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mf_newforms • Show schema
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{'Nk2': 1856, 'analytic_conductor': 3.7050586537874097, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 29, 'char_degree': 6, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 7, 'char_parity': 1, 'char_values': [464, 7, [175, 117, 321], [7, 7, 6]], 'cm_discs': [], 'conrey_index': 49, 'dim': 12, 'field_disc': 9219531410228881, 'field_disc_factorization': [[7, 10], [29, 2], [197, 2]], 'field_poly': [4096, 3072, 3328, 576, -80, -140, 197, 35, -5, -9, 13, -3, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [4096, 3072, 3328, 576, -80, -140, 197, 35, -5, -9, 13, -3, 1]]], 'hecke_orbit': 8, 'hecke_orbit_code': 31526571814683088, 'hecke_ring_generator_nbound': 9, '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, 29, 4, 1, 7, 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': '464.2.u.h', 'level': 464, '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, 29], 'level_radical': 58, 'minimal_twist': '58.2.d.b', 'prim_orbit_index': 4, 'qexp_display': 'q-\\beta _{11}q^{3}+(\\beta _{1}+\\beta _{3}-\\beta _{4}+\\beta _{5}-\\beta _{7}+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c7', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '464.2.u', 'trace_display': [0, 3, 0, -1], 'trace_hash': 631598398307461820, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '11.676', 'prec': 20}, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 1, -1, 1, 0, -1, 0, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, -1, 0, -1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, 0, 0, 0, 0, 0, 1, 1, 0, -1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 1, 0, 0, 0, 0, 1, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, -1, -1, 1, 1, 0, -1, -1, 0, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [4, 1, 4, 4, -4, 1, 4, -1, 4, -1, 0, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-1, 1, 0, 3, 1, 0, -1, -1, 3, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 1, -4, 0, 0, -1, 1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 4, 0, -4, 0, 0, -1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-4, 0, 0, 0, 4, -1, 0, 0, 0, 1, 0, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 1, 0, 0, -1, 1, 0, 1, -1, 1, 1], [0, 0, 0, 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-2, -8, -12, 12, -2, 0, 4, -12, 0, -2, 4], [4, -3, -8, 4, 0, -2, -12, 0, -8, 2, -2, 2], [15, 2, 3, 15, 0, -3, 15, 0, 3, 6, -6, 3], [24, -1, 12, 8, -8, -3, 24, 3, 0, 1, -2, 2], [-12, 0, -8, -8, 12, -1, 4, 0, 4, 1, 0, 1], [-17, 0, 0, -13, 13, 0, -13, 0, -13, 1, 0, 0], [0, 3, -8, -11, 8, 6, -11, -4, -8, -6, 3, 0], [3, 0, 15, -5, 5, -3, 3, 3, 0, 0, -3, 3], [12, 0, 9, 0, -8, -2, 9, 4, 12, 4, -2, 1], [-12, -1, -12, -12, -8, -1, 0, 1, 8, 0, -1, 1], [2, -4, 2, 2, -2, -2, 2, 4, 2, 6, 0, 6], [0, 3, 8, 0, 0, 1, 12, 0, 8, 1, -1, -1], [12, -1, 18, 16, -16, 3, 12, -3, 0, 1, 2, -2], [-4, 1, -16, -4, 0, 4, -8, 0, -16, 1, -1, -4], [0, -4, -4, -12, 4, 7, -12, -5, -4, -7, -4, 0], [5, 0, 0, 0, -5, 0, 8, 0, 8, 4, 0, 4], [-8, 0, 5, 0, -12, -5, 5, -3, -8, -3, -5, -3], [-4, 0, -4, 0, 2, -10, -4, 5, -4, 5, -10, -1], [0, -8, 0, 0, -8, 0, 8, 4, 0, 3, -4, 8], [-4, 0, -12, 0, 12, 4, -12, 0, -4, 0, 4, 0], [4, 3, -4, -4, -4, -3, -4, -3, -4, -5, 0, -5], [12, -3, 8, 8, -12, 5, -4, 3, -4, 1, 0, 1], [8, -6, 8, 8, -8, -7, 8, 7, 0, 6, -1, 1], [4, -2, 20, 20, -4, -3, 4, 2, 4, 4, 0, 4], [8, -5, 12, 8, 0, -1, 12, 0, 12, -3, 3, 1], [-13, 0, -13, 3, 17, 0, 0, -4, -17, 0, 6, -4], [-12, -4, 0, -19, 12, 0, -12, 5, -19, 5, -5, 4], [-8, -3, 0, 8, -4, 0, 4, -7, 8, 6, 7, 3], [9, 3, 8, 9, 0, 0, 12, 0, 8, -3, 3, 0], [-12, 9, 0, -12, 0, 3, -4, 0, 0, -5, 5, -3], [4, -5, 5, 5, -4, -4, 4, 5, 4, 7, 0, 7], [-4, -2, 0, 8, 16, 0, -16, 2, 8, 3, -2, 2], [-9, 4, -9, -9, 1, 4, 0, -4, -1, 0, 4, -4], [0, -3, -8, 12, 8, -4, 12, 6, 12, 4, -3, 0], [-3, 0, 4, 0, -8, 0, 4, 3, -3, 3, 0, 3], [0, 0, 4, 0, -20, -2, 4, 0, 0, 0, -2, -4], [-12, -2, -12, 12, 3, -2, 0, 0, -3, 0, 5, 0], [-4, -1, 0, -4, 0, 1, 4, 0, 0, -4, 4, -1], [0, 6, 4, 0, -4, 8, 0, 1, 2, -8, 6, 0], [-4, -1, 8, 8, -8, -1, -4, 1, 0, 1, -4, 4], [17, 6, 20, 17, 0, 0, 24, 0, 20, -6, 6, 0], [0, -1, 7, -13, -7, -4, -13, 4, 7, 4, -1, 0], [8, -3, 12, 8, 0, 2, 4, 0, 12, -2, 2, -2], [12, 0, 8, 0, -4, 3, 8, -1, 12, -1, 3, 0], [-4, 0, -20, 0, -2, 2, -20, -11, -4, -11, 2, -5], [0, 2, 4, 4, -4, 1, 0, -1, 0, -2, 2, -2], [0, -6, 8, 16, -8, -3, 16, -7, 16, 3, -6, 0], [-8, 0, -3, -3, 8, 4, -4, 0, -4, -7, 0, -7], [0, 4, -12, -12, 12, 1, -12, 7, -12, -1, 4, 0], [-12, -8, -11, -11, 12, -8, -16, 8, -16, 0, 0, 0], [-12, 9, 8, 8, 12, 3, 5, -9, 5, 0, 0, 0], [-1, 0, -5, -1, 0, 0, 3, 0, -5, 1, -1, 0], [12, 10, 12, -12, 0, 10, 0, -1, 0, 0, 5, -1], [-4, 3, 12, -4, 4, -5, -4, 5, 0, -3, 4, -4], [-11, 15, -12, 0, 0, 11, -11, -11, 0, -15, 15, -15], [1, 4, 1, -24, -4, 4, 0, 1, 4, 0, -5, 1], [-12, -4, -20, -20, 12, 0, -20, 4, -20, 3, 0, 3], [12, 10, -4, 12, -12, 12, 12, -12, 0, -10, 8, -8], [0, -6, -4, 0, 4, -4, 0, 3, 6, 4, -6, 0], [-4, 3, 8, 8, 4, -8, 8, -3, 8, 5, 0, 5], [-12, 9, -12, -4, 8, 9, 0, -11, -8, 0, 2, -11], [-20, 0, -16, 0, 20, 2, -16, -5, -20, -5, 2, 3], [-12, 0, 1, 0, -12, 11, 1, 1, -12, 1, 11, -5], [12, 0, 9, 0, -4, -1, 9, 6, 12, 6, -1, 4], [8, -6, 0, 0, -8, -12, 5, 6, 5, 4, 0, 4], [-5, 1, 3, -5, 0, 4, -5, 0, 3, 7, -7, -4], [-20, -2, -4, -20, 0, -1, -8, 0, -4, 1, -1, 1], [-12, 10, -11, -11, 12, 5, -8, -10, -8, -6, 0, -6], [5, 0, -8, 0, 0, 10, -8, -8, 5, -8, 10, -5], [-4, 11, 0, -12, 4, 0, -4, 1, -12, -6, -1, -11], [0, -9, 4, -11, -4, 2, -11, 3, -16, -2, -9, 0], [-12, 6, -12, -12, -12, 6, 0, -6, 12, 0, 11, -6], [-20, 3, -12, -12, 20, -6, 0, -3, 0, -1, 0, -1], [8, 5, 0, 4, -21, 0, 21, -9, 4, -3, 9, -5], [-4, 6, 16, -8, 8, 1, -4, -1, 0, -6, -1, 1], [4, -3, 0, 13, -20, 0, 20, -1, 13, 10, 1, 3], [0, 4, 0, 10, 0, 4, 0, -4, 0, 0, -4, -4], [8, -9, 8, -20, 4, -9, 0, 6, -4, 0, -3, 6], [-20, 0, -4, 0, 4, -5, -4, 7, -20, 7, -5, 4], [-12, 0, -12, 0, -10, 7, -12, -1, -12, -1, 7, 0], [4, -2, 4, 0, 11, -2, 0, 1, -11, 0, -8, 1], [12, -10, 12, -12, 0, -10, 0, 10, 0, 0, -2, 10], [20, -8, 0, -4, -4, 0, 4, 0, -4, 2, 0, 8], [0, 1, -4, -4, 4, -4, -4, 7, 8, 4, 1, 0], [-4, -16, 0, 0, 0, 0, 0, 3, 0, 1, -3, 16], [0, -10, 4, 8, -4, -5, 8, 2, -8, 5, -10, 0], [0, -2, 0, -8, 23, 0, -23, -2, -8, 3, 2, 2], [0, -2, 3, 7, -3, -1, 7, 7, 19, 1, -2, 0], [-8, -4, -8, -2, 8, -4, 0, 6, -8, 0, 0, 6], [-4, 2, -8, -4, 0, 6, -24, 0, -8, 3, -3, -6], [-15, 3, -12, -15, 0, 0, 20, 0, -12, -1, 1, 0], [16, 4, 8, 16, 0, -1, 0, 0, 8, -7, 7, 1], [-28, -2, -24, -24, 28, 2, -20, 2, -20, -3, 0, -3], [0, -1, 3, 3, -3, -8, 3, 7, -9, 8, -1, 0], [-12, 0, -8, 0, 28, -6, -8, 3, -12, 3, -6, -2], [4, 1, -4, -12, 12, -4, 4, 4, 0, -1, -12, 12], [13, -8, 13, 8, -16, -8, 0, 6, 16, 0, -9, 6]], 'char_orbit_index': 21, 'field_poly': [4096, 3072, 3328, 576, -80, -140, 197, 35, -5, -9, 13, -3, 1], 'hecke_orbit_code': 31526571814683088, 'hecke_ring_character_values': [[175, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [117, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [321, [0, 0, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 443456, 1773824, 443456, 443456, 1773824, 110864, 7095296, 443456, 1773824, 1773824], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 4, 0, 0, 0, 1, 0, 0, -1, 1], [0, -1, 4, 4, 0, 6, 4, 1, 4, -1, 0, -1], [4, 1, 24, -4, 4, 12, 4, -12, 0, -1, 14, -14], [0, 18, -8, -52, 8, -17, -52, -49, -56, 17, 18, 0], [-72, 0, -140, 0, -124, -153, -140, 43, -72, 43, -153, 175], [-88, -247, 0, 612, -440, 0, 440, 468, 612, -234, -468, 247], [884, -335, 1872, 884, 0, 1782, 2808, 0, 1872, -1142, 1142, -1782], [2560, 2666, 2560, -5908, 4568, 2666, 0, -5771, -4568, 0, 7849, -5771], [-8312, 8331, -20732, -20732, 8312, -16862, -31396, -8331, -31396, 12417, 0, 12417], [-49668, -20729, -67448, 33324, -33324, -58342, -49668, 58342, 0, 20729, -89754, 89754]], 'hecke_ring_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [293952, 163104, -16252, -53096, 50792, 1185, -1945, -233, 1067, -291, 97, 1], [-838912, -244288, 592832, 6384, -70768, 4093, 7123, 443, -3473, 1469, -435, 53], [324672, 274224, 39372, -66491, 5981, 25423, -8945, -307, 1137, -79, 40, 30], [-54272, -250432, -105168, 140576, 2656, -15837, -1587, 1317, 177, -749, 195, -69], [1298688, 1540352, 490080, -241200, -81487, 118748, 30394, -28698, 12256, 750, -250, 325], [1024, -72720, -39944, 4207, 13254, -12733, -247, 495, 57, -269, 76, -25], [-3739648, 4524800, 289408, 419888, -880016, 265585, 31327, 46567, -72085, 37297, -9535, 1961], [-122880, 232512, 174384, 22092, -64091, 10181, 19513, -9995, -157, 1407, -469, 130], [-1331200, 300288, 458752, 302880, -215200, -35987, 54723, 19019, -27073, 15181, -3475, 725], [2008064, 2440960, 500352, 210032, -144192, 151369, 30183, 9327, -14093, 13609, -2951, 913]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 12, 'label': '464.2.u.h', 'level': 464, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1856, 'analytic_conductor': 3.7050586537874097, 'char_conductor': 29, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 21, 'char_orbit_label': 'u', 'char_order': 7, 'char_parity': 1, 'char_values': [464, 7, [175, 117, 321], [7, 7, 6]], 'conrey_index': 49, 'cusp_dim': 324, 'dim': 84, 'eis_dim': 72, 'eis_new_dim': 12, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 1374423089616, 'hecke_orbit_dims': [6, 6, 6, 6, 6, 6, 12, 12, 24], 'label': '464.2.u', 'level': 464, '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, 29], 'level_radical': 58, 'mf_dim': 396, 'mf_new_dim': 96, 'num_forms': 9, 'prim_orbit_index': 4, 'relative_dim': 14, 'sturm_bound': 120, 'trace_bound': 5, 'trace_display': [0, 5, -7, 3], 'traces': [84, 0, 5, 0, -7, 0, 3, 0, -17, 0, 15, 0, -7, 0, -1, 0, -10, 0, 5, 0, -7, 0, -5, 0, 7, 0, -13, 0, -7, 0, 5, 0, -7, 0, 7, 0, -7, 0, 53, 0, -10, 0, 1, 0, 28, 0, 5, 0, -21, 0, 56, 0, 0, 0, 19, 0, -6, 0, -108, 0, -23, 0, 11, 0, 10, 0, 15, 0, -7, 0, 23, 0, -38, 0, 4, 0, 9, 0, 55, 0, 3, 0, 35, 0, -42, 0, -71, 0, 5, 0, -9, 0, -59, 0, 55, 0, -10, 0, -140, 0, 49, 0, -47, 0, 5, 0, -19, 0, 28, 0, -107, 0, -15, 0, -78, 0, 98, 0, -4, 0, -85, 0, -46, 0, 16, 0, -167, 0, -35, 0, -1, 0, 34, 0, -19, 0, -18, 0, 27, 0, -11, 0, 55, 0, -7, 0, 101, 0, -35, 0, 23, 0, -58, 0, -99, 0, -38, 0, 59, 0, 77, 0, -15, 0, 21, 0, -107, 0, 19, 0, -34, 0, 2, 0, 76, 0, -52, 0, 55, 0, 1, 0, -91, 0, 1, 0, 24, 0, 85, 0, 32, 0, -3, 0, -163, 0, -55, 0, -45, 0, -59, 0, 163, 0, -47, 0, 73, 0, 17, 0, 33, 0, 41, 0, 190, 0, 73, 0, 115, 0, -67, 0, 9, 0, 98, 0, 141, 0, 9, 0, 226, 0, 22, 0, 67, 0, 89, 0, 77, 0, 57, 0, 341, 0, 84, 0, 15, 0, 58, 0, 51, 0, 89, 0, 144, 0, -94, 0, -11, 0, 28, 0, -159, 0, -18, 0, -61, 0, -12, 0, 113, 0, -22, 0, -115, 0, -7, 0, -61, 0, 33, 0, 199, 0, 18, 0, 96, 0, -38, 0, -102, 0, 32, 0, -14, 0, 28, 0, 101, 0, 9, 0, -27, 0, 125, 0, -24, 0, 1, 0, 65, 0, -38, 0, -31, 0, -12, 0, -193, 0, 53, 0, -72, 0, 96, 0, -17, 0, 121, 0, -120, 0, -279, 0, -265, 0, -43, 0, 31, 0, -35, 0, -253, 0, -36, 0, -324, 0, -230, 0, -84, 0, 149, 0, -181, 0, -62, 0, -295, 0, 87, 0, -163, 0, -358, 0, -15, 0, 102, 0, -223, 0, 65, 0, -96, 0, 77, 0, 65, 0, -27, 0, -79, 0, 157, 0, -299, 0, -14, 0, 198, 0, -123, 0, 61, 0, -23, 0, -419, 0, 5, 0, -89, 0, 122, 0, 250, 0, 69, 0, 43, 0, -8, 0, -125, 0, -23, 0, 49, 0, -115, 0, 168, 0, -157, 0, -151, 0, 153, 0, 29, 0, 73, 0, 429, 0, 25, 0, 59, 0, 11, 0, -3, 0, 9, 0, 446, 0, -190, 0, 196, 0, 169, 0, 5, 0, -155, 0, 446, 0, 77, 0, 252, 0, -134, 0, -45, 0, -183, 0, 216, 0, -115, 0, 455, 0, -143, 0, 13, 0, -36, 0, 11, 0, -95, 0, 235, 0, 29, 0, 167, 0, -126, 0, -124, 0, 29, 0, 33, 0, -71, 0, 161, 0, -28, 0, -247, 0, 145, 0, -173, 0, -98, 0, 339, 0, 53, 0, 192, 0, -50, 0, -88, 0, -5, 0, 42, 0, -13, 0, 200, 0, -27, 0, -169, 0, -99, 0, -292, 0, 56, 0, 91, 0, 90, 0, -37, 0, -24, 0, -387, 0, -71, 0, -141, 0, 33, 0, -93, 0, -150, 0, -220, 0, 212, 0, -343, 0, 113, 0, 25, 0, 184, 0, -400, 0, -74, 0, -446, 0, 82, 0, -175, 0, -277, 0, -49, 0, 97, 0, -499, 0, -247, 0, -60, 0, 210, 0, -81, 0, -115, 0, -403, 0, -151, 0, -185, 0, -175, 0, 89, 0, 208, 0, 64, 0, -182, 0, -329, 0, 90, 0, 211, 0, 111, 0, 210, 0, -55, 0, -491, 0, 93, 0, -231, 0, -182, 0, 140, 0, -23, 0, 21, 0, 128, 0, 43, 0, -28, 0, 161, 0, 253, 0, 382, 0, 249, 0, 147, 0, -63, 0, 214, 0, -42, 0, 401, 0, 161, 0, 21, 0, 97, 0, -202, 0, 217, 0, 518, 0, 213, 0, 307, 0, 1, 0, 213, 0, 205, 0, 377, 0, -117, 0, 650, 0, -12, 0, 244, 0, 248, 0, -101, 0, 197, 0, 503, 0, 196, 0, 39, 0, 170, 0, 123, 0, 113, 0, 267, 0, -43, 0, 251, 0, 224, 0, 55, 0, 163, 0, 226, 0, 201, 0, 525, 0, 210, 0, -255, 0, -274, 0, 121, 0, 98, 0, 628, 0, -79, 0, 303, 0, -166, 0, -434, 0, 81, 0, -135, 0, 97, 0, -13, 0, -155, 0, -30, 0, 101, 0, -646, 0, -171, 0, 61, 0, -95, 0, -50, 0, 249, 0, -641, 0, -85, 0, -45, 0, -207, 0, 113, 0, 153, 0, -890, 0, -23, 0, -130, 0, -50, 0, -15, 0, -452, 0, -689, 0, 18, 0, -320, 0, -62, 0, 77, 0, 193, 0, 13, 0, -179, 0, -557, 0, 404, 0, 75, 0, 34, 0, -345, 0, 58, 0, -339, 0, 61, 0, -181, 0, 147, 0, -27, 0, 57, 0, 31, 0, 285, 0, -473, 0, -198, 0, 372, 0, -123, 0, 47, 0, -242, 0, -453, 0, -74, 0, -345, 0, 10, 0, 198, 0, 77, 0, 0, 0, -271, 0, -53, 0, 5, 0, 207, 0, -424, 0, 176, 0, -151, 0, -166, 0, 129, 0, 325, 0, 361, 0, 455, 0, -230, 0, 191, 0, -34, 0, -227, 0, -455, 0, 364, 0, -211, 0, 397, 0, 1, 0, -29, 0, -284, 0, 667, 0, -80, 0, 624, 0, -66, 0, 242, 0, -327, 0, 20, 0, -150, 0, 603, 0, -251, 0, 272, 0, -70, 0, 309, 0, -148, 0, 383, 0, 114, 0, 288, 0, -219, 0, -209, 0, -65, 0, 77, 0, -295, 0, 543, 0, -284, 0, -403, 0, 81, 0, -38, 0, -18, 0, 675, 0, 17, 0, 317, 0, 148, 0, -158, 0, -143, 0, -145, 0, -348, 0, -243, 0, 128, 0, -393, 0], 'weight': 2, 'weight_parity': 1}
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id: 337715
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '58.2.d.b', 'target_level': 58, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 337716
{'conductor': 116, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 4, 'target_dim': 12, 'target_hecke_orbit': 2, 'target_is_minimal': True, 'target_label': '58.2.d.b', 'target_level': 58, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '116.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 337717
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '464.2.u.h', 'target_level': 464, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 337718
{'conductor': 29, 'degree': 6, 'multiplicity': 1, 'order': 7, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 21, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '464.2.u.h', 'target_level': 464, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '29.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 337719
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '522.2.k.h', 'target_level': 522, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 337720
{'conductor': 348, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 11, 'target_dim': 12, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '522.2.k.h', 'target_level': 522, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '348.s', 'twisting_char_orbit': 19, 'weight': 2}
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id: 337721
{'conductor': 116, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 17, 'target_is_minimal': False, 'target_label': '1682.2.a.q', 'target_level': 1682, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '116.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 337722
{'conductor': 116, 'degree': 6, 'multiplicity': 1, 'order': 14, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 1, 'target_dim': 6, 'target_hecke_orbit': 20, 'target_is_minimal': False, 'target_label': '1682.2.a.t', 'target_level': 1682, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '116.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 337723
{'conductor': 116, 'degree': 12, 'multiplicity': 2, 'order': 28, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 21, 'source_dim': 12, 'source_hecke_orbit': 8, 'source_is_minimal': False, 'source_label': '464.2.u.h', 'source_level': 464, 'target_char_orbit': 2, 'target_dim': 12, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '1682.2.b.i', 'target_level': 1682, 'twist_class_label': '58.2.d.b', 'twist_class_level': 58, 'twisting_char_label': '116.l', 'twisting_char_orbit': 12, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 927450
{'charpoly_factorization': [[[0, 1], 12]], 'hecke_orbit_code': 31526571814683088, 'p': 2}
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id: 927451
{'charpoly_factorization': [[[4096, 3072, 3328, 576, -80, -140, 197, 35, -5, -9, 13, -3, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 3}
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id: 927452
{'charpoly_factorization': [[[841, -203, 2843, 2366, -202, -119, 848, -49, 29, -35, 8, 0, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 5}
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id: 927453
{'charpoly_factorization': [[[4096, -2048, 15616, 3712, 6624, -560, 169, -231, 165, 5, -11, 1, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 7}
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id: 927454
{'charpoly_factorization': [[[4096, 8192, 2560, -4160, 1856, -28, 1177, -1148, 561, -124, 40, -2, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 11}
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id: 927455
{'charpoly_factorization': [[[49, -49, 3724, 12726, 10969, -5173, 3200, -1765, 673, -106, 8, -1, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 13}
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id: 927456
{'charpoly_factorization': [[[-1259, 1034, 838, -224, -53, 6, 1], 2]], 'hecke_orbit_code': 31526571814683088, 'p': 17}
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id: 927457
{'charpoly_factorization': [[[12845056, -1605632, 602112, -1222144, 502208, -102088, 47937, -9596, 1394, -286, 57, -6, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 19}
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id: 927458
{'charpoly_factorization': [[[7573504, 6780928, 14144512, 5126912, 2328272, 848848, 324409, 118328, 31056, 5257, 562, 35, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 23}
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id: 927459
{'charpoly_factorization': [[[594823321, 287156086, 50216951, 3073014, -646729, -447412, -123395, -15428, -769, 126, 71, 14, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 29}
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id: 927460
{'charpoly_factorization': [[[3444736, -2553856, 5052416, -829952, 199888, 391696, 96537, 1409, 1630, -109, 20, -8, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 31}
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id: 927461
{'charpoly_factorization': [[[68442529, -72322566, 51481468, -32560099, 15951065, -5383623, 1345226, -260981, 41568, -5308, 503, -31, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 37}
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id: 927462
{'charpoly_factorization': [[[-9653, -11417, -4767, -729, 19, 15, 1], 2]], 'hecke_orbit_code': 31526571814683088, 'p': 41}
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id: 927463
{'charpoly_factorization': [[[4096, 6144, 9728, 1024, 6448, -1176, 2241, -175, 169, 75, -9, -5, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 43}
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id: 927464
{'charpoly_factorization': [[[7573504, -264192, 6778880, -4058624, 961616, -623568, 487361, -162051, 36349, -5505, 549, -33, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 47}
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id: 927465
{'charpoly_factorization': [[[35724529, 39573717, 28432817, 1196537, 344952, -42056, -7321, 2548, 1784, -498, 126, -13, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 53}
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id: 927466
{'charpoly_factorization': [[[-3584, -5824, -2800, -335, 76, 19, 1], 2]], 'hecke_orbit_code': 31526571814683088, 'p': 59}
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id: 927467
{'charpoly_factorization': [[[97160449, 182896635, 160729838, 79314434, 22776633, 3682981, 543368, 87865, 10169, 864, 150, 5, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 61}
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id: 927468
{'charpoly_factorization': [[[4096, -43008, 276992, -397824, 479728, -318920, 113289, -21847, 3005, -399, 53, -7, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 67}
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id: 927469
{'charpoly_factorization': [[[3720024064, -1349630976, 1022100736, -180587712, 47767376, -4345500, 435813, -169515, 26449, 1389, -79, 3, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 71}
-
id: 927470
{'charpoly_factorization': [[[490724067289, -60768448716, 12007195135, 4947485694, 538277309, 52734006, 9079511, 987194, 103431, 8180, 461, 22, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 73}
-
id: 927471
{'charpoly_factorization': [[[113844158464, -87499341824, 35339599872, -10716024832, 2714796032, -534085888, 78957376, -8711808, 721296, -44560, 2008, -60, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 79}
-
id: 927472
{'charpoly_factorization': [[[200704, 7777280, 93916928, 34454336, 17586352, -971796, 1568841, -245982, 49592, -7911, 758, -39, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 83}
-
id: 927473
{'charpoly_factorization': [[[126405049, 165362044, 169439994, 74697537, 37966023, 5035681, 1898338, 240485, -19416, -3484, 643, -39, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 89}
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id: 927474
{'charpoly_factorization': [[[36316162624, 38247759872, 18568809504, 5325196800, 990759084, 125467104, 12067609, 1059761, 89721, 6439, 515, 19, 1], 1]], 'hecke_orbit_code': 31526571814683088, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 21, 'hecke_orbit': 8, 'label': '464.2.u.h', 'level': 464, 'portrait': 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Tj22LUpxleGWAviNGCxKxmOfQJPIIxm/bRm3VTKUjekOxSMEp/lgWDTlGaxozl+TlHzAzbNwrb1ERvnRmyYG7Npbsy2jYYdmxSXbfepqyZHjrf5ylMBjzyb8MSxmFT1+OZXdrj55Ya6muPZY9McOe1x6nzK2QzcBxcM110xzy9+zzLb101x+vw055drLHZ8ljuSlV5Kd5DSH8OBo4scPLly2eMH5l918OS5XUdOnf/8jW94Z3TPrR99oSHxNd3+STP40nKHKDIoxa/e+9jhl//c7/ydfOcNB17+b28+5S2sbGS522JxpcFiJ2Cx47HYgaVOylInZnEl5ewKHFoUrF+3wn/6vkVeenGDE+dmOX2+yekFj3OLhrMLCSfnU873EqZnR7ziqj43XAqBrBOqkHNLNc4seJxdEgzGkCSaWqBp1lJmphI0cOxsQrcPOzf6NOtjjBEgAvpDzY5NYxZXPDBWiqz0YZyAwbDUidi6wac3VAhlEHpMu+azY/OIlYHg2GmPVHvMtSWtmiD0IUkEg7Hk7JLkzKLh3HJCGI7AT7jx8j4vv0Kwvl1ncbnNiXMhpxfg3ELCuaWEU0twaNHwkssX+OXvW2bTdJvjZ2c5u1hnfjlgoSNZWklZ7sYsd1OWepqFnuRUD5aW+vzW/zlK3v265r21dT+sg9al90r0z6f4hLX2Cw2V57z9k2XwP/3g3/KKG1/MT//0T//KX/3dHf/nn/7lFy7cd3xl17On+vKVV/bYsyUlKXS1ZW+MBCQgEMLgCUMg4fRinQcOSq7as8Sl20c0auB7ksBXBIFHsy5p+JJB32f/0Rq3PxJw7PyYbhKz/8SYjXNLvO0Vy1x1YY+XXNrh6ELCwkDQCEccPm3odJtceYFkZZSy96ii1fB4+hhctMUwilJGaYDnxcy0YN+JEOWl+DLB82E4lrz00gHDgeSqC1O6w5Rjp1vs3qRoNiJWxoYN0wOW+13++g547EjKE0dG7NyyyNWXdJmZjXjrjT2+7SbDnk0t0niaI6emOHTS58RZzcnzMSfPpxw6Lzi+EvOii+f5T9/XY+P0NCfOznJuscH8SsBiR7LcSen0Ylb6KSt9w3JfcHagWOomXHfZPD/xLedlzWPXuTPHdw+HyfW19u56vTHzhcce+AR/8Md/9UJDZs3bP0kG/4u//BhXXrJF3fvQof/r8PGzv/DYU8fU2aWIxbHiVN9w1c5z/NaPzXPNngbnFmdY7DRY6tRY6vgsdT2We7DcSVnuJiz1EhY6cGJZ4NVHvOyKJb7jpojdG5qs9NucX6ozvxSw0BEsdaxEWO5pukNNd2wYjBLm2jE7NmpAEPqGk+d9hAzZuUGxe4thy4YB55bHPH6gxYsvMjTqyzx1cJZWMyKKfOZmNMMRXLZjxIfvmOaS7QnjsWHdlCROh7RqIU8fHVH3m1xzccIThyPOLQZsnQvZvRl2bIpQKubkAgS+QQjDzo0JMy1JbxjSH/h0Bz5LXcXSCix2NEudlIVOytkOLI5Sdmzt8x2vXuBll3rU/DZnFtosLNdYWPFY6gqWO5qVXsxyz4J7sQ9ne4pzKwkvveQs7/mxRS7c2mRxpc1yt8ZgPIXf2JMG9U2/EsuLflnpk+nLb/oXLzR0Vt3+SQH82f3PUqvX6mdOn9zx4CNPvevw0dP/+dmDJxknkv4IVoaCcwPF6V7CSy44y2/+2BJXX1Dn/PIMiysNlrs1lro+y12P5S50epqVXsJyL2GpazjXEZzuGxB9bn5lh7e+VHPB5hpR1GC5U2OlH9DpKZb7gt5AMBobosSQpqCkIfShHhqm24YNszGeP+LQmYgnD4bopMmbr4/w/BUe3jvFrs3w2QcSXnllyPnOkJqnSNKY2RlIYh/PT1hcbPCKa7t89r4WuzfDQwfG+DR400s1iRjy5KGUIydreDJg44zHTFNQDwVBIFACEg1RbBhF0BsYVvqa3kCzMtAs9g3DNGXntgFvvaHDzS+PQLdYXJni/FKdxZwMOrDSS+n0E1YycC8N4ExXMd9NecnF53jPj53n8p115penWek16PRDen2Pbl8QNLdRa2z6Dxu3XPY327ZtPT4ajYYXXXzxCw2l4vZPBuDHjh5g/fp1wcEDh37g2QMH3/vgw4+JhcWeHI4Ng7GmPzL0hrAylJwfSs70Yl564Xl+/YcXufbCGgsr0yyuNFnuhqz0ApZ7His9Qadn6PRTVnoJnb5muW843xOc6Whmpge84SU9brw0YedGRbvu0+3VCH0JKKJEorVAGxiMAKGZaY04cMqgTcRtDzUZD+pcuDXgZVcNiPUKdz0yzTUX+Rw426ez3OaGqwZ84eGQjbOGvccM/9s7uuw9GrJxVnL7I4qXXaZYGnQ5fGKWay6OuOvJIcm4wY2XB+zZPmKY9Ln1YQWp4NBJj3bDwxMwGEq0EaTaECeA1HiBptM3NFsx2zePefllA97w4oS5Zo1zS1MsrtRZ7tpjs9wVdPrQ6SV0+gmdfkpnYFgaSM72BAu9hOsvmedXfnieq3fXmF+ZYqXXoNsP6Q58+gOP3lDRGwritKYvuPAqs2v3np/cdcGeDywuzEeXXXrJCw0p4J8IwOM4lnE0fNsjD3z2wl4/fc8DDz7sD0YwigyDYcJgpBmMNP2xoTcUdIaC80PJ6U7CjZed51d/eJ4X7wlY6U4xv9yi06+x0gtY6Xt0eorOAHp9Q3eQ0O2n9IeazsAw3xfM9yFOx1x90ZBNsyn9geEtN4zZtUmTpBJPGqIY7ny8xvHzNTbPJDx1qAa6waXbFNdeoglrAx4+MGB+ockVu5q0p5e57wmf6y6qsThYYXm5zaZNhgf2Kr77tX0e3OuxbYPPQr/D8tIs11424L6nUmbr01xxYZ/znQ4PPDNN3WvykksMF+8Ygezz+BHBhtmYc/Mxdz3uM4oVUkKqDbs2R7zhhoheX7FlRnPtRRBFDZY6DZY6ISt9n+5A0elLun3oDlK6/ZTeIKU70KwMDEtDyamuoDMc87KL5/nlH1rmJRfZi6PTq9MdhPQGPr2hR3+o6A8lvZGg10/pDRKuueYlsUb9zLve+S0Hm4363/u+r19obL3gmcxo3CdNBt938ujDvzV/5sDsufllmnWJEDZQtLcEIQBhLUAhDFIapPR48NmN/Pz7PN7xsiXe/doldm+NOLvYJgzq1MOARujTrHv06pLW0Geq6TEYpfSHKRvHmuHY0BuFLM3XOHnCECWaU2cTwtAAgkAZPCkYDBUCn2Tg8aJdgj1bDDu2DhinPT73oGLfwRne+OKQay9b5oOfMwSiwa6tA564T7F1WrGuPaCm6kSxz/keNGse2zYKHtsXce3FdW66ZoE/u2VI4Ld4/fUGPxzwxQciPnt/k2eO1LlgS4Ndm1PWz0TsXhdz5a4UpTSeMoChEYasnw6JYp/eIOCpA74tURgq+iNJfwj9kaE/sN+9N0zpDw3doWFlCPMDxbllQ2Oqw0+9eZ5/8bIxV1/Q5MxCm06/Rq8At6I/UgyGkv5IMBwaxjHEieGuLz/gt6fnfmvDhgeWXv2q6/+PbnfwZ+124wXF1wsK8HjcByF+6Myxr/zqkX1fmB0P+oR+gK4p7OIiyI0eIVKEAClsJ42SBiVTAil54sB6Hn22yYHT53nHy/u8/PIR0602S50GzW6N9jAoltT+SDIceQzGHqOxYRRpotgQx4YktfcoCTAapBL4nqAWCKZbgpkWbFqn2bZxwLqZDp9/GO5+1EfqKd74Yp8XXdrjnmdiolGbl71I0BkOOb/Y5MaLNeumB9S9kFGimO/GKC140cUejdaYR/bXeNW1U9xwdY9H9iswU7z48oAf/OYlvvBYxO0PNtl7vMaO9YpNs3VmWg2mWlAPwfcMSoI2sPeIIE0FcSKIEhjH2O84ThmONaOxXQkHY01/CN0xzPcl53sw1iNed80Sb3t5h+96vSZJ2pxdaNLt1+gNA/pDn/5Q0RsqBiPBYCQYjqx8HI0SxpFhGGnOHz3Dmb/53OxwnP4//+KbbvJ6/cH7Ws0XDuQvGMCj8RJC6h88f/yuXz1z5AsbhO7RaASIsXUrMFBafgohBFKSgRuUMnjK4CtN3RcsDOp85I5tfPHRLq+8coXved0KV+7uMzfdYHGlQW8YMhj6GbCVvUeCcSyJE0GS2KXeZIuGkgbPg1oAjbpmthWzdcOAhD4HTsX89V01Dp9oMh3Wue5yjxuv6vLAsx1u+0qb6y+qsWPzgA/fIVAipN2KWemP0QaUgPXtAd1egE7qvO2V5/nIZxvsOVfjrdcPiOJF7npyjjit8dLLN/DW67pctL3DFx8Z8MSJBo8fCdg2K5ltCxqhIPDtRSgFCGHQBrQ2xEl2scaGcWwv5FEEwwh6I8HyWLDUA+GNuOaSFb7nDSu88vKUuXad5W6DTq9ObxDSH/n0h+VKMBhLhiMY5BfOKGU01gwjK+W0UZw53+WDf3P7hmHMr978Ta8wZ84v/+nmDTP/cwDcLP/fnDp/Jb1zn/z+eDx4z8r5p9cputRrIYg0+6XslwWZVBFIIVHSQ8oUpUS2PGt8ZQg9Q90TLI8Ui50ZPnpnk/uf6vOyq1f4ntevcM2eDnNpnSQJGYxq9Ic+w7FHFCviRJKkklQLtBE2CyoMYaBp1BLCICLwx5xaHHPLQ5KDJwOOnJxB6ZA9mwMu26148aVdVDjPk4dabJ1ucMUFsGn9MkvdNldulSTa8PkHQ8YDyXQz4U0vHfH3d8UcP9vikgt9zqyMePqwz/aNM1y9e557nuhx39OCcRRw6e5ZLt0ecum2HofOLHHwFDy4r8GBw00aniD0JM3QUPNBSrvmGWMv1iSFKIEoFfTHgu5I0I0h0gnajHjJRV2+5w1dXnllyubZkNFoisVOjV4/pD8KGAw9K0dGiuFYMBxJhmPbNzoap4yibGWIDKP8MYJYK46f7vC+v/rShicPnn9Pu9VM/tv7PvfBLz95mL/5rR//5wvwn/4vvwPTf0u9w3f56fHfGXbPTfsioFkPUXGMAMtE2aMUIKVASomnBEoplBJ4SuOpFN8TBJ4m8A2hb2gEKdM1QW/ss9yd4WN3t7nj8REbZwa869UdLt0+YjTsc8Vuw/ZNinHsk6Zlml9gkFLjeynHzhmOnBWsDDWfuqfBqYUZTOQzU1NsmfPYucnjgq1wxZ4uWi7wx3/fZGlpiusv9bhiT4cvPi4Qic+GGUmzkTCIA6SRYCTKC+iMBOeWBJebBq9+cY97H6mzZV3A9VfM8q++eYEPfLbHg/ub9Ec+iystdm+pc8nmAS+9uMe3vqrH6aUlPnVPyOIg5NgZn1OnAnxlj5VAoI0h1RBrQ5poZuZirrp8wHgcc+n2Me989ZgNU4rZVkgc1zgzX2MwDBiM7So3LIAtLbjHgtEYuxKMU0aRZjxOM1Db+zCCUSIYRoKR9jh7qssTH/vKuot3zf3ODdesi//mt3b85dKJ/8Ls9n//zw/gP/5/f5gNN3yX+N6flt++berpP/mOm55sXL6rTrfXtNJDaiQGITVC+khhEBKklEgJSsoM3BbsnifwvZTAEwS+puYb6rGhERmmaikzdcEgkvSiJkdONvn1v5wFnSCShBdfNWD3pogkAW00xlhZJIVAKoHnB+w/HrD3YI1mzaMVSNY1BOvnJBtmPbasV+zcnHLJzhVSscjvfrzNsePTXH+xz6W7UoZJj688GTJd95mbMky3Ihp1K4W0lnRGiqW+YbGT0unXecUVKzy0d8C+44rpdo2XXj7ND79tkd/7BDxysEl/aFjpeZxbarNpXYMNMyN2zo346W8f0G50eOII7D8h8X2DUgYhNGDs/wwkCezalPKyKxPS2CdOQoxpMIp8zi4EDMd2RRtFqpBvw0gwGgtGkWXtcWSzsuOxZhxpRrHO3jMFc49iwSAW9GJBNxZ0YkM8GBL1Hp1+xw3r/+S9i0sJ3k99tH+6bZpb/vU/H4D/h9/4K67YPqvuuPODNx88vvLBv7h/sfbYvhl+/ce7XLLdoFSKkrXMGckCSOGjlEFJhVIq09sS37OaM/AVY18yjjRhlDKODfVYM441UWRoJzCONeMEokQwiiXjNCROa+w72OTxfZAaQ6b4UQJ8CYGyNR+tEK7YDO06TDUlMy3F3LTHhlnYsWnM5vUrxGaJ3/34FIcOT3HtBYoLtkn2bFvmS08nnFuc4sW7JTNtTS0YEsoQowRJKhHGkKQRy/0a5xZ9rr20zosu7nHPIzU2zggatRbXXqz5qZsX+Z1PaJ4+1WKlr1npKeaXPdZNN5lp15lpT9FuxKxvxuy8NiL0E3wvQakUmTlQBntRxbHi/LxHnCjiRBHFinGcPUaScSwZR5JRJBlHwgaokWAcGcaRPa7jKCWKMk0f2/dzYI9iLLgjQScWdCONHg150a4lfvUnFnnDFWca3eXwg2M+pPvx5R8/feD96ZaL/tU3PsD/4298hGajph45cPadJ46d/bNH9p2qifYcn3sgwPcEv/wjK1y2NcVT2rJ4DnBpUMpDSYOvDL6n8D2DH0kCX9iT4AvGgSKKLdDj2BAlqXVFEueeQpIa0lSTaqze1hTgFgKUBE+C70PoCWqhoBFKmg3FVEMyMyXYMJuwc9OAVnOFj98bcdeTs6wstLlqh2LnZp+Lto9IxQqff7BB0/dYP6NoNUY8eQieOexx5XbDYKy4+qKYq/YYzp5JmV8OGI4avPm6Hl9+YsiBU4pmXRIGba68QPPL37/InU8P+fs717HYNezckLLc8ZhuK6aaPq2GT7NuqIWaMNCEXoqnTHYs7TkwBpuw0oJES5JUkCSCOJFEiSCOJePYOi9RLIhiQxTBOE6JYk3kEMc4du8W3MMM3N1Y0olhOE4QyYBrdy3zSz+yyFuuM3QGM/R6x2van/mQVwv/JWL6b0/t/0C69ZIf+MYGeN1P5bC38u7DR079wTN7j9XW1X2WYhjR5tP3SaKx4p2v6fLtr+0x007oDVI8meJ5KZ7n43spvufhxx6hpxj5lmnGviQKBFEs7MmJFXECUSytg5CUtl+SatLUugupyZySLJDN3RklrewJPEEYSGqhpFkXtBuG6ZZm4+yY9TM9ErPCR78s+cBn59hQq3HVDsGOzT67tmh2bl7m418xLC3VuHSTYqYNrUbMuaOS88shwW4Yx4L1U5LpaThwxLDc1ZxdqHHRrhqvfXGPW+6uMdeCMAhQcpor9wh+5K3n8eV5Pn3PDM+cqrGxG7NhOmGqqWjVFY26pB56hAGEPniedZjyOKYAOfbCTjWkqSBJyYAOcWqIEojj1JJCrInyx1hntmPuymQWZCIYxoJ+LOgmkl6siUYRU2GX73jzIt/+6j6vvxY6/SaDUZ0oCRn1D9e8uvcnKgw8RPBXWJ75xgT4+z/0CdJUf//d9z/9m4cOnWy3agovNRgEK3iMRIvPP6T4ytM1ziwv8r/dPGCmnTAKE3qDBM8L8D0f3/MJopTI9wgiK02i2KbSLeMIy0QZKyUJxCmkqXUStLYBl9Ym7+HMwG0BbrW9wPcsQGohNGqaVj1hupWwfnrIupkV7t0X8aHb6uw/Ms2uKZ89m2DbpoBtG+GSHV0GSZcH9rapK5/1M4rpFky3xsxMJQSBhxD24hqOA5a6MSsDQ6efcH45YMemFjdcep7bHhyw/1SbRhjjqwAhptizVfG9r1/gJZec50O3tXjgqWkW+x4b2gnTjYRGTVKvKUJfEPoS37exilJZ0J71VRpsD6vWFEBPUp2tbpm1mGiS1II7iSFKTHmPrSszSiypDGJBNxH0EhiNEnQyZK7e4ye/bZH/33cOaIQ+nW6DURQyikLGcUCcKroLJ9qq5v9ua+7q4JlHP/WBy699+zcewBeXOiipfugPP/CxXz167NRcPRSoxFhQYQ98RygGqsnKyOM3/8Zn76Fl3vaqAa++psfGdWN63TpDLyDwA8LAZxx5hIG193KAx7EkSuyyGyeZp52SWX9kzC3RhhLcNkmZMTd4yiZMAt9QCzT1WkKrljDTHrN5XZdznQHv/ZTP5x+aZWm5yYXrBTs2CLZuCNi2QbB7ywgvWOEjd3kcPtHk4o2SmZZkqpki5ZhT84bQk0gBxgii2GPnhi4PktIdKJa7hnNLdS7eVuNbX93hb78YcPRciO/FCOGjTZM4kbx49zI7v7PL5x8Z8OHPz/Lw0SZbZwTrminNWkotEIS+IPBtrOIpbOAsRVGTYbAXmTZYpyW1gM9BnqRW0lmwQ5TaWpcoTx4lgmECvUTSS2AYadLBmG3retx07TJvf9WAt1yn8USdpZU6URwwjgKi2J6/4twNT8/V27vfc+mLblbjUed9Ye1/zMSt/yEAX1ruEAT+v7rlc3f96iOPPb1BCmO7WTBONlLgCQgSQU/U6EQeH/lSjTuf6HHtpV2+8/UD3np9h7npkOEoZDgOCH2fKPGJYq8IlJJEEaeSJJHEqSBJJGkqSLUotbYWFKrEkH0GmyxSWbIo8DVhkFIPE1r1Meum+wzjIV980vDXX5rigaemmQl8rtxq2Dwr2TgXsGW9ZNvGiAu2LvPE0SGf+vJ6ppTH+ilBuyloN2I6g5TPfqVGK7DfXRsYjj3e9rIxn7nf1sR0+przyx7bNrR4x8v7PLCvx94DAc0wQUlhQa4bjCKr9b/3tR0u3nyej9zZ5b5npjm+XGdTWzBVMzQCTc3TBD7WWpVkCTL7vfPyI51JNa3LFS7JgG4JAuJUEKcZsFPBKBEMEkE/xcY8UUSzPuAdb1zi3a/v8uKLUzbO+AxHTbr9gCgOGUc+49gjjjNwJ3nuQXD25DMbgvrmX9198av0oN99f6P59W+c+LoCfGlphV6vj4Dvu+0Ld//GLZ/9wlx3ZYVaoEjSDNwy04Y5e0pDKAU95TPwFSe7Iafvb3D/k33+9qoe73ztkDe9bMTsdEA0DhknPlHsEyf2oMWJIkkVSZolbNIS4NpkzK3LmjIhTBZU2joOz9MEfkoYxNTDiFZ9SMqQLzwi+cs7pnnqyBQiDtk1Y9g8bVg3rVg/G7BpnWTL+pgdm7qcmO/xh3/fJBnX2bZNMN3yaDeh3YgRfkR32GS6ZRBCYAzEiWQ2VCQ6oRcH9AYpy13Fqfk6l1/Q4ke/ZYX3/FXIsfkmnoqzC8MjSWqMIsmmuZAXX9jlqgv6PH3sFH/9pTq3PTzN6U6dZqhoBdD0DYFn8JU9xkpSrJ75TQNG24su1YLUQJIK65+ngii1SaJhKhimMEwMSZKg4zFztSFvft0K73pdj1deGTNV94niJsudTIrEHlHsEyXKElIG7iSRRKkkTST9QZfuY3duiBP1G3suvi5ZXDj95/V6k3rj68fmX1eADwZD2u3m2++576Hf+/vPfKHd73Wo1zxSbVDSppOVKIMfJYx1LiSEqaauBAMVMEg8zo9rfPr+Jnc9NeClt/f519/W47IdXTZMK9oNjygOiBKfJClBnuYA1xJtJMZYSWCKgDJL9Stjk0VeQhgk+CqiO4yZ78b89sdrHDk/wyN7pzE6YK4u2LDOsG5KMNdWzE37bJyTbJpL2Lp+wNz0Mp9/VPPwM9NctU0w05K0GpJ2Q9OsRwh/TBh6eMr+fWMgTSXDscdwFJNoQW+o6fUNS12fs4ttbrykzw2Xr/CR22vUlxSejC0gjUeSBkSx7fFcN13jJXv6vOTCPg/edJpj85IP3TbN+ZUGJxdDAiVp+oIgl2EZuRREnksVLJMnRpBoiLVgnMIogUgbSBNIYqQas2VmyFU77fm47rKUdt0jSZp0ehbYSeJlBJQBO5H2eaKIY0mcyoLBk0QRj7o8+egdc1Kq39t94bXL4/HwU19PTH7dAH7gwEG2bt2k/vxDH7nwqWf2twf9EtxJIpAZi8Sp1eJKGrwUvFTgK0OQGMJU0FCCoRIMvJBh6rMY1bnt4SnufWZIMxzzL9/SYdtcwq4tQ268oocnbIuYEFau2KykrZU2xmFuDEIalLCeuSEBmfD0EclD+zxueaDF08dbREmDlqdYXzfMNg0zDWN98LbH7JTH3LRg02zClvVDNq9f5q6nxvzxLRvYPO2xvg3tpqLdFLQaCfVwzL3PKkaRh9+0oDJGECWSmqe45uIh9z85bQufhikrXZ+FlZBzCzP86FvPcXJhkfsfW48vARGjoQDQOJL0hx4zrRrT7SY3XDzgpqsGfOdr5tl3QvOZB2o8sK/Os4ebJMJjPFYMYoUSsih/gDzwzHICRpNog9EaX6RMBRE1Ym64ts/uzSO2rYv5njeNqQeSZt0nihp0ekG2knoZ4ajCa48zOeLekzxeSoVdLVLJYLnLIw/d0z59+tyFr3/zO9WRw4fS3Rfs+acD8L17n2FmZip45OGHf0BJ/ZuD/jKthp8Feba2Q2lIJBnQBSrBSoTU4CXgS4GvDWFiqClBIxWMNYxSn2HqM0hr9Hopv/GRGUwSs3H9iMt3jJibSnjna4fs2BARxyLT2xIc5ibTn1JqhBR87M46TxxqIjyPY6cbnDrXoFZXTIWC6aahXdO0a9CqC6YainZLMdPymJuGddMJG+dGbN3QJTUrfOzLbYb9JhdtM7QbilZD0qprWrUE34/4/P01xgOJv8GWjuUSpVlXvPmlQ+5+VNMfS/rDlO7AY6XncXaxwWW7W7zzlV0eebrBsaUWSmogzvSyT5wqxrFNzPRHHp1+QKveoFkfc9m2EddfMuLE+Q5Hz6zg+SmPH/b42y81EMoWrjE5f9BoQIMxxFHKzo0J73rtkHXtlEt2GjbOQZr4jKMWSeKz3PVJYkWcelkcpIhju5LGmRQp2DoRWZyUATsRJDoHuI2bTp9Zpjmd/OZjjz4y2L5z5wf2798bXXLJZf80AH7y5EkWFuYvPnXq1HsfffQhGXgSKYSNzJVBJYZEZ8mbTHsrafC0wEusToxTg59CogRhaqhpQ5IKIm2IUsFYS8apJNI+sYb5fpsvPaExpHzyATuyAaOze57FyywykVckSqRSJLGH1B6+J2mFsHu9oelrGqGmEUIjFDTrklbdyqGplmSmDXNTCetnxmxZ3yNlmd/+uxr3PLmBPXMw08jYuyFp1RMa9YhmY0i93iBUEiUzDY6VA3HsMxoKhuOU3ljRH2l6Q21b5poBJ89N8YrLx/zUt5/jt/7W4/hKiBAaY2J0aogTnyiWjMa2jLU19GjWAhr1Go2wQS2MadUjXnxRRODHXHdRwve8boCnkiKhJoSpivJM0mktEUIS+goIGI09Fpc9W7eT5jFPdk9kGQMVDG3BnTtbeWIpSd279eLjVJCm1o588KEHZWrke4ejwZdHo/FTXw9s/n8G+Oc/9ymaDb9+5Ojhmw88e0AEvkIbgUw0UlrrKRUaqSGVIstQWnmSpFYbJil4qe19TPKIPs2i+jyy16J8rQWRliRGkmqPWIekme3l3oospQBPCKv3FdTqhppnqKmU0IfQg1pgqIeCeiBp1CWNmmcB3hRMtzSz7YS56TEbZvts2bDIH9+i+fBtG9k+rVjX0rSbilZD0WxAo57SqsecWdQcOhNSC+wFDXmln2AUeezepNm0bkR3FDAcmYzFJSs9j1a9Rqsxzfe87jyHz5zlTz61FU96GDSpTkm0IU48xpFiGNmiqEFN0hh51EOfepjS6dkYI/BTmzDzbRJNKY2UNp0vsrstXbE1+Bbkgo7Oqiy1jWvSVKK1JNFlvGPBmgf4+XPncQLYaWoD2UQLK+3z85xYY+Dxx58Q3d7g5h07dh36+Cc+Mbz5He94YQE+01ZBv3f+53or535OmLGshZIktUVSKvNV01SgUk0qDakClQrSTJ4kGrzU+tVpnnzQJnttivfK52WlnPVyRREouZob8opEG1h5UuNJspoW8JXA94z1jT1BLZTUAkk9VNRrilZd0moYppop062E2faYdTMDdmxc5IFnx3zkzi3M1EI2tjTthrDgrkuaNU2zltBqjHlgPzy+r8GF602me8u0+XCsuO4Sw0U7hjz41DSDsWE4SukPvQzkPo1anXptmu941RKPP3ue+/duAqPQOs1iG0MSm6KeZDj2aIwM9ZqiFmjCwCcMUkJP43kpvmdLjJWy5RDW0TIgDMKpUS6Dc1tCrHNHSuf2q2PF5sDWpaa2r/Ns6QS4tX1MM4LL72lGcJ3RQB4/ceb/ErIW1OuNXwGiFwzg0Xggo2j0S3fc+pf/R79zOqiHPnFKkfpOhA0uU2lIpQV1mhqU0vYAKYOnM5bXtoFWpxTP0zzjZvLMm0Fnmbg8WWGMwcm8V1bcsuQ2l0VZxlLhFG3Z7F8YKGqhoh4KGnVBq25oN1KmmgnTrTFzU0O2rF/m/v1DfunPNnL85DQXrNNMN6BdVzTrimYNmrWUei0m8Ed0RrZYzFcGKctPlmrLcHES0K7HDBLNIKuzHoxSegNJp65o9EJqYYtdm2J++Qc6/McPSr6ydyMGhTaaNNUkaUKUaKJYMYoUw1BSHytqgSQMDGGgCD2N71u/31P2+CtlAa4ymSKEqTboZql9k5GIyWpZ0gzwqS4fLRnJ7FGUAM+eu8BOHDJL8lU7qxNKUptJPXz4RICs/cyP/fD3+b3+4D+0mo1/dDr/Hw3wfr9HFCe/8syTX/7flxaO12qhJElMCe48wZAKtBQkGbhTaeyBUcaCODXo/LkWaG2KNLIuPFow2tgu8qwE1L0zAfBMdmeBpZUoSgqUspLIy1rRfE8SBnYAUC20IxnqoaFZ07QaKe1GzFQrYrY9ZMv6Fe7fN+A/fmAd+4/PsnPWOiytuqTZkJa964ZGLaVRi4nTiL+4vYVUCl8alChtQm3yJdzne9+4zK0PR/SikEEG8P5Q0esrOqFHLQgJ/TaXbE/4zz+4yC9+QHDfUxvRRpJqm1aPE1toNo4045otdw1DQc0XhIHNbAaeKTK2ntJIZeMhKew5KwBepjyBjESwuQTrtmSBfA7gbOqALpJrZOxOseKWgKbMmuqctR1w5yu+kRw4eLR26+13/ttv+abXi263+/Pt9j8uCfSPBvj8ucNg9A1HDjxaT5MY35NFEsX6zaIIKFMJSgvL4l6eHs7BncsP+54uaiXK9isLdGHrKHJQ5wd+4nPlAM9rMPJMXs7enpfXnUh8X9r6jUBQC+3Mk0aY0qxbcLebEdPtIeunOzywb8AvvX+Wp4+tY9uMYK7pSJOaR7Nm61fqtYR6GOH7Y04tzuArgZI6s+XKIDNNJUmi2DxjSJKYblzLOmU0w1FKbySpDxS1wCfwa/jeFJduS/jP/2qef/+ncP8zG0i1tABPDXGSZkyuGYeaWiQZBaqQYL4Pvpc5V0raOEiWiTeRPa6BcStXyJJCiCI5pLPkUJ4tTlPnfV1KzkJ+pqZYiXNyKyo8s+dx9jtxEnHvfQ/XL9yz+wYp5VfF49cV4M8+9RlCb9B47MHbA50s4/sWiAVzZqBOtQVWqpwvmlqga21IPQqwV4GdyxBTAN3kciR//hyfTYqyiMo2UogC3ErKrFEilydQ8yEMNPWaoR5a/dyox7QbEdPNIetmOjx8YMQvvm+GJ4+tZ8u0Yn1TM1UXtGqSRk3RqAvqNXtx2FR/xP17Bf1RQE2RXWRWg+dNCKkWxIlHs6a48YoeDzzdZhBbmTIcpwyGil6oCANF4AeZfp7msu2aX/vh8/zsH8F9ezcQa0msddYsXfZgjgNJGGjL3n5ZR++p/E4mU0oZJzOCWgvkeVLI5ADPAJ8Wzgtrrrw6i6V0DmrtEFwO9uy1y+zaCM6eX+GDf/mp4B1vf2vjQx/5zOB73/1N/+MBPuoeJGxtm97/+Cf+UDB4lacSpFCkqVPjISzAEy2s/s6XLYll7GJJA63E2qztAFoXwC6bgsm0d3EyhC0oEjIDd1ZkpAqAg8oqBn0PAh/bCRRkBVZhSj2TF636mKnWkJlWl8cOjvnF983w+NENbJr2WN/QTNWhWRM064pGXdEo2DulFia0GiPuejxgpVNjZqZMk+eA0Zk2jVPFhjnF617U566HtO2iibQDcknNl9R8D98L8Lw6Umou22741R8+z8/+keG+/RuItUecVQDaslfL5GEsi+rCwJN4XlaEJQXKy48NxefLL8Jcqoi8Ko0yITR5186j1s5jsfI6q7VZG9iFgZCaiqEQxwnLneGrntl/5E9/6F++88cef+boyosu3/U/FuDLS2dRnaWf7a8cereOzhP6Nbv5kxAILQppkmhj3RJpI2yrs/OrXKAVxVVvJzTlMoSCvSuB5CRzZ0jPM3KF9pZ5BV2pu/OKQU9h6zM8g+/bxuJaoKkFKfVaQqMW06yNaTVGzE51eOTZMT/3R+t47PBGNkz7bGikTDVMBu6MvWuSemjZvxYmNMKIRI/pRSFCSfycwQsNLjJ2ywrEYp9mMLLlAlGNmRzko5RBYBk8DKStiffyDWgNV+4yvOfHzvHv/kBz376NxNpjnAqiVGcsLqjFmtA3BL7tXfWyuMP2t4qsDZCijELkj05hVnFhurHOBLgLEnKIyQV3GVdlIE8pnLCC3dOc9UubONWSY6cWqT9z5N33P/DooXEU/4ObOf9BAF9ZOkl7ZuvOB+9831UrC+eRysMTOkukSJTGMnYqkFqgc5miTdZRYtm7WMYy7aaLZds9YMJhijIradw1M2dtN6jMl9usQ0dlwZTnZZ1BWRFSXj1Y89NMN8fUa2Nm2gOmmj3u35vw83+8jkcPb2T9lMf6espUzdDKwF2vWTsxB3c9TKkFCe1mxN6jhjsfaRJIia90FsSVHkW+fMepItEer35xzIUX9Dl0vM76BmWf4zhlMMpY2FN4nl90OwlhuGIn/NqPLPDv/0jz5afXM4rrNhmWGBpZDXfoY0Hu5auXziSKRKq0WOGUFA7AhQNyVumVEuSmCvCiQrFceddamatGQvbcuASYMzz4SnH29Bnuufehq/7Dz/zIzsNHTx67YNe2rz/AR72TBLWpXedP3PPfTLrwdp0O8JQqEgVKWBdEassKurD+cmCLAuSVpaxg7KystfC0J1ySVW5JxtyT4BYGqcpsqZLZ/JSMuQNP4/ua0NeEQUItSKiFEY3amNmpAcu9AXc/Bb/2l5t44uA61mXgnq4bWnVBsyYKr9w6L9qyd2ABXg/HRGnKaFijpuxFJoWz9JNrVpEFmp7V8t7YDs+JhQNwTRCkBL6H70s8pVDSLwCOgKt3C37tx5b5jb9KuG/fHKc7bUZNyXRqaCWGWjZxIPRN5v3nToop2DuXKjnAi8+bfWgX54VCzE5KvqqW4K5KSlvNWTK2Ma58yRnctYOdHIe2mr/TG3DyzPLbP/35+9JX3fiif3vw8OmjF16w5esL8F7nKN6gfn138embo94z1Gs1jNFlgGEEKrP5Um2twdwrzcsxC4Bn/41drk12AIRzYKqar7xVVWF+Euy4h5y9c6vSOMOBbFms7+lszERagDsMMnDP9plfHvKrf9HgU19Zz0J/hvVTkvW1DNw1q7sbWWBZDyWN0GQMbrV3LYyAiDseC1iOA+ZCKvXYiOoKlaa2+aEderz22gH374/oxSFTRce6JhjbWvXAswD3lEFJHyFtggYDl26X/Na/7vKZ+4f8yvs3cnJhhuG0x3QgaCWaRgJhbEcvB8oONPLzQFOKIgjOH91A3b0whSh6RYrzAxMS0gW2Ez9pF/xuEOowe7oG+VmMKO59+ADrNmy8udVq/kWvNzz6dWXwNOkhVfOipTN3/JvhyiPUQoE2aQZesSoRoJxGg9TIsunA1doFqHMJYkobapK1XVmSHeicWfJ0c+4CqBzgyuBJC2xPWXD7XkrgpwR+Qi2ICYOYVn2I5w246/GUP/1sm1vu2UCk22xoC9bVrCyxFmDuk6vsLjLmdtk7xvPG3PvMNIPIY3Mj/zyTDJ5babaUtOYrbrhsSKItwIexsF3reef6WNvg0BMZi9sLWWTJdYNg3bTg3a/p0wpP8/7PDrn7mTnOxnUGNUk7MTQ9Y0HuZXGIMllckhW/yfwYirJ2XIKkZPHJHQULqZKPqGBSm7vdQ2XtudF59aIDaFPKkyIWK+4CLTxuv+dpXnTVxf/mO97+ikdXuoMD01/D3MOvCvDu8jEWT9yC8me2DDp7byJdJPBraJ1kAJUl0HUG7kKOOA5JkfIVVTmSa22yZEIF2I714NpXjt9edAhlyRTblU8x+Spnbl/ZWozQjwmCmJof0WiMCIIBf3mbx6//+QYOzc/ihzU2tQSzYUo7NDRDaGYd9vXQZjtrWULI1q+k2Upg5clCN6UfBQRKEUhTBJg4XyW/sPPajSjxqfsjNk0PWRm0GMYiG7dmYwXfTzObT2V2p7IArwSutvLx7a/sc93l8/zah0Z8+PPrWUqaDEKfpi9pe7YGJ/QgUBTNEF6e9MlWPllIlTIB5JJKVay4QKeyAmtTlZqlNq+CugS5KN5PzeT7ilPnOtx1/76bxnGy5fxC98D+A8e55KId/98AbkxKc8MbdvWWnvrj5flnkFIhRVocVKO1A2hZMHoJ8FKmGF3WN5hi+ckPiHAkiZiQJjm4TckmWfZNugCXBiVtkVfJ3GkG8oTAs5IkDMaE/pCj5xL+5DNNPvHlOQ6fm6Hd8JmtwUyY0gpNlnrPwS0zcMsiKVTLtHcY2Aun3Rzz8Xs9DhyrU8smcBXtYpQoL8Y4GKvD48Tj0p3wzdf1+NPPzdFveLSz2SNhlMUNSuN5MhtbhwNy3zlZdlXYsU7y89894KrdJ/mjW2Y5fHaKpaTOwPdoKkEjA3ogjb1wMpepWP1E2XUlRDYhMu/rFJCXZZVrqrPS5qUThW++2lIsJIqDgfJ1LlVE9UIAlFI88Mg+3vDyy/74LTe//C0LS92vKlWeF+BxnOB5iuVz928bdR7fI/QSvi8BF+A5YAU6B3tWcmlccBfFO6VcMS57G1GwQMkKOW2big7MgW0f81HKFtzWNcnZO8X3Etu54yWE4ZjAG9NLI9770YD3f2YTpxan0arO7JRiNjBMBZpGxtyNIn0vszqVTJpk3nkB7sBmL8dxxIGTIf0oZCbMXJw86ZS7EnkW1jg1KbFHu+mxe1uECkf0ohbDQFCPDeMc4F6aJWqU9bFlXgK8VvCqWD814EffPuDmV5/l/Z/p8icfm2Nh2GTo1ah5ioYnqCtbfx9k3T5Kiiy7SbYamrWZnDXkyqTDAlRiqZyNHSLTq9g8y4xOypMM4EIoTp3vcMf9e/eE9dq2b3rdi49GcULgPzeMn5/B02MY0V5fq+mPdoZ3+81GmoHbXsoW4CVru2BPHRBP/sxMMHjJ2OI5MpTGsQNNAeyKPJFZlZxKLcC9FE+lBH5MLYgI/IjOKOLeJyR/eVubj315jlHaIggC5gLBdKBpBoZGaGgEJbhroSQMJWEmTWxiKHMmMoAHvs18HjljuPvhBlHsEzbNqgAzv5XpbEsEUazwfY/XXdfjI1/os/9kk2HNjmYY+4YgAT/W+JFGKWl9a2kHkhbDfSiPZ6oliZY0Qo+N00P+3XcMuGzHmA/f1uKhvVPMD5uMVIDve9Q8QV1CmA9Yyu1VaRvDi4I14Rz/jMkni7NcRs8JatIRy1+X+tv+jvs6dRi9eE3+3wb81eef9N/02hd/9PT5xRctLvfn/9EM7oWbJPGD1/vjj05NNeaJklrGzDIDrCxLKgsQy7XZ3VTLMG19g3DqSqoMXin8sT06lsmLlLIuyj3zaVieSi3AVVrIEc+L6fRj7nlK8Gefa3PbI1MsdVrIeo1WXTHtG9qBpuEbGoGhHpCxtmXueiipBYpaIKgFZBV6OgO3JvSt/lbemGdPwqlOzSZWMn1bTZyU9TO2D9KCPNGSKPLY2BZctH3Ik8cTBrHPOJvxHURY8Kl8sm6eqAE50ZmTXzy5DRmntj78Xa8b8qaXLvPFR3t88PNtHtrbZrHXoCMD+oFHoASBFIQS28Mp7S51SpQXqRJZ2e8aDL6qfmWSyV05gpMBxWFtDSnWiEiMvadGkEJR76+NQfS7/OaffnrqB7/jW65/5XXXfI7nGR70vAA/cPhoKLT8g9b4QHO6Nsq2y1BorYrOjxLgEqMnAJ+DHAfUOtehDsCdA1LhhYo0MZUC/XKOYT7uLbUD8XM3Q8bM9xLuetjjs/e0+NTdU5zvNhG1Gn7Lp+3BlG87eeo+meyAeiCyu8xKTjPdHQjCnL1zgHsJQZBQCyKMibnjkZBjZ+qsmxX4UpfTcddgu8J1yiTFcOyzc6PgddcO+MRXIvqxzzAW1Hzbrxpkk6XKVUoVfjVCVmSKvcuyUUFbv70ejnnXa4a84bpFPvnlHp+5p8FdT7Q432kwFAHDwMPzFZ4QtoVQSvysMVwJg0I40rBqH65B5sW51c6jzgq3St1tAZ7mgEZkwC4BXWgck4JJMMmQo6eONC/aNv4DT++/DBj+owD+N599hNBb4YbdHV5xbYwaGJLUI0lVBmZJmjG2bfSVa0gRK2HIQF85CWB7J9eoCawElA6whdCZHagRGcA9LyXwYmq1mNE4Zf8pOHpa8de3T/G5h9qcX26CX8Nr+zSUpOUbWp6m7hvqPtR8C+6ab2cS2jJT6dxF9nOTgVwXIA9825526LTmySMh+H62zBsnRS8qKHCDsDTvS0ztOOcrd4+5fFuffacaDGuCRiIIY8NYkVl7OmPv3E3JLchSqxQ+e2ZFaq2y6QM+o8inXh/z/W8e87YbV7j14T5/84UGR0/X2HeqQbQSkoQeI89DKmnT+YCXPU5ORrBbFJi1d3ty3RRc9i5lRw5u47C0vTLy9sP8nmRTnBLEMGFduMhM8Mh0vfkvv+v8svnTDTNrfYDnAXi/c0hEUf/ffPGO/2fd3Y8HSM9ww0UxgZdQ8wQ6soN38i52F+CmAL3IvpikTLdPgtu55CuMYBzNZ5MaVpLobJeHlDC0k1STNOXsItz+JY9DJ+vc+UCdU8t1Dp1uQhiiGh41T9H0DE1PWxfBt4Pza74d12ZBnN9ldlcZwMk0dwZuPyX0LXvbCyviyDzsPdrAl1V7sJAolPXghaOQOyk662tMfC7fOeSiDQOeOpwwSHxasWDsQZDYmYDKAbiUAiFlhclLpnTKWHVef541Bac+Yz+gXY/43jeOeeVVXU4td7njwYDDJ0JufaTB6cUa6dBHS484UAgp7UqRdeVLsownFLJlLZBXAk3cLHXutjhRd974rDWQlqwd2eIU4aVIlXDD1WNe9ZIRf/bJfdM//L3dnwr88ftXo+irAPyX/vButI7f/fTj3eZjz7b58GdaXLUn4qaXjLh8d8KWWc2eXTE1I0gjicYyhS50eBXkVpqUr8uPMxlYGidiL1m7kCIqxQ9T4tRw+ITgycOK2x9o8NSRgGeO1OmOQ8ZRCH6AavuEStBQ0PA0dccHDr28TiMvm7V14WEmS4JAEQQyuwBMqb391GYWfavza0GM0RHnliRjE+J5kkAaPMdmmyDwAuSpqfY7RomPwGP9bIRUI/qxz8AT1umIy4IxT+lKBlIKJ4rNhx1RGgB5a1k+GMlPVTF+YjAO2DQTsWNjzIsvGDOMhvzLIx2eOhpw+/01njxS4/DxGnGiIFQYqUBIUulkg4okxXNoFTHxxXFZuoB9ZrWkJdjjFA/Nnl0RW2cTLt0d8eqXjLlqT8xcS/PU4cdpJx9EmX+gi/Lrf/IZzi2sqE/f8YQ49GydGMOpBXjqcMqtDzSZ8lN2bIu58tKIN1435rXXRGCs11xvGozOvrQWJLEFex5IWnDnObjqwbC7qtn5Jb5n7K5q0hBHhsHIMvrRk5K/ui1kECsee6bGwRMhC/2AcRqAF4DyUW1FIAV1BQ1lqCnsODOVFR4py9qBL2zSwwW3LwkyWRIGEAZkrolNmfueJvCTLCMaU69FnF9Ouf2+Fp1eyMyUwMu8+LzoSzwXs2knINSS8Vixbk7xphtH3PrQkOOdJkNfWpnigZ8Y/Dj3rDOPXabWLsSddSKLv6GN5/wNC/QgVaSeIvHt2Ic49q2V6sc0g5hXXplww2Vj3nHTiGdPSB7f6zOMFB++vcGRsz4IyWDokUYqL9/EeDnAJyyjHOAVYBeZPURqENpgsD5ivZng+xqB5rXXjHnjdSOuuCRm57aEKR/WtbOLOFVsefGIVD0qtP8qNTj/kaSx4d1fO4NvXDf93uEgvToOGtnn1WidMD/QzKeGI0sp9z2V8tHbE9bPJhhtuPbiiHe9fpQ1NhjWT2muuTKiWctWHyOKHNjqcy6K4TydgeDxJzwWu5J6TfLAXp+//3KNUawYxYozZwO08IiNjxY+eB4i9PCkJFCCmjTUMmCHyhAqY2vAvczz9UrmDvK+zALcKuvRFAV7B74mCPICrbRg7yCIUSriS48qPvGVFirwrN1W0d/PzeC5F56mueOhGI183vayIZ+6t8uH75iin9RoZjrcz3V4nCdlTNEtJIQsAGb/lHS0vgNwbZk88SyT+54i8Ty8JLVAVylK2UH6M7WEl12ScOMlMUaMeedrBoxiO87t018OeXBvQD0ULHQVjz8V0B3ITCUJnlOUFztP2NbAa66JWDedWnmdat71+hHXXBRjNKyf0cxOG5SNAtBaMB66stiAiq72w7n3Aj/6NTH4wmKXudlW+1d+75OXaOEr4TcAgzEaZArK6iKtU8ZGc66rObditdOzxzV//yUbFJjUMDWjuf7qiFbd1vyumZ50L/PMdVjpKx56MqDbUUhP2pkoxrPMJDzsXGAPpIeUEl8KC2ZpCKUmkBYIgYJAlTP6LMhF2fDg2UaAvPHYBbdl+Kys1s8ZPHXuCaEXY0zEqYWAaFwjnJIEWdpbZVV5lSymoCQvxzotutO1Iop9ZlqK7esiAjFimIQME0Hds0Mw8xqSPKGlpFveKou/Zf9GnmzTZfZUZw3fjjRKkmweu1LZ/kcJcZKiYptL8FSKlAnb1ulsxdBctmNEZIZIT9PpCB560mNlIFGFYqkG1S6Zk7kjzZrhhqtjpmY0JrEre12BsuVzaO2jE0GkVebe5d9HoY0dJJSaUNWC9JJ1O7+rncTf1PX86lzDVQA/fXaB+cXl9+zff/g1ZthnJvAYaYi0QhvfAj0HuxvlokmMoWMyPaUM3RXNmS81na+4FsBd/ZadHCHQ+ZYLZDWnQpVBjpSZlZWDOks7S7KNW3Pf2Hn0sk56Rbb1HgW4bVuXIsjAHXgUJaaWwTMW9zRBlh31/ZgwjDmxoPnQrU3wAnwpygCzkCdiFYO7/nA+JNSCzQ7WiWKf73nTkE/eNeSZcy36qU8jsZvS2irAcoCSUHlOwA328tLFXApJp8Arv+uiFsbzFH5q56X4GdCVLJNmtm48ey7ynThSPGEQJmVdQ/NNr9Ag0nLzXpHvn7HaISvhIEB7pHEZnyWxJC4u/tx2llk8IbNykHwmi8coShiZo6+pzZ54j9HJT3xVBv+Lv70NKWVw7PgZAgVkMwTHUhBpiIsAUlUj4DxgKLZPsK9Tv1KtsMb3zdktB3g1eBFSFi1oSoAvbFo5FLZa0Jf2dT7E08sYrigk8nDmoJDtzFZ21ZcAl4VsCQNTtLQFgXYG5yT4GXsHXoyUEcfOCua7NYTnEUoq8kS6X8s53a50qAAvczqixGeuPWbnpiH7zo4Zph6jFMJU4KcGP8l0eELhLJUpdFXpVMhdKjtp1xR1HqU00nipJlUS5eXbl6usWC1FKp2tFLq0ZjOQi/xvY6dkCWkK1ysHeu6AlRAoW+Ao4rG8sM4t38gcOcoap9xy1tnOeGk2cHXcPcPJA58NzBr5nlUAf+jJEwghWOiMkQICjN15TBtCAbERZYbJSbOabOmxDxOM/XzSRAi7rBa9gAJJmSK2U6nAFwZfZKDNJED+vHgvI/uyFJSiwTZQwoK9Am5pH4Mc6HnwmYE77/7xdCFRfM/q0yCISYj5zL11zs3X8acUgVvD4TooTChSN3XtFKblSZ/R2E6wfevL+9z7xIhuUmPgedQTTZSl05UzhjovOBNCU3YO5YHmROmpzmaqGEiV/ZueFiRK4KUy28XO1vIkGdDLZJouEmxSaifxlj2XLrjzzQ5yRn+O819kscvEX1l452TFi3onWRT2pdrOoJT00NGza+KsAvDf+MDttFr1V3zk43ddNxinZZGNyQBlBIExWS1vnkItU60GUUyYypnqOXGd3/NkgbCbdosskeBBYbWpLGVs55uUGlflwJZ2P/l8FIIL7GIOisL2I64F8DzgzHW3l8sSk+ntai154McEfsTZjuaRg3XwArxMnnhOgVKe7RMTCLcn0Km6K/pSZeGJx7HPtReOmZse0lluMEgUDQV+Yr+LSo29xy7AsSAv/pCcAIzI+iYzkChNqgW+FqRKkipNqgRJBnK3eC0vh5A5yB1Q5yUTAp2BnKykOffKyqRdxWIwLpO75Rou0Ks1TXmhXpFzATw1pt3kurmtb3hF9+zL72lv+ra1Ae6bCMbmm2pSX6OTmCD0sovCFFtelDW7JgOzqWSrCmPfuU9ewK6ZlF/leVasBIcpGHyyhNPLayOyGvC81NM2F+edKlaWqKJ7pQR23nxr2TvT3B6F3s4tQcvYJbj9ojoxRhBzy5dD7n2qhQw9Ains/O2igrBsoysr/iazmWVZQ8lKNqAajnxuvGLIN7+yx5/c0iJKQ/qppJYaxgnZyuVW/elMzumJC+q5mBy0J7OWMVGAO1USpbRldCmz0RLaKUV2a4BMCfJKtjln8nyRdlb0ibKFPPlXrPcuo0+APG+UKcZjFwQRMxqra/qD+JuM5p41GfzZQyeZmW696S8+evt3dxbP06pJpDTVpTQHtClliVsNaPKku4Nqd9VwAy0X3O6+PUVvJWXNgzvaIGduuwVJ/pqMwSnasCosnnXD+KoKbjtOYYK5s57NIGtv87284SBx7jERMX9zR5vUhKgie+kGmGVfY+5sVDQ4E+16WtpRGmmuLT0EPu967YC/+MyYFR0zTGsMU4GfULC4lAaZiKLozNqFk1pUUlqTTp21toOYtDYZuDWpZ1DaypVUGVRqKxht9lgWpcmlRelWd5ZlzEVTSgF0sxoHa4Rk5XxJsXr1qXSAldrdaEm01MFvjb57ywVvunPQPXFro729CvDROKY/GF+4uDLYs7LSo1EPylajzLcstbZTBomjuQ1fXZqILOYQVXlSAH2iPLPQ4hOasxzDXM72UEqUWjyruKsMu8mA7SlROimFHWg77m1jssmYuwwwPYe9Qz/ikYOSA6drGOWjpCSQGm+yTsMR4JMuSn7P+1Pd5pA8gIoTnz1bYi6/oM9Xnq0Tq4BhIqhJ8FODl4hMvmVdOEmmw5FWLlT+pHBYXDjSqBzlkc+E9JTOwJ21synjgDuvBTJZmUDO5BSrh3DAjcgnZq1m77VuOb5ydnc/N88Bditbepi0u8fo8YWY+NZVDL6yvEwSjzDJkHpgA7VUuw0JDtgpB/DkPyuvUfF8H70iTQrAu0B3wK2Kmu/Sdisli7Dd86IEtw0yRdEt7hXglhWAu8N/bLc9BbCLbGXB3CmBZxM7tisoxhDzt3c0WFysI0LP+u7uRThZg+IuW+7x1FVWrXjTWhHHHutmJd/+uh6PHGwzTmsMVEA9tVo8L2dVkgzc+VqhM088T4NbFmeCEXU279GdSmXvElXMczfFcwtwmX1PXbTN5V3+Qsgybptk8ImmlVKLm8rBccs43B4BF+R5w3r+fqoFaezR7SU0l5dJklGBugLgn/zkp/E8yckzy0w1FYm2HzS/4smqv9wTBJPgrj5bxd7Z/5XyZOLRBbTL4pXxYiVjS5fBlXBYPJcrEuVVAR542QAgP986MMtwega/SMXr7HlauXvKdu48cww+eluLsQxQUmXZy+qFOJnBnLzsC1Was7jb5pcxeJJ6hKnHt79xxJ99bsATh+vEymcgJUGqM/dIIIsNvrJgU4rCybA3nf2t6r5FLpOnGrzCQrSjrVVWEqBSUw7rLOayiOKCTib0eFlH5DZIlLMPwdXlayNlFYGaNYCeFaylWjKOFQcOHGP/wU8DaRXgTx08zRV7Njf+83v+YPdoPG8/fGZFawMy0915ab3bDPx8H7PykcXk89Xa+7kliiiAMzkOWTqMnQeZ+dQmz8s3ec20t5oAd56+9/PGZG1nhhQtYnlPZ5LdY5QfceCURy8KQHmZPDET5bGTF24V4dWBRhNeeNaNU/q8Hk1fcMnWEU8ciEh1yFAH1FJbs+1lGlwJu5GrTSzlbKkpz1rO5G4CxebovGKwqX3PDnCygFfZ7hRSlxMC8ulaad7dXxgAZXBZBJ4T5zsHzqr6nLUW/gLkTo+uE1xWWiABiFi/rrX71W/+0Ub8rd858Os7M4AfOsuRs503Rv66nz127gnqvv1rxbixCTBPbqhqJj5Q/oEnnRP3vQIAsgqEEthlH6NyWFFVhmrmIKeskVYOqIvnWZJHkXnhFtwWwOVQIN+VJy57q6yvM4hY6mn++9+1WBzWEKFv5YmzNUu+yrggf65bZZpAPiemYHDrqCSJR7vh8ZPf2uOLj7RZHAdE0mMoJUHWQ1mOfMgY3K2nF7ooozXoDNzaJlIqzorIGNwUQXoOdiVFxuAmmzuZuygUMqXU4WU7YSlT8sCz9Esqx+b5Ve2qBgq3+yt/z1NQD1e48ILwZ/Xw4XvSaPhJyBj8S/c9Q1gL2L/vGN1BQm3adzYOrQJ4TTA/180FtPt6gt1KDS5KkMtJiVIdTFMAWwqkKsePKQfUnpR4mSTxCoDnmlsXQaXv6QLcvpfXX1TZ21cxQRDx13f4PH2oDtJHSkmYl8Y61maxR3z2JZ+zmpCSzbXDRjnIEy2zTZ58rtwz4O2v7PJnn6uhvZChDAilKJI+SgpiJ6CbZHLhMnlluXdGeShQxq4KdpATxWxH5WxBY89BOYumnExr+ziFrMqTwllxiI0K4L/2m+vK5c9zjATeiHR4kN5iQprajSE8gN1zinrNoz8tOR+UwyLdFHMF118DuIsO8ooOFY4eE6uA7i7vebtXweYFQ341gMsS4EWiJwe4sXOyMyniq9It8Z3hQKXmtuzte3Zq1XJH8+kvtVjohFDL3BPhBGPPIVEQonoinfhllW1XZOskOs3dFI+ZtuJbXjPgU/eOWOyHRMpjmMrMnhSZeyPKZmxZcZchY+/8LV2weTlBysudFZU9l9lrCamiOO4uyIUUTvd9PsQzkyYVPS4q4K5kr8lDyeeBuyiP2cRbmS1nGI59VnpTEM6RpmML8H37D7B+3eyuL939wE99ZeUs002FVGs3ln4ttwLX7sWxirlXD82ssHflYGWJkwqwq7O/3Q4XO9ydKrjznQ1y5lYOc69i8HzcRDlywlM2c3nkqODZYzU0IUJ6RXNuWT3oxg/CcTXKA+LWohQgRzjyRBRORtFulnpgPC7dGbFn84jFfXVMGlgWT61M8RwXp2RPt9ArE9x5GS1khXLCCT5BS1FYh25so7S9aHQ2+71IaMmSjApwa5HNUsk1uSvZTHHB54A3lA6QywFfK/yEyHS4rnH0xAq7au2f2nHBax87deLQUW8cpXT7o01RnL5pfn6JWhg8f1Xrqsun9LUrP3IAPjlLIwe0m8quvOf0MpbOhHCCzRLQlsHJRgG7Prh7z7a0Vi64HZBn+9X7WWlozt4qe+15MUrFfOYrLQ4s1CEo5YnvWJeVC5bV4yImb9UxZ9V6i3RCi0eRxwXrIt5644AHn2mA9klSq8X9NMvuplWpVDBnxZLLQG7MmskTLbPnmcGgZX63xz6V5a7VqQKp8xXWFMRUJnzc52TJH+GQXR5silWYqUJ9TditApsxivFgCSnTN2GGm6RIjnpJYnfrihP7hTy12voTk//gWoCe+J0ymBQT7L0a1PnryQAtB7RYA9gFmyvhNOE64M7mE5bbdrAa2F45IKgY8ebpDOSJlScqpt6I+Mp+xSe/1GQ4CqDh4UmBL6rSZPLzu995TYAzob8nLEPXF48Tj6mWxztePeJz9w54YH+AafoM05BAUFxoqvj7pQ6unjQLcrejygaf2QWmLJun0upx7bB2HtTrLLiUWjj6WziBbjWGKoktA3yBB1EAfZUp8RwR6Oq3TaVCURUtfXYCgSdEgjAxgaep1yxQDM+HcPePVVE++QGfM7B0ls4Kc088L6SIKEEtlbN7gxJZbUoJ7hLkedmswfPKEcpetgmTp6pA9wu2tnelbIAZBBFxlPK5+xo8c7wBvo+QKgNVNjfECS6Fy+S4F/rEOclZM0uaGSeTWc58lIUnnqYeUeRx2Y6EN7+8z+NH64yTgFT6DLUiSJn4LLkXzgSD56Kg+llQ+cWm0Uqg8loQKTAKpCn1eLGiSpDamWWoy1VDTsYjE3HJpGSdzHROlnWsmUjIf+DANYoU/SEMRinjkcb74u234fse84srNOteUdmGobRQVxP0qheTHyzXne7rVZqbNQDuALpk8XIHglKaOFZhwdg5wMvJqYVEyZjbMrYpmNorHsvnfhZceiomDCKeOia49d4Gg2EATR8p8spBHHtwjSym8z3do5TXouTsUx0kP5HwcQqwotin1Yp488vGfOquEY8fDsELGGlJkGlxpUGlVKSBSCnkAelEBlGVTo5dvTPpIi2b56tKHuTbvEgmTTJGF9p1UzLy0iWzl8fClBMAqALeJclV4K6Q6Nr62WQZzjj1eeSRJ3jsicNgUrxnD59FSEEUxUUCp+KgPO8fE87ztQA+uTx9FRaXDthdzV2A3OptN5upVFZhmFUU2nau7LnnzgefAHd29/MptFmBv6cSe/difD8mMSm33FPn7qfqUPNA2oZm3ynhrZTGunf3xVonxTh38sIhimbk1ORzTUqgj0c+N1054K2vGPD0sRpJ4mOEYig8/JTiM4m0ZPHyI6zN5G5NkVI5c1s2t6/zHTtcN8uCXLtBZsbgxdBOIdZmb+c1RTJIrI2fAm+lnHhuvZ5vx7KCpI/B4HUHdguSNNGk2dba5R9/7n9sdWbSfV51YVwQ5xdQAXCnrcvdWaAC7IpUcdP0zl1NgFs5d6/cBDUHtO+AOndOrGNiH5WKCfyYx45KPnpHCwhA+gihii4ilW2k6mZdXUcoP2KFPbpGLXRFh2tHgxuBTm3rnp1Cq4r0vTEe73rtkNvvG/HQITtJINaKQSqygq8MdKkpln+HJAvOA5E17lIBev5TlYFey2w/nzwozrW3zNhc2MfiHGpnYKcrVaiy+SSwV2HN3ZzWWQlX/15+8VjyajYNQWD3DPK0Lfgi3zxIIEstuRaD5x/oOf5ICejy98qAq7QCmdDdpVQRWbKgtJ5ygBdz8lyQZ61p5WZTdmeHcgB+Ce4KazuPeWNtLlWUSvD9hDhNuPOBOk8erIPvg7TBZSCMMznWDayqmzhVybsKLeM8KRognBqRSnVhKtEqc1RSj3Hkc8WeETddb1l8mFoWH4uAkQYvFWXgl+Z2odW4pUSxH2DNojljj6VRBmkEykC+m4cwAiNAGlFKFSeoLNk7O6/aAbg0DouvZT44OtxRCGvp8RJr9kPnBGgJ1GZTjTB4oZdNR4oFsc4tt3xpExVglqfJOBLGYalVssYUoKU46cIx/quOSXWPmIn6E0Gx906xe3HefFtpeCi3LlFqAtzOUPzCPVEpynMAnkmUwIs5cEbwwc+1GMc+NPxMnlC0pil3l2DhXMiVM7fGOjrB4EzIFHdzAG3W0uIezVDyfW8ecMvdTfafshdfqhWDVNkqwzRL/iAsE6bZWI6JlcTkQHcALk2pxWWm0aU2GGnPkZHCAlw7sVLO5Do3CHDObfZcr5X/yHHC6uTPBIGufq/0+k1B0II4kSAVRhvU77/3tzbWa97/c+zY8UvzLhhbhiptEFdoY7daTmY6OG8Gdu08Uf7MScCoitxw97DMxwFnj9l44AK4E/d8ZILrcRePXqm7rYNSBbe7V09ZTJXt/uDFRTOD70WkMuLP/r7BX9w6DWEIqoZSHg1lqCuTjaOgaHD2nda4MpPqJqIk5WRYKgFqGUuUtmN+0QpJ1vhb9kIqaRBGs31TxKkFycNPBiTCTh7QQiGELaVdK+6pul2i0CTCfW0cUWPK2qNSvjibT+FenNn87/y9te7ufzORA6hMIkZUmmr05L9RuFBOzyb53kewbee1my645JVf8A4cPDa9stJ9i9ExtdCvyIlJi++5ZIq7pExGyDgHuZQlriRxNXi21LmsXakDNxXtLQswlJJEOdpbFTs9OBtRKTMhSfJKwZy9Y3wv5tnTko98sYGdv2LZu+jcz/++oDJeWDrf2w00hfuiANAEOLR7osu5gnnHSpqPTUgVqcq0eOrxHa8b8Ik7G+w96YOMMEIySn08snqR/FinGTzTPPGTQ9WRTsa+NlivOv9sMgOWzCpLpRGF7pbG/g2TbRspdRagVlbnKptXZInzvIqbKp6Y+J3iEnT/u9Su/ONxzGjUe8vK0olpz5MpgW9oNhReZvKbylXuRrJO2LTmHxYToHcZxGnhcmWJq2MnVwoH4LaLJNffzvMcyHm1W67BHXDbiaw6e7R2oFIalfvdKkHJBJXJk1Ql/P09TfYeKLW3FNJ630UHDWueQMHka1E9hg4T5qfJbUCueOLORCpPC1ubIssUfhR7XHbhmLe9os+hj4REqQLhkQqPoRB4aaZHcwlJ7qiICh8XIXCml4wRqBwIWGlijMm0eHYXpkzxC9DSAl/nMsUJLl2wu4AuM5yrQV4Bu/Ne+Xz1wE+RfYcoFiytJGgR4W3bqPCF4lhDkaR2dkaRqp8AevkHVke+kwFBdeDN5BdcnQioBCoVgJesnb/OWTsHe87cBdCVy+Sl7lZ5EJlvcSI1niyH5iuV4vsxh88ofv/jbUbSJ5+gVXbNZyuIWwPt6slqsPKct+ocyszNMFAdkeBqcFGpT0m1R5L6hGnCT9zc5+/ubHDotAcqBu0RC5+hEKi0dDSkG2xOgDz35g3g5Rdc9p409pjnbC5N7onrCptrYS8oLQXClKvHajMhA77L4s8D6lWPq/BYxjJaQ7cP5xY1wzTFO7uQsLicEiV2QyJpSkap/CMTQF4dDEzUQE8kcornlSi7+twFtphg7TyRUgW3LiWKrDK4V/G3MzBX/G7nLi2L+15EN9L8yafanDofgvIya1Bm8sRUfO/i+cSJWrVqPR/QmdCUxpRls4V1mA/ukdUpWFKRJh5b14/54bf3+LUPBnRiGxAYIxlrZW3DNP8cBlJBqbBLkJf/b3+isqvQGDLmtqyes7kxomxKF1kCSGarf2YZmoLB11rtxARBrmbz5wwuJxidyjG0DS3rZ2F2FrwokcSpXcCUzPfMqdbaujCf1N35e6uWGgfUeatSsWyxBrilK1Fc1i6ntErptE0JF9AOk3s6Y3RdSBMrR/QqqaJUUjx6KsYLYz52S8gf/22bsfatPBGqkCdFU/GEJVbR3YV2XFPkrWLx/OyUVqEL+jxlb+wGX9oppc1clUR71LyEH31nn2ePBbz/760WB0UqJCNtA06ZUjB4WYCVn6yS0Fy70oK7lCzGZGwuykIxSzrG2oeVxI+VMfnfygGtc5JjUo+L55UqVZKtsnfRp+AcO0/awaLe1g2KUCrOnVKkWuSltWUZyloAd993P6Bz5VVOfJbyf87WNEd+VJncOEFmtkW3u2Wgcl0H7UiVHMQOk8uyOrD6mGS+d8zSMvzdFxssj3NwW4D70mpvT1TlSdVZypZjl3XWwLfLNDnIi+XVdRQmt17UE3XiUqK0QmuPJPWYClJufv2AT9zTYLGnQMagFTFWjxfdPsK1C90PuDaT2zxQmRTK61PyYNNkLF4AOtfhhjVW6qxU1tjVREt3gL5ZE0urDY41AE71GPYHmjMLKcNU40mRIoUdmGkn99sP4daysOr5ag1eADj/EGINsIvnAPlawBZVaVJhb7lakpTvueBOK6xdMnfO2iV7+42EW75U44En62hHe9umhlyeVOtNitYsh73d7+5a4WuTeMaehf1VSpTJZgh3slNqJMqUvniS+ng64YYrI775pQM+9JkAVARCYoRgrD2UEHZyGG4G0ZTn1tXkjg+u8h6JXIfnElY6hWLSznhxz58xmT/tJAx1HgvkbG3yn02U0a7F2KKKuzUBXnmiEULjHTudsryc0u1rGg3LRO75WOsfc59/VR3lgLq4CHJA48gSWQJmshXKBXbpomSvlcHLRoxJaYpSSaurc3CnpWMidbkbm7TuSejHHDou+eAtLc72ArvftbSD3pWg3LFhIl5Ypbtd12gN9p68VRI9DrOv2mox3/eo0nVv98+xj3b7k43NlO//5j73PBly6JwEEQMKjWQkpLOJFLhltKJyFZYyqfj/IpuZnQeXzYV9noM5ly35ymx/ls9+z2VKmV0tJV3G4BNsnsd2kH9mF3+icpwFFr/tpmTbRruZgGeQ5DsCSKonrnJ+JkX/xHIxGQ2X9QfuzyaG+7iaO/+dor7aYW6VA34C5MWM7MnnaaG9cxb3pKO7ZYqX2YJBEDNONX/4123ufqRue9ukZ7W3lLZrR5TzV4rPmq8s7vdbg8ldnLtYX53BLF2LcnqYWz7rltHadjOdOyqpJpEeKvG46cURP/KuLr/0hwHjRNoMlJYkmasitXA+m8kA5FgKxrak4Xw++1o4sUHWXW/ASJMFmKK4AEzG1tZZcZoezCQWqpnNHMSTTRF5POcCMhNQE9I4u2Bl1qWEtDZh3VMsnLXT+Yti9DWWiucCdgXguI/OEr6me+JKkzXY29l/Xq4lT6Qpur3tttnakSjO2N9cb2czrovgUib4QcIdD/l84u4G48iHuldo74K98871ijxZg7lF9TgJcnZam77dwqaiU7wCbjAqrzKs1oqnWiK1lSo50JPEo95IuPmmIbfdPeT2h5S1DZEgJLHwGObkk7NjAZKMraVTyuusMganLiVjZiPtsHohyte5NMmBnp9fI8rKRpkt3+40M7EGlir4WgODxXF2VIPV4Cmn5zWjVON1BwmDcYoQ5fy/Nf/oJJNP/MPVP2SqYHei5rzgxmXsVUFlVoWmKkDPgsx8Lp5wtHcxCbUEtqcmgK5KcHsZuAM/ZqVvuOWeBvvP1Kw0EbYkVuTaW+BMkDKrwF1IFodFhHuwvsotH2qTW3JrpbAnEz+T9eJSKqROkdojHntcvCnmm1/Z54G9AZ0oS79qq8cjFPk+EJbjJlvays9usMmd4oKU1m1RWUtbyea5VMkSPiKrIS+A7pTtiiJ/VCbGpAtmZxqAQ5TFJTlxSFf1ngoATbMWMdUa4x07a+h3Nf2BYWba6aif+Mcml9uq+DfPzeTFayf7Ry5PzBpBZnXmRgnu3Acvg0tZDGbPQW4mwJ3tTOA85uD2vQRNyp9/ps4ff7yFEZ71vSvsTam9K9bgaqBX/VoH5M/D3pVKPib1dznkdLKVLd/lQGuNTiVaWl9cSU2c+kil+dF3DDh42uePP+HZ4qMM5BrBWEiUzgdJZOBxW9sKUGc6A7sIFPAXWUo/Z3OyzKaw/6bJVmdTAN1kIBYZm5ti5QMKDU9hKU6yt/18q1h8Apv270iadcWWjR5bNim8nZsUK6Ei6mSFQnL1VVJoofzPFa1Q7lW2emlxr9rSFjSOXDHVx0IKmILZy5l49v1Jx0Tm4FYT8mRiz3qV7T1jNXiMH8QcPCv5xJ1N+n0f6mo1exc1305MIMoET0WOTTzPQf7VONyUGsCRA7kWn5iLnTUdFECXzrYe0mpxKT3iOKXVTHjHqwd87st1Dp7Jkgo2yiIVgqHlPfsZdQZuU4LdFKDO3BKy5E+x4OROSp66t+xtZ7wLR56UQBcily1l4qlICOUgdpVDob0d0FdYtnyal5coo+kNNCfOCIaJwtuxKaAVeKzMFzF98R8bs+rfqv4xF8w52NcAdTnOqwR+yYBmwho0xTgw5bB4PtFUKTv4sRzM7uhvR3dLR5ZImTkmGZN7XsI41tx2f5MvPlq3w8GlbwE+wd55kZcSohoMk3/+avo5R7j4asiuEnoV6M5da2vDlTtI23IKq7t1KVO0JBUSlUq0UMRjj9dfE/H6G4ac+KzPWFsdnlVCkeAxEiDzEtZcM2Q2iMkyfqqEUIEJlWUsi3HZQpRkbyiALGUV6IX9PFkX7qqAisxbawKWwK2fyY9gHjHEwHicsNwX+HWFt37jtpVxNP5cq+H/izjRuBVtz3V7ToninHj7vU0RuLouSulElLq7BL3D2AWwc6CXZaOucyLlar1tbcLUeZ4gpe3UkUHCXQ8F/PoHpkiNVzonUiGEtPsAiTItX2Vw1/FZm72/hiRmieycAZmUKaYiVzT51KusGEuUjkqhyaX1xoX2SBJNEKT83A902X/S464HJToQGWTtF4i1YggOWEwRD6AEVRAIxwvPVtv882arba7DRXYBaMpREiY7/wYQeSDqYIKM+S2mTOU4ClyUl/PGjcH55CYrazAgPdqt1ud27dy+ol55/ZZ+rzN/SEl+xJi46KapBlGCavJljYo/UWb5ipJXtxJQTWQkZflYWH/F7mFuADmRzMlqvAtbMNfbckKaVGzCPKFjey1PLgl+/YNT3PNo027KI207GtLHk4K6hFCSbXJlVtduV+5ZA3QxJKc6jCivea/Uxq9x3PLOpfKir5YEuEF4Lt/KljBH6rk/M7BuLiH0DA88EbAylBNLjSymiJcVh5k2Nkyw5Fe7Wp0LIQedsyKV5QiTK1e5UZYblxQ16W4a3rFV3d/XxtjNA7QhjjWeH3D2/ML3P/7E0/u9epgghCCWKWliSFK7E1exKJnimfMdJ66wSTZ3slflIMaSpcuT4Opvd1uMqjSRk5o7Z3EX2HK1LWgDy6wUNnueBikf/NQUn/xSE1NTIJRFp/AQUlb6Lcv+xufpmC8ki7OErbHkVRfUql8xCQigEmhW5xdmQWY2P9BkzG2MLmtUhERqRSo85DDl5tcMeeawz3ve5xGFiWN3CYz2GZN1V+lMpqROphJnjIiwZ15JCnbPCd/ksiVjXyPygLJ0TkReZz4pTVx/PAOUIHdP1jA73IskA7qt1zFEicFEhkRrjDF4tUDbPkg0Y1WWyoo85nAqC1dFsa6+rgSXpRavAHwtYItSc68F7ALQIgP4xJ4x5T11gO6CO0UWNScptz8Y8oHPNhml2RR8kVuDWdZSmIr2XjM17wK98p0n5EoF7Guzn8mCu9x7XpXRxKwqoTXSyWxKx1kRyp5omRVnSU2qPUJf8wNv7XPf4wG3P2rtwtwbRwq08Rhr245GDvKKdWiZFOmU0QqBwmSgdkCeNz2I3B6kBHqmgIQEafJs5Vq14qb4CC7gcd9jkslNMedcx4ZE2/e8NDVokQUzzmHPddPqU1S9qlZlodwTXgSXawO7AnDXHnTBLcqdvdQqHb4Gi7vsLdMywPRiBmP4lT+d4vCpEOOVuyVXtHcukSrAngA0a4C5OD4uA0yifCJcd2zCgtkdPV4WX7l6fHVtipZZxaF0WVwhUo0QHjLSXLA15j/8YIf7fiakN8q+jJbF50rxGJnsM8rcFilBbiSgM1AbCodFZQGlkWRdSSWIjSi1+ZpAd6RUOYlgNUFUUvTPwRWrhnJmWPSkvwGlFHHaI0kWygvYqTirRrHVf2AVezsB5ySYKzJFVAEt1pQo2vHBnb5EYRxQ506J43vnu/NmnrfnxSQp/N7HWjy6r2Y9b5kzd+mc+KIqS9Sqz+6AfYK57RtOM/Vz8PWqszPhnJQNEJTFTEZkO9xRYXItLIMXQaeWFuSpRIvsnmZSRWuuvTTmJ7+tw3/762miNGNxKKLCFMVY51o8KypxQF5IFOFUqogs6aMdNpcgNMVrmbkmxpS1MAXAyRI9ZsIidG1WUQW2W1mQY8+Q28ywfn2bqXabNE3xLrrym6jXGxw+9AyHj36ORkNmgJn4xysFMGvobkeCCmmKXdIqksXRs5OALgE/KVGq+zOW7J2WutxN6lTuWWBZS/nC/SHv/1iLztC3HmDmeZM16VrnpMxaugVDqvK5V+vvMptbnWJV7q82AegJ1l6F9wrQS5BXWTurt8gliZsEEtZGTKVCGm3rVRJFu6b5oXcOePjpkNu+oqCRUBSOAEhBoiUj8piiBLnBlsZS2JbW887VixGiyHQaXYI4ly95MLzaRQGT5oRYqqOc2a09LipgXgV2kQfrglpgePPrbuDaa66k1+vjJdonNQGjyKM/EjQaVTlR+YeLP1CCvQS6W1fwXIxNsd1zmfQpf64mgJ0ndvINj0qwp1W/W1orUBb7qtvAUsoE6SXsO+rx+x9tc3AxyCYbOdo7qxj0s1knhbMh1ggqocrcOMAWa5+AVbdc1k7UopQsXiZWCueBtdL4E0OC8kIso4tNZUUuVYSxUiU27JlN+Ilv73H0rMeBUwLjuQJLgPRJM5AzAfIMbRmwXVbPffFM1oqS8AoWd/V3Bl7jkERVtuCA2wk2i2BQlD93DikC6oGk3fBp1gNMGuPZ/dkFjRq0G3ZetpKrwerKE5e5qQDArAnw0iXJX5fbXDzXpqJWmpSbjpYyRNtEz6pkTgl0pVKkTAjChLMdwa+8r80n7mhgfFWm45+HvZVzAa52Tqqr12RSx2X0isZzfqfC2hNgz99bXZPi6vAc0G4Amnf+WAaXIn+eBZ9Ck6QaX1pXpTOW/OxvKc6tCAhduhUYvILJXZBbGZJdcNL68TaozLp8cqBntrLJciCuLhe6lBOlgyKqoHaIs7pC5hp+slYlu7ASQy9JGUaaJIU4NcgwEIRBcHaqaW7dtb1FLYgdn7nqX1fS5q6PXXSaO/7tGg0JVZnhlLdOvpfvj547Jk4gKSftwCxTKTPXxD63tSYRmr+/t84XHmxktSaqAHaVvctdg915g+4yuqos1tHiOD+bZO4C/GslztxalAmfNxsdXwZuThtZ7qC4ejzVeeLH3fJaoo3K3rPPk8RDGMkbXzribS8fEIgUkgR0fo/BJBhjSAyMNIy1INYQa7tte1IM6c/v5Wvtvpfa97WxA7WK7QpN9jtp/r4h1ab8HVP+N/m/mf93k8/t37L2dm+YIr1phmNu9YPwrDYSuWnrhSyc/PzRVr3737dsnsOTcbaD8KQGdmpFihqNsox17U4bnYFfO7+jq7/jAle5P8tqS3Ip4oC7lCJuh07umth6k0RoPnVnnfe8v83JBR8CZZm7CCwlIgN3kbWcLBlwV6HK7BNRAXCZTl5DK1YwL1YBfc2EsQPmcl/LUpIUgM8nYGnpNEZIjC5rVGyK33bh69S2uMVjxfY5zc/+YIe3v6aPLxJIEzAO0E2C0XpNkCcZyBMjSHKQGQvmxAG0BahYdQEUwDRMvG+cO9ku0KvBrR1wa1M+DkcJs+s2cW4p+u9/9pEvHL3isovsHj3nFgXKEywuS0aRJAxs9V6urQtr0FkW7Ik0jhm/tu4WlAGkkOVzWXme6ezKKpC9VroiUcoA02HuLKDMLUHfTzmyIHn/3zXZfzCElirckiKxI2UhTYo+SyZq0yeZ23VTiqK03KOtBpRiTSYvXZS1kj2WtfVEwqd0UWTh+VbT91JYkEthCm9c5MyeZd2EMHbqlbHeeDw2XHpBwg+8o8eDTwYcnXeuYJ3rcStDEikY5RdbHnBmAWMRXGo7fD93VHJLsNDg+c8wRb9mfjfZn83lvpXxptDg5fETqxI9rhMT+tCqa5phgpftlekBrNt0BX5QYzSGs2eOUROlDl/FMauclNV62wV2aRNWQV1obee5HVWmJzR4/no1uMtAM0UJy96el7LUE/zOX7S587F6WSVYALuUJoFkYgxyaVUpF8yuLpwIJldZhatVyle9uenpSlWhceVLVrmnLbh0NhvQCAf8TqZTCmNbw7TJwG31uBDKXkZCkw40r7l2zL/+ni7/+U8ly8Psc8hspdFk2luRuIVGeV9aZg2W0aDjqGQa3L2ARVpeEDLjTiGrAabJ3xflY8GzubMycctX1Hrd5/JLdnD9dVcwGNgvIwHWrdvIzl0X3xYNF3693fQJ/YTAz4flZLXYbne7a+WpCV2+KguZ14gYR2JM6m7j6OsyQymdgHJSc+cZSve5UgkjYfjDjzd538da9OKskEpUdbed3Vc6J5WiKpcVXNAXgePqMRnuaayMi/gakD7ZXV8AOf+Z67Y4dqG79Ull5NvEwCBtZNHelg/w1FnDcpJ6tDz4kXf2+NGbe9R1AjrNZEqaSZZMk+uqJo+0KORKrLFyZZVkcV670iWXLaYqOZ7rXtTFu/o8k0NxClFiGEUapUJOnV749csvu/S2TZs2lQCfXbeZB7/wS4N2eOrI5vUxU80xYZDa4ZVF21i1AKgsXZ1IrwsX2HljgttPWepwWWktK1m6Gkg6bokomVsWSZ7MDpQJeJpnDvn81W0NunE2GRPHFpTKApxMmhR3U9HeygH082YvHReleO2schXt/Xwgz4uKJguL8kDT1d7FReA0Jbv6e1Xnjxt4KqvPtUIbZZk5VrQ8w3e+sc9lF42RuRY3pRa3YE8LkI8NRBpiI2zAaSzYkgzYiakGoEmuoR2QlsFpGYhOgrgSnJrV2ltrSFIYx7AygKWBx1OHFo9894/958GO7VtLgANces1bufzFN7Nr9xZm2svUggRPTUiJQmpMlLaKSdZ20uzCtfnKPkopNcqx+yxTO+ztvq/SzAt3spSZ/s51t+enPH3Y5yd/bYYnD4QYX5aypGBw6diCphjkM7lTw1rW4FoypZLYETivSmr/muSKqT6t+uKTdmG5Bfckm+d9m8XAICMLf9w4k7G0Vtn4N0VqPHSkuPrCmPf+7ApX7BlbWtQO0E0CJs7AXoJ8rHGYvAS2ngwqs/7SxA0sHSYuXKC1gO48VqbYZvdEwzCWnFpJ2XnJRfz4D30b3//dbyuOp5c/WRzOorwWpxc8ZDwm8DWjqDQmy4qv1fuPl1obhNCrA00nyLSA1xW/W4hqMsfV3eUFsBrceULH8zU9I/mDjzd5bG9IqiaSOVm9CUg8MdHMIJ7LOcHZsTe/T4yFmPTFnQvgayHvydJRF+HG7dOsvO8y+0TNuLGj97TO5qsLO5lWC0OamQVayCxuyvS4NqRoPGG49rIxP/6OPj/333x6iQCffOBgocdBgFYkRdCYxQWYSjbTKn0bVCqdJXWcYq08qHTjGWPs7xRBaPa+dg5lcexN+V6UgAgSrrhQ89LLW6z0SvFfAHymFaC82kGxcfrQ4sn1e5ZXFHGiKtWFq4NIJ2h0wOwGlmV63jhZzPy165zoKsiLwDItEzs5uEWKEglKpHh+ykDD+z/R5KNfaDLOwSxd9raVc9K1BeXa7F1h7UnGFiWwq8mcqj1YRfZXkyeT7J3XU5tVOlxDMcrYHQwkTQl4C26JzAAvjEBoiZQ6Y3BjEyVG2gAUm+lMU0MgDN/++gF7j3m8/+Mt+jH2gOkMkfkjBvBItSByQI60Lg4i77jPK5rsd7FBMVmlYeme5IGlFCCy3xGsBnrl6GbnwxdQ91NEOMUomTuUmMbBUayL3yugPjO7h+OHHri1P9r14TPLl3Bu0Wc0VqSp241ZZTs1KU+K57qixStyo6KzTUWiuEAv60kmnBLhSBMvoRfB+z7Z5L/8SZvzi3mGMmdvV54IlHBmnDDZoeOuQlVHReaYFtUDPlkuW2EZUfXLnw/hbqFV8V7lpcgYfUKSuP54nvihKllcZ8VUdLnV4eV2hR5Jqtg0p/mFH+zwr97RoxUmNhtjUifoTOxrk4KxvQNRocsFsckCTifATFb54JOJoglpovPho452N+UQ/BzgSkI9EMw1Na+5eiOXbln/4U999sFbd23ftZrBARY6DYKg/pmT5+tvT4aNa6ZbMY0aSKkRUjtyo8rmqxnc6ZYn1/G6ZHPXDsyALTKdLiYuAgvsiddZf6WsGT75mQa/+idtzi5nyRw5qbsVbsayYG+n5mTS817b+xYV8E46KPYt8dUI+6uyuTu30JUqwIQWd4ZkapNNlRJ2G21RAluY0hMXImNtQWEfCjKpYgxCK+KxYfNMyi/8UJfFruTDt7Sgli0dazK5QmtJJGwVYZAxuBalJZj3deaSxba8iWKdylnWuD549t8I8hJ1U7B9XsathJ30MTMbsmNj8NjuLc3P5PbgKgYHuOmm13D/fXfc0+1HD8WpV5TOVhMyq5sShJOGd4PMivzIH3NXpABtVWsrB8iyktBJHN2dokLNwZMeH7qlyZl5B9xi4i5txtITpXPiZQVDk506JchNRe+5sqQIHjP6dvX316hKCjA/788d73vV9h1QCbhsAmYtV8UNPMuAs0jdT0yqTY1n0/mRZPP6lO/5pgF7tkcQ5YxdOiplEJqCscmpWNvAs8h65hnPjM2TzDkpXBQnO1tJ6btuScHuYhWTm+xc1Ws+RicP3Xr7F++56TWvrRxHb/LA7ty5FYFgsNKj5vXwvNIBKQqiKhq7WiUooGDkNfX2qiSPG1RmgBZ2xXCzlTbIzO6B5tBpj//rvdPc8XANag645aQ8sZ53PgbCk6UMmXROVtV854/u4KJJmZJn10TOOZMypSpl1nJJ8qvC3QunnA844Y8bCva2+tvWiQvjzHafKMoS2D03hZZZkkgiNFmwqRA6v2gNAg8BpMOE171kxC//ZIdffO8Uh88EliGgDAYKJs8/pySh/D75F81jC+U8l1CpIZdZijJP+lTqfHLOyMsSNaSASGCIQROwcdNWtC6193MC/KZXvQopvejQ02fpLp5GZGfXdURWA3xtuZLr8dxaFKvAPumcrAFuUVqEUiYoX3P0vMd//P0pPnpbg0i4frfL3Gp1YCnWbmSYbGqo+NsOOIuD7TolE9r7OW/uD9eqRzG5k7CayclLaAtHpVonTg56J7MpMrkiRJbxxDZFCC0RIr9AZClVjEFrVTgsaEnN07zrDQNSDb/4e1McO585KwXIs+WlAnJBkskRra0J48u8ojBrlsgD07wU2LmI8zEjudNSyJbsQrDNHfbfjoHeSHNRYyM3vfZ1URInTN5WAXx2dhbU1M/s2LH58vNi32v6/YhEe0UZRTmhSk8A3QW465dPsHkGblEJLFPHPtSZDaizgFJbYGdp+GPzPj/3u1N87PYGUb6voFgrsHSkiaRaBstzVA3mLOYyyCTYRel3r5In7pXwD7xVgspcdrhbiVTS9vYP5j/PGXytybSuFs/tgVn7GwAAKqpJREFUQ6Fzq9ABeQ45oQpfLknAVynf+aYhnoKf/91pjp0PrD3ianFNGY1n08QTkwFR2opIX+S9vaJI8eeltVnxSaGt846iHNw52HMCEAISYzOYMmyxeecFX9qza9vPnF/srjqucvIN4U2zcvrjXT+o7Q9DmaqKI1KOTKuCl6JYSojqz+Uqbe3enSIrUdaaFMztNBBLT3N6SfELvzfFx27LwV3V2ghZgBtEwd6KtWecVPx6ymYHt8FjUovnoK8EmMULU/mdfwi6JwPMyfqU4jkCXfyuBW8udzTVIfqTcw3XmnNYDvUsU/pFtlPbfZu8FL79DUP+75/ssHkuLnV44a5U0/oYO29eZ7q8yHoaq8vjLK1fJHuMzYC6VYjlloJuWWzVVUk0oIK00Wzs/+0P3t7duG7qqwM8v/X7g588Ob/hie6gZnd+EJRAnchcVoLIImOpS3kymbTJS11ltZak1NtuYBnbcQ8e/MmnWnz08w0iJbPGBaeQqnhc7Xm7GUu5xr3SsJGT0aSD4iD8ufR1uX+R+Ifiu5rNXJXUcd0T92elTeiOeiuynQ5QyiYJm/wxE5lOt24lze1Dk1mJqcRLDO9684AfensfL00z+zCZAHlex5IHoxnITVbDYnIbsQR1mr/OU/dOhjMHev57btCpJMw0JVfvaT8x6Pd/8rmO7ZoAn9n6rTxxoJUOzItMd1AHQyWFbutDHN97zbsu2dmVJXKSsTNZIqrgVrnvrTR4glvvqfORWxuMi4pAtfadTJpInH11npu9c1uwst+OmAB5ztQui1MFdP4Lq8pkvxZwO784SdyrGiGcTGZRN175vWz6lcPahUdepPCdWhU3ja9XM7jJ/XItCVLDu9804A0vHyJSxxufBHnlri3bmiqTJxkDx27hlWFVbUr1fVF46mCYa0u+6RV7zKWb0vTf/ss3rnl8vec68DfeeANpMvzI4Scfv8Q3y03PS4sjbxwNanVbrqnzJd9NxZcsLibAXWhukTqa3Glc8DTCg0/fXednfneaZw6HWcOwep67lSaBqI49LvxuysCyOg7CVAC9KqFTBJ+lPVgptFoD1F8V3BNpzMkxEkXHLo4mNxOgN1nXj4Bqg7KpPOY6vJQ2EpEFpjpTvVrY99D2PGoNCFNociUSrtoT81//bYd/p+CWu+tWj6vsU0+4KtULWZJiQW6EQOcra+Wo5Z64KI6CqP4j9l0tiFPBBa11/Rdd+5KPtJr15zzGzylRZue2mv7S/b+zcev2hXUz87QaQwI/qZTHionUuihckGpAWWYic+mhS5DLtGBytzpQKQvuT95V5+f++xTPHMnALZ8L2JaCpZzsr6RoZCizl88N4IpL4siTST2+FoDFxJPn9brN87w/UaNSaYCglCqV8cuFb+7UjU+weJ791BU2lxOsnj8vWT39f9v78ihLqjrN796IeGu+l/teWZlZWTsUxU5RFgUMCCKKNIPS0zrq8bRio7bLqKOt3dL0UVFnFOluGZ3BjR4HBYZiVSzEDS0akAGqoPYla0uqMiv3zPdeLPfOH/feiBvLy6wsagG67zmvMl68iHivIr74xff7fsvVI542wbJuB1/76DjedlFJlvDoPFzXxwMrLrRymajl0xWi0ZWAhyfp3kxGSMsuwVCJ4uC4g+VnLDjy66dfvL17fmfVU13VggPAEXsFKvYIBvc+jgsXjcPz6uB51M8vUKpDvDdeJJ9EWmoaKWAg/vuw1i1oCfDgk1n8zT8X8dKu2cAtVRMJ7jA10bi3KloJ0ZSZwR7CbMRyJyQPajscPQ+PSYOaQuK/l6qC3yzf30635oEmLmYijlpzZblFw06ipEO5Hkz7LxFIdUTo5MxPnyKA7eH0Xgdf+cg4OAceeTInLbm8E5nUPAkTTwC/skFcJ0ZEIEhNJ6I1h4NuvQExKZqifZwDNieYLJfwjtU2bnhbFxrr6/HRGc4tneEzuMb8yoHB3If3Dp49NTyeheOakrOp7w+rKDOCO5Il6AduiBs4l1RQFZgEj/4xi8//owJ3cvg9/B5+romKVCoLnqh1AzFKEnIgI2D3Qe7/1QoftDsg/HZ2iEdVEx75LJSjEgp3kzhd8Xm5/kKEi+sWXC9cVlw8eK/nmTPlfKpU2wrFil4HX/vYOK5607QslGCa1Xa1v27EmnM/8mlzVLXk6gaV0jlMypExOJrzBNdevGyqrd74cFN9c2Wm8zujBe+qn2C9LQufmV5ijA9s3Z1PW7amikjQAOFAjq5vazkkYR3ck+sk95YOJTEYuEHwi6cy+My3i9i8OyXavCZabuVoCg5iSMutl6AFdZZ6SD5svcN5NZrl1gAb3ADxSZNCgI+ScfVhZF2EhWgfEP/ix7uwJuSiaMcROSkBbVd1nAHv5j7ICaDVbVI/tiF4usg4hB8QErhVT2yPaL+9wnFaj4Nv/PU4OCdYvyEjKiFnNJvyfHDBBBz5m0UqbrgPJtWshbp+KYOhUJvB4qVvGc/lep45fGiKzfRVM/6UtrZmNDUWh/IZ+/qG1rOdUhlwXBOerBxRuQBBYIeF+HRI+osEb4jGwZWTyQ2CJ55N41PfLGJzfwpIz6KYSElQBXRMhKmJAnBQoaNp3jNY8mQuXk3fJnFdHHMfHDMBH4lOaCiwA10qjH4W0cYjFlxVAvEID/dUrgoPMg+5VFQ8ZcltguXdDr71yTFccl4ZRsySJ7x8nh7w8jIT9MPXwRG0WlaZg2mTw4CLS1af4RwZda+30sWhTL55xvM6I8AJSWF4aC/S+YUH0oUVu2zWCNsWqYzqQoZbrgVJVGHOzXxlJAx4wbuJwcBNgvVPp/Gxb9RiW39K6HxkJloSgNtC3LE0EoCenO/NqwBds97++dC4eORmmMn7PGqpMIpp33EM6+FKHkQoP0Xp3mJbPVCiboAgCBSOckZrOJV0GEwlrqRDmgByCu4QLJ7v4J8+PYbLzi/D8DwhWsfArVUGaZRFdz5tpoPcD6DLa+lhflsBay9YuuucFb0Htu/oR23BmvHczvYwASEG9u3+Y7/juh+sbVoGzxNxWQJEaImngVuviGdhzi27ThlUFCwYFgM3gV89k8Yn/nsttu1LgSuHkkbBHQ7mqEeXKiDWK3R0KTBqveOpsBG5T3HuJBlwRmsdTK0R8Pbq8Ob6Ap95m8B6K5dMqSVJIf64FWcRUOuRzqhWHryn4dpOCewA5AaYZwqQVwgWdzm47VNjuPT8MqjHBMkOWe1knVyJ+R6TeeU+J9dmGiEA8zycf/ZSeJ77wZ8//od+0zQw2zBn26ChaR7syhSsVG7g0D783pt64SLwMT9FNlZDmZA4pVtySjwQFcRJAXuPGNjwQgo3f7eIbf0p8FSSA6mDW4Xldd6tnEv4zqUfdqcJ1hsJabHVpEIEG4RqMROA7lt3PttZTQayimgGVpoH74ke4Qw0cbFeAppIrq3m14RqDCTyToS1V1yc+/+nAPjyIEwoUozJXBAqpwZhRBgdqYCoXCsi+6AQh2Fpt4PbPzWGL32P4V+fz2DvkAmkpIrCuCwd1P7TqkRJXmeXEVSkYaAyxcLjBK7roqGxFitOX/r7q69cPTA5VUKhJjfreZ3VggNAKp3H0MENO6x08fb6ltNhUFvOeRN0dTUT+nKHi4MZCPVAVHZgGtg2YOGWO4r462/UYeveauCOhOFlyJECoZ6C0Sb1vuYNzZJDdyzj6gmi2+jA101shLOQ6AcR1SW6HAK27lVxzRrP9jeUcxLWy8WNEq7CZ3JZb9YZCt9rtESvEmKcSD6sIp0kZMn9ImbF0W2CJfMd/ONnxvC3N41hUacNVJSl1iKeLFK5r+WWOwwoMcHLHUZgu8BUxcOqc09DfV3N7Y+s/9cdRwNu4CgsuBqZQg8Mq+4ZeOPrLPRfa09thUGJnAPHDdERokcqldXWrLmR4dhx0MQtdxRw3+M5lD1DmOIouNUsBCHLTSSAA0lQWW5/wqpQKmy4QkcFfULTigdYjXAUDaAaJ9dBO6McSGIL1QcPNos+AEIFyJpFV9vykJVXAJW51cqyq3pItT1R1UCQM0YAUNo4VeZbRTupMN5UKSrMt+QEon1zwCWEJW+t9/Cet04jneL4+38uYudBAGm5gX8MDj+WyTmEbi4tOSjKoLAIh+cynHvGIpxz5pJ1552x4JnDR+JZg9XGUVlwACgUO2Dhlf6G9lUfd3jLQw4rwjQcpK0KUlYFlmkH8+EYruZQBn9FsQLHzgMWbr6jKMANQ0qBSXWUGsg1cKsCBt1yG5qVNjRgxwoZaNh6x/8GTdoVdhNzv0n4vW/9j/rUJyA5BGrNKisgy6PHFReNPyNq3aN8W5MRGYltqysq4kYJVwBx2fuQ+1VC6mUEtZ7MgFumSDOO6y8r4Us3jWNBpyPaUXAmrTbTmgw5gfPJbIBVALcCx3Uw7XK01GfQ11n70FVvXvXx7QfG+3u6O44/wAHAyi7A0IGn99Y2r96Uq2lFOjWCTGYCaasE03BgGiLzzyCqQNgNopQGB00Dew6b+NIdBdy7XoJbV0tmCsPLi2tCVecEvFvn2kaUV4PHrHRUOdGBHAKuBlpdXUnSusNKytyEwnCCFYnxEa4v+/yc+Pw8ppNDi3JqN0sslRbhsH8orRaak6n/DWUhEo2iUNnkUzT45NyA51JkOMe7Li/h5pvG0d3iSLqSENpXQGcO4FVA3CmY7gic8ih65rfgHZefs+lXv35678olnXM6t0dNUdSoKbYjU+j52hPPvLjgwV+N3jAwdAi3feQQlnQ6ouk64SBQ1ETkp4ACNqd47kULd9ybxz2P52ATqhUrRICcUJkD31Kr/B4tx5uGc0z0sHwi50bYMieCmiRgNWLB9eOF8D43fGvAFS+V+M81Ys7losK/bokhG1X6N4eUV3waAv8wMpSvOZsAFHdRFTRCBhazSVGIGdzEsXgE/OHzAgqZJsBEOTIVTWtTJsMNl5cABnzn3jz+35YUKkyF71VonwlvlojZ3pZ2TeHrN06AG/OQqa3/6YKFZ31tcmLfnM/rnCw4AGSLffjWj9aNuameD0yMdzy5b6AJY5MZcE7FvJSmC9MSVe+EMhBTTBv9w0dyuPbT9fipD+5qgRuzKrgDxYT7SVQqWqlX7ARcW7xHCOgJcqEPWhIDtb5+LhRkzhiP7BCVB/V1IcuOJOsdtswAfCczFgSqRmdClEYL5UfoSkg7Z4Z0VJVOTn1LbnkcN1xewoP/bQTvu3oaeSqTuyFpiuuJl8cAGMhnU+htq0d3a9eTa85p+kAt//HYymXz5wzw2YXEhPHYup/hi5/5tHPxBYvfs6ihv3dx5wSKNTamXRuTLoPDgZRFYKSAKY/iRw/m8YU7ChgeN4UDUw3cMGYFt9K7TRKkwep53v6kqn4nrWiilQR1ZDJW8ZfE96ES4Iq7UxJbR30JMegoRdTx/HXB5/pTBRp9ikmZoffyexHIlVRb9m9Cfznelcu/j2jCDa7TN7mh70D7rCyYCU0txJ5Wcmc/HgDx3ZyLp25NluNNK20cmSTYvM2CY4sck2KaoZhmSJkcNnLgKICw+Th/1bt2TJQa7+xacMWxQHXuFEWNZUsWgHP2dME8+0KzvDO7dR/H9x8uYmScorbA8M4rSmht9fDIbzP46p01GJ2Q9ZMzZQQqenKM4NatcZJ6QggPrDkQpy2IXPjY+kgylf6XhD+Htr7a0MQQ/71PVTQq7n+uUxUOTRUJ0xTO1VQjQXRTTfshFBXBBoSKQsCoVFzksRgAygBGKQhTorfkI4yAUjGFuJBVNHVF1mcSmR1FIQ0ytG1choYCwz/cOIGMxfHz32bQ0spw/ZtLqCswjIxb+F8PUIyX2tDVc26pqaXnaUrnTDRePcAz2Ro49tQX2nvX8Id/8dwnv7/OzazfUACvVACvBCsluh794KEsJkszgVuvo6Qz0pJQVQ4C0MbK0EJzDEXqLBEGr0KYssLVck2SkO1buNAH1Ub4c1U8q4M7afiUIgpsHr8ZkrYF0dcTvy2Dz8UBQCVYgQVcnKiCeSUniikK1ZcRBFJiFOQECAWDPBltNagIOsHlaCww3HzjJLo7GZjH8bG/mAR3LLglirbiKHaPLitf/46LbrNS1hePVvM+rgAHACuVZ3/15XU3T00ucyZKmc/V1r2SGptmWLVwBNdcWsL+QwbueyyLyRIJABzLJ4mG3+Pg1qvhY816JHR0wMcsMRB6ZMf6m0RAG3Uio7hPfixH3x89C+dAKPqpRzX9w8SWBYpDlT4kaVnspKy47nCqQmWq6eFq5gj1e3Q1Bpz4jqvAcDLIhQUPRzzVk0Q4rR4AjgkbeHqjhYOHDFxwmoMzF6QweKQBq1f22H/W0fh1K3v/l0nNB2fMFpxtvCqAA8CSeseuX9B0a2dm2m7Pj9zSM+8QveHSKZx/poNnNnMUchwY08AbA7luxUkiuA35Q8O0JGy9ie5AVuWxYXCG6EmC4xm12rpCGKU2oYNGuces6E7Yz6cgMmSvCyQk6CcSqC4BTQFIoHwo9Vyz4vpTwLfwPghFlJgx39b4DqrBqFBdKPPViSjIxT5crgtATjgT+jlVDV09TEwTbN1j4U8v5/HR2/K47k0cZ/V1svndi2+hEz3fLB0as18tPl81wD9x0zvx8188XmpbvXzdhSvzf1/gg1jcWQPmuihXAI/rljkpQqloibiyMVoChOoqY3KgBu7A6YsUDGvcOynBikYBLZdDjDoE9jh6ScKmc5dSqo+QVY9EMgm0iCXXOLiy5iAarQkA71tvKEpCQBkFp8x/qqhtCAAGDjoLyAkTT1mmeIqKeBItYsk4OGMwwJFJAzAyeHFPHobLsbhvFSfp+ev6D5ZKq9e861Wft1cNcABYuqgL1Grb7pXTNzlT03eUKo/SsYMU370/j/6RtJx81Zchwlw8EqE0EDiUVL5PAndIEiQJKkkE5NXoRpRTx6y8v57EeDwix4pa+LkOHnlFP1TFXYEzSgDCQxZY5+dcepU8tI2WdqtZb0EfeLCNz8EVleGgIHGQq+NQ6id1Qc6+54f1CZW0hUuaxOE6BubVcXzo2knsPlxE2THxlkvPZW0dC29asGjR9l17Dh0PaB4fgPf2LcHw4Fa7tuucO0f7n8sNDDR+6xs/qeCe3zaJ2jviwmfKJBncKqdb5JjojXriTqTSvgNLHDidPgB9IPIYRYmnyGr6d9QZhQIzB0CSLf1RcfJjHHrgRzmmEeeRKD6uqSlqA2WJdbrjb6ZZb6KAT1SwR1weAX4OCgombDU44QAj4h2RmepMdE0gHAClYtY13fGU3FxRJ8ZNGKC47iJgdHIQDz87H5N26r+sXXPenc9v3OaddcbS4wHN4wNwAGhoXoLRkX1eQ9d1O9dv7Jp4bucThVx2GoV0CbZdxqRrgENr0kODnt1BkXBQS6m07FizHr/YOZIpWOWl8BXi1ojeBIhb8AgokyXAZORy/zuI/136ztFkqdjOujKCgJ7rVlrfV63zt9Npisoe57r1D1JnoaKd0jkX1pr4qbAAlw32xS/RjDIoI2CECdcK8PseQllyTmSbZKXRU6lWcVRchulSBtPTRbz1wlpce/WFE2bhkp0HBg54Z52x5HjB8vgBHABg5LB1p/PQZatXf8QtWbdteOoXDSsW7sWeVyq4/Z46TJOMX8hACYFJheVW4NZnOktqbayKFpK7vEacSgmqeLQycgNEUl6j2nfSILFlkrBubkMHfbASVZ1WZc11q84jN1GYlojbQQc95yIsrqblZlQ9BbliP0FOOaBxbqmTE2HZwcS0hOqciqm8GTihfimdOLcc3PDgcobb/28NNu+uxVvP78Hai64cbu867xPMLT3k8uo9To5lHFeA1xUbAQDDIxN3vf0ta8zTF/CvNdDp5k07t+GO+wgAMdOwQQgsGhQJh3tzBzo3SQB3KDOQxAEPiQU1H5AOakTBm3AzAAFoEbk5xEVSFyv+/ye8ygdzGDxxnUIwNFRHeDQhgt9qm6l9FS0hUFQmcDx9R1PyFUXEdFDrdEWNaN9NAtnQk3Mf5IRwiIltiS9XUurBIwYef64eo2OL8BfXXDo4r3fNf63Yzl3ZfPvxhCOA423B5WioL8Auj/9g+YrVdHT/tq8+teVgs2PUwKIZUIMgRYGUVj8Z4ssI6AfRwK13porNX5noWGrglr8rZJWjwEUUyHE1JIrdJD6euDzLSAr66A4jiYFZWy9dz2C/cE8U4gvawXqCYFnsR3zqLsI9Yn4c+EcWOjmjwtFUQ4Bc/DD1e4iUIdW1ZIyIel0t+9DwOFYts1Eylg1etGbV50fH7R80NBRxIsaxx0BnGalMEZOHf3anyzOf3bR/5XBtLoPGDFBrcuRlf4uMBLpFxcsvO6tiuYN8bh4BcxDwIfKyVHMsw1a5CgqTgKpb95nAOxcDHjHXQWLVzNwePLwNjx5LS8YKkqm0ZSDxvSry1es6VYotA9HywCMNPWVuOJcJVowReB6F51G4ngnHNeE4JhzHwuR0DkPDjXj3Fb3DzS3Zz37zX35154kC91wvxzGNz37lHgpm//nw4L7/8fCGvQWDWrDkHJq+1dKDFdoP83O5JSiFFechSx7VvWkE/MnbyL+UJNw8Imyv55j766jYR3+vb08pCT6n4aQr9V3qc0Ptm5T0JemVLn2q9AODBsvh+Ur1BLPgvVrWZ+KgkeXYlI808l47rt570n/qak87ac/lPaZZc8JhGgyu52KkfNbEvI7WD6fTxt0tfe9/VZHK2cYJoSj6WD6PsY6mwk+f3trmLhn0frRjx8FMNk1DwTt/3hW9KBEJ1AOBtY7leld7IW69QSKqSJSfRzzM0DH0bfRdI9vPdZCksHwk6YpAlwb1zwPVhGgfBtY4iIT6jqPGuXVIgshmnpT714BrkqP4eVRwFqU/BnsDiFTt+4fl4LyMhubOsjPR+peb+hfcV8iOnFBwA8eYLjuXse7+e1Gz6Eo+jsyWjtr0y80F85rhIyOmZRI/tVUPovhXUrO60Y6wOuB9y5zgVM5mvWOW3m+hTMLHoJG0VO03KyWG+NuJncLHIZHlhBszWkqXcKNG1SOQ+LpqkmcgWZKw/0H03udym4gjTWL/aje14t0ggFbAzBiF61G4zIDnUTgOYGUXl3M1be/pPb10f1fxFW/B6R840fA78QAHgGd/sw7vesd/5O+9ZuWW/YemtpoWvXp8bNRKSc8xpM0C8rGGCFg1xQQ6UCW1iNAZ31Gl1aw8iQGMRj4LQE+Cvwn7+xRFARkBmKN54NUArsCqgxZktidUpJVcDOgk9ISJ3hyhHPGY4BkOapHodqGbKHjGKP7uMTGRcMU24LgExfru6Wyh831lcsV9wwfHWGvfh04G9E4OwAFg/c/vQ0vvWrSnd7/c2DJ/d9Yil4+OT2Q8FvSvFnOZE6j2OUHkMtkS+2VpCF+8pHB9nNKQ0PF0sKobJw7mgLMTGl4ObUOrW+6qFhxxaxyrF9WXtd/nA1A7fnidBt+oRdefQFGPWjtGCNix4wdNWAFRqOx5FLZjoGxbMDLdY1Z2/o0Prp/+6ZlLXsGCFf/5ZMHu5AEcAH79y/tw2dvej1SmblNzU8PBnq7WtYNHJnLDYyV4oCi7ovGL0HE1CqM3sE+kHJEiYhIGfjVwRzm+srbR2R5oDKRJy+QolmcAeOLNFt9G9x9inyEAc8iiy5VhyhG8F+uELh5EZ0no2unUB74BCjqIGYbqAw9BT1wOajWgse3sI42NrZ+oLWb+d3MjxWnnvvdkQu7EO5nR8cmPvg8AMHRk9McpyzTrm1pv/dm6J5oHh8cxVAbKDkXektPNAdLTTwZ3YD3i/FNdo6hzGb5qCF14f/DgOElSIiFIWHvihp/mqrlyvtSHhN8f+b/wyO9V2rnQycUaXx9X/FALrfqJV75TGkRCAdET3jQ8ZNI2Kg7FkdEaWOl69CxcO1jXesnnOHN/nM3XncQzFoyTDnA1mhrrMDI+9f13vn0Nqc2Rr2556fHm/SM7cc/vazHtFpAzo7nfiFmtaMcqBUoatVTa9ybN2JB0I8wG4ODyk6SV8S+udpxo6mu1w0WASiLH4EQGfLS0WRFylxFOBPkkhGhJWCqgQwDKA5FPTeWnKnr875HfKTsqg8gIZcpy4XqT+D+/zsIiLfizq9882NK1+vPg/PvUrDuRUJpxnDKAA0B9MY+pqdKdb718lbtmJb41MfxK/Z92TGHznhqkDI6UITRcQAM3wuCmGiBDlnUuJta32KT6rhwhKuB/zQyAPiYrP5diich+qkaT6Lpi1e0JZLjSRy2ToNafWgxc1mGqaKZKoQ0aelJpwXccZHj0+UW48bqrRlrmnfeZSsX4UTaXOZazcNzGKQU4AOTzWXBu35WvOXvY9l7sW3Nu9ut792+ysiaQSwfOJ/enm9bATQNrDUSoCeIWOsZXERxztpFIceJbxY59tEMyhfADoVoClp8SW3341p4Hh/UzDv0wf/zc+W3iiLDOhMDnJkqZAuT0fi6FzQ24LpCxDPQsuMy58KyWz1685pydZjr9SDYzc2vjkzFOJpWccTz0m81obGpK7dq54/3btmz/zgvPv0Acu0ynK8BkWc7LTkTthCUtu4oGAgiFp/X/WFJEsrq6EnEwEYlY6soJCUcmVeRStZQIPiOhfaORzKgipEcy9e30aCaNRCvDxwlPtR40QApHJJXzruf/AHq6gDyPRBacUAbTZDDlFJKMEUyVUhifMpHNWmzhomW8rav3plxdzw/Bhm1inHuqISWu/6n+AWq8/ZJlsOxB++wlbXedubx7+SUXLvu7Sy/oQDrHMFIWs2t5PODYluz6ZmjgBcJWSy7OOpSVj2q+uuSWaOZDqyJW9dWYDh4cgs/wuZ5nolaHOswezZMJcXALHZuIQI0npuzzpLplUIa05aImW8LQ6DQOjnaAZk/7u3ztwuUeeu8aOVx+zYAbeA0BHADOO3s5li/tLVFvZNuGLZfeev1Vnbecf2635xADoyUO2xXs0DQAywRSJoFliLxyql0k/0JXGSTyCiVSIapVzHyc4O/cEF3tyHp3qqMepNqxwt2t4rtxzX/RdWzA8whcV2jZjiOikpwDpuEhnSojk2XIN8z3DpW6b7n8qvNv3bh5fFuxvrfU0Lp8TufhRI+TqoMf7bj77rvxm3su4B1L3vubRT+8O72gwzm/f3DYHBvzkEt5KGQJMikC0xTA9uc050EFuBrK4usRx6RgCaXJ2nIQmq+mg2vJV4mat9YJK3a8mV9Vo5i0+j7RaGZYI9f+j1QlawUdwAQ/J2AeheNR2C6F4xJ/6siU6aFQY2Oa5zGOKysXXXTDNy67+IK/pfWX8w+859pTDZvEccqdzGqjuefdODw4gXlNY19493X/gbZ39F546z89RpszpQs9e8TMSQfGdjg453C8YI5zJbcZAPxkpRkkvKhuXtUW8yr7RT4+Gqc1duijVE9m8nV131NV5PjL2m8UxwniDIbk4+LpIXpFuB5BuUJRdsTU4JbBkM83uqlszYb69uvYhHf6hl++gC9wdxzEPHHprq92vGaczNnGv9z9IEzTLJRKU98bPLT/XWMjg3RiYhoTJY7xKYbxKYapCuDKCbIMygVPl021xCtwMPVclnC0EnGLjbCT6TuSFBHHMimlNhzmjyV5aT6EoVqhSycx/F5aXL9folZ4TbVCEd+hhB8kC6fRKgddOIymyWDJKCQI4LoUU2ULYxMpjEwYODLGQI0Muua1skV9835WKOQ+5DjuxMpzrz7VkDiq8Zq14NHxnj+/Bnv29E+k05mPDQ4O7Njy8gunDw6NXvvylu0YmeAYnKAou8ItswyOjCmjoTRsVQMHUg/2RFh0kjVNMgXadsdqufWoqa9hJzwl/KaYs/wmv/JHHjukjZNABlQHoAQwTQ8py4NleOCcIJPmGBmnGBxhaGrpRSZbWLfirLM2dXZ0fLtULk90zZt7l9dTNV43Flwfe/fuRyab696/d8dt23dsv/bJp57HrsFXsGFrFg5Loy5NUJ9mqEkDmRRHyhTWOzEJi0astzwr/k2gMgN9S6oVMSirrhc1aNachI6dbMF1Kx6WCWXf88QCCB7m4eDh3070WAFHqFcjEcUmhsGRMhkyaRe5rI2aXBk12RIqtoM/vJiGy/pQbFiJ7p7F65YtW/SJycmp/ta2uTWffy2M1yXAAWB6cgSWZS7csnXXGbY9/vGf//HZtQcHXoJJBvHjR+ehrdZAY44hn+ailXOEvAaAUm2JA8DoRjSaHKXr2dUA7qfNhlooIwTwqAYf18EFOI0owHUdWwI2mlrgA5yqY/DQ04VArE9bDPmsg7rCNFoah/GdBzzMa6vH2actB6yLf5fP13y7sWXBi8xzd7S1NpzqS35M43VDUaIjV1MPADs45zsAbPrdpvH2z1195ndHj/xx4dObtxkDrxRgFRgyKQrLFBfVY6rGUD7CE7ph6cW3AACul/UmD11q9EVDEqY+MUuiF8lDKybWlkPfQcKKkJ5opv1UrQiZAHJ6P7W/mr3Bk34K40RMWGC42H6AA/k3e5095+xYecYrN5LcmwbAsc00Xrc2ULsab4DBvVGAu93DQxs7tx/M3/u9u54qVsb258GmYRoUjsvhuBxlG/AYh2kQWCZgmUJHJ1Sf013L1IMWuVSBJWm9DVmDaRi6BY82vA9ojbCc4pTHI6wRC05VBDGowzSoTlt46MZSjTO5piKZkoZYFoNpiOhjqWKgYovgDQFDS2MaSxfXTWWb1o5v3M2uX9i17IBlGP29Pa9dZWQu4w0DcADg3AVg0MHhsdqtW/esSpnsf+7evdPdsnV7w8ArQwXbcbFrwIXnAcUcQS4j9HTLEOhjjMPzRF9zPXNOAFMDtkF8VcagBFS+D8Ad598BX45TlCQeblDIHGtt2VAAD9QR8f8mUiIlELNoy3Z4Bkc2zZDPCp7NPI5dB2vAYSGTa5jomNc33NfXZ+Yy/IOF+t6niFUc4wysJvvGgcVrKpL5agchJgghzC1Pjyzu63isvq64+NFHH+x793+64cuXrl310toLWp+f12OVPTMH22GgEPw8k6bIpCgMg/hF0B4Tlp4xLgJIDOAsbN3Fl+qSolbgoMU5feVG5VfzeMQyNM9O5LOgTbQ2bSLl2hOF+36E61GUbYKpEsF0hcBxOSj10FBHUOJueXCq/vnuvnNeuuKq67/8wAMP9GWyhcWZ/LzHyuXSSD5N3lDglpfnjT127+6HaZrkqaeeQvf8SSOVzX5n/VOpxYf696ypTB02UqaHdIqDMxtHRhlGJzk8CWQm2zbpVtuUlMQ0CAxDpAoYBoFh0CBiibBqIlJ+FbiD6nVDcyzDeruYxsgyOCxTWG/TEJTDNIQCYtIglZhx0XrNY8DQKHBgkCOTSqFQY6C1ycLCnnqva37rk09vs7aNT5Ruaq/Ne+eetwqu6/LWtq5TfYlO6HjDAzw6BodGkU6l64eODH3l1088kRoaGvBam7Jnt9SXz1m/4SA2bS3BMkX3Uw4uZ3OWOS8GYJoC7ALoBCmLwDIpLJNCTLYUEBtD7qOUE8YA5nF4XDSnNPybRVwI5QBTCqRMIGVJidPgME0BeNNksEyuBWcYOKcolRlMw8XAaAa7DrWhvd78U8pyn1vUN89Y/aaL7dq6hr9xbHskna071ZfgpI7XrYpyrKO5qQ4ARgD8FQBs3vh7ME7XttaPXDHOeq7v7nGXWMYkNm97CVv3GCiVyjCIh0wKyKRMGIYB2S1Y9gIU1judEr21bIfBcZmohqEUlAoVhxLAcQHH5XBdJr1AAtOkYtI5iNn0bJf7abopC6JXqSZjUnjgzIVhusimCdLpNPYcAto6zkJzQwadnrHV3FV378L2zC9dj//uqisvOdWn/JSOf3MWvNo4MDAKAFeCO30GP8geeOQHbOPuRb3tbY2fO7hvH2rzBvbuP4TpqVHUZA2UbTGfY23BRGNtCvVFinzWw+ERDwODQqUp5E0U8gbyGWGBp0oEg8MupsseTIMgmzFQyBso5jlSJse+QYbDQy7yWYq6gonmOo7aGg8V28N0maIm56G1pYB8TRsy6RLa29tRnh6+9cHf7dt95ZUfoH1dzTSTNnYCeMxMvz516+M9/s1Z8Gqjs70OAB5T77fsPoy3ZNJ1u/YObNiYM1GbIc6K05d9MmXizZk0wdikg4fXPwtCp1FXzKCtmWNRVwnPbJ7Aho0WanMmsmkh0xWyDI21NkanHDy7hWBigqKhSFBXYyKXNlHMMdQXy3h5P7B7MIeFbQY4SaGmhqG3O4uaxvMxXU4hnwWyGb5+ulT5ViZVtlo6lyBb7PjdZ1ZWRok171Sfwtfk+HeAVxlLe1sAYBTAgwDQv28AALaAs1bTABufsvH4k1tAuYN02kQ+y9HRNOUUWi66ecUZ9tuypuss6EihrYmgkPXQ1lTCRGUCGwezmJ7MoqMeyGcpWhst9LbbaGpgVsO8/MN/+cXnb+5rT1uUmkilPNQWs+jsXQ7bySCVAk1Z9BA4312oO/6tht+I498pynEcP7n/DyCEtPbvG6hNGxXe05ZCayOQyzC0NU5jyh7DT57IozxVg/Z6jmyaoqXeRHebjaZ6kHyxYwycH6ptu+RU/1feMOP/A5rt2QvkyjTxAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE3OjEwOjIzKzAwOjAwEd8AlwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNzoxMDoyMyswMDowMGCCuCsAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 50227675
{'hecke_orbit_code': 31526571814683088, 'n': 1, 'trace_an': 12}
-
id: 50227676
{'hecke_orbit_code': 31526571814683088, 'n': 2, 'trace_an': 0}
-
id: 50227677
{'hecke_orbit_code': 31526571814683088, 'n': 3, 'trace_an': 3}
-
id: 50227678
{'hecke_orbit_code': 31526571814683088, 'n': 4, 'trace_an': 0}
-
id: 50227679
{'hecke_orbit_code': 31526571814683088, 'n': 5, 'trace_an': 0}
-
id: 50227680
{'hecke_orbit_code': 31526571814683088, 'n': 6, 'trace_an': 0}
-
id: 50227681
{'hecke_orbit_code': 31526571814683088, 'n': 7, 'trace_an': -1}
-
id: 50227682
{'hecke_orbit_code': 31526571814683088, 'n': 8, 'trace_an': 0}
-
id: 50227683
{'hecke_orbit_code': 31526571814683088, 'n': 9, 'trace_an': -11}
-
id: 50227684
{'hecke_orbit_code': 31526571814683088, 'n': 10, 'trace_an': 0}
-
id: 50227685
{'hecke_orbit_code': 31526571814683088, 'n': 11, 'trace_an': 2}
-
id: 50227686
{'hecke_orbit_code': 31526571814683088, 'n': 12, 'trace_an': 0}
-
id: 50227687
{'hecke_orbit_code': 31526571814683088, 'n': 13, 'trace_an': 1}
-
id: 50227688
{'hecke_orbit_code': 31526571814683088, 'n': 14, 'trace_an': 0}
-
id: 50227689
{'hecke_orbit_code': 31526571814683088, 'n': 15, 'trace_an': 9}
-
id: 50227690
{'hecke_orbit_code': 31526571814683088, 'n': 16, 'trace_an': 0}
-
id: 50227691
{'hecke_orbit_code': 31526571814683088, 'n': 17, 'trace_an': -12}
-
id: 50227692
{'hecke_orbit_code': 31526571814683088, 'n': 18, 'trace_an': 0}
-
id: 50227693
{'hecke_orbit_code': 31526571814683088, 'n': 19, 'trace_an': 6}
-
id: 50227694
{'hecke_orbit_code': 31526571814683088, 'n': 20, 'trace_an': 0}
-
id: 50227695
{'hecke_orbit_code': 31526571814683088, 'n': 21, 'trace_an': -13}
-
id: 50227696
{'hecke_orbit_code': 31526571814683088, 'n': 22, 'trace_an': 0}
-
id: 50227697
{'hecke_orbit_code': 31526571814683088, 'n': 23, 'trace_an': -35}
-
id: 50227698
{'hecke_orbit_code': 31526571814683088, 'n': 24, 'trace_an': 0}
-
id: 50227699
{'hecke_orbit_code': 31526571814683088, 'n': 25, 'trace_an': -6}
-
id: 50227700
{'hecke_orbit_code': 31526571814683088, 'n': 26, 'trace_an': 0}
-
id: 50227701
{'hecke_orbit_code': 31526571814683088, 'n': 27, 'trace_an': -39}
-
id: 50227702
{'hecke_orbit_code': 31526571814683088, 'n': 28, 'trace_an': 0}
-
id: 50227703
{'hecke_orbit_code': 31526571814683088, 'n': 29, 'trace_an': -14}
-
id: 50227704
{'hecke_orbit_code': 31526571814683088, 'n': 30, 'trace_an': 0}
-
id: 50227705
{'hecke_orbit_code': 31526571814683088, 'n': 31, 'trace_an': 8}
-
id: 50227706
{'hecke_orbit_code': 31526571814683088, 'n': 32, 'trace_an': 0}
-
id: 50227707
{'hecke_orbit_code': 31526571814683088, 'n': 33, 'trace_an': 33}
-
id: 50227708
{'hecke_orbit_code': 31526571814683088, 'n': 34, 'trace_an': 0}
-
id: 50227709
{'hecke_orbit_code': 31526571814683088, 'n': 35, 'trace_an': 18}
-
id: 50227710
{'hecke_orbit_code': 31526571814683088, 'n': 36, 'trace_an': 0}
-
id: 50227711
{'hecke_orbit_code': 31526571814683088, 'n': 37, 'trace_an': 31}
-
id: 50227712
{'hecke_orbit_code': 31526571814683088, 'n': 38, 'trace_an': 0}
-
id: 50227713
{'hecke_orbit_code': 31526571814683088, 'n': 39, 'trace_an': 22}
-
id: 50227714
{'hecke_orbit_code': 31526571814683088, 'n': 40, 'trace_an': 0}
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