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Aug 31st, 2016
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  1. Wed Aug 24 01:57:54 2016 Msieve v. 1.52 (SVN exported)
  2. Wed Aug 24 01:57:54 2016 random seeds: f5931d74 2c2c0745
  3. Wed Aug 24 01:57:54 2016 factoring 73660183944135912045833461894149383189736292787006526453589183169580129738754271798473351208425168094962896585062731442237224909539746519684344931897653311020268062632440819853346474430067122229894216805473191222509185661801399 (227 digits)
  4. Wed Aug 24 01:57:57 2016 searching for 15-digit factors
  5. Wed Aug 24 01:57:59 2016 commencing number field sieve (227-digit input)
  6. Wed Aug 24 01:57:59 2016 R0: 10000000000000000000000000000000000000000
  7. Wed Aug 24 01:57:59 2016 R1: -147808829414345923316083210206383297601
  8. Wed Aug 24 01:57:59 2016 A0: -10
  9. Wed Aug 24 01:57:59 2016 A1: 0
  10. Wed Aug 24 01:57:59 2016 A2: 0
  11. Wed Aug 24 01:57:59 2016 A3: 0
  12. Wed Aug 24 01:57:59 2016 A4: 0
  13. Wed Aug 24 01:57:59 2016 A5: 0
  14. Wed Aug 24 01:57:59 2016 A6: 9
  15. Wed Aug 24 01:57:59 2016 skew 1.02, size 5.419e-12, alpha 1.630, combined = 4.096e-13 rroots = 2
  16. Wed Aug 24 01:57:59 2016
  17. Wed Aug 24 01:57:59 2016 commencing relation filtering
  18. Wed Aug 24 01:57:59 2016 setting target matrix density to 130.0
  19. Wed Aug 24 01:57:59 2016 estimated available RAM is 96647.7 MB
  20. Wed Aug 24 01:57:59 2016 commencing duplicate removal, pass 1
  21. Wed Aug 24 02:30:22 2016 error -9 reading relation 112440448
  22. Wed Aug 24 02:58:50 2016 error -9 reading relation 210887868
  23. Wed Aug 24 03:01:08 2016 error -9 reading relation 218723176
  24. Wed Aug 24 03:01:51 2016 error -9 reading relation 221275631
  25. Wed Aug 24 03:01:52 2016 error -9 reading relation 221346201
  26. Wed Aug 24 03:02:14 2016 error -5 reading relation 222625501
  27. Wed Aug 24 03:02:15 2016 error -9 reading relation 222635311
  28. Wed Aug 24 03:02:38 2016 error -9 reading relation 223998872
  29. Wed Aug 24 03:03:48 2016 error -5 reading relation 228093255
  30. Wed Aug 24 03:04:08 2016 error -9 reading relation 229254077
  31. Wed Aug 24 03:04:59 2016 error -9 reading relation 232323075
  32. Wed Aug 24 03:04:59 2016 error -9 reading relation 232323379
  33. Wed Aug 24 03:05:07 2016 error -9 reading relation 232794256
  34. Wed Aug 24 03:05:17 2016 error -5 reading relation 233376653
  35. Wed Aug 24 03:05:19 2016 error -9 reading relation 233484017
  36. Wed Aug 24 03:06:06 2016 error -9 reading relation 236274652
  37. Wed Aug 24 03:06:06 2016 error -9 reading relation 236288840
  38. Wed Aug 24 03:06:06 2016 error -9 reading relation 236301961
  39. Wed Aug 24 03:06:21 2016 error -5 reading relation 237181897
  40. Wed Aug 24 03:07:05 2016 error -9 reading relation 239717795
  41. Wed Aug 24 03:07:15 2016 error -9 reading relation 240350105
  42. Wed Aug 24 03:07:16 2016 error -5 reading relation 240411604
  43. Wed Aug 24 03:07:18 2016 error -9 reading relation 240537806
  44. Wed Aug 24 03:09:50 2016 skipped 72 relations with b > 2^32
  45. Wed Aug 24 03:09:50 2016 found 49404136 hash collisions in 249328947 relations
  46. Wed Aug 24 03:10:17 2016 added 1218074 free relations
  47. Wed Aug 24 03:10:17 2016 commencing duplicate removal, pass 2
  48. Wed Aug 24 03:47:50 2016 found 48231375 duplicates and 202315646 unique relations
  49. Wed Aug 24 03:47:50 2016 memory use: 1321.5 MB
  50. Wed Aug 24 03:47:50 2016 reading ideals above 720000
  51. Wed Aug 24 03:47:51 2016 commencing singleton removal, initial pass
  52. Wed Aug 24 05:08:17 2016 memory use: 5512.0 MB
  53. Wed Aug 24 05:08:18 2016 reading all ideals from disk
  54. Wed Aug 24 05:08:42 2016 memory use: 7899.4 MB
  55. Wed Aug 24 05:09:19 2016 keeping 176198382 ideals with weight <= 200, target excess is 1022597
  56. Wed Aug 24 05:09:57 2016 commencing in-memory singleton removal
  57. Wed Aug 24 05:10:25 2016 begin with 202315646 relations and 176198382 unique ideals
  58. Wed Aug 24 05:14:41 2016 reduce to 137132875 relations and 104819972 ideals in 13 passes
  59. Wed Aug 24 05:14:41 2016 max relations containing the same ideal: 165
  60. Wed Aug 24 05:16:16 2016 removing 10193621 relations and 8193621 ideals in 2000000 cliques
  61. Wed Aug 24 05:16:22 2016 commencing in-memory singleton removal
  62. Wed Aug 24 05:16:39 2016 begin with 126939254 relations and 104819972 unique ideals
  63. Wed Aug 24 05:19:32 2016 reduce to 126380560 relations and 96057268 ideals in 10 passes
  64. Wed Aug 24 05:19:32 2016 max relations containing the same ideal: 156
  65. Wed Aug 24 05:20:52 2016 removing 7763670 relations and 5763670 ideals in 2000000 cliques
  66. Wed Aug 24 05:20:57 2016 commencing in-memory singleton removal
  67. Wed Aug 24 05:21:12 2016 begin with 118616890 relations and 96057268 unique ideals
  68. Wed Aug 24 05:22:58 2016 reduce to 118242421 relations and 89913123 ideals in 7 passes
  69. Wed Aug 24 05:22:58 2016 max relations containing the same ideal: 147
  70. Wed Aug 24 05:24:17 2016 removing 7049471 relations and 5049471 ideals in 2000000 cliques
  71. Wed Aug 24 05:24:22 2016 commencing in-memory singleton removal
  72. Wed Aug 24 05:24:36 2016 begin with 111192950 relations and 89913123 unique ideals
  73. Wed Aug 24 05:26:29 2016 reduce to 110865492 relations and 84530933 ideals in 8 passes
  74. Wed Aug 24 05:26:29 2016 max relations containing the same ideal: 141
  75. Wed Aug 24 05:27:39 2016 removing 6680947 relations and 4680947 ideals in 2000000 cliques
  76. Wed Aug 24 05:27:44 2016 commencing in-memory singleton removal
  77. Wed Aug 24 05:27:57 2016 begin with 104184545 relations and 84530933 unique ideals
  78. Wed Aug 24 05:29:28 2016 reduce to 103882188 relations and 79542587 ideals in 7 passes
  79. Wed Aug 24 05:29:28 2016 max relations containing the same ideal: 136
  80. Wed Aug 24 05:30:34 2016 removing 6453229 relations and 4453229 ideals in 2000000 cliques
  81. Wed Aug 24 05:30:38 2016 commencing in-memory singleton removal
  82. Wed Aug 24 05:30:50 2016 begin with 97428959 relations and 79542587 unique ideals
  83. Wed Aug 24 05:32:02 2016 reduce to 97137935 relations and 74793230 ideals in 6 passes
  84. Wed Aug 24 05:32:02 2016 max relations containing the same ideal: 130
  85. Wed Aug 24 05:33:07 2016 removing 6292180 relations and 4292180 ideals in 2000000 cliques
  86. Wed Aug 24 05:33:11 2016 commencing in-memory singleton removal
  87. Wed Aug 24 05:33:22 2016 begin with 90845755 relations and 74793230 unique ideals
  88. Wed Aug 24 05:34:50 2016 reduce to 90557982 relations and 70208002 ideals in 8 passes
  89. Wed Aug 24 05:34:50 2016 max relations containing the same ideal: 122
  90. Wed Aug 24 05:35:51 2016 removing 6173259 relations and 4173259 ideals in 2000000 cliques
  91. Wed Aug 24 05:35:55 2016 commencing in-memory singleton removal
  92. Wed Aug 24 05:36:06 2016 begin with 84384723 relations and 70208002 unique ideals
  93. Wed Aug 24 05:37:11 2016 reduce to 84096918 relations and 65741268 ideals in 6 passes
  94. Wed Aug 24 05:37:11 2016 max relations containing the same ideal: 117
  95. Wed Aug 24 05:38:04 2016 removing 6089734 relations and 4089734 ideals in 2000000 cliques
  96. Wed Aug 24 05:38:08 2016 commencing in-memory singleton removal
  97. Wed Aug 24 05:38:17 2016 begin with 78007184 relations and 65741268 unique ideals
  98. Wed Aug 24 05:39:14 2016 reduce to 77714048 relations and 61352224 ideals in 6 passes
  99. Wed Aug 24 05:39:14 2016 max relations containing the same ideal: 112
  100. Wed Aug 24 05:40:05 2016 removing 6018541 relations and 4018541 ideals in 2000000 cliques
  101. Wed Aug 24 05:40:08 2016 commencing in-memory singleton removal
  102. Wed Aug 24 05:40:17 2016 begin with 71695507 relations and 61352224 unique ideals
  103. Wed Aug 24 05:41:08 2016 reduce to 71391787 relations and 57023110 ideals in 6 passes
  104. Wed Aug 24 05:41:08 2016 max relations containing the same ideal: 106
  105. Wed Aug 24 05:41:54 2016 removing 5971367 relations and 3971367 ideals in 2000000 cliques
  106. Wed Aug 24 05:41:58 2016 commencing in-memory singleton removal
  107. Wed Aug 24 05:42:05 2016 begin with 65420420 relations and 57023110 unique ideals
  108. Wed Aug 24 05:43:02 2016 reduce to 65103761 relations and 52727439 ideals in 7 passes
  109. Wed Aug 24 05:43:02 2016 max relations containing the same ideal: 98
  110. Wed Aug 24 05:43:44 2016 removing 5931599 relations and 3931599 ideals in 2000000 cliques
  111. Wed Aug 24 05:43:47 2016 commencing in-memory singleton removal
  112. Wed Aug 24 05:43:54 2016 begin with 59172162 relations and 52727439 unique ideals
  113. Wed Aug 24 05:44:43 2016 reduce to 58837613 relations and 48452498 ideals in 7 passes
  114. Wed Aug 24 05:44:43 2016 max relations containing the same ideal: 92
  115. Wed Aug 24 05:45:21 2016 removing 5905212 relations and 3905212 ideals in 2000000 cliques
  116. Wed Aug 24 05:45:24 2016 commencing in-memory singleton removal
  117. Wed Aug 24 05:45:30 2016 begin with 52932401 relations and 48452498 unique ideals
  118. Wed Aug 24 05:46:13 2016 reduce to 52573939 relations and 44178513 ideals in 7 passes
  119. Wed Aug 24 05:46:13 2016 max relations containing the same ideal: 87
  120. Wed Aug 24 05:46:50 2016 removing 5886276 relations and 3886276 ideals in 2000000 cliques
  121. Wed Aug 24 05:46:53 2016 commencing in-memory singleton removal
  122. Wed Aug 24 05:46:58 2016 begin with 46687663 relations and 44178513 unique ideals
  123. Wed Aug 24 05:47:36 2016 reduce to 46293856 relations and 39885960 ideals in 7 passes
  124. Wed Aug 24 05:47:36 2016 max relations containing the same ideal: 81
  125. Wed Aug 24 05:48:07 2016 removing 5879386 relations and 3879386 ideals in 2000000 cliques
  126. Wed Aug 24 05:48:11 2016 commencing in-memory singleton removal
  127. Wed Aug 24 05:48:16 2016 begin with 40414470 relations and 39885960 unique ideals
  128. Wed Aug 24 05:48:50 2016 reduce to 39967313 relations and 35543376 ideals in 7 passes
  129. Wed Aug 24 05:48:50 2016 max relations containing the same ideal: 75
  130. Wed Aug 24 05:49:17 2016 removing 5893515 relations and 3893515 ideals in 2000000 cliques
  131. Wed Aug 24 05:49:20 2016 commencing in-memory singleton removal
  132. Wed Aug 24 05:49:24 2016 begin with 34073798 relations and 35543376 unique ideals
  133. Wed Aug 24 05:49:49 2016 reduce to 33538977 relations and 31092683 ideals in 7 passes
  134. Wed Aug 24 05:49:49 2016 max relations containing the same ideal: 64
  135. Wed Aug 24 05:50:10 2016 removing 4044684 relations and 2784603 ideals in 1260081 cliques
  136. Wed Aug 24 05:50:13 2016 commencing in-memory singleton removal
  137. Wed Aug 24 05:50:16 2016 begin with 29494293 relations and 31092683 unique ideals
  138. Wed Aug 24 05:50:38 2016 reduce to 29153597 relations and 27955911 ideals in 7 passes
  139. Wed Aug 24 05:50:38 2016 max relations containing the same ideal: 60
  140. Wed Aug 24 05:50:55 2016 removing 73019 relations and 61546 ideals in 11473 cliques
  141. Wed Aug 24 05:50:57 2016 commencing in-memory singleton removal
  142. Wed Aug 24 05:51:00 2016 begin with 29080578 relations and 27955911 unique ideals
  143. Wed Aug 24 05:51:16 2016 reduce to 29080404 relations and 27894191 ideals in 5 passes
  144. Wed Aug 24 05:51:16 2016 max relations containing the same ideal: 60
  145. Wed Aug 24 05:51:25 2016 relations with 0 large ideals: 38793
  146. Wed Aug 24 05:51:25 2016 relations with 1 large ideals: 33225
  147. Wed Aug 24 05:51:25 2016 relations with 2 large ideals: 379056
  148. Wed Aug 24 05:51:25 2016 relations with 3 large ideals: 1891346
  149. Wed Aug 24 05:51:25 2016 relations with 4 large ideals: 4966541
  150. Wed Aug 24 05:51:25 2016 relations with 5 large ideals: 7660039
  151. Wed Aug 24 05:51:25 2016 relations with 6 large ideals: 7281014
  152. Wed Aug 24 05:51:25 2016 relations with 7+ large ideals: 6830390
  153. Wed Aug 24 05:51:25 2016 commencing 2-way merge
  154. Wed Aug 24 05:51:48 2016 reduce to 19632646 relation sets and 18446433 unique ideals
  155. Wed Aug 24 05:51:48 2016 commencing full merge
  156. Wed Aug 24 06:03:30 2016 memory use: 2357.4 MB
  157. Wed Aug 24 06:03:32 2016 found 8591621 cycles, need 8538633
  158. Wed Aug 24 06:03:37 2016 weight of 8538633 cycles is about 1110256393 (130.03/cycle)
  159. Wed Aug 24 06:03:37 2016 distribution of cycle lengths:
  160. Wed Aug 24 06:03:37 2016 1 relations: 236948
  161. Wed Aug 24 06:03:37 2016 2 relations: 393855
  162. Wed Aug 24 06:03:37 2016 3 relations: 505926
  163. Wed Aug 24 06:03:37 2016 4 relations: 551093
  164. Wed Aug 24 06:03:37 2016 5 relations: 593262
  165. Wed Aug 24 06:03:37 2016 6 relations: 606190
  166. Wed Aug 24 06:03:37 2016 7 relations: 610867
  167. Wed Aug 24 06:03:37 2016 8 relations: 598627
  168. Wed Aug 24 06:03:37 2016 9 relations: 571824
  169. Wed Aug 24 06:03:37 2016 10+ relations: 3870041
  170. Wed Aug 24 06:03:37 2016 heaviest cycle: 28 relations
  171. Wed Aug 24 06:03:40 2016 commencing cycle optimization
  172. Wed Aug 24 06:04:07 2016 start with 82366706 relations
  173. Wed Aug 24 06:10:00 2016 pruned 4453045 relations
  174. Wed Aug 24 06:10:00 2016 memory use: 2048.6 MB
  175. Wed Aug 24 06:10:00 2016 distribution of cycle lengths:
  176. Wed Aug 24 06:10:00 2016 1 relations: 236948
  177. Wed Aug 24 06:10:00 2016 2 relations: 404746
  178. Wed Aug 24 06:10:00 2016 3 relations: 529121
  179. Wed Aug 24 06:10:00 2016 4 relations: 578047
  180. Wed Aug 24 06:10:00 2016 5 relations: 628737
  181. Wed Aug 24 06:10:00 2016 6 relations: 643502
  182. Wed Aug 24 06:10:00 2016 7 relations: 651860
  183. Wed Aug 24 06:10:00 2016 8 relations: 637596
  184. Wed Aug 24 06:10:00 2016 9 relations: 608729
  185. Wed Aug 24 06:10:00 2016 10+ relations: 3619347
  186. Wed Aug 24 06:10:00 2016 heaviest cycle: 28 relations
  187. Wed Aug 24 06:10:23 2016 RelProcTime: 15144
  188. Wed Aug 24 06:10:23 2016 elapsed time 04:12:29
  189.  
  190.  
  191. Wed Aug 24 17:21:48 2016 Msieve v. 1.52 (SVN exported)
  192. Wed Aug 24 17:21:48 2016 random seeds: d91a4525 b9a28335
  193. Wed Aug 24 17:21:48 2016 factoring 73660183944135912045833461894149383189736292787006526453589183169580129738754271798473351208425168094962896585062731442237224909539746519684344931897653311020268062632440819853346474430067122229894216805473191222509185661801399 (227 digits)
  194. Wed Aug 24 17:21:51 2016 searching for 15-digit factors
  195. Wed Aug 24 17:21:53 2016 commencing number field sieve (227-digit input)
  196. Wed Aug 24 17:21:53 2016 R0: 10000000000000000000000000000000000000000
  197. Wed Aug 24 17:21:53 2016 R1: -147808829414345923316083210206383297601
  198. Wed Aug 24 17:21:53 2016 A0: -10
  199. Wed Aug 24 17:21:53 2016 A1: 0
  200. Wed Aug 24 17:21:53 2016 A2: 0
  201. Wed Aug 24 17:21:53 2016 A3: 0
  202. Wed Aug 24 17:21:53 2016 A4: 0
  203. Wed Aug 24 17:21:53 2016 A5: 0
  204. Wed Aug 24 17:21:53 2016 A6: 9
  205. Wed Aug 24 17:21:53 2016 skew 1.02, size 5.419e-12, alpha 1.630, combined = 4.096e-13 rroots = 2
  206. Wed Aug 24 17:21:53 2016
  207. Wed Aug 24 17:21:53 2016 commencing linear algebra
  208. Wed Aug 24 17:21:53 2016 skipping matrix build
  209. Wed Aug 24 17:21:57 2016 matrix starts at (0, 0)
  210. Wed Aug 24 17:22:00 2016 matrix is 8538305 x 8538482 (4257.8 MB) with weight 1208929497 (141.59/col)
  211. Wed Aug 24 17:22:00 2016 sparse part has weight 1022239379 (119.72/col)
  212. Wed Aug 24 17:22:00 2016 saving the first 48 matrix rows for later
  213. Wed Aug 24 17:22:02 2016 matrix includes 64 packed rows
  214. Wed Aug 24 17:22:05 2016 matrix is 8538257 x 8538482 (4083.5 MB) with weight 1049913852 (122.96/col)
  215. Wed Aug 24 17:22:05 2016 sparse part has weight 985090493 (115.37/col)
  216. Wed Aug 24 17:22:05 2016 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  217. Wed Aug 24 17:23:08 2016 commencing Lanczos iteration (12 threads)
  218. Wed Aug 24 17:23:08 2016 memory use: 3465.1 MB
  219. Wed Aug 24 17:23:43 2016 linear algebra at 0.0%, ETA 51h27m
  220. Wed Aug 24 17:23:54 2016 checkpointing every 170000 dimensions
  221. Fri Aug 26 19:36:52 2016 lanczos halted after 135026 iterations (dim = 8538257)
  222. Fri Aug 26 19:37:03 2016 recovered 38 nontrivial dependencies
  223. Fri Aug 26 19:37:03 2016 BLanczosTime: 180910
  224. Fri Aug 26 19:37:03 2016 elapsed time 50:15:15
  225.  
  226. Fri Aug 26 19:39:13 2016 commencing square root phase
  227. Fri Aug 26 19:39:13 2016 handling dependencies 1 to 1
  228. Fri Aug 26 19:39:13 2016 reading relations for dependency 1
  229. Fri Aug 26 19:39:16 2016 read 4267946 cycles
  230. Fri Aug 26 19:39:28 2016 cycles contain 14263100 unique relations
  231. Fri Aug 26 20:16:57 2016 read 14263100 relations
  232. Fri Aug 26 20:18:40 2016 multiplying 14263100 relations
  233. Fri Aug 26 20:34:09 2016 multiply complete, coefficients have about 399.57 million bits
  234. Fri Aug 26 20:34:12 2016 initial square root is modulo 14776423
  235. Fri Aug 26 20:51:05 2016 found factor: 302880330422799175346380223979718139854269694904828291777008361742194563
  236. Fri Aug 26 20:51:05 2016 sqrtTime: 4312
  237.  
  238. Fri Aug 26 19:39:13 2016 commencing square root phase
  239. Fri Aug 26 19:39:13 2016 handling dependencies 2 to 2
  240. Fri Aug 26 19:39:13 2016 reading relations for dependency 2
  241. Fri Aug 26 19:39:16 2016 read 4269861 cycles
  242. Fri Aug 26 19:39:28 2016 cycles contain 14265092 unique relations
  243. Fri Aug 26 20:16:55 2016 read 14265092 relations
  244. Fri Aug 26 20:18:38 2016 multiplying 14265092 relations
  245. Fri Aug 26 20:34:04 2016 multiply complete, coefficients have about 399.62 million bits
  246. Fri Aug 26 20:34:06 2016 initial square root is modulo 14808433
  247. Fri Aug 26 20:51:02 2016 found factor: 117986281436682732397951409622072705071891869666608262419013299817465819316331209771642797
  248. Fri Aug 26 20:51:02 2016 sqrtTime: 4309
  249.  
  250. prp72 factor: 302880330422799175346380223979718139854269694904828291777008361742194563
  251. prp90 factor: 117986281436682732397951409622072705071891869666608262419013299817465819316331209771642797
  252. prp67 factor: 2061247846441796198546794759108399993122712287288210946983761117009
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