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mf_newforms • Show schema
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{'Nk2': 405, 'analytic_conductor': 1.226161189621336, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 45, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 6, 'char_parity': -1, 'char_values': [45, 6, [11, 37], [5, 3]], 'cm_discs': [], 'conrey_index': 14, 'dim': 20, 'field_disc': 612210993027128972419622455941607194624, 'field_disc_factorization': [[2, 32], [3, 10], [1246471, 4]], 'field_poly': [59049, 0, -19683, 0, -13851, 0, 5346, 0, 981, 0, -813, 0, 109, 0, 66, 0, -19, 0, -3, 0, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [], 'hecke_orbit': 1, 'hecke_orbit_code': 481086668845, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 59049, 'hecke_ring_index_factorization': [[3, 10]], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], [1, 1, 9, 4, -1, 6, 0], [1, 1, 45, 8, -1, 6, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': True, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '45.3.h.a', 'level': 45, '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': [3, 5], 'level_radical': 15, 'minimal_twist': '45.3.h.a', 'prim_orbit_index': 8, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{5}-\\beta _{6})q^{3}+(-2-\\beta _{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 10, 'rm_discs': [], 'sato_tate_group': '2.2.3.c6', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '45.3.h', 'trace_display': [0, 0, -12, 0], 'trace_hash': 2054669335938987895, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '16.272', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2150.686', 'prec': 27}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '452645.887', 'prec': 34}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.592', 'prec': 17}, 'traces': [20, 0, 0, -18, -12, 12, 0, 0, -18, 4, -24, 0, 0, 30, 24, -26, 0, 0, -8, 144, -96, 0, 0, -102, 2, 0, 0, 0, -114, -48, 28, 0, 0, -4, 0, 432, 0, 0, 240, -34, 102, 0, 0, 0, -162, 116, 0, 0, -40, -408, -156, 0, 0, -270, 36, -618, 0, 0, 120, 330, -50, 0, 0, 140, 492, -768, 0, 0, 162, -54, 0, 0, 0, 504, 276, -96, 0, 0, -128, 0, 846, 0, 0, 450, -74, 1488, 0, 0, 0, -990, -288, 0, 0, 218, -762, -474, 0, 0, -468, -180, -816, 0, 0, -1176, -90, 332, 0, 0, 52, 510, -612, 0, 0, 108, 196, 0, 0, 0, 240, 1218, -94, 0, 0, 408, 0, 1836, 0, 0, -60, 504, 1344, 0, 0, 0, -882, -488, 0, 0, -44, -792, -1056, 0, 0, -774, 324, -2448, 0, 0, -474, 954, -248, 0, 0, -1152, 1068, -1296, 0, 0, 1284, -270, 0, 0, 0, 2070, 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-2, 0, -1, 0, 2, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, -1, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, 0, -1, 0, 0, 0, 0, 1, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, -1, -1, 1, 0, 0, 0, 0, 0, 1, 0, 0, 1, 0, -1, 0, 0], [-1, 0, 0, 1, 2, 0, 0, 1, -1, 0, -1, 0, -1, 1, -1, -2, 0, 2, 0, 0], [1, 0, 0, 0, -1, 0, 0, 0, -1, -1, -1, 0, -1, 0, 0, -1, 1, 0, 0, -1], [0, -2, 0, -1, 0, 0, 1, -1, 1, 0, 0, 0, 0, 1, 0, -1, -1, 0, 0, 1], [-2, 0, -1, 0, 1, 0, 0, 0, 0, -1, 0, -1, 0, 0, 0, 0, 1, 0, 0, 1], [-1, 1, 0, 0, -1, 0, 0, -1, -1, 0, 0, 0, 2, -2, 2, 3, 0, -1, 0, 0], [1, -1, 0, -1, -1, -1, 0, 1, 1, 0, 0, 0, 0, -1, 1, 2, 0, -1, 0, 0], [2, 0, 1, 0, 1, 0, 0, 0, 0, 2, 0, 0, 0, 0, 0, 0, 1, 0, 1, -1], [1, -1, 1, 1, 1, 0, 0, 1, -2, -1, 0, -1, -2, -1, -1, 0, 1, 1, -1, 0], [0, 0, 1, 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[59049, 0, -19683, 0, -13851, 0, 5346, 0, 981, 0, -813, 0, 109, 0, 66, 0, -19, 0, -3, 0, 1], 'hecke_orbit_code': 481086668845, 'hecke_ring_character_values': [[11, [1, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [37, [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 393660, 65610, 6561, 7290, 7290, 7290, 393660, 262440, 65610, 157464, 131220, 262440, 262440, 65610, 157464, 131220, 787320, 65610, 26244], 'hecke_ring_inverse_denominators': [1, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 1, 0, 0, 0, 1, 1, 1, 0, 1, 0, 0, 1, -1, 0, 0, 1], [2, -2, 0, 1, -1, 0, 0, -1, 2, 0, 0, 0, -1, 1, 0, 0, 0, -1, 0, 0], [12, 0, -3, 0, 4, 0, 0, 0, -3, -4, 0, -1, -3, 0, 0, 0, 2, 0, -1, 0], [0, 3, 0, -2, -3, 8, 5, -12, 0, 0, 0, 0, 3, 0, 4, 3, 0, -3, 0, 0], [-2, 0, -4, 0, -16, 0, 0, 0, 6, -3, 9, -9, 6, 0, 0, 9, -3, 0, -1, 3], [19, 26, 0, 1, -11, -9, 9, 16, 19, 0, 0, 0, -8, -1, 8, 12, 0, -11, 0, 0], [105, 0, 22, 0, -76, 0, 0, 0, -22, -33, 8, -11, -22, 0, 0, 8, -4, 0, -7, 5], [-36, 78, 0, 35, 15, 13, 37, -24, -36, 0, -33, 0, 21, 24, 17, -6, 0, 15, 0, 0], [467, 0, 44, 0, -125, 0, 0, 0, 14, 59, 29, -54, 14, 0, 0, 29, -35, 0, -4, -10], [98, 181, 0, -30, 26, -36, 225, 296, 98, 0, -81, 0, -124, 106, -49, -51, 0, 26, 0, 0], [-105, 0, 196, 0, 298, 0, 0, 0, -163, 79, 71, -1, -163, 0, 0, 71, -159, 0, -51, 140], [-45, -159, 0, 190, 144, -40, -67, -561, -45, 0, -411, 0, -99, 654, -59, -387, 0, 144, 0, 0], [2539, 0, -735, 0, 1475, 0, 0, 0, -901, -289, -268, -621, -901, 0, 0, -268, 598, 0, -309, -436], [799, 1568, 0, -1624, -323, 477, 1557, -620, 799, 0, -594, 0, -476, 791, 150, 126, 0, -323, 0, 0], [-11892, 0, 282, 0, 698, 0, 0, 0, -1122, -1337, 1188, -1997, -1122, 0, 0, 1188, -452, 0, -701, 747], [1566, 5748, 0, 893, -51, -4058, -3596, -1500, 1566, 0, -2835, 0, -1515, 3402, 1103, -516, 0, -51, 0, 0], [30404, 0, 436, 0, -9866, 0, 0, 0, -11697, -9798, -4410, -6606, -11697, 0, 0, -4410, 6024, 0, -3536, -5781], [-8038, 31969, 0, -5113, 6545, -234, 12897, 3575, -8038, 0, -10665, 0, 1493, 4861, -17, -741, 0, 6545, 0, 0]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -2407887, 0, 1193373, 0, 346842, 0, -250902, 0, 25071, 0, 19627, 0, -8916, 0, -286, 0, 609, 0, -29], [-1154736, 0, 434484, 0, 310716, 0, -121671, 0, -8097, 0, 13496, 0, -3333, 0, -1058, 0, 327, 0, 23, 0], [0, 19683, 0, 13851, 0, -5346, 0, -981, 0, 813, 0, -109, 0, -66, 0, 19, 0, 3, 0, -1], [-89667, 0, -4617, 0, 29682, 0, -1497, 0, -2804, 0, 837, 0, 59, 0, -126, 0, 4, 0, 6, 0], [0, -82377, 0, -4617, 0, 29682, 0, -1497, 0, -2804, 0, 837, 0, 59, 0, -126, 0, 4, 0, 6], [0, 104247, 0, 4617, 0, -29682, 0, 1497, 0, 2804, 0, -837, 0, -59, 0, 126, 0, -4, 0, -6], [0, -6436341, 0, -914166, 0, 1700676, 0, 22914, 0, -166587, 0, 48236, 0, 7332, 0, -7448, 0, -213, 0, 338], [-2998377, 7074945, 668493, 26730, 956772, -1476900, -98262, 88110, -92769, 112695, 27497, -44100, -1146, -2400, -4556, 5760, 219, 105, 281, -270], [1614006, 0, 381996, 0, -597456, 0, -38349, 0, 68457, 0, -13366, 0, -3477, 0, 2908, 0, 93, 0, -163, 0], [-8936082, 597051, 343359, 680157, 1848744, -403380, -207252, -166626, -110088, 86295, 60321, -2287, -1746, -7950, -6348, 2764, 234, 435, 219, -235], [-10582893, 0, 301077, 0, 2186838, 0, -126018, 0, -165651, 0, 62303, 0, 3156, 0, -8474, 0, -249, 0, 419, 0], [-2735937, -7074945, 668493, -26730, 956772, 1476900, -98262, -88110, -92769, -112695, 27497, 44100, -1146, 2400, -4556, -5760, 219, -105, 281, 270], [-14893470, -8247177, 572265, -325377, 3081240, 1889352, -345420, -95382, -183480, -151329, 100535, 57587, -2910, 4494, -10580, -7376, 390, -21, 365, 311], [0, 2991816, 0, -562059, 0, -589761, 0, 96651, 0, 40332, 0, -19276, 0, 1428, 0, 2203, 0, -87, 0, -133], [-8936082, -597051, 343359, -680157, 1848744, 403380, -207252, 166626, -110088, -86295, 60321, 2287, -1746, 7950, -6348, -2764, 234, -435, 219, 235], [4815774, 0, 2865699, 0, -1696464, 0, -515556, 0, 285468, 0, -25139, 0, -26718, 0, 9812, 0, 1482, 0, -677, 0], [-43204185, 63799164, 4220910, -4380561, 8908380, -13054284, -1169370, 1346904, -525915, 890718, 293700, -412199, -18540, 4962, -31800, 48032, 1395, -768, 1290, -2177], [8975448, 0, -1285227, 0, -1895643, 0, 159363, 0, 156966, 0, -54428, 0, -546, 0, 7889, 0, 69, 0, -509, 0], [4218723, 0, 267543, 0, -1014768, 0, 6354, 0, 95055, 0, -28301, 0, -3354, 0, 4280, 0, 123, 0, -221, 0]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 20, 'label': '45.3.h.a', 'level': 45, 'maxp': 997, 'weight': 3}
-
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{'Nk2': 405, 'analytic_conductor': 1.226161189621336, 'char_conductor': 45, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 8, 'char_orbit_label': 'h', 'char_order': 6, 'char_parity': -1, 'char_values': [45, 6, [11, 37], [5, 3]], 'conrey_index': 14, 'cusp_dim': 20, 'dim': 20, 'eis_dim': 8, 'eis_new_dim': 8, 'hecke_cutter_primes': [], 'hecke_orbit_code': 481086668845, 'hecke_orbit_dims': [20], 'label': '45.3.h', 'level': 45, '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': [3, 5], 'level_radical': 15, 'mf_dim': 28, 'mf_new_dim': 28, 'num_forms': 1, 'prim_orbit_index': 8, 'relative_dim': 10, 'sturm_bound': 18, 'trace_bound': 0, 'trace_display': [0, 0, -12, 0], 'traces': [20, 0, 0, -18, -12, 12, 0, 0, -18, 4, -24, 0, 0, 30, 24, -26, 0, 0, -8, 144, -96, 0, 0, -102, 2, 0, 0, 0, -114, -48, 28, 0, 0, -4, 0, 432, 0, 0, 240, -34, 102, 0, 0, 0, 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mf_twists_nf • Show schema
Hide schema
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id: 35810
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.h.a', 'target_level': 45, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 3}
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id: 35811
{'conductor': 5, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.h.a', 'target_level': 45, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '5.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 35812
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.h.a', 'target_level': 45, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 35813
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '45.3.h.a', 'target_level': 45, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 35814
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.3.h.a', 'target_level': 135, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 3}
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id: 35815
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.3.h.a', 'target_level': 135, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 35816
{'conductor': 15, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.3.h.a', 'target_level': 135, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '15.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 35817
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 8, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '135.3.h.a', 'target_level': 135, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 35818
{'conductor': 5, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '225.3.j.e', 'target_level': 225, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '5.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 35819
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '225.3.j.e', 'target_level': 225, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 3}
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id: 35820
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 4, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.d.a', 'target_level': 405, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 3}
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id: 35821
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 4, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.d.a', 'target_level': 405, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 3}
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id: 35822
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 4, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.d.a', 'target_level': 405, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 3}
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id: 35823
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 4, 'target_dim': 20, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '405.3.d.a', 'target_level': 405, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 3}
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id: 35824
{'conductor': 15, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.3.j.e', 'target_level': 675, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '15.e', 'twisting_char_orbit': 5, 'weight': 3}
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id: 35825
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 8, 'source_dim': 20, 'source_hecke_orbit': 1, 'source_is_minimal': True, 'source_label': '45.3.h.a', 'source_level': 45, 'target_char_orbit': 10, 'target_dim': 20, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '675.3.j.e', 'target_level': 675, 'twist_class_label': '45.3.h.a', 'twist_class_level': 45, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 3}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 150150
{'charpoly_factorization': [[[83521, 0, 377723, 0, 1403643, 0, 1215738, 0, 736575, 0, 219603, 0, 46527, 0, 6012, 0, 561, 0, 29, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 2}
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id: 150151
{'charpoly_factorization': [[[3486784401, 0, 387420489, 0, -90876411, 0, -11691702, 0, 715149, 0, 197559, 0, 8829, 0, -1782, 0, -171, 0, 9, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 3}
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id: 150152
{'charpoly_factorization': [[[95367431640625, 45776367187500, 10833740234375, 1684570312500, 254150390625, 75820312500, 30112500000, 8309062500, 1534640625, 220425000, 36774375, 8817000, 2455425, 531780, 77088, 7764, 1041, 276, 71, 12, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 5}
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id: 150153
{'charpoly_factorization': [[[245780494502544, 0, -80687439915120, 0, 18263148240492, 0, -2157226663140, 0, 182605962681, 0, -6789915963, 0, 176953410, 0, -2848743, 0, 33300, 0, -225, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 7}
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id: 150154
{'charpoly_factorization': [[[21579372, -75745044, 73609560, 52699572, 12814254, 1419444, 52047, -3060, -207, 12, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 11}
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id: 150155
{'charpoly_factorization': [[[145087454981654784, 0, -74891777995307520, 0, 33948525927468096, 0, -2311473416428800, 0, 121768993165680, 0, -1662717717792, 0, 15704012376, 0, -85332096, 0, 336024, 0, -702, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 13}
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id: 150156
{'charpoly_factorization': [[[-1532096164, 0, 293217824, 0, -14232754, 0, 165457, 0, -704, 0, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 17}
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id: 150157
{'charpoly_factorization': [[[-7946, 14168, 1828, -575, 2, 1], 4]], 'hecke_orbit_code': 481086668845, 'p': 19}
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id: 150158
{'charpoly_factorization': [[[15352201216, 0, 108068077568, 0, 563638545408, 0, 1322451364608, 0, 2301607545225, 0, 414455879073, 0, 66857356842, 0, 263475837, 0, 776676, 0, 1019, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 23}
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id: 150159
{'charpoly_factorization': [[[19167316554672, -1046363555952, -175759101612, 10634321196, 1985138091, 75880557, -153396, -61731, 0, 57, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 29}
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id: 150160
{'charpoly_factorization': [[[116686747082896, -10425773397584, 1135578982296, -28736012232, 2303850948, -24844656, 4025580, -7344, 2370, -14, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 31}
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id: 150161
{'charpoly_factorization': [[[2777948395200, 0, 1618405964064, 0, 11819524860, 0, 21911796, 0, 8766, 0, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 37}
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id: 150162
{'charpoly_factorization': [[[957338655721083, -126875916830061, 3585631193289, 267619600080, -3881977839, -291632967, 5037759, 155754, -2187, -51, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 41}
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id: 150163
{'charpoly_factorization': [[[26101995954501242652063660507024, 0, -419939439202272794121249186240, 0, 6186481774484711633975774808, 0, -8585560824255183177385992, 0, 7707035016721219941540, 0, -4276089310487271210, 0, 1742135549726601, 0, -485547384528, 0, 99329391, 0, -12492, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 43}
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id: 150164
{'charpoly_factorization': [[[12081587504471324507021801690896, 0, 107932355593084164592455873584, 0, 680077029896355902522257644, 0, 2139498472162915270740180, 0, 4851170660501053582905, 0, 3809049627564394575, 0, 2096273542483116, 0, 655693610673, 0, 146323950, 0, 14273, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 47}
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id: 150165
{'charpoly_factorization': [[[-3793539972558400, 0, 48849098477408, 0, -105276457072, 0, 66055660, 0, -14552, 0, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 53}
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id: 150166
{'charpoly_factorization': [[[70779040697088, -283570452975744, 378100155089088, 2405751720768, -188962668072, -1216352376, 77209137, 597420, -8757, -60, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 59}
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id: 150167
{'charpoly_factorization': [[[457796433007684, -42782342588696, 3937641223818, -135013969152, 6587481615, -112826757, 7209672, -69921, 3648, 25, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 61}
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id: 150168
{'charpoly_factorization': [[[42339724519993641160258255461702009, 0, -229252409643363209746949893651515, 0, 1001142789834112969844227267593, 0, -1171347424014636221023383372, 0, 1006562681382343210543755, 0, -297376506315680951385, 0, 61163522445359691, 0, -7354696689738, 0, 641032551, 0, -30897, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 67}
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id: 150169
{'charpoly_factorization': [[[3828483125226241200, 0, 3948169776994944, 0, 1564855580700, 0, 299435292, 0, 27756, 0, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 71}
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id: 150170
{'charpoly_factorization': [[[103670853075000000, 0, 372030810570000, 0, 428225042196, 0, 184596165, 0, 28746, 0, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 73}
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id: 150171
{'charpoly_factorization': [[[183058066387356736, -1115953201601984, 408194053655808, 14062297422816, 817342016784, 13496185896, 246903468, 1007568, 17670, 64, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 79}
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id: 150172
{'charpoly_factorization': [[[4276351031355007768605565775773696, 0, 82871891283551008893454272954368, 0, 1547520580158405444027923229696, 0, 1102836017876832291062181888, 0, 505672094975078053391721, 0, 141690903486132516681, 0, 29111263846405314, 0, 4058386137261, 0, 413729148, 0, 25379, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 83}
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id: 150173
{'charpoly_factorization': [[[272917466828794800, 0, 764248742818344, 0, 677554040619, 0, 203704227, 0, 24345, 0, 1], 2]], 'hecke_orbit_code': 481086668845, 'p': 89}
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id: 150174
{'charpoly_factorization': [[[7627850092981475586288900000000, 0, -461759614681328063526108240000, 0, 26872094835195711706649366784, 0, -64477809475666960942498752, 0, 124035023224733013376632, 0, -59546004790535107740, 0, 20090942378415369, 0, -3667284196794, 0, 480253167, 0, -25578, 0, 1], 1]], 'hecke_orbit_code': 481086668845, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 8, 'hecke_orbit': 1, 'label': '45.3.h.a', 'level': 45, 'portrait': 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Cy3A9p9wSD2WOkJNk0YllqG42cVFc9n0zRsmwvZODNgw8yQTTNDtm207NikuHS7R1XVOXK8yVee8Xlsf8xTxyIS1eFNL29x60stVTXD/mOTHDmtOXUuYT4F98FFy3WXL/Bz71xh++wEp89Ncm6lwlLLY7klaXUS2t2E9gD2H1nk0MnWpU8eXHjFgZNndx0+de4LN37D28L7bvvoCw2Jv9ftnzSDLy63wFgQ/Mr9Txx66U//9ifkN7/kwEv/w62n9OLqRlbaDZZWayy1fJZamqUWLLcSllsRS6sJ86twaEkwN7vKL75riesvqnHi7DSnz9U5vag5u2SZX4w5uZBwrhMzOT3gZVd2eckl4MsqgQo4u1zhzKJmflnQG0IcGyq+oV5JmJqIMcCx+Zh2F3Zu9KhXh1grQPh0+4Ydm4YsrWqwToqsdmEYg8Wy3ArZusGj01cIZRFmSLPisWPzgNWe4NhpTWI0M01JoyIIPIhjQW8omV+WnFmynF2JCYIBeDE3XtblpZcL5ppVllaanDgbcHoRzi7GnF2OObUMh5YsL75skV961wqbJpscn59mfqnKworPYkuyvJqw0o5YaScsdwyLHcmpDiwvd/mt/ziIv+3Vjfv92e83fv2S+43hpz1P4Pn/dLOj/2QZ/H0f/Bgvv+la/sN//E+//KGP3fEfP/DhL1+w59jqrv2nuvLlV3TYvSUhSTTWKqx17I2VgAQEQli0sPgSTi9Veeig5Mrdy1yyfUCtAp6W+J7C9zX1qqTmSXpdj31HK3zxMZ9j54a044h9J4ZsnFnmzS9b4coLOrz4khZHF2MWe4JaMODwaUurXeeK8yWrg4Q9RxWNmubZY3DhFssgTBgkPlpHTDVg74kApRM8GaM96A8l11/So9+TXHlBQrufcOx0g/M2Keq1kNWhZcNkj5Vum4/cAU8cSXjqyICdW5a46uI2U9Mhb7yxw7e80rJ7U4MkmuTIqQkOnfQ4MW84eS7i5LmEQ+cEx1cjXnTRAr/4rg4bJyc5MT/N2aUaC6s+Sy3JSiuh1YlY7SasdC3LXcHZnmK5HXPdpQv88FvOyUCx69z88fOiKLyhPrmzGlSmv/TEQ5/kD977Vy80ZNa9/ZNk8I997JO88sXnqY998en/cuDw/M88+tQxtdQOWR5qTnUNV+48y2/90AJX765xdmmKpVaN5VaF5ZbHcluz0oGVVsJKO2a5E7PYghMrAl0dcNPly3zrK0PO21Bntdvk3HKVhWWfxZZgueUkwkrH0O4b2kNLbxAz04zYsdEAgsCznDznIWTAzg2K87ZYtmzocXZlyJMHGlx7oaVWXeGZg9M06iFh6DEzZegP4NIdAz50xyQXb48ZDi2zE5Io6dOoBDx7dEDVq3P1RTFPHQ45u+SzdSbgvM2wY1OIUhEnF8H3LEJYdm6MmWpIOv2Abs+j3fNYbiuWV2GpZVhuJSy2EuZbsDRI2LG1y7e+apGbLtFUvCZnFpssrlRYXNUstwUrLcNqJ2Klk7DatSx1Yb6jOLsac/3F87z7h5a4YGudpdUmrW6FYVRHVi5IpL/1l08uXfJLs41jyatf+00vNHTW3P5JAXz//v1UKpXqmTMndzz99J53HDpy6r89s+84vaGkN4TVvuBcT3G6E/Pi8+f5zR9a5qrzq5xbmWJptcZKu8Jy22OlrVlpQ6tjWO3ErHRiltuWsy3B6a4F0eXWl7d44/WG8zdXCMMaK60Kq12fVkex0hV0eoLB0BLGliQBJS2BB9XAMtm0bJiO0N6AQ2dCnj4YYOI6r78hRHurPLpngl2b4XMPxbz8ioBzrT4VrYiTiOkpiCMP7cUsLdV42TVtPvdAg/M2wyMHhnjUeN31hlj0efpQwpGTFbT02TilmaoLqoHA9wVKQGwgjCyDEDo9y2rX0OkZVnuGpa6lnyTs3NbjjS9pcetLQzANllYnOLdcdXq7rVlpwWonodWNWU3BvdyDM23FQjvhxRed5d0/dI7LdlZZWJlktVOj3fPp9jyWWgLpbyeobfrZ7bsu/uvt27YdHwwH/YsuvOiFhlJ++ycD8EMHDzI3N+cfPHjguw8dOvieJ556Uiwtd2Wnl9DtGzoDS6cvHMj7kjOdiOsvOMevff8S11xQYXF1kqXVOivtgNWOz0pHs9oRtDqWVjdhtRPT6hpWupZzHcGZlmFqssc3vLjDjZfE7NyoaFY92p0KgScBRRhLjBEYC70BIAxTjQEHTlmMDbn9kTrDXpULtvrcdGWPyKxy92OTXH2hx4H5Lq2VJi+5sseXHg3YOG3Zc8zyf7y1zZ6jARunJV98THHTpYrlXpvDJ6a5+qKQu5/uEw9r3HiZz+7tA/pxl9seVZAIDp3UNGsaLaDXlxgrSIwligFp0L6h1bXUGxHbNw956aU9vuHamJl6hbPLEyytVllpu2Oz0ha0utDqxLS6Ma1uQqtnWe5J5juCxU7MDRcv8Mvfv8BV51VYWJ1w4O4GtHsenZ6m3XWrZWQq5pJLr7S7d1/wI7t3X/CBxcWF8IILLnyhIQX8EwF4FMUyHPbf/OB9n7+g1Y3f/fDDD3uJEQwjS6+f0BskdAeGbgryVgry062YGy89x698/wLX7vZZbU+wsNKg1a2w2vFZ7WpaHUWrB52upd2LaXfdBdPqWRa6goUuRMmQqy7ss2k6oduzvOElQ3ZtMsSJREtLGMFdT1Y4fq7C5qmYZw5VwNS4ZJvimosNQaXHowd6LCzWuXxXnebkCg885XHdhRWWequsrDTZtMny0B7Fv76ly8N7NNs2eCx2W6wsT3PNpT0eeCZhujrJ5Rd0Oddq8dBzk1R1nRdfbLloxwBklyePCDZMR5xdiLj7SY9BpJASEmPZtTnkG14S0ukqtkwZrrkQwrDGcqvGcitgtevR7ilaXUm7C+2ec0o6vYR2z7Dasyz3JafaglZ/yE0XLfBL37fCiy90F0erU6XdC+hk4O4run1Jty/oDhKi0HD1NS+OEqN+4ta3vulgrVb9tOd55oXG1gueyUyiDibpvGv+xKO/tXRu3/SpM6s064owEkhhcZn47OYsQCEsUlqk1Dy8fyM//T7NW29a5ttuWea8rSHzS00Cv0o18KkFHvWqplOVNPoeE3XtLph+wsahoT+0dAYBywsVTp6whLHh1HxMEFhA4CuLloJeXyHwiHuaF+0S7N5i2bG1xzDp8PmHFXsPTvHaawOuuXSFD37e4osau7b2eOoBxdZJxWyzR0VVCSOPcx2oVzTbNgqe2BtyzUVVXnn1In/6mT6+1+A1N1i8oMeXHwr53IN1njtS5fwtNXZtTpibCjlvNuKKXQlKGbSygKUWBMxNBoSRR6fn88wBj+5A0+srugNJtw/dgaXbc9+900/o9i3tvmW1Dws9xdkVS22ixY++foF/ddOQq86vc2bRae5OBu6+ottX9PqS3kDQDy1RBIPQcve9D3m1+vRvNaY2LN/88hv+z9VW708nJ2ovKL5eUIDHYQeL+L7F0/f+yqlDd0ybcECzFqCUpD8UIAS2ZPQIAVK4TholLUom+FLy1IE5Ht9f58Dpc7z1pV1eetmAyUaT5VaNertCs+/T7Wl3cgaS/kDTG2oGQ8sgNISRJYosceLuYexjDUgl8LSg4gsmG4KpBmyaNWzb2GN2qsUXHoV7HveQZoLXXuvxoks63PdcRDhoctOLBK1+n3NLdW68yDA72aOqAwaxYqEdoYzgRRdpao0hj+2r8IprJnjJVR0e26fATnDtZT7f+6ZlvvREyBcfrrPneIUdc4pN01WmGjUmGlANwNMWJZ2buueIIEkEUSwIYxhGuO84TOgPDYOhoTcw9IaGbh/aQ1joSs51YGgGvPrqZd780hbf8RpDHDeZX6zT7lbo9H26fY9uX9HpK3oD4cA9tAwGhsEwYRAm9AaG4/On2X/yC9OrXfPr7/imV+hWu/e+ieYLB/IXDOCD/jLG2u89d/yuXzl77LYNJu7SqFVAJCmQQQiJQCCEQgiBlKTgBqUsWlk8Zah6gsVelQ/fsY0vP97m5Ves8s5Xr3LFeV1mJmssrdbo9AN6fS8FtnL3UDCMJFEsiGO31GcrhpIWraHiQ61qmG5EbN3QI6bLgVMRH7m7wuETdSaDKtddprnxyjYP7W9x+1ea3HBhhR2be3zoDoESAc1GxGp3iLGgBMw1e7Q7Piau8uaXn+PDn6ux+2yFN97QI4yWuPvpGaKkwvWXbeCN17W5cHuLLz/W46kTNZ484rNtWjLdFNQCge+5i9AdL4uxYIwlitOLNbIMI3chD0Loh9AZCFaGguUOCD3g6otXeec3rPLyyxJmmlVW2jVanSqdXkB34NHtFytBbyjpD6CXXjiDgaE/TBiElv7QElvFykKLP//rL26Qwv7Krd/4Mnt2YeVPNs5N/csH+Nlli9KImZPKnj3z6e+Kw967l889M5tEK2gvIEgSjBU4HxvIQC4EQkiU1EiZoJRIl2eDpyyBtlS1YGWgWGpN8dG76jz4TJebrlrlna9Z5erdLWaSKnEc0BtU6PY9+kNNGCmiWBInksQIjBUuCyosgW+oVWICP8T3hpxaGvKZRyQHT/ocOTmFMgG7N/tcep7i2kvaqGCBpw812DpZ4/LzYdPcCsvtJldslcTG8oWHA4Y9yWQ95nXXD/j03RHH5xtcfIHHmdUBzx722L5xiqvOW+C+pzo88KxgGPpcct40l2wPuGRbh0Nnljl4Ch7eW+PA4To1LQi0pB5YKh5I6YIqa93FGicQxhAmgu5Q0B4I2hGEJsbYAS++sM07v6HNy69I2DwdMBhMsNSq0OkGdAc+vb6mO1D0Bor+UNAfSPpD1zeasfZgaBgMLf3Q0A8twxAsivmFFu//yJ0bnjt07t0TzVr8i7912weDynP81A//2L9cgGMHYCsvP1J5+E9Yec90wMJsoAJExUdFEZT0thQKIXBsLQVKCbRS6aNBqwRPC3xt8D1L4FlqfsJkRdAZeqy0p/j4PU3ueHLAxqke73hVi0u2Dxj0u1x+nmX7JsUw8kiSIs0vsEhp8HTCsbOWI/OC1b7hU/fVOLU4hQ09piqKLTOanZs052+Fy3e3MXKR9366zvLyBDdcorl8d4svPykQsceGKUm9FtOLfKSVYCVK+7QGgrPLgstsjVdd2+H+x6psmfW54fJpvudNi3zgcx0e3lenO/BYWm1w3pYqF2/ucf1FHb75FR1OLy/zqfsClnoBx854nDrl4ymBlG7VM9aSGIiMJYkNUzMRV17WYziMuGT7kLe9asiGCcV0IyCKKpxZqNDr+/SGbpXr58B2crE/FAyGuJVgmDAIDcMwcRIosinIoR8JBpFgaBR7TrZ5/PBXZl9+9eTvvOqm2WjLxL6//E+/+gf8xk/92395AP/hX/ozNs5UxKc///vnVeWei+aqz7JhcxUp3NKmpMk1tpDZo0VJhZQSJSVaCbRKH7XA0wm+FvieoeJZqpGlFlomKglTVUEvlHTCOkdO1vm1v5wGEyPimGuv7HHeppA4BmMN1rokjhQCqQTa89l33GfPwQr1iqbhS2ZrgrkZyYZpzZY5xc7NCRfvXCURS/zuJ5ocOz7JDRd5XLIroR93+MrTAZNVj5kJy2QjpFZ1UsgYSWugWO5alloJrW6Vl12+yiN7euw9rphsVrj+skm+/81L/N4n4bGDdbp9y2pHc3a5yabZGhumBuycGfCf3t6jWWvx1BHYd0LieRalLEIYwLr/WYhj2LUp4aYrYpLII4oDrK0xCD3mF336Q7eiDUKVy7d+KBgMBYPQsfYwdFnZ4dAwDA2DyKTvZXcH7n4k6ESCdiRoRZao1+fg4WOTF+/c/se75i6If/0nz//oL/6b37b1Lf/+Xw7Af/bdH+GSbbMq+dkP3vprf7bw3qf2nOLmKyf5+e/pcMmONkrFKFlxzogwSGlRUqOUdcGkUqnelnjaaU7fUww9yTA0BGHCMLJUI8MwMoShpRnDMDIMYwhjwSCSDJOAKKmw92CdJ/dCYi0O2k4bexJ85Wo+GgFcvhmaVZioS6YaiplJzYZp2LFpyOa5VSK7zO9+YoJDhye45nzF+dsku7etcOezMWeXJrj2PMlU01Dx+wQywCpBnEiEtcRJyEq3wtklj2suqfKiizrc91iFjVOCWqXBNRcZfvTWJX7nk4ZnTzVY7RpWO4qFFc3sZJ2pZpWp5gTNWsRcPWLnNSGBF+PpGKUSpHDLocVdVFGkOLegiWJFFCvCSDGM0sdQMowkw1AyCCXDULgANRQMQ8swdMd1GCaEYarpI/f+IIRBJBhE0AsduFcjSSdMMIM+V5+3zH/53mWuv2i+FtT44NIRbfrxZZ+YP/D+ZNOF3/PPH+C/9Xt/xWTDUwdPnHzbmVPzf/ro0/OVbryJT9zTJjaSX/qBVS7dmqCVQUp3Vyq9SwdwT1k8rfC0xQslvifcSfAEQ18RRg7oUWQJ48S5InHpnkCcWJLEkBic3jbk4M6kkJbgeRBoQSUQ1AJJvaaYqEmmJgQbpmN2burRqK/yiftD7n56mtXFJlfuUOzc7HHh9gGJWOULD9eoe5q5KUWjNuDpQ/DcYc0V2y29oeKqCyOu3G2ZP5OwsOLTH9R4/XUd7n2qz4FTinpVEvhNrjjf8EvftcRdz/b59F2zLLUtOzckrLQ0k03FRN2jUfOoVy2VwBD4hkAnaGXTY+nOgbW4hJURxEYSJ4I4FkSxJIwFUSQZRs55CSNBGFnCEIZRQhgZwhJxDKPy3YG7H0EvErQjSSuC3jBCxj2u2bXCL3z/Em+50dDpT7LSOlHp9af+PJbNfxMz97E9j/9Vcuk13/7PG+DtoZVLnfa3HTt68g/27jtWma562FDQE03+7gFJOFS87eY2b7+lw1QzptNL0DJIdbbTw57WeJEm0IqB55hm6ElCXxBGwp2cSBHFEEbSOQhxYfvFiSFJnLuQ2NQpSfV+5s4o6WSPrwWBL6kEknpV0KxZJhuGjdND5qY6xHaVj94r+cDnZthQqXDlDsGOzR67thh2bl7hE1+xLC9XuGSTYqoJjVrE2aOScysB/nkwjARzE5LJSThwxLLSNswvVrhwV4Vbru3wmXsqzDQg8H2UnOSK3YIfeOM5PHmOv7tviudOVdjYjtgwGTNRVzSqilpVUg00gQ+BB1o7h0mmblQOctyFnRhIEkGckAIdosQSxhBFiSOFyBBmj5FJbcfMlUktyNhJkm4kaMeSTmQIByETQZtvff0Sb39Vl9dcA61ug26/ShgHdFpHK8Kv/PHENFop/Vc4nvnnCfCf+Z2/o2/Mdz393DO/eeLYsWbFV9jIMmEFFs1ANPjCI4qvPFvhzMoS/8etPaaaMcMgot2roLWPpz087eGHCaGn8UMnTcLIpdId4wjHRCkrxTFECSSJcxKMcQGXMTbr4UzB7QDuAleBpx1AKgHUKoZGNWayETM32Wd2apX794b8+e1V9h2ZZNeEx+5NsG2Tz7aNcPGONr24zUN7mlSVx9yUYrIBk40hUxMxvq8RaeKqP/RZbkes9iytbsy5FZ8dmxq85JJz3P5wj32nmtSCCE/5CDHB7q2K73zNIi+++Bx/fnuDh56ZZKmr2dCMmazF1CqSakUReILAk3iei1WUyuxWh3KL62E1hhzocWLS1S21FmNDnDhwxxGEsS3ukXNlBrEjlV4kaMeCTgyDQYyJ+8xUO/zItyzxf317j1rg0WrXGIQVhpFPFGms9Rh2DjXr1f7vzm292G+d+rMPTGx91z8/gC8ut9BKft8v/z+f+JWDR07NVJRECwi0q4WWQtASip6qszrQ/OZfe+w5tMKbX9HjVVd32Tgb0mlX6Wsf3/MJfI9hqAl8Z+9lAI8iSRi7ZTeKU087IbX+SJlbYiwFuF2SMmVu0MolTHzPUvEN1UpMoxIz1RyyebbN2VaP93zK4wuPTLO8UueCOcGODYKtG3y2bRCct2WA9lf58N2awyfqXLRRMtWQTNQTpBxyasESaIkUYK0gjDQ7N7R5mIR2T7HStpxdrnLRtgrf/KoWH/uyz9GzAZ6OEMLD2DpRLLn2vBV2fnubLzzW40NfmObRo3W2Tglm6wn1SkLFFwSewPdcrKIVLnCWIq/JsLiLzFic05I4wGcgjxMn6RzYIUxcrUuYJY9iQT+GTizpxNAPDUlvyLbZDq+8ZoVvekWPN1xn0KLK8mqVMPIZhj5h5BHGmsS449BrnZxpN3e9e9P571Th8K3v84N/nJryfxSALy+v4vv6ez71ubt/Zd+zz2yYrBikcAdUpk6JEgIlBF4s6IoKrVDz4Tsr3PVUh2suafPtr+nxxhtazEwG9AcB/aFP4HmEsUcY6TxQimNFlEjiWBIlgjiWJIkgMaLQ2kaQqxJLnkhSyrkOnjL4niHwE6pBTKM6ZHaySz/q8+WnLR+5c4KHnplkyve4Yqtl87Rk44zPljnJto0h529d4amjfT517xwTSjM3IWjWBc1aRKuX8LmvVGj4FiEcsPpDzZtvGvLZB11NTKtrOLei2bahwVtf2uWhvR32HPCpBzFKCgdyU2MQOq3/nbe0uGjzOT58V5sHnpvk+EqVTU3BRMVS8w0VbfA90EqgJGmCzH3vrPzIpFLNmGKFi1OgO4KAKBFESQrsRDCIBb1Y0E1wMU8YUq/2eOtrl/m217S59qKEjVMe/UGddtdPwe3OWZSSUpy4IrFhpOkePrRhaO77lR0XvML0e633V2tff5B/XQHearXodrt4Wr7rzrvv+43bbvvyzLC3ymRNuoNmQEvH3g7k4EuoSOhIj56nONkOOP1gjQef7vKxKzu87ZY+r7tpwPSkTzgMGMYeYeQRxZooBXqcuAMXJ5IkKQBubMrcpqgpE8KmQaWr49Da4HsJgR9RDUIa1T4Jfb70mOQv75jkmSMTiChg15Rl86RldlIxN+2zaVayZS5ix6Y2JxY6/OGn68TDKtu2CSYbmmYdmrUI4YW0+3UmGxYhBNZCFEumA0VsYjqRT6eXsNJWnFqoctn5DX7wLau8+68Cji3U0SpKLwxNHFcYhJJNMwHXXtDmyvO7PHvsFB+5s8rtj05yulWlHigaPtQ9i68tnnLHXMlUkpXOlwGscRddYgSJhTgRzj9PBGHikkT9RNBPoB9b4jjGRENmKn1e/+pV3vHqDi+/ImKi6hFGdVZagZMjsXasHan0XLkVN0nPU5wIwrDL/OLdG1o9/RsXXHxdfGb+9J81anUaza8f0L+uAO/3+9Tr9W965LHHfu/OO+9shsMOk3XNMLIpI1gS6dLgKhZoadGJK2bylaGaCHrKpxdrzg0r/N2Dde5+psf1X+zy776lw6U72myYVDRrmjDyCWOPOC5AnmQANxJjJdY6SWDzgDJN9SvrglgdE/gxngpp9yMW2hG//YkKR85N8dieSazxmakKNsxaZicEM03FzKTHxhnJppmYrXM9ZiZX+MLjhkefm+TKbYKphqRRkzRrhno1RHhDgkCjlfv71kKSSPpDTX8QERtBp2/odC3LbY/5pSY3XtzlJZet8uEvVqguK7SMHCCtJk58wsj1eM5OVnjx7i4vvqDLw688zbEFyZ/fPsm51RonlwJ8Jal7Aj+TYdKtoDmRZ1IFx+SxFcQGIiMYJjCIITQWkhjiCKmGbJnqc+VOdz6uuzShWdXEcZ1WxwE7ToHtVtjMlpSEcZY1dqtsFDuzoNPvcea+u2fCWP/eFVdcvTIY9D/19cTk1w3gJ48fZOPGjerjH//oBfv2HWh2Oi1qVY9hmCCl03QqjdxV7Ow/nYBOBJ6y+LGlkghqStBXgp4O6CceS2GV2x+d4P7n+tSDIf/mDS22zcTs2tLnxss7aOFaxIRwcsVlJd0yaG2JuUkTR8J55pYYZMyzRySP7NV85qEGzx5vEMY1GloxV7VM1y1TNet88KZmekIzMynYNB2zZa7P5rkV7n5myHs/s4HNk5q5JjTrimZd0KjFVIMh9+9XDEKNV3egslYQxpKKVlx9UZ8Hn550hU/9hNW2x+JqwNnFKX7wjWc5ubjEg0/M4UlARBjIATQMJd2+ZqpRYbJZ5yUX9XjllT2+/eYF9p4wfPahCg/trbL/cJ1YaIZDRS9SqLz0oRx4pjkBa4iNxRqDJxIm/JAKES+5pst5mwdsm4145+uGVH1JveoRhjVaHT9dSXVKOCr32jNwZ/dMRka5OeBsyk63xYMP3t88fWb+gre+9W1qz979yaWXfH2aJr4uAN+79znQDf/Zpx/5bk/Fv9ntrBB4GoHFagk4T1bGKXtLgYpxEiGx6Bg8KfCMJUgsFSWoJYKhgUHi0U88ekmFTifhNz48hY0jNs4NuGzHgJmJmLfd0mfHhpAoEqnellBiblL9KaVBSMHH76ry1KE6QmuOna5x6myNSlUxEQgm65ZmxdCsQKMqmKgpmg3FVEMzMwmzkzEbZwZs3dAmsat8/N4m/W6dC7dZmjVFoyZpVA2NSoznhXzhwQrDnsTb4LpFM4lSrypef32fex43dIeSbj+h3dOsdjTzSzUuPa/B217e5rFnaxxbbqCkAaJUL3tEiWIYucRMd6BpdX0a1Rr16pBLtw244eIBJ861OHpmFe0lPHlY87E7awjlCtcYnz9oDWDAWqIwYefGmHfc0me2mXDxTsvGGUhij2HYII49VtoecaSIEp3GQQ7QGcAdmDNgizROKoyAKHHuVxS7itH5+UWmprf95oMPPdy78tLdH9i397nw4ksu+6cB8KNHj+MHZy9aOHv6Pc889agEidYKaxMsWaGUq+HWMcQSYmmJjUDHTidGicVLnAYMtKWSWKfTjCVMBEMjGSaS0HhEBha6Te58ymBJ+NuH3MgGrEnvWRYvtchEVpEokUoRRxppNJ6WNAI4b85S9wy1wFALoBYI6lVJo+rk0ERDMtWEmYmYuakhW+Y6JKzw239T4b6nN7B7BqZqKXvXJI1qTK0aUq/1qVZrBMp9fyFcsGsMRJHHoC/oDxM6Q0V3YOj0jWuZq/ucPDvByy4b8qNvP8tvfUxzfDVACIO1ESaxRLFHGEkGQ1fG2uhr6hWfWrVCLahRCSIa1ZBrLwzxvYjrLox556t7aBXnCTUh7KgoTyWdMRIhJIGnAJ/BULO0ol3dTpLFPOk9lkUMlBauZeDOnK0ssRSnpbxRnmiCKEoTb9bwyKMPy3pNv0eL4b39/uCZrwc2/5cB/tGPfQKEru7bd/DWQ4cOCmFdPYeUoLVjiaJBwRJLi0osKgGVOG0YJ6AT1/sYZxF9GpTmkb0RxWsjCI0ktpLEaCITkKS2V/mWZykFaCFcplJBpWqpaEtFJQSesy4rvqUaCKq+pFaV1CraAbwumGwYppsxM5NDNkx32bJhifd+xvCh2zeyfVIx2zA064pGTVGvQa2a0KhGnFkyHDoTUPHdygVZpZ9gEGrO22TYNDugPfDpD2zK4pLVjqZRrdCoTfLOV5/j8Jl5/vhTW9FSYzEkJiE2lijWDENFP3RFUb2KpDbQVAOPapDQ6rgYw/cSlzDzErR0jRJSunS+SO+udMWVcDqQC1omrbI0Lq5JEokxktgU8U6ciFKAL/IAMn+M0xr1RKTvp8ml9HmUOD9eCkmt6nHo4DNCMrx127Zdh75826f6r37d/1oj8/8ywOdmAr/dXvqp1urCT5kklL7nqgCRAoFMkykO2FIalBQk0tlzOrHOWUmcX51kyQdj09c2f694XlTKOS9X5IFSWXPjPkLaIAFaGrQkrWkBTwk8bZ1vrAWVQFLxJdVAUa0oGlVJo2aZqCdMNmKmm0Nmp3rs2LjEQ/uHfPiuLUxVAjY2DM2acOCuSuoVQ70S06gNeWgfPLm3xgVzNtW9Rdq8P1Rcd7Hlwh19Hn5mkt7Q0h8kdPs6BblHrVKlWpnkW1+xzJP7z/Hgnk1gFcYkrhw2tsSRzetJ+kNNbWCpVhQV3xD4HoGfEGiD1gmedtnhrAzC1f5YEBZBoeeK4NyVEJvMkTKZ/VqyYjNgGwfg4nWWLS3uSbpCZzZknJ3zxJ1LKSTtzkAePzH/XyJb9SuV2i8D4QsG8EG/JweDwS988hMf/j87q2f9elXnK56RDozSSISwKGOJpSBRLqGgEkuiLNq41+7AWUxC/jzJMm42y7xZTJqJy5IV1lpKmfeRFTdLVWcJHSXTjKWiVLTlsn+Br6gEimogqFUFjaqlWUuYqMdMNobMTPTZMrfCg/v6/MKfbuT4yUnOnzVM1qBZVdSrinoF6pWEaiXC9wa0Bq4a0lMWKYtPlhjHcFHs06xG9GJDL62z7g0SOj1Jq6qodQIqQYNdmyJ+6btb/PwHJV/ZsxGLwlhDkhjiJCaMDWGkGISKfiCpDhUVXxL4lsBXBNrgec7v18qmtT4O4CqVKULY0QbdNLVvUxKxaS1LkgI+McWjIyOZPooC4NnzpCgNyFbnMoGZxDVqAIgIDh097Qtd+4nv+I5v93q93s/WarV/cDr/HwzwdrtDGMW//MjD9//7hbMnK7WqyiNya50UTqz7Yko6wEppHUilA3eSgttkz43AGJunkU3u0YI11nWR29LfsLncHgF4KrvTwNJJFFdT7iSRTlvRPC0JfDcAqBK4kQzVwFKvGBq1hGYtYqIRMt3ss2VulQf39vj5D8yy7/g0O6edw9KoSuo16di7aqlVEmqViCgJ+YsvNpBK4Unn+ecMbrMl3OM7X7vCbY+GdMKAXgrwbl/R6SpagabiBwRek4u3x/y3713i5z4geOCZjRgrSYxLq0exKzQbhoZhxZW7BoGg4gkC32U2fW3zjK1WBqmcNy6FdY0SGcCLlKcjKps6LUakbksayGcATqcOmDy5Rsru5CtuUga2ISU00ixqerfuHGcYOnz4WOXee+77D6++5WbR7XR+ut5o/H8L8KWFQ1hjXnLy6ONVXw9BS8eueeUaKAOJTD3WDOh5ejgDd3YlZ1/U5tm1rP3KAV24OooM1NmBH/tcGcCzGowsk5ext9ZZ3YnE86Sr3/AFlcDNPKkFCfWqA3ezHjLZ7DM32eKhvT1+4f3TPHtslm1Tgpl6SZpUNPWKq1+pVmKqQYjnDTm1NIWnRFrrnupb0tUokcSxYvOUJY4j2lEl7ZQx9AcJnYGk2lNUfA/fq+DpCS7ZFvPfvmeB//wn8OBzG0iMdABPLFGcpExuGAaGSigZ+CqXYJ4Hnk6dKyWdRJSkMgVE+rgOxp1cIU0KIfLkkEmTQ1m2OJMaxpQBDiaNp7KygOx85wC3Nr1gbH6Oe/0+d937cHXj5u0vkfIfvuPEPwjgh579LIEe1PY8+QW/opexdZEW7YgR9k1M8WWVyk6sIJGOqRPNyJcsgJ3JkNLVncmR7PnzfDYpiiIqKUFKkYNbSZk2SmTyBCoeBL6hWrFUA6efa9WIZi1kst5ndqrFowcG/Nz7pnj62BxbJhVzdcNEVdCoSGoVRa0qqFbcxeFS/SEP7hF0Bz4VRXqRpW14tgg0o1hTryhuvLzDQ8826UVOpvSHCb2+ohMoAl/he36qnye5dLvhV7//HD/5R/DAng1ERhIZkzZLFz2YQ18S+Maxt1fU0WuV3UllSiHjZJrlXQ/kWVLIZgCnWKVdUMq6K69JpYgpkVhiCqCXC+Gyc5+k5c0rJ5Z57wc/5X/bN7+h9md/+Zneu77jTf/4AO+uHqY2sX3y4NMf+0NJ9xVVP0TgpUVOolieSlra2GLZcoxdAN8osT5rlwBtcmCXxkik2js/GcIVFAmZgjstMlI5wEGlFYOeBt/DdQL5aYFVkFBN5UWjOmSi0Weq0eaJg0N+7n1TPHl0A5smNXM1w0QV6hVBvaqoVRW1nL0TKkFMozbg7id9VlsVpqaKNHkGGGMyZ0GxYUbx6hd1ufsR47poQlMCuaTiSSqextM+WleR0nDpdsuvfP85fvKPLA/s20BkNFFaAejKXh2TB5HMqwt9LdE6LcKSAqWzY0P++bKLMJMqIqtKg1H5Wbqb0qMxpcd85R0FtzGjLF7UwhTvx2mxV2+YYFX/FU/tOfon/+4H3v5DL95zbPWKS3f+4wLchEfpLZ/6ScLnvk3aM1SCOogEJZ2Bn6gU6EqkV2+q21QpaDTFFZ/JjySXIeTsPRJIjjN3ivQsI5drb5lV0BW6O6sY1ApXn6Etnucaiyu+oeInVCsxtUpEvTKkURswPdHisf1DfuqPZnni8EY2THpsqCVM1GwK7pS9K5Jq4Ni/EsTUgpDYDOmEAUJJvIzBcw0uUnZL/eLIo+4PXLlAWGEqA/kgoec7Bg986WridbYBreWKXZZ3/9BZfvwPDA/s3UhkNMNEECYmZXFBJTIEnsX3XO+qTuMOrVyJsJIyPT5pV372WCrMyi/McqwzBu6chErEVAZ3DuoykZXIbNQxSwEeuXqYg8eXoHL023bf+cShwTD6z/+oDH73o/u5/+iunRdXfv1KkRym4msSk2DTfIGULnhSyjrGVqIUOIqCuUs1ydloNJsFk7YIxAqmKLKStrxmZqxdDiqz5Tbt0FFpMKV12hmUFiFl1YMVL0l1c0S1MmSq2WOi3uHBPTE//d5ZHj+8kbkJzVw1YaJiaaTgrlacnZiBuxokVPyYZj1kz1HLXY/V8aXEUyYN4gqPIlu+o0QRG82rro244Pwuh45XmatR9DkOE3qDlIW1Qmsv73ISwnL5TvjVH1jkP/+R4d5n5xhEVZcMiy21tIY78HAg19nqZfLeVqmSfIVTUpQALkogZ41eKUBuRwGeVygWK+96K/P4e7kNXApGs/pzg+axffM07/zKle//r2/f+e32mWNCXPH1B/j8/ALTk1O77vzKg/9j35nBN22pxyB8tDQY5Y6AlBIpUxBLW0TZmVQxmRwRa5a0zB+2uac95pKscUtS5h4Ht7BIldmCac2LSllbW3xt8DxD4BkCP6bix1SCkFplyPREj5VOj3uegV/9y008dXCW2RTck1VLoyqoV0TulTvnxTj29h3Aq8GQMEkY9CtUlLvIpBAjlXxZIsUFmtppeT1kGFrXlZ4D3OD7Cb6n8TzppgpILwc4Aq46T/CrP7TCb/xVzAN7ZzjdajKoSyYTSyO2VNKJA4FnU+8/c1Jszt6ZVMkAnn/e9EOXcZ4rxPSkZKtqAe5RSWlsVrFoS+e7AHohTRhl8DQwlUJgBj1m1blvOnrgqWR64yv+w9n5+aMbN236+gLchvvptqo3TMg9t86vnmTgV92oBelKTjMvVYqUrWUJ3Laoy84kiQO1yCNokz0vSZEywLNDXFaF2Ulw4x4y9rapPLGl4UDuM3rapGMmkhzcgZ+Ce7rLwkqfX/mLGp/6yhyL3SnmJiRzlRTcFae7a2lgWQ0ktcCmDO60dyUIgZA7nvBZiXxmAkbqsRGjK1SSuOaHZqC55ZoeD+4L6UQBE3nHusEfulp1XzuAa2VR0kNIl6DBwiXbJb/179p89sE+v/z+jZxcnKI/qZn0BY3YUIshiNzoZV+5gUZeFmhKkQfB2WM5UC9fmELkvSL5+YExCVkGdil+MmXwl4PQEovnXUap62asO3YzNcmjjxzhoxu233rttRv+ot/vHf26Mng47OH51QvPHLv7x+g/yeykxhjHIkqCIBv5kDG3ROVyRBZNB2WtnYM6kyC2sKHGWbssS9IDnTFLlm7OXACVAVxZV46rs95O19/pewm+F1PxIwI/olHto3WPu59M+JPPNfnMfRsITZMNTcFsxckSZwFmPrlK7yJl7jJ7R2g95P7nJumFms217POMM3gWZEuiWFHxFC+5tE9sHMDdbJHUDQndyDVPZxanSoHoso8ObILZScG33dylEZzm/Z/rc89zM8xHVXoVSTO21LV1INdpHKJsGpekxW8yO4aiqB2XIClYfHxHwVyqZCMqGNfm5e6hovbcZnq8DPwyi2c4SadfSAHtfsCnv/wcuy+8+Me++Q0ve7zT7R1o1L/2SLivCfDn9p3gzNEvoPTklpXF/a/s99pUKxKlTNpjKErMKVCp5s7Y21qTT40y6eOIHMm0NmkyYQTYJeuhbF8JOyZNsqwcaTkA+eSrjLk95WoxAi/C9yMqXkitNsD3e/zl7Zpf+7MNHFqYxgsqbGoIpoOEZmCpB1BPO+yrgct2VtKEkKtfSdKVwMmTxXZCN/TxlcKXNg8wKX2V7MLOajfC2KPqDdg02We116AfiXTcmosVPC9JbT6V2p3KAXwkcHWVj9/08i7XXbbAr/75gA99YY7luE4v8Kh7kqZ2NTiBBl+RN0PoLOmTrnwylypFAqhMKqNipQx0RlZgY0elZqHNyRN2ObhtsbLn3nr2OwK0krRWVnn0sT2vTKJ4y9mF1oHu6knqk9v+FxncJvT1LbvC9pPvHa4+ylQzxiLTGob0i0knL1TKStY6gGeOQZbStaaob8iCx/wgIEqSRIxJkwzctmATmUmiEsClGyAkR5g7SUEe42snSQJ/SOD1OXo25o8/W+eT985w+OwUzZrHdAWmgoRGYNPUewZumYJb5kmhSqq9A99dOM36kE/crzlwrEolncCVt4tRoDwf42CdDo9izSU74U3XdfiTz8/QrWma6eyRIEzjBmXQWqZj6yiB3CudK3f8d8xKfvpf97jyvJP80WemOTw/wXJcpedp6kpQS4HuS+sunNRlyle/7Lhm9iFOnxeZTrvWJ8+IydpRJqcsy0az3CO1RKYAftl4yLjNBZ+KOx/azxtvueK9b3/LK97QWmp/TanyVQEeRTFaK44ffnTboLdnt03aVOoCY5PiGk6LcizO/tNpuaVr9C00d1G8U8gVW2ZvK3IWoPRvkzF2BnJRADvT/FmlopImdU0y9k7wdOw6d3RMEAzx9ZBOEvKej/q8/7ObOLU0iVFVpicU075lwjfUUuau5el7mdappNIk9c5zcPsuezmMQg6cDOiGAVNB6uJkSafMlciysLZUkxJpmnXNedtCVDCgEzbo+4JqZBlmANdJmqhRzseWWQnwesGrYm6ixw9+U49bXzXP+z/b5o8/PsNiv05fV6hoRU0LqsoSxNaxeVqnr2VR3pBlOdcwOevIlXGHBRiJpTK9XSIyU7rnKf/MTctWgFKFjLWas+dW+dI9z+0Gf9vLb7r2aBjF+N7zw/irAlyYY2Cacxtmw49G577s2QnXFVMEGWXgpvLEOlmSSZKcsfOflYCdAr5gbIFd95PYkh1oc2CPyJN8YFDiAK4TtErwvYiKH+J7Ia1ByP1PSf7y9iYfv3eGQdLA931mfMGkb6j7llpgqfkFuCuBJAgkQSpNXGIodSZSgPuey3weOWO559EaYeQR1O2aADO7lVc1Y9wIDM/TvPq6Dh/+Upd9J+v0K240w9Cz+DF4kcELDUpJ51tLgRSyGO5DcTwTI4mNpBZoNk72+fFv7XHpjiEfur3BI3smWOjXGSgfz9NUtKAqIcgGLGX2at47SwnkozUr48VZZUbPCGrcEcteF6xd1BeZrNYlkzCULor0H5XC472feMK79rprPnry7PKLlla6C/9gBr/zyc1y68TDN1ww9ZGJTTNn6PYbJEalH1aW5Ebp0ch1QV2WJfk9A3Z2pZYYfKTwx/XoOCbPU8omL/d0utuiVeIArpJcjmgd0epG3PeM4E8/3+T2xyZYbjWQ1QqNqmLSszR9Q82z1HxL1Sdlbcfc1UBS8RUVX1DxSSv0TApuQ+A5/a30kP0n4VSr4hIrKmuwZsRTTr9u2gfpQB4bSRhqNjYFF27v8/TxmF7kMUxnfPshDnwqm6ybJWpciWn5VtQCpfIncfXh73h1n9ddv8KXH+/wwS80eWRPk6VOjZb06foaXwl8KQikawTX0u1Sp0RxkSqRlv2uw+Br6lfGmbxEaIZS4GkFCQVzJyngEwsJBeDdf+Mynrbb5n984FMTv/YTt9xw3RWXfp6vMjzoqwK82z0ZPLvs/8H995+uv/KykK2zHYaR70CcNvYWrCxHwT0O/Ow9k+nQEsBLB2SEF0akiaVcoC/z+vJ03JtM3ED8zM2QEQudmLsf1XzuvgafumeCc+06olLBa3g0NUx4rpOn6pHKDqj6Ir3LtOQ01d2+IMjYOwO4jvH9mIofYm3EHY8FHDtTZXZa4EmT6lhRNPqW2C4vP00lRX/osXOj4NXX9PjkV0K6kUc/ElQ816/qp5OlilVK5X41Qo7IlPL5SNJ7HGuqwZB33NznG65b4m/v7fDZ+2rc/VSDc60afeHT9zXaU2ghXAuhlHjCplLLohAlaThqH65D5vm5NaVHk8rZXG+XAB2nDB6n4C7KobNkSQJxyO6Nq1y25dn6Rdte+Qdw6lKg/w8C+DN79rC01OEDfxHwn77P58ff2UN0EuJEpwBXowC3ch0pIkfAPnISwGn4dWoCRwLKErCFMKkdaBApwLVO8HVEpRIxGCbsOwVHTys+8sUJPv9Ik3MrdfAq6KZHTUkanqWhDVXPUvWg4jlwVzw3k9CVmcrSXaQ/tynITQ5y33PtaYdOG54+EoDnpcu8LaXoxQgKykFYkmQ1026c8xXnDblsW5e9p2r0K4JaLAgiy1CRWnsmZe/MTcksyEKr5D57GvQbo9LpAx6D0KNaHfJdrx/y5htXue3RLn/9pRpHT1fYe6pGuBoQB5qB1kjlpvoqQKePGZPn0oUi+F9zs6NaumDitAoRcnC7n7liK3dlZO2H2T123f3dkLd9yyr/13cOiFt7WFid/GoQfn6A2/iYGAz7P/bhv3rv7He9cZULtidEsSGoDKgoiQndIJesi70M8DKo3ReTFOn2cXCXLvkRRrAlzeeSGvn0WeEYOwjcJNU4SZhfgi/eqTl0sspdD1U5tVLl0Ok6BAGqpqloRV1b6to4F8Fzg/MrnhvX5kCc3WV6VynASTV3Cm4vIfAce7sLK+TIAuw5WsOTo/ZgLlEo6sFzRyFzUkza1xh7XLazz4UbejxzOKYXezQiwVCDH7uZgKoEcCkFQsoRJi+YslTGarL6c9dHGSUeQ8+nWQ35ztcOefmVbU6ttLnjYZ/DJwJue6zG6aUKSd/DSE3kK4SUbqVIu/IlacYTctmyHshHAk3KWerMbcnAnEaipNEoWY9tAqGBKEHoGOXHHDgh+ODtdTrdY7NvfP0P/tgjz5x593VXbF43fHtegD/5xCeRIv6217/sqXqz1uOPP1nnr79Q5ebrB1y2K2LzlOGCXREVBEkoMTimMKbE5mWtbYp+v4zFM7Ye/WS2FLEXrJ1LEZXgBQlRYjl8QvD0YcUXH6rxzBGf545UaQ8DhmEAno9qegRKUFNQ04ZqyQcOdFankZXNurrwIJUlvq/wfZleALbQ3l7iMoue0/kVP8KakLPLkqEN0FriS4su2WxjBJ6DPLGj/Y5h7CHQzE2HSDWgG3n0tHBOR1QUjGllRjKQUpSi2GzYESJdZYvWsmwwkpeofPxEb+izaSpkx8aIa88f0g/7/JsjLZ456vPFBys8faTC4eMVolhBoLBSgZAkspQNypMU62iVEXGesXOZpXPYp1ZLUoA9StAYdu+K2Dodccl5IbdcP6BZtfzhJyd54qkz9Ynpz39b4Kt3/08x+HPP/iVHT7fVH39sn9gwobjnsRme3hcgBHzx4ToTXsKObRFXXBzy2uuH3HJ1CNZ5zdW6xZr0SxtBHDl2zwJJF0xmoBYjB0MI9+WFdHUjCIOQlii09AaO0Y+elPzV7QG9SPHEcxUOnghY7PoMEx+0D8pDNRW+FFQV1JSlonDjzFRaeKQca/uecEmPMrg9iZ/KksCHwCd1TVzK3NMG34vTjGhEtRJybiXhiw80aHUCpiYEOvXis6Iv8XzMZkoBoZEMh4rZGcXrbhxw2yN9jrfq9D3pZIoGL7Z4UeZZpx67TJxdSHnWicz/hrG69Dcc0P1EkWhF7LmxD1HkOSvVi6j7ES+/IuYllw556ysH7D8heXKPRz9UfOiLNY7MeyAkvb4mCVVWvonVGcDHLKNy+nYE4IA1iMQijMWmzF2tx3ieQWC45eohr71uwOUXR+zcFjPhwWzT4WDr9Ar3Pd7jlus2X7b90v/67nd96/f++FR97c706wI8igVb5ibec3oxvupTX97I0EqoWqw1LPQSFhLDkWXDA88kfPRLMXPTMdZYrrko5B2vGbiqsMQyN2G4+oqQeiVdfazILca151zkw3laPcGTT2mW2pJqRfLQHo9P31thECkGkeLMvI8Rmsh6GOGB1ohAo6XEV4KKtFRSYAfKEijrasB16vnqgrn9rC8zB7dKezRFzt6+Z/D9rEArydnb9yOUCrnzccUnv9JA+drZbSP6+/kZPPPCkyRzPBSDgcebb+rzqfvbfOiOCbpxhXqqw71Mh0dZUibbGcON5sgAlpa+lbR+CeAmHe2gHZN7WhFrjY4TB3SVoJQbpD9Vibnp4pgbL46wYsjbbu4xiNw4t7+7N+DhPT7VQLDYVjz5jE+7J1OVJHheUZ7vPOFaA6++OmR2MnHdQInhHa8ZcPWFEdbA3JRletIFtwiFSSTDvlMHl+6EC7Yaji4eqzz06Jev/Hsz+On5Lps31pq//gd/c/Hpc3UVezrVjqkeUu7RmIShNZxtG86uOu20/7jh03e6oMAmlokpww1XhTSqrv533fRk+VJPXYfVruKRp33aLYXU0s1Esdoxk9CuPUhqkBopJZ4UDszSEkiDLx0QfAW+Kmb0OZCLouFBu0aArPG4DG7H8GlZrZcxeFK6xwQ6wtqQU4s+4bBCMCHx07S3SmtzRrKYgoK8StZp3p1uFGHkMdVQbJ8N8cWAfhzQjwVV7YZgZjUkWUJLyXJ5q8z/lvsbqatlTJE9NSZtPimkURwnad5ApXPZY6I4QUUul6BVgpQx22ZNumIYLt0xILR9pDa0WoJHntas9iQqVyyjQfUIoVsXTNYrlpdcFTExZbCxW9mrCpQrn3OSNxaERpEYVbh0RmGMIjGCyUCyYdO56ubd39G0ttsWov7VAS6SsywtqHd3Fo/cXEn6bKhqOonbVCg2Xgp0A7I8aMcBPLaWlk31lDK0Vy1n7qyXvuJ6AC/rt/TkCIHJtlwgrTkVqghypEytrAzUadpZkm7cmvnGpUeddtIr0q33yMHt2roUfgpuX5OXmDoGT1lcG/w0O+p5EUEQcWLR8Oe31UH7eFIUAWYuT8QaBi/7w9mQUAc2N1gnjDze+bo+f3t3n+fONugmHrXYbUrrqgBt0YmjspxAOdjLShczKSRLBV7Z3eS1MForvMTNS/FSoCtZJM1c3Xj6XGQ7cSRoYRE2YbZm+MaXGdwWkOk5Ftn+GWsdsgIOAozGRE5WWSuII0GU28+Z7Twa3yUmDZYjzXJbsjp/9ubQP/VuY5If/poM/tCjn0Uq6ffDowjhlnchwE9gKNwfT6yzCO16AUMGcGtBWRJvpFphne+bsVsG8NHgRUiZt6ApAZ5waeVAuGpBT7rXWpLWVKTd41khkaY0B4V0Z7aiq74AuMxlS+DbvKXN901pcE6Ml7K3ryOkDDk2L1hoVxBaE0hG5Iksf63S6S5LhxHgpU5HGHvMNIfs3NRn7/yQfqIZJBAkAi+xeHGqw2NyZ6lIoauRToUstnM5i6wsVZSkkUEnhkRJlM62L1dpsVqCVCZdKUxhzaYgF9nfxhXeCWlz1ysDeuaAFRAoWuAox2NZY3NuTKSOXLrHkLFF+Uc2XStJFJCw78hBDp39W3+9fM8agP/BR88gpODEKYgSSZBuhaGEmx0YZVNI03uWlbLp0gPl7bezLM5XkSZCuGU1SxwIgaRIEbupVOAJiydS0KYSIHuev5eSfVEKSt5g6yvhwD4Cbuke/QzoWfCZgjvr/tEmlyiedvrU9yNiIj57f5WzC1W8CYVfruEoOyiMKdJy6jqrsiwlfQZDN8H2jS/tcv9TA9pxhZ7WVGNDmKbTlSwKorKCMyEMRedQFmiK3JZ01mE6U8WSd1xpI4iVQCcy3cXO1fLEKdCLZJrJE2xSmlLizeS74hXgTm3efK+Y5zn/I1ns0Qz3aA5FpsepkFZJovC15SWXtEEdWPefHwH4ffd9kWaz+rIP/fVd13XPLSE8S2SyzVGLEWhJWmuSpVIzo966a7nwPp8f1vlJz6vVBKjsUVg05FabSlPGbr5JoXFVBmzpRjBnoxDKwM7noChcP+J6AM8Czkx360yW2FRvj9aS+16E74XMtwyPHayC9t0IaGnz9HzO4IyyuDunouQDl/tSZe6JR5HHNRcMmZns01qp0YsVNQVe7L6LSocnqagMcBzI8z8kxyo1Rdo3mYJFuVJmzwgSJUmUcT21KcjLxWtZOYTMQF4CdVYyITB5rRKisHspJe1GLAZbHI+1QC8BPp+w5QCfJK7WJokVYaxo9wL6ycbrJjff8LI773jtfTff8o3rA/ypI318P/7Gk0vx1f1hiKc9bOw+kDDOfFKi2P7Cmfa2MO/HwD0OcpF+t7KZlF3lWVasAEdxUY2XcOqsNiKtAc9KPV1zcdap4mSJyrtXCmBnzbeOvVPNrcn1dmYJOsYuwO3l1YkRgojP3Btw/zMNZKDxpXDzt/MKwqKNrqj4G89mpicuZ3GnLxOj6A88bry8z5te3uGPP9MgTAK6iaSSWIYx6cpVrvozqZwzYxfU8zE5GC3zVsIM3Ilytf6xEi57qYpanwzoRQ2QLUA+km3OmDxbpEsxmFhL5rYsW8aSgeMFfWUWj9O4BRuycbp99batS99okvi+dRn88NGTTE02XvenH7n9Xx86soixyrkaKdh0mhKWY21lJv8g7tPlH7LsGJSOd3nuRgbuDACyBApJUfNQHm2QMbfbgiR7Tcrg5G1YIyyedsN4ahTcbpzCGHOnPZt+2t7m6azhIC7dI0Ii/vqOJokNUHn2shxgFn2NmbMxosEZa9cz0k2HSrJgUyPweMctPf7is0NWTUQ/qdBPBF5MzuJSWmQs8qIzZxeOa1FZnDMrSiAXJDod66BSkGtX168TSaIsKnEVjC57LPPS5MKiLFd3FmXMeVNKDvRCqqyRa2Nre1GoVaw85J+7GA6a1TUFnoBkmWho/vXGHW+6q7V86raJ6a2jAPdVAja6YGMj3D0V9FiONWFCvoeksBaZLXMUxetlUH8tWZIBPGfykjzJgT5Wnplr8THNmYG+PNtDKVFo8bTibmTYTQpsrUThpOR2oOu4d43JNmXuIsDUJfYOvJDHDkoOnK5glYeSEl8a9HidRkmAj7so2T2vmS91PWWOShR77N4Scdn5Xb6yv0qkfPqxoCLBSyw6Fql8S7tw4lSHI1OxWP6TosTioiSNilEe2RwbrUwK7rSdTdkSuLNaIJuWCWRMTr56iBK4EdnErPXZe73beBlH+bMXU7bS/lxhMSgOHLUsRXZ3fS68YDhMblvD4HX/NHWvih8s0Y4MvUgUo7xSfWxFVjuwtmJsTWZy/Y89Ik1ywJeBXgK3ymu+C9utkCzCdc+LAtwuyBR5t7jOwS1HAF4e/uO67cmBnWcrc+ZO8LVL7LiuoAhLxMfuqLG0VEUE2vnu5YtwvAalIKcRizCbJlCu4869aeNssNlpydtf3eGxg02GSYWe8qkmTotn5axKkoI7WytM6olnaXDH4uOsaNJ5j2t6Io1EmWxFsvlzB/B01ntarizS7+1ALYvmiHEGH2taGVnmn4fBy2DPsLamrFpaqkFMvRZyankJfWCRJCqKC3OA/9f3fJhqILjzsT5Pn/DY0nSD6PPNRMeuvvXHp311/s78/0KejD2WAV1m8ZHxYgVjyzKDK1Fi8UyuSJQeBbiv0wFAXrZ1YJrh1BYvT8Wb9HkyctfKde48dww+enuDofRRUqXZy9ELcTyDKZ7nSOVOSslNMSmDx4kmSDRvf+2AP/18j6cOV4mUR09K/MSk7pFAJrZ0nKxrLxPl9dSkf2t036IykycGdG4hutHWKi0JUIkthnXmc1lEfkHHY3pcUGJxUQSdpQG7JV3+1W+2BO4ykLK/oYQjomsuaTHfvpMDR/biqWQU4NbuAS6p/edff/d5p1ZOOv/dFowrIe8c+eqfpozk0ZMqxPjztdr7+SWKyIEzPg5Zlhg7CzKzqU1aZ5u8ptpbjYE7S997WWOycTND8haxrKczTu8Rygs5cErTCX1QOpUndqw8dvzCHT0YowONxrzwLHgyhRave4KLtw546kBIYgL6xqeSuJptnWpwJdxGri6xlLGlIQsyCyYvJ1Bc2kLng03de9nQVG1IO4gs0hQTArLpWknW3Z8bAEVwmQeeY+c7A8qIZFvPYXk+fKU/zqbikv4daxXNIGHHpqnzBlt/vnbHwz/eu+X6nQ7gp87M06y3X/uyayZ+8rN376GrJnK7a3SfxfFwYBTX4z8TpV8qs3cGcoHL55SBUAC76GNUJVZUI0M1M5BT1EirEqjz52mSR5F64Q7cDsDFUCCvLE/K7K3Svk4/ZLlj+H/+psFSv4IIPCdPpB1ZVYrBOV9DtOU1RyLdeaXM4GnGLtY0a5of+eYOX36sydLQJ5SavpT4aQ9lMfIhZfByPb0weRmtxaTgNnnmsHBWRMrgNg/SM7ArKVIGd5IoyV0UcplS6PCinbCQKVngWQC5PANxnAzXMub4xWCxwvURCEEamHucWeiyaDf/5OzK0/fFcedvIWXwv/3sIRp1nzu+ssL8aZ/ZhiFI50nrbIZ0SaasVx237gcsA7r8eozdCg0uCpDLcYkyOpgmB7Z0W6bkE5pKoNZSolNJonOAZ5rb5EGlp00Obk9n9Rej7O2pCN8P+cgdHs8eqoL0kFISZKWxJWuzLOsQYt3jNT7cqOguL0AeG5lu8uRxxe4e3/TyNn/6+QpGB/SlTyBFnvRRUhCVArpxJhdlJh+z4HKpokBZtyq4Hlvy2Y6O1QXFWIliFk0xmdb1cQo5Kk/K5FgA+3mCTlGO5kZ/mmMvO855UlHR7lXYOBkzIU8TJk8hGZADvNNrkBgfTYXNDUsQ2MKKy9izDMzsr5V87TWfs/zz/CoV+ZfLHIb12LsILEXB5jlDfi2AywLgqlRDrdO6FI9ciniqcEu80nCgQnM79va0m1q10jL83Z0NFlsBVFL3RJSCseeRKGQ1ImPEtK5tV55KkGRuimaqqXjLzT0+df+ApW5AqDT9RKb2pEjdG1E0Y0tKy74DtrVF14/J2bzojdSZs6LS5+lsdyMhUeTHvQxyIUWp+z4b4plKkxE9Xh5+ZFkzFk5YF0yWVEJODLZ4LVILLls1jBDpKGqFSZpMzU0wN1PHJC681Pv3HWBubnrXl+566EfvXjpDs6ZQqnTlZV3hjAJ1/AIrM7Vdxz0YdU7WDs0cYe+Rg5UmTkaAPTr7u9zh4oa7MwrubGeDjLlVibnXMHg2bqIYOaGVy1weOSrYf6yCIUBInTfnFtWD5fhBlFyN4suXa1EKJhcleSJyJyNvN0s0WM0lO0N2bx6wtLeKTXzH4omTKbrk4hTsWS70yuqEZGHn2pTNbeGTG1nMKSnHNsq4i8ZIUu2dnZeCjHJwG5HOUsk0eVmy2fyCL/Bk8xdlKig3aucyJ8sqpBdXLCwycdvkWCs5dXoRKi/60S27XvXEyROHjurVfoRo9Ta1+tHrjp9epFmr5FdY3lj6PDo6B+9YbDDuHIzP0sgAXU5lj7xX6mUsnAlBEWwWgHYMTjoKuOyDl+/pltaqDO4SyNP96r20NDRjb5W+1jpCqYjPfqXBgcUq+IU88UrW5cgFy9pxEeO30TFnpYxdeXezrIw21Jw/G/LGG3s8/FwNjEecOC3uJamUTEalUs6cI5ZcCnJrR2bV5M9l+lymq4rM7u7YJ+mKIUXK6iZbYW1OTEXCp/zcrdzl9ra87SUH9zi+7JhGF2M4yog4k0QKa85QrXRfF6jWJuH3juowgjCCYeisIk8XvXaMAbz8IcYwvuZFmbnW6O4xUGevxwO0DNBiHWDnbK5EqQm3BO50PmGxbQdrga2LAUH5iDdtUpDHTp6oiGot5Cv7FH97Z53+wIeaRkuBJ0alyfjn/2oxS87mZf09ZhmWffEo1kw0NG991YDP39/joX0+tu7RTwJ8QX6hqfzvFzp4RE+mIB8ZqIMpLjDl2DyRTo+bEmtnQb1Jg0tpREl/i1KgOxpDFbq7iAvceyIH+vo4E6Ov8xd27c9TyVLz3SQCT7sDqn2ZoIhpBJYNE25yU370R07F+iguH7qR3yiz9RqAi1G2Kzkm5ee5FBEFqKUq7d6Q7cdZAncB8qxs1qJ1MUJZp5swaTUKdC9na3dXygWYvh8ShQmff6DGc8dr4HkIqVJQpXNDSsGlkKMntbyKidLhLLJyaenD2PzGvDy0ZBeGoebSHTGvf2mXJ49WGcY+ifToG4WfMPZZMi+cMQZ3j3bss6Cyi82Nw1ZZ5lAKrAJpCz2er6gSpCnNMjTFqiHHAT4el4yQncjZ+nnjueenVPc1UpXT7dVYWvWpTMBwKNH33n07ntYsLbfYOBPkA+rzaf2QZ5K+6m3sw4kU1eUTu0Zzsx6oM8YuB5jFDgSFNClZhTljZwAvJqfmEiVlbsfYNmdqnT8Wz700uNQqIvBDnjkmuO3+Gr2+D3UPKbLKQUr24DpZzNL3LJ+YrBbFoSutLFynfLaYa6Lybp9GI+T1Nw351N0DnjwcgPYZGImfanFl3Aa7ZWkgEnJ5QDKWQVSFk6MVhXSRjs2zVSUL8o11YJemSLQJU3ZT0nNuCmYfz3GsIb8x0K+B8TrwG4lh8kywYDiscO8DT6MfPYy1CZpkBYNAi4hGTTOMDHFcVJ3lV3j2j63/954H4GOB5ddicVkCe1lz5yB3eruczVQqrTBMKwpdO1f6XJfng4+BO7172RTatMBfq9jddYTnRcQ24TP3VbnnmSpUNEjX0OyVSnhHSmPL9/KLdW4jM7XJylnJm5ETm801KYA+HHi88ooeb3xZj2ePVYhjDysUfaHxEvLPJJKCxYuPsD6Tl4fYK5Uxt2Nz91ogjch1eO73Z4yerbYpg+dDO8fAPR5wFiAvAs8cz18jdinj0aaBeZQIen1BZ7lFnHQQwqKHoUFKQRS7pcbTLiJ1m3OO7Y1j147oGQd0HgevtxylL2QZ4KW2rvLOAiPAHpEq5TR96a7GwK1Kd11sgpoB2iuBOnNOnGPiHpWK8L2IJ45KPnpHA/BBegih8i4ilW6kKsfYKfs+RWgkxgDGSHFawdwlDW4FJnGte1kXS5a+t1bzjlv6fPGBAY8ccpMEIqPoJSIt+EpBl9h8+R8BT+mzWGsdi5cAk/1UpaA3Mt3PJwuKM+0tUzYX7jE/h6Y0sFOWLv41bkpJooxJuucF+Fj+oBhy5LYIN9a6aQgpu+h219lZUUyaNXT/shHZFNhsmwpbmmVSPkTrAz2PjEc0eGnK6pjuLqSKSJMFhfWUATyfk1cGedqaVmw25XZ2KAbgF+AeYe3SY9ZYm0kVpWI8LyZKYu56qMrTB6vgeSBdcOkLW5ocWw6sxJrAar0wqbDpshMmSq4Go1o8bWUzKuti0QxDj8t3D3jlDY7F+4lj8aHwGRjQiSgCvySzC1NHIimftaL7aty6VBKsskgrUBaX/bQCYQVWgLSikCqloLJg7/S8mvKFX5rrjhghwVHLcAxTlC68vF68cKGKAUfuvWog8Ty3SYOuVd34r8EgIRySm95SOJAXV8t6cwTH2bv8PLOE0i9S+mJiDbDTKz8DdOohj9SfCPK9d/Ldi7Pm25GGh2LrEqXGwF0aip+7JypB6RLAU4ni64gDZwQf/HyDYeRBzUvlCXlrmirvEpxfuEX8MaJXno+JsuclmVLeHMDY9bS4ph5I3vX6Hp+5p86+U+7iS4yilyhXZZikyZ/UxxWJKNyKEjVltaFlgLuy6HRzg1SjS2Ox0p0jK4UDuCnFShmTm3IsNXov71U06jLZERIs80FxKRaYK2OyvHNEtivEIIQwdr+r3/imt2w8sP/Az3zlwYeB4gNbK8h2cChYvDgxRflr6ZCV2LoIMMf2Xhxh63Ve5yAv2Hq8yEqWaj9Uzt4lYMssuBwFdzbbr9Db6XNpCu2dBpehjfnEHXWeOFB17T5Co4TLXOq0BrvcXFyWKeUL+qveRjR4YRVmPYjWGAfsEZBLjNGEA49rLuzzzbd0+Z2/9OkbDUYTCUnfuBhBmlSDJ4UsZMxZyRyULODF2pS93XlXFmzqfVtbgD8Dt7QpGdnRVSyTLGXpZp7XTRFrQP+8h2w9iVLaDUIIUCLmqquu/Jkdu87/AX3bfXsmO63lN3R6QybrQca9GGtToKcJr/wKtzm0RxdeMfLhRr3P4rn8KiDPl7oycEbqwO2I9s6BXpIkqqS9Vb7TQ2kjKmXHJElWKZjk4PZ0xP7Tkg9/uYabv+LYO+/cz/6+YGS8sCx973KgKcovclkyqnuzYqtik4DSRgEZsK3EJIpEpVo80Xzrq3t88q4ae056IEOskAwSD01aL5Id6ySlvyRL/GTnsiSdrHttce2J2WeTKXikBWmdbMlALK37G9ak/rhJA9SR1XkU7OtKk7Kkex6Ql2XKGomSmyESrYZsmjr1htlaZ1JPBAIRCFq+a+HK/iPhNk5zToooRuCuu7XImOE+stx8LVlS1rFy9PkIiwtbCi5Lz3PGtjmLqzFwu4msJn10dqBSBpX53SpGyRiVMniiYj59X509BwrtLYV03nfeQcO6J1Aw/nqcCEazCuMNyCOeeGkilTbC1abIIoUfRppLLxjy5pd1OfThgDBRIDSJ0PSFQCepfUcW6GaOyoiqLVbhjMCsQNmU0XHSJGfz7J6mxrNfM9IB32QyRZaZe9xNWR/slB/HD1oJ3CNNIyWAJwmAwRqYX6xiRB19+XmalVWFGAiiRBBGbiPOrGRcZNRP8Q+PwXuNlzkOahj/gmsTAes3N4yydvY6Y+0M7Blz50BXZSYvdLfKgkhZkiayGJqvVILnRRw+o/j9TzQZSI9sglbRNZ+uIOUa6LIkGTlDz3/LpwTn8Y07uCOz1U1Zg4uR+pTEaOLEI0hifvjWLn9zV41DpzWoKJUqHn0hUJk8SfV4HmyOgTzz5i2gswsufU/aVKJgU9bOPHEzwuY2/TtGCtfiWF6Zx8hNiLRC/XnY/PkOYVkmlwHu9rc3RLGh3YmYPAZLPYU+f/s8K/UWq+eGnFv1R+i+vDGUTZl8bU6zYKhCQ41HyKWkTlrlth4DloEtxlg7S6SMgtsUEkWOMrge8bcznV3W36W7dCzu6ZB2aPjjTzU5dS4ApVNrUKbyxI743vnz0gkaZanRRBfPc8JGA3mbVxYW1mE2uEeOTsGSiiTWbJ0b8v3f1OFXP+jTitzUI2slQ6OcbZhkn8NCIihswwLkxf+7n6j0KkznNxWPsnB8pLQFg9vSuUu1sF1He6+1Usc0+ZjM/VoEUQSXljixDMOEsysx9XN92qaLfnL/FJ02LK6eHe0jFE7DmRTENi9jLNF0tryNyBKKYHLsw7t9F8cj61HmzoBdsLYtBZs2DyyzxleliiBTS4vSJmV0k0sTJ0dMSapkjB3nj1pF6CDi458JeO/HmgyN5+SJULk8yZuKxyyxEd2dr17lsyOe9yRluCqswjLos5S9xRiTZzfzFL5xW4FXdMwPvq3L/mM+7/+00+KgSIRkYFzvpkzIGbwowMpQZEv6trArHagLyWJtyuaiAJcjHevsw5HEj5MxeV16igdTJrkRiSLWMrh4/iNYDjbdhVhsJT47obh0R8CmTVX0jVf0WFgY0F82LLTSzTdL/+qInh4/ZVn2qaw1018rXyyI8au3xNg5qMmzYAWT21KQmW7RXd4yUBXFTkqZklTJwFxicllUB+a6O390swaXV+BvvlxjZZiB2wHck057azEqT0ZWncwuK50Nsc7ZKWvt8omi5KAU8oRi60UzVicuJcoojNHEiWbCT7j1NT0+eV+NpY4CGYFRRDg9Pl5duPZsrs/kLg9UJIWy+pQs2LQpi+eATn1yY9eec5lSu1NJqZTJwV1uSh7F0tdi8uw7uAy3YLWT8MShhInlBN2LunTDPq2upTdw+jv7jzJbaeTfXwfMo4Hl2iVnPa2dBxrltidR6GwpRqWJzAPLcoPBaFCZDacpwJ2MBJhZkJntc6NL7O3VYj5zZ4WHnq5iStrbNTVk8mS03iQv02T0+4544hTHZu0tZc8RSVhsg11uhigPvkmsRNnCF48TD21iXnJFyJuu7/Hnn/VBhSAkVgiGRqOEcFuQZIGmKEA9Llco+eAq65HI7MPMNpalQjHpXLcR5rap3SyL820yEkvfkKVFZNQXHz1mRWgj1pJHelMq3e1CQqMuCWoRujJA//6n6nRWY1ZOGDbNJmglRuw7OX41jQF5PaCvp0ezpuWCSdZmwMrdKOVWqDKwCxclfa0sOh0xJmXqmEib6uqSJMkcE1mSKNK5J4EXcei45IOfaTDf8d1+19INeleCYseGsXhhzfcsJzLWYe817ANrgqbxZuRysGlHuu7d/jnu0W1/srGe8F1v6nLf0wGHzkoQEaAwSAZCljaRcucgl5kjV2Ep55H9f57NTM9Dmc2Fe56BOZMt2UrsflbIFJdAdM/NWGudky4FqY4wuS09QtFUI4rcjScEuqrYuVnwspd12LAR9KBXo98d0O4aJusJQeAGMAo5FgSMgXcNc5dZefy/E6PAHtHcoijxdDrdFto7Y26VAX4M5PmM7PHnSa6984RONg5YxSiZoFNb0PcjhonhDz/S5J7Hqq63TWqnvaV0XTuimL+Sf9ZsZRk/PmNMXsa5GAP3aAazcC2KPd7L5bPlMlrXbmYyRyUxxFKjYs0rrw35gXe0+YU/9BnG0jWiGkmcuirSiNJncyAfaSa3riWN0udzr0UpNki769MkkAswRX4B5EFnftEXK58tYaK8ukMRnBbHsOhKKn/O3H5Nv4NEpKP6oBLARE0yUanQ8Gvot9yoOXVGc2dHEScWz1inq8ZS7Ov1GuYfTI4uLaPBgx0tfqfsd5cH+6zD3qX95+V68kTavNvbbZttShKlNPY3093pjOs8uJQxnh9zxyMen7ynxjD0oKpz7Z2zdx7Yrs1cjttfI8sqlE7QWvouxZjFQJsRcINVKaOb0VrxxEikcVIlA3oca6q1mFtf2ef2e/p88RHlbEMkCEkkNP1sFU0/ZVbhl7O1zDwWW/pspBZhBur0c0o3rF6I4rW1Rb+kLWHHCpEydynYlWUmHpMoOYjtGObWRg/ZxO2sqvTcsuTOR5tU69PoqckW8wsdzq3GbJ720islK3oadTnWkyBr6nvLwF5Xf4+9PzKSreQty5JjkenffD/1NFWeJ3cyIBfA1moM6KoAt07B7XsRq13LZ+6rse9MxUkT4UpiRaa9BaUJUnYNuPPjU2KW0SX/q9+cCyByS270XuwtunY4UJG+l1IhTYI0mmiouWhTxJte3uWhPT6tME2/GqfHQxTZPhAyZb/RhogCOhaX3MkvSOncFpW2tBVsnkmVNOEj0hryHOiC8giJnMXtKJbKRWHrSt2x35dyzMpOcbdxZkhfDFnqhejH90yysBAzUdMEvpsl4ranGwX2iPaU63yAEqjXZ3w7osOzIqUR9hZZUFkAuwB35oMXwaXMB7PbEcYeCSizRE7ZRZGuU96Q8GefrfLeTzSwQjvfe4S9KbS3XOdzjy23uV4se05fhb1HKvkYA3XO5Gtb2YqB8AaTSIx0vriShijxkMrwg2/tcfC0x3s/qYniAuQGwVBIlMkGSaTgLre25aAWRSQoS/AXtgBWBnThgCyz/0xkUqUYMZFZhTbHSVl/Z6tJaVW0WXyQjvDOcOc+DsY4ZhHGkghBnMAgFKx2Ai68uMLERIA+b4tkwte0F30MOpUQpbrrMZCvZXI7AuTRn49m+UYYvBxUlt7LPO6M2YuZeKn3PeaYyAzcakyejO1Zr9K9Z5wGj/D8iIPzkk/eVafb9aCq1rJ3XvNdWl1EkeApy7Lx5/C1kzwFg5dAX5Is42ODbdp0kANdlnY+kE6LS6mJooRGPeatr+rx+XurHDyTnkw3o4xECPpp8l4IBxAQRTZPpL54xpCpT57tYZbNqHROSpa6d+ztZryLkjwpAV0WwaPMNfYomDPdXvysOK7WihQX6c8leTo0c32iGM4sCGwFpiYtOlEKPEmtIohT77XMsln2cE1wiF27hIhR0JcDsOLLlWSJKJi9LE+ycWCqxOLlxI4U5cHsmXNiRrbbkCVZImXqmKRMrnXMMDLc/mCdLz+eVgtKzwF8jL2zIi8lBCPBMMXJKH/3DOHiayF7lNBHgT5WKWelKO0g7bYicbrbFDLFSBIhUYnECEU01Lzm6pDXvKTPic95DI3T4WklFDGagcBVHKaCBCFyAztL/ah8GcoclbRWXJADHyEKsrfunFqRBp5loNsio2pkpsXLRFhMjB2NbewIgSDSVSJ7jls9XNbXMggTKoFhYgL0geVtq+FK9Hmk/68UxvmXlMA8zuKUBsuMyxA5etXJNZKlYOzxrGWx7JcYOwd2BvRil4FR52RUf6s8/Z6UnsdI6Tp1pB9z9yM+v/aBCRKrC+dEKoSQbh8gUaTlRxm87Pisz94j4BZfA9lQclBGU/ZluWLIpl6lxViicFRyTS6dNy6MJo4Nvp/wU9/dZt9Jzd0PS4wvUsi6LxAZRX9EUNmSLFlHk+deeLraZp83JaxMh2fBo8mwkjN6aR6lFSWpMiZXstfYQipnrxN3jUoh8sA2k0UCS5JYatWAqy+tfv6G62dX1ZWXbuu2VhcOGcMP6HSPl6xTZqQlLBtGn/ZAynzSUTmVXmI8Vb44ymWupWBRFZq6qAwsW4ClRE4poMwLqp4H3GWpokcSOq7X8uSy4Nc+OMF9j9fdpjzStaMhPbQUVCUEknSTq9Hm4rX3tAE6H5IzOoxIpe1eUo01TI+tkFnnUnHRj2V1y2RQmgOY/X5OKOWfWZidiQm05aGnfFb7cmypkfkU8aLiMNO8I5HE3+NqLV0IY/Kr8PrLM7+L12su8FIWlfFGm+xnZZ6wuSjEWtg0C0tLC9/1lYcO7tMLSwmJFdR8g9dMq0PHqvfWtiSV9NLIkkKurcZTtBnD57KkxOAi/zvFMPUyg8t1NHe2w8C6d1UOLNNS2PR54id88FMT/O2ddWxFgVAOnUIjpBzptyz6G79Kx3y+gmXaZN1zvsYDt2Ovy4DITpodc1bKHT4mnR9oU+a21hQ1KkIijSIRGtlPuPXmPs8d9nj3+zRhEJc8OYE1HsPUORNZfj1xJrbFFqBMMyw29ZwzLZsaQC7YFGkAiWPzzPcuFoTUcaHE2BlGEvc7WaN01h1pRJYwcr9nZYEpm0qaPO+SEstkUzE3JYli0Ffv1kghGEbQ7ycjjQYjuyqscQ/sWnkyok3Ly89XAbYoNHeRmrcjUqUorjKp7z0GcGVSAGcgL4M7QZZqT774cMAHPldnkKRT8EVmDaZZS2FHtPe6qfky0CkDfkyujIB9ffazaXCXec9rMprYNSW0VpYym7LkrAjlCrNkWpwlDYnRBJ7hu9/Y5YEnfb74uLMLM28cKTBWMzSuHS0vIhm3DlOk5kwrBAqbgroE8qzpQWT2IPnviAyoEqQd1dk2PV5rZIst++nlrKmLibLlR6SEkCSWwycDjs17YC369EoXa10WqKpk7oSMNBXIcnd0qdg/00g8D+iz16WZeaPAzkBfbGQkR5borLnAFEAf0eFm1AMfZ2+ZFAGmjugN4Zf/ZILDpwKsLnZLHtHe2XcfAfYYoFkHzDmExSiev4ogH116WbNcm3X1+NraFCPTikNZZnGFSAxCaGRoOH9rxM9+b4sHfiKgM0i/jJH550rQDGz6GbPiblOA3EpHpyprVE4dFpWyrZWkXUkpmGUBVpfkKR1DSymjafMVcG0icfQiGNH0KfDLNa4umyqYaqwy0XTbg+v2YBqQSDvA6C4TDVXMFymBfGSQzEiyprybVomxS6w+ynzFSLGyHBEi2zmgLFFMyQcvbWOXsnnO3COuSWl33tTz1joiTuD3Pt7g8b0V53nLjLkL58QTo7JEjX12UQb7GHOTSrPy0M31+HoNk485J0UDBEUxk3XFTGuqDYVj8DzoNNKBPJEYkd6TVKoYwzWXRPzIt7T4Hx+ZJExSFndrO1hBgmJoMi2e5tpLIM8liihlOYXboNeW2VyCMJkfDkibgrpogLAlMDt/u6iJccw9RpSyuAisSMsDhKtqtKl/qaylVpFctHuWbZs8hqFF/+C73kq9Vue5Pc9yz123oZXK96zJ3IsRYMrCScmALceyT4Ul+DzAzlm9vIHRqCwp9Pfo/owFeyeFLi8ndUbuaWBZSfjSgwHv/3iDVt9zHmDqeSMUQojUOSmyluVS3rIOL0azrTODcCQsE/lrMQ7oMdZeg/cRoNuSs1Jm7XQqbCZJykkg4WzERCqkNa5eJVY0K4bve1uPR58NuP0rCmpxytT5iSQ2brJ23taWgtziSmPJbUvneWdZF2tEnum0JpMbhXzJcVMCemYlZ/q6YHBLVqdC7tWTx3YmZXHXJlc06EhpiaKY2c03cd6ll9Hr9dCNuk+16jPR0Ew3oVZ1jblKjdaIjE7rH7viGGe6tQAfB3YB+jFZUpIkhUwpdth1AE9G/W7prECZ76vuAkspY6SO2XtU8/sfbXJwyXfFCqnf7R5lwd4lW3QE5OvJkxFpMjat6fkldyFrx2pRChYvEiuF87BeGn9sSFBWiJVt0mskIpMqwiKkRkaW3dMxP/z2DkfnNQdOCawuCywB0iMx2fj4UZCTJoFULr1s7kerlN2zQDOrR8r1d0m6ZEDPE0IOu6Mgz36fgjwRbpR/jqfSiAq336dlOEwYDAXGesRGo2sVSyWwTDcNm2djPE+5pTb7Puk/lkuQcYCPSRNKwJZlkJftK2HXaPDyJkYqlSEFk5d0tzLp6/FkTgF0pRKkjPGDmPmW4Jff1+STd9SwnirS8ak0WY+9i7rvtSn5MrjXS+qUL/pCh48CfoS1x8Cevbe2JqWswzNAlwPQrPPHMbgU2fM0+EwMMQZPOlelNZT85G8pzq4KCMp0K7DonMnLILem2DrEpqytJFiTypfcTRFpkFkwucykS7KO/n4eDV7GXKEQRisK3e+5vz/AMhyGtLoJYWwZDA3a0xLtVeYbNXvb7p3V17XbXaLEI0nEiIAn/yOjwC7+mB35EKPuySiw17D3SHrejDgn5a2jVVYxmAG8lKmUqWvinrtakxDDp++v86WHa2mticplySh7F7sGl+cNlt2SNWWxJS1evsjHmTsH/7gWGZMra+YUZh6xKar0ypWGMnVTMj2eCIEQaeIndVaklBir0vckwrqKw0BbXnv9gDe/tMdffF4SxsKlbbMPL8HiEVvBIOsMTrOFThOUNbkb2WzThFw6U9+BPGXrLGjOplzZEmMXwXtZ9q4d3z3ymB/XIrtqLPQGhlpjmn4kbqtU/PlWW6Le/eu/w796y5Wr3YFZ1ar1HdqeITFBrqWzir4s2ZK1j+W1ImI0CTHiYY/0Uto1z8t1JeOlsHLECrQFuMeYu9wRr1Nwax2TSMOn7qnyX/9ogiPzQdrEUCR0XM2JIJBQkW6QvU7HwGlZTjqVhwtl37cYzJ9PuRUg044SNyB+dEi/S6DJ0cRN5tSN38sBbbkGvRTPlLuf3JSComlgTQ4ivSJzcjKW6WbCpRfEnDinOHBcY/KIMEOSA7wVIu/LFSN0t97SNc6IxfI1WhpcWqlK71kn8Udr5HPZVmjt7DGx2RaIljiB+VbMi67exQXnN//jM/sOPPiNr3mV26Pn4PF0uQ4DavhUAjcVyn2I4mpds5aO9NG5n4s1V6QdY/DCNSlqUQrmLqRJKlNU4ZrIkhTJwC1LAWVmCXpewpFFyfs/UWffoQAaKpckeWJHylya5JlaRuOO5+2YLwWbBduMBpSjHniZccTaE02Ztc1YwqdwUWR+4kfT91KAMW7X4cwbFzmzyxSLFiMUwjpvPBpaLtkd8d23dnj4aZ+jC7L4wibT406GxFIwyOKBdISbNTZ3UWxJl+c1KqOqJ9fb2QVXrgN/PmmSXyvCrj1ga26C2SbsmrNsn0ro+G7wiQa4/por8Lwqp47DmSOnsLgGXrf7XLEMjDsA+YWcrjmjemktsMWYYzLugZdtQJEHl4bCTckKp0qyJHtPZOydsNwR/M5fNLnr8UpRJZgDu5AmvmRsDHLxHVTpwK9nC64H/HEL/O97s2P0Npq2HmUxa0Rqk6UyRZTAX8p0SmFdg4GxKbidHhdCuctIGJKe4earh/y7d7b5b38iWck2CM50RLrNpjWaONUHNgs4M3dFUNLnaSFW+hmtLPniOdjFyMpSDjAzYI/LkSwMyALvcQxm8VKzotk8t5ONm66i3usXAN+6ZSONic23DxY/+2t2zv7kMIzR0pUmZv9azhz567IlVgh/92jzKy8PJCHflGgkwVNm7DyLaUZYvCxL3M9KfrcsspVKxQyE5Q8/0eB9H2/QSbw0Wzmqu4VwY4Yz52SkqKp0kMezlyNMvS6YLULI4uXfA+nj3fVlF2WklqMM9Hx+ikgH0hcj30TJRhTGjcKW1jkMjs0VQhgSoyC2NLyIH3hbh7NLit/9iyb9THqYjM1LIJduNARpitx53tZtJpvKG2vSsRLp79q09FYW1++YJ25zkszck5w4s9+HEu6KY5WXsgsQ1mJkhUf2LPzad33nxbcfOXbagR+gObmFL/3df+mdPrt0ZBh5aGXx/ZjAc3ffS4qh8SN1IYYRS2/Mx841tihJDmnHtHSpaUEUOrtcVyIzZ0SUGFwVQJepJYg2PHfI469ur9GO0g0yyYCd+d4uW+uJclBpC12bZjHXzVSut4yus7xS+m/+Pkgv2tXGLEO3DubMPHoRlJqS895NOfo6HzWRvaewaXubsQprFHGkaGjLt7+2y6UXDpFJDCYGG4NJSo8J1lhiC0MLoYHIuhLr2ApiA7FxuyzEtrzvvcifZ1uGm1Q/Zz/PRmQYk+pqW/pdU/xbcTrkPkoEYSwYxoJBJBhGrtmh0fDpDtpHvuc//Grv/F1bCwYHuPCKtyNVhaVTdzJcvYdKJd2MKJH5hkhZ9syWDjZ2tGl1rQ9edlSKwiohSoAfSdWbMQYv3BMpSlnKsVS89hKeOuzxI786xdMHAqwnC1mSM7gs2YI2H+QzvlPDetbgejJlJLEjKL0q1te/l1yxo09HffFxu9DVPLt6DwdcaQvJYoQLcI2VjhWtxViZ/o6bkCWM88YTrJOWoeWqCyLe85Or/MB/Fzx9MA1OMtrNPEAsZExOWqsuBB6lMRKASiVKtio6R8WOsLHMiqcg98QLBrflQ1hc7OkFkAWY2QVlAJKE111+Id9+6ytpdwd84Ld/ehTgGzbW0V6dYctg+0tMNgKiyGMYecSxQiRuiRN54X26JNlRj7zQ4muDzJHCqlx/m5H385Uh/Vmut0eswSS3Ax24DR0r+YNP1HliT0CiSqwtinoTSG3BcjND2ZWQRYKiuBDLoB4bCzEWIBUXeAm8XwXhdgzYZYTbcp/myPtlZrdrJItM2Tvrq7VZZlOkIayQ6blJ9bixJBi0sFxz6ZB/+9YuP/U/PDqxAI+inM9AfnCMIhGCMFVj1jiQkwacRSdQ6ZuZIsjMEkAyB3fhYeTEsY7DYjPWt47JwwR6saCfGAIVgu8R1GYIbTc/rrlgrNYtni8OHpz3D/3dww16UYtGbYDvxem+kRnYxlPpZZtwvBJwvKzVUk7SOE+7LFuSkuwpVQWOg1skKBGjRIL2EnoG3v83dT76pTrDDMyyzN7Oj5MpMRWB5Tr77JTZe5yxSwHQaDJH5OBei+yvJU/G2Xt0TH1Zh+cW2gijixHJskaqZOW1eaazdM/liiZJFH4iePtrenz3t3SoqxiiTKLEo4/WTYdKDIS5ZBFEljG5UkiW/LUVJfkyKklGJsXatT/LZE0G7n4sWRpAzW/zg28JueEKDq32/YPDWOXHNAe4EBfx0b956rZe74IPRdHVrKwGyHxIjgNqXow/5oLkDCztmgtAybWAH3k90mZWkiWlIqpyrYkUGXsnKB3TCeF9f1vnv7+vybklL6/tLtLx2V0USR2xNls53u1fjvIlY2Avvx5j7ZGfia8O7gzF5UKr/L2Rl+mKOVJRWN7GQ+Qj3nKgl97LQT6iy9UY0DVxotg0Y/iZ723xPW/t0AhiN7bVJiU9noE8BmvWBXlknS5PLKkeTzfUsgXITfralFi5GDS6njxLf4bT67FxSaihFdQDxeW7LuXCrTs+pHsP3PaSF+3ID68uH+tdW30s9c9eeHP/m7ZMqau1DhlG7ouXt5lwS0mhqMZT9GV5UnSemDUXhhgBfEmWiHIAW7IFRan8VSXIiuVvP1vjV/64yfyyB/44cxcMrsrsXWroGNlnhxKgx5m75HOPpONLPC3G3/yfvJWX4gL8In9j/dQ9acGVc1CESaVJCiJhC09cCJnahqSPmVxRCOv0dRRaNk8l/Mz3tVlqSz70mQZUSDOY6cHJ9hJMb8ZIQpFteVOk6bNKQ0qv08GEroY7vRilsKPVg3aUMMpxSXYcIgv9BGxkOLNY4xP3+k9cdGnts8ur/ZFjqsov3vvHH+Dam6rHjy2EN9z7dP/ayVqbzdMwGFYII4/EuJqHgvUZAfJoTyWjrL6mWtCMOix5aWwBbDmiwbPXaXdOxXDwlOZX3z/B43uDdIu/cglsudZb4ElXcpF17GR7u6/Xjjbe6OD2ZB/bM2jkdbFZlsh+lmrgfMaMLD0WvQYjDSYjOwVnF9XY2I5UbeVlDvl7ZYIprSzZ2cq72MsElP03+XKegs9YJiYM1Yrlgac8lldkCSnlgGNkzSqtOs8fYefxw8iPC88pDyyzx9K/kT01CAaxpN1PuHzHOd75DX22bBSf2Xv46d/73u/64ZG/p8c/QKd/FUoK7nkSPvOVhJ9/V8zWKU0Y6bweOWdr1jloJbckT/KMBZKi7HXn7F7S5sKMBZjljGWC8g2HTmv+y3smuePRClTGa0zK8sR53tkYCC3Xau31hvmsNwdm3crCrOBHiJFTtdZxKVyDcZckO31ZwL4myUMp0WPJ2dsRqc39b/k8RVkCJxGEkWmSSLodPIRxXnkKuUQoSHf2SAYxr37xgF/6kRY/954JvMDOrgAAL/pJREFUDp/x3RLoEFZkPEu2v0W4hFAGZAuZd2JJRzELXPNEtvqn39cNtBB5U0Ne7DeeBEpJNEwsL7m4xc9+5wKNyvmI6hVgDb8whuc1AH/7W16Dp1W479gCn7+nz2fvVXzjSwSBV7brRi/m5wN3LjvG3ZOSHJFlBhfPB+6M0WOUZzh6TvPzvz/BR2+vEYqy3z0uT8SawLLcyLBu+12mp9cBZw7g0u+UyeqrqpPyD8dSziVnbI0Wz2gsL5nNXpfqxMlAP5LZLBohpHEQNqJI/jhbMQN8EcVmDgtGUtGGd3xDj8TAz/3eBMfOpc7KCMgLyZENWo6sIBFulxA/dVZMJllKmSubTr9ynqH7vjLXwGslYLmVcqpueN11FXbMzGKDzWy+4HWhtfGaw74G4HNz00w0pn7imksvuixaWbq56ScsrRpmJkOC7FqTJtepBRDWAbcsNPe64C4DfATcSe57l5M5WiccW/D4qd+d4ONfrBFm+wquy9xpxpLS8MwM1IzJgwzoFGDPKwXHwZ7aWCOgHqftf8BtHNcjGU3WFiBljG8zjJWm0ZazmqKkxTP7sAC5zLezFmQtYSodpgNxDJ5K+PbX9dEKfvp3Jzl2ziedw0xahTWS8XRE44LcKP+5KH07Udif6YrmVoIC5AKRVyFSIphsikPgwXRD0Go1ePrwHNffcO2dcxt2/sRwsLTmuMrxNyab0/zdZ25v79jY2Hfp+dVk2wZLJXBAzA3MkjDKTvCIHh8PHp/vPgbuwiosa26TNi4knF5W/MzvTfDx2zNwl9g6E7a5LZiytxzt0lmPvTMwlyv5YFyKjAJ6nF0yaI6A/n8C3eMB5rgvXrwpSnahA28mdwyjQ/TtmJMyMufQZNOyCtswm1ibZzuNIk4kOoG3f0Of//ojLTbPRHlmc/Qeg4lSl8UATjpF5axn6qpk2c/cBsztzdQKHfva5cCe9DsOQsupczGHTwdJZzC974lH72hXqrNrDu0aBs9OLKbzI1dcJG6Yra5eo6QgSmShA9M/KzCpFi+x9Bi4vypzi1HNnaXi88dMlqiEWAv++FMNPvqFGqGSaePCeHfO+p53OWM5rrtHdXUB0PXGQ5T97/X0dbGJqfifxfdoNnNNUseOuCfltH5mCTp5U95+pKgdH2fyQounWjdzVqxFWOs2Q7YW4UbbIhLQJLzj9T32HdH82vubxFAEnjl7Z69tfi4MkghnAXrSaWydA89Rts3+qZTJM3Vu8yrWAunGCgYhrPYEZ1uGmY08dXax/SMbZifWPbZyvTff8qbXsdhdThaizXbv6VWMWKFWiUrMMhol5zXKXwPc8quAW2X+9kgxVYxU5v9t78vj5KrqfL/n3K3Wrq7el6Q7naSzE0iAkACCQMAdHQ2C67xxmecyrjP4xA3Gj46oz2V0FAefivJUFFCGxRERRzaRfc1CZ0/Int63qruc8/4459x77q3bnQYSA847n093Vd26davq1vf87vd8fxtgEtzxpyx+cUcOVVrrfo9JgqAgBOHCMu6xFEpBBPQo86gma0ffplsS6I+1EyB3qAmTnQm4tR1jNAUJLRg66AlUUZxoP+XsidLZos7JpGbxGd1GfX/iFpyCy7gVxigcxnHx+RM4b80kSKBp41q8SvyPAZwJ3TrFkgtnTtTFItbzUp/syujIbeNVwLdc9PaO4PUXNPJ8dm+w4pRzUs9vqgUHgKXLXoGRsclffPzK7QtWztqef/t5JgJmwjIEN44sGY//QYB3KnCTKcCtW3DFuQ2TgZjArfdm8Ylvl7BxuyMThlOAnVxYUt1q8xRvZW06Wo0HE4jxP1LzRPxhEtRHBHfCjVlLT0ikgUNfWCY0cZVFU2PBI1WFxaw4gFA9ISLPEUS48SXXIYSDMUPKhhBqWQAsm+vh6x8dwaUG8Jt7c8L0TmXJY1+PIoAAeZyTqzOlfClR+K/Iv5Q6jOTflgGYJsUlrzqMdWvrxpt7zv4Fofkpz7Ex1RNXf/fr6Fy29tG2poZ3P/r4wVJ7fQFZm8I2o17vYXaOKukQy6OcIS1RjpzQeykTFwwGYgE335PFZd+pw4YdGQFu5amkCWqiIgWpsNwO5WEqmmoeZepOHl2HDmsfxjVpQiO9O9KttVbjYcinfhu11FAauNoW6eLaRKPJiadn8kA7DiLdm0RVoWpqRKrKY4iLAEC0j75miiZqpIeHiSxEZAFxoso4CDPb0hjgxAU+dh+g6NtuRh6y8PXJqR1NeXVl0ktrqCV7tEaPKKG6uhoUsC2gkCWY12HjvBU+Zneftp97/e+wiud4U+F4SgsOAOvOXYLhkRGQgQ2ouC4CppdOS4TJ1sSiJC23WDASDeARZYkWliK2mwEmcPO9WXzqO3VYv83RwD3Vn6AmlqQmBmojBCOnCU+lJGncOvYTJQCi/0I11lrx9iMNnrDk0Ky1eqzRkLBYfrifbs0jTVx0Ik56PVWUIYtx82i7ejOqcXMKygBGjajMshtgWY+Hf/ngCDgHbgstuYSvIveEiVsasmxwEAQgcGUkou4RpRBue9Co219ARXUrX4bOqlYlm/d0o3fFacgbxWlP77QA75ndWt2xY+J9K5bNvt6feCZfzPnIZTw4tq/p20rrZtoiM8G5QxDrFjySApUlV/dhEvzmTxlc9u06bNjuRC54ksa9aQjuKNaEJ2K9JagRpyFJShJbQCbAHrdDSYsTzYDkPjPAdwhi/XEI7CgiItLDodMPnaNHiopOVRQtETKhBnYlG8pYFRJCUCqFVGQERY3rjaiGShU4ocfDlz80AsaB//xTNk6UgRDUEeDF4pMTCp8QeagI5GEtFikVhvUPZYAW54BtcgyOeODWrPGxSed9Le2d1ecNcN8bYz09PQ811pORzY8/nW9tGELGqQKg8HxTniBtsRaL59ajApPcO5BWPQK3QQIQg4EbBL/9cwaX/msdNm63RZnXVMut51iS0HonU9BqNe9EAi+iz5+MGAxLGYQTgMSAr6BMEO1bY82TBF1hNQXosRBZXrt/fDGpd0OT20MuriREHsZ7xK04QFSNQ8nFKVWKi6g/jlArV2gXwA+I9tmrHEvnePjqh0fAOcEd92dEC/gpeHh8yG4TTF6J9OL4XDiGCEQqnMuByUCsFYaqDKAUJ65cM9Le0fXQ/oPDbPp3mWY0NTWhVCoeduyJdR1z5np3PTWAL1/nYW9/FZapB1shxq1jmT4kAjeJgVsLppJA5wbBHx528PGv12HjThtwEsnCNYtLGlIBFSVY49QhibSzFCudGh4bgrx2W4jdlG0vdNQAX0N3jYMTmuatHO6cxBegYUa6pqhoMf2qpkqsJByT4bZKWeFSSeEUXCoqgdTJgyqwpNvDNz42jJefWoHBApkJEUz/B2GSGQeqTEQihplAPFJSCAHcgKK9ZQKfeucurF62FyevWuINj3vrCoXi4cbGpmnP57QWnFAbDz29A/Wl3j1P7wu23XLv3oVDw2O4v83H+aeoZqoyO4fWOnWMKTVuBXBJS6TlvuNBBx/9Wgl9O20hg5A0WmIiijiSkiDSy67FnDqIW2+driggx4FeW3YtCXzo98Odawn5jKTCFPc9l79wWMaYJ/Xw2qpXTF7eQ3rCxHcRIOdhFdZIWeGi1w0hwmobMlZF7iu8nUpVEXSFQnFkAwAHcQMs6PLwb/80jI98HbjzgYzQ0o20b6rzdNWaloaWHFSEGZgQV1+TAA1ZhrMXcizvKGFFdwkLl/dua27v2FMZ34xsYcG05/aIFxMOA1uefGBnc46995JXLsM5yzNoLZUwPOYg8GU12ljWe1TCOMp81/6MKBPHIAEMi4GbwJ0PSXDvtsHVgpKmgdvQAC5AaUpwmxK4Na229YUmELfmmuKgYxTJ/VJAXgveZBkNnZVPAew0cKvFJFDD0SNCrrLsEzQFkdWOrHrc2sfKMXNBFUJLL6136OEMW4nTUA+PLLloJc64AV4lWDDbwzc/PoxzVlVAAwZ4miVnKlHCT/wJvZxLnbzCxALUl9/LMoD6LMfBQ0X89r4yBiqrsO9g5r333PPUTts6Mhcyj7TDqmWzUa1MwHay+1oa7XuIu+1ltjEcxgnE2mKHANapSiBpinLJByCqzIMN7Oo3cP8TNq749zr07bTBbR3MZgq4lVsesp53MoFYt+CJeok1C0xeS0kSkyAcROfYtZn1ioeDIMwMr1FhpjUkmiUnumqCKG4jRj14uAANaQlBjMPrCRFhClhCHxfcnchOD8JCEJmVDyY8wpxAWG8QYXSk0hFacnnlJB7Dom4P3/r4MC6/muGBxzPYddgEbC5+Q8bF6zm0Rae2+KRU1CmH9GUwee0iwHjFw2i1iHLz3HtOXLlm3/jEJAwnd0SAz2g54GRyeHb7g1sayplvLV40DxmrCscKkHE82Jb4M00Pphk1WNU7K+hud0IkTXGAvn0WPn9VHT781Xo8s0sHdzLdTAM6jXi3qS0sTSTyK7WgqZCOIIVza2Cu4eX6c6lxJvoKNAXNJLkhBdhJZw/iBj1tMapeF2v5DSSAnfRe6lY87umMeLie6iatN5QnlEZZQZolZ8qSK47uAgu7PHz70mF89gPD6O10garyaia8n2H8igdwEePCGUMlAEYDglGfYsyjmPSA0TEPc+cvgpUpfOvOux7cUsgfGdzADCy4Gm3t7TAzxYeqlYmbSPDsG+rsx1CuqwLQFZLIeiveTTTrHWbSZzi27DXx+auKuPH3OVQCQ3oodXCbSLfcJOTdJuJ5lQbiiQoRz04Jh0W0Ta+FkuQf0SSoBXGMox/FhWbtJCAJyxtF4sWCtDRrziBLFYdXAfECYXD1dLfwhYDMCBJ1DJnsXEbEeWfyhgHiQWTJwczwBHAA1GNoLQd4+6sn4Ngc//ydOmzdC8CRH5YYmuWWomQQADSQMqKBKqfwfWC8AoxXA7zujPlYvmzhTXN65j00MjIy43M3Y4Bb2S4cPLBvZ9e81R+5+c77jEc3OK97/RlDOG+FC1WBPAQz1YOwFMilbm4BW/dYuOJ7EtwwhBQ45YIyBdwEsCF76ejyX1h9rDazJWm9aQy8+i2JRRSmBljVzoMErZkh2nl81zDOJ0kziP58rVWH7vCRrm0wElaWUjK0SqgIKYuaNGoSMYBRElbJ4oyKJhCMpYOcyFWkCpflAOUEoAy8EsAxGdadNwlw4Iqr6rBtH2SRT/l6TuTvHIiDcM23wQFKPLzsxDG89XwTbW3dt5xx2uqPDA3t3bVoXueMAT4jiqJGS2s7bvrP+3bNn3/W04dHluFbvyphsOLDtl2YpgvbcuFkqrBtF5blipZ91BeApxw0Q7DjkIXLryrihjskuM2ZqCUhw4UJaC229V6WCYoSAo6nVIblEXBTFpSxGKoaKZDErXdSagFqGMtMcK5XuIoDHvE4FeXw0cJka+lJgupoXBxakBbT6QvXZUaVgR8VFIpuaYzOhNRF0pWAiT/ODQQ+RYZzvHntJK74wAi6Wzyxkgypilx8eh6I64K4LuBXgaAK+BW05Mbx/teM4dyVC7Dm5LOfro7evauzc+bgBp6DBVfjxIVz0DO388tPPL1z7uyGvouzxmFwLtqEDI5ybHnWAAdBWyNDZ3sAS1rFKiN49AkbV92Qw/W/z8ElVEtWmF4K1BUTQUVkABVU3EacmkwVDqtTkaTljiknif3SKEu6ivI8Qa57K4kOTgKu2WuuP69xbahUMPVpNNe9sOo6JVEHI7I7gmi7Ej4P5fUUJ5dCdHATx5D1wWOlKggAKvfXJUTx8wY+YJsMF6+dBBjw3RvyeGyTaExLGIFFOTo7ArQ1MDAQbNltoX/UBqiNwWoO//VkC1aetOwXRn71l/3x/c8Vrs8d4HPnzcI1P7tt2Mn1vGtpd1unWx0607cPYVs/wVevKeFXv8+Bc2DBHA8XXTCBt7x6EvV1DD+9NYfPfa+AoTETXixBgWJ6KTACd3qbEemthFRUdZCjlnuTNO6tg14Hbwo1iaw+iYE8GbuCxLGmw/a0T2gKigC51MBJnLIQ3XqHk0Bl9vCYChNx9UhJCak1JZKRKPrCQ7rCKcA0uqKoCZElnJPqirh6cjCfwzI4Ll47iVeudvGZqwr42a051JcY3vKaSaxbO4mFc0S62fV3ZPC1a+qxtd9Gxiljz6Gme7uXdL9rx6bfTPQsfs1zBvjzXhoNHXwQALtz8tC3z73pj3vwjRvqsfVADkFgAAjE5Yb5+IeLx9DTGeALP8xjYERPMdOAnYwM1LyUCtw2ibviVVZ8lKmj1SsnqiyEqliVqGOu76NHEBKSeKxeqyIKiXYclVUfZdTH76t9RLyHqiMePRdFLRra/bA+onou1sqRR98r3EerYkCiWus1tWnCx4BecClWMq8mcE5SS63kR+Ski0IvCNGcfSQl3VBKw8J+EfSPGPjCD/OY2xngQ5eMg3lAULUEreEMuw4AX7muDk9vXoLPf+Jtf6CUnveKs096Xjh9zhZcjVLzXHDOHnxq81lrrvzl/dln9wNwcjBtisBzwdko5jdWQTiwY6+ByjidwmonY0vkfjgCuHWKkkJHSKr1TiwGE3Je2qJU59kxi6ybhtT7qfY8degcXN8WPqcepyw6dZoCRVPCJ0gkkITcXFpkdVVQC1MVV06l7i1NPRFRVwCVvINRudCMLHnUaS9SVwjl0pMqvZ+cg3AGBEAuzzGng4ERgq17KXrKFFUvj0rVgUEDdLVO4HPvDPDn3YsnFy/seZDS57RUPDoAJ6QJW3ZXP11ueTO/+PzBj9109/rM6IgF2wAOj5k4odfF5e8axLkrq9h50MQ9T9h4vE/w86mTFVRgFQmdMVYKuGNtCSGpiAZcEYOe4N7Qf4haWkJSgKuWtsl1ZIy7a8c4MpSnQLc6gK6q8DilgAZsQKMYNWAXAX8kISkCKfQFsq64UlxIxNshPaVETRDZorAG5ESWaE6TEJXHiwOEU0mtODb2Gfi3X+Sxe7+J396TwWf+xwQWzsqgf6gelhng4C6GSayqvPFVr/2m7RifIaQOz3c8b4ADwPzZDju4/ZdXvOHsFq9/YOyT2zYP2TnHgFNg+LvXVnHeCg4DFLPafZyyyMVTmzLwzYQV1zVvBW6CMBs+rONN4rElBklJINbAmgTv9E4cIBY5mAR8YlLoIyGuTPHkzEdtpGHEuSMgk0gOVM/LxSS0+1GdccHFDXkApZMbiouHVp5Lx05Es5U0yCWwa0AuAwJqdXJRxVaF2hIuuktwyvHQJht79lpwqY3bHy7CJx7efUEGeacEx/JhZDvdbYd6vvLoD+774qUffBM70jk7ZgAHgKv/w3QNq+vK7lbmNjtbP898ly7r5VjQUcTYaICMMwbuVEKvmGgboVtwlZFDQ8utdG4zRkni4E56K6PsmDSnDhCWDEMt4HXFI1U/R9LCa2hOmO7UzQkTzzlSwZ8w4LGNMdd94lhKQQkXk9AUFD0gSzEZeUzGZXkGJSsyAibXAeGilkTKC4Ww5IqucFVgn6Tp5PFzwQgHlckWBoHY0bJhWEVs3mXg5rsJFs22UFcsstNXdX3+vWe1fn3/wTH30heIz+dPbuT4zEffiJefxCdft3bBTWesPpE3lYHmEkfgm/ACQ3w9KpJLa8BN404cFTglnDiJzmc0CW7EwS15d0hHgHSLPoVVrbHOSSAnLTwQejenytCaSW59qvMmurLHY1SgNXNS3Fs+lwyoCp1G2jGTWnf4lNweBl1NkaQchCG1tDZgS+rkAYsKegZa+QmllYMTsXiVs9wwKAxK0T/IcGDAQ9usZXycLbrpt3+yJzt6L36h8HzhFhwA2ts7US43bTat/AdaypWrcsGdtFQYhWNVQUwf1/8ui98/mEVgarQkrB8YVX6NsuAjSmJA07mhA5onaElKGlra4lK/P9W+JI7vuCaOxIMElJPpPzMYulVFmnVP8ugwsKo2EEv/kFFSBInx6zgPF+dbsSDhR4pokWhHGH0OUeQTkFFZIkGBiOKfnHHQRE4fkS8kxAAnIkzwglVVvOmCcVx3pwPfd3FwwoFJCV6xdiXrnT/vA11dPZsPHjp4NKD5wi04AMyZuwSVyoi77ISVP9i8n/zj3ZsbMTA+inxhAr++y8QV3yvh2X5b1DKhshGrBDclsjAmVfmUPAS6LgXqOZaGBu6awKnkH0HouayhJKGBjhBVE/Od4Bx6Efz4K58H5U4qJ5oHUi/hpude6mQ8ojGaux3aJNDfQ/duKsVEheTWWHfNywlEZScgrTtIvOuHnhzBCIKASo+mlhjBDATMROAb6Gzk+Of3D+NNLx8GJiZQzgziktfYWNwb/OMpp57yg0P9A+4JJyw5GtA8OhYcAFrb52Pj1oPBqavWbR3r7xjNk33Fn/9+Py6/ugnbVbkvXfeW4Lapstyapg0ttgTQwBwvq1ZTy1szHmlx3DGFJPFckmfr6kn40gSCayZC2iJ0GtRPQcWhbKkCK4kwPaUFDwuPJb2dJFJbiHLzQ3ovEcWigMTDb4EoBAWEa+mJkoIT8QGYTF5QWjgnBijh4hlOwHkgz4Po7MaIgcDnmNPA8MX3DYEyhr5ne3HGqa8cfcU5K7d6lT3BsqXTJzE8l3HUAA4AuWwOXe27bkH3yg/++aG/+ebV/3F3w44BD7B8gLnylxAgN6lowmprdESBNqmMUJmUkJYwHGtHl/IH8Gk5eI3kl2aSNdYRHZfEwK3PH5J6kCMMPahPAzDSbuVxY5k+RDPWqvaJpCWR0Y/vG8aIE3WfaFNLvEcIcu3NlQJIJF0RHdMEPSGUyfcn4PK++vCUBqEBqroZNGZNfObdReyunDXQ3bPmo7fcPXrL6142szDYmY6jCvDujgIAoG/n8LUdsy803/KGhi+PuHc1W8Y2OOYEHthYREAoLIMib0gqQjUOjWjBqAdLKQDGYklIBPwYp058phjw1G0M1NGLYrp2ilXXb2vfKwXIM8G2ZnGT20Nurd9iikkgZ4ce/RqfNPFmYUpqJICw6kRNGf2DizdhsgV3+HHlVYXIdDjCteau3JDvw0FUv07Z+ts0fXAw3LveBIGN7tYetMx67aEls8/6X0Dl2sU97UcTjgCOMsDVWNBdwtjoyI/eddHp9ODh/V/qLW9pbi5P4pIvZjDiGigYHAVTWG6i/Wg12TZIB7aaEKnA1uhJTMNWz6nddLqiH1f/fXXerd3GqU78DaZy/kw1FA5VZQYyneXmtfdjoCeRAyiUxJU+npQKE1cCZc3VwdVVihMJcvV9tN+JcFWASLYJBw/VEUBdETgoFQ4+x/IwNEHxmWva0VrM4MqPnHwo13D+ZePj7EeFQulYQPHYABwACsU6XHf9zT9Y0l0XtOeXfy1rPtKQy4isj0aHwzFkB14umhYprbXGEYMk+FJyKBOPUy22Bm6qgzDF5CfLRSRBn5wk+uQKb46A7hjIIq96DTHXdW6uWVhFTyADpkKEhoDXiDlE9rpBEH+jkI9H4I56o4ljR1v0z0zkfS5lP7UGivZmIGABlSG6HJ5vwDQYxjwX+/tLWDpr3sDASMsnRp/63TUnr7nwWMHw2AEcAC656ELcf9eNP/GCbvehzSPfo+xQcXYdR8EWgTuME1R8DuaR8OTVJAeDx2iCDt7QKuvPpy0EEVGAmvhvTH2bPE60ncSOgyQ4U3j+kUYIZA2gIYXQjw2EFlqfGLEFpeQRuiJDiA56bXGa/BxAxH3UZUBNDPUxQmMkrwwS3EoYAEQxftczUPVMKTVyVF0LlhXgw29uGHXMtg+t31K57t1/d8mxhOCxBTgA3PHYIWY59BeTY3P8C09v+PHOHTsyAacwKYHrc/hjBB4TADegOrnFF49ArZXUHyYtd9o4olVN4doqw2eqhal6Qp9oJPFBp1VRNCseThBt4RduStAPXRnRn9f5uFJIoC0ytbeoPRXhARCzClyady6Pqv6rg4jzI1UUCgCyIx9hCAKKoVEHnk9hGhx7Ji20dcyvvPr07HtK5YEbK5N4QW74mQzjhR9i+vFfv70Vf3vJO/iyns5NlGKDbZsXTo4NmaWiibYGCxOBh639HIwbcEwuPZjxTmhUs5Y1ish0VjjxF2vkRBLhsaQ2ZFa4//XGUtE+RN2qSzMBSLLoJtWeq7lNWdSq75O4umCq74ZkLZeU7eH5I9GVkaafn9jnSNE8dS+o0MIlBeEkZO2GwZCxPTj2OLbutbF5dwmub8B1ORqauypOruPtFbbw14cO2cHyU951rOF3dBw9RxrvfMeb0be7Pxjh83+1aP6sdy5fOneikKFY0kPxoTeOobV+BBVfLDptg8M2RD0MIwk+Gk9SSJz9GQ2S9kAz/8m4FHUbXQFIDVWKY+G5Fb/XP77+FcKIPv0JnngBNCdQuC+pOR5Pbks9V9OfwKTbXoE7YKI5gucb8H3hkrctHwdHq/jmTQ42bPUxNMJg57smDKfjnWeeO+tXGWN/8LJz3vQ8ztJzH38RgAPAB957CeY37+Xr1++8vrOz4z0L5ncNN5QCtJYnYZscjgFkLY6sBWRsDtvkMA0eB3nS2iR+ntADON1Iea3cHMe7RO7U/JzEjoeUYz6noQDLEVvUhd8tFmuiAzrxemggrpk1Rz430URPSIryM6gGs6rtSBBQuJ6BStXEpGui4lrwfBOuR7B/gGFwLEChrn24obH9PaODz15/2639fMXqY8u79XHMObg+Llq3Dj+59mfo7Wn8+fBovdXVUv76I+tHGz2Xo7XAUZ/ncEzxO3gB4PmiE4CSqGpiozVQhOshghhHPNKIu+7jskhSA08uZhVHB1ELLoQ0RPHTqUY6DxYbQzAn1ng1BYCIljFPNPzqsSupX7r2ofhTCpX2qtCdTyLPqXL4MAI/oPA8CjcQ7U4qVVNk+nAXZ6+00NF2Wn/P3MLHJ1z680xxNl7zunXHBFtTjb8owAHgne94qzxhB34CmOb9W1qunFW+q9nwR1FfNGEaBJ7PMDrJ4flRdX9AWPCwURGPW2wFblXtN9TXp/ogCYo5raJCSI1FV6+Jy4Y6UUm8WcrQQ1KBaGKGrnmljCidmmiTXL2QRN7MsL1g7HjxxOX4p9K7VKs/HqNpXCoi4KpYkJq40X4V18TIhLDalskxUQE62kq47L1nH5qwz/8kgfeThV31xxpaqeMvDvDw5JJWDI9M/HDdq84h5Yz5pT/ff1ezWxlHLmthvMJxcLuL8SoTi00igq5AAMIJoPq46EFFEJZMBerrFl+PzwjfX1M5dOEjCeoYddHUk/gikCSNf/y7Jrdz7f00xSKmXqiH2meP3O9RgfxajyVCoIMTiJSdxPGB2OfV2zwSymMTTE3qgBEEgQyzlb+HYTBYZoCqB+zbaWJ0nMA0GZobG7Fw+VmHOuecfhk4/6Fh1R8vmB0/gANAqS6H8fHxH6w95zS/oznzjUce/lO5pW4fioURDAcMv7m/iJYCQdHhMA1lwbmMdBPBQIEW10wJAMbDDBQlrSlNWA2SuEO0vxpnjaIboTczMQn01ydVkBj9id4/hmUN7GkWnckvovpG1rjuudYnU9O+oR+fxOZU7RVIa2agwo4RHpuGZd68gIbhswZlcGwfjXVjeHgLxW0PMpSyDk47oQ1LTzx9cFbPyktdDz/OZo9ubMlzHccV4ACQz+cR+P61S09YMTA2sndeV1vhK2z0N9brz2C4Z72BsckCGnIMWQcwKIHrcXgBF6t3JnotQvweIgWLEhDGo7hlnZOrkQC2+qce05BD64DmkoKQGPcOrXdo7ZOIrpXb9I+TXCiHV560x4p26fRMd8OHKkpU5m0qjhaBPGpeQGTPJQV4QBTdFMc24bomqj4N+zHlnAkMTozjpvuy2LzPw9v/5jSvc3buEyetWLHVcZzbbNs+3vA6/gAHAMM0WWX00VvOe8WZ9v7dz0x4NvtuL7mPLOyYpE/2ZZF3COoLBLZJMTrB0T/GMebKTrqQIbUU4DLTnsicK8rjl/DkiFlszfrGqUpyMZnYBwlgp1lvbcTjQOKqT7hu1uaEmpwq3zJagCZamGj7x0JmyRQY14uTUlWGgoclsGkIcgLTCBAEBvZNZDEybsKxRC1aywzw5A6KA8Ot7K1vOI2fuWrBP3R2L7rmwU373bWrjl7I6wsZLwqAA0CmuBIH9z3hUrv72pZW/4879lUuKhYOf6FoD6KxlENz2USpYMA0qxjyxrG+LwPTtmBTEZVocQ5OiYrQOOIiMxXISN5qFITUOnZ0663TGN16p7n9w5G4wihqQnj8s0vmFbXKQYKqSHqiCtrHSklMcxJU1J9e3110zxOd71Rp7Jzj4oGDHh7elINBOEoFA74PtDYYmDNrFt7yyvmfq2/uvX5RT/vuoZH97tpVi443nMLxogE4ALS0nwgAkz+/8dq+S944/8rfP9pq97QMfNrhB4yGoo/mso/erlGsPnEfPvl/Cnh4SxPMjI2sAWRkGQRAxEQYPG4d1ZhuEZjmaYyrKCm8Gwjd+cnXT/vmCUDHOLjaJaGuhFYbErsMYLJQa1RFVmrk8mxw7VqQhvOwnbm03mGtdyOAZfooZifxxDYPX/h5CWNDARa0MTQUKTw/i565K4OelsIXnVL2yhNnbwh6e9YcbwjVjGPuqn8+48Zf/hrl9nX8so+89Y+/vvHnTlebtypj9JutDf0oFg6id/Y46vNV/PZBBy5zEBCKQJpClZhsGiRUYGqqVUlrHO+JSRKueq1yleaWT7rpw1tZwSpNaUHsNhGoJbcnRzIOJ/Z6JCYTNO1dm2BhyEEYmqDoiEZLDBaqIZYZwLJ8WKboU+rYHkAmcfmPi7jv8TyIGSAILJRKJSw78dTq2rUXfrVt9pmf/d4XL+bLT3nH8YZN6nhRWXB9fPR9F2F8fAy53NinG+vPpm3tXWsG9/yY/uT2njXLZx0yT5w3gDOWVnDnk6Lv+mQlgGtFaXBMmUMNTDEcJaysAkloianuPZ06ngQagHR5ogbc2qhxTGkOrHAfWWUKcjODpvgRpa4AYAREPhGrT8jjdCY8LmoZC5HAN80A+WwVGdtF1TVhGRT3Pm3j4WfqcfpiG68+M+Pf9kDp/r992xvZ4oVz798/zD89MjKKurrpe1Uez/GiBTgA5PMFdfeyq6+5FQF7TXF+98TVxeKWN9/11GN0+34DbXUEjcUK6nODeHY4h/7ROhTNBO1QleCSSNNphV4Ji5AYsKduGqspKlDVuOIKjHofhHuIcaSQgljBTXkMBVgVfqomgfJmMi5a8EU0pfZNkq0KleufgMMyPRwaruDgCFCwsijlbLTWH8Kr1gA5ayE77aSeGy56df7vx8afHe1sXXG84TGj8aKkKGnjlpt+huuu+YK7auW8uzxa8m6+LxiwSOOiJnMArzuN4EPrhlANKnh0cx0KFkHWEtq5HpmoLtvJ6EBD3jf04pgJykJqQE8ErSEkvk2bEFDPhcSilglLPyL0GyDpiImfi3AhS6ItcdWHxNooqkKeYWShnqAgrbdlBshmqrj+LoKv/LQDE6NlWIaFxQt6cPqKppvmzDvvxkzdysvHvdLQkhNWHW84zHi8qC14chTLcwDg8JMbn/3sJ9//ru5nNm3Evme3vcHyNqGpuB/FHEPWBLImh20Clh6shUhZASJrqGvfRAPDdOCOW/w4Nw/VlwQoQ4utW2XNBSs8lfJYiDLauXZfvSSsXCzpSVjcngmtnmpyYtKNqqw2E3UwAU5BiAHXs+D5FvpHGPbsMzC+sIRi81IgP+emWd3zPtoyObHTyU/fk/LFOF5SAFdj+eJZGBzo33nmqiWX7morXOuYcz8yWSmftfnZrai3PJRyhgjakgCiRNYXgtgWKL+3lCmUZTcMYcGNMAY8JeZbWeikckKTfB0xFzpQGx2oB4spjyIFCQGsg1QvzANE4Qhg8VQ2BtElmFH13aLFJCDjSQLIpl0cvowG9DyKgHlYs7QI5FbigtUn3d3eXPjXuqaeJ4eG/Z3lcuvx/tmf13hJAhwAyg2NALCFc74FwNMbNvS3v/XCVf++qOuZ+U8++aSRsRgODHFUXY5iFrBNgoBxVFzp4YOo0gRJVxSNMeT9KHkhAWaQWLRgpJFrk4FGC0x1lVCpKyH3ZVosCRHzjRJZGVa+d6z+CcRzVL/yxGJTIL+XKHlsyIMTiLBjyxQlHCpVUVINCJB1GCYqHHsPZdFQb6Ox/ZRgde+CLbRp8n+e8/LV+wKGPtsgM/xFXpzjpf3ptTFwuB9+EHQ/tWlnZ0Odc8Ojj91dd+MftuUP7J9EZwNFPkNhWQRP7vRAuYH6HEcuQ5B1gIxN4VgUlklCK64JIvKWhDEaCvBhcXsj4vFKmlMjjKNmsk01EzWzGQP0XpfhRKE0LKJvGJG8mcy4Sao0BOoqBBFfbzNkHYZcJkA+66NUqIAQD09sLsMyTRRzPlrKY/A5sO3g8vGzzzp3JJ+prssWe/YQauysqysd75/0qIy/GoADQBAwUEoo/PHSPY9vXT006n+/b+Nmv29TXwP8keKKhR4e2dGPOx8uoasE1OUIchmCXIYiY1PYFoWhLBZXC8K440a57HX9WwHc1Pi7GioYKggEwH2fw2ccLOBgYS1uMdTi1qBUXEkMbXGclDU1kOtSoGkAtgVkHYZ8lqGQ9VGX99BcHsTtj3nY+EwHVi3JYt6c4mjn7J6BjllzzNEJ471WbvmfW5oywwBYTcvEl/B4yVKUtGEYIuv1oY37Bgv17bcTOrLgG9+/sXr7T7/0T48//sg7WvJ9Xrl1YtHGHdmMzSdk914KgwKObcCxBcA55/B9jiBspqQUEGi8OQpwISCh9TSNCHyKjgSyxR5jatHIETAGxjS9HgBlAtQEXKwD5HYdb2F5DR4tQoMA8APxnGGIW9NQgVIcE5PAZLGE9bvNSjbfumnegl5r5cknX3vPbR/733Pmf8npbCpUEOxnhPQc75/wqI+/nqk6xejbvAOmaZIHHvgzlvaOGdTKffehp+wFe3bvOnND314DrIqmEkUxBziOAduiYIyjfyiA6zNYprDshBAEgQAmOEKJkFICyyRwLMCxAcsU8lzoTpdJAp4PVKpAxWWoVAP4fmTBxcQRCohlUtgaZdK9sGqyBIEAvW0BlgW4LjAw7IvGT5TDpBytjTY6WxhKJQvcaA26umbd27eP9A0MTn5gbksmOHXVavi+z8tNXcf7Jzqm46/KgqeNBb1zgEh88EdHh/9+0WKnvP/g4X+57oY77E19O4NFvcWV5Tpycn//IEwyCmpU8acNBpryFI31NrKO6GYwNs7hecq6ctkChMA0KCglsC2OnMNhGIDrEfiBUCogLbLvi0lSdRk8nwkuTwE/ENlLBhWLRdOUkqWkKIDS64HJKsdEhcEwCEyDoJBlKLeM4InNHAYMtDbXIV9qgpM3HimXxx6tK3cbPYvOc/OFhk91znUHy/X1x/sn+YuOv3qAJ0exWAKAQQDvB4AtG+8CQM5yXfeCweHKOpOMLxyZHMDBO7ehrQRYBkNdroqWsovHNosOYa0NFvIZgsFRHyKcVCw2sw5HY70L8AC7DmRBCUEux+BYHFWPouoCnscwOhHA8zhsiyCfFdb68IgPMIbGEpDNGDANgpwDgHAMjhDkMkBrg4/dByrYsD1Ac8nA7LYsclkLi+YynF5ZAdusR1ND/hnLzt1gmtbvXPC717z8nON9yo/r+G8H8OSYv/hsALh7bHTw7i7gHnB/3s79h1i5dJgtXtjcs2h+yyctvhNd7S7u2rQHuw5MYH5nFk0NQ+jbnYFlZGBQoJA1kbF9tDaM4tf3BRjoN7BkjoOGOhdzOkbg+cDTW+rx+BaK9bt8+AHB3GaKcp2BJXMDzBofwq//WETWBsp1Jhybo74QwLTG8fjmSTTkS1jaMwYnZ2LrwEK01XOsPKkHjjFwpe1429/w6rOoZbdSxzG3Ari9qbF8vE/ti2L8twe4GoViGQBuV48PHz4M07Trhwb33z82EKCt1fNOObn3Y6efap+/uMvEaHUYDz7zJLzKJBgsgNrIZQ3k8xPYsIvCH3expBswzSH84bFx1OdNbNpto6udo8KqKBV9bN2ZRaVK0FzyUChOoMoysJwGlAoWGkoEDfUuyuUGvK1nGarVMpbNc5HJjN/xzOHMN1rrmbVo8VJ0zWq/u1J1hxqbXnpexr/E+P8An2I0CcAMAbgZANb37cQZp2CTY9HWhjrCdh2oIp/fhRHPA6UWCDXhmK739OFzr1jY6762YHBvwUITne39WL8/D9c0kW+gOHNpFScNEpTqGH73MNDdkENLR4DGhknrK+3ZW7//f3df4TiWlXEA22LI5+px8ooVODxUQFM9o4W8f+CKD2E7sece71P0khh/9SrKX3J8+Uf3gYC0jg/uKzUXXH7CPAMdLQP44yP1yGdNHBrhOPuECvqHDOTzwB+e8DCrPotlcxlmdXqkuaM8DI4DxH7t8f4qfzXj/wFgBko3B2Z8NAAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNjo0NjoxOSswMDowMJr/XboAAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTY6NDY6MTkrMDA6MDDrouUGAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 3}
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mf_hecke_traces • Show schema
Hide schema
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id: 9448800
{'hecke_orbit_code': 481086668845, 'n': 1, 'trace_an': 20}
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id: 9448801
{'hecke_orbit_code': 481086668845, 'n': 2, 'trace_an': 0}
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id: 9448802
{'hecke_orbit_code': 481086668845, 'n': 3, 'trace_an': 0}
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id: 9448803
{'hecke_orbit_code': 481086668845, 'n': 4, 'trace_an': -18}
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id: 9448804
{'hecke_orbit_code': 481086668845, 'n': 5, 'trace_an': -12}
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id: 9448805
{'hecke_orbit_code': 481086668845, 'n': 6, 'trace_an': 12}
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id: 9448806
{'hecke_orbit_code': 481086668845, 'n': 7, 'trace_an': 0}
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id: 9448807
{'hecke_orbit_code': 481086668845, 'n': 8, 'trace_an': 0}
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id: 9448808
{'hecke_orbit_code': 481086668845, 'n': 9, 'trace_an': -18}
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id: 9448809
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