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{'Nk2': 30968, 'analytic_conductor': 61.82018124487527, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [7, -1], [79, -1]], 'atkin_lehner_string': '---', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7742, 1, [2845, 4901], [1, 1]], 'cm_discs': [], 'conrey_index': 1, 'dim': 9, 'field_disc': 4860168682443520, 'field_disc_factorization': [[2, 8], [5, 1], [2843, 1], [1335563413, 1]], 'field_poly': [-108, 72, 342, -212, -184, 105, 34, -18, -2, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [108, 72, -342, -212, 184, 105, -34, -18, 2, 1]], [5, [-1440, -3680, -2512, 552, 1056, 140, -120, -26, 4, 1]], [11, [1536, 6016, 4624, -2128, -2088, 221, 232, -22, -8, 1]]], 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529534, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 2, 'hecke_ring_index_factorization': [[2, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '7742.2.a.bj', 'level': 7742, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 79], 'level_radical': 1106, 'minimal_twist': '1106.2.a.l', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}-\\beta _{1}q^{3}+q^{4}+\\beta _{6}q^{5}-\\beta _{1}q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 9, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '7742.2.a', 'trace_display': [9, 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-0.361042656127253, -0.20850954315432071, -0.13413218652665693, -0.2935343193954446, -0.11469078801559068, -0.26386481557923364, -0.2842581315086147, -0.2794600299091692, -0.40182692398308434, -0.15600973623821796, -0.39043456224387024], 'char_orbit_index': 1, 'conrey_index': 1, 'dual_conrey_index': 1, 'dual_embedding_index': 8, 'dual_embedding_m': 8, 'embedding_index': 8, 'embedding_m': 8, 'embedding_root_imag': 0.0, 'embedding_root_real': -2.2954368686826334, 'hecke_orbit': 36, 'hecke_orbit_code': 157625986991529534, 'label': '7742.2.a.bj.1.8', 'level': 7742, 'weight': 2}
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mf_newspaces • Show schema
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{'ALdims': [29, 37, 37, 31, 35, 27, 32, 38], 'Nk2': 30968, 'analytic_conductor': 61.82018124487527, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [7742, 1, [2845, 4901], [1, 1]], 'conrey_index': 1, 'cusp_dim': 1105, 'dim': 266, 'eis_dim': 31, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 11], 'hecke_orbit_code': 33562174, 'hecke_orbit_dims': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 3, 3, 3, 4, 4, 4, 4, 6, 6, 6, 7, 7, 8, 8, 8, 9, 12, 12, 12, 12, 12, 12, 12, 13, 13, 16, 24], 'label': '7742.2.a', 'level': 7742, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7, 79], 'level_radical': 1106, 'mf_dim': 1136, 'mf_new_dim': 266, 'num_forms': 47, 'plus_dim': 119, 'prim_orbit_index': 1, 'relative_dim': 266, 'sturm_bound': 2240, 'trace_bound': 11, 'trace_display': [-2, -6, 0, 0], 'traces': [266, -2, -6, 266, 0, 2, 0, -2, 262, -4, 4, -6, -12, 0, -16, 266, 0, -10, -12, 0, 0, 4, 4, 2, 250, 0, 0, 0, 6, 24, -16, -2, 8, -16, 0, 262, -22, 4, 16, -4, 0, 0, 2, 4, -16, 28, -28, -6, 0, -54, -16, -12, -2, 8, -12, 0, 0, -34, -26, -16, -2, 16, 0, 266, -44, -16, -4, 0, -56, 0, 28, -10, 12, -30, 2, -12, 0, 24, 0, 0, 250, -24, 12, 0, 24, -14, 40, 4, -8, 8, 0, 4, 64, 36, 60, 2, -16, 0, -32, 250, 20, -24, -28, 0, 0, 22, -46, 0, 50, 36, 4, 0, 20, -32, 16, 6, 4, 6, 0, 24, 290, -2, 64, -16, 0, 0, -12, -2, 24, -32, 56, 8, 0, -60, -164, -16, -64, 24, -18, 0, -32, 20, 12, 262, -36, -4, 0, -22, -10, 26, 20, 4, 96, 0, -124, 16, -54, -4, -32, -4, 0, -58, 0, 0, 48, -12, 4, 0, 298, -32, -24, 2, 2, 56, 0, 4, -132, 20, -84, -16, -16, 0, 132, 28, 44, 0, 96, -28, 0, 76, -48, -6, 96, -12, 196, 0, 58, -32, -16, -54, 72, -40, 0, -16, 56, 68, 4, -12, 72, 0, 2, -2, 144, 66, -36, 8, 0, 10, 4, -12, 0, 44, -28, 0, 202, -4, 58, 0, 2, 96, 0, -34, 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mf_twists_cc • Show schema
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id: 48855819
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 157625986991529534, 'source_is_minimal': False, 'source_label': '7742.2.a.bj.1.8', 'source_level': 7742, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 157625986991529534, 'target_is_minimal': False, 'target_label': '7742.2.a.bj.1.8', 'target_level': 7742, 'twist_class_label': '1106.2.a.l.1.2', 'twist_class_level': 1106, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 48855820
{'conductor': 7, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 157625986991529534, 'source_is_minimal': False, 'source_label': '7742.2.a.bj.1.8', 'source_level': 7742, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 2, 'target_hecke_orbit_code': 49539595934630994, 'target_is_minimal': True, 'target_label': '1106.2.a.l.1.2', 'target_level': 1106, 'twist_class_label': '1106.2.a.l.1.2', 'twist_class_level': 1106, 'twisting_char_label': '7.6', 'twisting_conrey_index': 6, 'weight': 2}
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id: 48855821
{'conductor': 21, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 157625986991529534, 'source_is_minimal': False, 'source_label': '7742.2.a.bj.1.8', 'source_level': 7742, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 175640385501013730, 'target_is_minimal': False, 'target_label': '9954.2.a.bn.1.8', 'target_level': 9954, 'twist_class_label': '1106.2.a.l.1.2', 'twist_class_level': 1106, 'twisting_char_label': '21.20', 'twisting_conrey_index': 20, 'weight': 2}
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id: 48855822
{'conductor': 28, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 9, 'source_embedding_index': 8, 'source_hecke_orbit_code': 157625986991529534, 'source_is_minimal': False, 'source_label': '7742.2.a.bj.1.8', 'source_level': 7742, 'target_conrey_index': 1, 'target_dim': 9, 'target_embedding_index': 8, 'target_hecke_orbit_code': 85568392953602704, 'target_is_minimal': False, 'target_label': '8848.2.a.t.1.8', 'target_level': 8848, 'twist_class_label': '1106.2.a.l.1.2', 'twist_class_level': 1106, 'twisting_char_label': '28.27', 'twisting_conrey_index': 27, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 4558400
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 157625986991529534, 'p': 2}
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id: 4558401
{'charpoly_factorization': [[[108, 72, -342, -212, 184, 105, -34, -18, 2, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 3}
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id: 4558402
{'charpoly_factorization': [[[-1440, -3680, -2512, 552, 1056, 140, -120, -26, 4, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 5}
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id: 4558403
{'charpoly_factorization': [[[0, 1], 9]], 'hecke_orbit_code': 157625986991529534, 'p': 7}
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id: 4558404
{'charpoly_factorization': [[[1536, 6016, 4624, -2128, -2088, 221, 232, -22, -8, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 11}
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id: 4558405
{'charpoly_factorization': [[[138872, 74048, -35588, -19894, 3302, 1853, -134, -72, 2, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 13}
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id: 4558406
{'charpoly_factorization': [[[384, -18400, -94936, -4394, 17302, 2357, -614, -96, 6, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 17}
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id: 4558407
{'charpoly_factorization': [[[-5632, -36096, -61312, -29696, 5424, 4080, -188, -120, 2, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 19}
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id: 4558408
{'charpoly_factorization': [[[746496, -1349632, 703104, -79680, -32096, 7376, 340, -152, 0, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 23}
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id: 4558409
{'charpoly_factorization': [[[110592, -174080, 57792, 27360, -16112, 200, 834, -72, -10, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 29}
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id: 4558410
{'charpoly_factorization': [[[7240, 6160, -5792, -6010, 572, 1481, 192, -64, -6, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 31}
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id: 4558411
{'charpoly_factorization': [[[-3963424, -1675360, 3199326, -113260, -178234, 14225, 2474, -230, -10, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 37}
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id: 4558412
{'charpoly_factorization': [[[-31296, 93856, -72112, -9448, 17904, 2076, -864, -102, 10, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 41}
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id: 4558413
{'charpoly_factorization': [[[-256, -1920, -352, 2944, 864, -1000, -86, 132, -22, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 43}
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id: 4558414
{'charpoly_factorization': [[[153600, 332800, 165632, -39680, -25600, 1472, 1048, -52, -14, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 47}
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id: 4558415
{'charpoly_factorization': [[[469800, -4406600, -22966, 1306140, -337236, 9745, 4038, -270, -12, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 53}
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id: 4558416
{'charpoly_factorization': [[[1824468, 6366272, 3198162, -1314184, -108318, 39317, 884, -362, -2, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 59}
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id: 4558417
{'charpoly_factorization': [[[-2560, -3840, 41312, -48192, 1376, 7024, -638, -186, 6, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 61}
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id: 4558418
{'charpoly_factorization': [[[56138176, -84404192, -2510768, 6789036, -786968, -36411, 9260, -210, -24, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 67}
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id: 4558419
{'charpoly_factorization': [[[16390656, 18354560, 5051040, -459644, -250220, 7885, 3924, -146, -20, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 71}
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id: 4558420
{'charpoly_factorization': [[[185857792, -114028800, 18789184, 1376064, -617328, 25808, 4988, -352, -12, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 73}
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id: 4558421
{'charpoly_factorization': [[[-1, 1], 9]], 'hecke_orbit_code': 157625986991529534, 'p': 79}
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id: 4558422
{'charpoly_factorization': [[[460800, -281600, -412416, 303424, -37584, -10112, 2004, 32, -22, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 83}
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id: 4558423
{'charpoly_factorization': [[[-99702528, -81147904, -15971264, 1740224, 655216, 7904, -7220, -304, 20, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 89}
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id: 4558424
{'charpoly_factorization': [[[-428032, 379904, 253440, -138368, -50080, 8784, 1696, -240, -6, 1], 1]], 'hecke_orbit_code': 157625986991529534, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 36, 'label': '7742.2.a.bj', 'level': 7742, 'portrait': 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FTZtt7nkk0RkxMxZxYFra7HxZtjMBBpOHauQqdvaFYFtUAgSQjDlGYtpd0LODYHQx2gjWH35ohOL+X0gsdUw+eizQkXbOhSrw0R0hBFglavynwrYKom8KXP6bmAg6cER88mHF9MCKs93nh9l2+5AUI5yb5jTY6fU5zJmHvecGDB8Mor5vnZ9y2zeWqSY2emObtYZX7Zd0SRsrASM7+ccGJRs9iv8q++y9c/cPvOP5/eOPVDphe15fR3v9yQ+Bvd/l4DfGmpxemOoBGYXzhy5IVXN6Lflw8+23t1wz/u3XFrnWNn1jO/3GB+ucLcssfCimBpJWWpFbPYSjmzAocXBevXrfBz373Iq3bVOHFumtNzdU4veJxbNJxdSDg5nzLXSZicHvCaq7rcuBsCWSVUIeeWKpxZ8Di7JOgNIUk0lUBTr6RMTSRo4NjZhHYXtm/wqVeHGCNABHT7mgs2Dllc8cBYKbLShWECBsNSK2LLep9OXyGUQeghzYrPBZsGrPQEx057pNpjpilpVAShD0ki6A0lZ5ckZxYN55YTwnAAfsJNl3d59RWC2WaVxeUmJ86FnF6AcwsJ55YSTi3BoUXDKy9f4D9/9zKbJpscPzvNucUq8ysBCyuWJJbaMYuthIWW4VRbcfxcwrfdcoTLL16XPHZ029d+56e/VW/dctnXhIx/Mo7qBGHz5YbKeW9/b4PM3/jdv2R6eoIzZ+Z//nc+9uC//cRnvxZu3rACdPg37wbPj2nUBgwjnyiWRIkg1R7GKAxgAESKlIbDC1P85z8V/Pw/P8e1OyIa1Wnq1QbNWkij5jPZVJxbVJxd9vjSwxXueijhkm09dl+UsLTc57JtQ977Fk2cKASGz369wlyrQjUdcvSMotttcPXFKXPthD37fHZtkxw4DTddCq0ORNoj9CLW1WH/qSq1akyoEiYagpUO3HBZh0MnQ3Zt1xw5PeSFQ/bf87cNOHTOMNEYstSO+NyXahihSNOU267pcfO1hrMrPtfuHLBzs08SN+n1q+w5XOHsgmB+OWVuOeHckub4kuBcN+KaXYv8p+/qsr45xbEzk5xbqrKw4rOwIllqpbS6Me1uSrtnaA0kywNBYhJWOoJX7jzqvWrX3K3V7kkWjr/l5sb6b9bVevOnDz73cS6+6l0vN2TWvP29ZPAP/+knuOW6LeoT9x74T0eOnfvpx547po4vxCxGgjiKuObiBf7vH1nguournF2cYnGlwWKrwlIrYLHlsdyB5VbKcjthqZOw0IITywKvOuDmK5b4zlsjdqyvs9JtMrdUZX4pYKElWGppFlua5Y6m3de0h4beIGGmGXPBBg0IQt9wcs5HyJDt6xU7Nhs2r+9xbnnIMwcaXHeJoVZd5vmD0zTqEVHkMzOl6Q/gsgsGfOS+SS7dljAcGtZNSOK0T6MS8sLRAVW/zjW7Ep49HHFuMWDLTMiOTXDBxgilYk4uQOAbhDBs35Aw1ZB0+iHdnk+757PUViytwGJLs9RKWWilnG3B4iDlgi1dvvO2BW7e7VHxm5xZaLKwXGFhxWOpLVhuaVY6MUudlOWOYbEDZzqKuZWYGy87w/t/ZJ4rLwzoDaq0ujVavWlUuCv1q5t+/tjStf9lff1AesNr3vlyQ2fV7e8VwPfv20+lUqmeOn3ygkcff+7d+w+d/q8v7D9JlCjaQ8HyQLIwEKz0Iq6/+By/8iNLvOKiKnNLUyyu1FnuhCy1ApbaHsttWOloVjoJK52EpbbhXEtwumtAdLn9tS3e9irNRZsqRFGN5VaFlW5Aq6NY7go6PcFgaIgSQ5qCkobQh2pomGwa1k/HeP6AQ2cinjsYopM6b7khwvNXeGLPBBdugs8/mvDaK0PmWn0qniJJY6anIIl9PD9hcbHGa65t8/mHG+zYBI8fGOJT482v0iSiz3OHUo6crODJgA1THlN1QTUUBIFACUg0RLFhEEGnZ1jpajo9zUpPs9g19NOU7Vt7vO3GFre/OgLdYHFlgrmlKost3x6nFqx0UlrdhJVOynJXs9wVnO4o5tsJ1+86x/t/ZI6rLgxZ7jTp9Kp0eiGdXkCrI1CVC1Dh5v+4buPuv9iyZcvx4XDQv+SSS19uKOW3vzcAP3H8ALOzs8HBAwe/d+++gx/4+qNPibmFjuwNDd2BvXcGgtZAMDeQLHQjbrhkjl/6gSWuuzhkYWWShZUGy+2QlU7AcsdjpSNY6Rja3ZSVTkKrq1nuGuY6gjMtzdRkj296ZYebdids36BoVn3anQqhLwFFlEi0FmgDvQEgNFONAQdOGbSJuOfxOsNelYu3BNx8VY9Yr/DAk5Ncc4nPgbNdWstNbryqx5eeCNkwbdhzzPB/vLPNnqMhG6Yl9z6puPkyxVKvzeET01yzK+KB5/okwxo3XR6wc9uAftLli08oSAWHTno0ax6egF5foo0g1YY4AaTGCzStrqHeiNm2acirL+vxTdclzNQrnFuaYHGlynLbHpvltqDVhVYnodVNaHVTWj3DUldypiNY6CTcuHuOn/+BeV5xUchSu0m7W7Pg7gd0eh6dvke7KxgkVX3BhVea7Tt2/ujOnRd/aGFhIbps966XG1LA3xOA6zSSSdx/+wtP3XnxwrJ5/yOPPeG3u4LuQNPtp/T6aQ7y7tCCfL4vOddOuGn3HL/4Awtce7HPSnuC+ZUGrU6FlU7AStej1VG0etDpGtq9hHY3pdvXtHqG+a5gvgtxOuTqS/psnE7p9gxvvXHIhRs1SSrxpCGK4f5nKhyfq7BpKuH5QxXQNXZvVVx7qSas9HjiQI/5hTpXXFinObnMw8/6XH9JhcXeCsvLTTZuNDy6R/Fdr+/y2B6Pret9FrotlpemufayHg8/nzJdneSKi7vMtVo8+uIkVa/OKy817LpgALLLM0cE66djzs3HPPCMzyBWSAmpNly4KeKbbozodBWbpzTXXgJRVGOpVWOpFbLS9Wn3FK2upN2Fdi+l3U3p9FLaPc1KD5b6glMtQWsw5OZd8/xfP7DMK3cFzC1O0OpW6fYrdHo+3b4Fd6cv6PQlrXbKcjviFddcHw9j9R/e9953HGzUq58LQ1+/3Nh62YPMaNgjigbfPX/q0V9dmt83fepUm2ZNAhIhJAKQAqTUKKlRyqAkeFLjSY/HDmzgJ37f552vXuK9r19ix+aIs4tNwqBKNQyohT71qkenKmn0fSbqHr1BSrefsmGo6Q8NnUHI0nyFkycMUaI5dTYhDA0gCJTBk4JeXyHwSXoer7hQsHOz4YItPYZph7sfU+w9OMWbrgu59rJl/uhuQyBqXLilx7MPK7ZMKtY1e1RUlSj2metAveKxdYPg6b0R1+6qcus1C3z4zj6B3+CNNxj8sMeXH434/CN1XjxS5aLNNS7clDI7FbFjXcyVF6YopfGUDalrYcjsZEgU+3R6Ac8f8OkOPHp9RXcg6faxBNGz373TT+n2De2+YaUP8z3F2WVNvdniX751nm+7ecjVO2qcmW9acPcCOgOfbs+jO1B0+5JuX9DpG3pDSwJffuBRP6zN/Or6jY8uve2NN/zbTqf34Uaj9r8vwJO4C/D98ye/+gsnDtwzPex1qYYVktRHa2PtNjyEEAiRIgUW5MKgpMGXhlBJnj24jqcO1Dhweo53vrrLqy8fMNlostSqUW9XaPYDuj2PjjvZ/YFHb+gxGBoGkSaKDXFsSFJ7j5IAo0Eqge8JKoFgsiGYasDGdZqtG3qsm2rxhSfgwad8pJ7gTdf5vGJ3h4dejIkGTW5+haDV7zO3WOemXZp1kz2qXsggUcy3Y5QWvGKXR60x5Ml9FW65doIbr+7w5D4FZoLrLg/459+yxJeejrj3sTp7jle4YFaxcbrKVKPGRAOqIfieveC1gT1HBGkqiBNBlMAwxn7HYUp/qBkMNb2BpjfUdPvQHsJ8VzLXgaHu84Zrlnj7q1v8kzdqkqTJ2YU67V6Fbj+g0/fo9j26A0lvYMHd6xu6g5T+IKEfGfoDw6m5M3z4Y3dPD2P939/1rbd47Xbv95vNlw/kLxvAjTkHRP+8O3fvL3TO3bNemiGVsEKqNUmakmowSEAghHLgBqVEzly+MvhKU/UEC70qH7tvK19+qs1rr1zhfW9Y4codXWYmayyu1Oj0Q3p93wFb2XskGMaSOBEkiV3qbe2WDSo9DyoB1Kqa6UbMlvU9ErocOBXz5w9UOHyizmRY5frLPW66qs2j+1vc8/UmN1xS4YJNPT5yn0CJkGYjZqU7RBtQAmabPdqdAJ1Ueftr5/jY52vsPFfhbTf0iOJFHnhuhjit8KrL1/O269tcsq3Fl5/s8eyJGs8cCdg6LZluCmqhIPDtRSgFCGHQBrQ2xIm7WGPDMLYX8iCCfgSdgWB5KFjqgPAGXHPpCu/7phVee3nKTLPCSrvOSqdKtx/Q7WcrQQZuQW8o6A0M/X5Kb5DSG9iVcBCDET4nz3X4zT/+0vqzXX7hn7z9ZrP/2NIf7No+/b8HwH/1tz7M42dn+ZH//PXvuWbnsfd/y9VfWVcPBsS1SQwJWlsW0lqAAYFECIGUCqkESqZ4UuBJje9pAs8Q+IaqL1geKBZXpviLr9R55PkuN1+9wvveuMI1O1vMpFWSJKQ3qNDt+/SHHlGsiBNJkkpSLdBGIDBIYQgDTa2SEAYRgT/k1OKQOx+XHDwZcOTkFEqH7NwUcNkOxXW726hwnucONdgyWeOKi2Dj7DJL7SZXbpEk2vCFx0KGPclkPeHNrxrwuQdijp9tcOnFPmdWBrxw2Gfbhimu3jHPQ892ePgFwTAK2L1jmt3bQnZv7XDozBIHT8Fje2scOFyn5glCT1IPDRUfpLRBlTH2Yk1SiBKIUkF3KGgPBO0YIp2gzYBXXtLmfd/U5rVXpmyaDhgMmyy2rEvS6wcW2ANFb6DoDwS9gaQ/tH2j/WFKf5DaR7cSDmLoR4J+4nHgWIs//+Rn17/6kufef+t1k4kxv/1Hjz7Y5MZb3/ePF+B33/UJ3vEvvsJv/vSr/sm9j538jZ/9zL5J/c+Wee8bFbVKRJoqC3AtMIAQHkKAkBIlBUoqPCXwvBTPE/i+IPA0gW+o+IZakDJZEXSGPsvtKT7xYJP7nhmwYarHu29rsXvbgEG/yxU7DNs2KoaxT5oqUi0xGbilxvdSjp0zHDkrWOlrPvNQjVMLU5jIZ6qi2DzjsX2jx0Vb4IqdbbRc4Pc+V2dpaYIbdntcsbPFl58RiMRn/ZSkXkvoxQHSSDAS5QW0BoJzS4LLTY3bruvwtSerbF4XcMMV03zftyzwoc93eGxfne7AZ3GlwY7NVS7d1ONVuzp8+y0dTi8t8ZmHQhZ7IcfO+Jw6FeArgZQSgUAbQ6oh1oY00UzNxFx1eY/hMGb3tiF33DZk/YRiuhESxxXOzFfo9QN6Q7vK9QfK3iPL2v2hYDDEAnlogT1wMUxvqOkNLbi7sWAlEmipeeWug1wyuW/dM0/f/Bsr0e741jfu/+jHPvZx3vOe/3VJof9lAH/xiY9y2XWT4r4P3fyuF/ae/OCZs0dr84s20+d5EZVgSJyonElxUkEIDylBSYmnBL6XPVogBp4g8DUV31CNDbXIMFFJmaoKepGkE9U5crLOL310GnSCSBKuu6rHjo0RSQLaaIyxSRwpBFIJPD9g3/GAPQcr1CsejUCyriaYnZGsn/bYPKvYvinl0u0rpGKR3/xkk2PHJ7lhl8/uC1P6SYevPxcyWfWZmTBMNiJqVSuFtJa0BoqlrmGxldLqVnnNFSs8vqfH3uOKyWaFV10+yQ+8fZH/8Sl48mCdbt+w0vE4t9Rk47oa66cGbJ8Z8O/e1aNZa/HsEdh3QuL7BqUMQmjA2P83kCRw4caUm69MSGOfOAkxpsYg8jm7ENAf2hVtEKlcvvUjwWAoGESWtYeR1fLDSDu5oxkMDf1IW1aPBL1I0I3sKiHSiJnJiJnphCf2HJ48cKbxwaf37UyOJhd9/Fc+8DHzf/7oe/7xAPwv/uo3+eiDK+pbe3O3T1eW/uiGS/ZVJt69jBcKLto+pBIakjQiDJQFNwIBCAlSGpTy8KTBd7XRnhIEviLwJcNIE0Ypw9hQjTXDWBNFhmYCw1gzTCBKBINYMkxD4rTC3oN1ntkLqTFYaFtt7EsIlK35aIRwxSZoVmGiLplqKGYmPdZPwwUbh2yaXSE2S/zmJyc4dHiCay9SXLRVsnPrMl95IeHc4gTX7ZBMNTWVoE8oQ4wSJKlEGPt9l7sVzi36XLu7yit2dXjoyQobpgS1SoNrd2n+5e2L/ManNC+carDS1ax0FPPLHusm60w1q0w1J2jWYmbrMduvjQj9BN9LUCpFCssQBntRxbFibt4jThRxoohixTB2j5FkGEuGkWQQSYaRsAFqJBhGhmFkj+twaI+zBblNMA1i6DlwdyLBSiIZpgkyjjl8XPGVJ/v87l09nj9woHb9lfqPbrquo/9/P5B88srdH0jf9k0/+g8f4D/4c3/MXc82lYpO33H3gwc//J7bXqhcuFXQmOjz/W8XXHZxjFBQCYak2gaVGBswCWndEk8ZPKnwPIXvSQJf2JPgC4aBIoot0OPYECWpdUWS0j2FJDWkqSbV2FVCk4NbuADWk+D7EHqCSiiohZJ6TTFRk0xNCNZPJ2zf2KNRX+GTX4t44LlpVhaaXHWBYvsmn0u2DUjFCl94rEbd95idUjRqA547BC8e9rhym6E3VFx9ScxVOw1nz6TMLwf0BzXecn2Hrz7b58ApRb0qCYMmV16k+S/fs8j9L/T53P3rWGwbtq9PWW55TDYVE3WfRs2nXjVUQk0YaEIvxVNWaklpz4Ex2ISVFiRakqSCJBHEia3hiWPJMLbOSxQLotgQRTCMU6KcNLQFd2ws6GMsyGNBL7bgXool7TjFxAPQEXsPKv7gzgpPH9CcXk7oP/1c5b1vm/iT1tnN/+ytN6/7y2ju19Jg/b/5hw3widCX/WH7PV9/cfG3/2Lv2cq+YyGXXTDkyQNNvvxkyI27h9x+W4/vfMOAZt0GeEIYlLK+tydTfM+3AaWvGfiKIJZEvmQYCKJY2JMTK+IEolhaByEpbL8k1aSpdRdS45ySXAIJJ4EEnicIPEEYSCqhpF4VNGuGyYZmw/SQ2akOiVnh41+VfOjzM6yvVLjqAsEFm3wu3KzZvmmZT37dsLRUYfdGxVQTGrWYc0clc8shwQ4YxoLZCcnkJBw4Ylhua84uVLjkwgqvv67DnQ9WmGlAGAQoOcmVOwU/+LY5fDnHZx+a4sVTFTa0Y9ZPJkzUFY2qolaVVEOPMIDQB8+zpCCFzSHkIMde2KmGNBUkKQ7oEKeGKIE4Ti0pxJrIPQ5jTRxjwZ04cMeCQSzox4J2LGjFgm6coAcDJsI23/m2Zb79dV1uvDThS09EPHmgze4LUm659EBFxtd8cOHshKep/xmWZ/5hAvz3PvwpklR/z50PHP6VQ4dPN3tqPX987xQkMQgNUnPXwwkPPVvlzNIy/8d39JhsJFT8lFYvtQBXPn6s8T2PwFMEvscwlkSOuS3jCMtEjpWSBOIU0tQ6CVrbgMt66yb/fEJYgCslnK63AKmEUKtoGtWEyUbC7GSfdVMrfG1vxJ/cU2XfkUkunPDZuRG2bgzYugEuvaBNL2nz6J4mVeUzO6WYbMBkY8jUREIQeAhhL67+MGCpHbPSM7S6CXPLARdsbHDj7jnueazHvlNNamGMrwKEmGDnFsU/feMCr7x0jj+5p8Gjz0+y2PVY30yYrCXUKpJqRRH6gtCX+L7AUxKlcPahRbnB9rBqTQ70JNVudbOkECeaJLXgTmKIElPcY1vqO0wssHuxoJNI2olh2I8xcY+ZWocfvWOJf/ddXZo1STIM+I5b4V23DYlin3Z3hvlzZ5qxnP5NUb0+2P/cpz6066q/uyKtvzOALy61UEp9/wd+/xO/cOr4yZn1dUE1kfSCCgMdEqfGBnhhwkoU8isf89lzqMW33tLltmu6bJiJaHeqDIYhQeQT+AGh77llUxHHimEiiWNJlNhlN06cp53irD8cc0u0oQC3TVI65gZP2YRJ4BsqgaZaSWhUEqaaQzata3Ou1eMDn/H5wuPTLC3XuXhWcMF6wZb1AVvXC3ZsHuAFK3zsAY/DJ+rs2iCZakgm6ilSDjk1bwg9iRRgjCCKPbavb/MYKe2eYrltOLdUZdfWCt9+W4u//HLA0XMhvhcjhI82deJEct2OZba/t80XnuzxkS9M88TROlumBOvqKfVKSiUQhL4g8CW+J/AUNnCWIq/JMNiLTBus05JawOcgT62ks6sgRBmzJ6IAdwKdRNKJYRClpL0hW2db3HrdCu+4pcfbrk8IZIXWSkCSeqRakaaKOPGIE5/B0Kc3ODszsaHz/kuuvENFg9bvB5W/m4lbfycAn1to4Xn+9/3lZx/4ha8+8sJ6T2oagcSXmpoSDFLBMBUMtWKoFbH0acUBH/tKlfuf7XDt7i7vfWOPb76hzczEkN6gQj+KiX2fKPEYxp49WLENmOJUkiSSOBUkiSRNrdWYa21nOxoHbuGWbqWs6+ArK3/CIKUaJjSqQ9ZNdunHfb78nOHPvzLBo89PMhX4XLnFsGlasmEmYPOsZOuGiIu2LPPs0T6f+eosE8pjdkLQrAuatZhWL+XzX6/QCAxCWGD1hx5vv3nIXY/YmphWVzO37LF1fYN3vrrLo3s77DkQUA8TlBQW5LrGILJa/5++vsWuTXN87P42D784yfHlKhubgomKoRZoKp4m8MFTAiXthWyZHLLyI+2kmtbFCpc4oFuCgDgVxKnLiqaCfiLoJYJuCsNIk0QR9UqXd755mfe+sc21l6ZsnFYMBnU6XZ848XOAJ4kkSTyiRBHFHnEiaS08t37u5OwvbNj+eh0NV/4wCCf/fgN8eXmFpZUuvuK7P3f3A7/8l5++d2ZpqUXoSxsoKghSQyUVRClE2j4OUknfCxkGASfbIacfqfPIcz3+8soOd7yhx5tvXmF6IiCKAoaxTxQHjg2sK5AkiiR1CZu0ALg2jrl1UVMmhHFBpc2Gep4m8FPCIKYaRjSqfVL6fOlJyUfvm+T5IxOIOOTCKcOmScO6ScXsdMDGdZLNszEXbGxzYr7D73yuTjKssnWrYLLh0axDsxYj/Ih2v85kwyCEwBiIE8l0qEh0QicO6PRSltuKU/NVLr+owQ996wrv/7OQY/N1PBW7C8MjSSoMIsnGmZDrLm5z1UVdXjh2ij//SpV7npjkdKtKPVQ0Aqj7hsAz+Ao8adP5QoxW12nAaHvRpVqQGkhSYf1zd46GqaCfCgYp9BNDksToOGKm0uctb1jh3W9o89orEyarHnFSY6UVECU+SeK58+Lu7hzFqU2upalkGK1weO+X1w9j/5c3bbspaS+d/GMZNKnX//bY/G8V4L1en5mp+jseevjx/3H3F+5tJoMWzZp0BxC81OA7dgi01clxCtUUahp6qWCgQoaJz9ygwmcfrfPACz1edW+HH/uOLpdd0GH9pKJZ94ii4kDG7kCmGcC1RBuJMVYSmDygBClswZanNJ6XEAYJvopo92Pm2zG//skKR+ameHLPJEYHzFQF69cZ1k0IZpqKmUmfDTOSjTMJW2Z7zEwu84WnNE+8OMlVWwVTDUmjJmnWNPVqhPCHhKGHp+zfNwbSVNIfevQHMYkWdPqaTtew1PY5u9jkpku73Hj5Ch+7t0J1SeHJ2ALSeCRpQBRL+kOfdZMVXrmzyysv7vLYrac5Ni/5k3smmVupcXIxJFCSui8IMhkmbeCZE3kmVbBMnhhBrCHRgmEKgwQibSBNIImRasjmqT5XXdjlx769w/WXpTSrHklSp9UNiOKAJLFSJEkVceqYO38cvWvt0+4NmFu6f6Y7CP/HjouvXR4O+5/528Tk3xrAX9yzn82bN6oP//GfXfzCi/ubg36bybpH4lLGaQqJcs91Zt3ZZTF2rF5NDUMt6HuSvl9hmAYsRlXueaLJ114cUA+H/LO3ttg2k7B9c5+brujgCUWj5oFwANcKo22ttC3WcuDG2Y7CermGBGTCC0ckj+/1uPPRBi8cbxAlNRqeYrZqmK4bpmrG+uBNj+kJj5lJwcbphM2zfTbNLvPA80N+7871bJr0mG1Cs65o1gWNWkI1HPK1/YpB5OHXLaiMEUSJpOIprtnV55HnJm3hUz9lpe2zsBJybmGKH3rbOU4uLPLI07P4EhAxGuwyH/sMI0m37zHVqDDZrHPjrh63XtXjva+bZ+8JzV2PVnh0b5X9h+skwmM4VPRihRLSFa+VA0+XEzCaRBuM1vgiZSKIqBBz47VddmwasHVdzPvePKQaSBpVjyiq0u4GxLHv/HWvxNaOsR1bZ6COU+FeC3f36fc79J58qDl37tzFr3/THerUiYPplm0X//0B+J4XX2TLxpng0Ucf+940TX5leXmRetV3Ws4FL9oU1pQ2eGlRL5GkgkQbghTCFKraEKVWqw88n0Hq09NVOp2UX/7YFCaJ2TA74PILBsxMJNzx+j4XrI+IY+H0toQSc+P0p5QaIQWfuL/Ks4fqCM/j2Okap87VqFQVE6Fgsm5oVjTNCjSqgomaotlQTDU8ZiZh3WTChpkBW9a3Sc0Kn/hqk363ziVbDc2aolGTNKqaRiXB9yO+8EiFYU/irwfpwBQnknpV8ZZX9XnwKU13KOn2U9o9j5WOx9nFGpftaHDHa9s8+UKNY0sNlNRA7PSyT5wqhrFNzHQHHq1uQKNao14dctnWATdcOuDEXIujZ1bw/JRnDnv85VdqCKUsuIUcPYlGAxpjDEmUsn1Dwrtf32ddM+XS7YYNM5AmPsOoQZL6LLe9EUDHJTkyCmoL6Dh7nggS7cDt4qY4kQwWl5hZH//K88890ZvduOND+/fvjXbt+p8fT/G3AvAzZ06ysryw6/iJkx945qnHZSWQJQvKsXcqVgE9zaL3DOia0qOhpgVxrtUlQy2JtE+sYb7b5CvPagwpn340RojUniSjyZBt61ksuoVQCCGRSpHEHlJ7+J6kEcKOWUPd19RCTS2EWiioVyWNqqJZ85hoSKaaMDORMDs1ZPNsh5Rlfv2vKjz03Hp2zsBUzbF3TdKoJtSqEfVan2q1RqgkSjoNjpUDcewz6Av6w5TOUNEdaDp9bVvm6gEnz03wmsuH/Mt3neNX/9Lj+EqIEBpjYnRqiBPbbD0Y+nT7ikbfo14JqFUr1MIalTCmUY247pKIwI+5/pKE972hh6cSlwTSCGFGRbmTdFrbWvzQV0DAYOixuOzZuh0nBXNtnY7GP7kU0UXAn2hJkgj33CaZEhfAJokjuNTw6KNPyN5AfWB5pf/V4XDw/N8GNv+nAf7V+z7NxIRXPXL04O1HDh0UzXrgInDjvojO/egkNXjaMnrqmDzVovTasXqWiHDP84tCQ2Ig1oJYSxIjSbVHrENSZ3uVb3mWUoAnhM1UKqhUDRXPUFEpoQ+hB5XAUA0F1UBSq0pqFc8CvC6YbGimmwkzk0PWT3fZvH6R37tT85F7NrBtUrGuoWnWFY2aol6DWjWlUY05s6g5dCakEtjyW8gq/QSDyGPHRs3GdQPag4D+wDgWl6x0PBrVCo3aJO97wxyHz5zlg5/Zgic9DJpUpyTaECcew0jRjxT9oaRXkdQGHtXQpxqmtDo2xgj8FN9L8f0UT9pGCSnTPKkmhKtbsUfMgVzQ0q7KUru4xsU3qS4YOtUlcJfkR6qFez9bocvsTQ7yJMUmmhJbzPXIY0+LC3e0b9+27cJDH/3YJ/r/5D3f8fICXEgvmJuf+4n2yrmfkAxkvSoZxqASQ6Kyq9XgOY81zQCeg9a48ljj0uhl8EPqAtTi57YPUedersgDpbLmBtcJJGxgZTuAcHXk4CuB7xnrG3uCSiipBJJqqKhWFI2qpFEzTNRTJhsJ080h66Z6XLBhkUf3D/nY/ZuZqoRsaGiaNWHBXZXUK5p6JaFRG/LoPnhmb42LZ43TvUXavD9UXH+p4ZIL+jz2/CS9oaE/SOn2PQdyn1qlSrUyyXfessQz++d4ZM9GMAqtU0sEiSGJTV5P0h961AaGakVRCTRh4BMGKaGn8bwU39N4SrsssUFKmzlGGASFniuCc+GOr3CpflnYr2n23LG0A7HOwO3KnovVugB09pg6cCeupCJKDP1BV544eeY/1Wr1YKLR+HkgetkAPhj05HA4+Ln7vvBn/3Z56UwQ+J7Vu64xIU6ELXNNDanWeKVkQqqNBW1qAZsDV2evi2xbnnkzBu0ycVmywriCqfyCWwXwIqGjpMtYKvA92ygQuOxfGCgqoaIaCmpVQaNqaNZSJuoJk40hMxN9Ns8u88i+Pj/34Q0cPznJRes0kzVoVhX1qqJegXolpVqJCfwBrYFBSYWvDFIWnyxjtzgJaFZjeokrNx0aeoOUTk/SqipqnZBK2ODCjTH/5Xtb/OwfSb6+ZwMGhTaaNNUkaUKUaKJYMYgU/VBSHSoqgSQMDGGgCD2N71u/31OuDEJZgCsnU4Qwqxp0tYtjtBEYV8tiG51FXttiSccydZrXu5CDPisLsHJUOEYvee6JHaYUu3uq4djxU0Gj3vgPb//+N/u9Xu8/1mq1bzid/w0DPBq0MCb6+WMH7v/X3dbRSrUiiBNtda4QDlBYFs++rAO4p3XO4lpTep6xs8h/pkvJiOKA41gml9sl/slS8IU8yWpNlLJ2meda0XxPEgaSwFdUQjuSoRoa6hVNo5bSrMVMNCKmm302z67wyN4eP/uhdew7Ps32aeuwNKqSek1a9q4aapWUWiUmTiP+9N4GUil8aVCisAm1EU63+vzTNy3zxSciOlFIzwG821d0uopW6FEJQkK/yaXbEv7rP1/kZz4kePj5DWgjXfeTA4er8htWbLlrGAoqviAMbGYz8EyesfWURrreVimMbZTIAF6kPB3IndOiC7Db81IAPG9Syfz0NFtpC3CnecxVJJNSVyaQJNqyeGpLBbSRPL/3SOXTd93/b9759jeKpeX2T05PfWPTs75hgLeX94MxNy6fe7RaDfpI4aGERAqNFNJmz6RApdh7ItDKyhW7lDkG1wXQdcbqJnteqp0wwj4vg3uNz5UBPKvByDJ5SgnbCeSJvK7c96Wt3wgEldDOPKmFKfWqBXezHjHZ7DM72eLRvT1+7g+neeHYOrZOCWbqJWlS8ahXbP1KtZJQDSN8f8ipxSl8JVBSO1uuCDJtQKbYNGWTJ+24Yjtjhpr+IKUzkFR7ikrgE/gVfG+C3VsT/uv3zfNTfwCPvLje6V/tgJE6JtcMQ00lkgwClUsw3wffwyXcpM0FuHJkKUC4xzLGM5ybXLaUKhNHHosKzRzwWVFXtvpmsjOTp64YLi8PSAxxaoEexYbecMhd9z5W3X7hjhvl/8SM8m8I4GcOfxLJoHbmyGcCqVeohh62Vs1230ipkYkFV5xk0sB+SS9PoztN7YCuddFPmMuQ7Hl+cM1LghuKlHRWJSilyKWJkraevJAnUPEhDDTViqEaWv1cq8Y0axGT9T7rplo8cWDAz/z+FM8dm2XzpGK2rpmoChoVSa2iqFUF1Yq9OGyqP+KRPYLuIKCicBeZ1eBZE0KqBXHiUa8obrqiw6MvNOnFRTtYr6/ohIowUAR+4PTzJJdt0/ziD8zx478LD+9ZT6wlsdauWbrowRwGkjDQlr1dbYrvLm57x8mUQsZJl+VdC+Suf8LJlew5eSlEAXTylTfVoJ0dPBp72fNdVHu6e17YZWv4l8+2+LXf+2zwQ9/91tr/86G7ev/ie7/57x7gc2ePE9a3Tc4f+ejvDIbRLUanKKUIshEYIivwkajEHjjP6a5UClJFESymoD2Rs3WqjUsdm1xfG1MweZaUyLtVKJ0MUTRJCCHyIiOVA9yyuO9ZJgt8bCdQ4AqswpSqkxeN6pCJRp+pRpunDw75md+f4pmj69k46TFb00xUoV4R1KuKWlVRy9k7pRImNGoDHngmYKVVYWqqSJNnYMmW9DhVrJ9RvOEVXR54XNsumkiXQC6p+JKK7+F7AZ5XRUrNZdsMv/ADc/z47xoe3reeWHvErgLQlr1aJg9jmVcXBp7E81wRlhQoLzs25J8vuwgzqSKyqjSKhFAB9CLNXxRvFfFSQVoZsClW7LQAu5UsOpcu1lHJpGvKcNC/Ze/+I3/w7370jh9+6+uOruy86MK/W4D32qcZ9OZ//PSpU+8Zdlp4vm+73HXmO+MkinYBpo2YvZSSFhMjy5fWJV3nDlLG1not5i7+J8/I5dpbZhdYobuzikFPYeszPIPv28biSqCpBCnVSkKtElOvDGnUBkxPtHhy/5Cf+N11PH14A+snfdbXUiZqxoHbsXdFUg0t+1fChFoYkeghnShEKImfMXiuwTOt6grEYp96MLDlAlGFqQzkg5ReYBk8DCS+5+F72Qa0hisvNLz/h8/x739b8/DeDcTaY5gKolQ7FhdUYk3oGwLXu+p5RcufciuaPT6uKz97LBVmldVB+fiPxkIlOZm/LkBdlp55vJWWcyDWDo6Tkj7X4ClJa2mBY0eOvOehh586NBzGP/V3yuCd5RPUJ7duf+bh370qGZ7A9yVCaDzlQCYK50KV2VMKEulkiRJjDokogskc3EUEP15PUljdpmDt0knJl1vXoZMPCvLcmAlXhJRVD1b81OnmmGplyFSzx0S9wyN7En7y99bx1OENzE54zFZTJiqGhgN3tWLtxAzc1TClEiQ06xF7jhruf7JOICW+0i6IK5CSLd9xqki0x23XxVx8UZdDx6vM1lynjOuB7A0cC3sKz/NRrstJCMMV2+EXf3CBn/pdzVdfmGUQVxmmkigx1NxyH/pYkHvZ6qWdRJFIlY6cpwLgogTy0jJZDuhHiKckIx1rZ539hUFQZnFHdFnirxR8xnli0B4noRR7D57hrnsfu+r/+ukf2n7w8MljF1+09W8f4OnwCDKoX9iZ//KvVb3T7xj6ywihMFg/NPObZeavJjKXCImyTF62AosI3IxE5maMHbIlcSyHQ7Z0rgK3MEiV2YJFy5vvmDvwNL6vCX1NGCRUgoRKGFGrDJme6LHc6fHg8/CLH93IswfXsc6Be7JqaFQF9YrIvXLrvGjL3oEFeDUcEqUpg36FirIXmRRipJIvS6TYQNOzWt4bMowM/ViUAK4JgpTA9/B9iacUSvo5wBFw9Q7BL/7wMr/8ZwkP753hdKvJoC6ZTA2NxE4bCN3dzyWacXZhmYgKBs8/r/vQa4V4xrFNfq5cnbnRZRaniKtKVm/WXZXoUjZ7VSZbuH9Hcmq+z97jrXd89LMPp298zVX/5rkDp45edcnfbE/PvzHA4/5+ZFS/Ie0/fruXPkGz3iTV2p4kLUmlKgV1xk2fEqRKolLroKRlW6lcq23s8mXGAH5+cFMCdzbugdIF5sCtTD4gyPOyOSpZeawFdxg4cE93mV/u8wt/WuMzX59loTvF7IRktuLAXbG6u+YCy2ooqYXGMbjV3pUwAiLuezpgOQ6YCRmpx0aUnAhjdXgUezRDj9df2+ORfRGdOGQi1raLPdIEQ1urHngW4J4yKOkjpE3QYGD3Nsmv/libux7p8/N/uIGTC1P0Jz0mA0Ej0dQSCGM7ejlQdqCRnwWaUuRBcPZYDtTLF+aIXMlZfLSJYpW0dMm6XLIYG3hqU0iRDNgW5K6i0T1PtSDSkru+doj6zPrbq/Xan7Y6g6N/qwyukw5C1S+JVu78V6b/MNVKilLDvNhGpYpEGqSUSClJHYurVJKmBqWyLJizk1KxirVtJJ4FkkWkzjjAR4IgW/4qSi6AdLXP1gazwPaULsZM+CmBn1AJYsIgplHt43k9Hngm5Q8+3+TOh9YT6Sbrm4J1FStLrAWY+eTK3YVj7jJ7x3jekK+9OEkv8thUMy5jOM7g2UUuiRNFxVfceFmfRFuA92PBIG/wtSPXfC+zOJUDos0+WuUgWDcpeM/rujTC0/zh5/s8+OIMZ+MqvYqkmRjqnrEg91wc4urz7QUj3OcEJYSLY7JBQgWLrwVw+2BGbcQy0MfkZ2qs/s4y1GnO4qLE4LYWPU4FQy3opoK+UXz6/md5zfU7/9UP3nHrU9/W6h6Ynqj/zwPcpC8QL30U4c1sZvD0rb44jQgbNkiJbdeGSrQr4FEoacGupCaVkkRKPOOSPKZg7VRnNQ9F4GXGWByy+ogRfNvUci5LjAO4cdrfOPbWrubbgVvZWozQjwmCmIofUasNCIIeH73H45f+eD2H5qfxwwobG4LpMKUZGuoh1F2HfTW02c6KSwjZ+pXUrQRWniy0U7pRQKAUgTR5gJl9jcxq0ybL9kmixKfqD9g42Wel16AfCzduzcYKvp86m085u1NZgI8Errby8R2v7XL95fP84p8M+MgXZllK6vRCn7ovaXq2Bif0IFDkzRBelvRxK5/MpUqRAHI2/iq5Uk60ZZIySw4VTospHJYSsHWpwSLRWem0IHYA76cW3MNUo0lYPL3Elx585tbBcLj57HzrwCPPHOTGV7x0We1fC/Ao1ojJb7kw6T36e1H3YSDB93oolSKEdpLAQySWPTMmt+C2MiHVglRp2xuZp3yLE22ylrLs0WDLXcc+iyBLKzv2liVwO1kk3cVVMHfqQJ4QeFaShMGQ0O9z9FzCB++q86mvznD43BTNms90BabClEZoXOo9A7d04JZ5UqjitHcY2AunWR/yya95HDhWpaKEzRhmDgoFyosVy5WSJh67t8O3XN/hD+6eoVvzaMaGQWwIIxc3KI3nSTebkRLI/RLa7KpwwTrJT35Xj6t2nOR375zm8NkJlpIqPd+jrgQ1B/RAGnvhOJdJlUhCilHToKzJ1yTC3AQwq+IoPXYvJ4VsF1EmTWz16FALB25IUjuGIqCPqvR48JFHeOstu3/vne+65a1ziyt/rVR5SYB3+xFB6HPnfY9u/dLDJ3fe+ZUJhG7wHa9d4cfuGNCoGPrDoiJNCo0SmkQqUilRMqs+E67xV+cAzwt5tIVuobnFeTU3ZAfa5OySyZIM2NY1ydg7xfcS27njJYThkMAb0kkjPvDxgD+8ayOnFifRqsr0hGI6MEwEmppj7lqevpeuTsVJE+ed5+AObPZyGEccOBnSjUKmQufiZEmnzJXIvqcp1aTEHs26x46tESoc0Ika9ANB1c0gCZy88p1E8TLXQ6jzBK+K2YkeP/SOHrffdpY/vKvNBz8xw0K/Tt+rUPEUNU9QVYYwMZbNpXGOl2NyUaTxc4BjeKmkYjleykEOY1LUaXKTVY+6FjkH8GEKPS3op5DqBIZ91tU6/Kt3L3L7awd0Ogus3/r4zqZX3br9qtceNWaIEOE3BvCzZ+eYmarP1sPw45+5e79/srWZXn/IL/+ZT70yx7/8jiGVIPOhLdgSaRCpQYoC4DrrjywV7GQAz2RJGdyrZUnmeZsSwE0uUQpwa5Ry4ya8FE+lBH5MJYgI/IjWIOJrz0o+ek+TT3x1hkHaIAgCZgLBZKCpB4ZaaKgFBbgroSQMJaGTJjYx5JwJB/DAt5nPI2cMDz5RI4p9wrpZFWBmN23KgbYkihW+7/GG6zt87Etd9p2s06/YeS9D3xAk2NEZkUYpO6fRyghZDPehkHqptoF/LfTYMNnn339nj8suGPKRexo8vmeC+X6dgQrwfY+KJ6hKCKWzUTN7VRqbTxhncXcecrlSIiNT+hwjIF91FwV7561yFtx9LRhq0DqBaEBN9fj+dyzyf35nF6HrLHcarLT2+HrjWz/e67Vfkcbt+W+YwWfXTco9ew/c8JUv3z+xsRqhU49TokJvRfOpBwd8260DLt06INVihMWl1Ggl88GWq0Cdt5SVNXeWMVtNERlz2LazDOg6L/e0SSWDp1ILcJXmcsTzYlrdmIeeF3z47ib3PDnBUquBrFZoVBWTvqEZaGq+oRYYqgGOtS1zV0NJJVBUAkElwFXoaQduTehb/a28IftPwqlWxSZWnL4dTZwUILDMlpWWSqLIY0NTcMm2Ps8dT+jFvh3TEEMQ4UZFp06iZIkam1Qr3/IaEZ110tj68He/oc+bX7XMl5/q8EdfaPL4niaLnRotGdANPAIlCKQglNgeTmnwhMmL1TIL1gb2f519WLB5+cLLNbiB1LgmZ+Oam40Ftm2ZSyEdQDzgwu1dbr+lj1IVFlcaLLWbnF2ocKr18MQll3s3bNmy825eYnjQSwL85Mkzodb6t0+dOllvVAWTsWYlUgxqPg8/X+czX23zY3d0Cfwoj+iF1MhUk2plA80SoLWb4poBPesgGbnqc1CXAJ4HOiU5JDNga/eYomRKkLkZMma+k/DAEx6ff6jBZx6cYK5dR1Qq+A2fpgcTvu3kqfo42QHVQLi7dCWnTncHgjBj7wzgXkIQJFSCCGNi7nsy5NiZKuumBb7UzokQRaNvCQUmzwVYSdEf+mzfIHjDtT0+9fWIbuzTjwUV3xAklsWHsSmtUir3q3E7YUBRx22MzBsVbNbUoxoOeffr+nzT9Yt8+qsd7nqoxgPPNphr1eiLgH7g4fkKTwh8KfClxBfGSS2DRDjJVQSe5wU5hUTJqxDd69Q1rSQG4qzR2YDWGnQCOoJ0SNUf8o5butx8RcrSSsAwDtzM8oD20un6xbv1by8tnb0M6H9DAD+wfx/dbo8kHlCvSPxuaT0Sgk/cV+W9b+2ydTK287yFQWqPVGqUTp3uljmwcyZHuJ5JkQN81dERJcekBG4ptGse1ggHcM9LCbyYSiWmP0zZdwqOnlb8+b0T3P14k7nlOvgVvKZPTUkavqHhaaq+oepDxbfgrvh2JqEtM5Wlu3A/Nw7kOgd54Nv2tEOnNc8dCcH33TJfOChiLC2YsVvmpFg3xY5zvnLHkMu3dtl7qka/IqglgjA2DBXO2tOOvTM3JbMgC62S++zOitRauekDPoPIp1od8j1vGfL2m1b44hNd/uJLNY6errD3VI1oJSQJPQaeh1RWZirc38Nqc5XJQ7IAenXQlNu92aqCcMztpAmZk+KmjRkNOgaT2Mc0ZsN0xB2v61tskfWzKnoDn8XlPgcPHiKsVF8KwucH+PzcaTEcDv7VJ//q4+s2rgsI/JTjyzHtfozuDCFK6A4EKaBUgqdBCg8tNVKrMXCPMrcxWWsUZC1S4zfrmJhCd7uueFuOaxk7DO0k1SRNObsI937F4+DJKg88WuXUcpVDp+sQhqiaR8VT1D1D3dPWRfANoWcHx4c+DsTZXbq7cgDHaW4Hbj8l9C172wsr4sg87Dlaw5ej9uCodh3zivMGgmy0gs/l2/tcsr7H84cTeolPIxYMPQjcTEBVAriUwlZvlpgcRn3nXAaV+ijj1GfoBzSrEf/0TUNee1WbU8tt7nss4PCJkC8+WeP0YoW076OlRxwokMoFy7YyS5Il2YrHNUFeupgt2LNCOVeTYbJe2tSBO7HPdYoUmlrVoMKUCfoY7XHiXJOzS5L5ZUH/6f3r7rjjXf/q5IlT79+6bcua1sR5Ab7n+a+htX6PMov1bRsEu7Ybbr5uiQefX2H/UTh6BkCDJxC+wTex6zJRSCnzJdLOJ5GlpbPo+zMZVY/pkmwOVcHa2bRUuzz7YUqcGg6fEDx3WHHvozWePxLw4pEq7WHIMArBD1BNn1AJagpqnqZa8oFDL6vTyMpmbV146GRJECiCQLoLwBTa209tZtG3Or8SxBgdcW5JMjQhnicJpMHLEiVjGjxjIuN0qC71OEaJj8BjdjpCqgHd2KfnCet0xEXBmKf0SAZSZiY1QDbsiEIapllZgOud9FOVj5/oDQM2TkVcsCHmuouG9KM+/+xIi+ePBtz7SIXnjlQ4fDwkTjxMqEilAmFt4OKLyfETmI/HKyyxUiYoAze6BG6dA9vNkkOk9h85eEJy/IzmucMpDzwh8E1MxQNv4Uz9/ge//h6l1Pv/XzH4/ue/SLfbVQcPHBQTtYhaJWVmcsD2TUO+6VUdhrLPsTOKLz8a8vgzAdPX2w8e+JpKLUVpK0HQkjS2IMdJk1XsXWohySAvXQYSV3MRR4bewDL50ZOSP7snpBcrnn6xwsETIQvdgGEagBeA8lFNRSAFVQU1Zago7Dgz5QqPlGXtwBc26VEGty8JnCwJAwgDnGtiU+Z2ym3iMqIx1UrE3HLKvQ83aHVCpibs9ipZyYCUrGmt5atyrsUlw6Fi3YzizTcN+OLjfY636vR9aWWKB35i8OPMs3Yeu0ytXUh51onM/4Y2XulvWKAHqSL1FImviFOPOPatlerH1IOY116ZcONlQ95564D9JyTP7PHpR4qP3FvjyFkfhKTX90gjmQ1xx3ilq1iIMYCXK+VGQS4Sg9BuEwKjqdZt76jA8MqrI/7iyxW+8mjI8VMhLTOJFCGXzCTMNGyT+N59h8Tuyy5Xf/5XX0i+89vf8jcDuBDQqNc+MFFdupqgR62aMlEfIqVmsq6o1Qw7Nkd85O4qH/zEBJOT1ja6dlfMu984yCvFZic111wRU6/YmoSCrdde0jKXpNUTPPOsx2JbUq1IHt3j87mvVhjEikGsOHM2QAuP2Pho4YPnIUIPT0oCJahIQ8UBO1SGUBlbA+45z9crmDvI+jJzcCvXoyly9g58TRBkBVppzt5BEKNUxFeeUnzq6w1U4Fm7bUR/n5/BMy88zWeHKAYDn7ff3OczX2vzkfsm6CYV6k6H+5kOj7OMo8m7hYTIrqTs2MqSPCgB3HXBJ55lct9TJJ6Hl6QW6CpFKTtIf7qacPOlCTddGmPEkDte12MQ2z1/PvvVkMf2BFRDwUJb8czzAe2edCppzBcd8RItyI2xrYHXXBOzbjK1TRCp4d1vHHLNrhgETE9qPnNfhQeeCNFeCGHIZF2y0LO1S5W+xjvVufra6xsfMIYf+hsxuDFzwGxz/uhHL92yblGladc1BgypBEOkSEiN4QsPhnz50QqnFnxOLdndj/YfrfC5+xr2C6QwMZVyw9Uxjar98Ofvw3EHxbkOK13F488FtFsS6dkBnUNjKxcRHnYusAfSyiFfSgtmaQilJpAWCIGCQBUz+izIizHJvmcbAbLG4zK4LcO7slo/Y/C0dE8IvRhjIk4tBETDCuGEJHBpb5U1fpSzmFlHD1DOA2TMmmpFFPtMNRTb1kUEYkA/Cekngqpnh2BmNSRZQkvJcnmrzP+W/RtZcK9LQ/C165MsjX9IUpc3UDZBphLbAhdby9WTKVIlbF2n3YqhueyCAZHpIz1NqyV4/DmPlZ5EyQzbo65YGewCW3xVr8CNr4iYmNSY1P5yzbM7bYABBW941ZC33TLk7q/7pMR0kpBzA8kwtZ5916Tq0Kn+pT/8fd/WfHp/p33NrsZLA/zUuXkQK+/340dft3HdEdI0REqNp2Iq4RDlD7jzawE/9VuTHDgeWtMUO3gvAVolPd1eNpz5SvlbrgHwXD+K/LkRAp1tuYC0gBbSBjrSDqXxhMAXjqGlSzs7YOePqvTouU56hdt6jxzctq3LbokSBoLAIy8xtQzuWNzTBC476vsxYRhzYkHzJ1+sgxfgS1EEmLk8WaO2uuQTZ0NCLdjsYJ0o9nnfm/t8+oE+L55r0E19aondlNZWAZqiE0dlOYFSsJcd07xGW5YKvLK7zmthPE/hpxbMvgO6kkXSTKkUKe3zLM8hZYonNMJoZmuab36NtsOXhCOyLAskzBqnvkgKCC3QqVdcE25eJRhEorl0W8z7//Uy6rfgzodsXmUpqdBREoXk0EKLTc+88Lp/snj1+ysq+Rd/LYP/+/9+DwYVbAzP8INvb7Ntto8xli3m2yn3PB7wax+d4IWjVTsxRzgdxtpiM30pxqak2bJ5E2OPwu0aljVR+AJ8YXIp4En72g6XzJpqS4VEHqU5KBlrF131BcBlLlvCwOQtbUGgS4NzEnzH3oEXI2XEsbOC+XYF4XmEkhF5IkXp+qWIvcrSYQR4zumIEp+Z5pDtG/vsPTukn3oMUghTgZ8a/MTp8CQrMtMl+atK50HkiRc7abdo4C6kkcZLNakSeJ79+57LClu5Us41uIFB+d/UxfNIj+Qp8r8+Mo7ipVbw7PNnWWvtNgxIuXJ7wn/+oRVmmpp7HotZ7oagPYwRXDLb4V2vmWeDSoJ0jXzPKoB/9anjCCk4d8LjyPEJLrsgwhiDkIK9JwI+93CNKHHdui6izgHO2BldC9Sl5asM8Lws0z3PAOIJ8J33apMO1qHwsmxb6VGNgTwbEeEpWz1Xbji24Jb2MciAngWfDtxZ94+nc4nie1afBkFMQsxdX6tybr6KP6EIMmkizaiDMn5ERkpLxVgQqBgM7QTbt726y9eeHdBOKvQ8j2qiidwKlRVEjWQZhaboHMoCzWLUhrUOlWVvjeuuEnjaNqV4qZu66+6JVKMAV469M1fLATzPLOfgLkoq8tx0DnSzJjzyPLZj/uz7pNImDV9xYcLv/PtlPvf1PntO+Ehpj99l24Z826sVSbIHtcYFNALw93/wM0w2a6/5nT/70vUnjeCTD8xYNz77CJ7ECVsLbiQIVWLcMiOPQLj0dlFXl/2aKiUNJBQpYlEULCn3nudmjBQdOxnYyUchlIGdz0FR2H7EtQCeBZyZ7vYyWWKc3h6tJQ/8mMCPONvSPHmwCl6A5+RJlp7PGZzV17x1k4om6oJVZe6Jx7HPtRcPmZns01qu0UsUNQV+Yr+LSo29x2WAO+bL/5DMa3vysghtHJsLtNKkWuBr25iSKsvkiZLOitQlra/zoFbKEnPLYl+lHOAZk5cAm+UyGAE7Y6+LC0NQXDip9EhSW1t0+y0p0otds4dAJxANJQTh9f7kO18TL739IX+62Gx2BOD9GEw3/mZp/GviREG9Mr5+OFBndxe158Z/zuMjyQ3LJ/nku/zElx8Vo8CQDtTF88w5IPeYlQO7l7eoFcDOn+fdKwWws+Zby95Oc3vkejuzBC1jF+D28+rEGEHMnV8N+drzDWToEUhh52/nFYRFuWmR0h7PZq41Gk2RakV/4HPTFX2+5bUdPnhngygN6aaSSmoYJqWLWpRkipSOxct/6nxMDtqTxcAlB+5USZTSltGldKMltCMTXSqRyEomdFE3LnVedJcDdUSuUAK8KcHqpQBerA6J1AyH9qIqfEgwJsZT8hoRD74Zox9ak8Gf2XOE2anGm3/5w1/8rn2nlqHSACXzq85k9pMA6bqtJQW7lhl4HOg5wMVq8Oe/7/4NUQJ0VhZbBnW5Xlkpcjb3sg76jL1LYPdcN0y2z2YGbjtOYYy5Xc9m4NrbfC9rOEhK95iImL+4r0lqQlSevSwHmEVfY7ZmjWjwjMXzKVHSzvVLs2DTQ+Dz7tf3+NO7hqzomH5aoZ8K/IScxW3/q8hlg7ULx7WoLFmTogRyQeq5jnflQO4ZlBZ4qWV0lRqUzKYkSGQ28k0WwMtkyiiTlwFemrdSKr3I1zNRvC4mbBX/XpbFLoN+9BZgmMNvLHxXMPPu+0184IvCv2QU4INY0xkmF3c60c5Wu0+jXs1Zp3y9CAfWnFkpL8ejRTj58/z1eUBe/u9HdGX5Plp+mjF2NnNQ5dOrCpArNTbsxgHbbiQrSvNRLHP7ftaYbBxzFwGmV2Lv0I948qDkwOkKRvkoKQmkxhtbdWTpQIy7KIxo8KIBIkv62E2bfHZujrn8oi5f318lVgH9RFCR4KcGLxFOurkunMTpcCQCzeifFCUWFyVpVEymyprCPaVJlQW6EsbJFGkvprQ8uFMW4C5JlTK4xQgrl0ptxWptXq45F2W5A4xLnvEKmCTu4g8HO/00ulin6RdXMXhruYWJIwITs6kuCQJdzKUrFUTlQC2BV44DNq/fZk1AF4/l1jNGGDybKyhEkREs5gza3kFZBrnrdMmZvDSmzVNyBODl4T+2254c2Hm2MmfulMCziR3bFRRjiPnL+2osLlYRoWd999LKsqoGhdLBK1mE2YiMch137k1rRRx7rJuWvOsNHZ482GSYVuipgGpqtXgWqyiJA3e2VmjniWeFuU6qjOnxkYkGutwjKVHaTgSW0qB0tjqZvKk8azIpN50ULYTjz4u5h6OgH5Urqy4CMjelrN9LF22p1DpNJXHgkQQtdNpbLVH+9KOfxlOSU+dW2NQUxMbkX1hnF03pRI2w8Thwx0AMqxl75HfHpMqaLJ43whbTmOQYe5cnyFoWlyhvFOCB5wYA+dnWgS7D6Rn8PBWv3fN05O4p27nz4jH4+D0NhjJASeUsy9GZLOMZzHHjYKSkdESHOy2eKpLUI0w93vWmAR++u8ezh6vEyqcnJUGqnXskkGn5mFnHK5MG9qbd3xrdt2iky0aDlxdnuTnu0pYEqNTkwzrLY5dl7uTolwB4ic1FeQVfLUnGmd4eOznG9OUVKZtOoIiiCgudY3Dir0oXtQP48ROn2LZ1c+0//tcP7Dh5ZsEObE9N3lKURfzlW270rSVBshNrim6WNcE/pruzkzTyWpQmVZUAlLO4GgO4Gp1DqDIGd0meEXBn6Xs/a0zWdmZI3iKW9XQm7h6j/IgDpzw6UQDKlgf4Zf0t1vqe48xTbrAe88J1eci81eJ1X3DplgHPHohIdUhfB1RSW7PtOQ2uhB1gaRNLGRg0RSFU4YblGU5XD+Plg03te8oxuj2edncKmbO4KGbf5AAXJf2drbqjgKd8zkUB2NWs7YA9UnNeShjlB9Eeu6z0YBhJ4lTTnJneccNtP1JbWviB3vS6TRbgZ8+epdNuvemiC2Z//PEnnifw7NkRqb1iVw27NKsdwYyFYQ1Ql77cWvp79fAeG5yNDobMZEp5qKYbO5YDvOh2yVi7vIuxr7CuigO3BXAxFMgvy5MyeyvX1xlELHU0v/VXDRb7FURoa7+DzIfPYwQxAvLz3fKOF+3GZIxocOn2l/Ro1jx+9Ns7fPnJJovDgEh69KUkcD2UmbtUdN2IkmuhycpoDdqBW2OQY86KcAxuQay1C+K1O8bK5K7VaoCbYvUogXyc0Ue1efm1/XT5dNvSewXAVy+BxoyWAnd6MY31G3786JEDDyVx/9M5gz///B6qlZBjx06QJAlS+Ehhl7/yAJ4R9hajj7ljUlqCXlK6lKXJCGuXRhaUZYos5g2OSpWMxccBbm0uz0kSLwd4prl1HlT6ns7B7btezqIj34LbVzFBEPHn9/m8cKgK0kdKSZiVxmZOUOkizb7seasJS2xezGUsZEqibctZkvhcubPHO17b5sN3V9BeSF8GhFLkSR8lBXHGjqxmclFm8lIXVbkmRitQxq4K2ggL7syC1XZ4aj4/RWbODSUt7phcjsqTMuBHg8hx4hvrvS1Lk7WYIpdZ9mCnScLc2ZMMIh+dRoVEOdf1qaQ+Z9uKlR6EoQDjdFbeCl4CeFlXji/F2aK4BpiL1yL/smW2K8uTMosrgR0rljH3SwJcFgDPEz0ZwI2dk+2kiK8Kt8QvDQcqNLdlb9+zU6uWW5rPfqXBQiuEinNPRBGAnU+iMN4QUKoeXWXbZZZhtieO2wJ7qqn41tf1+MzXBix2QyLl0U+lsyeFc2/ESAwjyn/MsXcOjJzNs/EOAi9zVpR7Lt1rCakDunYrVJoFnE7z52wussaUbNrv+QBeBrkprfzj0mQ10AtE2mQP2Br5qWbE9PoBk+si0sQB/CuP7WPbxqkLP3Ln4//y3qfOEMQ+yiuzUCHu15Il40HmKsAL8tT7ajYXpYBMjOjwETYvjRTL5h2WZ3+XO1zscHdGwZ3tbJAxtyox9yoGz8ZNFCMnPGUzl0eOCvYfq6AJEdLLm3OL6sHRi7NwNYqDVq5FKZi82PhpZFuQrN0s9cB47N4esXPTgMW9VUwaWBZPnecvRueZiEyq5MTjBHdWRguuyUCUgk/QsmgQLmYXOl0uLYvLkpuSigzcxaMoDSWSumD3VTJ1VWBZBnjJFRLWFhwl1tGfe0pTryasa+xhdv0F/7Iy9fqn494zR704NbR68UatzZtPn1li57oAbQrPWWQSogziMenBOMBLmc01A0z378lxYGfAGNHe9rXV3qPAzh8VbhRw2Qcv392W1qoM7hLI3X71vnKs7dhbudeeF6NUzF1fb3BgoQpBIU/8UvA7vlqNj4tYS6boVQFnsdmTLmnxKPK4aF3E227q8diLNdB2H/i+lPipG/KZjkqlAiR59wFZ4GkH9Igi2MyeS/dculVFZnc7211qk4NejztHOltBRK7NRWlVWQ3qAvT5qr+GPCk0eRl3xb9jS4Y1UkmS4Txa6zebtL/R6PSo5wl79dc8mAzdrLrMXz3PiSuuJDH63hpgpgTqvI9vDATCZf3yeXgiey1ykI8D22YyHchziTIGbldNmFcYjgPbKwYE5SPePO1Anlh5omKqtYiv71N8+it1+oMAah6eFPhiVJqMB5iMHa9x/bhKf49ZhmVfPE48Jhoe77xtwN1f6/HovgBT9+mnoa2wzGt2xCogFeAuQJ6vywYbdGYXmLJsnkqrxzOAp7IIOO1rU4qHGDl/efyky03XpkRoxa5zwsULrAL9qJwZz4ZKF2Nkc2GktlvC9PoVhlGA7+SdRxKTxhE+CZMV24TrKUZcgQLEozsAyLGrapVzIhn7wGMXixClg1OAvGD1MWC7iyFnbyXcHPAC3Nmj75l820DPK0Yoe15WMTcKdD9na3tXzjkJgog4Srn74RovHq+B7yOkIhDkm0uVg0shx8hgbMUrZEnWpJeNHS554SYblCRzTzxNPaLI47ILEt7y6i7PHK0yTAJS6dPXiiBl7LNkXjhjDG4fszJao8Y9eY1WApUlUaTAKJDZxaiL/IN2AabUonBRtFiVxxhdsTMcmdHnjD7PpO3I71E819lKoQ1G2VVJ4KHTkOFQUElSkkjj/faHP4fneay0WkzVFRW/KKYflxBrMvP4e7kuWltzixIIxkE9AvBSQ22mvYV7nQ+9KbP2CMCLyak5sB3Q7Yw/kzO1lz8Wz30XXHoqJgwinj8m+OLXavT6AdR9pBAj1mA27XVVFnMVfRfPM4DhPOi1ymeLuSYq7/ZpNCLecvOQzzww4JnDIXgBQy0ZpM5R0XbTr9y9KGtbIezMhlKYVl5NPEUhXaRl82xVkY7JlbRgz4CeeeBlOSkFCF0ch/HcRv68jJlxkI+QauauFKOys/elyIjBzsD0VY1zpx6ntbgHrVO8qDtPLAQiTmhWbQZQloM/CkCOsLP7n9Xvjbkla7D2OKgFRRBZyBUx8p6N2Mc9cPICqyzL5mUFV9ICOpsRvgrc7u6X6p+tPZjYu+vaSUzKnQ9VefD5KlRsm1yQyRMxGlxmjJ3fy0BfdSuxd7kkQhfNyKnJ5poUQB8OfG69ssfbXtPjhWMVksTHCEVfePgpxWdKCxYXaXZprc3kxd+3o65Npr2Ndq8FUgurw8t+v7EyREmRA7rYta0k1/Q4uEsSZa2VHUGW2ZRu+SvLGaGL+EKWHqWUDIVkkEQoZfs+vemmHR4zHGraWVXQWCJnFQOfR3Mz9vNV/10Z1KuYO1vaRMHgothMSqpSRrOczcyZuwB3tquDNw5uZXJA+yVQZ86JdUzso1IxgR/z9FHJx+9rAAFIHyGUbYnLrEFROBdy7DtmsMrqCcslnnlNCmXmLmlw4+aoK5mno7P0vTEe7359n3sfHvD4ITtJINaKXipcwZf7LKlj7dLsgvIaklU0ohgDOiiDuwAtsJWUqJKdqZTT2LJgcyGsbrcMXrIrR5TAqM7Onbrs/LMG9kp4kyWsZeDOvpgAtJYIFSKVbwFer7itRoQkieXI1iFr2oIjV9lY0DnGyn89wMXol3cSZFSilJI8mbYryxHhGnBHQG6Z25ejmnuEtfPHLLFTaHClEnw/IU4T7n+0ynMHq+D7IG1wGeTjzErBVf7519bg4/LElJ7kpbOlGpGR6sJUulmPkjT1GEY+V+wccOsNlsX7qWXxoQgYaLtVY85saQaootmg4PMigzcOcGMs2IxL3Rtptbk0Ng9hnGzJQC7KYC8fC11O+oxleXMpIkax5S6CteK80QC+kDbZCpgkBqRESIUxGi/wJVJIdJrgq4xBTHFKHACLP1LyI0tX44hcGdFPZZkjRt8fZ+6yPMlBXkrTyxLASx09ObhlNvmJEoOXwK0KcOe62836G5EnylYNHjgj+KO7GwxjH2q+kyfkrWlKlHYJLh/4kSBlBNujurcE9JFBleVdhc1aWtyjHkq++y097nywzr5T9uJLtaKXKltlmIp8niDCIFLH5OnYSpJBvRRwZhtLKWMDTCMM0lhwS2n1uXSyRUqBcDVHuWuSyZe1ZCml9+Vq0JadttEGCDFmchQXR/YdtBEkiQWLUAKMRH3gt35tg+d7//3wkeO7tdYlBi25FaLsO1MK8Iq7FKXnI9adczuEdExc2r9SyTzzKKUs3iu7IiWNnevrUs9lHlCOBJKOufP3smH4JrcGc/fES0sNDbF7jEhlxIc/V+NPvzgJYQiqglIeNWWoKuPGUZA3OPul1rgik1pOREmKybCMBKjZd5WljGh20dphAlkNdtb8axBGs21jxKkFyRPPBSRCglBo13SclQ+MLPG5ZCqtKuU66Oy1KX5rfKv0Vbp9jPk1o7sij289mDnxZe89L3tdtdue+5ku5whKdqoWo5IuG1OXGC66+JqNl11585e8vfuPTs4vrLy11xvgeV4h7LPvXWbvcuQ7wuSjywxjr0eYe8RBGZUo+dU/UoNSLmIyI/JEOtbOCoHy7ThU+TFjbjMaTHrpmo9KxfhezP7Tko99uYadv2LZ22rvkoUqSrKppB9libjLxySLb1gLHKUTWnZSjJvOm2azHlNFqpwWTz2+8w09PnV/jT0nfZARRkiGqU+PbOc7d4xTUzqfZgSsIPIgczz4VJlcKT1m7GyDTJvV1LqQLFk6P2dtfX7WzlfyVfgpVsZRiTK+WW32WFQsGjNEJ623dlZOTHrL7T6tzoAo0XjeWjr6PFo70+Dn+b2ydBlxTNYILEUJJGIM2CJ/bgqwZ909pYCyvGWgKsmTHOyOuVUmUbK5Hy6o9GRitbdKSFXC5x6qs+dAob2FkPnIikKaUNhi4wRQjlVWCYLy81I5csZyYyyVdb6XB5pqJ1Uuu3jI21/T5dDHQqJUgVCkQjEQEt/JFIsZ5yNnz4UpfRYbcGYfwhiBymMCg6KwMmUGeuECUCEc4LPXhR6XAvt6DOwjwHaP6Ro6u+zCjYN4zd8V9nPYQU8RnhzgZfRujP2l8r7q484IJTAXYBerfgaFJwrj4CYvxJElAJe/rBQO3CV/udDfpggss4L8fNKTZXE1Au4ioMy0tsrnfrgEj0ztpqgqxfdjDp9R/D+fbDKQvmVv4ZW65rPgtlRcVPpulI7HS91GNtoqeeG6VOlXBJqymJuiJEorUu2RpD5hmvAjt3f5q/trHDrtgUxApMRC0BcCVUrf52W0+SVnRj9QickL9rafTcqCzU0GYGPPhzYuZjKZZWd96RFfXIAew0EG0JG8AWs8ZxTwI4QryPt9pQSUcBhwCcvQE4S+7V0s6qtXs+1aYC4HlquAnDP4eOS8huHv7mXGHq0zHmPwslaVhYOSg9wFlvlOa46tMy1eBJTFjhCestq7HWk++Jkmp+ZCK0+Eh5CysAazFUYUdpwsnZRRB6W89dRLAD0HfLnxoLzVYja4R64KOJPEY+vskB94R4df/KOAVmxHehgjGWplbcO0HLSJPEAry5F8bcn0sPuJcpeBzNjcCEwGamNyF8UI+x2EtOyeZRtlxuqrzneBCc3aAB9l7/OBvrhwsrkoRkuGsWQQS7wsIAo8aXfxKtlzIwAWpZMlxp2V0d8dd1XGM6FrvR6pYSh1048yuBkDuBlj8kKi5DutyVIiZ3xik0pQ0t49FeOFMZ+4M+T3/rLJUPtOniiUkASC1U3Fa6Tli4u79OZ5IG7KuGI0o1mU0o5WGo6U0kpFKj0qXsIP3dFl/7GAP/yc1eKgSBEMhMQTxiZ+Mu/4PExegFoUHzCTKpkEMQZlyAfvGOEuSqfJi4RPBj6rpbOk0yoWX1MVjAfHY9KPsd9z50O78gGBdVPS1PYE2JFobnxZVntdBvA4kEdfj0qTtZagv469iwNSntZkSjahOT/AS8wtM9aWTnNnG1N5xQZV5SrB4tFmLZeW4a++XGN56MAtLMDz8XCisCfPl9xZE8+l12Wfuews2BrtonTW6KylTLqtsPUYuK1U0dojST0mgpTb39jjUw/VWOwokDEYSax9eqKUZHFB5miwKQoeN6V0fR5Y2sKqIvPqNLpwAWUJ8EJYNtcmOz4lNhei+AwjqfnVYF+LtUdwtwbr59IW10uswbN70Ngt8sJAjQFX5F+9vFSM6PI1lpE1AZ59CDkOcDNyxZe3ritLlDKoVwFdGQfmkv4u6WxPpqXsZcHenkrcY4xfS7jzKxUefa6Klj759NosuCxlLYu7KS5Qsfpi/utJ3EmEcsms2+u9sNGK53nQaSQqlyvWUfF0wo1XRnzLq3r8yV0BqAirTiWR8OgLW8JcDGAaX02EY+vRwLPQ4pa5jSwFnE53Z6W12XnM2dwxeKHB3Xl2WcQCFxnoxyoMVwF8FHerf+4uMA29AYQReM26JIkkzbrK6xBGrNHyP1f+x8sAHn99HvYWJUCPyBNB3vlRZvOi19CUnJRRkGe7Giu5NrhVyRqU2RaDTn97MkVJO/j90HHJH93Z4GwnsPtdSw+E1bD5jg3ZZ2W1xzwS9TN6nM53yxsfxjKII83IJT1uyjIlY/FUoqVta9tQT/meb+ny0HMhh85JCGLQCi1sjYai2BBLrGLx4oLLPpxy4DWIkhZ3bG5AS+NcFcvMZaCbUvo9Z29pL96iSnC0sGqka0cU6CvAblYf0rHjawxEkabd03gVjVcNYBhCvWr/41QzAvIy2sfBPbJklJcUQV7AXtQfMFJKupq9S8t+uZlVjAaWsgTycYmi1gR3MSFVydTpbgtsqewQzWGq+Z0/b/Lgk1Xb21YOLkU2/LOwKEc++3lWrCKjWZyH8rnIbcES0PMS2pKjkgPblMtodSngVMhUk0gPlXjcel3ED767zc/9TsAwkTYDpSWJ8Oljk3bFeVqjsrC8qmAHO40En9KxudO6Nri0x8KYTGePyk8hs4BzXFasrgsvAG4/2yrgr8EYRbmvndLVHyQMhilRpPEyAIWe1U7ZHuJlnVi+UlaBfIzJhShdaWMnv6iXNqVmY3N+DS5sEkeW2FyNAVzKQnfLNcCdpeJVXmeiC/dEJvhBwn2P+3zqwRrDoQ9Vz2pvx95hbg2OrjCrupAYO3n5fe2m43IjdwbsQv8WxVe5dahHM3eplkitUEa7QT3WUanWEm6/tc89D/a593EFKnYnSZLg0RshogzcoyA32KFC5VXGlNjasjq5PDFCOFlSNDUYdz6NEAhjSgGnDXTJzv/IcTMjxzIvEhPlY2hGMFhkS+0YvNQY4lgXGlxmNdO+wWBtn9TVQrBKrqwF9NEBQKPJnwLwORgoWLpg89HBNYVEASl04X+XGVyswdzZ81IJrAVyWjy6hI6SdkrsStdw50M19p2p2Kvcae+MvfM9IkXpossv1NV3RgD9EvokZx1yj208vT0acI4O6cyCzlRLpFCkaYqUHvHQY9fGmG95bZdH9wS0Ipd+1REGQSwUAydV1iqfBau5cUGlgjy1bbc2NaVmCEuG2baCRjqgC+OkikDL8rkvGN7GmWs3OGTkWDwWxVfjR7ZIkBk3wMgQJcZuiaINXjXQxKGdf53o7D9eYxZK6bbKuikzeX5lGsR5wF6kbUeTJSMsLspyBIo5HIUsKU89zcf85mAvhrZ7ntPbzu9W0taeaFL++K4qv/fJOka4bVEceysoWYNFav688mSNYOi8GDejjyMyJa+/MKO1GWtMotXGOStSkhqF0po49ZFK80Pv7HHwtM/vfcojTlx9gbC7Tg+EtJ03ZEHneN9mGUYlZhcFmyv3maSwQJcO/JkvLTPtnTsr5e6cEphzfIyDvfRYwlwZg6b0UcsAjxPDILJ3z/bj6Vz3ZHXY+nzoPh/Ix+agFB98NNOXgZeXBDZkY3lXD5gxBahLsiRj7yLILDG30AW4s3qTIObgWcmn7q/T7QZWmshsP8gisVPMKl9j7vf4hV1+f42IfxzjZuyFoXwvFyK5giN3t53vJU88b22TSGlnGjbqCe+8rcfdX61y8IzLkGkBKLQQDLEjOkX+AQomN1ktSv45XGYzS+g4sEuMA73IrcHsHBqnvY077xpXOJYdl5HgsmhHW2UP5ih/ifkoZFLOFMpDOwbXVEh1SBzLPK1qMKgSgkfmeI5JlFVXXB4wrC1TVjspo8DOxn6p0gAZuco9KdhbygzUxdbeGbjt+0W2MpMonkoYxpp7Hqnz5aeqhTRx7C2FY29ZDiyLoTejLlCRsRU50lczzvlu5aq8HOjlu7ZlrGUWNyPJHydTtEQLhU41WiiSoccbr4l44409TnzeY6itSYiIQQsSnFQZWezLcoWCIkUReEppA88y0LWweBGZbMmIILeYHaiN/d1cpuZ+91hR1RrYW0v1jbxX0tK+L2nUAyaaId6GjdtW+v3o7tQE3yZ1pncZWS7W/Acp/fHyh3M/l5gC8OPAzvvqys9L2rsEaiFKAx/d9hn5MHZlRrX3yMZJWXBZYnPnosgg4YHHA37pQxOk2rM7VgjH4GLttPzoIMkxm3BsRRsB998E6KsqDLMCrEKSWP95tONeSj1SM66lA7uxw4KCQPMT39th30mfBx5T6MAFD+7EJEYxcCgVhpF+TeNOqMEFksaWcuQeuKtNyUZHGFF2UtZK9pSliH2uZWkeCqO+eAHw0qFcA+WjasF+rmYjZHqqefeF2y9YUbt3bevOLyweAn7QTsoXJc1bqrcoNRqs9bo8/H20pWz1liO5h62y8tfCIclT76pkAY5UC+rSe2PbbJR2BbMMXsgSzyV0PC/h5JLgl/5ogoeeqrs+ywCUbUlTys7frkjczm1upoocva+eTV7U8ZSHESnX7iXVaE19XmNTOpaZPCwu8CLJNVrC4MggX02yKWRmNP4xhnUzCaGnefRZn5W+ZHy50W4QUO72GNa+QkfEcCFszn/NFpnQ/Boet0WzwjIYCa71+M/NGne31JX//awpuV6rsLK89D179+7d59mVyP5WGahi5Ooqf+zR7z4eBGSsnB3DLFqX7riMti+VRu3K4nVZlhTOih5h8mJLjQzg6WrtnW1/5zKWSiWkQcoffWaCT99Xx1Qy5ra+Ny5rme3WMJq1JN/FYs1EVv5/a9zGmChP8JRAkrkpxd49pee5Di574SbX46bM3lqSCoXUmlQqZF9x++sGvHi4y/t/3ycKEyeKi7xmlAsV9yUzJhfF3ydP+pC3rJlsMKsLNK1cKeU+3POM1VebDuWJVgXDF3h66cROdpnlcgcDstDj2hg8mZn9zqHIumYyIJ7vVtblI2n8NTR4NvRlJLBcYzijHNfdYlRzS2GcLz4GcLmGPJEZuNO8oEqqlC8/FvKhu+oMUs9mLIXNWCJsoVmQ1ZyUAss8fsh8W8hnvuQXdYkYR4PNNc7M+JE0pQbgMtNl1YVOouSFV1nqPhv1JoTV4BnIpa0X19ojFdYh+95v7vLwMyH3PmX3IaW0K57RgqgIjXOQG1kEnAiByoJPB1yVJXpEAXThgJ6DW2SZzGKVWMt5Ksi0nM38649e+fgrFwOk2uQg9+qVFITGaDuvwPdECdzji5AohSClq0us8XieGXSy9F4O8nw6KTmwRTm4FKPMnQ1cVyIt6fCMzUt6O8tYygTlJfSGgp//gwkOnwoxvm0OGGdvXxa7vK2eN1hafRg9ScVJeKmzsvo0mbHnIy1eJZCvVWW4VsCphXNUhESmNvBMI8VFmxP+4z9f4eH/ENAZSBCJZXH3ZbTxiLQYZXJdCjiFvQitR27yIFOJUqLH2YJloOOOnS2JNWPHTsAIuMeei9VH7/zWtSF1n6HXT0l1gtYab+OGSYRURMMOg24bpeTIf1geEnm+f35VwcuIRCnkD+OMWAL5KmBnLF/evm4M6EplQacec0oyiVJ43kkK/+MTDZ7aG2KkdAmdTJ5Y9h6pGByXJ+XAcvyen5iiaGjUZipDWIwe2xKgV9ekjNemrAHsTLIYgzFFCl9Km8a34xs0Smuu3R3zo9/R5tf+fIIodVewzj89WiqGuvTBpbXbDK7IShe2oJQmd1OyY5P53xnQs+KqjNGz5uSi/rs8k7CQd+cDuFnjhRmDpDGa6Zk6E5NN4iTFu/aGt+AHDebPPMPB5z+LkBWyHQeypTD7h8579az6YKNTQxkBegHoUZCP7g5QBvPq50VCZ9walJk0Kbkmqppy7yMV/vAvG7T6gd3iQTjmRhXaW5QG5+R+fKlGhvMBexTIxcs1dPmY9s5ejFiFlDprGGV2W0LrZgZmDouwrWOplo7JrBYXjs21cIP0KzHff0eXJ14IuOfrCmpOQ2R0rDOQlzxwt5JbaeJ0NyBdtrvIUdjjk6065YxmnutwF0RBeAXY8ziNcR0+DuDskNkDku0jpd1n7vcTbn/V9bzmpqtZaXXwKqHACyT1qmayMSROVb7Ns2WD8vTR8wB8rQBzBOglXV4OLMeALcrAdj9Ta4C82Ix0HNxFQZV02lv6CXuPePw/f9Hg4KLvMnqZPFEg7UTaYtaJWZO1y+CW7qpdHTiVwCzOH3CO431Epowxd4buUda2AaYFnGVxkSWDpD1vhRZ3/rjUpLFm53TCv3hXh6NnPQ6cEhivdHU6etVSEelMbtqLzc+SOtjmB+VkvP0cpijEcteLoMh0CvfzrB5FisJCzGUsrlaFwiZ8qRqefGcKl+1NHSkv9gQDrRDKx0gfL+MbIcD3UpSXECe2FDNNDamUrrvbFGx+XvZea/TtGKPnAedocClLAB93UoTIJIpGqhKLjzH3SM2JiPHDhLMtwc//fpNP3VfD+CXHxJXDFs3EJfamyF4KCnmVA51RYOdgdwdkVQZzjOHH63xGgF0ONjPGLrWySYegUf/btYYZu7GrrfdQpKl9nmqDSO0mrZ7U3P66Pq2h5Md/VXFuRUBYkiqSHORD7UCrHciFK2qSboXRxaBPJUGn5WK5zEGxF74uHc9yC9ta+vt8waVxItyUWFtrSAwkqSDRkCQgsh5RBJ42PobaWWPUF6v1qTcn0QpShMRZEJDahXbc1xxl79EagvI0/7UDzlKAWQKzGAN3kdUsdtjN76LklgjH6jnYEzwvJULzua/V+dJjNUyeyMlcE6e9HbjH2bvM1mLsvdUJrPMQ9JoUvpqR1tJ+5Y4fbbA9kbpUcz2exndMns0Q1Fo4V0Uh0GjpoY0hTRTK07zpVQPe/poef/p5SZQIW3RjnGaw6Ww0lslzkEuDr0VhGQqRd1sZbdPwxlmLmkK2ZMfIiGJg/QiYx+SeKB07sdbhKh2XRFtwxyl0h4Z162fwffnFqUZwtt+TyMl1l5Ku/MXRidr8b61f36Qa9gh815BbruATpUKnkXLVsUxi2aMuZRo9Ve6NLKoAs9LWUbuvlMSRjrVzCbK2LJEyKcCtEhKR8pn7q7z/D5qcXPBttlKWnROJEKI0CmJ8/HDJ8WE1oMukPM485ZMiXgrxZvVJWyuwLK6D0UE544VYtupQjoyXKL+XOuswHnpsm0n58e9r847bevgkkKagEzCJfdQJmBRtINIw0BBpQaQhMoJYi3wXvsQ9t3f7OjWCJCV/P9WM/I4dLOp2s0jdoyl+Lyt3Lb+fjhSfFZvXxikME8FCVzO5YSNHFwe/9Ysf+vLR616xy+7R46s2QkWEfpdKMCTRNeJUIlK7k21xAsyqU1WWJpTZO9fdxc9skVXZSRll80Km6EKPixJz59Ikde+lTo87/1s4gAcpJ+YVf/hXdfYdCqGuCtZ26fjzsbdag8FHU82s6eeW081QYiLKF4MpoqxRjI+9V/KfWdsqzORK2SZMhdXislx1KCXCKLTRCGOrDoXRJJFm986Y7/32Do8973N0rvSBnUzJPryRihjL0tppcuNqvY10nfW4wT+u5NomxrJiq9EmCGEKvZ3Xo5ixGSimwJUwowfMZJ8lBzoMUkEvhl5/SKfbpTcobUJF5dWg6shY4PsHUFECxs//wVxTOw1UXlLK9eCUpMmoi1IAOAc4awWbDtiyJFVEJkusZajEaICZaW+Zs3fKUlvyGx9pcv/TFaiWmLskTYRblb2MqckOeMkZGAuCxtncArkArFj15Pw3s8ZrC1a9uuCqnOXMQV00AFuwyzx1baWKRAvbrGw1sHLnQ6GFJhUG0TO87pohP/a+Dv/1DyTLWTdEHgkWYDdSkVBo38CBW2tRzGnUdoeJcnJHOg2e/3MjBFhI//LxL2c1i7IUM3Jcs5x69laUQqoE1125nXe+8VqW230+SFbK7l9E0Ljung/dtfJLjx2soyREsU+SKlJTJHcyuydPvKhyHUi5VLXcJzn6My+XGOW7S6uPW3+5PFkN6HJgKUuNDANp+J1P1vn9jzfoRJ5rsy7LE/uoRGELylJJ7Hklyfj7Y6tYMW1X/I2BPpqmL7P3OPDLEmVcwoyyeq7JybKdElPaLcI+V2itSBNFw4cfvKPDD317h6pJQKeFTBl7NNpuDjw07q4Fscbd15YqSUl2JKb0flr8bpoWEmT8dZq7JGX/v7CTPQmhDzpNePMrB9x2xb5feuNNl99zxcVbCwav1Lfxg//nz/SGsToS7dhMVQwAP5cIRaA4yrgjDkluD662A8u711pdmzH5uEzJPHJdCjaLoHLkcYy5pUwwnuHFAwF/dk+NduImYmZ+d0meiEyaiHLFoBktLBuXJ3lAVJpcVQ4ws2PwN4osSwAuobmcSxsZLcFa2rwYECSdHJHODxfCAjubypr/TCu39UeRAEpiTSNMee839fjiwyFP77f/BjDC4MXASnuhDAWkwkoWTxq8jN1NKdnjHBYpQLh2Nu0kh8hkSeZMiUKO5LJEjAap2Ucob2ciPUMoBBevh+t3TLClHh255zM/1Xvzt/1CAXCAf/G+d+OHFV549mEOHHuczbOCMEjwPcvIeWZyzMpbDepCiqx2VErypOSaFHJl1C60QB/V31KUA8sM3CnK1zx7OOBHf2mK5w6EGF/mViCi5H0jcu2tBGuk5IuxCmW2XlVktYrBS6yduQV/Y5gXc0nGC7FG3CuX+ClclPIOEWJEl+fPM6niloEc+EIitLLHPjJcfUnMB358hR/8b4LnDgrwx5YZ+0cp2pAlsXvbRziwO5Ig67R3q30Gylz2jabs9fjPTQF24x7LnUPKfSQlwPcg9A0TVdh98XXsuOw19AcD4Bfc5ehuGzdOs3nTDM1G1dkuwvVm2tM0kk0sVfbZMQyj7WKyLENKz708EZOOyA61hjuiyq6JGJUmI+AWtpm4YyS//ckaT78QkqqSHThiDY5q71F5wtiOy2tLkrXez2Ga07kZQ/dLQ71sCY6+VxqjVkq2ZTJm1fhhk+15WdSmlLcmHHFZtEQbZe9aIVLBtZcP+ZF3dmnIBJLUUncmUUw64q7YuyE1MNT2PtAily2Rs/BiLYhLrktcki9xScbkTktacmKcy1IkcorgMiNcJcFXbo9OL6RSnyasTuXHMWdwz/PwveDgRLN6aHqyulPQK3nARcCX6++SvChKa8eky7hcKUmV7PeLwFOvweKOwXP2LuRJDm4/pacFf/ipOh//Uo2hKjN2ibkdetfS3mW3ZNT3HisoK8sT95NV7gmMJOfLQeiawB4jyoLBi0lSmUzJmJs86VaU0ArXtDAacLqfOdbOkkHS1awIbYNOgUGkhlAkvOuNPfYc8/jDT9bpxgJ8MyZRcJSr8is9Y/MUq7M9d5wVhf0qhP3sgtJxzgmjmNcyUk6Na58URRtcVg+gS8ckTjV+UMMPqofCIDgYRXH+UUsMvpnTRx/64obZ6kc2b5rEV/FIF3t5ilRRuVdiaZUyMkmq3FUzFjAWjJ3myZkR3zu3/NI8gSNl+W5lieeldGLB73+6zn/7YJO5hcAJ6FJShwLcklHtrcaB7QCauSrjqfpyljK3tEqPJYR/47cxzT0K+nJ2k3wniDK7F+nrYrZ4xuJpXnpR8srzoZ6KNJVsnNH89Pe3+b53dmmEiRuUU/LIMzY3CZjYPbe0qjXELgAdaBgYwdAIhtp66ZH7ufXTLYPHKaVA1TH+SLBK7renJSa3K5R9Phik1JszSK/2kc98/sEvbt68eTWDAwSBwvPDuyqheUcSqmtyfzlzQFSRUcyi2JEAcYyxR3R47pWvxfLlexZg6pzFy8wtMuALjQjh01+q8gsfbHJ22bO1rkKNsbZ9LsS49h5tSRvPVpbHWqyVbWP8fTEGdMRLsvf5WDyfj5JpcidVCuvQ5NKlzOCybCEiRpldC6u5hXEuij3uOj/+yupebUiihE1TKT/9/W0W25KP3NmASom5ZWb5KHI1nI2VxRajaMe6qYFEOI/caWeVM7NrtxBiZLsTmTkkFJsi2JJc4+ILQBk35FOQpBrf84lT+XSlUrkrSUeP70ht7M7L3sxzT9730NKyfjxOrYuSzda2dSppiamLjZvUiPVX1IPkQ+ZlKVs5VtYqZaHH5UhmskjDS5na4LIEbhkaDp70+JM7a5yZ961jImWRyCGzBy17l52T0XT82r2Wo1AdBXrZPRmVLKvZ/W9E2iXHZIzMybyZkaRP2S4EB/jVc8VNvtePZLTk1rK2cbahKU+tNYo0EmyaTXjft/TYuS2yJrPJmDwtafB0VJPnP7OMbpxFGDv2zpi9b6Cvoa8FAy0YGPsYpY7lHYtHa9iQsYY4tb8bOzuxVlF4In78s3d+6aH3fMebR46hN36wK83tCCRxt0vgt6n4biKULCVcRDbSQRc6teyslJg8Z/ERG3HcZcmYpKzDdYnRNUKmiAzcgeHQaY//9IEJ7nuiAmHWKe1Ypczg2DpNxfkbGcotaePedxFwjs4dXP268MK/0VtmE66aPluyDvMLArsfjiwlfMYznpZwC0sx0+Ii/11bRy5cL5pw/5HAIAbwhlcO+S8/2uJnPjDB4dMUzkqmyXPmdqWE2fHOf6E4MgbrZWc7OZSJI2N05RwuSbkuaOw9LUiyWUbuGNWqVa7cvZ1U61XHdBXAX/mqWxHSi07tP0nSYS40MQAALYZJREFUO0bgO0CXi6EyYDr7jnF5koGYLFAbtQrzoC23DrPfycCu84snA3jO4j4cnfP42d+e4OP31Ihwo/zPI01wIPVFaYiP+w55vUnpYBeSqsTOY5LkvDcx9viNgnzs+ci0q9IjGbCx0sVoW9A0MhHLpe/HmyaEu5PJF2PywFMLCamh4qe8+019Ug0/8z8mODZXQozGmdVmTKJkjc2l0V8I8vYe4cqAs4SWEKu2L7FgtjHT6DlzskVDJEAm0BWCV0xv4m1v/aYoGtcnawF8YnIaoSb/g9i68fL+0hOvS+IB2qjcLhx1S1b72CMauwzoHOysBnz5v2NUh1vd7ZwUD47Ne/zEb0zwiXtrREIVe52s5Zo4HeyJoqBqLcYeT+asaQ+6JM6q+pM1I83zYFyMAnYtUGevc5uwpMUzMFPS4eWZ3XkNyxigM49clFhcGwtqYaQdkpMJIteqJiSkid04971v6eMp+MnfmODYPIURbUxJk2f3cn6/HKhkX77EEqIAvhFlwAsS9ytSWJDmW7q7/9oWc6Wsa9TYfNGFX9l50bb/ML/Y+esBLr0p0taH27WG2Lc0P7ilEbZVmtZItSrVoZRlRqZddYmNC+bOz2tuuRVSBfe+KP2+KFmDuTwRBuEZTi97/PRvTfCJe2pEqiRLcilSZg/nnJSYeySRM2IPjp6HNYEuxBjgC8yOW4TFBb363xth6BH5UciLEeCXEjlZF4sxo8PoRzrx8wYE8Te4SydfLNiLWhfpirNsTbmH4V3f1CfR8OO/PsmZJWyHr6AIPE0J3EaTb9CUHS3D6FETonQwyidA5oAHW0CWUqq3dzetNSrtsmlqmNZC9v3i736q/ZM/fPsqgEvOczt0svejv/KJi5/t9I2dJ5JvkhrnIxiy93wvdttgu/e9GKViPM/elReP/rfO5ivS7QlCJMVrUbIEhS27TTzJBz9d5eN3V4jyrMy4z12WKdm+LeCV/Ng8gh+panTvuwtwXLKUTtPoi/9/e18eZkdVp/2eparu0ms63UkvdHaWBBIkIZAAUVEIKgg4oOgzM47jgjoybiMOznwz6DMLzPd9buM3I87gqMyoqDOyKaKjMmGJQmQLAUI2EhKSTjq93e67VNU55/vj1Kk6Vfd2pxMSEpz5PU/1vbe2vnXqrd99z2+1lVEali9PGml3m5MbcMMCf8opRFLr63I4I9OhyedMtUoxE1DFov0YlCRwJHD12ire+9YyuAkSqZtc2kvWOWTMitEi/caLMO+DaNHHKimjgqN6gQjR2eTjxvewjc3uyIcnG3feaCVreTfuve+74i3nnaWU2gkhy2A04jeNOLPRtFmqYp80Vl/2WluLGzOiRIr+RETsZw97uP2nBdRodgJpgT2lxUmKexuzVJ1J0AbzFIvNw+3WgLbZ8GjYwGMsZ+ui2OGz0T8xZsN0NlC6DEWi1SfX5IZ7a82vksknzGcFKSQ8IvGOiyvY8BzHT9fnInZhTIaGkph4HHsgSOZJta/ZuhGpyQ7N3NfMTaAUkrZjLDhbdbcycdXbrpw+wAHg4jXnQYry7UO7fnWyS7cUo9SeBhYPDW4emQHNPo0uRIjEzmsPQBIKaT8gEY45wT0P5nH9l5rx7Auu7qNtc24wxCZBYt4n2ru+9EM6arBhpnz97Wm4DnWfFQjoYZkIs/iuy3tN2QhtF76Kx7GOi1uhtdpKUh+FaGJS4s/RZBSK6hgQFfHyyHtEqfZ2nr7Ax+c/NoZPMYUfP5CPZoDQk8u60bImHTYewgZAT4GX6LmVrbBI8hsLAFQ56OnqmVhw8vm3txRzmEwmBTjLn6QGd936ZZJf8OHy2OPFliKLf7xpzI0lHEeAuhLVCWCsbLqLZeCgdFpTe5vQtK1mHBWNQB5dJyUgnOCuB3L4zFea8ewLjlbHJHPR2ac8WkzMSUxLrACfxE2s6kAdW3iyE8kMR7fnTfVCcFiaPHP/U9O2FN9GopmtB6KuKhbQWJPbJsPJNHm0HZLo6rCKJppdKsBXWDw3wM3XjYOC4J51OQAymmySRCPHiR1WrIGvFXxbu84WS7IqEoATQjBWoahNMG0LdFl0TmbdIYnW3DguOe/sg+se/c2XP33t1ZPywkkBDgD7ymdjeHQYP/npA7jhnS+BEW0IJUQ7eGhOYNuLHE/uyGH9Ex42PueAMOvnJq7UpNBUELjiwirm9Qicd7qvM4VCbdqKry96QyLVe9cDOXzm75uxabsTeSntp9h+wmkK+CS6MJNAnM6MtyaZ1pClnT72kE+lwbPJxgmwp4vvBr91aYRneF5c2th29MD2eKoUuKFUTE8MsIFkUpqAnUZ1T4zlhcYRiEQpKEhIUFApoQKF0+f5+JuPlKAA/OiBSIM2oidKASFAqMLqM33M6w5x5RuqKBZM1FS0jxl0RvDUZgfrn/Dw1HYX23Z52s+hKw4BIOCkihvfG+KKt86Bl5uBT187+fhOCXDqzK1t3et/sEpf8/1q7UAx71EdA+IIBKHELd/TAU47d3kYnGCoVFiSkpGMOqB0RODDj+cxozXExRdU8c6Lqlh2agCXK6gwQY1pf3HvQznc8PdNeGZ7pLlTbRVszZ3h4Ehr70SD13PvRgXsY2DbnzOTzXq0N4bz4Spx+zW1zrKcGHQnJkOLh8OaYNaluZHI7DiFVYVEbnxiKI+l3cEi306kyQPgjPkBbr6uBCmBex/2TKxr8sWF7g69bImPay6qYu35VXS0CnQ2S81ATDqPncZHFS5YUsM71pbxwi6OH/yygK/d3YxaoAAeNSdgDs5avGDipFnkg8Ttq001rlMCvK1pVK49b9Gja89WY+HBDUUhSnB4iCBU+PztRXzx2204MO7CFI5HwQDNgDuKb4SEkBL7xhn2jTFs+z7Hnb/M4bLX1vDeyypYPD+ITauSAvet9/CpLzbh2R2O9p5Ro7Gzr2nNbZDIkJ5U1tUYRPq9DerJbOEJJSEprZ8Fc2NufniSds032hbN2FXyOXb2pI61k5ZN2Qk0ALf1ixBrcK3VEZkRGYx215RFR1YBS+YH+N8fK0Ep4GfrPYjo9jMAixcFeO+lFVz22ip6ZobIMV3PRfgMNcni0F7zauZunEv0tAictDTAqQvGUCwofOG7rbo5L+dw861QTe8Yk2TOowf2T8ipxpJOtbG7qwvdM1sG2wrVq7yW1UEYKoArPLWL485fNONAKQ94OcArAG4eYPaSA2i0EF2aGI6uxV1TDDsGHHz1OwW873MteGSTCzBd7uAXj3r4xOdtzm1m1Db6Mp8tlaq9YFbyMBLNXZdjCfsUKk1FYmAnFhPrYwJgcuSgrgu0sqkJEGu2rPcSqn6dPYGEDVxYGh0myhCTavEkrsVaos/1vwAK0gcWzw3xhU+U8LqVPqgEiABWnh7g1r8YxYeumcD8rgAeFIRPEfgcQehCCAdB6CIIvXjxA/1areVQreRRrXqY2URwxevLWDqnpienguDy178m2D2Iq5jTPsjc3inHeEqAE+KhMrYdxF28hxeWb/dy7dgzIHHTN1rwyI4mIJ8HeAFgeRCeB+E5UO6CMBeEewDP6YV5GuDUSh2jFD6n2PCsi4/c3Iz7N7i472EP193cjOdf4MlvC7F1Yyo9uAH4k4wPCpVo8iygkQ6qqgN7BuTZOfMhtbVhaFOiu/5Y+3xJHma01TYhgjTYxzrO1uwxmGEBPwng0tuT9rA20GFpV5V5H38npSnmyXNDfOX6MVx8Xg1rVvj4yqfHsPzUAFwoSAHd11MyCOlASB6B24UfJEst8FD1c6j5OdSCHGp+HpVyHsvnKVz/7jH0z6yio7UZF68+ZfuFy+fseerZXehqnxLCU1MUPbYMvPYfO71cx/vLYvG6e+7bhweeaAZoQQOacThUu8PjFCQFhCpKOFU0yvEjSfyCkgCRekCJxMbNHLf8MI9ylWDrTg4Vf6tG5gqzDmmQg8SPgB1kTyxPaZaemOcnaxrMAj9+32i22QjZ0HOJw9HkdYDOsHHbfW8+2w9KorFVRrMbd789QbU0NTHc3vqcmnxG8yJFopJsyYNgrFWAAkKKRXMFrr2yjEqNYOkpIYhEXLxTO5CY7swcapCHgkNIGrUrJ/GDa4qucsZ1H1AKrDmzhktWDKGaW4MDY9X3f/Hbv9z5+29ZecixPSTACy1zocQYQJv3/uZp74F/u3f7BYOjDLS5gBxnKDAFl+lmTeaGmixoP0pjqoBDxLxRIHbTBkB/h8S5r/HxZ++dQMUHSmWC+ze4epaYwnUDWpIy/uuPNjUxk8tGGrzRexuijUJjbdBnTYXZ41+ONAJvbJECYMeEx1qYKCt01rakIOW+hzLv0zQlZTqMLi6ZtOoLTbQ/BSEy+Y4EoEzhF4+4+Ot/bkKlpqMoVp3po3+GhKgltnedWMERCAdhyHXlhjidjsRjSYgCZwIO51CKoq0Y4OPvcaCa5j0wb+Hr91bKE5jR2nTIsWSH3APAZz/3t+g57XVDvmwp7R9mb3962wBaijnMcBSaXIUCV8hFrW4cquDSxIPIo4EPQaFMTLEKgZrEol4fn/lgCR97ZxnzegR6uyR6OiTueSiHao1aZg57ImlivGnmfZSOFpW14DRp/5dqE0KSFit1TV3t9cTKCI++gmlymn7V++l9onVUZ7Hrr6Vtu9SsIyTldLLnB5SS9OfMdkInWR99dwL7e5p9lPUw2skmSGpBWqBKF2IC0rVu6hNTzHWPjDN89PPNeOhxFwdGGNb9xsW+AYZTF4bobJOaogjH4t4O/MBBEHAEgQM/5AhDjkBwBCGHEBRCckgRxayrGnrmnI9ZfSf/CVebHiwUzpiWsjg0RYnkghULMKuj+dGaH94xOFy+YsvzO9GSo3B5MkgAiaoN6YKPoQR4qDVBoHR/RgBATWFBT4C/+FAJV11URo4qyACgjGDZaQHevKqGb/8oD+Sz3yI7qczQE9LAkWNerXXW2aI3DcIKSKOPloaZbKBS2yZX65Pyc8svUmcytAOyMnbw2GYeB3AlgVlmr2TiGDmAIhe+CYTL8nCpdHZ8xGDiiWZ2sIgH/OjnHjY+60JFKTj7hxj+7UcMNZ/gLz80ioWzJYJAZ/WHgsEPHNR8B0HIEQrdAlFaSe4mY8zhHH4A8Pw5kGTVHSBLH4UanS5spw/wxQv78cyWPTt/9/LzPvqbDc+w6tC+yyCqcHlytdpLlpTTCoVuvacAVIVCDYDyBeb3VnHjB0Zx1YVleEJB+Ia7K3S1CLzrkgp+ucHF3oMccO2xTDHiZDH0BEmM96QWExugJLPOXqx1MU5J5ivYoIfFuW1kThfchoWY+aRtYVFTnyMVaGXxbENbkkmmRVOU1eMyazK0LlLZT7tKm6wBgDoKewY4vn1vHgNjLOGIHkFVUPzg50WAAJ/9wBjmzAxR8QEhOGq+g0rNhR+wBOBRNlJ8vQTgVKCpWEBB9tzttq39aHV8965884KjD3AAWLyoFz/5z/W7rlx71tMsHLlsy9bt8FxHN/wxAWYKkFKXExBCdygjACZCQPkSczvL+OwHhnHVhTU4giEUJPoZjMJkpcLyJQHWrq7hG3fzBt48CxEWOU7y/CwOPhmQkQZ+I42d+U+NfTnW+esOOExRk1xnDHrba2ltU1GAU/xQRBo3AXPW2ZM4cEy8uT2B1XRAxNrejn8xF2vhDwDBfQ97eGyTE/Eji05SgqoAvv9zDoDic9eW0NUiMFpiqNRcTFQMwJM0OxklGJv+Q0oFYLm5KLSf9/RLO3+9q3fuuYc1rocFcAA4eX435pzUe/PuXTvmU1l6x8jIKEJB4AcKodBaGEgyvEOhzd9lITBv8TA+8OZhvG2NgvLzqErzUyRBopxLEgrMbguxeqmPb95bSD3NFtysWV56QpkAN+GWNLMuq5GzGj4F3kkAnXkmMhPiwwd4DOi694kVBDE9iYKtiKYfFiNpsJD4bClKY85vTILEjli0nD8kNXKpyyMEkIJg/VMuBoaYrseRDV9mOqv+e/fnAMfFe9bW0NnMMVLKYaLixOA21yAVQRgS1AKCqg8Ui+1wCvNv7+o56+aDg3sOezwPG+Dz58/F3ff8ZPSkk/r/cHRoR++AVzv/4EgAUhFgwg4rSLJf2hXB6QslPnBlFZ1tRZQnTF6niBORaaR+iVSgSmLpwgBnLgjw+GYWxSE0QFv0avPvmJlnwYsG9CO6zQ1t3xb1qf+P6a+RZiuHj+4sJUmtO8TpYj5u8++Uts5o+jh4Kx11mNjErUA4w79VGuSxznGAx5/n2LjVQbr+o9VkgHIQQiFA8B8PteDXmyr44CUeZrTkEbcXRDI3UkrXLSyVCYZLBK3Ce7C3d84fbnjk5+WVq9542GN72AAHgMsuvQS7dz5RXjjnIv/f77wDL+6rAkqnRlJKY4sAZwSuQ1HMM8ztVhgenQ2iysh7PlwniBMllCI6rdJcqJRYcFKIJXNCPL4JgJf5AikjdgIykuXfsCeaDTQ1SWujLEaz09nUDg2BlyAyOd/k9nBVf1iDjQmQE40e+RDiyaPZxwagil36CbWxwE2MbTxZZ34REpt4vckyNQxMYdNOjq27HMvMwyKnnl4YpcgzgiJTaHEJZuaKeHorQ/9simKewnWi1pWmJ2rEbjzHh5MrYOV5F/svDpLy+UcAbuAIAQ4Avf1zIKV8pG3WklWDDz2cb80L5DwKhxNwRmNwex5FS4GAc4HShAvOZGx3jW8aj4BIJaipgCoAEWb/qz2xTGBn8+8seLOAtk+VpSUksz59N207Sj0o7f/1csXm49nfriTAKsPLbS4OS5PHPDpDb6yY8pRTKHb+JFcVW3Ri7h59JgSMa+tXXUYVdcAo08B2JJochZacQmteIRQEIyWBUBDkPALPATgj4FzB5Qo5V6K3T2Fl/+mVjt75jxAytbdyKjligBPSjqGhyp+94fw3qGee3v3xF3dtzbmcwXUYOCdwHArPoch7QN5T4ExBSAI/YKgFPO65k/TIFFH1UxFpdIWmoo59gfnJhI2gBHAkA25baydD0yhMVsWnaqiYGzwQ8epGPPxlSpqWGG1qAT6mI+YDEgphTTRta4yKLR+2Nrcml7EWz/wiWEFYyFCU+DaEQGlCd3JI/BW6ohghFB4FCgzIMYUcV/C4AqMEoVCo1gSYaZglKBwHUXsUgFGJYsu86tJlF3/RcfmfE1o44jE98kcDwIwZefmL+x+4cf6c2X+3aH6fn/M4ch6D5zLkXIqcq2s3u462aepCMBShoJEHiyWuWiuyTAiC1iaJ1Str6J4pEadYp0CeEOR0BY5klyTBuZ5/m9NNqd2BemuL/U1I6lult9WfckpppKkPlXk/7eNTVhSkgJvm7LZ1BRaws6ZKAsqAlwYpHn7Ew8h45E0z031KQQmBRxVcquBGlT1Y5IySEghChVogUPMlqr5CzQeqNWC8DHiFbt/Ndf/d85vW30hoYcpowUPJEWtwI00F5XfMmH1TS6HqD7w0/rn9QyF1Hf2zY8DNWdR2DsaMSCJTkAXuKBEW0cAyAhQ87ZFMo8SGcVT6C3atk3obeBbIdRYTZMGcgWPdjpONBpnyYyNJmQcb2JlT+6IRkBNtrjLgjc2LJNHddbEpcYSgFVMe3QNjJ4+BHkcZagklQdm3gq+s1DJGEDfVtYuaKkSd0YRCEOrSIFp0Bv+4dGSf0/m5XHHW5/cNjvpHiksjL0uDA8DvvO1KzO2uVFat6L9jyZLTlO+HcLiC50bg5rpoZ5wLbAY5FbaJFOejDBguUfzXwx52H2DRY5hJPo1eTXBVUpVKpTFI0j+uKSrSiGY0NJVgErAeA56SERvUKrMyVfEq3pjQCbsyrR27kmhukhwf270zmtwKkQUQg12EBH2dAq9bVUNbs9KlZa3f0fp+R8mjqYynO1TwAwk/kAgCAc4kFi85XTXNmHvH8y9WK29c+9aXPX4vW4MDQEdnL2b3tm4ZLTd/eNW57B9f3PEk9RwJFs2OY7qQuktIaYNkkwKIQiCA4TEKFRDdx9G6eQbccY4lkLF3pylJ0kEX9VwaySkz/6Xh57Q15RWSCKjE2MKJpRCUivl2opURrzfHx652wDITKgvcKq144vtjhddm4sEpV2hv0bUrszfXdl+kxs0KEBNSh9qGQkBKhbNXrJCLTl70Yaepb4tfHjoqQ/eyNTgAdPediRdekP6yM1feOrPd+WR/XyuaCzV4jm2KSghrAsBM8I91mygBKLesJSmynKAxDgSyB5JE2TzWwNaHxKrUeiMprp3Q/JRMpsyPlkxmF1eT7Wveq/r9U8elJo0WiDPaPO3BtC/QPEmJppeh9mLrunEKOiZaRU6bpI63/d3seVAQKgyP+XBzbaj49JNnnbX81gIb91e8ZvFRGcujAnAAmDdvAcZGB8TZq9ZuW3H2OaXuWTkEYYhyjSAMkwtMA7u+tgqNqlrtOcDwwgCPAruzdU+S3Es7qSGOgjOjGP+/ZGTtwc1q40Oa+DKTzGSZZLbZ6MBpSsKFreMbeSLNvim6kZwgzsSxnTlmf8uRU1dbxbauNMr+AQEEwdxZAr1doTUB0GmKEpq1JJ2aiYUB7SPJuTrClLrNWH3+BaUrL3/ztt17BsTChQuPEiqPIsABwPXyKPCRu/sXLv8j1nHh0JaBIgaHBYJQX1ycH2n1nGemBqFx2VMBUIlHn3Hx8CZXu3/rbN8k0tLpOt919ISkwVxn+bC3Tca9X3GZzhdIAG+/pmJULI2bdgQlQMumpNmaOztPMpF+NuCFT7F6cYAVS3zE5ZVNDq7SEaRCRQ1jjUaPxtrhFK1NFKvPasEfv/+1Q+euXPFHu/aO310o5Kdx/dOXo8LBjeTzrQCAHS+N3bbwlDV81Qi9efPG9Z2hKEUxy6bjsakrHnV4YEkZN84lhsYpntziQEliFde0Nbi+xVGZnwYuepuyWKUgyCRAT0EnaUia0vDT1fKHI9NwxTc8LOV6N18qo94tu7YBrbFiGJDHHNyyltgVsOwUN6Q0ubF8ETAHWLrQR3tTiOEq0yVfZQhJOGqSoiYBVxKEMopVElHdFSh0dLThggvOO3DGmSs/DYS39ff0Hs4wTEuOqgY3Mq+nBW254F8uev2qG5aeceoBzwEcLuA6Ao4j4HABh+m64zyqVWhqFhImsP5ZF/9xfwEA175b1NMTu6imCeyfbJKZNgFmJj6HsIJkJ5uNZ6np/Q9X6qwk1oaG3JtMflxSUClx2sSLZX1J1mcz6xMtLYEGNMXyV0gKpYDfeV0F5y6pJe3AZQjIAIFQKAuCmgD8qLGZH0JbTUKFvv5FBxaecu4NExP4F0LajyICEzkmAAeA5pYWbHzigVvb2orX9/Z2DRVzPgpegJwbwnMDuG4Al+vF4QE4C+C4IYaqBHf8vICX9jsRPclocKTLspnKYSkzoc21G1pN0h7MqBtiPU3JcO6pxH5gptO6JCvKphlq8u2YxvYsoO1jYmuImVhawK7LuLe7tCmrQCciDQ6G0Gfo6xS44g1lzCwE0FkNNUDUIEWAilAohRQTAUEl0HbzUlmis6t7yHHz19/7k1/c2tTUfBQQ11iOGcABYNX5b0KOlb7V0z37ur6+WaW8V0He85H3asi5NXhuDQ6vgfMavHwNZaFw6w+LuOv+QqaofbpOHUG6qI9tiUnHpKj6+JTMRPOYiDr6xxJYTpxJjkl8CfZ5shw7eXolbI3dyD9Rv9ge5zjHMqC4fE0F77lyHEUeANUI5LIKEfooBRLDPsWYTzA8IdDdO6c0u6f3ugNDlW/9ztsuO4Y34ihz8EYya2ZVEpa7XfizQlGrfdPDk7mcJ8BZANfxwZwAyhF4bDPHD+8v4J9+0Iz941FDqbhDmp2TicRLZvXbybYBrKMpsSZP7MONbNqTPgBHyJePphz6uSEJ/4ieaBNTmMSxJA+KKUKVFPyBlXwceTajRrIkSja2a4gbLi5Chq7mEH/y+yU0FyR+eH8RT27OQXEBxQNI7mFCOPCrBG9cMa/ad1L3+xRv+fcDperLcsNPR16RW7Z369cxe0EvW/fL564YGXn+X5fN+02uo0Vhokrw4/UeHnzaw683udi120XJZwCnSNpvcx16SUxssS5Vl6OASxQcCt1KmminkkkwjsFP0x4143gynjaTsMuo2U7i4wgxruYoAZnqMGCzL432ZTTZRikBixKOTaKxOcZsN/8vTno2ydDMJEWraB9lbVfROZJXSnRbR0rM5+j6qGn1qH/dTDtIYvqCxp2jk56ncZNfonTDMGJaOqqkaRjTHTc4tQ0Duo06o7pJ2XgAvLCb49FNLh582sM9vypgYsJBUyHE+65eWO3pWvi7j20+846emTvFX3/q7ccce6+YTvrCLV/BE5vPI+ec8Yur5nY+940NT20p/NM9bRgdd1CpUIQmDiOuQcgSgBNTNIiCUSBPoQN5SARuK5M+bj1HM9qdprV8AnhkAE3S+8evEYgJibPyTYb8MQc4yQA7Bry9X3RdLGmDbh50k8CbPAgJuE3/pXgdSUy4pqO16U5tAK5bSloNC+L2jsm5QklQrgDD48Atd3pwiyvwpgvm/N6q1Sf928aNu9TSpR99RXB3zCmKkY9f+xH8v298Rd35nxu/f/EFS/j6Z1r/cf/BodYaJYBjdQsAgFS9bxZzDWKoCawEY2JVkIXl8MEk1pRGX+5QfppJ5Jhz+cmkAV2qz+kkaXe95ca3aUpsMkRkyqbp7sl2uWUaUxMV1xeX0YkoABU1cFVRkR9GCLrbJT56Td9grfiu4ZYZZ71wYLiqli49urbuqeSYTjKz8kd/8BEsX7YUO0bO+M5py87549+75sKD/T2zAekCygVUVAM6W3Un47k09COeaNo0BMlk85ATSrO+PkzmhBA12SM3nYdKTb2toYcSaadO3M4EZlJp1zlsfCwBhVIOfJ+hKnpR5VcebO244JNzm5efTCgeoiw3jS9/9OQV0+BG/uZTnwAA7D8w/C3PdfhX+ztu+uq//lfn4MggfF+g5quoqlUG6EDcVs4UFDL95usmmpgM5IcPYWL9PcROr6yQI38gTd3wuN2l1FV9dVN4vU7qFbpwkdRUKwmdTXs7oSLLFhfwfYqREoXjzkLzrEsP8Oa3/KlSwbdI/lok9tlXTl5xgBvp6mzH8Oj416+9eg1p8/jfDu//TudLA/tw209aMVwtWlw84Q92vHfCtet7ztvVqmzs2TVO9F3CIR09vzViuecTg6LWvBIAjUGOCPWIWwwqoovhU8vpk6o0CwJKFUbLErfc5UHIOfjQu648kJvx2hug1NcpPzZOnOnIcQM4ALS3NmF0pHLrNZeeE+Zk6Qv7Xvx++8MbS9jwfBFwOZK2FVooMbEnesJlrCZ2UH22LFraRJgBPCxnyKsd5Dbdshxck19aUnQTiGJEJNHu/xj2gO45pEAJhaIyscNHJ5egIFLfi+0vcdz56Jm45i2XDhc7zv2UEvybzPVwPOW4AhwAWtvykGF4GyEXDqnBHQtWryR/t2HLkw4hDghhkKEAqIjVb1w9lhqQIwZ8I96dsn+j8Q2Pw6dfxSC3H2C9qPqnOXPNtlYnkT5XIKBSAorGNnRCFGQ0+QS0mZFFFhY/5AgCBUYp5s67MHjtOf3XX/3mc7cRJ/8j5r6iU7wpx+W4yz2/3Ii+2TPdx57Z9gcbntr2Dz9dt4mMVkrUdScwNMJQUUXkXI5WrlDkCh5TcJhKFde0Q2VJA4aadQDVmRFpvZmQGXNgbM5LzIS2bTwxJR49M6ExARLrgbbNhJQmv2TG7JfYyGV0jqSYpl2rsRES7DbtScSnDpBznBCeo51z+VwVlFSxf4SCohmUtcu2rjNVc+cpH3YKp34DGPAJOed4QwrACaDBjVz6+jOw7pHn/DNP7buNQ91PA3F1/8xtf3X2yVvxzZ96+M79DqC4bssdgZuzpIIssYKtAMRWsrogOyRavC4pwMRlZB77xpp9ct0wbcYzhYZtdM7p/oPkIU5yppIKApmsmzjBWO8lTZ6rUpFZMKIqlOnGYwQgJMT37qe45e42vO+yk3HJ6t6/YLlTvi/kvBf9kTG/qf3EADdwAgEcANasPBUAKrf8yx3P/8Pda27a9E3mdjWLP1v07CaWIz58lYfHFDymKTqPNVT9hBLIBB0hAa9xUWdd9XVReY1c+NO6kiwCp0bkdM4bTw3NBUx6nkz8oQE6qdfcdtyJfQCBLsFHpYKkSd1uTnW17SAIsXOwBR2zVolRv+ev5y2dddPTjw2JM5YfvUSFoyUnFMCNXPueK/DSlu+J7kXv/svBA/v4mLrvk10dT3kjEwI5FqLgEjhM1VEOu1yICa5PJdlaIo1ms50e00HvoTTty5iwHpF5m1hc23YdGMqRacAVz0WsbB5pFZ/Xp1EgkiQPRsggQgpCBAohR3NrJ/78gxfUqu7V/3dG6+y/BL0TN1x39ZFd9DGWE4aDN5I9+4ZBGaAk/vahJ7at+vKtP6FtfGJVuTTEOWdR6Ym0WRAwCa268KeQutuElJaBIba0WBNVi3MziyezFMfOxKJkOLgpfJ/i26kYlgwHzxTkT9alY1CS/VTMqw3vZsyyKEWfExe7qWiQ8HA9QKbEtS66EwoCIRKHTeLK1yU+/IBAyhBdnU3h7K5gfc+CK6VTWLxeCXUDdSkI6TjeUJlUTmiA2/L12+4E57y5XJ742t6Xdr195659dMeecTDO4DAS83GQqLCMUPADwBdAIEiUG5gAnGVAw6imPMwCMbMnntakMhtsFXdmyACcEAI7TiUL8GynifQkcpoAp4hAbgAuwaNX8wCYuBXTpk9Ba21diJ7CDxiCUHsqAV1ZinMFh0lIGeJgqQXF5l45d27f94rFwgeCMCydtuzYhrkeLTkhKUoj+cPfuxzbd+woeV7uusEDe7fe/+Djpytv8IrNm7ehvTkqGcc0gxRSAT5BIBREQGJNbmzDpowEaPQLn8l0sSWV00kaawSrknHsYUxSxOKA1eSc2ROQ6dMTezIcl5S1vqu9GOcXs4KgSFR0U5rUNFAEIUG1RhFKzb8dTiBVAE5rmN0zFxjpvKOnf+XTfb09X6pWq6Xu3v7jDYdpy6sG4AAwf948ABh88tld/+vyy6+c0z/vOTw7b9YVmzZtQq1SQsF1wBlDKCWkkvDLBNVAp0zJiFNSoiMQjRiLgXHgZaUuliUGfAPDsuG4cbF4E9nU+Lzx+a03pNH/zJh94hr3dWe1W7ZYVIWpyG6tgQ6iG7ISqhCGHCMBQ6nMEUblH1weoqO9GbP7l6Onb8EdS2ed8jG/Nr7TK3YdbwgctrxqKEpW9g4MwnWchc9t3r50ojzx0e3btq7ZtXMrJsbHQSlDEApsGaji8Rc4JJhujEV1/LhDdecJbl4jkyOnOpGIG8oT0ZN6u7d+MBIub3PwNHUxtIQx6z2NbN4Z/p/YrS27vtUQyt6mubYui8cjEHOui/Bws3D7vYgTvk04LKDw9PZmbN01A1WfIwgCNDc347RTF2LRogXr8rn8lzpmzXtKinBrvnji8uyp5FWlwW3pnjUTALYqpbYCeHodV90rXnPaLdu2bV24besm1jezhItWD+LLd1H8/KmZyOUc5ClFninkGGC6h1GFyN47iWMoXpKC/o30gkJkfsz4x9OlHDLnt85kO2IaqZ04l9K0AIwol31e+1xxQoRx1DABxwnBWQiHCzQVKli3UeHLd+TR5viY38OwbNlZYtHChVsJCa+df/K5ewE8fyT5pSeSvGoBbiS6Ac+PjY08L4RY6+VyvcuXL/vB2L6ftfR3HCw67gD2HeDYtLsDfo4iUGYipcAIASMKkiKehOpzTuL1tDS3AWfc0QwafCTVQSEDbJXm8pkyi0neaLyPMenpwyUQRfypeO4QP5zxd7cydaz6Mw7XnkiH+yjkQmzdG+Ar352BLfu68NY1/RPXvP11YwTyqt7evj2M0Z2vdmAbedUD3EhLSxukVDvb2ma8ODFRWdLVfu65zYXXfK23uq1p4YI9bQcm9oOxMQyO5zCuHOQZgWIq7gjHaFoTEiTWlCwtMUC0Td52K5C4oXMq0DzrHs0+QBYVaaTBrVNJmdRukURB0aTed1JCQyVZTVRG3TQmMF4NEYgCCoWTSpe+6Zyh3+9axme0kPcvWjDvV8WmplEA8rcF3A1G/bdDVLAVIJyCfYOMlK5/99DwxCd2brnLl+GvyfX/6J06MFzIeeE4ClyDkTOCvAsUXAWPA65DtKeUGy6eNHC1s38aUwNimRNJ3MqFcQpOCTjXDw3nsHi+nZIWOVqmuDN2jibnCg6XcB0FzxHIuQL5XADPCcCogpCA5wSY0Q5Uglr1ptu7n1t95lnOVW9adVvnBe//P3f/863eSbOLVT8QcunJrx7ryHTltxLgRkbHBSilGBsbI7u2/BCPvUDYSHnGP1Rr8uTd23ecPz7yEtt1sIK9BwlaHB8zmiiachSuA3iOBqbDSNIZD4k5UJdcQCobKOk6TKLJqT6WMxo9LDR+aAzAeTxhNEFjCbhTIQbRr0NcbDSy5XMu4XIFz5XwXIm866MpX0ZHe4ADYy4mKp3o7+sQs7q7Hyzk6fPbdo9/+MEnm8W73roGfhCq9pnzj/dtOqbyWw3wRrJ3/whc12sfHjr4N49v+LH7wMbnxCObu87qa1HLq6X98CsT8ByCQoHDcyhch4KZPtlWuoAQUdNbqSzuTiygJpYTxgg4p3C5Brj+dWgA8EiLG4Dr8yP22KZDegko0ZaSnCvhsACuI9DakkdPdxNmd4z95t4NwWOEnc0uvehCv6W9/TMi8Ie5O+N434JXVP7bATwr//Td/wII1hBRuxjB+FWVSvmUaqWKrVu3wmECSgaQUiAIFRhlcBwGBSAUEn6gIISmAUAyEeWMWCZCgHPdnMt1NMhdR/cOdbjlSY1NlbpZAFTSLboW6NZ6UAAhAmEoEIQA5xwtTS5amij6++cjl/eQz+c3z2h3fpDP058qhXXt3W863kN8XOW/PcCNHDg4BABrAz9cMDg4JP/12z+Q/X2d83p7Ov90z57dqPoEAwMD8KslAMD+4QCMUoRCt+OQSmtj16FwHBrxdsQa3OEEOZchl6PIu4DraPu7tp9rze1wBZcLMKYiV7qOAwmFj72DFFAUPbPbMKOjE2PjAt09vahVhm5SwcEdq9dcQZua2yhlzjYA9xWb2o/3kJ4Q8j8An0QOHhyE67pt+/cPrHnuuWdRrqiguSn/cdchF0mlsG+whu1bHseegVEMjem6kw4HclwAKojKLdiBWwTFAkd7C0NzIQn1ZZGJEgCaig5mtAGcSoSS4uCIRCDbce45Z2BwmEMRjrxHfybC8hdGS9JZdMppmD179jq/5o90ds483kN2QspvjZnwaEtHx0wAGAFwFwAM7NsHAM8BcpZUSnaP1DAxsg0jpTJGJzQvr9ZqwSWvP+fGSmXi0olyLZAKYFH3LSWBYoFhZhtDUyFp+MSpDgxTcJ2W5uI9leFf3eg6jkMFh1Q+FG1C/9zFmNntQilGucMGAOyY1TXreA/Rq0L+R4MfRVn3wMMghMwaGBhoLY1XldHg2natUMgxzGxnaMpJhFF/dk51Gw8Fj8zsnDWqlBo4Y9mJkxHzapf/D1WkxVxxGBiCAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDIyOjE1OjIwKzAwOjAwp1BHhgAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QyMjoxNToyMCswMDowMNYN/zoAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 69803683
{'hecke_orbit_code': 157625986991529534, 'n': 1, 'trace_an': 9}
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id: 69803684
{'hecke_orbit_code': 157625986991529534, 'n': 2, 'trace_an': 9}
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id: 69803685
{'hecke_orbit_code': 157625986991529534, 'n': 3, 'trace_an': -2}
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id: 69803686
{'hecke_orbit_code': 157625986991529534, 'n': 4, 'trace_an': 9}
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id: 69803687
{'hecke_orbit_code': 157625986991529534, 'n': 5, 'trace_an': -4}
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id: 69803688
{'hecke_orbit_code': 157625986991529534, 'n': 6, 'trace_an': -2}
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id: 69803689
{'hecke_orbit_code': 157625986991529534, 'n': 7, 'trace_an': 0}
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id: 69803690
{'hecke_orbit_code': 157625986991529534, 'n': 8, 'trace_an': 9}
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id: 69803691
{'hecke_orbit_code': 157625986991529534, 'n': 9, 'trace_an': 13}
-
id: 69803692
{'hecke_orbit_code': 157625986991529534, 'n': 10, 'trace_an': -4}
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id: 69803693
{'hecke_orbit_code': 157625986991529534, 'n': 11, 'trace_an': 8}
-
id: 69803694
{'hecke_orbit_code': 157625986991529534, 'n': 12, 'trace_an': -2}
-
id: 69803695
{'hecke_orbit_code': 157625986991529534, 'n': 13, 'trace_an': -2}
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id: 69803696
{'hecke_orbit_code': 157625986991529534, 'n': 14, 'trace_an': 0}
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id: 69803697
{'hecke_orbit_code': 157625986991529534, 'n': 15, 'trace_an': -2}
-
id: 69803698
{'hecke_orbit_code': 157625986991529534, 'n': 16, 'trace_an': 9}
-
id: 69803699
{'hecke_orbit_code': 157625986991529534, 'n': 17, 'trace_an': -6}
-
id: 69803700
{'hecke_orbit_code': 157625986991529534, 'n': 18, 'trace_an': 13}
-
id: 69803701
{'hecke_orbit_code': 157625986991529534, 'n': 19, 'trace_an': -2}
-
id: 69803702
{'hecke_orbit_code': 157625986991529534, 'n': 20, 'trace_an': -4}
-
id: 69803703
{'hecke_orbit_code': 157625986991529534, 'n': 21, 'trace_an': 0}
-
id: 69803704
{'hecke_orbit_code': 157625986991529534, 'n': 22, 'trace_an': 8}
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id: 69803705
{'hecke_orbit_code': 157625986991529534, 'n': 23, 'trace_an': 0}
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id: 69803706
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