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mf_newforms • Show schema
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{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'analytic_rank': 0, 'analytic_rank_proved': True, 'char_conductor': 91, 'char_degree': 2, 'char_is_minimal': True, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [819, 3, [92, 703, 379], [3, 1, 1]], 'cm_discs': [], 'conrey_index': 289, 'dim': 16, 'field_disc': 4251508626022294792379392809, 'field_disc_factorization': [[3, 14], [173, 2], [1447, 2], [119099, 2]], 'field_poly': [1, 13, 195, -312, 811, -544, 1005, -481, 895, -205, 326, -35, 87, -4, 11, 0, 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, [1, 13, -26, -13, 34, 2, -11, 0, 1]], [11, [1290496, 3707904, 7798928, 8381920, 7202369, 3369137, 1631947, 395980, 214678, 32062, 19695, 532, 1213, -4, 45, -2, 1]]], 'hecke_orbit': 5, 'hecke_orbit_code': 18015635493618483, 'hecke_ring_generator_nbound': 7, 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mf_hecke_cc • Show schema
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mf_newspaces • Show schema
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{'Nk2': 3276, 'analytic_conductor': 6.539747925542864, 'char_conductor': 91, 'char_degree': 2, 'char_is_real': False, 'char_orbit_index': 19, 'char_orbit_label': 's', 'char_order': 3, 'char_parity': 1, 'char_values': [819, 3, [92, 703, 379], [3, 1, 1]], 'conrey_index': 289, 'cusp_dim': 208, 'dim': 90, 'eis_dim': 32, 'eis_new_dim': 8, 'hecke_cutter_primes': [2, 11], 'hecke_orbit_code': 1236984136499, 'hecke_orbit_dims': [2, 2, 2, 12, 16, 20, 36], 'label': '819.2.s', 'level': 819, '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, 13], 'level_radical': 273, 'mf_dim': 240, 'mf_new_dim': 98, 'num_forms': 7, 'prim_orbit_index': 8, 'relative_dim': 45, 'sturm_bound': 224, 'trace_bound': 11, 'trace_display': [2, 0, 2, 1], 'traces': [90, 2, 0, 86, 2, 0, 1, 12, 0, 1, -3, 0, 0, 14, 0, 70, 22, 0, 2, 6, 0, -14, -10, 0, -39, -28, 0, 3, 4, 0, -9, 46, 0, -20, 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-172, 0, 384, 310, 0, -56, -36, 0, -137, 97, 0, -139, 56, 0, -534, -159, 0, 359, 124, 0, 266, 13, 0, 390, -80, 0, -176, -43, 0, 202], 'weight': 2, 'weight_parity': 1}
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mf_twists_cc • Show schema
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id: 44585019
{'conductor': 1, 'degree': 1, 'order': 1, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 289, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18015635493618483, 'target_is_minimal': False, 'target_label': '819.2.s.e.289.6', 'target_level': 819, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '1.1', 'twisting_conrey_index': 1, 'weight': 2}
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id: 44585020
{'conductor': 3, 'degree': 1, 'order': 2, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 16, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169297, 'target_is_minimal': True, 'target_label': '273.2.l.b.16.3', 'target_level': 273, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '3.2', 'twisting_conrey_index': 2, 'weight': 2}
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id: 44585021
{'conductor': 7, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 172, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015291896234803, 'target_is_minimal': False, 'target_label': '819.2.n.e.172.3', 'target_level': 819, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '7.4', 'twisting_conrey_index': 4, 'weight': 2}
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id: 44585022
{'conductor': 13, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 100, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 18015291896234803, 'target_is_minimal': False, 'target_label': '819.2.n.e.100.3', 'target_level': 819, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '13.9', 'twisting_conrey_index': 9, 'weight': 2}
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id: 44585023
{'conductor': 21, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 172, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504218136215825, 'target_is_minimal': True, 'target_label': '273.2.j.b.172.6', 'target_level': 273, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '21.11', 'twisting_conrey_index': 11, 'weight': 2}
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id: 44585024
{'conductor': 39, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 100, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 4504218136215825, 'target_is_minimal': True, 'target_label': '273.2.j.b.100.6', 'target_level': 273, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '39.35', 'twisting_conrey_index': 35, 'weight': 2}
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id: 44585025
{'conductor': 91, 'degree': 2, 'order': 3, 'parity': 1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 802, 'target_dim': 16, 'target_embedding_index': 6, 'target_hecke_orbit_code': 18015635493618483, 'target_is_minimal': False, 'target_label': '819.2.s.e.802.6', 'target_level': 819, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '91.74', 'twisting_conrey_index': 74, 'weight': 2}
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id: 44585026
{'conductor': 273, 'degree': 2, 'order': 6, 'parity': -1, 'source_conrey_index': 289, 'source_dim': 16, 'source_embedding_index': 6, 'source_hecke_orbit_code': 18015635493618483, 'source_is_minimal': False, 'source_label': '819.2.s.e.289.6', 'source_level': 819, 'target_conrey_index': 256, 'target_dim': 16, 'target_embedding_index': 3, 'target_hecke_orbit_code': 4504355575169297, 'target_is_minimal': True, 'target_label': '273.2.l.b.256.3', 'target_level': 273, 'twist_class_label': '273.2.j.b.100.6', 'twist_class_level': 273, 'twisting_char_label': '273.74', 'twisting_conrey_index': 74, 'weight': 2}
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mf_hecke_charpolys • Show schema
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id: 1368675
{'charpoly_factorization': [[[1, 13, -26, -13, 34, 2, -11, 0, 1], 2]], 'hecke_orbit_code': 18015635493618483, 'p': 2}
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id: 1368676
{'charpoly_factorization': [[[0, 1], 16]], 'hecke_orbit_code': 18015635493618483, 'p': 3}
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id: 1368677
{'charpoly_factorization': [[[3969, -14364, 39195, -54726, 63667, -38698, 28885, -9940, 9537, -1748, 1785, -162, 247, -10, 19, 0, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 5}
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id: 1368678
{'charpoly_factorization': [[[5764801, -823543, -352947, 33614, 81634, 0, -5978, -3955, 3111, -565, -122, 0, 34, 2, -3, -1, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 7}
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id: 1368679
{'charpoly_factorization': [[[1290496, 3707904, 7798928, 8381920, 7202369, 3369137, 1631947, 395980, 214678, 32062, 19695, 532, 1213, -4, 45, -2, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 11}
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id: 1368680
{'charpoly_factorization': [[[815730721, -313742585, 28960854, 3712930, 7054567, -1581840, 24505, -59345, 64050, -4565, 145, -720, 247, 10, 6, -5, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 13}
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id: 1368681
{'charpoly_factorization': [[[6257, -6070, -8327, 1242, 1343, -92, -68, 2, 1], 2]], 'hecke_orbit_code': 18015635493618483, 'p': 17}
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id: 1368682
{'charpoly_factorization': [[[37161216, 112215168, 245091888, 247849800, 190971177, 87888870, 36450886, 11032792, 3560924, 863411, 216156, 36354, 6704, 832, 133, 11, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 19}
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id: 1368683
{'charpoly_factorization': [[[-153, 99, 828, -1249, 366, 158, -50, -4, 1], 2]], 'hecke_orbit_code': 18015635493618483, 'p': 23}
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id: 1368684
{'charpoly_factorization': [[[539772289, 939263724, 1219783833, 903851100, 580727595, 269398555, 131500576, 50104329, 17529998, 4334775, 909121, 130721, 18034, 1795, 226, 15, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 29}
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id: 1368685
{'charpoly_factorization': [[[1771652281, -3100128423, 9581587387, 6783294460, 9847063780, 603764255, 817561534, 85846365, 47316923, 3198672, 1106281, 31198, 17739, 195, 168, -3, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 31}
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id: 1368686
{'charpoly_factorization': [[[-1999, -21198, -25723, 5589, 3950, -333, -119, 4, 1], 2]], 'hecke_orbit_code': 18015635493618483, 'p': 37}
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id: 1368687
{'charpoly_factorization': [[[8083371138129, 1963019978388, 1235964296232, 200918881728, 100795848822, 15653125431, 4893908248, 668782307, 161613427, 20127250, 3510173, 345162, 46413, 3776, 383, 19, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 41}
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id: 1368688
{'charpoly_factorization': [[[99740169, -331099011, 1632996468, 2074846047, 2322528861, 1036684662, 432047899, 44119592, 19781109, 697579, 743840, -17767, 13834, -738, 209, -11, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 43}
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id: 1368689
{'charpoly_factorization': [[[67950412929, 64504055196, 67571538318, 22682038218, 16191597669, 5376556224, 2673506353, 514371364, 119392286, 11810774, 2332902, 177165, 31310, 1249, 208, 5, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 47}
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id: 1368690
{'charpoly_factorization': [[[9921384931329, 4661035629471, 3089386115343, 1152619632636, 586267472109, 194363134260, 54294819883, 10692402752, 1750527711, 221890801, 25287588, 2413855, 216216, 15380, 932, 36, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 53}
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id: 1368691
{'charpoly_factorization': [[[441561, 826761, 375993, 29293, -13721, -2731, -66, 17, 1], 2]], 'hecke_orbit_code': 18015635493618483, 'p': 59}
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id: 1368692
{'charpoly_factorization': [[[124397290000, 108222468000, 82641831900, 36352837440, 17180956201, 6451426769, 2268479329, 609480338, 138513968, 24132664, 3613917, 431426, 48659, 4472, 393, 22, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 61}
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id: 1368693
{'charpoly_factorization': [[[2264374886656, 1975335975936, 3642647613712, -1960759780256, 1444829812641, -229715645695, 64983052361, -10342901098, 2081058330, -249465388, 29353413, -2226010, 181979, -10308, 703, -26, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 67}
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id: 1368694
{'charpoly_factorization': [[[83773776969, -20561604480, 20967163785, -2744864808, 2780286789, -277973169, 234368050, -11543141, 12961446, -361137, 489959, 3745, 11726, 245, 182, 9, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 71}
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id: 1368695
{'charpoly_factorization': [[[160073179912009, 66600928216186, 36680214002748, 7642605269104, 3305063970677, 724196899862, 169601996078, 22208400224, 2922352164, 227292680, 23253165, 1325046, 132414, 4434, 419, 6, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 73}
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id: 1368696
{'charpoly_factorization': [[[131635449856, 321878745088, 774406233088, 95789479936, 80430074368, -2353172992, 5395275200, -341811840, 225775776, -25190048, 6455852, -489704, 65557, -3264, 401, -16, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 79}
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id: 1368697
{'charpoly_factorization': [[[-5580400, 1407360, 1716687, 278677, -12714, -5306, -196, 18, 1], 2]], 'hecke_orbit_code': 18015635493618483, 'p': 83}
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id: 1368698
{'charpoly_factorization': [[[683431, 557321, -47843, -89244, 627, 2705, -82, -20, 1], 2]], 'hecke_orbit_code': 18015635493618483, 'p': 89}
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id: 1368699
{'charpoly_factorization': [[[575206497472369, 79965878185767, 57912115603890, 1080834531421, 3177568412981, 41029800056, 91600064626, -390457090, 1798332012, -6201142, 20183034, -422856, 141437, -1589, 466, -7, 1], 1]], 'hecke_orbit_code': 18015635493618483, 'p': 97}
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mf_newform_portraits • Show schema
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{'char_orbit_index': 19, 'hecke_orbit': 5, 'label': '819.2.s.e', 'level': 819, 'portrait': 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', 'weight': 2}
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mf_hecke_traces • Show schema
Hide schema
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id: 41546749
{'hecke_orbit_code': 18015635493618483, 'n': 1, 'trace_an': 16}
-
id: 41546750
{'hecke_orbit_code': 18015635493618483, 'n': 2, 'trace_an': 0}
-
id: 41546751
{'hecke_orbit_code': 18015635493618483, 'n': 3, 'trace_an': 0}
-
id: 41546752
{'hecke_orbit_code': 18015635493618483, 'n': 4, 'trace_an': 12}
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id: 41546753
{'hecke_orbit_code': 18015635493618483, 'n': 5, 'trace_an': 0}
-
id: 41546754
{'hecke_orbit_code': 18015635493618483, 'n': 6, 'trace_an': 0}
-
id: 41546755
{'hecke_orbit_code': 18015635493618483, 'n': 7, 'trace_an': 1}
-
id: 41546756
{'hecke_orbit_code': 18015635493618483, 'n': 8, 'trace_an': -12}
-
id: 41546757
{'hecke_orbit_code': 18015635493618483, 'n': 9, 'trace_an': 0}
-
id: 41546758
{'hecke_orbit_code': 18015635493618483, 'n': 10, 'trace_an': -4}
-
id: 41546759
{'hecke_orbit_code': 18015635493618483, 'n': 11, 'trace_an': 2}
-
id: 41546760
{'hecke_orbit_code': 18015635493618483, 'n': 12, 'trace_an': 0}
-
id: 41546761
{'hecke_orbit_code': 18015635493618483, 'n': 13, 'trace_an': 5}
-
id: 41546762
{'hecke_orbit_code': 18015635493618483, 'n': 14, 'trace_an': 7}
-
id: 41546763
{'hecke_orbit_code': 18015635493618483, 'n': 15, 'trace_an': 0}
-
id: 41546764
{'hecke_orbit_code': 18015635493618483, 'n': 16, 'trace_an': 12}
-
id: 41546765
{'hecke_orbit_code': 18015635493618483, 'n': 17, 'trace_an': -4}
-
id: 41546766
{'hecke_orbit_code': 18015635493618483, 'n': 18, 'trace_an': 0}
-
id: 41546767
{'hecke_orbit_code': 18015635493618483, 'n': 19, 'trace_an': -11}
-
id: 41546768
{'hecke_orbit_code': 18015635493618483, 'n': 20, 'trace_an': 20}
-
id: 41546769
{'hecke_orbit_code': 18015635493618483, 'n': 21, 'trace_an': 0}
-
id: 41546770
{'hecke_orbit_code': 18015635493618483, 'n': 22, 'trace_an': 7}
-
id: 41546771
{'hecke_orbit_code': 18015635493618483, 'n': 23, 'trace_an': 8}
-
id: 41546772
{'hecke_orbit_code': 18015635493618483, 'n': 24, 'trace_an': 0}
-
id: 41546773
{'hecke_orbit_code': 18015635493618483, 'n': 25, 'trace_an': 2}
-
id: 41546774
{'hecke_orbit_code': 18015635493618483, 'n': 26, 'trace_an': -33}
-
id: 41546775
{'hecke_orbit_code': 18015635493618483, 'n': 27, 'trace_an': 0}
-
id: 41546776
{'hecke_orbit_code': 18015635493618483, 'n': 28, 'trace_an': -1}
-
id: 41546777
{'hecke_orbit_code': 18015635493618483, 'n': 29, 'trace_an': -15}
-
id: 41546778
{'hecke_orbit_code': 18015635493618483, 'n': 30, 'trace_an': 0}
-
id: 41546779
{'hecke_orbit_code': 18015635493618483, 'n': 31, 'trace_an': 3}
-
id: 41546780
{'hecke_orbit_code': 18015635493618483, 'n': 32, 'trace_an': 6}
-
id: 41546781
{'hecke_orbit_code': 18015635493618483, 'n': 33, 'trace_an': 0}
-
id: 41546782
{'hecke_orbit_code': 18015635493618483, 'n': 34, 'trace_an': -68}
-
id: 41546783
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