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mf_newforms • Show schema
Hide schema
{'Nk2': 836, 'analytic_conductor': 1.66887340224476, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [209, 3, [134, 78], [3, 1]], 'cm_discs': [], 'conrey_index': 45, 'dim': 18, 'field_disc': -38250249325181609293057213418688, 'field_disc_factorization': [[-1, 1], [2, 6], [3, 13], [210943, 2], [2902511, 2]], 'field_poly': [9, 81, 639, 1230, 2904, 105, 4735, -115, 3955, -681, 2060, -276, 629, -92, 130, -11, 14, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [9, 81, 639, 1230, 2904, 105, 4735, -115, 3955, -681, 2060, -276, 629, -92, 130, -11, 14, -1, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4503874538832081, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '209.2.e.b', 'level': 209, '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': [11, 19], 'level_radical': 209, 'minimal_twist': '209.2.e.b', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{4}-\\beta _{12})q^{3}+(-1+\\beta _{3}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '209.2.e', 'trace_display': [1, 0, 0, -6], 'trace_hash': 716718813816261672, 'trace_moments': 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mf_hecke_nf • Show schema
Hide schema
{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0], [-1, 0, 0, 1, 0, 0, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 0, 0, -1, 0, 0, 0, 0, 0, 0, -1, 0], [0, -1, -1, 0, 0, 0, 0, -1, 0, 0, -1, 0, 0, 0, -1, 0, 0, 0], [0, 0, 0, 0, 1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, -1, 0, -1, 1, -1, 0, -1, 0, 1, 0, 0, 0, 0, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 1, 0, 0, -1, 1, 0], [2, 0, 0, -1, 0, 0, 0, 0, 2, 0, 0, 0, -1, -1, 0, 1, 0, 0], [-1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, 0, -1, -1, 0, -1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [1, 0, 0, -1, 0, 0, 0, 0, 1, 0, 0, 0, 0, -1, 0, 1, -1, 0], [0, -1, 0, 0, 0, 1, -1, 0, 0, -1, -1, 0, 0, 0, -1, 1, -1, 0], [1, 2, 2, 0, 0, 0, 0, 1, 1, 0, 2, 0, 0, 0, 1, -1, -1, 0], [0, 1, 0, 0, -2, 0, -1, 0, 1, 1, -1, 0, 2, -1, 1, 0, 1, 0], [0, 0, 0, 0, 1, 0, 1, 0, -1, -1, 1, 0, -1, 1, 1, 0, -1, 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-
mf_newspaces • Show schema
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{'Nk2': 836, 'analytic_conductor': 1.66887340224476, 'char_conductor': 19, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [209, 3, [134, 78], [3, 1]], 'conrey_index': 45, 'cusp_dim': 36, 'dim': 36, 'eis_dim': 8, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 274911461585, 'hecke_orbit_dims': [18, 18], 'label': '209.2.e', 'level': 209, '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': [11, 19], 'level_radical': 209, 'mf_dim': 44, 'mf_new_dim': 36, 'num_forms': 2, 'prim_orbit_index': 3, 'relative_dim': 18, 'sturm_bound': 40, 'trace_bound': 2, 'trace_display': [0, -4, 0, -12], 'traces': [36, 0, -4, -18, 0, 4, -12, -12, -22, 10, 0, 24, 10, -2, 6, -18, 8, 4, 10, -40, 0, -2, 10, 14, -22, -24, 20, 6, 0, 40, -16, 22, -4, 4, -6, -12, -8, 0, 16, -12, 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-60, -56, -136, -308, 88, 332, -38, 120, -156, -20, -32, 160, 74, 60, 88, 40, -82, -346, 132, 700, 112, -12, 74, 208, 524, 66, -8, 232, 148, 98, -32, -206, -52, -230, 126, 124, -134, 66, -200, -824, 144, 86, -316, 100, -28, 132, -348, -68, 178, 552, -106, -44, -112, -396, 42, 124, 110, 968, -420, 30, 156, 584, -344, -140, -294, -60, 122, -2, -156, -218, 448, 22, 146, -104, 108, -188, 144, -472, 10, 680, -36, 48, 62, 252, 166, 20, 12, -12, -110, 64, -74, 438, -98, -96, 210, -696, 8, -268, 8, 228, -40, 34, 126, 128, -172, 34, 96, -130, 68, -76, -174, 58, 318, 202, -392, -264, 108, -292, -444, 760], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 173022
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 18, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '209.2.e.b', 'source_level': 209, 'target_char_orbit': 5, 'target_dim': 18, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '209.2.e.b', 'target_level': 209, 'twist_class_label': '209.2.e.b', 'twist_class_level': 209, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 173023
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 18, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '209.2.e.b', 'source_level': 209, 'target_char_orbit': 5, 'target_dim': 18, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '209.2.e.b', 'target_level': 209, 'twist_class_label': '209.2.e.b', 'twist_class_level': 209, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 173024
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 18, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '209.2.e.b', 'source_level': 209, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3971.2.a.k', 'target_level': 3971, 'twist_class_label': '209.2.e.b', 'twist_class_level': 209, 'twisting_char_label': '19.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 173025
{'conductor': 19, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 18, 'source_hecke_orbit': 2, 'source_is_minimal': True, 'source_label': '209.2.e.b', 'source_level': 209, 'target_char_orbit': 1, 'target_dim': 9, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '3971.2.a.l', 'target_level': 3971, 'twist_class_label': '209.2.e.b', 'twist_class_level': 209, 'twisting_char_label': '19.d', 'twisting_char_orbit': 4, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 517100
{'charpoly_factorization': [[[9, 81, 639, 1230, 2904, 105, 4735, -115, 3955, -681, 2060, -276, 629, -92, 130, -11, 14, -1, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 2}
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id: 517101
{'charpoly_factorization': [[[196, -2072, 22394, -1092, 34125, -4052, 34498, -3254, 19305, -2169, 7714, -539, 1643, -37, 251, -2, 19, 0, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 3}
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id: 517102
{'charpoly_factorization': [[[7569, 6786, 50715, 53250, 293754, 273201, 335797, 144534, 122090, 32879, 31410, 4718, 4463, 311, 465, 14, 26, 0, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 5}
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id: 517103
{'charpoly_factorization': [[[64, -152, -635, -244, 352, 157, -64, -24, 3, 1], 2]], 'hecke_orbit_code': 4503874538832081, 'p': 7}
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id: 517104
{'charpoly_factorization': [[[1, 1], 18]], 'hecke_orbit_code': 4503874538832081, 'p': 11}
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id: 517105
{'charpoly_factorization': [[[23020804, -58430044, 145333722, -73779370, 92887577, -42724315, 41370358, -15091591, 8871256, -2920892, 1316939, -354924, 105750, -20149, 4511, -684, 119, -11, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 13}
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id: 517106
{'charpoly_factorization': [[[13571856, -33509664, 59074884, -63190704, 55163793, -34051839, 19366999, -8306862, 4003227, -1316416, 540072, -103995, 43955, -5928, 2574, -146, 78, -6, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 17}
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id: 517107
{'charpoly_factorization': [[[322687697779, -67934252164, -38436484777, 1740697597, 2897035830, 340919736, -93673363, -47778350, 1863919, 2835778, 98101, -132350, -13657, 2616, 1170, 37, -43, -4, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 19}
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id: 517108
{'charpoly_factorization': [[[72900, -126360, 679914, -876204, 4547025, -6113376, 8208792, -4514910, 2764794, -337596, 384835, -669, 48180, 6110, 3013, 168, 61, 1, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 23}
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id: 517109
{'charpoly_factorization': [[[463344321636, -268186629060, 246004791246, -130614944946, 86443414041, -38217758475, 15368748088, -4422717681, 1148872020, -231256778, 45753139, -7314344, 1202324, -149557, 19731, -1832, 207, -13, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 29}
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id: 517110
{'charpoly_factorization': [[[-331264, -433248, 501094, 446338, 77709, -5941, -2331, -75, 16, 1], 2]], 'hecke_orbit_code': 4503874538832081, 'p': 31}
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id: 517111
{'charpoly_factorization': [[[-1086460, -869928, 709309, 592769, 92580, -9662, -2957, -78, 18, 1], 2]], 'hecke_orbit_code': 4503874538832081, 'p': 37}
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id: 517112
{'charpoly_factorization': [[[127125805400064, -91765937111040, 83660443213824, -4755613495296, 7961661367296, -469983158784, 473951531008, -16168351360, 15944734848, -535061920, 374382304, -7755680, 5193884, -98722, 51241, -624, 283, -4, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 41}
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id: 517113
{'charpoly_factorization': [[[41783296, -66915328, 366919744, -506805520, 2351950065, -2900079988, 5046242232, -444917786, 410600348, -6184774, 23380767, 78421, 680198, 10178, 14375, 126, 143, -1, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 43}
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id: 517114
{'charpoly_factorization': [[[101124, 705960, 10199250, -38294916, 267181131, -71571222, 126889087, 811566, 40574671, 1227935, 5743007, 869679, 550280, 47261, 12991, 1152, 230, 14, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 47}
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id: 517115
{'charpoly_factorization': [[[267813225, -789153030, 2704865634, -623655150, 3092203617, -1304060523, 2458336273, -389776640, 453308218, -85991137, 61949672, -6551540, 2238741, 81915, 40452, 548, 231, 4, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 53}
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id: 517116
{'charpoly_factorization': [[[76585986800964, -8285823113652, 25329777152562, -11652701931030, 8323951126557, -2495664543045, 756852501304, -148682133063, 32187333236, -5209015160, 882510725, -110680486, 14102328, -1401327, 143575, -10916, 759, -31, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 59}
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id: 517117
{'charpoly_factorization': [[[16374647833600, -10553298990080, 9339730174944, -929490993824, 1085754969329, -79288985204, 81427852214, -3530804242, 3757102282, -160953222, 122731655, -4094101, 2558514, -94904, 35357, -660, 225, -3, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 61}
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id: 517118
{'charpoly_factorization': [[[4450779144505600, -1151481598180480, 1532045490271504, 574908654416936, 283343878464417, 52592766884642, 11545077627315, 1373600788948, 237002073575, 22277037881, 3131909037, 197838661, 23796788, 1006661, 131837, 3084, 434, 2, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 67}
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id: 517119
{'charpoly_factorization': [[[10122094962576, 10597109221872, 9368479755396, 3898464766836, 1697055927585, 471745745532, 171172564552, 38975280800, 9620157921, 1562823723, 291027904, 38047329, 5710513, 536477, 56861, 3206, 301, 12, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 71}
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id: 517120
{'charpoly_factorization': [[[120629793124, -795643020760, 6108624544022, 6214894137500, 4380243887923, 1784188737924, 574732904929, 126474209600, 25254775809, 3893531821, 636289447, 79180075, 10247100, 957335, 100627, 7608, 598, 26, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 73}
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id: 517121
{'charpoly_factorization': [[[51046624225, 76091067105, 537093389869, -649010223674, 3436798513001, -267981784940, 546888882861, 56385404449, 76288048941, 4146331615, 1586173022, -44153877, 18746858, -904866, 176183, -11461, 930, -31, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 79}
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id: 517122
{'charpoly_factorization': [[[-3773520, -2105352, 1240803, 231872, -121670, -1074, 3231, -155, -18, 1], 2]], 'hecke_orbit_code': 4503874538832081, 'p': 83}
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id: 517123
{'charpoly_factorization': [[[3020601600, -2700074880, 10128130704, 5379163896, 17252543721, 3958978311, 8139206938, 2460041709, 2789564452, 427096724, 192365929, 13044032, 8840594, 650447, 89193, 2902, 373, 11, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 89}
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id: 517124
{'charpoly_factorization': [[[153169915675934089, -126639655352298774, 74050073354138342, -24996690841825494, 6664741536002441, -1115104233562499, 170479795195789, -16087150323916, 2619548016906, -180062389561, 21638285172, -1046812940, 114323457, -4486381, 394616, -10208, 827, -16, 1], 1]], 'hecke_orbit_code': 4503874538832081, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 2, 'label': '209.2.e.b', 'level': 209, 'portrait': 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BKfxa5kOPbwtUBYw/ppw7qphKVuQHcoGMUeywPBpinDYsdw8oKi5vlsmoWt60M2zo3YMDdm09yYrRst2zcprt7mUVdNjp1s87WnfB45GPPEiYhE9fjWl3V4+0ssdTXHwRPTHDurOXMx4XwK7sMLlpuvnec/vGeZbeumOHtxmgvLNRY7HksdyUovodtP6I0EB48tcPh05+rHj8y//MjpCzuPnbn4+Re/7p3hvbd/7JsNia/r9jeawReXOoSxRUl+/quPHX3JT/3KX8i3v+jwS/7l20/rhZUNLHXbLHbqLK74LHY0ix3BUidhqROxuJJwfgWOLArWr1vhP33PIi/c0+DUhVnOXmxydkFzYdFyfiHm9HzCxV7M9OyIl17f50V7wZd1AhVwYanGuQXN+SXBYAxxbKj5hmYtYWYqxgAnzsd0+7Bjo0ezPsZaAcKnPzRs3zRmcUWDdVJkpQ/jGCyWpU7Ilg0evaFCKIswY9o1j+2XjVgZCE6c1SRGM9eWtGqCwIM4FgzGkvNLknOLlgvLMUEwAi/mxdf0ecm1gvXtOovLbU5dCDi7ABcWYi4sxZxZgiOLlhdcs8DPfs8ym6bbnDw/y/nFOvPLPgsdydJKwnI3YqmbsNQzLPYkp7qwstzj/f9yHH/7a1tfra//AeM3935VYH/SCoUf/M3Njv6NZfAPffjPeemtz+df/at//XN/9PEv//8+8JEvXrHv5MrOQ2f78qXX97h8syFJNNaolLklWAlIQCCERQuLL+HsYp0HDkuu373E3m0jGjXwtMT3FL6vadYlDU8y6HscOF7jC4/4nLg4phtHHDg1ZuPcEm956TLXX9HjBXs7HF+IWRgIGsGIo2ctnW6T6y6XrIwS9h1XtBqap0/AlZstozBhlPhoHTHTgv2nApRO8GSM9mA4lrxw74DhQHL9FQndYcKJsy12bVI0GyErY8uG6QHL/S5/+mV47FjCE8dG7Ni8yA1XdZmZDXnzi3t82yssuze1SKJpjp2Z4shpj1PnDacvRpy+mHDkouDkSsTz9szzn76nx8bpaU6dn+XCYoP5FZ/FjmS5k9DpRaz0E1Z6luWB4MJAsdyNuXnvAu9967ysabNz4eKJXeNxdEvQ3lWv1We/+Oj9n+Q3P/An32zIrHn7G8ngH/2zT3DzjTvU7Xc+89NHjp//9w8/eUJdWA5ZGmvODQzX77jA+39knht3N7iwOMNip8FSp8ZSx2Opq1nuwXInYbkbs9SLWejAqWWBro+49dolvv0VIbs2NFnpt7m4VGd+yWehI1jqOImw3DN0h4bu2DIYxcy1I7ZvNIAg8CynL3oIGbBjg2LXZsvmDQMuLI95/FCL519padSXeerwLK1mSBh6zM0YhiO4evuIj3x5mqu2xYzHlnVTkigZ0qoFPH18RN1rcuOemCeOhlxY9NkyF7DrMti+KUSpiNML4HsWISw7NsbMtCS9YUB/4NEdeCx1FUsrsNgxLHUSFjoJ5zuwOErYvqXPt79ygVv3ampem3MLbRaWayysaJa6guWOYaUXsdxz4F7sw/m+4sJKzAuvOs/7fmSRK7c0Wey06PRrDMZtZHBFomuX/dzS+MqfbenTyStf8/e/2dBZdfsbBfCDBw9Sq9XqZ8+e3v7YE8+8++ixM//5mYOnGIWS3hg6Q8nFgeRsL+YFl5/nl35kiRsur3NxeZrFlSbL3RpLXY/lrma5C52eYaUXs9yLWepaLnQEZ/sWRJ+3v6zDm19ouPyyGmHYYLlTY6Xv0+kplvuC3kAwGlvC2JIkoKQl8KAeWKbblg2zEdobceRcyJOHA0zc5I23hGhvhYf3TbHzMvjcAzEvuy7gYmdITSviJGJ2BuLIQ3sxi4sNXnpTl8/d12LXZfDQoTEeDd7wQkMshjx5JOHY6Rpa+myc0cw0BfVA4PsCJSA2EEaWUQi9gWWlb+gNDCsDw2LfMkwSdmwd8OYXdXj7S0IwLRZXpri4VHd6u6tZ7sBKL6HTj1npJaz0LUt9ONdTzHcTXrDnAu/7kYtcs6POwvI0K/06nX5Ar++x0pWo+laCxsaf2rJt759t3bb15Hg0Gl555Z5vNpTy298YgB87epj169f7hw4f/r7Dhw/9xiOPPi4WF3tyMDb0h4be0NIbCVaGgotDyblexAuvuMgv/uAiN11RY2ElA3nASs9nuadZ6Qk6PUunn7DSi+n0Dct9y8We4FzHMDM94HUv6PHivTE7NiradY9ur0bgSUARxhJjBMbCYAQIw0xrxKEzFmND7nioyXhQ54otPrdePyAyK9z9yDQ3Xulx6HyfznKbF10/4IsPB2yctew7Yfknb+uy73jAxlnJFx5R3Hq1YmnQ5eipWW7cE3L3k0PicYMXX+Oze9uIYdzn9ocVJIIjpzXthkYLGAwlxgoSY4liQBq0b+j0Lc1WxLbLxrzk6gGve37MXLPGhaUpFlfqLHfdsVnuCjp96PRiOv2YTj+hM7AsDSTne4KFXswtV83zcz84zw27asyvTLHSa9DtB/QGHt2BpjfUdHoQmZq58qrr7eWX737v5buu+L2Fxflwz56/GSD/GwHwKIpkGA7f8tDXbrui04vf98ADD3thDGEIg1HMYJjQHxn6Y0tvKOikID/biXnx1Rf5+R+c5/m7fVa6U8wvuyV0peez0td0eorOAHp9S3cQ0+0n9IeGzsAy3xfM9yFKxtxw5ZBNswn9geVNLxqzc5MhTiRaWsII7nq8xsmLNS6biXnqSA1Mg71bFTddZQhqAx4+NGB+ocm1O5u0p5e57wmPm6+ssThYYXm5zaZNlgf2Kb7r1X0e3KfZusFjod9heWmWm64ecN9TCbP1aa69os/FTocHnpmmrpu84CrLnu0jkH0ePybYMBtxYT7i7sc9RpFCSkiMZedlIa97UUivr9g8Y7jpSgjDBkudBkudgJW+R3eg6PQl3T50B6lTMkjoDgwrA8vSUHKmK+gMx9y6Z56f/YFlXnCluzg6vTrdgQN3b6jpDRW9gaQ/EvQHCaNxwo03vSCKjfq373zHWw43G/VPe55nvtnY+qZnMsNxnyQafM/Z4w+/f+H8wdlz55eZakqGoUAKi7XKpeMFIJwFKIRFSouUmgcPbuQnP6h5261LfMerl9i1JeT8YpvAr1MPfBqBR7Ou6dUlraHHVFMzGCX0hwkbx4bh2NIbBSzN1zh9yhLGhjPnY4LAAgJfWbQUDIYKgUc80Dxvp2D3Zsv2LQPGSY/bHlTsPzzD658fcNPVy3z4NosvGuzcMuCJ+xRbphXr2gNqqk4YeVzsQbOm2bpR8Nj+kJv21HnFjQv8/meG+F6L195i8YIBX3og5HP3N3nmWJ3LNzfYeVnC+pmQXesirtuZoJRBKwtYGkHA+umAMPLoDXyeOuTRH2kGQ0V/JOkPoT+y9Afuu/eGCf2hpTu0rAxhfqC4sGxpTHX4sTfO8/dvHXPD5U3OLbTp9Gv0cnAr+iPFYCgZjgXDsSOAcWS5654HvWZr9v3r1m9cetXLbvmXvd7g91utxv+9AI/DPgh+4MLJe3/+xME7Z6Nhn0YtACFxNRACUCBAiAQhQArXSaOkRckEX0qeOLSeRw82OXT2Im97SZ+XXDNiutVmqdOg2a3RHvr0Bzo9OZLhSDMYa0Zjyyg0hJEliixx4u5h7GMNSCXwtKDmC6ZbgpkWbFpn2LpxwLqZDp9/GL7yqIc0U7z++R7P29vj3mciwlGbW58n6AyHXFxs8uI9hnXTA+o6YBQr5rsRygiet0fTaI155ECNl980xYtu6PHIAQV2iudf4/P937rEFx8L+cKDTfadrLF9vWLTbJ2ZVoOpFtQD8LRFSTAW9h0TJIkgigVhDOMI9x3HCcOxYTQ2DEYGJ/ugO4b5vuRiD8ZmxGtuXOItL+nwD15riOM25xeadPs1ekOf/tCjP1T0horBSDAYOXCPRobhOMl/97n5s5z6k8/Pdvrmv77j771cd3qDD059E0H+TQN4NF5EkHz/wpk7f/7iyS9skHZIqxkgVQIptIWQCARCKIQQSEkKblDKopXFU4a6J1gY1Pnol7fypUe7vOy6Fd7zmhWu29VnbrrB4kqD3jBgMPRSYCt3DwXjSBLFgjh2S72r3XJBpdZQ86FRN8y2IrZsGBDT59CZiD+9u8bRU02mgzo3X6N58fVdHjjY4Y6vtbnlyhrbLxvwkS8LlAhotyJW+mOMBSVgfXtAt+dj4jpvedlFPvq5Brsv1HjzLQPCaJG7n5wjSmq88JoNvPnmLldu6/ClRwY8carB48d8ts5KZtuCRiDwPXcRSgFCWIwFYyxRnF6skWUcuQt5FMIwhN5IsDwWLPVA6BE3XrXCe163wsuuSZhr11nuNuj06vQGAf2R54rVUnIYjCXDEQyyC2eUuN89dsFubBQLFzr83ke/sGEU2Z9/5997qT17YflDmzfO/N0H+MKKRWkED7bsxZOf+15huu/rLT2+DtOhFtQwxFgL1oIQ2V0ghUAKiZIaKROUEunybPCUJdCWuhYsjxSLnRk+dleT+5/qc+sNK7zntSvcuLvDXFInjgMGoxr9ocdwrAkjRRRL4kSSGIGxwmVBhSXwDY1aTOCH+N6YM4tjPvOQ5PBpn2OnZ1AmYPdlPlfvUjx/bxcVzPPkkRZbphtcezlsWr/MUrfNdVsksbF8/sGA8UAy3Yx5wwtHfPruiJPnW1x1hce5lRFPH/XYtnGGG3bNc+8TPe57WjAOffbummXvtoC9W3scObfE4TPw4P4Gh442aWhBoCXNwFLzQEpHDNa6izVOIIwhTAT9saA7EnQjCE2MsSNecGWX97yuy8uuS7hsNmA0mmKxU6PXD+iPfAZD7eTISDk5MpIMx65vdDROGIXFyjAKLcPQgTyxilMXOnzwo3duOHj84vs2zDbi9/3abR8ecYif/rF/8ncX4EkyAlF7WWfH3R9KFn9ztqHm1ykU9cBHiAgL4KRvytYgpURKUlArlBJoZdAqwdMCXxt8zxJ4loafMF0T9MYey90ZPv6VNl9+fMTGmQHvfmWHvdtGjIZ9rt1l2bZJMY48kqRI8wssUho8nXDiguXYecHK0PCpexucWZjBhh4zNcXmOc2OTZrLt8C1u7sYucAHPt1kaWmKW/Zqrt3d4UuPC0TssWFG0mzEDCIfmSajlPbpjAQXlgTX2AavfH6Prz5SZ/M6n1uuneUffesCv/e5Hg8eaNIfeSyutNi1uc5Vlw144Z4e73h5j7NLS3zq3oDFQcCJcx5nzvh4SiClW/WMtSQGImNJYsPMXMT11wwYjyP2bhvzzleO2TClmG0FRFGNc/M1BkOfwditcsMc2JnWFozGpGydpKBOGIWWcWhTgMMgEgxCQWg1h851eeZj9697xQtmfuV1L52LPn5H9Mcf+uP38/3/4F/+3QP4P/25P2bjXE38/p/95q7lhf17dsw9w5tu8el0m455hEO2AIR0WtsFkwopJUrKFNwSrQRaCzyd4GuB7xlqnqUeWRqhZaqWMFMXDEJJL2xy7HSTX/zjWTAxIo55/vUDdm0KiWMw1mCtS+JIIZBKoD2fAyd99h2u0axpWr5kXUOwfk6yYVazeb1ix2UJV+1YIRGL/Oon2pw4Oc0tezz27kwYxj2+9mTAdN1jbsoy3Qpp1J0UMkbSGSmW+pbFTkKnX+el167w0L4B+08qpts1XnjNND/4lkV+/ZPwyOEm/aFlpae5sNRm07oGG2ZG7Jgb8a/fNaDd6PDEMThwSuJ5FqUsQhjHFOlqGMewc1PCrdfFJJFHFAdY22AUepxf8BmO3Yo2ClUu34ahYDQWjELH2g7ECeOxYRwaRqFJpU92d+AeRoJeJOhEgm5kibsj7OCR6fW1y37nl37wivi1r/2uj33bywM7s/29f3cA/lP/9aNcuXlOvfen/+DtH/rLxQ989ZGzvOZ5bS6/rMNV2x0bS1lDCIuSPlJalNRpIGlRSqV6W+Jppzl9TzH2JOPQEIQJ48hSjwzjyBCGlnYM48gwjiGMBaNIMk4CoqTG/sNNHt8PibU4aDtt7Enwlav5aAVw7WXQrsNUUzLTUsxNazbMwvZNYy5bv0Jkl/jVT0xx5OgUN12uuHyrZPfWZe58OubC4hTP3yWZaRtq/pBABlgliBOJsJY4CVnu17iw6HHT3jrP29Pj3kdqbJwRNGotbtpj+LG3L/IrnzQ8fabFSt+w0lPML2vWTTeZadeZaU/RbkSsb0bsuCkk8GI8HaNUghQumLC4iyqKFBfnNVGsiGJFGCnGUfoYSsaRZBxKRqFkHAoXoIaCcWgZh+64jsOEMLQ5sMeR0/WjSDCMYBA6cK9Ekn6YYEYDnrd7mX/y7hVedNV8IxL1D184/HETy92fOHvoQ8nmK7//bz/A/91//Sj1RqAePXLuncdOnPv9R548U4vEem57IMDTgp/9oRWu3tpDyQQpDUoaB3BlcoB7yuIphactXijxPeFOgicY+4owckCPIksYJ84ViUv3BOLEkiSGxOD0tiEHtxCgJGgJngeBFtQCQSOQNBuKqYZkZkqwYTZmx6YBreYKn/hqyN1PzrKy0Ob67Yodl3lcuW1EIlb4/IMNmp5m/Yyi1Rjx5BF45qjmum2WwVhxw5UR1++2nD+XML/sMxw1eOPNPe55YsihM4pmXRL4ba673PCz37vIXU8P+fRd61jsWnZsSFjuaKbbiqmmR6vh0axbaoEh8A2BTtDKSS2ZtlZai0tYGUFsJHEiiGNBFEvCWBBFknHknJcwEoSRJQxhHCWEkSEsEcc4yu6pS5OBOxJ0Q8lKDMNxhIwG3LRziZ/5oSXeeLOh25+m2z1ZU3HzD/26+ofKn/nzc4c/lFx2xV8vyP/aAa4xsrPc+Y7DR8/85qNPnazVfU0oYUybv7pPEo4V73xVl3e9ps9MO6anGihp0Mp3QaRO8LXG8zRBqBh5Kdt4ktAXhJFwJydSRDGEkXQOQlzYfnFiSBLnLiQ2dUpStyRzZ5R0ssfXgsCX1AJJsy5oNyzTLcPG2THrZ3rEdoWP3SP5vc/NsaFW4/rtgu2XeezcbNhx2TKf+JplaanG3k2KmTa0GhEXjksuLgf4u2AcCdZPSaan4dAxy3LXcH6hxpU7a7z6+T0+85Uacy0IfB8lp7lut+CH3nwRT17kr+6d4ZkzNTZ2IzZMx0w1Fa26olGX1ANN4EPggdbOYZLCxTE5yHEXdmIgSQRxQgp0iBJLGEMUJY4UIkOYPUbGed1x5so4cA9jwSgS9CNBNxb0Qks4DpkKunz7Gxd51yv7vPYm6PabDEc1LB7D7uFaHMvf8RtaC+n9CY5n/nYC/P2//Zckifneex449kuHDp1st2uK0Fgsgi6akWjx+QcVX3u6xrnlRf7JO4bMtmNGfp3uoIZWPp723D1MCD2NHynGkST0XCrdMY5wTJSyUhxDlECSOCfBGBdwGWOzHs4U3A7gTtsLPO0AUgugUTO06jHTrZj100PWzazw1f0hf3hHnQPHptk55bF7E2zd5LN1I1y1vcsg7vLAvjZ15bF+RjHdgunWmJmpGN/XCOEuruHYZ6kbsTKwdPoxF5d9tm9q8aK9F7njwQEHzrRpBBGe8hFiit1bFN/92gVecNVF/vCOFg88Nc1iX7OhHTPdiGnUJPWaIvAEgSfxPBerKEVqHzqUW1wPqzHkQI8Tk65uqbUYG+LEgTuOIIxtcY+cKzNKgT2IBL1Y0IthNIox0ZC5Ro/3ftsS/+o7+zQCn06vwWgcEEY+Uewk0mDpRLsRy19tz13nnzn0sd/bcuW7/vYBfGm5g1LyB37ltz/x86dOnp5rBK5uQiXuoCsh6ArNUDZYGWt+6c889h1Z5i0v7/PKG3tsXBfS69YZjgN8LybwPcahJoicvRf6DuBRJAljt+xGceppJ6TWHylzS4ylAHfJqVEStHIJE9+z1HxDvRbTqsXMtMdctq7Lhc6A3/iUx+cfmmVpuckV6wXbNwi2bPDZukGwa/MI7a/w0bs1R0812bNRMtOSTDUTpBxzZt4SaIkUYK0gjDQ7NnR5kITuQLHctVxYqrNna413vLLDn3/J5/iFAE9HCOFhbJMoljx/1zI7vrPL5x8Z8JHPz/Lw8SZbZgTrmgnNWkLNFwSewPdcrKIVLnCWIq/JsLiLzFic05I4wGcgjxMn6RzYIUxcrUuYJY9iwTCGXizpRzCIDMlgzNZ1XV5x0wpvffmAN91s0KLB8kqNceSyq2HkEUWKKFHEsWC8cHZOBle8b+c171SjUeeDtdpfT035XwvAl5Y7+L73jz5z290//+STT21oBobECKLEolOtq4XFk4K+lPRkjU6o+eidNe56osdNe7t852sHvPmWDnPTAcNRwHDsE3geYewRRjoPlOJYESWSOJZEiSCOJUkiSIwotLYR5Kok9dilcMkilSaLfM8Q+An1IKZVH7Nuus8wGvKlJy1/eucUDzw1zYzvcd0Wy2Wzko1zPpvXS7ZuDLl8yzJPHB/yqXvWM6U066cE7aag3YjoDBI+97UaLd8ihAPWcKx5y61jPnu/q4np9A0XlzVbN7R420v6PLC/x75DPs0gRknhQG4ajEKn9b/71R32XHaRj97V5b5npjm5XGdTWzBVszR8Q00bfA+0EihZWK6OyB3UTSrVjClWuDgFuiMIiBJBlKTATgSjWDCIBb0ExqEhDkOa9QFve/0S3/naLjftSdg4qxkOm3R7PmHsE0Ye40gTpefMnSdHRP3jBzag7/v5XVe9zAwHnd+tN77xIP+GAnxlZYWVbh8p+J4vfOkr/+2zt31xrtddoREo4sSiU2ZQGXPGqXMhBX3pMfAUp7s+Z+9vcP+Tff78+h7vfPWQN9w6YnbaJxwHjOOUDeLSQUsUcZImbJIC4MamzG2KmjIhbBpUujoOrQ2+lxD4EfUgpFUfkjDki49I/vjL0zx1bAoRBeycsVw2bVk3rVg/67NpnWTz+ojtm7qcmu/xW59uEo/rbN0qmG5p2k1oNyKEF9IdNpluWYQQWAtRLJkNFLGJ6UU+vUHCcldxZr7ONZe3+OG/t8L7/iTgxHwTraL0wtDEcY1RKNk0F/D8K7pcf3mfp0+c4U/vrHPHw9Oc7dRpBoqWD03P4muLp0BLd8yFqFbXGcAad9ElRpBYiBPh/PNEECYuSTRMBMMEhrEljmNMNGauNuSNr1nh3a/p8bLrIqbqmjBustwJGIc+UaQJY3ePIu3YO5Z5Yi2KJaNOl07vrg3jSP233XteGC/Mn/2DWq1Js/WNA/o3FODD4ZCZqeZbv/bAw79+++1fag8HXZo1TZRYokQgM3AnFhWnTJ44Jg+UoJ4IBipgEHtcHNf4q/ub3P3UgBd+oc8//bYeV2/vsmFa0W5owsgnjD3iuAB5kgHcSIyVaVZU5Ol3x9wmTfMbtI4J/BhPhXSHEfPdiF/+RI1jF2d4ZN801vjM1QUb1lnWTQnm2oq5aY+Nc5JNczFb1g+Ym17m848aHn5mmuu3CmZaklZD0m4YmvUQ4Y0JAo1W7u9bC0kiGY41w1FEbAS9oaHXtyx1Pc4vtnnxVX1edM0KH/1CjfqSQsvIAdJq4sQnjFyP57rpGi/Y3ecFV/R58BVnOTEv+cM7prm40uD0YoCvJE1P4GcyTLrAMyfyTKrgmDy2gthAZATjBEYxhMZCEkMcIdWYzTNDrt/hzsfNVye065o4btLpBYwjnzjW6QqbZYp1DuwoZ2+Zy8nxoMfDD945lxj961dcdePyaDT81DcSk98wgB8/dphNmzapP//zj13xzL4D7eGwS6OmiWKLjMlZO0pAxalUia1L2kiLn1hqiaChBEMlGOiAYeKxGNa54+EpvvrMkGYw5h++qcPWuZidm4e8+NoeWrgWMSGcXHFZSVcrbW2JubEIaVHCeeaWGGTM08ckD+3XfOaBFk+fbBHGDVpasb5umW1aZhrW+eBtzeyUZm5asGk2ZvP6IZetX+bup8Z84DMbuGxas74N7aai3RS0GjH1YMxXDypGocZrOlBZKwhjSU0rbtwz5P4np13h0zBhpeuxsBJwYWGGH37zBU4vLHL/Y+vxJCAiDKQA8hiHkv5QM9OqMd1u8qI9A15x/YDvfNU8+08ZPvtAjQf21zl4tEksNOOxYhApVFrIVg0805yANcTGYo3BEwlTfkiNiBfd1GfXZSO2rot4zxvG1H1Js+4Rhg06PY8oXVEd4ajca3f3KmtnRkAUZ0VhgmG3y1e/+tX28ZMXrvj7b/s2dejQ4eTKK6/4mwPw/fv30WjN+I89+vD3WRP/Uq+7TKPmEcUuqyYEaXmrQElLLJ01paRFp7o8TgR+YgkSS00JGolgbGCUeAwTj0FSo9dL+G8fncHGERvXj7hm+4i5qZh3vnrI9g0hUSRSvS2hxNyk+lNKg5CCj99V54kjTYTWnDjb4MyFBrW6YioQTDct7ZqhXYNWXTDVULRbipmWZm4a1k3HbJwbsWVDl8Su8PF72gz7Ta7camk3FK2GpFU3tGoxnhfy+ftrjAcSb4PrFs0kSrOueOMLh3zlUUN/LOkPE7oDzUpPc36xwdW7WrzzZV0eebrBiaUWShogSvWyR5Q4N2kUSvojTafv06o3aNbHXL11xC1XjTh1scPxcytoL+Hxo5o/v7OBUK5wjcn5g9YABqwlChN2bIx596uHrGsnXLXDsnEOkthjHLaIY4/lrkccKaJEp3GQSjV2GhNFWWwkcuaOY5HGSe4xilLnK9F0Ly4yt2H7Lz388MODXbt2/t7+/fvCvXuv/psB8NOnT7OwML/nzJkzv/HQQw9JkHhaQqp3pbBFVlJmbG6JjSCJLZ5xPqyXFECvGSdrImMJE8HYSMaJJDQekYH5fps7nzBYEv7yATeyAWvSe5bFSy0ykVUkSqRSxJFGGo2nJa0Adq23ND1DIzA0AmgEgmZd0qo7OTTVksy0YW4qZv3MmM3reyQs88t/UePeJzewew5mGil7NyStekyjHtJsDKnXGwRKomSqwXFyIIo8RkPBcJzQGyv6I0NvaFzLXNPn9IUpXnrNmB971wXe/+eakysBQhisjTCJJYo9wkgyGrsy1tZQ06z5NOo1GkGDWhDRqoc8/8oQ34u4+cqY97xmgFZxmgQyrjyiLMpTSWeMRAhJ4CnAZzTWLC5rV7eTZDFPKgsz8CYugMxioSjOEkqpw5UCu/zc+e8it3IffeQhqZT6jfF4dM9oNHrqG4HN/2OAf/KTnwRE/dChQ28/evSwkDKNZpAgDBLparilcyxU7B51Gqknyj3qNHrPquASI4iNLSJ74/ShuwtCI4mtJDGayAQkqe1VvuVZSgFaCJepVFCrW2raUlMJgQeBhppvqQeCui9p1CWNmnYAbwqmW4bZdszc9JgNs302b1jkA58xfOSOjWybVqxrGdpNRauhaDagUU9o1SPOLRqOnAuo+e6ChqzSTzAKNbs2GTatG9Ed+QxHNmVxyUpP06rXaDWmec9rLnL03Hl+51Nb0FJjMSQmITaWKNaMQ8UwdEVRg5qkMdLUA496kNDpuRjD9xI8neB5CVq6Rgkpk7zeR4i0bsUdsRTkgo5JqyyNi2uSRGKMJDZFvBMnIg/u40SQJKmblRQZ0zgR7vzlFm76XkKeszDWyaann35SxNHo7bt27Txy2+c+NXzTm9/6zQV4q+X7ve7iTywuXPyJOBxLz5NpuatIS11NKk8siUlruRNBomwOaq2cX51kyQfjPNnstbvbIs2eVso5L1fkgVJZc0NajShcYKWlcbpfOWfBUwJPW+cba0EtkNR8ST1Q1GuKVl3SalimmgnTrZjZ9ph1MwO2b1zkgYNjPnrXZmZqARtbhnZDOHDXJc2aoVmLaTXGPHAAHt/f4Ir1Nj0eRdp8OFbcfJXlyu1DHnxqmsHYMhwl9Ic6BblHo1anXpvm21++xOMHL3L/vk1gFcYkjghiSxzZvJ5kONY0RpZ6TVHzDYHvEfgJgTZoneBpV2KclUFI6UqDERZBoeeK4NyVEJvMkTKZ/VqyYlPXKjYidWAkSezIKMmBnP4sceSUpOSW3bMss7GSQX8kz547/9Pab/j1euPngPCbBvDxeCDHo9HPfPpTH/2Xvc4Fv15TeRJBGpdkUFIS5wB3wFZpUiEDuQOvSwQlSVYrUgDc2CzzZjFpJi77O9ZaSpn3yoqbpaplLovSjKWiVLTlsn+Br6gFinogaNQFrbql3UiYasZMt8bMTQ3ZvH6Z+w8M+Znf38jJ09Ncvs4w3YB2XdGsK5o1aNYS6rUI3xvRGVmUVHjKxR/ZLTEiXcZ92vWIQWwYpHXWg1FCbyDp1BWNXkAtaLFzU8TPfl+H//hhydf2bcSiMNaQJIY4iQljQxgpRqFiGEjqY0XNlwS+JfAVgTZ4nvP7tUrrfFS6qqYyRQhbbdBNU/s2JRGb1rIkKeCT9LUxzhWKjchLABzgU+sxA3bK2FnyzV0A2fm2KcDd+Txy9LSPqP/b7/nuf+D1+4OfajYb/9vp/P9tgPf7PaIo/rmnH7/3n/eWT9baTZmybvqlLRjprlglBbHKWNlipAN3YrJMWgHyIq1O8XsMWGNdF3laAlq+MwHwolkiBbdw4FbKrRY6bUXztCTw3QCgWuBGMtQDS7NmaDUS2o2IqVbIbHvI5vUr3L9/wH/8vXUcODnLjlnnsLTqkmZDOvauWxq1hEYtIkpC/ugLLaRSeNKiRGETGpst4R7f/fplbn84pBcGDFKA94eKXl/RCTQ1PyDw2ly1LeY/f/8i/+H3BPc9tRFjJYlxafUodoVm49Awrrly1yAQ1DxB4LvMpq9tnrHVyiCVi4ecfCwBvEh5AimJ4HIJzm1JA/m8aM2dE5Mn11KQ5yuvyFfnAuC2eEwycKfYSP/dvgNHa3d88e5/8S1veo3odrs/2W63/98F+Pz5o1hrXnT86KN1wZiar0pfIAW5BJU/ChIpSGwJ1InFqEx+FF80y65l7VfGpCxis6ucrNwZO/G5MoBnNRhZJi9jb62zuhOJ50lXv+ELaoGbedIIEpp1B+52M2S6PWT9dIcH9g/4md+d5ekT69g6I5hrlqRJTdOsufqVei2mHoR43pgzizN4SqCkyXtMsyAzSSRxrLhsxhLHEd2olnbKGIajhN5IUh8oar6H79Xw9BR7t8b85380z7/7ENz/zAYSIx3AE0sUJymTG8aBoRZKRr7KJZjngaedRHN1Ks69kpk3nj6ugXEnV0iTQog8OZSDO80WJ0np/bK8LAHbmOJ8l8nNlF67eS9j7vnqQ/XLd+18kZTyOfH4DQX4/ic/h1bDxhMPfcG38TKB7z68kukXkZbEplduIkjSptjidcrUmsoVXAA7kyHlpSuVI9nzS3w2KUqtbpLUmhRp2lqmjRKZPIGaB4FvqNcs9cDp50Y9ot0ImW4OWTfT4eFDI/7DB2d48sR6Nk8r1jcNU3VBqyZp1BSNuqBecxeHS/WH3L9P0B/51BTpReY0eNaEkBhBFGuaNcWLr+3xwNNtBpGTKcNxwmCo6AWKwFf4np/q52mu3mb4hR+8yI//Nty3bwORkUTGpM3SRQ/m2JcEvnHs7RV19Fpld1KZUsg4mbpea4E8SwrZDOAp4JPceSkKuEyeHQVTkiAVYFuK9xJbKhmwebnA+YsrfPiPP+W/421vbnzkzz47+K53f8tfP8CX5k8wNbN1+pnHPv5bgsHLPR0hhSJRBpXpLOW+WCwFRtli2ZI4xs6XNDBKrM3aJUCbHNhFUzCp9s5Phii6gfI+zhTcDuCu7c3Tjsl8D9cJ5KcFVkFCPZUXrfqYqdaQmVaXxw6P+Q8fnOHx4xvYNK1Z3zBM1aFZEzTrikZd0cjZO6EWxLQaI+5+3GelU2NmpkiTZ4AxqTaNEsWGOcVrntfn7oeM66IJTQnkkponqXkaT/toXUdKw9XbLD//gxf58d+23HdgA5HRRGkFoCt7dUweRDKvLvS1ROu0CEsKlM6ODfnnyy7CTKqIrCqNIiE0eTelR1OKl4qVt8TO2XNT0t0GEmPSVa3sokEYxax0hi/ff/DYh370H73zR245eHxlz56df70AHw9OsTi+8OPDzpHvMNFFap5PpAxJLNKgMtViyqXk86InVWhr97rQ2W5CUyZDyNm7EkhOMneK9Cwjl2tvmVXQFbo7qxjUClefoS2e5xqLa76h5ifUazGNWkSzNqbVGDE71eGRg2N+4rfX8djRjWyY9tjQSJhq2BTcKXvXJPXAsX8tiGkEIbEZ0wsDhJJ4GYPnGlyk7JYWiEUeTX/kygXCGjMZyEcJA98xeOBLPK3xdLYBreW6nZb3/cgF/s1vGu7bv5HIaMaJIExMyuKCWmQIPIvvud5VncYdWrkSYdcG6I6TkymitAK6o5pfmOVYZwLcOQmViKkM7gLIKcgTCifMFNo7A37mrMRGcuLMIs2njn3HF+959EgYRv/ur5XBR4NjBPXtO449+WvXE5+gXoMoNsjYEguJVGmgmRU7SVEKHovgsxxEZqPRbPp+ccBEiSmKrKQtr5kZa5eDymy5TasWVRpMaZ12BqVFSFn1YM1LUt0cUa+NmWkPmGr2uH9fzE9+YB2PHt3I+inN+nrCVM3SSsFdrzk7MQN3PUio+THtZsi+45a7HmniS4mnTBrEFR5FtnxHiSI2mlc+P+KKy/scOVlnfYOiz3GcMBilLKwVWnt5wkwIy7U74Bd+aIF/99uGe55ezyiqu2RYbGmkNdyBhwO5zlYvk0oUiVRJvsIpKUoAFyWQs0qvFCC3VYDbQlZm7621MpsSoPPn1lat4sRp8QTFU4fO4X3+oevf/7M/tOPpg6dPXLtn6zce4L3OGRAzOxfO3vs/4vHSW4Xt4ekagsRlCKVFJpZEShKZLUGZpWTz6NuYiaUsZ+zMjkqX8UmXZJVbkjL3JLiFRaoiW6pkOj8lZW5fGzzPEHiGwI+p+TG1IKRRGzM7NWC5N+ArT8Ev/PEmnji8jnUpuKfrllZd0KyJ3Ct3zotx7O07gNeDMWGSMBrWqCl3kUlRWvrJNKtIA03ttLweMw4tw0iUAG7w/QTf03ieRCuFkl4OcATcsEvwCz+yzH/7k5j79s9xttNm1JRMJ5ZWbKmlEwcCz6bef+ak2Jy9M6mSATz/vOmHLuM8V4jpSSlW1lL5bRnsNqtYtDmBFfKFCfYu5ztSn9wIuv0h5y+svPXTt92XvOGVz/sXx46fPb5r5+ZvLMCHneNIfeGWlfln3r6yeBAhA7QyKYOmDC7TJUelDJ6IVH6IAvB5f2C2XNv0AIjiwLA2uCdVYXYS3LiHjL1tKk9saTiQK4v1tEnHTCQ5uAM/Bfdsn/nlIT//Rw0+9bX1LPRnWD8lWV9LwV1zuruRBpb1QNIIbMrgTnvXghAI+fJjPsuRz1xApR4bUV2hksQ1P7QDzatvGnD/gZBeFDAVmbSL3eCPXa26rx3AtbIo6SGkS9BgYe82yfv/aZfP3j/k5353I6cXZhhOa6Z9QSs2NGIIIjd62VduoJGXBZpS5EFw9lgO1MsXphB5r0jB4vm5KoG95HaZktQsGLxYsSdBnncamdQ7N6CV4tEnD7Fn14a3z802/6jbGx7/hjJ4HPZRXuPKxbN3/rPhyqNopdzB1Uma6pX5EMg825UIF0AaWdhIVhRgzkGdSZCy5hZV1i7LkvRAZ8xSjJcoal5kNvlKOmC73s60v9NL8L2Ymh8R+BGt+hCtB9z9eMKHPtfmM/duIDRtNrQF62pOljgLMPPJVXoXKXOX2TtC6zFffWaaQai5rJF9nkkGz6w0SRQrap7iRVcPiY0D+DASjDI3JHSDdTydWZwqBaLLPjqwCdZNC77jVX1awVl+93NDvvLMHOejOoOapB1bmto6kOs0DlE2jUtsCvLsGIqidlyCpGDx8o6C5VOSs/nEyls+pwWTFyxfXsWTCsCz2nTy2EwqzRfufZqbnnfVP3v333vJo53u4NBU+7lHwj0nwM+ePYMY/CFGzW724oOv8OU5pNcksU6a5PMCjUVax9rKChKVSRJbOqFZnUMpoMy0NoXWLoBdsh7K9pWwE9Iky8qRduaTT77KmNtTrhYj8CJ8P6LmhTQaI3x/wB/fofnFP9jAkflZvKDGppZgNkhoB5ZmAM20w74euGxnLU0IufqVJF0JnDxZ6Cb0Qx9fKXxp8wCT0lfJLuwkrdkIY4+6N2LT9JCVQYthJPLRDL5n8LwktflUancqB/BK4OoqH9/6sj43XzPPL/zhiI98fj1LcZNB4NH0JG3tanACDb4ib4bQWdInXflkLlWKBFCZVKpiZS02Zw2wlxi87L6ULcUU2Ekeq5X8dBQHz3T55F1PvOLsSm/z2YudQ6dPnWLrtm3/ZwC3NuHC+D074/7DH4gW/gqtJBaDMAIjXERvhEBZ4xoNZMbaaR2DNflzm7+Xam1bBJiWMrhLpa6lm8AWbJJm32QZ4NLmYycK5k5SkMf42kmSwB8TeEOOX4j5nc82+eQ9cxy9MEO74TFbg5kgoRXYNPWegVum4JZ5UqiWau/AdxdOuznmE1/VHDpRp5ZO4MrbxShQno9xsGlxUqzZuwO+9eYeH7ptjn5D044so8gShGncoAxay3TCFyWQe6WT5VaF7eskP/ldA67fdZrf/swsR89PsRTXGXiaphI0UqD70roLJ3WZ8tUvO66ZfYjT50Wms5rWLzm3OZPnqzFlWTbB5OVaoixrXQK2sSWgW5BK8chj+/muN1z3gR9+2y1vurjYeU6p8qwAH40TAl9y8uijWxfPH9wdrsDMlO/KLTPmkCbtnhGpn5kCPAV0kj5mYM4aEYwpFfWwhixJTxgZY2cgFwWwRXqBZcVcSprUNcnYO8HTsevc0TFBMMbXY3pJyG98zOd3P7uJM4vTGFVndkox61umfEMjZe5Gnr6XaZ1KKk1S7zwHt++yl+Mo5NDpgH4YMBOkLk4+X5E80VNO9sSJJIo07aZm19YQFYzohS2GvqAeubFofiqvvFSi6Mz1EOoSwati/dSAH37rgLe/8jy/+9kuv/PxORaGTYa6Rk0rGlpQV5Ygto7NpZMqWhblDVmWcxWTU5Urq89bCdhlsNtCnmYMn9/LLltWEjDB9g1PwnDIw4/t3z3Trm996a0vOG6TCKE8LnV7VoBrewpsa/3cTPKx+aP3ec1GxpCmAkKTllUqKVKwm1ySaFuwd7aU5lKkUrmWc/Ra60jJDrQ5sCvyRKZVcipxANcJWiX4XkTND/G9kM4o5KtPSP74jjYfv2eOUdLC933mfMG0b2j6lkZgafgFuGuBJAgkQSpNXGIodSZSgPuey3weO2f5ysMNwsgjaNpVAWZ2K9LZ7tiFkcLzNK+5ucdHv9jnwOkmw5qb9zL2LH4MXmTwQoNS0vnW0g0kzYf7UKyIiZHERtIINBunh/ybbx9w9fYxH7mjxUP7ppgfNhkpH8/T1LSgLiHIBixl9qq06dBTSiCvFmWt2uW7lKfIzy0TMoWqPKkCWZQAXioFSA+fljC2Hh///BPeLS+65WMnz3eet9Lpzf9vM/gjR7fJhnjolmn7Z1Ob150hMYELLkuMQQpalQ6wdGCWJSlSgLoIKEUF3JTAnt0qhT+uR8cxeZ5SNnm5p9PdFq0SB3CV5HJE64hOP+LepwS/f1ubOx6ZYqnTQtZrtOqKac/S9g0Nz9LwLXWflLUdc9cDSc1X1HxBzSet0DMpuA2B5/S30mMOnoYznZpLrKT6tpo4KepnXB+kSOveJWGo2dgWXLltyJMnYwaRxzid8e2HpNO9ssm6WaIG5ERnTsGGWW22qw9/92uGvOGFy3zp0R4f/nybh/a1Wew16Eifvq/xlcCXgkDiejil26VOlQahKpGW/V4K4Jdg9HI+w5RAXgZ19jpOX8fp8+z9DBSdCE51x/z2xz439TP/+NW33HDt3tt4luFBzwrwi4ungpWO95sP3ne6+R/fs4Ixdbd1HyU2NiLvgcykSgXgpbpi0iU0uzgq0iT/T+lWsags5QJ9J0tMvqIombiB+JmbISPmezF3P6z53L0tPvWVKS52m4haDa/l0dYw5blOnrpHKjug7ov0LtOS01R3+4IgY+8M4DrG92Nqfoi1EV9+JODEuTrrZgVeKuNy222S6fIcgZMUw7HHjo2C19w04JNfC+lHHsNIUPMsfuxYfBzZ0iqlcr8aISsyJdtWMW9UMM5vrwdj3v2qIa+7eZG/vKfHZ+9tcPcTLS52GgyFz9DXaE+hhcCTAk9KPGFTqWVRiJI05JJALzsshkmpInJ5kkmRDNBJCeCOuW2u69ODBiZGmx5vuPb+5t5tL/lNktNXA8P/LYA//szXmF/scce9A/7LD4bIxBDFHrFRWCOxyFRLZyMaZHFw00cXTGYd7rLilmTdI3YNZFcCyhKwhTCpHWgQKcC1TvB1RK0WMRonHDgDx88q/vQLU9z2UJuLy03waui2R0NJWp6lpQ11z1L3oOY5cNc8N5PQlZnK0l2kP7cpyE0Oct9z7WlHzhqePBaA56XLvC2l6EUFBWVdmtdPJ26c83W7xlyztc/+Mw2GNUEjFgSRZaxIrT2TsnfmpmQWZKFVcp89tSKNUen0AY9R6FGvj/neN455y4tXuP3hPn/2xQbHz9bYf6ZBuBIQB5qR1kiVTvUFdPqYMXkuXSiC/7VYPJdOFBIlkyUJpcAyB3RG96a4Y8AmaeVWiLBDXrz3PL2VJ6al/Yf/YKljPjQ7tXbF4SUBHo+Oiijq/7O77vyFdfFSl4cOaG7ZE+HXYmpKYiJFFJW72GUO9AzkZfbOnmegztgmOxAVeGeReq75XFLDSRKT7vKQEARukmqcJJxfhC/cqTlyus5dD9Q5s1znyNkmBAGqoalpRVNbmto4F8Fzg/NrnhvX5kCc3WV6VynASTV3Cm4vIfAce7sLK+TYPOw73sCTVXswlygU9eB50JU5KSbrafS4ZseQKzcMeOpozCD2aEWCsQY/djMBVQngUgqElBUmh3LgVpJBWd9koogSj7Hn066HfPfrx7zs+i5nlrt8+UGfo6cCbn+kwdnFGsnQw0hN5CuElOnWMq4rX5JmPKEiW1b1eJYu6Eya5R45pNPGzGpQ2yR930BoIDIIL0bKmJuvHvPFx3xO3rl/+r3/sPdjvh/+7hrr/7MDXPQ/jW/j77hy06nm6QseP/pf5rh2d8Qrbh5xzc6YzbOGK3ZGBFaQhBKDTO3BMtBlSW+nWtvKCrizo2LTI5L73BXmLkkRleAFCVFiOXpK8ORRxRceaPDUMZ9njtXpjgPGYQCej2p7BErQUNDQhnrJBw50VqeRlc26uvAglSW+r/B9mV4AttDeXuIyi57T+TU/wpqQC0uSsQ3QWuJLiy7ZbBMEnoM8yQN019MYxh4CzfrZEKlG9COPgRbO6YiKgjGtTCUDKfP9jIBs2BGFVMxay7LeSS9R+fiJwdhn00zI9o0Rz798zDAc8g+PdXjquM8X7q/x5LEaR0/WiGIFgcJKBUKSyFI2qJzMn/QPK3UstiQ3SsDGTIA7zfhEBi0Sdu+M2DIbs3dXyCtfMOba3RH7jnn82icvsDj8HJ6+tBBZ8yfv/73b+eVPLKqof5e455Epbr8vYDhSPHHMcPsDTaa8hO1bI67bG/L6m8e8+sYQrMHTUG/adJKUBCOIIwf0IpAsCv8rR8NmQ/Dd/BJPW7ermrREoWUwcox+/LTkT+4IGESKx56pcfhUwELfZ5z4oH1QHqqt8KWgrqChLDWFG2em0sIj5Vjb94RLepTB7Un8VJYEPgQ+qWviUuaeNvhenGZEI+q1kIvLCV+4r0WnFzAzJdDS5CUDeQ/2xC0jrKJeRzIeK9bNKd7w4hG3PzTkZKfJ0JNOpmjwYosXZZ516rHLxNmFlGedyPxvGKtLf8MB3U8UiVbEnhv7EEWes1K9iKYf8bLrYl509Zi3vWLEwVOSx/d5DEPFR77Q4Nh5D4RkMNQkocrKN7E6W3onLKNy+ja3WUz+KGKLMBabArveTPA8g7CGV9805vU3j7j2qogdW2OmPFjXcn9mz2URWlxkof818bqXvkj99x/7RDyz5e1fH8AFgJr9jQ99auqGQ2c2k0igEWNMwvwgYd4Yji0l3PdUwse+ELN+NsYay017Qt792lHea7d+ynDjdSHNWiqlrMhzYGKNv5oN5+kMBI8/oVnsSuo1yQP7PD59T41RpBhFinPnfYzQRNbDCA+0RgQaLSW+EtSkpZYCO1CWQFlXA65Tz1cXzO1nfZk5uFXaoyly9vY9g+9nBVpJzt6+H6FUyJ2PKj75tRbK185uq+jvSzN45oUneTe6YjTyeMutQz711S4f+fIU/bhGM9XhXqbDoywpY/NuISFkDjD3p2QlsCs3DMeJJNaOyT2tiLVGx4kDukpQyg3Sn6nF3HpVzIuvirBizDtfNWAUuXFuf3VPwIP7fOqBYKGrePwpn+5ApipJrHmGiySAkybNmuHG50Wsm05cvXhiePdrR9x4ZYQ1sH7GMDsNCglokkQyGmWyWPG6mwTjpH9DbWbmN6zlh78uBl9c7DA7227/xoc+eVVbJ2qqHtAzgihxESzKzR8xJmZsEi50DBdWXCBw8GSDT9/prkSbWKZmDLfcENKquxLKNdOT5csqdR1W+oqHnvTpdhRSSzcTxWrHTELj5gJrkBopJZ4UDszSEkiDLx0QfAW+Kmb0OZCLouFBu0aArPG4DG7H8GlZrZcxeFK6xwQ6wtqQMws+4bhGMCXx07S3SqvyKllMQaFL89iEnFkTowgjj5mWYtu6EF+MGMYBw1hQ124IZlZDkiW0lCyXt8r8b7m/kcpFY4rsqTFpOXMhjeI4SfMGKt3/KCaKE1TkcgluB46YretMumIYrt4+IrRDpDZ0OoKHntSsDCQqVyzVoLpyptM6lGbN8KIbIqZmDDZ2LltduWPn4jqNiSWhcfNYMiMjSeOVcejRH9dVXZmrLr/mHe0o7Hc9v/nsAO92lhgOOu87dfLYq0zYY9rXEEEfRSRUupQkIL0iGHD0TGwNnWwpUobuiuXcnc3SV1wL4OXUWHpyhMBkWy6Q1pwKVQQ5UqZWVgbqNO0sSTduzXzj0qNOO+kV6dZ75OB2bV0KPwW3r8lLTB2DpyyuDX6aHfW8iCCIOLVg+MPbm6B9PCmKADOXJ2IVg5czfdmQUAc2dyLDyOM9bxjyl3cPeeZCi37i0YjdprSuCrAYoCRUlhMoBXvZscwNCVmpB3J3k9fCaK3wEjcvxUuBrmSRNHN14+lzYdLBQQlaWIRNWNcwfMtLDYgklZmAyNIza5zzvMZIgFEkkSYzH+JIElmBQaafO43n0nmTphSQj0KflU7MwuD0qxpzZ99nTfKjz8ngjz36ebQS/qETZ+iN3QELpKv3HQs3cMcgS3ZOOViwOdixFpQl8Urgzs3uskbL2K2k34TMgxchZd6CpgR4wqWVA+GkgJaUHrOm2lIhkaY0B4V0Z7aiq74AuMxlS+DbvKXN901pcE6Ml7K3ryOkDDlxXjDfrSG0JpBU5Iksf63S6a54wmXgpU5HGHvMtcfs2DRk//kxw0QzSiBIBF5i8eJUh8fkzlKRQleVToXskDv2s0VRUy6NDDoxJEqidLZ9uUqL1RKkMulKYQprNgW5yP42bkqWSKdlZQZB5oQxEXEVuY8iyVeO0crGhC25c24FUnmmFqDZGHNh5Qh/9bnP+W7zrecA+KfvewYlBQ8dH9IdK+qeWzICCRqLLwRRZtDn6ViVqo/qDgpFtPwsNyHcspoF4EIgKVLEbioVeMLiiRS0qQTInufvpWRflIKSN9j6SjiwV8DtRsz5fgb0LPhMwZ11/2iTSxRPO33q+xExEZ/9ap0L83W8KYVfruEoOyhMKNJy6jpvBCmSPqOxm2D75pf0+eoTI7pxjYHW1GNDmKbTlSwKorKCMzcHMvtLhVtVLnQyJp2pYsnr9rURxEqgE5nuYudqeeIU6EUyzeQJNlePVM1NiKyEt2TtrlWgZSfMhQrA85VHVABvyglFI7FGIKWl3RzhB8fpRiNXI/9sAP/gH9/BbLv+0v/6B3fdvLBylrpyH8AZ+656UFsIcpO+mnq1iDxT9Rywzk96Xq0mQGWPwqIht9pUmjJ2800KjasyYEu3n3w2CqEM7HwOisL1I64F8CzgzHS3zmSJTfV2tZbc9yJ8L+R8x/DI4TpoH53KE10qUMqyfWIC4e7Elaru8r5UmXviUeRx0xVj5qaHdJYbDGJFQ4EXu++iEjdASUVlgONAnv8hubrmJ50gZYzAKLcxgWcEiZIkypAoQZyCvFy8lpVDyAzkJVBnJRMCk4KctKS5mJhVSLQSMkpW8dpsPsHqq3IqbveOds3wyufVbzaNt730wvG/f+/Gnd+6NsCjMGKlZ79lQ50bp2Rc8RezliRNaYwDNh+ZNmnoXwrkwhZfNgO2212YNHlQHbmmSiDPGEtntRFpDXhW6umai7NOFSdLVN69UgA7a7517J1qbk2utzNL0DF2AW4vr06MEER85p6Arz7VQgYaXwo3fzuvICzPZynXURenOR+NlrO4CzQToxiOPF587ZBvfVmP3/lMizAJ6CeSWmIZZ7PVK1V/JpVzZuKCuhSTg9GyaFJJwZ0oiVLGMbqU6WiJbMc7UwJ4CdiyWkaRAbucsMthfIn6lXJepJrlLvXmUtQ+ZTdjJMtjgRfXb5wO+t9iTXTvmgx+9NhpZqaab/ijP//idy1cvEgzEFhRlIdNgrdYUshlSVmNTAJclB9LzJYndCjAkKeAM5CXRhtkzO22IMlekzI4eRtWhcXTbhhPVcHtxilMMHfas+mn7W2ezhoO4tI9IiTiz77cJrEBKs9elgPMoq8xczYqGpyJdj0j3SiNJAs2NQKPd796wB99dsyKiRgmNYaJwIvJWVxKi4xFXnTm7MJJLSoLkJSr94wg0bZoM1SGRFuUcXLFjdlzFYwueyzz0uTCoixXdxZDhFYDfJLJy2w+Wf+fsfhqRl99MbhjNlpZRjeH37X58jfc1Vk+c/vUzJYqwIfjGG8YXbG4Mti9sNzD84JqiValFDJ7bSvp2K/nlpPLRApb5qn5aoCWa/EJzVmMYS5meyglCi2eVtxVht2kwNZKFE5Kbge6jnvXmGxT5i4CTF1i78ALeeSw5NDZGlZ5KCnxpUFP1mmUBPiki5Ld8/Y9I0p+tQN5FHvs3hxxzeV9vnawTqR8hrGgJsFLLDoWqXxLu3CyeexIJxcqf1KUWFyUpFGpTSztndXK5DMkVSr9CnBntUA2LRPImJx89SiY3P1luYrJq3i4FHYczlJgiwL0uZQp/TsTd7BJdzdmfAU2vD37WQ7wI6cWaDX7nFkYMo4lnpeWR5auunLFX9X4K9I3pcrG/L3qYa7291WWcqrLusprvgvbrZAswnXPiwLcLsgUebe4zsEtKwAvD/9x3fbkwM6zlTlzJ/jaJXZcV1CEJeLPv9xgcbGOCLTz3csX4WQNysTZLGvvMqtWvGmjiCLNulnJu17T45HDbcZJjYHyqSdOi2flrEqSgjtbK0zqiWfVHwCywoQucLOlC6zc2S5RpjTT3dg8seS2Vbf51GCRfm/H3nIVwIuZh+U68sm1fa21fm28lXV7uaQj8GPq3hLKnKZcXJgD/Cf+x18gpGDQHaC0Lq5KuKRuKgM3d1FKH7O8NJU/esVdKD+WAV1m8cp4sYKxZZnBlSixeCZXJEpXAe7rdACQl20dmGY4tcXLU/EmfZ5U7lq5zp1nTsDH7mgxlj5KqjR7Wb0QJzOYYtURSx8zFi+5KSZl8DjRBInmXa8f8fu3DXjiaJ1IeQykxE9M6h4JZGJLx8m69jJRXlfTBpWJfYvKTJ4Y0LmF6Kb+qrQkQCW2GNaZz2UR+QUdl7qqyjbhJMDz2YdiNWdPDhhahTAr1vh/3N9TEqTSED7MeOEpl1QsA/zo8TPs2rG58Y/+9W/ueuixQxidHrgJIK55htZ+mZ9VWflA5Ueb/+7JlPZqiSJy4EyOQ5Ylxs6CzGxqk9bZJq+p9lYT4M7S917WmGzczJC8RSzr6YzTe4TyQg6d0fRCH5RO5YmdKI+dvHCrCK8ONJrwwlOPt0j8aJqe4KotI544FJKYgKHxqSWuZlunGlwJm24ZI0pdN4biDJj8pBTesktb6HywqXsvG5iqDWkHkWsqzxqSs+laSdbdX+qNzYGdOyvV8z0J8IIEn5NFJ6Dl3AopbNq9r1npKhJ91a7t1/6bRm/l/xm0prc4gB8/cY6FxZXXX3/57I8/9dgQEZRGB5SDg//FzzF5YUzO2BCkOR2q4BYZqDOpIgsmV5WhmhnIKWqkVQnU+fM0yaNIvXAHbgfgYiiQV5YnZfZWaV+nH7LUM/zaX7RYHNYQgefkSWlrlmyVKYP8Urc8aDelJuycwZ2jEseadkPz3nf0+NIjbRbHPqHUDKXET3soi5EPKcjK9fTC5GW0FpOC22CRE86KSBnc5kF6BnYlRcrgThIluYuSAnyid1OW2VsUOLoUwCdEydeHrdLvyuTRcGzxprb/+OKF/ffG8eAvIWXwBx99hnrgc+ToCbSI8P0Aa20VkJPIfQ5gl19UAsvyexNsVwZGefPSSWC7ILOYPyhVMX5MlUCtpUSnkkTnAM80t8mDSk+bHNyezuovquztqQjfD/nTL3s8faQO0kNKSZCVxpaszXyP+PRLXrKakILNi+7yAuSxkekmTx7X7R7w1pd1+f3bahgdMJQ+gRR50kdJQSTKAV2VyUWZyUvdVOWaGKNAWbcquDZE8tmOjtUFxViJYhZNEWS6fImQVYBnjlh5FJxYI+hcS7o8K8ZybDlpHMcRi/OniI2HSdzGEBqgWfOo1XzqgU77CW0lq14h77WkyqWYahW4RXHVlvr7VnnGeWApcjYv22/PDnBZADxP9GQAt25OdipFPFW4JV5pOFChuR17e9pNrVruGP7qzhYLnQBqqXsyscHWWhKFckNAdsxgbdsuswyNxCSZm6KZaSv+3qsGfOqrIxb7AaHSDBOZ2pMiT8blzdiyHOg7YGe1+K6VzOSaPOuV1ZmzotLnMn0t3cTg7LiXQS6kKHzxbNVNkz3Zo0zPdblDC0SJhQsgCVwcORG+rQlu98KmF6wgjgyJ8bEEuVeuH3/yIOvXze788t0P/Nip0+eo+QqpSpbMpZh5AsRl9VL+kBXmpnzysy6Uoq3rWSVKBdjV2d/lDhc33J0quLOdDTLmViXmXsXg2biJYuSEVi5zeey44OCJGoYAIXXenFtUD5bjB1FyNfKzWEmIFUwuSvJE5E5G3m6WaLCavTtCdl82YnF/HZv4jsUTkW6NXrg4RXBXLvTK6oRkKZeRsrktfHIjizkl5dhGGXfRGEmqvdOElizIKAe3Ec72lSL/HNmKJiiIrVjRbSaqVuHlWTGYXiikiSFjPbor59mwee+PXb7n1scWLx48rq1NGIejTdaaNywuLlGvB89ZPrLmJVXKUJbO5ypgF1dxumhWmDs7SAVICmdClILNAtCOwUlHAZd98PI93dJalcFdAnm6X72XloZm7K3S11pHKBXx2a+1OLRQB7+QJ17JulwtuS7FCgW4i+lP5bqL0u5mWRltqLl8XcibXzzgwWcaYDzixGlxL0mzu0lVKhWrpC1OUhp4usBs9bQDI9Pn6aYFRmZ3d+yTdMWQGdBNZgLYnJgqUoXSTJiJVbsIPMUqvGTTG55dDU+qd023u0wc2zeEYbgpSexxnf5dl9r23LJuq//Xc4N78mkJ8PkXgFVLd7Z8Zyn7yQAtA7RYA9g5mytRasItgTudT1hs28FqYOtiQFA+4k2bFOSxkycqot4I+doBxV/e2WQ48qGh0VLgiao0mfz85VhjTYAzob8nLMOyLx7FmqmW5m2vHHHbVwc8cMDHNj2GSYAvyC80lf/9QgdX11gH8mqixBQXmHJsnkinx022aYEpnCsjs/IAUdoZQpQC3ZSkjMjtwWwVE8Lm59sB266SuNnPnhvgq2EaRel2hulAfR1GMeMoIkmSfKsPW/m/ng3lVXSLyZ+UnYQysEtLZ4W5J57nUkQUoJa5RHHAllmaXpYCIlUum7VoXYxQ1ukmTFpVge7lbO3uSrkA0/dDojDhtvsaPHOyAZ6HkCoFVTo3pBRcCjlxIZdOmigd0mKqVzqVtZTJzEZwZFo8swvDUHP19pg3vqTP48frjGOfRHoMjcJPmPgsmRfOBIO7RzvxWVDZxWYwys2XtBasdI9SFlnPfEWVuJmU2bkxxaohJ+ORSXLL8VGdoFAF+dd/y1SH2yArwSQRSRKhb7/9NrTWLC51aDe8QtLkGSRxaYyvwd6VpWZCa1W/qKgAfDK4LAeYhb4rS5OSVZgzdgbwYnJqLlFS5naMbXOm1vlj8dxLg0utIgI/5KkTgtu/2mAw9KHpIUVWOUjJHlwji5mfwOpRymssSAOkyiD5iYRPqQArjDxarZA33jrmU3ePePxoANpnZCR+qsWVcU1XxXg7EAm5PCApg70AtrVu5culi3Rsnq0qWe7BSJA2lSYpowtT7NaWsXpiSsxejgtENbjM5OpkKl+INWFWBXX5Mf0OSeLz6GNP8OQzx7AmQS8vLyGlZDAco3WpHrd6GJ71JiZeVILL/MtM7saw+nUuR0QWVE4yuNPb5WymUmmFYVpR6Nq5smYHNyO8YPESuNO7l02hTQv8tYrdXUd4XkRsEz5zb52vPFWHmgbpGpq9UglvpTS2fC+/uATrlKex2mwoaWncdGJkBejjkccrrhvw5pcOePpEjTj2sEIxFBovIf9MIilYvPgIazN58fctSmXM7djcvRbIdMcOKUt+f+qw5KSUMng+tFOItdm7srLbEsi/PmBfEujW1dQMOj0MIwQWfWExRghBkiSuCUdd+pc81x+ssDZUr1RR/RLOHxX5plHVAzIB7IpUKafpS3dVgDvb1SG/62IT1AzQXgnUmXPiHBP3qFSE70U8dlzysS+3AB+khxAKL0/u2Ly4qmpzZiyV6UgxATAqRWrloZS5Bk9HURuVjn7I94nXWKt596uHfOG+EQ8dcZMEIqMYJCIt+EpBl9iCHVeBJq0dstaxeAno2U9VCnoj0/18sqDYlDLLNv1btgRqU0r6VCRbGfCrgV06ZF9n8mfy27hVY8OMIQgSjAHt6YxN3TR9pbIiHSa0ePXPiTX+TpW5iyChCLhKdtGE7i70t0gjcCZ0d+FWVECesnWx2ZRj7WIAfgHuCmuXHrPG2kyqKBXjeTFREnPXA3WePFwHzwPpgktf2NLk2HJgVd3EqUre1ZNhS0/yBohSjUilujCRGJU6KolmHHpcu3vEK25xLD5MHIuPhc/IgE5EIQ+SzC50OreQKO4DTM4QzJhQSbDKzXxXFpf9tAJhBVaAtKKQKllQKUojl7PzWgJ7NWu9Wr5W0vn5YXsWWp2wsh3AIUokIlYYY9HNukIIQRRJxki35bQQ1f/Z2ueQ4aISJBQf1r2TlY0WV3GmxYqdD9yUpvIeMRP1J4J875189+Ks+bbS8FBsXaLUBLhLQ/Fz90QlKF0CeCpRfB1x6Jzgw7e1GEceNLxUnpC3pqnyLsGidCFXztwkG1RPTlk/ZjIlGy1dOCqTWlzTDCTf88YBn/lKkwNn3MWXGMUgUa7KMEmTPzgnQyTpWI4K35FTWRng0hZaXKYaXRqLTc+RlcIB3JRipYzJTeGIleVIxuyrZEqGlRQ45UO3mklXM60tHctcfI3cCA5rDeq3/uevbGzW/f969vSpvVlNhywzaUkulBnWNQGXdXJVUqjJx4rcKO9hKVM3JB0LnI4HzoE7cc9GJpQ97vxRF46Jc1Cq4PaURXtZ1jKpOCiejvJmBk+HJDLk9z/d4I9un4YgAFVDKU1DWerKpuMoyBucvVJrXJFJLSeiJMVkWCoBahFLFLZjdtEKSdr4W/RCKmkR1rBtU8iZBcnDT/rEwk0eMMIRli4FdGX3qupWFAaCKL8u11vbUkPLxMVQlli51EIU72UOzWSsMfHzypBWqo+VOGXi/8k3ESg1UUcJjMewc/eNm/Zed+sX9fyFU9NJ1H+Tpw1KaZLEFBsHmezriFXLQeUCy5eV1REypYNMLkvKkqSswdOlrszalTpwW9HeMgdDIUlUSXurfKeH0kZUalKSZJWCGXtHeDri4FnJR7/USOevOPb2ss797O8LKuOFZel7lwNNUX6RA2gCHKZcG1LMFcym9SbZ2IREkahUiyeab3/NgE/e1WDfaQ9kiBWSUeKhEXn63Dkp6dlLssRPBtaSdLI27dJyXnUGJll6zO8Za1v3N6xJ/XGTBqgTzlj5+SpXjep7lB8vQeFl5s4bN6wbZjoYjrm4sPKm2J6Y1qNxSBzHzv9OC9aTxObFVpSWrme7rcpIlV5nwcRqS3DSHqw+LwNcClsKLkvPMyBn1W6ZBi+B201kNcWjTofll/xupdxdq5hExXz63ib7DhXaWwjpRlbkHTSseQIzHVgOrCZXWlt5Xm1ArnjipYlUOt85I/PHnVS5+ooxb3lpnyMfDQgTBUKTCM1QCHSS2ncZ+eQNJ6L0KWwRAltSX16grLMwKYFelVlU2CLFL8DIdI+mTKaUfPAy2MsrSp7hpAr0yutnuU3uIJEkECUQxZYoiomiEJ0lTHyv2HfcgZxsl7qvm72rOrxcBzH5BVcnAiqBSgXgBWtnrzPWzsCuS8AuAz0Dt85BnWrubIsTadAyG2rjwO55EUfPKf7nJ9qMpAM3Qpe65tMVJG+Crm6ItTpKepaTky/fqZsxuVybsgZP56YoiTKKxGjixCNIYn707X3+4q4GR85qUBEYTSQ8hkKgkpKjUQ42J0Ce25Tph8tXGFxdiUqtw4zBVWojSityNjfCXVBGCoQtVo/VZkIK/PRj5JnNCTavkuelGdxmW58kEMeWKHKTvAQSvX3jkLoacSow9Mfuw9hUV9sSwNem7RK4YWLJKfvcpeeSVaxXaW6QZbCXm3hLDcg5uE0hUWTpXga2KoG54neX7tLJE0+HdEPD73yqzZmLASgnT4SUhTVYck3y5+XvXmEp8ZxMVNWkWeNBuUczW34L9s6bIaQiiTVb1o/5wbf2+IUP+3QiFxBYKxkb5WzDJPscFhJBobALkFvA+YDuJyoDuiVlbsfqLrOZBqDCFgyeZjuti2mdGssZfK3VrljtTVmelDH0LADPSAKqmwlbaxmFCeeXI0aEaGs7xHGf/sgNg4GiWMaKzCtdE9f55Vb5cBRMVl6KoLRssQa4ZVmilFnblqzBosheibIkKTG5NimjF4B2cqQkUfKtTuL8UasIHUR8/DMBH/jzNmPjOXkiFFJIfEHRVDxhiVV0t8hiEbHWEVvzBFWtwjLos5S9xZQ3+MqTP24r8JqO+eF39jl4wud3P+20OCgSIRkZF3DKhJzBiwKs7GQVLlnZrnTgLiSLtQJpbTo7sMhquqA33QO1dGxs6W9lgDYZyTGpx0UVP5SALtY+kmvtAaSkoF5XaN+CTtCPH9zA8rKi0z9HvVYKO9ITZSkAWv4rYuL5pGFfOfFpGfIlW9NK8qPK5CVwZ1t0Z5tOrcXa+fslYOcMXlQHqtQOLB7drMGlZfiLLzVYHmfgdgD3pNPeWlTlSeWzZnZZZWVbfVbKJ6R8ksiSKBV5QrF5l5moE5dOqhijiRPNlJ/w9tcO+OS9DRZ7CmQERhHh9PhkdaGYPKFlJi81kLs8UJEUyupTpHWa20qb16pY4YBuRDnxUz7f7k2nklIpA0zWo1SymmXZuwbLlo9jRqzthuaqLTXWrWugp1qSOJR4euIrX0rslwOniYhXlq64DNgVsItLgHwtYIuqNMkstCLILIG8AvYM3LbC4MXzJN/nRpfY22vEfObOGg88Wcdk2lumPZcikyfVepO8NavE3pS+22TZwupbyp65hVZIlMlmCFsOOq1E2cIXjxMPbWJedF3It75wwB9+1gcVgpBYIRgbjRLCbUFCOYNoS1gpafJ0qVfWXbF5Gl8WMsrKUqGYdDNeyucvi+VsCQMmiwUytrbZz9auUakQRQl32f97qSMax9AdgA5AR7ElTi0k950LRK+5REyctAqgJ2TKJJDziyADNCVZIgvAVNnb5hZhGeCywtwm1eWpYyJtqqtLkiRzTGRJosgYJd3g9yMnJR/+TIvzPd/tdy3doHclKHZsmIgXVunusu+8BntP3iqJHspLbdkDLoJNW+m6d/vnuEc3bXVjM+F7v7XPvU8GHLkgQUSAwiAZCVnaRMqBKgO1KJ9QCpmU/zffnSM9D2U2FyJ33LIa8vLK7H6WzX7PZEpZulB5Tvk5YgKDafLQTuCvcjG475BNMtOtuiAcuheVbfwmAqZn00dlQGc/qwC6dFDXtgVLS36Jsav2YHk3Y1uyCE1Ji2cjxpKSPEnyIDPX3TJBSydNfD9inBh+60/bfOWRuuttk9ppbyld144o5q/knzX7nFSP0ySTl49/RT/mTDnhh5fAUy2fLZfRunazzC5MEkMsNSrWvOL5IT/07i4/81s+41i6DJSRxKmrItOILssgZjFX8cFcSxqlz6ekE66Kgs2ldCl8Zw86iZZdADZla+esZDFdEXwWDRCrJW2GGYcrW4nlmHy0JQMjXZUsEMWGwSihNkzQe3ed54Tu8tjjIRblqvWkWJulngXQ1YxZ8QWkqNpok5psUqZk4M1+7sBtCjbPAZ4Ousx98HT6aQ7mbHhkBuwktQRNEVzKGM+P+fJDHp/8SoNx6EFd59o7Z+9s1ajIkzWYu4Ti/KCXcgOT9F2KMYsqzgq4waqU0U21VjwxEmmcVMmAHseaeiPm7a8YcsdXhnzhIeVsQyQISSQ0w4x0cr4rCrLAsXBeyltaZYpgM/031mLTpoj8tUhLa0UB9Oz8WlFUNubPZQlTJdzYifeq2txWjru7qoqLQEuINZxZHHJx2EPf+XCT+fmQi8uG2enUK2UNl2ANAD8ryFNWyH9HWZ6UmV3a1UFl+uVVWabIskxJXZRcg5fBbAqfuzzbWhXg1im4fS9ipW/5zL0NDpyrOWkiXEmsyLS3oDRByq4Cd77y5MemDOhn0ScZuC1FQmVVSloU4F41HKioUZFSIU2CNJporNmzKeJbX9bngX0+nTBNvxqnx0NUcY7Jzne5kqP47FlyJ/sqmebOQY0LLGWmw4X7nauBXirbFe7rIrJAtNT9P4GhSSWRd4mV/z/hAl6b/g9KwcYZwd5rNNPTPtpTDXxvSM1T+VWy2o9eW1evZnS79r9Ll5sK2GUWcJSDTFsBukpnbjgHparFi6mnpgpyORFQyqTymIHb0zGGhD/4bJ0PfKKFFdr53hX2ptDeFWtwNdDLcQtlkD8Le1cq+ZgAdc7kq1vZioymwSQSI50vrqQhSjykMvzw2wYcPuvxgU9qorgAuUEwFhJlskESKbhLmrywL1MUQhFspkBXqX1sRcb66ciKFPxSlIHuzidpDGDTlbsKfFEhxowsuBSmLKsI1qar3iiUDMcBQVhD+57bVs/3lZsEJUllyhpBVSkizjTSauaugnq1LWhLyR5bfcylQArsHOzl2XhVx0SWPG9ZsQdLTcMVazBGyQjPjzh8XvLJu5r0+x7U1Wr2zmu+S86OKBI8lRVt4nklQHpOBi+BviRZynNLXCuWSLveU6DLUupeOi0upSaKElrNmLe9csBt99Q5fC5NKriwnkQIhuVPmnenp3agKIM6dUtI68MzCZE5KaL4zEaQVzAW8qQAuhCZbBFr4kNASbaIys+xpYsh7daX1v37LDkFFmkESQKjkWU4sujEaAwaQXW2drlUtQrciSuK5wa1+1C28juKi8euck2yEWCV4LLkf1fnVVf1t0q39S7Y3e0nk7O4dLUn48hwx/1NvvRo3Q0Hl54D+AR756uGEJSD4UJmVdPPGW7EcyG7SuhVoJer5oxb/jOZYtOtSJzuNoVMMZJESFQiMUIRjTWvvTHktS8acupzHmPjdHhaCUWMZiyc3JCGQqbkA9wdyFW+DKUgL2lkm8qRbKBn5qTI3DKsAp00CMznplSOX/qerb4m+zcZrnBlAO5vCURi8xUkLQ5GK2g1fWamAvTWrdtWrIlum2oHfz9r+Spbd5cC7rMCuyRZZIn1y4Ngyun4qlwxExOTyoFmSYOXdh+Y1N+qlNjJgkstY6RynTrSj7n7IZ9f/L0pEqsL50QqqkVVZcYu5u8V8cPa7F0Bt3gOZGfSZJVMsRW5YsimXqXFWGINTS6dNy6MJo4Nvp/wE9/X5cBpzd0PSowvUsi6LxAZxRAKfzkDubyEJrfWsXoaaBaM7oAu0y9uU51tKEZJ2BQPtgTiIvl0KUlSKjFYC3epXWisTWvTDcbgZtbUmrdt3rJlRd38vB39YX/xSOCLHxJEaC1KjQXlTOIEs09kGiuJmTX+nVIlVyRrUCjVQJcrA8v1JeUOncwKzN9bE9xFMZUq1Z2oUq/l6SXBL354insfbbpNeaRrR0N6aCmoy3RPIllsdKUueRel7zQxQq5U8y7VRMN0SdcXr0XporcTx7VEBqUBP+WGi1W7LVhYNxcTaMsDT/isDEuMlYaZ2RTxouIwkwdl4Jev1uK9NatMs4Kt0qpUxBqi5LEX5QhlqzS/Qkq/o5yOyisv8/+/iFWsscSJQUiPM2cWvveRR585oFv1BCEFcZQwTIm+FDhXriCZHomqRJlgbll9r3qVTgaVExKldILKNSflHQUyzZ2z+Fp3VQ4s4zSh454nfsKHPzXFX97ZxNYUCOXQKdKS2FK/ZdHf+Cwd82X2qWQeqrgov50neKpEXsgUqASa1fmFaZApbUWLW2uKGhWhkMaQCI0cJrz9VUOeOerxvg9qwiAuBVECazzGpN1VJtUZibPeLFmprPuUmd5WQuSsnYMwLbQyqTY2MgsoswAwvTDJnJSSFLGOjaXILq6S9q5grVAG7v2yxeneSxKDISGMYoy16FrgduaKhcUk1u3Zkv77iqle0p2skiMT8qWkoSoAl8UyX/bC8xG8JQ2+ZnApTOp7Fx0uOYNnyZ1UgxfgTpCl2pMvPBjwe59rMkrSKfgiswbdJqa+sBXtvWZqvgz0VVJtMth8Lq0iyGquM51bsQmxq0porSxlNmXJWRGuD9HItDhLGhKjCTzD9725z32P+3zhUZlaajLTiBirGRvXjpanIs2ETCklgKzAuSiieJ05KlJmWLH5gciswXSMYIGPkqwp7MM1JIqddFfSCyH7O+nNWFcua4VNm3YMut0IkUIwDhOiyELsJFj29dZyS1gr2FxTp2fuSNUtKVuCYi3mLrO2sBP6ey1wT0iUUkDp7jFKRwzG8HMfmuLomQCri92Sq9q72NxqzcQOEyAuvzcJ5OcQ5OXluliyS67Emnp8dW2KkWnFoayyuEgMQmhkaLh8S8RPfX+H+/5tQG+UfpncfRAkaEZZ9MhqkFvptH/2nDT4xdiSVUg27jBN6Ni0RrwoEbAlfOSWIQ7MtnRMV2EsZdhJVZEf3vS4RbFlnBjkOMFi0VfsFPg+nL0gOL9QmPPVq+USYF8L6Kx2S8QEsAvQ2xJLlpg8Y88M2MJW+hIz0OfJm0oyp7Q7b7oFtdYRcQK//vEWj+6vOc9bZsxdOCeeKA/StJWxv1WrczVzk7GPKJqpV99y2qi8VakwzEFdJFYcmO3qakPhGDwPOjNGTyRGpPdEOaliDDftjXjvt3X4H386TZhIIE5PqtMXCYqxybT4GkyegkBlwSZOakjhKg7zFL1ISTL/1VV7sAJ2UllrS8fZThRelaWMu3JW5WCyf+spGOs6ka4jrEHr2fcQNJpES8+w0r2D2Sk5kcCwq36JLC8Xa+pwm79fuCj2WQFePJ94rDB2+b2ksApVebvpKnNrFaNrCV+8P+B3P96iM/ScB5h63qRNuhl7Z1nLPPgrWaV5LmBCf+cHuhKWify1mAB06WFVQ0nZMqzqcDHB2kW/ZqHHUyYXzkZMpEJa4+pVYkW7ZviBdw54+OmAO76moCHIUQkgBbGRjPLVpgC5JS2NNWmBVanLh5Tds8xz/j3A9WjmzG1LafsSSUzWqFAF+2R5SM7etoxJ9ztrPnzH217KtdddS7/fR2svQOuAWqBp1hK0VpUy0EnWLpjdVk5uteakuj/LmsBOEz7V4LKwA6syxUyAvWBumZW+pt63LFUJShkjdcz+45r/+bE2hxd9Z5Kmfrd7lDl7r2omntTfTB7oErDLx2e1GqmqlFJipwzyyrzCnN1LZamVFH7G7FQKsaw1+aayIpMqwiKkRkaW3bMxP/quHsfPaw6dEVhdFlgCpJeDPO/dFNmI+RRVaXLFSosyWUGWu0DcBWBzhs6DzOwxZes8h1AsfhX5kuWeCv87ey0mSCX7/e4ij6IEYwS+9hgrD91uxPhBwrrpkI1zY6JEZwmt/BxNBpOTIJ9kctaSJPl7ZpV7IkpgzvZ7LAO8KkvS0QnClJi8eJ7531LG+EHM+Y7g5z7Y5pNfbmA9VaTjU2lSZu9iR+U1PO/JOwUmynKkfPCLA1gFfMVdmwB7Lluye5bomfDFMzYXNhuF7Ng7MTInEBd4psFnYogxeNK5Kp2x5Mffr7iwIiAoodEKQJMYyUikQBZFEJyB3UpQaWWildZp8jx1L/IMps21dvpoy4CveuBrBuoTxzNvnE7/kx9W4Za+xU7CQtcwCKE3sshW3dBsy/ONWnJ7e2oGMKsad4vaj4lUuSq/7xyOyVR6OeNYZCALH1vmPnY1iCw88arXXQkucw1euCZSOnB7OibE8Omv1vnig4201iSzBGXK4Bl7V3cOzlPxZQafZO6SFi8De5K5y0HQqlu5FqWswcmYuzxjRFTtwjyzWXTe51t058ODJMaq9D33PI41wkpe/8IRb3nJAF/ErkPAlO42xlpDbGBkIbSCyEBkBLGF2Ij0DrF18wDjbAtCm21FmM0rqb4/uWWhye82vZe3M6ze8/83+12p65cYS5JY4iRhdt0cQ6Nuj0RwfpgotN++jvvu/ovjWvu/ht72Bux+pPTSK6bYEg5K43jzgvXqv6kwuZyUJ7byPHdQSragKDN45pqIyX3Ss3uSB5YytQJVCm6lYmJh+NRddd73oTanFzzwlWPuUmApUnDnWUtKnrcss7ct2uqAcr9lVa6ICqjLBJ4/s2tivPp6lfYuldCmfZHVHdrcJq3OQpRuP3rhACOFwQhFYopLJhobts3F/Pj3d+mMJH/5lSZR1hmcb6vpgtcYwUgUjglkjJ59UcfUSoiU1avM7fx03GSsEoMXLkpVlpRlLSJNy2cOSoXJ8z+fvxdFCS+8fhPrauGvPXjPl47/w+9+t9ujpxEMUTqhWRvR9xKE0mCrgM038sylSBn8k9q79By7GuSlbFt5l9xVMiXX3+UVYDW4s9pumQaWnpdwbEHyu59ocuBIAC2Vg9oldsraO2NuW9XbJYZeU6Lk0mQy+zfB3JXXhYuyVrLHwc9MJHwmgk0mQG+ci+EeiwBUZMzuLApEKlWEtSRGE40te3dHfN/bezz4pM/x+Qx1lIJOsEYRS1lIpXSEmzW2Elw6cLsvaoXFZKl8QyWwtCkm5KTmnjzWdoI8y7K5rMUp/r8wsix3YxZWQsajCEg3odq24yo8v4aSEUvzxzDWrAJq+RdRCTAnmDvXpeUNiCYDzCyiLrF2yTWpgjzbOjqTM0nK6im4ZYIS6V26KVVLPcGv/FGbux6tFVWCWcYyA7d00rNcc1Le1zGTJBVbsKQNL2kVrlYpz3krd9dXqgrLFmImV9LgLpMhUqT9kJXBnU6HG2ERxqbPVdoqJhEojDAkA8OrbhzzT9/T5T9/aJrlYQZsUZQHpiCOZcruaSDp3re55nbgzuxDV8CFmLAOc2YXuf8tKVyUVSviBGNX48JqQghrkVKzc8d2bnre9fQHgwLgzalN+PVtdyw++pVfRDR+XNgRSpUAXmHuKkNVq77Kf9ROJHrKnnixl2IF0CmoM9CrEsAnwV0Elyl7p/UmI2H5rU+0+ODHW/QSL3VNsrsDt5vdV3TrZK7Jmtp7wgenFMVPBpjuwpcl2v76wV1h51JGs1I7nrF5GvhlW5/IkoWYMbdMM5xCSKRN9a2QCKEQwpAYBbGl5UX80Dt7XFhU/OoftStltOSgBowuQJ4eB09MAD2zD/N41V2MmUNSdVTKqfzC414F9lXArpJthjWspd2qsbK8+IsveeHeOw4cOZstQhA0tvOlv/ovg/Fg6ZjnqUrtx6W718sp89Ks7EqWsagbqSRusv8nK3Ot3G1JfpT0dqa180ROAfQM5FYbnjni8yd3NOhGumQJFp06CFdS6ZVArbKLS2T1L2tE8xNsPSlHROngM/Hz50J60a42YRmSFSiVNosqM/pkRjPfwViUAsvykEqVt7cZq5z8iBQtbfnO1/e5+soxMnFBJrYIOItHS2xgbGFsIEqDzzgNPpM8AKUIOtPxF0l6z59XAshiHmMeQNq1g8xkIkhNSkGqUpoL84vH/vG/+H8Ge6/YUjA4wDU3vQXt1Thx+CucP/kAWnkVeUHpZJZOS2n5mAw2J7Q3VCrdyn54xtKTzC1E6WKRCUJk3neRzMlcE+UlPHHU472/MMOThwKsJwtZkjO4LNmCRc3Jqp0aSo/lgGi1Hq/aVKXR//9rcmUy0ZODvFpwlQWfxoo0aCuCTpOOMzYiky0Zc8u0AMrmE7KEcUyeZLFVaLnhiojf+PEVfui/CJ48nAYnmVSpfEZNbNKWNQO+yBJAblXRqURxDcqpTy5S2zAttc0zmZAXWeXJn6zupBQ8itLxmcRiJhejKOHl1+7hrW9+Bf3BiN/65Z+uArzZmkF7DRr1IN99TElbWR5WnQ2oypOKDrclTVtuSUsBL00RXJb194T2liWfuyxPcmDLGO0Zelbym59o8ti+gESVmTvT3m4qSB5YinKl4Nq+9+TcwVWj2CYYPT/oYvIAXQLXE8AuI9yxuq1KmEoiqOqNkxZlSZtJE+EkCa7Cz6SS0b0n03OiEMaSYNDCctPVY/7x2/r8xP/w6MUCPAoBnT0CoEiMJMzrT1KQI8C4coeMAouMp5sPnjkwYg2gr5mqt7Z6DEsXXPZvlHRjk/2gzoYN66j1Bvk/zwGulEZr/7DnN44EteZuaQduOxORHfDsF5cvoewhY/nJDGYG5pI9WH7MtXfhkoic0SflS6G5pSgCS+0lDAz87iebfOyLTcZp8VTB3Jl74koQPFFsuSfzxM4l2BsmAF6+oIvn2YEQa4L5ueRJ9Xlenlque06PvyGt8agUYNncCxcifY9Ck8u8vNYgrHS2m3VuigtAM2fF4ieWd712wL4Tmt/9RIt+hDtguQ635D2auM1q80KrlMGRaVOGyLR4uiOEqb7Omh9kBdhFsC5yXIs1AZ6XOAg3JmKm3aTdahypBcHh8TjK/3keETWntnHq6D23a2/qI+2pWWr+iFoQ4XvZ7Oyyli5326zxfqbDs8YEMcHMspyNTKrvVVrNqu9n4M7ZW8f0QvjgXzb5Lx9sc3HRSzsAypo7u4sSe9s8a7mKtfPHIkUsWQ3sij4vsXYRf07OJ7w0wstBZOW9/HnK0pWKwiwJVCR8yrsl5+W05RryUje+0+HFnENjNEmi2DRn+Pff3+Efva1HK4jdyNZchydg0tc2AWswFkLjNHloBGGqvyuJoLWSQVZMJIaqyaBMsye2nAxyP4+NG5M8TmAYCbpDw/oNG5ibaX3k07d95fYrLt+ymsEBAl9hRf2zWzd23zruD28cjDzCyCNO3EEQtmCWCj9VUvgpYCrJnjV0t7CF9y1S56QsUUrgnwS3kq62W9Ysf/nZBj//O23OL6XJHKlX6e6y551XDK5qqra5zl5zWuwEsCeJJQP1GtmdrwvkZVbK2Sll60ynrPbB08ds6GWJvcuuirCFo+JYG4QxqWVYSBWBJgotl80k/Psf6LLYlXzkMy2oZQwuSkxe/viSiEm5kmrxkl2Y19WUvPEs8ePsQlskb8Tah9BSTJONjGAQQT/yObnCY+1m47OLZlj59xWAb73izXzkj7/vXmPEQzfuGNw4XQ8wRqbH1+krRBZe2okAa7UOzyWKKAeUZalSANy9X2JrYRCXALeUCSowHD6t+cPPNDk37zu/uwLscmDpNHfhnNhq1nKVPCkVVuUXcbGBlnspqlKlDOqvj7gv/f6EZZgpg2KG4aQmJy2ZtW5rP+ECTisyS9Gl7V2AmskUmXvkwljSFgYQiji0XLYu4T3fMuC+x32OnPEhKGEgrQfP2SBFQ5zKK5dssrmssqRTafMu/SyjaYvacZvGOFk2c6IeqgLwdIWIEsFyaLlsQ5+XXX/soTsfOHbvf/3p3678ezl5gB86dDMPHX4h9zy5keFYlMpDq+n2yS74QrYUelqW5EtWP1LxtSfS71ltSQZuuRZzywTtG46c1fz0b0zz5YdrroFSqEvcyxnLcr03lwD3Gu7JpCwpv67kjasXxVpZuqpLUg40i9F5tnTPX5fYOWN2U6pPKbN2bhVO3k1qIxrpymxtKlWMxFpJYt20WmMUZiR4zQtG/Ox7O1y+JXSaILcPkwkLMUkDYktsMxtREKayJDJOksSTtSlWVKRI9f1s0GhhL+ZDSbMLyQoavuGttyr+ybddyY++Y/cqwtCTb/zz73srQurw4pEucfJ4WrAjSlFrkZrP/9SEe5KxecU1Ya0g00zIkqL2JPO8J18rz3D8ouY//uYUH7ujQShUNZkjy9LEsa5OdbdmbfYWl9DhqxI6a2huRBXUl7yt5QRUAJw+n7DlJpM9GdizF0URVjnAtMVELFHYh8IKROawpAxuM2fF2OwyQwhFbKCmY979ugGJgf/w61OcuBg4ZwXhoGOSieDTwclYQZQdkLy3M03dI1xzhC31YKYRZR5oVo7n2rv0SAFaGYJYMBpfTbDuXaGMYuAnnh3g27etA1r/9tSJXdd0F4++quWPyZIjRdaykCJleUL2bwSOhUvZyiKraQpwl/S2SC3BLPgUspq1dJ05hhPzmp/41Sk+/oUGoUy3XhOT2cqikUELiuH1l2DvqmsyUYfCahYuuyb5y4pA/z+7lUcpZ1q2osMnAG9saq0ZyHbCywJRkWlx43YukyKTKq7UUZbKnwAAK4dJREFUNvuFwlowIIRKi6pcf6OnE77zjUO0gp/81WlOXPTdXuHZ2p9dkFmqPs0WGwQRTk54UuBRxG7WlrqAcJ89m6eyKps5cWjdNZMVx1l27Qh4+S3b72xOb/+3F+cHq47lKoAL0eYjn7ijC+sPJIvrXr5j/YKq+05eiNTaqwA9//9KAWV5dMHXxdwlWSKS0s9NDm6pEs4uKf79r0/x8TsahGoC3Kv0tzuInkzZW5RZu8reWZCTd++UWGJN1wQqrFI8d5Vv/7sQnxyMnwOo7LRkgVqpP1NOWIoOvClwcg1eSBeMLH1WmXrkbtEzxqa1Ki7oi2OLxvCu1w2JE8GP/+o055ZKXzqzECs3l3MwyDQ+SA9mytxKFAOFDNY9zxJCFCBfBXAKQtISGr7l2m1ecvNVjQNnDn+2u+e6b111TFd9NHBBgkfvvTsuaz7hJEp68srBYvk+0WKWM3IeRFYrAStypALuUkJHZAFljFKGxBP8zqdafOzzKbhX+dyF352DW5Rb0MolsRPaOwdvtb+0SORUZw2u6a6UmJ3yv/86gZ1n7kqvK0VWdo07Gfir88RX1Y6XtblxbW422/MnswrzjiC5KqVvEolOLO9+44AfeGsfnSSpfZhZiNnz8t2AdZWRSW4lCldbnqX1U/uwmsbPattL2ymW9Dcl4GslGYTtJ85dGLxXXuJ4rwnw7/6213HLVd1kx86tNvCrerrcF7kqeZMXTlEFfAnQKvO/RVJcDOl7KpUleSd8Cm604PZ763z09gbjfHBiGdClR1w6fjJjqURVb+fPWQOwl2JqUX1PlABN6feUb8+F85yoxdrOSrUYS5RAXwVypSnCTAShphqATgajtuKHp+DPgk+j3PNEEhjLd7xhwOteMkS4joOJupVLgzxOQR5aiG3aOGHXDjZN/ihywE/+3GJJUGzftdt+5QmTXHHtt655fNcEOMCG7a9i3eaXflT5G/tCFDuXVQukbMneK1uCRS1JwfimqBSURSdO0aiQ1XanrC0TpDYIDz59T41//cvTPHU4wMoJQIu1pYkvS2OPS6AuAz1b8iaDyzJYV9V/T6C/rBUnQf2c4J5IY1ZGuJEFkwW4y/+fLTN8ngTKEkBVNjd20l0hT/xUWV3krF6AXJFYhbUKm0iu3x3x3/9Fh295+aCoqLKlZFDmrthJ18XZnVEK8nAVqIsL0kzcsyKuKBGuqyhl+J1b5vp//00v/ui73/rySx7jSwK82d5hF88/9SvrNu5Z8FSM58XpVtdpkqWUWq/csRWwrwK3mMhcljKT5RpvqQxCw1/eXecnfm2KZ44FDrXyUkGlkyZCpswNq4upKALISXtQZpE8k06KWJPVnxXQosrOz0rda71vJ17+/9v78jg7qjrf7zmnqu5+e+9OutNJOjsJJEhYDAkBNKgouDLO8EDG+Tx1HHTEdd44+pTReSrquM0o6nuOT3DGh6APQfQhyEcBWQNoICSEdFaSTtL7epe6dc77o+qcOufc6k4nBAOM5/O56VtVp5bU/davvr9dpyyG5QQKEEoZRZyILPQP15ep5vmUdEXv4KaVaBY06rQcSfIqxSkLfFz3/jFccl4Ech5YgK4B3I/+6tI85OA+B3wlyW1TIEkEd5UTlAKCqRpBpUZQ9gVOX7188KHNW7+xdFHXtLfawQyjuX0Vav4IahP3IusNwnE4ggBR46PwFVb3I5MZwK2oivweqL9ExpuQENxwgNvuz+AfvlnE1l3TgZta1CR26MTSWwM0NaX3dF5KakllBWibm+vr7ZtHZq9s2jX+dAuKWkacwgbE1hUJfs4RxaJYpkPEEYjKqxkpoKHThyuLCo+eJvU9cgSFaWwqSgaoAqf2+Pjc+8YgBHDH/dlQa2TWg5ooPsM2WH6knLoEUWmI+B2lQiMQnjoQQDni8JyH+yxuL+AVq5ehvaU4472lM270FlQ8l7937tzGSWAU1doY8tkpOKwW/2fVDxo7gurBrTlslCIZRG+AwNhOaMi5f/FABh//lyK27vKSwQ1LelM71kTmUGo6ARJMg5Zte3rToC2p6wg5dJstgbbjLMCtO3nqgK87gxACVxa5NM2GpI6+cB3wPObtPIGLm1Jc0hRJWZjq6sY5Q1ClOK3Hx3V/O4aL109FNETSlQBAkuI5jSRHTFWU11y7j4EAygFQKleQT49AkAl0dLVO1gTeu3Lx3MpM93dGCe6x/dxt7nn0uYk3jn30u7tzVV/gs+8awZxigFI5DJkElAXItLBY7naSILmJoiuh5CaMQzCC//dQGh/7ehHbdntAysqnTHLo0Nih42qSmxkKJdTDZ9AQxKbCeqluFqiRUpkkYVvNsW5iwjqLhWgbiObA0UBOgHplMppHElz3krrwMDlcEFlmIrKXa/VTiOYE4pyGpkIhlISX/napkHMe/y9IlWPVQh9f+sAYhCC468E0AuAoYlMOU5IT6QAi0bERJ3mHRbgCLG0bwT+9axA1pLBo1XvGWlt7Ht1xcIDPfJYZhmDzALQPPPGse1l7x2v8LTta8K2fdmLPoTyqNQ9VnyEIImUFgCwTGofJRoFUxDIBUq4UUQVuGoL7ns0pfPgrRWzb60WZ8BoNqbOahB8C6a1E5K2Mb86M0hvJobEKtJZVRLcE2oE4xJI6xzqE9bG36SHLco5eyk1FGhpmRU3ZRMzF1X5G6YmYl9uc3JbkyoTIGXgVWLnAx1c/NIoLziqD2ZJcHF2Sq6hDxA82I2FoRdoRyDGBxW0B3nspxdKOFmw8Y5O/qrt62ZJ5jQMrejpmvK8zSvBUKo3e3j1Yt3rJgaIb7MLY7uXNmRL6+mtoKVbhuTV4bg2qliGkNIxt2WYxn1jBJFK51CT3XY+k8MF/bsCOvV7ooaG2pUSGwkqKEtaF06W3XbCeGTmVsUs+yTxoZu2QOrpig9eOEZ/OfDJbU2Ed4CXnFpFkU7ZvEtMUI9tecnESvQx0yS1U/Ibi4YjBTSjXHEGRAyiqu0Y0SQ4ae+dJpN1SwbFsvo9//egorvkK8OuH02FbeIZZDApOQts4EyHFlILFpUDKEUhlBJrzDo4cacMTO4tY3/nKXU2pZQcGjjyHto7uoxz9KMN1GLZufXRvLsPffeGGlchlKCamPEyUXFRrkaIpYuXSDLaSy1qIq3Te0FqYtOByCAf49aMRuPd7EDbnlqV+Dc4dgpuRyBUvn/oIvCxSKpWX0lIeY3AKk3YkmQq1feoiCC1Y1tdGmR7eQv8yg8lF8WsJ+ijS3zQpmuZF3YRoSnFE5kFYdvE4I19opkIhtDhyKb1FHLTFRRhXLioEy7p9fO3Do7jw7DJoEEVZCcvCImqA8GNTYlQSKxBhjmcgnV4kDK3wHCCfEshngOHRAE5uCQaG/Xffe99De8UsniDnaBPmL+hGqTSFdDrTR6l734H9O8+rVMfCGHEhqQk0Rw/X7NqWKTACO5HWEg/YN8jw4B88XPudInbs9SC8mWzckn9TxYf1OO+6THhYLnnYdm9RJ4VtxVLpPJpEj2lJgulwWvDPPBTGlccuspYIe5IeXBXPl0CGtk2aEIku6YmmcNLYrS8iXi7rkSMKyhJRMaGQe3OAhuG2XESyMWLAlADE51ixwMc3PjyKT3+X4+Hfp7FvwAE8Ef2mIgrK0oDJBUAcCEpRE6Gn04v+DwQhyB0ndPw3NTZhxfJl95199jl9pVIJ2Wz2qPd1VupAJpPFU08+vjOXz39j6dLl4LwW/afi0mqO3mjVqvJKo4RhQoOQmhAOmgJ29Ln4zPVFfOBLjXhm31HADRm3K5tt6DHeQsU3UN2CovFtvb5JnUMHlrS2pXn0sOjOnTpaIoGvngqLzkwHbKFNsHm2SJDOdQ9GeBGmomk7gOKMe9uKYjuClI0cWmY+j6W5ktwyI0hJ9UiSVwmWz/fxLx8bxX+/ehRLu6ph6o2IpLnh1tckOg8QcKHMgX6UuRP2JAL8WoBly5cjn89/Y/PmzTtnA25gFhJcjnnz5iGTLTyKYOpWyvveTKo7kHID5QAK+9/ErUJiK0oQK5rSFZ8W2HnQwWeuL+And2dRDljIM44muQlT6JLUxGwWpXNsLUPHqm1iJmWYkYPK3FdHT+pLIes9bWbl+ZlpiLrnQ3sIiFLIbGsKdEkuLSqIqrzSpKq0ArGn087rDLm4lOCgUeo8SPQWCOeAwuDkAOKSbwgleUdTgCtfP4WUJ/CP3yyi9yCipAlokYfywxG9RlATDJOgoITApQKVGlCqBDh91SIsW7r01vnzFz46Ojo+W9jOHuBNzR0Y7D+wd/7iM6/xJzYzf4JcmvFKyKR8pNwqHMeHw2rKEykpi5TYymriAr0HXFz77QjcYHHCAsgMtKReqZRSWymVVLOaWNYSW2G0TX119MSS8DpO6+YgYe5shgZqDR6Q1ER5MTXgxk4ek39zEbXZjlbI7PUYzLH5L3wQhKInPAq1lRWzqKxxKHgszQWVDCU2Fcprt0BOCIEoc6ScMAoRArj2+iJ29SGKJxeI6ihH4KbR3wCAgypcjKnAL450OgeWarx9w/pzrtm//+C++fO7Zn2LZ0VR5Ghp60Iw/pt9PYvXPNXZWUAhN4psuoRMuoR8toRsuoyUV4HDfDisCkZ9lWJGWUhL9hxx8OnrC7jlrgjcjia1k+zdCeDWW2zbMSbTmQGNv0lgV4AmxgOhA1dK8iRbt/kQHBsLt81/xgprXVwfhcT8OzqfzuGNqEIkrNPs5VAgJio+JXbxa4qmqDcbqqygiK6EjiAndAzVKNJC4O2bSrj26jEsaPdDulLn2vcBXgVqZZBKCaQ8Bd+vYMQXeG6co9A6F688d+1TP77j4WMCN3AMElyOXHEuiLfwOlH5wyLu7P1zxg6iUuF4/BkC1+GY3xWgpZGDBtqvQoGqoHh8i4vrb8nh5ruzqJIo89c2A4JOC25pJZEZOnJZOXRQH29iZ+uEIBXTc24N+IYd3JLYtjJq4P04tEzdaykrc0iJrdYZ0ty0wigaQqR1xaInxFY6Y0+npBuycStXXEc24yGgCBvPhiJ8ekkeviF4mMFDgaAGeA7Hn28qARz41i05PLHdQ4VLehIAgoAFQHNjgO6uAA6j2LYnhcpkGnM7O7B8xcKbLjpvzXVbdhw45vt6PAo/Jg//B7Ltndmvf/MHd/YPHNywr9/BL36bhucEOPeMMt55ySTOP6OCrBeCayoguPHnWXzq23mMTDjwBU3IxJHKJEkENyHh283VAO7IiEFa77lkWsVYvS+lTWcYjU1S4Ryi5sb7EMS9KpO+k3hfGvXDjJYJ0XpjRtspNa9JnUceV/YNpVKR19fpPYy0bUTbrpXTM/Nl9ZBns8lAnbfZKoBKSDyHaGVAYoedmQdASFxmj5CwA55PCEYnGD55fQH/fkcWk7XwPuVSHBvPqOKdb5jEua/w4ToUd/zGQ9+wh1xxwf0HxYdem8K+qc/8zev+OAAHgP9zx8MIuPj1Z79486t2HhkDdyl4UAGtllDMlnHpeVP4yFWT6JkX4MbbMvjkt/MYGXeguqYmJAfH1hIT3ABU6pmkJo4G4jioSigQqyQHrc+ObA1ISGwn10HGIvDZwVlUXx+BlUTgZvr2CNDxccLWfJTUA1wdn8bXYgBcrdMeRmaBm4iwAW1UXClcNnuL6nPj0ngJHTWSumuo1EJzOyHmw0CIBXD1XVrRtLAMh2BoguGT387jh7dl0DMvwEf+cgKXbiijmCaolNOo+ikwyuFmmuF0vPcegL7aTV1wXDg9Zooix4WvXImA80eeeut5626+7d7M8ESAwRIDd2sYmfBx48+yWDiHY8HcAJ/5Th4jY1ExzDrvpOWh1FzwktuyBHDHzWMtxRIzKJPTUAydahhKJ4AkS4o6hrFHuCaBns9KlugKY51FRY9HIfHk0KYtjB6UQl+vB19Fc8y4FlnFlhjfo+DB0PgoCAQouIj4CKcIG03xcF60zGXKWdTORHo8A2knj9LhUBNoLga49q8nUfaBhZ0cV72pBF4GqlMefD+LkfEiKn4GHfMvKBXJ6Y9Ar9h7jOO49+xoKSCfdj7xgcs3fO2yjd3lNV1VtOd9oBqWEDj79Co2nVtB3xBFqaRpeUgCuJMA+HpwKzOgBW7b3a63t5bAtk2DM4Kc6A+EZW6Z7m8yqmc/hPnV4Nc60IUxFSqzXs3Rs35s23j8ncOMUeGCap7Pelu50GJVuGYv172fsTLKEqMQhWDh+QOBTIZjbjPH3b/z8PATHigRSKVqGBon2LIjh0Njp5dTzZd8TZDUJ5jbeNwAn1W0wHTj85//nNiw/vz7ujs8tn716LrTFj3Dtu0KsHyhjy9dM4aNZ1TRWuD4+YMpDI05Me+mWnFM2YyVSOpClLXEpUhoEBU7cwxqolMKm3sb2+L1RD0Mydzb4OQk4txqm6wZo9GRaB1F3CtT9s2kxnK9BYfQhPgYJAeDhfO040XzoB2bRg8ajR7SOJJSt/GL5IddVkhQ/8QhCKqKmYgsSvbTH+0UVgIg2rml0Amzw/b0ubj2fxXw2NYUtu93cEpPgADAl28oYNfAyurcOYuvGxsZ/OzCRafUng9GnxfAAeA7X744WL6o/eH2liPVSnnvBYcGy+SKi8t404YKeJmgpTnA+BTFQ39IowYGUNnhTP6VFWDjjBxpKZFKpZTcjgQo0c2ClufSar9NCOp4tQIUiRVMogCrbatbrxdCIgr0cpv8roP9qADXgZu4XgewnFMP5Pr4dRI5uEjdeRK/S6jqmU0KsyT25ApJzEgMaCFPqiJxFMiN2RE/LwvgX3+cx89+m4PwGPY958IPBNJeDZufaeY8teJaZJd86Q+9I5UH7rrpeeHzuDm4HI3d78Av7rqhlMuuuPXAuPePB4fuQf8QAfwAlQqFx6o4c0UNHgVKXKMkCtxURUGFtTJMJ45DTMAqmgJLwsk50H+shJhvYv+g4f/D/rHjHzZm17GckpMQ/1X71K+e7UgMmdVMgxQx5455eIQxGWEoQUi4mQmkc29i8+7IUhjtK1u5h+eRJdjC9SCI4lCiIAFOQUlYnVa2Dozryut3IywoxGmAKufYvN2DgAu4HhAQNBcn0dYQ4P1XvUIUGubcWvN7S+ec/ZfPF57PH+AA4GVPQXNL67Pt5dar153deP3I2P300MAYPLcCxxtHEEjkyOKYnqIlhGhSGTBiSuwYbrsZq70syyLJYwJJoNVevWSa7TZoiTk/BnD0r41mdW5tuzZHeiclfnUg26BWcyJwSnogi1mqgCy5XhDV11IFZElAk/j8MfCJoYSqcxEZ6BUH1OmBX7aXnggS9QAKHypZAz50SAVKyFMeACQAYwRgHpibh5diyKQJlizaxHNNp13d1rn42cr44RMBzeNXMvWxaf1ZGJoMqpe+6vzvrZrX+JFl85Zi78EGVPwUBKeYKlMIwgDmKopCCA3jfSmQoUCaxLEljsWxzYKZlrfSlsgaTuI5wgSv9V2uMCQ6NOAj5qU6oGNgW0/EcQxR90VbtBVNbaMCYZJiqeaE1xR7LrWYFSugS83TPZrQvaCkTtnkVpnmIEpSDgIHtYChFjgIgrA8M+cOCKfIpjlAGDzHQU8DB+VLsLev+yNtna/53tRouZourj8R0DwxEhwAzl+7BIMDh4O3vfHi3sG+1vGp/sMFSvsxNsnxzZ8WMR6kwtcR88AoRYoCngZa+9WuJyVQJNQvgUk5kgKq9APaSQvGxwa3/pQoqSqbTxHzuNa04+EoSjJjenOh3GikqOkSWaMg+psgNhlqVCaS1ogkOXQpj7hKsr6PjIGx/3NcAITQUGoLos2Qb9PQxCgfMkIE0qkarn7LJH71uI9yNUBjYwPOPGv9+JmvPLP38KEjwZy5p54oWJ44gANAOp1Big3dnu1Z+75S4+jX3HJf8013j+Op3VkIlgZxUvAoRZYJeJGDw/jxtMUYeFqEIInd8Ub2jb6Pvm+iEpW8zQamkY+JOlzX2datr7MbFoBjoMeA0u3a6oTRdwloSVsU7TFiUIQZZShMTk6IFpMCM3NIgV2+ARIvXD4dcRq6/jaSb1BOmTJFOizAaT1lXHr2EO7d0o7L3rJpaOO5az+49+DE7V0duRMJyRML8Fw+TOEXweCN7pyLnJFD49f98om720amKIiXRpYRFByBdOSR029XwKFSqsKfURwVoNMqkMZ8USepJYTq6In2MYakNQkPQxKnN3adAfWJwYT6hoQHQIEzsmwYDwF0zm1Ke5VAodYRxbNjsIfr5al1ekSIKYBsu71sHCXjyEVkIpTTKOVwohJxlHBkvQB/dWka56zf0H/5pev/21S1euOq5Z040eOEAlz9qKwF23aNfN9hb6ZeIfh8ytvcJhyGJg/IOTx0aEY3RtaFJghrR4OIuh+ewOTTBs9GAuWARUmIBe4EBdOgNfZ6mBejK5jqB9anHEe0lZgG1PIEgljLyqsp+Ua0bySl1SVEZhZZwlghnAgldXWQyzeHBLS8JLOpQ9zWXYBE+Z5E8X0uQh4eV88Kj+ewIOoUEtYSP++sdf2b2s//ODD2fULaTygG5XjedvDpxje//gU0LVn/RCGf7h+fLG+cGB3LtGXD/Lq0K+A5YZwIQRzVJjToyI8d+prUjSExc8eYoy1rNnFCNTt23XbT/h3b0InhGIq/E80BYzp5TPs3Ma8L5rWqxCVolqCkh1Hbr456EUmx7LcgmfYY6r6rZVlA1KyYa77hiJorPxyRohkw+DWGqs9Q9R34NYZazQHnFA7zkcnPHwrYso+Vx3d9P9Ow7oWC4QsHcAD47S/+A8vXXbKlrSW/vz1PX8NLQ6lihiLtEbgs9rLFDYmIEXthpphFDVpRD+akDg11sSqaY0cCVzlmqD2HGI4g3WljOIAi8OtzZMCVBP7RAA6SDPZ6XYEkgztakHMM2gZiALZOb9GPrdmt7befTtFMXqY9gJqHkwsKP2CoVB2Uqy5KFQflioty1UG5AhQaF44XGrve57Lqvzd0vVvgBRwvCEXRx+JGh1OWuyloIrWxOeQHvbv2pgllqAVAuRoyvZIf1qircVnOIFQkdRu0fcPruK/10TaZnNnm27po0n+whO9A/XHNcxBjzmyHbkUJV0Bxg1hB1D6Sb9t0BDofj2mJELLFYMzfw1NoaqOQ9uvYZEikcgtEjB+QxnL9vytd8EDoFebRiSpVBxNTLkpVhlqNoOoHaGtfXq6i5V3VIP2TobHajEV7TsQ4IXbwmcbHr/kLdDX5wZrlHT9Z0jP3yjWnLioXc0BDnqEhT+E5BGNlYLhCMFEL29AFiOmKvI/STCiXp7N91w1SP984sLbNmKAeJIs2acgm1nGOxRw+ndjSy7DJiYb9W3NzmqWVNUdMQlBWnLhs9fWxLjQ+RGyJ0R+F2PkT36zQ0iXgsACe6yOXKSOXqaLqMwyPuxgedXBkiCCd7yl72blXVsT8nzzd6wWLTr3imPF0rOMFBzgAXHnF2zEyNhqkm5b9dOnirqvWnLpoqpglaG1wsWoxxUXnjqCleQwTPsdU1Pdc3lBi3U7DXEdEHaaIvk8S8KDRDu14sTQm5jmsOcbyNIOQmZcB1Dt0RD3oLZ+O+bFAbmT1IH4oVDkJIH4dWCcxHUNaOpxalueK7qw2Xz7vlHI4rIZMuoSBsQn84hEfW3opDg0yDI5yeLl5U152zlWbXrfmp2Ojw8EFm95yXFg61vFHATgAXHH529HoHhDf+/FjN+cKbe9q6+gabWlwcN5q4NPvGMeZPQMgfhlVHiXBIuaSSa1EACSC2wahTUdIgpQlSfvDOk6Sg4eQ+vMcCzexL2U60OsA1ZZNCU6iTbEeI5As5Y2cTP20gpiXoJsChSX5tbBcRL8TYxyZVAVb9wa47oZG3PuEwPBYgPnz544uXdT6rjULf3/zLT/ZJl71mrceN46OdbzgHFwfl1z6Nnz3ezdgWU/Hj+a0NboOWfAVp/b7FsK1AhgQoCBG+pmtHEnpbQ9p/QJJBpzBPkg9qG39ycS0gFE6wj6urXhJGjMD4PXYKEW7NROg3NU25ZnzSWyD1nYIrYcEsdk1JPVCXbEwJP3MlIrImYgbYkVlJggHidoShm9NDlAHpQBIZwo4ZdWqwZaWwocnq86P9g6uxJ9d9rYXGmbG+KMCHADe81+vAgBMjI/cQKjrDB7IfeGxJ/e17R2YhGAuUpTAYzzMt9RCX49FOiZRhCQlNVyhK4wxom1eTmwuA/0BMUtvHpOCCahsnMTtugKqG6YjpVAHvXpAiPVXc+oQYz6pvxBMfx3SOC4vgwLgQVj8tMYpagGDX3Mxp6GKSzYAr71gY//bXr/+76t+7YampsbjB83zGH90gMuRLzRiZGzs3xrnbiQ77hef391/V5uAj4LDkWGAy8LUNNuKYfPSOlxMo+iZ1IaYINammhRGk9jCelC0A09D9Y9pEFtqR69/0/phAtd+kKUlxGofbBBmCXZ1Ay1LDbEvyjh+/J9WWflEqBJ+obJZwdmnNGH9uRf0p5rO/TjA/y2Xb3wed+b5jZMGcABoLBYxOFL+3hWXnl9zmPvVW25/sKn/8CAYFXBp7C0DbD5JlAdvJgegTkUMqWvRk7pgK1gPlkU1pO2A6AdG/UUcsyRHPdCMWBNAAdYEvGkunI7SKDoDc33iUBI+ZulxVKLlrwgEOCeoBRRw5qCp5bxhr3jRxwjYD6gzuxJrL9Q4qQAHgJbGNKqV6o1XXnLO0PCR/sXl8sIv/uqeh1zXCWMI5Y8tXfq6chQW+RUqXtkYtslP/rHEns2fdceIWo4WDZZiUx6icW7rGElQ1wOSbIGrlEibdsBcD+sYhss9SbrLGG/7abIfTKsNDSFxJGEYDktU7RQBglotpJKdC9f5hHh/x/Kv7iUsfQelKZzscdIBDgBeyuMPbt5x+1V/cYn3zPbtU20N9Ft33fd7cniwTDNemDHiB8TsmQhNkmqhnLEtAXWfOuVTglTyy2koTcxW69O/4nPGPN1m4YmSXEUhxYs2mEkknYkR0gqVmCA0Hk7UAeI3m829ZZBJLOE1RVP/fyOyXumd8xDZAQAEAYUfhMkqKddHRRR4oXWtyBSXvL+je9H/nhw5WPWaVp1sWOm39+SPdWcuw+TIweryRR03nrV64cqFS5Z9at68DqScGnLpUNEMeOjSD7vXRe59rjUJlcNWMlEvcdX66AuZDvzWvuZbgCSDnSRfw3RD2Cgz7NJqVbJDR/3V7dX2/nYJt9iBIxODjWslssYMV9WDw09YU4ULiolJF+MTBLlCG3oWdX/KyS5bSb2uGw8+N1LNv0jADbxIJLgcq09bCQClv/vSzTv+UF76hcvXFbzR4YZP9PXtZweHxrB1X5gh5PMwTYoRAo+FgfZMQ7jBsy36obZrXwxJH23Q+be+b51Sqc0n2tOgO4z04wDTWEag6RjyHIpy6Em/8hzCwLfSJ9Xh4vzNWIKbCqZtaVFPjMx+pxwOC4v6CEEQBAAhNew7wjE63oju7u6gjMb/sXLV/i+MH9wSFOecc7IhVDdeVACX44sf+zP88Ec/Da68/IpPHzo85Ozvvfcjv37wV6lnDwGVMsdIlaLKCbIuUECYmCzH9MFKEejURBvUqLPA1CmoBk81j6FbXExDjKb5adqwTZOltNXNeLoJ0fRk6iY/U3GUvFgqnbaySZSLXnf6mMnHAJTrPeX5SHk+goBhZDyDGgf6Rj20z1lXOX/Tef+cLzR/+uH7f4ZzNrzpZMMmcbwoAQ4AV17+VoyMTqChWPpEe8v5dKjaue6xrb+kDqus6xvb7zy5CxgrNSCVY8hCL7hpZftY9AMJy4BFQ0yERseyJbO2Xqcu9v7aOQDLQgLziwSkbtnTk4HtGPA68EbaiNIfNQuLXgWrLstexB3YaFQRC4SAMY5CroTxcgmPPp1FMbuo1tqcfvCv/svFvCRWPri/P/hEaWoCmWz+ZMNl2nEslqyTOu785R2oBqlCY3b4u+2Fx95+013b6FduLoKxJszNC2TcqBgn0wtXwojj1kNrmQqZlWGtZrhsHDNuFvtRceAqHpzE+9eFxoa3uC7sNentoi3HxYjswkVaDXRZs1BbT0hcpzCuL6jNjUJaGdUa9Ua1EFlUn9BhIS1JezU0FScANoDv392MJ/es5W89/5QfL59feM/ohD/+6osuPtmQmNV40Upwe7z24jdgYrh3nOO0v804c3a+zXVO3X6IvPmuew8jxRykHAo7+aFOemMahRDxPExDY2zyLYGpCgmpDzGPRaaRIpIOaNRXHltxcQ4IWm/PjnaPKYmU/JASPubuskempCFEHV/rxMYJOCgIOAKEWThBIJBNcZSd1RiodN/61tdf+NR5p8/7+tBYafzV6xaebDjMerxkJLg+Hn+6F40NuQUPP/bs155+euebt219GkcGRsEFg+OwSNuPJbRRCUpJZj1hgmjLerJDgvS2yibHSRDEKpOmgdv4S4wHJ05aMJfrpLesHptQgVbVjDGkvLCku7wnAnoFAlVtl3IwJkAQoFwRYE4jepYsxdyuhbfmW5Z/kFcn97L0ipP90x/zeEkCHAAOHxmE6zhLtj+7a/Xk5NQ1D23evvG+h7djYmIM+Yxj0A31nzUoiw4gq+agJo1jgBEFbKaVQbbLsukPlLzDxptCcyCp1QngNq8PWnllvSa4PtcqTCrnaQCPs5xii0z8MHO4rIJ8Pod0w2koNK28N53OfL21Y9EWzms7s7mmk/2TH9d4yVAUe3S0twDATiHETgBPjY1X565ateI7W7duX/LEE1vYVLkKQQgYkZVSkymLCS6ipGk4dBseVKparKhq9QgpMTi2zmgMrVI3CWrrBbRKUXEjBVPhnOF+CESJwRGtkWZA0JiSQMSSm4uwXyYFBxcCHB46578imDtvyc5KJfjr7sXn9AHYcTwJ1C+m8dK+em0cODSIIAgW7N69r8tznVtuue23xb6+Azm/PInJClCthU1FPTcsRg+EPzyjAGMEjpLI5nH1YvaMRcXtmVnk3sjDtO2E+hDmG8UeOpdP6v7gsLAIPtML41PzdFJSh8oiVBfq8P8CeG6AlBugXKUYm2RoLGYwZ27HZFfPhWOc1y5rbe86QCjbm0q3nuyf9ISMlw3AAUCELe/o8Mh4w9Pbe19JgP/Z37et9sAT25sf3TJSSDOObEqAMYJaEHpBHQqkXALHCQGst8aGgKIkjEYAZwQO01qVyKqyGr0xryn6G4lpHeCqqpT1iyiOr4FbAtxhAoyFAGc6gAVRHl3Gwr44KZfDdQRqAUG5Gu5bzHHks1UMVLqRK546snLZ/AnPxXta2hc95HqFUSHAKX35wOIlS1GSBgk7AfD9+w8OL1rYdefIyPiy+2+/qfLOd375o613PvKO3b27fCJKK3Jpnu7rH8PuPqAlT5D2CDyXgjGCIOCo+iLq+a67tuO0gdgkSKD359EtNHG1qOQhwS2suSG9iSwfNF5H1bMQl4PQqwYEXKBWowgCgPGoYVc6QGOhjF0HGEp+C1qbnHIm721v7+wUpy58ncdJ8SsTe//vD3I9F4nJyUnelCqe7J/whI+XFcDl6O7uBEIKO/VM7x64rvNFl7EvrjtrFWtuKnyrIVde9uQz2zbsvG2AMbeKdApIuwKZDMNkiWBsyocQoXRnEaBYhDalTEbURtEXTTGUoJXVupIItAoRE2FrDx4hnBISlSAOZ8lzco2LAxFNYWFSiOOEb53xSWBkAnAdDtbowHUFOucwHJjoCpoLa+5f2JndwWvjVxMyHjDmgrGUaFrydhQLL0sYAHiZAlwfyxcvBGJ41cqlgfek0qmm7kWnfW7HwXu88f59weJ5+TMKebY27/bjqV0D2PWMQHvBRTYd9WunVAvHJjEfZ3HXB9lAirHwbJICCR6f3rbogBDwQCDgHEEgIp0gfCsIqsVwI3pwoosILThxE6hMqoZCdgxbd1McGW7H6hWdyBXpY+ns6OPZhh528eveUOWs4x+IKA+3tTSf7J/kjzpe9gC3RzrTCgDDAP4GAB544HcAsJFz/zXtxeHLWuYPL+dZH317euHSGkrlCkrlCnIZBoe6ICSkMo5D4WplkwgFHAdIuaF0LVUIShWBWiBUdzV9EBL1wAUwVQLKlQCUhlTJJURJ9VDSR6AXQMADBLUamBuAUgbHTcPz0liweDFW8ywGR9ueOaWneEsmk/qVEOLe+Ss3AHj/yb7tJ228fLSJ5zmq5UEAeO1Eqbq4d88I/8EPb+Fz2lt6Cg0tf797z350NLsYHR7A0PAwCjkXTQUK12XgnKDiA4BALgM05gVaG31s2wf07ifIpSiyGQeuE95qzkM27zkEuQyQy9Sw80AVz+4VaCoQFLMM2YwDCIGqz1ELODjnaCwwFLIExYZGdHW2obkwhebWLgwMjH2hNDW0+5wNb6Q+aaYBT/UCuLOz46Vptz7R4z+dBJ9ueOkWALhTLu/YcwTpdKpx956DDxLC0NHs+I1rVn7IrwUXpTyCQjbAYN8D2PMcR7VWQ1+/g9YmB8V8CQvmDOCep4Fn9uexvMtFPhsCuhYITJQ4aoFAJkVRzAILOiawf2gc254rYu3iNFJNaXS2M/QNBhCBQBkZvO5Va9Fc9JBNE3BB7xK89NW2xim3e8EKrFrbea+oVUaoe2wtrv+zjD8BfJqxbGE7AIwAuA0ADvUdAgi2V/2ggzHwtFMB8x9BX38Ax61FHQ2Ev/yUtdd2NO6/ZNUK32e0iEVzHXQ0O8ikgarPcWgwQNUH0h7FnFaKeV1TWBaMY+NUs7tmcePP9+7ccm0h57h9QwKEEnCaw6pVK9FYSMF1CBWghwHsbmubc7Jv0Uti/IminMDxXO/vIEA6cs6Oht88WRU7dxcwr81BexNDOhVSjr7+AFWfIOURtDczdHeUsXXfBLb0NpGzV80b5UIcvuS1J6Z9x58G8P8B4t46n+PquMwAAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTY6NTY6NTYrMDA6MDApc/xpAAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE2OjU2OjU2KzAwOjAwWC5E1QAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 21978481
{'hecke_orbit_code': 4503874538832081, 'n': 1, 'trace_an': 18}
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id: 21978482
{'hecke_orbit_code': 4503874538832081, 'n': 2, 'trace_an': 1}
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id: 21978483
{'hecke_orbit_code': 4503874538832081, 'n': 3, 'trace_an': 0}
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id: 21978484
{'hecke_orbit_code': 4503874538832081, 'n': 4, 'trace_an': -9}
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id: 21978485
{'hecke_orbit_code': 4503874538832081, 'n': 5, 'trace_an': 0}
-
id: 21978486
{'hecke_orbit_code': 4503874538832081, 'n': 6, 'trace_an': -3}
-
id: 21978487
{'hecke_orbit_code': 4503874538832081, 'n': 7, 'trace_an': -6}
-
id: 21978488
{'hecke_orbit_code': 4503874538832081, 'n': 8, 'trace_an': 0}
-
id: 21978489
{'hecke_orbit_code': 4503874538832081, 'n': 9, 'trace_an': -11}
-
id: 21978490
{'hecke_orbit_code': 4503874538832081, 'n': 10, 'trace_an': 21}
-
id: 21978491
{'hecke_orbit_code': 4503874538832081, 'n': 11, 'trace_an': -18}
-
id: 21978492
{'hecke_orbit_code': 4503874538832081, 'n': 12, 'trace_an': 16}
-
id: 21978493
{'hecke_orbit_code': 4503874538832081, 'n': 13, 'trace_an': 11}
-
id: 21978494
{'hecke_orbit_code': 4503874538832081, 'n': 14, 'trace_an': 1}
-
id: 21978495
{'hecke_orbit_code': 4503874538832081, 'n': 15, 'trace_an': 7}
-
id: 21978496
{'hecke_orbit_code': 4503874538832081, 'n': 16, 'trace_an': -13}
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id: 21978497
{'hecke_orbit_code': 4503874538832081, 'n': 17, 'trace_an': 6}
-
id: 21978498
{'hecke_orbit_code': 4503874538832081, 'n': 18, 'trace_an': -8}
-
id: 21978499
{'hecke_orbit_code': 4503874538832081, 'n': 19, 'trace_an': 4}
-
id: 21978500
{'hecke_orbit_code': 4503874538832081, 'n': 20, 'trace_an': 4}
-
id: 21978501
{'hecke_orbit_code': 4503874538832081, 'n': 21, 'trace_an': 24}
-
id: 21978502
{'hecke_orbit_code': 4503874538832081, 'n': 22, 'trace_an': -1}
-
id: 21978503
{'hecke_orbit_code': 4503874538832081, 'n': 23, 'trace_an': -1}
-
id: 21978504
{'hecke_orbit_code': 4503874538832081, 'n': 24, 'trace_an': -3}
-
id: 21978505
{'hecke_orbit_code': 4503874538832081, 'n': 25, 'trace_an': -7}
-
id: 21978506
{'hecke_orbit_code': 4503874538832081, 'n': 26, 'trace_an': -4}
-
id: 21978507
{'hecke_orbit_code': 4503874538832081, 'n': 27, 'trace_an': 6}
-
id: 21978508
{'hecke_orbit_code': 4503874538832081, 'n': 28, 'trace_an': -2}
-
id: 21978509
{'hecke_orbit_code': 4503874538832081, 'n': 29, 'trace_an': 13}
-
id: 21978510
{'hecke_orbit_code': 4503874538832081, 'n': 30, 'trace_an': -64}
-
id: 21978511
{'hecke_orbit_code': 4503874538832081, 'n': 31, 'trace_an': -32}
-
id: 21978512
{'hecke_orbit_code': 4503874538832081, 'n': 32, 'trace_an': -14}
-
id: 21978513
{'hecke_orbit_code': 4503874538832081, 'n': 33, 'trace_an': 0}
-
id: 21978514
{'hecke_orbit_code': 4503874538832081, 'n': 34, 'trace_an': 8}
-
id: 21978515
{'hecke_orbit_code': 4503874538832081, 'n': 35, 'trace_an': -12}
-
id: 21978516
{'hecke_orbit_code': 4503874538832081, 'n': 36, 'trace_an': 10}
-
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id: 21978715
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id: 21978716
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id: 21978717
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id: 21978718
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id: 21978719
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id: 21978720
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id: 21978721
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id: 21978722
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id: 21978723
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id: 21978724
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id: 21978725
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id: 21978726
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id: 21978727
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id: 21978728
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id: 21978729
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id: 21978730
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id: 21978731
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id: 21978732
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id: 21978733
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id: 21978734
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id: 21978735
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id: 21978736
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id: 21978737
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id: 21978738
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