1IwuJCj8mREfwvrdswtOSaOtYvnMtXahQaP88BSyhjtJ5xaVHzgE3UOHAmgnuntjMHVOvbOPG+1IUuXbc5RHZ7RzzrfdiwQFzly82cbAL1UC5LqwSLDl8qDPMAs6fQU7E6Lu7FqeUGWlAirXNuY0STCIlBEQ8NlF0X8wLd3ePgZn+PnS1dyytiuwVTnTO4kS/pZROGRW5F23JdmEqqS/raC1BfPdHfWaV/kFWyJxbNAM39tNzhWKeAjI4gSJ0/CEDq9hHY3oj+IcJ8emNt6BVLWGNS6DLyHSYxHt1/BGJ8kzVi5+ZylWLasm7JjUZYjIxKlvKXGRjq8pL9Lu+gKUQSVhT2YFKCXSW4VZvpb65iVtuS3P9Tk7scraZWgLoAts5oT55pk7J1bkyX2FozWfo/LEUqv1+2CsTFhrztRMOZYlTvrR4qv0gCT1I0YK74yxm217eRKocONMQjhAkd3oSqSlGySnuU11w755+9p85/+aILVXvqBc6nCKMgFuVXowO2QqNL3HEHYkqMyah3mQabNSKKcANooA55CbYwsbKqaDI7Z+6FgaSAYJD7bdu/mlhuuYq3Tz78K1fpWpjZdceezR47/xl/fLzm60KUSRKWUcSmkLVf8lQugVEl6lHsl5bilZ0f0tCxZfOXOnHEwyzEwq1JgqUQRXA6E5X9+os77P96gE3luGoxQI9KENNIvVwzmEkWOa/CiSXc8+CkHm3l27euh+nlRXvLAC6yP3cXYIyWJMjqRtmhSLiZhjcgXq0hiRUPDj76jw499e4cqMZjEyRQTg4lSyeLkikmlyiCVK6ERhFakUoVUqohClqQTX5N1743dbfp7qYwZkSq5YzR6uMpk0wlhx7YWP/SWFarekd+48WWX37ln99aCwWvNnfzQP//lnlbq2NEze0iGZ5muegxDTZzIfBTAeiYuMXgeAY9Kj2KJt2OMbktSxY6w9qiLYkoMbdKUfVIElhm4ZYLVhucO+fzFnTXaUVolSFmeFNLEH2HvokCpcFDWy5HxgHNkSS3JE0S5cOlvje8RYBfeuCgB3FKuSynu6eiGNMLLQC6FxAjrPGdrMVYirEQY5aSKcF0wjSDm3a/vccf9AU8cdPLB0e16JrdIIig5LFlcKoqmB1lMucrHSaTv5Y0PZU983FFJp6uBzSfXFnUnxTmRgLCWyRrccJHiHS9vEpnhsbs++4u9297yKwXAAf71T7ydShDw0IP3c+zIkAMnNbXA5FOiilkgo2n1jUAsM6ZfB/xx58SU5IrZQIdngC6eyxK4M1kiZYzyEp466vOTvzHF04cCrCcpp+KLu0tY5DNOROF5i+cBNmOPZQlSBrIYX0s3frEe5KWWteK94v31jF4qvjJufo1j7HTiFG5rQKe705HHaTpfpPJFZiDHIELLNRdHvO9n1/jR/yx4+nAanIwlgQqQC+L0O2WlvFkMoXBOixJu0qwi9fEzfW6LWnAzBt6yT561vGUJRJkdlxTYWQVmPRBsmZEwqHF8+QZuuulWhsMB4ACe/X/UGhM0JqYJrWZhBRZXPdp9TRi5Nqf8hIrRumxZdkZU1kJmS1LDjjooI85IIVfK0kSqchA5Cm65Abi1l9Cxkt/7RI0nng1I1DhrpxIllSaZc6LLrgkFK5QHEeXWYC5Zygy+sWUiyv99IWxvYIjbseV4NLtZdk9E/l65CMuY0k4RJgO2HNncyqZticao1EZUiFhw3RVDfuJtXRoycRaFjUv3pCRX3MUY5Q6LIDTudZQFfrlkyWRL6rbYQpJkgXFSckrikmwxuZtSzEzPMulKgq8FtYpgdkKxaQrmZhRzcxPMzTbz45kzeBT7JDY4bGgc8f3GRWEYE8eCxCs0eMau5WbgnI0ZZXPGgsnRIivLaMDpQJ7Jk9GETwbwpKTJk1yHay+hZwQf+GSdj32pzlClVqAYY+605kKLYgRyrrUp18OQVWgUiZw8sBxtQytkihh5L9PjfB2hYp/nOWTSxI4EoDn4y0ye+dLZBZAngIryWpEmf6S1WGMdcxuFABLhOBZh8eOYd76ux74Tmg98okE3AjzyHUDIPHFh02OsSIxgmEqURIKXuj0GgcHVrEhbuCsyCzpLxzffCUIUIycEaWa0zMLuY6JSh0XJtDlHWqYmJtg03Twy2agc7qskP475/3vpxTt47umH7rhw5+SHd++Yw9ok1zwjAWVpNFrmY+e+dyl41M9T2qrKweVY8Jj/rjCosUBSqg3ArRM6oeD9f1PnP79/gvNLXlpAMgZyOWoLjnTJU8z6fj7NXX4NZQZf//7I7QXpu2DsEfamGPpTZvRyEdYIs5dAXYBejgSemVbPZozbrG489cdtyuJJotgyY/j3P9TiB9/WoRFk/njZI8/YPL2n+j9MA9ChFQxz5k698tQ3L7N5XPLIR35mnbee/TxOF5MkZ/JS4AmutCBJ0MEM3XDyw3fd/dAdteaO9QwOboIpwv+sUvLbalV9rdvtwJSGyBeJHyXLLFywN9hRxmacxUfZe5TBCxYvp+fLLF6WJyKw/M2XavzaHzaZX9VpEZVKnZLSIxIpxpM6KbhzL3a837KUmS2DumwFluTJeEXc6PaBXx/kG5VBFN54BubxIHO02tBke1SWQC/GWNwYWcRL6cCcxDieFEjiULJ1yvDvf7jNclvy4dsbUIkLKjS2RIsFT1oECa52JRHuM2vS4Z0Ze0M6MN8dn7Jl6IJMW5oTXmxzI0XRDwoCEvdvRDGEsaEuPBDiianJymd7vdFPpsov/vSDH+RNt116MvCSGwPdf2mtElKtJARegu+57T60LrPzmFwZSdCMFk+JsbEPo8/LPnfRJV/2ux24SxZhYDl8RvPrH5jg8f2Bc0xU0Z1TPDqgawmBLORJZg9qSdo2V7TdjYxxlmWGF6W2vWLDKZU/l6WflTbUEqVpvXJs76HS38srF0szV9atLKXO9PExeEX/azHNVZYuvHzAZXkFKl2s2UVpjWViMqEawP1PeaysyiL7NXL5ld5LSzhsKk3M+AWa/k65liZ3jChWqPGf5f+GESOxSP5nrUUrjZD69ieePvy7P/D93z8C8BEGB7j4oi0IBK3lVUhCfD9L2ycliVEY8+QHNGPv4iCPFmCZ9TZh/l4B8PLzHNQiSS8eZwsq33DkrOY/vm+SrzxagSB1S8h0d1l/O/C5Lp1R9h6v9c6DyfFET4lxRjzwEnN/3bqTs7jCRgAAMEFJREFUvy2bl7CTZzbHZUmW6MG6OYHWVdPJMeuwzOJZMsjNKhFuR2JkzuSkmjyDo+lbXvuyAb/yky3+w/smOHrWB3/sg8qU0YVNV8oC5LF1W37HgLal7Q1xM8XLjopILcWy5Ms3psqPt0UagZYQW5vufAHDyFCt+czM7cBkgzVfCOCXX30bQqrw+HPn6a2ew/PIex0zps1nxYniK43U7ZZAn0sSMs98NMh0gDaFNZhfAEkK+ALcMgX38fOaX/y9CT52Z41QpJvTZ5v7jEmUjHULcK8vhR2XIdltI8AWQWRxInJHheLfyn+/dNKygqHxoqoR0IyBufyzonzWMVe5h5NywEnJVRFp6t6kjRg54LP93IWzDq11tqKVYBWJsVR0wrte3ycx8B9+d4IT530XdGZfbJ2sylDvwO6yqm7mfgJom6bxKZNMenysGAN48W9mx1cIkMYN9A+lRceuyOvKTVv59n/8hjCKEn7+X38dgFfrs2iv+W83bdl5RUc+9xqbdMhGcOV1u9mfthtTVg7kjMU3AnzmmORMXmju4mclWSISlDacWNT83G9P8PEv1giFLMAtxpM6MmdvrzyhqsTe6/T28wSZGyV3xBiSbf6yBPTy74hR4I8Al9F6k/wfLF8MFGC2KcqL9xktpy2l8kX5MU3+ZDs0iDQxJIzFKWSXyse4xzi2eBje/cY+WsHP//YEJxb9DVCzHtwlLwqDILQO6NKmJGNTuWeLlVSQc2fpELijZsi8cfevaiEw1jAz0WDPxRfdtfeinf92ebWz7lOt+6ieP8Fg6UPtyQl7wI+6rxz2u8qiCnDnEbscqYUoMxYl1i6CzgLoGYhz4OfMXfjdOehTcAudcHZV8+9/d4KP31kjzERzztZq7Lm74sv1JuX+yg1dEzF6sEfYvQzaMRCPAr6A+t/1Np7kKV8IhdallMHMzosrcy4AXLS0jQaiLtBMJ1G6RIxw7G2MRUiVPyaJRWN457f0iRP42d+Z4txKeiDLH1iWwG2tOxfZUbKu+TJBkODY/P/X3peHyVHeZ77fUUd3T0/PrWN0je4TBLKQxCEwxsTYHPbaBGeDN3E2Thw7DkkITrATx/HuZg3O+to4lwOOIY+9JJBgC4OBGNsgJK5gDgmB0DlCtzSaq686vm//+Oqr+qq655AQCJz8nmeerq6qruqpfutX7+/WeyvDk6SoiBYhFZ8P9HDiiK5pG0OGQD4vQmKx7bf+/Q9G/vBjV04McEQnCf3hTwjZtjrvDq60rQooFZCSwA8Y6r6FIOAQksWNIVPWhsm9U16VzF8E7gT0mq6YIFdptwEn+Pvv53H3g3l4lDUBNs0sJ0EdDmQ8JyZFkQ0gBhLANgK4kYakUKh7I5wSshswnaquT2l7qbMOkWQaxvkpUaFBKuU20wYujn4qTW5SFCEkAJWQBimBEOAQuPbyKrbv4bjlW60IAHVnaf5t+jW1b10DnZgxgSjgRFTQJw6uRf8zM3qjhDrXRkrlovR9IAzicziWja6O/IvHT4x+orO9peklbQpwp+N6HN75d6FkZ8td/f3Yd5QAhIFTgSUz6+jtFKgh6kCLqHza/NFJcicSHQ7OaHGTmpjAVq0lQoOeSIATPLzJxV0P51GPXRA6gJOJWCJrWKYB3VCEgWb53llOTmLQNwR/kn8ZmomT7MZJADvW0MnbxqKHFLibhe4jcIsonTVjaBIYy5KqoEoEICIiigKljUnUkpiAxRXzNhG47vIqnnnZwkOb8+r7RliOumxGYJbGBhX2UVqcGppCgz1OSgSIMkoTChwdV/hAUMOc7hEsnlkFZ+r/OnyiHZeuvlBy0PCPmmjvMQEOAKXpH0Dd8/DN2/txx/2HATAw6eO/X34Ef/LREeQslUAfu6J0ogwMYBtgRgrYzTl4rLFpqADPJAgD7nvcxae/3opte2zl66Zj0ZIkr5Uh4t3Qed6G31vTEYxNT5r5wE0hEeJNA3LMVJRJ4LsZ4ONMJiSGpN7QUJxsGqBINLyATKgKzVIVAsT1nDC0eJSYJSTC5PkAConlc318+XeHcRMD7t+YV9+HSuO/oMaXp8afCXSCuBI5ulrx04hkL4oEggDtbhk3fHAAH3l3CCksSAhs3ddd7px9zl2UFfDnn25+bccEeIgOWQvqf1lqO+/LrfyRkmNRnBgBXtjt4dhwBbO7NTWJQE0TbwqFMHh4AugE+MLYlnhQCFEB3hjcHPj+Yzl85hsRuK0IxMgAGwY1iXzSluE5yVbljKmx9eXOamrSCPi0izATqs/eCJMAd1Z7p7AeAT1d5JDNU1GfShuliXZPNHfadZg2RjVVUVgkekyJ1vJSQnohlszxcctvD4MS4L5Hc5F7JHN3Su1t08sa3LrygRhgz2r2zBUUDN1FgeV9HBDtGBhywGiAd5y17ji3nv16rueXm4TJJgB4IcfwzPM7vnvZeXP+dMsz+VLglVHtYFg4KwfIVlSqBGGogwkZsJLmWhuQUXZhc4oSG5ZMAhz4/kYF7q07bRXIMd2AaMa71VXW1EQDOYlWmmBNe06adcLVAM0CH9l1jT/J5MAtx36fhOZl8p4YN4Ch5SUQ8WpEiVDKZagf/Yl2T3NxrcWTnBXDIIXKRkSk2aWgSU2yJ7C8z8eff3IYUgI/2JgDECaKOnaHmF+SGOCmje9jr4sBdqKCaNKxUZMlbN3hgoUtqNUZSq022vvOAazSuNeYj7dx5oyp9Vp19OPrV8/85/49OwvFAsfSuS2oVwWGaA0W88FZCLAQOtyeADzR0lltHgNcG5lEBXopUZREcoIHHndx8/9txUtNaYmZQGX+Kb5tIco3QVKClqrYMYDZoJWN9zrAk6bUY4fgScPCyUnshDGiezHwDWWYCtNH21MJV9DRP0SAjdyIGsAkevoaWl1X5WsuDqqoi9b+ADOqziXgSazo83HLp4YhJPDA4xrk2lKOE1xN1EerTM0Nta/W7kjsKEaAPAUKOaDAXDz1Yg4jww7yLrB40bxy3bM+3jFlSv2UAY5gWKxYMufpqR1s+OEH9hcIESgVKCo1BxYPQV2VbAUgDtbEkUcyBrBjL0sT/k0JBCN4cLOLm77Wim27TXAbnVFT9CTZRmAMjCKG39vQ0HEzUDShKgawTZym1pu0xUBmA6YnCmsa3sSG9NiIQycgTyKaJieP9zP6p6QMT9KYuxJrba2pBY16fBs55HoGve7RJrTSldADn6SQEJ7Esjk+vnSD0uQPb3YRAhntbRho8Z+ZnkiUBUuimyi+oBQcQI5KFC2BVhsYKQO79vuwLY53XXHhcLFt9tMHD5YFxhE63saenm60tpaO2Tz40PLlS/1irg7XUW69uCEQjMLgaHqC6igVvRKVs02JzidJ55XEhmYE7keecfD7X2nFtr2WKruhWVBnwK5dhhG4lUvQ4N5o5Nsx/jJuvyzQ9X5Zb0nsMzK5u+FtSS9NIIZ3bdxt2QhnnFlo8vEoJmGUtOkbAUAqbiHjLEPN6fVylHGoo52CJuVvUrehUHnkUhIIH1g628dXfm8Yl6yug8V9RvQMFp2NqPPLo2WdmSh8QPpGmZxRImfoCgmg7ksMDNWxeMkyf2TU+1BLsXis1NY57uUdF+CEWDh6uB+ljtn7p05fsKu9LYecXVfaO1VtE8aA5tyHZXuwLB+c+Qm4aZBe1lqeAoQRCEbx8JMuPnVrCdv36A5UGU2NzLq4Sypit2A8Tx5p7a1teTNrMOHlsgGsCuTNJz2n0xLS6E+ZSdlHgYHbrHGZ3TEFZr2fWa8ZrzPdhSao1fF0klIMbkTYg1E8EYOYIuU7j/9oBuwJ0KUgkD6wcJaPv7xpCO9aU1MgFyICszBALRpBHgYqLdD3gdADpBeBPkAoAS8qivBDgtFKCCdXxFnLF+1atnjO/t2796KQtzGejAtwACCU4fjBR/c6dv1jfXPnwLGrYFzNn7RYCIv7sLkH1/GQL9TAbA8jXogTNQHBQ1j5EJarxvfpjEMNKBCAWASCE/zoaQe/+39asb3fgrQMrW1MJIg9KOb7CERJMk8UIUu5/4xXAGnjsjkPN70kWYMyZXga4GwAfLP3E0kKvY03QZaPx3nR5sdlos0Tza4/H/VVSQFYG7QwKoPMKiANagV0ZINGAoAPLJwZ4Ks3DuOdq2ugQgC+aThEQNdFzV4I1ALYoY/OXB1trgceeEDFA7w6ENQhQh81IVEPVT75UFVg3sLFGCoHH7v7B5v2MsYwkfCJdujumQHfGwG3Wg7u2YHHqq9tu8h1TiDn+CgWqnCdKijzsO+oxP4hhkPHbTz2pI1qneCStR5mTQ/QURBYOCtUnUgDJBVCNtB/jGHzz2x8/m+L2L5Xg5s159sNud7qOKrbaRKxjA1KJKBuALkJ2GY83AB11setgZulKq9HYm1NGgELQzM33gOkUYNrozICbJJpqNcbvJwkHhTCon2IbhFHG54MImpxRgiiSGbkBhcCJJBYPDvA1/9gGH/6N0U8+ZyN/mNM+WwJoMOXjAALZwdoL4SYNT3EJWs9VGoEG5+yceiYhQODFvqPhBCBRD3IYQQWClxgwaw2XLR2yWNXXLru4Ei5itaW/ITXddK/y/ZtT4Ow/Idqg5v/uRUb0FKoourX8OJu4IWdHJu3ONi2y8ZonWL/QQqEwPSpAYr5EL1TAlx9cR3vu7CGOVNC1XCfA9v3Mdx6WwEbNro4OshVI0hTc1PT723WVuqUWBVosUiU601k1MhHxrneekqaGq9ijFvRud/xwFlzjIheNvO/9YgS/TkS537rfVW+N8BYNvc7GWei15nnS7/K1GuyLDPbRXobS3LvmVlhRczuY2bVVbpmNtVkiYo4dSJdE2sE4aiRDEfC2NUbZULh6BDDho0Obr2tBa/u40A0WGH2FIH3XlTDNetr6J0SoJiT6J0aAgHBvkMM5TrBSzs5Nm118PyOHLbsbsFwtQhbENz4q+vwgV8499rhkerd55+/ZlK4nVCDa5k9uxfMan+6PnT43m0v973/Wz96Cc9vK2HLXhu7DtgIJUtaDeRVyvuBEww4KvDK3hCPP2/jh486+PD7qviVq6rY8RrHF/66gHseclETTBmUyFCSFO+mGY1OYreg6TlJJiajabSygaoY22Gsz1KOFCVJEW1TXZjuMb3/xJU9sV/bfN+wj9HdKvJKxMEdJK7C5D2J16n3MjlGQ38VI+9cJi5EalIRc5noBLuo8WfkAJdE5cAgkJjSEeL6K2twbODPvtGCna8x/Nerq/jw+6q49CwPjqPa1oqAwhu2ICXD1Hb18y6cKnH1+RXsPFjDi3tH8OQLJzBQPQ99CxbdO2vm3KcPHx+eLGwnD3AnPx1+dfvefOfqG77z0y3srofCq/Yf8BSqHAMtmm8JH7B9wPIBIVEPJX64ycHuAxSVGsG2HRx3P5RDHSTKMTZROBawjRsACTh1Ij01X6PlhHYYnZPiV5mOVgKNXhQD8An4GvuepHi88TohsPUCyWwwXYeGF8WcimxmGJrNgEyaEtMbQiIXYOT9akJVlDEpUkCOo55xQIjGLSQopPK6QIIRBXbtWxMe4HCBay+vYWCY4uWdDDdcX8HiOT5kTSKsAyLkCEMLQciVZ6auMlTVtG2JmV0CM7ol1iwoYCjMbfA7196w6/C+/pWLZp1+gAOAlVuI73zvqf4LV120Zct2/6qjJ3YB3IrscRJlgEmEUkKGURepMIr7UhW+hwTKVYKt2znqNQIUkADbhErsx2sGdCSeExhuQRjekQxYGyOZGaPSBGuT7dkIp/6qTRV55nVClGvNa7qOtYY2tuuEJFObQ5JIS6cfAXFClnlcbWw28Y+n/eZjaG5ELkhDc0upeq3IyICQhIBEDj4ZErgFgWULffTvp1F2YmRvSopQcAShBT+wEYRcNQeN3Jc6tSMIBKzcYszvfecWGT7Wn+9afzKQPTmAA8A5i6dg8cLeW57dsmNu/+HB644eH4TL1BdSTyeCakhQJhbCINLkIHCoxDnnePjktRW8/9IaWlyJrf0chwdZ9C00/zb8FNnoivFHkDUqmxiNBlhTUUokh6fmUeP7LEFuU1dgBrnJ++yGposN+B7z1aQdKfcf4jdm2D7W3Pom0EFFkgA9BWYkSVnxek2DxtDikAbNIcYNgCTsT6ITUk5w6BDFPz3g4jsbcjh8nOET11Zw7qIaOAApKIKQw/NteL6NIGRRAbS6vSkJYTltYPn5d5H8mluC6t6ThSsm9rNk5Bt/+VW0zjy/vmju9Pu3vLz7YtSrs1wukOdAjgMOk2osuqTwhIT0fRRIHR+5chTf/MwQVi32kLMlFswWeHUvx/OvWgY6m3hNaCY8H2lwHhmX5sDWpgalNiR1kW9c7CtTp03m0Ov+HZnkLGqu02OpiTHihMR/2ff6mOn3Y7gxm7xqKqaHNplpBGONNkzVODa7+QnS+TeZbdS4mRueYCSyLYxSxIbEuii+cc9PXHzp2y0YrVG8vMfCvT910V6SWDo/AANHzXNR81xUaw5qdRt134If8GjSiAXutG8s9ay7tj7876NtPeefNMAn9IM3kxt//T1oLViVz3z8Sq93ShF5LtCakyjlJNpyEu2uQKslwUOCAvXxK1cN44u/OYyulhA8CvGWiiGuubSGWd0CUXwXzVWlQVWacm8DhJkfwvxh9DaY643tQPoHTH0F4yuZ3zT1jccyPM0PTlJi7Z1Zl1ROkfR6vU1TECM6GUdAjSdAMg5F82pT4yf+c937ONU9C8n2phQm+m6UAXuPUnzvERcjIwywGHzCcXTYxs1/04Zv35eHJ0MwSlCrOxituBiuuBgedTFSdlCucgjahfbe67xQ5iodMz54KlA9eYqiZcWyeRBCPHX5O89d99NHHs1B+FAJ9RJ+SCCJQFu+jEvOOYHP/koFrS6D7zHofG9AoK01RM7Sv2RWi2uaYobmkXhOgEw4PmNQNtNcMA5r8msYQM6CfRJYnYynZPKiiGoq0UqTVxg0xUi4gkFD9GcSukJimpKkhxj55WbxcrZIAoi6ZGm/eEJBzBsI2qtiAp1IVH2CwWGqWlTpJzNjGCy7+NztLurhEC5ZQRF6OZwYzsEPSNwm0HFzmDV/dbW1Y+5ThJySHgbwOgA+vauI8mj5s7/2wfWyNtD/e9te3uESSuMWXdO7Cd5zQR0XnU1gsSJGqgKc+mAsUOD0JeZMDdE3J8D2Q3aTkLXpMUlz77hZJtJh91ibwwS3bABtlovHZ40fvcnXIA2fM5DfhHKfFNCzwMysT22X6e0y9TmddJWAOr4hstzcjFrGPFxrbmlkHyqeTkwtLggINbi4wcEJoZC6izxRQcvduzn2HOKq6juejWQBloVBj+J/3tmKzcsDXPGOAiixVfUW1CjA6TPn1UpTL/+qH+T+2HFzpwzwU781ABRaCuInGzd/fvGCnlsvXtPhtRZCFPMcU7tsnDXfRlexA8Oj3RgaLaJWd+EHDsLQghAcgUcxd46Ps5f5cDgia8rU1qaaTTS4CeYE/tKgIrIB5A3psc24Z+Z/a0ZXmmC6USIefLJiljQ23W6ANf05IwxvfMMYyKmwfHIcYQI/Pk6yH3T+Suq4CaBj+hLnrxg+dEJQC4CfvWRh926uYhyEqdA1d8EtF205B51ODgPHi3huO8f+oxRDoxwnRiWO1bo9wabcuuWFpz7vuLlxswUnklPW4FouWHHQmzaj8MUf/7Tk7dxb+QIjoB1tDK0FgWqdYXjUiaJfRq9vGYATguowxcAARSgzgI6DPWkSHOt1kpSemeH4xmIFmQK32kmmeHWDl6UpNUnQrUM5WX95AxpPhbM0aPRIE8vk+6n1aWpift6kJtpfTkgC0piuQFf5GC5FreK1N8QsXNaeE136ZnpQ4mXlRxdSNfrpbBdwWyVqUgOcg1COAgfaLIGOvEDOBkbKASgh8HyCrk5HMKv9C0/tcb5s7znhvV58vi4NDgDTF/wGHn6sq0qcd9x74bpzZW9PiGJewLUFKFENE/1ANXYMQ+XnhCRglsTzOziefcGGH5oug0xQx9DexDAsTUqSADNbpdOopbOtIFIQbsK/GylKo5yCwm5ykPTbFJ/O7mtkFeoFXeyQPYbpCxfGU8KcJIGssZjh3Kl0WpA0rYmBTZNlQcAZsOrsOs5eEABewsEZIXApYDOVciCkhOcLjFQ8vHa4gqm9K+Sla5bf++6z3eoff+qXXvdlfd0AB4D582bhkotXvto5re8Tue6zRbkmwZnKj1AXNNtaAgADRusUI2WjaCHulJGxBLVlbu6RoSTNgGh6OBq0s3EK0/+dAn1TNDcuyyb7nBToZbODZHYxqQQab4CkC02GzsQ7m2A1ubj2mKjjxbQkk40Ik+Zkw/xxZqECuoiaeRbzAi2OSPEqsz42ytGCHwDFvMB1H1guVq7o/YRVWP1qW8eMU0RjWk4LwOfOW4INj/Z77tq1t7W15G/s6e4EpB9Ph9A+WX0VKZUIagRPPO/gwDCPcr+zFfIG2E0uDSNTEKaGTuiI2j/d6w6GwTkWvRjXm2Ko+Dg3PL1rg0wG43LSG0h6naGF41UxqJN9NfhTVUOxhjZchuY+8d1DGp8WmoMj4d/xLKBIkwvJEfoM01sF1pxdB3Wizj0R3dLnDaPWyJ4XoFDsQc1vvXHB4otuW7HkOW/F8iWvA5GJnBaAA8DVl6zA3ONHwve8+z07V69eN9LVWYBjqeKIeHhUxMNtO8DL+yke3pTDaMUCuJ6CxpFu/5CkxKqWD42heDOpqpn/O6XZje0GbJrnnzTCa1zEjuVWHE+Ty7FWyvF2aHp2w8uSphLmjZEyUvWNYKxvpCkZAzS7PVVBFPUcF6oQwg8YijmCy9dVsXhGTalpKRDKpBe4HwKjVQE334oLzr9w5J2XXLXz0KHDISGTyxScjJw2gAOA6+ZAMbKhb/45n1y+cv1Aa2sBjHqRJlcg5yyEHwp8b6OLJ17JAZal3EepZvXpHifRTxi/mi7AmFcb4G2I4iEDNNMYjQ9MUtuzq+Jzm8dAhtQQEnv3TkUMzMXvAaS1L1JP/JQnpOHmSHlJoi+d5dQp4Jo+9iY0JfVdk/VmMUQ8cFZY8Oo21iwI8P4LK7C4KksTUsKTauRJ1RMoFEu44orLBs5ft+qTRweGN+Ryp+4SbCav24tiSqGlFQDg1Qbv7Jm5nkspb6kcu6+bkyOqvI2FsHiAh560cPu9rfCEC1i2ch+RqC1Ein8rSflWzFZrGaCbH0u9Zg1QjPPXoHEzan9MjTwxZTkVaXDIZHJL0huNtFdiJmQh8oxII302k69iONfNPJVkkmuSw0KibTrBDtB+cxW+j2cBSQLXkfjoNRX8bK+LB57IQTIBT1CUPaBnWjs+cu3FR//L+y78w7rn3zmv7/TwblNOqwbXYrttgPS+NWXWhTe3dS89KqMqbYuHODoi8J0HW7DrtSLg5ACeA5gdNa9PV+oYv1uq1THQ3NNhhu1ND2N2BEnyITScxzxeylgdSy03QXNzWtLIl5u+b5ZUBUNDN6xPjMT0PkkVfpZfN2seJJA2PrXGb7B/M353k8KEgiIIGYLAQhDY8AIblZqLeb0E118+immtNSAM1VhDCqxdvfToNVecf3Pd87/V3dl68kCbhLwhAAcAbrfj+GsP3Bai49OCzxvwA5VS+fgWCz/4WTtQaAHlOVjcgsspXEbgRBUsDQCR6drDlAZveJWN4DSkwVc+DtCzn2u23Gz/U6Uo40oDuNNcJh3tJI00BkngJ0lRNL0jUb5JKrJpeGJS1yL9NFS5KoqeBCGHH1io+xbqnoOal8PocAvevVLg/BWjoETAJQJrlkwb6O0qfPq2//fIbW8UuIE3EOAAMKXvOtTr3h1Wru9TTn7+yImRAPdubMNwtR35nIOSRdFuSbRxgRKXKDIJN8rOM6IayupGouWyfNtsqtm0sLgJPdHHATA2VwdSOGpC0xslJuGnQFQmcWfEXpEmu2c5O1Ka29TQWmsjo9kzvu5U9BLxXWSshe53IyVBGDIEAVfgrjuo1R1UazkMVwrI2QVceb6HHreM1UtmjJy9eMan/Gr1jps+fvWpwmtSclo5eDOxuRR5p+Ou4Uot2LR15bcfeWbE7W3lcCwZVd+oKyykhBeqVPl6SDImP4UgSPpkwNAi0EBv0sQHaQ2ffDizTiKF/AalPgGwmzxwJi8RzSXjHcTg3aT5IeIiAbN0LbXNiIjqG4ToBp0y6romEUc3dRQ0AXbiItUNnXSfd0Rt3UJB4fkW/IDF51R5UhL1eg4XLBvEb//S9NpQvfvXHbfzHj8YfV1h+MnIG6rBAWDago/i0ZeOhD0z2D39xxZff/HKBbXZ7R46cgIFW6DFlig66q9gqXZrQggg8KDqmnxAiljj6EvdYGg2y3/Ogr2JK8/8TIOQMZbHW4dT0t1NJZ1jMv4+DeszNCUxTIkR0je0OtJaPJUeq3l+ZIzEgwlYAM4CWFy18BOCola3UKnZKFdtVGoOqjULI6M57NnfgoCcV/uFC2Zc77aze5bO2xv+j5t+8TRdqbHlpAseTkW++48/QGHKf5P/8uw7Xr5+/egr3Z3sfbsPDFqhDxRzQN4GcraK99QCAemV4cgyRBiq8HIUuqeEwKZRByuqq+aTqve4Gj4CLDNpi+kz18BP5XU1K0RI1jUUOsSUJlvg0HyZpt43vxHpBOvG62Fufh8zrYciyY5MUzNdFkYalAXQeI5kCp5UM0qjnjiM1SGJBwmB0UoBA0NFjFYc1H2OIKTgXGC47GMoOAsBXfjRCy4++E+z3HZx0fpfezOg98ZTFC033/Bh3L/hu/K9N27/5y/9/gLeN0f89f69B0oFW8LiBLalxjL/8ooBzJhyHIGo4c6H89iwuQ0iStSJH63xjy2Ti294WfT21A/V5P24mjbjbmzGD05LDsoEknbGNf8e2SSt7CZpUBOivSsApCAgNJlMnCRekahfOEm10FT/s2pBwVkAzj088ATFnQ+XUAkK6O0oYt2CPAougWOpvpVBSFBq7z62aN5lJ9q6lu05MezL+WeN343qdMqbBnAAeO9Vv4QvfP0f0Nfe8d3uNUWrvGLWl59/4aXOoaEhtLda6J1iYe7UNiyf52PaVA+WM4LntznYc9xRPahh+MORzipM9QGPt8sGOgPECXMNMj4jMXqAT/B/viFelOjM5qCq8QKe2f/RvE/jBp7EpDG6L3h0AYXS/oKorrPMCNsTImE7AQ6cEPjWhnZs2DwdXV0OxEygy6Ho7WEoFXy0trajpWvRcSuXu/Ebf/aLd3z+b7cSSi28mfKmAhwAPvc7vwoAGDgxeIdlcf7w1O4vPvjwT7pzVg1tLSqnYXDURXEkhzndPvp6PewZUAk7iTEpk0p6aoCbJkOmUm0iMsbjRJpXp5eOZWhOJCer2Ce1f0MeCqK8cxlv1u+y24C0Z0VTEyllrLmJNj6J9lmpicV6Zo+gul+KpuISu/ZT7DyWAy9Y6MgDnAgMjYQoFoCeriIWL7/o6JwFa/9IhP4dt9z+Em65nbxx9/4Y8qYDXEtHexuGRsq3v+vSi4jF6f9+ZevG7tbCIHJOAEYkgpBgzlSBOTNCYKuCZqrJT9S1ihOjSxQxStdMSoJJgHoyX3qyyI2MsfQH0u+zSV0T5pATUyvLxqNO9HmkbwZzQWoeHs320SqcEKpG/xEJIVS/FBGdRApg12scuw4yUKZyqSp1iWODNUyb0o2lZ118dNHSdTdLKW/n+bZJXrjTL2cM4ABQKhZQKVduu2T9mmDOdPsrgwd/1O6wA7BtDznbw6aXGJ540QUkA6EkGUtCZcrI5DRpwUYN4GSNq/EkxkczntLMTUgmc7CTkLH2N44lUzvLhu0nI3GkUmvvKBxPiUxyUXT2J5GggsZZg6FQWZ/rlns4f1kVj7wgUPYoRuoEM1t6sGbdJSfmzn/HTZ4vv53LT9w/8I2UMwpwAMgX8pDCv3PJ0pUD/dbueTabeiur32/V/Coe2JTD9n0tgGOBEqJaRFA9bz5aZoh676Ur51/vs5Bk/yYLoiZ+6LE+avrbG26uMfZH0/3SdKT5FWg0VOPop84JB4GIQE6l7lSlPShUFaywEKGgqHsW5s/08N4LRvDkS6M4NlrEde89z+8ssE+vWnXOTm47P8i5b54xOZaccYADAKGWGB3cumHKnA/YsvazCg8qf/XDxzaSezblachaAMbBCFHNNakqpuAMsHjUD1wPgQDiR7kZtdNiPponpYnND2aQSsbaj2RYx8lq2MlYsDK2E5vuP2aNKVFmaipKnArPqx0JlMIQNDFjKaUIKY3aKlP4AQPz8njfag+bt0jhdKyVq1ct+u2r1s7/h617jnjnv2PhKWHhdMsbHuiZrLS0LYOFnZ6Tn36nM2Xe0uf2rf/cnN5FKOVCkNAHhQSnqqmQxdRMKptJ2BywOWBxAourUinGjMp7kga62R+kIYFpLJmA6iT2W6bdw2TFPL5Mr4tXZRKcxvrq5o2rnjxmxFcm66FzSAhCQRCEBEFI4fsUXsDg+RReoJb96C8IaTx4jLEAx07YcJ2V+P3rl3xu5oy+pX2zpt75+CtvHXADbxENrsVuORcAqn9wy79s/9qPV33x9o8csn2Pfvbv7tvOnttBYRGuQM0A25JwOGAxEgd6EEXgQqF6JDY0qIT54yKVOpqlFg38ezwfYqSqtbHW6IYcS9Uai5mnQ7NTpI6SoRljRVpTII8DQDoNNvJ5CyAIo4b3qumr8kiFEiJUJ9Ftlm2LQYoQW/ttPNe/Llw8o+9/XfaekS+eNW9HWOy98M0HzQTypkQyT1Y2/dtd+PHffEBe/f4P/uSeu+9w3Bw7b+++Cie+B5uGyNmAawGuReDYKkhkMaL6ckfPpBjoepoGIuBF50gVIY8RydRRSmpup6Rhn8Rjo5rixOsjSzc5Vrp1m9lKTkdW45FEzaKdaPQONbSLjl91v3Ad6ZWxIU7izgKqSj4QFH5A4QUEfkARBEqjhyGN5tlH56EClDKAt2OUXlpfsPSXv3TB2rV/ctbZH5Mr13z4TMOmqbylNLgpF192DaQ8gk0vtn12/dpraFdp57rb7thAK5XqutGhAe5aHHmXwLJUY3lAJWwFAQBIhCFQl6o8SgjtLZCQNBoybfL0VBQkkYZAyQT8OMqrS2X7kSbqtZmNaNaWjnt8mfixU4+lzLH090+mSsu4IT6JnzZRIEcAnk9R9xXAZTQukDLACQiEULknLcW2QFB3c9ecq8W8zvmbCQ0/u233EJb0lc4kVMaVtyzAAYCQHr1489e/+T1cdvGq4sjI6N/t69/7i9WRI1QKD7ZlgUUZa6oFgQQQou5LhIKg7isNrrQjAYdKnYuf0voMBlDMomJC4hVNqYP+KGAYlLHBlj2J+b8Zy5mFCVMJDL6ie6fIJscnxrGS6Q8qn4QQCcGUy09IgrpPUK4yeH40dh4UBECZBGhvy2Pa9F7RNa33bjdX+I3y0L6R9p7zzjQ8JiVvaYCb8jsfuwZbt+0acV33UwcOzt/x4gvPLUc48v5jR3agUrMgYYFSoF4XoBQYGPHRfxzwJUPeknAYYLFIbxEZ5VoY+dFN8kyydIZMiPDkyRA3zRnj6RAfN/Un08A2zpeqojENZ8OAjg3JVP57pLUjcHMmYHGVLJVzQghBUO5vx2jFwXCZoO5LMELgBQEGRzwsXzIfHT2le2ctWLGlp3vK1+r1+kipc+6ZhsOk5RRCBGde9u/fD8tumT18/OWvHjvywvsf3bQT9aqHjpJ6zL52RKJcr2GgdgLbDzvYe6CIzpxEwRJwOMBZNMdHB4sYohk6ejl5r2fspHh4KohEkrpPYrRejubxMEpAWTKjhzOSnIM1zudpmigG2XAzsIhfM6pGn/NoTo/uR8OoatnBo3k9PPqzrRCurQaI7T7sYc8hhsHBqShXSth/JECl6qOQA9o7WtDeMw9nL1ty75pVS393cHh0b+/03jP905+0vG00uCm9vb2Q4sje7q6FN5VKwZ1WYekNo8d3rpf157Bl50GMVqZi1RILZy0McOePqnhhh4sW20KOpz0qOuuCjlUOFxuLaQMu7cKL2qNFK0XMHaQeaNH4eABSdCSdGWk8PTTdiZKi4i4CUDlRBIiz/szgPckeF8a5qATnIUotZTz1GMM//rAH58y2sWqRj+H6MRwf6cblK5di7eolj1Z8/rW5c+a9cOh4fe+82W8/cANvU4ADAKE9ALBDSrmjayq29L/qT8sXZvzts6+9NL/m72IWkyjlOXJWHVJZTWmqocu2oj8qE+PQzOVOPB3ROkqSUSIyqVpXozzUfpKag56i/WSs8pt4cIwuudH7xIY0Mv4kAXR6q9AVM5k2yjCPl8wgSlfQA4yGqPkWhkZs1GsExQLBr1+3KjxUOXeHJf3fPG/12oMAtp9KI9G3krxtAa4l+gG2y/Dwds8Lf6FvbrH3knUX3z186KetNTFQODzEkbMsuEwHiRQ1USBRxxAkU++ZAltCO0hEVUyurQuioXM6aGJYEilBhKIrMuPuIIaLkBo0RYPTDEZJo/sZjTL+KIWabUnUOSQ1c7YNt2AUjQwFAcBAAwHPZ6jWc+gsBJg+hWPe/Pnli961frinffRDR6oL9kuwvW93YMfX+Ux/gdMpoZCgBHRwqFZy5PNrDw953/z7f90bbHxib0f5xNGiTUM4XAAEqPtUaW6iQG9zwLYJXA5YluLKXPPv6FWDHVBaOQwBP5QIhZGrHnP5iHczHWGl4JxGEVcVjbU4It6s+XgESiiwhqEaYR2GSePM5KaI8uCjz1lcwrYEXDuEYwvYPITF1RxMIQkqVQZAopALkXMlOtpbR1hL38De4XP4wFD+Y++5YP4TtlsYAiB+XsCtf5OfO5HhDoAy2n9g1J295E/qz278iz+4/9+e/Mi2V3b5NqqLCfHdp7cPwfctFGwV6s87gGsT5Gyo4BGn0JOi4wGvkcFIidL+NU+g5gkEQQRwghjUjEHdJEyB2+IUlkVhcwLLivJouLq5FMAjAzECLgD4AUHVo6jWla/aBHQS4FHLjiXhOgJ5J0DODeHYPmyuXr3Ax+6DM5Fzndq0bvZyZ0+fNWXG2jsHXr3yL6pd/+oM1bpqjPpi1eLT33jnTMvbnqI0E8LmA8p+rGx9eQ9si99qcXbrZRcuY90dxb+yeHnh1J9tvfDfHi+zoF5BLQyBqgeLMVDKYHMKx1Zj74SQcckXpUQBlatwqRcEKNdChKGMPS+SJeaq5vuMSNUlKqIp6kZAPL1Yg5szCc4ToAcBwWiVoFxVx+NRL/k4WisAX9K4w65tEQACFHXkHAnOKFy3BYeHu8LStHM2Tukobidy5BOElEPKcuhY+KBsaeurnOnf642Un0uAm7Js8RwgoaeBlMd+A3Daz1m18s+peMTe9GJ/WMy555accNXQiWPw/Qpo3kKxwCGlxPHBEIQQ2Expb9uiaMlTtBUELMfHE9sF2l2CnAM4XANYeS5CqEdkSABmNKPXBRucIQYzi8Btc9VbPef6aMlX8eKuAo4ct9FaYCjkmWrEywksLgBIHB5Q+SLFfAiLhegoOWjr7EGxUP933689C3sRW7jsCg9W92cg6ifm9r5xTXbeivJzD/CsENIFACcA/BYA3PWvPwYI1tfr3uW1avlDMqwtsqgHv7wbVW8Uz7waoqcQokUyWIyAMwstOYmZUz1w9wT2HHOBzpzqvUjUhF4aeTgUBFUUlQkD4BSKM3MFajVPXvnmLS7g2CFaCx5mTjuCfSe6cPRoK2YzCddR5WNBECDnCEzvquGV1/KAzOOssxdhSpeD9pL9SrHo3s24/RCkfHR637vO9CU/o/IfDuBZue4D7wSAR48cG3gUwGNhEMwrjw6KLf9+SFC3ve+9ztQ/Kh9/DS0FG0ePHkGlOgrZCuSdUbhWGUFoww+AIJQIQgnOVEJVKIHQkwiomgRsG1eaRdmQOUeAs2gqndQeFAFKQjAagNEAg/UQx4Y8dJdCtLcApVI7uru74Vo+5s/vxPaBY1/ct29091kr19DurnZqWXwngAfzhfYzfWnfEvIfHuBaero6AOBB/f7AwcNwHKdt9msHN7+4xYLrMH/JkkW/Z3Hy7lJBYlpnGZWXHsDUzgJ6SgwtjgI3pA9GQhQLBFt2B7CYRGeRglMGx5IIOIMUEjYLUCp4sLiH519tQamFopgnsB0XoAJ+aGG04qO7vROXr7sUM3tstBU5XIc8XKvVvsJZaJW6l+C3fm3qo4HvDba0dp3pS/iWlP8E+BgyfdoUABgE8H0A2H/gIAC8DCmmWByi4FaQ27MRxbyFlhyBa0nU655/2SVrPs9J9crpXXUfrR5sYqGzCLQXOQp5BotTtOQlOlsDdJZqsKxhvHykE70z8tbMabn7Du9/6vOE2FYoKTy/gFJLAeeftxxdbQ4ci1Ju0cOQ2N3RNfVMX6K3hfxcugnPlDzw0EaAkCnl4WOlGT1lef8zHmy46GyRKLUw5FwGxggKLtBeDNDRWgO3BnHfxk4smVMkfbO7h6SUh2fPP/mR1f8pzeX/A/AaiPh9RIKSAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjEwOjMxKzAwOjAwSuoRIAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMDozMSswMDowMDu3qZwAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 141209000
{'hecke_orbit_code': 13511073793573305, 'n': 1, 'trace_an': 2}
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id: 141209001
{'hecke_orbit_code': 13511073793573305, 'n': 2, 'trace_an': 1}
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id: 141209002
{'hecke_orbit_code': 13511073793573305, 'n': 3, 'trace_an': 0}
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id: 141209003
{'hecke_orbit_code': 13511073793573305, 'n': 4, 'trace_an': 1}
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id: 141209004
{'hecke_orbit_code': 13511073793573305, 'n': 5, 'trace_an': 0}
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id: 141209005
{'hecke_orbit_code': 13511073793573305, 'n': 6, 'trace_an': 0}
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{'hecke_orbit_code': 13511073793573305, 'n': 991, 'trace_an': 24}
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id: 141209991
{'hecke_orbit_code': 13511073793573305, 'n': 992, 'trace_an': 0}
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id: 141209992
{'hecke_orbit_code': 13511073793573305, 'n': 993, 'trace_an': 0}
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id: 141209993
{'hecke_orbit_code': 13511073793573305, 'n': 994, 'trace_an': 0}
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id: 141209994
{'hecke_orbit_code': 13511073793573305, 'n': 995, 'trace_an': 0}
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id: 141209995
{'hecke_orbit_code': 13511073793573305, 'n': 996, 'trace_an': 0}
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id: 141209996
{'hecke_orbit_code': 13511073793573305, 'n': 997, 'trace_an': 0}
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id: 141209997
{'hecke_orbit_code': 13511073793573305, 'n': 998, 'trace_an': 36}
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id: 141209998
{'hecke_orbit_code': 13511073793573305, 'n': 999, 'trace_an': 0}
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id: 141209999
{'hecke_orbit_code': 13511073793573305, 'n': 1000, 'trace_an': 0}