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{'Nk2': 23200, 'analytic_conductor': 46.31323317234262, 'analytic_rank': 1, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [29, -1]], 'atkin_lehner_string': '-+-', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5800, 1, [4351, 2901, 4177, 3801], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 5, 'field_disc': 3145252, 'field_disc_factorization': [[2, 2], [11, 1], [71483, 1]], 'field_poly': [-11, 22, 9, -11, -2, 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': [[3, [4, 24, 10, -13, -1, 1]], [7, [332, -36, -106, -7, 7, 1]], [11, [176, -616, -276, -4, 10, 1]]], 'hecke_orbit': 21, 'hecke_orbit_code': 90071992580970152, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], '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': '5800.2.a.u', 'level': 5800, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'minimal_twist': '1160.2.a.h', 'nf_label': '5.5.3145252.1', 'prim_orbit_index': 1, 'qexp_display': 'q-\\beta _{3}q^{3}+(-1+\\beta _{2})q^{7}+(2-\\beta _{2}+\\beta _{4})q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 5, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5800.2.a', 'trace_display': [0, 1, 0, -7], 'trace_hash': 1150104168627819451, 'trace_moments': 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mf_newspaces • Show schema
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{'ALdims': [15, 18, 19, 15, 15, 15, 19, 17], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [5, 6, 6, 6, 6, 6, 6, 6], 'ALdims_old': [94, 93, 92, 93, 96, 93, 89, 94], 'Nk2': 23200, 'analytic_conductor': 46.31323317234262, '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': [5800, 1, [4351, 2901, 4177, 3801], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 877, 'dim': 133, 'eis_dim': 47, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 7, 11], 'hecke_orbit_code': 33560232, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 3, 3, 3, 3, 5, 5, 5, 6, 6, 6, 6, 7, 7, 7, 7, 8, 8, 11, 11], 'label': '5800.2.a', 'level': 5800, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 29], 'level_radical': 290, 'mf_dim': 924, 'mf_new_dim': 133, 'num_forms': 34, 'plus_dim': 64, 'prim_orbit_index': 1, 'relative_dim': 133, 'sturm_bound': 1800, 'trace_bound': 11, 'trace_display': [0, 0, 0, -4], 'traces': [133, 0, 0, 0, 0, 0, -4, 0, 127, 0, 4, 0, -4, 0, 0, 0, -2, 0, 4, 0, 0, 0, 4, 0, 0, 0, 0, 0, -3, 0, -16, 0, -10, 0, 0, 0, -10, 0, -12, 0, 2, 0, -16, 0, 0, 0, -8, 0, 141, 0, 16, 0, 24, 0, 0, 0, -16, 0, 12, 0, -10, 0, -24, 0, 0, 0, -12, 0, -20, 0, -16, 0, -30, 0, 0, 0, -24, 0, -72, 0, 157, 0, 16, 0, 0, 0, 0, 0, -6, 0, -108, 0, -6, 0, 0, 0, -30, 0, 48, 0, 2, 0, 40, 0, 0, 0, -16, 0, 0, 0, -32, 0, 62, 0, 0, 0, -26, 0, 16, 0, 95, 0, 4, 0, 0, 0, -28, 0, 30, 0, 32, 0, 0, 0, 0, 0, 18, 0, -88, 0, 18, 0, -20, 0, 0, 0, 32, 0, -28, 0, -44, 0, 10, 0, 0, 0, 14, 0, 20, 0, 32, 0, 16, 0, 0, 0, 40, 0, 141, 0, 88, 0, 54, 0, 0, 0, 60, 0, -4, 0, -12, 0, -44, 0, 0, 0, 20, 0, -40, 0, 52, 0, -6, 0, 0, 0, 30, 0, 68, 0, -132, 0, -12, 0, 0, 0, 8, 0, -52, 0, 4, 0, 84, 0, 0, 0, 16, 0, 36, 0, -32, 0, 0, 0, 0, 0, 36, 0, -22, 0, 76, 0, 20, 0, 0, 0, -66, 0, -68, 0, -16, 0, 40, 0, 0, 0, -88, 0, -104, 0, 124, 0, 36, 0, 0, 0, 0, 0, 32, 0, -9, 0, 56, 0, 0, 0, 124, 0, 14, 0, 32, 0, 64, 0, 0, 0, 54, 0, -244, 0, -24, 0, -16, 0, 0, 0, 64, 0, 171, 0, -204, 0, -6, 0, 0, 0, -62, 0, 116, 0, -56, 0, 40, 0, 0, 0, -56, 0, -52, 0, -188, 0, 0, 0, 0, 0, -78, 0, 0, 0, -164, 0, 80, 0, 0, 0, 52, 0, 72, 0, 44, 0, -66, 0, 0, 0, -2, 0, -92, 0, -18, 0, -104, 0, 0, 0, 52, 0, -40, 0, 220, 0, 58, 0, 0, 0, 32, 0, 136, 0, 189, 0, 80, 0, 0, 0, 4, 0, -146, 0, 28, 0, -68, 0, 0, 0, 8, 0, -12, 0, -32, 0, -20, 0, 0, 0, 88, 0, -22, 0, -24, 0, -88, 0, 0, 0, 44, 0, 48, 0, -76, 0, -96, 0, 0, 0, 40, 0, 14, 0, 180, 0, 16, 0, 0, 0, 20, 0, -116, 0, 14, 0, -84, 0, 0, 0, -24, 0, 54, 0, 196, 0, 42, 0, 0, 0, 144, 0, -76, 0, 247, 0, 40, 0, 0, 0, 44, 0, 46, 0, 48, 0, 48, 0, 0, 0, -22, 0, 88, 0, 6, 0, -116, 0, 0, 0, -40, 0, 0, 0, -172, 0, -22, 0, 0, 0, 14, 0, -104, 0, 84, 0, -56, 0, 0, 0, -148, 0, -6, 0, -96, 0, 6, 0, 0, 0, -64, 0, -28, 0, -12, 0, -144, 0, 0, 0, 144, 0, -152, 0, -248, 0, -88, 0, 0, 0, -42, 0, 104, 0, -68, 0, -84, 0, 0, 0, 36, 0, 413, 0, -152, 0, -20, 0, 0, 0, 244, 0, -60, 0, 138, 0, -60, 0, 0, 0, -104, 0, -54, 0, 0, 0, 16, 0, 0, 0, -66, 0, -132, 0, -48, 0, -112, 0, 0, 0, -364, 0, 94, 0, 16, 0, 8, 0, 0, 0, -66, 0, -160, 0, 40, 0, -12, 0, 0, 0, 88, 0, 72, 0, 64, 0, -60, 0, 0, 0, -96, 0, -336, 0, -78, 0, 84, 0, 0, 0, -56, 0, -8, 0, 64, 0, -128, 0, 0, 0, 18, 0, -272, 0, 4, 0, 64, 0, 0, 0, -72, 0, -4, 0, -96, 0, 30, 0, 0, 0, -164, 0, 256, 0, -62, 0, -216, 0, 0, 0, 52, 0, -76, 0, 260, 0, -106, 0, 0, 0, -62, 0, 348, 0, -82, 0, -76, 0, 0, 0, -12, 0, -132, 0, -284, 0, 72, 0, 0, 0, -190, 0, -280, 0, 148, 0, 148, 0, 0, 0, -12, 0, 90, 0, -204, 0, 256, 0, 0, 0, -60, 0, 336, 0, -68, 0, 40, 0, 0, 0, -128, 0, 44, 0, -284, 0, 20, 0, 0, 0, 68, 0, 184, 0, 184, 0, -8, 0, 0, 0, -188, 0, 169, 0, 108, 0, -66, 0, 0, 0, -40, 0, -280, 0, 200, 0, 20, 0, 0, 0, 204, 0, 224, 0, -28, 0, 58, 0, 0, 0, 130, 0, -292, 0, 154, 0, -68, 0, 0, 0, -188, 0, -122, 0, 200, 0, -18, 0, 0, 0, 248, 0, 268, 0, 140, 0, 0, 0, 0, 0, -28, 0, 306, 0, -152, 0, 224, 0, 0, 0, -54, 0, -4, 0, 6, 0, 200, 0, 0, 0, 116, 0, -138, 0, 60, 0, 62, 0, 0, 0, -104, 0, -448, 0, 52, 0, -68, 0, 0, 0, -80, 0, -2, 0, -16, 0, 222, 0, 0, 0, 14, 0, 32, 0, 133, 0, -80, 0, 0, 0, 48, 0, 40, 0, -192, 0, 42, 0, 0, 0, 144, 0, -92, 0, 128, 0, 104, 0, 0, 0, 144, 0, 266, 0, -232, 0, -46, 0, 0, 0, -136, 0, 48, 0, -166, 0, -64, 0, 0, 0, 16, 0, 120, 0, 324, 0, -96, 0, 0, 0, -108, 0, 44, 0, -72, 0, 84, 0, 0, 0, 40, 0, 322, 0, -8, 0, -108, 0, 0, 0, -32, 0, -16, 0, 74, 0, 56, 0, 0, 0, 104, 0, 54, 0, -436, 0, 232, 0, 0, 0, 10, 0, 328, 0, 168, 0, 136, 0, 0, 0, 96, 0, -124, 0, -356, 0, -44, 0, 0, 0, 26, 0, 48, 0, 235, 0, -340, 0, 0, 0, 144, 0, -164, 0, 60, 0, -184, 0, 0, 0, 200, 0, 0, 0, -34, 0, -16, 0, 0, 0, 164, 0, -148, 0, 48, 0, 142, 0, 0, 0, 14, 0, -176, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48326914
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580970152, 'source_is_minimal': False, 'source_label': '5800.2.a.u.1.2', 'source_level': 5800, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580970152, 'target_is_minimal': False, 'target_label': '5800.2.a.u.1.2', 'target_level': 5800, 'twist_class_label': '1160.2.a.h.1.4', 'twist_class_level': 1160, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48326915
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580970152, 'source_is_minimal': False, 'source_label': '5800.2.a.u.1.2', 'source_level': 5800, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 31525197425149064, 'target_is_minimal': True, 'target_label': '1160.2.a.h.1.4', 'target_level': 1160, 'twist_class_label': '1160.2.a.h.1.4', 'twist_class_level': 1160, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 48326916
{'conductor': 20, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580970152, 'source_is_minimal': False, 'source_label': '5800.2.a.u.1.2', 'source_level': 5800, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 94575592208337168, 'target_is_minimal': False, 'target_label': '2320.2.a.v.1.2', 'target_level': 2320, 'twist_class_label': '1160.2.a.h.1.4', 'twist_class_level': 1160, 'twisting_char_label': '20.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48326917
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580970152, 'source_is_minimal': False, 'source_label': '5800.2.a.u.1.2', 'source_level': 5800, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 4, 'target_hecke_orbit_code': 270215977675793472, 'target_is_minimal': False, 'target_label': '9280.2.a.ci.1.4', 'target_level': 9280, 'twist_class_label': '1160.2.a.h.1.4', 'twist_class_level': 1160, 'twisting_char_label': '40.19', 'twisting_conrey_index': 19, 'weight': 2}
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id: 48326918
{'conductor': 40, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 5, 'source_embedding_index': 2, 'source_hecke_orbit_code': 90071992580970152, 'source_is_minimal': False, 'source_label': '5800.2.a.u.1.2', 'source_level': 5800, 'target_conrey_index': 1, 'target_dim': 5, 'target_embedding_index': 2, 'target_hecke_orbit_code': 279223176930534464, 'target_is_minimal': False, 'target_label': '9280.2.a.ck.1.2', 'target_level': 9280, 'twist_class_label': '1160.2.a.h.1.4', 'twist_class_level': 1160, 'twisting_char_label': '40.29', 'twisting_conrey_index': 29, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 4004000
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 90071992580970152, 'p': 2}
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id: 4004001
{'charpoly_factorization': [[[4, 24, 10, -13, -1, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 3}
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id: 4004002
{'charpoly_factorization': [[[0, 1], 5]], 'hecke_orbit_code': 90071992580970152, 'p': 5}
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id: 4004003
{'charpoly_factorization': [[[332, -36, -106, -7, 7, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 7}
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id: 4004004
{'charpoly_factorization': [[[176, -616, -276, -4, 10, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 11}
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id: 4004005
{'charpoly_factorization': [[[8, 4, -26, -9, 3, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 13}
-
id: 4004006
{'charpoly_factorization': [[[-116, 160, -24, -23, 3, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 17}
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id: 4004007
{'charpoly_factorization': [[[-16, 24, 60, -24, -2, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 19}
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id: 4004008
{'charpoly_factorization': [[[3268, -584, -422, 3, 13, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 23}
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id: 4004009
{'charpoly_factorization': [[[-1, 1], 5]], 'hecke_orbit_code': 90071992580970152, 'p': 29}
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id: 4004010
{'charpoly_factorization': [[[1900, 1784, 200, -75, -7, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 31}
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id: 4004011
{'charpoly_factorization': [[[-3280, 3048, -532, -88, 10, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 37}
-
id: 4004012
{'charpoly_factorization': [[[-3296, 800, 248, -60, -4, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 41}
-
id: 4004013
{'charpoly_factorization': [[[6644, -3168, -1498, -39, 17, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 43}
-
id: 4004014
{'charpoly_factorization': [[[2816, 0, -476, -68, 6, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 47}
-
id: 4004015
{'charpoly_factorization': [[[-1864, -2228, -818, -89, 5, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 53}
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id: 4004016
{'charpoly_factorization': [[[2896, 3232, 1376, 279, 27, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 59}
-
id: 4004017
{'charpoly_factorization': [[[22808, -15156, 2362, 1, -21, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 61}
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id: 4004018
{'charpoly_factorization': [[[-79808, 9424, 2020, -212, -10, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 67}
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id: 4004019
{'charpoly_factorization': [[[1024, -128, -944, -192, 4, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 71}
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id: 4004020
{'charpoly_factorization': [[[-2644, -1444, 72, 141, 23, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 73}
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id: 4004021
{'charpoly_factorization': [[[-25156, 10580, -204, -213, 3, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 79}
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id: 4004022
{'charpoly_factorization': [[[33008, 20152, 1548, -248, -12, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 83}
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id: 4004023
{'charpoly_factorization': [[[800, 96, -200, -28, 8, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 89}
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id: 4004024
{'charpoly_factorization': [[[126116, -5812, -3416, -15, 25, 1], 1]], 'hecke_orbit_code': 90071992580970152, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 1, 'hecke_orbit': 21, 'label': '5800.2.a.u', 'level': 5800, 'portrait': 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ktdyXDs4WuBsIb5acOGqYTlbkB3KBjFHisDweYpw1LHcPycoub5bJ6F7fMhm+ZGbJwbs3luzPZNlos2K67a4VFXTY4cb/PNp30e3R/z5LGIRPV4y8s7vOOllrqaY/+xaY6c1pw6n3A2BffBRctN1yzwK+9eYceGKU6fn+b8So2ljsdyR7LSS+gOEvpj2H90iYMnVq964uDCKw6ePLfryKnzX37Jd70zvO/2TzzfkPi2bn+rGXxpuYMxFiF4z32PHXrpL/zOp+U7bznw0n/2jlN6YXUTK90WS6sNljo+Sx3NUgeWOwnLnYil1YSzq3BoSTC/YZV/9yNLvPjyBifOzXL6fJPTi5pzS5azizEnFxLO92KmZ0e87Lo+L7kSfFknUAHnlmucWdScXRYMxhDHhppvaNYSZqZiDHDsbEy3Dzs3eTTrY6wVIHz6Q8NFm8csrWqwToqs9mEcg8Wy3AnZttGjN1QIZRFmTLvmcdGWEasDwbHTmsRo5tqSVk0QeBDHgsFYcnZZcmbJcm4lJghG4MXccnWfl14jmG/XWVppc+JcwOlFOLcYc2455tQyHFqyvOjqRX79R1bYPN3m+NlZzi7VWVjxWexIllcTVroRK92E5Z5hsSc51YPl5R6//c/G8Q98V+M+b+6njN+86j5r+SWlBH7wtzc7+reWwT/43z/Jy255If/sn//L3/joX331n3/wL75y6bPHV3cdONWXL7uux+6tCUmisVZhrWNvrAQkIBDCooXFl3B6qc6DByXX7V7myh0jGjXwtMT3FL6vadYlDU8y6HvsO1rjzkd9jp0f040j9p0Ys2lumbe+bIXrLu3xois7HF2MWRwIGsGIw6ctnW6Tay+RrI4S9hxVtBqaZ47BZVstozBhlPhoHTHTgr0nApRO8GSM9mA4lrz4ygHDgeS6SxO6w4Rjp1tcvFnRbISsji0bpwes9Lt8/Kvw+JGEJ4+M2Ll1ieuv6DIzG/LmW3p8zystuze3SKJpjpya4tBJjxNnDSfPR5w8n3DovOD4asQLLl/g3/1Ij03T05w4O8u5pQYLqz5LHclKJ6HTi1jtJ6z0Lct9wbmBYrkbc9OVi/zs287LmhK7zp05fvF4HN3cnN5Zr9Vn73rsgc/w397/F883ZNa9/a1k8I/8xV9x7ZU71L0P7fu3R4+f/eVHnjqmzi2HLI0Vp/qW63ae47d/ZoEbdjc4tzTDUqfBcqfGcsdjuatZ6cFKJ2GlG7Pci1nswIkVga6PuPWaZb7vlSEXb2yy2m9zfrnOwrLPYkew3HESYaVn6A4N3bFlMIqZa0dctMkAgsCznDzvIWTAzo2Ki7datm4ccG5lzBMHWrzwMkujvsLTB2dpNUPC0GNuxjAcwVUXjfjIV6e5YkfMeGzZMCWJkiGtWsAzR0fUvSY3XB7z5OGQc0s+2+YCLt4CF20OUSri5CL4nkUIy85NMTMtSW8Y0B94dAcey13F8iosdQzLnYTFTsLZDiyNEi7a1uf7XrXIrVdqal6bM4ttFldqLK5qlruClY5htRex0ktY7VuW+nC2pzi3GvPiK87yvp9Z4tJtTZZW26z0agxGbVTt0qTW3PwbCZf/urAnkpe+6h8839BZc/tbBfB9+/dTq9XqZ06fvOjRx55518Ejp/7DvoMnCWNJfwSrQ8cop3sxL7rkLL/1M8tcf0md8yszLK02WOnWWO56rHQ1K13o9AyrvZiVXsxy13KuIzjdtyD6vOPlHd78YsMlW2qEYYOVTo3Vvk+np1jpC3oDwWhsCWNLkoCSlsCDemCZbls2zkZob8ShMyFPHQwwcZM33hyivVUe2TPFri3wxQdjXn5twPnOkJpWxEnE7AzEkYf2YpaWGrzsxi5fvL/FxVvg4QNjPBq84cWGWAx56lDCkZM1tPTZNKOZaQrqgcD3BUpAbCCMLKMQegPLat/QGxhWB4alvmWYJOzcPuDNL+nwjpeGYFosrU5xfrnu9HZXs9KB1V5Cpx+zmoJ7eQBnuoqFbsKLLj/H+37mPFfvrLOwMs1qr0GnH9Dta3oDQdDYjl/f/G82bbvqL3ds23Z8NB4NL7v88ucbSvntbw3Ajx45yMb5ef/AwYM/tv/Agd9/+JHHxeJyXw7HhsHI0B9ZekNYHUrODyVnehEvvvQ87/3JJW68tMbi6jRLq01WugGrPZ+Vnma1J+j0LJ1+wmovptM3rPQt53uCMx3DzPSA73pRj1uujNm5SdGue3R7NQJPAoowlhgjMBYGI0AYZlojDpyyGBtyx8NNxoM6l27zufW6AZFZ5e5Hp7nhMo8DZ/t0Vtq85LoBdz0SsGnWsueY5X97e5c9RwM2zUrufFRx61WK5UGXwydmueHykLufGhKPG9xytc/uHSOGcZ/bH1GQCA6d1LQbGi1gMJQYK0iMJYoBadC+odO3NFsRO7aMeelVA77rhTFzzRrnlqdYWq2z0nXHZqUr6PSh04vp9GM6/YTOwLI8kJztCRZ7MTdfscBv/OQC119cY2F1itVeg24/oDvw6A00/aGiNxSESc3svvQ6u+vi3T93ye5LP7S4uBheecVlzzekgL8lAI/jSEbh4K1PPvLFS5dWzPseePARbxTCKLQMhjGDUQrysaU3FHSGgvNDyelOzC1Xnec9P7nAC3f7rHanWFhp0enXWO35rPY1nZ6iM4Be39IdxHT7Cf2hoTOwLPQFC32IkjHXXzZk82xCf2B500vG7NpsiBOJlpYwgq8/UeP4+RpbZmKePlQD0+DK7YobrzAEtQGPHBiwsNjkml1N2tMr3P+kx02X1VgarLKy0mbzZsuDexQ/9Jo+D+3RbN/osdjvsLI8y41XDbj/6YTZ+jTXXNrnfKfDg89OU9dNXnSF5fKLRiD7PHFEsHE24txCxN1PeIwihZSQGMuuLSHf9ZKQXl+xdcZw42UQhg2WOw2WOwGrfY/uQNHpS7p96A4Suv2E3iChOzCsDizLQ8mprqAzHHPr5Qv8+k+s8KLL3MXR6dXpDgJ6A4/eUNMbKvpDSX8o6A0S+sOYG254UTSM1L/6wXf9/YOtVv3zvueZ5xtbz3smczQcEI6GP3L08KO/ff7M/tlTpzu0mhKlXKDobjFCAMJZgEJYpLRIqXlo/yZ+6QOat9+6zPe/ZpmLt4WcXWoT+HXqgU8j8GjWNb26pDX0mGpqBqOE/jBh09gwHFt6o4DlhRonT1jC2HDqbEwQWEDgK4uWgsFQIfCIB5oX7BLs3mq5aNuAcdLjSw8p9h6c4fUvDLjxqhU+/CWLLxrs2jbgyfsV26YVG9oDaqpOGHmc70Gzptm+SfD43pAbL6/zyhsW+dPbhvhei9fdbPGCAV95MOSLDzR59kidS7Y22LUlYX4m5OINEdfuSlDKoJUFLI0gYH46IIw8egOfpw94rkRhqOiPJP0h9EeW/sB9994woT+0dIeW1SEsDBTnViyNqQ4//8YF/sGtY66/pMmZxTadfo1eDm5Ff6QYDCWDkWA4sowjHAnc85BXb83+9jd2PLT8qle8+J8NBoM/bTQazyu+nleAJ1EPhP2Jkyfufc/hPXfP9rodAt8nsQqBwC0wzugRIkEIkMJ10ihpUTLBl5InD8zz2P4mB06f5+0v7fPSq0dMt9osdxo0uzXaQ5/+IGWdkWQ40gzGmtHYMgoNYWSJIkucuHsY+1gDUgk8Laj5gumWYKYFmzcYtm8asGGmw5cfgXse85Bmite/0OMFV/a499mIcNTm1hcIOsMh55ea3HK5YcP0gLoOGMWKhW6EMoIXXK5ptMY8uq/GK26c4iXX93h0nwI7xQuv9vnxtyxz1+Mhdz7UZM/xGhfNKzbP1plpNZhqQT0AT1uUBGNhzxFBkgiiWBDGMI5w33GcMBwbRqncG4wN/SF0x7DQl5zvwdiMeO0Ny7z1pR1+8HWGOG5zdrFJt1+jN/TpD71UkigGI5GDezA2jEYx49AwCg0LJ87w0U98aXa1n/z//sGbX6FXO4MPTE89fyB/3gA+Gq6QGH584eTX3nPu2B0bfTmgWQ+Q0oAVOPLOLD+FEAIpScENSlm0snjKUPcEi4M6H/vqdr7yWJeXX7vKu1+7yrUX95mbbrC02qA3DBgMvRTYyt1DwTiSRLEgjt1Sb9NFQ0mL1lDzoVE3zLYitm0cENPnwKmIj99d4/CJJtNBnZuu1txyXZcH93e445ttbr6sxkVbBnzkqwIlAtqtiNX+GGNBCZhvD+j2fExc560vP8/Hvthg97kab755QBgtcfdTc0RJjRdfvZE339Tlsh0dvvLogCdPNHjiiM/2WclsW9AIBL7nLkIpQAiLsWCMJYrTizWyjCN3IY9CGIbQGwlWxoLlHgg94oYrVnn3d63y8qsT5tp1VroNOr06vUFAf+TRHxYrwWAsGY5gkF04o4TR2DAMHZMnVnPsdIc//didG6PYvud73vIye35h5U82zs/8rwFwu/LvWe5eRrz6iR8dDML3LZ/es4G4Q73mg4hxjC3ICFwI4cAtJEpqpExQSqTLs8FTlkBb6lqwMlIsdWb4xNebPPB0n1uvX+Xdr1vlht0d5pI6cRwwGNXoDz2GY00YKaJYEieSxAiMFS4LKiyBb2jUYgI/xPfGnFoac9vDkoMnfY6cnEGZgN1bfK66WPHCK7uoYIGnDrXYNt3gmktg8/wKy902126TxMby5YcCxgPJdDPmDS8e8fm7I46fbXHFpR5nVkc8c9hjx6YZrr94gXuf7HH/M4Jx6HPlxbNcuSPgyu09Dp1Z5uApeGhvgwOHmzS0INCSZmCpeSClO2zWuos1TiCMIUwE/bGgOxJ0IwhNjLEjXnRZl3d/V5eXX5uwZTZgNJpiqVOj1w/oj3wGQ+3kyEgxHAuGI8lw7PpGR+OEUZiuDKFllD2GECWKlXOrfPDjX9v46IHz79P1Zvyrf/ClDz+77zAf/+1//HcX4P/yP/4uTH8S2+EHRXj0d0337HRN1aBeQ0ZRKkFIHxVSgJQCKSVaCZRSKCXQyqBVgqcFvjb4niXwLA0/Ybom6I09VrozfOqeNl99YsSmmQHvelWHK3eMGA37XHOxZcdmxTjySJIizS+wSGnwdMKxc5YjZwWrQ8Nn721wanEGG3rM1BRb5zQ7N2su2QbX7O5i5CLv/3yT5eUpbr5Sc83uDl95QiBij40zkmYjZhD5SCvBSpT26YwE55YFV9sGr3phj/serbN1g8/N18zyj96yyIe+2OOhfU36I4+l1RYXb61zxZYBL768x3e/osfp5WU+e2/A0iDg2BmPU6d8POWOlUBgrCUxEBlLEhtm5iKuu3rAeBxx5Y4x73zVmI1TitlWQBTVOLNQYzD0GYzdKjfMgS0duMeC0Ri3EowTRqFhPE4cqCPLaGwZhjCMBMNIMDKaZ052eejI/Ruu3jX3u7fcOB99/Lcv+ujyyfcwu/2X/u4B/Kf/3Z/Tuv6HxA//C/m926ef+ePve9Uzjat31hyYJSjpO0EiLEJ6SGEREqSU6c9lCm4Hdq0Fnk7wtcD3DDXPUo8sjdAyVUuYqQsGoaQXNjlyssl7PzoLJkbEMS+8bsDFm0PiGIw1WOuSOFIIpBJoz2ffcZ89B2s0a5qWL9nQEMzPSTbOarbOK3ZuSbhi5yqJWOK/frrNsePT3Hy5x5W7EoZxj28+FTBd95ibsky3Qhp1J4WMkXRGiuW+ZamT0OnXedk1qzy8Z8De44rpdo0XXz3NT751id/7DDx6sEl/aFntac4tt9m8ocHGmRE750b8y+8d0G50ePII7Dsh8TyLUhYhDGDd/yzEMezanHDrtTFJ5BHFAdY2GIUeZxd9hmO3oo1Clcu3YSgYjQWj0LH2OHRZ2fHYOL0dmfQ9mzP3KBIMIkEvEnQiQSe0xIMRUf+x6be/ZP6Pf29lKcb/mU8MzzRsfcs//bsD8H/xmx/n0u1z6sH7P/yO/cdWPvznDy3WHt87zXv/cZcrLnKsqWTmjKQBpPBQyqKkQimV6m2Jp53m9D3F2JOMQ0MQJowjSz0yjCNDGFraMYwjwziGMBaMIsk4CYiSGnsPNnliLyTW4qDttLEnwVeu5qMVwDVboF2HqaZkpqWYm9ZsnIWLNo/ZMr9KZJf5r5+e4tDhKW68RHHJdsnu7St87ZmYc0tTvPBiyUzbUPOHBDLAKkGcSIS1xEnISr/GuSWPG6+s84LLe9z7aI1NM4JGrcWNlxt+/h1L/O5nDM+carHaN6z2FAsrmg3TTWbadWbaU7QbEfPNiJ03hgRejKdjlEqQqQNlcRdVFCnOL2iiWBHFijBSjKP0MZSMI8k4lIxCyTgULkANBePQMg7dcR2HCWGYavrIpoGlA/YowoE7dODuhgYzGvCCXSu852eX+a5rzzT6K/6HY/ERM7ZXfHrx6B8lG3b99Hc+wP+vP/wLNkx5av/JU+88deLsnz6293RNtOb40oM+npb8+k+tctW2HloZpEwcwFV291DS4imLpxWetnihxPeEOwmeYOwrwsgBPYosYZw4VyQu3ROIE0uSGBKD09uGHNxCgJKgJXgeBFpQCwSNQNJsKKYakpkpwcbZmJ2bB7Saq3z6vpC7n5pldbHNdRcpdm7xuGzHiESs8uWHGjQ9zfyMotUY8dQhePaw5todlsFYcf1lEdfttpw9k7Cw4jMcNXjjTT2+8eSQA6cUzbok8Ntce4nh1390ia8/M+TzX9/AUteyc2PCSkcz3VZMNT1aDY9m3VILDIFvCHSCVo4oZNpaaS0uYWUEsZHEiSCOBVEsCWNBFEnGkXNewkgQRpYwhHGUEEaGsEQc46h8d+AepuDuRpJOBMNxjIgH3LhrmV/7qWXe9GJLdzDDYHislqjpPxsks/9wGF30yScf+svk+he/6zsb4EdXrTyy1P3+pdOn/tvhg0drG5o+yyGMRZvP3a8Ix4p3vrrL976mx0w7pjdI0DJIdbbTw57WeJEm0IqR55hm7ElCXxBGwp2cSBHFEEbSOQhxYfvFiSFJnLuQ2NQpSd2SzJ1R0skeXwsCX1ILJM26oN2wTLcMm2bHzM/0iO0qn/iG5ENfnGNjrcZ1Fwku2uKxa6th55YVPv1Ny/JyjSs3K2ba0GpEnDsqOb8S4F8M40gwPyWZnoYDRywrXcPZxRqX7arxmhf2uO2eGnMtCHwfJae5drfgp958Hk+e53P3zvDsqRqbuhEbp2OmmopWXdGoS+qBJvAh8EBr5zDJNKbJQY67sBMDSSKIE1KgQ5RYwhiiKHGkEBnC7DEyqe2YuTKpBRk7vd2PBN1Y0osM4ShkKujyfW9c4ntf1ed1N0Kn12Q4rjMcBXT7J2uRnPrjLVtH2vPkX+B45jsT4P/1jz9DnJgfveO+w7918tiJdt1XWGGwSDrCZyQkX35Y8c1napxZWeJ/e8eAmXbMKIjpDWK09vG0h6c9/DAh9DR+6KRJGLlUumMc4ZgoZaU4hiiBJHFOgjEu4DLGZj2cKbgdwJ22F3jaAaQWQKNmaNVjplsx89NDNsysct/ekD+7o86+I9PsmvLYvRm2b/bZvgmuuKjLIO7y4J42deUxP6OYbsF0a8zMVIzva4RwF9dw7LPcjVgdWDr9mPMrPhdtbvGSK89zx0MD9p1q0wgiPOUjxBS7tyl++HWLvOiK8/zZHS0efHqapb5mYztmuhHTqEnqNUXgCQJP4nkuVlEqC9odyi2uh9UYcqDHiUlXt9RajA1x4sAdRxDGtrhHzpUZxY5UBpGgGwt6MYxGMSYeMlfv8XPfs8S/+IEBjcCj020wCgPGYcAo8jFWk4z2t8f9Lf9VtF/kn9j3qQ/tuOJ7vvMA3u12UFL+xB/8yV+9Z/H0yTmdUkldg8CihKUjFAPVZHWk+a2/9NhzaIW3vmLAq27osWnDmF63zlD7+J5P4HuMQ03gO3svA3gUScLYLbtRnHraCan1R8rcEmMpwO2SlClzg1YuYeJ7lppvqNdiWrWYmfaYLRu6nOsM+P3Penz54VmWV5pcOi+4aKNg20af7RsFF28dof1VPna35vCJJpdvksy0JFPNBCnHnFqwBFoiBVgrCCPNzo1dHiKhO1CsdC3nlutcvr3Gd7+qwye/4nP0XICnI4TwMLZJFEteePEKO3+gy5cfHfCRL8/yyNEm22YEG5oJzVpCzRcEnsD3XKyiFS5wliKvybC4i8xYnNOSOMBnII8TJ+kc2CFMXK1LmCWPYsEwhl4s6cUwDA3JYMz2DT1eeeMKb3vFgDfdZNCizvJqnTDyGYc+48gjDDVx4rzMs2cW51rx+H2XX/89qtfrfaDVan3nAHxxqYPF+0e333X3e5599tmN043Uj41tmqyxSCHQAvxY0BM1OqHmY1+r8fUne9x4ZZcfeN2AN9/cYW46YDgKGI59As8jjD3CSOeBUhwrokQSx5IoEcSxJEkEiRGF1jaCXJVYcjtSKec6eMrge4bAT6gHMa36mA3TfYbRkK88Zfn416Z48OlpZnyPa7dZtsxKNs35bJ2XbN8Ucsm2FZ48OuSz35hnSmnmpwTtpqDdiOgMEr74zRot3yKEA9ZwrHnrrWO+8ICrien0DedXNNs3tnj7S/s8uLfHngM+zSBGSeFAbhqMQqf1f/g1HS7fcp6Pfb3L/c9Oc3ylzua2YKpmafiGmjb4Hs5alaTH3H3vrPzIpFLNmGKFi1OgO4KAKBFESQrsRDCKBYNY0E9wMU8Y0qwPePvrl/n+13V54eUJm2Y8hqMm3b5PGAWMQ49xpImiLO/giGk4kpzv7N+ogvvec831t5rxaPWDQW36bzfAV1dXWV7uoyU/8oUv3/OfPv35u+b63VUCT7n6EUE6tDIFmAAtLYEU9JTHwFOc7AacfqDBA0/1+eR1Pd75miFvuHXE7LRPOA4Yxx5h5BHF7qBFsSJOFHGSJmySAuDGpsxtipoyIWwaVLo6Dq0NvpcQ+BH1IKRVH5Iw5K5HJR/96jRPH5lCRAG7Zixbpi0bphXzsz6bN0i2zkdctLnLiYUef/j5JvG4zvbtgumWpt2EdiNCeCHdYZPplkUIgbUQxZLZQBGbmF7k0xskrHQVpxbqXH1Ji5/++6u87y8Cji000SpKLwxNHNcYhZLNcwEvvLTLdZf0eebYKT7+tTp3PDLN6U6dZqBo+dD0LL62eModYyVTSVY6Xwawxl10iREkFuJEOP88EYSJSxINE8EwgWFsieMYE42Zqw1542tXeddre7z82oipukcYNVnpBIwjPwW0RxgrR0iRIkxUvuJGiSKKVjhx8K6Nzbr5T1suujXuLJ/+79Jr0mr9zXUI/Y0CfDgcMjfXfNv9Dzz8e3fedVd71O/g+wpjACFSz7sEcGnRibPngsRQV4KB8hnEmvPjGp97oMndTw948Z19/sn39Ljqoi4bpxXthiaMfMLYI44LkCcZwI3EWIm1ThLYPKBMU/3KuiBWxwR+jKdCusOIhW7E73y6xpHzMzy6ZxprfObqgo0bLBumBHNtxdy0x6Y5yea5mG3zA+amV/jyY4ZHnp3muu2CmZak1ZC0G4ZmPUR4Y4JAo5X7+9ZCkkiGY81wFBEbQW9o6PUty12Ps0ttbrmiz0uuXuVjd9aoLyu0jBwgrSZOfMLI9XhumK7xot19XnRpn4deeZpjC5I/u2Oa86sNTi4F+ErS9AR+JsPSY58TeSZVcEweW0FsIDKCcQKjGEJjIYkhjpBqzNaZIdftdOfjpqsS2nVNHDfp9Byw41inBJQCO5YpaztwR4mTlXEiMFazvNLnwfvvnrtqEPze7stvXBmNhp/9m8Tk3xjA9+8/wObNm9VHP/qxS5/du78djrpMNTWxcQ0D0liUgEgKlLA5uHUi8JTFjy1BImgowVAJBjpgmHgshXXueGSK+54d0gzG/MM3ddg+F7Nr65BbrumhhWsRE8LJFZeVdLXS1paYG4uQFiWcZ26JQcY8c0Ty8F7NbQ+2eOZ4izBu0NKK+bpltmmZaVjng7c1s1OauWnB5tmYrfNDtsyvcPfTY95/20a2TGvm29BuKtpNQasRUw/G3LdfMQo1XtOBylpBGEtqWnHD5UMeeGraFT4NE1a7HourAecWZ/jpN5/j5OISDzw+jycBEWEgB9A4lPSHmplWjel2k5dcPuCV1w34gVcvsPeE4QsP1nhwb539h5vEQjMeKwaRQgmZlz9AFnimOQFriI3FGoMnEqb8kBoRL7mxz8VbRmzfEPHuN4yp+5Jm3SMMG3R6frqS6pRwVO61u7us3OMki5NcYVhsJMOVPv2H7mufOXP+0jf+ve9RRw4fSi6+ZPffHoDv3fMsG+am/UcfefjHrE1+q7O6Qr2uiWNQiSWWFmUglo7BlRSoGCcREouOwZMCz1iC2FJTgkYiGBsYJR7DxGOQ1Oj1Ev7Tx2awccSm+RFXXzRibirmna8ZctHGkCgSqd6WUGJusvS/NAgp+NTX6zx5qInQmmOnG5w616BWV0wFgummpV0ztGvQqgumGop2SzHT0sxNw4bpmE1zI7Zt7JLYVT71jTbDfpPLtlvaDUWrIWnVDa1ajOeFfPmBGuOBxNvoSscyidKsK9744iH3PGbojyX9YUJ3oFntac4uNbjq4hbvfHmXR59pcGy5hZIGiFK97BElinHkEjP9kabT92nVGzTrY67aPuLmK0acON/h6JlVtJfwxGHNJ7/WQChXuMbk/EFrAAPWEoUJOzfFvOs1Qza0E67Yadk0B0nsMQ5bxLHHStcjjhRRotM4SBFFbiWNYpXGRCmoY5HGSSKNkwSxEYUfbyQLC8vMzke/9fhjjw527Nz5oX379oRXXHHV3w6Anzx5koWFhctPnz71+48//oj0tKsAVNL50Uq5CF2lWtDdLdoIdOx0YpRYvARiJQgSS81Y4kQQGkuYCMZGMk4kofGIDCz023ztSYMl4a8fdCMbsCa9Z1m81CITWUWiRCpFHGmk0Xha0grg4nlL0zM0AkMjgEYgaNYlrbqTQ1MtyUwb5qZi5mfGbJ3vkbDC7/xVjXuf2sjuOZhppOzdkLTqMY16SLMxpF5vECiJkqkGx8mBKPIYDQXDcUJvrOiPDL2hcS1zTZ+T56Z42dVjfv57z/Hbn9QcXw0QwmBthEksUewRRpLR2JWxtoaaZs2nUa/RCBrUgohWPeSFl4X4XsRNl8W8+7UDtIrTJJBx9fZlUZ5KOmMkQkgCTwE+o7FmaUW7up0ki3nSeyyLGChO74kDd+ZsZUCOk/Kd0vvOgHjooYeksfL3h6PhN8aj0dN/E9j8/xvgt3/ps7QaXv3wkcPv2HfggPC0mx4lpEnZ2llPiTRIKRzIlZMnceK0YZyATpyUibOIPkmj+iyyN6J4bQShkcRWkhhNZAKS1PYq3/IspQAthMtUKqjVLTVtqamEwINAQ8231ANB3Zc06pJGTTuANwXTLcNsO2ZueszG2T5bNy7x/tsMH7ljEzumFRtahnZT0Woomg1o1BNa9YgzS4ZDZwJqvrugIav0E4xCzcWbDZs3jOiOfIYjm7K4ZLWnadVrtBrTvPu15zl85ix//NltaKmxGBKTEBtLFGvGoWIYuqKoQU3SGGnqgUc9SOj0XIzhe4lLmHkJWrpGCSldOl+kd1e64ko4HcgFHZNWWRoX1ySJxBhJbIp4x4E1C/Cz56XHCWAnGbCNK1HOHJs4cX/zySefFN3u4B07duw89Om/+vTwHd/9jucX4L6v/aXlhV/srJ77RWHGMvAlcQJCSOJSfUkiHYslClQiSFJ5EhvQifOrkyz5kOr2JAW7u9sizZ5WyjkvV+SBUllzA2kw6wIrLQ1akta0gKcEnrbON9aCWiCp+ZJ6oKjXFK26pNWwTDUTplsxs+0xG2YGXLRpiQf3j/nY17cyUwvY1DK0G8KBuy5p1gzNWkyrMebBffDE3gaXzttU9xZp8+FYcdMVlssuGvLQ09MMxpbhKKE/1CnIPRq1OvXaNN/3imWe2H+eB/ZsBqswJnHlsLEljmxeTzIcaxojS72mqPmGwPcI/IRAG7RO8LTLDitVqv0RFoRFUOi5Ijh3JcQmc6RMZr+WrNgM2CYDcPY6y5ZOgNu4xyTJknEO4Nn57XQG8uTJM/82qNX9Vqv5G0D4vAF8NBrI8Xj0a1/83Mf+2eryGb8WaOLE+a6JFKhEEEtLIgWJtCTKkhiLSpMKibJokz43roHWJOTPkyzjZrPMm8WkmbgsWWGtpZR5r6y4mVsjc1mUZiwVpaItl/0LfEUtUNQDQaMuaNUt7UbCVDNmujVmbmrI1vkVHtg35Nf+dBPHT05zyQbDdAPadUWzrmjWoFlLqNcifG9EZ+SKxTxlkbL4ZIkRabDl065HDGLDIK2zHowSegNJp65o9AJqQYtdmyN+/cc6/OqHJd/cswmLwlhDkhjiJCaMDWGkGIWKYSCpjxU1XxL4lsBXBNrgec7v18qmdT4O4CqVKULYaoNumtq3KYnYtJYlSQGfmOLRkZFMH0UB8PR5ztpJ6tYkWRa1tGonxuEgsRw7ftKvNZr/6sd+9Ie8wWDwbxqNxv9wOv9/GOCjYRdrot84tOeef9rvHKs16jLV2S65kKTSQyYCIwWxyoBsMSWwJ4nFZM+NwBibp5FN7tGCNdZ1kacloOU7EwBPZXdRiiscuJVykkinrWielgS+GwBUC9xIhnpgadYMrUZCuxEx1QqZbQ/ZOr/KA3sH/OqHNrDv+Cw7Z53D0qpLmg3p2LtuadQSGrWIKAn58ztbSKXwpHOQcga32RLu8cOvX+H2R0J6YcAgBXh/qOj1FZ1AU/MDAq/NFTti/sOPL/ErHxLc//QmjJUkxqXVo9gVmo1Dw7jmyl2DQFDzBIHvMpu+tnnGViuDVC4eksIl33KAFylPICURXC7BuS1pIJ8BOJ06YPLkGim7k6+4SQ5oiqypIQe0K4KzRTbVSJ7Zc7j2+S9+/f9421teJ1ZXu780Pd3+fxfg8eBprLUv6Sx8s173Rgg0YZRmzaT7kjKt0kskKCMck+fp4Qzc2fLk3jN5rUTRfuWALlwdRQbq7MBPfK4M4FkNRpbJy9hb66zuROJ50tVv+IJa4GaeNIKEZt2Bu90MmW4PmZ/u8ODeAb/2wVmeObaB7TOCuWZJmtQ0zZqrX6nXYupBiOeNObU0g6cESprUliuCzCSRxLFiy4wljiO6US3tlDEMRwm9kaQ+UNR8D9+r4ekprtwe8x/+0QL/+k/ggWc3khjpAJ5YojhJmdwwDgy1UDLyVS7BPA88nTpXSro4SBZ5CZE+roNxJ1dIk0KIPDlk0uRQli1OktL7ppCcufxMbL4SJ6YgvBzoqeyKEkN/GPP5Ox+qz2+96CVSym+Jx79RgN9115088PRMg877/Wg4wvN8EmsAmWpu4UAt0ytYlb5o4oBujCXR5GCvAjuTITYHus3kSPb8Ap9NiqKIyl1sIge3kjJtlMjkCdQ8CHxDvWapB04/N+oR7UbIdHPIhpkOjxwY8SsfmOGpY/NsnVbMNw1TdUGrJmnUFI26oF5zF4dL9Yc8sEfQH/nUFOlF5jR41oSQGEEUa5o1xS3X9HjwmTaDyMmU4ThhMFT0AkXgK3zPT/XzNFftMPzmT57nF/4I7t+zkchIImPSZumiB3PsSwLfOPb2ijp6rbI7qUwpZJxMs7zrgTxLCtkM4Cngk9x5Yd2V16T62mSgNiWCy8Cevo5zkDtCW15Z5ZN//Tn/3/7cOxtfufOOwWu/6/X/8wF+6uRxNm3eNn3XHZ/7w0NHpl/RDgy+5w4Y2Jw9E+F0eB4cJg70RqWaOl3GjBLrs3YJ0CYHdtEUTKq985Mh0j58mYI7LTJSOcBBpRWDngbfw3UC+WmBVZBQT+VFqz5mqjVkptXl8YNjfuUDMzxxdCObpzXzDcNUHZo1QbOuaNQVjZy9E2pBTKsx4u4nfFY7NWZmijR5BhiTatMoUWycU7z2BX3ufti4LprQlEAuqXmSmqfxtI/WdaQ0XLXD8p6fPM8v/JHl/n0biYwmSisAXdmrY/Igknl1oa8lWqdFWFKgtMjlZPb5soswkyoiq0qjSAhN3k3p0ZjSY77yllZruz6w8/dS0yFJ3GoyVYPNTfuKh5488Cdvf/vbfubY0WOrO3ft/J8L8PHgFKePn/+FeHj4+xt6Ec9TLhJPdZwUDsiJstWiJ1UKGo3AKPKr3k1oymQIOXtXAslJ5k6RnmXkcu0tswq6QndnFYNa4eoztMXzXGNxzTfU/IR6LaZRi2jWxrQaI2anOjy6f8wv/tEGHj+8iY3THhsbCVMNm4I7Ze+apB449q8FMY0gJDZjemGAUBIvY/Bcg4uU3dICscij6Y9cuUBYYyYD+Shh4DsGD3zpauJ1tgGt5dpdlvf9zDn+z/9muH/vJiKjGSeCMDEpiwtqkSHwLL7neld1Gne4/laRtgG64+RkiiitgO6o5hdmOdaZAHdOQiViKoO7iKtSkCfkTpgzFmzVSCiZCHsOngN18Ps3b33iUBhF//p/KoNbuwfYtvPwk39yXds7DDMmtepcEJJY53PnxU6ysPhMWtmX2NIylmo3ky/b5QMmSkxRZCVtec3MWLscVIoiDtDpeAklXROApxywfW3z6sGal6S6OaJeGzPTHjDV7PHAnphfev8GHju8ifkpzXw9YapmaaXgrtecnZiBux4k1PyYdjNkz1HL1x9t4kuJp0waxBUeRbZ8R4kiNppXvTDi0kv6HDpeZ75B0ec4ThiMUhbWCq29NFnmvOtrdsJv/tQi//qPDN94Zp5RVHfJsNjSSGu4Aw8Hcp2tXiaVKBKpknyFU1KUAC5KIGeNXilAbqsAzysUi5V3vZU5e8yaUIwtbMJ8FbBgI+e+PPDkKZbDh677+Z/7qZ1fvPfEsTe/bMffPMCf2HuWfUc37Dp9+qv/pTY++bZ2fQlrW4SRyqNmlXqkShagzu0kW4C8spTljJ2Wteae9oRLssYtSZl7EtzCIlWRLVUynZ+SMrevDZ5nCDxD4MfU/JhaENKojZmdGrDSG3DP0/CbH93Mkwc3sCEF93Td0qoLmjWRe+XOeTGOvX0H8HowJkwSRsMaNeUuMilEpZIvS6S4QFM7La/HjEPrOtJzgBt8P8H3NJ4n0UqhpJcDHAHXXyz4zZ9Z4T/9Rcz9e+c43WkzakqmE0srttTSiQOBZ1PvP3NSbM7emVTJAJ5/3vRDl3GeK8T0pGSragHuqqR05Fcwtq0AvWDssh1csDuEseRcZ8jOS8++TQ7uSt700pf9HzY+dVTob29Pz28b4MvnTxAEyzcfOXD4HfXkENde0sLXCWBJpCyAPAFsk84bSTK2TqWIA7VIl7YsYVOVImWAZ4e4rAqzk+DGPWTsbVN5YkvDgVxZrKdNOmYiycEd+Cm4Z/ssrAx5z583+Ow351nszzA/JZmvpeCuOd3dSAPLeiBpBDZlcKe9a0EIhHz1cZ+VyGcuoFKPjaiuUEnimh/ageY1Nw54YF9ILwqYyjvWDf7Y1ar72gFcK4uSHkK6BA0Wrtwh+e1/0uULDwz5jQ9u4uTiDMNpzbQvaMWGRgxB5EYv+8oNNPKyQFOKPAjOHsuBevnCFCLvFcnPD0xIyDKwS/GTKYE3I7Q8WVcBfLHCJcbVogupOHrsAAcPbHnHTGPLnw+Gg6N/oww+Hg3wg/ple57+5v/etIeYn5llHKYzRFRqwyWlBIAtGg0SK4umg7LWzkGdSRBb2FCTrF2WJemBzpglSzdnLoDKAK4sWjpgu95O19/pewm+F1PzIwI/olUfovWAu59I+JMvtrnt3o2Eps3GtmBDzckSZwFmPrlK7yJl7jJ7R2g95r5npxmEmi2N7PNMMnhmpblS0pqneMlVQ2LjAD6MhOtazzrXx8YFh1qkLO4uZJEm1y2CDdOC7391n1Zwmg9+ccg9z85xNqozqEnasaWprQO5TuMQZdO4JMtdZMdQFLXjEiQFi0/uKJhLlWxEBUxo83L3UFF77twXW13FKwAv9Y4aaHjQ77T45GcP0J669n9/1Stf+thgMDjw7cw9/JYAjwYHOH30ywS19lZGB18511wg8BSGOPV3LcpYjHTgVqaU3jUlh8QWbF6RI5nWJk0mVIBdsh7K9pWwE9Iky8qRjp0gn3yVMbenXC1G4EX4fkTNC2k0Rvj+gI/eoXnvf9/IoYVZvKDG5pZgNkhoB5ZmAM20w74euGxnLU0IufqVJF0JnDxZ7Cb0Qx9fKXxp8wCT0lfJLuysdiOMPereiM3TQ1YHLYaRSMetuVjB85LU5lOp3akcwCuBq6t8fNvL+9x09QK/+WcjPvLleZbjJoPAo+lJ2trV4AQafEXeDKGzpE+68slcqhQJoDKpVMVKGehUVmBjq1Kz0OYT95LZYMrMnv4sa/V75uAKt9/97CvPLEVbV1Y6Bx5+9gQ3Xf3cevxbM7hN2LH7ll395afevxo9xIbZMaDyya/uwxuMESgrcxBnAHesLfJANDsZWfCYHwRESZKICWmSgdsWbJK7NiWAS4tKi7wK5k5SkMf42kmSwB8TeEOOnov54y80+cw35jh8boZ2w2O2BjNBQiuwaeo9A7dMwS3zpFAt1d6B7y6cdnPMp+/THDhWp5ZO4MrbxShQno9xsE6HR7Hmyp3wlpt6/MmX5ug3NO109kgQpnGDMmgt07F1lEDulc6VWxUu2iD5pR8acN3FJ/mj22Y5fHaK5bjOwNM0laCRAt2X1l04qcuUr37Zcc3sQ5w+LzKddq1PnhFTVjqR++ZrLUVbBnApO51UYjOR//cAoXG18J+9ex+XXXvN+7/rDS9/0+JS91tKlecEeJyEKOkRdr623Y4f3N0ITiJFG5OkDQWkNQp5YY4pAVzmwVQhQ0Se6cpeF3pb5CxQsEJG27aiAzNgu8esoMuB27kmGXsneDp2nTs6JgjG+HpMLwn5/U/4fPALmzm1NI1RdWanFLO+Zco3NFLmbuTpe5nWqaTSJPXOc3D7Lns5jkIOnAzohwEzQeriZEmnzJXIsrC2VJMSadpNzcXbQ1Qwohe2GPqCemQZZwDXSZqoUc7HllkJ8HrBq2J+asBPv23AO151lg9+ocsff2qOxWGToa5R04qGFtSVq7/3024fJUWa3SRdDe36TM46cmXSYQEqsVQG3hKRGUsO7kpm1FYvgGw1CI3m6MkuX/rGM7trNX/797/pRUdH44ha4HGh23MzeHQSq6fmEf4nxqv3e54WwJgkUWm/o8AamV5tE2CvAL/6MzvB4AVjC+y6H8SW7ECbA7siT/KBQYkDuE7QKsH3Imp+iO+FdEYh9z0p+egdbT71jTlGSQvf95nzBdO+oelbGoGl4RfgrgWSIJAEqTRxiaHUmUgB7nsu83nkjOWeRxqEkUfQtGsCzOxWpLMdEYSRwvM0r72px8fu6rPvZJNhzY1mGHsWPwYvMnihQSnpfGvpBpLmw30ojmdiJLGRNALNpukh/+f3DbjqojEfuaPFw3umWBg2GSkfz9PUtKAuIcgGLGX2qnQ5jbxgTZSOf8rkk8VZZUbPCGrSEcteV5ia6uskBX4G8NhCZAUjA2Pp8Vd3PeV935tv/sTJ850XLK70Fv6HGfyeZzbKjfXHbt7Z+PSUpwYkws32SJRyoxhK7WEFsOW6oC7LkvyeATuVKGUGrxT+uB4dx+R5Stnk5Z7ZuDetEgdwleRyROuITj/i3qcFf/qlNnc8OsVyp4Ws12jVFdOepe0bGp6l4VvqPilrO+auB5Kar6j5gppPWqFnUnAbAs/pb6XH7D8Jpzo1l1hJ9W01cVLUz7g+SAfy2EjCULOpLbhsx5CnjscMIo9xOuPbD3HgU9lk3SxRA3KiMye7eDIbMkpcffi7XjvkDS9e4SuP9fjwl9s8vKfNUq9BR/r0fY2vBL4UBBLXwyndLnVKFBepEmnZ7zoMvqZ+ZZLJS4SWATobRpSUAB+T1rFYiG3aJ2pdUJoYCzYhHET83kdun3rvP3/ZzS+65pIv8RzDg54T4EtLJ4JzkfhvTy/vb77tliGx8UkSjTEO4ImV2BTQ7rlYA3hrRLosFa+BKsBLB6TCCxVpYikX6BdzDE36mLiB+JmbISMWejF3P6L54r0tPnvPFOe7TUSthtfyaGuY8lwnT90jlR1Q90V6l2nJaaq7fUGQsXcGcB3j+zE1P8TaiK8+GnDsTJ0NswJPmmI67jpsl5efppJiOPbYuUnw2hsHfOabIf3IYxgJap7rV/XTyVLFKqVyvxohKzLF3WXRqGCc314Pxrzr1UO+66Yl/vobPb5wb4O7n2xxvtNgKHyGvkZ7Ci2EayGUEk/YVGpZFKIkDav24Tpknp9bU3osSw4nUQrGji0kpKW2+e9k2b8ETJzeQy6afrh52c4b/hucvAoY/g8BfM/+R1le7XLfAyPe8coIbQxxrInTfd91GlQ6UMucwatSxL0mBX3lJIDrnVynJrASUJaALYRJ7UCDSAGudYKvI2q1iNE4Yd8pOHpa8fE7p/jSw23OrzTBq6HbHg0laXmWljbUPUvdg5rnwF3z3ExCV2YqS3eR/tymIDc5yH3PtacdOm146kgAnpcu87aUohcVFJSDsCRrvk3cOOdrLx5z9fY+e081GNYEjVgQRJaxIrX2TMremZuSWZCFVsl99tSKNEal0wc8RqFHvT7mR9845q23rHL7I33+8q4GR0/X2HuqQbgaEAeakdZIJV06H9DpY8bkuXShCP7X3MpuCmX2TlkbqnIEl8rPRTupvULsAJ7EkMRIG/HDrzvNuLNnetX+ox9c6dk/mWmt9wGeA+DW7hdRNPjfv/i539rwtW8I7n/G46XXhHi1mEApTOjGACRGrQF4tjFrxtImf+3AWwV36ZKvMIItaT6X1HCSxKS7PCQEgZukGicJZ5fgzq9pDp2s8/UH65xaqXPodBOCANXQ1LSiqS1NbZyL4LnB+TXPjWtzIM7uMr2rFOCkmjsFt5cQeI693YUVcmQB9hxt4MmqPZhLFIp68NxRyJNgaV9j7HH1ziGXbRzw9OGYQezRigRjDX7sZgKqEsClFAgpK0xeMGWpjNVk9edpU3DiMfZ82vWQH379mJdf1+XUSpevPuRz+ETA7Y82OL1UIxl6GKmJfIWQ0q0UaVe+JM14Qi5b1gN5JdCknKXO3Jb03UlQ2yR93zgLJTIIHSFUwq3XjajX4L1/cnD6h9/V/3nfiz+4FkXfAuCPP/o5kiT+/mcOnmkeORHwc++b4/rdIa980YirL47ZOptw6a6QwEqSUGKQE7q8CnInTYpRDkV72WRgaUsRe8HauRRRCV6QECWWwycETx1W3Plgg6eP+Dx7pE537Obg4fmotkegBA0FDW2ol3zgQGd1GlnZrKsLD1JZ4vsK35fpBWAL7e0lLrPoOZ1f8yOsCTm3LBnbAK0lvrToks02QeA5yBNb7XcMYw+BZn42RKoR/chjoIVzOqKiYEwrU8lASlGKYrNhRxQGQNZalg1G8hKVj58YjH02z4RctCnihZeMGYZD/uGRDk8f9bnzgRpPHalx+HiNKFYQKKxUICSJLGWD8iTFOlqlIs4zHzh7NMUjmdWSNo8bB2otEnbvitg2G3PlxSGvetGY63dHbJw16GQPd33tIyh5YSGy7k/+4we+zEe/tqIefOQB8dRTs5zvwblVwTOH69z+YJMpL+ai7THXXhny+pvGvOaGEKzB01BvWqxJv7QRxJEDfBZIumAyA3X5rJN6625+iaet21VNWqLQMhg5Rj96UvIXdwQMIsXjz9Y4eCJgse8zTnzQPigP1Vb4UlBX0FCWmsKNM1Np4ZFyrO17wiU9yuD2JH4qSwIfAp/UNXEpc08bfC9OM6IR9VrI+ZWEO+9v0ekFzEwJdOrFZ0Vf4kLMZkoBoZGMx4oNc4o33DLi9oeHHO80GXrSyRQNXmzxosyzTj12mTi7kPKsE5n/DWN16W84oPuJItGK2HNjH6LIc1aqF9H0I15+bcxLrhrz9leO2H9C8sQej2Go+MidDY6c9UBIBkNNEqqsfBOrM4BPWEbl9G0F4IA1iMQijMXifMR6M8bzDMIaXnPjmNffNOKaKyJ2bo+Z8mBD2yKs6/H8F+/q0IseFXMbX65++vxfxo2Na0cxXxD6U1Mzv7/3qLr+3KAFngHPYoxhYWBYSBKOLFvufzrhE3fGzM/GWGO58fKQd71ulDY2WOanDDdcG9KspauPFXkObO05F/lwns5A8MSTmqWupF6TPLjH4/PfqDGKFKNIceasjxGayHoY4YHWiECjpcRXgpq01FJgB8oSKOtqwHXq+eqCuf2sLzMHt0p7NEXO3r5n8P2sQCvJ2dv3I5QK+dpjis98s4XytbPbKvr7wgyeeeFJkjkeitHI4623DvnsfV0+8tUp+nGNZqrDvUyHR1lSxubdQkLIHGDuT8mS1i8B3Dgmj7Vjck8rYq3RceKArhKUcoP0Z2oxt14Rc8sVEVaMeeerB4wiN87tc98IeGiPTz0QLHYVTzzt0x3IVCUJLijK850nXGvgDTeEbJhOXGVhYnjX60bccFmENTA/Y5idBo1bKUyiGI+cSsAKGj7UgvH12p/5fWDdafprAG7tWWBT+71/8skrMEbhBelnNSCz4TAGYwxjk3CuYzi36paZ/ccNn/+a+7lNLFMzhpuvD2nVXU3wuunJ8qWeug6rfcXDT/l0OwqppZuJYrVjJqFxc4E1SI2UEk8KB2ZpCaTBlw4IvgJfFTP6HMhF0fCgXSNA1nhcBrdj+LSs1ssYPCndYwIdYW3IqUWfcFwjmJL4adpbpVV5lSxm1tFDkV4vQO7imTDymGkpdmwI8cWIYRwwjAV17QqPshqSLKGlZLm8VeZ/y/2NLC4yRfbUmLT6s5BGcZykeQOVzmWPieIEFblcglYJUsZs32DSFcNw1UUjQjtEakOnI3j4Kc3qwFWSTgpyWz3LYF0w2axZXnJ9xNSMwcZuZa8rUK58zq0+sTv/Jh/HV47xLIlN1NAMrhg0/mF739HV7hW7pp8b4KfOrqB1731L559+9eqwh9BBGhxls7XTtVVmQ3ZMHhzE1tKxqZ5Shu6q5czXmqWvuB7Ay/otPTlCYLItF0hrToUqghwpUysrA3WadpakG7dmvnHpUaed9Ip06z1ycLu2LoWfgtvX5CWmjsFTFtcGP82Oel5EEEScWDT82e1N0D6eFEWAmcsTsYbBy/5wNiTUgc0N1gkjj3e/Ychf3z3k2XMt+olHI3ab0roqwGKAklBZTqAc7GWli5kUkqUCr+xu8loYrRVe4ualeCnQlSySZq5uPH0uTDo4KEELi7AJGxqGv/cyAyIpNu8V2f4Zax2yAg4CjMZETlZZK4gjQZSP3pMVJy6zpE0aXwgBo7DHgRPPvvry6468z4j4Z78lg//q73wDpYR/5/1jhNVMey4EiNNgJbZgUROAn4yE0/eUJfEq1QrrfN+M3TKAV4MXIWXegqYEeMKllQPhqgU96V5rSVpTkXaPZ4VEmtIcFNKd2Yqu+gLgMpctgW/zljbfN6XBOTFeyt6+jpAy5NhZwUK3htCaQFKRJ7L8tUqnuywdKsBLnY4w9phrj9m5ecjes2OGiWaUQJAIvMTixakOj8mdpSKFriqdClls5zLPNi9bLqSRQSeGREmUzrYvV2mxWoJUJl0pTGHNpiAX2d/GpJuH2dz1yoCeOWAFBIoWOMrxWNbYnBsTaV6l5MJllnQ5Uy5QXL3tHGr41/56+Z61DH7sGEIIWgyxdUgwbqaFdd3xUZpZim06I4PCAsoCiMny1ueUJkK4ZTXvBRRIihSxm0oFnrB4IgWtLEYva1l6LyX7ohSUvMHWV8KBvQJu6R79DOhZ8JmCO+v+0SaXKJ52+tT3I2IivnBfnXMLdbwphV+u4Sg7KEwo0nLqulSYliV9RmM3wfbNL+1z35MjunGNgdbUY0OYptPzMdT5xeSYvOgcygLNrGozsw7TmSoWEuX+pjaCWAl0ItNd7FwtT5wCvUimmTzBJqUpJd7S57IM7tTmzfeKucD5zwvt1iYAy3ZzOVNuyu5TLIj7CuWdZj2FUAH4pz97O61W/WWf+Ou7b+osRQgD4wQikY5OswLfun1ukhLAM6PeIopiGtYXJDmus3uWLBDpFrBpIkFDbrWpNGXs5psUGldlwJZuP/lsFEIZ2PkcFIXrR1wP4FnAmelunckSm+rtai2570X4XsjZjuHRg3XQPjqVJ7pUoJRl+8QEwt0JLFXd5X2pMvfEo8jjxkvHzE0P6aw0GMSKhgIvdt9FJW6AkorKAMeBPP9DcqJSU6R9k2nVpzIkRuAZQaIkiTIkShCnIC8XrxU74ZlSPsKBOiuZEJgU5KQlzVkmukjaVYoxbJnJy+UaovS5RRXkpnqcxqHLAuvazE0bd7zmZc8+8aZ7r37B6y7A4NYQjsO/166LGwIdk/gaG1oEwkXs6fCdbPsLQ9GyZCofrHqfvIDLZlJ2lWdZsQIcNmfwyRJOndVGpDXgWamnay7OOlWcLFF590oB7Kz51rF3qrk1ud7OLEHH2AW4vbw6MUIQcds3Au57uoUMNL4Ubv52XkFYns9SrqMu1rZ8NFrO4i7QTIxiOPK45Zohb3l5jz++rUWYBPQTSS2xjGPSlatc9WdSOWcmLqgLMTkYLYsOrBTciZIoZRyjS5mOljClUuRyDZAtQF7JNmdMni3SpRhsomwhS/7l0M+BPiFZSixelnPjyGOlI5BjfUNzbvT3TJLcuy6Dry6folZvvuGxh7/+Q/PtRZp1QW+cgstasCItPC/NKSGrM8iqAm01Mymq6qQcaJXBnQFAlkCRbQqbDQ/Kukwy5nZbkGSvSRmcvA2rwuJpN4ynquB24xQmmDvt2fTT9jZPZw0HcekeERLxl19tk9gAlWcvywFm0deYORsVDc5Eu56RbpRGkgWbGoHHu14z4M+/MGbVRAyTGsNE4MXkLC6lRcYiLzpzduGkFpUU1qQogVyQ6HRsg0pBri3KOLmSKItKXAWjyx5nc2/KFmW5urMoY86bUnKg27U4WCckqyQAJ1efUgeYSyo6TI5jxeN7Fuma1R964xte8/Ujx07dfvHObVWAB3qIsPLS3VtO7D6weS8r4RYGY513pYu8706UgJ0xka184OeUJiKNOURVnuRAnyjPLO8GUdacxRjmYraHUqLQ4mnFXWXYTQpsrUThpOR2oOu4d43JNmXuIsDUJfYOvJBHD0oOnK5hlYeSEl8a9GSdRkmAT7oo2b3c3lf41Q7kUeyxe2vE1Zf0+eb+OpHyGcaCmgQvseg43UxApF04carDkalYLP9JUWJxUZJGxSiPbCakViYFd9rOpmwJ3FktkE3LBDImJ189RAnciGxi1lr2Xu+WBZwZu6+RLaVyayGgHkTMTvV55MBZhsE1u1/68vDS1X50+xoG/8aT56nX+tx1T5cPf7bJoB8w7btfyIBWBrOtALz04Z4rmqAqTXLAl4FeArfKa74L262QLMJ1z4sC3C7IFHm3uM7BLSsALw//cd325MDOs5U5cyf42iV2XFdQhCXik19tsLRURwTa+e7li3CyBqW8bJUswqz5tlzHnXvTRhFFmg2zku99bY9HD7YZJzUGyqeeOC2elbMqSQrubK0wqSeepcEdi08CxWSSszSVyt0lymQrks2fO4DL9HuavG0u6/IXQhbNEZMMPtG0UqT7bOXgZIAuMFauOC0+e1bKIaVh15aQX/rRRbz2YTY0jtH2BjnqcoD/y/d9AaUkZxZ69Hsb2NgQeMrk0qBSUkAhUdYuMxfm78z/L+TJxGMZ0GUWr4wXKxhblhlciRKLZ3JFonQV4L5OBwB52daBaYZTW7w8FW/S50nlrpXr3Hn2GHzijhZj6aOkSrOX1QtxMoM5edmXj2NVh6daPFHEiSZINN/7+hF/+qUBTx6uEymPgZT4iUndI4FMbOk4WddeJsprqUn/VnXfojKTJwZ0biG60dYqLQlQiS2GdeZzWUR+QccTejwDX7VBoph9CGVdvj5S1nYIiQrWcszEkjCqsXN+lnpjL+H5M5TtQg1w9Pgpdu7Y2vj5f/0HFz80XGUonRbNgrlKYspWT86FoD15Qiv6O72CJ7X3hSWKyIEzOQ5Zlhg7CzKzqU1aZ5u8ptpbTYA7S997WWOycTND8haxrKczTu8Rygs5cErTC31QOpUndqI8dvLCrR6Q6kCjCS887cYpEj+apie4YtuIJw+EJCZgaHxqiavZ1qkGV8Jt5OoSSxlbunmRZZA78MhCzxrQ+WBT954yzhLWhrSDyLo9ltKG5Gy6VpJ19+cGQBFc5oHnxPnOuVisj48KpErMvR7eBOSlB8ORQvd8mjNXXHz5C/9pY3Xl1wbTM1scwE+dOsPq6urrr7t07hf2PTOiqQSmNAqgvJBU/ojN5dK6CJ90Tsrv5QCQVSAUwC76GFWJFVVlqGYGcooaaVUCdf48TfIoUi/cgdsBuBgK5JXlSZm9VdrX6Ycs9wz/11+1WBrWEIHn5Elpa5ZslSmD/EK3yjSBbE5MzuDOUYljTbuh+bnv7vGVR9ssjX1CqRlKiZ/2UBYjH1IGL9fTC5OX0VpMCm6TZw4LZ0WkDG7zID0Du5IiZXAniZLcRSGXKYUOL9oJC5mSBZ6FX1I5NqVVbn2AV49ZBvr89206KSwSbGtu/4XTJ/ffG4XDv4aUwffs3Ust8Dl35iTtmsEIjzBKRxqXkhKs84ee81YGdPn1BLsVGlwUIJeTEqU6mCYHthRIVYwfUyVQaynRqSTROcAzzW3yoNLTJge3p7P6iyp7eyrC90M+/lWPZw7VQXpIKQmy0tiStZnvEZ9+yQtWE1Ic29x+LcmU2Mh0kyePa3cPeNvLu/zpl2oYHTCUPoEUedJHSUFUCugmmVyUmXzCgsuligJl3apgrHDgzqaEmXRTg3ysRGlT37yN0PVxClmVJ7mzUiI2KoD/1reKO0dVZrkBSpJOPyE6epr+0CeO3cYQGmCmXScIAmana0y1lJsmRLEpaGYNftsAzz54yS1xb4uSHhNrgF5e3rN2r5zNc4b8VgCXBcDzRE8GcOvmZKdSxFOFW+KVhgMVmtuxt6fd1KqVjuFzX2ux2AmglronohSMXUCikNWITDLTerZdboFJTJK5KZqZtuLvv3rAZ+8bsdQPCJVmmMjUnhSpeyOKZmw5mVhx7J29ZXI2J7fedOasqPS5TF+nGxpkx70MciFFqfs+G+KZSpOKHhcVcFey19l79sJwtyJ18kpaPJN1Ubpz8kpX4DV92nFAFLl/S585dZB2e3rXM8889vN7n11kqhWw2o0JlS3JkvT6X8e3XAfb7sNQLDnVkbxFUVCZwSvsXTlYaeKkAuzq7O9yh4sb7k4V3NnOBhlzqxJzr2HwbNxEMXJCK5e5PHJUsP9YDUOAkDpvzi2qB8vxgyi5GuRXebkWpWDy0iSCfHi8LNrNEg1Wc+XOkN1bRiztrWMT37F44mSKLrk4BXuWC72yOiFZWLk2ZXNb+ORGitw6LMc2yriLxqQbGuQJLVmQUQ5uI9JZKpkmL0s2m1/wBfHZ/MWkmVF+j7yfIMvBFNujhIlgFCr2HTjFzMZLfv7mF7/s8b17DxzVNT9EMNy8eXbwhsu2HGFpqcWZRfdlBY418xOyTmFY/mnExNsTenvyMZ8VQhXkVXkiSs6EKAWbBaAdg5OOAi774OV7uqW1KoO7BPJ0v3ovLQ3N2Fulr7WOUCriC99scWCxDn4hT7ySdVm5YFk7LmINK+XsOZGxK+9ulpXRhppLNoS8+ZYBDz3bAOMRJ06Le0ma3U2qUilnzkoklYLc2jXJE2vdRGBrBVamq4rM7iLde8nm45YT5YpK3XmxOTEVCZ/y85SlS+1tedtLGdzfhmwpSztr3UpS9y2DEO58+Bw7rkjesNobb14dJEe1542oNzwW+z3+4htdTp1u0EzLSyEFWxnbF8hMToK+zFwXtAezg0BVaxcyReRloJPAztlciVITbgnc6XzCYtsO1gJbFwOC8hFv2qQgj508URH1Rsg39yn++mtNhiMfGhotBZ6oSpPJz1/+zs91okxZptiJhE8K8ijWTLU0b3/ViC/dN+DBfT626TFMAnxBfqGp/O8XOri0luYgL2855YLP9AJTjs0T6fS4KbF2FtSbNLiURpT0tygFutUYqiC2FPA5HsQE0NeS5LdzUwpqQcLLX9Bnw+xpZqc7rPYSxlGIfnCPZm5actfDTb728CzbZyBogrJFerzyx2zpw60D6knwr5UnVJbOCnNPPM+liChALVVp9wYl0tqUAtwFyLOyWYvWxQhlnW7CpFUV6F7O1u6ulAswfT8kChO+dH+DZ483wPMQUqWgSueGlIJLUWby0jGpuAZl1s7qecoj72y2bZ/MPfEk0YSh5qqLYt740j5PHK0zjn0S6TE0Cj9h4rNkXjgTDO4e7cRnQWUXm8Eogcrm2EiBVSBtocfzFVW6Ldrzc2OKVUNOxiMTccmkZF0v03khK7GAXeHgKOX2THrtjTU27rI0Z8ckcYT+6F98Hk8rFpZ77JpVNGoWrQppMDnoRVT/woWBnbF3mdEnNTfrALwE6ILFix0ICmlSsgpzxs4AXkxOzSVKytyOsW3O1Dp/LJ57aXCpVUTghzx9THD7fQ0GQx+aHlJklYOU7MF1spil71k+UlktSuazVgfJTyR8SgVYYeTRaoW88dYxn717xBOHA9A+IyPxUy2uDKgks+vSz5CQywOSCeNXFcu9VhTSRTo2z1aVLMg31oFdmiLRJkzZTUnJyxTMXhwLW0wAmFjNs8NTrPxrYJa+KHvrBW6SWNAd+IzDDfQPPIvyTmFNjO6sLLlNo8KI2ZYsMoKyAPkaBso/jFgD8irAJ5enb8HisgT2subOQe70djmbqdLxzVlFoWvnSp/r8nzwCXCndy+bQpsW+GsVu7uO8LyI2Cbcdm+de56uQ02DdA3NXqmEt1IaW76XX6xzq8zUJitnJW9GTmw216QA+njk8cprB7z5ZQOeOVYjjj2sUAyFxkvIP5NIChYvPsL6TF4eYq9UxtyOzd1rgTQi1+G5358xerbapgyeD+0UYn32Lr0uACvW4qcE+qJpooojK2wapEtiIxgg0aMxUi6DNehWXSKlJFQJEsG6DsekpTOxXFSfFwHDZL1J9jNZBniprau8s0AF2BWpUk7Tl+5qAtyqdNfFJqgZoL0SqDPnxDkm7lGpCN+LePyo5BNfbQE+SA8hVN5FpNKNVMtZ17IjlB2x3B4tR+PlsuJy0VW5hDZxrXvOLVB5+t5azbteM+TO+0c8fMhNEoiMYpCItOArBV1i8+W/RJJQ+izWWsfiJaBnP1Up6I1M9/PJguJMe8uUzYV7zM+hKQ3sLGXDJ92UMiYmpXAZ/NkvrEei2XGPpUBE7vh5iUYpDdaip5puOtJYKzCy8iUrV1D+Ry8Q8ZZ/T6wD9BTURUS9zk4CImVpIdyByVcRUSm0qoA8bU0rNptyOzsUA/ALcFdYu/SYNdZmUkWpGM+LiZKYrz9Y56mDdfA8kC649IUtTY4tB1bVTZyq5F2Fli09yRsgSsmLSnVhIjEqdVQSzTj0uGb3iFfe7Fh8mDgWHwufkQGdiCLwSzK7MLXFktJFVuq+mrQulQSrLNIKlMVlP61AWIEVIK0opEopqCzYOz2vpnzh2wppTgbi5Wlm2f9VJEwZX9mnLgHfpuMkZCiRSmKx6Om2j5SSgYYwHOczmicwPrFsZMFLmdmr2ipjiCqAyQ927hPnIBETe8RM1J8I8r138t2Ls+bbSsNDsXWJUhPgLg3Fz90TlaB0CeCpRPF1xIEzgg9/qcU48tw2A9K1pWWtaaq8S7AoXciVCKqC7eJmq0Avy5Ty5gCV9qxci2uageRH3jjgtnua7DvlLr7EKAaJclWGSZr8QTgmTETmIldWEpsBvQRwaQstLlONLo3FSneOrBQO4KYUK2VMbjKDgNK5XS/uKu7ZCjO5J9B6mrzK4lXSMBaiCGIrcd6fQb/kZW/edOL4oV9++slH0pnTKcDXSVWK0uW1vqVT1keidHWWrMISsGUF5NWt7MqVeZNFVrJU+6Fy9i4BW2bBZRXc2Wy/Qm+nz6UptHcaXIY25tNfbfL4gbpr9xEaJVzmUqc12OXm4rJMoXLynuNW0eCFVWhTF8Ua44BdAbnEGE048rjxsiHf/Zo+v/tRn6HRYDSRkAyNixGkSckkKWQhE85K5qDkhUXWpuztVhVlwabet7UF+DNwS5uSka2uYplkqQL8AnqcMlaqJLkGZyXgTxzKvK5eEHLrrdf+8pVXXPJT+ty5k9PdbvdNnd6QeuAcAnmBjGVZopSfFoS1NkLOnJTseZEAKIE6B3y61JWBU6kDtxXtnQO9JElUSXurfKeH0kZUyk5IkqxSMMnB7emI/aclH/tKAzd/xbF33rmf/X1BZbywLH3v/F5idhcVsUZ/u4Krcm1IcbJsOi4hSeeCmESRqFSLJ5rve+2Az3y9wZ6THsgQKySjxEOT1otkxzpJz2iSJX4y5i6xYJoKtzivOvtsMr0IpQVpnWzJQCyt+xs23TZSmjRArazOVbCzBuAT75XwtAbMa6TfRCGgAEXIoN9/09Gjp6e1JkKLBJ0uP7L8L13otp7gL2km1gF3GdQVWVLWsbL6vMLiwpaCy9LznLFtzuJqAtxuIqtJH50dqJRBZX63ilEyRqUMnqiYz9/bZM+BQntLIZ33nXfQXIChmHwt1hzNakFmtQG54omXJlJpI1xtiixS+GGkuerSMW99WZ9DHwsIEwVCkwjNUAh0ktp3ZIFu5qiIMiyKEDjVS9aKvE0RnDTJ2Ty7C1uk+AUY6YBvMplS8sHLYC+zdxGPVaXIJODXY+0LHU8hIEqg000QMkLb9K9mBUpr/ov1aXxd9q4CvlwHMfkF1yYCKoFKBeAFa2evM9bOwJ4xdw50VWbyQnerLIiUJWkii6H5SiV4XsThM4o/+HSbkfTIJmgVXfPpClKugS5LknUTBmtveYVmniZ3dGkqKfuyBheV+pTEaOLEI0hifvYdff7q6w0OndagolSqeAyFQGXyJNXjebA5AfLMm7eAzi649D1pU4mCTVk788RNhc2NcBeUkQJhi9VjrZmQAv8CLL4G3GuI9EIH1f23JknJWkm0G1XmxpbpNE2bf+XJYHMdeZI9z5eTMntT+mLZc8ka1qs0N8gy2MtNvKUG5BzcppAossrguuJvZzq7rL9Ld+lY3NMh3dDwx59tc+p8AEqn1qBM5Ymt+N758/KJqrBUdfvAC52Tgr2zxoNyj2aWwpf5PW+GkIok1mybH/OTb+vxmx/26URu6pG1krFRzjZMss9hIREUtmEB8uL/3U9UehWm85uKR1k4PlLagsGtO082lfnOo84Y/AIB53qAXkeqrMHbBY5jhtcohnHo7rpRU4zSjU2FkJXNWNej78krLXtv8sOVAZ61KlU90QlwTwC7YG1bCjZtHlhmja9KFUGmlhalTcroJpcmTo6YklTJGDvOH7WK0EHEp24LeP8n24yN5+SJULk8yZuKJyyxiu7OY5ELLahVFs/OTmEVlkGfpezd4NMsu5mn8I3bCrymY376nX32H/P54OedFgdFIiQj43o3ZULO4EUBVnayypWjhV3pQF1IFmtTNhdFoZgjHVfqaiuJHydjsr+VAdpkJMekHhdMMve63vgFWLw8d300sgxGbhNdXQsstcBNW02sKEY2r3srpZ3XXH2i8qEqJz4V9hdsTZOlZbRSuGRLQWa6RXd5y0BVFDspZUpSJQNzicllUR2Y6+780c0aXF6Bv/pKg5VxBm4HcE867a1FVZ5UVp3MLlvnhJTxXdba+YlJf1Cp6pvcetFM1IlLiTIKY9yOG1N+wjteN+Az9zZY6imQERhFhNPjk9WFYuK8XojJXR6oSApl9SlZsGlTFs8BnfrkxrLOSp361tatJkaWB+jbdbG0Ng9z4RUxC87DyG2eOx4btLUJ1iYkxl3FUmRbilTPUvVKqoI5e1+WQS/WAfvEFxYUzFyVKKUREdJWtHexH+baoDIbTlOAO6kEmFmQme1zo0vs7TVibvtajQefqmNK2ts1NWTypFpvkrdmldi7YhFOBE/rEUaWbLElFi+X0FatQ5HvHq1s4YvHiYc2MS+5NuQtLx7wZ1/wQYUgJFYIxkajhHBbkJQ958ochJImL/ngKuuRyOzDrHZGlgrFpJvxUmFu6y54W2pJNBmJZWxts59NlNGuie+yxxLw1yGPDLZSZbGbQZ9dTFheTugPDPV6JhfE2j8w8Xy9ZWRdHVUCdX4RyKKVKXdOZAGYyVaoMrALFyV9rSw6HTEmZeqYSJvq6pIkyRwTWZIo0rkngRdx6Ljkw7e1ONvz3X7X0g16V4Jix4aJeGGN7i67RuudgIlbJdFTYvY1Wy1mu9VVuu7d/jnu0W1/sqmZ8KNv6XPvUwGHzkkQEaAwSEZCljaRcqDKQJ3bmOULrszneTYzPQ9lNhfueQbmTLZkK7P7WTb7PZMpRXa1nPzL8ySVysKy9TxZVrvWtZMCWnXJxjnJhjmFziYEJemaubaG9wKPZVBPsHbl36kw+MRwnzzgLFW+5fXVJeZWGeAnQJ7PyJ58nuTaO0/oZOOAVYySCTq1BX0/YpwY/vDjbe55tO5626R22ltK17Ujivkr+WfNVpby91uHycs4nySbagazcC2KPd7L5bPlMlrXbmYyRyUxxFKjYs0rXxjyU+/q8mt/6DOOpWtENZI4dVWkEaXPlmWbS5rUupY0Sp/PvRal2CDtrk+TQC7AFPkFYFO2ds5KqenBTmKhmtnMQLymKUKslcbrmRxCWMjKqYVy5kAt3eTU92Sle33SvpkE9ySDrxcBV7qq13VPytJkHfYu7T8v15Mn0ubd3m7bbFOSKKWxv5nuTmdc58GljPH8mK8+7PGZexqMQw/qOtfeOXvnge3azOWk/VWWdILswK9P3+XCprwVqwJusCqrMqzWiidGIo1Mt08vdlKrN2Le8cohd9wz5M6HlbMNkSAkkdAMM/LJGbAoyALHwnkpb2mVcRZhBur0c0o3rF6I4rVNpUkG9Oz8WlFUNso0WClPM1uDqW+DWCuPKdmQuD01R2MYjgW6Hsh0V1/p4qoyG1/oD6zzIaogt5X3ylFzWZ5kjL0mqEyr0FQF6GmQmc3FEyXtnU9CLYCt1QTQVQFunYLb9yJW+5bb7m2w70zNSRPhSmJFpr0FpQlSdg24ZengFkxSXvKf++a8cJFbctV7aa/RNcOBivS9lAppEqTRRGPN5Zsj3vLyPg/u8emEafrVOD0eosj2gZCk3via4SCkjO2SO/kFKV10ptKWtoLNM6mSJnxEWkOeA71Utivy/FElDiswVpoGUCHK6rHMqyRLv5OtFklkGIwMtbFBN+uWcAS1IA0Q7IWZugzm6nt2XbBXV4JS9o9spagmS/LETgnYBbgzH7wILmU+mD0DuZ0Ad7ozQekxA7enYwwJ//0Ldd7/6RZWaOd7V9ibQntXrMG1QK+uctUl9ULsXankY1J/Z0y+tpUt287DGINJJEY6X1xJQ5R4SGX46bcPOHja4/2f0URxAXKDYCwkymRZ6xTc5da2HNSpzsAtAjn88xpsCqALB2SZ/WcilSq2GDFBGgPYXKq6g2Ns8bo6lZY8v1IG84WZ3X3CcZgwGCfURgY9GFnGoc2DuepVsg5DTxbArJElpRWgdNUWbGcr2rvyWPK4M2YvZuKln3HCMcnalcrMvd6e9Srde8Zp8AjPjzh4VvKZrzfp9z2oq7Xsndd8l2ICUSR4Kt974nkWHH0rDreFBijJgUyLi4p7YtOmgxzoMgO6xEinxaXURFFCqxnz9lcN+NI36hw8kyYV3IBqEiEYurXGfUaTgtsWYLc5qFO3hDT5ky84mZOSpe4de6uUXQt5UgW6LUu6kkTJmbsijauAL4C8PtFml6uxbquXmifQM1M+JJrAL5bGqhayldW2/AcoBw05uNcBNbbaq1hhQDthDdp8HJgqsXg5sSNFeTB7SX+XdLcsyRIpU8ckZXKtY8aR4Y4HmnzlsbRaUHoO4BPsnRV5KSGqwTDZ56+mnzOEi2+F7CqhV4FeuhuTZg8zJyXdisTpblPIFCNJhEQlEiMU0VjzuhtCXveSISe+6DE2ToenlVDEaEYCV3FIEcxlNohNa6ZVftYzRyWtFRfkwEeIguytO6dWpIFnBejp35JljEyCXZSIs+Sm5PgTFRk8yfTWWsLIbdiQWIXesnX7ahSNv6S1/w/C0KQJi3XE/3oaPAN75UqcCDJl2WkoGHsya1mAvsTYslhZir3pSwPZS7sPTOptZxMmpecxUrpOHenH3P2wz3s/NEVideGcSBd5e4K8Ja1g7NLny+OH9dn7gj7tesjOGJBJmWIrcsWQTb1Ki7FE4ajkmlw6b1wYTRwbfD/hF3+sy76TmrsfkhhfpJB1XyAyimEGmuwDpfEASkw0BoiSF56uttnnTVfbTIeL9AIwWVNwzugpsLNAtIQJKCTKpFNSbWcrrMJ8pZwIWGs1n1ar/aXt23esqk2bt/WPnVg4NA75KUjcwMqs13FCe5Z3WZhMsZer/ip13JmXnU9GKgWLqtDURWVg2QIsJXJKAWVeUFV2TeSENKnYhFlCx/VanlwWvPfDU9z7WNNtyiP9tCTWQ0tBXUIgSTe5qjYXr72nDdD5kJzqMCKVtntJNdEwXTp2xWtRuujtBY9tJt+KlrCS1Cv/zMKGuZhAWx580md1WFpG0zAzmyJeVBymgLKVSOLbuFpLF0J2uZSkV1GOMLlyidLPq1l065aJys8nm0PyqQC4C0kpwaYNDZJx50ePHdm3T2e/nAV+OpcB+YW+5qtNGu7rSZpJ3V2WJmKCwTNbqTxMvczgch3Nne0woCakSdkWdIFlWgqbPk/8hA9/doq//loTW1MglEOn0AgpK/2WRX/jc3TM5ytddsDWPedrPHA78boMiOzk2glnpdzhY9L5gTZlbmtNUaMiJNIoEqGRw4R3vHrIs4c93vcBTRjElUDJGo8xaeNJll9PSpnKHLCOWS1pdjNl94zwbSZb0vNvRRZQptJFuC9YGBml+S3JhCFhCxlSxtfaw1tkZU1WDpLPXHefXm+cEwgkSSIwscHT6ZQi+dzXa1meTGYuy5qqAvDSaLEy60yO4K2APWN4kQK8pL0roJZJCehlcCfIUu3JnQ8FfOiLTUZJOgVfZNZgmrUUtqK9103Nl4G+5ntPBuXPzX42De4y73lNRhO7poTWylJmU5acFaFcYZZMi7OkITGawDP82Jv73P+Ez52PObsw88aRAmM1Y+NKTPMikknrMEVqLqWEQGFTUJdAnjU9ZJo7+3l6TWUSRqaj02Q5qVPGThnQpd+ZOHi5w+I6/C1xAsurEYORG/CvpxoxQgjiOCaOUrBRfKdSecJagH8L9q7Oir6Ac5IBvGwPlsEtip291Bodbqoe+CR7y6QIMHXEYAy/8SdTHD4VYHWxW3JFe2cSqQLsCUCzDpjzYyLWP0DrgNxOHNtqRrNcfFXW42trU4xMKw5lmcUVIjEIoZGh4ZJtEf/mxzvc/68CeqP0y2S0hyBBM7LpZ5SlGtjswpOASUFtyR0WlQaUVpJ2Jbn/VKQ1KZk2N4Kc0UX2OyXGv2D5LFDprl/n+OVHN10lrEgYhRHWWvTc3CxSKsajHv3uAJm67sVmP1UNVQX5Wv8bsZa5y8xXlSnlxM56EsWUfPDSNnYpmztQZ05JyffOdudNPW+tI+IEfu9TLR7bW3Oet8yYu3BOPFGVJWrNZy+BfYK50+iJ8tDN9fh6DQ1NOCdFAwRFMZN1xUxrqg2FY/A86DTSgTyRGJHek1SqGMONV0b83Pd0+C8fnyZMUhaHPCpMUIxNpsXTopISyHOJIkqVKiJN+pgSm0sQpmDujDStLWphMoBn0ljYoiYmC0LTP1nhjLKcs6R/t2TdG2OYnm0yM912W5S/4KY34ftNzp58in1P3YbneW6/mCTdCVcU86Nt6ZKpArv04UgZm7L2Xs9BqQK6APykRKnuz1iwd1Lo8nJSp3JPA8tawl0PBHzwUy06Q895gKnnjVAIIVLnpMhalguGVOVzr9Xf+feuhGWiCNomAT3B2mvwXgF6afOvCmunU2EzSVJOAglnIyZSIa1x9Sqxol0z/MQ7BzzyTMAd31TQiMkLRwCkIDaSEVlMUYDc4kpjyW1L53mnFQbOQckkjKEiTXJZkvrrVRcF7IQGr2YoId9loawo0gs+21fIJI4QwjDiu19yE7fcfD2dTg/texLP19QCaDfHaG2JY0EYK8JIQYz7UvmXKRfLl5nMrpUmFwB22RIsR/0qB3axF2Pme1fBnlT9bumsQJnvq+4CSyljpI7Ze1TzB59oc3DJdyOwREl7pxWDXjrrJHc21gsqocrclIAtShd9iXXW3LKTNFGLUrB4kVjJnQfWS+NPDAnKCrGsyTeVFZlUEdZJlciyezbmZ7+3x9GzmgOnBFaXBZYA6ZGkIGcC5Cm9psAus3rmi4tUaxeEl7N4SbpkW5tkdSsilS3VQLN4zCcB2CqDJwbiBKLYEsYQGxiPwKDQnofUHjrwXbdLuzlmx6YVhGzQ7fus9gLH4FKRB8220NmUGboEcgQT7L12i4vyNhfrbSqa7dqlykCXRTLH7dk4mcwpgK5UgpQxfhBztiP4jQ+0+cxXG1hPFen452BvVboA1zonZTlGxWnKz7uYAPkEjVdYewLs2Xtra1LKOjwDdDkAzTp/HINLkT1Pg09hiBODJ52r0hlLfuG3FedWBQRluhVYdM7kZZA7GZL2C0jnx1sJKpMnGdDTpJhNcyBlXZ5Jl7KVma+GJZDn6iAH+YQTVUqEjSNYGUhWRoLeULIyFMRGEMYC6aa01s5KFd8uax7DZAHtDdDKFNKEInisuhul+pFKUDjRdaNsVVPnP8/qR6rvuUxlUVtSDiTlpB2YZipl6pq4567WJMTw+fvq3PVQI601UTmwq+xd7BpcnjdYXkbXlMWWtHj5ZEwydw7+SS0yIVfWzClMvYQ8cCu1kWUOSlmPJyZL/JRS+1ZirErfc8/jWCOs5PUvHvHWlw3wRQJxDCa7R2BjrLXEFkYGxkYQGYiMILG4bd0NxNaxZpwP7S9vR5hK3LSnNLHZKIzS7yTZ+zbd0pBcdlR2ZC49lruhsnMTGcHAxhjdYeu2GlZxe71WPyuUQv3Gb/4eF117/erhM3r1zkfUD37kSyuEYY2612AceSlzizUyJN9NoDTCodJPqSxF9V1Rw13pzCklcyZfV61AF2RKuZa5yx3xOgW31jGJNHz2njr//o+mOHI2SJsYioSOqzkRBBJq0g2y1+kYOC3LSafycKHMPiwGk+ZTbgVIKcm3VRHVIf1uUpesJm6yY7YmMVYKaMs16IKK3MsL1RB5IDc5l1vmcqFU12Ess+2Eqy6NOHFeceC4xmS0mmtPd7VaIVz3ex5fTCxfE1eyTZ+WojX376xdtNY2fJReX2jJK7O7lOBpQeBLbr4u5Adfs8A7X7eD6y9t/vPuypMP3HLzG9wePceOe9QCzcFDDQ4fmmPOq6GNx+yUSLfYs5VNWdfdSUsUB7jslIhUrhQVg1XdXcgTM5GmT18rU5EoRYBZYu40oMwsQc9LOLIo+eCnm+w7FEBL5W5JntiRMpcmeZ8lE7Xpk8xdBo7MDnbm0VYDyslalCLNXABh7UkXuGH0JXYvuSjZQKbJ9L0UYIzbdTjzxkXG7GlCw5WTKoR13ng0tlx5ScyPvb3HQ0/5HF2QxRc2mR53MiSWglEWD2QBZxowWlE8VyVHJbMEcw2e/QwnS8oXYb7lTfn9coVh5rbgRk1kpKIl+J5ge1vzgp1trtxqmN/coj2tMIkHpJtQvfmVV1Kv19k6E9NMjjLd1mmQadKZ0WVGmQT3OgmdMrDLujvPXJZswdLzsg0opEUJUwB9HXAXgWaCEhl7Jyz3BL/7522+/li9qBLMgV1IE18yMQa5iClUGcyVOKMaTK6xCteqlG95K3fXV9jMluVLWrlnHKBMOhvQihL4S5lOKaxrDTM2BbfT40IodxkJQzIwvPrGMf/k3V3+w59IVoYUa79N0SQF1ijijLmzgDNzV0T2O+65KoO+VJ1qAZGk+jwFupwMLCnsw/yYl4COKJV0UzC4pyXnlhSj0Rw3z1zBhva1jMcugpAAF+/cwotuvOoO4u57t22ZotWQBN5kcqZs31EUPMmJktY196xGpACpXKO7ba6vC7fEpOy9vubOMpTl50rFjITlDz/d5AOfatGL0kIqUdXdQrgxw5lzUimqojjYk9nLClOXg8nSaawU5n8bSJ/srs+BnP1swjmoJnwm9tfJ3isNDDJW5u1t2QBPkzYsx4mmpeGn3tnjp9/Ro25i57dlj7akyU1Vk4dGEBlBbCEyuFnm1mnzJHttSq9LWjzX6HYdrW0nthXPf8dO/F7hLI0jw2rPsDqocfBY570bNl91R6O1BUirIf/zf/4t2u1WNB6PLxPEf9/TEY2aoB5YfK+8z02hk/OtnfMCoGzPcgo2VmXwUwW0JE/eFGCv6u4isEz7LEXB3DJP8mRVgjHCMzx10Oc/fmiK4+eDIhWf6W6V9loKQU2mDC4z3V1o78wuLPowy0VRE8VSefHUxAxzkU1eTbW3LLZeWaO3ZXnblnIhm8ilUBHgF/58ZRcHqNT2VLPK6aqJqFywMr1qar5h40zCvU97nFuQjnknPc/0ijai6P+Z3P0j02LVeFrkkrqi0vLE4cTvl1azSY2ef6AsXBCFnw7QbNSRgj//5v3fuO/Vr31TIVEA3vL33owf1Hjy8fs5euBRGjVF4Jtcg+tS4DcpQ9bUn8hCurj31tPghb9dXR1MxffOHBVZAXeRhs90t/YSnjzs8XO/OcNTBwKsJwtZkjO4LNmCNh/kM7lTw3rW4HoypZLYEZReFdT+bckVW31a9cUn7ULHXq7eo1ROm+3CINyFZKx0tpu1GCuRGQNaiTDOG0+wzrMOLddfGvH7v7DKT/1HwVMH0+BEZh9GFMuJ0cQpomz2GXBZf4vFGndxk6bws6UwkzBSFImgzEIUeSrfrvHAc42epI3M0uZtfoW7Z4iiiBtuuJjXvOrlDIcj4F9WAb5xfho/qLNhxme5mdCsUQSYeZp8HXbIiq2yD8g6wWcpmBTlx8rzEqhLujsPLsVacGcJHe0Zelby3z7d5PE9AYmaSOak9SYg0WKimaHsSpRqZrIammpwOTEWYkI/UroAvh2ZMlk6Wka4LfdpVt4vWYiTNePWjTM2Jl05hJtMa4QlEe4fMEKm5yjV48aSYNDCcuNVY/7x2/v84n/x6MUCPMiLSFI9DgKMIs6DRhcXeGnDhBWWbPqR+4sWZdyxs6W6lSzxU2ht8t7NrAOfMtjTY2us+0jG2nReo9uRGxNj8GhNzSDUID+uOcC1p9Gef3CqXTs0vyHYLRnge+kcwAyI6RlYzyGoMvoEuEvBpRRmXZCvZe4iJS+zYDMDt0hQIkaJBO0lDAx88DNNPnFXk3EGZllmb6ehZEpMnrC5c7Jmn50ya08ytiiAXU3miPw4rEX2c3P4+k4KKTSqOtxAPsq4PBhI2gLwDtwZYzs3RRiJlCb1wq0L3Kx0ASgpmycWX1i+93UD9hzTfPDTLfoR7oC5rTWLRwAUiRGEJZC7VL1DoREut1Aex5yDPmPz9PtVZJYtuoBEmQEmSCQjJhXDSBim2008v3Eo8IOD43G0FuCzc9s4uvdzt2+Yq30k7rf/zaCziNYaKfNFs1KwbtP6AHd+19F75eD0OZwTIQrdLUoSpWwL5kBPwZ1LEx3TC+GDtzX5jx9oc37Fc3NAcvYuyxPnVeczTpjs0Cm7QVVHRUJVnpRfT7B25WfiucGdobpcaJW/V3kpSvUplNi6GDEhTMrYVCWLFUXA6dwTVx4thCrsOCMRaOLEsnku5pd/vAMWPvT5Fr0oPWBGTIDcpiCXOZNTArkCMOkcQ1Gk8DPtnLF55plLJtg6PZrZEbSmFHiXblJCEhu2btuAF7Q+8qnb7rn9x3/oLWsBDlCrSZQOvjDVit4WiOQGiNyykI8ocDUO+bjfNSzurlEpLEx43UKYYkRECuQ10iT9vSq4S563KEkTlSBrlr/+QoP3/HGbs8se+JPMXTB4lrHM2btUczLpea/vfYsKeCcdFJGdjm9LdF8Q65VMXVmqABNavDQk09h0qlQJ6KllKGzhiQuRsrYgtw9zsFvrZhmGli0zCb/8E12WupKP3NaCGm7pyJncknfb4zz4MJUevinAmwE5C9Ad8LNZhhmEi+9WliuT3GBJ3RWbOjCZmwIoGdAL9eN+rf6FcVz9DysA37zrLRx+5Gfu9ZR4uD3TuyExMXHiESeKOFaEsXZiP0krDEsn14H8QvUmhvU0tygHlpksEQWwZcnnduA2RXdOYDh4UvNntzU5s5B2xa8BtkvoiJS5vRTQOi0YmuzUKUBuCzBn36/yovBly/r721Ql+Ql7zp+XCq8yPK3p3cwfRe6P58DOdLgRGARSZPIkA3kmUSSuQ0u572MscWjZsiHh3X9vwP1P+Bw65UOQfrF15QpYJFFeIlv44BmoSX9GyubGpNI1XZ2KSkMqGrx8YccWokQwTgTDWDAygig2tHzB2V7v4d/+8Bfvvfcv/8OFAQ7w5Sd2Yazk+u3nuOGyRbQN6A1r9Af10oGUJQfhueVJITvKsqTE3MIiJmWJMIg14C6VwfqGQ6c1//b3p/nqIzWolcAtJ+WJ87yzMRC6ZMNNOidlx6RSi1IeXDQpU8gG/RSSrSpTqlJmPZckuyqyVbEM4OJ1aUSDtSX97S4AkQaY6xVlCZxHLYxMk0QSYTKHSyFMQVACjQCSUcxrXzTi13+uw6/8/hSHz/iOISiBO5Mt+ecULiFEIavKbW+KYvyETLV6VnGYyZFym1q5ejCbmR4mgk4k6I4M8ThEJkNe8wrN//HDm4hiy1v+sornNQC/9gXvQisdfugvlvnA57u0app3v37AZdtwu41NUFRx8tbR3rnsmAwqTQnYZQa/ELgzRo9RnuHoec2v/sEUn7ijQSi0KyJhkrnV2sAyC0zKGnvieTkrOQnOHMBlp2RCe1/wVv7hV+R7NwAALQFJREFUBH1ngBes1ZhlS6xwVKp14mSgL2U2xQSL29TDFsYxdjZ7PJcq1mKMyh0WjKSmDe/6rgGJgV/5vSmOnU+dlQrIs7QiZIOWIytIBCSAn7K5SZldpS5LftGm7hXpPyERrhuf6nHPjl9kYTBMuHrnAv/wDYs0vDEvvfl6XnDTO0NrYuDfPDfAd2zZzK6t7X/1l1+84erb7uq9emEQ8fjhPv/+H3bZPK0JY52fhKL5eCKYTGWJLPndznbLZEgK7jLAK+BOcmswz1SmafhjCx6/+F+n+NSdDcJsX0GxXmCZShNKgWUmSVjL3LJyoZYqBSfBLorQZ408qZyR/2e3SlCZyQ5r15ckqTed/Txj8PUm05a1eGYfZiAXZZBnHo5QDry4IkNPJfzAG4ZoBb/0X6c5dt7PKDjdg4QJyeJWTZNmOHMfvGxUpLUqShTBaVnTyzQTVCYVnU1niCTXXtzjN368x4su1/i1Os35a76GvPJfCbm85riqyTf+y2+9h/ndLwunm42XnTh15sZpL5KeraNki82zPnEsszVlIutmWZOyz4LJvJQ2BX3mq+cyZT23pFw9GCN1wpllxS/9X9N84vYGoVJ5ZrLcnVMUVblhooF0jcReGljq1B7Md0orlf1mFYPVkc7ZvdjesJJ5FNUtyLPfy7Yizze3rbye/LepDEZa9++XRkuQxzoTK5AsLtA1q085XkjNgGLVmZhrU7pmLRaN5arLYjbNGe5/0qM3LF/9pf8gvxzdP1ZcNsWFbytsUH2Wx3QTcjEbY+IrS9O3vO5GyRXb23T7LUbRfOI3X3DHqLv3k42pF64B+BoGd39AMBr0fu6Fuxs3Ly70bpyb0rR8zZnFiKlmROAn+MI6zZiztDu4md13IVmSAbnQ4QVzZ9nKImuZyhJliLXgjz/b4hNfbhAqWQV35XGt513OWMp17pVMbEE6axI8Zf97PRDlppYQzy1X1mHvSjZzTVLHVtyT4mdFfXgmbyrZzuxnGYOXfHGnxZ1NSKbJU6mSpP+wcKNtEQloEt71xgH7jmje+8E2cZkeJwJO9547FwZJRDGhy6vos+wSSldVKxAy/VxZPj89xp50I2zaDej1Gjy6TzM/Y9i8ceOT7fnxz7Va9XWPrVzvzZ//0TeyZSpOXnzDpXbH5hr/d3vfHS1ZVaf77X1CpVt1c6JzoCOZtpsWuoVBMGDAEQGXCmvGp84Ds+IzjGMYA6hjQEcezmJE0DfDAhwGEHQQJQ00OUjqRCfpfLv73rq30jl77/fHDmefU6du39vd0ICz16pVp06s8J1ffb/vF3Zvl4tsViewE/PlRimyFkVJFi6oJKkI2OngdghrCW64BHfcn8N1d+RRp83h9xj3hqImFNa8OlYyVcz6CSMLprWNtgMQtrWJXkeA1js0BcEmAm5rx5hjiYiSNKkmyjtLUhdTKC50La0ufiCGd8e61OpkLBHN/SNUO2a57KiiCYoMFzjvjApOX14F0RULIlRJWQwQyQcHhEz/ZQJocKgkLVgPYgomZDKWNauF/b1rS06BWp1jxxDHtt0eMsU5YtNWn3VPfWfq9+uixTjj9FNQr9euCyp/nlcb21UoZBk8NxHKJohREVvqi0mARveOtO64o8ksTm7ldrscxAVuvS+Lz/24Hc9tyKiCYRvYzQEdSjS4o7bHRu9G9LcebweRSFyylZKY80kiICcUlSSo9wvuRBgz2UYCtgYO27FMaOJanhNxS28/a+sdRUApiHJMudLEOKFKD5c3P+dSOpRcW1ryo2YH+P4nR3CJA9x2X16+Tz1TcpolNx9PKiwCAAOBD6Rac8n/tSVXZXnQ/1RyBrVKjYOQAMVSz9jMI0+8LpfNtvyOaasNAwNHiJ1bV1++YMHsoVIhRFueIZsJ4bksapUW486iiU/bzqOtb5s8bqvNg2PllugmPsQFbr43h8//pITnNipw01aRSmmCKU3WV0ZOZRS9bA3gmEpi0ZO4NJgOYJJYGFfrFuOsTyZfWeuM+pC4ISLd3MobT1hxbuiLbc1pwqpTRKm20nIz4YAzucwbBAtnBLjsoyN424qKrFkz1juQqbbCeuhSOCFNNFOWuyGk2hIqfTsUOuUWpiyO8Si9NuRygtdaIDBa4xgeDTFtxuyhRx975vKBgcGWX3VLCw4A02bMQ6M2gureBwE2CtcFfJcpkKuWxFaON21SRqLck3ibiMhaSyfUoiaEgToccIGb78vhi/9cwjMv2OBu9YgCOj6RRiUuC9pOW/M/USuwxzCbsNwpyYPWARPn4U3SoKWQmNeIsuhg1BWSsOaRJi6DPklrri03V3O6K+lQrdeWGyoTUb521PSATtRmucFw1KwA37p4BEIAv7kvr75w9Yblm4gecCLFRU2DFXApnjAruxNKSgSklEi4Ts3VeVDyszQCDrejDUfOnYuuztK43+24AC+UjqhTMfx3U6f0Xr97x96C6xA1a3AEcCcF2HHHkpt8E0Js8CtwE2Y5l5KqwCW47f4svvDjEp7dkIlC8GQc7q2sddJ6R6F4MS7HtsPvSUuepi5oBh7XaUl8nwlIhroldxM9QSJHxdbDYdMPm6MTK4BELNDLqfukTChM8Idbzic4BaEywmhYCZXJW6aMRjhRD5U6cPSsAJd9bARcALffn4skw/E/sQF5qHRwHfHkkBFmzglcqIQtrfNYeTcQHPMHpoyFnP7dzGkD9QMGuCN2846eWQ+77ukjo/vWFSgJ4LncgDtyEu0kKm6sdgzksfWRw2loC2EgDodwCH67KotLflTCcxt8qfOlWm5NUSQHSZagmUlbYfFtNFvveKldXEozIDY3QPOkSTHAJ8m43phYl2Ah1gZlnUXcqscwbltl6zwyJyWi7bqOk1hA11SFAFbdpkzCMrksKuMQSis3aYzKijJivfe6wOKZAb778REIQXDHA1kwjAdyrZfowFxU1cMAeCDwBExJnkssikLlsssFcr6P884+dWTh/JkPb9kxzA8Y4H5+AA51dwsRnNMzeOxd5V33eRmfmNKxqFLEDstHljoN1JFF188K3FSC+w+PZPDp75ewerMvLTcZz3LTGDWxgzr2BFdp9ZW29U5tpGkDuQn4CQSn0ZlJDhvErTbaCosBtQYwsW8AEd8GKzEr5mgqy65oi74BAAqi+hxCAZYoIFJIyU9nE5JGiEUzAvzgU8P4aAjc9UgrkNvg1qs4QBwIThAQTVmk1XZUfgpVBRQuJWhwAYeHOOPUE4JGEJ7T213a3V7Kj/u9jvuH4joexkZeQL4058X27oUvFEs5FPOjaMvVkPEb8NzAmhbbdhaV42nqKRMSoN19Sltul+COhzL42HfbsWaTD1M31gRu1wDbjlamUZMY0NFMU2INipqAbllvDVwL5MmbYTzvc8JSYRLTxnGM820tDyKWnxIpDQKWc2k5nzwBcOOEJmo4tdMZTSVOY89COFJGVM6naBDMmx7gJ58dxulLa3AYk2ZXcOl8GsdTO6Pa8bTkRC719zoHqhyocGCMEZQZwXBIMFQDdo4KZNvaseyEBS8ct2jmi0+v3oSM74373e6XMRHioLL7jk2UND6Ua5+PgA8jmy0jn63Cc0PTljiudzMTbicxVUVaakKYdCxV4pRwCe58OINP/lM71mzxIVIdSg1uxwK4BKVrgTsOZDtbUKSXnaU4mra83SQDjmutRSyML7e3hrewF1ICPfY+EUfXYW+tlqSF+G3nM96R1lZWYjO48TjwhQG1VmEiVSUCuVonKESdYN60AD/89DBOW1oDZRxoWODmLAF4/dpalgI+uFZNBBBwgUa9DhqWkSX7sHLpXIzW2Ieu/o8HNrmOg/0Nd387FEozUauVkcm0bVv9GL33hlufWTFvcCve8foGfJcgZA5kjzlNUyL+TUgzJSFWtNLJCGwecvDAExl89coi1mzyIfwEDaFJcKvXULyb2GmwluVWvJzQdCA3pcW2kgoR7WDnoqSpLLZ1n+wwmBbRieyopXFEY8qIXm/RFCHrIoUTWX3pXOp/Ba2LywMIiQNfcm7dK5wa/1LyciJ/D6V3E+6Aq9uLEoAEHAtmBLj808P4ys84Hnw8g81DLuCrDyk9V/P7yQ+j+A+h0OlWMZPCGEqZMbx92RCWLW7H8tfPuHfJ8adsq1QrKOQL+/1e92vBASCbLeL62x5ZN1QevDzEG7HqqU7sHcmYw5N6t10QrPO6TaECicC9ZquHr/+0hI9/tx2rN6eAW0UmY8BWWp+d4+0RAReRpSbE0rzN+gi4rdQTJPexgW+b2ARnIckNIr5bcjkGbDtcl8azWz0nE6tg3QBAIspJTGQwjaLoya3kw6YmNo3RkU5iopzy2GZLPn96gB9fMowvXzyCI6cEQN2y3vYjppkz1bJC7Qvds46i2Obj2NkFvOuv3oDFs7ouL+/673UTATcwAQuuxxnLpqFYLD7cV6jcVN2z8WyPPo56Q9IT0qSOCGO541acyYhhFli31cXXryjixjvyqHGiHMok5447k9KakyhLECpxyuLbOnEqltttJRNpwMemFY+wmuAoFkAtTm6D1siBaWgmyRXjDIHk/WHdBHF1RST2FTErH+WiEL0/UYEfogURaamJVl4oiVr0qYb6EBwEsqGnNDLStnAOKQho7Vy/Wa1lEICGHP2dDO9/awUZX+Br/1zC+q0AMtYdSIQyYFbiDdFOqL6mA+pRjI5lsWloAXbXTrip6Bzz8Fh1eKKwnZgFB4DOngHUaiObjjnudZ+YNa3tFscpQIhIQUm2cUjWTxLKJPB9YP2LHr56RQk33plHDXQ/4NaSkvzrIoCpjPdiMzGocDwkoFu2XaOI05Cm5yhTENbxNk5tyx/D82TpSapkQhSoLatsYECsZftwi1PDttSJB09a74QSY3JTbOtOTc4K5ypvBfq1djZp3JJzClYHMoLjnNOr+MpFI5g9JZAhzFjOSphiyTUnj4BfasuhgfZbjjt+ySd27tyxacoRPYce4ADQ1j6I+r67Nnf0LX0609YPSquyu5RJbbVBrfpzEyaDOVSAZgk27vLwlSuKuOGOPGrCkWrJeOCO8XAJIg9aNWmeidgh8XC8tt7GcqNZObGBHAOu5WDa6kqa1h031pNj4ckEqyQfsddFKgqJgjpAzLpHzqa1DXFHMy13nCcdUKtLrUkDsOmKSdJKgJw70gkNCXJC4Nw3VvHVi0Ywoy+QGVdWIlbkhCYeirLwehXzZvbhrDcuefq63zy0ed7cqZP6bidMUfTwstOQaZt52a33rp49p2PHebP6dsLzolpJQqSlBuEw3Uwp0BAUjz3p44ob8rj+93k0TBvUiYNbJ1E5CrgOdL5wSug9BnK0BLRebgI1ScFqKuCbv6MDqXmwI5bC0I+ImJu8K5IEtKIvJIpkanlFz1upbxBBoii6oTLm5LqNgzBaOCgHhWyqrwsmJE+J6Ir+XgBE5lKtpxRgjMN3BM57YxXgwE9vKODx533UucSImVSTcMvhlBSFUopTT8ziCxd2XDdr/nGXjY5smfT3OikLDgDZ4lz84Opbhh/ZPO9vc5nB+0KWhecG8L0GHC8A9UJQj8FxhMIuQVVQXH1rHmd/tgPXGXBPznJrcCcnadWzBcjcE0sWRCQNwgI8kCIXGtA2z+Zlr5+McZ40xhMHJOXB2I5pEqJtzWE7kwpz9j4x65180MRrGJlQpNGV/VpyCs4IPCZBfvP39uLCsyooUC0LMoCFIGEIGgagYR00rIOwAG0ZF3mn577TT+v623Z+zfCxC6dPGuCTtuAA8Om/eRe2bl5VEeLsxoMPXYFGfS8cx5elSVwgnxU4bkGAgV6G0TrBL27O4+//bxv2lV2rZObgwO2SKA3W0U6jBdqmKf8UNmItsG2QJ5UUa1sSgMTaMel42jicCMgN/RCJE4mkxZbW3I5amtpMoimJFcFE3CklqoxMT2BMdMSTEIvWqHUqKGQ7nPIuocpy80lbcs45XCrQ287w7YvLcFyBa27KY6xG0N/HceyCAIUsl5ci8ibq7snjwnPe2rj3YVJZufTEA4HqgQEcAIQ/D4zzh+5e95blP/vl7bnRWiA/EWPIeyE+/O4xnHtWFaue9PCNnxWxr+xYwvTkwJ2cYiSeZxLPL4lUkmYAU5WxlqQtdjJV8pj4+ngyFbF+1Vazq0V0Jb5FAzWB6Yiq2IqKpYMrnMNiFoamwAY6iaKcunKHQIPdsuIcslmP0GnfxHTQ4qCgnIMrugJ1U1HQdJDr2sw0kBMAYOChQFeR4R8/MgqfAg8+6eE9Z9XwkXeNIe8J8JCqz5MB2o6uuh0zHop085cR4FMGujBcrn3pkxe+WTz1/MZP/XHVuixzAAQ1VGoCf1rrgtyexb/fnsWeYZWk3RLcdhGDFvqh9OyoxlU/24XBeu80xzItaNPKMlPSIlkqaaZbPR/kEIllO8oZWWzrtYjfDDFebt0EIPZ6axoUwMxXydUkl6anD7Qll8dAKSzyRlA3gOH3yuEFjTm1BvCACQxRAek4hgLdJYbPfXAM/3Z7FsccKa13MOahHmQRBICTO76Wy73nh2HY9veen8OBjv3HOscZl377G2JgzvJ72/JZp1xjy4fKgQMeYvniMr710RH81YkNPPikj4071KRP1MG4WjeNQE5IPFJprDcVTbkmsVnR0gp19X5WNytT2GuW9TzxzUW+0c2j2vXSaFkfZyw4AQgl8e2EmBsoVkCRoEfJsrmYzInkeut8Zlty2epXnvavhrijbRqnWuujbdGNLp+IZSSs6zad0/JdzHYBTgkeXu3hH64o4pGnfSycwdDf6aFSLYD6MxrMWXxZdXT7P5Z6jg8PBqMHbMH1+PNIrVHs6rr02PlHNAYLY18/ZvZO+p7TRnHighDE5zjh2AD3P51F1XzDNP1BddQyHdxJzh21hbMDOyk530iPXJrvnKQ8W3wc1rOtEKZRGwMkkVw5zrD3tXm4sdwqZB/5lmamM1sdMaZaLQutomj1PNWKy4MdaA4u57zXkiKFJS8CcDiVjIO25uSapkS0RSkiAqrFnHQA6iHw6FM+Nmz2sXG7h4/9qIB3LidYcVQvX7Rg5tf7ewvfr4zubRwsPg8a4D/+/Pm47fbfVTF70U2ikf9ab+ZFLJqZQVjn8LNV5LJctjrgKs+gFefWc6fvB9yxCZqS4LasclzTFulWM2mtbEAqq2Xz8mifFA9ygk7lRIZIviAmthd3SDWPtyOWwuLg2ukEsWhN1LWWkGiuHz3/D+dKHrQUGVncLmQLuAMCufWhhAAVHAIC1SoBuAPhZfDYugLGygTzZp8iBuvTb9r0ZLW67OQzDvq7PGiAA8DiBdNRZdPWtvvuRW5w0hW16u9oPksxNuJg6w4XgWjRN9B2KFU42N0PuJuyA2PcO56qk+pwIvFI+TuNxXKsheTxsI7X+7bC/0RGArvN23UpGiJrDGWjDZhjnDuhqOhzQDuf0aSuRi8nUe648RcFJLihboZJgJwkHE/CHXAm4NIQR/SFyLcLVJgDmnWxYsVS3t575EUL5s1d+6c1Ow4FNCevg6eNGbMWYu7g+sbAtJOuqjbyn6my6XC8AM9tdLHq0SwaXPfsTmQE2hlkKeC2K+JtgDtNqa+iyWrbSVKtihgi6hHp37aljlv4lGQr/bIlmkm03dpHCIw/kjp38hhrg51aG3mj+jokdq5kdBMiKkROhvi51R4kmnMzJflKRLnkkU6eiIiCmPRaJhww7sIlDpaf2MCimQFQDXHi7C70lNzPvOX0JVfd+eTuxjHHLDgU0Dw0FhwA3MKxqJT/zHqmn7ue1DrKTnVT8al1Feys5ADXTziYNv+WKErKgemcW4LbWGgSWWzbIWsCOxDn1mi21rFtKYC1e32TlHVpY6IUHBpwLXi49TKmg8ceCdlQKFqh1xER8XbbimvqHmUyiiiSqmREqGY8FBQc3LzNVpxc/ptQcAg14wQFCAchStMQ0unuzYVYNKOKTbsG8YF3LS9f8I7l6zdu2cbeuOzIQwXLQwdwAHC9PDw6fIvInHlxXQQ//O0jv+/aOUKAjLqMQZxtvVUCFaLChSS47cLh5qKFRD8TNAO+iX7EHhGC4o5jXBmAsG4aaxCzt3YuD46Ji1YrU8CfXGc7nXG6oooktNMKYVlxa+YIK9FLn8/4iVCOJ1WEWki3qomu6LpOzkEohWQtUksnOhedCDDuos138L63duDo1719z1+/ecUn124bu2VW/4FLgqmYPJQn87NdAIDRsaFrc51vc1ec0n3Zxl139z61YQ8azLLYCVkicioluN0mWpLSz4SkVMonHvona0qi0otJYFuv7YU4bi3aEdt5nOX9DB18Ma+RtNSRkmKrJTEQEyIBRCwVx6gmej1RHFs7nqooWV8P0Xml/ZdDU2tAmOIJQmB6flPNdKnsBUEgZ3cWykwIQaEngCWqVrdRJ9g7NgtLjn/zrpPaT/0/EI1rpy7sP5RwlG/pkJ8RQFuhG8PD+PmFbz/lC9/6yKxd/aWq/Ma1oxnTxSJtOsa5KawpBpHqZLakHQomqdtj1IU0YTKNpiQjm003AhInGe+1PRLmOuLZJHUfOzNQTyFj7xunH7q9m517EnFve19Y50ViX5uTJxsEsVgRRJSfYl/bvDdO5Nyc3IXgBHvKHA9uWr6rvf8tX8h5+Hl7qesQo1COlwTgANDVVYLfuPGqExf5nzt67qw9BZcg78omL7IXl8z5JYgSpVyqaApVTiaNl6BFWreI0Y6YU2k7mWimJQZCSYtvYUtza5uymCqdFCt9oKRkf75m0/62cwkLkHpbbLulnMScy+ZCZaE+hZ1TrtzzJsczSrYiZkobFgM7taKbAFTrENeRreAaDR+jlSyc7MI9L+xu/9yXf/JfV/nZtkOOPz0OKpK5v/HN7/0HSP97n2ovdm7xPXpmbd+ejO8IgFQQNkKAOCDUgU+ALAUyagYGMykriVockxjImx3EtH7fsfbOepuJVloRRZrYhyQnYIU1KStpOp5a0Uy7nXIymmlHMsed0Q3NN585RmIv8R0Q618pukZMy1fLdiQSie8R9n5mWBe1gCufiUn6MtSNCiUayAasnhfC9+qoNgQqtQLKYz4ybbPLubZ5F79uXvirs886f7L3+aTGIeXgaaMqCA8zxeuOWzAYLuzHL2qVtdnTlm7Hr+70cNsjfSCOGwO1mWaERlU5TSbSdrZsfm2sd7x5epqzaZ+WpJ3PHuM4jrFzac4uSOz6ExlGLUlxJBPGuWk/E7gxYdRYUNOy3EJZd8m/YwEjqH8uZf1jPoFJboFFPXQqAFSOCrcccQFO5aQHnhPijkcJ/t/v23HygjYcv2hhra2n/X/1dDs3lkeDcZv2HIrxkgP88i+ci1/+8t8ZR8eNZJrDOrLkl8fN2p7dtreGO5+UQYoMFfAdBXIncjLt0rGmZCI1kvzbHsba2ctpzqhlyZLHpzqTSLtQOn+fKMRFAsy2A0mMw5hyE9jngA32yMGUywm5UJ3XOKjqDC1ObWgOoKvvtbMtQIU0RgIEYAAhDiiRUmE9AO56rIA7H+7EkVPn10aDKe+HN/2m+5/YzU49/exDgLDxx0vGwe3x/vefj9lTQrZp93t/vXh+5wX/vXZ+5erbSmiwDPKeQJYK+ArkviPgOYg9XBrXwveHtbS/97j1TnEuDUgj/t18oeTU3ckrH9rRdEZhbSAW6BJBoLjDaHHwRKV9FIRJCSYlL62O51wGfkJGEDKKIHQQBPI5DClC5shl5qDecEHh471nVPCJ9/dWSHbwgrPeccav735w28sCbuBlsOB6nHLau7D2T1eK2UdXrv/41+a5hfbOKzr37mzPUY6Mq8Eswe06qgxN/ZYcAGMEIddJQnGtNuaw63mD0MLxTHNE0yxwyr9E6xUtxkT2E633MwwiSUeUbJj8dwO0NRZNx2uSIZQ5jxVEtHr7xBILSdR6OWQUjNFo/ilK4ahKe2EdC3CIsQLmTp87PHtOz//um/X967/1E4EvfewDBwaiAxiH3uzsZ3zgkquweM4gRiv1Cypjle8/9Ogz3bt370POp/AU0H03mqwVkF3AGiFQDwkCJicWsOY3Mk1+tLSo53WJp71GDlQyhyW+TIwzGjmeOpWWWOcixvnUjial0X6EAI6VNmvSbqneFl3bbnVBTesXEXvf8jMKqzWM3m7PbBdti8UJrEl5TcBMn4PqKdP1PEpCTt9uT86rbg5tsRuBfDDVadahAo7D4btcttZ2GVwaIJvvQGfvoqFMJvfpRpi9pj2/BdmBz76seHvZLLge1373gwCAHbv2XeP7rnvjrT2X/urGP/Tu2VOGSyk8V8B3Ac8lcNUEAyGT1qYeACGTzdEBq8YyYQVbZg1a4E7mo6Td6kZtkJdJJ/qIHz8Ryp4cdpKVfa1kVmFaBVCr8xHLV4nmmyTQCbR2VqGmLvYZTXdgJfPpK4ehgyCkqNYdhExaINfh8F2irLkA5QzwutA5eMau7ikrP895eE1ntvMgkXNg42UHuB79vR3YVx771/e8YwXxXfLtu+6+rffZdVW41EXWJ8h4xIBcWnCOfVWKGpP2xKUq6unIOdu1M2HLXnHrnDKRlLW/OXgSo1ltabG8v2FHMhM3qx3lTM8wjL8PQ0fUF0JMCF4ezRXIZXu2hB6ushWhOgbrWe5cR/Z39wWB5wL7RjPYW/bAmKSTvkfAfKLmaqphx0gJS5e+aVfvtBVfgBD/6h0mcAOHEeAA0FEsoFyuXPXONy8Lj5pT+8F3rny4szqyF7kMQc6nyGYoMr6DjEcwf8YYOrYN4+ZVJbiui4JLkHNl0MeNfr+YIhLTtVMsehKE4zXKbCUx6uXJYjtJve3UEv1IKgCk1cEtLxLN9EBA1PmECqELU2mv88lVpF4+VM93z2Xw3BC+HyDrNfCbVVk8v6GAvE/gewRZH8hnCRgDABel9n60d67Y2z1w8iWc0V94mUObWzLZcVgBDgDFYh5CVK6dt/DkPSccPTKn4IXfWfXQw17Gd1Bqc1EsUHSXBBbO4njbqbsh6BhuvG8AHD4cNf8lR5Qv0lwQQZq4NoAUFST66VuOVhIKSWCOtDgsfrEmSx1HvMoVQTNVmdw/jTyDKT4mapYHSkyetvRlZNN5fUUCycVdh8P3QhSyVdyyiuE713WiwxdYNK2BjpKHYkG2d2MhMH32kqCji39u0Zxl6wN4v8lnspN5oy/JOOwABwBC8vz559fc8uELzvKffmZNJZNxf7pu7bOkmAtpV0mgtzNAPhtiRp+DC8/Yi1/fW0Kde2hw2TlJngMm8GCcS0piztz+JMaW4EkCdrKu+QT3Hw+7dqBHjLNv8r1p7do+PwGi2SDUMVwQmVGogzgEIEROFOZ5AVy3imvvKGH9jiIW9RPsHg4hIMCYi7Z8ns9fvFgMTpn70b7BI68uD+9qTJvx0uSWTHa8IgAOAAsWzMNTf3qu0d/Xf+1YpXFXMRe+hzV2foPVt6JUCJHPNgAI5DwGwgMwzhAIR/7NIqIlkZoSPWLyoCWLNRURjMfFW6A6FjHF5MBv8+dWAZyWoE9xelv5EnbOipxYSgKYE5mrYacQuKYTLTGWXU5qEKDWkBX15TpBucJB0UB/Xx96+gb/YerU6dd39fRuGRvd3pg2Y/4hxcbBjFcMwAHgmKMXAkD13rtuXkMHjr20zVnjl/eSi3J0bbGQK2cymTEZa+PCNKjRyoCRBg2wSTQ1N9F9sGFC1LE5cCwUEcicZSUXoxXEJJgTQaE0JWZ/gE+hKslobaSqKAcx9n7j14lXxgtT1aM1bEBa7xhdQ6QwMU7g8kjC0ZacUAGHhCBBFXuqWQx2ZrBg/nQ2fUr/N5ctmXvp40+/yM479/WHDzwtxisK4HqsOPUdePzBmxih+W+KSvbbu+tz/nPVA+LMo2cOo5hvoJRj2BMqnqg0XZNWS6Wy4pqAUZQUpX9kxkUUGLECRro2lui/bgWkGEYtK2lwliox7o8PRdeNUY4UBUXYO6fcSAbcMT8jrrlwFYVkVhkbpbIRvlCtkinlJkNQl5xByPOVawS1KsMbjh/Cacv6MGv6yvrJS9/0T9Ondn3l59fciL+54N2HFTOtxisS4ABw/LKzAaCxfssQ+oFHdwQvZJ7d+i/0vNO2L3/T0n3uv/2xE04+GeQBPAVuz5VAdxxiLBUXAGNCWTI5VYZWeIlQM+Tp/o9JEFlgt5mAxJIN5snNUw/AaNzj7pKShBVdUQNbWIEf/ZkFGJM6N2MEASemExtV/3RaA5dtsCmYI8AYVWAnyPghbriDotaYHp5/Mn/g4g+/lzvOUQ9QOvKlnbtH0dfz0qW7Hux4xQJcjznTugHgi6J8FZBfWRzesfdnJyxef+7tDwvqCgaPwlhr3wFcV4Lbd6m04I6sLgHkj92ADBzp2XM1cKjio7q1QlNUxbxMscykJUOZ8NCBGbsaByQRkhdoUltM5ZKtHqmoJIEWSigCRhAwgnqgZ1KT/3quA9UTnIMQWVPpOByMq7ySAGCigHzHAv6G05ff8Oy+vg9/4nuV8hVfPPTVNy/FeMUDXA9S/CB2bH+m3NWR+diSpdvXnbnxmaOC8sjZTz69FnnPge84MtTvAr5H4bs6UCStuO4BAnDU6gyNQCBgOpdCBkYIJVGPEaQEVlKCRDbeW6sgzWub9rWCObGsQNsxbhHwsQtBKJXynmOBPCBAvUFRb1BUanJuSkqUYXABXwAQ1NwgruMgZA1w1oCTW4jAyd608vXLn166fPaPKCrluTMPTcX7yzFeNQAHgP6BxQCwe+26zV++8ksLZ/z2gTWYOb3v7DXPPA1WG4FDHfiui4xH4HtUAtyl8Fy57FCgLc+wba/A0Kjk7C5VCV4uTOFBDEBGXtQVhnp9c7QopoOTiKy0UkGMsSbNEUmzm/VnEkulTaDc0BQq4DoCrsPUpL0S6CHzsGYTRT2QN7zrEmkEmKQuXMgiYYCDMY5crh29U09AqWvhTU7++E96bGRTqXPa4YbApMerCuB6HDl3OlZvHtq0dMniS4qF7LVnnDT3E6tXr175xFPPI6iPIpvJwPccZcEpMj5BLgsU8xy9HQ1sG9mHhzYW0Z2jaPMA4UVJSJwSU+akNRogktHS6jxBtKKimwORNBZjRgzMtuW2crQBC9jCBnaibZt1XpN4Rjl8jyPrh8hlGmgrjOGpjR4eX9uLnhJFIe8gl3HAPSpze5hMgYUIUegqoP+IeZgxc8497R3ej0rdM58CH9tEnFcfuIFXKcABYP70bgBYJ4RYB+BpB+HgUYvmX7nhhXVzN7zwnEPAQYi0VhkfKOU5ejoCzBis4H1n7sF/PupgqFqCS5hUXbiAm8pLbB1dNwiyKsttsCc5u7WPHjGKjQjMNs+2VRwdWWzVscp+v4QIOfMFjSKQxUINxBnGNb/vR2VYgEAGaGTGJEHIBKo1gXzOw4KFR7N58+esq9XCj0yf8/ptAlizv94vr/TxqgW4HuoHWLNz19AaxtibOtvzU1acfOINTzx+f+mFDVsLI+UxtOUoCjmG9kKAfLYOzw9BRB3VUCDgkWyYxLedQhvVb05AJYnRk8SsEYncbrNpPyF400qNK+WfCDOJVPz7gOHirsPgewEYAuwYcSHqBCMVjozHUcgKuJQjk8mjo7N/7NRTV4y4lJ3TPzjlRYc6m17twNbjVQ9wPfp6uyEE3zTQ37ulUR9bzIU4ad5C9i8vrF8fju1b39VZ2FYsFhrIeHWE9QBQqfzcQllMAtSqhBU4IiqnO3IuUwJAMU06OqkdGLJBabj1eDwcOlgjoibz6vxcdZKK9pVnNfMjqShPyEJU6gKjNYK2HEVXd2952ZL5e2bPmuMGjHxo6rQZqzrai8NCCC6b+7w2xmvnkwAghIIQwnfvKe/t6h74XaFQnHf5lbfMefNZ7/7mUccc80xHZ/cT2Vyp5mYK4PBUVFAFjKyIJ7EAqQsZHIfApXK5taWVZjh5kxiwQ1c9JtJUx/lMdukZF0RWNjH5LLjFy01JGTH9AYXSwIPARXchg+6uUm1gYOCJE5cue+b888/95rOP3janWCrNmzpl8HcsqOwlhLymwA0cnHT7qhh7d28EIR4Z2XUn8lk4mWzhpzv2Dc/7zOUjpzy3bpfjhhX05EL4tAHPc+B5FL4jCy48l8D3teRIjdTIuVBTYSv6QqOKHpngRUybCWqBG4CaWDX6+mksvSCq6LGnIZfHybx4oSQ+zwUynkDG5/A9IQtFPA6HMAAh2otAX1cVbW0U1B9gNz2y8L5a2LemXB67yEODve+vT0GjEYr5c2cc7p/oJR2veYAnx/adw2jLZzpf+PPub3336t/769dtZCfMzJ6Q9XDihs07MTY2Cs8lyGddZDyKbMZBLucg6zughKARcNQbDEwB1e6ZokHuOhTUkRq83RmAcQlwpvJ7dSmbzpmRgSlbDZGyHwCEjKBWB4JQbs9mgFxGIOsz+B6HS0O4DkehkAPx+5DP8kdn9G99rKNrmlPoe3fD8Qa+KHht7+EsPjgc4y8O4Mlx9933gBKysjzWOHPbrpFzqtWx+ZWxKlavWQeHMnDWQD5L0N3uoLudYs8IsGV7CMYFXB1IMvkuksp4LoXnEDguUT1eJNUIQqDR4AhCneKrqI9DTJDKdSJa41IB1wVcV6YVbNoO7BwK0Jbj6Gp30N3uoNjmo5CjOGLqHPiZLPK57OoGL93ARfa/AHHPkqUnH+6v+LCO14yTeaDjDW9YCQD37Bracw+Ae8MgnLNj5xDfun07nzrYM6u/r/vz+/Zsx9R+F7XKOjy7eQfW/DmHnpKLjjYPlDjwXIog4GCcI5d1JHe3Er70o94QKI8y1AMOh1K4jtbOKRxBQImA7wowTtAIAceX5NujDfR2j2JotIJ9lQFMmTYHvR0Ec2dPRWVsz6VhffeGuQuW01yhizqOux7A79qKf1mWutX4i7fgrca27Tvh+5mObdu2rVy/7nlM63eCLXuCT+3Yw88IQx/tOeC2ux5D0angyOkOKB3Fmk0+PIeivcBBiIDnEhSyAiEj6G5nCHkNf3xUgIUuukoUIRPIZ124rnRmp/Rl0dEh8PzmAFRkMHcqMGsaQffASejtqiMUNewY9u947jn/BwPd8BYvXoienoF7GkFjX6l94vO3/yWNv3gL3moMDvQBwD4ANwPAHx7cgmI3eb6rj/V3Fgl3SIhb7l0NQgN0lAhyGYFn1jWClSev/GopW37b8Gg1oMTDYE+AbUMe+jsFhDOGF6sUrvDR1+Fg+x6GgW4HAEfAPO/I6R23bt/24FfLNXhZx0E2Awz0UgzMWIRCAcjkQzoddMfrThAbCDl0TeJfy+N/LPghHKtWPQiA9Dtsa/vufWOCIINp/XVs3J5BX6cAnApWPevAEz56Oyg27wgxtc+BEAz1IEOOnj9lmAux44Qlyw73R3nNjP8PasShVf81OV0AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMjE6Mzg6MDArMDA6MDD1LR5EAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDIxOjM4OjAwKzAwOjAwhHCm+AAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 64411741
{'hecke_orbit_code': 90071992580970152, 'n': 1, 'trace_an': 5}
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id: 64411742
{'hecke_orbit_code': 90071992580970152, 'n': 2, 'trace_an': 0}
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id: 64411743
{'hecke_orbit_code': 90071992580970152, 'n': 3, 'trace_an': 1}
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id: 64411744
{'hecke_orbit_code': 90071992580970152, 'n': 4, 'trace_an': 0}
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id: 64411745
{'hecke_orbit_code': 90071992580970152, 'n': 5, 'trace_an': 0}
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id: 64411746
{'hecke_orbit_code': 90071992580970152, 'n': 6, 'trace_an': 0}
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id: 64411747
{'hecke_orbit_code': 90071992580970152, 'n': 7, 'trace_an': -7}
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id: 64411748
{'hecke_orbit_code': 90071992580970152, 'n': 8, 'trace_an': 0}
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id: 64411749
{'hecke_orbit_code': 90071992580970152, 'n': 9, 'trace_an': 12}
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id: 64411750
{'hecke_orbit_code': 90071992580970152, 'n': 10, 'trace_an': 0}
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id: 64411751
{'hecke_orbit_code': 90071992580970152, 'n': 11, 'trace_an': -10}
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id: 64411752
{'hecke_orbit_code': 90071992580970152, 'n': 12, 'trace_an': 0}
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id: 64411753
{'hecke_orbit_code': 90071992580970152, 'n': 13, 'trace_an': -3}
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id: 64411754
{'hecke_orbit_code': 90071992580970152, 'n': 14, 'trace_an': 0}
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id: 64411755
{'hecke_orbit_code': 90071992580970152, 'n': 15, 'trace_an': 0}
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id: 64411756
{'hecke_orbit_code': 90071992580970152, 'n': 16, 'trace_an': 0}
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id: 64411757
{'hecke_orbit_code': 90071992580970152, 'n': 17, 'trace_an': -3}
-
id: 64411758
{'hecke_orbit_code': 90071992580970152, 'n': 18, 'trace_an': 0}
-
id: 64411759
{'hecke_orbit_code': 90071992580970152, 'n': 19, 'trace_an': 2}
-
id: 64411760
{'hecke_orbit_code': 90071992580970152, 'n': 20, 'trace_an': 0}
-
id: 64411761
{'hecke_orbit_code': 90071992580970152, 'n': 21, 'trace_an': 4}
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id: 64411762
{'hecke_orbit_code': 90071992580970152, 'n': 22, 'trace_an': 0}
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id: 64411763
{'hecke_orbit_code': 90071992580970152, 'n': 23, 'trace_an': -13}
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id: 64411764
{'hecke_orbit_code': 90071992580970152, 'n': 24, 'trace_an': 0}
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id: 64411765
{'hecke_orbit_code': 90071992580970152, 'n': 25, 'trace_an': 0}
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