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mf_newforms • Show schema
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{'Nk2': 784, 'analytic_conductor': 2.89109359028129, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'cm_discs': [], 'conrey_index': 18, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [1, -1, 1]], [3, [4, -2, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007336760803377, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '49.4.c.c', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'minimal_twist': '7.4.a.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+\\zeta_{6}q^{2}+(2-2\\zeta_{6})q^{3}+(7-7\\zeta_{6})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '49.4.c', 'trace_display': [1, 2, -16, 0], 'trace_hash': 1356045812664012321, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '2.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '12.260', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 1], [2, -2], [7, -7], [0, -16], [2, 0], [0, 0], [15, 0], [0, 23], [16, -16], [8, -8], [0, -14], [28, 0], [0, 0], [-32, 0], [0, -41], [-54, 54], [-23, 23], [0, 110], [-112, 0], [0, 0], [8, 0], [0, -48], [30, -30], [-131, 131], [0, 28], [100, 0], [0, 0], [-110, 0], [0, -32], [-12, 12], [161, -161], [0, -16], [-54, 0], [0, 0], [161, 0], [0, 246], [-110, 110], [56, -56], [0, -240], [182, 0], [0, 0], [128, 0], [0, -56], [368, -368], [48, -48], [0, -324], [-82, 0], [0, 0], [-131, 0], [0, 108], [196, -196], [162, -162], [0, 100], [-128, 0], [0, 0], [220, 0], [0, -110], [-810, 810], [-224, 224], [0, 488], [-12, 0], [0, 0], [-167, 0], [0, -448], [16, -16], [-244, 244], [0, 378], [-96, 0], [0, 0], [-768, 0], [0, 345], [702, -702], [-246, 246], [0, 262], [770, 0], [0, 0], [56, 0], [0, -440], [-656, 656], [-421, 421], [0, 182], [-1302, 0], [0, 0], [864, 0], [0, 128], [-220, 220], [120, -120], [0, -730], [368, 0], [0, 0], [-336, 0], [0, 24], [324, -324], [1760, -1760], [0, -322], [294, 0], [0, 0], [184, 0], [0, 917]], 'ap': [[0, 1], [2, -2], [0, -16], [0, 0], [8, -8], [28, 0], [-54, 54], [0, 110], [0, -48], [-110, 0], [-12, 12], [0, 246], [182, 0], [128, 0], [0, -324], [162, -162], [-810, 810], [0, 488], [-244, 244], [-768, 0], [702, -702], [0, -440], [-1302, 0], [0, -730], [294, 0], [688, -688], [0, -1388], [0, -244], [-90, 90], [1318, 0], [-1776, 0], [0, 1118], [-2274, 2274], [-210, 0], [0, 2010], [-1112, 1112], [-124, 124], [0, -2008], [2884, 0], [0, -2228], [820, -820], [3892, 0], [0, 5048], [2962, -2962], [3334, 0], [-1860, 1860], [-4268, 0], [-5432, 0], [2046, -2046], [0, 2980], [0, -4458], [4440, 0], [-3302, 3302], [1582, 0], [0, -2354], [3872, -3872], [-180, 180], [0, -2032], [5426, -5426], [842, 0], [3782, -3782], [-4312, 0], [2674, 0], [3768, -3768], [0, -2438], [0, 3186], [0, -8672], [814, 0], [-9344, 9344], [-5180, 0], [-12178, 12178], [0, -440], [9816, -9816], [0, 442], [-3960, 0], [0, -6708], [13350, -13350], [0, 1356], [0, -6222], [-5150, 5150], [2310, 0], [1262, 0], [4488, -4488], [17038, 0], [0, -16200], [0, 8772], [2130, 0], [0, -10534], [-9268, 0], [-9392, 0], [0, 10806], [-4940, 4940], [5216, -5216], [4412, 0], [0, -19060], [12768, 0], [0, 5500], [7338, -7338], [0, 17582], [0, 1618], [16144, 0], [-4654, 4654], [-10078, 10078], [0, 5930], [19048, -19048], [14366, -14366], [-3626, 0], [0, 1062], [10200, -10200], [-25158, 0], [0, -25664], [-19018, 19018], [17334, 0], [-18730, 18730], [-6928, 0], [-16302, 16302], [4718, 0], [21436, -21436], [0, -4458], [-26640, 0], [-7432, 7432], [58, 0], [0, 21516], [-18108, 18108], [0, 10078], [18762, 0], [0, -6810], [0, -4860], [-13636, 0], [0, -2088], [5160, -5160], [-28152, 0], [0, 16808], [21674, 0], [0, -7422], [13790, 0], [6232, -6232], [1766, -1766], [1204, 0], [7050, -7050], [23282, 0], [0, -10142], [9192, -9192], [-46716, 0], [-11240, 11240], [700, 0], [-37492, 0], [-28894, 28894], [0, 2770], [0, -17688], [0, 33566], [-16758, 0], [11468, 0], [0, 50356], [8716, -8716], [7632, 0], [0, 23080], [0, -45110], [16674, 0], [-43832, 43832], [0, 736], [38138, 0], [26224, 0], [0, -18762], [-38394, 38394], [-5388, 5388], [-25472, 25472], [17096, -17096]], 'char_orbit_index': 3, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 9007336760803377, 'hecke_ring_character_values': [[3, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '49.4.c.c', 'level': 49, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 784, 'analytic_conductor': 2.89109359028129, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 3, 'char_orbit_label': 'c', 'char_order': 3, 'char_parity': 1, 'char_values': [49, 3, [3], [2]], 'conrey_index': 18, 'cusp_dim': 20, 'dim': 16, 'eis_dim': 16, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 3], 'hecke_orbit_code': 137506062385, 'hecke_orbit_dims': [2, 2, 2, 2, 8], 'label': '49.4.c', 'level': 49, 'level_is_powerful': True, 'level_is_prime': False, 'level_is_prime_power': True, 'level_is_prime_square': True, 'level_is_square': True, 'level_is_squarefree': False, 'level_primes': [7], 'level_radical': 7, 'mf_dim': 36, 'mf_new_dim': 24, 'num_forms': 5, 'prim_orbit_index': 3, 'relative_dim': 8, 'sturm_bound': 18, 'trace_bound': 3, 'trace_display': [3, 7, 7, 0], 'traces': [16, 3, 7, -33, 7, -28, 0, 54, 11, 14, -11, -28, 28, 0, -158, 19, -21, 145, 49, 56, 0, 12, -249, -168, 67, -28, 70, 0, -136, 390, 147, 277, -35, 84, 0, -550, -389, 98, -742, 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-6538, -3290, 0, 223416, -109180, -14301, 128604, 20398, 4872, 0, -134064, -123124, -1540, -80287, 23520, -46774, 0, 201722, 74676, 24871, -90222, -7665, -67536], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
Hide schema
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id: 40048
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '7.4.a.a', 'target_level': 7, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 40049
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.4.a.b', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 40050
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.4.c.b', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 40051
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '49.4.c.b', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 40052
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.4.c.c', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 40053
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 3, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '49.4.c.c', 'target_level': 49, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 40054
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '63.4.a.b', 'target_level': 63, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 40055
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '112.4.a.f', 'target_level': 112, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 40056
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.a.b', 'target_level': 175, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.j', 'twisting_char_orbit': 10, 'weight': 4}
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id: 40057
{'conductor': 35, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 2, 'target_dim': 2, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '175.4.b.b', 'target_level': 175, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.l', 'twisting_char_orbit': 12, 'weight': 4}
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id: 40058
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '441.4.a.i', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 40059
{'conductor': 21, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.4.e.e', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 40060
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '441.4.e.e', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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id: 40061
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.4.e.h', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 40062
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 5, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '441.4.e.h', 'target_level': 441, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 40063
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '448.4.a.e', 'target_level': 448, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 4}
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id: 40064
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '448.4.a.i', 'target_level': 448, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 4}
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id: 40065
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '784.4.a.g', 'target_level': 784, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 4}
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id: 40066
{'conductor': 77, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '847.4.a.b', 'target_level': 847, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '77.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 40067
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '1008.4.a.c', 'target_level': 1008, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 4}
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id: 40068
{'conductor': 91, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '1183.4.a.b', 'target_level': 1183, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '91.r', 'twisting_char_orbit': 18, 'weight': 4}
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id: 40069
{'conductor': 35, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '1225.4.a.j', 'target_level': 1225, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '35.i', 'twisting_char_orbit': 9, 'weight': 4}
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id: 40070
{'conductor': 105, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1575.4.a.e', 'target_level': 1575, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '105.o', 'twisting_char_orbit': 15, 'weight': 4}
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id: 40071
{'conductor': 119, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 3, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '49.4.c.c', 'source_level': 49, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '2023.4.a.a', 'target_level': 2023, 'twist_class_label': '7.4.a.a', 'twist_class_level': 7, 'twisting_char_label': '119.j', 'twisting_char_orbit': 10, 'weight': 4}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 163750
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 2}
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id: 163751
{'charpoly_factorization': [[[4, -2, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 3}
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id: 163752
{'charpoly_factorization': [[[256, 16, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 5}
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id: 163753
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 7}
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id: 163754
{'charpoly_factorization': [[[64, -8, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 11}
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id: 163755
{'charpoly_factorization': [[[-28, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 13}
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id: 163756
{'charpoly_factorization': [[[2916, 54, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 17}
-
id: 163757
{'charpoly_factorization': [[[12100, -110, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 19}
-
id: 163758
{'charpoly_factorization': [[[2304, 48, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 23}
-
id: 163759
{'charpoly_factorization': [[[110, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 29}
-
id: 163760
{'charpoly_factorization': [[[144, 12, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 31}
-
id: 163761
{'charpoly_factorization': [[[60516, -246, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 37}
-
id: 163762
{'charpoly_factorization': [[[-182, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 41}
-
id: 163763
{'charpoly_factorization': [[[-128, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 43}
-
id: 163764
{'charpoly_factorization': [[[104976, 324, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 47}
-
id: 163765
{'charpoly_factorization': [[[26244, -162, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 53}
-
id: 163766
{'charpoly_factorization': [[[656100, 810, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 59}
-
id: 163767
{'charpoly_factorization': [[[238144, -488, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 61}
-
id: 163768
{'charpoly_factorization': [[[59536, 244, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 67}
-
id: 163769
{'charpoly_factorization': [[[768, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 71}
-
id: 163770
{'charpoly_factorization': [[[492804, -702, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 73}
-
id: 163771
{'charpoly_factorization': [[[193600, 440, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 79}
-
id: 163772
{'charpoly_factorization': [[[1302, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 83}
-
id: 163773
{'charpoly_factorization': [[[532900, 730, 1], 1]], 'hecke_orbit_code': 9007336760803377, 'p': 89}
-
id: 163774
{'charpoly_factorization': [[[-294, 1], 2]], 'hecke_orbit_code': 9007336760803377, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 3, 'hecke_orbit': 3, 'label': '49.4.c.c', 'level': 49, 'portrait': 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6smqHsCSYLvp7TqKZ2+x4lFCLWHNobLt0R0+ylnlx2mmi6XbEnYsbFHox4ipCGKBO1+jaW2x1Rd4EqXs4seh88Ijs8nnFxJ8Gt9XntjjzffDL6c5MCJFicXFOdy5l4yHFo2vPSqJf7Nu9bYPDXJiXPTzC/XWFpzWVqTLK8nrKzHLK0lrHVTBjT4ibcH+q2vvvxjG6Zmf2YwDDsbLn77txoS/1WPv9UAH/a7nFmKadbke06c2n+76n1AnjzXu31h5ZzzXbc2OLUww2q7xsq6x3LbYXldsLqestqJWVlPmV+HIyuCudl1fvlHV7hpT51TC9OcXWxwdtlhYcUwv5xweillsZswOT3kZdf0uOVy8GQNX/ksrAacW3aYXxX0Q0gSTeBpGkHK1ESCBk7MJ3R6sHOjS6MWYowA4dEbaHZsCllZd8BYKbLegzABg2G1HbF1zqU7UAhlEDqkFbjs2DxkvS84cdYh1Q4zLUkzEPguJImgH0rmVyXnVgwLawm+PwQ34dYre9x+lWBDq8bKWotTCz5nl2FhOWFhNeHMKhxZMbz0ymV+5UfX2DzZ4uT8NAurNZZWPZbbgpV1zWo7ZrWTstrRLPckh5cMb7zlJI36tqQbTj78K//oDXu7q2v/8Orrv9Noneqpyca3Giov+vhbG2S++70fJKg3WV9b/rXPfenr//RP/vIxv9bscf2lC9x+ZUSjJphsBqSpIEkFiRak2sEYhQGMAUSKkIajy1P8yp8Jfu3vL3D9xRHN2jSNWpNW3adZd5lsKRZWFPNrDl99KOALDyTs3t7n8ksSVtcGXLE95AffoIkThcDw2YcDFtsBtTTk+DlFr9fk2ktTFjsJ+w647NkuOXQWbr0M2l2ItIPvRMw24OCZGvVajK8SJpqC9S7cfEWXI6d99uzUHDsb8vwR+99ztw85smCYaIasdiI+99U6RijSNOVV1/W57XrD/LrL9buG7NriksQt+oMa+44GzC8LltZSFtcSFlY1J1cFC72I6/as8Es/3GOuNcWJc5MsrNZYXndZbktW2ynr3Zh2L6Xd16wPBAt9SRiHrK5rLtl0yHnTS5svH57rvzQWt98RRb1PzM7M/qvh0vsJNvzctxoyF3z8rWTwj33807zzHbeof/ZvP/dL08HS/3Xi2LzaezjiRFvRHiRctnOR3/zZZa67tM7CyhQr6w1WOwGrbZeVtsNaF9baKWudhNVuwnIbTq0JnNqQ265a5ftfGXHxXIP1XovFCnuttjUrbc1aV9MZaDqhoT9MmGnF7NioAYHvGk4vugjps3NOcfEWw5a5PgtrIc8canLDbkO9tsZzh6dpNiKiyGVmSjMYwhU7hnzk7kku254QhobZCUmcDmgGPs8fH1JzG1y3J+HZoxELKx5bZ3wu3gw7NkUoFXN6GTzXIIRh58aEqaakO/Dp9V06fZfVjmJ1HVbamtV2ynI7Zb4NK8OUHVt7fP+rlrntcofAbXFuucXyWsDyusNqR7DW1qx3Y9a6KWtdw0oP5ruKhfWEmy8/x3t/dpnLtgestSc5vTDJ0bMTbNw6md52/eSvvfu3/9G//dHv+kz6qju+51sNnfMef6sAfvjQfmr1oHbs+Kkdzz67753P7j/zq48+exrfVRgDawPJQl+y0I156a4FfuNnV7j2kjpLa5MsrzdY6wSsdlzWOg5rHVjvata7CevdhNWOYaEtONszIHq87eVt3nST5pLNAVFUZ60dsN7zaHcVaz1Bty8YhoYoMaQpKGnwXaj5hsmWYW46xnGHHDkXsfewj04avOHmCMdd54l9E1y0Gb74aMLLr/ZZbA8IHEWSxkxPQRK7OG7Cykqdl13f4YsPNbl4Mzx+KMSlzutv0iRiwN4jKcdOBzjSY+OUw1RDUPMFnidQAhINUWwYRtDtG9Z7mm5fs97XrPQMgzRl57Y+b7qlzdtuj0A3WVmfYHG1xkrbZbXjsNaG9W5Ku5ew3k1Z72lWe4JzXcViJ+HGPQu872cXuWpnjZX2BGudBu2ej9YAEUO9i0Ts+Nfbdl72Fxvmtp2MosFgz57LvtVQKh5/awB+8OAhGhNz3srCwZ84fPjg+++5/xmxstaT3b5hEBnC2NAPBesDweJAMt+NuXn3Iu/9qRWuvzRgeX2SlfUGax2f9a7HWtdhvStY7xo6vZT1bkK7p1nrGRa7gnNtzdRkn+94aZdbL0/YuVHRqrl0ugG+KwFFlEi0FmgD/SEgNFPNIYfOGLSJuOvxBmG/xqVbPW67pk+s17n3yUmu2+1yaL5He63FLdf0+eoTPhunDftOGP7hWzvsO+6zcVrylScVt12hWO13OHpqmuv2RNy7d0AS1rn1So9d24cMkh53PqEgFRw57dCqOzgC+gOJNoJUG+IEkBrH07R7hkYzZvvmkNuv6PMdNyTMNAIWVidYWa+x1rHnZq0jaPeg3U1o95JMlhhWe5L5nmCpm3DLZUv82k8tce0lPstrE7R7dTp9n/7AZRgpBqFitSOJdU1v3naVueSS3T93/XWXffDM2cXo4osv/VZDCvhbAvA0jWUc99/y/BOfu3Rhlfc9v/dxd2lN0h1o+oOU/jBlEBr6oaE7FLSHGcjbCbdesch7fmqJG3Z5rHcmWFpr0u4FrHc91nsO7a6i3Yduz9DpJ3R6Kb2Bpt03LPUESz2I05Brdw/YNJ3S6xveeEvIRZs0SSpxpCGK4Z5nAk4uBmyeSnjuSAC6zuXbFNdfpvGDPk8c6rO03OCqixq0Jtd46FmXG3cHrPTXWVtrsWmT4dF9ih9+TY/H9jlsm3NZ7rVZW53m+iv6PPRcynRtkqsu7bHYbvPoC5PUnAYvvcywZ8cQZI9njgnmpmMWlmLufcZlGCukhFQbLtoc8R23RHR7ii1Tmut3QxTVWW3XWW37rPdcOn1Fuyfp9KDTT+n0Urr9lE5fs943rA4kZ9qC9jDktj1L/NufXOPGPT4LqxO0uzW6/YDuwKU/VPQHDt2hoNuXrHdTFpZDbr/t5rgXqn/xru//zsPNZu1znhfobzW2vuVBZrfTY329/6Nfe+jhf79ZPTO9dCbC9xwmmhIhJFKAlCCltocwSAFKaBzp8NjBjfzCHzm87bZVfuA1q1y8NWJ+pYXv1aj5HnXfpVFz6NYkzYHLRMOhP0zpDVI2hppBaOgOfVaXAk6fMkSJ5sx8gu8bQOApgyMF/YFC4JL0HV5ykWDXFsOOrX3CtMuXHlPsPzzF627wuf6KNT78JYMn6ly0tc+zDym2TipmW30CVSOKXRa70Agctm0UPL0/4vo9NV553TIf+vwAz23y2psNrt/na49GfPGRBi8cq3HJljoXbU7ZMBVx8WzM1RelKKVxlAEMdd9nw6RPFLt0+x7PHXJtBneg6A0lvQH0hoZe33737iClNzB0Bob1ASz1FQtrhnqrzc+/cYnvuS3k2ksanFtu0u7V6PY9un2P3kDRGyr6Q0lvIOgODL2hxiD40lcfdU0w9e/f9OqJ1UbtVf80Cgcf8vza/7oA7/cHIMRPPvXoI++58847p3/0dSeZmZgjTRWpNmgtAAchBFKmKAlSaKQ0KGlwlMGTkmcPbeCpgw0Onl3krbf3uP3KIZPNFqvtOo1OQGvg0es7dLOLPRg69EOHYWgYRpooNsSxIUntESUeRoNUAtcRBJ5gsimYasKmWc22jX1mp9p8+Qm47ykXqSd43Q0uL7m8ywMvxETDFre9RNAeDFhcaXDrHs3sZJ+a4zNMFEudGKUFL9njUG+GPHkg4BXXT3DLtV2ePKDATHDDlR5//82rfPXpiK881mDfyYAdGxSbpmtMNetMNKHmg+sYlARtYN8xQZoK4kQQJRDG2O8YpgxCzTDU9IeafqjpDaATwlJPstiFUA+547pV3nJ7mx96rSZJWswvNyxr9z16Q4fewKE3kPSGkv5Q0B8YesOUwTClP9SsdDRnTs/z0IN3Ty+uNP7fl954mzMY9P+oVqv/rwfwKFxFyeTvH97/0HtOHLpv7todIXEyiZQQ+ClJCkZLQCCEXYotm4uCuRxlcJWm5gqW+zU+evc2vvZUh5dfvc677ljn6ot7zEzWWVmv0x1Y7WiBrewRCcJYEieCJLFLva3dskGl40DgQb2mmW7GbJ3rk9Dj0JmYj90bcPRUg0m/xo1XOtx6TYdHD7a56+EWN+8O2LG5z0fuFijh02rGrPdCtAElYEOrT6froZMab3n5Ih/9Yp1dCwFvurlPFK9w794Z4jTgpivneNONHXZvb/O1J/s8e6rOM8c8tk1LpluCui/wXHsTSgFCGLQBrQ1xkt2ssY1fhpFmGMEggu5QsBYKVrsgnCHXXbbOu75jnZdfmTLTCljvNFjv1uj2fXpDl/7AoT9UJbCHgn5oGGTgHgw1YWTAwHTN5asPhTy296650wvxe77jNS8z8wtrf7xp49T/GgD/f3/nw3SV4Vfe/9kfe8MNnffNqAOz22aHmBmHNHUQAnxXk/o2uANpGVwoC26Z4iiBozSO0niOwXcMNUewNlSstKf4+D0NHnmux23XrvOu165z3a42M2mNJPHpDwN6A5dB6BDFijiRJKkk1QJtBAKDFAbf09SDBN+L8NyQMyshn39ccvi0x7HTUyjts2uzxxUXK264vIPyl9h7pMnWyTpXXQKbNqyx2mlx9VZJog1ffswn7EsmGwmvv2nI5+6NOTnf5LJLXc6tD3n+qMv2jVNce/ESDzzb5aHnBWHkcfnF01y+3efybV2OnFvl8Bl4bH+dQ0cb1B2B70gaviFwrZQT2BxAqg1JClECUSrohYLOUNCJIdIJ2gx56e4O7/qODi+/OmXztM9wOMFKO6Db8+kNvQLY/aGiHwoGQ8kgtH2jgzC1K8MwZZiZANqAIwzHzxmieIWnjn99brFz/H3ven2ctBd/+8OHD01zw+0/9ncX4J/5q0/xrl+4m/f+k1t+6HOPHv+d/c8/M/mL7+px8dYJ1ruBBVxsLcGMSBECpJQoKVBKWXA7FuSuI/AcjecafNdQ91ImA0E3dFnrTPHJ+1rc/cyQjVN93vmqNpdvHzIc9LjqYsP2TYowdjM5JDE5uKXGdVJOLBiOzQvWB5rPPFDnzPIUJnKZChRbZhx2bnK4ZCtctauDlsv8wecarK5OcPPlDlftavO1ZwQicZmbkjTqCf3YQxoJRqIcj/ZQsLAquNLUedUNXR58ssaWWY+br5rm7715mQ9+sctjBxr0hi4r600u3lLjss19btrT5Xtf0eXs6iqfecBnpe9z4pzLmTMerhJIKREItDGkGmJtSBPN1EzMNVf2CcOYy7eHvONVIXMTiummTxwHnFsK6A88+qFd5QYZsAehZBAKBqFgGGJXggzcw1AziAyDUBPGNkMbZfJoue/iDs7RSJ+fXTx95e+ca18bv/yVT/2XT3zyE7zj7e/4uwfw7qk/oLHtefHlyZu/7+nnF/5QDObrTx1t8tSRdd50UxuBpj/0GUoHhGUikQNcgJIyY+7s2bFA9ByB52oC11CLDfXIMBGkTNUE/UjSjRocO93gvf9lGnSCSBJuuKbPxZsikgS00RhjkzhSCKQSOK7HgZMe+w4HNAKHpieZrQs2zEjmph22bFDs3Jxy2c51UrHCf/h0ixMnJ7l5j8vlF6UMki4P7/WZrLnMTBgmmxH1mpVCWkvaQ8Vqz7DSTmn3arzsqnUe39dn/0nFZCvgpisn+am3rPC7fwlPHm7QGxjWuw4Lqy02zdaZmxqyc2bI//l9fVr1Ns8egwOnJK5rUMoghAYsSxgDSQIXbUq57eqENHaJEx9j6gwjl/llj0FoV7RhpAr5NogEw1AyjASDCMJMy4eRJox0JnkMg0z6DCPBIIZBnMmfYcpbrl/j+l2Gx59pT57rnPvDxw5cl/zvv3/Jx//J//0x89u/+P1/dwD+nz/0J/zEv9uu/tnbh2/b2HzuwxfNrAZvvE2wfmfE+mpC4EcYo0AYpPSQ0owclrkNrmNro11H4LmK0JWEkcaPUsLYUIs1YayJIkMrgTDWBasMY0mY+sRpwP7DDZ7ZD6kx6OxGUgJcCZ6yNR9NH67aDK0aTDQkU03FzKTD3DTs2BSyecM6sVnlP3x6giNHJ7j+EsUl2yS7tq3x9ecTFlYmuOFiyVRLE3gDfOljlCBJJcIYkjRirRewsOJy/eU1XrKnywNPBmycEtSDJtfv0fz821b4nb/UPH+myXpPs95VLK05zE42mGrVmGpN0KrHbGjE7Lw+wncTXCdBqRQp7BposDdVHCsWlxziRBEniihWhHH2HEnCWBJGkmEkCSNhA9RIEEbGgjrWhGH2HFV0fVyCuxcJOrFkJQSSkE0zPZaGLnc+Lth37Eh9Zsvgw7/5v/X0P/3p2U+/63UfSm+5/ce//QH+f7znTzi84KltM0ff8bE7Vz50+fa9wa17JNddERI0IrZvjPA9g0ChtSlcEuuUaJR0cJXBVQrXMTiOxHOFvQiuIPQUUWyBHseGKEmtK5JUjhSS1JCmmlRj9bamALcQoKTt5nRd8B1B4AvqvqRRV0zUJVMTgrnphJ2b+jQb63z6wYh7906zvtzimh2KnZtddm8fkop1vvxYnYbrsGFK0awP2XsEXjjqcPV2Qz9UXLs75ppdhvlzKUtrHoNhnTfc2OX+ZwccOqNo1CS+1+LqSzT/9sdWuOf5AZ+7Z5aVjmHnXMpa22GypZhouDTrLo2aIfA1vqfxnRRHmcxWtdfAGGzCSgsSLW3tTiKIE0mUCOJYEsZWWkSxIIoNUQRhnBIVpGHdpmGcB65Y5o4zcMeCdizpxBBGIU7S5+BR+HA34VMP9tg0I9giHw+u3nrln84fHvz49Zf5n1g79bvp1PZ/+O0N8Ft3BbIziH/ga4+e/c8PPHEu6LKNmy5b5qbdMV98pMWGVsLxMz3eeUefyZZG9bUFtkpRysNRGtfVOI6D6yg817JN5EpCTxDFwl6cWBEnEMXSOghJafslqSZNrbuQmswpyUS+tSBBSYHjCDxH4HuSwJc0aoJW3TDZ1GycDtkw1SUx63z8fskHvzjDXBBwzQ7Bjs0uF23R7Ny8xqcfNqyuBly+STHVgmY9ZuG4ZHHNx7sYwliwYUIyOQmHjhnWOpr55YDdFwW85oYun78vYKYJvueh5CRX7xL89JsWceUin31gihfOBGzsxMxNJkw0FM2aol6T1HwH3wPfBcexDpPM5F0BcuyNnWqyIjUyoEOcGqIE4ji1pBBrouw5jDVxDGFsSxfCGMvciWAQCXqJYD0W9GJDMgyZCNp8/xtXeNsresw0JTvnznLdbs0NuwJ6/WPBmbPOH+49fLmTpMGfY3nm2xPgD93/BdJU/9gjj+37jWj9TGvrtORMW/HVJ7fw+QcTEDFEEfc/U+Pc2hr/8HsHTLUShr7NODoqxXNc3NjFdVJ81yGMlQV4xtyWcYRlooyVkgTiFNLUOgla24BLa5P3cGbgtgBXSmRBqwVI4EM90DRrCZPNhA2TA2an1nlwf8Sf3lXjwLFJLppw2bUJtm3y2LYRLtvRoZ90eHRfi5py2TClmGzCZDNkaiLB8xyEsDfXIPRY7cSs9w3tXsLimseOTU1uuXyRux7rc+BMi7of4yoPISbYtVXxI69d5qWXLfKndzV59LlJVnoOc62EyXpCPZDUAoXvCnxX4ro2VlGKzD60KLdVlsauXhnQk1Rnq5slhTjRJKkFdxJDlJjyiK0rM0wEw0TQjwTdRNBJYDhIMMmAmXqXn3v7Cv/nD/Vo1hRJ5HDDpZpuv8bSWouVdpNjZ9ZbQ3PuP8xuutT7xCc/+8F3vP27vv0AbnQHhPzJe7/6uff0O/MzEw2Xdj9hNtYIJGuBSzdxiQKf9dDjNz7mse/IOm95RY9XXddl42xEtxswCH3cyMN3XULXwY+tvRfFtlYkjiVRYpfdOMk87ZTM+iNjbok2lOC2ScqMucFRNmHiuYbA09SChGaQMNUK2TzbYaHd5/2fcfny49OsrjW4dINgx5xg65zHtjnBxVuGON46H73X4eipBns2SqaakolGipQhZ5YMvmOzssYIothh51yHx0jp9BVrHcPCao092wK+91VtPvE1j+MLPq4TI4SLNg3iRHLDxWvs/MEOX36yz0e+PM0TxxtsnRLMNlIaQUrgCXxX4LkS1xE4Chs4S1HUZBjsTaYN1mlJLeALkKdW0tlVEKLU1rpEiSBMIEwEgwR6iaQbwyDWpP2QbbMdXnn9Ot/9yh5vfKnGEXVW13zi2COMPfpDn07PWrS9gcORM2dmpL/5fd/z3W9VZ851/2jr5ua3D8CPn1nj7JL6ew8+8qX3qN4Dc1MTMeFxBcbgOdDyNFIIfCnoJYqerNGOPD769YB7nu1y/eVdfvC1A77z5g6zEyH9YcAgA3mcOISxQ5xYoCeJIk4lSSKJU0GSSNJUkGpRam0tKFSJqTgzyroOrtJ4rsb3Ump+QrMWMjvZYxAP+Npew8e+PsGjz00y5blcvdWweVqyccZjywbJto0Rl2xd49njAz5z/wYmlMOGCUGrIWjVY9r9lC8+HND0DEJYYA1Ch7fcFvKFR2xNTLunWVxz2DbX5K2393h0f5d9hzwafoKSwoJc1xlGVuv/yGva7Nm8yEfv6fDQC5OcXKuxqSWYCAx1TxM4Gs8FRwmb/ZU5k0NefqQzqaZ1ucIlGdAtQUCcCuI0y4qmgkFij24KYaRJoohGrcdbX7fGD762w/WXpWycchgOG3R6HlHsEccuYewwDD2i2MKtFmjWuiH3P/X43O23uu+55uo3amOWPyDEN7+x+ZsK8Ha7w+LSGpN18aOf+fJ9/+4/feT+mfXeMr4T0JA+rrRuhe9YpDkCPAV+Iugrl4GnON3xOftInUf29vnE1V3ecUef19+2zvSERxRZNohiC/Q4tq5AkiqSNEvYpCXAtcmYW5c1ZUKYLKjMsqGOxnNTfC+m5kc0awNSBnz1Scl/uXuS545NIGKfi6YMmycNs5OKDdMem2YlWzbE7NjU4dRSl9/7XIMkrLFtm2Cy6dBqQKseI9yIzqDBZNMghMAYiBPJtK9IdEI39uj2U9Y6ijNLNa68pMnPfNc67/tznxNLDRwVZzeGQ5IEDCPJphmfGy7tcM0lPZ4/cYaPfb3GXU9McrZdo+Ermh40XIPnGFwFjrTpfCFGq+s0YLS96VItSA0kqbD+eSqIUpskGqSCQQqDxJAkMTqOmAkGvOGOdd55R4eXX50wWXOIkjprbZ8o9kgShyh2iPLnWJFqa+lesrXHlbsWMWKIWe3MnTw08e/mtt6W9Nqn/0SLFq3WN29+4jcV4GkyYPvWqe9+6OEnfveer3+tJaMeIpm0fnNgIJMEnmMvtpIGJwVPGmqpoJ8K+tJjmDoshjU++2iDe5/vc9NXevyjt3e5YkeXuUlFq+EQRR5R4pIkJcjTHOBaoo20CSMjivS7ZW6NUsZmQp0E30twVURnELPUifntTwccW5ziyX2TGO0xUxPMzRpmJwQzLcXMpMvGGcmmmYStG/rMTK7x5ac0T7wwyTXbBFNNSbMuadU1jVqEcEN838FR9u8bA2kqGYQOg2FMogXdgabbM6x2XOZXWtx6WY9brlzno18JqK0qHBlbQBqHJPWIYskgdJmdDHjprh4vvbTHY688y4klyZ/eNcniep3TKz6ekjRcgZfLMGkDz4LIc6mCZfLECGINiRaEKQwTiLSBNIEkRqqQLVMDrtlpr8eNV6S0ag5JYmvEw4J43MKOjBObvIsTmy0GG9D7ziQwwfyCYN+R+2Yuujz43V17rl+LwsFnvpmY/KYB/L5HDnDCn1Odhz9y6YnDR1u+7LFt1mFyYHVd5ZyidFbrIUVWTwJ+AkFqaCjBIJX0HZ9h6rIS1bjriRYPvjCk4Yf8+BvbbJ9J2LllwK1XdXGEoll3QGQA1wqjba20MRXmxiCkQQnrmRsSkAnPH5M8vt/h8482ef5kkyip03QUG2qG6YZhqm6sD95ymJ5wmJkUbJpO2LJhwOYNa9z7XMgffH6OzZMOG1rQaihaDUGznlDzQx48qBhGDm7DngBjBFEiCRzFdXsGPLJ30hY+DVLWOy7L6z4Ly1P8zJsWOL28wiNPb8CVgIjRkDGjSxhJegOHqWbAZKvBLXv6vPKaPj/46iX2n9J84dGAR/fXOHi0QSIcwlDRjxVK2NKH0cAzywkYTaINRmtckTLhRQTE3HJ9j4s3D9k2G/Ou14fUPEmz5hJGddpdz4I6O5IM1FY6ZqUQlXKIfAXrDlySVNDpuxw/3eWJQ19v7dp14tKf/ol3qaj7fOo1r/rbA/Dnn3+BPZds8O579LGfeOjp+Df27l1g2pfUA5tVs4VMFMFNqsFRFvhOCq4SJMrgpeCnGdBTwTCFoesyTF36aY1uN+XffXQKk8Rs3DDkyh1DZiYS3vGaATvmIuJYZHpbQoW5EXnKXyOk4JP31Hj2SAPhOJw4W+fMQp2gppjwBZMNQyvQtAJo1gQTdUWrqZhqOsxMwuxkwsaZIVvnOqRmnU/e32LQa7B7m6FVVzTrkmZN0wwSXDfiy48EhH2JOwcyA1OcSBo1xRtuGnDfU5peKOkNUjp9h/Wuw/xKnSsubvKOl3d48vk6J1abKKmBONPLLnFq3aRhJOkNHdo9j2atTqMWcsW2ITdfNuTUYpvj59Zx3JRnjjp84ut1hFIW3EKOXkSjAY0xhiRK2bkx4Z2vGTDbSrlsp2HjDKSJSxg1SRLbDZTEDnHqkKQlqJO0rO/JgZ2kogS4JmvUsK5XfyjxfcnuDee4/rItv3H88GN97V7xwcOHDkSX7v7v7wz6pgD83NnTrK8t75k/c/r9B559QhJDrMBzBAJJ4pQ2nU20GKuTVRbUZIVBrrbBjZ9Cog31VFh/VgvCVBJqSaRdYg1LvRZff1ZjSPmrR2OESO1FMtmdRGaWWC8QIZStL1eKJHaQ2sF1JE0fLt5gaLiauq+p+1D3BY2apFlTtOq2Nn2qBTMTCRumQrZs6JKyxm9/KuCBvXPsmoGpesbedUmzllCvRTTqA2q1Or6SKJlpcKwciGOX4UAwCFO6oaI31HQH2rbMNTxOL0zwsitDfv77Fvj3n3A4ue4jhMaYGJ0a4sQliiXD0KU3UDQHDo3Ao14LqPt1Aj+mWYu4YXeE58bcuDvhXXf0cVRS1NYLYUZFeSbptLa1+L6rAI9h6LCy6mR1O3nMY+OeNMnjHxvsp0kJ6BLcYjTwTwWJJrN1BZ4LUtR44MHn5UW7J94/NxfeH0Xhc98MbP53A/zw8x9gamq5duTwwtt6K2fFzs0+/SEkiSHVVu/m9pP9grktZQGfBzX295VnLTLwW7Cn2UlJjP1dpCWJkaTaIdY+aWZ7VR9FllKAI4TNVCoIaobAMQQqxXdt0Bt4hpovqHmSek1SDxwL8IZgsqmZbiXMTIbMTffYMrfCH3xe85G7NrJ9UjHb1LQaimZd0ahDvZbSrMWcW9EcOecTeFaSQV7pJxhGDhdv0myaHdIZegyGJmNxyXrXoVkLaNYnedcdixw9N88ffmYrjnQwaFKdkmhjHaVIMYhsUVQ/kNSHDjXfpeantLs2xvDcFNdJcd0UR9pGCSltOl9khy1dsRVAFuSCts6qLHUW12TxTaptrJMH9UkqSbQN7pNE2gkHBchFkVhK8+kHaXZ9kzKoXes6dLoxLxx/XGzavvy2LTu2HfnN3/vI4J/97A9/awF+5yMbPZ2s/UtXn/yXGye7stufQCkII5MtVZokMTjaAt0CvAS8/TmFZ51WWT6zrkbZv6yUs16uyJ7zC1Q+bCbPBlaO1DiSQvO7SuA6xvrGjiDwJYEnqfmKWqBo1iTNumGikTLZTJhuhcxO9dmxcYVHD4Z89J4tTAU+G5uaVl1YcNckjUDTCBKa9ZBHD8Az++tcusFkurdMmw9CxY2XGXbvGPDYc5NFfXVv4GQgd6kHNWrBJN//ilWeObjII/s2gVFondpy2MSQxKaoJxmEDvWhoRYoAk/jey6+l+I7GsdJcR1bYqyUtluwSFsajDCIsn6zEpzbEmKdO1I6Z2GJzhg5lx5p8b4K5FFQ5yRVkFWS2ZGJrWvp9jTH5ttyx86Tv3T9jklvZnLq1/4ZRN8ygEdhX/YHw1/+wAc/8k+fPtjxrttTQ0nLhHmGMEmsvk61tgDPDkeZDMQiSzaI8n0GcF2AO9fuBp1l4nI9b4ypzEEZXXHzVHWe0FEyy1gqcIuiLZv98z1F4CtqvqBeEzRrhlY9ZaKRMNkMmZkYsGXDGo8cGPDLH9rIydOTXDKrmaxDq6Zo1BSNABpBSi2I8dwh7aFBSYWrDFKWnywHRpx4tGox/UTTz+qs+8OUbl/SrinqXZ/Ab3LRpph/+xNt/s2HJQ/v24hBoY0mTTVJmhAlmihWthHYl9RCReBJfM/gewrf0biu9fsdZSzAVVbvk8kUIcx5Dbo6i2O0ERidAz3PL5R5BsvoFBIkZ2gL8PLnSWpJLMkILU5tMilONFFkb9rtcx5esu4dOb76L/a8+U1ur9f/141G/b85nf/fDPBw2EHr+NdOHr73nzTU6WDX1hZhZPWU51q0KQmJEhUdlrO4rrB5ztYmKwgyBagLls4YvDzhZCxTyO0K/+Qp+DywtBLF1pNbuyyvJXcdie9JPFcR+HYkQ803NAJNs57SqsdMNCOmWwO2bFjnkf19/s0HZzlwcpqd09ZhadYkjbq07F0z1IOUehATpxF/9pUmUilcaVCitAm1yZdvlx953Rp3PhHRjXz6GcB7A0W3p2j7DoHn47stLtue8Kt/f4Vf/KDgoec2oo0k1TatHie20CyMNGFgy119XxC4At+zmU3PMUXG1lEaqUzWAmhso0QO8DLlmYE8c1p0CXZ7PWR2newKmuZSJCMonQFa54SV5qUBZTIpzcoE8s9vANeRnJz3OXTqaDDQX//f3/ZdrxVra51fmJpq/c8FeG/tAMaYW9qLD9c2z3Rp1a0/mxfw5KCyGTFwEkGqcl0t0KnJwFwCXWfyJTVg8p/ltRNG2DqKKrgv8LmqNeTWa6csplK2oMoCXOK60tZveILAtzNP6n5Ko2bB3WpETLYGbJhs8+j+Pr/8gWmePzHLtinBTKMiTQKHRmDrV2pBQs2PcN2QMytTuEqgpM5suTLITFNJkig2T9nkSScOGITGNhEMU7pDSa2vCDwXzw1wnQku35bwq39viX/1x/DIC3Ok2krAODXESZoxuSb0NUEkGXqqkGCuC65D1uonbS5AkskUENlzFeM5zk0uWzTZ589kYQbePK4oVttiFc5LJShW5aSyiueFcNXiuN7AFn11eilLX3m8tuOiS26prn7/UwD+h3/6Bf7jX9TqP/Hq3/LmJtYJVIPVjqbbdxmGdhcyqSRCgkoyoCt796pU4KQCnTkraQb0AshVGZK/LkBtviG4oUxJ51WCts1NZGnrsp7cyhMIXPA9TS0w1Hyrn+u1mFY9YrIxYHaqzROHhvziH02x98QGtkwqNjQ0EzVBM5DUA0W9JqgF9uawqf6IR/YJekOPQJHdZFaD500I1iZzaASKW6/q8ujzLfpx2Q7WHyi6vsL3FJ7rZfp5kiu2a379pxZ59+/DQ/vmiLUk1jprli57MENP4nvasndWm+JmN7c9yGRKKeNkluW9EMipxDn5NdDFCiuKlXZUUlJWcebkVRgOGcCTssgrTOwQo97QsNSVtJdWmX//R717/vx76ycPfba/Y/ffvCjrbwzw3vpJ6hPbJz/wJ5/4vX/xu81XXLRpkb/3xihbfrOiHqEQwtabxFKgUlApONJag0VUrUE7Vnub7A43OWtXAJ1XARZaG/uiKksQ9m8LmYE7KzJSBcBBZRWDrkMmpTSBlxVY+Sm1TF40ayETzQFTzQ5PHw75xT+a4pnjc2yadNhQ10zUoBEIGjVFvaaoF+ydEvgJzfqQe5/xWG8HTE2VafIcLDrTp3GqmJtR3PGSHvc+rm0XTaQrIJcEriRwHVzHw3FqSKm5YrvhPT+1yLt/3/DQgTli7RBnFYC27NUyuR/LorrQcySOkxVhSYFy8nND8fnymzCXKiKvSqNMCOXkkjN6Tj56BPDV1TiTodUVOy2ZPCmKuQxhZOiHsNSVrMYRP/HGRV55rXnFYw8e++OJrd/3s3tfOLF+zZU7/8cC/PCxs7ju0rvj3okf6CwP+cQLm3jz7cfZPBHS7Xu22MnY5Tifa6KUZW67NGVOiMN5S1qhsXUF3C/G3BnS84xcob1lXkFX6u68YtBRtkzAdQyuaxuLA08TeCm1IKEexDSCkGZ9yPREmycPhvzL35/l6aMbmZt0maunTNRNBu6MvQNJzbfsH/gJdT8i0SHdyEcoiZszeKHBM82qswKx2KXhDW25QBQwlYN8mNL3LIP7nsR1HFwn34DWcPVFhvf97AL//D9rHtq/kVg7hKkgSnXG4oIg1viuwXNt76qTxR2OsgaAkjI7P1lXfv5cKcwqbsxqrGMYi4VMcc108d5KTZ3mK3IWW6U5yK39m2Q3ZZxAlNpqxXYIWzZ0+cFXezx7EI6cOfMDt9efPhLH8b/6H8rgZ86cYcuWLTvf/3t/dM2xo/Nsn3PxA4NJmgxDFxBIaaN1jLQsLoWVJVKQZAyuNfbL63EdV7JEDvbxepLS6jYla1eDymJQkO3QUVkw5TjGdgZlRUh59WDgpplujqkFIVOtPhONLo/sS/iFP5jlqaMb2TDhsKGWMhEYmhm4a4G1E3Nw1/yUwEtoNSL2HTfc82QDT0pcpbMgrlz08+U7ThWJdnjVDTGXXtLjyMkaG+owjIw9wtRm+lyJ6ygcx0VlM2GEMFy1E379p5f5V7+vuf/5DQzjGmEqiRJDPavh9l0syJ189dJFb6tUabHCKSkqABcVkFeWyfNAbkqAj4A9J6cywadHDAUKeWpBbgNPnXklDdfg4/PsoSYLKz6aJc6cePqa17/lx3fOz589sWnTlm8+wE+eOkdQb170yCOP/ZaJ+9+tRMrcjM+2TYbF5a3oNM4wZ6N0sIygCmBboGtjA8y0iMZNUaNQBXU1mDyPQSy3ZAw+Bm5hkCq3BcsBQW7G3J5jO4R8V+N7CYFne0LrQcj0RJ+1bp/7noNf/y+bePbwLLMZuCdrhmZN0AhE4ZVb50Vb9vYswGt+SJSmDAcBgbI3mRSVpZ88WyiyQNOxWt4JCSPDIBYVgGs8L8VzHVxX4iiFkm4BcARce7Hg1392jX/35wkP7Z/hbLvFsCGZTA3NxBBkEwd812Tef+6kmIK9c6mSA7z4vNmHFsU5L8+/yS5KubKaQrLoKvALMjNUS3O1NpknXrorxtjKx7kmzDSaPLXPw3UFWg+pn+l89wvPPp5ec/VV//vayvzxqZlN31yAt9dOEw2CmxfOHnxbd+0oW+Y8HAU1zyCEIoo0jmP7KS3wNFJL0kzjpdqgVeadqoq9pEUWTNoEzojWO4+1R1VhfhHsuIecvU0mT0xWNWiZ23bh62zMRFqA2/cycE/3WFob8J4/q/OZhzew3Jtiw4RkQ5CBO7C6u54FljVfUvdNxuBWewd+BETc/bTHWuwx4zNSj40YXaHS1DY/tHyH11zf55EDEd3YZyJr7B1GGi+0teqeYwHuKIOSLkLaBA0GLt8u+ff/qMMXHhnwax/YyOnlKQaTDpOeoJlo6gn4sbVvPWUHGrl5oClFEQTnz9VAvXpjClH0ioxIlbxTyFRZvPieJcjtdaZiA5dsnut3mclJjObMUkTg2d3mlp8+QK0x/TZk8GfDweD4N5XBo6iD6zZ3L5z62j+ecB7h0h0GrW2dsuMYfDe1EXkWhUtpMFogtUFpSSrLxoOSufMsmTlfkiAKS2oU4KZklOxZCl343dbTtZLE2mAW2I6y4HadFM9N8dyEwIvxvZhmbYDj9Ln3mZQ//mKLzz8wR6RbzLUEs4GVJdYCzH1ylR0iY+4qe8c4TsiDL0zSjxw2102WMRxn8FyaSeJEEbiKW64YkGgL8EEsGOZuSGRHrrlObnGqDIg2+2jBJpidFPzAq3s0/bN84IsD7nthhvm4Rj+QtBJDwzEW5E4WhyiTxSUmA3lGDEJkcUyl3U2UMU7lSoxIlgLgVYLKAF1kmsfYPJepaYXQhLCsPghtvqSnLKaiWPPnn3uKxuzF//jt3/nypzrd/qFW868fCffXAjwdHuXPP30PE63JLWvLh1/ZMItcvKVBu+faDyRBCYPMAG4XK5v5UsWXyTNgZVaslCVl4EXxXJUkox6oBbcZkSVCmMLPzWWJyiZf5cztKluL4bsxnhcTuBH1+hDP6/Nf7nJ475/McWRpGtcP2NQUTPspLd/Q8KGRddjXfJvtDLKEkK1fSbOVwMqT5U5KL/LwlMKTpggw869hKMsL8nqNKHGpuUM2TQ5Y7zcZxCIby2BjBddNM5tPZXansgAfCVxt5eN3v7zHjVcu8et/OuQjX97AatKg77s0XEnLsTU4vmMbTfJmCCdP+mQrnyykSpkAymz8XBgW6C6YfIzRqxJTV5i8AHzFgbGxlyimHEhhs5zD2BR9rOsDweTkOgz2v/Lofrb0euuHnnzuJDdcveO/D+Bap/zwO2+86NyJA3/w0H0HaNVr+F7ElErQ2USoyj2dMZQoQKu1rrC1KNO+2e+NGQW6BXal1HUE3CWDiyz7Vupum3bOx02UzJ1mIE/wHCtJfC/EdwccX0j4wy80+Mv7Zzi6MEWr7jIdwJSf0vRNlnrPwS0zcMsiKRRk2tv37I3TaoR8+kGHQydqBNl4uaJdjBLlxRgHY3V4nDhcvhPefGOXP/7SDL26Qysb0eBHWdygNI4jrfuhqIDcrdCqXRV2zEp+4Yf7XHPxaX7/89McnZ9gNanRdx0aSlDPgO5JY2+cTBaoCknkwboQtsw3lyv2K1Qat8dAbsZkpr7A83n+eeGxU2ggkcnR/AaIU0E99PjUlw7iNK78gyuvuO2NUafz10qVbwjwdjfBqSkef+qhbd3VR3ZdftFzNIM6huzCpIo0VbYGO5cYiOJ9FdjVwh0zAm5RWdpGgZ3fPEJUTqgogW2fzegcFZUBXOUFRont3HESfD/Ec0K6acT7P+7xgS9s4szKJFrVmJ5QTHuGCU9Tz5i7XqTvZVankkmTzDsvwO3Z7GUYRxw67dOLfKb8zMXJk065K1FZoYqalNih1XC4eFuE8od0oyYDT1CLrTfsZfLKzSSKk7seQr1I8KrYMNHnZ767z9teNc8HvtDhDz85w/KgwcAJCBxF3RHUlMFPjGVzaaWKI8vyhnxVPI/JK9civ2GLa1YB9/lAHwX0KJuLkvWzFSDNOoyGWU3LYt9waOksN934+K7LLxbbXnrNbceNiUdv8r8JwKPBKajVN0Sp9/Ef/7+PubddVecHX9Xm9qsSAtfLGkld2y6mVda9XmXoCtAztq8CW1fYunqDXJC5Kfspc2ALUdXdWZWcSjMGz8ZOuDGBF+G5Ee1hxIPPSv7LXS0+ef8Mw7SJ53nMeIJJT9PwDHXfUPdKcAe+Lcj3M2liE0OZM5EB3HNt5vPYOcN9T9SJYhe/Yc4LMItVsdDg9rxEscJ1He64sctHv9rjwOkGg8DOewldg5eAG2vcSKOUndNoZYQsh/tQAijVtny17jtsnBzwz7+/zxU7Qj5yV5PH902wNGgwVB6u6xA4gpoEX2Y2am6vSmPzCaKqx0eLssTY4l06LCVpUWXvnJFNdRXLwZzV6GSvYy0YpoJhokmSiClvwG1Xd3jbK/u84uqvu836rR8/Pb/2EnR76b+ZwT1/qzx85Ombn3v2ixPRED73wBa+/NgEb7lpmR9+bZtbrwzxPZ8w8khSJyujVKQFyGUpSyrllwWYq6AukjhjADfYkW7YZ1GklHVR7imlzuzANBsYlBZyxHFi2r2YB54TfOhLLe56coLVdhNZC2jWFJOuoeVp6q6h7hlqHhlrW+au+ZLAUwSeIPDIKvR0Bm6N71r9rZyQg6fhTDuwiZVM344mTgoCz/ogsyo7LYkih40twe7tA/aeTOjHrh3TEIMXkU33SjOJkidqQI515hRLv85XWVsf/s47Brz+pjW+9lSXD3+5xeP7Wqx067SlR89z8JTAkwJfYns4pcERJmPybAqByMp+xwHO+ZeMKoNTrUysHqIAd2qyOn8DkRZE2pDEMQ3V41UvWeWH7+jzupcKXNVkrSO56+47J667zr35qsuv/hLfYHjQN5Yo66f9wdD7zw8+3G9cscHQHgjOdlv8+VcDvvZYjV/9qXm+77U9hEyJY5c0dUhVxuQZwEdBnbeUZf2SOcipqroqc1cYXOTANmVQKe0ULPucomSKl7sZMmapm3DvEw5ffKDJZ+6bYLHTQAQBbtOl5cCEazt5ai6Z7ICaJ7JDZiWnme72BH7O3jnAnQTPSwi8CGNi7n7S58S5GrPTAlfqYp65FGO3raEoP00zSTEIXXZuFNxxfZ+/fDiiF7sMYkHgGrzEsngYm8oqpQq/GiFHZIo9ZNGoYLOmDjU/5J2vHvAdN67wV/d3+cIDde59tsliu85AeAw8B8dVOELgSoErJa4wmdQySEQmuczodxoH+oi7kjO3DSKLwDKTIKnJmlgyORIbg9YppBF+2uftr1nmV3+qy1S9xcLSJGfbDdY6HnXTbzhS/efjJ09fAQz+xgDvD1OiKPyhJ59+dnK2FZJuVKx27Ow7pVzOLE3xGx8Luf6Kea7cPkRgSKW2LK5VNrJBYDJpMqq3K+/B9k+OANsUJ87qvgqwhc6ahzUiA7jjpHhOTBDEDMOUA2fg+FnFx74ywZceb7G41gA3wGm51JWk6RqajqbmGmouBK4Fd+DamYS2zFRWDpH93mQg1wXIPde2px05q9l7zAfXzZZ5U0nRj6YFiwtvKp0uqR3nfPXFIVdu67H/TJ1BIKgnAj82hIrM2tMZe+duSm5Bllql8Nnz5gStsukDLsPIpVYL+bE3hLzl1nXufKLHX3y1zvGzAfvP1InWfRLfYeg4SCVtOp/s75GVHufykDyANqNsXgF4AW6TjY7LvndCLksourGM0aBTMDHEIVfs6PDPf6DNbLPBqXOTLK5OsLQWsLzucmohoj6zj3rtG2+R8qIA77Q7Iorjn3/q2UOTvuuyYUrieylSJMx3AeVw8ETA1x7zuGLnAM81JNJFVQBujCw73BGMuiTla7ILXjJCrrnzk5cdMhvOKSxj+76dpJqkKfMr8JWvOxw5XeOeR2ucWatx5GwDfB9VdwgcRcMxNBxtXQTXDs4PXDuuzYI4P2R2qAzgZJo7A7eb4ruWve2NFXFsCfYdr+PKUXuwkCiU9eBF0FXYp7anMUlcrtw5YPdcn+eOJvQTl2YsCB3wspmAqgJwKQVCyhEmh7HgTZedN3kvZZy6hK5HqxbxI68Lefk1Hc6sdbj7MY+jp3zufLLO2ZWAdOCipUPsKZAqC5attVI4K9Xn8zFeSrLxpFD2DHkfrQaTgk5Ax/gm4o5be1y6Q5MMHZLUZ36lxtllj3ZXECeG1cVDs7e+5Yf+8frq2fdNTm+5kAh4cYA/+tBdpGkK0QITTZhoKqYnFDMTgtpUF3Wkx9G9CWcWHFJHU5MRSqZFsGmMLEFeZfBCbwswLyLiiojdFEPp80OpFNdPiVPD0VOCvUcVX3m0znPHPF44VqMT+oSRD66Harn4SlBXUHc0tYoP7Dt5nUZeNmvrwv1MlniewvNkdgOYUnu7qc0sulbnB16M0RELq5LQ+Hb6rbRDjXKbbbyuwxTLdNnvmGZ+uMBhw3SEVEN6sUvfEdbpiMuCMUfpkQykFBV45cOOEAW5pHlZQNZD6aaqGD/RDz02TUXs2BhzwyUhg2jAjx9r89xxj688ErD3WMDRkz5x4mB8RSoVCElafDlJVUyefy25QEo6bwyvgJvUsrctPcQxMds2xqiJmIPHQh5/wXBmXrHes5NuwfDCobVG/b7HfkAp9b6/EYOv91MwvO+5R37vyqsu6dsvl322Ri3mh7Yts9Jf5vG9kssuSRj0FZHWNkNYS6zkMBK0II0zkOe6GyqvR1NjIksUCWnrRsjkSBwZ+kO7DB4/Lfnzu3z6seLpFwIOn/JZ7nmEqQeOB8pFtRSeFNQU1JUhUNhxZiorPFKWtT1X2KRHFdyuxMtkie+B75G5JjZl7jr2e9qMaEwtiFhcS/nKQ03aXZ+pCYEjdVEykONg/FGUmxZaXBKGitkZxetvHXLn4wNOthsMXGlligNuYnDj3LPOPHaZWruQ6qwTWfwNbZzK37BA91JF6igSVxGndlCP4yT4bkzDi3n51Qm3XBHy1lcOOXhK8sw+l0Gk+MhX6hybd0FI+gOHNFJF25RxKLNB1etaALxqdBepTkRiEFpjMrDX6hq3lqJMytcf9zizrHj02RYrKx4Xz0U0fEuAWhviczHL/QPi+777YrV376eSa6753v86gD/y+H2AuSaInw92b28zCH0SLVFS06qHbJyJuWp3zKYZzf/2vknmf7eFlHD9nph3vnZYlMVumNBcd3VMI7BpWzL2Fhe60zNrX0hDuy945lmXlY6kFsCj+1w+d3/AMFYMY8W5eQ8tHGLjooULjoPwHRwp8ZQgkIYgA7avDL4ytgbcyTxfp2RuL+/LLMCtsh5NUbC352o8Ly/QSgv29rwYpSK+/pTiLx9uojzH2m0j+vvFGbzohEnLvMJw6PKW2wZ85sEOH7l7gl4S0Mh0uJvr8DjPOJqiW0gIWQDM/ilZ0foVgOusC96xTO46isRxcBJrFFgnyg7SnwoSbrss4dbLYowIecer+wxjO87ts/f7PLbPo+YLljuKZ57z6PRlppLGBUsO7BLsxkAj0Fx3XczsZGrrxVPDO79jwHW7E6QwnFtV/IP3TrP/RJPahEdkYDrQthUyhfbQENbWr52Zabw/SviZ/yoGN3oVxFRr+cSf1OL2EkL3SFKPVEukMHheTL3WYzjQ/MkXajzxfI1uqEDAwRM1Pne3nRJqUsPElObmayOaNfvhL+yVVG71zHVY7yke3+vRaUukowi1JDSOZSbh2AJz6YB0kFLiSmHBLA2+1HjSAsFT4KlyRp8FeTkm2e7xI4vG4yq4/ay31HN1Vo2XyRK3rGfxnRhjIs4se0RhgD8h8bK0t8qq8kaymHlHD1TcJQpmTbUiil2mmortsxGeGDJIfAaJoObYIZh5DUme0FKyWt4qi79l/0bmYmld+s5aZ80mlfEPSZrlDVS2uVdCnKSo2OYSHJUiZcK2WZ2tGJordgyJTB/pGNptweN7Hdb7ElUoltGgevRKWwZuBIZbro2ZmNKYxP6mntmrQhp2bE740e/s8Z4/qTGIQk6sByz3JQqsnZikxIeN+uz9XPZL//CtrTNL7c7WDaNzDc8D+PFTK0jZft/d9x979fx8n0AlvPy6PnOTGqMhMQmPHxD86ZdbfOIrLbqJZ/f+EDYybuf/IQmddcO5exrlElXcwfk3rdzpleXNCIHOt1wgqzkV0nYKSYkUEiVsitmCOks7S7KNW3PfuPLsZJ30imzrPQpw27YuO1zf9wSeQ1Fiahk8Y3FH42XZUdeN8f2YU8uaP72zAY6HK0UZYBby5AK11RWPOB8SasFmM8NR7PKu1w/4q3sHvLDQpJe61BO7Ka2tAjRlJ47KcwJlsFecy0IJyEqBV37oohbGcRRuavMHtl5clZsQSJ3VjWevRR4PpThCI4xmtq75zpdpO3wpzzqLvLLElD8biblElgyQ6MQpfqYTCLFyNVApP/v2HnNTmj/90pBDJ5sopTAa5mYiXvGSIWhFy51+9fziS9+nk/Qf/LUM/pG/uAclhfeF+4c8c2Q7YZhy5Z4Oc80BOrXact8Jj6NnfDIEjQUao8tSeh6w83z1GLCr+q1YbiVCZtsIYks7XWGHdXrCSgFHYr1aRVZTkb3OC4kcKnNQctYuu+pLgMtCtvieKVraPE9XBuckuBl7e06MlBEn5gVLnQDhOPiSEXkixdg9TOkqVCsoq/o4SRVR4jLTCtm5acD++ZBB6jBMwU8Fbmpwk0yHJ3k6XZe9lEJV7iZRyF5r2+a12KIijTROqkmVRDm2idmRKitWS5Eq23EjO3Jr1v5Nk03I0sgon5RVGgQU9qG5sGCpOGrFCcp+LoTt9mmqlJ96S8x3vHSF/SfXEcKep6mG5JpdDu1Ok6X2Aif2fdW7UL7nPIBvmzyFFILbdockfcmxVZe9R2pEUYI2WeGuA9QzmhYX0lvnfZWxx2hBQ7V5IX+vRJ49A1fY/Rdt0sEUNR756+JnYyDPR0Q4ym4u5TjlPBQLbmmfvRzoefCZgTvv/nF0IVFcx+pTz4tJiPnCgzUWlmq4EwqvWsNRdVDGz9BIpZ0YCwIVw9BOsH3T7T0efHZIJwnoOw61RBNl6fRqQVRecCaEpuwcygPNsQyizmaqGEiz+nxHCxIlcFJZ7D/qKE2SAb1MpukiwSZzkMvS6RJj7lde9TkCcDGGh9xZuwBu7H/L7uK2eVqzY85Y1yl1GIQ+Cyt1Ts83eXSfR3t49oL/lRGA/8aHvsKKU3/Z2uk7bzy+0qcfKyY8jSsF/UQRakWUlzcympz5Rp3u49Cu1nPn5ZGykjhQ2ezwHOAqs93y1/Y5L40lAznFKIQqsIs5KIqRXdpGAJ4HnLnudnJZYjK9PVpL7rkxnhsx39Y8ebgGjoeTyROnUqCUZ/vGOcC6SGXVXV5sVGQdU0Ucu1x/acjM5ID2Wp1+oqgrcBP7XVRq7BFXAW4BUfypfIR0td5Hm7KEQmlSLXC1IFWSVGk72kPJzIosi9fycogc2Lb+Xxf1QQXA86PK3pUKxAslhF6cEsvVvj+0q5AdkW1lXJQ41IOIzbNnuaQpbnzn99zxsnf/3KceaG0q3ZQRgE84Eb5vvvP+g1z35HMxzUBR92wXSOBk0/61LYTJt+AbqRr7GwC8KMOkvECSCtjFKFByYEtJ4THnP3OKFrUS2EpaWaKK7pUS2HnzrWXvTHM7FHo7twQtY5fgdovqxBhBzOfv93nwuSbSd/CksPO3iwrCar16tY66vIhFhWWlIC3VtnBtMHS59aoBb355lz/8fJMo9emlkiA1hEnlphYVmSJlxuLVP/ViTA7akcXApRzcqZIopS2jS5mNlijBbeVJWf8vZZ5hrmabzYhcKUGeE9s3RkrVTi4GgmY5A5sQsyXGSSpxnZTrLg1Rgbru5Fm+02jngQsy+Py5szQbjdd/5Wtf/+EZt8vlW/xi+70oATebIRfnQzHzqLwKckZjyBFgV2oXROV9AQJG079lOWw5eq3K6EW3vsi3AMzqpBXZ3PEKi2fdMK4aBbcdpzDG3FnPppe1t7lO3nCQVI6YiJi/uLtFanxUkb2sBphlX2PubIxo8JzF81LRfN5fmgebDgKXd76mz599IWRdxwzSgEEqcBMKFpfSIBNRFJ1Zu3Bci8qKNVkpWdWC1Mk63lUGcsegtJUrqdJ2lZAyA7cs9y9NczYvAV2sIvJvwOIXBLhFiRkDd5pNsLX7fMpsZLNkEDZZ7wl2XJr+8E23vOaec+fO3bl58+ZRgAsSUh1d6srhrqYfsnnGoTvQDCKIIkOYGCJpd9lKZDZ7TldY3Lw4wMf7+qqvZf6zSn2DqLBgweCiTJxIUTJ2PnPQtqmJQovnoxFGht1kwHaUKJ2Uwg60Hfe2MdlkzF0GmE6FvX034snDkkNnA4xyUVLiSZ3JqOrKU+qw85bmEQ3OSO187qjEicuuLTFXXtLj4YM1YuUxSASBBDc1OIlAibzRQyCTTIcjEWhG/6SosLioSKO8PzJ3V2y9S6os0JUwmUyRFf2d/0050k0lsgKzPMCUY3MPrTQdre0fg3alLqkagMuMvSVRvoltlA8cVXT6ilPn+rgT3V2D4fDSwTC68zwGP7ewiu/36fQGuK6intWwKKkZ5Hel/bNILVCpIZEVVhgD94hXMgJqk3FK+fPqUp7r1kKmVCcvFUuy7R2UFQbPO10KJpflmLZy+++MuSvDf2y3PQWwi2xlwdwpnmMTO7YrKMYQ84m766ys1BC+Y333yspyXg3K2Empau8qq45401oRxw6z05Lvu6PLk4dbhGlAX3nUUqvF83JWJcnAna8VOvPE83Kn7IyP6fF83mN1W8E0G6aptMHJVgilTSWxJEvmrkyolbkPX2lGyTFTOitVNn9xqTISM1RKDeI03/RXMQgVg6Gymwf07Ya2Oh0QDVaIhsPiv1UA/KOf+CwgEbqP5zqY4j4Cgx4pkiHNLmLRV2f+WnkC5aakhUQR46/L+mlZsdpGX5fTmOQYe1cnyFoWlyhnFOCekw0AcvOtA7MMp2Nwi1S8zl6nI4ejbOfOCyfg43c1CaWHkirLXo7eiOMZzBfJ65UsXnFT8uU4SR381OH7XjfkQ1/q8+zRGrFy6UuJl+rMPRLI1FTOmUFIUbCofejsb43uW1Rl8lSDU1iIFtxpVhKgUlMM6ywaIWTJ3Dmr5w0o1RW5aDMUec8u/1UAz4mgXNEkcSrLKbqhojuU9IaS/tDao0vzR3j4/oViy5wC4MYcBHbX7/7y71589MgqS6sgh7a+AUM5nCXbkcFks4qr1XFVgI9fzGrDasHo44AWo6CQI4ft9FYVEOVglhXGLmRKZQ6hyhk8S/KMgDtP37t5Y7LOtgvPwZ33dCbZEaPciENnHLqRB8rJ5IkZK489/+YdcVEqetiMe+FZN06Z+HFouILLtg559lBEqn0G2iNIbc22k2lwJey25TaxlAd3Ol8rK0wuygxnVg/jFINN7c+UhlRawKtsdwqpywkBagTcJeBHuq1k9frmwK5UiValSvE/ZTlHHoSbbIUp5o5n+6EOI0l/KOgNYDjUdAcJq8cGdPTmi3/xn/+D+kXX/3D/ZS/ZYQF+7sw5GvX110Wy9u7nj68x3ZikEVhbDRyiWNMfppUPZ+/knCRGLENTlSSjd2x1h6+qk4IsfyfGQD3C4Lk0kVUmz8a05TXSqgLq4nWW5FFkXrgFtwVwORTIrcqTKnurrK/Ti1jtav7jp5qsDAKE71p5Is3IqlIOzvlrMgT5hcz2rqm29+Wp+yRxaNUdfu57u3ztyRYroUckHQZS4mU9lPnIh8IuzFt2M9swL6M16AzcGoMcc1ZExuCmmOWYg11JkTG4lUTpOMBz9pYGSdl1xZiBIF5EqlD5WRVGeVNMtWEmb4ELI0G3D51eQpxN8JqbWOXyPde8+77Hn38givp/VTD4fQ8epR54PL53mdPnXGZ3C6ZaGoGdw7fWsd0kSWKK2RW5xWeq0fEFZElxU1SeGWO4Kuvl4KhuXmqDyhLY1ff25Jfjx1QF1I6UOJkkcQqA55pbF0Gl6+gC3K6T11+MsrerYjwv4mN3uzx/pAbSRUqJL0vPftzazL/gi1YTVti82KmiIlMSbVvOksTl6l19vvvlHT70pQDt+Aykhy9FkfRRUhCLfATy+Uwuqkyed1GNtBGCVqCMXRW0ERbcuQWrIS3YWxTxhqho8CLYrLopVGQLUB35kd+EJYufj6NipctWAMcx1LwUg2RhWdMbJgDMTCo2tFzceIHO4j50GpYSZcemBo7r89LLamypSyZaMY1aQt1PqAUDHtzvM7/uEDijMmJEX1bZ6gKuSZlKJivtLLf1yJ2UUrtmtlcuTQrWxo6D+4YAlyXAVaWG2snqUlwKKeKq0i1xK8OBSs1t2dt17NSqtbbms19vstz2IcjcE5Hbgy8uURBj9ZNm9OKN2Ha5ZZjviZMq4sRhqqX4rlf3+cyDQ1Z6PpFyGKQysydF5t6IyvCl0VWUjL3zH+mCzcuOdyd3VlT2WmbvJVaPixLkqcx1eH6tTGW2YW4ZihFdbp0VUXFWylEUImPOkgxMWXWaAd9OKkuYbGrWBx0e2F+j6QkavqHTN5w6J3lJWGPPnoAwtN/V+fKDRxgGGy6aP3XPzzfMc3zHLW20cWw3uj/gS48lPHZ8G14kEDW7tKsKQ8kKkIvnQm+LMWBXL74Yu1lEmSCRICmHQVaZOx+JXJ39Xe1wscPdGQV3vrNBztyqwtznMXg+bqIcOeEom7k8dlxw8ESAxkdIp2jOLasHRydCjXS6iBJu1Xil2sJXpuxLR0VrG2xiHC7fGbFr85CV/TVM6lkWT61McSoujhgDULH8G6vJi/DT6KJ2v1hJZDnreyS2yYAupdXn1dxEfl0KDS5FJdisBJhFdaWhnJiVg1+MsnxeXSqs5s1vIs9NaTVCrtuzyqUX+9z5yAY8x5JvFINoHuC7v3PLz7/kutuf/tHv23vckUS0gu6mh06lr7/zrjN81ytt1aCUhkECH/riDMurHtua5S4L52Xp8gs6LkPOY+7zA8lxoI9q73ysb87io8AunhXZKOCqD149si2tVRXcFZBn+9W7WWlozt4qe+84MUrFfOHhJoeWa+CV8iTfnnzcObFL89h6ewGZUk6AqjZmV3Y3y8toI4dLZiPedGufx16og3ZJUqvF3TQb8pmOSqVilRyZKJiB3JiR8R3Fa5m9ltmqIvPDTgaW2hSgTys5CWkq11TnUtOU13TEXakSnxnBTfmZLdBNpueNLH9vDMxNKv71u1bZMTegF3tIKcGkvOGGVS7dctPrTRxuSpPkuOMq8B0NQnHfvjmePKEQ2gaUqXBBu8zUBJ7SZSCVf6kcjGPAfTHdPR58jdwcBRPkEqWc8z2+W0Ohw1XuolSGueeglqDyvdpVuT/NCLCdckBQMeLN0RnIEytPVEytHvHwAcVffb3BYOhB3cGRAleMSpPxAHP8Jj8P4Izp7zHLsOqLx4nDRNPhra8a8qUH+zx6wMM0XAapjysobjQlRAVIuVuRg7sEebXAyQaf2Q2mLJun0urxHOCpLANO+94U1ycdYXIKUspvcvu6lKX2xs+BXYkVKvI0X+WNMRhpu7vsLEObwez068xNwP/xziFSdgBBmjqgfdLUJYpBJwKn6SYEMmZzS3PFnEMv8Rkm9sQ7kqzzXBM4lWL7invxYraYwOplwfm/gwoQ8vFgFZCLCrBVzuQViZIfFuBZckdWAiLFyHBJxylHKDvZJkyOGgW6W7C1PVTmnHheRBylfOmhOi+crIPrIqTCExSbS1WDSyHHzsFYLJIjuwyesqGVY+PtdDb2QVfswihyuGJHwhtu7/HM8Rph4pFKl4FWeCljnyX3whljcPtsRj4HoPKbTaOVQOUTEKTAKMvQuXSR1etvDELnM1rs6/MSd1WcUCW1LOknRcVpAV3BlMo/n5GAzubAOGCwg0u9GkraGzSOHRZWFRudBjNCkEQK5+67v4DvO5w+22bjhKIfa+K07HIvJrVmpahVXTbqfpRMfEEfmNEvXv231f/vCHNnDbWFxhuRJhWrMGdsNfp5nWx8cnU+uGVsUzC1UzyXr90suHRUjO9FPHdCcOeDdfoDDxouUuSVg1TswQtkMSvSrRKOF7UoRWq6Mnr4vIRPpQAril2azYg33BbymXuHPHPUB8cj1JJhmjkq2m4XU2YUQaQZYwphZzQUYB+94RxFKV2kZfN8Vck1t8nkSA703APX1RV9XMLqPNAcx0B2VnR+nnKLsWRxI0Bko7V1JVZJU8kwcujJfECn3RKmM1CceOJJYr0fKTTO2cXDeB7MrwiiVNIKypG3+SURovR4RxyNKuOOAZvKlyn90PMDy/IuF2NALzW3yF7n6XkpymxmlbXtdKsc8JatVTEffAzc2eFW6p+tPZjYI+vaSUzK5x+ocd9zNQgckLah2c3T5FVQM3ZU37yIBh9NlImiyTx3VPI6jBzo4dDllVf3edPL+jx/IiBJXIxQDISDm1J8JpFWtO/IrXU+k1fHOShVWoba6Oy9QGphdXjV78/Z3IgMxHmQOR54VuRKYSTYQLLaFCKg8t+pYMzk54RsK3FZlAjkpza/EQM3Bc7RHWRSdX6liVSCQT+hVbcDx62ZbrK678oFq4BajoO6ysqMgn/U9x4dsD7yumjxEiU75EBXJbOXafrKoUpw57s6FIdTboKaA9qtgDp3TqxjYp+VivHcmKePSz5+dxPwQLoIoXCL5I4piqsutDrlsCpbOiqdTGMVmEVNSLWENrWte3YKrSrS98Y4vPM1A77y0JDHj9hJArFW9FNR1M1LQZbCF8V6UX6i8rMYY6w8GQE6KEbZXEppx2FndmYB8gqbF8SU5ZakNhcgwUyK6ApWZOn6SAE6Z/s8WJWGVFh70t64ZZKomgU22HbEVg2aDYtjZ/tMHSklw1pE29dZccvodm9Fx/8YqL8RK58XROagr+ryCltXd0erBpWl7i7dihFwq3w3h7wePKt+Kwbgl+AeYe3Kc95Ym0sVpRJcNyFOE+55tMbewzVwXZA2uPSEqUyOrTC4PH8lG5cnpUQpXxSls5UakZHqwlSiVV7s7xBGLlftGvLKmy2LD1LL4qHwGGpwUlFIApnmdmG+JFduskz/VwPe6soiVeW10VaqGBsXGSOQpmTxnHmrrFsNuHO2FXJMmmJKiSLKm4QqcWj7nGTSpbBcs52W4zTfbBjSVCGVtXHB4Ey1bCNv3XfwXY80hTDWhJHdii7fHMgUKXhTAXElUORC+lucD/zs/zfCdoV+q8iTihQaqQmvVBUWwM5ZW+aTn6r6uwLuylD8wj2p2oG5PFG2avDQOcGHv9QkjF2ou5k8oWhNy0t4RcXzLUtjxzTLefpkFOhVmaKruwqbC2lxh4Yv+dE39Pn8fQ0OnLE3X6oV/VTZKsNUFPMEEQaRZho3HV1JTA70CoOrrIBOGRtgGmPZOA/ujbRAlzqbrmUqLooekxdVE6HQ2xTp/BGvXow6ctXEn8VT6ZnnzJ2kEMaCQWg3DYhjjeuC49p/o37rt39rYy1w/t/O2snLJxoQ+Bbwqc7v7vEES8WWG9vESF3o31QPkW1dl2cflayMA5ZlJrLqiiiobgWospEJbq6184DSMSOOST4BqgpuVxkcN89alsVUZUNDnD1HpDLiQ5+r82d3ToLvgwpQyqGuDDVlsnEUFA3ObqU1rsykVhNRknIyLCMBav5dZSUjmt+0QpI1/pa9kLYOSLN9U8SZZckTez2SbOqAzpqO8/KBUbtWFPddVi431oYlKnedKNh8tEx0TLePSRtNObi+emjG/v2Y9z/+78+bRKzHLVTL2lEi6A8F7W7KWjuh3U0Jo5Trrrtu06233vZVJx0cnZyqL79x97Y1lOMQRYqTCx69gajcRaKoQYGxk5b9sGr15Z43jLE3VSlSZfXKlhlV1q4yt8gLe0adCycHRiZJVEV7q2KPHlMA3VXnS5Lqs1IxrhNz8Kzko1+rY+evWPa22rsEpxQV2VRln7FAU1TfFLJkDBy6WhtSzhU02QDTVNtReDpVpCrT4qnD99/R5y/vqbPvtAsywghJmLr0qRStCRB5CWmaJ35ysFaYPF+mKyBWpipTKkcuQzJm11oUgWfhqFQlnM7sP8mYfM0D0HGpa85XAqNKr9xROTUsrWlOLyVEiSGJQ+a2rr+xF52YdDbOnCSqL9AQJ/F9j6NnFftPbaDTruE6uW4qJUgOWioBI+MfpMoWFwBzVWtVl6NqsDbe6FBsLpUtbUWgWQF2HlzmIFc5g1dkicpeK6VRTiZPnAQlE6u9VUKqEj73QIN9h0rtLYS0CZWig2bcIh0jgOp5GFMpo3xYNiCXc0zEeWzlZLZh6Y9bqXLFpSFveVmPIx/1iVIFwiEVDkMhMlfFZIVxmUTJmXtkPGbJ3taXFyhjLUyK2MAU4FYGjDB2/qTMAW//nRaZHq9cT111y/To+Sn+zQXOmxg5r+b8c4wlm7kpTRC0Obg45NBigEkjds6vEkuB858+V+f0uQb3PjxBsx6Acakj2TqV0KrbrZ9HHI4xVoYLvM7BL0d/PwJsLqTTLgRwM+ac5P2YpmDx84A98r4MKHOtXWxxIjVONlc8H5zvujFHzyn+06dbDKUFN8KpdM1nK0ilgu68IHsc0ReS4IZKUFd64eOz1EsNns1NURKlFal2SFIXP034B2/r8al76hw564CMQTrE2mUg7DbqhX2XB5vFBzQjH8gU8qLS8Z+BXVWlRQ5go5FGYIRBC1EAXQjbLTTui2txoThtPG8wRhLjKqAStEphO7OaDc1lFwluvSbCiA6O7DG7cStB3cdJohY6DJHRJEo5BC5M1u38kCJjKKsWXpWdx5h9JHM5KlcudNde6PVoYFmZ/VHpqred3mRDLksWL8GuS3BnQC5APeJ3Z/JE2veuE9GJNH/4mRZnFn1QVp4IKUtrsOKaFK/H2aeQKeePFb4g0KlqUlPZoElQ7kxWsnfRDCEVaeKwdUPIT313l1//sEc7tqOOjZCEWlnbMM2vm4FUUNqGYyAfcVgAaSo8b4NWaxuazFEx1jrMrosxuTzJQC4MMmf18653iYkqezMO7AuBPZNAjrKkECeS9W6dqaZD4CcIhjhyFiWncK7aKtjgSoYLEpMh1XUEviuKvRmVLO274kOMsLX9n1HNKV70Dr0gsEci7+pQmzJxkAO7LE+1rVR50b8qgG1GAJ3LkUKiqDT7t0nG3DZr6fgxn/y8zx98okWoXStPhEIKiSc4v6n4Amn58uau/PBFIG4qKqG0Cqv6fHyfo0opbeaqJNohcBJ+5h09Dp7w+MDnrBYHRSokQ217N2WaE1O1ACu/eKbyN81I0Key99KYzD0px3sU2jwHdwXQJWtXs5jmfBYfk7cXYu+iajXHS2ZJ2hjFAJI0den0rTU4GNbZ2p+gOdHEuWoXbGhKVuZ92j07uksK63I4Kq8BGbX7qhrowmC/wN2Xf7jKz86TJnK0pqPU2lWZYopObylL/S0rsmQc3KVFWLUFk8qzzVqursGnvlZnLczBbQHuymw8nCgHDp0np3KLs4LnAtYVfFddhCqD550qo/IEO+Nbm2w7xkqduLRSRWuHJHWY8FLe9to+f/lAnZWuslJFK2Ic+qJMskiRa/Eqe19ArlRALjPLEJOl5HM2l+WKk1+33IyogtxWAlaaMDKf+7y4rYKlF6tGpXreRb7XKAwjab3yVDC/rFmJNa0JjSNEgpQpnito1B20vkD0mt3lFH9EjJDTKHO/yPKSvR8vKy13S7Pv7Z7plXkoxbgIUwF31VIrQV0GmhVwK51JkHIXNqeqxzP2dusJn/96wKN7a+hce8us51Lk8mS03mSk5nn85q6eixcl8Yw9Cx+8BMxoc3DJ5jaFL1Gm9MWT1MXRCbdcHfHmm/r86Rc8UBEIuypH2mEgRMa81dR9dTmpgFza6WJF4JkHn5AVYRmMyNhcUOrwIuDMgJ0RlTYVvZ2BnYozkrsmFJgzJc6qZJHHN1VmFyDiUhJrDVGcBQqkOPc9Jeisw+KqZmZK4MjyPzoyrSqfVzHG3NW768UDhOr70Y6TKnuXW0ibUXmSs7mqji+oShVdZC9Vrrmr8iTfuEml2e8yaSKte+K7MUdOSj78+SbzXc/udy3toHclKHdsqK42F5ImlRv/Qux9HqYo2fvC/vBoVtOMdN3b/XPss93+ZGMj5cfe3OOBvT5HFqS98ig0klDYvXZkmnNVmcav3nC5TCKXKxJU1duWVoYYmd2YVe2dGS85e+u82lCUwNUmP09jbXUVIi3YmlHzYsy0Z6QqMrsGjpTMTUtuutKwcU7j2PXDzudr1W2XOdg7IdFlkFNdVquMNA7sCwGcrLuaMXBYKTK62WjO8OVwyRzkuhhTpiqypMri5Tw9PaK3q46JoxKUTHEyW9DzYsJU83sfa3HfkzXb2yYd8lHNbqG9S4uyXO7H4ovKElpmNCvnaQzcoxnMssqw6qiMbKJblNHadjMLdkWaahLpoBKHV94Q8dPv7PDLv+cRJtJmoLQkES4DbLItJ5YyqDSVz1W+V7KEUV4+SwbyopS20N7Z+4zAtMjqVDLglqtd2fxADvIRFh9thshgTnVgUP457PbgJhs/Z39vtzs3GKMwODhX7VJ025KzrqHZSFDSkKTZJqSRJE6sztEVgFfBfGEGL+XMhZi8urSPA3t0HEEOdFPq8JzFRUWeZJm+88AtdSFHVJbMkZX3Sia4XsLdj7v85X11wsiFmlNob0fY+eNORXd/o5LYkRilOC7cdExldcyBjWEM3GAUo+xtyo2rpFYoo7NBPbYDv1ZPeNsrB9x134CvPK5AxYAlsQSH/oicysF8ASYfr1MR1iokZ3NhAaZkdXyIlS75dTRV5i7OUxm/jGMkLwWpGhTFbVeNY0yZ4EkSTRgbosTuKiJlyvJ6yoajsNSVOLt39Bj2O8zV1hDSI00l/aHDWsejk18iYetRLvQ4LwjgAh8+A3H1fbWyrApoUQngRsFdnf1XkSrF/GpTgjufZ10Z3K5UisyY28nA7bkx6z3D5x+oc+BcYKWJsCWxBXtncUBRe1KsPGNSpfiOVUB/A30ywkYiC+wqEiXLMpqxnaNLJ0UXlqEUijRNkdIhDh32bIp588t7dqxwlKVftd0nKRaKIaVtWCaAzgd5zpoSsgIrsoRP2StrjCUeI0QWbNr3uii2GmNuqg0NlfEWY1gqzt7YKljccMbO6AljQ3egWe9BL7Qbew1DzcSmlPVE42yZW2Z9fZGlhXPEukaSSuq1GnEyTbdvB1/lF3Tku1/g9ahEMed96ILN5QWW+RFnopQlBYtXQD4qTcr6jCq4cxa3N0E6mtCRtlNek/InX6jxB59uYkQuTSx7W+2djWQTo/78BeVJdjVGn18E4xVZUjL4qBde1oVnPZHjADfSdt9oiZY24FRaE6cuUml+5q19Dp91+YO/dIiTDOSZrAmFtHMHGQV5lclzCVLo3KzZAZ0FnIKidzNneCmqQM+kSw5keaHU+/hKn4OpossvhLmxc9cNYT1JkPWUNNVEJmSx38Os1nHufbbJk/uGvO+DU0gRYFLNG2/U3HKZPan5NSrcj+pSUv3DLwZ0KpJFZDZhMS/jRYBddU4Kdjdj+luPBphyXH+nhWPiyIy9M9dEyRjXizk8L/nLexr0ei7UbILE7gdZScuPt6XlIGdMgo29BjGyqn1jBq+AHipavHLojMnlOJPLEuSpREo707DZSHjrq/p86f4ah89lHqv1UUiFYDASFVTBfT6Tq2x1USYDer7oiIqdKEvPOwd64aQIOySqdOXMBRi72mL3YuAebaBQEuqB4qItgndet8wbblpFaxhEMc/NX8HaUOA8+vwGTp4xbAimqXkOroL5BcELrsvWOUE9yAuazrfFLgTuql7Kfycr2vzCOrwEtigCuepwx6otmLFyBmxZ0d6qqrmLbTdK/Z1v9+04CWGsueuRBl97qmaHg1fYWwpsYievQa/MHLmg/q4GlRcIMP+6R8HmOdDHD0oGH+2+L0tppZakQqFSjRaKJHR47XURr71lwKkvuoTa6nCLREhwCIXtvRQGRLYLXi6NRpI/QqAq71XunuQgx7J5Dmgtzwf6+TJ13AKsgPs8whQlfsgrW+1zLVBsm3PZMjHHidMTOEqDibn+4glqjQDntpdsX5/yhl9aP+1/T5ImOErSqCkaNVnMqxrRv3kEfAGdNPrhcl9zVItTcSHylaEK7HImeDm5tCpRCkDn8kRUdXiutSuBpCqBLZXt1JFewr2Pe7z3gxOk2gFPldpbyGIcW9UaLP36Stwwxt6MvR49KS+CbC7A3rlMoWTrPD2eB5+ptlNeR5g8kypC22FBnpfyL3+iw4HTDvc+JtGeyFjcas5Yq2yT9/GOoxLskP1ftCg+qJEVXS5KiSKEyHooR4FuZWkZcI+s6ucR5Pm1PNWJxELmn86WHQsE3YHg6OkazbqP3UdIISc2f2nL5KXr6porN/V0vHyk1ZQ/LYBmw6HZcGjUFIFf7nrgOnmdctk9o2S2qsvRY1SzmpHBmcUcvdyZUDDibY953dUOHSV1NmjHVBi7wuBZCt6RVYlSShM7YzDm9KrgvR+e4IGnGlmfpQfKtqQ5UlCTEEjb1+nKbPREpUx2tJa72tFf1u6M1sPLYvpWwT4VuTPSzCGyRoXqvEFZXdkyWZcRclXeldudZ7asgdmZBN8xPPqsx/og15kZyJHFFPHRuhlRgZpl+JJfxchNOX6vZmu4fc5XJEHFBq3exGP+P6VDUj2qP8tHK1MExva/laSCYSTpDgTLbZ8Dx1Z+7Kln9h9w5qYGWa+iJAxdfC/fas/ge3YzJtu0W4J1fNugcfv9wstMJciQVRasTCUttPYFZEpFnoyweNEEMA7u/DkrhZW21jv1Uj78mRZ/dXcDE+TMbd0TIcqiqqK4a+wYLT0YLQ8uey/PPyHj5+u8lEUmbMtKvmq3fdnSVnrhptDkZnzMhFBIrRHCQQ5S3vbqAS8cdXnfHzlEflICXAiMdohs388Fmdxky3AhUUSW+BH57zLHpJAsWelsdn5yRh8v2aiu8OO4GT83xe8Etv5c5HNk7P6fqYEo0cUOHr1EM9QpEoMzv1LLvotmZiLB98pWsKIbvZJYKZaP0dKFC36o6gerzr0YGWlQTZzIC4C8+Jkuiqvs68q+MTmgsz0dZUWWWGligS5Vytce8/ngF5sMU6e0BYUDwm5imtecVAurRj4jF7IHL3QBx9WJeNEzlMuRaplq1S4sCq6qAaesjHoTAplJFF08K7TQpNrBdzU/8aYeDz3j8ZWnGhiRBZzZF9FGEGad8aJg4IpMEVk1IcYGmdpOVxhxTygBbiRZG1vVC6/GYqNx3AUfFUavhr9kN5BK83HeGicxhMpqckfBzLTLxprtSnOuu6yPANJUMxxqwtjFZF3RZZ1HdZOh6nJSLhEvBvILApzzmbu6FUb+/nwffHS3L8vg1b0csyBSjgJcSStN+qHg1/54gqNnfIyrQKjzspauKH3vvCRWXQi8Vf1NFdBjlPQNBLm50DJfWcq1GWfy8hjpvjd5QZZEi5zFJUIohHaQUcolWxP+9d9v89C/8OkOM3Dr4kOiUYT5FxwPOGVmW2IvvskWgDwARZhRgJuKVjYlQZjCLbnAqRnHd4Gx0YQT5LLNbtmS9wUIYW+8QWQ4uRqhPDvH3unGHnHqMDexytbZdU4tzJKmOcB1qQUzgFb1U1EjUa0+e1GAV12UyljdsTG8owkePSpRRLlPY667i9cVJ2UkyJS21zJJ4Xc/2eSp/UHpeedHVnPiClNpRyvtwZGgcpx9Ro68vmJ0Sur5dtyFmYoqcWRoP39uYWYVaoEWGZsL+9r+rsriWYubcJDacP3lMT/39ja/9bFJojT/0DnYBalUhCkIVYK8+MxFV75AZj64JBsGhB0VQcbY1UAzrzsyhUwxRYWAMKMBZV7UlZ+HfEB/USpC+d8ZsW2zCsdUw9HFmFtukFy1u05/kOK89o534LhN1pee4vDzX0BKU8zsy2VJHgmXQUC16McOqDE6X2YvwOLF0jTuROTMnd/lFvCqwtoilyZVmXJBcI8mcopDJagg5SuP+HzgE03aA9dmcMSL1ZxUtPd5gVzVDboQg49T0gV0+Rgbjf9sPOAaD8p0RaLkgzoLhyUvrRUKnRq0MFkySJEmmlag+cl39HjieZ+7HlZQz9CYV0cZSFEMdUaTVZCLjNElKJ3f4aWrYjJKtlZhZSpVhdGlqZw/Q5HoOU/uZkdqyHZmzob+FBtU2UdOQPmgJyUFdTfllhtu4TUvu5a19R7OwuoEtVqDg8en2bt/kt07BfUgxfcSXJXaDu7M0jGGbNqp3fEqSQ1CSERqdWDBQnn0UfE2x/V2WVVYsvo4sIvMpdDnyZQLgruquzNpIp2E/ccd/tPHWxxecbN97y2w7THG3hVZcl6ASQl0WU06FJF0NcB+8YDzQomd4rxlZavVctmyhLbS8ZO918ZeeJFt1W2y+SWFdShs0CmkQcaaXdMJ/+D7uhyfdzh0RmCcsdtU2jqXMNMChT8ubVBrL60FutF5l08JcpkzehaU5hWGwozWiIvKPTJyn5tsC/vKplhJKkg0JCkkFaWQF8B5yrp9Td/wkkt8rr6oyZbZJi1f4Mh8ZIMS+J6mHmia9ZDAi/HdhMC39ZVRnG/E6RAlNltWXkCbPMjtHFGpLa4md6wON6NgL2ytympR+N/Z5kaFPBndTvrC4C5LYV0/Yb4t+LU/avGXd9cxbiWhUzgnoqK9RwdYjgTDI0EyuQkxkpov5NiYazIecV4oVqlY4qNMrikbC7AbBBbzxI1AmmwUciFdZFbcZEh1psMF6NSQ4OBKzdtePaAdSt797xUL6wL8CpMjQDokOqvNkOXqnGttpEDqXI5kQ5ny9wXYRaa7TbEbiKhIjBfT4bkcSTWkqd10OEogTATDVDBIBYmBNLbn3HcNdcfQSG1ZRxhrO6wqO4/OVEvheLX5S7amd84o9XqHJSabMc3GAClizi7bscOb5wxp4tIdBHT7PoKKBte2iszu/FJZc74RsIWpSJSqTNFjbooeZW5R1dk6Y+vsd5mDIrOgMkLzuQcbfPWxutXdShWOSeGcZOC2Q+S/UcUgZakB51+kaqxRBfY3zGiOp+mrmczz2D07z5mLYURVplgNns8PFCYf4yDRRtnCLCmRxvZwKsfwupuGvOVlff7si3YLviKrVfzREuQmc0ysg2IZ25EZLVc+jxLVz5e7KaJI14/U0OdAHwtLqjPTU5N16ySCdixZG8JgkGJ0wqbZBMeBM8suyji0aorVQUriTHNyUdx5o/Tm+8M+ztzmS3nw/t8/npraf2y5weu3Tp3myFmP+18wdIeSz98bUG9ovvPlQ3wZcvVFMbOtlKVUEsXOyNWq1u2O6+5xeTLO3qNMrkfswXGAj4Pbau/M6xYpjopJhOYz99R43x+3OL3sVrKVZWApMnCPDtIcLdfN+w8vWB5bJecLgPx8bJ//kyqIq8t0tWVMk9Vb54Emdl/SfK64yHR4rslzBred7TpzVhSp5X7iULN9Jubdf69Duy/5q/saxGnuoIhiUS5AnhVZgSiAi85a1rQpMpoF21fdlOzfywsB3VT0+IWIINPhg1Sw3DVsmu5w/bXr+CrmTa8IqdcNn703YDBw2X+mwXOHFK991TZak2v/8ZN3ff74T/3Aj9k9evYe8onTgJ3TiqWFlN/5ZIOH9k+RSpe1NQUSvvRUgjIRb7lllX/89pCmX6PTr3SbVAOAIgirbCknSpdEVhwTUQH1qDWoK0FmKUukuBC4S3kiZYLjpZxaUnzg0w0OHPGhkevt6jHK3rnnrarB45g8udA0gJySCqlyAeYuFYrJvbLzEz0ZRRTWnCmX2bJ8lkqAWdHpmIoWt2PVCiNASoRWpMLYgNpom8oPNZfvivmJ7+3y2HMex5cqd3NuH1ZAXlQSynLFtlWFFrhKmmx/q/wmyDQ45PteFfNZwDopUl4Y3MU5lgYpJMNYsHWuzbvfeYY33JSgtcvshEIquOXSBKUGPHmwza98uMnWyZSrNiesdOwmDg7AG17xEpTTorO2zm9+8CBfe3KOZuBRk4bpDdm2bbFPFDf41P01Lt+5xPfcJglDq8d14aeWFmChWas1JrJ0T8ZZW4w5JUJUQV0dW5ZWAs1ckuSHHXu82pH8zp+1uOepIKsSzJM51YpBuyrn7F20ylXYOyOlcqj9mByh8v6CjQ3fSJ5UQD7SXV/trK9KljzAhILNR2eo2JHCVq5UWTzb9VgrpLAOS5pJxrRvePV1If/oXR1+9Y8nWevnGpxMk1NkZ1ItCXMFIypBZyXgNFmTeHEjVmxDWXnO3Ra0KZI/VWALyjIGgyFwEt50U5+33OqBmSJMXM4s2Km7rmMQbsLLr+ryY2/Q6OBiCG7BTXslwHfu3ATOlrt+8zOfee/x01vffcXmlMl6anV2NkY5n78ca4+jJzbz9Iyi5osCsKWPXdmbRV44eCwrCEsJIkQVzFUtXgV4Ce7SKUlRwjK3UilDYfi9Tzf5o0826aaubdkqgJ27J3Z2X7VisJAockyDY0YZPdMg1QCpLD4zWRj4N3hUwQ2li8KoZTaesi87f0BoO/lAa+vB62wopi4ki/0eFvj20EaRJoamG/PT7+iysKL4D3/WYpBLlKrWkgZwSJGEWX16DuARWSJFluUsA9CcyXM2r77OLaUiw1k5z9IKB2oebJxW7J6b4+jplDQt7dJU2xHTQhgatSY37IKhPPfeTbt336WPnCsBLtyt/Pw/+9W+kPLYzg0Ntk30UMragFGsiRMLdCkEgS8IVI0zi4rZqZSan2bz/ix28tyqqLB2WSWYM6SusLYecVFyoCuhy9/n7omoMHcB7vK1cTQvHPL487vqdOKsSpALSxNvhL0rn22kjGDM/2b05wXIK7Im/+GYcfJfg+/iuSidzW6ZEuBmDORixDrMHZVcnkgh7axtY7JdEiQic1bS7JokiabpJ/zg63rc+bDH0wftXBPr6eVMLgom10iiIogUoI2th8Eysv3nosgnGErJQgXkxb7LItvYLL+nRD5o1abdA08w3VKEwxoHTxjqQVqsVFEiCCNbaAUBM1M1pqfSY49+7tf73/n2XygBDvBzP/nduF7Avuce4tD+J0m1x3oP1toJgzC1Be9KEHiKeqBItd1t1pGVUcf5jL38LhyvcBtJvY+y9WixVel12/dpZhumFSYvZYmUCcpNefaox8+9d4q9h3yMK6mm4kvvW2TSJB/BVnre4kLALuuSzrcAq8DOLhaV373Im/NBXmlZK39W/rwK/NGun3zITm4bZh3v2K0Btcn3zJFWnmhjbUNjkJkuFxhEZLh2d8z7373OT/8/gr2HsxNUgJusosoyuUESk2UZhcDLa1SyehWV35hk9mFVwgiL8vy85SMlqqtiXl3pOuC7tjKzNzAsr0sGoUAp+937oWCtrWn3Ujq9iJfddg03X/syBoMhMAbwuY2T+F6dc6cNu3YsM1GvcfBkizD6/9p783i5jupaeFXVmXq+s6arq8kabUseJFmejfEIZjAxSQgJ4eURkjjhJSTEgefvPUi+9wLk42GGEBKCcQIxATzEE9iAjfEog40HWR5lzbN053t7OENVvT+q6pw6fa9kyZMM+er3O+ru062+3afX2Wfvtfdem6UH3WEEvs/gear4X/GVWbo+/TmplcixrDPLBY8WW0LaXRJhceE8x57kwa07dVyOSUnxj7cU8dSzjSmwHQAAO1NJREFUPrjTbrWdtCWJEcCFnbGUKf1nsyZpAIw2JsW24oegTIj978vRhFPAnvnkUzhxDZp0bk5aYahZCkMXaitKtBWXUqbuCxEUlFAVdAoGAQkQAScROGl5iD98Vx0f/4KLyUQfKCAbeW9uNcgT86G1whQjij6UxHJTKEk5cnWgVTDKqJZsk0gD1uz4KdfXTIwTUiKKJeotRU07jjqojZbEzoMRNu+N4dA6zmASpXIHQBsZZs2d4UmKWsXd/IvN3patm+nC/p4xjAw5aDQDpXftKCHOwKPwXE0pt1+HczTgdIVSbTRgGmAKtAeTGegNuDPrTVKgJ3DcBA1BcN2tJdz4kxJCphoX8tlK5aoQbb0zAU0ruLTrrfXvmOvU0Wi1LXjmpkwVpMnqTg6NcHmY+7afbXam4LcBbxdj5RJAWXkt0dQh1a4MF6rcjxIJLimgrbmXJLji/Aae3+HgulvKqMfIQG4+Rwpypiy5lmrjRA3BktokS6qrDy2OPDPV+s30SWNwb7tm2XFQSaooFmBU/TKeUOoepQIwbw6HWx7DyoUSF6yTW3q66OZqKXuT1Dz//RevwTveduaWhbNLvQ8/GZ5zy084ohZDqUDgewyeS+G5FL4H+K7KILmuniBsTVLImiJMtZ9pDM4qALNKQJmKu9v13XZRlUngZOxJPmNZjwm+cUcJf3ttDQdGXKVIn6rCZgpVIBQOBXyqhHxc3dDALMDntcenb0agpG0gF1GVbcp3NEq8Zj9Fbs6Quc01MGcFQ7Z2+pRBX+lzmnZNi9Rsl8pu7M2CN5N/UPfllCDZZjKqFY5TlkeYaBA8u8VRSaA0mp7uNFUukRG4ty9Z5orTdubnXpOLbfQxsAedpaNs9Pc3m+rHBJYNcJx3YoSenvk42Fz1le3bd3x96dK1Uy04AIw2fLRkcOfcbu8dF6wKVlEKuI4CtutQeLqE2ozFNlLF2QQCmbPMWULGTt4ITMuQaItNaN5yE8OYEJFzSyjloIHEbXcW8emvV7B/1FGd49RkKpl1q0Bj04IZ721qvNv7LS2wADnfPP2tSbbZ+1PaEEe22gNLe18maay4lemYFLvSULlbmSUnbVZcCJXsl0QqH12qlL76XwxJJDGzg+Pq/zqB4QmKb/+gDARJ5qKYy1tuUQjtlwuhrbk+1ikvrisQ0yIufUuISuYod0rpp3CqhIbSehQukSQGJ0QzQQSTDTVaffvePsyeXX7q5NXkzrCV9/uY/eA71/8bPvCeOTvnzYjWdJT5yZwrkDhMuSWem7WweVYrm2dPUUjFLrNa8qwB2G4QntqVk7oyLF9QZTMnqQX3JTbvcfCZ66p48gVfMSbUck8M903Vd3Ap0vk6afuZtt6U2VYZOQtqT5jIBtMitdLGcitr2maptbU5nAWn1t9LKxetzrIpySWanYC2tkxqAU3gqOnafJPBVC1Fm/0xj6WQqNYECr7EI0+7GBmlWY1CZrinWHJAZ1dhEqJ5a25qyLP4JItW7LxDVr2ZVzXOrpbqccwJhsc5Nu0BXtzv/eC+n+/8yoc/+KG2U69tjSdzMMbnoFymqkMZepowU36P6yh5N8/R8yeZrQuYSRe365MwW/CyrUjK8Ntpw3DasaOf1wKhVNOCzBPYstfB//yHGn76eAD4NlvS7n9n1ttps97ttd5pt057okejIb1v/aZ54uRwl/Ijt+YZZ5hZ75xVN4keWNbbsuRZmr+tC0jQvAxcqq+iO4CEuWUQTYK3nNLC31w5jgWzI6jpwNYmkmk2DkgBISViATQF0BQELUEQCSDiBLEgiLUsYKKnV3ABVS2o73OutkRP+jNbrC055wJc84xxAlDXxYVn9uL8db1TjqfTvuPEVW+D47Do29+7GS9t34zuimpEZlQB23XNJtRAp7aBqqz9VvdKGjfEWOS0sMriu4l5nLorAoRkwSXV4N5+0MEn/7GKG+8uIiJ6OD3Rpth2TSjNAkvS1iVvWwu0syOZ1bPtU87Spf8v79BOE3fnsp9TEjjt6G6rBU+fsupTshe19XCaojedrjfNEDLlwI0WIIEkVCeJNOMlJYRkmjNn4EIicDjee0ETXAD/4ytV7DjoZUHntKcmhXIKKKRU+iuCAAlRIwA9qhTSBLHGtljNIATqdWoqnH2lya48jAo4QpmSgg/M6uaYv2Amzjjn4khw/vIA7+vtQUe1dJUszl8+0tx1bjlIUCWO5iQlAk/A9wQ8V8Azk8rMmBDHEru0G38tZoSkSZzMF08BbYGbUm4BXVtuR2DHoIOPf6mKm+8pIqJ61BqZvtYEUFbXVqiyrXe+I30qDz7F9247GWwQZ7cW0En+yWkNewrorN4k93SOMZmmITlNBE1NAhkfXG3S8sWh+y8lBGjq1hgmWxWIMCSJhAuB37yoCYcBn/hSFTsGvTbUmLSNTqqZ7gaiwC4lQUIIBFWUcqJ9c0HMFUimrY9ZSJoflAWrQpVqBTMhlHu8aIBi9Smz7qt1zrsqDsdfHuCdtTJuvOXHEyv6Cy8OzQzOctFkngsEvlCbJ+B7ZgSfNUzVHqjqZMB2WMZjK82KLLBUFttw5iIH9AzkKsAkjsDeUQdXf6WKm+8uIjJOcy6YtDeSVgsa16TdettZynb9E9svtDd1/C2O2wJ+/gc5umW/v00H5t7WPiFgZzABaJdFtYHJFNy2FW/f0iBUJ4PUSSABydQJQNVAYAcCV7y1iYQDf/XlDuwbIUiH9hAd2Eso+s80NEuqzyJ1X0iKiCqAx0Td+vpzpjqMgHWKWwVmVpMHIWoOqh8LNFoU+4er/MBY74sHxu6eWH7ihS8PcEAFVVHYuHLR3PKa4aHopIIvUQoEygWOgp8o98Rok7TPenfaBObbi6MMmKkJhmxgt1lzw54wicQh+PptJdz4Q225jZWwwQ0b8FbG8hDWe2pTg8WGWOzIlCaHvGG2GBXV4fRKlu1r535gq2LQbvY2nfgw7AqQ88/b0/kZo0L1pDPVmUBkdkv0rRRSJYDAFGg54EDgvRc18eI2F5/9RgUJ0jNLsys2sPUmrahYMgV0YoBOkEiCRLfbSZa1PJrvI6Cys4kAHA4kQjU/E6j5pn5IMFwvPz080ryyo1aa9rhO+2tc/s4LMbevxU86oV9yocDdUYnRWQ1RK4coFyIEfgLPtYappgNVzVDVbLCq46jZkw5LwJxYzYSnsZqLo4dBmaDTpN4pTVJwgxH8+OECvvvjAsKUgsgSOPngkk4NLGGBGm2ZStv6trMLaRCZ968PSwtbJ8fRoDtXQWgAb78kB+7pUvfWfZEFmrbG+LTBp1T+shqVkgWe0go+pVQBqCckfuOiJt56RhOEizSozAJPDshEbSLONh4DItRbBPAEgnO0uESdE0wKggYnCBOiAlFOEHMVQEYxQSsimGwRjNUJRurAeF2i2eIIfKDa1S837Yj58asumPbQOoc65ouXnYkwbH134ZYdS2bWdpf6e+uoVRqgRKDe8tFouZDSyLopYDuMa0AbqQbDgvDUJTEWO1UWJfqCS/IWnUBqMoTgjocCXPXFKp7b5imHelrXJM2UgFDk29Daspa2S2JTcPlEySE48OksPPIngsWnHCm+84+tdh5jvdMTAW3gRhvIgdTaC+2uTLXiUE0SRFlP2Dy5ROqqUK0ky6HyloRInLAwwuf/bBx/yYAfPFAAGNeqnMYXpwrs5kombR+u/arrIBEOBKPKmkuJYuqqKNeEE/U9JiNgIlQGqatA0YolFs7rrJ939prvBn5wyGPLDvXE//e5a/DRPzrv8fn9/n+l/PHaszub+MFjwOBkghkdHIx6EIKAMeWLew6H5yZwXWO5YziOstK+FyEoRfD8GK6veiUZEyCSp0yKXX9CiP7+LsFtDwb4xN9X8exWT5W+UgvUNjVoLDrVpbAU8HQjsaPrlNPSWGp17Bheu42TtrOLNudt+HCqeVqScrMZR5u9fioPnstUWu/JLN57us+leG6SnYjWZ1LP5cWUYHkHOVYo527JnItlGIvsJJZpLJMOjeISvT0Cq5Yk2Lmf4cWtuq7VpN9z9QRaAzoSQEsAsQAirihHwpWProNlLgmUFhXRPEyWl4gFAXFjnLlqDG9dMw5BY2zaR7Fq5an7duwd+50Lzjk1PhSOD2nBAaD/uCUYGxnF575Vwz2/EJicDLB0tgBvACcsJAj8BJToeZNOAteN0lnvvhvBcWNQV2BwmOChxxwIwQCislOL53CsWhKr+Fhf4WAONFNBzG0PBPjvf1/FM5vbLTdrswSHy1i21Xa3c97TUFE5UNgAaPPLpxZYHYJaPEIrPkW/z9pnmAQTYBpgpP9H6IzhNFlOQVQ7YbubIgWFoMYHh64+1JXa1AScAJFCvRYAqASNBE5YGONv/2QcEsD3Hwj0gbYCbA4gUcd15dIYi+dwJFyd9FwQPLTRw9CwqxIrzAVcD7H0IaQDw365QoI5QKcvsWIhw3vODbB4LsdwfQJPbHMwc+FieH7nYY/rYQEOMivcebD5hyP1E28I+KbS4gGGmV0umiHFRCOE7yVgVMB1EvhuBM+N4PshGAsx2RB44SWGG+8v4cXtLjY+56mWKqhREwOzEyxaEONt61q4eG2Izi4OEitISArc+ZCPT3xZW26vzZ9IaSiaAzd0cO/qWzYNY2Jn/6ZIiVm+dTvPfSjnY7pqwSMGdVtqfsoDrbcwvc9tDWmVyDraU66c6ObfTJQpbYhI68OV3ISRmiCmQz/3nISQqoqbSKn9dQkZSZy4MMZnPzIBIYA7Hw7UBycAjQlqXRyXrA1x6boWjluQYGBWAsHVkeESePo5Fy9ud3HT/UU8t9PHRD0ApxzcC1CHC0YIPKrwUilIBMzDll1FNFtVzOqewCVrF9THHPmHY2J2eFgIH+7JzVt3o1wu9Wzdtn3Dddd9c1a1RNDXxTCrJ8Gs7ha6OxqolBooBi0U/CYKQQsHxhLc/FMPN99bwku7fQxNegg5g0w7RSQgOQg4iOToKiVYe2KEX7+oiSvOD+H7Ej9a7+Fj11Tw3FZPoZVagaR9X+t5qxS9OusDoubq2J3y6aBYvc/M32RtLkt2H1ZRFckVYlGiZHvV81oyIXer6pdNWtneZ6vLpu9hKfUa5V2jDZkfeqs/Y6rGaySkzQRoXbWpM8kmqWYPC7DlNvJSeO1aM3ZyTaT6jlQ3l6S3FCA+wTNbXXzsmgp+vN5H4Eu85/wWfuOiJtaeGKGrqFkWydTJkWa7lK7g0CTw0l6Km+8t4aZ7q9gzUgL8AlzXR6cH9BYEessSMzopZnS76O1g6O2iuOxd7987Y+bcla1mfbDSMeeVWfAFA70g1B08uE9ecelbT/7pzq2Pu92dEt21EB2VFsqFJkqFJkqFBiRt4ZltEv9wSxX/dmcVkfQhqKPGYaficToQEQmkiCFFjMEGwQ8fofjZ4y4276zj1OUJrvpSGS9ud1XWrH2wpqn2Ma4J1Zw3kIpmUuRdk0Nx31lwaImKttOFbZYgRyNaZoLkXoX0Mx3afGcvnyITMcW6Z4GmSepkmUxkSq9WYKo0TEg+AJXS4sUxJfi0+zsJ0dYayoITKXXwqkk8KdT9SGLF/ATX/PkErvqyxOrlCf74txrocDmokOCxmuPJuQsuWPo3TEdXd4mjd1mM05ZN4IQFEb7yHxE270jQ4AIjMgAjRBsoASEjjE9IDCxYGw+OiCvmDNQGXVk53FE+PMAp83Bg/w70zx3YHbjNLQGeXlr2h9FVDVEt1VEqNiBECy/sSPC9ewu4/p4q9o8UkbAAcDxdLqpKRgHd3yklpEgAnjUv8URgrEWwfqOL0TrB/kETuNgXGjsCtzaNLruRwaTkGeQUlyT1w2H730j35QMukjuvSDuMyfQuShvUj2y1ATqlTCzg2u+eJkXsmI4Y4aXMjTFCTKlvTjJ/XeiOHQKSNkgIqANFzABMGG4802FRDQrqMxLdgTGzl+OC1TGWL0hQKwjQRKmgJdxFnPhIEhcJd8CFoiABpFWjDlPExO9cFOKStYP49j11fOcnNWzdW8X+ySIasYOJiGCskWD+rDLmzD1uy9y5c3dv2boDixbOe+UAB1RN8+j++7f7bufvL148cH88/hz2jkg8uTVBqRDhoY0ubnuwA5u2l8F9H8Tz4DAXLiMIiKq7ZkRVxnBJEAqKRuIillB8aRSDCom3nBbhy1dNoLObI2wSfO3mkuZ4prPe9qYm+GaSxxblZ5oY0Ga9kb8o2LUi7fcNWG3gm39y1t1mw9pRfhi0y1zik6RItoPMrIZFB5q5pof2cyADf85y2zJwhGh/OlPJMnoracAptAAblVn7G4Ruo1MgJVKdTYQB3/lRAf/rq2V0dgt8+a/GcMGaFqhDIGI1pLYV+YgTF5yzLDWfulFcg9xDVznER38zxDvPOIBbHprAA08X4fo+9gwVsXWng3POXorxevz737v9oe2XnHfSy9qNlwV4T28/pJgASHnvgd31B/5jffnsr94q8eyOIhIpFfshHZCSC5c5CBhBkUkETKgxIDQL5qSUiATBGCUYlQxJi2KgO8FpKxv46w9PYMncGFIQXHpuiNseDLBv0AU8G2K25c44MKNvwtpS8qwdyJBTA0pDf+X2TaXWbCBPj9fsRUS27ZsO2Id7Qh76BTbgzeM0sEzBbAWeMFx6nmFRdSlQOuN6bg+hgJTCSgBJ61btU0FvNlOSusCegwx33udjsEkxuIPhT/9PBz714XGcfmKEWRVgsuGiFfpoRR6ShGl+HmkcYGYouY6LOHHhxjEWzIzw0V+L8ZF3j0MIhg1bxvG9h2bhtLULH7j8knP2Do420dtZfPUABwBCK7jngQdeqpb7vrR79K1nhxOPYVGPi311golYHXCfEpQdiaIjEDAJj6mGCBPUEW2cEqFGetSbwPw5LXz8d0Zw2elN9FQFRIuAuRJnrozwzrNDfO0WNwO3zaAgc08MLcgsWjAb2ipzPniuxqQN0OlpNA3I7de0P7Y9bTLlzlGAm0wFbzveM2ttKEOiH9v+uQF6FsxJKIusXI/shBDEuC+ZPz4lrS+lVbNCQYmwXBT1/rc94GP9Bh+SMMCneGGni//2ORfvOL2Oj70/RG+Vot4soN70kHAt/6ObYpgp1GMcrpsgcRx4roM4cUEg0Yp9DI+V4QiBP/m1NSh1l760Y8t9L81bdN6RQPfIAA4A/bOWoFisPnrJ2eKWbm/03bf/dDP2T7oAJQgoUHMESq5EwZGq84ep2TaMadAxogMXVTPe3dHElb82gveck8ClHuJQdc9DJuitcKw9PsLXbrPRYDvD5iCpL5CjBdtdkvR+mxyEBegU2NZ+8+BwXPZ0FYXTAfdIVt5VsZ8gOV8krZa13RTLYqcnhc2Fk3ygKTT4iZZ8gPbT7WCzPfCUWvDBuDWQmjcQBD9/xsPBMUfX5buQjOHAOMP1d5dRjyfxB+/w4KCEsUlHFdUSUxUos0Qh43ATBu7psgCPwKEcBAy79vsYai7H2nlrbukfOOHRuDn+8gf0aAG+9LgZmBjbu73/9DV/+uILG9iMXvqOjtFhTAyV4Rc8lFyJsidRcKVuawNcrW3h2LcOwaxuByuXxFi3pIz6pAdCEl2rEgMOwESMSlGgVhIYa5gfvt3/brPehv6zfHDadj+13gbYtnti4avdLzc3U1rWDgXio44wLTwfcl8GdKk/mF1cayx2BnaR5871B09fp8FNLNAT3ZUPu8pQl9NKYXx3kkpTEAKM1QnGG0ZYydXDvHwQX119128sobtIsXJhEYwqJaq0j9eRcDXAI5fBS7gKQiHhugkKwSR2DoYIeRcqlfLtPf2r/3TTlj07liya83KH8egBDgCV2iw89PD6HcuPP2kjkYPvePvpe3DdvRwbN/Wg5ElUAonABVxHDbJyHaK6gBiF6wK+SxH4DJ1Vhr7OIg6OdCPhdZQKzTSyJkTAFRxrT4hw7qoItz3gq17LXIJHN/kiCy6ddnCjraGBIEtdW4BOG26no//QZtExzWvaToTXatkB5nTATy25eWC7NqZ81lhZA2ItxUZlRiGmLIuA1jE03JYqB8jXlBvfXJ8ELsF9P/Pw2EZPJw/UxDri+Cg7FN2+QG/JxcEhis0uQUeVohgAvqc7whwJ16GqYC+W8FyqXRiJgh/hvg0U/3x7Fy5aOw/vfNvJG0f2PbJj6fLTj+o4HhXAAWDu3JmodMz6LMLtCxvjW39jstFAzZfoKEiUAwLfBRxHWWwz9cp1CDwN7lJAUSsplaxmyFAIPS20byY0JBCSoFIUqBa1uUpNZxZcUqJwbwN7+qlo1sBZWAA3cQGQc1NsPzyH8vYd0wG63eQfFZpf/jVpml7N0zYqb5kQZltwSezHVvublFRZeKmahFPBIp3hhDSC+kgtfLop6Kdc+3hDNf+mBUTUhUcpqo5ExZMoeRJSCIzXE4A6iBMl+eelV3qpDaGE51BEsdIc9L0ERbcOz+9DrXPRd+cvWvnZfXt3Hy1cjx7gA3MX4MnHfjS2fOHS3/vbb66fEzacs2bXBLrKBIGvtFOy2ZHKJfEcCs9TX6wUAAVfnb2QBJwTJEINMDVlmpAErZCgGdnmNas/MY0M2VSGqa6JHVDahU2p742poM5RgGSqpc7hdlqfOdt5tPg+1M72kll1J0fVZCcIQb7Dx/a9YQnU67Q9tFunxPO1Hy6Q8uLGVcl0VVRNiiRUy7YRFFwB3wNQJ/q3sQfpqg8Wc6AZciXYIwEhGGJOkDjQ6gwMTPvkrkvRipSga60scfm5/MGO7qW/9x+33t14z7svff0BDgAnrb4Id933VOPcde+PBnfejCQcQ6nAdCBJLHCpFLXSUyEo+EBBdwW5WivFon5T/5ARiYef9HDPE7rIKldYpa03gTVXx2pogG3N5VRQt1n1Q6JRA6Y9IE1fPo0Rn876H04+Qh7Jfpm5KsQ8zjEtCuxT3sv42kRm1t8kesxhl0jBTbVAj+oKokrSAWratSBSiesb1VpdqMUjireeEmPdqgg331tMj7I5Dqo/FEgSiTCWcEOeuoRCMAgXYNyqvISOoxjDyDhB/+wevOPiyyJCo0ZH79GD+xUDHADOOHkBhBA/55NrTn9u4/pCkiT68pLNVwH0DBWXIPCAwJPK//JUYMGs8ljAAE/qSx/FaN3Rpjfr0iEkL5xpB5imfiRlU2i7u5IHew7A7SzKy5jg1zCubAMm8leHQ/jggJXiT31tq29Tuy0K30THqMYPV29Mtd8NIZTnl44HB5ROioCRexNEgghVy5I2Q3CGWlGgVuLmbIEhLaWFg4QDUSwROqZVEWliyTEFWEJpJwoJhBGH6zpYtHxN0yst/fkr7ZKC+aqvZFWrVRQC/+q3nHvWF5Yv7W6NTDRRLRH0dQK1MkldFeV/q4Zl35MK5Gk3vjV+RLeqOQ7H4ATBU5s8QNrFVapbx9XKVHkZCKtoqg3cdmInVXiywDwtSNufOwxXSI5w39GvPLKn9YbaSXPr9cZsp+pSVtlt+8Q2JR1hJBxoNntTqoFjXFhTlAVTY1EkAxcMAMGqxRG6qjHABaQUiKWSgeBSgzvtzpHpFiccSSKRCIkokRibTDA4EmOynqBaHEe1q6e16uTTvwDiXF0slV/xUXzlpwYAPyiIF1/4/qeI3/F35erMaGBGEyceN4JaeQz1JlddIVRrqbgK2KobX8B1edrLyayWNcfl2DVM8MCTAcAtAR/CUtnjVNc7bWKQKbjZoSy3RQvaZS6Hwe70+w/nl7+GK2VR7MewWJPDLuN3Z9RhNi3ZTupYIDfANiC3bs19LvVjrlrZEs5AKMHZJ4WY2x0rMRPJEQsgFLrtzIA70cCOBeJEKH0TLYBfKQATrRAbd4TYto9jwbz+aPFxPX/3w/vu+VSpVBQv920Pt16xi2LW2Gg1qpW7P3PGKTw6eHDb3/zo8TG6fVcNAUvQ0+mCEgKXKRUsX3fkex5XQHd1ixvLphFzmWDD8z627TNqVUpfkFACjwK+rm9xtRU34D6sW6KfA5B2UrUHka8HSI92HTLZY54/7P/NAk/7bYzVJlDBJKHQDcVGw1zdp0Jpf0PXDZmZJcRI1WsDwYmaFKH0VBxEkYv5MyKsXN7CMzsLSBIXgrpoCYaQE3gccBOd1WZatzJWAaUUarZlR1Xi3BkhZs0cxc6DPWIknP03x3Uv+vz+oeHo1R7TVw3wt1z4Llx7w83NannuLc8O4a+/c8/PcFxPAQtmqYPCGOBq651tur3NSVSTMsva3LbtI/jmnRWM1n2g4EKN+lODWgMjmqkrBk2ddD49rytskXdLDkkDvhJkvw5ng2y7fdXLCt7T9yVI60AEFCVoYg9JjGuuJ1xSoSs+1eJWnMQJA+EClDDEkYuOUoIPXFLH+qcDvLTfhRQeWpyikRBliBjAYlOzTuBQxaJxoahHzgl6KgWsOmcIQd9iSYLeWyTf1TzrvN961YfhVQMcALizGMOye9OCga4r/+R9ha8O7XqchpGKjD1X+d0FX6DgcwR+gsBL4LsJPDeG5ypge26ECZ7gc/9WxYNPlpSELfUA5sChBEUqpyjD5sZut/Uv2oqqU0R87H2vFaCmw9gRvPnLWe0j/lvTvbf1nD3YKvXdSeYKUYpUpJ7q5mFJpp5uhOs2XiKV/AQXaDV9nHlSC3/522P4+Bc8jMQOEuJgkjpwOYETZ+l5k212HIEgoZASGJ2UeOw5H12z3imWzZ13ZaFW2QQ08FqsV+WDm/Xhy0/EuQvr0eW/dtq1bzsj/IsFCwIMjUdwGFD0JUoFjlIhQTFIUPBj+H4MXw+a9ZwInheCeiHuf9zDHT8vI4QPMB+gLhxCUaASPmsDN8u6XZxcV4w16346P/xI0QFMoetezXotTiQy5Y60ggl5yP+VBZnWaELjj+sBBlxYG6fpRGs11Zqp+1zfN1vCkHBVGMW4h7etDXHO6kl4vAXJWwi5wGRM0YhVTqMREjRCoN6SaLQEmiFHwiUqxSa4F+Cep9y/KNTOu3b3zp6IkHNegyP2GllwAFi2bDFGR3by445/9+atB5+a6H7pvkql0ERnVaCnGqJYiOB7iZJ7cxXAPVeB2/FauGu9g498oRv7hkuAHwDMA6MMAZMILHC7bKp7YujBnOSxlbiZwpa072i3oiaBOt3zcprXv4FrKsgPsdo+Y5rZJCQ15OacIIaH1l1AgkiwNHsJMKmk2XLCRNYJRQA0W0BvTeBLHx3DR0Bw188YIsJQRwBKKCQEuFQCnGGikj8gAoEbYWB2J9574XkTfXNO2rxz714+MDD/NTterxnAAYA5RezZx28/bc3aP64UnC/s3XZ3V095L7o7lVgQpBk1J7RbEqIYtPD9Rxg++vdd2D1UBrwiwHw4lKLAJApM9Vim2TFtwe2eSlsCor1I6uWW7fsat9WAYToW7liuQ52oU9S4IKcE0el3tb6wbKOB7CudlARUCjDNOakUvX00nLb3Vm8yq7OFz39kDJJQ3P4wAycMk8SDBEUopL7oCFQDgUbE0VmrYMnx5w4ft3j1nzXrzduLlZev8T6a9ZoCvFLpBgA0GhPfOmX1Omesf/KzDzx8W+9PNzaw7oQWVi8WiOIAEoDjxCgWQuwZ5vibf+3Btv01ICiAMg8eowioREB12a0NbiYtfRPL96Zp/iL/w8o8vdZea50CWT83nXWXx8haH3rJzDOxRCUwDbBJ2ymadtzLNsBDz/XRsQslMp3aJplU2j4AUiEfAICTSjJzzaVLSTCvr4lPfnAMT7zoYdeQi4QxTHKGOidAEmLd0jGctpxjZHIm1p583sEzTl/3V60w/lZPX99rfqReU4CbVSxWIOWB64J56+i2O/Z9+sZ7Hut9+LlJfP1je+GQAFICvisw0UzwT7eW8dKeGuCX4DkuAkZUw4SuM8mAnQ8snbQDfSpz0v6DqoL/qXUdxPxeVt1HVrdBplTzvZqA8LW4EuREoto+Sr5rSeZ4//zft/hvw4lb76f+L9EAt4qsdIumZCR9DykJJFM+PONM8eNcyfYsmNnAH71rHJ/7ToCROAALGCCAcqGBj72njnm9JcjqioPlWWd+YvvB5LqlA7XXBHvt6zUJMqdbhPThOzf87NrZvTOu+s2L+od5q4j9g70YHqsijHwwKnHvEy6uv6sLE1EV5cBFlw90egIVRyBwJHzdNOFYrImqUpT6Fhb4ia47zzZT9JWJ2KvPJgzodbmokvG1AZ4RDtMlV46F29KeWc2LEElry3j/bIy6VRYMnSZPg0kCnlAkCUWSEMTpfbXFCUXM1ZZwioQTdSuY2p8wxLGDMHbRDH00WgVMNopwWAnvvzjGeafUAS7Q4UgMlAVmVwJQVPDs7hXDPOm/anLPA9cuHai+bseNvfq3OPS66YZv4wMfuGhDd3dx56JZ7KINLwjfoUV0VBIIWcfXbw/w4Iu9qJU89AQSVVcicAwroidLmMDSck8cZm9qVifTj9uHSNmlTqb+OacIBaSItQPUTHrN7goyozSIVWdOcs/lHoO07c+P4yDmypOjNvPPtQ+iapd5bpeaU5SpTJNeaX2P9rXs6Q4mNc91tjJL3WfNyHmXxL56ZGkiLiiShCFOHMSJg0RPiegsc7R4ggc2VtDhuVgxGzh1sYD0Fk109/b+cSNsXH/e+b/+utqL18VFsdfqpUzM6fe/e8+Dc5IXdxb/df/QjmDlYoGHn6H44ROdKHo+ZhYFKr4qgoeEmmDLZTqryLgkrhbMcZhJ1bfPu8nmxSu3RKazYoQuQjLFYMLq7DbAFha7kOlu4xUHm6/1L0esTT22LDdMJjebMG2se3ZFkqmfzAVBkqgxIkJYALYzwlQdN5GOM7TdGasQSxJEMUOUKKbFcznixIHrCJx/8hjOPXESv3i6gFoJuPjsgdbu8bkf+vGTPTfNqDVeVRr+SNbrDvD+pR/A//7C9/hT2/pvumy1z+d2hf/20u6twffuL2KkXsVADegpCVQKagZnwiUOjhEkkQafpTLFjFvCSMaiMD0wtN0V0X4m5+rHibmpbiNIuFWCqv1NM2M61SeSeTfFBtkbug7h9+dcFEAP3zXlpsqKZ9WZ6rvwBFpKGUg4QZQol0PoDqDM3SHplUAoWe+0ux4yu4JA/10HEo3QxdBYgCQhCHyOKHZAAMzojnHFOWM4MOigs+/ElmQzf/tDH6jc8tZnhvnCE97/uh++19VFMesnd92A67/4dnnRpe97/qZ7nnrhuz9x3/7g49Ltq3iYVRHorhF0Vxl6O13MnUHR1dXAlkGg2XIQOGaSmxph6DCi+z1VEZfp8zS3LqM5H5xqLb6YA60ICGNVBMS1lTY5bNs65sS0UkXXzDUxVwp7ruW0LkrqlhzGRSGHcVHa7jPbnaFZeTA1sm7UGgZGs+EErt5n6L8oYWiGDK2IIUoo4kTNe89claw4y5S1yjS6VcZEzZMXKBViNOMm1j/tYMfeIpqhg5irSkTl3jCsmFfHey/qaCxe2Pu7515w5U19czaIiy993xsBvdffgpt10mm/ifd9dEiumtVxQ39/wTkD+786vH9vrVYCuqoOumsuejspls1rolQdxSNbizgw0oGOgjmYCsye7gJhNPO9qRVMUq3/Z6w458rSjE4KTIQErUQB25TYOlTqs5yk/LFxT6ar3DvC7rJXtshRXiFSK64bPayp0un0DTM6nUpIVzX9hpGDZsgw2aQwc5vsk8gen8gYgSNF2uoGCNCEwqGqda3oJ9g51MANDxTQ4UZY3O+ip9MB50r2gTGgUD5lrKe7548ev3vgBtn8a5DCp94g1L2BAAeAf7/mj9H7qW9g5YIZ/75gZqcLPvD53dte6HZIHTO6KOb0xejvq2Ok2UIrLIBRZak9BniO7vdkuudTH/xMINMGeyZ0SSlQKQkMhSEGhxKMN1w4DkFBZ0h9BrgwPqwZgX3oslTysjvyy8yfmW6113wdSXISU/6PtOg9aZUvqNp610hba/32ySbBtn1d2DNYQJKQjGq1yhyY5QI6AjogzXxxdZUzXfBA0RfgVGLnsETJj7QrQ1GtdqF71oKhYofz52PNwr+vu2znGwpu4A0GOAB86VO/BwAYGRn9puM4zsPrH/nMC8882NtVHkF/X4iO6ihufZRg1/4iZpUlAlem48M9VzdSaFowVXVNKUGqLI5xV1yCggfUysBZq+t47KVR/PNtJRxsVNEKXFQs9sQUbBnqcDqWxQbW4XYYluZIiq3M3z/Uak9MTUlG5RiXzII7TM+xcWP4boRyqYmJZoRv/KiGJ55hmF2LUC0xPaadpI3ijBE4AvokIeASYAJwOFFBO8vIeIc5GJsMMK9vEuesGsf1d5Wxa5hByhC1ajcWLz/74KLj13yc8+Sb5UrHGw01AMcA4GZ1dnag0Wh+45yzzyJzZ5BPj+y5s7e7vAdPbWni1od7UHI8dBcFygFQ8AmCFNzGWmeSxYxRBXYNbpepLqKCL1EuSvR2JDhuJnD6ihgVfz8+fwPHwWYXADfr6aQyBXYufz+dv5FmuKfIcapHLwPsoyn4Mssea2J/JosEtYJM1UTiOqpis1hoot6q43M31vC178/EQNmFjwSARJGrUd4ep+AOhcMAoWlaLvSEEgpwprpzEicrygIASgXKxSrevW4UT20awdObquju6MCpp519cOVJ6z4hJb5RrrzyjpxXu44ZwAGgWCxA8olrl604JRnqiq95asOtnf/vtwvYuaeKZTMEuspAMaDwNbhdR48DSfW36RT3xNVBqO8BgaeanD2XoxkxxEkBH35HHU9tHsX37gsQORU0GYUvpA6wlBiOkWAAkAezlQYn0/oU2vE3lVq2hsM0rwQOj+uc4L3VWDzFVUmpzsxNcfQIR8+J4Hst3PEzF1+/rQeu56Hoc0SJRDMU6RhyNYZQ91sKzU6JTCOdJgBlBCyRiBlBnOgtVoHogtkxrn7/GP7prrm48MyLR85Yd+pfNkL+r10dxw7cwDEGOAAQVoGU4bc6Zq4ZHnps66KVKwp/1xr/uTu7i6Kz6ukfTLMipmsfWQVcKihvJXtco7fhKm6dUQWJMGaoUg8fensdP3i0ifG4gIh7SFiW0Zzy+ZAxF9Mp0trW2k7nK9mGw8DXom0O1YCRDn+1gC6kTOOEKW+ZJoC00D3jcNwEk60E//z9brSSAnp0LRMXQJIAcaIUpggVmiMFhBb84VYpBAhAYnXMGQPciIA1CUbGGSYbBIFbwMknnB6/F4WrVp+6erPrl77fVX1DSLrDrmMOcAAgxBcPPrrp9jWrf8vzghcaqwacfwhHnyach3Rw1NHqR8olUUkKmfq4mQbLoSYmmEyeqn2OYwcDMyRcFkOGCbh0wXU3ev4z5bcsLZ6nBQ3F2F5RO6UGxPjl9t+wXqfeK+swTl9LLCsu5BSdQfNc+kcMl011EzflaMYSW/b5kA6DYxJhpkxBqm52KaRmVESa1aSUKHk3fcJyoW4pJfB0M/n+4RDlUkEsO/4CmbgL/+TyS5f8S2N8V1SqrjjWsALwJgE4AJy1ZjGe2vBctGxh77cqPv8pwpH3Pv380P+SI+OoFBmKgRpZGEZAMyJIEgUKR+sgMssS5ht2pbVfcQ5xrKUSpIBAVpvSvnId+bBS9IRMBb/5wwS5epZcsGq9b/v75xoyrOypSOWrVIaVtoloSrtaLJdSN00fiiZ0XZq7Wsj2eEPvSxL1hxgncBwK4qjvmiQSrYgjjAQYI/BdimopwfwFPYho3/8sV4+7gbizd+7ZNRzNGXhzgBt4EwEcAFatXA4AzfUP/suLlb7CZ0qFhZ50R69ujO5l/X2TcB2CfUMBmqEOgDSbErgSrgNwTtCK1OWXUaXSJA9Z6zqloStnTYkF5LRa0dSDpFlT0uaiyBRwqhpRWiCaGoi26yTafr19QRGqmRIEBFx3Kgk61X3Jf628VT/UCUypSZapursw4mp8t0PVvFGoGCcBMFHn2D+SgFBg1XE+Fi+ew8fjOf974KRZn/nZpt38v6w6Ot3AN2K9qQBu1ulnfRDPPn4jP/28Kz6578CwM7jrJ3/xyBOP+EE4CUYJhsYcCCFRKTlwigTlokC1xDE0TrFvWNGFhBAUOGnzVa1iE40mY+kyNa58q5vdyJz6+rRN2s3izYVUopVESD3yw7KW2tTbgM5RfG3nosm0GpUodTUi4ASgQmaFU9LKPhrdE2FlIaWa6GC/JwAd31B4LkW5yMCowK79CUYmgEpRal1JJaHGObB3iKNcIeifU0D/cWeE73rXWf+nVO355D9edzP+8L9ccaxhM+16UwIcAFaccgVGxyZRq45e3ddzLh1JFp2+6/lb6Z49rdP3Dw85jdDFcXOK8ByCjjLHwjlj2PAzgg1biljQ58B1XXCRpZjTVDZVkhVGUIgRAoe0dQS1p8ut5FFagqvRmNabW4Ef5TKVtTVkilqmAEan+WGyh5ncBWAXhGX/l1LoehFNBwoCxhUvba5U0qoKTMV7BIPkQBwLSKHmvgtTnkAU/x34DF1VYP7sJlpyAo9uqmDRDIFSIFHwgYGZdYxOtrD6xN5kz3Bx/R988BKBYMn6Z/bJq1uNCQTFypH9qMdgvWkBDgAdtZRi+sQdd9yBSveZlXU9w1+bPefZX//OnSO00UxQLgKzepqYO3MYYB72jwXorXDUIgecK6uXjdRT/aC7Bili7oEypioUqSUYZLkfWco6495NnQulWq1VSMRcQnKZytWl6q76BBE6SDP+B8ldFaR2E7JYAZyoOaqcaBk13fXOlDlXADdz6LUlTx+bTTcNcwcOpZjX18Le4QSRcHQFoSmcIvBcgkpJYEZnCEGa2D5cQtFjqBQFXCdCd1eMPfXZYu78lTeetqbrw9u2Dk6cd/6aYw2PI1pvaoDb67LLLoOUz08ASz7y/Na5Lz2/++kTFnY13t1T24hSYRyExKBUWe2Yqy4URWlJpb2iZSpacYxv/KCEyYbqMlFaK/kG5twYbStbqgq9lL/KtIXmiUQi1BTfJFH1GaZ2xoA7PRn0dzHuiTmBjCA805OCIwBRQhHF0NOBobOsmZtCqcyKo6yNS6K73ykSXZ9dKTn40Nsm8fSWJlrcR4sTxFxoVkR9TldPW4BU3ZdDrRA7DgBnrV2Onj5yy0m9p2+s80VfHCf1iQvOn3es4XDE65cG4ABAyDIAGNy1a/f/+NjvnzAvmnwWI4PBux/5xXOoN/cjjrJqPzNNwHeVmlbgxaiUm3j0OeDeR8sQ1EeBETVyRfd9mmGxNsBZDtzKX3VdIxMNJFyiEUpMNhMIrug51yGpBSeU6A51/R1gFzaZKQdK+ct1BCgFfI+iGRLUmxIJR6rxKKSKGpS7RcCpBGeZW2IkHxKqGxCYaULwcN7qOlYtGsf6jSVMeB46YoIoUZ+fC5PFVSftvO4EF6+romfGCsxffMItx52w7M+GRye3z57dc6whcNTrlwrgZvX3z4GUB7YDS/8yoew7m3ZNRPP6O/562+7hEx3E8JxAyzVzFIMElWILvZ0T2D/SxDU3lLF3rAyn4KLiIJ0p5DpZ0RGhRFfn2ZOJTX0LReARBL4qBSgGHMwN8exOpQRV8iUCT31ORgEmZG4glJ3coabG3VGydoUgQSngSESIDZs97N7vqTIFj8L3KSRYOmHZoRLCsZgUQdJ695hT0ISBUgeO48ENE/RWQ/z5e0fx0b0F7B3pQslhKIcCrUggjCTCiKDeBM5eWcLMGafi4rNPur8lnS92dC7esPNAvH3x/CMfG/JmWr+UAAcAQvoA4CUAL93943+ClF2bf+OdF93w/HMvLNq36zlWLnKUggSd1SZqlRF8/+cR/uXOKu57ogLuBqg6FCVXoOBIBDrzabh0my5MAaUtuO8qnfNSQaBW5ujvbWLpwkE8vj3Ahmc7MNDNFT/PlCSZdKT2vzOE21bc0VY88NTnnd1bxy9emsDdT3UgkBRzuglESWUE1ZVJ1YtwYYJLq0RFDxSAZKkUgBry5MEPfVy0ZhJf+Ys9uPYHLfzkyT6UXA+1AsfoeIywL0BH35n8xHnzXyptCf9g0bLT9gqJF4v+URXwvunWLy3A7XXBhX+AwcGRDUnCL+qpBXN6u9bcuHvrQ1VE20qlwihuXu/gSzfMRCJaoD5AJEPJUUOzyr6Ep4bFZR08eoaNYTmoFWC6jtI5LwUSlSJHRyUE81ogkmC0CfSEFJ4j4HECT8o2Hj6fiCFEpj645woU/Bi1ch2EtjBYJyiCoFaUcByec5MSroRcDcBtylIpUQFxwsA5BaUSnpsg4Q5EyLBgpodPfoCjUhzG3Y924DivE3Pm9tcvvPQt49VickWhOm/32pPZ9sD75Qa2Wb8SAAeAnp5OSCG3z5jRvTMKJ48vBmRdubDma7v2PFN+ZtvOjmV9I7j8LU18+gaBbQclPCpQ9iVqJQXahAOtSPm8kMp1ADJwpyB3oObJuAKBl8BzEwgICK4KmFpcvZcB35Rl2uFg/HFd3uoIeG4C343hugkECFoJQSsWiGKCJBZIXKp9ZpXoEvpNGDX+u0SSUDRDhoQTuI4DQiVKhRaEAHYedPC57w7gfeeU8MFLCxNrTlo+vGTRSqejRH9/9px5j9RqlTFAilcjOP9mW78yAAeU7wxAjAztG6nUZv/Qb940f+GS3/ndq//b5J8/8dhPoo7gKbJ0gC8bmBkGW3dEqBYIZvc48FyK4XGO0brASIOg6Ep0MmXF8w0UWXeRGp6k6q5jIQHBkQiBWLAcf60YD6o+W47nJrmkCyWqSYE5iZqbI5WVVvraSihepBtJQU4AuI5ApRgh8DlGJ3wcGPFwYISqJm44qJUFNu7sBUXQIl7/86G31D1jzanf+uAl7/vcjdde78+bXW1NTE6Kjo7XT77hWK1fKYCb1dk9EwBEvcHhUPoN3wuvcx2GsXg1+/B7qv/Q3TWy5B9v2n3WDDbIZvdGCMMEEw0OtxChpyJxYMiHHxJ0lLMJcYya2m8jyZBtRPvYqj4EafbRWH2W6w/NxnokPMs+Asb/10UnAHjKb+evBokAwlh1NglJUAwSuN4kdg4lgAgxPilxYMSFkC7K5S4sKc/k+8ePf/D4gdKLv3vZ5JXjE5I7bgG/uOtG2dM797WRcX2Trl9JgJtVKqblmgYeyc59ox92Pa/z/7ly+G+f3/BTb3zkBT44UT5lwXHOqTMa23HOiQdx/b0Mmzb1wGEE1TJDpUhRbwmEEUXBBF3G96Vq+hilqmZEpBZZWXrPofA9ClfXenBhqvKUTx0nerKZrgIEVPIImh0R0g56CXyPgEBgbFIiSQiqRQmHRXh44zi+dXcX3nueh7kzelDqoL/Ysqv1uFNazAaWnBOtWNPx38GjEeL88lF9r2b9SgN8ujV3ZgcAjAD4IwB4/un7QSk5Z/9Y86JtO1Zc0T2jvvS3374HX73+APq6GWZ2JeiujeLxFzgarSq6al460wYAHCpAaALJAcnVlDJoCtBzKYqBOkEcpqxu2JAIY46QEhDCEHgklXIgkKBMgjIBEnMIrpxsxcmrmpKOUoLRZgPP7xCY3VVAd0cJHAJ+bQV+7/JZWHN88MJEK7ixGVZ/NHOuvP9tF5+F3z3WB/0Yrv90AG9fy048BwDuHxwcvn/5EjxACV+URHtFz523ihXLZi1Ytqjr4zJ+DmOcYniwAYphHBx2UfQ5CATqLY4f/cLFS/tcdHc3ESVFpdVHCQKPoVYmmNWToFwQ2H2QYe8gx95BjlKgLiulgIELlbxxnAR7hwQWzkhw6RmjuOuRIpIESGKOwJeYaMQQpAuLFs/CUCSwdsUCuGTsM8TZtXXdmovpnJm9tFh0NwP4YanUeawP7Zti/acHuFk9PV0A8EPz+MCBITDmddQn9q4fHWyhv5/EZ67p/GgYJxdO1B30dnCM7n8UuwZj/MdDNaxe7iEhEdY/CdRbCcKYgBKGrgpHV8co9o4QuK6HyaaE60fYOeRASB+1kg/BYzDSAqHAY893Q4rZeP9FTWzdy9BX6cal55+Cmb0u6i0JzumPK6WJa+oJ3DWnrsLC+bPub7bC0c6u/1yux5Gu/x/gh1h9fd0AMArgNgBo1XeDAM+PTiYzwoiJgpdg+MCLaIQB6mGA5fMYdg8240//6epPbXipeZkrknigz8OCORyTcR3DB3wsnClxZlFg7gyOjdspwoaPBbNczJkRIyhH7uaRyh2DY/d+anSi1z1p6SC6qg5m9lSx+pQT0FnzECaSNlpsPwG2vvX82cf6EP1SrF8NNv9Nskb33wtGMePbPx6qxfVYzulx0d/HsWeshee2FrBibgIJgaX9Ek/vkBgc8tDf42JWTwzmJuSZXQvGKJH7f+vys471V/mVWf8X04PwcJwQtW8AAAAldEVYdGRhdGU6Y3JlYXRlADIwMjAtMTEtMDdUMTY6NDY6MTQrMDA6MDD7KDx6AAAAJXRFWHRkYXRlOm1vZGlmeQAyMDIwLTExLTA3VDE2OjQ2OjE0KzAwOjAwinWExgAAADl0RVh0U29mdHdhcmUAbWF0cGxvdGxpYiB2ZXJzaW9uIDIuMi41LCBodHRwOi8vbWF0cGxvdGxpYi5vcmcvSM8oowAAAABJRU5ErkJggg==', 'weight': 4}
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mf_hecke_traces • Show schema
Hide schema
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id: 29996605
{'hecke_orbit_code': 9007336760803377, 'n': 1, 'trace_an': 2}
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id: 29996606
{'hecke_orbit_code': 9007336760803377, 'n': 2, 'trace_an': 1}
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id: 29996607
{'hecke_orbit_code': 9007336760803377, 'n': 3, 'trace_an': 2}
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id: 29996608
{'hecke_orbit_code': 9007336760803377, 'n': 4, 'trace_an': 7}
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id: 29996609
{'hecke_orbit_code': 9007336760803377, 'n': 5, 'trace_an': -16}
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id: 29996610
{'hecke_orbit_code': 9007336760803377, 'n': 6, 'trace_an': 4}
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id: 29996611
{'hecke_orbit_code': 9007336760803377, 'n': 7, 'trace_an': 0}
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id: 29996612
{'hecke_orbit_code': 9007336760803377, 'n': 8, 'trace_an': 30}
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id: 29996613
{'hecke_orbit_code': 9007336760803377, 'n': 9, 'trace_an': 23}
-
id: 29996614
{'hecke_orbit_code': 9007336760803377, 'n': 10, 'trace_an': 16}
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id: 29996615
{'hecke_orbit_code': 9007336760803377, 'n': 11, 'trace_an': 8}
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id: 29996616
{'hecke_orbit_code': 9007336760803377, 'n': 12, 'trace_an': -14}
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id: 29996617
{'hecke_orbit_code': 9007336760803377, 'n': 13, 'trace_an': 56}
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id: 29996618
{'hecke_orbit_code': 9007336760803377, 'n': 14, 'trace_an': 0}
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id: 29996619
{'hecke_orbit_code': 9007336760803377, 'n': 15, 'trace_an': -64}
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id: 29996620
{'hecke_orbit_code': 9007336760803377, 'n': 16, 'trace_an': -41}
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id: 29996621
{'hecke_orbit_code': 9007336760803377, 'n': 17, 'trace_an': -54}
-
id: 29996622
{'hecke_orbit_code': 9007336760803377, 'n': 18, 'trace_an': -23}
-
id: 29996623
{'hecke_orbit_code': 9007336760803377, 'n': 19, 'trace_an': 110}
-
id: 29996624
{'hecke_orbit_code': 9007336760803377, 'n': 20, 'trace_an': -224}
-
id: 29996625
{'hecke_orbit_code': 9007336760803377, 'n': 21, 'trace_an': 0}
-
id: 29996626
{'hecke_orbit_code': 9007336760803377, 'n': 22, 'trace_an': 16}
-
id: 29996627
{'hecke_orbit_code': 9007336760803377, 'n': 23, 'trace_an': -48}
-
id: 29996628
{'hecke_orbit_code': 9007336760803377, 'n': 24, 'trace_an': 30}
-
id: 29996629
{'hecke_orbit_code': 9007336760803377, 'n': 25, 'trace_an': -131}
-
id: 29996630
{'hecke_orbit_code': 9007336760803377, 'n': 26, 'trace_an': 28}
-
id: 29996631
{'hecke_orbit_code': 9007336760803377, 'n': 27, 'trace_an': 200}
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