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mf_newforms • Show schema
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': False, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [112, 3, [15, 85, 17], [3, 3, 1]], 'cm_discs': [], 'conrey_index': 65, 'dim': 2, 'field_disc': -3, 'field_disc_factorization': [[-1, 1], [3, 1]], 'field_poly': [1, -1, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 6, 'has_non_self_twist': 1, 'hecke_cutters': [[3, [9, -3, 1]]], 'hecke_orbit': 3, 'hecke_orbit_code': 9007749044109424, 'hecke_ring_generator_nbound': 5, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 7, 3, 1, 3, 0]], 'is_cm': False, 'is_largest': False, 'is_maximal': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '112.2.i.c', 'level': 112, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'minimal_twist': '56.2.i.a', 'nf_label': '2.0.3.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(3-3\\zeta_{6})q^{3}+\\zeta_{6}q^{5}+(-3+2\\zeta_{6})q^{7}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '112.2.i', 'trace_display': [0, 3, 1, -4], 'trace_hash': 1891128517520674103, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.022', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.899', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '10.830', 'prec': 20}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '94.669', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [2, 0, 3, 0, 1, 0, -4, 0, -6, 0, -1, 0, 4, 0, 6, 0, -3, 0, 5, 0, 3, 0, -3, 0, 4, 0, -18, 0, -12, 0, -1, 0, 3, 0, -5, 0, 5, 0, 6, 0, -20, 0, 8, 0, 6, 0, 1, 0, 2, 0, 9, 0, 9, 0, -2, 0, 30, 0, 3, 0, -3, 0, 30, 0, 2, 0, 11, 0, -18, 0, -32, 0, -7, 0, -12, 0, -1, 0, -11, 0, -9, 0, 8, 0, -6, 0, -18, 0, 9, 0, -8, 0, 3, 0, -5, 0, 12, 0, 12, 0, 13, 0, 5, 0, -12, 0, -3, 0, -11, 0, 30, 0, -20, 0, 3, 0, -12, 0, -3, 0, 10, 0, -30, 0, 18, 0, 16, 0, 12, 0, 17, 0, -25, 0, -9, 0, -3, 0, -8, 0, 6, 0, -2, 0, -6, 0, -33, 0, -15, 0, 15, 0, 36, 0, -2, 0, -15, 0, -27, 0, 15, 0, 9, 0, -3, 0, 40, 0, -18, 0, 30, 0, 21, 0, 4, 0, -9, 0, -1, 0, 44, 0, -18, 0, -5, 0, -3, 0, 36, 0, 17, 0, 5, 0, 12, 0, 36, 0, -9, 0, -33, 0, 24, 0, -10, 0, -18, 0, -10, 0, -24, 0, -48, 0, 4, 0, -1, 0, 21, 0, -6, 0, -48, 0, -48, 0, 7, 0, -7, 0, -15, 0, 13, 0, -1, 0, -66, 0, 8, 0, 17, 0, 0, 0, 13, 0, 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mf_hecke_nf • Show schema
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{'an': [[1, 0], [0, 0], [3, -3], [0, 0], [0, 1], [0, 0], [-3, 2], [0, 0], [0, -6], [0, 0], [-1, 1], [0, 0], [2, 0], [0, 0], [3, 0], [0, 0], [-3, 3], [0, 0], [0, 5], [0, 0], [-3, 9], [0, 0], [0, -3], [0, 0], [4, -4], [0, 0], [-9, 0], [0, 0], [-6, 0], [0, 0], [-1, 1], [0, 0], [0, 3], [0, 0], [-2, -1], [0, 0], [0, 5], [0, 0], [6, -6], [0, 0], [-10, 0], [0, 0], [4, 0], [0, 0], [6, -6], [0, 0], [0, 1], [0, 0], [5, -8], [0, 0], [0, 9], [0, 0], [9, -9], [0, 0], [-1, 0], [0, 0], [15, 0], [0, 0], [3, -3], [0, 0], [0, -3], [0, 0], [12, 6], [0, 0], [0, 2], [0, 0], [11, -11], [0, 0], [-9, 0], [0, 0], [-16, 0], [0, 0], [-7, 7], [0, 0], [0, -12], [0, 0], [1, -3], [0, 0], [0, -11], [0, 0], [-9, 9], [0, 0], [4, 0], [0, 0], [-3, 0], [0, 0], [-18, 18], [0, 0], [0, 9], [0, 0], [-6, 4], [0, 0], [0, 3], [0, 0], [-5, 5], [0, 0], [6, 0], [0, 0], [6, 0], [0, 0]], 'ap': [[0, 0], [3, -3], [0, 1], [-3, 2], [-1, 1], [2, 0], [-3, 3], [0, 5], [0, -3], [-6, 0], [-1, 1], [0, 5], [-10, 0], [4, 0], [0, 1], [9, -9], [3, -3], [0, -3], [11, -11], [-16, 0], [-7, 7], [0, -11], [4, 0], [0, 9], [6, 0], [13, -13], [0, 5], [0, -3], [-11, 11], [-10, 0], [8, 0], [0, 17], [-3, 3], [-4, 0], [0, -15], [15, -15], [-15, 15], [0, 9], [20, 0], [0, 21], [-1, 1], [22, 0], [0, 17], [5, -5], [18, 0], [-9, 9], [-12, 0], [-24, 0], [7, -7], [0, -7], [0, 13], [4, 0], [17, -17], [-24, 0], [0, 13], [3, -3], [17, -17], [0, -3], [-7, 7], [-18, 0], [-17, 17], [6, 0], [-4, 0], [11, -11], [0, -31], [0, -27], [0, -7], [14, 0], [3, -3], [-6, 0], [5, -5], [0, -15], [19, -19], [0, -19], [16, 0], [0, 9], [-19, 19], [0, 17], [0, -3], [-19, 19], [-20, 0], [10, 0], [-41, 41], [-26, 0], [0, -15], [0, -27], [-2, 0], [0, 17], [-6, 0], [16, 0], [0, 25], [-21, 21], [-13, 13], [0, 0], [0, -7], [-16, 0], [0, -7], [-15, 15], [0, 13], [0, 25], [0, 0], [-11, 11], [11, -11], [0, 1], [-17, 17], [-31, 31], [-12, 0], [0, -43], [-21, 21], [-34, 0], [0, -7], [21, -21], [22, 0], [-5, 5], [0, 0], [-15, 15], [44, 0], [43, -43], [0, 5], [36, 0], [1, -1], [-2, 0], [0, 9], [39, -39], [0, -47], [-18, 0], [0, -27], [0, 29], [-16, 0], [0, -11], [-41, 41], [-32, 0], [0, -47], [34, 0], [0, -27], [14, 0], [-35, 35], [-13, 13], [42, 0], [25, -25], [20, 0], [0, 25], [-21, 21], [4, 0], [37, -37], [24, 0], [-22, 0], [57, -57], [0, 5], [0, 37], [0, -39], [18, 0], [-28, 0], [0, -55], [-13, 13], [48, 0], [0, 17], [0, 41], [-38, 0], [-39, 39], [0, 49], [30, 0], [-32, 0], [0, 57], [37, -37], [-33, 33], [59, -59], [-31, 31]], 'char_orbit_index': 9, 'field_poly': [1, -1, 1], 'hecke_orbit_code': 9007749044109424, 'hecke_ring_character_values': [[15, [1, 0]], [85, [1, 0]], [17, [0, -1]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_power_basis': True, 'hecke_ring_rank': 2, 'label': '112.2.i.c', 'level': 112, 'maxp': 997, 'weight': 2}
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mf_newspaces • Show schema
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{'Nk2': 448, 'analytic_conductor': 0.8943245026383403, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 3, 'char_parity': 1, 'char_values': [112, 3, [15, 85, 17], [3, 3, 1]], 'conrey_index': 65, 'cusp_dim': 20, 'dim': 6, 'eis_dim': 24, 'eis_new_dim': 4, 'hecke_cutter_primes': [3], 'hecke_orbit_code': 549789368432, 'hecke_orbit_dims': [2, 2, 2], 'label': '112.2.i', 'level': 112, 'level_is_powerful': False, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_prime_square': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 7], 'level_radical': 14, 'mf_dim': 44, 'mf_new_dim': 10, 'num_forms': 3, 'prim_orbit_index': 3, 'relative_dim': 3, 'sturm_bound': 32, 'trace_bound': 3, 'trace_display': [0, 3, -1, 4], 'traces': [6, 0, 3, 0, -1, 0, 4, 0, -2, 0, -1, 0, -4, 0, -2, 0, -1, 0, 5, 0, -3, 0, -7, 0, 4, 0, -18, 0, -20, 0, -13, 0, 9, 0, -21, 0, 3, 0, 14, 0, -12, 0, 24, 0, 10, 0, -3, 0, 6, 0, 17, 0, 7, 0, 22, 0, 26, 0, 27, 0, 3, 0, 38, 0, -10, 0, -5, 0, 2, 0, -32, 0, -13, 0, -4, 0, 17, 0, -23, 0, -11, 0, -40, 0, 22, 0, -26, 0, -13, 0, -24, 0, 5, 0, -9, 0, -12, 0, 12, 0, -5, 0, 1, 0, -28, 0, 21, 0, -5, 0, 38, 0, -44, 0, 19, 0, -20, 0, 25, 0, 14, 0, -22, 0, 30, 0, -16, 0, 12, 0, 25, 0, -31, 0, -29, 0, 7, 0, -24, 0, -22, 0, -26, 0, 14, 0, -57, 0, -1, 0, 27, 0, 44, 0, 30, 0, 7, 0, -23, 0, 37, 0, 33, 0, 3, 0, 88, 0, 10, 0, 30, 0, 43, 0, 28, 0, -3, 0, 7, 0, 4, 0, -26, 0, 1, 0, -27, 0, 36, 0, -3, 0, -9, 0, 12, 0, 60, 0, -29, 0, -35, 0, 8, 0, -30, 0, -10, 0, 2, 0, -8, 0, -48, 0, -4, 0, -19, 0, 13, 0, -42, 0, -16, 0, -48, 0, 15, 0, -41, 0, -3, 0, 23, 0, -33, 0, -94, 0, -8, 0, 35, 0, 0, 0, -37, 0, 2, 0, 12, 0, -80, 0, -54, 0, -5, 0, 31, 0, -17, 0, 28, 0, -9, 0, 38, 0, 38, 0, 23, 0, 1, 0, 34, 0, -20, 0, 23, 0, -36, 0, 36, 0, -1, 0, 17, 0, 56, 0, 8, 0, 10, 0, 36, 0, -18, 0, -21, 0, 42, 0, 16, 0, -27, 0, 1, 0, 40, 0, 82, 0, -1, 0, -53, 0, -10, 0, -21, 0, 30, 0, -6, 0, -14, 0, -24, 0, 37, 0, -55, 0, 9, 0, 34, 0, 46, 0, -60, 0, -6, 0, -7, 0, -20, 0, -11, 0, 27, 0, 44, 0, 44, 0, 23, 0, -16, 0, -35, 0, 21, 0, 30, 0, 60, 0, -34, 0, 47, 0, 68, 0, 17, 0, -5, 0, 15, 0, -72, 0, -32, 0, 24, 0, -27, 0, 52, 0, -8, 0, -5, 0, -70, 0, 98, 0, -29, 0, 71, 0, -68, 0, -33, 0, 14, 0, -14, 0, -34, 0, -57, 0, -23, 0, 69, 0, 28, 0, -44, 0, -56, 0, 44, 0, 14, 0, -20, 0, 15, 0, -6, 0, -53, 0, -76, 0, -4, 0, 25, 0, 5, 0, -74, 0, -67, 0, -47, 0, -130, 0, -92, 0, -14, 0, -67, 0, -34, 0, 11, 0, -13, 0, -84, 0, 96, 0, 23, 0, 1, 0, -27, 0, 41, 0, -4, 0, 56, 0, -116, 0, 7, 0, 30, 0, 76, 0, 34, 0, -25, 0, 50, 0, 0, 0, 46, 0, 30, 0, 64, 0, -31, 0, 60, 0, 32, 0, 110, 0, -59, 0, -1, 0, -43, 0, -55, 0, 43, 0, 82, 0, 118, 0, -21, 0, 5, 0, 76, 0, 1, 0, 2, 0, 60, 0, 8, 0, 39, 0, -31, 0, 83, 0, 31, 0, 66, 0, -18, 0, 0, 0, -30, 0, -22, 0, -11, 0, 15, 0, 27, 0, -16, 0, -6, 0, -21, 0, -46, 0, -13, 0, 43, 0, -1, 0, 106, 0, -104, 0, 3, 0, -7, 0, -112, 0, -3, 0, 36, 0, -8, 0, -6, 0, 78, 0, 23, 0, 68, 0, 21, 0, -65, 0, 4, 0, -196, 0, -6, 0, 53, 0, -22, 0, -46, 0, 3, 0, -92, 0, 116, 0, -45, 0, 77, 0, -113, 0, 7, 0, -15, 0, -66, 0, 64, 0, -36, 0, 24, 0, -4, 0, 96, 0, -13, 0, 136, 0, -8, 0, 79, 0, -15, 0, 25, 0, -69, 0, -13, 0, 60, 0, -40, 0, -33, 0, -6, 0, -7, 0, -14, 0, -104, 0, 30, 0, -28, 0, -76, 0, -57, 0, -72, 0, -7, 0, 87, 0, -154, 0, -18, 0, 6, 0, -55, 0, -24, 0, 68, 0, 2, 0, 142, 0, -172, 0, -21, 0, 25, 0, 13, 0, 3, 0, -42, 0, 34, 0, -4, 0, 44, 0, -31, 0, 45, 0, -35, 0, 8, 0, -160, 0, -2, 0, -4, 0, -5, 0, -2, 0, 17, 0, -65, 0, 68, 0, 64, 0, -11, 0, -72, 0, 81, 0, -19, 0, -56, 0, -82, 0, 92, 0, 21, 0, -33, 0, 13, 0, 46, 0, -66, 0, 4, 0, 30, 0, -21, 0, -4, 0, -44, 0, -58, 0, 16, 0, 28, 0, -90, 0, -61, 0, -15, 0, -8, 0, -34, 0, 35, 0, 204, 0, 98, 0, 98, 0, 17, 0, 29, 0, -39, 0, 19, 0, 120, 0, 18, 0, 11, 0, 20, 0, 92, 0, 7, 0, 31, 0, 24, 0, 152, 0, 27, 0, 25, 0, 131, 0, -4, 0, -1, 0, 144, 0, -22, 0, -30, 0, 41, 0, -42, 0, 9, 0, -9, 0, -20, 0, 44, 0, 3, 0, 29, 0, -26, 0, 105, 0, -7, 0, 80, 0, 106, 0, 62, 0, -60, 0, -12, 0, -49, 0, 18, 0, 44, 0, -104, 0, -33, 0, -19, 0, -96, 0, -9, 0, -19, 0, -154, 0, -108, 0, 38, 0, 13, 0, -12, 0, 42, 0, 27, 0, -228, 0, -32, 0, -4, 0, -17, 0, -75, 0, 5, 0, 20, 0, -64, 0, 8, 0, 38, 0, 43, 0, 41, 0, 9, 0, -9, 0, -36, 0, -234, 0, -33, 0, 62, 0, -25, 0, 41, 0, 30, 0, -138, 0, 68, 0, -33, 0, -30, 0, -79, 0, 18, 0, -66, 0, 70, 0, -128, 0, -47, 0, 73, 0, -16, 0, -40, 0, 7, 0, 30, 0, 156, 0, -21, 0, -42, 0, -68, 0, -28, 0, 55, 0, -126, 0, -2, 0, -49, 0, -25, 0], 'weight': 2, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 96739
{'conductor': 4, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '56.2.i.a', 'target_level': 56, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '4.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96740
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': True, 'target_label': '56.2.i.a', 'target_level': 56, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 96741
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.2.i.c', 'target_level': 112, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 2}
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id: 96742
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 3, 'target_is_minimal': False, 'target_label': '112.2.i.c', 'target_level': 112, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
-
id: 96743
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '392.2.a.a', 'target_level': 392, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
-
id: 96744
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '392.2.a.f', 'target_level': 392, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '28.g', 'twisting_char_orbit': 7, 'weight': 2}
-
id: 96745
{'conductor': 28, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '392.2.i.f', 'target_level': 392, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '28.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 96746
{'conductor': 28, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '392.2.i.f', 'target_level': 392, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '28.f', 'twisting_char_orbit': 6, 'weight': 2}
-
id: 96747
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.i.a', 'target_level': 448, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '8.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 96748
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '448.2.i.a', 'target_level': 448, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
-
id: 96749
{'conductor': 8, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '448.2.i.f', 'target_level': 448, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '8.d', 'twisting_char_orbit': 4, 'weight': 2}
-
id: 96750
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '448.2.i.f', 'target_level': 448, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
-
id: 96751
{'conductor': 12, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '504.2.s.e', 'target_level': 504, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '12.b', 'twisting_char_orbit': 2, 'weight': 2}
-
id: 96752
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '504.2.s.e', 'target_level': 504, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
-
id: 96753
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.a.a', 'target_level': 784, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 2}
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id: 96754
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 10, 'target_is_minimal': False, 'target_label': '784.2.a.j', 'target_level': 784, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96755
{'conductor': 7, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.i.a', 'target_level': 784, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '7.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96756
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 9, 'target_dim': 2, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '784.2.i.a', 'target_level': 784, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96757
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.s.e', 'target_level': 1008, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 2}
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id: 96758
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 5, 'target_is_minimal': False, 'target_label': '1008.2.s.e', 'target_level': 1008, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 96759
{'conductor': 20, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1400.2.q.g', 'target_level': 1400, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '20.d', 'twisting_char_orbit': 4, 'weight': 2}
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id: 96760
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 17, 'target_dim': 2, 'target_hecke_orbit': 7, 'target_is_minimal': False, 'target_label': '1400.2.q.g', 'target_level': 1400, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 96761
{'conductor': 20, 'degree': 2, 'multiplicity': 2, 'order': 4, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1400.2.bh.f', 'target_level': 1400, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '20.e', 'twisting_char_orbit': 5, 'weight': 2}
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id: 96762
{'conductor': 140, 'degree': 4, 'multiplicity': 2, 'order': 12, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 34, 'target_dim': 4, 'target_hecke_orbit': 6, 'target_is_minimal': False, 'target_label': '1400.2.bh.f', 'target_level': 1400, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '140.w', 'twisting_char_orbit': 23, 'weight': 2}
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id: 96763
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 1, 'target_is_minimal': False, 'target_label': '3136.2.a.a', 'target_level': 3136, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '56.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 96764
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '3136.2.a.b', 'target_level': 3136, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '56.k', 'twisting_char_orbit': 11, 'weight': 2}
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id: 96765
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 28, 'target_is_minimal': False, 'target_label': '3136.2.a.bb', 'target_level': 3136, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '56.m', 'twisting_char_orbit': 13, 'weight': 2}
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id: 96766
{'conductor': 56, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 29, 'target_is_minimal': False, 'target_label': '3136.2.a.bc', 'target_level': 3136, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '56.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 96767
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 11, 'target_is_minimal': False, 'target_label': '3528.2.a.k', 'target_level': 3528, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 96768
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 18, 'target_is_minimal': False, 'target_label': '3528.2.a.r', 'target_level': 3528, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '84.n', 'twisting_char_orbit': 14, 'weight': 2}
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id: 96769
{'conductor': 84, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3528.2.s.o', 'target_level': 3528, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '84.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 96770
{'conductor': 84, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 19, 'target_dim': 2, 'target_hecke_orbit': 15, 'target_is_minimal': False, 'target_label': '3528.2.s.o', 'target_level': 3528, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '84.j', 'twisting_char_orbit': 10, 'weight': 2}
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id: 96771
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 19, 'target_is_minimal': False, 'target_label': '7056.2.a.s', 'target_level': 7056, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 2}
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id: 96772
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '7056.2.a.bi', 'target_level': 7056, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 2}
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id: 96773
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 2, 'target_is_minimal': False, 'target_label': '9800.2.a.b', 'target_level': 9800, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '140.p', 'twisting_char_orbit': 16, 'weight': 2}
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id: 96774
{'conductor': 140, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 9, 'source_dim': 2, 'source_hecke_orbit': 3, 'source_is_minimal': False, 'source_label': '112.2.i.c', 'source_level': 112, 'target_char_orbit': 1, 'target_dim': 1, 'target_hecke_orbit': 42, 'target_is_minimal': False, 'target_label': '9800.2.a.bp', 'target_level': 9800, 'twist_class_label': '56.2.i.a', 'twist_class_level': 56, 'twisting_char_label': '140.s', 'twisting_char_orbit': 19, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 320250
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 2}
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id: 320251
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 3}
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id: 320252
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 5}
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id: 320253
{'charpoly_factorization': [[[7, 4, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 7}
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id: 320254
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 11}
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id: 320255
{'charpoly_factorization': [[[-2, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 13}
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id: 320256
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 17}
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id: 320257
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 19}
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id: 320258
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 23}
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id: 320259
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 29}
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id: 320260
{'charpoly_factorization': [[[1, 1, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 31}
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id: 320261
{'charpoly_factorization': [[[25, -5, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 37}
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id: 320262
{'charpoly_factorization': [[[10, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 41}
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id: 320263
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 43}
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id: 320264
{'charpoly_factorization': [[[1, -1, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 47}
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id: 320265
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 53}
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id: 320266
{'charpoly_factorization': [[[9, -3, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 59}
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id: 320267
{'charpoly_factorization': [[[9, 3, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 61}
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id: 320268
{'charpoly_factorization': [[[121, -11, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 67}
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id: 320269
{'charpoly_factorization': [[[16, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 71}
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id: 320270
{'charpoly_factorization': [[[49, 7, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 73}
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id: 320271
{'charpoly_factorization': [[[121, 11, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 79}
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id: 320272
{'charpoly_factorization': [[[-4, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 83}
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id: 320273
{'charpoly_factorization': [[[81, -9, 1], 1]], 'hecke_orbit_code': 9007749044109424, 'p': 89}
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id: 320274
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 9007749044109424, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 3, 'label': '112.2.i.c', 'level': 112, 'portrait': 'data:image/png;base64,iVBORw0KGgoAAAANSUhEUgAAALgAAAC4CAYAAABQMybHAAAABGdBTUEAALGPC/xhBQAAACBjSFJNAAB6JgAAgIQAAPoAAACA6AAAdTAAAOpgAAA6mAAAF3CculE8AAAABmJLR0QA/wD/AP+gvaeTAAAACXBIWXMAAA9hAAAPYQGoP6dpAAAAB3RJTUUH5AsHEDINJOFxIAAAABBjYU52AAAA1wAAANcAAAAQAAAADnCbpecAAIAASURBVHja7P13vGzXXd+Nv9dau0w9/faqK11dVatZllwkF1wAAzbYBoIDIdSEQMrvl4QQQkJ4IIADDwkkDmCMsQMYg21csNzkpt6uerm999On77bW74+165wj44eH/AQk89Jo5sy5987M3p/9WZ/v51uW4P/c/tpuH/30vUgpNj1z6NSkSYzZOuviuZL9x3vc+bIZcfs1rcV7Hk/YOrs0e8vVZ81Th7ZR8ySbZge0monQcu8qmIuzW+8A2AKsAEMhxEv91f7W3pyX+gP8bbkdOXEB4DKtk00GoQfDkI99/M/Zu/Ucu7csUVMex858PFo2N//8sL/8bY4w0dkLHptmBNFgRG819s6eXXj/6bMCkYx++PREPzx/cYEts3BqFDLRStxRfOIvfvODB37++TOfEP/lP/7Ir148e/zPavFT+/urB5XBByGkku5F4Hi9tfWlPiR/K27/hxpe5PbCkXmMqE255vidg+WnUUJGZ5cn/0VvJN8khSGMYh5//Ela9RWu2Nphpac4fakOOiCOYqbbhoOnPa69LOH8vGR6Iqbd9Dl63iHREXMtwbnFiOv2aA6flsxMaDzPo1ZzOD4vWenDlRtj9u6cZt/VL8Pg4igYhM4XDxwf/UZiEvf1r7mOK3ZvuwcTrAi58aU+ZH8jb/8H4OlteWUB4C2tZnD58RM9/R9/80/1u98ycVk/2Phv+t2jNGseJ05foNtdJIwclgeSxHjUXEPbN1zqxhw+P2LrTI3JukKJiLkJj707FIMRCBlwdt5hFMK5RYHCYxhEXL7DsGm6j0TSbIRs3tDj4MkZllbqNGsJvhMxGGk6fUUYx0xNz9FsbUU5AdfuvYynDi7+ym1XXji+fe8PyFBMyq1zzlEMn5+YnH2pD+nfiNv/9gB/4dl7kULcubwavfnZI4vvvOqy+X1B3+P9Hz/E7detsDDvcmphwLZZRcOHuUnN2WUfJQ1SaLZMJZy6VKPZMOw/GjAIBDUPFlfhsjmHRt1n01zMndd1ef74BPsPCF44FfPKaxO2zmqaTcGOTSssrChqPgwDwxMHZ2nVJccueWyeHiEFeCrhwpJiohkjSdi6MWJhscXQaF53Q5NTy9dQayW8+mWTBy8ubfhoFMsvCME9b3nza1/qQ/yS3v63A3i/16Fe86cvXFz4T7/9oS96R8++kPzot/s3Ly+3b/nwZy+xacNJ3nBDky89NslQr/Kmmx3ue6rGnu1D+kOX88uKIBL4TszV2xM2Tgcs9SRPHZsgigV7t4641FNcv2fI4RMu3ZFDGMCtV/c5dKZBux5y4KzDbVdKwiigO3J46qTkxl0JnZ7L5dtCwkjyzHHBYq/G5inYt6OH50jCCC4su/SCmCu2uHztKcMbbukTDCf57MMDXvvyVW64bDuPHt7K4nCw/7tfv/T4lg3Xq5lt3xI2WjP/NonD5enpiZf6FPz/9fZ3Psg8euwknuuIj/3Ffbzu1lCZ/hffe+S4uvKxJ8+/5uyps+r8QocjJ1fY1Jpg60yTJ47OcueNy9y8b4LPP9risaMDdm02nJ932LLBMDhniIwhiFzOLEg2zgQIYdi7LeCF4w6+N2TPZo+LCy5TbcFtV0c8fUTzzLE2g6jHzk0hL3MnOLcITx2uc+XOmB2zcOySoO5HIBSHzzoYIqQJ2T5naNVBiRBXuXSGsH2D4uR5wS37ekw1mnzxWUF7IuKV17R5/Hm47/FjbN/ev8WE6pYXDpzg3EN/nnit7Vd3k9qh9/3xn/7Ea642ycYdd2J0bOY27nipT9H/0tvfSYB3V84jpZLBqFP7iz/9+eCVb/l3/zJJku//j797PPrp7z18VU1M1PorPi0fRn3JE4cF3//GPtdd3uL8Uo279/t812tWuWHPDF9+0uPy7QM2TbY4eT7m1n0hB894TDYjQPLcyQZbpjVLKw4PPJ/wwBG4fqfh6u2S5Z7gvhckr782YrKpWOm1OHPBYbVrUG7ID3zzCqcutlntCW66csT1ly/gMsXFxTnOLMDVuzTDUHLios9Uw+HAWcmV26HXk1y5c5HdW2p8+TGPk0tD3nGn5tLiFAdOQCdIuPGKAKknOXR8yHPHDqqjCyde25oc3Paff7x5q9Y3uUEw+p9vfsfP/Nozzx3xZ6cnRlEc6107/+45M3+nJEqiNVIIGUerk52lo7dHkXjfkSPH4/sePjzz1AsX28+fiZmaXeJnv3eESbby9OE6Tx2OOHxxyJtf2eHVVzV5+tAk9zwTMjnT5ztfJXn2YIv7nhty1Z6YbdN1MEOEI3Clw9ELDhvaCZ3A0KoFnJpPeP5MQktN8aaX91lZbfHIC4Zrdwuu2JGQxILTCy5Jorlim+CayyIeeV6w3B/wxlsk9eZ5Dp1scfLCFA1f0Bu4zE7EHLvg4TkBSiqMdti+aZlrdirufXKK/ccj3nZnh43NSe59osaTJwbcdsMK3/pyj6On5njqkObpYxED2eNn373IlskNHD0zw/JwY7c+sXvpsssud7SRP3rdtZc/NDfdWgWjhZAv9an8a7v9nWHwi5cWuXBxcddDT53atn2j/uhG9fmJc2eXmyfOaJLQpd2AzROGp09O8sCBEW+/fYXtHYdO36E79Pnol5vMtLpcv9dhFDa5/znDJx4Y8I7XdKjVWjxxxGXLTJ+ZtseZSw7dYcJgMKS50SXSDtNNxZYpyR3XDnnySIwjBb4X4zdi9h9XNFsu22ZDghi2zsCNVy7QGTgE8RSRdnj2pOTpwzvxVQ3fS3AmA4YBTLSH7Aa6fY8z8wkzkwPmJlp84RGPZ0+HvP21fbZNtnng6RrPnBhx9Z4V/t7rEg6fnOLYWcHZ+ZgLnYS3vrbHtTtqHDjRYH5ZcOLcxfbJ8yfavehRNmzb9me/tCvojGTyTu3sPTsYLJ1sNGZe6lP613L7Ww9wYwzAlZ+662tbHMf9nXsfPHjFFx66X/3OPzvHXHuOlYlpukOX3tBhGGh2j+CDX5hm88wSt+91GIxmCSKXYdjgkRdCwmiF6/eC7zV49KDi4/d2uHbXKq+5vsmRM20WVkfUvZi5Kc3erYoLS4rljqTbS2jVA3zPZdtcyImLLo4c8vZXOTx+yOWqnatMTna564kG3aHP7ESTJw57XH1Zj5kJl5Pzgq1zLrVaxFQtwXUkUgr2H5hmojmg7gVcvl3hyTr3P2NoNFZ5x2uh5U7ylcc8Dp4dcv2+ZW7cA2fOb+LAcZeT5yOeP2u45boVfvCNEWfnN3NxqcbCCqx0Y3ojwQvnh5zrP9pcOvHlJrNvvkfWzZEoin/cGHMeOPS3PYv6txbgw94ijuNccfTwsy9bXO7/s+PHj915/yMvcPh0l6Whz+/d1eBffXeHzbM+g5FiOPIIApdhYOifr3PXI01eec0SN16pgCmMcXnq6BR/cKjPO17f5farImYnm+w/MMUXHxmxeXbEvp2CDRMOx867DEYR/QF0+gLHMWydTUBJpAwZDiQXVmqg62yYCLl864AHnvEJiPnOV0ckYYOjZyVzUw5bZwRaxyysOHRHAcPIo9f32D4bMNMeoZTEcQRR5HDsLMxNDbjt+pgtUw6HT01w/0E4v9zjlut7fO9rE86c38STh3wOnYp58nhCJHq89dYRo+EsZy81uLgkWViJWOrEnF2WyNqIf/K2ZVpejdPH96vu6PS+xtQ1X13qPXIPovZfFxdXno7j+MimTXMv9Sn/K93US/0B/iq3zvIpHNffden8gf/71ImD/+Ge+x7adeDgMYIgQknFaKR47pTLtk0dXnV1RBR5RImDNgpjBA6a0xc9Ti5qdm3usmkKGn6NmuugcHjqmOLi6oh2O+Sa3Zort/n0+jXOLgg8JyIyivMrLucXNN1Q4DgOGydjLq1oTl7wmGpJBA4bpiOWe4brdo2QssGFpQZ7t/ocPuVzZtFw9a6AS8uSKHYZhoort0cIYegNJBsnY+amAzZMh7gSOgOF78PebYKVlRZffrzOkfMjpqc7vO7mIbdd6XPs9AaeOuTx/PGY4wshrckOP/SWPtfsnODUhUlOX3Q5v5BwaSni9JLg8ILhO159iR9+S8xgOMX8Spv5JcPhYxd59oWTu5Y70feMgmTnli0bHvrxf/RPVn/zN3/jpT71/49vf6vWn+7KURy3NtdbPffPzp98/Lput/P2o8dOcWmlxuKKYHE1ZGk14dKq4cSKYGa2w8989yKv2NvkxPkZTl9scHZecX4+4fTFiOMLGqfR5x2v6fPWWz1OX5zhwAmfo2c1B05HJHLE9g0hr7xOs3OD5PTFJmcuSZa7mlGskRKmWjA3EbPcdej2FVPtEEc4TLUTan7EIwd8LtukmZuKubBYx1Wac0uaDVOGyzaHPHzAx/MUMy1QKmK2CSt9wVJfsKGtmW5HSAlBqFjuOpy65HB6IWbnphG3Xxezbc6BpMHBEw2OnTW8cCrh1FLAW161wne9JqCupjh5YYqT5x3OzyecX4w4vWA4vGB4+TUL/PS7umycmOL8wiQXF2ssrLosrMDFxYBz80N27NzD1NT0J153xy3PXrZr638dDEYL119z2UsNhW/49reGwZOl38FXJ9vJ4Nn/sXjhiX+0unTy6l53EYOP1opES4wRGKMRGKSBkxdr7D8quGJbh6t3asAFFFI6OEriK8P8osvBs4qRHrJvZ5c9WzVzUw6bpjw84bPU8TlzUXDiguCZk3DyQsjCSkCnlzCKXGqex1zLsHVDhBAJw8Bh16YIVxkiLYgSj6WuZBi4eI5AGM3cpGZ2ImG569MdCkaxy8pAsGlCs9TRnL6kqLkem6Zh21zIxpkRG2YCNs0EbNto2LFJcdV2l7pqcuJ0m4ef83jicMwzpyIS1eNbX93h7a801NUMh09NcuK8w7n5hIspuI8uGm65ZoGfe/cK22cnOD8/yaWVGssdl6WOZKWX0OsnDEPB8dNLnLqwetXTxxZfc+D04q7DZxa/cPsb3xk+8IU/e6kh8Q3d/kYz+PJKB7QBwS/vf+bYK3/2tz4l33TTsVf+1Ledd5Y6c3R6TVa6NZY6Lksdh6WOYLmTsNyJWFpNuLgKx5YEc7Or/MfvX+LlexucuTTN+fkm5xcdLi0ZLi7GnF1ImO/FTE6PeNV1fV6xDzxZx1c+l5ZrXFh0uLgsGAQQx5qap2nWEqYmYjRw6mJMtw87N7o06wHGCBAe/aFmx6aApVUHjJUiq30IYjAYljshWze49IYKoQxCB7RrLjs2j1gdCE6dd0i0w0xb0qoJfBfiWDAIJBeXJReWDJdWYnx/BG7MbVf3eeU1grl2naWVNmcu+ZxfhEuLMZeWY84tw7Elw81XL/IL37/Cpsk2py9Oc3GpzsKKx2JHsryasNyNWOkkrPQ1y33BpYFgfnnIr/3TUfydr5l60N/wg7oxsfdBrc3PuI7Cr7Vfaqi86O1vbJD5W7/7MaanJjh/YeGXPvXZe/7FZ7/8uH/mbJcPr2jedFPC9btWEUKgtSDRkGiB1g7GKKyxAkIkCGE4vjTFf/wjwS/90CVu3B3Sqk/TrLdoN3xaDZfJtuLSkuLiisOXH6rx2Qdirtg+YN9lMcsrQ67aHvC9b9ZEsUJg+IuHa8x3atSTgJMXFP1+i+svT5jvxhw45LJ3u+TIebjtSuj0INQOvhMy24TD5+o06hG+iploCVZ7cOtVPY6d9dm7U3PifMDzx+y/524fceySYaIVsNwN+cyXGxihSJKEO28YcPuNhourLjfuGbFni0sctRkM6xw4XuPiomBhJWF+JebSsub0suBSP+SGvUv8++/rM9ee4tSFSS4t1VlYTZm7k9DpRXT7CZ2hYXUgmB8qFroxN+9b4VX7Vp3hQN9x5pmPMrnxttt3XnGn9mtTP3vkuY9yxbXvfKkhs+7tbySD/+4HPsbL9m1WX3v0+L8/e+7Szx46clItd0KWRw6ne3DV9nn+7x+/xA17GlxammKp02C5Y5fY5a7DSg/LQN2Y5V7MYgfOrAic+ojbr1nmu+8I2b2hyWq/zfxynYVlj8WOYLljJcJKT9MdarqBYTCKmWlH7NioAYHvGs7Ouwjps3ODYvcWw5YNAy6tBDx9pMVNVxga9RWeOzpNqxkShi4zU5rhCK7aMeKPvzrJldtjgsAwOyGJkiGtms/zJ0fU3SY37I155njIpSWPrTM+uzfDjk0hSkWcXQTPNQhh2LkxZqol6Q19+gOX7sBluatYXoWljma5k7DYSbjYgaVRwo6tfb77zkVu3+dQc9tcWGyzuFJjcdVhuStY6WhWexErvYTVvmGpDxd7ikurMS/fd4lf+dEl9mxps7A8wXKnRpQ0mJjZmbTaG39pmFz7C644kVz/8u98qaGz5vY3CuCHDx2mVqvVL1w4u+O+h59918Ej537x6PFzCKUIIugOBZcGinPdmJsuu8Sv//gS119WZ35liqXVBivdGstdl5Wuw0oXOj3Nai9mpRez3DVc6gjO9w2IPm9/dYdvfrnmss01wrDBSqfGat+j01Os9AW9gWAUGMLYkCSgpMF3oe4bJtuGDdMRjjvi2IWQZ4/66LjJm28NcdxVHj8wwa7N8LlHY159rc98Z0jNUcRJxPQUxJGL48YsLTV41Y1dPvdQi92bYf+RAJcGb3q5JhZDnj2WcOJsDUd6bJxymGoK6r7A8wRKQKwhjAyjEHoDw2pf0xtoVgeapb5hmCTs3Dbgm1/R4e2vDEG3WFqdYH65zlJGBh1Y7SV0+jGrKbiXB3Chq1joJty89xK/+uPzXL2jwcLKJCvdBr2BzzCQxLGm0d6GcLf+u8b01X+2Y/vW08FoNLxi796XGkr57W8MwM+dOcLGDXPewUNHf/DgoaPvffiRJ8XFha4cRRBExvrXAXRSkF/oRbz88nl+9UeWuPHyGourkyytNlnp+qz2PFZ6Dqs9Qadn6PQTVnsxnb5mpW+Y7wkudDRTkwO+6eYet+2L2blR0a67dHs1fFcCijCWaC3QBgYjQGimWiOOnDNoE3L3/ibBoM7lWz1uv25ApFe594lJbrjC5cjFPp2VNq+4bsCXH/fZOG04cMrwT97W5cBJn43Tki89obj9KsXyoMvxM9PcsDfk3meHxEGD26722LN9xDDu88XHFSSCY2cd2g0HR8BgKNFGkGhDFANS43iaTt/QbEVs3xzwyqsGfNNNMTPNGpeWJ1harbPStcdmpSvo9KHTi+n0Yzr9hM7AsDyQXOwJFnsxt165wC/9yALX766xsDLJaq9BZ+DRH7gMA8UoVPSHgkFY19t3XWt27trzE7t2X/YHy0tL4TVXX/lSQwr4GwJwrUOZRIO3Hn/h05efX5DveeChJ9xuX9AfagajhGGgGQaGwUjTG0FnKJkfSs53Ym67ap5f/pEFbtrjsdqdYGGlRadfY7Xnsdp36PQUnQH0+obuIKbbT+gPNZ2BYaEvWOhDlARcf8WQTdMJ/YHhLa8I2LVJEycSRxrCCO55usbp+Rqbp2KeO1YD3WDfNsWNV2r82oDHjwxYWGxyza4m7ckVHnrG5ZYraiwNVllZabNpk+HRA4rve12fxw44bNvgstjvsLI8zY1XDXjouYTp+iTXXN5nvtPh0RcmqTtNbr7SsHfHCGSfp08INkxHXFqIuPdpl1GkkBISbdi1OeSbXhHS6yu2TGluvALCsMFyp8Fyx2e179IdKDp9SbcP3UFCt5/QGyR0B5rVgWF5KDnXFXSGAbfvXeAXfniFm6+wF0enV6c78OkNXPpDh8FIMRhJeiNBp5ew0om45rqbos7I+dc//P3ffnSiVf9MzXf1S42tlzzIjMI+UTj8/ktnHvuNhYuHpy+e7zHZdACJEBIpBErESKERQiCEQQiNlAYpHR47vJGfeb/D225f5ntet8zurSEXl9r4Xp2679HwXZp1h15d0hq6TDQdBqOE/jBhY3rh9EY+yws1zp4xhLHm3MUY3zeAwFMGRwoGQ4XAJR44vGyXYM8Ww46tA4Kkx+cfUxw8OsUbb/K58aoVPvR5gyca7No64JmHFFsnFbPtATVVJ4xc5nvQrDls2yh46mDIjXvr3HHDIh+8a4jntnjDrQbXH/CVR0M+90iTF07UuWxLg12bE+amQnbPRly7K0EpjaMMYGj4PnOTPmHk0ht4PHfEpT9yGAwV/ZGkP4T+yNAf2O/eGyb0h4bu0LA6hIWB4tKKoTHR4SffvMB33B5w/WVNLiy26fRr9FJw94YqB3d/JOgPDcORYRQavvS1R12vMfsbX/7ao8tvev2t/6LTHXxwot343xfgYTDAGPHD5048/MunDt893et3EaJGzTdEibF2GwohQMgEIUAKjRQGJQ1KJnhS8syROZ483OTI+Xne9so+r7x6xGSrzXKnQbNboz306A8ceunJHo4cBoHDKDCMQk0YGaLIECf2HsYeRoNUAtcR1DzBZEsw1YJNs5ptGwfMTnX4wuNw35MuUk/wxptcXravxwMvRISjNre/TNAZDplfanLbXs3s5IC64zOKFQvdCKUFL9vr0GgFPHGoxmtunOAV1/d44pACM8FNV3v80Lcu8+WnQr70WJMDp2vsmFNsmq4z1Wow0YK6D65jUNK6qQdOCJJEEMWCMIYgwn7HwK6Co0AzGGkGgaY/hG4AC33JfA8CPeL1Nyzz1ld2+Htv0MRxm4uLTbr9Gr2hR3/o0h8q+kNpwR0IBiPDcJgwCBIbq2jDhQsX+PBHPz9tdPKfv+Nb7nB6vcH7W62XDuQvGcD7vVWSxPzQmRP3//LZo1/eEAZdlHRxlMF3NbEPxkgMAiEUQgqEACUFSmqUMjjK4CpN3RUsDup85Kvb+MqTXV597Srvfv0q1+7uMzPZYGm1QW/oMxi6KbCVvYeCIJJEsSCO7VKfWYxKGhwHah406prpVsTWDQNi+hw5F/Gn99Y4fqbJpF/nlqsdbruuy6OHO9z9cJtbr6ixY/OAP/6qQAmfdititR+gDSgBc+0B3Z6Hjuu89dXzfORzDfZcqvHNtw4IoyXufXaGKKnx8qs38M23dLlie4evPDHgmTMNnj7hsW1aMt0WNHyB59qLUAoQwqANaG2I4vRijQxBZC/kUQjDEHojwUogWO6BcEbccOUq7/6mVV59dcJMu85Kt0GnV6c38OmPUkmSkUMgGIwEg/zCSRgFCUFo0Frgui4rK13+7BNf2qAkv/wtb3qVWVpa+f2Zman/PQBuVv8vnj96K8vnP/sDvV7wnkvnDszqeBnPUcQ6wdOgPRvYYWyIIIVASomUDkolKCXS5VnjKoPvGOqOYGWkWOpM8dF7mjzyXJ/br1/l3W9Y5YY9HWaSOnHsMxjV6A9dhoFDGCmiWBIn0vroRtgsqDD4nqZRi/G9EM8NOLcUcNd+ydGzHifOTqG0z57NHlftVty0r4vyF3j2WIutkw2uuQw2za2w3G1z7VZJrA1feMwnGEgmmzFvevmIz9wbcfpiiysvd7mwOuL54y7bN05x/e4FHnimx0PPC4LQY9/uafZt99m3rcexC8scPQePHWxw5HiThiPwHUnTN9RckNIGVcbYizVOIIwhTAT9QNAdCboRhDpGmxE3X9Hl3d/U5dXXJmye9hmNJljq1Oj1ffojj8HQoT+ykmQYCIYjyTCwfaPDICHIVwZ7EYWxfU+N5Px8h4984isbDp+4+B6v3oz/8MOf/dAnHz7Bn/2Xf/x3F+D/8j/9V5j4FFs3mr9HcOE3u73VyabnoV1JojVxbOUIAIJUmkiUlClzKxwlcJTGUQmuI/AcjecafNfQ8BIma4Je4LLSneLj97X56tMjNk4NeNedHfZtHzEa9rlmt2H7JkUQuSRJkeYXGKTUuE7CqUuGExcFq0PNpx9ocG5xChO6TNUUW2Ycdm5yuGwrXLOni5aLvO8zTZaXJ7h1n8M1ezp85WmBiF02TEmajZhB5CGNBCNRjkdnJLi0LLjaNLjzph4PPlFny6zHrddM8w+/dZE/+FyPxw416Y9cllZb7N5S58rNA16+t8d3vqbH+eVlPv2Az9LA59QFl3PnPFxliUAg0MaQaIi0IYk1UzMR1109IAgi9m0PeMedARsmFNMtnyiqcWGhxmDoMQjsKjfMgW1ZexgIRgF2JUhZ264KJr8HEQSxIEogThQHT3XZf/SR2Q1bZn/zlmtnoj/7L5s/vHLul5na+jN/9wD+k7/4R1zxyu8T3/8v1Tu3Tjz/e+96zTONvVvbrPSajEKPKHIIIwcprcaW0iCEQgpQEqSUKCVwlLQgdwSuk+A5As/V1FxDPTI0QsNELWGqLhiEkl7Y5MTZJr/64WnQMSKOuem6Abs3hcQxaKMxxiZxpBBIJXBcj0OnPQ4crdGsObQ8yWxDMDcj2TDtsGVOsXNzwpU7V0nEEr/1iTanTk9y616XfbsShnGPh5/1may7zEwYJlshjbqVQlpLOiPFct+w1Eno9Ou86ppV9h8YcPC0YrJd4+VXT/Ijb13iv38SnjjapD80rPYcLi232TTbYMPUiJ0zI/7lOwe0Gx2eOQGHzkhc16CUDcLB2P8MxDHs2pRw+7UxSeQSxT7GNBiFLhcXPYaBXdFGocrl2zAUjALBKLSsHYSGUZgQBJog1Iwinb6W3iMIIsEohlEsGMWCbiTo9GPazWcm337b9O+9d3k1Dkb//KOds20zse0n/+4A/L/9zod5+d5p9ecPffDtZ86tfugPP75ae/LgJO/5sS6Xb4vpDeuMRj6j0EUpNw0gS3elUMrgKonrWM3puYrAlQShxg8TgshQjzRBpAlDQzuGINIEMYSxYBRJgsQnSmocPNrk6YOQGIOFttXGrgRP2ZqPlg/XbIZ2HSaakqmWYmbSYcM07NgUsHlulcgs81ufmODY8QluvExx2TbJnm0rfO35mEtLE9y0WzLV1tS8Ib70MUoQJxJhDHESstKvcWnJ5cZ9dV62t8cDT9TYOCVo1FrcuFfzk29f4jc/qXn+XIvVvma1p1hYcZidbDLVrjPVnqDdiJhrRuy8McR3Y1wnRqkEKWwwYbAXVRQp5hccolgRxYowUgRR+hhKgkgShJJRKAlCYQPUUBCEhiC0xzUIE8Iw1fSRfX0Uwiiyf34YCwaRBXY3hCAIeNmOZf7Tjy/xuqsuNJbmWx/qjP5Yn5i/7RNPP/Knycte8d1/+wH+/g9+hFajph49eOkdnfkLHzx18mytOTXLF/b7eL8Pv/AjHa7cFuM5Mc6whptqa0dplHJQ0uAqg+soXMfghhLPFfYkuILAU4SRBXoUGcI4sa5IXLonECeGJNGluhVycIt0lXAkuC74jqDmCxq+pNlQTDQkUxOCDdMxOzcNaDVX+cSDIfc+O83qYpvrdih2bna5YvuIRKzyhccaNF2HuSlFqzHi2WPwwnGHa7cbBoHi+isirttjuHghYWHFYzhq8OZbetz/zJAj5xTNusT32lx7meYXfmCJe54f8pl7ZlnqGnZuSFjpOEy2FRNNl1bDpVk31HyN72l8J8FRVmrJtLXSGGzCSgtiLYkTQRwLolgSxoIokgSRdV7CSBBGhjCEIEoII01YIo4gKt8tuIcRDCNBL5J0YhgECcRDbty+zH/44SXeeJNgubOBS0vztV685Q/r/pF/MIqnPvbQvR9Pbr/ju/52A7zT13JpdfV7zp0799sHD5+oTTUcAiOIafEXDwvCUPFdd3Z45+u6TE9E9AY1lPJxVILjuLhOgus4uJGD7yhGbso2riT0BGEk7MmJFFEMYSStgxAXtl+caJLEuguJSZ2SvCBLIKV1ZxxH4DkC35PUfEmzLmg3DJMtzcbpgLmpHrFZ5aP3S/7gczNsqNW4bodgx2aXXVs0Ozev8ImHDcvLNfZtUky1odWIuHRSMr/i4+22y/jchGRyEo6cMKx0NRcXa1yxq8brbupx1301Zlrgex5KTnLtHsGPfvM8rpznLx6Y4oVzNTZ2IzZMxkw0Fa26olGX1H0H3wPfBcexDpMUIEUJ5NgLO9GQJII4IQU6RIkhjCGKEksKkSbMHiNNGEEQZ65MakHGosTakm6kCUcRbb/Hd79pkXfd0ee1L5OsdNt0B3WCqM7K0sma31S/N7chcZya8ydYnvnbCfAPffhTJIn+gYcePf7rR46fbidGoQS0HE3oSVZMky/slzz8XI2LK4v8k+/sM9WOqPk24+g6Ma7jWa0dJoSugxcpgkgSujaVbhlHWCZKWSmOIUogSdKoXtuAS2uT9XCm4LYAt9pe4DoWIDUfGjVNqx4z2YqZmxwyO7XKgwdD/vDuOodOTLJrwmXPJti2yWPbRrhyR5dB3OXRA23qymVuSjHZgslWwNREjOc5CGEvrmHgsdyNWB0YOv2Y+RWPHZtavGLfPHc/NuDQuTYNP8JVHkJMsGer4u+/YZGbr5znD+9u8ehzkyz1HTa0YyYbMY2apF5T+K7AdyWua2MVpUjtQ4tyg+1h1Zoc6HGi09UttRZjTZxYcMcRhLEp7pF1ZUaxJZVBLOjFgl4Mw2GMjofM1Hv8xHct8f/9ngF1z2el02IwqhFGLloLajUY9Y+3u170W5Nz13rP7P+LP7j+lm/72wfw5eUOSqkf/p0PfPyXjxw/O6O1wBh7wH3H0DYGbQQdWaczUvz6n7kcOLbCW1/T584bemycDej26oyCGM918T2XIHTwI2vvhZ4FeBRJwtguu1GcetoJqfVHytwSbSjAbZOUKXODo2zCxHMNNU9Tr8W0ajFT7YDNs10udQa899MuX9g/zfJKk8vnBDs2CLZu8Ni2QbB7ywjHW+Uj9zocP9Nk70bJVEsy0UyQMuDcgsF3JFKAMYIwcti5octjJHQHipWu4dJynb3banznnR0+9hWPk5d8XCdCCBdtmkSx5KbdK+z83i5feGLAH39hmsdPNtk6JZhtJjRrCTVP4LsCz7WxiqMyi1XkNRkGe5Fpg3VaEgv4DORxYiWdBTuEia11CbPkUSwYxtCLJf0YhqEmHoRsm+1yx40rfPtrBrz5Zo0jGiyvNhiFPqPQI4wUWlu/3nNh0D07MzWz4z37XvadKhh23u/X/9dM3PpfAvCFpVUc1/mHf/6Ze3/5gUef36C1sWl2A44yeEbQMDbKl0LQw6cbOnzkaz73PNPjxn1dvvf1tgpuZtJnOPIZBh6+6xLGLmHk5IFSHCuiRBLHkigRxLEkSQSJFoXW1oJclRjSjCgoZdLgVeO5Gt9LqPsxrXrA7GSfYTTkK88a/vRrEzz63CRTnsu1Ww2bpyUbZzy2zEm2bQy5bOsKz5wc8un755hQDnMTgnZT0G5EdAYJn3u4RsszCGGBNQwc3np7wGcfsTUxnb5mfsVh24YWb3tln0cP9jhwxKPpxygpLMh1g1Fotf7ff12HvZvn+cg9XR56YZLTK3U2tQUTNUPD09QcjeeCo0TqQGVMDln5kU6lmtbFChenQLcEAVEiiJIU2Il1RgaxoJ9gY54wpFkf8N1vXOZ73tDlpr0JG6dcBqMmq32fMPIJQpcwcolih1hLKw+FQKJZXXh2w8XTc7+8ZfedOhytfsCrTf7NBvjC4iqnFwYEifz+j3/y/l/72Ce+PNPvrVLzVO5rI1ImNal7IQ2eFPSUYuA2Odv1Of9Ig0ee7fOx63q843VD3nT7iOlJjzDwCeLigEUp0ONEESdpwiYpAK5Nyty6qCmztSygpK3jcByN5yb4XkTdD2nVhyQM+fITkg9/dZLnTkwgIp9dU4bNk4bZScXctMemWcmWuYgdm7qcWejxO59pEgd1tm0TTLYc2k1oNyKEG9IdNpls2YvcGIhiybSviHVML/LoDRJWuopzC3WuvqzFj33bKu/5E59TC00cFaUXhkMc1xiFkk0zPjdd3uW6y/o8f+ocf/q1Onc/Psn5Tp2mr2h50HQNnmNwFTjSpvOFqFbXacBoe9ElWpAYiBPbQBIlgjCxSaJhIhgmMIwNcRyjo4CZ2pA3v36Vd72+x6uvjZiou4RRk5WOTxB5hJE9T0GkUgtYEcfSglzbEozhcIXzJ76wwffjX5vb9qpYh8f/Z6hnqP01Av2vFeCDwZDdGxvffteXH/3vf/Lxu9ujfodWTaHSzk8jQSaFcyGlQSXgCPAk1JRgoDwGscN8UOMvHmly73MDXv6lPj/1XT2u2tFlw6Si3XAII48wdonjAuRJBnAt0cayhe3TzMBta1lsml/jODG+F+OqkO4wYqEb8V8/UePE/BRPHJjEaI+ZumDDrGF2QjDTVsxMumyckWyaidk6N2BmcoUvPKl5/IVJrtsmmGpJWg1Ju6Fp1kOEG+D7Do6y728MJIlkGDgMRxGxFvSGml7fsNx1ubjU5rYr+7zi6lU+8qUa9WWFIyMLSOMQJx5hZHs8Zydr3Lynz82X93nsjvOcWpD84d2TzK82OLvk4ylJ0xV4mQyTNvDMiTyTKlgmj40g1hBpQZDAKIZQG0hiiCOkCtgyNeS6nfZ83HJVQrvuEMdNOj0L7Ch2LAFFijA9N1GaMY5S8jFphlopl16vz6nDd8/Eif/fJzfetpLEg0//dWLyrw3gx44dZcf2TeoDH/yTy/c/dbDt6VVaE07OGgZ7MO2Saf1tR4IjBY40uLHBTwQNJRg6goHjM0xclsI6dz8+wYMvDGn6Af/gLR22zcTs2jLktmt6OELRajgIYeWKzUraWunsQNrzaRDSoIT1zA0xyJjnT0j2H3S469EWz59uEcYNWo5irm6YbhqmGsb64G2H6QmHmUnBpumYLXNDNs+tcO9zAe+7awObJx3m2tBuKtpNQasRU/cDHjysGIUObpN09RKEsaTmKG7YO+SRZydt4dMwYbXrsrjqc2lxih/75kucXVzikafmcCUgIjQQpwAKQkl/6DDVqjHZbvKKvQPuuG7A9752gYNnNJ99tMajB+scPt4kFg5BoBhECiVkWpVZDjzTnIDRxNpgtMYVCRNeSI2IV9zYZ/fmEdtmI979poC6J2nWXcKwQadn2TqOVUo4qvDa47QUIi2HiGORl0QYA0JIRoFiuRNzbvGR9tTsyuV3vOGd6ujRY8nll+/5mwPwgwcPMDEx5T315OM/WPPMr+twlY3TbupckAZ4WVCTFUylGjgxqBhcJfASgx8baomg4aQskrgME5dBUqPXS/i1j0xh4oiNcyOu3jFiZiLmHa8bsmNDSBSJVG9LKDF3Jo+k1Agp+Pg9dZ451kQ4DqfONzh3qUGtrpjwBZNNQ7umadegVRdMNBTtlmKq5TAzCbOTMRtnRmzd0CUxq3z8/jbDfpMrthnaDUWrIWnVNa1ajOuGfOGRGsFA4m4AmYIpiiXNuuLNLx9y35OafiDpDxO6A4fVnsPFpQZX7W7xjld3eeL5BqeWWyipgSjVyy5RYt2kUSjpjxw6fY9WvUGzHnDVthG3XjnizHyHkxdWcdyEp487fOxrDYRSFtzj8weNBjQYQxQm7NwY867XDZltJ1y507BxBpLYJQhbxLHLStcljhRRUqygUZQ+xiqNiWRa65PGRmn/bNZEYo0HQRS79Oc77FDJrz/x+BOD3bt3/sGhgwfCK/dd9TcD4GfPnmVhYWHv+fPn3vvkk/tlzZNI4RImOo/Sc6tO2UDGUanek1YnRonBTSBWAj8x1LQhTgShNoSJINCSIJGE2iXSsNBv87VnNIaETz1qRzZgdHrPsnipRSbSikQhkUoRRw5SO7iOpOXD7jlD09U0fE3Dh4YvaNYlrbqVQxMtyVQbZiZi5qYCtsz1SFjhv/55jQee3cCeGZhqpOzdkLTqMY16SLMxpF5v4CuJkqkGx170UeQyGgqGQUIvUPRHmt5Q25a5psfZSxO86uqAn3znJX7jYw6nV32E0BgToRNDFLuEkWQU2DLW1tChWfNo1Gs0/AY1P6JVD7npihDPjbjliph3v36Ao+I0CaQRwlRFeSrptLa1+L6rAI9R4LC04ti6nSSLedJ7LIsYqMTWUVIAO05jouzROlsitSmtxTsKDPv375fGyPcGwfD+IBg999eBzf/XAP/sZz6F56r6yeNH33702FHhOrbLRCqDikWRPUxsvXCSGJQSJCnI7ZcEJ43ekyyiTwSxNkVkr60+tHdBqCWxkSTaIdI+SbpClG95llKAI4TNVCqo1Q01x1BTCb4LvgM1z1D3BXVP0qhLGjXHArwpmGxpptsxM5MBG6b7bNmwxPvu0vzx3RvZPqmYbWnaTUWroWg2oFFPaNUjLixpjl3wqXk2mIas0k8wCh12b9Jsmh3RHXkMRyZlcclqz6FVr9FqTPLu189z/MJFfu/TW3Gkg0GT6IRYG6LYIQgVw9AWRQ1qksbIoe671P2ETs/GGJ6b2ISZm+BI2yghpU3ni/RuS1esC2BBLujotMpS27gmSSRaS2JdxDtxIkoBviBJUjcr/Z1NKIk88LfnOE006VKiKbaO17PPPiMGw+Hbd+7ceewvPv3J4bd9+9teWoBv3Si9bu/SvwkGl/6NEiPZqEmiOK2nViI9ABbYSWJIlAW61iJPxDjK+tVJlnxIL4TsZ3s3RZo9rZSzXq7IA6Wy5gbSTJ4NrBypreZXdsVwlcB1jPWNHUHNl9Q8Sd1X1GuKVl3SahgmmgmTrZjpdsDs1IAdG5d49HDAR+7ZwlTNZ2NL024IC+66pFnTNGsxrUbAo4fg6YMNLp9LbVJRpM2HgeKWKw1X7Bjy2HOTDALDcJTQHzopyF0atTr12iTf/Zplnj48zyMHNoFRaJ3YctjYEEcmrycZBg6NkaFeU9Q8je+5+F6C72gcJ8F1shIIbbdgkbY0GGEQFHquCM6tXtaZI6Uz+7VkxabAjnOGlnmWdA24dXaesywq6aNtcIliw3ClL4+fOPfvw9jzavXGLwHhSwZwY3oyCoc//+g9f/QvRHzWm2p7BCGEEShlM4sqETixIVZZLUiRXEiUwcmYXYv0d1mtiMk1fGKyzJtBp5m4LFlhjCk8bqorbpaqzhI6SqYZS0WpaMtm/3xPUfMVdV/QqAtadUO7kTDRjJlsBcxMDNkyt8Ijh4b8/Ac3cvrsJJfNaiYb0K4rmnVFswbNWkK9FuG5Izojg5IKVxmkLD6ZPcGSKPZo1yMGsWaQ1lkPRgm9gaRTVzR6PjW/xa5NEb/wgx3+w4ckDx/YiEGhjSZJNHESE8aaMLJNwENfUg8UNU/iewbfU/iOxnVNWudjLMCVBbhKZYoQptqgm6b2TUoiJq1lSYzIgZ4DPsECO2XmjJ3t70QF1FnyLU5KnnusiWJNlNa8nH3htLc6qv3rn/jxH3TPLwT/bsuc/1dO5/+VAX7wxAqHToS/tHT+rn8mk4O1qQkP2dcpqGz2TEm79CRKoBKTXskGnYM6A3sB8jKwde7RgtE285mkAWv5zhjAhSjuUlqJoqRAKbtaOGkrmutIfE/iuYqab0cy1H1Ds6ZpNRLajYiJVsh0e8iWuVUeOTjgP/zBLIdOT7Nz2josrbqk2ZCWveuGRi2hUYuIkpA/+lILqRSuNChR2ITaZEu4y99/4wpffDykF/oMUoD3h4peX9HxHWqej++2uXJ7zC/+0BI/9weCh57biDZpDX2SgSOt+qvZclffF9Rcge/ZzKbnmDxj6yhtJaRMVzhZAniR8gRSEsHmEqzbkgbyGYCzgDFPrqUgz1deUazOFYCbvEzAAtwQRGlbXSh56KmTtRsf+dw//77vfL0w5tLPCPFX2ybxrwzwmj6EwbxisPh4vSYiPMfFcy1QQSCkyUEep85JokQV1IlBK3Kw6xJD2+fpo05ZxJjckSE78GOfK/fYszoTSVFMldaRW4BLXFfa+g1PUPPtzJOGn9CsW3C3myGT7SFzkx0ePTjg5z8wzfOnZtk2JZhplqRJzaFZs/Ur9VpM3Q9x3YBzS1O4yrbYiTTLlQWZSSKJY8XmKUMcR3SjGsPAMAo0w1FCbySpDxQ1z8Vza7jOBPu2xfziP1zg3/4+PPLCBhItLcATQxQnKZNrAl9TCyUjT+USzHXBdaxEs3Uq1qaVmTeePq6DcStXSJNCiDw5pNPkUJYtTpLS62V5mQPb5HJTZ+BOTH6BZu11cWIYjULu+uIT9ct2XvEKKf/qO078lQD+wlOfZzDwG6L3x17LHTIYuSDAURrPIfU4bd1Bxp6OItVgFugZU2dgrwI7kyEmB7rJ5Ej2/EU+mxRFEZWUpBeZSNPWMm2UyOQJ1FzwPU29Zqj7Vj836hHtRshkc8jsVIfHj4z4ufdP8eypObZMKuaamom6oFWTNGqKRl1Qr9mLw6b6Qx45IOiPPGoq8/6tBs+aEBItiGKHZk1x2zU9Hn2+zSAq2sEGQ0XPV/iewnO9VD9PctV2za/8yDw//bvw0IENRFoSaZ02SxcgCTyJ72nL3m5RR++o7E4qUwoZJ9Ms73ogz5JCJgN4Cvgkd16KAq7yyquTotAtyWOr4nlW9RnFOi2Qs2/X8ARHjw/5pd/8nPcLP/WWxp989LOD733nt/yvB7geHUT4mycPPvW537m0KF8ThzZrCFlgaQFaSAQrT+JEoDQkKvviqSfqiIKly6xdArTOgV00BZNq7/xkCFtQJGR2cYkc3NkFptKKQdexBT+eq6l5aYGVn1BP5UWrHjDRGjLV6vLU0YCfe/8UT5/cwKZJh7mGZqIOzZqgWVc06opGzt4JNT+m1Rhx79Meq50aU1NFmjwDjE61aZQoNswoXv+yPvfu17aLJtQlkEtqrqTmOriOh+PUkVJz1XbDL//IPD/9u4aHDm0g0g5RWgFoy14tk/uRzKsLPUfiOGkRlhQoRxT5CFmcK1HKdIqsKo0iITR+16VHrUuPYytyBuyswCuLt4qS5rTgKz2pjgJjEhpy+Jr7nzjx+9/z99754488c2r1Fdfv/F8L8MWFeYRa+el4eOh74mABbTx01hwsDcoxuGQzTKSVKBJUySnRWpCoss5OwZ4mZzL2rgSS48ydIj3LyOXaW2YxQKG7s4pBR2HrMxyD69rG4pqnqXkJ9VpMoxbRrAW0GiOmJzo8cTjg3/zuLE8d38iGSZcNjYSJhknBnbJ3TVL3LfvX/JiGHxLrgF7oI5TEzRg81+AiZbe0QCxyaXojWy4Q1pjKQD5KGHiWwX1P2pp4J9uA1nDtLsN7fvwS/+q3NQ8d3EikHYJEECY6ZXFBLdL4rsFzbe+qk8YdjrIlwkrK9PikXfnZY6kwK78wy7HOGLhzEioRk629T2OnlMAyGZq7YklmCWcuG7mBIAV4juDM+UUee+bk91x99ZPHgiD6t/9LGTzon8FrbN354Fc/cF13aQWFa5csYwfyKGnX4EIHa5KUQRNtSKQoli5dgF3ny3b5gIkSUxRZSVNeMzPWLgeV2XKbduioNJhynLQzKC1CyqoHa26S6uaIei1gqj1gotnjkQMxP/O+WZ48vpG5CYe5esJEzdBKwV2vWTsxA3fdT6h5Me1myIGThnueaOJJiat0GsQVHkV2DKJEEWuHO2+KuPyyPsdO15lrUPQ5BgmDUcrCjsJxinY+IQzX7IRf+dFF/u3vau5/fo5RVLfJsNjQSGu4fRcLcidbvXQqUSRSJfkKp6QoAVyUQM4avVKA3FQBXgJ39tq47CzkSvqY5j4yC1HrjLjs+9Q8RWfxPPsf3X/dT/3Ej+x8/tDZU9dcue2vH+APPnWB/ccmdnnRQ/8lDBa/PYlG6Z40NgKXCJCZpyrTBEtq/0kxxtomjcaLJa2wo4q6lYpLssYtEfmBqIBbGKTKbEGTyyY3ZW7P0biuxnc1vhdT82JqfkijFjA9MWClN+C+5+BXPryJZ47OMpuCe7JuaNUFzZrIvXLrvGjL3p4FeN0PCJOE0bBGTdmLTIrS0k+mWUUaaDpWyzsBQWgYRqIEcI3nJXiug+tKHKVQ0s0BjoDrdwt+5cdX+LU/iXno4AznO21GTclkYmjFhlo6ccB3Ter9Z06Kydk7kyoZwPPPm37oMs5zhZielGJlLZXflsFelixjzxNdgL4C/NJ5d5Wg2xtwaWHp2w+8cH/y8puv/efGnDopxDcmVb5xBg9O47qNW8+dOfL2YPEo0xOuDSaxettkXqoRaJEgtSCR0uruNLGjTVGfrVPbzy5tFM9NVe9VWbuqCrOTYMc9ZOxtUnliSsOBbFms6+h0zESSg9v3UnBP91lYGfLLf9Tg0w/PsdifYm5CMldLwV2zuruRBpZ1X9LwTcrgVnvX/BAI+epTHiuRx4xPpR4bUV2hksQ2P7R9h9fdOOCRQyG9yGci71jXeIGtVfccC3BHGZR0ESmZYGDfdslv/FSXzz4y5Jc+sJGzi1MMJx0mPUEr1jRi8CM7etlTdqCRmwWaUuRBcPZYDtTLF2bGqjnQK+eqBPaS25Wd0yQ3DbIEHaXA1FQ0fFmK2kpnxQsHj/DCCxvevmGm/Uf9/vDkXyuDh8EA16tfcfzwg//0TO8ASvkk2iYMisjb5HJCS3sCVWLyTFiisxQwBdBNJk/EmOYWVdYuyxKKunIBebo5cwFUBnBlcKQFtqMsuF0nwXMTPDem5kX4XkSrPsRxBtz7dMLvf67NXQ9sINRtNrQFszUrS6wFmPnkKr2LlLnL7B3hOAEPvjDJIHTY3Mg+zziDZ1aaJIoVNVfxiquGxNoCfBgJ27Weda4H2gaHjkhZ3F7IIpWDBsHspOB7Xtun5Z/nA58bct8LM1yM6gxqknZsaDrGgtxJ4xBl0rjEpCDPjqEoascldmUWRYxTPRMFyLOgv7zyls9ppeguZfk1gWnpgslWDJnGb0o6fPGrB9i0Zd8/ffMbXvVkrz840mr+5SPh/lKAz188y3333Uu90d6yPH/0jl63x1RbIkScp3uFKEw7Y0QJ6KIK5lKpZNbClmvtyt8t/q38aJbtK2HGpEmWlbMVg7ZSMe3OT5nbVbYWw3cjPC+i5oY0GiM8b8CH73b41f+5gWML07h+jU0twbSf0PYNTR+aaYd93bfZzlqaELL1K0m6Elh5sthN6IcenlJ40uQBJqWvkl3YSVqzEcYudXfEpskhq4MWw0ik49ZsrOC6SWrzqdTuVOlxLweutvLx21/d55arF/iVPxzxx1+YYzluMvBdmq6k7dgaHN8BT5E3QzhZ0idd+WQuVYoEUJlUqmJlPTZfKzNNSbro8bsu/71imRDCru7Wn5d0Oh1OHj9yx8MPiy2rq50jJ0+dZtfOHf/vAG5Mwq233rrrzKnD7zvy7GEb0btFXUN5PEF+RZeYuQB2lg0TebKg+HOpv5qDu1TqWrqJtA2osANNobvzOSp28mzB3EkKcjuawvdCfC/Ad4ecvBTze59t8sn7Zzh+aYp2w2W6BlN+Qss3aeo9A7dMwS3zpFAt1d6+Zy+cdjPgEw86HDlVp5ZO4MrbxShQno9xMGlxUuywbyd86y09fv/zM/QbDu109ogfpnGD0jiOTMfWUQK5Wzr2dlXYMSv5me8bcN3us/zuXdMcvzjBclxn4Do0laCRAt2Txl44qcuUr37Zcc3sQ6w+LzKdZq1PnjFvVjphqoxcsRV1FeAWE0UCL7tlbhik9URK8sRTL7Bv39733XzLrW/pdLt/qVT5ugA3JgIc5s/t3xb2ntkz05rH9yVeWriTSZRyIAKUZEfB2CZjb0rPx9g7X+5yVsho21R0YAZs+5gWDaXgtq5Jxt62M99xYnwnxvcDPCegl4S896MeH/jsJs4tTaJVnekJxbRnmPA0jZS5G3n6XqZ1Kqk0Sb3zHNyezV4GUciRsz790GfKT12cLOmUuRJZFtaUalIih3bTYfe2EOWP6IUthp6gHhmCDOBOkiZqlPWxZVYCvF7wqpibGPBj3z7g7Xde5AOf7fJ7H59hcdhk6NSoOYqGI6grW3/vpd0+Soo0u0m6Gpr1mZyqXMnBvR6bMwbuEqnp9Zg+J7P04kqrR63TInnh2DJfffDAnjCpbXvja2862esntJovvlng1wW4Dk8j3fZcu5l8dCG6z92yQWCMzIElhO2SqZQU56BdW5VmSqxur9Z0yGbO2AKz7icxJTvQlN6/zN5plZxKLMCdBEcleG5EzQvx3JDOKOTBZyQfvrvNx++fYZS08DyPGU8w6WmanqHhGxpeAe6aL/F9iZ9KE5sYSp2JFOCeazOfJy4Y7nu8QRi5+E2zJsAsE0BRsCQJI4XrOrz+lh4f+XKfQ2ebDGt2NEPgGrwY3Ejjhhql7JxGKyNkMdyHAjyJtr2PDd9h4+SQf/XdA67aEfDHd7fYf2CChWGTkfJwXYeaI6hL8LMBS5m9Ko1lUEEJ5NWalfHirNJDTlAZM1dYfTxJlMqSnMXHQS7Ia3li7fLhu552X37rzR89e3HlZcur/YW/MoO/cGq3XF1+/Nbh8p9PXLvpAkGtTRQ7NrFj0vBGVD9UBmwqwBZjGjt7TeTLUqa9qtnJ4l+VGZPnKWWdl3ta3W1wVJJOn01yOeI4EZ1+xAPPCT74+TZ3PzHBcqeFrNdo1RWTrqHtaRquoeEZ6h4pa1vmrvuSmqeoeYKaR1qhp1Nwa3zX6m/lBBw+C+c6NZtYSfVtNXFS1M/YPsisjFQShg4b24Irtg959nTMIHIJ0hnfXogFXz5ZN0vUgBzrzMkunsyGjBJbH/6u1w9508tX+MqTPT70hTb7D7RZ6jXoSI++5+ApgScFvrT9sY40OCKLazKQpWW/rGXwNfUrwBpdXgK8Lr2elTpnjF5mOZO3PNpjNUygHw546LFPTLzs8m+59borX/Z5vs7woK8L8Lpz2F8V8W///qfPNP/bP+niuYIwthNZTdbUm+vK4rHK4mINsO2JyIrrq1d89aiVpUlp1chliU41t0bJxA7Ez9wMGbHQi7n3cYfPPdDi0/dNMN9tImo13JZL24EJ13by1F1S2QF1T6R3mZacprrbE/gZe2cAd2I8L6bmhRgT8dUnfE5dqDM7LXBlWlmZ2W5jbGcq5aaKYeCyc6Pg9TcO+OTDIf3IZRgJaq7Biy2LB5EprVIq96sRsiJT7F0WjQra+u11P+Bdrx3yTbcs8an7e3z2gQb3PtNivtNgKDyGnoPjKhwhcKXAlRJXmFRqGRSiJA2r9uHY10s/S/GYS5GsBJeyDhf5z6b0aImgKLKLNMRJhGe6vHz3U02dvOm3T58+eRUw/CsB/PDRB5lf6tHtXqLZiDG6hxv6dt/3tLk3Y2eyEQ0pqMlBLdcyOOnvU1Cbsk2SHqLyMihKwBb5Dg8akQLccRI8J6JWixgFCYfOwcnzij/90gSf399mfqUJbg2n7dJQkpZraDmaumuou1BzLbhrrp1JaMtMZeku0t+bFOQ6B7nn2va0Y+c1z57wwXXTZd6UUvSigoLycp3XTyd2nPO1uwOu3tbn4LkGw5qgEQv8yBAoUmtPp+yduSmZBVloldxnT61IrVU6fcBlFLrU6wE/8OaAt962yhcf7/NnX25w8nyNg+cahKs+se8wchykSkdXA076mDF5Ll0ogv81TF6WJhVgF4BOMqCXmR6TSleDJrNYNCQRxAGJCYmiec6ce3ryyqv/wd9b6Zrfn2qPXWV/GcBNfEhEUf+ffuHzvza7tCp4+IDDK68OqNdjGkqRRIowtEDXZabGFseTSxBRYuuS1s4YP/9fcWgyX73QfDapYSWJtqMfZILv20mqcZJwcQm+9DWHY2fr3PNonXMrdY6db4LvoxoONUfRdAxNR1sXwbWD82uuHddmQZzdZXpXKcBJNXcKbjfBdy172wsr5MQCHDjZwJVVezCXKBT14IWbkDopOu1rjF2u3jnkig0DnjseM4hdWpEgcMCL7UxAVQK4lAIhZYXJoWq/5TIokXkfZZS4BK5Hux7y998Y8Orrupxb6fLVxzyOn/H54hMNzi/VSIYuWjpEnkJIaVeKtCtfkmY8IZct5HKihKMSG1eCTlKfnKyAruQnZs/RYBJL3WGCUCFSRdx+zZANM4ZPfPn5yR/a3PlJzxt9YOxtvwEG734ax8Tfc/X2k83BaIJ/8qszXHdFyB03BVy9O2bzZMSeXQEOgjiUxZKYMbax3e0VNqcAfvFxyoFllsgxY8xdkiIqwfUTosRw/Izg2eOKLz3a4LkTHi+cqNMNfILQB9dDtV18JWgoaDiaeskH9p2sTiMrm7V14X4qSzxP4XkyvQBMob3dxGYWXavza16E0SGXliWB8XEciScNTslmGyPwHOSJqfY7hrGLwGFuOkSqEf3IZeAI63RERcGYo3QlAykzk3p8JdWyYPLSYCQ3Ufn4iUHgsWkqZMfGiJsuCxiGQ/7BiQ7PnfT40iM1nj1R4/jpGlGswFcYqUBIElnKBuX0/SJapZzhyhltPTBnpnja4R9pHDR7dgVsnYrYtzvgzpsCrt8bEQSCj3/pLOe6n8Z1XhzG6/7mP//+F/nAF+bVbbu/IH7pDyY4eLrNYOTw3CnNFx+NmHATdmwNufbKgDfdEvDaG0OMFniuod60sgQjQNuuaqNFVZbkObjqwbAJI+vMuI4BoRHSEIWGwcgy+smzkj+522cQKZ56ocbRMz6LfY8g8cDxQLmotsKTgrqChjLUFHacmUoLj5Rlbc8VNulRBrcr8VJZ4nvge6SuiU2Zu47Gc+M0IxpRr4XMryR86aEWnZ7P1ITAkTovGchwsGaFzPzgXItLgkAxO6N4020jvrh/yOlOk6ErrUxxwI0NbpR51qnHLhNrF1KedSLz99DGKb2HBbqXKBJHEbvp2IfItVaqG9H0Il59bcwrrgp42x0jDp+RPH3AZRgq/vhLDU5cdEFIBkOHJFRZ+SbGyQA+ZhllAK+kpQuvVMQGoQ0GC+x6I8H1NMIkvO6VIW+8ecQ1V4bs3JIw4cJs2xLncGT49z+wyp8++IL4+R+9Xv3WP/to3N60djvxdQEugMX+3Hv/wa/OXP/UIZdIONCwg2EWhjELvYQTyzEPPRfzsa9EzE7FGK25cW/Eu94wtBViMcxNJtxwbUCzbmxRgRH5EibWeddsOE9nIHj6GYelrqRekzx6wOUz99cYRYpRpLhw0UMLh8i4aOGC4yB8B0dKPCWoSUMtBbavDL4ytgbcST1fp2BuL+vLzMGt0h5NkbO352o8LyvQSnL29rwIpUK+9qTikw+3UJ5j7baK/n5xBs+88KIbXTEaubz19iGffrDLH391gn5co5nqcDfT4RF5FjnrFhJC5gBLi5dLWr8EcJ0O4XEsk7uOInYcnDixQFcJStlB+lO1mNuvjLntyggjAt7x2gGjyI5z+4v7fR474FH3BYtdxdPPeXQHMlVJYt0znDOZsVN+mzXDDS8LmZ2MbeNLYnjXG0a87IoYo2FuUjM9CRKFMR5JougNrCwWwFtv07zimkvXb9vZfi/wY98Qgy8sdpidabd//Xc+eeWo66iJWo0YSWAg1GCUxpgEncQEOuZiN+HiagIm4fBpzWe+NgFoTGKYmEq49bqQVt2WUK6bnixfVqnrsNpX7H/Wo9tRSEfamSjGscwkHFucIB2QDlJKXCksmKXBlxpPWiB4CjxVzOizIBdFw4NjGwGyxuMyuC3Dp2W1bsbgSeke4zsRxoScW/QIgxr+hMRL094qrcqrZDHTq7vwrEUJ5JJEK8LIZaql2D4b4okRw9hnGAvqjh2CmdWQZAktJcvlrTJ/L/seMk3+6CJ7qnXaM1lIozhO0ryBSjcfiIniBBXZXIKjEqSM2Tar0xVDc9WOEaEZIh1NpyPY/6zD6sDW/495vOs0hFs8NGuGV1wfMTFpMIk9FnUpUEKmXfwuSSQJEyc9PulsFp3NZxE41FSvr6/csudd7STqdJVbnVK7BuDLy0t0u533nDt14rVNumxrOwxjwzCGYSIYaUWQKBLpYkwCOhu4kxAbTScbviMN3RXNhXvKy1L561L92qXlzQiBzrZcIK05FaoIcqRMrawM1GnaWZJu3Jr5xqVHJ+2kV6Rb75GD27Z1KbwU3J5DXmJqGTxlcUenWdwY143w/Ygzi5o//GITHA9XiiLAzOWJWMPgZXchGxJqwWZPXBi5vPtNQz5175AXLrXoJy6N2G5Ka6sATdGJo7KcQDnYy0oXMykkSwVe2V3ntTCOo3ATOy/FTYGuZJE0s3Xj6XORlWckOMIgTMJsQ/Mtr9IgkqIuSWT7Z6x3vo2VsEZgtIOORX4xRokkTOM5nc6YzACdpG5QnCjCyGEUuvQHEn94/rW1yXPv0Tpes4XbGoDfe+/XkFJ6o94lplsCNzCowKAyQCUwkhBoQagdEumkVWPZVCldBA1AkgUS5fW5wtplgMvitTR4EVLmLWhKgCtsWtkXtlrQlfZnR5LWVKTd41khkUNpDgrpzmxFV30BcJnLFt8zeUub5+nS4JwYN2Vvz4mQMuTURcFCt4ZwHHxJRZ7k6XlRObUV6VABXup0hLHLTDtg56YhBy8GDBOHUQJ+InATgxunOjwmd5aKw6gqnQpZTGcn7ZqioyqXRhon0SRKopxs+3KVFqslSKXTlUIX1mwKcpG9N3rMyi0K8DIHLD8Ced5jPG9SduFSBjcCne6Cl+hskpYd6hmELsORy0rXobe4zIXVr3nrKYQ1AF+cv5DaWhF1XxAltmkhK3iRApwEfAGhhFALIiNIjEIblds+hvGIeX1hYrtyspJMiwhrQRUpWkeAKwyuSEGbSoDsef5aSvZFKSh5g62nhAV7BdzSPnoZ0LPgMwV31v3j6Fyi2F0nrP6Oifjsg3UuLdRxJxReuYaj7KAwpkgr6WoxFgQqRoGdYPvNr+zz4DMjunGNgeNQjzVhmk5XsiiIygrOhNAUnUNZoClyW9Jah+lMFUM65UDgaEGsBE4i013sbC1PnAK9SKbpPMGW7YZXzk1UAJ4XxmWMPnbec3gUdnIuq/LegcKZS9LxcHZ6rZ3oNQoVw8BheTVkfuXsuvCqAHzl3B8zOeG96n1/+MIto1EIiKIjJp0olR06JcHVNq2baEhIh70gcpuqnJFag+vsniULBKjsURgcyK02laaMbYd+oXGzCbX2UeSjEMrAzuegKGw/4noAzwLOTHc7mSwxqd6u1pJ7boTnhlzsaJ44WgfHw0nliVMqUMqyfWIM4SbNzuVMnvelytwTjyKXGy8PmJkc0llpMIgVDQVubL+LStLBpVEZ4FiQ529UZJvzTLI2+ZQqrTSJFrhakChJojSJEsQpyMvFa1k5hMxAnoG6NCFLoIvapBzoKZrXy+aSZcDHMt+p65ZkMkWXcwXpPMTYjo8TQuA4ETH6Fn/jja/6H3/0qQf+8bu/Y32AP3Gwju8633L6YnLD/MoIsKWY2V6Vblq6KIRAaUMiwDGQyLSAXZbqChirMPs6ABcUg3EK9jY5g4+XcDpZbURaA56Vetrm4qxTxcoSlXevFMDOmm8te6ea2yHX25kl6KVlwRm43bw6MUIQcdf9Pg8+10L6Dp4Udv62LAqDivks5Trq4pjk5cQ5i6d6UyuGI5fbrhnyra/u8Xt3tQgTn34iqSWGICZducpVfzqVc3rsgnoxJgftyGKMXgruREmU0pbRpUxHS+hSKXK5BsgUIB9j72yjAbtIfz1zAYocSUqMWqbTB2TpuJS8fJ0lD237Xbs2YraV3LBxq/kWncgH1mXw3uo5Go3mmx556CvfN+j2MCiSxKRtaRZgWol82bHgS+cElkof8+4cSgplDNmV0tc0Y5mxeN5bSVHzUB5tkDG33YIk+5mUwcnbsCosnnbDuKoKbjtOYYy5055NL21vc52s4SAu3SNCIv7sq20S46Py7GU5wCz6GjNno6LBGWvX09KO0kiyYNNB4PKu1w34o88GrOqIYVJjmAjcmJzFpTTIWORFZ9YuHK89kiVrUpRALkictNNdpSB3DEpbuZIog0psBaPNHsu8NLmwKMvVnUUZc9Yzmp3fF6e6AtwZk2cFevnIOCOrzk/aLCOkLV1wXcm5811iJ/y+17/utfccO3Hui3t2b60CfKU3YhSry5d6C3tWB/PESdsCvAQ8O8fOagmpQQtbM6Aqdd2mwtzjFtF4qWXBcKYK8LHn45ozA315todSotDiacVdZdhNCmxHicJJye1A23FvG5NNytxFgOmU2Nt3Q544KjlyvoZRLkpKPKlxxus0SgJ83EXJ7pU+VVMkfZJEEcUue7ZEXH1Zn4cP14mUxzAW1CS4icGJRSrf0i6cONXhSCsXxkBUsLgoSaOsLzJzVyxokmx2eyr9CnBntUAmLRPImJx89cjYOwswi1kra9J7JYCbIhmYM3lRjZrPQkxSx8VeDjiOoSZgFF0k1vN7XDW83HOHX1zD4EdPrdJqBNyzX/PkIY/JRrUUVgowmUTRgkTa4FiWQJ1pyjUffixvOd7Imi/lVJd1ldd8F7ZbIVmE7Z4XBbhtkCnybnEnB7esALw8/Md225MDO89W5syd4Dk2sWO7giIMER/7aoOlpTrCd6zvXr4Ix2tQSqtXpQBJV1m14k1ru7fN7LTkna/v8cTRNkFSY6A86onV4lk5q5Kk4M7WCp164oWbBTKXAPl7Zo3fpTEe9i5RurTTtDZ5YklKmX5PnbfNZV3+tk6FklwZ68IqS5X0d+MTgdfvJyjs1KzdL8OOxJZcvPxKw+YdQ5JwGccUxYU5wO/58udxHMnKxWVmWm7+jxjK/xiZpMsautd0YqzV3S8C7hKg88cyoMssXhkvVjC2LDO4EiUWz+SKRDlVgHtOOgDIzbYOTDOcjsHNU/E6fZ5U7o6ynTsvnIKP3t0ikB5KqjR7Wb0QxzOY65gI+fGq6vBUcyaKOHHwE4d3vnHEBz8/4JnjdSLlMpASL9GpeySQiSkdJ2Pby0R5/dTpe1X3LSozeaLByS1EO/VXpSUBKjHFsM58LovIL+h4TI9nYF7bIGEqK1kG+DLIy40v5c+adSuVt6YpF6/1hy0ef+oSweOfQ5BUAR70zuI1tzbe93u/t/voiXkcaTdS1WNsXPTnFQ5AUV9SLZEcP6nVL1a6ssf09/oSReTAGR+HLEuMnQWZ2dQmx8k2eU21txoDd5a+d7PGZG1nhuQtYllPZ5zeI5QbcuScQy/0QDmpPDFj5bHjF271YFQHGo154Wk3TpH4cWi6giu3jnjmSEiifYbao5bYmm0n1eBK2PnaNrGUkYouGCln8iKpkvVHOvlgU/ua0tY4cDRpB5FB6mJCQDZdK8m6+3MDwBRSUxpkBuh1tPh69TmVi79cTj3G6KS4yy6SvKAsjmhNTOz+7u/9ocYdb/z7g717NluAJ+FJqF9644aN9Z9+/mQfLwVLDsgS42aVrQUDmfWLS8ZeG9feOQBkFQgFsIs+RlViRVUZqpmBnKJGWpVAnT9PkzyK1Au34LYALoYCuWV5UmZvlfZ1eiHLPc1/+/MWS8MawnetPJGmsqoUg3NevCIjBzq2bDZvws4ZXOaZu3bD4Se+s8dXnmizFHiE0mEoJV7aQ1mMfEgZPK3rIdXFWRmtQafg1nmlZ+GsiJTBTR6kZ2BXUqQMbiVRkrso5DKl0OFFO6Eo6e8i6CwA/mLHZrzctszy4yQK9ju36pp2Y4FR7bqf/uSXDz4gzOBTOYPf/8SzTLY99h88w3wnZmPbK664/Aq0/3ClQyrNuL7oSSwDuvzzGLtlXzYDhp2TNy5RqoNpcmBLgVTF+DFVArUjJU4qSZwc4Jnm1nlQ6To6B7frZPUXVfZ2VYTnhfzpV12eP1YH6SKlxM9KY0vWZr5HfPolX7SasMTm+U4VJZkSa9tyFscu1+4Z8O2v7vLBz9fQjs9QevhS5EkfJQWRyEYgr2VyUWbySgNKaZSHsoaBIy0rKp3NJMlYXVCMlShm0RSTaW0fp5BVgGeOWEZsGfOyLnYK6OaEWtbpgopEyN7HWrw9VvsHWVwBJQJygD/y/DS1ms+588tMpPvJZARcAeh46Wf5jcZJW6QZ2gqoC+0kxvr7Kp5xHliKgs1zhvzLAC4LgKtSDbWT1qW45FLEVYVb4paGAxWa27K369ipVSsdzV98rcVix4da6p6IUjD2IhIFIaonslQ5usa2K2XwdJK5KQ5TbcW3vXbApx8csdT3CZXDMJGpPSlS90YUzdiyYMsM2MYUXT86Z/Oi293JnBWVPpfpz9JOBc6OexnkQopS9302xDPV4emjTM91NdgUVbCXJiiUL4QcVaXAsixxMozanSLq7N3W5BWzPnFs/4Bz/uwxpqamdu3f/8RPXjiyyIZJRRBXLqTqclt2BvIgqni3CsDLf3/s74jsC+bAFl9XoogKsKuzv8sdLna4O1VwZzsbZMytSsy9hsGzcRPFyAlH2czliZOCw6dqaHyEdPLm3KJ6sBw/iJKrUZyxci1KweSiJE9E7mTk7WaJA8Zh386QPZtHLB2sYxLPsnhiZYpTcnGK4K5c6JU1GMhSjiJlc1P45FqK3DosxzZK24tGS1LtnSa0ZEFGObi1sPpbivxzZCuaoCC2MuBN6ThVMWQqeMqcavuSyUGWaEF/0OTwYwMu2zf5k9dcd+NTBw8eOenUvBFJPNi0e+vqm7ZvOM5jz08TJ+lM6/XYFRgfWTy+1JQvhvX+XJYAyUqHK0PrK/JElJwJUQo2C0BbBicdBVz2wcv3dEtrVQZ3CeTpfvVuWhqasbdKf3acCKUiPvtwiyOLdfAKeeKWrMu1kovqgRm7VccoFAVHWeaurMXD0OGy2ZBvvm3AYy80QLvEidXibpJmd5OqVCpWyQw+mW0oU2tXFMFm9lymz2W6qsjsbo99kq4YMgO6zlZYkxNTRaogqhddhp3KsP1xdh9b9ce0vECQOeGZ1HGkodmIufdrp4jawZt2Xh5tWhkkJ50Tl2CiZXj0eclH73foDeyuB2Vvusyq6zkE6+nr8jJTkSIlFpfpD+NaW5TeLysDHQd2zuZKlJpwS+BO5xMW23awFthOMSAoH/Hm6BTksZUnKqLeCHn4kOJTX2syHHnQcHCkwBVVaTL++csX9LoAZ0x/j1mGZV88ih0mWg5vu3PE5x8c8OghD9N0GSY+niC/0FT+/oUOrgpIC/KyeWuDz/QCU5bNE2n1uC6xdhbUa5kFlaKkv0Up0E1JSovS58hWbVN6PiY3REaepoKTMt4yt0ZjJRKpBHKUplmPePtrO1x29ZANUxHtWoQjYo00CWFf0V+tWbljBFmOvgw2JVnD6FUgj1+N6wSV2TK0HnOPPc+liChALXOJYoEtszS9LAVEqlw2a7Nd2QhlJ92EyVFVoLs5W9u7UjbA9LyQKEz4/EMNXjjdANdFSJWCKp0bUgouhRw7KeOrWqYWMtbMqi9LmUwL8qImOrMLw9Dhqh0xb35ln6dP1glij0S6DLXCSxj7LIJKyeoYyM3YZ0FlF5tGK1Fkp6XAKDsZO5Mu+YoqQerSLENNib3XxlRVIBdqoByArpcEzANmkZaRk8aJFRltmX2mOYEnfIYDQxyB04r+hMZQMucPaU8KLs7bwvr1wF2eV1d58xLIC61VvSorjF+6gosvUA0uqwFmsQNBIU1KVmHO2BnAi8mpuURJmdsytsmZ2skfi+duGlw6KsL3Qp47Jfjigw0GQw+aLlJklYOU7MF1spil716ItaIWJbOhqoPkxxI+pQKsMHJptULefHvAp+8d8fRxHxyPkZZ4qRZXGlSSAS39DAnpMi/spjplK0IVTo7dNiSVLtKyebaqZEG+lhbsUheJNqHLbkq66upCkoxLlCrAy7JlLDhfRyIbOWYjyuLiqPkJF5cjfvN/PsiZpQPU3AgnjJ4ArZnv+By5tJF6qtkqlXxj23BU7Lx1ZEoeMa+RMuWgR6wBQi5HRBZUjjO41dvlbKZSaYWhyvYIyj5viblVibkzcKd3N5tCmxb4Oyq2dyfCdSNik3DXA3Xue64ONQekbWh2SyW8ldLY8r38w4to8HIm2GQbAOjCUclKRjOgByOXO64d8M2vGvD8qRpx7GKEYigc3IT8M4mkYPHiI6zP5OU6IqUy5rZsbn8WSC1yHZ77/anDkpNSxuByHUmbMXsJD+X4q1jlxi6C9O8aUWykm49XFja4zFYbKTR7tq8QmYhXv/KdN/7bH3/nk877PjdDs2545ohLv+cxN2tyBlTl5b98dY7Ji8qHZi2Yq78rZmVnS1nhoIgK2HNgV6RKOU1fuqsxcKvS3Sk2Qc0A7ZZAnTkn1jGxj0pFeG7EUyclH/1qC/BAugih8i4ilW6kWs66llekDFZZPWHFSC3VyhfMXdLgRqAT27pnp9CqPH1vjMO7XjfkSw+N2H/MThKItGKQiLTgKwVdkrFjaUJYJQKwqweKCtCz36oU9Fqm+/lkQbEuZZZN+l6mFDfpEqhlicAqrJ0Roqgm+9as9KZEfvZcl+WVwO4gkiSSYaDYMufxjtfE7Ll+z7uATzkf/9qW9FKI2TI1ounZ4hUbnIliGVaiJFFKO5qNa6Uxxq4yeVWWjAMi3x0t03AV3V2sKBWQp61pxWZT9gItBuAX4K6wdukxa6zNpIpSMa4bEyUx9zxa59mjdXBdkDa49IQpTY4tB1Zizao2Lk8KiVI8yRsgSjUilerCRKJV6qgktl3rmj0j7rjVsvgwsSweCI+RBifJ/PC0TqXkNhQSxX6ASuVnybpUEowySCNQBpv9NAJhBEaANKKQKmnsUZawuVWa/T6dK7mG/CjLmXFiNPkFYC8kk19cRgnbJonKSVVKj4tLbV52maYe/+bPXnzWXHCu2iSRQhKGCdHIUPOyEtOitlqWGNyCOo1gx5k3X5ZF6Uq1p1nKMsizZajqmFT3iBmrPxHke+/kuxdnzbeVhodi6xKlxsBdGoqfuycqQTklgKcSxXMijlwQfOjzLYLIhYabyhPy1jRV3iW4tOzm7P31JIqpAr0sU8qbA2iznhZ3aPqS73/zgLvua3LonL34Eq0YJMpWGSZp8iez2ZJ0LMfYSmIyoJcALk2hxWWq0aU2GGnPkZHCAlyXYqWMyXUGtioTyxTs46t6USY9To7FRSOMLc0WIi3PzQJeKdN9fRRaC+JEEISCYejjOLZXWP3h+39j41TL+c/nTp/c5zsm3fpZ2CZdVdRSKykrGxbZ+uA06KtIiVJWsexVr3NXsvh3ZfaoZMXyG79nIxPKHnf+6BS62zooVXCX9+opiqnS3R+cKG9mcJ2QRIZ88DMN/uiLk+D7oGoo5dBQhroy6TgK8gZnt9QapyrHrbxlX1ZKQCVALWKJwnbMLlohSRt/i15IJQ3CaLZvCjm3KHn8WY9YSBAKLRRC2FJaMUY8ZYcrX1WKPErxsymJmhTs610MZYmVSy3KlYBZQd5YvJG9lm8dKfKiqvIePdmGCeVJxEUjxFpLNY4lQejQGyjac7dtmtny+i87R46enux1u29xZES96VaySFJUl9zyXjPVaFhU2GvcIcl1ef7viXV/zpe6MmtX6sBNRXvLHAyFJFEl7a3ynR5KG1EpMyZJskrBjL0jXCfi8HnJR77SwM5fseydd+7LIugujxfOqyLHAk1R/iEH0Bg4dLk2pJgraAPPNKtppO0yV6kWTxy++/UDPnlPgwNnXZAhRkhGiYuTrrL56prtsJpkiZ8MrCXplDYdGDuBJv9sMgWdLN8z1jb2PYxO/XGdBqhjztj4c11Z8bMgvZrdpqTXha6aG0mOj5Lvnx5TncRM9XtvUc7pSQciHKWZaCpUagtlV9la0V+uHxiz+SqB5noXwlpbUI4dhLJ+q9SAp8mE8j4yhQYvtgrMdlZTY+C2E1l1+mjtQKU0KvO7VYySMSqVJ4mK+cwDTQ4cKbS3FNJ633kHDeueQBs8j8UhYyqlYnNl+rvMelqMsZPtfNeJnQmYpfDDyOGqywPe+qo+xz7iEyYKhEMiHIZC4CSpfZcHupmjIkqfwhQhsMl0uUCZrD7EShNjTKrF07swRYpfgJZWr+tMpsgymAtgloFdjuHWAL5EshmAK3+3hJ2MkbPa9jCSrPYSUBHOxhkHB4cLUx5RIoline80XA76K0xMtndKFdx5VFyOjseDzexDw1qQjDP3GGtnP2esnYE9Y+4c6KrM5IXuVlkQmW1xIjWOLIbmK5XguhHHLyj+xyfajKRLNkGr6JpPV5ByDXTpuxUMwNe9VZdvkR/vYmuXcqAp81rxDNyJdogTFz+J+cdv7/Pn9zQ4dt4BFYF2iITLUAhUUgR5shxsjoE88+YN4JR6ag0CaUzuXmQMrlIbURqRs7kW9oLS0v6dMrDLQM/v62ryAvAF3ixTF0qg+ArZtzDGbiQbJdDpGtrLhsgYnE0zMY5JmGwJegOr33Ri8h2x8nO1DjtTBnf6IYo3fhGGX2Mzlv31AthijLWzREoV3LqQKLLK4E7F307BXPG7S3dpWdx1Qrqh5vc+3ebcvA/KSa1BmcoTU/G98+e82Imqbh+4LtDLUiVvPCj3aGYpfJnf82YIqUhih61zAT/y7T1+5UMencgGBMZIAq2sbZhkn8PYtT0XJgXIi//b36j0KjSGlLktq2dsboyVQDmDG3ueTBoUmtKx0Ouc6/H4oJLtHgM75YuhBOw8TDAFwMMIOv2EhZWY2MQ4w1HEYJQQRSavxrPNxCVHvQTm4ioqMzq5o1J8qALUuf/5IgVJuTSRJbbJWduUrMGiyF6JMqBLTO7olNF1Lk2sHNFrpIpScf7oqAjHj/j4XT7v+1ibQLtWngiVy5O8qXi9rC7VYK68dfeLQdwUBFqyCsugz1L2Bq11nt3MU/jabgVec2J+7B19Dp/y+MBnrBYHRSIkI20DTpmQM3hRgJWdrCJ1X7YrLbgLyWJMyuYiqzzM2DzdAFhne4KWSnelKCVvzBptviY5yDoAZx1wj92K5mk7kq9Rk9QbEuf8Yp2VlSGjyEb3uZ9L0UVRWXXXALv0Aal+sPWuxqp1VGLvcndIDvYSuLMtustbBqqy66BLUiUDcYnJZVEdWH2MU987YnkF/vwrDVaCDNwW4K602tsRVXlS+ayZXVbCc0keVhm7xB3lkdmVqr7xrRf1WJ24lCit0NohThwmvIS3v2HAJx9osNRTICPQigirx7MqwwzcVZC8OJPbPFCRFMrqU6SxmtukNSHZRZ/FbjbQtGwu18WBBXu22pd36xsHO6wD9HVWQp1uA+95gtlJxeyUwmk3IByJ/MPJdAka/2fKy0hFprzYEvMir68nTcQYK+YFQ+UajzywLDcYVIPKbDhNAe6kwtoFc2esXbC324i562s1Hn22ji5pb9vUkMmTar1J3prF2PcVY9/9RUk8Zc/cGiskyngzRHnP0cRIlCl88ThxcXTMK64N+daXD/jDz3qgQhASIwSBdlBC2MlhWaApClCPy5XMGjSmaF00mQ7PamdkqVBM2hkv5YpKY4rYRI+d64p0y8BeAXa1PqV4HJN8Y2A36cWkDfSHBm+gcRaWE5ZXE4ahoeYXgr78Ada7ctbTQ+stKWuYvAwMwVhwWe3vK+RIAezCRTGpFjc46YgxmQ6CsXKlDO6kcEykLnZjk9Y98d2IY6clH7qrxcWeZ/e7lnbQuxIUOzaMxQtrv5uoAH6cvddjnTzRU2L28Y278m7ySte93T/HPtrtTzY2E37gW/s88KzPsUsSRAQoNJKRkKVNpCyoMlDnNmb5givzeZ7NTM9Dmc1LYM5qyPMsagnQRpYurLyVrWwvl/pIUwAVBJqB3VQPacr+lI8/diOxmQlpGXyiJYkCmeuqcvZwvYi1clWt93oZ2BWA2w9fbpwobMFS5VteX13af15lPxdMXViEuiRXsudJPjQyY3FHlnS3THBSW9DzIoJE8zt/2ua+J+q2t006VntLabt2RDF/Jf+s2UU4vmqNMXkZ5xW2yZlyzA8vgadaPlsuo7XtZjpzVBJNLB1U7HDHTSE/+q4uP/87HkEsbQZKS+LUVZFalD6bSVmxFGsZ25JG6fPZFka7AmRFWVJa0Ft7MFv57QWQBZgmBV0WjOb14Kk9qCv4yrKuxWcTObjM+qBO/15e4pG20iUJ9Efg9cE5Om/neA8CzYRjKpV6FfuLtQAvLxNr2DxfatbKluLKLuvYYohMGfhWluiCzcfuMrcHiwmoleBSFrLESWdc58GljHG9mK/ud/nkfQ2C0IW6k2vvnL2zALciT9Zh7hKKc7BnLLUOfZcLm/LZfBVwg1FZlWG1VjzREqmtVMmAHscO9UbM2+8Ycvd9Q760X1nbEAlCEgmHIaWg36StZSW5YstRq5rcFl6Zgsll+jnTpojsZy0obMMS0HXlvFNtOythQ4sxHFXGS5SPY9YQUXjkpGO2Aeo1zbYNfTbMOTjhMCYYxgRhgmjZFLHrrGXxMmOXz9J6oC+zvoSSoT8mTco/j7G2kCXHIpMpqpiwpERJe+dA1iXmLgG9NMw9197STold7RvueqDBoQs1K02ELYkVmfYWlCZImTXgziVL/r1F5aT8ZbdstkxmyVXvxbTVtcOBihoVKRVSJ0jtEAUOezdFfOur+zx6wKMTpulXbfV4iCLbB6IK7pIGTz+7wSZ38gsybUbPQY1N+MhUhwtRAN+YcmdR+rtKY8M6geU681LKoC5BPX2SrfwCLW0rnqOsRGnUXOo1D2fTpMI3it6ik2/dkddBrLPMVt997etrNXjxoTNbaDxBkmlvlbsohdYWWXCnMh+8rL91SZboSpCZB5RZIqfsokjbKa9J+J+frfO+T7QwwrG+d4W9KbR3xRpcC/RyrFJhm6/D3uMzHKv6O2Pyta1s2c4HWmt0ItHS+uJKaqLERSrNj71twNHzLu/7pEMUFyDXCAIhUTobJJGCu9zaloNaWB8QQJZfznR4em1KazRKkWry9M8UF7wpPHIK4OeN9Gv097owW/eW/VsqNUcEig6C+WWPRNRwNkwrXKHoTkl837Z4ldl7Ddt8nTfKPk11Hl1Zi4+BWlJMkV3D4GUtno0LW+uYyAzcalyeVPesV+neM1aDR7hexNGLkk/e06Tfd6Gu1rJ3XvNdcnZEkeCpfL+x52si/he55bu7lP1vMi0uKu6JSZsOcqDLDOgSLa0Wl9IhihJazZi33Tng8/fXOXoh1Zx2ODWJEAwt1Oxn1Cm4TQF2k4M6dUvIClPTc505KaL4zFkmM2taLhOcMVklapk40277MbysD+tqgUN2vLKcixQGGUOcGLr9hAuLCREJztyMgysVy/Om0Lpj/37Zsx1/q8r7rxuQmsLQL7F6ucw0c1AKWzAFc/Zz+lrO3KI8mL2kv0vbbciSLJEydUxSJnecmCDS3P1Ik688WbfDwaVrAT7G3rmDkx3EcpA8pr9zJl+HHL4uyMeBXrprbZf/TKaYdCsSq7t1IVO0JBESlUi0UESBwxtuCHnDK4ac+ZxLoK0OzwzqGIeRwDYGk5GSyGwQTDq3T+VgyxyV9FoRlrUtwEXF/zZZUClFrreNMOlzUcFBVXeXJcGLgM2kaSlT/pXJ/76MEsIwYhgIgkjhzG3YthpHwecnWs53YBK7lJR92Wx/ziwIejGglxNjY4/jAacsAbsM9rz2JBvmmAM7A3pRNlp2TqRcq7fLdmCWipfSdupIL+be/R6/+gcTJMYpnBOpEELafYBEkZavMnjZ8Vmfvb+BJGblmK0pPTVFOjxP35NNvUqLsUThqOSaXFpvXGiHONZ4XsK/+cEuh8463PuYRHsihaz9ApFWDEllQ46elMmVGBtOKUpeeJp8I/3jKdClSDGSy5Fs8I8oUvcV40GMEaJZ/3iV8ZZjsNzHWgqJjcF1XJqt5ud379q+qt5yx4b+aDB/zPf0j3rOCNct6qkLe65qH453r2TatDo+oZy8qQ6yzwuoSjXQhe1HNUtZKp7KtHZeUFV2TXIGTwrvu1R3okq9lmeXBb/6oQkeeLJpN+WRXloS6+JIQV2CL0k3uTJra7cr97QBOh+SUx1GlNW8SzXWMF3S9cXPIq/ByTeSFeVjn5JBaQ5g9ucL2Vf6nYHZmRjfMTz6jMfqUI4tNTKfIi5KQC/m3oyj7RtZlkrFuOMxBunFW76Yxx6LsXKlFSyvzymPeIZYG+IEohii2BBGEIQax/U5f3HxBx574vlDztYNfYQUxFHEYBgQJw5RrIhiSZyk/W66lDrO5jOXirHW+Y4VVsuyVYX/XQomSyyez7cbkyZyXHNnLF4BdtlJKQeWaSls+jzxEj706Qk+9bUmpqZAKItO4SCkrPRbOmvY+8XtwcpemC9yPMqENKYoC0DkrF7tth/v8NHp/ECTMrcxuqhRERKpFYlwkMOEt792yAvHXd7zfofQjwuAC4HRLgFp7UwWNWZtbaKoDwesJtdpdjNl94zwi82tS64K9vWK4zSmwfPnpsTi6xC4qVioKdgNJImxVYTagjyIBZ3IbjhmjMBxvSWMEdS8mHZd0+nXGYUuQWhBHolU36V7uWiTBtbpAa98porjMhZoiq8jUUrMUwC7eK7SXQWygLK8Z0xxT0pAL4M7QeY1JwlfesznDz7XZJSkU/BFZg2mWUthKtp73dR8GehQ0eDjgfVfxn6V3Q0YqwtP56aMl9AaWcpsypKzIpQtzJJpcZbUJNrBdzU/+M19Hnra40tPWrsw88aRAm0cgiQNOrEaXGiTOiJZAJqSWpa6F8J646IKcimyCyFrhCiOlxk/Vukqs5YXCs2fXfjZccmqKy2LFwwexIJhJLjUg/ZkwoRnA07nX/2uojtU3LI34B99a4fpCVjpjhFQknqNongDY9KDUVqGygFwdjVWT351dl6hvYuNjIpalOpeMOXnhQ7XBeDHkjoZyPMA04kYBPBLvz/B8XM+xil2S65o70wiVYA9BmjWAXP+/cuB0jjKq6dxPJapZjTLxVdlPb62NiXrTdSyzOIKkWiEcJCh5rKtEf/uhzo89K99eqP0y2iZf65E2r04M3CJ/OOmF54EtEgLr0gtPmEDyiy41AXYhSyswlyDU4C9bDqMH6bSmlEtYyCTKQat7cDNKLHgHoSCi32JcQb8o7etcsf1CSs9gXOxczlB5PPMibM8fewSr7/RZTCyMiVRMi28qi4borTR1HiwOw7y6uguU7l6LZh1oTsrdmHG5IUsUSpj8iq4nYprUtqdN/W8HSciTuC/f7zFkwdr1vOWGXMXzokrqrIke6zW0YxZhBX3pNRM/SJ8vYbJx5yTogGCopjJ2GKmNdWGwjJ4HnRqaUGeSLRI70kqVbTmxn0RP/FdHf7Ln04SJinVQoZGEhSBLgWdMkNVyqipRDHYY5MxuUkZu/DEsa1rGXOXgC5SsK4p66jGs2sCy2zXPrvtCnbLSm0fowQGsWBlqPmmmxf45lsnuPryWYaDGOfnf+qtTE+1uevux/nYlw5x69UJjhoDmSkyWkKQ7rUoctu0aHrKmKxq2lf0d/Y8Y+xSoDTunhQ7epVYW4zpb5mkv0/WuaeBZS3hy4/4fODjLTpDF7zC8yZt0rXOSZG1LILpqg4vatrXmUFYCctE/nMF0uuw9hq8V4BegLzK2tlUWJOCvyxVrI2YSIU02tarxIp2TfPD7xjw+PM+dz+soBFnwtm+uRTEWjKiCDANdgPeHHX5SS1p8BzopmBxkdmDxepnymRhSvHLmANXPihVeWKPRVLS4BkO40TQaox4x2tWuWrft2D81+DVVnE2TtWZmqixa3OLxx7dxEPPJVy3K60ALkXnOvPH06ZSkdmIZu1pWgPwkjTJtrwotHhVqmSpeJGDudh8tJAmyVq/W1mgy1KVoJQx0ok5eNLhf3y0zdEl17bBi5L2TisG3XTWSe5srBdUQpW5KQFbFCeoWN7XuWXsNFaLUrB4kVjJGyFYL41PBezFzsAaLW17m8ikijBWqkSGPdMx//idPU5edDhyTmCcssASIF2SFOT5l0iDSkMZxAWT59UGWCmCMCX2ptLdUymbpQA6jLH42AVfLSOudt8LATWlufmKmKbcyOkLm5nd0iIKwNk4JanVBdftliS3N5ltGoZBQLYXSj5ZKDsG0lSZpRoPlPzvct1BeamvAjxj6op7IqqAzmSJrASV1WROObiUKkHKGM+PudgR/NL723zyqw2Mm6Xjvz57F3Xfa1PyZXCvl9QpM/rYsjZO4qUzuPa1tTUpZR2e1aaYPMNpZJoASjuAZMriVqootNDEicaV1lXpBJKf/g3FpVVh92XPmFwIDA6xkYx06YrMCq0z9k41uZGgtKlocNIuHkMugjIFl5NjEdOMk6GoHqexhuy8Pr50HAXQ8AwrK00+8bU6E1t9bp506PYcZLshaTXrF+emky/eeoNh95YFal6US4/qRbV2B62Ks5ADtVQkJQtWzrZ/rgaLmTtSdkVKu+qKcbckBbeqZiqlTJCpa5LVmoRoPvNgnS8/1khrTVQO7Cp7F7sGl+cNrltMNRYsVYKkNXpk/WV3HOnlE1ik7EUl0VZuI8sclGxeSLYJU3kirR05kaXys9/ZikNhJG98+Yi3vnKAJxKIY9AxmOwxwWhDbGCkIdDC2nBGpLo3fczcjPT1ssNRbKpF5Xf5n8n+XOk1ezf5fZy1zdhxyy8aoB8JXjgfc2FYZ7mffFFI72IQCdR7fu032XrlVatHzyerpxe6fy8ITjDTdokijyhW+UFcQ0XZ1VZi5WzoebUzvroLV95+lgM7q9KrSpHcBsyAr6rAL6oDkzHnxM45SaTm0/fV+b/eN8GJC37axFAkdGzNicCXUMsSOukYuGy2eJHMKUbDWfuwGGOXT7kVIKUk31ZFVAcf2Uldspq4yZy68Xs5oC3XoJdWw+IYpwPhpcnreoo9cspBsCguOG2YbidcdXnEmXnFkdOOtXwrBUg2CDXCbstexBdjy1dxKbP+TRRb7Jjqny5nxdeWD1cBXbFPx9411pKB1mzdtMSPfNdGXn1z7f+ztPzsIy+7/s12j575RQ/fdzh0ZIL7u5t522tqbJqW614xmXEpIK8vKDCfcs8aB2WM8SvAL9yUceck3xc9A7UYrzHRJU1eYm834cSi5AOfaHLomA9NlbsleWInTep4ZfamWun4oh3zZeBkJ15UA8r1yz6Lg7Vesseyth5L+IwFmxQ/Z+l7KUitwbRPspQQEsLkOlyKrCvfIQoM+y6L+cG39XjsWY+TC5mJnWFbpFLJIUYQpHLFavCSFk/rVlRawGRliinKaSFvsjD5jJb0dUNhH2avr5OtLyfCyrJECnsqW9Kwc4vkm26pc9MuH9+4KNdum+gAfNvrrqVer7F/WvDYIxdZ7kiatZC6n1Dp9sgC6bRirLiQTcHvZV1VCSarOlxWXJS0gCoPME0O5sJF0WmRVRXYmTxRwupux0lY7gl+84/a3PNkHWqZHMmAXUgTT9iGhiKgLLp0VAnEa2xBvo5V+HW47MVuZoy61k9lp/Shrfes09mARqT9kGmklwWeQkgSAUIbhNC5bSiEspeR0CQDzWtvDPipd3f5xd+XrGQbBGdZmRzUigiR/5y3u6Ugz/S5SeVdrtdllZVlyWMfT/Bkl37l2IkXOUYUf1cIqHmGmbqi35uhE13HTP06ksB+GQmwY9smrr1m391Nd+VXb7jKZ24ywnN0xd7LGLocRObShAIg1QCyeFRyzBERpgLe8u9zpi5lKwtwJ3lAWTgmRUJnJAy/84km7/94i15UCipFAXQ7uy/dfjsNKtcrgR3PXuZMXaKcKpiLZtlvFOnj3fXjtRprludKwqfY+bfYBsUyt9Ey7wLK2tuyAZ7aZIODHFoO/Og7evzY23vUdQw6sTo81+QR6ARjDJGBQENgUk2eafFMl5e0daa/dVmD56+Xd5ZjjTuiKXzvygSCcTZP71EMi6sxJy4onj248Kvbd1xxd2tyU8Hgm7ds4bGv/Nxg9yZ5wsz0SaIeiXbSA1IMPhy/Vd2D6pbNRUPDuDwxhabMg8gsONW5RCkPm5QVvzsNKstJHRkjVQyu5oUjHn9yd4Nu5KR+t6qAG2F5xK24JaULUpb0bgnsleelR8Z+X2GXbxDpebo+W4LNGGunJ17mjkJ2Tor2NplmNGXmiRuBSCWK1tr69lpZd0VIBBIpFHFkaNUivveNfb74sMdTh6Ud55D5e5Cb3YYSk+csXbB1MSeCympT3pVBpKxqEPlOQZkpM07epnQsK+yd3rSxw36GoWC+q+lEsBpdOvHVH/vFwUfe93MFgwNsu/Jbueza76KvttIPLzHZHuK5cUWiZH2DZc+3DO5qAVUG6sIOzDW3oOSQlCSILAJKuUZjF+DO7UCR5D87rub5Yy4/8atTPHvEx7jlQipVgFvYWu/M9y6swRdJzb+YTBGF/11IkzGEf2MkXk1sMAZys5a9sy24x9m8YOz1GpXL94zFFYlRJIHi+ssj3vvTq1yzZ2RTgyZlc1Nm9ILJR2UmN8KyuLGOSpZlLFaUwjnRlXvWkjc2VXbMMcl/HpM0xkAYC5aGgsTr85Y3buOf/+O38xM/9C358cwBvtTfxijZxsfv2cZXn5R4bkDWiZGliNe5iCrgzrd7kwWYK49yfXBXa07Gfe9yQFkCusjkSYTjJvSM4Lc/2eSpF3wSZcGcM7fMfG+ZS5PKTgjrsXf+PcqgFi/O6Ll0Gwswvw7CzRiwywgvmpALwFeZXawrWUxmC5Ym0+YtbkZWwW6UBbtWiERy41UB/+htfVq2NQZMVJIqSQXkcSpXwnGQZ7ZhBvQxkJfv5bqa7DnrgTz9/rlCKAX/2ghGseYNN/b50W91uWbPRm66ai7/a072ZNOUy9SEd/SGKyaO6d6mPUurAYORZ/v5Mv4eiwhydk/BXTQSm0pgmfvjJXAXcsRUAP3i4C7Jk9LdcRMGCXzgk00++uUmQQZmWdSZZOwtU3Bn7J1JFPVirD3O2Os5ZPkLa52Tb4TD13dSKBIcGYuRKoMxRrfSpZAsWYCZSRWRSxUrU7S2mRah0wwn9jFJDJ4wvPMNAw6ccvjAJ1r0I+wB0yLTFflzgyKuyJWMLrPAM/1SmiKgyaRM6VZWOlnNSbmjLPedSiuiEIBKWzeEITGaINjM6YVNx7Y0m0ejUOf/ftZmx3v+86/zpje/6tjGGXdDZ3V457nzMdp4YydvfCJRlcEq20h/o+CWVXBXs5LapuzHHZM0sHScmH4Ev/+ZJv/p/RNcWvZK3TmZ350GltJWC/oym/Ft8t2BnTwpVd7/p2g4yC8AWd0LcnyLlWz7lWLT2tT/HnttbfNI6WdZvJaPIM7GwpWkX9WVKjk7pVKIQjaOrTDlFUhk64HNPU62E26+OqI7kDx/zCWMxVqE5elbkV+Q9idBORs5XnSWB+Bj13xeT192o8Y+b9k1EdiKC8+Bibpk85Thit072LD5sv9+7vyx37vphpuKC6j8Rp7rM9lufvbEWeepExdqrPYUUZxG6hnDGLFGplh2N1XLsOyypOAW3wC4Zc7S5dT8WnArGSN9w6furfPL729zccW1Q27kuO5WFVvQEcX+Ohl488laGSDWY+6Sz11Jx5d4WpRf/IbEd0HdlQCzoPO8ZCIl9bGsZqFhDUVtSjmlX+y/Kcl2Ua7KFavDs+dRoNg8lfCzP9zhO+4cWB2iM00+nvHUhVwxEGbOSlmLp6tMkbl8EblSXsXGkwTrBPdCgOsIWg3Bvt0N9m73nhJi4rNSNKorRPmH2175Zv7nR+55YDCM9juOglI/pBDrnDNTvSLXDzStWyJKhVRSfn1wV2pNXgTcqqY5es7hD+9qcmHeK8BdKaQqAkundFeiqDnJAJ2zcnpxZgmJnEzWMEvBOPlx+auAey3WSzpUlOrCS0EYVAOyPHUPlYrD9Z6XQV6ZN24HeWqjiEPJ5tmEd39Lnz3bAwit9q4GnOuDPNIQalENOEsgLwee5e+kxy7m8UNaPj5Z40MWyCIckiTaf+bIVx944xteV/nzzvgBvvG6XYBg2DnCZH1Aq5GQjQJI0rJKk1VYrQP68tJngV4wtkjZW1Q0d9kStMwtxqxBG1BmQI9RnubYeYd//95Jvvp4DWqyAHfG3lkevOR5O/koimLZXk9/emQtsQAAL0VJREFUr3kuC3trvUrCskdYvg6qGU/7YgWgJY8XsqGn66SqS2AvWrcy/Z0OrjQizWJWi7IywItUm2dyJH8ujC1/RtnPqq1pkIxiXn/ziF/4iQ4/994Jjl8A3BKxZWJZA9LBIK0mhzwhZLNPtjtIpFnSxGRJQTtumbwylbwq8cUwld2StAY8SgyJTpjrO6jadkSiGb+tAfibvukOhHTCc0fOIoJDSKno9Gv0hx5xyhLZqRwfhphJEkryxDJkKWu5JqA0Feauau4U3KpqB56cd/gP/2OCj97dIBRpVzzlgPJFAssSe8tyCa8wayRJRQ9CRZaUY8x1X1vnVmH6MZbKl+XS4xpZAiUZI/IfMtYzJk2hCwsc63unzRcluWKELC4MI9NMp30TC+58AiG+Y3jXNw1JNPzcf5/k1LywIM/AbUqALoFcpK8JLDkARc23KRNAtSo1i0fH0V0mlcxt6Y4Ey0MwOmHbrllecftrwyhK/nKAz8xOg5z412dOb7r62aPmtb1+n91zDkbXiBN7MGU2wKV04GUJCMWI3iL1Xjgmmc1XTeTICrhTNk997swSdJyEU/OKf/PfJvj4lxqEMm39F+NVgk4uTWwbmlm3ebjcsTMOdlkG7thzXkyejFPNX/GWW4G5k1Ji93UAr41l8NxRGdfoqRcuDPmelFpn6RaZElV1R2QhbL+jS8z3vmmIo+BnfmuSUwse+TUw7pZIJ00GZV+ksEhEKRkk0mlZGdhzzS1Kj7BmRc0rCIyg1Uq47PJVGp7Hq27d9LXdO7f960tL3TXHcg3AhZrkPe//QteYLYf+6OOXvUZEK+pdd3rs3a5w07nbBrvUa20xlVOOyA5OEemv8cHHJEoB5nL9SZJKm0yaxEiVcH5Z8rPvneDjdzcIVQncY6ydSZMisBzzvSvsvbY0dtzTLsuNMpbzY1ai5mpXz/9TZK9Tc1HSKibNdtgGCJECO81w5r6yyFsKC2kiEKWsp8jvtoaczDo0BmEkGJVLlRiDQ8I7v2lInAh++rcmubCcHoVcoqQ/lyzEKAW9kIVEESaVP6nE1Yb8s+X2Z0nOlWVh5lgpBU1fcPlOh7e/1mHzRi/ZtNM9NJj/aHfTxnf95QAHmx2Khv2feN01zVtH/dGNaJfBUNOsm+LqwlpS/7/2vjzOkqq+93vOqeXut/ee6Z6efXoWZgGGQWZhQATBNaiISSTJE2MwLk9M1Gg0BvPUp0ZxSTQuUaM8EgnwNCwagQiyiIDggxmHWRlmhunZe7vdt++9VXXO++PUqXOqbvVMzzDDgOb3+XRX3aq6de+t+tbvfM9vNZ0VTfxbaWrFxYkBasINQOt9lCjN7Rvg5ghs4J9vL+CWu/LN4KaGQ4cwDe7QU6nMgWkeyziIzdS6hAUlAfrk0KkZuDzoeBS5GXMSYVokAd3M3bUbX/dNU60AJZAR5+FhVgLhin/LbSodzGwvSMDCybUAAsBCgDe/soqtz1r47HeLmm/HQK7XpZ1c6T0SlYcjVESaW1VoiBS9cldGDEArHtWu0WJA1gV44OKJzdMwt9a2odhRe1e5lEm9tjRt48euuQTLZvBg3bkLxOweFx0tAhmHS88RB4JABcwQzQuB+JAeDfcGRaFpPDwZSBXEl4yD2AJ3/yKLm+7OoU7TrCVWTHPTUHPHkogj0Ma5t7KcRP12gFSQw9iuf2t8x4mwE3GMjdzQ3joZOSSBxvWPOX+4PnZy06FpRdGeTREzH5rBWRROIPCWS6p4xeoJkEB5N5V1JTQlRi5+Dh5aVeoiTJYQgB8uuWlZ4YYZ2vj5OpFG+x8EBxoNYHDEw54DBMJeIB7fVAyctjenXt9UDQ4A689fA9+r3VRg2/uLzu48FxSDIy7qHo2qwMo2FuGEhyCaXKqgqgjI5Bjud9ZsKaFUdmWgFnDHQ1l86B/KeHqnC7gq5NUIgTUydAghUUe0pFkw7rUUCUALbSVBnI6YFzsZTajEPM7cdjTMN3kxRSozCZO7SbSlKT4lKtcgIj4ebyYVhtCGDyWn0rvJiWoeJa0qnOtPJhQA15UJlVZdOtfD9deO4IMU+PFDudBVmEZXEE08G2HfTMKJvs5UWX5EpMG5kB3dzPyDeEU0abE8MAL4hzlWFYvj/YvPuimXzU56jdlkO/7+81/AKy9b90SNu2+/57HN5cMjNsDd8Osh0sbxfjkcZoqaKrNmpqgxZnLvuPvd1N6MBaAOcNuDGXzkq2VsetaV0YEsHvoaAzshsMOya1GNk9CWz4g0E1JzW7I0WtrrpPeSEIPekFDz647NyptJjNfE8GSqY6kyPSbMlrFmuOq8RnUoTZniXuP4n3K2IXLApVmHIh9ktG5YyGKPrfGwcoGu9gAr+n3sOUCx9VnrKKYlvWOyJq7mPMjstsdCOmJRWaXKsQhci6KYJ5g708PiecO46Pzl+6vVw3+0Yvl53mQ4nlSDA0ChbRnqQ6P49eYNaMn4WDaHobOVIJeVveEjN21TWpou1hOjI0x7KE0nTpMzxwpALAnuv/5qGb95JgR3k4cyDm5KNe828yvTrCXxmO9metVER5LgSOyPwYGYIDmK+iaTbDeDjoCQigiDlxtxKzFtLhLbE1pchBpbJZQrTh5aWZRpD+E9DQ3s2uSnvmPDx9I5Hj797lEIAHc+aHgPlQY34lYAmXHUCLW2nMDK7hJBuKShedOwgEYPKSPSa5l1KTpaLZwxF5g3qw3LVy2Cmykf7Sqnc3AlM2f01TvKmXdefuGC8VldNgJBUPcIAh8QXD/j2mqSzK1MK2Ucd78nwU1ZAFjAjx/O4CP/WMZvdroStTRJR8zXIbgN3h31tExMKlMz5ZFYNy7u5EBWmk8rLCTeOyVJOHwigKoXSEYdqq7IJNqnJ52KlxvZP7FwWhpPkjBDayMXfrO3UwidLBFwBh5YCBoUy+Z4+Ox7RvGqNVXNx80QWyOJGYLrCEQjiVl5PAPDfW8mWANyBGMUcGwCShh27nWx+9DS8eHRwjutbF/9aJf3qBrcxghftnjWY6UcGd25c2eeq4I/xk3VGrs5+z1mClSTSRI0afAkuP/zlxl88Msh53aoEe5qcm+1boJbcq54KKwK+kqPGIybNJPANzo0h/BNAtoEeZNKngLK45NMEtsS8XKi+bZS/aaDJGZNEQhNgiSq0x2BHCJy+nAhQm9iaA+nSsvHNbn6VpQi8mSbmnzJbA9//75RCBDc/XAWkavF5OTG0qcUdTRrckKkDZ9ygYBKLs7DUQhCBZvJZSZDcebKtaPFlpmPHdg/3uy+NOSoGrylrQOFQunwyFjjigULl3ie52uwmCWOozLHiUqvyXJqNJDlHhIhryycVAoG/OxXLv7ii2U8veso4DZoCaGIXPE2ETFKYtY4kUAVES2J6Ak0oCPAmpo5bjZJ1dYxPJPm7ckNSTd82s60DKqYtQQG6FXlg+i9zSlt5mRT8KQ2T9HcgjZZWuRxYXCW0uYNisUzPXzx2hFcuGoCzAzMMjW5UK95VI4i0uScwOcEfqDLsUUlJ1T8ikqK4D6WL1/mZRz/ilK5dLizs/2oCuSoAM84DnY+uwvz587au2Lpomfa24qwWADH5nAsDtsKYFuB0f9d94KPl3KIl1bToPa15raBex5z8d7Pt2DrLlfOMKKY7gS4KYusGYwkXPFUg3tSaoJjaG8gFuqZRl+0P0BRlUm09RSpSsxdn9ieBLwq4yFSaIrZRNYc6pO9NxU1MXtvCjPikFPo7soqGItGCRIRVQks8AZF/0wP//iBEbzi3AmwICUoi+sMIRGCfCKsudLggBcYYA9UrIn8a/hAwxeoN3zYbh7Tevqf6eyevffg/ufALPfEAQ4AjDFs3/KrXa4dvGPZGQuQsX1kXQ7XCeDYEuy27UugWwrYcc3NWBAVw4xArWJLHAnu/3osg2uvb8HW3WG6WZQBz9LBHdYicRAvecyQkiVPkM67U8BrMo2YZoc+IGZKNCnKZKp9qgg3wB0BXmj7RpN5EAngGzZys74hN3m5EVWYFpQV8fJIY2vABxHoDZCrKMQ6Rf8MD1/6ixG8fFUVNAjrGguTi3vQWUEa5DUuy1I0AoJGEC79cOkBDU+g3hAYG/fQM2MuRiqNd9zzs4d3EXpM+B6dgwPArJl9qNeqcNzsvu2b2QPe2KbzXWsYGVfAtf0Q5H7U7El3EU6WUuNRaQflobTdALsHKR5+MovrvlnE1l0uhEoUnhTcNCqI6ZAEuE3NHavtLWKaW4NdxIDeBF7zIUjq6FQQiyadQTA53pNe+akdQwCjdkosG59IlEvaaj4QIkwH09Vdo/gVICyjHIY60TAGg8rtVBWk5ObvUvvlr4u+m+djYZ+Hr7x/BH/7TYFHnsxg9xFH3ihVNJ/oLy4og0coBEiY5iZb5fAoAVtEFqSGH6C3q4j58xc8sP78Nfuq1Qnk8zkcS9gxjwDwyU9+Cu98+2WD2VyuUshVr0RjGzKugGMHcG3ZTNWxZLk02/JDoKuuCmZBel19ynYDbBuw8OlvlvDlmwrYfdAJNXeSlpg5lYbmDmmJijVhJv+m2vYdr7KlXb5R700CnfBAzdckbmOmcfs3iY43bd6IbONmNk/SJp4MIIrmA4Y3NWkrj+YOTRNlEkXtmSNSapJ0NMKI+NwCyf2JxzLGy4x94dBlljwiHOhsC3DByjqmTQ+webuFwSFqtGgLH1e1hHzIfBD4Iu4dVw+oHxCMjPtYu/psLFow+wObtux6cMmiOVOB7rE1uJLOrhlgTvmxjDX4Iwe7Lh8bfgaWRUJ64oeANrJxiAAlQRQhKNdDWpLxsX3Awie+UcKtd+dQE5Zh5zYrUMXt3EnNrZOH4+COB1CJhNaOm/6UEy42sURz7EnUhSzJxRMYIGm4OJoY9nARex2aA5UFRc8h4y5tZTEM3xezeRMdmBWzkydBBGkdkxqbS49mqMGj30Igm63GNDmJffeISnlAd2uAq15VhWsLfOJrZewYcAFXGFqch/dWtnMWRGrzgBPUKIHLCXJcIMcFwH0sP2MBzli66EeL+uc9dmhwdKqwnTrArUwfGtWdu4qd6953ZP9TjLL9r3PtEWQyDdjMA2MBCAlCQPAQVDxc195Ky+bYMWDjuq+XcOt/5VAjlq7XHaMiZny31IqqCqwdgptNAu5kUkNz6Gs8lzFtmQQriKGnEshNWgNJ08rR8W2CW5CU7cn3RAgPTYHQJkLlso9VpDXNhdCaUQVxqQ56AFJATuQKIbIyFeVhQgMic7H5Q1Xct1cjcO0AV1w0AXDgum+U8cw+G7DCqCrOJLhVDFHYUoWDgBMKn1poBAy+BfS1ZDFrWsvtl7/qZe/b9szA7uX9vScf4ADg5ObgyMCDu8tdqzdaOPA6l+xGxm3I1nxEFqhUs3JEQAozdAgHywg8u18lK+RRJ0ymmqW63VUAlbZzRzmVUwR3c+pc86SSJkAdAdnU4GnA1uo+DdpNciLzziSgFWgNi6BGGok/JALKc6mBzUNmIDl4+CauaTcIDO6tQK45ueA0ArWAtFtHiQAIrTphfJKgBPCAjBXgyksmAAL8zVdL2LXPlpqcCH1TjGGAcIBZcvThxMFQzcbLls7E6y45e+Nd9zyy+/cuO++4rt1xARwAcsXpENbczxatR+be/1jLW67/wQRGxhhaCw28+w0VnLuojnIB4IEcN1U0YUMQPPKki3+6NY+b78mjQZjMxDFrl5gaHDTis7bBudmxwB3eIxXU0xTnkMjeMdFn0pQYKBO0I8FET7o0a+1Y15pYYq6eUOrJpZzHye5PJjVR7n+u0tugnUhAqJgNepIEuVwY2pzw6PswyHsFnjBz+oBt+bjyFVWAA1+7NY9fb3ZRD4QeYgEgAFoKAVYtmcC7Lq+inAOOjFL82/1z0N3Tc9MlF5z92Q2bdx/3tTyheyTGvgPkC7l1f7Dhp5u2D62r1Dl4fQJt7gje+poRfPztFbQVObgvH9AqJ7jhjjw+/vUihscseFBBUwknDtWam4T8OqpCRXTfeBYmBUetvomeUMbCYI2Jo2k5Sd0XTTS1fT1qXxIGVKlSyfp4AlUuWU9MjeOMUhGxbUZ0XPRgRtuMchVMxCfFVD/Mpgc5ZjViZq0Zsx0MoijP5H5ivFZ5mvp9PHrdFI6RDHtmQRjjr8rs+VF0qMUC+ERgZJzhY18v4sY78hgPQo3kA62lAB//0wquuqyKop3BeLWAWsOFR7oe/MAP3nZpf/dA9dPvf8NxY3VKVpSkfOLT/4H1F3/Uu+CcRVcd3LNzTtCoQ1CBobEGNmxhqNYJzlniI18Exn2K792Wx0e/XsRgxQY3i/JQCyBm/RIJbhoC26WabytaYiUcOiYtaQK32hYBuTmTx6zHrUCq1zWtUcAn4WTXjIrT79HRglEzKpK2LT7hjVtHSNN2YkyEdXElRa3M1tj6WMS2mUXlSNNIZaq65KimxiplUCWJ7YAaARJjmlDH620MAvksx9oVHo6METy91YJXA9paA/z128ZwzRvHULAJDg2VsPdABwbHZmP6vKu2v+4869uvu+SiE4Hq8VMUJatWzAXn/NE3XrZy9dO/+Xm2tWMvrv83H/sPWPj6zXlwTnDlaybwyydtfPKbRQxXLFmIm6aUVVNVX6lOVnBi8dwJ7ySSdm4FgElajhi3yLwVMYtHaD1J3icSu/sp9z55zuO5iCZ3hmFFSYk0jMeJG318zGMUbSHhZC9BUbRVRVteRPibhdAUhSj2QRC16CbgYV8eeS+E+oPcb848BaBjUJK/wA/QVgzwv66pwGHAI0/aePOra7jmTVXkHY6BAxR/f2MR09q6cOlFayayxf5HicpcPgE5YYCXSiWMVqoffc1l68X8advePzK2JZPNZgHKUK0JbNhmgfwkgx/8JIPB0TBghFAALNTaZis/o1cOTXHeqCEbzTQj0sYQKdowDnYkgN8EzOQ2U6tNhlzS/DpWQnmKkuamn/xgJMyCIfeGYQYMrSlEceyQpxMo3h1qXwiAE3AqQEObtM4+C3uhQkSVaiGoLGRPhCyCD0RAl+sqEpIANAy9IkIqMAEQwcEDgfYyx4euHse//WcGyxd4yGc44FFUqjaeeJpi5YoZtTn9a7/kONbHbOfYDp3J5IQBDgClYo4/s+nm6wKr3fuPR5Z/eLA66ICOY/WyMXzizyuY3i7wxAYH+4cQdtdVY76pwSW4HQq4RMiyahHfTne7N8VyGwV8koH0sXgTxIdyE/gKq2na2dwXjQLNyj4OwJMwA1Xdj5vO13TuEMUKvWG5AxPIXIiw0gMJT6mdLAQClFOIMNudC03tIFROskyyEIRDNnYVoNFoYNRioUqT6y+p68gLCCJj0DmArc9RfPXfc5jezpFzOFYvBvKsiL98W3fjwFjL52780QOfes/bLj9qtOCx5HkBHACu/3erUSrN+cxIBY2z5jz1dytftY/+wctHcfbiBmABr72ohl9vcTAaQGtxZRKkDDQEd4YaXJvGowLTgB2LDGzalwicQgLYSXgk+Eoq0AVw/Bzk5EpEUyKKIcEsEg+AtqaIaLu2gYvwXMQ4o9T9MnVNXyMR0RUiJ6iATFIOr78QMlteavB4wSFG9bcmhIEQLsEd8vhKg+COn2Ww8zkLzw4wvPcLLl53vo+LzpzGLzhrzt+19LRcH4yNNN7zPK/ZCU0yTXn0vpvwP//8Lf7COd2Da5e577xw8Q56xhwPPPAACMydFeDICMWGrS6CqCimbAZFKYVLgSwVcEPebTNJ1VUVqsjCEE0KzXiTRMQgTQE3OQZ1gXow0tPDkhM/vW5sMyegCff8VCaZ0Wclv3+4jtj3TU/3QnIfABARG3HMqMf446yXJAzUIuEDFHknoUYDfbwM6iLRhFIfA0jHjfxgnV4nQGgAn3HccGce//iDAqoBBXMY9h5pwTMDZaxdtY5Pm7bw2t17xcD0eemJxMcjz1uDA8DyxTPRQOe2PMm9y+W1f7r/qR/Tb93p4upXjeHSdXX88avHcdejWTx7OBNNLAmVmjtLBRwa9sqh8Swc3SfHKCMw2TJ1XcQ1eOKWInF80m9zAlT6pEhavLg4xrFKH2u3vuo/rRMkIp1NdMht0lvEw/cppxAJd0UcPwJsWHYCQvJ3IWTPIMpDLylHNFaQsLMED0AIwd4DDN+/s4B9hzO4eN0E/uSyEXzttixWLb2Ad3ctflfv3NnbqtsOnZRreVIAvnDhUhwY2NHomr7q2zff9mTu9p8t+eK9j+/D762xUKuMY9nCGtaf3cCe/yQICA1LGRNkqUCGhbybJqIBTW5tAC8JRgXCeGWtxEORwrmb2MZRwHwaWYnWpk07AAO/iX0hdYFJQkxObziOTNQbn0cUPQnPTyKtjgjYkfIRAlzZxwUBFRRCcAgWRPeAEgEmpN37/iccbNiSA3IFFAoMaxZ66P4fLRjHxF+uX7fq209v2hYsOeOMk3L9TgrAAaC7Zx427dgfrDrnyh02+3VlSfc9xWklC0OjFootHlwbIIQB1AYjFDkmkGUCDtMlHkzbNjWBaEwCkXjdvC6atbkBgAjYxwD0pPElx9z4AogJaqLNi6TpidX2QKNeangKY3JBEicJhwFhXEf5zOiT6Brg8QpmUpPzsKSI/sKEcDBmQXCGukcRwEE+n8P+vS5u/tlsvPHySysLFi/f4df3BkvO6D9pl+qkARwA8tkcestjt3desPLdi/r4l4YGftzWaAyjOkFxpGJDMAeUWsgygRwTyDDAYUa3BdNhE96jJuNBAuzmMbFyCUiZYCa/cMoDED/5S0eS5nMBRMFX8rlXWl0B3/yxhgVGURq9J/HwaGCr12rEVAX4KSHgTEUokuj9jHLwwEZbMUA2KxAIgfZSGQuXvmKwu3fltZu3jt++qL9wUq/LSQX4rJ4SAKA6PnrDnIWrrXJx4rNZf3/nTx8dxd1PtIA7LnIMKFiSmrhWqL1p3BtpamBziG2+pVqSgG+iJ8ZBSU6OxLFTFoGmh/Bky/F8n8iWTjQ4I5Aav1doTxDiJpgkuJOxvOZ5SHwgUVSRyoazAeewmM4kksqEozrh4sKzqjj/7BE8tbMXb3j9RYcuvWTtX9Xr3g2LF04/6dfvpAJcSS5fAvcGvzt95jr6xBO/+d/futPv9PwiCo6FgsWRC8HtMG010W2/EzcDemUqTpA0fm7ue74Tx1Q6LJ7/eaf0OVN4TxMlNzEaamgSw7NRuVaZFtVniUl+VHQvSPIjtBOOEpniJoJEjilBxgH+7DV1bB7sPfTaV53/keHx4Ls9HeWTewFDOSUABwBqt+G6r/yfb/vBtMDzl32hI7evzaIcjEhwZywBx5IFhBTATQCa9bKFsYzdOEyi4SeZlJr7myTpSSTNu+MAOknenBRJY0x6xBGpHzvZCBR9yyZbeajFQ5AjZh+Pf0Q8w99MliCx+6TpCpcBZkxEHd8iT73PMDbu4NylXYMXtuBDpPHP/5Lrfu8puY7ASbCDH03u+8n/xfkXv+Wp3q7intYMXrl7/7DrWBRZWyBrA64tQe7YgMUILEbAogi8FAsIElYQtW4ggJDmYTM2GU0zKdLw1pD0/TADrHA0m/ipsYOnrhvXh6VcKySvmfl7kuvQF5PEHicSAlovuSAyKSFMQFbNggNOo6KsfpigrFoaArKqLGMCQgQI2OIKdee9u+5lb+yYdc2UohNOVE6ZBlfSlhW8c1ruJoIef2Ccfe+Z7c9mWrIUGUcgEwJb3SClqWUdDNWsSETbkn1qADSN26nWD/Ompn1JczJmbj6ako5c4cCxaxOcmKS1+4r/hnDKaBhCjPQBfT1ihhLdmUMo93vKdYxd3lgmkFlzBZGG5lF7bvnpFDIBxrI4uCBgVCDrVtHa0Ver8+l/WpnoudVmleflhp+KnFINDgB3/fhWdJ39JkHKnZsLNja1ZNnr6+ODVilPkXUpXIfAsSjsEOhKg2vNEx8yYxaRpFaexLRHkgBv0tCmFk4bNbR2V9rZfE9MY4OAnIAGNwt/kqQmn+x1cmlqbpL06MZ/N4zr20ThlIhEw1norm2qZxPnBH5A4fsUDZ/C80m09AJdaoLAR1vnzFqx3H1VT0/uhznnUNDbf/Wpht+pBzgAPH7vLbjowteIAXbW5rN7Rre0lazX1CdG7ZxLkXUZXIfAtgiY0uapLLSZZ6tl86DabFUBJge4AnGTvZwYIGiiJZqu0OgBOLF4cNPlHitERBOhBbEsfxPchokOxuvEg5oOcOBoVzCWy8l112vOEYJbArzhyb+6R1D3KOoeRcMjEvAeUGyZXc0Ve/9k9hn5W/fvCXj77GteCOi9MAAHgAfuuQXv/YO1sBp7NnVPn7HTdejF3J/IZDMUjs1gWxSMSe4tIDsOmP0TU80UMbWe/rkx0KZwcr2dROtpXDUqzxDj4ZNx8OMDeFrCQ6ychbmeyEJKHhs7HzWAnTI3meyyAogsJbpfkFpKcAdGoSDfp6g3KCYaBLU6Ra1BUGsQTNQE/ICio7N3pKW155oHfnnkJoe0YuGZV71QsHvhAA4Ad95+K9545Z9gZl/Xxva2toHZM6etp6KaA6+DMQbLomCUwPcFGp5AwNHsfVOgT2ghcxhOancl8UlVM9CVpjYnrtrhZGbOxIEdARPHCXCaBnCjzEVEV5LJ0+Yx8a7HWusbvU1jABdHBXiyUhaUqzRWhllVwJL3JAgIJuoUlXGgWieYaAiMVDxYTgGLliw/0tE57VpfFG7s6WJYd9Hvv5CQO/WTzKS84+1/DAAYqwx/nzHL2rKp4zOPP3Zf587nqijmLTgWUPOA0cMCtmXkpfKokFKUbGvepKjUrro5KZrJnIwl/Rzq5guj3w1R50mN9zBOgkmOOUFJcmL94OrgsZjPIEZFtIVankfEn/lUrp0S3GVoEfP6qiasPKw0a1GBTMHHoRGOfUcIbIvCYgJgOaw6d+2hC9av/rDned9vb2s9ORfnOOUUzf+PLYViCzJZfGfFynM/svTMtYcoy6GUbWDpvAoK5Qr2DEoHhMUA2wp7TqkLnDLjT04yCRA9CGn288Rqos623q9vbLwRVOwkp9DQ1cTCjNEl+t2Ia3GzrXrsYSEidl5iPJuxnxMLi5WiRgoBaQb0fMm/CQF6O8cxVBvGhmdrODJUQ3dHAa++7OWH1qxZ+5GGR75zusANnAYNbgohBew/NP7tvjnn+RdfnPli5eDPWx17HzbussEYiar6U0pQrXHUGhx+YGScGDc5WW44CUKT1jR5bRKBF6qui5oPxHhoqLmFMUQ04ftEAE+aXyYngwq8miqZJTCa2zfGqZiInSt+H4zrpVzrhneWGuGxfkDg+RTjEzRqVRNwgiWzR3DXryjcQh9Wr71w6JxVZ33QssT3CMmfQgQdW04rwAFgWmcevu/f0FI6e3DPlmfn7R0sfm7Hrk323PYA5byFUt6C61KMjvt47ogPzgWs0MUf45ZEU5CoM1n4GdE9NYGeBkID5BGgiQquM3yYse3mCZ5HcEqqjx1xMMOwcRjApmngnhKwRQTokAXq6xS59WWpCZtxMIsj4/jYuZdieEyaef2AYOCQi7ldNt76e2d6ldHyhxYtPnMHF5k7CXFeOCBNIqcd4ABgWRafGH309v4zVznDvzpUfccVHV/buW0jybkBbS0xTGsLYDtjeHiHQHUii7YsYLN4WK3KCufhxDQ57AIpQIfeIYTka8pZojqQxftRxmk3Uj7jZAhJAXpkh6cKwKq+ibKgiPBa6GVsFDDORkyqopw+kAWDlLNGlW6mVJZ7sBhHKV/DWK2CX2zqhEOy6Gq1MFGnoLTMZ807V7y8d9Z79lRm/sumZ55prF151inFzFTlRQFwAMiWzsWGp55utLXMumH5InpfZyl488TY4U8yvhezptexYNYRbD5E8N3bcmjLiKgLFyUkZlYEmnlyGtdUEnVAhO6VzgFZPg8w6v0pHm7W3sbJRbYpJj2JRimtjeN1YLQdPEZdUuJWSHKdqIdW0y45iZRl2iiXSSggQNZt4F/vDXDvRopFXT4C30dnZx+KbdM+XmiZf3NbR++e9pZaY/qMFwe4gRcRwAFg2fLFADBx10/v2JrvWPGZWT3bHQT0oyR4mnFRx3gtC4vK2JWMLZsSEQIEAdAIwabaXURaO6QdEchTABllsSC0UCAcCajU4lG4dEqogICKsT4BSSQumJLUvs2UxKhOFYKbGsA2J6Lm54nY+fVxulShtHU3fOmplJSPwLYZAk6QdTnqPAAcGzNmzw66pk3/1NrzFn7m8af2BJcvXn26oDOpvKgAruSVl74Wv/rFbcE5a978t9t3H7Kf+vWdbxra8VDfHT8PsmU3QClLUMozOJYsMFlrCPhcatiAyz4vQHwSaoqaRJlYj2pBmkM6V2AhRqGcuDY/UTHjXKJYkEkmgGl/Zom3eDk2ebJm+7b+DfFzi+g6BUTG/gScoN6gqDVkhwfXlhqjkHVx5ctHse1ACW++5Jz6Ky664Av53PS//f6NP8Qfv/UNLzhOpiIvSoADwDlrXo/tz42AUvYxamX+pn32W7/a23Pf0p5c42W2GLFaihYcm6HhcYyM+Zio+/ACoOZJdzIlYXY+iw/TGqDN7EKBXIS8NtrGhXbuNM8sm6XJXhlbiX2X9BfNR0pFa2rveH1CXT9Q28Lj79YTSvNhiprzRhRFQmKiTjFUoah7gM0oKuME2XyP39mVf/jD77yCd3QseXjnbvujQhwBIUdvBHU65UULcACYP6MMhJP7m2657Z3vvfLcYr1W/ebI4MCVfu0gteg4qnULzzxHsfsgwcAIQT0gyNlAxuKgtjyPmozyJhqjQUcMq4UgkoObXgJFYSjRFCUl1i+yv5uUh6RQhUh7G5xhMsOOqWmjAptGhzvKuObhqrOx+XFCmj4DoYOlqMqEp7JTh2P5yDgBPN+CH1A8u8/B7v0+RioNtLfmsWjBHJ4tz7xlNMj/WX14qNK9uHS64TEleVED3JS3XPF6PLdnd8V2Mu8dPLxv+9ChR5eOjh24fOOmvaDMRR0C1K3Cq1McGMuhq0DgWHIy6oTlEIMg/OO656MWHVWnKmkxZcAgchJLiWELP4qziUSoNMCdGEUATVOSzVxVxjtJOS9RRZFirdN5zLpiMhF1joBQBFzA5xR+QOVIYMsRwbU9tJfHUanVUOcMjBE0GhTjE2Po6p2LcrHrR+esWrVxxoyeL09M1CqzZ8863XCYsrxkAA4AM/pmAsBhITb+DXDRrKc27sZQddflA4NbcPn5R9BR9lHzq/jKba0YHSmhJSsTKrKujFKs1oHRCdmWTiQ4txkTrVKuBBXaPEeMTryJiWVSS2vtnTbTCz9P0SED3NEXEc0jhLaYALrxrjTfMcajcsfm+aP3UQHGOQixMTbBUK0xSWsA5DI+sq6HgcFx/MN/FDE+nkE5K3BOv43XXroGnT0LfxRkFl1bCcZ2dXd3n24IHLe8pACuhJClqAwP7Vo0t/uDvtd6w4zeBe87dGDj+oy/AwtmbMXPN1Tw00eKsBmQcwnKBYZshoLzADU0sHefgywTyFgyXU6aGWWEnDw/YHEBwZSzQ9fxbjJBGsu0UsYqKCsp0VyAJF4fY4SgRHeUtpjsVcosmQoY2bQ5QSDkl2WMw7F92JaHnfsc7NqfQxBYyGXkTDyf9ZDLePj5JoofP9SCC5Z1YP3quTh76eL7s7nil1vbFj7Fubers7PzdN/2E5KXJMABoNjSCgDbhRDbAWz81x8G05ecseIbOfbI/AtW3Mse2uDBYQzlvIW2so22MkN/XxX9g0fwqRtbwZ0s3JC7ciEbkDaCcIJKZX1yDkgNzoXm8Kr8qsEBkmCWNcR1bewmPa7s9cpBFRrgiZDcX4cGaKoSTS6p8gEI2BaHbQfSy8gCUCogOIEXMAShBcQiAq7jIZ8bwY8eacGBvT7m9RC0lRkIAUp5isFRjod+U8KbXr06+P2LF25fNHvimu6Za/cB2HoilXJfTPKSBbiS8AZsHR8b2grhX0oDv/eSS192y8PbHimR0YF8e9lDdztDS5GjoyXA8v4a7nlyBI8+nYFtCeRdgbpPcGiCYKQuz+dQIGcB2RBglBBYVMj0OcNGoWiIGRJLKQnrnOuQWhPhySoNkXs87A/PiZGehxSaoiwnofZ2LNmn1LY9WCwABTBey6Ay7qLhMxAiJ5EPbwLu+GUOc0ocpWwDDc+GHxB0tJbhFHrGr7nqlaM799Er+hf07aUW2/VSB7aSlzzAleQLrRAi2AWs3VMMKmdcfUXmvJwtvjU+vM0fPrStbXR0pGhbAdpKHlqKHhiAggu0lxh6OoGldAQPPuVj+8ECxpmLhqAQ4KBEhgVI716zoyiWkUNVuxIz/huGJ1K+x+T7EGEYsDAATrXFR3+Q+Tlhy3QrgGN7yLgNZNw6XLuO3Yc47n3CRlDPoreDgrQJCE4xOCJQGSbwCgAhFqxse2XewgWDy1f2W4V88I7u4pxfLl7UMiI4eLnw2wFu4LcI4ABACAMAvnfvwNDieT0/HR2t9P/i7n+vX/lHn/vAszt+9Ucl6/95mfzBRflMLmMhQN4FejosrFhAcN6yBt53xT5c9/0ibnuwHaN+ASLLYBHZCM5hKmZDfZbpLiegTCZrsLAyAEmAWq5qhEdcnhjhAOHxJJBJunpSC/2P6MmlY/vIunWUChOwWBV3/AL4+Pe6IYI2rJ5PwAMG17HQ8IBMJo/p5Uyte1r35nVr59sXnv+yG65+1199/sJ1n3XdXLHm1+u8vfTbA2wlv1UAV9Lb2wPI0b+6b2A3KLM+Ryn73NyFfcx2F3zt/POs/mr9yLoCDrLpnQJdbVXYdg00E+CTVx9BzvLx4EYPe0ZaMc4YspaIaEOMT4daWmltxmhU+kKFCDTHnCecMFwFQAEsTO2nBFHGTNSaO0S/oikWk9o7m6nh4PAEHtzE8LnvFzBRBercw2DFwtCYiwZvBctNC5Yunf7gVX/YsnVkZOJdjLEgl8vghm99QfT29VVP9/06lfLb98geQ/YdHIbruq2HDh/+9H33/swh3r7g7MUTZx8aG155xwODeOsFhzGnp4r7n2Z431d7MTbeht6iQEuWo5gRyLkErg3YloxXdx0K16HIOAyuQ8PkaQnIIIgnZ8gJpYi1KxFcIAi3UQY4lqw0kHGArCvgOgKuzWFbAhmHI5f1Ucw1UMrX0FqqYGxiGH/1Tznc+UQr+rs43nNlgI17Z2N0pPz4/E7+xHkrZ7E1a9c3CuXWvw4ajSHLffF6HU+F/FZq8KPJ9K4WABgC8OcAsGPrD5Gxsf7xR+gr58/HFXZ5dKFb3o81ZzyKxX3AA09xjIx7cAlH0WWwmHSEmEIJgWURCUxXpnHVPYogkMBVdV+CkMMHXOVPEghC4PsB6h4HowTCBRhlEKEXVgZ5EQQB4AUyX1UEdVBU4dgNDOzLYsveuXjLZWfiZQszuHidteWSPL/l0Q3td9k2v//SSy893Zf8tMrvHMCTMq//DQBw/+jI0P0AHuA8mGdhPz98cA9funD6nGVL531464496C1TNCr7UasOgwgiA7x8S4LXpbAYkHU5SnkhbczCw8YdFjgslHIUtg3UG0CtztHwOGyLIpuhIAiwc18D4EDGIQi4NANmHNmI1bECBIGP6gQFqwlkMi1o6exDqTAKp6UP7RN7PjNthrvzmt9fS/tntVLHzuwA8NM/fO1Lw5V+quV3jqJMVXY/dxCFnNvy5LZ963/y4G/QlSPevJ7c+xkVlwgIjFV93H3f43BIFe1lB+UiQ2erQEd5DMXMGNpb9+P6GzuQc0uY38fQ2eJjcJTgyW0cQxUfHSUL8/psFPMVfOHmCXQWCpjW5mBGVxZtZRvlAkVHS4CZPQ7ap5+DumdLE6aNu9uKg1/MZ8ftTGklmDv7fvDacCb/0vMyvhDyO6/BJ5OZM7oAYBjAbQAwsG8/AGzmPOiGAK+MN/DQo1sgvAYcx4ZtUwjR8FasWHad1xh7bcad5s1f2IrWXB6LZgvMnj6GQ8ME+xoZ0GGBOV0U/bMstJTHsOZcH22Fst3aWrzj4M4nrrOsrM0sBtsCisUc+mYtgS8cAIRSyg4A2Nne+d+Anor8N8CnKD3TpwHAzvAvVcYP3wUC/Nng4JEygSU62otozWXQ1sbR3iH7tBRb8mgQoLWVoFy2UG5xMatXoJQrke6eaSOz58w+cPWb1iTO/MHT/fNfsvL/AQ7ZCBRyN1USAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjUwOjEzKzAwOjAw8h+tcwAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1MDoxMyswMDowMINCFc8AAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 31137223
{'hecke_orbit_code': 9007749044109424, 'n': 1, 'trace_an': 2}
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id: 31137224
{'hecke_orbit_code': 9007749044109424, 'n': 2, 'trace_an': 0}
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id: 31137225
{'hecke_orbit_code': 9007749044109424, 'n': 3, 'trace_an': 3}
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id: 31137226
{'hecke_orbit_code': 9007749044109424, 'n': 4, 'trace_an': 0}
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id: 31137227
{'hecke_orbit_code': 9007749044109424, 'n': 5, 'trace_an': 1}
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id: 31137228
{'hecke_orbit_code': 9007749044109424, 'n': 6, 'trace_an': 0}
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id: 31137229
{'hecke_orbit_code': 9007749044109424, 'n': 7, 'trace_an': -4}
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id: 31137230
{'hecke_orbit_code': 9007749044109424, 'n': 8, 'trace_an': 0}
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id: 31137231
{'hecke_orbit_code': 9007749044109424, 'n': 9, 'trace_an': -6}
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id: 31137232
{'hecke_orbit_code': 9007749044109424, 'n': 10, 'trace_an': 0}
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id: 31137233
{'hecke_orbit_code': 9007749044109424, 'n': 11, 'trace_an': -1}
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id: 31137234
{'hecke_orbit_code': 9007749044109424, 'n': 12, 'trace_an': 0}
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id: 31137235
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id: 31137438
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id: 31137439
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id: 31137444
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id: 31137445
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id: 31137446
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id: 31137447
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id: 31137448
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id: 31137449
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id: 31137450
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id: 31137451
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id: 31137452
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id: 31137453
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id: 31137454
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id: 31137455
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id: 31137456
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id: 31137457
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id: 31137458
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id: 31137459
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id: 31137460
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id: 31137461
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id: 31137462
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id: 31137463
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id: 31137464
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id: 31137465
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id: 31137466
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id: 31137467
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id: 31137468
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id: 31137469
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id: 31137470
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id: 31137471
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id: 31137472
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id: 31137473
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id: 31137474
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id: 31137475
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id: 31137476
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id: 31137477
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id: 31137478
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id: 31137479
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id: 31137480
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