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mf_newforms • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 11, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 5, 'char_parity': 1, 'char_values': [462, 5, [155, 199, 211], [5, 5, 1]], 'cm_discs': [], 'conrey_index': 169, 'conrey_indexes': [169, 295, 379, 421], 'dim': 8, 'field_disc': 20164000000, 'field_disc_factorization': [[2, 8], [5, 6], [71, 2]], 'field_poly': [5041, 0, 781, 0, 76, 0, 6, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [3025, -550, 790, -370, 156, 28, 9, 2, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525815900438990, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 11, 3, 1, 5, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '462.2.j.h', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'minimal_twist': '462.2.j.h', 'nf_label': '8.0.20164000000.8', 'prim_orbit_index': 3, 'qexp_display': 'q-\\beta _{3}q^{2}-\\beta _{2}q^{3}+(-1-\\beta _{2}-\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c5', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '462.2.j', 'trace_display': [2, 2, -2, 2], 'trace_hash': 978808661435903543, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.062', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.830', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.550', 'prec': 17}, {'__RealLiteral__': 0, 'data': '196.433', 'prec': 24}, 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mf_hecke_nf • Show schema
Hide schema
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0, -2], [-27, -4, -13, -13, -4, -1, 27, 1], [0, -3, -19, -11, 0, -2, 19, 3], [0, 1, 6, 21, 0, 8, -6, -1], [-25, -4, -15, -15, -4, -9, 25, 9], [-5, 0, 5, -5, 5, 5, 0, 4], [-10, 12, -10, 0, 6, 0, 4, -6], [0, -6, 0, 18, -2, -6, -18, 0], [-40, 2, 0, -4, 0, 2, 4, 0], [-10, -7, -10, 0, -3, 0, 6, 3], [-14, 0, -6, -14, 8, 8, 0, 0], [-5, -6, 0, -15, 0, -6, 15, 0], [-35, 0, -12, -35, 4, 4, 0, -3], [7, -8, 3, 3, -8, -1, -7, 1], [34, 0, 34, 0, -6, 0, -26, 6], [0, 2, 18, 18, 0, -8, -18, -2], [7, -1, 7, 0, 6, 0, -11, -6], [-9, 6, -9, 0, 6, 0, -13, -6], [0, -1, -8, -7, 0, -7, 8, 1], [-17, -2, -17, 0, -1, 0, -16, 1], [-17, 1, 0, -5, 4, 1, 5, 0], [-7, 2, -5, -5, 2, 1, 7, -1], [27, -1, 0, 18, -4, -1, -18, 0], [2, 0, -13, 2, 5, 5, 0, 3], [0, 3, -18, -29, 0, 1, 18, -3], [-6, 6, 4, 4, 6, 4, 6, -4], [16, 6, 0, 0, 2, 6, 0, 0], [9, -6, 3, 3, -6, -7, -9, 7]], 'char_orbit_index': 10, 'field_poly': [5041, 0, 781, 0, 76, 0, 6, 0, 1], 'hecke_orbit_code': 31525815900438990, 'hecke_ring_character_values': [[155, [1, 0, 0, 0, 0, 0, 0, 0]], [199, [1, 0, 0, 0, 0, 0, 0, 0]], [211, [-1, 0, -1, -1, 0, 0, 1, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 383471, 383471, 383471, 383471, 383471, 383471], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [1, 0, 9, 1, 0, 0, 0, 0], [0, -8, 0, 0, -8, -9, 0, 9], [0, 0, 17, 82, 0, 0, -17, 0], [0, -17, 0, 0, 65, -17, 0, 0], [-218, 0, -218, 0, 0, 0, -537, 0], [0, 0, 0, 0, 218, 218, 0, -755]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0], [-40328, 0, 44034, 0, -537, 0, 17, 0], [-20519, 0, -12835, 0, 4833, 0, -153, 0], [0, -20519, 0, -12835, 0, 4833, 0, -153], [0, -461926, 0, -49075, 0, -4078, 0, -585], [-139302, 0, -17876, 0, 218, 0, -721, 0], [0, -139302, 0, -17876, 0, 218, 0, -721]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 8, 'label': '462.2.j.h', 'level': 462, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1848, 'analytic_conductor': 3.6890885733831538, 'char_conductor': 11, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 10, 'char_orbit_label': 'j', 'char_order': 5, 'char_parity': 1, 'char_values': [462, 5, [155, 199, 211], [5, 5, 1]], 'conrey_index': 169, 'cusp_dim': 352, 'dim': 48, 'eis_dim': 64, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 618508845518, 'hecke_orbit_dims': [4, 4, 4, 4, 8, 8, 8, 8], 'label': '462.2.j', 'level': 462, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 7, 11], 'level_radical': 462, 'mf_dim': 416, 'mf_new_dim': 48, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 192, 'trace_bound': 3, 'trace_display': [0, 0, 0, 0], 'traces': [48, 0, 0, -12, 0, 0, 0, 0, -12, 0, 32, 0, 8, 0, -16, -12, -16, 0, -16, 0, 16, -4, 16, 0, 24, -8, 0, 0, 0, -16, -16, 0, -16, -16, 0, -12, 16, -8, -16, 0, -16, 0, 80, -8, 0, 0, -16, 0, 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0, -28, -56, 56, -48, -184, -64, -32, -40, -8, 16, -56, -80, -8, -56, -208, 24, -72, -192, 56, -4, 176, -80, -88, 40, -8, -48, -8, -16, -172, 8, 160, 24, -56, -40, -80, -56, 16, -216, -64, 24, -16, -32, 48, -72, -104, 48, 48, 0, 148, 144, 72, -8, 64, -152, 0, -72, 0, 88, -288, -16, -48, 28, -40, -12, 16, -64, 32, -8, -64, 16, 216, 128, 0, 152, 32, 0, -340, -24, -136, -4, 176, -16, 48, -40, -68, 24, -304, 0, 80, -64, 24, 48, 184, 8, 96, -8, 0, 16, 408, 24, 84, 80, -208, -8, -112, -16, 56, 24, -16, 96, 48, 24, 80, 192, -16, 144, 104, -8, -40, 104, -8, -32, -56, -32, -32, 8, -32, 0, -240, -80, 136, 0, 16, 88, 216, 0, 24, 176, -48, 16, 232, 0, 96, -16, -40, -40, 16, -56, -208, 88, -24, -56, 128, 0, -112, 48, 72, -224, 304, 0, -184, 64, 48, 28, -40, 16, 104, 8, 256, 96, 0, 24, -8, 0, -152, -40, 208, 32, -72, 160, 64, 40, 176, 8, -92, 96, 56, 16, -64, 0, 80, -8, 208, 88, 120, -32, -52, -136, 8, 32, 120, 96, -104, 80, -64, -88, 120, 0, -88, 64, 80, -8, -272, 32, -112, 0, -12, -80, -136, 16, -160, 56, 24, 40, -168, -48, 48, 8, 0, 72, -112, 0, 104, -88, 176, -32, 64, -44, 104, -16, 24, 256, -184, -4, 16, 144, -168, -16, 168, 144, -16, -24, -52, 232, 40, 0, -208, -64, -48, 20, -24, 40, -8, 48, -24, 168, -88, -80, -80, 80, 8, -12, 376, -104, 184, 56, 136, -56, -96, 16, -96, -56, 88, -104, -224, -16, 184, -32, 40, 256, -168, 0, -140, -16, -40, -16, 24, 0, -80, -16, -8, 44, -160, 16, -168, -32, 0, 152, 80, -48, 320, -16, -168, 32, 40, -24, -16, -24, 32, 8, 24, -40, 16, -96, -24, -200, -344, 0, -52, -144, -72, -80, 24, -48, 32, -64, -220, -72, -160, -48, 208, 96, -32, 64, -192, -176, -192, -136, -32, -80, -96, 0, 20, 64, -96, 56, -320, 16, -120, -8, 24, 32, 96, 0, -112, -64, -272, 40, 304, 0, -368, -56, 80, -96, 96, 72, 120, -240, -8, -160, 0, -72, 264, 0, -40, 160, -336, -36, -224, 272, 32, -72, 264, -64, 80, 72, 0, 16, -304, -8, -120, -64, 88, 120, 88, -8, -8, -16, -72, 48, 800, -8, 72, 104, -8, -24, 224, 168, -16, -96, 48, -192, 136, 32, 200, -16, -48, -72, 24, -48, 64, -24, 32, 96, -288, 0, 200, 64, 176, -24, -168, -16, -216, 272, 112, 64, 96, -16, 240, 32, -8, 32, 344, -40, 240, -32, -64, 32, -72, 0, 16, 80, -176, 16, -56, -160, -8, 0, -44, 60, -336, -4, -240, -96, 56, -56, -416, 40, 432, -32, 64, 32, 344, -32, -112, -16, 40, -144], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 337002
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '462.2.j.h', 'source_level': 462, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '462.2.j.h', 'target_level': 462, 'twist_class_label': '462.2.j.h', 'twist_class_level': 462, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 337003
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '462.2.j.h', 'source_level': 462, 'target_char_orbit': 10, 'target_dim': 8, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '462.2.j.h', 'target_level': 462, 'twist_class_label': '462.2.j.h', 'twist_class_level': 462, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 337004
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 5, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '462.2.j.h', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 51, 'target_is_minimal': False, 'target_label': '5082.2.a.by', 'target_level': 5082, 'twist_class_label': '462.2.j.h', 'twist_class_level': 462, 'twisting_char_label': '11.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 337005
{'conductor': 11, 'degree': 4, 'multiplicity': 1, 'order': 10, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 10, 'source_dim': 8, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '462.2.j.h', 'source_level': 462, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 56, 'target_is_minimal': False, 'target_label': '5082.2.a.cd', 'target_level': 5082, 'twist_class_label': '462.2.j.h', 'twist_class_level': 462, 'twisting_char_label': '11.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 924625
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 2}
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id: 924626
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 3}
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id: 924627
{'charpoly_factorization': [[[3025, -550, 790, -370, 156, 28, 9, 2, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 5}
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id: 924628
{'charpoly_factorization': [[[1, -1, 1, -1, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 7}
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id: 924629
{'charpoly_factorization': [[[14641, -13310, 6171, -2090, 641, -190, 51, -10, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 11}
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id: 924630
{'charpoly_factorization': [[[26896, -36080, 24104, -9080, 2636, -460, 74, -10, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 13}
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id: 924631
{'charpoly_factorization': [[[81, 81, 36, 6, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 17}
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id: 924632
{'charpoly_factorization': [[[2401, -686, 2548, 910, 366, 20, -3, -2, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 19}
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id: 924633
{'charpoly_factorization': [[[131, 20, -57, 0, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 23}
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id: 924634
{'charpoly_factorization': [[[400, 1200, 11360, -3800, 2536, -112, -26, 2, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 29}
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id: 924635
{'charpoly_factorization': [[[32761, -31132, 45922, -13780, 4536, -280, -27, 4, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 31}
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id: 924636
{'charpoly_factorization': [[[1771561, -1437480, 667731, -198780, 40756, -5460, 506, -30, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 37}
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id: 924637
{'charpoly_factorization': [[[25110121, 13018578, 3348677, 499500, 60346, 5250, 408, 24, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 41}
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id: 924638
{'charpoly_factorization': [[[-604, -540, -48, 10, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 43}
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id: 924639
{'charpoly_factorization': [[[99856, -72048, 52992, -15720, 3256, -240, -2, 6, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 47}
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id: 924640
{'charpoly_factorization': [[[64320400, -27428400, 5996160, -822720, 85336, -6864, 466, -24, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 53}
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id: 924641
{'charpoly_factorization': [[[6948496, -495568, 138272, 6120, 2696, -720, 158, -14, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 59}
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id: 924642
{'charpoly_factorization': [[[355216, -207408, 249968, -16896, -1520, 264, 138, 12, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 61}
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id: 924643
{'charpoly_factorization': [[[1516, -224, -74, 6, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 67}
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id: 924644
{'charpoly_factorization': [[[774400, 915200, 469440, 67520, 16656, -2064, 156, -4, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 71}
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id: 924645
{'charpoly_factorization': [[[4648336, -5372752, 2099552, 561960, 101096, 10320, 758, 34, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 73}
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id: 924646
{'charpoly_factorization': [[[383376400, 41509600, 11990760, -22960, 7616, 608, 324, 22, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 79}
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id: 924647
{'charpoly_factorization': [[[698896, 324368, 82768, 10496, 9280, -584, 98, -12, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 83}
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id: 924648
{'charpoly_factorization': [[[-4895, 1570, -9, -22, 1], 2]], 'hecke_orbit_code': 31525815900438990, 'p': 89}
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id: 924649
{'charpoly_factorization': [[[400, -1200, 1360, 240, 416, 72, 34, 8, 1], 1]], 'hecke_orbit_code': 31525815900438990, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 10, 'hecke_orbit': 8, 'label': '462.2.j.h', 'level': 462, 'portrait': 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BhGHjs3J/jKkGhBkgUsrkqGkU/gCYTRzE1pNkxmLK2GrA4Fo9RneSDYPKlZ7GpOnFc0/IDNM7B9LmbT7IiNsxGbZyO2bzJcvFlx5UU+TdXm6IkJvvp0wKMHUp48npCpHt/+0i5vebGhqWY5cHyKo2c8Tl/IOJeD+9CC4ear5/m371jmog2TnJ6f5vxSg4Wuz1JXstzLWO1n9EeCA8cWOXiye+VTh+ZfduTU+Z3Hzlz47G2veWt8350f/mZD4uu6/b1m8MWlLnFqUJLfuO+xIy/+xd/9qHzbbYde/C+/65S30N3IUneCxZUWi92AhRWPxa5gqZux1E1YXMk4twKHFwVzG1b41R9Y5JY9LU6en+HMhTZnFjzOLxrOLaScms+40EuZmhnxkmv7vPAKCGSTUIWcX2pwdsHj3JJgEEGaahqBpt3ImJ5M0cDxcymrfdixyafdjDBGgAjoDzUXb45YXPHAWCmy0ocoBYNhqRuzbaNPb6gQyiB0xETD5+ItI1YGguNnPDLtMTsh6TQEoQ9pKhhEknNLkrOLhvPLKWE4Aj/ltqv6vPhqwdxEk8XlCU6eDzmzAOcXUs4vpZxegsOLhpuuWuDXfmCZzVMTnDg3w/mlJheWAha6kqWVjKXVhOVuxlJPM9+TnFqF7nKP3/6XUfr9r2neH8z9hA7aV9wvhP5FY3yC8O9vdvTvLYP/0Z99hJe/5Eb+5f/vX/36X37ki//y3R/4wqXPnljZefhMT77kmj67t2jSzEcbidESbSQYCUhAIDAoaQglnFls8uAhybW7l7jiohGtBvieJPAVQeDRbkpavmTQ99l/rMHnHg04fiFiNU3YfzJi0+wSb3rJMtde2uOmK7ocW0hZGAha4YgjZwzd1TbXXCJZGWXsPabotDyeOQ6XbTWM4oxRFuB5CdMd2HcyRHkZvkzxfBhGkluuGDAcSK69NGN1mHH8TIddmxXtVsxKZNg4NWC5v8qHvgiPH8148uiIHVsXue7yVaZnYt54W4/vfrlh9+YOWTLF0dOTHD7lc/Kc5tSFhFMXMg5fEJxYSXjBnnl+9Qd6bJqa4uS5Gc4vtVhYCVjsSpa7GSu9hG4/Y6VvWB4Izg8Uy6sJt1y5wM/8owuy6ZudC+eP74qi5NZG+5Jmoznz+Wcf/Rt+/48/+M2GzLq3v5cM/oG//htefONF6hOf3/9/Hj527t889sxxNb8Ssxh5nBtqrttxnt/+qQvcsLvFuaVpFlfaLHUbLK36LHU9lnuw3M1YXk1Z6qUsdOHkssBrjnjR1Ut8z8tjdm1ss9Kf4MJSk/mlgIWuYKlrJcJyT7M61KxGhsEoZXYi4eJNGhCEvuHUBR8hQ3ZsVOzaati6ccD55YgnDna48TJDq7nM04dm6LRj4thndlozHMGVF4/4wBenuPyilCgybJiUJNmQTiPkmWMjmn6b6/ekPHkk5vxiwLbZkF1b4OLNMUolnFqAwDcIYdixKWW6I+kNQ/oDn9WBz9KqYmkFFruapW7GQjfjXBcWRxkXb+vzPbcv8KIrPBr+BGcXJlhYbrCw4rG0KljualZ6Ccu9jJWeYbEP5/qScysZt15+jnf91CJ7trdY7E6w2g8Zxh381qWZH2799fO9q35tqnEse/Ht/+ibDZ01t79XAD9w4ADNRqN5+vSpix95/Jm3Hzpy+t/vPXCSUaIYxILuSHBhKDnXS7jpkvP8x59a4rpLmlxYnmJxpc3yqgX58qrH8ip0e5qVXspyL2Vp1XC+KzjTNyD6vOWlXd54i+aSLQ3iuMVyt8FKP6DbUyz3Bb2BYBQZ4tSQZdjVwIdmaJiaMGycSfD8EYfPxjx1KESnbV5/a4znr/DI3kl2boFPP5jy0mtCLnSHNDxFmiXMTEOa+Hh+yuJii5fcsMqnv9Jh1xZ4+GCET4vX3aJJxZCnDmccPdXAkwGbpj2m24JmKAgCgRKQaogTwyiG3sCw0tf0BpqVgWaxbxhmGTu2D3jjC7u85cUx6A6LK5NcWGqy2PVZWvVY7sJKL6PbT1npZaz0NUt9wdmeYn415aY953nXT81z1Y4GiytTrPRa9AYBvaHPak/gNS4iaG755U3brviv27dvOzEajYaX7dnzzYZSeft7A/Bjxw4xNzcXHDp46IcPHjz4Bw898riYX+zL4UjTH2n6I0NvJFgZCS4MJOd7MbdcNs87f3yRGy5tsLBSgDxkpRew3PNY6Qm6PWOX3F5Kt69Z7hsu9ARnu5rpqQGvuanHbVek7NikmGj6rPYahL4EFHEq0VqgDQxGgNBMd0YcPG3QJuauh9tEgyaXbgt40bUDEr3CPY9Ocf1lPgfP9ekuT/DCawd8/pGQTTOGvccN/+zNq+w9FrJpRvK5RxUvulKxNFjlyMkZrt8Tc89TQ9KoxW1XBey+aMQw7XPnIwoyweFTHhMtD0/AYCjRRpBpQ5ICUuMFmm7f0O4kXLQl4sVXDnjNjSmz7QbnlyZZXGmyvGqPzfKqoNuHbi+l20/p9jO6A8NSX3KuL1jopdx6+QV+/ccXuO6SkIXlSVb6bXr9gN4woDfw6A0Vq31BnDX0JZdea3bu2v0zl1y6+32L8/Px5Zdf/s2GFPD3BOBZmsg4Gr7psYc+felKL3vXgw8+4g8jWxs9GKUMhprBSNOPLMi7Q8vkZ7spt115gd/48Xlu3B2wsjrJ/HKHbr/BSi9gpe/R7Sm6A+j1DauD1LoDQ013YJjvC+b7kGQR1102ZPNMRn9geMMLI3Zu1qSZxJOGOIG7n2hw4kKDLdMpTx9ugG5xxXbFDZdrwsaARw4OmF9oc/XONhNTy3zlSZ+bL2uwOFhheXmCzZsND+5V/ONX9nlor8f2jT4L/S7LSzPccOWArzydMdOc4upL+1zodnnw2SmaXpubLjfsuXgEss8TRwUbZxLOzyfc84TPKFFICZk27NwS85oXxvT6iq3TmhsugzhusdRtsdQNWen7rA4U3b5ktQ+rA+uU9AYZqwPNysCwNJSc7gq6o4gX7Znn135smZsvCzm/NEW332S1H9LLs8K9oaI/lPSGIv89CdffcHOSavVz3/PW7zjUaTc/6fu+/mZj65ueyUyTPlk2+IHzpx767aUL+2dOn11hoiVRSiCEAUCQIgQIoZHCalApDUp6PHRgE7/4Ho+3vGiJ733lEru2xZxbnCAMmjTDgFbo02569JqSztBnsu0xGGX0hxmbIs0wMvRGIUvzDU6dNMSp5vS5lDA0gCBQBk8KBkOFwCcdeLxgp2D3VsPF2wZEWY/PPKTYd2ia194YcsOVy7z/M4ZAtNi5bcCTX1Fsm1JsmBjQUE3ixOdCD9oNj+2bBI/vi7lhT5OXX7/An98xJPA7vPpWgx8O+MKDMZ9+oM2zR5tcsrXFzi0Zc9MxuzYkXLMzQymNpwxgaIUhc1MhceLTGwQ8fdCnP/IYDBX9kaQ/hP7I0B/Y794bZvSHhtWhYWUI8wPF+WVDa6LLz75hnn/0oojrLmlzdqFDt9+kNwjzkgdl7yNJfygYjAxRbEngS/c+6Lc6s789u+HBpVfffuv/sbI6+POpidb/ugCP4wHG8GPnT97/GycPfm4mHg1oNsLcZsM+ohCAEBlCgJQW5J4weDIjkJInD87x2IE2B85c4M0v7vPiq0ZMdSZY6rZorzaYGAb08yW1P5IMRx6DyGMUGUaxJk4MSWJIM3uP0wCjQSqB7wkagWCqI5juwOYNmu2bBmyY7vLZR+Dex3yknuS1N/q84Ioe9z2bEI8meNELBN3hkAuLbW7bo9kwNaDphYxSxfxqgtKCF+zxaHUiHt3f4GU3TPLC63o8ul+BmeTGqwJ+9NuX+PzjMZ97qM3eEw0unlNsnmky3Wkx2YFmCL5nUBK0gb1HBVkmSFJBnEKUYL9jlDGMNKPIroSDSNMfwmoE833JhR5EesSrrl/iTS/u8v2v1qTpBOcW2vQGjVJzV8CWDCIL7uFIMxxljGLNcKQ5c+EsJ899dmYY6f/7rd/xMq/XG7yn0/nmgfybBvA4WkSS/ujimbt/48LxuzZmaZ9WGGKMxhht7T8ECIEQCiEFUoCSAiU1Shk8ZfCVpukLFgZNPvjF7XzhsVVees0K73jVCtfs6jM71WJxpUVvGDIY+jmwlb3HgiiRJKkgTe1Sb2u3bFDpedAIoNXUzHQStm0ckNLn4OmED93T4MjJNlNhk5uv8rjt2lUePNDlrq9OcOtlDS7eMuADXxQoETLRSVjpR2gDSsDcxIDVXoBOm7zppRf44Kdb7D7f4I23DoiTRe55apYka3DLVRt5482rXHZRly88OuDJky2eOBqwfUYyMyFohYLAtxehFCCEQRvQ2pCk+cWaGKLEXsijGIYx9EaC5Uiw1APhjbj+8hXe8ZoVXnpVxuxEg5XVNis9y9r9kc9g6FlwR5LBSDAcCQbFhTPKGMaaUWSIEjBCcX6hy/s++LmNo4TfePt3vNicPb/0Z1s2zfyvAfD0wrvojrYTLf7ND0bD0bu6F57eIEyXMGigTUZmBNoIMFhZgkAKgZQSJT2kylBK5MuzxvcMoWdoeoLlkWKxO82H727zwNN9XnTdCu949QrX7+4ymzVJ05DBqEF/6DOMPOJEkaSSNJNk2v5dgUEKQxhoWo2UMIgJ/IjTixF3PCw5dCrg6KlplA7ZvSXgyl2KG69YRYXzPHW4w7apFldfApvnlllaneCabZJUGz77UEg0kEy1U153y4hP3pNw4lyHyy/1Obsy4pkjPhdtmua6XfPc92SPrzwjiOKAK3bNcMVFIVds73H47BKHTsND+1ocPNKm5QlCT9IODQ0fpLRBlTH2Yk0ziFOIM0E/EqyOBKsJxDpFmxE3XbbKO16zykuvydgyEzIaTbLYbdDrh/RHgQX2SDEYKYaRYDiSFLHRMMqI8pVhGGuGsWEUW5BnRnHiXJd3f/CLG584fOFdjXYr/ZU//OT7nzk0z4d+64f+4QL8//fO96Lmfp/k8Pd+v5cc+t109dSUJwKaYYgUaS5J7E1gLHMLiZIyZ26FUgJPaTyV4XuCwNMEviH0Da0gY6oh6EU+y6vTfPTeCb74xIhN0wPefnuXKy4aMRr2uXqX4aLNiijxyTJVpvkFBik1vpdx/Lzh6DnBylDziftanF6YxsQ+0w3F1lmPHZs9LtkGV+9eRcsF3v3JNktLk9x6hcfVu7t84QmBSH02TkvarZRBEiDzZJTyArojwfklwVWmxe039rj/0SZbNwTcevUMP/LtC7zv0z0e2t+mP/JZXOmwa2uTy7cMuGVPj+96WY8zS0t84r6QxUHI8bM+p08H+MoSgUCgjSHTkGhDlmqmZxOuvWpAFCVccVHEW2+P2DipmOmEJEmDs/MNBsOAQWRXuWEJbGnBHQlGEXYliDJ7jzWj2FhwR4ZhDMNEMEgEkfHYf3qVpz96/4ardm/+3RfeuDX50G9t+atzR36HzZf8i394AP+JX/sA7T23i3f8vHnbtvYzf/o9L326de0lPlIahBQUZcdCGLAS3DK4BCVBSYmnBJ7KHz2B72UEniDwNQ3f0EwMrdgw2ciYbgoGsaQXtzl6qs07/2oGdIpIU268dsCuzTFpCjqXRBQrhRJ4fsD+EwF7DzVoNzw6gWRDSzA3K9k447F1TrFjS8blO1bIxCK/97EJjp+Y4tY9PlfszBimPb76VMhU02d20jDViWk1rRTSWtIdKZb6hsVuRrff5CVXr/Dw3gH7TiimJhrcctUUP/6mRX7/4/DooTb9oWGl53F+aYLNG1psnB6xY3bEv3rbgIlWlyePwv6TEt83KGUQwtbjYCybpyns3JzxomtSssQnSUOMaTGKfc4tBAwju6KNYlXKt2EsGEWSUSwYRhDFVpJEsSaKtQV3YoE9SnJwxxbcvViwkkj6qSYbjkj6j019x41n//R3zl+c+htf/eH+md817a3//B8OwH/5t/6aay6eUZ979HNvOXj03Ps/8NC5xpP7JnjnT3e54mKDkhopNEJohAyQwqAKp0QZPKXwlMHzZA5sQeArIl8SxZowzogSQzPRRIkmjg0TKUSJJkohTgWjRBJlIUnWYN+hNk/sg8wYLLStNvYlBMrWfHRCuHoLTDRhsi2Z7ihmpzw2zsDFmyO2zK2QmCV+72OTHD4yyQ2XKC7ZLtm9fZkvPZNyfnGSG3dJpic0jWBIKEOMEqSZRBhDmsUs9xucX/S54YomL9jT475HG2yaFrQaHW7Yo/nZtyzyux/XPHO6w0pfs9JTzC97bJhqMz3RZHpikolWwlw7YccNMaGf4nspSmXI3IEy2IsqSRQX5j2SVJGkijhRREn+GEuiRBLFklEsiWJhA9RYEMXGgjrRRJE9zlFc6fooscAeJjCIBb1UsBxLBnGKiYa8YOcyv/GT87z66rOtUY/3r/a+rJeH133szP73Zlsv/5FvfYD/63d+CBk01P17z7/15PFzf/7osycbtDp85kHwPfi1H+9y5UXaglxqC2phga2kDSQ9ZfCkwvNMXkMi7EnwBVGgiBML9CQxxGlmXZHUuWeQZoYs02Qaq7c1JbiFsKuEJ8H3IfQEjVDQCiXtlmKyJZmeFGycSdmxeUCnvcLH7o+556kZVhYmuPZixY4tPpddNCITK3z2oRZt32NuWtFpjXjqMDx7xOOaiwyDSHHdZQnX7jacO5sxvxwwHLV4/c09vvzkkIOnFe2mJAwmuOYSza/94CJ3PzPkk3dvYHHVsGNjxnLXY2pCMdn26bR82k1DI9SEgSb0Mjxl8mNpz4Ex2ISVFqRakmaCNBUkqSROBUkiiRLrvMSJIE4McQxRkhEnmtghjqgIWhPKi2CYwCARrCaSbgrDKEYmA67fucyv/sQSb7hFszpoMxwdaSRy4i/areCHGq3Jj8wf/dNsbtePf2sDfNLP5LC/8r0HDp/+oyefOdaYbPp0E0jEBH93vyCOFG99RY+3varP1ESKN8hQMkOp3Of1MnzPw/c8wlgx8i3bxL4kCgRxIuzJSRRJCnEirYOQVrZfmmmyzLoLmcmdktwtEUIgpXVnPE8QeIIwkDRCSbspmGgZpjqaTTMRc9M9UrPCh78sed+nZ9nYaHDtxYKLt/js3KrZsWWZj33VsLTU4IrNiukJ6LQSzh+TXFgOCXZBlAjmJiVTU3DwqGF5VXNuocFlOxu88sYed9zbYLYDYRCg5BTX7Bb8xBsv4MsL/N190zx7usGm1YSNUymTbUWnqWg1Jc3QIwwg9MHzLClIAVI4IMde2JmGLBOkGTnQIckMcQpJkllSSDRx/hglmiSBKLGlC1ECowRGqWCUCHqJoJsI+okhiSImwx5vf/0ib7+9z2tuMKwOWgyjBlESEkWHG8aIPx3Fuz1D8NdYnvnWBPif/PnHyTL9g3d/5dn/eOTwyYl2Q+FlNoHSEz6x6PDZhzy++kyDs8tL/LPvGjI9kdAIW6z2MzwvI/B8fM/H9zJi3yNIVA5wm0q3jCMsE+WslKaQZJBl1knQ2gZcWpuihzMHtwW4DVwFvmcB0gih1dB0milTnZS5qSEbple4f1/MX9zVZP/RKXZO+uzeDNs3B2zfBJdfvMogXeXBvRM0lc/ctGKqA1OdiOnJlCDwEMJeXMMoYGk1YWVg6PZTLiwHXLy5wwuvuMBdDw3Yf3qCVpjgqwAhJtm9TfFPXr3ATZdf4C/u6vDg01Ms9j02TqRMtVJaDUmzoQh9QehLfN/GKkqR24cW5Qbbw6o1JdDTTOerW24tppo0s+BOE4hTU90T68oUwB4kVpL0UhgNU3Q6ZLbV459+9yL/6vsGtBoB3dUmozgkTgLixCfViqX5kxMyDH+vNf2C4OBTH3/fZde++VsP4AuLXZRSP/Z7f/rR3zhy7NRsOxSk2iYlpABPWJAPJxQrI4//+KGAvYeXedPL+tx+fY9NG2J6vSbDKMD3A8LAJ4o9wsTae3FgAZ4kkji1y26S5p52Rm79kTO3RBsqcNtrLGdu8JRNmAS+oRFomo2UTiNleiJiy4ZVzncH/MEnfD778AxLy20unRNcvFGwbWPA9o2CXVtHeMEKH7zH48jJNns2SaY7ksl2hpQRp+cNoSeRefIqTjx2bFzlITJWB4rlVcP5pSZ7tjf4rtu7fOQLAcfOh/heghA+2rRJUsmNu5bZ8X2rfPbRAR/47AyPHGuzbVqwoZ3RbmQ0AkHoCwJf4nsCT5FbrKKsyTDYi0wbrNOSWcAXIE8zK+ks2CHObK1LnAqiFKJUMEqhl0p6CQwTTTaI2L5hlZffsMJ3vmzAG27O8EWLlZUGcRIQxT5J6hMnRQwgSEenZ1sTu9616+q3qiRaeY8fTn3rAHxxaYUw8H7kbz55z2888NAzG6UwhJ7A01h9LcATBl8K/FQyEE26ic8Hv9Tg7id73HDFKt/36gHfdmuXDZMBg1GDYRwQ+vZARfmBihNFmiqSTJKmkiQTpKkkywSZFpXW1oJSleT+uhRYnZ8niwJfEwYZzTCl04zYMNVnmAz5wlOGD31pkgefnmI68Llmm2HLjGTTbMDWOcn2TTGXbFvmyWNDPvHlOSaVx9ykYKItmGgldAcZn/5qg05gEMICaxh5vOlFEZ96wNbEdPuaC8se2zd2ePOL+zy4r8fegwHtMEVJYUGuW4xiq/X/ySu77NlygQ/evcpXnp3ixHKTzROCyYahFWganibwwVPCEoosmByK8iOdSzWtqxUuzYFuCQKSTJBkeVY0EwxTe+9lEMWaNI5pN/u8+bXLfN+rV7lhT8amGY/hsMNqPyBOA6LYI0nze2LPVZaTz8K5ZzYGrS2/sW3X7Xo07L630fzGN058QwG+vLxCt9dHSfEDd37+y791x6e+MDvordAKpWWJnMHLgC6FQEJDCvrKZ+grTq0GnHmgxQNP9fnINT3e+qoBr3vRCjOTAXEcEiU+ceLnB8wCPc0UaZYnbLIK4NrkzK0df12YPKjUuTOjCfyMMEhohjGd5pCMIZ9/VPJXX5zi6aOTiCRk57Rhy5Rhw5RibiZg8wbJ1rmEizevcnK+xx9/sk0aNdm+XTDV8Zhow0QrQfgxq8M2Ux2DEAJjIEklM6Ei1Sm9JKA3yFheVZyeb3LVJR1+8jtWeNdfhxyfb+OpJL8wPNK0wSiWbJ4NufHSVa69pM8zx0/zoS81ueuRKc50m7RDRSeAtm8IPIOvwJP2uAtRr67TgNH2osu0IDOQZsL655kgzmySaJgJhhkMU0OapugkYrYx5PWvWuHtr1rlpdekTDY94qTNctfWwySJZew4VSSpZ4koT6ql+fnpD3ss9+7e2B/5v7Vz963p4vyZ/xI227Tb3zigf0MBPhwOmZpof+dXvvrw73/6M5+fiEZdJtqKLCv0niGVljm91ILcy8CXhrA4kCpkkPpciBr83YNt7nlmwC2f6/O/fXePKy9eZeOUYqLlWU2X+qRpBfKsZAfb4WMMeZ9mAW6QokjzazwvJQxSfBWzOkyYX034nY81OHphmkf3TmF0wGxTsHGDYcOkYHZCMTvls2lWsnk2ZdvcgNmpZT77mOaRZ6e4drtguiPptCQTLU27GSP8iDD08JT9+8ZAlkmGkcdwlJBqQW+o6fUNS6s+5xYnuO3yPi+8aoUPfq5Bc0nhycQC0nikWUCc2B7PDVMNbtrd56ZL+zz08jMcn5f8xV1TXFhpcWoxJFCSti8IChkmbeBZEnkhVbBMnhpBqiHRgiiDUQqxNpClkCZIFbF1esi1O+z5uPnKjImmR5q26fZCoiQgTT3iHNClJMnkGoCnma2biboDlrpfmk0z7/d377lheTQafuIbiclvGMAPHjzIli2b1V/99YcufebZAxPDQZd20yPJCkfDLplpBl5mSKR99DLwFQQpNDJDWwuGSjDwQoaZz2Lc5K5HJrn/2SHtMOKH3tBl+2zKzq1Dbru6hydsi5gQVq7YrKStlV6TGZUGJayXa0hBpjxzVPLwPo87HuzwzIkOcdqi4ynmmoaZtmG6ZawPPuExM+kxOyXYPJOydW7Ilrll7nk64t13bGTLlMfcBEy0FRNtQaeV0gwj7j+gGMUefpuygCxOJQ1Pcf2eIQ88NWULn4YZK6s+Cysh5xem+ck3nufUwiIPPD6HLwGRoMECKPGJYkl/6DHdaTA10eaFewa8/NoB3/eKefad1HzqwQYP7mty4EibVHhEkWKQKJSQCCHGAs88J2A0qTYYrfFFxmQQ0yDhhTf02bVlxPYNCe94XUQzkLSbPnHcotuzbG1liE+aSUc65qBOZSkjXYAnuTEwXF3l4Qfvnzh9+sKlb/j271ZHjxzOdl2y++8PwPft28vs7Ezw6KOP/LAx6X9c7S7RavqkGcjUJnJU7mooia0lSSFVBi8z+AXIM2tXNZSglQlGGkaZzyjzGWQNer2M3/rgNCZN2DQ34qqLR8xOprz1lUMu3hiTJCLX2xIc5s5rtpBSI6Tgo3c3efJwG+F5HD/T4vT5Fo2mYjIUTLUNEw3NRAM6TcFkSzHRUUx3PGanYMNUyqbZEds2rpKZFT765QmG/TaXbTdMtBSdlqTT1HQaKb4f89kHGkQDib/RdosWEqXdVLz+liH3PqbpR5L+MGN14LHS8zi32OLKXR3e+tJVHn2mxfGlDkpqIMn1sk+SWTdpFEv6I49uP6DTbNFuRly5fcStl484eaHLsbMreH7GE0c8PvKlFkIpC+7x+YNGAxqMIYkzdmxKefsrh2yYyLh8h2HTLGSpTxR3SFPbNZUmHknmOWC2wE4zWQI7deOjTJKmglTnPnwB8kxyfn6J6Q3Jf3z8sUcH2y7a8b59+/bGV1xx5d8PgJ8+dYqFhfk9p0+f/oPHHn1E+p6tAJSpTTioTOKlhlQJvMKbllb3FUGNn5k8yBEW5NrQyp/HWhBpSZRJYu2TaJjvT/ClJzWGjL990I5swOj8XmTxcousqEgUEqkUaeIhtYfvSToh7JoztH1NK9S0QmiFgnZT0mlaOTTZkUxPwOxkytx0xNa5HhnL/M7fNLjvqY3snoXpVs7eLUmnmdJqxrRbQ5rNFqGSKJlrcKwcSBKf0VAwjDJ6kaI/0vSG2rbMtQNOnZ/kJVdF/OzbzvPbH/E4sRIihMaYBJ2Z3JWQjCJbxtoZerQbAa1mg1bYohEmdJoxN14WE/gJN1+W8o5XDfBUmieBdFkWUYHcrjBaS4SQhL4CAkaRx+KSl9ftFDFPHvekRfyjHIYuWLoAuSiTS+XzPIgtfPg4NTz88ENSG/kH/cHgy1EUPf2NwOb/MMA/++lP0Gx4zWPHDr/l4KGDIvCVrcoT9gDaoNKQSYPShiwTqMwyt9Xl1spL8+q3ogou1cJ5buxVn0Fq7M9iLUmNJNMeiQ7JctvLvZVZytyW9KRdKRpNQ8MzNFRG6EPoQSMwNENBM5C0mpJWw7MAbwumOpqZiZTZqYiNM322blzk3XdoPnDXJi6aUmzoaCbaik5L0W5Bq5nRaSacXdQcPhvSCOwxgKLSTzCKPXZt1mzeMGJ1FDAcmZzFJSs9j06zQac1xTtedYEjZ8/xp5/Yhic9DJpMZ6TakKQeUawYxrYoatCQtEYezdCnGWZ0ezbGCPwM38vw/QxP2gSalFnZPCJEXrdij1gOckFX51WWOo9r8vgm1bKMd4rAPtWWnbPMsrV9rw7qMrk09piklMbAE08+KVZ7g7fs2LHz8Mc/9vHhm9/yP+aR/w8DvNnwgpXl+V9YWT7/CyaLZBhYC0hKicoMaSZQqSZVBpXlQFegM+uLeznAC5sqy5m8sK4KLzszpkqz58+tlyvKQMnV3ECeybOBlSe1DWqVdRZ8JWyprW+zl41Q0ggkzVDRbCg6TUmnZZhsZ0x1UmYmIjZMD7h40yIPHoj44N1bmW6EbOpoJlrCgrspaTc07UZKpxXx4H54Yl+LS+dMrnurtPkwUtx8ueGyi4c89PQUg8gwHGX0h14Ocp9Wo0mzMcX3vGyJJw5c4IG9m8EotM7sxZ8a0sSU9STDyKM1MjQbikagCQOfMMgIvSIjbEuMldJ2CxZpS4MRBkGl56rg3JYQ68KR0oX96lixealx8bp0STJKt6QObpyf59Zkas97pmG1N5Cnz5z9P4OwFbTbrV8H4m8awKNoIKNo9Ct33vHB/2N1+WzQDL3ySygpSIVASkMmBEobUmXrQVRm0Ao8bfIvZvIDZ/IDVQe4Lq0sg84zcUWywhiDk3mvrbhFqlqWFYl5xlKBXxZt2exfGCgaoaIZClpNQadpmGhlTLZTpjoRs5NDts4t88D+Ib/y55s4cWqKSzZoplow0VS0m4p2A9qNjGYjIfBHdEcGJRW+MkhZfbICCEkaMNFMGKSaQdmDmtEbSLpNRasX0gg77Nyc8Gs/3OXfvV/y1b2bMCi00WSZJs1S4lQTJ4pRrBiGkmakaASSMDCEgSL0NL5v/X5PGQtwZcq6H/JmiRo95Kl9k5OI0QXQ3RxDkfq3oNZFCYDOAVwAPyu+c7Fa54+ZqR61tljIDEePnQqU3/q5H/2hd/j9/uCX2+3Wf3c6/78b4P1+jyRJf33vU1/+F93l441WS5JlBpmBSq3dJCWoTJDJPIuZGTIl0CWoi0xaBfIqrU7F0hqMNmRGOMCu7owBPJfdeWBpJYqSAqWsXeblrWi+JwkDOwCoEdqRDM3Q0G5oOq2MiVbCZCdmZmLI1rkVHtg34N+9bwP7T8ywY8Y6LJ2mpN2Slr2bhlYjo9VISLKYv/xcB6kUvrTJrZLBTcF0Pv/ktcvc+UhMLw4Z5ADvDxW9vqIbejSCkNCf4PKLUv79jy7yb98n+MrTm9BGkmmbVk9SW2gWxZqoYctdw1DQ8AVhYDObgWfKjK2nNFIVWWVjGyUKgFcpTyA/1thcQvHZK2CLcupAlVyjBHSx4hYrtPuYFuRWlAroKpOaZpJ9B4427vz8Pf/7m974KrG6uvqLExMT/+8CfGn+EMboF54+9mjTExGNwBY7SQmpBJnZLFqmckbPBJkSdVBnBq0KprbvaV21XVnmLh6FraMoQF0c+LHPVQC8qMEoMnkFe3teUXci8X1p6zcCQSO0M09aYUa7acE90Y6ZmhgyN9XlwX0DfuW9MzxzfAPbpwWzbUeaNDzaDVu/0mykNMMY3484vTiNr2yLnbXlqiAzywO0LdOGNE1YTRoMI8Mosj2OvZGkOVA0Ap/Ab+B7k1yxPeXf/8g8v/Rn8MCzG3Pm1CSZIUmznMk1UahpxJJRoEoJ5vu2etNWZ0qbC5DkMgVE/rgOxq1cIY/f84ItnUutrMyGimq1LcE9DuyqJijLdLl6p/n7BdjT1BAlKXff+1Bz584dL5Tyv3/Hif8ugJ898rdMdFZbjz98V+CxTDMUxJlGSWv7FNnKTNplqgB6UcWWqYqpC7CXQHZlSPG8ZGtTMfdzfDYpqiIqKUFKUYJbyaqe3MoTaPgQBppmw9AMrX5uNRMmWjFT7SEbprs8cnDEv33PNE8dn2PrlGKurZlsCjoNSauhaDUFzYa9OGyqP+aBvYL+KKChyC+yvKnDVIFmknq0G4rbru7x4DMTDJKqHWwwVPRCRRgoAj/I9fMUV16k+c0fv8DP/wl8Ze9GEi1JtM6bpasezCiQhIG27J3Xpvj5xW3v5DKlknEyz/KuB/IiKWQQZfazqmkRtQKuSlKSr9ZUq3QO6up1EXflBV85wJNUcOLMCn/03r8L3vLmb2v94Z9/avBPf+jb/ucDPOnvx2tdNHX6wEf+2Jf9lwV+jDY+IrWFPbbFzKCktFlLbYFeLlmq+OL5Fe+Jiq1d9nYArUtgV03B5Nq7PBnCFhQJmYM7LzJSJcCt/+57lskCH9sJFOQFVmFGM5cXnWbEZGfIdGeVxw9F/Nv3TPPEsY1snvKYa2kmm9BuCNpNRaupaJXsndEIUzqtEfc8EbDSbTA9XaXJC8DoXJsmmWLjrOJVL+hzz8PadtHE2gG5pOFLGr6H7wV4XhMpNVdeZPiNH7/Az/+J4Sv7N5JojySvALRlr5bJw0SW1YWBJ/G8vAhLCpRXHBvKz1dchIVUEUVVGlVCaPxeA7ojKavV2OQrliljqKLAq4q/KEuaq2IvGEQZenn4smf2H/mzf/HTb/upF95yfOXma3b8zwX4yvI5ZHfp53srh783iS7geS0CrXODSSKFJpXC+t/SgjjNxxoUS5XWgkxRX+pKGZJrbmPqgeQ4c+dILzJyboubdGq8laoqBj2Frc/wDL5vG4sbgaYRZDQbKa1GQrsR0WmNmJns8uiBiF/4kw08fmQTG6d8NrYyJlsmB3fO3g1JM7Ts3whTWmFMqiN6cYhQEr9g8FKD55pV5wmQxKcdjGy5QNxgugD5KGMQWAYPA5nXxBcb0Bqu2Wl410+d51//keYr+zaRaI8osyupZXFBI9GEviHwbe+ql8cdnrIlwkrK/PjkXfnFo1OYVV6YbqwzBu6ShBxisrX3+SqcE1jF3K6JYErpUgSdSZ7wM0Zw6uwiT+099r33feWxw1GU/NL/VAZfWTxFZ2rbjie/+u5r+8sLGBOghC1YKlAmZdEBb/Lg0h5MXQSY7jKWgzrTxbLtHjDhMEWVlTTumlmwthtUFsttXtCl8mDK8wy+ssAOPFNWDzb8LNfNCc1GxPTEgMl2jwf2pvziuzfw2JFNzE16zDUzJhuGTg7uZsPaiQW4m2FGI0iZaMfsPWa4+9E2gZT4SudBXOVRFMt3kilS7XH7jQmXXtLn8Ikmcy0Y5R3qoyhjMMpZ2FN4np+vjta7vnoH/OZPLPBLf6L58jNzjJKmTYalhlZewx36WJB7xeqly95WqbJyhVNSOAAXDsidZXINyE0d4A64i/fGZacL7hrIdeWwpKm1ijMDjcDjwtkz3Pflh6791V/68R1Hjp48fsmui77xAB/2TuE3JncunP7yf9Lpwndm6RClJFIaPByAC4mU2gaUmbHBpa50tzY52I2oLWnjoHbZYQ2DWG7JGXwM3MIgFWWCqWh783PmDjyN72tCXxMGKY0gpRHGtBoRM5MDlnsD7n0afvOvNvPkoQ1syME91TR0moJ2Q5ReuXVetGXvwAK8GUbEWcZo2KCh7EUmhahV8hWJFBtoelbLexFRbBgmwgG4JggyAt/D9yWeUijplwBHwHW7BL/5U8v81l+nfGXfLGe6E4zakqnM0EkNjXziQOib3PsvnBRTsnchVQqAl583/9CiPOZO4JmflGplNaU2r4HdlSw1+VLlNnSeA9FO8i/NV3opodcfcOrc0nd+4jNfzV7+4hf874eOnjl26a6t31iAx4NDZHHr1qj3xFv08CkaYRNttD0YuXaTwiZyrGUkySRoVXmmhTwpdbexj0YXCRtTypD1wD2uCouTYMc9FOxtcnlinOFAdpXxPZ2PmchKcIdBDu6ZPvPLQ37jL1t84qtzLPSnmZuUzDVycDes7m7lgWUzlLRCkzO41d6NMAZivvh4wHISMBtSq8dG1FeoLLPNDxOhxytvGPDA/pheEjKZaNvFHmuCyNaqB54sm6+V9BHSJmgwcMVFkt/+31b51ANDfv29mzi1MM1wymMqEHRSTSuFMLGjlwNlBxr5RaApRRkEF49uoO5emEKUvSI1qVJ0ClUrrnG0eVV3nhnnIihdlgLsjDkvjkNjPO5+6DCTG7a8JWh1/rLXGx77hjK40V0QE5cNFj/7z/XgQZoNSLKMLBNoKZG6uvKVttIky0xZZ6y1rLzTMjtWMFmhS03t5NdY25Ul+YEumKWaVWifqwLgyuBJC2w7IMjOOwn8jMBPaQQJYZDQaQ7xvAH3PJHxZ5+e4I77NhLrCTZOCDY0rCyxFmDhk6v8LnLmdtk7wfMi7n92ikHssaVVfJ5xBi/iDkmSKhq+4oVXDkm1BfgwEYwKNyS2I9d8r7A4VQ5Em320YBNsmBJ87yv6dMIzvPfTQ+59dpZzSZNBQzKRGtqesSD38jhEmTwuMTnIi2MoqtpxCZKKxV3J4p6SksHHyKkGdDcALa3fKtfhJvWK2vTytRGkxuMTdz/Ltdft+ec/+l0vfmyhOzi4YfJrj4T7mgDvLp1g5czHkd7M1tHqsy+PoxWUamHIkELkH1YgtcmDSoHSgkyZMrVrTPXcZsWoPzqp9jpzO9aDa18JMyZNiqwceXBLOfmqYG5f2VqM0E8IgoSGH9NqjQiCAX91l8c7/8tGDs/P4IcNNncEM2HGRGhoh9DOO+yboc12NvKEkK1fyfKVwMqThdWMfhwQKEUgqxY9nK9SlBdkeUFSnPo0/RGbp4asDDoME5GPZbCxgu9nuc2ncrtTWYDXAldb+fidL+1z81Xz/OZfjPjAZ+dYStsMQp+2L5nwbA1O6EGgKJshvCLpk698spQqVQLIJRVXrJjyP9QArsef6wrsBahNDeBOQ7ShlLDFayEVC4sr3Pfg0y832WjrufnuwQOHTrDn0ov/xwAuyGhMf/vOpfln3n362HEafiOfLGUw0gW4RmuJyusW7NLj1DI4qd663s5ZHBfcTqlr7bM4Q4Hy7Jt0AS7zGSs15s5ykKcEnpUkYRAR+kOOnU/500+1+fiXZzlyfpqJls9MA6bDjE5o8tR7AW6Zg1uWSaFGrr3DwF44E+2Ij93vcfB4k0Y+gatsF6NCeTnGweTFSanHFTvg22/u8WefmaXf8phI7ECdMM7jBqXxPJmPrcMBue/Qql0VLt4g+cV/PODaXaf4kztmOHJukqW0ycD3aCtBKwd6II29cHKXqVz9iuNa2IdUcsV+BVPT4+WfzxFtL+J17ERcG9G50EsJ4wDdOMDPf/d0Q3Hw2f28+far3/0dt9/+hsXl7teUKs8L8MFoSDNs0Fu4e7uMH9rdCs7heQop8vqPXENrKXJg63LpVXlxjslrF0ye0q2KeIpeSeFkJkU9mDT5AuwsjUJUwLaPedFQDm7rmhTsneF7qe3c8VLCMCLwInpZzB98OOC9n9rM6cUptGoyM6mYCQyTgaaVM3erTN/LvE4llya5d16CO7DZyyiJOXgqpB+HTIe5i1MknQpXoviuxqlJSTwm2h67tseocEQv7jAMBM18yE6Qyys/lyhe4XoI9RzBq2JucsBPfueAt9x+jvd+apU//egsC8M2Q69Bw1O0PEFTGcLUWDaXdgX2ZFXeUGQ51zC5cy6Kk+UGn660dAGuTZXJ1aa6ZzWruAB3LlMcMlRSse9Un0/e+8xufG/7d77mhceMGSDEc0uV5wX40RMX8IPJuaXF8MOn93/Ov/06SX8UlCAtwVpo7LyTxtO6kiOmqkQzpc8tHMYWNdYeK/mpmNsBdwHsmjyReZWcyizAvQxPZQR+QiOICfyY7ijm/iclf3XXBB/98iyjrEMQBMwGgqlA0w4MrdDQCipwN0JJGErCXJrYxFDuTOQAD3yb+Tx61nDvIy3ixCdsmzUBZnGrvH977OJE4fser7q5xwc/32f/qTbDhp33EvmGIAU/0fixRik7p9HKCFkN9ykAXnjsWtIKPTZNDfnX3zPgyosjPnBXh4f3TjI/bDNSAb7v0fAETQmhzG3Uwl6VxuYTBA7I60VZNRvRISaDcz4d5l6bGBIlU+tClphKotjSaMjI63dSiCKPU6e/4N+w59oPw+ILkmF3/r+bwa+6bE4+8+z+W++77+7JTW3rPqQZY4CVuQyRTnmlxKsBXFT/HvucMYAXjO3I7UrqCYPEPooypazLck+ruw2eKgYGZaUc8byEbj/hvqcFf/6ZCe56dJKlbgfZbNBpKqZ8w0SgafmGVmBoBuSsbZm7GUoagaIRCBoBeYWezsGtCX2rv5UXceAUnO42bGIl17f1xEkFANsHmZeTakkce2yaEFx20ZCnTqQMEt+OaUggiLHgKyfrFokaa8u6twI4hQ2ZZLY+/O2vGvK6W5b5wmM93v/ZCR7eO8Fir0VXBvQDj0AJAikIpW0E96Sdwa5EdZEqkZf9rgfwsVst4KRuA+va3UqQQp6kOcBTA0kOck3lxpCmCFIeeOALk71+eOuGuSs/w/MMD3pegA9XToYXzSV/9KabD7Y3TAiSVON7cQ5qWS6JVQ/kWrCb4jnkzymBXmdu1oi6qi7C5B57VaBfjnnLu1OUtBOxgsLNkAnzvZR7HvH49H0dPnHvJBdW24hGA7/jM+HBpG87eZo+ueyAZiDyu8xLTnPdHQjCgr0LgHspQZDSCGKMSfjioyHHzzbZMCPwpc51rKgafR22M6V1aiXFMPLZsUnwqhsGfPyrMf3EZ5gIGr4hSC2LR4lxVilV+tUIWZMpJfHkjQo2a+rRDCPe/oohr7l5kb/9co9P3dfinic7XOi2GIqAYeDh+QpPCDvSQ0p8YXKpZZCIXHKNFWaNfb/SQhwHeH6uM+Nc4MYydFo0PZuCsfMGllK/Zva5b/i7BzZx9Ey3/c6fE3/Uj89eCQz/mwG+2NUM9fD7B8t3T23ecIRAZfkkVko54gLblICvGn6Nkbn2LgBdyRTrkLiyxE3hmPLoWd1nnLvO7UCNkLqUI4GX0GgkjKKM/afh2BnFhz43yWcenuDCchv8Bt6ET0tJOr6h42mavqHpQ8O34G74diahLTOVzl3kPzc5yHUJ8sC37WmHz2ieOhqC7+fLvHFS9PW0oOsuZGUzgB3nfM2uiKu299l3usWwIWilgjAxRIrc2tM5exduSmFBVlql9NnzeEhrlU8f8BnFPs1mxA++PuJNt61w5yN9/uvnWxw702Df6RbxSkgaeow8D6ny0dXkfy8POL0iCKUYRWHWsrmpVquC4ArGznCCSFw2LyaPFSntzOkVzXJ9IzAm4+DBmIeeeIING57fKnxOgC91uyKO45/94w8emLp0g+aWPQk3XZ7YCjQl0KkiiS07GGTJGK5sKUFeDLXHATgiDyJdn9sZaVAcNGGQ2KSGlSR2Eq2SGWFoJ6mmWca5RfjclzwOn2py94NNTi83OXymDWGIank0PEXbM7Q9bV0E3w7Ob/h2XJsFcXGX+V3lACfX3Dm4/YzQt+xtL6yYo/Ow91gLX9btwVKiUNWDV9ZZ0UBQ9DT6XLVjyGUbBzx9JGWQ+nQSQeRBkM8EVA7ApRQIKWtMjgsY7cigom8yUySZT+QHTDRj/slrI1567Sqnl1f54kMBR06G3PloizOLDbKhj5YeSaBAqtxJsV35kjzjSb0eyH3iGgaVFVxocpM7LgVLF6DWDrCzvIFVQ2oQXob0NLdcHnPLpSk37rhnw2tf9y//+U+Pjr5LNXaZ9XD8nAD/i7/+FEma8Zd3DIiH29m5aYVrdkW8/KYRV+1M2DqTcemOmBBJlhQAF2RaVSCnAnjR0FrIE5vWcy94l7nNGHNX02eVyvDDjCQzHDkpeOqI4nMPtnj6aMCzR5usRiFRHIIfoCZ8QiVoKWh5mqbjA4deUadRlM3auvAwlyVBoAgCmV8AptLefmYzi77V+Y0gweiY80uSyIR4niSQBs+x2cbrOgqQZ6bqd8xyP1zgMTcTI9WIfuIz8IR1OpKqYMxTupaBlJV/B8WwI0S+A3TVWlb0T/qZKsdPDKKAzdMxF29KuPGSiGE85IeOdnn6WMDnHmjw1NEGR06EJKmHCRVGKhCSTDrZoFoy33npBlS1rJ0Lal09Gl3VbRgLbE9k7N6ZsG0m5YpdMbffGHHNzoztcx6D0VL7/MkHvhe8d/03MXi2/BEOHh+o/+uPD4s4laxELZ44DE8dirnzgZhJP+Xi7SnXXBHz2psjXnl9DEbj+9Bsx/kkKQlakCYFwCuZYr/7+NiCfPh9Pr/E9wwIjZCGJDYMRpbRj52S/PVdIYNE8fizDQ6dDFnoB0RZAF4AykdNKAIpaCpoKUNDYceZqbzwSFnWDnxhkx4uuH1JkMuSMIAwIHdNbMrc9zSBn+YZ0YRmI+bCcsbnvtKh2wuZnhR4eXxQFH2tF4wV57AMCLUkihQbZhWvu23EnQ8POdFtM/SllSke+KnBTwrPOvfYZWbtQtxZJ7L8G9p4zt+wQA8yReYpUl+RZB5J4lsr1U9oBwkvvSblhVdGvPnlIw6clDyx12cYKz7wuRZHz/kgJIOhRxarsm3KeFTZIFeR1wBeBFu6fC1Sg9DaShOjabYzfF8jjOaVN0S89uYRV1+esGN7yqQn2NABo32GUchgCKdPHRAPn7hJ/fof3pX+m3/62q8P4EkKO7c1/+BlLzh43Se+6oMKQIZoLZkfeMxnGUeXNF95WvPhz6XMzaQYbbhhT8zbXz3KW5FgblJz/TUx7YbJQS+K8ol1zcBiOE93IHjiSZ/FVUmzAQ/u9fnklxuMEsUoUZw9F6CFR2J8tPDB8xChhyclgRI0pKGRAztUhlAZWwPu5Z6vVzF3UPRlluBWeY+mKNk78DVBUBRoZSV7B0GCUjFfekzx8a92UIFn7baa/n5uBi+88CwrHA/FaOTzphcN+cT9q3zgi5P00wbtXIf7hQ5PiqSMKbuFhJAlwOyfkjX3wm0YTjNJ6lkm9z1F6nl4aWaBrjKUsoP0pxspL7o85bbLE4yIeOsrBowSO87t774c8tDegGYoWFhVPPF0wOpA5ipJrHuGqySATeO3G5rrX5CwYSqzpR2Z4e2vHnL9ZQlGw9yMZmbK4NmiDLJMMYo8ssxetEJ0+fh9Z66b3TLxB75nfvLrYvCz86uEGzoT7//IX17+ex8P1MpAgucBKs8AeGAytNZEWnO+qzm/YpeZAydafPJLdqkxmWFyWnPrdTGdpi2hXNcqcS/13HVY6SsefipgtSuRnrIzUYxnmUl42LnAHkgPKSW+FBbM0hBKTSAtEAIFgapm9FmQV2OS7R4/smw8dsFtGT4vq/ULBs+ce0roJRgTc3ohII4ahJOSIE97q7w2p5bFFOX5rVymEuSSTCvixGe6o7hoQ0wgRgzTkGEqaHp2CGZRQ1IktJR0y1tl+bfs3ygCf8cc0LoqhsulUZpmed5A5VnqlCTNUInNJXgqQ8qU7Rt0vmJorrx4RGwGSM/Q7QoefspjZSBRpWKpB9UuyAW2orDdMLzwuoTJaY1J7SrfVPbY2c/ukSWS2NjPaY0NO70MI5hopfzIGy+ovjp1+Y03/fDEv/7R5VWhpp8f4BfmF1hZXn7XR+9aeMWBU038UJHlmxphVKWVpBMM5MtNajTdQlspw+qK4eyX2s5XXA/chW6rljcjBLqY0Elecyqs9hNCIqTMrawC1HnaWZJv3Fr4xs6jl3fSK/Kt9yjBbdu6FEEO7sCjLDG1DJ6zuKcJ8uyo7yeEYcLJBc1f3NkGL8CXogowS3myTm21Y51lZWmDZagssyB/x+uG/O09Q54936Gf+bRSuymtrQKshpgKVeQEqDxqUcU4duWXToFXcddlLYznKfzMzkvxc6ArWSXNbN14Vm41Yy3aDE9YKbGhpfm2l2gQWbl5L6LYP+M5CC2XrWiFTjwrX5GkiSAx9rkZy7UU9nRlRQd0PMNE49gr+t2T7zIm/adfk8E/+9nPo6QIspUzbG9jh5triPJgRSNzveQEC0ZXz3EiYgWZX+W2KgYfz/eKun4rl1sL5qIFTQnwRT6sU1gp4EmsV6vIayry50UhkYczB6Vg7aqrvgK4LGVLGJiypS0ItDM4J8XP2TvwEqSMOX5OML/aQHgeoaQmT6T7tZzTvSbxod1AUBGnPrMTETs2D9l3LmKYeYwyCDOBnxn8NNfhKaWzVG3ipZyrSZSH3ALDlCXLlTTSeJkmUxLlFduXq7xYLUMqna8UurJmRTUZyz5qRGQQ+XulQZDnL6rcpsPhxnm3aGou50kWVrIs47Yip6KLzHi+4g1GPsvn+5gzXwrWy/esAfiTe48hBKz0hvgSGvlWGL6BVBRGvCgLZarag8LycZjaPJcccQlc1JoXEAJJlSK2U6ksiH2RgzaXAMXz8r0xkBcjIjxlN5fyvGoeigW3tI9BAfQi+MzBXXT/eLqUKL5n9WkQJKQkfOr+Jufnm/iTisCt4XAdFMYUaa1GQ4wFgYpRZCfYvvHFfe5/csRq2mDgeTRTTZyn05WsCqKKgjM7Taz4S0WgOZY91PlMFUM+5UDgaZGP1ZP5Lna2lifNgV4l04rgOWfx3AQQuZUrihLeEtzFKIo6wNdA3inRcJOApTlhRM12Lhi8GCVnsj5xcmDd1aIG8He955NMdJov+S8fuffmYxc0vpQogV12jUALk2ehqhqCrPA1C4977M+MY7xWrANllq9IHEgBCmuzFWliJarXKi+LrTp28jHMZQ14HdjlHBSF7UdcD+BFwFnobq+QJSbX2/Va8sBPCPyYc13No4ea4AV4uTzxnAKl4ruJMYTbE2gqJi9b92TpiSeJzw2XRsxODekutxikipYCP7XfRWV2zoxKXIBjQV7+IVnmHMoMsjZlqYVWtmbI14JMSTJlO7HSHORu8Vod3KYEeDVyQpcmgXCA7VaArldpVLB5ndmLlaeeN6kD3T73vYytcwvMzMqbpza/9iXJ0gfu82f+8foAz1IYDtNvy4x3fW+UMd3y8u1GQBXF6+QZJ6rqsDId69yrK3MtwF0zSeaZMBfg7sg16QC7nFLlAlwUtlnRXCzK174SqLJ7pQJ20Xxr2TvX3B6l3i4sQcvYFbj9sjoxQZBwx5dD7n+6gww9Ains/O2ygrBqo6sq/sazmcVKWLC4XXYzrRiOfG67esi3v7THn97RIc5C+pmkkRmi1LmohSNTpMxZ3P1Tz8XkoL2qrLkAd6YkSmnL6FLmoyW0U4qsy+rNotDNpu51rRiuzG46kuXrubnj98yYdClKO4qdsCnxE5Fm4vrhKPs2o8V96zL4kwdOMzvdft0f/uUX/vH8hSWmGhJfOlecqE5KpSOr0Q3PN6ukBnDqrGZBbiqwO0Avah4KV0LIOtiVqsDuFR30yj6vsXjeDeOrOrjtOIUx5s57NoO8vc33ioaD1LknxCT81y9OkJkQVWYv3QCz6mssnI2aBi9YvKiL1tKO0siKYNND4PP2Vw74y09FrOiEYdZgmAn8lJLFpTTIVJRFZ9YuHNeiksqaFA7IBZmXd7qrHOSeQWkrVzJlUJmtYLTZY1mBu7QoTVkjVK0iRYLOAXipx4vL+2ugxFTHyb1Axy8CIcAkTXrdLn6794+ntnzH3cnw6J1+c1cd4DqNiSPv0nTY250Nu3QaQf3KKj6WM5rYlR9fU247BTklwHEZrl55pxwGlGKt5iwYu5g5WMwdL7R4MRqhNuwmB7anROWklHag7bi3jckmZ+4qwPQc9g79mEcPSQ6eaWCUj5KSQOpcRrkSpVqu1pSW1jR41QBRJH2yTJGkPru3Jlx1SZ+vHmiSqIBhKmhIO27aS0W+51HehZPmOhyJQI9pXqdc2RnPUfVHFu6KrXfJ8mGpdvSGccBd1AIZu214WUJBHmSSb0LrgJ06g3+9bF4En8Xnr0K8QvAUN8Uoiggm492tJLk0S/WdxU9KgK8sLpFGQ1Q2ZKoByjNjQaQrPcSaa9B9vZ7FX1xtxTXp1mcIQZ3By0cHLLVCfFBC2O75Aux5p0vJ5LIa01Zt/50ztzP8x3bbUwK7zFaWzJ0ReDaxY7uCEgwJH/lii8XFJiL0rO/uXoTjNSjugXGr63SdVWvetFYkiceGGcnbXtXj0UMTRFmDgQpoZlaLF+WsSpKDu1grdO6J546WpZJK3xZ/s2z8dpuA7edQOo8n8rHXZWJJyLoWd2YbSiFL5i4rDl254mLguUAyBipTHTZcZgdKba61II4FftfQ7K6QplVxYQnwj3787/CU5PTZFSZa0haaO71zdSCPWffPE0gW59UdCeZ+2UKSlOWw1HcFqzsFVfe3O3OwBHjJ4sWgTYny6gAPvHwAkF9sHZhnOD2DX6bidf48q909ZTt3nj0OH76rQyQDlFR59rJ+IY5nMNcGV9Wxq+vwyiFIM48w83jba0f8+WcGPHmkSaJ8BlISZDp3jwQyM+WgUSlMPuXAjYZ0/rfq+xa5TJ5p8EoLMZ/fnpcEqMyUwzpVCWpRMbfTVVWV0joAF1XFoXAdlTFrqfbeupJ3bStj0fYXJz5Hjhzl0LEVhKkkmgfw1MEzXHPpltb/9c4/3nX4+CLkNl25tK6fW197tsZQXUqSsee4X5ixYGyMAYulvgDO+Dhk6TB2EWQWU5s8r9jkNdfeagzcRfreLxqTtZ0ZUraIFT2daX5PUH7MwdMevTgA5eXyxIyVx65doWouiqOHzbgXXgyY15UWb/uCy7eNePJgTKZDhjqgkdmabS/X4ErYjVxtYqlQrhrKmh9dnpiqwtOmMLxysKl9rxi352nyDiKTN5WbnGAq5nZBXTx3Wwrr5bTjTF4vtTXUf/a1sFYaHMZeSJiY6amJXS9/3U+10uj7Bl640wL8mUOnOX5u6bWrTP/8sydGTDaqHkKFPUa1v/kcH2BcGRVX5BrWZi0Axl2HMs0t3Nl5uTSRLpPnY9qKGmnlgLp8nid5FLkXbsFtAVwNBfJdeeKyt8r7OoOYpZ7mP/9Nh8VhAxH6Vp5IU1tVqsE5X4MXCrmiRZ4QdhncOipp6jHR8viZ7+rxhUcnWIwCYukxlJIg76GsRj4Uq6Co7DmhyzJag87BrfMSZ9dZETmDm3KWYwF2JUXO4FYSZeMAL6VZNam20N2lJi/Pt3FwYdYFdPV6Heas9EpNy4eBZnriAjv3XP7zevTwfTod/C3kDP6FrzxDsxHw5LPH6Q1T2qFf7XMuTJ2BHYCLdT5UQfbj/25clkDdJ3ZHHlfL7frAtkFmNX9Qqmr8mHJA7UmJl0sSrwR4obl1GVT6ni7B7XtF/UWdvX2VEAQxH/qizzOHmyB9pJSERWnseMzg2EXPWU3oMFC5U4UjU1It802efK7ZPeA7X7rKn3+mgfZChjIglKJM+igpSBx5MM7kwmXyMfutlCoKlLGrgjbCgruwYDVk5fwUu2IU7YO1EcxQAt7V49V5NmM4MDWMlCxuy0vXEEQ9jhOQuzd2wNOIdHiI4bJBZxElwDdNNGk1A063A0LPAdw6PYVfC+DuczH+WuRmmcs0bpBZaleRW06iNoxG5uPF1PMCXFYALxM9BcCNnZOdSxFfVW6J7wwHqjS3ZW/fs1Orlruav/tSh4VuCI3cPRGFPfjcEmXNiXISvWtsu7KJO09HZ3Yj1ekJxXe8YsAn7h+x2A+Jlccwk7k9KXL3pjhu+bGqsaBl7+ItXbJ5EWcJvMJZUflzmb/Ox19b9hbl3ElZNCaXMkVUQM/JschzVKu0C3BLh4UMLmxF+9yxAsv/FHImJ0HsRSaUPZZJqhhGHWQ8XQH8/kcPsmXT9M6/u/Ohnz1+8iydhirT3wWoKnCuD2T3QxQAXpe5a6+Fw9qUYK9YW5RLfW1unhQluKXL2rket8PdqYO72NmgYG7lMPcaBi/GTVQjJzxlM5dHjwkOHG+gCRHSK5tzq+pBN34QjqtRfXG3FqVicuHIE1E6GWW7WeaB8bhiR8zuLSMW9zUxWWBZPLMyxXNcnIo1RZ0pjdXkleWbs7mpfHItRWkdurGNyoEu87nvrqNVna96kOsSVSVZxLpypWDtGrBrWMsvhvzfS2HQQiCLriAM0KC3eo7O7LU/O7vlFY8Pus8c84TJiEfRZo/sdStLC0x3QnvS1Pi4gOJziOdm6/WAXbLYOprbAXWZ9CmBXDB5pWvlGLDLR0U+Ctj1wd17vqW1csHtgDzfr97PS0ML9lb5a89LUCrhU1/tcHChCUElT/yxEz1uez6fCK8PGa2P4cjGtHgce1yyIeaNtw146NkWaJ80s1rcz/Ihn1ldKokSXK7ZloPcmNqMmvK5zJ/nI6+1LO525HUxwUwK8tf5OdNVHCC0PbdSVptviTGguyRX4aSuyWveOaKGIV0mkwQqT5gZI+kud5nZKl+XxMnmNOGY5+WFMqEHE6HtXinS426pZwnw55IfJYM7j7j/nyjtwHGQ1xwUF9i5RBnfraGmw5VwmnAdcOe1KdW2HawFtlcNCCpHvHk6B3lq5YlKaLZivrpf8bdfajMcBdDy8KTAF3VpMh5gjgfYawDOmP4eswxdXzxJPSY7Hm++fcRn7h/w4P4A0/YZZiGBoLzQVA1QFfMxBnK3KsQGn/kFpiybZ9LqcS2tNs90FXDqPLiUupCQZoyY8nOphfM5qpigGuo57qoUDO1o7BqO3GC1+t2ZsBddmhkwAXGs7MTaTOAZnaCzBE9mTDQFoS+qXyjGQbq+rl4D8GJpdAHt/Lz6wvXA0rUFi39T9h06EqW4KyXyOeAVuCuQF2WzBs+rRih7+SZMnqoD3S/Z2t6VsgFmEMQkccZnvtLi2RMt8H2EVDmo8rkhTnApXCZnnQu9UAsFa5IPrXTH3JXDkmRVNZd5xLHHlRenvP7FfZ441iRKAzLpM9SKIGPss4iKEVkLcjP2WVDFxabRSqCKIidpH6Wssp5l7CNBmlyKaCuRhB4/l2udsgoXoqbP60A36+DMCZwdBSCEIc3/XZYFDCOI44wo1nh3fOrT+J7H4lKXqQm/Ftk/N8BFHexj4B3/YOXyUvybfGpp/YtXgC9nichqK5LidSVNHKuwZOwC4NXk1FKi5MxtGduUTO2Vj9VzPw8uPZUQBjFPHxfceX+LwTCAto8UReUgjj24ThazPIm4R8qpsTC5Bq5P1q0lfJwCrDjx6XRiXv+iiE/cM+KJIyF4ASMtCXItrjSoDMeLBpHlrCiELf90vTZVnW9PUUkXadm8WFWK3IOWIE3O6MWKlX//rGT0inHdybqinNNYJ771MfMchIpgjbMnKlcoSUKefOJJ9u49itEZXq+7jFSCKEoIfVlmLxn7xcXpKawcse4fp3QMxm1Bd2nCee6yuNsB42pukT8v0vOFq1KAWzrDI72y4MqytSrng4+BO7/7xRTavMDfU6m9ewm+n5CajDvua3Lv001oeCBtQ7NfpMldUDN2d1+sJ1GcuvDStiuby62jkmlZA3o08nn5NQPe+JIBzxxvkKY+RiiGwsPPKD+TyCoWrz7C+kzuzvhWqmBuy+b2tUBqgZYV0KWs2FwayhHa1Sjr/FxqZ7ahrpOazXY6iuH5iLLihwrkLjDzFTFOFavLfYyJAYO3tJohhCRNNQb7BWVxLMauogKY46y9vnRxthdxr1jn/eLqd0Htvm9tpxzoqtLkVZreuasK3MWuDuXdqzZBLQDtO6AunBPrmNhHpRICP+HxY5IPf7EDBCB9hFD4ZXLHlMVVNUeovJBLwTYGMJxqubGiK7eENrOtezYdrcr0vTEeb3/lkM99ZcTDh+0kgUQrBpmo6ugFeQpflOuFg5Hys5i888oFevFTmYNey3w/H8fOLJNapgg0q3MqdX4caq6OqDG7a5/WSdB8HThz7EXn8xbDWqc7Bj/QGG3wMm1AaDJtbSUlxxC9DgGtvboqyVJffpz3x7T2+hq8sAbrSZ2Cycs5eS7Ic7auNpuyrF0NwK/AXWNt57ForC2kilIpvp+SZCl3P9jkqUNN8H2QNrgMhHEmxzoMLusBc52869AyzpOydNapEalVF2YSrYr94T2i2Ofq3SNefqtl8WFmWTwSASMNXubkEbLCLizSf27dRbVr3bh1qSRIZT+TMtjspxEII/KmYFEHd8Hm7sWu3XNsqvhkLP/xXKB38SbKz14ibs2tdK9y8jHC4LWbdmJREmtGxoLpeQE+lrSootuq4bW62gprKGfqgtkLy8hlc+luhSJYr/6kBmxRbTBVsLYL8IrBHXA7Q/FL90RlKM8BeC5RAi/h4FnB+z/TIUp8aPm5PKFsTVPuLsHFslsuv2OaZfxm6kB3ZYp2dxU262lxj3Yo+YHXD7jj3jb7T9uLL9OKQaZslWEmynmCCIPI8oAuq68kRfGcy+AW0LaLy+QaXWo7D15Iq89lLluktKNApMjBXgDcdVMcubI24DQ10NcBvU7sV3u93k0jo2Kl06g/+5Pf29RuBv/3iZMnr0Dg2HDr3PMsYlXw5AaBa33qqhjK/bnjgjiZR7szmyjHA5fAVePuiBtEOoGkV8mRKrisg9tXBs8vspbZWOayambwvZhMxvz5J1v85Z1TEIagGijl0VKGpjL5OArKBmffaY2rMqluIkpSTYalFqBWsURlOxYXrZDkjb9VL6SSBmE0F22OOb0geeSpgDRP6WlhCcsbX0nGVtQSKaZ8VtZcC+OImhzsz3Ux1DV83rpYvPd897xP3TYTOzkAqmGs645cxnnu3Msh+hmMYti684bNuy5/8ee9Y8dPTPX6vTdgEgJf1SL69ZaAGqs7AQLOQawHmA6jlzpM1GRKxdp5pF0rj3WzZqamvWUJhkqSuOytyp0eTAl0X62VJNWjdU58L+HAGckHv9DCzl+x7G21dwXOIl9Qfl6HfdxAU7gvSlkyBg7t1oZUcwVN3k2e6XxkQqbIVM5Qmcf3vGrAx+9usfeUDzLGCMko8ykGTZWWa5af0MwZkYep+eHKVMGndEAqncfyLornNlA0OvfHdR6grjER1j7XJS7cizBXAevEd4UqWO/mDnUdRQm91dU3zJ8/OeWtrA4YDEeAZSBdnAAnyBzvZnAZoOZhrpEoazV3XX87B+G5asBLwNf3kak0eLVVYLGzmloD7kqWqPy5Uhrl+N1K2bunUjKV8sn72uw9WGlvIaQdWVF20Kx/0gTjr2uLq8OExfN6A3LNE3cmUnnFZl6lP26lypWXRrzpJX0OfzAkzhQIj0x4DIXAy4qxx0Wga5zPZJxPkMsVQ+7L2+ygnV1iys+oXAYWpkrxC9DSII1A51JFyOrYaCGc55SW4XiAyRiWSsm3DqmuBbi7qhgEKYIYr9nwGAReWTstdPGlnvtWmfHOB1gTVIr6Sa5dxSIPBuogkXI9gFesXbwuWTtncc8Btgv0teDONXexxYnUeLIYamPB7vsJR84q/vBjE4ykBTfCc7rmix5RtwbaZWr3an/u2/hmWyY/O7Wuce1q8HxuipIorci0R5r5hFnKP31Ln7+5u8XhMx6oBLRHInyGQqCyKsiTbrA5BvLCmy/swmKF0QgU9lgbxhlcWy1uZX5ZJqClQOTMrh0CcFk9r6BdPwHkHsaxx/UOrRk7pklqp4BFicBLU9t0alPmAqGouinWQ7nLSqL+Xj0j5VpAzvPxijvx3MwtHNYuEikFuG0GMx+CX+ymIF1wO0GlzO81v9u5SytPfC9mNdb86ScmOH0htGPqpI+QsrIGi88pHDtu/ESVMsXdeup5gF6enKLxwO3RLHRmxd5lM4RUZKnHtrmIH//OHr/5/oBuYgMCYySRVtY2zKrUOFmptmsgN8WHcT9tsatC/tmUMXlm03k0lpVlQfiyArspgb3eard+truOIZe5x82OOrrLYD1/VFLYWThBIO0uup60DooBI8Z1SfVbhfPLSyZf7+qr+d3OsrTOcl5VpFVsoxxpUjYaq6rIXglXkhRWoXa0eAVoK0cciVJudZKWj55K8MKEj94R8u6PTBBp38oToZBCEgjWNhWvk5av4hDnzeeAuKkI1LEKXX3ubAPjZDfLFL62W4E3vJSffGufA8cD3vtJq8VBkQnJSNveTZlRMnhVgFWcrIqxC4lSsKEylWSx1qDJbULKgiwp7c+0sDKlKp3NKwud+vRxbV58hHqVofO+i7f1gD5OFsbudR8nMErAK+y6onipxtxrfpNjEa65+kTtQ63LaOuxdq2xoV7T4XaNVPZgztTKrcOuB5lK1sE9ztoqtwOrRztrcGkZ/uYLLZajAtwW4L7Mx8MVK4g0a1edwuIcPyFjx9HV2i6DU7oFrjzBjivTBp1v01jWiUsrVbT2SDOPySDjLa8e8PH7Wiz2FMgEtCLB6vGCOMjBLcbO63hkUMoV7CAm3AtQWqBLI3Jw52wtqxIPG2hWbF63BetgR4h8k4NK3pbX3hoN/hwAFxWDF9uGGwOeKeY0i9yHNmady2b8rTqYa8kc94OtA2653qMLmDHWLqWJsp0bdTvNYfFyOE3lfdfB7ezC5urxwjlppdzxpQYPPtVEF9pb5j2XopAn9XoT6dRErPe9x5Nfz3VWqgCpkij15uCKzW0K327TWPjiaebj6ZQXXhPz7bcM+ItPBaBiEBIjBJH2bJmDhWl+EY6D2nmdMzflxgVWl8u8wrCQKLoIPIXIg8wC6PZnlfYujpVYl/QQJg8+1zMtxmI8h+HX++jF0+L3eEXtgym7oCt1VmNq5xe72luu+RBrT/BazW3WsHjxfhm4udagqEBd94pNHmTqitFzmaJqoC6AneVaPJcoMkVJO/j98AnJ++/ocK4X2P2upR30Xoyuq9rSxrRkbWUSNcCvvwqOsTkV86zbjOwEm6bWdW/3z7GPdvuTTe2MH/z2Pvc9FXL4vASRAAqNZCTsXjvVdyjcE1OdUzMuk0wuU0S12kiDyi9EkUuVwjIsWLuoMDTF3xG2vtxl73r5rP1PVSm41omzb1cXZM3ocMlX2MhH5rjzyspB6leW+4vWXklrgV9jLLH290lp/4isvVcHdtm8uq48yRm8BDoVoJ3Astgv09XbRaBZ6m6Z4UkrTYIgIco0f/yhCe59tGl726RntbeUtmtHVPNX1nzWcUYaY3L3+LvHdW0Gs6oyLIO3WvmsW0Zr280KuzDLNKn0UKnHy2+M+Ym3r/IrfxwQpdJmoLQkzV0VqV2WrHxvkVmAmjEmt+NUrGQpnBRjivOUyxhhygtTCGPBLIog02rxGsZkdYGtj5tcSuWfcRz0uMe5xvRWE5n8j1kGL5h4nToKxp6v+cXO4zigi6WneF70CFbsZ2oAH5cnQrjd4trxv01NokhVyZJyM9g841fp8IK9s/zfpCWD+0HKFx/2+fi9LaLYh6ZXau+SvR3d/Xwlsa5NWILdYaBx+nYLm8rJTTVwk6fKHfY21TxxWe4oXe2k1mylvOXlQ+66d8jnHlbWNkSCkCTCY1isqM6CbtPozgcac1dUTt9lXYos1EtRWpt74UXSx5BrbMf7Fk51o6HG4Iyx+XPhazy2Gf+3hf3oVsN6naYhHtkL3Q34CratXyH1q632i8v3zFrAj0kTF+SFbSjHAF9P7pg6k9f0dzUYspQjObjdudbKcU68HNyBn7DSN9xxX4v9ZxtWmghbEitk5ZxUE6TWsnYd6GYM0M+jTwpwWwosLblaIwSiAvea4UBVjYoUCpllSOmRRB57Nid8+0v7PLg3oBvn6VdtZ23HKIp9IOz+eIK0YHLh5j+q5E7xVVzJYgo2FzZmUHmQXbwuAG2ctjWTSwwp7QXkHrtxID8f2Mcx6a6YUgjSVDOMMgajFG8Y2f3QbamsY+m5S+w60qP6Y+Y5P1j9xI8BQ5oamN0LoGJuUwO0q8WV0qX+lo4tOM7cUrrsnZXg9r0UTcZ/+VSTd3+sgxGFNHHZ245kW8+fX69bhRLconbsnou9a5V81L3wsi68rLeoT6G1vnjurEgbcCqtSTIfqTQ/+eYBh874vPvjHkmagzwfmxwJidLFIIkK3Eg7Xrn8mK6FKC2TF8wtCzbPj4kxtm3MiOrCt9JFlKu1yWVEUSBQvBaikq/VsXNx5cx5YX3Ql+/nTfKBb3eq9oqdxHzPGbCT/491n7IS+c/F6BW46712LoNL53etkSiO7i6kiau/1wSaqtrteD1wK8calI5romSCHyQcOif5+N1t+n0fmnYvSLsfpE3Le4Xmdz57TaK433vseXGivhaHl5tiuP431Nlb5gVJ+fMa0It7HnBKaWcadtopb759wGe+3OTQ2Tz9akMvMiEYup+0KKE1xgYbOchV7iAoV66Iirnta5F74ZVRYcFdsbYQ9gItz7VxpV2FFV0GoM8T5+GSiVmDUwOkqWEUaQYjjSdkgBAeRfNvreWo1v/29TB6XZ5UQaWpgRxRyZK6/10fJuOydgVu7UiU+oB21zGRjjwpWLxIyXteSpRo7nqgzRcea9rh4A57S4GVJ4WT4yQuihNYHfSxLhVnufx6byWbO3VA7h2HwU2+FUltClauxzOhUJlGC0Uaebz6+phXv3DIyU/7RNrq8MLqSPGIhJUbUo8x+XoWYumBO0yeuypSOBWEIm9ry49VAfTiXBuEUxfulDnkf7vCj3AAPkaYZeyQfzQqTU/O9I2GT7sV4k3Nbl/p9aPP+IH/jywLOiw+Duza1VLZS2uXCueDjn2ZMsAU1EZ+FcAWwqxh7XJcryomnI6B3AkulcxyJs9qwaUnU6SynToySLnn4YB3vm+STHsQqEp7C1mOYyusQSXrq0zxPcrAuVzW1h6v56XwsWSPm8EsGiAqYFezA03B3nIsAZRLFaHtsKAgyPiFH15l/ymPex6S6EBg4WlPWqIVQwrAQNmcLEsRUX0mYZm8zHCWgWbF5qawBseALgqgF9gwY+TgYIYCrOtKEudzOiyvHRwKDc2Gz+z05Gcuu3THinrRTRf1o8HC4cDnJzApnlqn0UA4BU/rNCEIQZ46H/9ZXXK46feyWEq5pa/V+9XzsQrBgrWV+1hncM99Xkvo2F7LU0uCd75/kvsea0PDt563si1pnhQ0JeWGUsVGV+WOCnK8ltttfK53/JfTtqQsp2+VDdPOajk+11CVsYdzIY1ZlOvHL8WcwDynYWDDbEroGR58MmBl6NQW5GGmLmHt1s1US3V5febsW6LtearxqqH11N2iIplVu5gdSea+Hq/RoSgCM7Wf2WCYMiGWZRqlAk6dnf/BRx59er/XCm1PZqI0Mh/K6Kbq7VVi6ldS7Wf1paZi9fwk5P9GjskUId33nC0xxBh7S2qyxF4cVeF/XZ442945aXib0LEgz4KM939ikr/9UhvTUCBUWTEoRFVU5UlT7290tbcYY6By2XwO3T32XpngGZco2roOdRbHOYFVdaGRlUyxWUWnRkUopNYI4SGHGW95xZBnj/i86z0ecZjWbAejfWIH3FXyp3oswFX44F7ux1Xs7jzm59MIURVcOal8YYyjEERpPoApS2jrzC3WMHZ9pERVdlCk6YXUpDpDG40XBvYNJe3mrZmu+vSeC8juz0pAO5rIDTargNU4NcL1IenlFhgu44vxwFI7WrzaFKli76yUKIXelrnmlk7tyeceCnnfp9uMsnwKvijudhPTsuakFliOD5Nc66CM26UVGzooX/eW61sKa5A1dqFbQmtKQOcaXNp6cZlLFAt+64trocm0R+hrfviNfb7yRMDnHpO5O1IuC2jjEeX9ljbArIO8kB/F8yJvorSpgO1UE5YOSk4CLtCL41ZmOaFK0xfy3zmG1U5t7rqSXxyifmRtqawBadBYJ8rbsWUeTxmWVz1OjII11t7zsfYaJwVKy2c8iBjXsBWTjw1RF+tZhNXOXmrNYzbG5Fm9xlvmKXkvYRDBr//ZJEdOhxjPYe/c97YNDbncWoe5a6Mh3Oe4gHaA/DUE+fi+RrW0PW7xVX3MWq02pcxuGsvgQtkGcpFvZ6I9ZJxxybaUX/7RLl/5uZDeKD8BuoKMRlmQq7weKQd7ceEVJ1oZQ7HIW11egdkFupAum1ernVsfXhFhzsTjzO2AvXb0xsm2XEHt5zq7nDLK8qmzR85tR0rBcBgzGPUIg8qHXjtayzlVa5aKddwU1xZ0liDXPbEjdyv2FsLUwF1srrSegyLLzKTL4rmDkssUKa3uTjP4/Y92eGxfo/K8i3tec+IL47SjVfZg3ep0MoHO+/bMFMMlXU1inFPjPq/ecl2USp5UiRULZrO22lDkjC4c+7CYTiuLykNFJjykNtxwRcLPfHeX//ShKeJMAmn1JbQgk4pRVkDJ9cWFDTx1HkhiSicFquDSFNnLonVtjK0r9h4bF1HcjYsjsw65VsduPWNDSUEjENy0a5aJyQ5ZmuFdf8t302i0OHr4WR576DM0Q68C+DhTr/nl9eKX6qRX0kSsw9y1nbkc98S1BKVw9oDJrUAX7ONWYGkDKl0WUSmZB5aNjM8/EPLej3boDn2bwRFVzUnVjlZlLevBnSNLyjjNTc+7+tV9LsrgrU7TYzGam/BxrMG6Dh/r9JHVoE7rpgh0JtHC2Htm2dwmgzyyVDPR0PzYWwc88kzIXV9V0MrRV9CqgQxFVDRL5lWDFFlVkbO3FrkHbj9bFSznZa+60uNy7LEmXY1Yw+TjSsFl7vowTue4CxucS2nAZLzstpu5/gXX0Ov18dpNj7Dh02lJ2g27P03hP9emB9WWh/rzajcBB9RUX2Zcd49vebFWooyBvJAjBcCVXh/czl1Ky97SS9l3zOMPPzzBoUU/3/feArvU3mvYe73gspoQtUZzI1hD3GOkUDsz6yR2Kv+70uJlI4Rjz2lD2QRcSZZKqhijKxYvJIvQCKmQiWb3TMY/fVuPY+c8Dp4WGG9MZElBqvN0oMvgVP64kuQgtrPCKbald9i8kCZ6DbjHNHj5a+tgLyx595AVPx9z6ClMDI0gzjRJKkD4aDw8u8sBNELNZDvFD2RefG7cX1Fnm7ErrIhkKzYztaWjlCPUAV5YWhWTF6xdOSc1kIvnBnc1UqGSJkGYcq4r+PX3TPDxL7Ywvmfb0ITvsLdwtLcz70SMZ17rd9zvOyazxfjxEfXD+Fzs7b7njleo2sNEncmNQJhiFLLV4Zm2O51pUTyXCOGhM0OKwZeat7xiSDeS/PxvK86vCAgdJkeA9GogFznIjahcFXIAF+8rSTFuHC2xJbU43fnrAbzG3AVJihqwx0OaNcfK+ZnMDFGUMUoMmbGGiecpie+H5xqhuXPTxs7rRsNVih4OU3ZVOzAetxCLl27iB1Njb5e5Cw1esveY7i6el5pbVAxe7Ze+jubObcCCuX0vJUbzyfvbfP6hltXdSpWau87eRdayPm+w5pbUTgZrGNuVKrUD/3xnxSknrEkTxu6uXMnPS5G2l0UThBAIIfOEkEZrO2tGG2WTQVIi8orD0DO89pYRb3rJgL/8tCRO84OAqDw/6iAnH/yDrlwVletylTO9KoBb1KiIvA48txSlvS4cBq9euyt+Ddwl2EV+qEyNFNzVL80001OzZFre2Qwb51bFELlh02WcOXrnMcnoP0/PbCTwYsIgK3f6LTvSC2/YSbrUs4ljz5Vr74393Gk3q9jYea50+f9J5aba68wta+AuwG6971RoPnF3k3f92QSnFvwqWymqwFLk59UdpOmuOONtaW4auSZXSpIWNZCvlShiDdDX88QZY+rxRohCllQ7tMm6PnfGS9hKRJvh1HmLWxIpLprN+PkfWeU7bx/gk9p93E0KOgGdPzeaVEOkYWQEiYbECFJNvs2kIDPF3prWrkx1NYin/FlW7CBX7cVZ7s1Z/BtD7efF62oPT0OqTfnzVEOaQZJiO+hT6A0ztm7dTG8Q/+cPfOTzx667Zo/do0fJEQpN4I1ohjEGVe4wUHR4m3I+xvrLQ7GuSDHG5q6jkjP9etZgXYOPy5OcuYsUfU2WWJ9byjR3VVJ8P+PoguS9H2uz/3AI7dwSFG5iZy17ux3y9YKqeq2yy+wUdpYD9HHZUso3x0UZP4xVNk+POSrj7J3/u6JuXBcNBRXwpVt5mDO3EHZQvDAarRVJpLlid8IPf1ePh54OODZfJClw9o613ygt7MSi5kRYv7u0EXM5ZyRI7IRcldvFRYBZaPZSR5uxcRs5k8v1FIKzCrqBeK3SUsMggpWhZnmQMBql2HUI2LjlCpTXohEMyYZ7iZKUNJNkmSEzuabTVUPyGpGfg4B1AFHsgrV+oFlIFL0muBROzUnJ5qUGr8BdDzATPC9lqSf43b+c4O7HGnmVYMHa1vNGSOQYe7ua2w0oa6B3GXv80Tkj6waX69zcFLZL57WldwzUVnrYgErnswEL5paysA8rHa7zSU7FTsRaKLL8dTYwvOL6iP/tHav8+z+TLA8KYOcoLrfZ9CzIc51dBJ+meBS2qtBQyRSTuxpFn6brfxdFWDL/8u6xLBJJNcvQlXLUwV2sDHEKkfG5eOcObr3lWlZ7w/Kr0OxsoTH5gruSaP6dXhDmW+fZUQvj8mO84bfocK912RRL/Dr/rytZav/G6cQpkzuuVCn97szxwDOUsHcrTTJGwvDHH2vzno926CW+HR5YOCZOYOnJesVgqb2lw95r4ojKMSmugFIr5gxdMwW/HqQXZ9SpyVhXk49ZhRXoK7liV9xieKeT1nfS+FUtuZ2p0vHgJ97a4yff0qNpUtCZlSiFTCnlirFyxcBIQ6xzyZLLkiwHW1qTGKKUKrX5gTWpUk0QcOWL+zguW6q/Zf9eklmJ0mw2OH1m4Z2vfuEVd+3asaUCuAov4fAjPzeIRotHlfLy3Q0yRxt/jbuo6kRkTUu7wK4nairA1jV3TWeLCtAFSwsnwSMdO1DJDONpnj0c8Nd3tVhNPIteCoDL8lGQg9tJ5qxNy9fZe1yijMsR10WqYf7rYnFTY/N6kDkO6jGL0Bmz7LorWtuZhmu3RbFaPNMKbRRpquh4hu97bZ8rL4uQWQoms3edrQF5piHOgR5rQWogzfW5BbMgNcIBaKW/S839XEDPP3vmyg89djf1RwtwQZyB5/mcu7B09HX/+NcHN+zZWkkUgLkdb0OqJqsXPkt/4csI0cmveKeQyrijv5wlJD9Jbgq+em2oe+F1t6R8jXMRCFeWmJoNWIHaLY9NUX7Gk0cCfuad0zx1MMT4bjKnqjehtAXNWvauMXf+3Zzy4TXSZNxJek50Pz/US7dqLNosR7rVGNzkOtvY4ixROV1aFzNucjAbg8htQ2nyCWbCIIzV5VrY4y5iw3WXJvzBz6/wE/9B8NShXL9JRx6UckWRIW2/qKQsENO59vZK7W3tw8IDd/1xtzalOIYaq79dT7w6cnVRXCtA0xBlgsVhyqtfcRk/+taX0e2PuOuvfrkO8LPdzSi/zemzLaZNRCtsMoz8dYE8/t561mCh+9YWV9niLumAv5a1zLW2KJM7eg24K8CnNhXvZ/SM5I8+1uLxZ0Iyz3FMysDSIlWJfEKsYA17uwMjSzZ3mHncBy8CzHFvvFZ4+jzYdgFdk+GmyCy44HYlTBFUGkTOerKcb1hP5VtfWZTgF4U3jiEr5vSh8YThhqsifvrNfX7hP/n0UgG+C+z6c4MkLjKW2C1dENaz13kqv/DMy0SVtMfGYKrCK8aswwL0xXsuceSIN85zBAxTUEHMDVcKbr12mm5vUP5zr/o/mxjdOTTRmjo8KSd2RyNDknpkWTWwdm3LWlFB6CRxin/nMLaoPXfYu1Y1WAe2+550NHfF3nkq3k8ZaMF7P97mw59vE6kikCxkSf6aam6274C47nnXnZS1ckTUZclYmF++rjkmX2/I6ViEOaprmUvc527ip+rCL8AuDPlzaTdK1TaFL0yeOcxZXWhjwW5sgVaQGt726gF7j3u892Md+gn2YD0PyBNs4KmFHf7j6Yq9TXmM89e6AHJeYeiUzhZAZx2Ql1gu3BbyU5s/lyaj1ZgkDKYPe2HrUCvR5TEtPjZXXLoZMfzonVNT/gdOLW7j8KkGq4OAOLWWockra2rAHCtrXdMk7GhvId2f6VrqXcpsDNzjbL0W3FJYB6UXC97zt23+w3smubDo50ztgry4W3C72lvVtHfRsbi+5q7JF1gjU2ongiIY/drgrlUUFs/XOCn58S/HRxQpfUrNXelysY4v7vZwulrcPhqT6/JMsXlW829+tMuPvLlHJ0ztRPlSj7uaPAOjMcaQGqvJk1KTW12e5no6dbW544+7mrsIHtfo7LF7QSRKGALPMNEw7JxLec3N07Ra/gfe95G77mxObFuPweHBfTMEYeNTTz+6+TunAnX9js0p7WZK4Ju8i2RMVztsXXvtXAjFe+VrUV0UQlRsLQrWdiWJcKVJlYovAd8w/O2nWvzGn05wbtnLZ1+4sqTQ3WttwbUlsWNVg8Vnd1asGpO4+rsuxNe+93VQd30QJ5VlWNSg1i6Goj7FeVynrFbmlqE0pmJzI621h7F2ojZktjYQgSGJDVumM/7Nj62yuCr5wB0daFD543nBVSma8TBYYBtpg8qCRArtba3DanJaUXlYrnFFQ3J5vJ1j74C6CAmKLKivoBXCVVuavPym8PFX3+R9ajDMaodWui++/y3fzsLRB+/bMiMe7rQ8u4SUTOUkZ9aUtLqBoeOcuMFiGTDqNe8J97VaD9w5qHM7UIoMFWoOnfL4izvanJ0viqhyp0QWGjx3TQSlNFkzIXbMn103HS+gKNyvgC7GGJuKsf9bwF3H+VoGL9532d3t9Cl3gShciCKVLyv70Mh8iKdrE9afF5lOoxVpLNmyIeMd3zZg90UxxA57r+uu2P1ISocltw8TQ3mvsXnurqQlk1PZhI4zVL5e5+46TVEiOXhUP/xH73vsvl2Xf1ftmHrjB/nGazeCkCxfWCGNU7vXpNNBM56sAerMjsPwwiZxKn2rnVR4nbmFGAe2DTBFLl9k4XWLDBVoDp/x+D//YIovPtKA0E3mjEuTir3LvlFRpeXdzGUB7HE2H685ccFfr7xai22X/YsAqQBsAd7nBrpTSZj/wBJnvp+mqLKbhQYv2dtJ8Rc/Ezp3WHQ+vU+YfF95e7507q6AQY8Mr7ppxK/9TJd/+weTHDkb2KCz+CKFFi9YPXepNIIkf9s3Ar9mgVZsbrArDLkWL4+/cYNNUWP0IlBFQyYEWWYYjjSrowCvtSVPatVvawC+55pXIaUX73t8idXFxXK7a5Xr6BqAi/Mq1nvfrJEmNWvQZW43oBTattCJ3PMWRYCZp+J9zbELHv/ujyb58F0tYqGcZE4d2OSpYV84XfJU0kRBrZlX4tScrMviboBdAbhO3GLsAqjbiy6q68VV1S4Pxb9x09JV8Fn8+6p0or4FSjWhtgwmBSWT6xwlIrcQXakiUBRISrWh4aW8/TUDMg3/9vcnOX4hdEDu6qriprCNzNJ+niLraSyoi5kqknzeuHCKsnIQVzKlitWlKNrZjF1IRHVMUgnbtm7mbW95XZwkKb/0r74GwButOcKw83OzczuvMvGRV0izilIVOxfuiZuWr070uE7XuF43OMydg9o+ZhXDl8xdpOYd5vY0x+c9fuH3Jvno51rEMt+CTTzX3TKGJ+wXLbvXXcdkTdA4Vvc9fsCpgOu+WTG3qaj6v+FWOAK1cgjHDxtvQK7dEQ64nYync+GULksO+mK+isjBbp/bJaL4RJSxkQAAKwNJREFUP9PUktv3vX6Ip+AXf2+K4/NBPqyQursydjNIMqxcyQRkVGxu0/ciHx1XDLKw+266PQiFi6IL58R1sTTEqWbDdJvLL7/kS5dectHPdbu9NZ9jzcdrNCY4c+SO1WYz3N9pZVm7OaIRJPj5Xu51qbKWpWu1I0VLmqwHlFJU80vUGnBnVpYU5a/CgluojDNLkn/z+5N89K51wF2zBi0NS6xrUtWbmHpdSd6W95za2wFzzQt3nG733yCck/DfeBvX3JQuieOB1x7FOmCvuylFpWGlxet3C3JRuinuBlfaKLTxSFOJl8LbXjPk//qZLltmEiuWXUdFO9nP3F2xDgulLi90eGKcSkMjcnfFScGbKpYY3yYwLTR+Zr3v5UgwMn7WaLT2v++v71ydmpr42gAvbivd5Z954qh80vNGBH4O8HJ4vNuEUNiGTgVgEXTmQWWhr5XjiAhHb9c74Ku0vPte5gv+9BMdPvzZHNzy+Zg7L4UdG32sKPS3I0nGJYgLblkBumBpMU7na2D6fD9/fnTXdn4YA3wFbkeqjJfVMgZyvT6zl3ahLkAuqdWtuDaiUWgt8DLD218/4Me+s4+XZQ7Ix4Hu1LDorPTzkzz4jLWwJbelfViBOnPAr43dM7O8CLSwgWsmiFNBPxGMBLzshfrJYbTyM891aL313ty2+0387rv/PFPyBjOIFug0Lbh1HqgYI8dW4HoK3gZvri1YBJoW2PXsZaHDXeDnzomw4MYT3Hlfgw/e2SKSRVZS1kGN+1xUpbCimFBV97vdrOuaslioyxMH+C5+1ySCHGX+9eLbBXL5nmMRuBlN1zrQJg/IGGdwmzYXpUZ3spi1i6JI5RcbDBbJIPsLhTZooaxkyZNCAYbvfd2Ah/Z6fPb+lu3okWPfpvhgQjnv28m2RfBZSCeVSxaVqzqZf1dTEI9zYAomT/MCLjDMtiVvf/VlphV2s2tvevvXD3CAH3rb69Dp8IPnDh24vOEfaEupiVNFminr/Rv7zYq0vHy+QNJJyddck1K25OAWWZXkyTW38ODv7m3wc783ybNHQtswXNqAknpQmUsTubaBuGBvd8DnOGs/J6PDWkniwliI2gXgIvb5gO4C24jneH9ca+e+d4l3UwScBbZsi5kRLmtLm21E5+n6PI1vZIlH8qDTtlcadF7vjSQPQEGSce3uhP/nf+/yrxXccW/LHlj19VzONnzMbJRpXZbi++TfpXDjZT7AviCe4rslWjDUEKWCENi1aWO/MfXaD7bbjef9q+vepma2mUH3vt/tzO5YiLIlgmCVViPKC6lcKqsXT631vuvuSGX56bXgLlLywkoh4cHf3tPkF/7zJM8edcHtlMDWQC5Kz7uUJsKdyTJuB1YHsfg3rutRwrimwUV1Ya8jRcYrCp/3ZurPx0yUNYGmK2NqLF9kml0poguLsLIKS0anLm0qPS4rt0W73rmq7rHkqp0J7/zZLt/x8oEVxtrV3+vd1/rliYHY5B1ChQ4vPe76eLfi+KcGBrEhy3r4/iK33rJj4a77H/3dS3Zufc6Q/jkZHGCVm1joLvM7732I63ad50den2KMJM2UtW+kdmzgMWdkjKVxs5T5o60gXAtuK0vgb+9t8ku/P8nTh4Lc6x63Adeyt5LV0HqP8UrBeiNDaUutF2SOvV8DsfMoxl6XIB/D79d9czSLMcLZHsRVKOttOViXKYUfLoxjJZbgF7mMKRwVK2NyL8P+cWkdFmnszg3ostcfYsO1lyT8h3/WxRj4ZMnkz/WltPNDa0UabS2+6mtXUqw4pob/f3tfGiZJVab7nnNiy6Uys6q6tq5eqle6C5qmQRoQWWRTUe54ubg8o3NHeQZ18Lox6pVxnOlxRnG7LngHkRl03K4CoggjKioKzQjSKksD3fS+N91VXV1brhFxzv0RcSLOiYysql6gEec8T1VmxpaZkW988X7vtxyZny/ACEEdQNas4upXHcCFp2Vw6hkDsJx2XDfF6ZwS4MQeqO8b3vIuRk+748F1T+bOWjKJnmIWPkcwt7vk2orljjl3yjI1kEN4GARSIpah9g2D4N7fOLj+ywU8s8MK6inTeLeS440w0mggrpBXMwLjvoe6RU/NBmzi1rqujSToSYq1nk5NUW6EySsh0sTV1xC61U5TUsKt40aWQgc8p8E5l5ZcIODghICDhtN/iPCiCOiL5OACQX5I8JEpSMPHigUuPv2ecXAB/OQ3mdhiNH3R5MIA7BLkKj2R/4mUEUk4EQETsJhAqZPh/JOLWHXSyeWuLvNdTr6vPtVpnhLgthjll5w9f11/54XjX7hpZ+6xZ9qwYrGPUr6ODAk6vQIJyTDBuSmVQE5xKBWAB1Igh2AEP33EwYe+VMCG7a3ATRXHkiIZjmdI5pk0UxPdSRSpFpskwJzswKpZdyK30F5OP4QSuAiBHK1KUpHo1h3PHx8rKog7T2nNgqQGHgOeQ0Y9ZfQyuBtHfF0EbeAAAUKDmgDQMHAZAp5zAA0fJw+4+Ox7xyEEwc8fduAjgWchlEJLdQSpbYITeCQuA0Xo8hIRRpsRZGFkLYFCBhhckEGtZoIVXz3OyYJ1oyOTHFMMOtXK/tndKBWLw9W6d9UrzjrV9X2CWiPILgQQ1E0maiajP5q02LpDqabAyqilYAT3/87GdZ8vYMNOFdyqSqI27olRK8PxcaZgivWGLMaYWveOObhePR9Z6oTF1qiJBup0Mt6keSdXJparfFzSETUamk5TSOpzmYnIkxKjWqgcZSPG5W16DovKyQkG57v4wgfGcOGZNTDuB1eB8BXZcCp+LiLxReatNCJOHubWhL+lYwFeg6N79ukugXdVNlcczua7prQfUwLcZCb27tmNlcsW7L3onGXbFs3PIGM1olYShtbOwVdyVpKOpYxWquviJCrCOIRB8PNHbbzns0Vs2mkFly1NSoGJ1zSOVlokdugj5YQkQu+kBbClitKCg0eOpwpuVUlRtPImPM9QL4yAmwCwuoEGcm17qYOrwEVEQ2LeruvlXHMy1WMowaGoZpLq66Xz6VOIBsHSeS7+7wfHcPHqGlikk0ugT+eEBhlXPHQ8axyocRLp5p4flKVNVn1UXAd2Yfm2XGnJ3t179sC27aMHOAAYBsP4wQd3lnLVa04ZnI9CroKM7cK2XFiWC9MIKtmNqNllImlK0hAS53MTGkQrGeFgFocwgF+uc/D+/1PEpt0WRJNakgR5+AcS0b5oNrQQ5IFv0Gy9I4qiat9JQEsgJ4CdxGvSqh8pqJsQDt2yJwuP45WxoqJ1O9Ac0dhl0+s59frNNOsdqSph4EcvWmYJqx68FnWCpXNdfPG6MbxydQ3U94NqYA3kSnAIygUQqivgHIIHxc1VH5j0CCY8gkmXoOISHBr30T9vKYZG6tfcftfanYSwaU+rMd0GvX398BplMDO7/+BuulbUHj+vzTmIfMaFYboQYTMWbai6d1I9kaF4wkFtgV2HDDz8uI01X23Dpp0WhJVUSFonUiHk3RbRu1Jps6Ah3UpTBcxJCiL1hHhlAtCkBYZJs0OVoiQmMT2N2kJizi0zC0nMx6EtU4CuXASRs8kRNc5XLTxkAI+qVIZETQWJCL4Fl3MHJit85Pl0OZbNd3HjdWP4h1s4fvuYjV2HDMBStqVM/WrxbSiRw8MhUOcEDU5QYxTlqsDS/hJOX7ls7esvf/n+yckq2tqy0wJ8WgsOAIaVw9jBh7Zkc203FmadhInqYYxWxnBofBIcZTh2LWqb1lTQEFXnhJY7DOYwW2DTXhMfv6mA9362iGd3zRDcVG4TnFSD6Lo3SSooCeut0xShW3PlxDcFeFK0wiR4k6pLvHSakbTeCY6tb0MiUEeWPTrO1B2x4lC+kjceAV1aa7WRJ9UsudZ6YgpLftI8F1/+0Bg+9u5xLOl3g+SRVnQF0jtWKU0DaFSRZWOY2z6MrsIwTGcUZ521DNm2wo13/mTdlpmAG5iBBZej2DkPYKV1uw8M3/Wdh/a9ft3jm2GAY+VJk/jAG6rIZwHPMxAxPikDKvnc8jlzBLbsM/Dxm9tw5y+yqPkkbK02FbipoqYEALaIUsCAkHfTtJC8zr1pyrKmRw2kSc2bNNES7eKYObSThkuRD0OpUCosRHcio0lbVSATNW02IRFK+Y+ooFesOeKMQ5noxaOOPUHokcoGm1TSIzRZchCAehw97T7eenkFtiXwj/9SwNZ9AGxl28i0ylupvII54HvobCvjujeOYNUSF34D4PZK5HoW3tXXu2xdvT4yU9jOHODEmI97Htyzc8mCi9/3zO4d7Int/hXDY2X8dtMY/scFu3DKACDC2XT1QggRWW5GOKglsHWviTUS3GABUlPBrfBtKismg9+fITELsaqaRO+dsN4StKSFtY2oCIFKS2Q6gkR/kwbeylqT1KdN+FZfyJB9kr6oTiWggF19HoX+FO0cKsgBIvOwQRT5MNbUowp9hBFSGrRkjpxUxVkFCDhnzQXJHBB1DpsJXHVxFRDAmq8UsG0/wnxy5cKRO5HQmwquXczvqeMdr6vDNrJw3SKstp578nNe9j5gyy5Cls8Y4DOiKHJccf4cbN7w6K7/9ebTn3r16h7M6SAgZhsqjSzqrgPXN+FzFuVKRBSFhOqKzbHjoIF/+Eobvv/zENxGK6utBHEkuEOAyUSqOL8kkd+tpMWmFhCrF0AL5SSpmqgNN2PEztSbPDKvUw/Rx8AlROHV4XH1yiAVgHGYfqYSYjQHUKKJkEpb1HI3SWmESNAVzgJK41E4QuCNl1Sx5tpxzO92g5RCoVCW6IuSgH5SC8TMgBkOatUiduxux97DK1Allz11cPeTRwRu4AgsuBwnL+rFgoX9n173xNaFo6OH30TFBBrV2RgZq8E0XVhmAzS85UTOJfPREAJ/eNLBV+7M4Y5fZNEgYfWBpoykRSjV9XEwJ8oURKJxJpQayySwFdkPSCgmyrYRJpPOZMLvVCnLUSknMwU60R1MDfhIUg65TXwxoInihNSEIEFdRJyExTlASRiqJ6CQy6hmqSkFOOcgRLfkAkH2qPAAy+B408VVwAduujOHx551glkkCAmAHlY2EEKQM4AcM5BFJ/7zsQ7Mm5NHf9/AbXbxjE+7lT1HfA6n11kS40s3fhGdAy+vFzv77nXcvRcs6PHndRQYbFME+ng0CWs8L2VVAN+8N4d33lDC7zc6cIkRgzs1r0RabpWmKE4llJ6Cie5UEuxx7aVsrg+ofQeTy0i0jjT3J6ShBQ/XRyIOjZcFxwpqHuPpBUn0R7XXzQpPXPgcl7zRxMUZO8SkeR/leC0zIhUfBE3yaBwAA4T2PqpqpNGxpKGIjEAc8yVhViMDMLjIxZWvrGNknGDjFhOuVGrCelqLMZRMoCvL0ZkDOM/CznQ99IrzlrxhbOjJye45Zx0xwI/YggPAe9/+Gmx69skKVry28fQffgSTleGH3nVgcAQM6sO0XFSEwDfuyeHvbilgdCIENk1YbZAU3q1bboqAvpkIChmitg/QK+Q1KTAJIOXHTHMs0yy2yt1TWcl0r2c4tCAPSV8fW/RwGeJH1XLHeShJrh4nb0XOaWjFIUg8GwNi3Tx2NAGKgI/L9+CcapYcQCgvylNBwlwWAiGCYOCsvI8b/nocjAp88+42lBsUsD2ABb8JI4BBBRoux0TNwfKVlzWeeJZWTlt5yVGd16MCOAAMDAxACP4or68458DO4YxaDW8YLkzTxdaDBHevzeOGrxUxOmkofDskE00AV6mKDm5VDlQLh7WGPYmcEs1KKSBNKiQSmDrnVrcj2jbJY03hWx7VaNLHJagjvVufTzNerxQuKymNkU4unU0SFBnEGYlxYbB8LesgA0VFOpqIZ44AD7Atqx6kyhIVPQRigwyzByAn4JyjPcvxT9eMwzEF7nkgjy3DFCAufGYEFTwcINTEaaetqs6bN/AolVfPCwlwyy6gUS9/dN6i80SjvPkDovaEYxoeHKuBrFPHoxsp1txaxANPZFH3w6Y80q7Ke7wEOVRaQuNtEIM7zhAUTYXD0iprgJfrFMAHz0UT526yzknApm0zFZKPBuEEKdY55NXKMikNQojoAyX5ueZUEiUaqvDwAOQkDv1LXo74TsEhIkVFWuagsWdgzTk4qAgeJcgJDULuCNOhg68VtJUmste8y1HK+vjEOydw2cvrWPNvHL99hsGjJqqGicmaj3NWLaz92WvP/6Jjm3+Xz+eOGuBHf2kAsOwcH9rzwJpCcdZnSu3djVymgny2gt9uBD78lRLue7SEup8FDAegVviX1lYtBdwkzicxosdQEgSiiuyWzXvSgEniL62lx0aPpLWVV1SNtPxwknZRADMDu2ixLEUWhAbCWANXnUrVKiOyyCS8AsJHpag5OL6ej5KaqCXURCwZzleTspTXUXCIhYUTBnxuwPdNeL6FesMBIxYuPcPDZ941gnMGDwO1MiaqHvrm9jd6+3o/8/17HlqTz+emzBacbhy1BZejLTvaEKT7U5Zobxw8gI/ffLdB71zbjse3tgFZKwStvL/Kijw5aGzBqWrdAxBGLR+IXn7W3PIhqXMrVloBW7xeB2oaBpMXQBKtihvVtI/6DafCt4bhRLi9OfhDouC8uj2gKCiKAyjCTpcCCNpBEJ2rR5wcCTVGcnRIvh7kitNQGonyWSCtY6CuUBI04Izpi2y9HdSIyjeJ9HNB0HAFWJ1j9TIXN75vHLf9uoa7fzvAu3u7Pl7q6//8zgOHGseKz2OliwCAXVu+ju4O5+R71+594i/+9jFW9gowHAOMUggSVjVFCcsyuUaa1zhxKsm5JcBNqYwQXSmJO8QK5blCV6gStlcb/FDd8seKCkGawhIvV9bL51J1oUTfjsp1gZLAqLqdcvzwM0rVVM6Owahcr6hCyuwZcrJedVm0X0oz1OYp0nnT+uRcpVo+UVNPd6691nvg6IUvUfWwUg4nRQkCgDGOnFNHpV7Bg1v/u79/YtlK25h8+po3v+mYsXnMFhwAKmIQdnt+s2/PvfbKK7q+8pP7/0DNkCv7QqDmE0z6FC5H3CJUXl8qF09xKFkC3FrZGeLqnJieCJ1zQ6cPragEaXGpa0lX6qPyFdKVlBnajtCiEtG0OH6SsOzyaVNjqZBkR1ybqMeIQ/+Q9IOoofpwU6me8OCiEeGtUL5XJIFzCkp5NAes5OQEAKJ1oeWPjh1QHNcz0XBNeD4LQc5RrmbQ0XcZv+jsFdeu37N8c19x39HCURvHxMHlWLbkLNz/e6dx1avOvXVeu/k3Zy4uocNqYFbGR6cjUDIFbCp/FYWmROFZHdwmSQnDQy1gmIJrQwF2+EI6l1r2IJKgJjqdUQ7WhN/EssRh0jn1dGO6/dLAjESkEsqFAHW9HvGMsw6Jtm+0vSorKqH5phTbRJvmOLIZrFOTwWT/QwDwPIZa3cJkJYPxcgaHx22UGwswNtnxN6XuS289c8lYY8niI9e808ZxATgAXPyyRdix+zn//X91+da3v+H8icVziyg4PrraONpsAe77gNsAvEZY6aHSlODnkKmvzZU5MbjVcDtVZEAKxLJgijqigR5IR2jiMblJyzTZVuNYCKDQuXG4KDXfW9UVJaAhYi4dHVIooJVnoymEnwZqPdTPEyCPJr2KHM44vC+nvWHUh2W6cOwGTNNHuWZjeDSLkTELNa8HhZ7LJnoXXLm1MrnfzxROOV6wPD4URY62fAaVifI9l174sncL7n/xJ/f9qsNrTKJUFKDZMfheBXuHDIxUnHCCqOAHkJZbyw5UObKS1qolUyFFBkz+kdgJRdq2CYudSm2aaAiJtkXiuMAx4zrxWjbxURfGnCaWAkk41TZi2gPdsSRStFOtPpGWXsT7iGBbQUQoCapOpVoaLFlTWL8ZauCBwsuDacaDJhUwDQ8TVQ97hhhqDRO79loYm7DR3ZXDopPPH+mafeb7K+XJezLZmaXBznQcV4DP6igBAA6NjH3rNZeea7QX6Kc3PfObrt7SASwdKKOQP4Rbf2rhhm93weMWwEhUNW2TRFN6xOBMS39tmgkNKdY7AdBWgEwNOeu7RtNrJClLKv3G0YFcTLsfUfTvFjuouSgIgSuXQ5XPYysvAatRlbCPsbxIiHKjCECvOwQ8CuyI8G4a/j6ChFzew00/dHDzvd3I2QUM9hg47aQCTlt9/tDA4rP/t+t63yp1zsbxHseNoqijs6MIg4mvn3fuude/6pWzh+Z01+EYDrpKDi49s462jBfeuihMCmQoYDERtAcI+5roU/vFFlXSFfkTankU2rL4JCcNcBIfmgXXNlKJfVo2IdIRmeLIHslQgdakhQNxYCf5RkJjK3p6rUpVomOpqa+J/ZVGQkAogHESaelqs321t6HPKXw/mA7FDwuVKQEmqwK/eDSP50ZKqNds7D/EYRbmDw2uWH39RMX7upMtHCvsUsfzAnAAyObysBpfv3V+f/3DhjNnpNagqDcMCDckDNSASQlyVMBhgRNqMRFybz0Ur9GQZGVO+H5NvBvNnDtp2Ulio5Y4TAFzsFszVdF3I83HQBJ4+mNC6tadwmiF/obJlFl9ZfBJVccxclATx4gjoArvhsLLo/UIj6lzcQluz2NwfQbPM+D5BnweRrENCmJSWMzH4NL+kQo3PvzJm++6tVR8fsANHGeKkhysdC3WPXTbN5nd1sg57s3cG26regycOGDMRN4QyLNgvkoaVaPot0pAtcLN4E7j3smfOc051Dh24lbfxMuRAHHTmyQAdzQnaxp+IpBujYRAmOcR5nuoeSpEoSUk5e20gJKqtIiYkoh4fchqoiPITEH5OaLJsoCgeSf3IQA0DB++b8I0BeB7GFy6aGLl8tnvyTnG9951zZuP5mzNeDyvAAeAOb1l7vpttxWcXm9yYvE3fvDADqfeyKM9Q1CwOBwWBC2C7qEEPhfwOYEan00CWV+mc28kLLQa/UvSFwmatGhkKyUluQxNy468P3hLbCtJVumRSH1HvX5X5+ux7CciHzVOaQkWREBXjhVzb6G8H0m8YXBsP6rXDI5BqQHfZ4CgKOY5Lj+rDJaZXeufPfuvqF24c+9Y7ZjC8DMZzzvA+xZfDXH4Sz5K9p3rfrnIL/td3y5aB50Ox4djiqC3DwkbpfsCDUHAw7OvWp4miwodsE0XQDo7iH6XVC17JioI0WlJS4fzSFCeBCp08GotlFP2iVUSdbnQ9mv2RePQv7TUkcqiHCYCuvyXjEqFbyEQGCjXp3BdAz4noETANRlcj8HzBC5avayW7+x46wdvXXzXG8/b5n/9k39+BCfp6MYRFzwczfjHT/8UZtebReeKFRvrB/xniw577cjIqJl3gLYMkLEkyIMG5y4nTQFPTTVRnM1kklXSIU1TVpouDKIXEEQFDUrxg1bwoO6nFEMErxPFDlR5nngvYLrPpQe0os+B6b4T0WMELc9DAOOkokQUaxEZFnkBNZ3v2H31OUW9YaJctVCumWi4LMyc5SD20komt+AvV51u3/n2C/fyq//87S8E9F4YgAPA/ff+AGcsvwhf/tGeZ85b1b/dYrgE3qTT0UaRzwZEYaRMMNkIemFwxRlKm0Neq8YhrYsbWlW36BU7apUOIiDrFTUKWJVtdNAT7Tlp+XwK0CnbJIHbshtA6nLRdL6aJFQV2BLoCVuv0UNt/3gKyWiSXwJ4voGDhzMYHrVQrlIwStDV3TfW3tH3zgWdj9y2+7klOGnl1S8U7J5/iqKOD77nLfjgP30Dpy8tfndBX86kYv7nRw5s7uTuGEYrAvvKVYxOGKj7BiwGODScdlu5HWs5J/IHgP7jRr9MC3evKR8lPvyUzOJIufXxHk0cXC6fXkDXHc04fq48UYJJaqifqMEkJd1BATljPkzmw+McB0Z9bNiex9BhD/297Vh00tJDZt66bmgi+11AYPmqt7yg5+yE/WZjY+OgzLh684bffOqh//x5V3t2AqWOA7h9rcB37u+FYVrIG4BDeaCN0zB8LzMEqYga/UgLjqSlQTqFUS0/UzIDo9cJeqJlD1LSvD58TpSazDibUG4b7y/fhyifpalelMaZj8H2evtnmppNqNSgUq5vK7eJMv5CgKqz4gFA4rU6DxMj8fxMsielwYIQfMau4vYHCL73q260mzmcsiiDs89+1dAF55/3Edd1v1YqFU8Izp43HXy6USwW0PC8rw0sXX1955wLhjLZPM5a2sA7Lh+Byarww2aMQgk2xABNhvIT4EaaU3Vkg0xzgDTLQFL3nZkNaUqGSnmuHzJ5z0m+D2n5pdMkQzW3RdXC5azDTTKg/AsnGvOFi1t+nMHaJ7IoFYq4+i0XDr3m1auvz2brJwzcwAtMUZKjs1RAvVa/9crLz/cOPWd8gTYOtQ+PViBAYVMCQ04eKW+LiLmlyqGT4XN1qNFKeZCmW3r4OpW6qI4WmtfHT0hiIWaGbZG+T0QpElKhXCfS8KukyCbXEVX5kN835XNo1UEkVFqiwuHEDiToI+5xA4QTdJUEli6ahYsvvuhwoevsD01OGt9oa7NwIscJBTgA2I4NIarf6h9YNXJg+5OLNh065TMmNpol04MvGDwuG6HHwJbtImgKKNUgUZxJ0YyjGdDWppEa7ElxyuTjTPGtfnaS9sESOrjGpRVQq5urt+amz5HwT7TzokY5w/cKFgUpV5wGs6PJ30IIismyBcfK4O+vPdu9/cGuD5/38jO2Wrbx43z2xII79bufqPHvdz2NXL7TGjm0/W27dmy56Xe/e5xsHarSveMMOYOi3eJwDAHLiFuHM2V64GjyooREG/DHFIlR9k1RuHJUARTxZlltk+Dfch+FU8ueKOq+ao+UVhw86RfEjzoHj+aqUXg3oSKl0kep+JFOIFUrd5AyI158zrROV+EyeQyDcZiGB8v0kMvUYZp1PHcog4lyD5+34FTRM3f+tdni3H8HRhuEHJ987mMdJ9yCy/G215+M3z+2oXHK3L5vrbe9Xw/2V9/A/Wf/+aa792PDjk5QSmCEYX2DxZX1AKK5ZOJm71CsHkET6qcdpIXVSzxVFYUZHzsYU0UvVfqhxG2iqKJMjSVTHCy6i5HmN4ijv7FWLveR/Qkl9yYAOBcQLEiYJYSFM177+P2mOh7ZPIjBgZP+frCw+I6GN3d3ZX+10TX7xQFu4EUEcAA4Y9VyAKhuevyOTUtWXvmpO37wbWvRQPtHhw8dYpaow2QEJgOMcBZvFv7gvh9MfRG1RFCjbyKwmoBISF5I5xPKI1EfE2Q+GQkVKYeQIzUZqwVnigEdgljPSk1cSAmSnvRO1e/SQmGi8i4Y7kdI0Efc8yl8P7DiMpUiaC0REKCKmceiBQt9Wuj7xJpb/vJTw5Uf+++/5hUnFD9p4wUL9BzJ+PLNd6B/8RLxP9/87l//+M7b7JyF1WOjhw3CGxCCwzQIHBOwDAIjbNru+4DnB01jNCsOaApLc+ptWvBFjVbqlEOlGUR5TtUgD20d4FGPDaQHXloFZKgCzqmCQK0k0UhWpOlFyYFTS+BxioZLUW8wuC4LehOGRsHzTdhOO0o9F9TnLX3LZweXX/Sxn323V/zZa19YfXum40XDwdPGoZFxcO6DEHLD0xu2nfOd2++he4fq50yMHTK6iiayDoXrA6OTHOMVoOYGFfyADmBNOw+r16OehiwAKVM5ucKTNc07waPVPoZEqapXw/qUqlFOdV8dhNEyhYuzcDbmWCMPtW4qeTTi6vpoXcy7GRVgTD7n0XNKebQuroYPzpvPKWp1A+OTDkYmDLgeQcbyUWqroL29zZuolh4+5fTX8I5ZCx8WQlzPGINpP3/prsc6XlQUJTk6O6ITd/0n/uUeLDz5rLa+8sQtw/u2v5E0hmnG8pDJCOx4zsW+MYZKnYZBHwlkEU1FRyiiqfMAnaJo+rViWeVaouqEmmSJ5MaQ/J1E3Gbq0SqdFepyjZsIbZ8oPzvBUtQRdfNSgjwyzM6YCGe7k0XBBIT42LybYuseA4xy9HdnMH9+H5+/oPv72VzmHZ67ccLOnH6C0TGz8aIGuDo++u4rsP6ZbRO247znuf0Lt2zf8uQppezY64vm7/CL9XXc93Q3xsoUtgnkzSAN1wRBMGNvIL9RkQCEMmK6ml65QxJ/TRfHMX6/KCNQ+2xxQx/tMye1caH7FnG1T1qqcIKaUA7T4DCZB9v24JgcYxWOjXvHcd8j7bjiwkGUujrumrv41Kc6e3q/VK/VJjr7Fp5oOMx4/NEAHABWDC4EgOHxw3s+tmrFlfP96nrs20de/8SPnsRzIw0sH5jE0ISFiXpWmfGBwA8dqnA+06Z+Iq04b9KRTEXzFIb6SDLDpQWPoopqCiyUdYlclOaZHGTVjp5qTWTjHnVe03DaR0Y5bNtF3S1jzzCwuM/DJWcVYbevxoqlp9516blL3j98uLzTyh7/msnne7yoOfhUQ4h9AMzF6zduOnXd0+77NmzYev5g76NY+8wB/HDtPLTbSu4KDVryWgyhCiNgRM9J0Guchdo0JUqOC1E4sp5fkq55y6zDZi4uU35VB1XTwRUuHgW0ZL4IjXXzJOeOZrRQ9HMj5NcG4zAMAVPOa8o4TMOHaQQ5JSwCuUDWqeKOByawbf9ifOCtyzFn/sIHN+7t/JKRWfEkhLvllMWlE/2TH9X4o7Lg6iBkNgBsEUJsWbEMT/3yftJ36tKFXz1YW7947vptrFJx4YlgziDZ/5qRANjqLGaaupJIkdUMdUIH11SQaBuCGVLv+P1Vy52yTEqUQsS6f6KgHQCB4ALh7NvhXDwqTVG6f4WJUgaTziWH6xEcniji3NVn+wPjL99SFfyddukV+1eUsImRP1obGJ6Zl8gQ3kE0Gv78n6zd3Z/PWd//8rcfKGzdtj83OTGBOqdwDKBkC9gWYFIBkwGmEUiNphFYctkPUJ6WCPyhpZYKC0ux6NpMDmFUU4JdLZKgIUrT8tvjWSbU6KXSn5A1W3D9AouVIsMIuLVtcJimH/JsActykc/UYBoeGi6F5eSRL/SX7fYrxi2jetVwdeleAWPnwJyOE/2THpfxkgE4ADn7AB0+PFF88LFtZ8MX/7p7xzPew+uf7njsqcm2giFgUh9CAI4VaOm2RWAZgGkEDTI1pw2qlEdCukO05pqkFchV3RtoAvh0+jVRaAlVqFagesRAj2y04lcYTMA0BGyTw7Y4HMuDaXgQArBtjkK+gpF6Pwrtq0YXLxiYJES8w8gMPkKt4pjg4AZ76cDij5aipA0StlR6csu+w4OLZ/9saGh86ec+9736LTd+7oN3/sfv/mLHtm1utVZdtuug6zS8SVgGQBBUnZgGgcGCyJ3vCXhCTtAEEKbzk7SqGiTUl6bELEkpEpJgXA8Z1xnIivfIKZYOJOJayuDOEFAPzoMAl+cHB+YikPoYBUzOQamHQoFh6HCuZtC2jdn2PtHd9zrLR+nzmfxXv+HzNwghxjgjpRP9Ex738dK5VFuMjVu2wTIN8v9++BvM6XFYqZi/acOOyaV7d25/xeHhA4x7NVDCYZscGccAAcVkxUelziFE6KAageU2GAULHdNk4UNzuZryCJWzp5ejtbLihMRBqsgxNjgYA0wWOJNCEJSrFBMVCs/nsAwP7QUGxyFoy1no6+3wZ8/pfWj/obZNXqNybVep4rfN/m/gpEMAHLOKL8qA9nEZL3mAJ8fB4VE4tt1+cGj4k/f8+BfW1m07/WIhc3oxz86oVUdRq5RRrjXwxFaBrEWQcwgsk4ZAJzANCsuII5SAGrKXdERXT5ocUSTuACHVkJQj5v3x8RkFLEPAMgHTCIBtGhw5x4VjuXjkKROTZYpcPod5/bPQWcTviaj+YVb3XHbKaRc28oWOv/XcxmE7036if4IXdLykKMpMRvesEgAcBvDXAPCrXz8IAOdT4l3mu9Wr3Eb1pHJ9BA9teRZthoBBG6g3GhAcyGUNOBaFaVBQFigXPg+jfwgALslwUlcHYl1chCmDEccXoXMr4v7b8oLwwyncOQvuIgQeKFx4LiA4Q1e7gTm9FeypnAbHLCGfzzzb0Z7/fiFv38e5ePD0l734EqBeyPEnZ8FbjfHxwwDwKsH9RfuH9/O3feR2fslpfQtOXtz1kY2bd6HhEoyNDgH+JNpyBgxGUHMJRsd9ZB2CfM4ABEGt7oMxCssKuL061M5RatNLRgHbCvLbK7Vg2uxCDsg5wPCowPikB8aAtiywYG4Bc/o7MVEWyBXnIms896l5XU9tr+XeSbPZ2dS2jK0Aftbe/qdlqVuNPzkL3moUCu0A8DP5emxsGLZtl/bu3f+wxykqNeH2dZ38Accml9pWYEl3b38Ej28cQrlaxOxuhqxTw2MbXdRdikKOYbIqwCiBbRLUGkHKKaMEnAvUXQ7bDDqvjk4KzO5iyOQotg8z5EyK+bMpyo0Kyn4BF7zyTFimgYxDkc/i51lr8gv2BDE7ewbR0XnJg67bGF3YO+tEn8IX5fgvgLcYxeIsABgFcDcA7Nu3HwDZSAjvYRRc8AZE7TFs38tRqVloyxG0t1XdlSvPWUNE43W9HQ13/XaB3hJDZ5Hg8ASH5wf0xvc5Ric8dBQZejprWL+ZYUF/1uztyfzHLx9/dM2CWXkz41CMVARcOBgcHIRtmTAMSi2THhDA9uWzek/0KfqjGP9FUY7juO+XDwEgPbXycLGrVBWPbAAGuhl62gkOjXO4HoNlEngex8i4h652A/P7KnhkPcNAfxtZPNA9JoQ4sGjZOSf6q7xkxv8HyWW6DeWRKtMAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTc6MTE6NTkrMDA6MDBQqD3+AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE3OjExOjU5KzAwOjAwIfWFQgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 194151000
{'hecke_orbit_code': 31525815900438990, 'n': 1, 'trace_an': 8}
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id: 194151001
{'hecke_orbit_code': 31525815900438990, 'n': 2, 'trace_an': 2}
-
id: 194151002
{'hecke_orbit_code': 31525815900438990, 'n': 3, 'trace_an': 2}
-
id: 194151003
{'hecke_orbit_code': 31525815900438990, 'n': 4, 'trace_an': -2}
-
id: 194151004
{'hecke_orbit_code': 31525815900438990, 'n': 5, 'trace_an': -2}
-
id: 194151005
{'hecke_orbit_code': 31525815900438990, 'n': 6, 'trace_an': -2}
-
id: 194151006
{'hecke_orbit_code': 31525815900438990, 'n': 7, 'trace_an': 2}
-
id: 194151007
{'hecke_orbit_code': 31525815900438990, 'n': 8, 'trace_an': 2}
-
id: 194151008
{'hecke_orbit_code': 31525815900438990, 'n': 9, 'trace_an': -2}
-
id: 194151009
{'hecke_orbit_code': 31525815900438990, 'n': 10, 'trace_an': -8}
-
id: 194151010
{'hecke_orbit_code': 31525815900438990, 'n': 11, 'trace_an': 10}
-
id: 194151011
{'hecke_orbit_code': 31525815900438990, 'n': 12, 'trace_an': -8}
-
id: 194151012
{'hecke_orbit_code': 31525815900438990, 'n': 13, 'trace_an': 10}
-
id: 194151013
{'hecke_orbit_code': 31525815900438990, 'n': 14, 'trace_an': -2}
-
id: 194151014
{'hecke_orbit_code': 31525815900438990, 'n': 15, 'trace_an': 2}
-
id: 194151015
{'hecke_orbit_code': 31525815900438990, 'n': 16, 'trace_an': -2}
-
id: 194151016
{'hecke_orbit_code': 31525815900438990, 'n': 17, 'trace_an': -12}
-
id: 194151017
{'hecke_orbit_code': 31525815900438990, 'n': 18, 'trace_an': 2}
-
id: 194151018
{'hecke_orbit_code': 31525815900438990, 'n': 19, 'trace_an': 2}
-
id: 194151019
{'hecke_orbit_code': 31525815900438990, 'n': 20, 'trace_an': -2}
-
id: 194151020
{'hecke_orbit_code': 31525815900438990, 'n': 21, 'trace_an': 8}
-
id: 194151021
{'hecke_orbit_code': 31525815900438990, 'n': 22, 'trace_an': 0}
-
id: 194151022
{'hecke_orbit_code': 31525815900438990, 'n': 23, 'trace_an': 0}
-
id: 194151023
{'hecke_orbit_code': 31525815900438990, 'n': 24, 'trace_an': -2}
-
id: 194151024
{'hecke_orbit_code': 31525815900438990, 'n': 25, 'trace_an': -4}
-
id: 194151025
{'hecke_orbit_code': 31525815900438990, 'n': 26, 'trace_an': 0}
-
id: 194151026
{'hecke_orbit_code': 31525815900438990, 'n': 27, 'trace_an': 2}
-
id: 194151027
{'hecke_orbit_code': 31525815900438990, 'n': 28, 'trace_an': 2}
-
id: 194151028
{'hecke_orbit_code': 31525815900438990, 'n': 29, 'trace_an': -2}
-
id: 194151029
{'hecke_orbit_code': 31525815900438990, 'n': 30, 'trace_an': -2}
-
id: 194151030
{'hecke_orbit_code': 31525815900438990, 'n': 31, 'trace_an': -4}
-
id: 194151031
{'hecke_orbit_code': 31525815900438990, 'n': 32, 'trace_an': -8}
-
id: 194151032
{'hecke_orbit_code': 31525815900438990, 'n': 33, 'trace_an': 10}
-
id: 194151033
{'hecke_orbit_code': 31525815900438990, 'n': 34, 'trace_an': 12}
-
id: 194151034
{'hecke_orbit_code': 31525815900438990, 'n': 35, 'trace_an': 2}
-
id: 194151035
{'hecke_orbit_code': 31525815900438990, 'n': 36, 'trace_an': -2}
-
id: 194151036
{'hecke_orbit_code': 31525815900438990, 'n': 37, 'trace_an': 30}
-
id: 194151037
{'hecke_orbit_code': 31525815900438990, 'n': 38, 'trace_an': -2}
-
id: 194151038
{'hecke_orbit_code': 31525815900438990, 'n': 39, 'trace_an': -10}
-
id: 194151039
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