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mf_newforms • Show schema
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{'Nk2': 468, 'analytic_conductor': 1.4168973746735438, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': -1, 'char_values': [52, 12, [27, 41], [12, 11]], 'cm_discs': [], 'conrey_index': 33, 'conrey_indexes': [33, 37, 41, 45], 'dim': 8, 'field_disc': 44991500544, 'field_disc_factorization': [[2, 8], [3, 6], [491, 2]], 'field_poly': [9409, 0, -3674, 0, 555, 0, -38, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 687245099060, 'hecke_ring_generator_nbound': 9, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 13, 6, -1, 12, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '52.3.k.a', 'level': 52, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'minimal_twist': '52.3.k.a', 'nf_label': '8.0.44991500544.1', 'prim_orbit_index': 6, 'qexp_display': 'q+(\\beta _{1}-\\beta _{4}+\\beta _{5})q^{3}+(-\\beta _{2}+\\beta _{4}-\\beta _{5}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '2.2.3.c12', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '52.3.k', 'trace_display': [0, 0, 6, 4], 'trace_hash': 2010667169414447564, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '7.780', 'prec': 17}, {'__RealLiteral__': 0, 'data': '4.813', 'prec': 17}, {'__RealLiteral__': 0, 'data': '188.267', 'prec': 24}, {'__RealLiteral__': 0, 'data': '347.807', 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mf_hecke_cc • Show schema
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-
mf_newspaces • Show schema
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{'Nk2': 468, 'analytic_conductor': 1.4168973746735438, 'char_conductor': 13, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 12, 'char_parity': -1, 'char_values': [52, 12, [27, 41], [12, 11]], 'conrey_index': 33, 'cusp_dim': 44, 'dim': 8, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [], 'hecke_orbit_code': 687245099060, 'hecke_orbit_dims': [8], 'label': '52.3.k', 'level': 52, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 13], 'level_radical': 26, 'mf_dim': 68, 'mf_new_dim': 8, 'num_forms': 1, 'prim_orbit_index': 6, 'relative_dim': 2, 'sturm_bound': 21, 'trace_bound': 0, 'trace_display': [0, 0, 6, 4], 'traces': [8, 0, 0, 0, 6, 0, 4, 0, -6, 0, 24, 0, 18, 0, -60, 0, -54, 0, -50, 0, -54, 0, -24, 0, 0, 0, 36, 0, 108, 0, 176, 0, 114, 0, -30, 0, 104, 0, 120, 0, -168, 0, -198, 0, 6, 0, -96, 0, -162, 0, 0, 0, -72, 0, 126, 0, 318, 0, 0, 0, -18, 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0, 1668, 0, 0, 0, -3708, 0, 64, 0, 5058, 0, 2088, 0, -310, 0, 1596, 0], 'weight': 3, 'weight_parity': -1}
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mf_twists_cc • Show schema
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id: 8506617
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687245099060, 'target_is_minimal': True, 'target_label': '52.3.k.a.37.1', 'target_level': 52, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 3}
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id: 8506618
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 37, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507379248923092, 'target_is_minimal': False, 'target_label': '468.3.cd.b.37.2', 'target_level': 468, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 8506619
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 193, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18016391424639184, 'target_is_minimal': False, 'target_label': '208.3.bd.e.193.2', 'target_level': 208, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 8506620
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511211249304228, 'target_is_minimal': False, 'target_label': '676.3.g.d.577.4', 'target_level': 676, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '13.2', 'twisting_conrey_index': 2, 'weight': 3}
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id: 8506621
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 13511211249304228, 'target_is_minimal': False, 'target_label': '676.3.g.d.437.4', 'target_level': 676, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 3}
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id: 8506622
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 45, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687245099060, 'target_is_minimal': True, 'target_label': '52.3.k.a.45.1', 'target_level': 52, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '13.6', 'twisting_conrey_index': 6, 'weight': 3}
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id: 8506623
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 437, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007611621933732, 'target_is_minimal': False, 'target_label': '676.3.g.c.437.4', 'target_level': 676, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 3}
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id: 8506624
{'conductor': 13, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 577, 'target_dim': 8, 'target_embedding_index': 4, 'target_hecke_orbit_code': 9007611621933732, 'target_is_minimal': False, 'target_label': '676.3.g.c.577.4', 'target_level': 676, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '13.11', 'twisting_conrey_index': 11, 'weight': 3}
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id: 8506625
{'conductor': 39, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 253, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4507379248923092, 'target_is_minimal': False, 'target_label': '468.3.cd.b.253.2', 'target_level': 468, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '39.32', 'twisting_conrey_index': 32, 'weight': 3}
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id: 8506626
{'conductor': 52, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 37, 'source_dim': 8, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687245099060, 'source_is_minimal': True, 'source_label': '52.3.k.a.37.1', 'source_level': 52, 'target_conrey_index': 97, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18016391424639184, 'target_is_minimal': False, 'target_label': '208.3.bd.e.97.2', 'target_level': 208, 'twist_class_label': '52.3.k.a.37.1', 'twist_class_level': 52, 'twisting_char_label': '52.19', 'twisting_conrey_index': 19, 'weight': 3}
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mf_hecke_charpolys • Show schema
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id: 177900
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 687245099060, 'p': 2}
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id: 177901
{'charpoly_factorization': [[[6084, 468, 1674, -126, 363, -12, 21, 0, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 3}
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id: 177902
{'charpoly_factorization': [[[6084, 3744, 1152, -828, 573, 114, 18, -6, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 5}
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id: 177903
{'charpoly_factorization': [[[1936, -10736, 19124, -10616, 3397, -754, 89, -4, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 7}
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id: 177904
{'charpoly_factorization': [[[16451136, 17765280, 4015368, -629316, 71025, -7062, 429, -24, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 11}
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id: 177905
{'charpoly_factorization': [[[815730721, -86882562, 6883201, -408642, 46644, -2418, 241, -18, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 13}
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id: 177906
{'charpoly_factorization': [[[229613409, -200474190, 55525842, 2460780, -218697, -10044, 786, 54, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 17}
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id: 177907
{'charpoly_factorization': [[[64609444, -39177212, 12063638, -2452274, 124075, 33488, 1703, 50, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 19}
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id: 177908
{'charpoly_factorization': [[[96160769604, 22600562436, 2221787898, 106043310, 1844067, -34920, -1263, 24, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 23}
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id: 177909
{'charpoly_factorization': [[[69062263209, -15323167476, 2348109270, -176584464, 9455943, -315600, 7662, -108, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 29}
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id: 177910
{'charpoly_factorization': [[[206628430096, -56278659712, 7664210432, -575188672, 27096136, -807584, 15488, -176, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 31}
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id: 177911
{'charpoly_factorization': [[[45522062881, -11722796896, 1113304166, -66182536, 4603387, -195368, 5402, -104, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 37}
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id: 177912
{'charpoly_factorization': [[[60225577281, 17045127504, 2939655510, 329051736, 20293035, 627288, 12810, 168, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 41}
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id: 177913
{'charpoly_factorization': [[[67422688721424, 4120970083632, 78121724940, -356833836, -24407163, 140778, 13779, 198, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 43}
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id: 177914
{'charpoly_factorization': [[[351853021584, -331246226304, 155923149312, 3407567616, 37303272, -37152, 4608, 96, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 47}
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id: 177915
{'charpoly_factorization': [[[-613164, -387396, -7695, 36, 1], 2]], 'hecke_orbit_code': 687245099060, 'p': 53}
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id: 177916
{'charpoly_factorization': [[[48466826323344, 415202467680, -82121776236, -307767780, 40957341, -192030, 12153, 0, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 59}
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id: 177917
{'charpoly_factorization': [[[5645219185089, 703851712146, 71776198602, 2078031600, 52947327, 471408, 7050, 18, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 61}
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id: 177918
{'charpoly_factorization': [[[178293048380164, 8993351555692, 346182461198, 15270449050, 415234219, 6012620, 54287, 326, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 67}
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id: 177919
{'charpoly_factorization': [[[59610474691524, -5595791170140, 106441424910, 1058279310, 44630403, 1004112, 12975, 162, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 71}
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id: 177920
{'charpoly_factorization': [[[574467612546916, -10971616399040, 104772108800, 1744878388, 32041141, -418654, 4802, 98, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 73}
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id: 177921
{'charpoly_factorization': [[[11795424, 1018032, -12948, -96, 1], 2]], 'hecke_orbit_code': 687245099060, 'p': 79}
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id: 177922
{'charpoly_factorization': [[[246401334374976, -24947584605504, 1262943602208, -38309030928, 760127604, -9889368, 83232, -408, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 83}
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id: 177923
{'charpoly_factorization': [[[26147207272356, 1539828834156, 166498802622, 4182300126, 157508979, 445872, -20865, -54, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 89}
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id: 177924
{'charpoly_factorization': [[[151521790564, -15919873684, 1703518382, -133028194, 7825699, -385424, 12239, -182, 1], 1]], 'hecke_orbit_code': 687245099060, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '52.3.k.a', 'level': 52, 'portrait': 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4a5yZTlTkBnIBgmHit9waZJw1LbcPKCoub5bJqBbfMRG2eHbJgN2TQbsm2jZccmxZXbPeqqybGTEzzwjM9jBxOeOhGTqi5vemmbt91mqatZDp6Y4thZzZmLKeczcB9etNx49QK/8J4Vts9NcvbiFBdXaiy1PZbbkpVuSref0hsKDh5b5OCp9pVPHl542dHTF3cdP7PwxVu+6x3RvV/60283JL6lr7/RDL680qY/tHia9977xNHbfv43Pi3fcfOh2/7Z20/pxdWNLLcnWFptsNT2WWprltqw3E5ZbscsraacX4UjS4L5uVX+3Q8scdPlDU5dmOHsxSZnFzUXliznFxNOL6Rc7CZMzQx5ybU9br4CfFknUAEXlmucW9ScXxb0Q0gSQ803NGsp05MJBjhxPqHTg50bPZr1EGsFCJ/ewLBjU8jSqgbrpMhqD8IELJbldsTWDR7dgUIoizAhEzWPHZuHrPYFJ85qUqOZnZC0aoLAgyQR9EPJ+WXJuSXLhZWEIBiCl3DLVT1uu1owP1FnaWWCUxcCzi7ChcWEC8sJZ5bhyJLlRVct8ks/sMKmqQlOnp/h/FKdhRWfxbZkeTVlpROz0klZ7loWu4LTHVhZ7vLr/zxKvvc1jfvqG37E+K0r7lMy/VdxEhDUJr7dUHner7+xDP6RP/okt958Az/zL//FL//RJ+/857/9x1+9dP/J1V2Hz3blS67pcslmQ5pqrFVY69gbKwEJCISwaGHxJZxdqvPQYcm1e5a5YvuQRg08LfE9he9rmnVJw5P0ex4Hjtf48mM+Jy6GdJKYA6dCNs4u8+aXrHDtpV1edEWb44sJi31BIxhy9Kyl3WlyzSWS1WHKvuOKVkPz7Am4bItlGKUMUx+tY6ZbsP9UgNIpnkzQHgxCyU1X9Bn0JddemtIZpJw422L3JkWzEbEaWjZM9Vnpdfj4nfDEsZSnjg3ZuWWJ6/Z2mJ6JeOMtXb7n5ZY9m1qk8RTHzkxy5LTHqfOG0xdjTl9MOXJRcHI15gWXL/DvfqDLxqkpTp2f4cJSg4VVn6W2ZKWd0u7GrPZSVnqW5R5c6CuWOwk3XrHIT71lQdY9u2vx4rHdg0HyYq++p15vTn/l4fv+nN/+4B9/uyGz7tffSAb/k49/ir2XblUPP374/zp24vzPP/zUcXV+OWJxqDnXN1y78wK//hMLXL+nwYWlaZbaDZbbNZbbHssdzUoXVtopK52E5W7CYhtOrQh0fcitVy/z7pdH7N7QZLU3wcXlOgvLPottwXLbSYSVrqEzMHRCS3+YMDsRs2OjAQSBZzl90UPIgJ0bFLu3WLZs6HNhJeTJQy1eeJmlUV/hmcMztJoRUeQxO20YDOHKHUM+eucUe7cnhKFlblISpwNatYBnjw+pe02uvzzhqaMRF5Z8ts4G7N4MOzZFKBVzehF8zyKEZefGhOmWpDsI6PU9On2P5Y5ieRWW2obldspiO+V8G5aGKTu29nj3Kxa59QpNzZvg3OIEiys1Flc1yx3BStuw2o1Z6aas9ixLPTjfVVxYTbhp73ne9xNLXLa1yVJ7gtVuQHcwiQguS73apl/WtUt+KY3Opi995d/9dkNnzdffKIAfPHiQWr1WP3P69I7HnnjmXcdPnP0PBw6fZhhJukNYGQgu9hVnuwkvuuQ8v/YTy1x3SZ2LK9MsrTZY6dRY7nisdDQrHWh3DavdhJVuwnLHcqEtONuzIHq87aVt3niT4ZLNNaKowUq7xmrPp91VrPQE3b5gGFqixJKmoKQl8KAeWKYmLBtmYrQ35Mi5iKcPB5ikyetfHKG9VR7dN8muzfCFhxJeek3AxfaAmlYkaczMNCSxh/YSlpYavOSGDl+4v8XuzfDIoRCPBq+7yZCIAU8fSTl2uoaWPhunNdNNQT0Q+L5ACUgMRLFlGEG3b1ntGbp9w2rfsNSzDNKUndv6vPHmNm+7LQLTYml1kovLdae3O5qVNqx2U9q9hNUM3Mt9ONdRLHRSXnT5Bd73Exe5amedxZUpVroN2r2ATtdjpSMImttoTGz8N5u2XvGnW7duPRmGw8Fll+39dkOp+PobA/CTxw8xNzfnHzl65IcOHDz8/oceelwsrfTkMLL0h4be0NIZwOpAcnEgOdeNuenSi/zqjy5xw6U1FlenWFptstIJWO36rHQ1q11Bu2tp91JWuwntnmGlZ7nYFZxrG6an+nzXi7rcckXCzo2KibpHp1sj8CSgiBKJMQJjoT8EhGG6NeTQGYuxEXc80iTs17l0q8+t1/aJzSp3PzbF9Zd5HDrfo70ywc3X9vnKowEbZyz7Tlj+8Vs77DsesHFG8uXHFLdeqVjudzh6aobrL4+4++kBSdjglqt89mwfMkh6fOlRBangyGnNREOjBfQHEmMFqbHECSAN2je0e5ZmK2b75pDbruzzXS9MmG3WuLA8ydJqnZWOOzcrHUG7B+1uQruX0O6ltPuW5b7kfFew2E148d4FfvlHF7hud42F1UlWuw06vYBO36fb13T7kt5AkNia2XXJNXbn7j0/tWfPpR9eXFyIrrzibwbI/0YAPIoSGQ4Hb37w3tsvTdL4fY888qjXHcAwsgyGSQZwB/LuQNAeCC4OJGfbCbdceZH3/ugCL9zjs9qZZGGlRbtXY7Xrs9rTtLuKdh+6PUunn9DppfQGhnbfstATLPQgTkOuu2zAppmUXt/yhptDdm0yJKlES0sUw11P1jh5scbm6YRnjtTANLhim+KGvYag1ufRQ30WFptcvavJxNQK9z/lceNlNZb6q6ysTLBpk+WhfYq/96oeD+/TbNvgsdhrs7I8ww1X9rn/mZSZ+hRXX9rjYrvNQ89NUddNXrTXcvmOIcgeTx4TbJiJubAQc/eTHsNYISWkxrJrc8R33RzR7Sm2TBtuuAyiqMFyu8FyO2C159HpK9o9SacHnX5Kp+fckk7fsNq3LA8kZzqC9iDk1ssX+KUfWeFFl7mbo92t0+kHdPse3YGm21f0hpL+QLh/qxtzwwtvjD3f+5m3/903HW406n+ptGe+3dj6tmcyw7BPmvZ/4PTxR3/94oVDM6vLS9RrEpsFiliLLe5DZwEKYZHSIqXm4YMb+Vcf1Lz11mW+91XL7N4acX5pgsCvUw98GoFHs67p1iWtgcdkU9MfpvQGKRtDwyC0dIcByws1Tp+yRInhzPmEILCAwFcWLQX9gULgkfQ1L9gl2LPFsmNrnzDtcvvDiv2Hp3ntCwNuuHKFj9xu8UWDXVv7PHW/YuuUYm6iT03ViWKPi11o1jTbNgqe2B9xw+V1Xn79Ir//uQG+1+I1L7Z4QZ+vPhTxhQebPHesziVbGuzanDI/HbF7LuaaXSlKGbSygKURBMxPBUSxR7fv88whz5UoDBwQewPoDS29vvvbu4OU3sDSGVhWB7DQV1xYsTQm2/z06xf4u7eGXHdJk3OLE7R7NboFuBW97N/sDwX90BLGlsTAPfc97M3Ozf76zOzG5Ze95KZ/1un2f3+i1fjfF+BR1EfAj5w9cf97jx+4c8aEXQLfx+IA7oCtQaQIQAiQwnXSKGlRMsWXkqcOzfP4wSaHzl7krbf1uO2qIVOtCZbbDZqdGhMDn15fu4szlAyGmn6oGYaWYWSIYkscW5LUHVHiYw1IJfC0oOYLplqC6RZsmjNs29hnbrrNFx+Frz/uIc0kr32hxwuu6HLvczHRcIJbXyBoDwZcXGpyy+WGuak+dR0wTBQLnRhlBC+4XNNohTx2oMbLbpjk5uu6PHZAgZ3khVf5/PCblvnKExFffrjJvpM1dswrNs3UmW41mGxBPQBPW5QEY2HfMUGaCuJEECUQxri/MUwZhIZhaOgPDf3Q0BtAJ4SFnuRiF0Iz5NXXL/Pm29p8/2sMSTLB+cUmnV6N7sCnN/DoDRTdgXLAHgoGoWUwdP+uiwUMBw+f5eS522c6/eQ/vfW7X6673f4HW99GkH/bAJ7Ei0gR//Dima+9d+HknRsUfSZaAYPQUNb3SAQCIRRCCKQkAzcoZdHK4ilD3RMs9ut87M5tfPXxDi+9ZpX3vHqVa3b3mJ1qsLTaoDsI6A+8DNjKHZEgjCVxIkgSt9S72i0XVGoNNR8adcNMK2brhj4JPQ6difn43TWOnmoyFdS58SrNLdd2eOhgmzsemODFl9XYsbnPR+8UKBEw0YpZ7YUYC0rA/ESfTtfHJHXe/NKLfOwLDfZcqPHGF/eJ4iXufnqWOK1x01UbeOONHS7b3uarj/V56lSDJ4/5bJuRzEwIGoHA99xNKAUIYTEWjLHESXazxo5hh5FhGMEggu5QsBIKlrsg9JDr967ynu9a5aVXpcxO1FnpNGh363T7Ab2hR29QrgT9UDIYQj+7cYbDlEFkMrKA2CiWzrf50J98ZUN7IN77PX/nJfbU+dXf275p6n8PgHdP/Tox8/QufOYH46j/vs7CM3NadGnW6wiROKbGsTUChJAIIRBCoqRGyhSlRLY8GzxlCbSlrgUrQ8VSe5pP3NXkwWd63HrdKu95zSrX72kzm9ZJkoD+sEZv4DEINVGsiBNJkkpSIzBWuCyosAS+oVFLCPwI3ws5sxTyuUckh0/7HDs9jTIBezb7XLlb8cIrOqhggaePtNg61eDqS2DT/ArLnQmu2SpJjOWLDweEfclUM+F1Nw35y7tjTp5vsfdSj3OrQ5496rF94zTX7V7g3qe63P+sIIx8rtg9wxXbA67Y1uXIuWUOn4GH9zc4dLRJQwsCLWkGlpoHUrpzZ627WZMUogSiVNALBZ2hoBNDZBKMHfKiyzq857s6vPSalM0zAcPhJEvtGt1eQG/o0x9oekNFf6gYhILBUDIIXd/oMEydxx86cA8i42KmCMJUcf5cm9/+2Nc2PHXk4vsaE40ENn3E2nOiN8S26v/rQr//pQD/l+/9f2hue5xT+6/+/po49t+i/okpaRW1Wg1LDDgWcodCCBxbS4FSAq1U9mjQKsXTAl8bfM8SeJaGnzJVE3RDj5XONJ/8+gR3Pjlk43Sfd72izRXbhwwHPa7ebdm+SRHGHmlapvkFFikNnk45ccFy7LxgdWD47L0NzixOYyOP6Zpiy6xm5ybNJVvh6j0djFzkd/6yyfLyJC++QnP1njZffVIgEo8N05JmI6Ef+0grwUqU9mkPBReWBVfZBq94YZf7HquzZc7nxVfP8A/ftMiHv9Dl4QNNekOPpdUWu7fU2bu5z02Xd3n7y7qcXV7ms/cGLPUDTpzzOHPGx1MCKd2qZ6wlNRAbS5oYpmdjrr2qTxjGXLE95B2vCNkwqZhpBcRxjXMLNfoDn37oVrlBAWzpwB0KhiFuJQhThpEhjFLH3LHNQA6DWNCPBJHRHDnXZv9nHpy7evfsr33tga/8G+CHscOv/6/E3P8ygP/s+z7G3/3ud4t/+LMfeOeG5rO/+66XPt64erdPt18HIQvWduDOtLZ0UkFKiZISrQRaZY9a4OkUXwt8z1DzLPXY0ogsk7WU6bqgH0m6UZNjp5v86h/PgEkQScILr+2ze1NEkoCxBmtdEkcKgVQC7fkcOOmz73CNZk3T8iVzDcH8rGTDjGbLvGLn5pS9O1dJxRK/8ekJTpyc4sWXe1yxK2WQdHng6YCpusfspGWqFdGoOylkjKQ9VCz3LEvtlHavzkuuXuWRfX32n1RMTdS46aopfvTNS/zmZ+Cxw016A8tqV3NheYJNcw02TA/ZOTvkX7yzz0SjzVPH4MApiedZlLIIYQDr/mchSWDXppRbr0lIY484CbC2wTDyOL/oMwjdijaMVCHfBpFgGAqGkWPtMHJZ2TA0hJFhGJvsvfxw4B7Egm4kWI0FncSSDoYMe0/ORytL89HF3bsfffKf3nPu8Aft5kt/5G8PwH/p1z/G3m1T6uOf+oO3HT29+pEPP7Bae3L/BL/6j1bZuyNFK4MUBiEMUvhIaVHSQymLkgqlVKa3JZ52mtP3FKEnCSNDEKWEsaUeG8LYEEWWiQTC2BAmECWCYSwJ04A4rbH/cJMn90NqLQ7aTht7Enzlaj5aAVy9GSbqMNmUTLcUs1OaDTOwY1PI5vlVYrvMb3x6kiNHJ7nhEsUl2yR7tq3wtWcTLixN8sLdkukJQ80fEMgAqwRJKhHWkqQRK70aF5Y8briizgsu73LvYzU2TgsatRY3XG746bct8d8+Y3j2TIvVnmG1q1hY0cxNNZmeqDM9MclEI2a+GbPzhojAS/B0glIpUrhgwuJuqjhWXFzQxIkiThRRrAjj7DGShLEkjCTDSBJGwgWokSCMLGHkzmsYpURRpulj9/4wgmEsGMbQz8C9Ekt6UYoZ9nnBrhXe++OLvGTPBVYW1e/s2f5bg150+adPPPcH6c6rfuA7H+CHn/sv7Nl1Vn3hrnPvOHFq8Pv3PnWqRr3F7Q9ZPA2/9GOrXLmti5IpUhkHbmWyw0NJi6csnlZ42uJFEt8T7iJ4gtBXRLEDehxboiR1rkhSOVJIUkuaGlKD09uGAty5FNISPA8CLagFgkYgaTYUkw3J9KRgw0zCzk19Ws1VPn1fxN1Pz7C6OMG1OxQ7N3tctn1IKlb54sMNmp5mflrRagx5+gg8d1RzzXZLP1Rcd1nMtXss58+lLKz4DIYNXn9jl3ueGnDojKJZlwT+BNdcYvilH1zirmcH/OVdcyx1LDs3pKy0NVMTismmR6vh0axbaoEh8A2BTtHKSS2ZtVZai0tYGUFiJEkqSBJBnEiiRBDHkjB2zksUC6LYEkUQxilRbIgqxBHG1cOBe5CBuxNL2jH0wxgZ97lh1zK/+GPLvP4mQ7vXIh4cqHXT2h8+eNj8g0ePNP7sV37zA+nP/eOf+M4G+Me+sEkKEX5vp3f4t5547mJtuhbQTiCkxV/cL4lCxTte2eGdr+4xPZHSlQYt00xnOz3saY0XawKtGHqOaUJPEvmCKBbu4sSKOIEols5BSErbL0kNaerchdRmTknmluTujJJO9vhaEPiSWiBp1gUTDctUy7BxJmR+uktiV/nEPZIPf2GWDbUa1+4Q7NjssWuLYefmFT79gGV5ucYVmxTTE9BqxFw4Lrm4EuDvhjAWzE9Kpqbg0DHLSsdwfrHGZbtqvOqFXT739RqzLQh8HyWnuGaP4MfeeBFPXuQv7p3muTM1NnZiNkwlTDYVrbqiUZfUA03gQ+CB1s5hkgKkqIAcd2OnBtJUkKRkQIc4tUQJxHHqSCE2RPljbDLbMXdlMgsycZKkFws6iaQbG6JhxGTQ4d2vX+Kdr+jxmhug02syDAPi1KffOVCb9NLf/dE3XK4bteaf/Jzjme9MgP/2hz9DaswP3vPg0V+7/8mlCSF8WtoihKAtPELR4osPKx54tsa5lSX+8dv7TE8khEGNTr+GVj6e9vC0hx+lRJ7Gj5w0iWKXSneMIxwTZayUJBCnkKbOSTDGBVzG2LyHMwO3A7gLXAWedgCpBdCoGVr1hKlWwvzUgLnpVe7bH/GHd9Q5cGyKXZMeezbBtk0+2zbC3h0d+kmHh/ZNUFce89OKqRZMtUKmJxN8XyOEu7kGoc9yJ2a1b2n3Ei6u+OzY1OLmKy5yx8N9DpyZoBHEeMpHiEn2bFX8/dcs8qK9F/nDO1o89MwUSz3NhomEqUZCoyap1xSBJwg8iee5WEUpMvvQodzieliNoQB6kppsdcusxcSQpA7cSQxRYssjdq7MMHGk0o8FnUTQTWA4TDDJgNl6h5/6nmX+z+/r0Qh82t0GwzAgin2iRFPzJXvmzkxEveZv1GvX+Eee+fSH91zztu88gC8tt1FS/sgHPvyp9548eXp2fgKixBAmwjkjQtARmoFsshpqfu1PPfYdWeHNL+vxiuu7bJyL6HbqDMIA30sIfI8w0gS+s/dygMexJErcshsnmaedkll/ZMwtMZYS3C5JmTE3aOUSJr5nqfmGei2hVUuYngjZPNfhQrvP+z/r8cVHZlheaXLpvGDHBsHWDT7bNgh2bxmi/VU+drfm6Kkml2+UTLckk80UKUPOLFgCLZECrBVEsWbnhg4Pk9LpK1Y6lgvLdS7fVuPtr2jzZ1/1OX4hwNMxQngY2yROJC/cvcLO7+vwxcf6fPSLMzx6vMnWacFcM6VZS6n5gsAT+J6LVbTCBc5SFLlgi7vJjMU5LakDfA7yJHWSzoEdotTVukR58igRDBLoJpJuAoPIkPZDts11efkNK7zlZX3ecKNBiwYrq3XC2CeKvexQxLEmjBVhfHbWb+x+3xUveLuKhu0P+rX/ORO3/qcAvNNu4/veP/zcF+9+75NPPbvB1xYpReaIgEotSgo8KehJQVfWaEeaj32txl1Pdbnhig7f95o+b3xxm9mpgMEwYBD6BJ5HlHhEsS4CpSRRxKkkSSRxKkgSSZoKUiNKrW0EhSqxeUbUJYtUlizyPUPgp9SDhFY9ZG6qxyAe8NWnLR//2iQPPTPFtO9xzVbL5hnJxlmfLfOSbRsjLtm6wlPHB3z2nnkmlWZ+UjDRFEw0Ytr9lC88UKPlO3fIWBiEmjffGvL5B11NTLtnuLii2bahxVtv6/HQ/i77Dvk0gwQlhQO5aTCMnNb/+69qc/nmi3zsrg73PzfFyZU6myYEkzVLwzfUtMH3QCtHJi5BluUWMqibTKoZU65wSQZ0RxAQp4I4zYCdCoaJoJ8Ieiku5okimvU+b33tMt/7mg4vvDxl47THYNik0wsKYIeRV1wvR0yKKJKcOnFgg/QfeO/uvS81nU7nQxMTf/2NE3+tAF9ZXeXUuQ7dofmBR+659z9/+St3zva7q9QDSZzkaXaLlqCFOzwJgYSu9Oh7itOdgLMPNnjw6R5/dm2Xd7xqwOtuHTIz5ROFAWHiTlqcaOIM6EmqSNIsYZOWADc2Y25TJhZyG1JJV8ehtcH3UgI/ph5EtOoDUgZ85THJH985xTPHJhFxwK5py+Ypy9yUYn7GZ9OcZMt8zI5NHU4tdPnAXzZJwjrbtgmmWpqJJkw0YoQX0Rk0mWo5aWYtxIlkJlAkJqEb+3T7KSsdxZmFOldd0uLH/84q7/uTgBMLTbSKsxtDkyQ1hpFk02zACy/tcO0lPZ49cYaPf63OHY9OcbZdpxkoWj40PYuvLZ4CLV06X4jR6joDWONuutQIUgtJKpx/ngqi1CWJBqlgkMIgsSRJgolDZmsDXv/qVd716i4vvSZmsu4RxU1W2gFh7BMnumTtJE+qOUPAxUmKXrvDxeW7N8SJ+M8vuOGFSTo88QfDZJpm66+Pzf9aAT4YDNi1bfItX73r4d/888/eMTEcdKgFiiixhd6V0qKSjEGlRacWTwp8Zaingr7y6Seai2GNv3iwyd3P9Lnpyz3+j+/pcuWODhumFBMNnWk6jyQpQZ7mADcSYyXWOklgi4AyS/Ur64JYnRD4CZ6K6AxiFjox//XTNY5dnOaxfVNY4zNbF2yYs8xNCmYnFLNTHhtnJZtmE7bO95mdWuGLjxsefW6Ka7cJpluSVkMy0TA06xHCCwkCjVbu91sLaSoZhJrBMCYxgu7A0O1Zljse55cmuGVvj5uvWuVjX65RX1Zo6ZJgxmqS1CeKXY/n3FSNF+3p8aJLezz88rOcWJD84R1TXFxtcHopwFeSpifwcxkmXeBZEHkuVXBMnlhBYiA2gjCFYQKRsZAmkMRIFbJlesC1O931uPHKlIm6JkmatLsO2EkGbAfm3JaURIkq5GQcSxcrGUE07HDg2a/O1gL5m5t33LiSxP3P/nVi8q8N4E8+vZ/Nmzapj338Ty999rkDE+GwjedpjHHoEuAqABOBEjYDN+hU4CmLn1hqqaChBAMl6OuAQeqxFNW549FJ7ntuQDMI+QdvaLNtNmHXlgG3XN1FC9ciJoSTKy4r6Wqlra0wNxYhLUo4z9ySgEx49pjkkf2azz3U4tmTLaKkQUsr5uuWmaZlumGdDz6hmZnUzE4JNs0kbJkfsHl+hbufCfmdz21g85RmfgImmoqJpqDVSKgHIfcdVAwjjdd0J8FaQZRIalpx/eUDHnx6yhU+DVJWOx6LqwEXFqf58Tde4PTiEg8+MY8nARFjoABQGEl6A810q8bURJObL+/z8mv7fN8rF9h/yvD5h2o8tL/OwaNNEqEJQ0U/Vqii9KEaeGY5AWtIjMUagydSJv2IGjE339Bj9+Yh2+Zi3vO6kLovadY9oqhBu+tnK6nOCEcVXnsO7jVHKohjZ1UiJBcXenz9ngcmtmxbuPS73/wOtXD+UDq/6bK/OQDft+85tm2d9x948OEf6vbCX7twYYFG3cMaSDOMSWGRqcgkikAlOImQWnQCnhR4xhKklpoSNFJBaGCYegxSj35ao9tN+c8fm8YmMRvnh1y1Y8jsZMI7XjVgx4aIOBaZ3pZQYW4y/SmlQUjBJ++q89SRJkJrTpxtcOZCg1pdMRkIppqWiZphogatumCyoZhoKaZbmtkpmJtK2Dg7ZOuGDqld5ZP3TDDoNblsm2WioWg1JK26oVVL8LyILz5YI+xLvA2uWzSXKM264vU3Dfj644ZeKOkNUjp9zWpXc36pwZW7W7zjpR0ee7bBieUWShogzvSyR5wqwtglZnpDTbvn06o3aNZDrtw25MV7h5y62Ob4uVW0l/LkUc2ffa2BUK5wjfH5g9YABqwljlJ2bkx416sGzE2k7N1p2TgLaeIRRi2SxGOl45HEijjVWRzkAJ0D3MVEGVMnInvuEl2FEZA4KZmkHklnCS13/NpzzzzSn5m75MMHD+yLLt975d8MgJ8+fZqFhYXLz5w58/5nn35M+r4DmLsYjq0T6Wq4tYQkS8EnRqATpxPj1OKlTgMG2lJLLUkqiIwlSgWhkYSpJDIesYGF3gRfe8pgSfnzh9zIBqzJjjyLl1lkIq9IlEilSGKNNBpPS1oB7J63ND1DIzA0AmgEgmZd0qo7OTTZkkxPwOxkwvx0yJb5Likr/NdP1bj36Q3smYXpRsbeDUmrntCoRzQbA+r1BoGSKJlpcJwciGOP4UAwCFO6oaI3NHQHxrXMNX1OX5jkJVeF/PQ7L/Drf6Y5uRoghMHaGJNa4sQjiiXD0JWxtgaaZs2nUa/RCBrUgphWPeKFl0X4XsyNlyW859V9tEqyJJBx9fZVUZ5JOmMkQkgCTwE+w1CztKJd3U6axzzZkcgyBsoK13Jw585WnlhKsqA1f52mkBRGgOXe+x6V1w/1+7dsGd4ThuEzfx3Y/H8N8Lu++kmmpmz92LGDbzt2+Kio17QLWFK33Mk0b05wjkWSWKSyqBRU6rRhkoJObfYHZxF9mkX1eWRvRPnaCCIjSawkNZrYBKSZ7VX9KrKUArQQLlOpoFa31LSlplICDwINNd9SDwR1X9KoSxo17QDeFEy1DDMTCbNTIRtmemzZsMTvfM7w0Ts2sn1KMdcyTDQVrYai2YBGPaVVjzm3ZDhyLqDmuxsa8ko/wTDS7N5k2DQ3pDP0GQxtxuKS1a6mVa/Rakzxnldf5Oi58/zuZ7eipcZiSE1KYixxogkjxSByRVH9mqQx1NQDj3qQ0u66GMP3Upcw81K0dI0SUrp0fl7c5kpXXAmnA7mgbbIqS+PimjSVGCNJTBnvJKmoBPj588pjIrL3c3BTvHbP82vsvPWHHnlC7N7dftuOHTuOfPxPPzF497ve+e0F+Eq37l9YXPm5pYsXfs7XoWzUJFHifGiVOuZO88NktdypIM3kSWJAZ39omicfjM1e2+K98nlZKee8XFEESlXNDWSZPBdYaWmce6PciuEpgaet8421oBZIar6kHijqNUWrLmk1LJPNlKlWwsxEyNx0nx0bl3joYMjH7trCdC1gY8sw0RAO3HVJs2Zo1hJajZCHDsCT+xtcOm8z3VumzQeh4sa9lst2DHj4mSn6oWUwTOkNdAZyj0atTr02xbtftsyTBy/y4L5NYBXGpK4cNrEksS3qSQahpjG01GuKmm8IfI/ATwm0QesUT7vssFIms2ydq4Vw7SU5LZTBuSshNrkjZXL7tWLF5sA2DrTl6yqQ8+85ckozG7IAeGZNxgl0V3tyonX+/9qyacrfON/6ZSD6tgHc2rYMh8Nf/IvPfPyfrSxf9H1f43t5bYcgEaKQJw7gDtgqSyqkyqJN9ty4BlqTUjxP84ybzTNvFpNl4vJkhbWWSuZ9ZMXNU9V5QkfJLGOpqBRtuexf4CtqgaIeCBp1QatumWikTDYTplohs5MDtsyv8OCBAb/4+xs5eXqKS+YMUw2YqCuadUWzBs1aSr0W43tD2kNXLOYplwfIv5zulMSJz0Q9pp8Y+lmddX+Y0u1L2nVFoxtQC1rs2hTzSz/U5t9+RPLAvo1YFMYat0qmCVFiiGLFMFIMAkk9VNR8SeBbAl8RaIPnOb9fq7zWJ1tVM5kihB1t0M1S+zYjEZvVsqQZ4FNTPjoyktmjKAGePU8z6ZnkJJaxdpqv2lk2NUkMUgpOnDznK3/iZ979fe/xzi32/83mucZfOZ3/Vwb4mfNtzpw3v3zswF3/1AyP16ZaiigGVOaYZOBKjHBgVzmQLUY6cKcZuE3+3DjdnqeRTeHRgjXWdZFnJaDVgzGAZ7I7CyydRHE15U4S6awVzdOSwHcDgGqBG8lQDyzNmqHVSJloxEy2ImYmBmyZX+XB/X3+7YfnOHByhp0zzmFp1SXNhnTsXbc0aimNWkycRvzRl1tIpfCkRYnSJjQ2X8I9/v5rV/jSoxHdKKCfAbw3UHR7inagqfkBgTfB3u0J/+GHl/iFDwvuf2YjxkpS49LqceIKzcLIENZcuWsQCGqeIPBdZtPXtsjYamWcTJRlWXIB8DLlCWQkgsslOLclC+RzAGdTB0yRXCNjd4oVN1+dS4Db8jErgktMiY84Fjz29LHazJc+95ZWs/4LTz35CNe94Mb/tQC/eO4Y1tqbH3jouXpDG5Ry1X55gC5lVsRkIJWgjCCVgrRID+fgzuWHe88UtRJl+5UDunB1FDmo8xM/9rnK3s2szkRSFlNldeQO4BLPk65+wxfUAjfzpBGkNOsO3BPNiKmJAfNTbR7a3+cXPzTDsyfm2DYtmG1WpElN06y5+pV6LaEeRHheyJmlaTwlUNJktlwZZKapJEkUm6ctSRLTiWtZp4xhMEzpDiX1vqLme/heDU9PcsW2hP/wDxf4178HDz63gdRIB/DUEidpxuSGMDDUIsnQV4UE8zzwdOZcKelyATKzbgWI7HEdjDu5QpYUQhTJIZMlh/JscZpW3jel5EwrwDamvN45DpICD67a01rwZczZE/uvePOb/s5vJknyj/6qOP0rAfzoc59nbq7X+OIdd/kNr4sU0gUsWTJDmiw9LLO7OWuKTdP8deawaIo/chTYuQyxBdBtLkfy58/z2aSgklQiKxEQWdpaZo0SuTyBmgeBb6jXLPXA6edGPWaiETHVHDA33ebRQ0N+4YPTPH1ini1TivmmYbIuaNUkjZqiURfUa+7mcKn+iAf3CXpDn5oiu8mcBs+bEFIjiBNNs6a45eouDz07QT92MmUQpvQHim6gCHyF7/mZfp7iyu2GX/nRi/zsb8P9+zYQG0lsTNYsXfZghr4k8I1jb6+so9cqP8hkSinjZJblXQ/keVLI5gDPAJ8Wzgvrrrwmi6VyR60AtqV8rwL8XH5KKTh5pud9/FNfueYlL3tN4/f/+HP9f/D9b/qfD/DFiydoTm6fOvrsn32gFXRfFjcj0lQVIFS2csdKkcmPCtBVfhLcXW6UWJ+1K4A2BbDLpmAy7V1cDOEKioTMwJ0VGakC4KCyikFPg+/hOoH8rMAqSKln8qJVD5lsDZhudXjicMgvfHCaJ49vYNOUZr5hmKxDsyZo1hWNuqJRsHdKLUhoNYbc/aTParvG9HSZJs8BYzJtGqeKDbOKV7+gx92PGNdFE5kKyCU1T1LzNJ720bqOlIYrt1ve+6MX+dnfttx/YAOx0cRZBaAre3VMHsSyqC70tUTrrAhLCpTOzw3F58tvwlyqiLwqjTIhNH6YyqMxlcdi5S3BbQqg8zyv84pP9++0exGDpPOyEyeO/95P//g7f+KlNx9fvezSXf9zAT7oniUcLPzs0sXj3xsNF6kHvqu3roBWyfJuLpwPVQkaTXnH5/IjLWQIBXuPBJLjzJ0hPc/IFdpb5hV0pe7OKwa1wtVnaIvnucbimm+o+Sn1WkKjFtOshbQaQ2Ym2zx2MOTnfnuOJ45uZMOUx4ZGymTDZuDO2LsmqQeO/WtBQiOISExINwoQSuLlDF5ocJGxW+YXxx5Nf+jKBaIa0znIhyl93zF44EtXE6/zDWgt1+yyvO8nLvAvf8tw//6NxEYTpoIoNRmLC2qxIfAsvud6V3UWd2jlSoSVlNn5ybry88dKYVZxY1ZjnTFwFyRUIaYquIu4ypbPq+/ltfr5zZFmz9NUcPbcEgcOHf/eu+55/EgYxf/6fyqDry6dpjm5dedzD3/g2mhwGt+TpNZ14YxH1sbYMggxNusoyYt6bAXgojhRuf4qIvfiBJZZSVtdM3PWrgaVopRHOhsvoaRrAvCUA7avbVE9WPPSTDfH1Gsh0xN9JptdHtyX8K9+Z47Hj25kflIzX0+ZrFlaGbjrNWcn5uCuByk1P2GiGbHvuOWux5r4UuIpkwVxpUeRL99xqkiM5hUvjLn0kh5HTtaZb1D2OYYp/WHGwlqhtZfNg3He9dU74Vd+bJF//duGe56dZxjXXTIssTSyGu7Aw4Fc56uXKXpbpUqLFU5JUQG4qICcNXqlBLkdBXhRoViuvOutzCW7s5bBc5BnkwGsUBw6eo4v3vnItf/h539s55Fjp0/s2b3trx/gy4vnUf7UrjPHH/gvw8HKWzA9Al87DSVlwcq5T1oEHoW9ZDFpLkfEmiUt94dt4WmPuSRr3JKMucfBLSxS5bZgVvOiMtbWFl8bPM8QeIbAT6j5CbUgolELmZnss9Lt8/Vn4Ff+eBNPHZ5jLgP3VN3SqguaNVF45c55MY69fQfwehASpSnDQY2acjeZFGKkki9PpLhAUzstr0PCyDKIRQXgBt9P8T2N50k3VUB6BcARcN1uwa/8xAr/+U8S7t8/y9n2BMOmZCq1tBJLLZs4EHg28/5zJ8UW7J1LlRzgxefNPnQV54VCzC5KvqqW4B6VlK6aswJ2uz5bFxp+BPQOT4N2n4sLy2+546v3p6+47QX/vzOnzx7fum3LXy/AffajTf3Fdvj426Lec9SCAGPTTFvbddnbVN+zmd7OpIgDtciWtjxhMypFqgDPT3FVFeYXwY17yNm77MYvhwO5slhPm2zMRFqAO/AzcM/0WFgZ8N4/avDZB+ZZ7E0zPymZr2Xgrjnd3cgCy3ogaQQ2Y3CnvWtBBETc+YTPSuwzGzBSj40YXaHS1DU/TASaV93Q58EDEd04YLLoWDf4oatV97UDuFauIVtIl6DBwhXbJb/+f3T4/IMDfvlDGzm9OM1gSjPlC1qJoZFAELvRy75yA428PNCUogiC88dqoF69MYUoekWK6wNjErIK7Er8ZCrgr+YxxkGeVgLUwma0mvsePcLU3Ka3hTT/qNsfHP9rZfDFlT6yWb9s374v/5Pe+XvZNBfSHWS1B1JmkXCW0s0zXzmDZxmwHNCF1i5AnUsQW9pQ46xdlSVUhgJBkW7OXYCiqUJZtHTAdr2drr/T91J8L6HmxwR+TKs+QOs+dz+Z8ntfmOBz924gMhNsmBDM1ZwscRZg7pOr7BAZc1fZO0brkPuem6IfaTY38s8zzuD56ubqomue4uYrByTGAXwQC9e1nneuh8YFhzqbDZPZe/lwO4tgbkrwva/s0QrO8qEvDPj6c7Ocj+v0a5KJxNLU1oFcZ3GIsllcYjOQ5+dQlLXj0s0Wy8/1+I6ChVTJR1Qwrs2r3UNl7XnO6Ok6wWlaicnyJow4FVzsezz47OPE5lkGoeVb/fqmAO+tnuTTt3+NqYmpLafOHH35XLDKnus0UZw4e1AqB3AlMGmWjKmwdylJSvYekSO51iZLJowAu2I9VO0rYcekSZ6VcxWDbrSbyWq+M3ArV4sReDG+H1PzIhqNIb7f54/v0PzqH2zgyMIMXlBjU0swE6RMBJZmAM2sw74euGxnLUsIufqVNFsJnDxZ7KT0Ih9fKXxpiwCTyp+S39h57UaUeNS9IZumBqz2WwxikY1bc7GC56WZzacyu1M5gI8Erq7y8S0v7XHjVQv8yh8O+egX51lOmvQDj6YnmdCuBifQ4CuKZgidJ32KOTSiSNTlCaAqqYyKlSrQGVmBjR2VmlWHZOQo5IkowJ5nQuMUIiPoJQLSJW7ec8W/veKS6/a9+6V7n952+Xdz5d7t/+8AbkzK9771xbtOHj/wO+nKAXZsaDIIE7RO3R8sLdJIVCoxchTg1o5KFGvK+oY8eCxOAqIiScSYNMnBbUs2ybJvsgpwaVHSBb0lc6cZyBN87SRJ4IcE3oDjFxJ+9/NNPnPPLEcvTDPR8JipwXSQ0gpslnrPwS0zcMsiKVTLtHfguxtnohny6fs0h07UqWUTuIp2MUqUF2McrNPhcaK5Yie86cYuv3f7LL2GZiKbPRJEWdygDFrLbGwdFZB7FUp1q8KOOcm/+nt9rt19mt/+3AxHz0+ynNTpe5qmEjQyoPvSuhsnc5mK1S8/r7l9iNPnZabTrvXJc2LKSycK33ytpVh0EVVriarvZeBOrMuExyk0fMHZcy0+f1fn2g1bN3ziyhte9oZ2p/NNpco3BPiJ8xGtaY/HnrxnW9J5aM/e7SdQUmOMQMkUyJc0i5GmwtQya/QVFZdEFIDOwW+r7G1FwQIlK+S0bUd0YA5skbXAFdWK0mSuSc7eKZ5OXOeOTgiCEF+HdNOI93/C50Of38SZpSmMqjMzqZjxLZO+oZExd6NI38usTiWTJpl3XoDbd9nLMI44dDqgFwVMB5mLkyedclciz8LaSk1KrJloanZvi1DBkG7UYuAL6rElzAGu0yxRo5yPLfMS4PWCV8X8ZJ8ff0uft73iPB/6fIff/eQsi4MmA12jphUNLagrS5BYx+bSSRUty/KGPMu5hslZR66MOywwGkvlMqRCZFUWz0kwzfV3LlOs6zSSAoaJxx2PrXLVdY/v2bAx3Xb9tS89bm0PIZp/NYAvLS4yHEzOL3Wan3jy4Xu8H3njgJVuvfhLZMbYDtA5Y0uMNQW4C8Y2OXNXgJ0BvmRs8TwZSluxA20B7BF5IvNhQakDuE7RKsX3Ymp+hO9FtIcR9z0l+eM7JvjkPbMM0xa+7zPrC6Z8Q9O3NAJLwy/BXQskQSAJMmniEkOZM5EB3Pdc5vPYOcvXH20QxR5B064JMItVsdDg7nxFscLzNK++scvHvtLjwOkmg5orHw09i5+AFxu8yKCUdL61FJlELIE14rEbSSPQbJwa8C/f3efKHSEfvaPFI/smWRg0GSofz9PUtKAuIcgHLOX2qrQunyCogHy0ZmW8OKvK6DlBjTti+euStUWFzTNgF0DP+kSz/65vBL2+5vzZe7xNszd+ArP6gv6gvfBXZvDrr7Ly3NmnX7x86oHJvZt94nSI78Vj5ZSyAHZZXilHwT0mS4ojB3YmUaoMPlL443p0HJMXKWVTlHs63W3RKnUAV2khR7SOafdi7n1G8Pu3T3DHY5Mst1vIeo1WXTHlWSZ8Q8OzNHxL3Sdjbcfc9UBS8xU1X1DzySr0TAZuQ+A5/a10yMHTcKZdc4mVTN+OJk7K+hnXB5l1tBhJFGk2Tggu2z7g6ZMJ/dgjzGZ8+xEOfCqfrJsnakCOdebkN09uQ8apqw9/16sHvO6mFb76eJePfHGCR/ZNsNRt0JY+PV/jK4EvBYHE9XBKt0udEuVNqkRW9rsOg6+pXxln8gqhGars7W6CnK2NzaRJxtxJBfwGsErw+IFJPv7Jhyevuj548dzmS27nGwwP+oYAP3ZqOUjj5Lf2bHqiOduMSFPwVFxwqi1YOpMjY2BfC3BRdLiPALxyQkZ4YUSaWKoF+k6WmExzG5RM3UD83M2QMQvdhLsf1Xzh3haf/fokFztNRK2G1/KY0DDpuU6eukcmO6Dui+yQWclpprt9QZCzdw5wneD7CTU/wtqYOx8LOHGuztyMwJMm07GibPStsJ2tWKhpqhiEHjs3Cl59Q5/PPBDRiz0GsaDmuX5VP5ssVa5SqvCr8+GlxXm12TXJGxWM89vrQci7Xjngu25c4s/v6fL5exvc/VSLi+0GA+Ez8DXaU2jhRnp4UuJlUxCUsChERRqO2ofrkPmIC1YytygC0BzQaQFoB+qcwQ220PX53SKV4MnjiuQrB5r/6bYX/daUd/pKYPBXAvinvnyQ4bDN8pmz/Psf6pOksviQTlZUmTrvZJdjcmQU7CMXAVzv5Do1gSMBZQXYbkCnkyQiA7jWKb6OqdVihmHKgTNw/Kzi41+e5PZHJri40gSvhp7waChJy7O0tKHuWeoe1DwH7prnZhK6MlNZOUT2fZuB3BQg9z3XnnbkrOHpYwF4XrbM20qKXoygoBqEuXppQZK6cc7X7A65aluP/WcaDGqCRiIIYkuoyKw9k7F37qbkFmSpVQqfvUi6qWz6gMcw8qjXQ37w9SFvvmWVLz3a40+/0uD42Rr7zzSIVgOSQDPUGqncVF8F6OwxZ/JCulAG/2u+CjelBLWhBLWBEswZoE1B96Y8KPtFTSJoD1Jee9MFZmvPTs3Ofd/3r3Tt70231p85/rwAt+aIiML+P/mTj/8/c3/2sOUtt8XcelWKUCC1wMZuxoUputhlKVkqDG4pmd0WUqQK7sotP8IItqL5XFLDSRKT7fKQEgRukmqSppxfgi9/TXPkdJ27HqpzZqXOkbNNCAJUQ1PTiqa2NLVxLoLnBufXPDeuzYE4P2R2qAzgZJo7A7eXEniOvd2NFXFsAfYdb+DJUXuwkCiU9eCFo5A7KSbra0w8rto54LINfZ45mtBPPFqxINTgJ24moKoAXEqBkHKEyWHcfhNFMJv3UcapR+j5TNQj/v5rQ156bYczKx3ufNjn6KmALz3W4OxSjXTgYaQm9hVCSrdSZF35kizjCYVsWQ/kI4Em1Sx17rbk7FwBszFg0wzUBmIDsUV4KVKl3Hb1gO++bZWPffHA1Dvf2vtp34s/tBZF3wTg9937eaI4/d5PfW25eexCk3/8f/tce0nIy1845KrdMZunUy7dFaERpJHEIAv3pAr4UopkwK6weM7Wo5/MViL2krULKaJSvCAlTi1HTwmePqr48kMNnjnm89yxOp0wIIwC8HzUhEegBA0FDW2oV3zgQOd1GnnZrKsLDzJZ4vsK35fZDWBL7e2lLrPoOZ1f82OsibiwLAltgNYSX1p0xWYbI/AC5Kkd7XeMEg+BZn4mQqohvdijr4VzOuKyYEwrM5KBlLlJDZAPO0JgjSyZvDIYyUtVMX6iH/psmo7YsTHmhZeEDKIB/+BYm2eO+3z5wRpPH6tx9GSNOFEQKKxUICSprGSDiiTFOlplRJzbitywBSsXQC7AnT3GBi0Me3bFbJ2JuWJ3xCteGHLdJQlzk5KrtzzDA/d/HPsNhMi63zlx4HbOnO+oT3zuafHgs/MsDQ2Lx4c8czTkSw9GTHoJO7ZFXLM34rU3hbzq+giswdNQb9pMZ0swgiR2gM8DyREGr97y1gGabH6Jpy0Ig5CWOLL0h47Rj5+W/MkdAf1Y8cRzNQ6fCljs+YSpD9oH5aEmFL4U1BU0lKWmcOPMVFZ4pBxr+55wSY8quD2Jn8mSwIfAJ3NNXMrc0wbfS7KMaEy9FnFxJeXL97dodwOmJwU68+Lzoi/xfMxmKgGhkYShYm5W8bpbhnzpkQEn200GnnQyRYOXWLw496wzj12mzi6kOutEFr/DWD1SMpGmEj9VpFqReG7sQxx7zkr1Ypp+zEuvSbj5ypC3vnzIwVOSJ/d5DCLFR7/c4Nh5D4SkP9CkkcrLN7E6B/iYZVRN344AHLAGkVqEsdiMwevNFM8zCGt41Q0hr70x5Oq9ETu3pkxqmG1JUuPR69d54e46h85fEMvx9eojH78j+cF3v/ZbA7iUlu2bm++/7pL+dZ9/UCKHmlQIjFEsDDwWugnHlmvc/0zKJ76SMD+TYI3lhssj3vWaYdFrNz9puP6aiGYtu0GtKHJga6+5KIbztPuCJ5/SLHUk9ZrkoX0ef3lPjWGsGMaKc+d9jNDE1sMID7RGBBotJb4S1KSllgE7UJZAuVnkvs48X10yt5/3ZRbgVlmPpijY2/cMvp8XaKUFe/t+jFIRX3tc8ZkHWihfO7ttRH8/P4PnXnia5o6HYjj0ePOtAz57X4eP3jlJL6nRzHS4l+vwOE/K2KJbSAhZAMz9KlnR+hWAm2y0g3ZM7mlFojU6SR3QVYpSbpD+dC3h1r0Jt+yNsSLkHa/sM4zdOLe/uCfg4X0+9UCw2FE8+YxPpy8zlSR4XlFe7DzhWgOvvz5mbip1TQ+p4V2vGXL9ZTHWwPy0YWYKFG5j3jRVDIYeceIRxj7tvuKOh9Prrrl24v0C++PfEoOfONdBBK2J/rkP7z108Zw6122SEoDU2ZVSoBOMSQlNyoW24cKqW14Onmzwl19zd6JNLZPThhdfF9GquzrgddOT1Vs9cx1We4pHnvbptBVSSzcTxWrHTELj5gJrkBopJZ4UDszSEkiDLx0QfAW+Kmf0OZCLsuFBu0aAvPG4Cm7H8FlZrZczeFo5EgIdY23EmUWfKKwRTEr8LO2tsqq8kSymoCSvinVadKcbRRR7TLcU2+cifDFkkAQMEkFduyGYeQ1JntBSslreKovf5X5H7mqZMntqTNYzWUqjJEmzvIHK5rInxEmKil0uQasUKRO2zZlsxTBcuWNIZAdIbWi3BY88rVntS1ShWEaD6pErnRVjNWuGm6+LmZw22MSt7HXlzp2TuRqTSCKjsqYaFzCnqUYImJ9eZeuGI2oQXr33J3/w+yf+wfcudYSY/cYAX1paxNcr7/u3719+5RfubZJYH0/iiqasdAC32vWl2XzYjtNRiTW08yVIGTqrlnNfa1b+xPUAXtVv2cURApNvuUBWcypUGeRImVlZOaiztLMk27g1940rjzrrpFdkW+9RgNu1dSn8DNy+pigxdQyesbg2+Fl21PNigiDm1KLhD7/UBO27GYuykuAZAd8okeXsmg8JdWBzFzKKPd7zugF/fveA5y606KUejcRtSuuqAG3ZiaPynEA12MtLF3MpJCsFXvlhiloYrRVe6ualeBnQlSyTZq5uPHsuTDY4KEULi7Apcw3Dd7/EgEgzmQmIfP+Mda55UWMkwCjSWJPPY0liSVyM3pOFE+dWIZUlEp17p5XPO17Swfr7XjnonnyfNfFPflMGf+CeO1FS+rKzwLamoh3BILVERhBZB3RrZVZBZkpNVZ7N8rmypF4F3OviO2e3HOCjwYuQsmhBUwI84dLKgXDVgp50r7Ukq6nIusfzQiJNZQ4K2c5sZVd9CXBZyJbAt0VLm++byuCcBC9jb1/HSBlx4rxgoVNDaE0gGZEnsvpnVS53VTqMAC9zOqLEY3YiZOemAfvPhwxSzTCFIBV4qcVLMh2eUDhLZQpdjXQq5LGds3HzripRkUYGnRpSJVE6375cZcVqblsZJctDSIPKQC7y342bkiWkLVyvHOi5A7YewMvkXhmXFaBmzNMfSSbmQ4c0nW7AxU7MvpN3ud17vxnAm+osUgi2zIU8ewJkbPGlmynoV7JMxgpSVGkDFSWTVSB/M1lC1pVTKawXAkmZInZTqcATFk9koM0kQP68eC8j+7IUlKLB1lfCgX0E3NI9+jnQ8+AzA3fe/aNNIVE87fSp78ckxHz+vjoXFup4kwq/WsNRdVAYU6TV1HVRXlwmfYahm2D7xtt63PfUkE5So6819cQQZel0JcuCqLzgTAhD2TmUB5qisCWddZjNVLGQKvc7tREkSqBTme1i52p5kgzoZTLNFAk2KU0l8ZY9l1VwZzZvsVfM81z/SqEdVLPbow6cmzmZJwvL4apJKnjmcMT55VPl6vF8AD9x+FNIXX/Jypk7bzy+cIHFcJIkyXcKcIGBl7MPmc1VMe+Lu45vvvFKIUjyZIEAlT8KZ/zkVpvKUsZuvkmpcVUObJkN9MzkSRXYxRwUhetHXA/gecCZ626dyxKb6e3RWnLfi/G9iPNtw2OH66B9dCZPdKVAKc/2iTGEuwtVqboraqBl4YnHsccNl4bMTg1orzToJ4qGAi9xf4tK3QAlFVcBjgN58YvkWKWmyPomsxp9ZUiNwDOCVElSZUiVIMlAXi1ey8shZA7yCqjzkgmByUBOVtKcZ6LLpN1IMcZI/YpYC/bitRhh9ZzttTZMttocvWg4tTp/4/e9/WUv+eCfffHeH3nH69cH+F1PCTzPfPcDD3D9nY8l9CJJTeC0Vi6bRoz7ykUqAhv3cwbWCS4os5MVgLvdhcmSB6Mj11QF5Dlj6bw2IqsBz0s9XXNx3qniZIkquldKYOfNt469M82tKfR2bgk6xi7B7RXViTGCmM/dE3DfMy1koPGlcPO3iwrC6nyWah11eVGL2p2CxV2gmRrnFtxy9YA3vbTL736uRZQG9FJJLbWECdnKVa36M5mcM2M31PMxORgts15IUYA7VRKljGN0KbPREqZSilytAbIlyEeyzTmT54t0RaaKtWReHblX1rBUZcso6MmJUaTUa4a/c9s5Qjlz/aXbF787TaN712XwI8dOMzvdfN0HPvqVv/fpr8YsdOZo1VzSIgdX9f4r7q4C1LZ4f+QiVhg7/2AFg2fgzgEgK6CQlDUP1dEGOXO7LUjy12QMTtGGNcLiWTeMp0bB7cYpjDF31rPpZ+1tns4bDpLKERMR86d3TpDaAFVkL6sBZtnXmDsbIxqcsXY9I910qDQPNjUCj3e9qs8ffT5k1cQM0hqDVOAlFCyez1zPi86cXTi+fkpKa1JUQC5IdTa6QWUg1xZlnFxxY/ZcBaPLHsuiNLm0KKvVnWUZc9GUUgC9lCprAT66ttuMCEdBPVaMJ8pGmqt3SoxdRgfDvzez5c13dVfPfKk1tXUU4GkaMxhGl6q0v2dKd2nM+Bhjns+0LptOizvueXKl4ywuKkxekScF0MfKMwstPqY5c9BXZ3soJUotnlXcjQy7yYCtlSidlMIOdB33rjHZZsxdBpi6wt6BF/HYYcmhszWs8lBS4kuDHq/TqAjwcRclP4pOJyMqfrUDeZx47NkSc9UlPR44WCdWPoNEUJPgpRadbyYgsi6cJNPhSCcXRn6lqLC4qEijssEgnwmplSlmSKpM+pXgzmuBbFYmkDM5xeohKuCmIMf12Xu9rzKEE6OMPo4lLGHs0ek1WO3AbJruaW0IL03i5EtrGPz8hRU69SGD/oCaZ/EoJ7iWgB79AONs/Y0/fvkT1XJLMQ70CrhVUfNd2m6lZBGue16U4HZBpii6xXUBbjkC8OrwH9dtTwHsIltZMHeKr11ix3UFxVhi/uzOBktLdUSgne9evQnHa1DKKzJiEebNt9U67sKbNm5HsrkZyTtf3eWxwxOEaY2+8qmnTovn5axKkoE7XytM5olXo6FKNjn/ncZWbrBqo69EmXxFssVzWWyrnmlwme93lEsTWTZHjDP4WNNKyZzrW8cj2CoC0HXes2TWqiGOhkSDRZK4LC4sAP5ffufPkVKyurqKlKq4SFXNPQLVMbCv92rtx6ZSIbjOYxXQVRYfGS9WMrasMrgSFRbP5YpE6VGA+zobAOTlWwdmGU5t8YpUvMmepyOHVq5z57kT8Ik7WoTSR0mVZS9Hb8TxDOaaZblyoUZ1eKbFU0WSaoJU887XDvn92/s8dbROrDz6UuKnJnOPBDK1lfNkXXuZqK6pJvtdo/sWVZk8NaALC9GNtlZZSYBKbTmss5jLIoobOhnT4+56VovlqDB5DvJvvt6PaPPix8WoashqbTytiLrPcObQCac8qgA/cfIMO7Zvafzzf/Pfdy8sLJJvFlUFeFk/wogWej5Yj19QIcafr9Xezy9RRAGc8XHIssLYeZCZT23SOt/kNdPeagzcefreyxuTjZsZUrSI5T2dSXbEKC/i0BlNN/JB6Uye2LHy2PEbd/SEjA40GvPCs26cMvGjaXqCvVuHPHUoIjUBA+NTS13Ntq7sexTnLF6wpSEPMksmLxMoeYe7LgabuvfyganakHUQWaQpJwTk07XSvLu/MADK4LIIPMeud46YNQ0TY6/t2JNRp4U1q5HFYkyK8uZ3X3fzTzdWlv5xf3p2swP46dPnWF1tv/byXbM/+8STQ3wtC5FfNiTYtcCurDLV98U6H7rK3vn3BC6fUwVCCeyyj1FVWFGNDNXMQU5ZI60qoC6eZ0keReaFO3A7AJdDgbyqPKmyt8r6Ov2I5a7h//lUi6VBDRF4Tp5IO7KqlINzvoloK2qORJYzqzK4c1SSRDPR0PzU27t89bEJlkKfSGoGUuJnPZTlyIeMwav19MIUZbQWk4HbYJFjzorIGNwWQXoOdiVFxuBOEqWFi0IhU0odXrYTljIlDzxLq3Dk3Kyzyq0P8DGyrZKvtXS6Ca35zT975tShe5O4/+cFgz/6xHPUagGHj53EmgTP89fIkPF8zTfL3+SfuPqhRwc7jrE2ZVrbzckblyijg2kKYEuBVOX4MVUBtZYSnUkSXQA819ymCCo9bQpwezqvvxhlb0/F+H7Ex+/0ePZIHaSHlJIgL42tWJvFHvHZH/m81YSUJFJ2l5cgT4zMNnnyuGZPn7e8tMPv317D6ICB9AmkKJI+SgriSkA3zuSiyuRjmcJCqihQ1q0KxgoH7nxKWDZMtRwrUc6iKSfTuj5OIUflSeGsjGCgfP2tfK0BfJENzf9PEkYxSwunSK1HmoQUAI+th7IeUapIjSCobP3s/vsx9rZZtvX5QJ7/ERW3xL2dF+bbNQNlRjzjIrAUJZsXDPnNAC5LgBeJnhzg1s3JzqSIp0q3xKsMByo1t2NvT7upVSttw198rcViO4Ba5p6ISjD2PBIFMXo+y4u0jm1XnUqQ5m6KZnpC8Xde2eez9w1Z6gVESjNIMxtXisy9EWUzthxPrDj2zt8yBZvn4xwEOndWVPY8G6JqJKSK4rxXQS5kKWeLVTfX4SN6XIzJFTEKcGER9vnRbkUGugoOrRXljYKr0ZloWqYm3NaeAPqhxw+xccPMri98+aGfPnj0PL6nik1LCzAz/g8/L66LtkpReT1ysStAHz3E+hIlT5yMAHt09ne1w8UNd2cU3PnOBjlzqwpzr2HwfNxEOXJCK5e5PHZccPBEDUOAkLpozi2rB6vxg6i4GuUfX61FKZlcVOSJKJyMot0s1WA1V+yM2LN5yNL+Ojb1HYunotg5WhUyIWfPaqFXXickS0vXZmxuS5/cyHJOSTW2UdnMdyPJtHd+XUoyKsBtRDZLJdfkYkyqiDE82OLF80G88GDsaEIxf9/tw6RIwtM0apf99NyWVz3RXd53XEuREkfDTTUvfV3YW2J6Ili/drnK3nzjr3HnYHyWRg7oaip75L1KL2PpTIhKsFkC2jE42Sjgqg9ePbItrVUV3BWQZ/vVe1lpaM7eKnutdYxSMZ9/oMWhxTr4pTzxKtblyA3L2nERay5awZ7VgDPPaI5q8SjSXDIX8cZb+jz8XAOMR5I6Le6lWXY3HZVKJXNWLbkM5NZWJEpFrsjsebZpgZH54c59mq0YUmSsbvIV1hbEVCZ8qs8zlq60txVtL1Vwj8VtI1gbY+8C6NmbsQw4d77H/Db1ulYUb4oijutaZpNNNiSbZzXak8V0z3ISkf2m7F39VKLyARn5g9a6C9WlazxAywEt1gF2weZKVJpwK+DO5hOW23awFti6HBBUjHjTJgN54uSJiqk3Ih44oPjzrzUZDH1oaLQUeGJUmox//urfvD4rjenvMcuw6ovHiWaypXnrK4bcfl+fhw742KbHIA3wBcWNporfX+rgylpagLyaOHHBZ3aDKcfmqXR63FRYOw/qTb71iREV/S0qge5oDFXq7jIucO+JMaCvgdIaMq0yd1msVs6cH4Y1tnU8piPJMFRoT6UokdCsWTbM+iSpYhi6nsd8qwmEWBNorueajDN4wdZrAD4uUUYnmpbBpShAU8zLU5XdG5TIalNKcJcgz8tmLVqXI5R1tgmTVqNA9wq2dodSLsD0/Yg4Srn9/gbPnWyA5yGkykCVzQ2pBJdCjl7UcdeoYKKKveVIpLplX75tnyw88TTVRJHmyh0Jr7+tx5PH64SJTyo9Bkbhp4x9ltwLZ4zB3aMd+yyo/GYzGCVQeZO4FFgF0pZ6vFhRJUhTmWVoylVDjgN8PC5hDPjfaqazag/iPlNiBHEiGIaSlXbKcjtlQy+m34/Ry6c/QdeTqDBkzzbNyfOCODFZ+75AWFu5a+CbBpYjIF87fnc95h4Fdc7Y1QCz3IGglCYVq7Bg7Bzg5eTUQqJkzO0Y2xZMrYvH8rmXBZdaxQR+xDMnBF+6r0F/4EPTQ4q8cpCKPbhOFrPyd1apIK9FyaP10UHyYwmfSgFWFHu0WhGvvzXks3cPefJoANpnaCR+psWVcRvsVqWBSCnkAelYBlGVMlQrSukiHZvnq0oe5BvrwJ7vw6SkQJiqm5Jdc1My+3iOYw3Ax0A/crZG3Y41tVDG4Gp4EkF/CKcvWv7w0/fj157EGIM+dPoQqYVWAFOTDfYfb7j2MtwfkEeu38rXur538cHFyB28LovLCtirmrsAudPb1WymUlmFYVZR6Nq5sue6Oh98DNzZ4eVTaLMCf60Sd+gYz4tJbMrn7q3z9WfqUNMgXUOzVynhHSmNrR7VF+uRkR2NcWw2VjpvRk5tPtekBHo49Hj5NX3e+JI+z56okSQeVigGQuOlFJ9JpCWLlx9hfSavDrFXKmdux+butUAaUejwwu/PGT1fbTMGL4Z2joF7JOAcAXnpqqyHo+eDX/XcKWVp1iyrw4RYnWGu6W5GffB0Da2g0085fCwhGSRMNcsPpb7pmjF+t4k1jF0+LyPeAuCVtq7qzgIjwB6RKtU0feVQY+BWlUOXm6DmgPYqoM6dE+eYuEelYnwv5onjkk/c2QJ8kB5CqKKLSFUqLUdtTlGsYPkZGQVYyUYjOtxUNLgVbkcMlY1+KPaJ11irederBnz5/iGPHHGTBGKj6KciK/jKQJfmwKnUgVTpMKtLRzEC9Py7KgO9kdl+PnlQnGtvmbG5cI/FNTSVgZ2ycvOPJMBKSVKer1HW/mbQs5W/yVMwtyHlzS/tcLFjMdZDYNFfeWAKIQRJnKBtyIapzOQfX17X+W3rRb0lc4vKHZq9R2XK6pjuLqWKyJIFpfVU7LlZOCoVkGetaeVmU25nh3IAfgnuEdauPOaNtblUUSrB8xLiNOGuh+o8fbgOngfSBZe+sJXJsdXASqwJrMblSX5hbOVJ0QBhxahMqWx1YlTmqKSaMPK4es+Ql7/YsfggdSweCp+hAZ2KMvBLc7vQAaqUKO4DVOVn1bpUEqyySCtQFpf9tAJhBVaAtKKUKpWgsmTv7Lqa6o1fmeu+Th7EnaUxLf6NdHkVW9JtB75lpsk1l1i0dsGyvn6Xj5SSYQjdblRsLyeL/3h0LvQouIudckbdk+xni1rokYsuSvtqzDEZ3SNmrP5EUOy9U+xenDffjjQ8lFuXKDUG7spQ/MI9USlKVwCeSRRfxxw6J/jI7S3C2IOGl8kTitY0Vd0luLhxy/hjRK+sQz9VoFdlSnVzAGPX0+KaZiD5gdf3+dzXmxw4426+1Cj6qXJVhmmW/EE4/Z1mYznGVhKbA70CcGlLLS4zjS6NxUp3jawUDuCmEivlTG6qsdQ6K1sF0FWPvkqCa7FUwbQYfe7+PUtiBT0rGQxrnF1qIKWPxaA+9Lu/sXGy5f+nhQtnrshtoBx8BZMWd6gclQ1iTCdXvqdkxe2QIqshGT1UvvRJkZVhimweXsUVGTvykQlVj7t41KXudg7KKLire/WUxVTZ7g86LpoZPB2Ryojf/8sGf/SlKQgCUDWU0jSUpa5sNo6CosHZq7TGlZnUaiJKUk6GZSRALWOJ0nbMb1ohyRp/y15IJS3CGrZvijizKHn0aZ9EuMkDRiiEEFkX1tq4Z5QRy/hKVF/biqjJwF6lt8L5gTENP9rZte5R/W8qblIxpJXq49oh+mXx3+jvNEYQJYJuX7LcsWzddd2my6645St66eLJKU3nDfNTCUp6rHYTXDJgdAkp7h4rKiw1rpnEyM8WLF95XiYAqu7JWA1KlbVH6sDtiPaWBRhKSaIq2lsVOz1UNqJSdkyS5JWCOXvHeDrm4FnJx77awM1fcexddO7nv18wMl5YVv7uaqApqi8ssB44TLU2pJwrmDfZpvm4hFSRqkyLp5p3v7rPZ+5qsO+0BzLCCskw9dBk9SL5uU4zeKZ54ieHakU6WZt1abnZWPlnkxmwpAVpnWzJdbe07ndYk/njJgtQR1bnUTZfV5qM3Ijrs3kVbyO1LVkkGqeCTt9ybqHH9PzKG1Jzckpvnltmur5E1F3g4WeniGK3D8zzaSX3j5boHl1KKkmdkf+2Gk2PyZKqjpWjz6sAd10kuf6uPM+BnFe75Rq8Am43kdVkj84OVMqgcr9bJSiZoDJ5kqqEv7y3yb5DpfaWQjrvu+igYd0LKBh/LcoLU6qTyvPRBuQRT7wykUob4WpTZJnCj2LNlZeGvPklPY58LCBKFQhNKjQDIdBpZt/l5EPuqFS9CVuGwBk1WitQtiw4stJ9RlVlUWHLFL8AIx3wTS5TKj54FexVIK8BexVTY5irypMRbGUBqxRu+u+qTNl/LsKbHtIOB+jErPLcyR7v/6RlpmaYaWWbhOYfSop1ftHaqLe6b2X1Z0b88MpFH08ErN/cMMra+euctXOw58xdAF1VmbzU3SoPIvMtTqRBy3JovlIpnhdz9Jziv396gqH0yCdolV3z2QpSrYGu6smRE/P8X0UpcpEmd3RZ3QWjuiVMWslsGqNIjSZJPYI04Sff1uNTdzU4claDisFoYuExEAKVlo6GrAabYyDPvXkL6PyGy96T1qXnLTZj7dwTNyNsbrPfY6TLn+QYWmsmZMCvALkK9jWP42xfOc3lcCUnT6/dk/CiK5Y502/TTxvoz9+3kfPnJQFnaASuMSB3LQpvOpce6wC5jKWqdxRFALomuMiq3NZjwCqwxRhr54mUUXCbUqLIUQbXI/52BuYRv7tySMfino7oRIbf/ewEZy4GoHRmDcpMntgR37t4XrkAoyw1muhaF+hVqVI0HlR7NPMUviyOohlCKtJEs3U+5Eff0uVXPuLTjl1AYK0kNMrZhqkomI5UUCrsEuTl/7vvqOwuzOY3lY+ydHyktCWD28q1yyxDWzD48wScFUY2OabWk8WsBXd+XstiPkGcQL/vIevz3HT5JM1WDX31LsXGpkfcDkiNLv6xaiZxXQlSoW+x3oergDpvVXL7Lo4CYZy5c2CXrF1OaS3YOyu4LwFdYXJtMkY3hTRxcsRUpErO2EnxqFWMDmI++bmA3/mzCULjOXkiVCFPiqbiMUtsRHcXkmyNclyXxXNclVZhFfR5yt5ijCmym0UK37itwGs64cff0ePgCZ8P/aXT4qBIhWRoXMApUwoGLwuw8otVrTUq7UoH6lKyWJuxuSgLxRzpuFJXO5L4cTKmqEvP8GCqJDeCGbEuuEXl9K33PZG5NkZCkgr6Q8WR0wErScDkVIDeu2vITCPi4lnJYlsTxRUrcGxZKG3BdRh8zPceufBZGfLztqbJyjI6IlFsJcjMtuiubhmoqq6DqUiVHMwVJpdldWChu4tHN2tweQU+9dUGK2EObgdwTzrtrcWoPBlZdXJCGLsg4/iuau0c5LkrMFLVN771ohmrE5cSZRTGaJJUM+mnvO01fT5zb4OlrgIZg1HEOD0+Xl04ess9P5O7PFCZFMrrU/Jg02YsXgA688mNZYyx3fVECMfwZFImX+nGEj8FxqoyZQRvaxneAnFsOXMhJtQxk90EPQxThqEhit0/7OmRfNsIiKtuyXp3mBRjH2KsHW3dgKza9lQApjIiQtoR7V1aaWuDynw4TQnudCTAzIPMfJ8bXWFvr5Hwua/VeOjpOqaivV1TQy5PRutNitasKruM6PHye+uTeMaehf1VSpTxZghbDTqtRNnSF09SD20Sbr4m4k039fnDz/ugIhASKwSh0Sgh3BYkeaApSlCPy5XcGrTW2bU5sytZyigrK4Vi0s14GWFu6254W8GAyUksZ2ubf6+0NEdAO4Y9UWGOcY2efxnrhqvWa4J6DfRf3BfQWdWcP50yP+1qEarMvQ4JrWu2rxf9jgO7uAmkLaXKGGMLMcbeYhTYpYuSvVYWnY0YkzJzTKTNdHVFkuSOiaxIFOnck8CLOXJS8pHPtTjf9d1+19INeleCcseGsXhhje6u+s7rnbixr5FET4XZ12y1mO95NNJ17/bPcY9u+5ONzZQffFOPe58OOHJBgogBhUEyFLKyiRRUy2jFyF1YyqTi/4tsZnYdqmwu3PMczLlsyVdi97189rvI9HZVupQMXkrbajazCvy1VSnleXY/p6Xg0u2SW2+M2bBhiB6GluHQEsUOPJ4uQVutHrTVc8DaO2jc06wCGkFliRzV3fnSVZz4or66wtwqB/wYyIsZ2ePP00J75yyu83HAKkHJFJ3Zgr4fE6aGD3x8gq8/Vne9bVI77S2l69oR5fyV4rPmK0v1Zl6HyasXoor1tRnM0rUo93ivls9Wy2hdu5nJHZXUkEiNSjQvf2HEj72rwy9+wCdMpMtAGUmSuSrSiMpnsxmAKsCxriWNyudzr0UlNsi66y1YabMAUxQ3QBF0Fje9LZwWKte/akqs8cQLnNkRabye35rfjFKA9CSeFtmmvQp9+VbNalPjJx6TzWxZsZVmh5F/ZH1gV5m8+uh+zo42EI9pslLHrsPelf3n5XryRNqi29ttm20qEqUy9jfX3dmM6yK4lAmen3DnIx6f+XqDMPKgrgvtXbB3Edgycqzn7Y8EROQB5/r0XS1sKtoCR8ANVuVVhqO14qmRbgv1CtCTRFNvJLzt5QPu+PqALz+inG2IBCGJhWaQr6I5O1IWZIFjYUvldXFU6lJk9jklKHLM2Oz9LBbJgJ5fXysEJqtstDl7ywqevoG2HsedHTmHucRzj2FkCEPLoVM+K8MG+qpLEnrdhFkvZBhLekNJGLmxtOPBEJVfwvN8mFJTlQxejZrHWVxU9XbVW5YVxyLXv8V+6u51ob2LSaglsLUaA7oqwa0zcPtezGrP8rl7Gxw4V3PSRLiSWJFrb0FlgpRdA+7ixi3+flEB+jfQJ1TOqxWFJTeewi7AvWY4UFmjIqVCmhRpNHGouXxTzJte2uOhfT7tKEu/GqfHIxT5PhCSzBsfKaMtqdLikjsFmKRzW1TW0layeS5VsoSPyGrIC6BX5Ej25yLyCsRK938F6Ovhq/q8xKU7b0lqiWJDf2hZ7cYE0wmbugl6ZmYBTy/QXblAI96AMU2SxJ3wYnfisYsy/gEKps4Bvk5wKXAnIgd9XqQ0wt5FgFkCuwR37oOXwaUsBrPbEcYeCSjzRE7VRZGuU96Q8gefr/M7n25hhXa+9wh7U2pvuc7nHgsoy3Pyjaswq5p7hCVH9LctVtLxVrZylwODSSVGOl9cSUOcekhl+PG39jl81uN3PqOJkxLkBkEoJMrkgyQycFdb2wpQ57rCLQIFDoQtu2pyoAsH5LyFQIpcqpQjJnKr0GZgz4HvMFG22pWMndvS1ffWnkNr3QDRYWRZ7qUshgOWB22Cvkb/4e2zHD1lePzJJm+7zbJhSlQsnrKccvxrvaVjbbJjNMs3wuDVoLLyXu5x58xezsTLvO8xx0Tm4FZj8mRsz3qV7T3jNHiM58ccPi/5zF1Nej0P6motexc135XVRZQJnhFJNvY8D46+GYfbUgNU5ECuxcu5Jcbk9R4VoMsc6BIjnRaXUhPHKa1mwltf0ef2e+ocPpclFdyAalIhGLi1xn1Gk4HblmC3Bagzt4Qs+VMsOLmTkqfuHXu7Ge+iIk9GgZ5LOpnFADk27BppW2m5W+ckVtcbm+HV9xTX7034rhf32L7DIj0PvWu+jp/UWTnZ5PxCHSUltaAMoDJpOPIvj8z5HgsMxkGd/4zMNZcYZ0A7Ik9EMfuudE8KcOfMLaqD2XPnxIxstyErskTKzDHJmFzrhDA23PFgk68+XnfDwaXnAD7G3nmRlxKCkWCYahA1xuRi/YvyvCAfB3rlMCbLHha7R7utSJzuNqVMMZJUSFQqMUIRh5rXXB/xmpsHnPqCR2icDs8qoUjQDAVIU9m2SojCwM5TP2oMTkWtuKAAvhWiJHvrrqkVWeA5AvQyo2oK2VrOyhGCwl4sJ3Nl/2YBPoc/M3L2XOXq9IRiw1SLM+d8dGMTrYk59N7Ldq5qmdy+uLP1dwPPVobLl//4OMDzhzXB5Jqo2K7P3gWYqSxfOegrjF0AOwd6WTY66pyM6m9VpN/TyvMEKV2njvQT7n7E51c/PElqdemcSIUQ0u0DJMq0/CiDVx2f9dn7W0hiltcmZ0DGZYodkSuGfOpVVowlSkel0OTSeePCaJLE4PspP/dDHQ6c1tz9sMT4IoOs+wNioxhQFVS2IkvW0eSFF56ttvnnzQLKXIeL7AYwlKMkbBUPlEC2ooobh95R4hztR6ie23IYvrsp09SysGIZhg027py6ffPUjlV19ZU7er328pFGTfxYzU+cOa5LgI/o6lyPVgLBtZV/tmhOWK9gqlokVabeczuwTMWr8erASkBZFFQ9D7irUkWPJHRcr+XpZcGvfmSSex9vuk15pJ+VxHpoKahLCCTZJld2be32yJE1QBdDckaHEeU171KNNUxXzlv5WlRu+rGsbpUMKnMAxbjUq37PwtxsQqAtDz3lszqoXNQszMyniJcVhxTaV6y5O7+VZUmMSIdRt2h0gGthPY7FJOUmVZX/vjA8KuZHtVnbWFJjiWODVD7nLyz+4FNPP3dAz7SMI3lrkCJFCLf7VlLUI1fvlMqfMcLWpVaqMvWIHQjFzLpCmoiqi1LdFmNUmsh1NHe+w8C6h6oGllkpbPY89VM+8tlJ/vxrTWxNgVAOnUIjpBzptyz7G79Bx3yVfdZLrbH27SLBM0rkI0NsqoHm6PzCLMjM5gfajLmtNWWNipBIo0iFRg5S3vbKAc8d9XjfBzVRkFSWXYE1HiFZk0sefKXOxLbYCihtJlez7GbWmJ4ZQC7YzBkZx+ZSjC4I+fW3FY1dYCR1d5nMxrHlBVtljJfLk9Gg0AWYkGSzfNwMn5h6ze0Jql+wdxGBBBsxHCQsdWp0+pphqNxuatXlonKx1lg7leVnLcjtmESpOieW8RG8I2DP/W6RAbyivUcYXKYVJ6UK7hRZqT358sMBH/5Ck2GaTcEXuTWYZS2FHdHe66bmq0Cv3uzjgecI2NdnP5sFd7n3vCajiV1TQmtlJbMpK86KUK4wS2bFWdKQGk3gGX7ojT3uf9Lny487uzD3xpECYzWhce1ohcMwbh1mSC2klBAocmlSAXne9FDR3PnPFKCVWclAhSQcyVYkSyZPipS+sKUWL/4vswgNhBF0h5YLq5backKj5hhd7z/VRinJajei7g25bPMUw3CKgR3NXrpHO3pBxwNKUQJ/BNh5an495yQHeNUerIJblDt7qTU63Ix64OPsLdMywNQx/RB++fcmOXomwOpyt+QR7Z1LpBFgjwGadcBcQFiM4vkbCPLxJNpoRrNafFXV42trU4zMKg5llcUVIjUIoZGR4ZKtMf/mh9vc/zMB3WH2xxhZfK4UzTCTAEVxtylBbiVgMlBbCodFZQGllRTbplqR63BbSfJUcgb5z1RwgBDlDVAl0fwmqBobOTVkp1MKSFK42LVs29lh6+yAJA5AWPThM1fRrGmeOrbCE4eP8/dflTLftAxCt8NWmcRYR3as+SBjwK8Mg6zOjC4lSmX07roSxVR88EpfYsbmBXOPuCaV3Xkzz1vrmCSF3/xki8f315znLXPmLp0TT4zKEiVGWbsag4wzdxY5UR26uR5fr2HyMeekbICoZulcMdOaakPhGLwIOo10IE8lRmRHmkkVY7jhipif+p42/+XjU0RpxuJQRIUpitDkWjzLtVdAXkgUUclyCjeBwVbZXIIwJXNLWdafiwq4C7lSXfFtRfbloM4xk3uJFd6Q0m0kFqaSm67p865XrxAle1lob8HTIfrd73wtM5Mt7rz/CZ47eJIHn5jmyt0eU01cDbSqgrKUFmvZOvs58oDUjkmVcQdlFNAl4O2YTBndn7Fk77TU5dWkzsiRBZa1lK88GPChT7ZoDzznAWaeN1mTrnNOyqxltZRXjXzutfq7ZJbRKVbl/mpjgB5j7TV4HwG6pZoAKlk7mwqbS5JqEkg4GzGVCmmNq1dJFBM1w4+8o8+jzwbc8YCCRpIxdUmFiZEMyWOKEuQWVxpLYVs6zzuLVV1Zby5hTAneXL7kjO4YXKwD8Jw4qhMKxFjzRNl+l2eOlQTPk1wy7XHNpVOE/R5zu17EpS+4iSTuoJdWW6S2RbvdYtqvMT+lijJNKuCtlrWODzZfl9nXAXZ5g9iKph2TJRVJUsqUcoddB/B01O+WzgqUxb7qLrCUMkHqhP3HNf/9ExMcXvKzO9axtnuUJXtXGp5HQL6ePBmRJmPTmp5fcpeydqwWpWTxMrFSNEKwXhp/bEhQXohlTbGprMilirAIqZGxZc9Mwk++s8vx85pDZwRWVwWWAOmRZiBnDOS5IFYFhWZ+N2QsLopAMy+yK1h8XLrk560iS6rJnudjdTLcWFlm2d3blgtLPlrMctXUBJs31ojCBL1pWtBowp4tihdcGlCvezRqbhJrYdkVPvQYM1N+EDn+ocYDS1kFeilPRpg7kyoqkyElk1d0tzLZ6/FkTgl0pVKkTPCDhPNtwS9/cILP3NnAeqpMx2fSZD32VpUbcK1zMhrdjyd1qoxe6vBRwI+w9hjY8/fW1qRUdXgO6GoAmnf+OAaXIn+eBZ+pIcHgSeeqtEPJz/664sKqgKBKtwKLLpi8lCfZjZY/ZqytpHMu8kSozetSRFlsVQSZ0rklueOyHoDzljdGznvuqrgTa4vf6fICcWrph4aFFcGFRZ+Nl/jUpjX9vkZPNCStCf/8zKT80mWXzL6u2+0R+KKY51cOlhy19QRUtqool5ZxBq+y/miAOVZzUuhwM+KcVLeOVpWKQSVytnaZSpm5Ju65qzWJMPzlfU2+8nAjqzXJLUGZMXjO3uWuwdV5g1W3ZE1ZbEWLV1e6ceYuwL9eyUO1FqUKaErP2JqySq9aaSgzNyXX46kQCJElfjJnRUqJsSp7TyKsqzgMtOW1Nw158219/uh2SZQIl7bNP7wEi0diBcOsM9iKqkypanI3stlmCTlbaG9XkCUrVYky+17+KMhqeyqOSiFZRgLREmPu3xGZVV5WEhoDYZjQbE3Q6fMlg3d+GAnU+/7zf+O7X/+SVWtZlSL6/mR4gUZNuP1r1GjyxTFqlrJW2SD04v2xpI7K5cVY+Wu1M6dSVzJeCitHrEA7Au4qc1c74nUGbq0TUmn47Nfr/PvfnuTY+SBrYigTOkiNkIJAQk26QfY6GwOXzxYvkznlaDhnH5aD+YsptwKklBTbqojRIf2ugVuOJm5yp278qAa01TKGigwcSbghikBufC536VKUNybGMjORcuWlCacuKg6d1C7hU9yN5d2aOyDl+Ivxnxm/k8dv8lxArFm0Rv1/UXljbLkbzfKOrmzGWNIUosTS60dcsnsXc7OT//zQocMPvvY1L3d79MxMdNHKh7CHHYQYynLZkY8pwW0ymjP0uFyxawNMSt096ntXNXjJ3KU0yWSKKl0TWZEiObhlJaDMLUHPSzm2KPnQp5scOBJASxWSxCV2nPbOpUnRZ8m4R8/6HfOVYLO45GI0oBz1wPPXpYuyXrLHsbYZS/iULoosMn6j6XspwBi363DujYuC2WWGReOmXlnnjceh5Yo9MT/0ti4PP+1zfKGyVBVBp5MhCYKhcMEl2Qi3fFOEXI7kuryoURlVPY6dpfterrulKFnamgrG7Gj6fuS8ZyEBwpUC5AyeWuj2Us4sREzOhQyHEZBtQrVp65Uo3SDwh9joOXoDyTDUJKkcFfJjUe7z6e0q4KuOSVW2VPc2lyOa25RaXJjK9wxl4VRFlhTvZeytUpa7gv/2RxPc9XitrBLMM5YZuJUk26G4Oga5tD5V5aSuZwuuB/xxC/xb/ap2169hrArInWRxgCpkiqiAv5LplMK6BgPjzrMRyr0Wyt1GwpD2Da+8PuT/eE+H//B7U6wMcmBn2sOIDOSaRIrCQclBjnFAJgd8RhY2kxB5Q7LNziHZDeGclLKYaiTArIB/FG9ldaYVo+cuMZZBCCtDzdYdO7jlxmtpd/v5PQq15lam5q6+4/b7L/zqsfMeNS8ZqbvWarQ2RK4rKcbeV1VLz1R+fvR1wcrKFCn4NUkcOVpnUrK2cQVUlYTOUFo+8OkmH/xki27sucKanLkz18TN7iudk5GiquJGXpu9HGHqdcE8Ouf6W0H6eHd9AeT8e3Z0KR9N+Iztr2PH2tyyuvG8vS0f4GlsuQdnS8OPvaPLj7+tS90kYFKw+WMMJgGbYI0lsRAaCI0gzo7ECmKDm2VuXYlHaly2PzXCPeZH9r18yxH331Tet/luc5VtxbP30qzWJDU2S8tXD+iHcN3lgsu3HvvVm190xR17dm0uAd6c2Mbv/vav9s3QHlNilt5QF4NdlChLVUcBPFqyWoBdlMFh+TPr3QQVYBfMXQkiK5JE5s6IqDC4GmVuKRPwDM8d8fiTOxp04mwyJjmwc99bIsikSXGUQXQeN6ybqazqWErWXpOar/w33wrSy3a1McvQ8VfBzKM3QaUpuQC1HH1djJrI31PYrL3NWIU1iiRWtLTl+17b48rLQmSaFKAeBXtagtxCZCDOwJ1kwE6y7USSKkCLXePGjhzYab51YgbmCtCLn01L4JdzG8ubQgDNwODLCU6e5Nh7f/U/9i/dvbWUKACve92b8Lwaxw7ew7mTDxP4FE3B4zvWjsuQ9fzuNRq96qJkmrvU36MOiqz43tXAUopKlnIsFa+9lKeOevzUr0zz9KEA68lSlhQMLiu2oC0G+Yzv1LCeNbieTBlJ7FQCsdIn/Bblih19OuqLj9uFOElishR4NownlyxGuADXWOmWe2sxVmY/4yZkCeO88RQLwiIiy3WXxrz/Z1f5sf8oePpwFpzI/MOIcjnJ5IrFgcyv2IdG2gxQTrLkq6JzVGyxsbhlLF2f/S0ikznVQqtCvqRrXaycZJQC3xquvPxy3viGl9PvD/nX/HzJ4AD1xjSN1gwpDYahY4gcgKMuSrX4aZ0m4HWyjiPMrUz5fTUK4kLCjEsTma4Bd24HOnAbulbyW59u8sS+gFRVWFuU9SZQsQVHQF2taCxZeXzu4JqxEGL0pOcn/BuUn6wrT0YwXslijrP6WmZfK1mq+23mk2nz+hQ7NhnLWYhu5wiRSm64MuQfvbVHS6auuGMdFsc6Ok0NRBmbO6ni2DqxuOe2IkFsvguaKOWHHWXqfJpumopRyZKz9fjzoibHnTZfw8x0g40b5tiwYaY4rwWDC+EhRXA4CBpHWq3GHi175ZTZfCEdqxAsvO8cCIyyd9UpyW+Wkskr7J1LGmEckxf1JmkpU0Sa1aNkYBcJSqRoL6Vv4EOfafKJrzQJczCPMTfCWXRFQdXzsPdogLOOe5KDtvo8t9DW2GPfijwZZ++yPHVch5uc+cYYvZQsFmOcH56zurACkdWoCCudQ2Gte26yoNO6HfV8YXnna/rsO6H50Kdb9GLcCcupN3/MGthSIyk2T85S9a5GxmUrc/YuCrJEHmTaokIgP+9521mxMlYrC6vpekqPHNxjagxzU01azcaRZiM4nKZxcU4LBt+4aQtL5+7+0uYNwUe3bp6g5kfZKAaLEKMsXGXgIugckxXjz9XI66oUGc9GVli7ag1WwF04KDqhG8EH/7zJf/zgBBeXvKK2u1pr4g5RYW+7Jlu5ZmZLtfyXMbBXX4+x9sj3xDcGd47qaqFV8d7IS5Ex+jhbV1L2OWNT+b4RI87KqC5XI1sVuhFwik2zhp//4Tb/8K1dWkHiBLBNK0weu0ebgjUY4/T40EBkMk1e1eI20+i2yswV3T2myXOWNnmQmm9vbke/lz+PU+j2DbXWHFY1Pvqnf373l7Zs2bKWwcE1bUpV//zURPQWkdjrB2FKapwQL1iZ0XqS6vtCrGXwEcbO3y8yoyXQq8ydA78IMHNbUFTKX1WKrFn+/PMN3vu7E5xf9sBX67D3aMbSE5UuIjG2zw4VQI8zd8XnHknHV3hajL/5P/hVTWaU4BfFG+un7stsp7HCbaMtSmALW3riQuSsTfYos1XXsThGE0eWzdMpP/8jHZY6ko9+rgW1bOlYw+TuyyCJcV62LypFV7iBnCWDCzeqwuQeeFbSZUvs5HJs3Iqt2otVQklSiPFph/qJRqP++cQMR86prL7YdukbWTz12XujMHrEossAgxKo4/p4lK1H9fd6P6PGGoPXgFumhUPyfOCWMkUFhsOnNX/4uSbnFvwS3GLskBKRae7cOdFZYmK8U6faCF2AOT8DIy8o6iKq+vtbVCUFmL/h9yved3UI07oeOTlbj7sq5cAg16yc93HmjyWLpxWHJYkkm+dS3vPdffZsjyDK9XfusKSl05Ixuc20d1TR5OVRtQvz7RFLRs81ez7sv6q1x90XY8ezohZfK6IofOQDf/SVe3/w3a8bOY96/MQ2JnchkETRAcJ4iEWilSm0dhFIiuweHXFZ7DdgcTPmpOQJnTKRUzC3MIhKYqcEd3b4hiNnNf/X+6e489Gaa6Ac8bqr3rfzvPMxEFqu1drrDfMZ+ZmRwUVjMoW8K1xUmHw9x4WCocZdkvyuqO6Fs2akW+6PZ5m73PfO3RFh3cZQ6xVlCRyohJFZkkhmY4cNwsg8ZCUVCoy7jmZoefWLhvzST7X5hfdPcvSc7xgCigRQlsMvaNLisp4GJy/yFbNg70KXkzUlO0bPNbUpznGlyjCreamWLwsrR31NIgAAMB1JREFUENm1BItfr3HN3h0YY/j8GJ7XAFzNfDdKqejxx0Lk4CgbprOxDMIWU1sLqZG39ufdFdUKQ8qbogT7mFwpWLwEuCjAnWltUUoVKROUZzh+UfNvf2uST9zRIBLZblSi2l9Zglvi2Lus815n++3xho2Kk7LGlmL0Z6p24Dck7uo3x+i7WJZZq8XdY6VkNn9dqRMnB/1IZrNshJDGQdgIB3JRZEJzwJdRbC5ZEmOp6YR3fVef1MAv/OYkJy4K8LLPlG3jNCJdUFgcW+cgzns7DW7Mm8UVYClbyhQpbJEtN1CZOlsSiMlLcCvXwtOwYVrwmpfP89a/+5ooTVN+7Re/CcBTtZHWTPNntmzae9XFEwuvNGbVNeDqFE+nRbC45tplXR4jTC5t1ntns8rDXHuXgavISl+LQFakRb2JEKPJHK1TTix4/NxvTPLJLzeIZLb1mljvqGYsK8PrM/JZV5owFmxWkDvuf4+Aepy2/wpf47iu1oWvTdu7X5rv7ZMz+GhjBKX+HtHhVZBn42CzjlCTgTtvBkgS8HTK971+gFbwr35jihMXfbI5zKM3Yb7Hd/ZNgyh0eSoFXsUVysdISLISA1lhbFsZG1GthRJ5zY17U7stKJiZanHJrsu/tmnTzp+BlTXnVY6/sWdri7P7v9LZvjk4MDMl05qfEvgJgZ/ge26en5fvCKyqWtquzUDm1qAsgV2w9Xh1YMHS7lEUWc0sU6lSzi4rfv43J/nkHeuAe40t6E6IJ0e7dNZj7xzM1Uq+8mZde6wXYOZXewT0/wPoHg8wx33x8k0nAap6O5c7htEh+nbMSRmZc5hrc1NujZKn9K1x/rgb6CnRKbzzuwb8+59qs3k2rnji4/54RaNbg7EQ51nPzFWJq6n7TJsnVb1dpPzdERtBlArCRDBMBINEMowFw1gQxjCMVNoP6wc+8xdf6ggxs+bU6vXOtxBgk/ZPbdogX6zN8IaaH+F5Ll0uMsHkEgWlbVUCIi+icRJGSvfNQnMXzG3XaO48FS/HmFspQ+IJfvezLT7xxQaRqgJajz2Oed5jGctx3T2qq0uArjceoup/r6evywHt4n8U36PZzDVJHTvinlQTQLkl6ORNdbdkx44jTkrFF3fSJFt4s4Ks3CdPs39YuNG2iBQ0Ke96fZ8Dx/T/v70vj5Pjqu/8vvfq6Lt77hmNpNHoPi1btmQk4RMbhyQ4mIWQC3JCCITlWkhMdgMhIYZkA44JR9gYY3vz8ToE1sFgYwwGfFvyBUi2LGl0jSXNaEZzdPf0VVXv7R+vXtWr6h5pJEuW7ez7fKTurqru6a76vm99f+fD527JwgXCXm4xr0r0t1F4AOqQmtvwt3LINX8YCb87iREHVCBI+IEkSPa3XIGqx1F3GeaR9C/GJ8vv62jLtPz7Lb/WmvVvQCY54XV094lyo4pCtoye9ml0txXRlq0gYdX99dw96JHK0AWosTcRfh6JqszRNbVmUBLl524GNwyC+x9N4s77U6gHHYV0QGvsjdBrEq6rowEaOtDDourIejskBnI18bV/8nVMFGrsD+09JwW3dmBEpiAWqocOeuJrcf04FclEhLUDH3nM+AwfaSzi6XtYdDb3KGwu8I6rK3jD5iqIx2dn8uAfDzwsnpCJWg0hc1jcSNTT96L4jM41lnc4QYUTTDvARJljfMrB0WkPozMUdp5j6apF4kix4V137Rtbnl9jthPP01fBdap3lhu7lpvmjvSOYQ6XC2QsYF6bDdOg4E5z90/ZRsvX2QgBL1lTdwnGmJuErkEZlvdADQ5iAN99OIGPfzGP5/fbfsFwC2DrhiVR0cq4YRkN5ETbQQjEI5gKxLrHJa5bIqH7GKhPCu5YGLNZnpDQBw7dsIz5xFUVjYgyvf7IIywOIPCeyFWFCah0EggqjU0iwDkLvgYRAsID1i528PkPFfExBtzzcEqyOFN5KkqH69OUAkJeL0FkIEj4xGP6dyem/VQ9v0f4rF3zAEoaWDN/GgWrDodT7DqcxwXLe2b+5B0b7kwnk/jLD7Q+xwyzjJtuvBFv/y+XPO2R/B/eeu9w/n99rwv/8WAeL44IbFxVRzphodFgwWXUw/TNAR1di3vRKCbxooyu2JtxEBP4zkNJXP+lHJ47kJDgVtKEmlFpojIFqWRui4SrEqvFoww9yEM1Vo9V00QrbEhYeUPkLTKUN+FKdOFjuH57sBw6CZc+J9r7CYl+j4h0ilTmhBVEoWQSwfsjdx6q+fG1SQiEx+hGc7CfiHBCqudqnyZBwYHuDg/rl7sYHqXYvd8II2St703adCc+UsLmmUF3chE7Uvu8ukPQnZvBx39zDL//yx4uWy/Q11nFxRs2j4wdn37neWu3OphlzMrgAEBT61FvFPHUcy/AKdVQmaGYLFKUKwRJ04Lrsai7sKU7UAI5moui5Zf4j0SB2885gQF85+EkPvGlHHbus6Pg1rR2wOQ+05qBNGlu3hP2VxQxjX0C37XOxk2gCHc2Xd9T0OHxFtUBW2v7w7wUSXVBpDDC5qFPXK5EHGdzlWXIm7Q5/OxD+HkqXNPmqlMbUahsAGsHHfzt+4sQAvhewOQxfLcUwDRwJar9BghABAwRNeIpFTABcBPI2AYKiXZkrCScmoFfudjEmgtXwE7kTnhuTwjwgfkL6owPvfftVy7+5vPPv5CergB9nTkcm7BA0ZDeFH/lYHoicFPh+8V1n7fnAz8EtwI6DIJ7Hk3g+i/m8Nx+qwW44wampLtorokqYNBaVCCqq5skScRgbMGAOtgRWwGahNvClyeHuKpHbJInCIELxaKB61CXH7pGDz0qYSKWCGSJXg0UcRsq74oftQl+A5WN5eGXkXk8nHRoAOsGHXzuA0VwAdz7aBJ60Cf4zi2HZBovYpyGKz0QSI+6QQCLCeRsjp6MjT37MyiXDByfFpi/YOnMvGL6vf1tA/XTBnhbcorPu2Dh9oW9olie3p12hik6cgbKMxQzSSCT4oFnJcwujIObQw/uxMFNNeYmjEMwgu8/nsDH/jGH5/dbgB2rp5wF3FQDt+4ObM7zjhfwhsZmPGMwqAcMwE4iLB9cmOACabMg3N20TVep0R0koOt4Km3U6NTArU8Grn2EX8dJEAe6yl/xexz6WlxGXSSLc7/OjKjlG3xNTiFD6OpbkQbHmkUO/v6/FiEEwf2PJeABmM2jcjKQq45aFGEAyGRANiGQsynGpxiyaYGxaQ+vv2pLkSUXbR86UOYn+Suzj0y+A8zMj49N1t6W71rjeNxFNg2YBtcCIrMlUemhed4kS4gWoWQ+cwtG8MCTNj7y+RyeP+jnl+gyJGJchhKFIAzmBCuiRfJMopmCcVuxZXpsAPLmbQF2Y8fp2091iNi/YLu2sSnACc3nrQLugZtQ3xfNFQ+b6bf2rgQ+cRHNG5fbWZiNyBl4A1g94OALH57G5RtrYNzzu/Z7J/nHg1ns+f5yR3cJ+v/UZHU8gXLFg+c6uOqydU4mWX9bb3d2vL2j82TTaPZBSAK79xxEZ+eSw+etWbNvw+osugo15DMNJG0HlunK6CbTZQoPopZEyz/Rc02IlvJKFXMbBPdvs/GBv89j90ELQZspEtfdRuAOVEkiEWmCeHWOHr3UWtDpwG4pWZrbrrUEtA78+AwIDzkpuFuF74OIJeJ6mwR6PO5K5MqNGHMZquhmmNMSlsGpQE8YDKJh4YSm3cMaTxaC3mMQDYLlCx3803+bxhs21cA8T0Zt5gpyEYK8LoC634+l5hFUXYJKg6BYAUaPN3BkIoO+vjX7Vi1denhyfBjtOev0AQ4AjDE0io8enNfZePcVWxdgUd8EOgszyKWrSCdrsC1fiwdNd6IFDlHm9sL8E+UONDmEAfxou40P/UMeu4ctiFkNSl2WRMHNSOt+3rr0aFl2FsmfiWK0pbEZY/IoeEXkOLl/dniLpif+S43GdQkS/gURAp/HZApC1o5MDOh+ch3kFNH2zDTIHxdBdFOBnYUg16uCBIWoEyxf4ODGj0zjik01UM+D9AmeDOghyLmQfvIqB2ZcgmmHYKJOMValGClR7Drqwcwtxv4jtXffcufDBymd1QkYDONkByxdsgDcLYGwzNHKRPWhmeSPL2GYhmkAjDoAIag3ZLI85zQ49aFHJZQjhGiBHCJTXg8dp3jsZzY+9c857D5oQVgn8nGHKbAqkSpouwY0Vee0kilRthYtAB+dBAGKtWhm0FRTlyva5FAurwj7n+Q8B5gW4QdFopYkBL6uwaWBSrRjREyLIzQyoUU7ud+nxNfj3P8FhOopADK/XFDqa28uzz2XBigEC/x9lADE4Vg54OCmj0zjk1/jeOLZBA4dB2DNYm0GRgsNJ7OyFzwPjuuiBoEiYTgmBLo7s1i8cuVDb37TlqOTxSoK+dRLBzgAUCOLvbt/sJcauZuKM2svqUx8FzsPZnD4uIELljm4dF0NVKTgqZZeimsC49Jr0twswbH7sIG/+3oWdz+SwNiUKZm7FbhVdo/m+CVEbo2E4SFBq/c40ZOrFCjn4j1pYns/KBJVISTiZWmi9fj2VsAW2m4fpMHFRhO5R9la85REpApBGOX0jU8OAcLCyaFyWEjA+n4PHCHX/FHeFE41XAvpTRGQzB/cVrRqYlr3sGKhgy9+bBp3P1LH392cxZ7DFmA3oVt+MT/AFDlHXMAiZVx54STOX9bA4XETz+wC3nHtlVi73LzpR4//dO9Vmy+fC3TnBnAAOFJciUSyffvRqeJd9/5k6i13fP8oirU0Vi2q4Y5PHEZvQbI49XsGSmBwTZZoOd0Jjr1HDHz6qzl864cp1DzmuwKp/4NPwN7+iTAQDcVHpAliwNbYe7Zt0fTXEKjB5hYx+FC6EJyUok9hNIG6KTIZnQhRd6Kvq1WedcDsaju0zEPpMSEkGvGk0CaBKpz002s5RFgar7v5fCYXBKAOR0/Bxe/8cgW2JfBXX8ph6IgPcs0tGLablQ5wdTd2BbCos46/+f06Vi7kmC7P4GBxNeYNLr1rYMGi7cDknM/lnBw6AHDpRQsxNX384Ib1V33wwPjiu5OpHizrtpGnBTw/NICxyTxqdTuUKSQMwTMd3BbH0GETn/qKD24wWbBAdddfK1mipEuYFajYu2mx1riu1h9pDLj6fh/IkRyUOMO30OqIfc6c0d7yzk18UOu5J9HDo16UqFEZbIvlnyDiYSEa+0crgcK6zrDyR3WvDbvY6v/8qiDBZFMhbsj6zjqDzQXe9oYqPvm+Ihb3N2QBZaucFXAQCFgEaDMFBrICa+flMDOzEHsO9YGyedi4quvugQVXfRCYOEjIijkD/OQqXRu333wjLr78TdMXnzewrjo5donpHsfaRTYK2RTSSSBhu75nxQ3WxNHXp2Q2x4FjBv7yy7JYoQ4mvSVNnpITg1tfYlsPw1MarkzMAsCL8LnWIFTJEKYpH7mfBGF5ZdvK52H4PWxwqdZl1/eR6LFaeD583cIABsJIK1pLKRpUFsXaDSP6WcHfhvDXw2llY6joczivIr79YGJr3br8x6htot6sDGrVckRONIsKrFzioquT4+mdBqanidYXD8H1JpTBZkDeEujNCvR32BAiDQggnRtEtvON366VD307kbnoVCA7d4mixrpl8zCwcP7nRoeHFu99ofyOjF1BOqmvxqCDOlzhzAHHEz+38ZVvpfHNH6ZlJQ5rpbljMiUG7tDfHfWahPKjuc4yLkVCIzO8bvEc8CYJEt+ma/jYOB21EhiYEfmh2zRa1FM9VwxMhOYlUftEuH48EMoV/44QNgyCFgwK0wS4KoGDbMlMqXxURialWtBHfV8iwsmnzo0DWIbAr19ZATzgy99K45kXEqhz9YOl3heEwuGGXPhMADNVjiNjHnK5XjTo6jtT7Zs+V54+fMrn9ZQYHAC+/E83YuPGzfXe3p57KqXRy9oz1YULeqrobq+gkJlBOllFwq7DMBpg1IFheKgCuO2eNP74hgKe2pWAo8rMmiKUMbBr4AZ0f7fez1tbvFY3LFXHWNosX6jO2tok0NsiR/b7CVeKyYMEJxpNtgrZmoR3g7kwOLQ7hbZNMXb0dfT9IcuT5ol8IpZveq13LyORz1QgliVjfnmi7gBVs16ETC6nJfUnGYFBBFYvcfDWK+qYKBLs2mPAUWVvfh8ILihcQeWKERBI2gzt7W0PX7ThgrcP7d1VHlhy4SkDfM4aXB/XveVN6OuklWuufv3ORf3cKWSPI50ax8hUCdueq2OyVoNLGjATLioEuPW7aVz/lTzGiiYcYvirLOitjFtobwVufwSFw0Svig8v3onarjVddMx2kUM2ity61Wai55pE1bYCb9OYhc71Cnm5ofUx+gdF20lEGTuek9J6m67V9eglfM+I+gctCBTvj0iD/HIe0+RCCwaFmlxVBhmgHkVnhuOGPyniXW8uIU1coO4ghSp60tO4dN0IFnQdx1SjhpEZFzWRxOu2vLExMmFVLth4NU5nnLJECd5oMBwc3vX+qrlk61fvGV3rIYm9L+YwdJBjy9oSNq2qYsvGOrbvsPA3/5LHVMn0i4PjYXcakyVEkyryJSO6x0RojKzJEUSTqWiEkWIsFZMrJ3vUDU3EgB/XKHE8k1n3xMAMNLv69G1EAzaJHx9mD8KXGHKpkTC6SeKuxMhEIIHHDkSrCgIFFVxGNikPJoOSK5RScHmUlCt+M35wddeSjYEEoaCEy7/nemhPe/jr9xRhMeCpHRY2b6xj08oGLl4D7Nqfwu5hC6adRN/8rdX5Cwe3EXJaPPzSAL5y9UU4cKQkiuXq3Ufvqi7d+dzehEtMTNYcfOs+A5NTAseKFP/nvhQmSmrR1VZaWwGcaACPgjvsBNsqSzB2uwZaG3A6cHVcBowda4scHNsiZB8/GfGdpOVRJwQ3UYglrXYios3lduLr7OgX0X3ikffG3IWCI+zfLQi4X+ku3YRqAohILgu4lF5yIukgV4lYMrCnCr5lsx4K2XyfgvqRUQiCjqyLj76rjDvuS2LDmjquuohjYrQDg11t6MsBPfMW1zqWXH4jZe5/J6T9tAF+yhpcHzf+ww1i5bpLHlrcZ7FV/e5m0ZhhoyUP562cxGc/MIE1gw7u+XEax2cSgKmWDgkXgArD8dp6HsGKBKEr0ECou/USNEa01RkIWjO7vk3rZhXo7GA/iWwLJggloXfD1+gkcrwqYND0NcLnui4PX7fwerTQ4Or45tx13YtCmu86wXYRTFy0/Gx94pPwmKaJLkISUNub5rf63/8Q388tlBHpA1s9MiZwrAT87c05/GR7CsvnC6TtDJ7e1YXh40sb6dziz7m1Y3+d79zgvhSMnjaDq7Fppdvo7Oj57M5d1UapMvXp+fPH6TuudLBpmYVtzzty2WhmAjQBtbpC5PSo248WUlRRSpOE0UqV463yRyIrACC8KEqqtDSwtD8DRC9y0zYFRqAF47cQHgQnZvbZhjj5cbpkiTN5JM9EK3LggocBHIKoFyVgck22QNtG/NhL4IXx150X/lIplPsxHhnmDFqkQLK5WlVCLb+tssg9vwidCwqDC0B4INTCYzs78OGvuviN19dgM5vbmZ5Pv3C49/P1oWLjpeLz9MWNPzZf+lZMlWvVZcsG7rps6zqxtDuHrNWDYrENhJsgzABYAjASoMyCvnx26CWhAdKoz9jR9FeffSGta1/cNGcExlkKaM1asx0TNzBjCNbZKy5x1PNWm+c6WqbMaoamkguApr2BqCQJfXZR4MaNTBHbHuynkSBRdAWJaCuKMACkpdfqmYc8bAvnegYcz0TDsdBwEnAcG8JjcImFdDqNejGPoQNt6OpfLxYMDt5lJxrVd/7WdS8Vni+dwQFg8UA/2nsKeyqN7PtKJeMre4a30a62EvaPmJjx0rDsJNK2ZEOHy2wxV1lKGmioAjR8+YHmZj1RF1kL9m4F4liiVTP4o7dxHcQRMDcB178tz25Ztt5/MtbW/N3qpW5oIvZc/gERLUwm+iQQzSyNOKPHI6PSR05BtNpnv9EQIdGGVtr3pKAQQviMr24dMjvR9avzpSHLYBFgoNfDgcMcq+dRvOnKrXzR0hXvG6/378mTiTMBzTMD8I7e8/H0z3Y3ll246ebK1P6UxbNfqDX24luP5DBVy6I/CyQYh8eBskPguUR25dUYM0icgpYR2GRIhvIjqpNDEAcGJWYpcGihRSPheH2bBtZAymiAJeTE5yWSKqvLCjQ/j5SmxY7Vc5GEti3wpugg1Q1JglBywAeuMhyJZkQqcEc+gwKChxmI8CWL/yU4oqdI/eO+tOEq2c6fZB6naDgmanULHqeo1l205Qiue30NDz5bgbAGMFFiH7123cabJ8eHvPaudWcCmmcG4ACwYf1yzJSOehs3/8oQraVL//uuF7PP7mEYyFF05zwYFCjVCCrTPrjVldX0tgK4Xj+puwEjWYGIpb8iBOas7B3XyTHwRowrzXsSwXssXK2ZVj4QT0echEPEX5CQUQO29pOTmjwliGYn6pmFSgvrDB1h9ziLE4D4DKTnuMROXVRKEeIv0+0bpZBVXvIaC4g6xXQpiXLVBGMC9YaJ1fOP4+1vMLBsxaWlt167Yejg8Ki3aOHSMwXLMwdwADDNJEz78N1IbXp/ez+9ce2CB9tRL6Mta8AyCequB8+s49iwkKXS1AAlJNDapl/3p7Or0tpN0iECStEkP1r6ufX3BvtIE2vrx+lXczbdfdLnJxnSoNNeg0SYVwdT6AcnPh+Hfm+isvF9mUL8NwUSQ7G7T//xfocRFvcnhHRvhwYs0SaP/iPV9yRQ0kXlugiYzAEXHHsmTAwdSqBWt2GZAsenGHq72/GeX79sgmY3fOipfdN3nzeQP5OQPLMAtxIFAMCx8eLtV2y+0rCF9bkntz3S5TozyKUJFvdX8c7sMdxwB8ePn+0AkmlQwvxWD6GXRJ26kFH9wG8M2Hr5WUtDk4iInGj12XFMRoANNBFyKz3e6q4wpxGXI6L57zUhPMbOJ37U8sV9RtYZWwf/bFo8bFgSY3F99mjfH0QWC4Mqm0ggnarhxz+j+PStKXRYwGCPh3SSoKerC8vWbR1bv/51f+Y57u3G0oVnEo4AzjDA1ejuzKFaKd3yhsu3UENM3nD4wLautmwDC3qq6O/2cOmaGn683QNJyQilWkqbaic4YoDGgRgB7knYGyqHQvsszbiM+36V5NB1ie7/Da6tem90Y1NQ6ESAP6mHcDZdriZCbH8zuEWTsanySLiQcjDac0VjcSizNZwkpMXvkdcq9MQAstUxE7INhAHAND08tDOJZw+ksKzAIdwaClmGVWuWji1dcfH100XvlkLhxP1NTne8ZDfhbCOZyuJnzzx4c6GQ+vi6VbmJpfMn0NU+jUSiCkIJQAyYlCLFBJKGQIIJWFTA9NfaJLELGhBHTG5EopQR41MEsqNJ1hBfS+s4jk0C/XPh75/NmyJiG8UJUTvLaGF5RtyGOhCDw6I53aHrhYTRS90tCM0A1YkEIYvrz5ve18r/7x+vXIOux+A4BhzXgOsa8DwDgjMQzuE2HAwXCXYcAWiqd8Kykx+/74cP3FwoZM8SCs8iwAHg4i1vwqKekds6ujo/cGi6q2QaExidrOOxXSnAtpFiQNYUSJsCSZMjYUiAE9/CD5aKa3FidWC28pCoY6gOcqCJrVt6VCJ/AJG/rjP2rDgWOPVBZnlvDPiBN0RED2nOM4ntj/i/5R+MTAC0aCUBhHSuPitgmrDXjTKEXY/CcQzUfW9JvWGi4Zio1my8bmUd8zumUGqU8Wu/1F5aMDDvA8/uq9729re++QyhrfV4SaH6uYyO5deI+59OPtfTYe3lsK/95L+UjR8+3Q4zkURHAsjbHGlLwDYkGD1B4HgEDb/7KBD6wNXCUXr/QKa91rvGRsLusffpIfD4fkJJxN+uFxcEYXaqPScqhN+cEktm2dbk5vQnk75Gp25jAPHv0Wx0w482Qh0H3xPk72tpVCM2uaG+h9Q9yv5Rbtjw3IbL2FA/wYoL4rsBDdTrJhzXkG3iCEAox7KFNczvLiObXVO7enPXH7z/N5xvDvSV+Rf/6ftnFX9nRYPr4/o/fT9Gx8e8ZCL16OjYcGlg4a0QTx+1k4yizebIpwSSljzplYZA1SGY8eQ/QBqfoADV/FEh67YI7MQMUbR83szExL/aupbXR/wzTjSihuIc9UoLQR6xLwPXHQLbTt9HYo8CMc+HuhNqQR7lcVTGaKDjReiNAVEuShL+AaiFgGUTJ8ksApWajXLVRrVmgBCBpG0AEEglG6hUCTq7zq9dtKb/d+5/YsVdLxw44n3iT995tuF39gEOAFayE9TC0cGFS9b19i265Lqr7G/sfO5oKkVNdOYoUgkCRgmqdYFj5QacuguHM3jUAmcMjAiYvjWljMhW7kT5vNnvHTAtEDJkK2mjAaoVW7YC95zWwjyDIxLo8c8I8T0dkYp6lZeiGZuA3+GYaDqchIEcJYH8doRh1DPoiRieG7W+qWU6MJkDlwsUywxHx9tQqRlgVCCdlA2hak4JqfxGdHcufvcbf+m93775ztvFH77jXS/L+XpZAN6WJgDg/dWXvjHSa+765sXrVhhpsK9Mjo7l+7sMZFIGKAVSCYErLi4DbATfuNfG47s74CRScCkNTq8OulZ5KEBMbxONeZXnRHuta249UBR+knrWAshnGdsixtQtj9GOU6xL1A6CiJGo/OY6i4f+b713iu4+pBCCB7pc/WxKBAzmIp2s4qk9HF+7pxPMTaMzBSRsgFGKVAKgxMa8/sXj2d7fmmzvPu/AsYm66G5/ecANvEwAV+OT7/89fP5fvore5MI7Chu6zYRR/zypP9/RqE1gophGPiOwapGJVYMGOC9j2540OE/6OQ4ilo+iFzuEnhN6AnZuinJG9vsXj0SPiwDf/x36mvVncsRVigKqHpIPZIW6oxEt0ol4sEYeE7C4/6FBGxOBCMvL7VEvC/c/UF9gVt1FDCaXmrrlB22444EeXDCPYuV8F/m0wOhkA91dHVh33kXHc22Jjz749T+67bpPbCOE2nM7GWdovKwAB4CP/NF7AQAz5enbCLWM8ljqs/f+4Ptdo8fryGVMNFwKx2WwDF9jI9pQU+Zyi5ghGB6rgDEbe7did/11fIRkLgID7myMVrq/1VFxf/SsUdAA9HpUlMgVjZUXBaHmDnNNhJ8WCz8wARC/85VHiF/NQ0OgE4GGw2AxCssQoISiPS9AUwmsOG/r2CWXb/3zesO57Q8+sx1/8Bm9zf3LM152gKuRzuRRnil9Pd11JbE77Buw75EuzyshaTsgpI6jkwQeLJiUSv+4X6ccFBvT1hKlJXC1563YuUnaIGqIqtdnc+hpJScdRIsLYBa3IIkxPieygoeEQR/1OWGuiboLyG/BhQga/wguPSKuBxBKYXjM93EbmNdWByEOZuomHMdDb3cn3nX1lrH5i7deLyC+ns22ndVzd6JxzgAOAJl0FqXSzM3XXLHZ7e9MfqF47Kdt2cxRfOdx4Lb7uwAjhaRBkGQcNhOwmJDF+BFZEjUsaQzAQAsQNzF3CxfcLIx+LkcQuFTODKIFZ4JclFlYPDBEwzYTUgL5rE0QaGwFfnACTnwdHtRqymMYEag7Jiwnid+5uobhsTE8/osu5Nr6cMGFl0/2D2z4GCX0VstKntNzdk4BDgDZbBqu495+4YUbJob37F9SqqX/7qZv/dzcP5KFaRlIGzIQlDAli7PIWjL+Qyu9jfhtn8yizaPaGwrwCD+7+bNOZcyZl+d0lPKgwPeWQPOgBEtjI8riaiLIekvdu4IgfK/qMqn/PrVMt/KueCAgHuB5FB6X54dRD3XDRl/BxHt/2cV5a9Y4wil8fNXq84eYYX/Psqw5/KKzO14xHFUpbUMyk7Ee2zb2ew8/8eKXx8YeI4/vqdKDB9LozXqwTSlPQPz+6rHbMm3B4BGd7vcw0aVNUIsZOT7K5oDcpneeigZrwt4oQY1mrF+K7KtCWn8P7ftEumzpBrM6BpohHRRBRd2ieqArMMSpCnwJuVJ1sE0En6cikjQWoQTCkD332dtgHLbpobNQwXPDM9j7Yi+/auvrRCK/6H1DE/O/UUhMNbZceOo9TM7GOOcMrkYquwk7frGr0VEYuH3LeusnrnPk7VV38m+mRyaRS1GYhlyDx+OA4wm4XrDitBwxr0bc4Ayeq+0+OHUQBZE/7YN0H/hchxBau7MTjVZ/51SGUG8UgVRRHhJlJBKEC74Gep2EHhRCWun/sLABkMB2XQLHZfA4wKhAjTEI4QFGHxxr/l9Sa/U3uzv7hjPpWqN/4SsD3MArCOAAsHbdSgCoPvzwLbsvuzT72ecP9Fl5e+wvdu89yCAc2CZDtcFRrkpjR13UeEJU3K2nhEgkPN3Ees3H6GPuQuOlDTKHnfEMWviZeyHIpRThHCAMYEIP9igB479f949DhHMGks0FAHBZkTNTZZipURjMQyZlw0yv8Lq7Oj7zrz8Xn12w/wVv3YaNL8MZOoPn81yOf73j2/jt33wrjo6Mf+b79z/40aHdv7ATRhHP7a/j6HEBxw3LpgjRPCt6uzMf5LosCNfIJGAslC+0BbBD5icA0eUPaSlpZONOrY2E1r6NqfZvWhu4+COJPG8hUXxJoiRKcAEjBnSYO6+kCWMiKNxmTMkUJVE0Ix3+MZSD+euaEkgGd1yKQyMmXjhkYsnCPDZtPK++bOWWf0hnO//iiUe+g4u3XnuuIdNyvGIBDgATk0VF0zeMHdu/+fjwnfTW74nND2yfMvJJ2SucUsBkvgGqJU1FL7oElgK4/OcDnEb7jsx2mgjQ3FU2xvyB9qYkor/nCnAa0eVanrs+AWIF1PqIpBSrJkk+oBmD/+gDnIrgs9RQoDeYgME8mIZcpp1zwDKr2DvS6/7fR3KP/dkfX8tXrhh8jHNcbxjkpGtVnsvxiga4Pv7tP+5BNmVm9x0ufu2Bx4d+vTQ+Ql94sYp8kiGbkNmIBgsZPJ5DrgBuUN+fzkgIco2F9RC2fitvYmr9DqFe0zB7MGwSJMHOAnATnyVjxmVTxqOIZBfqhdfqN6oRT5VVrK8AblABw1DA5QHIFbj19ymAJywXqWQDtlnB+HQ7+vo6eMVb8W/lWvt7DFYvbb7kunMNiTmNVw3AAeDJn++DaSU6pyaOfvDnO59Y+8yesbc8vm0YGdNCPk1gGmEikcdF4G0J5AkjMBlgGgQGA0xGwJgEOfHRzQEILuQiYUIHuAJuM8Cb0mM1jwn1wT4bwNXzuDxRoI4CPJoGrAYX0viWDes12UZl3MA0BEyDB4+GwQOACw54nPq/l4BSAcsQSCcaIHQaLN2PyVL/XevWbdkxf0HfP9aqtfFkdvm5hsKcx6sK4GoI8QsAiYGHtg3f+MT2A2/Z+YudGDlWQiphghKKhivQcAUcfzU7AsnalkFgmf6jQSTQDQLDb88mIBcgcD0O11MgVzo+dAWGbkAAmkSJ6nMlS04A8IhNEAU4gCaJwqjeDjos+/G4zKF3XflcCLmfMdmb2zQELFMgYXJYpgfLlCAngCxScKlMkXAoPM5hGnUQI4WBwRUws0vuGp5e+6GEUTp49eYl5/rSn/J4VQIcAHYNTYJSc2m1tPu8aqX8wSefGbp0/769GB2bQnFGrrs4UyOoNiRQEqZAwgISFkHCIrBNAsuksEwC06CgVALDdTlqDQ+1uoDrKYPNByVT4AyZHGgup5OADicDo1GwxwEeGr+ipS0QGsjCvxMJX9ZIHeZ6BNU6Ra1O0HDlpGRUtoO0TR/cFkfS5kjaLhK2h4TlghCgWjMwUzPhusDoBACax4rlS9DWs/hBK5n+x9UrFv0ccPcS0nWuL/lpjVeUm/BUxsolbQCwVwixF8COag19my5c/c9PPL1r6X0PPMNySRcTZQ/D0wQpy0B3msMyJCAkG0r2tkwG25R+dhCg1iCo1jnqDQ6XS8AZDDCI7OYUGJQkXKYD8BOWuC91/IY3JFbuFR868+tLrETtAPX5YXYg9bW1yaSnw3UJanWKSg2oNmRPQsvwmdyfHCpmQKmAbXooZKpIJKoYHsnj+JSN7nYPK1ad7+U61uylcP74/PO3HAWw++XOdz/T41ULcDX8C7C7WJza7XneNTXX6t+86fx/f/rJh3IvHjmYPjx5BD96OoNKw0LSkuVXjBIYjMBgFJZJkUpSpBKS4QFgeEzg2LQEkGUCtinBBxJdwYEQuR68UKtXC1XoHLodm2L+iBnACCWHwcLkqEBTc8096EdypU7msC0ZUTQNjoZL8cxuEwQctkmRTMjlFw2DwPUAz5O+cEoFLNMD6Ay++6iA6xXQ3TUws2bjJUVCnLcls4OHKWUHX+3AVuNVD3A1crkChBAHL9ncPlyvldYkbfq6Qtr52pHRnRmwQ4WnfjYGx5PsZ5m+3CCAZRJkkkBbliOfcdHbWcYDO+t4YSyH/hxBPinlgMVlNFBJFYNJBvc4ged6cFzZ7D3w4hAATOYkKikTxFh84074vmwlVUwmdbPHAd7wgcmVQUlAqIDps7LBBJK2i3ymjs5CCUemHTwzNA/9BYFcmoILwDQokjaB5xFUa0DCAkyDwzIppmuDpVTH6okVSy8wOnL03YXOwcfzuew0F+CMvjbADbyGAA4EbM6Pj49O9vT030fL/7Fo1Zrf+N3/8eHSR2669QeNg/sOkP58bWUuIxJDh4rIpSja8gy5NEdvRx29HWV0tRfxp28pYtvzDOOVLGyDI2n5ueA++5uG1O8GI/A4UKtxlGZkDodpyrRSxiRIAqPUTwUQQLCaAueAYNKoNA2BhM1hmfJzxqcMVGpyAhksvItw/4oxJpCwPOQzFQgyhZvubsfucYpag2NeGwchLtJJKb2yKQfHyxnkSabW0eHs6ukbMJPtl92+Zcl7/+dTP7nM7unJ12bKFV7Iv3L92ac7XlMAV6OjswcA+EzFA6X067ZVu8UwGH7t6rWsrzP75YZTXT5S3ft60x1jCVugI19BT8cYaryCkUmKgW4bl2+Yxt2PptCdplC616CAYRCYJkXCZkjaQCbpwbId7D3mQbgMhTSHQSmEKXW6wSgMQ7I959J9KbhaoYwEssQ0BFIJD21ZBx6vYceQhWPHE0glKZI2BYE0hE1DsjoAGIaHbLqKu7cb2Hc0h77OGjw0MHTMRMJKoK+boasjifWrE95oefnDqWRhd50U30fIhGcYKZQP3Cwy+cHKub5eZ3O8JgGuRjoVdMVQktc9ODL1Htu22waWrv/bn/zoRxZ1j3r9/daG8Rq58Ot3l0Adgt+7xsV1W8bx6PM1eDwpQW1QGAaFaVDYJkXCBnJpgUW9DaxdfhzPHDTw3O422AZHyhY+aCksi8Dyz3LDARxXoOFIhFqcgjG5hLaUHB7md5fx7IEifvSzAnImw4JuBgJDemMYgePKsLnjUlACjEy4+Pef5jCYo/jda2bQ1eXip8/3YqaceyqX5U/Pm7+QLV13SWNtuu0T4I1Jwl6d3pDTHa9pgLcaA70FQK4F/ScAMLT7LtgmLt3xJH3j6hXe27rS9RVWvoK1uZ/g/CUmRocFbOb5uRxWwMiWASQsDtvy0Jn1sKi3ge3PZTFTp2jjMlJq21LfJy2Z0VecIShVOGYqLrgAEhYFpQa8BAUhAumki4Rdxr5RjmMlC3YWqDscCVe6LF2PoN7g4J4L7nloyzBMTBQwMVnAO3/1fGxcn8KSAfHChVvYv297ru0HpskfvPKaa871KT+n4z8dwONjyfK3AMCDY+MTDwJ4yHXdJYRP8KnhZ/n6FYOD/Vvm//nk+IswTQP1yijGxosQngHHkZ6JugOkbIo3XTyNh3dkUaxkpZvOpMgkCTrzLnraG6BUYM9wAgeOcgwd5jCYQHeeg1KCTEq6R9LJBg4dq+Hex9OYmTFgFDgEJ2g0GiCg0iplecxf0AMID5nuXpDqvs/2dk7tv+LyLXRwYQc1DWMoDdz329KN+p9+/KcHuBpdne0AcJ96PTExho+usQsjIyOP7dhhAoQ5A/OWfHiqRK9mVLZSGN7/LBreJFxUsWFZDVvWCfz4cUAIDwmLI51ooLMwg4mZabw4xtCdtTFeTmDpYBnDxwgOjSVAiAfL4OgqSIny5P4sdh3tRGfeRnteoL8vj61bLoRhMJgGRamG+3N24wuOy822ntVY0fNLD37jgsZUd9fpr0T2Wh7/H+CzjPb2LgCYAvAdAKjPHAIh2DVZpD0A4Y7rYmxkLwQvQ8BCPmOhPVt3fuvNF3+qkKj9al8Hd3IZoK+rjCPHy5hysli4wMP6ShorFzrYd7iKkbEk5rUxpBIU8xbaZrKNfXd06t5PVby0mUgSpBICuVwWa9eugWmYIAS03CCjBNi/fHDeuT5Fr4rx2nF4vgLG937wMAhIz0xxLN+Zd0QyQdDVVsb4dBUHjhSwqLeBJ4dSGOwFXhwtYnwyge48g2kAi+anyODCzmkhMDqwdMu5/imvmfH/AGcLpNFTbHVYAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjQ2OjI3KzAwOjAwRE8hBAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo0NjoyNyswMDowMDUSmbgAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 3}
-
mf_hecke_traces • Show schema
Hide schema
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id: 41290000
{'hecke_orbit_code': 687245099060, 'n': 1, 'trace_an': 8}
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id: 41290001
{'hecke_orbit_code': 687245099060, 'n': 2, 'trace_an': 0}
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id: 41290002
{'hecke_orbit_code': 687245099060, 'n': 3, 'trace_an': 0}
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id: 41290003
{'hecke_orbit_code': 687245099060, 'n': 4, 'trace_an': 0}
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id: 41290004
{'hecke_orbit_code': 687245099060, 'n': 5, 'trace_an': 6}
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id: 41290005
{'hecke_orbit_code': 687245099060, 'n': 6, 'trace_an': 0}
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id: 41290006
{'hecke_orbit_code': 687245099060, 'n': 7, 'trace_an': 4}
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id: 41290007
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