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  1. Tue Jun 2 09:00:13 2020
  2. Tue Jun 2 09:00:13 2020
  3. Tue Jun 2 09:00:13 2020 Msieve v. 1.53 (SVN 988M)
  4. Tue Jun 2 09:00:13 2020 random seeds: 24c7d955 e0a37132
  5. Tue Jun 2 09:00:13 2020 factoring 21099532521081857116147639303658319358798880166419470324674446436203132009991665434383256469650453173376167631110444525702049840733907227196250572968838099520214083324054432727 (176 digits)
  6. Tue Jun 2 09:00:13 2020 searching for 15-digit factors
  7. Tue Jun 2 09:00:14 2020 commencing number field sieve (176-digit input)
  8. Tue Jun 2 09:00:14 2020 R0: -10320797335598498101074407683353483
  9. Tue Jun 2 09:00:14 2020 R1: 8322802628067311
  10. Tue Jun 2 09:00:14 2020 A0: -119944653515173161824879224685923080991280
  11. Tue Jun 2 09:00:14 2020 A1: 333430789863880921491301298969265122
  12. Tue Jun 2 09:00:14 2020 A2: -65910751617860038642092990679
  13. Tue Jun 2 09:00:14 2020 A3: -2814242531454704678840
  14. Tue Jun 2 09:00:14 2020 A4: 50710528364082
  15. Tue Jun 2 09:00:14 2020 A5: 180180
  16. Tue Jun 2 09:00:14 2020 skew 33128907.20, size 4.469e-17, alpha -7.847, combined = 1.753e-13 rroots = 5
  17. Tue Jun 2 09:00:14 2020
  18. Tue Jun 2 09:00:14 2020 commencing relation filtering
  19. Tue Jun 2 09:00:14 2020 setting target matrix density to 130.0
  20. Tue Jun 2 09:00:14 2020 estimated available RAM is 32768.0 MB
  21. Tue Jun 2 09:00:14 2020 commencing duplicate removal, pass 1
  22. Tue Jun 2 09:04:41 2020 error -11 reading relation 42356840
  23. Tue Jun 2 09:04:45 2020 error -15 reading relation 42980926
  24. Tue Jun 2 09:07:08 2020 error -11 reading relation 65610613
  25. Tue Jun 2 09:07:11 2020 error -15 reading relation 66111418
  26. Tue Jun 2 09:07:12 2020 error -15 reading relation 66213954
  27. Tue Jun 2 09:07:15 2020 error -15 reading relation 66674648
  28. Tue Jun 2 09:10:42 2020 error -11 reading relation 99169440
  29. Tue Jun 2 09:15:14 2020 error -15 reading relation 141748253
  30. Tue Jun 2 09:20:28 2020 error -1 reading relation 190933068
  31. Tue Jun 2 09:21:57 2020 skipped 17 relations with composite factors
  32. Tue Jun 2 09:21:57 2020 found 9188007 hash collisions in 204958892 relations
  33. Tue Jun 2 09:22:19 2020 added 121745 free relations
  34. Tue Jun 2 09:22:19 2020 commencing duplicate removal, pass 2
  35. Tue Jun 2 09:30:59 2020 found 10 duplicates and 205080627 unique relations
  36. Tue Jun 2 09:30:59 2020 memory use: 522.4 MB
  37. Tue Jun 2 09:30:59 2020 reading ideals above 134021120
  38. Tue Jun 2 09:30:59 2020 commencing singleton removal, initial pass
  39. Tue Jun 2 09:46:38 2020 memory use: 3012.0 MB
  40. Tue Jun 2 09:46:39 2020 reading all ideals from disk
  41. Tue Jun 2 09:48:07 2020 memory use: 3761.4 MB
  42. Tue Jun 2 09:48:15 2020 commencing in-memory singleton removal
  43. Tue Jun 2 09:48:21 2020 begin with 205080627 relations and 159185575 unique ideals
  44. Tue Jun 2 09:49:46 2020 reduce to 142035934 relations and 90344198 ideals in 13 passes
  45. Tue Jun 2 09:49:46 2020 max relations containing the same ideal: 43
  46. Tue Jun 2 09:50:03 2020 reading ideals above 720000
  47. Tue Jun 2 09:50:03 2020 commencing singleton removal, initial pass
  48. Tue Jun 2 10:05:01 2020 memory use: 2756.0 MB
  49. Tue Jun 2 10:05:01 2020 reading all ideals from disk
  50. Tue Jun 2 10:07:16 2020 memory use: 5736.6 MB
  51. Tue Jun 2 10:07:28 2020 keeping 104745294 ideals with weight <= 200, target excess is 787970
  52. Tue Jun 2 10:07:41 2020 commencing in-memory singleton removal
  53. Tue Jun 2 10:07:51 2020 begin with 142035934 relations and 104745294 unique ideals
  54. Tue Jun 2 10:08:44 2020 reduce to 142035915 relations and 104745275 ideals in 5 passes
  55. Tue Jun 2 10:08:44 2020 max relations containing the same ideal: 200
  56. Tue Jun 2 10:09:35 2020 removing 9477707 relations and 7477707 ideals in 2000000 cliques
  57. Tue Jun 2 10:09:38 2020 commencing in-memory singleton removal
  58. Tue Jun 2 10:09:47 2020 begin with 132558208 relations and 104745275 unique ideals
  59. Tue Jun 2 10:10:57 2020 reduce to 132114121 relations and 96815518 ideals in 7 passes
  60. Tue Jun 2 10:10:57 2020 max relations containing the same ideal: 199
  61. Tue Jun 2 10:11:44 2020 removing 7236538 relations and 5236538 ideals in 2000000 cliques
  62. Tue Jun 2 10:11:47 2020 commencing in-memory singleton removal
  63. Tue Jun 2 10:11:55 2020 begin with 124877583 relations and 96815518 unique ideals
  64. Tue Jun 2 10:13:00 2020 reduce to 124585151 relations and 91281879 ideals in 7 passes
  65. Tue Jun 2 10:13:00 2020 max relations containing the same ideal: 195
  66. Tue Jun 2 10:13:45 2020 removing 6581375 relations and 4581375 ideals in 2000000 cliques
  67. Tue Jun 2 10:13:48 2020 commencing in-memory singleton removal
  68. Tue Jun 2 10:13:56 2020 begin with 118003776 relations and 91281879 unique ideals
  69. Tue Jun 2 10:14:48 2020 reduce to 117758013 relations and 86450891 ideals in 6 passes
  70. Tue Jun 2 10:14:48 2020 max relations containing the same ideal: 190
  71. Tue Jun 2 10:15:31 2020 removing 6224113 relations and 4224113 ideals in 2000000 cliques
  72. Tue Jun 2 10:15:33 2020 commencing in-memory singleton removal
  73. Tue Jun 2 10:15:41 2020 begin with 111533900 relations and 86450891 unique ideals
  74. Tue Jun 2 10:16:30 2020 reduce to 111311660 relations and 82000923 ideals in 6 passes
  75. Tue Jun 2 10:16:30 2020 max relations containing the same ideal: 183
  76. Tue Jun 2 10:17:11 2020 removing 5987455 relations and 3987455 ideals in 2000000 cliques
  77. Tue Jun 2 10:17:13 2020 commencing in-memory singleton removal
  78. Tue Jun 2 10:17:20 2020 begin with 105324205 relations and 82000923 unique ideals
  79. Tue Jun 2 10:18:06 2020 reduce to 105119777 relations and 77805627 ideals in 6 passes
  80. Tue Jun 2 10:18:06 2020 max relations containing the same ideal: 177
  81. Tue Jun 2 10:18:45 2020 removing 5808104 relations and 3808104 ideals in 2000000 cliques
  82. Tue Jun 2 10:18:47 2020 commencing in-memory singleton removal
  83. Tue Jun 2 10:18:53 2020 begin with 99311673 relations and 77805627 unique ideals
  84. Tue Jun 2 10:19:37 2020 reduce to 99118350 relations and 73800904 ideals in 6 passes
  85. Tue Jun 2 10:19:37 2020 max relations containing the same ideal: 170
  86. Tue Jun 2 10:20:13 2020 removing 5668190 relations and 3668190 ideals in 2000000 cliques
  87. Tue Jun 2 10:20:15 2020 commencing in-memory singleton removal
  88. Tue Jun 2 10:20:21 2020 begin with 93450160 relations and 73800904 unique ideals
  89. Tue Jun 2 10:21:02 2020 reduce to 93265776 relations and 69945019 ideals in 6 passes
  90. Tue Jun 2 10:21:02 2020 max relations containing the same ideal: 163
  91. Tue Jun 2 10:21:36 2020 removing 5544670 relations and 3544670 ideals in 2000000 cliques
  92. Tue Jun 2 10:21:39 2020 commencing in-memory singleton removal
  93. Tue Jun 2 10:21:44 2020 begin with 87721106 relations and 69945019 unique ideals
  94. Tue Jun 2 10:22:16 2020 reduce to 87542674 relations and 66218411 ideals in 5 passes
  95. Tue Jun 2 10:22:16 2020 max relations containing the same ideal: 158
  96. Tue Jun 2 10:22:48 2020 removing 5441737 relations and 3441737 ideals in 2000000 cliques
  97. Tue Jun 2 10:22:50 2020 commencing in-memory singleton removal
  98. Tue Jun 2 10:22:55 2020 begin with 82100937 relations and 66218411 unique ideals
  99. Tue Jun 2 10:23:31 2020 reduce to 81925748 relations and 62598031 ideals in 6 passes
  100. Tue Jun 2 10:23:31 2020 max relations containing the same ideal: 150
  101. Tue Jun 2 10:24:00 2020 removing 5348527 relations and 3348527 ideals in 2000000 cliques
  102. Tue Jun 2 10:24:02 2020 commencing in-memory singleton removal
  103. Tue Jun 2 10:24:07 2020 begin with 76577221 relations and 62598031 unique ideals
  104. Tue Jun 2 10:24:40 2020 reduce to 76404338 relations and 59072836 ideals in 6 passes
  105. Tue Jun 2 10:24:40 2020 max relations containing the same ideal: 144
  106. Tue Jun 2 10:25:08 2020 removing 5262137 relations and 3262137 ideals in 2000000 cliques
  107. Tue Jun 2 10:25:10 2020 commencing in-memory singleton removal
  108. Tue Jun 2 10:25:14 2020 begin with 71142201 relations and 59072836 unique ideals
  109. Tue Jun 2 10:25:44 2020 reduce to 70967814 relations and 55632338 ideals in 6 passes
  110. Tue Jun 2 10:25:44 2020 max relations containing the same ideal: 136
  111. Tue Jun 2 10:26:10 2020 removing 5189780 relations and 3189780 ideals in 2000000 cliques
  112. Tue Jun 2 10:26:12 2020 commencing in-memory singleton removal
  113. Tue Jun 2 10:26:16 2020 begin with 65778034 relations and 55632338 unique ideals
  114. Tue Jun 2 10:26:39 2020 reduce to 65600971 relations and 52261278 ideals in 5 passes
  115. Tue Jun 2 10:26:39 2020 max relations containing the same ideal: 131
  116. Tue Jun 2 10:27:03 2020 removing 5124676 relations and 3124676 ideals in 2000000 cliques
  117. Tue Jun 2 10:27:05 2020 commencing in-memory singleton removal
  118. Tue Jun 2 10:27:08 2020 begin with 60476295 relations and 52261278 unique ideals
  119. Tue Jun 2 10:27:34 2020 reduce to 60291859 relations and 48947424 ideals in 6 passes
  120. Tue Jun 2 10:27:34 2020 max relations containing the same ideal: 124
  121. Tue Jun 2 10:27:56 2020 removing 5070967 relations and 3070967 ideals in 2000000 cliques
  122. Tue Jun 2 10:27:57 2020 commencing in-memory singleton removal
  123. Tue Jun 2 10:28:01 2020 begin with 55220892 relations and 48947424 unique ideals
  124. Tue Jun 2 10:28:24 2020 reduce to 55025640 relations and 45675881 ideals in 6 passes
  125. Tue Jun 2 10:28:24 2020 max relations containing the same ideal: 115
  126. Tue Jun 2 10:28:44 2020 removing 5025813 relations and 3025813 ideals in 2000000 cliques
  127. Tue Jun 2 10:28:45 2020 commencing in-memory singleton removal
  128. Tue Jun 2 10:28:48 2020 begin with 49999827 relations and 45675881 unique ideals
  129. Tue Jun 2 10:29:09 2020 reduce to 49785436 relations and 42429339 ideals in 6 passes
  130. Tue Jun 2 10:29:09 2020 max relations containing the same ideal: 110
  131. Tue Jun 2 10:29:27 2020 removing 5000876 relations and 3000876 ideals in 2000000 cliques
  132. Tue Jun 2 10:29:28 2020 commencing in-memory singleton removal
  133. Tue Jun 2 10:29:31 2020 begin with 44784560 relations and 42429339 unique ideals
  134. Tue Jun 2 10:29:50 2020 reduce to 44542915 relations and 39179040 ideals in 6 passes
  135. Tue Jun 2 10:29:50 2020 max relations containing the same ideal: 103
  136. Tue Jun 2 10:30:05 2020 removing 5000152 relations and 3000152 ideals in 2000000 cliques
  137. Tue Jun 2 10:30:07 2020 commencing in-memory singleton removal
  138. Tue Jun 2 10:30:09 2020 begin with 39542763 relations and 39179040 unique ideals
  139. Tue Jun 2 10:30:25 2020 reduce to 39255616 relations and 35881477 ideals in 6 passes
  140. Tue Jun 2 10:30:25 2020 max relations containing the same ideal: 95
  141. Tue Jun 2 10:30:40 2020 removing 5041510 relations and 3041510 ideals in 2000000 cliques
  142. Tue Jun 2 10:30:41 2020 commencing in-memory singleton removal
  143. Tue Jun 2 10:30:43 2020 begin with 34214106 relations and 35881477 unique ideals
  144. Tue Jun 2 10:30:57 2020 reduce to 33851809 relations and 32463070 ideals in 6 passes
  145. Tue Jun 2 10:30:57 2020 max relations containing the same ideal: 87
  146. Tue Jun 2 10:31:09 2020 removing 1492917 relations and 1018224 ideals in 474693 cliques
  147. Tue Jun 2 10:31:10 2020 commencing in-memory singleton removal
  148. Tue Jun 2 10:31:12 2020 begin with 32358892 relations and 32463070 unique ideals
  149. Tue Jun 2 10:31:25 2020 reduce to 32302661 relations and 31387875 ideals in 6 passes
  150. Tue Jun 2 10:31:25 2020 max relations containing the same ideal: 85
  151. Tue Jun 2 10:31:40 2020 relations with 0 large ideals: 2144
  152. Tue Jun 2 10:31:40 2020 relations with 1 large ideals: 12004
  153. Tue Jun 2 10:31:40 2020 relations with 2 large ideals: 160154
  154. Tue Jun 2 10:31:40 2020 relations with 3 large ideals: 1036842
  155. Tue Jun 2 10:31:40 2020 relations with 4 large ideals: 3515584
  156. Tue Jun 2 10:31:40 2020 relations with 5 large ideals: 7004412
  157. Tue Jun 2 10:31:40 2020 relations with 6 large ideals: 8767287
  158. Tue Jun 2 10:31:40 2020 relations with 7+ large ideals: 11804234
  159. Tue Jun 2 10:31:40 2020 commencing 2-way merge
  160. Tue Jun 2 10:31:57 2020 reduce to 23964922 relation sets and 23050136 unique ideals
  161. Tue Jun 2 10:31:57 2020 commencing full merge
  162. Tue Jun 2 10:38:53 2020 memory use: 2801.8 MB
  163. Tue Jun 2 10:38:58 2020 found 10467407 cycles, need 10380336
  164. Tue Jun 2 10:38:59 2020 weight of 10380336 cycles is about 1349817252 (130.04/cycle)
  165. Tue Jun 2 10:38:59 2020 distribution of cycle lengths:
  166. Tue Jun 2 10:38:59 2020 1 relations: 94565
  167. Tue Jun 2 10:38:59 2020 2 relations: 428630
  168. Tue Jun 2 10:38:59 2020 3 relations: 623835
  169. Tue Jun 2 10:38:59 2020 4 relations: 745879
  170. Tue Jun 2 10:38:59 2020 5 relations: 848301
  171. Tue Jun 2 10:38:59 2020 6 relations: 882813
  172. Tue Jun 2 10:38:59 2020 7 relations: 891783
  173. Tue Jun 2 10:38:59 2020 8 relations: 859140
  174. Tue Jun 2 10:38:59 2020 9 relations: 801288
  175. Tue Jun 2 10:38:59 2020 10+ relations: 4204102
  176. Tue Jun 2 10:38:59 2020 heaviest cycle: 28 relations
  177. Tue Jun 2 10:39:03 2020 commencing cycle optimization
  178. Tue Jun 2 10:39:26 2020 start with 93399764 relations
  179. Tue Jun 2 10:43:19 2020 pruned 6059702 relations
  180. Tue Jun 2 10:43:19 2020 memory use: 2312.6 MB
  181. Tue Jun 2 10:43:19 2020 distribution of cycle lengths:
  182. Tue Jun 2 10:43:19 2020 1 relations: 94565
  183. Tue Jun 2 10:43:19 2020 2 relations: 444386
  184. Tue Jun 2 10:43:19 2020 3 relations: 658671
  185. Tue Jun 2 10:43:19 2020 4 relations: 794551
  186. Tue Jun 2 10:43:19 2020 5 relations: 917581
  187. Tue Jun 2 10:43:19 2020 6 relations: 957671
  188. Tue Jun 2 10:43:19 2020 7 relations: 973379
  189. Tue Jun 2 10:43:19 2020 8 relations: 928872
  190. Tue Jun 2 10:43:19 2020 9 relations: 861553
  191. Tue Jun 2 10:43:19 2020 10+ relations: 3749107
  192. Tue Jun 2 10:43:19 2020 heaviest cycle: 27 relations
  193. Tue Jun 2 10:43:50 2020 RelProcTime: 6216
  194. Tue Jun 2 10:43:50 2020
  195. Tue Jun 2 10:43:50 2020 commencing linear algebra
  196. Tue Jun 2 10:43:51 2020 read 10380336 cycles
  197. Tue Jun 2 10:44:14 2020 cycles contain 31984826 unique relations
  198. Tue Jun 2 10:52:54 2020 read 31984826 relations
  199. Tue Jun 2 10:53:56 2020 using 20 quadratic characters above 4294917295
  200. Tue Jun 2 10:55:51 2020 building initial matrix
  201. Tue Jun 2 11:02:37 2020 memory use: 4656.8 MB
  202. Tue Jun 2 11:04:45 2020 read 10380336 cycles
  203. Tue Jun 2 11:04:46 2020 matrix is 10380157 x 10380336 (5134.5 MB) with weight 1568416354 (151.09/col)
  204. Tue Jun 2 11:04:46 2020 sparse part has weight 1221419497 (117.67/col)
  205. Tue Jun 2 11:06:40 2020 filtering completed in 2 passes
  206. Tue Jun 2 11:06:42 2020 matrix is 10380110 x 10380289 (5134.5 MB) with weight 1568414286 (151.10/col)
  207. Tue Jun 2 11:06:42 2020 sparse part has weight 1221418969 (117.67/col)
  208. Tue Jun 2 11:09:09 2020 matrix starts at (0, 0)
  209. Tue Jun 2 11:09:10 2020 matrix is 10380110 x 10380289 (5134.5 MB) with weight 1568414286 (151.10/col)
  210. Tue Jun 2 11:09:10 2020 sparse part has weight 1221418969 (117.67/col)
  211. Tue Jun 2 11:09:10 2020 saving the first 48 matrix rows for later
  212. Tue Jun 2 11:09:11 2020 matrix includes 64 packed rows
  213. Tue Jun 2 11:09:13 2020 matrix is 10380062 x 10380289 (4998.8 MB) with weight 1348032979 (129.86/col)
  214. Tue Jun 2 11:09:13 2020 sparse part has weight 1206606005 (116.24/col)
  215. Tue Jun 2 11:09:13 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  216. Tue Jun 2 11:10:14 2020 commencing Lanczos iteration (16 threads)
  217. Tue Jun 2 11:10:14 2020 memory use: 4208.2 MB
  218. Tue Jun 2 11:10:27 2020 linear algebra at 0.0%, ETA 22h46m
  219. Tue Jun 2 11:10:32 2020 checkpointing every 430000 dimensions
  220. Wed Jun 3 09:55:14 2020 lanczos halted after 164147 iterations (dim = 10380062)
  221. Wed Jun 3 09:55:21 2020 recovered 28 nontrivial dependencies
  222. Wed Jun 3 09:55:25 2020 BLanczosTime: 83495
  223. Wed Jun 3 09:55:25 2020
  224. Wed Jun 3 09:55:25 2020 commencing square root phase
  225. Wed Jun 3 09:55:25 2020 handling dependencies 1 to 64
  226. Wed Jun 3 09:55:25 2020 reading relations for dependency 1
  227. Wed Jun 3 09:55:34 2020 read 5190440 cycles
  228. Wed Jun 3 09:55:44 2020 cycles contain 15992526 unique relations
  229. Wed Jun 3 10:04:29 2020 read 15992526 relations
  230. Wed Jun 3 10:05:47 2020 multiplying 15992526 relations
  231. Wed Jun 3 10:21:26 2020 multiply complete, coefficients have about 932.00 million bits
  232. Wed Jun 3 10:21:30 2020 initial square root is modulo 229855313
  233. Wed Jun 3 10:39:03 2020 sqrtTime: 2618
  234. Wed Jun 3 10:39:03 2020 p81 factor: 904196169909093174550641943796051270601676264089481347142064950991357526967384477
  235. Wed Jun 3 10:39:03 2020 p95 factor: 23335127070050716361188888754637934047561520012543633494481272174726833174350185427997350677251
  236. Wed Jun 3 10:39:03 2020 elapsed time 25:38:50
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