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mf_newforms • Show schema
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{'Nk2': 2448, 'analytic_conductor': 4.886844603702359, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 17, 'char_degree': 4, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 8, 'char_parity': 1, 'char_values': [612, 8, [307, 137, 37], [8, 8, 1]], 'cm_discs': [], 'conrey_index': 145, 'dim': 16, 'field_disc': 5282463982669245284614144, 'field_disc_factorization': [[2, 48], [136993, 2]], 'field_poly': [4, 0, 462752, 0, 715372, 0, 414440, 0, 116445, 0, 17508, 0, 1434, 0, 60, 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': [[5, [4, 2512, 461560, -216880, 363976, -123784, 126468, -54720, 6565, -2504, 1344, 296, -120, -32, 28, -8, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9008711116784228, 'hecke_ring_generator_nbound': 17, 'hecke_ring_index': 32, 'hecke_ring_index_factorization': [[2, 5]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 17, 4, 1, 8, 0]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '612.2.w.c', 'level': 612, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 17], 'level_radical': 102, 'minimal_twist': '204.2.o.a', 'prim_orbit_index': 4, 'qexp_display': 'q+(-1-2\\beta _{2}-\\beta _{4}+\\beta _{5}+\\beta _{9}+\\beta _{10}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 4, 'rm_discs': [], 'sato_tate_group': '1.2.3.c8', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '612.2.w', 'trace_display': [0, 0, 8, 0], 'trace_hash': 1600027760396992225, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '14.800', 'prec': 20}, {'__RealLiteral__': 0, 'data': '2.232', 'prec': 17}, {'__RealLiteral__': 0, 'data': '692.580', 'prec': 24}, {'__RealLiteral__': 0, 'data': '813.699', 'prec': 24}, {'__RealLiteral__': 0, 'data': '48157.906', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.146', 'prec': 17}, 'traces': [16, 0, 0, 0, 8, 0, 0, 0, 0, 0, -8, 0, 0, 0, 0, 0, -24, 0, 8, 0, 0, 0, -8, 0, 8, 0, 0, 0, 24, 0, -24, 0, 0, 0, 32, 0, -8, 0, 0, 0, 32, 0, 24, 0, 0, 0, 0, 0, 24, 0, 0, 0, -24, 0, 0, 0, 0, 0, 32, 0, -16, 0, 0, 0, 32, 0, -16, 0, 0, 0, 0, 0, -8, 0, 0, 0, -32, 0, 16, 0, 0, 0, 16, 0, 0, 0, 0, 0, 0, 0, -48, 0, 0, 0, -88, 0, -24, 0, 0, 0, -64, 0, -8, 0, 0, 0, -24, 0, 24, 0, 0, 0, 8, 0, 0, 0, 0, 0, -48, 0, 32, 0, 0, 0, -64, 0, 56, 0, 0, 0, -40, 0, 64, 0, 0, 0, 80, 0, 0, 0, 0, 0, -8, 0, -64, 0, 0, 0, 0, 0, -8, 0, 0, 0, 96, 0, 0, 0, 0, 0, 112, 0, -88, 0, 0, 0, 88, 0, -88, 0, 0, 0, -32, 0, -16, 0, 0, 0, 0, 0, -32, 0, 0, 0, 40, 0, -120, 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mf_hecke_nf • Show schema
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{'an': [[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, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 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, 0, -2, 0, -1, 1, 0, 0, 0, 1, 1, 1, -1, 0, 1, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, -1, 0, -1, 1, 0, 0, 0, -1, -1, 1, 0, -1, -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, 0, 0, 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, 1, 1, 1, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 1, -1, 0, 0, 1, 2, 0, 0, -1, 0, 1, 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, 0, 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, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, -1, 0, -3, 1, 1, 0, 1, 1, 0, 1, -1, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 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5, 13, 0, -11, -7, -7, -3, 8, 2, 0, -3, 4, 5], [9, 3, 4, 4, 10, -11, 1, -7, -7, -5, -6, -9, 1, -5, -9, 1], [4, -2, -4, 6, 3, 0, -2, -3, -5, -2, 8, 8, 4, 6, 2, 0], [-2, 5, 4, -7, 1, -6, 5, -1, -4, -1, -5, -5, 2, 0, -5, 0], [8, -3, 7, -7, 0, -2, -1, 4, -1, -3, 0, -2, 3, -1, -3, -2], [4, 0, 4, -4, 0, -1, 3, 0, 2, 2, -3, -3, 4, -2, 2, -6], [-2, -3, 4, -2, -20, 6, 4, -12, 9, -1, -1, 2, -1, 5, 4, 0], [2, 2, -5, -5, -2, 5, -2, -1, -2, 3, 0, 10, 0, 3, 3, 5], [2, 0, 2, -8, -6, 2, 4, 0, 4, 4, 6, 4, 2, 12, 2, -4], [-13, 2, -2, 0, -6, 4, 6, 13, 6, 2, 4, 2, -4, 2, 0, 0], [-2, 3, -5, 10, -1, 0, 0, 0, -3, 5, 1, 8, -5, -3, 1, 3], [12, -1, 15, -6, 0, -10, 2, -4, -1, -3, -7, -8, 10, 1, -6, -8], [-10, -1, -1, -6, -2, 2, -4, 2, -3, 1, 3, 0, -4, -1, 4, 0], [2, -5, 3, -7, -1, 7, 0, 4, 5, -3, 1, 5, -2, 5, 1, 8], [2, 0, 2, -3, -1, -7, -5, -8, -8, -8, 4, -6, 2, 0, -1, -1], [1, 0, 1, -9, -8, -2, -1, -10, -2, -2, -5, 0, 1, -4, 0, -1], [-4, -6, 0, -5, -3, 0, 0, 2, 6, 0, 3, -3, 0, 6, 3, -3], [6, -1, 3, -3, 8, -6, -1, 4, -3, -1, -2, -4, 3, -1, -3, -2], [11, -1, 7, -3, 12, -3, -2, -5, 1, -1, 2, -4, 3, -1, 2, -3], [5, -5, 1, -14, 4, 4, 1, -8, 5, 0, -1, 1, 1, 1, 4, -1], [4, 3, -3, -9, 6, 2, 5, 16, -1, 11, 0, 8, 3, 5, 5, 0], [-6, -9, 1, 4, 4, 1, -1, 5, 7, -6, -5, 1, -4, 7, 2, 3], [9, 0, 5, -4, 4, -9, 6, 0, -4, 0, -6, -5, 8, 0, -6, -5], [20, 2, 3, -3, -16, 0, 3, 1, -1, -2, -4, 0, 2, -3, -2, 0], [0, 0, 0, 6, 6, 1, 1, 4, 0, 0, 5, 1, 0, 6, -1, 1], [-8, -2, -5, 3, 4, 0, -5, -1, -1, -4, 4, 0, -2, 3, 2, 0], [-10, 2, 0, -12, 7, 2, 2, -7, -4, 4, 8, 8, -2, 10, -2, 0], [6, 1, 4, 6, 4, -8, 7, 0, -4, -2, -9, -6, 0, -2, -10, -2], [-14, -4, -4, -1, -4, 1, 0, -6, 4, 4, 4, -3, -3, 4, 4, 1], [2, 0, 2, 9, 11, 1, 3, -6, 3, 3, -1, 3, 2, 4, -2, 0], [2, 6, 0, -7, -6, 4, 6, 5, 4, 8, 2, -4, 0, 2, -4, -8], [-8, 2, -7, -3, 2, 2, -5, -2, -4, 4, 2, -5, -2, -3, 5, 0], [15, 4, 1, -11, 11, -5, 5, 0, -2, 2, -1, -1, 0, 0, -2, -2], [-6, 2, -5, -6, 5, 7, 0, -5, 2, 9, 5, 3, -4, 5, 0, 0], [11, -2, 7, 6, -4, -3, 0, -8, 0, -6, 0, -3, 2, 6, -2, -3], [-6, 5, -8, 0, -4, -5, 6, -9, -13, 6, 0, -2, -2, -2, -5, 2], [5, 8, 3, -3, 3, -5, 5, 0, 0, 0, -5, -5, 0, 0, -4, -4], [-16, 1, -7, -1, 5, -1, -1, 7, 4, 3, 5, -1, -6, -7, 6, -1], [-1, -8, 10, -1, 6, 3, 2, 3, 16, -8, -6, -9, -3, -8, 0, -1], [0, -7, 6, -8, -2, 2, 1, 8, 8, -6, 7, 2, 0, 4, 0, 2], [-14, 4, -12, 11, -10, 9, -1, -8, 1, 1, 5, 6, -10, -2, 3, 4], [-4, 6, -2, 6, -6, -1, 1, 0, -4, 4, 3, 3, 0, 0, 2, 2], [8, 3, -7, 2, -3, -3, 3, -12, -13, 3, -2, 5, 3, 3, -2, 2], [6, -2, -4, 3, -5, 4, 0, -12, 4, -2, -3, 1, -4, -2, 1, 3], [7, 2, 10, -10, 6, -9, 0, -5, -2, -10, -6, -8, 3, -2, -6, 2], [-12, -1, -4, -11, -13, 8, -1, 13, -2, 7, 9, 9, -4, 8, 1, 0], [6, 3, -1, -4, 22, -6, -2, 18, -9, 5, 1, 0, 6, -3, -2, 0], [-9, -4, 8, -15, 17, 2, 1, 10, 0, -4, -1, 2, 5, 2, -5, 2]], 'char_orbit_index': 23, 'field_poly': [4, 0, 462752, 0, 715372, 0, 414440, 0, 116445, 0, 17508, 0, 1434, 0, 60, 0, 1], 'hecke_orbit_code': 9008711116784228, 'hecke_ring_character_values': [[307, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [137, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [37, [0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 450248976368, 450248976368, 52970467808, 52970467808, 900497952736, 900497952736, 2572256, 900497952736, 900497952736, 450248976368, 450248976368, 900497952736, 450248976368, 900497952736, 900497952736], 'hecke_ring_inverse_denominators': [1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2, 1, 2], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, 0, 2, 0, 2, -2, 0, -2, -2, -2, -1, -1, 2, 0, -2, 0], [-8, 2, -3, 1, -1, 0, 0, 0, -2, 2, 1, 1, 0, 0, 1, 1], [-30, 0, -30, 16, -14, 28, -2, 22, 24, 24, 11, 19, -30, 0, 24, 6], [100, -36, 53, -17, 17, 7, -7, 0, 34, -34, -13, -13, 0, 0, -14, -14], [446, 0, 446, -346, 100, -436, 10, -302, -344, -344, -131, -339, 446, -24, -334, -112], [-1438, 600, -875, 207, -207, -173, 173, 0, -546, 546, 172, 172, 0, 0, 208, 208], [-6990, 0, -6990, 6314, -676, 7164, 174, 4638, 5276, 5276, 1765, 5949, -6990, 724, 5074, 1916], [22070, -9868, 14195, -2247, 2247, 3345, -3345, 0, 8606, -8606, -2217, -2217, 0, 0, -3222, -3222], [113510, 0, 113510, -109662, 3848, -120440, -6930, -76406, -83612, -83612, -26267, -103867, 113510, -16624, -80942, -32568], [-350586, 162244, -229131, 20811, -20811, -59631, 59631, 0, -134274, 134274, 27368, 27368, 0, 0, 51210, 51210], [-1880270, 0, -1880270, 1868982, -11288, 2045204, 164934, 1312718, 1350148, 1350148, 417733, 1810189, -1880270, 347652, 1326254, 554016], [5678658, -2676900, 3696543, -113979, 113979, 1028905, -1028905, 0, 2082902, -2082902, -312587, -312587, 0, 0, -826054, -826054], [31499702, 0, 31499702, -31621302, -121600, -34904728, -3405026, -23054438, -22064916, -22064916, -6915903, -31526063, 31499702, -6942264, -22060974, -9438728], [-93075922, 44367492, -59729331, -1482029, 1482029, -17515135, 17515135, 0, -32213074, 32213074, 3020394, 3020394, 0, 0, 13442558, 13442558], [-531361998, 0, -531361998, 533836398, 2474400, 597503724, 66141726, 408821646, 363621812, 363621812, 117167337, 548890785, -531361998, 134696124, 370280198, 161081800]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1177839845590, 0, -4765884821288, 0, -5118882005523, 0, -1728005430420, 0, -264194956239, 0, -20013985161, 0, -730091944, 0, -10183231, 0], [834139859368, 0, -17202998438278, 0, -18805602643828, 0, -6973443020659, 0, -1225172767250, 0, -110704440654, 0, -4947624218, 0, -86362753, 0], [-37457113132, -12739898076102, -154574621844, -19981915899780, -121753921784, -11706031006803, -46130941900, -3313465288556, -8866998107, -500634663986, -872350943, -41140786928, -41712081, -1725343305, -766785, -28803044], [37457113132, -12739898076102, 154574621844, -19981915899780, 121753921784, -11706031006803, 46130941900, -3313465288556, 8866998107, -500634663986, 872350943, -41140786928, 41712081, -1725343305, 766785, -28803044], [691188026456, 235059249358272, 12105874045474, 353089832963568, 14685750256246, 199956544935140, 6081895983335, 55492341655432, 1159917430273, 8290208940598, 111434060969, 676673874128, 5215141977, 28257173258, 94265158, 470397100], [-691188026456, 235059249358272, -12105874045474, 353089832963568, -14685750256246, 199956544935140, -6081895983335, 55492341655432, -1159917430273, 8290208940598, -111434060969, 676673874128, -5215141977, 28257173258, -94265158, 470397100], [0, 874905524, 0, 1331873950, 0, 761904098, 0, 212104547, 0, 31676582, 0, 2581674, 0, 107628, 0, 1789], [-345529433242, 283805077784822, 10340297968278, 441876241326876, 9591550356055, 257208904350375, 3092284932373, 72530523488424, 489648271146, 10941952531944, 41289910746, 899051581736, 1769619153, 37723759683, 30183059, 630241980], [345529433242, 283805077784822, -10340297968278, 441876241326876, -9591550356055, 257208904350375, -3092284932373, 72530523488424, -489648271146, 10941952531944, -41289910746, 899051581736, -1769619153, 37723759683, -30183059, 630241980], [487357836308, -165761866021268, 1371589038938, -264225212267472, -99090963372, -156317046040216, -297914865297, -44397804203222, -73093876203, -6709646651825, -7315411723, -550744767037, -333947021, -23059716203, -5768030, -384330901], [487357836308, 165761866021268, 1371589038938, 264225212267472, -99090963372, 156317046040216, -297914865297, 44397804203222, -73093876203, 6709646651825, -7315411723, 550744767037, -333947021, 23059716203, -5768030, 384330901], [1180083186368, 401308473215848, 25565490162696, 618686634269978, 25301012335574, 356174500011984, 8749033688262, 99592230993357, 1442431117793, 14926761716220, 123337412129, 1220103229442, 5266939953, 50982942440, 88634985, 848959971], [-487357836308, -400184344456296, -1371589038938, -614687276659692, 99090963372, -354203774305028, 297914865297, -99105919846354, 73093876203, -14849116624604, 7315411723, -1212588675134, 333947021, -50607784084, 5768030, -841692656], [2719728082012, -925127497705982, -21061790265862, -1424112015933552, -24727944611256, -823930529271495, -9899692593497, -231543839462682, -1870905126755, -34847511079170, -180044740671, -2857862201528, -8466451041, -119731104237, -153784274, -1997867746], [2719728082012, 925127497705982, -21061790265862, 1424112015933552, -24727944611256, 823930529271495, -9899692593497, 231543839462682, -1870905126755, 34847511079170, -180044740671, 2857862201528, -8466451041, 119731104237, -153784274, 1997867746]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 16, 'label': '612.2.w.c', 'level': 612, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 2448, 'analytic_conductor': 4.886844603702359, 'char_conductor': 17, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 23, 'char_orbit_label': 'w', 'char_order': 8, 'char_parity': 1, 'char_values': [612, 8, [307, 137, 37], [8, 8, 1]], 'conrey_index': 145, 'cusp_dim': 384, 'dim': 28, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 1511862043236, 'hecke_orbit_dims': [4, 8, 16], 'label': '612.2.w', 'level': 612, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 3, 17], 'level_radical': 102, 'mf_dim': 480, 'mf_new_dim': 28, 'num_forms': 3, 'prim_orbit_index': 4, 'relative_dim': 7, 'sturm_bound': 216, 'trace_bound': 1, 'trace_display': [0, 0, 4, 0], 'traces': [28, 0, 0, 0, 4, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -12, 0, -4, 0, 0, 0, -16, 0, -4, 0, 0, 0, 12, 0, -24, 0, 0, 0, 32, 0, 4, 0, 0, 0, 28, 0, 36, 0, 0, 0, 0, 0, 12, 0, 0, 0, 4, 0, 0, 0, 0, 0, 60, 0, 20, 0, 0, 0, 24, 0, 32, 0, 0, 0, -16, 0, -20, 0, 0, 0, -28, 0, -8, 0, 0, 0, 4, 0, -12, 0, 0, 0, 0, 0, -24, 0, 0, 0, -100, 0, -36, 0, 0, 0, -104, 0, -32, 0, 0, 0, -24, 0, -12, 0, 0, 0, -4, 0, 0, 0, 0, 0, -56, 0, -4, 0, 0, 0, -68, 0, -28, 0, 0, 0, -8, 0, 28, 0, 0, 0, 88, 0, 24, 0, 0, 0, 32, 0, -52, 0, 0, 0, 0, 0, -20, 0, 0, 0, 68, 0, 0, 0, 0, 0, 116, 0, -40, 0, 0, 0, 104, 0, -52, 0, 0, 0, -28, 0, -4, 0, 0, 0, -52, 0, 52, 0, 0, 0, 52, 0, -48, 0, 0, 0, 0, 0, 44, 0, 0, 0, -76, 0, 56, 0, 0, 0, -144, 0, -8, 0, 0, 0, -52, 0, -16, 0, 0, 0, 68, 0, 0, 0, 0, 0, -40, 0, -36, 0, 0, 0, -96, 0, -36, 0, 0, 0, 92, 0, 16, 0, 0, 0, 96, 0, -84, 0, 0, 0, 144, 0, 16, 0, 0, 0, 0, 0, 44, 0, 0, 0, 68, 0, 0, 0, 0, 0, 188, 0, -20, 0, 0, 0, 36, 0, 80, 0, 0, 0, -100, 0, 132, 0, 0, 0, -92, 0, -56, 0, 0, 0, -44, 0, 92, 0, 0, 0, 0, 0, 132, 0, 0, 0, -192, 0, 12, 0, 0, 0, -248, 0, -80, 0, 0, 0, 16, 0, -20, 0, 0, 0, -36, 0, 0, 0, 0, 0, -20, 0, 32, 0, 0, 0, -136, 0, 36, 0, 0, 0, -32, 0, 44, 0, 0, 0, 216, 0, 92, 0, 0, 0, 72, 0, 108, 0, 0, 0, 0, 0, 12, 0, 0, 0, 116, 0, 0, 0, 0, 0, 196, 0, 160, 0, 0, 0, 172, 0, 72, 0, 0, 0, -64, 0, -96, 0, 0, 0, 12, 0, -52, 0, 0, 0, 132, 0, 96, 0, 0, 0, 0, 0, -108, 0, 0, 0, -116, 0, -56, 0, 0, 0, -80, 0, -8, 0, 0, 0, -108, 0, 60, 0, 0, 0, 80, 0, 0, 0, 0, 0, -52, 0, 60, 0, 0, 0, -24, 0, -52, 0, 0, 0, 108, 0, -48, 0, 0, 0, 112, 0, 16, 0, 0, 0, 116, 0, -172, 0, 0, 0, 0, 0, -164, 0, 0, 0, 4, 0, 0, 0, 0, 0, 204, 0, -80, 0, 0, 0, -4, 0, -248, 0, 0, 0, 32, 0, -48, 0, 0, 0, -124, 0, 16, 0, 0, 0, -60, 0, -44, 0, 0, 0, 0, 0, -128, 0, 0, 0, -168, 0, 8, 0, 0, 0, -232, 0, 64, 0, 0, 0, -120, 0, -72, 0, 0, 0, -132, 0, 0, 0, 0, 0, -176, 0, -36, 0, 0, 0, -152, 0, 20, 0, 0, 0, -40, 0, -156, 0, 0, 0, 232, 0, -112, 0, 0, 0, -60, 0, -84, 0, 0, 0, 0, 0, 112, 0, 0, 0, 52, 0, 0, 0, 0, 0, 52, 0, 32, 0, 0, 0, 188, 0, 296, 0, 0, 0, -44, 0, 148, 0, 0, 0, -132, 0, 44, 0, 0, 0, 84, 0, 48, 0, 0, 0, 0, 0, 172, 0, 0, 0, -16, 0, -8, 0, 0, 0, -112, 0, -40, 0, 0, 0, 20, 0, 8, 0, 0, 0, 200, 0, 0, 0, 0, 0, -36, 0, -20, 0, 0, 0, -60, 0, 48, 0, 0, 0, 92, 0, -48, 0, 0, 0, 80, 0, 156, 0, 0, 0, 148, 0, 260, 0, 0, 0, 0, 0, 44, 0, 0, 0, 0, 0, 0, 0, 0, 0, 76, 0, 188, 0, 0, 0, 52, 0, -48, 0, 0, 0, -152, 0, -248, 0, 0, 0, -64, 0, -24, 0, 0, 0, -124, 0, -132, 0, 0, 0, 0, 0, -68, 0, 0, 0, -296, 0, -140, 0, 0, 0, -136, 0, 32, 0, 0, 0, -8, 0, -80, 0, 0, 0, -164, 0, 0, 0, 0, 0, -60, 0, -116, 0, 0, 0, -64, 0, -108, 0, 0, 0, -56, 0, 48, 0, 0, 0, 72, 0, -64, 0, 0, 0, 100, 0, -68, 0, 0, 0, 0, 0, -260, 0, 0, 0, 96, 0, 0, 0, 0, 0, 4, 0, -192, 0, 0, 0, 204, 0, -280, 0, 0, 0, -40, 0, -88, 0, 0, 0, 76, 0, 96, 0, 0, 0, 196, 0, -144, 0, 0, 0, 0, 0, 28, 0, 0, 0, 76, 0, 232, 0, 0, 0, 64, 0, -56, 0, 0, 0, 36, 0, 88, 0, 0, 0, 216, 0, 0, 0, 0, 0, -28, 0, -36, 0, 0, 0, 24, 0, 76, 0, 0, 0, 124, 0, 56, 0, 0, 0, 208, 0, -124, 0, 0, 0, 84, 0, 20, 0, 0, 0, 0, 0, 188, 0, 0, 0, 52, 0, 0, 0, 0, 0, 240, 0, -76, 0, 0, 0, -60, 0, 416, 0, 0, 0, 16, 0, 364, 0, 0, 0, 104, 0, 100, 0, 0, 0, -156, 0, 172, 0, 0, 0, 0, 0, 264, 0, 0, 0, -104, 0, 92, 0, 0, 0, -152, 0, 64, 0, 0, 0, -104, 0, 132, 0, 0, 0, -148, 0, 0, 0, 0, 0, -56, 0, 124, 0, 0, 0, -20, 0, -12, 0, 0, 0, -88, 0, 64, 0, 0, 0, -88, 0, 208, 0, 0, 0, -200, 0, 348, 0, 0, 0, 0, 0, 76, 0, 0, 0, 116, 0, 0, 0, 0, 0, -60, 0, 296, 0, 0, 0, -40, 0, 136, 0, 0, 0, 140, 0, -112, 0, 0, 0, -52, 0, -108, 0, 0, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 415142
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 15, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '204.2.o.a', 'target_level': 204, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 415143
{'conductor': 51, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 15, 'target_dim': 16, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '204.2.o.a', 'target_level': 204, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '51.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 415144
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 23, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '612.2.w.c', 'target_level': 612, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 415145
{'conductor': 17, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 23, 'target_dim': 16, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '612.2.w.c', 'target_level': 612, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '17.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 415146
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 43, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '816.2.bq.d', 'target_level': 816, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 415147
{'conductor': 204, 'degree': 4, 'multiplicity': 1, 'order': 8, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 43, 'target_dim': 16, 'target_hecke_orbit': 4, 'target_is_minimal': False, 'target_label': '816.2.bq.d', 'target_level': 816, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '204.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 415148
{'conductor': 51, 'degree': 8, 'multiplicity': 1, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3468.2.a.o', 'target_level': 3468, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '51.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 415149
{'conductor': 51, 'degree': 8, 'multiplicity': 1, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 1, 'target_dim': 8, 'target_hecke_orbit': 16, 'target_is_minimal': False, 'target_label': '3468.2.a.p', 'target_level': 3468, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '51.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 415150
{'conductor': 51, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 2, 'target_dim': 16, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3468.2.b.h', 'target_level': 3468, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '51.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 415151
{'conductor': 51, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '3468.2.j.h', 'target_level': 3468, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '51.i', 'twisting_char_orbit': 9, 'weight': 2}
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id: 415152
{'conductor': 51, 'degree': 8, 'multiplicity': 2, 'order': 16, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 23, 'source_dim': 16, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '612.2.w.c', 'source_level': 612, 'target_char_orbit': 10, 'target_dim': 16, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '3468.2.j.i', 'target_level': 3468, 'twist_class_label': '204.2.o.a', 'twist_class_level': 204, 'twisting_char_label': '51.i', 'twisting_char_orbit': 9, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1120225
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008711116784228, 'p': 2}
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id: 1120226
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 9008711116784228, 'p': 3}
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id: 1120227
{'charpoly_factorization': [[[4, 2512, 461560, -216880, 363976, -123784, 126468, -54720, 6565, -2504, 1344, 296, -120, -32, 28, -8, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 5}
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id: 1120228
{'charpoly_factorization': [[[4096, 40960, 100352, 397312, 5407232, -2990848, 1023424, -401344, 131844, -27824, 4760, 240, 72, -24, -12, 0, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 7}
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id: 1120229
{'charpoly_factorization': [[[4734976, -10584064, 15839232, -12879872, 5693952, -984576, -301344, 184400, 6977, -16712, 2288, -376, 192, 8, 16, 8, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 11}
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id: 1120230
{'charpoly_factorization': [[[121264144, 0, 792919776, 0, 326167800, 0, 56647464, 0, 5292993, 0, 286204, 0, 8926, 0, 148, 0, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 13}
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id: 1120231
{'charpoly_factorization': [[[6975757441, 9848128152, 6855069596, 3100967688, 1017452822, 255751128, 50932204, 8699784, 1704418, 511752, 176236, 52056, 12182, 2184, 284, 24, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 17}
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id: 1120232
{'charpoly_factorization': [[[4421718016, -7021977600, 5575680000, -1296589824, 188608640, -55693184, 40714368, -9715792, 1239233, -108920, 73376, -17816, 2210, -56, 32, -8, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 19}
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id: 1120233
{'charpoly_factorization': [[[2264237056, -4814739456, 7465552384, -5344024576, 1487778944, -77330752, 59177840, -1893616, -653695, 452040, -41720, -16792, 4064, 440, 8, 8, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 23}
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id: 1120234
{'charpoly_factorization': [[[14168617024, -35976231680, 49226733440, -43336409600, 25412739200, -10096975232, 2820210304, -554546688, 71895572, -4449008, -301336, 87232, -3064, -1352, 268, -24, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 29}
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id: 1120235
{'charpoly_factorization': [[[18939904, 6684672, 253198336, 1344667648, 2135564288, 1004474368, 502135808, 95450112, 34175040, 7649792, 400960, -91584, -12768, 224, 216, 24, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 31}
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id: 1120236
{'charpoly_factorization': [[[2347024, 35542400, 198954240, 436950080, 282099200, -157831040, 29640192, -10102240, 3953032, 68064, 219456, 67728, 11008, 1248, 128, 8, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 37}
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id: 1120237
{'charpoly_factorization': [[[48146014084, 2666416144, -17764100536, 1811938464, 3432095368, -1958084472, 854834524, -334334632, 103181765, -24266200, 4316256, -578072, 68232, -6784, 548, -32, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 41}
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id: 1120238
{'charpoly_factorization': [[[18339659776, 12758024192, 4437573632, -7807016960, 4212147712, -580019200, 238998016, -203537568, 92443841, -22066136, 3205664, -281912, 19362, -2008, 288, -24, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 43}
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id: 1120239
{'charpoly_factorization': [[[303038464, 0, 3462922240, 0, 2320990208, 0, 476307456, 0, 41951488, 0, 1724672, 0, 33760, 0, 304, 0, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 47}
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id: 1120240
{'charpoly_factorization': [[[1183744, 2785280, 3276800, -1236992, 7613952, 15520768, 16089088, -2091520, 435728, 390592, 162944, -3744, 1896, 1264, 288, 24, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 53}
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id: 1120241
{'charpoly_factorization': [[[4734976, 276856832, 8093990912, 8977870848, 4929552896, -1446039040, 207045120, 15668928, 20239876, -6221664, 910464, -37088, 13196, -3600, 512, -32, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 59}
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id: 1120242
{'charpoly_factorization': [[[2539777694224, 5208566000384, 4546407032256, 2228340739712, 749158527104, 179720312960, 31620630688, 4116003136, 400397960, 30133696, 1989552, 7456, -11232, -736, 72, 16, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 61}
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id: 1120243
{'charpoly_factorization': [[[-1482496, -808960, 55488, 78208, 5124, -1936, -204, 8, 1], 2]], 'hecke_orbit_code': 9008711116784228, 'p': 67}
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id: 1120244
{'charpoly_factorization': [[[39337984, -1337491456, 14003118080, -16306798592, 1358383104, 4091692032, 646878976, 264410880, 236543504, 26050688, 5479552, -57088, 10368, -3904, 144, 0, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 71}
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id: 1120245
{'charpoly_factorization': [[[502805791744, -1252260753408, 5294989423616, 39228608512, -224737553920, -8009505536, 4714447296, 643098048, 113235972, 17164848, 2457448, 147776, -17656, -2200, 108, 8, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 73}
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id: 1120246
{'charpoly_factorization': [[[58866405376, -28478234624, -17071785984, 14187919360, 413282816, -3096340736, 2529658432, 376206336, -40605052, 4606032, 1770904, -375376, 45128, -3832, 276, -16, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 79}
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id: 1120247
{'charpoly_factorization': [[[3494281508552704, 768140252282880, 84429294796800, -8073184018432, 2132804009984, 433811783680, 53156937728, -6129963008, 533995776, 47563776, 6199296, -761856, 50400, 960, 128, -16, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 83}
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id: 1120248
{'charpoly_factorization': [[[641585799247936, 0, 117037148351872, 0, 7835068023200, 0, 261457580448, 0, 4805998196, 0, 49899408, 0, 287084, 0, 848, 0, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 89}
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id: 1120249
{'charpoly_factorization': [[[1671373209856, -810854195200, 1535467750656, 646611200256, 53362150528, -6488098560, -540887136, 74201952, 19703940, 6872368, 1789080, 311152, 38664, 3480, 300, 24, 1], 1]], 'hecke_orbit_code': 9008711116784228, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 23, 'hecke_orbit': 3, 'label': '612.2.w.c', 'level': 612, 'portrait': 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MoQa0GcBix2JIORT+AJhNHMTWnWTaYsdUI6A8Ew8VnuCzZOahbbmhPnFTU/YOMMbJmL2DA7ZP3siI2zI7ZsMGzbqLhyq09dNTl6YoIHnw14/EDC08djUtXlW1/R5h23GupqlgPHpzh6xuP0hZRzGbgPLRhuunqeX3jvMlvXTXLmwhQXlmsstn2W2pKVbkqnl9IbCg4cXeDAyfaVTx2cf+WRUxd2HDs9/8Wbv+Vd0X23/+ULDYlv6PYPmsGXltsMI4OneN99Txy59ed+86/lu28+dOu/fucpb2FlPUvtCRZXGiy2AxbbHottWGqnLLVjFldSzq3A4UXB3LoV/uP3LvKS3Q1Onp/hzIUmZxY8zi8azi0knJpPudBNmJoZ8vJre7zsCghknVCFnF+qcXbB49ySoD+CJNHUAk2zljI9maCB4+cSOj3YvsGnWR9hjAAR0Btotm0csbjigbFSZKUHowQMhqV2xOb1Pt2BQiiD0CMmaj7bLhmy0hccP+ORao/ZCUmrJgh9SBJBfyQ5tyQ5u2g4v5wQhkPwE26+qsetVwvmJuosLk9w8nzImQU4v5Bwfinh9BIcXjTceNUCv/S9y2ycmuDEuRnOLdaZXw5YaEuWVlKWOzHLnZSlrmahKznVgeWlLr/+f0bJd39L4/5w7gd10LzifinSn0t1SFibeKGhctHbP1gG//CffYJbXnYDP/Vv/s0vf+QTd/6fH/jIVy7bd2Jlx6EzPfnya7pceokmTT2MURhj2RsjAQkIhDB4whBIOLNY5+FDkmt3LXHF1iGNGvieJPAVQeDRrEsavqTf89l/rMaXHg84fmFEJ4nZf3LEhtkl3vryZa69rMuNV7Q5tpCw0Bc0wiFHzhjanSbXXCpZGabsPaZoNTyeOw6XbzIMo5RhGuB5MdMt2HcyRHkpvkzwfBiMJC+5os+gL7n2spTOIOX4mRY7NyqajYiVkWH9VJ/lXoeP3QlPHk15+uiQ7ZsWuW5Ph+mZiLfc3OU7XmXYtbFFGk9x9PQkh0/5nDynOXUh5tSFlMMXBCdWYl60e57/+L1dNkxNcfLcDOcXG8yvBCy2JcvtlHY3ZqWXstwzLPUE5/uKpU7CTVcs8BNvm5c1z+xYOH9s53CYvDRo7KrXm9NffvT+T/MHH/zzFxoya97+QTL4X3zsr9lz2Wb1yBOH/v3R4+d+/pGnj6lzSxELQ8XZvuHa7ef59R+d5/pdDc4vTrPYbrDUrrHU9lnqeCx3YbmdstxJWOomLLTh5LLAqw+55eolvvNVETvXN1npTXBhqc78UsBCW7DUthJhuavpDDSdkaE/TJidiNm2QQOC0DecuuAjZMj29Yqdmwyb1vc5vzziqYMtXny5oVFf5tlDM7SaEVHkMzutGQzhym1DPnLnFHu2JoxGhnWTkjgd0KqFPHdsSN1vcv3uhKePRJxfDNg8G7LzEti2MUKpmFMLEPgGIQzbNyRMtyTdQUiv79Pp+yx1FEsrsNjWLLVTFtop59qwOEzZtrnHd756gVuu8Kj5E5xdmGBhucbCisdSR7Dc1qx0Y5a7KSs9w2IPznUV51cSXrLnHO//0UUu39xksT3BSiekO5xEhJenQW3jL4vapb9kojPpK17z7S80dFbd/kEB/MD+A9TqtfqZ06e2Pf7kc+85evz0fzpw6BSDSNIdwvJAcKGvONNNuPHSc/zajy5x3aV1LixPs7jSYLlTY6njs9zxWO5Au6tZ6SYsdxOWOobzbcGZngHR4x2vaPOWl2guvaRGFDVYbtdY6QW0u4rlnqDbFwxHhigxpCkoaQh9qIeGqQnD+pkYzx9y+GzEM4dCdNLkTS+N8PwVHts7yY5L4PMPJ7zimpAL7QE1T5GkMTPTkMQ+np+wuNjg5Td0+PwDLXZeAo8eHOHT4I0v0SRiwDOHU46equHJgA3THtNNQT0UBIFACUg0RLFhGEG3b1jpabp9zUpfs9gzDNKU7Vv6vOVlbd5xawS6xeLKJBeW6lZvdzyW27DSTWn3ElYycC/14WxHMd9JuXH3ed7/oxe4anudheUplrsN2r2QTtdnuSsIG1totDb8u41brvjLTZs3nxgNh4Pdu/e80FAqbv9gAH7i2EHm5tYFBw8d/v4DBw797iOPPikWl3tyONL0hpre0NAZwMpAcmEgOduNecllF/jVH1rkhstqLKxMsbjSZLkTstINWO56rHQF7a6h3UtZ6Sa0e5rlnuFCV3C2rZme6vMtN3a5+YqE7RsUE3WfTrdG6EtAESUSrQXaQH8ICM10a8jB0wZtIu54tMmoX+eyzQG3XNsn1ivc/fgU11/uc/Bcj/byBC+7ts+XHwvZMGPYe9zwv7+9w95jIRtmJF96XHHLlYqlfocjJ2e4fnfE3c8MSEYNbr4qYNfWIYOkx+2PKUgFh095TDQ8PAH9gUQbQaoNcQJIjRdo2j1DsxWz9ZIRt17Z51tenDDbrHF+aZLFlTrLHbtvljuCdg/a3YR2L6HdS2n3DUt9ybmuYKGb8NI98/zyD81z3c4a8yuTrHQbdHohnX5At+/R7Uu6A0Gia3rnZdeYHTt2/cSluy7744WF+ejKK/5hgPwfBMDjOJHRaPDWRx78/GWDYfL+Rx5+zO+PYBgZBsOU/jAtQN4dCNoDwYWB5Ew74eYrL/C+H5rnxbsCVjqTzC+3aPdqrHQDVnoe7a6i3Yduz9DpJ9YdGGjafcN8TzDfgzgdcd3lAzbOpPT6hje/bMSOjZoklXjSEMVw11M1Tlyoccl0wrOHa6AbXLFFccMeTVjr89jBPvMLTa7e0WRiapkHnva56fIai/0Vlpcn2LjR8PBexfe8tscjez22rPdZ6LVZXprhhiv7PPBsykx9iqsv63Gh3ebh56eoe01u3GPYvW0IssdTRwXrZ2LOz8fc/ZTPMFZICak27Lgk4lteFtHtKTZNa264HKKowVK7wVI7ZKXn0+kr2j1JpwedvnVKuv2UTl+z0jcsDSSnO4L2YMQtu+f5pR9c5sbL7cnR7tbp9EO6fZ/uwKPbV/SGkt5A0O2ndPsJ199wY4xQP/3ud37boUaz/lnf8/ULja0XPJM5GvZJov73njjy+K9fOHtwZmF+iWZDIqQNFDEGU/y0tQCFMEhpkNLjkQMb+LkPerz9liW+67VL7NwccW5xgjCoUw8DGqFPs+7RrUtaA5/JpmdPmEHKhpFmMDJ0hyFL8zVOnTREieb0uYQwNIAgUAZPCvoDhcAn6Xu8aIdg1ybDts19RmmXLzyi2Hdomje8OOSGK5f58BcMgWiwY3Ofpx9QbJ5SrJvoU1N1otjnQheaNY8tGwRP7ou4YXedV12/wJ/cNiDwW7z+pQY/7POVhyM+/1CT54/WuXRTgx2XpMxNR+xcF3PNjhSlNJ4ygKERhsxNhUSxT7cf8OxB35YoDHIgQm9o6PXtd+8OUnoDQ2dgWBnAfF9xftnQmGzzk2+a59tvGXHdpU3OLkzQ7tXoFuBW9LLf2R8KBiPDKIYkhXvve8SfnJ799Q0bHll61ctf8q+7vf6ftJqNFxRfLyjAk6gPgh88e/z+9x3d99WZaNAlDAIMEmOhbD+iSBGAECCF7aRR0qBkSiAlTx+c44kDTQ6eucDbb+1x61VDploTLLUbNDs1JgYBvb5nD85QMhh69Ecew5FhGGmi2BDHhiS1W5QEGA1SCXxPUAsEUy3BdAs2rtNs2dBn3XSbLz4G9zzhI/Ukb3ixz4uu6HLf8zHRcIJbXiRoDwZcWGxy827Nuqk+dS9kmCjmOzFKC16026PRGvH4/hqvvGGSl13X5fH9CswkL74q4Ae+dYkvPxnxpUea7D1RY9ucYuNMnelWg8kW1EPwPYOSoA3sPSpIU0GcCKIERjH2O45SBiPNcKTpDzX9kaY3gM4I5nuSC10Y6SGvu36Jt97a5p++XpMkE5xbaNLp1egOAnoDn95A0R0o+kNRgHsw1AxHKaNIM4w080fPcPYvvzDT6aX/5W3f+kqv3e1/cLL1woH8BQN4PFpEkPzAwum73nfhxJfXe6LPRDNkMNKU9T0SgUAIhRACKcnADUoZPGXwlabuCxb6dT565xa+8kSHV1yzwntft8I1O3vMTjVYXGnQHYT0B34GbGW3SDCKJXEiSBJ7qTfZ5UJJg+dBLYBGXTPTitm8vk9Cj4OnYz52d40jJ5tMhXVuusrj5ms7PHygzR0PTvDSy2tsu6TPR+4UKBEy0YpZ6Y3QBpSAuYk+nW6ATuq89RUX+OjnG+w6X+MtL+0TxYvc/cwscVrjJVet5y03dbh8a5uvPN7n6ZMNnjoasGVGMjMhaISCwLcnoRQghEEb0NoQJ9nJGhtGsT2RhxEMIugOBcsjwVIXhDfk+j0rvPdbVnjFVSmzE3WWOw3a3Trdfkhv6NMblFeC/kgyGEI/O3GGw5RBpDOygEQrTp1t86GPfml9d8T73vVtt5oz55f+aNOGmf93ADydfx/nVy6ne+4z35ckvfe3F55Zp0yHRr2OEIllaixbI0AIiRACISRKekiZopTILs8aXxlCz1D3BMtDxWJ7mo/f1eShZ3vcct0K7339CtfvajOb1kmSkP6wRm/gMxh5RLEiTiRJKkm1QBths6DCEAaaRi0hDCICf8TpxRG3PSo5dCrg6KlplA7ZdUnAlTsVL76igwrneeZwi81TDa6+FDbOLbPUmeCazZJEG774SMioL5lqJrzxJUM+e3fMiXMt9lzmc3ZlyHNHfLZumOa6nfPc93SXB54TjKKAK3bOcMXWkCu2dDl8dolDp+GRfQ0OHmnS8AShJ2mGhpoPUtp9Z4w9WZMUogSiVNAbCTpDQSeGSCdoM+TGyzu891s6vOKalEtmQobDSRbbNbq9kN4woD/w6A0V/aFiMBIMhpLByPaNDkep9fhHFtyDSNuYKYJRqjh/ts0f/MWd658+fOH9U5ON5L/8wW0ffnjfOT72a//8Hy/A/837fhu57rN4Hf6pjI//Ztw5PeXhUa/VQMQZsE22KYTAsrUUKCXwlMruNZ5K8T1B4GkC3xD6hkaQMlUTdEc+y51pPnHPBHc+NWTDdJ/3vLrNFVuHDAc9rt5p2LpRMYp90rRM8wsMUmp8L+X4ecPRc4KVgeYz9zU4vTCNiXyma4pNsx7bN3pcuhmu3tVBywU+8NkmS0uTvPQKj6t3tfnKUwKR+KyfljQbCf04QBoJRqK8gPZQcH5JcJVp8OoXd7n/8Tqb1gW89OoZ/vm3LvDHn+/yyP4mvaHP4kqLnZvq7Lmkz0t2d3nnK7ucWVriM/eFLPZDjp/1OX06wFcCKe1VTxtDqiHWhjTRTM/GXHtVn9Eo5oqtI9716hHrJxUzrZA4rnF2vkZ/ENAf2avcoAC2tOAeCYYj7JVglDKMNKMotcwdmwzkMIgF/UgwMh5nz3Z47q8fXHf1pRt+82U3rI8/9msv+vOlk+9jZuvP/eMD+I//8sfY8PL3iO/9afXuTa1n//A7X/lU4+qdId1eE5AIQbaZUmtLKxWklCgp8ZTAU9m9J/C9lMATBL6m5hvqsaERGSZrKdN1QT+SdKMmR081+dU/nwGdIJKEF1/bZ+fGiCQBbTTG2CSOFAKpBJ4fsP9EwN5DNZo1j1YgWdcQzM1K1s94bJpTbL8kZc/2FVKxyG99coLjJ6Z46W6fK3akDJIuDz4TMlX3mZ00TLUiGnUrhbSWtIeKpZ5hsZ3S7tV5+dUrPLq3z74TiqmJGi+5aoofeusiv/MpePxQk97AsNL1OL80wcZ1DdZPD9k+O+TfvLvPRKPN00dh/0mJ7xuUMgihAWP/M5AksGNjyi3XJKSxT5yEGNNgGPmcWwgYjOwVbRipQr4NIsFwJBhGlrVHkc3Kjkba6u1YZ6/lmwX3IBZ0I8FKLOgmhrQ/YNR9bOrbb1r3h781fz7pxT/38eUT02Z624//4wH4T/3KR7ls46R6+I4/fceB4+0P/+nDS7Wn9k3xqz/WZs82g1IaKTRCaKQIkNKgpI9SBiUVSqlMb0t8z2rOwFeMfMko0oRRyig21GPNKNZEkWEigVGsGSUQJYJhLBmlIXFaY9+hJk/tg9QYLLStNvYlBMrWfLRCuPoSmKjDZFMy3VLMTnmsn4FtG0dcMrdCbJb4rU9OcvjIJDdcqrh0i2TXlmW++lzC+cVJXrxTMj2hqQUDQhlilCBJJcIYkjRiuVfj/KLPDVfUedHuLvc9XmPDtKBRa3HDbs1PvmOR3/yU5rnTLVZ6mpWuYn7ZY91Uk+mJOtMTk0w0YuaaMdtviAj9BN9LUCpFChtMGOxJFceKC/MecaKIE0UUK0Zxdh9JRrFkFEmGkWQUCRugRoJRZBhFdr+OopQoyjR9bLLAEoaxYBhDPwP3cizpRQl6OOBFO5Z5349d4HVXnWmsLNc/rOVva+Pt/OT80Q+kczt/+Jsf4D/3/o8x0aip545deNeRo2f/5LHnT9RoTvOFhxW+J/ilH17hyi1dlEyRSltwK51tPkoafGXwPYXvGfxIEvjCHgRfMAoUUWyBHseGKEmtK5I4WwpJakhTTaqxeltTgDuXQp4E34fQE9RCQSOUNBuKyYZkelKwfiZh+8Y+reYKn7w/4u5nZlhZmODabYrtl/hcvnVIKlb44iMNmr7H3LSi1RjyzGF4/ojHNVsN/ZHiustjrt1lOHc2ZX45YDBs8Kabutz79ICDpxXNuiQMJrjmUs0vfd8idz034LN3rWOxY9i+PmW57TE1oZhs+rQaPs26oRZqwkATeimeslJLZq2VxmATVlqQaEmSCpJEECeSKBHEsWQUW+cligVRbIgiGMUpUayJHOIYxe5mwT3IwN2JJe0Y+qMYGfe4Yccyv/jDS7z5JkO7P0mvd7gma7U/9Wre/6a8mb86f/iD6YZdP/jNDXBfpHJlZeW7Dh09/XvP7j1em6p5dBIY0eJvHpBEI8W7XtPh3a/rMT2R0pUaT6aZzrZ62Pc8/Ngj9BRD3zLNyJdEgSCKhT04sSJOIIqldRCS0vZLUk2aWnchNZlTkrkluTujpJU9gScIA0ktlDTrgomGYaql2TAzYm66S2JW+Pi9kj/+/CzrazWu3SbYdonPjk2a7Zcs88kHDUtLNa7YqJiegFYj5vwxyYXlkGAnjGLB3KRkagoOHjUsdzTnFmpcvqPGa1/c5bZ7asy2IAwClJziml2CH37LBXx5gb+5b5rnT9fY0IlZP5Uw2VS06opGXVIPPcIAQh88zzpMUoAUDsixJ3aqIU0FSUoGdIhTQ5RAHKeWFGJNlN/HOrMdc1cmsyATK0l6saCTSLqxJhpGTIYdvvNNi7z71T1efwO0e00GUY1EB0Qrh2tB7P2hVw88Ify/wPLMNyfAf/+PP0Wa6u+78/7nf+3woZMT0zVFlBqkELSFz0i0+OIjigefq3F2eZH//Z19picSRmGNTr+GpwJ8z8f3fIIoJfI9gshKkyi2qXTLOMIyUcZKSQJxCmlqnQStbcCltcl7ODNwW4DbwFXgexYgtRAaNU2rnjDVSpibGrBueoX790X86R119h+dYsekz66NsGVjwJYNsGdbh37S4eG9E9SVz9y0YqoFU60R05MJQeAhhD25BqOApU7MSt/Q7iVcWA7YtrHFy664wB2P9Nl/eoJGGOOrACEm2bVZ8c9ev8CNey7wp3e0ePjZKRZ7HusnEqYaCY2apF5ThL4g9CW+b2MVpcjsQ4tyg+1h1ZoC6Emqs6tbZi0mmiS14E5iiBJTbrF1ZYaJJZV+LOgkgm4Cw2GCTgbM1jv8xHcs8X99d49GGNDuNhiOQqI4IIo94lTRWzg5ETT836pPXRccfu6Tf7zr6nd88wF8eaWNkvIHf/9Df/2+M6dPzU7UBUlq8FJQCSgh6AiPgWywMvL4tb/02Xt4mbe+sserr++yYV1Et1NnMAoJ/IQw8BlFHmFg7b0c4HEsiRJ72Y2TzNNOyaw/MuaWaEMJbpukzJgbPGUTJoFvqAWaei2hVUuYnhhxyboO59t9fvczPl98dIal5SaXzQm2rRdsXh+wZb1g56YhXrDCR+/2OHKyye4NkumWZLKZIuWI0/OG0JNIAcYIothj+/oOj5DS6SuWO4bzS3V2b6nxzle3+auvBBw7H+J7MUL4aNMkTiQv3rnM9u/u8MXH+3zkizM8dqzJ5mnBumZKs5ZSCwShLwh8G6t4Chs4S1HUZBjsSaYN1mlJLeBzkCeplXQW7BClttYlypNHiWCQQDeRdBMYRJq0P2LLui6vumGZt72yz5tv0niiwfJKjVFss6t2U8SxRxRLVrrnZue8y9+/50XvVMNB54O1+v+amvL/JQBfXm4TeP4//8KX7n7f0888t74e2HR3lBoLbmlQUuBLQU9KurJGO/L46Fdr3PV0lxuu6PDdr+/zlpe2mZ0KGQxDBqOA0PeJEt8yQRYoJYkiTiVJIolTQZJI0lSQalFqbS0oVInJM6I2WaSyZFHga8IgpR4mtOoj1k31GMQDvvKM4WNfneThZ6eYDnyu2Wy4ZEayYTZg05xky4aISzcv8/SxAZ+5d45J5TE3KZhoCiYaMe1+yucfrNEKrDukDQxGHm+9ZcTnHrI1Me2e5sKyx5b1Ld5+a4+H93XZezCgGSYoKSzIdYNhZLX+P3ttm92XXOCjd3V44PkpTizX2TghmKwZGoGm5mkCHzwlUJIsQZblFjKo60yqaV1e4ZIM6JYgIE4FcZoBOxUME0E/EfRSbMwTRTTrfd7+hiW+6/UdXrw7ZcO0z2DYpNMLMtb2GcU+cU5KsSJKbGB7/Oj+9TJ48H27r3q57vc6H2o0//5B/vcK8KXlFfr9HkLyvV+5657/+vkvfmW23V6hFki7oxObRFESPGE3X0IooSt9+r7iVCfkzEMNHnqmx19d2+Vdrx3wxluGzEwFRKOQUWLZIE484gzoSapI0ixhk5YA1yZjbl3WlOU2pJK2jsPzNIGfEgYx9TCiVR+QMuDLj0v+/M4pnj06iYhDdkwbLpkyrJtSzM0EbFwn2TQXs21jh5PzXX7/s02SUZ0tWwRTLY+JJkw0YoQf0Rk0mWoZhBAYA3EimQkViU7oxgHdfspyR3F6vs5Vl7b4kW9b4f1/EXJ8vomn4uzE8EiSGsNIsnE25MWXdbj20h7PHT/Nx75a547HpjjTrtMMFa0Amr4h8Ay+Ak/afS5EtbpOA0bbky7VgtRAkgrrn6eCKLVJokEqGKQwSAxJkqDjEbO1AW963QrveV2XV1wTM1n3ieImy+2QURwQJ17J2olXADuOJVFsJeZw1OaZJ766PknFf73sipuSC+fP/I9ms0mj+fc3P/HvFeD9/oBGo/m2Bx589Hc+/4UvT3Q7bWqBIk5MoXeltCwuRZYOTw2+FARKU08FfRXQTzwujGr8zUNN7n62z0u+1OP/+I4uV27rsH5KMdHwLDskPklSgjzNAa4l2kiMsZLAFAFllupXxgaxXkIYJPgqojOIme/E/MYnaxy9MM3je6cwOmC2Lli/zrBuUjA7oZid8tkwK9k4m7B5rs/s1DJffELz2PNTXLtFMN2StBqSiYamWY8Q/ogw9PCU/fvGQJpKBiOPwTAm0YLuQNPtGZY6PucWJ7h5T4+XXbXCR79Uo76k8GRsAWk8kjQgim2P57qpGjfu6nHjZT0eedUZjs9L/vSOKS6sNDi1GBIoSdMXBLkMkzbwLIg8lypYJk+MINEQa8EohWECkTaQJpDESDVi0/SAa7fb43HTlSkTdY8kadLuWmAnGbDtFdbLZKMD7kRmr0kSLeh3ujz52F2zQnq/c9me65dHo8Fn/j4x+fcG8H37D7J500b1Jx/+i8ue33dgot1uEwQeaWqKJI5N3giUMBm4wUsFvjIEiaGWChpKMFCCvhcySH0Wozp3PDbJ/c8PaIYj/rc3t9kym7Bj04Cbr+7iCdsiJoSVKzYraWuljXGYG4OQBiWsZ25IQCY8d1Ty6D6P2x5u8dyJFlHSoOUp5uqGmaZhumGsDz7hMTPpMTsl2DiTsGluwCVzy9z97IgP3LaeS6Y85iZgoqmYaApajYR6OOL+A4ph5OE3LaiMEUSJpOYprt894KFnpmzh0yBlpeOzsBJyfmGaH3nLeU4tLPLQk3P4EhAxGgoAjSJJb+Ax3aoxNdHkZbv7vOraPt/9mnn2ndR87uEaD++rc+BIk0R4jEaKfqxQRemDG3hmOQGjSbTBaI0vUiaDiBoxL7uhx85LhmxZF/PeN46oB5Jm3SeKGrS7QXYl9TLCUYXXbje5essKwpJEkBpJu93m6SfunViYP3fZa9/wLnXi2OF0245d/3AAvm/fXjaunw0efeyx7xci/bVue4l6zbdZtDFwS2n1uEqwEiE1eAn4UuBrQ5gaakrQSAUjDcPUZ5D69NMa3W7Kf/3oNCaJ2TA35KptQ2YnE9712gHb1kfEscj0tgSHuck/g9QIKfjEXXWePtxEeB7HzzQ4fb5Bra6YDAVTTcNETTNRg1ZdMNlQTLQU0y2P2SlYN5WwYXbI5vUdUrPCJ+6dYNBrcvkWw0RD0WpIWnVNq5bg+xFffKjGqC/x19tu0VyiNOuKN71kwD1PaHojSW+Q0ul7rHQ9zi02uHJni3e9osPjzzU4vtRCSQ3EmV72iVPFKLaJmd7Qo90LaNUbNOsjrtwy5KV7hpy80ObY2RU8P+WpIx5/9dUGQtnCNcbnDxoNaDCGOErZviHhPa8dsG4iZc92w4ZZSBOfUdQiSXyWOz5JrIhTL4uDLKBzgNuYKGPqigHgGAGJINGCVHucv7DM5Gzya08/+Xj/ks3b/3j/vr3Rniuu/IcB8NOnT7G4ML/71OnTv/vUk4/JMFCk2pBqk2UlDYk0GbghyVLwiRZ4idWJcWrwU6sBQ89QSw1JKoi0IUoFIy0ZpZJI+8Qa5nsTfPVpjSHl0w/bkQ0YnW15Fi+zyERekSiRSpHEHlJ7+J6kFcLOOUPT1zRCTSOERiho1iWtupVDky3J9ATMTibMTY/YNNclZZnf+Osa9z2znl2zMN3I2LshadUTGvWIZmNAvd4gVBIlMw2OlQNx7DMcCAajlO5I0RtqugNtW+aaAafOT/Lyq0b85LvP8+t/5XFiJUQIjTExOjXEiU8US4YjW8baGng0awGNeo1G2KAWxrTqES++PCLwY266POG9r+vjqSRLAmlbb++K8kzSaS0RQhL6CggYjjwWlz1bt5PmMU+2JbKMgbLCtRzcObDzxFKSBa3lc6v9k8zSffiRR2WcyN/t9vr3jkajZ/8+sPk/DfA7v/RpJluqfvTooXcc2H9I1EIPbUSWXDGk0m42Q2kTMFIZVAoqtdowScFLbe9jkkf0aRbV55G9FuVzLYi0JDGSVHvEOiTNbC/3VmQpBXhC2EylglrdUPMMNZUS+hB6UAsM9VBQDySNuqRR8yzAm4KplmZmImF2asT6mR6b1i/ygds0H7ljA1unFOtamommotVQNBvQqKe06jFnFzWHz4bUAntCQ17pJxhGHjs3ajauG9IZBgyGJmNxyUrXo1Wv0WpM8d7XXeDI2XP84Wc240kPgybVKYk2xInHKFIMIlsU1a9JGkOPeuhTD1PaXRtjBH5qE2Z+iidto4SUNp2fF7fZ0hVbwmlBLmjrrMpS27gmTSVaSxJdxjtJKpwAP3/s3Cciez0Ht00yxamwxzvb0lQQx/D4E0+JHTt779iydfvhv/yrvx68513vfGEB3qh7QXtl/me77fM/KxnJeiiJU5BCkoyxd6qzWu5UkGbyJNHgpdavTvPkgzbZc1O8Vj4uK+WslyuKQMnV3ECWybOBlSc1niSraQFfCXzPWN/YE9RCSS2Q1ENFvaZo1SWthmGymTLVSpiZGLFuus+2DYs8fGDER+/axHQtZENLM9EQFtx1SbOmadYSWo0RD++Hp/Y1uGzOZLq3TJsPRoqb9hgu3zbgkWen6I9se15v4GUg92nU6tRrU3znK5d46sAFHtq7EYxC69SWwyaGJDZFPclg5NEYGuo1RS3QhIFPGKSEnsbzUnzPZoeV0lkRm3W1ELa9JKeFMji3JcQ6d6R0br86VmwObG1BXD6nAHa+WQIbBzYFg8cp9AZ9eeLkmX/v+bWg2Wz+MhC9YAAfjfoyGg1+8ctf/Oi/Xl46GwS+7wSUwgI5B7c0docog8qSCqkyeDp7rG0Drc4uW2mRfcSycwZynWXi8mSFyVraHLk9BvAyoaNklrFUOEVbNvsXBopaqKiHgkZd0KobJhopk82EqdaI2ckBm+aWeWj/gF/8kw2cODXFpes0Uw2YqCuadUWzBs1aSr0WE/hD2kNbLOYrG3/kN3tZlsRJwEQ9pp9o+lmddX+Y0u1L2nVFoxtSC1vs2BjzS9/f5j98WPLg3g0YFNpo0lSTpAlRoq3tFikGoaQ+UtQCSRgYwkARehrft36/p/Jan+yqmskUIUy1QTdL7ZuMRExWy5JmgE91eW/JSGb3ogR49jjNpGeSk1h2dU6zq3aaGhKtCw/++InTQVhr/vQP/+A/83u9/r9rNht/53T+3xng3W6XKEp++anH7/+XF86drPmeQmibIhQZqFJpz1glBYnKgWzQ0oI7zcCt88daoLUp0si68GjBaGO7yLMSUHdjDOBl6W0GbpHXlFtJ5GWtaL4nCQM7AKgW2pEM9dDQrGlajZSJRsxkK2JmYsCmuRUe2tfnP/zxOvafmGH7jHVYWnVJsyEte9cNjVpKoxYTpxF/9qUWUil8aVCitAmthJMkqc8/e8Mytz8W0Y1C+hnAewNFt6dohx61ICT0J9izNeE//cAiv/DHggee3YA2klTbtHqc2EKzUaQZ1Wy5axgKar4gDGxmM/BMkbH1lLYyUZZlyQXAy5QnkJEINpdg3ZYskM8BnE0d0EVyjYzdKa64+dW5BLgp71N7ZU/TsnZISsXRo8dqd955979685teJ7rdzs+1Wn+3JNDfGeAXzh3BGP2yI4eerOs0QilZ7CQpQUpBKkFpsntBKgVpkR7OwU0RkGqHoe1jCsBb289krE1e7owZ+1xl72ZWZyIpi6myOnILcInvS1u/EQhqoZ150ghTmnUL7olmxNTEgLmpNg/v6/OLH5rhuePr2DItmG060qTm0azZ+pV6LaEeRvj+iNOL0/hKoKTObLkyyExTSZIoLpk2JElMJ65lnTKawTClO5TU+4pa4BP4NXxvkiu2JPynfz7Pv/0jeOj59aRaWoCnhjhJMybXjEJNLZIMA1VIMN8H38ucKyVtLkCSyRQQ2f0aGLdyhSwphCiSQzpLDuXZ4jR1Xtel5EwdYGtdHu8CB/lVPC1xEMUR9z/4WH3Hzh0vk/8TK078nQD+5KO3o9O48ezjXwx0vEzgW6mQZtkyqUsGT1MLdK0hVflzy9SpR/Elq8DOZYgpgG5yOZI/vshnkwInqWRPtBzcSsqsUSKXJ1DzIQw09ZqhHlr93KjHTDQippoD1k23eezgkF/44DTPHJ9j05RirqmZrAtaNUmjpmjUBfWaPTlsqj/iob2C3jCgpshOMntly5sQUi2IE49mTXHz1V0efm6CfmxlymCU0h8ouqEiDBSBH2T6eYort2p+5Ycu8DN/AA/sXU+sJXF2ebcFUVkpayAJA23Z2y/r6D2Vb2QypZRxMsvyrgXyPClkcoBngE8L54U1r7w6i6W0Q2JparL3XaBDqrXzOwTnLqzw5x/7m+A73v7mxl/99ef673rnP/lfD/DF+WPMrNs89dgDn/n9NB2+0lMpRtkvLY09mMUZK63m1s5lyzJ2eZZrJdZmbQfQugB22RTsjpOwl1ZbUCRkBu6syEgVAAeVVQz6HgQ+thMoyAqswpR6Ji9a9RGTrQHTrQ5PHhrxCx+c5qlj69k45THX0EzWoVkTNOuKRl3RKNg7pRYmtBpD7n4qYKVdY3q6TJPngNGZNo1TxfpZxete1OPuR7Xtoom0A3JJzZfUfA/fC/C8OlJqrtxqeN8PXeBn/sDwwP71xNojzioAbdmrZfIwlkV1YeBJPC8rwpIC5eX7huLz5SdhLlVEXpVGmRAa37Rzr7VzX1x5q+B2KztT53mqzdi/g1QndLuDV+7bf/SPvv973/WjBw8dW7n8sh3/awHe75xh1J//mX778Hfp+AJhEGT1HrmGpmRsR4dZnZ2/Xp7xufxICxlCwd6VQHKcuTOk5xm5QnvLvIKu1N15xaCnsPUZnsH3bWNxLdDUgpR6LaFRi2nWRrQaQ2Ym2zx+YMTP/sE6njyygfVTPusbKZMNk4E7Y++apB5a9q+FCY0wItEjulGIUBI/Z/BCg4vs4GV+cezTDIa2XCCqMZ2DfJjSDyyDh4G0NfFevgCt4Zodhvf/6Hl+6vc0D+zbQKw9RqkgSnXG4oJarAl9Q+Db3lUvizs8ZUuElZTZ/sm68vN7pzCrODHdWGcM3AUJOcTkgruIq0z52H0tr9XPT458uoE2guOnF2g8f/S77n3gicNRFP/b/6UM3mufoDGxZfuzD//BtcnwFI26yCyr1ZG11qYMQrTJOkryoh7jAFwUOyrV7g4TDlOUWUnjXjNz1naDyvxym3XoqCyY8rysMygrQsqrB2t+munmmHptxPREn8lml4f2JvzcB9bxxJENzE16zNVTJmuGVgbues3aiTm462FKLUiYaEbsPWa46/EmgZT4SmdBXOlR5JfvOFUk2uPVL4657NIeh0/UmWtQ9jmOUvrDjIU9hef5WSWm9a6v3g6/8sML/Ns/0Nz73BzDuG6TYYmhkdVwhz4W5F5+9dJFb6tUaXGFU1I4ABcOyFmlV0qQmyrAiwrF8sq71pXZZenVDJ7tH5PLG8W+w2f5/FcevfY//fwPb99/6NTxPZdt+fsHeDI8jgond7TP3/XflDn/Nk92qIV+FhzIkr0zn7QIPAp7yaDTXI6IVZe03B82hac95pKscksy5h4HtzBIlduCWc2LyljbMwSexvc1oa8Jg4RakFALIxq1ETOTfZa7fe55Fn7lzzfy9KF1rMvAPVU3tOqCZk0UXrl1XrRl78ACvB6OiNKU4aBGTdmTTArn0k+uWUUWaHpWy3sjRpFhEAsH4JogSAl8D9+XdqqA9AuAI+C6nYJf+dFl/utfJDywb5Yz7QmGTclUamglhlo2cSD0Teb9506KKdg7lyo5wIvPm31oF+eFQswOSn5VLcFdlZT26u6A3axm61LW5JawqVz9l5cGHD298raP3/Zg+tpXvOhfPXvo7LFrLrvk7xfg3ZVjKK/x0s7Sc+8YdZ6nFjSI05TE8bjH2Vu7r5lMb2dSxIJaZJe2PGFTlSIuwPNd7KrC/CDYcQ85e5fd+OVwIFsW63s6GzORFuAOgwzcMz3mlwe8788afObBORZ608xNSuZqGbhrVnc3ssCyHkoaockY3GrvWhgBEXc+GbAcB8yGVOqxEdUrVJra5oeJ0OO1N/R5aH9ENw6ZLDrWNcHI1qoHngW4p2xDtpA2QYOBK7ZKfv3/6PC5hwb88oc2cGphmsGUx1QgaCWaRgJhbEcvB8oONPLzQFOKIgjO791A3T0xhSh6RYrjA2MS0gW2Ez9pB/xuHmMc5Kkur3DWWhSkKO5/7CAbL9nwjtmp5p91uoNjf68MniYdpGpdvnLuK/+it/gkSimM0CDszkilIU2zlG6e+coZPMuA5YAutHYB6lyCmNKGGmdtV5bgDAWCIt2cuwAqB7gyeNIC2/Z22v7OwE8J/IRaEBMGMa36AM/rc/dTKX/0+Qluu289kZ5g/YRgXc3KEmsB5j65yjaRMbfL3jGeN+L+56foRx6XNPLPM87g+dXNlpLWfMXLrhyQaAvwQSxs13reuT7SNjj0stkwmb2XD7czCNZNCb7rNT1a4Rk+9PkB9zw/y7m4Tr8mmUgMTc9YkHtZHKJMFpeYDOT5PhRl7bi0s8XyfT2+omAhVfIRFYxrc7d7qKw9zxk9XSM4TZ2YLG/CiFO70Ndd9z/HLS/e/S++6223PrHS6R+cmvj6I+G+LsAHnaOMFv8S5c9s0sP9r5JcwPMbiDS1wBISpSWpEug0S8Y47F1KkpK9K3Ik19pkyYQKsB3rwbWvhBmTJnlWzlYM2tFuOqv5zsCtbC1G6McEQUzNj2g0hgRBnz+/w+NX/8d6Ds/P4Ic1NrYEM2HKRGhohtDMOuzroc121rKEkK1fSbMrgZUnC52UXhQQKEUgTRFg4nyV/MTOazeixKfuD9k4NWCl32IQi2zcmo0VfD/NbD6V2Z3KArwSuNrKx7e9osdNV83zK3865CNfnGMpadIPfZq+ZMKzNTihB4GiaIbw8qRPMYdGFFngPLfhkkpVrLhAp3IF1qYqNUttPrYV8kQUYE8KgNusqEZx5Fyb2+597lXz3eGmcwvtg8/tP8HVe7b9zwHcmBQ18e07hu2nPtBZeB6lZDYM0zKnymtMtETLKsCNqUoUo8v6hjx4LHYCwpEkYkya5OA2JZtk2TfpAlwalLSjJ0rmTjOQJwSelSRhMCL0Bxw7n/CHn2vyqXtnOXJ+momGz0wNpsOUVmiy1HsObpmBWxZJoVqmvcPAnjgTzRGfvN/j4PE6tWwCV9EuRonyYoyDsTo8Tjyu2A7felOXP/rCLL2Gx0Q2eySMsrhBaTxPZmPrcEDuOwfLXhW2rZP83Pf0uXbnKf7gthmOnJtkKanT9z2aStDIgB5IY0+czGUqrn75fs3tQ6w+LzOdZrVPnhNTXjpR+OarLUXjBpKmGo+VZRk2iVSA3AiU8rj/kYO85eVXf+Bdr7/+zReWul9XqnxNgKdphJQ+nfn7t/RXnt4VR22U8rJBPQapDVprVFZiWTK1zBp9heOSiALQOfiNy95GFCxQskJO26aiA3Ng2/t8lLIFt3VNcvZO8b3Edu54CWE4IvBGdNOI3/14wIc+t5HTi1NoVWdmUjETGCYDTSNj7kaRvpdZnUomTTLvvAB3YLOXozji4KmQXhQyHWYuTp50yl2JPAtrnJqU2GOi6bFzS4QKh3SjFoNAUI8NoxzgXpolapT1sWVeArxW8KqYm+zzI2/r845Xn+NDn+vwh5+YZWHQZODVqHmKhieoK0OYGMvmWZ+sJ8vyhjzLuYrJWUOujDssUI2lchniEJnL4jkJ5qBOM6wk2ePEgJCShcUOdz+0b9dEs7bl277lxceiKCYIfC52+5oAj4dnkd7EnFDex4crD/i+L5EitR9aCmQBYonW2raJaYE2ugB3wdg6Z24H2NmXKBlbXCRDaRw70BTArsgTmQ8LSi3AvRRPpQR+TC2ICPyI9jDi/qclf37HBJ+4d5Zh2iIIAmYDwVSgaQaGRmhoBCW4a6EkDCVhJk1sYihzJjKAB77NfB49a7jnsQZR7BM2zaoAM7+V6Wy776JY4fser7upy0e/3GP/qSaDmh3NMPINQQJ+rPEjjVLS+tZSIIUsh/tQ7s9USxItaYQeG6YG/NR39rly24iP3NHi0b2TzA+aDFWA73vUPEFdQpgPWMrtVWnHexQFa+5ovYzJx4uzXEbPCWrcEcufl6wtHDanqDdKTMnisbEgB5DK45Nfedr/9jfd9PELC+0XLSz35v/ODB7WWnLUee6lg/kvTAZeLxs/kF+CLJjTbIUznQ2w1A6bl3KkKkuKLQd2JlFcBq8U/tgeHcvkRUpZF+WeVncbPJVagKu0kCOeF9Puxdz3rOBPvjDBHY9PstRuIes1WnXFlG+YCDQN39AIDPWAjLUtc9dDSS1Q1AJBLSCr0NMZuDWhb/W38kYcOAWn2zWbWMn0bTVxUtbP2D5IC/JES6LIY8OE4PKtA545kdCPfUbZjO8gwoJP5ZN180SNLUt2b/nJk9uQcWrrw9/zugFvfMkyX3miy4e/OMGjeydY7DZoy4Be4BEoQSAFocT2cEq7Sp0S5UmqRFb2uwaDr6pfGWdyh9A0LnvbkyDVpWRJMoDnPaIJpbyRQtDvJ/z2n981+SPvecVLX3HjZV/gawwP+toa3BwLg3D4ezX5ZNOrDcCobCcKe3YaicoBXDT6lmBfDXBRdLhXAO7skAovVKSJwS3Qt7JEZ5pbo2RqB+LnboaMme8m3P2Yx+fva/GZeya50GkiajX8ls+EB5O+7eSp+2SyA+qByDaZlZxmujsQhDl75wD3EoIgoRZEGBNz5+Mhx8/WWTcj8KXOdKwoG30dtjOOhZqmisHIZ/sGwetu6POpByN6sc8gFtR8268aZJOlyquUKvxqhKzIFLvJslFBW7+9Ho54z2sGfMtNi3z63i6fu6/B3U+3uNBuMBABg8DD8xWesCM9fCnxhcmklkEhHGlYtQ/XIPOKC1YytygC0HSMsXNQp/l7ZIOaiuDMTiZLdcrDT+5rvvfbXvJ7T+47dSUw+FsDfH7ZMN/u/9Ok+8GpDZOnIAqJI1XsMLs25Rhr569V5EgV7JWDALZ3co2awEpA6QDbDui0kkRkAPe8lMCLqdVihqOU/afh2BnFx740yRceneDCchP8Gt6ET0NJWr6h5WnqvqHuQ8234K75diahLTOVziay900Gcl2APPBte9rhM5pnjobg+9ll3jgpelFBgRuE2XppQZLacc7X7Bxx1ZYe+043GNQEjUQQxoaRIrP2dMbeuZuSW5ClVil89iLpprLpAz7DyKdeH/F9bxrx1ptXuP2xHn/55QbHztTYd7pBtBKShB5Dz0MqO9VXAV52nzN5IV0og//VBFm6RjmoNSWoNZRgzgCtC0DnLYjZY/JSxRTilM7SkH17H2V+rvU1OfqiABd6XqTJ6Cc/d+czU91eg5ftSbhx9xBP2hHDOlbEsSqAXbC3kRiHwQ2ieM8UUsQFt3PKVxjBOJrPJjWsJNHZKg8pYWgnqSZpyrlF+NJXPQ6fqnPXw3VOL9c5fKYJYYhqeNQ8RdMzND1tXQTfDs6v+XZcmwVxvslsUxnAyTR3Bm4/JfQte9sTK+LoPOw91sCXVXuwkCiU9eCFo5A7KTrra0x8rto+4PL1fZ49ktBPfFqxYORBkNiZgMoBuJQCIWWFyWHcfhNFMJv3Ucapz8gPmKhH/LM3jHjFtR1OL3e485GAIydDbn+8wZnFGunAR0uPOFAIKe2VIuvKl2QZTyhky1ogrwSauFnqXOrmGlWPbRmojYFIQ6wRfopUCS+5esTLLh/S8h5c962v/ql/8c5Th96/bctla4ZvFwX4/+/3PkmaJHz57mVOnFnPzk0x11w64lUvHnLVzphNM5rLdsQoI0gjiUYW7olxAF9KkQzYDovnbF39ZMaJ2EvWLqSISvHDlDg1HDkpeOaI4ksPN3j2aMDzR+t0RiGjKAQ/QE34hErQUNDwNHXHBw69vE4jL5u1deFhJkuCQBEEMjsBTKm9/dRmFn2r82tBjNER55ckIxPieZJAGjzHZhsj8ALkqan2O0aJj8BjbiZCqiG92KfvCet0xGXBmKd0JQMpc5MaIB92hMBoWTK5MxjJT1UxfqI/Ctg4HbFtQ8yLLx0xiAb8b0fbPHss4EsP1XjmaI0jJ2rEiYJQYaQCIUmlkw0qkhRraJWKOC+lhr3Xzv3Ypi2oPZGya0fM5pmEK3ZGvPrGEdfuTNh+ScqZC8eas95t3yWN//6/FYP/9p/cztmFjvrEV58RB05NE6cRTx2JeeZwg9sfipn0E7Ztibnmiog33DTitddHYDS+B/WmyXS2BC1IYgv4PJCsMLh7yhsLaLL5Jb5nQGiENMSRoT+0jH7slOQv7gjpx4onn69x6GTIQi9glAbgBaB81IQikIK6goYy1BR2nJnKCo+UZe3AFzbp4YLblwSZLAkDCAMy18SmzH1PE/hJlhGNqdciLiynfOmBFu1uyPSkwMu8+LzoS1yM2bQTEGrJaKRYN6t4481Dbn90wIl2k4EvrUzxwE8Mfpx71pnHLlNrF+LOOpHF39DGq5RMpKkkSBWpp0h8O/Yhjn1rpfoxzSDmFdckvOzKEW9/1ZADJyVP7fUZRIqPfKnB0XM+CEl/4JFGKi/fxHg5wMcsIzd9WwE4YDQiNQhtMBmw680U39cIo3ntDSPecNOQq/fEbN+SMOkL1rXAaEWc1Ng255NEh4UOblWLJz+VzG59+zfO4BtnJ343HkTXxV4IngdphNYJ832f+TTl6JLmgWdTPv6lhLmZBKMNN+yOeM/rh0Wv3dyk5vprIpo1ezAxosiBrT7mohjO0+4LnnraY7EjqdckD+/1+ey9NYaxYhgrzp4L0MIjNj5a+OB5iNDDk5JACWrSUMuAHSpDqIytAfcyz9crmTvI+zILcKusR1MU7B34miDIC7TSgr2DIEapiK8+ofjUgy1U4Fm7raK/L87guReeprnjoRgOfd56y4DP3N/hI3dO0ktqNDMd7uc6PM6TMqboFhJCFgDLDDVH6zsA19loB88yue8pEs/DS1ILdJWilB2kP11LuGVPws17YowY8a7X9BnGdpzb39wb8sjegHooWOgonno2oNOXmUoSXFSUFytP2NbA66+PWTeV2qaHVPOe1w+5/vIYo2FuWjMzBQoBQqFTxXBgKzDT1CNKFIlOrmvMTf8u8CPfEIMvLHWYnW5N/Off+cyeJI6VJwUJvmVkmY2GNSlaa0Y65Xxbc37FDo05cKLBZ79qz0STGianNS+9LqJVt3XAa6Yn3VM9cx1WeopHnwnotBXSk3YmivEsMwkPOxfYA+khpcSXwoJZGkKpCaQFQqAgUOWMPgtyUTY8eLYRIG88dsFtGT4rq/VzBk+dLSH0YoyJOL0QEI1qhJOSIEt7q6wqr5LFFJTk5VinRXe6VkSxz3RLsXVdRCCGDJKQQSKoe3YIZl5Dkie0lHTLW2Xxtwor1wi01mX2VOus+aSURkmSZnkDlc1lT4iTFBXbXIKnUqRM2LJOZ1cMzZXbhkRmgPQ07bbg0Wc8Vvp2BuW4IF9lIWTFWM2a5mXXxUxOa0xir+x1ZfedlbkeOpFEhfRVpDrbspksqUmUTvt71m3/pxNJ1O54QXWu4SqAnzyzwPn55fc/+dzR13Q6fRqeYqAhEV4mNTwbAMgxzYQhMZp2fglSms6K4exXm85XXAvgrn7LDo4Q6HzJBbKaU6HKIEfKzMrKQZ2lnSXZwq25b+zce1knvSJbeo8C3LatSxFk4A48ihJTy+AZi3uaIMuO+n5MGMacXND86e1N8AI7Y1E6CZ4K+KpElrNrPiTUgs0euCj2ee8bB3z67gHPn2/RS30aiV2U1lYBmrITR+U5ATfYy0sXcykknQKvfNNFLYznKfzUzkvxM6ArWSbNbN149ljobHBQiicMwqSsa2j+ycu1LeHIlk5B5OtnrHHMixojAVqRxh75PJYklsRGZr2fThxnZGloZCendYf69NuHXtPsnni/McmqhX9WAfwDH/kSUopg35GzCAE+BqQgNtg/bMAYlVWQ6VJTlXuzfKwMqe+Ae0185+yWA7wavAgpixY0JcAXNq0cClst6Ev73JNkNRVZ93heSOThzEEhW5mt7KovAS4L2RIGpmhpCwLtDM5J8DP2DrwYKSOOnxPMd2oIzyOUVOSJdL+Wc7hd6VABXuZ0RInP7MSI7RsH7Ds3YpB6DFMIU4GfGvwk0+EJhbNUptBVpVMhj+2s05V3VQlHGmm8VJMqifLy5ctVVqxml5VRstyE1KgM5CL/29gpWUKawvXKgZ47YGsBvEzulXFZYStT9fQLh66wpO1zgHh4koVTnw7WUgirAH73U8cQAs6uDABh3QBh8MmGtpB7lwKNKm2gomTSBfLXkyVkXTlOYb0QSMoUsZ1KBb4w+CIDbSYB8sfFaxnZl6WgFA22gRIW7BVwS3sf5EDPg88M3Hn3j6cLieJ7Vp8GQUxCzOfur3N+vo4/qQjcGg7XQWFMkbqp66K8uEz6DEd2gu1bbu1x/9NDOkmNvudRTzRRlk5XsiyIygvOhNCUnUN5oJlXbebWYTZTxUCq7N/0tCBRAi+V2Sp2tpYnyYBeJtN0kWCTUjuJt+yxdMGd2bzFWjEXOf5OoR2FCZG/tvbmlnwIofHkCl76zJpXiwrA/+DPvsT0RP3lv/Hnd90UJyvFAcs+B77Qma9ti2ZKg7408/Oz7+tNaikESZ4sEKDye2HwoLDaVJYytvNNSo2rcmDnAz0zeeICu5iDorD9iGsBPA84c93t5bLEZHq7Wkse+DGBH3GurXn8UB28AC+TJ55ToJRn+8QYwu3Bc6ruihpoWXjicexzw2UjZqcGtJcb9BNFQ4Gf2O+iUjtAScUuwLEgL/6QHKvUFFnfZFYYpzSpFvhakCpJqjSpEiQZyN3itbwcQuYgd0Cdl0wIdAZyspLmPBNdJu0qxRiV+hWHzZ0TcxXQcSxmk08qSBGycZM39baXz594231z275tbYDHcUSna/7JpGeuD3VMGHiVsyJn6opRnx+kIrCxP6vXOJ9EZp+4ZlJ+ludZsRIcpmDw8RJOL6+NyGrA81JP21ycd6pYWaKK7pUS2HnzrWXvTHN7FHo7twQtY5fg9ovqxBhBzG33htz/bAsZegRS2PnbRQWhO5/FraN29mWeBS5YXBZB1GDoc/PVA771FV3+8LYWURrSSyW11DBKyK5cbtWfzuScHjuhLsbkoD2Z9UKKAtypkiilLaNLmY2W0E4pslsDZEqQV7LNOZPnF2lHporVZO6O3CtrWFzZ4jC8OzUYG1jHcUwswusnGv1/Ykxy35oMfvDIKWammm/84499+XvOn5+nGQikGtdOVQ2Zn23aSUe6f9xQOV+zD+QweAbuHADSAYWkrHlwRxvkzG2XIMmfkzE4RRtWhcWzbhhfVcFtxymMMXfWsxlk7W2+lzccJM4WExHzl3dOkJoQVWQv3QCz7GvMnY2KBmesXU9LOx0qzYNND4HPe17b588+N2JFxwzSGoNU4CcULC6lQSaiKDqzduH49VNSWpPCAbkg9bLRDSoDuWdQ2soVO2bPVjDa7LEsSpNLi9Kt7izLmIumlALopVRZDfAKDTr1ScJ53+30Kn9D3vARdxcJWt3v2bD9zXf12idvb05urQJ8uZ9gVHzZsQuDXacXusw0g0pZpFsdVp5pplo1xte/CeEwuSNPCqCPlWcWWnxMc+agd2d7KCVKLZ5V3FWG3WTA9pQonZTCDrQd97Yx2WTMXQaYnsPeoR/x+CHJwTM1jPJRUhJIjTdep+EI8HEXJd+KTictHL/agjxOfHZtirnq0h4PHqgTq4BBIqhJ8FODl2SLCeSz15NMhyOtXKj8SeGwuHCkkdNgkM2E9JQuZkiqTPqV4M5rgUxWJpAzOcXVQzjgRuQTs9Zm77VubuFdhdHHH5PjRqLkIqG/sEvJ/mWowe35+wXAFy4sEQ0GJMMBNc+uujBeFjnOzqsA/zU/fvkT7u8V40B3wK2Kmu/Sdisli7Dd86IEtw0yRdEt7hXglhWAu8N/bLc9BbCLbGXB3CmBZxM7tisoxhDzV3c2WFysI0LP+u7uSTheg1IejYpFmDffunXchTet7Ypk62Yk735dl8cPTTBKa/RVQD21WjwvZ83XPypKWdGZJ+5GQ042Of+b2bxHdyqV3SRK51ckUzyWxbLqmQaX+XpHuTSRZXPEOIOPNa2U6b61rePVDRQuwMudKbASTWuP0SBm0FtEJ2VxYQHwP/rTT6Ok5PzCCjPNzLD/WgCvBAhVEF/s5l4RxFr3LqBdFq+MFysZW7oMroTD4rlckSivCvDAywYA+fnSgVmG0zP4RSpeZ4/TyuYp27nz/HH4+B0tRjJASZVlL6sn4ngGc9Vl2dmPVR2eafFUkaQeYerx7jcM+ZMv9Hn6SJ1Y+fSlJEh15h4JZLZMTDF+TYrCybA3nf2t6rpFLpOnGrzCQrSjrVVWEqBSUw7rLOayiOKETsb0uD2ebrEcDpPnuPr61/uibqn43/jzDE8pGBqcOX2U8xf+KrOqHYAfPXaaHds3NX76P/zuzgsXFqj59ou4jQj5yIPqWXRxaI8fUCHGH6/W3heXKKIAzvg4ZOkwdh5k5lObPC9f5DXT3moM3Hn63s8bk7WdGVK0iOU9nUm2xSg/4uBpj24UgPIyeWLGymPHT9zqDqkONBrzwrNunDLx49H0BXs2D3n6YESqQwY6oJbamm0v0+BKmGyxL+G4F5o8yCyZ3PWVLRa8YrCpfS0fmOppsg4i256YNyTn07XSvLu/MADK4LIIPMeOd46WVQ0TFZdpNbCqTov7fh4HCmSqmWzO7bz+1p9otFd+rD85tckC/PjJsywsrbxh6+Z1P/PIY89Q82XxS/PFU8clSX6g3KvMxQLK4jVRfU9g8zkuEEpgl32MymFFVRmqmYOcskZaOaAuHmdJHkXmhVtwWwCXQ4F8V5647K2yvs4gYqmr+e2/brE4qCFC38oTaSpXlXJwztcRbUXNkchyZi6DW0clSTwmGh4/8c4uX3l8gsVRQCQ9BlISZD2U5ciHjMHdenqhizJag87ArTHIMWdFZAxuiiA9B7uSImNwK4nSwkWhkCmlDi/bCUuZkgeeJQdX9s3YVe7iAM9xWM7HKexpLTFRzLpw7mfmz+2/L477n4aMwR978nlqYcCRI8cRpAS+wujSp3Xtvwq4v95t7ABXBzuOsTZlWtvOyRuXKNXBNAWws/r0YkKTA2pPSrxMkngFwHPNrYug0vd0AW7fy+svquztq5ggiPjYnT7PHa6D9JFSEualsY61WawRn33Ji1YTUrJ52V1egjzRMlvkyeeaXX3e9ooOf/KFGtoLGciAUIoi6aOkIHYCunEmFy6Tj2UKC6miQBl7VdBGWHDnU8KyYarlWIlyFk05mdb2cQpZlSeFs1LBQPn8G7mZsQfjDevGQBzHLC6cBDyS1C4M4QG0GgG1Wkiz4VMLrHdseypNkZRYlaC8WHzgAttxS+zLeWG+WTVQpuIZF4GlKNm8YMivB3BZAlw5NdReVpfiU0gRX5Vuie8MByo1t2Vv37NTq5bbmr/5aouFdgi1zD0RTjB2EYlCXiOy6iCtYdu5UwnS3E3xmJ5QfNtr+nzm/iGLvZBIeQxSmdmTInNvRNmMLccTK5a985d0weZ5v6PAy50VlT3OhqhqaUdf5/vdBbnIVs4rpGQmT+zV2dXjYkyuiCrAhUGYi6PdiAx0rmPnxBJaC0aRJooDEl0jSe3v8o4cOczs7PSOBx589CcfXL5AvebZfyTKnT/eEHwx9i4w77gHhrGD7QC9uom1JUqeOKkAuzr72+1wscPdqYI7X9kgZ27lMPcqBs/HTZQjJzxlM5dHjwkOHK+hCRHSK5pzy+pBN34QjqtRfnk3j1AyuXDkiSicjKKgKPXAeFyxPWLXJUMW99UxaWBZPLUyxXNcnJI93UKvvE5IOgDJ2NyUPrmW5ZwSN7ZR2cx3nc19LxJasiSjAtxaZLNUck0uxqSKGMODKZ6Mu6mlbMldFCehOHblS1Kfk6cWqE9d/ZOXX3HLk0eOHD7m9QcJqj3c2O0nbzxzdgHfD0hTe8nRxs78rkgUc3HiLoA+pqnGZ2nkgHZT2ZXXnF7G0pkQTrBZAtoyONkoYNcHd7dsSWvlgtsBebZevZ+VhubsrbLnnhejVMznHmxxcKEOQSlPfMe6rJywrB4XsYqVCvZ0A848o1nV4lHkcem6iLfc3OeR5xugfZLUanE/zbK7aVUqlczpBksZyI1xJIojV2T2WGZXFZlvIlvUwBTjllOVLXYgRKnFM2lUnuTlSYfD5IjC5cYdgb1mr8T4lQ9HojggN0ii4SK1IHmjEqONgZce8+JEk2QD06PYXsJV9iVFAe7yN39d6e0GkhmaL2oP5juBqtYuZYooykDHgV2wuRJOE64D7mw+YblsB6uB7ZUDgooRb57OQJ5YeaJi6o2IB/crPv3VJoNhAA0PTwp8UZUm45/f/c5rApzqASpXjXMSPhnI48RjsuXx9lcP+cL9fR7eH2CaPoM0JBAUJ5oq/n6pg51raQFyN1lig8/sBFOWzVNp9bh2WDsP6nUWXEotHP0tnEC3GkOVuruMC+xrYgzoq6BUBbhDDO4ktJwggGJmjZfJT0+nCWkaZ8Gl/ZD5PxIFoKv5f9ctcS8j4wxesPUqgI9LlOpE0zK4FAVoinl5ylm9QYmsNqUEdwnyvGzW4HnlCGUvW4TJU1Wg+wVb200pG2AGQUQcpXzhgQbPn2iA7yOkykCVzQ1xgkshqwd13DUqiCJnzby2x8lk5qWguRbP7cIo8rhyW8Kbbu3x1LE6oyQglT4DrQhSxj5L7oUzxuD23ox9FlR+smm0Etk4EDBSYJS9kud6vLiiSpDamWWoy6uGHAf4eFzCGPD/NplON5WfXwUzVk8TySjWRFHMKErxvnj7F/E8xfJyh2YjAMoBiFDOf17zVLoIc5cgXz1+dy3mroI6Z2w3wCxXICiliWMVFoydA7ycnFpIlIy5LWObgqm94r587GfBpadiwiDi2eOC2+9v0B8E0PSRIq8cxLEH18hiOt/T5aS8FiWP1quD5McSPk4BVhT7tFoRb7plxGfuHvLUkRC8gKGWBJkWV9ousOtKA5FSyAPSMW9XlYTmKUrpIi2b51eVPMjPZWu+DpOSAqFdNyU75rpk9vEcxyqAj4G+srfGEL862Vi1OuPE58knn2Lv3iNoneBFg2VSJdFJhO/ZtQ6RJmNv8Y0VmKzF3Dnoiw8uKmfwmiwuHbC7mrsAudXbbjZTqazCMKsotO1c2WPPnQ8+Bu5s8/MptFmBv6cSu3kxvh+TmJTb7qtzz7N1qHkgbUOz75TwVkpj3c19chEmqs5DF05TuXVUUi0rQB8NfV51TZ+3vLzPc8drJImPEYqB8PBTis8k0pLFy4+wNpO7Q+yVypnbsrl9LpBaFDq88PtzRs+vthmDF0M7x8BdCTgrIC9dlbVw9PUgWJYeQJJKLsx3SfUAIQzeucUYISRJnJBqG81KhLVl/hY34fxvnLHLx/aJdAHutHW5KwtUgF2RKm6a3tnUGLiVs3nlIqg5oH0H1LlzYh0Te69UTODHPHlM8vE7W0AA0kcIVXQRqWwhVTnGTvn3yWElin3iCDrH7iqZ29HgRtgVMVQ2+qFYJ97DGI/3vHbAlx4Y8uhhO0kg1op+KrKCrwx0aQ4cpw6khEXGfsayuAP0/F2VgV7LbD2fXA7k2ltmbC7sfXEMtTOwUzonfyUBVkqScn9VWfsbkSv5Z833p6cMG2ZtCYY24MVZBVqS2MU4lbJ/VY7/+jX+2lpRb8ncwjlDs9dwpqyO6e5SqogsWVBaTznAizl5Lsiz1rRysSm7skM5AL8Ed4W1nfu8sTaXKkol+H5CnCbc9XCdZw7VwfdB2uAyEMaZHOsGVmJVYCXW2IGlTZcfGOG4GlS1eNbKplXmqKQeo8jn6l1DXvVSy+KD1LL4SAQMNXipKAO/NLcLLaBKiWI/gFtT5FqXSoJRBmkEymCzn0YgjMAIkEaUUsUJKkv2zo6rdk98Z677GnkQu5fGtPjX0+VjJ4PKVrH2PLsvvZwhdVpaNeUfdPTjGKNXHBLnw+agLrJp+XvOFyvsqzHHpLpGzFj9iaBYe6dYvThvvq00PJRLlyg1Bm5nKH7hnqgU5TkAzyRK4MUcPCv48BdajGIfGn4mTyg6nZS7SnBx4pb7rqJX1qAdF+iuTHEXB9BmLS3u0Qwl3/umPrfd02T/aXvypVrRT5WtMkyz5A/C6u80G8vhsHfBfo5Ugcwazk44mWl0qQ1G2mNkpLAA106slDO5dmOpNa5sDr5cj94lwdVYWg3qVdrdKbfO9bjRoH7rN359Q+B7/+XosRNXFM6Fy6L5B8lGhFVkgxjTyc57SjpuhxRZDUl1U/mlT4qsDFNk8/AcV2Rsy0cmuB53ce+Vuts6KFVwu2v1lMVU2eoPXlw0M/heRCoj/uSzDf7s9ikIQ1A1lPJoKENdmWwcBUWDs++0xpWZVDcRJSknw1IJUMtYorQd85NWSLLG37IXUkmDMJqtGyNOL0geeyYgEXbygBYKIWwp7VpxT5URyxhLuM+NI2rMWD1SdjqYMYlVSC3KRMyam/tvHDepGNLK2P2qOKUkB/c+J2Mh7Oe99LLrN+65+tYve0ePnZhqt7tvjmPbolYuQrQ6GKjsmjU1k6j8fMHyzuPq764+Ly51LmtX6sBNRXvLAgylJFGO9lbFSg/OQlTKjEmSvFIwZ+8Y34s5cEby0a80sPNXLHsXnfv53xdUxgtL53u7gaZwnzgHqAIO7daGlHMFbeCZZTWNRKeKVGVaPPX4ztf1+dRdDfae8kFGGCEZpj4eWb1Ivq/TDJ5pnvjJoepIp7w0AzsbK/9sMgOYNCCNlS257pbG/g2jM39cZwFq5epcZfM1pUnlRHRYeo0MZ/nvnfoW5x9Ho5h+v/fmhQunprxOf8RgGIExpf2WsXfF4qpcFsQar5VnUSFJCsZwo+kxWeLqWFl97ALcdpHk+tt5nAM5r3bLNbgDbjuRVWf31g5USqNyv1slKJmgMnmSqoTP3tdk78FSe0shrfdddNCw5gEUjD9ffYBM5XG1AbniiTsTqTwtbG2KLFP4Uexx5WUj3vryHoc/GhKlCoRHKjwGQuBlGWmZkw+5o+J6E6YMgQtrWKBMWXBkpP2MymVTYcoUvwAtLfB1LlOcq78LdhfIq8BeAfbY/ZhcqdjQ2e8ywuDl8YaJwIzwbCNA2f0yvozcWmwtnL9aec392coVYPwLrk4ErN3cUGXt/HnO2jnYc+YugK5cJi91t8qDyHyJE6nxZDk0X6kU3485clbx3z85wVD65BO0yq757Ari1kC7erKysy5+c0Zek68yl9dWlCl7V4OLSn1Kqj2S1CdME378HT3++q4Gh894oGLQHrHwGQiBSktHQ7rB5hjIc2/eAJ7bUI5AGpueN5iMtXNPXFfY3GR/R0uBMOXVY7WZkAHfAXAB9lW4GlcEq9+3J5H9/cZYgyTN9p1XL1YPk/i+XB1kfh0gl7GUE0xmP1D+LudxVuW2FgO6wBZjrJ0nUqrg1qVEkVUG9yr+dgbmit/tbNKyuO9FdCLNH35mgtMXQlBeZg3KTJ6Yiu9dPHb2WZWlqomuNYGOq0nzxgO3RzMPmsox1UUzhFSkicfmuRE/9LYuv/LhgHZsAwJjJCOtrG2Y5p/DQCooFXYJ8vL/9h2VnYXZ/KbyXpaOj5SmZHDjHLvMMjTCBR9rgj3Hks4x5WKoQphV3lhL2iAyaZdKBiNJMJJ45eJKnl1BzUnEr84uVetKXN+7+HDFY6fGJP89cjUYxpk7B3bJ2uWU1oK9s4L7EtAOk3s6Y3RdSBMrR7QjVXLGTop7T8V4Ycwnbgv5wF9NMNK+lSdCFfKkaCoes8QquruQZC6s14Z4tYDNyWgWoM9T9naxrzy7WaTwtR1EWfMSfuRdPQ4cD/jQZ60WB0UqJENtA06ZUjB4WYCVH6wyde/alRbUpWQxJmNzURaKWdKxpa6mkvixkqGoS8/woF2Sq2BGVPFzMda+GOidXRxF0B8agqHBy6erBr60FpBbkzv2B0v+roK8+IBjZ1TVClpdm7C6MMeMSRTjBJnZEt3ukoHKdR20I1VyMDtMLsvqwEJ3F/d21uDSMvz1Vxosj3JwW4D70mpvT1TlSeWqk9tlaxwQd+e7WjsHee4EVKr6xpde1GN14lKitEJrjyT1mAxS3vH6Pp+6r8FiV4GMQStirB4fry6snnIXZ3KbByqTQnl9Sh5smozFC0BnPrk2jDG2PZ4IW8QnyKQMlCfcGliqyBTGno+piPyTR4khigxRbPDyxX9sE6l0y3DWBLML8/EzSY6DXq4G+6qAzG17KgDjjIiQpqK9SyttdVCZD6cpwZ1WAsw8yMzXufEc9vYbCbd9tcbDz9TRjva2TQ25PKnWmxStWQ57u56/a4WvTeIZexY2WClRxpshjBt0GokypS+epD6eTnjZNRHf+pI+f/q5AFQEQmKEYKQ9lBB2CZI80BQlqMflSm4NGiOK5nNjTFFlakwWeFICXhtTZe5s6pRxMKBzEsvZ2uTvlZbmRZl7LXk89rggEVNWnnqpzscXZM6A81vH/+1av9i9TIzLlHFgFyeBNKVUGWNsIcbYW1SBXboo2XNl8LIRY1Jmjok0ma52JEnumEhHokjrnoR+zOETkg/f1uJcN7DrXUs76F0JyhUbxuKFVbrb9Z3XYO9VB4KSvave8NhSi/maR5Wue7t+jr23y59saKZ837f2uO+ZkMPnJYgYUGgkQyGdRaTALaMVlbPQLbDL/l9kM7Pj4LK5sI9zMOeyJb8S2/fy2e8i09vZ4yI5Uz7mImwO+WdeC9hj5SGU1aZemtrJRkLY5MJax6NyNlUVTPWscx67gEbgXCKruju/dJUJJVNq75y5VQ74MZAXM7LHH6eF9s5Z3MvHAasEJVO8zBYMgphRqvn9j01wz+N129smPau9pbRdO6Kcv1J81vzK4p7MazB5ZV+NgbuawSxdi3KNd7d81i2jte1mOndUUk0iPVTi8aoXR/zwezr84u8HjBJpM1BakmSuitTC+WwW5JURDsa2pOF8PvtcOLFBZikbMDJrjJGiOAGKoLM46U2lXkVk7O0GlKs88XHiHCOMylXR5N8jC25NGcN5Vn8LgsBm4dZimfFLbFV7u2fO6qjWnrkXsQQrg33WYG9n/Xm5ljyRpuj2tstma0eiOGN/c92dzbgugkuZ4AcJdz7q86l7GowiH+peob0L9i4CWyrbWt6+ewAEecC5Nn27hU1FW2AF3GBUXmVYrRVPtURqK1VyoCeJR72R8I5XDbjjngFfelRZ2xAJQhILjwGOlMy9cUeu2NVmqprcbk5disw+p7SrL+SgMnmjjCiBXnrUAl0sP5gFntLB0hh+SllsnHyKa4GMM0bO+nYkdBQbosTg1WsQ1aARWgZ3gx7Gf6F7Io3JkVUgz1ihaAJgbRYXrt52vWXpOBa5/i3WU7fPC+1dTEItge2pMaCrEtxeBu7Aj1npGW67r8H+szUrTYQtiRW59hY4E6TMKnAXJ2vx/YUD9K+hT1zyMaKw5MZT2AW4Vw0HKmtUpFRInSK1Rzzy2L0x5ltf0ePhvQHtKEu/aqvHIxT5OhCSzBuvlNGWNGawyZ3ihJQ2QlNZS1vJ5rlUyRI+IqshL4AuiuOuca7qpmT4caCPxy9CfAP7EVsUFsUJg1HKcJTi1QJDFBrqoZ0Hm+Y1yWP/cPysqZ5llHoKHGZzL992R+Sgz4uUKuwt8qCyBHYJ7twHL4NLWQxmNxXGrgSUeSLHdVGk7ZTXpPyPz9X5wCdbGOFZ37vC3pTaW67xuZ3vV5VwVbfpYuxdqeRjXH/nTL66la1c6UCjU4mW1hdXUhOnPlJpfuTtfQ6d8fnApzzipAS5RjASEqXzQRK5VnBAXhz8DIXYi0ABBZFPW6AEurBAlvk/E7lUKUdM5FahycBuHHCXV0En8BXCYfFyf44TNyLfdwatYTjSDEcpw0jjhV6aLY1ntZTQ9lKjszSTqZ7UuXm0KuBcE9hUs3wVBneDSue13OPOmb2ciZd532OOiczBrcbkydia9Spbe8Zq8Bg/iDl0TvKpu5r0ej7U1Wr2Lmq+nauLKBM8FUk29rjQhN8QgzugL7bqwHet83oPB+iyXNJDS6vFpfSI45RWM+Htr+7zhXvrHDqbCVI7oJpUCAb2WmM/o3ZQkoHdFKDO3BKy5E9xwcmdlDx1b9lbZWAt5UkV6Lmkk6LEUTU55pBE9vOVgrA1dmi+0IjOAB4lhlGkGY40nqZGakJAFMFE7mEaY6pXrbEzaK3AQFzkQ8tcc4lxBjQVeSKK2Xele1KAO2du4Q5mz50TXVluQzqyRMrMMcmY3PMSRrHmjoeafOWJuh0OLn0L8DH2zou8lBBUgmHcIGqMyb+BS+oYoVeB7mxaZ9nDYvVomR3IjMF1qcdTIVGpRAtFPPJ4/fURr3/ZgJOf9xlpq8OzSigSPIYCpHaWrRKiMLBzu1gV0ModlaxWXFAA3whRkr2xx9SILPCsAL3MqOpCtpazcmzw6WRd8/2YSZniQjNGELlUMgbSzDBp1AMmJ2p4M3NbVkbR6Au+H3x7mqYoCUJnZ+ZqWVYB+apgctWZaNZm7wLMOJevHPQOYxfAzoFelo1WnZOq/lZF+j11HidIaTt1ZJBw96MBv/rHk6TGK50TqRBC2nWARJmWrzK46/iszd7fQBKzRLZ7kHBliqnIFU0+9SorxhKlo1Jocmm9caE9kkQTBCk/+/0d9p/yuPsRiQ5EBln7BWKtsAvViPIDFUhdQ5MXXnh2tc0/bxZQ5jpcZCeAphwlYVw8UALZCBc3opAjJXE6MuUi+zKXJ5YQDGEQMD018YVdO7atqFe8ZHOv15k/LAU/nCZpgd41i9Mr1X5mzMN2Kv/yYEytLphyi6TK1HtuB5apeDVeHegElEVB1UXA7UoVr5LQsb2Wp5YEv/rhSe57omkX5ZFBVhLr40lBXUIoyRa5MqtrtytbVoFZDMmpDiPKa96lGmuYdvZb+Vw4J71ZvV9zMnDmAIpxqee+Z2DdbELoGR5+OmBl4NQWZGFmPkW8rDik0L5i1dn5jVyWRDV+q7hFzqrWpvzZVeMBTfXnKqaHU0ZQJsicpm1t8P2Qs+fmv++Jp57b75U1tZYtS5W99hlzMUmSv+YytZuiFVDMrCukiXBdFHdZjKo0kWto7nyFgTU35QaWWSls9jgNUj78mUk+/dUmpqZAKItO4SGkrPRblv2NX6Nj3mWftbJjrH7ZUOXGcUCUB7LqrLgdPjqbH2gy5jZGlzUqQiK1IhUecpDyjtcMeP6Iz/s/6BGFiXPZFRjtMyLrrsq1aWpNbINxQGklgyHLbmqTY7EMNnNGxrK5tQfLC0J+/I3I3SbnCp/as0yavNzV+ZjGDToNa93yE0RnILezzw2eq6PdK9V4kuJijkmZmh4fh+yC3IxJFNc5MYyP4K2APfe7RQZwR3tXGFymjpPigjtFOrUnX3ok5I8/32SYZlPwRW4NZllLYSrae83UvAv08asc1fuvx34mC+5y73lVRhOzqoTWSCezKR1nRSh7YGVWnCU1qfYIfc33v6XHA08FfOkJaxfm3jhSoI3HSNt2tCIAG7cOM6QWUkoIFLk0cUCeNz04mjv/mbzK0BbdmQpJGOz7xpUxue7O96VxyHRVYqbK+Pl+9GphbIU+Kf0BpGn1YJV/IGd6F9gX0d3jIM9T82s5JznAXXvQBbcoV/ZSq3S4rnrg4+wt0zLA9GL6I/jlP5rkyOkQ45WrJVe0dy6RKsAeAzRrgLnYz6K607+GIHdtQpeF8gNUFl+5enx1bYqWWcWhdFlcIVKNEB4y0ly6Oebf/UCbB346pDvMvoyWxedK8RhmsqEo7tYlyI0EdAZqQ+GwqCygNLJ0M4zIdbhxkjxOziD/mQqGRHkCwCrSLGRToRZKPOarreVSbhQZosTa3t59B2fQSEIGzHjL1EORuRhr/ZGLOSVrP3ebAdyZ0aVEcUbvrilRtOODO32JGZsXzF1xTZzVeTPP2/NikhR+5xMtnthXs563zJm7dE58UZUlSlRZW7hgH2PuLHLCHbq59oVUrH7JkSFlA4SrLW0x06pqQ2EZvAg6tbQgTyVaZFuaSRWtueGKmJ/4jjb/7WNTRGnG4lBEhSmKkc61eJZrd0BeSBThZDmFXaDXuGwuQeiSuaUs689FBdxryNrcRXFS+bZCs3y/kC0Fl2QrTggIax43vajGlk0Bo5HB+563fyv1RpNDB57nkQe+SC1UFXaWzgHMkzXjZxjO85ypx2XJagelCugS8GZMplTXZyzZOy11uZvUqWxZYFlL+fJDIR/6RIv2wLceYOZ5kzXpWuekzFq6pbyq8rlX6+/SVapOsSrXVxsD9Bhrr8J7BejGcVZc1s6mwuaSxE0CCWsjplIhjbb1Kolioqb5wXf1eey5kDseVNBIMqbOPqEUJFoyLCRACXKDLY2lsC2t553FqrasN5cwWWe9K19yRrcMXrVW3ZS+S5aYUuLkgM/jubzRLk8siezqI2XKpZe/guuuvYper483OxlQrwcsTyqmmrY5N88ajrN4AViXvVhLa68N7JLVjaNpx2SJI0lKmVKusGsBnlb9bmmtQFmsq24DSykTpJew75jHf//4BIcWA9sGn/nd9l6W7O00PFdAvpY8qUiTsQbt1WqkqlJWuQsui5eJlaIRgrXS+GNDgvJCLKOLRWVFLlWEQUgPGRt2zST8+Lu7HDvncfC0wHiuwBIgfdIM5IyBPKdOVWoDy9CQsbgoAs08HV+w+Jh0sRe86hwZs+rKaDKmzhd8peKrg90HQkCaRaLDbkJ3IBglPoPIw8vnZtdCQ6uui7Ux7cFymmtZHTiuAjZVYFczly7QS3lSYe5MqqhMhpRM7uhupbPn48mcEuhKpUiZEIQJ59qCX/7gBJ+6s4HxVZmOz6TJWuytnBNwtXNSjUPGkzouo7t5AxfwFdYeA3v+2uqaFFeH54B2A9C880dmRU354yz4TDUJGl9aV6U9kvzMryvOrwgIXboVGLyCyUt5kp1o+X3G2kqC0Zl8KdwUkQWZVSYX0rolxmlwMTiyJN+My+iOUhCWTCSF0VMQLsauGtcfpIxinc1YN0ghFEqF56SUt09PT2VugwvAsaDPnd0hyser3zelt63KhUOl814O3NzjrjgkqrQGi7qTvGJwzPOWeTCpkuyxrTWJ0Hz2/jpffqSR1ZrklqDMGDxn73LVYHfeoCvRVpXFOgcA571x5i7Av5a75daiVHzdnLlFGbiNzcPOO31yPW6bbGVlIpbNeqrsNfs4STyEkbzhJUPeemufQCSQJKDzLQaTYIwhMTDUMNKCSEOsBYmBpBjSD0m2xmaSNc6USxFmq1VkQXGaZWWLe20NDa0dW0+Pr91JuVy8rv5spU4ne304SpiankEKdXu9Hp5TSiE3br6MU0fuOFYLur+9adMsSsaVA1gFt1uyqqsgdIFbAFtnC5XqEvDOz7rJmkrhVGXITemSSOdnZVEdmFacE5nVeSdC85m76rz/jyY4teBDoCxzO4GlyMBdZC3HKhorcqsy+0RUAFwwev5/V6pUMC9WAX1NV9dNZiBWSZIC8PkELC2dxgiJ0WWNik3x284fndoWt3ik2Dqr+Zkf6PC21/TxRQZu4wDdJBitLcgNRMaCPMnAnGhBYkqgp5XHLtjz1ePs88p6nM4JkfvXaQ50B9TjQE9zoI+RwmCUMrNuAwsro9/+6Ce+cuzqK3fbNXrufaaHkBHDTgR9SashCq1cTFca09Kr9DUlECryhFJ3V31vV4OXC4uWJ1QmU1TpmkhHiuTglk5AmVuCvp9ydEHyoU822X84hJYqQG0TO1Z759Kk6LNk3KNn7Y55J9jMw7HCxhpn7spzN5G2OtljWVuPJXxKF0UWGb9q+l4KC3IpTOGNi5zZs3oCIbSdemWsNx6PDFfsivn+d3R55JmAY/POpaoIOq0MSRAMhQ0uyUa4FYuUZXIk1+VFjUpV9SBEXmJrKhKkkDG6vDKOe+HuSAmJJSINNjEls5X3hGCqBVft7HPjlYv0BzGQLUK1fduLCIIaJ47WOLN4gVrNEBZsPJaUWVOHr+GY4Lye62tHj7trm8uK5talFhfaeU9TFk45sqR4zbK3p1KWuoLf/LMJ7nqiVlYJ5hnLDNxKkq1Q7I5BLnescsC8li24FvDHLfBv9OZ2148nKir1KWRuhbDaW2phPeYc/E6mUwqDFgah7X7WQtnnQtnTSGjSvuY114/4P97b4T/90RTLg9JNsUa8yEDukUhROCg5yNEWyOSAz8jCfkaKhmST7UOyE8I6KWUx1VoBZnH1NKY4QQo97w70BDugXxgmJ2rsvmw3V199Nb3eMD9H4erLt/DqW665o+m1f3VmKrSSwq0FkVnfowP4tfR25XXlWnq6Km3GLL9CVyvXLRnryllVHZg/TioJnaE0/P4nm3zwEy26sW8LqXLmzlwTO7uvdE4qRVWUO248e1lh6jXBXJ1z/Y0gfby7vgBy/p7rtjh2YSlZXAtxfDKtlSp5e1s+wFObcg3Olgc//K4uP/KOLnWdgE4zqZKCiR25YjX5KNPkcbYlRhDnEsVkWryQH6KUK64ccTT6KpliVsuYSvrd0f6lljfEqUGbgGf2rfxqbeLaO4S/swT4li2buO3jv9oP5cLR2UlBLchHnrkArjb7KlUtWS1ed5h4vOO9ehK4AWPO3FXdLYstc0aEw+CqytxSJuBrnj/s8xd3NOjE2WRMcmB7RYApyKRJsZlqD+hYMFmYaM5rhewQq193qy2/EaSX7WpjlmEeaLrauzgJnKZkV3+v6vxxA09l9blWaKMwWpHEipZn+O439Ljy8hEydfW4C/a0BLnBBp0ZuBOT6/JSo1eCzcrzcf1dDjcaB3rxs6n786uBnqS2yWEQSQ4fu3D0X/30f+qvm1tfAhzgxTe/hZe+/NvZvuNSQj8icOf6Var6SnavNgLrCnirafWx7ps1CqVkhe2rWx5gSjdLOZaK9/yU5474/MSvTPPMwRDjy1KWFAwuHVvQFIN8xldqWMsaXEumVBI7AueZ+NvJFVN9WPXFx+3CcgnuyiKuTt9mMTDIyMIfN85kLK1VNv5NkRoPHSmuuyzmd39mhat3jSBOS5AXW5yB3RSB51BDpC3IYy2IC7YuAV86KpA4bK5dNje5CzQGdF06L2k6fpIYEm1IU/txe4OU3bsv53u/51285zveVuxPL3/QaE7jBw2CoIaUdqkPAVkF2No+96rnxX01iCx1ultYlT929LcoJYv7WMkUkXvfqgS2zBI6nq/pGsnvfbLJk3tDUuWwtijrTcCxBSugrjonRUBTKVkodWDBzhWwl6z+NcpP1pQnFYw7WcyiT7PyusvsYzXjxs7t1jqbry7sZFqd63EMWsgsOSetHteGFI0nDDdcOeLH3t7jZ/+bTzcR4ENRROI2U2pFKgRR3samhc3kZPcG24ycJ/Tz2MH+8zIAzeeoCZMHnM4KccYhlTLHhMg/iswf22OUpIZ6vc6GDevo9vqrAS5kgFThIS9oHq7VmrtMOkQqsSaYwRQfVhR/LCusrAB7DNxOzYlwQC3yIFJo+35Rb5I6gE+zepQUKVKUSFAixfNT+ho+9KkmH/9yk1EO5jHmRkhkbgvKUpqsWmdHVAOYr5ngKQBctQeryP568mScvceA4ehwDcUo46o3XgLeglsiM8ALIxBZjYowEmFMtsksAFUIY0hTQyAM7359n73HPT70yRa9GLvDdHatz+8zCKdaUiyenKXqbY2MdUKUyGtVXFfFlsOW7koZ0xbFVsLp3cx2YTH+L9vv2pTHxBjNxESTyYnG4Xo9PBTHcbFPC4kyNbOZM8fuvb3RbH5kcmoWKeOx0Qvl5o3NI5Ei18+OnSeMkwhykzvVDOXqbGRZ8jouU3JwFw6Kl9CN4IOfbvKfPzjBhUW/qO12a03sJhz2Nquylatmtrjlv4yB3X0+xtqV98TXBneOarfQqnit8jQbqTcWYFb88TzxQ1WyuM5KVZerylKFdgScYuOs5ud/oM0/f3uXVphYbWBSR49nUsWkYLTtgdRVuVLR4ibT6KYMOLUpA8y1A8pcqohCviQX0/IpjCLN3NwcrYnWRz7zuXtu37l982oGB1DKw/Nrn1OKtwW+dz1CO+yck5W73IRbbPW1pYl7XxRaFd53lblz4Fd0twPuvL9S1gyf/lyD9/3hBOeWsmTOKvauZizt4q3VAfYVzxsu4n2LCngdme0AW3w9wv66bO7OLXSlCowztzMkM28UN8Iuoy1KYAtTeuJC5KxNdp/LFcviaI84MlwynfLzP9hhsSP5yG0tqGWXjlVMbm8aSYyNCwLhFF1lmdiSwcu+1lyS5PagzKdjjV85HXkCYg2CMXiejxDyyUaj8TljBpV9Kt0nO/a8iaP77rgviuJHhVTZsh9psSJZ7nioVYFkNVMpncByrYCx4pKMg1umhUNyMXBLmaJCzaFTHn96W5Oz80EJbjG2SYnINHfunHhZYmK8U8dthC52YnFiu08ydh7T39+gKinA/DXfd7zvVct44DzONbley1VxA88y4CxS9w6Lp47DkkSSS9alvPef9Nm1NYIoY/E802ncINQyucmCyMg4Kf1ic+1CkRWDVS3C3GbUmrGU/+ot0djANgswPU8RR6NH//ITd9z3Pe9+Y2U/euM7tjW9DYFk2O4g6SKVKJjEDYSEo8HzMwlRDTRlzuyF1tZOVWGe0HECSuGC3pEpws1YpqhAc/iMx7//3SnufKxmGygrXrfrfVvPOx8D4cnVWnutYT6Vn6kMLhqTKeRd4cJh8rUcl0wv5uA2Y2ydaWjWBLDjjxsK9raLsmbjPrIAc62iLIEFj9AySxJJhAYhNELLPGQlFQq0PZZ6aHjdjUN+6Sfa/MLvTnLkbGAZAooEkE0nljRpsFlPjZUX+RXTZW+VB5iCrI7dFMul2P3jEIepNiBb8Z2Tg/3+GMNsWOeK3dvtMphjt1UA33Xl6xHCi+aPniHqnrJp3VQVGq9yc2SKK1+EK0lycDMWYGagXgXwCrhTR65kromvOXbB4z/83iQfv6NBJLLVqITbX1mCW2LZu6zzXmP5bWFWSRLWAGcBYOdnXDvwaxK3++Za9Sg2Pl+lxe29UzKbP3fqxMlBX8lslo0QUlsIa2FBLopMaA74MorNJUuiDTUv4T3f0ifV8Au/M8nxC5mzwhi4C8miMFhmzoPIvLdTUzoreVeQBXopaYTzlYsyWVg1KiIv3opTwSAWXLt+E9/5HW+M4jjlP/zM1wF4vbkO5U3+9LODbVcFyVOvmaoNIKqToLIzJj9Y4+399lPYGdDjqXmd7Ti3LLYKbFHo8bRiDVbS8F7K8Xmfn/2tST7xpQaRzJZeE2ttbsbSGV6fkc+a0oQS7EWl4DjYRel3rylfvpHAco3bOK7duvDVaXv7R/O1fXIGH/fKC/1d0eEuyLNxsNmx1Bm484biJAHfS/nuNw3wFPzcb01x/EJANoe5ehLaP1jYsRpBjA0YfSnw8xr37LvZ45ANCspS+3laPi9Bd3uD892bf984FSyNDNu3Cd72xo1f3b1r608vLHdX7ddVAPf8Kf7rB27rwNz+00enXvm9r19WQXZpAemr0QAAKJ1JREFUkllReX5KFVeOIvDMHQldCTBzwMvs9a/F3DnAhSg9cCkTpEo5s6T4+d+Z5BN3NIjUGLhX2YJ2J/qy2qWzFnvnYHbXDYJxKVIF9HiAmR/tcvTC3w7d4wHmuC9evijQuLUnVqaYLAYU42AvWD1bxFXnTJ53HFmf3P67bNIwKiNoQ5IYPDTv/pYBSSr4md+a4uyS8/3GAk4L9BzksujwyQNKnSfYyN2hvG/TMrbJ/m4uWdZsgM+wONtK+BdvG6bvfIW3f7jwV525uXev2rWSNW5JKlCm/xMvvWLX053+DFHs2T8sTMUCrLSXjbWWVTW123KWVt2SCri18+/ygDJBKU3qC/7wMy0+/sUM3NLV3O79mOc9lrEc191VXV0Gl2uNh3D977X0dTlbXfxt8V3NZq5K6lR9bzetX1iCrGbwaolt2flj9Hhms5rxTI0q6se1UehU4qWG97ypzw++rYeXpqV96KTyq5sugs80Cz5Hxqb3EwOxyTKdjoWoxwLOYnOymllvBaFn2NhQHD1x6dPnLvR/Yq3JyBcF+M/+2D/htS8y6RW7dxopVHY2uSAtgahk6YGXcqOatbRlrQ6AC03tgDtna6GdNLwFN57g9vvqfPT2BiOpMqp1Ae2wN6VrUq6r4wAaF+imUoI5Dlo34ZOzh6u1XUDnP7CqTPYbAbfzgxWZQsnqq1wTBEXdeOUEyKZfucB2miPc4LO8z2rIdV5DnqfzJSZL6+tUEmrDd72xz7fcOkCk2gG2466sCXJDmvnlkbG15a7TUqT3zRrFWZX3yiYKe3wk6zdebj5/X5h6M+9ec/96F9vxe66+lTQZfPTUvif2RMNeM7cG15KYeRYzlyVVDT7moDgJnvxeFM/TwhJUMkV6GuHB39xT46d/a4rnj4RZw/AawHYDS5FnK8cDy2oipzoOojp3sMRsdSm8cd1SSd2PgfrrgnssjblanojSA8cNLMc88byDvdKgbCr3uqLHgcI9sasKC6Q1CYwtthbCoLXKMoqZPk7h2l0x//e/avNTCm67p2G1hso+daGRdK6VcLunDDYRpDPiMZnc8rLvbONVUXjixX519lNei59omJyZ673ylTd/dKJRu+g+lhd7ozm51XQXn/zN1sxVC1KkBJ5tA7OLpo752zlbSxfQVQlSsv4Ym2dgViJvN8vArSy4P313nZ/97UmeP5qBe5XX7TK5HX3mC3vmFisz5PqbcVB/DbmxlqvC6q1yol+EjddG99d4faxGJXdK3Ofjer2SsodKFrOyDIrzWi5Tco+8YHGn1DbvEEpzJo8kV+2I+dWfbPNtr+pndasOkxfeuPs4Z3N7AibaSpTYkSx51tPKEDHml1vGH2lBPxX0U0mUws037lm4+4HnfvPyXVsuuqsvyuAAjenr0ckSDL5CM1giSjyixLPyy/HFXfbO3ZKqJVgGlWVxlRtQpplMSVFZzQkefPqeOv/2dyZ59vDFwC1LhsiY1i+kyerhPeVsxfGpAV8D7C5mxyzENYoHK1TzjepwM3Z4CrZ23i/rUiyrF5nCCpuXnrhdiXicza3OFlnnveuyYKRl9qxORWd2hRAZMztVMkRw7aUx//l/b2MMfLbC5F/vZndemnnpafabfWz1Tb5EYe6Y5Pd5LfowAeKU7Rub3HzjHjaum/yaf+1rAnxq3ZbRwQOLP/bJe7f+5cmT880feuuIDVOSgS6Jv+KkjKXk7cCXzNfOQF4WXpXglk62UkiruW+7r8bP/dYkzx0J1gY3Y+wtx2tN8gYGZ0QFVfZeJUkqAeMYmMfBTrXxIT8Dqk+/PsTdAe4wVnxlyvez/rDMOnTlh6vRhZNA+n/a+/IoSYr7zC8iM6uqq7qr+u6e6bnPnkMzIBAwCHGYa1kjCXEIHzyjlY2w8GIhaaUVa+2CsGXAsk5rhYyFZYH1/FgxeiMhGQ0gcQkGgbgHMczdM0z3nH3OdHVXZUbsHxmR+YvIrJ6eixmw473qqorKzM7K/OKrL35XMAJ6VXCHZAMZZkNtXVGG7eg78NCqEqoXB4HQBkUAFYn3zK7izhuHISTw0DN1oE6fGt9WbRDW3gnU+vb6gjnKRqi3sk2D41WOzuZhXH/JLixeuPxAe7P/522t08YPG+BvbNgrGovznl+65IrhJ57dVxg+sAutDeHPlwZ1OrgF6YvBHWluSFN7K+ZmjoB0GH7xbA6f+2YRb2zJAFkrn9LIq4zBzQm4qTkwGedtsneqowca7MwCu1lxV9+ZCPC1dIvVZ6kQ8gGL6NoOpTUnnQTcdDAIcgiVx8lgA13Hr6gah0qLh7a6kMWF8sIwvXyD0uQcemGE8KxYxceSWVV85S+HISXDI2tyCDARyOk3D399pWDwyfa0hHLUpzS7xyUacw6WTm/HRWd/eLiuOPt5v9InMEGbcLzNnt6FKR3NezsbceVNf3xq1REF7C9njcxueg8jecJiADsJE2AcDRhpbsXc0mH41W+z+MzXinijR8WXUBliTC5Z9BlD7MyJdbc0QG2HwUaOHSSZ3AR5so9eeLod7T/UJq1H1E86Ew5OxJYTmv1D6xfGLn5iURFUhyetK0aChDCfpXTUa63JgcUzq/j6p4dw7vvG4AhVCyJhUUnX5ICEFKEEqSKULDoVT19Lru5vc05AjDroHTm7urXXuxK8da+bmz7hdZ0Q4HV1DsojW7Gke8aOk5fN21zf0IBKRZUpMO60jkMxJYqTat8OkxYigGvmdhkeeS6LG79SwvqeDKIyU8r0F4PbJRIlDBIxpAns7BzqvUxj71qSJVl2LRXQFPj2CIg3OSi409z3kccStt5mkR63TYlCmxEtk6EEyd8ENSPCyP6RkZ2cTkw1oC2Qq1IUssKwYEYV3/4fQzj/tDE4Ov1GHsyMqICuQC602ZBcDn1fXB46nBrqG9A+df7mUsuMHWvX9YCxCUXIxAAHAM459vU+1iNE9bqG5sWQMoguhHETqbeSpzlvAmL7VjZuFsaWSBf45fNZ3PTVEtZvz0DWnFBSWWKC22Hp9bwPmnZmBIyZGE2dbFpMbl4FaWwXfl4b3jLxQr0lNE4lSPwftL8PiQXDInDrQYIkowtBQc4NNqdWFBklLGuwU5DzmMklhxxnWDC9im98ZgjnnTYGHqiQPwPcIh3g6gvrtDYhTYBrb7PvBzjjlG5UKv51D/xsTQ/nB4XvxBocAHL1M+FX98NxC30DO/lT5aHXPiCCETjR77BUNmSTwXkC3NpkGIBph05WYtteB2teyeDWfyxifU8GMlPLxk2kivLK6J8ubRa0s3PSZIqRxEDBXcNUSK4ymYhaE0yYg0MHBxnsf5DrHGFaxgeSRI9HJnFLg4cTVEa2kZYWRzzJhLaVKxc+19pdTzBDM6uMLCuhS19yrrS3AONc6XkFLqWAOQNYVaB7ZhXf+swQbrlb4DcvZ7FtrwtkEG/La5lanGjQBkx5Z1kchCWCAO2tRaw4tfupj35wRd/IgTKK9fmDAvzgQwCA69VjYOfTG7nb+K186STIwI/uYjyxomlqKeDmAowHodVEgXt9r4fb7iriL/+uEW9umwjc2galQK4A5jCYbngFWlrjhAZXaVBOxnqSYHvixrf1CZ1wGmi2+9OAbTt7CODpM+x+qrGtWJZwoBBtrdf2QTwYqAtf28SlJNJEWBWyiL3cyAiimlwx+cIZVfzD54bwv28YxvyuKjBO2DvVrR9Eo1cgZnBaUqPqBzhvxSK0Ndd/66ern9s4GXADk2Bw3bL1c+F4jc8Lf/8q+G9dVhl9E/EaXDR7ZxLMnZPY2OvitrsasPLRPMYCHhqva3onaUBVCCrbFW9IE1jAJuxdq88Mf42BGnWn+OBj6cJwUIo+hJYAdcIzGTK03tY0JyoAIwygipld94MEY4UWE8ZMjydHnMSsk44ZkTBRtjANtNK2DAZwP0BHk49r/usoshmJL/3fIjb1AsiSbQ1qZQAC9cUdCBYfTgIYrwqctmweVpzSver05XOf371veNLXclIMDgCFhilgwa6eps6zPpWpKz3ouHVRgD40w9FYE8MNHzK3wwScjMSmHR5uvasYghtOaApkziTAHepubQbU7J1YrNXW1fSZW8ClnysgGzEoNsOnaHVYx5k02lNthUyBmoDX2ty0opiTyqjPij+BYWEhzE+eo37oarW01krM5ELQRwqTCwfBWBi7cuX5ZdxywzDmdFXD9BvK5CJ9wqnDssNoQon6+jq0tjY++JFLTv/Ulr7Bntmzphx9gANAtjALQ7uf2pZv/sBa6c5Cpar0HWDlUNJkhZC5HR6AZwW27nZxy10NeOARBW6XHzK49RLbTpR6FuttmmMZ/arY4FRhv3o7WJ8jBdwJWUIhaYvtQ2Rzrb0NHW49059rmnxMP09Up5Xk2NIeDDHQDTe+lidGhCJNc6MTTFJnRRJwq8JCgc+RkxIfvaCMW28Yxsz2auiOpJNNQUyIUWWtkMEdBnBRxbJ5Hbjy4veuXfnQc9uWLug6pGs7aYkS7VA3HYWG6Xf2794yR44OXS1FH8m3NM1/0WtHoCIZXnw1i7tWFvCjR/OoMJX5SyeR4AcFd2zvTtYUpKbAtHBYuywbs8ANJEFuMLLF3vZEk2L8UFsEbEN+aIsJATcj+lQzMJOGvpZqg2j9eCCWK1J7Blmc7kZNkESecMkgERbV5wjX5NSVL7nOldCZPUBEl0yEF4ZzhsAHMq7A1ReUAQF854ECXlqXxXjghInMdhKzGmi+dBAIifnTmnDmSTPuv/ic5Xeu3/TWIV/XQ2JwAKgvzsG29Q8P8Wz3xwt559eZjITrVMOHWjLEUQ/OfTiuQBkM//LzAi77XDPuf7SQnomTCm7tsI1P1iEPLUdoAR8K2HglL2uymMbaAOjaoBTsCXa3JpFpgDaSkSeDbmvjZM1C/T5mbkPhENOgzejRcSjD0wkmbMnCDXu4KXPIr4CIJ6hUrkhVrjkQ6rXP4QUSV59fxk//vh/XXrofBa5KUkRl4qrhIwifq4FAFQ6Qyf96xbIZH//X+1cPLe2eecgAP2QGB4CZC38f5YFnRmXzlZXRnXcj5w4gk6mCsQBSBLEVxQP2Bww/+EkBX7y7AYMjnmLtlJBXsKRZUKGJKabW0sRk75iR45jvFBs4UqwjsMFPQEtAHLM2jTUx1bZefCqJ9BqY1pO/g4GcSCNJopDSXPYRgBnpJ306qywx8RQA42qSSU6OQUbmQj2IKJPrZGGh7f8qKEsvxiVoSWTJ4HCBtoYAt39yBA4H7v1JAQeqDPCkut8qMpEFABNo7+jEp6+7tNLv89GPX3PG4UD18AAOAF5hMQDxnF86a8W6dQ/UjYsxtDUFmD/VD+cKHNiw28VPH8/h9nuKGBxxlXeSMjYFuA18ngC3nZljyBHYwVQyhYGJ9rZBPsFzqhZnMegnwjOr+YkFZtggJf36vTQHhhGboqIH9UCQLJ5whsBWgiehx6H2DV8z8lqAgwsBCQ7JRTQAEnKFCYDxMHBKhkgPxY0ePMpzIAD4As31Af76+hHkPODBx3PYuCus+gvJMK+rjNaiBPdKOOuck8pnnjz7OWcSDp2jDnA30wgpRv5KFD4kv7LqrU8/ueb13NKZY7jtkwM4Y3kVa171cOt3G/DEKxmM+xa40zR3xOAxuLXupqbAVHBTvY0a7E2BS3EZMXYNeYIUl719MVInmZNX4hJQoaopu0Xmvxj0YT9TOts8ER1mK6W1r8XaUiCu3y0YRFRdn0XMHK3JoyakEBycC/WrEyZaCAU+Bhlqb3XxGBPQa2lyEZqJw+CuAPADNBcC/O0Nw7jo/WO45btFPPeah9OXV/Cl60cwv10AudljDV1nfYM73hdbGydn805rk4rgrdW+9KXb5YHGc56qBEWnOiZXlLI7ndYWH/1DDm7+dj0e/20OgVR6m9v1SqzSapyTCWWILoeFIzCaWBrLayvAcwvsqe9VH11BLYoN168ZiRcnA4STfhW1GAYwsmi/8Pgq9JSFAafxMoNxIUya35l4cOv/6kHGWGLA0lXdOI1wBKx+GQ1cpB6bDnxyzmSg03mGMRmnQQiMRFRC7xzTgiR9kbtMApmMwNyZPhbN9rF1J8e8aT7mzBBYMGNhZUp7950FZ9tfF5pO848Eo4fN4LrJ4EBlpNJ1x7WX9VSWd/m3rXqS8X/9RQE79jhwsmoJjaheoLkAlKm1tZcSqeDW0iSRbgbTDGhPLNMWj0qNNUnT5CTgyo77Bn2rAWRfnMmQuDz4dlSy2ExuTBp1jIBkEFLEDhxGtLcRoEWWDof9uYp3scyOgrC4QMj2UEzOISDAwYRKbWQ8uo5SckgegOsLyQFRlRCBxLQ2gb/62Cie/x3Dt380VbjenNs+eGnr16r7hipHis8jYnAAeO5XD+CxfzvXP+eUtv5XNrf/+T+t7ON/esUw5s8N8OJrOYz5mXDpPrJsthnfTZkbBrh1+Kur6wmyOO1Mv6fyxOEpssVYWIoyurUNj5kyTkCO2ZtFjE3ZWzF8tK0+hs3Yk2DwlEcyXIBZg9J8r/93YqCCpQ9g1HhmNGjMqn8TDV6yTdTHyOhjyfcyZnAGgDsSI+MM3/lhA559JYOrzh/DvHkXiq39y256+XXRe8YZ1x4pPI+cwQFgqLIYWTFlQ0vb+hu+d6t/17KZD/IfPhLA4SwcQ9yDkaAAvYJTLEf09XEUsKNnBe5wL2lobT2RTLOe1CyBDOuhAUDuEZC86dE9NL45M/axN2K1PiesnerMJPZu/dZm8chELvU/kHGqG7MZWZpMb1teyLOQUAFWAPSEE8TcqL5Z6LKXirXVdRL6mjlhv0p5Y+onRDAOLgWkigZzHYkg8NG7z8N9j7Rh4Umnig+fu+iGcxoXbRga7j0a0Dx0O3haW7TgfWgu9VXOOv28exbNrvssxyyUDwABywBOFnAyAM+EQKfaWyFVW0poZKAdRJVWP9AMjort21GV2INIEJBnWNvY9GTay83nidFqblJrM+qVNPqtvgQwrb5wm9i+TT2kcY0VKxECdHszSMv0aMaDBEizo6ugLMGi9YD0I1pVInDhBy6qvgs/8MCli6xXxZyZXVi3o+2z8xdccM+a1/dXFsw/7WhA8+gweHiz34fA3xoUp/7Bpo0bOkceeeGhhsFRALkcwF0wpa+lxYocMIKjHIZE5dcIwAonPOXzBPCj/5OSjhadc/xsszW1nhh4ZyYrJ6X5ZIS31WoxesTkcegsiK6OvJmKzTXI9blJGcZKOVIDXTO3OoZeX95mcXU8rnW3Sn2D/p8sZPrQch2ycvK0w/8RXy+9QIIEEw44d1Ae48h5En90aQPOu3jFyOJFv7fpxTd2BZf9XvfRguXRAzgAcCePR38TPLhozoV/seIDpW/8dutjzX379iPn8sgjq72y+p5SE54ueccYzatU0gRJc2DMzDIBq1SdCSTlCjUPJnSm+WxbFuzXLGWfybRIcShw2lKDKpMYwLEsYcruzahMUT4hPQCM2HEWdtKY8ei1lj5AZFtnyv7tkMAvslm8RidR2DqSm0UBefEIVpmi4ZKDbCpOOfUj/W7prJs8Z+eDG7e3HU1IHl2AM9YOAOjdM3zfJ6/6gMsZu/PeHz3RNtg/FBZJF0AAEiRk4YBGAUY2baSwMrWUwLSUmKyedMvr/2lra9C+FEaPv2Py3GvgvUYHaZOwoCQQTl5T4MICaezRBLGkED1usT5lcQb9OSODSirWVgOLsoCUirhouED6F5MylC8iADK5NjQ0X7gnV7rkf0pRuY+58w4PeBO0o6LB7Ta1rQi/Wv3+Jy5fcfNV53Xvaa6TyHIBTy286nEZPutlTnStQ6RNGM1i9MnJY1J7U8bWzqLodlANnrBKIGIgqkui2oTxLQ3/UslTcyJau1E5wtI+qKXLSZQgfW8+p5V10weIM3bMUFvzmQJcEN1O9Tdk/L5WInOUCqce1aqDkdE6+O4Ze+qaLr5ZBP73nUzzsYDisQE4ALS1FLHqZ7+8Z1p74fML503tL1fDS+PqylNcO2/i5UQoaxv619DZFntbk8YImyzFVW+8T66YRtGWYHnyC2BvDusYcrIIJy1tkinpw5pIhp8zA8yx6YVMLhNZP8w4njFIrIeItqeTz/hzEObXXz4JajvPE3CdKrL5Gf1V0fz5DW88cY+bbTxWMDx2AAeAj1/zYfTsKd87c9a0GxctnD5SrfpwIJVHUi8cG7M1YIHIZm+Y721jB51k6j5OXlOW1v8rzQlkgz4+JXtdTLNF72XqHhM2I/YEBOeUvS2nS6LfiDOJD5QAesS6qMneGtT0+AABPHSpivjkJXmmqy0HuqinZAB85IuzRkrNU28s5Prv7V7+QRzLdlQ1eFob8x1RbMjfv3gu8z2H/eCNdVtzGc+NFv3UkxFBb4r102+b9uI+M2k4Dq6VJlhTjsFS/kf4khn7pgqOiegbSd0+qWbrccsaom3daftEsSxk+0iDQ6WupehyAbWkn9pfX39qd5dqMspUUFaU7haFHeupbXg/9GkZ0ieSRFU0NM4b83LT/szJ1K8UQXnCoj1Hox1TBgeAv7/5aoyUx4O2qZ0rl87tuOaMZTPGIPzYgcNCZtasRb+xydAypQ8JxrUdOrbc0BqbAl/jhmptewJpHy8+ycNBM2lych+lsjIoY5vFmGKGRmwPtyVGtH/M2kLGLJJIm9Ma3JBFycZAWFw9qlUJnu0eY97Ma0qNzSulPxq0zrruyK7dJNoxBzgAfPULVyNT3hvceNV7fjx31tQ/Wdo9c1RKAQciii/RRV90vehU9oX1sLdRsEjX3OYgoPLDtpEbA4Nq7wS4J7aaTAb7htlN1vjQ6opApvW2fg+kSBUaT0L7LCcO+X+mjGEGs6srbEwuwy8QJ5wzZV4UgiMIGIJAolCaPZpv6PqT/f7v/7h3pwhaZn/imGJOtyOORZls+9Xqlaiffi42vLnxdwvnzdjicnZB/+D+HIdEVTIMVRjG1EWjobG28yZRjk3/CtSKMdH7R9F6cb3vtIjChKs/2p7GkDCy3Ant59b/sKMKzf+f6pyy5RRSpBVLGZQs1vvpob9xxF9aHmp6zIo1USf/K16uJowHDxcFFnDdcNnJStVDpepASo5MYdZQrjDj+v7dW+9vbhrC9O6PvV2we/sADgBPPboSH7rqv6Grs3Ht1M6m3tnT288WlZF84A+Ds1EMjTEEcJDhLCxgz+OcSyfl5qYtR5IAdwLkzNiHRZ+nAY8ZA8MIrbUGQBhWy1IGxSECHCkgZyYAQ5hqMKf8OkEfxwK8/gD2/1JRgSm/eIwlS03rFjnZeBjo5nk+sl4ZQ6M+du4twJdT0d713n3Z/LSbmFP/w1wui2ndf/Z2Qu7YTzLtducXrwUA7Nw9cK/rOu6aNVPu6Nu6uq0u9zpu/G4LRqqZ0KtpJTREN408wGDJiZQcTLKD4X5P0er0YU40gWgh9ZTGJtlXq2n5wMjrWtI88lAyur/yHEpyHEZlhvaKxl5P00auHDV6YglyQiByR52gnlwKdXwdnMWZQLlawefvbsH8zmn4o8sv2tM1/7Qv+IF/bzbXdIyRld7edoDr1tnehPHx8j9fdMFZbKCvevsLL/a2iUAiy4E6tWCrq38mMYGeZSnMZP2s2rZy+7Xe3dDgsEE6AWQPBc1pLc2jqVzqqYdmlnvfOAdt1YitG1GdFC5NDyYjE099HiS+RWpUR3Hm6n+rg4QWlnAlNQQOXN+FLyTcTAvmL7lwz/xFK24uV/DP9YWGI7xAh9+OG8ABIJutg5TD9zRNPc0/sNb/+oIZzzft2zsIF3H2TXSDYLEbYd/op9KeGBIWNjV0crIK2CCPoUX77XakRpRJNWoOhOlOj1ifYBDMeo84ZzMCJ2Jzn8axIMfXpkm9zoQtUYRaXJZBLTkScPi+i4ZSB75804UDhebTPjc0yn8wtS03iS947NpxBXh44YrYvsu/b8nic/vPPW1kbgaVv1v577/xIDgymfBq+kG4eFG8j35h9jHrWUcqRloUxBFEBwEs8JMREIFfWgOBxcc9li0B6viUTUli2LRpQJVmcRbFe3MgBjxlccMzKRMyiakFfJlk8AWHH4SrXbqOQBAAxfZzqjyHz8+dc84m7rg/Z+z4ghs4AQAOANM7XPHSq+sevO0vLs48/OyG0dHA+c5TT7/CshjlEhzDY8BYELKFx0n9E5iMXGuyBms78xFbDqKDks8Tb8jGacriWLRUBaNOLI7bC4EavSdyQkM10tmwTIgsLjEh1EDWiRE6RFeX5fOcABIMVd/B6LgHEUg0NXpiyrSTpFdY/N953fJ/GdzXW2npaH0brszB2wkBcAA4eVk3fvHMG5W2zs775s3zH8/K0asODOz+my3be7Fzf4A9ZRc510PJk9CLfsYWCJkKbEa2mcgUZ3s3mYFu4LBgfAyRXxPwkkoUzfd0wqqz7i15YjiK6EO77MNfAYcLZLMVZL1xBCKHvm15NJSmoTnX+H+aW2f8yMm1bA/8DZVs88nH7ssfYntbHD2Tbf/lzEV4//JZ5brKzvVzZs++45ST5t926flLgls/FmDJjL04UAkQyBTQAkl9zYidOi1bnszMampvZjE5MKHnEYez3ZE0GiWY6t2kQFXvRWj9EPo5JYhK16Q3VkeWAOcCucw41m4r4/Z/a8YB0R1k6+fftnTZ/Dve2Fhd7+a7y9niiQNu4ARicNr+9NorsfLHPwmuuPwPbhke7Hf94dJnV7/8dHb9WwwOZLj+PC0HweIJqWFb1knASGHwhO6OtXdCnsCctNKmExDSJcTkWsKLetAdkl1UpgDa7Bfr8rAMsjIXChZWshKhfBFAVPie1jJkaiAE4PA5hx8wBMJFhXVhxvxLxj/4obO+2trWestjj/4c511w2duOk8O8VCdOq4yNwMuOQMrM7b98ZvOK2761mjt+ecXwwD43m3EjT6Suc0IdOw7JlI+9jklwcwVabvUDJvA5oHKkmfXLwchgYoYjiPM4mz4+F1Wtiywd7pDzi86Vx84tfX6RHOOwfrWSK1XECwBY8o2rCmC62gAPH46jYvI56Yti7QUYqmhsKvoN9XxNXecVYowtXTM8jpunFRmamoqHcXffnnZCA5y2f/jeKmQ8r2Fk//67N23q+ejW7X18cLgM13EUmGn5iBBIDo+BxAm4bb1tehpta0z4IgI47EI8sddSl58w+yYGOB18ZmkLa2W4WgAHAXnaewJywBwAXHkguVqmPbxu+n24DI0IAkheQKFhimhrn/7/cnWFT/iBPzJz4eXHGxKTau8YgAPAG29uRj6fa93a0/upXz75wtLtfYOXvfr6JuRzDrIuj2NLOOBwFiZT6CV9qLpO0+0kfiP2YsZVoWKAU1BbANdMzg8P4LouaWLpQ04lmKQlZKzBantypRl3QqebCtyuZm9HRowe1pcJ4PAKGlvmQvLWVe3TTl1bbJzyTb86tre5bfbxhsKk2zsK4LqtfXMbSsX6mS++vO4bL7+2/rLfvrgWw8PDyHgOHCespuQ6YTyL67CwSgXZn+bBxjEjyQloBCCY29PBEIOZyJQUyXIwgNvxM4yUmjPnDjHA9TnpG1mLufUAoJYWxgDHkfCc0I7tuiHApRQAfBQK9ejsWoyWjgWrmtu6b6pW9vfUNcw63rf+kNs7EuAA0LdrLzIZb97a321eNrL/wKdefW3d2S+9+iZ27x1GNuMi6zFkM0DGZXAc7XEDgkAaALejCKNafuTqUKDHP/XmPlwHchEgx8FaBwd4pMMjkCfX9IQlN+ybaGhyFjI03VfK0GkmhMpqdyWyrkQ2EyCXCQBUwZwSWju70TF1wZPZbP6bpZY5r4rA31hXaDnet/yw2glpRZlMmxI6EjZKKTcCWCuC6pSTlnX/47MvvDnvmWdfcQLhgzOOjMeR8ULrwHhVwA9iZ4YNDM6TCWZRIFQi2CgZyx2FbRwGbRjhB2QdQlMyyZr7SmX1YOrXw1E2bv1rwJh2qQPj1dA0mBGhFMlIgWyWoaPr1KDYvGhjpeJfP232mX0A1r8d3tpj2d6xANdN3YD1O3ftW+/7wcWul+u64NxTHnj44SeKu3b1FpgcQ2ODBykldvVXMF7VTguAOUwdQzGu0uraAULD+uK0LSRsgGH6Fkvmjh3K97BeJCa7JJFDfw6YjhkhdXVbGS1HqS0mrhN+mbEKR/+whBAMxYJEQ30erR2dB7qXvn+Ys+qVhdLMHYw5Pe90YOv2jge4bp0dLQiE6Oma2rZ9cGhkicvlGYD4p7e2bfbHhrc217lbGx57sYytO7MoZBny2XBSCmiJwOAoUIROkNA+HEVk0OwZRdma7+N8x7iWn25U1tBGK1BF26ZMfsN+U0un2eIDEa/v7spwsDoIaZ1ziYzro1BXRW9/Fa9uzmPR7Ckji5Yu6O9eONd1XXZdqWXOs5ls/RAA8W4BN3CCeTKPtDmcgzEmhkdGBmZOn7q6sVRc8Ddf+9ncyy+/4svT5y19vd9vf5llGsfy+TwACREIBAoVrsuQ9TgyngNXMbuwlgERyj2oNbxAWAwn9PzFJdBMhk8HSzKQKZYnZvKGZRmxM5dUprUfAOMVhvEKU6v1hYUvpRDwfYlsrg4dbdmxM07Ovnzeecte/9BH/vDLO9atmpvPFxeUmqasHivvH2CMvavAXfvqv4va2MhWOI7HXnr553j8lSan1FD8TgblBTu295y1YUufUy6PoZCTqMsCpfoMPI9j32AFw/sDM+aDsKu2usR9jNjew0mt47BoohnLH+oEojZ7wFXrBLhc26eTZj9tBwdMNpcCGDrAsWdQgkOiUCfR2sjRVJTwMjl4uSnBjBnTft3WwtZXKgM3PPRcEJx56iXwg6o8acn0432Ljml71wPcbkNDQ8jXZZt29O3923vvX53ZvGVbMKOz8N5ivXNKnTOAzqZdeOhZiV17M6jLMrgOBy0SFHsV41mqto5E4OYMrhu/NwcEI/uEoHY44KpVXlxXxqtW6PUACLip5zVMsBbIZwNs2VXGvz/NsWxuI5Ys7ERzSb7QVBh+sa1jutM19+JKtq71fwXB+ECpeOJ6HY9Fe9do8Mm2UqkEAAMAPgkAjz3+JACcLUVwUSk/cmVXS+/CvX4VTz79FlzuY7Q8BhH4odnNdeG5oVGdZraHhSljF7iGMSdOH7vpNSY1mwMxkF1HRowfRaxCgzyAEAECSHiuC8fNIptjWLRkPvYEDXjPrNKbc6eXHsjnMw9LKZ9cdupZx/uSH9f2H47Ba7Xx0X4AuNh1R+e+uWlQfO/7q0RHe8vs5pbmL/T0bIfrOtj21i4MDQ4g44Ws7LgOggDwRci+2QxHNsPhuQ48jyPrcXhuyPRC0FokEkLZKj1X2+sBz5HIeAK5bOhh9AVQrTIEaoB5rkBTUwmFhk4I4aO1fRoGB/rvKB/o33LKmZfycdHCC3XZTQBWd7Y3He9LekK0/wR4jdbXtxu5XLZx2/bes1965XU4jlPN5nKf5kxe6HBABAFefOllvLVzCPvLArkMQ6neAZMBgqCKjMtRn3dQyIcOl4FhCT9gyOc4gkBgYMQHZwz5OgcNeYZshiGX9VCfd1Fq8JHPBhgc4aiIRnQvXg7H4fBcwPPYI+UDY18XUnjTZy5CqbnzSb9aGSyWjm7Z4XdL+w8nUSbbpkxpB4BBAD8FgG3b+wBgnZRBBwNE1a9iy5bN2Ll3FGACjsMgRFBdcfqptx44cOBSCL9arHdRrJfI56ro6RUoVzLoaOIY9wP09Pmoy3IUCy7q8wz5nOvV19f/bNP6l27NZhyvrg7YX3YgUY+ZsxbD9VxwDu66fBeALaXGKcf7Er0j2n8y+FFsjz3xNBhjHbt37SoFflUW610UGyQa6sax6S2B8ngOU1o5xqtVbN4hUMiFAC/UAfm6DGtr7xiClLsWLT39eH+Vd037/7VejQYRXQM5AAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjE4OjM0KzAwOjAwCwV+cwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxODozNCswMDowMHpYxs8AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 31975465
{'hecke_orbit_code': 9008711116784228, 'n': 1, 'trace_an': 16}
-
id: 31975466
{'hecke_orbit_code': 9008711116784228, 'n': 2, 'trace_an': 0}
-
id: 31975467
{'hecke_orbit_code': 9008711116784228, 'n': 3, 'trace_an': 0}
-
id: 31975468
{'hecke_orbit_code': 9008711116784228, 'n': 4, 'trace_an': 0}
-
id: 31975469
{'hecke_orbit_code': 9008711116784228, 'n': 5, 'trace_an': 8}
-
id: 31975470
{'hecke_orbit_code': 9008711116784228, 'n': 6, 'trace_an': 0}
-
id: 31975471
{'hecke_orbit_code': 9008711116784228, 'n': 7, 'trace_an': 0}
-
id: 31975472
{'hecke_orbit_code': 9008711116784228, 'n': 8, 'trace_an': 0}
-
id: 31975473
{'hecke_orbit_code': 9008711116784228, 'n': 9, 'trace_an': 0}
-
id: 31975474
{'hecke_orbit_code': 9008711116784228, 'n': 10, 'trace_an': 0}
-
id: 31975475
{'hecke_orbit_code': 9008711116784228, 'n': 11, 'trace_an': -8}
-
id: 31975476
{'hecke_orbit_code': 9008711116784228, 'n': 12, 'trace_an': 0}
-
id: 31975477
{'hecke_orbit_code': 9008711116784228, 'n': 13, 'trace_an': 0}
-
id: 31975478
{'hecke_orbit_code': 9008711116784228, 'n': 14, 'trace_an': 0}
-
id: 31975479
{'hecke_orbit_code': 9008711116784228, 'n': 15, 'trace_an': 0}
-
id: 31975480
{'hecke_orbit_code': 9008711116784228, 'n': 16, 'trace_an': 0}
-
id: 31975481
{'hecke_orbit_code': 9008711116784228, 'n': 17, 'trace_an': -24}
-
id: 31975482
{'hecke_orbit_code': 9008711116784228, 'n': 18, 'trace_an': 0}
-
id: 31975483
{'hecke_orbit_code': 9008711116784228, 'n': 19, 'trace_an': 8}
-
id: 31975484
{'hecke_orbit_code': 9008711116784228, 'n': 20, 'trace_an': 0}
-
id: 31975485
{'hecke_orbit_code': 9008711116784228, 'n': 21, 'trace_an': 0}
-
id: 31975486
{'hecke_orbit_code': 9008711116784228, 'n': 22, 'trace_an': 0}
-
id: 31975487
{'hecke_orbit_code': 9008711116784228, 'n': 23, 'trace_an': -8}
-
id: 31975488
{'hecke_orbit_code': 9008711116784228, 'n': 24, 'trace_an': 0}
-
id: 31975489
{'hecke_orbit_code': 9008711116784228, 'n': 25, 'trace_an': 8}
-
id: 31975490
{'hecke_orbit_code': 9008711116784228, 'n': 26, 'trace_an': 0}
-
id: 31975491
{'hecke_orbit_code': 9008711116784228, 'n': 27, 'trace_an': 0}
-
id: 31975492
{'hecke_orbit_code': 9008711116784228, 'n': 28, 'trace_an': 0}
-
id: 31975493
{'hecke_orbit_code': 9008711116784228, 'n': 29, 'trace_an': 24}
-
id: 31975494
{'hecke_orbit_code': 9008711116784228, 'n': 30, 'trace_an': 0}
-
id: 31975495
{'hecke_orbit_code': 9008711116784228, 'n': 31, 'trace_an': -24}
-
id: 31975496
{'hecke_orbit_code': 9008711116784228, 'n': 32, 'trace_an': 0}
-
id: 31975497
{'hecke_orbit_code': 9008711116784228, 'n': 33, 'trace_an': 0}
-
id: 31975498
{'hecke_orbit_code': 9008711116784228, 'n': 34, 'trace_an': 0}
-
id: 31975499
{'hecke_orbit_code': 9008711116784228, 'n': 35, 'trace_an': 32}
-
id: 31975500
{'hecke_orbit_code': 9008711116784228, 'n': 36, 'trace_an': 0}
-
id: 31975501
{'hecke_orbit_code': 9008711116784228, 'n': 37, 'trace_an': -8}
-
id: 31975502
{'hecke_orbit_code': 9008711116784228, 'n': 38, 'trace_an': 0}
-
id: 31975503
{'hecke_orbit_code': 9008711116784228, 'n': 39, 'trace_an': 0}
-
id: 31975504
{'hecke_orbit_code': 9008711116784228, 'n': 40, 'trace_an': 0}
-
id: 31975505
{'hecke_orbit_code': 9008711116784228, 'n': 41, 'trace_an': 32}
-
id: 31975506
{'hecke_orbit_code': 9008711116784228, 'n': 42, 'trace_an': 0}
-
id: 31975507
{'hecke_orbit_code': 9008711116784228, 'n': 43, 'trace_an': 24}
-
id: 31975508
{'hecke_orbit_code': 9008711116784228, 'n': 44, 'trace_an': 0}
-
id: 31975509
{'hecke_orbit_code': 9008711116784228, 'n': 45, 'trace_an': 0}
-
id: 31975510
{'hecke_orbit_code': 9008711116784228, 'n': 46, 'trace_an': 0}
-
id: 31975511
{'hecke_orbit_code': 9008711116784228, 'n': 47, 'trace_an': 0}
-
id: 31975512
{'hecke_orbit_code': 9008711116784228, 'n': 48, 'trace_an': 0}
-
id: 31975513
{'hecke_orbit_code': 9008711116784228, 'n': 49, 'trace_an': 24}
-
id: 31975514
{'hecke_orbit_code': 9008711116784228, 'n': 50, 'trace_an': 0}
-
id: 31975515
{'hecke_orbit_code': 9008711116784228, 'n': 51, 'trace_an': 0}
-
id: 31975516
{'hecke_orbit_code': 9008711116784228, 'n': 52, 'trace_an': 0}
-
id: 31975517
{'hecke_orbit_code': 9008711116784228, 'n': 53, 'trace_an': -24}
-
id: 31975518
{'hecke_orbit_code': 9008711116784228, 'n': 54, 'trace_an': 0}
-
id: 31975519
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