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C233_128_67

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Mar 14th, 2016
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  1. Mon Mar 7 20:54:47 2016
  2. Mon Mar 7 20:54:47 2016
  3. Mon Mar 7 20:54:47 2016 Msieve v. 1.53 (SVN 991)
  4. Mon Mar 7 20:54:47 2016 random seeds: 6d88fbc1 2f8fa627
  5. Mon Mar 7 20:54:47 2016 factoring 60720066184563362359883976243190992736808311791710741307697372969902743208910291514680996557615491827904756930957522739840722729017876784896443215181465973577904450012974109307435799798060518544208317312315477481561628862392725084217 (233 digits)
  6. Mon Mar 7 20:54:49 2016 no P-1/P+1/ECM available, skipping
  7. Mon Mar 7 20:54:49 2016 commencing number field sieve (233-digit input)
  8. Mon Mar 7 20:54:49 2016 R0: -302231454903657293676544
  9. Mon Mar 7 20:54:49 2016 R1: 222623423334106740048017938136372833267
  10. Mon Mar 7 20:54:49 2016 A0: 4489
  11. Mon Mar 7 20:54:49 2016 A1: 0
  12. Mon Mar 7 20:54:49 2016 A2: 0
  13. Mon Mar 7 20:54:49 2016 A3: 0
  14. Mon Mar 7 20:54:49 2016 A4: 0
  15. Mon Mar 7 20:54:49 2016 A5: 0
  16. Mon Mar 7 20:54:49 2016 A6: 2
  17. Mon Mar 7 20:54:49 2016 skew 1.00, size 8.566e-12, alpha 0.524, combined = 5.584e-13 rroots = 0
  18. Mon Mar 7 20:54:49 2016
  19. Mon Mar 7 20:54:49 2016 commencing relation filtering
  20. Mon Mar 7 20:54:49 2016 setting target matrix density to 110.0
  21. Mon Mar 7 20:54:49 2016 estimated available RAM is 16010.6 MB
  22. Mon Mar 7 20:54:49 2016 commencing duplicate removal, pass 1
  23. Mon Mar 7 21:05:31 2016 error -11 reading relation 66789378
  24. Mon Mar 7 21:05:31 2016 error -15 reading relation 66789766
  25. Mon Mar 7 21:05:31 2016 error -11 reading relation 66789961
  26. Mon Mar 7 21:05:31 2016 error -11 reading relation 66790192
  27. Mon Mar 7 21:05:31 2016 error -11 reading relation 66792621
  28. Mon Mar 7 21:05:31 2016 error -11 reading relation 66792682
  29. Mon Mar 7 21:05:31 2016 error -11 reading relation 66792851
  30. Mon Mar 7 21:05:31 2016 error -11 reading relation 66792878
  31. Mon Mar 7 21:05:31 2016 error -15 reading relation 66793114
  32. Mon Mar 7 21:05:32 2016 error -15 reading relation 66793514
  33. Mon Mar 7 21:05:32 2016 error -11 reading relation 66794169
  34. Mon Mar 7 21:05:32 2016 error -15 reading relation 66794457
  35. Mon Mar 7 21:05:32 2016 error -11 reading relation 66794661
  36. Mon Mar 7 21:05:32 2016 error -11 reading relation 66794955
  37. Mon Mar 7 21:05:32 2016 error -11 reading relation 66795245
  38. Mon Mar 7 21:05:32 2016 error -11 reading relation 66795383
  39. Mon Mar 7 21:05:32 2016 error -15 reading relation 66795463
  40. Mon Mar 7 21:05:32 2016 error -11 reading relation 66795515
  41. Mon Mar 7 21:05:32 2016 error -11 reading relation 66795560
  42. Mon Mar 7 21:05:32 2016 error -11 reading relation 66796063
  43. Mon Mar 7 21:05:32 2016 error -15 reading relation 66796240
  44. Mon Mar 7 21:05:32 2016 error -1 reading relation 66796653
  45. Mon Mar 7 21:05:32 2016 error -15 reading relation 66796796
  46. Mon Mar 7 21:05:32 2016 error -9 reading relation 66797216
  47. Mon Mar 7 21:05:32 2016 error -15 reading relation 66797880
  48. Mon Mar 7 21:05:32 2016 error -15 reading relation 66798138
  49. Mon Mar 7 21:05:32 2016 error -15 reading relation 66798166
  50. Mon Mar 7 21:05:32 2016 error -15 reading relation 66798226
  51. Mon Mar 7 21:05:32 2016 error -15 reading relation 66798280
  52. Mon Mar 7 21:05:32 2016 error -1 reading relation 66798342
  53. Mon Mar 7 21:05:32 2016 error -15 reading relation 66798575
  54. Mon Mar 7 21:05:32 2016 error -15 reading relation 66798909
  55. Mon Mar 7 21:05:32 2016 error -15 reading relation 66799261
  56. Mon Mar 7 21:05:32 2016 error -15 reading relation 66799287
  57. Mon Mar 7 21:05:32 2016 error -11 reading relation 66799419
  58. Mon Mar 7 21:05:32 2016 error -1 reading relation 66799918
  59. Mon Mar 7 21:05:32 2016 error -11 reading relation 66800023
  60. Mon Mar 7 21:05:32 2016 error -11 reading relation 66800050
  61. Mon Mar 7 21:05:32 2016 error -15 reading relation 66800320
  62. Mon Mar 7 21:05:32 2016 error -11 reading relation 66800395
  63. Mon Mar 7 21:05:32 2016 error -11 reading relation 66800433
  64. Mon Mar 7 21:05:32 2016 error -9 reading relation 66800670
  65. Mon Mar 7 21:05:32 2016 error -15 reading relation 66800726
  66. Mon Mar 7 21:05:32 2016 error -1 reading relation 66801296
  67. Mon Mar 7 21:05:32 2016 error -11 reading relation 66801355
  68. Mon Mar 7 21:05:32 2016 error -1 reading relation 66801385
  69. Mon Mar 7 21:05:32 2016 error -11 reading relation 66801721
  70. Mon Mar 7 21:05:32 2016 error -1 reading relation 66801902
  71. Mon Mar 7 21:05:32 2016 error -11 reading relation 66802370
  72. Mon Mar 7 21:05:32 2016 error -1 reading relation 66802408
  73. Mon Mar 7 21:05:32 2016 error -11 reading relation 66802495
  74. Mon Mar 7 21:05:32 2016 error -11 reading relation 66802777
  75. Mon Mar 7 21:05:32 2016 error -11 reading relation 66802984
  76. Mon Mar 7 21:05:32 2016 error -11 reading relation 66803016
  77. Mon Mar 7 21:05:32 2016 error -11 reading relation 66803298
  78. Mon Mar 7 21:05:32 2016 error -15 reading relation 66803472
  79. Mon Mar 7 21:05:32 2016 error -1 reading relation 66804119
  80. Mon Mar 7 21:06:25 2016 error -1 reading relation 72359835
  81. Mon Mar 7 21:09:00 2016 skipped 3 relations with b > 2^32
  82. Mon Mar 7 21:09:00 2016 skipped 43 relations with composite factors
  83. Mon Mar 7 21:09:00 2016 found 3462209 hash collisions in 88569852 relations
  84. Mon Mar 7 21:09:20 2016 added 1219071 free relations
  85. Mon Mar 7 21:09:20 2016 commencing duplicate removal, pass 2
  86. Mon Mar 7 21:09:45 2016 found 0 duplicates and 89788923 unique relations
  87. Mon Mar 7 21:09:45 2016 memory use: 261.2 MB
  88. Mon Mar 7 21:09:45 2016 reading ideals above 67043328
  89. Mon Mar 7 21:09:45 2016 commencing singleton removal, initial pass
  90. Mon Mar 7 21:20:12 2016 memory use: 1506.0 MB
  91. Mon Mar 7 21:20:12 2016 reading all ideals from disk
  92. Mon Mar 7 21:20:12 2016 memory use: 1730.1 MB
  93. Mon Mar 7 21:20:18 2016 commencing in-memory singleton removal
  94. Mon Mar 7 21:20:23 2016 begin with 89788923 relations and 81244226 unique ideals
  95. Mon Mar 7 21:21:14 2016 reduce to 52067604 relations and 39042164 ideals in 15 passes
  96. Mon Mar 7 21:21:14 2016 max relations containing the same ideal: 32
  97. Mon Mar 7 21:21:18 2016 reading ideals above 720000
  98. Mon Mar 7 21:21:18 2016 commencing singleton removal, initial pass
  99. Mon Mar 7 21:29:51 2016 memory use: 1378.0 MB
  100. Mon Mar 7 21:29:51 2016 reading all ideals from disk
  101. Mon Mar 7 21:29:52 2016 memory use: 1989.6 MB
  102. Mon Mar 7 21:29:59 2016 keeping 46673290 ideals with weight <= 200, target excess is 274251
  103. Mon Mar 7 21:30:06 2016 commencing in-memory singleton removal
  104. Mon Mar 7 21:30:12 2016 begin with 52067610 relations and 46673290 unique ideals
  105. Mon Mar 7 21:30:55 2016 reduce to 52067233 relations and 46672900 ideals in 6 passes
  106. Mon Mar 7 21:30:55 2016 max relations containing the same ideal: 200
  107. Mon Mar 7 21:31:34 2016 removing 6057273 relations and 5057273 ideals in 1000000 cliques
  108. Mon Mar 7 21:31:36 2016 commencing in-memory singleton removal
  109. Mon Mar 7 21:31:42 2016 begin with 46009960 relations and 46672900 unique ideals
  110. Mon Mar 7 21:32:33 2016 reduce to 45453819 relations and 41045583 ideals in 9 passes
  111. Mon Mar 7 21:32:33 2016 max relations containing the same ideal: 191
  112. Mon Mar 7 21:33:05 2016 removing 4645985 relations and 3645985 ideals in 1000000 cliques
  113. Mon Mar 7 21:33:07 2016 commencing in-memory singleton removal
  114. Mon Mar 7 21:33:13 2016 begin with 40807834 relations and 41045583 unique ideals
  115. Mon Mar 7 21:33:52 2016 reduce to 40445858 relations and 37029485 ideals in 8 passes
  116. Mon Mar 7 21:33:52 2016 max relations containing the same ideal: 178
  117. Mon Mar 7 21:34:19 2016 removing 4196701 relations and 3196701 ideals in 1000000 cliques
  118. Mon Mar 7 21:34:21 2016 commencing in-memory singleton removal
  119. Mon Mar 7 21:34:26 2016 begin with 36249157 relations and 37029485 unique ideals
  120. Mon Mar 7 21:35:00 2016 reduce to 35928731 relations and 33504863 ideals in 8 passes
  121. Mon Mar 7 21:35:00 2016 max relations containing the same ideal: 165
  122. Mon Mar 7 21:35:25 2016 removing 3950041 relations and 2950041 ideals in 1000000 cliques
  123. Mon Mar 7 21:35:27 2016 commencing in-memory singleton removal
  124. Mon Mar 7 21:35:31 2016 begin with 31978690 relations and 33504863 unique ideals
  125. Mon Mar 7 21:36:03 2016 reduce to 31665772 relations and 30234092 ideals in 8 passes
  126. Mon Mar 7 21:36:03 2016 max relations containing the same ideal: 153
  127. Mon Mar 7 21:36:25 2016 removing 3800851 relations and 2800851 ideals in 1000000 cliques
  128. Mon Mar 7 21:36:26 2016 commencing in-memory singleton removal
  129. Mon Mar 7 21:36:30 2016 begin with 27864921 relations and 30234092 unique ideals
  130. Mon Mar 7 21:36:53 2016 reduce to 27540019 relations and 27099441 ideals in 7 passes
  131. Mon Mar 7 21:36:53 2016 max relations containing the same ideal: 143
  132. Mon Mar 7 21:37:13 2016 removing 676092 relations and 553646 ideals in 122446 cliques
  133. Mon Mar 7 21:37:14 2016 commencing in-memory singleton removal
  134. Mon Mar 7 21:37:17 2016 begin with 26863927 relations and 27099441 unique ideals
  135. Mon Mar 7 21:37:32 2016 reduce to 26853803 relations and 26535631 ideals in 5 passes
  136. Mon Mar 7 21:37:32 2016 max relations containing the same ideal: 140
  137. Mon Mar 7 21:37:41 2016 relations with 0 large ideals: 10178
  138. Mon Mar 7 21:37:41 2016 relations with 1 large ideals: 2160
  139. Mon Mar 7 21:37:41 2016 relations with 2 large ideals: 19772
  140. Mon Mar 7 21:37:41 2016 relations with 3 large ideals: 182952
  141. Mon Mar 7 21:37:41 2016 relations with 4 large ideals: 947351
  142. Mon Mar 7 21:37:41 2016 relations with 5 large ideals: 2947399
  143. Mon Mar 7 21:37:41 2016 relations with 6 large ideals: 5770023
  144. Mon Mar 7 21:37:41 2016 relations with 7+ large ideals: 16973968
  145. Mon Mar 7 21:37:41 2016 commencing 2-way merge
  146. Mon Mar 7 21:38:06 2016 reduce to 17914878 relation sets and 17596706 unique ideals
  147. Mon Mar 7 21:38:06 2016 commencing full merge
  148. Mon Mar 7 21:48:23 2016 memory use: 2338.9 MB
  149. Mon Mar 7 21:48:25 2016 found 8224229 cycles, need 8212906
  150. Mon Mar 7 21:48:28 2016 weight of 8212906 cycles is about 903604719 (110.02/cycle)
  151. Mon Mar 7 21:48:28 2016 distribution of cycle lengths:
  152. Mon Mar 7 21:48:28 2016 1 relations: 367037
  153. Mon Mar 7 21:48:28 2016 2 relations: 565020
  154. Mon Mar 7 21:48:28 2016 3 relations: 659868
  155. Mon Mar 7 21:48:28 2016 4 relations: 675209
  156. Mon Mar 7 21:48:28 2016 5 relations: 669394
  157. Mon Mar 7 21:48:28 2016 6 relations: 642274
  158. Mon Mar 7 21:48:28 2016 7 relations: 605691
  159. Mon Mar 7 21:48:28 2016 8 relations: 563257
  160. Mon Mar 7 21:48:28 2016 9 relations: 516983
  161. Mon Mar 7 21:48:28 2016 10+ relations: 2948173
  162. Mon Mar 7 21:48:28 2016 heaviest cycle: 28 relations
  163. Mon Mar 7 21:48:31 2016 commencing cycle optimization
  164. Mon Mar 7 21:48:48 2016 start with 68628433 relations
  165. Mon Mar 7 21:52:12 2016 pruned 2922305 relations
  166. Mon Mar 7 21:52:12 2016 memory use: 1832.8 MB
  167. Mon Mar 7 21:52:12 2016 distribution of cycle lengths:
  168. Mon Mar 7 21:52:12 2016 1 relations: 367037
  169. Mon Mar 7 21:52:12 2016 2 relations: 579466
  170. Mon Mar 7 21:52:12 2016 3 relations: 689362
  171. Mon Mar 7 21:52:12 2016 4 relations: 702988
  172. Mon Mar 7 21:52:12 2016 5 relations: 701576
  173. Mon Mar 7 21:52:12 2016 6 relations: 668572
  174. Mon Mar 7 21:52:12 2016 7 relations: 631560
  175. Mon Mar 7 21:52:12 2016 8 relations: 582515
  176. Mon Mar 7 21:52:12 2016 9 relations: 533102
  177. Mon Mar 7 21:52:12 2016 10+ relations: 2756728
  178. Mon Mar 7 21:52:12 2016 heaviest cycle: 28 relations
  179. Mon Mar 7 21:52:38 2016 RelProcTime: 3469
  180. Mon Mar 7 21:52:38 2016
  181. Mon Mar 7 21:52:38 2016 commencing linear algebra
  182. Mon Mar 7 21:52:39 2016 read 8212906 cycles
  183. Mon Mar 7 21:53:01 2016 cycles contain 26683908 unique relations
  184. Mon Mar 7 21:56:06 2016 read 26683908 relations
  185. Mon Mar 7 21:57:10 2016 using 20 quadratic characters above 4294917295
  186. Mon Mar 7 21:59:45 2016 building initial matrix
  187. Mon Mar 7 22:06:03 2016 memory use: 3395.5 MB
  188. Mon Mar 7 22:06:07 2016 read 8212906 cycles
  189. Mon Mar 7 22:06:08 2016 matrix is 8212729 x 8212906 (3580.2 MB) with weight 1036488345 (126.20/col)
  190. Mon Mar 7 22:06:08 2016 sparse part has weight 848176641 (103.27/col)
  191. Mon Mar 7 22:08:38 2016 filtering completed in 2 passes
  192. Mon Mar 7 22:08:39 2016 matrix is 8212665 x 8212842 (3580.2 MB) with weight 1036486319 (126.20/col)
  193. Mon Mar 7 22:08:39 2016 sparse part has weight 848176049 (103.27/col)
  194. Mon Mar 7 22:09:12 2016 matrix starts at (0, 0)
  195. Mon Mar 7 22:09:13 2016 matrix is 8212665 x 8212842 (3580.2 MB) with weight 1036486319 (126.20/col)
  196. Mon Mar 7 22:09:13 2016 sparse part has weight 848176049 (103.27/col)
  197. Mon Mar 7 22:09:13 2016 saving the first 48 matrix rows for later
  198. Mon Mar 7 22:09:14 2016 matrix includes 64 packed rows
  199. Mon Mar 7 22:09:15 2016 matrix is 8212617 x 8212842 (3433.7 MB) with weight 876150135 (106.68/col)
  200. Mon Mar 7 22:09:15 2016 sparse part has weight 818004498 (99.60/col)
  201. Mon Mar 7 22:09:16 2016 using block size 8192 and superblock size 294912 for processor cache size 3072 kB
  202. Mon Mar 7 22:09:55 2016 commencing Lanczos iteration (2 threads)
  203. Mon Mar 7 22:09:55 2016 memory use: 2908.0 MB
  204. Mon Mar 7 22:12:09 2016 linear algebra at 0.0%, ETA 197h13m
  205. Mon Mar 7 22:12:50 2016 checkpointing every 50000 dimensions
  206. Mon Mar 14 02:46:52 2016 lanczos halted after 129871 iterations (dim = 8212613)
  207. Mon Mar 14 02:47:09 2016 recovered 33 nontrivial dependencies
  208. Mon Mar 14 02:47:09 2016 BLanczosTime: 532471
  209. Mon Mar 14 02:47:09 2016
  210. Mon Mar 14 02:47:09 2016 commencing square root phase
  211. Mon Mar 14 02:47:09 2016 handling dependencies 1 to 64
  212. Mon Mar 14 02:47:09 2016 reading relations for dependency 1
  213. Mon Mar 14 02:47:10 2016 read 4103845 cycles
  214. Mon Mar 14 02:47:21 2016 cycles contain 13337518 unique relations
  215. Mon Mar 14 02:49:11 2016 read 13337518 relations
  216. Mon Mar 14 02:50:48 2016 multiplying 13337518 relations
  217. Mon Mar 14 03:06:36 2016 multiply complete, coefficients have about 355.93 million bits
  218. Mon Mar 14 03:06:37 2016 initial square root is modulo 2436061
  219. Mon Mar 14 03:23:33 2016 found factor: 153176713332615391300842647329243748455432989078571558857128949562511608889
  220. Mon Mar 14 03:23:33 2016 reading relations for dependency 2
  221. Mon Mar 14 03:23:34 2016 read 4108727 cycles
  222. Mon Mar 14 03:23:45 2016 cycles contain 13346394 unique relations
  223. Mon Mar 14 03:25:39 2016 read 13346394 relations
  224. Mon Mar 14 03:27:21 2016 multiplying 13346394 relations
  225. Mon Mar 14 03:43:46 2016 multiply complete, coefficients have about 356.16 million bits
  226. Mon Mar 14 03:43:47 2016 initial square root is modulo 2459029
  227. Mon Mar 14 04:01:02 2016 found factor: 153176713332615391300842647329243748455432989078571558857128949562511608889
  228. Mon Mar 14 04:01:02 2016 reading relations for dependency 3
  229. Mon Mar 14 04:01:03 2016 read 4106598 cycles
  230. Mon Mar 14 04:01:13 2016 cycles contain 13341424 unique relations
  231. Mon Mar 14 04:03:09 2016 read 13341424 relations
  232. Mon Mar 14 04:04:45 2016 multiplying 13341424 relations
  233. Mon Mar 14 04:20:24 2016 multiply complete, coefficients have about 356.04 million bits
  234. Mon Mar 14 04:20:26 2016 initial square root is modulo 2446333
  235. Mon Mar 14 04:37:23 2016 sqrtTime: 6614
  236. Mon Mar 14 04:37:23 2016 p59 factor: 42011736291751946863027162166638524339005202697933984895459
  237. Mon Mar 14 04:37:23 2016 p75 factor: 153176713332615391300842647329243748455432989078571558857128949562511608889
  238. Mon Mar 14 04:37:23 2016 p100 factor: 9435585596449866249134587233162063184366706239238395466335800793355228695561269943640759898225745867
  239. Mon Mar 14 04:37:23 2016 elapsed time 150:42:36
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