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mf_newforms • Show schema
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{'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 9, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'cm_discs': [], 'conrey_index': 136, 'conrey_indexes': [136, 271], 'dim': 4, 'field_disc': 144, 'field_disc_factorization': [[2, 4], [3, 2]], 'field_poly': [1, 0, -1, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 12, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [4, 4, 6, -2, 1]], [7, [36, -36, 30, -6, 1]], [11, [169, -104, 51, -8, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539870812537237, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 3, 'hecke_ring_index_factorization': [[3, 1]], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 9, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '405.2.e.l', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'minimal_twist': '405.2.a.g', 'nf_label': '4.0.144.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\zeta_{12}-\\zeta_{12}^{2})q^{2}+(-2+2\\zeta_{12}-2\\zeta_{12}^{2}+\\cdots)q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '405.2.e', 'trace_display': [2, 0, -2, 6], 'trace_hash': 50075080831937730, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.048', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.739', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.487', 'prec': 17}, {'__RealLiteral__': 0, 'data': '49.523', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0], [0, 1, -1, 0], [0, 0, 0, 0], [-2, 2, -2, 2], [-1, 1, 0, 0], [0, 0, 0, 0], [0, 3, 1, 0], [-6, 0, 0, 2], [0, 0, 0, 0], [-1, 0, 0, 1], [0, 4, 1, 0], [0, 0, 0, 0], [2, -2, 2, -2], [0, 0, -2, 2], [0, 0, 0, 0], [0, -8, 4, 0], [-1, 0, 0, -1], [0, 0, 0, 0], [1, 0, 0, 2], [0, -2, 2, 0], [0, 0, 0, 0], [-1, 1, -3, 3], [0, 0, -2, 2], [0, 0, 0, 0], [0, -1, 0, 0], [8, 0, 0, -4], [0, 0, 0, 0], [0, 0, 0, 4], [0, 2, -3, 0], [0, 0, 0, 0], [3, -3, 0, 0], [8, -8, 8, -8], [0, 0, 0, 0], [0, 2, 0, 0], [-3, 0, 0, -1], [0, 0, 0, 0], [-1, 0, 0, -1], [0, -5, 1, 0], [0, 0, 0, 0], [6, -6, 2, -2], [2, -2, -3, 3], [0, 0, 0, 0], [0, 5, -3, 0], [-2, 0, 0, 6], [0, 0, 0, 0], [-6, 0, 0, 2], [0, 7, 1, 0], [0, 0, 0, 0], [-5, 5, 6, -6], [1, -1, 1, -1], [0, 0, 0, 0], [0, 16, -8, 0], [5, 0, 0, 1], [0, 0, 0, 0], [-4, 0, 0, -1], [0, -12, 0, 0], [0, 0, 0, 0], [-11, 11, -5, 5], [10, -10, 1, -1], [0, 0, 0, 0], [0, -4, 0, 0], [3, 0, 0, -3], [0, 0, 0, 0], [16, 0, 0, -8], [0, 2, -2, 0], [0, 0, 0, 0], [0, 0, 2, -2], [-4, 4, 0, 0], [0, 0, 0, 0], [0, 0, 2, 0], [-2, 0, 0, -1], [0, 0, 0, 0], [1, 0, 0, -5], [0, 2, 0, 0], [0, 0, 0, 0], [10, -10, 2, -2], [-15, 15, 7, -7], [0, 0, 0, 0], [0, -12, -2, 0], [8, 0, 0, -4], [0, 0, 0, 0], [-7, 0, 0, 1], [0, 3, -3, 0], [0, 0, 0, 0], [1, -1, -1, 1], [-14, 14, -8, 8], [0, 0, 0, 0], [0, -18, 2, 0], [0, 0, 0, 3], [0, 0, 0, 0], [0, 0, 0, -4], [0, -12, 4, 0], [0, 0, 0, 0], [-4, 4, -6, 6], [-1, 1, 2, -2], [0, 0, 0, 0], [0, 1, 5, 0], [13, 0, 0, -1], [0, 0, 0, 0], [2, 0, 0, -2]], 'ap': [[0, 1, -1, 0], [0, 0, 0, 0], [-1, 1, 0, 0], [0, 3, 1, 0], [0, 4, 1, 0], [2, -2, 2, -2], [-1, 0, 0, -1], [1, 0, 0, 2], [0, 0, -2, 2], [0, 2, -3, 0], [3, -3, 0, 0], [-1, 0, 0, -1], [2, -2, -3, 3], [0, 5, -3, 0], [0, 7, 1, 0], [5, 0, 0, 1], [10, -10, 1, -1], [0, -4, 0, 0], [0, 0, 2, -2], [-2, 0, 0, -1], [1, 0, 0, -5], [0, -12, -2, 0], [0, 3, -3, 0], [0, 0, 0, 3], [0, 1, 5, 0], [0, -6, 5, 0], [4, -4, 2, -2], [-12, 0, 0, 2], [-13, 0, 0, 4], [7, -7, -7, 7], [1, 0, 0, -9], [0, 0, 9, -9], [0, -6, 2, 0], [-11, 11, -6, 6], [8, -8, 0, 0], [0, 5, -6, 0], [7, -7, -7, 7], [11, 0, 0, 1], [9, -9, -5, 5], [0, -12, 2, 0], [-4, 0, 0, 7], [23, 0, 0, 2], [0, -4, 7, 0], [7, -7, 1, -1], [0, 0, 0, -8], [-2, 0, 0, 0], [-5, 5, -8, 8], [0, 4, -12, 0], [0, -1, 11, 0], [12, -12, 0, 0], [-9, 0, 0, -11], [4, -4, 2, -2], [0, -1, 10, 0], [0, 0, 0, -6], [0, 0, 6, -6], [0, -4, -10, 0], [2, 0, 0, 5], [4, 0, 0, -4], [0, -9, 3, 0], [0, -12, -2, 0], [12, -12, -10, 10], [-27, 27, 1, -1], [-5, 0, 0, 11], [-18, 18, 1, -1], [0, 16, -4, 0], [0, -1, -3, 0], [0, -3, 2, 0], [-10, 10, 10, -10], [13, -13, -9, 9], [0, 5, 8, 0], [0, -3, -13, 0], [6, 0, 0, -7], [0, 0, -18, 0], [-1, 1, 11, -11], [-8, 0, 0, 6], [-6, 6, -2, 2], [0, -24, -2, 0], [4, 0, 0, 6], [-18, 18, 4, -4], [4, -4, -8, 8], [-10, 10, 6, -6], [0, -13, -12, 0], [-30, 0, 0, 5], [-32, 0, 0, -2], [0, 5, -6, 0], [0, 9, -5, 0], [-4, 0, 0, 7], [0, -1, -1, 0], [0, 18, 11, 0], [0, 0, -6, 6], [1, 0, 0, 21], [0, 24, -7, 0], [14, 0, 0, 6], [26, -26, 7, -7], [-7, 7, 10, -10], [10, 0, 0, -10], [-14, 14, -12, 12], [16, 0, 0, 2], [-2, 0, 0, 14], [-21, 0, 0, -2], [0, 20, 8, 0], [-6, 0, 0, 2], [15, -15, -1, 1], [0, 0, 19, 0], [19, -19, -12, 12], [17, 0, 0, -1], [0, 3, 5, 0], [-14, 0, 0, 8], [-22, 22, 3, -3], [0, 7, 14, 0], [11, -11, -3, 3], [-2, 0, 0, 2], [0, 0, -4, 4], [0, -2, 8, 0], [-5, 0, 0, -16], [0, -18, 5, 0], [-33, 33, 5, -5], [8, 0, 0, 2], [14, -14, -2, 2], [0, -2, 2, 0], [-1, 1, 10, -10], [0, 0, 6, 0], [0, 18, 0, 0], [-30, 0, 0, 6], [0, -10, 16, 0], [-26, 0, 0, 3], [0, 26, -2, 0], [24, 0, 0, -9], [0, -2, 6, 0], [-14, 14, 12, -12], [19, 0, 0, 2], [13, -13, 19, -19], [-28, 28, 12, -12], [22, 0, 0, -18], [6, -6, 17, -17], [13, -13, 2, -2], [-21, 0, 0, 13], [29, -29, -11, 11], [26, -26, 6, -6], [16, 0, 0, 17], [-15, 0, 0, -2], [0, 36, 1, 0], [10, -10, 8, -8], [-22, 0, 0, 6], [-3, 0, 0, -12], [0, -28, -3, 0], [0, -33, 13, 0], [0, 4, -28, 0], [11, -11, 0, 0], [-11, 0, 0, -7], [-30, 30, 2, -2], [-28, 0, 0, -11], [-25, 0, 0, -3], [-39, 39, -3, 3], [0, 30, 0, 0], [0, -8, -9, 0], [-5, 0, 0, -30], [0, 8, 21, 0], [-18, 0, 0, 8], [-4, 4, 18, -18], [0, 30, 16, 0], [26, 0, 0, 6], [31, -31, 3, -3], [-12, 0, 0, 17], [-2, 2, 2, -2], [0, -33, -9, 0], [17, 0, 0, 8], [0, -3, -13, 0]], 'char_orbit_index': 5, 'field_poly': [1, 0, -1, 0, 1], 'hecke_orbit_code': 49539870812537237, 'hecke_ring_character_values': [[326, [-1, 1, 0, 0]], [82, [1, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 1, 1], 'hecke_ring_inverse_denominators': [1, 3, 1, 3], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0], [0, 0, 1, 1], [0, 1, 0, 0], [0, 0, 2, -1]], 'hecke_ring_numerators': [[1, 0, 0, 0], [0, 0, 1, 0], [0, 1, 0, 1], [0, 2, 0, -1]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 4, 'label': '405.2.e.l', 'level': 405, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 1620, 'analytic_conductor': 3.2339412818618554, 'char_conductor': 9, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [405, 3, [326, 82], [2, 3]], 'conrey_index': 136, 'cusp_dim': 84, 'dim': 32, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 7, 11], 'hecke_orbit_code': 274911461781, 'hecke_orbit_dims': [2, 2, 2, 2, 2, 2, 2, 2, 4, 4, 4, 4], 'label': '405.2.e', 'level': 405, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [3, 5], 'level_radical': 15, 'mf_dim': 132, 'mf_new_dim': 32, 'num_forms': 12, 'prim_orbit_index': 3, 'relative_dim': 16, 'sturm_bound': 108, 'trace_bound': 7, 'trace_display': [0, 0, 0, 10], 'traces': [32, 0, 0, -16, 0, 0, 10, 0, 0, 0, 0, 0, 10, 0, 0, -16, 0, 0, 4, 0, 0, -12, 0, 0, -16, 0, 0, -80, 0, 0, 40, 0, 0, 18, 0, 0, -20, 0, 0, 30, 0, 0, 28, 0, 0, -36, 0, 0, -18, 0, 0, 4, 0, 0, 0, 0, 0, -36, 0, 0, -14, 0, 0, 44, 0, 0, -14, 0, 0, -12, 0, 0, 76, 0, 0, 34, 0, 0, -2, 0, 0, 96, 0, 0, -12, 0, 0, -36, 0, 0, -52, 0, 0, -48, 0, 0, -26, 0, 0, 32, 0, 0, -2, 0, 0, -30, 0, 0, -152, 0, 0, 40, 0, 0, 0, 0, 0, 144, 0, 0, -64, 0, 0, 94, 0, 0, -80, 0, 0, 0, 0, 0, 98, 0, 0, 72, 0, 0, 58, 0, 0, -12, 0, 0, 24, 0, 0, 4, 0, 0, 46, 0, 0, 48, 0, 0, 52, 0, 0, 60, 0, 0, 52, 0, 0, -18, 0, 0, -66, 0, 0, -176, 0, 0, 10, 0, 0, -144, 0, 0, 52, 0, 0, 12, 0, 0, -84, 0, 0, -60, 0, 0, -74, 0, 0, 108, 0, 0, -68, 0, 0, 132, 0, 0, -36, 0, 0, -344, 0, 0, -110, 0, 0, -48, 0, 0, 152, 0, 0, -48, 0, 0, -32, 0, 0, -192, 0, 0, 28, 0, 0, -48, 0, 0, -96, 0, 0, 120, 0, 0, -74, 0, 0, 124, 0, 0, -34, 0, 0, 0, 0, 0, 168, 0, 0, -76, 0, 0, -34, 0, 0, 264, 0, 0, 0, 0, 0, 136, 0, 0, 100, 0, 0, 54, 0, 0, 124, 0, 0, 72, 0, 0, 28, 0, 0, 192, 0, 0, 104, 0, 0, -128, 0, 0, 60, 0, 0, -288, 0, 0, 80, 0, 0, 22, 0, 0, 64, 0, 0, -6, 0, 0, 10, 0, 0, 148, 0, 0, 24, 0, 0, -48, 0, 0, -20, 0, 0, -48, 0, 0, 10, 0, 0, 156, 0, 0, -14, 0, 0, -18, 0, 0, 92, 0, 0, -66, 0, 0, -38, 0, 0, 0, 0, 0, -24, 0, 0, -144, 0, 0, -228, 0, 0, -76, 0, 0, -14, 0, 0, -24, 0, 0, 34, 0, 0, -216, 0, 0, -92, 0, 0, 12, 0, 0, -12, 0, 0, 352, 0, 0, 24, 0, 0, -42, 0, 0, -296, 0, 0, -16, 0, 0, 116, 0, 0, 144, 0, 0, -98, 0, 0, 52, 0, 0, 96, 0, 0, 180, 0, 0, -2, 0, 0, -264, 0, 0, 14, 0, 0, -36, 0, 0, -488, 0, 0, 310, 0, 0, -32, 0, 0, -480, 0, 0, 48, 0, 0, -68, 0, 0, 48, 0, 0, 54, 0, 0, 88, 0, 0, 12, 0, 0, -122, 0, 0, -72, 0, 0, -100, 0, 0, -300, 0, 0, -2, 0, 0, 360, 0, 0, 146, 0, 0, 32, 0, 0, 76, 0, 0, -84, 0, 0, 12, 0, 0, -92, 0, 0, 40, 0, 0, 336, 0, 0, 120, 0, 0, -140, 0, 0, -70, 0, 0, 132, 0, 0, 120, 0, 0, -48, 0, 0, 436, 0, 0, -192, 0, 0, 68, 0, 0, 80, 0, 0, 60, 0, 0, 120, 0, 0, -20, 0, 0, 150, 0, 0, -14, 0, 0, 24, 0, 0, 194, 0, 0, -116, 0, 0, 176, 0, 0, -108, 0, 0, 120, 0, 0, -312, 0, 0, 118, 0, 0, 72, 0, 0, 148, 0, 0, 144, 0, 0, -84, 0, 0, -300, 0, 0, -28, 0, 0, -128, 0, 0, -120, 0, 0, -408, 0, 0, 100, 0, 0, -152, 0, 0, -134, 0, 0, -54, 0, 0, 28, 0, 0, 48, 0, 0, -50, 0, 0, 240, 0, 0, -16, 0, 0, -44, 0, 0, -188, 0, 0, 18, 0, 0, -60, 0, 0, -72, 0, 0, -20, 0, 0, -114, 0, 0, 432, 0, 0, -32, 0, 0, -24, 0, 0, 48, 0, 0, -98, 0, 0, -180, 0, 0, -120, 0, 0, 48, 0, 0, -50, 0, 0, 984, 0, 0, -166, 0, 0, 84, 0, 0, 96, 0, 0, 316, 0, 0, -32, 0, 0, -192, 0, 0, -108, 0, 0, 40, 0, 0, -28, 0, 0, 72, 0, 0, 82, 0, 0, 144, 0, 0, -84, 0, 0, -36, 0, 0, -76, 0, 0, 10, 0, 0, -32, 0, 0, -360, 0, 0, -104, 0, 0, 234, 0, 0, -176, 0, 0, 96, 0, 0, -24, 0, 0, -192, 0, 0, -50, 0, 0, 312, 0, 0, 244, 0, 0, -48, 0, 0, -136, 0, 0, -420, 0, 0, -134, 0, 0, -44, 0, 0, -80, 0, 0, 264, 0, 0, -120, 0, 0, -384, 0, 0, 190, 0, 0, -54, 0, 0, -196, 0, 0, -44, 0, 0, 240, 0, 0, 192, 0, 0, -72, 0, 0, 372, 0, 0, 112, 0, 0, 264, 0, 0, -172, 0, 0, 168, 0, 0, 118, 0, 0, 240, 0, 0, -212, 0, 0, 448, 0, 0, 12, 0, 0, -360, 0, 0, -40, 0, 0, -314, 0, 0, -500, 0, 0, 18, 0, 0, -182, 0, 0, 528, 0, 0, 58, 0, 0, -120, 0, 0, 72, 0, 0, -100, 0, 0, -34, 0, 0, -84, 0, 0, -170, 0, 0, 84, 0, 0, -452, 0, 0, -354, 0, 0, -208, 0, 0, -824, 0, 0, 12, 0, 0, 60, 0, 0, -216, 0, 0, -108, 0, 0, 82, 0, 0, 168, 0, 0, -36, 0, 0, -38, 0, 0, 304, 0, 0, 192, 0, 0, 10, 0, 0, 1056, 0, 0, -84, 0, 0, -258, 0, 0, 268, 0, 0, 72, 0, 0, -12, 0, 0, -144, 0, 0, 38, 0, 0, -132, 0, 0, 192, 0, 0, -228, 0, 0, 228, 0, 0, 484, 0, 0, -134, 0, 0, 72, 0, 0, -52, 0, 0, 58, 0, 0, 288, 0, 0, 600, 0, 0, 12, 0, 0, -184, 0, 0, 28, 0, 0, -312, 0, 0, -140, 0, 0, -60], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 302937
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '405.2.a.g', 'target_level': 405, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302938
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 8, 'target_is_minimal': True, 'target_label': '405.2.a.h', 'target_level': 405, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302939
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '405.2.e.i', 'target_level': 405, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 302940
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 9, 'target_is_minimal': False, 'target_label': '405.2.e.i', 'target_level': 405, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 302941
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '405.2.e.l', 'target_level': 405, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 302942
{'conductor': 9, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 5, 'target_dim': 4, 'target_hecke_orbit': 12, 'target_is_minimal': False, 'target_label': '405.2.e.l', 'target_level': 405, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '9.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 302943
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2025.2.a.g', 'target_level': 2025, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '45.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302944
{'conductor': 45, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 13, 'target_is_minimal': False, 'target_label': '2025.2.a.m', 'target_level': 2025, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '45.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 302945
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '2025.2.b.g', 'target_level': 2025, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '45.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 302946
{'conductor': 45, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 2, 'target_dim': 4, 'target_hecke_orbit': 8, 'target_is_minimal': False, 'target_label': '2025.2.b.h', 'target_level': 2025, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '45.l', 'twisting_char_orbit': 12, 'weight': 2}
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id: 302947
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '6480.2.a.bi', 'target_level': 6480, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '36.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 302948
{'conductor': 36, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 4, 'source_hecke_orbit': 12, 'source_is_minimal': False, 'source_label': '405.2.e.l', 'source_level': 405, 'target_char_orbit': 1, 'target_dim': 2, 'target_hecke_orbit': 44, 'target_is_minimal': False, 'target_label': '6480.2.a.br', 'target_level': 6480, 'twist_class_label': '405.2.a.g', 'twist_class_level': 405, 'twisting_char_label': '36.f', 'twisting_char_orbit': 6, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 844375
{'charpoly_factorization': [[[4, 4, 6, -2, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 2}
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id: 844376
{'charpoly_factorization': [[[0, 1], 4]], 'hecke_orbit_code': 49539870812537237, 'p': 3}
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id: 844377
{'charpoly_factorization': [[[1, 1, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 5}
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id: 844378
{'charpoly_factorization': [[[36, -36, 30, -6, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 7}
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id: 844379
{'charpoly_factorization': [[[169, -104, 51, -8, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 11}
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id: 844380
{'charpoly_factorization': [[[64, 32, 24, -4, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 13}
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id: 844381
{'charpoly_factorization': [[[-2, 2, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 17}
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id: 844382
{'charpoly_factorization': [[[-11, -2, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 19}
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id: 844383
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 23}
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id: 844384
{'charpoly_factorization': [[[529, 92, 39, -4, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 29}
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id: 844385
{'charpoly_factorization': [[[9, -3, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 31}
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id: 844386
{'charpoly_factorization': [[[-2, 2, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 37}
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id: 844387
{'charpoly_factorization': [[[529, 92, 39, -4, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 41}
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id: 844388
{'charpoly_factorization': [[[4, 20, 102, -10, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 43}
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id: 844389
{'charpoly_factorization': [[[2116, -644, 150, -14, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 47}
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id: 844390
{'charpoly_factorization': [[[22, -10, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 53}
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id: 844391
{'charpoly_factorization': [[[9409, -1940, 303, -20, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 59}
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id: 844392
{'charpoly_factorization': [[[16, 4, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 61}
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id: 844393
{'charpoly_factorization': [[[144, 0, 12, 0, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 67}
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id: 844394
{'charpoly_factorization': [[[1, 4, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 71}
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id: 844395
{'charpoly_factorization': [[[-74, -2, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 73}
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id: 844396
{'charpoly_factorization': [[[17424, 3168, 444, 24, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 79}
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id: 844397
{'charpoly_factorization': [[[324, 108, 54, -6, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 83}
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id: 844398
{'charpoly_factorization': [[[-27, 0, 1], 2]], 'hecke_orbit_code': 49539870812537237, 'p': 89}
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id: 844399
{'charpoly_factorization': [[[5476, 148, 78, -2, 1], 1]], 'hecke_orbit_code': 49539870812537237, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 5, 'hecke_orbit': 12, 'label': '405.2.e.l', 'level': 405, 'portrait': 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7T7gkHsstQTrB3TLLQ0R88oKq7H2knYOBOyZmrA7FTA2qmAjWsMm9cqLtjkUlV1Dh1t8uCzHo/vjXn6SESiOrzllS1uvt5QVVPsPTLOoZMOJ84mnE7BvW/ecNVFc/y371ti0/QYJ+YmOLtYZWHZZaElWeoktLoJnT7sOrTI7qOtC57ff+ZVR04ubD16evH2a1/3zvC+2z/5UkPim3r8s2bwk3NtxtyEQIv3f/3RA9f/wu/eIt913YHr/+M7DjsLrRkWW+PML9eYX/KZX3ZYaAkWlhMW2xELywmnl+HAgmB2epn3vWeBl++ocezMJCfP1jk573BmwXB6Pub4XMLZTsz45IBXXNLlmvPBk1V85XNmscKpeYfTi4JeAHGsqXiaeiVhYixGA0dOx7S7sGWNS70aYIwA4dHtazavDVhYdsBYKbLchSAGg2GxFbJh1qXTVwhlEDqgWXHZvG7Ack9w5KRDoh2mmpJGReC7EMeCXiA5vSg5tWA4sxTj+wNwY669sMv1FwlmmlUWlpocO+Nzch7OzMecWYw5sQgHFgxXXjjPf3/PEuvGmxw9PcmZxSpzix7zLcHCsmaxFbHYSljoaM60JUfb0Ftu8Tv/IYm/93X+/d70e7WqXHx/GMlfaNRjpDP5UkPlBR//bBn8wx/9DK9+xeX82M/8x1/98Cfv/Pd/8PE7z917ZGnrwZMtef3FXc5Zp4liB60V2kgMMuVtib1vDUoafAUnFqo8vF9yyfZFzt80oFYB15F4rsLzHOpVSc2V9Louew5X+MrjHkfOBrTjiD3HAtZMLfLWVyxxybkdrjy/xeH5mPmeoOYPOHjS0GrXufgcyfIgYddhRaPm8NwROG+9YRAmDBIPx4mYaMDuYz7KSXBljONCP5C8/Pwe/Z7kknMT2v2EIycbbFurqNdClgPD7HiPpW6bT94JTx5KePrQgC3rF7h0Z5uJyZA3X9vhO28wbF/bIInGOXRijAPHXY6d1hw/G3H8bMKBs4KjyxEv2zHHf39Ph7Xj4xw7PcmZxRrzyx7zLcliS7PciVjuJCz3NEs9wZmeot0NueaCeX7q7adlw0u2Ls0f2pbEg6ubk5urjjfz1ace+Rx/8Md//VJDZtXHP0sG/6tPfJYrLtmsvnbvnv/63P7T/+W+J46qpXZEK5YsDBJetvUMv/Xjc1x2bo0zCxMsLNdZbFdYbLkstByWOrDUSlhqxyx2YuZbcGxJ4FQHXHfRIu++IWTbbJ3lbpOzJfZabFmJsNTRtPuadmDoDWKmmhGb12hA4LuG42ddhPTZMqvYtt6wfrbHmaWAp/Y1uOI8Q626xLP7J2nUQ8LQZWpC0x/ABZsHfPzOcXZuigkCw/SYJEr6NCo+zx0eUHXrXLYj5umDIWcWPDZM+WxbB5vXhigVcXwePNcghGHLmpiJhqTT9+n2XNo9l8W2YnEZFlqaxVbCfCvhdAsWBgmbN3R596vnue58h4rb5NR8k/mlCvPLDottwVIK7qVOwlLHsNCFUx3F2eWYq88/xQd+YoGdG6ssdxr0Bi5RXCdWFyRabfrVdnjuL1ed48krb/xXLzV0Vjz+WQF8/749VCqV6pnTJzY/8vhz79p38MSvPLv7GN1A0QsF7YFgbiA524m4cvsZfvMnFnjZOVXOLk4wv1xnqV1hse2y1HZYasNyR7PciVnuxCy2DWdagpNdA6LLza9s8eaXa85ZVyEMayy1Kix3PVodxVJX0OkJBoEhjA1Jgl0NXKj6hvGmYXYywnEHHDgV8sx+Hx3XeePVIY67zGO7xti6Dr70cMwrL/Y52+pTcRRxEjE5AXHk4rgxCws1XnF5my890GDbOnh0X4BLjTe8XBOLPs8cSDh0vIIjPdZMOEzUBVVf4HkCJSDWEEaGQQidnmG5q+n0NMs9zULX0E8Stmzs8eZrWtx8fQi6wcLymNXbLZfFtsNSC5Y7Ca1ubJm7q1nsCgvudsxVO87wgR8/y0Vbqywsj9HuVen2Pbo9l4WWQnqbcCprf3F23c5Pbdm88ehgMOjvPH/nSw2l/PHPBuCHDu5nZmbW279v7w/tP7j/g0888bQ4M9eW3b5l0+7A0BkIWgPB2b4F+cvPO8Ov/8gil59bYX55nIXlOkttn+WOx1LHYbkjWO4Y2t2E5U5Mq6tZ6hrOdgSnWpqJ8R6vu7LDtefHbFmjaFZd2p0KvisBRRhLtBZoA70BIDQTjQH7Thi0Cbnj0TpBr8q5Gzyuu6RHpJe5+/FxLjvPZd/pLq2lJtdc0uOrj/msmTTsOmL4N29vs+uwz5pJyVceV1x3gWKx1+bgsUku2xFy9zN94qDGtRd6bN80oB93+fJjChLBgeMOzZqDI6DXt0F1og1RDEiN42laXUO9EbFpXcD1F/R43RUxU/UKZxbHWFiustS252apLWh1odWJaXVjWt2EVs+w2JWc7grmOjHX7DzLr/7IHJeeU2FheYxWt0an59ln36HddVjqCPqhr3fsvMRsP/fcnzrnnHP/bGF+Ljxvx46XGlLAPxOAB2Esw6D/1scevO3cTi/6wIMPPerGiWXQ7iCm19d0BwXIlweC+b7kVCvm2gvO8v4fmeOK7R7L7THmlhq0uhWWOx7LXYdWR9HqQadraPdi2t2Ebl/T6hnmuoK5LkRJwKXn9Vk7mdDtGd50TcDWtZo4kTjSEEZw11MVjp6tsG4i5tkDFdA1zt+ouHynxq/0eGxfj7n5OhdtrdMcX+KBp12uOq/CQm+ZpaUma9caHt6l+N6bujyyy2HjrMt8t8XS4iSXX9DjgWcTJqvjXHRul7OtFg8/P07VqXPlTsOOzQOQXZ46JJidjDgzF3H3Uy6DSCElJNqwdV3I664J6XQV6yc0l58HYVhjsVVjseWz3HVp9xStrqTdhXYvod1N6PQS2j3Ncs+w2JecaAlag4Drdszxy+9d4qodPmcWx2h3q7S7FTp9l07fodtTdPqSdk/Q6SeEQcIlL7sy0qj/9K7vfOv+eq36Balc/VJj6yXPZCZRF62775k78ehvLc7tmTx7donJpqIXCIQw6d+KQYAQGikMUoAjNEo6PLJ3Db/wYYebr1vku25aZNuGkNMLTXyvStX3qPku9apDpypp9F3G6g69QUK3n7Am0PQDQ2fgszhX4fgxQxhrTpyO8X0DCDxlcKSg11cIXOKew8u2CravN2ze0CNIOtz2iGL3/glef4XP5Rcs8bHbDJ6osXVDj6cfUGwYV0w3e1RUlTByOduBesVh4xrBk7tDLt9R5YbL5vnorX08t8Frrza4fo+vPRzypYfqPH+oyjnra2xdlzAzEbJtOuLirQlKaRxlAEPN95kZ9wkjl07P49l9Lt2BQ6+v6A4k3T50B4Zuz/7unX5Ct29o9w3LfZjrKc4sGWrNFj/9pjn+1XUBl55T59R8g1a3Sqfn0+lZx6c3UHT7kk5f0A8MQWjoDwx33v2w2xyf/K2xibWLr77hmn+32Op/dHKs+r8vwI1eBpL3Bsu3vX/xxD2TIk6oV30MCmTmhigMIESCFCCFRkrrkDjK4EnJ0/tmeGJvnb0nz/L267tcf+GA8UaTxVaNertCs+/R7Tl00ovdHzj0AodBYBiEmjAyRJEhTuwzjD2MBqkEriOoeILxhmCiAWunNRvX9JieaHH7Y3DPEy5Sj/H6K1xedn6H+56PCAdNrnuZoNXvc3ahzrU7NNPjPaqOzyBWzLUjlBa8bIdDrRHw+J4Kr7p8jGsu7fD4HgVmjCsu9Pjhtyzy1SdDvvJInV1HK2yeUaydrDLRqDHWgKoPrmNQErSBXYcESSKIYkEYQxBhf8cgoR9oBoGmN9D0Ak23D+0A5rqSsx0I9IDXXLbIW69v8T2v1cRxk9PzdTq9SipJXLrp+esNJL2BoDcw9Aea/iChFyR0+ppjZ07y1IHbJo/MDf6f977rBmdpufXhifGXrsniJQO4SRZAiB8+ffiu9/fmbp+VOmCs0QShrY8MCCRCCISwS7EUIKXImctRBldpqq5gvlflE3du5GtPtHnlxct832uWuXhbl6nxGgvLNTp9n17fTYGt7DMUBJEkigVxbJd6ky4aShocByoe1KqayUbEhtkeMV32nYj45N0VDh6rM+5XuepCh2svafPw3hZ3PNjk6vMqbF7X4+N3CpTwaTYilrsB2oASMNPs0e546LjKW195lk98qcb2MxXefHWPMFrg7memiJIKL79wljdf1ea8TS2+9niPp4/VeOqQx8ZJyWRTUPMFnmtvQilACIM2oLUhitObNTIEkb2RByH0Q+gMBEuBYLEDwhlw2c5lvu91y7zywoSpZoXldp3ljmXt7sCl13foDlQJ2IJeYOgPEgYpuPuBYRAYosTh5HybP//U12bHKs773/KGV5lDx1t/um3jSwPyf3KA73vyI/z6X0/w6x/86g9smj3zgcs2PT7tiQ5CVPDchKofo7WFt8AgACEEUigLbpngKIGjNI7SeI7BdwxVR7A0UCy0Jvj0XXUeerbLdZcu832vXeay7S2mkipx7NMbVOj2XfqBQxgpolgSJ5JEC7SxP1MKg+9papUY3wvx3IATCwG3PirZf9zj0PEJlPbZvs7jgm2KK85vo/w5njnQYMN4jYvOgbUzSyy2m1y8QRJrw+2P+AQ9yXg95g0vH/CFuyOOnm6w81yXU8sDnjvosmnNBJdum+O+pzs88JwgCD3O3zbJ+Zt8zt/Y4cCpRfafgEd219h3sE7NEfiOpO4bKq5d9ARgjL1Z4wTCGMJE0A2sC9WOINQx2gy48rw23/e6Nq+8OGHdpM9gMMZCq0Kn69MdePT6Dr2BlSS9QNAfSPoB9MMU3EFCf5DY94GhH8IgFriO5PR8n4/c8tXZjbMHPnDVeWOxMXwMjOgEmGblny70+ycF+C/+xsc492W7+Zng3O/ptw/+rkieHp+oRSRxHa1jKolCa5GzKCiEkEgpUVKglLLgdizIXUfgORrPNfiuoeYljFcEncBlqT3BZ+9pcudTA9ZM9HjXq1ucv2nAoN/lom2GTWsVQeSSJIpES0wGbqlxnYQjZwyHTguW+5rP31fjxPwEJnSZqCjWTzlsWetwzga4aHsbLef50BfqLC6OcfX5Dhdtb/G1pwQidpmdkNRrMb3IQxoJRqIcj9ZAcGZRcKGp8eorOtz/eJX10x5XXzTJv37LPH/2pQ6P7KnTHbgsLDfYtr7KznU9Xr6jw3e8qsPJxUU+f5/PQs/nyCmXEyc8XCWQUiIQaGNINETakMSaiamISy7sEQQR528KeMerA2bHFJMNnyiqcGquQq/v0QvsKtdPgd0PJP1A0A8EgwC7EgRJ+tQW3KFOgS8YRBbkIZJHDrT59//vY9NXbt/ym//mR3b/4nVX8MNGB/f8U2LunwzgH/vzT/Ge73+9+A+/wjuV2fUnb7niidpV58eEkWIgQrQRNiNpwOJbIIRlJSlBSZkyd/rqWCB6jsBzNRXXUI0MtdAwVkmYqAp6oaQT1jl0vM6v/9Uk6BgRx1xxSY9ta0PiGLTRGGOTOFIIpBI4rseeox679leoVxwanmS6JpiZksxOOqyfUWxZl7BzyzKJWOD3bmly5Og4V+9wOX9rQj/u8OAzPuNVl6kxw3gjpFa1UkhrSWugWOwaFloJrW6VV1y0zKO7euw+qhhvVnj5heP8yFsX+P3PweP763T7huWOw5nFJmuna8xODNgyNeA/vLNHs9bi6UOw55jEdQ1KGYTQgD2RxkAcw9a1CdddHJNELlHsY0yNQehyet6jH9gVbRCqXL71Q8EgkAxCQT+EINXyQagJQp1KHgtuK30EvQj6kaATCzqJIIgFuw4pas6umcWTfzFzsnnutuve/YP33v21vzE3vOY7/uUA/HOf/13Wrz2hPvWpj9+c9Fsf+5+3nK08scvlAz/R5vzNCiEtpMv/tXrb2IBSKau3HVsb7ToCz1UEriQINX6YEESGaqQJIk0YGpoxBJEmiCGMBYNIEiQ+UVJh9/46T+2GxBgstK02diV4ytZ8NHy4aB00qzBWl0w0FFPjDrOTsHltwLqZZSKzyO/dMsaBg2Ncfo7inI2S7RuX+PpzMWcWxrhim2Siqal4fXzpY5QgTiTCGOIkZKlb4cyCy+XnV3nZjg73PV5hzYSgVmlw+Q7NT9+8wO9+TvPciQbLXc1yRzG35DA9XmeiWWWiOUazFjFTj9hyeYjvxrhOjFIJUmRn095UUaQ4O+cQxYooVoSRIojS11ASRJIglAxCSRAKG6CGgiA0FtSRJgjS11Cnuh4GkQV3P4JuIGhFkuUIBmEEYY9LtrV4379e5OWbF3hqt/eh333fH/UHXnjLF27/veStb/yZb32A/+pvf4Ldh5rqiT0n37HY2vvRh/ccrwRmnNsfnsBzIn75x5a5cKNGCZNagDYVLZWVC0o6uMrgKoXrGBxH4rnCXgRXEHiKMLJAjyJDGCfWFYlLzwTixJAkmkRj9bYmB7cQoCQ4ElwXfEdQ8QU1X1KvKcZqkokxwexkzJa1PRr1ZW65P+TuZyZZnm9yyWbFlnUu520akIhlbn+kRt11mJlQNGoDnjkAzx90uHiToRcoLj0v4pLthtOnEuaWPPqDGm+8qsO9T/fZd0JRr0p8r8nF52h++QcWuOu5Pl+4a5qFtmHLbMJSy2G8qRiruzRqLvWqoeJrfE/jOwlOeu5k2lppDDZhpQWxlsSJII4FUSwJY0EUSYLIOi9hJAgjQxhCECWEOWlYt2kQZYErlsEjYdk7FiyHglYMYRAi4y4v27LM+35kiTddZa3EQefBSq153l9sru38wal1Gz9z+Lm/SLZe9P3f2gC/8lwp292l7/q7u8/+4d8+sFgZ0ER4AiOr/N3904SB4h03tXnXTV3GGgmypxFCW6dEujhK47oax3FwHYXnWrYJXUngCcJI2IsTKaIYwkhaByEubL840SSJdRcSkzolqc4XQqQSSOA4As8R+J6k4kvqVUGzZhhvaNZMBsxMdIjNMp++V/JnX5pitlLhks2Czetctq7XbFm3xC0PGhYXK5y/VjHRhEYt4sxhydklH28bBJFgZkwyPg77DhmW2prT8xXO21rhpis63HpPhakG+J6HkuNcvF3wo28+iyvP8nf3TfD8iQpr2hGz4zFjdUWjqqhVJVXfwffAd8FxrMNkbdUSyLE3dqIhSQRxQgp0iBJDGEMUJZYUIk2YvgaRJoogiGzpQhCRa+1+KOjGguVI0IkMySBgrNLmXW9c4F03dXnd5dDtV4liyZUXGPqDg5VWa/pP9h6edMK4+tdYnvnWBPjyqY8QJ60f+Pwdh3/zqd1zzQnPpxULpCMIpCSRgtsfUTz4XIVTi4v8m+/oM9GMqPg12t0ERyU4ToIbuXhOQuA6BJGyAE+Z2zKOsEyUslIcQ5RAklgnQWsbcGltsh7OFNwW4EqJNGi1AKn4UKtoGtWY8UbMzHif6Yll7t8d8hd3VNlzaJytYy7b18LGtR4b18DOzW16cZuHdzWpKpeZCcV4A8YbARNjMZ7nIIS9ufqBx2I7YrlnaHVjzi55bF7b4Jrzz3LHIz32nGhS8yNc5SHEGNs3KL7/tfNcufMsf3FHg4efHWeh6zDbjBmvxdQqkmpF4bsC35W4ro1VlCK1Dy3KDbaHVWtyoMeJTlc3SwpRrIkTC+44gjA2xTOyrswgFgwiQS/V2+0YBv0YE/eZqrX5ye9c5D98d88m2DpVgtAjTlzixCGJXfrt/c0n9urfCyoXe7/4e5/9s1/5me/81gP4/EILI9V7P/7ZT7z/ljtOTi30KlQcw7iESgL9BHrCI2wolgOX3/yky64Dy3z7qzrccFmHNdMhnU6FfuDjhR6h6+K5Dn5k7b0wsrUiUSQJY7vsRnHqaSek1h8pc0u0oQC3TVKmzA2OsgkTzzVUPE21EtOoxEw0A9ZNtznT6vHBz7vc/ugki0t1zp0RbJ4VbJj12Dgr2LZ+gOMt84m7HQ4eq7NjjWSiIRmrJ0gZcGLO4DsSKcAYQRg5bJlt8wgJ7Z5iqW04s1hlx8YK3/HqFp/5msfhMz6uEyGEizZ1olhyxbYltnx3m9sf7/Hx2yd57HCdDROC6XpCvZJQ8QS+K/BciesIHIUNnKXIazIM9ibTBuu0JBbwOcgTK+nsKghhYmtdwlgQxBDEgn4MnVjSjaAfaZJewMbpNjdcvszbbujypisTXFllecknjD2i2CVOlC1vTiRT4wEXbXx2as2mtR+4/rr3qP/6Y60Pe/4/jk/+jwLwVquF57n/+vNfvPv9f/vFfbOHTviMeTYR4RpwpcGTAl8JurFDXypaocsnvl7hrqdrXH5+l+9+bZ9vu7rN9FhAb1ChH3r4rksUOwSRQxRboMexIkokcSyJEkEcS5JEkGhRaG0tyFWJscwtBShlXQdXaTxX43vWh29UA6bHu/SjPl97xvDJr4/x8LPjTHguF28wrJuUrJnyWD8j2bgm5JwNSzx9uM/n751hTDnMjAmadUGzFtHqJXzpwQoNzyCEBVY/cHjrdQFffMjWxLS6mrNLDhtnG7z9+i4P7+6wa59H3Y9RUliQ6xqD0Gr977+pxY51Z/nEXW0eeH6co0tV1jYFYxVDzdNUHI3ngqMEKnWhLJNDVn6kU6mmdbHCxSnQLUFAlAiiJM2KJoJ+bJ+dBIJQE4ch9WqXt79+ie9+bZvLdyasmXAYDBq0uxbYUXqt4kTZristkUJywUZNEO+dPbDnvvdv3n6D7rTbH2k0m/+8Ab64uMz8UpcgMu/5+j33/sZtX/7alIiW2DwpiRJ7EhNjT56XgJ8YfCnoJ4KedOm7DsfbHicfqvPQMz0+c3GHd7ymxxuuW2ZyzCMMPYLII4ws0O3JU/nJixNJkhQA1yZlbl0kFoQwaVCZZkMdjecm+F5E1Q9pVPsk9Pnq45K/unOcZw+NISKfrROGdeOG6XHFzKTH2mnJ+pmIzWvbHJvr8EdfqBMHVTZuFIw3HJp1aNYihBvS7tcZbxiEsB5/FEsmfUWsYzqRR6eXsNRWnJircuE5DX7s25f5wF/7HJmr46govTEc4rjCIJSsnfK54tw2l5zT5bkjJ/jk16vc8dg4J1tV6r6i4UHdNXiOwVXgSJvOF2K4uk4DRtubLtEivTbC+ueJIExskqifCPoJ9GNDHEfoKGSq0ueNr1nmXa9p88qLY8arDlFcY7nlE0aeJaDYSQnIElGcSHQiSLQkiiWdfkB47J7ZQej8xoUXXxl3W8f/XDpNqrV/ODb/BwV4v99ndqr+trvuffT3b/n8Hc12u02zphiE6ZKX2AxbpCzAwwTcBLzEUFWCXiLoKZ9B4nI2qPJ3D9e5+7keL/9Kl5/5zg4XbO4wO65o1h3C0COMXeK4AHmSAVzLwlM3ReJIpLUsShmbCXVifC/GVSHtfsRcO+J3bqlw6OwEj+8ax2iPqapgdtowPSaYaiqmxl3WTEnWTsVsmOkxNb7E7U9oHnt+nEs2CiYakkZN0qxp6tUQ4Qb4voOj7M83BpJE0g8c+oOIWAs6fU2na1hsu5xeaHLtzi7XXLjMJ75SobqocGRkAWkc4sQjjGyP5/R4hSu3d7ny3C6P3HCSI3OSv7hjnLPLNY4v+HhKUncFXibDpA08cyLPpAqWyWMjiDTEWhAkMIgh1AaSGOIIqQLWT/S5ZIu9HlddkNCsOsRxnVbXkk8cO4SRS5zIAuCxXWFjba9PnEjCyFqS/UGLPc9+dcr35O9v3Hbl0mDQ+/w/JCb/wQB+9Mh+1q9fqz71qU+d+8yze5rRoE3VV0Sxtf5CJUhSu85NIFIGJxHEicHTEMVQSQw1JRgkkp5jgb4QVrnjsSb3Pz+g7gf84JtabJqK2bK+z7UXdXCEbRFDpADXCqPTBmRTYm4MQhqUsJ65IQYZ89whyaO7HW59uMFzRxuEcY2Go5ipGibrhomasT5402FyzGFqXLB2Mmb9TJ91M0vc/WzAh26dZd24w0wTmnVFsy5o1GKqfsD9exWD0MGtW1AZIwhjScVRXLajz0PPjNvCp37CcttlftnnzPwEP/bmMxyfX+ChJ2dwJSAiNOQACkJJt+8w0agw3qxzzY4eN1zS47tvnGP3Mc0XH67w8O4qew/WiYVDECh6kUKJrL6nHHimOQGjibXBaI0rEsa8kAoR11zeZdu6ARunI77vDQFVT9KougRhjVbHsnVcZuxYlZjbAjpKbA4gTuOlzCCIE8Hps12W732guebA2XO//W3vUHv27kt27jjvnw/AH3jqOQ60G97Ss4/8ULOa/GYUthhr+kSRTpM1GiUzfWeDQEebXO+5iSBWJpUtUE0M9UQwSGDgugwSl15SpdNJ+I1PTGDiiDUzAy7cPGBqLOYdN/XZPBsSRSLV2xJKzE2qP6XUCCn47F1Vnj5QRzgOR07WOHGmRqWqGPMF43VDs6JpVqBRFYzVFM2GYqLhMDUO0+Mxa6YGbJhtk5hlPntvk363znkbDc2aolGTNKqaRiXGdUNuf6hC0JO4s7ZbNJMo9arijS/vc88Tmm4g6fYT2j2H5Y7D6YUaF2xr8I5Xtnn8uRpHFhsoqYEo1csuUWLdpEEo6Q4cWl2PRrVGvRpwwcYBV+8ccOxsi8OnlnHchKcOOnzm6zWEUhbco/MHjQY0xhjiMGHLmph33dRnupmwc4thzRQksUsQNohj2w0URw5R4qQBZCFDcmCnYM7kY5xWOsaxvclt1aPNmJ5eXEBWNv7mw4/c37v65bN/dvLoo+H6zVf98wD4rj1HEOrMjv294x9sHXtUKulS8ZTVfKn+i6UhSkQJ2AWjx2lhkKutPvcTiLWhlgjrz2pBkEgCLQm1S6Rhrtvk609rDAl/+7Ad2YDR6bPIidqLaSsShZBIpYgjB6kdXEfS8GHbjKHuamq+puZDzRfUq5JGVdGsOYw1JBNNmBqLmZkIWD/TIWGJ3/mbCvc9M8v2KZiopexdkzSqMbVqSL3Wp1qt4SuJkqkGx8qBKHIZ9AX9IKETKLoDTaevbctc3eP4mTFecWHAT7/zDL/1GYejyz5CaIyJ0Ikhil27zAe2jLXRd6hXPGrVCjW/RsWPaFRDrjgvxHMjrjov5vte08NRcZoE0rbevizKU0mntUQIie8qwGMQOCwsOmndThbzWDAncRb/2GA/iSWxFjlzW4BbUGfH1u1KdX5ks6Zxorn3vofkxtnwg6cPL9/b7gTP/kNg8/83wD/9mVuYnfarjz+7/+Znd+0Rsw07U085Ag+JFAYlbPmpTGx/oyMtYyeJIdGW0ZPE5FF8kurAOPtMG5uY0BAb+2ehlsRGkmiHSPskqe1VfuRZSgGOEDZTqaBSNVQcQ0Ul+C74DlQ8Q9UXVD1JrSqpVRwL8LpgvKGZbMZMjQfMTnZZP7vAh27VfPyONWwaV0w3NM26olFT1GtQqyY0qhGnFjQHTvlUPPv7Q1bpJxiEDtvWatZOD2gPPPoDk7K4ZLnj0KhWaNTG+b7XnOXgqdP8yec34EgHgybRCbE21lEKFf3QFkX1KpLawKHqu1T9hFbHxhiem+A6Ca6b4EjbKCFlkmeNhUjrVuwZS0EuaOm0ylKncU0a3yQlLZ29Wn2dAluLNJEkhkCeJZeiOAO6laZxDFLY4PnYkd3CaHFzbfy8A1+94/P9177+bS8twNfNVLxWe/7n4/78z09WEomwzO1IiXBE2oUDUhlU6rMmicHJsmna4CRpkJMGoTadXlhXScnKsu5ImrgxpEVa9tiMdODZTF7aASQ1jiStIQdXCVzHWN/YEVR8ScWTVH1FtaJoVCWNmmGsnjDeiJlsBkxP9Ni8ZoGH9wZ84q71TFR81jQ0zZqw4K5K6hVNvRLTqAU8vAee2l3j3BmT6t4ibd4PFFftNJy3uc8jz47n9dXdvpOC3KVWqVKtjPPuVy3y1N6zPLRrLRiF1okth40NcWTyepJ+4FAbGKoVRcXT+J6L7yX4jrYJM8eWGCulLeFIGx8hDIJCzxXBuS0h1pkjpTP7NXNDRF5qbK+lfV1xnGVNdbZqizwZZ8nNXn+lFEdOGNkJ5v7ruvV1z6/UfhUIXzKAG9ORQTB43+1/94l/Fw/OeBNjDlpbaZBokIkt30yEQGlDLK2DkaQgT5TV4jbZIFJQixzgOgd3ZmUZdJqJy5IVxpg8UGLEBstS1VlCR8k0Y6nAzYu2bPbP9xQVX1H1BbWqoFE1NGsJY/WY8UbA1Fif9TNLPLSnz/s+uoajx8c5Z1ozXoNmVVGvKuoVqFcSqpUIzx3QGhiUVLjKIGXxzTJgRLFHsxrRizW9wO7P0xskdHqSVlVR6/hU/AZb10b88g+1+G8fkzy4aw0GhTaaJNHESUwYa1uVGSr6vqQaKCqexPcMvqfwHY3rWr/fUcYCXKWFbKlMEcKsaNDVaRxjJ4ZlQM/yC0WewTI6ee4hycEs8pU3Y+9EF6DOVmt7/W2pgNGGM/PHvPbA+08/8J7vd+cWe784M1n7e6fz/94AP3W2xamz8a8e2n3Xzw46hyoTTUkQFdo60ZDI9JeWlqlVYkGsE2PBnL2mT1sQZHJQ5yyt7S+e5CeclGVyuV3inywFT15uayWSQClrl2W15K4j8T07AKji25EMVd9Qr2gatYRmLWKsETLZ7LN+ZpmHdvf4b382zZ6jk2yZtA5Loyqp16Rl76qhVkmoVSKiJOQvv9JAKoUrrUzLGdxkS7fL979+iS8/FtIJfXopwLt9RaeraPkOFc/Hd5vs3BTzKz+8wC/9meCBZ9egjSTRNq0exbbQLAg1QcWWu/q+oOIKfM9mNj3H5BlbR2m7osp0hZMlgBcpzxTkqdOiC7DrHODkUweSROQrbPZ5nIE+w0PpNS5f/xTgiTYksS3oevb5w5Xbbvvi22q1yi89/vijXHHF3y/g/HsDfP70IbQx1zz11LNVTyR4rpUmxd0pSFRxx6pEkCgx/Avlv1jG2Ol7YwFtmTt7FbaOogzuVb5XBvCsBkPl9eQirSPP6k4kritt/YYnqPh25knNT6hXLbib9ZDxZp+Z8RYP7+7xvo9M8tyRaTZOCKbqJWlScahXbP1KtRJT9UNcN+DEwgSuEiipU1uuCDKTRBLHinUTNnnSjipp25ftcewMJNWeouK5eG4F1xnj/I0xv/Kv5/jPfwoPPT9LoqUFeGKI4iRlck3gayqhZOCpXIK5LrgOaauftLkAmZYkp2ZAtsiMxJ2YTLborPw2Ix4L5iyuyFfbfBUeBXZRE5QkeoTgyEsF4hiMDtm39/nzv+Ptb/v9OI5/4u+L078XwA/uupXJqW7t61/9uldRrbTWweo5pQRJbNkyW6qUJAd7kgJd6+HlKQdyWYZkxzmozYuCG4qUdFYlaNvcRJq2LurJrTyBigu+p6lWDFXf6udaNaJZCxmv95meaPHYvgG/9OEJnjkyw/pxxUxdM1YVNCqSWkVRqwqqFXtz2FR/yEO7BN2BR0WR3mRWg2dNCIkWRLFDvaK49qIODz/XtA0DgaEfJPT6io6v8D2F53qpfh7ngk2aX/uRs/zcH8MDu2aJtCTSOm2WLnowA0/ie9qyd1qb4qY3t32SypRCxsk0y7sayCnFOdk1KAM9W2mHJSV5rUvO0InJycy+J/8sZ/XE/pzjpzrup/7mKxe/+qbX1z76V1/s/eD3fNs/PsCN2QtsGD+863N/NNlcfpXUA2LtEMcCR9vgIZYGpVOg6xTc6RKmy0DXoB3L6iZlcZOxdgnQWRVgrrXtFxmSJQhbUCRk1sMpcnBbgINKKwZdBzwX2wnkpQVWfkI1lReNasBYo89Eo82T+wN+6cMTPHV4lrXjDjM1zVgV6hVBvaqoVRW1nL0TKn5Mozbg7qc8llsVJiaKNHkGFp3q0yhRzE4pXvOyLnc/qm0XTahLIJdUXEnFdXAdD8epIqXmgk2G9//IWX7ujw0P7Jkl0g5RWgFoy14tk/uRzKsLPUfiOGkRVupy2XND/v2ymzCTKiKrSqNICGXkkjF6Rj56CPCUVuM0lkpKK/QIuZWBnbtoCSy1I3pR91XTe4786c3f+c4fv+OB48uvv27jPy7Ajxw6BvLMzxE+9V3jlSMIPWZHnEWKMLYsqRKBSqwGd7KgQmVLc7qcOdmJKJa0PKjRJXC/EHOnSM8ycrn2llkFXaG7s4pBR2HrMxyD69rG4oqnqXgJ1UpMrRJRrwQ0agMmx1o8vjfg5/94micPrmF23GW2ljBWMym4U/auSKq+Zf+KH1PzQ2Id0Al9hJK4GYPnGjzVrDotEItc6t7AlguEFSYykA8Sep5lcN+TuI6D62Qb0Bou3mr4wI+f4T/+oeaB3WuItEOQCMJEpywuqEQa3zV4ru1dddK4w1G2RFhJmZ6ftCs/ey0VZuU3ZjnWMYzEQia/Zjp/b6WmToZX58I8sLFYrEsMnhd52YBzEAr2nFog8A981yuueehAPIj+8z8qg+87cIwtWzdu+dlf+Z+XXLbhADddEmOEb+92aZDKNh2o2LKDDS7tydSp551JFW1AJ6RRebZsFyyRgX20nqSwuk3B2uWgstTH6ci0YlDaJgBXWWB7jsmrBytukurmiGolYKLZY6ze4aFdMb/woWmeOLiGmTGHmWrCWMXQSMFdrVg7MQN31U+oeDHNesiuw4a7Hq/jSYmrdBrEFYt+tnxHiSLWDq++IuLcc7ocOFplpmY7ZQah7YHsDVIWdhSO46LSmTBCGC7aAr/2o/P85z/W3PvcDIOoSpBIwthQS2u4fRcLcidbvXTe2ypVkq9wSooSwEUJ5KVlcgXITQHwIbBn5FSqw9emkC1ZfJUBXGfsbcEdJXamy/JA0tWG2bHnWOfrS3Zc8/NbWssnjoyNf/PbHX7TAD916gzj482tDzz4yG/3F/tv2xtF3HAx+G5C6MZ5GaoQ1hJTsSRWInVOyrpbpEuVQDuFbhsFdTmYXMEglltSBh8BtzBIldmCxYAgN2Vuz7EdQr6r8b2YihdT8UNqlYDJsR5LnR73PAu/9ldreXr/NNMpuMerhkZVUK+I3Cu3zou27O1ZgFf9gDBJGPQrVJS9yaQQQ5V8WSLFBpqO1fJOYCdERaIEcI3nJXiug+tKHKVQ0s0BjoBLtwl+7ceX+I2/jnlg9xQnW00Gdcl4YmjEhko6ccB3Ter9Z06Kydk7kyoZwPPvm35pkZ/z4vyb9KIUK6vJJYsuAz+XLcVxkrJ6OQiNSwwepnXng0ggHZgd67G8mLztuWceS7aec+H/debM6cNr1qz9hwX48uJRgn716vkz+27eMXOQ615WQ4mYyFjbSTsJYAGmpCQWBqUlWlkW13kvZMbY2XF2YmwCZ0jrrWDtYVWYXQQ77qHcqJyCOx8OZNIufJ2OmUhycPteCu7JLnNLfd7/lzU+/+AM890JZsYkM5UU3BWru2tpYFn1JTXfpAxutXfFD4GQO5/0WIo8pnyG6rERwytUktjmh6bvcNPlPR7aE9KJfMYibXsYQ40X2Fp1z7EAd5RBSdc2aqcZyPM3SX7rZ9p88aE+v/qRNRyfn6A/7jDuCRqxphaDH9nRy56yA43cLNCUIg+Cs9dyoF6+MYXIe0WGpErWKWTKLJ7/niMgLwWjGZNnybzROnQpDCJRfPXhWZZOH+eV1z93c5h4fzkY9A//gzJ4MOjj+ZXzjuy//9+68ZNceQGM1SoEYYgx1gZzHHsa8k54aVPtWkvUCMCLyFuUkjYlSYJILalRgJuCUdJXKXQxXkJkP5vUBrPAdpQFt+skeG6C58ZUvAjfi2hU+zhOj7ufSvjTLzW59b5ZQt1ktimYrlhZYi3AzCdX6VOkzF1m7wjHCbj/+XF6ocO6mkkzhqMMnsUdkihWVFzFNRf0ibUFeD8SDDI3JLQj11wnszhVCkSTD0YyCKbHBd91Y5eGf5KPfKnPPc9PcTqq0qtImrGh7hgLcieNQ5RJ4xKTgjwlBiHSOKbU7iaKGKd0JYYkSw7wMkFlgC6tyIku2DxJwV4APC3HSOxnQkDdgUFX8fyhhMXuU6xZf+6/ffPrr3+i2+3vq9e/8dzDbwjw+548ihd8Eh1MrG+qvTesmzyEEJW8WCcbT5BF3VLbzxIp86xlkQFLu2vSbFghRSzoyV/LkmQ4v2bBbYZkiRAm93MzWaLSyVcZc7vK1mL4boTnRVTckFptgOf1+Ks7HH79z2c5MDeJ61dY2xBM+glN31D3oZ522Fd9m+2spAkhW7+SpCuBlSfz7YRu6OEphSdNHmBmv4ahKC9I0lqNMHapugPWjvdZ7jXoRyIdy2BjBddNUptPpXansgAfClxt5ePbXtnlqgvn+LW/GPDx22dYjOv0fJe6K2k6tgbHd8BT5M0QTpb0SVc+mUuVIgGU2viZMMzRnTP5CKOXJWYuW0r2YQb6cnIoz3hmxynphYlhrqc4vLtN7cvP37D7VLj++KnOPhPvRTgvPqb5GwI8SRIeO3nz1oOHHvtQ6+TDfPvLFwjCMdtfl6ZwE2kQiQV2nKRgSzTKSLTSBXOnQDcZe5cCyPJxVg8x+hAlBhdp9q3Q3TbtbBlcl5g7SUEe4zlWkvhegO/2OXwm5k++WOdz905x8MwEzZrLZAUm/ISGb9LUewZumYJb5kmhSqq9fc/eOM16wC33O+w7UqWSjpfL28UoUG5KK1iSSKLY4fwt8JarOvzpbVN0aw7NdESDH6Zxg9I4jrTuh6IEcrdEq3ZV2Dwt+YXv7XHJtuP88a2THDw9xmJcpec61JWglgLdk8beOKnLpEokkQXrQqSbwqRyxf4KpcbtEZCbEZmpV3ktstSiBPI0vZ8V2qUMnxjb2DxIoB/E1MTXefdNGz60ftPL32Si5W8oVV4U4P1BSMV3ueOuxzbede/B7bfd5TFZhzdf1WahVcvLJ0XK2lprW3uiJVrZVLLWsiRHMoCzouPGnpRhYOdDOEXphIoC2NkKUsginbomGXsnuE5sO3ecGN8P8JyAThLywU97fOSLazmxMI5WVSbHFJOeYczT1FLmruXpe5nWqaTSJPXOc3B7NnsZRCH7jvt0Q58JP3VxsqRT5kqUVqi8JiVyaNYdtm0MUf6ATtig7wmqkZ0n4qXyyk0lipO5Hmlh28rgVTEz1uPH3tbj5lef5iNfbPMnn51ivl+n71SoOIqaI6gqgx8by+aprHRkUd6QrYormLx0LbIbNr9mJXCvBLoYYu4c7CZtl0vZPC51FwUGBloQtgPees0C731Dj6RzYPuZ42s2rtl45WGjI4R0eaHHiwJ8cWGeRrM+Mzvhffrs0WfdjTNVQq2QTojrxBZg2iC1zEsqpdao9FilJ9wYmQO90Ns6lyVlcK8s+clCy6KfUuQDgsq6O62SU0nK4HbshOdGVLwQzw1pDULuf1ryV3c0+ey9UwySBp7nMeUJxj1N3TPUfEPNK8Bd8SW+L/FTaWITQ6kzkQLcc23m89Apwz2P1QgjF79uVgSY2aNIc9tS1DBSuK7Da67q8ImvdtlzvE6/Yue9BK7Bi8GNNG6oUcrOabQyQhbDfSgAlGhbvlrzHdaM9/mP7+5xweaAj9/R4NFdY8z16wyUh+s6VBxBVYIvUxs1s1elsfkEUdbjw0VZOdhHHK4825l+WNbgmgLYmWxNUkxEKdgjDZHB9gFo222EjnEknF6YZc/hQ+41N9z46Uqr/bJg0J37ezP47MyYPHrkwNX7nr9/7KrzBVs3wHXnS3o9Fyk1DqCFQUqZB5NZP6STto2VSy1zEGfNwCVw5zpuFOAGEHb/NIRJAyA7fy8r97QdQwZHJRbgKsnliONEtLoR9z0r+OhtTe54fIzFVgNZrdCoKsZdQ9PT1FxDzTNUPVLWtsxd9SUVT1HxBBWPtEJPp+DW+K7V38oJ2HscTrQqNrGS6tvhxElO4GkfZFpyqiVh6LCmKThvU59njsb0IteOaYjAC0mneyWpRMkSNbaOuvzIA/jUhowSWx/+rtf0ecPLl/jaEx0+dnuTR3c1WejUaEmPrufgKWEnHUhsD6c0OGktf3aTKpGW/Y4CnJWXjDKDQ7FykwG6kCiZ3o6MBXakha37Tx0ZjIaKy9een0UnLlsmI8527xp71StfefV5522/jRcZHvSiAB90T/jNWviHY97++mU7e6yZjJCmQpIMbJCZjgjTWmKkBbJKGTvJ+iLTya1Zj6TRNvbXOahLd/sK5i4xuMiAbYqgUmpU2p2iZIKSCV7mZsiIuU7M3Y85fOm+Bp+/Z4yz7TqiUsFtuDQdGHNtJ0/VJZUdUPVE+pRpyWmquz2Bn7F3BnAnxvNiKl6IMRF3Pu5z5FSV6UmBK3U+z1yKkdvWkJefJqmk6AcuW9YIXnN5j889GNKNXPqRoOIavNiyeBCZ0iqlcr8aIYdkin0Wq6rNmjpU/YB33djndVct8Lf3dvjifTXufrrB2VaNvvDoew6Oq3CEwJUCV0pcYVKpZZCIVHKZ4d9pFOil65mxdi5P0psw09fJCKgz8BedWamdphRR4rH3mKa1HHFi+XD9osuu/8N9h85eAPT/lwG+0NIESf97Oq27xy/dvockcREixvMCVNr2ZH8DgVai1Oibsnl6bLQY1tuI0kVIxYcRQwDP3+X2VAnYQqfNwxqRAtxxEjwnolKJGAQJe07A4ZOKT35ljNsebXJ2qQ5uBafpUlOShmtoOJqqa6i6UHEtuCuunUloy0xl6SnSPzcpyHUOcs+17WkHTmqeOeSD66bLvCml6IfTghmz5WWmiSBO7Djni7cFXLixy+4TNfoVQS0W+JEhUKTWnk7ZO3NTMguy0Cq5z56tqFql0wdcBqFLtRrwA28MeOu1y3z5sS6f+mqNwycr7D5RI1z2iX2HgeMglbTpfNKfR1p6nMlDsgDaDLN5SbIMg1vkAE7IQG6f1mZM2RoDJqHcfgiKEMPxtuRMRyIOt7jqqaeZnqq9GEe/MMCXllsijMKf/tCn9o5vnQq5/JwOV+wIcVyN6xlMDHGUdn0gU6aWaIbBngU+ObARaUNw4Zhkd3rBCJnmzk5e+pQW4FJYxvZ9O0k1ThJOL8BXvu5w4HiVux6ucmKpyoGTdfB9VM2h4ijqjqHuaOsiuHZwfsW149osiLOnTJ8qBTip5k7B7Sb4rmVve2OFHJqDXYdruHLYHswlCkU9eB505fap7WmMY5cLt/Q5b7bHswdjerFLIxIEDnjpTEBVAriUAiHlEJNDoXmLOh+R903a3kmXwPVoVkO+//UBr7ykzYmlNnc+4nHwmM+XH69xcqFC0nfR0iHyFEiVBsvWWsmdlfLrSowXkmw0KUQG6Czq1gWo0cWrNhABiUB70HXgqh0BLz8n5NIN906/8Q3/17/9scHhD6jK1tVEwAsD/LOfu5UoSvji17qc7m1k41SHizYt8+orely4LWL9ZMK5W2OUESRRCu5ca2dzSeQwW+cAJwf6qo88Yjf5UPrsqVSC6ydEieHgMcEzBxVfebjGs4c8nj9UpR34BKEProdquvhKUFNQczTVkg/sO1mdRlY2a+vC/VSWeJ7C82R6A5hCe7uJzSy6VudXvAijQ84sSgLj2+m30uCUbLbRuo7suiam6HdMUj9c4DAzGSLVgG7k0nOEdTqiomDMUXooAylFCV5ZfFMimiQrC0h7KN1E5eMneoHH2omQzWsirjgnoB/2+cFDLZ497PGVhyo8c6jCwaM+UexgfEUiFQhJkv9ykrKYXHktWSUlXZYf5UbxJOtuse8jjSM027dGbJhMOH9byKsvj9ixUTIzVqXb69cP7Xvsu4RQH/hfYvC77voaC4ttdde9T4t1DUMvqPD8UZ9n9le445EOY07E5o0BF+8Mef1VATddFoJJcN2Yas2kDC1BS5IoZXKKOSXF8XBqzNqBlqldx0AqR6LQ0BvYZfDwcclf3+HTixRPPl9h/zGf+a5HkHjgeKBcVFPhSUFVQU0ZKgo7zkylhUfKsrbnCpv0KIPblXipLPE98D1S18SmzF1H47lxmhGNqFZCzi4lfOWBBq2Oz8SYwJE6LxnIcDD6yMtNcy0uCQLF9JTiDdcO+PKjfY626vRdaWWKA25scKPMs049dplYu5DyrBOZ/wxtnNLPsED3EkXiKGJXESUOUeRaK9WNqHsRr7w45poLAt5+w4C9xyRP7XLph4qPf6XGodMuCEmv75CEKm+bMg5FNqh8XXOAl2yVPCOkEbFBaI1JWbxaS3BdjcBw0+UBr79qwEU7I7ZsSGgoyXjFpzeocXphgpNzYwRnj4naxEXqzju/Ft9002u+OYALAVOTzQ+O1eNLZ8dhuW9YCiVLospcD+bikEMLHg88o/n0V2JmJmKM0Vy+I+Jdrx3ktb0zY5rLLo6oV2zalpS9xWp3erYnjzS0eoKnnnZZaEuqFXh4l8sX7q0wiBSDSHHqtIcWDpFx0cIFx0H4Do6UeEpQkYZKCmxfGXxlbA24k3q+TsHcXtaXmYNbpT2aImdvz9V4XlagleTs7XkRSoV8/QnF5x5soDzH2m1D+vuFGTzvhEkyx0MxGLi89bo+n7+/zcfvHKMbV6inOtzNdHiUZRxN3i0khMwBlhZNlLR+CeA67YJ3LJO7jiJ2HJw4sUBXCUrZQfoTlZjrdsZcuzPCiIB33NhjENlxbn93r88juzyqvmC+rXjqWY92T6YqaVSwZMAuwG4M1Cuayy4LmR5PbONxYnjXa/tcdl6EMTAzoZkcNyhjN+aNIo/eoEKnV6HVrXByzmOhG156+Uz9g8bwY98Ugw/6HfxKvfn4Q3+3c/v6SPV78NRxzSCRdjlyXFB2YmugNWdaLmeW7ZKy94jmC19v2iqzxDA2obn60pBG1db+ru6VlO4q7JK73FU8+oxHuyWRjiLQksA4lpmEg50L7IB0kFLiSmHBLA2+1HjSAsFT4KliRp8FeTEm2e7xI/PG4zK4LcOnZbVuxuBJ6RnjOxHGhJyY9wiDCv6YxEvT3iqtyhvKYmYdPRTp9QLkdipXGLlMNBSbpkM8MaAf+/RjQdWxQzCzGpIsoaVkubxV5j/L/owsBtKlIfg6bTYpjX+IkzRvoNLNvWKiOEFF6QhrlSBlzMZpna4Ymgs2DwhND+kYWi3Bo884LPckKlcsw0H1MJXZktp6xXDNpRFjExoT2z+pSoEjSFvjFDqWRDqbWmaz564b4bl9Dp70OTnfVWs3dXZ+z7vf1my1O+2xZuPFAa7MCZKB84Hp6pM3XrHjMNde0ube/VV2nZrCCktltbNQIMv6yRAbTStbhqSmvQyn7qoXS1R+B5dBXdJvWd+iEOhsywXSmlMhQag0qJIoYVPMFtRp2lmSbtya+calVyftpFekW++Rg9u2ddnh+r4n8BzyElPL4CmLOxovzY66boTvRxyb1/zFl+vgeLhSFAFmLk9Wqa0uecTZkFALNkWSWJB/3xv6/O3dfZ4/06CbuNRiuymtrQI0RSeOynICRbCXn9dcCchSgVf21HktjOMo3MTmD2y9uEoTZzZpZuvG02ORxUMJjtAIo5muab7tFdoOX0plpn0VpWNWxlxGQCLRsUqdNIGOJYER1qwYspltTCeEoVHrc/bQgA/fUcM1bZbNwRsvvuzYB6I4+clvyOALJz+OlNI7eOw5FpeXUG5EZ+DaCFe46f9iLJNmlk5eHVV6TZ9JeV0euY+HQV4AnHy5lQhpZ+lJbGmnK8CTBk9YKeBIrFerSGsq0uOskMihNAclY+2iq74AuMxli++ZvKXN83RpcE6Mm7K350RIGXLktGCuXUE4Dr5kSJ5IMXwPi/KZKVVQlvVxnCjC2GWqGbBlbZ/dpwP6icMgAT8RuInBjVMdHmfpdF30UgpVuptELnvtpF2TF7wV0kjjJJpESZRjm5gdqdJitQSpdLpS2GdmzdqfadKiO40Ms0lZppTtzOxDs7pgyeuOitgMCi9/aEZL+veyAarjtZhLt55lgE97sIv/+Re3eHYzsW8A8N/91BxKCT51h8/+41Mo1yVIKhjPtaxdrvlEDVPSUCAx9KusDu4SwPMSWCEQaULBZs/AFeAIkyYdTF7jkR3nn42APBsR4Si7uZTjFPNQLLilffUyoGfBZwrurPvH0blEcR2rTz0vIibii/dXOTNXxR1TeOUajrKDwogiHaq0EyNBoGIQ2Am2b76+y/1PD2jHFXqOQzXWhGk6vVwQlRWcCaEpOoeyQLMoZrPWYTpTxZBOOUh7aZXASWS+/6ijNHEK9CKZVsyalBnIZeF0Za5XltJfCXCzijQXQ/DPrWMzAvgSXPqhYMcmwUf/yyJSak7Mt3lgl60i/ZMXA/hnPncHE83KK373L+69qtU6ge8bIm27sE3pYuVfOVtqS0zxzTzKF93WdBevStjNu50SwFVqu2XH9jUrjSUFOfkohDKw8zkoiqFd2oYAngWcme52MlliUr09XEvuuRGeG3K6pXl8fxUcDyeVJ06pQCn7vcQIwi0bFVV3RV2GzD3xKHK5/NyAqfE+raUavVhRU+DG9ndRiZ0UpqIywLEgz39Qti1jiQm1ye3crNLT1YJESRKlSZQgVjK1IovitawcIgO2UiZn8XywaSkhJ8rgHnp9ce4rl2uUG11W4scFUSOJJTWnwo2Xrb1KNr7tFfue+677zrvotasDPIoiltvm29aPxZetrwWM+y6dUDBI0lkl5oW/2zeJ7aKHkrQMM32vGAaGFMPvM2BLSe4xZ585eYtaAWwlrSxRefdKAeys+dayd6q5HXK9nVmClrELcLt5dWKEIOLWe33uf7aB9B08Kez87byCsFyvXq6jLs5XPhotZ3EbaCZa0R+4XHtRn7e8ssOf3NogTHy6iaSSGIK4dFOLkkyRMmXx8o96ISYH7ch84FIG7kRJlNKW0dOa/jK4rTxJd8FLSyaK4rfh4zyfUWLucmXoN3ysAvDcSde2zLgfuCy3FcKrXLa22vs2nUT3lf+JHODHj5+g2ai/4Uu3f+17B91FppoS1TMYo1HCljDqEZC/kBM0OkIt/6sjzJ1dCJvyHU7/FuWwxei1MqPbLUjI2dzJOuiVPR5i8bQbxlXD4LbjFEaYO+3Z9NL2NtfJGg7i0jMiJOJTdzZJjI/Ks5flALPoa8ycjSENnrF4VhedzftLsmDTQeDyrpt6/OUXA5Z1RD+p0E8EbkzO4lIaZCzyojNrF45qUVmyJkUJ5ILESTvgVQpyx478cBLL6CqxLYgW3DIvTZZJxualrR+zVUS+CIuvghv72TcH/EzCZImx3sCj3fVozbVx6r3vvfSKG+86e/bUl2dn1w0DHJMQx9G5rgq31/2QZk3RGdiUgSMMQqbdNuUvNuLn5yAv362mAHEZ/ENMnpVhpn9PlFgwZ3BRJE6kKBg7mzlo29RErsWz0QhDw25SYDtKFE5KbgfajnvbmGxS5i4CTKfE3r4b8vh+yb6TFYxyUVLiSZ3KqPLKU/yyK2o1hjQ4QzXzmaMSxS7b10dceE6XB/dWiZRHPxZUJLiJwYkFSmSNHgIZpzocifUhyj9SlFhclKRR1oCQuSu23iVRFuhKmFSmyJL+zn6mHOqmEmmBWQFuk3d6Fbp8hYuY//0Vj1VuhBzgpbmI3YHH/qN9/Ine9p1BcO5gEH15BYNHwRLCDJioDbh4u2Gpr1nqC6LEXo9sDHIGbFH6qWL0O4nh7zfE3qU7uVyjIUuAzkCfzc0rj4LIZIoSwnbPZ2BPO11yJpfFmLZi+++UuUvDf2y3PTmw82xlztwJnmMTO7YrKMIQ8Zk7aywsVBG+Y3330sqyogZl6AoxpL3LrDrkTWtFFDlMT0re+ZoOj+9vEiQVesqjmlgtnpWzKkkK7myt0KknnpU7WRZnRI/bJuDsBiuNWtMSpQ1OukIobUqJJVkwd2lCrcx8+FIzSrl+vwAyOegp4WE10sxJsvSanUYBuE5Cs9anFwp2HZI0p9ucOj1Pvz/I/24O8KN7bgGhcJIFXn/tHIkfcMeu9ahYUXNNUUE2BNRieRkC+SjAS+/LoF55XNRPy5LVNnxcTGOSI+xdniBrWVyinGGAe046AMjNtg5MM5yOwc1T8To9ToaejrKdO88fgU/f0SCQHkqqNHs5fCOOZjBfSM3lLF5yU3TK4HHi4CcO73z9gI/e1uPpg1Ui5dKTEi/RqXskkIkpnTO72mYuhn3o9GcNd1GVmTzRdkhTNunASaf/Kmllisy997QRQhbMnbF61oBSbowog3wFwFfgZBToo3+/1MklNRU3wfP63PXcgDufm2axv4dn9p4mTgqJ5gA8tfsYQWNjrXn6/duqHOXI6UU+e88Eiz3JjJ8CLwNVttwwwlAvwOplrT30d0cAPRSQDQWb6ZyOkg4vj0OWJcbOZUppDqHKGDxN8gyBO0vfu1ljsk63C8/AnfV0xukzQrkh+044dEIPlJPKEzNSHrvy5h1yUUp62Ix64Wk3TpH4cai7gp0bBjy9LyTRPn3tUUlszbaTanAl7LblNrGUEY6mEIc6vyJ5hjOth3Hywab2M6WLqWQq3Z1C6mJCgBoCdwH4AuC2MaW4vqsw+FAL3LDDUvz94kbIZI4uBbYGaNYS3nnjIo/vVzx30mXrjo3bPvR//0ztI7/1vT3hbbcA33PoFL7fef39+9f93P69D/DA3ike3zNFw5f4qkiiZEvwKMB5AaCPfnk5+vczbS6Hl/QyqIcYPJMmsszk6Zi2rEZalUCdH6dJHkXqhVtwWwAXQ4Hcsjwps7dK+zq9kMWO5n/+TYOFfgXhu1aeSDO0qhSDc1Yy9xCLZ3JFp2Myym5KmrqPY4dmzeGnvqPD1x5vshB4hNKhLyVe2kOZjXzI7cK0rofUNszKaA06BbfGIEecFZEyuMlnOWZgV1KkDG4lUTIK8Azc0lgCTFeSLPYSq7A6Q1gwIxgyQ6/FCmCTPMbYz6PYEIQ+110Q8xs/fpYHdy3xtted/3NEj98X9bt/mzP4A4/uplb1ePjxee64fwPVhs90HWqOLVTylBlizxyYOVDNiwD8BW6IVfS3EAU4ypuX2qCyAHb5vT35xfgxVQK1IyVOKkmcHOCZ5tZ5UOk6Oge362T1F8Ps7aoIzwv55J0uzx2ognSRUuLLwrMftTazX/AFqwlLbJ7vVFGSKbG2LWdx7HLx9h5ve2Wbj95WQTs+fenhS5ETj5KCSGQjkFcyuSgz+VAfbFEToxUoY1cFbezg1Gy2o2V1McziqWOS/96yrL8zN2V41WcE7CsAvuJ9dqNkN5FAal1qf6wSRS4Xb464bFufxD3KmeN10INCoqwZ86hWPdZPOZyzxtY9C4aTKjmw0/7IVWXHamw+qtmFNcxE1t+X3+Vl7ZraXpk0yVkbhBT5QPvVAS4LgOeJngzgxs7JTqWIqwq3xC0NByo0t2Vv17FTq5Zamr/7eoP5lg+V1D0RmT34whIFMVI/WSrLWWHbZZZhtidOugX2RFPx7Tf2+Pz9Axa6PqFy6CcytSdF6t6Iwm6VGdEUOtyYoutH52xedLw7mbOi0mOZvk/HX1v2tuBOZKbDs2uVaX+K96J4n63mmbO0mkQpMLKKRMn+XW0QQiITQ6zs4KSBdGn3qkRxlcbEBA3ZJEk8C/BnntvL7Mzk1q98/eGfXpo7xZox66PmHTajjkD2mp/AF5EqIw2qQwGlECve5wkSCZJiGGSZubORyOXZ3+UOFzvcnWFwZzsbZMytSsy9gsGzcRPFyAlH2czlocOCvUcqaHyEdPLm3KJ6cHgi1FCniyjgljF3weSiJE9E7mTk7WaJA8bh/C0h29cNWNhdxSSeZfHEyhRHjEjITKqIAkS2dkjm38HqIlEKPkHLYtb3UGyTAl1Kq8/LuYnsuuQTD2Rxo5WnIIAoMbwoaWsxImlFiRzMELMPyZVY5n9uEMSxRydYZFO99tPrt776ybOn9x12jNEEg2CtI80bBr1FJhtevu32UOHfiHYeZm2xAuBDjD0iW0blSBno2ejjoXG+OYsPAzt/VaSjgMs+ePmZbmmtyuAugTzdr95NS0Mz9lbpe8eJUCriiw822DdfBa+QJ27Juiz/blks8WIifHjIaNH1pMu7m2VltKHDOdMhb762xyPP10C7xInV4m6SDvlMhqVSvkoOTRRMQW5MSaKU5IpMj2W6qsjsaScDS21y0CeyJB+1yWMmobNra0rX2QzdbNm5EUPyZZS9VwKcXHoV4MwcqDiRdHttZjaKN0RhuDaOzWFHphfAdaBZkwgpCCPyDYNGM5cr9PWLAn+E9UeCr5zJS1o7K/uUJbCP7taQ63CVuSilYe4ZqCWobK92VexPMwRspxgQlI94c3QK8tjKExVRrYU8uEfxt1+v0x94UHNwpMAVw9JkNMAc9v5XATgj+nvEMiz74lHsMNZwePurB9x2f4+H93iYuks/8XEF+Y2mhBhiOVEuWy2BfKjACV3cYMqyeSKtHs8Ansgi4LTvTX598uOR2CmTmplMy1md8ncs2DsHcInwhqzC/H3x3bNzFaW7J3d7hjAS+Sx6R2CbPX1XMNFwiRKbBZOiYPFVC11XuXjDTD1cB73S8y6CyTLQs+U9A7bKAouSRMmeFuBpckeWAiLF0HBJxylGKDvpJkyOGga6m7O1farUOfG8kChMuO2BGs8frYHrIqTCE+SbS5WDS1FmcoYJQRSIKpWBpkMrR6Z/6XxYUmEXhqHDBZtj3nh9l6cOVwlij0S69LXCSxj5LqJgQ1aC3Ax9D0BlN5tGK5FORQAjBUaBLNWw5LGPBGkMQmczWuxxcR1Lg0ezwHtkVR/OF5QD4wxjogC2oHRGi3MYa0EUCfqBZLGlaHcT+v2Ifj/CObH/C7iOor/YY820x+kFjRNbVEtpbaOMbcrgTr/OMJuvElAOgX3oFxL5MiVHAJ4zd9pQm2u8IWlSsgozxs4BXgK3Gp4Pbhnb5Ezt5K/FsZsGl46K8L2QZ48Ivnx/jV7fg7qLFFnlICV7cJUs5kgcUg77MuVI6kGvVj5bzDVRebdPoxHyxusCPn/3gKcO+uB4BFoySFJHRYNKMt2bfockXeqFsDMacrAP33COopAu0rJ5tqpkmtvIFOy6WLGkNFafl6zdHOS6rMPF6uAeWfXlKH5KbzJpkvtDphi9EcaCpY7gli89gvPV5zE6wVFqD75riIzkVMtuC53rXmPv1Bes6C5/gSGJIoaWlSE5MgLy1Vi70OJliSLy9LwURTazzNp2ulUGeMvWKp8PPgLu9OmW6p+tPRjbZ9q1E5uEW++rcs+zVag4IG1Ds5ulycugZuRZfrOaRCkxaG7b6aIZOTHZXJMC6MHA5YaLe7z5FT2eO1Ihjl2MUPSFg5uQfyeRlLTv0K21ksnL4xyUKixDbXT6XiC1sDq87PdnbG5Eqrsz1h6JoUaYuixPVkjbF5HBw2gbPocAzapm7UyP+/YGnF727bYt7/vzBlIK+v0Y04/YOGG31CtvXLraY3gZGWXsQnMz+guWIvvhE1AGuCjYIQO6Kpi9SNOXnqoAd7arQ/50ik1QM0C7JVBnzol1TOyrUhGeG/HkYcmn72wAHkgXIRRuntwxeXHVsJ+fLasZ64gRgFGqpR8puiqX0Ca2dc9OoVV5+t4Yh3fd1OcrDwx49ICdJBBpRS8Red28FKQpfFHiu6EF3vKhMVaeDAHdtrKU2VxKiSrZmTnIS2yeE5NJjxOTS7Yh9h5xeFa4cCMMvhLWK8EoJNT8hK0bIq67fIARqQ/uBB4IQVWD68eplhJDO4O9KMjLcmUEzDDK2vbDXHcj8k2jCtlSAviQ7i7ciiFwq2w3h6wePK1+ywfgF+AeYu3Sa9ZYm0kVpWJcNyZKYu56uMoz+6vguiBtcOkJU5ocW2Lw7IZdRYOPQsuUDvLS2VKNyFB1YZJO600kSeIQhC4XbR9ww9WWxfuJZfFAeAw0ONnuCCKtU6HQ40WvpP0C5a1hhqxLk7bfZsdGW6libFxkjAVyxuIilyzkbC6FIM3TpD75KiRX0tejpDgK8tUxaP9fpWxFZLdXtVOAPYU2BmfLrP1Ho0gQBHY+iFOSBt/oUSwjRQRcjoRhWGOTA7nkrOT6rSRPcpAP15+UqwpzYGesLbPJT2X9XQJ3aSh+7p6U7cBMnihbNbjvlOBjtzUIIhdqbipPyFvTshLeIQusFDAN6ZXRhxkGelmmlKfwarOaFneo+5L3vLHHrffU2XPC3nyJVvQSZasME5HPE0QYRJKO5UgK9s6ORqWKMqlcMTbANMbag1lwb6QFutTpdC2TXiNd0t8ZmE1W4y9KerwsU1aSY5k8vyEChc3R2o2uJHHsEsQVXNfFaI364z/4nTWNuvv/nD557Hxb/G/3UxxKoAgx5F4MPUUp8Mu08pBHbZe33PmQxfhfm3XM3mc/Uw5ZfgWAKSRI6murkgWYOSX5a+p7l8HtKmNHz6nhYqqioSFKX0MSGfLRL9T4yy+Pg++DqqCUQ00Zqmn5QlaZ6GZNzmlrXJFJLSeiJMVkWIYC1Ox3laWMaHbTCkna+Fv0QippEEazaW3IiXnJY894xOnUAZ02HWflA0MxUAlIJlt1hwIsUbrrRM7mw17xiG5nWNpoRPFZ6VkeoVxscTI89UyXfXlWGblc7kYyxRYo2daUUSIIIklvIFi3+Yq123a+4qvO/NyJcaH7b6pVDAg33wKuvOdK3ku86hJRMFRxB5aXoMJpKQbBl7pd8mW+SOqMlsoWPrMZkicyDSqlLCSJKmlvle/RY3Kgu2qlJCm/KhXhOhF7T0o+8bUadv6KZW+rvQtwSlGSTaIoORgNNEX5jQFWA4cu14YUcwWz0QnZWGqdKBKVavHE4d2v6fG5u2rsOu6CDDFCEiQuPUoyQYBI0iuYZImfDKwlJjcrg09lyjKl9BTZsXVHtBZ54Gkk6JH8xmrH5UB82DkRK5h81dVvRFJlq15/EDJ2tvWmMD427lTdgLofM9bIhjMW+8dnEz/LkeqLy5RCnhRLziiYh0GdH4/YS6ONDrJcsSdKe8qUgJ0FlxnIVcbgJVmi0mOlNMpJ5YkTo2RstbeKSVTMF+6rs2tfob2FkDahknfQrH7Ripu5xJoj12iYD4sGZErMNpzwsZ3vOgN5msIPI4cLzg146yu6HPiET5goEA6JcBgIkboqae0QqUTJmLsE8jJ7W19eoIy1MDEm/44ZuJUBI0yR4k/lhjECnUqVsl2YgV0K0KNuSnq+khI5fKME2UpQF1uIR4mh00mYXxygTRcnTCSJEfkIszAWxHG2p3hWFG+Gx8utwtyZKb8S2KOMngKbUuQth4EyDHAz4pxk/ZgmZ/EVwB56XwSUmdbOtziRGiedK54NznfdiIOnFH9wS5OBtOBGOKWu+XQFKVXQDetKsTrrvMAFssfFOdZDKfuyBk/npiiJ0opEO8SJi5/E/OTNXf7mrhoHTjogI5AOkXbpC7vjdG7fZcFm/gXN0BcyubwodfwbgcKe60JaZA6Ktlo8LbSyzG4soHVRLDcK9BdK9Izq7tXclDJ7FyOosy0INXGsiWKNoyS+7+BkzQ8VL+3aCAWBEEQiXc60GbkYw19i1WWldKFXHMsXXrKGGDsDtygY3NY9kHZ6kw65LFi8ALsuwJ0COQf1kN+dyhNp37tOSDvU/Mnnm5w464Oy8kRIWViDJdckPx69ULlMWTlWeFWg5xcsazwY3mbRas+CvfNmCKlIYocNMwE/8rYOv/Yxj1ZkRx0bIQm0srZhkiXaDCSCwjYcAfmQwwJIU+o8slWEBoERJnVUjLUOU7liRFqQlTo4Whhkyuorr7cYBvUI4EeBnR2a8nkz2UayhijWhFH6DHVeC+SsnYxpOBFhK2IQSYSQaYIhXaYQKySKGDnI06lDuqoAtRSrACD7hRlm8DKYi70vyVk7HxeRPqUyedG/yoFthgCdyZFcoqgk/btxytw2a+n4EZ+91edDn2kSaNfKE6GQQuIJVjYVr5KWL2yw0ocvAHFTUgmFVVjW56XAq5TdzFP42m4FXnFifuwdXfYe8fjIF6wWB0UiJANtezdlkq2w5QKs7GKZ0s8s7EqrwU1qCaav2qQ5iZI2T9m9DOjs/Bgyt8SuHqPavEyIq/ngK5QCIwyeSpM4tnuKdvoJrU7MmaUYvBhn6/plgvFl6mKJk/OTHDlVoZv/Y0Xd9pBwFMMgzyRJ+UutCujS50PNE/nfKdVUD2ntskwxeae3lIX+liVZMgruwiIs24Jx6dVmLReX4G++VmMpyMBtAe7KdDxctoJIs1JOZRbnKhekjO/yxSkzOLnLUJYn2Bnf2u5gN1QnLq1U0dohThzGvISbX9vjc/fVWOgoK1W0IsKhlwf3qWzIC5bKgnNErpRALlPLEJOm5LEWpJHFipPd9MZkciTV4mUieAGwW6vPrIqlIckywuJQyCmAMDKcXjQcPAX1dYYOBqc9WKbXX2C+O0erX6Hd8wlCuzSC1cum3DNXDpxWCQpE+YuNAHs1aVL08pVAX2JwlSYI8q5uYUYstQLURaBZArfSqQQpdmFzyno8ZW+3FnPr1ys8/EwVnWlvmfZcikyerBxOtJojMOSJvyiJp+yZ++AFYIabgws2tyl8iTKFLx4nLo6OuebikLe8vMdffNEDFYKQGCEItUM/9YvlUOq+jJQSyKUdxJQHnlnwCWkRlkWxNun5MFa2ZCW22bXNpqHpVJsjVkmECUAYK2NyJZC13ZUAXsLdqESWEjxP0qgpao2QsakW4+PLjDVdnI9+ucGpMwGPPD7B5inF+vGYWlXhSFkUPI3q69JFezEd9ULMXU6MDDF5XrBkhuVJxuaqPL6gLFV0nr1UmeYuy5Ns4yaVpH+WShNp3RPfjThwVPKxWxuc7nh2v2tpB70rQbFjQ/nGXE2aiEJzr8beKzBFwd7D3vHwDJOhDXRLdeJKZq92+5M19YQfeEuX+57xOXBGgogAhUYSCLvXjkzszysaDYaX5txQyNhRgip729LKEPtqLUGTvmbg1ukqnLkrItfhBiMymUSOq1zS5rXf6d8pszkU8ipzbtI/VxJcT7B2Cq69LGF6osXmLS1q9QpOqzXO0mLM0vw4k65Dz7cbjgo37ahJ75Ah4K4G6PTOH2LrIbAPuw1lBpdl4OdF9OWmVmyCQ5SYW5kVLF7M09NDervsmDgqRskEJ7UFPS8iSDR/9Mkm9zxetb1t0iEb1ezm2ruwKIvlfqWvm2cyS8FSdoHECLiHM5hFlWHZUcm88KJGRabzvtP5glqRJJpYOqjY4YYrQn70XW3e90ceQSxtBkpLYuHSxybjsgBsaMRx/r2K9yrvcDN5+SwpyPNS2lx7p6u9NDkA9ei1zkCf4kSPYig7liNkWiLXjL1lqgdl+j09F2oVmKxVWNOYYrI2SaU6jnPOrKBmoLPRMN60ViHZnUW5hHWYlYEXZOnieHVQZ1psqM9z5Li893wxZIaCxUVJnqSZvhXgljqXIypN5sjSeyVjXC/mzkddPndPjSB0oerk2tsRdv64U9LdL1YSmwdLJUCL0uo3St9lJzofZjoEbjCKYfY2xcZVUiuU0emgHtuBX63F3HxDnzvu6fOVRxWoKGUeSYxDb0gaZGBehckpAl6F9b1VzvIpY2PyBguTAz99n9unVr4UNqG9GTIgr0qWqbmRY2g1E0MW0oh0hQkjwakFj6X2BD0xTr05hjM7oSByWDPp4HoKLx1OWTT1rkzCrCZBimzUSl1aBBlm5N8oGHtUlogV4C7P/ssmnpb0tzTDsiQf4J7kxzJlbicFt+dGLHcNt95XY8+pipUmwpbE5uydxgF57Un2/eVq58OMAPpF9EkGbkORUClLFLIEi1iR+LHBpi52lxaKJEmQ0iEKHHasjXjLK7s8vMujFabpV233SYqEYkBhG+YjJlYBeTYv0EBaYJXWqKTMLdOEj5TYTQtMQUxWpttacZOTZQb09M+MWQHclRJlhEiyhoh0NL0Q6f72MQxC21+6lDi4TZdm5ODYXQ3S7apdlQ+ndNJ52uW0+RBYR5h6aEmRZYliVtwQ+TIv7UkuA3qYxXXB4iWQD0uToj4jlyiyDHSTau9SQkfaTnlNwp9/scqHbmlgRCZNLHtb7Z2OZBPD/vyq8iS9y0dzAqtifDTVTFmDF0M5jS662lcA3EjbfaMlWtqAU2lNlLhIpfmxt/fYf9LlQ59ziOIU5KmsCYTdsFdRgJwRZyWTIJmFSNrsYPdltTd81ghhUoa3wLb9nJn+1hnQhSmBNE0IMQxcmZ+7kT7N7O/l5z8NagV26xOTrTrpjhmJJAjBjwzO3ELIUstu+uP50k5gTfsah5IuovghYhWWHmb0EVBnQE81kyhr2SHLbTS4LM/bMCXGLkb6lmdYD0uULDtptbeUhWuiZITrRew/LfncXXW6XReqNkFi94MspeVH29LKN2/5ph45LmTeN8PgJdCXJMvQ9os6ZXI5yuSyAHkikdLONGzUY97+6h633Vtl/6l0KbYRFYkQ9Ieigqz0anUmV+nqokwK9HTRkaJkJ8rUGhSpxBKFvM2CS1GqvDQpI5ZX/UzCDONKFKrAkAerUgh0GvAWm97a8+Ipw0RDMzmucaYmqqAr1KsOVV8OzdrOGbvE1KPAzbuj8yV69M9HGbw0BWkVYBfgLw93LAeXOtXfuhRoFrIkB3e+7Uahv7Ptvh0nJog0dzxU52tPVO1w8BJ7S4FN7GQ16KWZI6vq79I5oHz8TT5yNs+APvqkYPDh7vuilFZqSSIUKtFooYgDh9deFvLaa/oc+5JLoK0OT8UzMQ6BsL2XwoDQmZY1eaCZfyVh0/XZe5W5JyKtSYFCe4sim2mDyuxzG3xm5yx3VTKWHnJRMplC4Y+PkKkWpOW39tokIt0xOhZECvqRTz2p4mzbtmXZdeLbluYr/0qQoNL0UsbEjPzDLxZEkjL1ytT16IyM0lI/AuxiJngxuXSlRNHDYC/vI6MSsg1ji2DSPqWynTrSi7n7UY9f/7MxEu2ApwrtLWQ+jq1sDeYDdcSwb19mb0aOX1CilJFdliw52LMCrIKtjTQlmWLnpkiph5k8lSpC22FBnpfw8z/UZs9xh7sfkWgvjc6wS3GkVbrJ+2jHUQF2UnmCTt+n4JakulwUEsVKBwoXRRbnKwP6KBEWTF+WuUXNTOG0rGR38tf030sllec6IOu3zcxsWlavunpDN+jNH6h45kddGeK55Lt4ZeOJpSoyeEN6dKjib2Q+X2kj1NzHLmcj03pnqUpJnLJLkm1PUurQyYJJR5oSY5cYPJckJeeklNCxMwYjji8Kfv1jY9z3RD3ts/RA2ZY0RwqqEirS9nW6Mh09USqTHa7lLnf0F3XwqjxtS8p8+lbeMC2Gz195rqEquUZ5QdeorJOMNPiWtztP9ayB6akY3zE8/LTHcj8LoFKQI/Mp4sN1M6IEe1FSLCVZM1K+MVohWZZfw25RJr8KiVbYpCW/PZdwIg9uywVWeZ14WosSJ4YoMgzCBCldjp848wOPPP7sHmd6PEAISRxHDPoxsVaEsaX7rLMk+93KQSM5g5mhu2mIsRlN7JQTPCX2ztncjOjwURdFj7B4eWuNUXBnn6WlsNLWeidewsc+3+Rv76xjKhlzW/dEiKKoSo4UVq0WVA7PeRE5SFY8RrR4nuApf5YK26KSr9xtX7S0FV64yTW5yT9La1SEQmqNEA6yn3DzjX2eP+jygQ87hH5cAjgYXELb97Mqk48Gm0akiZ80yIM0wZNLllSH58FgweiZLWg3rko1OyK340djNxitV1k5X7yoKDRECYSRJogTXE9htMZZM9VHCEEcxXS8mF5gO+tDJIlgBcCLH1heLoZbtuTIZ/mSNJSWLwG7DPDVQJ7uQZMVV5U3RVLpno35bmAqKfZ1LL06KkaqhK894vNnX2owSJzCFhQOCLuJaVZzUi6sGvqOkP8O4sWeK9TJC2mVQo6Uy1TLdmHR6VIKOGVp1JsQyFSi6PxVoYUm0Q6+q/mhN3d54CmPrzxRx2QAt4Y12giCtDNeZAyb2ZQypUqsDs8IXYnULdGFLZjrcpmtDya3CzOgi/KrSEcQDUnf4ckLekSXixIWM4An2hDG0A8Mnb5BBeC41olyJpsdK/p1SL0SM7c0RhAqoricbl3NORnW53Lk/VDAkN6x5YBTymKUbr6R0VCqfnUGL7ayM8OaO2NxWbIEM+0tY5QT0QsEv/qnYxw84WNchd3Mdjhr6YrC985KYtVq4C3r76HFWwxj+kUE+ehQpaG0PeXiK7Mi8BzqvjdZQZZEi4zFJUIohHaQYcI5G2J+8YdbPPCffDoDWURq6TfXKIIcVcNaHGnyjiPyLGaWACrqUNJRhxbUsoQdUzD6Cztvw3FfFt8w9P+M2oeFpEm0odWHY8sSxxNUPOvLO2d7LuMNxT3PJDy9q80br6rSD+okunBBViQzRgNHCkCPSpl8TvQq/28xlbR8XAa5XiFPss8zf1uOuiWjQaa0vZZxAr//2QZP7K4Unnf2TGtOXGFK7WiFPTgUVJZ+55UIzyrlyskeUwK2WQHyIU88PxY52lfOLUytQi3QImVzYY/tn5VZPG1xEw5SGy4/P+KnvrPFb39ynDDJvnQB9kQqggRSk3sY5DmIRb7VY54Akuk8l7RoKmtn01mcQakupczUmSoYSc0jKDzynFhXGxpkz7eSgoorqFcjfuymUwRmLXtPzlB1IxzT/HHEeINQPs3DT92KT5PN6xQ1305eXZFCL4M0A/SIFh8F82qfZd3oxfZzq+tuu3V0obtzuaJ0CdyFTShz5i7a0FQl4SsP+XzkMw1afddmcMQL1ZyUtPeKQG5Ef6/A+KgMWUWXm6GXFZ8NDwIaTQAVaXuTaW8tC4clK60VCp0YtDBpMkiRxJpmRfPed3R57DmfOx5UUBNF0Yi0qMpALpTIrUOwPraDvYkzV8V+njG5ZfOM0DL2Nqb450ft44wMtVkJ3lHAC8xQoid39YUtH2p4ikt3uFy5dZILL38djanLSKIOTrNaoer7rJ/yuGCzi+8p4iSXXUWjweiIhBeVLCNbVeR3all3jx6PgDtlc1UCecHk5d13SwFllpZPEztKxkgnZvdhhz/4dJP9C266770Ftn2OsHdJlqwIMFkN6CUVUtKGiBcOOFdL7OSuRFq2Wga11eGFXCk61NPNq4xApFt1m3R+SW4dCht0CmmQkWb7ZMxPvrPD4dMO+04IjJOyeHaxjSBB5kxutNXibpa2l+lnwmp1KVLrUJCPbyvmxZgC6KVzVa4bt3mcsvQoSZIhRVAKVtPVBJmm+7ETDAaB4rmDY8xuG6MxXSdKwKlVJBVPMjXmsGmtR7Mh8dzRWuvCuisHhqwiTRArg08YYf4hT7kUVGZaXOgXYHI9lOjJgkuZa+1Ub2fSxI853RL86oebfO7OGsYtJXRy50SUtPfwAMuh+X6rRPjF8ertV0OgLn0w6qCUPxtO26e6VpYC0eyZ6m9p0lHIuXSxO51pYUh0qsMF6MQQ4+BKzc039mkFkp/7LcWZZQF+nCI0/RLSIUalskMUqXqdOSmFLpdpAJltjJAFmTLNZsoRoIv0x+QJwlGmzvA0xORFBaQu3SDGWImSGAhjTaub0OoY5pcF60NBbyBwPFfh+/7pWlV9edumiTcEg3Zal2I3Rc186KG9WEYSQAV7lc36srNihizFFdJEvgCD53p7eI90VQa7LEmTVHdLGeE4ESGaL9xf56uP1KzuVqktKGT+qlJw2yHy5gVZO2cfRj5bsZQOA/tFM5qjafqR7OVojYrWaWGTtuApZIrV4Nn8QGGyMQ4SbZQtzJISaSRJ7KAcw+tfPuCtr+jxl1+ShLGwe31kCE1RlGhJkNafQOGaZOztZLqc1DrM/qxkC5oc6EUsQ7ZQrXIeMz4on8uVhobIu/tFeiIFmihKmJgYI4z4suv6p43po37rt36Hm9/6imUlWRZE3zPonqFakXYra6fY6qNoBysnaUYzjKWWrlKCRw59lmUnyf//wv4bXi2yHsuhupMM5Kuk44tUfEQiNZ+/p8r//cdjHDrtF00MsngVUuBLqKSD7Iv9bopkV/k5tLubyLrrIR8tlzaJjA5AKoYkyRXjMIbmwJTOWTEjvVSTI4b/n3IsVC59GLohS0SSBcFGGyabMRecG3PsjGLfEQdt0rt3iLnsaqEL3TVEraNjPbPVpZQLyuWL3RcoW31K93heilDczOXBP3lSZ8hBYkTC2fdBGLFt21bGxpr//vnd+x967U2vsnFDFEVp5B7je5qqn5TavszQiLL8VxUrF9uhO5DVgtHyzgPD8iQ/FsbumFtyTCxr22OR24FlDR7ngaWUMY6XcGxO8ZFb6uw54EM909sZg6sV7J153mpVlh4t8y2OM/pZwT4l5h6CgSkAsZLMS7UgpihVLcpnKQWYJZ2epvStFhd5AVLmqghj5/QJ7ZAIg0ARBZrzt0f80Hd0eORZj8NnS8tWHoABODmTF5LFBp2ZR25E1nFP/h2LWhTsMCDK506kVYZl5jYrzmF2AsqLYC55UzJKJMTG7u1ptCGKEqIoJo4i7LcHtp6zE9erUvFD9GAvrhvng3OULAWEpR9cLvXMnSSGb4DyBkIFSAwrdLi0lzaXISVvPANyAfZRcCf551LasceLbcnv/mWTu56opFWCTgFsmdWcWNckG4OcW5Mlxsx0XzE0khXnoQiIRqYxDR2s/ijS0WWUmyFWYoitbImpzAPM4W1PpDSpXCl0uNba6lRkeg0UCfbcJj3DjZcF/Mz3tfmVPx1jqZehh0KTl0Ge6mujM3DbyE/JDNSWKDJHJSvG0uVzmQWcI4uFKDG/eJFzlP9/SWGAqNgQSZBSsX7DJi699CK63X4B8KnpNTTG1t1x9ujtvz4xLn8OPUhnAOoc3OWfWDTIZl9ADFm8xUiCcrBpXhDoKzS40EVNRQ7wLMDMXJIM1AlKFMHlQBj+6JYGH/5sg07i2pYtkZXCOjlalRiuGMwDTDmqwYuFuHwhhjRjTtGGYru+b/IxWnCVuSiMaPKRlH3R+QNC2xmRWos0aWclUeamZKuoFga73bbV5klsaLgRP/qODmcWJb/3l2P0cz2S2hYZ4HFsb6e2uM7no0i7v2ZmrxohSiAvAs2scjArec3VUPpjBEMQKu73EsBHE2NCgIrTkXFoGnWfA0fmfv0n3nv+HYeOnCwA3hxfz5N3/VJPCHmoVgGdRLhOkVwpyCWzn4oZeqQp5tUeq6bzKQeXekSqrOaiZLJEp58nqYRJNXcGbplgHM3z+zz++o4a7SitEqQsTwpp4g2xd1GgtDKxVZImDH9ekqpDtlZmEX4DAh/Fd5nES964KAHcjIBcULYOZdoBnMkTKaQFtbFPbSTCSIRWVqoIQxxrGn7Md7++x5cf8Hlyb6q5MxSWfXLAIIkouTtpYKnTjKYUpNNnGZIpebo+LZvVGbDLK6JZ/dwM7V+ki0KrbFVQynrx1ZrLkRNLh971w7/S+/RHfqkAOMDmnTejnCoLJ75Kb+FuKhWJVEnK2OXxYWpoL8eiC3vkcpZS9aN6vGDtYoXIjgsPvCxNkiGAy5LXLVPdrdyEpw96/NSvT/DMPh/jSsqp+OJpExb5jBNReN7iBYDNyGtZgpSBLEaF9+pvVoK81LJWfFZ8Xgb+iuKrlL0t4aQTp7CtW1Z3pyOP03S+SOWLzECORoSGS8+N+ODPLfOj/0PwzP40OBlKAhmrjXAwCOI03Zhp8SyGUFinRQk7aVZBqcIcRJbUMQXYR12T8u9rKwbTrRWNIEogMoLY2OmywlhzQCYxr71hJ99986vodAesAHi1PoFUDWo1hQraVKukgLK1DkHgEsUuUaKJYxusJMIUI3BXcXeH7UKT2oWrWYUj0iQFtihZghm4VUmaZOB23ISOkfzhLTWefM4ncUZZO5UoqTTJunWcXCoVWbHsdaikgBLgyyw+5GWNwlnk5+Ab0vcQ2Ifjm+Hspii5C+m0KTI/PO34ESLveRQZi+vUvxA2ISS11eekBVlCG1SsufzCgJ94e5ef/22XTizAHaVScrliQZ66HdqOaXMEJf1dCjJTmaJLxWoW5KWkjhk+LeXfO9Y2kAwSQT8R9BJDFGoMCY40CCkxsQavyrq10yy3evm/lQPcdRXKd/ef7XgH7n2osn2500FKwfZNEVdfGDPZcOn0qxD6qRMg099ZDl0QUfqa5VT9cB2KSfc0L8sTXYA+Y+4M3JkkESPaWyY4bkJPCz7yuTqf/mqdQDkpmEeYO625cEQxAjnX2pSqF7OAqHQhiiTWcBvaUF1F6bNMj/MNhIp5geP07A3NKCl3+gwFnmXveSgBVJTXilSHS2OdhkQYRAr6RFiORRi8OOadr+2x64jDR25p0I2wIM/1QHZsQDoYJHE680SLdI9NbCCcsXdWs2Jnpojhzp4hslgJcIydPRgbQZhANxF0Yk0yCNjQ7HDFRV3O3RSBNsRinPPOUQcSqvtR8UqAO5Vt/MJvf+7Lvrf+45/7wiW/+PhzRxCOw/o1A9505TI/++4W29cKksQhSVSxXZw0+XIpxfDlWpnWLzkoZIFlIU9WAFvoXKqsBm6lEjqh4CO31vkfHx7j7GK5zqQEcjmc1BnqkqeY9f1CmluOXIRVkzyrsfWL0nfB2EPsnWtuM8ToRRGWGWa4VUBttNXe+dzuVMIkWcCpTVqmallcinRkNoa1UzH/5YdbYODPvtCgE2E1XM7gpjhOyUMjiMgapAVuKUjWeerejotQopyKNzl7l52p/IZOb3RtINKCgYYkDLhk0zz/7t2L3HS5ZuMaAXGMqq7DGU8+jv7Ul8XGf70S4ACTE3Xq9eoXZ2brbzt3y/hlg1jTGdT4+FebdPon+bUfb9GsagZh8W0KK7DIYg59XgoqRcbaDAeYK1l8GOCj4M7lScXwt1+s8f4/aXJ6yUnBrVKnpPSKvfmK+d4lcOfL5mi/ZSlALoO6bGWVDYeSozLK6t8MyFeL0wtvPAPzaJA5XG2oM9IpgV6MsLjWsrgmafCZaFu6JJDEoWTdhOa/vLfNQlvy8VsbUInJzaFcppQfEo20kxzSLKsWNjOsKNhbiVSPm6JoKgN3fv5ModezZ/bnOoZ1kz1+8QeXePPVHt1enUNHPbR2qI+teXJddeKLcdQf+maq/ObLt3yMDWu2Hp3046t9BldUZMJ4BaRyWOgoq1SJoQAAM41JREFUbrpiwHTTpzdw0VrmSYshQGROhKQ0Y7DcPJwmbUrlsHmLlij53WX2HgG3kgnKN+w/4fBrHxnjid2+dUxU0Z1TvFqgOxJ8WciTzB50sta8LFOZyZZSu13B8KKwEmUxZ0/lx7L0Z6UNtUSx3UuxHflIMVe5crE0c2XFylLKYI6Owcu71jO9PVQzVKrgK69ApZs1uymNNoyNJ1R9eOBpl8UlWWi2IulR3N2lW1mnjFvOXg7dsFlGczTOyN6UI/rSf6WAMBacs67Pe9+sGfSnOLPQZKldZb49xmJ7/NbDh07+/gVX/eQQwIcYHOCaK7YipeTxJwOOnVpCG8HsmKHeqNLrzjK/bIjj8lbMppAgQ25JweyZcyJSGWLtncISzHoJlUyGGFyknreQSRFkigTlaQ6cdPivHxznzscq4KcyhNFspQ0spSDt0jFFp07+HcpanFx2DSV60os/WiA0lLEsH///eBQXupTZLNemlPS3xo5NsH64yRNAoy1uIg9AUxY3NgAVyJzJ0SqXDWDQfcNrrhzwyz/V4pc+OMbBkx54JU7UqYUhDLYVqLBhtRBE2o4id1PQO2Cn1IpSIVb6WeaqjDZxZ9dDSYMvwK1rxp0Gz+6rM171iRJBFEFkxvn/2vvyeMmq+s7vOedutb/9db/eu+kGuoEWaZZmXwQlaiQfUScZJ06MaOIeowzGyUjMuGai0USTMDFGmXwcFIyBaFRoZWlBBRSUtaGhXwPddL9+a71XVXc558wf55x7z71Vr+lGsMHM+Xzqvapbt25V3fqe3/2e72/rG16bnbiDAfzc886D67Do8SemcWByFuUSQylgWDLIML/gYnKmg8BP4Oq8x1yMN9EX1S6+XXhsh8hq5YRAWFKhADW0hHC1nXJQDe7xCQcf/rs6rr2pjIjoIi5Em+ICRSFmYUmyLPliKGyRhqS2qQdgLeOS82DarUrsl+V4OukdVJU3cXkw28/lYy+Umczan1jAhlURi2Sue5ICm0ASJfEqWkO1Ti6VTi4ZuJAIHI7XvawNLoA//Xwduye8TFk56FBVtLiEqVIBofm3gKItFFYglp5Yho6YWG+Q7CrrMon+kkTDc/DzHR6WDDooBxKBm2Dl6kFsPvmcSIik65N0Abyvrx/DA7XLNx6z+tj52afPoYjQqDrorwGcU3Qix4oPl+mspwXgZnzbDvSxF5dKB08tthU9mFlwy6lDOJgjsHvCwRV/Xcc3tpURUd1qjfS60dR6uxRWCYjMenfx7UUWmb2cO6SA5ExBsoBu71NQCnLART7eJDPlBYkwzdmU3R5lHTIrCcksvM3BLeeP1Ho50aGAKhczp2QDhCFJABcc/+miNhwGfPBzDew+QHqgpseX0qqVEAQxVT14HACOJODaijO98LSTGJgVkWoYC9WVDQJPhQXMzCljWC0RDA9W0ehfc0v/4LLLJZ/rMdUKY2Swjh/84AfNpcPVHUuGSnygztCoAeVAhc6akw50W+S8rGeUkcyhk8V3axATYb2Gp1aaUmO1M3ATxrF3muFDn6/jGzdpcBctNvIOHTveJK0QWwRx130rQaPAU7PFUB7EecD39uoezsicPN0TwfzqBtgiR1nyZZfTBOViypukurC+VTFLUu0cMiG2DEKqalkOl7j0gjb+/B2zWDIQK+1OCkDyHrdE33g6O6VQTplYApH+n0jjsMmcNkYS5On3yri6uZpyDrRD1cVheo5jZt7lrbiy4/Yf3tKkTuOZAW4OFkett69YWv7FYB9QLwuUAwHPzcJVe6WTmfhsc0tlPyuWO7XOuYlgg1xZ7lycCRPgLsE/3FDBtd/T4CbUoiLd1MR26jAYamKUE5uiyC4QpyeU9AJwNw3JoZAsZqoPBdkF2dACuwF3au219YYkXfxcSJJTV7KFXaF7hJW0LGUGcimyTm4qr5PA4RKvu6iN33/1AhzOFdIWBbj9WKRcTFggz98IIkEU+AWQCM3hLRc9F2oCxIlEO5RoLiSYnU/QipxfzMzOv32RaJHeAD/vvPPRXw35UetWyIG6RCXgCDwOzxWqr3uuuHyW7MtygJX5x7a1JlJ5KG01hdhZORnnpkwADsGNt5dwzY0lhNQUTdRAhg3yLJgqW1jmAZ2nJDK11F2uetic3FaLLPDbRkH/Nbz8sEBucW/rYXfSQw7cRdd9L3AbHdlusmqATtObCcpKY41y1pxCSgdSUHhC4g0XtnDB1jaI6dsn+SHe8kBPoMAeSiAU5r8qX9ERUIAXBLEguoMaECcEYQKEsdQlIoCxZavk0wda/Myzzu15ahdlU8ds2oo47lwzO7lzw9zsRMXzBHwvge9x+C6H56rQVANsxacz/dv8VL0WmOomUgWlqHur5xTnJg7wb9sDXP65Oh7c5SmtmxZd8DS76UVfZr1lwXrLRTm2TU96aeD2IBrx9gJy0VCUQ8B3L8Crm5LmzELSPNGVnJwDvl36TaYqiskAyjRzdQVQ+ZxQScYU6YKT6kqyPLWGEseti/Dp987hAwz49vayujwaR5Dh3ot9GcnSkyWt782BnB5OQeBoGmMoGAhAkqyzB6XA8MDgwpmnn3pNqRQsem4Xje2s9y+T448//LnG0IZJKSV8lyPwEgRehMCP4HsRfDeC58RpC2zT2IlaNCYDrJkEmTVP71syICV6QckUuK+/rYQr/kaD29XWu8sFn/FuaE3ahe2xzFvpXtWqbFB2WWrSDfi8RFhw1RcnwiGAu2i9c/DQQM8XBMrTjvT1XYvPjJN3W/H849SKS2rdV3ycm+C6iODY1TE++c45vOqslgoUMXRFCEAczIKb/8JK4UFKzYSU4EIiFhIdLtHkwExCMJcQzEcErZigHRNEidLqT3rJ0ZP33f/A59auXrbowueg6+Gly49B2JnD3MSdKAcLqJZDlPwQnhfDc2KVQcN0d3JiLWhSIV9ZHFsbT603FSCwLbdWTCA0LQGu317Cn3y+jvt3esqRQ9NiAYuoJjRdWObpSY+CoJA54HZVwbUAWgR+12QonDdS+L8ouOXij23XfPqYWBPABgegFRSjrpgYFdvriWxSIO/dNCAH1DYAIFRZcUgj6UkIyUAEQCOO49bE+Ng75iAl8K3tZfWhqf5jx64UT4w0Vt5e9dgBNqqyvYRU0auEIeYUHUYQCpWXCnAM9FWx6dj1GOivH/QcHxTg9b4lYXNq7g9WLB/+uifGK74XIvAjlIMIzIlBKFfXFgHEkeq+m4bRqtTkDOAoUBNkzhySKiiKssAh+PbtAT7413U8sMsCdwHMxUAq6AVlV30TFDJ2gN4UpMc2u3+j+ZUWAy6x7xREkG50d8+AVISxvHwp8G0M2G56/byaC9aCEyRLMeuSEY0RsuLKixRGEkUptGueSAopZJp4j4jj+DUxPvmuOQgJ/PvtpW4VyXxHe+YSpkBMdLYysYBtFqkiAYlVlKMkFII46DAPsc+wkDBMtylOOmH5Ahf0D1YuXxI+a4DH4QHRP7T6zoXw7LkfbNteuXDrNKYjgW//yMF8h4A6LqQElgwkOP/kDjziIoFnrfqL4M5b8CyBwciDgGAE3/lRgA98to4HH+8F7iKoswxcE29iQJ7Xu+3Q10UWl1jEShcmAaz9zQ7doD+8WBQb2wZ8GVwyj6bNydP9rPopOU8n0fzbil0x3Fu1HLGsODEx5MiSI4TIMvelNsfC+uARx6bVMf7i3XOQkuDGOwJw07kKMotbMYsUSdQBCC3MYqm2ywSEh6iggwtOX8CSgUS1EmcEcx0Xt/+0jIWE4eVnUrztTafPrRhbc+e+AzMCBxkHBbgbjMAL/AN3PCgvvX38wpuv+s42lxGBhx71EcceCGWQUsKrhLh4yzQ+flkTI30CCTcfnMCyQxroi4FbQlCK79/l432fruPh3QcBdwpyo6QoMDnQni8rcCof322Bt4fsVwS62a+olqQquGXxcy+ytx0KuAnQU+aynD1dHs40stBKSDa6sbHYMpswgHHuoGCx1XYICkJFysUpMR5RmvZMzQVcpSAX2Lgqxmf+aBbvTICb7wrAbWpiB2elJ8W26CRbLScCY4NtfPyyA7jwJI5SiQKSgjCOMBZ4+LFZtDsEx7/kZfHg6Nylbrl+YGhw8QXmMwK8Ug7ws/vHce6WDU9JET924/YHjn5i7zxIUIEbOHB08M1Mm+NHP6doRapHsnESpL9Sav3sJIdMLaFUQjCKG3/i471/2cCOcU+naVjqSK9b+jxy8SaMdFtvw96JTVNSUMsusBp6knuc26k3iE1chbVH1z7FhaT16jznticAULDemfHryt2EZfklUhBT/WopAMnyXFxSrmlJxsWFjv9WrbqlkhUNviXShSKVAhtWxvib98/iPZ8Gtv1Yg9z426U5aSagnFonz0SWqRlU9jhO3UQQuHW05j3lW6Ucnhtjy9HzmA8H4Fa2PiboS55qNx9Dub7uoAB/xgxZz2V4avxb42ccO3PZO96wHnAYBkoexsrAiqrAqprE8hqDW6kgET7CKECUeEi4ysSWGujGehdv1JUQDsG2OwMF7ic8yFQKfAaAIwN3WpkKi+jaZhu6t3epIxZYbXx2ReDlsGtRkqLJP8SRz67PT4jcPjYfLx4Di2vj6vW2x5NY+9GCstL9WGnktnpjaeUhwYYVMf7qfbM475QOKBdK6Ibh10KDW2TfSIdPUkbhMBfECSBJgGazgf1TA5iY6cPkbB3TczXMztcwN+/hwYmtuPEectm/3HTTuHzmmIFn3mPThuVoteZRKlX2rnzoh7cdt3LPWaK9gEaJwHNVEAwhFJWaj5mZEZSZ+lIOUxp55imUljSoQ149gd1TDu6418OVf1/HjnEP0isC++CxJgSZFFu03inY0QPQPReU+edSkNuSoAXcIlV5NqAugriXTFgEc5cDKCchdjuAYPN0mefpxopDQvN1ogQCKbKrsNSlKvShREo71FVBCG08YoFjVsX43Ptm8eGrJH58j4/dkwA8/clNuVlzidNX3TIFAiYB10Gj1IdHxxtoVD1luBwO3+MIvA6S+hocf/RJt502fMHeJGqhXKo843llz7gHgI9+9GPYcvpvTA301ZoBSV6/54lxDNQpGmWKRpVipN/B+mUe6uUAlNFc8nCuGpVV+dUJOHbsdfGxq+r47DVV7N7n6prdxaQFC9BgBdpi51hmkWdM1+qwa5x0dUqznrfjUbK24lnMd/YcseK4ddcwEwtOs7LJNL1PUqpjx4cXY73T0FwrDjy76vTa38R6Z1VZTbOw7LPK7qtWWpPdTNoeVQ9SUaDHhC8uwPWf3EQXwFA/xzknRViyVOChRx1MTdMsCMiSeAllKDGg5kjUPYGRisDSOoOUZcSJjzCmiGKGOGGIY4G+4dNQbax9f3vu8e2NgXWHAt1DsPF6bDp6Jfr76nd2WvPfjBcmLtnz1DiCgCHwGGoVhv46QRQ7aHVcuE7WG8cEvGfqCYdT4nh0j4uP/F0d191URoczVcchB+6CDAjDubOFpYa8tuAyH0iFg1CSwvacZ9P8bgX+nKMkNkexB8nqomRAWFxNycmApLC9KBXai0mtv5nYw5xUmB6TZItNYlIpjVauF6jGqqcKilD7WE4iAQJoS0619aY0y14z600CrsrLQlny0T6ON168AN8V+LMvNLBzjw8EXP1aWusmRMIBgUclAgco+xKeQzDdFHAchk7koOSrxrNrVm9EtX/TN6v96+8MO91Rg780wNeuXopd40+On3fWKe+Z2PMQo2L61Z0wQslnqFUIAk95LlXzUnWpywFb0xLX49i5x8WVf1fHddvK6ICpVBudWpYDuNURDNQCOjKrZpw5BtAUVuoZpAVymQN9Yb2YB2Uvbt4z8iQP/OJuz4KpZKg22TPGVW0oil1iwtrWOxNfFuiLpiokkxgzqmJp4iTzflIDds27BZTiQmlGTYRZM5oFKiGQoYDvCFx6fhsQwJV/38Bje33AS5S+DlPPzapHA0AIiTDimF8gkHDQiQDPLWOm3X/D0lWnvWd6cu/ugaFlh3wqD6sM0+pVy3HfL+7evXnzS+4bGRmFyyQqJaICzz0JxylUhiWmt47qkeMFMXYdYPjw3zZw7Y0VdOAArpV9Q508wLucOVYNNeSjBFNKUuTWKFjy3H+Zs+QpyAv3e+1jgznj5znbf0gILyYd25a76NnMnrNiObrkQ/M6mefzKSe3AK9BC8u1n7rxzcSxrbkwAVrZfRN6K4WuliXUTUiGJGYIpMTrL2zhyj+YxarhCAiT1JkjpVBZ+eliWAVVRbFAO+RodwRa7QTDIyM44YQT7/v5vXfvHhgaOxzIHroFN2NgYAQjI0s/uXt811rJm2/g0Rx8F/A9XY2WWdGGOj7FcWIIEuP2+1z87Tdq+Pq2qk5WMAA23Myy2LABTnLII7Dc8bAWksgDtjeobatsgTR3IznLnLPKPRabhzKeabdiTMpiO9iANcC0LX1x4WnTlHwwlqEnSu8m5qphgRlUqJQ4UEiiXehWnqUwljw9b1LXOlGLVEIEZEzhOhyv15b8C9+o4Wc7CEJOIamLSFCEgqgQWS4RcYkwIvAcCUYT1If7MDK6/JpjNx7/ycmJPYcL18MtpAesW7caP737ttkVK1e+uVYJtnsuhecI+K6KMnRdDtdRfXE8FsPzQiQkwpf/3ccllw/hmm11RMwDHBegqjel6TDc7Yq3vJWWOz4fCitzi7XMuSMtOiLzoEZvsC+WgdOlrFh/SHHnZwXvbiwX8zDVdpIHcuExNHgB20qb/bLt6X7aYZRZ9YIVL9yQSoaZVCjs0FuRyYZCOODCRcJdRJEHmjh4/fkdXP/JA3jTb8yighCIO0g4x0KiCvqECUEUA1EiESdCaeCOv33Z8pVvvummm2aHRpY//wAHgHPOfRnKJa915jkXRdVaDa7DEXgCgZ+g5Mcq4tCLUCm3wWmIr/x7CR+8ahAT8xXENAAcH2CBAjhxkbXys9SSLr1bgxvZwjJXlaqH9Tag7bLgJIVLBkHbkvdQDYo4LfLvZ4HjbqvcE+nqwDYdsd8or5ET/d/elr0uS2XL9u+KPgSxjpPPEMroS0Zjcr07TRy5pimcG5B7iOIAIvbRX6b42GWzeNMrp1FBC7LTQSsRaOpIwXYEdCKJMBKo1ep45SsvjihzWxdeeNGzgerhUxQzli1fDSnFT47ddMLWiSduLlVKbVRKIUp+B+VSB5XSAnZPRrjh9hI+/uVBzLRKgOdmQAashVTxJ7bkjoJ1zCUNoyC1pfxbdlnmHGdGL8AXLDi68ar2Jz2QXVBgyOEi3bLChkvoQyzqwZcmDiUDLojMeT6zmiqyoLLk6Un2vLpPYCZLRkmIAT8BIClk6oMX1ueyZZzMhOjpAkocJJyjHsS48s1N+Ezghh9yPDoFzKIMpstuMCpQLbs48cTN7bVrVv+E0mdlhwH8EgCvVmsIw9aHNr/kdLmTPvhHonNvUC0nqFVaqFfmcdeOBB/5Uh9uub+BUJSBQMWu0JQtqyag6se0pIIcZGgO5Hbfyl7WO+9+72GN0b0N1jZ1nxQe568IKHzCng6ggux3OCPv5NEgQ+a8Sbk3sQy82c/2cFqkWxJrtkhrEphJQkj2HMkmBTGRiPq/eaw0F22cen1RQ2VAdQi1PrNEgiQCSeKh7EX4s8vauOj0CFd+KcGPHxzElKxASop2yHHcxlWdc885668cx/nvlcozO3QWG89+agDw/bKY27ftyuHh/k+NjPRH/fVZ9NXmcNcjHFdcNYDv3T2CUPbB9csoux7qLkPdJai7QMUBfEZAbMeNbQdzoXvq/Vjh1uWhJEgdFulFwMTCGPwZekK6AWovPNPnFrPWi1CXno8PZRi8oIfV7nLbZxtsmmGeyXzH3Z7QNI9TGtBrCoIC90YPbi7yceX275XRmYyHc84QcwdR7CGMfLTDAO2whFanjPlWFUJUccGJBJ986xS2HjOBuDWHyWaM/qVjUd/w6Kf++V9uv7JSqRw0WvCZxrO24GZUgqlI0pFPuJWBaN/T8iNf+FdKr9s+hHse74db9VF2KUoM8KlQook+mbEA2gnBAlTVUNsS5RmuGj2tN7G4t8EJQc/H5r79P2fVewEO+Rd2pa4dBOS9JlBx2ADs9RyQOXBy25DRkzwrIOm9tHBnwQGUs/7psYlljLOZooSVzIob6pLSGMuJVxxCEnBOkXAHceKAc5r5RqiEwzjCWC1At2xo4bPvnsXXbmnh+juWiWVLBz7SP7bs0+P7DkSHh8bu8SwvpPnx5GP/iOGBYNO3b3ni3jdecRdrySGUKx4aHlBxJHwmVZlb/W6JUGlHCzHBbEKxwAEhTECOPtOEpFydEF38BcUKVbppFLH0cFtNoZnKkpZlo5nCkrnzkT027vnitnRfol9HdKwQScu+dZVn0/dJuk/2HLNCArJycNZnNiXjTPMuYvqVwqpkILN9SHY/a5prPbZL5RUeZx2m88137cpjXduplVOra0qa304IZb2jxEUYeQgjF1HMdA1Eff6ZhOsk8N0EpSBEX3UeUTKHmx+5hO+ZPXZz4Czc/5bf/p1fGpu/tAUHgPlkI5Y1Go9wb9nbX/Oq4b/91s330gFPoO4DvunSRjOqx7lEO1b1MJCokr6q3ECmqColJXtoFpQpYM3C0pqpXUzBniuFGV1cgBLL3Oa36Rf0oJvd73kwe5F/zlBfc+jsiW6LnVpq6zPkdHOtYedc98gvQpWRzlSWdIFpHP/We0iba6eWO9tu+L7UvFp9O+WxBggIzb5EnDC02h7akYuEmzAGZfAcR0nLcczAOcHw2Pnigq2b337vrk2PjPU/9VxA87kB+DEbTsO2Ox+JXvuKs794y117yieu6f/M7MTTaFQceEyCMZJaSxDl4nU7wExIkMQCJAohYSqYMsstr866WUBqZ35XRl/BD2RhSubwWfQ89lw49tiYvUePkNhMOun9+JmGDd7CZvNfFh6bO2k5ZZIBXdovIoW3scCeb2jZ/eZKItfH198/bXSQnmwb3HbRVKhSsISguVDB3IKP+bar8z6VBTdNzlxHoB0KOP4IWmHjjweXvuKLpwS/4EFt67PCYnE8JwAHgAtOXo9HH9/L/+RtF++89YcjzX+94Xu11kITrsPU5ZYh6xtJCAaFxPJlLQhnGk88HeOBHR4mQw+SufrXyAIdjUueFK235czp8mIWlI8M/zK3sUt1MU/Zk6BwINK9qQsgvYn9QUZRlJCFY9nyW5eVz4BuVJMsMKtwnPwZyDyb1iRLjy0lCIilXGqLbk8UQBkSIlSUqBNjNpL4xcMeHt8rwbkDR5TAdZYQo7ozGtMRj+Bo1Jdi5eD5zf7lL90ZtvbwoHbCcwXL5w7gAFCvlRCHrRsuOnfLO6q+/Ksbt/1gYGZ2Dg6jYIzCYQSuQ+B7DAMNYOvxTRy/fgHTzXl8904HV1w1gNkOUVq5teykxE4mzsBtDAk9FCAdgvVOd83Rl27ZsKe3kxzk2IcB9LzjBoUIQftYVt7mIuBN14uFxah5qsi6utaZhKSteZSsS0GlyAKzrK+nuuBxtDoJ/vSqBr79k0FMzdSxaZWHM46W6K8T+J5qE+/qRsJCCJQr/Th27dlTw2MnvXdqunVDo1E+9JN1COM5BfjIUB8AYG5u7urzzzvD8TzyyZtvvnV4rjkH12HwHIrAJ6iVgaE+jiQJMDHZhyVDAr/9sia+e+cCrt/uQbDM95xFDGZpZ2mWPLotbtdYzOL2kv8KO5JezxePs/jbLr7fYvIxLIDZXMhYZ1gWVzuDco6d1Osp85bfEkmkXPz98xcPban1e6j+8tKSEKmeYEKfGwnGOL5/j4d/vrEfHdGH0T4PZcKxfypGwiWqZQeBT+E5agFdq/Xh2OPPmDhm42n/LY6Tq4dHlhwO3A5p/FI6+GKjXq8jjuMvbT3t1A9u3HjMROC5CDwH5TJFrQw0qhK1sopbEZKiE7nwfYpXnNwBE/oXIMp2muKZaUqaVhGMBl7k4z3HYrza3CeG6ed5fc/Xm31J72Mbeqvuk57HKFpSwOLgVgxKz527NPHMjQ9YAVbpc1lw1CKnonvYLv9c4U6aFu8U0ioJpw8smMD3flJCFHogngMXEjGXWGgLNBcSzLcStFocrY5EGAOr12yY2HziKR9MRPKlWr12eCA7xPG8ABxQIN/2/Zu/WKlULj9h49BUf02V4C0HEpUSR7mUwHd17cH07Bt4KccPo1CFz7Vc55he9ijkXS4ezZH9UOhhgUneUKJ4n9iTp1svSSeFWXwaj92hniT5zE8XPZs57dz2bHYdLgN7+ollHuwHfV8rPiVtCy5Unx9ugqpMDRwNfPU5sk+RSBVA1YokFjoS7Q5HwgUmZ0NQf3CqXClf/tM7b/1itfL8gBt4HgEOAK/5zVfhqOVTXzn26IF3jS4ZaRKZoFISqJYSlIMYvpfokm8cc/PA93/qgzMVF04IhUsAn0q4FPCIkhodS8suArsnXg4CopyygjyHJj0sdZdAUlzIEnRb9oPgqZf17rWD7ak0G7pUFousS/uYPaWig/9utiHISjBngOY8u5nAKiEYZOLgvBMjVGsxBOdoc6AVE7RCoNWRaHcE4phj1eplzVJ95F13PzTzlTPPuRjP53hOOXivsfMJR4AG1zT63aRRLX2ZxjuDWkWgEkQo+bq+oRthdk7g5nvLEI4HUAcuIygzCZ/pxlGalnTpwCaox+Kk6Y9OeuO7K1t+kR8323gQ2vIMvPxwhJTMIJM0hrvr+TS2xIoHKfDwLl5eVD1QlFnzPUvt86CuFllXa7OPlASSmZxQAUod8MTF2Zs7qAQRptsRFhIXzYiq8jZEIIoTrF27srNq+dhbli5pXNec7/xSbvhDGc+rBQeA11zyRowNMj40tPK6VSsG3rhs+Vin5LdRLXdQCdrwvRDM7+C6WwM0F1QIrUMdVChQYoBHJTymVt6Oo5OKrRzWbGFEcuAGkMVbWD98TwAWjkUOYrXTRGIUjpVbjB50iZkfttJR2JZ+7i660SvGZJEPUzhsetUj5nvL7itXwYKr+twUCadIEqZuXP2PE+WKT7iLmHtolBled/Y8nLiDMIkxGQJTbYKZBYHlK1d3qo2RNw4NDl/38GML/NWvuvS5AdlBxvMOcAA4+YzXYUnfU7w2evo36n1LfndoZGmrUppCKZhDJWjjyaeBb9xSRYeXQR0PFQeoOhIlJhA4Er529/tMg127541IkOtlrq1NWry0eHk3ELAQavPwxfw3udcW9u8ZuAUsruxYo4uVyLzltXfKhFNYC0m9zYC9WEKi8B7SupflqWbuetuam72zuBKV4R4lTnaLVTBVpONKKPHwW+e0sWJpCwhbSKIFzLU7WLV2VWvF8rHfveT8E75x9wOT/G1vfsPzjDo1fiUAB4B1x78RbueH8qjLbv36fXuXv+Xq7cfP3rPThR9w3Pmggx07K4Dro+wQNFyJsisR6JvvQN2YqqDs6BgLdfJVJwDV7tl0Bcjy/A62qEpB2MW9C9t67tubjBRT4RYbXUkJ6J6I2WIvv08WO57fp+dyu7ChuEzIut+ZXklWhw59bCEIEk4RJwxhzBDFDGHk6Jurbx5CHTV4zFqJU44JgZbEKUe18L/eXZ193Ssab/nI+7/69f9740Pyivf89vMJtdx43jm4PVZu/D3809c+j9npVV8daixxB0fWfjqMbhkE9kI6AUrEwYAnUXWljmExPS2lcv9CufljTsBjdfIT3Q1AQmd4m0rqVHX+pSgAh+RBm/3QxX1IHqyLWHu7vJsdy2KPQ7Lktm5d0LB776NKQEjL1Z6fBDY9s7QNAqQNwQiyICuiW9DoRgbKx4h0YRknynoLoT6ACv4SSJgAFyR1w6vOHyHCGBhbsRS/ceHxk6dtLr2P0cpXv/mdi3Hl+3914AZ+xQAHgP/6+ncAAKL29FcIdZ14buATO/dfPyyIh6FAouFLBI6E50g4LOPcprCNkEAnlogSVS+6mVBE+tdziYRHCMBUN93UivcytoaDphsyC10EvgFx0brbx1vUz3QwFUWia8FrqyKSWNyEZK8p1gnPLSzTBWaWqZM9UTgFFjVhTKhKZDqeBAQQlGl50EMYOehETFW1Mj4JnVyeJIq+cKFOoO+FOPWEPpx61nkTf/jaM68Io+QroyONXzXUABwBgJvhlfoxPTv7j8S/mJQGqh9ft/S24XhhBtWAwdeeLkYBhxE4ulsg1WjwIonpFrCvKdCJEoAREIeBMYqSjlpkunTbYiqhzbGLKW9mW0/3p30FsBdkBR5+qH16coA1gO8JaFtZyeSirKtJvs4JpOiiN7nvr/0HJiSWUaF7LalKCL7LwZhEuxOg2SphbsFFO1TxQZSqYCmXUdWniUqwWCKMKMKORH/fKrz7v5w7UR7c+kEg+UdCjwy4gSMIcADobzQwPdv54u++5pxkWV/wmX/7zq39zdlJmF+YQCknLiPwXBXH4jhUVTpaGeIV9QPodFq4/odl7NpXReKX0HEcXacQcAiBpDJ31c/xaSCniNj6d1eysuzhGDKUBBZNQaHkROGeGTn2IVOMdgE+vfosAnpAQoAgDZY1dcCROZ9yPe6tz6Amtnae6UpkvhuhUupg936Ob95exuyCh7rrwqceGCNwHQnPVVfYxBFwHBU/L4QEpQ6GhkZRHT1r2q+f8gHBnS8z97mNLTnccUQBDgD9jQBxFF398vO3TO3f9/Q6300+dev2n7itjgBjFJ5DEHgUvk8ReBSlgKG/RnD0qhib1ws0ai2cuG4e//2LHE9NAwkpIyQMPjU/rPVmFqjNf9sS98rjLL5WvY5kVwD7eGYbMfyd5LebYasiZJEYlEVoCQqUy0ifuaL3gO7ukOnYaR/hHF9TLya6fqTrxCgFHTw9E+HPr+7DdbeOolIqYctKhg3LOfpqDsoBRcmXCHyJQAIgqtva7ALFug1b4kqDXD44dspO0PK3mHvE4XXkAQ4ArueJRx555IZ3/N4rvR/+bEdruk2/sP32nxGGkLouReBTlAOGUomhViLorwk4jGBmvorAj3HpudNoJ1P406tcTEYeYsZUG2l9/MxCd3c0NgUsbbRabMRabJKegM/yPwuvIz0svh6LWm8UlZOMlqRANQC2ZUBDsVOnjlmAIosGtC24dWJUeTsJSlU9m2Ynwce+UsXXvj8M5lcxXIYC8HwCQgi45tpSqnPnMGB4kIhjjjtelhrr3lnpO+6fnt63N1qz5qgjDSsALxCAA8D69etx048eiKq14auHlrZvPumE1uvmpvf/z5mpffA9F+WAoVIiqJQkAl85wMLIwXwrQK0S4MS1bVRZhEnOcxq4GXlQFyu42n18egOzyNkzhkIKljtvvdOdrUWgyWyy9srx5a4QWQPconW3jqlCW2WKdiKIjgBUVYuJLoKf1SLMPoBZbDKWoBVy/OzRMmJRRn9AUHI4JIBOJLDQ1r3gCVPrHMoxMjKCgeGB/7Fu7ejXvXLtCZ48FJWWnHSk4ZSOFwzAAeBlp20EgPY/fPnaHavXrv+EbNe8mZm+D00f2MtKQYJaWaLky7SluNJnGaLIRcnvoDEYA/NCx2ooXpoDJPLgVCWNkRbPIpY1J4sCPc+wU6AXKU7xGEUannPeZPeLDhpS3MemLkD6PVVIqwVuk+AtdJirWY+kJd1IfiZpPj41TdEMPTCXwdPV9SBVp8BOKAAZQ0oO3y9jaHQ1bwwOfvSEjaOfuP/Raf6SUzYeaQh1jRcUwM14y5suxTVf+xf+ht/7nQ8fODDp3H3XHX+878l7/Io3hXaILGxT669hTLF6hcC5J0V4eLdEjMzlkeuJaSUZM5MYnNYKJ6kUuaj4YVvzompiWe/MnZ+9wAZ5Li6ksEZIAZ5KfupOsRCnzdvtq4EQOidSmHdX9U0IRXbOqO3tJSmPFwK45W4P40+4oCWTxC3TROl2xLHQYWj0NfDSk04Kzzz9jL9s9A98+LZbbsBZ51xypGHTc7wgAQ4Ab3j9b6HZbEJK+aHTzzibzk2NbZ0Yv5be+7C7tTnXdAIPaU8Zz5V4bJxh248ChJLC1VGHdsXZNDud5oGeA3fBAptpcjDA5wCdu5/PBIINeBSi/fR93Wg472rvpeMXhm3FASiObBJ/perzTrj6ninIha4Qm0YKqi9wwakRvnhjgkee1B+PqOybwJUYGBxIxg94d7zmNa8SmzetvUMI8aGF+XlUqtUjDZdFxwsW4ABQq6Vxwh+87ps3gNKza6W+1lVgT76esKeoEC0QqhwUUSww33QB6sAnBB4TKnPbKsFgEiaYLv3AbEtuWeeeiM6ZTbMvKdAZu6MD8lzcHEZm0Xqm61lKY2RqsPMueesj9PLEAnqyQ1rZ8eYSQEEgwAlABQEVBExSCKFSxrgu8ZBwBiEc1GohAieG4BKJJEgSjkq5jM3HrRCbj1t7bV+j+tYw2tesN0480vA4pPGCBrg9XnvJq7Fr13jTcYN3NWf2Pjqz/+7j6sFTl/j0Ljisjbk2RUJ9UOYiYBIeVfHjjGVtBVXCqwY3U04kY+XtCMAcsFKlQiOnyK81NTFXAVNXxY461IfJV5/Sf6SeGBRK2hOAyveQ3Za8a6FLCp9RZpcLQbJePGAUhAgkGuCcE3Cqkxe4jhLUFahoEqJRjpHEHUw3HZx1wloct6bxzXPPPfm+1auXfbbV6jSXL191pOFwyONFA3AAWL16FQAcmJ8d/9OVq167Kmn9FAhLl4joVnzt+x1MzAeoBxQVV8AzGUAElrU2mUGAQwkYVTKXKs4DQCqHBZdIvYKpZS4EOBV5eNaHxwZ59tlNXmOu24I+HjHytCWo202f9Kb0f9Z2XFoWX0dSCqPUqIWmTOucqlnDCQWnEomgYEL9pwkDpS7aoUDVb+OVp83hnl0r8ZoLtuCi04/+5su3Hv3eien58YGB0SMNgcMeLyqAm1FtrIJM9oyjdPwHkrZzNY+OfU9pYOfZS4eehGwvoOLQNFArs9bKetv/HUdZccpIyn1jDnAh0zgWSAMoovXkzJKDZM2l0qpU1uLVBrgwnar1JBIiIx+moVSaaCp0QzIrBDaNiySm4lbWA1RIAsGV0pFwBXJC1PfO0vVUN7yECFBKQalUVpxSxMSBCAniWIA5S3HpxetRW3nOrfVa7bNnnLju51OdePzo9SuP9M/+rMaLEuAAQJwxAHg0SuSjXgX3HbV229JPvXTL3//snoeOuu2Oe9lCWzkmshJsGtSUaOpCVBkLl8BlFJQRCC4hI4EwEogTqZ0ZSJtNpIFLyNzzxFhsuywbyxayxsKqyDx9n0twkfEOSgjSvrkaxYKo3jdpdRjNT+zSbaaUm2r0qqhGOyRpoyjXgZINLQpGdDk5h5kcSwCJRCRLGFqylQfDGx6tBtNvu+yYs/cC2JFP3njxjRctwM3wHAIAO/bvn9yRcP7yobq/7BXnn3Tt/7nulvquXU9WWq15UELhMNXBy1ASxggch8B3GXyPwXMVTZmejbF/OkEYK2C4jKg2QiJtIgabi9utBlVwmClypP6nACcAF4CQEjEX4IkKhiKUKGtsEK7BKLSGLai9JjAVpKCCnVwJ1xGqUlTEMDlDMT2n3tNzCQJPVwXTk01dDVRvetdRnk3HraDRP7YwtPzCuSThlwb1VU8JwsZf7MA240UPcDNGRgYhpRhfumT4iemZ5qY3JDhNSv6/7/3FjuT+B3YMdBama+VAdfASXIK6DA6j8FyKckBRLUvUKxInrJ/DV78P7J8MUAskSp5MrwROgX+nfS81nzfAdhjgOjLl/IRKcE5UUkYi0O5wcC61BEcgGIHDhOLJ0LSDaCuu9WqYMHeq6InjSPguR8lPUC1H2Lknwm0/L6NRClArM1TKDIRQ9VkEAAhwDrRDBsehqNYGmqNj66YGRzY4lJHLqo21P3K8+qyUEPSQKim9OMavLKPnVzEIoSCEiMmZ+en1a8e+O9jf2PDxv/7auj9+53/+6CsuOO3+DeuW3cOdesf1S+rSDQnHUaUsBuoCK0Y6OO24KZCghX3zBAuh6hmTcJnSi6wgUaaaMEpANS1RfF/FsgeeRDkQqFc4RgdiDDQiTM9HmJjmmG8JtEOJMJZIEomES3CuuLnQFEYIQPC8qkOgAO46Ar7HUS7FGKgvIBQzuP1hgT2THDPNGAvtBFEkkCTquNWqj7Elbod6w/eMrjjl/k0n/85Hdz/41XWu39hQqi7/bhLPTxNCfq3ADfwaWXB7rF8zBijRorXjkV1wHOdTzGGf8gaOYqedWf7CoB9u2P/07jMn9u9nrqtKWdTLbQzU2wj8DuLEwXyiSjzHXMLjeXATi54wm5LQzIJ7joTvCZR8gXKQYLi/g6Dcwq7tJUxPBljSUBF5JalEQkIBKhSn5kQAnKrSzMJKaIBeLKZWXMBzOHwvhuckaMXAvlkJigilgIE5Dmq1EoZHRvi6tWPbVy2Ldxw103n7nn2MO04JJ134eVkfWNU60r/X8zl+LQFujw3rVwOZAUxmZ2ffGvh+//6JAx/79ne2eTNTe/jyZd5LR/rDk0b6duDBXQvYubsGqrlyzAFuVW+ywe0woji6LoirWnprjqwBXg4S1CsRhvvm0eGzmO1Q7JsroeSaRaxaMDrCLBYBcBXqS7TioZ7LuisQojk446CEg3Ng5XAby0anMNdZjZOXj2Gon93d3yd/unbdCnbilvOian3gT5I4nD5q2ZFLPjgS49ce4MXRaDQAYBrAHwLArh0/AEDOpggvGulbcunjzROOPnVzCffePw6ICPNhB1LE8BkBfBeUOFAF7VXyhedqtQK2pCfAmITnCJT8BJVyhEq5A2+2A/AYcyEwFxK4joDrEviuVIs/FdALLgAuuF4QEr0gVLM0SSTiKAattFXWjROgk5Sx8dgTcfmbG7hvfNnDL11TubZWdr8nJG59+SvPO9Kn/IiO/3AAL47VG84DgFtlsu9W4CW3bdkSr3PrTfEXn7tWDI+sXDM6OnjFU7t3Y82oi9b8BMafnEQ5YSj5nlIqfNVjPeEE002AcpWkQYmiKYGfoBKEKFdboKUQJAwx304wG7mouBJlT00MRpXyAUIw20zAhUDJpxBCgEig4kswJEjkAAZHVmN0aBYjS5aiszD1ifn56cfdxm/Si88bpOclwU4A312zbOBIn9oXxPgPD3AziDMKAN81j+9/fD/KJb9vx2N77/hpwLBqmMVLhjf+0YHZ5EKPEVRLwJPjP0cSN1GrhHhgV4TJ6QADVYI2TVAJEjDWge+2UAlm8fNH2/j2Tzy87JQZzAmK8f1DCCTgUolKoEqIVislLB8FpuZaePBxDyAeKtUazjpjCwb7KAKPY2qO3hi48Wf6hubcgdFj4VaW3woezhBnxZE+hS/I8f8BvsjYtGYEAGYAXA8AkxN7AYKHZuf5KCUQLk0wN7UT8802XDfCbItjYjqKLzj79Ct5Mv+qih/GYyMdDNTbAGnjjp0O5sIKfv/VTZx6Csc1Nw/AkR6GqgJL+oDB/pI7NND4N7Hwoyv9QLiPPMFAmYNSuYKjjz4W9aoD1xF0qEP3geDxpUsOv+vvf8Tx66UJHeFx150/BiFkdHpqX8NzOnJsuIO+WgetMMaXvltG1Kngrb/VRBi3cPV3Guh0PAxWJEb6JPobZTI2tnQWUu479dRTj/RX+bUZ/w+2AxGSGL0AfgAAACV0RVh0ZGF0ZTpjcmVhdGUAMjAyMC0xMS0wN1QxNzowNzozNCswMDowMDuA+j4AAAAldEVYdGRhdGU6bW9kaWZ5ADIwMjAtMTEtMDdUMTc6MDc6MzQrMDA6MDBK3UKCAAAAOXRFWHRTb2Z0d2FyZQBtYXRwbG90bGliIHZlcnNpb24gMi4yLjUsIGh0dHA6Ly9tYXRwbG90bGliLm9yZy9IzyijAAAAAElFTkSuQmCC', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 220448000
{'hecke_orbit_code': 49539870812537237, 'n': 1, 'trace_an': 4}
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id: 220448001
{'hecke_orbit_code': 49539870812537237, 'n': 2, 'trace_an': 2}
-
id: 220448002
{'hecke_orbit_code': 49539870812537237, 'n': 3, 'trace_an': 0}
-
id: 220448003
{'hecke_orbit_code': 49539870812537237, 'n': 4, 'trace_an': -4}
-
id: 220448004
{'hecke_orbit_code': 49539870812537237, 'n': 5, 'trace_an': -2}
-
id: 220448005
{'hecke_orbit_code': 49539870812537237, 'n': 6, 'trace_an': 0}
-
id: 220448006
{'hecke_orbit_code': 49539870812537237, 'n': 7, 'trace_an': 6}
-
id: 220448007
{'hecke_orbit_code': 49539870812537237, 'n': 8, 'trace_an': -24}
-
id: 220448008
{'hecke_orbit_code': 49539870812537237, 'n': 9, 'trace_an': 0}
-
id: 220448009
{'hecke_orbit_code': 49539870812537237, 'n': 10, 'trace_an': -4}
-
id: 220448010
{'hecke_orbit_code': 49539870812537237, 'n': 11, 'trace_an': 8}
-
id: 220448011
{'hecke_orbit_code': 49539870812537237, 'n': 12, 'trace_an': 0}
-
id: 220448012
{'hecke_orbit_code': 49539870812537237, 'n': 13, 'trace_an': 4}
-
id: 220448013
{'hecke_orbit_code': 49539870812537237, 'n': 14, 'trace_an': 0}
-
id: 220448014
{'hecke_orbit_code': 49539870812537237, 'n': 15, 'trace_an': 0}
-
id: 220448015
{'hecke_orbit_code': 49539870812537237, 'n': 16, 'trace_an': -16}
-
id: 220448016
{'hecke_orbit_code': 49539870812537237, 'n': 17, 'trace_an': -4}
-
id: 220448017
{'hecke_orbit_code': 49539870812537237, 'n': 18, 'trace_an': 0}
-
id: 220448018
{'hecke_orbit_code': 49539870812537237, 'n': 19, 'trace_an': 4}
-
id: 220448019
{'hecke_orbit_code': 49539870812537237, 'n': 20, 'trace_an': -4}
-
id: 220448020
{'hecke_orbit_code': 49539870812537237, 'n': 21, 'trace_an': 0}
-
id: 220448021
{'hecke_orbit_code': 49539870812537237, 'n': 22, 'trace_an': -2}
-
id: 220448022
{'hecke_orbit_code': 49539870812537237, 'n': 23, 'trace_an': 0}
-
id: 220448023
{'hecke_orbit_code': 49539870812537237, 'n': 24, 'trace_an': 0}
-
id: 220448024
{'hecke_orbit_code': 49539870812537237, 'n': 25, 'trace_an': -2}
-
id: 220448025
{'hecke_orbit_code': 49539870812537237, 'n': 26, 'trace_an': 32}
-
id: 220448026
{'hecke_orbit_code': 49539870812537237, 'n': 27, 'trace_an': 0}
-
id: 220448027
{'hecke_orbit_code': 49539870812537237, 'n': 28, 'trace_an': 0}
-
id: 220448028
{'hecke_orbit_code': 49539870812537237, 'n': 29, 'trace_an': 4}
-
id: 220448029
{'hecke_orbit_code': 49539870812537237, 'n': 30, 'trace_an': 0}
-
id: 220448030
{'hecke_orbit_code': 49539870812537237, 'n': 31, 'trace_an': 6}
-
id: 220448031
{'hecke_orbit_code': 49539870812537237, 'n': 32, 'trace_an': 16}
-
id: 220448032
{'hecke_orbit_code': 49539870812537237, 'n': 33, 'trace_an': 0}
-
id: 220448033
{'hecke_orbit_code': 49539870812537237, 'n': 34, 'trace_an': 4}
-
id: 220448034
{'hecke_orbit_code': 49539870812537237, 'n': 35, 'trace_an': -12}
-
id: 220448035
{'hecke_orbit_code': 49539870812537237, 'n': 36, 'trace_an': 0}
-
id: 220448036
{'hecke_orbit_code': 49539870812537237, 'n': 37, 'trace_an': -4}
-
id: 220448037
{'hecke_orbit_code': 49539870812537237, 'n': 38, 'trace_an': -10}
-
id: 220448038
{'hecke_orbit_code': 49539870812537237, 'n': 39, 'trace_an': 0}
-
id: 220448039
{'hecke_orbit_code': 49539870812537237, 'n': 40, 'trace_an': 12}
-
id: 220448040
{'hecke_orbit_code': 49539870812537237, 'n': 41, 'trace_an': 4}
-
id: 220448041
{'hecke_orbit_code': 49539870812537237, 'n': 42, 'trace_an': 0}
-
id: 220448042
{'hecke_orbit_code': 49539870812537237, 'n': 43, 'trace_an': 10}
-
id: 220448043
{'hecke_orbit_code': 49539870812537237, 'n': 44, 'trace_an': -8}
-
id: 220448044
{'hecke_orbit_code': 49539870812537237, 'n': 45, 'trace_an': 0}
-
id: 220448045
{'hecke_orbit_code': 49539870812537237, 'n': 46, 'trace_an': -24}
-
id: 220448046
{'hecke_orbit_code': 49539870812537237, 'n': 47, 'trace_an': 14}
-
id: 220448047
{'hecke_orbit_code': 49539870812537237, 'n': 48, 'trace_an': 0}
-
id: 220448048
{'hecke_orbit_code': 49539870812537237, 'n': 49, 'trace_an': -10}
-
id: 220448049
{'hecke_orbit_code': 49539870812537237, 'n': 50, 'trace_an': 2}
-
id: 220448050
{'hecke_orbit_code': 49539870812537237, 'n': 51, 'trace_an': 0}
-
id: 220448051
{'hecke_orbit_code': 49539870812537237, 'n': 52, 'trace_an': 32}
-
id: 220448052
{'hecke_orbit_code': 49539870812537237, 'n': 53, 'trace_an': 20}
-
id: 220448053
{'hecke_orbit_code': 49539870812537237, 'n': 54, 'trace_an': 0}
-
id: 220448054
{'hecke_orbit_code': 49539870812537237, 'n': 55, 'trace_an': -16}
-
id: 220448055
{'hecke_orbit_code': 49539870812537237, 'n': 56, 'trace_an': -24}
-
id: 220448056
{'hecke_orbit_code': 49539870812537237, 'n': 57, 'trace_an': 0}
-
id: 220448057
{'hecke_orbit_code': 49539870812537237, 'n': 58, 'trace_an': -22}
-
id: 220448058
{'hecke_orbit_code': 49539870812537237, 'n': 59, 'trace_an': 20}
-
id: 220448059
{'hecke_orbit_code': 49539870812537237, 'n': 60, 'trace_an': 0}
-
id: 220448060
{'hecke_orbit_code': 49539870812537237, 'n': 61, 'trace_an': -8}
-
id: 220448061
{'hecke_orbit_code': 49539870812537237, 'n': 62, 'trace_an': 12}
-
id: 220448062
{'hecke_orbit_code': 49539870812537237, 'n': 63, 'trace_an': 0}
-
id: 220448063
{'hecke_orbit_code': 49539870812537237, 'n': 64, 'trace_an': 64}
-
id: 220448064
{'hecke_orbit_code': 49539870812537237, 'n': 65, 'trace_an': 4}
-
id: 220448065
{'hecke_orbit_code': 49539870812537237, 'n': 66, 'trace_an': 0}
-
id: 220448066
{'hecke_orbit_code': 49539870812537237, 'n': 67, 'trace_an': 0}
-
id: 220448067
{'hecke_orbit_code': 49539870812537237, 'n': 68, 'trace_an': -8}
-
id: 220448068
{'hecke_orbit_code': 49539870812537237, 'n': 69, 'trace_an': 0}
-
id: 220448069
{'hecke_orbit_code': 49539870812537237, 'n': 70, 'trace_an': 0}
-
id: 220448070
{'hecke_orbit_code': 49539870812537237, 'n': 71, 'trace_an': -8}
-
id: 220448071
{'hecke_orbit_code': 49539870812537237, 'n': 72, 'trace_an': 0}
-
id: 220448072
{'hecke_orbit_code': 49539870812537237, 'n': 73, 'trace_an': 4}
-
id: 220448073
{'hecke_orbit_code': 49539870812537237, 'n': 74, 'trace_an': 4}
-
id: 220448074
{'hecke_orbit_code': 49539870812537237, 'n': 75, 'trace_an': 0}
-
id: 220448075
{'hecke_orbit_code': 49539870812537237, 'n': 76, 'trace_an': 20}
-
id: 220448076
{'hecke_orbit_code': 49539870812537237, 'n': 77, 'trace_an': -30}
-
id: 220448077
{'hecke_orbit_code': 49539870812537237, 'n': 78, 'trace_an': 0}
-
id: 220448078
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