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mf_newforms • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 13, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 3, 2]], 'cm_discs': [], 'conrey_index': 22, 'conrey_indexes': [22, 211], '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': [[2, [1, 3, 9, 2, 3, 0, 1]]], 'hecke_orbit': 1, 'hecke_orbit_code': 687228322065, 'hecke_ring_generator_nbound': 13, '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, 13, 3, 1, 3, 0]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': False, 'is_self_twist': False, 'is_twist_minimal': True, 'label': '273.2.k.a', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'minimal_twist': '273.2.k.a', 'nf_label': '6.0.19683.1', 'prim_orbit_index': 3, 'qexp_display': 'q+(\\zeta_{18}-\\zeta_{18}^{2}-\\zeta_{18}^{4}+\\zeta_{18}^{5})q^{2}+\\cdots', 'related_objects': [], 'relative_dim': 3, 'rm_discs': [], 'sato_tate_group': '1.2.3.c3', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '273.2.k', 'trace_display': [0, -3, 12, 3], 'trace_hash': 1675317009557708592, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.026', 'prec': 17}, {'__RealLiteral__': 0, 'data': '5.582', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.897', 'prec': 17}, {'__RealLiteral__': 0, 'data': '119.695', 'prec': 24}, {'__RealLiteral__': 0, 'data': '39.473', 'prec': 20}, {'__RealLiteral__': 0, 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mf_hecke_cc • Show schema
Hide schema
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mf_newspaces • Show schema
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{'Nk2': 1092, 'analytic_conductor': 2.1799159751809545, 'char_conductor': 13, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 11, 'char_orbit_label': 'k', 'char_order': 3, 'char_parity': 1, 'char_values': [273, 3, [92, 157, 106], [3, 3, 2]], 'conrey_index': 22, 'cusp_dim': 68, 'dim': 24, 'eis_dim': 16, 'eis_new_dim': 0, 'hecke_cutter_primes': [2], 'hecke_orbit_code': 687228322065, 'hecke_orbit_dims': [6, 6, 6, 6], 'label': '273.2.k', 'level': 273, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': True, 'level_primes': [3, 7, 13], 'level_radical': 273, 'mf_dim': 84, 'mf_new_dim': 24, 'num_forms': 4, 'prim_orbit_index': 3, 'relative_dim': 12, 'sturm_bound': 74, 'trace_bound': 3, 'trace_display': [4, 0, 16, 0], 'traces': [24, 4, 0, -8, 16, 0, 0, -24, -12, 4, -4, -16, 4, 0, -4, 8, -20, -8, 8, 20, 0, -4, -8, 0, 40, -20, 0, 0, -12, 16, -8, -12, -4, 32, 4, -8, -8, 56, 8, 16, -16, 4, 28, -48, -8, 20, -48, 0, -12, -4, -24, -20, 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mf_twists_cc • Show schema
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id: 7790095
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322065, 'source_is_minimal': True, 'source_label': '273.2.k.a.211.1', 'source_level': 273, 'target_conrey_index': 211, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322065, 'target_is_minimal': True, 'target_label': '273.2.k.a.211.1', 'target_level': 273, 'twist_class_label': '273.2.k.a.22.1', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 7790096
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322065, 'source_is_minimal': True, 'source_label': '273.2.k.a.211.1', 'source_level': 273, 'target_conrey_index': 757, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022559870452531, 'target_is_minimal': False, 'target_label': '819.2.o.g.757.3', 'target_level': 819, 'twist_class_label': '273.2.k.a.22.1', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 7790097
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322065, 'source_is_minimal': True, 'source_label': '273.2.k.a.211.1', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 3, 'target_hecke_orbit_code': 63050394816744925, 'target_is_minimal': False, 'target_label': '3549.2.a.o.1.3', 'target_level': 3549, 'twist_class_label': '273.2.k.a.22.1', 'twist_class_level': 273, 'twisting_char_label': '13.3', 'twisting_conrey_index': 3, 'weight': 2}
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id: 7790098
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322065, 'source_is_minimal': True, 'source_label': '273.2.k.a.211.1', 'source_level': 273, 'target_conrey_index': 22, 'target_dim': 6, 'target_embedding_index': 1, 'target_hecke_orbit_code': 687228322065, 'target_is_minimal': True, 'target_label': '273.2.k.a.22.1', 'target_level': 273, 'twist_class_label': '273.2.k.a.22.1', 'twist_class_level': 273, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 7790099
{'conductor': 13, 'degree': 2, 'order': 6, 'parity': 1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322065, 'source_is_minimal': True, 'source_label': '273.2.k.a.211.1', 'source_level': 273, 'target_conrey_index': 1, 'target_dim': 3, 'target_embedding_index': 1, 'target_hecke_orbit_code': 58546795189374429, 'target_is_minimal': False, 'target_label': '3549.2.a.n.1.1', 'target_level': 3549, 'twist_class_label': '273.2.k.a.22.1', 'twist_class_level': 273, 'twisting_char_label': '13.10', 'twisting_conrey_index': 10, 'weight': 2}
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id: 7790100
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 211, 'source_dim': 6, 'source_embedding_index': 1, 'source_hecke_orbit_code': 687228322065, 'source_is_minimal': True, 'source_label': '273.2.k.a.211.1', 'source_level': 273, 'target_conrey_index': 568, 'target_dim': 6, 'target_embedding_index': 3, 'target_hecke_orbit_code': 27022559870452531, 'target_is_minimal': False, 'target_label': '819.2.o.g.568.3', 'target_level': 819, 'twist_class_label': '273.2.k.a.22.1', 'twist_class_level': 273, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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mf_hecke_charpolys • Show schema
Hide schema
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id: 624075
{'charpoly_factorization': [[[1, 3, 9, 2, 3, 0, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 2}
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id: 624076
{'charpoly_factorization': [[[1, 1, 1], 3]], 'hecke_orbit_code': 687228322065, 'p': 3}
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id: 624077
{'charpoly_factorization': [[[-1, 9, -6, 1], 2]], 'hecke_orbit_code': 687228322065, 'p': 5}
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id: 624078
{'charpoly_factorization': [[[1, -1, 1], 3]], 'hecke_orbit_code': 687228322065, 'p': 7}
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id: 624079
{'charpoly_factorization': [[[5041, 639, 507, 88, 45, 6, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 11}
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id: 624080
{'charpoly_factorization': [[[2197, 0, 0, -19, 0, 0, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 13}
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id: 624081
{'charpoly_factorization': [[[25281, 4293, 1683, 156, 63, 6, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 17}
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id: 624082
{'charpoly_factorization': [[[289, -255, 378, 169, 66, 9, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 19}
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id: 624083
{'charpoly_factorization': [[[3249, 2052, 1467, 6, 45, 3, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 23}
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id: 624084
{'charpoly_factorization': [[[104329, 15504, 5211, 214, 129, 9, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 29}
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id: 624085
{'charpoly_factorization': [[[27, 0, -9, 1], 2]], 'hecke_orbit_code': 687228322065, 'p': 31}
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id: 624086
{'charpoly_factorization': [[[106929, 2943, 4005, 546, 153, 12, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 37}
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id: 624087
{'charpoly_factorization': [[[732736, 112992, 22560, 920, 168, 6, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 41}
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id: 624088
{'charpoly_factorization': [[[5329, 3504, 2961, -286, 129, 9, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 43}
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id: 624089
{'charpoly_factorization': [[[3, -18, -3, 1], 2]], 'hecke_orbit_code': 687228322065, 'p': 47}
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id: 624090
{'charpoly_factorization': [[[867, -153, -3, 1], 2]], 'hecke_orbit_code': 687228322065, 'p': 53}
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id: 624091
{'charpoly_factorization': [[[1671849, 93096, 24579, 1506, 297, 15, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 59}
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id: 624092
{'charpoly_factorization': [[[16129, 4953, 3426, -839, 186, -15, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 61}
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id: 624093
{'charpoly_factorization': [[[2505889, 275442, 44523, 1600, 255, 9, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 67}
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id: 624094
{'charpoly_factorization': [[[12321, 999, 1413, -330, 135, -12, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 71}
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id: 624095
{'charpoly_factorization': [[[-807, 279, -30, 1], 2]], 'hecke_orbit_code': 687228322065, 'p': 73}
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id: 624096
{'charpoly_factorization': [[[271, 138, 21, 1], 2]], 'hecke_orbit_code': 687228322065, 'p': 79}
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id: 624097
{'charpoly_factorization': [[[-111, 153, -24, 1], 2]], 'hecke_orbit_code': 687228322065, 'p': 83}
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id: 624098
{'charpoly_factorization': [[[1, 15, 234, -137, 66, -9, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 89}
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id: 624099
{'charpoly_factorization': [[[3249, 7182, 16047, -264, 135, 3, 1], 1]], 'hecke_orbit_code': 687228322065, 'p': 97}
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mf_newform_portraits • Show schema
Hide schema
{'char_orbit_index': 11, 'hecke_orbit': 1, 'label': '273.2.k.a', 'level': 273, 'portrait': 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', 'weight': 2}
-
mf_hecke_traces • Show schema
Hide schema
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id: 40813000
{'hecke_orbit_code': 687228322065, 'n': 1, 'trace_an': 6}
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id: 40813001
{'hecke_orbit_code': 687228322065, 'n': 2, 'trace_an': 0}
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id: 40813002
{'hecke_orbit_code': 687228322065, 'n': 3, 'trace_an': -3}
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id: 40813003
{'hecke_orbit_code': 687228322065, 'n': 4, 'trace_an': 0}
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id: 40813004
{'hecke_orbit_code': 687228322065, 'n': 5, 'trace_an': 12}
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id: 40813005
{'hecke_orbit_code': 687228322065, 'n': 6, 'trace_an': 0}
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id: 40813006
{'hecke_orbit_code': 687228322065, 'n': 7, 'trace_an': 3}
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id: 40813007
{'hecke_orbit_code': 687228322065, 'n': 8, 'trace_an': -6}
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id: 40813008
{'hecke_orbit_code': 687228322065, 'n': 9, 'trace_an': -3}
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id: 40813009
{'hecke_orbit_code': 687228322065, 'n': 10, 'trace_an': 3}
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id: 40813010
{'hecke_orbit_code': 687228322065, 'n': 11, 'trace_an': -6}
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id: 40813011
{'hecke_orbit_code': 687228322065, 'n': 12, 'trace_an': 0}
-
id: 40813012
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id: 40813021
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id: 40813022
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id: 40813023
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id: 40813024
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id: 40813025
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id: 40813026
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id: 40813030
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id: 40813031
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id: 40813060
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id: 40813080
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id: 40813082
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id: 40813083
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id: 40813084
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id: 40813085
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id: 40813086
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id: 40813087
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id: 40813088
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id: 40813089
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id: 40813090
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id: 40813091
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id: 40813092
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id: 40813095
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id: 40813096
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id: 40813097
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id: 40813098
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id: 40813099
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id: 40813100
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id: 40813101
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id: 40813102
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id: 40813103
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id: 40813104
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id: 40813105
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id: 40813107
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id: 40813108
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id: 40813109
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id: 40813110
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id: 40813111
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id: 40813112
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id: 40813113
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id: 40813114
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id: 40813115
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id: 40813116
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id: 40813117
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id: 40813118
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id: 40813119
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id: 40813120
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id: 40813121
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id: 40813122
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id: 40813123
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id: 40813124
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id: 40813125
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id: 40813126
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id: 40813127
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id: 40813128
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id: 40813129
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id: 40813130
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id: 40813131
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id: 40813132
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id: 40813133
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id: 40813134
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id: 40813135
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id: 40813136
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id: 40813137
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id: 40813138
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id: 40813139
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id: 40813140
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id: 40813141
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id: 40813143
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id: 40813144
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id: 40813145
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id: 40813146
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id: 40813148
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id: 40813150
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id: 40813151
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id: 40813152
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id: 40813153
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id: 40813158
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id: 40813889
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id: 40813890
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id: 40813900
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id: 40813901
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id: 40813902
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id: 40813903
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id: 40813904
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id: 40813910
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id: 40813911
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id: 40813912
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id: 40813915
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id: 40813916
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id: 40813917
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id: 40813919
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id: 40813920
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id: 40813921
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id: 40813922
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id: 40813923
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id: 40813924
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id: 40813925
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id: 40813928
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id: 40813929
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id: 40813930
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id: 40813931
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id: 40813932
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id: 40813934
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id: 40813935
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id: 40813936
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id: 40813937
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id: 40813938
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id: 40813939
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id: 40813940
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id: 40813941
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id: 40813942
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id: 40813943
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id: 40813944
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id: 40813945
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id: 40813946
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id: 40813947
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id: 40813948
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id: 40813949
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id: 40813950
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id: 40813951
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id: 40813952
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id: 40813953
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id: 40813954
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id: 40813955
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id: 40813956
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id: 40813964
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id: 40813965
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id: 40813999
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