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mf_newforms • Show schema
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{'Nk2': 456, 'analytic_conductor': 0.9102945830425964, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 19, 'char_degree': 6, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [114, 9, [77, 97], [9, 7]], 'cm_discs': [], 'conrey_index': 25, 'conrey_indexes': [25, 43, 55, 61, 73, 85], 'dim': 6, 'field_disc': -19683, 'field_disc_factorization': [[-1, 1], [3, 9]], 'field_poly': [1, 0, 0, -1, 0, 0, 1], 'field_poly_is_cyclotomic': True, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 18, 'has_non_self_twist': 1, 'hecke_cutters': [[5, [81, 162, 162, 90, 36, 9, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 549789368434, 'hecke_ring_generator_nbound': 2, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 2, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1], [1, 1, 19, 5, 1, 9, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '114.2.i.a', 'level': 114, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19], 'level_radical': 114, 'minimal_twist': '114.2.i.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 5, 'qexp_display': 'q+\\zeta_{18}q^{2}+\\zeta_{18}^{4}q^{3}+\\zeta_{18}^{2}q^{4}+(-1+\\cdots)q^{5}+\\cdots', 'related_objects': [], 'relative_dim': 1, 'rm_discs': [], 'sato_tate_group': '1.2.3.c9', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '114.2.i', 'trace_display': [0, 0, -9, 9], 'trace_hash': 315104364981473426, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.019', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.943', 'prec': 17}, {'__RealLiteral__': 0, 'data': '3.376', 'prec': 17}, {'__RealLiteral__': 0, 'data': '114.949', 'prec': 24}, {'__RealLiteral__': 0, 'data': '223.328', 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mf_hecke_cc • Show schema
Hide schema
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'114.2.i.a.61.1', 'level': 114, 'weight': 2}
-
mf_newspaces • Show schema
Hide schema
{'Nk2': 456, 'analytic_conductor': 0.9102945830425964, 'char_conductor': 19, 'char_degree': 6, 'char_is_real': False, 'char_orbit_index': 9, 'char_orbit_label': 'i', 'char_order': 9, 'char_parity': 1, 'char_values': [114, 9, [77, 97], [9, 7]], 'conrey_index': 25, 'cusp_dim': 96, 'dim': 24, 'eis_dim': 48, 'eis_new_dim': 0, 'hecke_cutter_primes': [5], 'hecke_orbit_code': 549789368434, 'hecke_orbit_dims': [6, 6, 6, 6], 'label': '114.2.i', 'level': 114, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [2, 3, 19], 'level_radical': 114, 'mf_dim': 144, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 5, 'relative_dim': 4, 'sturm_bound': 40, 'trace_bound': 5, 'trace_display': [0, 0, 0, 12], 'traces': [24, 0, 0, 0, 0, 0, 12, 0, 0, 0, 12, 0, 0, -24, -24, 0, -12, 0, -24, -24, -24, 24, 0, 0, 12, -12, 0, 0, 0, 0, -12, 0, 12, 12, -12, 0, 0, 12, 0, 0, -12, 12, -24, 12, 12, 12, 12, 0, -24, 0, 0, 0, 48, 0, 0, 24, 12, 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mf_twists_cc • Show schema
Hide schema
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id: 6323501
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 61, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368434, 'target_is_minimal': True, 'target_label': '114.2.i.a.61.1', 'target_level': 114, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 6323502
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015772932571478, 'target_is_minimal': False, 'target_label': '342.2.u.e.289.1', 'target_level': 342, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 6323503
{'conductor': 4, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 289, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2748812624784, 'target_is_minimal': False, 'target_label': '912.2.bo.a.289.1', 'target_level': 912, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '4.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 6323504
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 43, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 549789368434, 'target_is_minimal': True, 'target_label': '114.2.i.a.43.1', 'target_level': 114, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '19.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 6323505
{'conductor': 19, 'degree': 6, 'order': 9, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 72057594071484534, 'target_is_minimal': False, 'target_label': '2166.2.a.q.1.2', 'target_level': 2166, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '19.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 6323506
{'conductor': 19, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326225526, 'target_is_minimal': False, 'target_label': '2166.2.a.s.1.2', 'target_level': 2166, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '19.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 6323507
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 271, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 18015772932571478, 'target_is_minimal': False, 'target_label': '342.2.u.e.271.1', 'target_level': 342, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '57.5', 'twisting_conrey_index': 5, 'weight': 2}
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id: 6323508
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': 1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 171136785873639778, 'target_is_minimal': False, 'target_label': '6498.2.a.bm.1.2', 'target_level': 6498, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '57.29', 'twisting_conrey_index': 29, 'weight': 2}
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id: 6323509
{'conductor': 57, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 2, 'target_hecke_orbit_code': 193654784010492258, 'target_is_minimal': False, 'target_label': '6498.2.a.br.1.2', 'target_level': 6498, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '57.47', 'twisting_conrey_index': 47, 'weight': 2}
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id: 6323510
{'conductor': 76, 'degree': 6, 'order': 18, 'parity': -1, 'source_conrey_index': 61, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 549789368434, 'source_is_minimal': True, 'source_label': '114.2.i.a.61.1', 'source_level': 114, 'target_conrey_index': 385, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 2748812624784, 'target_is_minimal': False, 'target_label': '912.2.bo.a.385.1', 'target_level': 912, 'twist_class_label': '114.2.i.a.43.1', 'twist_class_level': 114, 'twisting_char_label': '76.43', 'twisting_conrey_index': 43, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 327150
{'charpoly_factorization': [[[1, 0, 0, -1, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 2}
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id: 327151
{'charpoly_factorization': [[[1, 0, 0, 1, 0, 0, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 3}
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id: 327152
{'charpoly_factorization': [[[81, 162, 162, 90, 36, 9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 5}
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id: 327153
{'charpoly_factorization': [[[361, -456, 405, -178, 57, -9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 7}
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id: 327154
{'charpoly_factorization': [[[81, 81, 81, 18, 9, 0, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 11}
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id: 327155
{'charpoly_factorization': [[[1369, -1443, 885, -352, 96, -15, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 13}
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id: 327156
{'charpoly_factorization': [[[81, 81, 81, 72, 36, 9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 17}
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id: 327157
{'charpoly_factorization': [[[6859, 4332, 1482, 385, 78, 12, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 19}
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id: 327158
{'charpoly_factorization': [[[81, -162, 162, -90, 36, -9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 23}
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id: 327159
{'charpoly_factorization': [[[29241, -6156, 2106, -72, -18, 9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 29}
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id: 327160
{'charpoly_factorization': [[[292681, 35706, 9225, 488, 147, 9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 31}
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id: 327161
{'charpoly_factorization': [[[1, 15, -9, 1], 2]], 'hecke_orbit_code': 549789368434, 'p': 37}
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id: 327162
{'charpoly_factorization': [[[210681, -111537, 27702, -4104, 405, -27, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 41}
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id: 327163
{'charpoly_factorization': [[[32041, 23091, 7662, 1592, 231, 21, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 43}
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id: 327164
{'charpoly_factorization': [[[23409, -15147, 6804, -2016, 333, -27, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 47}
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id: 327165
{'charpoly_factorization': [[[81, 324, 486, 315, 90, 0, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 53}
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id: 327166
{'charpoly_factorization': [[[6561, 6561, 729, -648, 162, -9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 59}
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id: 327167
{'charpoly_factorization': [[[94249, 12894, 1821, 161, -12, 3, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 61}
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id: 327168
{'charpoly_factorization': [[[2809, -1272, 5502, 224, -66, 3, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 67}
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id: 327169
{'charpoly_factorization': [[[263169, 13851, 9720, 1728, -27, -9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 71}
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id: 327170
{'charpoly_factorization': [[[54289, -32853, 5754, -244, 78, 12, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 73}
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id: 327171
{'charpoly_factorization': [[[2809, -14151, 30144, 3356, 231, 21, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 79}
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id: 327172
{'charpoly_factorization': [[[408321, 92016, 26487, -18, 225, 9, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 83}
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id: 327173
{'charpoly_factorization': [[[431649, -5913, -4374, 900, 90, 0, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 89}
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id: 327174
{'charpoly_factorization': [[[2679769, 751383, 141156, 17675, 1323, 54, 1], 1]], 'hecke_orbit_code': 549789368434, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 9, 'hecke_orbit': 1, 'label': '114.2.i.a', 'level': 114, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 37877000
{'hecke_orbit_code': 549789368434, 'n': 1, 'trace_an': 6}
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id: 37877001
{'hecke_orbit_code': 549789368434, 'n': 2, 'trace_an': 0}
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id: 37877002
{'hecke_orbit_code': 549789368434, 'n': 3, 'trace_an': 0}
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id: 37877003
{'hecke_orbit_code': 549789368434, 'n': 4, 'trace_an': 0}
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id: 37877004
{'hecke_orbit_code': 549789368434, 'n': 5, 'trace_an': -9}
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id: 37877005
{'hecke_orbit_code': 549789368434, 'n': 6, 'trace_an': 0}
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id: 37877006
{'hecke_orbit_code': 549789368434, 'n': 7, 'trace_an': 9}
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id: 37877007
{'hecke_orbit_code': 549789368434, 'n': 8, 'trace_an': 3}
-
id: 37877008
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id: 37877830
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id: 37877832
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id: 37877833
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id: 37877834
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id: 37877835
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id: 37877836
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id: 37877837
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id: 37877838
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id: 37877839
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id: 37877840
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id: 37877842
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id: 37877843
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id: 37877844
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id: 37877845
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id: 37877846
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id: 37877847
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id: 37877848
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id: 37877849
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id: 37877850
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id: 37877851
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id: 37877852
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id: 37877853
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id: 37877854
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id: 37877855
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id: 37877856
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id: 37877857
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id: 37877858
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id: 37877859
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id: 37877860
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id: 37877862
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id: 37877863
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id: 37877864
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id: 37877865
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id: 37877866
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id: 37877867
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id: 37877868
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id: 37877869
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id: 37877870
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id: 37877871
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id: 37877872
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id: 37877873
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id: 37877874
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id: 37877875
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id: 37877876
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id: 37877877
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id: 37877878
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id: 37877879
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id: 37877880
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id: 37877881
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id: 37877882
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id: 37877883
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id: 37877884
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id: 37877885
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id: 37877886
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id: 37877887
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id: 37877888
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id: 37877889
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id: 37877890
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id: 37877891
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id: 37877892
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id: 37877893
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id: 37877894
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id: 37877895
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id: 37877896
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id: 37877897
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id: 37877898
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id: 37877899
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id: 37877900
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id: 37877901
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id: 37877902
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id: 37877903
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id: 37877904
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id: 37877905
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id: 37877906
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id: 37877907
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id: 37877908
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id: 37877909
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id: 37877910
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id: 37877911
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id: 37877912
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id: 37877913
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id: 37877914
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id: 37877915
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id: 37877916
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id: 37877917
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id: 37877918
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id: 37877919
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id: 37877920
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id: 37877921
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id: 37877922
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id: 37877923
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id: 37877924
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id: 37877925
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id: 37877926
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id: 37877927
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id: 37877928
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id: 37877929
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id: 37877930
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id: 37877931
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id: 37877932
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id: 37877933
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id: 37877934
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id: 37877935
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id: 37877936
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id: 37877937
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id: 37877938
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id: 37877939
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id: 37877940
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id: 37877941
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id: 37877942
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id: 37877943
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id: 37877944
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id: 37877945
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id: 37877946
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id: 37877947
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id: 37877948
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id: 37877949
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id: 37877950
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id: 37877951
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id: 37877952
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id: 37877953
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id: 37877954
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id: 37877955
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id: 37877956
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id: 37877957
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id: 37877958
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id: 37877959
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id: 37877960
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id: 37877961
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id: 37877962
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id: 37877963
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id: 37877964
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id: 37877965
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id: 37877966
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id: 37877967
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id: 37877968
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id: 37877969
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id: 37877970
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id: 37877971
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id: 37877972
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id: 37877973
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id: 37877974
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id: 37877975
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id: 37877976
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id: 37877977
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id: 37877978
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id: 37877979
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id: 37877980
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id: 37877981
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id: 37877982
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id: 37877983
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id: 37877984
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id: 37877985
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id: 37877986
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id: 37877987
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id: 37877988
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id: 37877989
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id: 37877990
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id: 37877991
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id: 37877992
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id: 37877993
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id: 37877994
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id: 37877995
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id: 37877996
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id: 37877997
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id: 37877998
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id: 37877999
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