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  1. Wed Mar 25 17:56:58 2015  
  2. Wed Mar 25 17:56:58 2015  
  3. Wed Mar 25 17:56:58 2015  Msieve v. 1.52 (SVN 959)
  4. Wed Mar 25 17:56:58 2015  random seeds: b660d879 e1f5e543
  5. Wed Mar 25 17:56:58 2015  factoring 125305027481148022936660008903425220446358576141739238188948376176754387441689636024807565480766825599123227769404579241793172517131370320204888023599079894194253052327153457659861093539751557175825146711476881441283801940375187509901 (234 digits)
  6. Wed Mar 25 17:57:00 2015  no P-1/P+1/ECM available, skipping
  7. Wed Mar 25 17:57:00 2015  commencing number field sieve (234-digit input)
  8. Wed Mar 25 17:57:00 2015  R0: -707378705613676210036263863218040145649
  9. Wed Mar 25 17:57:00 2015  R1: 1
  10. Wed Mar 25 17:57:00 2015  A0: -1
  11. Wed Mar 25 17:57:00 2015  A1: 0
  12. Wed Mar 25 17:57:00 2015  A2: 0
  13. Wed Mar 25 17:57:00 2015  A3: 0
  14. Wed Mar 25 17:57:00 2015  A4: 0
  15. Wed Mar 25 17:57:00 2015  A5: 0
  16. Wed Mar 25 17:57:00 2015  A6: 7673
  17. Wed Mar 25 17:57:00 2015  skew 1.00, size 9.493e-12, alpha -0.661, combined = 5.714e-13 rroots = 2
  18. Wed Mar 25 17:57:00 2015  
  19. Wed Mar 25 17:57:00 2015  commencing relation filtering
  20. Wed Mar 25 17:57:00 2015  setting target matrix density to 120.0
  21. Wed Mar 25 17:57:00 2015  estimated available RAM is 16009.0 MB
  22. Wed Mar 25 17:57:00 2015  commencing duplicate removal, pass 1
  23. Wed Mar 25 18:01:01 2015  error -9 reading relation 20058775
  24. Wed Mar 25 18:01:16 2015  error -15 reading relation 21240252
  25. Wed Mar 25 18:06:12 2015  error -5 reading relation 44985237
  26. Wed Mar 25 18:06:12 2015  error -9 reading relation 44988258
  27. Wed Mar 25 18:06:36 2015  error -15 reading relation 46918552
  28. Wed Mar 25 18:07:28 2015  error -9 reading relation 51140197
  29. Wed Mar 25 18:20:36 2015  error -15 reading relation 114871878
  30. Wed Mar 25 18:21:17 2015  error -9 reading relation 118345940
  31. Wed Mar 25 18:21:25 2015  error -5 reading relation 118997963
  32. Wed Mar 25 18:21:27 2015  error -15 reading relation 119171234
  33. Wed Mar 25 18:21:30 2015  error -1 reading relation 119402981
  34. Wed Mar 25 18:21:46 2015  error -1 reading relation 120792770
  35. Wed Mar 25 18:22:04 2015  error -1 reading relation 122327407
  36. Wed Mar 25 18:22:11 2015  error -9 reading relation 122845272
  37. Wed Mar 25 18:24:32 2015  error -15 reading relation 134715793
  38. Wed Mar 25 18:24:32 2015  error -15 reading relation 134739813
  39. Wed Mar 25 18:24:58 2015  error -11 reading relation 136894119
  40. Wed Mar 25 18:24:59 2015  error -15 reading relation 136897850
  41. Wed Mar 25 18:28:24 2015  error -9 reading relation 153758787
  42. Wed Mar 25 18:30:45 2015  error -15 reading relation 165426585
  43. Wed Mar 25 18:35:41 2015  error -15 reading relation 189850859
  44. Wed Mar 25 18:36:53 2015  error -9 reading relation 195912444
  45. Wed Mar 25 18:37:33 2015  error -15 reading relation 199341687
  46. Wed Mar 25 18:37:34 2015  error -9 reading relation 199428261
  47. Wed Mar 25 18:37:49 2015  error -1 reading relation 200621210
  48. Wed Mar 25 18:39:10 2015  error -9 reading relation 207754361
  49. Wed Mar 25 18:39:38 2015  error -9 reading relation 210197148
  50. Wed Mar 25 18:39:43 2015  error -15 reading relation 210629130
  51. Wed Mar 25 18:40:50 2015  error -11 reading relation 216140578
  52. Wed Mar 25 18:41:12 2015  error -9 reading relation 217966670
  53. Wed Mar 25 18:41:25 2015  error -9 reading relation 219055090
  54. Wed Mar 25 18:41:56 2015  error -15 reading relation 221740910
  55. Wed Mar 25 18:42:11 2015  skipped 441 relations with b > 2^32
  56. Wed Mar 25 18:42:11 2015  found 35157029 hash collisions in 223041336 relations
  57. Wed Mar 25 18:42:30 2015  added 1218870 free relations
  58. Wed Mar 25 18:42:30 2015  commencing duplicate removal, pass 2
  59. Wed Mar 25 18:56:47 2015  found 31136865 duplicates and 193123341 unique relations
  60. Wed Mar 25 18:56:47 2015  memory use: 1321.5 MB
  61. Wed Mar 25 18:56:47 2015  reading ideals above 115015680
  62. Wed Mar 25 18:56:47 2015  commencing singleton removal, initial pass
  63. Wed Mar 25 19:41:56 2015  memory use: 3012.0 MB
  64. Wed Mar 25 19:41:56 2015  reading all ideals from disk
  65. Wed Mar 25 19:42:29 2015  memory use: 3370.2 MB
  66. Wed Mar 25 19:42:48 2015  keeping 160282651 ideals with weight <= 200, target excess is 13361289
  67. Wed Mar 25 19:43:07 2015  commencing in-memory singleton removal
  68. Wed Mar 25 19:43:26 2015  begin with 193123341 relations and 160282651 unique ideals
  69. Wed Mar 25 19:46:45 2015  reduce to 124227226 relations and 84167347 ideals in 15 passes
  70. Wed Mar 25 19:46:45 2015  max relations containing the same ideal: 126
  71. Wed Mar 25 19:46:58 2015  reading ideals above 720000
  72. Wed Mar 25 19:46:59 2015  commencing singleton removal, initial pass
  73. Wed Mar 25 20:26:41 2015  memory use: 2756.0 MB
  74. Wed Mar 25 20:26:41 2015  reading all ideals from disk
  75. Wed Mar 25 20:27:50 2015  memory use: 4784.1 MB
  76. Wed Mar 25 20:28:22 2015  keeping 99949647 ideals with weight <= 200, target excess is 615942
  77. Wed Mar 25 20:28:50 2015  commencing in-memory singleton removal
  78. Wed Mar 25 20:29:13 2015  begin with 124227205 relations and 99949647 unique ideals
  79. Wed Mar 25 20:34:11 2015  reduce to 119860556 relations and 94404278 ideals in 13 passes
  80. Wed Mar 25 20:34:11 2015  max relations containing the same ideal: 200
  81. Wed Mar 25 20:35:50 2015  removing 10722521 relations and 8722521 ideals in 2000000 cliques
  82. Wed Mar 25 20:35:54 2015  commencing in-memory singleton removal
  83. Wed Mar 25 20:36:15 2015  begin with 109138035 relations and 94404278 unique ideals
  84. Wed Mar 25 20:39:13 2015  reduce to 108435640 relations and 84964556 ideals in 9 passes
  85. Wed Mar 25 20:39:13 2015  max relations containing the same ideal: 194
  86. Wed Mar 25 20:40:44 2015  removing 8117356 relations and 6117356 ideals in 2000000 cliques
  87. Wed Mar 25 20:40:48 2015  commencing in-memory singleton removal
  88. Wed Mar 25 20:41:06 2015  begin with 100318284 relations and 84964556 unique ideals
  89. Wed Mar 25 20:43:27 2015  reduce to 99847517 relations and 78367615 ideals in 8 passes
  90. Wed Mar 25 20:43:27 2015  max relations containing the same ideal: 186
  91. Wed Mar 25 20:44:49 2015  removing 7355250 relations and 5355250 ideals in 2000000 cliques
  92. Wed Mar 25 20:44:53 2015  commencing in-memory singleton removal
  93. Wed Mar 25 20:45:10 2015  begin with 92492267 relations and 78367615 unique ideals
  94. Wed Mar 25 20:47:21 2015  reduce to 92078512 relations and 72590849 ideals in 8 passes
  95. Wed Mar 25 20:47:21 2015  max relations containing the same ideal: 175
  96. Wed Mar 25 20:48:36 2015  removing 6968255 relations and 4968255 ideals in 2000000 cliques
  97. Wed Mar 25 20:48:39 2015  commencing in-memory singleton removal
  98. Wed Mar 25 20:48:54 2015  begin with 85110257 relations and 72590849 unique ideals
  99. Wed Mar 25 20:50:36 2015  reduce to 84717844 relations and 67222303 ideals in 7 passes
  100. Wed Mar 25 20:50:36 2015  max relations containing the same ideal: 166
  101. Wed Mar 25 20:51:45 2015  removing 6724547 relations and 4724547 ideals in 2000000 cliques
  102. Wed Mar 25 20:51:48 2015  commencing in-memory singleton removal
  103. Wed Mar 25 20:52:01 2015  begin with 77993297 relations and 67222303 unique ideals
  104. Wed Mar 25 20:53:30 2015  reduce to 77609089 relations and 62105360 ideals in 7 passes
  105. Wed Mar 25 20:53:30 2015  max relations containing the same ideal: 156
  106. Wed Mar 25 20:54:33 2015  removing 6559547 relations and 4559549 ideals in 2000000 cliques
  107. Wed Mar 25 20:54:36 2015  commencing in-memory singleton removal
  108. Wed Mar 25 20:54:47 2015  begin with 71049542 relations and 62105360 unique ideals
  109. Wed Mar 25 20:56:05 2015  reduce to 70660395 relations and 57147810 ideals in 7 passes
  110. Wed Mar 25 20:56:05 2015  max relations containing the same ideal: 147
  111. Wed Mar 25 20:57:01 2015  removing 6442289 relations and 4442292 ideals in 2000000 cliques
  112. Wed Mar 25 20:57:04 2015  commencing in-memory singleton removal
  113. Wed Mar 25 20:57:14 2015  begin with 64218106 relations and 57147810 unique ideals
  114. Wed Mar 25 20:58:14 2015  reduce to 63817566 relations and 52295053 ideals in 6 passes
  115. Wed Mar 25 20:58:14 2015  max relations containing the same ideal: 137
  116. Wed Mar 25 20:59:05 2015  removing 6363414 relations and 4363426 ideals in 2000000 cliques
  117. Wed Mar 25 20:59:08 2015  commencing in-memory singleton removal
  118. Wed Mar 25 20:59:17 2015  begin with 57454152 relations and 52295053 unique ideals
  119. Wed Mar 25 21:00:24 2015  reduce to 57029776 relations and 47495619 ideals in 8 passes
  120. Wed Mar 25 21:00:24 2015  max relations containing the same ideal: 129
  121. Wed Mar 25 21:01:10 2015  removing 6309539 relations and 4309561 ideals in 2000000 cliques
  122. Wed Mar 25 21:01:13 2015  commencing in-memory singleton removal
  123. Wed Mar 25 21:01:20 2015  begin with 50720237 relations and 47495619 unique ideals
  124. Wed Mar 25 21:02:11 2015  reduce to 50263311 relations and 42715057 ideals in 7 passes
  125. Wed Mar 25 21:02:11 2015  max relations containing the same ideal: 126
  126. Wed Mar 25 21:02:50 2015  removing 6267568 relations and 4267596 ideals in 2000000 cliques
  127. Wed Mar 25 21:02:53 2015  commencing in-memory singleton removal
  128. Wed Mar 25 21:02:59 2015  begin with 43995743 relations and 42715057 unique ideals
  129. Wed Mar 25 21:03:43 2015  reduce to 43493785 relations and 37928263 ideals in 7 passes
  130. Wed Mar 25 21:03:43 2015  max relations containing the same ideal: 114
  131. Wed Mar 25 21:04:16 2015  removing 6242844 relations and 4242901 ideals in 2000000 cliques
  132. Wed Mar 25 21:04:19 2015  commencing in-memory singleton removal
  133. Wed Mar 25 21:04:24 2015  begin with 37250941 relations and 37928263 unique ideals
  134. Wed Mar 25 21:05:00 2015  reduce to 36684330 relations and 33096295 ideals in 7 passes
  135. Wed Mar 25 21:05:00 2015  max relations containing the same ideal: 112
  136. Wed Mar 25 21:05:27 2015  removing 6230182 relations and 4230280 ideals in 2000000 cliques
  137. Wed Mar 25 21:05:30 2015  commencing in-memory singleton removal
  138. Wed Mar 25 21:05:34 2015  begin with 30454148 relations and 33096295 unique ideals
  139. Wed Mar 25 21:06:05 2015  reduce to 29784475 relations and 28164622 ideals in 8 passes
  140. Wed Mar 25 21:06:05 2015  max relations containing the same ideal: 108
  141. Wed Mar 25 21:06:28 2015  removing 3282682 relations and 2377322 ideals in 905393 cliques
  142. Wed Mar 25 21:06:30 2015  commencing in-memory singleton removal
  143. Wed Mar 25 21:06:33 2015  begin with 26501793 relations and 28164622 unique ideals
  144. Wed Mar 25 21:06:56 2015  reduce to 26251108 relations and 25529799 ideals in 7 passes
  145. Wed Mar 25 21:06:56 2015  max relations containing the same ideal: 106
  146. Wed Mar 25 21:07:19 2015  relations with 0 large ideals: 23215
  147. Wed Mar 25 21:07:19 2015  relations with 1 large ideals: 10529
  148. Wed Mar 25 21:07:19 2015  relations with 2 large ideals: 134021
  149. Wed Mar 25 21:07:19 2015  relations with 3 large ideals: 849455
  150. Wed Mar 25 21:07:19 2015  relations with 4 large ideals: 2879365
  151. Wed Mar 25 21:07:19 2015  relations with 5 large ideals: 5754173
  152. Wed Mar 25 21:07:19 2015  relations with 6 large ideals: 7109156
  153. Wed Mar 25 21:07:19 2015  relations with 7+ large ideals: 9491194
  154. Wed Mar 25 21:07:19 2015  commencing 2-way merge
  155. Wed Mar 25 21:07:43 2015  reduce to 17289423 relation sets and 16557362 unique ideals
  156. Wed Mar 25 21:07:43 2015  commencing full merge
  157. Wed Mar 25 21:19:22 2015  memory use: 2249.3 MB
  158. Wed Mar 25 21:19:24 2015  found 7866574 cycles, need 7819562
  159. Wed Mar 25 21:19:27 2015  weight of 7819562 cycles is about 939027311 (120.09/cycle)
  160. Wed Mar 25 21:19:27 2015  distribution of cycle lengths:
  161. Wed Mar 25 21:19:27 2015  1 relations: 244512
  162. Wed Mar 25 21:19:27 2015  2 relations: 495628
  163. Wed Mar 25 21:19:27 2015  3 relations: 526309
  164. Wed Mar 25 21:19:27 2015  4 relations: 555988
  165. Wed Mar 25 21:19:27 2015  5 relations: 574903
  166. Wed Mar 25 21:19:27 2015  6 relations: 579089
  167. Wed Mar 25 21:19:27 2015  7 relations: 571759
  168. Wed Mar 25 21:19:27 2015  8 relations: 549588
  169. Wed Mar 25 21:19:27 2015  9 relations: 516914
  170. Wed Mar 25 21:19:27 2015  10+ relations: 3204872
  171. Wed Mar 25 21:19:27 2015  heaviest cycle: 28 relations
  172. Wed Mar 25 21:19:30 2015  commencing cycle optimization
  173. Wed Mar 25 21:19:55 2015  start with 70441463 relations
  174. Wed Mar 25 21:24:02 2015  pruned 3369734 relations
  175. Wed Mar 25 21:24:02 2015  memory use: 1815.8 MB
  176. Wed Mar 25 21:24:02 2015  distribution of cycle lengths:
  177. Wed Mar 25 21:24:02 2015  1 relations: 244512
  178. Wed Mar 25 21:24:02 2015  2 relations: 506732
  179. Wed Mar 25 21:24:02 2015  3 relations: 549614
  180. Wed Mar 25 21:24:02 2015  4 relations: 579622
  181. Wed Mar 25 21:24:02 2015  5 relations: 605406
  182. Wed Mar 25 21:24:02 2015  6 relations: 609416
  183. Wed Mar 25 21:24:02 2015  7 relations: 603290
  184. Wed Mar 25 21:24:02 2015  8 relations: 577708
  185. Wed Mar 25 21:24:02 2015  9 relations: 543975
  186. Wed Mar 25 21:24:02 2015  10+ relations: 2999287
  187. Wed Mar 25 21:24:02 2015  heaviest cycle: 28 relations
  188. Wed Mar 25 21:24:22 2015  RelProcTime: 12442
  189. Wed Mar 25 21:24:22 2015  elapsed time 03:27:24
  190. Sun Mar 29 07:08:46 2015  
  191. Sun Mar 29 07:08:46 2015  
  192. Sun Mar 29 07:08:46 2015  Msieve v. 1.52 (SVN 959)
  193. Sun Mar 29 07:08:46 2015  random seeds: 9ce4acf7 47302420
  194. Sun Mar 29 07:08:46 2015  factoring 125305027481148022936660008903425220446358576141739238188948376176754387441689636024807565480766825599123227769404579241793172517131370320204888023599079894194253052327153457659861093539751557175825146711476881441283801940375187509901 (234 digits)
  195. Sun Mar 29 07:08:48 2015  no P-1/P+1/ECM available, skipping
  196. Sun Mar 29 07:08:48 2015  commencing number field sieve (234-digit input)
  197. Sun Mar 29 07:08:48 2015  R0: -707378705613676210036263863218040145649
  198. Sun Mar 29 07:08:48 2015  R1: 1
  199. Sun Mar 29 07:08:48 2015  A0: -1
  200. Sun Mar 29 07:08:48 2015  A1: 0
  201. Sun Mar 29 07:08:48 2015  A2: 0
  202. Sun Mar 29 07:08:48 2015  A3: 0
  203. Sun Mar 29 07:08:48 2015  A4: 0
  204. Sun Mar 29 07:08:48 2015  A5: 0
  205. Sun Mar 29 07:08:48 2015  A6: 7673
  206. Sun Mar 29 07:08:48 2015  skew 1.00, size 9.493e-12, alpha -0.661, combined = 5.714e-13 rroots = 2
  207. Sun Mar 29 07:08:48 2015  
  208. Sun Mar 29 07:08:48 2015  commencing linear algebra
  209. Sun Mar 29 07:08:54 2015  read 7819562 cycles
  210. Sun Mar 29 07:09:12 2015  cycles contain 25788106 unique relations
  211. Sun Mar 29 07:39:07 2015  read 25788106 relations
  212. Sun Mar 29 07:39:58 2015  using 20 quadratic characters above 2147483054
  213. Sun Mar 29 07:41:40 2015  building initial matrix
  214. Sun Mar 29 07:47:11 2015  memory use: 3396.0 MB
  215. Sun Mar 29 07:47:53 2015  read 7819562 cycles
  216. Sun Mar 29 07:47:54 2015  matrix is 7819385 x 7819562 (3649.7 MB) with weight 1066792612 (136.43/col)
  217. Sun Mar 29 07:47:54 2015  sparse part has weight 870727956 (111.35/col)
  218. Sun Mar 29 07:49:34 2015  filtering completed in 2 passes
  219. Sun Mar 29 07:49:35 2015  matrix is 7819203 x 7749160 (3646.7 MB) with weight 1066784884 (137.66/col)
  220. Sun Mar 29 07:49:35 2015  sparse part has weight 870724805 (112.36/col)
  221. Sun Mar 29 07:50:57 2015  matrix starts at (0, 0)
  222. Sun Mar 29 07:50:58 2015  matrix is 7819203 x 7749160 (3646.7 MB) with weight 1066784884 (137.66/col)
  223. Sun Mar 29 07:50:58 2015  sparse part has weight 870724805 (112.36/col)
  224. Sun Mar 29 07:50:58 2015  matrix needs more columns than rows; try adding 2-3% more relations
  225. Sun Mar 29 07:50:58 2015  
  226. Sun Mar 29 07:50:58 2015  
  227. Sun Mar 29 07:50:58 2015  Msieve v. 1.52 (SVN 959)
  228. Sun Mar 29 07:50:58 2015  random seeds: 026b6b5f ba4a7e4d
  229. Sun Mar 29 07:50:58 2015  factoring 125305027481148022936660008903425220446358576141739238188948376176754387441689636024807565480766825599123227769404579241793172517131370320204888023599079894194253052327153457659861093539751557175825146711476881441283801940375187509901 (234 digits)
  230. Sun Mar 29 07:51:00 2015  no P-1/P+1/ECM available, skipping
  231. Sun Mar 29 07:51:00 2015  commencing number field sieve (234-digit input)
  232. Sun Mar 29 07:51:00 2015  R0: -707378705613676210036263863218040145649
  233. Sun Mar 29 07:51:00 2015  R1: 1
  234. Sun Mar 29 07:51:00 2015  A0: -1
  235. Sun Mar 29 07:51:00 2015  A1: 0
  236. Sun Mar 29 07:51:00 2015  A2: 0
  237. Sun Mar 29 07:51:00 2015  A3: 0
  238. Sun Mar 29 07:51:00 2015  A4: 0
  239. Sun Mar 29 07:51:00 2015  A5: 0
  240. Sun Mar 29 07:51:00 2015  A6: 7673
  241. Sun Mar 29 07:51:00 2015  skew 1.00, size 9.493e-12, alpha -0.661, combined = 5.714e-13 rroots = 2
  242. Sun Mar 29 07:51:00 2015  
  243. Sun Mar 29 07:51:00 2015  commencing square root phase
  244. Sun Mar 29 07:51:00 2015  reading relations for dependency 1
  245. Sun Mar 29 07:51:00 2015  error: read_cycles can't open dependency file
  246. Mon Mar 30 10:21:28 2015  
  247. Mon Mar 30 10:21:28 2015  
  248. Mon Mar 30 10:21:28 2015  Msieve v. 1.52 (SVN 959)
  249. Mon Mar 30 10:21:28 2015  random seeds: e7bde6b4 d406c5cf
  250. Mon Mar 30 10:21:28 2015  factoring 125305027481148022936660008903425220446358576141739238188948376176754387441689636024807565480766825599123227769404579241793172517131370320204888023599079894194253052327153457659861093539751557175825146711476881441283801940375187509901 (234 digits)
  251. Mon Mar 30 10:21:29 2015  no P-1/P+1/ECM available, skipping
  252. Mon Mar 30 10:21:29 2015  commencing number field sieve (234-digit input)
  253. Mon Mar 30 10:21:29 2015  R0: -707378705613676210036263863218040145649
  254. Mon Mar 30 10:21:29 2015  R1: 1
  255. Mon Mar 30 10:21:29 2015  A0: -1
  256. Mon Mar 30 10:21:29 2015  A1: 0
  257. Mon Mar 30 10:21:29 2015  A2: 0
  258. Mon Mar 30 10:21:29 2015  A3: 0
  259. Mon Mar 30 10:21:29 2015  A4: 0
  260. Mon Mar 30 10:21:29 2015  A5: 0
  261. Mon Mar 30 10:21:29 2015  A6: 7673
  262. Mon Mar 30 10:21:29 2015  skew 1.00, size 9.493e-12, alpha -0.661, combined = 5.714e-13 rroots = 2
  263. Mon Mar 30 10:21:29 2015  
  264. Mon Mar 30 10:21:29 2015  commencing relation filtering
  265. Mon Mar 30 10:21:29 2015  setting target matrix density to 110.0
  266. Mon Mar 30 10:21:29 2015  estimated available RAM is 16009.0 MB
  267. Mon Mar 30 10:21:29 2015  commencing duplicate removal, pass 1
  268. Mon Mar 30 10:25:16 2015  error -9 reading relation 20058775
  269. Mon Mar 30 10:25:29 2015  error -15 reading relation 21240252
  270. Mon Mar 30 10:29:43 2015  error -5 reading relation 44985237
  271. Mon Mar 30 10:29:43 2015  error -9 reading relation 44988258
  272. Mon Mar 30 10:30:05 2015  error -15 reading relation 46918552
  273. Mon Mar 30 10:30:53 2015  error -9 reading relation 51140197
  274. Mon Mar 30 10:42:38 2015  error -15 reading relation 114871878
  275. Mon Mar 30 10:43:16 2015  error -9 reading relation 118345940
  276. Mon Mar 30 10:43:23 2015  error -5 reading relation 118997963
  277. Mon Mar 30 10:43:25 2015  error -15 reading relation 119171234
  278. Mon Mar 30 10:43:27 2015  error -1 reading relation 119402981
  279. Mon Mar 30 10:43:43 2015  error -1 reading relation 120792770
  280. Mon Mar 30 10:43:59 2015  error -1 reading relation 122327407
  281. Mon Mar 30 10:44:05 2015  error -9 reading relation 122845272
  282. Mon Mar 30 10:46:18 2015  error -15 reading relation 134715793
  283. Mon Mar 30 10:46:18 2015  error -15 reading relation 134739813
  284. Mon Mar 30 10:46:42 2015  error -11 reading relation 136894119
  285. Mon Mar 30 10:46:42 2015  error -15 reading relation 136897850
  286. Mon Mar 30 10:49:48 2015  error -9 reading relation 153758787
  287. Mon Mar 30 10:52:08 2015  error -15 reading relation 165426585
  288. Mon Mar 30 10:56:42 2015  error -15 reading relation 189850859
  289. Mon Mar 30 10:57:46 2015  error -9 reading relation 195912444
  290. Mon Mar 30 10:58:22 2015  error -15 reading relation 199341687
  291. Mon Mar 30 10:58:23 2015  error -9 reading relation 199428261
  292. Mon Mar 30 10:58:36 2015  error -1 reading relation 200621210
  293. Mon Mar 30 10:59:52 2015  error -9 reading relation 207754361
  294. Mon Mar 30 11:00:17 2015  error -9 reading relation 210197148
  295. Mon Mar 30 11:00:22 2015  error -15 reading relation 210629130
  296. Mon Mar 30 11:01:24 2015  error -11 reading relation 216140578
  297. Mon Mar 30 11:01:44 2015  error -9 reading relation 217966670
  298. Mon Mar 30 11:01:56 2015  error -9 reading relation 219055090
  299. Mon Mar 30 11:02:24 2015  error -15 reading relation 221740910
  300. Mon Mar 30 11:02:57 2015  skipped 441 relations with b > 2^32
  301. Mon Mar 30 11:02:57 2015  found 35243231 hash collisions in 224260206 relations
  302. Mon Mar 30 11:03:10 2015  commencing duplicate removal, pass 2
  303. Mon Mar 30 11:16:20 2015  found 31136865 duplicates and 193123341 unique relations
  304. Mon Mar 30 11:16:20 2015  memory use: 1321.5 MB
  305. Mon Mar 30 11:16:20 2015  reading ideals above 115015680
  306. Mon Mar 30 11:16:20 2015  commencing singleton removal, initial pass
  307. Mon Mar 30 11:56:48 2015  memory use: 3012.0 MB
  308. Mon Mar 30 11:56:48 2015  reading all ideals from disk
  309. Mon Mar 30 11:57:26 2015  memory use: 3370.2 MB
  310. Mon Mar 30 11:57:34 2015  keeping 160282651 ideals with weight <= 200, target excess is 13361289
  311. Mon Mar 30 11:57:42 2015  commencing in-memory singleton removal
  312. Mon Mar 30 11:57:50 2015  begin with 193123341 relations and 160282651 unique ideals
  313. Mon Mar 30 11:59:14 2015  reduce to 124227226 relations and 84167347 ideals in 15 passes
  314. Mon Mar 30 11:59:14 2015  max relations containing the same ideal: 126
  315. Mon Mar 30 11:59:21 2015  reading ideals above 720000
  316. Mon Mar 30 11:59:21 2015  commencing singleton removal, initial pass
  317. Mon Mar 30 12:32:15 2015  memory use: 2756.0 MB
  318. Mon Mar 30 12:32:15 2015  reading all ideals from disk
  319. Mon Mar 30 12:33:11 2015  memory use: 4784.1 MB
  320. Mon Mar 30 12:33:25 2015  keeping 99949647 ideals with weight <= 200, target excess is 615942
  321. Mon Mar 30 12:33:39 2015  commencing in-memory singleton removal
  322. Mon Mar 30 12:33:50 2015  begin with 124227205 relations and 99949647 unique ideals
  323. Mon Mar 30 12:36:07 2015  reduce to 119860556 relations and 94404278 ideals in 13 passes
  324. Mon Mar 30 12:36:07 2015  max relations containing the same ideal: 200
  325. Mon Mar 30 12:36:59 2015  removing 10722521 relations and 8722521 ideals in 2000000 cliques
  326. Mon Mar 30 12:37:03 2015  commencing in-memory singleton removal
  327. Mon Mar 30 12:37:13 2015  begin with 109138035 relations and 94404278 unique ideals
  328. Mon Mar 30 12:38:37 2015  reduce to 108435640 relations and 84964556 ideals in 9 passes
  329. Mon Mar 30 12:38:37 2015  max relations containing the same ideal: 194
  330. Mon Mar 30 12:39:24 2015  removing 8117356 relations and 6117356 ideals in 2000000 cliques
  331. Mon Mar 30 12:39:28 2015  commencing in-memory singleton removal
  332. Mon Mar 30 12:39:36 2015  begin with 100318284 relations and 84964556 unique ideals
  333. Mon Mar 30 12:40:45 2015  reduce to 99847517 relations and 78367615 ideals in 8 passes
  334. Mon Mar 30 12:40:45 2015  max relations containing the same ideal: 186
  335. Mon Mar 30 12:41:29 2015  removing 7355250 relations and 5355250 ideals in 2000000 cliques
  336. Mon Mar 30 12:41:32 2015  commencing in-memory singleton removal
  337. Mon Mar 30 12:41:40 2015  begin with 92492267 relations and 78367615 unique ideals
  338. Mon Mar 30 12:42:41 2015  reduce to 92078512 relations and 72590849 ideals in 8 passes
  339. Mon Mar 30 12:42:41 2015  max relations containing the same ideal: 175
  340. Mon Mar 30 12:43:22 2015  removing 6968255 relations and 4968255 ideals in 2000000 cliques
  341. Mon Mar 30 12:43:25 2015  commencing in-memory singleton removal
  342. Mon Mar 30 12:43:32 2015  begin with 85110257 relations and 72590849 unique ideals
  343. Mon Mar 30 12:44:23 2015  reduce to 84717844 relations and 67222303 ideals in 7 passes
  344. Mon Mar 30 12:44:23 2015  max relations containing the same ideal: 166
  345. Mon Mar 30 12:45:00 2015  removing 6724547 relations and 4724547 ideals in 2000000 cliques
  346. Mon Mar 30 12:45:03 2015  commencing in-memory singleton removal
  347. Mon Mar 30 12:45:10 2015  begin with 77993297 relations and 67222303 unique ideals
  348. Mon Mar 30 12:45:55 2015  reduce to 77609089 relations and 62105360 ideals in 7 passes
  349. Mon Mar 30 12:45:55 2015  max relations containing the same ideal: 156
  350. Mon Mar 30 12:46:29 2015  removing 6559547 relations and 4559549 ideals in 2000000 cliques
  351. Mon Mar 30 12:46:32 2015  commencing in-memory singleton removal
  352. Mon Mar 30 12:46:38 2015  begin with 71049542 relations and 62105360 unique ideals
  353. Mon Mar 30 12:47:18 2015  reduce to 70660395 relations and 57147810 ideals in 7 passes
  354. Mon Mar 30 12:47:18 2015  max relations containing the same ideal: 147
  355. Mon Mar 30 12:47:50 2015  removing 6442289 relations and 4442292 ideals in 2000000 cliques
  356. Mon Mar 30 12:47:53 2015  commencing in-memory singleton removal
  357. Mon Mar 30 12:47:58 2015  begin with 64218106 relations and 57147810 unique ideals
  358. Mon Mar 30 12:48:30 2015  reduce to 63817566 relations and 52295053 ideals in 6 passes
  359. Mon Mar 30 12:48:30 2015  max relations containing the same ideal: 137
  360. Mon Mar 30 12:48:58 2015  removing 6363414 relations and 4363426 ideals in 2000000 cliques
  361. Mon Mar 30 12:49:00 2015  commencing in-memory singleton removal
  362. Mon Mar 30 12:49:05 2015  begin with 57454152 relations and 52295053 unique ideals
  363. Mon Mar 30 12:49:43 2015  reduce to 57029776 relations and 47495619 ideals in 8 passes
  364. Mon Mar 30 12:49:43 2015  max relations containing the same ideal: 129
  365. Mon Mar 30 12:50:08 2015  removing 6309539 relations and 4309561 ideals in 2000000 cliques
  366. Mon Mar 30 12:50:10 2015  commencing in-memory singleton removal
  367. Mon Mar 30 12:50:14 2015  begin with 50720237 relations and 47495619 unique ideals
  368. Mon Mar 30 12:50:42 2015  reduce to 50263311 relations and 42715057 ideals in 7 passes
  369. Mon Mar 30 12:50:42 2015  max relations containing the same ideal: 126
  370. Mon Mar 30 12:51:05 2015  removing 6267568 relations and 4267596 ideals in 2000000 cliques
  371. Mon Mar 30 12:51:07 2015  commencing in-memory singleton removal
  372. Mon Mar 30 12:51:11 2015  begin with 43995743 relations and 42715057 unique ideals
  373. Mon Mar 30 12:51:36 2015  reduce to 43493785 relations and 37928263 ideals in 7 passes
  374. Mon Mar 30 12:51:36 2015  max relations containing the same ideal: 114
  375. Mon Mar 30 12:51:56 2015  removing 6242844 relations and 4242901 ideals in 2000000 cliques
  376. Mon Mar 30 12:51:58 2015  commencing in-memory singleton removal
  377. Mon Mar 30 12:52:01 2015  begin with 37250941 relations and 37928263 unique ideals
  378. Mon Mar 30 12:52:21 2015  reduce to 36684330 relations and 33096295 ideals in 7 passes
  379. Mon Mar 30 12:52:21 2015  max relations containing the same ideal: 112
  380. Mon Mar 30 12:52:37 2015  removing 6230182 relations and 4230280 ideals in 2000000 cliques
  381. Mon Mar 30 12:52:39 2015  commencing in-memory singleton removal
  382. Mon Mar 30 12:52:42 2015  begin with 30454148 relations and 33096295 unique ideals
  383. Mon Mar 30 12:53:00 2015  reduce to 29784475 relations and 28164622 ideals in 8 passes
  384. Mon Mar 30 12:53:00 2015  max relations containing the same ideal: 108
  385. Mon Mar 30 12:53:13 2015  removing 3282682 relations and 2377322 ideals in 905393 cliques
  386. Mon Mar 30 12:53:15 2015  commencing in-memory singleton removal
  387. Mon Mar 30 12:53:17 2015  begin with 26501793 relations and 28164622 unique ideals
  388. Mon Mar 30 12:53:31 2015  reduce to 26251108 relations and 25529799 ideals in 7 passes
  389. Mon Mar 30 12:53:31 2015  max relations containing the same ideal: 106
  390. Mon Mar 30 12:53:47 2015  relations with 0 large ideals: 23215
  391. Mon Mar 30 12:53:47 2015  relations with 1 large ideals: 10529
  392. Mon Mar 30 12:53:47 2015  relations with 2 large ideals: 134021
  393. Mon Mar 30 12:53:47 2015  relations with 3 large ideals: 849455
  394. Mon Mar 30 12:53:47 2015  relations with 4 large ideals: 2879365
  395. Mon Mar 30 12:53:47 2015  relations with 5 large ideals: 5754173
  396. Mon Mar 30 12:53:47 2015  relations with 6 large ideals: 7109156
  397. Mon Mar 30 12:53:47 2015  relations with 7+ large ideals: 9491194
  398. Mon Mar 30 12:53:47 2015  commencing 2-way merge
  399. Mon Mar 30 12:54:02 2015  reduce to 17289423 relation sets and 16557362 unique ideals
  400. Mon Mar 30 12:54:02 2015  commencing full merge
  401. Mon Mar 30 13:00:29 2015  memory use: 2225.4 MB
  402. Mon Mar 30 13:00:30 2015  found 8101659 cycles, need 8023562
  403. Mon Mar 30 13:00:33 2015  weight of 8023562 cycles is about 883027050 (110.05/cycle)
  404. Mon Mar 30 13:00:33 2015  distribution of cycle lengths:
  405. Mon Mar 30 13:00:33 2015  1 relations: 305419
  406. Mon Mar 30 13:00:33 2015  2 relations: 570334
  407. Mon Mar 30 13:00:33 2015  3 relations: 603643
  408. Mon Mar 30 13:00:33 2015  4 relations: 627378
  409. Mon Mar 30 13:00:33 2015  5 relations: 646625
  410. Mon Mar 30 13:00:33 2015  6 relations: 639726
  411. Mon Mar 30 13:00:33 2015  7 relations: 624462
  412. Mon Mar 30 13:00:33 2015  8 relations: 588876
  413. Mon Mar 30 13:00:33 2015  9 relations: 545260
  414. Mon Mar 30 13:00:33 2015  10+ relations: 2871839
  415. Mon Mar 30 13:00:33 2015  heaviest cycle: 28 relations
  416. Mon Mar 30 13:00:35 2015  commencing cycle optimization
  417. Mon Mar 30 13:00:49 2015  start with 66309823 relations
  418. Mon Mar 30 13:03:09 2015  pruned 2931179 relations
  419. Mon Mar 30 13:03:09 2015  memory use: 1774.9 MB
  420. Mon Mar 30 13:03:09 2015  distribution of cycle lengths:
  421. Mon Mar 30 13:03:09 2015  1 relations: 305419
  422. Mon Mar 30 13:03:09 2015  2 relations: 582949
  423. Mon Mar 30 13:03:09 2015  3 relations: 630013
  424. Mon Mar 30 13:03:09 2015  4 relations: 653466
  425. Mon Mar 30 13:03:09 2015  5 relations: 679539
  426. Mon Mar 30 13:03:09 2015  6 relations: 671163
  427. Mon Mar 30 13:03:09 2015  7 relations: 656096
  428. Mon Mar 30 13:03:09 2015  8 relations: 616192
  429. Mon Mar 30 13:03:09 2015  9 relations: 568752
  430. Mon Mar 30 13:03:09 2015  10+ relations: 2659973
  431. Mon Mar 30 13:03:09 2015  heaviest cycle: 28 relations
  432. Mon Mar 30 13:03:24 2015  RelProcTime: 9715
  433. Mon Mar 30 13:03:24 2015  
  434. Mon Mar 30 13:03:24 2015  commencing linear algebra
  435. Mon Mar 30 13:03:27 2015  read 8023562 cycles
  436. Mon Mar 30 13:03:43 2015  cycles contain 25786831 unique relations
  437. Mon Mar 30 13:18:03 2015  read 25786831 relations
  438. Mon Mar 30 13:18:51 2015  using 20 quadratic characters above 2147481894
  439. Mon Mar 30 13:20:32 2015  building initial matrix
  440. Mon Mar 30 13:25:34 2015  memory use: 3388.0 MB
  441. Mon Mar 30 13:25:56 2015  read 8023562 cycles
  442. Mon Mar 30 13:25:57 2015  matrix is 8023385 x 8023562 (3482.4 MB) with weight 1021116794 (127.26/col)
  443. Mon Mar 30 13:25:57 2015  sparse part has weight 824618822 (102.77/col)
  444. Mon Mar 30 13:27:29 2015  filtering completed in 2 passes
  445. Mon Mar 30 13:27:30 2015  matrix is 8023002 x 7953020 (3479.4 MB) with weight 1021100369 (128.39/col)
  446. Mon Mar 30 13:27:30 2015  sparse part has weight 824611784 (103.69/col)
  447. Mon Mar 30 13:28:31 2015  matrix starts at (0, 0)
  448. Mon Mar 30 13:28:32 2015  matrix is 8023002 x 7953020 (3479.4 MB) with weight 1021100369 (128.39/col)
  449. Mon Mar 30 13:28:32 2015  sparse part has weight 824611784 (103.69/col)
  450. Mon Mar 30 13:28:32 2015  matrix needs more columns than rows; try adding 2-3% more relations
  451. Tue Mar 31 10:10:56 2015  
  452. Tue Mar 31 10:10:56 2015  
  453. Tue Mar 31 10:10:56 2015  Msieve v. 1.52 (SVN 959)
  454. Tue Mar 31 10:10:56 2015  random seeds: e024d55e 7e9c0b4a
  455. Tue Mar 31 10:10:56 2015  factoring 125305027481148022936660008903425220446358576141739238188948376176754387441689636024807565480766825599123227769404579241793172517131370320204888023599079894194253052327153457659861093539751557175825146711476881441283801940375187509901 (234 digits)
  456. Tue Mar 31 10:10:57 2015  no P-1/P+1/ECM available, skipping
  457. Tue Mar 31 10:10:57 2015  commencing number field sieve (234-digit input)
  458. Tue Mar 31 10:10:57 2015  R0: -707378705613676210036263863218040145649
  459. Tue Mar 31 10:10:57 2015  R1: 1
  460. Tue Mar 31 10:10:57 2015  A0: -1
  461. Tue Mar 31 10:10:57 2015  A1: 0
  462. Tue Mar 31 10:10:57 2015  A2: 0
  463. Tue Mar 31 10:10:57 2015  A3: 0
  464. Tue Mar 31 10:10:57 2015  A4: 0
  465. Tue Mar 31 10:10:57 2015  A5: 0
  466. Tue Mar 31 10:10:57 2015  A6: 7673
  467. Tue Mar 31 10:10:57 2015  skew 1.00, size 9.493e-12, alpha -0.661, combined = 5.714e-13 rroots = 2
  468. Tue Mar 31 10:10:57 2015  
  469. Tue Mar 31 10:10:57 2015  commencing relation filtering
  470. Tue Mar 31 10:10:57 2015  setting target matrix density to 100.0
  471. Tue Mar 31 10:10:57 2015  estimated available RAM is 16009.0 MB
  472. Tue Mar 31 10:10:57 2015  commencing duplicate removal, pass 1
  473. Tue Mar 31 10:14:31 2015  error -9 reading relation 20058775
  474. Tue Mar 31 10:14:43 2015  error -15 reading relation 21240252
  475. Tue Mar 31 10:19:04 2015  error -5 reading relation 44985237
  476. Tue Mar 31 10:19:04 2015  error -9 reading relation 44988258
  477. Tue Mar 31 10:19:27 2015  error -15 reading relation 46918552
  478. Tue Mar 31 10:20:32 2015  error -9 reading relation 51140197
  479. Tue Mar 31 10:32:07 2015  error -15 reading relation 114871878
  480. Tue Mar 31 10:32:44 2015  error -9 reading relation 118345940
  481. Tue Mar 31 10:32:51 2015  error -5 reading relation 118997963
  482. Tue Mar 31 10:32:53 2015  error -15 reading relation 119171234
  483. Tue Mar 31 10:32:55 2015  error -1 reading relation 119402981
  484. Tue Mar 31 10:33:10 2015  error -1 reading relation 120792770
  485. Tue Mar 31 10:33:25 2015  error -1 reading relation 122327407
  486. Tue Mar 31 10:33:31 2015  error -9 reading relation 122845272
  487. Tue Mar 31 10:35:37 2015  error -15 reading relation 134715793
  488. Tue Mar 31 10:35:37 2015  error -15 reading relation 134739813
  489. Tue Mar 31 10:36:00 2015  error -11 reading relation 136894119
  490. Tue Mar 31 10:36:00 2015  error -15 reading relation 136897850
  491. Tue Mar 31 10:39:04 2015  error -9 reading relation 153758787
  492. Tue Mar 31 10:41:05 2015  error -15 reading relation 165426585
  493. Tue Mar 31 10:45:33 2015  error -15 reading relation 189850859
  494. Tue Mar 31 10:46:36 2015  error -9 reading relation 195912444
  495. Tue Mar 31 10:47:11 2015  error -15 reading relation 199341687
  496. Tue Mar 31 10:47:12 2015  error -9 reading relation 199428261
  497. Tue Mar 31 10:47:25 2015  error -1 reading relation 200621210
  498. Tue Mar 31 10:48:35 2015  error -9 reading relation 207754361
  499. Tue Mar 31 10:48:58 2015  error -9 reading relation 210197148
  500. Tue Mar 31 10:49:03 2015  error -15 reading relation 210629130
  501. Tue Mar 31 10:50:00 2015  error -11 reading relation 216140578
  502. Tue Mar 31 10:50:19 2015  error -9 reading relation 217966670
  503. Tue Mar 31 10:50:30 2015  error -9 reading relation 219055090
  504. Tue Mar 31 10:50:57 2015  error -15 reading relation 221740910
  505. Tue Mar 31 10:51:28 2015  skipped 441 relations with b > 2^32
  506. Tue Mar 31 10:51:28 2015  found 35243231 hash collisions in 224260206 relations
  507. Tue Mar 31 10:51:41 2015  commencing duplicate removal, pass 2
  508. Tue Mar 31 11:04:06 2015  found 31136865 duplicates and 193123341 unique relations
  509. Tue Mar 31 11:04:06 2015  memory use: 1321.5 MB
  510. Tue Mar 31 11:04:06 2015  reading ideals above 115015680
  511. Tue Mar 31 11:04:06 2015  commencing singleton removal, initial pass
  512. Tue Mar 31 11:43:01 2015  memory use: 3012.0 MB
  513. Tue Mar 31 11:43:02 2015  reading all ideals from disk
  514. Tue Mar 31 11:43:56 2015  memory use: 3370.2 MB
  515. Tue Mar 31 11:44:04 2015  keeping 160282651 ideals with weight <= 200, target excess is 13361289
  516. Tue Mar 31 11:44:12 2015  commencing in-memory singleton removal
  517. Tue Mar 31 11:44:19 2015  begin with 193123341 relations and 160282651 unique ideals
  518. Tue Mar 31 11:45:44 2015  reduce to 124227226 relations and 84167347 ideals in 15 passes
  519. Tue Mar 31 11:45:44 2015  max relations containing the same ideal: 126
  520. Tue Mar 31 11:45:50 2015  reading ideals above 720000
  521. Tue Mar 31 11:45:51 2015  commencing singleton removal, initial pass
  522. Tue Mar 31 12:18:34 2015  memory use: 2756.0 MB
  523. Tue Mar 31 12:18:34 2015  reading all ideals from disk
  524. Tue Mar 31 12:19:34 2015  memory use: 4784.1 MB
  525. Tue Mar 31 12:19:48 2015  keeping 99949647 ideals with weight <= 200, target excess is 615942
  526. Tue Mar 31 12:20:01 2015  commencing in-memory singleton removal
  527. Tue Mar 31 12:20:12 2015  begin with 124227205 relations and 99949647 unique ideals
  528. Tue Mar 31 12:22:25 2015  reduce to 119860556 relations and 94404278 ideals in 13 passes
  529. Tue Mar 31 12:22:25 2015  max relations containing the same ideal: 200
  530. Tue Mar 31 12:23:17 2015  removing 10722521 relations and 8722521 ideals in 2000000 cliques
  531. Tue Mar 31 12:23:21 2015  commencing in-memory singleton removal
  532. Tue Mar 31 12:23:30 2015  begin with 109138035 relations and 94404278 unique ideals
  533. Tue Mar 31 12:24:54 2015  reduce to 108435640 relations and 84964556 ideals in 9 passes
  534. Tue Mar 31 12:24:54 2015  max relations containing the same ideal: 194
  535. Tue Mar 31 12:25:41 2015  removing 8117356 relations and 6117356 ideals in 2000000 cliques
  536. Tue Mar 31 12:25:44 2015  commencing in-memory singleton removal
  537. Tue Mar 31 12:25:53 2015  begin with 100318284 relations and 84964556 unique ideals
  538. Tue Mar 31 12:27:01 2015  reduce to 99847517 relations and 78367615 ideals in 8 passes
  539. Tue Mar 31 12:27:01 2015  max relations containing the same ideal: 186
  540. Tue Mar 31 12:27:44 2015  removing 7355250 relations and 5355250 ideals in 2000000 cliques
  541. Tue Mar 31 12:27:47 2015  commencing in-memory singleton removal
  542. Tue Mar 31 12:27:55 2015  begin with 92492267 relations and 78367615 unique ideals
  543. Tue Mar 31 12:28:57 2015  reduce to 92078512 relations and 72590849 ideals in 8 passes
  544. Tue Mar 31 12:28:57 2015  max relations containing the same ideal: 175
  545. Tue Mar 31 12:29:37 2015  removing 6968255 relations and 4968255 ideals in 2000000 cliques
  546. Tue Mar 31 12:29:39 2015  commencing in-memory singleton removal
  547. Tue Mar 31 12:29:46 2015  begin with 85110257 relations and 72590849 unique ideals
  548. Tue Mar 31 12:30:36 2015  reduce to 84717844 relations and 67222303 ideals in 7 passes
  549. Tue Mar 31 12:30:36 2015  max relations containing the same ideal: 166
  550. Tue Mar 31 12:31:13 2015  removing 6724547 relations and 4724547 ideals in 2000000 cliques
  551. Tue Mar 31 12:31:15 2015  commencing in-memory singleton removal
  552. Tue Mar 31 12:31:22 2015  begin with 77993297 relations and 67222303 unique ideals
  553. Tue Mar 31 12:32:06 2015  reduce to 77609089 relations and 62105360 ideals in 7 passes
  554. Tue Mar 31 12:32:06 2015  max relations containing the same ideal: 156
  555. Tue Mar 31 12:32:40 2015  removing 6559547 relations and 4559549 ideals in 2000000 cliques
  556. Tue Mar 31 12:32:43 2015  commencing in-memory singleton removal
  557. Tue Mar 31 12:32:49 2015  begin with 71049542 relations and 62105360 unique ideals
  558. Tue Mar 31 12:33:29 2015  reduce to 70660395 relations and 57147810 ideals in 7 passes
  559. Tue Mar 31 12:33:29 2015  max relations containing the same ideal: 147
  560. Tue Mar 31 12:34:00 2015  removing 6442289 relations and 4442292 ideals in 2000000 cliques
  561. Tue Mar 31 12:34:02 2015  commencing in-memory singleton removal
  562. Tue Mar 31 12:34:08 2015  begin with 64218106 relations and 57147810 unique ideals
  563. Tue Mar 31 12:34:39 2015  reduce to 63817566 relations and 52295053 ideals in 6 passes
  564. Tue Mar 31 12:34:39 2015  max relations containing the same ideal: 137
  565. Tue Mar 31 12:35:07 2015  removing 6363414 relations and 4363426 ideals in 2000000 cliques
  566. Tue Mar 31 12:35:09 2015  commencing in-memory singleton removal
  567. Tue Mar 31 12:35:14 2015  begin with 57454152 relations and 52295053 unique ideals
  568. Tue Mar 31 12:35:50 2015  reduce to 57029776 relations and 47495619 ideals in 8 passes
  569. Tue Mar 31 12:35:50 2015  max relations containing the same ideal: 129
  570. Tue Mar 31 12:36:16 2015  removing 6309539 relations and 4309561 ideals in 2000000 cliques
  571. Tue Mar 31 12:36:18 2015  commencing in-memory singleton removal
  572. Tue Mar 31 12:36:22 2015  begin with 50720237 relations and 47495619 unique ideals
  573. Tue Mar 31 12:36:51 2015  reduce to 50263311 relations and 42715057 ideals in 7 passes
  574. Tue Mar 31 12:36:51 2015  max relations containing the same ideal: 126
  575. Tue Mar 31 12:37:14 2015  removing 6267568 relations and 4267596 ideals in 2000000 cliques
  576. Tue Mar 31 12:37:16 2015  commencing in-memory singleton removal
  577. Tue Mar 31 12:37:19 2015  begin with 43995743 relations and 42715057 unique ideals
  578. Tue Mar 31 12:37:44 2015  reduce to 43493785 relations and 37928263 ideals in 7 passes
  579. Tue Mar 31 12:37:44 2015  max relations containing the same ideal: 114
  580. Tue Mar 31 12:38:04 2015  removing 6242844 relations and 4242901 ideals in 2000000 cliques
  581. Tue Mar 31 12:38:06 2015  commencing in-memory singleton removal
  582. Tue Mar 31 12:38:08 2015  begin with 37250941 relations and 37928263 unique ideals
  583. Tue Mar 31 12:38:28 2015  reduce to 36684330 relations and 33096295 ideals in 7 passes
  584. Tue Mar 31 12:38:28 2015  max relations containing the same ideal: 112
  585. Tue Mar 31 12:38:45 2015  removing 6230182 relations and 4230280 ideals in 2000000 cliques
  586. Tue Mar 31 12:38:46 2015  commencing in-memory singleton removal
  587. Tue Mar 31 12:38:49 2015  begin with 30454148 relations and 33096295 unique ideals
  588. Tue Mar 31 12:39:07 2015  reduce to 29784475 relations and 28164622 ideals in 8 passes
  589. Tue Mar 31 12:39:07 2015  max relations containing the same ideal: 108
  590. Tue Mar 31 12:39:20 2015  removing 3282682 relations and 2377322 ideals in 905393 cliques
  591. Tue Mar 31 12:39:21 2015  commencing in-memory singleton removal
  592. Tue Mar 31 12:39:23 2015  begin with 26501793 relations and 28164622 unique ideals
  593. Tue Mar 31 12:39:37 2015  reduce to 26251108 relations and 25529799 ideals in 7 passes
  594. Tue Mar 31 12:39:37 2015  max relations containing the same ideal: 106
  595. Tue Mar 31 12:39:53 2015  relations with 0 large ideals: 23215
  596. Tue Mar 31 12:39:53 2015  relations with 1 large ideals: 10529
  597. Tue Mar 31 12:39:53 2015  relations with 2 large ideals: 134021
  598. Tue Mar 31 12:39:53 2015  relations with 3 large ideals: 849455
  599. Tue Mar 31 12:39:53 2015  relations with 4 large ideals: 2879365
  600. Tue Mar 31 12:39:53 2015  relations with 5 large ideals: 5754173
  601. Tue Mar 31 12:39:53 2015  relations with 6 large ideals: 7109156
  602. Tue Mar 31 12:39:53 2015  relations with 7+ large ideals: 9491194
  603. Tue Mar 31 12:39:53 2015  commencing 2-way merge
  604. Tue Mar 31 12:40:07 2015  reduce to 17289423 relation sets and 16557362 unique ideals
  605. Tue Mar 31 12:40:07 2015  commencing full merge
  606. Tue Mar 31 12:45:53 2015  memory use: 2193.5 MB
  607. Tue Mar 31 12:45:55 2015  found 8357089 cycles, need 8259562
  608. Tue Mar 31 12:45:57 2015  weight of 8259562 cycles is about 826324555 (100.04/cycle)
  609. Tue Mar 31 12:45:57 2015  distribution of cycle lengths:
  610. Tue Mar 31 12:45:57 2015  1 relations: 392366
  611. Tue Mar 31 12:45:57 2015  2 relations: 671874
  612. Tue Mar 31 12:45:57 2015  3 relations: 700918
  613. Tue Mar 31 12:45:57 2015  4 relations: 714263
  614. Tue Mar 31 12:45:57 2015  5 relations: 721886
  615. Tue Mar 31 12:45:57 2015  6 relations: 710140
  616. Tue Mar 31 12:45:57 2015  7 relations: 675157
  617. Tue Mar 31 12:45:57 2015  8 relations: 625163
  618. Tue Mar 31 12:45:57 2015  9 relations: 562976
  619. Tue Mar 31 12:45:57 2015  10+ relations: 2484819
  620. Tue Mar 31 12:45:57 2015  heaviest cycle: 26 relations
  621. Tue Mar 31 12:45:59 2015  commencing cycle optimization
  622. Tue Mar 31 12:46:13 2015  start with 62083147 relations
  623. Tue Mar 31 12:48:10 2015  pruned 2503345 relations
  624. Tue Mar 31 12:48:10 2015  memory use: 1732.2 MB
  625. Tue Mar 31 12:48:10 2015  distribution of cycle lengths:
  626. Tue Mar 31 12:48:10 2015  1 relations: 392366
  627. Tue Mar 31 12:48:10 2015  2 relations: 686377
  628. Tue Mar 31 12:48:10 2015  3 relations: 730526
  629. Tue Mar 31 12:48:10 2015  4 relations: 742404
  630. Tue Mar 31 12:48:10 2015  5 relations: 757173
  631. Tue Mar 31 12:48:10 2015  6 relations: 741531
  632. Tue Mar 31 12:48:10 2015  7 relations: 706122
  633. Tue Mar 31 12:48:10 2015  8 relations: 649212
  634. Tue Mar 31 12:48:10 2015  9 relations: 580746
  635. Tue Mar 31 12:48:10 2015  10+ relations: 2273105
  636. Tue Mar 31 12:48:10 2015  heaviest cycle: 25 relations
  637. Tue Mar 31 12:48:27 2015  RelProcTime: 9450
  638. Tue Mar 31 12:48:27 2015  
  639. Tue Mar 31 12:48:27 2015  commencing linear algebra
  640. Tue Mar 31 12:48:28 2015  read 8259562 cycles
  641. Tue Mar 31 12:48:43 2015  cycles contain 25783877 unique relations
  642. Tue Mar 31 13:09:39 2015  read 25783877 relations
  643. Tue Mar 31 13:10:23 2015  using 20 quadratic characters above 2147481894
  644. Tue Mar 31 13:12:03 2015  building initial matrix
  645. Tue Mar 31 13:16:37 2015  memory use: 3380.4 MB
  646. Tue Mar 31 13:17:05 2015  read 8259562 cycles
  647. Tue Mar 31 13:17:06 2015  matrix is 8259380 x 8259562 (3311.2 MB) with weight 974142745 (117.94/col)
  648. Tue Mar 31 13:17:06 2015  sparse part has weight 777154274 (94.09/col)
  649. Tue Mar 31 13:18:31 2015  filtering completed in 2 passes
  650. Tue Mar 31 13:18:33 2015  matrix is 8258768 x 8188890 (3308.2 MB) with weight 974118752 (118.96/col)
  651. Tue Mar 31 13:18:33 2015  sparse part has weight 777144605 (94.90/col)
  652. Tue Mar 31 13:19:32 2015  matrix starts at (0, 0)
  653. Tue Mar 31 13:19:33 2015  matrix is 8258768 x 8188890 (3308.2 MB) with weight 974118752 (118.96/col)
  654. Tue Mar 31 13:19:33 2015  sparse part has weight 777144605 (94.90/col)
  655. Tue Mar 31 13:19:33 2015  matrix needs more columns than rows; try adding 2-3% more relations
  656. Wed Apr  1 11:10:52 2015  
  657. Wed Apr  1 11:10:52 2015  
  658. Wed Apr  1 11:10:52 2015  Msieve v. 1.52 (SVN 959)
  659. Wed Apr  1 11:10:52 2015  random seeds: 8d14f33f 947d29b9
  660. Wed Apr  1 11:10:52 2015  factoring 125305027481148022936660008903425220446358576141739238188948376176754387441689636024807565480766825599123227769404579241793172517131370320204888023599079894194253052327153457659861093539751557175825146711476881441283801940375187509901 (234 digits)
  661. Wed Apr  1 11:10:53 2015  no P-1/P+1/ECM available, skipping
  662. Wed Apr  1 11:10:53 2015  commencing number field sieve (234-digit input)
  663. Wed Apr  1 11:10:53 2015  R0: -707378705613676210036263863218040145649
  664. Wed Apr  1 11:10:53 2015  R1: 1
  665. Wed Apr  1 11:10:53 2015  A0: -1
  666. Wed Apr  1 11:10:53 2015  A1: 0
  667. Wed Apr  1 11:10:53 2015  A2: 0
  668. Wed Apr  1 11:10:53 2015  A3: 0
  669. Wed Apr  1 11:10:53 2015  A4: 0
  670. Wed Apr  1 11:10:53 2015  A5: 0
  671. Wed Apr  1 11:10:53 2015  A6: 7673
  672. Wed Apr  1 11:10:53 2015  skew 1.00, size 9.493e-12, alpha -0.661, combined = 5.714e-13 rroots = 2
  673. Wed Apr  1 11:10:53 2015  
  674. Wed Apr  1 11:10:53 2015  commencing relation filtering
  675. Wed Apr  1 11:10:53 2015  setting target matrix density to 90.0
  676. Wed Apr  1 11:10:53 2015  estimated available RAM is 16009.0 MB
  677. Wed Apr  1 11:10:53 2015  commencing duplicate removal, pass 1
  678. Wed Apr  1 11:14:27 2015  error -9 reading relation 20058775
  679. Wed Apr  1 11:14:39 2015  error -15 reading relation 21240252
  680. Wed Apr  1 11:18:43 2015  error -5 reading relation 44985237
  681. Wed Apr  1 11:18:43 2015  error -9 reading relation 44988258
  682. Wed Apr  1 11:19:02 2015  error -15 reading relation 46918552
  683. Wed Apr  1 11:19:46 2015  error -9 reading relation 51140197
  684. Wed Apr  1 11:31:06 2015  error -15 reading relation 114871878
  685. Wed Apr  1 11:31:41 2015  error -9 reading relation 118345940
  686. Wed Apr  1 11:31:48 2015  error -5 reading relation 118997963
  687. Wed Apr  1 11:31:50 2015  error -15 reading relation 119171234
  688. Wed Apr  1 11:31:52 2015  error -1 reading relation 119402981
  689. Wed Apr  1 11:32:06 2015  error -1 reading relation 120792770
  690. Wed Apr  1 11:32:21 2015  error -1 reading relation 122327407
  691. Wed Apr  1 11:32:27 2015  error -9 reading relation 122845272
  692. Wed Apr  1 11:34:33 2015  error -15 reading relation 134715793
  693. Wed Apr  1 11:34:33 2015  error -15 reading relation 134739813
  694. Wed Apr  1 11:34:56 2015  error -11 reading relation 136894119
  695. Wed Apr  1 11:34:56 2015  error -15 reading relation 136897850
  696. Wed Apr  1 11:38:01 2015  error -9 reading relation 153758787
  697. Wed Apr  1 11:40:05 2015  error -15 reading relation 165426585
  698. Wed Apr  1 11:44:23 2015  error -15 reading relation 189850859
  699. Wed Apr  1 11:45:25 2015  error -9 reading relation 195912444
  700. Wed Apr  1 11:46:01 2015  error -15 reading relation 199341687
  701. Wed Apr  1 11:46:02 2015  error -9 reading relation 199428261
  702. Wed Apr  1 11:46:14 2015  error -1 reading relation 200621210
  703. Wed Apr  1 11:47:26 2015  error -9 reading relation 207754361
  704. Wed Apr  1 11:47:50 2015  error -9 reading relation 210197148
  705. Wed Apr  1 11:47:55 2015  error -15 reading relation 210629130
  706. Wed Apr  1 11:48:54 2015  error -11 reading relation 216140578
  707. Wed Apr  1 11:49:13 2015  error -9 reading relation 217966670
  708. Wed Apr  1 11:49:25 2015  error -9 reading relation 219055090
  709. Wed Apr  1 11:49:53 2015  error -15 reading relation 221740910
  710. Wed Apr  1 11:50:25 2015  skipped 441 relations with b > 2^32
  711. Wed Apr  1 11:50:25 2015  found 35243231 hash collisions in 224260206 relations
  712. Wed Apr  1 11:50:38 2015  commencing duplicate removal, pass 2
  713. Wed Apr  1 12:08:52 2015  found 31136865 duplicates and 193123341 unique relations
  714. Wed Apr  1 12:08:52 2015  memory use: 1321.5 MB
  715. Wed Apr  1 12:08:52 2015  reading ideals above 115015680
  716. Wed Apr  1 12:08:52 2015  commencing singleton removal, initial pass
  717. Wed Apr  1 12:46:22 2015  memory use: 3012.0 MB
  718. Wed Apr  1 12:46:23 2015  reading all ideals from disk
  719. Wed Apr  1 12:47:01 2015  memory use: 3370.2 MB
  720. Wed Apr  1 12:47:08 2015  keeping 160282651 ideals with weight <= 200, target excess is 13361289
  721. Wed Apr  1 12:47:16 2015  commencing in-memory singleton removal
  722. Wed Apr  1 12:47:23 2015  begin with 193123341 relations and 160282651 unique ideals
  723. Wed Apr  1 12:48:43 2015  reduce to 124227226 relations and 84167347 ideals in 15 passes
  724. Wed Apr  1 12:48:43 2015  max relations containing the same ideal: 126
  725. Wed Apr  1 12:48:50 2015  reading ideals above 720000
  726. Wed Apr  1 12:48:50 2015  commencing singleton removal, initial pass
  727. Wed Apr  1 13:21:18 2015  memory use: 2756.0 MB
  728. Wed Apr  1 13:21:18 2015  reading all ideals from disk
  729. Wed Apr  1 13:22:17 2015  memory use: 4784.1 MB
  730. Wed Apr  1 13:22:31 2015  keeping 99949647 ideals with weight <= 200, target excess is 615942
  731. Wed Apr  1 13:22:46 2015  commencing in-memory singleton removal
  732. Wed Apr  1 13:22:56 2015  begin with 124227205 relations and 99949647 unique ideals
  733. Wed Apr  1 13:25:13 2015  reduce to 119860556 relations and 94404278 ideals in 13 passes
  734. Wed Apr  1 13:25:13 2015  max relations containing the same ideal: 200
  735. Wed Apr  1 13:26:05 2015  removing 10722521 relations and 8722521 ideals in 2000000 cliques
  736. Wed Apr  1 13:26:09 2015  commencing in-memory singleton removal
  737. Wed Apr  1 13:26:19 2015  begin with 109138035 relations and 94404278 unique ideals
  738. Wed Apr  1 13:27:43 2015  reduce to 108435640 relations and 84964556 ideals in 9 passes
  739. Wed Apr  1 13:27:43 2015  max relations containing the same ideal: 194
  740. Wed Apr  1 13:28:30 2015  removing 8117356 relations and 6117356 ideals in 2000000 cliques
  741. Wed Apr  1 13:28:33 2015  commencing in-memory singleton removal
  742. Wed Apr  1 13:28:41 2015  begin with 100318284 relations and 84964556 unique ideals
  743. Wed Apr  1 13:29:48 2015  reduce to 99847517 relations and 78367615 ideals in 8 passes
  744. Wed Apr  1 13:29:48 2015  max relations containing the same ideal: 186
  745. Wed Apr  1 13:30:31 2015  removing 7355250 relations and 5355250 ideals in 2000000 cliques
  746. Wed Apr  1 13:30:34 2015  commencing in-memory singleton removal
  747. Wed Apr  1 13:30:41 2015  begin with 92492267 relations and 78367615 unique ideals
  748. Wed Apr  1 13:31:42 2015  reduce to 92078512 relations and 72590849 ideals in 8 passes
  749. Wed Apr  1 13:31:42 2015  max relations containing the same ideal: 175
  750. Wed Apr  1 13:32:22 2015  removing 6968255 relations and 4968255 ideals in 2000000 cliques
  751. Wed Apr  1 13:32:25 2015  commencing in-memory singleton removal
  752. Wed Apr  1 13:32:32 2015  begin with 85110257 relations and 72590849 unique ideals
  753. Wed Apr  1 13:33:21 2015  reduce to 84717844 relations and 67222303 ideals in 7 passes
  754. Wed Apr  1 13:33:21 2015  max relations containing the same ideal: 166
  755. Wed Apr  1 13:33:58 2015  removing 6724547 relations and 4724547 ideals in 2000000 cliques
  756. Wed Apr  1 13:34:00 2015  commencing in-memory singleton removal
  757. Wed Apr  1 13:34:07 2015  begin with 77993297 relations and 67222303 unique ideals
  758. Wed Apr  1 13:34:51 2015  reduce to 77609089 relations and 62105360 ideals in 7 passes
  759. Wed Apr  1 13:34:51 2015  max relations containing the same ideal: 156
  760. Wed Apr  1 13:35:25 2015  removing 6559547 relations and 4559549 ideals in 2000000 cliques
  761. Wed Apr  1 13:35:28 2015  commencing in-memory singleton removal
  762. Wed Apr  1 13:35:34 2015  begin with 71049542 relations and 62105360 unique ideals
  763. Wed Apr  1 13:36:15 2015  reduce to 70660395 relations and 57147810 ideals in 7 passes
  764. Wed Apr  1 13:36:15 2015  max relations containing the same ideal: 147
  765. Wed Apr  1 13:36:47 2015  removing 6442289 relations and 4442292 ideals in 2000000 cliques
  766. Wed Apr  1 13:36:49 2015  commencing in-memory singleton removal
  767. Wed Apr  1 13:36:55 2015  begin with 64218106 relations and 57147810 unique ideals
  768. Wed Apr  1 13:37:26 2015  reduce to 63817566 relations and 52295053 ideals in 6 passes
  769. Wed Apr  1 13:37:26 2015  max relations containing the same ideal: 137
  770. Wed Apr  1 13:37:54 2015  removing 6363414 relations and 4363426 ideals in 2000000 cliques
  771. Wed Apr  1 13:37:56 2015  commencing in-memory singleton removal
  772. Wed Apr  1 13:38:00 2015  begin with 57454152 relations and 52295053 unique ideals
  773. Wed Apr  1 13:38:37 2015  reduce to 57029776 relations and 47495619 ideals in 8 passes
  774. Wed Apr  1 13:38:37 2015  max relations containing the same ideal: 129
  775. Wed Apr  1 13:39:02 2015  removing 6309539 relations and 4309561 ideals in 2000000 cliques
  776. Wed Apr  1 13:39:04 2015  commencing in-memory singleton removal
  777. Wed Apr  1 13:39:08 2015  begin with 50720237 relations and 47495619 unique ideals
  778. Wed Apr  1 13:39:37 2015  reduce to 50263311 relations and 42715057 ideals in 7 passes
  779. Wed Apr  1 13:39:37 2015  max relations containing the same ideal: 126
  780. Wed Apr  1 13:39:59 2015  removing 6267568 relations and 4267596 ideals in 2000000 cliques
  781. Wed Apr  1 13:40:01 2015  commencing in-memory singleton removal
  782. Wed Apr  1 13:40:07 2015  begin with 43995743 relations and 42715057 unique ideals
  783. Wed Apr  1 13:40:57 2015  reduce to 43493785 relations and 37928263 ideals in 7 passes
  784. Wed Apr  1 13:40:57 2015  max relations containing the same ideal: 114
  785. Wed Apr  1 13:41:29 2015  removing 6242844 relations and 4242901 ideals in 2000000 cliques
  786. Wed Apr  1 13:41:31 2015  commencing in-memory singleton removal
  787. Wed Apr  1 13:41:36 2015  begin with 37250941 relations and 37928263 unique ideals
  788. Wed Apr  1 13:42:19 2015  reduce to 36684330 relations and 33096295 ideals in 7 passes
  789. Wed Apr  1 13:42:19 2015  max relations containing the same ideal: 112
  790. Wed Apr  1 13:42:46 2015  removing 6230182 relations and 4230280 ideals in 2000000 cliques
  791. Wed Apr  1 13:42:48 2015  commencing in-memory singleton removal
  792. Wed Apr  1 13:42:52 2015  begin with 30454148 relations and 33096295 unique ideals
  793. Wed Apr  1 13:43:32 2015  reduce to 29784475 relations and 28164622 ideals in 8 passes
  794. Wed Apr  1 13:43:32 2015  max relations containing the same ideal: 108
  795. Wed Apr  1 13:43:54 2015  removing 3282682 relations and 2377322 ideals in 905393 cliques
  796. Wed Apr  1 13:43:55 2015  commencing in-memory singleton removal
  797. Wed Apr  1 13:43:58 2015  begin with 26501793 relations and 28164622 unique ideals
  798. Wed Apr  1 13:44:25 2015  reduce to 26251108 relations and 25529799 ideals in 7 passes
  799. Wed Apr  1 13:44:25 2015  max relations containing the same ideal: 106
  800. Wed Apr  1 13:44:42 2015  relations with 0 large ideals: 23215
  801. Wed Apr  1 13:44:42 2015  relations with 1 large ideals: 10529
  802. Wed Apr  1 13:44:42 2015  relations with 2 large ideals: 134021
  803. Wed Apr  1 13:44:42 2015  relations with 3 large ideals: 849455
  804. Wed Apr  1 13:44:42 2015  relations with 4 large ideals: 2879365
  805. Wed Apr  1 13:44:42 2015  relations with 5 large ideals: 5754173
  806. Wed Apr  1 13:44:42 2015  relations with 6 large ideals: 7109156
  807. Wed Apr  1 13:44:42 2015  relations with 7+ large ideals: 9491194
  808. Wed Apr  1 13:44:42 2015  commencing 2-way merge
  809. Wed Apr  1 13:44:58 2015  reduce to 17289423 relation sets and 16557362 unique ideals
  810. Wed Apr  1 13:44:58 2015  commencing full merge
  811. Wed Apr  1 13:50:09 2015  memory use: 2155.8 MB
  812. Wed Apr  1 13:50:11 2015  found 8649764 cycles, need 8541562
  813. Wed Apr  1 13:50:13 2015  weight of 8541562 cycles is about 768875127 (90.02/cycle)
  814. Wed Apr  1 13:50:13 2015  distribution of cycle lengths:
  815. Wed Apr  1 13:50:13 2015  1 relations: 510488
  816. Wed Apr  1 13:50:13 2015  2 relations: 789690
  817. Wed Apr  1 13:50:13 2015  3 relations: 814908
  818. Wed Apr  1 13:50:13 2015  4 relations: 823051
  819. Wed Apr  1 13:50:13 2015  5 relations: 822218
  820. Wed Apr  1 13:50:13 2015  6 relations: 785413
  821. Wed Apr  1 13:50:13 2015  7 relations: 733852
  822. Wed Apr  1 13:50:13 2015  8 relations: 656647
  823. Wed Apr  1 13:50:13 2015  9 relations: 568627
  824. Wed Apr  1 13:50:13 2015  10+ relations: 2036668
  825. Wed Apr  1 13:50:13 2015  heaviest cycle: 23 relations
  826. Wed Apr  1 13:50:15 2015  commencing cycle optimization
  827. Wed Apr  1 13:50:29 2015  start with 57791022 relations
  828. Wed Apr  1 13:52:06 2015  pruned 2092213 relations
  829. Wed Apr  1 13:52:06 2015  memory use: 1688.0 MB
  830. Wed Apr  1 13:52:06 2015  distribution of cycle lengths:
  831. Wed Apr  1 13:52:06 2015  1 relations: 510488
  832. Wed Apr  1 13:52:06 2015  2 relations: 806460
  833. Wed Apr  1 13:52:06 2015  3 relations: 848432
  834. Wed Apr  1 13:52:06 2015  4 relations: 853296
  835. Wed Apr  1 13:52:06 2015  5 relations: 859612
  836. Wed Apr  1 13:52:06 2015  6 relations: 816395
  837. Wed Apr  1 13:52:06 2015  7 relations: 762396
  838. Wed Apr  1 13:52:06 2015  8 relations: 674504
  839. Wed Apr  1 13:52:06 2015  9 relations: 578191
  840. Wed Apr  1 13:52:06 2015  10+ relations: 1831788
  841. Wed Apr  1 13:52:06 2015  heaviest cycle: 23 relations
  842. Wed Apr  1 13:52:21 2015  RelProcTime: 9688
  843. Wed Apr  1 13:52:21 2015  
  844. Wed Apr  1 13:52:21 2015  commencing linear algebra
  845. Wed Apr  1 13:52:25 2015  read 8541562 cycles
  846. Wed Apr  1 13:52:39 2015  cycles contain 25779171 unique relations
  847. Wed Apr  1 14:08:00 2015  read 25779171 relations
  848. Wed Apr  1 14:08:46 2015  using 20 quadratic characters above 2147483054
  849. Wed Apr  1 14:10:28 2015  building initial matrix
  850. Wed Apr  1 14:14:51 2015  memory use: 3373.6 MB
  851. Wed Apr  1 14:14:55 2015  read 8541562 cycles
  852. Wed Apr  1 14:14:56 2015  matrix is 8541379 x 8541562 (3137.6 MB) with weight 926398259 (108.46/col)
  853. Wed Apr  1 14:14:56 2015  sparse part has weight 728552934 (85.30/col)
  854. Wed Apr  1 14:16:18 2015  filtering completed in 2 passes
  855. Wed Apr  1 14:16:20 2015  matrix is 8540409 x 8470718 (3134.6 MB) with weight 926361443 (109.36/col)
  856. Wed Apr  1 14:16:20 2015  sparse part has weight 728538150 (86.01/col)
  857. Wed Apr  1 14:17:13 2015  matrix starts at (0, 0)
  858. Wed Apr  1 14:17:14 2015  matrix is 8540409 x 8470718 (3134.6 MB) with weight 926361443 (109.36/col)
  859. Wed Apr  1 14:17:14 2015  sparse part has weight 728538150 (86.01/col)
  860. Wed Apr  1 14:17:14 2015  matrix needs more columns than rows; try adding 2-3% more relations
  861. Wed Apr  1 18:32:42 2015  
  862. Wed Apr  1 18:32:42 2015  
  863. Wed Apr  1 18:32:42 2015  Msieve v. 1.52 (SVN 959)
  864. Wed Apr  1 18:32:42 2015  random seeds: b968aae1 44596778
  865. Wed Apr  1 18:32:42 2015  factoring 125305027481148022936660008903425220446358576141739238188948376176754387441689636024807565480766825599123227769404579241793172517131370320204888023599079894194253052327153457659861093539751557175825146711476881441283801940375187509901 (234 digits)
  866. Wed Apr  1 18:32:43 2015  no P-1/P+1/ECM available, skipping
  867. Wed Apr  1 18:32:43 2015  commencing number field sieve (234-digit input)
  868. Wed Apr  1 18:32:43 2015  R0: -707378705613676210036263863218040145649
  869. Wed Apr  1 18:32:43 2015  R1: 1
  870. Wed Apr  1 18:32:43 2015  A0: -1
  871. Wed Apr  1 18:32:43 2015  A1: 0
  872. Wed Apr  1 18:32:43 2015  A2: 0
  873. Wed Apr  1 18:32:43 2015  A3: 0
  874. Wed Apr  1 18:32:43 2015  A4: 0
  875. Wed Apr  1 18:32:43 2015  A5: 0
  876. Wed Apr  1 18:32:43 2015  A6: 7673
  877. Wed Apr  1 18:32:43 2015  skew 1.00, size 9.493e-12, alpha -0.661, combined = 5.714e-13 rroots = 2
  878. Wed Apr  1 18:32:43 2015  
  879. Wed Apr  1 18:32:43 2015  commencing relation filtering
  880. Wed Apr  1 18:32:43 2015  estimated available RAM is 16009.0 MB
  881. Wed Apr  1 18:32:43 2015  commencing duplicate removal, pass 1
  882. Wed Apr  1 18:32:43 2015  error -1 reading relation 0
  883. Wed Apr  1 18:33:00 2015  error -9 reading relation 1511537
  884. Wed Apr  1 18:34:12 2015  error -9 reading relation 7997743
  885. Wed Apr  1 18:34:28 2015  error -15 reading relation 9406524
  886. Wed Apr  1 18:37:38 2015  error -9 reading relation 23288624
  887. Wed Apr  1 18:39:03 2015  error -11 reading relation 27752981
  888. Wed Apr  1 18:41:52 2015  error -5 reading relation 42694304
  889. Wed Apr  1 18:42:06 2015  error -9 reading relation 43917359
  890. Wed Apr  1 18:42:09 2015  error -5 reading relation 44211546
  891. Wed Apr  1 18:45:18 2015  error -15 reading relation 61003030
  892. Wed Apr  1 18:47:28 2015  error -1 reading relation 72807541
  893. Wed Apr  1 18:47:41 2015  error -9 reading relation 73972774
  894. Wed Apr  1 18:47:55 2015  error -9 reading relation 75327474
  895. Wed Apr  1 18:49:37 2015  error -15 reading relation 84923336
  896. Wed Apr  1 18:50:43 2015  error -9 reading relation 90794769
  897. Wed Apr  1 18:51:15 2015  error -9 reading relation 93848646
  898. Wed Apr  1 18:51:19 2015  error -1 reading relation 94189201
  899. Wed Apr  1 18:51:36 2015  error -9 reading relation 95840722
  900. Wed Apr  1 18:52:23 2015  error -11 reading relation 100480330
  901. Wed Apr  1 18:54:10 2015  error -9 reading relation 110871507
  902. Wed Apr  1 18:54:21 2015  error -15 reading relation 111944028
  903. Wed Apr  1 18:54:51 2015  error -15 reading relation 114955994
  904. Wed Apr  1 18:59:38 2015  error -9 reading relation 142606488
  905. Wed Apr  1 19:00:12 2015  error -1 reading relation 145844064
  906. Wed Apr  1 19:04:15 2015  error -15 reading relation 169639132
  907. Wed Apr  1 19:06:16 2015  error -15 reading relation 181518363
  908. Wed Apr  1 19:07:23 2015  error -15 reading relation 188205753
  909. Wed Apr  1 19:08:13 2015  skipped 441 relations with b > 2^32
  910. Wed Apr  1 19:08:13 2015  found 8182868 hash collisions in 193123323 relations
  911. Wed Apr  1 19:08:26 2015  commencing duplicate removal, pass 2
  912. Wed Apr  1 19:18:13 2015  found 1 duplicates and 193123322 unique relations
  913. Wed Apr  1 19:18:13 2015  memory use: 522.4 MB
  914. Wed Apr  1 19:18:13 2015  reading ideals above 115015680
  915. Wed Apr  1 19:18:13 2015  commencing singleton removal, initial pass
  916. Wed Apr  1 19:54:07 2015  memory use: 3012.0 MB
  917. Wed Apr  1 19:54:07 2015  reading all ideals from disk
  918. Wed Apr  1 19:54:39 2015  memory use: 3370.2 MB
  919. Wed Apr  1 19:54:46 2015  keeping 160282648 ideals with weight <= 200, target excess is 13361289
  920. Wed Apr  1 19:54:54 2015  commencing in-memory singleton removal
  921. Wed Apr  1 19:55:01 2015  begin with 193123322 relations and 160282648 unique ideals
  922. Wed Apr  1 19:56:18 2015  reduce to 124227197 relations and 84167332 ideals in 14 passes
  923. Wed Apr  1 19:56:18 2015  max relations containing the same ideal: 126
  924. Wed Apr  1 19:56:24 2015  reading ideals above 720000
  925. Wed Apr  1 19:56:24 2015  commencing singleton removal, initial pass
  926. Wed Apr  1 20:26:52 2015  memory use: 2756.0 MB
  927. Wed Apr  1 20:26:52 2015  reading all ideals from disk
  928. Wed Apr  1 20:27:45 2015  memory use: 4783.7 MB
  929. Wed Apr  1 20:28:00 2015  keeping 96739590 ideals with weight <= 200, target excess is 616877
  930. Wed Apr  1 20:28:15 2015  commencing in-memory singleton removal
  931. Wed Apr  1 20:28:27 2015  begin with 124227198 relations and 96739590 unique ideals
  932. Wed Apr  1 20:30:13 2015  reduce to 124166039 relations and 96660672 ideals in 9 passes
  933. Wed Apr  1 20:30:13 2015  max relations containing the same ideal: 200
  934. Wed Apr  1 20:31:10 2015  removing 10545731 relations and 8545731 ideals in 2000000 cliques
  935. Wed Apr  1 20:31:14 2015  commencing in-memory singleton removal
  936. Wed Apr  1 20:31:25 2015  begin with 113620308 relations and 96660672 unique ideals
  937. Wed Apr  1 20:32:52 2015  reduce to 112965364 relations and 87446842 ideals in 8 passes
  938. Wed Apr  1 20:32:52 2015  max relations containing the same ideal: 196
  939. Wed Apr  1 20:33:44 2015  removing 7990556 relations and 5990556 ideals in 2000000 cliques
  940. Wed Apr  1 20:33:48 2015  commencing in-memory singleton removal
  941. Wed Apr  1 20:33:58 2015  begin with 104974808 relations and 87446842 unique ideals
  942. Wed Apr  1 20:35:06 2015  reduce to 104537103 relations and 81010632 ideals in 7 passes
  943. Wed Apr  1 20:35:06 2015  max relations containing the same ideal: 189
  944. Wed Apr  1 20:35:55 2015  removing 7242032 relations and 5242032 ideals in 2000000 cliques
  945. Wed Apr  1 20:35:58 2015  commencing in-memory singleton removal
  946. Wed Apr  1 20:36:07 2015  begin with 97295071 relations and 81010632 unique ideals
  947. Wed Apr  1 20:37:09 2015  reduce to 96910023 relations and 75376704 ideals in 7 passes
  948. Wed Apr  1 20:37:09 2015  max relations containing the same ideal: 179
  949. Wed Apr  1 20:37:54 2015  removing 6864138 relations and 4864138 ideals in 2000000 cliques
  950. Wed Apr  1 20:37:57 2015  commencing in-memory singleton removal
  951. Wed Apr  1 20:38:05 2015  begin with 90045885 relations and 75376704 unique ideals
  952. Wed Apr  1 20:39:02 2015  reduce to 89685194 relations and 70145049 ideals in 7 passes
  953. Wed Apr  1 20:39:02 2015  max relations containing the same ideal: 174
  954. Wed Apr  1 20:39:43 2015  removing 6622101 relations and 4622101 ideals in 2000000 cliques
  955. Wed Apr  1 20:39:45 2015  commencing in-memory singleton removal
  956. Wed Apr  1 20:39:53 2015  begin with 83063093 relations and 70145049 unique ideals
  957. Wed Apr  1 20:40:39 2015  reduce to 82711590 relations and 65164382 ideals in 6 passes
  958. Wed Apr  1 20:40:39 2015  max relations containing the same ideal: 163
  959. Wed Apr  1 20:41:18 2015  removing 6459914 relations and 4459914 ideals in 2000000 cliques
  960. Wed Apr  1 20:41:20 2015  commencing in-memory singleton removal
  961. Wed Apr  1 20:41:27 2015  begin with 76251676 relations and 65164382 unique ideals
  962. Wed Apr  1 20:42:16 2015  reduce to 75899463 relations and 60344686 ideals in 7 passes
  963. Wed Apr  1 20:42:16 2015  max relations containing the same ideal: 152
  964. Wed Apr  1 20:42:51 2015  removing 6342227 relations and 4342227 ideals in 2000000 cliques
  965. Wed Apr  1 20:42:54 2015  commencing in-memory singleton removal
  966. Wed Apr  1 20:43:00 2015  begin with 69557236 relations and 60344686 unique ideals
  967. Wed Apr  1 20:43:49 2015  reduce to 69198663 relations and 55635618 ideals in 8 passes
  968. Wed Apr  1 20:43:49 2015  max relations containing the same ideal: 144
  969. Wed Apr  1 20:44:22 2015  removing 6257867 relations and 4257867 ideals in 2000000 cliques
  970. Wed Apr  1 20:44:24 2015  commencing in-memory singleton removal
  971. Wed Apr  1 20:44:30 2015  begin with 62940796 relations and 55635618 unique ideals
  972. Wed Apr  1 20:45:04 2015  reduce to 62565745 relations and 50993149 ideals in 6 passes
  973. Wed Apr  1 20:45:04 2015  max relations containing the same ideal: 136
  974. Wed Apr  1 20:45:33 2015  removing 6198561 relations and 4198561 ideals in 2000000 cliques
  975. Wed Apr  1 20:45:35 2015  commencing in-memory singleton removal
  976. Wed Apr  1 20:45:40 2015  begin with 56367184 relations and 50993149 unique ideals
  977. Wed Apr  1 20:46:09 2015  reduce to 55968998 relations and 46385241 ideals in 6 passes
  978. Wed Apr  1 20:46:09 2015  max relations containing the same ideal: 126
  979. Wed Apr  1 20:46:35 2015  removing 6157248 relations and 4157248 ideals in 2000000 cliques
  980. Wed Apr  1 20:46:37 2015  commencing in-memory singleton removal
  981. Wed Apr  1 20:46:42 2015  begin with 49811750 relations and 46385241 unique ideals
  982. Wed Apr  1 20:47:11 2015  reduce to 49382790 relations and 41785850 ideals in 7 passes
  983. Wed Apr  1 20:47:11 2015  max relations containing the same ideal: 118
  984. Wed Apr  1 20:47:34 2015  removing 6129645 relations and 4129645 ideals in 2000000 cliques
  985. Wed Apr  1 20:47:36 2015  commencing in-memory singleton removal
  986. Wed Apr  1 20:47:40 2015  begin with 43253145 relations and 41785850 unique ideals
  987. Wed Apr  1 20:48:09 2015  reduce to 42779057 relations and 37165922 ideals in 8 passes
  988. Wed Apr  1 20:48:09 2015  max relations containing the same ideal: 106
  989. Wed Apr  1 20:48:29 2015  removing 6111756 relations and 4111756 ideals in 2000000 cliques
  990. Wed Apr  1 20:48:30 2015  commencing in-memory singleton removal
  991. Wed Apr  1 20:48:34 2015  begin with 36667301 relations and 37165922 unique ideals
  992. Wed Apr  1 20:48:58 2015  reduce to 36129318 relations and 32494816 ideals in 8 passes
  993. Wed Apr  1 20:48:58 2015  max relations containing the same ideal: 93
  994. Wed Apr  1 20:49:14 2015  removing 6110979 relations and 4110979 ideals in 2000000 cliques
  995. Wed Apr  1 20:49:16 2015  commencing in-memory singleton removal
  996. Wed Apr  1 20:49:19 2015  begin with 30018339 relations and 32494816 unique ideals
  997. Wed Apr  1 20:49:38 2015  reduce to 29381560 relations and 27717295 ideals in 8 passes
  998. Wed Apr  1 20:49:38 2015  max relations containing the same ideal: 82
  999. Wed Apr  1 20:49:51 2015  removing 3333358 relations and 2384671 ideals in 948687 cliques
  1000. Wed Apr  1 20:49:53 2015  commencing in-memory singleton removal
  1001. Wed Apr  1 20:49:55 2015  begin with 26048202 relations and 27717295 unique ideals
  1002. Wed Apr  1 20:50:11 2015  reduce to 25789012 relations and 25065937 ideals in 8 passes
  1003. Wed Apr  1 20:50:11 2015  max relations containing the same ideal: 75
  1004. Wed Apr  1 20:50:27 2015  relations with 0 large ideals: 23262
  1005. Wed Apr  1 20:50:27 2015  relations with 1 large ideals: 10679
  1006. Wed Apr  1 20:50:27 2015  relations with 2 large ideals: 136170
  1007. Wed Apr  1 20:50:27 2015  relations with 3 large ideals: 857259
  1008. Wed Apr  1 20:50:27 2015  relations with 4 large ideals: 2882879
  1009. Wed Apr  1 20:50:27 2015  relations with 5 large ideals: 5704044
  1010. Wed Apr  1 20:50:27 2015  relations with 6 large ideals: 6976950
  1011. Wed Apr  1 20:50:27 2015  relations with 7+ large ideals: 9197769
  1012. Wed Apr  1 20:50:27 2015  commencing 2-way merge
  1013. Wed Apr  1 20:50:42 2015  reduce to 17086854 relation sets and 16363779 unique ideals
  1014. Wed Apr  1 20:50:42 2015  commencing full merge
  1015. Wed Apr  1 20:54:27 2015  memory use: 2041.0 MB
  1016. Wed Apr  1 20:54:28 2015  found 9329265 cycles, need 9223979
  1017. Wed Apr  1 20:54:31 2015  weight of 9223979 cycles is about 645918936 (70.03/cycle)
  1018. Wed Apr  1 20:54:31 2015  distribution of cycle lengths:
  1019. Wed Apr  1 20:54:31 2015  1 relations: 919778
  1020. Wed Apr  1 20:54:31 2015  2 relations: 1100233
  1021. Wed Apr  1 20:54:31 2015  3 relations: 1162274
  1022. Wed Apr  1 20:54:31 2015  4 relations: 1126369
  1023. Wed Apr  1 20:54:31 2015  5 relations: 1071680
  1024. Wed Apr  1 20:54:31 2015  6 relations: 945852
  1025. Wed Apr  1 20:54:31 2015  7 relations: 797985
  1026. Wed Apr  1 20:54:31 2015  8 relations: 633801
  1027. Wed Apr  1 20:54:31 2015  9 relations: 479757
  1028. Wed Apr  1 20:54:31 2015  10+ relations: 986250
  1029. Wed Apr  1 20:54:31 2015  heaviest cycle: 18 relations
  1030. Wed Apr  1 20:54:34 2015  commencing cycle optimization
  1031. Wed Apr  1 20:54:45 2015  start with 48418931 relations
  1032. Wed Apr  1 20:55:41 2015  pruned 1338414 relations
  1033. Wed Apr  1 20:55:41 2015  memory use: 1569.7 MB
  1034. Wed Apr  1 20:55:41 2015  distribution of cycle lengths:
  1035. Wed Apr  1 20:55:41 2015  1 relations: 919778
  1036. Wed Apr  1 20:55:41 2015  2 relations: 1122922
  1037. Wed Apr  1 20:55:41 2015  3 relations: 1205207
  1038. Wed Apr  1 20:55:41 2015  4 relations: 1161614
  1039. Wed Apr  1 20:55:41 2015  5 relations: 1108301
  1040. Wed Apr  1 20:55:41 2015  6 relations: 968493
  1041. Wed Apr  1 20:55:41 2015  7 relations: 809722
  1042. Wed Apr  1 20:55:41 2015  8 relations: 628494
  1043. Wed Apr  1 20:55:41 2015  9 relations: 463328
  1044. Wed Apr  1 20:55:41 2015  10+ relations: 836120
  1045. Wed Apr  1 20:55:41 2015  heaviest cycle: 18 relations
  1046. Wed Apr  1 20:55:53 2015  RelProcTime: 8590
  1047. Wed Apr  1 20:55:53 2015  
  1048. Wed Apr  1 20:55:53 2015  commencing linear algebra
  1049. Wed Apr  1 20:55:57 2015  read 9223979 cycles
  1050. Wed Apr  1 20:56:09 2015  cycles contain 25371285 unique relations
  1051. Wed Apr  1 21:08:27 2015  read 25371285 relations
  1052. Wed Apr  1 21:09:03 2015  using 20 quadratic characters above 2147483054
  1053. Wed Apr  1 21:10:40 2015  building initial matrix
  1054. Wed Apr  1 21:14:10 2015  memory use: 3320.1 MB
  1055. Wed Apr  1 21:14:13 2015  read 9223979 cycles
  1056. Wed Apr  1 21:14:15 2015  matrix is 9223798 x 9223979 (2761.5 MB) with weight 822682000 (89.19/col)
  1057. Wed Apr  1 21:14:15 2015  sparse part has weight 622457789 (67.48/col)
  1058. Wed Apr  1 21:15:38 2015  filtering completed in 2 passes
  1059. Wed Apr  1 21:15:40 2015  matrix is 9222069 x 9222249 (2761.4 MB) with weight 822631096 (89.20/col)
  1060. Wed Apr  1 21:15:40 2015  sparse part has weight 622442046 (67.49/col)
  1061. Wed Apr  1 21:16:35 2015  matrix starts at (0, 0)
  1062. Wed Apr  1 21:16:36 2015  matrix is 9222069 x 9222249 (2761.4 MB) with weight 822631096 (89.20/col)
  1063. Wed Apr  1 21:16:36 2015  sparse part has weight 622442046 (67.49/col)
  1064. Wed Apr  1 21:16:36 2015  saving the first 48 matrix rows for later
  1065. Wed Apr  1 21:16:37 2015  matrix includes 64 packed rows
  1066. Wed Apr  1 21:16:38 2015  matrix is 9222021 x 9222249 (2646.3 MB) with weight 655560260 (71.08/col)
  1067. Wed Apr  1 21:16:38 2015  sparse part has weight 601476806 (65.22/col)
  1068. Wed Apr  1 21:16:38 2015  using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  1069. Wed Apr  1 21:17:05 2015  commencing Lanczos iteration (4 threads)
  1070. Wed Apr  1 21:17:05 2015  memory use: 2183.0 MB
  1071. Wed Apr  1 21:17:37 2015  linear algebra at 0.0%, ETA 52h18m
  1072. Wed Apr  1 21:17:47 2015  checkpointing every 180000 dimensions
  1073. Sat Apr  4 06:13:08 2015  lanczos halted after 145841 iterations (dim = 9222019)
  1074. Sat Apr  4 06:13:18 2015  recovered 32 nontrivial dependencies
  1075. Sat Apr  4 06:13:18 2015  BLanczosTime: 206245
  1076. Sat Apr  4 06:13:18 2015  
  1077. Sat Apr  4 06:13:18 2015  commencing square root phase
  1078. Sat Apr  4 06:13:18 2015  reading relations for dependency 1
  1079. Sat Apr  4 06:13:20 2015  read 4611941 cycles
  1080. Sat Apr  4 06:13:26 2015  cycles contain 12685410 unique relations
  1081. Sat Apr  4 06:31:17 2015  read 12685410 relations
  1082. Sat Apr  4 06:32:16 2015  multiplying 12685410 relations
  1083. Sat Apr  4 06:45:11 2015  multiply complete, coefficients have about 464.13 million bits
  1084. Sat Apr  4 06:45:13 2015  initial square root is modulo 212837311
  1085. Sat Apr  4 06:59:27 2015  sqrtTime: 2769
  1086. Sat Apr  4 06:59:27 2015  prp86 factor: 97002246057244259305611524935407652532308525199683247887179220039631055345244065377177
  1087. Sat Apr  4 06:59:27 2015  prp148 factor: 1291774495687464275220506207451548570721572792136087277784473954869924964996556581122125496720183538694247168233458400045266807839366820829407745813
  1088. Sat Apr  4 06:59:27 2015  elapsed time 60:26:45
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Ledger Nano X - The secure hardware wallet
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