CarlosPinho

1900421426047^19minus1

May 30th, 2016
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  1. Sun Aug 30 11:33:33 2015
  2. Sun Aug 30 11:33:33 2015
  3. Sun Aug 30 11:33:33 2015 Msieve v. 1.52 (SVN 946)
  4. Sun Aug 30 11:33:33 2015 random seeds: f62114a0 cbe79cd5
  5. Sun Aug 30 11:33:33 2015 factoring 104543859000117592570735577344834068527134836805420013173307441308227064157609706543659205280655104099269886675194166694337389266231098054389093582489460536490359234211437162549142143518056628133255415502145164759849842817 (222 digits)
  6. Sun Aug 30 11:33:35 2015 no P-1/P+1/ECM available, skipping
  7. Sun Aug 30 11:33:35 2015 commencing number field sieve (222-digit input)
  8. Sun Aug 30 11:33:35 2015 R0: -6863565056483359842584473028906205823
  9. Sun Aug 30 11:33:35 2015 R1: 1
  10. Sun Aug 30 11:33:35 2015 A0: -1
  11. Sun Aug 30 11:33:35 2015 A1: 0
  12. Sun Aug 30 11:33:35 2015 A2: 0
  13. Sun Aug 30 11:33:35 2015 A3: 0
  14. Sun Aug 30 11:33:35 2015 A4: 0
  15. Sun Aug 30 11:33:35 2015 A5: 0
  16. Sun Aug 30 11:33:35 2015 A6: 1900421426047
  17. Sun Aug 30 11:33:35 2015 skew 0.01, size 1.847e-012, alpha -1.570, combined = 1.961e-013 rroots = 2
  18. Sun Aug 30 11:33:35 2015
  19. Sun Aug 30 11:33:35 2015 commencing relation filtering
  20. Sun Aug 30 11:33:35 2015 setting target matrix density to 110.0
  21. Sun Aug 30 11:33:35 2015 estimated available RAM is 16331.2 MB
  22. Sun Aug 30 11:33:35 2015 commencing duplicate removal, pass 1
  23. <errors reading relations>
  24. Sun Aug 30 12:05:48 2015 skipped 113333 relations with b > 2^32
  25. Sun Aug 30 12:05:48 2015 found 45997724 hash collisions in 211773865 relations
  26. Sun Aug 30 12:06:16 2015 added 1218592 free relations
  27. Sun Aug 30 12:06:16 2015 commencing duplicate removal, pass 2
  28. Sun Aug 30 12:08:05 2015 found 48092011 duplicates and 164900446 unique relations
  29. Sun Aug 30 12:08:05 2015 memory use: 1321.5 MB
  30. Sun Aug 30 12:08:06 2015 reading ideals above 160235520
  31. Sun Aug 30 12:08:06 2015 commencing singleton removal, initial pass
  32. Sun Aug 30 12:35:51 2015 memory use: 3012.0 MB
  33. Sun Aug 30 12:35:51 2015 reading all ideals from disk
  34. Sun Aug 30 12:35:58 2015 memory use: 2892.1 MB
  35. Sun Aug 30 12:36:04 2015 commencing in-memory singleton removal
  36. Sun Aug 30 12:36:10 2015 begin with 164900446 relations and 149503690 unique ideals
  37. Sun Aug 30 12:37:21 2015 reduce to 87321807 relations and 61662552 ideals in 19 passes
  38. Sun Aug 30 12:37:21 2015 max relations containing the same ideal: 28
  39. Sun Aug 30 12:37:27 2015 reading ideals above 720000
  40. Sun Aug 30 12:37:28 2015 commencing singleton removal, initial pass
  41. Sun Aug 30 12:55:30 2015 memory use: 1506.0 MB
  42. Sun Aug 30 12:55:30 2015 reading all ideals from disk
  43. Sun Aug 30 12:55:38 2015 memory use: 3443.3 MB
  44. Sun Aug 30 12:55:47 2015 keeping 79183605 ideals with weight <= 200, target excess is 445433
  45. Sun Aug 30 12:55:57 2015 commencing in-memory singleton removal
  46. Sun Aug 30 12:56:04 2015 begin with 87321807 relations and 79183605 unique ideals
  47. Sun Aug 30 12:57:28 2015 reduce to 87277237 relations and 79139012 ideals in 11 passes
  48. Sun Aug 30 12:57:28 2015 max relations containing the same ideal: 200
  49. Sun Aug 30 12:58:10 2015 removing 7713780 relations and 6713780 ideals in 1000000 cliques
  50. Sun Aug 30 12:58:12 2015 commencing in-memory singleton removal
  51. Sun Aug 30 12:58:19 2015 begin with 79563457 relations and 79139012 unique ideals
  52. Sun Aug 30 12:59:20 2015 reduce to 79088209 relations and 71942685 ideals in 9 passes
  53. Sun Aug 30 12:59:20 2015 max relations containing the same ideal: 196
  54. Sun Aug 30 12:59:56 2015 removing 5682780 relations and 4682780 ideals in 1000000 cliques
  55. Sun Aug 30 12:59:58 2015 commencing in-memory singleton removal
  56. Sun Aug 30 13:00:04 2015 begin with 73405429 relations and 71942685 unique ideals
  57. Sun Aug 30 13:00:52 2015 reduce to 73111388 relations and 66962128 ideals in 8 passes
  58. Sun Aug 30 13:00:52 2015 max relations containing the same ideal: 187
  59. Sun Aug 30 13:01:26 2015 removing 5034239 relations and 4034239 ideals in 1000000 cliques
  60. Sun Aug 30 13:01:27 2015 commencing in-memory singleton removal
  61. Sun Aug 30 13:01:33 2015 begin with 68077149 relations and 66962128 unique ideals
  62. Sun Aug 30 13:02:19 2015 reduce to 67828614 relations and 62676043 ideals in 8 passes
  63. Sun Aug 30 13:02:19 2015 max relations containing the same ideal: 180
  64. Sun Aug 30 13:02:52 2015 removing 4682957 relations and 3682957 ideals in 1000000 cliques
  65. Sun Aug 30 13:02:53 2015 commencing in-memory singleton removal
  66. Sun Aug 30 13:02:59 2015 begin with 63145657 relations and 62676043 unique ideals
  67. Sun Aug 30 13:03:36 2015 reduce to 62914873 relations and 58759304 ideals in 7 passes
  68. Sun Aug 30 13:03:36 2015 max relations containing the same ideal: 172
  69. Sun Aug 30 13:04:06 2015 removing 4451445 relations and 3451445 ideals in 1000000 cliques
  70. Sun Aug 30 13:04:08 2015 commencing in-memory singleton removal
  71. Sun Aug 30 13:04:12 2015 begin with 58463428 relations and 58759304 unique ideals
  72. Sun Aug 30 13:04:51 2015 reduce to 58238593 relations and 55079837 ideals in 8 passes
  73. Sun Aug 30 13:04:51 2015 max relations containing the same ideal: 162
  74. Sun Aug 30 13:05:19 2015 removing 4288939 relations and 3288939 ideals in 1000000 cliques
  75. Sun Aug 30 13:05:21 2015 commencing in-memory singleton removal
  76. Sun Aug 30 13:05:25 2015 begin with 53949654 relations and 55079837 unique ideals
  77. Sun Aug 30 13:05:56 2015 reduce to 53723523 relations and 51561380 ideals in 7 passes
  78. Sun Aug 30 13:05:56 2015 max relations containing the same ideal: 157
  79. Sun Aug 30 13:06:22 2015 removing 4177667 relations and 3177667 ideals in 1000000 cliques
  80. Sun Aug 30 13:06:23 2015 commencing in-memory singleton removal
  81. Sun Aug 30 13:06:27 2015 begin with 49545856 relations and 51561380 unique ideals
  82. Sun Aug 30 13:07:00 2015 reduce to 49311592 relations and 48145825 ideals in 8 passes
  83. Sun Aug 30 13:07:00 2015 max relations containing the same ideal: 147
  84. Sun Aug 30 13:07:23 2015 removing 2876408 relations and 2227344 ideals in 649064 cliques
  85. Sun Aug 30 13:07:24 2015 commencing in-memory singleton removal
  86. Sun Aug 30 13:07:28 2015 begin with 46435184 relations and 48145825 unique ideals
  87. Sun Aug 30 13:07:55 2015 reduce to 46317478 relations and 45799428 ideals in 7 passes
  88. Sun Aug 30 13:07:55 2015 max relations containing the same ideal: 137
  89. Sun Aug 30 13:08:23 2015 relations with 0 large ideals: 15786
  90. Sun Aug 30 13:08:23 2015 relations with 1 large ideals: 5650
  91. Sun Aug 30 13:08:23 2015 relations with 2 large ideals: 46289
  92. Sun Aug 30 13:08:23 2015 relations with 3 large ideals: 405205
  93. Sun Aug 30 13:08:23 2015 relations with 4 large ideals: 1955582
  94. Sun Aug 30 13:08:23 2015 relations with 5 large ideals: 5701164
  95. Sun Aug 30 13:08:23 2015 relations with 6 large ideals: 10477634
  96. Sun Aug 30 13:08:23 2015 relations with 7+ large ideals: 27710168
  97. Sun Aug 30 13:08:23 2015 commencing 2-way merge
  98. Sun Aug 30 13:08:53 2015 reduce to 30436071 relation sets and 29918021 unique ideals
  99. Sun Aug 30 13:08:53 2015 commencing full merge
  100. Sun Aug 30 13:23:08 2015 memory use: 3864.5 MB
  101. Sun Aug 30 13:23:12 2015 found 13986620 cycles, need 13970221
  102. Sun Aug 30 13:23:13 2015 weight of 13970221 cycles is about 1537175995 (110.03/cycle)
  103. Sun Aug 30 13:23:13 2015 distribution of cycle lengths:
  104. Sun Aug 30 13:23:13 2015 1 relations: 733163
  105. Sun Aug 30 13:23:13 2015 2 relations: 1008300
  106. Sun Aug 30 13:23:13 2015 3 relations: 1158286
  107. Sun Aug 30 13:23:13 2015 4 relations: 1151560
  108. Sun Aug 30 13:23:13 2015 5 relations: 1133289
  109. Sun Aug 30 13:23:13 2015 6 relations: 1083130
  110. Sun Aug 30 13:23:13 2015 7 relations: 1009993
  111. Sun Aug 30 13:23:13 2015 8 relations: 938988
  112. Sun Aug 30 13:23:13 2015 9 relations: 860688
  113. Sun Aug 30 13:23:13 2015 10+ relations: 4892824
  114. Sun Aug 30 13:23:13 2015 heaviest cycle: 28 relations
  115. Sun Aug 30 13:23:16 2015 commencing cycle optimization
  116. Sun Aug 30 13:23:43 2015 start with 114694690 relations
  117. Sun Aug 30 13:29:14 2015 pruned 4540857 relations
  118. Sun Aug 30 13:29:14 2015 memory use: 3117.1 MB
  119. Sun Aug 30 13:29:14 2015 distribution of cycle lengths:
  120. Sun Aug 30 13:29:14 2015 1 relations: 733163
  121. Sun Aug 30 13:29:14 2015 2 relations: 1033264
  122. Sun Aug 30 13:29:14 2015 3 relations: 1206534
  123. Sun Aug 30 13:29:14 2015 4 relations: 1196032
  124. Sun Aug 30 13:29:14 2015 5 relations: 1183035
  125. Sun Aug 30 13:29:14 2015 6 relations: 1122651
  126. Sun Aug 30 13:29:14 2015 7 relations: 1050128
  127. Sun Aug 30 13:29:14 2015 8 relations: 967536
  128. Sun Aug 30 13:29:14 2015 9 relations: 883753
  129. Sun Aug 30 13:29:14 2015 10+ relations: 4594125
  130. Sun Aug 30 13:29:14 2015 heaviest cycle: 28 relations
  131. Sun Aug 30 13:30:04 2015 RelProcTime: 6989
  132. Sun Aug 30 13:30:04 2015
  133. Sun Aug 30 13:30:04 2015 commencing linear algebra
  134. Sun Aug 30 13:30:06 2015 read 13970221 cycles
  135. Sun Aug 30 13:30:37 2015 cycles contain 45998304 unique relations
  136. Sun Aug 30 13:38:05 2015 read 45998304 relations
  137. Sun Aug 30 13:39:39 2015 using 20 quadratic characters above 2147482818
  138. Sun Aug 30 13:42:54 2015 building initial matrix
  139. Sun Aug 30 13:53:21 2015 memory use: 6281.7 MB
  140. Sun Aug 30 13:53:31 2015 read 13970221 cycles
  141. Sun Aug 30 13:53:36 2015 matrix is 13970044 x 13970221 (6104.9 MB) with weight 1840933215 (131.78/col)
  142. Sun Aug 30 13:53:36 2015 sparse part has weight 1446699985 (103.56/col)
  143. Sun Aug 30 13:56:40 2015 filtering completed in 2 passes
  144. Sun Aug 30 13:56:45 2015 matrix is 13969860 x 13970037 (6104.9 MB) with weight 1840926321 (131.78/col)
  145. Sun Aug 30 13:56:45 2015 sparse part has weight 1446698503 (103.56/col)
  146. Sun Aug 30 13:57:39 2015 matrix starts at (0, 0)
  147. Sun Aug 30 13:57:44 2015 matrix is 13969860 x 13970037 (6104.9 MB) with weight 1840926321 (131.78/col)
  148. Sun Aug 30 13:57:44 2015 sparse part has weight 1446698503 (103.56/col)
  149. Sun Aug 30 13:57:44 2015 saving the first 48 matrix rows for later
  150. Sun Aug 30 13:57:47 2015 matrix includes 64 packed rows
  151. Sun Aug 30 13:57:50 2015 matrix is 13969812 x 13970037 (5946.7 MB) with weight 1560052744 (111.67/col)
  152. Sun Aug 30 13:57:50 2015 sparse part has weight 1419184455 (101.59/col)
  153. Sun Aug 30 13:57:50 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  154. Sun Aug 30 13:59:13 2015 commencing Lanczos iteration
  155. Sun Aug 30 13:59:13 2015 memory use: 5027.3 MB
  156. Sun Aug 30 14:03:38 2015 linear algebra at 0.0%, ETA 652h13m
  157. Sun Aug 30 14:05:05 2015 checkpointing every 30000 dimensions
  158. Sun Aug 30 22:58:30 2015 lanczos halted after 3902 iterations (dim = 246779)
  159. Sun Aug 30 22:58:41 2015 BLanczosTime: 34117
  160. Sun Aug 30 22:58:51 2015
  161. Sun Aug 30 22:58:51 2015
  162. Sun Aug 30 22:58:51 2015 Msieve v. 1.52 (SVN 946)
  163. Sun Aug 30 22:58:51 2015 random seeds: f7db6080 860b720f
  164. Sun Aug 30 22:58:51 2015 factoring 104543859000117592570735577344834068527134836805420013173307441308227064157609706543659205280655104099269886675194166694337389266231098054389093582489460536490359234211437162549142143518056628133255415502145164759849842817 (222 digits)
  165. Sun Aug 30 22:58:52 2015 no P-1/P+1/ECM available, skipping
  166. Sun Aug 30 22:58:52 2015 commencing number field sieve (222-digit input)
  167. Sun Aug 30 22:58:52 2015 R0: -6863565056483359842584473028906205823
  168. Sun Aug 30 22:58:52 2015 R1: 1
  169. Sun Aug 30 22:58:52 2015 A0: -1
  170. Sun Aug 30 22:58:52 2015 A1: 0
  171. Sun Aug 30 22:58:52 2015 A2: 0
  172. Sun Aug 30 22:58:52 2015 A3: 0
  173. Sun Aug 30 22:58:52 2015 A4: 0
  174. Sun Aug 30 22:58:52 2015 A5: 0
  175. Sun Aug 30 22:58:52 2015 A6: 1900421426047
  176. Sun Aug 30 22:58:52 2015 skew 0.01, size 1.847e-012, alpha -1.570, combined = 1.961e-013 rroots = 2
  177. Sun Aug 30 22:58:52 2015
  178. Sun Aug 30 22:58:52 2015 commencing linear algebra
  179. Sun Aug 30 22:59:07 2015 matrix starts at (0, 0)
  180. Sun Aug 30 22:59:12 2015 matrix is 13969860 x 13970037 (6104.9 MB) with weight 1840926321 (131.78/col)
  181. Sun Aug 30 22:59:12 2015 sparse part has weight 1446698503 (103.56/col)
  182. Sun Aug 30 22:59:12 2015 saving the first 48 matrix rows for later
  183. Sun Aug 30 22:59:15 2015 matrix includes 64 packed rows
  184. Sun Aug 30 22:59:18 2015 matrix is 13969812 x 13970037 (5946.7 MB) with weight 1560052744 (111.67/col)
  185. Sun Aug 30 22:59:18 2015 sparse part has weight 1419184455 (101.59/col)
  186. Sun Aug 30 22:59:18 2015 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  187. Sun Aug 30 23:00:39 2015 commencing Lanczos iteration (4 threads)
  188. Sun Aug 30 23:00:39 2015 memory use: 5027.4 MB
  189. Sun Aug 30 23:00:40 2015 restarting at iteration 3902 (dim = 246779)
  190. Sun Aug 30 23:01:25 2015 checkpointing every 110000 dimensions
  191. Sun Aug 30 23:01:34 2015 linear algebra at 1.8%, ETA 135h24m
  192. Sat Sep 05 13:15:46 2015 lanczos halted after 220919 iterations (dim = 13969809)
  193. Sat Sep 05 13:16:16 2015 recovered 35 nontrivial dependencies
  194. Sat Sep 05 13:16:22 2015 BLanczosTime: 483450
  195. Sat Sep 05 13:16:22 2015 elapsed time 134:17:31
  196. Sat Sep 05 15:14:22 2015
  197. Sat Sep 05 15:14:22 2015
  198. Sat Sep 05 15:14:22 2015 Msieve v. 1.52 (SVN 946)
  199. Sat Sep 05 15:14:22 2015 random seeds: e0fa95c4 3b0166f3
  200. Sat Sep 05 15:14:22 2015 factoring 104543859000117592570735577344834068527134836805420013173307441308227064157609706543659205280655104099269886675194166694337389266231098054389093582489460536490359234211437162549142143518056628133255415502145164759849842817 (222 digits)
  201. Sat Sep 05 15:14:23 2015 no P-1/P+1/ECM available, skipping
  202. Sat Sep 05 15:14:23 2015 commencing number field sieve (222-digit input)
  203. Sat Sep 05 15:14:23 2015 R0: -6863565056483359842584473028906205823
  204. Sat Sep 05 15:14:23 2015 R1: 1
  205. Sat Sep 05 15:14:23 2015 A0: -1
  206. Sat Sep 05 15:14:23 2015 A1: 0
  207. Sat Sep 05 15:14:23 2015 A2: 0
  208. Sat Sep 05 15:14:23 2015 A3: 0
  209. Sat Sep 05 15:14:23 2015 A4: 0
  210. Sat Sep 05 15:14:23 2015 A5: 0
  211. Sat Sep 05 15:14:23 2015 A6: 1900421426047
  212. Sat Sep 05 15:14:23 2015 skew 0.01, size 1.847e-012, alpha -1.570, combined = 1.961e-013 rroots = 2
  213. Sat Sep 05 15:14:23 2015
  214. Sat Sep 05 15:14:23 2015 commencing square root phase
  215. Sat Sep 05 15:14:23 2015 reading relations for dependency 1
  216. Sat Sep 05 15:14:25 2015 read 6984239 cycles
  217. Sat Sep 05 15:14:37 2015 cycles contain 22995532 unique relations
  218. Sat Sep 05 15:18:35 2015 read 22995532 relations
  219. Sat Sep 05 15:20:36 2015 multiplying 22995532 relations
  220. Sat Sep 05 16:23:15 2015 multiply complete, coefficients have about 1438.27 million bits
  221. Sat Sep 05 16:23:30 2015 initial square root is modulo 2829397
  222. Sat Sep 05 17:49:49 2015 GCD is N, no factor found
  223. Sat Sep 05 17:49:49 2015 reading relations for dependency 2
  224. Sat Sep 05 17:49:52 2015 read 6983098 cycles
  225. Sat Sep 05 17:50:11 2015 cycles contain 22995994 unique relations
  226. Sat Sep 05 17:55:11 2015 read 22995994 relations
  227. Sat Sep 05 17:58:19 2015 multiplying 22995994 relations
  228. Sat Sep 05 19:06:55 2015 multiply complete, coefficients have about 1438.29 million bits
  229. Sat Sep 05 19:07:10 2015 initial square root is modulo 2829889
  230. Sat Sep 05 20:34:13 2015 Newton iteration failed to converge
  231. Sat Sep 05 20:34:13 2015 algebraic square root failed
  232. Sat Sep 05 20:34:13 2015 reading relations for dependency 3
  233. Sat Sep 05 20:34:17 2015 read 6982694 cycles
  234. Sat Sep 05 20:34:37 2015 cycles contain 22999408 unique relations
  235. Sat Sep 05 20:39:38 2015 read 22999408 relations
  236. Sat Sep 05 20:42:46 2015 multiplying 22999408 relations
  237. Sat Sep 05 21:51:48 2015 multiply complete, coefficients have about 1438.50 million bits
  238. Sat Sep 05 21:52:03 2015 initial square root is modulo 2836261
  239. Sat Sep 05 23:16:35 2015 GCD is N, no factor found
  240. Sat Sep 05 23:16:35 2015 reading relations for dependency 4
  241. Sat Sep 05 23:16:39 2015 read 6987727 cycles
  242. Sat Sep 05 23:16:57 2015 cycles contain 23004842 unique relations
  243. Sat Sep 05 23:21:44 2015 read 23004842 relations
  244. Sat Sep 05 23:24:43 2015 multiplying 23004842 relations
  245. Sun Sep 06 00:30:37 2015 multiply complete, coefficients have about 1438.84 million bits
  246. Sun Sep 06 00:30:52 2015 initial square root is modulo 2846119
  247. Sun Sep 06 01:53:53 2015 Newton iteration failed to converge
  248. Sun Sep 06 01:53:53 2015 algebraic square root failed
  249. Sun Sep 06 01:53:53 2015 reading relations for dependency 5
  250. Sun Sep 06 01:53:57 2015 read 6985442 cycles
  251. Sun Sep 06 01:54:16 2015 cycles contain 22997410 unique relations
  252. Sun Sep 06 01:59:02 2015 read 22997410 relations
  253. Sun Sep 06 02:02:03 2015 multiplying 22997410 relations
  254. Sun Sep 06 03:08:02 2015 multiply complete, coefficients have about 1438.37 million bits
  255. Sun Sep 06 03:08:16 2015 initial square root is modulo 2832283
  256. Sun Sep 06 04:31:40 2015 sqrtTime: 47837
  257. Sun Sep 06 04:31:40 2015 prp89 factor: 13133569912228884111909702149222003030698023130110506246222578035099189654595314842663129
  258. Sun Sep 06 04:31:40 2015 prp133 factor: 7960048920345341657541294275618884818271540272030421307085139978493552551310602914315915776839732288773539575126503486120553416733673
  259. Sun Sep 06 04:31:40 2015 elapsed time 13:17:18
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