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mf_newforms • Show schema
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{'Nk2': 14400, 'analytic_conductor': 28.746144727660937, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [3, 1], [5, 1]], 'atkin_lehner_string': '-++', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': False, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3600, 1, [3151, 901, 2801, 577], [1, 1, 1, 1]], 'cm_discs': [-3], 'conrey_index': 1, 'dim': 1, 'field_disc': 1, 'field_disc_factorization': [], 'field_poly': [0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[7, [1, 1]], [11, [0, 1]], [13, [-7, 1]], [17, [0, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071485968, 'hecke_ring_generator_nbound': 1, '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, 3, 2, -1, 2, -3]], 'is_cm': True, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': True, 'is_twist_minimal': False, 'label': '3600.2.a.q', 'level': 3600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'minimal_twist': '900.2.a.d', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-q^{7}+7q^{13}+7q^{19}-11q^{31}+10q^{37}+\\cdots', 'related_objects': ['EllipticCurve/Q/3600/q'], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.1.d1', 'self_twist_discs': [-3], 'self_twist_type': 1, 'space_label': '3600.2.a', 'trace_display': [0, 0, 0, -1], 'trace_hash': 1550599739667275138, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.958', 'prec': 17}, 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mf_hecke_cc • Show schema
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{'an_normalized': [[1.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.37796447300922725, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.941450686788302, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.6059101370939324, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.9756583222945239, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.643989873053573, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-1.9824814143238607, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.8571428571428571, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.12803687993289598, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.3438638879193574, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.1704114719613057, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.4500351603704096, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [-0.7337993857053428, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0], [1.9291577137538762, 0.0], [0.0, 0.0], [0.0, 0.0], [0.0, 0.0]], 'angles': [None, None, None, -0.2802594295809192, -0.25, -0.03860523957781663, -0.25, -0.10162993209341517, -0.25, -0.25, -0.475143678987147, -0.09643056653874504, -0.25, -0.47891919591951404, -0.25, -0.25, -0.25, -0.2601958236342086, -0.1327323643340909, -0.25, -0.15050687320987896, -0.21387802238104772, -0.25, -0.25, -0.04248706750390202, -0.25, -0.02729563837731189, -0.25, -0.09860101817959613, -0.25, -0.07626965582205072, -0.25, -0.25, -0.1313040894766714, -0.25, -0.10935277476854789, -0.3223243473126395, -0.13405130278919217, -0.25, -0.25, -0.25, -0.3747801724509505, -0.25, -0.40520052693190917, -0.25, -0.35292410285350423, -0.49050560807802196, -0.11010389847717035, -0.25, -0.28714673835587995, -0.25, -0.25, -0.4911168344470843, -0.25, -0.25, -0.25, -0.25, -0.08816806401314856, -0.05933577173627063, -0.25, -0.2833563919842255, -0.25, -0.3412030403502171, -0.25, -0.1901237118169098, -0.25, -0.42104119086998554, -0.39492480056594675, -0.25, -0.18887261301390645, -0.25, -0.25, -0.40002069403835483, -0.1953687196984446, -0.05039780212036976, -0.25, -0.25, -0.24600570189773205, -0.25, -0.2776833513202166, -0.25, -0.3400528610093335, -0.25, -0.0756818878167655, -0.19979728939388497, -0.25, -0.25, -0.2124271970549565, -0.25, -0.17307400397556066, -0.25, -0.25, -0.3208289241555028, -0.25, -0.04374006183288504, -0.25, -0.25, -0.25, -0.4446480332577292, -0.14287467128468057], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 1, 'dual_embedding_m': 1, 'embedding_index': 1, 'embedding_m': 1, 'embedding_root_imag': 0.0, 'embedding_root_real': 0.0, 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071485968, 'label': '3600.2.a.q.1.1', 'level': 3600, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [4, 6, 7, 7, 5, 4, 6, 7], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 1, 2], 'ALdims_eis_old': [17, 18, 18, 18, 18, 18, 17, 16], 'ALdims_old': [75, 76, 77, 73, 79, 76, 72, 75], 'Nk2': 14400, 'analytic_conductor': 28.746144727660937, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [3600, 1, [3151, 901, 2801, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 649, 'dim': 46, 'eis_dim': 143, 'eis_new_dim': 3, 'hecke_cutter_primes': [7, 11, 13, 17], 'hecke_orbit_code': 33558032, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2], 'label': '3600.2.a', 'level': 3600, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [2, 3, 5], 'level_radical': 30, 'mf_dim': 792, 'mf_new_dim': 49, 'num_forms': 45, 'plus_dim': 21, 'prim_orbit_index': 1, 'relative_dim': 46, 'sturm_bound': 1440, 'trace_bound': 17, 'trace_display': [0, 0, 0, 2], 'traces': [46, 0, 0, 0, 0, 0, 2, 0, 0, 0, -4, 0, 0, 0, 0, 0, -2, 0, 8, 0, 0, 0, 6, 0, 0, 0, 0, 0, -2, 0, 0, 0, 0, 0, 0, 0, -4, 0, 0, 0, 2, 0, 2, 0, 0, 0, -22, 0, 42, 0, 0, 0, -2, 0, 0, 0, 0, 0, -28, 0, -8, 0, 0, 0, 0, 0, -18, 0, 0, 0, -20, 0, 20, 0, 0, 0, -16, 0, 20, 0, 0, 0, -10, 0, 0, 0, 0, 0, -2, 0, 4, 0, 0, 0, 0, 0, 12, 0, 0, 0, 38, 0, 14, 0, 0, 0, 42, 0, 12, 0, 0, 0, 14, 0, 0, 0, 0, 0, 28, 0, 26, 0, 0, 0, 0, 0, 42, 0, 0, 0, 8, 0, 24, 0, 0, 0, 6, 0, 56, 0, 0, 0, 32, 0, 0, 0, 0, 0, 18, 0, -8, 0, 0, 0, 0, 0, -20, 0, 0, 0, -36, 0, 66, 0, 0, 0, -62, 0, 42, 0, 0, 0, 46, 0, 0, 0, 0, 0, -24, 0, -32, 0, 0, 0, 0, 0, -48, 0, 0, 0, 12, 0, 0, 0, 0, 0, 22, 0, -52, 0, 0, 0, -20, 0, 0, 0, 0, 0, -36, 0, 60, 0, 0, 0, 0, 0, -8, 0, 0, 0, 4, 0, 6, 0, 0, 0, 90, 0, -8, 0, 0, 0, -34, 0, 0, 0, 0, 0, 120, 0, 8, 0, 0, 0, 0, 0, 8, 0, 0, 0, 12, 0, -16, 0, 0, 0, -18, 0, 60, 0, 0, 0, 46, 0, 0, 0, 0, 0, 58, 0, 104, 0, 0, 0, 0, 0, -16, 0, 0, 0, -2, 0, -30, 0, 0, 0, -100, 0, 10, 0, 0, 0, -42, 0, 0, 0, 0, 0, -148, 0, 20, 0, 0, 0, 0, 0, -82, 0, 0, 0, 84, 0, 40, 0, 0, 0, 14, 0, 16, 0, 0, 0, -24, 0, 0, 0, 0, 0, 4, 0, 52, 0, 0, 0, 0, 0, -20, 0, 0, 0, 104, 0, -116, 0, 0, 0, 98, 0, -12, 0, 0, 0, 54, 0, 0, 0, 0, 0, 112, 0, -22, 0, 0, 0, 0, 0, 58, 0, 0, 0, 76, 0, 20, 0, 0, 0, 20, 0, 24, 0, 0, 0, 22, 0, 0, 0, 0, 0, -6, 0, -140, 0, 0, 0, 0, 0, 52, 0, 0, 0, -98, 0, 16, 0, 0, 0, -96, 0, -56, 0, 0, 0, 40, 0, 0, 0, 0, 0, 32, 0, -52, 0, 0, 0, 0, 0, -28, 0, 0, 0, -4, 0, -40, 0, 0, 0, -8, 0, -148, 0, 0, 0, -58, 0, 0, 0, 0, 0, 2, 0, -60, 0, 0, 0, 0, 0, -52, 0, 0, 0, -58, 0, 78, 0, 0, 0, 114, 0, -28, 0, 0, 0, -80, 0, 0, 0, 0, 0, -24, 0, 24, 0, 0, 0, 0, 0, 122, 0, 0, 0, -88, 0, -68, 0, 0, 0, -24, 0, 76, 0, 0, 0, 30, 0, 0, 0, 0, 0, -106, 0, -76, 0, 0, 0, 0, 0, 16, 0, 0, 0, 86, 0, 122, 0, 0, 0, -120, 0, -54, 0, 0, 0, -92, 0, 0, 0, 0, 0, -268, 0, 72, 0, 0, 0, 0, 0, -34, 0, 0, 0, -80, 0, 0, 0, 0, 0, -74, 0, 4, 0, 0, 0, -66, 0, 0, 0, 0, 0, -54, 0, 24, 0, 0, 0, 0, 0, 16, 0, 0, 0, 4, 0, -16, 0, 0, 0, 90, 0, 24, 0, 0, 0, 102, 0, 0, 0, 0, 0, 232, 0, -132, 0, 0, 0, 0, 0, 50, 0, 0, 0, -60, 0, 44, 0, 0, 0, 30, 0, -12, 0, 0, 0, 52, 0, 0, 0, 0, 0, 92, 0, 104, 0, 0, 0, 0, 0, 56, 0, 0, 0, -90, 0, -118, 0, 0, 0, -118, 0, -48, 0, 0, 0, 110, 0, 0, 0, 0, 0, -56, 0, -16, 0, 0, 0, 0, 0, -132, 0, 0, 0, -192, 0, -104, 0, 0, 0, 70, 0, -76, 0, 0, 0, -74, 0, 0, 0, 0, 0, 36, 0, -36, 0, 0, 0, 0, 0, 60, 0, 0, 0, -150, 0, -216, 0, 0, 0, 140, 0, 8, 0, 0, 0, -120, 0, 0, 0, 0, 0, -56, 0, 20, 0, 0, 0, 0, 0, 66, 0, 0, 0, -84, 0, -8, 0, 0, 0, -48, 0, -4, 0, 0, 0, 22, 0, 0, 0, 0, 0, 44, 0, -48, 0, 0, 0, 0, 0, -32, 0, 0, 0, 102, 0, -44, 0, 0, 0, -104, 0, -16, 0, 0, 0, -122, 0, 0, 0, 0, 0, 4, 0, -32, 0, 0, 0, 0, 0, 46, 0, 0, 0, 68, 0, 56, 0, 0, 0, 46, 0, -60, 0, 0, 0, 0, 0, 0, 0, 0, 0, 34, 0, -56, 0, 0, 0, 0, 0, 104, 0, 0, 0, 26, 0, 94, 0, 0, 0, 82, 0, 52, 0, 0, 0, 86, 0, 0, 0, 0, 0, 232, 0, -90, 0, 0, 0, 0, 0, 74, 0, 0, 0, 212, 0, 12, 0, 0, 0, 54, 0, -32, 0, 0, 0, 22, 0, 0, 0, 0, 0, -168, 0, -100, 0, 0, 0, 0, 0, 12, 0, 0, 0, 6, 0, 202, 0, 0, 0, -78, 0, -4, 0, 0, 0, 72, 0, 0, 0, 0, 0, -192, 0, 28, 0, 0, 0, 0, 0, 22, 0, 0, 0, 220, 0, -80, 0, 0, 0, 16, 0, -44, 0, 0, 0, -24, 0, 0, 0, 0, 0, 14, 0, 160, 0, 0, 0, 0, 0, -24, 0, 0, 0, -202, 0, -20, 0, 0, 0, 82, 0, -120, 0, 0, 0, -114, 0, 0, 0, 0, 0, -20, 0, -50, 0, 0, 0, 0, 0, -14, 0, 0, 0, 84, 0, -104, 0, 0, 0, -42, 0, -196, 0, 0, 0, -2, 0, 0, 0, 0, 0, -44, 0, 128, 0, 0, 0, 0, 0, -140, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48002250
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071485968, 'target_is_minimal': False, 'target_label': '3600.2.a.q.1.1', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48002251
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 72057594071485968, 'target_is_minimal': False, 'target_label': '3600.2.a.q.1.1', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48002252
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407812, 'target_is_minimal': True, 'target_label': '900.2.a.f.1.1', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48002253
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022535184, 'target_is_minimal': False, 'target_label': '3600.2.f.h.2449.1', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48002254
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525541022535184, 'target_is_minimal': False, 'target_label': '3600.2.f.h.2449.2', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48002255
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463079440, 'target_is_minimal': False, 'target_label': '3600.2.a.x.1.1', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48002256
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22517998170407812, 'target_is_minimal': True, 'target_label': '900.2.a.f.1.1', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 48002257
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525541022535184, 'target_is_minimal': False, 'target_label': '3600.2.f.h.2449.1', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 48002258
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 2449, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 31525541022535184, 'target_is_minimal': False, 'target_label': '3600.2.f.h.2449.2', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '15.8', 'twisting_conrey_index': 8, 'weight': 2}
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id: 48002259
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 103582791463079440, 'target_is_minimal': False, 'target_label': '3600.2.a.x.1.1', 'target_level': 3600, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 2}
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id: 48002260
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074097028, 'target_is_minimal': False, 'target_label': '900.2.d.d.649.1', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 48002261
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074097028, 'target_is_minimal': False, 'target_label': '900.2.d.d.649.2', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 48002262
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666820, 'target_is_minimal': True, 'target_label': '900.2.a.d.1.1', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48002263
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511005074097028, 'target_is_minimal': False, 'target_label': '900.2.d.d.649.1', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 2}
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id: 48002264
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 13511005074097028, 'target_is_minimal': False, 'target_label': '900.2.d.d.649.2', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 48002265
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 72057594071485968, 'source_is_minimal': False, 'source_label': '3600.2.a.q.1.1', 'source_level': 3600, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13510798915666820, 'target_is_minimal': True, 'target_label': '900.2.a.d.1.1', 'target_level': 900, 'twist_class_label': '900.2.a.d.1.1', 'twist_class_level': 900, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 3262125
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 2}
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id: 3262126
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 3}
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id: 3262127
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 5}
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id: 3262128
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 7}
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id: 3262129
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 11}
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id: 3262130
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 13}
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id: 3262131
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 17}
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id: 3262132
{'charpoly_factorization': [[[-7, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 19}
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id: 3262133
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 23}
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id: 3262134
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 29}
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id: 3262135
{'charpoly_factorization': [[[11, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 31}
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id: 3262136
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 37}
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id: 3262137
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 41}
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id: 3262138
{'charpoly_factorization': [[[13, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 43}
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id: 3262139
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 47}
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id: 3262140
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 53}
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id: 3262141
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 59}
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id: 3262142
{'charpoly_factorization': [[[1, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 61}
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id: 3262143
{'charpoly_factorization': [[[-11, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 67}
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id: 3262144
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 71}
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id: 3262145
{'charpoly_factorization': [[[-10, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 73}
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id: 3262146
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 79}
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id: 3262147
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 83}
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id: 3262148
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 89}
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id: 3262149
{'charpoly_factorization': [[[-19, 1], 1]], 'hecke_orbit_code': 72057594071485968, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '3600.2.a.q', 'level': 3600, 'portrait': 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WnDhqmU5W5AdygYJR4rA8HmKcNSx3DivKLm+Wyehe3zEZvmRmycC9k8F7J9k+WizYord3jUVZOjJ9p89SmfRw4kPHE8JlU9Xn9rh7e80FJXcxw4Ps3RM5rTF1LOZeA+tGi58eoFfvZdK+zYMMWZC9NcWKmx1PFY7khWeim9fkp/JDhwbJEDJztXPn7wwouPnDq369jpC5+/+ZVvje657aPfbEh8Q7e/1wy+tNwhSSxS8kv3PHrkhT/1m38p3/7CQy/8N285rRdWNrHcabPUabDU8VnqaJY6sNxJWe7ELK2mnFuFw0uC+Q2r/Pz3LHHTZQ1Onp/lzIUmZxY155cs5xYTTi2kXOglTM+OeNG1fV5wBfiyTqACzi/XOLuoObcsGISQJIaab2jWUmamEgxw/FxCtw87N3k06yHWChA+/aHhos0hS6sarJMiq30IE7BYljsR2zZ69IYKoSzChLRrHhdtGbE6EBw/o0mNZq4tadUEgQdJIhiEknPLkrNLlvMrCUEwAi/h5qv6vPBqwXy7ztJKm5PnA84swvnFhPPLCaeX4fCS5XlXLfIL37PC5uk2J87Ncm6pzsKKz2JHsryastKNWemmLPcMiz3JyS6sLnf5jX8TJt/1qvq9/twPG7955b0C+x+sUPjB39/s6N9bBn/fn/wlL7r5ufybf/vvfvHP/urOf/OHf/aFS/aeWN116PRAvuiaPhdvTUmNxlqFtY69sRKQgEAIixYWX8KZpToPHJJcu2eZK3aMaNTA0xLfU/i+plmXNDzJoO+x/1iNOx7xOX4hpJvE7D8ZsmlumTe8aIVrL+nxvCs6HFtMWBwIGsGII2csnW6Tay6WrI5S9h5TtBqap4/DpVstoyhllPpoHTPTgn0nA5RO8WSC9mAYSm66YsBwILn2kpTuMOX4mRa7NyuajYjV0LJxesBKv8tH7oTHjqY8cXTEzq1LXHd5l5nZiNfd3OOtL7Hs2dwijac5enqKw6c8Tp4znLoQc+pCyuELghOrMc+5bIGf/54em6anOXlulvNLDRZWfZY6kpVOSqcXs9pPWelblvuC8wPFSjfhxisW+dE3LsiaFrsWzh3fPRrFz6+1d9dr9dkvPHr/J/i99/z5Nxsy697+XjL4n334r7juyh3q7vv3/6ejJ8799MNPHlfnliOWRoozA8u1O8/z6z+ywPV7GpxfmmGp02C5U2O547Hc1az0YKWTstJNWO4lLHbg5IpA10fccvUy3/mSiN0bm6z221xYrrOw7LPYESx3nERY6Rm6Q0M3tAxGCXPtmIs2GUAQeJZTFzyEDNi5UbF7q2XrxgHnV0IeP9jiuZdaGvUVnjo0S6sZEUUeczOG4QiuvGjEh+6c5vIdCWFo2TAlidMhrVrA08dG1L0m11+W8MSRiPNLPtvmAnZvgYs2RygVc2oRfM8ihGXnpoSZlqQ3DOgPPLoDj+WuYnkVljqG5U7KYiflXAeWRikXbevznS9d5JYrNDWvzdnFNosrNRZXNctdwUrHsNqLWemlrPYtS30411OcX0246fJzvPtHlrh0W5OlTpuVbkB/NIWsXZLWGpt/cWQv/QWPU+mtL3vTNxs6a25/rwB+YP8BarVa/cyZUxc98tjT7zhy/PR/2X/wFKNY0h/B6tAxyplewvMuPsev/cgy111c58LKDEurDVa6NZa7HitdzUoXOj3Dai9hpZew3LWc7wjO9C2IPm+5tcPrbjJcvKVGFDVY6dRY7ft0eoqVvqA3EIxCS5RY0hSUtAQe1APLdNuycTZGeyMOn4148lCASZq85vkR2lvl4b1T7NoCn30g4dZrAi50htS0IkljZmcgiT20l7C01OBFN3T57H0tdm+Bhw6GeDR49U2GRAx58nDK0VM1tPTZNKOZaQrqgcD3BUpAYiCKLaMIegPLat/QGxhWB4alvmWYpuzcPuB1L+jwlhdGYFosrU5xYbnu9HZXs9KB1V5Kp5+wmoF7eQBnu4qFbsrzLjvPu3/kAlftrLOwMs1qr0GnH9Dte6z2BEFjO7Xmpp/Zuv2Kv9i+ffuJ0Wg0vOTSy77ZUCpuf28AfvzoIebn5/2DBw9934GDB3/34UceE0vLfTkMDf2RoTey9IawOpRcGErO9mJuuuQCv/KDS9xwSY3F1WmWVpusdANWez4rPc1qT9DpWTr9lNVeQqdvWOlbLvQEZzuGmekB3/a8HjdfkbBzk6Jd9+j2agSeBBRRIjFGYCwMRoAwzLRGHDxtMTbi9oeahIM6l2zzueXaAbFZ5a5Hprn+Uo+D5/p0Vtq84NoBX3g4YNOsZe9xy//95i57jwVsmpXc8YjilisVy4MuR07Ocv1lEXc9OSQJG9x8lc+eHSOGSZ/bHlaQCg6f0rQbGi1gMJQYK0iNJU4AadC+odO3NFsxO7aEvPDKAd/23IS5Zo3zy1MsrdZZ6bpjs9IVdPrQ6SV0+gmdfkpnYFkeSM71BIu9hOdfvsAv/uAC1+2usbA6xWqvQbcf0B149Aaa3kDRHQqStGYuuexau2v3nh+7+OJL3r+4uBBdfvnfD5D/vQB4kiQyCodvePC+z17SHyTvvv/Bh70wglFkGY5SBqOU/sjQH1l6Q0FnKLgwlJzpJNx85QV+6QcXeO4en9XuFAsrLTr9Gqs9n9W+ptNTdAbQ61u6g4RuP6U/NHQGloW+YKEPcRpy3aVDNs+m9AeW174gZNdmQ5JKtLREMXz58RonLtTYMpPw1OEamAZXbFfccLkhqA14+OCAhcUmV+9q0p5e4b4nPG68tMbSYJWVlTabN1se2Kv4xy/v8+BezfaNHov9DivLs9xw5YD7nkqZrU9z9SV9LnQ6PPDMNHXd5HmXWy67aASyz+NHBRtnY84vxNz1uMcoVkgJqbHs2hLxbS+I6PUVW2cMN1wKUdRgudNguROw2vfoDhSdvqTbh+4gpdtP6Q1SugPD6sCyPJSc7go6w5BbLlvgF35ghedd6i6OTq9OdxDQG3j0hpruQNEfSQZDQW+QMhglXH/9jbFF/cTb3vKGQ41m/VOe55lvNra+6ZnM0WhAFA6+58SRh3/9wrkDsxcWVmg3JFq5QBH3v+zmLEAhLFJapNQ8eGAT/+G9mjffssw7X77M7m0R55baBH6deuDTCDyadU2vLmkNPaaa2l0ww5RNoWEYWnqjgOWFGqdOWqLEcPpcQhBYQOAri5aCwVAh8EgGmufsEuzZarlo24Aw7fG5BxX7Ds3wqucG3HDlCh/4nMUXDXZtG/DEfYpt04oN7QE1VSeKPS70oFnTbN8keGxfxA2X1XnJ9Yv88aeH+F6LVz7f4gUDvvhAxGfvb/LM0ToXb22wa0vK/EzE7g0x1+xKUcqglQUsjSBgfjogij16A5+nDnquRGHogNgfQn9k6Q/cd+8NU/pDS3doWR3CwkBxfsXSmOrw469Z4E23hFx3cZOzi206/Rq9AtyK/lAxGEmGI8EwdAQQxXDXVx7wpqbnfn1+4+bll916078e9Ad/3Gg2vqn4+qYCPIn6IPiBU8fv/aUje780Gw161H0fa50TYhGAAuGWGiFACtdJo6RFyRRfSp44OM+jB5ocPHOBN7+wzwuvGjHdarPcadDs1mgPffoD7U7OSDIcaQahZhRaRpEhii1xbElSd48SH2tAKoGnBTVfMN0SzLRg8wbD9k0DNsx0+PzDcPejHtJM8arnejznih73PBMTjdrc8hxBZzjkwlKTmy8zbJgeUNcBo0Sx0I1RRvCcyzSNVsgj+2u8+IYpXnBdj0f2K7BTPPcqn+9//TJfeCzijgeb7D1R46J5xebZOjOtBlMtqAfgaYuSYCzsPSpIU0GcCKIEwhj3HcOUYWgYhYbByDAIDf0hdENY6Esu9CA0I15x/TJveGGH736lIUnanFts0u3X6A19+kOP/lDRGyoGI8EgA/dwZBiGKWFkGEaGC8fOcPYvPjfbHaT/7U3f/mLd6Q3eO9X65oH8mwbwKFwCkX7/wqm7funCiTs2ajGg1QwYhm5VEwBCIhAIoRBCICUZuEEpi1YWTxnqnmBxUOfDd27ni492ufWaVd71ilWu2d1nbrrB0mqD3jBgMPQyYCt3jwRhLIkTQZK4pd5my4WSFq2h5kOjbphtxWzbOCChz8HTMR+5q8aRk02mgzo3XqW5+douDxzocPtX2zz/0hoXbRnwoTsFSgS0WzGr/RBjQQmYbw/o9nxMUucNt17gw59tsOd8jdc9f0AUL3HXk3PEaY2brtrI627scumODl98ZMATJxs8ftRn+6xkti1oBALfcxehFCCExVgwxhIn2cUaW8LYXcijCIYR9EaClVCw3AOhR1x/+Srv+rZVbr0qZa5dZ6XboNOr0xsE9Ece/WG5EgxCyXAEg+zCGY1ShpFhFFrCCBKjOHWuw/s/fMfGYWR/6Tte/yJ75vzyH23dNPt/BsD//C9/lXe+YSsLZz7+vSYdvbtz4akN0nZp1Gsgkoy3NUI4lAshEUIghERJjZQpSolseTZ4yhJoS10LVkaKpc4MH/1yk/uf6nPLdau865WrXL+nw1xaJ0kCBqMa/aHHMNREsSJOJEkqSY3AWOGyoMIS+IZGLSHwI3wv5PRSyKcfkhw65XP01AzKBOzZ4nPlbsVzr+iiggWePNxi23SDqy+GzfMrLHfbXLNNkhjL5x8MCAeS6WbCq28a8am7Yk6ca3H5JR5nV0c8fcRjx6YZrtu9wD1P9LjvaUEY+Vyxe5YrdgRcsb3H4bPLHDoND+5rcPBIk4YWBFrSDCw1D6R0xGCtu1iTFKIEolTQDwXdkaAbQ2QSjB3xvEu7vOvbutx6TcqW2YDRaIqlTo1eP6A/8hkMNf2RYjBSDEPBcCQZhq5vdBSmzuMPHbiHkWEUOUcnShUXznX4ww9/aeMThy+8uz1bT+DqD/Sip0QUYufa//tCv/+tAP+3v/I+3vnW9/DHf/6279614cBv7dlwcjpQNdJaDSFiwEkQIchYG8fWUqCUQCuVPRq0SvG0wNcG37MEnqXhp0zXBL3QY6U7w8fubnPn4yM2zQx4x0s7XLFjxGjY5+rdlh2bFWHskaZlml9gkdLg6ZTj5y1HzwlWh4ZP3tPg9OIMNvKYqSm2zml2btZcvA2u3tPFyEXe86kmy8tTPP8KzdV7OnzxcYFIPDbOSJqNhEHsI60EK1HapzMSnF8WXGUbvPS5Pe59pM7WDT7Pv3qW/+v1i7z/sz0e3N+kP/JYWm2xe2udy7cMuOmyHt/x4h5nlpf55D0BS4OA42c9Tp/28ZRASrfqGWtJDcTGkiaGmbmYa68aEIYxV+wIedtLQzZOKWZbAXFc4+xCjcHQZxC6VW5YAFs6cIeCUYhbCcKUUWQIo9RJoNhmIIdhLBhEgtBo9p7q8syZr2x468trv7b34Id+Rli+Hxve/b8Tc//bAP7Yo7/Bc65fET/1q9/z9nS47w+v2PhYY342oN8HEAWwq49SOqkgpURJF3hqlT1qgadTfC3wPUPNs9RjSyOyTNVSZuqCQSTpRU2OnmryK382CyZBJAnPvXbA7s0RSQLGGqw12WcQSCXQns/+Ez57D9Vo1jQtX7KhIZifk2yc1WydV+zcknL5zlVSscRvf7zN8RPTPP8yjyt2pQyTHl99MmC67jE3ZZluRTTqTgoZI+mMFMt9y1InpdOv86KrV3lo74B9JxTT7Ro3XTXND75hid/5BDxyqEl/aFntac4vt9m8ocHGmRE750b8u7cPaDc6PHEU9p+UeJ5FKYsQhjw6txaSBHZtTrnlmoQ09oiTAGsbjCKPc4s+w9CtaKNIFfJtGAlGoWAUOdYOI5eVDUNDGBlGscneswVzD2PBMBb0IsFqLOgmhnQw4tHHT80fOfAn83581+49V736K7/xh79n/9UP/rN/OAD/+V//c9778V3qqkcffUs4OPKB//fPTtSeeGaGX/mxLlfs6COlOylCGKQIkNKipIdSFiUVSqlMb0s87TSn7ylCTxJGhiBKCWNLPTaEsSGKLO0EwtgQJhAlglEsCdOAOK2x71CTx/dBai0O2k4bexJ85Wo+WgFcvQXadZhqSmZairlpzcZZuGhzyJb5VWK7zG9/fIrDR6a44WLFxdsle7av8KWnE84vTfHc3ZKZtqHmDwlkgFWCJJUIa0nSiJV+jfNLHjdcUec5l/W455Eam2YEjVqLGy4z/PhblvitTxiePt1itW9Y7SkWVjQbppvMtOvMtKdoN2LmmzE7b4gIvARPJyiVIoULJizuoopjxYUFTZwo4kQRxYowzh4jSRhLwkgyiiRhJFyAGgnCyBJG7riGUUoUZZo+du+PIhjFglEMgwzcK7GkHyWY0YDn7Frhv/7oMi/ccxdfPRi+54u3i+HLX3H1x9966wfSnVd977c+wP/lL3+EvqipVB582998qfPHt93frSVqjs89UMd7j+AXfrDDlTt6KJkilXHgVh5KGfcoLZ6yeFrhaYsXSXxPuJPgCUJfEcUO6HFsiZLUuSJJ5Z5CklrS1JAanN42FODOpZCW4HkQaEEtEDQCSbOhmGpIZqYEG2cTdm4e0Gqu8vF7I+56cpbVxTbXXqTYucXj0h0jUrHK5x9s0PQ08zOKVmPEk4fhmSOaa3ZYBqHiuktjrt1jOXc2ZWHFZzhq8Jobe3zliSEHTyuadUngt7nmYsMvfO8SX356yKe+vIGlrmXnxpSVjma6rZhqerQaHs26pRYYAt8Q6BStnNSSWWultbiElREkRpKkgiQRxIkkSgRxLAlj57xEsSCKLVEEYZwSxYaoQhxhXL07cA8zcHdjSSeGQRgj4z437Frh539oidc8L6U/muL6HYdrQzP9wbOH5D+dnmr+5cLR96Tzu3/oWxvgnjAy7K2+8+jR07/32NPHajMtn+XIJxaav7lXEYWat72sy9tf0WemndKTBi3TTGc7PexpjRdrAq0YeY5pQk8S+YIoFu7kxIo4gSiWzkFIStsvSQ1p6tyF1GZOSeaW5O6Mkk72+FoQ+JJaIGnWBe2GZbpl2DQbMj/TI7GrfPQrkvd/do6NtRrXXiS4aIvHrq2GnVtW+PhXLcvLNa7YrJhpQ6sRc/6Y5MJKgL8bwlgwPyWZnoaDRy0rXcO5xRqX7qrx8uf2+PTdNeZaEPg+Sk5zzR7BD73uAp68wN/cM8Mzp2ts6sZsnE6YaipadUWjLqkHmsCHwAOtncMkBUhRATnuwk4NpKkgScmADnFqiRKI49SRQmyI8sfYZLZj7spkFmTiJEk/FnQTSS82RKOIqaDLO16zxNtf2ufbboBuv8UwrDEMa4zCQ7U0FX9o2aaF9P4cxzPfmgD/f9/7CZLUfO8d9x75teNHTrSnaophYrEIutInlJLPP6j56tM1zq4s8X9/x4CZdkIY1OgOamjl42kPT3v4UUrkafzISZModql0xzjCMVHGSkkCcQpp6pwEY1zAZYzNezgzcDuAu8BV4GkHkFoAjZqhVU+YbiXMTw/ZMLPKvfsiPnh7nf1Hp9k15bFnM2zf7LN9E1x+UZdB0uWBvW3qymN+RjHdgulWyMxUgu9rhHAX1zD0We7GrA4snX7ChRWfiza3eMEVF7j9wQH7T7dpBDGe8hFiij3bFP/klYs87/ILfPD2Fg88Nc1SX7OxnTDdSGjUJPWaIvAEgSfxPBerKEVmHzqUW1wPqzEUQE9Sk61umbWYGJLUgTuJIUpseY+dKzNKHKkMYkE3EfQSGI0STDJkrt7lx966zL/9rj6NwKfTqxNGgbvHHnGq6S2eaqfG/nZ9+gb/+P6PvX/n5W/91gN4p9NBKfUD//2PPvZLC2dPztV9QWIcqygBWgi6wmMoJauh5tf+wmPv4RXe8OI+L72+x6YNEb1unWEY4HsJge8RRprAd/ZeDvA4lkSJW3bjJPO0UzLrj4y5JcZSgtslKTPmBq1cwsT3LDXfUK8ltGoJM+2QLRu6nO8M+N1Penz+oVmWV5pcMi+4aKNg20af7RsFu7eO0P4qH75Lc+Rkk8s2SWZakqlmipQhpxcsgZZIAdYKolizc2OXB0npDhQrXcv55TqXba/xHS/t8Jdf9Dl2PsDTMUJ4GNskTiTP3b3Czu/q8vlHBnzo87M8fKzJthnBhmZKs5ZS8wWBJ/A9F6tohQucpShqMizuIjMW57SkDvA5yJPUSToHdohSV+sS5cmjRDBMoJdIegkMI0M6CNm+ocdLbljhjS8e8NobDVo0WFmtEcYBUeQRxR5hnMcAknNnF+dmCN996bXfofr97nubzfa3DsCXVzoo7f1fn/n8Xb/05JNPb5yq2ewAWZQgy0IKPCnoS0lP1uhEmg9/qcaXn+hxwxVdvuuVA173/A5z0wHDUcAw9Ak8jyjxiLIDFcWKJFHEqSRJJHEqSBJJmgpSI0qtbQSFKrF5RtQli1SWLPI9Q+Cn1IOEVj1kw3SfYTzki09aPvKlKR54apoZ3+OabZYts5JNcz5b5yXbN0VcvG2FJ44N+eRX5plSmvkpQbspaDdiOoOUz361Rst37pCxMAw1b7gl5DP3u5qYTt9wYUWzfWOLN7+wzwP7euw96NMMEpQUDuSmwShyWv+fvLzDZVsu8OEvd7nvmWlOrNTZ3BZM1SwN31DTBt8DrQRKkiXI3PfOy49MJtWMKVe4JAO6IwiIU0GcZsBOBaNEMEgE/RQX80QRzfqAN79qmXe+sstzL0vZNOMxHDXp9n2i2CeMynMWxS7YjRLFKJR0ju7fGDTu/aWLL7/VDAed99Ubf/eNE3+nAF9aXqXf7yME3/PFO+/+1c987gtzS8ur+J5y9SMClHCpZSlAC/AlBBJ60mPgKU51A87c3+D+J/v85bU93vbyIa++ZcTstE8UBoSJY4M40cQZ0JNUkaRZwiYtAW5sxtymTCyIzIZU0tVxaG3wvZTAj6kHEa36kJQhX3hE8md3TvPU0SlEHLBrxrJl2rJhWjE/67N5g2TrfMxFm7ucXOjx+59qkoR1tm8XTLc07Sa0GzHCi+gOm0y3LEIIrIU4kcwGisQk9GKf3iBlpas4vVDnqotb/PA/WuXdfx5wfKGJVnF2YWiSpMYokmyeC3juJV2uvbjP08dP85Ev1bn94WnOdOo0A0XLh6Zn8bXFU6ClO+ZCjFfXGcAad9GlRpBaSFLh/PNUEKUuSTRMBcMUhoklSRJMHDJXG/KaV6zyjlf0uPWamKm6RxQ3WekEhLFPnGii2Mtio2zVTVSx4kaJIhqs8uQjX94YRupXL7vyxmRp8cyf1OtN/i6B/ncK8OFwSLvVfOPd9zz4O3/9qTva/V6XeqBJU+uWyoq/LYU78Dp1xUy+MtRTwUD5DBLNhbDG39zf5K6nBtx0R59//tYeV17UZeO0ot3QRLFPlHgkSQnyNAe4kRgrsdZJAlsElFmqX1kXxOqEwE/wVER3GLPQjfnNj9c4emGGR/ZOY43PXF2wcYNlw5Rgrq2Ym/bYNCfZPJewbX7A3PQKn3/U8PAz01y7XTDTkrQaknbD0KxHCC8kCDRaub9vLaSpZBhqhqOYxAh6Q0Ovb1nuepxbanPz5X1ecNUqH76jRn1ZoaVLghmrSVKfKHY9nhumazxvT5/nXdLnwZec4fiC5IO3T3NhtcGppQBfSZqewM9lmHQkUxB5LlVwTJ5YQWIgNoIwhVECkbGQJpDESBWydWbItTvd+bjxypR2XZMkTTo9B+wkA7ZbYXUmG0twO+dGZhlkxbDb45kn7pzzPPk7Oy9+7spoNPzk3yUm/84AfvLEIbZt3az+4qN/cckTT+5vj4ZdaoF2KWNRKZSSApVYV+uRgk4FnrL4iaWWChpKMFSCgQ4Yph5LUZ3bH57i3meGNIOQf/raDtvnEnZtHXLz1T20cC1iQji54rKSrlba2gpzYxHSooTzzC0JyISnj0oe2qf59AMtnj7RIkoatLRivm6ZbVpmGtb54G3N7JRmblqweTZh6/yQLfMr3PVUyHs+vZEt05r5NrSbinZT0Gok1IOQew8oRpHGazpQWSuIEklNK66/bMj9T067wqdhymrXY3E14PziDD/8uvOcWlzi/sfm8SQgYgwUAAojSX+omWnVmG43ecFlA15y7YDvetkC+04aPvNAjQf21TlwpEkiNGGoGMQKVZQ+VAPPLCdgDYmxWGPwRMqUH1Ej5gU39Nm9ZcT2DTHvenVI3Zc06x5R1KDT87OVVGeEowqvPdfba++isCoTo1lY7HLvvfe1Dx25cMkb3vg2tXffwfTKKy79+wPwp59+Bqmn/Ycffuj7sMmvhcNV2k0/s6GMkybSgVtKx9gqwUmE1KIT8KTAM5YgtdSUoJEKQgOj1GOYegzSGr1eyq9+eAabxGyaH3HVRSPmphLe9vIhF22MiGOR6W0JFeYmv8CkQUjBx75c54nDTYTWHD/T4PT5BrW6YioQTDct7ZqhXYNWXTDVULRbipmWZm4aNkwnbJobsW1jl9Su8rGvtBn2m1y63dJuKFoNSatuaNUSPC/i8/fXCAcSb6PrFs0lSrOueM1NQ+5+1NAPJf1hSnegWe1pzi01uHJ3i7fd2uWRpxscX26hpAHiTC97xKkijF1ipj/SdPo+rXqDZj3kyu0jnn/5iJMXOhw7u4r2Uh4/ovnLLzUQyhWuMTl/0BrAgLXEUcrOTQnvePmQDe2Uy3daNs1BmniEUYsk8VjpeiSxIk51Fgc5QOcAdzFRztRVA6BqBDiQR7HH4ullWtPRrz3+2EODS/bsfv/hg3ujPZde+fcD4BfOn6LXXbzs+PFTv3vvvQ9KTyt8TyGFQQqJkpZE2gzckGQp+MQIdOJ0YpxavOxLB9pSSy1JKoiMJUoFoZGEqSQyHrGBhX6bLz1hsKT89QNuZAPWZPc8i5dZZCKvSJRIpUhijTQaT0taAeyetzQ9QyMwNAJoBIJmXdKqOzk01ZLMtGFuKmF+JmTrfI+UFX7zr2rc8+RG9szBTCNj74akVU9o1COajSH1eoNAuWMghAt2jYE49hgNBcMwpRcq17U0NK5lrulz6vwUL7oq5Mfffp5f/0vNidUAIQzWxpjUEiceUSwZha6MtTXUNGs+jXqNRtCgFsS06hHPvTTC92JuvDThXa8YoFWSJYGMq7evivJM0hkjEUISeArwGYWapRXt6nbSPObJ7pnUSLJAPykC/hLYBVtnQWv5mux3nMP1zFMPS63l73a6g69EUfjU3wU2/6cB/uG/+CtWe7Z+5OiBt5w9fVg06hpjBWTglhVwK+USMFJZVAoqddowSUGnrvcxySP6NIvq88jeiPK1EURGklhJajSxCUgz26t6K7KUmS2pJXgKanVLTVtqKiXwINBQ8y31QFD3JY26pFHTDuBNwXTLMNtOmJsO2TjbZ+vGJd7zacOHbt/EjmnFhpah3VS0GopmAxr1lFY95uyS4fDZgJrvLmjIK/0Eo0ize7Nh84YR3ZHPcGQzFpes9jSteo1WY5p3veICR86e4w8/uQ0tNRZDalISY4kTTRgphpErihrUJI2Rph541IOUTs/FGL6XuoSZl6Kla5SQMs3qfmylscSVcDqQCzomq7I0Lq5JU4kxksSU8U6SikqAnz+vPCYiez8Ht0syxakgTfN8hXO6oljw8CNPiOdcG77l6isvPvylL3xy+LJXvvGbC/Dtm+t+p7P6U0uLCz81HIYy8KUDqpRZ1427p9KSmqyWOxWkmTxJDOjsS6Z58sHY7LUt3iufl5VyzssVRaBU1dxAGdQK0NKgJVlNC3hK4GnrfGMtqAWSmi+pB4p6TdGqS1oNy1QzZbqVMNsO2TAz4KJNSzxwIOTDX97KTC1gU8vQbggH7rqkWTM0awmtRsgD++HxfQ0umbeZ7i3T5sNQcePllksvGvLgU9MMQtee1x/qDOQejVqdem2a73zxMo8fuMD9ezeDVRiTutgmsSSxLepJhqGmMbLUa4qabwh8j8BPCbRB6xRPu+ywUiaTjK40GGERlHquDM5dCbHJHSmT268VKzYHtnEgLl9TADu/OwLLHiv3NLXZ+RWYKJRnzp7/T1bU/aDW+EUg+qYB3NqeDMPRz33+Ux/+18nonN+oaYzNfNdUkApBOgZwB2yVJRVSZdEme25cA61JKZ6necbN5pk3i8kycXmywlpLJfM+tuLmqeo8oaNklrFUVIq2XPYv8BW1QFEPBI26oFW3tBspU82E6VbI3NSQrfMr3L9/yM/98SZOnJrm4g2G6Qa064pmXdGsQbOWUq/F+N6IzsgVi3nKxR/5LTW5FvVp12MGiWGQ1VkPRim9gaRTVzR6AbWgxa7NMb/wfR3+8wckX927CYvCWEOaGpI0IUoMUawYRYphIKmHipovCXxL4CsCbfA85/drZbM6n2xVzWSKEHa8QTdL7duMRGxWy5JmgE9N+ejISGaPogR49jzN9XZOYtnqnKYVIkstJju/e/ef9Hsj/ye+93vf5S0s939mfrb5t07n/60BvrDYZWEx/cXD++76l4POsdpUSxLGtrhSU+nuiREoKUiULa5UIx24iy+mKlewsUUa2RQeLVhjXRd5VgJavTMB8Ex2Z4ElWXJJoJSTRDprRfO0JPDdAKBa4EYy1ANLs2ZoNVLajZipVsRse8jW+VXu3zfgP79/A/tPzLJz1jksrbqk2ZCOveuWRi2lUYuJ04g/vaOFVApPugRXweA2X8I9/smrVrjt4YheFDDIAN4fKnp9RSfQ1PyAwGtz+Y6E//L9S/zs+wX3PbUJYyWpcWn1OHGFZmFkCGuu3DUIBDVPEPgus+lrW2RstTJOJsrSti0AXqY8gYxEcLkE57ZkgXwO4GzqgCmSa2TsTrHi5qtzCXBbPuaYMLbIpoYxPL3vWO3Tn/38Gxv12s/e99UHueXmm/73Anxl8TDW2hc8/dSTdZukaC2xOEClMvuSEpQhexSkUpDa8mp14M7lR3kF59m1vP3KAV24Oooc1PmBn/hcZe9mVmciKYupsjpyB3CJ50lXv+ELaoGbedIIUpp1B+52M2K6PWR+usMD+wb83Ptmefr4BrbPCOaaFWlS0zRrrn6lXkuoBxGeF3J6aQZPCZQ0mS1XBplpKkkSxZYZS5LEdONa1iljGI5SeiNJfaCo+R6+V8PTU1yxPeG//F8L/Mc/gvuf2UhqpAN4aomTNGNyQxgYapFk5KtCgnkeeDpzrpR0uQBJJlNAZI/rYNzJFbKkEKJIDpksOZRni9O08r4pJWdaAbYx5fkucGBKoCfZo00j9j3z1BVvftM/+p04Tv7WxeN/K4DfcccdHDklGt7gE35dd4gyHSxwTJVISFX2xTKgG5O/54BujCXVjC1NJbBzGWILoNtcjuTPn+WzSVEWUUmJ890zcCsps0aJXJ5AzYPAN9Rrlnrg9HOjHtNuREw3h2yY6fDwwRE/+94Znjw+z9ZpxXzTMFUXtGqSRk3RqAvqNXdxuFR/xP17Bf2RT02RXWROg+dNCKkRxImmWVPcfHWPB55uM4idTBmGKYOhohcoAl/he36mn6e5cofhl3/wAj/5B3Df3o3ERhIbkzVLlz2YoS8JfOPY2yvr6LXK72QypZRxebPJeiDPk0I2B3gG+LRwXlh35TWZBDEVEktTm/18PaBnvbHAyTNd74Mfuf2an/1Xb2rc+cXbBy9/xav+1wP8zOkTbN6ybfq2z33y9xeW0hdLkeBrRWosSggSCTK/YqXT3KaybDnGLq9yo8T6rF0BtCmAXTYFk2nv4mQIV1AkZAburMhIFQAHlVUMehp8D9cJ5GcFVkFKPZMXrXrIVGvITKvLY4dCfva9Mzx+bCObpzXzDcNUHZo1QbOuaNQVjYK9U2pBQqsx4q7HfVY7NWZmyjR5DhiTadM4VWycU7ziOX3uesi4LprIVEAuqXmSmqfxtI/WdaQ0XLnD8ks/eIGf/APLffs3EhtNnFUAurJXx+RBLIvqQl9LtM6KsKRA6fzYUHy+/CLMpYrIq9IoE0KTd1N5NKbyWKy84+CuVnamk6+Li8FhJE4SFOGLH3zs8B+96U1v/JHjx4+v7ty5838twMPBaU4fv/CTNjryzmi0TBAoF7RkS5Q0FiMnligjMp2dX+XlFZ/Lj7SQIRTsPRZITjJ3hvQ8I1dob5lX0JW6O68Y1ApXn6Etnucai2u+oean1GsJjVpMsxbSaoyYnerwyIGQn/qDDTx2ZBMbpz02NlKmGjYDd8beNUk9cOxfCxIaQURiQnpRgFASL2fwQoOLjL0yvzj2aPojVy4Q1ZjJQT5KGfiOwQNfupp4nW9Aa7lml+XdP3Kef/97hvv2bSI2mjAVRKnJWFxQiw2BZ/E917uqs7hDK1cirKTMjk/WlZ8/VgqziguzGutMgLsgoQoxVcFdxFW2fF59L50oac7ZHyE5fXaB+x85+M6NWx4/HMfxf/xfyuDWPg1s3Xn4iT++tqmOYqZMUcyUZsFkHmgoY8sgxNisoyQv6rEVgIviQKWmesBEhSnKrKStrpk5a1eDyny5zTp0VBZMaZ11BmVFSHn1YM1LM90cU6+FzLQHTDV73L834T+8ZwOPHtnE/JRmvp4yVbO0MnDXa85OzMFdD1JqfkK7GbH3mOXLjzTxpcRTJgviSo8iP4FxqkiM5qXPjbnk4j6HT9SZb1D2OYYpg1HGwlqhtZdVYjrv+uqd8Ms/tMh//APDV56eZxTXXTIssTSyGu7Aw4Fc56uXKXpbpUqLFU5JUQG4qICcNXqlBLkdB3hRoViuvOutzCW7l8BOTaVOvSA5iFPJQ0+doW/uv/Zn/v0/2XnfYweO33L9Nz4W7hsG+KGjFzh4fMOuuv3Sbwhz/o11fwWTNogTClBXfVJTeW1yUKe5HBFrlrTcH7aFpz3hkqxxSzLmngS3sEiV24JZzYvKWFtbfG3wPEPgGQI/oeYn1IKIRi1kdmrASm/A3U/BL//ZZp44tIENGbin65ZWXdCsicIrd86LceztO4DXg5AoTRkNa9SUu8ikEGOVfHkixQWa2ml5HRJGlmEsKgA3+H6K72k8T7qpAtIrAI6A63YLfvlHVvjVP0+4b98cZzptRk3JdGppJZZaNnEg8Gzm/edOii3YO5cqOcCLz5t96CrOC4WYnZR8VS3BPS4pHQFWwD4G9Nz6LVfzNPvdtJApguX+kNa55Tc+/NCj6ete+YJ/1e+cP9ac2vR3C3AzOorS559/9uyRt4yWT1Cv+XheipA2q+Cr+qO2eG2qVpIShSRxoBbZ0pYnbMalSBXg+SGuqsL8JLhxDzl7l9345XAgVxbraZONmUgLcAd+Bu7ZPgsrQ37pTxt88qvzLPZnmJ+SzNcycNec7m5kgWU9kDQCmzG40961IAIi7nzMZyX2mQsYq8dGjK9QaeqaH9qB5uU3DLh/f0QvDpgqOtYNfuhq1X3tAK6Va8gW0iVosHDFDsmv//Mun7l/yC++bxOnFmcYTmumfUErMTQSCGI3etlXbqCRlweaUhRBcP5YDdSrF6YQRa9IcX5gQkJWgV2Jn0wF/NU8xiTI8wRekfRL3biQQweO8OST296ydX7mT3u94bG/UwaPoy7aa126eu72fzGw95N6HhbQymTBiUWlWUo3z3zlDJ5lwHJAF1q7AHUuQWxpQ02ydlWWZAc6Z5Y83Zy7ACoHuLKuHFfnvZ2uv9P3UnwvoebHBH5Mqz5E6wF3PZ7yR59t8+l7NhKZNhvbgg01J0ucBZj75Cq7i4y5q+wdo3XIvc9MM4g0Wxq2KDIbZ/B8dXOlpDVP8YIrhyTGAXwYC9e1nneuh8YFhzqbDZPZe/lwO4tgw7TgnS/r0wrO8L7PDrn7mTnOxXUGNUk7sTS1dSDXWRyibBaX2Azk+TEUZe24BEnJ4pM7ChZSJR9RwaQ2r3YPlbXnOaOn6wSnaSUmy+9CAFLzF7c9yfaLL/kX3/3GWx/t9PoHp1rN/3mAd5ZP8Def+QLan906Ezz9ku3Nkwg7R5LVJahMX6dSOifFlsxtTFWSlOw9JkdyrU2WTBgDdsV6qNpXxXCgahmusyilzEe7mazmOwO3crUYgRfj+zE1L6LRGOH7A/7sds2v/MlGDi/M4gU1NrcEs0FKO7A0A2hmHfb1wGU7a1lCyNWvpNlK4OTJYjelH/n4SuHLsrmDylfJL+y8diNKPOreiM3TQ1YHLYaxyMatuVjB89LM5lOZ3amyURvVwNVVPr7x1j43XrXAL39wxIc+P89y0mQQeDQ9SVu7GpxAg68omiF0nvSRlarPIpdgS3AXF2lVrFSBztgKbOy41Cy1+cR9jdngdHhaWe2jVHPs5DKnTz79kiP7k60XljoHDxw6wWWXXPQ/B3BrU17/mhfvOnNy33sOPXWUoW6jVOoaaI3JGFuijHG9j5V0rrXjEsWasr4hDx6Lg4CoSBIxIU1ycNuSTbLsm6wCXFqUdKMnSuZOM5An+NpJksAPCbwhx84n/OFnmnziK3McOT9Du+ExW4OZIKUV2Cz1noNbZuCWRVKolmnvwHcXTrsZ8vF7NQeP16llE7iKdjFKlBdjHKzT4XGiuWInvP7GHn/0uTn6DU07mz0SRFncoAxay2xsHRWQe5WT5VaFizZI/sM/HnDt7lP8wadnOXJuiuWkzsDTNJWgkQHdl9ZdOJnLVKx++XHN7UOcPi8znXatT54TU146Ufjmay1FWwGxseMmg7ETLG7L57P1gLvuOch1V1z7nuuuefFrV1e7X1eqfE2AWzsA6gyWvrLdTx/as2n6rMuCyRQrDdaIjLFldqXljxPPx4p3KMBvq+xtxdioZJudMHLGzkEuSmC7x7KgS0mTuSY5e6d4OnGdOzohCEJ8HdJLI373oz7v+8xmTi9NY1Sd2SnFrG+Z8g2NjLkbRfpeZnUqmTTJvPMC3L7LXoZxxMFTAf0oYCbIXJw86ZS7EnkW1lZqUmJNu6nZvT1CBSN6UYuhL6jHljAHuE6zRI1yPrbMS4DXC14V81MDfviNA97y0nO87zNd/vBjcywOmwx1jZpWNLSgrixBYh2bZ32yWpblDXmWcw2Ts45cmXRYYDyWymVIhciqLF7Eabn+zsoC0uLCcN/90QNdPvHFfXtWwtr27/z25x47vRCzbd7j2W5fE+AnzpxHqOl5E8qP2v5nvfk5jzTR2Yd0IM4f8x5Im8uRKovnxTp2AtgZ4EvGFs+SobQVO9AWwB6TJzKrklOpA7hO0SrF92JqfoTvRXRGEfc+Ifmz29t87CtzjNIWvu8z5wumfUPTtzQCS8MvwV0LJEEgCTJp4hJDmTORAdz3XObz6FnL3Q83iGKPoGnXBJj5rUxnu2MXxQrP07zixh4f/kKf/aeaDGtuNEPoWfwEvNjgRQalpPOtpcjKkUtgjXnsRtIINJumh/z77xxw5UUhH7q9xUN7p1gYNhkpH8/T1LSgLiHIByzl9qqsthlWM8S2kggaO0VjjJ4T1KQjlr8utbeosDlFvVGSE0D+3ArS2F28n/zSPd73ve2aj2IWnuPTW/hbM/hFW7fKL96z//m//af3TG1rWX7un3ao+TWiRGOMyiSJY2qVgz1n8jE5Mi5LinsO7EyiVBl8rPDH9eg4Ji9SyqYo93S626JV6gCu0kKOaB3T6cfc85Tgjz/X5vZHpljutJD1Gq26YtqztH1Dw7M0fEvdJ2Ntx9z1QFLzFTVfUPPJKvRMBm5D4Dn9rXTIgVNwulNziZVM344nTsr6GdcH6UCeGEkUaTa1BZfuGPLkiYRB7BFmM779CAc+lU/WzRM1ICc6c/KLJ7ch49TVh7/jFUNefdMKX3y0xwc+3+ahvW2Weg060qfva3wl8KUgkK4RXEu3S50S5UWqRFb2uw6Dr6lfmWTyCqEZKoGnFaSsZe3Eut7QJNfj1mCTlLrX45+/5TQX1T8xtXD2rc+P5PWf42sMD/qaAF++cDrYtTH9vV3tU82pKYGUEYHvmhkmAW6KRt8Ks1fAXDw3uQ6tALxyQMZ4YUya2LECfSdLTKa5DUqmbiB+7mbImIVewl0Paz57T4tP3j3FhW4TUavhtTzaGqY818lT98hkB9R9kd1lVnKa6W5fEOTsnQNcJ/h+Qs2PsDbmzkcCjp+ts2FW4EmT6VhRNvpW2M5WLNQ0VQxDj52bBK+4YcAnvhrRjz2GsaDmuX5VP5ssVa5SqvCr3Rx1yuNqhetLzRsVjPPb60HIO1425NtuXOKvv9LjM/c0uOuJFhc6DYbCZ+hrtKfQwo308KTEEzaTWhaFqEjDcftwHTIfc8FK5hZFAJpOMLa7iwzQZfIIm4JJIInw9Iilrsdff7HXvOEm7/fq9ZNXAsP/YYAvdQwmHX13Et41/W+/az+bNqzgqZQ4Al9nALc5wFVRFJ/vWZnLkvx1/t7YSQDXO7lOTeBYQFkBthvQ6SSJyACudYqvY2q1mFGYsv80HDuj+MgdU3zuoTYXVprg1dBtj4aStDxLSxvqnqXuQc1z4K55biahKzOVlbvIfm4zkJsC5L7n2tMOnzE8eTQAz8uWeVtJ0YsxFFSDMFcvLUhSN875mt0hV23vs+90g2FN0EgEQWwJFZm1ZzL2zt2U3IIstUrhsxdJN5VNH/AYRR71esj3vibkDTevctvDff7iCw2Onamx73SDaDUgCTQjrZHKTfVVgM4ecyYvpAtl8L/mVrgpJagNJagNVMAMBtf4XIh2mzodQ+IAbhM6HfhvH5xmQ3PIv/9nj7Fh9mvvHvGsAF9Z7Ygojn78PR/fN33xxpibLpPceFmCDmJ8lWAiRRSpDOgqY+iSxceBLUvdjchATeVxAt55pF5oPpfUcJLEZLs8pASBm6SapCnnluCOL2kOn6rz5QfqnF6pc/hME4IA1dDUtKKpLU1tnIvgucH5Nc+Na3Mgzu8yu6sM4GSaOwO3lxJ4jr3dhRVxdAH2HmvgyXF7sJAolPXghaOQOykm62tMPK7aOeTSjQOeOpIwSDxasSDU4CeuTlpVAC6lQEg5xuQwab+JIpjN+yjj1CP0fNr1iH/yqpBbr+1yeqXLnQ/6HDkZcNsjDc4s1UiHHkZqYl8hpHQrRdaVL8kynlDIlvVAPhZoUs1S525LrlFN5Z7115IBPE4hNgidIHXKjZel3HhJj8s33bvhta/5V//i+8KT75bBjnXDt2cF+CNf/QxRnHLvw4u89+A8O7cEXLM74iU3jrhqV8zWWcslu0KUlaSxHFsSx4GeS5EM2BUWz9l6/JPZSsResnYhRVSKF6TEqeXIScGTRxR3PNDgqaM+zxyt0w3dHDw8H9X2CJSgoaChDfWKDxzovE4jL5t1deFBJkt8X+H7MrsAbKm9vdRlFj2n82t+jDUR55cloQ3QWuJLi67YbBMEXoA8t1jzfsco8RBo5mcjpBrRjz0GWjinIy4LxrQyYxlIKSpRbD7sCIE1smTyymAkL1XF+IlB6LN5JuKiTTHPvThkGA35p0c7PHXM5477azx5tMaREzXiREGgsFKBkKSykg0qkhTraJUxcZ77wPmjqTxO3I2B2KBJ2bM7ZttswhW7I176vJBrdkds36h46mCreeddj7wT9Lv/hxj8icf+BGE6SgyOiH/3naf4178d8PiBBk8eqnHbAw2mPMNF22OuuSLiVTeGvPz6CKxri6o3yXS2BCNIMvDngeQYg1cveesATTa/xNMWhEFISxxZBiPH6MdOSf789oBBrHjsmRqHTgYs9n3C1Aftg/JQbYUvBXUFDWWpKdw4M5UVHinH2r4nXNKjCm5P4meyJPAh8MlcE5cy97TB95IsIxpTr0VcWEm5474WnV7AzJRAZ158XvQlno3ZTCUgNJIwVGyYU7z65hG3PTTkRKfJ0JNOpmjwEosX55515rHL1NmFVGedyOJvGKvHSibSVOKnilQrEs+NfYhjz1mpXkzTj7n1moQXXBny5peMOHBS8vhej2Gk+NAdDY6e80BIBkNNGqm8fBOrc4BPWEbV9O0YwAFrEKlFGIvNgF1vpnieQVjDy28IedWNI66+PGbn9oQpz7Kh7Y7r4VOS//rnisA7JN70qh3qrz//keRNr/nObwzgcSKwNH/36PHD1939eMhitwaBxghY6HssGMvRZcN9Txk+ekfC/GyCNZYbLot4xytHRa/d/JTh+msimrVsxbGiyIGtPeeiGM7TGQgef0Kz1JXUa5IH9np86is1RrFiFCvOnvMxQhNbDyM80BoRaLSU+EpQk5ZaBuxAWQJlXQ24zjxfXTK3n/dlFuBWWY+mKNjb9wy+nxdopQV7+36MUhFfelTxia+2UL52dtuY/n52Bs+98DTNHQ/FaOTxhluGfPLeLh+6c4p+UqOZ6XAv1+FxnpSxRbeQELIAmPtTsqL1KwA32WgH7Zjc04pEa3SSOqCrFKXcIP2ZWsItlyfcfHmMFSFve9mAUezGuf3NVwIe3OtTDwSLXcXjT/l0BzJTSYJnFeXFzhOuNfD662M2TKeu6SE1vOOVI66/NMYamJ81zE5bNG6lMKkgCl1APT+V8vIbznH4nL5u+5ZLflcIfvgbYvCFpS4bZlvt//SbH738zz8yp44v1wil5wYJgutBsxZjU0JjOd8xnF91Q2MOnGjwqS+5K9GmlqkZw/Ovi2jVXR3wuunJ6qWeuQ6rfcVDT/p0OwqppZuJYrVjJqFxc4E1SI2UEk8KB2ZpCaTBlw4IvgJflTP6HMhF2fCgXSNA3nhcBbdj+Kys1ssZPK3cEwIdY23E6UWfKKwRTEn8LO2tsqq8sSxm3tEDVK3TojvdKKLYY6al2LEhwhcjhknAMBHUtRuCmdeQ5AktJavlrbL4W+5v5K6WKbOnxmTNJ6U0SpI0yxuobC57QpykqNjlErRKkTJh+waTrRiGKy8aEdkhUhs6HcFDT2pWBxJVKJbxoHrsTGfFWM2a4QXXxUzNGGziVva6csfOyVyNiSVRJn9tReJKYfnxN4XEdlF5U73L21u+v53Gq13lTX9tgJ87v8jS0sq7jx4+9bKlSENtFmkpo9tqQKAqz7Ek1tDJf0cZuquWs19qVr7iegCv6rfs5AiBybdcIKs5FaoMcqTMrKwc1FnaWZJt3Jr7xpVHnXXSK7Kt9yjA7dq6FH4Gbl9TlJg6Bs9YXBv8LDvqeTFBEHNy0fDB25qgfTwpygCzkCdiDYNX/eE8QebA5gbrRLHHu1495K/vGvLM+Rb91KORuE1pXRWgLTtxVJ4TqAZ7eeliLoVkpcArv5uiFkZrhZe6eSleBnQly6SZqxvPnguTDQ5K0cIibMqGhuHbX2RApJnMBES+f8Y657yoMRJgFGmsyeexJLEkJjMpcheOCau5iPcUw5GG/rmXycbJd1ub/OjXZfDP3fZFlJT+YPkcm+ouuOklgtAqVyOQrbGWyjqbgx4KsGMtKEvqVcC9Lr5zdssBPh68CCmLFjQlwBMurRwIVy3oSfdaS7Kaiqx7PC8k0lTmoJDtzFZ21ZcAl4VsCXxbtLT5vqkMzknwMvb2dYyUEcfPCRa6NYTWBJIxeSKrX6tyuqvSYQx4mdMRJR5z7ZCdm4fsOxcyTDWjFIJU4KUWL8l0eELhLJUpdDXWqZDHdm7Sbt41IyrSyKBTQ6okSufbl6usWM1tK6NkeRfSoDKQi/xv46ZkCWkL1ysHeu6ArQfwMrlXxmW5KcFYDiUDeZENL4Pybj9g5XyH08tf9NdTCGsAPuMfRSmBlH2sEATSgobAQCxFkTY11TQsufrIgV+lqq8lS8i6ciqF9UIgKVPEbioVeMLiiQy0mQTInxfvZWRfloJSNNj6Sjiwj4Fbukc/B3oefGbgzrt/tCkkiqedPvX9mISYz9xb5/xCHW9K4VdrOKoOChOKtJq6rlRf5kmfUegm2L7uhX3ufWJEN6kx0Jp6YoiydLqSZUFUXnDmNvLK/1IeaOZVm7l1mM1UsZAq9ze1ESRKoFOZ7WLnanmSDOhlMs0UCTYpTSXxlj2XVXBnNm+xV8yznP9KoR2FCcEaB678HjLrIHOWpxSwsNLn0UdPFhtvPSvAf/WPPkPHa7zo1NHbb3z6bEQv8hz7SddQ7NusejBPJMBY6rX4MHz9jVcKQZInCwSo/FFYNBRWm8pSxuXw/PJ5XjehpShGIVSBXcxBUbh+xPUAngecue7WuSyxmd4eryX3vRjfizjXMTxyqA7adyOgpS3S8wWDM87iOXOVPnC1VFQWnngce9xwScjc9JDOSoNBomgo8BL3XVTqBiipuApwHMiLPyQnKjVF1jeZ1egrQ2oEnhGkSpIqQ6oESQbyavFaXg4hc5BXQJ2XTAhMBnKykuY8E10m7caKMcbqV6psPvGZqbJ5+RwraNQjdm07g2oFN37H61/2op/+sY/cU9tQuiljAFfW4BN++yP7/OvPLUC7Jop6hIIF8i0wsGPsbYrAxv1bBtYJLiizkxWAu92FyZIH4yPXVAXkOWPpvDYiqwHPSz1dc3HeqeJkiSq6V0pg5823jr0zza0p9HZuCTrGLsHtFdWJMYKYT38l4N6nWshA40vh5m8XFYTV+SzVOurypBa1O5UKzNSoTFt63Hz1kNff2uMPP90iSgP6qaSWWsKEbOWqVv2ZTM6ZiQvq2ZgcjJZZL6QowJ0qiVLGMbqU2WgJUylFrtYA2RLkY9nmnMnzRboiU8VaMq+O3CtrWHKZMl7WkUuV8rViphGyeaO9fmXJfrs18p51Gfz06TNMtZuv/qu/+eI/9qMVdkwpEmsqDQnjgM5TsGTsncO5qkgsY9dr9mUrDJ6BOweArIBCUtY8VEcb5MzttiDJX5MxOEUb1hiLZ90wnhoHtxunMMHcWc+mn7W3eTpvOEgq95iImL+4s01qA1SRvawGmGVfY+5sjGlwJtr1jLPB3Gw/RZpqBB7vePmAP/1MyKqJGaY1hqnASyhYXEqLTERRdObswsn1U1Jak6ICckGqs9ENKgO5tijj5Iobs+cqGF32eHzepMom1FbrhPJalaIppQB6KVXWAnx8bR8Def7znMFhXK8ngiiaoXPOMjMQ//jSq1/75fPnz962adOWcYB7KsaY6JKdG3t7ts12WVr1GcVrgZ2XtpbBJmNLzddR3O5L50xekScF0CfKMwstPqE5c9BXZ3soJUotnlXcjQ27yYCtlSidlMIOdB33rjHZZsxdBpi6wt6BF/HIIcnBMzWs8lBS4kuDnqzTqAjwSRclvxedTkZU/GoH8jjx2LM15qqL+3z1QJ1Y+QwTQU2Cl1p0IjL5lnXhJJkORzq5MPYnqzpWVKRROcojnwmplSlmSKpM+pXgzmuBbFYmkDM5xeohKuBG5BOz1mfv9W42b16lBHJ1FaJgbwf2ONU8tn/I9Gp/z/Y94SWDQXTbGgbv9s8SJ3WWBuc5shTSHQUEejxAyDh6rErMTn6wr/GxC+auMvkk0CvgVkXNd2m7lZJFuO55UYLbBZmi6BbXBbjlGMCrw39ctz0FsItsZcHcKb52iR3XFRRjifnLOxssLdURgXa+e/UinKxBKclpzCLMm2+rddyFN20UcazZMCt5+yt6PHKoTZjWGCifeuq0eC4flSQDd75WmMwTr0ZDlWxy/jezeY/VjnZ3d62I+VSC/LkstlXPNLjM9zvKpYksmyMmGXyiaaVM960ttJtUAdWapcmyaoBWI2LXti4r9jTnF88RhoPiZwXAv/+nP49SkjMLq3RXW8zWKsX6VZjatc/t+Md51lvu/5fyZOKxCugqi4+NFysZW1YZXIkKi+dyRaL0OMB9nQ0A8vKtA7MMp7Z4RSreZM/TsbtWrnPnmePw0dtbhNJHSZVlL8cvxMkM5ppluXIMx3V4psVTRZJqglTz9leN+OPPDXjiSJ1YeQykxE9N5h4JZGorx8m69jJRXU9N9rfG9y2qMnlqQBcWohttrbKSAJXaclhnMZdFFBd0MqHH3fmsFstRYfIc5F9vra8ydwb8dSDmpjoIrtmt0f4TqPA0bZuOA/zkqdNs37a18c//43/f3V9aIKi7YiQpx9nHjtP1BHuvA+bqazH5fK32fnaJIgrgTI5DlhXGzoPMfGqT1vkmr5n2VhPgztP3Xt6YbNzMkKJFLO/pTLJ7jPIiDp7W9CIflM7kiZ0oj528cMcPyPhAowkvPOvGKRM/mqYnuHzbiCcORqQmYGh8aqmr2daZBlfCbeTqEks5WxryILNk8rLSM+9w18VgU/dePjBVG7IOIos05YSAfLpWmnf3FwZAGVwWgefE+c7RsqZhYsxlWg9nYuJ19v9LXZAcx00836c5s2P35c/7l42lhZ8czM1vcQA/deosq6urr7r20rmf3PvUiHrTLR1rl4oJUE+sMs8WUBbvifGfCVw+pwqEEthlH6OqsKIaG6qZg5yyRlpVQF08z5I8iswLd+B2AC6HAnlVeVJlb5X1dfoRyz3D//tXLZaGNUTgOXki7diqUg7O+dqac2yaQD4npmBw56gkiabd0PzYd/T44iNtlkKfSGqGUuJnPZTlyIeMwav19MIUZbQWk4HbYJETzorIGNwWQXoOdiVFxuBOEqWFi0IhU0odXrYTljIlDzxLq3Ds2EyscusDvIrDSgWqBRuDMR7xqmBrY8dPnjx+8J4kHv41ZAz+xFP7CAKf06dO0aqlGDzixJaj1Jhg73Ver3ubOMHjgx0nWJsyre3m5E1KlPHBNAWwpUCqcvyYqoBaS4nOJIkuAJ5rblMElZ42Bbg9nddfjLO3p2J8P+Ijd3o8fbgO0kNKSZCXxlaszWKP+OxLPms1ISWbFztVVGRKYmS2yZPHNXsGvPHWLn/8uRpGBwylTyBFkfRRUhBXArpJJhdVJq+6EJWaGKNAWbcquDZEitmOKhumWo6VKGfRlJNpXR+nkOPypHBWxjBQvv5GbpPypNrX6yZgKTq9FOOdIUx8ksRtDKEBtm+qE9R8+qsBx1qaQej+qhwbw1X+IWGzbOuzgTz/EhW3xL2dF+bbNQNlxjzjIrAUJZsXDPn1AC5LgBeJnhzg1s3JzqSIp0q3xKsMByo1t2NvT7upVSsdw998qcViJ4Ba5p6ISjD2LBIFIcaZvBqkT9p2RU+rxKS5m6KZaSv+0csGfPLeEUv9gEhphqnM7EmRuTeibMaWJVvmwLa27PoxBZtXutZzZ0Vlz7Ox1yYbh50f9yrIRbZzXiElM3niVueqHhcTckWMA1xYhH0WtBfy2JYXZw5y47ZPCSPJShdSz0PWfBK3tSj6zOmnabZmdx05eP+Ph+FxEAprTdGtLSujHb4R5hY48OcEZpk42RWgj9/F+hIlT5yMAXt89ne1w8UNd2cc3PnOBjlzqwpzr2HwfNxEOXJCK5e5PHpMcOB4DUOAkLpozi2rB6vxg6i4GuWXr9ailEwuKvJEFE5G0W6WarCaK3ZG7NkyYmlfHZv6jsVTJ1N0xcUp2bNa6JXXC8nSzrUZm9vSJzeynBtZjW2UcReNyTY4KBJasiSjAtxGZLNUck0uJqSKmMCDLV6sJ1PK98SEo1LarEKA7wsOnzjM7JZtP37ri1/w2N4DzxzTJ85bZsN4831Pp6/+o0+eZcv0NHUvA5acsAInno/99ckPNKG3Jx+LWSGMg3xcnoiKMyEqwWYJaMfgZKOAqz549Z5taa2q4K6APNuv3stKQ3P2VtlrrWOUivnMV1scXKyDX8oTr2Jdjl2wrB0XMXkbH3NWSUdXdzfLy2gjzcUbIl5384AHn2mA8UhSp8W9NMvupuNSqWTOarCUgdzaikSpyBWZPZfZqiLzu8h277DFuOVUuVXenRdbEFOZ8Kk+z1i60t5WtL1Uwf11XKexeM/mCTN3jndtjbnq4qPsufKGVzeC4WZ/LjqmMa54RRofj2DMe56M/L+hW+UD5sz1rPZgfhAY19qlTBFFGegksAs2V6LShFsBdzafsNy2g7XA1uWAoGLEmzYZyBMnT1RMvRHx1f2Kv/5Sk+HIh4ZGS4EnxqXJ5Oevfud1Ac6E/p6wDKu+eJxoplqaN790xOfuHfDAfh/b9BimAb6guNBU8fdLHVxZSwuQV3MWLvjMLjDl2DyVTo+bCmvnQb3Jtz4xoqK/RSXQHY+hSt1dxgXuPVEAvQruZ+HNtQZH9bXMN8KahbQFRmGNhw60a+CdbcGezQqpHeXzdf5AdSlZ78OMsfUagE9KlPGJpmVwKQrQFPPyVGX3BiWy2pQS3CXI87JZi9blCGWdbcKk1TjQvYKt3V0pF2D6fkQcpXzuvgbPnGiA5yGkykCVzQ2pBJdCjp/USdcoP2hljUUW41Qymcbm2/bJwhNPU00Uaa68KOE1L+zz+LE6YeKTSo+hUfgpE58l98KZYPDMIZv4LKj8YjMY5SaWWQtWCqzC9QRkerxYUaXb8KA4N6ZcNeQkwCfjEiaA/z+Q6VwXlymMIo8zF1q0t3h4bUs4Av30Y7fjacXSco8dW+osd932F+brlQOuQfRaxwTE2Ildo7lZD9Q5Y1cDzHIHglKaVKzCgrFzgJeTUwuJkjG3Y2xbMLUuHsvnXhZcahUT+BFPHRfcdm+DwdCHpocUeeUgFXtwnSxm5XtWaSGvRSmCprFB8hMJn0oBVhR7tFoRr7kl5JN3jXj8SADaZ2QkfqbFlXEb7FalgUgp5AHphLerSidHK0rpIh2b56tKHuQb68AuTZloE6bqpmTn3JTMPpnjWAPwCdBPkuTXBXh28YWx5PySz2dufwQv2I+1KXrb7EF83yKNRCiZCXZRBJnP+jfW0Urr+t7FBxdjV/C6LC4rYK9q7gLkTm9Xs5lKZRWGWUWha+fKnuvqfPAJcGd3L59CmxX4a5W4u47xvJjEpnz6njp3P1WHmgbpGpq9SgnvWGls9V598SwnZnweuqg0lTtHJTVyDOjhyOMl1wx43YsGPH28RpJ4WKEYCo2XUnwmkZYsXn6E9Zm8OsReqZy5HZu71wJpRKHDC78/Z/R8tc0YvBjaOQHusYBzDOSlq7Iujr4GEKtKwv3dmGeOnGVl4Gap6/v29WnULAeOSx55JmDbrMJTlWGRz7JsrMlEVf4zydjlc/dCVgFeaeuq7iwwBuwxqVJN01fuagLcqnLX5SaoOaC9Cqhz58Q5Ju5RqRjfi3nsmOSjd7YAH6SHEKroIlLZRqrVrGvVEcqPnCiOSUXQ5aCiytwVDW6F2xFDZaMfin3iNdZq3vHyIXfcN+Khw26SQGwUg1RkBV8Z6NIcOJU6kPLyAtzqgRqvEs1/qjLQG5nt55MHxbn2lhmbC/dYnENTGdgpKxf/WAKslCTl8foagWYht8ZBl/++EtAIDLdc12fjpphTi5JAg77zq5sQQpAkEQ1vhM0+qNvSonqS1l5F6wUGJXOLyhWaf5jqhbPOTgIiY2kh3IHJtV3OHHkgVwV51ppWbjbldnYoB+CX4B5j7cpj3libSxWlEjwvIU4TvvxAnScP1cHzQLrg0he2Mjm2GliJNYHVpDzJwWMrT4oGiEqNyFh1YSoxKnNUUk0YeVy9Z8RLnu9YfJg6Fg+Fz8iATkUZ+KW5XegAVUoU9wGq+Y2qdakkWGWRVrjWW+sCUWEFVjj7uJAqlaCyZO/svJrqhV+Z675OHsQdpQktLsYQOPEeZTY82/FiGNa4+qIW1+/RGGvR2+bcB4liQRi6MlKtcjbNryy79jRVl5TKhy1/lFtCopAqpTTJl6pxx2R8j5iJ+hNBsfdOsXtx3nw71vBQbl2i1AS4K0PxC/dEpShdAXgmUXwdc/Cs4AOfaxHGHjS8TJ5QtKap6i7B1RVvLKpeSwyTDM6ETKluDmDselpc0wwk3/OaAZ++u8n+0+7iS41ikCpXZZhmyR+E09+pKN2KykpSVIhWAC5tqcVlptGlsVjpzpGVwgHcVGKlnMlNNZZaZ2WrALrq0VdJcH2Ar0+uwn09FzNayXLiM4oDtOdjjUG97z2/tanZ8P7bqZMnrwg0brMjKbK5dCWjFndZ0cNClLUhYlJSTOxVOfmz/H2ZjwPOHrO/WwB34p6PTKh63MWjLnW3c1DGwV3dq6cspsp2f9Bx0czg6YhURvzxpxr86W3TEASgaiilaShLXdlsHAVFg7NXaY0rM6nVRJSknAzLWIBaxhKl7ZhftEKSNf6WvZBKWoQ17NgccXpR8vCTPolwkweMUAjhSmnXi3vGASOqfQjla1sRNRnYqzQ31iPAeNlBtbNr3Xv1/1Nxk4opxIw/lvU6E3+nkEtlFjhJBGEiGIWwefsNm3fsufUL+sL5U9PCDF/bqlssXrGv4WSt9zrEvUamFKn4MWkixp6XCYCqezJRg1Jl7bE6cDumvWUBhlKSqIr2VsVOD5WNqJSdkCR5pWDO3jGejjlwRvLhLzay+SuOvYvO/fzvC8bGC8vK964GmqL6ogDQBDhMtTaknCvoAs8sq2klJlWkKtPiqeY7XzHgE19usPeUBzLCCsko9dBk9SL5sU6zs5nmiZ8cqhXpZN1ri5uNlX82mQFRWpDWyZZcd0vr/oY1mT9usgB1bHUeZ/N1pUnlvSrO1l6U6y6GZQOHEQxGCc2Z7mtH8fFp3R9GxElCsy6xKKLYkqSmAPnXuq21dCYBLoplZ8w2q8qSqo6V48+rAHddJLn+rjzPgZxXu+UavAJuN5HVZI/ODlTKoHK/WyUomaAyeZKqhE/d02TvwVJ7SyGd91100LDuCRRMvl6jINc0iVQbkMc88cpEKm2Eq02RZQo/ijVXXhLyhhf1OfzhgChVIDSp0AyFQKeZfZeTD7mjIqjycRECZ3rJWoGyZcGRle4zqirrClum+AUY6YBvcplS8cGrYK8CeQ3Yq2T5DciUSXAnKUSxZTBMieKENI3Rm2cNDZXSXzJ0BoKudf9iWvk/rwH2xAdZ70obt4Mmv+DaRMD6zQ3jrJ2/zlk7B3vO3AXQVZXJS92t8iAy3+JEGrQsh+YrleJ5MUfOKv77x9uMpEc+Qavsms9WkGoNdFVPjtkBX4N18gRLkSZ3dDk2U91UNbgYq09JjSZJPYI04Uff0uevvtzg8BkNKgajiYXHUAhUWjoashpsToA89+YtoPMLLntPWpeet9iMtXNP3Iyxuc3+jpECYcvVY62ZkAG/At4q2NfGc88O8nyVSVOIE+gPUy4sRWxaSRBeim61uljToVbvsTrwXKSc6eqi3vtrMHcRGDB+heYp+jXBRVblth4DVoEtJlg7T6SMg9uUEkWOM7ge87czMI/53ZW7dCzu6YhuZPjDT7Y5fSEApTNrUGbyxI753sXz6ncfY6nxRNezMhClFs33mBzfmS4f3CPHp2BJRZpots2H/OAbe/zyB3w6sQsIrJWERjnbMM0/h4VUUCrsEuTlf91PVIaebH5T+ShLx0dKWzK4rZy7zImzBYM/S8BZIUmT46qKoQmsVYm1egDz45c7NcMkZDUM8cII/eE7JafPCp580vK8PQlTTVVkEqvsve5ykbNz9cMVz8X4UkQG2gkwTDJ3DuyStcsprQV7ZwX3JaArTK5NxuimkCZOjpiKVMkZOyketYrRQczHPh3wnr9sExrPyROhCnlSNBVPWGJjuruQZBMs8CzsU56kSkazAH2esrcYY8rNvUw5uiwxmppO+OG39Tlw3Od9n3JaHBSpkIyMCzhlSsHgZQFWfrLK1H3VrnSgLiWLtRmbizLQc6TjSl3tWOLHyZiiLj3Dg6mS3BhmxDh+qAD9G1sU0Uqwe5vkdS8acsmlq9SaPnpjvYZt1Vma8hDYokyyms1c84+vo48mfe+1VtDa2oS1hTl2QqLYSpCZbdFd3TJQVV0HU5EqOZgrTC7L6sBCdxePbtbg8gr81RcbrIQ5uB3APem0txbj8mRs1cntsvVOSOXgVbV2DvLcKhyr6pvcetFM1IlLiTIKYzRJqpnyU97yygGfuKfBUk+BjMEoYpwen6wuHAfLszO5ywOVSaG8PiUPNm3G4gWgM5/cWCYY251PhHAMTyZloLzg1sHSpOe9HtLzf19Ji7WKcwsbaM9upB3PobfMK3yh6Sz41OoareTEFT5G1pScvTbilZUrTsCadrR1A7Jq25ModXYJHDumvUsrbW1QmQ+nKcGdjgWYeZCZ73OjK+ztNRI+/aUaDzxZx1S0t2tqyOXJeL1J0ZpVYe+q51+1wtenn4w9CwutlCiTzRC2GnRa6TYeyHzxJPXQJuEF10S8/qYBH/yMDyoCIbFCEBqNEsJtQZIHmqIE9aRcya1Ba51dmzO7kqWMsrJSKCbdjJcx5rbugrcVDJicxHK2tvnPSkvzWZlbrMXdJOFaA50edHoe/lTAdBigp9sKEsXmeQ1Ckaauw7rco3L8ohFr/miVxcefTwK7uAikLaXKBGMLMcHeYhzYpYuSvVYWnY0YkzJzTKTNdHVFkuSOiaxIFOnck8CLOXxC8oFPtzjX891+19IVxStBuWPDRLywRndXfednYZvqbSzRU2H2NVst5kMnx7ru3f457tFtf7KpmfK9r+9zz5MBh89LEDGgMEhGQlY2kXKgykEtxq7CqkWc/bfIZmbnocrmwj3PwZzLlnwldj/LZ7+LTG9nz/PeTFE+p/q8yuZAPkwIW6XZ/ALMtgdPLaMwYX41BZWit89HTAcRaT9mqavp9AUk4+7JWm9yfXBXf68KaASVJXJcd+dLV3Hgi/rqCnOrHPATIC9mZE8+TwvtnbO4zscBqwQlU3RmC/p+TJgafv8jbe5+pO5626S72KWUrmtHlPNXis+aryzVi3kdJq/ifOyEFEw54YdXwDNePlsto3XtZiZ3VFJDIjUq0bzkuRE/9I4uP/f7PmEiXQbKSJLMVZFGVD6bA/nYCAfrWtKofD73utoqlnXXW7DSZgGmKC6AIugsLno7Vq+SZx+rAeWklP1aTspkfU3+TeLE0BuknF2ImN4YE5Gip6eWqXkLDFYXWOlvJUn94qqeBO3Y8jH5XvWDjrG5XVP8XrJgdbDPOuxd2X9eridPpC26vd222aYiUSpjf3Pdnc24LoJLmeD5CXc+5PGJuxuEkQd1XWjvgr2LwJax+3refnXFE+QB5/r0XS1sKqeqVsENVuVVhuO14qmRSOOkSg70JNHUGwlvecmQ2+8ecsdDytmGuMKiWGiG+SpKzoJlQRY4Fi5KeSurjLMIc1Bnn1OCyr5f/tpm0iQHen5+rRCYYvvBLPDM+0Yn8GMr74GdYPG1/x+yz6CV273tRCdhYy9Et0P0B+9oc/5CyN6nGly6xTDdMnhajLkaBWDXAfizZ6PsOoBey+Kiqrer3rKsOBa5/i32U3evC+1dTEItga3VBNBVCW6dgdv3Ylb7lk/f02D/2ZqTJsKVxIpcewsqE6TsGnAX3634/qIC9K+hTypLK1YUltxkCrsA95rhQGWNipQKaVKk0cSh5rLNMa+/tc8De306UZZ+NU6PRyjyfSAkmTc+VkZbrjkWl9wpLkjp3BaVtbSVbJ5LlSzhI7Ia8gLoojjvhsrxsyXDrwFtha2rK0zB3pWfy2wQkacVV18Mr7o55rLLQlrtED3je0SeT0v7RVBTyIwK836t9GrB1M+iv/NAomhkLuTJeLKkDDBLYJfgzn3wMriUxWB2O8bYYwFlnsipuijSdcobUv7kM3Xe8/EWVmjne4+xN6X2lut87uoFPrbSVfTh12DvsUo+JvV3zuRrW9nyTXeNMZhUYqTzxZU0xKmHVIYffvOAQ2c83vMJTZyUIDcIQiFRJh8kkWuFCsgLUGe6ArcIFDATWUo/Z3OyzKZw/6bNVmdbAD3P/GY5VFHR3sJWgAzV8RK5fJqUwpOqASMKvAqhGA2n6fdnEWoavW2DwkexvNGnVtNu5HBWyDQZUI3/Ebsuc48De1zqjDF4NaisvJd73DmzlzPxMu97wjGRObjVhDyZ2LNeZXvPOA0e4/kxh85JPvHlJv2+B3W1lr2Lmu/K6iLKBM+YJJt4ni+bX4/DbakBKnIg1+JizD2xWdNBAXSZA11ipNPiUmriOKXVTHjzSwd87it1Dp3NkgpuQDWpEAzdWuM+o8nAbUuw2wLUmVtClvwpFpzcSclT9469VQbWUp6MAz0HtpxY5YtjVyiGkqkLnphkeCGKf18ISBJLty/o9jSqoZgaSHSUus1cA1/RqLnBlPlY4qK/sMrSlatpvSBBrPehcxAXiZEqA9oxeSKK2Xele1KAO2duUR3MnjsnZmy7DVmRJVJmjknG5FonhLHh9vubfPHRuhsOLj0H8An2zou8lBCMBcPFUjuefs4RLr4esscJfRzolbsxWfawsn2HsTbT3aaUKUaSColKJUYo4lDzyusjXvmCISc/6xGarMDfVUKRoBkJkKaybZUQhYGdp35UAa/cUclqxQUF8K0QJdlbd06tyALPMaCXGVVTJHvKWTlC4Mp6Rf55qvGcyBaZ8SGeBocZF6NYNzhUQqup2DDrobds2bEqbPy5+Tn/TUqYrKm3qnnKEzG5VIyD3K4BdbVOelx/20Lfl8tXDvoKYxfAzoFelo2OOyfj+lsV6fe08jxBStepI/2Eux7y+ZX3T5FaXTonUiGEdPsAiTItP87gVcdnffYeA/fXAvpEsmcyZV+VK4Z86lVWjCVKR6XQ5NJ548JoksTg+yk/9X1d9p/S3PWgxPgig6z7ArFRDKkKKluRJeto8sILz1bb/PNmAWWuw0V2ARjKURK2igcoffI1TRDrdN1XAE/l8xba3ECCRSQgopTA1/hB+3M7duxcVa9/+ba+MAuHm3X7Q4I4q2fOZgBWwFnUXVSKnsY97ErlXx6MqbUFU9UiqTL1ntuBZSpeTVYHVgLKoqDqWcBdlSp6LKHjei1PLQt+5QNT3PNo023KI/2sJNZDS0FdQiDJNrmya2u3x+5ZA3QxJGd8GFFe8y7VRMN05biVr0Xlordrj2tOBpU5gGJS6lV/ZmHDXEKgLQ884bM6rNQWZGFmPkW8rDjM2HIM+N/I1Vq5EPLLpSK9MkFSdjJVfnfNeMDK9KrxeEVUCtTKGCVNLUlqiVPLKEyJU82Boxe+9657n9yvlTIIBL42tBuG1ECSCJJsaud6FbPPFlxO+t0le1dGeVWliai6KNVtMcaliVxHc+c7DKx7V9XAMiuFzZ6nfsoHPjnFX3+pia0pEMqhU2iElGP9lmV/49fomK+yT9W8ncBF9e3i5I0TeSlTYCzQHJ9fmAWZ2fxAmzG3taasURESaRSp0MhhylteNuSZIx7vfq8mCpJKQCWwxiMk667K8+upM7EttgRlxqCWLLuZuRGZAeSCzZyRcWzu7MFyQcjPv6USYOYYSXP8ZCxuxwPK6uPYkcsyv0lqSVLnhTcwBMJgrEE3gjTTNwnWRIwizWDkkrqpGG98qGqfNUCvLD9rQW4nJErVObFMjuAdA3vud4sM4BXtPcbgMq04KVVwp8hK7ckdDwa8/7NNRmk2BV/k1mCWtRR2THuvm5qvAh3GLuYxuTJ2QtZnv3w3g9x7XpPRxK4pobWyktmUFWdFKFeYJbPiLGlIjSbwDN/3uj73Pe5zx6POLsy9caTAWE1oXDtaUUQyaR1mSC2klBAocmlSAXne9FDR3Pnv5KAVEqS1YyRhs+NlqxIl978LvK2lW2vc9RgnMAwt/ZHrKkpxx0VfdfExF/XamMEQTp7bwDCsVwz6Z2FvSsAiKPbUWVeD56n59ZyTHOBVe7AKblHu7KXW6HAz7oFPsrdMywBTxwxC+MU/muLI6QCry92Sx7R3LpHGgD0BaNYBcwHhQiiuQzvjB3NyA4HxjGa1+Kqqx9fWphiZVRzKKosrRGoQQiMjw8XbYn7m+zvc9xMBvVH2ZYwsPleKZpRnWPLiblOC3ErAZKC2FA6LygJKKynbykSuw20lyVNx5fLfqZLemN6u/Kw4bOu7UtXYpTeCIwsJqjOkHsQYY9F/cPsetFasrHS5cGGZay/y2TYny2qwsWW29CjL6HY956ScGT0mUybYfGz07roSxVR88EpfYsbmBXOPuSaV3Xkzz1vrmCSF3/lYi0f31ZznLXPmLp0TT4zLEiXGWVtUwT7B3FnkRHXo5np8veYUTTgnZQMEZTGTdcVMa6oNhWPwIug00oE8lRiR3dNMqhjDDVfE/NhbO/zGR6aJ0ozFoYgKUxShybV4lmuvgLyQKKKS5RRug15bZXMJwpTMLbMps9aWsmXymNpClogiCTTuothiP1lRoh6RnS/hSW68MuGdu/pMz87gBw2MSdHf/rJ30m43uf+hJ/jkvs/Qm/Pp1QX1INseel2/e+I94b5utZBn7aiASQdlHNAl4O2ETBnfn7Fk77TU5dWkztg9CyxrKV+4P+B9H2vRGXrOA8w8b7ImXeeclFnLaimvGvvca/V3cSLGwjJRvBaTgJ5g7TV4HwO6pZoAKlk73+7aFnq8lCrORkylQlrj6lUSRbtm+IG3DXj46YDbv6qgkWRMnX1CKUiMZEQeU5Qgt7jSWArb0nneWazqynpzCWNyuVHKl3z1toC049ZqPo1YZo2g1SxlrpaqSsHacbkilaDhS5q1Bk0tuOk5r2HrRdcSjvro+RmPVstnx0afS3f4TDdl5kNPlIOK8h+tAj0/uTK7ytbT3+PJnIrezoemV2VJRZKUMqXcYdcBPB33u6WzAmWxr7oLLKVMkDph3zHNf/9om0NLvstgZX63e5Qle1cansdAvp48GZMmE9Oa1qqRcZWyxl2osniZWCkaIVgvjT8xJCgvxMq2fkyNRORSRViE1MjYsmc24Uff3uPYOc3B0wKrqwJLgPRIM5AzAXIyG08VNJr53ZCxuCgCzbxgqmDxCeni4DI+R8amk/GMLcAtsqsg1+o5w8vsgrLGstoz7DumufiqGtObagyGKbpRlwSBYHZactFmQatp8HWeUKmmTatBpZ1Yosd31JqUJFW5Uu4EUPW/xzcxUpkMKZm8oruVyV5PJnNKoCuVImWCHySc6wh+8b1tPnFnA+upMh2fSZP12FtVLsC1zsl4cD2Z1KkyeqnDxwE/xtoTYM/fW1uTUtXhOaCrAWje+SOzoqb8eRZ8poYEgyedq9IJJT/564rzqwKCKt0KLLpg8lKeZBda/pixtpIOXHki1OZ1KZUMYxFkSueW2EqDi63KElEGorKKuRzsxXEt5x8aAamxpCYlSS1Lq3E2X9MFndr3JIEfnGvVxW17drZencYdhMjnU5f7ElYLXHLXZPzEW8QY8Cd1eLl3yyTIx3fMNWPOSXXraFWpGHRJqTJTKTPXxD13tSYRhk/d2+QLDzayWpPcEpQZg+fsXe4aXJ03WHVL1pTFVrT4mFSbYO4C/Ov5rdValCqgKT1ja8oqvWqloczclFyPp0IgRJb4yZwVKSXGquw9ibCu4jDQllfdNOINLxzwp5+TRIlwadv8w0uweCRWMMo6g62oypSqJnc5E5sl5GyhvV1BlqxUJcrsZ/ljLkvEhKMiKkFovoBUpYrIA92MvfO+1bQXs2FuijDmNj8IztEboH71136LH/2n16/Wg2R1ttX57qY+ju+7Qnq3k3FltEMuJSYSOOVjmYzIGxAK/TpW7lpN7JR7MI6VwY5ZgXYM3FXmrnbE6wzcWiek0vDJu+v8//5giqPngqyJoUzoIDVCCgIJNekG2etsDFw+W7xM5pSj4Zx9WA7mL6bcCpBSUmyrIsaH9LuqNzmREKOcA1O9VwPaahlDZXWsdj+5KQV5roE1vzsWJwjAWGbbKVdeknDyguLgCe0SPsXVWF6tuQNSjr+Y/J3JK3nyIs/+nbWL1rj/P8ED1f0wcwLI1R1jMg3CyLLYExw9n7Jz126mpqb+zf2PHrz/O97wErdHz6fu72FsQttbZVt7AV8pwFUXltJkbbBYZW+o1ptUtDjZ66pEWS+wFBN7oOcyRZWuiaxIkRzcshJQ5pag56UcXZS87+NN9h8OoKUKSeISO05759Kk6LNk0qNn/Y75SrBZnHIxHlBOJiXyQDz/jfWSPY61zUTCp3RRZJHVG0/fSwHGuF2Hc29cFMwuMywaN/XKOm88Di1X7In5vrf0ePBJn2MLlaWqCDqdDEkQjIQLLslGuFlTrUMpdXlRozKuely6XrqfiQorFzIGJrrxbSUhNP47snJtiUz7G5XSnl3l+ivP88qbWnT6IZBtQjWz+UYa9ToPPSp5/8cv8PzLGly108PXGZNV/ew1+vpZdDfjQM+Dy1y2jO1tXtkeOge2KIJLQ+mm5IVTFVlSvJext0pZ7gl+60/bfPnRWlklmGcsM3ArSbZDcXUMcinDVAXM69mC6wF/0gL/Rm/V7vpJ1hqrTyFzK4QtZYqogL+S6ZTCYoRFGHecjVDutVDuMhKGdGB42fUh//xdXf7LH02zMsyBnaHJiAzkmkSKwkHJQY5xQCYHfEYW+Wcs9rzKS1yyC0JkF0G1w6ewDidAPClfso9R7ngtBc2a4IW7DddfIXnec3exc8/1JOEwv0bh6ksv4k0vvfr2aLX/K5uaGxgNAzo9TZyUoyOkHJcTY3P0Jt6XE1KjTK3bivsxnrhRytl9pVsy0ZWzpjowf56MJXRG0vL7H2/y3o+16MWeK6TKmTtzTdzsvtI5GSuqojzQk9nLMaZeF8zjc66/EaRPdtcXQM5/ZseX8vGEz8T+OnaizS2rG8/b2/IBnsaWe3C2NPzQ23r88Ft61E0CJgWbP8ZgErAJ1lgSC6GB0Aji7J5YQWxws8ytIMm3A7duIleSZRpTW24VbgykaTb/3OazBcfvxbbi+c+tzbYeL+WJwHXktRuKQDVI44s4f87+Ct5Nt6N2A1k15O/91q/SbjXiZhBfOj9l/1G7kdKsCQLP4nn53O2J5t/8tajo7wrDF72UlT7KNWl4Na67lRjX3bIqSzL3pGBtVabkZdZfKTzDk4d8/uv7pzhxIShT8bnuVlmvpRDUcgaXue4utXduF5Z9mNWiqIliqaJ4amKGucgnr2baW1aHl07obTm+w0X5PN8UoKK9q51WE+W71Uzx2oA/0+rVFTe7amq+YeNMyj1PeZxfkI6VJ+2g7LURZf+PqOqEylU9nv0WFfE8tlDllFC+NxGIV0dqVBe5qmzJC9vCCIZxg5Wu/NP77/vKvbe8+PWlRAF461u+Hc+vse/pezm0/xFqgYfnVWf7Vay8CRkybhWClGZN1nI80WMLWbKegyIrvnc1sJSikqWcSMVrL+WJIx4/9sszPHkwwHqylCUFg8uKLWiLQT6TOzWsZw2uJ1PGEjuVQKwExjcoV9Y7+ev43iVz28yJcEwtbSlZjHAXkrHSaVprMVZmv+MmZAnjvPEU6yzfyHLdJTG/+5Or/NB/FTx5KAtOZP5hRLmcZHLF4pjWr9iHJm9pyyRKvirawoXJ3JTsuFibZzFFgY2qFs+PtxUg0kwx5f2g2VUkhasg7A9CLr38Wl72ihczGA6Bfz8O8HprmiBoIFQNKSy1ICXI9o7MPfEiUh9LANkJ29COg55qcseOP18H6AVriyrAU0TufasS2DJL6GjP0LOS3/t4k8f2BqQqlyOVdLx0BWSFLTgG6mpFY0lYk3MH14yFGAN7SWYThPZ15ckYxitZzKJPc+z9PBhdp2bcurndxmQrh3CTaU2ux7EYITPDQDo9biwpBi0sN1wZ8s/e3OenfsOjlwjwoCgiyZspEWAUqRBEeRubES6Tkz1aXDNybhDabC5bngSyFQIpAG8rQJ/oLSiTPWW3vvP881mOTgG0W3U2bpxjMBgUx1WXB9vHEhzSXvPw1FR9TzPo43tlwme88TM/waU15Q7ahOdNCfhxpp4Eeaa7hSmeu6AzrQA+LWSJFClKJCiRor2UgYH3faLJR7/QJMzBPMHcCGfRFQVVz8LeVe97DWNXVuzxZI4ojstaZH9tDl/fScmAwbgON1CMMq4yutPtGciN88NzVhdWILIaFWGlC9qsdc9NFnRm80R8YXn7KwfsPa5538db9GPcATMZCvPHDMKpkWUgmaXqXY2MA7ISea1KCerJJFC1NmUM6LYkyDGLM3udx0oqtUSxYfOGJtPt5uFWIzhkTbIW4Nu2beXEgU/edslO70PTuvYz/dVzCOGTV7jkwU++ZK1tKcpAS8UqrD4vmL3K4hUpsua1GdfguXMicvZOUTqhF8H7Pt3kv763zYUVz0UdouyOL0EuKuxt12Qr18xsqUouJsBefT3B2mM/E18b3Dmqq4VWxXtjL6uF/lTYukz8CJMxNhU2L1wWF3AWm0CRsXfusiARaJLUsnku4ae/vwMW3v+pFr04Y4DMUSm2Wctuxkii7McWNwcx1/BF8gfXjKzyi5Zcx5eSpAD62HEWYwyOKY+JS5667zOKDHObNtCN6x/64Mfuuu2Hvuf1awEO0GxYlNafSdqjN2pjrk/TERZZbEqaR+dFCMt6gcx49jJn9qo0KQqtKppbrAF6fk/XgDvvr5Q1y19/psEv/WGbc8se+God9h7PWHqi0kUkJvbZoQLoSeau+Nxj8VeFp8Xkm/+Dt2pGswS/KN5YP3VfZjvHgJ5ZhsKWnrgQOWuTPeagdyyO0cSRZctMyk//QJelruRDn25BLVs61jB5BjYkMS6r6ItK0RVuIKeaAL3JAvZivx9BMR2riHUmqwkrWd7SYcnKEwhYCtVj0m9+Jo6GY8dUVl/MbX8TR/bdfs9KRzxUCySb5/rMTfepBxGeHi9wGi+IGq8dKdi54ooULDzRGLwG3FmDwqTPXQW3lCkqMBw6pfngp5ucXfBLcIuJu5SITHN7GaB1lpiY7NSpNkIXYGZclhTBY0bfVf39DaqSAsxf8+cV77tqja3rkSOyIZ1VL3x83JtrVs77OPNHVXTlp0Y5vW4USSTZsiHlXd8+YM+OCKLUVULZJLMN08I+dO8brHU2YmTJ7EMqd2cHJsY9N7ZiH1ZsRZPZicaUj8aW1qLr3HEfpxdJTncVx1cUsfWoMXrowx+77Z4f+55vGzuOevLAqtoOpFA8c+wso7DP7s2wZbZJ0nWBxdg2JZlMkYVWqiRvqpJkLNFTCSbHgsyKLBEGkQWXhf6ulsH6hsNnNP/pd6e58+Gaa6Ac87qr3rfzvPMxEFqu1drrDfMZ+52iA3wdmZIfj+ygjF0Yk78v1ndJiqOZM/UaAFf8cVu6CE4tOHdEZAHmekVZAuc5CyOzJJFEGBDCIHLpgiUVCow7r2ZkecXzRvzCj3X42d+d4shZ3zEEVOQK5ZKHwiJIsrdTE6A6AwAAMJFJREFUU7pVeW2KEraoVckHcObuisi+o8jeK2pQ8p9V7qkRLI9g0/wKOzcNmZ3axJW7tmOM5W8m8LwG4Hru2/E9FX3wAyvc+zBcvTvmJ96ZMtd0QUW+PEtKK5CMDUs3ZUJvMyFRqg7KJMDHwJ1W5ErmmniGYxc0//n3pvjo7Q0ikQ1xKRh7XHdLHHuXdd7rbL89VnZQkSAT4CwAXPmdqh34NYm7+sNJvzf7j2CtFnePlZLZ/HWlTpwc9GOZzbIRQhoHYSMcyEWRCc0BX0axuWRJjKWmE97xbQNSAz/7O1Mcv5A5K0yAuyJZbHYx5Sl6st5Og2slU1S0uM1T+HZs8SuADtlOERRyRQlXGHfFjpCf/O5VrtiRUJtu0dr2bRE25r/81NcBOGoTGza3fuLW51x11WBh6WWBHHHkpERui/H9xM0AFCW4Jy3BKkMXjoo0RS3LszG3yOWJzMthnTU4lobXKccXPH7qt6f42B0NIpmNABDr3asZy8rw+ox81pUmTASbFeRO+t9joJ6k7b/FbRLX1brwtWl790fzvX1yBh9vjKDU32M6vApymdV5u3NnMnDnDcVJAp5O+a7XDNEK/sNvT3P8gk82h3n8IjQWtyy4bLFBEOGkhScF3th3EVn8kzdIiIIg83+2COwz/pY4D1xLaAaGi+d9ep0dnL4QcOmG539p49zun4DFNcd1DcCvurjNJz99W/fibc39V19cf3FNoaSwjGK39Z7Q1YIky3jCJ5cnBrGOLKk6J2LSMcmYO89WClF64FImSJVyZlnx078zxcdubxCpCXCvsQXdQfTkeJfOeuydg3lsVB2TUmQc0JMBZslfogT9/wC6JwPMSV+8fFNgqNaeULopkCV3KmCvOCmiwurC5B1HzicvkkLGIlAZQVuSxKIxvP3bhiSp4Cd/e5qzy5XvNxFwZiwJ2eTDBDJZkg3GzyRLPlDI2NJO/P+39+XRlhX1uV/VHs9853t77nt7HmwaeoC2maFxCBr0ocQVceW9p5BgjIlGE2OyRF9UwOWYxOkFVExWHhENivAUHJuWJjZDI9Dd9DzPdzr3nmkPVe+Pqtq79j7n3u4Gmgbyaq2zztnD2Wf66ne+3/cbSjX1jPRxlXwlX0wUKnO4FsBCgmd32ah4pbBzRtv2kSd+NbZ85RWnBrj6bXy/csuigeKqoF5bXsoFsE25OpkMm7eKZMbUhEkryLQ0zlghIZRFll3fp8BNU5bbMBgCi+Cf78/j3ockuKnOufV7DdykOWKZ5t1JXh07l63aQ+j6dyt+HUUyCTlTfCejmU1BHZ5QT3RFIZIJASRXSxaTIKGkaLq4oCZSrZAJWUonD+WFiWhtCxICJkK845oqtu81cfu3CggUjicEufpsAuSMAyEFbGmRmdxnSImEy4nACJFTA3FKgEzWEusCAV7AUa4yGIM+8kX7meGRyi3tbfmWr98S4Ne+eR2e3Pi9kPdM5ycOHYBre8hlfDhWEIFbNzMxyJOWOy5JY1pgh2lheSYsdcK5DGFoTiU1GGASPPyoi3sezqJBDWlqdUBr1hsxNYnX1dEADR3oqqIbiZwPPdkqEaXUbmJbM/XyhKY02dMBt3ZigqYgFaqHDno1CfRWExLcTOjDAtAqpZYgnagVg17IbeJtcEmrDTnhhTUHOBzCcMO6Kh7fZuKhjVnJsVUIn8ePuXpsQMUqGURSFogAsamcSUC+inqk3oU0ONrEJ0QqMkxU8fgMWNU9g+/YXw1vvvotpw9wAFiwZA3CoHaPzX8332RDuYzrwTQYgpDCD0Rmmkz+BSZQSZpBzhLbMbDjiCVRgRwSgpoMxAR+vMHFR/+hhK17HFkw3ALYumNJVLQy7VgmAznJdhCpxKUIs8ml8NK8JRG6T4H6lOBOhTGb6QmJNXDojmVKE1dVNDxp6fX7JKABROqJWFWYIFZYwMTkZ8wQ9pYI+sJDYOmAjy/8eRkfMYAHN2QhvUYx1F+CiqkTLn8TAEQsnuIBCCGMPpd0y4w+s7DeKkeFklgmDThQDwn8UPwz522OZd2dlYtff+E9+aw74XdMJzqQK07nYWXTV6ZMnTVo2YMAHUKIEZhGBZYZQCV1Epq02Dq4E5p5Qg1JheAlsBW4DSKa+BAT+NEjGfz1Pxaxda8Ed5PWnaQmhEqnEtrKDIp/Iw3qSehGK1UFzTd9kNSDSbVuPsn+VI6KUkr07TRfT4TsgXjxKr3NBE/u41xLp+Uyb4XRRKot41SutCyatDKPYtEsH7f/aRnXXlIV4jZjUg8/1U00TgmZ0MsbHPC40MxDCeKQEwn+5L9YLSCocx/UHAU3R1AOq1iweP7gA+u3fGXuwLQJv+oJLTgAtE1fiNHhUfzjXT14dpePtlyA96yrYtV8jmqdavkouizINEcypZJoXFs0A9KtNovALWgJ8KMNGfzNPxXx3O6JwE1jSy4trRVRk+bmPaoKJ10CNinYdcymJET9YJO1PgMe3pQmqikk6niclyKsehQpTFjzWBMXKxGnrbnKMmRN3Bwy+xAyT4Vp3FxwlDhLBh6wtN/HZ95fBufAA2lL3nLWUugnMUbgU3XpOBFLLVNHJS9XhQ1ewLFqURn/Y90oChng0EgJ0+b2w3LaJ/1uJwU40Nc4eKL+x8Njy7+3f9+OXK2NYN+hBmZ1heCci97bJNQaRrJE0pSiJDrIic635Y1q0UpCBed+8FEXH/uHIrbstVuDGynrTdO5JqqAQcs5QdJ6N1GShMOYAnMa7EgWPqgZkNw8NcRVS+4meoIYuHGkQ0mHOv3QOTrRAkhEA33MxUUle2zVCdHUFSlsR5+BClUFFCDcQMhilgyP43X9Pm7/QBmMA//30Uysi08IbvmhpK/EGUFAxJwNIR1QLiVLqbSYlMMygBlFjnmdOcxoz6C96GPp/AWVMZP8cYX3Nl4wwHfv5aynY/Gmm9+VKwej+3IdRQLKXRwdaqA9XwOlHDBCjXtrch/VLbYCu7LkIfSIJSEMBglBDAZuEPzkMRcf+XIRW/dMFoJPgpuSOKCjy4HNed7pAl7dSdacShLz7xjsJGHlFZQjwE/EW1L7UixEO0Aic51OpU06nRq49cnAtEvIOk6CGOgJjVz1OJRcXCSEUEmfhWxB1PINkpNTCDYClRDrBVgy28fn/qwMzgke3ugiRArknMlUZfk0wqLni3o4gpDGRcmEiQJqgxOoHvGOydGeAxBksWmrhandwBVvuLY8s2fmpka9wibDMJ3s4Kzp3ejuKp10zPD6N111gT+1CyjmxbfPhOcRAbupjbHKJUlIfyzi30QqJpQGMEgAQgW4f/G4gw99oYit+xS4qXibJO1cKs4hLE7c2yROhW3VNDNhvdHakidB3rwvwm7qPH3/mQ6eukX7tZ1NAU7EgZ04RzzZvzAO8WvNO5nOw5M3la+i+Hm8XIri6wY4M2QZnAHmESye5eOLfzGKy1fVYbAw5uQqb4VruSyKizOV1yI4PGMcHgPqsiQu4NIZlXMP4CiPh9hzsAGntMwvj7PrLbt40s72TPq9Tgpw07Jx5PBB9Pf3H1qxfN7uxXMc9LTXkHUDWGYYrf8ugB1oXV31RKk4MqmnulI9FG9wcJPg4d86+MDnSti+z0ZUN0YmcCqhwI4kNUG6OkePXray3hNRlua2ay0BrQM/PQPiU04J7lbh+yhiiTTfVumzen4KYmBDAyyLnc8I9ABiZxORMxmBntGUY6r6q8SOp1rZjYUU3COYP9PHP/7lKK5aXYcRhkCoAZvJWwR0XwO7St5i4IzD50CNC6D7jCBgBH5IUPUIjg77KNdddPXN2d03ZeahffsPwLEmZ9mTAhwADIOiNviLfe35yvuWLJmO9sIoMq4P2wphWaIHiWWKe1M2mTe0QuDkTVARSlTRAoNhczCT4OebHPz550vYfsAGb8m5U1acJsFtkNb9vE9ZdhYFrJox2tLZTFnyJHh54jxxfGJ486YHclMz4zoFiV9BqcSSlmjnROBWkwTNFl31fVdOZ7I9c6yi8KhgWYHdiPbHgBcZibxBMH+Gjy99aBRXrK6DhgzwlXLCNEDrYJcZiSwQoGc+eBjCDzmqIcF4CNQDcas2gKMjIfpmzcOxQe993/3+I/soPSV8T+VkAr190+A1xmDZ+SPj28kj5frWS9rz47AtH47twTb9aHEnXeeGVFYQaeFMJl2FcUDI4dg/aGLjZhu3fqOA7ftscHsSjVtZbRonUkXUBGiqzpmQpkDlfPMWgEczz1b8O3JEUw4mkpNDBScS1v8U33OEaR5fKBG1JDHwdQ4u/DKincNTXByRkylAzeMQPlXcXTmYQmblkbJCJFenknszECNWXSB2AZDGw2dYOMvHVz40ik98k+E/n3KwfxCADfGNy5iJlGsg+1DE35760rkBn5lgXFAhSjkofCzoL+KaSxc+su6ytUcqtSry2dyLBzgA2E4Bz/7u8Z3E6P1KW/eKS7LhT9DXUQcnDdhWANvxQUgI3yPyi1A/p8pV0UP4oXjDNrD9sIU77szj/t+4ODFiTg5uXRaUDp0BBWyutXxItj3Wk6sUKE9HPWmy9i3zTEhCZWky6+n9rYDNoX9dUUV6mm8jtZ1WShJUhUDQF7XNZCKVEU8OJrV1Ell9Ks8Xa/4oNYXJbEEqJwOTfQihZ0apUD0HaINhwUwf//CRUdz/Gxd33FnAjoMEcNJehnpSiKiUR+32BAZC28SYYaFeMdCZYVi7cilm9xW/8sTjv925ctWFpwPd0wM4AMwdmA7Tbt9UGR687+mnZ1736PrNuHpVA9U6w1O7KHIZgqvO95CxgSCgiaBrDG4eWe6dhy186msFfP/hDOohBZxTgVvvKyjAnVhmm7TIFkSzSjLRvmT6awzUaHeLGHxMXQhOaaLPYDSBuikymZwISTlRUhIZ5o4tu9oPLRkLmtISRzwp9EkgLbtGYaJEET0HRWkZBKABQ29HiHf/Xg2ODXzynwrYddgCbH3aatqomrEBR9YNcNXqBnIu8MROG+N1E5cu89DRtRwzBxbe1zelf5PhjJ32d3naAHfzfWhUd+4r9qz64L//ZrOx/vGTb3lg01GcGDGxa68D22S4fHUFf3xdGRcuCuA3VL6YiHYSMIAC1CLYdcjCrV8v4Ps/y6COMwe3kgSFQ6nlllCNjiBFN9Q9RYJXp/m3WsOxVYFxEydPUxSiAf50kdx0qjBlidyTCax6fFyz1irAo1MQdS0Guba8pCwK1FE2kwQ/Ud1qmQi50DiET6mSCqHVaGoglxaf1xkci+H6q2sAB279WgG7D1uAFULJg4l/Oo9j9eIqbr5uDFes9GFbBNv3EhwfIlgy0Aa7YN8/Vrjwg7uPH96/fN600wb4qVm6NpzsXDz482f3v/myy5/9+I1TceSEiQ3PduNwpRt7B7vwk/Xt2HHYBkwmMhwiyy3B7RDsPW7iE18r4N6Hsqhz2fEyAe501pNyKEkE7sQS20hab73GMspyTIETUXGGkqBay4M6uJtoiQ7JNNk+Q2seJU5pj9NI1jtgQUua0o8ny9pI9FhdJ6mwxP3FVVg/Uk6kihIrL3qZm3I+43B/tA2lsEgZ0SfIcIZ3rqvi1lvKmNXrA54K7UvupN68zzB/agNvujjAlLYMinYeaxZbaMsDP3xsBXp71z073Xj0jMANnIEFV+OiZX0I6fTbC+GvB+5dP3JD20Gg6BqoeBbainX0FBkQiG6lVIIcBPA4xZNP2/javVl87+EsPCIrf4l+I2i25JoTgph3J6KVOt9uUWeZpiK6JKiDG2gGecIip6x32tHUMX6mIwJiwmIrYqqBm2gSouLhqnBAz1HhPF4/HogbW0rQM05gRMEiEuFNtGSOe6wI0HKZBKWuKYEtfUTGIKKeXLEX0ZucUiAMGByT44arawADvnpvDk9ts9FgKqIpv3zTwPFRC4Mns/DddtQaNlynCmbkcbw+955S78rbh/YcOuPv1TjTJ9zxuS/is38zu2F3tj949/fqlxVobeaUAkd/L8cfXVvGG1Y24PsGouodk6MGgrsfyOHmzxTxxFYHPiES3Kl8kglpiaAm6RRYUxUz0JQ8SDUVRWuRFreVk4CnyUmgt0VOHFft1ghEm7VoLqpMQ9VKLG64o9q4xfvi4600+HTbY4JICU1tJ58f0ynSPJH1c1L7okmacLgVtYu5QyylxrW46dwFVZQQ/9NpKQtETAyTAIsGArz98gaGyhTbdpjwmfpxLMB2ceBkEYPlPEpuG8arWdQbWfR2dm345a4L37H5mSfH3/7G03MsXxTAAeBTt/0Q17zp4/7FK+a/e/j43v5ixsei2TaWz6FwLALTCGGZPiwnQIUD3/lRDh//egFDZRMsaox9CnCT1uBW1MQkal17RKDUq3aaFlvVzkmCV78ncUKW9odCFUD1HoIJoKqegy0AT1sDXAdcE1hJ87HExEByX3MWJIG+2obaB6Dl+QqIuiwqJgpP/k0RDbotQK7hOwJ5vF9QxXyGY+0yD4PjBFu3W/ADAzBtECuHUiYDM3BgwEXDMwGjGwuXvX3n1ee7d771mstfCFTPnKKo8brFc8AY++3wlavWbH3msUxXqQHODfi+bLJjMOw8RvGj9Rl89q4CRsqm1pNYQw9a3BK0RXMqNa6tA1oVMiQtGm/+4aFxb6R+6EnuW3LxaDtJSNL0hEx4JDmSuSYtVBLJVvRjiM6PswehFBESRzlFhqEkPC2UFU60Kn0oLV0sT0gZEwKJ7DnOFVy5KCImXGroovpBSIWcy1xvUSEESBpDGBjn6MiH+F83l+FaHPf/Oo+dgzYIF52ubRLi8AkPQAZLl59fa+uc81tCzshVfGkAXiwWUK/VPn7ZxRdz0tj/F7z+nFvK15HNeMi5DWx6nuCTd7Xj109n0QgoYEoCGelxkluTFKDVsgcSOFS+ST2Q0yrXJNG4J7K8GljR/FjHXRSaT3HxViulNUE1fZC0PGtScEexD9LqIBLcXABbATn5RnRNPPHcNKilohIFeqgCppowiCYKUclbsl0EhVhZGRCOJ4Xm3HKpssgMU3FcvRHB0MMAaM8An755DNes8fDJO4HHnncw5pkYqlKYJz0smj9QP3/Fmi+Bmn+bzWZfKEzPTEVJDzeTYdu3brx16pSOO+b0F73ezmF0lEaxaQfDX32jEw9t6kSD5QDThmo8H6GnCdx61mAczNGpiWpWb9KJHclE+B36cd7ib38CsKfBmwJ92sFsmgAtUwVPMVoAO0qBTe5OhOKVNU2rKPH+VJFDAoxaopZyHKEpKjzuZhYVQ6RC+bq6EqssygmVCktUZUlkb3ITnmeDEgdXr2C47eZhXLRgEOVKDXuHOey2aV6xveeOX/xyw625bJbhRYwXbMHV6J96zGOk5zYHOe/EscanPn8P6A8e7cPTe9pg5k2EhIEHDcCvibyD6Pci2i2dLRj3M1FOZSK/BLq1TgJXX36kVYagntI6IS1JTwCkJ0EL4kGagX5aRlyz2ulMwugU3Xq3oigkpiliJwHjDITErSeioI8OcsITkyKqfoewwpTyOJcFXNZ1xteIFrpiSiCXPyXXFBf5/CiiDdFyzQ9teHUH4BTnz/XxpT8t495HavjhY9NZpr3rUyQ/9QtP7h/0Xiw+T/9/dJJxYOdd6Olwlzyw/uDTN378KSMgHejMm7AMjlGPoFytwSIjAAvgBxQMKp9bLudH9cr4OLdbpb/qSklzR1gt57vVEtxRMUbKqUyfozmQRkRvSJOSQohqbq+cUaIdJ1EtIaUkclAJUQtSJRWZxD1tfr+xo6y/f546R1VOaaqR1kYvsXK02q8fb2q5p69sl+olqef2a0vN6PsMLSXa0FpcG0YIIEQQAiw0wVgOw2PtqNVtmAZDe3EcHENYv+u68HB50XmuOf7ce//gD140Nl+0BQeASrgYdnthR+BMv+Udb+3+2mOPPkk7swFci6DsESx5/Sj+6I3HUK0zfPrbRfxmcw7IQHM44xxvSoT8Z0EDdArcsTuaSn/FBBY4fa/N7Ehi07aROJba18I+NGnh0T+EdjxldXWrHT0gaLLo6j5txXVuTaTALTRqHtWCx9aWJ2kJ4YlrCt5MYFAe/xtIjVu1UeMECQ7OZC9nypk03FTmvMRfgXJewQHTDrHhGQuf/nYJYzUTf3i1ifNmt6Nas+FYASo1G7PnXsauXrP0ls0Hlu6YWjpzzfusAXzhgovws007vXe88ZI7d20/kKVLO744OnQcHSUXvR0Ev3epiSUDDixrHDuuqmLT8xl4ql0/YmoSWW7Enaii9SsjFhdz6mSXKt4E4AlBrt0SgNRpxgTHdEA3JVk1PT79wSfZT3TQa6DkLfYhoY5AAl+Lbkblbkjw8aidmxZRjQI+kEFHlXAFBXL5iDJRw6loCpSKJTrYUgo06gT3/CyHXz3ZBp8WUama+P1VDno7TeRdD1OnToV9svfDC89/w50Xus+ETuHMNe9W40U5mfq4etVcHDp8LLzpPdfuetfbLh9bMNCFaT0G5s8ioMigPJ4DJRaWL/SRdRVZU/1N4ub0No1XP4sWiAJPOZStFqGdyHq3KEdTUGwB9qaUWO0mjietdmoeaBc//e8uXZ6W3tD7g0fOozyeCNcj9Y/A46LeRHZhC4DHqQCx45kI42vOZxwxpVFoP+1oqsWuOKcghKJSo/jdNgeN0EUm48AIKXbsD7DnUIDRWge6p18x1r/w93eNjhwPncKylwqWLx3AASCfz6Beq9y/cuUF73/zG68cGpiRQ0exDtcWDYNCxnHipIEg1Jb0oxSUENhUNIm1CU9GJ9FcvDBhRTxaW+kmqTAxAZrrLFsaZkygtqTpy4vwangK0DrwxP4W29G5JJmTglSOi05RAC2fpRVwtZwXaEUS2gRhPFZLmKawhPLGGEUYGtHNNIDuTlF3G3Kg6hMcH/HRCDNYdsElQ/MWLn//6HjlfsvKvJSQfGkoihptpRIAoFoZ++7KlWvM3o7g9sbQj7t72gaRz1VQ9gJ8/1dFjFccICtWHTYohUsAh8bOY4KGIAlslYg7qfWGdkw7N6GeoJk76/SkleqCFs8BksA+E0vOeevrtc4yTO2XNbFpnTwO+uiTRC4ZIp8TTwieoDuKz+sTQk0QVY0v/ntl8Eb/l5OvSzgBIxSch/IsjobPUCj4ePsVVWx4sobjFQv7fQs9HW245JLLTlx44UV/5Xn+d3t7pryUcATwEgNcjWyuAL8x+q2BeWvo449v++xDT+3qvmiRh3KDY9tBFzAcEMOCaVBkDLGUthk5ibGJUgDTo5XxY20ioIWFVgqyzp2BFCXRrDeS9CR6AiQtaXI0SeLa+vnN557BSIAYTY6n2p8GpsJ7fD6PLpF2NglEiqyRpipETAYAEW9XABeSoHj5OA1cvCDnapKLF6cEktqItFhCOHzfxvxpPqZ01+BWQ6xeaGLtmvNPrLty7ccqNf9bXR3FswHFswNwALCcEv7+a/fcGbKucPvzF34+Zz7RMVopY/OOLEjGhWOayBkcGYNHOreAZZKHEigwt+LZLUrOTnMbCaDHAEo7ktC202rKhK6lnut8hhDXP39a6WgJZsRZh/H5JLLcBHpUUtPLtesklRPZ3TWy1hH1j0L5RH+P6qD2nsV3bIAyhlD2Jq9UOJbN87BoAcHJkzl89N1Th/rn4KPh2L99u2vGe88WDF9aDp4ef/snN6CDmnevu6D/A3NmLh47NmSD0hzytol2i6NocWRNjozJ4ZiAbfAoxzttlVt3gz0F34aW761dSzxOcu+W9EQ7X12lJW5J8lh60kw6IucutZs3n9PEpzXnM1Flr85JOKPJSCZ4cpXkpugm114vsV/knihuHr9FgoBRBIGJhm+i4ZloeBYano1aw0GlnkUYuGjLcXR0LB4re8s+cPhI291nE9zAWbTgatz4e2OsNCN7z2MbpgZPH+LfKeVG3K4sE4UKFNEKwxyizV0jkHWd8ptNJE4lwMub6Ym6qcy4FpNAnZTg5Np2ou5yAqqRtO4tiHzrIy1HAscTcHIeXY1rb4AnjuuWPQIr0UBOdNArK5605npuOKBkRvVKWj1/xMv19y7UFD+QIgKH7JFjwPAZag0bQcBx03XT6uufbX/vXT/t+v7UrpEXFYY/nfEifP7THzd86Fs4WXeNOaXqdUHl5L/s3r3PLdcFqjO2aM3FAdQ8gvEGQc0XixbFaa7p7rCx89kqMhlp5KnjJEqX1dNeoZW6IZUSq6XFUiQim+oaUYosjfPAk8f04/H5hla4lPgMUVQzzprU0xD0iCYhepSWa9fi0XFDOy/eTkcykYxY6i2wo67B0sGX29FS67LOljECz7dQqdmoNUxwEFhmCNcOwDnH0KiJzp6Z9dkD+Xd3z6zfB88IifOXZx17Z5WiqHHPF/473rIE4YZnl/zg2kumvect62ZVLTdEyDiKGYKOAkFXkSLnAtUAGPMJGkyAnGuqSStlRTe0uvVuSWPkSToHT+SQkKT2rUY6wxDaNaGfPyEpP8XQpb9EwlRr6tIkF2r5IdCoRvp6EydaJWlN/Lp6whZS5W3igoQymEYI1/FhWz7GayZOjLgYGnVQrtighKNcreJYbQGOlJe8r3tm5gdbnpz1soAbeIEFDy9k/OTB7+O+b67DG96yYcuVb5u3p1yhVwfVcbenBHSULPR2WFi1pIJqMIJtB2wExIBNSbQymqksE1qDV29gP5H1TlhkbX/8PJKYHLrFJdIyE32ftOREvqm4KCFZ4RM/1u9P3zlGi/PVxKQTXCueuKoSR1eMBPgn9mVI8+RFfOH4O+cwDQbb9lHIVrBxm4+fbCwh8F14gdDJXYehq7vz5KLz3n5o/pJLv1OpLds/e+C8lwt2Z5+D62Pt5Tfgb798J7qM7n+7/IKSRc6b9YVjh3Z0GhjH1G6K180lWLt8FONeiEee6QOz4twUQ7PME42ENU9PALQGSavnpTm6OCcGReI1yQRv5FTnpKQ/3vTcJM8WJymSHV+TK21bO85BRKEBSUUpIaxwJOXxmLtDs+Sx7qeeR2SGoFRkRAUEDCraBeVcH49t9fHJ73Yjxynqszx0liisme3Ida4YzLfZH3763jfdffWfHSChYeHlHC8rwAHg7z/4PwEAIyOjdxuGYT69edNtu7b+urvgDiKf8VHIc/S2+QCTbdkMsb6loXXf1f9yW2GnlVVLh9+BpGMKMjFYm3NPtIOpa53J0J1K3YFLA5+knhMFZYCmF1X7Y5oiixYQA78VLVGLQanXjC6tTSTGSfR+OGWgxIDFQlDCcXyEYnDUArMJjg56yOfasWDJ2hNLV6z+6yAI7n7rhw8CH35BmfIvarwsHLzVaGsrwbbpXatXX/ixi9ZcfKKn04Vrl/GrzRw/2FBEJkOQNTgck8OxAMcUYDekEKtzVF1POFWCFSYBvxqxNW+dZajOSeybYBKQM0E9T91jsm0tZpAKHuiqScyjW3DxhEwYqydEXUXrSsYhFmD1fQMNzxBSoG/CCwyM12z8/lofl54/isGKD8Mu4LLLLjuxevVFH2OM3lUstp0VDJ3OeNktuD4cJwuvUblz9txVQVsx/GJ95Hvt922k4CyPkgPkbIasLZaNM6hYxrnmEXhMfNmKB6Ydv1Y3qoeVSbMVR4tJoA/dkqrzo6DGRHH60wF32mIrC43YwidkwJaXEPY5DqtDyyyMz1HhdoCLOkoCST00iRBcfn4eLcMuhuhzUvcMBCGFQTnCkIISDssMkXUzePvrK9hzbB6uf9u64SsuW/ERDv6dQv7U/QPP5jinAAcA28mBMe+7PTNWDu2tb5nTP1C8o/j0k1bBCJBzgEIGyDoElkFQ8zhGagTlhuLmHJaMrqX5dOwkSqdP25dw4LTnqNGSqXAuQ/ak6bWioXGO013ApAm8iaeJ/O6Yb8cvmpgXCV2aRBFMxc1VazY93A6IJp2Mklg717pUiWIKoZAoqZGFBo4P2ag1KCyTI5cJIPh8AEqyWLtijb/5aOmjV1y6cpebzT2QdV42DWPCcc4BDgCU2uzhR3ffP6XvJnvN8i3VjGF/9dGNm4lFarSYNVDMGchlDLgOUA6GcLjuwGs4KMmCIMPQ8lc0BSShaEBGNVugOd1FTNynliNJATaFQ+2cM1sjU40mC90iJ4UgphbRv4h2LArKkJi6RK6qvJaobpcqiawWFuvWqwQsAkB1AhbWOeN4aAQNjNTqeG53AY5tIp/l8EMCSkNkMgVml9by9u6Ff/rZDy/+Nqsd8AxnycsPpBbj3E8xOb5755dx47tvDKf3lrYYlP6LZbDjhSy5kvIqutod9HUZWNTv47pLT2K8No5N2wqwbAqbcrGaMRULHxv6fVRCpsmISFrvuF8Jko12NDkxOVGa5b44GDSZLDi5TJjuh6jvA0k5zmjtT0RRWqDFa0TMWoyoBQQ0AyBpiSFulhnCsQJ0lSr4j0cZPvd/ulEbN0AJEe3ZGENXdy86u2b+XXv3/Peb7oxH6pWRRqa09FzDKRqvCAuuxppViwCg9tV/vne729Z/28L+ol2vdn68Wj5stOVq6G5rYFoXQ9H1wcJQNIQEEoAwaAzuuLay+bU4tDyVlFIyqQWOjuumEwnaknxweqNV4qCusvAmJ6DFNaLzFbVR2kkyKSpyJqMcFvXZKQwmeqKoswnlMK0A4w2KAydtZMGQsRowDAMzZ84JrWz3p5eszt+2bfNwuGj6lS8xIl78eEUBXI1b3ns9/uO+H4Zvu+5dnxgZGTS3/G7jh4eOPe6U8qPgpIaK58IwDVg0aX0UuE1KIisegbtFBBBAaz6toXyijNX4NJKkKMpK48x4uAKhSjOJ0lUnGk3yoHAi045mmtfHyVbiQLQ8OEThcJhaT5MxCs+3kLUDEN7AeCOHbL6ECy9a0bjqyks+39XZ+YmfP/RjXHXNf3uZUXJ644XQxZdtVKtjCAIOSvHZseGda8aO/Cv95dMn1vzdXdREUETWBFyTI2tz5BwpJ1oElikpC1UrFojG7YypDqtyUkR5HiRFYVq1V5PnyOUKiZZb0pR3MgEtSURGNbqh55skneNk/olBk9tRWkL0PvWWGaovI4+2VfeqkBGwUE5JIuiIaXDYJoNjMzh2iKzriaVqTAbT8FHzhvDtX84MNj8/c+Pfvf8tbPnSgY0E/GOcGCgVC+caKhOOVzTA9fGhz/4rbMsolMcb3zxw4MQ7UT1ER6sVHBuxkTUJ2rIMGRuwTQLLJDANwDQkwBnghxx+wBGEkDkUOmhIiuNqVpnEPF20ZtDaPyjAphKp4jK4UwAczb5BIq1AtoWgE2zrAI/4OOKkKkqFA64StziAICTwfArfl/neBDANDstksEwOx2LIuAFKeQ+2VcGhEwSG0YkFc9rY1Jld/25lMzchCMZI/k/ONSROa7wiKUqr8YWP/SE2P7dnLOO6H9h/4MjOoaOPLT1aPnLdl//lIIIgC9cicC3ANIWTaZsUtiUW0WKMg9UY6hLkhBAYHKJ7L5Lg0gl7U2ooh2yuk+Q1+tMmWr9nohFRJpJ6TfV6WtgykV6gN8uUT1Q54hSqGl7wb+F4M6m0UNRCgkpDtH6wDMC2xJtgsichpQDhddS8cewZWYasO3DfBd3LniXZ3i9XG42xXGnuuYbDaY9XjQXXB+fPA8jN+vnGHV964Od7rtv2zFa4ZAz5rBVlLbu2gaxrIONSWCbB0cEAOw764JzBNgHHJLAtCDpjiMY8ukPHohBhrLCo5j3CgSUwjGTTn1bWGzg1RSFN/xbq9WKrbci1ApTKQaMJybXiBfV64jmWyWFZDI7F4VgBbIuBM2DbPheHT5qwTIKsS5DLcGQc0WvQ9xkc28PADAuzBmZhhC2+b/vg2j/PWcP73rRm6rn+6c94vCoBDgDP7RqCaZlzt2/fvcxklQ8ePLDz0qHj2/HIU0PIWCa62ky0FSy0FwmmdoWo+CP41kMU5REHnTmGnANkHCI4u0VgSuAJjsoRhlwDDJFWkEigEflY3Md54gREM6sJZYak8sdbqDvJLEZJoQwR0DIMAXDFl4UDLZe95oJ6hEyUnREqaIdtcbh2iIzDkMt4aC/UMTRexbcfLKFWyWJKp4G2oomOItDd5gO8ih2Hu7Dq/IVYsrh/fVu7+eVix+zfAcFOQs5sZYVXynjVUJT0WDKnAwB2cs53Anj20Uf5lCmXzPlGxXp+7nNPPWOYlCOfBbpKDL0ddSzsP4nNBx08uL4H+YAg6yiuClgGgWmKgoWQcTCPI2RyRTEoNUY0xVEjoVcnmt3H5+iKTRNl0cCvJz4lGBBN5dok5FAOashef0wA3A8IglAc56Z430pdsS0G16nj8SfqePjxEuZPCeFaDAYFsg6F41DMmbss7Bw4b2cpy2+eOef1RwBsb1p861U2XrUAV0P+ANs5P7bd99kb1qxyp117+cp7n35yY5EER3Jt+WGUCjWUinXksxQhi+U4SglMk8K2KFyHwjQJgoCj1uCoNUS3JpMC3JCFuFQrLCAxqI2IopDIonLZgFINVQyM6LlJjTtRbECSSo/KH1FleioP27Q4TNkC2Q8IxmuA7wsViTnC+och0T4vQ6XGMTwGDJWA3GiA9rYceqfOrqy+5PVl1xq/Pu8PHAIx973aga3Gqx7gahDSC8bYvjde2ndgtDy+pJQjF9kW+9/1sS1B0dzUsevQ8cKmrS7ABCgMSmBSobq4DkUuayKfIchlAhwbC3FkFMhZHBkbgHRK9Ww7Za0TfFxGjsJQqDWMq9xtQbIp1y1wbL0ZxOK/ofzHoFQ6wRDP0R1RIvV+0wQciyHrBHBdDyMVgj2H8sg6FNmMKNu2TGHZg5DC8wHOCC5YHKB/gMHN9I1deeXA0NpVC8yMY76vq3fgMdfNjnYB7LUCbuAcpsuelQ9DKQghDOH48JQpfT/NZgvz1//0h3OmLr7p02NY9xwjszb3Ty3WezozcklxwW1dx0AxR9DTHmLpQBU3vvkgTjZClOsEXiCWXWcsyckFPybRzTKJcF4twdE5B4KAw/MZgpCBMRZZZeUw2qZwcgkBgpCh4YfwfAY/YAiYoB5hmNLupQU3KINjhShkGyjmRnD3zyp4bq+PkyMexioBqnWGhsfh+RwND/DDIjzWW18yb8bmD9x40XOf+st3f/rB+/51TqlYmN/T0/fTEydHhwkhrylwA68hC66Pto4pgDCMVR7sAKh1ByfmHW+95AKjt73w1cCrz9+9Z+/FQ4PHDIMEyLgEeddDezFAR7EGHx7qfoA6TGGFAdmrTwRLlAWn0nqbUpER4ObwAoLxaojxagBCCGyLgBAK0xASpSmlOccSofAwBE5UQ3hBCNMQlAkQoXOqglNc/XPENaoG5bDtAI5Tw/ExF7wBFEcDcB4i4+ZAqQUnk0NnT1fYN2XGhlzO3k740C221QgLWRefuP3rfNHC6dVz/XudzfGaBLg+iDkPiP204OTgyE2u67QfP3HyMw88+DP76JFD4awZ+Qu624IVGeMwLKMCL6giZCE445F6AikdMpm+ahpCeTFoDNhchqOQDdFZquBEOcThvQ6KWYJ8hsKgYhIQIuiF6wCFbIhizsfx0Qae22egM0+RzyrtWrQzDilBGMbOoir4CEMKP2qxEaJSb6BW8TG7O4Pevh60d9hPFEv+k9OmTzeWrbjCKxQ6/sb3veFsrnSuf5KXdbzmAZ4eXZ1tADAM4E8AYOsz68FBLjVI4xrK+6/PO0MLWPkI2gtD6HAoCpkGMnaA4TEGEANdbRaoQWFZwtIKmVC0vsi6DJ0lD+fNP47f7DBxZKRHKBgmh2PzKLfboCJiWMz5mNI5jg1bxvC7fe04b5YFw2BwLAoOkY6qloZ3LCER5jINeH6A44M22kom2ttysO02vPPNq8DCPgz0uM/3dOXvzefshzjn6y+/5opz/ZWf0/FfDuDpseh1lwLA+lplaD2AR0zqzRk/fJQVCz9gqxf19a9a0v3Xw0MHsetogK3PH0elOoZSjiPriFD4sWGOtryFfAZwrAClfB0N38O+kxZG6wQdHkcQxiugCWWEwDI5Mk6IfK6BGb11UIdjuEJQcBlYjsEyTLSX6jh6MsR4hYLAQFs+QF+3DW71YCzIoW9mPzL5g7e5mS17bnrHlZSYU2khY+4C8NOe7o5z/dW+IsZ/eYCrkcl1AMBP1faJEydgWU7b0MmjG3fvMUByDX/JwiV/UcyQdaU8RTHH8MTmR/DrZ8ewal4WlkWRyRCU8mU8v9/Df/5nDsPjAboyDO1ZQTOCAPB9Cs8DWBjAoHW41jguPm8UM3+WRXm4D7bjIJsx0dVhY8XiUWzcUsL8+Zehs2Sjo8TRUfQfrtWOfLFjtGRNnfk6TJt69fpGwxuZ29V5rr/CV+T4/wCfYHR3dwPACIAfAcDe/UcAYBs467UtMNv0sWXHJow1xgFiwDBNhGHDnzJr9a3jxqxrl12Q8+cFLma3AdM6CIp5E7ZFYVsietpeCNHTU0GpewSOX8cb1nZZ5er0Hx/b9dtbLStjua6F7naOQiGDJYsXo1Rw4DqgtkWPtQN75i976VsNvxbHa0sTOsfDG/kJCCG9uw7sLX39QZc36hZmFAn62ikKWQOmKSVFSlDMM/R1VtHbOYqxaoB7H2knTm7eKDg/dtMNa8/1R3nNjP8HldaqHaGZbrUAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6Mzg6NTErMDA6MDDGLMIRAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjM4OjUxKzAwOjAwt3F6rQAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61426165
{'hecke_orbit_code': 72057594071485968, 'n': 1, 'trace_an': 1}
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id: 61426166
{'hecke_orbit_code': 72057594071485968, 'n': 2, 'trace_an': 0}
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id: 61426167
{'hecke_orbit_code': 72057594071485968, 'n': 3, 'trace_an': 0}
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id: 61426168
{'hecke_orbit_code': 72057594071485968, 'n': 4, 'trace_an': 0}
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id: 61426169
{'hecke_orbit_code': 72057594071485968, 'n': 5, 'trace_an': 0}
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