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{'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[5, -1], [11, -1], [19, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 15, 'field_disc': 265220672769489567986553833289, 'field_disc_factorization': [[3, 3], [7, 1], [11, 1], [11239, 1], [21661, 1], [372829, 1], [1405519979401, 1]], 'field_poly': [15, 153, -45, -1081, 391, 2516, -1609, -1763, 1480, 431, -545, -4, 87, -11, -5, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[2, [15, 153, -45, -1081, 391, 2516, -1609, -1763, 1480, 431, -545, -4, 87, -11, -5, 1]], [7, [22429, -137361, -29409, 510031, -87941, -448684, 195473, 105408, -76610, -324, 10036, -2119, -253, 152, -21, 1]]], 'hecke_orbit': 25, 'hecke_orbit_code': 108086391090451561, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '5225.2.a.y', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'minimal_twist': '5225.2.a.r', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta _{1}q^{2}+\\beta _{5}q^{3}+(1+\\beta _{2})q^{4}+(-\\beta _{4}+\\cdots)q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 15, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '5225.2.a', 'trace_display': [5, 4, 0, 21], 'trace_hash': 59055862889091099, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.170', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.573', 'prec': 20}, {'__RealLiteral__': 0, 'data': '4.653', 'prec': 17}, {'__RealLiteral__': 0, 'data': '366.363', 'prec': 24}, {'__RealLiteral__': 0, 'data': '142.488', 'prec': 24}, {'__RealLiteral__': 0, 'data': '18060.344', 'prec': 30}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [15, 5, 4, 17, 0, -1, 21, 9, 15, 0, 15, 11, 13, 9, 0, 21, 17, 22, 15, 0, 6, 5, 26, 1, 0, 3, 1, 46, 9, 0, 14, 18, 4, -13, 0, 12, 9, 5, -22, 0, 4, -6, 28, 17, 0, 27, 14, -4, 32, 0, -40, 14, 3, -39, 0, 34, 4, 26, 1, 0, 2, -3, 45, 5, 0, -1, 37, 26, -7, 0, -7, 16, 42, -43, 0, 17, 21, -64, -10, 0, 31, 22, 14, -32, 0, 37, 29, 9, 15, 0, -22, 26, -18, -44, 0, 71, 8, -10, 15, 0, 0, -26, 34, -22, 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mf_newspaces • Show schema
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{'ALdims': [32, 37, 35, 30, 41, 31, 35, 45], 'Nk2': 20900, 'analytic_conductor': 41.721835056119, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [5225, 1, [2927, 2851, 4676], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 589, 'dim': 286, 'eis_dim': 23, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7], 'hecke_orbit_code': 33559657, 'hecke_orbit_dims': [1, 1, 1, 2, 2, 2, 2, 5, 5, 5, 6, 6, 7, 7, 8, 9, 9, 15, 15, 15, 15, 15, 15, 15, 15, 16, 20, 22, 30], 'label': '5225.2.a', 'level': 5225, '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': [5, 11, 19], 'level_radical': 1045, 'mf_dim': 612, 'mf_new_dim': 286, 'num_forms': 29, 'plus_dim': 128, 'prim_orbit_index': 1, 'relative_dim': 286, 'sturm_bound': 1200, 'trace_bound': 7, 'trace_display': [2, 2, 0, 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-196, 12, -140, 0, -600, 92, 8, -564, 0, 232, -132, -104, -504, 0, 124, 68, 36, 412, 0, 40, 244, -56, 144, 0, 116, -188, -20, -76, 0, -592, 200, -60, -72, 0, 32, -416, 32, 0, 0, 144, 356, -4, -194, 0, -236, 40, 152, 236, 0, 40, -150, 0, -296, 0, -178, 32, -268, -556, 0, 360, 0, -188, 208, 0, 684, 240, -256, -132, 0, -352, 228, -6, -64, 0, 154, -328, 304, 92, 0, 480, -110, 80, 98, 0, 140, -44, -58, -388, 0, 168, 128, 88, 412, 0, 152, 164, 46, -208, 0, -424, 80, 160, -202, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 48532400
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 10, 'source_hecke_orbit_code': 108086391090451561, 'source_is_minimal': True, 'source_label': '5225.2.a.y.1.10', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 10, 'target_hecke_orbit_code': 108086391090451561, 'target_is_minimal': True, 'target_label': '5225.2.a.y.1.10', 'target_level': 5225, 'twist_class_label': '5225.2.a.r.1.6', 'twist_class_level': 5225, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48532401
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 15, 'source_embedding_index': 10, 'source_hecke_orbit_code': 108086391090451561, 'source_is_minimal': True, 'source_label': '5225.2.a.y.1.10', 'source_level': 5225, 'target_conrey_index': 1, 'target_dim': 15, 'target_embedding_index': 6, 'target_hecke_orbit_code': 76561193698858089, 'target_is_minimal': True, 'target_label': '5225.2.a.r.1.6', 'target_level': 5225, 'twist_class_label': '5225.2.a.r.1.6', 'twist_class_level': 5225, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 3835200
{'charpoly_factorization': [[[15, 153, -45, -1081, 391, 2516, -1609, -1763, 1480, 431, -545, -4, 87, -11, -5, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 2}
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id: 3835201
{'charpoly_factorization': [[[683, 818, -3765, -2828, 8006, 2586, -7684, -595, 3687, -257, -896, 145, 101, -22, -4, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 3}
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id: 3835202
{'charpoly_factorization': [[[0, 1], 15]], 'hecke_orbit_code': 108086391090451561, 'p': 5}
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id: 3835203
{'charpoly_factorization': [[[22429, -137361, -29409, 510031, -87941, -448684, 195473, 105408, -76610, -324, 10036, -2119, -253, 152, -21, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 7}
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id: 3835204
{'charpoly_factorization': [[[-1, 1], 15]], 'hecke_orbit_code': 108086391090451561, 'p': 11}
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id: 3835205
{'charpoly_factorization': [[[-531655, -241516, 2008913, -397420, -2003656, 1057634, 486709, -441710, 19768, 51769, -10062, -1944, 667, -4, -13, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 13}
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id: 3835206
{'charpoly_factorization': [[[1116225, 3544002, -67857789, 182953039, -140068260, 18537879, 20658867, -8201626, 37449, 462132, -60055, -7465, 1890, -23, -17, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 17}
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id: 3835207
{'charpoly_factorization': [[[-1, 1], 15]], 'hecke_orbit_code': 108086391090451561, 'p': 19}
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id: 3835208
{'charpoly_factorization': [[[-2682024, 20344608, -37476306, 291865, 56829377, -53803232, 16395506, 1560666, -1951288, 296820, 42931, -16040, 871, 178, -26, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 23}
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id: 3835209
{'charpoly_factorization': [[[-31375800, 828314784, -1881786210, 594086533, 726067277, -151912605, -92010190, 13919334, 5211070, -657678, -144635, 16770, 1889, -212, -9, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 29}
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id: 3835210
{'charpoly_factorization': [[[-1388125, -2917059, 8525983, 5264113, -13616411, -53321, 6755062, -2613705, -190108, 273234, -35795, -6114, 1694, -52, -14, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 31}
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id: 3835211
{'charpoly_factorization': [[[-162016351, 314621230, 435751892, -639559637, 80928646, 141993275, -45848211, -7461757, 4465121, -98686, -151177, 11831, 2036, -207, -9, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 37}
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id: 3835212
{'charpoly_factorization': [[[-220545465, 834586578, -583272195, -743174212, 726282035, -34565143, -100325373, 15292370, 5058884, -955355, -113816, 23933, 1142, -261, -4, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 41}
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id: 3835213
{'charpoly_factorization': [[[-212132375, 676639061, -137918896, -682966242, 216446234, 239593633, -61209809, -33407617, 4752251, 1501513, -196910, -24688, 3891, 74, -28, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 43}
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id: 3835214
{'charpoly_factorization': [[[-812451225, 1337842869, 298386006, -967945651, 40484604, 254893675, -35765640, -29142075, 6185812, 1182428, -377951, 7994, 4368, -249, -14, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 47}
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id: 3835215
{'charpoly_factorization': [[[-33084572583, -71171562366, 1698788592, 19101364724, 640894762, -1943378311, -74484496, 97718789, 3286897, -2676785, -70817, 40564, 741, -318, -3, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 53}
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id: 3835216
{'charpoly_factorization': [[[-766016655, 7288722027, 18191757036, 4138445122, -6041429935, -2225791370, 327605290, 172167040, -5243324, -5123570, 15373, 69867, 191, -435, -1, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 59}
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id: 3835217
{'charpoly_factorization': [[[2601462755, 41660638977, -51882636144, 4735041579, 11595091970, -2604050583, -805026316, 216886203, 22453346, -6599288, -248447, 84894, 1162, -483, -2, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 61}
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id: 3835218
{'charpoly_factorization': [[[995592677, -565732862, -4310894023, -2796656037, 898335790, 1040721955, 49941666, -85374962, -3252452, 3298980, -46295, -57818, 3575, 309, -37, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 67}
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id: 3835219
{'charpoly_factorization': [[[-765891181005, 1832891931429, -1378988660799, 227422824397, 126728810038, -39688051945, -2531774524, 1446203048, 268332, -22404605, 367030, 172303, -2987, -657, 7, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 71}
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id: 3835220
{'charpoly_factorization': [[[-23072143651, -20247507234, 13737320342, 10745139271, -4126304960, -1807574180, 706176481, 72882513, -51519937, 3909405, 861927, -163077, 7055, 385, -42, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 73}
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id: 3835221
{'charpoly_factorization': [[[1326572185771, 855249688244, -166256491988, -231344928009, -37278503702, 9861531526, 3000844563, -63020763, -80629411, -3336059, 966595, 67179, -5171, -447, 10, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 79}
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id: 3835222
{'charpoly_factorization': [[[87522675, 421419735, -3825897492, 6072242678, -284875052, -2429880539, 27223084, 278486043, 21219252, -7153824, -560763, 80080, 4854, -441, -14, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 83}
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id: 3835223
{'charpoly_factorization': [[[-1998434698983, 8694124921971, -3104673779514, -972883107398, 428704614444, 16362342517, -16910816507, 389470831, 293427498, -13784786, -2484424, 144909, 9945, -636, -15, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 89}
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id: 3835224
{'charpoly_factorization': [[[1657280631608, 2293751276152, -585317674414, -676828804625, 215779207074, 19753195779, -11833186313, 267998104, 240865884, -15295104, -2040603, 173685, 6974, -719, -8, 1], 1]], 'hecke_orbit_code': 108086391090451561, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 25, 'label': '5225.2.a.y', 'level': 5225, 'portrait': 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CfwBMIaZicN6yY0iyshKwPBMPVZ6gs2ThgWOoZjZxU1P2DjNGydjdkwM2T9TMTGmYitGyzbNyou3+ZTV00OH2vz4DMBj+9LefpoglZd3vjSDm+9zVJXM+w7OsnhUx4nz2nOZOA+MG+54co5/vO3L7Ft3QQn56Y4t1hjoeOz0JEsdTUrPc0gEuw7usDzx1Yu37335MuOnjx7wbFTZz93y2veGt93x0deaEj8nR7/qBl8ablDf2jxPX7tnkf33/Zzv/N++a0vP37bf3jbCW9uaRMLyxMsdBrMLwcsLHssdAQLy5rFlYSFZc2ZZTi4IJhdt8wvfecCN+5qcPzsNKfONTk173F2wXJmPuXEnOZcN2VyeshLru5x82UQyDqhCjm7WOP0vMeZRUE/gjQ11AJDs6aZmkgxwNEzKSs92LHBp1mPsFaACOgNDNs3Riwse2CdFFnuQZSCxbLYidmy3qc7UAhlESaiXfPZvmnIcl9w9JSHNh4zbUmrJgh9SFNBP5KcWZScXrCcXUoJwyH4Kbdc0eO2KwWz7ToLS22Onw05NQ9n51POLqacXISDC5YXXzHPL3/nEhsn2xw7M83ZxTrnFgPmO4LFZcPiSsJSR7PQNcx3JUdXoLuwxO/+ZJR+zxvl/WLiR42sXX2/EuZnE+NTq7dfaKic9/GPlsHf+Wcf5uUvuZ6f/Kn/+Csf+Ju7/v0f/OVdFz9/bOWCg6f68tarBly0yZCmHtoqrJFY6w6EBAQCi5KWUMGphToPH5BcvXORy7YNadTA9ySBrwgCj2Zd0vAl/Z7P3iM17nw84Oi5iJU0Ye/xiA0zi7zpJUtcfXGXF1/W4ch8ynxf0AiHHDpl6aw0ueoiyfJQs+eIotXwePYoXLLZMow1Qx3geQlTLXj+eIjyNL5M8XwYRJIbL+sz6EuuvlizMtAcPdXiwo2KZiNmObKsn+yz1Fvhg3fBk4c1Tx8esmPzAtdcusLUdMwbbunyjS+37NzYQieTHD45wcETPsfPGE6cSzhxTnPwnODYcsKLds3xS9/ZZcPkJMfPTHN2MSOIjmSpY1juJnR6muWeYakvONtXLK/E3HTFAj/ylnOy7nHB2TPHL+z27E1h88J6ozn1heef/Ai//0cfeKEhs+bjHyWDv+d9H+baqzapL9576D8fP3H2Pz2956g6tRAzN/Q4N9Bcc8FZfueH5rj24gZnFqZYXG6y0KmxuOKz2PFY6sJSR7O0krLYTZnvwPElgVcfcuuVi3zzy2MuXN9kudfm3GKduZy9Ok4iLHUNKwPDSmTpD1Nm2gnbNxhAEPqWE+d8hAzZsV5x4WbL5vV9zi5FPLW/xfWXWBr1JZ45ME2rGRPHPjNThsEQLt8+5P13TXLptpQosqybkCR6QKsW8uyRIXW/ybW7Up4+FHN2IWDLTMiFm2D7xhilEk7MQ+BbhLDs2JAy1ZJ0ByG9vs9K32dxRbG4DAsdw2JHM9/RnOnAwlCzfUuPb37FPLde5lHz25yebzO/VGN+2WNxRRTgXupqlrqWxR6c7irOdlJuuvQ07/jXC+za2mCp02Jppc7KYJJa6yLdbG/4lb6+7JcDcUy/+Na3vtDQWfX4RwXwvfv2Uq/X6idOnNj+4MO7337w8Kn/uv/gSRKj6EWC5YFgbiA500148c6z/NYPLXDNRQ3OLU2ysNxkacWBfGnFY2kFOl3DcjdlqZuyuGI52xGc6lkQPd760g5vuNFw0aYacdxgqVNjuRfQ6SqWeoJuXzCMLHFq0Rq3GvhQDy2Tbcv66QTPH3LwdMzuAyEmbfK6m2I8f5nH9kxwwSb4zMMpL70q5FxnQM1TpDphegrSxMfzUxYWGrzkuhU+80CLCzfBo/sjfBp87Y2GVAzYfVBz+EQNTwZsmPKYagrqoSAIBEpAaiBOLMMYun3Lcs/Q7RuW+4aFnmWgNTu29nnDzR3eelsMpsXC8gTnFussdHwWVzyWOrDc1XR6Kctdx9yLPcHprmJuJeXFu87yjh86x5U76swvT9Lp1en0Qrp9n/4A6q2tBI1NPz+1/vK/3rx5y7EoGg4uueTSFxpKxeMfDcBPndjP+tnZYN/+A9+95/n977zvgSfE3EJPRgkMIkM/snSHDuTnBpKz3YQbLznHb3z/AtddXGN+OQd5yHI3YKnrsdwVdLrWLbndlE7PsNSznOsKTncMU5N9vubFXW65LGXHBkW77rPSrRH6ElDEqcQYgbHQHwLCMNUasv+kxdiYOx5tEvXrXLwl4Nar+yRmmXsen+TaS3z2n+nRWWpz89V9vvBYyIZpy56jlh95ywp7joRsmJbc+bji1ssVi/0VDh2f5tpdMffsHpBGDW65ImDntiGDtMfnH1OgBQdPeLQbHp6A/sAF1dpYkhSQBi8wdHqWZith26aI2y7v8zXXp8w0a5xdnGBhuc7Sijs3SyuCTg863ZROL6XT03T6lsWe5ExPMN9NuenSOX7l++e45qKQ+aUJOr0GK72Q7iCgN/DoDyX9oSDWdbNl+5V2246dP3zhRRe/Z2FhLr7qisteaEgB/0gAbnQsk3jwpmee+PTFna55x0MPP+YvrQh6A8NgqOlHhsHQ0osMKwNBZ+iY/HQn5ZbLz/Fr3z/H9TsDllcmmFtq0enVWO4GLPc8Ol1Fpw/dnmWln7LS0/QGhk7fMtcTzPUg0RHXXDJg47Sm17e8/uaICzYaUi3xpCVO4O6nahw7V2PTVMozB2tgGly2VXHdpYaw1uex/X3m5ptceUGT9uQSDzztc8MlNRb6yywttdm40fLwHsW/fFWPR/Z4bF3vM9/rsLQ4zXWX93ngGc10fZIrL+5xrtPh4ecmqXtNXnypZdf2IcgeTx0WrJ9OODuXcM9TPsNEISVoY7lgU8zX3BzT7Sk2TxmuuwTiuMFip8FiJ2S557PSV3R6kpUerPSdU9Lta1b6huW+ZXEgOdkRdIYRt+6a45e/b4kbdoWcXXDM3e2HrPR9egOP3kDRG0p6A0Gnq5lfjnjRtTckqfF+6tu/5c0Hmq36p2qBb15obL3gmczhYMBwGH3n2ROP/Pb82b3Tp890aNYk2kiEcOlqIVKkMCBc8CgFKGFQ0uORfRv42Xd5vPXWRb7lVYtcuCXmzEKbMKhTDwMaoU+z7tGtS1oDn4mmR3+o6Q00GyLDILJ0hyGLczVOHLfEqeHkmZQwtIAgUBZPCvoDhcAn7Xu86ALBzs2W7Vv6RLrLZx9RPH9gitdeH3Ld5Uu897OWQDS4YEufpx9QbJlUrGv3qak6ceJzrgvNmsfWDYInn4+5bledl187z1/cPiDwW7zmJosf9vniwzGfeajJc4frXLS5wQWbNLNTMReuS7jqAo1SBk9ZwNIIQ2YnQ+LEp9sPeGa/T2/o0S+ACL2hpdd3f3t3oOkNLCsDy/IA5vqKs0uWRrvDj75+jn9xa8Q1FzU5Pd8qwN3tO8enN1D0M3D3hpZBZEm14O57H/Gb7Znf3rz54cXXveqmf9fv9f+i0Wz83wvwOBqA4PuOHXrw147svWO6313B9wJqoSDVFmsEudEjpEYIUNIgpXNIPGUJpOTp/bM8sa/JvlPneMttPW67Yshkq81ip0FzpUZ7ENDre+7iDCWDoUc/8hhGlmFsiBNLklhS7Y44DbAGpBL4nqAWCCZbgqkWbFxn2Lqhz7qpDp97DL78hI80E7z2ep8XXdblvucS4mGbW18k6AwGnFtocssuw7rJPnUvZJgq5lYSlBG8aJdHoxXx+N4aL7tugpuv6fL4XgV2guuvCPjeNy7yhSdj7nykyZ5jNbbPKjZO15lqNZhoQT0E37MoCcbCnsMCrQVJKohTiBLc3xhpBpFhGBn6Q0M/MvQGsBLBXE9yrguRGfLqaxd5020dvu01hjRtc2a+Sbdfo9sP6A78grX7A0k/EvSHlv5QM4g0cWKJE8v8sTN84MOfm8aa/++Nr3+Z1+v139V8AUH+ggE8iRaQMvnecyfu/rW5o3ett2mXIPAx1qK1QRuwSMfawi3FUoCSAiUdc/nK4itD3RfM9+t84K6tfPGJFV561TLf/uplrrqwx8xkg4XlBt1BSH/gZ8BW7ogFUSJJUkGauqXe1W65oNLzoBZAo26YbiVsWd8npcf+kwkfvKfGoeNNJsM6N1zhccvVKzy8r8MdD7a56ZIa2zf1ef9dAiVC2q2E5V6EsaAEzLb7rHQDTFrnTS89xwc+02Dn2RpvuKlPnCxwz+4ZEl3jxivW84YbVrhkW4cvPt7n6eMNnjocsHVaMt0WNEJB4LubUAoQwmIsGGNJ0uxmTSxR4m7kYQyDGLpDwVIkWOyC8IZce+ky3/41y7z0Cs1Mu8bySpPlrmPt3tCnn0mSfuQ0d38oGESWwVC7I9IMYxcLCKk4M9/h3R+4c/1S3/7aN7zppfbk2eU/37Jh8gXB2f9xH9x2/gtP9P49ew/t/q62vPc3W/qe2ThaRikPsso1i8heCgQghEAgENJdSCkFUoKS4ElLIC01DzypWOzVeOpQk/t3h+w9lbBppsvOLT0mmjFT7Zh2I6VZT2k1UiaaKVOtlOm2ZmZSs27KsH46ZeNMytYNCRduHrJjU5etG5bpJ4t8aXfM5x7x+MLDbZYXm+zcUOPFl3ncdOUKXm2OTz9Qpy4nuPVqwc7t5/j0gw12bQrZtD7lMw9r+v0mN19puGDzMgeOhbRqDbZtHPDJB0DZkE3TITMTAx56PuXUOUWS+Hiqzq6tHjdelnDxti4zUz2OLhj2nFCcWzKcXbIsrmiWupqFFc1iR7PQMSysuOf5jmW+C2eWBSeXJMc7grN9zUrc59pL5vm3bzvHv/76PjddGuCJCZa6buXr9Gqs9AJW+h4rfS+TOTnAS+YeRtqtEollGFuGCQwTycn5Ifc/d6apOPKym3Y+cfrXf+vrn3x26Y08++Dt/0fx9n+Uwf/9r/4JtH+Rv/qFH/q2Lz9y+PcGC4cnaxfUaTUnkEoihEXgKFQIhQCkkEgpHXMrhacEnqfxMvkQeIbAt4S+pRFoJmuCbuSztDLFR77c5q6nhmyY6vP2V3S4bNuQ4aDHlRdatm1URImP1gptJNZm+l4afE9z9Kzl8BnB8sDwifsanJyfwsY+UzXF5hmPHRs9LtoCV+5cwch5/vRTTRYXJ7jpMo8rd3b44lMCkfqsn5I0Gyn9JEBaCVaivIDOUHB2UXCFbfCK67vc/3idzesCbrpymu954zzv+UyXR/Y26Q19FpZbXLi5zqWb+ty4q8s3vKzLqcVFPnFfyEI/5Ohpn5MnA3wlkFIiEG4lNJAYi04NUzMJV1/RJ4oSLtsW8bZXRKyfUEy3QpKkxum5Gv1BQD9yq9xgqFwVZiQZRIJBJBhGuJUgB3ZsGMZOgw9jyyCGQSLoRYKu9jl9fIm//uS+dUeObPi9TnJF8te/a/7n/NHfYt2O//DPD+DW/grwnPivf/hT39SdP/Bnb3npM43rLpHEfY96mKW3wQFcODIX4KSJBCWlA7fKnj0HxMATBL6h5lvqiaURWyZqmqm6oB9LunGTwyea/Mb/nAaTItKU66/uc+HGmDQFYw3WuiSOFAKpBJ4fsPdYwJ4DNZo1j1YgWdcQzM5I1k97bJ5V7NikuXTHMlos8N8/2ubosUlu2uVz2QWaQdrlwd0hk3WfmQnLZCumUXdSyBhJZ6hY7FkWOppOr85Lrlzm0T19nj+mmGzXuPGKSb7/TQv8wcfg8QNNegPLctfj7GKbjesarJ8asmNmyH/8pj7tRoenD8Pe4xLftyhlEcIA1v2fhTSFCzZqbr0qRSc+SRpibYNh7HNmPmAQ+Qwij2GsCvk2iAXDSDKMBYMIothp+Sg2RLEpwO1Y23nx/VjQjwWdRLCUgBUpj+6WpP1Dk7/0Y8mf/cSDF6Xrdvz0h97wA5P2M3/6/f98AP6r7/xjbv7mner3fvKht1629bn3/qvfP117YvcM7/ixDpdtH2KtAus0pBQWIS1KuEBSKZsxt8X3XG207wkCXxH5kig2hLEmSiz1xBAlhji2tFOIEkOUQpwKhokk0iGJrvH8gSZPPQ/aWhy0nTb2JQTK1Xy0QrhyE7TrMNGUTLUUM5Me66dh+8aITbPLJHaR//7RCQ4emuC6ixQXbZXs3LrEl55NObswwfUXSqbahlowIJQhVglSLRHWkuqYpV6Nsws+111W50W7utz3eI0NU4JGrcV1uww/+tYFfu9jhmdPtljuGZa7irklj3WTTabadabaE7QbCbPNhB3XxYR+iu+lKKWRwq2EFndTJYni3JxHkiqSVBEniijJnmNJlEiiWDKMJVEsXIAaC6LYOlAnhihy5zmKK7o++7lBQgXcgkGUwHDAlRcN+ZUfW+bmS081fusj3nt/4w/+m/mpH5746IF/+9v6kqv+3T99gP/kb3yQKG2qm6868bbffm//L06cOFNLafLZh2r4fyL45R/scOXWngN2BnBZBbd0waSnFL5n8TxJ4At3EXxBFCjixAE9SSxx6iL6JK0cGlJdBq/aCIyhALdzZ8CT4PsQeoJaKGiEkmZDMdGQTE0I1k+n7NjYp9Vc5qP3x9yze5rl+TZXb1fs2ORzybYhWizzuUcaNH2P2SlFqzFk90F47pDHVdss/UhxzSUJV++0nDmtmVsKGAwbvO6GLvc+PWD/SUWzLgmDNlddZPjl71rg7mcHfOrudSysWHas1yx1PCbbiommT6vh06xbaqEhDAyhp/GUk1oya620FpewMoLUSFItSFNBkkriVJAkkihxzkucCOeIxBAlmjgxxBXiiJL8gGEMw8SBu5cIVhJJJ4FhFCPTHi+6cJlf+qEFXn9jQq9f5xVXPF3busW+79yhS//VzMTmD587/Gd6/YX/sEz+Dw7wDY1UDobz33Lk8Jk/+uIji7Wh2YZRBhoxn7zPJ4483vaqFd7+qh4TbY3qa6TUKC/3eTW+5+F5HqGnCHzHNrEviQJBnAh3cRJFkkKcSOcgpKXtl2qD1s5d0DZzSjK3RIg8YBV4niDwBGEgqYWSZl3QblgmW4YN0xGzU11Su8yH7pW85zMzrK/VuHq7YPsmnws2G3ZsWuKjD1oWF2tctlEx1YZWI+HsEcm5pZDgQogSweyEZHIS9h+2LK0YzszXuOSCGq+6vsvtX64x04IwCFBykqt2Cn7gDefw5Tk+ed8Uz52ssWElYf1kykRT0aorGnVJPfQIAwh98DxnoUrhnKcC5LgbWxvQWpBqMqBDoi1xCkmiHSkkhjh7jhJDkkCUuNKFKMExdyoYxIJeKlhOBL3Ekg4jJmorvP11C7z9VT1ee72h222RaJ/brpL0+kdr3aXpP0vElGdF469wPPNPE+Af/NDH0dp81xfve/a3Thw93t48regkkl7qMdQeWgZ87hGfB5+tcXpxkR/5hgFT7ZRa6DKOntIEno/v+fieJvY9gkRlAHepdMc4wjFRxkppCokGrS1pDmzjnm3uA5LpfCFQSmRBqwNILYRGzdCqp0y2UmYnB6ybWub+52Ped0edvYcnuWDCZ+dG2LoxYOsGuHT7Cv10hYf3tKkrn9kpxWQLJlsRUxMpQeAhhLu5BlHA4krCct/S6aWcWwrYvrHFzZed445H+uw92aYRJvgqQIgJdm5RfMdr5nnxped43x0tHn5mkoWex/p2ymQjpVGT1GuK0BeEvsT3XayiFJl9mLtTrofVGAqgp9pkq5sjhSQ1pNqBO00gTm15JBCnDtjDRNBPBN1UsJLCcJBi0wEzjRX+zTcu8h+/tU+z5tPpNoiTkCT1iBOfQRSw0jvd1qr132sT1wSP3H/7e2687Y3/9AC+sNhBKvl9/+P9H/21Y8dOzDRDgRAWTxhq0t31fRkQKcXy0Oe3Puiz5+Ayb3pZj1dc22XDuphut8YgCvH9gDDwiWKPMPGIE0UcOIAniSRO3bKbpJmnrSHVMmMqMEZiLCW4XZKytBqVS5gEvqUWGOq1lFYtZaodsWndCmc7fd75CZ/PPTrN4lKTi2cF29cLtqwP2LpecOHmIV6wzAfu8Th0vMmuDZKplmSiqZEy4uScJfQkUoC1gjjx2LF+hUfQrPQVSyuWs4t1dm2t8Q2v6PDhLwYcORviewlC+BjbJEkl11+4xI5vXeFzj/d5/+emeexIky1TgnVNTbOmqQWC0BcEvsT3BJ7CBc5SFDUZFneTGUuWc3CAz0GeZKTgVkGItfO341QQpRClgkEKvVTSTWCQGHQ/Yuu6FV5+3TJvflmP199g8EWdpeUacRKQpD5x4gA+jHyGsUe3f2pmU/PCd1x385tVPOy8K6j9w0zc+gcB+PzCMoHvfc/ffOqeX7vn/mfWp9riK0HNdw5JHtCFKfSFpF+v00l8PvClGnc/3eW6y7p862sGfN1NK6ybiOgPawzigND3SVKfKPGKQClNFYmWpKkk0YI0lWgt0EaUWts489Fm4BbZ0u0CWJcsCnxDGGjqYUqrHrFusscgGfDF3ZYPfmmCh5+ZZCrwuWqLZdO0ZMNMwOZZydYNMRdtWeLpIwM+ce8sE8pjdkLQbgrajYROX/OZB2u0AosQDliDyONNt0Z8+iFXE9PpGc4teWxd3+Itt/V4+Pkue/YHNMMUJYUDuWkwjJ3W/45Xddi16RwfuHuFB56b5NhSnY1twUTN0ggMNc8Q+OApgcpcKCkocgvgwO20ebnCpRnQHUFAogWJzrKiWjBI3dHVEMWGNI5p1nu85bVLfOtrVrhul2bDtMdw2GSlFxCnAXHiZexdHtoolLR0F55ef+rI9K9tvvAVJhouvzusffWTQV9VgC8uLrPc6SGl+M7bP/fl3/zoJ78ws7jUce5HBjAhLEqApy2BFIRKEKaCvvIZeIoTKyGnHmrw0O4+H76qy9te3edrb11meiIgjgOiJCBOfJLUI8mAnmpFqqVjbV0C3NiMuU1ZUyaELVL+nrJ4niHwNWGQUA9jWvUBmgFfeFzyP++a5JnDE4gk5IIpy6ZJy7pJxex0wMZ1ks2zCds3rnB8rssff6pJGtXZulUw2fJoN6HdSBB+zMqgyWTLIoTAWkhSyXSoSE1KNwno9jVLK4qTc3WuuKjFD379Mu/4q5Cjc008lWQ3hkea1hjGko0zIddfvMLVF/V49uhJPvilOnc8NsmpTp1mqGgF0PQtgWfxlUuGKVlar/nD4Dr8jHWBt7aQauH8cy2INcRaMNCCgYZBaknTBJPEzNQGvO7Vy7z91Su89KqUybpHnLqy4+r1idPMuUlUBnZ3nSyCfn+J/c/dtT5JvN/ccuHNaWfxxP/wgjaN5lePzb+qAO/2B0xMNN/85fse+YNPfvrO9qDfoVlzyVJd2IC4WpLUuRaexmUitWCgBD0VMNQe56I6n3y4yT3P9rnxzh4/9o1dLt/eZf2kot3wiJOAOPVJ0xLkOge4kRgrsdZJAlsElCCFQSmLpwyelxIGKb6KWRkkzK0k/O5Haxw+N8XjeyaxJmCmLli/zrJuQjDTVsxM+myYkWycSdky22dmconPPWF47LlJrt4qmGpJWg1Ju2Fo1mOEHxGGHp5yv99a0FoyiDwGw4TUCLoDQ7dnWVzxObPQ5pZLe9x8xTIfuLNGfVHhycQB0nqkOiBOXI/nuskaL97Z48UX93jk5ac4Oid53x2TnFtucGIhJFCSpi8Ichkm3fkviDyXKjgmT60gNZAYQaRhmEJsLOgU0gSpIjZPDbh6h7seN1yuadc90rRJpxsSpX6htdNUEafKXZ9EOpBrmQHcOTrWBgwX+3Sf+tJMYvw/2LHz+qUkGnziq4nJrxrAn35mL9u2bFR/+Kfvv/jZ5/a1e90O7YaHMTZjCFBCoBQobTNwW3wNvoIghZq21JVgqCV9L2SofRbiOnc8NsH9zw1ohhH/6vUdts6kXLB5wC1XdvGEaxETwskVnbWvGSuK5JG7nrm/7rxcSwoy5dnDkkef97j94RbPHmsRpw1anmK2bpluWqYa1vngbY/pCY+ZScHG6ZTNswM2zS5xzzMRf3r7ejZNesy2od1UtJuCViOlHkbcv08xjD38pgOVtYI4ldQ8xbW7Bjy0e9IVPg00yys+88shZ+en+ME3nOXE/AIPPTmLLwGRYIA0A1AUS3oDj6lWjcl2k5t39Xn51X2+9ZVzPH/c8OmHazz8fJ19h5qkwiOKFP1EoYR0pQ8jgWeWE7CG1FisMfhCMxHE1Ei4+boeF24asnVdwrd/bUQ9kDTrPnHcoNMNHFtnR5r57PmRZqDOmTtNq/JRYIyiN1hh7zNfbneWTl9800u/WZ09dUBv2PzV6dz/qgD8ueeeY9vW2eD+Bx/5bkH6W53lBZp1HwFFUb42oJVFafCkIJXgKWfjeVqQKkugIdRQ15amFgw1DH2fofbp6xrdruY3PzCFTRM2zA65YvuQmYmUt71qwPb1MUmSMQMSKsydZ0alNAgp+MjddZ4+2ER4HkdPNTh5tkGtrpgIBZNNS7tmaNegVRdMNBTtlmKq5TEzCesmUzbMDNmyfgVtl/nIvW0GvSaXbLW0G4pWQ9KqG1q1FN+P+dxDNaK+xF8PMgNTkkqadcXrbhzw5ScMvUjSG2hW+h7LXY8zCw0uv7DF2166wuPPNji62EJJAySZXvZJtHOThrGkN/To9AJa9QbNesTlW4fcdOmQ4+c6HDm9jOdrnjrk8eEvNRBKOXCPzx+0BnATCZJYs2NDyttfNWBdW3PpDsuGGdCpTxS3SFPXNZUmHon2SHUG5nQ8JnLPaSpJjCj8d21c1aO2LkayRnL23BLtaf1be559rD8xc9F79u17Pt6163+/aeKrAvCzZ06w0pnfdeLY8Xfufuox2WqoLICxaGMxRjgbyrilMrfv0uxzX7tkjG9ccBNqSI2loYXzZ40g0pLISGLjkxiY67X50tMGi+bjD7uRDW5khLtIkGt+UVQkCiGRSpEmHtJ4+J6kFcKFs5amb2iEhkYIjVDQrEtadSeHJlqSqTbMTKTMTkVsnu2iWeJ3/6bGfbvXs3MGphoZezckrXpKox7TbAyo1xuESqJkpsFxciBJfIYDwSDSdCNFb2joDoxrmWsGnDg7wUuuiPjRbzrLb3/Y49hyiBAGaxOMtpkzIRlGroy1NfBo1gIa9RqNsEEtTGjVY66/JCbwE264JOXbX93HU2mWBDIIYUdFeSbpTFaLH/oKCBhGHguLXla3k8c8jp11DujifQZsLQrGTov3ovDfcxbXuWWp4cGHHpOXXqneObu+f28cR898NbD5vw3wR+7/KJMTon748P63njp2UMxMBcSJIElNBmTrgK4tKnvWSjiZokEr98f52Q2gTQX8xWtXUJ8aSK37t9hIUivRxiMxITqzvaqPIkspwBPCZSoV1OqWmmepKU3oQ+hBLbDUQ0E9kDTqkkbNcwBvCiZbhul2ysxkxPrpHpvXL/Cntxvef8cGtk0q1rUM7aai1VA0G9Coa1r1hNMLhoOnQ2qBK7+FTA4YwTD2uHCjYeO6ISvDwHUsDTQrfcly16NVr9FqTPLtrz7HodNn+LNPbMGTHhaDNprUWJLUI4oVg9gVRfVrksbQox761ENNp+tijMDX+J7G9zWedAk0KXWRPRYiq1txZywDuaBjZCYlsrgmi2+0KQP64tm44D7NNHaeMdWpIDWj4E51lmgyAl04NtAfwL33PyG2X9B56/btFxx8z/s+NPju7/imFxbgtVAFy0vnfqbfPfMzSgxku6EYRC7lW80kGm1R2qKVY3VPO/bOvWqdsbc2Dui5dVX8u7Vlmj177bxcUQRKVc0NZJk8F1h50jjdr5yz4CuB71nnG3uCWiipBZJ6qKjXFK26pNWwTDQ1k62U6XbEuqk+2zcs8PC+iA/cvZmpWsiGlqHdEA7cdUmzZmjWUlqNiIf3wlPPN7h41ma6t0ybDyLFDZdaLtk+4JFnJuln9dW9gZeB3KdRq1OvTfLNL1vkqX3neGjPRrAKY7Q7T6klTWxRTzKIPBpDS72mqAWGMPAJA03oGTxP43sGTxmUMm4LFunKIqhUcTqA58G5cOc3d6QK1q1YsVoWkiPNpUeVrXNpkrO2zpyaDNgO3K7hZBhZVvo9aY6e/s9+0AxardavAPELBvBo2JdxPPjFh+5+/79bWjgV+F5AGFisdcmFJM2YOhWZ/jZOj2uLURSvnUbPAS+KrGMOcFNYWRaTZeLyZIW1lkrmfWTFzVPVeUJHySxjqcAvirZc9i8MFLVQUQ8FjbqgVbe0G5qJZspkK2JmYsDm2SUe2jvgF/9iA8dOTHLROsNkA9p1RbOuaNagWdPUawmBP6QztCip8JVFyvKbaSOy4CugXU/op4Z+5Pbn6Q813b6kU1c0uiG1sMUFGxN++bs7/Jf3Sh7cswGLwliD1oZUp8SpIU4Uw1gxCCX1SFELJGFgCQNF6Bl83/n9nrIO4MoBXIm8etOONuhmqX2bkYjNg0I7GiS6ayQxFdmRA3j165KwUl3x3FNDkrqaF2sEx46fDJrN1k/9+I+83u/1+z/fbDT+3un8vzfAo2EHa+NfObzvnp9YmD9WU0rhGUvgCay1WQYNVCrQUpAai9JOdpgC1HkmrQR5mVanZGkD1li0FRVglwdjABeiPKR0EsXVk7sYIK8l9z1JGLgBQLXQjWSoh5ZmzdBqaNqNhIlWzHR7wObZZR56vs9/ec869h6bZse0c1hadUmzIR171y2NmqZRS0h0zF/e2UIqhS+d918wuM11qc93vHaJzz8W041D+hnAewNFt6fohB61ICT021y6LeW/fu8Cv/AewQPPbMBYiTYurZ6krtAsig1RzZW7hqGg5gvCwGU2A88WGVtPGaRy3rgUFikrAC9TnkB2rnG5hPy7G5PXtGQgt2C0KFZYXbwuWbu6Uusc3Magi6I4U7QNSqnYf+BI7ZO33/1v3/L1rxGLSys/Oz3195ue9fcG+NL8Qaw1N5898WhdEuEp5djVGizSnbjUuSWpxoFbiVFQa4tROVO7z1xBlAO0Y+782d04I+Be43vlAM9rMFRRTy6yOvK87kTi+9LVbwSCWuhmnjRCTbPuwN1uxky2B8xOdnj4+T6/+O5pnj26jq1TgplmRZrUPJo1V79Sr6XUwxjfjzi5MIWvXIuds+XKIFNrSZoqNk255MlKUnONA5GbJNAdSup9RS3wCfwavjfBZVtT/uv3zPFzfw4PPbc+08LGLfGpzpjcEIWGWiwZBqqQYL4PvuckmqtTcVatzL3x7LmK8RznNpctJi+/zYnHATmPK4rV1lQBXgV25VpXamCK9rrsM2Oh34+58+5H6hdffMHNUv79d5z4ewF85fT7aU2daDx6/4OBSZbwfYnFFulfMEgh3UlLc3C5VLDOgF5IkAzsBZCrMiR/XYDafkVwQ5mSzqsEpRQFuJUs68mdPIGaD2FgqNcs9dDp50Y9od2ImWwOWDfV4bH9Q37hXVPsPjrL5knFbNMwURe0apJGTdGoC+o1d3O4VH/MQ3sEvWFATZHdZFkbni0BkaQezZriliu7PPxsm37iZMog0vQHim6oCANF4AeZfp7k8m2GX//+c/z0n8ADe9aTGEliTNYsXfZgRoEkDIxj76w2xc9ubneQyZRSxsksy7sWyPOkkEUU2c+ypkWMFHCVkpJMulRW6bHVu6yBwcUUxg1aMlZwZq7DO9/9ieDVb3xD41f/5FP9n/vBN/3DA/zQ4WPM622T5w78xR9Lu/Iygc6Wf4tn83Yz5zlL4cDl/hCBMmAyoOdLmvEcq9sC3OVzDmhTALtsCibT3sXFEFn/pszAnRUZqQLgoLKKQd+DwMd1AgVZgVWoqWfyolWPmGgNmGqt8OSBiF941xRPHVnPxkmP2YZhog7NmqBZVzTqikbB3ppamNJqDLnnqYDlTo2pqTJNnoPFZMt4ohXrZxSvflGPex41rosmNhWQS2q+pOZ7+F6A59WR0nD5Nsuvff85fvpPLA/sXU9iPJKsAtCVvTomDxNZVBcGnsTzsiIsKVBefm4ovl9+E+ZSReRVaZQJofFjBOgVSZmvxkXspO0o0DMgF8FyDv5MnxsLcaKZ7wxftnDqyJ//7A+//Ye+583Hlzdv3vYPC/CVpTNIb+Gn9z6z9C0ijqhnqXglLSg7ooGlAGUsaaZ/8zvaMwKtqicjA3uusU0V3Odh7uJmylvdst8rKfV/9nvzikFP4eozPIvvW8LATYqtBZp6LaVRS2jWIlqNIdMTHR7fF/Ezf7KOJw9tYP2kz/qGZqJhM3Bn7F2T1EPH/rUwpRHGpCaiG4cIJfFzBi80uMguepYASXyawdCVC8Q1pnKQDzX9wDF4GEh8z8P38g1oLVddYHnHD53lJ//I8MDzG0iMR6QFsTYZiwtqiSH0LYHvele9LO7wlCsRVlJm5yfrys+fK4VZxY1ZjXXGwF2QUIWYcqlptCtRLo0DmzG9rbhotrCE8xUA6xpPiBZIlo59y1NPPXkwipOf+wdl8MX5E0zNbN7xxc/+xdVx/wyB52OMzTpHLAIzwp5auqhaZdOXtBGZe8J5dFz1hIkKU5RZydLqtiVri9GbKu/j9GRWMShdE4CvHLADzxbVgzVfZ7o5oV6LmGr3mWh2eWhPys/+6TqeOLSB2QmP2bpmomZpZeCu15ydmIO7HmpqQUq7GbPniOXux5sEUuIrkwVx5aKfL9+JVqTG4xXXJ1x8UY+Dx+rMNih7HSNNf5ixsKfwPN91OknnXV+5A379B+b5uT8x3PvsLMOkTqQlcWppZDXcoY8DuZevXqbobZVKFyuckqICcFEBeWWZXAVyOwrwCrjzz8Zl54hDpitgr2j2XJZKCZ7yOHDoJHfe9fDVP/Fj37/j8JETRy+8YOtXH+Ary6cJa+0LThx68Hc85t9c91fcEMgsgSEFWCmQRjqAGYuWWZQtXVo2z2qaPLtZdUnGQF1lh1UMQj5QYg1wC4tUuS1YDgjyM+YOPIPvG0LfEAYptSClFsY0ahHTE32Wun2+/Az8+v/cyNMH1rEuA/dk3dKqC5o1UXjlznkxjr0DB/B6GBFrzXBQo6bcTSaFGKnkyxMpLtD0nJb3IqLYMkhEBeCGINAEvofvSzylUNIvAI6Aay4U/PoPLfGbf5XywPMznOq0GTYlk9rSSi21bOJA6NvM+8+dFFuwdy5VirEcBcBFJlVWYTwDeXVltYU2HwU7I7KzWp5rxoGdGwxj1/30uR5HTiy++Y4vPqBfcvOL/u2Ro6eOXLBj81cX4MPuQdKoflNv6Zm3poPnmGwHI/+ee6XSWFSWDDAy87XVmLVkM5Bnz9bkCRtbyJC1wD2uCvOL4MY9UFQqyhzcyhYDglwXvsnGTOgC3GGQgXu6x9zSgF/7ywafeHCW+d4UsxOS2VoG7prT3Y0ssKyHkkZoMwZ32rsWxkDMXU8GLCUBMyEj9diI0RVKa9f80A49XnVdn4f2xnSTkInEuC722BBErlY98BzAPWVR0kdIl6DBwmXbJL/9Yyt8+qEBv/LuDZyYn2Iw6TEZCFqpoZFCmLjRy4FyA438PNCUogiC8+dqoF69MYUoekVGpEreKVSuuLaizbPXJivoGg9CjR0hOm3LEt7yNyvue3Q/kzMb3hrWmn/Z7Q2OfFUZPE27KNW8ZPnMF3/cDh5hqqXRNikaWXPryNo8ASBLrWUFRssS4Fl2rAD1GuydR+qVeLLkjZEgyJW/5n533qwsM2niSQdsTzlw+54m8DWBn1ILEsIgoVUf4Hl97nlK8+efaXP7feuJTZv1bcG6mpMlzgLMfXKVHSJj7ip7J3hexP3PTdKPPTY18u8zzuC5NHNlpDVfcfPlA1LjAD5IBMPcDYndyDXfyy1OlQHRZR8d2ATrJgXf8soerfAU7/7MgC8/N8OZpE6/JmmnlqZnHci9LA5RNotLbAbynCRESRZjLF6VLLb4nzGAV8gp1+SrA9GKXLFjgM8cptKhcbiKEo9Pfuk5Lr/i0h//tn9x2xNLK4P9U+36/z7ArX6W/tyHUf7UZqLnXl7zTyKbLZJUF0NznNnvwK6MwBiTgTxjbpVLElF8YWMqASXl53lDcClJKrSRPwk7IkuEyLNyzr1Rkqxh2RTM7StXixH6CUGQUPNjGo0hQdDnf97h8Rv/Yz0H56bxwxobW4LpUNMOLc0QmlmHfT102c5alhBy9Ss6WwmcPJlf0fTigEApAmmLADP//payvEBnBUlx6lP3h2ycHLDcbzFIRDaWwcUKvq8zm09ldqdyAB8JXF3l45tf2uOGK+b49fcNef/nZllMm/RDn6YvaXuuBif0IFAUzRBenvTJVj5ZSJUyAZTZ+LkwLNBdMHnleXUAWmH1jKXHXZccG7oK+Kw+PTUQaY+DJ1b4xJf3vHyul2w+O9/d/9BT+7n5RZf87wE8Tgz+utdekHYf+VMz/DLNRoKKPbzEJ8nqr4smg2wjqJzBlanUMhhcnXYV5GPPpSyplLpWHqLC4EJWGihygEtbDOcsmVtnIE8JPCdJwiAi9AccOZvyZ59u8rF7Zzh0dop2w2e6BlOhphXaLPWeg1tm4JZFUqiWae8wcDdOuxnx0fs99h+tU1PCZQxzB4US5cUYB+t0eJJ6XLYD3nhDlz//7Ay9hkc7cQN1wjiLG5TB86RzPxQVkPsVNnKrwvZ1kp/9l32uvvAEf3L7NIfOTLCY1un7Hk0laGRAD6R1N07mMhWrX9GYkpEIpVxxf4Jd0yfPIb82wCuMnEuRwlGiALcuVnrXeJEaGGpBVwuGxnLXAw/zulu3/+lbvvHFrz+30PlbpcpXBPhyJyYIfT5+58Nbv3D/4Z2i3+dXv18jhWIoLEq6WmCtZAH0HOCmUrvg2FpgrBkFeCZvCtauANtmFyzX2gXIRQnsYo6KzAFuMtckZ2+N76Wuc8dLCcOIwIvo6ph3fijg3Z/eyMmFSYyqMz2hmA4sE4GhkTF3o0jfy6xOJZMmmXdegDtw2csoidl/IqQXh0yFmYuTJ51yV6KyQhU1KYlHu+lx4dYYFQ7pxi0GgaCeDdkJMnnlZxLFy10Poc4TvCpmJ/r84Jv7vPUVZ3j3p1f4s4/MMD9oMvBq1DxFwxPUlSVMrWNz6aSKJ8vyhjzLuYrJK9civ1jV4LMaO40CXBQgzz/LGTuvDdfWVYumBhLregL6WhClKegB/+aNR3j1FQ/unAxqW3dc/bIj1sYIEXC+x1cG+NIcnmjNTjbqH/ofHz/gv/rFE/jBGbT2MNZ1yQtpUFqijUJLWWFsWQA8rzG2xR8oKowtRlh7rOSnZG7KfspiAtYIe2dVcko7gHvZ2Ak/oRbEBH5MZxhz/9OS/3lHm4/cO8NQtwiCgJlAMBkYmoGlEVoaQQnuWigJQ0mYSROXGMqciQzgge8yn4dPW778WIM48QmbdlWAmT9Ke9SdlzhR+L7Hq2/o8oEv9Nh7osmg5ua9RL4lSMFPDH5sUMrNaXQyQpbDfagyoitfbYQeGyYH/OQ397l8e8T772jx6J4J5gZNhirA9z1qnqAuIcwGLPm5vSqzeiJR1eOjRVliFY0X9295PW0uy0ZZ3BSrWC5ZHKi1da1zsYHIOICnRkM6hLTPzk2SMHnKT5I3fWh5ufsik67M/b0ZfOuWSXnu9L6blk99ceKaC+aYqsdIDEol+J7M3AsPLSWqqrutLAGds7gVYEUF3KMAz0/KSA4+ZzxhkbhnUaSUTVHu6XS3xVPaAVzpQo54XkKnl3DfM4K/+GybOx6fYLHTQtZrtOqKSd/SDgwN39IILPWAjLUdc9dDSS1Q1AJBLSCr0DMZuA2h7/S38iL2nYCTnZpLrGT6djRxUgLA9UFm1XdGEsceG9qCS7YN2H0spZ/4bkxDAkFMNipaZxIlT9S44aTVRwGczIZMtKsPf/urB3ztjUt88Yku7/1cm0f3tFnoNujIgF7gESjhmsAlrodTWjyRxzVZ0k5kZb9rAXwc69WAk1EjoQpybV2xVq63E+uYOzaQWNc+h47AxGAN3aHlkb1D9nzx7onbbpE3XXX5zs/yFYYHfUWAJ4PjYbsx/KMX73y8+ds/cpxhmmSVgtp1ewPSGLR0jQfGSJQRWCuLia0Fg+egzuSKrTL2SIaygu8isHTau1qg72SJyTS3QUmNkpogdzNkwlw35Z7HPD5zX4tPfHmCcytNRK2G3/JpezDhu06euk8mO6AeiOyQWclpprsDQZizdw5wLyUIUmpBjLUJdz0ecvR0nXXTAl+actTzWDc7lqL8VGeSYhD57NggePV1fT72YEwv8RkkbtRGkDoWjxJbWaVU4Vcj5IhMcYcsGhVc1tQNOX37Kwd8zQ0LfPzeLp++r8E9T7c412kwEAGDwMPzFZ4Q+FLgS4kvbCa1LBKRSa6xwqyqTKr+jeMAR1SAnVmlNmtisYIke63zAU1Wg0kycKcgBO+5vcnSsIYxx5u7rrR/9Nyhc5cDg/9lgC90DD09+LZo8a7J9TOH2bYlBhJMJJEydf+PwiKMQhpVMLgb1SDxCu0tR4rn89eF5mZ1o0JRfF/YUxVgC5M1DxsnjzI5EngJtVrCMNLsPQlHTik+eOcEn320zbmlJvg1vLZPQ0lavqXlGeq+pe5DzXfgrvluJqErM5WVQ2T/bjOQmwLkge/a0w6eMuw+HILvZ8u8raToR9OCVaehbBBw45yvujDiiq09nj/ZYFATNFJBmFgiRWbtmYy9czcltyBLrVL47Hk+wmTd7anPMPap1yO+63URb7plmc8/1uOvv9DgyKkaz59sEC+HpKHH0POQSrp0PtnvIys9zkdvkI+isKvZ3FZWq5y5KRnbva44KjiXxfnDGkzqnm3qXqMBywNP1gCfupzn0d1PsG7dV9494rwAX1xeFnES/+gfv2/v5MUbFDddKrnhMoX0nSNhE4OMDdoojFEZuFXJHlYWbG2QFWYZ1dwj/lmJcMpETnYb5KwtjBv9IDVh6CapplpzZgHu/JLHwRN17n64zsmlOgdPNSEMUQ2PmqdoepamZ5yL4FtCz7pqQp8MxPkhs0NlACfT3Bm4fU3oO/Z2N1bM4TnYc6SBL0ftwUKiUNaDF4FX0UCQ9TSmPlfsGHDJ+j7PHErppz6tRBB5EGQzAVUF4FIKhJQjTA5VjVuRQUXfpCLRPpEf0K7HfMdrI1569Qonl1a465GAQ8dDPv94g1MLNfTAx0iPJFAgVRYsO2tFkmU8Ga0HGl+Ic5CPShVbeOfZclYeZAVLNgO10Ti9YhC+RoaWGy8bcNMlCS+5+IvrXvM1P/XjP/5th94hg4vW8N2+AsD/+H2fIUk17/l4HxNv4MKNPa66KOblN8RcflHClinNxRck1GyKTjLmLoAu3O7Dq4Cdd7xX/O21HkXEnjN3RYoojR9qEm05dFyw+5DizocbPHM44LnDdVaikCgOwQ9QbZ9QCRoKGp6hXvGBQy+v08jLZl1deJjJkiBQBIHMbgBbam9fu8yi73R+LUiwJubsoiSyoZt+Ky1exWYbr+vIQa4LS9U5UHHqI/CYnY6Rakgv8el7wjkdSVkw5ikzkoGUohLF5sOOcNegYPJK/6SvVTF+oh8FbJyK2b4h4fqLIgbxgH91uMMzRwLufKjG7sM1Dh1zswVtqNBSgZDo4o+TFWgLzv/IdWg+u3wtcGdlhDZrIE8MHpqdFyRsnk65/KKUV9wQcdWFCTtmBTr1m8tn7vsWhPeO/yUGf+zhL3L8TEe956NPCW01Kz3JU/tr7N7v8/kH60wElu3bEq66LOG1N0S86toYrEuk1Bv55lESjEAnspQpRVMrxevq3y+E+6OFdHUjZHIkiS39oWP0Iyckf3VHSD9RPPlcjQPHQ+Z7AZEOwAtA+ai2IpCCuoKGstQUbpyZygqPlGPtwBcu6VEFty8JMlkSBhAGZK6JS5n7niHw0ywjmlCvxZxb0tz5QItON2RqQuBlXnxe9LVWMJY3EBQBoZFEkWLdjOJrbxny+UcHHOs0GfjSyRQP/NTiJ7lnnXnsUme7YVRnncjidxjrVX6HA3qgFdpTpL4i0Z7bKsVLCf2EZpDw0qtSbr484i0vH7LvuOSpPT6DWPH+OxscPuODkPQHHjpWRduU9SizQWsCvQLqIsdvEKlFGIvFgbze0Pi+QWB51XVDXntDxJWXJezYmjIRWNa1NRKB1T5n5zWnTxwQc8Ob1O2fviN949e99u8GcCks2ze13/kT33D2mtdcf5hf/PMGc8seRijmuh5zFg4vBjyw2/KhOzWzUxprDdftSnj7a4ZFXe/shOHaqxKatRz0Is+2r0XbxXCeTl/w1NM+CyuSeg0e3uPzqXtrDBPFMFGcPhNghEdifYzwwfMQoYcnJYES1KSllgE7VJZQWVcD7mWer1cyd5D3ZRbgVlmPpijYO/ANQZAXaOmCvYMgQamYLz2h+NiDLVTgObttRH+fn8GLThidOx6K4dDnTbcO+MT9K7z/rgl6aY1mpsP9XIcneVLGFt1CQsgCYO5XyRH3otownGpJ6jkm9z1F6nl4qc72BNIo5QbpT9VSbr005ZZLE6yIeNsr+wwTN87tk/eGPLInoB4K5lcUTz0TsNKXmUr6CiAvdp5wrYHXXhuzblK7JgdteftrBlx7SYK1MDulmZ50q6GSGSEkAivg7LLh596lmO9wzQ+8feKdCH7w78Tg1s4DM+1zR/7q0g3+krr04h4f/ILinscDrK+KgdMGiCycXbacXXLG175jlk99qe2qzLRlYspw0zUxrboreD+/JslOSuY6LPcUj+4OWOlIpKeIjCSyXrbrmoebC+yB9JBS4kvhwCwtoTQE0gEhUBCockafA3k5Jtnt8SOLxuMquB3DZ2W1fs7gunKkhF6CtTEn5wPiqEY4IQmytLfKqvJGsph5Rw9Ugm4ou9MVceIz1VJsWxcTiCGDNGSQCuqeG4KZ15DkCS0lq+Wtsvhd7nfkVq0ps6fGZD2TpTRKU53lDZRLkKmUJNWoxOUSPKWRMmXrOpOtGIbLtw+JbR/pWTodwaO7PZb7ElUoltGgevRKu5LaZs1y8zUJE1PGSW4E9SzZ5CStwmjhXJbK/68IUp494vPROydor9Nq9+H+pT/43f+i/fS+/so1u0aDzlUAP33uDIiFd6SDB15pOcTeg4rT8yEoHzL9Vd6hlZQVlhRLx2YaS8LKsuX0l5qVP7H689UljZHlzQqBybdcIKs5Fe53i3xTKuFSzA7UWdpZkm3cmvvGlWcv66RXZFvvUYDbtXW54fphIAg8ihJTx+AZi3uGIMuO+n5CGCYcnze87/NN8AJ8KcoAs5Ana9RWVwKuPG/gwKbQ2oH82792wMfvGfDc2RY97dNI3aa0rgrQlp04Ks8JUHrUolwtnRKQlQKv/DBFLYznKXzt5qX4GdCVLJNmrm48ey1MNjhI4wmDsIZ1DcPXvcS44Usiv7amxEj+WdUty19rhUm9Ii7TqSS1+U2ax2kCm3luQhhkKtg8Y7jq0g77Dlsef+apVy4vXPOOQKX/5m9l8J/9zU8hhAzmTs+TxJMcPFNn/6kGNvALkK1efqr6ihGtpX078mPViu4RYFf1W7HcSoSURROFEuALN6wzEE4KeBLn1SqymorsdV5I5FGZg5KzdtlVXwJcFrIlDGzR0hYEpjI4J8XP2DvwEqSMOXpGMLdSQ3geoWREnkgxdg8XZ2Us8WGqgaAiTn1m2hE7Ng54/kzEQHsMNYRa4GuLn2Y6PKVwloqcgVCVu0lU+illOU+m+H0CrQ2eNmglUV6+fbkqdteQymQrhTtya9b9TptNyHKOmihmrFTdL/cFVhnBWQFd1TLOgV/NhI57M0JYtPG4aFPCH/2HJQ6eWmJ2uss6mQQmWJ3vWQXwLz6xiJCCM8fbDAb1fGcmR0fIVcvPSI52FeD/Do9sD8wS6+69Enn2zIHaE9Y9S1vUeOSvi8/GQJ6PiPCU21zK88p5KA7c0j0HOdDz4DMDd97945lCovie06dBkJCS8On765ydq+NPKIJqDUfVQRmnhJFCJDEWBCqGkZtg+4bbetz/9JCVtEbf86inhjhLpytZFkTlBWdCGMrOoTzQHMsemmymiiWbciDwjCBVAk/LbBc7V8uTZkAvk2mmSLDJHORZ2W4+Cq4KblGwuT2vIq/axNWfGs+NVG4NhLSkacAFGzWXbE2xJKTxkSzq+AoA/+333slUq/aSP/zre284N9cj8IMRQJ//V47iu1pwM/qTY8U6lNVqsvKsyAILQVHd5savZY0Motqxk41hLmrAR4FdzEFRjOzSNgLwPODMdbeXyxKb6e3RWvLATwj8mDMdw+MH6uAFeJk88SoFSnkGU4wh3GVxbcnkhsIPzz3xJPG57uKImckBnaUG/VTRUOCn7m9R2aQwlVQBjgN58YtkWV+fl0UYW0ypMsqgjcA3whXMKYNWgjQDebV4LS+HkNXX2cpRMnmZkCvKmkeSQPY8GFptG39lG9n9zmGce+kSr7buhsa6N7ykc/ob7pvY9A1rA9wmMf2e/bq21Nc2bIwf+kWWaSSdPg7mcYCf52cLESJGX0vsCMCrI9ekKFkxB3zuMedg94oWtRLYSjpZoorulRLYefOtY+9Mc3sUeju3BB1jl+D2i+rEBEHC7feG3P9MCxl6BFK4+dtFBWG1Xn01RVQDzWqBmjZuwOVg6HPLlQPe+NIuf3Z7i1iH9LSkpi1RWrmpRUWmSJmxePVXnY/JwXh5Y4oowK2VRCnjGF3KbLRECe6SxctKzrL4rQrwMlEH5fP46+oJWQX/8xTf5eyeW89aJ9SEd62fDL/OGnNf9WcLgB84fIKpydbXvu+v7/yX/aVzzDYEVpgilVrUbedXZw1grwXu8V0FxNjneUVg+boEel7zUB1toES5PCtFweZe3kGv3OsRFs+6YXw1Cm43TmGMubOezSBrb/O9vOEgrRwJMQl/fVcbbUNUkb2sBphlX2PubIxo8JzFi84m6UZp6DzY9BD4vP1Vff7y0xHLJmGgawy0wE8pWFxKN2BJFiwqswCv+pAVa1KMVPNpL+uAVxnIPVfH72nH6EpblJJZ9liW4C4syhLcJchHKz85H4ufzy4fo8VRNVAmDXNiSHVAb9jFhtG/3HTB6+7uLp/4fGty6yjA4zhhMIguHvR7O5Nhl4l6QJK39Y/V8BbAHo8fGZUm1RkbWRP8qn8rGW608k5VGDCvZMudiSro85mDrotHFFo8H40wMuwmA7anROmkFHag67h3jck2Y+4ywPQq7B36MY8fkOw/VcMqHyUlgTSZrKpKlHKpWlVaOqLBGamdzx2VJPXZuTnhiot6PLivTqICBqmgJt00Xi8VmXzLunDSTIcj3YSDkV8pKiwuKtKo7KjR2URfT5lslqSo7FcqK/o7/52yLHwTIArAU4D6KzF5jgNGOz0rgWYFW1ZU5FZlTmIWmA+HEbWp4U5j4ouNST+/isEXF5aIhkPSeEgjcPaTSrMa3eoItcoXGK8cE4yxN6tBXeQwKww+DnZZvB+bvCSruly47vkc7FmnS8HkshzTVm7/nTF3ZfiP67anAHaRrSyYWxN4LrHjuoISLAkfvqvBwkIdEXrOd6+sLKtqUKonpFqTYUZZdcSbNook8Vg3LfmmV3d5/ECbSNfoq4C6dlo8L2dVkgzc+VphMk88L8x1LF5tKrEjjd/lVKp8mKYyWTwh3djrMrEkswDTjkgVd93kWM3+KINXr3/pLJ3fjKgGobmjUpYDy4y93TzyQSTo9RNWOoukybD4bxQA/+CHP4FSkrn5ZdoNj0RnrKpBi6wCTOYMXnZQf6VHfoFz8Odgr+4TkweZRTkso7uCjToFZfd3deZgAfCCxfNBmxLljQI88LIBQH6+dWCW4fQsfpGKN9lrPXJ4ynXuPHcUPnRHi0gGKKmy7OXojTiewVzDWC0u3KgOz7S4VqTaI9Qe3/TaIX/x2T5PH6qTKJ++lATaZO6RQGo70ngtpCiA5R4m+12j+xZVmVwb8AoL0eJpi85KApS2xbDOohFCVphb5GUDdoTBXaPH+Zj8bwd4SQhi1ffOV7o0lcSpIk7h2JGDnD69kNW1VAA+P3eamXUbG7/7+3984dLiIqHvEGiKfIxFZF3zpsLY4w6hWOMLjmvu0RJYRrT3eGBWXeqr8qQ6DllWGDsPMvOpTZ6Xb/KaaW81Bu48fe/njckm2y48B3fe05lmR4LyY/af9OjGASgvkyd2rDx29Qo14qJU9LAd98Kzbpwy8ePR9AWXbhny9P4YbUIGJqCmXc22l2lwJdwQS5dYynWuIQ8ySyYvS5jz/kivGGzqPlMGtHSAV9nuFNKUEwJUEWDmoBblyI7MCy/a3L4SuCv2YU6CuW8+EpAX6ZUS6NUCsiSRRLEg1paZ1vSFb3rL9zZOnPzO/tYtmx3A5+bO0u+tvPaiHRt++tlnnsP3BYnOxrHZkmmr1pb7GmL8u+QLSvm6wmDjvnCV5UbAzeh8jnJ2XiZNZJXJszFteY20qoC6eJ0leRSZF+7A7QBcDgXyq/Kkyt4q6+sMYha7ht//mxYLgxoi9J08kXZkVSkH55zPWq0AHVc2a3MCKRjcOSpp6tFuePzwN3T54uNtFqKAWHoMpCTI0trlyId8FRRlg7Yw5GW0FpOB21QqPcsBml42pySf5ZiDXUmRMbiTRLrC3jmTF+2DgsIbL69rlcxs5bzYERIceV2hzWqfbimvKgP3reuKWlyOmd40/dPPPrf3vigafLxg8COH9hEEAcvzJ1AyRWuJtaVWVrhzlLO2rV6hKmGPXc1Rxq4weZXdGAe4qCy3JehzIOfAL4AtBVKV48dUBdSelHiZJPEKgOea2xRBpe+ZAty+l9dfjLK3rxKCIOaDd/k8e7AO0kdKSZiXxo5Zm7JyF5+3mrDC5kVDbkWmpMa1nKWpz1U7+7z5pSv8xWdrGC9kIANCKYqkj5KCZCTAG2VyUWXyPIYaaURxg1GVdauCsW5Yaj7b0bG6oBwrUTJ4FdhV96uQKxWXrDqHfESTj5HhSFVenq6vJMrzQVMWd959Bb1Byr4DJxhEgiRxWy96ADu3RTTqll63z9IgotOvIYVjayFBmlHwrpnEqYhtserLVkGcO8J2FdOJSgeMO2kCMcLaIKQoBtqvDXBZAlxVaqi9rC7Fp5AivirdEr8yHKjU3I69fc9NrVrqGD75pRbznRBqmXsicnvw/BKFSh9jlZzWtO2KqQTZnjhakaQeU23F17+yzyfuH7LQC4mVx0DLzJ4UmXsjyoBPMrKakrF3/pEp2Ly0gb3cWVHZa5m9l24vJcfeFZBXwC6K358Dvdy2RYwBHKpgFxVytLlUQKzBCtXspsWBXOAy15OtlKmJPmeGMWbBw2jtAH7PI88zrM1ccPfj9/3oRz97giPHPCZ8VwddXKy/4/xxUfmfanA1zthkIM7Z2f2BlWEzEiTlMMgqc+cjkauzv6sdLm64O6Pgznc2yJlbVZh7FYPn4ybKkROecpnLw0cE+47WMIQI6RXNuWX14OhEqNLVKJewai1KyeQV66uyLUjRbqY9sB6X7YjZuWnIwvN1rA4ci2snU/Is72j3e7XQKxPceRktZI0GohJ8gpGisA6rsY3KgC6l0+d5HFQN/kUmWYQRhRQpgE4uTwRVuZKDRGAr5OdKYr+SvCswl1mWtVBz3WUDVpKn2XXZth+96NKXPfnv/tVTRzxPWHwZbeyuqK999IkBsxM1EKYohhnxsvP7bZXmHgW4GHvNOMDl6DCZ0WCzHB02AnCRjUqQVZBnz4psFHDVB68e2ZbWqgruCsiz/er9rDQ0Z2+Vvfe8BKUSPv1gi/3zdQhKeeJXrMuReILV4yJWM1J1QE4lgVHd3Swvo409LloX84Zb+jzyXAOMT6qdFvd1NuRTj0qlAlAjJm4GcmsrEqUiV/JSVZmtKjI/3MhrmWn0Auj5amrsyGovitVEFNlqZBXoJREWn1UAJSoSZeQUjhgXpRSz1hJ6Ie3aCq3Q+9phV29ME3XEC7MCpYmaYOskhDWTTURdHTBVGXk1a6/9M+WzqLB1FQSitAsLoJRTTov3Y8AuTqwSlSbcCriz2pRy2w5WA9srBwQVI948k4E8dfJEJdQbMQ/uVXz8S00GwwAaHp4U+GJUmqw6X2L1+RoBOGP6e8wyrPriSeox0fJ4yyuGfPb+Pg/vDbBNn4EOCQTFjaaqsqCQBBX9mIF8pLAJU95gyrG5lk6PG0kx8joPOE2hvTOg54mmMYkmhah8D4EwtrjmYkybl2C3BV7GAV38fAXcuceeaslKPyRJBPUNNcIJRRJ7eFGcMIgS0lRntllZ/6HkaoY9X+A4zuDFFx6RJdWgUhSed/FeVDW4ey76DisSJT+UEtkc8BLcJcjzslmL55UjlL1sEyZPjQLdL9jaHUq5ADMIYpJY89kHGjx3rAG+j5AqA1VWH1MJLoUcvYFHYpAKsgvWznMK1TF3tpwtYyp2YRx7XL495XW39XjqSJ0oDdDSZ2AUgWbsu+ReOGMM7p7t2HdB5TebwSiByi056Z6lLLOeRewjQWZ6WZnSMhy3eotzMkZuZN9RFicmx8WouzJCsCOrfcWvy/38VGKNxtoIa2O8P/6L21GeYqWzQuB72egusXrZrSy5JZDFml9k1UWt6K7ivyHEaEBWOTGFRShFRbI4TV5Kk4pVWDB2DvBycmohUTLmdoxtC6b2iufytZ8Fl55KCIOYZ44KPn9/g/4ggKaPFHnlIBV7cI0sZuVGri62eS2KQ1dWk7JG+Ww510QV3T6tVszrbo34xD1DnjoUghcwNJIg0+LKgNJVJwOEzthPCFd3Uc05q9LJ8RSldJGOzfNVJdfcRoK0GaMX1yWzDk2VxW0Zi5jyfMgxoHOe16sxtNpxM8J9F5vVuytjkdJn4fTDDDrPorXG663MIYUgSVLCQGaT/sfuwBH2FWv+0tG7S5zni1dlihj9oytypNTiVYkiivS8FGU2U2Wl6vnwSK8ouHJsrYr54GPgzg4/n0KbFfh7KnWHl+D7CanV3H5fnS8/U4eaB9I1NPt5mrwKasaO6pu1JEqlLryw7bIG89xRyYea5kCPhj4vv6rPG17S59mjNdLUxwrFQHj4muI7CV2RCCO31momr874Vipnbsfm7r1AGoGRJdClrLB55gAVwK4Av2RbO3LNywSQGMPPGp8JgFE9X2ysm60s0rg4QWiYXxyiOikWi9cIsxYwqTGaEZ1cOBpjgK3KlbXmR5/v36qMJgqGHgW1qIDd2U4Z0FWpycs0feVQJbjzXR2Kwys3Qc0B7VdAnTsnzjFxz0olBH7Ck0ckH7qrBQQgfYRQ+EVyxxbFVaNkkF+gQqyNAYyyJoWxoqtqCa12rXuuqEgV6XtrPd7+qgF3PjDk0YNukkBiFH0tyjp6QZbCF8V6UX6j8rtYax2LV4Ce/6vMQG9ktp9Pxc4skloV2VIQU8HYdkSCyhFgV87TKkyNy9rRm8PkaiAHd/6ZBosktR5K+Vhr8ephNkDGCiI1+h+WY3ecZO0AqpAh1TuuyvgVBqfC2GLV7xHZ69GkTs7kxZy8Ksgzti43m8qq34oB+CW4R1i78pw31uZSRakU309JdMrdD9fZfaAOvg/SBZeBsJXJsRUGl2L1ijcmT0qJUr4oSmfHai2KYFNLjMocFe0RxT5X7hzy8psciw+0Y/FIBAwNeLp0MKTO7cLckqumnstd68atSyVBKvedlMVlP63DiRJutZEZc8qsQnc8OSfk+cE+qsftKF6yr1cmicZwmD3b3DavYM4YQWJc767F4hV/rHA8I3MrR1YvXvUX5MueqNxhebQsVoG9XA3Ku3WVT5yBWMiKPClAPlZNWKkqzDeYylnbAdxUgswyoMznhXsFqMsJtMqrADyTKIGXsP+04L2fbRElPjT8TJ5QtKap4qLZ0Rt7RL+dR6KMlR1XZUqxOUDhqIxrcY9mKPnO1/W5/ctN9p50N582ir5WrspQi2KeIMIidDaWQ4+uJDYHeoXBHaCtCzQzjS6NxWbXyEqBzGSLI8fsGpkKwDPQj0jQihYfcXoqsVyVHExOipW0v2NrUZFCJcAd6LNYSAmwoH7+l//bhsSo/2/f/iOXCWErGUJGvebMknP/0XKErxLZv4uKuzHiUYusxDL/TI78XJ55dDJJFOOBC+CqcXekGkRWAkmvlCNlcDkKbl9ZPD/PWuqxzGXZzOB7MVrG/MWnGvzl5ychDEHVUMqjoSx1ZbNxFBQNzn6lNa7MpFYTUZJyMiwjAWoZS5S2Y37TCknW+DvaLiasYdvGmJPzksd2B6RCglAY4Uaseatip9WmQO4+5OtLXlskbEXU2LwtbO2bYVTDu6KAaglC9Vg9CH906plBjMUklbR8Np24qGItJqWVpbT5jVUPU6655qqN199w4xe8UyeOTQ56K68fRjGthl/8UNVvrurikUCzGjCOBARjjF/InvFt6kZlSqH5RzJk1TpwO6K9ZQGGUpKoivZWxU4PtgC6r1ZLkvLZOSe+l7DvlOQDX2zg5q849nbauwRnbqcW37eqI2GVZHMUs1p/u4Kram1IOVfQZmPwdD7YVCu0yrS49vjmV/f52N0N9pzwQcZYIRlqn3zQVLH66gzJOk/85GAt4a7y7B42098Ze1eei0Pkr50fbk3mj5ss8FtlIqx+bWBkVWcMW+X5s4VkyTFkhAtcjXVkmAehUkCaRHQ6/dcbTk96wsRIUnxlR/zvPEMoV4Fy1EkZDarWADjjYF5Le3+FGvAC8KXOdptN5Rq83Cqw6D5ZBe5SlqjstVIGVfG7lXKHp1K0SvnUfU327C+1txASX5C5J6Nd8+O6e/R9HmiOqJPK69EG5BFPvDKRysuL/At/3EmVyy+OeNNLehz8QEisFQgPLTwGQuDpfOxxHujmjoqofIuyHqSs9RcO7NYJ3fw75uBWFqywZYpfgJEWaYUDnhmVuDnYi2BwjdXFVF7D2M9kJGnG9maSwsUBhdQTFmkgNpJez2BFijdMIU7LwEJVlta/C8BZZRuuBvIoo2fAZtRnPz/AS9bO3xesnbG4VwF2FehVcPvZXG0v3wFCGTxp8GQ+1MaB3fcTDp1W/OFH2wylAzfCq3TNZ+dJlOWi1b+tvEJ8xcfoNomZm1FZjkc2D8hS91pLUiVRRqGNR6p9Qp3yb97a42/ubnDwlAcqAeORCJ+BEChd8aXzYDO/WBXRkXvzuV2Yg8YgULhzXZUbjsGN0+JO5hdlAkYIRMbspkIARog1wT3+2ZquyipyzP4mSxErCPJmc0utZmjWDV7R+CHGtKOqWHUyA64cDwhGX68N9DEJM15xJ87P3KLC1HkiJQe3y2Bm/YH5bgqyCu5KUJnPER/xuyuHdPLE92JWYsOffaLNyXMhKCdPhJSlNViwR8WOO8+FKtuN/xagF4DPGw+qPZq5Zi3Zu2iGkAqdemyZjfj+N3f59fcGdBIXEFgriYxytqGupMF1obZHQF58meq3zRJQZN9NyZLNrRQYrLMOM7lihZMnovK+YOdVq92oClgrkZPLklWAz6SyzFwaI23m8FBktgGsEHg5e4a+KAZRekqO2HRCigKwVZ0E1btu/AtXHBKxBgDyP7jC5NUsmKpIk6LRWJU1yJ6w2XtbsQpNRYuXgM7lSCFRiq1O0uLZUwlemPCR20P+9MNtIuM7eSIUUkgCweqm4jXS8qUsq3x4HojbUiVUrMKqPq/ucVTd+ygHutsKvOal/ODbeuw7GvDuTzktDgotJEPjejelpmDwsgArv1glY+cSJWdqZUvJ4qxBd5MbW4JYZgAzwsmUonRWlhZl7r6Na/O1ybI8p3rsPZkEooIbJcu+Uuffi2KvTa8Wuk1Om9ne656qVO3lVt4ImLMvsmo5ESOAXxPQlc+rdlL5egw8BWuXHfV5u1Sus5UclSQju6xVNHeVuVVmB5bPbtbg4hL8zRcbLEU5uB3AfZmNh8tXEGlXrzq5xVnBcwHrKimukielVThS1ZfvRmdktvW5Ga0Tl06qGOORao+JQPPW1/T52H0NFroKZAJGkeD0eE4cOaBHdfgYk2NLuYIbxFSCnMwmdBODrbRFskXKijedJWFGCG4EFw7s+WovhV0T7GsmEfN/y2zJNLsuqXZdPmmq6A8UfqjwJpoeaeQxNeFTC71SjhR3VyVJUPyi1Vs8r3X3jX++VjRdFshXAT+6NXdZ65H1BRa+dyWwLKYwld53weKyZG/H2BU9njsnjZTbv1Tj4d11TK69ZdZzKXJ5MlpvIitBz8jfK8b+9vOSeMaehTVWSpTRJtuSzV0KX6Js6Yun2sczKTdfFfPGG/u879MBqBiExCKIhOfKHMi1+FpfpwLyjLnJ5wbajKXJ9K61bkCqdP8taR3Q8/8XId227KX2pmDxkZR9DmBhM0clB3Y1pzKGuwro1yJUmZX7LqxIrCfxZiYVwihmpxRCVgbEQOUGF6tPyJguWvNOW4PJyzrlsaSAqALbZp08ZZBZsLYoZUkJclNxT3JwV0GdA1u7wDKXJjJFSTf4/eAxyXtvb3GmG2QllW7QuxKUOzaM35jj0qQq09Zg71UShfI8j3rHozNMiu0YR7ru3f457tltf7KhqfmuN/a4b3fIwbMSRALC7boxFBKJyKRKdg3MuAYfl0k2kynlEE8rswSQtM4vL82WzE2hqDC0FWDnrG2FIO+0l1UizWVTVfIWuMojBjtyPoX7yuV9mXn2UaRZWNIgDd5UyyBSw7pJQ6IhTcudZ6u1CYJyWRVjv2RkORkPCCqAXjuwLMEu88RGVa5UGLwAt6zo77HAMt8vs6q3C8cklyRS40knTYIgIdKGP/5gmy8/Xne9bdJz2ltK17Ujyvkr4/2Ha6Xmq0xePU9VrK/OYJZVhjnIRstnq2W0rt0stwu1NqTSQ6UeL78+5gfevsIv/nFAlLrkD0hS4TNAVOrF828xCnI7xuRunIpFZRfZZiCX1smy/L21ziWR1pbBpRwlgiLrmHWImRG8jGbHc1+7+q3OSxJFYA46Naz0Ypa6Gi/UeI0wJa2ntJuaYWyIE0Gq3aQja8rREbb6X1xDY65i82KpGQN1BfRV5l4tTyq6uzJ3Q8lRYMuKLKmCW47o8LI7R1beK5niByl3PerzsS83iGIf6l6hvQv2rujur1QSW7UJC7BXgvPxK1MtbCq2UxwBN1mqvMLetpwnLo2TKjnQ09Sj3kh568sH3PHlAXc+qpxtiAQhSfHoj6wwa+nx8vP8u6mMHq10O63l1YYWx8j5e9dZkzF3xvCmkCWVFLsdw0zO0tWG5Az01W86Qg7VjKpxE9hSY0kSS3dg6A8Ng8jgiezihZ4tOumlFGhd1YKMNHyueoxt8zwS8UKl4N2ySqrIUs+OS5Vy/oYdZfIRS9BUZMoouKtzrZXSSOlA7WXgDvyE5Z7l9vsa7D1dc9JEuJJYIWU2tpnKBKnVrD0KdDsG6K9wzvKLlaWdc0tupBGCcm/R1cOByhoVKRRSa6T0SCKPXRsT3vjSHg/vCejEWfrVOD2eCMWQ0jaUCNK82deMgtzVo2TfU+TBpnMtyh5Od25s9t+0wjpmtrnF7G6C6vXPa0zGZ+NQfS7+Z3R2yjhBmALgllRDnFriNJuDDniFHs6ygSa3YASF1VKdZjXym8a+zIjwry491ffZnV6VKONMrmSVxUtAF154UZthK1742syd78yWJ3RycPteikHzPz5d508/2sKKXJpU2duNZFvLn1/N4u4kjD6fB+MVWVIy+KgXXtSFF7Ubo1NonS+eOSvSBZzKGBLtI5XhB9/S58Apnz/9mEeSZiDPxiZHwm3Yq8h0LQUiR5ZsK0XBlEqWQLfZRASFswqRbrSfkhRgliLPdopsTkp+jXMZUu20r4y4GFcHlXNpK/8zUv9i3J5QqbGOmE1JzN5gKBhGboBKHrxZKCLe/OQWS6pdfb3GwT06B2NMlmQarBi2Kas6vGRu97kZcVDkmCwpGTpn8qr+1kWg6UnH3rlromSCHyQcOCP52N1Nej0f6m4vSLcfZCUtv0Zb2kiDw3igWVycUafpKzN4BfTFUWFvmc0AyV6PAD0/soBTSjfTsNVMecsr+nz23joHTmfpV+d5oIVgUP2muRTIU5TZRVbZ36GqcqWiw917UdiEudviwF0yunMnMyFUyfyCWLWyj4N6LcDZDIj5ZK585wqtHTGobHpZ6INnRQ1kUIAuT8kWWUfjLJ+qb7sK32L0danD7UiWjwpLj2rvak+jA5XILcH83wsmNxWJUg5oz8GtqsydbfEts5LYPCXveSlRYrjjoSZffKLuhoNX2FsKXGInd3IqM0fy71muVKPp5xw34m9D9iihjwJ97KDC4DbbimRkClamx7VQKG0wQpFGHq+5NuY1Nw84/hmfyDgdnlVCkeIRCeeQyHweX6G9S+bOAZfLFSvLHc9yoKvMMSkYtRKMF/IkIz1rnW51+YJRFi+xZFfhKj9RhYiwZXCZg9xtEe7OTb3m02qGeNu3bV6eP9v9bG9R/Ytu32WiVPZNhRFYZbNqsopVtJrAR/TS2hZhVhGWj/miDDRlocVHZ94V+luUzJ0Du0z2mBH2zsFdZiuzVLzUSOU6dWSQcs+jAb/xngm08dwWLbn2FrIYx5Zbg2pslakmeMTI3z+qJ6l8fl5k5xeryt6FXScqwC5nB9qcveVYAiiTKsK4YUFBoPmZ715h7wmPex6RmEBkLO4uSmIUA8ZsOCr6f4S5M9DnGU5JCeoczGQBZtUyrNR857KF3C8fsQnt6OkS5fcaR/iI65QDPZ+Qqy1W+Ci/9dmNm7Ytq6956cZeZ3n+YJqKH4hinf+Xx355ZXrRSCPEaFnrSOloJftYSo9KJjCbyJTLjWLHhmpVYKVasEjiVCWJGpUmrmAqqz0ZsQmzLp2s1/LEouA33jvBfU80oeY7z1u5ljRPCuqSYkOpfKOrYkcFOV7LXe3or9a5V6ZtSVlM3yoapivnanyuoSoC62pWd9SiXDt+scVUqVxprJtJCT3Lw08HLA/yaD9P9ciifnu0bqYQWWRES0FfI4J4rYcYYdlxQOb/7dUgzVeKColam93oNgNxNfFlV610zhO31Os1zp6b/64nnnpur3dq3gckwoInUld4L0pvM+/Ly2NZa8/7l1Ui4TENPrKDg62UUpqKp1yZZze2RcaILShMdlOMbquRg7vY9q6ShncJHQdyHWje+4kJPv6lJramnE+cVQwKURZVeWPJnfPag0WcIQqQrHHNV9lcdvx95qaUpbNi1UWseuG2IlOsHBszIRTSGITwkAPNW1854LlDPu94l0ccpiXAhcAaj9j1/RS25iq5InIvvGRzK+yoZZixuSmkCWWyp5Kyt2POSZG9tKUWP//KZyvgX50kE8Lt5jHdktTrCmMMnqrekJnWzDNNZCea3EUZu3Mt40tK+Tw+j26V7i6Anuvayn4vFQelTPCYVTq8un99weQy97hzWzDT4CpFKs0XHwl5z2eaDHU2BV/kh9vEtKg5qQSW1WGSa9uDaxyrrtH5tIqLztasC8/swmoJ7egELBd0aiOQmUQxxbPCCIM2HqFv+O439HjgqYA7n2hhRYrzxt0fYqwgyvotMTmZVbS4JNupOsOAyBwWkzkllNnM/N7Js5g50Mdby1ZhI2PIonX0PKerdJ5G5Up+hmWW9s/dJ6/dTBBCoNOUNHWyQIgczGKN/1B5R4zOj6t44eMgr7omxRJrR3R4PmNulMFhZNOjEdbOAV4F96glWB5OmvQj+JU/n+DQyRDrVdm79L19Ue7qVjSAjDsnjIK4eowA+W8R5NVMccEdFT1eFl9VxqyZfCDmeHbTOnCLnMUlQiiE8ZCx5qItKT//vR0e+KmQ7jC7EKb85gZFZLM/1tgRJrdFijxrhJAUoFYi0+w5gHPSH+mXLIGex1/kwXoV7NVU/dhZG3eoR6RM5aGBXl8TpwnWWLypqWmkVETDLr2VPlLK0ZM/kk6u3MVrpe3zQLMKcDF6p45sOJVPIa0MVM83MypBbtZwUHIdXnVLKjvzytImlBm4Uw1/8JEWTzxfKz3v/MhqTnxhK+1opT04no3NgU7lc/dH5XUX4zaXWON1+VHVRSnlSZl7cMGmZVW1ocjsQ1GxD22VxbMWN+EhjeW6yxJ++Bs7/M4HJ4m1xG2QXYJdS0WsQahRJreZhnCgdoDOHRWbOW2qALEDdVEPPgb03FnBZnXkGQHm99C4RBmXdmtJkyqzG2OZnW0yNdEm1RrvquveQBA2OXtyN/t2fwohw7EMZg7wfCkt/4OralJg1bKz1q5bVa1dBEsVoCs5xuTFvowVza3MGuAuU/D54akUr6b5wkMh7/5Ii87Adxkc4a1i77zeu2BsyeohSGuMPihYaA3uWaXL7cjTqs+q1uCoDq/urZN547bqpgiMlhhhMUJhtHWvrXH1KqmhXTN839v6PPZsyB0PKmgUwjlDIaSobAitmyUIAj/PdJKxt3HDOZXJ7OMswaMkyDyFnt/OppQmVaC7c5dpdF1h9MqvGsfWOLDH3xtr6Q8Sbr3lRm676Ro6K128el3gB5JWQ9Osx8SpXwxEd1misWi3IKLyW1TTq0WiZwzgBRNKm00motTchSZfm70La1BaV5dyPnBXjjwtL72U5494/OGH2hxY8LN97x2w863Jc/bOG4pHunWKw47KkxGtvcaODuL8AedaiR0KYI+ukrldl5OMwRZNwOVscVFs1W2tKbclNBIjFFq4LbhlYtg5rfk339TlyBmP/ScF1iuuXIEybSQRVDKbjpKtcb/fy1Vq5vhYivuDfMt1O8bo1eeyLsmWkiavYRlj8RF5MgbqcTfFWFgZQmQUKB8jfLwkcf7UIFIMY5ntPWmKoEeILFLPU/XZF3EUXi7VIx74WgCXVSa3I8FmEWCOed/FtnXifLvtmpGAMgd1UUgVppzpCH7lXW0+dlcD63uuDU2UvZZCiIr2dkumqtx0axfrl6vVqqROFejV5bbyM6vYu5rAGGNya8gGYNpCjticva1Ajjkq2ridzoyw2WuJEB5GW1IsvjS89ZUDOpHkp39bcXZZQCjIE0AASJ/UZLn5CshdQCkyFncrHdLtnmwL0GcSJWNnmQF91fySVee0zHhWJP+aj9EEz6hUCX1BzRfZ7tUCOYxDUt080x3UPq/FRqzVxYgzNWLPVcpE86SLKF2OaiJmZLNQVZa2ympqveJpy0rp6wgzj7sl+R7pq8BdKagqdHdKjOFT99f5wiMNp7uVKjR34Zxk4PbkmDwRY0y9pgMwiuE1A6TzXKRxpI9Kk1F2H5EoUFQWjujx6vtieJDEWJVVIZYVh8JKXnvjkDe9pE8gUkg1mBRsAjbNDkNqIDIQWUFsILFuW0l3CFJLts1kvk9OuWObyfZX1VZkz+XnxZaFdvTn3VaK1qXe8xLY8cOUn+f/zURn30MbLtk+zUxTfn6mXTszWVfIrdt3cvLwF46E3uD3N6yfJfAiwiDNhsA7MOWJhXJrilGmFbIE6HinzTiwq3JDVhM1eWNwcWOMZyhNNgBnLXDnNSYaJdzrVGg+cXedd/x5mxPzfpmtFGVgKTJwjw7SHO2Wl1SLrCi04yo3RWQafBz0q/TJaoyvdlLGLcEqyMuB9eW+PnJkClZ1vIStgNtkLW5JpNg2o/np71nhza/o45OCzoBtsqMC8qGBoRHERpBYQWIqwC5eu/f5awc4dxgtsoH+5V6cpnITrPV5XkRljHUrRHZUNyQ22e9JUogSQW+oWb9+I0sr0e9/4CN3Htl16SVuj55m2EXIEK+9QlP00IREsc8w8jBWZS1KFOtKGVBW63fHtHZFjpTB5WrtXd4spgwszyNP3Psya5mDWxZgT5Eyxfc1h+cV7/5ok70HQ2jmert6rGbvEeamnD24OnFV/hzVjG+VyccCcJHD14oSyKuALnDD6MdZPE+flwF/UTduXJa5mtaX1cpDKRFGoYV1AXUWdCaR4bKdCd/9DV0eeSbgyFzlbq7sHQseqZFYifO9s3Q8Eue0ZMElJrcKs7oUuVawmY0LyWTGyPnMTkJhxZY5ptXGky0ZP9UwTAT9VLLUVZxYtGztJPQHafknTG+4nI1br6ZrNrIcLbFx3SL1MHaNoDa3B6vLbgWgFedDydUSpSiKqrSXFbUlFeYu5My4RMmsQFm1/2T+WRXcud+dstgV/N5ftrn7iVpWJegVmrusGHSuiT8iS8a0d87elBdhXF+XAXZ555eBJl/xMeLpVujcMva+IlGKdDV5bFTKlGoBVsni+XuVNTC7mSrGeOi+5JXXRvzYt68w1U4zuk1LmWJSsBqsQRuIrJMssXEsnhhBYiuSpZAlJbuPMnzlqDRWFzKlKmUqIK42aReEIcpT1IkFhxdTZtZ3eflt67nxxS/iphdfgbs9gaCxhVpz+x1//sk7f2P33gt/+rUvnuM1L4JEK5LULX/jj2rR0agVWGXy878uWbyawTSF5FGV9yXAKz53DmrhDpkFl0Nh+eOPtnjXR1p0te+GBoqymMq9dtvvhaKsGCwkihzX4GPtdrkMGdPjZaAt+V96VMA9nmtYZdUWs/jyrGfZtykzeSKEswylLCWLECCMzdjcBZ7GKnRqafkJP/C2LmcXFP/9L9sM8kAzCybdlj4W8NBGEhfsnTUamyz4lK7H0poyh+AC4ixVlPvi465KtmGVzFg7D0aLyt18BRBlFkFk10rgbqR2I+X7blvgba9QbNh4/Dcmr9x1x+DsKSAr+f2VX/1tjs97iYnTS/RQfP3RUwGTzSa+8ki1HGHwsoa7Kkcq6fWcAUdKXKkweqXYSo2m4FdpdJlbgjaz/6pAH2VupTT4ht0HAn71PRMcOxeWqfgiqeNmDEohqEkICmswqz3JC76qxVQV0Fd3lSiLzPLRzqNbrKjsdT68382YqW6kVer6wm8fL2STVCburq5oHJFOlM0Yo/mGXD7aymtKGWUttcCwfkpz3zM+Z+ekS8NXdRfle2dVsmoZq+Y+xzsoV71flYEcEXGlFz7+E6I8X0oKfE8Q+HDJFsHXXO/TCDcSxbW/XDh89/033PymksEBfvwH/gW1Wo3777+fJ598km43YNEz1EPttv7AmRClHVgdHbwWO1eZu1rLMc7azu+usnoO5JzVVaa9zwduKVOUr3n6UMAP/8YUu/eHWD9ruJWj9SY5e3uUAM4lylqOSaVkY3VQWdXdZBZX9Yqs/WY1iVda1kZAkI90G3tvsgE8ZLZhnoBzw3jyQNT54iJjdWldwCaEQliLMMrN+sMiYss1lyS886eX+YFfFew+kAUnMkecKCf94GGQRMa5iia3CaVDhiqKstxqo4zN2DrT5qIM3vNVqsh+irKNjXz0cv5zgkrRltuuxfegFghatYDd+0Ouu+4qbrj2VqJoCPy8I+T8hLYmppiYnMaIgEQbtBFEiSDJI2CbLxWrA0e5hnNSrSEZ0dtqdRZy/GdGrMBq0VTlWeQaXGo8X9O1kj/6aIMnnw3Rao2gMqNHJcCn7LMsfPgqc1akV6671/S3GWt2GIGzyMntKyB77Y+KQHKM8Qp2rCR5qtOvRuzDyuvRgfqlPteZs6KNQqSC666I+Ndv6dGS2kVvI66KBqMLd8VaSDJNHpnSWcntQ115X9XeabE1S8VFsaVtqKvukB31uatTHfLt233f7VDiKcPMlM+6dZPMzEwU57NgcGs9hAgO+H7jYLvZ3ClIs38QxZWoOiUj6fVCnpgsU7naUiyH+5jVLC6sA2xVd4tR50RWAO3An6Xi/ZS+Ebz7Y00+9IUmkcq1diVbKRVQzs0u9pYX4xlLWwaVVWDncBViNcOPMXRVj6/K8HwFfFcDy2pmsxiRNlY2YbM5gtUufFE4KCCsQFRY3AjrmNtSsrqwaCshc1mCNOWbXtNnz1GPd3+0RS/BsUH1CxpbuCsWQZrdiMa4fYt8ka00MmtSxmlziRsmJGQWt+Zp+moiyJQFWM6dyQYCua0915QtAGmqqTeaTLSaB5v18IDMsVtl8Et2bmX/3oc/v+vCqfdfevEsgZ/iqUpJ60gmkiLzqPL0eZFKrzJxRVevKnm1IwGkqgJajoNbrwlupTTdWPCujzf51XdNcG7Bz5haVQLKMrD0BJUZg2NzBsdkSA70kRFtlRM7LlOq1qD7dzEqWc4H8moWs6j5KcemUf0s+9CYUQYfqVPJ5omP1K2MuCtVXzxzV2zG5Fqxccbwn763w/e8pUsrzJwVW3VXdIXVDdbaMiFkBLF1zkruslQdlNSKLCnk2DrN3ZaKe6KrjspIg8Pqw1jXwdMfJqRMsdRvv/9zX3jo882JrasZHKBZ9wmC2qcnW+LNNvau9ZUuEi+reiMFFaCa4mdy3TyiyStavGD2gqnznzEVRq8ytkEJJ0ncTZMWn8ua5eOfbvBrf9bmzJLnHBOZM7cs3RMhkWJsBMSIRKncuOPuCSWAK7HWKDGXDuFIHcXf+VG1wew4s1dclcw1IfvE7YpgC+autrm5z8BmqXxjpRvKY6XTzFiMcEyujQQUAksSWzZNaf7T962wsCJ5/+0tqKUVR6Xy5YwtCMQgSMjS59IVaBkyO9NmAbrNCaXsb7WCzInJnZLsb81/Vza6Nt8OxRjXVOHq4C1xYgHFYGieVH7w6SjRI6d2xNO6/sZXse/ZL9wnGT5aC0W2aVNl/nZVKxfuxqjHXZ1TsqamFvnz2M+o0v4byVIW4NYFuJXUqNBw4ITH+25vcnouL6IaDyxVkbH0Ksd5Gfs8gWZRPTgSWJbFVCWjVyj87/FYs/CqkvShYLOxGSqrsp55mp4i01n0cRYBqCy2KDRGuZS+VVijSGPJplnNt39dn53bYohNpr/NKJOPHAYzpsvjjMHzlH5aSds733wtr/w8n1V1eiVLmqQu6F7pRo/+zcfuuO+Nb3jtyDn1xk/y5PQ2EJI0GWJ15PaeyfeYLOqwK0kbmcsXU8iOVaw9rrdzvS7I2N6MsbqrfnP+9qhEUUKjAsPBUx7/+Z2T3PVYDcIqc48fDrh5Sr5acyKwow4KeXJn9ai5EbeEUeBXQT2O7ZGgVIzWl+SgPi/gq4VE1eymzfbTFKMbyErKVL7MC7NErsml20pbiEI+iQzsrsHcefjZ7CrMwPLqFw/55R/u8AvvnODQqQACAJXtPTJO+LXXzQAALg1JREFUj+WKk2ZWoraOzT1bnnOTBfpSlKuStGVRVpENzQq6RrNm5XshLGhXJz9Tr3PJxdsxZvXZXAXwq69/FVKqePcjiyzNL+B5bmK+kgbl2aKhd7RO26wCcKnVzdqAF3YU2Lnezj+XBjkOcKFRvuHIOY//8kcTfOiOBrFQJXvL1c6JyE6ol7WiyUpn0ciMFlbXnFTBvKq5YRWAy/+P6g0w2rFSoeoqcKkEjlXXoMrsY1MN8s53KmxuTLbS2Cw4szILLG3B6nnlnykCTrLkkDP5XFWfQhtLzdO8/WsGaAO/8AcTHD0XlkEnVJJA+aFwmR2JEYIkkxRagJ+V+ubtZEXeoAjsS6BLp0rcBC1RSflnhocozp+rkFy/YSNf/8bXxmmq+fG/DeATE9MEYeunNm3efoUeHn2lTnt4HpVJrfk0qXx0wyiAc6CvBerxz3KmroK9GliKCsCV0CjPcHTO42f++wQfubNBLLMt2MTatSbgwJ0HlkXCpgL0AtgFIFfXnVRl9zh4Gfv3wj35StS8Jl1XnsYCzxHQnze7acckymirW+m0ZKA30ul3nA5H2sIfd0ypSFPwPc23vm6Ap+Bnf2+So3PBKGrc8lA5VHGjWwSpdZtTacCzomwqsbmDJbJNELK4LgO6EDbT7vl3d147lbocow0T7SYXXXThly7Yse2nljvdVad11SIT1trsf/aOFek19krlaZWVzhbb7hVbf7h9JvNh82X1nx5pHZNjGtxNq6rUk4jRFLxjbV2yeAZuoTSnFhX/6Q8m+MgdDeIiFbgWsB0Nj0iTSmCZp3qrY9iqRT/jr6vBpaiwdRXwo2/+9x4O5NWAcvX2euRpehgFdeGwlDu0mTHHZXSIkNPmNt8ipSixVU6na4mnLd/0NQP+fz+yzKaZxIlga9bQ4blPnmt096Xzqr/IwtA6fR5ZQZy5LbGFRLucS2LI6luEq3Ux7mdSLUi0K41NUpGVyAqCwNcTrfrev/6bz69MTbZXnUvvfCc5jbs/XKvXbor7XOdl4C7GMhSetT2vBCnHcdnM+6bIWJaHoeqaFJJljLmlMqS+4M8+0eRDn8uYW4yDe7RLR2RVbl4FzCpja0XpkKwZWFaZmjKgHP98LWhW58n8L4F6jaKi/PMRlyVnsBywJq/dKLt+RpqUrXNZRljcSDcks/DKyTS4xRRdWlm2M/u7vP9/e18eZ0dV5/s951TVrXtv39tbOul0d/ZAEpKADxAIGDAiyCaPUUbx4zaPj44KKoojI/gWdEYR9aEiixuL4owyIIKACyiyI6uAkITsC9nT3en1LlV1zvvjLHWqbnWShoQAvvP53O6qulV1a/nWr76/HRz/eHIFK9a5uPyGkrQ0s6zXFIehK8oKDlBlG5cPWqSuu6PoI1PUhClPbJzwLRCpeUYFHEEQCQFHnSd1CAqFwt92DYyc19rSlHldMyODDpp/EoSoR+XW2cLzAM8L4bmyYKXs6R6pad0GJK4ipWNGEmlkVnirHTgVB03Fkp3akYIK3HAI7n00j5vvLaBGlVeSZkhuy+ZtS2+bktjhrg0dGtBITxq4d8runVRAkzx8POAeC+wNHk1lXckOqY0jDWP7se3RREqCpwrrKwkulJ08UpJcCAbBCbxI4P0njeLERRUQ7YpskN7WPE9aWXSgN1c28Lqyn+t4c/OJgFoE1CKiPkBdTddDglpIUA0AAYZD588S1VoQve89J2de2zEl+NRZbwOPKjfv4H89mIf9RSFi71fahp2U2vKjpQDMd2iQ3EZ6Ey29OQiNzDLqcBAHuOthHxddWcaydZ4sOUXG4N2Q4CaqKqyLmF8bqYBGSmLCYVOSXEM2y7SdALRCuWEn4+Dfe1w1QxE1Cqb6XiuOsVTXdbuTDiBieTkFp8oYIm3KRFClpOoKw0qiU8nXAQdURFgwM8AVnxvEFxnw24cLUlCb4jpceY3V06jpomAw7kjdhk1ZWrjOMRDx25GBGAnuAGCEwuGy8ZjurRoJgomTJ4ycuOTom0tFHxeMcfnGjO1sau4RtP7IlR2Tp/cWcqPw3ACeG8B1A3iq5bVjPjJ7nTlhLMlZHDtix5RQoqwhOsyVJJVJvQ5hEty/eSiPL12lwO3RlKS252PzR2zzVk4diIQimUgitpYhJZGzpHh6Wdo8mF62O0meBndDqpr1sRMlRIMEz8j84UgA3G6bnZTgNObiIraVxwFbuheQ4ucBwbzpAS7/9CDOWDwqyTW3pXRKcnNLsvNUfItej3MIzlWVWGEkeyUiGOEEQxEwFBEMRRTDEcVIRDBQjbBwwcze2//8/JWzZ3SPKSfGlOAAAP9oIOhHRJ6EwwaUUsZTkpurV3b8G+ZWkHg6S8oTJbnNtAG3AGEEv3k4j0uuLuPF1Z5KOZMet6TUpjHQqaImsD2WtlOnkabENCM7a96Y/cyH7EGqj0PPFGMsM5wkaQZM5G0asGdYVCBSXNyW4iIBdGL+a/e+ME4iKImuf4cre7moR1gwI8DXzx+EEMDdDxcUkU4cfMZHG9CJkuT6wSXWtN5a2fDVd6Gy3VMl7Xvam3DSojnobC/jK7u5xLsFeERm14R49pNN5a5bguEdRcqIkrAiBq1lfM8aMdi1YmcpmtD5nhZNUa+83z6ax8XfL2PpOgVuaklqpCV57LHU2fGNWTp2LHuGKXAsepKW2tZ52YBuuAR7QrmwdiCSi2GoSDwPWCWsrSArU1rPWFg0gIUBNDHKJTEtR5LzEuTgBHbCBqHSPg4KEMENrQEA1CMsnBHg8s8Mggvgd4/k5XK9ubABz2NqInRdRJ4AdDZ49I2gCvCyDAblAgfN7BpxmfPJ/zanu7a7XewW4AVvI6f5GU8G3rsHhypLizl3RElabiwi5sYoqaCn9Y3Q0r1RkvOEFKeEgzDp+frDX3x88XtlLFubBneamujlEmEMFjWBAjoyIgUtwCfivDPoSQN4Uwpn1uOMrK/2gHXRAHJr3rKiyOusOp4KK1cTlhS3JTdiO7mW2ERLdEiLCoiytIAmrC6y8QGTpdxM5yjrwOoc86cH+NZnByEEwb2P+YiggY3YRm6iukl8dsKSJAnPl5pP5Kiph4JSQLjI5fM47wNvH1w4b9qTSzfsso9ofACnbg8oc3eO1sKzB8Vb7w9673JndRFERCAiQtZ6VsfjIbanxmC3TsgAR0vzWGoTCAPu+57K4cIrynhpg+LctuRuUChj7q2DqQywLStJMuZENALaDqzKkNQxN7d7N1oeS3NyjQ/DHsFtS3Lretn0w+iTJp3NoiI2bRFpkFvTSnKbFDOhsnNsMyJiekJMYFYEQamR5ObgtFu8HuGQaQG+8/kBfDoE7n8yhwga0yZdQd4nHXqtgS3SF0JaWpgQ8Iy5UV6XABQhoehs34UPnLEkcEjt7MkdzTvbm4u7vb67BThzPDz+3Cq0t87bdN/S+pplf3tmztc+tg5/fiqPJ5f5IKrWFhUCiw6t4YTDayARjYHecIdtDm7xb0rAGcG9j/v43P8tY8V6T/aUMX5ziliJTCuZEmhp6Z0MdxVjSmvb+tGwXCE2gb8Yyw0j3s5akrGyzVQTGzdolo3rp8GcWEe78y0rS0Kak6Rn09ATrkN7qaQiJkZF7VnEjEI/BPK/zMlEIHDw1ABX/csALriiGX96XIHcSG99hAQJu4YR6jrWIALjHCccUcGiQ6vyMRbSKvbUshzufdzBv50LfPScKWtovmdTvbYUOX/+Kwc4AHDBcNvv/rA+QvvHTzrusAf/tnoDvvKjNjzxYhOIpwJ1ohBzZ1dwxed2YcnhFTBwaTu1vHESRArgyp0PAhBXvir/9IQC9wZXpptRG8yNoLaDRhhBnIZmc2+diGHAG6dLEXsZkKAiibS0NE5T2mX8EFgoHg8/sYCr6HS27mm77zUnhy2xJaCyJbgFdIKksgliQmr1Q8J5rE4L1RyYQ+gurzHwleWPigikLkH+3QsH8Nlvl3HfEz44KOAoSSz0/dTbE+vEBCA4XBFhyVsruOKCAcyZFQGRxJDrcTz+Yg0vbymB5RbDzdc+vmvbnetbOo/f43XdI8AXvWUGgmAYjlPcEgxFD/3nr59fvK7fBUotEpw8goiqWLqW4OKrBH50SYQj59YQ1aXGTLRk0pYKY/AEqEewoZfhsWc9XPqDElas9yB0WzNYVCRLqVQ70TZuCe5kZSrb7Z7OpcwshZyS5mlgp4VxIpDwFYB6z6jXSqQwEj7h2UyAN8OiIjT3hqIh8bpSyYQqAydDagnliajExAeWlYXD1D3hKl6A0ggkFJg7LcCVXxjE//mhwOPP5rChl0nNv8HuROyTBOoCh86r4bLzB3DIdI7KUB5B4CESDJ7LMampgsVHtEP4ix8CW7yFlqsgLP/qAQ4ArtuE+//ywKrW8sQrX9h60uKBylNob/JACDAauagEFCLk2LSpjufXuThyYQ2kzi1tDMaKomdpjmDFyw6+eV0T7nzEx45+JsFtW0lg0RPtkrEoC1Gc202Bm9nJFwbsogHIaUAnv09GBSZ4dgZtsafH4eeJ1xeNy5KfRsuK3UMHyPJ8xqUlkhJdgVorl4mgLKvWigqlNaY87dqH5OicCFkbUdEWcBlIMmdagO9fNIg7H83hmz8pYeXLjopCtMyERO9XnVEgcNjMED3dEepBDtV6HpVqHkHoqrOluOAjhyHK565cvvLPq+Yd/I69urZ7BXAAYPl5YMXyk/Nmi9vPPHbwrJUr1oIQhl11ik2Ri3rEMGFihDk9gSw7bV7aWmILgxaaA1ZtcvDVa0v41b0+qhGTIX8J64jNu9PueIkwo1iSFDVBzL/TaWdZyiW1AJu2msQhIKkeNmmFEvoNRWNlFZZiOhaw9QRJLdc330K5iaZTSb9IS2vFZ43NmsTUhhvrSWxGhCqDnIw2tGkLhwmzVQ8Q5zLyjwsKqqx/AsIsBxcgITCpPcSHTuPIucBXrm7C6k2OvMeIH5bEhXGA5RsdbN/OMGEKEAQ5DI4UMVLxEYYcbR3z0dN95O2F1oOeBAb3FrZge7viDT/4Fr7w2U8OvP3ouY+teunF2bw+OMd3QlAB7KoHWDijD1/6SB+WHF4DjSwoaL1Cg9slWL3JwaXXlvCrP/qoQvnVbVAjDWidYxkDXGfpyF7ycSfiRE95q36JbvJkEhxo0lSYrFNCYDeA0mlWdm3weB8k/l5LfqKXx8XwSWo+/dBlPoR78T1R4aZGLQEa3lBpS1KDhxbJZTb3anizWYIhrVRrPQsAwGWY/sEzI0xs53huhYP+XTRWgIB4B5B1q3f0OtjWRzF1UoSmXA5bd7Zjy448RqrNcPLT75wx96zPDg/2b8j5U/c9wAHgyu9dgdNOO33g4NlTFwaV/sU8HMTkCQ7ecXg/LvnIThw9N4RDpQXFVuIMuD1g3TYH//vqEm6910cNCnE2DWlQLJ24Mo5ZDhPnrbN0HGIV6jEgR6xoNgBWxMXtKZCsaEWSwKDWMmqDGSDqYYg7O5B4H3TPACfYPdjH8ryOFT8T718k9p0Esp2xFBcE0sqyrXgnKJm1j/gBsOKOYFRTaKx7DJg7K0JHO8czSx0MDKiwzsQrUwbPhfCwYlMRD/21hOGKj8HBZmzdyZArTsXsucfetnXrptumTJ07HsjuPUXRY+qUyeic3HX5jq3rZ5byQ+/Psz7MneGho6mMelCF4HU4TgBCA+PqBpX5ec885+HaWwu45V4fdQNu67WVECMWRYlJh3nwdbxJtscyvrnm5YFsKZbm02kw6N9LRA1mEvDdj71fMzniWBSLq2s6YvFwwFJINW0hsWUkpirS/RYroDoDSPZH1UnM8XbKjMiUW1/RC2aCuTQHV9AmOj+Ky/2GAh7jeP9JVYAD19yax1+XeahpVz0AU87a8RBQH+v7Hdz9iMCcyQFmTGnH3Naem2cctPDyLZs3j/v60fFu0NU9BY89cv9AS/vMc+dMFw9P7gghBMPgSAG1Wg5h5Eg7uKYoFKhwghvvKuCsf2nBzffkUdfaoQ1kjAHsFB/X1MRBEtS2VEtKP9Eo5eJfylYkbXDbyBwL8PvYhGLMf2YBMby8wTcCi4fb29oKpbW/xuRkFdEHKwCLN1pR4mXU8nLaSim1gr7i34AQEJGAKwTef1IFv/n2Lnz03RUUqX2CUDTUg+u6aM3LCll9QwQ7BtnDc2ZPP/dP9/5xYNrUnv0PcAA4bvGJmD01HJ132Ol1P19GGAERp4i0F1O9pqgrMCIIbryjgIuvacKOAYbASOk4bNIgKSHNKRqku5pjJCXBYZkHIRpe3Wb3BpwisWtYkyZhAY3b2svsQZDc1xhrjH+MYRS3/QtxkgOsmBQSS/pEnIqS4hxjANh4KlLfWx5qwJpOW16oAb1RJHXAWMThCIGO5giXnTeEj5w5giJV6TvmHClcQuBR6dVsaSnjw+ecUd8+SEZPPfXkPV2tzDFuiqJHqfUgCMGfaOs8ctHQ9nvylIyCQpdGlvmTq7cx3PFAAZddV8KuIWYxflvLAfZMU6hZV9u8jbUkFWOSkOQW2Kn9s0gDPnlYNvYT9CU5kcBtxqK9AzCxHTjJ5XoyKYFhnqi4rYzajwG3cs0jBrihNbZDyfJyArF1RcapIHbhk7jeCkvRFxiLCwDV+oYo4CecYeo3eAi0NYX4t08MwXcF7ry/iFU7KKRRPkKkCgn5vod3LTmictiCWU/ozn+vZLziLf18CZS6X55+0OLvTpjYXXVZFa4bwPXq8HIBHl/m4Pyvt+LL17Sgd8SRWp9ty07DKAvkKTFLkd23MqYoImEWtMEODfIse7g1nY1YklyGjPWsVfemolV62MFUY6+k/1nmQ1jURAEpQVOQBLnpjmAkf0xTkrHjjVJex40bj6ewRICIj10kLh5peEp5CLQVI3z9U4P4/iV9OOaQChDUgbCOIAoxUI0wffq06rtPPf67Oc/5clau5d6OV/5oAMj5BT64/b5Lm8od32xua6+XCkMo+FU8tpThoqtbcc/jJdRCD2CybLGxw40l5xpAHSOVELuOtxVvQtAAalt6NwRR2aBH+nDiYKrELSLJI26Q8OnTGa+nZ4whxrpOFt8GYvDqn7aTkqGAzBMSNyNBItPRYyUvp9bTZ5/YxtCUrHOR1EYXGgoDBpdRvOuoGi4/rw+L5g8B9Qr46BCmT2mvd3dP+ubPf/3opcVicbfRgnsar5ii6NFa3lwH7fiGE7XWt2x2vvrTmym99YEWPLu6APiORJ4QAFTGB6LkHTF3CCmg2KqgHDE9ifm2XWotrmsiGihIYjqLY1tKZibfth+Uhi/30UhRlj0uV5eOkNjTGdMVWeRHhqjYKW0w4RNcqJreKqwEQgdbxbzeJEYQPU+VM0nTl4Ybh2TyS9LKI4TMDhKCQYQEjHIcOz/EVRfuwi/uq+A3j0zm07vKX50wsfmKl7f31l/tJd0nd2njquvR0Z6f/9sHNjz34YseZSNhGcj7Kj+PqPSkOiAC2ewoVCB3YFlI7NbaduH6uHBmjqqi9UQGVzESO3aYsnXrMNlEkXoS28O12b3xO+XgUWBnVkyXcebQeJ34f2oZlSY0YpaTuGg+jQvgJ+z0thOKwmoUYNnwqXVOiVbn6dqRept0z1Ek51MFm5j1XxdJjfuU2jXaVYdpkuq0odvJEF1ij4OQSF5PRz5wUcAQRS5C7iKKXHDVqpCxCAW/guFaBfctPyfatOuQw3x3+MWPn3POq8bmq5bgADAczUdPy6SV3J143pmnN117y59eoIS5cKisKRdEDkREgCAEERwzp9SRczmWr3WlouQAsaRu5OTacqJjvTPt3qnlCY5tURYjifWvZSmMKV6dlgKaaY4pxfeDcDdapN63rYgmbN4wiTIxhUl9r3m4ei2ozt26r5RKSoZKRraoCVGZQsoubni/du0ImGQHgjiBZfkaB54nMKszknUGIxf1uodAmZQJ4agHLsqTTuLvPG7+eU+tOnrllPY1++SqjcuTOda4+qqf4IRTzo1OW3LMs395esUuUa+fUhscQnOOIkel4T8QAgxVHD5rGFdc2I8PnzGK5oLA+o0Mg6NMiUy7WD0z0ptS6ZI3BXyo3Z0hlmzpHjuZ0loDnsbTtqvdROEmpomR1LZUT3sPY0+m5c1MezfTnkzrYRzLTZ/2eDY8vGY5aXRSkXiZmTfbx09J2nuJxDpZCrntg0j3UuJgLsemXQzX/qqIr/6gjAf+6mPe7AATSkA9zKNS81Gp+ajVc6jVCSIyAxGZcWFb1zk/mNGxNGzvOOr1A3AA+Ol11+LD/+OT4h3Hzu9oLnpnbNm0MYegAt+R9KISCLx38U789JI+zOsBOls4lhxZRaEg8MQLHkZryiUPalETBtC4rrerQO2omBPzeicxNbFjTxJSnSYBns7T1CA231GMAeAsd34jwGP3/l4AfCxA08bvYU+rdbSFKAagJNlpxxY0uJEEq/1WG0sxT7vtpZBIFVRV4HZZhN4Rgq9e14wrft6MLYN5rNuZx20PNGHKpBCzJnsYGC5hpOJjaMRFhA5MnHrqUFvXyT8Jan3L3fz43PG7G6/KipIe5aY8qqMjd5550hHnf+KDJ/ZN6Syj6IbobuZYMIXgvcdR5J1mjFabUKv6YJzhnBNHMaUzzFY01Y3TZde0mTDRkQGxxzIBFGRIyYwb26A8WsdgCBJJLkPjqpnj1TKVhoJA5k/KgoIMW7lFG+JwW9sxlCz80+C4sZ08PNu7aVtQ4nOW/H7jVoZf/rGAgLgQOR/cLWOg0oFf3t+FpWubsa23hIFhB6GYgJbJp/eVJiw6f2iodidzCvsSkvuGg+sxcUILAKCvf+Cm005+m1Oti8t/+/v7O6gYxtzpHrpaJmFr7zBKxVHkfQLP4YjCutL+9S3T4kKKJi2d0+Gwie4MEJkUpDGwSP2CDWDSOJ8emUA1r32S2Od4hxhrobU/kZpvPLo4LlxYFhcdck1UviUBDI9W+RLS5EhUXEq66LyQ3YkJTT4QhKiGs1aWfuJKEQFCKSiT7newPHw3h4480Lu1Gb97xMGcaRRTu3zMOnjxjknTjvtXHgU3tU3o3BcwTIx9KsH1aGttRrUW3HDGKcdevORtC3ZMbPPQlGfYOeBjeNRHre4iimTfRWO/MndVgdt6ldtZ8smIwGzKYWfr2FEuWdzV3JosbTIFoz2NfWE5FGKM5ekZO55aZK+bDrRKS3Tj3OFISWgk4k9MoU5Ox5Ditis/ocIDhIFSB0UXaMtxTCwJDA0D2/oYvNLCHV0zjruYon5DvlDG/hj7BeAA0N7WjEceevC6yR3li2ZO7+mjVJY6iMwFUQeguGqW1qQDqxIOHpKS3rbVBOldpKS3DejE/yQyE6umQbQPQJz+rb0eIjWZoCekcV2bztj1U7KcPCnaEn+QnLe7t6GRqsR1WoRJvDf3UVlYgjBCU3lyX8DLFz304CPXubnmfXtRrbHfAA4AZ5xxOiJe/9mUKV2fmTqla8hz6/CcZKHOagDZ6ctEFGqXvmr5Z6R3I7hZWnInLCMi65lJxNvrYYN9LMDtjXNSiPFvkx57+xaIiUny920HTbKnj3LHoxHodiHOREtwDVwNatMGhZpmV1zQDGlOwIhA3pXl2TjnqqAmwXAlxKTJPUMdkyZ/ZnC4+rMlJ57yKlG2+7FfAQ4AnW2CT2wr3dzTM/FjXd1d1bw3glJhFE35UbhNdfzq4Rw2bnWRrBZLQamuDptOXkCD9B4T3ED6hRkrliQJ5n2tEL6qsS/eEg1FmeLjTEpxnXQ8Bsg5TUhwu+6N6eAmqAV8ipAzTOmM8N7Fo8BoHaI2iuFaiJ0jHD1Tp1fbJnR+zHH9m3sHg1flht+bsU+VzKxxzPFnY92LN0WVsPtXzf5gxMTkn7+04Vl/wzaKNVuL+NnvixiouEk7ONGdGYRpP2K8lQbQY4M7y16ctqhIEGCvwTRuzIlxbDSO43g1h6GtKxzyOgGy8A9VkYng0lTKAZUpL2vdx0ROK9Sy0jChAOUy+ZgTKiU6ke0IS7kQn3rPMJqKAqs2e1i20UfbhCOqbZO6PjSzc8LtL64fiL78+Q/sn5NOXdrXZAy+fDVK3a3kx//Zf/bdD2y98YmnXyqElSr6aw5CJwewHEBzAPVAGYPPgAIVyFEh8y5NL/mkcye2hYtEyGzagYIxv9tDjqR2wxOY9DTtltfrMeMA0m55a/6VuuqJ7M6i30aMIuVyh+pTGjtdCLFc9VoHUY15kaBtUpxTape1Tu3HcusT1arG7kYtu3rEteEdFslKwyyEy+rwnBrgBeirArXBHGrRW0bX9M75p1Pe9Zlbz//azeLqL796N/zejP0uwfUo95yPD/7rz8XmF5+4pTTlbc657+m/ti3/YvN1dxWx9OU84vgTCkbjIpoaBHHSsEgmENOxpbZt9suK8x7X020rmwQJ0dggrMcjvcfaJm3h2c0hjbU7wDIVWssgZN6lrGiFZOVAoeLjKKR9HBLUiKiS/bJAJycymIsTCkq4keCCUHCVIL5srYPr7i7j7UfOHPiHU6d8qmP7k7eI/u+CtH7+lQNpnOM1AzgA/MflH8KHvnANbvp25Re1HYe4ufykKzbuWt6+6haKOvEAykApSfTVsdv+7QncdgxK2oHTYOPej++udEWEvRrjfOL2nvJb0NbJM8r+rRfqmJSET0CXMNEnRIHI5MRyRIqmyKasskVhFEnHOKUCo1WKZ1Z0YXPlnb2PrGm+8NJzm37x9FV4TcGtT/WADCG2AHDO/eHNj37jsh8+0rF++yjgOnAZUKCAr+kJE3CZ7C/vpCS57VJPSHB1Zgk826ZZ2BJ+9xQljkOJ6UwcaRiXjKA2BSH29G4oig4zoDbV0hGC1gNsLSdG/4jXyaIoacoRv8l0MFR893VIq21ajfcnVHSmbgAskhTFieCyUM2HcFgEQgKAtSLwz9wx4pz+JSKC6w+a1n5AcPaaSnB7EDIZvbsq17/vlJPJUKVw2bdv+GPH9t5hUOLKmwQpvV1VEsLwbxpXrmqIJ7EAPObvvtIDtl/1QtnuMzyO2V7HveMsDW8Z2A9iDMK9OZH0C8HEgVtHFAt2pTyK+PpxqkP5iSrTJlTgknZ3Cmnt4lzWL1TnGEURcn4LvNazd3R0nHIxgOsJ2z9OnL0ZBwzgANDekkfvwPB1HzzjqJBRfOeXdzzaunXnDmwfoMjniax3wlRwlawNI+ORLV5uS1vAuonCuom7BYNIcArbC2hAYlzeIvkDVji/QCM40zw9a5CshyElWe3d6W3SbMuW0nKhyPydLIeQJdNhgrRUXidX3c+ks5kmNpJvMwaBCJ4boHfARanUjdaOJf25lrd/EYh+eiDBDRxggANAe3MTarXgpg+eflRfMLxlVs+klm9edv1T7tbtLcj5gMeEkdqmapVthbCohA09ndViIgH0dzoDxgKfrYAlpB4sjGZJa5JU4hIKqPk3Do3TVoQbDPgapHHWjpm3FVI79IkA6dYyNuwT9nDrx2TsvAQ3pXIdJnRDQVXSDRQilFv4nsBLGyrYES4J5hWLF3WXT1wtaOFuSr3XBEN7uKSvjyHEYwDavTXr1/7Trb/fcM0vfr2C+GKEEov3amAn4r6tLJx4X7DKIwiTaJs48YTFhTRw+eR/K3tHhcImuDdJ8W8Wc2/NzZn62Bw8/bAyZmflxFk82r6vM3yIbTLUvJzE/9M83DYNygsk7SGCx/EoXKfam+tjZQkRAcokD49NhdJ8KIRAWwvhVWe+2Dy68LzVu956Y3t+Y/3Dp8070JCS53GgD8Aef1v+AppLfv7J5zdNefqp5f+4adO2f39pzWa4DlXg0DRF9To3SlZsQZEuaQluzuV0xK3ywsgwJ2qwNtjALYBTa73UdAx2DV4L3ISAsiTAEw+rbQenloJJLLDTDAdXQuFMAtJWRA3IEb+5dOxKxOWHm0+MCmN/V+CmCtwO1dMcnEfIFXtQap74P9smzriFuzM3go9Wpk477EBDyYwDTlHssXDuAgCo/PiGW1ecffL8b9zzaMHLF5u+vH79Rlar1aQFlgIOJcoJAiMhtTNHAzlUEotH8XI+BhG2rWG2idt+IGL6beWEJfhJPOyC85lBI0gpi+ZBs0WoaODaacpiEsZITGkMHweSEhzxNNfVZZW7PYoIwkgGVulj1Q8vp1x2H2ayrxInAlEoIJwcOiZ2R16h82uD4fxv9PetixYeedCBhlDD2GcZPfty3HnHf+GQt54m/uXTH7j/jtv+w3dJZdLL2wcKtVrouozDcyXAGSVgjEhFlBE4SlIqm4CS3vEnlctvpXEpqwiyM22AjLQvw9+t1DXzXTKDx0h367v02yeRSkdT8wSZVqO0cm08nLYETyUu2+fEhQR3EFAEEUEYUQX0uCsy7EQJIeDnBByvjEL74trCI878VufURf/r4gveKea+5ewDDZvM8bqiKOnR1z8Ixhi98+7fk1JL59V33HXfApdUju7t7XcIZWAK0A4DGFNSXAAhF6gHApWa/NRC2a9Ua/52DEtyniTAlk1LLNu4NS3zP2NXvU1VzH9NVZht8oSZt/l3A1VJ8G1IF3zKNZ/MrtcAj7PvdYc7TU9qdYbRqvzUA4qQx55MxgCXCTAms+vrAUe53BJObKePHbTgVO4UDn5saFRc3N3B4PmvvDDP/h6va4Db47Zf3wnPdUqDQyM/WrFq3ftWr9tMa9Uq8r4Dz6XwHArG5A2KIoFqnaN/iKN/SAI80mYtHbiVyuckNAnwRCIFjaV2Qtm0HgypCCcdPiwD3A5TAGdKWWaW+dNw8aSjJ3YuZfNvo2AaJRAghFsPjebOUjmEctPX6i76Bj30DTqo1CRNgQAoE8i5QM4VYDRAIe8jV5jM2yZM+y8/X/znKAqHFi3ev2Gu+2q8rjj47sZ7/uHdWLtm3VCh4H9m5syZqx585KkFAwO7zlqzZi0Kfg5NBQeOQ8C5bAft5wQEatjQz9E75KDgSa+ox6RtT3UzBIh0XTBgzAI7plqDzfMRr2uniSX65GAPLnWCxgAx+6NXU9zfPoYsh5B1xIpycStwisNxOFxHBkblvQh9QwyrN7Wib4AiiKQyzjngOgQ8F4EiQOfU6SiVm2/vmfaWF0rNXd8Lg+pQV8+0Aw2HvR5vGAluj7XrNqBcbpr27HPLv7ti5aqztm1aCd8ZgZ9jCEKGkRpQyAl0TxzEcxv7ceM9zUDooy3PkXcFco56/aYkubbOpHkvsaS0Db4EdaFEmS+1xLbMg4zAYTQhwR0WUxP5X5jpBPVImPxsF3qGKY9aUpzElg/GOFyHw3Mj5LwA5WIVHCP46R+KWLqiA11tPvwcRbXGUakGoFRgxpRWHHXEHEybPuv2js6DP1erjayf0DH+8sUHerxhJLg9Zkyfii1bdq5fuOCQL5ZLhZvo4QdfMDrw0vG1oefxzLJR1IMiJrYCM7qAGT0VPL6c47Flk1D0CHxHNErWdGRghm/Gdm0D2rIi4oKTpvyZap3NY0VUZ9AkPEuWqTJZ5zwZP5JWerWnMWvYvqGs9DxKBFwnQjFfweMrQtzxaAFuQNCcD1Fu8rBreATbhppwwtHzcNzRhzzY0V743tRp054Pw3B9qfzGAzfwBgU4AEyePAEAVgkhVgF4YePqyuSmYs8PV+5cM3vLzpXMoRFqNWDuTIJTjh7GM2vaEUReg9VCg33sOJKMYVEUXRFKCCsqT320k8kkFCgt13gr05YUY9OOj9E2F9q27EyQ696jUB5NYqWqKcuIwwSqNY4/Pe5j4+Y85nYJ1OoRWkoUxx17eNQXzVuVE8Enjjrq6C0AVrySSrmvp/GGBbge6gasEGLTiiDg75p9ULl78THH3Lp1/UNlB2uKIxVgeNSBAyCnIxPVf+P4EEgUp9wdyO0cR4k/hXBOQKmOsVYcnxMTW52W/jGIBdLRhDbliCnR2JLb7BeazsQd1nTdE0DGjQQBg+dQ5PIczIvQXCph9uzukdPPXDLYUqqe3R9N2wTC1r/Rga3HGx7gehDSDR6J9e88vmdjpTI8vykvjikVjv7RynVLm5ZuXNtSdvpQ9iPkGIfnAC6TnrtA2cfBpUQ1+4NNDUjsrxEWo9FKqqwWDwEJchKpDhdE1+PWXYWT+00mTCeLadp8OwtrcXEfET+URl+Q+xCCIAwpAg4EESAEBXM85P0SPnJacWjW7EV907oPc1qayMcnd0//S7nUNDAJghP7QrzBx5vjMU2Nvt4tAByaH76T1No+8NEdfcMX3viL39fXrl5HeDg6l5HQr1ZGEUQCu0aASkBQ8ICcAzgOScad05hLcwEIyx1ql2+LAats4Mrx5DAC1yFwXabMmQSeC3gu4DoCDpP/taKZcNYQ2zFjH0N89xgVcJTC7DBpKcl5HL4XoFKl6B3MIQgoisU8igVSbW12l0/snOZ2dB9z07x3nf/tW6/9cW5qV6lar4e8p6frQN+6fT7eNBLcHm3tkwGAD45GcCi93vdqN7gOwwmLDmFtrcVrgnrt4A0b1r+tXtnMtg3uwv1/dSBGQ3glAkpYDFgrJFc3V7UDt2IASqDLljSmhpSiDCpjncvAJGgrjdq3o8DtUG4eKt3unKZAzrkMkIpUBwai4uZlyW6h4kkEHFJDPlfD0yt91INmzJ7eFXX3THm4VPRW8HDoPJCRiLIClt3zY5EvzRo90Pdrf443JcD1KBdMJIIWu2Ff/65/9jyvta+v/+trl9/jDY8+F41EbYcHFfeIYGQHhoeHEQoCP8eMic9lFCEXCGtAGOmuvhJYDIhbikAqlJQKCPXTmjJwEUddayriOIDLFMit+t9yRZ0YDFmbm+qQA6bc6gQO5SCuAOUcECHqAZCnBZRaO1ELR55+dm3wzKFzZrNFi99Zb21ru6Req/cXmw5sfPZrPd6UFGU84+bb/wwCHB8G9ZNFOHr2wFBlzsDgCJYuXwnOQ+RYiEJOoBZwbO0TqNQphBBwHYKcK+3ZusW1psJaYXQZgesS+B6F7zHkfYaCT1HwgXxOIJ8T8BwOx41t10SR/UiFsTpMwPciuI4E/MAwwbrNFNUaRVszRUe7A8910Nk9EyAFMKf4Ukd77tac59wjIB7smnHigb7EB3S8qSX43oz3n7UEAB7s7+9/EMBDtVo4a+uOXr5p81beObF9xuwZE79UH92MUAjccd9mrN7YDxBgYlGgs82F61DU6gKVGgAiFGeX1hOubO6MCriMQwgKQuRD4bkCnsvhe9IJQ1XfSEolwR6pOKjUKAo5jlxhFK1lySS8XCd6q1NAKwwHHzIFHnZ8Y3S4d+302cfRfLGNAu5qAH9obmk50Jf2dTH+7gGuR2trKwD8Qc/v2LEDnue1bNu27bHerQ44iYL/7h/8+eNHxUl1LtDihlix9Fm4tILtA3Vs2RBiUrOLaq2O4eE6CBFwGYHvAVFIAU7hOAJFn4MSwKURfDdE3osMwLnIgzIfHa0DWLYO6Bsqo1gqYtYhJ6C5XIcQFMMV/95ttdHvNNU9d8bMBZjU2flgvVbf1T7hwCT1vt7H/wf4GKOjowMAdgH4DQCsW78FPdOwfLASTapzcA919G1dDUQcQwFHKAQE58Gxxy26dGBg8IygHgSMEuQ9IJ8D8jmKUtFBSxNFuShQ8CMU/Aj5XAhCOBzXdd1c012rlr9wabmJuyActcAFc0pon3QoCgWAC0q9wN92+klibVPzm8/isT/G3z0H35fj57c/CgJM2rRpS3O9VhOMEvgu4HuA71EU8wzlJopSXsDPRcj7EXxPFv93PZeUWycNAGJb88S/b968L8f/A8rQJMduTX7IAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIxOjE1OjMyKzAwOjAwQa86/wAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMToxNTozMiswMDowMDDygkMAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 66417175
{'hecke_orbit_code': 108086391090451561, 'n': 1, 'trace_an': 15}
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id: 66417176
{'hecke_orbit_code': 108086391090451561, 'n': 2, 'trace_an': 5}
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id: 66417177
{'hecke_orbit_code': 108086391090451561, 'n': 3, 'trace_an': 4}
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id: 66417178
{'hecke_orbit_code': 108086391090451561, 'n': 4, 'trace_an': 17}
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id: 66417179
{'hecke_orbit_code': 108086391090451561, 'n': 5, 'trace_an': 0}
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id: 66417180
{'hecke_orbit_code': 108086391090451561, 'n': 6, 'trace_an': -1}
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id: 66417181
{'hecke_orbit_code': 108086391090451561, 'n': 7, 'trace_an': 21}
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id: 66417182
{'hecke_orbit_code': 108086391090451561, 'n': 8, 'trace_an': 9}
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id: 66417183
{'hecke_orbit_code': 108086391090451561, 'n': 9, 'trace_an': 15}
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id: 66417184
{'hecke_orbit_code': 108086391090451561, 'n': 10, 'trace_an': 0}
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id: 66417185
{'hecke_orbit_code': 108086391090451561, 'n': 11, 'trace_an': 15}
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id: 66417186
{'hecke_orbit_code': 108086391090451561, 'n': 12, 'trace_an': 11}
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id: 66417187
{'hecke_orbit_code': 108086391090451561, 'n': 13, 'trace_an': 13}
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id: 66417188
{'hecke_orbit_code': 108086391090451561, 'n': 14, 'trace_an': 9}
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id: 66417189
{'hecke_orbit_code': 108086391090451561, 'n': 15, 'trace_an': 0}
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id: 66417190
{'hecke_orbit_code': 108086391090451561, 'n': 16, 'trace_an': 21}
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id: 66417191
{'hecke_orbit_code': 108086391090451561, 'n': 17, 'trace_an': 17}
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id: 66417192
{'hecke_orbit_code': 108086391090451561, 'n': 18, 'trace_an': 22}
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id: 66417193
{'hecke_orbit_code': 108086391090451561, 'n': 19, 'trace_an': 15}
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