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{'Nk2': 17600, 'analytic_conductor': 35.13417688936337, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, -1], [11, -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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 4, 'field_disc': 17424, 'field_disc_factorization': [[2, 4], [3, 2], [11, 2]], 'field_poly': [4, 0, -7, 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': 1, 'hecke_cutters': [[3, [4, 0, -7, 0, 1]], [7, [-12, 0, 1]], [13, [0, 1]]], 'hecke_orbit': 55, 'hecke_orbit_code': 243194379911565616, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '4400.2.a.cc', 'level': 4400, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'minimal_twist': '55.2.b.a', 'nf_label': '4.4.17424.1', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}+(\\beta _{1}+\\beta _{3})q^{7}+(1+\\beta _{2})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '4400.2.a', 'trace_display': [0, 0, 0, 0], 'trace_hash': 2174217755025996918, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.101', 'prec': 17}, 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mf_hecke_nf • Show schema
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mf_newspaces • Show schema
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{'ALdims': [10, 13, 15, 9, 11, 11, 13, 13], 'Nk2': 17600, 'analytic_conductor': 35.13417688936337, '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': [4400, 1, [2751, 3301, 177, 1201], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 685, 'dim': 95, 'eis_dim': 71, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 13], 'hecke_orbit_code': 33558832, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 4, 4, 4, 4], 'label': '4400.2.a', 'level': 4400, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 11], 'level_radical': 110, 'mf_dim': 756, 'mf_new_dim': 95, 'num_forms': 57, 'plus_dim': 43, 'prim_orbit_index': 1, 'relative_dim': 95, 'sturm_bound': 1440, 'trace_bound': 13, 'trace_display': [0, 2, 0, 4], 'traces': [95, 0, 2, 0, 0, 0, 4, 0, 95, 0, -3, 0, 2, 0, 0, 0, -2, 0, 12, 0, 8, 0, -6, 0, 0, 0, -10, 0, 10, 0, 30, 0, 0, 0, 0, 0, 10, 0, -8, 0, -2, 0, 16, 0, 0, 0, -4, 0, 103, 0, -12, 0, 2, 0, 0, 0, 24, 0, -22, 0, -6, 0, -40, 0, 0, 0, 22, 0, -8, 0, 34, 0, -2, 0, 0, 0, 0, 0, 60, 0, 103, 0, -8, 0, 0, 0, 16, 0, -22, 0, 64, 0, 24, 0, 0, 0, 2, 0, -9, 0, 2, 0, -12, 0, 0, 0, -16, 0, -46, 0, 42, 0, 10, 0, 0, 0, 34, 0, -16, 0, 95, 0, -8, 0, 0, 0, 24, 0, 24, 0, 0, 0, -32, 0, 0, 0, 26, 0, 64, 0, 8, 0, -10, 0, 0, 0, 10, 0, -62, 0, 36, 0, -10, 0, 0, 0, -6, 0, -76, 0, -16, 0, 56, 0, 0, 0, -8, 0, 73, 0, 28, 0, -6, 0, 0, 0, -36, 0, -62, 0, -30, 0, 8, 0, 0, 0, 6, 0, 72, 0, -54, 0, -2, 0, 0, 0, 50, 0, 56, 0, -20, 0, 16, 0, 0, 0, 56, 0, -4, 0, 44, 0, 32, 0, 0, 0, 32, 0, 80, 0, -52, 0, 18, 0, 0, 0, 48, 0, -14, 0, 12, 0, -58, 0, 0, 0, 16, 0, -4, 0, -18, 0, -128, 0, 0, 0, 72, 0, -72, 0, -70, 0, -8, 0, 0, 0, -34, 0, 44, 0, 34, 0, 76, 0, 0, 0, 22, 0, -14, 0, 24, 0, 32, 0, 0, 0, 50, 0, 132, 0, -2, 0, 76, 0, 0, 0, -160, 0, 69, 0, 90, 0, -102, 0, 0, 0, -12, 0, -24, 0, 32, 0, 36, 0, 0, 0, 12, 0, -24, 0, 120, 0, 2, 0, 0, 0, 18, 0, 10, 0, -112, 0, -88, 0, 0, 0, 108, 0, -16, 0, 158, 0, -62, 0, 0, 0, -66, 0, 162, 0, -16, 0, 104, 0, 0, 0, 28, 0, 18, 0, -136, 0, 10, 0, 0, 0, 96, 0, 24, 0, 107, 0, 2, 0, 0, 0, -22, 0, 30, 0, -56, 0, 10, 0, 0, 0, -20, 0, -82, 0, 40, 0, -110, 0, 0, 0, 28, 0, -78, 0, -188, 0, 64, 0, 0, 0, 10, 0, 120, 0, -10, 0, -48, 0, 0, 0, -16, 0, -26, 0, -134, 0, 40, 0, 0, 0, 48, 0, -76, 0, 18, 0, -92, 0, 0, 0, -96, 0, -16, 0, -116, 0, 10, 0, 0, 0, 40, 0, -184, 0, 55, 0, 14, 0, 0, 0, -132, 0, 82, 0, -18, 0, -144, 0, 0, 0, 22, 0, 124, 0, -14, 0, 86, 0, 0, 0, -18, 0, -56, 0, 310, 0, 4, 0, 0, 0, -30, 0, -8, 0, 76, 0, -180, 0, 0, 0, -54, 0, 0, 0, 60, 0, -12, 0, 0, 0, -96, 0, 52, 0, -232, 0, -84, 0, 0, 0, 102, 0, -206, 0, 72, 0, 40, 0, 0, 0, 0, 0, -124, 0, 10, 0, -12, 0, 0, 0, -4, 0, 99, 0, 104, 0, 4, 0, 0, 0, -4, 0, -19, 0, -102, 0, -14, 0, 0, 0, -148, 0, -126, 0, -120, 0, 96, 0, 0, 0, -126, 0, 48, 0, 24, 0, -132, 0, 0, 0, 148, 0, 46, 0, -44, 0, -80, 0, 0, 0, -46, 0, -352, 0, -16, 0, -26, 0, 0, 0, 112, 0, -56, 0, 36, 0, 62, 0, 0, 0, -104, 0, 120, 0, -42, 0, 292, 0, 0, 0, -60, 0, 16, 0, -168, 0, -30, 0, 0, 0, -58, 0, -26, 0, -120, 0, 28, 0, 0, 0, -8, 0, -44, 0, -186, 0, 128, 0, 0, 0, -14, 0, -124, 0, 2, 0, 166, 0, 0, 0, 54, 0, 8, 0, 196, 0, -46, 0, 0, 0, -18, 0, 24, 0, -158, 0, -80, 0, 0, 0, 40, 0, -208, 0, 42, 0, 86, 0, 0, 0, -54, 0, 116, 0, -16, 0, -160, 0, 0, 0, 154, 0, 132, 0, 58, 0, 40, 0, 0, 0, -20, 0, -16, 0, -30, 0, 192, 0, 0, 0, 8, 0, -62, 0, 304, 0, -76, 0, 0, 0, 16, 0, -170, 0, 64, 0, 352, 0, 0, 0, -134, 0, 251, 0, -144, 0, -22, 0, 0, 0, 16, 0, 208, 0, 64, 0, 32, 0, 0, 0, -44, 0, 16, 0, 122, 0, 68, 0, 0, 0, -94, 0, 114, 0, 150, 0, 24, 0, 0, 0, 72, 0, -42, 0, -92, 0, -62, 0, 0, 0, 128, 0, -128, 0, 16, 0, 128, 0, 0, 0, -124, 0, -152, 0, -372, 0, 108, 0, 0, 0, 18, 0, 128, 0, 14, 0, 50, 0, 0, 0, 100, 0, 110, 0, -408, 0, -120, 0, 0, 0, 128, 0, 488, 0, 18, 0, -286, 0, 0, 0, 12, 0, 10, 0, -292, 0, 110, 0, 0, 0, -40, 0, -170, 0, 145, 0, -4, 0, 0, 0, 4, 0, 48, 0, 174, 0, 146, 0, 0, 0, -106, 0, -166, 0, -80, 0, -116, 0, 0, 0, -74, 0, 0, 0, 200, 0, 134, 0, 0, 0, -46, 0, 48, 0, -30, 0, 24, 0, 0, 0, -100, 0, 80, 0, -59, 0, 112, 0, 0, 0, 24, 0, -144, 0, -164, 0, 200, 0, 0, 0, -144, 0, -14, 0, 344, 0, -20, 0, 0, 0, -16, 0, -356, 0, 24, 0, -192, 0, 0, 0, -116, 0, -58, 0, 204, 0, -88, 0, 0, 0, 30, 0, 70, 0, -30, 0, -288, 0, 0, 0, 214, 0, -52, 0, 182, 0, -106, 0, 0, 0, 40, 0, 60, 0, 139, 0, -204, 0, 0, 0, 8, 0, 0, 0, -298, 0, -64, 0, 0, 0, 42, 0, 16, 0, -134, 0, 26, 0, 0, 0, -256, 0, -64, 0, -152, 0, -36, 0, 0, 0, 58, 0, 182, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 1204013
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '55.2.b.a', 'target_level': 55, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 1204014
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '275.2.a.h', 'target_level': 275, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1204015
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '275.2.a.h', 'target_level': 275, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 1204016
{'conductor': 60, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 3, 'target_dim': 4, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '495.2.c.a', 'target_level': 495, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '60.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 1204017
{'conductor': 220, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '605.2.b.c', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '220.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 1204018
{'conductor': 220, 'degree': 8, 'multiplicity': 8, 'order': 20, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '605.2.j.i', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '220.v', 'twisting_char_orbit': 22, 'weight': 2}
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id: 1204019
{'conductor': 220, 'degree': 8, 'multiplicity': 8, 'order': 20, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '605.2.j.j', 'target_level': 605, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '220.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 1204020
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '880.2.b.h', 'target_level': 880, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1204021
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2475.2.a.bi', 'target_level': 2475, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 1204022
{'conductor': 60, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '2475.2.a.bi', 'target_level': 2475, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '60.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 1204023
{'conductor': 44, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3025.2.a.ba', 'target_level': 3025, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '44.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 1204024
{'conductor': 220, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 27, 'target_is_minimal': False, 'target_label': '3025.2.a.ba', 'target_level': 3025, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '220.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 1204025
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '4400.2.a.cc', 'target_level': 4400, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 1204026
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 1, 'source_dim': 4, 'source_hecke_orbit': 55, 'source_is_minimal': False, 'source_label': '4400.2.a.cc', 'source_level': 4400, 'target_char_orbit': 1, 'target_dim': 4, 'target_hecke_orbit': 55, 'target_is_minimal': False, 'target_label': '4400.2.a.cc', 'target_level': 4400, 'twist_class_label': '55.2.b.a', 'twist_class_level': 55, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
-
id: 3589625
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 243194379911565616, 'p': 2}
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id: 3589626
{'charpoly_factorization': [[[4, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 243194379911565616, 'p': 3}
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id: 3589627
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 243194379911565616, 'p': 5}
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id: 3589628
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 7}
-
id: 3589629
{'charpoly_factorization': [[[-1, 1], 4]], 'hecke_orbit_code': 243194379911565616, 'p': 11}
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id: 3589630
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 243194379911565616, 'p': 13}
-
id: 3589631
{'charpoly_factorization': [[[64, 0, -28, 0, 1], 1]], 'hecke_orbit_code': 243194379911565616, 'p': 17}
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id: 3589632
{'charpoly_factorization': [[[4, 1], 4]], 'hecke_orbit_code': 243194379911565616, 'p': 19}
-
id: 3589633
{'charpoly_factorization': [[[4, 0, -7, 0, 1], 1]], 'hecke_orbit_code': 243194379911565616, 'p': 23}
-
id: 3589634
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 29}
-
id: 3589635
{'charpoly_factorization': [[[-8, 1, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 31}
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id: 3589636
{'charpoly_factorization': [[[144, 0, -123, 0, 1], 1]], 'hecke_orbit_code': 243194379911565616, 'p': 37}
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id: 3589637
{'charpoly_factorization': [[[-24, -6, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 41}
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id: 3589638
{'charpoly_factorization': [[[-12, 0, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 43}
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id: 3589639
{'charpoly_factorization': [[[-44, 0, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 47}
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id: 3589640
{'charpoly_factorization': [[[1024, 0, -112, 0, 1], 1]], 'hecke_orbit_code': 243194379911565616, 'p': 53}
-
id: 3589641
{'charpoly_factorization': [[[12, -9, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 59}
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id: 3589642
{'charpoly_factorization': [[[-8, -10, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 61}
-
id: 3589643
{'charpoly_factorization': [[[36, 0, -87, 0, 1], 1]], 'hecke_orbit_code': 243194379911565616, 'p': 67}
-
id: 3589644
{'charpoly_factorization': [[[-72, -3, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 71}
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id: 3589645
{'charpoly_factorization': [[[-48, 0, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 73}
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id: 3589646
{'charpoly_factorization': [[[16, 14, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 79}
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id: 3589647
{'charpoly_factorization': [[[-44, 0, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 83}
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id: 3589648
{'charpoly_factorization': [[[-6, 3, 1], 2]], 'hecke_orbit_code': 243194379911565616, 'p': 89}
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id: 3589649
{'charpoly_factorization': [[[576, 0, -51, 0, 1], 1]], 'hecke_orbit_code': 243194379911565616, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 55, 'label': '4400.2.a.cc', 'level': 4400, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHFDYftD1tsAAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGXXXd6Pv9dau5x2+/QZzYxGmlG3mlXcC27ggAW2KaGEUAMh9UsoISSEhBicEAJ8cQDb2BhjsDHGxrhKcpFk9V6n9z63nn52Wev3x9pl7XOvbIev8xMmOS8fn3Y199y9n/2s5/N8yhL839s37PbRT96NlGLjU/uPT5nUmC1zPoEveeRIl1e+aFbcemVr4a5HU7bMLc7deMUp88T+rdQCyca5Pq1mKrTcvQLm3NyWVwBsBpaBgRDihf7Tvmlv3gv9Bb5ZbgePngW4WOt0o0Ho/iDiLz/2V+zecpqdmxepqYDDJz8WL5kbfmXQW/oHnjDxqbMBG2cFcX9IdyUJTp2af++JUwKRDn/0xGQvOnNuns1zcHwYMdlK/WFy9G9+54/3/sqzJz8u/sd//LHfOHfqyF/Ukice6a3sU4YQhJBK+ueAI/XWlhf6kHxT3P4vNTzP7bmDFzCiNu2bI6/sLz2JEjI+tTT1r7pD+XopDFGc8Oijj9OqL3PpljbLXcWJ83XQI5I4YWbCsO9EwFUXp5y5IJmZTJhohhw645HqmHUtwemFmKt3aQ6ckMxOaoIgoFbzOHJBstyDPRsSdm+f4bIrXoTBx1PQj7zb9x4Z/lZqUv81L7+aS3duvQszWhZywwt9yP5O3v4vwLPb8vI8Bt7Yao4uOXK0q//j73xEf/8bJy/ujTb8Qq9ziGYt4OiJs3Q6C0Sxx1JfkpqAmm+YCA3nOwkHzgzZMltjqq5QImbdZMDuixT9IQg54tQFj2EEpxcEioDBKOaSiwwbZ3pIJM1GxKb1XfYdm2VxuU6zlhJ6Mf2hpt1TREnC9Mw6mq0tKG/EVbsv5ol9C79+y56zR7bt/iEZiSm5Zb13CPjc5MTcC31I/07c/o8H+HNP3YMU4pWLK9Ebnj608LYrLr5w2agX8N6P7efWq5eZv+BzfL7P1jlFI4R1U5pTSyFKGqTQbJ5OOX6+RrNheOTQiP5IUAtgYQUuXufRqIdsXJfwyqs7PHtkkkf2Cp47nvCSq1K2zGmaTcFFG5eZX1bUQhiMDI/tm6NVlxw+H7BpZogUEKiUs4uKyWaCJGXLhpj5hRYDo3n1tU2OL11JrZXy8hdN7Tu3tP6jUSI/LwR3vfH1r3qhD/ELevs/DuDdbpt6LZw5e27+v/zhn3w+OHDiufQnvr12w9Ly5I1/9plzbFx/jNde2+TOh6cY6BVef4PHPU/U2LVtQG/gc2ZJMYoFoZdwxbaUDTMjFruSJw5PEieC3VuGnO8qrtk14MBRn87QIxrBTVf02H+ywUQ9Yu8pj1v2SKJ4RGfo8cQxyXU7Utpdn0u2RkSx5KkjgoVujU3TcNlFXQJPEsVwdsmnO0q4dLPPl58wvPbGHqPBFJ95oM+rblzh2l3beOjAFhYG/Ue+5zULj25cd62au+hNUaM1+2/TJFqamZ58oU/B/19vf++DzMNHjhH4nvjoJ+/h1TePlBh87l2Hjnh7Hnrs7MtPHj+lzp7vcPD4STa2Jtgy2+TxQ3O88rolbrhsks891OLhQ312bDKcueCxeb2hf9oQG8Mo9jk5L9kwO0IIw+6tI5474hEGA3ZtCjg37zM9IbjlipgnD2qeOjxBP+6yfWPEi/xJTi/AEwfq7NmecNEcHD4vqIcxCMWBUx6GGGkitq0ztOqgRISvfNoD2LZeceyM4MbLukw3mtz+tGBiMuYlV03w6LNwz6OH2bate6OJvBv37jvKmQf+Kg1a265YScL97/7Qh3/6FVeQrtv2SoxOzPqNF73Qp+h/6+3vJcBXls+gpJLDQaf2Fx/8j6PXv+WXfjZN0x/85f95NP6lf7j/8pqYqvWWQ1oBDPuSxw7AD76ux9WXtDizWOOOR0K+6+UrXLtrli88HnDJtj4bp1ocO5Nw02UR+04GTDVjQPLMsQabZzSLyx73Ppty70G4Zrvhim2Spa7gnuckr7kqZqqpWO62OHnWY6VjUH7ED71pmePnJljpCq7fM+SaS+bxmebcwjpOzsMVOzSDSHL0XMh0w2PvKcmebdDtSvZsX2Dn5hpfeDjg2OKAt75Sc35hmr3HoD1Kue6SCKHr7DvS59nD+9TBC0de1Zru3/Lff6pxU6pv8Eej0Z+85ft+4b898+zBcHpmcpgkid5x0d8/Z+bvlURJUo2QQppkeaqzdOjWwVC++8CBI8n9Dx+cfeK5sxNPH0+YXrfAv/veESbdwpMH6jxxIObAuQFveEmbl13e5Mn9U9z1VMTUbI/vfKnk6X0t7nlmwOW7ErbO1MEMEJ7Alx6Hznqsn0hpjwyt2ojjF1KePZnSUtO8/sU9lldaPPic4aqdgksvSkkTwYl5nzTVXLpVcOXFMQ8+K1jq9XndjZJ68wz7j7U4dnaaRijo9n3mJhMOnw0IvBFKKoz22LZxiSu3K+5+fJpHjsS85ZVtNjSnuPuxGo8f7XPLtct824sDDh1fxxP7NU8ejunLHr/0AxfYMrWe/cfnWB5s6LSmdy7uvPgSb6jVj19z5a77N822VsBoIeQLfSq/Ybe/Nwx+9twiZ84u7vjK48e2Xrw5/ei22qcmjx3vNI8dhXjo0arDpinDU8em+crec3znrctsa3u0ex6dQchHv9BkttXhmt0ew6jJV54xfPzePm99eZtarcVjB302z/aYnQg4ed6jM0jp9wc0N/jE2mOmqdg8LXnFVQMeP5jgSUEYJISNhEeOKJotn61zEaMEtszCdXvmafc9Rsk0sfZ4+pjkyQPbCVWNMEjxpkYMRjA5MWAn0OkFnLyQMjvVZ91ki88/GPD0iYjbXtVj69QE9z5Z46mjQ67Ytcz3vTrlwLFpDp8SnLqQcLad8uZXdbjqojp7jzSZXxYcP3Nu4vjZYxPLo4dobtz6F//j5/rtxE/elnqXnxoNFo+F9dkX+pR+Q27f9AA3xgDs+dztX96cGv8P7rpv36W/8sA96o/+n5PMtTawODVLb+jRH3oMRprOED7w+Rk2zy5y626P/nCOUewziBo8+FxEFC9zzW4IgwYP7VN87O42V+1Y4eXXNDl4coL5lSH1IGHdtGb3FsXZRcVSW9LpprTqI8LAZ+u6iKPnfDw54LaXejy63+fy7StMTXX49GMNOoOQuckmjx0IuOLiLrOTPscuCLas86nVYqZrKb4nkVLwyN4ZJpt96sGIS7YpAlnnK08ZGo0V3voqaPlTfPHhgH2nBlxz2RLX7YKTZzay94jPsTMxz54y3Hj1Mj/8uphT5zdxbrHGwjIstRPafXju9IDJ7oPNzonPN+cHb7wrDeTBTtf8pDHmDLD/mz2L+k0L8M7KEsrzLt2/75kXraz0/sWRI0de+eX7nuXpI10WhzX+4G9a/JvvbrN5XY3BSDEYBQxHPoORoXemzqcfbPKSKxe5bo8CpjHG54lD07x/f4+3vqbDrZfHzE01eWTvNLc/OGTT3JDLtgvWT3ocPuPTH8b0+tDuCTzPsGUuBSWRMmLQl5xdroGus34y4pItfe59KmREwne+LCaNGhw6JVk37bFlVqB1wvyyR2c4YhAHdHsB2+ZGzE4MUUrieYI49jh8CtZN97nlmoTN0x4Hjk/ylX1wZqnLjdd0+d5XpZw8s5HH94fsP57w+JGUWHR5801DhoM5Tp1vcG5RMr8cs9hOOLUkUbUh//w7l2n4AccOPaoWumcuC1pXfak3Cu7y/dpvLy+vPJkkycF16745fXX1Qn+Bv81tcf4EQejvOH1i/38/enjff7jn3vt37Nt/mNEoQknJaKR45rjP1g0dXnplTBwHxKmHNgpjBB6aE+cCji1odmzqsHEaGmGNmu+h8HjisOLcypCJiYgrd2r2bA3p9mqcmhcEXkxsFGeWfc7MazqRwPM8NkwlnF/WHDsbMN2SCDzWz8QsdQ1X7xgiZYOziw12bwk5cDzk5ILhih0jzi9J4sRnECn2bIsRwtDtSzZMJaybGbF+JsKX0O4rwhB2bxUsL7f4wqN1Dp4ZMjPT5tU3DLhlT8jhE+t5Yn/As0cSjsxHtKba/Mgbe1y5fZLjZ6c4cc7nzHzK+cWYE4uCA/OGt7zsPD/6poReb4bzS5OcXzAcPHyWvfuO7ej24u+JonT7+g3r7/+pn/qZld/+7d96oU/9//Ltm2r9GfX2obz6un7n1L84ffSxq89eGNy2/8AJljoByx1YbMcsrCScXzYcXRbMzrX5xe9e4ObdTY6emeXEuQanLijOXEg5cS7myLzGa/R468t7vPmmgBPnZtl7NOTQKc3eEzGpHLJtfcRLrtZsXy85ca7JyfOSpY5mmGikhOkWrJtMWOp4dHqK6YkIT3hMT6TUwpgH94ZcvFGzbjrh7EIdX2lOL2rWTxsu3hTxwN6QIFDMtkCpmLkmLPcEiz3B+gnNzESMlDCKFEsdj+PnPU7MJ2zfOOTWqxO2rvMgbbDvaIPDpwzPHU85vjjijS9d5rtePqKupjl2dppjZzzOXEg5sxBzYt5wYN7w4ivn+fm3d9gwOc3p+SnOL9S4sOyzsAIXlkbMLw7ZvG0Xfn364y9/+YufvuTirb/d6w/mb7lm5wsNha/79k3D4GblXSh5YkL3n/ifnfkH/8nKwvEruiuLIHwMilRLjBEYrREYpIFj52o8ckhw6dY2V2zXgA8opPTwlCRUhgsLPvtOKYZ6wGXbO+zaolk37bFxOiAQIYvtkJPnBEfPCp46BsfORswvj2h3U4axTy0IWNcybFkfI0TKYOSxY2OMrwyxFsRpwGJHMhj5BJ5AGM26Kc3cZMpSJ6QzEAwTn+W+YOOkZrGtOXFeUfMDNs7A1nURG2aHrJ8dsXF2xNYNhos2Ki7f5lNXTY6emOCBZwIeO5Dw1PGYVHX5tpe1ue0lhrqa5cDxKY6e8Th9IeVcBu5DC4Ybr5znl79/mW1zk5y5MMWF5RqLbZ+ltmS5m9LtpfSGggPHFjhwsn35kwcvvPzIqfM7jp258PlbvuWt0b23f/SFhsTXdfs7zeBLy22iyKAU7/jK40de8ou//TH5tpccfMm/vu20N7+8gaX2BIvtBovtgMW2x2IbltopS+2YxZWUcytweFGwbm6F//iDi7x4d4OT52c4c6HJmQWP84uGcwsJp+ZTLnQTpmaGvPTqHjdfBoGsE6qQ80s1zi54nFsS9EeQJJpaoGnWUqYnEzRw/FxCpwfbN/g06yOMESACegPNRRtHLK54YKwUWenBKAGDYakdsWW9T3egEMog9IiJms9Fm4as9AXHz3ik2mN2QtKqCUIfkkTQH0nOLUnOLhrOLyeE4RD8hFuu6PGSKwXrJuosLk9w8nzImQU4v5Bwfinh9BIcXjTccMUCv/qDy2ycmuDEuRnOLdaZXw5YaEuWVlKWOzHLnZSlrmahKznZgZWlDr/1r6Pk+15Xuy+Y+wkdNC6/T6J/McUnrE280FB53tvfWQZ//598jJfcch0/+7M/+2sf+tiX/vV7/+wLl+w90d5x6HRfvvSqHhdvTkm1hzEKYyx7YyQgAYEQBk8YAglnFus8dEhy9a4lLts2pFED35MEviIIPJp1ScOX9Hs++4/VuPOxgOMXRnSSmP0nR2yYXeLNL13m6ku63HBZm2MLCQt9QSMccuSMod1pctXFkpVhyt5jilbD49njcOlmwzBKGaYBnhcz3YJ9J0OUl+LLBM+HwUjy4sv6DPqSqy9J6QxSjp9psXOjotmIWBkZ1k/1We51+MiX4ImjKU8dHbJ98yLX7OkwPRPxplu6fNcrDLs2tkjjKY6enuTwKZ+T5zSnLsScupBy+ILgxErMi3bP8x9/sMuGqSlOnpvh/GKD+ZWAxbZkuZ3S7sas9FKWe4alnuB8X7HcSbjxsgV++tsvyLondlw4d3znYJDcFE5cXK83pr/w2AN/zR+8589eaMisefs7yeAf/ou/4uort6h77jv0748cP/dLjz59TJ1bilgcKs70DVdvP89v/eQ81+5qcH5xmsV2g6V2jaW2z1LHY7kLy+2U5U7CUjdhoQ0nlwVefcitVy7x3a+I2Lm+yUpvggtLdeaXAhbagqW2lQjLXU1noOmMDP1hwuxEzEUbNCAIfcOpCz5Chmxfr9i52bB5fZ/zyyOePNji+ksNjfoyzxyaodWMiCKf2WnNYAiXXzTkQ1+aYs+2hNHIMDcpidMBrVrIs8eG1P0m1+5OeOpIxPnFgC2zITs3wUUbI5SKObUAgW8QwrB9Q8J0S9IdhPT6Pp2+z1JHsbQCi23NUjtloZ1yrg2Lw5SLtvT47lcucOtlHjV/grMLEyws11hY8VjqCJbbmpVuzHI3ZaVnWOzBua7i/ErCi/ec450/ucilW5ostidY7tToDSdQtUvToL7x1wbm4l8NOJO+/NXf8UJDZ9Xt7xTA9x84QL1Wq58+feqix5989u1Hj53+z/sOnmIYS3pDWBlYRjnTTbjh4nP85k8ucc3FdS4sT7O40mC5U2Op47Pc8VjuQLurWekmLHcTljqG823BmZ4B0eO2l7V504s1F2+qEUUNlts1VnoB7a5iuSfo9gXDkSFKDGkKShpCH+qhYWrCsH4mxvOHHD4b8fShEJ00ecNNEZ6/wqN7J9mxCT77UMLLrgq50B5Q8xRJGjMzDUns4/kJi4sNXnpdh8/e32LnJnjk4AifBq9/sSYRA54+nHL0VA1PBmyY9phuCuqhIAgESkCiIYoNwwi6fcNKT9Pta1b6msWeYZCmbN/a5003t7ntJRHoFosrk1xYqlu93fFYbsNKN6XdS1jJwL3Uh7MdxXwn5Ybd53nnT17giu115penWOk2aPdCOj2fdlcQ1LdSa274d5u2XfYXW7duOTEcDgeXXrrnhYZScfs7A/DjRw+xbt264OChQz984ODBdz3y6BNicaknhyNNb6jpDg3dAawMJBcGkrPdmBdfcoHf+LFFrrukxsLKFIsrTZY7ISvdgOWux0pX0O4a2r2UlW5Cu6dZ7hkudAVn25rpqT7fckOXWy5L2L5BMVH36XRrhL4EFFEi0VqgDfSHgNBMt4YcPG3QJuKOR5qM+nUu2RJw69V9Yr3C3Y9Nce2lPgfP9WgvT3Dz1X2+8GjIhhnD3uOGf/qWDnuPhWyYkdz5mOLWyxVL/Q5HTs5w7e6Iu58ekIwa3HJFwK5tQwZJj9sfVZAKDp/ymGh4eAL6A4k2glQb4gSQGi/QtHuGZitm26YRL7m8z7dcnzDbrHF+aZLFlTrLHXtsljuCdg/a3YR2L6HdS2n3DUt9ybmuYKGbcNOeeX7tx+a5ZmeN+ZVJVroNOr2QTt+n2/fo9hXdgSBOa3rXpVeZHRdf8tO7Lr70/QsLF6I9e3a/0JAC/o4APEkSGY0Gb370gc9e0ukl73z4kUf9wQiGkWEwTOkPU3pDTW9o6A4E7YHgwkBypp1wy+UXeMePzXP9roCVziTzyy3avRor3YCVnke7q2j3odszdPoJnV5Kb6Bp9w3zPcF8D+J0xDWXDtg4k9LrG95484gdGzVJKvGkIYrhridrnLhQY9N0wjOHa6AbXLZVcd0eTVjr8+jBPvMLTa7c0WRiapn7n/K58dIai/0Vlpcn2LjR8NBexT98dY+H93psXe+z0GuzvDTDdZf3uf+ZlJn6FFde0uNCu81Dz01R95rcsMew+6IhyB5PHhWsn4k5Px9z95M+w1ghJaTasGNTxLfcHNHtKTZPa667FKKowVK7wVI7ZKXn0+kr2j1Jpwedfkqnl9Ltp3T6mpW+YWkgOd0RtAcjbt09z6/+6DI3XGovjna3Tqcf0u37dAcenb6iN5T0B4JuP6U3SLjuuhvi1Hg/97bvfPOhZrP+Kd/39QuNrRc8kzka9Ynj/g+ePProb104d2Dm3PllmnWbphbCgP1fdrMWoBAGKQ1Sejx8YAO/+F6Pt9y6xPe8eomdWyLOLU4QBnXqYUAj9GnWPbp1SWvgM9n07AUzSNkw0gxGhu4wZGm+xqmThijRnD6XEIYGEATK4ElBf6AQ+CR9jxftEOzabLhoS59R2uVzDyv2HZrmddeHXHf5Mh/4nCEQDXZs6fPU/YotU4q5iT41VSeKfS50oVnz2LpB8MS+iOt213nFtQv88acHBH6L195k8MM+X3wo4rMPNnnuaJ2LNzfYsSll3XTEzrmYq3akKKXxlAEMjTBk3VRIFPt0+wHPHPRticLAArE3gN7Q0Ovbv707SOkNDJ2BYWUA833F+WVDY7LNz7xhnu+4dcQ1Fzc5uzBBu1ejW4Bb0Rso+kPJYCgYjCwBxAncfe/Dfmti9rfWb9i49MqXvfhfdXr9P55oNl5QfL2gAI+jHgh+9Myx+99xZO+XZkb9LvUwwGROiEEACoRdaoQAKWwnjZIGJVMCKXnq4DoeP9Dk4JkLvOUlPV5yxZCp1gRL7QbNTo2JQUCv79mTM5QMhh79kcdwZBhGmig2xLEhSe09SgKMBqkEvieoBYKplmC6BRvnNFs39JmbbvP5R+Gex32knuR11/u86LIu9z4XEw0nuPVFgvZgwIXFJrfs1sxN9al7IcNEMd+JUVrwot0ejdaIx/bXePl1k9x8TZfH9iswk1x/RcCPfNsSX3gi4s6Hm+w9UeOidYqNM3WmWw0mW1APwfcMSoI2sPeoIE0FcSKIEhjF2L9xlDIYaYYjTX+o6Y80vQF0RjDfk1zowkgPec21S7z5JW2+77WaJJng3EKTTq9GdxDQG/j0BoruQNEfCvoZuAdDzWCUMoo0g5HmwuIZPvQXn5vpDZL/+h1veoXX6fbfO9F64UD+ggE8Gi0h0D8yf+qud1w4/oX1kh7NRogc2VVNAAiJQCCEQgiBlGTgBqUMnjL4SlP3BQv9Oh/+0la++HiHl121wve/ZoWrdvaYnWqwuNKgOwjpD/wM2MreI8EolsSJIEnsUm+y5UJJg+dBLYBGXTPTitmyvk9Cj4OnYz5yd40jJ5tMhXVuvMLjlqs7PHSgzR0PTHDTpTUu2tTnQ18SKBEy0YpZ6Y3QBpSAdRN9Ot0AndR588su8OHPNth1vsabbuoTxYvc/fQscVrjxVes5003drh0W5svPtbnqZMNnjwasHVGMjMhaISCwLcXoRQghEEb0NoQJ9nFGhtGsb2QhxEMIugOBcsjwVIXhDfk2j0rfP+3rPCyK1JmJ+osdxq0u3W6/ZDe0Kc3KFeC/kgyGEI/u3CGw5RBpBmODKMIEqM4fa7N+z985/p+xDu+680vNWcvLP3RpvUz/2cA3Cz8F1aGF5Es/8UPDQejd3bO7Z1TpkuzFiJEkvG2hxAW5UJIhBAIIVHSQ8oUpUS2PGt8ZQg9Q90TLA8Vi+1pPnpXkwef6XHrNSt8/2tXuHZXm9m0TpKE9Ic1egOfwcgjihVxIklSSaoF2gibBRWGMNA0aglhEBH4I04vjvj0I5JDpwKOnppG6ZBdmwIu36m4/rIOKpzn6cMttkw1uPJi2LhumaXOBFdtkSTa8PmHQ0Z9yVQz4fUvHvKpu2NOnGux5xKfsytDnj3is23DNNfsnOfep7rc/6xgFAVctnOGy7aFXLa1y+GzSxw6DQ/va3DwSJOGJwg9STM01HyQ0hKDMfZiTVKIEohSQW8k6AwFnRginaDNkBsu7fD939LhZVelbJoJGQ4nWWzX6PZCesOA/sCjN1T0h4rBSDAYSgYj2zc6HKXW4x9ZcA8izTCyjk6UKubPdnj3n395/SMHLryz3qwnv/yuv/nAvkPn+Mhv/ujfX4D/7Dv+J8z+KcnRN3+fnxz+naRzZsqXIY16DZGdHSkMQpCxNpatpUApgadU9qjxVIrvCQJPE/iG0Dc0gpSpmqA78lnuTPOxeyb40pNDNkz3efsr21y2bchw0OPKnYZtGxWj2CdNyzS/wCClxvdSjp83HD0nWBloPnlvg9ML05jIZ7qm2DzrsX2jx8Vb4MpdHbRc4N2farK0NMlNl3lcuavNF58UiMRn/bSk2UjoxwHSSDAS5QW0h4LzS4IrTINXXt/lvsfqbJ4LuOnKGf7xty3w/s92eXh/k97QZ3Glxc7NdfZs6vPi3V2+8+Vdziwt8cl7Qxb7IcfP+pw+HeArgZR21dPGkGqItSFNNNOzMVdf0Wc0irls24i3vnLE+knFTCskjmucna/RHwT0R3aVGxTAlhbcI8FwhF0JRinDSDOKUiuBYpOBHAaxoB8JBtrj9KkOTx67b+7KXet/55brN8Uf+c3tf7Zw/L8yt/3f/P0D+E/8pz+lde3bxA/8G/G2LRPPvOe7X/Fs46qdAQACmYG6BLgUBimtVJBSoqTEUwJPZY+ewPdSAk8Q+Jqab6jHhkZkmKylTNcF/UjSjZocPdXkN/5sBnSCSBKuv7rPzo0RSQLaaIyxSRwpBFIJPD9g/4mAvYdqNGserUAy1xCsm5Wsn/HYvE6xfVPKnu0rpGKR3/34BMdPTHHTbp/LdqQMki4PPB0yVfeZnTRMtSIadSuFtJa0h4qlnmGxndLu1XnplSs8srfPvhOKqYkaL75iih978yK/9wl47FCT3sCw0vU4vzTBxrkG66eHbJ8d8rNv6zPRaPPUUdh/UuL7BqUMQmjy6NwYSBLYsTHl1qsS0tgnTkKMaTCMfM4tBAxGdkUbRqqQb4NIMBwJhpFl7VFks7KjkWYUaYaxzt4zBXMPYsEgFnQjwXIs6CaatD8k7j0+9e03bnjP7y5cSOTE9360dyYwzc3/4u8PwP/lf/kwOzfPqcfu+fPbDhyb/8CfPjRfe3LfJL/xUx0u29ZDSntShNBIESKlQUkfpQxKKpRSmd6W+J7VnIGvGPmSUaQJo5RRbKjHmlGsiSLDRAKjWDNKIEoEw1gySkPitMa+Q02e3AepMVhoW23sSwiUrflohXDlJpiow2RTMt1SzE55rJ+BizaO2LRuhdgs8bsfn+TwkUmuu1hx8VbJrq3LfPnZhPOLk1y/UzI9oakFA0IZYpQgSSXCGJI0YrlX4/yiz3WX1XnR7i73PlZjw7SgUWtx3W7Nz9y2yO98QvPs6RYrPc1KVzG/7DE31WR6os70xCQTjZh1zZjt10WEfoLvJSiVIoUNJgz2oopjxYV5jzhRxIkiihWjOHuMJKNYMookw0gyioQNUCPBKDKMIntcR1FKFGWaPrbvDyMYxoJhDP0C3JJelKCHfV60c5l3/JMFvuWqM41+R34g7X1cx2LPxxeP/0E6u/0nv/kB/qv//cNMtUJ1/OSZtx4/fu6PH332dI3WFJ97yMP3JL/6Yytcvq2LkilSaQtu5aOUto/S4CuD7yl8z+BHksAX9iT4glGgiGIL9Dg2RElqXZHEuaeQpIY01aQaq7c1BbhzKeRJ8H0IPUEtFDRCSbOhmGxIpicF62cStm/s02qu8PH7Iu5+eoaVhQmuvkixfZPPpduGpGKFzz/coOl7rJtWtBpDnj4Mzx3xuGqboT9SXHNpzNW7DOfOpswvBwyGDd5wY5evPDXg4GlFsy4Jgwmuuljzqz+0yF3PDvjUXXMsdgzb16cstz2mJhSTTZ9Ww6dZN9RCTRhoQi/FU1Zqyay10hhswkoLEi1JUkGSCOJEEiWCOJaMYuu8RLEgig1RBKM4JYo1kUMco9i9W3APMnB3Ykk7hv4oRsY9rtuxzK/8+BJvfLGmO5hkODxS017rg0a1/pEW6/7y5L4PpNsu+6FvboBLoeX8Uvt7jhw9/fv795+oTTYDOokhFpK/uV8SjRRvfVWHt72mx/RESldqPJlmOtvqYd/z8GOP0FMMfcs0I18SBYIoFvbkxIo4gSiW1kFIStsvSTVpat2F1GROSeaW5O6Mklb2BJ4gDCS1UNKsCyYahqmWZsPMiHXTXRKzwke/Inn/Z2dZX6tx9UWCizb57Nis2b5pmY8/YFhaqnHZRsX0BLQaMeePSS4shwQ7YRQL1k1Kpqbg4FHDckdzbqHGpTtqvPr6Lp++p8ZsC8IgQMkprtol+PE3XcCXF/ibe6d57nSNDZ2Y9VMJk01Fq65o1CX10CMMIPTB86zDJAVI4YAce2GnGtJUkKRkQIc4NUQJxHFqSSHWRPljrDPbMXdlMgsysZKkFws6iaQba6JhxGTY4bvfsMjbXtnjtddBp9dkMKoxigKG7RM1Vau/x6sFnhD+n2N55psT4P/zfZ8g1fqH7nvoyG/uP3hyYqquCBKNEoKO8BmJFp9/2OOBZ2ucXV7kn35nn+mJhFFYo9Ov4akA3/PxPZ8gSol8jyCy0iSKbSrdMo6wTJSxUpJAnEKaWidBaxtwaW3yHs4M3BbgNnAV+J4FSC2ERk3TqidMtRLWTQ2Ym17hvn0RH7yjzv6jU+yY9Nm1EbZuDNi6AfZc1KGfdHho7wR15bNuWjHVgqnWiOnJhCDwEMJeXINRwFInZqVvaPcSLiwHXLSxxc2XXeCOh/vsPz1BI4zxVYAQk+zaoviB1y5ww54LfPCOFg89M8Viz2P9RMJUI6FRk9RritAXhL7E922sohSZfWhRbrA9rFpTAD1Jdba6ZdZioklSC+4khigx5T22rswwsaTSjwWdRNBNYDhM0MmA2XqHn/6uJf6f7+3RCAPa3TqjKGQUBYxinyj2iPonJry697tT664Kjjz38fdffMVt33wAX1puo6T80d9/31+94+SJU7OtmiBOLasoAV4G8oGUrIw8fvMvfPYeXubNL+/xymu7bJiL6HbqDEYhgZ8QBj6jyCMMrL2XAzyOJVFil904yTztlMz6I2NuiTaU4LZJyoy5wVM2YRL4hlqgqdcSWrWE6YkRm+Y6nG/3edcnfT7/yAxLy00uWSe4aL1gy/qAresFOzcP8YIVPny3x5GTTXZvkEy3JJPNFClHnJ43hJ5ECjBGEMUe29d3eJiUTl+x3DGcX6qze2uN73xlm7/8YsCx8yG+FyOEjzZN4kRy/c5ltn9vh88/1udDn5/h0WNNtkwL5popzVpKLRCEviDwbaziKWzgLEVRk2GwF5k2WKcltYDPQZ6kVtJZsEOU2lqXKE8eJYJBAt1E0k1gEGnS/oitc11ecd0y3/7yPm+8UeOJBssrNUZxSBT5RDm4E8UoUsT9s7N+Y9c791xzmxoO2++t1f73TNz63wLwpeU2QeD/48/efvc7nnzq2fWBZ5BSoJIM4NKgpMCXgp6UdGWNduTx4S/XuOupLtdd1uF7X9vnTTe1mZ0KGQxDBqOA0PeJEnug8kApSRRxKkkSSZwKkkSSpoJUi1Jra0GhSkzu1thkkcqSRYGvCYOUepjQqo+Ym+oxiAd88WnDR748yUPPTDEd+Fy1xbBpRrJhNmDzOsnWDREXb1nmqWMDPvmVdUwqj3WTgommYKIR0+6nfPaBGq3AukPawGDk8eZbR3zmQVsT0+5pLix7bF3f4i0v6fHQvi57DwY0wwQlhQW5bjCMrNb/gVe32b3pAh++q8P9z01xYrnOxgnBZM3QCDQ1TxP44CmBkmQJMvt35+VHOpNqWpcrXJIB3RIExKkgTjNgp4JhIugngl6KjXmiiGa9z1tet8T3vLbD9btTNkz7DIZNOr2AKA4YReU5i2Ib7FqCEpw8tm+9Ch54x67LXqb7vc77Gs1vfOPENxTgKysrrHR6SMEP3vmFe/7bpz/7hdn2ygphoFAFe9vUshTgCQgkhBK60qfvK051Qs482ODBp3v85dVd3vrqAa+/dcjMVEA0Chkllg3ixCPOgJ6kiiTNEjZpCXBtMubWZU2ZyGxIJW0dh+dpAj8lDGLqYUSrPiBlwBcek/zZl6Z45ugkIg7ZMW3YNGWYm1KsmwnYOCfZvC7moo0dTs53+YNPNUlGdbZuFUy1PCaaMNGIEX5EZ9BkqmUQQmAMxIlkJlQkOqEbB3T7Kcsdxen5Oldc3OIn/sEK7/zzkOPzTTwVZxeGR5LUGEaSjbMh11/S4eqLezx7/DQf+XKdOx6d4ky7TjNUtAJo+obAM/gKPGmPuRDV6joNGG0vulQLUgNJKqx/ngqi1CaJBqlgkMIgMSRJgo5HzNYGvOE1K7z9NV1edlXMZN0nipsst0NGcUCceBlrq+y5IkpUseLGiWTUb9N78svrUy3/28W7b0wWF8/8SRA0abW+cWz+DQX4YDBgerL57Q88+Mjvff72L0z0uh3qNY8kMcUymfvbUtgD76W2mClQmnoq6KuAfuJxYVTjbx5scvczfV58Z49/9l1dLr+ow/opxUTDI4oDosQnSUqQpznAtUQbiTFWEpgioMxS/crYINZLCIMEX0V0BjHznZjf/niNoxemeWzvFEYHzNYF6+cMc5OC2QnF7JTPhlnJxtmELev6zE4t8/nHNY8+N8XVWwXTLUmrIZloaJr1COGPCEMPT9nfbwykqWQw8hgMYxIt6A403Z5hqeNzbnGCW/b0uPmKFT58Z436ksKTsQWk8UjSgCi2PZ5zUzVu2NXjhkt6PPyKMxyfl3zwjikurDQ4tRgSKEnTFwS5DJOWZAoiz6UKlskTI0g0xFowSmGYQKQNpAkkMVKN2Dw94Ort9nzceHnKRN0jSZq0uxbYSQZsu8J6mWwswR2nMnsUJKmgv9LlsYe/PJto7/d27b52eTgcfPIbiclvGMD37T/Axo0b1Yc/8pFL9u49MNHvWXCnqUEJkKll7zi1UkVJg5eClwp8ZQgSQy0VNJRgoAR9L2SQ+ixGde54dJL7nhvQDEf8oze22TqbsGPzgFuu7OIJ2yImhJUrNitpa6WNcZgbg5AGJaxnbkhAJjx7VPLIPo9PP9Ti2RMtoqRBy1OsqxtmmobphrE++ITHzKTH7JRg40zC5nUDNq1b5u5nRrz70+vZNOWxbgImmoqJpqDVSKiHI+47oBhGHn7TgsoYQZRIap7i2t0DHnx6yhY+DVJWOj4LKyHnF6b5iTed59TCIg8+sQ5fAiJGQwGgUSTpDTymWzWmJprcvLvPK67u872vmmffSc1nHqrx0L46B440SYTHaKToxwpVlD64gWeWEzCaRBuM1vgiZTKIqBFz83U9dm4asnUu5vtfP6IeSJp1nyhq0O4G2UrqZYSjCq/d3uXqe2FTWpC3lzo89MC9E6dOn7/k2978Xerk8cPptu27/u4AfN/e59i4biZ4+OGHfziK4t9cWlqiXvNJtCHJM5TSsriUlrFVgpUIqcFLwJcCXxvC1FBTgkYqGGkYpj6D1Kef1uh2U/7bh6cxScyGdUOuuGjI7GTCW1894KL1EXEsMr0twWFuiu+gEVLwsbvqPHW4ifA8jp9pcPp8g1pdMRkKppqGiZpmogatumCyoZhoKaZbHrNTMDeVsGF2yJb1HVKzwse+MsGg1+TSrYaJhqLVkLTqmlYtwfcjPv9gjVFf4q+33aK5RGnWFW948YB7Htf0RpLeIKXT91jpepxbbHD5zhZvfVmHx55tcHyphZIaiDO97BOnilFsEzO9oUe7F9CqN2jWR1y+dchNe4acvNDm2NkVPD/lySMef/nlBkLZwjXG5w8aDWgwhjhK2b4h4e2vHjA3kbJnu2HDLKSJzyhqkSQ+yx2fJFbEqZfFQRbQOcBtTCSzWh/XAHCMgAzgaeqxtLTEpi3xbz791GP9DZu3v//Agb3R7t2X/90A+JnTp1haXNh98tSpdz3+2KNSKYkUEpnawiUlDYk0GbghyVLwiRZ4idWJcWrwU6sBQ89QSw1JKoi0IUoFIy0ZpZJI+8Qa5nsTfPkpjSHlrx+yIxswOrvnWbzMIhN5RaJEKkUSe0htE02tEHauMzR9TSPUNEJohIJmXdKqWzk02ZJMT8DsZMK66RGb13VJWea3/6rGvU+vZ9csTDcy9m5IWvWERj2i2RhQrzcIlUTJTINj5UAc+wwHgsEopTtStmtpoG3LXDPg1PlJXnrFiJ9523l+6y89TqyECKExJkanhjjxiWLJcGTLWFsDj2YtoFGv0Qgb1MKYVj3i+ksjAj/mxksTvv81fTyVZEkgbevtXVGeSTqtJUJIQl8BAcORx+KyZ+t20jzmye6JLGOgrHAtB3cO7DyxlGRBa/nanu8kS8Q98vAjMk7ku1Y6/a9Eo+Ez3whs/n8G+Bdu/2uaDa9+/Pih2w4dOiTqNc+2UqU6Y+0S3ErZBIxUBpWCSq02TFLwUtv7mOQRfZpF9Xlkr0X5WgsiLUmMJNUesQ5JM9vLvRVZysyW9CT4Cmp1Q80z1FRK6EPoQS0w1ENBPZA06pJGzbMAbwqmWpqZiYTZqRHrZ3psXr/Iuz+t+dAdG9g2pZhraSaailZD0WxAo57SqsecXdQcPhtSC+wFDXmln2AYeezcqNk4N6QzDBgMTcbikpWuR6teo9WY4vtfc4EjZ8/xnk9uwZMeBk2qUxJtiBOPUaQYRLYoql+TNIYe9dCnHqa0uzbGCPzUJsz8FE/aRgkp06zuxziNJbaE04Jc0NZZlaW2cU2aSrSWJLqMdyxA8wA/f+48JiJ7Pwe3TTLFqSBN83yFPSZRDI889oS4+OLebdt37Dj8lx/7+OCt33XbCwtwI/zg/Pn5X1hYuPALOh3JWigtOKUsAC6lIZWGVGe13KkgzeRJosEr/sgs+aBN9toU75XPy0o56+WKIlByNTeQZfJMFtBqPElW0wK+Eviesb6xJ6iFklogqYeKek3RqktaDcNkM2WqlTAzMWJuus9FGxZ56MCID9+1melayIaWZqIhLLjrkmZN06wltBojHtoPT+5rcMk6k+neMm0+GClu3GO49KIBDz8zRX9k2/N6Ay8DuU+jVqdem+K7X77Ekwcu8ODejWAUWqe2HDYxJLEp6kkGI4/G0FCvKWqBJgx8wiAl9DSel+J7NjuslM6K2OwKizAISj1XBue2hFjnjpTO7VfHis2BrXO5kb+mAHZ+twSWPTr31EnKRcOBPH/+/L+fnGgGrVbz14DoBQP4cNiXo9HwVz7zNx/+V4sLZwNPeYXHLIUgFYK0AnALbJUlFVJl8HT2XNsGWp1dzWmRfcSycwZynWXi8mSFMQYn815ZcfNUdZ7QUTLLWCqcoi2b/QsDRS1U1ENBoy5o1Q0TjZTJZsJUa8Ts5IDN65Z5cP+AX/njDZw4NcXFc5qpBkzUFc26olmDZi2lXosJ/CHtoS0W85WNP/JbqnMtGjBRj+knmn5WZ90fpnT7knZd0eiG1MIWOzbG/OoPt/kPH5A8sHcDBoU2mjTVJGlClGiiWDGMFINQUh8paoEkDAxhoAg9je9bv99TJqvzyVbVTKYIYaoNullq32QkYrJaljQDfKrLR0tGsmDiAuDZ89SRInnyzV4AGWkV5RTWmz958nRQqzV+7od+8B/6/X7/3zUajb91Ov9vDfDhoIPR8a/te/or/6KzfKLWbEgbAKWCJEsupNJesUoKEpUD2aClBXeagVvnz7VAa1OkkXXh0YLRxkqfrATUvTMG8Lz0VuTgFnlNuZVEXtaK5nuSMLADgGqhHclQDw3NmqbVSJloxEy2ImYmBmxet8KD+/r8h/fPsf/EDNtnrMPSqkuaDWnZu25o1FIatZg4jfjTO1tIpfCldZIKBjf5Eu7zA69b5vZHI7pRSD8DeG+g6PYU7dCjFoSE/gR7tiX85x9Z5JffL7j/mQ1oI0m1TavHiS00G0WaUc2Wu4ahoOYLwsBmNgPPFBlbT2krE2Vp2xYAL1OeQEYi2FyCdVuyQD4HcDZ1QBfJNTJ2p1hx89W5BLhxHh1cZI9JKti7/2jt83fe/S+/9Q2vESsrnV+cmvrbJYH+1gA/f+YoxuibTx59rC4ZEfrKXonSWoKWvUFpskdBKgVpkR7OwZ3LD/ueLmolyvYrC3Rh6yhyUOcHfux7lb2bWZ2JpCymyurILcAlvi9t/UYgqIV25kkjTGnWLbgnmhFTEwPWTbV5aF+fX3nfDM8en2PrtGC26UiTmkezZutX6rWEehjh+yNOL07jK4GSOrPlyiAzTSVJotg0bUiSmE5cyzplNINhSncoqfcVtcAn8Gv43iSXbU34z/94nn/7R/Dgc+tJtbQATw1xkmZMrhmFmlokGQaqkGC+D76XOVdK2lyAzNwtASJ7XAPjVq6QJYUQRXJIZ8mhPFucps77upScqQNsrcvzXeDAAXn+PIoS7v7KI/VLLt5xs/z/sOPE3wrgB57+LPWw37j7ri8Fg0GHwBcW3AJkBuhU5drKAl3r/D0LdK0NqUfxR1aBncsQUwDd5HIkf/48302KsohKSmyJQAZuJWXWKJHLE6j5EAaaes1QD61+btRjJhoRU80Bc9NtHj045JffO83Tx9exeUqxrqmZrAtaNUmjpmjUBfWavThsqj/iwb2C3jCgpsguMqvB8yaEVAvixKNZU9xyZZeHnp2gH1uZMhil9AeKbqgIA0XgB5l+nuLybZpf/7EL/Pwfwv171xNrSax11ixd9mCOAkkYaMvefllH76n8TiZTShmXN5usBfI8KWRygGeATwvnhTVXXp3FUtohsTQ12edrAD2/EAwsL6/wFx/7VPDab3lD44Mf/kz/B77nW//3A3zhwnEmprZN7X/yL/+g5vVeHqsYI1S21InqFSut5tbOsmUZu7zKtRJrs7YDaF0Au2wKJtPexckQNlMqZAburMhIFQAHlVUM+h4EPrYTKMgKrMKUeiYvWvURk60B060OTxwa8cvvnebJY+vZOOWxrqGZrEOzJmjWFY26olGwd0otTGg1htz9ZMBKu8b0dJkmzwGjM20ap4r1s4rXvKjH3Y9o20UTaQfkkpovqfkevhfgeXWk1Fy+zfCOH7vAz/+h4f7964m1R5xVANqyV8vkYSyL6sLAk3heVoQlBcrLjw3F98svwlyqiLwqjTIhNH7XzqPWzmOx8lbB7VZ2ps7rMv4yRdyVJCnnF/svP3L06B/99I+99SdfctOxlUt27fjfC/BB9zTR4MLPLy8e+55ktEAt8LNGAlE4H1qOLVFaZDo7v8rLKz6XH2khQyjYuxJIjjN3hvQ8I1dob5lX0JW6O68Y9BS2PsMz+L5tLK4FmlqQUq8lNGoxzdqIVmPIzGSbxw6M+IU/nOOJIxtYP+WzvpEy2TAZuDP2rknqoWX/WpjQCCMSPaIbhQgl8XMGLzS4yNgr84tjn2YwtOUCUY3pHOTDlH5gGTwMpK2J9/INaA1X7TC88yfP829+X3P/vg3E2mOUCqJUZywuqMWa0DcEvu1d9bK4w1O2RFhJmR2frCs/f3QKs4oL0411xsBdkJBDTC64i7jKlM/d9/Ja/YLV0xInp84ssHf/0e+56yuPHx5F8b/938rgywunaE5s2b7v8T+4OhmeIggE2qQ2Q5lKlCwDDaVNGYRok3WU5EU9xgG4KA5Uqt0DJhymKLOSxl0zc9Z2g8p8uc06dFQWTHle1hmUFSHl1YM1P810c0y9NmJ6os9ks8uDexN+8d1zPH5kA+smPdbVUyZrhlYG7nrN2ok5uOthSi1ImGhG7D1muOuxJoGU+EpnQVzpUeTLd5wqEu3xyutjLrm4x+ETddY1KPscRyn9YcbCnsLz/KwS03rXV26HX//xBf7tH2q+8uw6hnHdJsMSQyOr4Q59LMi9fPXSRW+rVGmxwikpHIALB+Ss0islyE0V4EWFYrnyrrUyl+xOlcEdmZNmnyEUB46c5bNfeOTq//LLP7b96LGTx3fu2PaNB/iof5KgNrHjwql7/0c8XPp2dJcw8ElSkQWQpuKTFoFHYS8ZdJrLEbFqScv9YVN42mMuySq3JGPucXALg1S5LZjVvKiMtT1D4Gl8XxP6mjBIqAUJtTCiURsxM9lnudvnnmfg1/9sI08dmmMuA/dU3dCqC5o1UXjl1nnRlr0DC/B6OCJKU4aDGjVlLzIpRKWSL0+k2EDTs1reGzGKDINYOADXBEFK4Hv4vrRTBaRfABwB1+wU/PpPLvPf/jzh/n2znGlPMGxKplJDKzHUsokDoW8y7z93UkzB3rlUyQFefN/sS7s4LxRidlLyVbUEd1VS2mpOB+wVoOfWb7mapw7odZbU6670OT+/9O2f/PwD6UtuftG/3H/4zLE9uzZ/YwHebx9l1K/fNGg/dVvUe5YgqKO1dljb9UdN8Vq7VpIShSSxoBbZ0pYnbKpSxAV4fohdVZifBDvuIWfvshu/HA5ky2J9T2djJtIC3GGQgXumx/zygHf8aYNPPrCOhd406yYl62oZuGtWdzeywLIeShqhyRjcau9aGAERX3oiYDkOmA2p1GMjqitUmtrmh4nQ49XX9Xlwf0Q3DpksOtY1wcjWqgeeBbinbEO2kDZBg4HLtkl+6591+MyDA37tfRs4tTDNYMpjKhC0Ek0jgTC2o5cDZQca+XmgKUURBOePbqDuXphCFL0ixfmBMQnpAtuJn7QDfjePMQ7y1A1QtbUljfD4yiOHmFm/8bZGs/mnne7g2DeUwaOoj+/XLz1/4p5/vnzhKcJAkOg0i3YFUgtUmqV088xXzuBZBiwHdKG1C1DnEsSUNtQ4a7uyJDvQObPk6ebcBVA5wJWx5bhe3ttp+zsDPyXwE2pBTBjEtOoDPK/P3U+m/NFnJ/j0veuJ9ATrJwRzNStLrAWY++Qqu4uMuV32jvG8Efc9N0U/8tjUyL/POIPnq5stJa35ipsvH5BoC/BBLGzXet65PtI2OPSy2TCZvZcPtzMI5qYE3/OqHq3wDO/77IB7npvlXFynX5NMJIamZyzIvSwOUSaLS0wG8vwYirJ2XIKkZPHxHQULqZKPqGBcm7vdQ2Xtec7o6RrBaeoQYGpKuWKEx30PPsvLb9z9z2/71pc+3u31D7a+jrmHXxPgvZVjtM9+Ei+Y2hx1D7zCpEso5SNEipKaVEuUFmgpSbVBmZK5tXYlScneFTmSa22yZEIF2I714NpXxXAgZ15hlkyRMh/tprOa7wzcytZihH5MEMTU/IhGY0gQ9PmzOzx+40/Wc3h+Bj+ssbElmAlTJkJDM4Rm1mFfD222s5YlhGz9SpqtBFaeLHRSelFAoBSBLJs7cP6U/MLOazeixKfuD9k4NWCl32IQi2zcmo0VfD/NbD6V2Z0qG7XhBq628vHbX9bjxivm+fUPDvnQ59exlDTphz5NXzLh2Rqc0INAUTRDeHnSp5hDI4oscJ4AckmlKlZcoFNZgbWpSs1Sm4/dV5kNbvbaeu1CKk5faHPnfftesdhLN88vtg/uPXCSy3d/dT3+NQEuSJlY9y07+itPvTvqPkG9lpb11lqQGp0V42g8LSvpXGOqEsXosr4hDx6Lg4BwJIkYkyb5dzElm2TZN+kCXBqUtEVeJXOnGcgTAs9KkjAYEfoDjp1PeM9nmnziK7McOT/NRMNnpgbTYUorNFnqPQe3zMAti6RQLdPeYWAvnInmiI/f53HweJ1aNoGraBejRHkxxsFYHR4nHpdth2+7scsffW6WXsNjIps9EkZZ3KA0niezsXU4IPcdSrWrwkVzkl/8h32u3nmKP/z0DEfOTbKU1On7Hk0laGRAD6SxF07mMhWrX35cc/sQq8/LTKdZ7ZPnxJSXThS++WpL0bggNlWToZAnGdjzn0kNjIzHnffv52U3XfHuH3zLS984v9T5mlLlqwJ8fnnIs5Mhu+e/vNWMHtgVyHN4YY00je0XS6Vl7EKGyLI4x31eKd6hAL9x2duIyqhkk50wcsbOQS5KYNvHsqBLSZ25Jjl7p/heYjt3vIQwHBF4I7ppxLs+GvC+z2zk9OIUWtWZmVTMBIbJQNPImLtRpO9lVqeSSZPMOy/AHdjs5SiOOHgqpBeFTIeZi5MnnXJXIs/CGqcmJfaYaHrs3BqhwiHdqMUgENRjwygHuJdmiRplfWyZlwCvFbwq1k32+Ylv73PbK8/xvs90eM/HZlkYNBl4NWqeouEJ6soQJsayedYn68myvCHPcq5ictaQK+MOC1RjqVyGOETmsngRpxWyxII6NVkFqRFE2mP+XIfP3Pv0rrAutt72uluOGdNDiObfDuAmPsPu9tS6pY7/0aPPfdG//hJJfxiRSmUPpFRF/XDeA2lyOeKyeF6sY8aAnQG+ZGzxPBlK49iBpgB2RZ7IrEpOWenkeSmeSgn8mFoQEfgR7WHEfU9J/uyOCT72lVmGaYsgCJgNBFOBphkYGqGhEZTgroWSMJSEmTSxiaHMmcgAHvg283n0rOGeRxtEsU/YNKsCzPxWprPtsYtihe97vObGLh/+Qo/9p5oManY0w8g3BAn4scaPNEpZO9bKCFkO96E8nqmWJFrSCD02TA34N9/d5/KLRnzojhaP7J1kftBkqAJ836PmCeoSwnzAUm6vSmPzCQIH5NWalfHiLJfRc4Iad8Ty16X2Fg6bl2yd5ARgINIQGUGcybrDh7/oX/R9L/por7f8opVOe/5vzeCzM3Ny0H72Jn/4mcldmyIQHr4PUiu0lnhaF4GkygZY6gzwFXCPyZLingM7kygug1cKf7KJ4QiTJXLsqLe83NPqboOnUgtwlRZyxPNi2r2Ye58R/PHnJrjjsUmW2i1kvUarrpjyDROBpuEbGoGhHpCxtmXueiipBYpaIKgFZBV6OgO3JvSt/lbeiAOn4HS7ZhMrmb6tJk7K+hnbB2lBnmhJFHlsmBBcum3A0ycS+rHPKJvxHURY8Kl8sm6eqIHxOo384sltyDi19eFvf82A1794mS8+3uUDn5/gkb0TLHYbtGVAL/AIlCCQglDaRnBP2l3qlCgvUiWyst81GHxV/co4kzuEpnECTyNIKYPJnLljDXEO6syNQadAwpOHPX7t3fdN/uO31W96yfWXfo6vMjzoqwJcJsfCmh/9/oADzaClEELjqxglU3RWl6y1wDNuo68FuAvuynOd61AH4M4BqfBCRZqYSoG+lSU609waJVM7ED93M2TMfDfh7kc9Pntvi0/eM8mFThNRq+G3fCY8mPRtJ0/dJ5MdUA9EdpdZyWmmuwNBmLN3DnAvIQgSakGEMTFfeizk+Nk6czMCX+pMx4qy0ddhO+NYqGmqGIx8tm8QvOa6Pp94IKIX+wxiQc23/apBNlmqXKVU4VfbOeqUx9UIGyfljQra+u31cMTbXzXgW25c5K+/0uUz9za4+6kWF9oNBiJgEHh4vsITdqSHLyW+MJnUMiiEIw2r9uEaZF5xwUrmFkUAmo4xtr2Xr3VxZeTdWgmgWenVePCJU83vfnPy+0/uO3M5MPhfBvhyW7M8HHxfsvL+qZmp46AVaWKyJI7KAk2ZaW1lnRQjiz0rc1mSv87fq5wEsL2Ta9QEVgJKB9h2QKeVJCIDuOelBF5MrRYzHKXsPw3Hzig+cuckn3tkggvLTfBreBM+DSVp+YaWp6n7hroPNd+Cu+bbmYS2zFQ6d5F9bjKQ6wLkgW/b0w6f0Tx9NATfz5Z546ToRQUFbhBm66UFSWrHOV+1c8QVW3vsO91gUBM0EkEYG0aKzNrTGXvnbkpuQZZapfDZi6SbyqYP+Awjn3p9xA+9YcSbb1nh9kd7/MUXGhw7U2Pf6QbRSkgSegw9D6nsVF8FeNljzuSFdKEM/lfdCjelBLWmBLWGQmfbz2zjcyHaTZazz4BdZoMEC0f7PPXMo8zNPr/+/qoAn19eFlEc/cwf/smBqUs2hty0O+KGPQmBL5AemFgSRQqtlWXznDUKQLvAlqXuRmSgxnkcg3ceqReazyY1rCTR2S4PKWFoJ6kmacq5Rbjzyx6HT9W566E6p5frHD7ThDBENTxqnqLpGZqeti6Cbwfn13w7rs2COL/L7K4ygJNp7gzcfkroW/a2F1bE0XnYe6yBL6v2YCFRKOvBC0chd1J01teY+FyxfcCl6/s8cyShn/i0YsHIgyCxMwGVA3ApBULKCpPDuP0mimA276OMU5+RHzBRj/iB14142dUdTi93+NLDAUdOhtz+WIMzizXSgY+WHnGgsvntstiQQJJlPKGQLWuBvBJo4mapc7cl16jauWeMTQbwOIVYI3yNVCkvviLi5kuHvGrPl+Ze87qf++f/+gcPvVP4l6wZvj0vwP/r+z5HnCR89JNdSDewc9OQq3aOeMUNQ67YGbN5RnPJjhHKSNJYVpbEKtBzKZIB22HxnK2r38w4EXvJ2oUUUSl+mBKnhiMnBU8fUdz5UINnjgY8d7ROZxQyikLwA9SET6gEDQUNT1N3fODQy+s08rJZWxceZrIkCBRBILMLwJTa209tZtG3Or8WxBgdcX5JMjIhnicJpMFzbLYxAi9AnhYBuu1vjBIfgce6mQiphvRin74nrNMRlwVjntKVDKQUThSbDztCYLQsmdwZjOSnqhg/0R8FbJyOuGhDzPUXjxhEA/7R0TbPHAu488EaTx+tceREjThRECqMVCAkqXSyQUWSYg2tUhHnuQ+cP2rnceyuNcQaj5RdO2O2zCRctjPilTeMuGpHzI6NIDDN0dKXvicS3jv/lxjcdD7CkweH6ifecUKM0oDRqM6Thz2ePlTj9oeaTPoJF21NuOqyiNfdOOLV10ZgbFtUvUmmsyVoQZKBPw8kKwzuXvLGAppsfonvGRAaIQ1xZOgPLaMfOyX58ztC+rHiiedqHDoZstALGKUBeAEoHzWhCKSgrqChDDWFHWemssIjZVk78IVNerjg9iVBJkvCAMKAzDWxKXPf0wR+kmVEY+q1iAvLKXfe36LdDZmeFHhSFyUDOQ7WZDbtBIRaMhop5mYVr79lyO2PDDjRbjLwpZUpHviJwY9zzzrz2GVq7ULcWSey+B3aeJWSiTSVBKki9RSJb8c+xLFvrVQ/phnEvOyqhJsvH/GWVww5cFLy5F6fQaT40J0Njp7zQUj6A480Unn5JsbLAT5mGbnp2wrAAaMRqUFog8mAXW+m+L5GGM2rrxvxuhuHXLknZvvWhEkf5lqAUcSJz2DosbJ4UHzy8ZerX/m925Nf+aev//oAHidw+Y7wXdtmT13zSBrZodm+RGuP+b5mPk05uqS5/xnNR+9MWDeTYLThut0Rb3/t0HZnpLBuUnPtVRHNWrbiGFHkwFafc1EM52n3BU8+5bHYkdRrkof2+nzqKzWGsWIYK86eC9DCIzY+WvjgeYjQw5OSQAlq0lDLgB0qQ6iMrQH3Ms/XK5k7yPsyC3CrrEdTFOwd+JogyAu00oK9gyBGqYgvP674xAMtVOBZu62iv5+fwXMvPE1zx0MxHPq8+dYBn7yvw4e+NEkvqdHMdLif6/A4T8qYoltICFkAzP4q6Wh9B+A6G+3gWSb3PUXieXhJaoGuUpSyg/Snawm37km4ZU+MESPe+qo+w9iOc/ubr4Q8vDegHgoWOoonnwno9GWmkgTPK8qLnSdsa+C118bMTWVlH6nm7a8dcu2lMUbDumnDzLTGs0UZpKliNCqHOyFinjmydM1if+pdvmd+4uti8LOLXfzp5sQHPvrBPc8eHakEgRXdnu0/kyn4Gq01I60539acX7FDYw6caPCpL9sr0aSGyWnNTddEtOq2DnjN9KR7qWeuw0pP8cjTAZ22QnrSzkQxnmUm4WHnAnsgPaSU+FJYMEtDKDWBtEAIFASqnNFnQS7KhgfPNgLkjccuuC3DZ2W1fs7gqXNPCL0YYyJOLwREoxrhpCTI0t4qq8qrZDEFJXk51mnRna4VUewz3VJsm4sIxJBBEjJIBHXPDsHMa0jyhJaSbnmrLH6X/R25q6XL7KnWWfNJKY2SJM3yBiqby54QJykqtrkET6VImbB1Tmcrhubyi4ZEZoD0NO224JGnPVb6ElUolmpQXTnTWTFWs6a5+ZqYyWmNSezKXlf22FmZq9CxT2Ts9zSUU8vsip9wyeYltWHryT3X3fAjE//2R5c7wpv+6gA/c3aBhYXld/7JZxdf9dyJEOF7Y00GmUaSY4EBmsQY2vkSpDSdFcPZLzedP3EtgLv6LTs5QqDzLRfIak6FKoMcKTMrKwd1lnaWZBu35r6x8+hlnfSKbOs9CnDbti5FkIE78ChKTC2DZyzuaYIsO+r7MWEYc3JB88Hbm+AF+FKUAWYhT8QqBnf94TxBZsFmB+tEsc/3v37AX9894LnzLXqpTyOxm9LaKkBTduKoPCfgBnt56WIuhaRT4JXfdVEL43kKP7XzUvwM6EqWSTNbN549FzobHJTiCYMwKXMNzbe+VINIM5kJiHz/jDXOeVFjJKw7F3vk81iSWBKT25z2EURhYrh5FITPVC1hpn7oVcPe8Xdikp/6mgz+nj+7AyVlcP70OSZCj0RIUhxjHpXVGzjrbB4FQ65F7PvKkPoOuNfEd85uOcCrwYuQsmhBUwJ8YdPKobDVgr60rz1JVlORdY/nhUQezhwUsp3Zyq76EuCykC1hYIqWtiDQzuCcBD9j78CLkTLi+DnBfKeG8DxCSUWeSPfPck63Kx0qwMucjijxmZ0YsX3jgH3nRgxSj2EKYSrwU4OfZDo8oXCWyhS6qnQq5LGdnbSb11kLRxppvFSTKony8u3LVVasZreVUbK8C6lRGchF/ruxU7KENIXrlQM9d8DWAniZ3CvjstyUoJI/kVnQXBoW+T1JIR0u0Iv+Jlgr37MK4Pc9fQohoN0dMuEbUkyRYUpyzzK7ogrLJyd3cuC7VPXVZAlZV45TWC8EkjJFbKdSgS8MvshAm0mA/HnxXkb2ZSkoRYNtoIQFewXc0j4GOdDz4DMDd9794+lCovie1adBEJMQ85n76pyfr+NPKgK3hsN1UBhTpG7q2qm+zJM+w5GdYPuml/S476khnaRG3/OoJ5ooS6crWRZE5QVndiOv/DflgWZetZlbh9lMFQOpsr/T04JECbxUZrvY2VqeJAN6mUzTRYJNSu0k3rLn0gV3ZvMWe8U8z/l3Cu0oTAgq7lu1bslJHmaNNYg+It63Rj5lDOCf+swdTE/UX/r7H7r7xkcWE4SXFahnzQhp9jw37wtmx+m4zj//6rAuTnpRrSZA5Y/C4EFhtaksZWznm5QaV+XAzgd6ZvLEBXYxB0Vh+xHXAngecOa628tlicn0drWWPPBjAj/iXFvz2KE6eIEdAS1NkZ4vGJwqi+fMVfrAbqmoLDzxOPa57pIRs1MD2ssN+omiocBP7N+iUjtAScUuwLEgL36RHKvUFFnfZFYcp2wvra8FqZKkSpMqQZKB3C1ey8shZA5yB9R5yYRAZyAnK2nOM9Fl0q5SjFGpX3HZ3PnOfG2Ax6miE62/UU1+60uffPTt977ohleuDfD5lRGdof7WRKfXJnFEoHzbXoQpS1vzLTAwFfbWRWBj/y3NakUiMvvENZPyqzzPipXgKLc7GS/h9PLaiKwGPC/1tM3FeaeKlSWq6F4pgZ0331r2zjS3R6G3c0vQMnYJbr+oTowRxHz6KyH3PdNChh6BFHb+dlFBWLbRlRV/49nMamGa9cQVqVYMhj63XDng217W5T2fbhGlIb1UUksNo4Rs5XKr/nQm5/TYBfV8TA7ak1kvpCjAnSqJUtoyupTZaAntlCK7NUCmBHkl25wzeb5IOzJVrCZzd+ReWcOSy5RqWcc44LWRxHGCDJJrm+HCtxod37smgz914DRz063X/+4H7/yHD+9bRAiFZ6cQZ/9wFdA5i5Oxdw5nV5EYKtdr9sc6DJ6BOweAdEAhKWse3NEGOXPbLUjy12QMTtGGVWHxrBvGV1Vw23EKY8yd9WwGWXub7+UNB4lzj4mI+YsvTZCaEFVkL90As+xrzJ2NigZnrF1PSzsdKs2DTQ+Bz9tf3edPPzNiRccM0hqDVOAnFCwupUEmoig6s3bh+PopKa1J4YBckHrZ6AaVgdwzKG3lih2zZysYbfa4Om9SZRNq3TqhvFalaEopgF5KldUAr67tFZDnn+esDSXwM7b3PEGzdoS5iR3/cGLjbXfFg6O3+/WdVYCbJCIeDS9h1NuVDLpM1ANn6mj1ysqLZ/Lidnep+RqK2/7ROZM78qQA+lh5ZqHFxzRnDnp3todSotTiWcVdZdhNBmxPidJJKexA23FvG5NNxtxlgOk57B36EY8dkhw8U8MoHyUlgdR443UajgAfd1Hye9HppIXjV1uQx4nPrs0xV1zc44EDdWIVMEgENQl+avASkcm3rAsnyXQ40sqFyq90WU840sjpnMlmQnpKFzMkVSb9SnDntUAmKxPImZxi9RAOuBH5xKy12Xutm8mbVykDT3cVomBzC3YhJO3OkLCrd9Vm40vSRN++isEH3WWUGVEXA+YaBqFKyb4qkDTV9ytf7Kt87YK5XSYfB7oDblXUfJe2WylZhO2eFyW4bZApim5xrwC3rADcHf5ju+0pgF1kKwvmTgk8m9ixXUExhpi//FKDxcU6IvSs7+5ehOM1KCU5VSzCvPnWreMuvGmtiGOPuRnJ217T5bFDE4zSGn0VUE+tFs/LWZUkA3e+VujME3ejIVkhKKthjXOBuXNsJErnK5IpnstiW/VMg8t8v6NcmsiyOWKcwceaVsp03+pCu3EV4NYsud+//ByGozpmHkSzTRqXxYUFwH/7fZ9EKcni/IodfC6sY+L+I67Gxnluql/neW+5/1/Kk7FHF9Aui1fGi5WMLV0GV8Jh8VyuSJRXBXjgZQOA/HzrwCzD6Rn8IhWvs+dp5e4p27nz3HH46B0tRjJASZVlL6sX4ngGc9Wy7BzDqg7PtHiqSFKPMPV42+uG/PHn+jx1pE6sfPpSEqQ6c48EMjXOcTK2vUy466nOfld13yKXyVMNXmEh2tHWKisJUKkph3UWc1lEcUEnY3rcnk+3WA6HyXOQf6213mXuDPgu5pzP7HNFd/kZRoOjNu3vAvzkydNs3bq58eM/93s7F1bmUcIuS9JUwV25ulax9xpgdl+L8eertffzSxRRAGd8HLJ0GDsPMvOpTZ6Xb/KaaW81Bu48fe/njcnazgwpWsTyns4ku8coP+LgaY9uFIDyMnlixspjxy/c6gGpDjQa88Kzbpwy8ePR9AV7tgx56mBEqkMGOqCW2pptL9PgStiNXG1iKWdLTR5klkxeJkzyDnevGGxq38sHpnqarIPIIHU5ISCfrpXm3f2FAVAGl0XgOXa+c7SsapiouExVYFVdFgfgTlYYNBP1IbPrt+zcec3PNpYW/kV/Zm6jBfj58+fp9zqvu/XKDT9/dP+zpLoc1l5eQWWg6Z4od5V5voCyeE9UPxPYfI4LhBLYZR+jclhRVYZq5iCnrJFWDqiL51mSR5F54RbcFsDlUCDflScue6usrzOIWOpq/t+/arE4qCFC38oTaSqrSjk456trzso0gXxOTMHg1lFJEo+JhsdPf2eXLz42weIoIJIeAykJsh7KcuRDxuBuPb3QRRmtQWfg1lna23VWRMbgpgjSc7ArKTIGt5IoLVwUCplS6vCynbCUKXngWVqFlWMztsqtDfAxLK5id8HZC4I0vPjnzeFD9ybx4K8hY/D7Ht1LLQzZd+gE6ITA860z4l4xY7/5a+Vv8m/snuDqYMcx1qZMa9s5eeMSpTqYpgC2FEhVjh9TDqg9KfEySeIVAM81ty6CSt/TBbh9L6+/qLK3r2KCIOIjX/J59nAdpI+UkjAvjXWszWKP+OyPfN5qQko2L3aqcGRKomW2yZPPVbv6fPvLOvzx52poL2QgA0IpiqSPkoLYCejGmVy4TO5mDZ2aGK1AGbsqaCMsuPMpYdkw1XKsRDmLppxMa/s4hazKk8JZqWCgfP313Fbjr6rBDZLRKKG9dAypIE3sxhAewHJPESaKlb4kTiAIQBYlrWYV0IXJsq3PB/L8j3DcEvt2XphvVg2UqXjGRWApSjYvGPJrAVyWAFdODbWX1aX4FFLEV6Vb4jvDgUrNbdnb9+zUquW25m++3GKhHUItc0+EE4w9j0RBiCqTu0H6uG1XJDAkOs3dFI/pCcU/eFWfT943ZLEXEimPQSoze1Jk7o0om7HleGJFZ3Ud9i1dsHnZG+nlzorKnmdjr3U2Djs/7i7IRbZzXiElM3liV2dXj4sxuSKqABcGYZ4f7RZvOfAcyZwdSIMgCDQb5zTrN9qtXQC8Z587yPq5mR133vXQzzx0/1nqNYWSq8W9yzxf7SayL5MTmGHsZDtAr97F2hIlT5xUgF2d/e12uNjh7lTBne9skDO3cph7FYPn4ybKkROespnLo8cEB47X0IQI6RXNuWX1oBs/CMfVKP94txalZHLhyBNROBlFu1lqqzkv2x6xa9OQxX11TBpYFk+tTPEcF6dkT7fQKxPceRkt2NdFEVO2kshybqQb2yhtLxqd7dxRJLRkSUYFuLXIZqnkmlyMSRUxhgdTvFhLppTviQLgVI5j/p7P6TNL+K0X/czmHS9+4tyZQ8c8KTRRPNrYCM3rTbRMq+7bKa8umDMmroB7XHCPf6ExvT3+WMwKoQryqjwRjjMhnGCzBLRlcLJRwK4P7t6zLa2VC24H5Nl+9X5WGpqzt8pee16MUjGfeaDFwYU6BKU88R3rsnLBsnpcxCpWKtjTDTidMRyOFo8ij4vnIt50S5+Hn2uA9klSq8X9NMvuplWpVDKnGyxlIDfGkSiOXJHZc5mtKjK/i2xbGlOMW06V3fDAnhdTEFOZ8HGfZyzttLcVbS8uuL+G6+S+GLcOU604v9BjZot8/ewo2jiKzDHP1pEYjLA2ms79wVUOytd5c75gzlzPaw/mB4Gq1i5liijKQMeBXbC5Ek4TrgPubD5huW0Hq4HtlQOCihFvns5Anlh5omLqjYgH9iv++stNBsMAGh6eFPiiKk3Gv7/7N68J8ALkjkwxYwmfDORx4jHZ8njLK4d87r4+D+0PME2fQRoSCIoLTRW/v9TBzlpagNzNWdjgM7vAlGXzVFo9rh3WzoN6nW99ooWjv4UT6FZjqFJ3l3GBfU8UQHfB/Ty8uQqH4wC3WxXavUQFMRDjnZ4fMhkpjp0bcnoxZdOMV2bgnucfzL+Be9hW4dxl61UAF6vkiVzjeSFFRAlqqZzdG5TIalNKcJcgz8tmDZ5XjlD2sk2YPFUFul+wtb0rZQPMIIiIo5TP3d/guRMN8H2EVBmosrkhTnApZPWkjrtG+YEsayyyEggnk6mLaWGy8MTT1COKPC6/KOENL+nx5LE6oyQglT4DrQhSxr5L7oUzxuD20Yx9l6wKGm00WglUng6XAqNs+X+ux4sVVYLUzixDXa4achzg43EJY8D/GpnO/L9ZSyIb52e2bhixdV2X6WaPhtfD+/jHP4PnKVZWOkzUPbuASb7ayvo832C1YwKicmJXaW7WAnXO2G6AWe5AUEoTxyosGDsHeDk5tZAoGXNbxjYFU3vFY/ncz4JLT8WEQcQzxwW339egPwig6SNFXjmIYw+ukcV0/k6Xl/JaFIuurLLQdVPchI9TgBXFPq1WxBtuHfHJu4c8eSQEL2CoJUGmxZW2G+y60kCkFPLAZu8ch0CVTo6nKKWLtGyeryp5kK+NBbvUZaJNaNdNyc65Lpl9PMexCuBjoB8H9dd7kwKSpM6+vc9x7OgJtE7xlF5GJpKaimjVZfWkfI1fMP7xmr538cVF5Qpek8WlA3ZXcxcgt3rbzWYqlVUYZhWFtp0re+6588HHwJ3d/XwKbVbg76nE3r0Y349JTMqn761zzzN1qHkgbUOz75TwVkpj3bv7Yo1bZaY2GaMXTeXWUUm1rAB9NPR5xVV93vTSPs8er5EkPkYoBsLDTym+k0hLFi+/wtpM7g6xVypnbsvm9rUdkZ3r8MLvzxk9X20zBi+Gdo6BuxJwVkBeuiprAftr4jw79lrY3Z9XTkYYOoDBy5tVpbQbFImxf/3rvYqE83/jjF0+F8WVVgDcaetydxaoALsiVdw0vXNXY+BWzt0rN0HNAe07oM6dE+uY2EelYgI/5oljko9+qQUEIH2EUEUXkco2UnWzrq4jlJ8aURwTR9A5RWwlczsa3Ai7I4bKRj8U+8R7GOPx9lcPuPP+IY8ctpMEYq3opyIr+MpAl+bAcepAyssLsKsHigrQ809VBnots/188qA4194yY3NhH4tzqJ2BndK5+CsJsFKSlMfrqweaa0aDlZ+1sYxUEiltIO11+ykIgU7TjBkF5usAtVj1xA0snci4osGdKatjuruUKiJLFpTWUw7wYk6eC/KsNa3cbMru7FAOwC/BXWFt5zFvrM2lilIJvp8Qpwl3PVTn6UN1O1lA2uAyEMaZHOsGVmJVYCVWH7FKdWYZJOWuBlUtnrWyaZU5KqnHKPK5cteQV9xkWXyQWhYfiYChBi8VZeCX5nahBVQpUewXcOuJXOtSSTDKII1AGWz20wiEsfiQRpRSxQkqS/bOzqt2L3xnrvsaeRB7lFZrcbEW2J4PlULTDDW1MEVrg9esK4QQJLFmhGXLMjo1a/0Tlcus+P9Veiq3hEQhVUppki9VVcekukfMWP2JoNh7p9i9OG++rTQ8lFuXKDUGbmcofuGeqBTlOQDPJErgxRw8K/jA51qMYh8afiZPKFrTlLtLcHHhlvFHRa+sQUYu0F2Z4m4OoM1aWtyjGUp+8A19Pn1Pk/2n7cWXakU/VbbKMM2SPwirv1NRuhXOSpIn81yAS1NqcZlpdKkNRtpzZKSwANdOrJQzuXZjqTVWNgfQrkfvkmAF4OJrwxpcwhAMPHustDGod//+725oNYL/evbsqcvsXBJRMqn73HlPrnrPLYpy7rnbIUVWQ1K9q3zpkyIrwxTZPDzHFRm75yMTXI+7ePRK3W0dlCq43b16ymKqbPcHLy6aGXwvIpURf/ypBn96+xSEIagaSnk0lKGuTDaOgqLB2Xda48pMqpuIkpSTYakEqGUsUdqO+UUrJFnjb9kLqaRBGM22jRGnFySPPh2QCDt5QAtLWJ4YT7CsAZ6sgKlCVM6qUlyIxpQgoqxJciVWIbUoq/7WvLv/jeMmFVOIqT4WzTXakVCZVMof88/S1I7W6A3goouv3bj7ylu/4LWXTkwpum+s+SnGKOJYl1WEzlW9erkYZ/RSV+c/V1hAzvMyAeC6J2M1KC5rV+rATUV7ywIMpSRRjvZWxU4PzkZUyoxJkrxSMGfvGN+LOXBG8uEvNrL5K5a9i879/PcLKuOFpfN3u4GmcF84NT4VcGi3NqScK2gDz3J6r04Vqcq0eOrx3a/p84m7Guw95YOMMEIyTH08snqR/Fjntc9pnvjJoepIpyzlbbCzsfLvJjMgSgPSWNmS625p7O8wOvPHdRagVlbnKpuvKU2c91ycrb4oq9hzj6E2ECeC5faQ02eX3ziIjk15c5NLRIMOQmqMsVe/rQtwEZz/0ucPQF1bsPzColh2KraZK0tcHSurz12A2y6SXH87z3Mg59VuuQZ3wG0nsurs0dqBSmlU7nerBCUTVCZPUpXwqXub7D1Yam8ppPW+iw4a1jyBgvHXYvwwrmoScRuQK564M5HK03ZHjVSWKfwo9rj8khFvfmmPwx8OiVIFwiMVHgMh8NLMvsvJh9xREbh8XITAGT0aI1BF3YeVJsaYTIvnJSGmTPEL0NICX+cyxfHBXbC7QF4FdpcsV0neKrJXHU9TloWk2nBuaUgn7uHd/rBicRGOno6YmagVwHP/EUMJ4FWs/TxXWtUOGv8DVycC1m5uqLJ2/jpn7RzsOXMXQFcuk5e6W+VBZL7FidR4shyar1SK78ccOav4nx+fYCh98glaZdd8toK4NdCunqzYAc9/q4yUybzwvIWtTNm7GlxU6lNS7ZGkPmGa8FO39firuxocPuOBikF7xMJnIAQqLR0N6QabYyDPvXkDePkFl70njU3PG0zG2rknritsbrLfo6VAmHL1WG0mZMB3wOqCnTXAvZYFvYrRhe3U2rXNcM3VKTMzKV7NU4TKDlA3xhTa+fkSN6uuKJelhHslVhM5xfMsibQWA7rAFmOsnSdSquDWpUSRVQb3Kv52BuaK3+3cpWVx34voRJr3fHKC0xdCUF5mDcpMnpiK7108d//2CktVE11rAh1Xk+aNB26PZp7Cl8W9aIaQijTx2LJuxI99e5df/0BAO7YBgTGSkVbWNkzz72EgFZQKuwR5+f/2E5Vdhdn8pvJRlo6PlKZkcOOcu8wyNAWDP0/A6YBX57hyMTQO7HGQOxdDsXpKwEiiqM5w1MCbaCiigaJZU0VNx/gvdzi68o+6vnfx5YrnTo1J/m/J1WAYZ+4c2CVrl1NaC/bOCu5LQDtM7umM0XUhTawc0Y5UyRk7KR49FeOFMR/7dMi7/3KCkfatPBGqkCdFU/GYJVbR3YUkG2OB52HxHFelVeiCPk/ZG3S2XUxRSpu5Kon2qHkJP/HWHgeOB7zvU1aLgyIVkqG2AadMKRi8LMDKT5bbf1valRbUpWQxJmNzURaKWdKxpa6mkvixMqaoS8/woF2Sq2BGVPHjgHYtX3yVVhdloWGcSFZ6EnyFV/QqZkNwKqwjngfgYyAvvqDzpVZbQatrE1YX5pgxiWKcIDPbotvdMlC5roN2pEoOZofJZVkdWOju4tHOGlxahr/6YoPlUQ5uC3BfWu3tiao8qaw6uV221glxDpyrtXOQu85AVZ5Qbr2ox+rEpURphdYeSeoxGaTc9to+n7i3wWJXgYxBK2KsHh+vLqxecs/P5DYPVCaF8vqUPNg0GYsXgM58cm0YY2x7PhHCMjyZlIHyglsDSxW5Mo49l4CzY6+l7S+NE0hS8EQmA/JZIfkVPX5yqldSVapUAOyCXq4G+6qAzG17KgDjjIiQpqK9SyttdVCZD6cpwZ1WAsw8yMz3ufEc9vYbCZ/+co2Hnq6jHe1tmxpyeVKtNylasxz2dj1/1wpfm8Qz9iwstFKijDdDGDfoNNJuPJD54knq4+mEm6+K+LYX9/ngZwJQEQiJEYKR9myfLbYavASRcU6xo8kdH1zlPRLGHv9iV2rpFIpJO+Olwtwma3t0MKBzEsvZ2uSflZbm8zK3WI278ec6+z+dmmzTWYPXqCtGA0kttB7t+J88fj5Wif8Ki1efjwO7uAikKaXKGGMLMcbeogrs0kXJXiuDl40YkzJzTKTJdLUjSXLHRDoSRVr3JPRjDp+QfODTLc51A7vftbSD3pWg3LFhLF5Ypbtd33kN9h6/VRI9DrOv2mox34Kx0nVv98+xj3b7kw3NlB/6th73Ph1y+LwEEQMKjWQopLOJlAVVDmpRuQpLmVT8f5HNzM6Dy+bCPs/BnMuWfCW2n+Wz30Wmt7PneW+mKJ/jPnfZHChGT6wFTOcWZRsmhAODJ7LsZeCXWSt3CH/lnxjXPWPgdq9AF9AInCWyqrvzpas48EV9tcPcKgf8GMiLGdnjz9NCe+cs7uXjgFWCkileZgsGQcwo1fzBRya457G67W2TntXeUtquHVHOXym+a76yuBfzGkzuHj/3NKzOYJauRbnHu1s+65bR2nYznTsqqSaRHirxeMX1ET/+9g6/8gcBo8TqULQkyVwVqYXz3SzIKyMcjG1Jw/l+9rVwYoOsu96AkSYLMEVxARRBZ3HRm0q9SuZEVwLKcSn7fDKkKlPyrLsd1ZzbrXGiLYNj8PLsYOBbwKXZEJjxJP1akqWypLhftMLmZlXxe8mC7mCfNdjb2X9eriVPpCm6ve222dqRKM7Y31x3ZzOui+BSJvhBwpce8fnEPQ1GkQ91r9DeBXsXgS2V+1refuX4kAeca9O3W9hUTlV1wQ1G5VWG1VrxVEuktlIlB3qSeNQbCbe9YsAd9wy48xFlbUMkCEksPAb5Kpp9y7KSL2Nr6ZTyOquMtQhzUGffU4Iin8BgsvezWCQDen5+jRDoYvvBLPDMy7LH8GOc98BUWbwAvSOpyGtlIDWGKNYkqUGnBm+inqIjTauuiZI167Wcf/RrM3cJfLMGoFezuHD1tustS8exyPVvsZ+6fV1o72ISaglsT40BXZXg9jJwB37MSs/w6Xsb7D9bs9JE2JJYkWtvgTNByqwCd/G3FX+/cID+VfRJcWIsa+aW3HgKuwD3quFAZY2KlAqpU6T2iEceuzfGfNvLejy0N6AdZelXbfV4hCLfB8LumTDe0lYymcEmd4oLUlqGVFlLW8nmuVTJEj4iqyEvgC6K865xjp8pGX4c6NWAszpHRdgrqgJ6m843JKmmP0jpDlJqQ40nVQ/f71MLU6KE0r6pLAVVkK8VDLhDNNf2hO2BANdiqyZLygCzBHYJ7twHL4NLWQxmNxXGrgSUeSLHdVGk7ZTXpPzJZ+q8++MtjPCs711hb0rtLdf43s7fWJVvYtWKtxZ7Vyr5GNffOZOvbmXTedpea3Qq0dL64kpq4tRHKs1PvKXPoTM+7/6ER5yUINcIRkKidD5IItcKDsgLUGe6ArsIFPAXpmgTK4AuLJBl/p+JXKqUIyZyq9AIR3uLMugtYwPnOI5tHS4yzT9Ouu7hHsUpiY4wjPD+6q4YHSeooWaiUfV3x9m66lOaNZm7Cuxqlq/C4G5Q6byXe9w5s5cz8TLve8wxkTm41Zg8GduzXmV7z1gNHuMHMYfOST5xV5Nez4e6Ws3eRc23s7qIMsFTkWRjz+FrJ3lKBndAD44WFxX3xGRNBwXQpbMZr7RaXEqPOE5pNRPe8so+n/tKnUNns6SCHVBNKgQDu9bY76gzcJsS7KYAdeaWkCV/igUnd1Ly1L1lb5WD0JGhLtBzYMuxVb44dpI1mXstHBbXZfbztnTD4+Ktitff3Ofi7Qpv99YZFhc1h89Luxe7vxb75v+IWf0LxsG91pfOQVwkRlwGNBV5IorZd6V7UoA7Z27hDmbPnRNd2W5DOrJEyswxyZjc8xJGseaOB5t88fG6HQ4ufQvwMfbOi7yUEFSC4WKpraafc4SLr4XsKqFXge7ctc6yh7mTkm1FYnW3LmWKlqRColKJFop45PHaayNee/OAk5/1GWmrw7NKKBI8hgKkdratEqIwsPPUjyrglTsqWa24oAC+EaIke2PPqRFZ4FkBeplR1UWyp5yVIwS2rFfk38eN50S2yJgKqEsSsRen7wmmJ2p0+ps4PT+Hd9mlF62cOJ58rrPY+A4LBlFZioXgeVm8CnKzCtRunXRVf+dgxlm+ctA7jF0AOwd6WTZadU6q+lsV6ffUeZ4gpe3UkUHC3Y8E/Mb7J0mNVzonUiGEtPsAiTItX2Vw1/FZm72/jiRmieycARmXKaYiVzT51KusGEuUjkqhyaX1xoX2SBJNEKT8wg932H/K4+6HJToQGWTtHxBrxQBXUBlHlqyhyQsvPFtt8++bBZS5DhfZBaApR0kYUcVT4ZOvaoJwuu4ryUPjYDBvqTRFLkUgENqQJJr+KCDWk59rTV20oq67Zntv0Fs8XAvEj0sZ4ynhJFUY86mrRVBrfuYmZ9Tqgim3SKpMved2YJmKV+PVgU5AWRRUPQ+4XaniVRI6ttfy1JLgNz4wyb2PN+2SJW07GtLHk4K6hFCSbXJlVtduV+5ZA3QxJKc6jCiveZdqrGHaOW7la+Fc9Gb1cc3JwJkDKMalnvuZgbnZhNAzPPRUwMrAqS3Iwsx8inhZcVgCSKy6Or+eZckpxh2zm/NiLkfMr6ontz9YcnK1MWSN4a8FIdjFJ0k1UgWcPrPwQ48+8dx+b3YiQUhBHKf0B9mOs4WKrOrs4mpytOU4y7tM7aZorb4yFTav+MmVbTGq0kSuobnzHQbWvCs3sMxKYbPnaZDygU9O8tdfbmJqCoSy6BQeQspKv2XZ3/hVOuZd9hmPyB1cuG8XJ6xK5KVMgUqgWZ1fmAWZ2fxAkzG3MbqsURESqRWp8JCDlNteNeC5Iz7vfK9HFCYlwIXAaJ8RWf1Rnl9PrYltMCUoMwY1ZNlNbQosFsFmzshYNrf2YLkg5OffVqeK6gqf5vgRhQwpvqZTAFmVzM5lkj1PU0NqEnzf7kfkrZ+NkBL6A02aGNK01F/udevq8LVlyvg4ZBfkZkyiuM6JYXwEbwXsud8tMoA72rvC4DJ1nBQX3CnSqT258+GQ93+2yTDNpuCL3BrMspbCVLT3mql5F+juRT8eeIrxo7j6lu9mkHvPqzKamFUltEY6mU3pOCtC2cIsmRVnSU2qPUJf88Nv6nH/kwF3Pm7twtwbRwq08Rhp245WFJGMW4cZUgspJQSKXJo4IM+bHhzNnf9MDlohQRpTIQmTHS/jSBTGM8M59grAi8rRNUAca3pRihESMHinL/gIIUjThDTVBejc81GytcPiDnsjKPbUWVOD56n5tZyTHOCuPeiCW5Q7e6lVOlxXPfBx9pZpGWB6Mf0R/NofTXLkdIjxyt2SK9o7l0gVYI8BmjXA7Kx7ax60NUA+voFANaPpFl+5enx1bYqWWcWhdFlcIVKNEB4y0ly8Jebf/Uib+38upDvM/hgti++V4jHMMyx5cbcuQW4koDNQGwqHRWUBpZFkXUkZmLOalDLJ4+QM8p9xSS9jzWqi0BTFa+NNyg49FBeHwMrEVkPh+8rWovSiWRAKk/aQep56uNoBEM6T8WCS/IJwmSwPLqTLeGYVm1dG764pUbTjgzt9iRmbF8xdcU2c3Xkzz9vzYpIUfu9jLR7fV7Oet8yZu3ROfFGVJUpUWVu4YB9j7ixywh26uRZfr2LyMefE1ZRFMVO2jeOqakNhGbwIOrW0IE8lWmT3NJMqWnPdZTE//V1t/sdHpojSjMWhiApTFCOda/Es1+6AvJAowslyCrtBr3HZXILQJXPLbMqsMaVsGT+mppAlolhAXGbP94uynzlUkh/OrNnZU7Bz2zTr5yaJ4gTvzd/2BsJakxPHnuXpRz9L6PtONRvFVZP/W+5V54IaqpNNV48KGHdQqoAuAW/GZEp1f8aSvdNSl7tJnco9CyxrKV94MOR9H2vRHvjWA8w8b7ImXeuclFlLt5RXVb73av1dMEslLBPFazEO6DHWXoX3CtANbgKoZO1sKmwuSdwkkLA2YioV0mhbr5IoJmqaH31rn0efDbnjAQWNJGPq7BtKQaIlQ/KYogS5wZbGUtiW1vPOYlVb1ptLGJ3LjVK+5Ku3AaSpWqvFNGIJwrgqQJSSJP/5PLLMcZkdwLy8ZDCM2b3nRdxww9V0Oj286UnwA8GmuZiVDX26oxbDKN8nvLrSrjXE3NXdjGntcWCXrG4cTTsmSxxJUsqUcoddC/C06ndLawXKYl91G1hKmSC9hH3HPP7nRyc4tBjYSzzzu+2jLNnbaXiugHwteVKRJmPTmlarkepyuMpdcFm8TKwUjRCslcYfGxKUF2IZXWwqK3KpIgxCesjYsGsm4afe1uXYOY+DpwXGcwWWAOmTZiBnDOQ52lQOgoy1JWQsLopAMy+YKlh8TLpYuLhzckCk4/FNydrCVCWKGDt+WsMoNpxb0iz2BHHqMYwVnhAxQiYY+mjRQdDMLhCzmqEc+VGRJPkfxNqSxJUr5U4Arv9d3cRIZTKkZHJHdyudvR5P5pRAVypFyoQgTDjXFvzaeyf4xJcaGF+V6fhMmqzF3sq5AFc7J1V5Np7UcY9XdelbReJViTL23uqaFFeH54B2A9C880dmRU358yz4TDUJGl9aV6U9kvz8bynOrwgIXboVGLyCyUt5kl1o+WPG2kqC0Zl8KdwUkQWZVSYX0rolxmlwMY4sKYA7psWFiy2X2V3ytT9BqhKMShBCg0zxzi4GzM02zj28r3H7o0/ueP222YRWQ5QzOYqTZsbYyzhp1eqWFWsB2927ZRzk1R1zdcU5cbeOVk7FoBI5W9tMpcxcE/vc1ppEaD51X5MvPNzIak1yS1BmDJ6zd7lrsDtv0GWTVWWxjhavSLXx+EU4QB6/ubUoLqApPWOjyyo9t9JQZm5KrsdTYfeLtO6JfU9KiTYqe08ijK04DD3D61485M0v6fOnn5NEibBp2/zLSzD4JEYwzDqDjXBliqvJ7chmkyXkTKG9bUGWdKoSZfZZ/ijIci1jjkqllNY45bOFBnfryLPgUsFcHV7/snXceiW3b5zzzrVqAvX//u7v8eKbXr7iyWBFCb6v216gUZNF0qVIOBTBYD6Qptxtq5hl4vZTqlxejJW/up05Tl3JeCmsrFiBpgJul7ndjngvA7fnJaRS88l76vynP5zk6Lkwa2IoEzpIDyEFoYSatIPsvWwMXD5bvEzmlKPhrH1YZnuLKbcCpJQU26qI6pB+WyshxxJiVI+dI5FKO3Usezq2stgAThSB3OrSZMP4Kow2zEykXH5JwskLioMnPJvwKa7G8mrNHZBy/MX4z4xfyeMXefbvrF60qv7/GA/k5cOVz83qnydjdN8ThL7h0p27mWyt/9cnjh9/8JrrXmH36JmdSPB9SdJLYKiz3YDtCS536xq3AHWVvfPnTtq9ZHRTlShrBZZibA/0XKao0jWRjhTJwS2dgDK3BH0/5eiC5H0fb7L/cAgtVUgSm9ix2juXJkWfJeMePWt3zDvBZnHKRTWgXOVEFRGRqJzk6kkX2GH01ZOZuyj5QKbx9L0UoLXddTj3xkXB7DI7f9pOvTLWG49Hhst2xfzwbV0efjrg2LyzVBVBp5UhCYKhsMEl2Qg3o906lFKXFzUqVdVj0/XSfpazchFgZljOGdpUsFN1VcT4Y3Zc4wTSJOXswojW+QGjkbMJ1a5L9uD7NepBjIgOorykiKKretstthp3R9aSKg6Qs+Ayly2Vvc2d7aFzYIsiuNSUbkpeOOXIkuK9jL1VylJX8Dt/OsFdj9fKKsE8Y5mBW0myHYrdMcjlxaocMK9lC64F/HEL/Ou9VRhqvC7FAbmVLBZQhUwRDvidTKcUBi0MQtvjrIWyr4Wyl5HQpH3Nq64d8c++v8N//qMplgc5sDPEaZGB3CORonBQcpCjLZDJAZ+RRf4diz2v8hKX7IIQ2UXgdviYsWNc1oxX29eKVciRMmiIYo0Qgg0bt3DVlVfQ6w/yaxSmZzdw0Y7dd7TCU7+xdZNmoh4R+CleLjOUu5XzmKwY+6xS+ecGhk66Xa2RuFHK2n2lWzLWlbOqOjB/nlQSOkNp+IOPN3nvx1p0Y98WUuXMnbkmdnZf6ZxUiqryg5yzeaUYyGHqNcFcnXP99SB9vLu+AHL+maku5dWEz9j+OmaszS2rG8/b2/IBntqUe3C2PPjxt3b5idu61HUCOgWTP8agEzAJRhsSAyMNIy2Is3tiBLHGzjI3giTfDtzYiVyJtpn/1JRbhdudlUXxfjGqznlebCue/Xf2fUNqDKm2TcWptqn5ODa0+4b2qMZTBxZ/44orLrtjy6aNJcDn5jZxfu9P9jdMPXN0/WyHMIyLmnDlyIZyPqADbEFFQ7tMnBdJSTl2EeTBY6W1rGRs1wKUOaBVmsmYPJFTZW4pE/A1zx32+fM7GnTibDImObBz39sOOfKFG1SaSjeRcgD9fNnLQnaI1e/j/DdfD9LLdrUxy9CukwUzVy8Cpym5ALWsvi5GTeTvKUzW3qaNwmhFEitanuF7X9fj8ktHyDQpQF0Fe1qC3ECkIc7AnWTATjLgJsbd916sAW4H5PmucuNA1+W9+Pnxz/MhSQb6MSxEgnv3nTl689v+fX/rti2lRAE4nfwIYVjjgYP3Ei0+xbb1spAoa7kja75XZDD1qqxlNdFjClmyloMiHd/bDSylcLKUY6l4z0956ojPT//6NE8fDDG+LGVJweDSsQVNMchnfKeGtazBtWRKJbHjBGKuh/V1yZWxIKvqi4/bhfbEWifCAleaUrJoYQNcbaTVqcagjcx+xk7IEtp64ynGumOR4ZpLYt718yv8+H8RPH0oC05k/mVEuZxkciX3ngPHPtR5S1smUfJV0RQuTOamUGruPJVvZYqp6GuZHQeR/frV+Ye8GlNyyaYBb/2OK7np5lcwHA64/C//U8ngAJPNLUy1tlJXc3S7AcMo74Y2xSzu1VlG954zdjVJI4QrbXQhRapuicPia0kTma4Cd24HWnBrukby+x9v8sTekFQ5rC3KehNwbMEKqN2KxpKVx+cOrhoLIaoHPWf1SoD5VRC+lntQpu5Xs/pqZl8tWdz9NvPJtHl9ihmbjGUtRLtzhEgl110+4p+8pUdLpnZqzhosjkkhkwdRxuZxwdr2MTGlZCkkhsvWumRil7nzz3NWTvXzy5dyXgwEvqFVC2iE61k/vZV1U1uL41oweLPhU6uFh7Zuah4Wg8au0Ovie6awnyqBJfbyez6WFpSuif1vxpna8cHz9zJvO39upU5ayhSRZhdGBnaRoESK56f0NbzvE00++oUmoxzMY8yNsBZdUVD1POxdzaSt4Z7koHWf5xbaKnvs65En4+xdlqeO63ANxShjl9FLyWLQ2vrhOasLIxBZjYow0gZtxtjnOgs6jSFNDYEwvO21ffYe93jfx1v0YuwB0xkV5o9ZA1uqZRlIZql6WyNj2ViJvFYly3iK1UkgtzZFQjEZq3DcTHlcXQclX1i0AD1KidIG/ah2GBkcSkxcHNOCwTdt2kz7/F23X7zN/9BVe0JmJ3vUwyQbx+AU4K/lWbtpdue5ErrSrLCa+d06kqr+roDbKaySImfvFOUldCN47183+S/vneDCol/Udru1JvYuHPY2q7KVq2a2uGUIjIHdfT3G2pXPxFcHd45qt9CqeK/yUmSMPs7WTso+Z2ycz7WoOCtVXa4qWxXaEXCKjbOaX/qRNv/4LV1aYQJpzto5k8f20aRgNFpbPT7UEOlMk2tInAAzMTYYLYJNl93Nam1esHuxEVdVk+fMn6QwjAVnlw0DMccgbXzozz5+z+2bNm1eDXCARh1areAzWnWemJ3pUg+jsWaEjFmdhoPSs9YVqSLzu8g/G0vUuPf8c6Wdf8sJMHNJIpzyV5Uia4a/vrvOO94zwbkl3w65WcXe1YylL5wuIjG2zw4OoMeZ2/G5K+l4h6fF+Jv/izc3o1mCX4x54mPMnQ29NIwB3alRMU4QWnbkj0kVY0EeR4pN05pf+tEO3/HKPozSLOiMS5mSB6E5yA3ExgF59toGn6IacObBqCmDzEKqjDsuhUzJf05UAlBjoDsytFOB8eMnlNf8TEpQOabKffHO3/oQprXhxBMH5E0mSa6veR52KD6lO5KzXj5T0ClvVar8vHAmJFVbUI1lKx2JIseB7njfLrilTPFqmkOnPX79fZM8vq8GtdzjHiuFlVm9ibQlF3nHTr63+1rtaOONDnZP9rE9gyqvy82yRP5ZFuy528GUW7xQtvvld/ffdi8qSVU2ScpkmnTewzUAygsxZ7C8GM41A4r/pmC7rLpOGyYnNfWa4f6nfJaWZRUpq6rKRLHS6OyDteRaLsHcPSZyrWGcn6k+caxUsguecu64p+DqSyTf8Qr56XS47/d+9Id+ogJwj7Hb1g1XAZJzi4cI5DIzEwmBGzRWEjzjToqTvKm8zjW5dqoKc3BrZ3UoGVy4MkW4GcsUFWgOn/H49++a4kuP1mwDZcXrdr1v63nnYyA8uVprrzXMp/IzRQf4WpF83hUuHCZfy3GhyNiNuyQ5CNy9cFaNdMv9cUNReGU3ZbXuiDB2Y6i1irIEdqkXWmZJIonQ2Gy0lnnISiqUravGoIeG19ww5Fd/us0vv2uSI2cDuwRCkQAi726UlisNgoS8uq90q/LaFFnoclu/QqbV83xNPhUrd1PcRFBRn2KvRGthK5iuw+VbZ9i24TJSrVetiqsA/ra3vBYpvejBe3tE3SWKsQxKO5nMMlMpZBlIuoVUBbjzoJI1AkypVwO8Au7UkSuZa+Jrjl3w+A+/P8lH72gQiWz2nHD7K0twS6xjUtZ5r7H9thh3S1jlkFQ0tvMzrh34VdWJ++FYLUUOeMFqLW4fnZLZ/LVTJ04O+kpms2yEkNpCWAsLclFkQnPAl1GsPZeKRBtqXsLbv6VPquGXf2+S4xcE+Nl3csFdBJ/2D02NKFL0ZL2dGjvmzWSXgjE5kdjgNK8ilDnLG5yyWgfkxUUv8IxN+IT19ey+6rVRkiRfG+Bzc3MEYePn9ly6+Yr5Uwde5Yk+vmdBWTlf2VLnuikib3rIvOzCZZF6DTelCmz7WVq8VjK1uliwVQAAK8BJREFUjO+m4b2U4/M+v/C7k3zszgaRzLZeE2vd3YylM7w+O4jjnnfpczvBpoPccf+7Aupx2v5b3MZx7daFr07b21+aD5vMGbzaGGHfEzmLZzpcVEAui+3KBPmYB1U0FCcJ+F7K975hgKfgF393iuMXArI5zNWLUBvssmCzxRpBhNXKvhT4lb/FSjqVv6ctu+f/XM7cOdDzCQHuTWqIE0O93mBu444vb9my+edWVrpfG+BhrcmF43/dmZuR+/3R8OUm7akkVSSpTfUaU57AHNSuRHGbiFfJlALImVyRq5k7z1aKIquZZSpVypklxS/93iQfu6NBpMbAvcoWtAfRl9UunbXYOwezW8lXXsSr72sFmPnZLkcv/K+hezzAHPfFyzcFGrf2xMoUYzJSHQd7werZJq46Z/K848jWjxdJIW0QqIygDUli8NC87VsGJKng5393irNLzt9XYe/8lk8il1ay5EmpbCU1IpupgkBisvkq5eyUopS2OObOEc4CzygVtsy3FqaJrO//gw/e0fknP/j6VYd21VfLT2wSL//0yPBUP+4QBD18L6nIDyncpoQyUVNq7bIxoUy7mzJoLILH1eAuU/L5sB5N6gve88kWH/18Bm7pam730QG3WJ2xHNfdVV1tKhmy8QSP63+vpa+LEyHE/yq+VwdVlaRO1T1xE0CFJchqBne7fiquis7qU4zjqJg81S9Jc1fF2JS+TiVeanj7G/r86Lf38NK0tA/Hk0DFXUM28bWoYTEQZen93E609SqrE0RrJXTyhuthIminmmZzwNxG9dTCSuenzfMcW2+tN9dd9B38wQffk8bJi8wdd63wz2/rsHXO+qg4YMjlSNnMUGXsUodrR3trJy2vy4uhCC5TlBNUSqXBE9x+b40P395gJFVGtS6gHfamlCblvjoOoHGBnnd0UzoSDmjdhE9Oyq7WdgGd/8CqMtmvB9zOD1ZkCuWJrQad5QCd6haEmQeubdGXZe28pFYwnvUs5YvtBrJfw2SyWmUXvMqcEUMoNN/z+j4P7/X4/H2NTGPnKXxTPjf5c0WenNdYYNsWUIEPjjYHSbYPUKbdjSi9loLNs/MGsGtzl5/77jbbdl5rhDyf3nrrW79+gANcf+230esPP/zluy/sOXTieLPmCQLP7jFpWTevOTGO7Fgb3Hb5z8Hsgt7JUsoc8I7n7WmEB39zT42f+90pnjsSZg3DawDbDSxFnq0cDyyriZzqOAhTAXSJ2epWeOO6pZK6HwP11wT3WBpztTwRxZt5pnLN+pS8i6bSoGwqj1VAA4V7YncVFpQOi+1QN2itbOArrHwxKVy9K+a//8s2/0bBp+9pWHTmFqIV/vZePFfZAbKbp8RYVaOBlFKbK0MxnVZls8ZzAsnnr0gBgTK0QsPlG+rs3HhR7/obX/9h5dee9xjL5/vg5mu2mGhx7+/80HdcuRBFU3T/f+19ebQkRZ3uFxG51HJv3X3p9d7bt/v2RtPSrI10A7LpwBtbHqOjR5+jZ9xARweXcXkq45wRAR0VFRzf4AIzbwYVRRA9iIrsCAiiNNBN7923F7rvvlRVZmXE+yMzMiMi8y7dNDQwL86pU5kZkVlVWV/88vutMemAy5uiADqmHRptUWzYUnnUnDdpcBMSxOBmJCziQyzgtvvy+OQ3S3hmRwTulBNHpyaERkollJUZJP+GCepp6EaWVQXpl9qIsTHVY3PaTqH3xbZfwxZs8nXNZQ9oXkxtGRTlmKQp4bsSt6KE2nJBo5WWw7gV7lEs7/Jx1QdHcdG6yZBncJ5BUaaiLWEciy/CWJaQspDIMZSE2tYUj2UQUS5ElpdSDrCEjb1jJwzcc9+OawntnvJWTynBAeD445ehWh4F8x5FIefBtmtxIJRpDSGKEknUmBMIRdJzha5whaYknJwRSUuA2+7P49PfKmHjtqnATRNJHklaO6Ym6eI9idNEGBx7GrCrmDVMiBnBgwraZ8/DzRSsWFor/UlcSijV47gVTZonNvFwJWJTmssoQ57EqUSARxR9iChOhUfmGUIi7VWJkoEHHNfj44uXjUII4A5Tkmc2SUbCQZyTuGJFQAALBJZAWPICkUmRh0/h5JEqQGoEYxWOCS+H9jk9aG4sTXtvpwV4sX5OlWH4/cuXNPyIeluLPrcQyHK7WrAUVwAeORAUqiLpSaycKtybqHZuEoDQkHP/4sEcPvWNEp7e4WSDG4b0pmasiUxgULyv0KV3ipJoCqMBZhPs0BMf5AzQd2eGuKw9k6InSIAb8gQk9nCo9EPl6ERxIBEF9AkXDzPZE6lOiGJdidhu/BtoaFUBBYhgCLg0KALwBFb1+LjqQ6PgAvjlg/mELKd/pdER1ikXCONROI0ktQS6ws2FIPFShb4gGPeBfaNA37L5E16NvL9nYUd1uvtLMW07wJvbux+lTWeP/m5jDV5tEq6dWD6SOiRcj0tRg6ky6Yka8hpokltYBL98OIePf72Ep7dFdUxoBtemOrgpSRw6qjkwHedtJvAmyqYZMRjXO4nBTjQpL6EcA34q3mIcM1iI0kHiTjOUVlc6FcmtTgYOjZtzqZCmbORKIJaaEKHQlaTOClMyg1icGcQDBu4BK7t9XPN3o3j92gpYEKTpiha3ko5jgRAQPKQnnggDt6qcwFOzgaLMoQmPQjg1nHPaKC77m9NH+5b0PLpz/zDHNG1agDN3DpjVdGj/UPWSBV0n+zatohaELtnY3U6zubV0szPlOCMm2CPXeyS5BSP47WMuLv+XEp7Z6QBOZDGBSUsY1MAMAii1TdQsnYy0M1V6I1uS6yBPH4uxa4xTjx9uE8YrPq4cTDk4oQRcSYd7bCVR+6BJbcFVHq6/dKAbwVkRyEUcicjAPYIVXT6++vcjOOvkChhXQW6AO/OVPIK4SGLMqxyocAIvijoEBFxLoFz2cNoJJ/jNdeOXdLaVDi3uapv2vk4L8KLrolZ7Gqes7ul/zXEnbRscX4yRMQfhAqFKoR31JRMSNI7NE7d83JdIbxJJ7rsecfGhaxqweaeDuMyUybUlLYE8Dp2awMzOUb2XWdJ7KsqSLruWCWgV+OYMSIbMCO4s933ssYTJt6U9XLWRJ3biBOhRwfxoAsSgBxJJLpDYw+PoRGooprokT6IRQxu58Aj6Fvr45sdGcM4pkSQPuBJ9OAW4TWkehQjyKJmiEoXh+pHns8n1ccLCZrS1nbLNYyv7H3hiBwh1jxzgAGBZDA/e9+zO7bvq3xM4J4IHYUF5ywqL61hWLSlTTBNeTagObpWWkOjFCAdzBIRF8JtHXXzkKw3YvNuByOTcKsgl+BNwM5Jdz3vGtDM1YMzAaKayaUhyHbxCGxf2Tw1vkdqIdhUxrlKQ5BNEAnwOQxlVpLYyMczCnQnIqSbNVSuKiBOWJdiZcpxpobaiStC3wMfXLh/B2adUQIMA8CUNUUGuSnQO0zGUjOfgnKPKBSaDKNE54HjDumXobubv2fH0IztDXMyA35kGELIMNX8CzCrsGzkwed/YPrLOYWPIuQIWrYW/IUrriIt1xi58oSuSERWJLSiuwK4BCw/90cEV/1qPzTsdCGcaG7eU2jQJpIqpCZDKzpmSpkA6DkQG4JHm2ZJ/x4qooWBCnxwybkKT/jPc5xjTIrmQiEi2LLuQVZQzVFCJMkYodvHEmymzYGKLCo/qlAgoCmZoZpXSHSJ06QtKwaN1sglLrC4IDwGIhIfPsazLx7WXj+Dz3+H4/RMudg0AcYg2R/j/paa4UH648sUhIDwKjzIM+hyltjrM71l63xnrTt83Nl5Gqb4wI8BnlOAAYNlF1Mbu3FJX71zbNqcPxdwQxssTGJ4sw3WrsCw/MfURnYcnx5XoQMLBXIHNe2184bp6/N01Ddi0awZwq1Ql0gFYDGyhlHzQyx6rwVUSlLOxnqSkveLGN/mJqnBqaDaPZwHbdPZk/PXmRJDnaUt+I8FFOFEUbi3X9oHi7RQmD5eSOcn6EQr/Fkr5CS5t4hp1SST50oU+vvHxEXz2slEsmeeHSRMpaR0AkBKdGxK9BnAPzC+jo34IrYVB1MZHsXbNEhTqctfe+LMHtswG3MAsJHg8MLcEsJoeZRi79fcbD2z4zs3bMOkBH3vrCNYs8SGEHUvyJHxWdcUHsamQ5QS27LXwhevrcctdeVQCCrgzgVutKxiakLRltklGtCDSVpKpjunhrwlQ48MZPviEuhDMKKIPo6VAnfJMQpbI1oO0iAR2FBmoSX95HEowVpihT5BcnwsCGu1LKQ5EpsSIusRp8WqglbRlEIDWODqaA7z9wkm4jsA/fquErXsBuArv0kRr9EwlchZyUF7DKUtHcfnbRjA0LvD4ttOwevVxt65bs+jR/YfGZn0vZw1w4vTCK2/baRde9+Fb7t/Ofvdn9j/27RvHyu4aVveWwxkOkoAbBjUhQWg6tIGt/Tau+HY9bvl1ARWQwwa3NAmGCqUSW0IVOgKDbsh3Co1Xm/xbruGYlWCc4uQmRSEK4GeL5NTQkGNrUlkBs/kuIhd3LL2lg0elIAIJX6eJXTwGtQzGjp1EslotD134NHHhUwpwBcyAAfIoPlxUOFxL4JJzyoAArri+hG377BBx0pVPmXEjafRiyJEaXr92En95OsHASBvOXNN0+3jp9A/vPtC/6zXLFs4a4DOzdKX90z9/HatPvWhkaU/3qomRgXWMD+CCtT5651IIbiUOoNjTqdi6mQB1gR0HLHzuujBZoQoaWkumpCMmuEPwySW2ZaSgFYXEUpqsTBwWKVJs4WphS6X2IJPeTSX9LC5gqaSWESpL/Cr9JElRS/qIPjZOW1P3MxRgJJNPDSzSaFOcWZSUG85WnKUVyKgQLD8j+p+yJq9EbmLTV6p1yawlk+LFGCX6+SLM1F/WG6CtlePxjTZGRiLJpH54vM0gS1sTZqO1kaGzrh5gx2Nez7k/abR2/KSn57jDgezsJbhsq/o60bVw7lX792xbtGrB6Ft6OjhGx8dRyJVh2wIUPLopkpIEIFTAExSP/8nG9T8u4kcyEydGUZb7XSm9qpABBhlnkq4paNb0TqWiIfljUnHf6jaUPz759/Rj5h+stCNhK7GCqUlsaTGJ9qVSKbclD5dFddQYFSGS9eOBpLBlJM25iKL3YsuLlPAJPaEijC3kQoBChBJfjUqMLDYAjT8HgKZ4BoLDsQTecm4Z4MB1Py7iiWcdVKW0F9EJhEbUhYAxhgaHYceOJjy8sQXnrF92c6ltzVVDA/2HfV9npWSqbcnibvzqrrtHOjq73r2iN38/oy78WqhghGlXBv+2BMog+P4dBWz4WDNu/nUBHomyezMiATWbN1XNg4izc6RCmaptAt0qQmUyhhoKi4wC/hKYRLeOTOn8MZTILECr150Vuo3B6ZqFcp9kuvWhmAbVfE/tOipdUZVM1bQo7d5S0YwnjWIyNBxAIn6XziJV8WTgNQo7CEF+25eH8M4LJ1Ck0iEkX4ltlBGCHBVwCMW+Aev+7u7F737kobtHmltnT01kO2wJDgAXXXgBDu57fBLifG9o9/fh0nKcxEDUBGEnwERA8IOfFfG/v1OP4bFwub4Q3BHf0sA9le0bSeIwCaW3pUhu0zqixZxIia2OyQKv+rSEDuJEaquxJjrblvQjjfQpMJ3Q3ulBrtAGIYSk6EYglWFFIRlxKkSmsekgD+PHQ9omBJFxVaCRuE9MgqHtkSLk5iEZR8y5ifoODg6WcHaExhGLcrTW13DlpWNgDLjxZ0VMeAj/WEEBwQDBURMCw1WBmtOIv3zjRd5TO/jk2a8990igemQAB4Cm1l4A/JECXbW2PLA7n7OrEEhqdDPGsfWAhZ/dk8eVN0Tgtgz6EQM8A9wkAXesVCoSm9J0IoPOW0WGBBaxBFbpykzvKboIdV9HpYlnMmWPAWaYIFWOy32jL54ESvSgnAjhUiOJd5OIiPBkWFYEUbL0IW3p4fKElPPwOjSR8pDOo8i6wkFBebQqIQ/lVwLyUCehCE2VRAg01wX4p/eNIWcL3P67ArYclDeUAAEB9wlQ52LdGavLK5f3PsLoYRONuB3xmZbdAMbIZ3ItF32tgqWVXQcr4PBh2zVYboCHn7Vx2Rcb8ZnrGjAwoRTl0aSzaT2Ji37EwKHIju2mhhNHK9xDFOVQkcDmtoo7k54kuM5w2Zs3w+wkmaOmBfeUEViKyUSPUVHs38qHa9REPVeT2jLYSnH0qAFcagocjOpYsc08Cb/V41lkiWZmuPXDwkKcU9R8guZCgC9+YBTf+PQQTl1eBrywipZDq+huHsDZJ82rXPqW9V9zbXymrbnuSGF65AAHAEIb+fN77r5i7+iiq+/eeII3Mu7AtgM89JSDf/hmI371cBHVmg1YNtL1SswYE1O6JxGCMohKD4PVs+Mz3e9av2L3NmhJFqfWvZjRpqmAktSQcF/g8Js5H2JQEvOw5oo3QZ1EGGZEEKqxKyrYkYBTi2MRSaShjD6UkyGsoKVwcjVxQnEcJccj5xC3wLkdrRUEXHBqBVd/cBhrV00CnkB9nuL9f9XunXtyy9U33/HQFU0NJT7TrZuuHZaZMKt1rnhX8MhzS36/bF7Fy1n7z7rh55x85b8a8cgzhXBdHMvWJXdc1smQ5mpgVYQgvRKsUMqtJdKbySpbEvhUDZeNXlTfVoGuVarS9uU5RDlPVppSzXTRdlzNKuHjyViimPZIivebJr7MZAxFfwBByoSopdZF8QLaZ8Wfo4b8iswnW6JXiIynnn5NAPpTT3sSKlIichgJKJGKAQU4QVdngDVLfZTqaxiabOfr1yy/4gNvb79mTn60eu31P31B+Jz9c3SatvO5/4u2JnflnQ/uffJdn32UDY8CcILEfq2RWCj7ptRm8Z1jplI5ZUVYJebbXIJbcfykgWuMo4mDh8X0hqRKtYUhAsl2MjFIsk3CbSLt6kQuSJVcJzWZtGMi1sXj2pCpbTlGJpWok90sdS0nfkYBVGWbyJJ7VCaG6xWBZf3JJElFKeCkpCuaiS3x+qqSMxEgIj9xSIfNKPoP5fDA9g3BoXLfaodNbHzvWze8YGwesZKpNo8uQb6l7rm6hrmXfuQd7vU33nY33XbAApibgBaRoVWSSaKAXBIOBdyZxXqijG8CZV+VfMDU0hGGpJJTTUo/ZR9aX5qXm3sp40lMXZR+UzFUlMh4gyjv0Ci0rlwqY4UIJ2Ji9xZJ3kTMp4VOS0iSic9DYR8tO4jYq0l5ZNiIorTCa0YmSiIpiAAHB6IlCwV4uD4Q5WHwFg8nevITE0okfwylAYhVwab9LgJnA1/7mhMuPeR1PFegw0cDmi+Mg8u2pPdkbH3O9s5df9oNCzq9jy7t6QCEC7AciOWCsGj5vih3UjM0x5KcxNiQmXvMcObomfFmlSqRAnCmgmk8/jVAKuMxRZ8K6FSQVWp79k1Md1zpNGsWmsfCfRVIioUGevKDWpI5vo6mMEKJEU9nA8XvCm/XSj2DRPFJJP5enFMENQue78SvStWGJ+bh4Lj46MJFa29oydve8qUnHg1oHh0JDgCL+xZj09b+4MLz37a1Sv4wtnHnXfX7BidR74ZldMd9Bo4AidhRPZThiyhKpZ6dk171TOep6dqCCaAz0tEkFA3pLo9Bkeppia9LbWMeHFnLkujKcZmEjFh6Cs1sGD8giXKpCNWcAExIoKueS5GE1EYezzhfE+G1Qm8m4n1ZHJRLdyoAwqPnKQ2N4lRwRJFI4ecqGrc03QbcQsVzwAWBY5UBpxM9vRePrWg5Y6vn7Q66uw/foTNVOyoSXLZ8vg4Dw4O3bzj3hMsue8frBpfPq0e766PN5XBpAMY9oOYrnitoKEtREyQ2bt31ngYtQZY1JT0mPQFISiKnBLMpsdVxJn05AsSrkjjcJympLMcl+0amj5TWqkkwOillOUFaUouIpuhmRjV3M7HEQJXYShZQqhB/fBNCrm3bPixWQ8AJJibzGBzOo+zPRbFjw2B922mXseDA7Y5z5CbBrHbUJDgALJzbAAA4cGj0pvf91ZnWnDpy1V2/vqdt76ExnNw5DN8fxs/vz6MauKHTR5GN0t5t5lMyJNYTjYcr0luOBUwg66570wyYybejAVn8G+Z+BtBTuJ4G6LH0TXUY52Xw8zhmReXjJIlf0ePEo3p/kUTNluLhUyuJVQk/hhKkpDuPPZaIKmbJ5VVkHUQa1U7kce6RxXwI4uP2ByxMli10NhTArDa0dZ9x0G1c9w8137/JdlccTTgCOMoAl62jtYSRkZHvvekvTqc5DF25dcsjbeec4qOtcRx1rof/+E0zasKJUUY0WpLwbosaSqUixVU7eLbE1k1gEms6VSHaGJWexCfAuIi8juGq18e/gJtngFiyAZO6yKe/kogf1TWRTEbElzCVTQISey/VUFoeWVzktWKlFYoSKu+5nAg8pCcUCHM5gXA9IE4gCIUQkRWF1PCfv83jMzfMRWs+j/NWuzhr/fEH2+ev/1S1GnyvUGx8MaB4dCmK2hoaGvDkEw/cMLez9InXrmkfzDEbbY0u3v3GMoqFSEVXlvVzIkBL3m2pFGVKrp04dDIpSJZiKfEzlaIpd6eYGGqbUrVUfOmHV4ZTB7NGSUzlUvNSEm28ugpbeJxkUBSTzhiUw3AU6RWxSDqPU1l8VhjLpFBKMD5B8L1b67F/sB7lioMynzPoBblP/PLOu28oFOtfLBi+eAAHgDPWvx7tDYM3ds7p+FB944Kx4XEP9z6Zw6TnAswGpRQOBXJUWVZESm5iSGxi8vBE4Yy349hnfSKEQDPph77mThY90bajq6T4OZIT1ckx66ZE+2mHRXpMik9Ly7LKmWHEtEgFM7ZsqGOz3PZJ/IpZVCirxITm9VRc+gFn4Suw4Pk2XNvCutUVNLgTWL5kwdjcefM/tL1/4sY3bbjwxYTgi0NR1FZXCHjOabh5ojyn9vCfj7/xW/814Po8D+ZYKDAChyQrC0vPJCOJ0piVMBypOSlJbIJ1KsUytlQqvDzxRc1c31vn4VOL9dkAXY8vyT5HukkS04Uk3UgojEJbNKuM4naQBWDlwqzxhCHKU4AkcSxxn7wQwnNlMCGQBBSG3TTk+EREtcYJAhoeK+ZcvO+NPnKljsq41/631Gm5ZcIbf0Fu+Nm0Fx3gc/veiQMHnw8aWvIPHm/vG3vTef+JG36x3c1bOTTY4e8LIsmiWUsgQZ+UONaUxymtI4b0nko6A9kSHMmGybVTwCfmPDBKt82yiSnGJ8qfvm0Cm6hgVkNlQTQuHp6rcHGi0Bc5ThCd3wsRW0MIUUyFnMRPTbmaSZxcEX1OGCMutyewa+jEysrFXW8f8q1b66xdwVv/5/tfbPi9uBRFtsamNtTV1e1b0tu7qqGp7R1nrOqZnFuooa0YoGAny6NIIDMCZQ1OJc5bAWKm1zLrlcW/FXoy1QRQwa7y9Kk4un7SYTah6JUKCY/BrA7NMh/GSiQUGkN0Th7zaaVfiyAEkNo3z9H5vbqqsqQn8XfiBBXPxtBoAc8PFkGdVZML57f9r0suvvQnosJeEnADL4EEBwDXIgAQfOBz/7b/bcvdH+VplzWywLl+2669DRt3A+MegcXClQBZFF+heHgNwAmFTqSlt6Y8mtYRoy8FblMeayBWmHgGLUlh+zDBbhpPNOmtvNTLSolNlFmQWEB0iR6OSsyFmVI8mmnq5CAIQwA060zscEqoDSFh1W9GAYtxWDZHucqwa38J9Y1LRuqqbR+48turflQ58BXkOj72UsAOwFGIJjyc9tg9t2HZuovx1gvmPtU9v2Vvqa1z/dbdg4WhsSGUazbyFkHeEnBYyMU1UEGX5FlBU2SGbTWaL11SGXFwlbofTwpqRBXGim2yjGBy3Ew6Rsb7TK+McdCdUimdAuF3BNFj23WFm6QFANT9hI5oTyuSvp40H/J47SYC2wqQcyqo+OPgtBGBu3ZgYKLnI8/sbPqPN5+/A/OXfeClhNwLsti+oLZ59zAotd/dv+O3X/rFb25p+/ZPbTTl82jKC9gslC5eAPgBiSVNHJNCk32tVMQUoNYBn3BHrY8qffF4omXVJ9fWF36Nx5IkYlA9JieCeo664JUaxaj2USX7PxkvlImmRxZKnUVWDkiuIe9ZsoapPC9ZzCCJQtTGaZGHXIs8FIKgVqNRTm4I7lKhikL+EG55uB0rll9y8Lyz130SqH2XkLYXDpojaC8JRclqfQsaIcTod3vnnkUmK/6VP7//wTZRnkBDjsK2gbJHUPYI/CB8SDOqSuHIc0kU5TPjBcCgMCTFs1XJpjZVwoW9CUHIGK5z9XRXuhl8g6QPaUM1JZOYlCaiIUS/dEIzoliWiKYQAs26IkREYIjk9tE4JHEqMg0OSEJkAQLBGcY9G5NVCzYLl/zOFdpx4klvOtjc/hefenq7+O7KRTaOVTtmAAcAQkrY1j9xQ+/ic2qXv7vhq7/9zb1NXnkQBZdiwhMY8gMMjzG4hKCgKKKm/TuTe5uPVSTvKRMhjPFpig0IZUXjVH/yIZkgn+1zUuPOGWZDaT0RyiSbwiRoBnAlfFvyZqGYB1VujhjsHASUC3Aa9Qn5Hwg4Vg2U1TBZqWHvoQLGJl3U5W04hVYU2k4beu3cUz5O6PgPCGl86YGltGMKcABYNK8I3/duanv9SYPl4f29dXlx9Y4tj9t9XZPYMTyI624rYXy8iBxLFppNeTehABcGmJHmtFofkCWMocaIY4oxWcePbpMKIjQQq1JctZzIJ1EsbSMTn1QU01I8vQ0gVioBESYWR9ZqqVxTIlDI+RgtT+Dff1PCrj0CizpqeN1ZJ/uFEv1EXfMZWwNeuMNmxxxexx7gAGDbDt+yZcvtF2+40Bl4fsvkkoXsuibrPlLon6A5msMwLwKERKbD0NOpCVJDAcqypJh9MPqnBawygGgHpztp5jZlsJU5DoZ0Jtl0RqMx0YmJo0Y5R9ISpWCQlNpEmVTSU5pIbwJKw3MsxsHhY+NuikMH8/z8M1eLts4lHzx+9dLv9/c/7/UsWnxUMXKk7SWxg8+mLV68GLY44M2b035Te0fPiiVLFnyO5edDgMBC6Mp3LMC1w3eLpsEhcajay3UrQzZHl50m8BO+TlLX0AzUhq1a+05HWcQrS0HFbnh5XH4XM2YldtdDCZWVY8zEhpTdnaAWUHg+g+cz+DWGIGAIOEWlStDX1YaFixZ/rrdn4YqGxpab/vz0npcNuIGXiQSXrW3OUgAoi9FvbUY9/dLe0ZOc16wc+8yjT/Yzi5SRtwlyTghgPwCqflTzA5HkypDk0vRlmsMAXbLr4M0oFZESmcaMOdKmeCWJcVyTxlDGGPxaOoqka53E1ENRFqPfkIxJPJ2xUqp8pqR/ASfwawR+jYFSgSAALOajWsuhuWVZ8NcXzP3n9Wet+9K8OU8G15+3/qWEy6zaywrgspHSZfiXf/thcPnfvvnz2/oHrH//yb0fffyRP7jwR2FbHIxSjExwjEyGALcZtIqyZj2U+LoqJlVpPeMXQvwoMG3T6mRQbCyx1J+pqQ6cWOISHZByXByCQqagN6YVRQF+AvZIqVTGAAQcIiqbDIBwMMZDGmIJjE3aGB63AXAU8xaKdQ0otq6sNs899ys9bufntzz1Ayw+7p3HDjAz/HUv27ZvYAx5+PBBr3x207a1t932C8qov9arDFuB8PHYtgD7DjloygsU3Yi6sPSP0rPjjQlAw79cVm5NOYNo2u6tVZZNOX2U0hFU7c+6hj4hqWEH1+zaWr96TAlnoEoyCBXJ7yJCuxaNwiBSFI8IWIzDsTkKOR+lYhn9g8BjGxtRnnQwp7Op1tbkPnTaGefxto6eh2oB+VTO5aBW07GGypTtZQ1wtd155y/BmFVfKU98Z3xk95sXND9NH35uH77xkzmoJzZa6wPkHMCiSdYJjwgljQDOqGGBoYmlJK6XgixnENGcPSpg41LJ0AEOAs35MxXAKTVNnmrYrwnQLCeQ7uQhCtjjJ4vi5JHgZpHDBgi9kQEPHxvMEsi7NbQ0VGHbQ/jyjwS271mIC07r5sct7/5hqVT3Xs/zx84//w3HGhKzai9LipLVLrjgDdjbv2uMWbkPjY/s3VJHvOMGRX6DRQfBA4qcQ1DMETAK+DWBcjXkiyCI06ukRJMSVrZ4Uz63U9xG2Vekt0bDletlxYxk0Ykp6VFEQ+JzoVxQtYUrZsHUtdRr8Oj7EbWybghykFDB9GsUVZ/CYuHE4EEFI1UPba0rQezuW1931ilPLeqe+/WJycpYT0/3sYbDrNsrBuAAMHfeQgA4JMRTnwU2dBUGdmHDeTs2PP3Hp+FgDKWCg1zOwshYgKHxAH5NwLZCyWZButEjyQqF36ph1qmWaK1qvwT1jEA+3GacLxMbiFHvZCqHkuaoUiIJZYHwsAx3WBjfsjhsi8NiFIMjNgZHGWyLw/cFSvWNWNC9Bn/T1Xfr3okTPuKxkZ3tHZ0v4b99dNorhqKYbeP2YdiWtfi557YeT2pjH965fcv6Qwe2oT43CmqV8Y3bCGxho6nAUXSBvEvgWASWhag0MBAIIZdm1CmAQiMkvVFjUUwqEpsSYQZjJXzcjEVhRixMHH5AE9utelyvzpXQEqbGpFAZ0pBolwEncbY8pQK2JUKO7dZQzNfQUF+BIJP41i2tCCoMi7sacdKaPizt67m3odH9ekPLoj8BtS2EtB/rv/yI2itKgqttZU8jAGwRQmwB8NQ994o5Lacu/9eg/NRiVO5i923y8dvH5qLODf9pRglsi8C2AEZJuE5pLeTp0rExXX3vxJBiROMp4JYtfiIg23Wumic1p5Q8X56rmEBF5IFMUtXUFTP1ryt5uwS2VwuzcBglADgsFp5hWQEa6ybwqyfGcf+mVvz1ua8Jznzt8i2uw9+3sPf0fQA2kxf8SDq27RULcNmiP2DzxNjQZs75BbUKmZfPL/vxxYfuKD22qVb0gwlYDJHkIsi5DDajqAUc3liAqheiyKIZpSeAzKAo1YISfocE1LLEgqzZnZl0nLqe4pBCcp2QHyOuvU0UXm02GVRFCAejoTWEAKjVLEyWw6A1xxJRJg6Ba1MQBLCdPCZF38SVn7h41Ia4pLd3QT9jdOcrHdgZt/qV34QIEMqvQw1/+NO20/Y8b/+fZ5/ZXNu767nmibHBeosJFHMM9UUGx+Z4YmsVu/cL1OcECi5BzgmlPKM66CglUSIGDSkAU6rFys+GzuVNesLiwpuJLiAL+atUBVAyauTnR30WizKdonfdtBkedyyOnMtRzNVQV/CwYx/BE5sKoISiVKRoqCPI5wg62xvGli1dMNg5b5G1f5C8J3BXPNy3oDTi1cBd+9UDi1e8BFcbCZd25s9s3TfU2NRzp89H+y656ofVp393zccefOjRd+zYscMv5vxlTfV+bkHr85gzZwBfuLEVBAx5JwSbxUIgQkRmRgEILiAiU0xcKVZROoVIqI6M3aA0DFSiJKEV2neFwbGp4o2U14yCnET0dOGG+VDWMOECUd3u0ExKiUAx76NUN4SfPmTj4AGCVb0NKJUKlYam4rMLFnbZy1aceFP/E+/98ryua92u+Q0VwUc5IQ3H+i886u1VBXDZlvfOAcL818ntO3bCsqyrmcWuPu3kFayxoe46h0321bGnzvB3TTLKCAJBEQRVWNRGzrVACODXOAIfCAKAMWl3jpw3lMBiBISEy4TVAgHUOAIeJmpQEqZQMyaSeBElxkMFd2y6lIAVkEu1oxYgUg6jiRelsBMgoiHhGC8g8H0SzxDXDmAxAdcVoE4JPb19wdq1i+5vbS5urvmTl1IaBLadw4ITvyvyDQsmj/X/9WK2VyXA1dbT3QUk8KpVJkfeC1JoYmLlFw9M3OzM7RgNelpKa9pK/EThjcBmVQgBDI8Dw+NhuedijsK2QsrBKIFFCWyLRsoaQaXKUQnCSSEEouMchFAwpuZUZiyTQiWARbS2DaJrAhVPXi9aq4hH684TAccWKOZqCDiw75CN/Yd8cA7M6yyivrEDbqH6B8LE46es7mPnn3mJ19fd/unxycpQa8urT0pP1149ZOsI28/uuBsA1ovAP9+m1UscVlk6PjGJP/xxMw6MTODxZz10lgK0NVoo5B24DkPOZci7BAUXsG2BkXGObXs8VDwOxyJwnXBCWIyAMRoVvw/3LYtENAhRgm4IbscGXJvDdQTKVYKtewRGxwPYFoHrWijkKPIOwCiHbfnoaPIxv7OMTf1FjI03oaGlB7aTQ0dL3aZ5nfkf5/PWr4TAvb3LzjzWt/iYtle9BJ+pvfHCswHg3tGRoXsBch8hfu/Bg4N8T/9evnRFW8+C3s5Pjj6/G/M7cvDK+7B99zAYddFUR1AqErQ21tA1dxSb9hLsOVjAvBYB20oqq8rcgSCQKzKEAFcVSWnPzjkcc1sr2LK/jD9us2ELC031BK7twWqyYDGgIhrRt6ADnS1lLOxpxbMDg1/CZHX7Ga9dS+vqm2jOtbcCuLO5+eUbH/JStv/2AJet1NAEAHfK/Z17nkc+5zZu27n3oSeftDCn1fW753f9/d6D7DxGbZQKAfbveRwtdQdRrPNh5XOoIg8QD5wHEJyj4gP1RQu2xXFouIacY6M+z+DaHAeHANuicIpAtQpAAI0lgrZmgt0jHgbKeTRYLroa63H2upPQ3OjAtoH+IXJXa877anNj1W5oW453vW3OvUHNG3YLHcf6Fr4s2/8H+BSta347AAwDuA0A/PJ2EIJnWwdZBwTjFvMxOrgJjj0IxiyA2piscv+cs069Arx8ESM1f2iUo62ZYV57GZt3BahUili8gKISVDG5E5jX4qKjWeDQEFBf59id7YWfO+zXV+Rcy7YdG5TaqK+rx/GrjkN9nQNCQRvHyQFCsP24RXOP9S16RbT/9hz8aLZ77nkAIKRjeOhgAyG+ODgYoKOFoXf+OJ7ezjEyVsLShcBwpYKN24HFnTl0tgjsPQg0lnJk3ryOESHEgRXHnXqsf8qrpv0/K5WKwZnsOLoAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjA6NTQ6MzErMDA6MDDyyuFbAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIwOjU0OjMxKzAwOjAwg5dZ5wAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 71822533
{'hecke_orbit_code': 243194379911565616, 'n': 1, 'trace_an': 4}
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id: 71822534
{'hecke_orbit_code': 243194379911565616, 'n': 2, 'trace_an': 0}
-
id: 71822535
{'hecke_orbit_code': 243194379911565616, 'n': 3, 'trace_an': 0}
-
id: 71822536
{'hecke_orbit_code': 243194379911565616, 'n': 4, 'trace_an': 0}
-
id: 71822537
{'hecke_orbit_code': 243194379911565616, 'n': 5, 'trace_an': 0}
-
id: 71822538
{'hecke_orbit_code': 243194379911565616, 'n': 6, 'trace_an': 0}
-
id: 71822539
{'hecke_orbit_code': 243194379911565616, 'n': 7, 'trace_an': 0}
-
id: 71822540
{'hecke_orbit_code': 243194379911565616, 'n': 8, 'trace_an': 0}
-
id: 71822541
{'hecke_orbit_code': 243194379911565616, 'n': 9, 'trace_an': 2}
-
id: 71822542
{'hecke_orbit_code': 243194379911565616, 'n': 10, 'trace_an': 0}
-
id: 71822543
{'hecke_orbit_code': 243194379911565616, 'n': 11, 'trace_an': 4}
-
id: 71822544
{'hecke_orbit_code': 243194379911565616, 'n': 12, 'trace_an': 0}
-
id: 71822545
{'hecke_orbit_code': 243194379911565616, 'n': 13, 'trace_an': 0}
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id: 71822546
{'hecke_orbit_code': 243194379911565616, 'n': 14, 'trace_an': 0}
-
id: 71822547
{'hecke_orbit_code': 243194379911565616, 'n': 15, 'trace_an': 0}
-
id: 71822548
{'hecke_orbit_code': 243194379911565616, 'n': 16, 'trace_an': 0}
-
id: 71822549
{'hecke_orbit_code': 243194379911565616, 'n': 17, 'trace_an': 0}
-
id: 71822550
{'hecke_orbit_code': 243194379911565616, 'n': 18, 'trace_an': 0}
-
id: 71822551
{'hecke_orbit_code': 243194379911565616, 'n': 19, 'trace_an': -16}
-
id: 71822552
{'hecke_orbit_code': 243194379911565616, 'n': 20, 'trace_an': 0}
-
id: 71822553
{'hecke_orbit_code': 243194379911565616, 'n': 21, 'trace_an': 12}
-
id: 71822554
{'hecke_orbit_code': 243194379911565616, 'n': 22, 'trace_an': 0}
-
id: 71822555
{'hecke_orbit_code': 243194379911565616, 'n': 23, 'trace_an': 0}
-
id: 71822556
{'hecke_orbit_code': 243194379911565616, 'n': 24, 'trace_an': 0}
-
id: 71822557
{'hecke_orbit_code': 243194379911565616, 'n': 25, 'trace_an': 0}
-
id: 71822558
{'hecke_orbit_code': 243194379911565616, 'n': 26, 'trace_an': 0}
-
id: 71822559
{'hecke_orbit_code': 243194379911565616, 'n': 27, 'trace_an': 0}
-
id: 71822560
{'hecke_orbit_code': 243194379911565616, 'n': 28, 'trace_an': 0}
-
id: 71822561
{'hecke_orbit_code': 243194379911565616, 'n': 29, 'trace_an': 12}
-
id: 71822562
{'hecke_orbit_code': 243194379911565616, 'n': 30, 'trace_an': 0}
-
id: 71822563
{'hecke_orbit_code': 243194379911565616, 'n': 31, 'trace_an': -2}
-
id: 71822564
{'hecke_orbit_code': 243194379911565616, 'n': 32, 'trace_an': 0}
-
id: 71822565
{'hecke_orbit_code': 243194379911565616, 'n': 33, 'trace_an': 0}
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