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{'Nk2': 24080, 'analytic_conductor': 48.06994201681079, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [5, 1], [7, -1], [43, -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': [6020, 1, [3011, 4817, 4301, 1121], [1, 1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 12, 'field_disc': 867847737097260385864128, 'field_disc_factorization': [[2, 6], [3, 5], [457, 1], [122107147996368277, 1]], 'field_poly': [76, 457, -929, -1812, 1645, 1557, -878, -497, 212, 66, -24, -3, 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, [76, 457, -929, -1812, 1645, 1557, -878, -497, 212, 66, -24, -3, 1]], [11, [500352, -92880, -1086096, 278572, 350924, -70947, -46166, 6414, 2946, -237, -89, 3, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31525197425153924, 'hecke_ring_generator_nbound': 13, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '6020.2.a.h', 'level': 6020, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 43], 'level_radical': 3010, 'minimal_twist': '6020.2.a.h', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{3}-q^{5}+q^{7}+(2+\\beta _{1}+\\beta _{2}+\\cdots)q^{9}+\\cdots', 'related_objects': [], 'relative_dim': 12, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '6020.2.a', 'trace_display': [0, 3, -12, 12], 'trace_hash': 141574743484217282, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.147', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.956', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.266', 'prec': 17}, {'__RealLiteral__': 0, 'data': '297.275', 'prec': 24}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14517.233', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.002', 'prec': 17}, 'traces': [12, 0, 3, 0, -12, 0, 12, 0, 21, 0, -3, 0, 8, 0, -3, 0, -3, 0, 8, 0, 3, 0, 7, 0, 12, 0, 27, 0, -3, 0, 31, 0, -5, 0, -12, 0, 14, 0, -3, 0, 3, 0, 12, 0, -21, 0, 5, 0, 12, 0, -3, 0, 16, 0, 3, 0, -34, 0, 12, 0, 23, 0, 21, 0, -8, 0, 21, 0, 20, 0, -20, 0, 10, 0, 3, 0, -3, 0, -16, 0, 52, 0, 19, 0, 3, 0, 2, 0, 15, 0, 8, 0, 1, 0, -8, 0, 24, 0, -5, 0, 32, 0, 29, 0, -3, 0, -6, 0, 55, 0, 23, 0, -19, 0, -7, 0, 45, 0, -3, 0, 55, 0, 51, 0, -12, 0, -10, 0, 3, 0, -3, 0, 8, 0, -27, 0, 2, 0, 59, 0, 24, 0, -40, 0, 3, 0, 3, 0, 21, 0, -7, 0, 26, 0, -31, 0, 48, 0, 51, 0, 7, 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mf_hecke_nf • Show schema
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-10, 6, 4, 4, 1, 7, 0, -6, 3, -9], [4, -10, -2, 9, 1, 2, 1, -1, -2, 4, 4, -6], [10, 0, 4, -8, -6, 0, 1, -3, -4, -5, -3, -8], [-5, 0, -3, -8, -4, -12, 12, -3, -3, 2, -3, -4], [34, 12, 4, 0, 0, 5, -1, 4, 0, 0, -1, 3], [-1, 0, -5, 1, 1, 8, -2, 5, -3, -2, -2, -3], [-5, -1, -1, 2, 3, -17, 4, -1, -8, 11, -2, -2], [6, -8, -12, 2, -8, -2, 2, 8, -4, -1, 0, -13], [-4, 8, -1, 3, -4, -3, 1, -3, -5, 0, -1, -6], [-22, -2, 1, 11, -3, 2, -11, 2, 3, -3, 6, 5], [10, 8, 1, 16, -1, 7, -13, 7, -1, 5, 7, -3], [10, 8, 1, -3, 8, 3, 4, -2, -1, 8, 3, 8], [-8, 4, 4, 4, 1, -1, -1, 4, -6, 4, -3, 0], [18, -4, -2, -10, -3, -4, 2, 0, -8, 1, -2, -8], [10, -4, -6, 4, 7, 16, -2, -2, 6, 0, -5, 4], [16, 2, 6, 4, -8, 9, -10, 7, -4, -7, -4, -7], [-8, 6, -1, -1, -6, -9, 8, 0, -3, 0, 0, 3]], 'char_orbit_index': 1, 'field_poly': [76, 457, -929, -1812, 1645, 1557, -878, -497, 212, 66, -24, -3, 1], 'hecke_orbit_code': 31525197425153924, 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 2578211, 5156422, 5156422, 5156422, 5156422, 5156422, 5156422, 5156422, 5156422], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [5, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 8, 0, 0, 2, 1, 1, -1, 1, 0, 0, 1], [40, 11, 11, 1, 1, 0, -2, -1, 3, 2, 1, 1], [30, 75, 3, -1, 26, 15, 12, -17, 18, 1, 0, 17], [374, 120, 118, 12, 17, 3, -28, -22, 51, 34, 15, 17], [375, 761, 59, -18, 296, 190, 122, -223, 243, 29, 0, 216], [3791, 1345, 1272, 115, 233, 103, -322, -338, 683, 444, 178, 232], [4537, 8062, 887, -250, 3240, 2310, 1185, -2683, 2988, 517, 2, 2495], [40066, 15383, 13781, 999, 2947, 2108, -3543, -4582, 8479, 5373, 1940, 2933], [54673, 87457, 12119, -3252, 34946, 27715, 11287, -31222, 35390, 7721, 35, 27742]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-5, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1427891, 75628288, -27139160, -208229678, 102747306, 109729402, -52004719, -18051968, 9040238, 569600, -481513, 33061], [7298934, -116557858, -44443251, 209636146, 11932951, -116440090, -1841294, 25930708, 258931, -2437857, -14624, 81229], [1492320, 21800225, -25358163, -85846893, 2239757, 67518612, 9380980, -19115141, -2508394, 2274685, 155839, -95353], [-36735176, 82284675, 145739305, -194417869, -120883707, 107366762, 41479690, -25749985, -6114618, 2908123, 301821, -121675], [-17498044, -51145903, 198951577, 174264351, -351337371, -99623092, 149923588, 10956267, -23803900, 1327623, 1207445, -157737], [-3920694, 3122587, 110294434, 116712927, -114015604, -140501734, 22661196, 42710317, -872107, -4846120, -34793, 186382], [-23262838, 705958, 142392171, -87525420, -184965197, 105467274, 84759424, -38348796, -14565847, 5572449, 775558, -269509], [43467746, 34434102, -140399031, -106536434, 49144999, 123788924, 21146954, -43053494, -7797885, 5969339, 528174, -279017], [-3245206, 33510950, 57162503, -76299684, -142543719, 98873448, 80084310, -38750340, -14826643, 5866649, 813826, -289549]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '6020.2.a.h', 'level': 6020, 'maxp': 2999, 'weight': 2}
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{'AL_dims': [[[[2, -1], [5, -1], [7, -1], [43, -1]], 7, 1], [[[2, -1], [5, 1], [7, 1], [43, 1]], 13, 1], [[[2, -1], [5, -1], [7, -1], [43, 1]], 13, 2], [[[2, -1], [5, 1], [7, -1], [43, -1]], 13, 2], [[[2, -1], [5, -1], [7, 1], [43, -1]], 13, 1], [[[2, -1], [5, 1], [7, 1], [43, -1]], 7, 1], [[[2, -1], [5, -1], [7, 1], [43, 1]], 9, 1], [[[2, -1], [5, 1], [7, -1], [43, 1]], 9, 2]], 'ALdims': [0, 0, 0, 0, 0, 0, 0, 0, 13, 7, 9, 13, 9, 13, 13, 7], 'Nk2': 24080, 'analytic_conductor': 48.06994201681079, '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': [6020, 1, [3011, 4817, 4301, 1121], [1, 1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 1045, 'dim': 84, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 11], 'hecke_orbit_code': 33560452, 'hecke_orbit_dims': [1, 1, 1, 7, 7, 8, 9, 12, 12, 13, 13], 'label': '6020.2.a', 'level': 6020, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 5, 7, 43], 'level_radical': 3010, 'mf_dim': 1068, 'mf_new_dim': 84, 'num_forms': 11, 'plus_dim': 32, 'prim_orbit_index': 1, 'relative_dim': 84, 'sturm_bound': 2112, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [84, 0, 0, 0, 0, 0, 0, 0, 88, 0, 8, 0, 4, 0, 4, 0, 12, 0, 8, 0, 4, 0, 12, 0, 84, 0, 24, 0, 36, 0, 4, 0, 24, 0, -4, 0, 8, 0, 20, 0, 4, 0, -4, 0, 0, 0, 24, 0, 84, 0, 12, 0, -4, 0, 0, 0, -24, 0, -16, 0, -32, 0, 16, 0, 4, 0, -4, 0, -8, 0, -8, 0, -8, 0, 0, 0, 0, 0, -12, 0, 116, 0, -4, 0, 12, 0, -16, 0, -40, 0, 12, 0, -16, 0, 0, 0, 36, 0, 52, 0, 20, 0, -44, 0, 0, 0, 0, 0, 56, 0, -40, 0, 64, 0, 0, 0, 36, 0, 12, 0, 100, 0, 40, 0, 0, 0, -12, 0, 0, 0, 24, 0, 8, 0, 4, 0, 40, 0, 28, 0, 68, 0, -44, 0, 0, 0, 0, 0, 24, 0, 12, 0, 52, 0, -8, 0, 96, 0, 24, 0, 24, 0, 96, 0, -20, 0, 20, 0, 108, 0, -16, 0, 56, 0, 0, 0, 104, 0, -48, 0, 32, 0, 72, 0, 0, 0, 76, 0, 4, 0, -12, 0, 100, 0, -48, 0, -136, 0, 40, 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'weight_parity': 1}
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mf_twists_nf • Show schema
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{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 1, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': True, 'source_label': '6020.2.a.h', 'source_level': 6020, 'target_char_orbit': 1, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '6020.2.a.h', 'target_level': 6020, 'twist_class_label': '6020.2.a.h', 'twist_class_level': 6020, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4065850
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31525197425153924, 'p': 2}
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id: 4065851
{'charpoly_factorization': [[[76, 457, -929, -1812, 1645, 1557, -878, -497, 212, 66, -24, -3, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 3}
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id: 4065852
{'charpoly_factorization': [[[1, 1], 12]], 'hecke_orbit_code': 31525197425153924, 'p': 5}
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id: 4065853
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 31525197425153924, 'p': 7}
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id: 4065854
{'charpoly_factorization': [[[500352, -92880, -1086096, 278572, 350924, -70947, -46166, 6414, 2946, -237, -89, 3, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 11}
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id: 4065855
{'charpoly_factorization': [[[-16916, -115007, -208921, -88902, 67336, 45026, -8912, -6627, 784, 396, -45, -8, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 13}
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id: 4065856
{'charpoly_factorization': [[[-70284, 270423, -271116, -97846, 245915, -34403, -52772, 6311, 4071, -258, -112, 3, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 17}
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id: 4065857
{'charpoly_factorization': [[[-746240, 3999808, -4178080, -3822488, 1429236, 719055, -142942, -42415, 6401, 993, -132, -8, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 19}
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id: 4065858
{'charpoly_factorization': [[[511608, -2579337, 3333237, -32386, -1755914, 704456, 26953, -49926, 3923, 1097, -130, -7, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 23}
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id: 4065859
{'charpoly_factorization': [[[32032992, 136380432, -71092344, -24113836, 15112374, 311401, -835752, 21727, 20556, -551, -238, 3, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 29}
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id: 4065860
{'charpoly_factorization': [[[-38237618, 57152843, 2711239, -47832793, 33210309, -9362360, 811437, 157584, -40903, 2124, 233, -31, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 31}
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id: 4065861
{'charpoly_factorization': [[[3771848, -207582043, 197910550, -8813779, -30087817, 5856746, 914624, -298391, 4517, 3783, -206, -14, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 37}
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id: 4065862
{'charpoly_factorization': [[[102094368, -257725872, 232683600, -79354792, -2696542, 7121637, -836464, -167429, 28646, 1306, -301, -3, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 41}
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id: 4065863
{'charpoly_factorization': [[[-1, 1], 12]], 'hecke_orbit_code': 31525197425153924, 'p': 43}
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id: 4065864
{'charpoly_factorization': [[[-234455040, -643148208, -271164672, 65018056, 39350536, -1631251, -1858766, -17023, 36654, 799, -314, -5, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 47}
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id: 4065865
{'charpoly_factorization': [[[-6724442016, 952698672, 1651074120, -308949660, -113505054, 27800187, 1383423, -675971, 15635, 5759, -285, -16, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 53}
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id: 4065866
{'charpoly_factorization': [[[-1007490, 12117579, 21723069, -19827146, -3232182, 2927038, 3496, -131587, 6678, 2192, -159, -12, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 59}
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id: 4065867
{'charpoly_factorization': [[[-1140278990, 300046501, 254158241, -66352514, -20842386, 5490147, 744647, -209851, -9445, 3660, -36, -23, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 61}
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id: 4065868
{'charpoly_factorization': [[[9082972, 69400093, -111437490, 51386092, -343114, -6453800, 1860877, -127948, -23480, 3971, -50, -21, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 67}
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id: 4065869
{'charpoly_factorization': [[[1191385434, 2133660213, -2238172002, 355058909, 118069384, -25731728, -2537260, 593859, 32061, -5765, -267, 20, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 71}
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id: 4065870
{'charpoly_factorization': [[[-2690720, 13257744, -7883576, -16590972, 9483658, 6377991, -1518286, -237952, 37342, 2773, -332, -10, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 73}
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id: 4065871
{'charpoly_factorization': [[[-265066624, 109237072, 398394800, 126691252, -19606372, -10522363, 63822, 307745, 10873, -3769, -200, 16, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 79}
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id: 4065872
{'charpoly_factorization': [[[-113951808, -854741808, 1075024128, 53301868, -282275776, 59071697, 2368920, -1302114, 34258, 8829, -397, -19, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 83}
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id: 4065873
{'charpoly_factorization': [[[5953830, -2376639, -15681504, -3961226, 5897624, 2064600, -543817, -191626, 16946, 3347, -232, -15, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 89}
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id: 4065874
{'charpoly_factorization': [[[-554895008, -3125741989, -4901621529, -1490994640, 99252623, 68524398, -782072, -1222577, 23100, 9166, -290, -24, 1], 1]], 'hecke_orbit_code': 31525197425153924, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 8, 'label': '6020.2.a.h', 'level': 6020, 'portrait': 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U/gCYTRzE1qZidSltsh7b5gkPis9ASbJjRLLc3JC4qKH7BpGrbNRWycGbBhZsimmSHbNhp2bFJcvt2nquocO9nka08HPHow4ckTManq8J0vafHmFxmqaoaDJyY5dtbjzHzK+QzchxcNN165wC+8Y4XtsxOcnZ9kfqXCUstnuSVZ6aS0uyndIRw+scTh063LHz84/9Ijp8/vOn5m/vM3v+p7o/vuuP35hsQ3dftHzeDLKy10YhCSX/vqY0de9LO//RH5lhcdedFPv+mst7C6kZVWg6VWjaVWwFLLY6kFy62U5VbM0mrK+VU4siSYm13ll39oiRfurXHqwjRn5+ucXfS4sGQ4v5hweiFlvpMwOT3gxVd3ufkyCGSVUIVcWK5wbtHj/LKgN4Qk0VQCTb2SMjWRoIET5xPaXdi50adeHWKMABHQ7Wt2bBqytOqBsVJktQvDBAyG5VbE1g0+nb5CKIPQQ5oVnx2bB6z2BCfOeqTaY6YpaVQEoQ9JIugNJeeXJeeWDBdWEsJwAH7CLVd0edGVgrlmlaWVJqcuhJxdhAuLCReWE84sw5Elww1XLPIrP7TCpskmJ89Pc36pysJKwGJLsryastKOWWmnLHc0ix3JmQ4sL3X4rX83SH7wNdX7vOmf1H7tivsw5ueEVISV5vMNlee8/aNl8N9/30d42Yuv56f//X/41ds/8eV/976//tLFz5xo7Tp0pidffHWHPVtSEp3rasveGAlIQCCEwROGQMLZpSoPHpZcvWeZy7YPqFXA9ySBrwgCj3pVUvMlva7PgeMVvvBowIn5Ie0k5sCpIRtnlnnDi1e4+uION1zW4vhiwmJPUAsHHD1raLXrXHWRZHWQsu+4olHzeOYEXLLFMIhSBmmA58VMNWD/qRDlpfgywfOhP5S88LIe/Z7k6otT2v2UE2cb7N6kqNciVoeGDZM9VrptPvxlePxYypPHBuzcssQ1l7aZmo54/S0dvvdlhj2bGqTxJMfOTHDktM+p85rT8zGn51OOzAtOrsa8YO8Cv/xDHTZOTnLq/DQXlmosrAYstSQrrZRWJ2a1m7LaNax0Bed7iuV2wo2XL/LONy7IUIld586c3t3rpTc1JndWq7WpL+577CP8P3/w4ecbMuve/lEy+Ic//DFeefN29cFPH/g/jp88//NP7z+u5ldiFgaKM13D1Tsv8Fs/tcC1e2pcWJpiqVVjuVVhueWz3PZY6cBKK2WlnbDcSVhswakVgVcdcOuVy3zfyyJ2b6iz2m0yv1xlYTlgsSVYblmJsNLRtPua9tDQGyTMNGN2bNSAIPQNp+d9hAzZuUGxe4thy4YeF1aGPHGowfWXGGrVFZ4+PE2jHhFFPjNTmv4ALt8x4INfnuTS7QnDoWF2QhKnfRqVkGeOD6j6da7dm/Dk0YgLSwFbZ0J2b4YdmyKUijm9CIFvEMKwc2PCVEPS6Yd0ez7tns9yW7G8CkstzXIrZbGVcr4FS4OUHVu7fN9ti9x6mUfFb3JuscniSoXFVY/ltmClpVntxKx0LLiXunC+o7iwmvDCS8/z7p9a4uKtdZZWmyy3qvSiJvXm7jSsbfrVA/NX/8rWiaPpy17x3c83dNbc/lEB/MDBg1QrleqZM6d3PPHEM287fOzMf3n24CmiRNGLYLUnuNBTnO0k3HDReX7zp5a55qIq8ytTLK3WWGlXWG77rLQ9VtrQ6mhWOwkrnYTltuFCS3C2a0B0efNLWrz+hZqLNleIohorrQqr3YBWR7HSFXR6gsHQECWGNAUlDaEP1dAw2TRsmI7x/AFHzkU8dThEJ3Vee1OE56/yyL4Jdm2Gzz6Y8JKrQuZbfSqeIkljpqcgiX08P2FpqcaLr2vz2fsb7N4MDx8a4lPjNS/UJKLPU0dSjp2u4MmAjVMeU3VBNRQEgUAJSDREsWEQQadnWO1qOj3Nak+z1DX005Sd23q8/uYWb35RBLrB0uoE88tVq7fbHistWO2ktLoJqxm4l3twrq1YaKfcsPcC7/6pea7YWWVhZZLVTo1WJ6Tb9+j0BKqyDb+66T9v3XHZ32zbuvXkYDDoX3LJpc83lIrbPxqAHzt6mNnZueDIkcM/cujwofc8/MjjYmm5K/sDTXeg6Q4Nnb5gtS+Y70vOdWJeePE8v/HjS1x3cYXF1UmWVuustENWOwErHY/VjqDVMbS6KaudhFZXs9I1zHcE51qaqcke33FDh1suS9i5UdGs+rQ7FUJfAoookWgt0AZ6A0BophoDDp0xaBNx58N1hr0qF28NuPXqHrFe5e5HJ7n2Ep9D57u0VprcfHWPLz4SsnHasO+E4X99U5t9x0M2Tku+8Kji1ssVy702R09Nc+3eiLuf6pMMa9xyRcCe7QP6SZc7HlGQCo6c9mjWPDwBvb5EG0GqDXECSI0XaFpdQ70Rs33zkBdd3uM7rk+YqVe4sDzB0mqVlbY9NittQasLrU5Cq5vQ6qa0eoblnuR8R7DYSbjp0gV+9ccXuGZ3hYXVCVY7NdrdkHbPp9vz6PQV7a4gNhW955KrzO7dF7/z4j2X/OnC4ny0d+/e5xtSwD8SgOs0klHUf8MjD3z24pWWfvfDDz/i94cwiAy9fkpvkNJzQN7KQH62lXDL5fP82o8vcP2egNX2BAsrDVrdCqudgNWuR6ujaPWg0zW0e4l1B/qaVs+w0BUsdCFOh1xzSZ9N0yndnuF1Nw/ZtUmTpBJPGqIY7nqiwsn5CpunEp4+UgFd47Jtiusu1YSVHo8c6rGwWOfKXXWakyvc/6TPjZdUWOqtsrLSZNMmw4P7FD/4ii4P7fPYtsFnsdtiZXma6y7vcf/TKdPVSa68uMt8q8WDz05S9erccKlh744ByC5PHBNsmI65sBBz9xM+g1ghJaTasGtzxHfcHNHpKrZMaa67BKKoxnKrxnIrZLXr0+4pWl1JuwvtnnVKOr2Udk+z2jMs9yVn2oJWf8itexf4lR9b4YZL7MXR6lRp90I6PZ9O36PbV3T6km5f0OmldPsJ111/Qxwn6mfe+r3fdbhRr34qCHz9fGPrec9kxsMucdT/oQunHvqt5fmD06fOtKjXbJpaCAPYuxCAsBagEAYpDVJ6PHRwIz/3Po833brM21+xzO6tEeeXmoRBlWoYUAt96lWPTlXS6PtM1D16g5RuP2XjUNMfGjqDkOWFCqdPGaJEc+Z8QhgaQBAogycFvb5C4JP0PF6wS7Bni2HH1h7DtMPnHlLsPzzFq68Pue7yFf78c4ZA1Ni1tceT9yu2Tipmmz0qqkoU+8x3oF7x2LZR8Pj+iOv2VnnZtYv82af7BH6DV91k8MMeX3ow4rMP1Hn2WJWLttTYtTllbipi92zMVbtSlNJ4yh6fWhgyNxkSxT6dXsDTh3y6A49eX9EdSLp96A4M3Z797p1+SrdvaPcNq31Y6CkurBhqEy3+9WsX+O5bh1xzUZ1zi01a3QqdAtyK7kDR60t6A0F/aBjGECdw1z0P+ZXa9G9NzTy4/OqX3/TT7Xbvz5rN2v+8AB8Oe2jEj50+9rVfO3HoC9PDXpdaJcSgEEZgFxgP64qkCAFS2E4aJQ1KpgRS8uShOR47WOfQ2Xne9KIuL7piwGSjyXKrRr1dodkPiiW1O5D0Bx69ocdgaBhEmig2xLEhSe09SgKMBqkEvieoBILJhmCqAZtmNds29pidavH5R+Cex3yknuDV1/u84LIO9z4bEw2a3PoCQavfZ36pzi17NbOTPapeyCBRLLRjlBa8YK9HrTHk0QMVXnrdBDdf0+HRAwrMBNdfEfCj37nMFx+P+MJDdfadrLBjTrFpuspUo8ZEA6oh+J5BSdAG9h0TpKkgTgRRAsMY+x2HKf2hZjDU9Aaa3lDT7UN7CAtdyXwHhnrAK69d5g0vavEDr9IkSZPzi3Xa3QqdfkC372esregNhAX3wNAbagaDxP7b/ZQz8+c4e/vnprVO/+/v/mcv87rd3vvq9ecP5M8bwIeDZaRIf/TMsXt/7dSRL2yIhm3CwEcbjTECYQCRW34KIQRSkoEblDJ4yuArTdUXLPaqfOjL2/jSY21ectUq73jlKlft7jIzWWNptUanH9Lr+xmwlb1HgmEsiRNBktil3tZu2aDS86ASQK2qmW7EbN3QI6HLoTMxH767wtFTdSbDKjde4XHL1W0ePNjizq81uemSCjs29/jglwVKhDQbMavdIdqAEjDX7NHuBOikyhteMs+HPltjz4UKr7+pRxQvcfdTM8RphRdesYHX39jmku0tvvRojydP1XjiWMC2acl0U1ALBYFvL0IpQAiDNqC1IU6yizU2DGN7IQ8i6EfQGQhWhoLlDghvwLWXrvKO71jlJVekzDSrrLRrtDpVOr2Q7sC3xWoZOfSGkv4AevmFM0gZDDX9yDBMAKlYWm7zVx/9woYk5de+67UvNvPzy3+yYcP0/xwATxd+nVRMIHt/8cOdjn53d/7IrC87iIqPjFIrSDKQIUAIYcEtJEp6SJmilMiWZ42vDKFnqHqClYFiqTXF7XfVeeDpLrdes8o7XrXKtXtazKRVkiSkN6jQ7fv0hx5RrIgTSZJKUi3QRtgsqDCEgaZWSQiDiMAfcmZpyKcflhw+HXDs9BRKh+zZHHD5bsX1l7VR4QJPHWmwdbLGlRfBprkVlttNrtoqSbTh8w+FDHuSyXrCa1444FN3x5w83+DSi33OrQ545qjP9o1TXLN7gXuf7HD/M4JhFHDZ7mku2x5y2bYOR84tc/gMPLS/xqGjdWqeIPQk9dBQ8UFKu+YZYy/WJIUogSgVdIeC9kDQjiHSCdoMuOGSNu/4jjYvuSpl83TIYDDBUqtCpxvSHQT0+p6VIwNFfyjoDyT9oe0bHQxTBlG2MkSGwVAzjAxRBLFWHD/T4g/+6isb7nn63LurVZX859/+qz8/cHLAh3/zX/zTBfi///X3Imffx+LR7/mBhnfwd5L26cmqX8fUqwwjy25S2JMks+dSCqSUeEqglEIpgac0nkrxPUHgaQLfEPqGWpAyWRF0hj4r7Sk+ek+TLz8xYONUj7fd1uKy7QMG/S5X7jZs36QYxj5pWqb5BQYpNb6XcuKC4dh5wWpf88l7a5xZnMJEPlMVxZYZj52bPC7aClfuaaPlIu/9VJ3l5Qluuszjyj0tvvSEQCQ+G6Yk9VpCLw6QRoKRKC+gNRBcWBZcYWrcdn2H+x6tsmU24KYrp/kX37nIn362w0MH6nQHPkurDXZvqXLp5h4v3Nvhe17a4ezyMp+8N2SpF3LinM+ZMwG+ssdKINDGkGqItSFNNFMzMVdf0WM4jLls+5C33DZkw4RiuhESxxXOLVTo9QN6Q7vK9QtgSwvuoWAwxK4Ew5RBpBkOUwvu7N6PYJAI+hH0Yo/jJ9s8fPj+2Sv3bPidm2/YEX/4N7f+1fyx/8aG3f/unx7Af/KX/4ypPS8V7/iP5q1bm8/88dtf+mztqosCUm01tpIaIQxCaoT0kcIgJEgpkRKUlBm4Ldg9T+B7KYEnCHxNxTdUY0MtMkxUUqaqgl4k6UR1jp2u8xt/NQ06QSQJ11/dY/emiCQhk0Q2iSOFQCqB5wccOBmw73CFesWjEUhma4K5GcmGaY8tc4qdm1Mu3blKKpb43Y83OXFykpv2+ly2K6WfdPjaUyGTVZ+ZCcNkI6JWtVJIa0lroFjuGpZaKa1ulRdfucrD+3rsP6mYbFZ44RWT/Pgblvi9T8Cjh+t0+4bVjseF5SabZmtsmBqwc2bAf3hrj2atxZPH4MApie8blDIIoQFj/2cgSWDXppRbr0pIY584CTGmxiDyOb8Y0B/aFW0QqUK+9SPBYCgYRJa1h5HNyg6HmmGkGcQ6ey+/wyAW9GNBJxasxoJWokn7Q+Lek5NvvGH+j393/kKi5l51++D8b5nKpp/+pwPwn/w//4pNmzeofQ9/+c2Hjp798w8+cqHy5L5JfuOdLS7d3imCRikNSmYBpPBRyqCkQimV6W2J71nNGfiKoS8ZRpowShnGhmqsGcaaKDI0ExjGmmECUSIYxJJhGhKnFfYfrvPEfkiNwULbrh6+hEDZmo9GCFduhmYVJuqSqYZiZtJjwzTs2DRk89wqsVnmdz8+wZGjE1x3keKibZI921b4yjMJF5YmuH63ZKqpqQR9QhlilCBJJcIYkjRipVvhwpLPdZdVecHeDvc+WmHjlKBWaXDdXs2/fvMSv/MJzTNnGqx2NasdxcKKx+xknalmlanmBM1azFw9Zud1EaGf4HsJSqVIYXWewV5UcayYX/CIE0WcKKJYMYyzx0gyjCXDSDKIJMNI2AA1EgwjwzCyx3UYpURRpulj+34O7EEMvVjQiQStWNCONHrQ4wW7l/m1f7nAq686W4v6yZ9z9kta+3s+3j33O2l987/99gf4b/zOXzPXDNX+M2fecvzk/J898sypCrUmn3tI4b9X8Cs/scrlWzt4SiNliswBLg1KeShp8JXB9xS+Z/AjSeALexJ8wTBQRLEFehwboiS1rkji3FNIUkOaalKN1duaAtxCgJLgSfB9CD1BJRTUQkm9ppioSaYmBBumE3Zu6tGor/Lx+yLufmqa1cUmV+9Q7Nzsc8n2AalY5fMP1aj7HnNTikZtwFNH4NmjHldtN/SGimsuibl6j+H8uZSFlYD+oMZrb+zw1Sf7HDqjqFclYdDkqos0v/LDS9z1TJ9P3TXLUtuwc0PKSstjsqmYqPs0aj71qqESasJAE3opnrJSS2atlcZgE1ZakGhJkgqSRBAnkigRxLFkGFvnJYoFUWy19DBOiWJN5BDHMHbvOWtbcLdjSSuG/jBBJD2u27XML/3EMq97oabbbxAnRyrGq/9lP535XwbJro8ceeoD6Z6r3/HtDfCpupGdfvvtF86e+YOTR09Wppp12okhkoq/u18RDRVveXmbt76iw1QzodNL8WSK56V4no/vpfiehx97hJ5i4FumGfqSKBBEsbAnJ1bECUSxtA5CUtp+SapJU+supCZzSrJANndnlLSyJ/AEYSCphJJ6VdCsGSYbmo3TQ+amOiRmldu/KvnTz86woVLh6h2CHZt9dm3R7Ny8wse/ZlhernDZJsVUExq1mAvHJfMrIcFuGMaCuQnJ5CQcOmZYaWvOL1a4ZFeFV1zf4dP3VJhpQBgEKDnJVXsEP/H6eXw5z9/dO8WzZypsbMdsmEyYqCsaVUWtKqmGHmEAoQ+eZx2mPI4pQI69sFMNaSpIUjKgQ5waogTiOLWkEGui/DHWme2YuzKZBZlYSdKNBe1E0ok10SBiImzzfa9d4q23dXnVddDqNBhEFYZRQKd3vhIx98epmvAQ4V9jeebbE+Dv+4tPoFP9wwcOHf3No0dPNudqiiBK8aSkJQIGQvL5hxVfe6bCuZUl/tc395hqJgzChE4vwfMCfM/H93yCKCXyPYLISpMotql0yzjCMlHGSkkCcQppap0ErW3ApbXJezgzcFuAW20v8D0LkEoItYqmUU2YbCTMTfaZnVrlvv0Rf3lnlQPHJtk14bNnE2zbFLBtI1y6o00vafPgviZV5TM3pZhswGRjyNREQhB4CGEvrv4wYLkds9oztLoJ8ysBOzY1uPmyee58qMeBM01qYYyvAoSYYM9WxT9/1SI3XDrPX97Z4MGnJ1nqemxoJkzWEmoVSbWiCH1B6Et838YqSmVBe9ZXaR0qY1evDOhJqrPVLbMWE02SWnAnMUSJKe+xdWUGiSWVXixoJ4JOAoNBgk76zFQ7vPN7l/j339+jFvq02jUGUcgwCukPA3rDgNXWqaZf83936/ZLgwNP/O2fXvqC/3FFWv/DAL641EIp9WN/8P6P/tq+Q6dnQOB7hpoBgUEJQ0soeqrO6sDjN//GZ9+RFd7w0h63Xdth4+yQTrtK3wsI/IAw8BlGHmFg7b0c4HEsiRK77MZJ5mmnZNYfGXNLtKEEt01SZswNnrIJk8A3VAJNtZLQqCRMNYdsnm1zodXjPZ/0+fzD0yyv1Ll4TrBjg2DrhoBtGwS7twzwglU+dLfH0VN19m6UTDUkE/UUKYecWTCEnkQKMEYQxR47N7R5iJR2T7HSNlxYrrJ3W4Xvua3FR74UcPxCiO/FCOGjTZ04kVy/e4Wd39/m84/2+ODnp3nkeJ2tU4LZekq9klIJBKEvCHwbq3gKGzhLUdRkGOxFpg3WaUkt4HOQJ6mVdBbsEKW21iXKk0eJoJ9AJ5F0EuhHmrQ3ZNtsh5ddt8IbX9rjdTdqPFFlebVKFAcMo4Bh5DOIfOLEOmFR78RMmmx596XXfI+Kh6vv88PJbx+ALyytEgTev/jo3939a/c9+MwGrQ1SCnxll0qBRgqBJyBIBB1RoRV5fOgrFe56ssN1l7X5/lf1eP1NLWYmQ/oDe/WHvk+U+ESxVwRKSaKIU0mSSOJUkCSSNBWkWpRaWwsKVWLIMqI2WaSyZFHga8IgpRomNKpDZie79OM+X3rK8OGvTPDg05NMBT5XbTVsnpZsnAnYMifZtjHioq0rPHm8zye/OseE8pibEDTrgmYtptVL+ezXKjQCW26gDfSHHm+4dchnHrA1Ma2uZn7FY9uGBm96UZcH93fYdyigHiYoKSzIdY1BZLX+P39Fi72b5/nQXW3uf3aSkytVNjUFExVDLdBUPE3gY61VSZYgs987Lz/SmVTTulzhkgzoliAgTgVxmgE7FQwSQS8RdFNszBNF1Ks93vTqZd7+qjbX703ZOOXTH9RpdwOiOGQY2fM1jL3sfGWWrDAsX3hqw7mTc7+2aefL9XCw+v6w8q0H+bcU4O12i6WVNr4nfuiOL371v37qs1+a6bRWCX3LoHm2TbjsKQ2hFHSUT89XnG6HnH2gxgNPdfnI1R3e8oo+r7l1wPRkQDQMGSY+UewTJx5xBvQkVSRplrBJS4BrkzG3LmvK8r+vpK3j8DxN4KeEQUw1jGhU+6T0+eKjkr/68iRPH5tAxCG7pgybJw2zk4q56YBNs5ItczE7NrU5tdDhDz9VJxlW2bZNMNnwaNahWYsRfkS7X2eyYRBCYAzEiWQ6VCQ6oRMHdHopK23FmYUqV1zU4Ce/a5V3/3XIiYU6noqzC8MjSSoMIsmmmZDrL25z9UVdnjlxhg9/pcqdj0xytlWlHioaAdR9Q+AZfGWPsZKZJHPOlwaMthddqgWpgSQV1j9PBVFqk0T9VNBPoZ8YkiRBx0NmKn1e+8pV3vbKDi+5Kmai6hPFdVZaIcM4II49otgnSrIVtyAke56MgZWVDt0n7t7Q7gX/dcdFNyfLy2f/Qqk6ExPfuvmJ31KADwZ9Zqebb3zooUd/78tf+lJTRy0mG8rRe3ktibXllDDWuZAQppqqEvRUQC/xmB9W+LsH6tz9dI8XfqHLv/neDpfvaLNhUtGseURxQJT4JEkJ8jQHuJZoYw+iMaLIjFrm1lmaX+N5CWGQ4KuIdj9moR3z3z9e4dj8FI/um8TogJmqYMOsYXZCMNNUzEz6bJyRbJpJ2DrXY2Zyhc8/pnnk2Umu3iaYakgaNUmzpqlXI4Q/JAw9PGX/vjGQppL+0KM/iEm0oNPXdLqG5bbP+aUmt1za5eYrVvnQFypUlxWejC0gjUeSBkSx7fGcnaxww54uN1zc5aGXneXEguQv75xkfrXG6aWQQEnqviDIZZg0RSLNpjwzqYJl8sQIEg2xFgxTGCQQaQNpAkmMVEO2TPW5eqc9HzdentKseiRJnVbHAjtJvIyAFFHsESUqk46KOLbgTpJ8hfUYtvqcmb97ptMLfm/v5deu9Pv9T34rMfktA/i+/QeZm9uoPvax2y/ev/9Qc9Bv06z7RLEmyQI+pUClApVkNmAKXirwlSFIDGEqqClBXwl6Xkg/9VmKqtz5yAT3PdunHg75X17XYttMwq4tfW65soMnbIuYEFau2KykrZU2xmFuDEIalLCeuSEBmfDMMcnD+z0+/WCDZ042iJIaDU8xVzVM1w1TNWN98KbH9ITHzKRg03TClrk+m+dWuPvpIe/99AY2T3rMNaFZVzTrgkYtoRoOue+gYhB5+HULKmMEUSKpeIpr9/Z54KlJW/jUT1lt+yyuhlxYnOInX3+B04tLPPD4HL4ERIyGAkDDSNLte0w1Kkw269y8t8fLru7x/S9fYP8pzWcerPDg/ioHj9ZJhMdwqOjFCiVkUf4AFKURqTFoo0m0wWiNL1ImgogKMTdf12X35gHbZmPe8Zoh1UBSr/pEUY1WJ8hWUi8jHFV47XEBbpkF/5mMTEurMooFrW6H+++/r3nqzPmL3/zmt6jTJw+n23Zc/I8H4PuefZYtG2eCBx586EfaneFvnr+waF2DxCBFZtspUFlnjJIClWAlQmrwEvClwNeGMDFUlKCWCoYaBqlPP/XppRU6nZT/+qEpTBKzcW7AFTsGzEwkvOUVfXZsiIhjkeltCQ5zk+lPKTVCCj56V5Unj9QRnseJszXOXKhRqSomQsFk3dCsaJoVaFQFEzVFs6GYanjMTMLsZMLGmQFbN7RJzSof/WqTfrfOJdsMzZqiUZM0qppGJcH3Iz7/QIVhT+JvsN2iuUSpVxWvfWGfex7TdIeSbj+l3fNY7XicX6px+e4Gb3lJm0efqXFiuYGSGogzvewTp4phbBMz3YFHqxvQqNaoV4dcvm3ATZcOODXf4vi5VTw/5YmjHh/5Sg2hbOEa4/MHjQY0GEMcpezcmPC2V/SZbaZcutOwcQbSxGcYNUgSn5W2TxIr4tTL4iBFHNuVNE5UBuYc2MLGSRmok0zbx5nzZVB0O0v4csdvPv3UI70Nm3b/6cGD+6O9ey/7xwHw8+dOs7q6uPfkydPvefSRh6VUCh9ZFC5JaYGcZFrQ3g2eFniJ1YlxavBTSJQgTA0VbUhSQaQNUSoYaskwlUTaJ9aw0G3ylSc1hpS/fdCObMDo7J5n8TKLTOQViRKpFEnsIbWH70kaIeyeM9R9TS3U1EKohYJ6VdKoWjk00ZBMNWFmImFuasiWuQ4pK/z3j1W496kN7JmBqVrG3jVJo5pQq0bUa32q1RqhkiiZaXCsHIhjn0Ff0B+mdIaK7kDT6WvbMlcPOH1hghdfMeRfv/UCv/URj5OrIUJojInRqSFOfKJYMhjaMtZG36NeCahVK9TCGpUwplGNuP6SiMCPufGShHe8soenkiwJZEsjRkR5Jum0lgghCX0FBAyGHksrnq3bSfOYJ7snsoyBMpZOUlkAOk5GgV3eMw8+0/xpanj4kUfkMFHvWV7tfzUaDp7+VmDz/2eAf+nOv6Ve86onTx5+89Ejh0W95ttWqlQjZN6YYEiLVLx1LrwsUvdU9pja3sckj+jTLKrPI3stytdaEGlJYiSp9oh1SJrZXu6tyFIK8ISwel9BpWqoeIaKSgl9CD2oBIZqKKgGklpVUqt4FuB1wWRDM91MmJkcsmG6y5YNS7z305oP3rmR7ZOK2YamWVc0aop6DWrVlEY15tyS5si5kEpgL2jIK/0Eg8hj9ybNptkB7UFAf2AyFpesdjwa1QqN2iTveOU8R8+d548/uRVPehg0qU5JtCFOPIaRoh/ZoqheRVIbeFRDn2qY0urYGCPwU5sw820STeVZY2GyoDurW7FHLAO5oKWzKktt45o0lWgtSXQZ7ySF5JBZ8sh9by2w05RRkGf3VAuGETz08OPioou6b961a9eR2z/y8f5b3/Lm5xfgnYEXLK4u/OzC+fmfTeKhrIQ20ZIIaTWvA3AlNWmmw9NMniQavNT61WkejGqTvTbFe+XzslLOermiCJRczQ15RaINrDyp8SRZTQv4yvryoW+zl5VQUgkk1VBRrSgaVUmjZpiop0w2EqabQ2aneuzYuMSDB4d86K4tTFVCNjY0zZqw4K5K6hVNvZLQqA158AA8sb/GxXMm071l2rw/VNx4qeGSHX0eenqS3tDQH6R0+14Gcp9apUq1Msn3vXSZJw7O88C+TWAUWqe2HDYxJLEp6kn6Q4/awFCtKCqBJgx8wiAl9DSel+J7tsRYqbL2RwoDwiAo9VwZnNsSYp07UjoPDh0rNge2zgGcv86zpWPg1jnIHXAXpRQQDfpycfHC/7F5w0QwN934VSB63gDe7/fkYDD4pY999EM/fWH+fBAGCp+yzFWlomDuVBpSJbJgU9sDpAyetgkGe+AMOrua0yL7iGXnDOQ6y8TlyQpjDE7mfWTFLUtuc1mUZSwVTtGWzf6FgaISKqqhoFYVNKqGZi1lop4w2RgyM9Fny9wKDxzo80t/tpGTpye5aFYzWYNmVVGvKuoVqFdSqpWYwB/QGthiMV/ZPEB+S7VluDgJaFZjeomml9VZ9wYpnZ6kVVXUOiGVsMGuTTG/8iMtfvHPJV/btxGDQhtNmmqSNCFKNFGsGESKfiipDhWVQBIGhjBQhJ7G963f7yl7/JXKVtRMpghhRht0s9S+yUjEZLUsaQb4VJePloxk9ihKgGfPx4GdZquzPe+QJoZEa7S2GbhzZ88G05PNn3npba/0+/3ef65Wa//gdP4/GOD9Xhuj41/d//S9/1uvdaoyUZOAITUCpS2oUmm/mJKCRGVAlsYeGGUsiFODzp9rgdamsBV14dGC0cZKn6wE1L0zBvBMdpd+u7DgVspKIi9rRfM9SRjYAUCV0I5kqIaGekXTqKU0azETjYjpZp8tc6s8sL/HL/7pLAdOTrNz2josjaqkXpOWvauGWiWlVomJ04gPfKGBVApfGpQobUJt8iXc55+/eoU7HonoRCG9DODdvqLTVbRCj0oQEvpNLt2e8F9+dIlf+FPB/U9vRBtJqm1aPU5sodkw0gwrttw1DAUVXxAGNrMZeKbI2HpKI5WNh2yM5AC8THkCGYlgcwnWbckC+RzA2dQBXSTXyNidYsXNV2dbNpGxdQHwDBepzs63TUA99eyRytSdd/3vr3vNK8XqavvnJif/YdOz/sEAX106jDH65oUzD1cblT6xrzJ/034ZJQWJBKUt0JUWpFKQenl6OAd3Lj/se7qolSjbr+wXF7aOIgd1fuDHPlcO8LwGI8/k5ezteXndicT3pa3fCASV0M48qYUp9aoFd7MeMdnsMzfZ4sH9PX7p/dM8c2KWbVOCmbojTSoe9YqtX6lWEqphhO8PObM0ha/yWvdM35KtRqkkSRSbpwxJEtOOK1mnjKY/SOkMJNWeohL4BH4F35vgsm0J/+VfLPCf/gQeeHYDqZYW4KkhTtKMyTXDUFOJJINAFRLM98H3MudKSRsHSTKZgo2XRHkMXdIwJssE64zVc3mYJYfybHGaOu/rUnIW8jM1xUpckJs2RZmAdt4fRH3u/MpD1a3bdt0spPiGePyWAnzx1O3UG0u1fU98MQhki0ZNMYg0sZRFcJhmsiDRIgNx9kVTC3StDalH8cVGgZ3LEFMA3eRyJH/+HJ9NirKISspMKmXgVlJmjRK5PIGKD2GgqVYM1dDq51o1plmLmKz3mZ1q8cihAb/wvimeOjHHlknFXF0zURU0KpJaRVGrCqoVe3HYVH/EA/sE3UFARZFdZFaD500IqRbEiUe9orjlyg4PPtOkF1uZ0h+m9PqKTqgIA0XgB5l+nuTy7Zpf//F53vVHcP++DcRaEmudNUuXPZjDQBIG2rK3X9bReyq/k8mUUsbJLMu7HsjzpJDJAZ4BPi2cF9ZdeXUWSxXgdYCdgz1xwJ1kdTCDSLB4epXf/uNPBm95y3fWfutPPtv76R99/f94gC8tHCeo7ZycP/kXf4jpvlTJmMCTGGM7SWRitXciIVUCVSxHglRiwV4saaCVWJ+1HUDrAthlUzCZ9i5OhrAFRUJm4M6KjFQBcFBZxaDvQeBjO4GCrMAqTKlm8qJRHTLR6DPVaPP44SG/8L4pnji+gU2THnM1zUQV6hVBvaqoVRW1gr1TKmFCozbg7icCVlsVpqbKNHkOGJ1p0zhVbJhRvPIFXe5+WNsumkg7IJdUfEnF9/C9AM+rIqXm8u2GX/vxed71R4b7D2wg1h5xVgFoy14tk4exLKoLA0/ieVkRlhQoLz82FJ8vvwhzqSLyqjTKhND4XTuPWjuPxcrrrNb585zFXdbOJUtqKxiTFAZRim4PXnr08NE/+fl/+z0/9V0vP7669+Jd/2MB3mufZdBbeNfZM2ff3lnuYExoG4ANgK2YSyVIDTo1pFJkLO4EjRmr6+Jqz8CeJWdy9h4JJMeZO0N6npErtLfMK+hK3Z1XDHoKW5/hGXzfNhZXAk0lSKlWEmqVmHplSKM2YHqixaMHh/zsH83y+NGNbJj02VBLmaiZDNwZe1ck1dCyfyVMqIURiR7SiUKEkvg5gxcaXGTslmX2Yp96MLDlAlGFqRzkg5ReYBk8DKStiffyDWgNV+0yvPunLvAf/0Bz//6NxNpjmAqiVGcsLqjEmtA3BL7tXfWyuMP2t4qsDdAeJytThLMC2qNaXJhurDMG7oKEHGJywe2ytTbWSMidMGsslM9LZ8XgKUFndZFTx4++/e57Hz8yHMb/6X8ogy9cOEN9YsvOZx5679Xt1fOkxgdjT6CvDAKbKSwdFOuGqCzizh2RYhnLtJsulm33gAmHKcqspHHXzJy13aAyX26zDh2VBVOel3UGZUVIefVgxU8z3RxTrQyZavaYqHd4YF/Cz713lseObmRuwmOumjJRMTQycFcr1k7MwV0NUypBQrMese+44a5H6wRS4iudBXGljsyX7zhVJNrjtutjLr6oy5GTVeZqlH2Ow5TeIGNhT+F5ftHtJIThyp3w6z+xyH/6I81Xn5ljEFdtMiwx1LIa7tDHgtzLVy+dSRSJVGmxwikpHIALB+Ss0SslyM0owIsKxXLlXW9lHjUSHEZ3dHtenFcNFSdPneOLdz189S/+7E/sPHnyzIkdf4/tDr9pgM9fOE+l1tx15OBDv7241Hlj1B8S+LJIgSuy8Q5aWqdEibKqT5si+tZ6bCkrGDsray087TGXZI1bkjH3OLiFQaoyW6pkNj8lY+7A0/i+JvQ1YZBQCRIqYUStMmR6osdKp8c9T8Ov/9Umnjw8y2wG7smqoVEV1Cui8Mqt86ItewcW4NVwSJSmDPoVKspeZFKIkUq+PJFiA03PanlvyDAy9GPhAFwTBCmB7+H7Ek8plPQLgCPgmt2CX/+pFf7rXyfcv3+Gs60mg7pkMjU0EkMlmzgQ+ibz/nMnxRTsnUuVHODF580+tIvzQiFmJyVfVUtwj0pKW81ZMrYxrnwpgV0A3pTgN9jPN+j36HZW33jvfQ+kN15/zf9+7ty545s3b/7WAry1cpJBr3LT0oX9b168cISppszSvfbrSiHQUqAKuy8PJvMl2QF4FpTY5dpkB0A4B2ZU85W3UVWYnwQ77iFnb5PJE+MMB7Jlsb6nszETaQHuMMjAPd1lYaXPr32gxie/Nsdid4q5CclcJQN3xeruWhZYVkNJLTQZg1vtXQkjIOLLjwesxAEzISP12IjRFSpNbfNDM/R4xXU9HjgQ0YlDJoqOdU0wtLXqgWcB7imDkj5C2gQNBi7bLvmtf9PmMw/0+dX3b+T04hT9SY/JQNBINLUEwtiOXg6UHWjk54GmFEUQnD+6gbp7YQpR9IqMzK8ZkZAusJ34Sbvgd4NQh9nTMcLL/6avFM88e4id2ze8OaxUP9Dr9Y9/Sxk8irr4fu2S08e++m/jzhPMTGoCX5QAN6ClKTJfymk0SLNuGsvOjtYuQJ1LEFPaUOOs7cqS7EvnzJKnm3MXQOUAVwZPWmB7yoLb91ICPyXwEypBTBjENKp9PK/H3U+k/Mlnm3z63g1EusmGpmC2YmWJtQBzn1xld5Ext8veMZ435L5nJ+lFHptr+ecZZ/Dy2MSJouIrbr68T6ItwPuxsF3reef6UNvg0BMZi9sLWWTJdYNgdlLw9pd3aYRnef9n+9zz7Azn4yq9iqSZGOqesSD3sjhEmSwuyYrfZH4MRVk7LkFSsvj4joKFVMlHVDCuzd3uobL23LovZnQVd57nBJBTmtYQCckX7n6aPXv2/tvvfO2LH+t0e4ca38RIuG8IcKP3ceH4pwkqE1vS3sGXNcJzmDC0oBP5JKUSqFo76V3tOCTOz0bkSK61yZIJI8B2rAfXvhJmTJrkWblMLkmKyVc5c/vK1mKEfkwQxFT8iFptQBD0+Ks7PX7jLzZwZGEaP6ywqSGYDlOaoaEeQj3rsK+GNttZyRJCtn4lzVYCK08W2yndKCBQikCaIsDE+Sr5hZ3XbkSJT9UfsGmyz2qvQT8W2bg1Gyv4fprZfCqzO5UF+Ejgaisf3/iSLjdescCv/+WAD35+juWkTi/0qfuSpmdrcEIPAkXRDOHlSZ9s5ZOFVCkTQC6pjIoVF+iMrMB6hNVdbT4G6rGyi+IiKc84oDh/osUd9+5/2Xw73bK03D5072PHefF1X99V+YYAT9OUDbtftGvYevy9/fn7mWrGxEleE1LWKxjt1C6MALyUKe7v5MFjcRAQjiQRY9IkB7cp2STLvkkX4Fm9ixxh7jQDeULgWUkSBkNCv8/xCwl//Jk6n/jqDEcvTNGs+UxXYCpMaYQmS73n4JYZuGWRFKpk2jsM7IXTrA/5+H0eh05UqWQTuIp2MUqUF2McjNXhceJx2U74zhs7/MnnZujWPJrZ7JEwyuIGpfE8mY2twwG577CRXRV2zEp+7gd7XL37NH/06WmOnp9gOanS8z3qSlDLgB5IYy+czGUqVr/8uOb2IVafl5lOs9Ynz4kpL51wQDpuKRqXtfNaIkOZpdbr/6wd+dz+lf1ccdXe937Xa2563fxy5xtKla8L8BMXEpSn+MrX7tmme4/uuXTqJM36DP2hsR00WtkaBQfkJcClw+hu8U4pV4zL3kYULFCyQk7bZkQH5sC2j2XFopI6c01y9k7xvcR27ngJYTgk8IZ00oj33B7w/s9s4szSJFpVmZ5QTAeGiUBTy5i7VqTvZVankkmTzDsvwB3Y7OUwjjh0OqQbhUyFmYuTJ51yVyLPwhqnJiX2aNY9dm+LUOGATtSgHwiqsWGYA9xLs0SNsj62zEuA1wteFXMTPX7yjT3efNt53v+ZNn/80RkW+3X6XoWKp6h5gqqy9fdB1u2jpMiym9kYPWnWZ3LWkSvjDgswEkvloHWITK9hczHyOs1KAxINQ22nZZnlcwxa9+/x0mTbi697xXFj+ghR/YcBPO5fYGFpYk6q+u1/++VH/J95KwReNiU11aRpmlWZSUd+5FpbYMYY3v25y+AlYwvMup/EOHagKYA9Ik9kViWnUgtwL8VTKYEfUwkiAj+iNYi470nJX93Z5KNfnWGQNgiCgJlAMBlo6oGhFhpqQQnuSigJQ0mYSRObGMqciQzggW8zn8fOGe55pEYU+4R1sybAzG9lOtsSQRQrfN/jlTd2+NAXuxw4XadfsaMZhr4hSMCPNX6kUUpa31ragaTFcB/K45lqSaIltdBj42Sf//h9PS7fMeSDdzZ4eN8EC/06AxXg+x4VT1CVEOYDlnJ7VVrjoChYE87xz5h8vDjLZfScoMYdsfx1qbnt7xSvydL/JiuNNrbxpZ8KoiRlMkwZtu7y/eBlt7e7qy+Ihq2FfzCD79nekEvz+2/awOcm3vW2JZp1wWCYEvgRUnqkUpYAL0As1wW1K0uKew7sTKK4DD5S+GN7dCyTFyllXZR75tOwPJVagKu0kCOeF9Pqxtz7tODPPtfkzkcnWG41kNUKjapi0jc0A03NN9QCQzUgY23L3NVQUgkUlUBQCcgq9HQGbk3oW/2tvCEHT8OZVsUmVjJ9O5o4KetnbB+kBXmiJVHksbEpuGR7n6dOJvRin2E24zuIbJ7BV/lk3TxRA3KsM6dgwsyGjFNbH/62V/Z5zQtX+NJjHf78800e3tdkqVOjJQO6gUegBIEUhBLbwyntLnVKlBepElnZ7zoMvqZ+ZZzJHULLAZ0PI0odwKdkdf8GYgOxySsTNZCw2vH5pT+d5MDZ+yZ+4E3Vm15w9SWf4+sMD/q6AE8Gp8J6ZfgHE8G+euAFJEmCp5KMQbUFeNEDKUtZYhy21iJblsrXwCjAnQMywgsj0sSMFOhbWaIzza1RMrUD8XM3Q8YsdBLufsTjs/c2+OQ9E8y364hKBb/h0/RgwredPFWfTHZANRDZXWYlp5nuDgRhzt45wL2EIEioBBHGxHz50ZAT56rMTgt8qcvpuOuwXVF+mkmK/tBn50bBK6/r8YmvRXRjn34sqPi2XzXIJkuVq5Qq/GqEHJEp9i7LRgVt/fZqOORtL+/zHTcu8bdf7fCZe2vc/WSD+VaNvgjoBx6er/CEsC2EUuJnjeFKGBTCkYaj9uE6ZF6cW+086qxwq5QhIpMiFtQ5wFMDKbY/FJPaohaTgJL00iZ3PnSh/vpXmz949tD5y4H+3xvgK21NO+n/wHDp7snZyRNIoQuDXgqFydjb6vAM4EY6rJ13tVt2JwP9yEkA2zu5Tk3gSEDpAFsIndmBGpEB3PNSAi+mUokZDFMOnIHjZxUf/sIEn3u4yfxKHfwKXtOnpiQN39DwNFXfUPWh4ltwV3w7k9CWmUrnLrKfmwzkugB54Nv2tCNnNU8dC8H3s2XeOCl6MYICNwiz9dKCJLXjnK/aPeSKbV32n6nRrwhqiSCMDUNFZu3pjL1zNyW3IEutUvjsuU2rVTZ9wA7fqVaH/PBrh7zhllXueKTL33yxxvGzFfafqRGthiShx8DzkEradD7gZY85kxfShTL4X3Nz3RRc9s5YGwpwG3Lr0Ik0XWCT1doaIE05fyzi8acfZ3bm61uFzwnwxZWWiOLoX//BXx6evGSD4qZLYm64NMbzBdIDE0uiSKG1QhuVAVxgMkZ3ZYguXlvwjoLbueRHGME4ms8mNawk0dk02pQwtJNUkzTl/BJ84SseR05XuevBKmdWqhw5W4cwRNU8Kp6i7hnqnrYugm8H51d8O67Ngji/y+yuMoCTae4M3H5K6Fv2thdWxLEF2He8hi9H7cFColDWgxeOQu6k6KyvMfG5YmefSzb0ePpoQi/xacSCoQdBYmcCKgfgUgqElCNMXjKlU8aq8/rzrCk49Rn6Ac1qxD9/9ZCXXN3mzEqbLz8UcPRUyB2P1ji7VCHt+2jpEQcKIaVdKbKufEmW8YRCtqwH8pFAEzdLnbst2bs5qMl8Q5Nmd23n8MUa4Wuk0rzw8oibLo64dc9XZl/96n//b//tDx57twx2rxu+PSfAf+fPPkucpHzg73qYeCO7N/a4aveAl90w4IrdMVumNRfvGqKMJI0kmjzYLCXLiNbWZb9frrdzth79ZMaJ2EvWLqSISvHDlDg1HD0leOqo4gsP1nj6WMCzx6q0h3YOHn6AavqESlBTUPM0VccHDr28TiMvm7V14WEmS4JAEQQyuwBMqb391GYWfavzK0GM0REXliVDE+J5kkAaPMdmGyPwAuSpGe13jBIfgcfcdIRUA7qxT88T1umIy4IxT+mRDKQUThSbDztCZCtr2VqWD0byU1WMn+gNAzZNRezYGHP9RUP6UZ//5ViLp48HfOGBCk8dq3D0ZIU4URAqjFQgJKl0skFFkuI5tIoY++L5MpMDm3yeeVZfazKQxxqPlD27Y7ZOJ1y2O+K2G4ZctSthxwZJklyodxbufrsQ3rv/Xgy+cOJTPHusp971u0fEMBYMBjWeOCJ56nDIHQ/WmfATdmxLuOqyiFffOOQV10ZgNL4H1brB6OxLa0ESW8DngaQFd56DGz0Y+a5qQtq6EYRtXI4jQ29gGf34aclf3xnSixWPP1vh8KmQxW7AMA3AC0D5qKYikIKqgpoyVBR2nJnKCo+UZe3AFzbp4YLblwSZLAkDCAMy18SmzH1PE/hJlhGNqVYi5ldSvnB/g1YnZGpC4GVefF70JZ6L2bQTEGrJcKiYnVG85pYBdzzc52SrTt+XVqZ44CcGP84968xjl6m1C3Fnncjib2jjOX/DAj1IFamnSHw79iGOfWul+jH1IOYlVyXcfPmQN71swMFTkif2+fQjxQe/UOPYeR+EpNf3SCOVl29ivBzgY5ZRDvARYBeZPURqENpgsD5itZ7g+xphNK+4bsirbxxw5aUxO7clTPgw2wCMYhj5dFNBv3VQ3HPoVvWev7gzeecPvfqbA7iUhisvqrzn5deevuaxg/2scslHa8VCT7OQphxb1tz/tOb2LyTMTScYbbhub8TbXjXIGhsMcxOaa6+KqFey1ceIIge29pyLYjhPqyd44kmPpbakWpE8uM/nU1+tMIgVg1hx7nyAFh6x8dHCB89DhB6elARKUJGGSgbsUBlCZWwNuJd5vl7J3EHel1mAW2U9mqJg78DXBEFeoJUW7B0EMUpFfOUxxSe+1kAFnrXbRvT3czN47oWnae54KAYDnzfc2ueT97X54Jcn6CYV6pkO93MdHudJGVN0CwkhC4DZPyUdre8AXGfTpTzL5L6nSDwPL0kt0FWKUnaQ/lQl4dZLE265NMaIIW95eY9BbMe5/d1XQx7aF1ANBYttxRNPB7R7MlNJgucU5cXOE7Y18NprI2YnU9sNlGre9qoB114SYzTMTWmmpwyeLcpAp5YEcpWQ6h4fvWv1Gtmceg+Cn/ymGNyYBWC2OVj5o0u/60XH1fs+2aAXNUD62VYIGjyNNpqh1lxoaS6sWu108GSNT33FziYxqWFiSnPTNRGNqq0JXjc96V7mmeuw2lU8/FRAu6WQnrQzUYxnmUl42LnAHkgPKSW+FBbM0hBKTZCV7wYKAlXO6LMgF2XDg2cbAfLGYxfcluGzslo/Z/DUuSeEXowxEWcWA6JhhXBCEmRpb5VV5Y1kMQUleTnWadGdrhVR7DPVUGyfjQjEgH4S0k8EVc8OwcxrSPKElpJueass/pb9G3myTZfZU501fDvSKEmyeexKZfsfJcRJioptLsFTKVImbJvV2YqhuXzHgMj0kZ6m1RI8/JTHak+iCsUyGlS7ZE4WTNYrhpuviZmY0pjEruxVZY+dlbkeOrbnX2uJQRblG1IaBlHEx+7uqetuWL30v/3MW5rf/dpWe+fm0bmGawB+9MQSUrXf/cB9h17+ux/2WOrWQfkgVPlxC/3kDtrRJMbQMpmeUob2qubcV+rOV1wP4K5+y06OEOh8ywWymlOhyiBHyszKykGdpZ0l2catuW/sPHpZJ70i23qPAty2rUsRZOAOPIoSU8vgGYt7miDLjvp+TBjGnFrU/OUddfACfCnKALOQJ2INg7v+cD4k1ILNDtaJYp93vKbP397d59kLDbqpTy2xm9LaKsBygJJQeU7ADfby0sVcCkmnwCu/66IWxvMUfmrnpfgZ0JUsk2a2bjx7LnQ2OCjFEwZhUmZrmn/2Yg0izWQmIPL9M9Y6ZCUcBGiPNC7jsyQWxMXoPSeOM668tRJtuml419tPse/CAy9fXLz+3YFI/tU3ZPCf/Z2vIKUM7r7XcGZpMzIMUE4Qk0e+xl1riyDB0VhZAJH6I9UK63zfnN3yvzEavAgpixY0JcAXNq0cClst6Ev7Oh/i6WUMVxQSeThzUMh2Ziu76kuAy0K2hIEpWtqCQDuDcxL8jL0DL0bKiBPnBQvtCsLzCCUj8kS6X8s53a50GAFe5nREic9Mc8jOTX32nx/STz0GKYSpwE8NfpLp8ITCWSpT6GqkUyF3qazLlddeC0caabxUkyqJ8vLty1VWrJYilc5WCl1asxnIRf63yTcQM4XrlQM9d8BKCJQ4wgGsWWMhjwI8t5rz/zYGlPS59YqIl157FNP/myBcJ9+zBuDHjp4toDzVCGzgYsoTk2bZp8QpbdWoEvA4fZNF/vbrSBMh7LKaJw6EQFKmiO1UKvCFwRcZaDMJkD8v3svIviwFpWiwDZSwYB8Bt7SPQQ70PPjMwJ13/3i6kCi+Z/VpEMQkxHzmvioXFqr4E4rAreFwHRTGFKmbunYK0/Kkz2BoJ9i+/kVd7ntyQDup0PM8qokmytLpSpYFUXnBmRCasnMoDzTzqs3cOsxmqhjbM5tqgacFiRJ4qcx2sbO1PEkG9DKZposEm5TaSbxlz6UL7szmLfaKeY7zX2SxS6CXhXfZ+7mccxKG+T/a1RUQASo4y3oKYQTgf/nhO5loVF/8gY/ffWNvOaYudTnoBTf7ZHst8zqCPNWaNa2V3udzw7o46UW1mgCVPwqDB4XVprKUsZ1vUmpclQNb2v3k81EILrCLOSgK24+4HsDzgDPX3V4uS0ymt0dryQM/JvAjzrc0jx6ughfgZfLEcwqU8myfGEO4PVFO1V3RlyoLTzyOfa67eMjMZJ/WSo1eoqgp8BP7XVRq7D12AY4FefGH5Filpsj6JrPaIaVJtcDXglRJUqVJlSDJQO4Wr+XlEDIHuQPqvGTCtizmtSql3YuTtBuxGIzL5G65hnA+t1vT5MYVmbRLBYn2CKozN05vftWLTx16w73bL3nd+gDXOqI/MP+sHqTXVtSQ0PNth7NToF4MejEGgylKIvXIBxu9j1/ArpmUX+V5VqwERzlHfLyE08trI7Ia8LzU0zYX550qVpaoonulBHbefGvZO9PcHoXezi1By9gluP2iOjFGEPPpr4bc93QDGXoEUtj520UFYdlGV1b8jWczx8uLbaCZakV/4HPLlX2+8yUd/vjTDaI0pJtKKqndMtuTZbViIVOkzFjc/VPPxeSgPZmNdBAFuFMlUUpbRpcyGy2R73ynHYA7wJajZRSlTMkXaScGGytbyJN/xXrvMroZlSzarVbN5sDHiaI/MFS0d21tOPxnOtX3rsvgp0+fodmsv+ZTn/nSDw46S0zUJMPEVpQl2QxBbewotqI7wzlRFtim+JDFhenQuBtoueDOASAdUEjKmgd3tEHO3HYLkvw1GYNTtGGNsHjWDeOrUXDbcQpjzJ31bAZZe5vv5Q0HiXOPiYj5my83SU2IKrKXboBZ9jXmzsaIBmesXU9LO0ojzYNND4HP217R4wOfGbKqY/pphX4q8BMKFpfSIBNRFJ1Zu3Bci0pKa9IpSdV2EJPW2Vg9pUk92yTupZJUGVRqKxht9lgWpcmlRelWd5ZlzEVTSgF0sxYHZr1VXoysOvlrtwykLCSz+3/2hpLFdhtRHfzglS94+V0L8+fumNuweRTgaZoQRdHFUdTfE0ddKoFn06jGIDJNnGqDyqWKLNkaY5yr7xtIE5HFHGJUnhRAHyvPLLT4mOYsxzCXsz2UEqUWzyruRobdZMD2lCidlMIOtB33tjHZZMxdBpiew96hH/HoYcmhsxWM8lFSEkiNN16n4QjwcRclv+f9qW5zSO6oxInPni0xV1zU5WsHq8QqoJ8IKhL81OAlIpNvWRdOkulwZCYW3T8pHBYXjjQqR3nkMyE9pTNwZ+1syjjgzmuBTFYmkDM5xeohHHAj8olZa9l7vdtIVakpwe4G5DqbehsnKttBwmN5pc9Eu78njqKL4zi5Yw2Dnzy3SKVSodXpW7ZxQGQop6OWHTjGAfg4sJ/L5B+VJgXgXaA74FZFzXdpu5WSRdjueVGC2waZougW9wpwyxGAu8N/bLc9BbCLbGXB3CmBZxM7tisoxhDzkS/XWFqqIkLP+u7uRTheg+IeFscizJtr3TruwpvWijj2mJ2WvPWVHR493GSYVuipgGpqtXhezqokGbjztUJnnnjucFkWH9G3JpsDOTaVyt4lSucrkimeW4DL7Hvqom0u7/IXQjr7MI0x+FjTSqnF1xRqjAIcRqSKy+B5YJ7/m0Z3SJOz6GRY/HsFwH/5tz9iD0LcRaWikBs50EXeOe84AAWozdqPuXbhKZ+U8mTs0QW0y+Ij48VKxpYugyvhsHguVyTKGwV44GUDgPx868Asw+kZ/CIVr7Pn6cjdU7Zz59kTcPudDYYyQEmVZS9HL8TxDOb4JV+o0pzF3Ta/jMGT1CNMPd766gF/9rkeTx6tEiufnpQEqc7cI4FMjXOcjG0vEy7l6Oxvje5b5DJ5avN3GWjsaGuVlQSo1JTDOou5LKK4oJMxPW7Pp1ssh8PkOcife503rpVY1NVkF2VW15RPaRDYC2x2ytBUj9I9+wRpWv7bHsDBI2e45KIttZ/5pffsfurpQ7ZqTdqDn7MrEoQxSCcTR/EBnvuWX6cj+ju7gse193NLFFEAZ3wcsnQYOw8y86lNnpdv8pppbzUG7jx97+eNydrODClaxPKeziS7xyg/4tAZj04UgPIyeWLGymPHL9xRhI8ONBrzwrNunDLx41H3BZduHfDkoYhUh/R1QCW1NdtepsGVsBu52pU2Z0tNHmSWTF76y3ks5RWDTe17+cBUT5N1EBmkLicE5NO10ry7vzAAyuCyCDzHznfB0+NX/DoMMOqwOLGekwUWIjtfStPvh6z0Lt597YveWRt0/0OvUt9uAX785DkWllqv3rxx9l0PPvQUUkpSM1rQrkTJ2vYkmQK96wLcrA0qXQ1WAECOAqEEdtnHqBxWVCNDNXOQU9ZIKwfUxfMsyaPIvHALbgvgciiQ78oTl71V1tcZRCx3NP/Pxxos9SuI0LfyxNmaJV9lXJA/N1PlNUcOQxUMbh2VJPFo1jze+T0dvvRok6VhQCQ9+lISZD2U5ciHjMHdenqhizJag87ArYu0d+msiIzBTRGk52BXUmQMbiVRWrgoFDKl1OFlO2EpU/LAs/RLRo6NeO7jMw74QsI4P8tnnCfJgFp99l3tpWfvjaP+3xYMfvLYs9SqAfPnT9iuHT8oADkyudYF89ejbef3S0veeT3GbqUGFyXI5bhEGR1MUwBbCqQqx48pB9SelHiZJPEKgOeaWxdBpe/pAty+l9dfjLK3r2KCIOLDX/Z55kgVpI+UkjAvjXWszWKP+OxLPmc1ISWbFx3kjkxJtMw2efK5ak+PN76kzZ99roL2QvoyIJSiSPooKYidgG6cyYXL5G5SxWFDrUAZuyrobM57PtvRsrqgHCtRzqIpJ9NaGSvkqDwpnBWH2BgB/Dd/G88Z5n25QsAwSjh24gznlyvo1G4M4QHMzaY06ilh1dCJBPVsL5v1KuHcsODrfbiig3xEhwpHj4k1QHeX97zdq2DzgiG/EcBlCXDl1FB7WV2KTyFFfFW6Jb4zHKjU3Ja9fc9OrVppaf7uKw0WWyFUMvdEOMHYc0gU8hqRMXJY17bLLUNtq+esm+Ix1VR818t7fPK+AUvdkEh59FOZ2ZMic29E2YwtR9xlyNg7f0sXbJ4bBwIvd1ZU9lxmryWkiuK4uyC3syhNKSUzeWJXZ1ePixFwj2SvyTOe40v+c+Esv1hK5833NEoN6TOkNYgRJgP4XQ8dYMvG6V0fv+Nr//r2r8wTxx7VAIwqEy/lCVs/Yhoj+SI4LX62hrnXDs0cYe+Rg5UlTkaAPTr72+1wscPdGQV3vrNBztzKYe41DJ6PmyhHTnjKZi6PHRccPFFBEyKkVzTnltWDbvwgHFejPCBuLUrJ5MKRJ6JwMop2s9QD43HZzog9mwcs7a9i0sCyeGpliue4OCV7uoVemeDOy2ghK5Rz2wut/Ztbh25sk+/aobOdO4qElizJqAC3FtkslVyTu5LNFBd8DvjCpVuPJNclT1F8P4zOMuCGyXrKzsmnmdm24183Z7/j8aj7xHEvSQ39QbRpGKvXnDjdYc8G32auHEfAHR7p1PGMXFDr6e38YXyWRg5oN5U98p7Ty1g6E8IJNktAWwYnGwXs+uDuPdvSWrngdkCe7VfvZ6WhOXur7LXnxSgV85mvNTi0WIWglCe+Y12OXLCsHRexhoeMY7u6KWl3d7O8jDbyuGg24vW39Hjo2RponyS1WtxPs+xuOiqVCuYcseQykBszlgLPnsvsuczzHfldZNvSmGLccqrsmGx7XkxBTGXCx32eMbfT3lYmgcQoEY4ztYsnFzNZ7XkqsmxsGqKjBSTqNWky2GS0Oe4F2UZEE4FmS1PTCG0A5nnWU5bOsjsC0jH6HvlgI8GkGGPvtaDOX48HaDmgxTrALthcCacJ1wF3Np+w3LaDtcD2ygFBxYg3T2cgT6w8UTHVWsTXDij+9it1+oMAah6eFPhiVJqMf373O68LcMb095hl6PriceIx0fB4020DPndfjwcPBJi6Tz8NCQTFhaaKv1/qYGddLUDudlTZ4DO7wJRl81RaPa4d1s6Dep0Fl1ILR38LJ9AdjaFK7GSAL/AgCqCvF6/l75SyZowgjSm6xexx9knTJvV+Bb9ht4jxFDFCx9S8lA1NO/jGc8Ay7lePX0nF/4/LljFZMgpwMcp2jmPiPi+kiChBLZWze4MSWW1K+XlLkOdlswbPK0coe9kmTJ4aBbpfsLW9K2UDzCCIiKOUz91f49mTNfB9hFQZqLK5IU5wKVwmdy78EdfAZe08YTYy5i7ftk8WnniaekSRx+U7El77oi5PHK8yTAJS6dPXiiBl7LPkXjhjDJ6LgtHPgsovNo1WApVbclJYuWpKPV6sqBKkdmYZ6nLVkOPxiFgfS7lkHc90rrWVxyctgMhWD63Kxupur8Z0V1FpauLI4H3kY5/G8xQrK21mmj5KicI9cbV3GTB9I8Z2r0Ix8nqN5mYdgDuALlm83IGglCaOVVgwdg7wcnJqIVEy5raMbQqm9orH8rmfBZeeigmDiKdPCO64r0avH0DdR4q8chDHHlwni+l8T/eoFXYXJtPAZtRNcRM+TgFWFPs0GhGvvXXIJ+8e8MTRELyAgZYEmRZX2m6Z7koDkZbygHQsg6hKJ8dTlNJFWjbPV5U8yNfGgl3qMtFmgWZGVzBdMnt5LEw5AWBsNXdxtEaurBPPlURpNwnO/11jJAf2PcHxo0fROsVrrSwhpCCOEupV21ywxiUZXz5G3hNfB+Djy9M3YHHpgN3V3AXIrd52s5lKZRWGWUWhbefKnnvufPAxcGd3P59CmxX4e8oON/K8GN+PSUzKp++tcs/TVah4IG1Ds++U8I6Uxrp398U6t5GZ2uTlrBTNyKnJ55qUQB8OfF52VY/Xv7jHMycqJImPEYq+8PBTis8k0pLFy4+wPpO7Q+yVypnbsrl9LZBaFDq88PtzRs9X24zBi6GdQqzP3s5rimSQWB8/Bd4MI1Th4Mq9aS0ZJj2kisFovEbNQ0hBpHI94wyiHzsh7j+1dgkZX07Gg8ryw0gX4E5bl7uzwAiwR6SKm6Z37moM3Mq5e+UmqDmgfQfUuXNiHRP7qFRM4Mc8flxy+5cbQADSRwhVdBGpLH5xs66uI1RSgBgDGCP1OyVzOxrcCHRqW/fsFFpVpO+N8XjbK/p84f4BDx+xkwRireilIiv4ykCXmmL5X0NQ2WcxxlgWd4Ce/1RloNcy288nD4pz7S0zNhf2sTiH2hnY6UoVRtl8HNgjEtgBf/4LazW640hlxzBJDV6iUMpue+7VKgoh7aiDsoDFFLOcYUSxOSdt/Aob05ui/L0y4CqtQMZ0dylVsuXG8bxzgLvOTgHyrDWt3GzK7uxQDsAvwT3C2s5j3libSxWlEnw/IU4T7nqwylOHq+D7IG1wGQjjTI51AysxJu1cQI1CyzhPigYIp0ZEj5WGapU5KqnHMPK5cs+Al91kWbyfWhYfioCBBi8VZeCX5nZhFomlzkWGe45HrUslwSiDNAJlsNlPIxBGYARII0qpUkhLHPbOzqt2AC6Nw+LrmQ+ODneI8uslhEZ3zIAoKQvvDAKvXrOd6UNliCNla7/TspTS/iPj/3wevLjyZFRb5b+XgxbhXsW5Nht1TEb3iBmrPxEUe+8UuxfnzbcjDQ/l1iVKjYHbGYpfuCcqRXkOwDOJEngxh84J/vxzDYaxDzU/kycUrWnK3SVYOBfyyJlj/bMzXqzmyBR3cwBt1tPiHvVQ8kOv7fHpe+ocOGMvvlQreqmyVYZplvxBWCZMs7EcYyuJcSgsB7g0pRaXmUaX2mCkPUdGCgtw7cRKOZPr3CDAObd5ULhe/oNihRnfE2hdaTyOQpNvhyKyrQftxaayz63e8//85sZKRf3f58+dvixNHVkihJM+L5k1v5d2XamVhaOV3QyjlCKrIRm9q3zpkyIrwxTZPDzHFRm75yMTXI+7ePRK3W0dlFFwu3v1lMVU2e4PXlw0M/heRCoj/uxTNT5wxySEIagKSnnUlKGqTDaOgqLB2Xda48pMqpuIkpSTYRkJUMtYorQd84tWSLLG37IXUkmDMJrtmyLOLEoeeSogEXbygBYKIWwp7XpxzygbiuKEC/e1cURNBvbyYhgtlR7V8FmfrsOsa+7uf+O4Se6A1rL/0pVwoztGFHXspkyOxQlEEXT7CZdfcc2mG194yxe9TuvkpDSt13liiFSe7Q6RWQAiRrcUGb+tDQjWRsg4B7mUJa4kcTV4ttS5rD1SB25GtLcswFBKEuVob1Xs9OBsRKXMmCTJKwVz9o7xvZiDZyUf+lINO3/FsnfRuZ//fcHIeGHpfG830BTuiwJAY+DQbm1IOVfQZPMe03zAaapIVabFU4/ve2WPT9xVY99pH2SEEZJB6uOR1YvkxzovIU3zxE8OVUc6GfvaYL3q/LPJDFTSgDRWtuS6Wxr7N4zO/HGdBagjq/Mom4/IEsE6UqXE0zeUJ9ljvoGVAVbbA86eX31dnJ6c9DZPnyMZtOkPEztMM0OzlOI5gb0uyNfTTCMM4rRwubLE1bFy9LkLcNtFkutv53kO5LzaLdfgDrjtRFadPVo7UCmNyv1ulaBkgsrkSaoSPnVvnX2HSu0thbTed9FBw7onULB+eYN7kkaL5EYbkEc8cWcilaezPkRZpvCj2OPyi4e84cVdjnwoJEoVCI9UePSFwEsz+4480M0dFYHLx0UInK35xgiUsRYmWGlijMm0eHYXpkzxC7sJmTQCncsUJ7h0we6uKGWGcx17cPzx69wKaSWyMXyh4MzqkMW4g/e399SYnx/w7LGYDVMKpUoHQHydf3k99h4FvFsHMf4F1yYCRgKVEYCXrJ2/zlk7B3vO3AXQlcvkpe5WeRCZb3EiNZ4sh+YrleL7MUfPKX7/400G0iefoFV2zWcriFsD7erJkQPz9U9KOa5PFOXHeiRl72pwMVKfkmqPJPUJ04R/9eYuH7urxpGzHqgYtEcsfPpCoNLS0ZBusDkG8tybN4CXX3DZe9KYrLMrZ+3cE9cjbK6FvaC0FLZ3wF2Zx8hNCFs0sB6Lrwdu8Q2Op8B+pjCAq/fA3ssNzUmDJ42PwkNi5wnaoGF027sRz3v8qiquPjeQpLB11iR1RqLs0ecusMUYa+eJlFFw61KiyFEG90b87QzMI363c5eWxX0voh1p/viTTc7Mh6C8zBqUmTwxI7538dw9USMsNXYc1wM6ribNGw/cHs1cf5Yz2ItmCKlIE4+tc0N+/I0dfv3PA1qxDQiMkQy1srZhmn8OA6mgVNglyMv/tz9R2VVoDBlzW1bP2dwYW39SMLix58nYmNaqsYLB11vtxBpgj7D5iDIYtQZHnjr/Ro4PYyQmqUBSxQt9QX4vs4cUu2oJ519a7x/N31/z4RxQ5zXlxbLFOuCWrkRxWbuc0iql0zYlXEA7TO7pjNF1IU2sHNFrpIpSSfHoqRgvjPnop0Pe+5EmQ+1beSJUIU+KpuIxS2xEdxexiAvr9SFuSgJ1rEIX9HnK3qC1LrKbRQpf263AK17CT76ly8ETAe//lNXioEiFZKBtwClTCgYvC7Dyk1Uawa5dacFdShZjMjYXZaBnQWWsfTiS+LEyJv9bRU9vTnKM63GxLrhdYI8c0YLaRwlGaxhEgn4kCCKJp7X9cvk4BVvfMbqUrAH4GMiLD+h8qJETn5Uhj9cmjBfmlBVppe4ug8xsi253y0Dlug7akSo5iB0ml2V14OhjkvneMcsr8LEv1VgZ5uC2APel1d6eGJUnI581J4f1Tohz4FytnYPctbtG5Qnl1ot6rE5cSpRWaO2RpB4TQcqbX9XjE/fWWOookDFoRYzV40W3j3DtQvcDrs/kNg9UJoXy+pQ82DQZixeAznW4YZ2VOiuVNXY10QWJjteZOHLXlSnj2Mue6+zv5MfUy/5dKcGrVT2GVUW96hOGqgDk+MkZvZLG9bYD4PwDiHXALp4D5OsBW4xKkxH2lmslSfmeC+50hLVL5s5Zu2Rvv5bw6a9UePCpKtrR3rapIZcno/UmRWuWw97udx8PntbeMvYsLLRSoow3Q4x0lBtpNx7IfPEk9fF0ws1XRXznC3v85WcCUNYQNkIw1B5KCFs37XrObjmqq8kdH1zlPRK5Ds9rZ6RTKCZt9ts9f8ZktSFOS6LOY4GcrYsqwLEy2vWYW6zFnfs8zX4vTu2/2+4LvIrAm5mQiFQxNWH9U/2c+1WNXU3rLCPrSZWRaDm/CHJA48gSWQJmvBXKBXbpomSvlcHLRoxJmTkm0mS6Ogd3WjomUpe7sUnrnoR+zJGTkj//dIPzncDudy3toHclKHdsGIsX1uhu1zVah73HbyOJHofZ12y1mO97NNJ1b/fPsY92+5ON9ZQf/s4u9z4VcuSCBBEDCo1kIKSziZQFVQ5qMXIVumUa2f8X2czsPLhsLuzzHMy5bMlXZvuzfPZ7LlPK7Kqb/CM/huuxOVCk7sX6BzM/hsNhytKqBqXxGjVNEhmaNTu9KknKvX7cjvmRK8q5skYAPg7kNQw+NtzH1dz57xT11Q5zqxzwYyAvZmSPP08L7Z2zuCcd3S1TvMwWDIKYYar5ww83uefRqi2El57V3lLarh1Rzl8pPmu+srjfbx0md3EuRs/HWAazdC3KPd7HxpUVmty2m+ncUUk1ifRQicfLro/4ibe1+aU/DBgmWe+hliSZqyK1cD6bBfnICAdjW9JwPp99LZzYIOuuN2CySWe5rSylsUGnyJ0Vp+nBjGNhNLPJ2LEc1+RrzY1sA7M8+aMNaWro9BI6vYSwkuDlswb9zJkASNPRwpuRi2adP74uc+MAGp7DPXGlyTrs7ew/L9eTJ9IU3d5222ztSBRn7G+ut7MZ10VwKRP8IOHLD/t84p4aw8iHqldo74K95dqhPmtKYh1Z4gLaTX6txzglkwtHGpTFV0blVYajteKplkhtpUoO9CTxqNYS3vyyPnfe0+cLDytrGyJBSGLh0ceRkpQBYMHWMvdYjPPZbBha1KVkzGwkKPIyVZO9n8UiGdDz82tEWdkos+XbnWZWAvkb92+WcqUsNDAGdGqIE02SzYlRSuD5yu42FgbGziJMRfZB156TNd63wOnOcEFuRtnbiZrzghuXsdcElVkVmhoBehZk5nPxhKO9i0moJbA9NQZ0VYLby8Ad+DGrXcOn761x4FzFShNhS2JFrr0FzgQpswbc0jkO5XK7hhae82a9cFFYcuMp7ALca4YDlTUqUiqkTpHaIx567N0U850v6fLgvoBWlKVftdXjEYp8Hwi7Z8J4S1v52Q02uVNckNIaEipraSvZPJcqWcJHZDXkBdCdsl1R5I/KxJh08TX6uy7WShyKnBKKm852jUi1YRhp4sSm7r0tGzrUgy4L52POL4WlJBkT8q72Hr3i3Ctv/cAy92ALW41cnph1gszRmRsluHMfvAwuZTGYPQe5GQN3tjOB85iD2/cSNCl/8Zkq7/14AyM863uPsDel9h6xBtcCfVS+OSD/BnpxhCVH9HfO5Gtb2XSettcanUq0tL64kpo49ZFK85Nv6nH4rM97P+ERJyXINYKhkCidD5LIwO22thWgznQGdhEo65RMWSuSA11YIMv8PxOZVDHliAmyGMAUUlUU4CzzJWYU2NlnKzElitqYtSujtWfbfcP55ZTUS/GOneuwstzj+NmYJH2OKjDnKnKlx3psPuokmBGwF86Do71HHgspYApmL2fi2ffHHROZg1uNyZOxPetVtveM1eAxfhBz+LzkE3fV6XZ9qKq17F3UfDsxgSgTPCNybOx5DvJvxOGm1ACOHMi1+Og8PpM1HRRAd7dSl1aLS+kRxymNesKbbuvxua9WOXwuSyrYsJ5UCPp2rbGfUWfgNiXYTQHqcoxfsYlNIUmcwiph2VtlDFvKkxLoQuSypUw8lfrbCTpHVkIzQqQunuxkq7IExPMgDDx2blHs3DZkeqaH9+j+rSws+Bw5eJZdWzWVwA6nHKnrLZj3uf9YKVHWgroc51UCv2RAM2YNmmIcmHJYPJ9oqpQd/FgOZnf0t6O7pSNLpMwck4zJPS9hGGvufKDOlx6r2uHg0rcAH2PvvMhLCTEaDJN//rGcgXOBf7O3gs2L1L1TNaetDefuIK2NyXS3LmWKlqRColKJFop46PGqayNedXOfU5/1GWqZ2RrSbu+Ix0CAzEtYc82Q2SAmq5VWBY3ljkqWLRQUwEeIkuwNBZClHAU6IhND43XhI2DP6MEd+7YO4PNCvXwFsl1ddle+i7cH3HTtBDPT03g3XrNt9fChweda85Xvzstl83+4nH1hvg6gx69EJ3OZFyVRAnvENXF0dwl6h7ELYOdAL8tGXedEyrV629qEqfM8QUrbqSODhLsfDviNP50gNV7pnEiFENLuAyTKtPwog7uOz/rsPQLurwf0sWTPeMrelSuafOpVVowlSkel0OTSeuNCeySJJghSfvZH2hw47XH3QxIdiAyy9gvEWpHNEi4/UBYPoETZEJB9kdILz7CRf95stc11uMguAE05SsJk598AwpSrWy5PoZQoa2M6Z0qXyIv0sotI2JKBcsU09KMq7cHM56b9i1bV1q1bu8vLi0c8T/6EEprQF8W4s9KSc6r6RkC5tupP5W1KTuWfjWjHMpKyfCz+TrF7mBtAjiVzshrvwhbM9bYckyYjNmGe0LG9lqeXBb/x5xPc+1jdbsojbTsa0seTgqqEUJJtcmXW1m6P3LMG6GJIzugworzmfaQ23j1mwi0kE85Fb9Yc2+K4O3MA898vpJ77MwOzMwmhZ3jwyYDVvqM/szAznyJeVhxmLGpc4H8zV6tzIYzJr+KR0QpVk+md8VxA8XO7TIxc/Pm/7zpQBetnPntYCVlaXv7h/QcOHPCqoZ0NoVON0SKbI2IbCFyAyuwolGw1HgzkxDDK9tLVVWMe8qj+drfFGJUmclxz5yzuAluutQVtYJmVwmbP0yDlzz85wd9+pY6pKBDKolN4CClH+i3L/sav0zHvaMZRL2sUF+7b7gnCPVnOD9xAc3R+YRZkZvMDTcbcxuiyRkVIpFakwkP2U9788j7PHvV59/s8ojAZCZSM9hlmwZnQmUxJnUxl7jVn38OQZTczds8J3+SyJWNaI/KAsnRORF5n7hw7gyn98YK1HTnirIgl7sq6FpkHvwZEtnVhb2DdFKM1Xq1qv1yaCNLUdqnknTPuxNBxeZJLEBglBTcItTrVAfh6wBal5l4P2AWgRQbwsT1jynvqAN0Fd4osak5SvvBQyJ9+ts4gzabgi9wazLKWwoxo73VT8y7Q3eMyHniOgH199jNZcJd7z2sympg1JbRGOplN6TgrQtnCLJkVZ0lNqj1CX/Mjr+9y/xMBX3jM2oW5N44UaOMx1LYdjRzkI9ahKGplCzYVAoUh392vAHne9JC7Ki7ADWOavNTWzxXH5dKFkePqyJVsfIVRJuvLFPS91PaxGoNXDezWc6kypImVo7lsWHviSn0E611Zz/HecwB7BOCuPeiCW5Q7e6k1OnwdFnfZW6ZlgOnF9Ibwq38ywdEzIcYrd0se0d65RBoB9higWQfMBYTzAzB2kNYBuWsTFszuLMll8ZWrx9fWpmiZVRxKl8UVItUI4SEjzUVbY/7zj7a4/2dCOoPsy2hZfK4Uj4HJUePUwOYXngR0BmpD4bCoTAsbSbEnsBG5DjdZIVRZpTrC6I6Ucu1VVxXkTL42wWjXTC0MIt9IKycklZBkuzp7cxumkVIx7HfotnvZhkNlgFiclgLY5XI1cpWRXXkjrObOyFv73mhiZz2Joh0f3OlLFMYBde6UOL53vjtv5nl7nrVAf++jDR7bX7Get8yZu3ROfDEqS/JH90IfmYHivE/OPKIcurkeX69h8jHnpGyAKDN0JhvlsabaUFgGL4JOLS3IU4kW2T3NpIrWXHdZzDu/t8Vvf3iSKM1YHIqoMEUx1LkWz4pKHJAXEkU4lSoiS/poh80lCJ374Zb5hWEto4+vfsKUCSAzytrjhy1X+vl/m2RFXMZopqZrTE407Rblt774NYSVOqePP80TD38W3/ef8x91z48YAzqMftBxVl/roIwCugT8uEQZ3Z+xZO+01OVuUmfkngWWlZQvPhDy/o82aPV96wFmnjdZk651TsqspVswpEY+91r9XVzsI2GZKIO28WM4xtpr8D4CdIObACpZO5sKm0sSNwkkrI2YSoU02tarJIpmRfNjb+nxyDMhd35NQS2hKBwBkIJESwbkMUUJcoMtjaWwLa3nnasXI0SR6TS6BHEuX4S0mdMRFyWTLS55lIueKZUSY3gcP2jOxRJFMTdcfz033nAN7XYHz/c8fM/D9yWVICUIVHHBjhcEFREv4390TKM72tyd9u8CezTqLzczcoGdJ3byDY9KsKejfre0VqAs9lW3gaWUCdJL2H/c4/dvb3J4KbDBhXC0d1Yx6GezTgpnQ6wTVMLo98QBtivP1iMH96A5iZ3ifI3p7tJZcMpSxz1ys04hltHFprIilyrCWKkSG/ZMJ/yrt3Y4ft7j0BmB8VyBJUD6pBnIGQM5WRJIFSg0DsCzz1qsZBn4x/V3vmK7SRqcn+eAzf6b9Y7deq5Lvp1JHBmMUHiej/J8vHzcg68MtUpCENhlK3W31HA6PJ7rNpLdHAlK125x4W5zMc7aLrMrUW46WsoQbRM9a5I5JdCVSpEyIQgTzrcEv/q+Jp/4cg3jqzId/3XYu6z7XpuSHwm0RXkyyuPgrGrCOTHO74wcxjGw5++trUlxdXgOaDcAzTt/LINLkT/Pgk+hSVKNL62r0hpK3vVbigurAkKXbgUGr2ByF+RWhmQXnLR+vA0qsy6fHOiZN51Jdeubu9KFLJFICfS8WqAAthg9fMY5Nhr3IqfYb9QAcWRIdXZxGfCUkigvPB8G5o5NG+uviaMWqfZJkny/RtvVPXKQx1m8WCbcQLNk7JLJR5+PB5XCCSjHJYoSVorY2eW61NlZplJmrol9bmtNIjSfuq/OFx+qZbUmqgD2KHuXuwa78wZdt2RNWayjxXF+tkYrPtey6rw36pw4qXoybes2GmTMLTM3JSehVAiEyBI/mbMipUQblb0nEcZWHIae4dUvHPCGF/X4wOcUUSJs2jb/8BIMPokRDHQJMSMERXdxxt5gAV2k9wtZIjI9niWBoBgKZEQmY8gY3RiHtcXocXMO6ehxMqQm2/YwhUTDINLMTs+QaHlHrRqeb3f6qHf/37/Dz7zzktV6dbhaCTo/oKOzSKlKPSlKPVaecDPGxE42cqR/0s1OuuWueZ23Wzg1VmdSNC5kssQph3WZ2+2I9zJwe15CKjWfvKfK//neCY6dC7MmhjKhY2tOBKGEirSD7L1sDFw+W7xM5pSj4ax9WA7mL6bcCpBSUmyrIkaH9NuhSHI0cZM7dWsSaU5A69agF+879qW05aQyT3+vmVaQy4WykAltmG6mXH5xzKl5xaGTHrqICB2NgMAIYbvfi/hiTEeMXckme2pG4CnWXN9u3c14UqCUbGLkos8DbW3sBLo0tR08USLox5L5dsr2PbupNJv/7q6HDj/wQ99zm92jxy5GhsDr06j1UVGQ/S3PkSWlReUuGSWD2VagUdek3KOl0OKOHTgSWAo9lqbPXis9IlHKANNh7iygzC1B3085tih5/8fqHDgcQkMVbkmR2JGykCZFnyVjtenjzO0CRzrWFjmARhl9LZOXUfp6yR7L2nos4VO6KLLQnaPpeynsVFUpTOGNi4LZJXkCTguFMNYbj4eGyy5K+JE3dXjoqYDjC7L8wjrX41aGJFIwyOOBPODMGLsILrUdvp87KrklmN9l/jNM0a+Z3wtHJZMyuZMycoTMKIOn2rJ2kgqGCXQiwfJAstrXtPsJvX4CZJtQefUXImQDTEx9+DiIgDhRJImy+7Fkxez2YJo1mnGNY4IDcFeSOKAugO48t6PK9JgGz1+vBXcZaKYokbN3ynJH8DsfaHLX49WySrAAdilNAsnYGOTS5lQumB1ZMh5MrrEKHZB/sze3u348NT1Sn0Kme4UpZYpwwO9kOqUwhUdswW31uBDKXkZCk/Y0L79uyL95R5v/8ieSlX72OXJNocm0tyLJmTsPOHN3pWBzN+DMLgA58rWyBJD9mcwALeSok2LGdPg47RvyqV/5TEIYpoLloWFAwvVXbOG7X/4CVto9/rAAeGU7QXXHne/6/c//hhhueNfbb+tQ8Qw9B8g5UDU5a61N+owDuwSzq7tzKePKG4ex5ahrYgNKUzokQhesbWVL/txq8IEw/OHHG7zvow06RbZyVHfb2X2lczJSVFV8l7XZyxGmdoNJ5wyIfITAN4n08e5610UxDuBdNi/np4hsIH058k04NqLQ0h5fY6cFp9n8QiE0qVaQGhp+zE+8pcOFJcXvfqBJf8RRERnIDUZ7JDKbXy5EGVBm7J2XzhYBZ/G7o2xeFGXlONBOXOOm7HGZvLxpF5PZeUgSwXSzx3/8gS6vuunQb1z0wh+4c/H4OXutAoS1nbztx361d3BffKyzuoUzF2bp9EOSVNmCF4eacskxEoCNpdZHNHiRjXSDxpKVy1R7ydIj7ytHc4uSuWWR5MnsQJmAp3n2iM9f31mjHWdFNTi2oFQW4GTSpLibUtdmWcx1M5Vi7SNjvztynL5JpLubm45as/kQSsfJKi6C0V1/rdslR18Xoyby9xQma2/TRllmjhUNz/D9r+5y+SVDZJqAye46f0zBpBhtSAwMDUQaYiNItCA1mVzIhmEmGbPm8xXtkMxSOxePxZbcJSMXcxkdl8QNwF10C2Frpiaqml1Tii0Tm2kojp28+5d7l+/ZAjmDA/ziT383vh9y4JmvsbLwIKFvdW+uvQvDfSS6HUvk5OAfS96MSBXnYhAZO48mefRaBlf5e06WMtPfue72/JQnj/q889eneOpQiPFlKUsKBpeOLWiKQT7jOzWsZw2uJ1NGEjtFMO4g/Jsj8XGpOeaLj9uFNtgqlnuHzWWW0ZTCgl0YEMagjbQsbuyELKGtN55iQBhEZLjm4pj3vGuVn/i/BE8dzoITmX8YUaIrY3JglM0zfV3OY7PyJWdzqUunJH80xZ/IZo3LMkMqcvZ1b2POSj6Av1ozNJQgFi+gtuWliH4f+KWSwQG2b51k+9YZdm5VTDUi+13y+mOTp3KcPzCWfi+YvACwLmtMpKuhHU9bjgWV+V05TF48XwvuPKHj+ZqOkfzBx+s8vi8kVWPJnKzeBCSeGGtmcF0Jp2YmD4hHg8uxsRAjYC8J4OuUn4ziegzYLsKLUlGH1dcyuytZyrmGOXvnk2l1MdNwdDKWtRDtzhEilVx3+ZB/+aYuDZlCkjrsXbI4JgVtJzAMCzYXxBoSLYgNlsGNGGHzNGN6l8W1y/TF7zkeN873HyGSUZcJYLmjafV9gsoUKpgsfr1g8CBQeIF/eGbaO9KdCvb0+glZzmpNgkeuSeSUdqCQa7W2y9DFczEaUK5lblMAW4743ilSpCiRoESK56f0NLz/E3Vu/2KdYQ5m6bK39eNkRky+MIVzsmafHZe1xxnbcchGkzlizeqGy+bfHHmP+N+so8MzOTzC6IUGJ2Nybf1wmbG6MFaLS6mzTKdBGIMw0gagZGyeGgJheOureuw74fH+jzfoxtgDpjMqzB8xgEeqBVHek5nNiTA6Y++8ISL30MkDZLJKw/J4l0fMDu1EOswrSkp333PeJkk0KmyAXz8ShOFhOYhLrOZP6s3tPPvk/XesdGc/2I23EUVrU8LFTg/5gwtuOeqGFAkbl6mFHtPZLpuPB5Zl4dQ4uAtp4iV0Injf39b5v/64yfxSnqHM2duVJ9arLmacMN6hMxZXuCW/MCpP3NdjrD3yM/H1wZ2jeo2+dJwUctDnWcYRtnbOT87YOD/XAtdZMSO63OrwcrtCjyRVbJrR/PyPtvgXb+rQCJNshkjqMHlSMrmxWcPIZXIDSabNE53beaJg51Tn7L4+kxtn4OjIMcmx7ZJR8Z7m6r0b2Ltz8oNfvvu+Oy65aOtaBgfoDmoIVfuMlOqN1Yq6FjRRrGwSAAowFznY/EQ+F0uPpd9Hfidn6THWFk4afkSaiBLceX+lrBj+9jM1fu2Pm5xf8SEYZ+6SwfOMZcHeTs3JuOe9vvctRsA77qCIjIH+3h7hOIO7JRGFVMk4fd3UfZnt1EbYbbRFCWxhSk9ciIy1BYV9KMisQ2MQWhEPDZunUn7+x9ostSUf/HQDKtnSoc06TK7QWhIJq8ODzMb0crdEmqKv02RcbjKdntetjOSYAJnLr7zFzTnuI6yvYZiAkgGeFI9v21D9TKszekxHdPxLXnobleiD985MnHu4Xu8hREqcSOLEpuwLvUceYI5KjjLdPgZul6WddLvL8iO/M5LEKZ/bn2fdOaHm8GmPv/x0nXMLDrjF2F1KG22L0jnxsoKh8U6dEuSmPKj5gjXygrJ+wsX0N6dKCjB/3Z873veIk+BeCMVjztbjrko5MMg2K+d9nKMbzeaTalPjoY0iiSSb51Le8c967NkeQeTq75zJ48xtScHY5FSsYahLTR4bMiYv2Tx3TfIdGVJn/uL4vfhOLokIS06+EngKUqNpa8Hh+f7Dv/h7n733Fa941chx9MYP7Gcf34YUgseeGXLZZti7xcf3NYFn2XVUfzMCbtcqFC47jyR2dPbc/Zku5IvKngsniVMyd3YPNEfOevwf75nky49UoOKAW47LE+t552MgPCeVPe6crKn5zh/dwUXjMiWrJMxpZeTCGP99sb5Lkp8+dy8c98SW1mBZh1Hqb1P43/I5irIENuATWmZJIonQOUkpsiR0dmF7CCDtJ7zyhgG/8s4Wv/CeCY6eCyxD4DC4FiMUaZAkxXOnpj1/jSldEzLPfGw0hcsAGcEX0yzIgkqlBIGy05Cv2RvzsptjNmzZjjGaT75/FM9rAP6dr/oePE9FCxc+xsrKCVaaksk6KJHaD6PK312/fnu8KlCvI130WJCpC+0t1gV3zuIJytccn/f4xd+f4PY7a0TC9btdcq8TCAAALYNJREFU5lZrA0uxfiPDeFPDiL/tgNNlETHG1g65r39zfzhG3zngBWsD+nzylbvx0+juyLnbYrIgTmSBpJUrQmQZT6yFmCd/8tnjhVQxBq1VBno7JKjiad72HT1SDb/wexOcmBfgMwZyM+LpGQSxEaTCTnwNssylziSLEoZyiJCw2dCxcXEjAEcgy98m3wQ48KFRl0zV68xO7uL6694c6TQBfvbrA/yyizZRqdV+5lW3XnLFk08svzxNe3ZZMc6SLEeDyhFZssYZcYqyCt1tf1YCPHXYXWc2oB5h7jwNf2LB52d/d4KPfqFGlO8rKNYLLB1pIhktg+U5qgZzFnODmHGwi9LvXiNP3Cvh73kbCSpz2WHM+pIk86bzn+cMvt5kWleLa503F0vy5t0C5DnPCkWWriZJwFcp3/+aPp6Cn/vdSU7MB9YeybW4YEyXZ03smWRBWB/cL7yhrFlClDUqtr48S1vmk7TyfX60XSjcDGYxgcAYBkmTvrnsK0F11890OtGa47rGS6/W6zx4/5fbczP1A9MTXup5jueNI0mEk6l0eyTdAHGNa5L73K6+dkDu9FHmzG1/J0F6KWeXFT//exN89M4c3KNaGyELcIMo2Fux/oyTkUYMRiv5XACvp8dHAszihRn5nb8PuscDzPH6lOI5wqmHzojH8Y31CMhH5xquN+ewHOopySfWFtlOrUhSiZfCW7+jz//5zhabZ+JRT7y4Z7pc5z+30ikymS431mEpXBbHSXF98iTPbuY/y/MxBicnYx/T1DCMSBMTHLjjji+2m83wGwM8P2H9fvedXlB7Mh+sopQem1XizAUcS7W73e5WEqxNwee2Ydkc7ASXRdYyQcoYpTSpJ/jjTza4/fM1IiWzxgWnkKp4XOt5uxlLuc59pEgsJ6VxB8VB+HPp6yKTKcTfF9+jq/OapM5oJtNNABWWIGJMezs/G2mSsMkfU+z54wScGcjT3D40mZWYSrzE8LbX9vixN3bx0jSzD0dT+SNgd4NPszb4HA9AkzE7cY21WLw2pCmk2haxNJuNJzudzjufK2hfF+A33fpK+oM43bxllwkDQZgFmb7nDNlx67adgTvKCRQLmTI2Us2Wxqal7i5+3wV3prmVBk9wx71VPnRHjaF8Drckv5NJE4mzr85zs3duC47styPGQJ5f+C6LMwro/BfWlMl+M+B2fnGcuNc0QjiZTEbqUxxW1yW7lzsni0J3j9SqGAfsei2Dm9wv15JQG97+mh7f8aI+ItUOsJPnYHVN3mqTmjzzKUZdloLRS5C7gC+f23ucZhu+xrbsYO/ePcaYNH3da79j3ePrPdeBv+nmW4jjwYeeSPZfmgzP1QNfFzsDu1uDjMqMXJProtZkPLgs3JUsoBwJMKUuyl5tIkcjPPi7eyr8zO/+v+19eZQkVZ3ud++NiNyz9qreu6u76YXuRrrZlR0UHXzCKA+dc3wyOi4jo+KGozPzlHF8ijquT/HpG1zA854chIMwjqMgYos2a9MgzVK90As0vVTXXlmZGRH3vj/uGpGZ1dVNQ4O+e05WZkRGRGVGfvGL736/rQ1PPpNRCcPaUjcDuaQmAUmWPTZ6N1z1xwWxSAC6waFjJp92LpIItGoC6kOCO+XGTJeRMBm7cDh5s/gUrjd1E5RF4lnzcEttKIiamHIVVcOJXAcuL37OIbmxeiYxsHpxiK9+eAxXM+A/7s1LPs7Up5ayTuoylf5MIWTRT670ci4IuLq7ciIL5ZsSFETTMGEn1M75EMrBNKuvY/LEE9fdlM/nWp5j2uqNru45ojL82DcX9fcfLORqyGYiZIIIgScTCnwvhm9a8bltQXT8SGwsOXOph0tXGLec20kU1kV8iAfc/rscPvmtMp7cocDd0lMpTTCl6fxKmEQG671sDeCESuLQkzQfbwbgtB4+rdYtplmfilFJJEDAUpVE+WWjmztx4ykrrr2fPGHNacqq69fWqseCgcfSivM6wcqFIb74gTG88ayKNKtpS84jy8W5tu7cgDPkjjV3LTqXr+ucyEwdTlCLgXpMUI9kYkMtkh3UxiocS45bdvC3GzZ/c/68OS1PdUsLDgBdfccjrI9i4uB94NFEoh6gnUy6EYNW/05GErpat6ORE6uWEDdxgXHAA26/N4d/+HYZm7e74G71oCAqiCpJTRzurZNWUilg04E9gdmU5W4SPOjsMHMe3iANOgqJWVYyobFiZjvXmltNXHYiTltzbbllwU6ipUO1Htz5SgTKkjPVHpDZMsv1GKv7Q3z+78YgBPDzhCWHfGG83SzxzWTxCDmhFES27WQE8AVJKF0ekRGGHpHXkEcFfCb3I+DoaCvhVWuWobuzPO25nRbg2cLcWhyO/22pfe7NlZHHC76PROwIoVx+XMNnuRM6mwI9VZREWXBZEJ+DOODWQIdH8B9/yOJT/7OMJ57JtPBSpikKbAKx8lRqC95U6wYaKEliApkCuwG5eU71ESV2nV08NMS1E6OBnqBJjIpxiLj0w+XoVlGxVl4HXUHJhMI4fyxtkRabUBgNXS7L4C1QVVJWMFtDpQasWRTiix8cAxfAL/6QS+jhaVnbIp6ZDbhShGIBREoh9AhJyLj64XELdAaBJf3zJimlf7t00azaEQOcRwd5oX3xg8y7YGxf7fECI3UbvupaZxVXbH9YvR4GzCTBv2Nr6R3LTRiHYAT/eV8WV3+jjCefCWSZ16aWW1MUyUGYstxuCprNs3Rd8ukEXkcGdS23A1h7ATQ2TUoAPk3G9ZupdU1iiNQbmmMmrXrDZFMkNXJzMRgurnm2cHi3MFSFAE7eJoXuviEBLyMOoRxCJoxRKUwx0f9TgIQcqxaF+PKHxiAEwZ0bsoiBJsSXw5h4ISDdqEpMV9n3sXIOReoL2bggYix6QAUCAuQzGbztL88ZW3P8ogf37B+dri/g9ADP5PtASDAYVaqXdfa96p7qyG98z2OGgsCEwjT8UlZ2M5bdoS5p9URZbsEI7n4og49+tYyndwXScjdY6/Rr69DxkKQmGsA2Q8fRvKex5M25eCt9mzTq4jj8ITAd8NF0Epqw1MS9EERLK55oT6gtu6It+gIAKIiqc6jRRvQcElKPJmByZT3G8QtDfO0jo/hABNzzkAY5sR+S0ubfVCjfhbYCTkmSOHE25B1nigKIYrz9vHXheDW+rKezPFgq5qc9r3TaN2kGYWULgsKy5/Ltq7cXi1kUc+Mo5iso5KaQy9YQ+DV4Xl1Wb3UDpIirbbuTSysF6lQzwjiER3DnAxl88MttGNgZwJSZagC0Z4Ctwe2jcWLJmgC9eby3aAF0x3rr0+yAPH0xTDf7nLFUmIaBmTgm9XAtD2pAJKtdyW3tRNLKijwF8HRglplYttDIrVaupUM5+RR1gmULQnzr46O44NQqmNbJE8kS3C6boK1UAJdxFtUBXgOiKlCbAmqTEPUJxJOTaCtlceYpy7aftLr/uQcf34Vcxp/23E4LcPnrMIjx23b6dPI9QfF4PHtwAhs2h9gzXAXHFDJBFb4X2qI7jvxHiMu7bRw3UQ9GOFggIDyCXz+YwYe/0oaB3QFE0wmlBjdzAA51+0p2ZEhUzWpivRtDYVNyn+bczWTAaa21SLjxte05JLDTyklKNTHrDNDlnVOqJc1c/CRFZxpB7Xo601q5XU/NepsBZMEu9DpBIWoEy+aH+PpHR3HeqVVQXbREcAXiCIADaqQ08wTI60BcA42qKNIJ9HcN46zVg1jYsR9vPH0BpqqT77n+5rt2eh7DoYZ3qA2C/BLUquPwM8Xn/7gj+7uv/HjbWXfeX8NpK2pYtWgKV1xcweJZHFHkA/BsUoSZfHJHVYkVF1egzwjsOuhhw6YA13y3hIGdAUTQSuNOxpkAlndrWuIRmMmlcbvTJtYbTcJiW0mFsBskcjGbAN1Yd3Gos9oc7MajqQ4klBcnMRFNKCN6vUNTdBkzZlUWzmXcibT2mosL850s8NVBTK1wauaXkpcTaXhUahERNm6FEoCEHCsWhvjmR0fxme9x3P9IBrsOekCgviSH+e2SpExHaukvGIFEdRw3ZwpXXDyGVYtCrF0S4+GtPZiz+LjfnXrShc9PTU0gny8d8rwe+hIA8LnPfQHzV79+aLLeOT6wO3/5hk0HMLCrgD9sCtBeDvHqE6pghEFFsDuqikDSoaO1cAGWERjY4+Pz3yvhGz8pYtc+X9YObOXA0fq3Qi4hMohKTyxt6TU5YfKIsEkNNCkVuheAqS7lXgymOpXazsSo6Can6jualiP6PV3BSi5Tsw7Oa1srO0GNqOuEmsEz7OfRAXAuzUpf0KYgpr4akZQ603q/Cf911CVzMRN3X/d2B5AY6O6Mcc5JdcyaFeOprR6GhpUFSgwts7gHF4bK5GkdV142ik9dUcGS2T4Q+1i+/AIsWrT846L29L1BYeWMDMchLbgerzt9MeZ0lx4M49pt2/cOXbph03aAe/jJr2t46/kVHDcXKevt6uE2I4cQAZoFtu7x8NnvlHDLnTlUYwpkpvNOqhk3sReQpz4807EmUJq307OmIVOHWKdPoq043B/W/dHcH7WxFLL9jVvQENLwovVw5uvpG4BIqSsita1IWHmbea9jqWUtQCf7XcA0jNI1TbiAtNyQBfXBOYgqrA/VuyZhzZVubkiu1jIIQCOOvs4Yb7+4gkwg8M/fLmPbHgAZbaHVfoTJDwDYySaRSs6C+REuP7+GibESKhUfLHc8GDv5tsn6ugdFPDxT2M6Ag6uxYH4fHts5vPPSi069avnc8h2rZudQCDwsXSBQyvkIowAxZwbkxIBc8W6tdwfAtud8XPOdMm65K48qZgBuJ75bgzugqpeOUUosx2YNYEbS0rk0pOHZFmnX2G0a+02Sy2biOeNT3wTJCVA7XkwNZHX0RsUlmW2V5N4kxb3dmJWkZ1M7gtyArUQGkKOZ24cTmOXw9LhKkOECl10whc9cOYbFc0MZP8s1J1cP6ZS3J5h4ECzA+GQeT+3MY3yihOHxOQj57DvKva+5Kus/u7PUPmvGp3hGFEWP737rqzj73NePrls5d019fP9ZQTyES8/mWN0vU54EdHNRkSzuw2LZWydDsGOfh09fJ5MVaqBSLZkO2A649aQyUPTEd/i3ph6eArrpXKYoi7uN23uHKcBbKkJso1qHv9uCm/Z9l7JQQ1kI3OakhrYklpsoOsQeM01VzF3G0BDSlIYkJ82q2CZtchE7E2+7LCzGnLkGUvvoZfeCtzTDvkGIvNICIrBiSYyebo6Nm32MjlLI/uAECYlQiwjUB/ECxFEWvvBRCooQ/kr0zj/31rHh525t6z7hcCA7c4qix/LFszFv3pwv7n12x+IlfVNv7e8hGBmjKOanEPh1EBJaZ5aiJSAcdUGx8VEf37mlgJvvyqNOmJMP1sxDqclxI7glJXEkwYZmUQ4laQIm90czP1iSSjbo3unXCQ9oaszAgdkwhGOWNdMzWS56naYhSDp9pPPEejK1vGJoCMxhlCtfTTaVdAg1gTQURGnhoBwUVO3DrVdTN37iOnAKsk9Oiq5QInMmA0/grRdOARy47qcFPPJUBjVBpCUnBKZ3p4oULXgEPRlgx64SNnV14/w5S27qnbv2iwf27zns8zpjiqJHf/8i3H33PaPdPf3vWt7v35vPUURcPrjqJWcadxIO6nFMgeCHP8/j0qs7cdNdedQJdTJxkpGA1jxSuHzCWG7iSIJQFhp2gpng3ikPpVZOGuRCA1qSoBtw1pvXMzxPh43x1A5pedBd10xCbExKTgZkcdF4YSTkQ6SpTCqRWceQcxuk5ZazSFIbh64IBh5R+LEE+e3/OowrLp5AgcSqyk+SojBCkFH9SaOYYv+od++SxYvf9fv1vxnt7Zt32AA/bAsOABdd9DoMPr+xIsRF9cGdN4KJmrQ1pryEnFT6mRiTHPjRHQX803dLGBn3tEShbk+utSZNAK9vYTaKwSO2UZRruQlJWXGdvJCmAA6gGm/ZSII7PaPU76c2bApmMjOQG2kw7RR21mnAQsegEJEEN3ECtFygO8AnjjU3VpyIxIXAAWWdZSsUGa9C7URQEFXSQRjQ63Q14j6Dg4MZS88hjbVHOXpKEa69chyMATfcXsRknQBBLHPTVFIyBDBWE5idacdb3nxxfWAPr5x3zgU4knFEAAeAtq4lgOAPBOKEM8b2PZ+LIvUjEAHGYvh+hG37KH62Po8vfL8swc00iIkD8LS3stENn9C7YSeVrrcyWZxHJG8G5j1hAOoqJ24wlVVGUlQEjoVP4l1dDM27qxH3inLxq4DZgOkUsJvtY133EuxmZwP0pOteAloRHpK04irMRGn3wr6v2hMSrqQSymVcC6iiMQ56Ve6kpisUAAgHV8FZRMW9yM/G0VGM8S/vHUPWE7hjfQFbD1CA+AATxsMfswBnnrl2as3xSx5g9LCJxgsHuB+0QfDRf8z3vEE8v2fPR6LK5qxfkvHhQSbE/U8yXPNvZfz20TxqEVOTSV0tSIPboSJw11mT6lIT2wFNOCpJ2nK7gToOkNWJc/m4izuSQLLLuZ31KWSTJIJf0BCp1w30wwU2SV4Mxqo32RYOoDkImLAg12DUziBKZTaQIa4CtgiPzv8EjAOIcw5CSSPFAZUGmXBwqBIVRGb5A7LNSkde4PPvH8PrXlPDNf+7Hfc/wQCWhe8LFFiIs07pr77n8rO/Tj36T11th3botBpHfmkAILSNb3r4kWsq0ZIv0czCOvNi5DI13P8ExSeu68Cv7i+jFmUAT7UOMXVL3CRhRT50Lw+HmhDYACpDTRxp0HWUJJKIKRoVCMfR0VR9cJ/Tr1MIbMB00+WZA9/QlKZvNHkNmJmottgQyUlmujinBmciZiURw5Jy4aez9BNFO4nJA7Xd3RwXvnAfuuiQSmLmHmLuIwx9eNTDRaeE+NKVwzhj1RhQryKKOFYfN7t++vG9X3rgDxuu6W4rTRsteKhxxBZcj9ldQ3VOeq/NoqM+NEg++28/D+it97Zj07Y8kFOgbfgFNeFUs3WXsiiyQcyEEg1eyAQ1SYBcd5Fo8gASdARIArmZQpKw6E0MeZra6AUi0iunGe62Lg9PceuEQKKooEhtR4RwrLvtiKYvUN0YSkfBNmjtwu4rs9SI4eWShshGs8QBvXQccWPBOSwdkXEAsjsmMUFf9oyFEUDrHKetiPHNq8Zx0z113PHQEt7V2/fZrs7er27bO1KfwRmcdhyV++vOLTeipzOz6hf37nn0Hf99E5sM81KoNr+UUAE2zrNBlLbkbpSgrUZlYryptN6e4uIa3Bb8orVMqMsiu7p2ejvXNW+etc5tl80zgXHJ60ZUWkNnRPJOewzdkEptl/gf9vhaqyf6LmX+r9NUwKwX9jsnnu22DZ2j0+X1nPeTrWVs5hVLF2xKd+BIlOFLViUjJqzaXsnWohNl4eW92vc4Jqbq+P2OS+K9E8tflfEmN7/3bW95wdh8wRYcAKawHLnO0haWn3flO97U8Z077n6YToQEU7GqD22yQSIL+MQ1pq8zh5oQS01Mp7Nm4HUnlWQa652mHOpft9rWbGL2I0mLTez77ldxafvhDldMSUiCZkVjexMThGXuAMSaYjWrNPwcVulKZunL/yb09pAqio79plTzdsnRCaXSajucm+i0OKIagQt7pom6pcmaLEzWQYw1pWEIQ4ZaGKBj1hn8vFNXXfn0vqVbegr7jgY0XxgH12PFcafigU1+/ZILz7h+cZ/3sXVLOxCIEHkGFD2BHCOgOvzVOC80tdK/hJ6A6vLGyitJm9XxttbaOMGaWGUCB/xAa9oCkgC9eUoAXiTWu6P1PJPY951t0jmYDSOtc6fWm/d1XLjm2yCWxsCJUTH6uFtXJVVq2XHdG/rRQh+PnfhxvR2Hy9u178mU6jcninOKMPIQRgHqYYAoZqjVCSbrC7F/uPNjXbPPu37Nwkp92bJTjgY0j44FB4DT1i7Fjt174/f+tzduK3Y9NL5x969K4egk2jIUsQBGQoLJCDYWwVgc5xpTMpvOrXRBnY45SfYHSnZFS0wUiQVYA4dO4rCpTm4/WjMJMC2tpN6fwXlLOHRa8HBXFDEqSZN9ReIWoIrN6+hx4Vh/ZeVNHqeSByGsiiKttxK39ROl4NK+q5xNriprqcKezDB+Z8LPASXjCiFT3qLIQ7WeARcEPquirT2P3q5Xj/ul87ZNjO+Ly50rjhYsjx7AAaBYyGHLc4N3vOmCE/9uqhZ+/f/cck9nbXwMhDJUY4IIdUBMIYw5OFHVqYTKh3IUDp+4VrsxoIq1AjfSwE46exoARyxw07TE3abJbg2vCfTk8oVNa0SrlanDSueN8wznQlC0hAhLO3SQupm06u2c44EIRS+EmleSJiCHoiQ8kbSsHzDURPscVCwS4YhiCtmN2cP4ZA5RxNHW1oZi7/lDhe5TPwyy845a9fC9ldONowrw7s42AMCBg2M3vvuyc7yuHPniL+/8bc/E+DjyxSmsW7kPhewUNj0d4Dcb87LULrNZ1gASoE4+kpNK0gTcyVhom81jjt6Eojj/OqWMNKasAdZqNzXeh7gwGoZjeRtB6ujdGpQOxzY1gVLW3rXmGtfc4FuGUAj1/QyQiWoPDoCbkDl5UKq9mdzWlJAauOSGRGfhC1W+GZqeSHB7XgTQCHdv9LHp6QyCwMfaJRQHh4ool8uYvfQ1B7KdZ/99GIY3BplVRxOOAI4ywPXo6SpjZGT0B3/5F6+mHh/6wpanHu6Z21PFm87h6O2uYvP2SXziOoFfPMggqJU5k3HeDtAbEhZSeZawoE2Du9kEUzt/kNqmwfXewEmSz00xTA6x7IwGw2xWONPM1EYauFajUq5zDWKStO6CKPkQ9j09WdUfkHM5r5GNWy1PkqHgAoQTCEIhKNf1e2S4BedQznvISrUS5Pp7S1Umxq8e9HH1dV14clsHyu1ZvPk0jtkdPs46c82B3nlnfyqqxz/I5ttfDCgenUlms9He3oZHN/7++vmz2z5x0prZQ8fN9zA2UcbB4SJWLQEuOWcSWT+SHgf9YRyL7dEkuOVrm7Gjw2G1hN5UUYFjqR0u3gp0CY7ehI837Jq6O2D6w08/pnPqNNukYRsy7SFMzRTnfRNfnojzdqrOOuuE26FNEMSxahVuEpGtBKgnvYxxhCHws98W8OTWEmg5j2Iug6ee8RHTnqFqmPvEf/7qnuuz+emL97yQ8aIBHADOOvf1KGbHb5g7r/eD3b1944xNyRMUeSYgypgWQtTk0qafeVR7L+GUaW7UstOlkGkTS5tmFK56MiOj6+yo923YVk/+XD4/U7g7VMMMMd0zSWxmubQCuubCwpEG1XobZmsvFO6sT5R8S2fda1BzKqU+BfzYFO7UXk51XEiiAyYbhE3UYizsnz/eN2vOB/cemLjhkjddfPQA12S8KBTFHX1dUzwWxZsC1h15fOGPwsmBLI89CDdViVBQQpAh0j/kaZDTlNXW1houj26UAQE0Ug8yPZCTQCWJl+7ktelIKy5HYMMNd4Z1/ApnWTgcO1kDRX2uFB/Xnk7D61M8X2+meQsxPFwoFq66RGgVRyj+Tqk0TETqKYRIZYQQAU5ku3Cm3PXmg4IC1IOIBFauWVDtmzPr3X6m7Zb949UX5IafyXhRLTgAzF321+gq74n75gS3CLbo7cJfXa2HHNUaQQybrSMbtApjwT1qn5lK/GEUxqIzx2vX0qmTtuAzwV16Ugp7IJHajqR2JC2ONe04FB0RM9hPHGJbdztjpWEsuNHH4bQf5NZ6x0r7jjlBHEvLHXOKmBNEelmts2WYpUOHgiAIZC2U809cWD1xad/bWUfXLU/sq8TXfOytM8bRkY4XHeAAUJj9ITy3O4j3Tlx1a7mj7x2/2byy8r3bC6jWA8DzQSlFhuo8S9ssyoCb6Ycsvu/KgwllBc3B7QKtqVzY7L0m5t5Qmma8JLU4Uy4+Pa+2600gVXonOFy6xXHT2yWWHdDb6rO6G1qy333MqazZHVMFbKaA7jxiHVDFUI88+B7F31w8hqvf2VmZP7/nHf/j8v9ya7k+Ef+vT//VkYHpMMeLTlH0mLf8r7Fv+5AozsXN7/v0Si/Ilb+TDQ60VcHgE4Islfl7BsxUvVbW2vVOHsoVnnapt5ocJpZJ8/3N/2qiRbvb6n/W8gKZZgjhzBsSbyDBJww1IdppY9WWBuWkhTlvuDMQewwdEOV+Lv1d7OSbQFChJpauFuPMg2KKmDJEEUOtnsHqZXNH/35p+f1d8z5088e/LPCVT7xz5ifnBY4jmvC/kHHZVd/CyiVzMFmpvuPgRPjVu+/b2jV0cAQdGYKsBwRMIGBJoFvtu/EDJxwV6S/WxKq7rxuDqWzglQ3CskFWOrBK72vqn5hkZZtc7AZaEZJKWiY22Tn5f+B8HqdovwnKEsnXiXWpZ8rtckJdcucswrmYReLkuiEAifPqVA1jVJhGCJ7H4XsqH8CPEHhVZHNlFDvXHPSD3EejKHdDLrcTpO2fX1K8veQA1+PZfSPIBN67fnjbhmt/8JPf9FTGRpEPqGw9wgR8D/BZsiux/jHMJMzEWMBKYKk4rgRdcRQWOhOA6wg/FSWYBil13pOgJol10wE8AWgH5A2AdtYzB9T6IjlcgOs8VThVvZp5SeWzE1vibKSjC3W/Jt+LZecPL4bPOBitI18ooGveGw4Uui78pODh971M1zHB2UtGUdJjXl87RkYr33/vW84kZR9f+NFNd/UMDo0hk6HwGIGvQK4nl4ToaZwwXcZM1y3jkoZ1ZqSskb4Tt/Smp2K4E6lmyirrRThvNXX6NKflzf+fs9hqM1cJ0VF92iOZOJbAtCaLOCERrT6TcfWr85oo4mlq3shjMSbgKTVM3h04CGJQrxOF3tcfKHSf9ylAHDNwA8cQ4ADQ3pbH5MTk9ZdffGrke+xrN/1sfcfQ4CAYleDOeLJdM9NFj2BDNmMVrRbrfNh0bIZLDtVwV7nAacmvmyyTxHsJwbu1lDiD+6Qr5aVd+E09nPo7OcFXzT6r3M2hJWoZSFpvN+lBP+vMHameqKwgVYOcEoDGsusCoO8YDMXSbPTMP2+42P2aq8OI/iibbd0/56UYxxTgAFAoFjBVDW+8+IKTh3bsen4Jjxd+6c677/e9LEU2IPAZMdxbQEbZRlw2RIpUUJHuldRMZHCj9BJWHFDZ6aSl9QTQ1EuU4PdwBML0rR7TY9sAOLWPvfisG75BBxfJO5X7mrhnwuHb+mpudiE6U82E9s4VuMOIGGVF/ytKBCJPJhL7Xozu2aeFQUA/0dF3+jbmZX5OaGPfypd6HHOAA0Au6/MHHnn6jvdd8YbgkUcHKsUsu+6Pf3yUMNQpk83M1UmXnb9oBNSFtd7NECqaLAhYDq58IRYgzQ+TcPIYTTyt4rRQdVpa9JmMBsdN8mJtGW7gEGsTj+1cjCaG3i2BK3QIrTopzi2BCyCKCcKIoh4R8DgZgUiIQGdbhvfMPUW0dS/9QGfPsh9WxvfWy10zK475Yo+XBcAB4NS1y/HQxifqixf03RiFtXuKmfp/nRgf/Nzu3XtQjwgYpapSElCtcYQxh266lChqA1hAJ3/DxA1eym1Q+Y5JtLigbvRSWqCn3yeJv4fQMvXncOQ/TZdcTyVJvzZ1USTiG3q868+iLXZaQaGi4WPp+Yu7Xl8IVP3Pap1iqqoCqlTl4IlKjPaOWci19Xy6vav/5kx+9u6R4QP17lkvD3ADL5GjZ6bj5HXH4/gV/VMkGhkYj9Zde84ZCz974gmLY9/z4XtAqeihs+yhkKOIYoF6JK24BgAAZ6Ikn80FIBpfp1uC2LgY+5mSciNJWnMk/ZdNaP/MhvM50s6aZG+elOtef98mtx7XYtuEbJ2bKkxOp62R7kxA1QXBmEDgS2WkMgUMjQqMjAtUqgKe76FnVn8sMvM/+xdvWHvt5qdHBto6+6deTuAGXkYW3B2XXHIJHt94S7x63V995sCBQa+z+/cf2zrweIZhAu3FOmIxhYHnCcanGPK+MC1gmoGDu6ghylpRWw+kWUliva0pogmbj2lu/8ShA8SC/6gM53YjYBWTBKCJA3IgYcmNDJho4yhMeIP7QbnqmqaPbRiQuiBKmRgxanhoWxa8BnS1BZg/pwOrTnhV7cS1Z3yl3Nb1Gebdive9883HAiqHHC9LgAPA6nVvwcjIGBgT/3jhBefSVSv7z3h84y/ovJ7BMyare7zheh/qNQ85P6UqOK+5miTpiFyiOukCkCBvYf2AlHPTgNg+5Orm0YhHNNLzgfQEUj1zyOKsDZPNZp/f6OzCtF6nVBgNXCYtyA5nch9huTik5c9lI+TiETy2I4t5nQuiubn8hgtfezFfunTxhjDCP1anxpHNHXlhnhd7vGwBDgDt7SZO+FMHdtyEC85ZUarXB7+3/hFxea0eUZ/U4DNZZSmKYTJJACu7RbHk7YB0vDBV/E5Gz2mQWzSlge1m1btdHhIJE06WTwLsjmLTys2vj2PKuLkTSv09tBU3tIvYLHaHZzUEgxHr+DFNfCk3Fp7HFKGgRvu2/w+IYgYuOKo1gb6OHC49fy4X3gk/bS91vveXG3aPr1174rGGx4zGUburvhTjmV1Pob2U6d64ed9VN93+2Gqfj1y677ntmKx7GJmUbv2MLy1PxIFKDajUKWLVe52pYC6PSS+pfNaBXEQFdhEwtY5SYlqZuHVNNKhpGtzaGWXANXNXvXtnMEoHku9bLyVMbLz0JspAtORDu885PGafPV2rHQIxp5iq+ahUfUQRBaUcmUBeBAeGPAyPU6xYPg+L5gW3keJJj8fe/G8QPjU4b+7Li2dPN15RANdjy7adyBcKC7c8veXr+/duv3Rg+8O45Z4xkNBHbztDLpCWe+cQwXNjFIwABV8gwwQynkCgAB54FuC+ciq5QNe9ehgFGCNJt7xjzc3JdPk5tPteb+8U/iGOW74Z9XEnsSR5IZhISqYKITG5zgW37wkJbsbh+xyBF8P3Yjlh9GJ4XoSML9s9HhguYvf+MqKIIJ+N0VGuYLI2hg1PzMWqZafihDVLblvUv+TDlUplZ1vH/GP90x/2eEUCHACGh4ZAmbd0eHDnCZQMXvX1m7ae/ceHB5DFOLo7sujtoJg/dxj3ba/g1ns7EZAMygFHwRPI+EIGdnkW5C7A9TOlJGHJmQIroc3CZpPc3LXiuupVQ2UrB+gtw3vVH4JkjApTHl6P6aAnF9wCvscReByBL4Gd8WMEQYiMHyKXrcNjFfzsDwwPPzkLC7vb0NtB0FaoYsFcDx1987HlwEnr+9o7vrHq+P7Hwnq0taOz41j/5Ec0XtYcfLrR0dkJAFuFEFsBPL60n86+8OTjv7tlYGDprmeeZIvmxDjrxBirjxvB5gGKTbt64FFiEiZi2tgy21rLZDCVpgVEA9Wx3NbpIZzwAJkNA8DJdG/0zqQTnxuj+WC8tITAtOqG4uQEqrMfIc5E1LrhtYIiLwBpvX0/QjlfxcBzNfzgl704OJjBmStDZII8lq88NZ7Xv2RrW3H4fUtPOPt5CAz43ivWBgJ4BQNcD8WBBw4ePDgQxfFFHaXs3Neee/JP9+1aX85mK4VMFch5MUQsMBnLzCGPSssNJNUGN6HBjTJkmotTa431ELDA5k5cDKXJ2aIbEqD16UQ6nOORSASRpfYxBcDU/tzpmWm6Ggvbylt+Dxnpl/Ej+KojdTUEalUP5UIRCxbOmXzjm84bywbxZW3d85+jlO7UMSav9PGKB7geXV1d4Fzs7O3p2T05UVnV3R6e3l5a+73xgSeLPbN3t7fvHYXnhxivCTBCUFDNSXVYa2OGfhLQlNLERBOwIOTKoyqc2wHnRGnJxFjhhLfQvYhIku649bvdu4yuf86g7zICnACcph1YyY5qhAj4Xh2eN4lqSDBRLaKvp2383W87Y2jWrHVebxt5z4KFC+8rFEqjgOCEvKz8fy9o/GlcpqlRr+yGIB4NMv+XjE6+74qh4cmPfvuGO+vtuYfJI9sqK/74dDlbFBNoywlkAoLAkw+PEXgekRNPZ9mjFMyjYMyqKlpm5FwgijjCWCCOhVP0BiYBglECxqhzPDVJVH24tKICSEDGMVCPgShSbWyEO8lUqo9n1SDJuwHfk699RzXJBhFK+Sp6ezi27hMYqS2fOOuEvh3Fntf8uHTK3/zr3T++IdM/p1SthRFfsXjOsf7pjvr4k7Hg7gjy8wGAj01G8Dz6/UxQ/0HgMVzw6pXskteWrvv332eWPbt9x5kjg3tZtVqFAEcUh6CUgRDmqB4ElFBQpsDOiFRTtCcUQBgRRLEAjzmiWEBwYSeXAgAjIAKgrtbu0B/PKZGsLxoBAhEBYSwQRVZMp1T+f30MA3pOwLiiKZwjFBEY88DhISYl5No640JX3+9IpTd8/bnnP1oqsKsrE7vJxEM3imLb4sqx/r1ezPEnacGnG/sHR5DNZDoOHBj8/O0/vzN4cmBnXC7l1hGIk57fO4iwNokgoMhlPPg+he8xBD5F4FH4PjHqhba6YQSMjHOMjNVRj7gBt7H21N4JAp/Ju4UPmczhuXq2zdiphQRDY8DIeIwoEja7iMq7iO9Rewwm2/RREiETcLSXc8iXusEoHoaY2lhqX8jWrD2vXip3/kMU1oeD7CtTDTnS8Sdpwacbvd3tADAM4P0AcOddvwWh5OzJSu11IyPjl0VhdXm9VsXWbVtBwBHHdcRxBHgW7IwCnieQ9QUCn2OqHmHXYIxCIJDxiZnACgFQLn3qlDAIT5Y4Y4pi+MymmXkMCAKObMCRy0TYNwTsPQgEHkHGJ/AYBWMxEAqEDBCcgMBDNpNBJuth4aLFyOezKJcyT/t+8aeCBL8CsH7NiWce61N+TMefHcDT47UXngMA6wcHh9YD+F0cR0uGDg7z/fv38b6+7v6enq5P7t3zHIpFH7y2F2OjIwhjgqwv0F4U6Ouawo4DFTy2s4CVsz10FJWGDiBSMQJcSCUjEDKswPOAjC/gMxtERSmQ8TjKhTqWLziAezYH2La3jN6SQCknkM1QRJFAe0cHFi+eg8AXmDdvLibGhq6dmhx5ZtUJp9NyuYN6PtsG4JfF4p+XpW41/uwBrkd3dycA/FIvDw4OIgiC9r17927wGUM+x8JZvYs/UqvhtbU6QeCFqI3eh45CBWuO41i8kCCO8iCkBsEjMEIxWeUYq3DkAoJiXrrC8xkGnwC5IEYuE2N0gmG8QlHIAaUCRUfZw94ximcOZFGNsyiWi7jkDSejkPMQRkAUkzsDr/61wIO/bPkK9PTMWh+G9ZGuru5jfQpfluP/A7zF6O7uBoARALcDwOTY8wDBU7Wa6KtH4BR1PL/1Mfgew5wehvmzKLZtFeH5F592DY+m3ljI8nCyyrH12QhtBSCfpSjlPXSUKcoFgWIuRluxhi27GILJAD1dgd/blf93r77+mmeHsv7oRBaU+SgUi1j7qtXI53zEnFAu6D4Az/QvnH2sT9ErYvzZTTJfzPHru+8FCOkbHjrQVszGolIX2PxMiI4ikMtQFHMM7SWKYo4jn4vRUaph8zaG8UqA2T1ZMmdO76gQYt+ylacf66/yJzP+H0jsz6M2uKKOAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIxOjMzOjU5KzAwOjAw0LWuBAAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMTozMzo1OSswMDowMKHoFrgAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 188252000
{'hecke_orbit_code': 31525197425153924, 'n': 1, 'trace_an': 12}
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id: 188252001
{'hecke_orbit_code': 31525197425153924, 'n': 2, 'trace_an': 0}
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id: 188252002
{'hecke_orbit_code': 31525197425153924, 'n': 3, 'trace_an': 3}
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id: 188252003
{'hecke_orbit_code': 31525197425153924, 'n': 4, 'trace_an': 0}
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id: 188252004
{'hecke_orbit_code': 31525197425153924, 'n': 5, 'trace_an': -12}
-
id: 188252005
{'hecke_orbit_code': 31525197425153924, 'n': 6, 'trace_an': 0}
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id: 188252006
{'hecke_orbit_code': 31525197425153924, 'n': 7, 'trace_an': 12}
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id: 188252007
{'hecke_orbit_code': 31525197425153924, 'n': 8, 'trace_an': 0}
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id: 188252008
{'hecke_orbit_code': 31525197425153924, 'n': 9, 'trace_an': 21}
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id: 188252009
{'hecke_orbit_code': 31525197425153924, 'n': 10, 'trace_an': 0}
-
id: 188252010
{'hecke_orbit_code': 31525197425153924, 'n': 11, 'trace_an': -3}
-
id: 188252011
{'hecke_orbit_code': 31525197425153924, 'n': 12, 'trace_an': 0}
-
id: 188252012
{'hecke_orbit_code': 31525197425153924, 'n': 13, 'trace_an': 8}
-
id: 188252013
{'hecke_orbit_code': 31525197425153924, 'n': 14, 'trace_an': 0}
-
id: 188252014
{'hecke_orbit_code': 31525197425153924, 'n': 15, 'trace_an': -3}
-
id: 188252015
{'hecke_orbit_code': 31525197425153924, 'n': 16, 'trace_an': 0}
-
id: 188252016
{'hecke_orbit_code': 31525197425153924, 'n': 17, 'trace_an': -3}
-
id: 188252017
{'hecke_orbit_code': 31525197425153924, 'n': 18, 'trace_an': 0}
-
id: 188252018
{'hecke_orbit_code': 31525197425153924, 'n': 19, 'trace_an': 8}
-
id: 188252019
{'hecke_orbit_code': 31525197425153924, 'n': 20, 'trace_an': 0}
-
id: 188252020
{'hecke_orbit_code': 31525197425153924, 'n': 21, 'trace_an': 3}
-
id: 188252021
{'hecke_orbit_code': 31525197425153924, 'n': 22, 'trace_an': 0}
-
id: 188252022
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