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{'Nk2': 19200, 'analytic_conductor': 70.80229200688873, '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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'cm_discs': [], '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, [-4, 1]], [11, [72, 1]]], 'hecke_orbit': 11, 'hecke_orbit_code': 45035996340815024, 'hecke_ring_generator_nbound': 1, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '1200.4.a.k', 'level': 1200, '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, 3, 5], 'level_radical': 30, 'minimal_twist': '120.4.a.a', 'nf_label': '1.1.1.1', 'prim_orbit_index': 1, 'qexp_display': 'q-3q^{3}+4q^{7}+9q^{9}-72q^{11}+6q^{13}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '1200.4.a', 'trace_display': [0, -3, 0, 4], 'trace_hash': 2141771591083795177, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.977', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': 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mf_newspaces • Show schema
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{'ALdims': [8, 7, 5, 9, 7, 7, 7, 7], 'Nk2': 19200, 'analytic_conductor': 70.80229200688873, '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': [1200, 1, [751, 901, 401, 577], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 684, 'dim': 57, 'eis_dim': 72, 'eis_new_dim': 0, 'hecke_cutter_primes': [7, 11], 'hecke_orbit_code': 67110064, '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, 2, 2, 2, 2, 2, 2, 2, 2, 2, 2], 'label': '1200.4.a', 'level': 1200, '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, 3, 5], 'level_radical': 30, 'mf_dim': 756, 'mf_new_dim': 57, 'num_forms': 47, 'plus_dim': 31, 'prim_orbit_index': 1, 'relative_dim': 57, 'sturm_bound': 960, 'trace_bound': 11, 'trace_display': [0, -3, 0, 32], 'traces': [57, 0, -3, 0, 0, 0, 32, 0, 513, 0, -20, 0, 46, 0, 0, 0, 26, 0, 192, 0, 0, 0, -80, 0, 0, 0, -27, 0, -58, 0, -84, 0, 12, 0, 0, 0, -74, 0, 54, 0, -414, 0, -836, 0, 0, 0, -168, 0, 2713, 0, 678, 0, 1054, 0, 0, 0, -84, 0, -628, 0, 734, 0, 288, 0, 0, 0, 1140, 0, 264, 0, -1512, 0, 970, 0, 0, 0, 768, 0, -880, 0, 4617, 0, -3644, 0, 0, 0, -162, 0, 1426, 0, 2468, 0, -456, 0, 0, 0, 802, 0, -180, 0, 2150, 0, 3808, 0, 0, 0, 3468, 0, 3142, 0, -30, 0, -2470, 0, 0, 0, 414, 0, 2392, 0, 6309, 0, -990, 0, 0, 0, -1448, 0, 36, 0, 8636, 0, 2336, 0, 0, 0, -3886, 0, 6140, 0, -624, 0, 11496, 0, 0, 0, -219, 0, 3606, 0, -10132, 0, 234, 0, 0, 0, 4526, 0, -102, 0, 3424, 0, -10828, 0, 0, 0, -3680, 0, 12391, 0, 1728, 0, -1450, 0, 0, 0, 540, 0, 9668, 0, -5538, 0, 4062, 0, 0, 0, 3704, 0, 0, 0, -3912, 0, -14, 0, 0, 0, 366, 0, 9740, 0, -996, 0, -18240, 0, 0, 0, -720, 0, -1744, 0, 21136, 0, -888, 0, 0, 0, -1056, 0, 13110, 0, -6764, 0, 17160, 0, 0, 0, 15348, 0, 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0, -108729, 0, 97312, 0, 60996, 0, 7218, 0, 0, 0, 143902, 0, -95214, 0, 9050, 0, 120868, 0, 0, 0, -202160, 0, 116256, 0, -1620, 0, -69856, 0, 0, 0, 32160, 0, -149256, 0, -44124, 0, -77184, 0, 0, 0, -73780, 0, 19350, 0, -27512, 0, -67792, 0, 0, 0, -78272, 0, -6564, 0, 60, 0, -33936, 0, 0, 0, 34272, 0, -19278, 0, -38484, 0, 53064, 0, 0, 0, -66662, 0, 127746, 0, -157698, 0, -12704, 0, 0, 0, 217940, 0, 98804, 0, -74766, 0, 39330, 0, 0, 0, 23976, 0, 258968, 0, 126593, 0, 31212, 0, 0, 0, 129104, 0, 18888, 0, 83340, 0, -7456, 0, 0, 0, 140890, 0, 256328, 0, 28278, 0, 128368, 0, 0, 0, -170976, 0, -73520, 0, 166428, 0, -12492, 0, 0, 0, -148410, 0, -270, 0], 'weight': 4, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47135884
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 45035996340815024, 'target_is_minimal': False, 'target_label': '1200.4.a.k.1.1', 'target_level': 1200, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 4}
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id: 47135885
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968184920, 'target_is_minimal': False, 'target_label': '600.4.a.l.1.1', 'target_level': 600, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 47135886
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343664493744, 'target_is_minimal': False, 'target_label': '1200.4.f.a.49.2', 'target_level': 1200, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 4}
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id: 47135887
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343664493744, 'target_is_minimal': False, 'target_label': '1200.4.f.a.49.1', 'target_level': 1200, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 47135888
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197458702576, 'target_is_minimal': False, 'target_label': '240.4.a.h.1.1', 'target_level': 240, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 4}
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id: 47135889
{'conductor': 12, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795222927112, 'target_is_minimal': False, 'target_label': '1800.4.a.n.1.1', 'target_level': 1800, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '12.11', 'twisting_conrey_index': 11, 'weight': 4}
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id: 47135890
{'conductor': 15, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 94575592241890000, 'target_is_minimal': False, 'target_label': '720.4.a.v.1.1', 'target_level': 720, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '15.14', 'twisting_conrey_index': 14, 'weight': 4}
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id: 47135891
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36029140683457112, 'target_is_minimal': False, 'target_label': '600.4.f.i.49.2', 'target_level': 600, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '20.3', 'twisting_conrey_index': 3, 'weight': 4}
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id: 47135892
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 49, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 36029140683457112, 'target_is_minimal': False, 'target_label': '600.4.f.i.49.1', 'target_level': 600, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 4}
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id: 47135893
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67108984, 'target_is_minimal': True, 'target_label': '120.4.a.a.1.1', 'target_level': 120, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 47135894
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588515595200, 'target_is_minimal': False, 'target_label': '960.4.a.bf.1.1', 'target_level': 960, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 4}
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id: 47135895
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 63050394850296768, 'target_is_minimal': False, 'target_label': '960.4.a.o.1.1', 'target_level': 960, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 4}
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id: 47135896
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 343664494344, 'target_is_minimal': False, 'target_label': '1800.4.f.a.649.2', 'target_level': 1800, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '60.23', 'twisting_conrey_index': 23, 'weight': 4}
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id: 47135897
{'conductor': 60, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 649, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 343664494344, 'target_is_minimal': False, 'target_label': '1800.4.f.a.649.1', 'target_level': 1800, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '60.47', 'twisting_conrey_index': 47, 'weight': 4}
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id: 47135898
{'conductor': 60, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 1, 'source_embedding_index': 1, 'source_hecke_orbit_code': 45035996340815024, 'source_is_minimal': False, 'source_label': '1200.4.a.k.1.1', 'source_level': 1200, 'target_conrey_index': 1, 'target_dim': 1, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595968184680, 'target_is_minimal': False, 'target_label': '360.4.a.l.1.1', 'target_level': 360, 'twist_class_label': '120.4.a.a.1.1', 'twist_class_level': 120, 'twisting_char_label': '60.59', 'twisting_conrey_index': 59, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1763850
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 2}
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id: 1763851
{'charpoly_factorization': [[[3, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 3}
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id: 1763852
{'charpoly_factorization': [[[0, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 5}
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id: 1763853
{'charpoly_factorization': [[[-4, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 7}
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id: 1763854
{'charpoly_factorization': [[[72, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 11}
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id: 1763855
{'charpoly_factorization': [[[-6, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 13}
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id: 1763856
{'charpoly_factorization': [[[38, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 17}
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id: 1763857
{'charpoly_factorization': [[[52, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 19}
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id: 1763858
{'charpoly_factorization': [[[-152, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 23}
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id: 1763859
{'charpoly_factorization': [[[78, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 29}
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id: 1763860
{'charpoly_factorization': [[[120, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 31}
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id: 1763861
{'charpoly_factorization': [[[-150, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 37}
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id: 1763862
{'charpoly_factorization': [[[-362, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 41}
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id: 1763863
{'charpoly_factorization': [[[484, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 43}
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id: 1763864
{'charpoly_factorization': [[[-280, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 47}
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id: 1763865
{'charpoly_factorization': [[[-670, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 53}
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id: 1763866
{'charpoly_factorization': [[[696, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 59}
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id: 1763867
{'charpoly_factorization': [[[-222, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 61}
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id: 1763868
{'charpoly_factorization': [[[4, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 67}
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id: 1763869
{'charpoly_factorization': [[[96, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 71}
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id: 1763870
{'charpoly_factorization': [[[178, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 73}
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id: 1763871
{'charpoly_factorization': [[[-632, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 79}
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id: 1763872
{'charpoly_factorization': [[[612, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 83}
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id: 1763873
{'charpoly_factorization': [[[-994, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 89}
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id: 1763874
{'charpoly_factorization': [[[1634, 1], 1]], 'hecke_orbit_code': 45035996340815024, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 11, 'label': '1200.4.a.k', 'level': 1200, 'portrait': 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Ph+Sque0ul7nFqCUHtoY9i/LaLbTzm/4jDVdNm7LWHX5h6NeoiQhigStPs1ltseU3WBK13OL3kcPSc4uZBwejXBr/V5/c093noL+HKSQ6danF5UzC+nLK5acB9dMdx09TK//L51tk1Ncur8NPOrdZbXHZbXJevthHY3Ya2TcG415XzH5yfeUdc//e7LP75p6/RPJ/2w485+77caEn+r299pgC+tdtBRilDi/WfPvXjHNudD8uEX1+9Yb59zvuf2BsfPbWFprcHKhs9q22GtA2vtlLV2zOpGysIGHFsVzM1u8K9/aJWXX17nzOI055canF9xWFw1LKwknF1OWeomTE4PecW1PW7dD56s4SufxbWA+RWHhTVBP4Qk0QSephGkTE0kaODUQkKnB7s3uzRqIcYIEB69gWbXlpDVDQeMlSIbPQgTMBjW2hHbN7l0BwqhDEKHtAKXXVuHbPQFp847pNphpiVpBgLfhSQR9EPJwppkftWwuJ7g+0NwE267qscdVwvmWjVW11ucWfQ5vwKLKwmLawnn1uDYquGmq1b4Nz+0zpbJFqcXpllYrbG87rHSlqxtpKx3Yta7KWsdzXxbcXQh4TtvO8HExLbk4LmdD//uL7/qudlg/me37fsHxphEK3fyWw2Vl7z9nQ0yf/13Ps2mmRZnzq/86oc/fs8//9w99/uvunaBwOtw+1UG14uZaAyIYodUS7QBYxyMUVhjBYRIEcJwfHWKf/1hwa/++CI3XBLRrE3TqDVp1X2adZfJlmJxVbGw7vC1hwK+8EDCZTv77N+bsLY+4MqdId/3Jk2cKASGv344YKkdUEtDTs4rer0m112astRJOHDI5fKdkiPn4bYroN2FSDv4TsRsAw6fq1GvxfgqYaIp2OjCLVd2OXbW5/LdmhPnQ144Zn+fu3PIsUXDRDNkrRPxua/VMUKRpil3Xt/n9hsMCxsuN+wbsm+bSxK36A9qHDgesLAiWF5PWVpPWFzTnF4TLPYirr98lf/tB3rMtaY4NT/J4mqN5Q2X1bZkvZ3S7sa0eyntnmG9L1geCBKdsNGTXLbjhLPnhtVXivaxm4x35+viuP9Jv7bpl04d/Ai79//AtxoyF739nWTwJx76S268bbP6D//l9P927tzCv3jquRPq+GLE6hDiMGb/3hX+wz9c5YZ9deZXp1jdaLDWDqxU6Tisd2G9nbLeSVjrJqy04cy6wKkNuf3qNd776ohLNjXY6LVYWquxvOax0hastTWrbc16V9MZaDqhoT9MmGnF7NqsAYHvGs4uuQjps3uT4pJthm2b+iyuhzxzpMmNlxnqtXWePzpNsxERRS4zU5rBEK7cNeQjd09yxc6EMDTMTkjidEAz8Hnh5JCa2+D6yxOePR6xuOqxfcbnkq2wa0uEUjFnV8BzDUIYdm9OmGpKugOfXt+l03dZ6yjWNmC1rVlrp6y0UxbasDpM2bW9x3vvXOH2/Q6B22J+pcXKesDKhsNqR7DR1mx0LXNv9AyrXZjvKhY3Em7ZP88H/uEyV+326fTrrLcbrLRnUcHetDkx86s/+v6b/83//O7D6Y/90Du/1dC54PZ3CuCd1adxvaC2vnJ615EjJ97z7IGVf/fwE2dY6xhWurDSEyz1JSv9mJv2LfLvf2aV6/bWWVqfZHWjwXonYK3jst5xWO9Au6vZ6CasdxPWOobFtuB8z4Do8Y5XtnnLyzV7twZEUZ31dsBGz6PdVaz3BN2+YBgaosSQpqCkwXeh5hsmW4ZN0zGOO+TYfMRzR3100uBNt0Q47gZPHJhgz1b44qMJr7zGZ6k9IHAUSRozPQVJ7OK4CaurdV5xQ4cvPtTkkq3w+JEQlzpvfLkmEQOeO5Zy4myAIz02TzlMNQQ1X+B5AiUg0RDFhmEE3b5ho6fp9jUbfc1qzzBIU3bv6POWW9u8444IdJPVjQmW1mqs5mTQho1uSruXsJGBe61nwb3cSbjp8kU+8DNLXLMnYLUzQbtbZ61dY3nd5/yyZJBuIVUz/3LvFVf+xWX7dp8e9AeDV99y5bcaSsXt7wzA73/0IMrf4iXdF3+0s3bwd04fPyAWlrVcXE1YbSesdzUbPVgfCJYGksVuxMsvW+bXf3KVGy4NWNnIQe6z0fVY7zpsdAXtrqHdS9noJrR7mvWeYakrmG9rpib7fMdNXW7bn7B7s6JVc+l0A3xXAoookWgt0Ab6Q0BopppDjpwzaBNx1+MNwn6NS7d73H5tn1hvcO+Tk1x/mcuRhR7t9Ra3Xtvna0/4bJ42HDhl+Nm3dzhw0mfztOSrTypuv1Kx1u9w/Mw0118ece9zA5Kwzm1XeezbOWSQ9PjKEwpSwbGzDq26gyOgP5BoI0i1IU4AqXE8TbtnaDRjdm4NuePKPt9xY8JMI2BxbYLVjRrrHXts1juCdg/a3YR2L7GypG9Y60sWuoKVbsItVyzxqz+5wnV7fVY2Jtjo1ul0A9a7Hmttl+UN60gNU6Vvu/Vl5vabLv1Hl+/f88fD9lpUm7z6Ww0p4O8IwHuDWMbR4G13f/0Llx4/G37g2acfczdNebiuottP6PQSOv1MNgwE7Qzk8+2E265c4v0/ucyN+zw2OhMsrzdp9wI2uh4bPYd2V9HuQ7dn6PQTOr2U3kDT7huWe4LlHsRpyHWXDdgyndLrG958a8ieLZoklTjSEMVwzzMBp5cCtk4lPH8sAF1n/w7FDVdo/KDPE0f6LK80uHpPg9bkOg8963LzZQGr/Q3W11ts2WJ49IDiB17b47EDDjs2uaz02qyvTXPDlX0eej5lujbJ1Zf2WGq3efTFSWpOg5uuMFy+awiyxzMnBJumYxaXY+59xmUYK6SEVBv2bI34jlsjuj3FtinNDZdBFNVZa9dZa/ts9Fw6fUW7J+n0oNNP6fRSuv2UTl+z0TesDSTnOoL2IOT2y5f5Nz+xzk2X2Yuj06vR6fl0+h7tnsNGN/tdfZAiZnZSc+stN8bzq97PvfnNbzlaq9c+J4Svv9XY+pYHmf1+SBxHP/TIY0/85srCsemzJ1bZPO3jugptDI4jCXxFqg0GgcAghUFJg5IOjx3ezC/+ocPbb1/je1+7xiXbIxZWW/hejZrvUfddGjWHbk3SHLhMNBz6w5TeIGVzqBmEhu7QZ2054OwZQ5Rozi0k+L4BBJ4yOFLQHygELknf4WV7BPu2GXZt7xOmXb70mOLg0SnecKPPDVeu8ydfMniizp7tfZ59SLF9UjHb6hOoGlHsstSFRuCwY7Pg6YMRN1xe49XXr/Chzw/w3Cavv8Xg+n2+/mjEFx9p8OKJGnu31dmzNWVuKuKS2Zhr9qQopXGUAQx132du0ieKXbp9j+ePuPSGDv2BojeU9AbQGxp6ffvZu4OU3sDQGRg2BrDcVyyuG+oTbf7xm5b5nttDrtvbYH6lRbtXo9v36PRdugOH7kAxiKRdOTCk2mW1bfjaPc+6sZn4zb17Zteu2H/bPx/2+x8K6vX/cQGeJh0g/on1hbvff/bog9Np2Gf3Fo9hJEhSSFIBRmK0wRibdBXoCsBTPCl59sgcTx1ucOT8Em+/o8cdVw2ZbLZYa9dpdAJaA49e356Y3lAyGDr0Q4dhaBhGmig2xLEhSe09SjyMBqkEriMIPMFkUzDVhC2zmh2b+8xOtfnyE3DfUy5ST/CGG11etr/LAy/GRMMWt79M0B4MWFptcNvlmtnJPjXHZ5goljsxSgtedrlDvRny5KGAV90wwa3XdXnykAIzwY1Xefz4W9f42tMRX32swYHTAbvmFFuma0w160w0oeaD6xiUBG3gwAlBmgriRBAlEMbYzximDELNMNT0h5p+qOkNoBPCck+y1IVQD3nd9Wu87Y423/96TZK0WFhp0OkFdAcevYFLb6DsMRxIBkMYRoYo1iSJIdWGQZjS7Z3jgx/5yvR1t5j/4z1ve7Wz3u7/4dTEtw7k3zKAG7MARD9+/sSD718/97lNl2xOWe806A5SBkNJGAvCWCClQAgFQiAESClQUqOUwVEGV2lqrmClX+Njd+/g6091eOU1G7zvdRtcc0mPmck6qxt1ugOf/sDNgK3sPRKEsSROBElil/rcYlTS4DgQeFCvaaabMds39UnoceRczMfvDTh+psGkX+Pmqxxuu7bDo4fb3PVwi1suC9i1tc9H7hYo4dNqxmz0QrQBJWCu1afT9dBJjbe9comPfbHOvsWAt9zSJ4pXufe5GeI04OVXbeItN3e4bGebrz/Z59kzdZ454bFjWjLdEtR9gefai1AKEMKgDWhtiJPsYo0NYWwv5GEEgwi6Q8F6KFjrgnCGXH/FBu/7jg1eeVXKTKvGeqdOu1uj2/fpDV16g3Il6IcW3P3QEIaaME6JYk0UaQaRoT9UHHu2y0OHv74pTcX7X3fnHeb54+t/dM3eqf8xAP6lL/wu/eFlfOFzj/7w8fnlD+yavm/2qm3rTDYnMCZEKRdXOQxCiaMkSgqkEAghUdJByhQlRbY8a1xl8B1DzRGsDxWr7Sk+cU+DR57vcft1G7zv9Rtcv6/NTFojSXz6w4DewGUQOkSxIk4kSSpJtUCbUgL5nqYeJPhehOeGnFsN+fzjkqNnPU6cnUJpn31bPa68RHHj/g7KX+a5Y022T9a5ei9smVtnrdPimu2SRBu+/JhP2JdMNhLe+PIhn7s35vRCkysudZnfGPLCcZedm6e47pJlHni2y0MvCMLIY/8l0+zf6bN/R5dj82scPQePHaxz5HiDuiPwHUnDNwQuSGmDKmPsxZqkECUQpYJeKOgMBZ0YIp2gzZCbLuvwvu/o8MprUrZO+wyHE6y2A7o9n97Qoz9w6A1VVqwm6A8lw9D2jQ6jlGGoieKUYWQvoEFo6A2hFysW1jb4xkN/venanac/0BtsSx6+92t/8vypU/z4+3707y/A7/v6X/BX9/wlr79Ffv+Bowv/6Y/+emHy+9+wwK1XpIBHmtozJIVBKQelDCoDuVICR6nsUeOoFNcReI7Gcw2+a6h7KZOBoBu6rHem+NR9Le5+ZsjmqT7vubPN/p1DhoMeV19i2LlFEcYuaapItcTk4JYa10k5tWg4sSDYGGg++0CdcytTmMhlKlBsm3HYvcVh73a4el8HLVf4/c81WFub4Jb9Dlfva/P1ZwQicdk0JWnUE/qxhzQSjEQ5Hu2hYHFNcJWpc+eNXR58ssa2WY9brp7mx966wh9/sctjhxr0hi6rG00u2Vbjiq19Xn55l3e+qsv5tTU++4DPat/n1LzLuXMerhJIKREItDGkGmJtSBPN1EzMtVf1CcOY/TtD3nVnyKYJxXTTJ44D5pcD+gOPfmhXuUEBbMkgFAxCwTDErgRhShhpwkhnK4NhGBn6EXQGgrWhoJto5honUYPF2SMnrv5P9Yk9sai98Ocf/NDH+bEfee/fP4D/m//wcV71upeLr3xx8O6zZ8//wce+cq7+zJGE73+9ZckkGBIlCgMIQaaxFUoplJS2bFQJnPzREbhOiucIPFcTuIZabKhHhokgZaom6EeSbtTgxNkGv/7n06ATRJJw47V9LtkSkSSgjcYYm8SRQiCVwHE9Dp32OHA0oBE4ND3JbF0wNyPZNO2wbU6xe2vKFbs3SMUq//nTLU6dnuSWy13270kZJF0efs5nsuYyM2GYbEbUa1YKaS1pDxVrPcNqO6Xdq/GKqzd4/ECfg6cVk62Al181yU++bZXf/gw8ebRBb2DY6DosrrXYMltn09SQ3TND/td392nV2zx7Ag6dkbiuQSmDEBow9j8DSQJ7tqTcfk1CGrvEiY8xdYaRy8KKxyC0K9owUoV8G0SCYSgYRpJBCGFkWTuMNGGoGcY6e80wjA3DELqRoB0KNiKBjmMCb8j1+3usdQ5PPnc6+IOZ2WuTH//huU+8/tY/M3uu+sG/PwA/+fyfs/vqurpq1/3vOHby1J+84oong3/2Hkk60LTcIZ6TkvohcWzfjsCgpJsxuMFRCscxuEriOlZzeq4idCVhpPGjlDA21GJNGGuiyNBKIIw1YQJRIhjGkjD1idOAg0cbPHMQUmOw0Lba2JXgKVvz0fTh6q3QqsFEQzLVVMxMOmyahl1bQrbObRCbNf7zpyc4dnyCG/Yq9u6Q7NuxzjdeSFhcneDGSyRTLU3gDfClj1GCJJUIY0jSiPVewOKqyw37a7zs8i4PPBmweUpQD5rccLnmH79jlf/0Gc0L55ps9DQbXcXyusPsZIOpVo2p1gStesxcI2b3DRG+m+A6CUqlSGGDCYO9qOJYsbTsECeKOFFEsSKMs8dIEsaSMJIMI0kYCRugRoIwMhbUsWXsKAd2bDIGh2Es6EfQDQXrsaQXa9w0ppekPH4q4nc+K3ni6PH6z70v+ZNPfRL90W9c8ulf/c1Ppv/in7/r2x/g//a3Psavf6yhbrli8V3X7Dzxoc3u0WDnlh57dnbpR5Jts1ZuBF5I4isQFnBS5U6JwVUG11G4jsGNJJ4r7ElwBaGniGIL9Dg2RElqXZGkck8hSQ1pqkk1Vm9rCnDbFQMcCa4LviMIfEHdlzTqiom6ZGpCsGk6YfeWPs3GBp9+MOLe56bZWGlx7S7F7q0ul+0ckooNvvxYnYbrMDelaNaHPHcMXjzucM1OQz9UXHdZzLX7DAvzKcvrHoNhnTfd3OX+ZwccOado1CS+1+KavZp/88Or3PPCgM/dM8tqx7B7U8p622GypZhouDTrLo2aIfA1vqfxnRRHWaklpT0HxmATVlqQaEmSCpJEECeSKBHEsQ3qowSiWBDFhiiiDCArxBHG+T1zaWJhA9dYsBFL2pFBxyGpjjh8XPF7f+Fx1+MxWmr+6NOng5uvNn/2028Lf+QNr2598off8qF011U/8u0N8H/43UO5uNb73g9+Zv6/vHD4heBV1w358mMpTxysc/czPrOtlFPne7zntQNaLYPs2SVWqdQGkU6K5zi4sYPvKIauZZrQlUSeIMrcFhswQhRL6yAkpe2XpJo0te5CajKnpCjIEkgJSlrZ4zkC35MEvqRRE7TqhsmmZvN0yNxUl8Rs8In7JX/8xRk2BQHX7hLs2uqyZ5tm99Z1Pv2wYW0tYP8WxVQLmvWYxZOSpXUf7xIIY8HchGRyEo6cMKx3NAsrAZftCXjtjV0+f1/ATBN8z0PJSa7ZJ/iptyzhyiX++oEpXjwXsLkTs2kyYaKhaNYU9Zqk5jv4HvguOI51mKQAKSogx17YqYY0zazYRBAnEKeGKIE4Ti0pxJoof4x1ZjvmrowF9yARDGORgVvQizXJMGTCb/Pe71jjHa/uMdcwXHXJAg8dGNDu+2ydnA+S4Y1/8Ku/13Lag+ZHsTzz7Qnw//B7n+FP70p/uNN+/t8//Mx869kz2/jMwx2GXc2pMw64GpKE+5+pM7++zs++s89kK8H363R6KY6T4jquvUcpkevgRVaaRLFNpVvGEZaJMlZKEohTSFPrJGhtAy6tTd7DmYHbAtwGrgLXsQAJfKgHmmYtYbKZMDc5YHZqgwcPRvzZXTUOnZhkz4TLvi2wY4vHjs1wxa4O/aTDowda1JTL3JRisgmTzZCpiQTPcxDCXlyD0GOtE7PRN7R7CUvrHru2NLl1/xJ3Pdbn0LkWdT/GVR5CTLBvu+IHX7/CTVcs8Wd3NXn0+UlWew6bWgmT9YR6IKkFCt8V+K7EdW2sohSZfWhRbrA9rFpTAD1Jdba6ZdZioklSC+4khigx5T22rswwA3Y/FnQTQTeBwSDBJANm6h3+0TvX+F9/oEerIdGR4tZrIo6eWafd9dgy3eSZI0dae2bD//za26/z/vn3/cUfb9v3nm8/gPe6faSSP/H7H/rk+//6a/Mz3T7M1QTLS1OEqcGfMSTakOqEjSjg33/M48DRDb7rVT1efX2XzbMR3W6NQejhuR6+5xJGDr5n7b0c4HEsiRK77MZJ5mmnZNYfGXPn5bQZuG2SMmNucJRNmHiuIfA0tSChGSRMtUK2znZYbPf5nc+6fPnxadbWG1w6J9i1SbB9k8eOTYJLtg1xvA0+dq/D8TMNLt8smWpKJhopUoacWzb4jkQKMEYQxQ67N3V4jJROX7HeMSyu1bh8R8A772zzya97nFz0cZ0YIVy0aRAnkhsvWWf393X48pN9PvLlaZ442WD7lGC2kdIIUgJP4LsCz7WxiqOwgbMURU2GwV5k2mCdltQCPgd5klpJZ8EOUWprXaI8eZQIBgl0E0k3hkGsSfshO2Y7vPqGDb771T3efFOKK2usr9tWwTRVtAJF4LhsdH22z2mavbMz5xeu/MBV1/8D1d7o/uHEZPPbB+C93gpSJj82f+qr7++tvrBpS0MQCMMw1tRcY5e2BIapZJj6DJVLO/L42DcC7nm2yw37u3zf6/t85y1tZic8+sOAQejhuy5R4hLFThEoJYkiTiVJIolTQZJI0lSQalFqbS0oVImxzC0FRRDrKo3nanwvpeYnNGshs5M9BvGArz9n+Pg3Jnj0+UmmPJdrthu2Tks2z3hsm5Ps2Byxd/s6z54c8Nn755hQDnMTglZD0KrHtPspX3w4oOkZhLDAGoQOb7s95AuP2JqYdk+ztO6wY1OTt9/R49GDXQ4c8Wj4CUoKC3JdZxhZrf+Dr21z+dYlPnZPh4denOT0eo0tLcFEYKh7msDReC44SqCkvZAtk0NefqQzqaZ1ucIlGdAtQUCcCuI0A3YqGCaCfiLophBGmiSKaNR6vP0N63zf6zvccEXK5imH4bBJp+sSJy5J6hAnDnFsbdkwdghDh9W2x9EXD206vPi197/ru16rN9prH5ycmP67DXBjljl1SiKE90Nfu/vh3/jyXffPrK31aNYchLDZLy82+ImVFGFiGKaCQSroK4+h53C243P+kTqPPNfnk9d0edfr+rzx9g2mJz2i0CdMXKLYzQ6aBXqSKpI0S9ikJcC1yZhblzVlQpgsqLR1HI6j8dwU34up+RHN2oCUAV97UvLnd0/y/IkJROyzZ8qwddIwO6mYm/bYMivZNheza0uHM8tdfvdzDZKwxo4dgsmmQ6sBrXqMcCM6gwaTTYMQAmMgTiTTviLRCd3Yo9tPWe8ozi3XuGpvk5/+rg0+8FGfU8sNHBVnF4ZDkgQMI8mWGZ8bL+1w7d4eL5w6x8e/UeOuJyY5367R8BVNDxquwXMMrgJH2nS+EKPVdRow2l50qRakxpZHpNqCO0ptkmiQCgYpDBJDkiToOGQmGPCm123wntd1eOU1CZM1hyixZcdR7JIkGbAzIopihzBWhJGTjfBwmPA3SNfu23Tgufpv7Nl3S9JdW/jTxZ7Pvp1TfzcBniRddu+ufff8qUd+e/HUva00TnEdH9Bok9lxyuDE9sC7CrwE/NRQyw+k8ugnDkthjb9+tMG9L/R5+Vd7/JN/0OXKXR02TSpadYco9oiS/EBakKc5wLVEG4kxVhKUHT4gRZ7m1zhOgu8luCqiM4hZ7sT8x08HnFia4skDkxjtMVMTbJo1zE4IZlqKmUmXzTOSLTMJ2+f6zEyu8+WnNE+8OMm1OwRTTUmzLmnVNY1ahHBDfN/BsdUGNsuYSgahw2AYk2hBd6Dp9gxrHZeF1Ra3XdHj1qs2+NhXA2prCkfGFpDGIUk9olgyCF1mJwNu2tfjpkt7PPbq85xalvzZXZMsbdQ5u+rjKUnDFXi5DJM28CyIPJcqWCZPjCDREGtBmMIwgUgbSBNIYqQK2TY14Nrd9nzcfGVKq+aQJA3aXZ8wtqxdAnvclpTWYw/tAFNtfM7Pxzz2ka/P3Hw7v/3qV9yw3uv3P/vfEpP/zQD+/IsncJw96ht3//algX6utWUyYcemOZbWE3qDhDxYLnWvBbmnwEshSCBIDQ0tGChJ3/EZpC6rUY27npjgwRcHNPyQH3lzmx0zCXu2Dbjt6i6OUDTrDkJYuWKzkrZW2pgKc2MQ0qCE9cwNCciEF05IHj/o8PlHm7xwukmU1Gk6irmaYbphmKob64O3HKYnHGYmBVumE7bNDdg6t869z4f8/uc3sXXSYa4FrYai1RA06wk1P+TBw4ph5OA2LKiMEUSJJHAU118+4JHnJm3h0yBlo+OysuGzuDLFT79lkbMrqzzy9ByuBESMBpLEIYpdwkjSGzhMNQMmWw1uvbzPq6/t832vWebgGc0XHg149GCNw8cbJMIhDBX9WKGERAgxFnhmOQGjSbTBaI0rUia8iICYW2/occnWITtmY973xpCaJ2nUXKKoTrvrEucrauKSpDJztBziVBUxUhxLwsiCfBBK+kNJpy9YWdc8cXCR050vtpLo+KU//gM/rs6dOZ5u37n37w7AnznwFDrAO3Tw4R9dWpr89088pdi3zcN1wHMlcaKsg0HuXBhry0lrZzkJJArc1NpVgRLUU0GoYZi6DFKXfhrQ7ab8xsemMEnM5rkhV+0aMjOR8K7XDti1KSKORaa3JVSYm0x/SqkRUvCpe2o8e6yBcBxOna9zbrFOUFNM+ILJhqEVaFoBNGuCibqi1VRMNR1mJmF2MmHzzJDtmzqkZoNP3d9i0Gtw2Q5Dq65o1iXNmqYZJLhuxJcfCQj7EncTyAxMcSJp1BRvevmA+57S9EJJb5DS6TtsdB0WVutceUmTd72yw5Mv1Dm11kRJDcSZXnaJ04wRI0lv6NDueTRrdRq1kCt3DLnliiFnltqcnN/AcVOeOe7wyW/UEUpZcAs5ehKNtiRkDHGUsntzwnteO2C2lXLFbsPmGUgTlzBqkiQu6x2XJFbEqZPFQZapkySr70lk9pogSlTmtVvXaxhJhrGwtmNiuHSry77tAyZc79/f/9DD/VfePvHHx48/Gu3de8vfDYA/9swpUrN0eVOd+J1pcb+8bMcsax2PKDFImVtwEmO0TeIIUKmts3ZSy+RxanCzEtk4NQTa2CBHG6JUEGpJmEoi7RJrWO61+MazGkPKXz0aI0RqT5KxJwkys8ReUQihEEIilSKJHaR2cB1J04dL5gwNV1P3NXUf6r6gUZM0a1YOTTQlUy2YmUiYmwrZNtclZZ3/+JcBDzy3iX0zMFXP2LsuadYS6rWIRn1ArVbHVxIlMw2OlQNx7DIcCFtiGip6Q013oG3LXMPj7OIEr7gq5B+/e5Hf/KTD6Q0fITTGxOjUECcuUSwZhraMtTlwaAQe9VpA3a8T+DHNWsSNl0V4bszNlyW873V9HJVkSSCNEGZUlGeSTmuJEBLfVYDHMHRYXbduSJrmMU8mCxNpg/xUkWSFa0n+WiKIU0kU2+dRkucsIE7scfAcwUTd5fBJzVcevUf+3D/s/c76wo77TTR8/r8FNv8fA/yer3+WS3ZM1T7/jSPv+Owjz4nrL42ZboaWZZJMd0ubXjdGIoTNsqlUEEuDyiJ2J7W9j0lWBZdqYZ/nkb22+tDeBZGWJEaSaodY+6SZ7VW9FVlKAY4QNlOpIKgZAscQqBTfBd+BwDPUfEHNk9RrknrgWIA3BJNNzXQrYWYyZNN0j22bVvn9z2s+ctdmdk4qZpuaVkPRrCsadajXUpq1mPlVzbF5n8CztTWQV/oJhpHDJVs0W2aHdIYeg6HJWFyy0XVo1gKa9Une97oljs8v8Aef3Y4jHQyaVKck2hAnDmGkGES2KKofSOpDh5rvUvNT2l0bY3huiuukuG6KI22jhJQ2nS+yuy1dEYDIQC5o66zKUtu4Jk0lWksSXcY7SSqK4D5/XjzmuYk0BzhZrkKgU3uGHCVJUoPrJtx8dUy48Zy45wHnHe14/7GPfvwzg+9779u/tQC/+cq2Nxye+4Xr95z8haOHpHz02Vk2TytmpzKzmayGW0k8dCZRZJaGJzsYpvCsrV1lPdk0z7ppW/5ZpNmzSjnr5YoiUKpqbiDL5NnAypEap6L9XSVwHWN9Y0cQ+JLAk9R8RS1QNGuSZt0w0UiZbCZMt0Jmp/rs2rzKo4dDPnbPNqYCn81NTasuLLhrkkagaQQJzXrIo4fgmYN1Lp0zme4t0+aDUHHzFYbLdg147PlJ+qFhMEzpDZwM5C71oEYtmOS9r1rjmcNLPHJgCxiF1qkth00MSWyKepJB6FAfGmqBIvA0vufieym+o7OkmS0xVkrbLVikLQ1GGASlniuDc1tCrHNHSuf2a8WKzVyrRAvrwORfp/m5FdmqbGvu8zxFmuUvlRI0ag57dwi2zrq8eFjIFxfO/2/bd/reRLPxq0D0LQN4u9OTncHgVz742T/854vnznhRNMPmKSfT3QalrDxQChDS+rDCHthUZoVUacnYqTboyvM0z7iZPPNm0FkmLk9WGGOoZN5HVtw8VZ0HtiqXS4pK0ZbN/vmeIvAVNV9QrwmaNUOrnjLRSJhshsxMDNg2t84jhwb8yoc2c/rsJHtnNZN1aNUUjZqiEUAjSKkFMZ47pD20FZGuslItv6XaMlyceLRqMf1E08/qrPvDlG5f0q4p6l2fwG+yZ0vMv/nRNv/qTyQPH9iMQaGNJk01SZoQJZooVgwjxcCX1EJF4El8z+B7Ct/RuK71+x1lLMCVPQ8qkylCmNEG3Sy1bzISMVktS5oBPtXloyUmmT2KDPCZ5VgBe5qt1jmRGWNDAUfZFW1+BZr1kMu3HvSuu5yfe+vb/pH7L3528C8dt/Zfnc7/rwZ4v9dF6/RXH3rwwX/2yKOLQa8/wZZJw8yEzaQpaUcbAAglMrDJAtxa2TanNDU4OUOnBq1NkUbWhUcLRhvbRZ6VgFbvjAE8k91ZYGkliq0pt3aZk7WiuY7E9ySeqwh8O5Kh5hsagaZZT2nVYyaaEdOtAdvmNnjkYJ9/9cezHDo9ze5p67A0a5JGXVr2rhnqQUo9iInTiA9/tYlUClcasmu9AIxdyl1+8A3rfOWJiG7k088A3hsouj1F23cIPB/fbXHFzoR/9+Or/PIfCx56fjPaSFJt0+pxYgvNwkgTBrbc1fcFgSvwPXs+PMcUGVtH6ayYLVvhZAXgZcoTyEgEm0uwbksWyGvKZJoBXSTXKACepmJkZS4ei7IJ+/e0hii2ZDQ3qbhs1xRJtBo88tAD//NNt9wp2u3OL05MtP7fBfiwcwhtzK391Sdr1+yC3jBACIo0scpADRkQpUBpQWoMqTLo1AJcq4yZ0+z1olaibL+yQBe2jiIHdX7gx95XDvC8BiPP5OXs7Thl0Ou60tZveILAtzNP6n5Ko2bB3WpETLYGzE22efRgn1/54DQvnJplx5RgplGRJoFDI7D1K7UgoeZHuG7IudUpXGVb7KwtVwaZaSpJEsXWKUOSxHTiwHbKhJrBMKU7lNT6isBz8dwA15lg/46Ef/djy/zSH8EjL24i1dICPDXESZoxuSb0NUEkGXqqkGCuC65jJZqtUzE4kkymgMgeL4JxK1fIkkKIIjmks+RQni1O00rSKC1JqgR35Zzm/iSCVJii2nE+dVhcb9DuxPSffqyWeLtuleOOz39vgH/0E1/g6w+r+uryh7ztrR6X7GixuuEQxZTlrjJPDZdMq4tSVYGWhtRQsraTg7kqQ0xxMEwuR/LnL/HepCiLqKTMezhFlraWWaNELk8gcMH3NLXAUPOtfq7XYlr1iMnGgNmpNk8cGfLLfzjFc6fm2DapmGtoJmqCZiCpB4p6TVAL7MVhU/0RjxwQ9IYegSK7yKwGz5sQUi2IE4dGoLjt6i6PvtCiH1uZMghT+gNF11f4nsJzvUw/T3LlTs2v/eQSP/978NCBTcRaEmudNUuXPZihJ/E9bdnbLevoHZXfyWRKKeNkluW9GMjzpJDJAZ4BPi2cF0ZX3ux7eRVnfh7T7LnJAG6w9TJJAmFkwRPHmtV2ykJnmemHP+z93I/9SP3FZ77Sv+plb/zvD/Azp8+yY+f2yY9+7FO/e9eD/qv2bo+4Zie06pooEdmVWao5UyxxeVBYBTpoJS7O2hVA6wLYZVNwfnCKkyFsQZGQGbizIiNVANwGNK5D5s9jO4G8rMDKT6ll8qJZC5loDphqdnj6aMgv/+EUz5zcxJZJh7m6ZqIGjUDQqCnqNbs9imXvlMBPaNaH3PuMx0Y7YGqqTJPngNGZTo1TxaYZxete1uPex7Xtosl6Gy3IJYErCVwH1/FwnBpSaq7caXj/Ty7x879neOjQJmLtEGcVgLbs1TK5H8uiutBzJI6TFWFJgXLyY0Px/vKLMJcqIq9Ko0wIjd915VHrymOx8poS1Pn5rRLVmPOlNVZyJZpb9g+54/Laqx595vAf3XLHd//MuTOnNrbv3P3fF+AmPsPC6YWf9zj9vdftHNJq1tHaUPMNrkvxoYwR5VWfP2ZSo6qvR17LkjM5e48EkuPMnR2YPCNXaG+ZV9CVujuvGHQUtj7DMbiubSwOPE3gpdSChHoQ0whCmvUh0xNtnjwc8gu/N8vTxzezadJlUz1lom4ycGfsHUhqvmX/wE+o+xGJDulGPkJJ3JzBCw0uMibL/OLYpeENbblAFDCVg3yY0vcsg/uexHUcXCffgNZwzR7DB35mkf/ff9E8dHAzsXYIU0GU6ozFBUGs8V2D59reVSeLOxxlJaRtBSRr7AaRP1YKs6qrcA50xsBdkFCFmHIcjKzIFQIrLxgzcrHkhV9SwOpai89+NWbT1uPfm7rPHovj+Jf+uzL4Ey+eZknv3C3P/da12yaP4FyuimVlJOjQ5YnUueWkL3aVlzZfudyVgVh5lZdZyfKCNyVrV4PKfLnNOnRUFkzZljcLbM8xRfVg4KaZbo6pBSFTrT4TjS6PHEj4xd+f5anjm5mbcJirpUwEhmYG7lpg7cQc3DU/JfASWo2IAycN9zzZwJMSV+lMrpWrWh44x6ki0Q533hhz6d4ex07XmKtTNPEOw5T+MGNhR+E4btHlJITh6t3waz+1wi/9nub+F+YYxjWbDEsM9ayG23exIHfy1UsXva1SpcUKp6SoAFxUQM4FeqUEuRkFeGWlLQFOETsVK7NmZGXWld+hK+Q3XE0YhIZnTp+hLx+69v2/8CO7TXz0lHD/9gP4/9YAP3dunk0zrT1f+MYjv3XfQ+vffd2O81y1e4p2r0YYSZLcGy0q+URhBensa1N8yPwiKMFe2lGVyL3qklzglmTMPQ5uYZAqtwUtGByVsbZj8ByN62p8V+N7CYGXEPgR9SBkeqLPerfPfc/Dr/35Fp49OstsBu7JmqFZEzQCUXjl1nnRlr09C/CaHxKlKcNBQKDsRSZFZekn16wiCzQdq+WdkDAyDGJRAbjG81I818F1pZ0qIN0C4Ai47hLBr/3MOr/x0YSHDs5wvt1i2JBMpoZmYgiyiQO+azLvP3dSTMHeuVTJAV683+xNV3FeKMTspBQStAr2MSavXgTlql3GVtWLIXdZktQwjAUbQ8HuXcvceV39uxdOP50GUzf/z8vLiyfn5jb/twX40uJZ+t3aLWuLR99x5NA59m+R1GtDjFE4KqtDSEeTADmwq6DOvy5Z2kbQo1r7QoDnh7iqCvOTYMc95OxtMnliKsOBbFms6+hszERagNv3MnBP91heH/D+D9f57MNzrPSmmJuQzAUZuAOru+tZYFnzJXXfZAxutXfgR0DE3U97rMceMz4j9diI0RUqTW3zQ8t3eO0NfR45FNGNfSaKjnWNF9padc+xAHeUbcgW0iZoMLB/p+Q3/0mHLzwy4Fc/uJmzK1MMJh0mPUEz0dQT8GM7etlTdqCRmweaUhRBcP5YDdSrF6YQRa9IcX4YA3d+HimqFC+UICOsXeQ5TAXctiOrHwm6kaZVE8yfPMujybF37Ll04sNxNDj535zBl059kVUpmZA93vM6n8t2N5AiwfdiEBonMSRJxkoZO1UTA6aQIyXQC9tPj9lQ46xdlSXZgS7cmizVnLsAKge4MraYK8veuU7W3+mmeG5C4MX4XkyzNsBx+tz7TMoffbHF5x/YRKRbbGoJZgMrS6wFmPvkKruLjLmr7B3jOCEPvjhJP3LYWs/fzziDZ4GmtoVogau49coBibYAH8TCdq3nneuhtsGhk82Gyew9kSXXDYLZScH3vqZH0z/PB7844L4XZ1iIa/QDSSsxNBxjQe5kcYgyWVxiMpDnx1CUteMSJCWLj+8oWEiVfEQFJZAZI6yqwVBl82quw5Zq5I0WtlxXp5IXDrUYrEOz+Rzvfde+f/pdb779qeW1wZG56dr/c4CfPn2ao0f+EL82d23YOfyvdm85xnQrIEkpCnakdHCUJlG2u8ZJbRIiTXNAy8I3LbJiFX09kkwYAXbFeqjaV8KMSZM8K2ffk5IUk69y5naVrcXw3RjPiwnciHp9iOf1+fO7HH79TzdxbHka1w/Y0hRM+ykt39DwoZF12Nd8m+0MsoSQrV9Js5XAypOVTkov8vCUwpOmCDCpfJQ87kizmo0ocam5Q7ZMDtjoNxlklXbDyMYKrptmNp/K7E5lAT4SuNrKx+9+ZY+br1rm1/5syEe+PMda0qDvuzRcScuxNTi+Y8uU82YIJ0/6ZCufLKRKmQCqksqoWKkCnYuuwMW5LlyUcUctrz3KAJ7YevQwFTZw7sPiUY3vLbDvxSdejdvZtrS6fmRh/jxbtm77fwbwNNXcdOM/3fPQkwc+8R//9OD+VsPhx96yym37U6I4YBh5qFijlEOsNCpRGYvLwrxPtR4DtxgFd+6vFkkccVGfW2BKNsmyb7IKcGlQUiNHmDvNQJ7gOVaS+F6I7w44uZjwB19o8Jn7Zzi+OEWr7jIdwJSf0vRNlnrPwS0zcMsiKRRk2tv37IXTaoR8+kGHI6dqBNkErqJdjBLl1bgkTSVx4rB/N7z15i5/9KUZenWHVmxnj/hRFjcojeNI634oKiB3K5RqV4Vds5Jf/IE+115ylt/7/DTHFyZYS2r0XYeGEtQzoHvS2Asnc5mK1S8/rrl9iNXnZabTXOiT58RkzAiTXwzoBWvnxyEHtrbMnXcRdRMYxhqThtxx1QY/+PoBl+18hr27bvz9yRvueHMcbvyNUuWbAnxhNWbztMPX739yx4EDh/apYchDR7bw3Ik6/+4nzvDGG9so1bDDMKVGSYdYalItcVJVFONUWXsU5KJytYuCBYqDVdC2GdGBObDtY1Y0lIHbuiY5e6e4TmI7d5wE3w/xnJBuGvE7n/D44Be2cG51Eq1qTE8opj3DhKepZ8xdL9L3MqtTyaRJ5p0X4PZs9jKMI46c9elFPlN+5uLkSafclcizsKZSkxI7tBoOl+yIUP6QbtRk4AlqsSHMAe6kWaJGWR9b5iXAFwteFXMTfX76u/u8484FPviFDn/wqRlWBg0GTkDgKOqOoKYMfmIsm8u8Rr8sb8iznBcwOReRK+MOC6NMXjolmcFApZDOZGXSWhBpyr7POEHEXd588yr/+kdSJmqzPP6ih/QP7LvUVTt2XXLrSWMGCPHSUuWbAlym84SDxtyWGfmJzx5/3t23I6A7jHnydIuf+7828Uc/d4abL+tnH87YdjDp2Npgqa00UYI0q0S7ENjVyrWCoy9yMxU70BTAHpEnMquSU6kFuJPiqBTPjQm8CM+NaA8jHnxW8ud3tfjU/TMM0yae5zHjCSY9TcMz1H1D3SvBHfgS35f4mTSxiaHMmcgA7rk283li3nDfE3Wi2MVvmAsCzPxWpLmzUtQoVriuw+tu7vKxr/U4dLbBILC106Fr8BJwY40b6WJWo5URshzuQ7kiptquoHXfYfPkgP/fe/tcuSvkI3c1efzABMuDBkPl4boOgSOoSfDzAUu5vSqNzScIKiAfrVkZL86qMnpxbi/G4GasD1QLYp0xt4ZeCnGSQtjn1ivX+MDPdJhtzfLckQnOLNY5v/K0u2XnjZ9YWVt/2XDQW/6vZvBTa5sl55+/JVr98sQbbtpgZUNx6LwkEopDp2r89f01rt3bxfckmCqb2hOhtUSnsgw0jchGiYkRcFMBe34bKfyxPTqWyYuUsi7KPa3uNjgqtQBXaSFHHCem3Yt54HnBh77U4q4nJ1hrN5G1gGZNMekaWp6m7hrqnqHmkbG2Ze6aLwk8ReAJAo+sQk9n4Nb4rtXfygk5fBbOtQObWMn07WjipKyfsQ6DyLSnJIocNrcEl+0c8NzphH7sEmYzvr0ICz6VZhIlT9TYArbqrYh1stUzTm19+HteN+CNL1/n6091+ZMvt3j8QIvVbp229Oh5Dp4SeFLgS2wPpzQ4Io9rsiYVkZX9XoTBL6CkCuBLUItRgBvbBxqngsjAUAuGKaQ6gWRAy+vzjlf22L8LllahG0Y8eXTA4krC+cHXJ376B191yxWXXfolvsnwoG8K8H77jL+2wX/5s7841bjhkhU8X/HM/Ay9xA6j/+sHa/zUu9vsmIiyLhCybhGF1rY/UitZuCcmkyd5rXEV1Kb4X+U2YlEZqgX6xYWUdacomdqB+LmbIWOWuwn3PuHwxQeafPa+CZY6DUQQ4DZdWg5MuLaTp+aSyQ6oeSK7y6zkNNPdnsDP2TsHuJPgeQmBF2FMzN1P+pyarzE7LXClznSsKBt9K2xXlJ9mkmIQuuzeLHjdDX0+83BEL3YZxILANXiJZfEwNpVVShV+NUKOyBR7l2WjgrZ+e80Pec9rBnzHzav81f1dvvBAnXufbbLUrjMQHgPPwXEVjhC4UuBKiStMJrUMClGRhqP24QVknp1LXWVwxCi4tSA2EBnL4LE2GJ2CDiEJmWuGfNcrhhhcAj/kst0LzMwEbN9ieNU1YWPr1Cv+S9JfuhIY/FcB/OyJA2y0e5w9JTh5ajMbIaxseAiRYkRKGAvW2oLdUwmOirMPOwrw/EDbK1eW8sTk3SMXK5wSowFlBdhC5Ds8aEQGcMdJ8ZyYIIgZhimHzsHJ84qPf3WCLz3eYmm9AW6A03KpK0nTNTQdO6Ol5kLgWnAHrp1JaMtMZeUusu+bDOS6ALnn2va0Y+c1z53wwXWzZd5UUvRiBAVVVkuLmmk7N+SaS0Ku2tHj4Lk6g0BQTwR+bAgVmbWnM/bO3ZTcgiy1SuGzZ1ak1iqbPuAyjFxqtZAfflPI227b4CtP9PiLr9U5eT7g4Lk60YZP4jsMHQeppE3nA072mDN5IV0og/9xlBsq0okc2FaWpNjAMjVk4/Q06AR0DDoCEzM9GeM5GoFGG82mlstPfKdDfxAQDl0OHTqFcla+6UrykgBfXTkvwjD8p5/7q7+YvfNlNZbXNWeWUtpdw7mVGHTC6fOS+x/3uWZPD9eJCstQ6RStVWYPysLGMhWA561RMJ7MybFgKprPFI0SUuhM66f4vp2kmqQpC6vw1W84HDtb455Ha5xbr3HsfAN8H1V3CBxFwzE0HG1dBNcOzg9cO67Ngji/y+yuMoCTae4M3G6K71r2thdWxIllOHCyjitH7cFColDWg5e1OXnGN+9pdLlq94DLNvV5/nhCP3FpxoLQAS+xMwFVBeBSCoSUI0wOoxZcIYPyvslUEacuoevRqkX84BtCXnlth3PrHe5+zOP4GZ+vPFnn/GpAOnDR0iH2FELKrGnFduVLsownFLIlX3ULjI/LlOLCNtmErTxvn9q7TsHEkCb4JuGVN0fs2pbgKJhoRpyZn+Tcwhyn5n0W18A7eHT2Pe/9vn966vT5D+zete2i4dtLAtwdfhqZ6u+9evfRxlTNZ73jcn0Us/34KkfP9zg5D2GYcvWVSbY5aYyQGpkkaKky5lYW2MhSmiAyG1BUqDsPLk3pc48wd0WKqBTXT4lTw/EzgueOK776aJ3nT3i8eKJGJ/QJIx9cD9Vy8ZWgrqDuaGoVH9h38jqNvGzW1oX7mSzxPIXnyewCMKX2dlObWXStzg+8GKMjFtckofFxHIknDU7FZhsj8ALkqRntd4wSF4HD3HSEVEN6sUvfEdbpiMuCMUfpkQykFJUoNh92hMBoWTJ5ZTCSm6pi/EQ/9NgyFbFrc8yNe0MG0YAfOdHm+ZMeX30k4LkTAcdPB8SJAl9hpAIhSWUlG1RN5o81MY9ktwxkMM+NcSBrFtcVkOuUONW8eECx2pYMh4aT8zGHTsU89QIMhnZbyYXuYmMxve97lVIf+L/F4F/44l186ZE1dfT0Q2KutsTLL5dE0QSuk/KmV6yjgnVOLcCjz3t0u4KNjgJjkxK1eooxdmwDWYd1ydxVWTJmLRgLaLL5Ja5jQGiENMSRoT+0jH7yrOSjd/n0Y8XTLwYcPeOz0vMIUw8cD5SLaik8KagpqCtDoLDjzFRWeKQsa3uusEmPKrhdiZfJEt8D3yNzTWzK3HU0nptkGdGYWhCxtJ7y1YeatLs+UxMCJ/Pi86KviwVk+fktcwWSMFTMzijeeNuQrzw+4HS7wcCVVqY44CYGN84968xjl6m1C6nOOpHF39DGqfwNC3QvVaSOInHt2Ic4dq2V6sY0vJhXXpNw65Uhb3/1kMNnJM8ccBlEio98tc6JBReEpD9wSCOVl29inHzpHTuvRU6oSHKMAFwkBqGzTQiMptawDdICQ6Nl+A8fbfLYcx6n5xskzpSd2KUSBmnEy6/scsWWJ8W1V7xSve+RryU33/r6vx3AhYBmffp3nn42uO7YuVnu2dvm/T95HmN82zFeh307Qs4vK/7Ff2yhlUBIuOHymPe8fmgbhlOYm9Rcf3VMI7BZLDL2vngALorhPO2+4JlnHVY7klogefSAy+fuDxjGimGsmF/w0MIhNi5auOA4CN/BkRJPCQJpCDJg+8rgK2NrwJ3M83VK5vbyvswC3Crr0RQFe3uuxvPyAq20YG/Pi1Eq4htPKT7zcBPlOdZuG9HfL83guReeprnjoRgOXd52+4DPPtjhI3dP0EsCGpkOd3MdHudJGVN0CwkhC4Blrd4VrV8BuM5GOziWyV1HkTgOTpJaoKsUpewg/akg4fYrEm67IsaIkHe9ps8wtnbeX9/v89gBj5ovWOkonnneo9OXmUoaA3mVxTKQGwONQHP99RGzk6ltjEgN73n9kOsvjxESjIJ/+7tN7nmiBn4AgYfvKRwx4Dd+cpn92+oME/+6en3qd7Thp/9WDL6w1GVqutG67+7PX3HZdqlcU2dTQ4Dp4joxkgSMpt8VfPTLNV445Rdn8vDJgM/dbaeEmtQwMZVyy3UxzZptSeMlXO7q8ialYKOnePw5j05bIR1pZ6IYxzKTcLBzgR2QDlJKXCksmKXBlxpPWiB4CjxVzuizIBdlw4NjGwHyxuMquC3DZ2W1bs7gaeWe4DsxxkScW/GIwgB/QuJlaW+VVeWNZDHzjh6oxCUUzJpqRRS7TDUVO2cjPDFkkPgMEkHNsWMX8hqSPKGlZLW8VRZ/y/6NLP7RusyeZiUUaUUaJUma5Q1Utv9RQpykqNjmEhyVImXCjlmdrRiaK3cNicwA6WjabcHjzzls9CWqUCyjQfXombZ14o0Abr0uYmJKY1L7g3WHbJKXwUj43jcN+Kv76wySFIgJUxfhOKysbuFQFLDRd9S1tf4Vb33rd7VM2usI1fjmAI+HK6wubXzgyJETr6mpAbdd67JjU0pn0GJmok3gx/SGhg98pMXdj9fAcUDawXsJgrbJzqI0dDYE89/4WwA7XzbykyMEOt9ygazmVKgyyJEys7JyUGdpZ0m2cWvuG1cenayTXpFtvUcBbtvWpfAycHsORYmpZfCMxR2Nl2VHXTfG92POrGj+7CsNcDxcKcoAs5An4gIGr2b68iGhFmx2sE4Uu7zvjQP+6t4BLy426aUu9cRuSmurAE3ZiaPynEAl2MuPZaEEZKXAK7/rohbGcRRuaueluBnQlSyTZrZuPHsudGYFpzjCIEzKbF3zna/QINJMZgIi3z+jev7H/UQBqcJktrPBGim2xcAm7l5/U8gv/Wib/+PDDu1hgqxpZn2HB58ybJvRNGpdti6cfs358+c+kKbp//Q3MvjauS+AkN7+7aeI5wY4jmGyOaDmR7TqIf0w5jc/Vue3/2KCduhb5GTgK2akVW6pS8UmyT9wVaOJyr/Ln8vi9wkpixY0JcAVNq3sC1st6Er7tSPJaiqy7vG8kMihMgeFbGe2squ+BLgsZIvvmaKlzfN0ZXBOgpuxt+fESBlxakGw3AkQjoMvGZEnsvqxxk53tamjqo+TVBElLjOtkN1bBhxcCBmkDsMU/FTgpgY3yXR4QuEslSl0NdKpkMtfO2k3H8UhKtJI46SaVEmUk29frrJitRSpdKUUI7NmM5CL/G9ji+5EVnyXGwS5E1ZUgY5e4y+Z97C/Q5NqTdOP+dl3d0lTyW9+VLEx8Oi5PseXYaNvtfrJlTMcW/mSp/WF+Z4LAP6Fh1/EGMGlmxeYa4ZcuSu1U1KdkGPzMR/+co3f/otJNsLARmpiDOAXAflFGbsCcFEpyUQIJGWK2E6lAlcYXJGBNpMA+fPitYzsy1JQigZbTwkL9hFwS/vo5UDPg88M3Hn3j6MLieI6Vp96XkxCzBcerLG4XMOdUHjVGo6qgzL+qUdqp8VYEKgYhnaC7Vvu6PHgs0M6SUDfcaglmihLpytZFkTlBWdCaMrOoTzQHM0eWmdLW/9Z2b/paEGiBE4qs13sbC1PkgG9TKbpIsEmpa4k3rLneQlvAe5qWt9UTr95aWRktrCQGqk1WitaXsw/eW8HIQ0f+VLK8fkJDvZ8WgFctjMEt8d0vUuqL/y9IwD/1GfuYnqi9orf+NO7b/7oQodWA777jg6NQNMeOHzhgSZPHayzEflQq4JbUe3fq/ZJXvgBRjtE8oxYnjTIEwkOFFabylLGdr5JqXFVDmxp5xzmoxCqwC7moChsP+LFAJ4HnLnudnJZYjK9PVpL7rkxnhux0NY8ebQGjoeTyROnUqAkC0YaPRg2g1upuiv6UmXhicexyw2XhsxMDmiv1+kniroCN7GfRaXG3uMqwG2iraxwkBfW/GhTTKnSSpNqgasFqZKkSpMqQZKBvFq8lpdDyBzkFVDnJRMCy+olsKtsToXRq0eiCpBKziO7pzIlTR0aXsw/feeQV12zyBce6LLe96j5kjffHjNV99m6acvNafDOV3zXc+94YP+13/ESDG5iegO+c++0vP7kEY9DS3X+7bEpwiRFp5o4EpYma5kelhKVmf6iAGhZiD+eoi5ESIXVZHZ1VwFeHbmmKiDPGcvJayOyGvC81FPJEthKWlmiiu6VEth5861l70xzOxR6O7cELWOX4HaL6sQYQczn7/d58Pkm0nfwpLDzt4sKwrKNrqz4G89mikoTSO6JK1KtGAxdbrt6wFtf2eUPPt8kSn16qSRIDWFCtnJVq/50Juf02AX1UkwO2pFZx7sowJ0qiVLaMrqU2WgJXSlFrtYAmRLkI9nmnMkvBnIulC0if175N8IgyTck00SJh++mvOKalJsuj0kSTRj5xPEE88s1Tpydvn7zzsF3aq0fuCiDz8+fp9FovPHrX//GD7hscO0eh/NrhlNrLqvGJwREPWOJTEJY+TAKTlF5oyMlrhcDefaiFJULopoCzkFeGW2QM7fMrjUl8i0Ay8lV+ZiIgsWzbhhXjYLbjlMYY+6sZ9PL2ttcJ284SCr3mIiYv7i7RWp8VJG9rAaYZV9j7myMaHBE1omeyxRpp0OlebDpIHB5z2v7fPgLIRs6ZpAGDFKBm1CwuJQGmYii6MzaheNaVFasSVEBuSB1rKNhwa1JHYPSVq6kyqBSWzhns8eyKE0uLcpqdWdZxpzvpFFkpIt0/ugErYsBXGTzEmUuc1L7+6Mo70UVJIlDt1/j/PIEp+Z9OoMOBL0fuOX2O++Zn5//ytatW0cBrogxaXhpK+jv2715yJZpn+HzEYsdw6SvibPSxuxw2QPKhanoEVCbsp5kXJpU529YQJsR1pNjz8c1Zw766mwPpUSpxbOKu5FhNxmwHSVKJ6WwA23HvW1MNhlzlwGmU2Fv34148qjkyPkAo1yUlHhS44zXaVSWqnEXJb8XLXxaVPxqC/I4cdm3LeaqvT0ePlwjVh6DRBBIcFODk4hMvmVdOEmmw5FWLoyJgZLFRUUalXNq8pmQjtIZuLN2NmUq4M5rgUxWJpAzOcXqUQV4EXRW6lWEqLL32EUAlYuDC1cESkKIE8VqG545IljbWKc529537SC8tD+IvnIBg59dWkKoOp63xCtetoh04N4jTbpRUBTE5/5H+UbGJEflqqwCPX9RFId67N+O6dUc3Kqo+S5tt1KyCNs9L0pw2yBTFN3iTgFuOQLw6vAf221PAewiW1kwd4rn2MSO7QqKMcR88u46q6s1hO9Y3716EY5JkwJoIz542Z9YreMuvGmtiGOH2WnJu1/X5cmjLcI0oK88aqnV4nk5q5Jk4M7XCp154nlhbiZVxvT4SDP4yCRfidLlRrz5cwtkOaLF823XLRDlCIPLi0iUcXBXg8/R5+XvGWf6fDUM/IjYhHzl6QniULP/unV0Mk8clcWFBcB/8l/9Ndo4NPxzvPKqAYttl0cOOdQAr1rXPLK8jOuqi8uS8e+PuAsjQDcjrF0AvZi8VDbFVmcOFgAvWDyXKxLljALcc7IBQG6+dWCW4XQMbpGK19nzdOTuKNu58+Ip+MRdTULpoaTKspejF+J4BnM84K52Lo3q8EyLp4okdfBTh3e/YciHvtTn2eM1YuXSlxIv1Zl7JJCpqRwfY9vLRNV/1tnfGt23qMrkqQansBDt1F+VlQSo1JTDOrOJtCJvVBaQjOnxEpwUzDzOyqOYuBDk1RXvYvo9l0gvv7LHT35Pj/lVyWuvuR+ve4iJJB0F+NrKAlMzm+s//Yv/5ZJ7Hl3lg0e3o6Rk0rP9e440I6C82E2MPRln8BGGH1mWLkxpXyhRRAGc8XHIssLYeZCZT21ynHyT10x7qzFw5+l7N29M1nZmSNEilvd0Jtk9RrkRR845dCMPlJPJEzNWHnvhCjVeZVedwT2ahMlmzOhSizdcwRXbhzx7JCLVPgPtEaS2ZtvJNLgSdiNXm1jK3QlNHmSWTF5WdeYzSpxiwoF9TWlIpQW8ynankLqcEJBP10rz7v7CACilRBF4jp3vHLAXypNxQJmLYy0/rtKQJArPVXzXrTECTaR9Vns7L5m55n+pnz7zL/q7dm6xAD92cp7m8sYbbrty9udPHniWHXVRzOIur51Ko+nfIjFZPB1n7grw7Ru9UKrkNdRVBpdFkFkdqpmDnLJGWlVArUZ3MXYVmRduwW0BXA4FcqvypMreKuvr9CLWupr/8y+brA4ChO9aeSLNyKpSDs55aUIogE42TSCfBlYwuHVUksShVXf4R+/s8vUnW6yGHpF0GEiJl/VQliMf8oC9Uk8vNHkZrUFn4Na2wnPEWREZg5siSM/BrqTIGNxKorRwUTJQ52OYRW4MmJEVuZAoVekxRoBU6v/H855m7FGM4M8vyoHDCLbs3v3z7tnDDyTx4K8KBn/0iRfxfI/Tp8+weRKEVAxCO5cjTivTiSonZeQvfrPbRfR5/lreq1jqb1Fq8AobVqVJ3iFTAFsKpCrHj6kKqB0pcTJJ4hQAzzW3LoJK19EFuF0nr78YZW9XxXhexMfvdnnhWA2ki5QSPy+NFeVJLvaIzz74S1YTwmjCp9JupjMmt5s8uVyzr893v7LDh74UoB2fgfTwpSiSPkoK4lz3ciGTiyqT5+OQK7s4GANagTJ2VdBGWHDnU8I0pMX8FFECvDJf3H5+kXnhFcmZA5xyNRuRIlVUX4QrzQXHzHaGpcZuhxJGisFQ0hvEGO8c0lHEkW3AcQD2bPdxPQ+V+OiBzzB22OjEdPopYUy233tZsF4GSpV3NZaBz78ugS0qH8ggK4mhcYlSBpY54EUhS/5mgMsS4KpSQ+1kdSkuhRRxVemWuJXhQKXmtuztOnZq1Xpb89ffaLLS9iHI3BNRCcZeQqIgxiooTeWEjdt2uWWY97Omdku+qZbiu17T57MPDlnt+UTKYZDKzJ4UmXsjymZsWQb1ObCNKbt+dMHm5fxIJ3dWVPZcZl9LSBXFca+CXEhR6b7Pz9cYg1/Qy2mozmp8qcR3NZ1fXpD2MdWCJBEMIkmnp1jvwOqGQdUUftMnDO2/c0z0BLjTewbLD/3jk7UX2NYUnFlSPH9M2f0kje0trM6Sy6fGjoSZY61n49ZgweSUJ3wU1KOTTYtKvDxxMgLs0dnf1Q4XO9ydUXDnOxvkzK0qzH0Bg+fjJsqRE46ymcsTJwWHTwVofIR0iubcsnpwVGKVrkZ5Fqu1KCUriYo8EYWTUbSbpQ4Yh/27I/ZtHbJ6sIZJPcviqZUpTsXFKe25aqFX3mAgy/Ink7G5KX1yLUVhHVZjG6XtRaMlmfbOz0tJRrIC5lE/XIxJldEL/qIr3EWIYLz8N0kFcSzZ6MGLJxJOLhjuPXiGd373Jf/4e970iqfveujASef0oketprYcOa7e+PX7ThLFDbq9KdY6Aam2kbQQ49Ney6GLI7NMqoQx9sYvCDaFqEiTMZDLUR0uC+YeBXbxqMhGAVd98Oo929JaVcFdAXm2X72blYbm7K2yrx0nRqmYLzzc5MhKDbxSnrgV63LkguXCcREXnMSCPasBZ57RHNXiUeSwdzbiLbf1eezFOmi7D/xAStw0y+6mo1KpZM58ec1tQ5mdQ1EGm/lzmT2X2aoi87s99mm2YkiRsbqmXDmK+MNULnJTHIdxLT6KjbynK/+fGMGXqeCvWqSmJMxNxFxz2Qq7dg+YX0/Yv/vWNza9ZMuWKX3SObugmJkSPPJ8jd/42CYC32WuLtk1kzJRs0u9dBgDd2XEmqHCCBdn8Sqwq8xeZvpGtfYIi+cD7ceAXbC5EpUm3Aq4s/mE5bYdXAhspxwQVIx4c3QG8sTKExVTq0c8fEjxV99oMBh6UHdwpMAVo9Jk/P2Pxx8XY6kR/T1mGVZ98ThxmGg6vP3OIV96sM+jhzxMw2WQ+niC4kJTxd+vZAVHqjgtyKsehQ0+swtMWTZPpdXjusLaeVCvs+BSalHZGUJUAt0LzYPywq/GBtVVXowcE8gb00fnkI9gD0taWydTbr5aMzUREccxUztSmi3NVE3jDIYxvUFEHKVM+w6bpzyaPtTcck8bkR2XfNuKkSn/mJHldvx2IYtXlqviIIxONC2DS1GAppiXpyq7NyiR1aaU4C5BnpfNGhynHKHsZJswOWoU6G7B1vaulA0wPc8emy89VOfF03VwXYRUGaiyuSGV4FLIURYfd43ys1ierGw1rGQyLchlocVzuzCKHK7clfCmO3o8c7JGmHik0mWgFV7K2HvJvXDGGNw+mrH3gsovNo1WApUzphQYBdKUerxYUSVIXZllqCsSpRj7Vgk6RwD9TS78QneLUawVg1tH//1g6LC0NsVg2KQebDBDihIDIMS59+4v4zqKldUON+718T2ZsV0+Hqw8IPmyMLq1yNhsk+oTMfIw4oPnaWy7lFdYOw8sRwLMcgeCUppUrMKCsXOAl5NTC4mSMbdlbFMwtVM8ls/dLLh0VIzvRTx/SvCVB+v0Bx40XKTIKwep2IMXyWJWVqjqkchrUSy6yuM5Xj5bzjVRRbdPsxnxpttDPnvvkGeO++B4DLXEy7S40qBSKjIBRIr1lYWwcxqqtoUqAeSoygotLZvnq0oe5GtjwS51mWgTunRTinOpK8GmHrVNR/MhFwd4VZaUQ/OrmyrYn823Bu8MFJ6jUTLgyPwxlLuM0QlONNggFgJPJlyyPRg5CVQn9Ztyi79qVVpVpoxKFHsgLwgyiw9XDTxEIVFK3S0qy54oNbgazWYqlVUYZhWFtp0re+5U54OPgTu7u/kU2qzA31GJvTsxrhuTmJTPP1DjvudrENjuJS+XJ2I0uCycQSqf9Zvo8NGVMLe/KJqRU5PPNSmBHg5dXn1Nn7e8os8LpwKSxMUIxUA4uCnFexJpyeJi5KxeyOTVIfZKZaCSls3t1wKpRaHDC78/Z/R8tc0YvGDv8XxA4YtXHLVvAvDqjJfRMRh5N1R5/OyP21EltaCP68YYY3Cu3GO3rohjwWAgiBJJFGfbLseGOMl3Htbl1n/ZbsO6wj6YkYVv5KyONjSMgrpguRGbSVT22hFjUqWapq/csx0LSqBX7k65CWoOaLcC6tw5sY6JfVQqxnNjnj4p+cTdTcAD6SKEKrqIVJa2rmZdq5+nVJdiDGAlGYw6AxUNbgQ6FcVksHKfeAdjHN7z2gFffWjI48fsJIFYK/qpyAq+MtClpliBxQVnxb4XY4xl8SrQLbFnYDNome3nU7BpJbNssr9lKnGTrjg5sgS4FKPAFn/DhQ8VIi3cJYoNZZNsE2G7T6gmTgzDKMX1bH2/NgbnxqsWkVIQhprVNcFGt0anr+gOFP2hYBjZTTpjoUiFRqQGLcwIg19sq5Hq0SxOc/a1FN8M4KIEuCzZvFpoNQLyrDWt3GzKZGDPB+CX4B5h7cpj3libSxWlElw3IU4T7nm0xnNHa+C6IG1w6QlTmRxbDaxGrc5R8h6Flqk8KRogKjUiI9WFqR2BZ0tpHcLI5ep9Q159i2XxQWpZPBQeQw1OKsrAL83tQutelBLFvgFjRpm8AJgEowzSCJTBZj+NQBiBESCNGJEqIn8ct0p1eTxkkV39vwPwUncXW70n2N3kYk0YpQyHml6o6Q00K11DRIh0EjAG50+/YogSyeapkNdc12XzzARnlxq4Gx5SKPLhXPYNSYTINm01BqHH7UJxYUaq8mGqTC7GQJ6z9QjQq/UngmLvnXL34gzYIw0P5dYlSo2BuzIUv3BPVIpyKgDPJIrnxByZF/zJl5qEsQt1N5MnFK1pqrpLcNU5GVmqRrBdOYtj7lNFppRbupQbCIxqcYeGL/mhN/X5/H0NDp2zF1+qFf1U2SrDNEv+IKw0SLOxHGMrSb7qVgEuK26ZyjS61AYj7WpvpLAA19k506VkKZN0Fybu9Nj5H7vuLw7wyvaTVeaOM3D3BymdfspqB06tSvx6n7ffGbJ3m8MgNKg//t0Pbvad5v/x/KGj+6cmFrh81xBXSaLYYxipYpeG6rzu/PyNMrEYkxSlbra+qbRBYfEz2XbfMh8HnD0qOWL5jd/zkQlVj7t4dErdbR2UUXBX9+opi6my3R+cuGhmcJ2IVEZ86HN1PvyVSfB9UAFKOdSVoaZMNo6CosHZrbTGlZnUaiJKUk6GZSRALWOJ0nbML1ohyRp/y15IJQ3CaHZuiTi3InniOY9E2MkDWiiEsKW0o3HOmFTMz6Sp4kyMrCrFhWgqHjWlc1aVWOUFUtp45YYG5c+MDMUf+7nxMcsjm8qm5eZUSWKK7csHoWalYzixCsuDAdddtsJV23127XzTlksv/a6vOQePH5mUavHNW+e6fPBLs/zOZxSvuTbl+kvKrpC8e0YbUAbI98AEuw+SuZC4R0h83B4cuSjGmZxR5h6pAzcj2lsWYCgliapob1Xs9FDZiEqZMUmSVwrm7B3jOjGHz0s+9vU6dv6KZe+icz//+4KR8cJ56954oCmqX4zlDsqCq2ptSBlQ2cAzy2oaiU4Vqcq0eOrw3tf1+cw9dQ6cdUFGGCEZpi4OoqwNESDybpU0T/zkUK1IJ2O/NphSgxeMnultY2VLrrulsX/D6MwfzzS5HpGgo/X+VYnyEotbkS03lCAv76ZSJiLwfcM7X9fmtdev0R8avvxIn8bEwpt9j0nnmSM9zi/EfOPhCYQJQMOjz4FLwFTTpnWrmTktBdIY0PaMXkx/j2grkZv7+fdGtfdIgDaWKFAjYB/dR6bU4OVWgfnOamoM3HYiq84erR2olEblfrdKUDJBZfIkVQmfe6DBgSOl9pZCWu+76KAZO3li9DhVExvjK7EZeT7agDziiVcmUjla2NoUWabwo9jhyktD3vaKHsc+5hOlCoRDKhwGQuCkFJ1XeYWhIH9PpvIOROX85bFALlGsNDHGZFo8uwtTpvgFaGmBr/WFxXJCCPSYTVj1xStQGV0pckavALsc3Gl/R+ALrtzkcccVTba0PNKm5gdeN2B6U4+g0cHZPRvgJQH7N3n4vsJ3Bc26gzGKOLkwEyUBI6x5L3WWqBDVA1S5QrMvRguP7AGuBiQjjyNZwVHWzr9WkqIAX8mSuQugqyqTl7pb5UFkvsWJ1DiyHJqvVIrrxhyfV/xfn24xlC75BK2yaz5bQao10KLK1GL0bL3EbXT5ztyMIg1dqU2ppO6r9SmpdkhSFz9N+J/e0eMv76lz7LwDKgbtEAuXgRCoND+2eYGbqSCryuTZxQY4+QWXvSaNTc8bTMbauSeuR9jcZH8nJ8GcxcfdpQuSPi/F5BXJovN3WckZgM3XYBSHT04wv2yn/xods1nPUm9O49RrkplJh8t2+fi+i6vKoZNKZdonrbyBqjtQXXa5yBun/GD585Gru3I1j0sTMcbaeSIllyQW9LqUKHKUwZ0RfzsD84jfXblLy+KuE9GJNH/w2RbnlnxQTmYNykyemBHfu3jOhUQwIsW+GdCpSJXK1ooluPMgSxb3ohlCKtLEYftcyE9+d5df+xOPdmwDAmMkoVbWNkzz92EgrdqGJcjL/9vvqAxhJpOlxaMs2V1KUzgu2lRIKXst/+w6Nw6kueDYXEiIowCv0nnu+OTvNE2zvTXThGGksy3P7UqnGjYD62ybgaZrYGA7W5S07UkCCGNJfyiJE3FBFRyi1HIj6XhGAT2yJI2vBuPgrgB7lMkvZO288TX3vwsmd3TG6LqQJlaO6IpUyRk7KR4dFeP4MZ/6vM/vf7JFqF0rT4Qq5EnRVFx5b+OWYFlvMabTXoKh8rNVWoVV0Ocpe4POd6rTlRS+tluBB07CT7+rx+FTHh/8nNXioEiFZKhtwClTCgYXlXOX12GUOCrtSgvqTKrkoDb2Ii/YVdifEUJU5Erui+eVhXaVF6YyaaA6FKgq5cRLH6cyt2A1eJQYBkPbyQRp0fiSJgnTm2JSEpypiS6toM2mYAXHccn751ItWO8EHDnTyIanVzJHxdWWs8Hom/sbgZ29zwuBTVGVVg0qLXNnW3RXtwxUVddBV6RKDuYKk8uyOrDQ3cWjnTW4tg5/+fU662EObgtwV1rt7YhReTK68oiRzzYC6yorVZbeYhnOvjFS1ZfvJaqrpbSVOnEpUVqhtUOSOkx4Ke94fZ/PPFBntatAxqAVMVaPj1cXjuLopZnc5oHKpFBen6IYZXGZx2PCGg9V1jYFHirOzphsIW9dMzl5XngTwtYiKey8ljjRnFpOWevZOCVPLkWxZsveGKcZ4yy119DxCmn/PI6qFVQkBAySGvMrAf2hGrEJERVQM/aG86uSslx0tM577Hml3akEe/l1OS6i0vQqL5Qk5WtVcKcjAWYeZOb73DgV9nbrCZ//RsCjz9XQFe1tmxpyeTJab1LUWlTYm8rnu0DOXXjKMjbKgV7Z/dmM115Ugk4jUab0xZPUxdEJt14T8daX9/mzL3igIhASIwShdlBC2C1I8kBTlKAelyu5NWiMtWtzZleylFHGZC6NsRe3MXYarBZlVtPIHOxlI4bIjls1Nst3iisrS7OLoiAKUbC+NNaO9V0HzzGc3digrtIitkNAmg6ZnV1nbtbBOTrvcOJMwGe/PovvBoV37bmCaV9QVymTzQTflVn1nhgBcRW0I2DmQkCPBpPVTvDyg48ElyNBZmWb7grApTI42YgxKTPHRJpMV1ckSe6YyIpEkdY98d2YY6clf/L5Jgtdz+53Le2gdyUod2y4SFB8MTYSVTx/EwE+kuipMHu1GbkabJqRrnu7f459tNufbG6k/PBbezzwnM+xRQkiBhQayVDIyiZSFkQ5qMXIVVhJ3hUZTlHocCntZlQ5oPMBRkUhlsgcFWF/JgemKeqMMrkiygyrMReSpMhof5Q08gZzCDyY3i646WpBsxHiuUmRKzC6j9McoLwYZ3llipUVzcbKDDXfLU6i54CogTcFcZxmV7K91HKQj5SGyguDrZdi64sBu3itEkzKEfY2lUcqEkVf5HlaaO+cxZ18HLBKUDLFyWxBz4sJU83vfrzFfU/m46DtzEUppe3aEeX8laKZIH9vjJ2YMSav4lyMgXs0g1m6FmW1ZrV8tlpGa9vNdO6opJpEOqjE4dU3RvzUezr8yu96hIm0GSgtSTJXReoKcPKCuGoXr7EtafmbVLkRTjUOy7rrM6aXwv67HMgy89J13rspyEBsiuBzhAjNhUSRs3yOuhwfebLPdQ2OEsy0Jpio13CdtEiCGRPiTsyivCmcqcAlnnK4aa/AdUcOv53v59jxxXlFocwTPdnZGg+25Es95u1UFwN2BpiyKz0Djyr3ny++HpMosrAHyymoI8FlIUusW2IHSiYFg7tewt2Pu3zmvjph5ELNKbR3wd5VqTTG5OP2V1V/i4qEuxh9V2LMosxhFNxgVMboerRWPNUSqa1UyYGeJA61esI7Xj3grvsGfPVxZW1DJAhJLBwGlA4WuTdekSs5K1fVuMm4vKhLkVk2U2DZXGQpI1FKmPxvGEHJ2N8U6Pa9yOxv68yeFMJeWJLyuKvseA5CybkljwXpjhzjJEnYdckErYkmztY5B1e6rG33cRwHY7Jcf5YO1XqUiYpr/WLB4wXMXJEilQuhZEG7VFb1dlWqFOMQilmEpnRQRqzBfBKqLp4XrJ3fVQluJwO358Zs9Ayff6DOofkgW7ZsSazItbegMkHKXADu4rNSOVHfXHiP4rzIDFe0+LhUGUv8jNeLS6mQOkVqhzh0uHxLzFtf2ePRAx7tKEu/aqvHIxT5PhAyA9RoQ0R5gg02uVOSewb6ohmi1OZ5zbgWxnYCiTzLmfFhVg1qLsLo1eNJtgIUhWDGUvxoB5JN/ISxYBgJohiixNrZxkAca0RdMB2B47qCVl2wZ5v1v7W2JbPtHqysW3+xYBxTtcJeGtzldKdRQIyws6ws85URBKIqTyp2YA70anApCwBXQC7HAso8kVN1UaTtlNek/OkXavz+p5sY4Vjfe4S9KbX3iDV4IdCrRWWl6fUSGB+p3biYF16VKRe2suXbM2qt0alES+uLK6mJUxepND/99j5Hz7v8/mcc4qQEuUYQConS+SCJDNwVTV7al1nEmL/nPODMAFeAnCxwLC7ukq11fn6NwMi8P7O0K/PfZ/EhMiGfyRxjS15HWkYq0s8YGISC5fWUbi8hTux7T9OErTsNjSY4dX+IY3rUd60y3XJJU4U2hueOuZyad0hTmy3KwZ1T9/hyPZ5tzIFalSDVny1GfVWYvjpnI5clxUy8izF3Nh8vd0lG5UmlaXjEGkxQMsb1Yo4uSD5zT4Nez81GQo+xd1HzXbkwRZngGbnYx57nJ/tv4nBTaoCKHMi1eDm3ROu83qMCdJkDXaKl1eJSOsRxSrOR8PY7+3zp/hpH57OTYxd6UiEYVN9pDm6Tae1ck8s8u2lGa8RFJqVkpbBKlHrcZGXDBVuLLAuay5nKebcXRyUOyOWSBDSlv145PmQY8hxQMuXo2SHPHTfZjHVDzR1yRa9Pc1jHefIYrK4lDNfXeeedCbu3wIEzii89MUO/3WDzpEQKOyUqlyUjvvVYffbFkjTjSRxRWe5Fhb1Vwep5QHkhk+eRcjmYvaK/CxZPK+xu95MpWFzaAqsw1tz1SIOvP1Wzw8FlOdC/yt65H69EGTCN1pyMOgBVm/VveyvYvEjdj9ZhGFnKFJNtRWJ1ty5lipakQqJSiRaKOHR4/fURr791wJkvuoTa6vDcy0twCIVtLJaaUqYUwV0WhxXLUC5P7LnOdbdVWLkOL1/XQhTyREprjFtXxX4ekV8AeTlvBmgLbPv3hKSobTHCdjtlJeXWSfE1W2cGbJpb4bl5l4NnauzZFPKdt27wptv7zM5GOHt37duIh+JLZ0/s/J6/evAkUZLwyKFpTp9tsG8222aZHNhlzXa1iq6aTh8vkJJjrD4+EWmU8W2SSVVAXWrxchB7PnixdE70BTq8WmPiZK6JVLZTR3oJ9z7u8et/PEFqnNI5kQohpN0HSJRp+VEGr4BcXpy9/xZJzBLZjLJTNWVflSuafOpVVowlLqLJpfXGhXZIEo3npfzCj3Y4dNbh3sck2hMZZO0HiLViMCKoMpDLl9DkhReekVr+frNkTj5uwhh7nOx2qRnLF6ydBaFZ0JIHq7KQSfkxy1jd2NHOQpoiL2AKkNv3c/0+ya/80CpPHI0YhgE7pnZQr+350uzcpRvqH37vTG9ra/nYa27s/dT59R6/+uGtDLuT7JoxTDWg7tv92l3X3os6Z6ds9M1BWDb+lmN9LyhrrX5d2HuZQ6LGXx8tnrJ3Xb42FlgW0kSOpuXLhI7ttTy7Jvj1P5nggacadlMeadvRkC6OFNQk+JJskytzYe32yD1rgC6G5IwOI8pr3vPpW0XD9DhBZBq0LFUYWwkrpCBkeZFVGy4u2G3BwOxMgu8YHn3WY2Mgx5YaWUwRl7msKmTCxa5OMfLaxaYovPT3S5vRli/lQjq/eEb/benyXLx3N+8HkEqAUVy6HV5zQ59P3Vvjiw9t4ann2z/8yS8eOuQsD9dwHcnJU0PufXaCnTM1tk+kTDegEdh9213X7opQzv0b7WIv5UR1EOSFSRuRZwNzbV79WTHK2sUuAqLU4FXNXbD4CHvn4B7X3EkWZCakXsqffHaCv/pGAxNk+wtJq7+FkCP9ls4F7P3S9uDIXpgXOefVl6s1RBUiHykuqgaaIx33+Wg3aUa0uDG6rFERCqk1qXCQg5R3vGbAi8ddPvCHDpGfjBj1RruEuabSeUCXZWzyFH32LnMZoirMW6xAVdkicmuwsipVBgPZa8hUpE1ey5IFuHL0uBSOXdZjKhMIlUBFEqevkMLHMMkgVNx5bY84XaUXhtRlivN7n55ASkG/X6Pbjrh01jBRh0ZgdxkOPIXv2Q2bqiOIC6bOZ9blTHyxgLGSHKkmcHL9rYQeY66qDjejYFelc1LV2arwuEu9LTPNLSu1J199zOePv9hgmGZT8EV+t5uYFjUnlQvzgtR8FegwosHHXaa/SauYLLjLvecLMpqYC0pojaxkNmXFWRHKJoGk9cW11KTawXc1P/qWHg894/HVp2RW3iyLQEobh1DbdrSyYmpMplQSQKX/XX5ddVSMyOxCKfLpcEWNCjKXvPbfm4zNpcgDy8pxoIJ2rDtezgjIA3BFkgqiWDIMHfZtcdn7nRJNAhicpnQBQS2ArbWUepDtOubZjVG9bE+bXJI4Yz2QZVZxlK1zPV31satau/x6FNByDOj2ZzWlRTi645cFc9UmLIFd3hOUE9MP4Vf/aILj53yMU+6WnDsnbhZcls7JRRI7XAjiSmxZArlY5V9akI/PkxnNaFaLr6p6/MLaFC2zikOps1rxfG8bjRAOMtLs3R7zL3+8zUM/59Md5oxdShGNQ2jKhAtyFOQ5EA1ZNSFWktlhtZne1iXQpcgu35ylM2lhNFnXjymSByOOjMj979yaqUzdGhltRwZsQRgqegPJeldR81xmJhV+oNAanO+4fStKKbrdLguLy0ipGB0kX3FKRK41R5MzF6bVx2RJlbFHGF4XGjJn6mLjKaUrQNdcGGhWWXssmZPvzpttQe04MUkKv/2pJk8dDKznLfOkTumcjM46McXY3wv8/oswd55zrg7dvBhfX8DkY85J2QBB2fto8kwyI0yuhWXwIujMGT2VaJHdU2WlitbcsD/mH/2DNr/18UmiVAJJuf4bQYpimFKAOge5wXrYdoZ+JRjM2FqKrLpQlMVWRW2KLCVLob9FXmabS5fKhC+ZMXvG3WUXkckyuJYM4wTCLMbpyTwulKQpTHenaTSapGmK8+Y3v5larc7Rwy/ywH1fxvdkcVLJotj844yn3tWYxlaqAmAxxsZiPLFTlSNchMkzthZZOl7oEYBb8I5nKkftQCWzwDJI+dojPh/8VJP2wLU0LfItyG2TrnVOyqxl1R2q6vCy/uYiMwhHUxLF12Ic0GOsfQHeR4BegnyUtbOpsNpU9HjG5MLaiKlUSJOxeqJoBZqfeFefJ17wuethBfUK2hAgIUUR5kDOmNWtWIiFLZhlOUvtLQpZBxlTV4k4L6sVokjTk18QeZucJCvcEgWojbApe6mxm8OK6kqY7xtV1pknScQtt72W6669lm6vh+N7Ctd1aNZh+1xEEGTdzEagU7Ja8HKakKA8ySM2XsHMhgsCSzkKfHEB+E2lRFaPsHmxu66oyBOlLwpuWcgTG1hKmSCdhIMnHf6vT7Q4uupm+97nG9hm2jtj7wuaiceDSsaYmwqwc7Dnh/+l7MFc1o7VopQsXiZWikYILpbGHxsSlNWoGKOLTWVFpstToRFSIWPNvumU/+ndXU4uOBw5JzBOVWDZD5zoTPdeIFOy9yKtVWm1uBnR4JJKgVX1bvIpWGWJbbF45FajsS7SaPo/+3khENpk152dspakWVdPni8wtjAwSiSO6yCVg2N37tW43oCpqVU2TTaIYoc4lXZyfqgYhpIokeRbgRfLdcX3zmWGELkeN5WfyQBbcUwuBnL7M+U2dbKiv+3vscmci4M7fy0ppInnJyy0Bb/6hy0+c3cd41bS8Zk0qbJ3uaPyqOd90dJYSkxUM5ZVRi9fHAX8CGuPgZ0RsL+UL54DuhqAWvZOtSTfbUFnyR8hHHRqSDC4UvOO1wxoh5Kf/03F4oYAf5zJnYuC3IjcVTElcDNAqxENXmYsTeVX532btuOnHMOcx7R2HEb273N5Y+yKofNkUBaDxLFhGBsGEcUmDWEKyo0Y6IQwhTDROMttxazjLzx7wv/K4vKmN+7ffZ5GYP9Af+BxfqXFwmpAUlzJo7JEjrP3xWRINaC8QLJUwC0qGnvk34/ulV4yeRXcZQuazGpNIjSfe7DB1x6rZ7UmWWAp5Bh7Uw6Rr7D3RYupKvpbVoBdrV0eIWxxMVRfKFdGAE3O3GB0xpgj9Sm27NUCIWuCEAIhsuxm5qxIKdFGZa9JhLEVh75jeMPLh7ztFX0+/EVJlIiy6Cb3AhkFuckG/5hCk2cxgi5tQ1VhaytL7EWhq786O2ZFal/mqfoygVTUmmfjm4vtJLODq7XdWmelA2fXoBvZDQMc1/Cj3znJjZfrr2ya9hbqnkD99v/5f/JD77lpY7YlN67c2f7+ND7MsycTDp3XnF4RbLQDUm03+hGUQWWZhCnnkownafLvjbaYMVL2KscbhqsVgkUyJ/O+1bh7MgbuXHs7CanUfPa+Gv/29yY4seCXTQzF3UFIgS8hkKaYd+IUCatyY6nis+R6XJaD+YsptwKklBTbqojRIf12UpccTdzkTt34vRrQVm3W4nUz8j07pcAU3THjPzu6ARSgDdOthCsvTTizqDhyykEbUXHkyiVIFwkaUXTMlBfnqENUXJQjF2151Rc2f7X2Jg+uyS3TsbqT4neULlXejzA5kTK3qceurR02zfY5vxKzddMVNOtz/8tjTx995PWvvtPu0TO/MiTw4ZHjms8/2OLg6Ulk6jDTkFy7K+DK3Yp6YHcDrpatjpazjiVqcl1dsPRoIFlm4/J/oytMXtXho1OdpMhdkxLcsgC71d2um3JiRfLBTzc4dMyHRpbQye/yQvZWI3LEjDD0hZ07ZRxSzf5VCXy8FqXaYHAxQi9ZW48lfEoXRRagqLC5zpZ5LexSnskXUbEQhVYIYezUqyzojEPN/n0xP/rOLo8973FyOQN4Zv1Z5i6Z3GS1IgZRkSeVZE2FjVUeVGYfQ+tMm8vSI5cXSJYyvZ+X02pD8bvy42wniQlaDYcrL5FcvW/IzESKEUMePxQRyw1cZ8BkY4h998DWHTcyO1nn3hcldz+xxPaWYq4Jc3WBpxyGkSDwQYi8uKlSsnqxDOSYxr4Q2JW6lMprshJQiqprUnkuM2swfy5Hkjp2StVaV/CfPtzinqcCWyUoq7agAmGZthzkU0nkMCpJXsoWlGNfXzSwfKlAs0qCFQbLsyRFEZMZZUIrWbJlPwOwFKUWlxngdT5DUthpwNaPVlbHCkVK1ljeN7zm+pB/8r4O/+6PJlnvl26KRR65oU2qJWGmXrSwtmH+XvImCaktURiJnVtYObZGgM63WMk0+gVAF5TTarPg0giR1aSXzQ9Cgu9JothlbUPhiDrTEwPe8vI1kmAnA3k9km4J8H2XbKXZ2nLX2tJdv/6Ky4KfbzgRE01Fq2539/K8csnOZ/8pVfWmR3W3uAhjVzW4GNPfohJI2tf0KOiFppzLp0vmziWJsMytVMpQGH73003+8FNNuqlrW7Zyx2QssPRyuTWmvV8qe1ll6tH673xVt9tZV2PLv+lWTdOPLu0Vu7D6M9UCrIzlZCXwzJlbZtlOoWUWcJoM+PaujSJNDE035qfe1WVxVfGfP9xioEc+UMbkBnBIkYTaAtFgAz8ts/01MzBrYUdM5GyuK0F7Vg1QAfEY0PPvjwE9b8gG+3NpKoijlLW2xBiX1bZDq+6xZXaCuS39X991yxV3bZydB7JqyPe//zdoNOpxy4sv2zRpvqtZM0y1XFoNRashaNY0ga/xvXwP97LgyVFlS1dVZ5dtZKNau9q4IFU1cKym5ct/V5TBZn2WsgLw/J6Xw+Jqnjvq8b//8QSnl/wyFV9kLO2MQSkEgSTbxDXX3aX2dir+d+H1F8/Hi6VE8Xp1o6x8yGihvYvvVabmFmXEoyPsylqdcgLYaCUmI91QReArqxdkSTLVrbQLHZ4HxcZOg9o0lfLA8y6LyxIjRYHx0R+2OluTzaWs6LDq3FpbJVit467o87ELWWff12M6fXxzBW3KiYr5X9Ua4lQwCP//7b13mGRXee77W2unytVxuifnoNGMIspCQkiIbAMWxhiwuTYYDgYb2wdsDJjwHGPCNWBjMD7XIIwIlhECJJAQkgiKgBJCozg55+lcYYe1zh9rx+oeSWCBgHPX8+yurtDVVXu/+9vv935JMjYlODZd58i49cUH77n9zudc+rzMggNc9rLn4TolHnnoTh568H40No4FJTei5ClKbjxqL3X+kp02O+yePG7ldnbeeifKiBDFv8noTMK3Ew6ucpY8KljwhHdbTsQD213e9KE+Nm3x0I7M8e0s34RUFtQFy92re/dKg3Py8Z7KnexwZ3eejBXPE/JZPVNmyYUmGCIVKeeWCUWJ6YkUOu6CpRGJbBhrxybL0PBylYDf12xcFfCpv57g9R8QbNoaOycpbyAzvdhoJCEG5SqW8OyYplgYlUMSn+TCSILpAAPIqnyS/cwZyAAAPuZJREFUfZsETUX+RI+ttSDuQR53sVKmqCFSiiDSdHyFbQtabZ8znrGO8y48j3a7A7y9CPBA1LGcMvvGLWY6EQuGNK4T4TkKN97sOO8j68eXcFadsyi6B9A5S5IHNMWTIaUqPXq4lFGOqswNbtuJmNaST3+9wv0PeUR2j1MprNQsWiK22iIfoewJTpHp/EXnUsxpBXt18CebD55PJ53ldObrNHOmrWARc9o46BSDhpqIuDdgRltMQ/qEpmiTO44GobBDxSkndHnjb8/wNx93mA4FOD0fTiVW3UJLSaAFkYBICBwgShPVzH5WcYWPJQRC5+S+eF8WaCA9xgXRs++zHCc/MNq3Fxjhw7EkzWrI2uWClcvqtNsprDOAg4sUpa2O3djWrFdXNGszVErF0XoJIEnknOT4zbLUzAn0LK9D5T504miq+L7KrHiOg4tcpY4Belyd40S0lODyb1S56rtVulbiSNpFgJP0zTbGaVb5Wd5aSwpAPp4zKXI/eoFuHsvrKk8O5MmlPQlD5yU1BWkr47xF1zkAF4NBEqk1WkljrbUJpIhcMCjSEpRFJDRuGHLZs1s8ssvm8q/XmAkwIE+ALXPesDLOukLiY6Lfdnx1TIu0hXF8oxgTKrbgeWpljkM2ITl13ikainw3RUsmaorGjSd4DA82qNcGtnnlylatsp2aAnztykUc2H71jRef5Xzp6D71rtbkUYT0sKRKe04AacuCpEYwD3JZALkuWG3xOM9l91WRpqQOaJSpJiJRUkxP72lfcPl1VT7wmQaHx3rzTGKQSzPN1hbEPQbzEctcSmzBimScVdIDdvKWZrbFnvXYE6y8Q5nDtKEjkBbgZptOqUka+MklYaUJX4kVJ3lMZo5wnLMCVuqERmhGBkLe+UeToOFz36oxHZD1aVAaREJVzN8m4Atjax4KcGILbpOoKCIzJmSTkCWxMUGnQM/2aQZSpQWRhlAJglgTt6URCVyp6QQ+pb4aD+0ufekn/3Hbjf/jtS+ey4LDUH8Lq1y6/pGHoxeXBSfPa07TrHVwnS5CagLfZmKmRNf3CEKLSEnSmueYz6VglTr+MolqojI6k9/IvTahLrHFTnVwkVlukdO+hae55rsV/uHf6xwct2NwWzHXzt+aHVfk3r0psRk9mSUBJvQkD/ScRcm2n4V4zwF0co5VSk1mFz7MsuBKx1pyQl1mW/HUmicJWsL0uRHahPdjpZrQl4z2Kd75x1Mcm5J86boalMJcECix6Dq3WaljGSJSJcSKJb4kSJqMVMkbk1QtEQnQs/lCIj6nIi1oh4LpAGY6ISoIkUJi2za1smTRgMvosL5/JhTX+6Eq7NMCwO2+V3P1l993h9aNe9YsOHayHx3jMzcI/MgBAasX+Fx00jQgiLSXnr2Jl14Ad46G5Lk6ecuNoSvpyZFy89gBTRxLoRAxuBPubbmarXttvnBdlQNHHCjJNDuwuMmUmmSh+Nm5JkXnUvcAt4dz5+73epm92C5wcjGHFNiL8JwFJ59oFT+RBXrIPZekzBrnU8XWO528ICQilvIyJ1NnTiaxw5nwID9kdCjkVc9v8cOfumzb54BLEeTF0zJ+0kRyknrRKDEYyX4nb8kzSpIEhyRZpDiJNWgNgYLpAFrBDC94xjHWzA/QQtCJLL5y6wCh6qMirHu2bfrRHR//8N8dH+AAG9f1IYRk++4tfPkbVa69cwBHWKAFi0fa1LxDnLpSM9023zZNhhIqcxoT/iySIAOxM5Pwb52z+nnqolKqktxPaElGVSIsV7Ntv83ffarJ9+8tmQJKaXh2liVopZZFkKXC2nNkCx5POUkfk9nveVAnVruXahdOijzQe4Cc/J6ClnxPkp6TQPfIbD00RRe08CwSmDqdSf6KMJJc5nAaK46yUqFOCI3qaC46rcv73zTJuz/VYPt+AU6Y0ROtjbyRTJIVIrtqxvmwWifRVUjSzNMgWQ7YNskVNR6DqI10mxgMSwpUqDh3bZu/ukyzaLiE1grL9lm98DDff6CErC802V49axbAdeOF2Lblf+mKFj+8bzuLaw4lxxD7hldjxx6L0WYEaBw7SrtH5YMweS6dBUBimyQSRTQHcBkroQVermKgK4SMMpriaHYetnnPpxtcdVMFX8Q1dD1We7b1jhtoUrTa+UIMMQfQ50qeEnM8n57Ec5u5n2nlI5gk4M4pKnPSlERRyasrqXNJSleESpryGNVFpNJhQlkkWploZ8mOePklbSIF7/5kg12HHYMYYY6d6SsX/57MsxFxgk3SHja+TfNMYh2dhOal/o8BuyvAi1NnsQzHLlmapX2KVUMNxib6UKHAtiI8N+SZJ7R5zrlDDK+4yNcq5B/f9QQAj+QIfQO1t1985voTnM6xCycnZ3AcScmV9NdtdFTi4NEOA422abYjdK4O0vDjvMNIeuAThOQBnoE/BX4O4DIHcCkipA27jtj8zT83uPrmCr6IK5/F3NQk4d5ph6qC9dZzhtufMA8lsdp5a527c9yw/ZNCNrmwpYB8HvicwNZpUEToZCZlTE20zvFxnVpxoaVRU2LrnYI+cWeFZSy6loSRxiHi9y5tY1vwjn9usOsIyfiHTF0htuRJY5MkwUrEHk2exuV2jBbGGETCZEOGQhAI47CW46CgEODZmoGaQCqPB7e69Neh7MW4s+dxQuP0H8wbWPZ2ODZrl84C+AnL62x9+NtTZ290Htuz1Tl/r+VYJc+i7EmadUGtYqy3hjSrz4z/CFMZzziUidVOgqyJU6YL1+q8xyyE6ewicrQnteI27B+3eecnG1x9UwXfkpm1SAEtKVCTmHfnVZN0eCsUepMLcpHF+NMlztBcXDyvlmSHLTPnPwu+ixl1vVl2vQUPORkxpSG68HeJqmICOzKVB4s0xvD0pB2+EtL08lYaI+ZZSeoXNorLLm4TRvDX/9zkwFgC8vgT6zhbijgpvOCgiBwl670cUnidlhaRsGhLI15YCrycVjrTVhw8GtLq2pQ9Uy+sLS+SeyqPPbr35qnf/51LnhjgxAd6bHzmTbVa7YzlC7ungMS2oV5R1CshJS/CdUJcOzS3ro/nBDhWiJQRxA5mchC0SqGciufJGDiRB3saVlZFmmJBaEv+/ZoyV91Qxpd5h7IX2FlsO8kWTHu0kPPmc1Y6lQfTE66Xj8+u2BH5D583WHMdw+MBm1l0PPtFZODP8lFiq95T4ZPx7uK0ZFEolMhZcSXjhK0E/LJAUVRMPVLdPNLYaF7+3DaP7XD40GdrJpJp6exbGL5DZhIg7Ssx5zcnmSyVvT7O09e2Q8eyEZgZQyVb0Algum2ap/qh8aWElKxcVnqg2515k+NW5/xPcwJ8+drnceetV0Ynb1yib//hPmqeS60saNQC6tWAatmn7PmUvC61SodyuU0UBfiBRmhFUpSqNVQ9sMsaFQiiKIm65QCfAiFxSDNNXKBNjMYR3HiHx5XfqdBNesaRAzY5a05GTVLlhIx75/M2BHpOx/J40crj/t5LWZ4EuOc87Pk8jZ775J3QVEWB4gjCGNBxGD+11nHCVW9VUFIJpONWcCKVDrPqdaNqWWgV4SnNKy5tc/cjNt+5s2TwK3OnatIbQs/17XOnc6ghBNvVVDyVXb7iPORW6BC2S7RLJQQ2lhRmPE0sG2utqZWhvx7QGFygUe3o1S//7ScPcICRJWcz3Wpf+cjeR9esGWlVRwcjmjWfZq1Lo9qir96iUZvmyETAA7sV9z3s8sg2B5EEBdCoUHPaCT7rVgesXxzSPxAiAoEKBSrRkAo7IgM4JIKI4Ju3lXn7P9V5eIcLrtUD5rz1zix4fF5goQuqSXI/H9SZ5VySu50FXpG/+BaAXKCaFK3zbDQf5wV5hCN6AJyBPhvCm+s9kigrULDYxd/JwCsSmmMseL70TYjkSpFtIlJsWOHz0bdO8jZLc92tZWM9kj4S8RVmzi+lDLBFqOkfiDhhccDa1T6nrw9QoU6tvbDgoa0O9z9cZuuhKgfHGkQVDxUnpAtMMt/8IYvnPXNg5qQzT7vStsv8P8fZzY9rZG6+6bpyFLQeGT9wy5J5AwHNWoeBxgx99SkC1eKm+yyuub3Mg5vL7DzsMT5mJXsdtJk/ODwcsKA/4PSTupy4MuCiU7psWBWYwQP+cY68ME1ohC245tYSf/svdR7c5pokEpmAOCcFFlpAmFxvT5jNzbVfM2Vp+ezHpNiBeBRKljWY9XwRhftp67Xcc2lGoZRxxVJWzZOkhVpWsXVboR1HsqXjEXOVU4V2d1mllJRm6JbpOJBVQxVHuuSbJOk43UKlWZr5zgRJnr2VixrnC7ll4uhLhXRh0w6Hd3yiwTdvKWWRnJ6rssG7Bh9sW7FxdcCzTu6yflXAGRt95vdHzBuMw/7KyItawNExwZ4jgp9utvnm7VWuv7ePdlBnoOIwXFUMVGCgLnj1ZRfsajYq65773Be0j4fh41pwgDNPX8PMzDg/nPoui0YOUq8oIjXNDffAtbf3cdN9TQ5MlNHKRjoS2WcucegQVAgq4PC0zeFxh/t3eZTtiA3LfS45t8PvX9rhxOWB6bsRJWd+chYbk3vNrSX+9hN1HtzmGP0oFaVlejkrbsbsWmQj/wp6N3puzVsWncjZqknegie8PWfZe3yqgtWYg5cf37oXLWDB2cwnWsUmO4mcp3WQOU3cWOH8rJ9ei06qpKSWW+s4LSCLghJHO01NprlVgWbD8oAPvHkKDXzr1lL88XXxy0YglGL9yoBXXtrhOed22LAspGwrhJSEgU1rwk4nxUXKzPe0pGbVfM3K0ZALTp7m+fe3+fptU9zxwAA7x2scaQdcvMhheHQ5jUbz8SD8+ACv9c3r7js0+cajreVfsa09VaxpPnVtmc98a5jx6Sq2ZTFYEzjSHIxQQVdBR9kEkYLIB+EbyxuFtEOLux6x2LTN5cbbSjz/gg6ve1mbJfNClB8TAGEKWq+/vcQ7PlHjoW2O4RqJ5JS5hbOpChn3Tq6caUIP2fmRpu3mATunMtLbGjk3jiT1LwWJpvtkOffxqEsByLr4eBrZzDmNyZvl866NvxfzaBWXlKW6eFbWlqcrvV2jhKVTbp7einguEBqpIrQPG1cEfOgtUygF19/hZTkOGvBh8WjEH7+0xQsu6LBhWUDZ0ahAEgUOYWQTKpsosglDhyB0CCKbMLJQkZEPLUtTcgNefJbPhRtn+Ny3u3zya/MIwjKXnLN0ZrAp3ljrn9/9uQF+8OCU6htYfdcLLmZyfNePq5+9WfKpa+ZjK4fFTSjZcViduJQ/EnRCwVQomMSii2veSCUkOAQL2hHc/ZjHg9tstu2xec0L21xwuk/JMlTthjtd3vbxGg9vd7LUv1mWugfkOeudD8fnw/IpqGdp3Ho29xZFy1yw5KJ4mwf8rBc/GdjnQvYFVSUGIKI4vnpWuL/gXObuFxSVvBaeWGhy0cweCbFgyY1+rjGBHK2VuYoEcOKKgI+8dQqt4cY7PSI0ZUtz/nk+f/DCDi+7uEPFitAhhF3LDFhQNlG8BaGDH7j4vkMncPH9GOTxsCwpFZ4TUiv7vO4FM/jBGF+7rcS6E58zuX7tsruOjk2ox9u1jwvwkZF5gH1k67buZbdsedb3//P6nzgLKjbNssK1NLaVHQiloRtoZrrGwgZKEGgLpROQJwdfpC2q2wq+ckOZ793t8A9vmebFl3S4616Xv/xonUd32rHlTkBSJAiZLpdZbxGfRzZ5WlKsr8zyYuZWTQoqCccL+Ig58dwrJeY/+XFwnd3OEaIvgjmvh+ccR4walNZspspLz+uZbbGTeEavoqKVRBeseBJ2j51RzONo0AGsXxbysb+c4i0fEdx9r8OLLunywbdMMTwY4SiFCoinwRkaYgBuwG7mfFp0ApeZlker49ANbJOtGu8D2zLFNo1KlZedP8kFZ58YQPsyy60fKVcrj2s7HhfgQjj89KEd9DXX7B2dp7aduGjH2qA7Q7Vskx8QqrXJB+4ExhK2gjjxioQT2KSetNS56hCNrwX7Dlv8z3+qs+uA5MobSjy23TbJPXOCO0eckQU0Snq4N/niZgoWfK6GPsUuVrOLGwrA7fnbwn7Lvab3sVkgT+ICCThTBUZkIEpjB0XrnBREJApdwsmLQR0yhUQUZcK0hjOXblvYREJ74hMiUQKTbxRfMnQIa5eHfPQvpvjP75T4s99tMW9IoQNzVcnmCuXArSwibaVdAKLIYrrtMTbp0vYtVJQ1uzcg13iOS19ziNNOO33b0MiqvTMTO2n0Lfv5AQ4gpcUPbrl9Z73eeP2F55xwy0Ob7qNR89BogkATRUlLW9NGy7JC9k7CtC/iRknC/JvE8CoFQmVHMs7EPHl1yElrIh7aGrFpi5P5nLMiLD0WPPYQBfkstblBXLDkJB9pDoue/7c5rj0b0HM4mnObiifazUXQxz9maeK93JwiTSnw8ZSS6PRkKfQ6pId7kwG3YOXjhKkk71AkuSU6KeiIVS8t+OkWm58+anP/ZpuLB7tIy4hp5j2tuCusRaRslJImXwtN2Q1odwIOj9kcOOoSRtn+CkMIQnOtcSzFWQvX4/vh6x97+M6dK1ad/IT78gkBvmHdYlqtFuVyef9Pf1K6tSa3P9MW03R8hwNHBR1fx6OVBZWS4rT1Hfo2T3LV7VX8oAzSSH5a2CalTCgQkdmdASwZjDjr1C7vfeM061eHLB6KuPUnDnsO2rm8pZzFLgA926TIstJEj2KSnhK9XHuuLfl38LjUpXjeiexjpWh/kkgWRUAnpjpmEFlgJ1YoEtqR5J9kKSG56GbKxTNFxeSn5OmILoI4jm4mGYDp4+nJI3LPSRNwib+vtDS7Dlh85IoK9z/gsmWvxXvfKDjnFJ8l/SGqGxct5GlKbOAcOyKIOnzvpxY//qmiUYpMGN6RWFLQDRSHjoVMt0NGh2ucX1tz65JVZ+/vdNqUy5Un3MVPKvWtUqlweO8dWxbOL/3zcy5cwMJ5e9l7dJzJGfNh+huC0SHF8oU+zz59mje/5BAbF01AoHEtqFjgWQJpxVo1AnzN6kUB737zJJ94+yTrFgfQ1qxZGvKXr2nRV1emPKQXEQXPL7HkuVxiZlfmzGqgOZdzSR7UpgkkMPsCktMBe+lLei7m7z4O1ucK0+dzxPOdoorWOWHesRWPg4FJ5LvIq80JknDaQiP9gpM6e1NapFfnLKuoB0AWjE1JPnZFlc07HSjBozsd/uzDTd7/yTqb99rYjtkxSlmEkXEsw8Ahikxz/s17Qz59jccP7hfs3N/l4FGfscmAjq9p1iIWjo6z5dAkdt9qQir//K2bfrTlyYAbnoQFT9bw/FGQzbv6qiu//rUf7H7JDT/az8krFKODmoGGYrDpM2+gRV99hh1HNBMdF9sWNG2NJzWhFkwJaCmJ9mHlQp+/e+MEl13cMupJYA5QtaT4nee0uf0eh6/ebIEdk8ocxAquW84ZTEBeqJAnA/PjVswfz+mMQT37JMnMff7ESMAgZyVcFe8lKdSpg5lY3JzlLsiGIgdedM9zvSVtiVSYP0l6clLyKkkM3YSLJ2mtGV2J21ql3yPLjMEW3HSXx1dvLNNqm25KGsGhYxZfvM6i68N73zDF0nmKdsfCD4xqopRAWqZbQ9UL6KsHbN8Pe8cEkYqIlMa2JPURwdkbOyxevgxq676+bMWKu46OTT5Z2D55gAtrJYcP7945NHTJn+85vN1avTh88YIhxWBTMdTXZbivzfzBCTbtaPH3V/Sx/UCD4So0XYVrmR1udwWtNqxY0Oa9rzvGZc/q4CpJGCSWTqN9zZK+iBdd2OXGuz0mZ0SuBjD/gTKQJ/w63xMk5dh5EFO07EWrnRw+UaA2qViTP6d6ToI8rykUNjyZlQNvPqUjfyLkncuMNuiUpmjdA/hUOel5HXpOdYU8VSHh5xk9Mp8j4/jmq2qkBRMTkm/9oMTuMSsuGUxyXAWdCK76ng1S8p4/mmG4IWh3S8y0PbQW2HYEWrJ4OOSdrxnjXZ8rsX1PP6BRWiFFwJ6DNsP9Czn/xPnXDq0868/99p5dp65b8qR3r/WkXwl85CMf40UvetHEyScs2djnHXvmQPUwC4YD5vW3GB2eYMfBKd75mQo/fmSY/qrLcEXRLClqZU2tZADVqM3wrj84zGXPCpDKJgxttLYKR1Vamv4+zSNbHB7dlvT0niM9NmnDJuKcb5llD6bz5ZOwuMhC46mEmL+fC8XP+ZggbeojRFYJnrU/SAp7k9eL+FiLNEe7NzOx94ox6yqR5JX1nKRzZTmK5P8VTsB824ssNVnmHzteYbgsPp9WbaWF4ApZgm//uMS//leNiRk7S6VICr5th1C7PLqjwuEJyfpl0Gr1c3SiQifVu00bizWLAk5cMcGPHnPYcaiM1BCGiqmZgGb/MtaeeOHVE2N7rl6zZv3PAtknb8GTtWr5fKqNhR8q88iKvbu2vGJB/yEGmj7bDrT423+vc8/meQzVXebVFH1lRdUTlD1ByRWsWWxx+nqbi06q0W65CGFyyZOyNEsKIEL4EUvnhVx2aZsfPeRxYNwiiRmZVSTGabYgc1ATeg/0HBJfL2AKfyt6QGPATP7vk49EXlfJOZ89PD2xgjCbhxfkwph+iHzRsci9R/L3CfVQ5txPklZnB4OIq+6zwE4S3cwc2KxwOS1c6FHzhdBYtmb/YclXvlNm16F8wXe+XNABxybA4vq7G1g64vRVNWoVSdlTVEoRXd8ijCRKC05fMc4//sk+3vqvis17+hjvKs5aX8GpLbxy7dqTP7R5256fFa4/e31V/9Aiju65ZmLdKcv+6Jt3Wbc53jR7jk7wP/+tyX1bRpjXcJlfjxisKvpqgv66ZLDPZv6wx5olDvMHKoxPNZmaqeL7HkHoEkVOPDzJjm8lSFgwEjFYV3ED9hwUEkqQA1+hM2weoHNx6p7XzMoi7OHnvfSEucDfC+Qnw1MSkGqKjiRFPp1PhyVHLZKpBrPlwkRDFgXAFh1K4qzEuEVyjzRoPk7Cx+dIL5BwdNpi/wHbJEulbTqSNnkuWB625TJQkoxULA4ddnlsF+w5JDk0ZnN0wmFs0mNssszR8RoHjwxw8jKPj79hP8tGDuPIgFc+r32bstb+0b994bqJtasX/8wA/5ktOMD8Fb/Ntq33tN7y2lf7Ox75N9792XEe2DaP+X0Ww9WIZgUaZUm9IqmWLepVm2ZN0Fc3hRBd38b3bCwrSqt/jEKiQdkINKqtOe8En7NP7fLgbjeriupZgpxyQgbYWfkmKU8v3s9f4tNqnh7ApmCeQz0RhT/IPVc4GY+Pb5G7UwiixFHGwolAD5hFLAPqpM4y32Iia/OWJGSp+IQsWmkdV96TpnJnQM8CPfnPkEwgvuNel9seck3aZiFl2fRgF1JSsqBiaUq2CfpMTAdYFoShTRBKglAQRskmCZVkw9IJPvrGo1z+nfnMX/oaf+Fy1TrztBf+PFD9+QAOsHzFKpRSP/7uD599ztZ9PyyP1hWjdUWzAvWKoFa2qFVtahWLRhWaVW2qgVyTlknOmiid9LAGZEikLYRSeJWQNUsDamXFtN9rRwy6kvB8b4V83vHMP5514TqOalJwLsUsa56pJzmWlOG7iGpRpCxPjPJe8CYWOolCYiiFzGUN5svRcjkrBWqSxNXyVCcvCcbUBDLrL3PBoPxK2vRNtQWbdzkEHcu0qC6kLmfDvax4/0TaRLqnWmbMjFaYMH1oZkCFYQZypQQbl5d41+tPa9fmrflxqtn+MgEuRJNj4+13XnLhpfraW/b9xeGdm0vDTZtaRVItWVTLFrWK6U7bqEY0qxGNakCl7OO5AY5tgJ5YlCgZlxH7+UooiCJedG6XK68PuXdLXNGdD9eb2FoWjSSz6HPRjdTai9kO3RNV9qTMI31MpLcZ2nus/OPhOicT5gGdBAcL9CUH9jgHKaeqzLbcaRptrLYUS9vyEc18QCenm5P/vajLC0zr7Md2WHzrds948Cm4nYymxH/X1dCOBF4gcLvx+G2h0DpEaU2kTIP9ILToBsJw8jCkf3hpZ/3q539cWta7hPXkNO+nFOAAA31l9e5PXPPejWvnB/5g+2/a00dd27YoeZJqWVKvQKMa0aiGNKoBjaopcauWuniubyhKmh8R8w9hGyurzGjqekXhOj2WO3XeRI/l7mkd3AO04ykXcwWCpMg7l3MoIAmme06AHNaL9x8H5MnveS18lkUWPR2uRN4Sz2XR42gniXNJbl+TWm6THpTn5Rlvz4CeaOHZF/NDyWQr36IjN2Qgtrhaa7oRTGiItBX/N5OJqOIaUNMp1iYMLTq+xdgUSG+l7+t5H5489J2/71/0qsfNFvyFAhzgtEXKr1RHPnjoQNffvavz/ukZX5ZLkmZV06gpmtWARs2nUe3SqLZp1lo06zPYrk8USmZaZbq+g9YSqSUaU7UvhQItUZEi30yxF0FxReasCKYBr+6hF7PpSfJ+RZoijmvFE45cVF0yVSVjJ7nHHmclzp7oseBaFIGcfyy1xCJviZkNdLIIp8iBOr1qKJG9B+Tau812UNPPmzsE0spx73jukRWPRI80RGGEbnfpRhG+5dKuunQiSahU2gJZRYabo8EPBI7jKV+Pvv/IzPKPbtk76fPfXP9tgL/0pS/h2zfc0F6ydMXXkd777rnnLgb7XJr1iP56ENdxthlotmhUp9h7tMvnv+sy7ddYMS/goo0aSzr4gWVaUCiBQGFJC61kpocVqIm5LXaoSqz23Omws6z0HK8pvDYF9dxFD70OZ+H1P8d+zIM5GeVBDnw6oR1kdCWlLLnclAzoomjtgTyFkSmVydOUuYqSE0uenWiFa2OSLSptXCmpWBpXQjsUOGWf555zkJUjAdNdyTd+3GD34SbTvsf8SBEqTRRpNCGWFIwOwjPOOE0PzVvwdb/bbV/63Bf/HHvyKQY4wMDgQhp9g5uR5TeVXP2v00fvk0PNLv31Ls1am/7mNPuOzvDF71p88fsL2HekRhRanHPCDIsHOow0Syg0nhPiuSLutxLGl8WI1G4UpYs4NK8LLZDnmqkjE+eSucL0T2C9RfHxjNJkVjy/BLmT4HE0w7xvmf6eKCnxA0qTjcuJo4pS5JOtyELtOaqSPKfiFiV5ypKE4ot8PN9mIi8r5umMzFGXZCUpyzaWlNQsTd3RlG2NcmFoAF5+YYkz19lEyuf3Lj7ClT+Y4rp7Bth9qEk3kgSRIoxMDeiFzzxTrV69+k0rVy7dfPDgkacCmk8NwM98xgY2b9niX3D+GZ+5584tlZla6WOeOMhwf0B/Y4oHd3b4i0/1s3XPANL2mFcWNPsUddFk02MD+EtCmrUuutI1xbRWiFaWCd3onh0aZxUmLdkSilIAL0V6UpAI57LYPSfD8az3nBy88FxMS3r2z5wWPUdNEpCnWnhCV6BAIfLcuZj6muPcecs9x6bi1m0iBbJGkfQ4zOWGk+SmxBU8SqClzHHx+APG0WVXCsqWoupo6p6mWYFVi6q0W1V27OvQqLaZ39/ir18xxe9csIe3frLLQ9sHaQU2Ax2feSODHBrnr1auOe0zO3Zsi5YvX/erA3CA1atWsXv//mjpCS/Y+sCm4an21Ffr3Wg7375b8cErh3lszyDzaxbDVUVfRdNXE4wMWHRDh/FpgWNHOHaEa4coV6YzW2Tc4KW3HXIiD+bnyCfRzDxYzeHQs4CZWO9eLfzxrHdeQSnKiHNNfsjVb/aAfJZzmUEmfawAeHqoSQro2VzcWPPcawupszAXX0+LH+jh3zkLbsaEy/RWK1LfKDE2rqXxbE3V0zSrEtuW7D9iA5KBus1M26Wv7rJmwQT/8uYjfOQrHe54qJ9lSwb5sz86e+qkk87eOj62N1q+fOVTBcunDuAAll1mqNm69qJzz/rTO+/2P/6BL39z4JvfnaEtGixpSKOTV6FeFjSqNtWyZRySSBCERuRXMR80bQ0Vh8YlM90kUpaNIym2ZOvRv/Pt2J6AY9P7+PHAznGUFDLQz8XBeylMIYswB/z0fo43pxMdMMBNYmFZAUNMQzBdF9CYWhIrkwrzVT5F6TCb75M5m3OlzMazfrQiUhJLSaJIUvU0w30Re46YTy4FWWsO26iHKtJMt+DYhE0UCbqBxA8sokiyYr7gn948zh0PNmmOXnRs0dJnvvWBR1vXnnZi+amE5FML8AXDfQBs2T11xaJlF9vPOV9+aPPeG4b37PaZ34B5fYJ6RVL2LMqeRcm1sC1zqUsz2DCkUUiF7UR847YSj+71zF6TDggr7ULqiJ4MwjmBOkcQiEwGlL2AJveauOfJXGm2heQpOXciVYbyHJJ7lk5/xPdjU66U+f8mnE7cziHON5ExJ1cgZC8HF7nx37OteOZg5vJRepzLpBuWEKZJp+krLlHCpFMEgc3aBR1ecn6L+x5pGAqjM6AnV6NQaTq+ZrIlCSOLdlfS9S2UBtfp0NYNTjn1dw+vXvesv4bgigWjI08puJ9ygCdr1eI6Wh+9/A9+5xy5Zdfef7h+4t7h0X7B6KBLpWwh4+Y8jk3a1CYbBmUkQtcNOTKh2bzHw49ccI0MJaWIm/roWbnf+QLjzLrq2dY7dv6Pq7KIJDOvmDE4WxYsjvnLgGzQnJ8KMTeycydA/Fj+YW2U0piLZ/QknY1J0t+EFNB5i530LOy14lnPlDyw5+p3aLZIGWoohEZGFmHoUC6FrFoU0N/sMuaHhI5DpJOhtPF7RJowVLQ7kq4PE9MwOWMThGU8t0b/wlMOz9jPecdPtkSXn7q6/xcBxZ8tXfZnWe9734eRg+feJygfXtAMLuivdMprllqsWOgjRMixSZuSK6iUoFqOqJYiKuWQSsmnUupQr7a47sc2/35NP5PdGrglLGlTklBOZ8sXRwHKpCNU+ns+5TVLjbUsMUcabTbfUsRdq7K02Wz+pcxZ6VlpsRStOD10htzzKbB7LX3v3YRG5V+QPiay/yPNE7OkzDl8j1mbnOvET4fTZD/jeky0wLZhqBmwebfgoe1lcFxKlqRsazwHPAdKrsTzLGoVyb4jAVv3Bcy0NGEkGRxaduyEVSNvG/IevnzpstN+UTD8xQEc4PvXf5k3/OHLfrpotL57xWJ96fz+rV65OsYdmyRT0y7NmqRe0dTKEdVKQK3sUy116G9M88D2kP/1uT4e3NOHdis4tk01Ttxxk+GzItcDpacNWgpgqxfss8Ft5R/Lt1tLAJ22Z8tZdJnL8Z6LoiBmcf18bkoe9IV0lF6Q506GBGhzBalg9mdIrjLMAepsbHlutOMcV7QE2CbpKvaRMGm2jZpi4UiXB7bY7D1SwXEtyhaUHI3nCMquoFq2mD8kaNQnuG/bDPuORSxdtHRq/vylf3p4zPvi+lN/d1ai4lO5fiEUJb9OXqvUvIHqlZu2Doe33b/6P75/95bSzITLhsUms9C2wHUUnhvhuQGVcodQd/nGHWVu2TSA8KqUHZuqZRrKWPmDmwdPhqEct549zWGudhHZAY15uSxSklmFDjng5+mL+TwZlyd327vSnHCd3mSNBJLvQMbFVVz2LqWhDyiT9JTSkmQ2j86cUdFLPZSINfWs4r7YLkLnPl9yXxBpAcrM3JGRFU/ZkwgB566f5sXnTvLwrirT3T5mHEE9EAQhBFHctBPNmes0S0fH8eXG7nR36HWP7Kp81XNn/lth+F8JgK8/7ff4m498JRpoLv3q4ZaMGnX3C8HkrlK1JCm7UPYiyl5IxQuoVTrYdovPXe/w6WuHEV6NumfRcDQlS5nCHswBTaZv9ZZ4JUjPX5IzJ7FnZHbPY7N08Bz/ljlnMhnJPctixla7oIWL4++bfJA2iVTmM/STVg5axaoE5L3OTBlRAiV12o0jK27INO+kP0oyBUIpskkQOe6ffSbziybra5KQFiu0iBxTGS8EvO5FMxyePMwVN7iMd2rUHEHFV3R9TddXTLctWm2bjWvXd4eXvXrKqSy5Q4UzUX//8C8afr94gAN88G0v5/2f+HJUPuHUq59R1X/QXiA/Z0UHK82aolYOqVd9mrUWnjvNF24UvPvyecwEffSVLfpcTdUxdZ2JqhCG0I0EUUSWLJQUwuYAWhhXJ+YqHO5RUaAIYpHo8LkopiyWn8kc9y3o5MdbmrgFRP4xkYJJqNz76ITrm8ZKlohBLgGVzGYgBXs6yiSpw0wSreIELFPNk/wPnTbdkbkih4S2JDOWTGGFkffCyEJrgWUpnCBrsdasad772hk0B/nijRZHWmXKjqbsabypkJIL7RVrWqEYeG2lf9mtCO+wip5aOfB46xfKwfPre9d/lddc+kze+odTD7U6I9sXDEWXeNZEqVHzGRmYolqZ4D+/F/Gezw8xHQzQV7EZKikanqbmaSoelFzwbDOvvBVIA/L42p5ve5y0H7YlcavhGJhW5owmDmW+7jK5nz0uMl6eOpqiwOUTkPfWZfZuGb5znKR3iUQ2LLiUheeT95rtTPbq87nU3RzhN4/PHtuStme2FJalsONbKTUai3bHZbrt0vFtgiCmKUnwR0kqHjzzpGmOzgRs2lLCVzZl21xBhuYtmBgcWviGy966/crnnn5sevnyE/UH/tf7fim4+6UBHOCb13yVCy58Fc88XW/q62vuq9ZHLqh6Bytb9+3nSzdJPnzVEK2gj/6Kw7yyoq9kipWrHlTLglpZUvEEtgXjfsSeKUmIAVUaZEg2Kyk8NqqJnXc8Rd6ZLDqWGbBFzgEtbkkRcdIXXOQoS142FL2AjNdcEcskOpk+H4fL51oF4WWu/yVFxv1FTgvJKzp5SpaoT5bCtrQZ3+6EeG5AtdxlfEqw/2id8akSna5NEJlp11GUgNy0Pa6U4KKTp/FKHQ5OgGXP4+LzTzta6Zv/1oNTpS9e9uwKv/WSV/4yIffLoSj5dfFzfx8AvzP2+RHp2hMHvQ++/wvR8E13RCjbplayDLjLiooLZVdQiguXy55FpWSxcJ5PZB3kX77psudoE4SDJ3tSOXOWOgW3KII7r4XneXoxmCMKqklyAqTPk1Ms5vi++TxvIXIgTlJge16XsBeRjP8T2YlTaE0iyGgHGdc2vbyJJ/xlvcDTv819SmPJBTKt7TRvKmWEY4dUyy32j/tcfkMJ7dssGLSolAXVkqLsSXxPGrBHZudblsJ1JH9wseSkFS672ucefuULL/obPwg/PzKv75cNNeBpAHiy3FI/4xNTn3WaLxQveNbAPyztv3n40cP7ueuBBkNVTb0sKLng2oKyJ6mULRpVm8E+wbqlgvXLNZY8wvu+IGn7/YS2QU9appZSFVEAeeYcZnKesWg9wI5bzmXWXBSoSy+Xn4t2J6BWeVCTzwvRxUimLp6keUurtembHicVFpYQ+YGwvXkrxqFEmkEDOnfJEEKabgZJF6v4n0uhKXsBQdTh09f0cdX3htiwUKOikIGmQ1CVaYmZH0i6fhy+L3f41l0lRLSS33resw+/YPm579Bafday+54umD19AAfoa9aZmW595rIXnBVeeJr+2PfvuLZ/9w4Y6Tc1nToupi2XLGoVm2ZNMlCPcJwQx7E5YQn0l3xmJo0zlFi6hIfbUuBYhofnAzfJ6rW+vc6nmc5WBLdliYLFzwOxdyUgS4xvEeA6dQDRc5CR9OoQRx1FlixFPCkmcUhlLpKZEPw82MG0ais8noJZEElJZCnzmlzPwKMzmkd3VAgDhzCKGJ8KsS2BFDYivgR2fcnEtM10y6JcqrHjSINTNzx3rDHvzLf5vv0fpXLp6YTY0wtwgGqtgtatK7zyKccW7di88rUvq394/857ndEhxfZ9EccmbDxXUilJahVNrRJRdk0flSBKyrIyvdtK+Hd+szOuLKAoi5GX50QKrMSKp9zbKgaEevNWUmwlbxrfT3RqrXJ6t9YolYx7iR3P3tB9zFnM+8cglyIFbPpSI1HHw6eytNr8/NV8JmEkQCiBJU33KCFMzollydhxzNJtpQBpa0Kg7UOro5hpR7iOxHUsmlXFkSnF5l2KkaZg6coLg42r228/+4xTtrZD51v1hvd0w+vpBziAEBW1+bFHrz1x4yvcecM7Wp0N8lN33X+HeGRPIEcbLmVPUvag7CnKXkTJC3A9H8cNkZZJtneExpbxZoFjCRwbXEdgW1kUUmmIVMxTYxClZWEwWyqMlRhbivhKkDlm+WDOnA5hkvOdNMeMX6jTz6ALzuVcb5CeSNJYe6lkyq8hCfyYEyhtvptcWWRStiaIlFGfkjxzKUE5pkusEBLb0kS2qWqPdNy/OxToIKATKFqBoN1VdLqKdjfCc0374zVLxtg3VlLzFp+ny421b/7989d+bs++Q/68gYGnG1Zm/zzdHyBZq9esxRVH/SWLRq44beOi9UeDDX83f2QJQ32a/gZ4jsa1DTdsVLso1WbTDpujnTKeI/EscCyTdOhY4DgG3J4jKLmSkifxXIljGwczcb6UKo4HIR8Aiqej2ZbJvchvjmWSxWyrV55M6FHxKpJYfa1NT/Uo0oTxZuoTY6seb1FczhWGmiBOWgpDTRgposjUMqrI6OM67o2UfIVC1FZmmncQCjpdQbsr6PiSbtdQjCA0zmIQxm0cQouO71D1bNYtbyHsLuNtQdsXBJEmCDXHJkL2HAzpay7hFc9f9XelxtL1tcbgFfdt2u0vXfbU5XP/d9evhAVP1tDoWoD2ez/+tcf+v9tO/OBHf++gW3P2v3Pnrm3W2ITNUJ+mXgnw3Bm+dBN8+MuDBEGZwYrGi3NUXMs4pp4t8FxJyZG4rsSOuXPXV/iBIggNuGV8ikuRhMpFmk2YcHc7AbPMRv3l2Uihq1RKKTL6orShR8aKaoJQEYQmjE1OiUmuCHknNF3ClKtZVq4IWEhkJEhKVxPrLJKrmW1yTJQS+CExsM3/ciyIXNDINEnNtiRuaBEEFu2OQ1+9xNt+b5qZ6DBXf38BE23JcGTiEb4GUVkazUSjf/+sC6MPrty6KxpZdf7TDaFZ61cK4Ml671tfyvduuja66JLffc++Q0fsvZO3/pXV2uTVKkcolya5+taAv//SMJOdPmpli4qtcG2NY4NjJ9TEWOySZ1H2jAV3bE0YCo5OhYzPmNC/E88BslSRKiTcO7HExlob+mPSe7O00kiZXJEkNJ4lcZEmMUWRjgs7DI9NcktMg9Bc7gsZhTE8nVjxMK9TWqOthFpgHEQl0gOZNM60LI3nKFzHBG26gc2hYxZBCI4tKXmCSCU0R2JZGjuw8G2F79r4ocN0u0yjCu951SQSixvvHKbtuyxZ2M+lzz6xu2zN+f9Yq4285+qvfYOXvfS3n27YzLl+JQEOcNElL2bf4Un6S9E7X/5bF8lDB1ecM77nKnnLI61z3v8Fx7ZlHyuHBN0wwhLCWG+HeBOGnrimuKJWEdQrmkYtYnRghvv2BOw4Wmakrqhpk8DlWKQKgozVE1saauLaxCeQjqtVdFz8Kwgj8APTFi2NFsbAdRxw4pOv7JlBSg/tUIxNGCvo2CKlVcLKIo+JExqE2qQj6Ow9bUugbUO4pdBEli4MbEpOGsfWeG5ErRww2Nfi4GTIjx8dZEEf1CuSMDJdfWXsWziWwLEEvm1oilKCmY7D+FSZZq3N237nGH21oXDnnsE7L7r4t9TyNSvubHesd2o1hpD9Tzdcjrt+ZQEOsGC4kfz6jr/6x6/jumfXJyZm/vc5J+36XdE6IFctmGTLkYiHtpVwHUHZBc8ROLbEcQQl1wQm6lVNfz1iuK/L0vkToH0OTJeoOhLHUji2jmW0xDmLrbeVcG1tfABHxxYxvvRrQbcrTbux0OTGmICSmU7sWDruohoyf7CNW5pm53iV8aNl5vcrKp5pGC+lCcwkzisIdGhmIHUCY8WlANsSOLZOqZCUAivKg1ykipJtmQzNatlnqG8C4QZsPTKAjeH3GvOejmXj2uDbEss3n99zLVw74P7tis07+jjzxEHWrVqj3vuGRVfZbu1PVHTvlFc95emGx5Nav9IAz69//KuXcM8D26fK5dJbdu7cu+XRh+7fcPLKQy/5/HU/4UFl0ah4NKum6YwJPUtcR1ApaeqViGbNp6/eplZpYUkIQ003bvqYUAEdc2cD7hjgjsZzNZ5nphF4jsJzopTfdn2LqX0lWu2Y28aOp5BmfLXnGCvaV28z7U8x7TscbVVoVMCSCtuSOLahJ5YlsG2ThuoHcGRS44fmapFcSbwoCSDFo7otgRUVnUwRj/Z2LIXrhDh2CDpkpqM4NiNwbRXTLonnasrxPuh0LfzAcPL5KmLH/i4HZlaC1//1yvCGTW7f6D8Ffmeq1L/m6YbDk16/NgAHOH3jcoAjU2N7333hWeuWhq272Xyk/yV7D21huNll6QLJA9sVrtTUKwZsFc8UVDSqPvVqh0qphW2XAUGoTAemLCnZOJjJDHrbNpTHcxVlV1EumdRek97r43ld7tts8+COQUq2TbkkKXvGBxDojCo4JtfdtgK0UnQCQTcQhK6hIibN1lx5yiWLSgkWDoeM+W3u3uxRt02Rb8XVRK6IT0Qdt9gQKFuiItNkE5JAVdy03oql0EgR+AFj7RIVJ8KNKUy1bKG1RdnTWFaHnzxms2BQMzwwnw0nrWFh97Svn3rGurceGZ/eOTD6s7cvfrrXrxXAk1XvX4hW+3ZSXf+2kzbUrliyYOOft8e3XdBwf8zNmzoMOB5CmLKpalnRrBlpcaDR4pFdEfc+WjaSSK5+EPLyYOJYGlpSisFdLQVUyyYBqb8+w84jLT729XmUVciqUUU/DpZlUYqMomK4vMKyFbYVIWWE0KajU6CEcSQTfm0JXEdSLQsGm4qVi3xO33CIP/1knZ0HBxiNhJEHY+3eZP+ZzxhF2ji6ue8i4gxBgcYPLU5fE7Jm2SSbdxtq5jmKkmcUJa0tyqUQyz7CQ/vmc9LGU1m4avUtynL/KXBX//RIJ9z58/Tm/lVYv5YABxByAcAWrfUWYNPDD+j5CxYM/tuLdu1edf89j1hKGQWhvx4wb2CGvvo0Us7wxZs9dh5q4JVELMnlpbishM1UGkHJMdSk4oVUyz61Spd6tYXjTvDV2yo8urvGxlFNq6uodBUlz4oDKlmVuSWU6bUYVyuYYFOWo5JcNWxbUHI11VKEYytWLZS84plH+eCVHgfbNZJhUObqEFdDxdp4qGQ2OS2/o7QgCGwWDdm86pJx3nF5k70zJSJtTo6+mkLpCD9wWb7smdHvv3ztlqGKfMOy1efsBx573Nz2X4P1awvwZMUH4DGtdz4Whuq5zzxjaOFF55x91e233dYYaeyvNusHOTgxjVcKsO2AHzw4iOuVKFsQJIGSpLAgH9yxwbMVJTeiUjLgrle61Cpt+upTfOE78PlvDlDxbASRGViaBGGUlYI3X4OWNI7vTT9JIosmoGT0azS0Oy5//KJJdh85yOXXORzCw8TgVayomHK/MJSxFReZsxlfPWw7IoxsplsNzl0/hWd3cFyLxkCXw9MOi2mwetWSmTPOOm8yijqXDS0Z3SuEtfPXHdjJ+rUHeLKEWIrWaufZZy7bfWxs6sSyJ84eHQj+945dD9W+cPWOvlOX7OPsDbup2CXWDioCHbBnHOqha5yyNFdcpAqI62g8L6JSCqhXuzTrM9Qq02h3hsf21Zlqewx6WdKUSvTwvMNH1rclWb3534W0gFyuS6Qk9ZJk7YIWXjTJTLvBAeUhkDhWhGtD4JpIZ+IoR9o0UtIaXCeiXJ5k/+EGvl+jG8GCJpy33uZVL6hMbT688djyxSfZi4bl6xcsXP5D26lOaFDyNwTc8BsEcDDpn4CaHN8/tnjR/Buq3a8tW33ia/7wXYun/3L/1u/4N95znxiuyXVr1lilE5cf5nsPTvDjB+aZSc2uxLJEGqq3bY3rKipeZMBdm6ITTnPv/REP73a5/g6PQCqSASwqBnmhyDf5XD0tK3vzqvI56UmpWNLISCl4wXkd9o0dYtPOGX6ytZ/D7Tq2ZVGyI/xAEIXZ/0w6SAWBxLZ8vv0jzffvrnLBKfM4eU2t85ev4JFQnOOcdPozrvizV776//33D3/B6x+sd/bun1TLltae7kP4lK/fKIAnq9E3H0BNtyJsKT/ruf7llmUzMnKm9YeX9X1qsB6sqdoPnv/QgUetWtlmoCGolRVd30T9wMKxoeRGVMsBfbUW927u8B83N7j93j6Wz5/gzy6b4Mu3TPLw9nI2IytXoTN75SvWe1+T8Jg82DWuHfLDhwRX3zbIqy5t89bLOvzgJwf47E0+Dzw6RM0VVEvGgoPpRyJFyOFjCtuyWaI8hDPIyPx10eIVa28bWOg+dnrf2Jvu2iQjy6pw8xf/S4+MLm493cfrF7l+IwGerFolrchL8BTqaPxPkKX+vQc2fODQt77lzhs8GJ11Sv00YYen33zHAZzpNv11RckVlL2AeqXD0ek2n/5WjR/cN8L6hZLXPlfzovOgvznNmz4+gNa2ydyb68qeSHYimTms0q4Acy0VJ08hwLJ9PnVNgzvvH6HTUrz+hYrnPeMIpdI47zhY4VirTNWLKHtGN29UAhaOarYdHKGjK/d4JXnvK5/ftKbkS/2uWvy3ktbY2g0mePbGP366j84vZ/1GA3yuJaw+gDHgfwDs3PwDLCkv2H1k+lLfXnWZq/21CwYDms4mamWBJUPueijinkcrrBuB9QsFE5NDbNntIfUBtAqR0jYpuVbcQjlJvEqSn6RGOhHCjRCBJgo1UVJzmSucMDkoIq55FFgyIqTJqlGL/lKZR3dK0Ip1C/Zw4pJx7nnQI9AlOtrhpJPWsWF1mZEh/Whlf+2qscm+7zx6VN1y4nkXAu98unf707b+rwN471q6+kKAWw4ePnbLihXcGoXhSh2OqbFdj6pydcXyam3gb6p7tnDeKYMMO4fxu5McOApjE4pOV2IJRcnRVEsS1xZpqivEZWZAyQlpd3127tcsWdBi85EOnaAcd78y9CQpg2t3NRPTgoGGRRSZiKgrfWolzdiEZs/RUZYuX8TZJ4VsPGE9Bw6Of/DAoSPbzzrrXLls8YC0bWvr6FJuKFV+NfKxn+71fz3AkzUyPABwQ3K/PXMIIUt9yt9+55JFkjNOqgdnrt3wF9O+fo6ONGsXd3hk23X0NSqMDDisWuKAEOza38G1faJIMT4t6K+H+GGLf73K4e6Hq7zupZMsX3KAL39nFD+wcG1BEIRYAob6HA6NOXR8weiQoBs2mT/YxzkXXcKJK2xA4QelG2XpyMcWLwycRYtPYsPqxbfMtDvjSxbOe7p34a/k+v8BfpxVrs4DGAeuARg7dgDgkYmZaCQMtRpudth58BbKJZdqRdLfdOl2/eCkk09/70Ct86IjkxOB5XoMjiq8xjGcpsfJG+osGO3y3P4ZxrtVBksup6zRlL1JZjqjzgkrK9/8r2/c+17bKTsKF6VLNGsVzjhtA4tHbCKlZLtbOqgF21912ejTvYt+LdZvjuD5K7Cu/fZtaMSIp480H9lzVDfLZc5YB7XaBDfcXUFGdU5YotHWODffa9NwXM5Yr6hVx9hzaJE4bcPQhFIcXLTivKf7q/zGrP8DVP1vWlT6jhMAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTk6MzQ6NDYrMDA6MDAu6TO8AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE5OjM0OjQ2KzAwOjAwX7SLAAAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 55197787
{'hecke_orbit_code': 45035996340815024, 'n': 1, 'trace_an': 1}
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id: 55197788
{'hecke_orbit_code': 45035996340815024, 'n': 2, 'trace_an': 0}
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id: 55197789
{'hecke_orbit_code': 45035996340815024, 'n': 3, 'trace_an': -3}
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id: 55197790
{'hecke_orbit_code': 45035996340815024, 'n': 4, 'trace_an': 0}
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id: 55197791
{'hecke_orbit_code': 45035996340815024, 'n': 5, 'trace_an': 0}
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id: 55197792
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