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{'Nk2': 10952, 'analytic_conductor': 21.863040073426568, 'analytic_rank': 0, 'analytic_rank_proved': True, 'atkin_lehner_eigenvals': [[2, -1], [37, 1]], 'atkin_lehner_string': '-+', 'char_conductor': 1, 'char_degree': 1, 'char_is_minimal': True, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2738, 1, [1371], [1]], 'cm_discs': [], 'conrey_index': 1, 'conrey_indexes': [1], 'dim': 2, 'field_disc': 13, 'field_disc_factorization': [[13, 1]], 'field_poly': [-3, -1, 1], 'field_poly_is_cyclotomic': False, 'field_poly_is_real_cyclotomic': False, 'field_poly_root_of_unity': 0, 'fricke_eigenval': -1, 'has_non_self_twist': 0, 'hecke_cutters': [[3, [-1, -3, 1]], [5, [-3, -1, 1]], [7, [-12, -2, 1]], [13, [-3, -1, 1]], [17, [-6, 1]]], 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632626, 'hecke_ring_generator_nbound': 3, 'hecke_ring_index': 1, 'hecke_ring_index_factorization': [], 'hecke_ring_index_proved': True, 'inner_twist_count': 1, 'inner_twists': [[1, 1, 1, 1, 1, 1, 1]], 'is_cm': False, 'is_polredabs': True, 'is_rm': False, 'is_self_dual': True, 'is_self_twist': False, 'is_twist_minimal': False, 'label': '2738.2.a.l', 'level': 2738, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'minimal_twist': '74.2.a.a', 'nf_label': '2.2.13.1', 'prim_orbit_index': 1, 'qexp_display': 'q+q^{2}+(1+\\beta )q^{3}+q^{4}+\\beta q^{5}+(1+\\beta )q^{6}+\\cdots', 'related_objects': [], 'relative_dim': 2, 'rm_discs': [], 'sato_tate_group': '1.2.3.c1', 'self_twist_discs': [], 'self_twist_type': 0, 'space_label': '2738.2.a', 'trace_display': [2, 3, 1, 2], 'trace_hash': 470528226380756369, 'trace_moments': [{'__RealLiteral__': 0, 'data': '0.017', 'prec': 17}, {'__RealLiteral__': 0, 'data': '1.966', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '9.305', 'prec': 17}, {'__RealLiteral__': 0, 'data': '0.000', 'prec': 17}, {'__RealLiteral__': 0, 'data': '62.818', 'prec': 20}], 'trace_zratio': {'__RealLiteral__': 0, 'data': '0.009', 'prec': 17}, 'traces': [2, 2, 3, 2, 1, 3, 2, 2, 5, 1, -1, 3, 1, 2, 8, 2, 12, 5, -4, 1, -10, -1, 3, 3, -3, 1, 18, 2, -3, 8, -3, 2, -8, 12, -12, 5, 0, -4, -5, 1, 9, -10, 6, -1, 22, 3, 2, 3, 14, -3, 18, 1, -12, 18, -7, 2, -6, -3, -14, 8, 3, -3, -34, 2, -6, -8, 11, 12, -15, -12, 12, 5, -21, 0, 2, -4, 12, -5, 7, 1, 38, 9, 20, -10, 6, 6, 15, -1, 4, 22, 14, 3, 2, 2, -2, 3, 4, 14, -22, -3, 4, 18, -3, 1, -18, -12, 5, 18, -4, -7, 0, 2, -8, -6, -18, -3, -17, -14, 12, 8, -15, 3, 33, -3, 0, -34, -24, 2, -4, -6, -14, -8, -4, 11, 35, 12, -9, -15, 7, -12, 16, 12, 6, 5, 18, -21, -5, 0, 18, 2, -34, -4, 30, 12, 5, -5, 0, 7, -18, 1, 42, 38, 12, 9, -17, 20, -7, -10, -19, 6, -10, 6, -32, 15, -16, -1, -34, 4, 6, 22, 40, 14, -28, 3, 0, 2, -6, 2, -34, -2, -7, 3, 8, 4, -9, 14, -12, -22, -24, -3, -16, 4, -42, 18, 24, -3, -51, 1, 2, -18, 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mf_hecke_cc • Show schema
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'embedding_root_imag': 0.0, 'embedding_root_real': -1.3027756377319946, 'hecke_orbit': 12, 'hecke_orbit_code': 49539595934632626, 'label': '2738.2.a.l.1.1', 'level': 2738, 'weight': 2}
-
mf_newspaces • Show schema
Hide schema
{'AL_dims': [[[[2, -1], [37, -1]], 21, 5], [[[2, 1], [37, -1]], 30, 5], [[[2, -1], [37, 1]], 34, 7], [[[2, 1], [37, 1]], 25, 7]], 'ALdims': [25, 30, 34, 21], 'Nk2': 10952, 'analytic_conductor': 21.863040073426568, 'char_conductor': 1, 'char_degree': 1, 'char_is_real': True, 'char_orbit_index': 1, 'char_orbit_label': 'a', 'char_order': 1, 'char_parity': 1, 'char_values': [2738, 1, [1371], [1]], 'conrey_index': 1, 'cusp_dim': 314, 'dim': 110, 'eis_dim': 75, 'eis_new_dim': 0, 'hecke_cutter_primes': [3, 5, 7, 13, 17], 'hecke_orbit_code': 33557170, 'hecke_orbit_dims': [1, 1, 1, 1, 2, 2, 2, 2, 2, 2, 2, 2, 3, 3, 3, 3, 6, 6, 6, 6, 9, 9, 18, 18], 'label': '2738.2.a', 'level': 2738, 'level_is_prime': False, 'level_is_prime_power': False, 'level_is_square': False, 'level_is_squarefree': False, 'level_primes': [2, 37], 'level_radical': 74, 'mf_dim': 389, 'mf_new_dim': 110, 'num_forms': 24, 'plus_dim': 46, 'prim_orbit_index': 1, 'relative_dim': 110, 'sturm_bound': 703, 'trace_bound': 7, 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mf_twists_cc • Show schema
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id: 47279181
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 49539595934632626, 'target_is_minimal': False, 'target_label': '2738.2.a.l.1.1', 'target_level': 2738, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 47279182
{'conductor': 37, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 33554506, 'target_is_minimal': True, 'target_label': '74.2.a.a.1.1', 'target_level': 74, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '37.36', 'twisting_conrey_index': 36, 'weight': 2}
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id: 47279183
{'conductor': 111, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 40532396679889562, 'target_is_minimal': False, 'target_label': '666.2.a.j.1.1', 'target_level': 666, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '111.110', 'twisting_conrey_index': 110, 'weight': 2}
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id: 47279184
{'conductor': 148, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 22517998170407504, 'target_is_minimal': False, 'target_label': '592.2.a.f.1.2', 'target_level': 592, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '148.147', 'twisting_conrey_index': 147, 'weight': 2}
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id: 47279185
{'conductor': 185, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 3, 'target_hecke_orbit_code': 36028865771996986, 'target_is_minimal': False, 'target_label': '1850.2.b.i.149.3', 'target_level': 1850, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '185.73', 'twisting_conrey_index': 73, 'weight': 2}
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id: 47279186
{'conductor': 185, 'degree': 2, 'order': 4, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 149, 'target_dim': 4, 'target_embedding_index': 2, 'target_hecke_orbit_code': 36028865771996986, 'target_is_minimal': False, 'target_label': '1850.2.b.i.149.2', 'target_level': 1850, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '185.147', 'twisting_conrey_index': 147, 'weight': 2}
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id: 47279187
{'conductor': 185, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 90071992580966202, 'target_is_minimal': False, 'target_label': '1850.2.a.u.1.2', 'target_level': 1850, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '185.184', 'twisting_conrey_index': 184, 'weight': 2}
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id: 47279188
{'conductor': 259, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 33558058, 'target_is_minimal': False, 'target_label': '3626.2.a.a.1.2', 'target_level': 3626, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '259.258', 'twisting_conrey_index': 258, 'weight': 2}
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id: 47279189
{'conductor': 296, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 117093590345189696, 'target_is_minimal': False, 'target_label': '2368.2.a.ba.1.1', 'target_level': 2368, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '296.147', 'twisting_conrey_index': 147, 'weight': 2}
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id: 47279190
{'conductor': 296, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 2, 'target_hecke_orbit_code': 81064793326225728, 'target_is_minimal': False, 'target_label': '2368.2.a.s.1.2', 'target_level': 2368, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '296.221', 'twisting_conrey_index': 221, 'weight': 2}
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id: 47279191
{'conductor': 407, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 67553994444120826, 'target_is_minimal': False, 'target_label': '8954.2.a.p.1.1', 'target_level': 8954, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '407.406', 'twisting_conrey_index': 406, 'weight': 2}
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id: 47279192
{'conductor': 444, 'degree': 1, 'order': 2, 'parity': 1, 'source_conrey_index': 1, 'source_dim': 2, 'source_embedding_index': 1, 'source_hecke_orbit_code': 49539595934632626, 'source_is_minimal': False, 'source_label': '2738.2.a.l.1.1', 'source_level': 2738, 'target_conrey_index': 1, 'target_dim': 2, 'target_embedding_index': 1, 'target_hecke_orbit_code': 139611588482045136, 'target_is_minimal': False, 'target_label': '5328.2.a.bf.1.1', 'target_level': 5328, 'twist_class_label': '74.2.a.a.1.1', 'twist_class_level': 74, 'twisting_char_label': '444.443', 'twisting_conrey_index': 443, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 2794850
{'charpoly_factorization': [[[-1, 1], 2]], 'hecke_orbit_code': 49539595934632626, 'p': 2}
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id: 2794851
{'charpoly_factorization': [[[-1, -3, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 3}
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id: 2794852
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 5}
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id: 2794853
{'charpoly_factorization': [[[-12, -2, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 7}
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id: 2794854
{'charpoly_factorization': [[[-3, 1, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 11}
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id: 2794855
{'charpoly_factorization': [[[-3, -1, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 13}
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id: 2794856
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 49539595934632626, 'p': 17}
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id: 2794857
{'charpoly_factorization': [[[2, 1], 2]], 'hecke_orbit_code': 49539595934632626, 'p': 19}
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id: 2794858
{'charpoly_factorization': [[[-27, -3, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 23}
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id: 2794859
{'charpoly_factorization': [[[-27, 3, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 29}
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id: 2794860
{'charpoly_factorization': [[[-1, 3, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 31}
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id: 2794861
{'charpoly_factorization': [[[0, 1], 2]], 'hecke_orbit_code': 49539595934632626, 'p': 37}
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id: 2794862
{'charpoly_factorization': [[[-9, -9, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 41}
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id: 2794863
{'charpoly_factorization': [[[-4, -6, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 43}
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id: 2794864
{'charpoly_factorization': [[[-12, -2, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 47}
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id: 2794865
{'charpoly_factorization': [[[6, 1], 2]], 'hecke_orbit_code': 49539595934632626, 'p': 53}
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id: 2794866
{'charpoly_factorization': [[[36, 14, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 59}
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id: 2794867
{'charpoly_factorization': [[[-79, -3, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 61}
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id: 2794868
{'charpoly_factorization': [[[-51, -11, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 67}
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id: 2794869
{'charpoly_factorization': [[[-6, 1], 2]], 'hecke_orbit_code': 49539595934632626, 'p': 71}
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id: 2794870
{'charpoly_factorization': [[[107, 21, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 73}
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id: 2794871
{'charpoly_factorization': [[[-147, -7, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 79}
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id: 2794872
{'charpoly_factorization': [[[48, -20, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 83}
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id: 2794873
{'charpoly_factorization': [[[-48, -4, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 89}
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id: 2794874
{'charpoly_factorization': [[[-204, -4, 1], 1]], 'hecke_orbit_code': 49539595934632626, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 1, 'hecke_orbit': 12, 'label': '2738.2.a.l', 'level': 2738, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 216350000
{'hecke_orbit_code': 49539595934632626, 'n': 1, 'trace_an': 2}
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id: 216350001
{'hecke_orbit_code': 49539595934632626, 'n': 2, 'trace_an': 2}
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id: 216350002
{'hecke_orbit_code': 49539595934632626, 'n': 3, 'trace_an': 3}
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id: 216350003
{'hecke_orbit_code': 49539595934632626, 'n': 4, 'trace_an': 2}
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id: 216350004
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