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{'Nk2': 10668, 'analytic_conductor': 21.29610221907548, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[3, -1], [7, -1], [127, -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': [2667, 1, [890, 1144, 2416], [1, 1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 19, 'field_disc': 200172906827620996775189787263445561274880, 'field_disc_factorization': [[2, 9], [5, 1], [7, 4], [59, 1], [34159, 1], [16159056913072294046026891633, 1]], 'field_poly': [210, 608, -2913, -5723, 13725, 14000, -28600, -13249, 29792, 4985, -17032, 21, 5572, -583, -1035, 178, 101, -22, -4, 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, [210, 608, -2913, -5723, 13725, 14000, -28600, -13249, 29792, 4985, -17032, 21, 5572, -583, -1035, 178, 101, -22, -4, 1]], [5, [45312, 196352, -422528, -1545280, 2252672, 1896320, -3153420, -635484, 1786966, -34796, -500048, 56012, 76184, -11859, -6431, 1147, 282, -54, -5, 1]]], 'hecke_orbit': 17, 'hecke_orbit_code': 72057594071485035, 'hecke_ring_generator_nbound': 11, 'hecke_ring_index': 4, 'hecke_ring_index_factorization': [[2, 2]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': True, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '2667.2.a.q', 'level': 2667, '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': True, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'minimal_twist': '2667.2.a.q', 'prim_orbit_index': 1, 'qexp_display': 'q+\\beta 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mf_newspaces • Show schema
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{'ALdims': [14, 19, 13, 18, 17, 14, 10, 22], 'ALdims_eis_new': [0, 0, 0, 0, 0, 0, 0, 0], 'ALdims_eis_old': [0, 1, 1, 1, 1, 1, 1, 1], 'ALdims_old': [24, 27, 28, 24, 30, 24, 33, 20], 'Nk2': 10668, 'analytic_conductor': 21.29610221907548, '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': [2667, 1, [890, 1144, 2416], [1, 1, 1]], 'conrey_index': 1, 'cusp_dim': 337, 'dim': 127, 'eis_dim': 7, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 5], 'hecke_orbit_code': 33557099, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 2, 2, 2, 2, 7, 11, 13, 14, 16, 16, 18, 19], 'label': '2667.2.a', 'level': 2667, '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': True, 'level_primes': [3, 7, 127], 'level_radical': 2667, 'mf_dim': 344, 'mf_new_dim': 127, 'num_forms': 17, 'plus_dim': 56, 'prim_orbit_index': 1, 'relative_dim': 127, 'sturm_bound': 682, 'trace_bound': 4, 'trace_display': [1, -1, 10, -1], 'traces': [127, 1, -1, 133, 10, 5, -1, -3, 127, -2, -12, -7, 2, -3, 2, 133, 14, 1, -4, 38, 3, 20, -8, 9, 145, 38, -1, -7, 2, -2, 16, 25, -12, 22, -6, 133, -6, -8, 2, -2, 30, 1, -28, -64, 10, -8, -24, -31, 127, -25, 6, -38, 10, 5, -32, -15, -12, -34, -36, 6, 10, 28, -1, 157, 36, -20, -52, -6, 16, 22, -32, -3, 54, 58, -15, 52, -12, 30, 32, 46, 127, -30, 28, 5, 4, -20, -22, 32, 38, -2, -6, -32, 8, -8, 0, 73, -2, 1, -12, 139, -6, -14, -56, 202, -6, 94, -92, -7, 42, -96, -22, 1, 22, 20, -32, 78, 2, -20, -2, -10, 91, -38, -26, 40, 12, -3, 19, -19, 20, 60, -68, 28, 4, -60, 2, 154, 6, -24, -100, -42, 0, -12, 40, 133, -4, 82, -1, -66, -22, 27, -32, -76, 14, -36, -176, 30, -22, -136, -22, -34, -8, 1, -44, -10, -8, -60, -72, 21, 249, -124, -4, 76, -6, 6, -15, -140, -20, -30, -20, 38, 10, 30, -14, 24, 28, 56, -128, -180, 3, -128, 0, -31, -42, -94, -44, 133, -38, 20, -88, -101, 28, 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14, 12, 88, 164, 8, -144, 136, -26, 145, 342, 86, 192, 422, -8, 91, 166, -4, 354, -352, -184, 10, -50, 0, -228, -10, 328, -108, -352, -2, -88, 288, 73, 140, -490, 93, -24, -184, -188, 224, 38, -2, 312, 84, -118, -150, 416, 42, 360, 214, 1, 228, -48, 72, 24, 256, -250, 15, -28, -12, -224, 64, -114, -128, -143, -88, 442, 320, 139, -84, 228, -28, 6, 92, -112, -172, 332, -6, 52, -32, 76, -24, 66, 68, -154, -84, -14, 192, 568, 44, -82, 480, -36, 270, 164, -56, -82, 278, 16, -4, -510, 32, 132, 416, 202, 14, -44, -34, -304, -102, 62, 400, -292, -6, 16, -204, -64, 164, -376, -142, -118, 110, 94, -184, 32, -24, -24, 70, 270, 63, 400, -92, 194, 244, 48, 152, 553, -40, 68, -316, -7, 100, -32, 190, -214, 70, -36, 240, 38, 42, -180, -32, -78, 60, 476, 32, 580, -16, -96, -32, -704, 68, -24, 72, 116, 226, -60, -22, -428], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 47997263
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 19, 'source_embedding_index': 8, 'source_hecke_orbit_code': 72057594071485035, 'source_is_minimal': True, 'source_label': '2667.2.a.q.1.8', 'source_level': 2667, 'target_conrey_index': 1, 'target_dim': 19, 'target_embedding_index': 8, 'target_hecke_orbit_code': 72057594071485035, 'target_is_minimal': True, 'target_label': '2667.2.a.q.1.8', 'target_level': 2667, 'twist_class_label': '2667.2.a.q.1.8', 'twist_class_level': 2667, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47997264
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 19, 'source_embedding_index': 8, 'source_hecke_orbit_code': 72057594071485035, 'source_is_minimal': True, 'source_label': '2667.2.a.q.1.8', 'source_level': 2667, 'target_conrey_index': 1, 'target_dim': 19, 'target_embedding_index': 12, 'target_hecke_orbit_code': 94575592208342849, 'target_is_minimal': False, 'target_label': '8001.2.a.v.1.12', 'target_level': 8001, 'twist_class_label': '2667.2.a.q.1.8', 'twist_class_level': 2667, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2786125
{'charpoly_factorization': [[[210, 608, -2913, -5723, 13725, 14000, -28600, -13249, 29792, 4985, -17032, 21, 5572, -583, -1035, 178, 101, -22, -4, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 2}
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id: 2786126
{'charpoly_factorization': [[[-1, 1], 19]], 'hecke_orbit_code': 72057594071485035, 'p': 3}
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id: 2786127
{'charpoly_factorization': [[[45312, 196352, -422528, -1545280, 2252672, 1896320, -3153420, -635484, 1786966, -34796, -500048, 56012, 76184, -11859, -6431, 1147, 282, -54, -5, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 5}
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id: 2786128
{'charpoly_factorization': [[[-1, 1], 19]], 'hecke_orbit_code': 72057594071485035, 'p': 7}
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id: 2786129
{'charpoly_factorization': [[[-6681231360, -1010483200, 7558645248, 966206976, -3622517360, -397364208, 962511136, 93267144, -156038400, -13939997, 16014392, 1388360, -1043153, -92190, 41750, 3908, -936, -95, 9, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 11}
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id: 2786130
{'charpoly_factorization': [[[61687808, -387639296, 440257536, 464500608, -718974592, -197293808, 369703664, 18780032, -91547332, 7103093, 11932556, -2090486, -772584, 220040, 15750, -10182, 590, 155, -24, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 13}
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id: 2786131
{'charpoly_factorization': [[[15267840, -98196992, 178415584, 41796912, -388885152, 186729808, 247393398, -174659019, -55582860, 56563351, 1273576, -7641367, 900611, 378938, -75816, -5597, 2018, -39, -17, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 17}
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id: 2786132
{'charpoly_factorization': [[[863515648, -6349867904, 484607932, 21283138608, -6986970890, -13352888290, 7804292440, 979279070, -1521943408, 186174471, 99868800, -26273223, -1656060, 1165851, -64033, -19803, 2533, 55, -23, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 19}
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id: 2786133
{'charpoly_factorization': [[[31104000, 654464000, 3672363520, 5916347008, 1801178112, -3166052544, -2530851200, 2831336, 587881100, 171572060, -23771480, -17589036, -1170180, 625081, 99590, -7025, -2269, -46, 17, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 23}
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id: 2786134
{'charpoly_factorization': [[[342307676160, -337771286528, -360214147840, 368581580416, 110779418496, -123915009472, -18683738416, 19610856560, 2001948088, -1659116888, -124547454, 80408413, 4229248, -2272764, -74346, 36325, 628, -301, -2, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 29}
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id: 2786135
{'charpoly_factorization': [[[754255360, 5365434368, 11563712064, 6570981856, -7922648602, -11382587266, -2446758894, 2672063358, 1256191160, -160721425, -146009096, 3369161, 7972023, -124603, -222539, 6791, 3037, -145, -16, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 31}
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id: 2786136
{'charpoly_factorization': [[[3880343600, -87654204128, 191744649388, 115431950516, -411843554940, 122501580272, 177154861938, -144053645271, 37563473686, 110924022, -2123439309, 411353160, -2756774, -9374932, 1273210, -20758, -10817, 1216, -56, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 37}
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id: 2786137
{'charpoly_factorization': [[[840044212224, -17652203992064, 10632051751232, 8890740885280, -4690217818080, -1792807600448, 657738826460, 179907032723, -44152991441, -9975871144, 1625318388, 321974111, -34449253, -6156898, 417199, 68420, -2672, -407, 7, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 41}
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id: 2786138
{'charpoly_factorization': [[[2627365310464, -2966267432960, -9222891376384, 474399633792, 3822948234560, 117957234208, -624840309552, -25618034720, 51126294476, 1488422636, -2314625848, -22603152, 59965472, -617107, -873244, 24479, 6529, -276, -19, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 43}
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id: 2786139
{'charpoly_factorization': [[[4860699264, 20026127936, -8912483640, -96806401128, -45666555070, 51348262032, 17962567506, -12908568652, -1771916400, 1499526981, 18675721, -83655277, 4828066, 2250345, -241501, -24879, 4256, 11, -25, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 47}
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id: 2786140
{'charpoly_factorization': [[[81132625920, -736574156800, 1385223433984, -264442405120, -1081613820416, 628066846048, 75100868048, -114304351248, 10432880776, 7233854120, -1291546344, -179790187, 49529017, 1149338, -835895, 18144, 6386, -278, -18, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 53}
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id: 2786141
{'charpoly_factorization': [[[-6371078307840, 6229091221504, 18738486546432, -30320576421888, 11014359749632, 2815039911424, -2120415937920, 38006697760, 139206558192, -11767322576, -4571933744, 499464390, 84524714, -9736557, -893786, 98065, 4959, -496, -11, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 59}
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id: 2786142
{'charpoly_factorization': [[[23219840000, -1266141952000, 17239997331200, -38719563244800, 7274856046944, 12427563632120, -1850764020328, -1306807197574, 167975768390, 59251667339, -7972852812, -1236267389, 195716763, 10534871, -2393771, -4831, 13219, -321, -26, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 61}
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id: 2786143
{'charpoly_factorization': [[[745488293888, 637292859392, -1904196990464, -1310461657088, 1473123494144, 716965590592, -424496688864, -146536156992, 46539443680, 9799784464, -2505956060, -279192550, 72173778, 3222183, -1108277, -1898, 8346, -208, -24, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 67}
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id: 2786144
{'charpoly_factorization': [[[182187011747328, -263826706668800, 45877888475040, 85141819224480, -34975038803952, -6983743519520, 5131603640192, -50811956870, -289042640308, 17790419527, 8690729443, -586216323, -161009622, 7792174, 1862660, -34330, -12061, -122, 32, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 71}
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id: 2786145
{'charpoly_factorization': [[[-49767477174016, 95338231229056, -25293196437056, -55657050283040, 45086095664144, -7496837487032, -3887203982452, 1681659789346, -73618019776, -71149042905, 13046405692, 241582398, -272788565, 20291980, 1386140, -252870, 6694, 695, -51, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 73}
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id: 2786146
{'charpoly_factorization': [[[166522093490176, -428275295304704, 362647461829952, -73263786464224, -48528625266736, 21580159377096, 1259204392196, -1676179436471, 78235791519, 61638182284, -5704533698, -1190825920, 149264620, 11454636, -1943981, -35102, 12400, -178, -30, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 79}
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id: 2786147
{'charpoly_factorization': [[[-10295566761984, 31791469527040, -10585114155008, -41047135706112, 32135714980352, 1594899253248, -5521989067904, 611563243584, 301782375072, -49497410224, -7268333856, 1481842664, 86652284, -21945017, -510872, 170938, 1314, -664, -1, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 83}
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id: 2786148
{'charpoly_factorization': [[[652944665997312, 1564711107245056, 994771907732608, -151777131572672, -307496212369152, -55067845720000, 18835753039984, 5508825517628, -421356115610, -204451777658, 2743705872, 3890770838, 28918962, -41605555, -530666, 251045, 2802, -791, -5, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 89}
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id: 2786149
{'charpoly_factorization': [[[-50408474451328, -223751870989504, -342358697246528, -224085612910208, -41851867315632, 21792085993228, 10827131555234, 321302723826, -591834265562, -77017574486, 11658517236, 2334156211, -93232738, -31019718, 174732, 211098, 1305, -724, -5, 1], 1]], 'hecke_orbit_code': 72057594071485035, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 17, 'label': '2667.2.a.q', 'level': 2667, 'portrait': 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gVJFrDUlQwjn8ATCKOZn9ZsmMpY7oZ0h4JR6rMyEGye0ix1NCcvKGp+wOZZ2D4fs2luxMa5iM1zEds3GXZuVly5w6eumhw72ebeJwMePpjy+ImETPX49pd1eNtLDHU1x8ET0xw763HmYsb5HNyHFw03Xr3Az797hR0bpji7MM2F5RrLHZ+ljmSlm9EdZAwjweETSxw507ny0YMLLz98+sLuY2cufvHFr317/LVbP/bNhsRf6/Z3msFXVjvEsUEp3nPPI0de8jP/7ZPy7Tcfesm/eusZb2F1EyvdFsudOkudgMVVj6WOYLmTsdxJWFrNOL8KR5YE8xtW+Y/fv8QL9zU4dWGWsxebnF30uLBkOL+Ycnoh42IvZXp2xEuv7fPiKyCQdUIVcmG5xrlFj/PLgkEEaaqpBZpmLWNmKkUDJ86ndPuwa5NPsx5hjAAR0B9qdm6OWFr1wFgpstqHKAWDYbkTs22jT2+oEMogdES75rNzy4jVgeDEWY9Me8y1Ja2aIPQhTQWDSHJ+WXJuyXBhJSUMR+Cn3HRVn5dcLZhv11laaXPqQsjZRbiwmHJhOeXMMhxZMtxw1SK/+P0rbJ5uc/L8LBeW61xcDljsSJZX7fFb6WYs9zVLPcmZHiwv9/j1fxWl3/PaxteCDT+mg8aVXxOYn9UoavX2Nxsqz3r7O8vgv/ZbH+c1L38B//rf/Jtf/vinv/J/fvDPvnzp0ydWdx8605cvvbbH3q0ZWeahtcQYiTYSjAQkIBAYlDSEEs4u1bn/sOTavctcsWNEowa+Jwl8RRB4NOuShi8Z9H0OHK9x+8MBJy5GdNOEA6ciNs0t8+aXrnDtpT1uuKLD8cWUxYGgEY44etbQ6Ta55hLJ6ihj/3FFq+Hx1Am4bKthFGeMsgDPS5hpwTOnQpSX4csUz4dhJHnhFQOGA8m1l2Z0hxknzrbYs1nRbMSsRoaN0wNW+l0++hV49FjG48dG7Nq6xHWXd5mZjXnTTT2+6xWGvZtbZMk0x85MceS0z6nzmtMXE05fzDhyUXByNeF5+xb4j9/fY9P0NKfOz3JhucHiamCZu5Ox2kvo9DNWB4aVvuBCX7HcTbnxikV+8i0XZajE7nNnTu3p9bMXNWd21RvNmS+d2P9Rfv2///k3GzLr3v5OMvjv/sHHufm6Leozdxz9v86du/DvDh46ri6uJFwcKs70DdfuusCv/8QC1++tc355hqXVJsudGstdn+WOx0oPVjoZK92U5V7KYgdOrQi8+oibr17mu18Rs2djk9V+m4vLdRaWAxY7guWOlQgrPU13qOlGhsEoZa6dsHOTBgShbzh90UfIkF0bFXu2GrZuHHBhJeKxQy1ecJmhUV/hycOztJoxcewzN6MZjuDKnSM+/JVpLt+REkWGDVOSJBvSqoU8dXxE3W/y/H0pjx+NubAUsG0uZM8W2Lk5RqmE04sQ+AYhDLs2pcy0JL1hSH/g0x34LHcVy6uw1NEsdzIWOxnnO7A0yti5rc9337LIzVd41Pw25xbbLK7UWFz1WO4KVjqa1V7CSi9jtWdY6sP5vuLCasoLLz/Pe39iiUu3NVlabbO0WmcQtZnZsCubnpn/5fO9F/zidHgou+6F3/nNhs6a298pgB84eIB6rVY/c+b0zru+/sQ7Dx45+0tHjp0BoRgm0BkKLg4UZ3spN1xynl/7iWWuu6TOxZVpllabrHQtyFe6Hitd6PQ0q72UlV7KctdwoSM42zcg+rztZR3e9ELNJVtqxHGDlU6N1X5Ap6dY6Qt6A8EoMsSpIcuwq4EP9dAw3TZsnE3w/BFHzsU8cThEp03e8KIYz1/lof1T7N4Cf3V/ysuuCbnYGVLzFGmWMDsDaeLj+SlLSw1een2Xv/p6iz1b4MFDET4NXv9CTSqGPHEk49jpGp4M2DTjMdMU1ENBEAiUgFRDnBhGMfQGhtW+pjfQrA40S33DMMvYtX3Am17c4W0viUG3WFqd4uJynaWOz3LXY6UDq72MTj9ltZex2tcs9wXneoqFbsYN+y7w3p+4yFW76iyuTLPaa9AZBAxGHmmiabS2o2pb/31z9qo/37Zt28koGg0vu+zybzaUytvfGYCfO3OQTRvngwMHD//Q0/sPv++uex4RF5d6Mk4gSgyDyNCPBKtDwcWh5Hw34YWXXeRXf3SJ6y+tsbhagDxktRew0vNY7Qk6PWOX3F5Kp69Z6Rsu9gTnOpqZ6QGvvaHHTVek7NqkaNd9ur0aoS8BRZxKtBZoA4MRIDQzrRGHzhi0ibntwSbRoM6l2wJuvnZAole58+Fpnn+Zz6HzfTorbV587YAvPRSyadaw/4Thn761y/7jIZtmJbc/rLj5SsXyoMvRU7M8f1/MnU8MSaMGN10VsHfHiGHa59aHFGSCI6c92g0PT8BgKNFGkGlDkgJS4wWaTt/QbCXs2BLxkisHvPYFKXPNGheWp1harbPStcdmpSvo9KHTS+n0Uzr9jM7AsNyXnO8LFnspL7p8gV/+0QWu21NjYXWKTq9BdxDSG/gMR4phLBlGglHS0Ft2XG127Nz7k7t3X/oHS8uL8XXX/N0A+d8JgBsTySwZvvnA45+9dGmV995778P+YkfQH2oGo4zhSNsETaTpjYRl8qHkXCflpisv8p4fXeAFewNWu1MsrLTo9Gus9gJW+x6dnqIzgF7f0B2kdPsZ/aGmMzAs9AULfUiyiOsuG7J5NqM/MLzxxRG7N2vSTOJJQ5zAHY/VOHmxxpaZlCeP1EA3uGK74vrLNWFtwEOHBiwsNrl6d5P29Apff9znxstqLA1WWVlps3mz4f79in/4qj4P7PfYvtFnsd9hZXmW668c8PUnM2br01x9aZ+LnQ73Pz1N3Wtyw+WGfTtHIPs8dkywcTbhwkLCnY/5jBKFlJBpw+4tMa99cUyvr9g6o7n+MojjBsudBsudkNW+T3eg6PQl3T50BxndfkZvkNEdaFYHhuWh5ExH0BlF3LxvgV/8kRVuvCzkwvI0q/06vX5Ib2izwoORZDCS9IeSlV7GwnLEtdfdmESp91M/+A/fcrjVqn+2UfP1Nxtb3/RMZn8woN+Pvn/1wv2/vnzxmdkz53o0GopEK4SQSCGQIkVKjRACKawGldKgpMcDBzfxsx/0eNvNy7zrVcvs2RZzfqlNGNSphwGN0KdZ9+jVJa2hz1TTYzDK6A8zNkX2wumNQpYXapw+ZYhTzZnzKWFoAEGgDJ4UDIYKgU868HjebsHerYad2wZEWY8vPKB45vAMr3tByPVXrvChLxgC0WD3tgGPf12xbVqxoT2gpurEic/FHjRrHts3CR59Jub6fXVe8fxF/vBzQwK/xWteZPDDAV++P+av7mvy9LE6l2xtsHtLxvxMzJ4NCdfszlBK4ykDGBphyPx0SJz49AYBTx7y6Y88BkNFfyTpD6E/MvQH9rv3hhn9oaE7NKwOYWGguLBiaLQ7/LM3LvAPbo647pIm5xZbdPp1eoOQ7tCnP1T0h8qCeyToDw2DkSZNBV+5836/1tzw69u2P7D8lte/8F8Nh4M/rNcb//sCPIoGgPiRI4fvf8+ZI7fNRsMOUoTUAkUcGrQWgAIBQmYIAVJqpDB4wuDJjEBKHj80zyMHmxw8e5G3vqTPS64aMd1qs9xp0OzWaA8D+gOPXn6yhyOPQeQxigyjWBMnhiQxpJm9x2mA0SCVwPcEtUAw3RLMtGDzBs32TQM2zHT44kNw1yM+Uk/xuhf4PO+KHvc8nRCP2tz8PEFnOOTiUpOb9mk2TA+oeyGjVLHQTVBa8Lx9Ho1WxMMHarz8+ilefF2Phw8oMFO84KqAH/72Zb70aMztDzTZf7LGznnF5tk6M60GUy2oh+B7BiVBG9h/TJBlgiQVxClECfY7RhnDSDOKNIORZhBp+kPoRrDQl1zsQaRHvPr5y7z5JR2+9zWaNG1zfrFJb1CjNwjoFeAeSQZDySASDEaG/jBjNMpsrKINZ86e4+Of/MJs3cv+85te/3Kv3x98sNn85oH8mwbweLSMFNkPnz1+93vOHf3KxnjURUjbWBv4mnoIxuSWn7BLsRSgpEBJjVIGTxl8pan7gsVBnY98ZTtffqTLy65Z5d2vXuWaPX3mphssrTboDUMGQz8HtrL3WBAlkiQVpKld6m3tlg0qPQ9qATTqmtlWwraNA1L6HDqT8NE7axw91WQ6rHPjVR43Xdvl/oMdbru3zYsuq7Fzy4APf0WgREi7lbDaj9AGlID59oBuL0Cndd78sot85K8a7L1Q400vGhAnS9z5xBxJVuOFV23kTTd2uWxHhy8/PODxUw0eOxawfVYy2xY0QkHg24tQChDCoA1obUjS/GJNDFFiL+RRDMMYeiPBSiRY7oHwRjz/8lXe/dpVXnZVxly7xmq3yWrPsnZ/5DMYepa1I8lgJBiMBMPIMBhZcI8iSxKZFgS+z8pyhz/+89s29iPznu94w0vN+YvLv7d54+z/HgDXi+9hdbSdZPXPf2A0jN7bvXBwQ83r4TUC4jTDGMi0yIEmEJBLE4WUAqUylBL58qzxPUPoGeqeYGWkWOrM8LE7mtz3ZJ+br1vl3a9Z5fl7O8xlddI0ZDCq0R/6DCOPOFEkqSTNJJkWaGP9cykMYaBp1FLCICbwI84sRXzuQcnh0wHHTs+gdMjeLQFX7lG84IouKlzgiSMttk03uPoS2Dy/wnK3zTXbJKk2fPGBkGggmW6mvP6FIz57Z8LJ8y0uv9Tn3OqIp4767Ng0w3V7Frjn8R5ff0oQxQFX7Jnlih0hV2zvceTcMofPwAPPNDh0tEnDE4SepBkaaj5IaYMqewwNaQZxCnEm6EeC7kjQTSDWKdqMuOGyLu9+bZeXXZOxZTZkNJpiqVOj1w/pjwIL7JFiMFIMI8FwJBlGtm90GGWMintsL6I4NfbvpYqjpzv8zp9+deM9T198b73ZSH/+fZ/90DOHz/PRX/vhv78A/ze/8luIuY+QHXvj95rk6G8knbPTNa+GadYYJaBiDykMCIMQCgFIIZFSWuZWCk8JPKXxVIbvCQJPE/iG0Dc0gozpmqAX+ax0Z/jEXW2+8tiITTMD3nlLhyt2jBgN+1y9x7BjsyJKfLJMlWl+gUFKje9lnLhgOHZesDrUfOaeBmcWZzCxz0xNsXXOY9dmj0u2wdV7u2i5yPs/22R5eYoXXeFx9d4OX35MIFKfjTOSZiNlkATIPBmlvIDOSHBhWXCVaXDLC3p87eE6WzcEvOjqWf7Rty/yB3/V44EDTfojn6XVFnu21rl8y4AX7uvxnS/vcXZ5mc/cE7I0CDlxzufMmQBfCaSUCATaGDINiTZkqWZmLuHaqwZEUcIVOyLefkvExinFbCskSWqcW6gxGAYMIj+vviyAbZ2SYSQYRdiVoAS2ZhQbhpFhlNuVo0QQJTBIPU6c6vLg0Xs3XH3Jxt+46QWbko/+2t4/XTzxn9mw69/+/QP4j//Sn9F6/rvE9/2UfMe21hMf+O6XP9W4ek+YMzQopfNOdWO1NpQ/kxKUlDm480dP4HsZgScIfE3NN9QTQyM2TNUyZuqCQSzpxU2OnW7yq386CzpFpCkvuHbAns0xaQra6Lx+RdiAVgk8P+DAyYD9h2s0ax6tQLKhIZifk2yc9dg6r9i1JePyXatkYonf/GSbEyenedE+nyt2ZwzTHvc+ETJd95mbMky3Yhp1K4W0lnRGiuW+YamT0enXeenVqzy4f8AzJxXT7RovvGqaH33zEv/jU/Dw4Sb9oWG153Fhuc3mDQ02zozYNTfi37xjQLvR4fFjcOCUxPcNShmEsPU4GMvmaQq7N2fcfE1KlvgkaYgxDUaxz/nFgGFkV7RRrEr5NowFo0gwii1rR7HV8lGsiWLNKNZEsWEYj4N7mAj6iWA1EXQSQzoYkvQenn7LjRs/8JsLC6ls/NDHemdqprXtn//9Afg//qWPsG3TrDpw5x+97eCxpQ/9yQOLtcf2T/Gr/6TD5Ts1UmqUtI9SBqVDYh8NnlJ4yuB5Mge2IPAVkS+JYk0YZ0SJoZ5ookQTx4Z2ClGiiVKIU8EokURZSJLVeOZwk8eegcwYdH4hKQG+hEDZmo9WCFdvgXYdppqSmZZibtpj4yzs3ByxZX6VxCzzm5+c4sjRKa6/RHHJdsne7St89amUC0tTvGCPZKatqQVDQhlilCDNJMIY0ixmpV/jwpLP9VfUed6+Hvc8XGPTjKBRa3H9Ps0/e9sSv/EpzVNnWqz2Nas9xcKKx4bpJjPtOjPtKdqNhPlmwq7rY0I/xfdSlMrsSggY7EWVJIqLCx5JqkhSRZwooiR/jCVRIoliySiWRLFl4VEsiGJjQZ1oosge5yiXJFGsGSXYiyGBQSLoJYJOIunFGXo04Hm7V3jPP1nkNVefbfS73ofM4E+1CPZ8snPqfdnUjp/81gf4L//XP2OuHahDZ8+9/fjxc3/48NOnaqI5zRceUPgfEPzij61y5bYentJIZYGupNXXFtwGz8tB7pm8hkTYk+ALokARJxboSWKI08y6IqlzzyDNDFmmybTV+FpTglsIUBI8Cb4PoSeohYJGKGk2FFMNycyUYONsyq7NA1rNVT75tZg7n5hldbHNtTsVu7b4XLZjRCZW+eIDDZq+x/yMotUY8cQRePqoxzU7DINIcd1lCdfuNZw/l7GwEjAcNXjDjT3ufnzIoTOKZl0SBm2uuUTziz+wxB1PDfnsHRtY6hp2bcxY6XhMtxVTTZ9Ww6dZN9RCTRhoQi/DUyYnC3sOjMEmrLQg1ZI0E6SpIEklcSpIEkmUWOclTgRxYohjiJKMONHEDnFERdCaUF4EwwSGqaATSzopDKMEmQ64fvcyv/Bjy7zxRk13MMUoOlITQf2PE9H+wURv/fjxp/442331931rA3yqbmSv333XhdOnf/vEkZO1uaZPJ4GRaPOXX1fEkeLtr+zyjlf3mGkn9FUjB3ju83oZvufhex5hrBj5Odv4kjgQxImwJydRJCnEibQOQlrZfmmmyTLrLmQmd0pyt0QIkUsgK3sCTxAGklooadYF7YZhuqXZNBsxP9MjNat87G7JH/zVHBtrNa7dKdi5xWf3Vs2uLSt88l7D8nKNKzYrZtrQaiRcOC65uBIS7IEoEcxPSaan4dAxw0pXc36xxmW7a7zqBT0+d1eNuRaEQYCS01yzV/Bjb7qILy/yl/fM8PSZGpu6CRunU6aailZd0ahL6qFHGEDokxOCQQrrPJUgx17YmYYsE6QZOdAhyWyAmCSZJYVEExePiabIKMepscBOYJQKRjlr91JBNzYkUcxU2OW737DEO27p85rrodNvMohqRFHIcOVMLVXTH8Bveojgz7A8860J8I9+7NNkmf6Be+4/+mvHj59sb2goerFGCsmqCBgJyRcfUNz7VI1zK0v80+8cMtNOqQV1uoManpcReD6+5+N7GbHvESSKKJHEvk2lW8YRlolyVkpTSDLIMuskaG0DLq1N0cOZg9sCXCmBpwS+ZwFSC6FR07TqKdOtlPnpIRtmVvnaMzF/fFudA8em2T3ls3czbN8csH0TXL6zyyDtcv/+NnXlMz+jmG7BdCtiZiolCDyEsBfXMApY7iasDgydfsrFlYCdm1u8+IqL3PbAgANn2jTCBF8FCDHF3m2K73vNIjdcfpE/vq3F/U9Os9T32NhOmW6kNGqSek0R+oLQl/i+jVWUIrcPLcoNtodVa0qgp5nOV7fcWkw1aWbBnSbkzkh+T6wrUwB7kAO7l8JolKKTIXONHj/5Xcv86+/p0wgDOt0Gozi09yhgEAWsdM+0VS38zakNVwf3f/1zf/Cim7/9Ww/gF5c6KCl/5MMf+eR7Tpw4Ped7gjCzPi25FdcRioFsshp5/Nqf++w/ssKbX97nluf32LQhpterM4wCfD8gDHyi2CNMrL0XBxbgSSKJU7vsJmnuaWfk1h85c0u0oQK3TVLmzA2esgmTwDfUAk29ltKqpcy0I7Zs6HKhM+B9n/H54oOzLK80uXResHOjYNvGgO0bBXu2jvCCVT5yp8fRU032bZLMtCRTzQwpI84sGEJPIgUYI4gTj10buzxARnegWOkaLizX2be9xnfe0uHjXw44fiHE9xKE8NGmSZJKXrBnhV3f0+WLDw/48Bdneeh4k20zgg3NjGYtoxYIQl8Q+BLfE3gKGzhLUdZkGOxFpg3Wacks4AuQp5mVdBbsEGe21iUukkepYJhCL5X0EhgmmmwQsX1Dl1dcv8pbXj7gjTdqPNFgZbVOlAREcUAU+4xinzjxMEaxvHRmrjm1870vfsl3qDRe/aAXTH/rAPzCYocw8P/RH3/irvfceudTG6PEIITA8yA0YNBIIfLATtCXNTqxx0e+WuOOx3tcf0WX73nNgG97UYcNUwGDUY1hFBD6PnFqD1IRKKWpIskkaSpJMkGaSrJMkGlRaW0tKFWJyZ0ZAUpZ18FXmsDXhEFGPUxp1SM2TPcZJkO+/ITho1+d4v4np5kJfK7ZZtgyK9k0F7B1XrJ9U8wl21Z4/PiQz9w9z5TymJ8StJuCdiOhM8j4q3trtALrDmkDw8jjzTdHfP4+WxPT6Wsurnhs39jirS/pc/8zPfYfCmiGKUoKC3LdYBRbrf99r+qwb8tFPnJHl68/Pc3JlTqb24KpmqERaGqeJvDBUwIlKZNklsgt1HUu1bSuVrg0B7olCEgyQZLlwM4Eo1QwSAW9DKJYk8YxzXqft75uhe95TZfr92VsmvUYDpt0e2F+rnyiHNhxrEhTAQhCT5P2H9m4fK75npktr9VJtPL7fjjzdxvgi0urrHT6KMn3f/Kzd/6Xv/j0l+Z6nVVaDYnIXQp8UwFMgC8glIK+9Bn4itPdgLP3NbjviT4fv6bH21894PU3rzI7HRBHIVF+0JLUI8mBnmaKNMsTNlkFcG1y5tZVTZnIbUir8w2epwn8jDBIqIcxrfqQjCFfeljyp1+Z5sljU4gkZPeMYcu0YcO0Yn42YPMGydb5hJ2bu5xa6PE7n22SRnW2bxdMtzzaTWg3EoQf0x02mW7Zi9wYSFLJbKhIdUovCegNMla6ijMLda66pMWPf8cq7/2zkBMLTTyV5BeGR5rWGMWSzXMhL7i0y7WX9HnqxBk++tU6tz00zdlOnWaoaAXQ9A2BZ/AVeNKm84UYr67TgNH2osu0IDOQZsL655kgzmySaJgJhhkMU0OapugkYq425A2vXuWdr+7ysmtSpuoecdJkpRMSx9U5ivLzVCTVkkxijF0xk2iZowe+snFLFP6XjTtuTnudU3/k+23C+t8em/+tArzXHzIz1XzLl776wP/4xKdvbyfDDu2G1YIWXCAyyuDHkwZPGvxMECpBPRUMVMgg9bkY1fjL+5vc+dSAF97e559/V48rd3bZOK1oNzziJCBOfdK0AnlWAFzbDh9jyPs0q78vRZHm13heShik+CqmO0xY6Cb8t0/WOHZxhof3T2N0wFxdsHGDYcOUYK6tmJv22TQn2TyXsm1+wNz0Cl98RPPQ09Ncu10w05K0GpJ2Q9Osxwg/Igw9PGX/vjGQZZJh5DEcJaRa0Btqen3Dctfn/FKbmy7v8+KrVvnI7TXqywpPJhaQxiPNAuLE9nhumK5xw94+N1za54FXnOXEguSPb5vm4mqD00shgZI0fUFQyDBpA8+SyAupgmXy1AhSDYkWRBmMUoi1gSyFNEGqiK0zQ67dZc/HjVdmtOseadqk0wuJkoA09fIVtgC1l0tHh4BywjFxSLQ0pD/40lxm/P+xeceNK0ky/MzfJib/1gD+5FMH2LVjs/rN3/7wpY89caA9Gqwy3Rr/32sNmQSVWX9bpeBJgZcZggxCaWhowVAJBl7IMPNZiuvc9tAUX3t6SDOM+ME3dtg+l7J765Cbru7hCdsiJoSVK1nZwiZsb2R+ExiENChhvVxDCjLlqWOSB5/x+Nz9LZ462SJOG7Q8xXzdMNs0zDSM9cHbHrNTHnPTgs2zKVvnh2yZX+HOJyPe/7mNbJn2mG9Du6loNwWtRko9jPjaQcUo9vCbFlTGCOJUUvMUz9835L4npm3h0zBjteuzuBpyYXGGH3/TBU4vLnHfo/N25RMJGnIA+USxpD/0mGnVmG43efG+Aa+4dsD3vHKBZ05pPn9/jfufqXPwaJNUeESRYpAolJAIISYCzzwnYDSpNhit8UXGVBBTI+HF1/fZs2XE9g0J7359RD2QNOs+cdyg0/NJcraOU580s557UhJPDu5UVCURuWQkkYBHf9AnfvLu9tLChUuvv/ld6vyZw9nmbZf+3QH4008/zfZt88G99z7wQ4FKf23YX2a27RckUQZ4Otd5SgqUtgyeZAYv13y+snZVTQkamWCkYZT5jDKfQVaj18v4Lx+ZwaQJm+ZHXLVzxNxUyttfNWTnxpgkKQ6eBIe5EZSViEIKPnFHncePNBGex4mzDc5caFCrK6ZCwXTT0K5p2jVo1QVTDUW7pZhpecxNw4bplE1zI7Zt7JKZVT5xd5thv8ll2w3thqLVkLTqmlYtxfdjvnhfjWgg8Tfa7GwhUZp1xRteOOSuRzT9SNIfZnQHHqs9j/NLDa7c0+LtL+vy8FMNTiy3UFIDSa6XfZLMukmjWNIfeXT6Aa16g2Y94srtI150+YhTFzscP7eK52c8dtTj419tIJSy4J6cP2g0oMEYkjhj16aUd75qyIZ2xuW7DJvmIEt9orhFmtquqTTxSDIvj4NsAsmNidJckqS5CZBlgjQHuHZWV20U3UEHr65/7eknHxpMz+/5g4MHn4n37bvi7wbAz587TWd1cd/JE6fe9/hjD8mppsxtOVv0o7XJv5TB05V9lynL3mmeiPG11YBJZqhpQyMTJNoQZ4JIS6JMEmufRMNCv81XH9cYMj59vx3ZgNH5vcji5RaZsBWJQkikUqSJh9QevidphbBn3tD0NY1Q0wihEQqadUmrbuXQVEsy04a5qZT5mYit8z0yVvhvf1Hjnic2sncOZho5ezckrXpKox7TbAyp1xuESqJkrsGxxyVJfEZDwTDK6EWK/kjTG2rbMtcMOH1hipdeFfHP3nGBX/+4x8nVECE0xiTozJCkPnEiGUW2jLU19GjWAhr1Go2wQS1MaNVjXnBZTOAn3HhZyrtfPcBTaZ4E0ghhxkV5DjqtJUJIQl8BAaPIY2nFs3U7WRHz5LKwAHGmciAXd8vYBbgLgBcevO1Goky8pSmcve8hecXV6n3zy4O7kzh68m8Dm/+vAX7/3Z9kalrWjx079LbTJ46IuemAKBUkic4TLLZOWGd2GcwyQ6YEKrORu5dZKy/Nq9+KKrhU23asMrLXVh/auyDWktRIMu2R6JAst73cW5mlFOAJYTOVCmp1Q80z1FRG6EPoQS0w1ENBPZA06pJGzbMAbwqmW5rZdsrcdMTG2T5bNy7x/s9pPnzbJnZMKza0NO2motVQNBvQqGe06gnnljRHzoXUAlt+C5TVkqPYY89mzeYNI7qjgGFeW90dSFZ7Hq16jVZjmne/+iJHz53nA5/Zhic9DJpMZ6Ta2CAuVgxjWxQ1qEkaI4966FMPMzo9G2MEfobvZfh+hidtAk3KrGweESKvW7FHLAe5oKMLSWHjmiyTaC1JdRHMqxy49r00tc+T8j2bMU11Du48uZTlzlaqyaWL9dcHQ7jn3kfErl2dt+3YufvIh/74Y8Mf+L53fHMBPjMtguHg/M/Eg3M/E3pDOdVUDCKIVZ50KUCeAz1T9tHLRA52C/DCpirAXlhX1d1Uafa8Us56uaIMlFzNDUUwa/KAVuNJ8hpy8JWwpba+zV7WQkktkNRDRb2maNUlrYZhqpkx3UqZbUdsmBmwc9MS9x+M+MgdW5mphWxqadoNYcFdlzRrmmYtpdWIuP8APPZMg0vnTa57q7T5MFLceLnhsp1DHnhymkFkGI4y+kMvB7lPo1anXpvmu1++zGMHL3Lf/s1gFFpn9uJPDWliynqSYeTRGBnqNUUt0ISBTxhkhF6REc5LIIrCtry4DWEQVHquCs4t0+rCkdKF/epYsbmuLgGsCzlCKUnSEtjV+zbJlNuRqcmLuQzdQV+m+uz/pWUjaDZbvwzE3zSAJ3FfpsnwFx6994/+1aB3OqgFNTJtjWYlbXYwSS2QU13UguTJBUX53IJX5K+LWpEK4Lq0sgw61/JFssIYg5N5H1txC7emSOgUn8lX4JdFWzb7FwaKWqioh4JGXdCqG9qNjKlmynQrYm5qyNb5Fe47MOQX/nATJ09Pc8kGzXQD2nVFs65o1qBZy6jXEgJ/RGdkUFLhK4OU1SfLtMiDr4B2PWGQagZ5nfVglNEbSDp1RaMXUgtb7N6c8Is/1OE/fEhy7/5NGBTaaLJMk2YpcaqJE8UoVgxDST1S1AJJGBjCQBF6Gt+3fr+njAW4ytv+cpkihBlv0M1T+yYnEVNqZzfHkKf+c7bWugJ1cR5LsOuKvbMc2Km2yaQk1cSxZhRnJCkcOnYmEH7rp376X77J7/UG/77VavyN0/l/Y4BHow5ZlvzymaNf+T96K8drga/K2g9jbKuClKCU/ZIqM/mVa9AlqItMWgXyKq1OxdIajDZkZVBCzjKl3B4DeC67q1LbohNIWbvMy1vRfE8SBnYAUC20IxnqoaFZ07QaGe1GwlQrZrY9ZOv8Kvc9M+A//MEGDpycZdesdVhadUmzIS171w2NWkajlpBkMX9yewupFL40KFHZhNrk+jTz+b7XrXDrQzG9OGSQA7w/VPT6ik7oUQtCQr/N5TtSfumHl/j5PxB8/clNaCPJtJWBSWoLzaJYE9VsuWsYCmq+IAxsZjPwTJmxtYVt1huXwthGiQLgVcoTyI81NpdQfPYS2E7AWCXXKAFdrLiZA+wK4KYsE0jSot7FlguA4ukDJ2of+8wd//J7v+s1Ynml+7OzM3+z6Vl/Y4D3Vw+AMS9ePPdA3ZgYpXw8ZQh8badMAVIKkgxUBioVZEqMgzozaGVKCaKLe952ZZm7eBTWiSlAXRz4ic9V1pAXdSaSqpgqryO3AJf4vrT1G4GgFtqZJ40wo1m34G43Y6bbQ+anO9z/zIBf+P1Znjqxge0zgrmmI01qHs2arV+p11LqYYzvR5xZmsFXtsXO2nJVkJllkjRVbJkxpGlCN6nZxoFIMxxl9EaS+kBRC3wCv4bvTXHF9pRf+kcL/NzvwX1PbyTTVgImmSFJs5zJNVGoqcWSUaBKCeb74HtWotk6FYMnyWUKiPxxHYxbuUIev+cFWzqXWlmZDRXVaqvFuLwsgV2d6yx1a2CKvlj7ngEGw4gvfvnB+hX79rxYyL/5jhN/I4D/37/9Of71+73Gz3/bHwTK9FAyQAqTV/9JAqMB6TQr2AAvzZewTDkSJCtAbcq0cSlDiuclW5uKuZ/ls0lRFVFJaS+yAtxKVvXkVp5AzYcw0NRrhnpo9XOjntBuxEw3h2yY6fDQoRE//8EZnjgxz9ZpxXxTM1UXtGqSRk3RqAvqNXtx2FR/zH37Bf1RQE2RX2RWgxdNCJkWJKlHs6a46eoe9z/VZpBU7WCDoaIXKsJAEfhBrp+nuXKH5ld+9CI//bvw9f0bSbQk0Tpvlq56MKNAEgbasndem+LnF7e9k8uUSsYVzSbrgbxIChlEmf2salrEWAFXJSmx5oJ2VunMeSxqX8qyZpPXDgFCcuJ8h//4258N7vzwjY3ehY8MWpve9b8e4AcPHeeyS3dM/+Jv/sXvPHk0ffnmtsYg8vS3wVdF466tGrRNwoZUgtICrSzQdR5oaE9UbO2ytwNoXQK7agom197lyRB5/6YsejhFCW4LcCuXfM8yWeDb5uZakBdYhRn1XF606hFTrSEzrS6PHo74+Q/O8NjxjWye9phvaKbq0KwJmnVFo65olOydUQtTWo0Rdz4WsNqpMTNTpckLwOg8KEsyxcY5xauf1+fOB7VtHIi1A3JJzZfUfA/fC/C8OlJqrtxheM+PXuSnf9fw9QMbSbRHklcA2rJXy+RhIsvqwsCTeF5ehCUFyiuODeXnKy7CQqqIoiqNKiE0eR8DuiMp3dXYlaUF0NOsiLdssJwU1nH+/5ACdJaxfa778hPPXPy9+d3f/xOLCy9b3TC/438twHudCzz5xPJPz3LqXRfOa+qygdaUANfK4Of2qsznl9hm4UJ/g6cFmXIPRg72QmNrF9zPwtw50ouMXKm9ZVFBV+nuomLQU9j6DM/g+7axuBZoakFGvZbSqCU0axGtxojZqQ4PH4z4md/dwKNHN7Fx2mdjI2OqYXJw5+xdk9RDy/61MKURxqQ6oheHCCXxCwYvNXiuWXWeCEl8msHIlgvENWYKkI8yBoFl8DCQeU18WLb1XbPb8N6fuMC//W3N15/ZRKI9okwQZzpncUEt0YS+IfBt76qXxx2esudDSZkfn7wrv3h0CrPKC9ONdSbAXZKQQ0y29h50ZkuUi3LlLCezgsUra7iKvcAesw0tMJ0ut9259K4XxY8eSdLk5/6XMvjq8immZrbu+uqtH7p2Q+MCSoQMI2s9Cewy5xVuqgAhdA7uQn+J3D1hXMfpYtl2D5hwmKLKShp3zSxY2w0qi+U279BReTDleXZ18fMipKJ6sOZnuW5OqNciZtoDppo97tuf8rPv38AjRzcxP+UxX8+YqhlaObjrNWsnFuCuhxm1IKXdjNl/3HDHw00CKfGVzoO4yqMolu8kU6Ta45YXJFx6SZ8jJ+vMN2AUG3uPMgajnIU9hef5tsRBWu/66l3wKz+2yM/9rubup+YZJXWbDEsNjbyGO/SxIPeK1UuXva1SZeUKp6RwAC4ckDvL5BqQm3GAO+Au3puUnVW8VchTcoetYG/7b6WEQFmf/K77T7HUv//af/XPf3TXkWOnT+zds/1vH+CLC+dR/tTuIwce+K86XnpLze/ie0WGDhAGhSnlgZBWIhSRdhFgal1IEjHukkyA2mWHNQxCMVBiHXALg1SFLWjKtjc/Z+7A0/i+JvQ1YZBSC1JqYUyjFjE7NWClN+CuJ+FX/nQzjx/ewIYc3NN1Q6suaNZE6ZVb50Vb9g4swOthRJxljIY1aspeZFI4Sz9FtjBPhqSe1fJeZJt4E+EAXBMEGYHv4fsSTymU9EuAI+C6PYJf+YkV/sufpXz9mTnOdtqMmpLpzNBKDbV84kDom9z7L5wUU7J3IVUKgJefN//QojzmTuCZn5RqZTWlNh8DuytZjJvdrsp0Szu4NBRyItC2A+r8Qp+588tvufOur2cvuel5//LM2bPHt23d+rcL8O7KCUZB/UUL5w+8bWXxEPWaZ92BIlkAGJmDVwqklmSy+BLCibKL5IEpH40uEjamlCHrgXtSFRYnwY57KNjb5PLEOMOBbFms7+l8zERWgjsMcnDP9llYGfKeP2nwmXvnWezPMD8lma/l4K5Z3d3IA8t6KGmEJmdwq71rYQzEfOXRgJUkYC5krB4bMb5CZZltfmiHHq+6fsB9B2J6SchUYjvWR7EmiGyteuDJsvlaSR8hbYIGA1fskPz6P+/y+fuG/PLvb+L04gzDaY/pQNBKNY0UwsSOXg6UHWjkF4GmFGUQXDy6gbp7YQpR9oqMSZWiU6hacY2jzfPnOi/o0mu1eunEOMRWBeMGKSSPPnGIbVs3va3ZbP5JfzA8/rfK4Encx/Mbl507fte/iLuPMNUyKJWVtdXFzRTRdA5cVTBVUUGmITPjxTaWvR1w5yd/jLVdWZIf6IJZqlmF9rkqAK5sKa7nFQOC7LyTwM8I/JRakBAGCa36EM8bcOdjGb/3V20+d89GYt1mY1uwoWZlibUAC59c5XeRM7fL3gmeF/G1p6cZxB5bGsXnmWTwQppJklRR8xUvvnJIqi3Ah4lglDid65G2waEncha3F7LI5aBBsGFa8K5X9mmFZ/n9vxpy19NznE/qDGqSdmpoesaC3MvjEGXyuMSURoDMV5uydlyCpGLxsXPtPCkZfIKcjAPuArx6gqkroE8AHEBXf9doxe13P8m+ffv+xVve9NJHur3BoXbrG4+E+4YAz0YHWDn3GfxweqseHXhFMzhHzatbOYEo/WhKiSFKbV2xtftokwbaAbdxUu3jzO1YD659JcyENCmycuQjKCgnXxXM7StbixH6CUGQUPNjGo0RQTDgT2/z+NU/2siRhVn8sMbmlmA2zGiHhmYIzbzDvh7abGctTwjZ+pUsXwmsPFnsZvTjgEApAmnKABPnqxTlBVlekBSnPnV/xObpIauDFsNE5OPWbKzg+1lu86nc7lQW4GOBq618fMvL+tx41QK/8scjPvzFeZbTJoPQp+lL2p6twQk9q2+LZgivSPrkK58spUqVAHJJxRUrpvwPYwDX7nM9yeqsBbgjUbVZ+//VRnH2RJe/uvvAKy509daFpc6hh546zg1X7/5/yeAmY27bLbuj7qPvF/H9tJopSRKRaZWfqByUWozXL4yxuajSvUaM6W37fu6vluB2Sl2dm8BUbJJn36QLcGny+Souc2c5yFMCz0qSMIgI/SHHL6R84PNNPnX3HEcvzNBu+MzWYCbMaIUmT70X4JY5uGWZFKrl2jsM7IXTbkZ88mseh07UqeUTuMp2MSqUl2McTF6clHpcsQu+/cYev/eFOfoNj3ZiB+qEcR435DkGO7YOB+S+c67sqrBzg+Rn/+GAa/ec5nc/N8vR81Msp3UGvkdTCRo50ANp7IWTu0zl6lcc18I+xOrzKtNpxvR4+edzRFcl0hN2YvH+GLhF9dz9fRzHKQ/Ke5nPp+/azw0v2Pf+d33Hi994can7DaXKcwLc6AhEQNb70nYzum+vJ84TBtMomZBmWTnyrGDuEuCFJHHAblxZUv6eC+wJWZKfMArGLkAuKmDbx8KKNOVQzmKuii0wSm3njpcShhGBF9HLYt73sYDf//xmzixNo1Wd2SnFbGCYCjSNnLkbZfpe5nUquTTJvfMS3IHNXkZJzKHTIf04ZCbMXZwi6VS4EmP6Mq9JSTzaTY8922NUOKIXtxgGgno+ZCfI5ZWfSxSvcD2EepbgVTE/NeDH3zLgbbec5/c/3+UDn5hjcdhk6NWoeYqGJ6grQ5gay+bSlAm5oryhyHKuYXLG5Uq5ijuMXkoVKkCXq5cu8gFuR5EYZ3gqVk8ziDX0jaR/foXb7358b6vubX/Xt910fBQl1EKfZ7s9J8CT0VmEmprPssbH+ksP+EIE+F6SZy3z1rAC5A6gx0HsvHYY3CAmJEn1/jqXmmMHmhLYY/JE5lVyKrMA9zI8lRH4CbUgJvBjOqOYrz0u+dPb2nzi7jlGWYsgCJgLBNOBphkYGqGhEVTgroWSMJSEuTSxiaHcmcgBHvg283nsnOGuhxrEiU/YNGsCzOJW2aO2FDVOFL7v8eobe3zkS30OnG4yrNl5L5FvCFLwE40fa5SyyTMrI2Q13MdlvLyktRF6bJoe8m+/e8CVOyM+fFuLB/dPsTBsMlIBvu9R8wR1abupfGUsmxdSRVRSpQo8x8nGBXn5OXDO56RsmWDrzEwA2wgyKumSGkGiITKCoQbth/zFV5/2v/ctL/3YhYXO8xZW+gt/YwaX/gYZ95540WDxL6e0TpFS4HupBVReI2y0nGBpOcbkxpUxLvgLGVICPn/uYqFgPGGQBZOXKWVdlnta3W3yYUH2XsgRz0vo9BPueVLwh19oc9vDUyx3Wsh6jVZdMe0b2oGm4RsagaEekLO2Ze56KKkFilogqAXkFXo6B7cm9K3+Vl7EwdNwplOziZVc344nTioAFKyV5dOm4thjU1tw2Y4hT5xMGSQ+UT7jO4ix4Csn6xaJGjuc1L258Y+tzbb14e989ZDXv3CFLz/S40NfbPPg/jZLvQYdGdAPPAIlCKQglNgeTmlnsCtRXaRK5GW/6wF8kpImdHm1elcSZLLcuUj2ZQbS8i5I8udGaxCaOIb3/ekdU/p7eNErXrjvCzzH8KDnBnh2LAz8+LcT/XTT+DHFSEyls7yarQK4yeuF3X7ISeliJoBuHK3tBhUlvssDWLF1yeC51i5mGiqZoWRGULgZMmGhl3LnQx5/dU+Lz9w1xcVuE1Gr4bd82h5M+baTp+6Tyw6oByK/y7zkNNfdgSAs2LsAuJcSBCm1IMaYhK88HHLiXJ0NswJf6lzHiqrR12E7oyuHKcsUw8hn1ybBq68f8Kl7Y/qJzzAR1HxDkFoWjxLjrFKq9KsRckymmPJ85I0K2vrt9TDina8c8tobl/j03T0+f0+DOx9vcbHTYCgChoGH5ys8IfClwJcSX5hcahkkIpdcZvw7TXw/91xqXF0tJsBdMXgB6swI+0hhMRbZv6JIRaO14cEnjjYH0ct/+5Fnzl0JDP+nAb7S0ayOht+brN4xvaF1BpMpsrQodldoo/CMI1EKYGs5AWxZAZtxoI/LEjeFY8YOnHCALYTO7UCNKOYYehmBl1CrJYyijANn4PhZxUdvn+ILD7a5uNIEv4bX9mkoScs3tDxN3TfUfaj5Ftw1384ktGWm0rmL/OcmB7kuQR74tj3tyFnNE8dC8P18mTdOin48Legu2VWnix3nfM2eiKu293nmTINhTdBIBWFiiBS5tadz9i7clMKCrLRK6bPnVqTWKp8+YIfv1OsRP/CGiDfftMqtD/X58y81OH62xjNnGsSrIWnoMfI8pJI2nU/+9/KA0xOONidv6J5kc1OtVsaIccam0tlZDm772mY8c9fCXh5aA6kFeJa3JKaG7skBTzzxEGc3NJ+Lo58d4IurqyKO43/22390cPqyzTVetC/hhstjAl8gPYGO7eAddyPWAuDGkSmGQrbkQHa63ScDyxzTVaSeZ0glNqlhJYm2ox9kRhjaSapplnF+CW7/qseR03XuuL/OmZU6R842IQxRDY+ap2h6hqanrYvg28H5Nd+Oa7MgLu4yv6sc4OSaOwe3nxH6lr3thRVzbAH2H2/gy3F7sJQoVPXgpR4tGwiKnkafq3YNuWzjgCePpgxSn1YiiDwI8pmAygG4lAIh5RiTg+tQODKo6JvMFEnmE/kB7XrM970u4mXXdjmz0uUrDwQcPRVy68MNzi7VyIY+WnokgQKp8sSP7cqX5BlPxuuBXCp3V+cxqQJVo0qZ1dHjoDYayPtsY9vuJbwUqTJeeFXMiy+LeOUVX97w6tf+9L/4P7/vyHtFsHcd3+05AP6eD36WNM34xGdWQW9kz5aIa/ZEvOKGEVftSdk6q9m7O8EzgiyWaCybu4AfkyLaBXXloVcXvCj/SxmxV6xdShGV4YcZSWY4ekrwxFHF7fc3ePJYwNPH6nSjkCgOwQ9QbZ9QCRoKGp6m7vjAoVfUaRRls7YuPMxlSRAogkDmF4CptLef2cyib3V+LUgwOubCsiQyoS0XlgbPsdkm6zoKkGdmvN8xTn0EHvOzMVKN6Cc+A09YpyOpCsbs5F038+ga7dIpa5UVkzuDkfxMleMnBlHA5pmYnZsSXnBJxDAe8oPHOjx5POD2+2o8cazG0ZMhSephQoWRCoQkk042yE3mT2oVN7tVPhbOgl77qHNQaw2JxhMZe3cnbJtNuWJPzC03RFyzJ2H3ZoMia6ad29+VCu+9/1MM/pt/eCvnFrvqE199QgxTnyRp8NiRgCcO17n1/oQpP2Xn9pRrroh53Y0Rr3p+DEbje1BvGozOv7QWpIkFPI5Esd99cmyBBTT5/BLfMyBsKUASGwYjy+jHT0v+7LaQQaJ49Okah0+FLPYDoiwALwDlo9qKQArqChrKUFPYcWYqLzxSlrUDX9ikhwtuXxLksiQMIAzIXRObMvc9TeCneUY0oV6LubiScfvXW3R6ITNTAi+PD4qir/WCsWIVLgNCLYkixYY5xetvGnHrg0NOdpoMfWlligd+avCTwrPOPXaZ5bthuLNOZPk3tPGcv2GBHmSKzFOkviLJPJLEt1aqn9AMEl52TcqLr4x46ytGHDwleWy/zzBWfPj2BsfO+yAkg6FHFquybcp4VNkgF+VjAC/cBF0+itQgtMHkWrveTPF9jTCaV10f8bobR1x9ecKu7SlTvq0wRNtVKE4Ecf8pocOXqaXTn07ntv+Dvz6Db55rvW84iK9LhAcBYDy0TlkY+CxkGceWDV9/MuNjt6fMz6YYbbh+X8w7XzPKi9lhfkrz/GtimrV8xTGiMkbW/EVRDufpDASPPe6z1JXUa3D/fp/P3l1jlChGieLc+QAtPBLjo4UPnocIPTwpCZSgJg21HNihMoTK2BpwL/d8vYq5g6IvswS3yns0Rcnega8JgqJAKyvZOwgSlIr56iOKT93bQgWetdvG9PezM3jhhWdZ4XgoRiOfN9885DNf6/Lhr0zRT2s0cx3uFzo8KZIypuwWEkKWALN/Sjpa3wG4zsc6eJbJfU+Reh5emlmgqwyl7CD9mVrKzZen3HR5ghERb3/lgFFix7n95d0hD+wPqIeCxa7isScDugOZqySx7hmukgBWmjRrmuc/L2HDdGYrCzPNO18z4vmXJRgN8zOa2Wnw7DZ76EwRjRSZtvc0lSQmvi6sz7wP+PG/FoMbcx7Y1P7PH/zY5ckoUiBBBhah0rP9Z0ajtSbSGRc6mgurdnk5eFLz2a9a/WQyw9SM5kXXxbTqtoRy3fSke6nnrsNqX/HgEwHdjkR6ys5EMZ5lJuFh5wJ7ID2klPhSWDBLQyg1gbRACBQEqprRZ0FejUm2e/zIsvHYBbdl+Lys1i8YPHPuKaGXYEzMmcWAOKoRTkmCPO2t8qq8sSymKM/vmH1adacr4sRnpqXYsSEmECOGacgwFdQ9OwSzqCEpElpKuuWtsvxb9m8UOQpdZU+1zvsnK2mUplmeN1D5/kcpSZqhEptL8FSGlCnbN+h8xdBcuXNEbAZIz9DpCB58wmN1IFGlYhkPqsfOdJ62b9Y0L74uYWpGY1Ibn9UVKFs+Z1efVBLl0tfK3vxRS7tWib7q9Zcv79Z/sL3/WKd75Z6p5wb4qXPLeF73vQsXH3vlSm8FVLMM+uw6lK+tUleBQR4cpEbTKZYipemuGs59tel8xfUA7qbG8pMjBLrYcoG85lRY7SeEREiZW1kFqPO0syTfuLXwjZ1HL++kV+Rb71GC27Z1KYIc3IFHWWJqGTxncU8T5NlR308Iw4RTi5o/vrUJXoAvRRVglvJkndpqJ/lRDAkt3KkssyB/9+uHfPrOIU9faNHPfBqp3ZTWVgGaqhNHFTkBKo+6OJalISGdAq/irstaGM9T+Jmdl+LnQFeySprZuvH8uSi2msnwhJUSGxqab3upBpHlMhMQxf4Z65zzssZIgFZkiUcxjyVNJImprOfS8nRea2MvBikNabrCkbOPv3LvVUffq1XyT74hg//L/3w3Usng7nsjBmlIEOQjxxClKW9QeXnkOgGD0dV7ypD5DrhLg9TVaAW7OfqtXG4tmIsa82IarS8NobBSwJM4j0VTrVNI5OHMQSlYu+qqrwAuS9kSBqZsaQsC7QzOSfFz9g68BCljTpwXLHRrCM8jlIzJE+l+Led0u9JhDHi50xGnPnPtiF2bhzxzPmKYeYwyCDOBnxn8NNfhKaWzVKXQlXM1CacQTlbzZMq/J8gyjZdpMiVRXrF9ucqL1bKxbWVKa1ZUk7Hso0ZEBpG/VxgEpRNW5jYLlVAWPJexWZHkK0GdGxOVC+dmwqteAE9pXrDnFJI/D9bL96wB+DOHzyAEJGnGTM0a/cVHzLAAT7V9njmepim0lVuYwDeSJeRdOU5hvRBIqhSxnUoFvjD4ophIm7+fPy/fU+MgL0ZEeMpuLuV51TwUC25pH4MC6EXwmYO76P7xdClRfM/q0yBISEn4/NfqXFio408pAreGw3VQmFCkY0VIYiIIVIwiO8H2TS/p87XHR3TTGgPPo55q4jydrmRVEFUUnAmhqTqHikCzqtCz1mE+U8WQN6EIPC1IlcDLZL6Lna3lSXOgV8m0InjW5Y7TQlhgyzx+sp54AW53FEWV4h8rxzDjQB8v4XCy4uskDEEQC8UokfjRiXVXizGA//6f3sZUq/bSP/qLu2+MlxIyadZknrSBTJqyZiDLU6uVgW8//Dea1FKehrKum9xbBYW12Yo0sRLVa5WXxRYdO175KMpRCC6wyzkoCtuPuB7Ai4Cz0N1eIUtMrrfHa8kDPyHwY853NA8froMX4OXyxHMKlMpEyATC7Uk0FZMXKeoi65gpksTn+ksj5qaHdFYaDFJFQ4Gf2u+iMmPviQtw2yZYJYCr/EOZQdamnFKllSbTAl8LMiXJlCZTgjQHuVu8Ng7uvDyiBHi+ihQgF67dW1WArgGgcd91QF6WUK+TCXfmvmME2viAIjBzN05vfu1Lzx37jnu27Km2RJmYbxwzGplvawXp82syRniebQ4tQJx3XxQNChbQVXlkkYotl+HnAHZxzi0IzBjA3ZFrsgCzU8LpAlyJqtTTNhcXnSpWlqiye6UCdtF8a9k719wepd4uLEHL2BW4/bI6MUGQ8Lm7Q772ZAsZegRS2PnbZQVh1UZXVfxNZjPd0uLCE7cOwXDkc9PVQ779ZT0+8LkWcRbSzyS1zBCl5CuXW/WnczmnJy6oZ2Ny0J4s2wgLcGdKopS2jC5lPlpCO6XIuqzeLArdbOpejxXDldnNsjjLrGuXlsfDBbvTV7C21EOQFRdoPjsxjjWh9p8fTkffprW+Z10GP336DFPt1us//dnb/+Got8h0w052TTNhm0I1aCnKIZdG48iTYsmoxjqsB/DyuLvMRs4+VGCogF7sxlCNNihY3G5BUoHdKzroVT5z3GXxvBvGV+PgtuMUJpg779kM8vY23ysaDlLnnhCT8OdfaZOZEFVmL90As+prLJyNMQ1esHhZMy/tKI2sCDY9BD7vfNWAP/l8xKpOGGY1hpnATylZXEqDTEVZdGbtwsn1U1JZk079tRZkXt4Br3KQewalrVzJlEFltoLRZo9lBe7SonSrO6sy5qrby3ksr/G1yJhsSywm3ZZE4JRmF+BO89EbUSRY7PYwYfwPr7jmVXcsXDx36/zGLeMAj+OE4TC6tNcf7B0MetRCH5nkTJoJMmGBXdYNSIetnV5Kl6HcwSWTzF1p7kKejHfpKIcBpVirOQvQu7M9lBKlFi9GI4wNu8mB7SlROSmlHWg77m1jssmZuwowPYe9Qz/m4cOSQ2drGOWjpCSQOpdRrkSpBPia0tIxDe72qlb1Pknqs3drwlWX9Ln3YJ1EBQxTQU2Cnxm8VKCEnS8opUCmuQ5HItCM/0ln6XfGc1SNwIW7YutdLLjzdjZlHHDntUDK9kpWNfnkQSalDh8rr52YfVi6LQ5rT74uZRVOtaq2sV+xm4fd61PR6w2IRoO9WRZdqnVy6xoGP3N+mUZ9yPLqAK2rOX7Fh5GZZW+pq6ByrAdvzZU4+WWKRTr/TYfFi+dSjC/rrkwpbLdKlwvbPS8qcBfsXXSLeyW45RjA3eE/ttueEthltrJk7ozAs4kd2xWUYEj4+FcaLC3VEaFnfXf3IpysQXGXMOeYFdME3Dru0pvWiiTx2DArecerezx8uE2U1RiogHpmtXhRzqokObiLtULnnnhRmGtZHDOux6vG72oqlb1LlC5WJFM+twC3kxSk1vn5qWYbFoB3m1Jw5coEsMfscgdDgANu57lLAGV9jZUrnjIoMSCJFsniUfk3SoC//w8/jZSSbncVL99QxqhKcggMQoMWzmgH54OZ4lNNLECV/jRjX8rdK0aW75kx1h6bc1I+VowtXQZXwmHx4gKVKG8c4IGXDwDyi60D8wynZ/DLVLzOn2djd0/Zzp2nT8DHbmsRyQAlVZ69HL8QJzOYk/KzNE8LFnfcFK2L2dseYebxjteN+MMvDHj8aJ1E+QykJMh07h4JZGbKMXlSGNteJlyRqPO/Nb5vkcvkmQavtBANXlaMldBWCpV9m8VcFlFe0MLpqiqBzTiDu8BnAh/uQRlTAY5EMWVz+vgI52KwvpQeq4sHOPj4GbSuJJoHcPbsObZs2dz4T+/9rT1P719G+9UwHi3HP0wx1KVkgrFlZS17M8FiVfOqGWNxN629BuDlnMG145Clw9hFkFlMbfK8YpPXXHurCXAX6Xu/aEzWdmZI2SJW9HSm+T1B+TGHznj04gCUl8sTM1Eeu3aFmqyyG6uLH0vC5APmdaXFm77g8m0jHj8Uk+mQoQ6oZbZm28s1uBJ2vp9NLBVywM6IdEFuV1lZBXEavHKwqX1P5XspeZq8g8ggdTUhoJiulRXd/aUB4NTrrwNul8GfK+AcIwIzCfRColRJqySTxIlB9wxha9OeV77hRxsLF358ML9pswX44uIFhoPu6668bPNPnzj2DFIoBiNrIUlh0KLaElqoQpKY8gOsKS6ZzOW4TC7GX7tMNy5Pqj7GanZeLk2cOR4W5FQ10soBdfk8T/Ioci/cgtsCuBoK5LvyxGVvlfd1BjHLPc1//4sWS8MaIvStPJFmbFWpBuesX5ExdvKwZbMlQ5UMLvN6C492w+Mnv7PHlx9usxQFxNJjKCVB3kNZjXwoAnZR2XNCl2W0Bp2DW2OQjDsrImdwU85yLMCupMgZ3EqiTFbSREpTTqYtJKX1w8dZ25Vr4yB/7jxJtdI50mqi9zfNBIORoruY0Zqf/+mDBw/eE0WjT5cMvnjuGTpBQDY6w/yM5OKyYTCy9QuFnCg+nXHAO8naYydzYmkeA/izgNwdG+ZuXjoJbBtkVvMHparGjykH1J6UeLkk8UqAF5pbl0Gl7+kS3L5X1F+Ms7evEoIg5qNf8XnqSB2kj5SSsCiNnYwZqrP57NWEDpuXrVuOTEm1zDd58rlm74C3vKzLH36hhvZChjIglKJM+igpSMbkwTiTC5fJXUZ0amK0AmXsqqCN3SismO1oWV1ULO60D46NYIYS8JOBZmUbCtbT5OviyIWYKTLq1fSr4v8TJZJT5yNGHGOpY4gTuzGEB3DJjgSpJHP1AcmgwxfvbdAfVYEkWBKQE8w8SdxuMDUeMbvsLXKQ2xaosSCz1K4i1+NiTHfLfLyYek6Aywrgyqmh9vK6FJ9Siviqckt8ZzhQpbkte/uenVq10tH85VdbLHZCqOXuiXCCsWeRKDh9jO4ZW9e2KyxDLdFZ4aZ4zLQV3/HKAZ/52oilfkisPIaZzO1Jkbs3oopj5GRyxbJ38ZYu2bzql/QKZ0Xlz2X+WkKWB/QFyDMpcmALR6aICug5mIs8R7VKmwlMOGxuHFZ3mijcwU9uH4EQ1vFp1aE/zHj61Ij5VFCf8xmOrCTzHn3qMbrext2rF770z4bLD/L0OXjiZI2Gstk96TKtZN0ldxzYYtwWFIx9oeq1mEiEjL8uCvlLiVIMo5GiBLd0WTvX43a4O+PgLnY2KJhbOcy9hsGLcRPVyAlP2czlseOCgydqaEKE9Mrm3Kp60I0fhONqVF/crUWpmHx8yS2cjLLdLPPAeFyxK2bvlhFLz9QxWWBZPLMyxXNcnIo13UKvok5IOqZAzuam8sm1FKV16MY2Kge6lOTau3K0qvM1HuS6RFVJlgofhbs2jgvXcZukc4coitVSWSt3w8yA/Wd7HDj7OFfv2/LPXv/Klzz6T9798HGvUcuYmRpsfvoZ8fpf/Z2Ec0tbCJEEzbwUU62184Tzl11d7coSMfl8Pc09AWpwDlQ55xtHmowDu3xU5KOAXR/cvedbWisX3A7I8/3q/bw0tGBvlb/2vASlEj5/b4tDi3UIKnniT5zoSdvzuUT4+JBRd66Ms7tZUUYbe1yyIeZNNw144OkGaJ80s1rcz/Ihn9m4VBIluArQFLahzHMXazOGWubPZZHvKO525LXMNboU5K/zc6OrOEBoe26lrDbfEhNAd0nO4qSaNTmOq9LGqy6SAkf5yumrlOlmxo9+e8LhMweYb7/i9WfPpZvj2Bz3Li6HaHyOn2uz/+hG5lo+zbpZoz3Gxuo6QJ0E8RqAl79fTUaaBPmYg+IEaQWgxTrALnW4Ek4TrgPufD5htW0Ha4HtVQOCyhFvns5Bnlp5ohLqjZh7Dyg+/dUmw1EADQ9PCnwxLk0mA8zJjO0agDOhvycsQ9cXT1KPqZbHW28Z8YWvDbj/QIBp+gyzkEBQXmhqDFAuI46D3E272OAzv8CUZfNMWj2uJeXI6yLg1HlwKbUorclxYsrPpRbO5xAOOAscue5KgQ+zhkhdF6Zc4Utzw9odw8in7bW4codmamONelOiQ4Vn0ow0zqgLw45pO1DSL8b+SnfZrU7cep0qrs4uFpO1WtS9OFz2Hv9/u+N7y75DR6IUd6VEPge8AncF8qJs1uB51QhlL9+EyVPjQPdLtrZ3pWyAGQQxSZzxha83ePpkA3wfIVUOqnxuiNtl/ixVhGOOisvaRcJsco6jqXpcC7swjj2u3Jnyhpf0eex4nSgNyKTPUCuCjInPIiqmZC3I1xR8quJi02glUIVrkWespayynmXsI0GaXIrk70vNxLmspO36sYkZ+3kJ6AmSLFYkU2h+J25JM0mUKHSvRpZJ1EyI34Q0kXgf/ujn8H3FxaUu0w3bcqTEpK4UuB70enJlXWYvQT/x83xq6bhFWAG+nCVSypLqdSVNHKuwZOwC4NXk1FKi5MxtGduUTO2Vj9VzPw8uPZUQBjFPnhDc+rUGg2EATR8pispBHHtwnSxm8b3cpbBg7jKtKRgfJD+R8HEKsOLEp9WKecPNEZ+5c8RjR0PwAkZaEuRaXGnbdFV50SCyghmFndFQgr0CtjF25Suli7RsXqwqRe5B52ZDpoudK4Q9n9JUcqXERz5Zt5gSW85pnMCJdrHiSpnqrin+lhkzFjMBMpMkglLSnTjyMKdOHsaYDO/hA0sgBCZLEELgO90iZa2HmrDtxAQ4Jxh88gNWS4trD02uCJUcqeSJK1FEmZ53s5nFZysqCr2y4MqytSrng0+AO7/7xRTavMDfU6m9ewm+n5CajM/dU+euJ+tQ80Dahma/SJO7oGbi7r54Fg0+Pt5MlA1SZc2FlmNAj0Y+r7hmwJteOuCpEzXS1McIxVB4+BnlZxJZxeLVR1ifyd2aIqUK5rZsbl8LpBZ27rvj9xdsLo2VI1VW0znfumJfoSdxY8ZwMCZhYTyOELZcRRQrjpOoFXngrJWty2mGFwmCJbQ2eK2avbKSGOKsqMxz6jvWSWBMstQkQ1N+QLFOcOmAv7zaxdiFU7KCcBhcVStJlaZ37qoCd7GrQ3n3qk1QC0D7DqgL58Q6JvZRqYTAT3j0uORjX2kBAUgfIRR+mdwxZXHVuHQrLuQiYBITAGOsxGGs6Motoc1s656dQqvK9L0xHu981ZDbvz7iwSN2kkCiFYNMVHX0gjyFL8r1wlGQ5WcxxlgWd4Be/FTmoNcy38/HkQUlJgylPCmJqWDkMVdnnNnd47QG8Dk+9IQULmxJ4xy/6ttIwF5NURKQah9jNF7o2X8kVO51ysoeKuqqK+07aYNNShJROgdjWtt5zjr/3tXcMrfX3KRO8bfLOXkuyHO2rjabsqxdDcCvwD3G2s5j0VhbSBWlUnw/JclS7ri/zhOH6+D7IG1wGQjjTI51teZ4wDxO3uPQMs6TsnTWqREZqy7MJFoV+8N7RLHP1XtHvOJFlsWHmWXxSASMNHiZk0fICruwoDs3ezFR3uxYlwVpGCNQBpv9NAJhbB7CGDEObj25yoPQ7vFwupxYD9jjmLCr/jjDl1ZlHhvIMmllA2eBpfk4lUitAIkXJRIhbbpTiKoDpmBy6S5LBcPKtQC1AHevQOF8UOf1GMAr8NspTY48KUE+UU3oeLDFBlMFa7sArxjcAbczFL90T1SG8hyA5xIl8BIOnRN86AstosSHhp/LE8rWNOXuElyuZlVcMqZX1uiTcaC7MkW7uwqb9bS4RzOUfP8bBnzuriYHztiLL9OKQaZslWEmynmCCIPI8oAuG19JivI4l8EtoC24Za7RpTaY/BwZKZC5bJFSIEx+jrQDcNdNKchLjzPyGldlQgVM1icV4FZ5Z5KU0hYEQpnEEiKv5Q9SW3bwgd/5fzbVa95/Pnj4xBXWIxZ5V7ptFHALmKrqPbfAqbLsytfuoxJIKSvnY+x5lXm0ZZiiHA9cAlcx4Y64QeR4IOl5lWNSTIBywe0rg+cXWctsInNZNTP4XkwmY/7wsw3+5NZpCENQNZTyaChDXZl8HAVlg7PvtMZVmVQ3ESWpJsMyFqBWsURlOxYXrZDkjb9VL6SSBmE0OzbHnFmUPPREQCps0kILO2LNWzdGqiRjuapUNnOZJRTGETU52J/tYhjX8HlX12R8UQbQE+85myZUU9DWFqMVteHg9GuWtSOlU14F9EYzs+mmzXPbXv0l79Chk9P9bveNykTUQt9xJCpvuXIxxnU4E/KjkifuElSwu6vDxJolqUrzTtiTY1kzM6a9ZQmGSpK47K3KnR5MCXRfrZUk1aN1Tnwv4eBZyUe+3MDOX7HsbbV3BU4pHNkkJrK+TqAp3BelLJkAh65OqDtX0OTzHrN8LojOFJnKtXjm8d2vHvCpOxrsP+2DjDFCMsp8ikFTpfzLchhkznDTIvWd31RZaGRy/Z2zt/NY3kXxPNfFOvfHdR6gPout/GzVltVrMc7wrozVDiY0aGnyzGuRuLLtd3ES0+r332jkiWkviiPSNClHKhS62y1FLX1VN5HxLDafYDLonATzetp7rX6blCZSjO8jU2nwaqvAYmc1tQbclSxR+XOlNMrxu5Wyd0+lZCrls/c02X+o0t5CSDuyouygefaTNv66CDTH1InzfLwBecwTdyZSebltWPnjVqpceWnEm1/a58hHQuJMgfDIhMdQCLysGHtcBLrG+UzG+QSi1N7WlxcW7EaAMeVnVC77ClOl+IUFmzTCVp7mBYyltHBIcTJwXB/krIMVU1mNeYJJaZuEqjY003ZTYiRRnOJFMZ67l7tdciufWamKcd0AYUyDUwWPY4BGVONNJi6GYirpGEieFeDGiQEmWDtncc8Btgv0teDONXexxYnUeLIYamPB7vsJR88pfuuTbUbSghvhOV3zk03Q4612VcTNc94mN9syOZW74xGqQFNWc1OURGlFpj3SzCfMUv7J2/r8xR0Njpz1QCWgPRLhMxQClVV2m3SDzQmQF958YRcWK4xGoLDH2jDJ4NpqcSvzyzIBLQQiZ/ai1FqIcVZfF9yT702AvQpmbfNNlut6JfOGDWVnv8hcuggkXsE4FYNXuwe41XylJBFrwV0Fk1UgOSlTyg87WXEnnp25hcPaRSKlALfNYOZD8IvdFKQLbieolPl9zO927tLKE9+L6caaD3ymzZmLISgrT4SUlTVYfM5CnrjSZPJEOQmw5wQ6ruY0VdlsaR0Wg3scTzxTZFKRpR7b5iN+9C09fuVDAZ3EBgTGSCKtrG2YValxslJtj4HcFB/G/bR5AqpoAFbG5JlN59FYVpYF4RfMnb+etPsmrVQ3qPyGjF4EqdqpUdKmBHox1MiTxS4i4Cllz2Pg2fl81S5ek9ZdxVBj4MZ5f0xzOg6JWAcAxRd2mHxdYDuJgwLYMvefK0lSWIXa0eIVoK0ccSRKudVJWj56KsELEz7xuZD3f7xNpH0rT4RCCkkgWNtUvE5avpJvLrLFs4K7QFdlFbr6fG1xf1lKm7sqqfaoeSk//vY+B08E/P5nrRYHRSYkI217N2VGyeBVAVZx8irGLiRKscIoU0kWaw2a3CakLMiS0v5MCytTytJZWVmURS3KGhZfhyifi83XuitWKSiN3Q48b1VM8nY2TylJ4FV7QCq11pceL5AS1YegYOvJYPIbLz+uneR6pW7hUtkp4mruYtMp5dZhjweZSo6De5K1VW4HVo921uDyCvzFlxusRAW4LcB9abW3V6wg0qxddQqL08Hzevh2tbbL4Dh12ZU8wc741ibXl06duLRSRWuPNPOYCjLe9poBn7qnwVJPgUzsmGGsHi9kCjm4xy85V64Un1KUoFdOUqioT5HGgllKh8Wl/T5CVOAfI7gxTBiHLJ2irDWS17kO12H38v8tbaGZJTtJktixEl6rrogbHu2WRy1U5R90l4zioDD2ehzgazKWz7XUTMgSN+M1ydqlNFG2TWrcTnNYvBxOU2zzYSbA7ezC5urxwjlppHzuqzXuf6KOLrS3zHsuRSFPxutNpHtSJpda4RyTZyXxnD1LH7ySKJPNEO5MkMxIlKl88TTz8XTKi6+J+fYXDvjjzwegYhASIwSR9myZQw5b6TB39dEckOfWoDLCKQzLYyFTSRSdB55aVEA3AkT+s0p7w7PVh5cXnHCBbcYIs/yMQoxjbj285QnNTl8gA4E305aQSuamlDXOXVYZOy/VX1rvjxS/UZ7ciT9eWIhVfcHapIB0AzfXGhQVqMe9YpMHmbpi9EKmjIG6AHaWa/FcosgUJe3g9yMnJR/6XIvzvcDudy3toHclqHZsmLww11y4Ygzwz6FOKjYvJcpa/7ca7zA+F6QoKlKyeLTbn2xqZvzAt/e554mQIxckiARQaCQjYffake45KNxv5yocGweSP1fOVjNGGjve2Nh/Z/LgspQsgrLC0DjALlhbO8epTEKVpGocbI23+gn3gnyWY1q4QHGUsdRJwdN47YZGx4bpdiHSKTfqHBvm46xgLiO5J7J4X7oApwL0+gzujIqQZi2Ly8otKfaiL3fkLQDtBJbFHD1XbxeBZqm7ZYYnrTQJgoQo0/zOR9vc9XDd9rZJz2pvKW3Xjqjmr7iNtWsqB9dhcveYuedlbQazqjIsg7ex8lm3jNa2mxV2YZZpUumhUo9XvCDmx97Z5Rd+JyBK84ydlqS5qyKdgqfx4qvq4rLF1pQFKSb3ywsnxZiCdHIZI6rPK4XJWZwxB6WSE7YiEHJmLwnCfpaKHCuKtbhyJdQ4HgvXx46/0AyGCd1BRlBP7QgU3zM0Qk2mDWlWAb3ay3Jcoa13c2OqSmOto7udn7vMvVaeVFuAyHz+tVrD4qbs9q6GRbr7+Uyyd5b/TloyuB+kfOVBn0/d1SCKfah7pfYu2dvR3c9VEiscFJdgn2Ai9wS5hU3lhNUxcINRRZXheK14piVSW6lSAD1NPeqNlLe9Yshtdw25/UFlbUMkCEkiPIZU54HSGxcI7Z5hB/SAytFf1qXI3DEpAlJZVPrZeu3ieWENFue3fG5cnKyjs8dYen3kVSufKWe7aG3ItGEUadLU7jLiFUmS0NdkRqNSUW7IqZ06ZTN2xYwfC1E9fXZNXmorl8FNaRvKCcCrMTelYuxiwExpC6pqMGQJaMfnLmdbqwrcXg7uwE9Y7Rs+d0+DA+dqVpoIWxIrCu0tcCZIrWXtNQ7RGKCfQ5+4x7JIqLgShSLBItYkfibrxaVUSJ0htUcSeezbnPDtL+tz//6ATpynX7XV4zGKYh8ISe6NF0w+tmRXyZ3iq7iSxchKsmhTuW6mkCGG0kkxorIp9RgpVPJoHNTPLUMqgFfxis7nZ2baECUVUXsiX959z6Dypcf2A5oyZVyN+1oH4BPnsgR1CXIzvoTnwHUlyiSTV3M+3EGP41pcKV3q7xLoLrjLDVMd9i4TPbbuRJPxR5+v8/5PtjCikCYue1Np7wl/Xq4D7urEOCB/DvaeHFTqeuFlXbhZ28pWZTQ1OpNoaX1xJTVJ5iOV5sffOuDwWZ/3f8ojSSuQawSRkChdDJLIwV1kanTVUGBcC1FaJi+YW5pcspjCPbG9msa58K10Ec6cFJwSaqdADcenn5B1a3i8PHZuk4gD8MyCW+epe89ok3+4YjxuNTGomnxqyv0NcR6prv38E5lx9i6eOwxetTBVz8f3nYdqPG9uC6pqVO+YRFFV8ZGXP/cmZUmxx4xjCSqZ4AcJh89LPnVHk37fh7rdC9LuBykr5l6nLW2swWFCe1cq5RsneSoGd05ceXcymjmLm7zpoAS6dFL3ecAppZ1p2GqmvPWWAV+4u87hc3n61WYdyIRg6H5S4TC4spV6kP+TPJNZnHIlqHQ31prTBcipjlHB2iaXJIWMM3JtH+Z6066K5xXWJgJynY/vLonAlNI606bcaMQLgoDE9/A8Z0KRtuWWmawKf8aXz+LkVFQ+diInJQku07kypdDe1WSkAvBKumzugls7Gnx8QLsqg8wM6cgTKbOKzaWtPYkSzW33NfnyI3U7HFxWvrcUjDXylvM/HJBTfqeJuvh1AsxvdCvZvMwaunUpFpe6TPrYdLTV3bqSKVqSCYXKNFooksjjNc+Pec2Lh5z6K59IWx1eWB0pHpGwckNqh6py625c+zoSymXyPHcvhFMFKPKy1vxYlfIkJz9tnGM2IVFKG3ANCRjnecXatrhqgsG13T1aeR5BGOBNze5c1dnoC82G+gdZlpFKa5BrCTLLdwMQbhLCjC2vz3Yb9yfNGoBLGBv5VTG5o7fLqUlVcqfYxnsM5C64c5+7kCSFPPFkilS2U0cGKXc+GPCrfzBFpj0Iil3bLHuX49iEm5J3VhlHtqzH3mPgfi6gTyR71siUMfekmh1otECLylEpE0DSeuNCe6SpJggyfuaHuhw47XHnAxIdCCw87clItGJI6VNQypVywpOT4RSWyUsWLQNNe0zIf6dsK5sAOjjVpu7ohzFv+9lBNWlduvIt0wada+4kMwjlMzXV/sJle3euqh/8zkZfZGeOBH72Y1ma4S6ta0DpygjhZO8mGhPGZuU504+qhgVn3IKaeM+dYjpRISgnkjjVo143yFROBlM5vZanlwW/+qEp7nmkCTU/L4e1d08K6pJyQ6lig6tyR4U1d+F8j/GO/6pGXpbTt8qGaUfXu22BtivIlMdrsqJyPDE2Gb8Uq3D+3MCGuZTQM9z/eMDqUE4sNbKcIp63C5RMivu6IPE1Zmd1DY/nQUUJSlfSaveKf9aLe+29UBAFW2eOJMmyajpumhlGsSGlxsHjiz/wla89fcBTKs2lQA6IfE0sAK5FXnOrC+FesXhB45MGU/GkukiqGdGTzklpGZYXwzhrV5pc52l6vWZbjTH2dhI5leZO82AzJQsyPvSZKT791SampkCosmJQiKqoypNmvL/R1d6uE+C4J8+quyfeM0wCIj+URdUSLou7y3JVXaiL+o9Slzs1KkIhtSYTHnKY8bZXDnn6qM97P+gRh+mYUW+0T1RoKl0lfyzdOil7Y3JNbk+qwZQMbvIVOe9NyL1wkUuUnNFlwewTc0+E7QgSDnjWXDDlhWKqoLIMLit5UjgnWWZrgYwxeBcWm7lZFCPNIE/HFqLfFsdkugywxzRQvi6tBbgzzX9Sd4v1gC3MWN3JJNBd7S1LWWLGdLYqPe5Kb8tcc0un9uT2B0L+4K+ajLJ8Cr4o7nYT07LmZEyOTA6TfI4CMhiTK+tc+mvRX9Rcu90yjl04tsOYFnma3AF34axIC3AjrS+uhSbTHqGv+aE39fn6YwG3PyJzd0QWET7aeETatqNVQnpCpji63ALatsQ5LmdZTVhkME1OAsX/dv3SDadcYB1yGDsejOOvBLfD7kLAhqahnm8+7AV+hp04mmG0bYWyTCTIHIbSmrJlXxv7BYvU6HpLVpEpm9ThcjLIlG6gOb5jQBlgCl1JFlE5J7JkbTMRYDo13jJPyXsJgwh++femOHomxHgOe+e+t21oyOfCrMPc0gHumObGBbRY70CsC/Ix27mAj7Nkj8U9brdPkcIfy27mgadQZLqY060R2kPGGZdsS/n3P9zh6z8V0hsVJ7WSIhpFZGxbhCgY3AG5m8ovnBRkPuYiB3MJdEnF3g7Qy/NegNkBe3mEJhA+WZQ26XtrMy5dMg1xYpAyQxuDt21rHSkV0ajH6nJCnPoUEiX/DmQFe+XZNVEU6IvqpLjnsDxsjv85OWG0sgWrwLLQjmqSxUtAO8+Fm7yZSOY4TC6l1d1pBv/jEy0eeaZWed7FPa858YVx2tHMWHDpMneZCVzjnhTDJd2z5hqpY6Zq+ZbrotjnFXlURVfGAXzO2iJndOHYh2aczXWmrFTRhuuvSPjJ7+rwXz86TZxJIK2+hBFkKEZZcSG6vrjAyEJEW81RXIRKFMGlydP6FDM9Kz9ckjdAUNWomOpPj1VgmrFDUz7RuHq8Ym1TanL7ehhDc2YKv90my1K8Tbu/Cy9osXzhUZYW/hKEX4JOCMsMiLwDPi84LyJYA+NTCByAu8a9axONB0faqUGpAijlAFvmPrgS4xJFyvXAPSlP8sCylvGl+0J+/xMtOkPfZnBEVXNStaNVWcuqZHey8rHS39IBd67AK+KuEvXjkDYTJ2/ivTKhNsbeFbBd3W0cPa61sEkfYew9s2yujUZrjyzVtGuaH3n7gIeeCrntXgWNnGZ1/iUkZCiiAsiTTC7zBFTuqJS1KgKMFKArxi7qUAp9LsiZ3TiYMLlX7jK3ww1mzXExaxhbO24KQJqmfMfrbuCWm69jpdPDG0QNAhqs9pqsdEOm2gKl7PB7La1gJzfNi9kqZcBQ1KqsWWJcG2hCprh2oOODC+ECe4LJC6A7lqDMt5R2wS0dYCuZImWK9FKeOe7xWx9rc3jJz/e9t8Autfca9l4vuDTj8sQJiCbnME6eqPEDVJyx8cRO5X9XWrxshGA8ayed3x3Lcua7NxSbygotkUKRCY2QCplo9s5m/JN39Dh+3uPQGYHxJkSWFKS68lQsSRWzRyxTG0keC4DSE8FmHpy6a5YpO3EqMJfYyH1xHPvd/belPDHjAWa1YVbenI0lpJmGYeOUYrbtI42PV/w1IUAqu+uBEhqDTXuKPPuFE+Xr/KwIV0O60sTNaI6VxhrGtfj43i6qBLd2gssJgCs9HlyW4M7tQVlJkyBMOd8R/PIH23zqKw2M79n2JeE77C0c7e3MOxkLLtfey4vZeV0eB0fCOFfB2qX3ORjdTfRU7WHjIxa0EYiyo1zmurTa2s86KhIhPHRmSDH4UvO2Vw7pRJKf/nXFhVUB4SSTe6RaMsqharOWecA5gUIj7ED8QpbY5E+VxSxZvFJCZVVAefzywqxKDbjO/KSTVAE7zSDVopQonqyOczF3RwaewFPh+almduuenSHtRo96PSYMUgI/K2s+ihqS4uSVUkNUnTbVblvjXvd6GcjxzGQF3NL+U+4ckMrjnnROqt+xNqBlcVtrEqP57NfqfOmBhtXdSpWae5y9i12Dx+cNjrklLvNMPB8D+yRhT9LROuB2AV0xe75vOw6zuxq9qBF3Ou8tg8vSYbHPVV6FaJ+nqYcwkte9cMSbXzIgECmkKegUjHvXpAYiDSMjSDQk2m4lmWpBagRpyaJirNS6SpkL5/m4pMgmJcbYoynv6zkohRZPtSBOYRgLerHkfA/SYJ5+pG5t1ILzIJFzm/bx2OMfP37o7NJ/H9JgfnqBDVN96mGE76cWjIWPPcHQVpNqim2c5YTrMeaArFNH4o54GMtKTmQn5eT7Y+l4V5pYcCuVkgrNZ+6o897fa3N60bfZSuE72lsicnCPD9J0PfnK7ammClDVUEyCPke4S9xr9IlZi/G1TopwTubk80qWVDu0rd0FuPDFi73dM63QmW1xSyLFjjnNT/9wl7e8coAvHIDrJH+egTbrgjzV5PfqeVaA3pUPJge5EWVQ6F4IY16282ic10ZPXvhVTiDTEKWC1URyric5tRzxvOe12LRx8b9//o6/PP68a/fZPXrueUoxSn2u3JxS27LCdCtjfqbBxeU2UexT7DQ7tkF0Hu6Wlk/BOxNOSeGe2AbUcUtwPFWvGU/y5BeG0A77awfUOpci2Rh7K5ni+xnHFiW//8kmB46E0MotwXz607hzUrH3ut3+jLP2JLOXy2kJ8rWypfi3rosySegVa+uqLmWMvZ1WNpymCF34zNW4N2nGC7KEVnlOQyHyoDOJDFfsTfiht/V44ImA4wuOpVHYhwJAkUpZzC+2oJPYgqzi5GuT6/HKUZHlawtSmbsndqDQOtLPVI+uyzJBD/bfSxDaSrZ+Ijjf1Uw1emwJl9g9P8sNlw5YXI2AfBOqd7zhWur1Fo89ucLP/c4BGnXFW18Z8/zdqd1dICm21Bj/i9USPQFsHICvE0xK9/0x/1uvswrochUpQS30GGsrmaFE7pp4Kcs9wW/8SZs7HqnZKkHHMUFaoEs5zt6l5s4/ezEKwh0LMTa5avLRoe51g8vnUiiOVJlkquox37dY27IHjcif5xZi8VwLdL7jsBY22WHPj0IL+5hh45xsoHnl8yP++bu7/NLvTbMyyD+5LFYaUcZeae6SlH64xAI7d1CUtqRniqU9f11o8EKH20cbtBaSuQQ34yRRHCA35ilCAF9BLEGolDe8cJHvftUSjSBBh5dybnALse5VAL9kz2Zg923/9tdv/9V7D13202kc8eSJmB/7dsmlW0LrpAi3OXR85vR6Gcr1gkm3TqKyC/VEkkfnVmEFcJnLIKWKxwLcumRtmdebjIThdz7Z4oOfaNHLfDs8UBRJHX8ssAxFMcSHMe09Xg47MdiH8TNRnoycoavt+v6aSC+BVA3fcZsf1vjkpTQpGiJcbzwHdgl8UQadWpsc+MqCWytIDS0/4cfe3uPCkuI3/6TNUFdntgSqBHTO5FhGto6Krbg0BdDzgJOCuYX1zx3jKJ8MC9KIMq1fxnUTh6awEMtDnJ8DhZ0B6Xtw/RUJP/wPMrbOtglCn6E5/6sPxpffts27WAFciD286d2/NBBSHrtsU0AWxcxPN7lwIaDlQ6NmdyOz1Xy2Zhxhxv7ouqAumwMm2HwS0I40EY4UqVi9Knu1/84pg3WsQeNpnj4U8Ge3NegmeZWgcNLxOXsLCmlSNBObMe09NhZ5kq1d8Bd4d37usvhfG99OPnis+AgcEDNWyWkrCqs5IzpPtbvyRAppO2y0dRS0kQhtcpAbpDakiaZVS/me1/W59d6ARw/aaVSVa4YDckEqCvau0vcFkC34Reme2IynLR4rDogR2PmFhVzBjq93g3XpLG9j8jAfQmUHwkI9lGyeanPmXJNRf8TsTECrPTp2vfm5weU3vKcCOMDP/dM306jXuPX2u3jwwQfZutHH8xTDyE5qtTvm2i3iqpGN67C0C2xZaHAzJk9cK3BMj7ugngB36ZhMyJPCNVF+xuNHfX7yV2Z44lCI8Qu97TC4kI4taMaYe2ynBvcuJ0D9LC6KBfWzofu5oW6cljUX+eVItwLUpRa3c0mq6av5e3lW0xSltMYgCtswr76z3rPV5Vnu9YrYcN2lCe/76VV+7D8JnjicByelVMEiModMpgVRmbW04C4evfz7ljth64rJi1SKe0REbozbjGd+DGRV6zWZbyiqLwNfUAsFcao4eiZgpW24Zvb57Nz5EpIkAizAy1Vh17Y5dm2bZ/vmFpvmAmamPOph7meOJSEobdDJUtoKyJpJB2W8aEo7rooDYmHWdUtcO1CWKfgc2DLF8zU9I/ntTzZ5dH9Iplzmrjp1QFSB5Zhrsn6AOZmmn/TBQax5z60sLF4/O7AnmXxcc7u/N2YROkm2IslT/N6a3s0i21k4Ks5kLGsh2p0jRCa5/sqIf/zWPi2ZWZPZpKCz3FEZtxAzDbGByFhnJTGOq2IgM9ZVyUrvWoy5K2uclMI1wWmwcVa08og7xGIMjKKM5Y7m7EVFd9jGCzYi1Iby90sGD8OAsBYe3rSxfWTPzum90kQ0ahB4ptjqfLywaGxpnmDpsUE+lRwROehdSeKytxJ6jMnHgO1obinyoFKkeH7KQAt+/1NNPvalJlFePFUxt1eyt8zZ21tHd5d24HosXt7XboXo8pGbbq4ck79uyOlYhDlaxzKXuFlMN/FTuSlCWIlS2YnSDq7HpvaFkTapkrsqpVwxths9yAzveM2A/Sc8fv+TLfoJlg1KiWLGhHKmJeXmyXkS0FAVYKkcKEaast7csn6VKJqwLRDa5k6KP1WCfOIwagNJahhEmiSLmWk3SEz9iPLDw8Rp+Xvlx926dSuHD9x767ZNrQ9funuG6VZCs54RBLbrvqpPIa8ArO5u0VTZiTMWJFbgLl2S4mfOLJPSChR6Atx6DNwle3sZvVjwwU83+U8fbHNxyc8LSFzNXdwr9i5HILva29XcTGjv4kSIifcm9fcYCeTzCb8RqF2GKp47OrxM15eD4MXYalr2bBbPx5h7cktCd76hGqsh19ojyxSb5zT/7oc7/KO39miFqe0oMKnjjeevTQbGjiuOtWXy2GHwgr1TQ+nAVYkd+7PMjDN4VpQfFH74ZDwyls00xIlhMNIsr8YIv40WtQ/f+qW7b928ectaBgeohwrPDz8/O5W9RWY8Py07fAoAr3UV3CCzSrWbtfrazXSOZT3X0d1CPytzl7UmKkPWDJ/+fIP3fKDN+WV/rPXM1d2u513UnKytN5mQKUUlpAtuB9hjWctxIb4eNX1D6natwgLYhQ7H1eElE5qqbmWNszLO4sLofIeznMENCK3t69xCFNog8Ehiw5aZjH/3I12WupIPf64FNcogcz0m10hibX+shdMMIezgT0TunJC3vemc2QVjpbZFMRuIfDqtk8nUYJSNNYS2dZA6M0SxwaDoDXm0FtY+n6ajsUM75sxc9bzXEC39xT2bZxYenJtOCIN8/Nk6HTgViKtEzLrgLtlcTzByNtalM3ZXbiC5FtxSZqhQc/i0xx9/rsm5hSAHtwtsN7C0mtsXle5es4Hr5B3WyBNZor0KKMdl27rr7v8MztcyOBNa1Ck8KtyUsfFuBbs7496MKfajt7tFjLG6qSbVlgOEYsmWDRnv/rYBe3fk2++ZSSZPx5jc5Gwd50ye5EyeFFrcSeuXGc0yZhhn8aqZYZ1tT5yfpxpGiaEzkhw6Gz/4a7932z1ve8vrnh3gABs2bmF+01Z8v1b6na5bMr6kmzHJMQZuV4a4Kfp1MpPSkSVF0mY9WVJ2xQeaI2c9/q/3TfOVh2q2gVKoZ7m7Gcu8NoZnaWZwtPh6gIe1F8J45dVabAv3TTG+3BbgfXagizFwG1PURRfAdZfuqgCr6sCfeK8At5Y50HOpom0NS2ZsKl9rhR4JXn3DiF/8yQ6XbIshKUCeOYFnVgHeaIwxFciNIHFkSurIEpu6F1XA6YJ8zSyYyZS+mZB1hnqjzvY9u9i+e+eaY+lNvlHf8Dak9OL0yKeIk0OUk/Vz66QCtlswtbbF6+3dpQAALItJREFUTLjMPOF9i2exA20AqhFjtmBWShVrB2qOX/T4D789xcduaxALNZHMcaWJZV1P5HXejLO2ZKJojAk2h2cHuvM4TtyTc9LH7UUX1WuKq9wzN1FgVERZlaPiJnrMBNCd7cEFeYNKUX1o74UnbsgTQLoSP0IoUg01L+Wdrx2Qafj5/zHFiYsC/PzzFVnNohFCQjFoOTGCTECGlS1BMQUrT+Ob3OqzAWme5nesxSqotQdO6LzM2jl2Ahtu+R5ce/kW/tEPvi5O04wP/PI3ALj0t9Bu13+qNXPJVWfOnH9llgwIfYFRTte2nGDqNV04E06JnJA0BcgndbdwdXeW241VEZXnZZxY8PmZ35ziE7c3iGW+BdsYY3vl82K3sXJ4vWQ8Lf8sscRYEAlrtfiaN13mNhVV/8/cXEYvbMJSmFegnQT+eEHWRGbTWHDbrbTthy2TP3mpbfE/EfnyIIQquwfS1OB7Gd/zhiGegp/9zWlOXAzyJXD8c5cWDx4I+7cTXV39vjBl/ECuw4vBQuhCp+c/y0Fua06w20s6tThQzWmfnW5x7VWXfHXfJTt+Khr21hzWNRJlaqrBPXd9uTuM6wc6gyCLYlk2c1ZzAk01smGybnuN/HDqSSbvYuLRqQwUwtXqNhV/dlnx7/7HFJ+4bR1wr9Hflr19adm72J3BlSdF84WbxCndE9cdmWRjx+l2f2eMzv9f3MZ0uBmXKGO1KWZcpljNPV5pWGpvV6448w2NroZ3mrICUVmP3CjSVOJl8I7XDvm/f7LDlrmkkiiuT17ocp3/HAvIxFiXJc4rDZNSroxXIlbVho7DUv58vLS2SACFgWDTXC3bsql14Mtf/nK31mh/Y4CTH6zBYPCTftB8XBvrRhY2nrvvjZ3uOt7Vvi7IxQTI3d7JsYxkobmdGhOZopQm8wUf+EyLj32xQazW87krv7sEt2Bs9EOVgneCS8alyhp5Qh48TgD+2aD5jX/nWf6lw8jP+nNclh7X3pMsXoJcV8Auq0LLunFn9JvzvtXihZWo0JnEywzvfMOAH3lLHy/LcvtwHZCPvafRuSYfaYiMTQglpkoGlbo8r2lf+9wpx3USRQa7VUm71Xy83+v/5LPxyroAf/ktr0GKNNu5a7ephRD6Gt/X+H42vu+NrOZuy4lmhDJwFOuwtuusFJq78LcnZIlSGjzBrffU+citDSKp8qIEF9AOc2PT8V5eLehh1u3SseA2E8Hls2jvCXIe88Sdn7vK/H/KJTRrX1fM7YzlmLBW1jYCOMFlfjFoJsCuKyel+n05luE02gk+tc126kwSasO7Xj/gtS8ZIjL97Exe3nXpsGQFk+dATdapKV/zOhMlwIvXcQZxaj3wTEv27NljBsM4e/WrX7PusfV4ltv1N/z/2vvycDmqOu33nDpV3bf7dt8ld83NcrMHkhghgbALiLiBgKLoPIqjo46ifCoDivKojPOBuIyODsIjM4wO+HzKAA4QF1aFEBaFIGKAkIXsN3vufm93V9U53x9nqVPV1ffehIQAM+d57u3uquruquq3fvWe97ctQxCUbqOVF+fCH8q7nmW5Hdsyx9PMqMXTCaJIQTOxVBNJ7conaiJJLCWFaimQcRAG/HplFl/61wa8uDGjEoZTgJ2kJmpiacd6U1ieS9Tg4AlwVzl3YL+2FBQSXQAHwr/NpjWuiGqwixQrbjeRssAOPcFEYoIJEE7BIasAcC5b7kluTk3yMOeO3AcCWfs7BBbO9PH9LwzgCgf47cqc5OOOOhIz2Uw7TopA7R8HAYNk21y9dtRrasWO67kCFTrLB5H6Egp0djYPL1269LZcLlvz/NJaKya1TBbB0DM/mjV72r6GwjByGR8Z14fnBrL1tek/GfWdtIvxmIg/zaVjQVLquSmIaaec6SpUEtz3PFqHK68v4sVNCtzjUBNiLHdU+tieWKYFUUnvpagGNyy+bcBODKbTJpkHElEoEi+qIwkTV0AM7Pb7qmmKTsTVk81YpVqLwmiJ0I5ZiSRFtS6U8SqcU/AKwVHTfXz7cwM459QRaVqN9fZRlfrG7XgWGfBV4YqbC2I0c50tJDOG5LIKV+tDoBIQlH35N1IB9gwC02fO3Xf/yhd+NG1qV02TUtOCA8Ck9qMQVPpR7nsMlfJoLCNeKyryx7ez5OPPqYovicef6DtAqOK/LWpCJN0BA+5ZWYev/riI51+uBW4aWXIV+MRIomg9SdO8heHdsK30WJbcGjGJMG05SQHwuAi3lhkZkZga23ErndZyMKmo2LEqcSsuH2G8nFyVpCLqg4iQwgJUASHpvHSUlEiASoiFM3xc+9kBCAH8JmbJoVQR6w8C4I46QTI41uey3o5L5PFwZc1lUytpxc0cyZJwZSFPgXx9PRYtmofW5uKYp3hMgGdyk8uV8tCnWd2M2wV/Ns8cWNbJrvMsD0SDPQ50bgVZ2bKgAjexMnQUVQEj+O3jWXzlX4t4YaOXALetc0dl10DtSEErSwc6NlnELXbVBLNa27YBnAb0BENJrBuHhwvrw0V8sZYFk0vjLnwNdFsrt72cSmMmGtwCRIfTWhKiBr227uBR0SdQGZAVNa53onS2MrCo28e3Lx0AF8DvHq+LTui4V7UEeShkbHkIgAkp6WpfhYkLh7xrxsJsBcGJ87qGM4x+evaMzvJBA7xcGuDZ+rlPdUwXA4Pbnsz7gZyQxPeXIKpFmMzosXi31r8tvZtYThyHhCAOh3AI7n0yiyt+WMSLGz0g41gTyjS9W4JbO3Ticd4iJUM+LZbG7kBg0RNbIoSiKzWsegzxwNjgTvnJ00JnzWsdF66dJcbJY3ci1r4XnR0rqqy55uTEqp+iubhGJ6HyYoDaTlpy9dtCWl2zfxWBBd0+vvt/BiAEwQNPZBFiPJBzGHNPoFLs5OcGQt1xRUQLk+clFIBLCS46/7SBpQunP7Vv334+1reNY8HbAGT3En/4wnzz0oeH9610gYw6fRHvs3eB6AmccvaQBKijcFk92VTgphLcv386g8u+X8RLW1R8CUmz3HFvJQGsylTVyQs2JTHLEMmENphjcqAGtA12g14Ss/T2ew8E5cK25MoJYoPeXi/PdRzUVXzd8nzKSRpMqT0BmEwgouNVqDAWXNMYTVcMuFWhJ23MOddfRkEqIY6e7uMHX+zH5wLg4adrgVyY90RDd51Qag9MMTnzFmEdnAABqfi44F2L/f7R8oUtkxr25vK5Mc/vmNcaIXXwR9aCZBZsJ9njX3ZYI+oyw8hnS8i4ZbiOH9UiSUwqCYkAHHfohKBqMmloicMhGMEDf8rg0u82YO1mTwZtU4p0WkKtvwTvhlW8BxE1SVrqZHKDcfJYoK3O2EleAHE02+vNO1JmmrbaF/vwqhlm9fZpMSxJR05yYhmF15KEPBhFHHJBYxPPqC9nPChLTjyVdMgZeOhAVAjmTvNx/eX9eOvxJTihqmMskkFaAWIyohXHomsB2iUjOBcQPIQIKxCVEjA6ipbmepx10qKXT1o8Z/ufVm9Bvs47eIDLE+9gYNcDm6nwP7mnvBjLn/SxrqcC5lTAWCDVkZh7Pu7BpCTuvIn4dwCHyNgSwYCHnsrgC//cgLVbPQibc9MkuCPLDWWtdayJ6WdpUuPi1jo9O766zYrBZtryNFgfhOVOjiprnLgi4knIxLxHqyXmM2IOoZQ/wARqaQ08XvfQjjpMgt6Jg1wXFhIUokwwd6qPf7msH2ccXwINlTRiRyAKngLuuGZuXLga7aEPxkexaOp+vOP4bbj4nGkYKYefvGX5Y5td5ox7Xtl4G3i52egbGEK2kN/x2MP1j17+o22nHjtjC66/bADd7Y4q76amRkTXPlGle604E0NTSGhUEycjsGWvgyf+4uHqnxSxdrMH4aVp3Da41WvISaVu9ZeeGR+PfIxZ6xTFJB4YldD/UoCedPwc8qEsr11y1fz2io9rymJnvZjAJpMVJGM5Yvq4qi0oaYjFz2g0+QSX5TX0JFXKG04s017/9pQAxOeYP93Hjy7rxzdu4vjjsxls2csAbWQ5VOqgPpLkRJoidssTAgg4ZnUO47uf3o0zlxQgitMfdRtO3iHCITis2jWfHONfAgCu+9a1ePOJ797f1twwWO85H6iMrMfpx5ZRzDH4QZRmanNuYqslRGf1hEY9cTICa3tcXHtTAT/8RT227HYh3DRwWzVNiLLsqvadSzXAhRVMJRKPFuCtliGx6lW0ehtKSdUy04JaZXdLPZ1E60xLF1WNV29DiJK9omU0ebHBuuOkyZbWZ0l1Kl5vO9kMyxQLpUnJ064baa8jiQuYRBdxlUoUXdnRHU/dyUKgpTnEW5ZU0NERYs16hv29yvKMNezvtWf3HGjKl7F4ZojOye8GzS64fGTg5ZX5htkTshHjWnA9Tlg0Ffl88ak8G7qrLpxzflvxWQyPeOrYpJMHtjwYkwLjfNzJCqzvYfjmjQXc+WAOpVAhNdU7aWndNJpUMiJ33q4n6CCefhYpIzWykGADJGGdYycd5nuJ+RHSjHZUFyXpKEobMV5NEsstl7yZPFrbxygLqZ6ccmEljCOSpiM3vtqOKNNvlBMCDgoIDgJd7EleJZSqCSblpugn15MCrWUQgAYh2psCfPhdI8h4Av/44yI29EDqE7GjTJAx6zigjIGTdbF+dwMeeuFNOOGkY+9qb1j41OBg30RhOwEOrkZnVycKhf2bT1y27PPdXQ3LB0fbMDSahR+yWLwESThxIr4dynLHnsCG7S6uvrEowQ1HSoFkjD9Qc1VrZ45s8xevSmUsM0TMMiYtZox7ExuMkTWzFRMD7JQLwKLsh46qCPlBVRNKYa0zizSftkAP2+Fjgz6abMoJZzVXNxxcRIFZpnin8npGUYlWbqfh5ypTvyRjVy586yi+cckAZnb5KmlC8XAeJuJXLA6uTmOWAk2uwKz2PELSvLx7xgmff/bFPZubJ7UeeoADAHGmYve2x7YE3pmrB8rzMTziQHBqAGMcPFAUxQRQSbc8zXBs2s3wjRsLuOMBBW5mWehaf1RbcrnDrgI3I5YsaPIsRXxCSUTcsWMD2gaoRf2qVBRbCUmx3CTxjFQtHw/MGpTRa1FjM2FtJ/M17W0IYKRbu24KSeRqIiWs1k57i9Lcosq0yeV2NGIC5Op1GFBkhcAHzhrF1ZcMYHqbLyt58gSohRYJ7dfyd85TH29Z2I5PXLBk9R8ef3LLcYsnHwhkJ05RzElkM+HkO79d37BxJhnddhFj26RUWOXE0X8hqCNQEQTPPJfBjXfmcfuDOVSIqjZvLDQdH9wkrnUb1YRWB06ld0XToLNiwIEqyhIDr70dkoAncfAnB0l9WhO4tYBtJpZ6AUE1g9HFgzTbMG5+abmdGFWRdwCiPZzKmuvCmIaWUA4K6RSSk1MCqGAsQ1fsg9Pmkqt5DTjCAPAYx0VnjQIcuOGOPP68JoOy+UJ18kVonVgOwQOM+ARzOpux8Kjpt5112rHf3rp564HC9cAsOAB0dE7G8K5f93u5oz7e0FBeydgIXFZWSQrRJNOUVGMCoyD42W/yOP+KZtxmwF3LeVMb3B6J9O6khY6HxMapStqf/mGSvNsOrqoC5eFQSiYyDLjjOyASV0VEUUh8vbbeIAn6gSpNXNjW2qIrQgdlJehKLUuuw2yFcBAGFG4ocNFZo7jne7346LuHkKeqwaXJ8bQsuQhAwlEU2TCER1cuXTDz4//+83v7p3VPP+BTd8AAB4Cpc87FnuHRkU2jf1f5+R+mo29QnsSoTJvyUHocw4LgZ3fn8ZUbC9gz4MInaWUdJg5u7YpnCUCT5AQzwbGj4Kp4UoMdaBX3VCZeJ+lLfPGhxnPs0f6WKNjKArWOSTFg1l7PeNZPLBoxhX+bKMRE1KGdtFwT5FZmELeSKUIN8pCCcYHWQoBvXTKIi98zjDwJrIx91e1PwbIx5+Pyi8r+T79x6vONzf0jn/zIuw7qXB4wRdFjcsdCcM7/2Du0WOzc139Kfd1whjLL/c5CbNjFcPcjdfjWzQX0DTLFtx2FEq1n09rgRkRLqsBNq4vW23BIKilpwKxJPxLgjYO5GtJkPKpyQEPzZwvRyc8Vcud1ew+zjXbJEwvE9nO1n1zFfJh6IzSKTJTKi0p9oxSEK9GbKvBxAkplC3FQYrRybrRxtYM0ojw6ME9eRBzN9SH+6e8HkXUFlj+cw/o9nsKBbmHpYHpHI9528vyX3HDbZ938jIM+mwcP8PZ6APjqrjVX1hPR9ZLgz0+GKm3MvBBPPO/hH28q4pG/ZFEOnLjrHWMBPGq0oi2v9lTSBLiTzpyoO5qo4t2ae6cCPjErTFVDbKAd0CzygDasGlUxhVWA18FXcbVFzz8lF9dgF1EfeSGruupCnfJKkcUBifU5FArMBuTELJefydXdgkaSpGk3KO+koUpiIKocs/A5mnMhrv3MAM4+qYyrbyrij6uJqm0jQAMf7a2zSk1dH1reUF8nWltqJzSMNw6KotijqaW7Umya8u9udmrFIQKuG+Dx1R6+fH0j7n8yj7LvysZP1CqGSdKiA/VEkygNFMZTyWCF5VhZ73YAVTSZjGfFj11rEAbl2nuZdGzooKsjwr8tRSWZ6BCLQLSDr+zJqEJ5Oi1JSIkcNegKYty9qnKW6Q2UkgKnEpeFftTxK9xFEDBkGPD2ZSV853N9OHHRiOwVFAgcNbujMqWr+Ts/ufPBq1tbsvzATlp8HLQF16NcQYWwGdexzHBlR8/ub/7yDkHvfKSIZ9dlpZBpgdaoJSARoKE9lNRsY4PbpJ4laIlp0gobyAk1BTZFEVW0BEAqs6j5+lCDPI1+jDGIeZuobvFhufQjq626DCesuJ60SusNU+RSJzmYjiVQlt60LVFOIENXND3Rsop+4Mryy7upDuMFVKkKIsvG8QoFDThOXhji+sv68Yvfl3HPn4q8e8bkb86cNfX7O3f3Vl7pKT4kP9mmdT9HW3NmwW8f7fnLR6/6kzNccmSBGHsWByBy2OhHxceppirRpDKjrfcY4E7Skir3d5LG0Iif60IycTc9ib/PctsTol38JHKpq+0dR72PSne8LK9B1Hr5GFtG7XABXY4jetRNrxzTsc5yZOnjNHVo9PPofVWl82KZWEBavRrj8bWKpOp6k3bjAidZ06aqcJMVCk3skGnrD9zQFwj53Z7LsX+A4JH1F4Y7huYvzrLh5z/1wfe+Ymy+YgsOACXMR11zYR3JdV1y7rsabvzl756gsvsnbK3Kst4WN0iCG/La0J0XnPHATastd2pAlaWCpHkpqyrBJl+SOB+ObS7in/WKRs1JZXzfRK23W55LoY5Lx4LLcANhTT6J+XhA9dexXPUUMurV0RadAyEFHE7ld1BuFRGSOrmcWEojJu8Ckj8JoTPABHTRT/UKQgB+QFDffBY/Y9miS1ZvP2pdZ3H7Kz2TAA4RwOfPWYrfP72+8t63nXgzL6/K8VLhB//14IhEKVSt5mRGgc2klWJCEC+SGWXA25PIhOWustZxilIrDkV/X/xJtKtp68ajMgc7RI3n6YMYq6dpiZ2zaS48vQ5al5HvM1IiB7iq263DbzWlAKQkKB09enkEcm5HHAqitpHqiiBc1iVX8OYq45IoIBOiwS7UdzIEAccLPVPQV8n+w3nnnnHz8bkXwlzD0kNybg8JwAHgzKWzMdi/ObzwnA9sIHhucN2mhwrrt+7BcEDA7Tju5I9loY1awGYQYyomhj7YuZY2sFFbszbKCYmDOaaoWMsM8iZgoscHaPWIGefxPt+y5tVeTwLLHssMGBF1KZbXhAK6uiVJ7USAjgFyuSICORGam0sYg0rbLUQIIdRdwtoXbcf1ThPCQSHl5NFyiIHRbkybccHgzMLxG7Zs3xZOn7LgIM5i+njFKoo9Mpl6rFmH5aefuOyzP7ry1P1f/ICP1rphQDAQykBsaTAFLbFsHB1bguo472QZiCpw24oKSYC5hkUmEwCv/oGqBqm9asxBDnD5GLtg1ok49YjfHbSDiCDp6ImVluDRelM4P+EEisWtcP1+Ggvm0r9xVJifIgwdBIELAorewQp+saIdPZX37Z82/bTPdjSI5bm6+gM9i2OOQ2bBAcDLTlInee+tp5x0Kstmh7792yeebO3bEiLDiOzpojNQYh6KCJi29GcDvZqaiFSuHYW+1lBUgCrQH+wwe6847aEWWWqNiX1PREmM914A2r7qBVGtHqLohArvtS05lCfHOHLUj8QVx4fODApraPVyhJwiDFlUQYs2Yda88/d0Tj/jyy9srdz6pjkth/xcHVKAm1NLWrB+68BPWzrPoScf739rcOCPrX4QYMB3VI/zKGJMZ1dHladUbAniQDdWnFqW2wrmj3stRcyi25QkAYHEk7EOKv5S8snDcfbG/m5CxAFeSYowWJxcHkC0Pl6QSqj3SEzrc8tpHOSEUAhw075QUyKZ7EygI0oJ4epTpXX3A4bRkgs/yKNt6gl7zj/mzK8Agz8lZNJED+iAxiGlKPaYPbWIe+978Oa5nfkvnfbmzv31rrxp8VBIQT+swCShmh9Pg9wGdYrlTshsES+PN8CyrXXMemPiGLFjsmtF/E3gUw7uJI6xk+NJ6GkJYTFnD5IUJe2PmueC27HhsjhmMlnZrrIg3fMy6M5lAbJuAObIi2BwOIOhYP7+Eb/tS5vWPHzz4QI3cBgBDgCf+dh58GjpluMXT770b85tGmSsjHpvBPVuH0gwAoR+LMhd05NYEoOtnlBRQzmxenBqy05g5yZXyWwHOow4YS9MS0h4xUNntKR/v95EHtMEvjB2VRLL62ln9qjGT6akcrzEMueySA+3QW1tG0tc1vtLAEo4XBYg45VQCUdQ9isYHq1g7Z4pgxUy/dLde3HLjKMuOBQnreY4LBTFHu88ZSfv6ha33ftQW3Dujvx/zp+8Kjurqw833J3BfauapQsfDERpqNXAjuK9qZVjGXFvkW6ttThjSYIHar310JavNiVJkPBXKKVUKT41F05g36E9mVY0ldY4dGIEtKdRDl0PXp5bYroSRyllMuBb0hBiGlxRHegCAMrh4zIf9z/j4Cf/3YzJTRl89D1zS5x1fOKXK8M7u5p6X5EbfiLjsAN8ytwv4rp/uT1ctb75zgtO6gnndAY/n9PxWHbLnhJWPBdgVAXmSHCLuGdSefNiXj8D7njgVCxTR/0zeEgst5dVAUKY+VgNh8sEZpQ20MdRWEjKtrGPIdG7o4tUxG9IJv5GVL8/8dE6rtwWD80hqavYTNatP/AogcKO/NNNvggX4DSiPhDSe1vyOX73WAPu++MkfORdc0r7hts/fPGH2u46dXV/OHPRRw4NyMYYh5Wi6HHlF96PL3+oP3zm5Q//qqW1/WKWmzVCKUB0ABZIRE0gDJB1SprOhI8K2UcW3ebjNb2YqAZ9bCQTB6zlwlpiZ9ZEmTSo4igT5epJ1kTIBA0zIanviWRQUXVxV+1/VbEgu+Ks4thWb83QoiuybnfUezPkBMl4cvncQRA44GWB4xZ2j0xq77r43PNO/tVPbh4KZy764GFGnRyH3YLrsfTk92LvxhtF2/vvv/2R75/Antlcf6OgQw1EOMYgUkjAMstFT6nqTEwR49m16Ii2vnp5zL2etmM6BcxytyfX60Al/XnGqJJIcRCJb4i2Fwl7Wz1IFdIja5wO/BSeTmp8XsrhJi9kHasNdUhEe0fNOSYgNOp9SezsZkVlOKGyEpUTWfGK7yDkBXzoPd39b+rJf+Yzf3vN7Zdd+3X84KpXB9zJU/SqjF/+9/fwp9XHoLWp/+Kt+0a/v/yR5ydt3dWPfJ2LIhOocwQyjoDHhOyv41gcPI2OkHGs81gHb38GQbzWiHo0lEgHYlHAUQFXOsDKBFIRHUhFYoFVMtiKWMt1E6W0YCsRf0zQtbRAK7s0hh1YFR1byr1E2E8VuIl1mRrjIcw63W3PbgvJHNn1w2UhPFcqJp5XQYaNgHqTILyT9gW86bKO1rpbfvXwerzvvCteVby9ahZcjw9ecDkAYNuu/lsyHmNdnQ3X/fjWP7QODJXhedT88EyBmznWD22sW8pEMjGBTNKMtN43xsoa3i3MZMtKklHbCmW9rGQC6/tq6nYp35u2GanxmAwnsMN5qibXluUHxgK3paDE9pFUn1/zHbqkMwHlEuBCZTITAlAuEHAu3fecw80WkG955x6ncO6VAv4txD30TpyJjFcd4HpMaW/A/r6B/7jkoreQDHO+9f/ueKR1775+EOrAoarHjiMkyO2QcmtUURTbjAtND2BxabMq9kKDHIjioDUd0eDXC0ycteZVdmpY1Xdp/lN9/KkgV06cGKe21iVzSfUH6UlnvBN1wiInjjuuh1sr7buakCpKdHFF3J9SAc5lXUlCZcc9wYGKzyFIO1qa3rrHbXr7VyDwH4QeGXADRxDgANDcWMTA4MjNHzv/5KCt4P3ghl+saNq9qxcQHC4DPBdwnYg6AKgCa6osaIWDaj+alMUsq5UchrxHDVYBy1prCw5rPyxVTO+YUDsi9MpxeFNqhKN9MSuwRpZVx1Rb6gmRIEMC3HaZDHOB2uG0ZmIZcXDAit8BkdJfdITm/BMiKVcoqIrnDsCYQC7fgkzTOb2scNIVgc/+0/XGLm98uMcRBTgAFAs5lCuVW88+Y8n+J17YMYvx8Dt/ePhJ13OAnEdNMoGp3MSjcAigWv/WC41lUm3nAKPgxvkngexfqt6n5WJtyQ0gSPwCEVbJM5P6ldDlxlRRbD6lF1lA1pvEwtKS9CQB5Gh5xMvNB6mLnFvOGOmRjBQVez803dEXtZ446rbaQhWpdxmH4CGyHkdj2wl+XZZ/qdBx3AZCM7+hLIMjPY44wAEg43l8xVNrl3/x7871Vv91zUhnA7nhr8/9hYCXqUNlqGUQCgShQGjRAsAOrtITQ22zhPrxIgpicg8RLSdCFk3VYIqC9IlRVzS4k685qTbQaS7yWiMF45FlTrXGdgCZqAJ5lKGjl0XgN3MGcxFTVYc7kvkAef7sKE3tCNJyYhhKmTAIVRsUEDQUinxa6zKRKcz8XEPH7J+VBnsqdcVFRxpWAF4jAAeA046bi1V/fqFy1My2W5koPVzvVd7fu3/P/+3ZsQNcUJQrHKbXjIUarRw4NFI2gKj4JIQCutUt156A2hWugCg/kahMFQcRqLlQcdNRMB7iDZ9grp7xpEF7pEmB9iSv5qQSIsG7RSx0gdB4OY1oMk2AEOAhQRBQBDyiZJF/QchE+pgFl+ewVCEYLROUyhwtLZ3INU76en3DzNupN3Xr3p39ldbO1wa4gdcQwAFgyTFHA8Donb+6a+3iRUdf17Nji9faUrxq69atTs/uYeg+NZquaFWFUgLHgZLiIosd6IJJypoHYfReDRpBoh9Vt1YXsNp1KAoToyqIW/LIaiv+DlSbbhEBrGrYE0aSAmzYdyjNwYV154osdZRXaQeeRQ4ozglEQBAQ2T244hP4obTgROV96rryDo2+h4IYauj7HIMjGXRMnhq2tbVeM2Va13XrN+4Nz5x96pGGUM1T+5obd919N84/7zyMDO275v6HVv7D7x58OrN3Xx8qPleRbAIOJXIyygg8RsCYfE2V2QoCgcERjv5hgaGSgG9uqxFgTKxLWnQiifTvKPk3frfQCcVa4zbPHWItI3DUa+aoi9GJtHCHAo6SQx2tdztClZJJhCzQKKFY7zexnkedNSKt2tAWyLuSHzgYGnXRO+hhYNiBr7IKHQq4TPogPJfDczlcxuFQSVHKPiDgwPMKKLa9uTx/wan/3Nkx6aoH7/81zjr7nCMNmdTxmrLg9jj/vPMQVAbx0lb/qhNOegttapl64n/dsZwOj5ROXL9lPxNwkM8AzJFgY4wg4xJ4LgVjcnIKIRBwH5v3hhgYpcrCRRnqTOc7S/4BQuMW2daK7QmmqbVt0xTNVasiQsYfVfmipHqZTUOSy+K8nFvgF7LJrqMb9Or4bAJKQ/TscbGvX4KXOYDLokArxuSj6wrkMhWUShyEdQSM1T2xeOk7eGtH9xOOy6/au28ALZOKB3jEr954zQIcAJhnWlR85bbb78HZZxxX2Nc3dJOT2/SBVc/voKRcQtZzQIm0jJ5HUZdxkM1QZD2C+pzAlI5RbOwdwZadOdR5DHkmkHWkxh4bFKZnqeGcSvPm2sFjwG4rJ8KUOjOTUIuby5F+o4zxbLUg8hgiRkHiVQMEYtW7rNIO1FqvO1DrjtTS2+ijLlPCzj4Xz6xzEVSyqM8RZD0H2YzcGYfIuyIAuLSC1uYQI+EULtwFdzhu46e29/QMdk475kjDY2IYOtI7MNFx0fvfg7UbNg42FLKXTp4+az3xVi10Kr3nb9m4AaTOg8scZDwHuTqK+jqgkONoLgaY0TWKyR178fWb67Fm9yQEOceKwRDGqtsqC1c8nuuJl4i0cduaJ508UZMoXetPT95quDmtyWLcgWMpIUBiEmlxb137xEw2bQuvqIwj4DghXDdAxvXRWBjGlr0l/PDudmzdSjC7tYIgoMjnBLhwQAkFc4BMIBAEFTQ0z0BjC7urtbhsNWfdPyR8ZLC9c+6RhsOEx+sG4AAwd9YMANj70rotX/unyy6c/pe/rsGaNR3nr1v7IkQ4As9lyGcJCjmOxvoAjYUy6jIBzl7iY9VLvdh8dxZDfhEeVV11OcB04Ukheb2eoOpSCRq4tn5u6moLbdmVFTeeU+3skdtHk05La7Ze2eqIjonXyRpRAR87FkcDO1KR7AJiNn3RVtx1AtRlyuCihHsed3Hv0w3obnTQPxxItzu0KuOAgKOhkMf0Wcegc+qsu1o65n2hXB7eXGyacqQhcMDjdQVwPebNmYZdu/duPn7JgisaG+puPeZNcz6/ZfOG03bv2ICMM4BiHijmfRRyPlzmw3U5Tl9SwW0PlbBpII+S66BOxHm1CXG1HD1RoUrl9FBOkqjfjd1NWCoUxFJdYD/qnU+qJAnqEWUhJZQSa3Kpq3HFrXpKwVENciJBnnF97BsOsOKZPIQPlENgsETAHAFCQoRhgGKhGfOOno+j5s9eUZ/P/rClo/s5Pww2F5umHumf/aDG6xLgANDe1gIA64UQ6wGsftzhnYsXzftJ/941s4d7n3Hq60aRy1ZQ51XgZitgXggnDIAgQMAdQz+SrnIb7LrTr5YQpXZITNdfwi3HiTLTOjyAWhntUY2QiKqQxF+y7IUpL0fjfNuOFrStu/wcofYhEWBGIEtauwEECxFWOEQ5wLDvYaAEQHA4zMUpJx4THnfM/PWU8r8/euHxOwCsrar49Tobr1uA66F+gLWD/b1rOedv7y+yrlzdojv6d95XRGVDnos9eOKvwM/vzaGto4Qdfgkh91QsRRSpSBAFZhk3PTSwYVJDzGRTcXXKdQniFMpiXS2x+Bkgwa3TH2NyJRExKx4HvnquPlcI6cThhCLkkmc5DsfIaICeHcDfvGMIg2EvXtpO4dU1Y8FRk4c/dtFpAw7CC+fMnrbdcZzNr3dg2+f6DTOElDJo6A80DPatPSGX8W96cf3z9df8eHOjX9mOK/+2B5deX49nX+7A1IKDxixH1pMZQoB0fAikFxSyE5odh6iEDK1hk/ij0r2l5k3gMgLmSPnSVVo9cwCPAYzpiEmh9HGhnqs/9VwvMwA3VEVYzh3tbZQ/q0MFspkA9XUlNBf78OLWIVz+48n42sd9HD27fvA3fz5lf1fnEtaUxyePWTTryebG+n5AcFJVgez1O173Ftwe6ofhI0Pber3c1Pu87G3d0+d+4qPXfG34sr8+82ClmH+anL5k//z9vXVZFo4iwwRynnRHVwKgEmgWQlSJg8jyhlYwlbSYxHBxY8W5KpxDoHIUFR9XXYWj/YxPDGN0xK4CG7uwIseNvgCByCXPHLlcO3JKZQpCBUIuwByKQBSwZnt9aVLH/DXCneNOnX3MrVd89CPfu//ffpmZPaVQ6u0b5JOaxu8c/HobbygLnhxSIaDo7Rsgzz51P7b3lZ19w8UbAl/M3bF50yn9+3Y6RMgGWjv3lbG9j4GAos4VyLiA5wijbWsPKHNkCC8z1homTCDK1IksOFMW3GUUnudIr6snrbfLhLLmQiV2KCtOI8utrTdj0qsoJ4TClEsjAFyXw3MDZL0AIRfYsiOL/qECMhmKxgaGrslNYVdXx8piQax9cVP5kvWbmsJ3vm0ZfD8Q9Y0zjvTPdFjHG8qCJ0dD3hyeNsTB7r19n8pmM027d++99p5fP+D1bN8WTu3MHetlhpbcv6oHj/5ZoMGlaC06oMrtPzhKUQ6AjCttunRdR3EnUkGRE0g92SMECBW9cUztPqGi9WBdDNoFj7grnsbVEEqglJAQGY+j4jP0DzG5Pw6H64zCZUPYsD2PLb2zkWX1qzxaeqbQ1OVMm3dGpb446au+X+5d+OamI/2zvKrjDQ3wtNHW0ggAvQA+AwCb1q0A5/S0tpbdZx+3rPPCO3+fnTfY52PjupeQcUJk3Qo624bx3GaBPYM5dDZoRYQYYcTo5Nxy6CidOgQQUgGHC/M2SiTnZjomxeLbJtczoe4QIq18MT+CPf3DWL2+iFymCW0tLvJMoLljEYQj0Le9/qWKN/mO7il19wdcrDjpjNOP9Ck/ouN/HMCTo3vOaQCwQogdK5Y049H2yWTWtm19/IZ/6+FzultnHLug9UpHrEHnaoHlvx/G8Oh+ZJlAIAiEw6SKo8LsQghQWRYAQKSzEyIBzKHAzWTch8sUNTH0hJviOUK9WQiOciVEEHBk3RKKxSx2laZg+2ADls2ch2J+73UOdm5s6jyTEreRnpjNbABw3/wZRy5N7LU0/scDXA9COgHgPv26d/8+UJZpHBnY8cT+3QHmlXy/s6PliwVPvC2fEfCDEA8+/DTKpSG4jsyMCTlQrvgIyxXZFUGF9GZcgjB04FCOfMZR+aYcHuMqt1GK6VmPgTEPlUDWF6EOR2NDHVo6l4IQB/X5APX5ygMNQe8PuqY0uN0zF2LmjI4VpdFKX3HS/wI6bbyhJ5mHcqx9eQcAzCAibGcMvFTycf1Nd2Cgbw9clyIIgYHBsn/6aUuvHh0ZOicMfL+iwlBdJkFeyLtoLlIU6wUyKhyVABgpUWQyzC0Wcr/u2bLq6oDXuWFI4Dgh2tuaMHvh+0CIB8/jlDGySwAb6/KvP7f5kRj/C/BDOH73wEoQQtp37tjZ4PsVUVI9wlwGuA5BfZ6hsUBRzHMwJuAxCfChUYpsxiXNLe39EGJX95yTjvShvGHG/wcXGqfEIIo5/QAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QyMDoxODoxMCswMDowMLx9fp4AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMjA6MTg6MTArMDA6MDDNIMYiAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 61361665
{'hecke_orbit_code': 72057594071485035, 'n': 1, 'trace_an': 19}
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id: 61361666
{'hecke_orbit_code': 72057594071485035, 'n': 2, 'trace_an': 4}
-
id: 61361667
{'hecke_orbit_code': 72057594071485035, 'n': 3, 'trace_an': 19}
-
id: 61361668
{'hecke_orbit_code': 72057594071485035, 'n': 4, 'trace_an': 22}
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id: 61361669
{'hecke_orbit_code': 72057594071485035, 'n': 5, 'trace_an': 5}
-
id: 61361670
{'hecke_orbit_code': 72057594071485035, 'n': 6, 'trace_an': 4}
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id: 61361671
{'hecke_orbit_code': 72057594071485035, 'n': 7, 'trace_an': 19}
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id: 61361672
{'hecke_orbit_code': 72057594071485035, 'n': 8, 'trace_an': 9}
-
id: 61361673
{'hecke_orbit_code': 72057594071485035, 'n': 9, 'trace_an': 19}
-
id: 61361674
{'hecke_orbit_code': 72057594071485035, 'n': 10, 'trace_an': 0}
-
id: 61361675
{'hecke_orbit_code': 72057594071485035, 'n': 11, 'trace_an': -9}
-
id: 61361676
{'hecke_orbit_code': 72057594071485035, 'n': 12, 'trace_an': 22}
-
id: 61361677
{'hecke_orbit_code': 72057594071485035, 'n': 13, 'trace_an': 24}
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id: 61361678
{'hecke_orbit_code': 72057594071485035, 'n': 14, 'trace_an': 4}
-
id: 61361679
{'hecke_orbit_code': 72057594071485035, 'n': 15, 'trace_an': 5}
-
id: 61361680
{'hecke_orbit_code': 72057594071485035, 'n': 16, 'trace_an': 20}
-
id: 61361681
{'hecke_orbit_code': 72057594071485035, 'n': 17, 'trace_an': 17}
-
id: 61361682
{'hecke_orbit_code': 72057594071485035, 'n': 18, 'trace_an': 4}
-
id: 61361683
{'hecke_orbit_code': 72057594071485035, 'n': 19, 'trace_an': 23}
-
id: 61361684
{'hecke_orbit_code': 72057594071485035, 'n': 20, 'trace_an': 5}
-
id: 61361685
{'hecke_orbit_code': 72057594071485035, 'n': 21, 'trace_an': 19}
-
id: 61361686
{'hecke_orbit_code': 72057594071485035, 'n': 22, 'trace_an': -3}
-
id: 61361687
{'hecke_orbit_code': 72057594071485035, 'n': 23, 'trace_an': -17}
-
id: 61361688
{'hecke_orbit_code': 72057594071485035, 'n': 24, 'trace_an': 9}
-
id: 61361689
{'hecke_orbit_code': 72057594071485035, 'n': 25, 'trace_an': 38}
-
id: 61361690
{'hecke_orbit_code': 72057594071485035, 'n': 26, 'trace_an': 28}
-
id: 61361691
{'hecke_orbit_code': 72057594071485035, 'n': 27, 'trace_an': 19}
-
id: 61361692
{'hecke_orbit_code': 72057594071485035, 'n': 28, 'trace_an': 22}
-
id: 61361693
{'hecke_orbit_code': 72057594071485035, 'n': 29, 'trace_an': 2}
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