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mf_newforms • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 55, 'char_degree': 4, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 50, 'char_orbit_label': 'bx', 'char_order': 10, 'char_parity': 1, 'char_values': [825, 10, [551, 727, 376], [10, 5, 4]], 'cm_discs': [], 'conrey_index': 49, 'dim': 8, 'field_disc': 4000000, 'field_disc_factorization': [[2, 8], [5, 6]], 'field_poly': [1, 0, -1, 0, 1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 20, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, 0, -4, 0, 6, 0, 1, 0, 1]], [13, [14641, 0, -7381, 0, 1401, 0, 19, 0, 1]]], 'hecke_orbit': 2, 'hecke_orbit_code': 4506966915285817, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 4, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 5, 2, 1, 2, 0], 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mf_hecke_cc • Show schema
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-0.1881778447634849, -0.4717047206363514, -0.1951518607942866, -0.36705572022244304], 'char_orbit_index': 50, 'conrey_index': 724, 'dual_conrey_index': 49, 'dual_embedding_index': 2, 'dual_embedding_m': 2, 'embedding_index': 2, 'embedding_m': 8, 'embedding_root_imag': -0.8090169943749475, 'embedding_root_real': 0.5877852522924731, 'hecke_orbit': 2, 'hecke_orbit_code': 4506966915285817, 'label': '825.2.bx.b.724.2', 'level': 825, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 3300, 'analytic_conductor': 6.587658166755632, 'char_conductor': 55, 'char_degree': 4, 'char_is_real': False, 'char_orbit_index': 50, 'char_orbit_label': 'bx', 'char_order': 10, 'char_parity': 1, 'char_values': [825, 10, [551, 727, 376], [10, 5, 4]], 'conrey_index': 49, 'cusp_dim': 432, 'dim': 144, 'eis_dim': 96, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 3367287915321, 'hecke_orbit_dims': [8, 8, 8, 8, 16, 16, 16, 16, 16, 32], 'label': '825.2.bx', 'level': 825, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5, 11], 'level_radical': 165, 'mf_dim': 528, 'mf_new_dim': 144, 'num_forms': 10, 'prim_orbit_index': 10, 'relative_dim': 36, 'sturm_bound': 240, 'trace_bound': 11, 'trace_display': [0, 0, 0, 0], 'traces': [144, 0, 0, 36, 0, -4, 0, 0, 36, 0, 4, 0, 0, 8, 0, 4, 0, 0, 8, 0, 32, 0, 0, 12, 0, 92, 0, 0, 0, 0, 28, 0, 0, 48, 0, -36, 0, 0, 0, 0, -96, 0, 0, -108, 0, -4, 0, 0, 104, 0, -40, 0, 0, -16, 0, -168, 0, 0, -84, 0, -52, 0, 0, 76, 0, -16, 0, 0, -28, 0, 48, 0, 0, 96, 0, 184, 0, 0, 56, 0, -36, 0, 0, -24, 0, 56, 0, 0, -80, 0, 60, 0, 0, -108, 0, -28, 0, 0, -4, 0, -128, 0, 0, -144, 0, -96, 0, 0, -72, 0, 16, 0, 0, 72, 0, -264, 0, 0, -132, 0, 80, 0, 0, -148, 0, 32, 0, 0, 0, 0, -152, 0, 0, -132, 0, 204, 0, 0, 152, 0, -48, 0, 0, -64, 0, -88, 0, 0, 144, 0, 12, 0, 0, -4, 0, -104, 0, 0, -76, 0, -12, 0, 0, 336, 0, -32, 0, 0, 172, 0, -28, 0, 0, -40, 0, 316, 0, 0, 48, 0, 84, 0, 0, 152, 0, 16, 0, 0, 8, 0, 64, 0, 0, 100, 0, -156, 0, 0, 184, 0, -8, 0, 0, -156, 0, -136, 0, 0, -156, 0, -272, 0, 0, -204, 0, -12, 0, 0, -112, 0, -48, 0, 0, -184, 0, 104, 0, 0, -244, 0, -148, 0, 0, -92, 0, 20, 0, 0, -88, 0, 160, 0, 0, 248, 0, -200, 0, 0, -76, 0, 44, 0, 0, -56, 0, 412, 0, 0, 188, 0, 0, 0, 0, 200, 0, 372, 0, 0, 148, 0, -160, 0, 0, -592, 0, 56, 0, 0, 32, 0, 180, 0, 0, 168, 0, -80, 0, 0, 96, 0, 72, 0, 0, 72, 0, 304, 0, 0, -44, 0, 28, 0, 0, -356, 0, -8, 0, 0, 224, 0, -160, 0, 0, 448, 0, -196, 0, 0, -48, 0, 184, 0, 0, 36, 0, 176, 0, 0, 312, 0, -128, 0, 0, -88, 0, 120, 0, 0, 8, 0, 148, 0, 0, 472, 0, -312, 0, 0, 92, 0, 80, 0, 0, 64, 0, -140, 0, 0, 120, 0, 124, 0, 0, -152, 0, 112, 0, 0, -84, 0, -24, 0, 0, 168, 0, 100, 0, 0, 64, 0, 0, 0, 0, -240, 0, 560, 0, 0, -420, 0, -152, 0, 0, 124, 0, -152, 0, 0, -232, 0, -284, 0, 0, -368, 0, -608, 0, 0, -164, 0, -72, 0, 0, 24, 0, -64, 0, 0, -568, 0, 84, 0, 0, 40, 0, -48, 0, 0, -136, 0, -216, 0, 0, -232, 0, -240, 0, 0, -336, 0, 176, 0, 0, 248, 0, -520, 0, 0, 152, 0, -92, 0, 0, -436, 0, -24, 0, 0, 40, 0, -440, 0, 0, -24, 0, 28, 0, 0, 116, 0, -64, 0, 0, 688, 0, -752, 0, 0, -444, 0, 132, 0, 0, 452, 0, -4, 0, 0, 176, 0, 344, 0, 0, 1080, 0, -800, 0, 0, 308, 0, -124, 0, 0, -132, 0, 60, 0, 0, 520, 0, 36, 0, 0, -180, 0, 608, 0, 0, 60, 0, -120, 0, 0, 244, 0, -264, 0, 0, 264, 0, 84, 0, 0, -176, 0, 568, 0, 0, -112, 0, 252, 0, 0, 552, 0, 324, 0, 0, -88, 0, 664, 0, 0, -328, 0, 984, 0, 0, -108, 0, 232, 0, 0, -324, 0, 656, 0, 0, -244, 0, 288, 0, 0, -572, 0, 24, 0, 0, 0, 0, 548, 0, 0, -1368, 0, 296, 0, 0, -108, 0, -36, 0, 0, -64, 0, 184, 0, 0, 188, 0, 284, 0, 0, 616, 0, -192, 0, 0, -44, 0, 324, 0, 0, 344, 0, 20, 0, 0, 300, 0, -32, 0, 0, 392, 0, -120, 0, 0, 336, 0, -224, 0, 0, -636, 0, 448, 0, 0, 192, 0, 120, 0, 0, 72, 0, -28, 0, 0, 28, 0, 184, 0, 0, 440, 0, 28, 0, 0, -320, 0, -88, 0, 0, 196, 0, 84, 0, 0, -8, 0, -460, 0, 0, 408, 0, 264, 0, 0, -100, 0, -104, 0, 0, 56, 0, 84, 0, 0, 144, 0, -548, 0, 0, 600, 0, 24, 0, 0, -4, 0, 556, 0, 0, 208, 0, -128, 0, 0, -64, 0, 4, 0, 0, -96, 0, -88, 0, 0, -144, 0, -388, 0, 0, -32, 0, -8, 0, 0, 36, 0, -720, 0, 0, -644, 0, -1048, 0, 0, 132, 0, -136, 0, 0, -24, 0, -680, 0, 0, -312, 0, -136, 0, 0, -920, 0, 24, 0, 0, -32, 0, -32, 0, 0, -520, 0, -340, 0, 0, 216, 0, -128, 0, 0, 84, 0, -216, 0, 0, 400, 0, 28, 0, 0, -328, 0, -384, 0, 0, -68, 0, -176, 0, 0, 108, 0, -564, 0, 0, -556, 0, 0, 0, 0, 640, 0, 68, 0, 0, 472, 0, 220, 0, 0, -116, 0, -104, 0, 0, 40, 0, -168, 0, 0, -1184, 0, -256, 0, 0, 252, 0, 56, 0, 0, -200, 0, -776, 0, 0, 288, 0, -524, 0, 0, 0, 0, -72, 0, 0, -304, 0, -232, 0, 0, 452, 0, 700, 0, 0, -128, 0, -152, 0, 0, 28, 0, -300, 0, 0, -300, 0, 516, 0, 0, -572, 0, 168, 0, 0, -232, 0, 24, 0, 0, -316, 0, 428, 0, 0, -52, 0, 24, 0, 0, -592, 0, 612, 0, 0, -292, 0, -368, 0, 0, -128, 0, -180, 0, 0, -152, 0, -568, 0, 0, -256, 0, -24, 0, 0, -180, 0, -152, 0, 0, 156, 0, 100, 0, 0, -532, 0, -328, 0, 0, -64, 0, -256, 0, 0, 120, 0, -40, 0, 0, 100, 0, -188, 0, 0, -28, 0, 116, 0, 0, 96, 0, -816, 0, 0, 144, 0, 368, 0, 0, 612, 0, 160, 0, 0, 224, 0, -208, 0, 0, 1248, 0, 224, 0, 0, -372, 0, 32, 0, 0, -120, 0, -596, 0, 0, 328, 0, -208, 0, 0, 856, 0, 152, 0, 0, -16, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 39583128
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 724, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.724.2', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 39583129
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 31, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461409, 'target_is_minimal': True, 'target_label': '33.2.e.a.31.1', 'target_level': 33, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '5.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 39583130
{'conductor': 5, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 526, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518891523605305, 'target_is_minimal': False, 'target_label': '825.2.n.f.526.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '5.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 39583131
{'conductor': 5, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 724, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.724.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '5.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 39583132
{'conductor': 11, 'degree': 4, 'order': 5, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.49.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '11.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 39583133
{'conductor': 15, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 64, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308707, 'target_is_minimal': False, 'target_label': '99.2.f.b.64.1', 'target_level': 99, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '15.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 39583134
{'conductor': 20, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 97, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519647437849104, 'target_is_minimal': False, 'target_label': '528.2.y.f.97.1', 'target_level': 528, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '20.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 39583135
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.757.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 39583136
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 757, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.757.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 39583137
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 460, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.460.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.22', 'twisting_conrey_index': 22, 'weight': 2}
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id: 39583138
{'conductor': 45, 'degree': 4, 'order': 12, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 460, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.460.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '45.32', 'twisting_conrey_index': 32, 'weight': 2}
-
id: 39583139
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202731, 'target_is_minimal': False, 'target_label': '363.2.e.c.124.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.2', 'twisting_conrey_index': 2, 'weight': 2}
-
id: 39583140
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 18014398543036779, 'target_is_minimal': False, 'target_label': '363.2.a.e.1.2', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.7', 'twisting_conrey_index': 7, 'weight': 2}
-
id: 39583141
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 148, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796203, 'target_is_minimal': False, 'target_label': '363.2.e.j.148.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.17', 'twisting_conrey_index': 17, 'weight': 2}
-
id: 39583142
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 211669182519976819, 'target_is_minimal': False, 'target_label': '9075.2.a.bv.1.1', 'target_level': 9075, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.18', 'twisting_conrey_index': 18, 'weight': 2}
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id: 39583143
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 16, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 274911461409, 'target_is_minimal': True, 'target_label': '33.2.e.a.16.1', 'target_level': 33, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 39583144
{'conductor': 55, 'degree': 2, 'order': 4, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 130, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532671557796203, 'target_is_minimal': False, 'target_label': '363.2.e.j.130.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.32', 'twisting_conrey_index': 32, 'weight': 2}
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id: 39583145
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525197425148267, 'target_is_minimal': False, 'target_label': '363.2.a.h.1.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.37', 'twisting_conrey_index': 37, 'weight': 2}
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id: 39583146
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 676, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22518891523605305, 'target_is_minimal': False, 'target_label': '825.2.n.f.676.1', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.38', 'twisting_conrey_index': 38, 'weight': 2}
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id: 39583147
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 124, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055211, 'target_is_minimal': False, 'target_label': '363.2.e.h.124.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.42', 'twisting_conrey_index': 42, 'weight': 2}
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id: 39583148
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 202, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 31525472303055211, 'target_is_minimal': False, 'target_label': '363.2.e.h.202.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 39583149
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 103582791463084915, 'target_is_minimal': False, 'target_label': '9075.2.a.x.1.2', 'target_level': 9075, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.48', 'twisting_conrey_index': 48, 'weight': 2}
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id: 39583150
{'conductor': 55, 'degree': 4, 'order': 10, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 49, 'target_dim': 8, 'target_embedding_index': 2, 'target_hecke_orbit_code': 4506966915285817, 'target_is_minimal': False, 'target_label': '825.2.bx.b.49.2', 'target_level': 825, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.49', 'twisting_conrey_index': 49, 'weight': 2}
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id: 39583151
{'conductor': 55, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 202, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 9007474166202731, 'target_is_minimal': False, 'target_label': '363.2.e.c.202.1', 'target_level': 363, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '55.52', 'twisting_conrey_index': 52, 'weight': 2}
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id: 39583152
{'conductor': 165, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 81064793326224449, 'target_is_minimal': False, 'target_label': '1089.2.a.s.1.1', 'target_level': 1089, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.62', 'twisting_conrey_index': 62, 'weight': 2}
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id: 39583153
{'conductor': 165, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 54043195562001473, 'target_is_minimal': False, 'target_label': '1089.2.a.m.1.2', 'target_level': 1089, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.92', 'twisting_conrey_index': 92, 'weight': 2}
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id: 39583154
{'conductor': 165, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 82, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 4503943258308707, 'target_is_minimal': False, 'target_label': '99.2.f.b.82.1', 'target_level': 99, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '165.137', 'twisting_conrey_index': 137, 'weight': 2}
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id: 39583155
{'conductor': 220, 'degree': 8, 'order': 20, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 171136785873639088, 'target_is_minimal': False, 'target_label': '5808.2.a.bm.1.1', 'target_level': 5808, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '220.7', 'twisting_conrey_index': 7, 'weight': 2}
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id: 39583156
{'conductor': 220, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 49, 'target_dim': 4, 'target_embedding_index': 1, 'target_hecke_orbit_code': 22519647437849104, 'target_is_minimal': False, 'target_label': '528.2.y.f.49.1', 'target_level': 528, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '220.27', 'twisting_conrey_index': 27, 'weight': 2}
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id: 39583157
{'conductor': 220, 'degree': 8, 'order': 20, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 166633186246268592, 'target_is_minimal': False, 'target_label': '5808.2.a.bl.1.1', 'target_level': 5808, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '220.147', 'twisting_conrey_index': 147, 'weight': 2}
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id: 39583158
{'conductor': 495, 'degree': 16, 'order': 60, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 676, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.676.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.137', 'twisting_conrey_index': 137, 'weight': 2}
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id: 39583159
{'conductor': 495, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 379, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.379.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.247', 'twisting_conrey_index': 247, 'weight': 2}
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id: 39583160
{'conductor': 495, 'degree': 16, 'order': 60, 'parity': 1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 379, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 893386752891, 'target_is_minimal': False, 'target_label': '891.2.n.a.379.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.302', 'twisting_conrey_index': 302, 'weight': 2}
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id: 39583161
{'conductor': 495, 'degree': 16, 'order': 60, 'parity': -1, 'source_conrey_index': 724, 'source_dim': 8, 'source_embedding_index': 2, 'source_hecke_orbit_code': 4506966915285817, 'source_is_minimal': False, 'source_label': '825.2.bx.b.724.2', 'source_level': 825, 'target_conrey_index': 676, 'target_dim': 8, 'target_embedding_index': 1, 'target_hecke_orbit_code': 13511692268864379, 'target_is_minimal': False, 'target_label': '891.2.n.d.676.1', 'target_level': 891, 'twist_class_label': '33.2.e.a.16.1', 'twist_class_level': 33, 'twisting_char_label': '495.412', 'twisting_conrey_index': 412, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 1377225
{'charpoly_factorization': [[[1, 0, -4, 0, 6, 0, 1, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 2}
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id: 1377226
{'charpoly_factorization': [[[1, 0, -1, 0, 1, 0, -1, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 3}
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id: 1377227
{'charpoly_factorization': [[[0, 1], 8]], 'hecke_orbit_code': 4506966915285817, 'p': 5}
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id: 1377228
{'charpoly_factorization': [[[6561, 0, -729, 0, 81, 0, -9, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 7}
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id: 1377229
{'charpoly_factorization': [[[121, -99, 41, -9, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 11}
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id: 1377230
{'charpoly_factorization': [[[14641, 0, -7381, 0, 1401, 0, 19, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 13}
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id: 1377231
{'charpoly_factorization': [[[1, 0, 1, 0, 6, 0, -4, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 17}
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id: 1377232
{'charpoly_factorization': [[[25, -25, 40, -10, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 19}
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id: 1377233
{'charpoly_factorization': [[[361, 0, 42, 0, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 23}
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id: 1377234
{'charpoly_factorization': [[[400, -200, 60, -10, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 29}
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id: 1377235
{'charpoly_factorization': [[[121, -77, 34, -8, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 31}
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id: 1377236
{'charpoly_factorization': [[[1, 0, 11, 0, 321, 0, -29, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 37}
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id: 1377237
{'charpoly_factorization': [[[5041, -1207, 249, -23, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 41}
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id: 1377238
{'charpoly_factorization': [[[121, 0, 42, 0, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 43}
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id: 1377239
{'charpoly_factorization': [[[1, 0, -4, 0, 6, 0, 1, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 47}
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id: 1377240
{'charpoly_factorization': [[[25411681, 0, -156271, 0, 6486, 0, -116, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 53}
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id: 1377241
{'charpoly_factorization': [[[3025, -825, 190, -20, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 59}
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id: 1377242
{'charpoly_factorization': [[[81, 108, 54, -3, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 61}
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id: 1377243
{'charpoly_factorization': [[[10201, 0, 203, 0, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 67}
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id: 1377244
{'charpoly_factorization': [[[6561, 1458, 324, 27, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 71}
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id: 1377245
{'charpoly_factorization': [[[256, 0, -256, 0, 96, 0, 4, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 73}
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id: 1377246
{'charpoly_factorization': [[[25, -75, 85, 5, 1], 2]], 'hecke_orbit_code': 4506966915285817, 'p': 79}
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id: 1377247
{'charpoly_factorization': [[[6561, 0, -21141, 0, 26001, 0, 99, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 83}
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id: 1377248
{'charpoly_factorization': [[[5, 10, 1], 4]], 'hecke_orbit_code': 4506966915285817, 'p': 89}
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id: 1377249
{'charpoly_factorization': [[[1982119441, 0, -10863124, 0, 45366, 0, -179, 0, 1], 1]], 'hecke_orbit_code': 4506966915285817, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 50, 'hecke_orbit': 2, 'label': '825.2.bx.b', 'level': 825, 'portrait': 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tmJhKV2QLsvGMQeyz3BhgnDYstw8oKi4vlsmIYtcyHrZwasmxmyYWbIlvWWbRsUl2/1qKo6x042efh5nycPxjx7IiJRHb7t1hbvfrWlqmY4eGKSY2c1Zy4mnE/BfXjBcuOV8/zM+5fZOjvB2YuTXFyusNjyWGpJWp2EdjehO4CDxxc5dLp1+bNH5l976PT8jqNn5u+4+VveGz5wx5++3JD4pm5/qxl8canFILRoxS8+/PSRV//Mb35WvvOVh1/9L959Wi+uzLHUbrK4UmOx5bPY0iy2YKmVsNSKWFxJOL8CRxYFc7Mr/Nz3LfLKvTVOXZjm7MU6Zxc0FxYt5xdiTs8nXOzETE4PeM3VXV51GfiySqACLixVOLegOb8k6A0hjg0V31CvJExNxBjgxPmYdhe2r/eoV4dYK0D4dPuGbRuGLK5osE6KrHRhGIPFstQK2bzOo9NXCGURZkiz4rFt44CVnuDEWU1iNDNNSaMiCDyIY0FvKDm/JDm3aLmwHBMEA/Bibr6iy6uvFMw1qywuNzl1IeDsAlxYiLmwFHNmCY4sWm64YoGf/75lNkw2OXl+mvOLVeaXfRZakqWVhOV2xHI7YaljWOhITrdhebnLr/7LMH7vbY0H6+v+kQmalz4oRfLTiQ3wg+bLDZWXvP2tZfDf++ineM0t1/Ov/tW/+oU//NTd//JDf/zV3ftPtnYcPNORt17V5pJNhiTRWKuw1rE3VgISEAhh0cLiSzi7WOXRw5Krdy1x2dYBtQp4WuJ7Ct/X1KuSmifpdT0OHK9w15M+Jy4OaccRB04NWT+zxDtes8zVuzvccFmL4wsxCz1BLRhw9Kyl1a5z1SWSlUHCvuOKRk3zwgnYs8kyCBMGiY/WEVMN2H8qQOkET8ZoD/pDySsv69HvSa7endDuJ5w422DnBkW9FrIytKyb7LHcbfOJu+HpYwnPHhuwfdMi11zaZmo65O03d/jO11l2bWiQRJMcOzPBkdMep84bTl+MOH0x4chFwcmViFfsnefnvq/D+slJTp2f5sJijfkVn8WWZLmV0OpErHQTlruWpa7gQk+x1I658fJ5fuzbL8qqNjsW54/vHA7Dm/z67mqlOvWVpx/5LL/9wT95uSGz5u1vJYP/6Sf/jJuv26Fu/+qL/+Hw8fP/7onnTqiLyyFLQ83ZnuHq7Rf41R+d59pdNS4sTrHYqrHUqrDU8lhqa5Y7sNxKWG7HLHViFlpwalmgqwNuuXKJ73pdyM51dVa6TS4uVZlf8lloCZZaTiIsdwztvqE9tPQGMTPNiG3rDSAIPMvpix5CBmxfp9i5ybJpXY8Ly0OeOdTg+j2WWnWZ5w9P06iHhKHHzJShP4DLtw34o7snuXRrzHBomZ2QREmfRiXgheMDql6da/fGPHs05MKiz+aZgJ0bYduGEKUiTi+A71mEsGxfHzPVkHT6Ad2eR7vnsdRWLK3AYsuw1EpYaCWcb8HiIGHb5i7f9foFbrlMU/GanFtosrBcYWFFs9QWLLcMK52I5U7CStey2IXzHcWFlZhXXnqeD/zoIrs311lsNWl3AnrDJrKyO/EqG3/hQu/yn5/0TyS3vemdLzd0Vt3+VgH84IGDVCqV6tlzp7c9+9yL7zty7Mx/evHAKfqRpDuAlb7gYk9xthNzwyXn+S8/usQ1l1S5uDzF4kqN5XaFpbbHcluz3IZWx7DSiVnuxCy1LRdagrNdC6LLu29t8fZXGi7ZWCEMayy3Kqx0fVodxXJX0OkJBkNLGFuSBJS0BB5UA8tk07JuOkJ7A46cC3nucICJ67z1phDtrfDEvgl2bIQvPhpz61UBF1t9KloRJxHTUxBHHtqLWVys8Zrr2nzxoQY7N8Ljh4Z41HjLKw2x6PPckYRjpyto6bN+SjNVF1QDge8LlIDYQBhZBiF0epaVrqHTM6z0DItdSz9J2L6lx9tf1eLdrw7BNFhcmeDiUtXp7bZmuQUrnYRWN2YlBfdSD861FfPthBv2XuADP3qRK7ZXmV+eZKVTo93zaXc9VtoCVdlKUN3w77dsv/RPt27ZcnI4HPR379n7ckMpv/2tAfiRw4eZnZvzjxw+/ANHjhz6raefeVYsLnVkp5/Q7Rs6A0unLxzI+5JznYhX7r7IL//QItftrrCwMsniSp3ldsBKx2e5o1npCFodS6ubsNKJaXUNy13LxY7gXMswNdnjW27ocPNlMdvXK5pVj3anQuBJQBHGEmMExkJvAAjDVGPAoTMWY0PufLzOsFdl92afW67uEZkV7ntykmv3eBw636W13ORVV/f4yhMB66ct+05Y/um72uw7HrB+WnLXk4pbLlcs9docPTXNtXtD7nuuTzyscfMVPru2DujHXb78hIJEcOS0plnTaAG9vsRYQWIsUQxIg/YNra6l3ojYunHIqy/v8S3Xx8zUK1xYmmBxpcpy2x2b5bag1YVWJ6bVjWl1E1o9y1JPcr4jWOjE3HTpPL/wQ/Ncs7PC/MqEA3c3oN3z6PQ07Z5mpQNRUjGXXX613bVr949fsmv37y8szIe7d+95uSEF/C0BeBRFMgr773j84S/tXlqJP/DoY094iYFhZOn1E3qDhO7A0E1B3kpBfrYVc/PlF/nFH5rn+l0+K+0J5pcbtLoVVjo+K11Nq6No9aDTtbR7sXMH+oZWzzLfFcx3IUqGXLOnz4bphG7P8rZXDdmxwRAnEi0tYQT3PlPh5MUKG6dinj9SAVPjsi2K6y41BJUeTxzqMb9Q58oddZqTyzz0rMeNeyos9lZYXm6yYYPl0X2Kf/iGLo/t02xZ57HQbbG8NM11l/d46PmE6eokV+7ucrHV4tEXJ6nqOjdcatm7bQCyyzPHBOumIy7MR9z3jMcgUkgJibHs2BjyLa8K6XQVm6YM1+2BMKyx1Kqx1ApY6Xq0e4pWV9LuQrvnnJJOL6HdM6z0LEt9yZm2oNUfcsveeX7+B5e5YY+7OFqdKu1eQCcDd1/R7Uu6fUG3nxBGhmuvuyEaRvLfvPc733G4Xqt+3vM883Jj62XPZEZhF5P0vu/MiSd+deHCwenTZ5eZaEiGoQsUXSY+uzkLUAiLlBYpNY8dXM9Pf1jzrluW+O43LLFzc8j5xSaBX6Ua+NQCj3pV06lKGn2Pibp2F0w/Yf3Q0B9aOoOApfkKp09Zwthw5nxMEFhA4CuLloJeXyHwiHuaV+wQ7Npk2ba5xzDp8KXHFPsPT/Hm6wOuu3yZj37J4osaOzb3ePYhxeZJxWyzR0VVCSOPix2oVzRb1gue3h9y3d4qr7t2gT+4vY/vNXjTTRYv6PHVR0O++EidF49VuWRTjR0bE+amQnbORly1I0Epg1YWsNSCgLnJgDDy6PR8nj/k0R1oen1FdyDp9qE7sHR77ru7ldHS7ltW+jDfU1xYttQmWvzEW+f5324Zcs0ldc4tNGl1K3QycPcV3b6iN5D0hoJ+aAljGIaGe+9/xKvUpn91dm790m2vvelftDq9P5ho1F5WfL2sAI/CLgJ+8MLJB3/xxIG7p4e9LvVKgBQSJQUIQdnoEQKkcJ00SlqUTPCl5NlDczx1sM6hsxd516u7vPqKAZONJkutGvV2hWbfp9vT7uQMJP2BpjfUDIaWQWgII0sUWeLE3cPYxxqQSuBpQcUXTDYEUw3YMGvYsr7H7FSLO56A+5/ykGaCN1/v8YrLOjzwYkQ4aHLLKwStfp+Li3Vu3muYnexR1QGDWDHfjlBG8Iq9mlpjyJMHKrz2ugledU2HJw8osBNcf4XPP/62Jb7ydMhdj9XZd7LCtjnFhukqU40aEw2oBuBpi5JgLOw7JkgSQRQLB7oI9x2HCf2hYTA09AaG3tDQ7UN7CPNdycUODM2AN167xDte3eIfvMkQx03OL9Rpdyt0+j7dvke3r+j0Fb2BoDcQ9IeWwcDQHyYMQ0O3bzhz8RxnPn7HdKdv/u/veMdrdbvT+3DzZQT5ywbwcLiIIPnHS+fu+cWLp+5aJ0yfRi1AygSRYVtIBAIhFEIIpCQFNyhl0criKUPVEyz0qnz87i189ak2t161wvvfuMJVO7vMTNZYXKnR6Qf0+l4KbOXuoWAYSaJYEMduqc9WDCUtWkPFh1rVMN2I2LyuR0yXQ2ciPnFfhaOn6kwGVW68QnPz1W0ePdjizoeb3LSnwraNPf7oboESAc1GxEp3iLGgBMw1e7Q7Piau8o5bL/LxL9bYdaHC22/qEUaL3PfcDFFS4ZVXrOPtN7bZs7XFV5/s8eypGs8c89kyLZluCmqBwPfcRej4wGIsGGOJ4vRijSzDyF3IgxD6IXQGguWhYKkDQg+49tIV3v8tK9x6RcJMs8pyu0arU6XTC+gOPLr9YiXoDSX9AfTSCycD+CB0wW5iNWcvtvjIn9y1rhvyi+/79lfbsxeWf2/T+qn/bwC8d+ZXWe5voXX2898fRd0PtBefnRWmRaVSwZCkABMpwEEIiRACISRKaqRMUEqky7PBU5ZAW6pasDxQLLam+OS9dR55vsst16zw/jetcO2uFjNJlTgO6A0qdPse/aEmjBRRLIkTSWIExgqXBRWWwDfUKjGBH+J7Q84sDrn9ccnh0z7HTk+hTMCujT6X71Rcf1kbFczz3JEGmydrXHkJbJhbZqnd5KrNkthY7ngsYNiTTNZj3vLKAZ+/L+Lk+QaX7vY4tzLghaMeW9dPcc3OeR54tsNDLwiGoc9lO6e5bGvAZVs6HDm3xOEz8Nj+GoeO1qlpQaAl9cBS8UBKF1RZ6y7WOIEwhjARdIeC9kDQjiA0McYOuGFPm/d/S5tbr0rYOB0wGEyw2KrQ6QZ0Bz69vqY7UPQGiv5Q0B9I+kPXNzoYJs7jHxoGQ0s/NDnII6NYuNDiI5+4e92hYxc+MDFRi3/tg5/76BOHV/joL33v31+A/18f+AjVTR9n6eDb/oGJjv/6sH1qUlpJxfcRxJACzEkRhRA4tpYCpQRaqfTRoFWCpwW+NvieJfAsNT9hsiLoDD2W21N8+v4mdz8zYP1Uj/e9vsVlWwcM+l2u3GnZukExjDySpEjzCyxSGjydcOKC5dh5wUrf8LkHapxZmMKGHlMVxaYZzfYNmks2w5W72hi5wAc/X2dpaYKbLtNcuavFV58RiNhj3ZSkXovpRT7SSrASpX1aA8GFJcEVtsbrr+/w4JNVNs363HTlNP/o2xb4/S92eOxAne7AY3Glwc5NVS7d2OOVezt8x2s7nF1a4nMPBCz2Ak6c8zhzxsdTAindqmesJTEQGUsSG6ZmIq6+osdwGHHZ1iHvef2QdROK6UZAFFU4N1+h1/fpDd0q18+BLR24h4LBELcSDBMGoWEYJk4CRTYFOfQjQT8SRFZz7FybA599ZPayXZt+/ZZrN0Yf/aVdf3z+6K+x4ZJ//vcP4D/5S5/gPa/+VvEDPy3eO1d7/kPvu/np2pWX+HT7FQbSaWvSZVakr4W0KKmQUqKkRCuBVumjFng6wdcC3zNUPEs1stRCy0QlYaoq6IWSTljn2Ok6v/zH02BiRBxz/dU9dm4IiWMw1mCtS+JIIZBKoD2fAyd99h2uUK9oGr5ktiaYm5Gsm9ZsmlNs35hw6fYVErHIb3ymyYmTk9y01+OyHQn9uMPDzwVMVj1mJiyTjZBa1UkhYyStgWKpa1lsJbS6VV5z5QqP7+ux/6RislnhlVdM8kPvWOQ3PwtPHq7T7VtWOpoLS002zNZYNzVg+8yAf/XeHs1ai2ePwYFTEs+zKGURwgDW/c9CHMOODQm3XBWTRB5RHGBtjUHocX7Bpz90K9ogVLl864eCwVAwCB1rD0OXlR0ODcPQMIhM+p7NmTsDdycStCNBK4KoH9FbeXryzdec+dB/PjMf95N/8skLRxp2/a4f+vsD8P/0a3/C3q0N9Sdf/bN3nzh58aN/8MhC5dl9dT7woytcui1Cq4S+DBDSIIWPlBYlNUpZF0wqleptiaed5vQ9xdCTDENDECYMI0s1MgwjQxhamjEMI8MwhjAWDCLJMAmIkgr7D9d5Zj8k1uKg7bSxJ8FXruajEcCVG6FZhYm6ZKqhmJnUrJuGbRuGbJxbIbJL/MZnJjhydILrLlFcskWya8sy97wQc2Fxgut3SqaahorfJ5ABVgniRCKsJU5ClrsVLix6XHdZlVfs7fDAkxXWTwlqlQbX7TX8xLsX+fXPGl4402Cla1jpKOaXNbOTdaaaVaaaEzRrEXP1iO3XhQRejKdjlEocYQAWd1FFkeLivCaKFVGsCCPFMEofQ8kwkgxDySB0DtYwwsUooWUYuuM6DBPCMNX0kXt/EMIgEgwi6EWCTihYiSSdMMEMBrxixxL/+Yfnue2ys7XWcvDRSHzMDMyezxx74WPJziv/5uXK3zjAf+IXP8G8qagzzy+858yJc3/wxAsnKqpW547H5vC15ed/eIXLNydolSClceBWxt2lA7inLJ5WeNrihRLfE+4keIKhrwgjB/QosoRx4lyRuHRPIE4sSWJIDE5vG3JwZ1JIS/A8CLSgEghqgaReU0zUJFMTgnXTMds39GjUV/jMgyH3PTfNykKTq7cptm/02LN1QCJWuOOxGnVPMzelaNQGPHcEXjyquWqrpTdUXLMn4updlvPnEuaXffqDGm+9scPXnu1z6IyiXpUEfpOrLjH8/Pcvcu8LfT5/7yyLbcv2dQnLLc1kUzFR92jUPOpVSyUwBL4h0Ala2fRYunNgLS5hZQSxkcSJII4FUSwJY0EUSYaRc17CSBBGljCEYeT87bBEHMOofHfg7qfgbkeSVgS9YYSMe1y3Y5mf/aFF3nojrLSb9LqHK4lX/djEZPK/Nxq1Ty2d+J1kevuP/t0G+KQyst9tfff+w2d++8D+45VmxSOJBF3b4C8eEoRDxXtua/PeN3SYasZ0eglaBqnOdnrY0xov0gRaMfAc0ww9SegLwki4kxMpohjCSDoHIS5svzgxJIlzFxKbOiWpW5K5M0o62eNrQeBLKoGkXhU0a5bJhmH99JC5qQ6xXeGTX5P8/hdnWFepcPU2wbaNHjs2GbZvXOYzD1uWlipctkEx1YRGLeLCccnF5QB/JwwjwdyEZHISDh2zLLcN5xcq7NlR4Q3Xd7j9/gozDQh8HyUnuWqX4IfffhFPXuQvHpjixTMV1rcj1k3GTNQVjaqiVpVUA03gQ+CB1s5hkgKkKIEcd2EnBpJEECekQIcocX52FCWOFCJDmD1GJrUdM1cmtSBjJ0m6kaAdSzqRIRyETARtvuuti7z39V3eeC20uw0GkU9iA6LuwcrQCz+UJDs1wv8THM/83QT4h//HZ4kT8/133n/kv5w8fKpZ8xWxtTQMGE8zoM4dj0sefqHCueVF/um7e0w1Y4ZBRLtXQWsfT3t42sMPE0JP44dOmoSRS6U7xhGOiVJWimOIEkgS5yQY4wIuY2zWw5mC2wHcBa4CTzuAVAKoVQyNasxkI2Zuss/s1AoP7g/52J1VDhybZMeEx64NsGWDz5b1cOm2Nr24zaP7mlSVx9yUYrIBk40hUxMxvq/zxFV/6LPUjljpWVrdmIvLPts2NHjVZRe587EeB840qQURnvIRYoJdmxXf+6YFbrj0Ih+7s8Gjz0+y2NWsa8ZM1mJqFUm1ogg8QeBJPM/FKkqR2ocO5RbXw2oMOdDjxKSrW2otxoY4ceCOIwhjW9wj58oMYkcqvUjQjgWdGAaDGBP3mal2+PHvXOT/+p4etcCj3a4xCCsMQ584VhgjWZo/1VSV4De8xvX+/mf+/Pcve8X/9ncP4AtLLZRSP/jbv/fpXzxz6vTMRFWQWEuYFJq3JRQ9VWdloPkvf+qx78gy73htj9df22X9bEinXaWvfXzPJ/A9hqEm8J29lwE8iiRh7JbdKE497YTU+iNlbomxFOB2ScqUuUErlzDxPUvFN1QrMY1KzFRzyMbZNhdaPX7rcx53PD7N0nKd3XOCbesEm9f5bFkn2LlpgPZX+Ph9mqOn6uxdL5lqSCbqCVIOOTNvCbRECrBWEEaa7evaPEZCu6dYblsuLFXZu6XCd7y+xae+6nP8QoCnI4TwMLZOFEuu37nM9u9pc8eTPf7ojmmeOF5n85Rgtp5QryRUfEHgCXzPxSpa4QJnKfKaDIu7yIzFOS2JA3wG8jhxks6BHcLE1bqEWfIoFvRj6MSSTgz90JD0hmyZ7fC665Z552t7vO1GgxZVllaqhJHPMPQJI00Ua+JYuvPUOT8zF7Q+sPea71ThsPVhP/ibmbj1NwLw5eUWvu/9o89/6b5ffOKpF9a5bJsgNja1/dxrJQV+LOiICq1Q8/F7Ktz7bIfrLmvzPW/q8fabWsxMBvQHAf2hT+B5hLGXHiwH8jhWRIl0By4RxLEkSQSJEYXWNoJcldgsI+qSRSpNFvmeIfATqkFMozpkdrJLP+rz1ecsn7hngkefn2TK97hqs2XjtGT9jM+mOcmW9SGXbF7m2eN9Pve1OSaUZm5C0KwLmrWIVi/hiw9XaPjO/jQW+kPNO24Z8oVHXE1Mq2u4uKzZsq7Bu17d5dH9HfYd8qkHMUoKB3JTYxA6rf+9b2ixd+NFPn5vm4denOTkcpUNTcFExVLzDRVt8D3QSqAkaYIsTZ6lUDepVDOmWOHiFOiOICBKBFGSAjsRDGJBLxZ0E5eaj8KQerXHu968xHe/qc31exPWT3n0B3XaXT8FtztnUaQI0wA3O1fnT+9bp4OHfnHH3teaXrf9kVr9r79x4q8V4O1WiwuLbazl++646/5f+cKXvjLTa69QCxRxWvWmpEUJx+BagC8hkNCRHj1PcbodcPaRGo881+VTV3d4zxv6vOWWAdOTPuEwYBh7hJFHFGuiFOhxooiTNGGTFAA3NmVuU9SUCWHToNLVcWht8L2EwI+oBiGNap+EPl95UvLHd0/y/LEJRBSwY8qycdIyO6mYm/bZMCvZNBexbUObU/MdfufzdeJhlS1bBJMNTbMOzVqE8ELa/TqTDYsQAmshiiXTgSI2MZ3Ip9NLWG4rzsxXueKSBj/y7St84E8CTszX0SpKLwxNHFcYhJINMwHX725z9SVdXjhxhk/cU+XOJyY526pSDxQNH+qexdcWT4GWjliEGK2uM4A17qJLjCCxECfC+eeJIExckqifCPoJ9GNLHMeYaMhMpc9b37jC+97Y4darIiaqHmFUZ7kVMIx8olgTRl4aG+kU4LJg8ETSandYbt+7Lkrkr+za+8q4tXz6fwjVpNn862Pzv1aADwZ9Ns413/nwI0/+5l13fbXZ67apVzVRYomTtIY5PdgqdgdeJ66YyVeGaiLoKZ9erLk4rPAXj9S57/ker7yryz/7zg6Xb2uzblLRrGnCyCeMPeK4AHmSAdxIjJVY6ySBzQPKNNWvrAtidUzgx3gqpN2PmG9H/NfPVDh2cYon901ijc9MVbBu1jI7IZhpKmYmPdbPSDbMxGye6zEzucwdTxmeeHGSq7cIphqSRk3SrBnq1RDhDQkCjVbu71sLSSLpDzX9QURsBJ2+odO1LLU9zi82ufnSLq+6YoWP31WhuqTQMnKAtJo48Qkj1+M5O1nhhl1dbtjd5bHXneXEvORjd05ycaXG6cUAX0nqnsDPZJh0gWdO5JlUwTF5bAWxgcgIhgkMYgiNhSSGOEKqIZum+ly93Z2PGy9PaFY1cVyn1XHAjlNguxU2syWlY+9IFqtt7OKmsNfhsUfunRmE3m/uufTa5UG//7m/Tkz+tQH81MnDzK1br27/i0/tfmHfoWYcdmjUPMLYoGKn6ZR0zKBiZ//pBHQi8JTFjy2VRFBTgr4S9HRAP/FYDKvc+cQED77Ypx4M+d/f1mLLTMyOTX1uvrKDFq5FTAgnV1xW0tVKW1tibtLEkXCeuSUGGfPCMcnj+zW3P9rghZMNwrhGQyvmqpbpumWqZp0P3tRMT2hmJgUbpmM2zfXZOLfMfc8P+eDt69g4qZlrQrOuaNYFjVpMNRjy4EHFINR4dQcqawVhLKloxbV7+zzy3KQrfOonrLQ9FlYCLixM8SNvv8DphUUeeXoOTwIiwkAOoGEo6fY1U40Kk806r9rb43VX9/ie2+bZf8rwhUcrPLq/ysGjdWKhGQ4VvUih8tKHcuCZ5gSsITYWawyeSJjwQypEvOq6Ljs3DtgyG/H+twyp+pJ61SMMa7Q6frqS6pRwVO61Z+Au3zN5EkZZUZikvdRh8b4HmoeOnN39Xd/1PrVv/4Hk8ssu/dsD8P37X8QLJvynn378B8Iw+i/tlSWqFR8ZmZw1pQQZkyZxhGNwlTJ4DJ4UeMYSJJaKEtQSwdDAIPHoJx69pEKnk/ArH5/CxhHr5wZcsW3AzETMe97QZ9u6kCgSqd6WUGJuUv0ppUFIwafvrfLskTpCa06crXHmQo1KVTERCCbrlmbF0KxAoyqYqCmaDcVUQzMzCbOTMetnBmxe1yaxK3z6a0363Tp7tliaNUWjJmlUDY1KjOeF3PFIhWFP4q1z3aKZRKlXFW99ZZ/7nzJ0h5JuP0kbCDTnF2tcvrPBe25t8+QLNU4sNVDSAFGqlz2iRDGMXGKmO9C0uj6Nao16dcjlWwbcdOmAUxdbHD+3gvYSnjmq+dQ9NYRyhWuMzx+0BjBgLVGYsH19zPve0Ge2mXDpdsv6GUhij2HYII49ltsecaSIEp3GQZm+LuvsDNQiZW73GEVO20eRa8COE83K/CIbNm79L08+8Xhv966dv3/wwIvh3kuv+NsB8LNnT7O0tLD39KnTv/XII49JrTVKSTxrAeceuIHxFi0hlk6qxEagY6cTo8TiJU4DBtpSSWVNaCxhIhgayTCRhMYjMjDfbXLPswZLwp8/6kY2YE16z7J4qUUmsopEiVSKONJIo/G0pBHAzjlL3TPUAkMtgFogqFcljaqTQxMNyVQTZiZi5qaGbJrrkLDMf/2zCg88t45dMzBVS9m7JmlUY2rVkHqtT7VaI1ASJVMNjpMDUeQx6Av6w4TOUNEdGDp941rm6j6nL0zwmiuG/MR7L/Crn9KcXAkQwmBthEksUewRRpLB0JWxNvqaesWnVq1QC2pUgohGNeT6PSG+F3Hjnpj3v7GHVnGaBDKItDyiALlbYYyRCCEJPAX4DIaaxWXt6naSLOZJ77EsYqC0cC0Dd+ZsZYmlOA1a49zSJS1fcEHwc88+KQNf/1av3//acDh8/q8Dm//TAP/4n36aTtdWDx8+8O7Tp44KpRwzKAlWScA4YEnXpBDHzrlQCajEacM4AZ243sc4i+iTNKrPInsjitdGEBpJbCWJ0UQmIEltr/Itz1IK0EK4TKWCStVS0ZaKSgg8CDRUfEs1EFR9Sa0qqVW0A3hdMNkwTDdjZiaHrJvusmndIh+83fBHd65n66RitmFo1hWNmqJeg1o1oVGNOLdoOHIuoOK7CxyySj/BINTs3GDYMDugPfDpD2zK4pKVjqZRrdCoTfL+N17k6LnzfOhzm9FSYzEkJkmDds0wVPRDVxTVq0hqA0018KgGCa2OizF8L3EJMy9BS9coIaVL54v07kpXXAmnA7mgZdIqS+PimiSRGCOJTRHvxIkoBfjZ89JjnNaoJyJ9P00u5c+dHy/S8tHnn39OYIbv3rtnx5F7vvK5/v9sI/P/NMBrlcDvtJd+6sKFCz/V7Q2k72UNCgKEzZsUYuHSx0q6LJpK5UlsQCfOr06y5IOx6Wubv1c8LyrlnJcr8kCprLmBNJPnAistDVqS1rSApwSets431oJKIKn4kmqgqFYUjaqkUbNM1BMmGzHTzSGzUz22rV/k0YNDPn7vJqYqAesbhmZNOHBXJfWKoV6JadSGPHoAntlfY/ecTXVvkTbvDxU3XmrZs63PY89P0hta+oOEbl+nIPeoVapUK5N812uXeObgRR7ZtwGswpjElcPGljiyeT1Jf6ipDSzViqLiGwLfI/ATAm3QOsHTLjuclUHIdFVFWASFniuCc1dCbDJHymT2a8mKzYBtHICL11m2tLgn6QodmxTYKYllWWaQxHEo5+cv/IdqveFXq7VfAMKXDeDDQU8OBoOf/dQn/+RfdNrzfq2iyYaRGgPSCJSUzjlRTnIkyiUUVGJJlEUb99odOItJyJ8nWcbNZpk3i0kzcVmywlpLKfM+suJmqeosoaNkmrFUlIq2XPYv8BWVQFENBLWqoFG1NGsJE/WYycaQmYk+m+aWeeRAn5/9g/WcPD3JJbOGyRo0q4p6VVGvQL2SUK1E+N6A1sBVQ3rKImXxyRLjGC6KfZrViF5s6KV11r1BQqcnaVUVtU5AJWiwY0PEz/9Ai//4UcnD+9ZjURhrSBJDnMSEsSGMFINQ0Q8k1aGi4ksC3xL4ikAbPM/5/VpltT4O4KpcxVk+uWlq36YkYtNaliQFfGKKR0dGMn0UBcCz50lRGpCtzjmBpeA2Njs2cPjoGd+K2r9533d9j9ft9f59vVb7K6fz/8oADwctrA1/4cj++//PsHeqMj2hUs+5AF9W86CkA6yU1oFUOnAnKbhN9twI92VT1jam+Hessa6LPC0BLd8ZA3jWESQycIusptxJIp22onlaEvhuAFAlcCMZqoGlXjE0agnNWsREI2S62WfT3AqP7O/xH39/lgMnp9k+7RyWRlVSr0nH3lVLrZJQq0REScgf3tVAKoWXev85g9tsCff43jcv8+UnQjphQC8FeLev6HQVrUBT8QMCr8mlW2P+0z9e5Gd+X/DQ8+sxVpIYl1aPYldoNgwNw4ordw0CQcUTBL7LbPra5hlbrQxSOVdLCusaJTKAFylPR1Q2dVqMSN2WNJDPAJxOHTB5co2U3clX3KQMbENKaKRZVHfurQGDTf9dy9PPH6nUvnjPP3/Ht75JLC23f3p66q+WBPorA/z82WNYa1514uiTVV8NqVdVfmUaUxT1GFl8USVduj7/YonFqEx+2PRKtnl2LWu/ckAXro4iA3V24Mc+VwbwrAYjy+Rl7K11Vnci8Tzp6jd8QSVwM09qQUK96sDdrIdMNvvMTbZ4dH+Pn/3INC+cmGXLlGCmXpImFU294upXqpWYahDieUPOLE7hKYGSJteYWZCZJJI4VmycssRxRDuqpJ0yhv4goTOQVHuKiu/hexU8PcFlW2L+0z+a59/+Hjzy4joSIx3AE0sUJymTG4aBoRJKBr7KJZjngadT50pJJxElqUwBkT6ugXEnV0iTQog8OWTS5FCWLU6S0vumkJwmlyI2X4ndam1TuWlLxOZw0R9E3P/g49W9e3a+Ssq/+o4TfyWAnzjweaab7dpXvnKf3++18X13gFw9Q+nLJcWXNQYSlV7d0jF1ooureBTYmQyxOdBtJkey5y/x2aQoiqikBJmWBLi0tUwbJTJ5AhUPAt9QrViqgdPPtWpEsxYyWe8zO9XiiUMDfubDUzx3Yo5Nk4q5umGiKmhUJLWKolYVVCvu4nCp/pBH9gm6A5+KIr3I0jY8WwSaUaypVxQ3X9nh0Rea9CInU/rDhF5f0QkUga/wPT/Vz5NcvtXwSz90kZ/8XXho3zoiI4mMSZulix7MoS8JfOPY2yvq6LXK7qQypZBxMo2Z1gJ5lhSyGcBTwCe588KaK69JpYgpkViS2PTn2WtyoCdpTUxiXcnHJz75F/7r3vS22of/8Au9H3z/t/7NAzzqHUBXt0wef/Gzv9OotF4bDyKkUEhh0FIQKwpNrVJdXVq2HGOXgK/E2qxdArTJgV0aI5Fq7/xkCFdQJGQK7rTISOUAB5VWDHoafA/XCeSnBVZBQjWVF43qkIlGn6lGm6cPD/mZD0/xzPF1bJjUzNUME1WoVwT1qqJWVdRy9k6oBDGN2oD7nvFZaVWYmirS5BlgjMmcBcW6GcUbX9HlvseN66IJTQnkkoonqXgaT/toXUVKw+VbLb/4Qxf5yd+1PHRgHZHRRGkFoCt7dUweRDKvLvS1ROu0CEsKlM6ODfnnyy7CTKqIrCqNIiE0fjelR2NKj/nKOwrucmVnho3sedlYiBMIo5jT8/3XHjh07Pd++Aff+6OveO7Eyk1Xb/+bBfjS4gWkXP7JzvLh77bxRSp+lSgxqFgQS4EyjqHj/OpNdZsqBY2muOIz+ZHkMoScvUcCyXHmTpGeZeRy7S2zCrpCd2cVg1rh6jO0xfNcY3HFN1T8hGolplaJqFeGNGoDpidaPHlwyE/97ixPH13PukmPdbWEiZpNwZ2yd0VSDRz7V4KYWhASmyGdMEAoiZcxeK7BRcpeqV8cedT9gSsXCCtMZSAfJPR8x+CBL11NvA7yfMJVOywf+NEL/OvfNjy0fz2R0QwTQZiYlMUFlcgQeBbfc72rOo07tHIlwkrK9PikXfnZY6kwK78wy7HOGLhzEioRUxncufwoE1npAhh1zGwudaNEcPzUAl7t+Hc/9uhTR4bD6N/+jTJ4Z+Uk9Ykt25984ENXt+YXEULheVm20jW8JgkkEpSxKYNngaMomLtUk5yNRrNZMGmLQKxgiiIractrZsba5aAyW27TDh2VBlNap51BaRFSVj1Y8ZJUN0dUK0Ommj0m6h0e2Rfz0x+c5amj65mb0MxVEyYqlkYK7mrF2YkZuKtBQsWPadZD9h233PtkHV9KPGXSIK7wKLLlO0oUsdG8/vqI3Zd0OXKyylyNos9xmNAbpCysFVp7eZeTEJYrt8Mv/fAC//Z3DV97YY5BVHXJsNhSS2u4Aw8Hcp2tXibvbZUqyVc4JUUJ4KIEclbplQLkdhTgeYVisfKutTKPv5cB25jCOoxToPueYuHcGR742mNX/4ef/OHthw6fPrFn95a/foDHwxMof2JH++I9v1ZR597ZlW2k1Ahj0klTLpmTSOeTZkxd2Ek2BbPNQV1e0jJ/2Oae9phLssotSZl7HNzCIhWlstx0fkrK3L42eJ4h8AyBH1PxYypBSK0yZHqix3Knx/3Pwy/98QaePTzLbAruyaqlURXUKyL3yp3zYhx7+w7g1WBImCQM+hUqyl1kUpSWfjLNKtJAUzstr4cMQ0s/EiWAG3w/wfc0nifdVAHp5QBHwDU7Bb/0o8v8yp/EPLR/hrOtJoO6ZDKxNGJLJZ04EHg29f4zJ8Xm7J1JlQzg+edNP3QZ57lCTE9KtqoW4B6VlJmzloN9DOiFTHF6PklzI3mAagTzywMOnFx55ydufzh5w62v+OfPHj53/JrdG/96AT7sHEbq2k2D1rPvNoPnqFUaxEnisoxCpnaTdKydZIxd8kzzvsA0OWOy5Tq1iLLnJSlSBnh2iMuqMDsJbtxDxt42lSe2NBzIlcV62qRjJpIc3IGfgnu6y/xyn1/8wxqfe3iOhe4UcxOSuUoK7orT3bU0sKwGklpgUwZ32rsShEDI3U/7LEc+MwEj9diI0RUqSVzzQzPQvOG6Ho8cCOlEARN5x7rBH7padV87gGtlUdJDSJegwcJlWyW/+s/afOGRPr/wkfWcXpiiP6mZ9AWN2FCLIYjc6GVfuYFGXhZoSpEHwdljOVAvX5hC5L0i+fmBMQlZBnYpfjJl8JeD0BKLG5v64zZj8qy6UXHPo4eZmNvw7nqz8YftTv/4XyuDx1ELqZt7hku3/x9J72G0comGLBARwrpxa6mXnUhZWEe2eG7LWjsHdSZBbGFDjbN2WZaQTb1yBzpLN2cugMoArqwrx9VZb6fr7/S9BN+LqfgRgR/RqPbRusd9zyT83heb3P7AOkLTZF1TMFtxssRZgJlPrtK7SJm7zN4RWg958MVJeqFmYy37POMMngXZkihWVDzFqy7vExsH8H4kXNd61rk+NC441OlsmNTeE2ly3SKYnRR8921dGsFZPvLFPve/OMP5qEqvImnGlrq2DuQ6jUOUTeOSrPkkO4aiqB2XIClYfHxHwVyqZCMqGNfm5e6hovbcZnq8DPwya6c4idNgMzICqTS33/csN113yf/xg9/52qe+vd09NNms/88DfHnxFF+44260N71pQh953aZaGyGbSGnQ6dUsjSWRDtwq1dwZe1trU680S/mKUTmSaW3SZMIIsEvWQ9m+EnZMmmRZOfJygGzyVcbcnnK1GIEX4fsRFS+kVhvg+z3++E7NL/+PdRyZn8YLKmxoCKaDhGZgqQdQTzvsq4HLdlbShJCrX0nSlcDJk4V2Qjf08ZXClzYPMCl9lezCzmo3wtij6g3YMNlnpdegH4l03JqLFTwvSW0+ldqdygF8JHB1lY/vvLXLjVfM80sfG/BHd8yxFNfpBR51T9LUrgYn0OAr8mYInSV90pVP5lKlSACVSWVUrJSBzsgKbOyo1Cy0eWovliRqYouVPbFF7iSrP1JKsbjcZuHcgdcdfMFuurDYOnToyEn27Nr2P8vgCW954607zp3e/8HDzx+jzSS+Z/NqNCmcHJHGoNJGgwzgNq9jcB/WmqK+IQse84OAKEkSMSZNMnDbgk3S7JssA1xaVDp6omDuJAV5jK+dJAn8IYHX5/iFmA99oc5nvzbD0QtTNGse0xWYChIagU1T7xm4ZQpumSeFKqn2Dnx34TTrQz7zoObQiSqVdAJX3i5GgfJ8jIN1OjyKNZdth2+7scPvfWmGbk3TTGePBGEaNyiD1jIdW0cJ5F6JUt2qsG1W8tP/sMfVO0/zu7dPc/T8BEtxlZ6nqStBLQW6L627cFKXKV/9suOa2Yc4fV5kOu1qnzwjpqx0IvfNV1uKNgd0qZbIFMDP4zdbAF8Ly8aG4oEH93Pd5Zd/8BVXv/ptyyvtbyhVvi7Are0DFQbL926p2Md3zTXPoZVCCIMUFotwAJcCZQXGmPQqzAbHy5JLInJAZ3LFltnbipwFClbIaNuO6MAM2NkFllUqKmlS1yRj7wRPx65zR8cEwRBfD+kkIb/1SZ+PfGEDZxYnMarK9IRi2rdM+IZayty1PH0v0zqVVJqk3nkObt9lL4dRyKHTAd0wYCpIXZws6ZS5ElkW1pZqUiJNs67ZuSVEBQM6YYO+L6hGlmEGcJ2kiRrlfGyZlQCvFbwq5iZ6/Mg7e7z79ef5yBfafOjTMyz06/R1hYpW1LSgqixBbB2bp3X6WhblDVmWcxWTs4ZcGXdYYDSWyti6RGQ5oPMLvgB4Bv7EFgu4kpJnDrf5s6+8uKsTe1u+8603He8NhtQqwV8N4IPuBaSamEts5ZNh+0GvXlNAkoMsA6ZJZ/vlRTk2A7oYe38M2CngC8YW2DU/iS3ZgTYH9og8kWmVnEocwLUbJuR7ERU/xPdCWoOQB5+V/PGdTT79tRkGSQPf95nxBZO+oe5baoGl5hfgrgSSIJAEqTRxiaHUmUgB7nsu83nsnOX+J2qEkUdQt6sCzOxWpLPdsQsjhedp3nhjh49/pcuB03X6FTeaYehZ/Bi8yOCFBqXcaGknI2Qx3IfieCZGEhtJLdCsn+zzr7+rx+XbhvzRnQ0e3zfBfL/OQPl4nqaiBVUJQTZgKbNXpXXWr6AE8tGalfHirDKjZwQ17ohlrwvWFiU2L8m30mubnvvIgLEen73rae/db73xkwuLy69YWO7O/5UZXPmzsrO0/6aF03dPmIEi8JNSeWVxUEdLK+WaoC7LkvyeATuVKGUGHyn8cT067u/mKWWTl3s63W3RKnEAV0kuR7SOaHUjHnhe8AdfanLnkxMstRrIaoVGVTHpWZq+oeZZar6l6pOytmPuaiCp+IqKL6j4pBV6JgW3IfCc/lZ6yMHTcKZVcYmVVN+OJk6K+hnXBylSnSkJQ836pmDP1j7PnYzpRR7DdMa3H+LAp7LJulmiBuRYZ07hVqXyJ3H14e97Y5+3vHKZrz7V4aN3NHl8X5PFTo2W9On6Gl8JfCkIpGsE19LtUqdEcZEqkZb9rsHgq+pXxpm8RGiGUuBpBQml4jxbSJMkY/z03xe4RvWKtHziM/dN+Erc9Mpr93yJrzM86OsC3AxPB76Of1vGB+t+EOJpN16tvCRmhTgm7YUswCxGnufvGVH8t2XHJP+/0pEbkSaWcoG+kyUm1dwGJRM3ED9zM2TEfCfmvic0X3ygwefun+Biu46oVPAaHk0NE57r5Kl6pLIDqr5I7zItOU11ty8IMvbOAK5jfD+m4odYG3H3kwEnzlWZnRZ40qQ6VhSNviW2syULNUkU/aHH9vWCN17X47MPh3Qjj34kqHiuX9VPJ0sVq5TK/Wo3R33snFhZNCoY57dXgyHvu63Pt9y4yJ9/rcMXHqhx37MNLrZq9IVP39doT6GFcC2EUuKlXVhKWBSiJA1H7cM1yDw/t6b0mDFywdIFoGPrAB5bctBDUZ7h5ukIQil56Pkz9Xd/G7/9/MELlwP9vzTAF9uGrun/g/7SvZPrZ44jcf52zsL5wZRpAY7rhTSrpIgcAfv4hYEV2FXCRIwGlCVgZ/pfSYNIAa51gq8jKpWIwTDhwBk4flbxibsm+NLjTS4u18GroJseNSVpeJaGNlQ9S9WDiufAXfHcTEJXZipLd5H+3KYgNznIfc+1px05a3juWACely7ztpSiFyMoKAdhSZLVTLtxzlftHHLFli77z9ToVwS1WBBElqEitfZMyt6Zm5JZkIVWyX12kyXdVDp9wGMQelSrQ77/rUPecfMKX36iy59+pcbxsxX2n6kRrgTEgWagNVK5qb4K0OljxuS5dKEI/lfdym4KZfZOZQklprauXNbkToMtWhDTdS87ZlEiOLrc54nnnmZu5uvvHvGSAF9aaYkwDH/it//48OSeWcuNe4bcsDdCKleoYyJJGDmWsMgSa4yC2n0xSZFuHwd36ZIfYQRb0nxOFjlJYtJdHhKCwE1SjZOE84tw1z2aI6er3PtolTPLVY6crUMQoGqailbUtaWujXMRPDc4v+K5cW0OxNldpneVApxUc6fg9hICz7G3u7BCjs3DvuM1PDlqD+YShaIePHcUMifFpH2NsccV2/vsWdfj+aMxvdijEQmGGvzYzQRUJYBLKRBSjjB5wZSlMlaT1Z+7Psoo8Rh6Ps1qyPe+ecitV7c5s9zm7sd8jp4K+PKTNc4uVkj6HkZqIl8hpHQrRdqVL0kznpDLlrVAPhJoUs5SZzFc+m4WiZJGmGRN0AmEjt6FTpA64ZWXDnnlrogbd9w3++Y3/8v/459897EP6MrONcO3lwT4h/7wC0RRwkc/3yMZbmHn+jZX7ejzuuv7XLEzZuNUwu4dIRpBHMp0TK/KAW7GQO6kSTHKoWgvGw8sbSliL1g7lyIqwQsSosRy9JTguaOKux6t8fwxnxePVWkPA4ZhAJ6PanoESlBTUNOGaskHDnRWp5GVzbq68CCVJb6v8H2ZXgC20N5e4jKLntP5FT/CmpALS5KhDdBa4kuLLtlsYwSegzyxo/2OYewh0MxNh0g1oBt59LRwTkdUFIxpZUYykDIzqQGyYUcIrJEFk5cGI3mJysdP9IY+G6ZCtq2PuP6SIf2wz/9+rMXzx33ueqTCc8cqHD1ZIYoVBAorFQhJIkvZoDxJsYZWGRHnZXYuAZtsnnlaoZeBPTJoDLt2hmyeirhsR8jrbwi5codh86wiChfry+cf+G4h9Af+Ugz+0Y/fwfxSR91x/wtCJIJWNMEzxzyeOzLgy48OmfAitm2OuOqyIW++ccgbrg3BgqdjqnWLNemXNoI4cto8CyRdMJmBWowcDCHclxfS1Y0gDEJaotDSGzhGP35a8id3BvQixdMvVjh8KmCh6zNMfNA+KA/VVPhSUFVQU5aKwo0zU2nhkXKs7XvCJT3K4PYkfipLAh8Cn9Q1cSlzTxt8L04zohHVSsjF5YS7HmrQ6gRMTQh06sVnRV/ipZjNlAJCIxkOFbMzirfcPODLj/c52arT96STKRq82OJFmWedeuwycXYh5VknMv8bxurS33BA9xNFohWx58Y+RJHnrFQvou5H3HpVzKsuH/Ku1w04eEryzD6Pfqj4o7tqHDvvgZD0+pokVFn5JlZnAB+zjMrp2xGAA9YgEoswFpsyd7UeuwI+DG+41uHryktDtm+OaWrJTF0RJz79QYV+oukvHxJ+8wZ18tAX42173v7NAdxYmJlq/Fan3btGYwh8xVBVMYlkvucxn0QcW0x46PmET34lZm4qwhrLdXtD3vemgasnSCxzE4ZrrwqpVzIpJXL3ZfU5F/lwnlZP8MyzmsW2pFqRPLrP4/NfqzCIFINIce68jxGayHoY4YHWiECjpcRXgoq0VFJgB8oSKOtqwHXq+eqCuf2sLzMHt0p7NEXO3r5n8P2sQCvJ2dv3I5QKuecpxWcfbqB87ey2Ef390gyeeeFJkjkeisHA4x239Pncg23+6O4JunGFeqrDvUyHR1lSxubdQkLIHGDuT8mS1i8B3KSjHbRjck8rYq3RceKArhKUcoP0pyoxt1wac/OlEVYMec9tPQaRG+f2F18LeGyfTzUQLLQVzzzv0+7JVCUJXlKU5ztPuNbAa68NmZ1MXNNDYnjfmwZcuyfCGpibtExPWRQSaz3iRNEd+ESRRxgFJAmESfeaqtf8LbA/8k0x+KkLLbasazZ/5tf//NKz7URZnHUUo0iogFBgNcYkDE3ChVbChWWnlw6eNHz+HhcY2MQyMWW46ZqQRtXV/66Znixf6qnrsNJVPP6cT7ulkFq6mShWO2YSGjcXWIPUSCnxpHBglpZAGnzpgOAr8FUxo8+BXBQND9o1AmSNx2VwO4ZPy2q9jMGT0j0m0BHWhpxZ8AmHFYIJiZ+mvVVWQlzOYgoK8ipZp3l3ulGEkcdUQ7F1NsQXA/pxQD8WVLUbgpnVkGQJLSXL5a0y/1vub6SuljFF9tSYtPmkkEZxnKR5A5XOZY+J4gQVuVyC25wgZsusSVcMw+XbBoS2j9SGVkvw+HOalZ5E5YplNKgeIXTrgsl6xfKqayImpgw2dit7VYEiMywUSaSIjEqlnCJJNHHsZrQILPWgrRqVC5dObv7+prULbSFmvz7A5+cXaK2sfOCZF47c1m538ZUCYzEIBkgS4WOtBplGuCbOg4PYWlpZ1KsM7RXLuXvqpa+4FsDL+i09OUJgsi0XSGtOhSqCHClTKysDdZp2lqQbt2a+celRp530inTrPXJwu7YuhZ+C29fkJaaOwVMW1wY/zY56XkQQRJxaMHzsy3XQPp4URYCZyxOxisHL/nA2JNSBzQ3WCSOP97+lz5/f1+fFCw26iUctdpvSuirAbEovCJXlBMrBXla6mEkhWSrwyu4mr4XRWuElbl6KlwJdySJp5urG0+fCpIODErSwCJswWzN862sMiCSVmYDI9s9Y7ZAVcBBgNCYiNyriSBBlo/ey0g8rsRnATTqH0kgMEhN16a0cvi2YOPEBa6Mf+4YMfs9X70FJ6Xv9C6yrWfqxJRMWEsFQCGKjMFa5CFjq0YAhA7i1oCyJN1KtsMb3zdgtA/ho8CKkzFvQlABPuLRyIFy1oCfday1JayrS7vGskEhTmoNCujNb0VVfAFzmsiXwbd7S5vumNDgnxkvZ29cRUoacOC+Yb1cQWhNIRuSJLH+t0ukuS4cR4KVORxh7zDSHbN/QZ//5If1EM0ggSAReYvHiVIfH5M5SkUJXI50KWWzngGKLppNcGhl0YkiUROls+3KVFqslSGXSlcIU1mwKcpH9bUy6eZjNXa8M6JkDVkCgaIGjHI+NWM+Owa0pHLgsGDc2IwKXxOr1K5y4GCJO3uevle9ZBfCKOJ62MPVzz1NJ8FONrC3EwpnxsRUYVF5UkwUQ4+WtX1eaCOEuoLwXUCApUsTZmGVPWDyRgjaVANnz/L2U7ItSUPIGW18JB/YRcEv36GdAz4LPFNxZ9482uUTxtNOnvh8RE/GFB6tcmK/iTSj8cg1H2UFhTJGWU9dZQVop6TMYugm2b391lwefHdCOK/S0phobwjSdrmRREJUVnAlhKDqHskBT5Laksw7TmSqWvONKG0GsBDqR6S52rpYnToFeJNNMnmCT0pQSbybfFa8Ad2rz5nvFvMT5H8lij2a4R3IoJbAnRqZl2O5CWFju89yJU/nGWy8J8MWzH2OyWXnNhz7x8I0H5kNWhhpPuUOl09oEnZW/5kZ9UUtg3bVceJ8vDev8pOfVasJt2i3Si0pDbrUpUcwUV7LQuCoDtnQjmLNRCGVg53NQFK4fcS2AZwFnprt1JktsqrdHa8l9L8L3Qs63DE8eroL23QhoafP0fM7gjLK4O6ei5AOX+1Jl7olHkcd1u4fMTPZpLdfoxYqaAi9230Wlw5NUVAY4DuT5H5JjlZoi7ZtME3LKkBiBZwSJkiTKkChBnIK8XLyWlUNkG4XJEqizkgmBSUFOWtKcZaKLpN1IMYYtjsdqoJcAv6ocxD0XAhq1IZvW9Tje8m+cmHvTa377Dz/9wD95/3euDfCvPFmlWvG+9fMPV649cKrNTNUBWspsMqpFWUa3waA4UXYM3OMgF6l9UjaTsqs8y4oV4LA5g4+XcOqsNiKtAc9KPV1zcdap4mSJyrtXCmBnzbeOvVPNrcn1dmYJOsYuwO3l1YkRgojbvxbw4PMNZKDxpXDzt/MKwqKNrqj4G89mpicsZ/FCZ/YHHjdf2efbbu3wodsbhElAN5FUEsswJl25ylV/JpVzZuyCeikmB6Nl3kqYgTtREqWMY3Qp09ES2Y53pgTwErDlaBlFIVOyRboUg4nVZF4euVfOk4zWOmUXQHneu0VLw7a5NlPT3WtDr/+tgvCBNRn84JHTzEzV3/JbH/vqP3zmhQFN30sHpo8OTR8B8BioR+RJ2TEoHe/y3I0M3BkAZAkUkqLmoTzaIGNutwVJ9pqUwcnbsEZYPO2G8dQouN04hTHmTns2/bS9zdNZw0FcukeERPzp3U0SG6Dy7GU5wCz6GjNnY0SDM9auZ6SbDpVkGlMj8HjfG3r84ReGrJiIflKhnwi8mJzFpbTIWORFZ84uHNeiksKaFCWQCxKdjnJQKci1RRknVxJlUYmrYHTZ42KIamFRlqs7izLmvCklB3ohVVbJtbG1vSjUygLlIhmYXQDZKhELiUjqTHgdqrP9f9jc8O339tqnvlxrbh0F+HIvxCq9++xSZ9dKu81Mw8/190j12Jj8sCm6v5EkyT++KDF5SZ7kQB8rz8y1+JjmzEBfnu2hlCi0eFpxNzLsJgW2VqJwUnI70HXcu8ZkmzJ3EWDqEnsHXsiThyWHzlawykNJiS8NerxOoyTAx12U7J51sWQ1PFnSJ0kUUeyxa1PEFZd0efhglUj59GNBRYKXWHQsUvmWduHEqQ5HpmKx/CdFicVFSRqVGgzS5nCtTArutJ1N2RK4s1ogm5YJZExOvnqIErgR2cSstdl7rVu58G6kjDoDPQVebE4ObRos7tKys9uo3pdXMfjiwjLhYIgNhzR9qOpyyhzEmh9g3AD8eh+/+I3yBSPGgV4Ct8prvgvbrZAswnXPiwLcLsgUebe4zsEtRwBeHv7juu3JgZ1nK3PmTvC1S+y4rqAIS8Sn7q6xuFhFBNr57uWLcLwGpSCnEYswmyZQruPOvWmjiCLN7LTkvW/s8OThJsOkQk/5VBOnxbNyViVJwZ2tFSb1xLM0uGPxEX1r03EeY1Op3N3112ZTCbLnDuAy/Z4mb5vLuvyFkEVzxDiDjzWtFOv62tbx+BSFUfelYHCRuAsvFgHdnsHrLpMkvfxfygH+Jx//HFpJzl5ssWFCOp1d/sdeErJf/53Rj02pQnCNxzKgyyw+Ml6sYGxZZnAlSiyeyRWJ0qMA93U6AMjLtg5MM5za4uWpeJM+T0buWrnOnRdPwCfvbDCUPkqqNHs5eiGOZzDFSxyp3EkpuSkmZfA40QSJ5r1vHvAHX+rx7NEqkfLoSYmfmNQ9EsjElo6Tde1lorymmvRvje5bVGbyxIDOLUQ32lqlJQEqscWwznwui8gv6HhMj7vzWS6Wo8TkGci/qfX+6+cGS8cyiZssHzmFOPFZXLFtCeBnz86zceNs7Zd/5bd3Li0tUvEZmeI6AtCvB+WxK6L8+0KMP1+tvV9aoogcOOPjkGWJsbMgM5vapHW2yWuqvdUYuLP0vZc1Jhs3MyRvEct6OuP0HqG8kENnNJ3QB6VTeWLHymPHL9zRgzE60GjMC0+7cYrEj6buCS7dPODZQyGJCegbn0riarZ1qsGVcBu5usRSxpaGLMgsmLyo9sw63HU+2NS9p4wb3qQNaQeRRZpiQkA2XSvJuvtzA6AILvPAc+x8Z0AZkWwjDstqOl0jVTR2LN2GVr2BoDa5fuebvvUHaxfP/3Bv3YaNDuAmPEFn8eKb9+ya/sm7vjZwV2epxnd0WRj9qy91gYmx3y+zdwZygcvnlIFQALvoY1QlVlQjQzUzkFPUSKsSqPPnaZJHkXrhDtwOwMVQIK8sT8rsrdK+Tj9kqWP4b3/WYLFfQQSekyfSjqwqxeCcbyDa8pojkY6dLjO4c1TiWNOsaX78Ozp89ckmi0OfUGr6UuKnPZTFyIeUwcv19MLkZbQWk4LblEqci0YEnU6cyoL0DOxKipTBnSRKcheFXKYUOrxoJyxkShZ4FkAuz0AcB+3XA3ehwsexKcB2iOTkT97/2MEHTNz/c0gZ/NFnn6BZ93li30nOLsVM1XyUWt17l11f30ygwNh/O/JvjbFbocFFAXI5LlFGB9PkwJbC1ajLcYA7m0unkkTnAM80t8mDSk+bHNyezuovRtnbUxG+H/KJuz1eOFIF6SGlJMhKY0vWZr5HfPolX7KakILNi+7yAuSxkekmTx5X7erxzlvb/MGXKhgd0Jc+gRR50kdJQVQK6MaZXJSZfMyCy6WKAmXdqmCscODOpoQZSPL5KaIAeOnRgVukGc1CnuTOSonYGAF8GTMvrUkyL2pcOgvhEnvTEy0WB8+zdDpEMiQH+CP7GlQrAQdPVdzODOV5HuOA/iYj4byDfESHZoX5dtVAmRHPOA8sRcHmOUN+I4DLAuCqVEOt07oUj1yKeKpwS7zScKBCczv29rSbWrXcMvzFPQ0WWgFUUvdElIKxl5AoZDUiY7Szpm2XTyWQmCRzUzRTTcW339bjcw8OWOwGhErTT2RqT4rUvRFFM7YcT6w49s7eMjmbF72ROnNWVPpcpq+lG32dHfcyyIUUpe77bIhnKk1G9Hi5l9OyaiycsC6QFC+hibOXJXQX2l4ghJv+de0umJhxu18A6Bf3HWLd3PSOO+9+9CeeevgC6ycUnje69bNY9VfWvrqyR7uGezDinCBG2Ls8JmyVRMkSJyPAHp39Xe5wccPdGQV3trNBxtyqxNyrGDwbN1GMnNDKZS6PHRccPFHBECCkzptzi+rBcvwgSq5G8eXLOYQc5JTS0fnweFm0myUarOay7SG7Ng5Y3F/FJr5j8cTJFF1ycQr2LBd6ZXVCsrB0bcrmtvDJjSzmlJRjG2XcRWMkqfbOzktBRjm4jUhnqWSaXIxJFTGGB5u/KKNtlbU6DvjUbxaCdAxeg+6RAVtY/xMbt73y6XNn3nhcg2E4HG6o+PYtNlpmquERZ21wL8XY439o7I+POwfjszQyQJdT2SPvlXoZC2dClILNAtCOwUlHAZd98PI93dJalcFdAnm6X72XloZm7K3S11pHKBXxhYcbHFqogl/IE69kXY5csKweFzF+Gx1zVkpHl3c3y8poQ80lsyFvv7nHYy/WwHjEidPiXpJmd5NRqVQwZ9mSS0Fu7cismvy5TJ/LdFWR2d0d+yRdMaRIWd1kK6zNialI+JSfO6CU29vytpcc3GvhbTWji/E30ltiNCvne0xsFG+ZicINYWSP60yGaOWaAGIjkKaYGlr+wy91W4vhy8y1SnePgTp7PR6gZYAWawA7Z3MlSk24JXCn8wmLbTtYDWxdDAjKR7xpk4I8dvJERVRrIQ8fUPz5PXX6Ax9qGi0FnhiVJuOff3zlWgVwxvT3mGVY9sWjWDPR0Lzr9QO+9GCPRw/42LpHPwnwBfmFpvK/X+jgAtwFyMuhmgs+0wtMOTZPpNPjpsTaWVBvsq1PjCjpb1EKdEdjqEJ3F3GBe0/kQB/HWLH6r33wxBrHMkncTMc4Fph0pwjd7g5BerQ6Eb2hJfDdl1ijTP3r/pXx3xhh61UAH5cooxNNi+BS5KDJ5+Wp0u4NSqS1KQW4C5BnZbMWrYsRyjrdhEmrUaB7OVu7u1IuwPT9kChM+NJDNV48WQPPQ0iVgiqdG1IKLoUcPanlVSw/RmXWTssbbCmT6UAucy2e2YVhqLl8W8xbX93lmeNVhrFPIj36RuEnjH2WzAtnjMHdox37LKjsYjMY5SaVWQtWCqwCaQs9nq+o0s2lzM+NKVYNOQ7w8bhkhOzSz/YS8d1LEcRat0bVuLEhKsTXIfrDH/s8SilarTbGuD0uVdZ29A3+4a8XfOb6XYyd5DWYexTUGWOXA8xiB4JCmpSswpyxM4AXk1NziZIyt2NsmzO1zh+L514aXGoVEfghz58QfPnBGr2+D3UPKbLKQUr24BpZzNL3LB+xrBbFoSutLFyjfLaYa6Lybp9GI+Sttwz53H0DnjkagPYZGImfanFl3Aa7ZWkgEnJ5QDKWQVSFk6MVhXSRjs2zVSUL8o11YJemSLQJU3ZT0nNuCmYfz3GsIr8x0K/C1zeJQykttapg+fyjDNsvkJgEffLMgvsVE6NV8UVGT8yqHM6af2U1wMuPYuQKXpPFZQnsZc2dg9zp7XI2U6m0wjCtKHTtXOlzXZ4PPgbu9O5lU2jTAn+tYnfXEZ4XEduE2x+ocv/zVahokK6h2SuV8I6Uxpbv5Rdr3EZmapOVs5I3Iyc2m2tSAH048HjdVT3e/poeL5yoEMceVij6QuMl5J9JJAWLFx9hbSYvD7FXKmNux+butUAakevw3O/PGD1bbVMGz4d2joF7JOAcAXkReOYYW6W3R3E4Ar3031O4AVRR2EKJDsaCnqorhHCdHSYRBFrkyZdv9A+P/5HsI41LkuJDuBeyDPBSW1d5Z4ERYI9IlXKavnRXY+BWpbsuNkHNAO2VQJ05J84xcY9KRfhexNPHJZ+8uwH4ID2EUHkXkUo3Ui1nXcuOUHYUs3rCEStgrCozrwkpl9AmrnXPTaFVefreWs373tDnrocGPH7ETRKIjKKXiLTgKwVdYvPlfwQ8pc9irXUsXgJ69lOVgt7IdD+fLCjOtLdM2Vy4x/wcmtLATlm6+EcSYLaEEVE8H6PlvwwOpXT1NV7PJ0w0xlj07KQDeBQZhkM1siOvTb2scrp+7dKY1UDPI+MRDV6asjqmuwupItJkQWE9ZQDP5+SVQZ62phWbTbmdHYoB+AW4R1i79Jg11mZSRakYz4uJkph7H63y3OEqzjt1waUvbGlybDmwEqsCq7Ui/sKmy4AuSq4Go1o8bWUzKnVUEs0w9Lhy14DX3eRYvJ84Fh8Kn4EBnYgi8EsyuzDNTCeli6xU3jxuXSoJVlmkFa4HwLpAVFiBFSCtKKRKKags2Ds9r6Z84Zfmuq+RB3FHyfJSK95IZJhfjKP1KgMkYaLRnoe1Br1u2kdKwWAIrXacbymRbT+R/0Olx1V/WKz1PLOE0i9S+mK5fTXmmIzuETNWfyLI997Jdy/Omm9HGh6KrUuUGgN3aSh+7p6oBKVLAE8liq8jDp0TfPRLDYaRBzUvlSfkrWmqvEtw2TkZWcJY+4TZUaCXZUp5cwBj19Limnog+b639rj9/joHzriLLzGKXqJclWGSJn8QTn8nonArSitJXsdfAri0hRaXqUaXxmKlO0dWCgdwU4qVMiY35Vhq7ZWtLN/ccztCgmtSd/myzLFYzDnMisbCWCIHzoDAStTvf+i/rK/X9P99/vzZy7I2IClEqbtGlMCXMet45VwGSDEmK0p7Vb7U+zIbB5w+puOBc+CO3bORCWWPO3/Uhe52DsoouMt79RTFVOnuDzrKmxk8HZLIkD/4fI0//PIkBAGoCkppaspSVTYdR0He4OyVWuOKTGo5ESUpJsMyEqAWsURhO2YXrZCkjb9FL6SSFmENWzeEnFmQPPGcTyzc5AEj3IqshWWtuGc0VhLlPoTidanuGltayQveX6PxJQUZxS4dL3kv/dxYB9R8SCtjbWqI/OdmzGkq76YcxRBGMAyh043ZtefqDVe/4qav6EPHzkwuL3ffZuKQwNMIJLGwJKLYgbgchJQPSvmyGj94o95n8VyWr+Sx1/lSV2btkTpwO6K9ZQ6GQpKokvZW+U4PpY2olB2TJFmlYMbeEZ6OOHhW8vGv1nDzVxx755372d8XjIwXlqXvXQ40RflFDqAxcJhybUgxV9Cm4xOyjnKTKBKVavFE811v7PHZe2vsO+2BDLFCMkg8NGm9SHask/SkJeVqDjvqh1v32mLTFkX32WQKRmlBWidbMt0trfsb1qT+uEkD1JHVeZTNx6WJYfS9EQIfY/LyYKx8v58SyKPY0h8MGQ66b1uYPzep43BIkkQ5W5T744TAaa6SjbXWbSSgGtPc2eOIbVaWJWUdK0eflwEuxeg+MoUGL7YKzHZWU2PgdhNZTfro7EClDCrzu1WMkjEqlSeJivn8A3X2HSq0txTSed95Bw1rnkDB+Gux6jzZkeejDcgjnnhpIpU2wtWmyCKFH0aay3cPecdruhz5eECYKBCaRGj6QqCT1L4jC3QzR6WsZm3+GW2ql6wVKJvWhuCkSd6Pm92FLVL8Aox0wDeZTCn54GWwl1eUcbDDGMBfQotTygBnZBAnEMeGKHZ1KGEYMRwO0LWKIA6hXrUMonQbN+kCCHCXiU2Z56VLY8XIhxsHNeOWIKsTAWs3N4yydvY6Y+0M7Blz50BXZSYvdLfKgshsixNp0LIYmq9UgudFHD2n+O+faTKQHtkEraJrPl1ByjXQpe+xmoJe4hzZEhulJJK1sI2OSihS9+X6lMRo4sQjSGJ+7N1d/uzeGkfOalARGE0kPPpCoJLC0ZDlYHMM5Jk3bwGdXXDpe9K69LzFpqydeeJmhM1t+neMFAhbrB6rzYS1mXtNkK+N7/zY5dsRGktiLVFs6A0M/aHbilFvmO1T1X0WJyIuLPl5kCTzyyz9x8TocjYO8NHAYTxCLiV1UgtyLQYsA1uMsXaWSBkFtykkihxlcD3ib6dgHvG7S3fpWNzTIe3Q8KHPNTlzMQClU2tQpvLEjvje+fPSCRplqdFE10uerBzwWeNBuUczS+EXU57yZgipSGLN5rkhP/TODr/0UZ9W5AICayVDo5xtmGSfw0IiKBR2AfLi/91PVHoVpvObikdZOD5S2oLBbencpZahzRn8pQPODNAj+BHfkB9yNVHeyY3UIFnuGC4sG6y26H2nuiwt9zl4OiKQLo9ftOWDROR7Qdmyg1OWJSPgzj5kCdQlcI+DYZy5M2AXrF1Mac3ZOy24LwBdYnJtUkY3uTRxcsSUpErG2HH+qFWEDiI+fXvABz/VZGg8J0+EyuVJ3lQ8ZomN6O589SqfIvF1T9KoVVgGfZayt26DL1MqpU1dldhoKjrmR97T5eAJn4983mlxUCRCMjAu4JQJOYMXBVjZiStS92W70oG6kCzWpmwuCnngSMc6KTuS+HEyJq9LT/FgyiQ3IlHEagZfS67Y0eOXs7lwLYq1isfu7R0u29VlZraCvueJGvMLA04fl1y32+B7Mjfey1dXHlyuEQRkH7D8oWT5SlxLq5aYsNBrdkyi2FKQmW7RXd4yUJVdB1OSKhmYS0wui+rAXHfnj27W4NIy/NlXaywPM3A7gHvSaW8tRuXJyKqT2WWsfYxGGLsUzxSWF6NVfdnudOXtGMt14lKijMIYTZxoJvyEd7+px2cfqLHYUSAjMIoIp8fHqwtHL7mXZnKXByqSQll9ShZs2pTFc0CnPrmxq8+5zEplrVtNjCwN0B9pSh7FklibH0a/gXB1SvWa5LJtmlfdaJmcTNDX7AhYbAbUQp0meYotRUb87ZyqV2vuMqjLF0XG6mtp7TwgK7c95YApjYiQdkR7F1ba6qAyG05TgDsZCTCzIDPb50aX2Nurxdx+T4VHn6tiStrbNTVk8mS03iRvzRpfxQQjK9pLB0wpe+b2WSFRxpshylOdEitRtjyM0kObmFddFfJtr+zxsS/4oEIQEisEQ6NRQrgtSLJAUxSgHpcrmTVorUjrktI0vixklJWlQjHpZryMMHdqOdtSS6LJSCw9aLK0iIxmvEePWRHaFG+IVUcyrQs3lkOnagQTs0zPzKB3bZVM1yXDtiaMJVE85qSUGHjk9RjAy79XDhrKQM6ZXdpCqowxthBj7C1GgV24KOlr5aYbOV2eOibSprq6JEkyx0SWJIp07kngRRw5Kfno7Q3Od3y337V0g96VoNixYSxeWKW7y77zGuw9fhtJ9JSYfdVWi9m+RyNd927/HPfotj9ZX0/4/m/r8sBzAUcuSBARoDBIBkKWNpFyQMtAnduY5QuuzOd5NjM9D2U2F+55BuZMtmQrsftZNvvd/X2TriQmTQZmMwWzY1h8plJsV4qN8+afsWNsDAx7lrOdiMqEYaZn0Vfvnqe9skTS6fHCsYDQ2uJDjQF2rStsXH+vZQcVgLAj4ChswVLlW15fXWJulQF+DOT5jOzx50muvTMW19k4YBWjZIJObUHfjxgmht/5RJP7n6y63japnfaW0nXtiGL+Sv5Zs5Vl7JiMM3n5HJSxvjqDWbgWxR7v5fLZchmtazczmaOSGGKpUbHmddeH/PD72vzs7/gMY+kyUEYSp66KNKL02RzIR0Y4WNeSRunzudeiFBuk3fUWrLRpgCnyCyAPOvOL3o45LeVj5EZzryKL1NgYNyyy5h9Rahsrr0gmMRw4HdMPhqzrDNBfelKxtCjY91yMJ+K0xtqNKhasDVaxxs8Y+1kRQNhVxe8FC5YH+6zB3qX95+Va8kTavNvbbZttShKlNPY3093pjOs8uJQxnh9z9+Men72/xjD0oKpz7Z2zdx7YMnJfy9sfWVZLS+da9F0ubCrGlJXBDVZlVYajteKJkUjjpEoG9DjWVGsx735dnzvv73PX48rZhkgQkkho+tkqmi/sRUEWOBYudkEtBbyU6lJk+jmlG1YvRPE6z4anQM/OrxUiZe5SsCsL0lwrATRKog71GbgL29N9i6xmqT6peP0NMXsu6zE9FaAPHmlw8eKAA0c1OzfG1KsKz0uV2tfRz7ncEC8BdOwagF7N4qKst8vesiw5Fpn+zfdTd69z7Z1PQi2ArdUY0FUBbp2C2/ciVrqW2x+oceBcxUkT4UpiRaa9BaUJUnYVuPPvlks1UQL619EnGbjTVHVmyY3ei71FVw8HKmpUpFRIkyCNJhpq9m6I+LZbuzy6z6cVpulX4/R4iCLbB8Ltjzfe0lasORaX3MkvSOmiM5W2tBVsnkmVNOEj0hryHOiC8giJnMVtwfA2PXaU45pM2pSOt80ljZM4Mm1UlkLgedCswsZZj8t3VmlO1NCbpwVeLFloum2hbf71xoAp12KukmyhAO9awWTmkGQXRlakNMLeIgsqC2AX4M588CK4lPlgdjvC2CMBZZbIKbso0nXKGxL+xxeqfPAzDazQzvceYW8K7S3X+Nxjy212LIow/CUwXra3yiw5or9LE3xHCq9SNyWVKiaRGOl8cSUNUeIhleFH3tXj8FmPD35WE8UFyA2CoZAokw2SsIWwzUCeg1oUkWAJG1lOJKsbd9eoA7LM/jORSZVixERmFdocJ6V6dTkG5lJSKvPVi8xoisfsM5QOdWIF8ys+Z+erdMIquuILqhXpmFunBU+iVMk3VheyOqFhR4Cc/84Y4FcxeDmoLL2XedwZsxcz8VLve8wxkRm41Zg8GduzXqV7zzgNHuH5EYfPSz57b51u14OqWs3eec13aXURRYInX05Z/Ry+cZKnYPAS6EuSZdVM7LTpIAe6zIAuMdJpcSk1UZTQqMe86/U9vvS1KofPpUkFV0JHIgT9ND0nBAiT1RgVYLc5qFO3hDT5ky84mZOSpe4de6uUeQt5Mgr0DNhOkhSOjrBlrKwGO6IkeaRwnzknFVcikBhXcBVGknZXIrVEN5tVBv0AXxeToIp90MvTmsaZubyUMAbk1T+TqebK/ltZAvy4PMnGgakSi5cTO1KUB7NnzokZ2W5DlmSJlKljkjK51jHDyHDnI3W++lTVDQeXngP4GHtnRV5KCEaC4XyFGw2Q8sDnG6uTMqGPAr10NybNHuY7SLutSJzuNoVMMZJESFQiMUIRDTVvujbkTa/qc+qLHkPjdHhaCUWMZiBAmtK2VULkBnZmFaucGzNHJa0VF+TAR4iC7C255JByHOhFRtVICg0txl0TW2jyEtizf8tmmVKZ/o6BWIBIRG5lJngY4aN37dy2MhgMvqQ973+T0g2o1HlZ6nhtyEuDOv+grHERrNLftiR77NiyX2LsHNgZ0Iuy0VHnZFR/qzz9npSex0jpOnWkH3Pf4z6//PsTJFYXzolUCCHdPkCiSMuPMnjZ8VmbvUfALb4BsjMGXCVT7IhcMWRTr9JiLFE4Krkml84bF0YTxwbfT/ipH2hz4LTmvsckxhcpZN0XiIyiPyKobEmWrKHJcy88XW2zz5uutpkOF+kFYChGSdgyHsAlicQYa5c67m16EKW0JbyV9LrIjpXFSpmDXkmoVzyq1fqXpmc3r6iJ6Q3dc+cuHtFK/rDWhoov0lELo028alyyqAL0I+1jGQuPXBzl3ykFi6rQ1LL0d0aylGosmZPWeH89cJelih5J6Lhey9NLgl/+6AQPPFV3m/JI146G9NBSUJUQSNJNruzq2u2Re7ra5UNyRocRZTXvUo01TJd0ffFalC76saxumQxKcwDFuNQr/8zC7ExMoC2PPuuz0pdjS43Mp4gXFYclJl0jnfKNb+Vh9YX0yssRoCTHShKnfIGXf69cxkCxsrkf29F/P32/Vqsw6C59/6kT+w/oqabbJdcYizUxnh7NJI4w8FhEm9s7Y44JZZbLDjyjJ6bM4JmtVB6mXmZwuYbmznYYWPOuyoFlWgqbPk/8hI9+boI/v6eOrSgQyqFTaISUI/2WRX/j1+mYL+vEtVJsrH47T/CMEnkhU2Ak0BydX5gGmen8QJsyt7WmqFEREmkUidDIfsK7b+vz4lGPD3xYEwZxAXAhsMZjmNbOiCy/njgT22ILsKWZFkua3TTpuxmTZrIlPdc21dmjC4LNjYyiRiXFSELq2gnKo5ZHjIpcp7vvLjKGN4JECGQiiGJQKqE/dDU8esO0+wfi2DIYpltglFK4I6Z8WX5kTaNraPKyHClr7jWBLQrNXaTm7YhUKYqrTOp7jwFcmRTAGcjL4E6QpdqTux4L+P0v1hkk6RR8kVmDadZS2BHtvWZqvgz0cbnG6OM3Yj+bBneZ97wqo4ldVUJrZSmzKUvOilCuMEumxVnSkBhN4Bl+4O1dHnrG566nZLr8y9waM1YzNK5rKy8iGbcOU6TmTCvcBGIrxkCeNT2UNHf2O7l+liCtHSEJm0sTW3pdzLIckSlQOCymFD/gqgmjJMLzyJqOQ4QQRHFMt5sQJy4azfZFKU5Uqe+QMVAL8j11xq3Bstc9mtwpa+9iIyM5skRnzQWmAPqIDjejHvg4e8ukCDB1RG8Iv/B7Exw9E2B1sVvyiPbOJNIIsMcAzRpgziEsRvH8dQT5+C4G48t1UXxV1uOra1OMTCsOZZnFFSIxCKGRoeGSzRH//h+3eOjfBHQG6ZcxMv9cCZqBTT9jlnI0BcitBEwKakvusKhUE1tJ2pWUglmWwJq6HPkxzKR+Bt50BVxFEiXSLAegZQxmB86kNTxhZOgNY5R2B1Nv3NhAKUWv20XYHoNQEMciH4Cf26T5+UrZXRagXp2mt8XwxTFgj7B5SY4Ike0cUJYopuSDl/oSUzbPmXvENSntzpt63lpHxAn85qcbPLW/4jxvmTF34Zx4YlSWKDHK2qIM9jHmJj9ZxdDNtfh6FZOPOSdFAwRFMZMV+QkcqTYUjsHzoNNIB/JEYkR6T1KpYgzXXRbx49/Z4tc+MUmYpCyenUwrSFAMTabF01x7CeS5RBGlLKdwWW9bZnPpmDUHsbQpqItaGCsYBX0aM+QjJOxqsJOy+jhvWGvzrp5O3zAzW6fRbJIkCXr3Fe/ACxpcPPMsy0tfwNOuWD7buDjnnjJzvxSbl56Py5RVAB/T3GJMlhT6e3R/xoK9k0KXl5M6I/c0sKwkfOWRgI98ukGr7zkPMPW8SZt0nXNSZC3LpbxlHV5YnWvMIBwJy0T+egTSa7D2KryPAL0A+Shrp1NhM0lSTgIJZyMmUiGtcfUqsaJZMfzge3o88ULAnQ8rqMUF0gCkIDaSAVlMUYDc4kpjyW1L53mnsaor680kjClAnMkXR4g2dTuKTh8rWEWOoxKv3NNb4CzDXdlOjRNLrx/zHa+9kVe/6hW0Wh20kD7urvJgUApn/WSdDuXh5WWQM/LByh/uGwO7+NmYLClJkkKmFDvsOoAno363dFagzPdVd4GllDFSx+w/rvnvn2xyeNF39lDqd7tHWbB3ySUaAfla8mREmoxNa1qtRkZVStldyEA+prtHnYe10vhjQ4KyQixr8k1lRSZVhEVIjYwsu6Zjfuy9HY6f1xw6I7C6LLAESI8kBTljIM+oVeVgSP1uSFlc5IFm5mPn+rskXSQFo+fH0o5hqczcdjXgy3h03fzZMbEopQl8D8/30MbGWBsTJzGDYUKUuHl0oiwxyiDPr6SxQJMyY6/B5mX7SthVGry8iZFKZUjB5CXdrUz6ejyZUwBdqQQpY/wg5nxL8AsfbvLZu2tYTxXp+FSarMXeRd336pR8+QSsldQpM3pBNaOAH2HtMbBn762uSSnr8AzQ5QA06/xxDC5F9jwNPhNDjMGTzlVpDSU/+auKCysCgjLdCiw6Z/IyyG3an2tTTW5NmlhJAVO4KSINMgsml5l0SUq1KPlKL3KQv2TBlXCyJ9PsBdEWF4mnBZ4vXM4uNcf0hWVNcyI4f+SM/+UTC5ve0vB7VAKRd6mPSpHR5WF18Fli5ux31gD2KvYeSc+bEeekvHW0yioGM4CXMpUydU3cc1drEmL4/IN1vvJYLa01ySxBmTJ4xt7FrsHleYNlt2RVWWxJi48cjzHmLgdCq27lWpQyoCl5xKao0itXGsrUTcn0eCIEQqSJn9RZkVJirErfkwjrKg4DbXnzKwe849U9/vBLkjAWLm2bfXgJFo/YCgZZZzBp87m0qaTJNLkb2WzThFw6U9+BPJMl6XfMplxZh9NCoowXWK0F9vHjWSLVbMKw1nDr9eu4bJv88taN+nyjIlC/+d/+G2+67bYVKfSKTcw/6LbnqVYknsrKUcvJiHIAWFyB44mIcvfN6tfjiZ1iD8aRMtgRK9AW4B5j7nJHvE7BrXVMIg2fu7/K/+93Jzh2PkibGIqEDlIjpCCQUJFukL1Ox8BpWU46ZYmnciKrGMyfT7kVIKUk31ZFjA7pd4OR5Ojxypy68Xvp4iqXMZRlX7n7yU0pyHINrPrdkThBAMYy3Uy4fHfMqYuKQyc1Jo8IS5SJcA5IJsOKNfwllq7SijXyQozIsbVco3zlKv9OdlGXiqpMmQRKpOE2zkq4fO9uJiem/+WhgyceueGGW90ePVpFrmtcx+mW1m7ik5KFQzKarLAjunxkkGIptTq629bYdnOr3JSxPdAzmaIK10SWpEgGblkKKDNL0PMSji1IPvKZOgeOBNBQuSRxa5fT3pk0yfssKYEmA1CZuct3WdKE6YEoE/ioB16scNlvrJXscaxtxhI+hYsi8xM7mr6Xwk1VlcLm3rjImV2mWDRu6pV13ng0tFy2K+IH3t3hsed8js/L4gubTI87GRJLwSCLB9IRbtbY3EWxJV2e16iMqh6yAqwME7lMoczkZGZUiqdij821riEBJMJtluUCTku3F9HuhAyHpU2o9uzZi+dXaVQjTicHqQYxUmWpB1FcWuVTNAL8tbeNK4N7XIfLES2+GtgiDy4NhZuSFU6VZEn2nsjYO2GpI/j1P2xy71OVokowE2UpuJUk3aG4PAa5+PyqBOa1bMG1gD9ugX+zNztGb6Np63LwmboVaSZPmpRhM/CXMp1SWNdgYNxxNkKlDQfKXUbCkPQMt1075J+9v81/+j3Jcj/9HJmOSLfZtEYTpyfcZq5K9pgi1KbPVeaoCPKG5FyDp9JlNNFDXkeyKnGW4Ss7PqKI0Qs8OoQOY4uvBevWb+aKKy6n2+0XAJ+dW8/0zIY7Oxdv/+Vtm+KfjKOQ2Co31TQt5Cn9myOxEyPALgIAmbP2aKApGN12ToxYgRnoC9fEaW6byxL3s5LfLYtspVIxA2H5nc80+PCnG3QSL81WqhHXxM3uK5yTkaIqRpllxAcvM/WaYLaIrE3lm0T6eHd92UUZqeUoAz2fnyLSgfTFyLeMuY0UCCPd8bRuDF+Sxh5CGBKjILY0vIgffk+HC4uK3/jDJv1MepiMzUsgl240BCKVHBmIjdPA4GKGdO5lfjGW0inuMSkclDKpZAnJsgc+XuaQA5zSVCsDYWypVCo8fXD+l3/g+y+98/TpswXAZ2Y3Mr//R3ubpuSxsNKm1Ypp9+sMhh5RLPOrjLE/VA4sKbM2hfQogD9eEDSewXTAFmO2oGPwwj3JWVsVQJepJYg2vHjI50/urNGONPgKyICd+d4SQSpN8rsdiS/UOJsw9rwUxSNWv0/pv/lmkJ6n68cKh8rFSA7ItnQRFM5KNihISOnAnILcOQwSI4wL3oxKmd1Zh9JY4sjQqMR8z5u7fPlhn6cPuqyj0z3Zo0hZWhFnOt0Uv2PT2hQr0oBTWlQ52MzKZ0WJzWHMKrQj4C6DnfKxLV3sxkKUCPohXOwKVKTovXjx2PXf8bO9pz7zcwXAAezU9+L5NfY/dzvh8gPMNn3CSJNlJXOTcMxJyV2UDOCUdfi4TCkXVpmS/i4D3YwyeMk9kaKUpRxLxWsv4dmjHj/+S1M8dyjAerKQJTmDy5ItaPNBPuM7NaxlDa4lU0YSO4LSq4J2vim5Ykefjvri43ah83pdvYeTJBmoZZrRlMJ54sKCsBZjM+C7CVnCOIAnWHc+Q8s1uyN+6ydX+OH/LHjucBqc5CdeFMtJxuSktepC4FEaIwGolLmzVdGmoM82Fs8kSRnoosToa4LbFoxerGaurKQXCyYmV3j/Oy/hjbe+lX6/x5vHAX5mcTuTzRp/evdOvP4LvPc2TZJkUzTIgVoGdF4Ek/5hN9hlPNlTlillGZIB24y8nweT6c9yvT1iDSa5HejAbehYyW9/ps7T+wISVWJtUdSbQGoLlpsZxJg7VGLl8bmDq8ZCjICd0nEaW+peCtdjwC4j3Jb7NEfez5h9jZpx6+Z2G5O6NsJNpjWZHsdihEzPjXR63FgSDFpYrrt8yD95V5ef+jWPTizAo8inZ4yNAKNIhCDMZqYYB3JSti46gdwHz2KHrPYkSw6Rg7uQKEaIfHhSTpjjQC+Rh5aWmg9vucnwo99Wp7lxAybp5sc1B/hUXdOoeodvuXziyJljO3adPNenUTNpt/qo67HKFy/rb1Fm7zU8cDkWYGbvrWLuImMps2AzA7dIUCJGiQTtJfQMfOSzdT75lTrDDMyyzN7Oj5MpMRWB5Rr77JTZe5yxS7pwNJlTkMBqZH8jeTLO3mPAKOlwA/ko4zKjlyWLA3chVYR1WtxIg7DSlZxa654biyBl88TiC8t739Rj3wnNRz7ToBvhDlhGvdkjAIrEOJDnwa9MQz5TsDcliZIHmenrvBalHGRmGU/L6njHZl35GQG5fQlmmhaRbOHg6S1HbtxcORwOk/yY5h93x/YtHHjxsS9fsm3qjzas30C756bl5yO4St505k8X6fTxVPpoqr3wvsfrTcbbzEqypFREVa41kSJj7wSlYzohfPjP6/znDze5uOjltd1FOj67iyKpI1ZnK1fNbCnFE5IxsJdfj7H2yM/E1wd3hupyoVX+3shLkTJ6uaKwmB+Ylc4WQB99L68hL3XjG6OKgZ5GpiPgFBtmDP/uH7f4R+/q0AhiN27YJmASsDGY2D3aGKxxfZAGhhZCI4gsRFYQW1ewF1vXCJykr5P0s+Wv8+GiFINGTfp7pdnf7i6KrqYUl56GijbUG7N0w8Yf3XX3Q1+emtm0msEBDB5KVr4gpXin73nXChHmBU1ufrgdcUpGa1RGpcu4By7XZPGy912SJaLwvEdsQVEqf1UJsmL58y/U+MUPNTm/5LmgUo7r7tGMpSeKBE7GMiOeN7yE9y1GwLtWdC/G3/xL3soZzQL8RYS/duqetOCKlK1TaZICW9jCExciZW1B+pjJFYWwTl9HoWXjVMK/+8E2i23JH93egEq6dORMbinma4NBEhrHyK4exeZs7TR4xuipxZmyr7SZb16wc87mL6G/3Udw81lkWkWotYcU4umJidoXer3+yDGV5Re3vvY2zh//8gP1SvfxZt1S8VzSJN/TRpqRVrFyrUi5dluVGVqUAFxm8bS+pKj3LtLwcg2f24HbFN05geHwac3Hbq9zbr4EbjF2l84F0qJwTnSamBjv1Ck3QudgZlSW5MFjejWX9fc3qUpyMH/dn5e87/KI4DU9cjK2Lnvho+PeXLNy1seZPaqcwROjnF43ijiUbJxNeP+39ti1NYQwZXEbp0yelJg8AeuSU7GFoUmZ3LjXBYOT3oux0CMsbd2g/6T8M1ti7+x5kg27hygWDELLIJacX+g9/tE//uIDb3zDG0aOox4/sDu3bwAh6S0vgRm44rv8hGWMLUZeZ1dakdFcK4M5GmCKMdYuF1A5u9Cswdzp3TccOav5D781yd1PVKBSBve4PHGedzYGQq8xIWCtYT7jM2EEL1FZmFW3pcdk5MIY/32xtkuSXRXlvXBWjXSzosTwhT2YuSMiDTDXKsoSOOAII9MkkXSdMMI4rzxV/olQYNxnTQYxb7xhwM//eIuf+a0Jjp7zHUM4yi4yniWKtAiXEIJcKmXd+VmTsSppcZmxO6PMnW24UHZNhEn/RkkKysQdrFq9wroN2zBmNW2sAviuy9+EEDpcOHGGYfsEceLlm5HmJ2YNihrd9zD9UtKU9GzxfBTYo3732uDOGD1GeYbjFzX/8b9P8Mk7a4Qi7ZCm3F9ZgHs8sCw3Moww9pgkYQ1w5gAu/U7ZDvy6xF3+4dh5yI6rYLUWz85qeeOn0d2RRXqx2DSxkmU2uPSxuwAALU1JREFUi0YIaRyEjSiSP85WzABfRLGZw4KRVLThfd/SIzHwM785wYmLqbMyAnJb6Lp00HJkBYmABPBFAWyyoi2KC12mrXBjh7M4XGNRePbfxVYQJ9CPJHsv38R3f+dbwzBO+Lmf/gYAr9TmkHri35zrbruikjx121Q1ZBhWiRM50htIyir5+RN25HmeqRxzTQodXk7DJ7lsEWmtSeZ7l5M5WiecmPf4qd+Y4NN31QizfQXXZO40Y0lpeGYGalhbmjAWbJaQO+5/j4B6nLb/CrdxXI9kNBlP26eUkiZ+MgYfbYyg0N8jOrwMcpltc4YgG/Og0r1FnAzwVML3vKWPVvDTvzHJiYs+6Rxm0iqsMYdFOa1snUzJl77cG3I2oCp/NyPyClQo2Dw/NmMlC8bC0AiWhwm7t1ne9ZZ191y2Z8u/WVjqjh/W1QBX3iT/9+9+oQ3rD8yfmXntD7z5ovJ16ppQbPdmjRg5KSOBpjAj9mBhCRbJnZy9RemxpL2z11k6XuqEs0uKf/ebE3z6zhphtq9gSWuXy2Bz9pajXTprsXcG5nIlX/adxrV4BujxADODZjF64S+H7vEAc9wXL97MZvIxIlOyon8xDvac1dNNXE3G5FnHkfPJ86SQyUq+XM1KjEVjeO+39IkTwU/+xiTnlspXdunz5cGnOyfGQgS5h25xyR6dHrWRCzgFfqYERsbapd8lyRaaVJ83a4Z/+u395L2v8w8MFz7Vnpt776pDK1njFicCX/Z+/HVX73i225smMXJk9l8GPlGyAcsgLph6jSBTlRM3JflRTuCIQpJIGaFUQqIFH/pcg0/eUSNUMm1cGO/OWdvzLmcsx3X3qK4ulsq1xkOU/e+19HWxian4y+J7NJu5Kqkz6nsXPyvZhIwy+HjXT9Ek4ZI/trTnTz7r0Lr3E5tZiMrdE4mOLe97a48ffGcXnSSpfRiXLMRS8GmyYNTFB5GFgYGhFaXAs7ALM8COvlfck+y/MzBMBJERaGlZX1HsO7Lz2TPnez/uqbWP7ZoA/+kfezuvu4pk8+Y91vMUvucaCDwvSodXljt3SvfMShTkbC3GKgLLdd6yJEeUSBBjzK1EglQGtODLD1T5+JdrDOXq9PuIa0LhmhT76pQATRnoReJgVddO+b0SU4/qxBLVp7+wqkz2mwH3GmQ4Ik3GAJ0dcfLm5LFUvhkDthEjgacdA30xazyNtTKf3EisSUFuJIGxfPdbenzLq/uIpOSNj4Pclt63BpOCOjSZR14GOSMgN+PfOb3HBgZG0E0EnUTQjQQWxc7tu+0XH/QSNf3eNY+vfKkDf/lVN7Pn8us/LrygG/jLrJtu0agO0CrOU/YjJzJfzouiKTGS3CkBXYy5JSLJnZTMCpT/b3tfGiZJVab7nnMiItfKrH3r6qquXuluQGRrGwHRBhRZBwHnjhvXuTooitugg7PI+NwZEcdB1IuOw6Zc515BGIZGlG0eZV9kb7am9626u7r2qqzMjIhz7o8T58SJpYpuaGhg7umnn8yMLbMi3vji/d5vOcQFs31QG/jNgzn85ZVlPL8+A0FpOrDjjiU1rbZIiVYmy9ESEUyE7zV1ifGWSOg+BupXBXfcgUrQE6I/hBY6JT+Fm1Y7/h4JQJuBHy0jKukwALsIZERfsEBOZBA+xcHzXfzzl8dxyrHTUq/TltxLAbkEuJIR/TSQIwS5bolh3ODqfHABTPsEkzWOyfEaaryCRQe14bTTPogzzzhlxnNszbQiX5orfnnL//5htbr8888+90phQTdw0hE1tBQtVOskeJwFdszg2lELGDqUhPKQtswI7tChZIyDWMBt9+fwzf9VwoubMjKBOxGpNKmJzDWOUhMjHRYxUBsATmsmihg9SeXjadY6Zo3T0T3DHRCzHcrh1MEemIEecxtDSoTQOdmSeyN0MA0HVNIUeQAiZIcoDipVDdkdU+aqUAB+QJbqAkv7XHz3C+OgBLj9vpz8EYoiRML58T+NwocEuel4mkqUKuowE/iUJXE9jt7mEZx65DB6Omo44fgVY81NhR9bVm7GUz0jwAHghPceioHBMVzxb8/i2t/VsWtkBF88k6Pm2sEJE6H3q5/WUcVEg9fMFJwR3EFVDuOABdz2gAT38xuyBrhn+i+piR1QE4ZkhqCqwomXgCXBHqUm+s+LSYgpyYPGDjPM7JAC6HgqstmLDwq8UNxcgl0gzaqHmriciTge9VRZhjwS5QyXqy8L3gfRTsoBTlnYZrnu4+B+F/944TiEAH7zQD4AuQhBrqXD2UFu+j26J3gwVPKbDRl9nqq5+MSqCj5/povxagn14pKxbds3/Z9DDlo24+mdFeDd7a21kdGpC45cvPQmTK4t7NqVwXPrfBRyRPJy5oMwjrCkSIXy4wGd2cEd5nRLPg6L4I6HsrjkRyW8sDEzA7hNqiLBrcLxZhKVmXMS59VxShJxIGNgN+5hLRJGVEESLjO32Qt8axCbnzWwlaUPwC3Uv4gWHnLzMIBEDNBLK25WA0VkQ6WuBKgkAUalJRdhjqtgYQ+VGnDIPBff/eI4uAB++1AuOKle+JepfWcAuc/lrNpx516dOYogAs0ESrbAnCaG7nI7tg2UUW5dNDVZyV0w4s2rzXZ+ZwX4+o2CtzUvffwz5+XH/dFNhZYCw9ZdwJz2Gkr5oEBYiaaIglvRkqiikgZuT1MTwnwIRvG7R7K4+EpFS2YIwZuaNyXaese7UyU1b5HCu0XSchNlUcwbgESAry5FaH2QtOYpXCbpwagVgXWOWXWTk0atcvQG0RXtmndL2TIKdJW/EvQ4DCKZCLpiEiHzzaG1coV2CUKfGL+9Diyf5+J7F41DCIK7H87ChwJ5yh1rnBQBAheQEVVK9LXi6ukTbEmphEAxK9DdbGHPcA4vbynhxOWnjs9v7328Vh3hmGXQ2Vb297ahvbW8J2P555x0wuFuqSBgBz3foK21CZBYghVCyy1VljTLHYCbcghG8Z9/zOCrV5Tw4mZnBnDT2PsQ3BZJCeoo6z2LE5maHqtBnlymL1PKMqR93osRd6z0cmNFIsAJw6lUWpbprOl1iCoq3IhnBFw80hKO0+C9khADJUVQiEBR8bl0Pv0axbI+F1d8ZQwnHFUF435QCRHLXTH/S61E6+SmopJwNAV09yvPFxgcqaPYcog7PinOsZzyHjvbOet5nRXgzHKwY/s2LJjfv/1dhyzZ0NVRQCFbRy7rwbF9WJaS9ZLZgyRmuU3HMk5LCOMQFsHdj2Xwxe+VsXZTRuZBpoLb0rRE826EjXtMi82C3xNGL40moDCVkTSgJ9uuxYEP873eOInuvZIKRXKZjlgizreJ5uNxKZFrqhJKhmZ0M8xpUSBHZKpCAaWmhNw8VFVoBOQ67bZOsbjXxY8vHsOqo6tgvurgaqbYxoEuNMhVQhYPoM+hEq0IXB+ouwTTdYLxKQ8geXR0L9zQ3jl3+5atW5HJsFnP7awABwDGKDate3gzo+5nDlk+D3PaxtDWVEEhV4Nje7IgIgZqzcUD5USH5RNBHB/M5hAWcO/jGXz5+2Ws3epAzGi5o8EcGEC2IqqJ2c02xZmMLBMJi27K23EZMG61o+CNl/OZrHwGYKeBWzmTxqqQoytCrqrsYzQFodUOrXrU2nNuglw2wQ/XUW3VVeahtuYK2AHIfc5CkNcoFve4+MFXx/D+o6ugPgdcHvxAfwYJUf5mH3ELTmQhMQemPYLROsGOcYr1uzi6eheiMl3/zF33PrSZ0leF7+wcHAA6u+bArU/BsvMDe3ZU73/pOXFc3R9EV7OFas2B51uQcyPGLXc8ByWqc8usQB9bhhkefiaLS39WwtotQS3lrOBWYXkE/bzjBcSmBRfp3Bsp3DtAa1oRg1oQWvtkZb15c+hcZuM87o0V15acmKpJ+JhOa8opw9pEb4O44ylCqVAeU4TaOVXcXTmY8tGm8lfAKVShMFcKCmVaCqQIDDWC6UxcYEmvix9+dQzf+hnHo09nsWWIAI6hrlBAVin78gORTwufBIGe4PwJSK286gNVz0dHeQpdcxqw4KAl9696/3sHxienUW7IvyrAX/0WAGA7BTz46P3rBkZLP7zn+ffgil/bGKtUkc245qUxLqaKaJpFC35UCsz4WDtg49tXlXHR9xrx8ua9AbdqB0UiqolNBCwDtHHerekIkOTiBphJfBtzneHpJ/hJVEqJyy2zwjsR7EkBftrnRFAHiAE7Hr00rXg00hnycAqTh3OVhajyyVVVUMySc8OSizrFkrkufnTxKP72wjEsmlOTSeImJ9eUxdOSp4xihh2w1HOqUhdoK0zgojN24cqv9eNdS7I/fHHtfev2BtzAXlhwNXINS9DQWHq8v1fcyvjAWROVR1DIWPB8eQhG5a1sOp6Sm5u0JMgKzPpYt8PGt39aws335FH12SxSYNxyS3BbkNw7EqVELFsQM6gkREJFKylAjHqEQA1vghhIY9TltTiWM4I+cROYWnbYTCcezjetOYdMoDKtPoRKyDJzVeSOxMwjh5wSRZCgJw6V7bQplZxefkhacjWoB3Q0+vj4KRVkbIG/v6qM9dsdWRkE9UgIjitk3wkVoieQTwOLCtiEIMeArO2if+67sGTBkbc65UWPA2N7fS73yoIDwBHLO2CLoc1/dvpRX5o/t7h6x54+7NjdiOmaI/PFhXH3xZ1LVShMPVgOx/odNi79aQk335tHFUzO+LQv4CZGAYNBQXTvwDivTrHeNAJe8zVs0q6Bm6KmxHl4lNbsJdpF2kdiaNlhkMfcPKm8GZZYgZ7H6zhjNZyRguU0ix5U5EcqgOisltwXoSX3agwZLnDOqml863NjsjLINcL6wnQ8uf7dBDLAY1OBos3RW+ZY3tuIuiivdsrHfmnP4NRmQnr3P8ABoKenB4899eiWBfNPXDNePRg7BjOou0F7icADh3qca8Uk7PxqZTg2qWKFu/OoQs2TYyOeyz2b5Q6n2DZkQRrl2ubMAcnOsCIEbtyhNMxyRNeO0ZIIyOPGfR+teaiYJPVv9SayXuXkp+amRINGpoXnIvixkcJlM5eFGIoKNUrf9g7knDP43ILvW7KI2WXICuC8E6dx6QVj6GuvAzXT4QyLlyMAJ7KGJWsJdDR4OObgBVhx+Ko1L73w8Ja29u59Ord7TVHU6O/pQ6mp87uobpnvTe78KMGuyIVR6onKEKTUh8VceOB47LkMfnJLETfdU0CdMNmzOCXkLp2PJLhV+F3XU8IANRABdlo6rElF4pY7opzEtkujLOkqigHyfT2xoThieDUEwrDXwlxvcm0Vljd2NkvbwuCPnhwNEARMhfaV0sIRNO4M9oWMdEpKFLSlQOB8xuiKUMXOhATNOQFKCDzXh235OG9VBeACV93cgKdezkJ2diDyeguuv0+fOwG4vkCpsRkdXX2/6l945He3bt29r2d13yw4AMyZ24Wt6+4ay5cWf3renKkHclk/PLlQ9ERyb8Zkim2VcFx/Rx5nXdyCX91TkMUKltGYJyL/GZ1gY+BWhcNho/pY4TBEhCpQJLk3Mbl3wtmMFivMGPxJ8SnjuStJy58+tHIyozcZt/AkNayvboBo1JNo6S3C1fU6s9VEVB+PaONGDrnZhiJiyXnculvSmnMLnmvB8ik+umoat31vCJ86dRIF4gK+axQvc13QoM5vXTDsqdkPHLa079O/uvm3Y729HW88wAFg2WEfRN+cyUpD18fqVb8DridPgua51IdtechkXFTh4+erC7jkp40YnHDgkrA/dzh9dhzoM4NbheItkrTiCUttcu/4MsTAawIYURCHVtvMNVE3tLnh3k+danJrE9NmTWY0CSsEtqYsBq9OTadF2meiMwhDqpKmvFCDh0dBnQR5mFKr3utIpwK5Z4P4DK1FH5ddMIpPnT6OAupycnnuapoCqIo4jgXdJXzzc2fUd02xyp+e8+HXAtV9pyhqOIXlEII/1tS+beXIwN05zisAhAa3Y9exfrfAbfcX8Z3ryhidVPPjxB3J4D/C0Dt0T2vomkrVDdYsVggtd5SWzGy9Y85gmiUGEjTFdDQRA35izCirzGzKTQutP8fWCRICW5XChgAmWoIQEQ5DAmXFBHmUtihFJUg3CfKqzCafADiFoFxuE9ATQIAHsoyqvUXQq1C2jZMzQlARUBbC5U3oUjQWOL79mQlkLIHV9wusG6QAbHDGZOka4Wgo2DjlA4dPr3z3wsf2JqCz3wGezxfhuZN/Paf/fWJqbMNX3OlnsyQHZGwX+WwVj75E8PdXN+EPz+VR8x05w4LJrTW4CZTgb3p1NLDckV4mJAy5R4M6Iuw+hWRuSdiZSiQ5tn6NkG7DkqeH7CM3xj4T7hi61Reo94BhpcN1Ro13KBkmwK6CJTFJMRYwEkLWdkKQIAfb3DbsxwJAJ0ER9Rs5lVHqYC2BAOEcgtDgSSoBLTl5kJ5LBKiQ/RC54ChnPfzDX0zg5GNquPQaH4++QOFTG9yyILiPw5bOr559+vE/oMz6m1JD4TWf3td+awCw7CLfvO6hS51c1+W54px6xq6jkKvikZcIvvHTZtz1eCNqfh6wsgDNACwDMGMakVhb43gAR5WcKVpCYaolSFpoZfxjEcpXy/me6TVEdAhkE9upoEfyBng9I96iw7Ss2hE1aEqYmEUStMOUDMMWImq7kH5EeLkwEre4ESTiVFcDyQSuaNmboim+HyornmfD8xzUXQc1NwtGMjjpSB+XXzCClctGgdo0puscC/u76/P7Oi6/484HLy01FPjen60UjL7eC1DITdY56bwsix31oUF8++o7LHrLA214ekNRdkZU1e4wLLT5vA+unxmYsRA6kCpCaVbEa0uOKPfW1AQhUM12EKY0OBMdiYTfY9uFoCVIs976BhAzAN5EaQr4I7JezJJHQvURS64+yw0EUeDmwZTd0cAQMd6rlFqGWIEEpEJCaahsKArFQRF0yAFH2DQo+FaZohuca52TFOwsl8v1ni/geg6Y6+PogzxcedE4bvxDHasf7+dtne3fntvV+c+bd43UXy8+94ONAbas+wXamjLL73hgxzOf/JunWcUrwsqwYMo5+TUibUcSUoqAhYfJUoiCPk0OVPkmmn/PMAW3OUFWpLKemtsQ/Znpyp9wmbleLw/y0OX2xJicigTbBD2vaXSd2ifwo/X36aeTnrwr9neZE3upv0f3V1fv1TaqLZ6KKCOYotHsMsaNY3F9TBrJ44/2tklUbJnFLsZyvQwiBWXKP5DbUQJkHReVahUPbDrD3zm55F0ZNvX8Z//bua8bm6/bggPAtFiCbHPxFSvX8/lPnNn8kzv+8wmqetP5IpxHXIAY5RHhHRaw8CiAEVU/tByIpCMZcTaBFBoS5d4RK57ihKrfFYlgGuuSFyw6w/E+D/Hqu0VzUOJOpwq1Jy29pjRBtpWprhASOqfQjqeayCpwOAOTHy+15CKggyIsM1Pfo5+YgAa4lEOJ/lvMwJLPKUbGGVq63sPff/Syz7+8s/+VtuLg/oDm/gH4kkUr8OhT6+pnnHTMNc+t2ZQ/bEHTFS+u3wVOHXjBHCo8cGpUWqRJrHRXV4OuhA6i0ZjHWEdjoE2ryknwb5N+wNwu1L8TOd8Jh3LmOXrStp91GIEbRW1CUBrrA2unQRmI49rBNJxDU00JAz1qXwVCIxBEYjcMiPFe7q88gYQ/oOpyAZ1Rql6hgU8QZkBG//ucwOcMtZoA7LkYnSp/beH8D1xzSHatX2pesT+guX8ADgAr3r0Qm7YM+J87/9T1C/o6J/71l3c1DAxOwLYYPJ/AFyLSL1pVbWgLnsp9o23U0nJKErq2wlfcKs9mhQ23IJESi+gxzH1jdDxx2PQFBkBiq8PPAXcGDGAm1RBlkbW6YVrsgIMLISI3irbk6rNp0QF9MwAqeqnew9Aygz86CK0qY6UL4IMbkgg9471uOKSCSEIQeD6D6wJgTWjvWTXR0nXU+qnxXX6pecn+guXrU1Hio6GYw57hyuoT33fUhed/dNVwd3sDfN+HxQQyloDDov1KpPwX5pNYRGaRRSaFSgN3zJFMyxYMQSmvHIUByIjlJ+n0BEgHtAlCA9zRcP++ExYziLMX2VVQfk1Y0BB2vZL7EP1egV59EMYxk9FPtW1a4CjWQUspLbq/Cg3L4XSuStRiez6D61lwfTkDs2DNaO/90HB7z5EXgo+ttuzc/oTk/rPgANDS3AgAGBkZu+Hc04+1pl1899ob/9BWnRiFxQiqHsDdsMUuhVF9E6AhDog4FwZEkkfH/iveHrfKphWPS4GRaCaQoDVx1YSk/EgSN8nJLZMjtk+EooSYjKXERq14ZH9FTUgUsGG+iklTRJhrYjxRhUGH9DLzrlCPFKWwGCKCbJwZOpkUAtD8n8J1GWquBQKOUqmIxq4PDDZ2vu8bvu/ekCvufZbg3o79asHVaGoqY8+kd93ppxxzySnHLx3saCQoZQVsBtQFQY3LRopAqFowGp0vPl4vGaEyESsctd5qHZAO/rS8koiMl2LKTd5tWneiLjai2+uPe2G+RXzXeEQzZr3jlj5ieeOvMcseinmxdZHt1XckMxb1yTE0dzMrUTmMan5VJTlSIqdiJ1TA9SyMTWSxe7gAkj9isL3v2EscZ+q6XL70RkDxjQE4AMxtL+H3d997zcLuwtdPWNE7vKyfYLLuY+eoi+FpjmoQG2YBLZG53aGMlaZcJMRGZcFii/SlIEn1BJHjBf9FCHj5Em0XEa4LyAmJHgPG+lQL/yojCizjb5phuVlzqYsZ0vbX8kWQKmtWSQAR+gGDckDfFEoHj1EW03FUywOK4nMCj9Ogp7w0DIz5KBWm0dUygmymgmdeYRianjc8WW37+rN/fOgaQlv3PwCDwV7/IWYeN//6/+Kzf37es81Nxa1jNffk4bHdmbOPGwGjdWzclUPRIchbAg6T1p0anEBfwGBo9YSETma63p38H3a0im9DtBYdOWagVevUGBK09iUkWBZq4kQfg4Ao3dvYTnP8xGuKz2DQoIhvQIybLvK74vuT8DVS9EHStw0acc/8G6JPxURimhpG8hX3w+lQQACL+WjI1/DEK3Xc+lAGDhMolrsnqNN/4dAY+eWJJ58p8AaO/crB08bj68a4y9mvsoVO77+fxn5+5PzHs449hYfWNCHDGHJBzQMgy55cLuAaDpI+h0hxAhE7+ZF1RuQS6bwb5vHiPF3vR6IXeYa/k8z4YQaqkuDOsUUxDh7ZzqQhJPYE0NybIJzk3eTtRB9JZoAaKgviqkz4iIz+XCN4YzxVfJ8EzqOcQdbmBJRyOLaPh15wcN3trfjiuYuqHzw29z/m9+6+eXgUrysMvzfjDaMoavztRZ/GiQcX/d62Q29+z6GdH3cKC6vjFYGsBZSyHMUcRzErUMgIZKxgZlyoMLLRBCaFisRZR2RdnD6QlPUm1TAAnab7pW0Lw8pGHWFj91m4SkT1QPg+IaQYzmEy1TB2TIOWmKF3c/t41U/4W8zccGLQl+j3BIQlEc30OUXdZZiqWpicdjA5nUFlOoNqzYFtcRxxcH91wu37eD5z5M233NPv9x70ldcPsFcZb7gFB4DjT/wIdm+4xm/rP/aWH1w98cl1u3PXd5X25FvzAvkcgcVk7sN4RaBSJ3B9groxF6IK4XMQzcPjAI+A9lWcTBORMwGSJL4j3sbNvIGSd8TeTikYsZqIWkojyBi11uarVk2imrd5bH2DENXbUGngQgd/CJHKu1aCzKCTcW7NPBOVIqCw71KGas3C+JQDnxNYjKNaY7BYAR//UE9l1WT2/JXv/dNbXHGj+M5fffTNgN6bA3AAaJ//5/jYxVeLi47O37RzUcnqb8r+ZHx4R9mxCRxbzqfjCxcbhjhGa5KQWxCwKaAmKWIkYbAA8+SrzwZI4pYXxjaIbZ+gQGnOZKiCp77G3+/LiEQ0EQLSBF3kFcllpoIy002jqIdUVGIBJaTQJf3ekP/0xL+yuVMuUwdjHrbszGH7oA0QAptxZDMWssXlY012y+f+7bqDbxITl4M0fOM142hfxxvqZMbHcw/dhp6jzsZJKzrWdHU07+jv6zwefDqfczx0t9vo6aygoTSEdQPAaNUGp1TLhiovJeo8Cpjz6phJV5Hih5RtiEp+ImHSEzGcyzBpKlwXX0ZjTiWd1amc3ckEEH16pDwtEgEqJI9DzeME36Ud5MQx0r6P6N8SVkGFs0GrBC9GpfRnMQ/5TA11r4K7nhB46qUsdg85qFQ5MrlG9M0/dMjO9Xx56+62X56yagNa+77wZkLuzbPgalz69fMBACMjo7+wLMt67tnHL1v7/B/actYIlva7+HjjBIiYxnV32nBZFh4FbDO534jvp3n8szmCatukvBe78PF91GbmE0ADIaA6CMEdcvOZf0mqETbkSpOKaEusnEQRhtsj5jaSd2I6iKGlJqbzGfkRRvAnWBcmboXH0pY8oCiM+Wgo1PDvDwr83bXtaM3nsahzGn1zmnDoYSsHj1m54q88z/tFqdz4ZkMNwAEAuBpNTY2o1yrXHnXUCtLUwL8ztO23bYXcGPLZOnpauJweA0rjDS6UuqjGiPQ3kVuF4CczWazQSiWsZTAi+re+KcjMFjf4aqTeIClAFyHdUtQgjlcTZML4Pr1NgoeHN4Gq0JmNwiisq+m3dXs3dbyYkhKhKcahGfOwY8hCpcox4Lvo7y7hhBPeN7hy5TGXcCGuPVDgBg4gwAHAyeRRrU5d07/oSK+lqXrFto17mmojgxCQHWQtSuAEdCN05OWpncnBjHPx6JvosohVNsCqwKyPnYBoaKHl9qHDOpNqYi42rbJcEL4YyYKB4QzASqLADCW/sEdh2mPBLG3TmX6xr1ZPD9XXRih+LhBy9PBkaMeUq4COkGJcZ9sUFvU34eyTTxo54bijLhaC/7xYfO3lZvtjHFCAA0A2W4AQlRvK7UcNb9y6ZkFT08LL6+6DNiEUZUsgx0RkBi7ZWTo80YkmP3vh4ambQCDQSWPeFIltl0qFjN+QSncMzj3TMHGpdzeeUiFlIeEHhXwSPtU0azEs9Ow8LX0hF0LOikxls03ZsoRo7ZxAgBFZi+lzCi/IDnTrsnf4qSe9z13Q5X/95BMOX+/T/G+KRRsHehxwgAMAIXkuxDOrj155vrNl25pKS0/rVfO6XyENrEoFKPZUKKrB3IiUiKD6zahyiYGb7OXF1cDVOljKdnFwGwsiN4JJfwjSj2WMCLhNOdD4HKEUKSA2k69MLg0iEkA3E67ShuLtPKhaJkQGawjhYMFhKOVBT3gBz7cxNpmF5wOObfMzTzxcbJs67AtD7jHXP7xmU/28E5vfbBiljrcEwAGAkHfh3kefr5eL824oNFm//8gH6LmVsd3/c3hoK4a9aTz6Yg6TJItMMDuXatdm0bAuMz4iUTkkrW1CpUC4LMnNQw6TmCQWUX4eb6+c+pv0Amggm7xcO3gIgzxh3SQS+eCKikSjoyGXDqOTsfNuvKqEKj8AuxAcchIqLhudUoGs44KyCh5eU8TQcBN6uueg6Jf+bvniuTcts5q3cv5kPV8+4kDDSY+3DMABYNWK5QAwfe0vbl7b1TX3ss5FTQ4Tpb/uLD/Gfnr7Ttz6aDd84QQJWrLNis0Mji7CJjYAQjUieK8WphnYqOOYNPMJahIsjKsmUVCTyA2VGKbTHBM2RArYIymyel+T5CR18KhLGP2z0lQnzsP8ckoJAA5KZBKV7H9Sw+pHBG64sx1nHXuQLzJd/7D0yJbLnn5szH/3iqUHDjwzjLcUwNX49Cc/gt/cfrt/6mnnfmtibNjyxpu+9rXy7zIPvyTgVTlsJtusZGwh2xsGAPB50NcRIWVNdST3gcpEHFjEtGzELHnwZak3Q2wo+kBE9PsEgq7EQk/xHs01MWiK2j5CVYw/IJEXnrDeMmCjDiTng5c5JbIcDeBM/gG2xcF9gtFJCzfe34tjjvlQ7RMfe+/3W9tav3XHHbfjwx8+60DDZrbL+NYctekJONkJQDjfeXnD2pWf/Oa91KpVV1bGhqzmBop8hsJi8gL6vkDNA2ou4HoyrE9JUCFEAZsBjAFMB2yi2YWyG5P6THSwhzEjwENJUPkeq5jXAI/SFMRBbqozEd4es6imAx37nSx4YrGgwp6xsMKeEgHKzE4DIqzEJyo4I//bjAeBGhmJFILA9RiqdYa6K8sMIQDLkrSkmKugpaXo5fPi4d3iz3hrx8EPj1fJJb1NAo2Nb0wu9/4Yb2mAm+P7//IfcBynYXx84mcbN2w6b2J0JxVeFY5tydm6PI7xisDwJIHLZZU5ozJT0bFkOq4dAFy1bIj0CtdRyRC0GuBBiwhG01pDxMFNUkAdnu1I/X0M5KYyFI/AqpYSTIFaAVy1i6Am0BG0hYAOq7Pg5mBUwLZ82BaHY3HYlg9myaQ+17MxPJbB+JSFukvBOUDgoVxy0Du3kXd0zr3RyRY+6/veRNf819/S4c0YbxuAA8CzL2xALptt3bZ9x5eeevKpg936xFmbNm6E6xMAFNN1jucHPGzfw1DKEhRsjqwNZG2ZqWhbMrGLGfnhILL5GCLAIiGgGNHgltaSGD1SlCVPUhd1diMUSUcYjQsQ20ZTn0jPFgQhcmhAmxbc/KxTGIzjqT4ojApYTMC2OTK2j4zjIevIJqnFXA3bBzNYu7kVlaoDz+OYrPjo7ZuHro6GW5cuO3RNc0vnlfV6dU+pacGBhsJej7cVwNXYtm0bcrlC3/at637w4kuvnPXI42tAxBTm9wgIZxA/+g8Hu4bKaC8IlLMCeUcg5wCOAXDtIJoKSwRQAcVhBIyRAFg0ABoBDd6bDX8izmfwW83+3mkA1ysMBzX5W0xwh1ZcAhagTPoiGuApqpKiKJYl4NgcuYyHfNZFIVdDU2kKO0en8ON/bwOtNWFOK8OcrhJaO5dgTs/CW5cvW/zlicmpzd3dcw70pd/n8ZZ0Ml9t9PT0oFoZ2bx8+UEXE5a5obN73pdG9mw4PsvXoL+zikfWVHDT9gKmszYauK85q8UCwAZZ8DpzLpYfHQlxB0MnLlFZuaNvAmo6nFEVRed+QOZ4mEMYmqDOGBHR74pHYE3pkhrOKVH7IwrusCSNwCeydQfAwaiaxlvAtjyUClP47ZNy+vTjl2Zx/OLlOOrwJfeB5a5sbpv37ETFe1uCG3ibAhwAsvkmAFgnhFgHYM2aZ3hXuWH+v9j+IwuL+QcZ/CqqLgMtBHKiReDYBFbgNErVRQRN10UYNQQJJ2+SHzV4TVpitmMLy9aCfYyCA55U6CJDy4GBamKCNGx9Z4CbI5DvwoPGsyiV0yiAoLmOlP4oIeCW3N6xKYQAbKsOIWqouQ04+0NH+2ccv2ydzby/WHrwigEAa2eLxL4dxtsW4GoEF2Dt1OTIWsD/oD/tz/nqBSt/3dNzZ+nnqycKFFVkbSDvEGQzBIzJ2ZF9X0jFxRdyrkcVDCGKLsimlPI7Qikw4mxqwBtdAGDIekFegUhBODEy/DgPw+7h9xEp4fGoGddhebUtwl6DKpWVqIilT8A5UKtLkAPQxSWMUeSzBJlMDvevWzl13HGnj88doOccumzBdsemm9/uwDZO2TtnBDSAAsPlR57c8J7BEfavr7y81tu6aW1zdWqsIeNAV7FwTjA87mGi4utWwoQEDYgCKuPYJLD8FLZFYFsUjFH5FNA0xcgpV78DEkRqRmseIF5THL2NkNtxAc6FpjGqgNls+skoCX5XqAw5joBjCRkPsARsi4ccHLKD2NikhaFRCtcLpENG0JCnmNNVnli0qG+4Z+48a2iCfAaZZY/0dTWMeR64bb9zYPG2t+DmCKwOf2n9zpG2tv47KRtbfP6FN9YeXv29v3zm6Sc+MbBjizs0PHVQxvGzNp3AztFp7B6zUMxKXk4gJ2ESkIA1LSolBJSRiNMZ0agNK86FAe4AvAiOgeDYSjrxuYDnc/h+GFInRIQzIwQcWkVqCKQ/oap1FTWxLQ7b4oEFByjhyGddTFV9bBoooK25jKayXeUk91Lv/Hn2EUccccMLD1z0T739/5Tp7ixVOR/nhLx19ezXOt5RAFfjoAWdgMRAZePGzbAs63KLscvnzF3I5i8qXNWQqy/O0xePzTQ8z37+mywYFajV63B9ioxDkYVM7OIWoNQNxggsRmEFSoxqR2E2LqJM6LK6uktQrUt93ucClBLYIKCWtMKUAl5AlTyPo+7Ku0lr7kJACCrnTBVCtkFjAAgBZYAd0B8SSH+OxZHNyLlIp6uAYA7yeRdrdxHYxT7/sMMXP9DbnVs7MVH5/GTF820ni+XHXyUKjXMrB/p6vZHjHQlwc/T39wGhR+ZVK2OfFSTf5JCD/pEVXOeeJyv+u+cVDufUO+Lex4awe2QKjQWAEQsWoxAOQCmFZVHI+tFAZgxUllChEbAtwLYl4IQQcD2OXXtk9UvGZmBZGRzKOEDGkZZ20wDHyLgPAQGLElgWYFlS10eQB04E4IMHziKTKogliQ6FAKM+LFZFIVODlXEwON0Li2efEHTHkyzfyz71J2fXly7o+ObEVHWktaV8oC/JmzreOWTrNY6Na38PSsjxQ1NTJ9/zaPWcidHpJfAqWPfKWljUByUuClmCcoOFctFCLivLyD1f/qcq6csSyDoC+ayPYs5DU3kaW3ZP4vrVzWguEpQLDKUGG41FhsYGgcYGD82lGq75XRXbBzJoKRIUsgS5DEHGVk8KyfV9X86IACKTzLIOUG4gaClTNDfaKOYJ5vbOQ2PJgmCZl/+4vuXX3G+4C0Tcd+5pxx7oU3xAxzvegr/a6F98AgDcN7B7+L5P/Anur9e9BYODQ/zq6wd4T3dLf++ctr8aGhxAc6MDuLtA+BB8n2PjDhvMspHP0kDZkFXm+ayHplINcztGMViZxPo9LYCQHLmQl4GZQo6jtbGOuR2jmKzXsW6oPeDvHDajcCwB3xegRDq3BB627a7D9wT6elrQ1z8HDTmB+fO64bt7LvNqezbO6T+OFhuaKIi9/rRe3JnJtRzoU/uWGP/lAa5GV3szANypPu/atRtOJtO4Y8fAwy+/7KBctNyO1gVfcSz/JJ97aNtK8PJLa5CzJ2ExYKJCUbY5ivkaysUx5JxJVKensWdoCg4cZBhQyssMv5xTR3PDKFrKu0BJFuMTHDuYQD5jo7uQRVPJwtS0D0qB7q4mHHnEodg6KGdeyGXo3RatX5HPCrtv/lK0tnXe59bro+WmN66/39t5/H+AzzA6OtoBYBTAbQAwMTYAAC8R+B1ceJzmObZs2YQMqYIxAV5hqLs1d/FB77405+w8zaJVt7PLxbErSygViljQStDdaqO9mWFuex09XcNoKLfgPUc0geZbUSpY9qLuhtt3b3zi0nwub1ddDwQCDcUili5bhu4pCwCoY7FdAtg4r7frQJ+it8X4L8/B9+eYHLwLAOmAt6ns+654cbOHq3/noJhrQH8TQ0czQ0uZoqvVxZz2YeSKI7j+jhY8vb6MQt4hhy3sGuNC7PrU2e890H/KO2b8P7PK4yS89lwYAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjMwOjAxKzAwOjAwnAmvAgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzozMDowMSswMDowMO1UF74AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 25618087
{'hecke_orbit_code': 4506966915285817, 'n': 1, 'trace_an': 8}
-
id: 25618088
{'hecke_orbit_code': 4506966915285817, 'n': 2, 'trace_an': 0}
-
id: 25618089
{'hecke_orbit_code': 4506966915285817, 'n': 3, 'trace_an': 0}
-
id: 25618090
{'hecke_orbit_code': 4506966915285817, 'n': 4, 'trace_an': -6}
-
id: 25618091
{'hecke_orbit_code': 4506966915285817, 'n': 5, 'trace_an': 0}
-
id: 25618092
{'hecke_orbit_code': 4506966915285817, 'n': 6, 'trace_an': -6}
-
id: 25618093
{'hecke_orbit_code': 4506966915285817, 'n': 7, 'trace_an': 0}
-
id: 25618094
{'hecke_orbit_code': 4506966915285817, 'n': 8, 'trace_an': 0}
-
id: 25618095
{'hecke_orbit_code': 4506966915285817, 'n': 9, 'trace_an': 2}
-
id: 25618096
{'hecke_orbit_code': 4506966915285817, 'n': 10, 'trace_an': 0}
-
id: 25618097
{'hecke_orbit_code': 4506966915285817, 'n': 11, 'trace_an': 18}
-
id: 25618098
{'hecke_orbit_code': 4506966915285817, 'n': 12, 'trace_an': 0}
-
id: 25618099
{'hecke_orbit_code': 4506966915285817, 'n': 13, 'trace_an': 0}
-
id: 25618100
{'hecke_orbit_code': 4506966915285817, 'n': 14, 'trace_an': -12}
-
id: 25618101
{'hecke_orbit_code': 4506966915285817, 'n': 15, 'trace_an': 0}
-
id: 25618102
{'hecke_orbit_code': 4506966915285817, 'n': 16, 'trace_an': 18}
-
id: 25618103
{'hecke_orbit_code': 4506966915285817, 'n': 17, 'trace_an': 0}
-
id: 25618104
{'hecke_orbit_code': 4506966915285817, 'n': 18, 'trace_an': 0}
-
id: 25618105
{'hecke_orbit_code': 4506966915285817, 'n': 19, 'trace_an': 20}
-
id: 25618106
{'hecke_orbit_code': 4506966915285817, 'n': 20, 'trace_an': 0}
-
id: 25618107
{'hecke_orbit_code': 4506966915285817, 'n': 21, 'trace_an': 24}
-
id: 25618108
{'hecke_orbit_code': 4506966915285817, 'n': 22, 'trace_an': 0}
-
id: 25618109
{'hecke_orbit_code': 4506966915285817, 'n': 23, 'trace_an': 0}
-
id: 25618110
{'hecke_orbit_code': 4506966915285817, 'n': 24, 'trace_an': -10}
-
id: 25618111
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