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mf_newforms • Show schema
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{'Nk2': 3024, 'analytic_conductor': 11.151360991084976, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 7, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [3, 2]], 'cm_discs': [], 'conrey_index': 109, 'dim': 14, 'field_disc': -183690162289009018170939067394643, 'field_disc_factorization': [[-1, 1], [3, 9], [2729633, 2], [35391017, 2]], 'field_poly': [254016, 471744, 1006128, 275616, 551772, 172746, 221349, 27750, 20545, 854, 1346, 23, 44, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'has_non_self_twist': 1, 'hecke_cutters': [[2, [254016, 471744, 1006128, 275616, 551772, 172746, 221349, 27750, 20545, 854, 1346, 23, 44, -1, 1]], [13, [86896171316, 7969485833, -167423118, -26760399, -620994, -354, 124, 1]]], 'hecke_orbit': 7, 'hecke_orbit_code': 27021872709238973, 'hecke_ring_generator_nbound': 7, 'hecke_ring_index': 6561, 'hecke_ring_index_factorization': [[3, 8]], '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': True, 'label': '189.4.e.g', 'level': 189, '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': [3, 7], 'level_radical': 21, 'minimal_twist': '189.4.e.f', 'prim_orbit_index': 3, 'qexp_display': 'q+\\beta _{1}q^{2}+(\\beta _{1}+\\beta _{2}-4\\beta _{5}+\\beta _{9})q^{4}+\\cdots', 'related_objects': [], 'relative_dim': 7, 'rm_discs': [], 'sato_tate_group': '3.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '189.4.e', 'trace_display': [1, 0, -1, 20], 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mf_hecke_nf • Show schema
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{'an': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, -4, 0, 0, 0, 1, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 1, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, -1, -1, 0, 0, 2, 0, 0, -1, 0, 0, 1, 0, 0], [-11, 0, 4, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [2, -2, -2, 3, 0, -5, 3, -2, -2, 0, 0, 4, 2, 2], [-1, -3, -3, -2, 0, 15, -2, 0, 1, 0, 0, -1, -1, -1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-15, 0, 2, 0, 0, -2, 2, 3, -2, 0, 2, 2, 0, 2], [12, -3, -5, 2, -1, -6, 2, -4, -1, 2, -1, 3, 3, 0], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-18, -12, 0, 0, -1, 18, 0, 1, 0, 1, 0, 2, -1, 1], [4, -3, -3, 0, 0, -1, 3, 0, -4, -4, 3, 4, 4, 1], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-26, -11, 0, 0, 2, 23, 3, 0, -3, -2, -3, -3, 0, 0], [24, 0, -3, 7, -3, -5, 5, -9, 3, 0, 5, 5, 8, 5], [0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [36, 0, 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275616, 551772, 172746, 221349, 27750, 20545, 854, 1346, 23, 44, -1, 1], 'hecke_orbit_code': 27021872709238973, 'hecke_ring_character_values': [[29, [1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0]], [136, [-1, 0, 0, 0, 0, 1, 0, 0, 0, 0, 0, 0, 0, 0]]], 'hecke_ring_cyclotomic_generator': 0, 'hecke_ring_denominators': [1, 1, 72672625881267800515920, 72672625881267800515920, 72672625881267800515920, 508708381168874603611440, 508708381168874603611440, 339138920779249735740960, 1017416762337749207222880, 101741676233774920722288, 1017416762337749207222880, 254354190584437301805720, 508708381168874603611440, 1017416762337749207222880], 'hecke_ring_inverse_denominators': [1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1, 1], 'hecke_ring_inverse_numerators': [[1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0, 0], [0, 1, 1, 0, 0, -12, 0, 0, 0, 1, 0, 0, 0, 0], [-11, 0, 20, -1, 1, 0, 0, 0, 0, 0, 0, 0, 0, 0], [-242, -36, 0, 0, 23, 242, 0, 1, 0, -23, 0, 2, -1, 1], [7, -445, -445, 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28299596264343192842460, 533509641497788234826454, 168959285113396280409081, 242435736114996919940451, 29831655668022207064673, 22650148690784080368371, 932424963489386296272, 1499239272376236554295, 25956093051083097279, 49048454594772593925, -1098220002196530734, 1122405221285935513], [-151634115198718359793488, 10175271138507223039700232, -101339842447458744881940, 878929167204372983099742, -110231006285582285020407, 392751365519539208620143, 20202310279386702905969, 37565552597257274634023, -635359506475557433584, 2613428869590578789175, -23939185674236505933, 88433071241684333205, -3727537766578014602, 2045781899713165309], [-7021942626775286677920768, -2593178912566558800556128, -5419707710667771462442920, -1707438894569011663554708, -2575547869801197526046082, -791213015285569381004667, -289045164051386066644126, -60392029960707240254047, -16220387883236909423994, -4007021393313158629170, -530558121161619016713, -117014204368024372200, -7203563520624871877, 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47869410249743648518670, 1131692614222411043231, 1573711104078775681940, -31994237870822240281, 36584533505283765397], [-742329174155107762832112, 7746894686707004703008268, -552420063880752537792540, 4185077983227115304971698, -218889890364544164221328, 1866970694222456365863747, 82524177653675181815496, 188337476463722852167477, -4050916727390361265456, 12511791838234115320460, -185618042321941263307, 424682705356542091640, -18654933007643345443, 9368321844795477541], [-20493335910010359841368336, -24091359366607891939574496, -15773777237836645828731720, -12962820287434431278685816, -7472579831896103245722429, -4955823262072307980764099, -963112878010510321900597, -432557843858831477448749, -42743750110246751820338, -28178849414416216089215, -1319011904096999698391, -894361152045150317555, 2795109761782199936, -21049398563957379327], [-18748417766656815858356064, -38332375731633038893222464, -14052924908851408110806760, -26654079036549678482573244, -6503055305421576432934656, -10127224453694779667736441, -1083845759612645148733468, -957648442465118303442401, -24364934481680548957622, -62277453684521348826620, -494861196284468985959, -2055269535023719846250, 59286086789569118519, -45831542345574856173]], 'hecke_ring_power_basis': False, 'hecke_ring_rank': 14, 'label': '189.4.e.g', 'level': 189, 'maxp': 997, 'weight': 4}
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mf_newspaces • Show schema
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{'Nk2': 3024, 'analytic_conductor': 11.151360991084976, 'char_conductor': 7, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 5, 'char_orbit_label': 'e', 'char_order': 3, 'char_parity': 1, 'char_values': [189, 3, [29, 136], [3, 2]], 'conrey_index': 109, 'cusp_dim': 132, 'dim': 64, 'eis_dim': 24, 'eis_new_dim': 0, 'hecke_cutter_primes': [2, 13], 'hecke_orbit_code': 274945015997, 'hecke_orbit_dims': [2, 2, 2, 2, 12, 14, 14, 16], 'label': '189.4.e', 'level': 189, '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': [3, 7], 'level_radical': 21, 'mf_dim': 156, 'mf_new_dim': 64, 'num_forms': 8, 'prim_orbit_index': 3, 'relative_dim': 32, 'sturm_bound': 96, 'trace_bound': 13, 'trace_display': [0, 0, 0, -20], 'traces': [64, 0, 0, -128, 0, 0, -20, 0, 0, -12, 0, 0, -172, 0, 0, -272, 0, 0, -178, 0, 0, 156, 0, 0, -710, 0, 0, 454, 0, 0, -244, 0, 0, -744, 0, 0, 38, 0, 0, 390, 0, 0, 1460, 0, 0, -894, 0, 0, 1432, 0, 0, 686, 0, 0, -120, 0, 0, -3780, 0, 0, 392, 0, 0, 940, 0, 0, 2156, 0, 0, -9018, 0, 0, 2558, 0, 0, 11168, 0, 0, 2216, 0, 0, 4326, 0, 0, -3456, 0, 0, -3312, 0, 0, 932, 0, 0, -5118, 0, 0, -5116, 0, 0, -3716, 0, 0, -2584, 0, 0, 16560, 0, 0, -2896, 0, 0, 13120, 0, 0, 4356, 0, 0, 1668, 0, 0, -7430, 0, 0, -12904, 0, 0, -112, 0, 0, -7002, 0, 0, -14764, 0, 0, 12756, 0, 0, 8576, 0, 0, 12102, 0, 0, 1374, 0, 0, -6028, 0, 0, -1744, 0, 0, 12708, 0, 0, -3916, 0, 0, -14880, 0, 0, -5290, 0, 0, -4620, 0, 0, 26916, 0, 0, -20446, 0, 0, 22834, 0, 0, -3180, 0, 0, -10852, 0, 0, -16122, 0, 0, -15276, 0, 0, -40596, 0, 0, 5504, 0, 0, -35786, 0, 0, 10586, 0, 0, -12, 0, 0, 17088, 0, 0, 29060, 0, 0, -31852, 0, 0, 15000, 0, 0, 25952, 0, 0, -11610, 0, 0, 11120, 0, 0, 2388, 0, 0, 8624, 0, 0, 109500, 0, 0, -5532, 0, 0, 35118, 0, 0, -9448, 0, 0, -60712, 0, 0, 1708, 0, 0, -52722, 0, 0, -66984, 0, 0, -1040, 0, 0, -54484, 0, 0, 20826, 0, 0, -3444, 0, 0, 19988, 0, 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124208, 0, 0, 67418, 0, 0, 5286, 0, 0, 407468, 0, 0, -167148, 0, 0, 392474, 0, 0, 179052, 0, 0, -11248, 0, 0, 237738, 0, 0, -114828, 0, 0, 427428, 0, 0, 206152, 0, 0, 195114, 0, 0, -146988, 0, 0, 501564, 0, 0, 105006, 0, 0, 86540, 0, 0, 104372, 0, 0, -91428, 0, 0, -131260, 0, 0, 213296, 0, 0, -442200, 0, 0, -34446, 0, 0, 46458, 0, 0, -103604, 0, 0, -144850, 0, 0, 108768, 0, 0, -35764, 0, 0, -930300], 'weight': 4, 'weight_parity': 1}
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mf_twists_nf • Show schema
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id: 155312
{'conductor': 3, 'degree': 1, 'multiplicity': 1, 'order': 2, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '189.4.e.f', 'target_level': 189, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '3.b', 'twisting_char_orbit': 2, 'weight': 4}
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id: 155313
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 6, 'target_is_minimal': True, 'target_label': '189.4.e.f', 'target_level': 189, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 155314
{'conductor': 1, 'degree': 1, 'multiplicity': 1, 'order': 1, 'parity': 1, 'self_twist_disc': 1, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '189.4.e.g', 'target_level': 189, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '1.a', 'twisting_char_orbit': 1, 'weight': 4}
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id: 155315
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 5, 'target_dim': 14, 'target_hecke_orbit': 7, 'target_is_minimal': True, 'target_label': '189.4.e.g', 'target_level': 189, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 155316
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 34, 'target_is_minimal': False, 'target_label': '1323.4.a.bh', 'target_level': 1323, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '7.d', 'twisting_char_orbit': 4, 'weight': 4}
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id: 155317
{'conductor': 7, 'degree': 2, 'multiplicity': 1, 'order': 3, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 35, 'target_is_minimal': False, 'target_label': '1323.4.a.bi', 'target_level': 1323, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '7.c', 'twisting_char_orbit': 3, 'weight': 4}
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id: 155318
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': -1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 36, 'target_is_minimal': False, 'target_label': '1323.4.a.bj', 'target_level': 1323, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '21.h', 'twisting_char_orbit': 8, 'weight': 4}
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id: 155319
{'conductor': 21, 'degree': 2, 'multiplicity': 1, 'order': 6, 'parity': 1, 'self_twist_disc': 0, 'source_char_orbit': 5, 'source_dim': 14, 'source_hecke_orbit': 7, 'source_is_minimal': True, 'source_label': '189.4.e.g', 'source_level': 189, 'target_char_orbit': 1, 'target_dim': 7, 'target_hecke_orbit': 37, 'target_is_minimal': False, 'target_label': '1323.4.a.bk', 'target_level': 1323, 'twist_class_label': '189.4.e.f', 'twist_class_level': 189, 'twisting_char_label': '21.g', 'twisting_char_orbit': 7, 'weight': 4}
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mf_hecke_charpolys • Show schema
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id: 474325
{'charpoly_factorization': [[[254016, 471744, 1006128, 275616, 551772, 172746, 221349, 27750, 20545, 854, 1346, 23, 44, -1, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 2}
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id: 474326
{'charpoly_factorization': [[[0, 1], 14]], 'hecke_orbit_code': 27021872709238973, 'p': 3}
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id: 474327
{'charpoly_factorization': [[[356440542214689, -91499971417803, 28910290258755, -2849994831510, 621044743779, -41159533185, 9688762047, -313448376, 61576195, -708095, 285512, -1253, 632, 1, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 5}
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id: 474328
{'charpoly_factorization': [[[558545864083284007, -32568271958208980, -109193914728689, -79559718831348, 5004654340140, 467546773218, -23582792471, -173401592, -68754497, 3974082, 124020, -5748, -23, -20, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 7}
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id: 474329
{'charpoly_factorization': [[[874194960578052096, 796901862829153536, 758224186385350041, -24046348926580560, 3286614759120054, -116616360652092, 9959673680499, -328904532702, 15999701908, -418358570, 15720563, -349382, 8519, -98, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 11}
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id: 474330
{'charpoly_factorization': [[[86896171316, 7969485833, -167423118, -26760399, -620994, -354, 124, 1], 2]], 'hecke_orbit_code': 27021872709238973, 'p': 13}
-
id: 474331
{'charpoly_factorization': [[[1407601495912491921924, 1008082117821470327334, 856843355060035430985, -102684554145196245180, 10724617315046867175, -324309731058237960, 9283614261654177, -105016089069180, 2021003108406, -11370157596, 386911917, -555048, 22116, -30, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 17}
-
id: 474332
{'charpoly_factorization': [[[8677822365633190592672656, 2783975828941377671018084, 818795138268766779345817, 23910209194005916719672, 659540584194672808644, 8130031106996027340, 131513408833877341, 1163986326352430, 17035943539858, 112396889832, 1172511741, 5522310, 51835, 182, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 19}
-
id: 474333
{'charpoly_factorization': [[[401139825417330536995547076, 24668056230659641791616014, 1478112241417787981738889, 27080035711303049614152, 766479847702880619675, 226141999970723316, 319312922712339123, -110108036706498, 27976539592512, -18025643772, 1814413311, -648288, 49350, 6, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 23}
-
id: 474334
{'charpoly_factorization': [[[495493458583509, 21480878894157, 223113131424, -972098196, -20832587, -39343, 323, 1], 2]], 'hecke_orbit_code': 27021872709238973, 'p': 29}
-
id: 474335
{'charpoly_factorization': [[[144165686360154526525847386176, 6900091150179805329282919848, 219914712723925864978107417, 4310449383925452769863408, 64861668999684185349915, 687965835041688821484, 5968708083162402991, 37498722629825312, 228257422987408, 1030828525592, 6050311225, 16987856, 84814, 26, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 31}
-
id: 474336
{'charpoly_factorization': [[[1367453952819651649255765056, 71235537882574589042122296, 3674250784182420341386929, 80623369870406543950938, 2321299550196859702959, 31105453927386339918, 938760515456802499, 7736407263957650, 165121995292300, -556861569730, 11580274639, -2427316, 121294, -112, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 37}
-
id: 474337
{'charpoly_factorization': [[[6874920774882, 578724800247, -424000933668, -1385987883, 46349114, -80524, -524, 1], 2]], 'hecke_orbit_code': 27021872709238973, 'p': 41}
-
id: 474338
{'charpoly_factorization': [[[-765727707363728, -139036808236205, -400885499022, 9487645502, 13085018, -203307, -8, 1], 2]], 'hecke_orbit_code': 27021872709238973, 'p': 43}
-
id: 474339
{'charpoly_factorization': [[[486033890392992850131228320145636, -17563496439932714994799055560074, 491886476181599777546409206937, -4962603729578796726736044060, 40853158532327238730984242, -201333241759579381559754, 978287625493926086115, -3331119682815031530, 13505338998983916, -34853777818272, 104194492155, -144341640, 359391, -288, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 47}
-
id: 474340
{'charpoly_factorization': [[[1122573878363564146064678338815129, 20463661973281493129373764061885, 728171852480353989544361027868, -9177265146652883968319109333, 86338124775487688098484106, -497612928233885159780361, 2516701735474486967547, -10215556403798872440, 38885286197769201, -123004114648407, 341579798199, -726120108, 1233453, -1353, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 53}
-
id: 474341
{'charpoly_factorization': [[[3241012125099923700905963933868521025, -20061412981360888799319306413391855, 178122579244257420920141455108491, -367346971545909235681389689322, 2810759055687144675474274629, -4201800716049500910186927, 32009782471810111121229, -20214010241333396568, 161274319826545089, -89100691042185, 573316009884, -143685513, 890058, -165, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 59}
-
id: 474342
{'charpoly_factorization': [[[2197732154941140198245619715152196, 31162391783105886121294767297950, 1063641415432417989310874209033, -13257105816655571546000815080, 141438874421441631601349061, -734512999576672279122102, 3399723698450554597786, -9068051680610415616, 27879186949901197, -47848853755074, 159687971346, -153304308, 462073, 56, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 61}
-
id: 474343
{'charpoly_factorization': [[[9149307141476817679978382909534106302500, -6684298958725676318457613462970647450, 70839850996384007366022674357449081, -66349629803323780833886128282552, 370916913695885243080926756045, -339973816317660924146089128, 1121755190856503709800365, -952480151821475242084, 2404208392629688942, -1763247561342348, 3087641611407, -1604168028, 2450668, -988, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 67}
-
id: 474344
{'charpoly_factorization': [[[-2320896909561707358, 42399066274827957, 356173753478832, 425799505134, -1163137212, -1504683, 792, 1], 2]], 'hecke_orbit_code': 27021872709238973, 'p': 71}
-
id: 474345
{'charpoly_factorization': [[[15589151007088359999725547906143360025, 174642098840051816504752757187927705, 1568160378538850883427261184647071, 6473724070753841732562214034802, 25469536942546597596176412057, 60204027317701023906184365, 190023161675646050351437, 374472976428360079760, 865768016319874825, 1093925354026247, 1777848644200, 1682047043, 2409322, 1487, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 73}
-
id: 474346
{'charpoly_factorization': [[[64326412187091006373846173038055772415161, 44224197201034785350287625430236277635, 585236274310360450883673324252971668, -870080867317895681484367849552115, 3742635093019632959780581435640, -3913049808067335362349445661, 8243403742584554206406631, -7041385371473819699820, 11754328738765283907, -7932513815686487, 9074615116043, -3874804970, 3996715, -1273, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 79}
-
id: 474347
{'charpoly_factorization': [[[-869380105751863812, 33166368722361213, -250118437396608, 297423437166, 1242938466, -1298115, -1170, 1], 2]], 'hecke_orbit_code': 27021872709238973, 'p': 83}
-
id: 474348
{'charpoly_factorization': [[[16234588262468360197842271284283213613796, -32898951256211793377522116108307587458, 320882681372147666874464657904070821, 1769847902869511884250815659810, 4109849035983868023320466862071, -2804108637862589049262393020, 9163418948511085417761426, -4984049906008014483798, 12630321955659790819, -6628083461080988, 9635212064498, -3070696094, 4018163, -1058, 1], 1]], 'hecke_orbit_code': 27021872709238973, 'p': 89}
-
id: 474349
{'charpoly_factorization': [[[432264615889873507200, 1368223916256512064, -444894254004480, -4611369051008, -2761686248, 3206772, 3730, 1], 2]], 'hecke_orbit_code': 27021872709238973, 'p': 97}
-
mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 5, 'hecke_orbit': 7, 'label': '189.4.e.g', 'level': 189, 'portrait': 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9ykYXYiYbkd0O4LBrHHSk+wacKw1DKcuqCoeD6bpmHbXMjGmQEbZoZsmhmybaNlxybFFds9qqrO8VNNHn3R5+lDMc+fjEhUh3fc3uI9r7FU1QyHTk5y/Jzm7ELCfAruIxctN121yC9+/wrbZyc4tzDJhZUKSy2P5ZZktZPQ6ia0+3Dg2EWOnW1d8cKxi687dHZl15FzK1++7S3fHT70pT/5VkPiL/T4K83gZy6ssLGp6IbmVx5/5uhrfum3PyffdN2x1/yD7zitVzvTrLSbLLWqXFz1WWppllqC5VbCcitiaTVhfhWOLgnmZlf5Zz+4xM17a5y+MM25hTrnLmouLFnmL8acWUxY6MRMTg947TVdXn05+LJKoAIuLFc4f1EzvyzoDSGODRXfUK8kTE3EGODkfEy7Czs3etSrQ6wVIHy6fcOOTUOWVjVYJ0VWuzCMwWJZboVs3eDR6SuEsggzpFnx2LF5wGpPcPKcJjGamaakUREEHsSxoDeUzC9Lzi9ZLqzEBMEAvJhbr+zymqsEc80qSytNTl8IOHcRLlyMubAcc3YZji5ZbrzyIv/8B1fYNNnk1Pw080tVFld8LrYky6sJK+2I5XbCcsew2JGc7wiWV3v8m38Qx3/rtqlHmlt+wFQalz/S6wf/eG6uhRB/dete/soy+B/+yae5/dZX8Xf/3j/85Y984qv/x0c//rVLXzyxuuvg2Y583TUtLtmSECcaY1TK3BKsBCQgEMKihcWXcG6pyuNHJNfsWeby7QNqFfC0xPcUvq+pVyU1T9Lrehw8UeErT/ucXBjSjiMOnh6ycWaZd752hWsu7XDj5S1OXIy52BPUggHHzlla7TpXXyJZHSTsP6Fo1DQvnYTLtlgGYcIg8dE6YqoBB04HKJ3gyRjtQX8oufnyHv2e5JpLE9r9hJPnGuzepKjXQlaHlg2TPVa6bT5+Lzx7POH54wN2blni2n1tpqZD3n5rh+96vWXPpgZJNMnxsxMcPeNxet5wZiHizELC0QXBqdWI6/Yu8s9+sMPGyUlOz09zYanG4qrPUkuy0kpodSJWuwmrHctKT7DQUyy3Y266fIG/97cWZM1Ldi0tnNgtROuW2Y2bq0pv+uqjD/45v/uhP/pWQ2bdx19JBv/kp/6Uq/ZuU48+ffj/ef7g+f/7wSdPqE4vohNpzvUtV++Y5zd+coHr99S5sDTFUqvGcqvCcstjua1Z6cBKK2GlHbPcibnYgtMrAl0dcNtVy3z360N2b6iz2m2ysFxlcdnnYkuw3HISYaVjaPcN7aGlN4iZaUbs2GgAQeBZzix4CBmwc4Ni9xbLlg09LqwMee5wg1ddZqlVV3jxyDSNekgYesxMGfoDuGLHgD+6d5J922OGQ8vshCRK+jQqAS+dGFD16ly/N+b5YyEXlny2zgTs3gw7NoUoFXHmIvieRQjLzo0xUw1Jpx/Q7Xm0ex7LbcXyKiy1DMuthIuthPkWLA0Sdmzt8t1vuMhtl2sqXpPzF5tcXKlwcVWz3BastAyrnYiVjgP3Uhfmu4oLqzE375vn135yicu21llabdLre1gRMODKJGLHL+Pv+uciPp/c8eZ3fauhs+bxVwrgq4vP4AeVanf19I677z/x/pcPzv/LFw+cot2XdIeC9kCw2Jec68TceMk8v/6Ty1x7SZWFlUmWVuustCsstz1W2pqVNrQ6htVOzEonZrltudASnOtaEF3ec3uLt99suGRzhTCssdKqsNr1aXUUK11BpycYDC1hbEkSUNISeFANLJNNy4bpCO0NOHo+5IUjASau89ZbQrS3ylP7J9i1Gb74eMztVwcstPpUtCJOIqanII48tBeztFTjtTe0+eLXG+zeDE8eHuJR486bDbHo88LRhONnKmjps3FKM1UXVAOB7wuUgNhAGFkGIXR6ltWuodMzrPYMS11LP0nYua3H21/d4j2vCcE0WFqdYGG56vR2W7PSItXcMaudhNWuZbkL5zuKxXbCjXsv8IGfXODKnVUurkzS6lbp9H06XY/FFYX0t2O9Db+gJ/Z84oq9O071+/3+a2+68lsNpfzxVwbgR44cZmJqs3/29As/fOHsgd9+8cX94sipUHa6Me1eQmdg6QwEq30H8vPtiJsvW+DXfmyJGy6tcHE1A3nAasdnpaNZ7QhaHUurm7DaiWl1DStdy0JHcL5lmJrs8W03drj18pidGxXNqke7UyHwJKAIY4kxAmOhNwCEYaox4PBZi7Eh9zxZZ9irculWn9uu6RGZVR54epLrL/M4PN+ltdLk1df0+OpTARunLftPWv63d7fZfyJg47TkK08rbrtCsdxrc+z0NNfvDXnghT7xsMatV/rs2T6gH3e5+ykFieDoGU2zptECen2JsYLEWKIYkAbtG1pdS70RsX3zkNdc0ePbXhUzU69wYXmCpdUqK213blbaglYXWp2YVjem1U1o9SzLPcl8R3CxE3PLvkV++ccWuXZ3hcXVCVqdGu1eQKfn0e5pVtN/Z7HtmSuvvtped9Xen776in2/f27+Qrhnz2XfakgBf0UA3usncjjsv/ORh7546WAQfuDBh57wAl8RJ9Dtx3T6Cb2+oTuwtAeCVl+w0Jecb8XcesUCv/Jji7xqj89qe4LFlQatboXVjs9qV9PqKFo96HQt7V5Mu5vQ7RtaPctiV7DYhSgZcu1lfTZNJ3R7lre9esiuTYY4kWhpCSO4/7kKpxYqbJ6KefFoBUyNy7cpbthnCCo9njrcY/Finat21WlOrvD15z1uuqzCUm+VlZUmmzZZHt+v+Ntv7PLEfs22DR4Xuy1Wlqe54YoeX38xYbo6yVWXdllotXj85Umqus6N+yx7dwxAdnnuuGDDdMSFxYgHnvMYRAopITGWXZtDvu3VIZ2uYsuU4YbLIAxrLLdqLLcCVrse7Z6i1ZW0u9DuJbS7CZ1eQrtnWO1ZlvuSs21Bqz/ktr2L/PMfXeHGy9zN0epU6fQC2n2PTk/T6Sk6PelcoGGCpwyXX3VjJIT3j979rm8/UqlWPy+kNt9qbH3LM5nWrpIkqz948sizv3Fx/vD06vIym2Y9hpFgGFkSozA2vROFQQiLFBYlLUpqnji0kX/8e5p337bM97xxmd1bQ+aXmgR+lWrgUws86lVNpypp9D0m6preIKHbT9g4NPSHls4gYHmxwpnTljA2nJ2PCQILCHxl0VLQ6ysEHnFPc90uwZ4tlh1bewyTDl96QnHgyBRveVXADVes8NEvWXxRY9fWHs9/XbF1UjHb7FFRVcLIY6ED9Ypm20bBswdCbthb5fXXX+QjX+jjew3efIvFC3p87fGQLz5W5+XjVS7ZUmPX5oS5qZDdsxFX70pQyqCVBSy1IGBuMiCMPDo9nxcPu/KEXl/RHUi6fegOLN2e++6dfkK3b2n3Lat9WOwpLqxYahMtfuati3zHbUOuvaTO+YtNWt0KnZS5O31Fd6Do9iW9oWAYuhWk04Ov3f+4Nzsz+xvV5obl61518z88eaH/kZ0bq//zAvz8Qp/5i+JHz5388q8MF78y7WNo1AKklOhQIKUA64weAQgBUrhOGgfwBF9Knj88xzOH6hw+t8C7X9PlNVcOmGw0WW7VqLcrNPs+3Z5OL46kP9D0hprB0DIIDWFkiSJLnLgjjH2sAakEnhZUfMFkQzDVgE2zhm0be8xOtfjyU/DgMx7STPCWV3lcd3mHh1+OCAdNbrtO0Or3WViqc+tew+xkj6oOGMSKxXaEMoLr9mpqjSFPH6zwuhsmePW1HZ4+qMBO8KorfX7kHct89dmQrzxRZ/+pCjvmFJumq0w1akw0oBqApy1KgrGw/7ggSQRRLAhjGEa47zhM6A8Ng6GhNzD0hoZuH9pDWOxKFjowNAPedP0y73xNi+97syGOm8xfrNPuVuj0fbp9j25f0ekregPhjvT8DYZJ+m8nnLlwlscOfWn6Z3T4/77nra/X1nZ/T4j6/3wAN+EqQpkfOfjyw7+yfPruDZPVVWYmJ2h1EgdkCUJIBAIhFEIIpCQFNyhl0criKUPVE1zsVfnYvdv42jNtbr96le9/0ypX7+4yM1ljabVGpx/Q63spsJU7QsEwkkSxII7dUu9qt1xQqTVUfKhVDdONiK0besR0OXw24uMPVDh2us5kUOWmKzW3XtPm8UMt7nm0yS2XVdixuccf3StQIqDZiFjtDjEWlIC5Zo92x8fEVd55+wIf+2KNPRcqvP2WHmG0xAMvzBAlFW6+cgNvv6nNZdtbfO3pHs+frvHccZ9t05LppqAWCHzP3YRSgBAWY8EYSxSnN2tkGUYpEEPoh9AZCFaGguUOCD3g+n2rfP+3rXL7lQkzzSor7VouSboDj26/WAl6Q0l/gAN3Cmx3A1l6A0s/UpxdaPGRP/7qhqQvfuWO199uz55f/dDWzZP/cwD85Isf5N9+ehP/8aP3/FCzvvSBS6ZenJ2ut0iMR+AlVCsCi2Nrx9giPSRKaqRMUEqky7PBU5ZAW6pasDJQLLWm+OT9dR57sctt167y/W9e5fo9LWaSKnEc0BtU6PY9+kNNGCmiWBInksQIjBUuCyosgW+oVWICP8T3hpxdGvKFJyVHzvgcPzOFMgF7NvtcsVvxqsvbqGCRF4422DpZ46pLYNPcCsvtJldvlcTG8uUnAoY9yWQ95s6bB3z+gYhT8w32XepxfnXAS8c8tm+c4trdizz8fIevvyQYhj6X757m8u0Bl2/rcPT8MkfOwhMHahw+VqemBYGW1ANLxUtJAbDW3axxAmEMYSJyF6odQWhijB1w42Vtvv/b2tx+dcLm6YDBYIKlVoVON6A78On1Nd2BSovVBP2BpD90faMO3An90K0Mg9DSDy3DSFDRkv2HO/zBn96zYaJ67AOXbJmJ7Xk+yiYrOgNss/o/LvT7Hwrw/+MDv8+Oq57jJ0LzfQvz5/9dt3NkcqYeIoRHGCX4XkzNCFyiJpUjUiKlTEGtUEqglUGrBE8LfG3wPUvgWWp+wmRF0Bl6rLSn+PSDTe59bsDGqR7vf0OLy7cPGPS7XLXbsn2TYhh5JEmR5hdYpDR4OuHkBcvxecFq3/C5h2ucvTiFDT2mKootM5qdmzSXbIWr9rQx8iIf/Hyd5eUJbrlcc9WeFl97TiBijw1Tknotphf5yDQZpbRPayC4sCy40tZ4w6s6PPJ0lS2zPrdcNc3ffcdFfv+LHZ44WKc78FhabbB7S5V9m3vcvLfDd76uw7nlZT73cMBSL+DkeY+zZ308JZDSrXrGWhIDkbEksWFqJuKaK3sMhxGXbx/y3jcM2TChmG4ERFGF84sVen2f3tCtcv0c2NKBeygYDBmRJIMwYRBahim4e6HL0kaJILKSZw73+Fe/8+zspdu3/Prf/aH9v3D7Jn7EmuGD/yMx9z8M4B/9L5/gB3/g28Xf/xfifT4v/+47rnuhdsNeTRQrotgihfsowuE7DSadSyAlqBTkWkm0Emgt8HSCrwW+Z6h4lmpkqYWWiUrCVFXQCyWdsM7xM3V+7Y+nwcSIOOZV1/TYvSkkjsFYg7UuiSOFQCqB9nwOnvLZf6RCvaJp+JLZmmBuRrJhWrNlTrFzc8K+naskYol//5kmJ09Ncstej8t3JfTjDo++EDBZ9ZiZsEw2QmpVJ4WMkbQGiuWuZamV0OpWee1Vqzy5v8eBU4rJZoWbr5zkx965xG99Fp4+Uqfbt6x2NBeWm2yarbFhasDOmQH/5/t6NGstnj8OB09LPM+ilEUIA1j3PwtxDLs2Jdx2dUwSeURxgLU1BqHH/EWf/tCtaINQ5fKtHwoGQ8EgdKw9DF1Wdjg0DEPDIDSp9MkO6EeCfijoRoJuIhjEinOHJZ344Fx7/iNzF45duvuqO3/0oYe+9qf29jd9598cgP/hpz5Ifbqj/vhjf/yeSrT00f/02aXKc/sDPvDjS+zdrukNKvSHAVK64FEIi5TajWaQFqVUqrclnnaa0/cUQ08yDA1BmDCMLNXIMIwMYWhpxjCMDMMYwlgwiCTDJCBKKhw4Uue5A5BYi4O208aeBF+5mo9GAFdthmYVJuqSqYZiZlKzYRp2bBqyeW6VyC7z7z8zwdFjE9xwieKSbZI921a476WYC0sTvGq3ZKppqPh9AhlglSBOJMJa4iRkpVvhwpLHDZdXuW5vh4efrrBxSlCrNLhhr+Fn3rPEv/us4aWzDVa7htWOYnFFMztZZ6pZZao5QbMWMVeP2HlDSODFeDpGqQQpXDBhcTdVFCkWFjNCUYSRYhilz6FkGEmGoWQQSoahcAFq6FySYejO6zBMCEObA3sYOV0/iAT9CHqhoBMJWpGkGxmSYch1u1b4xR+6yDWbVnnq2ckPfujf/G7fm+585p6v/ofkLW/+mb/+AP/EJ/6YqVpdHT+x8N5Dp05/5MDxsxXl1bj7qRl+8cND/vmPrXLFtgitY5SqIHNQZ06JxVMWTyk8bfFCie8JdxE8wdBXhJEDehRZwjhxrkhcOhKIE0uSGBKD09uGHNxCgJKgJXgeBFpQCQS1QFKvKSZqkqkJwYbpmJ2bejTqq3zmkZAHXphm9WKTa3Yodm72uGz7gESs8uUnatQ9zdyUolEb8MJRePmY5urtlt5Qce1lEdfsscyfT1hc8ekParz1pg4PPd/n8FlFvSoJ/CZXX2L45z+0xP0v9fn8/bMstS07NySstDSTTcVE3aNR86hXLZXAEPiGQCdo5aSWlO4aWItLWBlBbCRxIohjQRRLwlgQRZJh5JyXMBKEkSUMYRglhJEhLBHHMMqO1KXJwB0J2qGkFUN/GCHiPjfsWOGf/sgSb7lBs7RaZWHxxcr0hm1/0Fm4/O8kyc5P3f2lTyd3vu27/noDfGZCy+Gw/T3z5+b/011fO19ZDStICTqo8uePbiQMJe99Q5v3vanDVDOmIw1aJmjluyBSJ/ha43maIFQMvJRtPEnoC8JIuIsTKaIYwkg6ByEubL84MSSJcxcSmzolqVuSuTNKOtnja0HgSyqBpF4VNGuWyYZh4/SQuakOsV3lkw9Jfv+LM2yoVLhmh2DHZo9dWww7N6/wmUcty8sVLt+kmGpCoxZx4YRkYSXA3w3DSDA3IZmchMPHLSttw/zFCpftqvDGV3X4woMVZhoQ+D5KTnL1HsGPv30BTy7w5w9P8fLZChvbERsmYybqikZVUatKqoEm8CHwQGvnMEkBUpRAjruxEwNJIogTUqBDlFjCGKIocaQQGcLsOTKEEQzjzJVx4O7HgkHkJEk7FnQiSzgImQjafPdbl3jfG7q88XpJq1MlMZZXXxWxvHqmcmJ+7ndj2dBI709wPPPXE+BHXvoYxsQ/tP/AgV8/eeZUU4kGFSFINERW0qXOl5+QPPpihfMrS/xv39ljqhkzDCq0exW08vG0544wIfQ0fqQYRpLQc6l0xzjCMVHKSnEMUQJJ4pwEY1zAZYzNejhTcDuAO20v8LQDSCWAWsXQqMZMNmLmJvvMTq3yyIGQP7inysHjk+ya8NizCbZt8tm2EfbtaNOL2zy+v0lVecxNKSYbMNkYMjUR4/saIdzN1R/6LLcjVnuWVjdmYcVnx6YGr758gXue6HHwbJNaEOEpHyEm2LNV8QNvvsiN+xb4g3saPP7iJEtdzYZmzGQtplaRVCuKwBMEnsTzXKyiFKl96FBucT2sxpADPU5Murql1mJsiBMH7jiCMLbFETlXZpACuxcJOrGgE8NgEGPiATPVNj/9Xcv8/763SzUIaLdrDEKfKFYkiYfWAfPzB5qnVwb/fvelV/j/8aOf/v2f+qH/fiz+3w3gS0stpFI/+nt//Ce/8pWHTswsLgckxiUmaiI92yh6zRqrA8Wvf8Jj/9EV3vm6Lm+4vsPG2ZBOu0p/GOB7MYHvMQw1QeTsvdB3AI8iSRi7ZTeKU087IbX+SJlbYiwFuF2SMmVu0Mp9Lt+zVHxDtRLTqMRMNYdsnm1zodXjtz/n8eUnp1leqXPpnGDHBsHWDT7bNgh2bxmg/VU+9oDm2Ok6ezdKphqSiXqClEPOLloCLZECrBWEkWbnhjZPkNDuKVbalgvLVfZuq/Cdb2jxqa/5nLgQ4OkIITyMrRPFklftXmHn97b58tM9/ujL0zx1os7WKcFsPaFeSaj4gsAT+J6LVbRKbVYp8poMi7vJjMU5LYkDfAbyOHGSzoEdwsRlKsMseRQL+jF0Ykk3gl5kSHpDts22ef0Nq7zrdT3edpNBizorqxXCMGAYeYSR0/9aJdywt8f29hMzey6b+cA1N/6w+tHvaf+eHzT/+gB82G/j+97f/cKXHviVr91/eMPLx2tUtKbqu5MrBQgsSgr8WNARFVqh5mP3Vbj/+Q43XN7me9/c4+23tJiZDOgPAvpDn8DzCOPiZIWRIo4VUSKJY0mUCOJYkiSCxIhCaxvnrdsU3CJdupVyroOnDL5nCPyEahDTqA6ZnezSj/p87QXLx++b4PEXJ5nyPa7eatk8Ldk447NlTrJtY8glW1d4/kSfzz00x4TSzE0ImnVBsxbR6iV88dEKDd8ihANWf6h5521D7nrM1cS0uoaFFc22DQ3e/Zoujx/osP+wTz2IUVI4kJsag9Bp/R94Y4u9mxf42P1tvv7yJKdWqmxqCiYqlppvqGiD74FWApW6UDLNK2TlRyaVasYUK1ycAt0RRGr3JSmwE8EgFvRiQSeBYWiIw5B6tce737LM9765zQ17EzZOa/r9Ou2OTxj7hCVwx4nLSk83K2ycVqysHNvwwrNf/5VL9r3WXFxuf3h2+psP8m8qwFdXV9l/osu5JfOD+196+F8/8MB9M75dZe9GxTAyJOkJjU0a0MXgCfCloCs9ep7iTNvn3GM1Hnuhy6eu6fDeN/a587YB05M+4TBgGHuEkUcUa6LSiYuTNGGTFAA3NmVuUyQWhLBpUOnqOLQ2+F5C4EdUg5BGtU9Cn68+Lfnjeyd58fgEIgrYNWXZPGmZnVTMTftsmpVsmYvYsanN6cUOv/P5OvGwyrZtgsmGplmHZi1CeCHtfp3JhkUIgbUQxZLpQBGbmE7k0+klrLQVZxerXHlJg5/4W6t84E8CTi7W0SpKbwxNHFcYhJJNMwGvurTNNZd0eenkWT5+X5V7nprkXKtKPVA0fKh7Fl9bPAVaunS+EKPVdQawxt10iREkFuJEOP88EYSJSxL1E0E/gX5sieMYEw2ZqfR565tWef+bOtx+dcREVRPGdVZaAcPQT6+NzsHtrpOrgGx3A4ah4uJqRPvA/RsSE//rm265Mbb2yH/pdTdQb3zz5id+UwE+GPS5Zk/jXXff+8Rv/enn7m4Sd6hXFGDxtCCK0+RD4k64cy4sXiIIlKCaCHoqoBd7LAwr/PljdR54scfNX+nys9/V4YodbTZMKpo1TRj5hLFHHBcgTzKAG4mxEmtJu30ycKepfmVdskjHBH6Mp0La/YjFdsRvfqbC8YUpnt4/iTU+M1XBhlnL7IRgpqmYmfTYOCPZNBOzda7HzOQKX37G8NTLk1yzTTDVkDRqkmbNUK+GCG9IEGi0cr/fWkgSSX+o6Q8iYiPo9A2drmW57TG/1OTWfV1efeUqH/tKheqyQsvIAdJq4sQnjFyP5+xkhRv3dLnx0i5PvP4cJxclf3DPJAurNc4sBfhKUvcEfibDpE1XT9KUZypVSInHCmIDkREMExjEEBoLSQxxhFRDtkz1uWanux43XZHQrGriuE6rEzCMfOIc1FmmWBcrbOwyxlGkGESSMFbYpM2pw/fNTDW935rbcvNKHPU+983E5DcN4CePH2Pjxk3qc3/26UtfevFAU9sO0lPEiaHig5QWrZw+1olFJ+DFlkgKdGLxE6gklpoS9JWgpwP6icdSWOWepyZ45OU+9WDI33lbi20zMbu29Ln1qg5auBYxIZxccVlJxxTWlpgbi5AWJZxnbolBxrx0XPLkAc0XHm/w0qkGYVyjoRVzVct03TJVs84Hb2qmJzQzk4JN0zFb5vpsnlvhgReHfPALG9g8qZlrQrOuaNYFjVpMNRjyyCHFINR4dQcqawVhLKloxfV7+zz2wqQrfOonrLY9Lq4GXLg4xU+8/QJnLi7x2LNzeBIQEQZSAHkMQ0m3r5lqVJhs1nn13h6vv6bH996xyIHThrser/D4gSqHjtWJhWY4VPQihRISIcRY4JnmBKwhNhZrDJ5ImPBDKkS8+oYuuzcP2DYb8f13Dqn6knrVIwxrtDoeUbqiOsJRaSyUMXcmH2VuTUaxsyXjWGCt5vipAWcXH21u2rJ46Xvf9z51+NDh5LK935x68m8KwF888CSLUewnRx/+4elG/9dJVpmZDBgMDWHsTqOUxnWhSEusBCp2r1UK9jgBP4EgsVSUoJYIhgYGiUc/8eglFTqdhH/9sSlsHLFxbsCVOwbMTMS89419dmwIiSKR6m0JJeYmq2uRBiEFn76/yvNH6witOXmuxtkLNSpVxUQgmKxbmhVDswKNqmCipmg2FFMNzcwkzE7GbJwZsHVDm8Su8umHmvS7dS7bZmnWFI2apFE1NCoxnhfy5ccqDHsSb4PrFs0kSr2qeOvNfR58xtAdSrr9JG8imF+qccXuBu+9vc3TL9U4udxASQNEqV72iBLnJg1CSXegaXV9GtUa9eqQK7YNuGXfgNMLLU6cX0V7Cc8d03zqvhpCucI1hBy9iNYABqwlChN2box5/xv7zDYT9u20bJyBJPYYhg3i2GOl7RFHiijRaRyUypAsJopkztxx4kAdJYXTlblfw1DQG2hWLyySeNt+/d4HH+m98XXTv3/k6OPhpXtu+asB8EefPUVsq3snvWO/PcvDcrq5if5QY2zswIVBCunquBPcIS1x4tg7C268xGlAP7FUjHUnxFjCRDA0kmEiCY1HZGCx2+S+5w2WhD973I1swJr0yLJ4qUUmsopEiVSKONJIo/G0pBHA7jlL3TPUAkMtgFogqFcljaqTQxMNyVQTZiZi5qaGbJnrkLDCb/5phYdf2MCeGZiqpexdkzSqMbVqSL3Wp1qtESiZZmhdsGsMRJHHoC/oDxM6Q0V3YOj0jWuZq/ucuTDBa68c8jPvu8BvfEpzajVACIO1ESaxRLFHGEkGQ1fG2uhr6hWfWrVCLahRCSIa1ZBXXRbiexE3XRbz/W/qoVWcJoFcbf2IKE8lnTESISSBpwCfwVCztKJd3U6SxTypLMzYOVE5mDNAx2nQH6fBahwL4iS1dDOAp576cjvmoT+7T/78tvZvty5se0hEgxe/Gdj8bwb4Jz7xp+zYPFm95+uH3/PFF18Qr7lS4AkDVqGVdMRAWluSMnaZtZNkNHrPquASI4hNAf7YOH3oDkFoJLGVJEYTmcAFsCWPG0pZSgFaCBfYKqhULRVtqaiEwINAQ8W3VANB1ZfUqpJaRTuA1wWTDcN0M2ZmcsiG6S5bNizxwS8Y/uiejWyfVMw2DM26olFT1GtQqyY0qhHnlwxHzwdUfHdDQ1bpJxiEmt2bDJtmB7QHPv2BTVlcstrRNKoVGrVJvv9NCxw7P8/vfm4rWmoshsQkxMYSxZphqOiHriiqV5HUBppq4FENElodF2P4XoKnEzwvQUvXKCGlS+eL9HClK64QyIFc0DJplaVxcU2SSIyRxKaId+JE5MF9nAiSJHWz0mA/SkFdHKQs7hJMceKuVSWQ3HyFRQ2eFy++5L1nyFVH7/vKn/Xv+Lbv+NYCvFqt+CfPXfx5FS/9fFMpeej4DDOTynmwUqC1q+GUGcDTI1HWsXcCOvWrkyz5YJwnm/3sDluk2dNKOeflijxQKmtuIM3kucBKS4OWpDUt4CmBp63zjbWgEkgqvqQaKKoVRaMqadQsE/WEyUbMdHPI7FSPHRuXePzQkI/dv4WpSsDGhqFZEw7cVUm9YqhXYhq1IY8fhOcO1Lh0zqa6t0ib94eKm/ZZLtvR54kXJ+kNLf1BQrevU5B71CpVqpVJvvt1yzx3aIHH9m8CqzAmcUQQW+LI5vUk/aGmNrBUK4qKbwh8j8BPCLRB6wRPuxLjrAxCSlcajLAICj1XBOeuhNhkjpTJ7NeSFZsCOTYidWBkniVNklFwJ6n1mOQ2pCMshGDjtM/c1Cxnzhl5dnHl/9m+47xfr9V/GQi/ZQC3dlUOB4Nf+rPPfOIfDvsL/rZNAca4zKBrWEgL8aXMT2iiHIMnSQFyB17XQJskWa1IAXBjs8ybxaSZuCxZYa2llHkfWXGzVHWW0FEyzVgqSkVbLvsX+IpKoKgGglpV0KhamrWEiXrMZGPIzESfLXMrPHawzy99ZCOnzkxyyaxhsgbNqqJeVdQrUK8kVCsRvjegNbAoqfCUdd1J6SMxIl3GfZrViF5s6KV11r1BQqcnaVUVtU5AJWiwa1PEP//hFv/0o5JH92/EojDWkCSGOIkJY0MYKQahoh9IqkNFxZcEviXwFYE2eJ7z+7VK63xUSjipTBHCjjbopql9m5KITWtZkhTwSfqzMc4Vio3ISwAc4FPrMQd0CnpTXrmLaxkDCyvuJup0z/rtQeUffc/3fZ+3sNL5hQ1Tjb90Ov8vDXBrlsBEv9xfvOsfBBypzEx49IaSJHEfOIvOjREoI0gygBuLSYGemCyTVoC8SKunoE7BbY11XeRpCWj5YAzgWbNE1hmkhAO3Us4u02krmqclge8GAFUCN5KhGljqFUOjltCsRUw0QqabfbbMrfLYgR7/9PdnOXhqmp3TzmFpVCX1mnTsXbXUKgm1SkSUhPzhVxpIpfCkRYnCJjRWpFrV4wfessLdT4V0woBeCvBuX9HpKlqBpuIHBF6Tfdtj/uWPLPGLvy/4+osbMVaSGJdWj2JXaDYMDcOKK3cNAkHFEwS+y2z62uYZW60MUjmr1q2sJYAXKU8gJRFcLsG5LWkgnxetuWti8uRaCvJ85RX56pwBPFuds+tuLUQ4skoSS39gefCJI5VVee///hPfd6c4s9D+x9s2/OWSQH9pgD/z3HGsNa9+9MGDVWVdHUcVx8C5bCjVPMhEoKQgsSVQJxajMvnh3jN5rUTRfmVMyiLWpqxNVu6MHftcRe9mWmeS15OLvI7cAVziedLVb/iCSuBmntSChHrVgbtZD5ls9pmbbPH4gR6/9OFpXjo5y7YpwUy9JE0qmnrF1a9UKzHVIMTzhpxdmsJTAiVNassVQWaSSOJYsXnKEscR7aiSdsoY+oOEzkBS7SkqvofvVfD0BJdvi/mXf3eRf/IheOzlDSRGOoAnlihOUiY3DANDJZQMfJVLMM8DTzuJ5upULFqSyhQQ6fM6GHdyhTQphMiTQzm402yxu/bp67K8LAE7X4nL19wU5QNJWhvTDAyi/Xy1t3LZq6WU/1U8flMBvv+5L7Ntq6l98CP3+O1WwsxEWskmLEYXoC5S5ZCo7MIKEpkytSYH+yiwbYm1C1DbNL2crRDrPaQoiqhcs4TIwa2kTBslMnkCFQ8C31CtWKqB08+1akSzFjJZ7zM71eKpwwN+8femeOHkHFsmFXN1w0RV0KhIahVFrSqoVtzN4VL9IY/tF3QHPhVFepM5DZ41ISRGEMWaekVx61UdHn+pSS9yMqU/TOj1FZ1AEfgK3/NT/TzJFdsNv/pjC/zcf4av799AZCSRMWmzdNGDOfQlgW8ce3tFHb1W2UEqUwoZJ9Ms73ogz5JCNgN4BvgsDiqRmcmzo2CStYDO2Lt4j/SaF6+rFUXc6/HlL37J337ZHbU/+eRdve9937f/9we4tS8DWyaPvXTX7+zb0X3d0lLkPFVBSZMVd2/+ZdNlyzF2cZcbJdZn7RKgTQ7soimYVHvnF0O4giKRa3+Rg9sBHFRaMehp8D1cJ5CfFlgFCdVUXjSqQyYafaYabZ49MuQXf2+K505sYNOkZq5mmKhCvSKoVxW1qqKWs3dCJYhp1AY88JzPaqvC1FSRJs8AY1JtGiWKDTOKN13X5YEnjeuiCU0J5JKKJ6l4Gk/7aF1FSsMV2y2/8mML/Nx/tnz94AYio4nSCkBX9uqYPIhkXl3oa4nWaRGWFCidnRvyz5fdhJlUEVlVGoXkHD9M6dmU4iUzBtwyW2csXgZ3xu4ZoQ1DN6zpzFLrdT156kNvfcd7f/KuB0+ufvvrdv73BfiBA/Mgln8uaj33PZunTlLVU/QG2lX0xWlQoVxUnYPdCowqtHWZ2TP5keQyJNXc1o4GkuPMnSI9y8jl2ltmFXSF7s4qBrXC1Wdoi+e5xuKKb6j4CdVKTK0SUa8MadQGTE+0ePrQkJ//z7M8e2wjGyY9NtQSJmo2BXfK3hVJNXDsXwliakFIbIZ0wgChJF7G4LkGFym7pRm+yKPuD1y5QFhhKgP5IKHnOwYPfImnNZ7ONqC1XL3L8oGfvMD/9Z8MXz+wkchohokgTEzK4oJKZAg8i++53lWdxh1aOSPAtQG68+RkiiitgO6s5jdmOdYZA3dOQiViGmXlkjSxjL5nbc7ymVvmrEToDuHcsUUi/+D3vOX1jx1t6uif/Hdl8OMnzrFr5+adf/8XP3jN4uJ5fuwdPTZMeyy1qgyG2jUbpLaRzoIOxWjEbRkJIrPRaDZ9vzhhosQURVbSltfMjLXLQWW23KYdOioNprROO4PSIqSserDiJalujqhWhkw1e0zUOzy2P+Yff3CWZ45tZG5CM1dNmKhYGim4qxVnJ2bgrgYJFT+mWQ/Zf8Jy/9N1fCnxlMkdpeyRLd9RooiN5g2virj0ki5HT1WZq1H0OQ4TeoOUhbVCay+3WYWwXLUTfvXHL/JP/rPhoZfmGERVlwyLLbW0hjvwcCDX2eplUokikSrJVzglRQngogRy1uiVAuR2FOA5uIuVtwD62rgqSV9nzShxGoiGsevxXOxIJmcjvuPWl5gUzWuuvP5ndy4tzp+cmdv0zQe4TU6A9HedOfHwv90+2XnX40+5Kaw75kKqgee60gXIGBIpiJVjc5PZf7YA+chSljN2Zkely/i4S7LGLUmZexzcwiJVZgs6MGiVsra2+NrgeYbAMwR+TMWPqQQhtcqQ6YkeK50eD74Iv/rHm3j+yCyzKbgnq5ZGVVCviNwrd86LceztO4BXgyFhkjDoV6god5NJIUYq+bJEigs0tdPyeui60yNRArjB9xN8T+N5Eq0USno5wBFw7W7Br/7kCv/6T2K+fmCGc60mg7pkMrE0YkslnTgQeDb1/jMnxebsnUmVDOD5500/dBnnuUJML0qxspbKb8tgL72XX+dcmlCyhp1tmI26cM3LsG0yYUMj4tFnkndNXXgs2XflVf/7M/vPnrjhir/Ynp5/YYA/+PgZtFe9Zf70/vdUxCF+9rs0V2z3SRKJlAZfJwhcVB4nqTWYyEJrl+qzbRaUWJEubaXXdlTvjbL2qCrMLoIb95Cxt03liS0NB3JlsZ426ZiJJAd34Kfgnu6yuNLnV/6wxuceneNid4q5CclcJQV3xenuWhpYVgNJLbApgzvtXQlCIOTeZ31WIp+ZgJF6bMToCpUkrvmhGWjeeEOPxw6GdKKAicikXewGf+hq1X3tAK6VRUkPIV2CBguXb5f8xs+2ueuxPr/84Y2cuThFf1Iz6QsasaEWQxC50cu+cgONvCzQlCIPgrPncqBevjGFyHtFChbPr1UJ7CVjwJSkZsHgxYpd6HGX9Imybqy0pPrI8Tq/85kaFXWQO79t8j3VK/w/NAxOfFMZvNvtU6tVLrvvwUf//pNPHeWSTT67NgmiuAGkmUJt3JdOZ5kkRji/O5cnooi2cxsxkydiTHOLUdYuyxJKoyUgTzdnLoDKAK4sWjpgu97OtL/Tc/NXKn5E4Ec0qn207vHAcwkf+mKTLzy8gdA02dAUzFacLHEWYOaTq/QQKXOX2TtC6yGPvDxJL9RsrmWfZ5zBsxteEsWKiqd49RV9YuMA3o8Eg8wNSQfreDqzOFUKRJd9dGATzE4KvueOLo3gHB/+Yp8HX55hPqrSq0iasaWurQO5TuMQZdO4xKYgz86hKGrHJUgKFi/vKFi+JDmbj628dgTc48GoLZyWkqUYJ64UwwBVDQLFqXOwe7Nh/vQhWitX/v0rr7ntmeGwdzgIav/tAH/ihdOsnP0ybX9iS1Mee/3lW1eZbEosJm9BEimw0AYpMlsoswNlyUoqZEoWbOVam0JrF8AuWQ9l+0rYMWmSZeVIR0+QT77KmNtTrhYj8CJ8P6LihdRqA3y/xx/fo/m1/7KBo4vTeEGFTQ3BdJDQDCz1AOpph301cNnOSpoQcvUrSboSOHlysZ3QDX18pfClzQNMSl8lu8GTtGYjjD2q3oBNk31Wew366eDRQehiBc9LUptPpXancgAfCVxd5eO7bu9y05WL/OofDPijL8+xHNfpBR51T9LUrgYn0OAr8mYInSV90pVP5lKlSACVSWVUrKzH5lmTc+nnEqiNXStRk5J3HqckJ4W7AYWA1Y7kgSdX6cv9r997JNqysNg+bIdHEcGe/zaAG5OwIu7YdfDl5z948uAjvPm6NlFcw1p3MoR0wxdc0Y5wQEvliDICY03O3jZj8Uxr2yLAtJTBXSp1LT0EtmATmQ0HGq9zMa72PGfuJAV5jK+dJAn8IYHX58SFmN+9q85nH5rh2IUpmjWP6QpMBQmNwKap9wzcMgW3zJNClVR7B767cZr1IZ95RHP4ZJVKOoErbxejQHk+xsGmxUmx5vKd8I6bOnzoSzN0a5pmZBlEliBM4wZl0Dqb8EUJ5F6JVt2qsGNW8o//do9rdp/hP39hmmPzEyzHVXqepq4EtRTovnSNKF7qMuWrX3ZeM/sQp8+LTOdoWr/k3OZMnq/GlGVZ+p4pgzxNFtkSk6e4ALCJy5m0h9AJLVdc+QhvvHHHBzftePXbzGD1vypVviHAh8MI39c88ujT255+5vCeL9wbsm2ux+uvjlhqVfMMF4CVmQRxgFZW5sFUAe6MsdN0byZPWEeWpBeMjLEzkIsC2Nko5XyWijSpa5Kxd4KnY9e5o2OCYIivh3SSkN/+pM+H79rE2aVJjKoyPaGY9i0TvqGWMnctT9/LtE4llSapd56D23fZy2EUcvhMQDcMmApSFydLOmWuRJaFtaWalEjTrGt2bwtRwYBO2KDvC6qRG4vmp/LKSyWKzlwPoV4heFXMTfT4iXf1eM8b5vnwXW1+99MzXOzX6esKFa2oaUFVWYLYOjaXTqpoWZQ3ZFnONUzOqFxZe91KwC6DvZQUKgM+KSeL0p/L/46xbgLu667r8NYb+iyeP7anH85t233p9SeSOEbpV4bxNwT4yvIitXp9bmrC/2R7Yb933e4mnuiDiPB0UgAzL8wpjsSYEpBLz/nfGWVtB3CBXfeT2JIdaHNgj8gTmVbJqcQBXCdoleB7ERU/xPdCWoOQR56X/PE9TT790AyDpIHv+8z4gknfUPcttcBS8wtwVwJJEEiCVJq4xFDqTKQA9z2X+Tx+3vLgUzXCyCOo2zUBZr4q2nLQLQkjhedp3nRTh499tcvBM3X6FTfvZehZ/Bi8yOCFBqWk862lG0iaD/ehWBETI4mNpBZoNk72+b++u8cVO4b80T0Nntw/wWK/zkD5eJ6mogVVCUE2YCmzV6VNh55SAvloUdaaXb5LeYr82rJWtpTt4CSXqqXYrCRvIJ3ngiVJahw8Mc0zB4563/63XvPJ1mrrul6vt/iXZvCNmxry7Mljtxw7+PDEvu0xtarHbHOCdrdbFMyX7mCXxnXtYtqOypIMxDnAS2WZlMCePUYKf1yPjmPyPKVs8nLPbOSbVokDuEpyOaJ1RKsb8fCLgo98qck9T0+w3GogqxUaVcWkZ2n6hppnqfmWqk/K2o65q4Gk4isqvqDik1bomRTchsBz+lvpIYfOwNlWxSVWUn07mjgp6mdcH6RI694lYajZ2BRctr3PC6diepHHMJ3x7Yek072yybpZogbkWGdOHrybrDbb1Ye//0197rx5ha890+GjX27y5P4mS50aLenT9TW+EvhSEEhcD6d0u9QpUdykKpWhrwjwV2D08dxGQpnBxQiTJ3kFY3GzKAHTVVhZ8nngaUGgu0RfuHfijje8/pbLLrv0S3yD4UHfEOC91umgVun9p7nay/X6JUM8z9KsxW6LPh3ntcTkunmUpY0dZXVbZu9xaZL/p/QYsags5QJ9mWptlXanKJm4gfiZmyEjFjsxDzyl+eLDDT734AQL7TqiUsFreDQ1THiuk6fqkcoOqPoiPWRacprqbl8QZOydAVzH+H5MxQ+xNuLepwNOnq8yOy3wpEl1rCgafctMl4EwlRT9ocfOjYI33dDjs4+GdCOPfiSoeBY/diw+jGxplVK5X42QIzIl21Yxb1Qwzm+vBkPef0efb7tpiT97qMNdD9d44PkGC60afeHT9zXaU2gh8KTAkxJP2FRqWRSiJA15RaCP1K+UAZ6Bl4y9CwZPrAsuDSnoS0SnBdQ1tPqWI+cSlIQTyyfr198c/6djp85dAfT/UgD//H0voUWLS5qHuGRLQH+gEdKgZIzOBjwK6/of1wF4dqILUMsRtyS/KUaQLQqhkttTtnSY1A406WdxcsTXEZVKxGCYcPAsnDin+PhXJvjSk00WVurgVdBNj5qSNDxLQxuqnqXqQcVz4K54biahKzOVpUOkf25TkJsc5L7n2tOOnjO8cDwAz0uXeVtK0YsRFJR1aV4/nbhxzlfvHnLlti4HztboVwS1WBBElqEitfZMyt6Zm5JZkIVWyX321Io0RqXTBzwGoUe1OuSH3jrknbeucvdTXT7x1RonzlU4cLZGuBoQB5qB1kglXTqf9PcJt7FqHoRmAWga/K/H4rl0ogB5UpIhSa7BM+Bb8gr/DAYChkbQiyUXepZkaJmbmceGL03uveR939fu2g816+svJ68I8NbySTEc9v7+Z7/wW7Mv74+449o+1+1xHrfnWUzi+upSZ3qMoWXxGjEywiH7uxnbZCeiRNpFpC5wvjo29dfd9iVul4eEIHCTVOMkYX4JvnKf5uiZKvc/XuXsSpWj5+oQBKiapqIVdW2pa+NcBM8Nzq94blybA3F2yPRQKcBJNXcKbi8h8Bx7uxsr5Pgi7D9Rw5Oj9mAuUSjqwfMlOHNSTNbT6HHlzj6Xbejx4rGYXuzRiARDDX7sZgKqEsClFAgpR5gcxmy4TAZlfZOJIko8hp5PsxryA28Zcvs1bc6utLn3CZ9jpwPufrrGuaUKSd/DSE3kK5AqTfy4rnxJmvFktB5oTY9n6YbOpFnukaeATpe0FAjZc/YabJTOaPEMUiW8+tIur7tuledefm7ymmve9jOeF34Y1g/fXhHgH/qTh0lM/D0PP9OvP3pwO3/ylQFX7+rwhht6XLkzYvO0Yc+uBI0gDuWI/naAHgV5rrWtHAF3BmubnpHc5x5hblNIEZXgBQlRYjl2WvDCMcVXHq/x4nGfl49XaQ8DhmEAno9qegRKUFNQ04ZqyQcOdFankZXNurrwIJUlvq/wfZneALbQ3l7iMoue0/kVP8KakAvLkqEN0FriS4su2WxjBD4aYJX6HcPYQ6CZmw6RakA38uhp4ZyOqCgY08qMZCBlZlIDZMOOStcjay3Leie9ROXjJ3pDn01TITs2RrzqkiH9sM/fOd7ixRM+X3mswgvHKxw7FRDFGhsorFQgJIksZYPKyfxx/3CkjsUW4B0Bc9HRn9ZJu9exQWPZsytk63TE5bsiXn99yBU7oFbxeObQaVbOfh6l/j+6KF/96ldZXGqrL9/3nDh+vIoIBYdXmrxwcoJ7nugwofrs2Dbk6r0hd9404I4bQrBu9HC1brEm/dJGEEcO7EUgWXZLRlNjLmh180s8bd2uatIShW7/FyHgxBnJn9wT0IsUz75c4cjpgItdn2Hig/ZBeaimwpeCqoKaslQUbpyZSguPlGNt3xMu6VEGtyfxU1kS+BD4pK6JS5l72uB7cZoRjahWQhZWEr7y9QatTsDUhECn8UFW9CVeafk2pYDQSIZDxeyM4s5bB9z9ZJ9TrTp9TzqZot0cGS/KPOvUY5eJswspzzqR+e8wVpd+hwO6nygSrYg9N/YhijxnpXoRdT/i9qtjXn3FkHe/fsCh05Ln9nv0Q8UffaXG8XkPhKTX1yShytumrKbIBpWvazl9m8uOtODIGkRiEcZicR5hte4ScgLDG28Y8pYbh1y1N2TnVktNaiaCgN6wznKrziWb6iwvnBWqfp166MF749tf98a/OIPPzTR/e6YeXbtrzm3y5CnJfL/C4kCzGFU4vjLk6y9GfOprEbNTMdYYbtgb8v43D1zxTGKZmzBcf3VIveIuJlbkObC111zkw3laPcFzz3sstSXVCjy+3+PzD1UYRIpBpDg/72OEJrIeRnigNSLQaCnxlaAiLZUU2IGyBMq6GnCder66YG4/68vMwa3SHk2Rs7fvGXw/K9BKcvb2/QilQu57RvHZRxsoXzu7bUR/vzKDZ154knejKwYDj3fe1udzj7T5o3sn6MYV6qkO9zIdHmVJGZt3Cwkhc4C5XyVLWr8EcJOOdtCOyT2tiLVGx4kDukpQyg3Sn6rE3LYv5tZ9EVYMee8dPQaRG+f25w8FPLHfpxoILrYVz73o0+7JVCWJda8wJW1trWsNvP76kNnJxNWDJ5b3v3nAdZdFWCPYMGmYmgRpNYn1GQ4DVjpVVjsNFpcbnF2o0AnNtVde2/ht4Cf+Qgze7fao1arNB+67a9+GKVS/5zMII5Z7lroWhIFHpAQmUQxNxHwrYX41AZtw6JTh8/e55cUmhokpwy3XhjSqroRy3fRk+VZPXYfVruLJF3zaLYXU0s1Esdoxk9C4ucAapHYxgRQOzNISSIMvHRB8Bb4qZvQ5kBdjkt0ePzJvPC6D2zF8WlbrZQyelI6YQEdYG3L2ok84rBBMSPw07a0EuY+cZzEFhS61hX2ad6cbRRh5TDUU22dDfDGgHwf0Y0FVuyGYWQ1JltBSslzeKvPf5X5HlmwzRfbUmLT5pJBGcZykeQOV7n8UE8UJKnK5BK0SpIzZNmvSFcNwxY4Boe0jtaHVEjz5gma1J1G5YhkNqkeudJqyr1cMr742YmLKYGMBVrgMMKRd/B5xpAnT+CSMfMLIJ4o1q12Pk/OKzmCoNm7r7vuO73hns9dpt2uN0d7NNQAXyTmGXfWBpn75jmv3LLB5Bl4+K+mFEiUsvhQkSmOEBOuBicG6oTuxNbRsuj+MMrRXLefvq5e+4noAL6fG0osjBCbbcoG05lQ47SeEREiZWlkZqNO0syTduDXzjUvPOu2kV6Rb75GD27V1KfwU3L4mLzF1DJ6yuHZVk56O8byIIIg4fdHwB3fXQft4UhQBZi5PxBoGL2f6siGhDmxusE4YeXz/nX3+7IE+L19o0E08arHblNZVARazHYXKcgIUHnV2LvM6EFkq8MoOk9fCaK3wEjcvxUuBrmSRNHN14+lrYVKLNkELi7AJszXDt7/WgEiK3IjI9s9Y55rnNUYCjMJEjrysFSSRJEotTpvOmExMMWjIWqj4Ecgejx0SLCz2uTg8fMdlV575QBTHP/VfZfDHnvgcQkh/aWE/0XCJl88Jnj07B7FGCahIi7WCUEgSK1zQYbJNj8YiYWVJvBK4c7O7rNEydivpNyHz4EVImbegKeGm0XrSEggnBbSk9Jw11ZYKiTSlOSgZaxdd9QXAZS5bAt/mLW2+b0qDc2K8lL19HSFlyMl5wWK7gtCaQDIiT2T5a5Uud1k6jAAvdTrC2GOmOWTnpj4H5of0E80ggSAReInFi1MdHpM7S0UKXY10KmSn3E3atSOly04aGXRiSJRE6Wz7cpUWqyVIZdKVwhTWbApykf1uXNJPpMm/zCDInbCxiKvIfYiR2MyO2M2yNI9F5SucEA7gV1yyyr49FdpxjaXecf78a3f5xqzN96wB+H/442WkEBw8GXBhZYpOqDD4NDx3wTwca3hGEFl3GJHqvZK+KkD9jWQJaVdOqbBeCCRFithNpQJPWDyRgjaVANnr/L2U7ItSUPIGW18JB/YRcEv37GdAz4LPFNxZ9482uUTxtNOnvh8RE3HXI1UuLFbxJhR+uYaj7KAwpkjLqetSlWWW9BkM3QTbt7+myyPPD2jHFXpaU40NYZpOV7IoiMoKzoQwFJ1DhVtVrvswJp2pYiFR7ndq4xpUdCLTXexcLU+cAr1IpmXBc8riY7kJkZXwZoOERkZR2JKhMmoulIFuUpBjs0pU5wYlRpbyK5ZGoPnZd/fo9Aa0e5ZBcmzd1WIE4E88eh+NevW1n/rc/TeFrWW8pEprKNN+SZtnnJQVeMISl7JRCUUGypYyUa+I6+zIkgVpEkGkKWENudWm0pSxm29SaFyVAVu6/eSzUQhlYOdzUBSuH3E9gGcBZ6a7dSZLbKq3R2vJfS/C90LmW4anj1RB++hUnuhSgVKW7RNjCHcsVaq6y/tSZe6JR5HHDZcOmZns01qp0YsVNQVe7L5LNgJPRWWA40Ce/yI5VvMj0r7JlB2VITECzwgSJUmUcf20KcjLxWtZOUSWQZYlUGclEwKTgpy0pLmYmFVItBIIy1lsSlnuDOAj07WyXIqzQd2oZkWn53PuYp2h3XDT5l23vvbuu+98+M4737w+wLWKSGL77Ts3yevPzrlidb+V0B0Khum0Imlc5tEY0mDAMbfJ78DSMrwesG3xZTNgi7RpwiUPRkeuqRLIM8bSWW1EWgOelXq65uKsU8XJEpV3rxTAzppvHXunmluT6+3MEnSMXYDby6sTIwQRX3go4JEXG8hA40vh5m/nFYRFG11R8TeezSzKh00+A1CRGEV/4HHrVX3ecXuH3/1CgzAJ6CaSSmIZxqQrV7nqz6RyzozdUK/E5GC0LGr3U3AnSqKUcYwuZTpaItvxzpQAXgK2HC2jyICdyZMyuF+pfmU06VcAOx8ImmbBs8A4ihW9gc/CcoUDxwVGxdc3ZvvfHsfRw+syeKd9HD9o3Hni0Bf/drN6lEZdoS7KNIp2DC4QuFYHd/ONVANSSJT8Ao4xdv5cYrY8oUMBBgkjNQ/l0QYZc7stSLKfSRmcvA1rhMXTbhhPjYLbjVMYY+60Z9NP29s8nTUcxKUjIiTiE/c2SWyAyrOX5QCz6GvMnI0RDc5Yu56RbjpUkgWbGoHH+9/Y4w/vGrJqIvpJhX4i3M4YKYtLaZGxyIvOnF04vn7KkjVZqtgzgkSnYx1UCnLt6vl1ItMxe66C0WWPZV6aXFiU5erOYojQWoB/AyZfU/9fZvKSdLFuv6WkPFA/EQwieP7IWepbLvnbf/s9b7n/4PHTd+/bvX0U4GcuQKNuLv2zB82eu+4e0PSrDEObj2LL2AiZcUKRbi2XSY58fFuAuQz0NSAXzrUte8aqxIBSrNWcGejLsz2UEoUWTyvuRobdpMDWShROSm4Huo5715hsU+YuAkxdYu/AC3n6iOTwuQpWeSgp8aVBi7E6jZIAH3dRsqMYmiNKfrUDeRR77NkSceUlXR49VCVSPv1YUJHgJRYdi1S+pV04carDkU4ujPxKUWJxUZJG5Y4a1yCulclnSKpU+hXgzmqBbFomkDE5+epRMHkWbFIC/Ohynvssdi21rynpwJU32BQ3WhkqQcI1l8JVe5a59IrVPXU9vNRrRHevYfCw16ZvI6Y8yyVzNaqB5OXTMa1Bmn1MP6xa8znSu+wVHCH3BUfDi1yXMraUM7qsq7zmu7DdCskiXPe8KMDtgkyRd4vrHNxyBODl4T+u254c2Hm2MmfuBF+7xI7rCoqwRHzq3hpLS1VEoJ3vXr4Jx2tQynd3ySI0ZpRVR7xpo4gizey05H1v6vD0kSbDpEJP+VQTp8WzclYlScGdrRUm9cSzNLhj8XJZsvPH7ZqpVO6QKFNMAs5eO4Cng1TTcmWRfm/H3nKsZr8A8WjTii3hY5TQ10JoLfClsPhejNYJnT6cOl8nSaaoTihmNqwSDgf5380Bvv+5uxBCUhWrvPlmya4tHX710wnnTjWYCiBQY9ZXsZi8wgcrA3nUJhpxF0aY3I6wdi5ZRsaLFYwtywyuRInFM7kiUXoU4L5OBwB52daBaYZTW7w8FW/S18nIoZXr3Hn5JHzyngZD6aOkSrOXozfieAZz/DLlPlNeE13uWZXpoHlNkGje95YBH/lSj+ePVYmUR09K/MSk7pFAJrZ0nqxrLxNlkWjS3zW6b1GZyRPjxlhnYz50ko2VME4K5X2b2VwWkd/QcamrqmwTFtc5LZbLSc2OYGTdpOc6Z6vc4OIpQ6064KVTHf7waz67ZiyHzx7g0WfOk5TsQu2++GHg0tqJF/717u7KeSRtItOh02/Qi5tMeEB5jt0YM32jwvfxsQPFs83/bDylPQJuUUyqKgM9kyeyxNhZkJlNbdI62+Q11d5qDNxZ+t7LGpONmxmSt4hlPZ1xekQoL+TwWU0n9EHpVJ7YsfLY8Rt39CKODjQa88LTbpwi8aOpe4J9Wwc8fzgkMQF941NJXM22TjW4Em4jV5dYytjSUAjKosI6z3CmqQudDzZ17ykDiXSAV+nuFNIUEwKy6VpJ1t1f6o3NgZ07K9n3zz6THcNBGSxjI5xz7BTdW6RxjZQG34uYaAxYiRosnagwuTjk+msndn/k13+q9h3f/cO926/f6gB++tQ8UnfeMqD2c/3kBM8e8fjk/TWeODBJQwu8dGC6LrPpmg9pR5fiVwD4+GuxDrhFBupMqsiCydXIUM0M5BQ10qoE6vx1muRRpF64A7cDcDEUyCvLkzJ7q7Sv0w9Z7hj+w582WOpXEIHn5Im0I6tKMTjnG5NTHpybUhN2zuBpBi/WNGuan/7ODl97usnS0CeUmr6U+GkPZTHyIQVZVlOf6uKsjNZiUnCbPHNY7qzR6fSpLEjPwK6kSBncSaIkd1FSgI/1bsqS/i6urS3FX3YkDstZeny1y9nffS8rLDaVRXGiCCOfW/YO+bUfO8un72/w1MGAK/Zd/3PPvPTiw/Gg92c5g//plw9TCwKe2b/CI89t4vxKneWWx1RVMOEbKhk4VGHfjWho1n6w/Gk9gK8HbkaBUd68dBzYLsgs5g9KVYwfUyVQaynRqSTROcAzzW3yoNLTJge3p7P6i1H29lSE74d8/F6Pl45WQXpIKQmyG79kbeYEkH7JV6wmLLH5yKyYFOSxkekmTx5X7+nxrtvbfORLFYwO6EufQIo86aOkIMplwFomF2UmL3VTlWtijHI5Di0dmytDPtvRsbqgGCtRzKIpgkzXxynkKMCdHVwKMtdtYB6VLcWf2fw5+13FqJEKSSJ5wzUDrtsdcvTMgNrkYUxHU0uG5ABPohqJ9on6NdqLdaYDnw1zNo/QlSqln2XhX48w+DpAL+urshdcfPnR2YLl5T1r98rYvGy/fWOAywLgeaInA7h1c7JTKeKpwi3xSsOBCs3t2NvTbmrVSsvw5/c1uNgKoJK6J6IUjL2CRKHUx0jpWq5r22WWoZGYJHNTNFNNxd+6o8fnHhmw1A0IlaafyNSeFKl7I4pmbFks7xmws1p810pmck2eDVvSmbOi0tcy/Vm68dfZeS+DXEhR+OLZqpsme7JnmV7rcofWeDtihouy8zbyPsXN5Ma9uem8g6HHSruGVrBhIiFoTFGrNzHGdwB/8rnDzM5O77r3gcd/ZnnpPJdtcbNMImPzOYHrse1oAZEYW1bG2HucxQVp/TLp8lP87E7QOhJlBNijs7/LHS5uuDuj4M52NsiYW5WYew2DZ+MmipETWrnM5fETgkMnKxgChNR5c25RPViOH0TJ1SiYoFyLUjC5KMkTkTsZebtZosFqLt8ZsmfzgKUDVWziOxZPnEzRJRenkATlQq9UcGdltJDWDolS8AlGFpsXlGMbZdxNYySp9k6tXFmQUTY6T5is9FnknyNb0US+upRJcH3JkncK5VKl6Al1IzNsLvHiRDIMLbXuIpfPXvkzu3bf+mx7+cAJXfMtmuGmmYa4syI71Gd9BkPDMHIz4nIra2zpWE+CvCLAcyYr3xzpojnC3GJMnohi1ZDZzO8C2PmzIh0FXPbBy0e6pbUqg7sE8nS/ei8tDc3YW6U/ax2hVMRdjzY4fLEKfiFPvJJ1uVZyMXZy1soUsybgzDKao1o8DDWXzIa8/dYeT7xcA+MRJ06Le0ma3U1GpVKxSmZXL7MNpcth5BKlJFdk+lqmq4rMDnfuk3TFkBnQTWYC2NKNXZIqlGbCjKza5cTP6Fxyd8tn633pPZFRaeHcJWlTzSCS9IeS7tkuU5vlnY2ZeFO/L07o2QlDpWrYvdlywz7N/LLPaiumO0gYxpYkLm0bMoLstUAfkScjEmZszHF5BUiBni+rJebOAC3WAXbO5kqUmnBL4E7nExbbdrAW2LoYEJSPeNMmBXns5ImKqNZCHj2o+LP76vQHPtQ0Wrp6nLI0GQ8wyzf0ugBnTH+PWYZlXzyKNRMNzbvfMOBLj/R4/KCPrXv0kwBfkN9oSpQlYLHMMwZyO8KVprjBlGPzRDo9bmSxaUEW1BuZlQeI0s4QYtRlk66sI7MHs1UsD0AzAK+RK+srAlKmd8SQ9voaUuYWdPqSlTYcO23Ydpllbgu02xZ9eqGHH0gWVjvUaz02UGEwlMSplxiL8VHG6zve4hVAv25gWVo6czZf53UuRYQoLYEiP7Ld3HQJ3AXIs7JZi9bFCGWdbsKk1SjQvZyt3aGUCzB9PyQKE7709Rovn6qB5yGkSkGVzg0pBZdCjt3IpQuXn6Iya5NOZS1lMrO+1kyLZ3ZhGGqu2BHz1td0ee5ElWHsk0iPvlH4CWOfRVDOIo6D3I59FlR2sxmMEqgskJPuWcoi65mvqBKkKc0yNOVAc639O577yCy/8kg+SudrPZxlK182oThKBMNI0h8KFpYTBlGX6YkWG6baBKqDfv6pz4DQkKziaUEUOcYWwgGFrIAqT8uX7/y1K/CothJrwS3WA3nJPSmBuGDxYgeCQpqUrMKcsTOAF5NTc4mSMrdjbJsztc6fi9deGlxqFRH4IS+eFNz9SI1e34e6hxRZ5SAle3CdLGZ+AccuEJmpalMNbEfdlHLCp1SAFUYejUbIW28b8rkHBjx3LADtMzASP9XiyridpEXJ7RIJuTwgKYO9ALa1buXLpYt0bJ6tKlnuwUiQNpUmKaMLkwWApVW3DPZsNSv/TBnw7vOMyN9XWvXGamridGscKV0ptJUV7n34OV46cIIwitGbJ85ghUAJw9FTmsOnwxy9Qrg6BGnHq71eAeDlpSb7T+lLjIJ87c+je2uWNHcOcqe3y9lMpdIKw7Si0LVzZc0OzgEqWLwE7vTwsim0aYG/VrE7dITnRcQ24QsPV3nwxSpUNEjX0OyVSnjHk1/5Uf7hG16sorow2408c1QSI0eAPhx4vP7qHm9/bY+XTlaIYw8rFH2h8RLyzySSgsWLj7A+kxe/36JUxtyOzd3PAmlErsNzRyt1WHJSykCd5S2EWJ+9R1Z2WwL5GHZe6ZylXyWzC5Vwg1L37jQstQVP729Trw1dRvYLjzUxRlKr9uh2e1xY1kzU3PZzMosCS/9o3tSw3uIxpp/WCyyhXKch8k2jRk/IGLBHpEo5TV86VAHubFeH/NDFJqgZoL0SqDPnxDkm7lmpCN+LePaE5JP3NgAfpIcQCi9P7ti8uGrU5sxYKguUxBjAyM/hiA43JQ1uBSZxrXtuCq3K0/fWat7/xj5f+fqAJ4+6SQKRUfQSkRZ8paBLbMGOI2tI8VmstY7Fy+BJ/1SloDcy3c8nC4pNKbNs099lC1A7oI+Cfc2qnTP2aEufYM0HHQH3es9CQMU3TDVDrrmshdYBc9MJcWzQDz7rmkijSOGJOttniwHoSpZj1qxTp2iDWu9RLD8i/7mQKYUVWFg+ZYmSsnSm4UZ0d+FWjIA8Zetis6nUt88H4BfgHmHt0nPWWJtJFaViPC8mSmLuf7zKC0eqbiaGdMGlL2xpcmw5sBrdxGmUvEehZUsv8gaIUo3ISHVhIjEqdVQSzTD0uGrPgNff4li8nzgWHwqfgQGdiCLwSzK7MM0UJuV1t9i1bty6VBKsskgrUBaX/bQCYQVWgLSikCpZUJkbBSWr1JRufFkkeMpdXKOWs12XwYsmMTFSii1whGYNJIniNVdXmJtJ8Lwh1lr0a66YRArBMAzpdrvFVnOquLPGB9L/BZrjybNp2RcZuYszL7Swh9yUpvIeMWP1J4J875189+Ks+Xak4aHYukSrIqDM5oXrHNTFBFqlSwBPJYqvIw6fF3z0Sw2GkQc1L5Un5K1pqrxLcNk5GQk81mejMoMzJlOy0dKFozKuxTX1QPKDb+3xhQfrHDzrbr7EKHqJclWGSZr8wTkZIkm96bGVJDPcygCXWcxlnSS01gWTNr1GVgoHcFOKlTImN2VHbGxlM6OytJzQWU8BjJ2uUiXmKG0kaQActzxWO5N4Z6oo5TnJ9ej9/2jjpdvE/3txcfFyY5TrevGyhEnJa86AJzPwFWxblhJqRFaU9qp8pfdl9nvSscDpeOAcuGNHNjKh7HHnz7pwTLIJUGVwe8qivSxrmYw4KJ6O8mYGT4ckMuQjn6/xh3dPQhCAqqCUpqYsVWXTcRTkDc5eqTWuyKSWE1GSYjIsIwFqEUsUtmN20wpJ2vhb9EIqaRHWsH1TyNmLkqde8ImFmzxghBuxpoUdIZBx1szhYQug5D/bkqix2cq99mYoS6xcaiGK99Y7yv+fUhZ1JA9gRT6O2+Q3/Og2OCM7KBtBnAiGoWC1IzlyOiauX7HJ33TjV/UzTy9PLi4O3zYYhFQq1XyGBpBvB5dVmllr1zDP+Aq8xhYrneRClpQlSVmDp0tdmbVH6sDtiPaWORgKSVJmb5Xv9FDaiEqNS5KsUjBj7whPRxw6J/nY12q4+SuOvb2scz/7/aIkm0S5BW800BTlH3IAjYHDlGtDirmCdqTpVmISRaJSLZ5ovvtNPT57f439ZzyQIVZIBomHRuTpc+ekpBcrKQ03xY764db9bHGzsTIQytJzfmSsbd3vsCb1x00aoI45Y+XX60mTNZKuROPrj2Ieq6lP/0JiBEk8pKL6b9PDhUl98BRcuGA4ed6wcRYCz9UrlHfAKu9aix1dzkbUSRnkI4zxSpbguD04+roMcNdFkunv0usMyFm1W6bBS+B2E1lN8azTYfklv1spd2gVk6iYzz9cZ//hQnsLId3IiryDhnUvoGD8ZzF+vUZ4YbwBecQTL02k0ibrMs/8cSdVrrh0yDtf2+XoxwLCRIHQJELTFwKdpPYdWaCbOSojkVURAqcmgrUCZZ2FSQn0qszEwhYpfgFGOr1uMplS8sHLYC+vKONgL2NnjUQpxQfl7U7KW4ODW0V3bJbs2jik0eyhhQ2oeBU2TGsm6qnXacl3m41i4TbqFOnWElliYB0bRYy8LkfH41+wyHqNgGScucdYO/s5Y+0M7LoE7DLQCw2egTrV3NkWJ9KgZTbUxoHd8yKOnVf8x880GUgHboQudc2nK0jeBD3aarfWDlj/UT6PtrQ6lkdPF0uyLOamKIkyisRo4sQjSGJ+6j1d/vT+GkfPaVARGE0kPPpCoJJSGWs52BwDeW5Tph8uX2FwfbgqtQ4zBlepjSjTzaKkdRiRwrkuwharx1ozIQV+CTdrnJTx82fXgjsxljg2RLElSYwr75WCMITtQ59Gw0dftzdidSWiYhKMjTHWjUUehIJBtqSOJCXKWc112HvdCLkUXEjWXbbGmVuMsXaWSBkFtykkiiwdZWCrEphH/O7SIZ088XRIOzT87ueanF0IQDl5IqQsrMGSa5K/Ll2gUZYa3T5wXaCPLL1Z4wGMbruYDe4peeKJIpGKJNZsnRvyY+/q8Ksf9WlFLiCwVjI0ytmGSfY5LCSCQmEXILdQeH04i5A0AaXSz6asTTObaQAqbMHgabbTupjWqbGcwddb7dZL+IwR5SuQQsbYcWIJI8MwTBiGhijtH+72InQzZnbVoAPP0qgmbJ4dYKwligX9oabVdRF7FKeGfpZSzRa08qcQlGRJ+lwGdQncUozeseWa70KilFnblqzBosheibIkAZ2NNtAZoxeAdnKkJFHyrU7i/FmrCB1EfPoLAR/8VJOh8Zw8EQopJL6gaCoes8RGdHe+eo2doFe4YDk7Ucpo5qDPUvY239wrL6VNXZXYaCo65ife2+XQSZ8Pf95pcVAkQjIwLuCUCTmDFwVYGarsCJeXt3NUtpAs1gqkdTe5qzzM2Nw6+3Ak8eNkTPa7MkCbjOQYlyijgB9h8jUa3KY7Jxui2NAbGDp9Q3/oCgS7A8POATQigY6TIb7f45JtS0hRIYwlnW7AyfkG7Z4qCq1KF9GWgDzC2qUPJ0sXnjV377h/zMhyXzB5CdzZFt3ZplPrsXb+fgnYOYMX1YEqtQOLZzdrcHkF/vRrNVaGGbgdwD3ptLcWo/Jk5LNmdln5vKyD77LWzlkp/YORqr5sk9yyg1CuE5dOqhijiRPNhJ/wnjf3+OzDNZY6CmQERhHh9Ph4deHoLTfG5FkSKP18qpQUyupTpHWa20qb16pY4YBuRDnxU77e7k2nklIpk4O73JQ8iqXsddnYyGI4a2GlYzm5CKsDQZQIwlByTZIgdYSeX1nBxkuY/gJK1UisIokDOgNNq+sTRqJ0Gtz6k9dyMwbiccZO74j15Ejhf78CsMWoNMkstCLILIF8BOwZuO0Igxevk3yfG11ib68W84X7Kjz+QhWTaW+Z9lyKTJ6M1psUlXFjS2zpu2d/tj6Jp+yZW2iFRBlvhihbZomVKFv44nHioU3Mq68OecfNPf7gLh9UCEJihWBoNEoIFK4aXOQgsqX7b5QqrbUo6+7YPI0vCxllZalQTLoZL+XrZ63DiJXFuTFZLJCeNFkC60hQPl4fnsuegjmUEEhf0BSaWi+iOuwg68atRVGfrRs3sXlOoA+e9Th+usbnvroR5VXxlGQikGysCyZrEZVA5X7ueHJmjc0z9v44kHNmzzs9SrJEFoAZZW+bW4RlgMsR5japLk8dE2lTXV2SJJljIksSRcYo6Qa/Hz0l+egXGsx3fLfftXSD3pWg2LFhLF5Y+33FCOC/gTop2DyXKKOFROXNukb2Gi3ViSuZPbvxwhvrCT/0ji4PvxBw9IIEEQEKg2QgZGkTKQe0DNRi5C4sZFL+33zCVHodymwu3OsMzMaOrszuz4oGCCnApCuJGWutc5vNrk3hZ9nT7M8kxZCnmQnJ5ZcIZqdCGrUeno6wpouq95DeBPrchWnOzlvOnJujEnhUNMRVCBJLRRm0SvdjFAK5ToD4jUA9LkfKGb9RW7BU+VYC9Kg9WN7N2JYsQlPS4tmIsQSlC3BnQWauu2WClk6a+H7EMDH8zsebPPh01fW2Se20t5Sua0cU81fyzzrSaMsrMnkZ52IM3KMZzMK1KPZ4L5fPlstoXbtZZhcmiSGWGhVrXv+qkB9/f5tf+h2fYSxdBspI4tRVcTXa2WdLY6rSGAesa0mj9PmUdFahomBzKV0K39mDTqJlN4BN2do5K1kDRNlpWWd1T/Va4bQ4uVOA3DFijh/pLlXVt0zXPTZNTjJRr+B7EVBH1KYRehK9baZK0vPZtzndg0ZDNYBaReblsuXQdk1wtd5FHnltR+y/0f9fWZoUQ2TKwHfgNgWb5wBPB13mPng6/TQDsyw0eLZ3pk5nXOfBpYzx/Jh7n/T47IM1hqEHVZ1r75y9s1VjRJ6sw9wlFOdgL8m5cfouxZjkY8pGwA1WpYxuRmvFEyORxkmVDOhxrKnWYt7z+j73PNjnK08qZxsiQUgioelnq2guOouCLHAsXJo3la8yRbCZ/h1rsWlTRP6zSEtrRQH07PpaIRxz415nuLBjmCnUQKk5IjvHpnBnsnMXJ4KVjiJKqtQCH99PsElIMDmBDprohdWEzsAyVYNmw0mRYjh8IU+yNqVRG28dNi8Dez39XZInGWOvCSrTL6/KMkWWZUq5GTpj7hKgSz53PttaFeDWKbh9L2K1a/nCwzUOnq84aSJcSazItLegNEFqLWvnkiWPP8qA/gb6JAO3pUiorEltiwLca4YDFTUqUiqkSZBGEw01ezdFvOP2Lo/v92mFafrVOD0eosj2gZCk3vhIGW3x2bPkTvZVMs2dgxoXWMpMhwv3b64FekmGiMI+zOzEsv4ur/J2/BxLZ58K3C5/sYRhJBB9SZQIugOFlhZfCS7dbGhOhOg9myVTvmK4HGDRJMb9gmwSVFaTMjL3Y0yqZHZPWYbIdQCfMz/ZvzGaLBkdRZDVYqTBnRrV4sXUUzMKcjkWUMpk5DkDt6djDAn/5a4qH/xMAyu0871H2JtCe49Yg2uBXnaUKIP8G7D3SAqaMVDnTL62la3IaBpMIjHS+eJKGqLEQyrDT7y7x5FzHh/8rCaKC5AbBEMhUSYbJJFZZAXIy5V7eSSYA9oB3enw9Gfp3pOOnl1CSJSBbvPSa8fmtrTyFfpbClsEkzmORP73i/xi+nlj96YxgjBKbUgDvb7BVHympwN0Z9hF+30u22lZWPEYDF2rWmZ9ZWPQMl9alC92KWApGLkEYjGa5cudh5IEGXnOpYAd0eBl5i7LFKWK4iOdvtbjsmSNNRijZITnRxyZl3z2/jrdrgdVtZa985rvkrMjigRPvrSy9nUeJP2FGLwE+pJkGSk+Mlm9RwnospS6l06LS6mJooRGPebdb+jxpYeqHDmfXjw3t5dECPrlT5qBOyuHFqNyJduaVVGSB6lEsaIoXzWCvIKxYN8C6EJksiXtsqcEdGtH9Pl6LE7q0TM2ESxOUpvSwjC0nJkfsOvSVWpV0JYmg3DAxVV35wa+LMmJMfYqvS4DMwOnKAE+W7az+RxC2hLbj01CGnNNZD7kpRRclvzvbHSv09w2lyLFdhtJid3dfjI5i0tXezKMDPc8Vudrz1TdcHDpOYCPsXe+agjBSDCcy6zR9HMesvzX1UmZ0EeBXjqMcct/JlNsuhWJ092mkClGkgiJSiRGKKKh5s3Xh7z51X1Of9FjaGRqa0i3vSOaoXByQxoKmZIPcB+vpEtBXlqZMomSDfTMnBSZW4ajQCe9GYR0I7gzhhYlRs/dEilGFEGq4lJnBmQ61zwWRTNM5vLNTVumJmo06lPoN776stX7vp586cXj3nfs2ZLQrKucqbOvNqqhx1yPEZ00Lk9sAfBMb2dypfxvjcgVMzYxqRxoljR4afeBcf2tSomdLLjUMkYq16kj/ZgHnvT5td+fILG6cE6kYrSoqszYxfy9kdVqHfb+CyQxC2Rn0mSNTLEjcsWQTb1Ki7HEOppcpvvYGE0cG3w/4ed/uM3BM5oHnpAYX6Q87L5AZBR9t9aUPlAmS9bR5NY6qZImdgpGL5g5lzEi7d3PZUaq6gUj7sgauZKdx1T+FB1fNi8DsMI6d8aUfHzh5ijWq5Jb9lZo1Ge/1Ar3rapqc2N3YWHh6IZJ9eONWkKzKvD9rCRUFE0Geb0yeSeNcz2K2pCsVkQqmzco5FafKgVpWYNCqQZ6pDKwFFCWO3QyKzB/b11wF8VUqlR3okq9lmeWBb/20QkefqbuNuWRrh0N6aGloCohkK5TyJN2be32yCHy85NP15LlURauFlyqsYbp0mpY/CxKN/1oSUB5lcsC82LlLEm98m4LFmZnYgJtefx5n9V+aZlNw8xsinhRcejuUDEC/PLdWry3bn+uzYsASsVk2c9i5JbJ3xuTZ+WtTbI/Z+TGJ904wJIkliixxLElig1xYkDU6LaXf2j+7P6D+lWXp3ensSRxgrGGOBaEkSROijlwwIgEGU/BvrLfPToZdL2gcmQ6aQb4lPGVKGvvlMWVGZEpaw5VDizjNKHjXid+wkc/N8Gf3VfHVhQItw87Ii2JLfVbFv2N36BjvuQAlO3UcVyU3x4vxhwHRHHhR52VcoePkXZEi1trihoVoZDGkAiN7Ce8544+Lx/z+MDvacIgLgAuBNZ4DNPaGZGNU0hctsaSlcq6T5npbyVEztpQFFohXBJH2swKLFjYyQtb8sKLAjBRWjSkdAmgQv5l1mJpxUxHQ1vSctkEwtgVX8UJLLU1lcDNP9f7dl5ACEmchNh4yCCsM79UpdMTEIl8D5fsHy5LlfzDiVGNPXITUAo0ZQnIIxrcjoJ9DNgjOlwVzoksM7hMimdZBneCLNWefOWJgN//Yp1Bkk7BF9nhNjHNa05EqUygHCCP3MijEm7k5zXq5JW0iiCruS7KVktSBbumhNbKUmZTlpwVme4vKZ0vbqQhMZrAM/zw27t8/Tmfrzzj7MLMG0cKjNUMswgvS0WaMZlSSgBZgXNR0tFpMvtrGZhT6SFlqrkNJXkxJk0oirCkyDKf48FlesNYO3Kes9LZYWToDizzq9AdxjSbEs+zWGPQn39kgFSCbi/C0wNuv8YyUdN0+ypfspQsaSM5ysojQSbrMfkom6+5AcquSXkkr8iY3I7p7/XAPSZRSgGlO2KUjugN4Zc/NMGxswFWF7slZ86J097Frm7rJnYYA3H5vXEg/1cEebmLvViSC4Y3I8tyeQuS0doUB+w08BQqtXotIjEIoZGh4ZKtEb/wIy2+/o8COoP0y5giYkzQDG22Eq0FuZVp4RfFLh8u+AVSfaxkAWb398c1eArkrJpQum+d/R3no48qBZP//4u/V7Zls4xwqy9QQcjbblll05RPbHwQBt0dXoVSil6/w/LKebZMxWycVvSHkmxQ/ni9SGb1jbNa7qBQkicp8HOtmP975R26CvdElECucnCPATx9P0/ejCdzst150y2otY6IE/itTzd45kDFed4yS+oUzoknbKkdzY6M/R21OovAZtQ9GW2mHlOnY6+Lt0YqDC0lXWpzJs+2cRypNhSOwfOgM2P0RGJEeiTKSRVjuOHyiJ/+rhb/9uOThIkE4hHaTVAMTabF12Hy/EuXspzCsauSFsqZxlKQaMsrNgKbpPeXLYjDlqVIWf6R/pnMBnimr1OMKQVBIKn6lh0bNJfMTrFhdjP1RpMkSdDvf+87adTrPPfiC3z683fx3JEmGyY01YpMN2NKM16iKHLK3YQSaMv6aFyHj8yJznYEGJkpXbC2LEsTMc7Y2Z9lUsTm9qBcw9qOubWK0ZWErz4W8OFPN2j1PecBpp43aZNuxt66xN7FQPtRF6lIJZfkLKUgraDvsfdKK/4675VZfE1QNd7pI4t+zUKPp0wuHJsnUiGtcfUqsaJZMfzoe3s89VLAPY8qqKVozJhcCmIjGeSfvwC5JS2NNZn3XXT5kLJ7Vm1ZJH9AJKl1mMuOTHOXNHrx69chypT9M99dpu10Ipsm7HbN2zQrmJ0aEoUttu++lj2X3kC/30HXK4pqRTNRl8w2u8wvhnS7TXZu8hB1ty+6EOPp8nE9uhbMZSYfjfIL9i4AXmbysX0YpU23ji6DvMzUJrcCZb6vugsspYyROubACc1//GSTI0teuu+9Y+1ce69hb9aRKKMbaI1Kk3WG17xCvJnL2jXOwajuLqoMS2WpqTyRpb87kuVMd2/INpUVacDp6j40MjLsmU74qfd1ODGvOXxWYHVZYAmQXg7yXK6kgM7ZWzqtYSWotDHd5ZGc5pZkN0LKzqbMzOl75SRPztTpKZJlqVIkgIoaGZGvolpL6jXF7s2WoD7k0EnohwFCBlgi9OaZiEYjZnm6x4WlPkfPVLl2lyFOihs4G42W1VnLcbCmFy7fQ6W8tGesnttZZf0+xt5lzT0SZJZlSZq9FKbE5MXrzP+WMsYPYuZbgl/+vSafvbeG9Urp+FSalNm72FF5Hc97/ChIekRmlxk9R/hYxLmGve3a94oGZEbaxMbHKwibjUKWaQOuzEnDaXKny01iiNF40vCeO/q0hpKf+w3FhVUBQUa76YEmMZJBKpqzZE4Z7A7c7gtnzK7y1H3GziVGHzt3xc/l3R5SsKdOS5lMXDViWvCVxgE2/ftaub98+baYXq/NYjtmfkXQ64FeXNV4QWX+haP+3Z3+jju3zQxo1hW+l2334WaAeGmHeiYTRti6BGhgXfYuAssC2Pl2c6W0vBAlKVLS4KNzQUoZSmlGXBMpHbg9HRNi+Pwjdb76RC2tNUkDy3SGSMHeozsH56n4MoOPM3dZi5eAvYawy/J7/FGuRSlrcDLmHtXha8popRvAY4wgEQIh0uxm6qxIKTFWpe9JhHUVh4G2vOXmAe98TY8//JIkjIVL2+YsDhbtmDxjr0yLS5vvVen2zAGV3gTkwWUmSUp1JGJUgmSZz9FgvUyQpcGt2TUwYJU7BwKBiC1eZAhDQ6sjOX52gmsvm2TDTnF3c8qfn6wJ1G/+5m9x6RWvWZVCrzYD+31Ey2yYCWjWoB5YKoHB99OdyMozR0pdNMUWc+UNW8f2cJEFkPNsZKkzPu+xzLeNHkvmlNPzJeZ2bJ2UZIqbc5JIw+cerPIv/vMEx+eDtImhSOggNUIKAgkV6QbZa5EO7cyTTlkyxxb1OCJNgImiPscNPAIpJcV+QqND+t2wJDmauMmcuvFj/OZa48OPVmC6KQVFAL9ejoISkDCW6WbCFZfGnF5QHD6lXcInvxuz167/x6R3qigEWPpKlO5TkdeljN6/7pePlgaPOUa25Bplzy5mHS1ZQOTGRzZGMPs3EyPp9S0T03tp1Gf/j5XF449dde3r3B49G6cStBdjNkFgFY1asWd74Jt87HBm26WbduV33OjXhvLGQWv3TSwnd+zo8xrmtrkUkSVrUK4Dbqe500pBL+H4RcmHP1Pn4NEAGiqXJC6xo9ewd7kdbcTvLzP3GAvly2oJAGXWWcvkoxdljUXoCkHHEj4Fe5scECU2N2mFnnEAy5hd5MwuU3fHSRVhLYnRREPL5Xsifvg9HZ54wefEYvYFKQWdYI0ilrKQSukIN2vsSHCZSRabagyT6ujsq4i0ytCVpNhR5s7UTwlII3gq4UpKiA3oBGJjSIwgii39oWFhKaY2EWG9kDB0U5I1wPXX7kXqGq3NPU4feYFWrw5Q2vGgyCLmGirTiuusvKPLdmkjopIOHwkwxSiox+WJq0cxuTXodtlNwS0TlEiPlL2XO4J/94dN7n+mUlQJZhlLWSR1AjFac1Le1zGTJGVbsKj5Xh/8612cv8jDjtHb+gyX7ltsHFtnMkWKzEJ0wzAzN8UFZxaReuJGqLRVTCJQGGFIeoY7rh/ys9/f5l9+aJKVfgZsUZQHpiCOpUh3PxHZVj8O7KnmduBOPXLpCrhs6o+Xg02H/1LrnB0jyTFJl+PLpmQiivEhOnZ7g2olsNaw1E246sZNXHLpFbQ7vQLgs3MbqTa23vPY17/0a52Vxs9NNyIC36Z71WSBpc21U7lGwJTbK4qatPxTreesjNdMjFYQmvzPVAng4+AugsuUvdN6k4Gw/M5nGvzepxt0Es9Fxxlzp66Jm92XbvtR0t3rJXfGff4sEFq/atABaM2d/hcA98h5LWU0R2rHMzZPNW+29YkcCToz/V0EodKm08mExG3eZEiMgtjS8CJ+/L0dLiwp/v0fNkfKaMlBDRhdgDw9D54YBbrKcu4m09wiB7ksAV1SCjJf0W4qBdojr91fzloI87F8yrJvZ42KXPq1a6++/J4jx88WAK81t3HXp/9Fr6rlcW/CJ9B9Jmoxvh+jlUmBad1AxPIGSaYc1WeJ5tL1TQOH3OeUtpTtLNwSUQK4yLztEQZP3RNRyBOpCqBnILfa8PJhnz+5p0Y70uBnoC46dRASQeF561zjlrr31wQ/a9m6HFOW/24G7NGY8xsj3WbpeltaGcvBZm4RlmYGUjgr2aAgIVMw5+wu3Y1gXAyQmNQyTK1DaSxxZGhUYr73LV3uftTn2UMuo1hm8NynM8qBHFIWL0mWrGIlvfkyq1VkLkt6n+TpervOeSsvZJkeN640JklnpyfpIKTsOnhKUNGWmm8YDDUHj6wc/9n/85d7/+HXf6EAOMAtr3knSle4cOo+BssPMNlM8L0IKZ2qT4wkjF0UHseKOFHESbbVnQN5mZHWOiolFi8Dej2gjwE8Y2opSlnKEriljFFewvPHPH76V6d44XCA9WQhS3IGlyVbsKg5WbNTwzpaez1JMrI9ScZGZYT/xUh8baInB3laopozeFY6K9w4YyFSaZJKlDSj6WSLsw2FSG3DbGKWdf64EIoE6yRkaLn20ojf/rlVfvxfCV44kgYnmVRJb0CwjsmFyN0SPy+8ckDW6U3pGpStezYir0/JbMARByqz2BllbJMCOzKCKIGBkQwSGMZubJvEsXhFS6oi5rZX7+X973odnd6ANQCX/hTaqxNawcXuMn1jUCIhS8vOTghmmppuv8ow9CEqQqYEV4RPyjbFRR+3C23B4nkms+R5j+luWXJMxBi4c2DLGO0ZOlbynz5T59n9AYkqM3emvd1UkDywFOVKwTHfO/3M43MH14xiG2P0nM3Xi5DWw/UYsMsIH2H1kSMb1jnqjYPN5UrG2EbIfK8ck63CQiKQBZMbS4JBC8sNVwz5e+/u8vP/1qMTC/DK7E1a+SQARWIEYZqtdEkfZx+S1u9nK5Mlqy4krzCUIk8bFSvd2LnIwB0bQZgIurGgHUN/ELFpcsDGyUHq7zgiixPD1KzH1q2zuf4eAfhiO2BmsnLks4/PHf3op3btWe20kcolEbAJ77i5zS/+nTYbJgzLbZEzN2mdRKY8bZm5SuxddPLYEbA7UGXZy1R/54FlUgJ8klYSJkiRoESMEgnaS+gZ+PBn63zyq3WGafFUwdw6Z2+Zgjvf2zJP7Iyxd6nt7pUSPCPJnsxAWxfM/zV5Ms7e6wzAzJZryPdLKsBt8/S9EKlcpNDkMi+vNQgrXUWedW6KC0BTZyWx+MLyvjf32H9S8+HPNOhGuBOW6/D0OW1gS4wk3zw5nRORWXlZwGnzE1XIlGyerbSl3MnY+cgytImBYSLoxNDrDdkxtcwv/p0l7rw5xCQyvbkNiZiiPmOOTk96RyZqxTlX2Yt//2//DTe9/taj2zcGG06f7b7h0PEISQOT1BiENV4+UWexY7lxb5d6xWMYea4k02TQHtu5OGPEcvVh2SWRFMCWpeAy09x5kVXmnhTglqXWs24EH/rzOv/q9ya4sOyXunOKybDuZ4kWrpHBH2lkyBosSnPHPg7LMgAAOH5JREFUxegMwiLxU2pWEM7/zp/TtqmRDbMy/3vsvfGdK0ZmosvivXyWoxyf0mrHVphS8q10U2auT3FDlm3bknxMIWexTDYTbrwypN0TvHRUuyTQSHq27OeJ3Ce3pQBcZHgo37i29LMoGL7skZcBbq37dxMLQyPohJatk8v83397mfe+XiPsJNY0kaKBFJqh2UU32fdbS4sHf3fn7tvXMjjAW27pMzNt7nrooeRdyzvV9SZx1WaRgYsdn3sem+N11w75rttw+8aY4sNlDovMslHlE1qWKP//9r487JKqPvM9S213/fal972BbhC6aZBdQAG3hERFM2PMYqKRJKNmJo7LJBrncSEzo9EEE50go0ximFFkgoKoqCyyCM3aLN0NvdPb1/3t312q6pwzf5w6Vafq3m66BWx05vRzn3tv3ep766t6z1vv+a05DS67625ig1tYGjxbUDImQH2Ff72thM/8YxUHJhy9qKRF3Z33WDpE5YCcm4zEMgHSLuxtL4oKi39iLqklw495WItKWM9Gh8PS4Xk7ePKcejWRsrdtVSEpw9OEtZEwOE2ukWZxSI4oVBjpEfjYu2cwPkPxz7dWAD+5dUhVYPKEbUERSq1mFIhlHiRp6IOZABIKVGaTTns0Mx+Cac9tTiElOgEFEXDe2hgXr/NxcLwX4zMehMhakM/K+mO7Gu5tnKrcqWX2m7/+r98CdU/b7VK2gZPwDJcJ1EoEPWWC3jLBvEGG01dSDFQZGm0XQjBLA5oFpLWgTGJMiM3aBVlSDIk9Orhllp3jSzy3l+Oz19fw6GYf8Fmesa1QWEIJHGP3TlLRTG93O/0s80zmPYcsYVFmsWqeiTMmJymzJ820jsDguVrohrnTagNmghGQjm2wAtas98n5TwkGeRY3JIMcc2evgYycIBVqNYnAV7j/CQcTk0kCJgoz22Jyw8SZ99J+6oyyNBM7xwP2XSAlHtM5jmCwTjFYrWF8uobDUx5m5lxMz3GMTZUw16zdyqOD177n99+bA3iOwQHgVWuHwRjF9n1TCHyK/poLznWOYV9NoeIA+w63NRCt26Vd/ssOprKZu1N/5zV3Jk8ESM56Yjl1qABzJbbt4/jLL9Xxk4d9rTtIUXObB7E8liq1e3dLZugWWNU10cF+n/OB5xdO3Zi/M3owu7p2L5wOT6flvTTMLpM7ph1Oq1kbXVmcGAeQpKBmwSlZeqcViumYbijIlsLF61r45NXT+Isv1bB9v6tPIiwGN2bE9EZEEdtoTW9Fyd8Ha10BXVjfZurcFEjOvQMFwoGqpxDN+bj/cRc9Na6zrzhBT0VheCjGZNRfEDtHAPhpp78WnLNw0+Y5zE3uxFAvhefqltiuqxDHDDNzLjxHN3Ey0X2p9QGdwM40YgHsBXCzxBTYCW7juYzBHImdYxwf//savvnDEkLC8s4cmskSJMzKSWLzhqnbkY/v6MwxtawhloYFyQPYXI2Obd2G/WHhOqSOHOs576q3nUDGYqcsUyIyyWJbV4zZMHkmtmRRWq4oGGtLGlECQhhiqeDzGG+7tAEhgb+4toZdY4llJQdylUNnDuQFKZMW7Uy36f9HLQ9K6jMhmRPO4Qoe1zbv/YdjjE8LcKbb7UxXCeYvXIo3v/aKUAjxwgAvVwYQVCofev1rFp58+PkdF3EyCc4V2hHFXNNDGDG0I2bdnbLadnm2Ohq4i8ydSJGu4M6kCecCuw45+PDf1nDTHSWENGm9RoqPLBSWE6TF6yntZG7awbKqwNDd9DfptKTYO7/IkXPkIHvdCXgrGEmZ2n1aCqXbih5O4/xJvJzG4JyqDsKSyEEgjgGHCbzjdU1wBnzkb+vYdcjN5EqOybNZq0AQm28sfAZCEk8NsmAVDZ90nthE4yTd7DxHX7/phsBsOynZhhiD/WWcfMaSOwcGF3wIotlxLmlxw/BgFffcc9vMvkl3ix9MCsffh72T+3HdbbPYsU+h2eZohxSRyDyZ2TXOHDfkmJk7D27aobk1uCmX2DfB8LFra7jph13AXXDoGPbWUYIq7c7AUAS3SsNhUwsGjixPbDznechc2uNbX3YAu8DgtlZRidMlW2gmycf2ripLgEjd+oVsIGPi1dWyaNoexVSsVZIlFjLtzOMCeOulTfznq6cx0hvp/n0qBpQAZPJaJu+VSOz3CrECQqUdNbFKPJJKtxqU6evkeNNjzzBvWNxhgOsQ+C7FklGJd//6fgyPHMYcmUXsxOLk5XTLxodunSG81HFOebcTLQTQbE1f/djO3g3f+B45PYpc9DgU/b6DlYso+usUvitTe48+mE5rCSXHx9xGf9vMTROLScyBf7ylgm9+v4SQ0SRxwdbcvBPcJPNYGpt3t0SGLIhK5Rg7c+QUCv7nPrPBn+10PERudDWx3meyxcroSSdBxu62HiepZQWwY8e1/tY9TmWixTWLQ/vxTJJyYicXyQ8RXdoWRAAcAm+7rIEtOziuub6qZYgxUXRlct0X4qhMrqw7B0haKEiaxOXklFKi9Xa9wrB8gYtlw/34y3fOIpaz2Lij/4lGY+rqWrXe9dzSbhvffMUbsGUXF225QS2u17Cij2HFKEfgM3P3AhLA2jUC815IY3O1gG6DO+fc0Rk6rGAiZCQGZRLgBD+4N8CNPyihnUYEsu4P0NRe7ZBsQcmKjG2AboG226Iwx9QFAwKxAJ0Dv/1/Xgjc5pkgL82TN9Ji71wycmoOLHo5kfbclOl7i+1V/nVaDs704pRUs3rC4EqyJGmCwhUKb39dA5ee0wQRMmFvUWByUWBydGVyaU1MmbJ7EmsiSdrGMsfoFJhrMmzZXcfufUMYO7QIV5xzhlrYr8QZ697Y9fxyHGH84VXnodls3RhPbVu1a/f+cr3CUQ4oPMdk+SQtsXnS39104CXdH9S45IllCrQ0N7FCYCnVnkrqCFAOfOeeAB/62zqe3u4lCcPsKA/N3i6xyh5boLaBbm6DRXDbYO74jHSPJuwmWV4Q3AUPR7HCk7GB6ygIkqI+l4wMU/nJsqbAWnSm7G7rcYBImnZY0HVvDKvTJDte90bV+WP6EBmJsXZZhM99YBp/ToFbf1oCWIy0xrJhcpX/y83C04TK2j2C7JxTSXTBfG1HJ4BQYDFBxHX1qjBSmGtKjE9RKOnAKw/NufULb3Rd/4jnmB7pg+GReeon9z75xZH5yw9HsUKlxHSWTyBR8gR8L0bgRfDdCJ4Tw3HitGyDrcHThRstmAgttiZGmiRJC5TEoFyD+1/vDvDhv6vh6R0JuOmRgK2lCUmYmwO5YCqts7NEhk7zYKaf7RhwY8Pt9jgioEmenbuj+yjbi1aWjkUlsSZB4tZOYJNFH9rPRS2e9eOUMtHeJkNf0ixD3zC7MizOIEOKkxdFuOZPp/GmCxq6oaooMHlOj8t08omEzY3m1vo7cckrksadtARFMyJoRQTNCGiFQLMNNJoCs40Ysw0FSgROPWXx4dmJx784Mjp8xFN9RAYHgLVrV2N2ZgbP73gCA7U2eqsS9UqEajlEtdxG4IVwnQhMlyfN217NtSaZVCFJzmUWYJWFwKaam8RgXIIk4P7otTU8uc3Pg7urRNFVcZ0O9i44U2wwd5MktswoaG0UnoumwtywIw1fYKgioHMWFP0Ddhm3FPQm2lCRJHM9X0fFlLY3rdiLLC4VBUmy8KGo1uNKZa8ltDVKAsKelRGwdkmET//xNJQCvntPCYDINHkaOGPNdsIglK5nEidy3JC9tG4AQhJEyR3LFQoloSCk/kJKAMb0kfT3ljEybwUq1epRz+1RAT44OK9dcbf80RUXDfzvHdt2lmtVhf5aC/VqA/VKE5VSCy6PIBXQbDuIYgexYFCCpgE1qVmfIAG3AqESJIkQpMRaVKaaG7j13gAf+bsanupgbnsxmQd3FimocqxtYktSdkYB2DiKQ6cLeNOldXEygOTZ/BhWmia10C6GXwR+PupQZ68U22zbLnwjSaRxy5uQ1iStzZYtBvhKkqQQp46Xl0Bq5yZUaRMkWHYuQuDUJZrJpQJuuzfITH8m8tBEIkJPIIBAILvjmEhV83dHEmgIINLFBkEVMMMYpgKKtqA6RJbq3pj1uZG5sSn2RyMLR9s/N8B7gkk50rvkwZLPpvfsuqE82j+Jwd5p1Koz2Hkgwm0PEoQCmNcvcOn6NlSrgijmUCrxUVlMiZwWtywmqVkwA/f37vfx51+od5cl1IDbAnriIjdWE6O17RJsOSlSkCjdcgRteWJbUyxsd0gTYm+0Z0NhWxcVknxALAdO5wTINLnF8Kr4KDh+rNdaUptSEzK1qEhjhE6YWyqlO7om8X+mMlma8GuB/JTFEf7Lv5uGUgQ/uM/XTJ/qcAvkyXtJEpNg8hXUzIXEZBILCTeaxmVnTWC0X6AVMzz0TBU791UxHTpoC4VTFrr4jTdcND0yuujB7bum5c8NcO6NwPXZoSja9talK5f+ZG7qNmfbFoGb7/WwaWcv9u0rQQiOWi3ER9+5D1eeA8SCIxY0WfXqAvXpdbbMh5m1RKRAVwz48UMe/uzzNWze6XbR3Ec3CXJix3kXAqlQADUs5kYe3DkQFy0n5n1BnxSjLY53qMKj+Fm3fYyZz27zpz9Tlha3gJ6wuCQqY22avDbaXCY0TKUFeFgLSP1DxvOJUOGUxRE+/4Ep/EkM/OShQHcLz7F3wuBEAmBpBQpz/jnNrFkhi3HVRZP42L9to6dCIWSEnQeaeHLnYdz00xp27fNw2rrzI6nabx3srx0a7C8f9bweFeDlEseDj29Gf+/855+bOHnbX3958+o9h9oIhYuAU/SWFXyuADj4l9sXYvlgG8O9DAoKDhPgXKcz6YuuMnmSSpLkwQTAgR/+zMMHPteDLTs97aEpgpsWwa2lCbekCUXG3vp1oeqWBWTbYoIuQC+yehG8xRjxI5lPjtVU2AH4HGvDijTMtLfZ22bz9HNSYHRiSxM9KU27cP0FUltVEmCrIrhtrrRneSiwalGEv/sPU3j/54A7fhZAUOsPT2u56YdMTqYBt8cUHAaUlMKKUeC3LqpiZqYPs7OA48QYrIW4bF2IC9e2ECsXI8sXbqv2DT8ftZ6EG6w96rlleIHxh+/7AB568PGp3qr/mMf4723evAfz6xwjFYmBisJgFVjQR7FqQYCeSpDWD6FWi79iBVi7EavjxVAcuONBH+//XA+27ErSzXKauzu4kbC1S7Jmraa2SdbXMp9YbGqb5FqEW7HYWZRfl6g/SqzYbZLKFhMrru8WNNkniyTM9iPWfpZsgvX7hc+yOw7J4sOJsr43e3SUtChKsNwkT+6she+BieaDNXkL9v6i7iIAIICBXoENayI8s5Nixx6eJEGYL6PISCmJ7mT6Ju0yoOQq1AOF0ToHIT1ohz5aoYNmy0Wz5aEVeiBKgJUvRCta+Jtj+3Y+PjTSh7/65LVHxe9RGRwAzjptBcanZtBbq+w73JB3z3tg0wU9PEKlxOA5BL5LUKtwDPRwhJFEo82TchNCs4+xoNhueJqBe/cEwX2PBfjEV6rYstODcot621SiOjK4TSc0A+IUHLBT0FRXYJHie2TAyBEVsS+1kSWdD3vtlGP7FzjPxShDJGloRedPB6N3eDhhSRMrTsWyk0sksgSJ3k4KcBKQtEyypETrcKKlprGP2/HgSho7NtEZ9ZHA6oURvvjBKXz8KwoPPBZg1zgAF8l/1NdOgabFfQjRdWlcplDyCFwOjI0DgIN6k6HkSXiOgu+FWL6IYOHixXf7vefvg5wBYbUXgu8LMzgAXPPZz+CCS94wPtRfnxmt06vmpvaip+qi5FGUSxzVMketrG3kgSfhuQIuF2nZCYfr7BtOdV94zmJ4QYRn91F8+it1fOHGKnYd9HTtQGo9SDfLSR7cxQRiajJ00ix55NjcMLrdjzPNqjHMXmBwQguMnmTyEGqzatYEiaax3Na23D75tUAxXPeI9RC7sjVJvXxd90FxuzqKFLPbH1qsfQQmtxmemAkqgMFegYvObGNkVOCZ5zjGJ1jGPIbFKYFHdKSzxwGPK/gugevo2BNAe1bbEcV0g+LwhER96NWo9a74D4fHdtzT07/iWKD7wgxuxpmnLkO1Wn2w5oY39/iHrtz01C6EwkXJJ6gEBIEn4Zrw2VySQ7KQJFkrbQPuv/qHOr51RxktybNsnA7nDTt2cNtZOUCeva0L2sG+lo62L3Q+qlBlVhWLlUn+Sr8ko2OR2Y21bTYntv4uxKuQIouTpEGU/pvsJGaZ3DkoKKSp7iNNYi9AkoWnHXuiiM77BCVJ+0ACRATDPQLvvKIBzwH+6u8JntsLwCfpNRWEIqJ2SQjofjsx0GxrD7kCgZAEjWaEWv8SBPVTbnbKax5sq+ljPpf0WHfs6RvEzMzhnae+av37p8LSLbOhC4cDZZ+g5CuUfAnPVXDTalhZb0rdCCoCZxF8L8Jzeyk+8eU6vvXjClrUAfykXiCx8igJ0+9TiUI6wG274Kmlpc32TKqgQ1fmdGkR5BZYs+15zWmbBG3SywVdHSeSlfVt+YAry+Fj7Wt7M1MvZerNtDLyi/tYFpNiskSxgq0GflKaWdKkpbgdu8IgFIOQDEJwCOkgFg7aLQeuIHjbxQ18/L0TWDavDYQRIENARpBSoiUJQqlTIiOhS0O0I6AVSjRaAs1WjHYosWDUxZqV3i2rTl7//snJsZ2LFgwcM8CPmcE1yOfj/gd+tuvMM87aVOXNN+99fjdc10HgaWnie7GWJ04M1xFwuC6lxlkEh0fwgzZ2jBF8/Mt1fPOOCtrUSUJek0UkujC2CSdDHty25s5LC+sWjYJZ0HoGum9P8wNJAbjW591s3TlmP0427wCyiS4yNvBkW1FrZ3EqlikxBTXJsXpmS0fm/SSWCTH5PZlk6VBFoSCTKlnGgJLEqVAJSL1YBJUgMplUlIIqmRQColARgcMFrrq0CRDgL67twc6DAHwKRSjawsMcJXAFgRsruJGO/9bFTyU4J2iOR+jpX4yTTz5r076dD+xac+qrj+vcHhfAAWDNylFUehdcs237s8siMv32EptFyZcIPIGSb8WnuCFcJ3uAhrhvE8fff7uK//2jKkLmWCGvrDuwEzAZFnZScKu8zZtmzh1adORYiRgZ2FUH2HNsbG3rcNuj+2QpjuNWLAbQlvUvrcmtMh+QBrPtxi96MAFTOiqdEOY5nSx6f5I6f7QSoTSbGDLxRlLoAkKUyhTkRBKoJNwCMBIwaZgFqieHFEnvIE10b7u4BYgJfOnbAo9sBdqx9pzOEReMEDBCYVdZYEzC4wQnrejB+tPm3ejX1l0TTT1/vGf12BaZ9vjMNZ/HijVntWM2fGu/u/eiemlmUdmPUfZjlEshSkEbJb8N323Dc9vw3RYEa+OG73l47zV92Li5goi6gOMC1ENa0tiweLqyIzn3u12kPu/QKcgUC9zdOjQfcZudTGx9lk0Wa2FpmD416+W77VJC0oWpWWgeaZEJS0IVs4tyTXSt48gvEK3vg71+UIVJbT4rTG7b22xNcH1o9gITWUAjQeqZtOuwZK+TuuRJfxOpGBiAU5ZFeMtrGhifBp7ZyhBJnS4XgUEmKxzjx1ASiBVFtdZzz++9fc3bxvY9NnvSKWcdN8CPm8EB4LeveiN2b9/YUOqS8OlHvwkZtRD4MXqqTfRUGnDdFhiN4LohWirC17/r4z/9915MzgWA4yGrWWJkSbYqN88kmX0mp5LB7sBgQNEtDDafrdNNZ3eVKUAnO6cXPLvKHfKlQPdd1EvXYRjV/jyVKnZ8itnBDpG1ZIv5j3q7RmAS/ZN34RvmN04ekkkVmRyQtgCa8hPJNyWtSgBdXJ8QAipl+lsEOkwwZ1+3XkvCQKjuE8QYR28pxKf/cAqcSHztOwpzLYmYx5hou2hwhqhE4VAJTiXcIIjOu+CiJ3/wAG1cfsmv/zxQ/fkADgBOZSWUkj9rsXPOkY27gnr1ACSm8NTuENVSiIWDIZ6fBm65p4TP/I9eTDZKgOsDzAVJWmYbINpgMI+U1Qywk/eZrdsOqDJWDvM6D9L8wlFZ1pI8Cov6usOSUtAjxD7oDkQfK9TzGjx9b72GBfRcMBaSqEGSyBnL0mLr9+K2zH5O0mKYJgSXkCx7SJrpK5H0zdHxKTKJT0ljW0x2UGHVnN1JJISQYIxDCIZa0MZfvXsGHlf4zt0RxpscC4eAIODYeaiKsTkXS0Z8/PaVp27m8f4/JsHCnxemPz/ARwZrmJpufOyCCy5QWx9/+oP3PLnNv+/pEm5/cAC91Tm8/TWHsfFpF7c9WEVblgHXB+UeOE26CZMsws9cOGlpQiAz79GEwTN2zm6zdoZ8XmurvAQoADbHyMibD2G9zwlv66297Zgx3m0o6wtyjG2Z/awFIgqsnHP+GEAj38gqA3q2oNTPdggAyXQ+8hNJAjqMhCLNE6bJIlU3Qcj/oUaqmAPIqiZICK5jyyt+C596zyzOX9fGxqcdvOVCiVrJw/ceauLHjwQYGdrQOvf8199SrQSKO8EvHuAAUK+V5OTef/qEdPqjWzeu+fATT025QyUH8wYYBusTODTF0Q4DICjB4S4CRhAwBZdm9uoU2AoQST5gSjYkz+TFAplHkiF2GGYR2B0LxMLiMQ/uLvIF+f1tMB8Jz8dqVekeaEVyWzNGzkBd3K7SlSXJTQ5lLzxJ9kxSq4vxnJJ08tg/n5rEVdYkyuxPVDaJpDQd37K/gxK9cOQiqWkoCeoViYGawv7JANv3VTC/t46L1oR49dp6+LNtfX/9ha/f/alPvP/Xjxot+ELjRQEcAP7LP5dC4ox+9pQlNFxR3/pJqIief4aD151NcOfjBHgmgOe4qDlAmUm4iRmIJGdEgiAWCpE0qVQka8CLDMhFzW2/P5J2LjJrUZ6YZ2qhsFN/W1+SSh2S34b8ax1kauvz/IHktHWXUYijyutuA8D0XVZSAhZz59zztma3ZYrWNslaIHMCAVaanETuD5RSR4JmNx6SmTABbR9PymqLpDimgpYxOg6JwxUMSlH4YYwde4HrbxvB8/sqOO8kjp66L88/a+Enr35H/+cOH5wNP/H+F4fP47aiFMfd378RX/jkb8XrThkcHxio/FHc2ktftbKB7fub+Kcf1TA2W8OAT9DjSpRdhSDx63hJvZ60SDoyHWjOqB3imiunZoBpg9SSJnmGtz63C1vm/o/lii/sl5ZlSy0h1ra0VFvBQmK56DNLh/06b0XJueyRHXPO7Q7bQpI/B2Ym5vtLZhYT/b12EJXq+H4zOztIIbcuKSxasv+WyJ/EASQYopgjjDnaEUcU6ZryQmr21uxOwBggIPD4Dh8HDwaougqrT14nlbf8A09uwd71Z1/5YuH54hkcAEbnLURvX/9W7lSuXjDY+Putz91Ov3BTDdue78O8CkHNlQgcBY8rDepEFCsJhDFAIl0HGkjX5emws9+PZMfOLlIXTV3Q3F3Fsv3/c8ycXfQik+fs5jZX5+xtRbTkhwk2KlpNitYUFBk8fa8Zm3TZzyTyFlnbPhmmU5k+DpUysVYi1i3E7J+EKxj3t9mKhFhU8l4qgjBmaLYdhBFL+tnrznUOE3AdhigB/PIRio+/axxf/KaDRasulsuXL796waIlWw+Njb0U0HxpAD6yYA2mDm0OV5x05nX/66aflb595/zPb94+hwV1Cp9L+FzBTYq/cp6VIFYKaEUKkdCxCFHitgXsWJJCsgIKmhv5RaR9SYrE00265E1++e+xwZ19RnK/XVQhBPmNxyi/06GPXaMx08uZrlbGA5nsbEuQrGhQsiFBfgp45D2ehNjwtUdB9qj8eUpzH5IFJiE65ZkZmRcrxIJhtuGg2dYFWk3bSIcxuFyiHTG0Q45G08PywRl87HddzMjpf3/+uRuue/ixrWLDujUvBTRfGoADQH1gNZ7aukecdfY7nmPOozN19sPqjt2TCAXVksQh4El9Oc51j3FKCMJIoRkLTE4BMyEAStL4bpaTIPnuC12fLWbvcsk62LuonbstLruxdvE7igyfX1S+AMSLNu9ujFtgdtu6kv5GGlhFLOtIotWLd4MuR5XZ1ZOdDPrtg7TeKqonnjHPmiA7j+qM9/2HAxwc93SJNZK44LluKOxyBS9iiLwYB8YVGuE8nHXORTPLVp/2XBztEutPX/VSwfKlAzgAlEsVzOsLbxm69Ow/Xr0w/pu/+ccf9u3YPYtqicN1CBxG4HACx6FwHQrPpSj5ChduGMdtj8zitgeqaMkAijM4SNibFHpYosC6xyAF7JHbvQsT2yze1UGUPoo6tEuk4dHkCTrxbLarIjOjIFmQuedz+9qAthaWtqXlWIdZZCorO58AafMoyExemVxbzw3BeQt3POLjBw/0Y7SuEHgUnkvguYDLFRyHwGWAG0kAMWKUURq+eHxg5MwPbH6mdcvqkyovISJfYoAvnt8DAGg2Jm5Ye9p5/OLX4Jr7fnr3IBGzEFKXYHY5hetSlHyKallhqFdi7XKJi86YQBw18Z2fjSJmgb6tJRGCdiKDDW77gpHjuHxFt3Rxu/1BxwQqyBeSE/+k64TrivMiqhMWzx1TEdSwJkBhWy6gyiJf265NFI6JCFTivLFrIeobIAGSawIgLccMAIxKeG4b339I4mNfHUBAHbxqURsDdY5KSVdF8xwCz2HgTCGaImB8AK8+5+yx+uir/6OQ0Q0nnTx8zNfwWMcxh8sezwhKvZiZFddfecW5H7ny8pPHJAMoIygHHOUSQyWgqJUV+qoCfdU2AIl5AxS/fu4cmNDV7LKYk6SmNzOpZ3biclYPMbcAs/BxpJHHJckzN5BfuKbxHyTPzJYkIV2+O9vQ/Rhy3ksLiJmzxmJzWNGB5u9MnTzZ56njx/z9xGL/o52PwnGm7UWUCZfVxXmMlUSIrNSbaWPDuMAt9/oYGwsAEEzOKkzOCMzMxZhrCsy1FGabunkrIQ202eqxkUUXf8RluL6vp+flgOLLA3AAqNXrGNtz+3WL5jsfcstD4301hXmDEowR+C5QCSRq5RiVUoTAC9GOBLbudaAo08V7kgafLjMhlCotYJ+rAmuunIldtgCjjoD0DqsXLKtLsv2IOj8HatKxIC2C+3hCZ3PHW/Qo5iYDSScBVLfJkfd6dltA5EyGlnHWEEbmzkcaAy6EfsSCJm0k9UOb/xikYFgxPwZxY8yGBLNNYLapY7vboYCIFfYeEjg0GeHkVYPjLeF+6Pp/ue26cvnomfEvZrxsAAeApSe/FT95UH193UkL//S8DX0zOw/OotGScB2dIFEuxSgn0Yf7Dse4+e4q4Dgoc4WAKZ2UynV9aJfrVCZO84FV+sqa/EJkgfv2hbbBU5QOxUUpyZg6vyMsxiZ5hs/ZDC3D4THJgQJAFboee57Ns50M0NOiqKkJ0JS2ttjc2iNnjSJIw1QJ0VVLjPQw51MIAiEoopgiihnCmCGMtLkvjBjCiKPddnHl+SFGBuYwFSrMtAnmWgqNtkQUKZQDgpGBWTT58AzxVv7p6cvl19/3e7/5ckLwpdXg3cZvXDIpBxewG++7dyAOyt7XVOuAH/gM1XKMShCiHLRRKc/hizd72LG/B+WAo+YolBwFz9GtmlO3vsq3l5Myu8i5KqTIbMRZHLVZ0qED5N1s6RmLW/KEZJo7Z2bsJlFIYSH6AiO1icPW2fkyyWbRp1RS2wRFtrbanBRNh/lfS23XGuimlqQGfrpgNYRh1xRXmdmQEpo2IyME4Fxg8XCId18+gf/8tRomPR8lR8F1FMqeRKMV4ax1y1rbJof/4J/uC741XGu/KDf8sYyXHeBDS9+Lr1z3v0QrLn9r5ZIpQaX7P6tsqz/UGyLwQvRWG3h6Z4Rv3zcM6gbo8xRqnkTgaPZmLLM2SKnz94TUF1lvJ7ocr7QsEwRJiKd2V1PLGmFGBuwMsARWOQizny1XrG2w5QlQkDBFi0on0O07SnrcVmyIbdIz9fuINQlywViw2N0CeofMKf49FnObysDmd2XSSVm/ThhcMghhg1z/v1jogp2EKLhc4I1nz+CmuybwzO4RlDlBLAEpY5x80uKWF4y88w/OHbx5y/ZpseGCd7zc8Ht5JYoZ73n3VVg+PxQP7f6tm05a0fsuUh5qbNkbgrEYIE18+74KDoz3YrgE9AUSNV+hGihUfIKyR1DyCAKHwHO0VOFJ3RWzgBKSJE6i7GESWXNa3B7d9HfBlm2zOqx9ivIkAzzJTYQj/Fx+owVSoCBHittgMSsyhgWs99bX5ywsxZ+2FuqmZg1nEpyKJJ9WQheY0HfMWFCEEUUromi2GeZaHLMNB7NNjpmGi5mGh+m5AJMzFQzWS/i1c2cB2kRTAAtGWzjj9NGGWxp81+vfdNlNP3xgWmy44C2/COi9+FiUYx3//M834rprlmHdOXhq3WsGtlP4r53fc9i/6Z4QX7llCBXuY7giUQsUKgFByacIPALf0bZzlsR7GLuuVDpRtRUTNAVBW2hgGzAbaWFiTOzczVwep8ngSR9WTArJYk2y1oBZmQi7AJD53LT/swv+5K0ymQ5KGb9gg88tclEoxFN83fG+e0PejK2RhK5qzyJL6rybgkycm5LWuvpsLLS+jmKtt9sRQytkaLV1SYcwZogTfW4sLJwRnL6yhem2xJ59FVx18ejU5ecPv/c33/LTGz//DxLvftfbf1Gwe/klij1O3fA7+PTffgN/8Pr6N7bvrzsx6p97YOsT/T4RWNArUQ0A39XA9hwCh1NQqmVJsyUBiGQBqYuzKwXMtAkm27rkLmUEHgUCBsA4iVSeDXPSA93B0Qkgkgdjul+XYCrkF6B55OZHkV2NHMlZMAq27XwceKbVYRflVNl6xYTCmkgSWIFWphMHo0ntGqYbfXGmWw3OUZVUDTaLS4Iwomi0GOZaBELoye86FL6j0A4pWiFDO2To71F4ywUuVi09/XBfdeDPfvyw/w1OFf7sff/2Fwm54w6VeMnGpufG4HD++9//0QOf3fjAnYPNxgwIKMq+dgK5LoXnUHCmj3JyOsK+QxHacaZXx2aBHRNttNptRJKhEXmA46LEKapcocR0gJfHde07J6mBx00kIyWFRrB2PmbW6NVm66M1fiU0X8atOGFQmAD29ly6nRXVyNL3VlkMapeby9ql60a2Km1myxLzqmFpTrWrnCdFmVxHwOVxUgUhhOtGCNw2wjhGJAkazQr27B/G+FQprfnejgj2HOSYnNETzmEErqM9leVAohJIxHGM3p4Szr/wrLH++ed8GIi/Ssj8E4KzXyiD22Pt8kHMzTW++vtXXUTOOol/5ivf+NFgY2oafXUXpcB4vYBSINFTiUHoOP7Hd8tgoKgEBOWAYdlChTf0NdFfH8d0K8Z136nj2YO9aCJI4lkA19LgHcxsSZOOYj82e+eeDSgLIE4/I13lgz1yJstsXac/I1nHbKWQZjjlog5hF/Uxr01mvV5YQwEkaa+dVo9NAq5se7eeCAKOE6PkN/H8WIj//t0yppoV9JQ8DJY81MouqiWBWknAcVr46dMEXDiol5F4KHXoRaMFUMSo1TlKQ68dqw6e+5F2G1/1/SO3GHm5xwkDOACUyyUoNXPd6evPjF9/mH5++1P39daDCThcotWm8ByJvnqExaNT+MkT09g/VcJoVcuYvrqDVQuBM1aXsXR+C+XgMJaMHMIHruU4MOugxRyUVFJ7z76o6cXN4rs7+tLTLGM+i1dJKlsZq0sHUxc7sVnWmG7yxAqYSi04AExBqZxNPBdv0rkQVUr/v7TtZRInknZDTiwhimYLUfN7lOqKYy6PMD4d4j99tYJv3TOKMq9g+RBwxjKKFQsJOGPoqcQY6pvFyGALd20cwfJBhd6qgusQNNoELieo1wdwydkbJoKedX8+NhF/bcHISxtbcrzjF2JFOdogpAqK8g1XXHjm75y9fuUHT1m7Jjow0YCUAoEn0V9vYcHIOO55ykejzXSHW5ei5Gs0Hp5ysXesjJlGBa/fEKGv2oQSUdrNK3W8FFjbXmhmEqRoJiQ5xs6O2QaztaijWV3CXJkI6x+AhEkVJFTBvJeUK1Z5IBsHlipsNw+T8pd1LUvSxkynMpm3a6eJJUlTAkYkHB5hfFbi1gfq8PwA8/sVhmsxAIlGS6HVJogFQeARnLOmjT3jEQ7NELTaClIq9NbmsG792qjcs/yDw/PP/Z2RwcoNJxrcwCsA4ADguI4Mw923XHDJBV8Kelf/ycjic8Vc25cKEoO9s/jJozG27Cmj4upqtr5n9LnO5o5ihlbbBaUO/s2lDbgktvILrdsxMXo709eMZPHpaXnkbubAoqYGcjLGLoaZlU7udATlIgAVElmhspZ5xqZv2blhnnI2QJKfCMoAmiT+ApJ/CP0s02ZUqe8IhEooCPzLHQFiGcDjFB7TlhQhFdqRTBpBMTRaHlbNp7hw3QT2zWgSGR2qyDdffr644JxVf7LunMu/tHXH7ls45y+7E+dYxisC4ADQN7AGGx+fCV1/wQ3DQ0tPWb5i5V8uW1LFfU/N4pNfrWNszEe9pFAOaBKCqb2c2pylPW2UUJy5OgIn+txmPTrzxX7ShSUjoMwCPUEOqB3K4khgt4v+2AtV65HUDQWQgTj3UJoJTd9I0/k3z9okL02QZ36hbHAjca+T9H3WQc3qvCaR3lce3uxACgYn+RuU0gUx26FEowXMNhmm51yM9nN84vfHccbqMTiVISxbtuIvly9ddsryhaM3zK/uDdefdsqJhlM6TqgGL44zX7UKAJr333Pzlitee+Fnb/w/0r3jSXp1RLdXB2ptr+p7qJc5qmWGwJOJG1+leYkEWQ09u5QbIxaoE/ZmlKQ5oUZa2N7JVDsXTX7ph0g1eWpB6VIVC8gWi2mmusXigHWnMP8h6fahWKcHNjfMotOOWUkmplKJJk+OlxJt1hMsY/V8M1izvshuGVLpLoHtUGKmITE5QzFdc3BwnII7AT76uyvF85Mjn3pk02Wfvf/RB8Vv/5sLTjSEOsYrCuBmvPr8K/HFr98oXLf6qe8/VP7MtX+28v98/+6py9AWmD9M0FcXQBIvzqzuye1Y4bb7PUSKwiEkCbUl4FSC0cw86DDA4ZrBmeWsMSMHKOtWbg/b+2nfIRjLJzMD+cg+7XnVjG1yIo1TSSWu8rTFSLJA7BpnUBiprT+xykhFdJsdZv4LBSESVOhsqtQxIymEZAAYLj+7jTufFIglEFvxPmEkcXA8RLvNUC058MsjCJ0z2heed+V/29Df+/HHH7kep53xeycaNl3HKxLgAPDvtLcr3LpzHAA29g1u95565Ad09eLxc/YdOMQPTfSh7BMwqrSLmcUQIsYdG+sQxEWVqTTkNgM30XZwrr2jnBJQlkkNHRqagK94QAZklp42NnAjTTJ7epKgQTObPRFZa2ohJYQwCQUKlGpwG7u6MTem3QLRPY4mF7+tkMaIGEanFGAy60OpW5xTxFRBsCzsVcQMSjFcur4B9vUYoVKIRNaGsFIi2D8+ixCD8VzUc9/6sy+Vg6ML76P08MfGDjcw2F860XA54njFAtyMlYv7AOCjB3fcgPNOXlLd9vzAVx7dVr2q1WpRSmdRq4aolNpwuG4gy10HjDHt5EkcO47JBWWAw7U5y3WozgtNQIWkOquAMs158wkJhXSYzELSqe950mKIUUt1xEAsASUVokgijhObNAWY1BPNVO8iJKkPmMgEah1HzoZt3SEUSBqMZhaphOi7lDDvQZO1hwIXFDxxv4cxRxS7aLXbUCJGJBUmmhQuJaiVJIYHKjjv7CF5qLX4m7Pt+nu+fsuumQ+9b8OJhsYxjVc8wM0YWvLbuG/jzhnH8f903fp9z84demxtxd935cT0A/AciVpZ4d5NHsanAwQORdmR8B3AsUpV8CQn1HO0p5RzCkY1SIVUiIVMuoqZUACNLJravpVVTsHo9Kxtick64lwvgPXv6jYpQuhF32QsMNcUqa2aJmsBrgDCdUdhXbQy+117pGZOU5kAyUQwlQliglhk0ZWc6juWUqZTMAHnFHFMEVGGNuXgzEWr7aK/xnHe2hbu3KTAvDYcv4VVq07CyLyhmy+56PRNwwuGvyBb7RkWLDvRcDjm8UsDcAA4Z/1iADg0N7X7L0q1Kxc/tPFhbHqmeuX+yadQ8vbiRw8TTEwHGKooVFwF31HwOMAT+cAZErcyhe8xOA4FTxaXkVBoh4AQGnxCqNRJRCnAYRaisLyBeYsJI4kUSpI0HK6TOxyuGwS4rsSmHQoTkwqBq+8mDjeJCTTV9FIqSEL0ItNmbytoyrjkkdQhMSbCKNa93eNYCxudB6u/X8ec6MVmLCjaEVJbuMMDDPQ2cd6pER56MsabzvTxa5etwcjompv7es/8wERzaufICXK3v5jxSwVwM8r1hbjrkf07ubf2z1ml94Y1i9a/3wsevJA6j6PHBwZKAmUPCDzNzjLpPMqZZu/AZygHFL5L4HDtdGmHGgTttkQstO3XsCznGtAssTfb2TodJkimwJnSpRE8hcDVjQGG+5pw/Fnsnqxg/FCAkR6Jkgt4roJKCv4ZRme0s4uxGZqFFRyu1xeEJrHbiqLZJmiFCrMNgTDSFM45ge8yKOi7ledmjq92xBDGNF1wxnGIermCd755A971plV3veoU+gW3uuhx4PBOQpae6Mv+c41fSoADwIVnjADAs0qpZwFsmtg7NXrphad/OfC2rHjsscfZXDNEX5WjViPYvEdAhkBvlcDzNLjrSVc43xMgBGg0GaQkmJwB5loKcy2NKocReElkopSk4DzKW1OMTHEY4DgKviMQ+DEq5RC9tQZmwmnMhi4OzZVR9kw2DUnYWEJQCi5VslhUWeqd7V6nKrkT6e93HA1kSh3MNCiaLYGJqQjNtjZw+y5ByZdQ4OCMoRwQBL4AJU1s3V1Cvcww2BdhrlVGbXCDuPL1K56961G8d8PZ5+8DsIV0kUm/TOOXFuBmJBdgy/adk1tWLBGX+zyY//ZfO/2bGx/6fu3ZZ2fLfb2H8NTzMUQYwHMpygFDrQz01gR6axF6qy34XoSZOQ9CVrB1j8TWAzHCmKPqKVR9bXfjzKoNkos/ydz5aQIB07LEcSR8VyDwYvheGw6LACnQDIFGROAm6wPOFZggcHjmzQSQJUNYjh6TReM6AqVSjGrQRikIEcUEM3M9GJ+m2LpPYroFlByF/rJCT1UHzHJGUA4IPCdGrKaxaTtwytIRtP2Fcxede8l0PRBvHZ6/4PnfWc52/rID24xfeoCbsXRxD5SSO5cv7dsNNb6G88teff457CvP7d5SeWD71p7m4TH0VDlqZYV6WaCvHmP+4Axa8RRuvs9DT1VBtAhKgYs3nN/ArsMx7nmkFwQaiFIaBjVeT9LFAZTZ5k1oqsN1SKrDY1AqACnQFgrtWHcVi4XSaWBSJVIqn5Nj8k+ZZR3RAJeoBCF66zO48/E29h4M0FOKUKlRnLy6id5aC7c/4GPnYV/n5agYhACuo7NvFi2cN/O6S04fX7z4dO556g/rfUvuHx2sTQkBSeivBriBV5Cr/qUYRLeJlmOHoom+vsW389YTS87c8OZ//+kPvefJt7zx7EdWLht6dKCv0hoacFAvNxHKaXz5uxzfu3cAPvExORfCZQSvPa2Ej7xjCvNH5zDRoIhFcrIowBnVi9PEfp661o2tmea1uH4IMCp1ci8kIqUQSiAWOl/RTq8DkAvU0u5y3YEvFtnvcKZQL4fYdbCBa26s4ccPDSKOXdRqEURYwpVnuviDN05C8jYOTyvE8OH4lRb3eh8t95/75IpTr/7Utddft7xUqq1aOG/B7RDNCUKI5PxXB9zArxCD22NoaAQA5PScAKX0q57bvt7hDAtXnsTK5dKXqv7Mqqnx585/ZOsz7MGnPLx6uYuVC6ZweFpgYqKK8SkP80c8uCxEO9bSgFLA4dr64ns6FCCKNQMrqU160sl0cpp8wEwLc5l6faTU1XRFLh5FLywp0WY8l+vAr1goxLECiQGAwnNIsvhVcJ0YsZJQsYeBKuB7wMHZEE9tA57a3ouLXxVh2wEGyJVizaql98wfLm9pNOauBhGC8RL+9YYbVE/f4saJvl4v5/iVBLgZtXKacmru+3Frbvo9XuD37t23/9Pfuv877qLhA2LdqbV1vFRaPzF3AJTEcJ0Is40IE7Ne6lDhVJsXa2WCWlmnh41NKjSacSJVGHwv6QxnZambpAJdZ0TXuZBJJwvD/EIqiCSflCaWjkqgdf3kDDA1E0EpICoz+C5DLHVTVqkIaqUYvh9icoZhZpZh6YiL5tphRLS2URH28Pve0s9qw1eGjj//o0o0JwYGXri/+6/S+JUGeLfhl2sAMAHgfQCwffOd4IxcuG1/47JT1jTeOliJV48OjuM797Qwf4CAtCSUjNBsU3iOg6FeiWULZqFUiB8+WMWWPQI9ZYKRfqBW4dpE6OjwgdSLSSSIEwOuBCIJxBKxYqmFJJb6biCEdteXfYJ5AxHq1RAbNzt4ck8bRFIsG1Eo+4AUIRqtCONTDLOtMn73jUAkz8Apy+pYtZRtXjPtfXNssuf7WyflXb95wUUA/uOJPu0nbPw/B/DiWLr6IgC4a2Ji4q7T1uBuosTyg+MH5ANbtsvfeE19KbD8w9t37UEsOEZqE5g/uBvTzQk8u9MHJR7qPW3s3Oui7FOM9FNUSzFG+hpohQyNJkfJD+G5MZrNEDueJ1iyoImtYw2EUQ2MEpQ8bVGZauqgsb66RCUQmD80hR0Hm4jjXqxe1MbWPW08s7uExfOGsXz5AjRaIXjPQkzvee6zbz5vz3Z/8BxaLo9Q33Oemw/cXq/3nOhT+4oY/88D3Ize3l4AuN28Hzt4EI7r9Ywf3n/fPRtdjE+T6Nw1az44OjD7us17BFaUXTzx+MN4zfox3DjDIeGhXHIw2DeDGPvx40d6MNpbx3B/EzPNFr72Ax+btgGXnd3C4MA4brzTxXSTYs1CisGhJm5/WOJQo46Vro/eHoA6BD97phfrVg3gjZevw1wcY+tuH4sG2A/mzZ/+/IHDsVPrX483nvZrd7XD9mRfX9+JPoWvyPH/AX6EMTg0BACTAP4VACYn9gPAMw5rD48qLlcvD7Hp6S3oq82gVCagzIHLZbSrfd4n+oKxNy1dEka1cg/6R8awfZ8Dp+xgw2kEIyMSV4wKDAyVsGd/hDNXBihXGli41HFWL65859bbtn7Ccx1HKAeNVhmDfWXMW3Qq+vs45i8ktOKzA0qp7eefOu9En6JfivGrZRM6weO/ff0BSJDhkwZ31j1MKkLqWLPyEJ7YWsW+SY66r8NVK6UQByc4ntzRxJrFJSjSRq3qkTe8pncKUh0gpctP9J/yKzP+LwVLbq6rAchCAAAAJXRFWHRkYXRlOmNyZWF0ZQAyMDIwLTExLTA3VDE2OjU1OjA3KzAwOjAwLNNCugAAACV0RVh0ZGF0ZTptb2RpZnkAMjAyMC0xMS0wN1QxNjo1NTowNyswMDowMF2O+gYAAAA5dEVYdFNvZnR3YXJlAG1hdHBsb3RsaWIgdmVyc2lvbiAyLjIuNSwgaHR0cDovL21hdHBsb3RsaWIub3JnL0jPKKMAAAAASUVORK5CYII=', 'weight': 4}
-
mf_hecke_traces • Show schema
Hide schema
-
id: 47335495
{'hecke_orbit_code': 27021872709238973, 'n': 1, 'trace_an': 14}
-
id: 47335496
{'hecke_orbit_code': 27021872709238973, 'n': 2, 'trace_an': 1}
-
id: 47335497
{'hecke_orbit_code': 27021872709238973, 'n': 3, 'trace_an': 0}
-
id: 47335498
{'hecke_orbit_code': 27021872709238973, 'n': 4, 'trace_an': -31}
-
id: 47335499
{'hecke_orbit_code': 27021872709238973, 'n': 5, 'trace_an': -1}
-
id: 47335500
{'hecke_orbit_code': 27021872709238973, 'n': 6, 'trace_an': 0}
-
id: 47335501
{'hecke_orbit_code': 27021872709238973, 'n': 7, 'trace_an': 20}
-
id: 47335502
{'hecke_orbit_code': 27021872709238973, 'n': 8, 'trace_an': -168}
-
id: 47335503
{'hecke_orbit_code': 27021872709238973, 'n': 9, 'trace_an': 0}
-
id: 47335504
{'hecke_orbit_code': 27021872709238973, 'n': 10, 'trace_an': -12}
-
id: 47335505
{'hecke_orbit_code': 27021872709238973, 'n': 11, 'trace_an': 98}
-
id: 47335506
{'hecke_orbit_code': 27021872709238973, 'n': 12, 'trace_an': 0}
-
id: 47335507
{'hecke_orbit_code': 27021872709238973, 'n': 13, 'trace_an': -248}
-
id: 47335508
{'hecke_orbit_code': 27021872709238973, 'n': 14, 'trace_an': 134}
-
id: 47335509
{'hecke_orbit_code': 27021872709238973, 'n': 15, 'trace_an': 0}
-
id: 47335510
{'hecke_orbit_code': 27021872709238973, 'n': 16, 'trace_an': -139}
-
id: 47335511
{'hecke_orbit_code': 27021872709238973, 'n': 17, 'trace_an': 30}
-
id: 47335512
{'hecke_orbit_code': 27021872709238973, 'n': 18, 'trace_an': 0}
-
id: 47335513
{'hecke_orbit_code': 27021872709238973, 'n': 19, 'trace_an': -182}
-
id: 47335514
{'hecke_orbit_code': 27021872709238973, 'n': 20, 'trace_an': 220}
-
id: 47335515
{'hecke_orbit_code': 27021872709238973, 'n': 21, 'trace_an': 0}
-
id: 47335516
{'hecke_orbit_code': 27021872709238973, 'n': 22, 'trace_an': 552}
-
id: 47335517
{'hecke_orbit_code': 27021872709238973, 'n': 23, 'trace_an': -6}
-
id: 47335518
{'hecke_orbit_code': 27021872709238973, 'n': 24, 'trace_an': 0}
-
id: 47335519
{'hecke_orbit_code': 27021872709238973, 'n': 25, 'trace_an': -388}
-
id: 47335520
{'hecke_orbit_code': 27021872709238973, 'n': 26, 'trace_an': -245}
-
id: 47335521
{'hecke_orbit_code': 27021872709238973, 'n': 27, 'trace_an': 0}
-
id: 47335522
{'hecke_orbit_code': 27021872709238973, 'n': 28, 'trace_an': 425}
-
id: 47335523
{'hecke_orbit_code': 27021872709238973, 'n': 29, 'trace_an': -646}
-
id: 47335524
{'hecke_orbit_code': 27021872709238973, 'n': 30, 'trace_an': 0}
-
id: 47335525
{'hecke_orbit_code': 27021872709238973, 'n': 31, 'trace_an': -26}
-
id: 47335526
{'hecke_orbit_code': 27021872709238973, 'n': 32, 'trace_an': 398}
-
id: 47335527
{'hecke_orbit_code': 27021872709238973, 'n': 33, 'trace_an': 0}
-
id: 47335528
{'hecke_orbit_code': 27021872709238973, 'n': 34, 'trace_an': 228}
-
id: 47335529
{'hecke_orbit_code': 27021872709238973, 'n': 35, 'trace_an': -1025}
-
id: 47335530
{'hecke_orbit_code': 27021872709238973, 'n': 36, 'trace_an': 0}
-
id: 47335531
{'hecke_orbit_code': 27021872709238973, 'n': 37, 'trace_an': 112}
-
id: 47335532
{'hecke_orbit_code': 27021872709238973, 'n': 38, 'trace_an': 1015}
-
id: 47335533
{'hecke_orbit_code': 27021872709238973, 'n': 39, 'trace_an': 0}
-
id: 47335534
{'hecke_orbit_code': 27021872709238973, 'n': 40, 'trace_an': 147}
-
id: 47335535
{'hecke_orbit_code': 27021872709238973, 'n': 41, 'trace_an': 1048}
-
id: 47335536
{'hecke_orbit_code': 27021872709238973, 'n': 42, 'trace_an': 0}
-
id: 47335537
{'hecke_orbit_code': 27021872709238973, 'n': 43, 'trace_an': 16}
-
id: 47335538
{'hecke_orbit_code': 27021872709238973, 'n': 44, 'trace_an': 937}
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