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9p8_578M

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Aug 2nd, 2019
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  1. Thu Aug 1 10:09:41 2019
  2. Thu Aug 1 10:09:41 2019
  3. Thu Aug 1 10:09:41 2019 Msieve v. 1.54 (SVN 1025)
  4. Thu Aug 1 10:09:41 2019 random seeds: 423cc2b6 5d769fc1
  5. Thu Aug 1 10:09:41 2019 factoring 299746813485353533434776475968594315722388699544396791711452066942568896716037729417727343508277088972999335648210927155877654219647402872594522306997925214909641 (162 digits)
  6. Thu Aug 1 10:09:41 2019 searching for 15-digit factors
  7. Thu Aug 1 10:09:42 2019 commencing number field sieve (162-digit input)
  8. Thu Aug 1 10:09:42 2019 R0: -7436911437794658954357689800400
  9. Thu Aug 1 10:09:42 2019 R1: 987739766185309897
  10. Thu Aug 1 10:09:42 2019 A0: -803069349299462720202417298988016803487
  11. Thu Aug 1 10:09:42 2019 A1: 1625540605154510259746540876500512
  12. Thu Aug 1 10:09:42 2019 A2: -247899333263618353559948598
  13. Thu Aug 1 10:09:42 2019 A3: -373857855913483288783
  14. Thu Aug 1 10:09:42 2019 A4: 6744308694454
  15. Thu Aug 1 10:09:42 2019 A5: 13176240
  16. Thu Aug 1 10:09:42 2019 skew 3128166.01, size 1.054e-15, alpha -8.239, combined = 1.159e-12 rroots = 5
  17. Thu Aug 1 10:09:42 2019
  18. Thu Aug 1 10:09:42 2019 commencing relation filtering
  19. Thu Aug 1 10:09:42 2019 setting target matrix density to 140.0
  20. Thu Aug 1 10:09:42 2019 estimated available RAM is 16007.4 MB
  21. Thu Aug 1 10:09:42 2019 commencing duplicate removal, pass 1
  22. Thu Aug 1 10:22:17 2019 error -15 reading relation 93437904
  23. Thu Aug 1 10:22:23 2019 error -1 reading relation 94222071
  24. Thu Aug 1 10:25:42 2019 skipped 1 relations with b > 2^32
  25. Thu Aug 1 10:25:42 2019 skipped 1 relations with composite factors
  26. Thu Aug 1 10:25:42 2019 found 6452350 hash collisions in 122178126 relations
  27. Thu Aug 1 10:26:07 2019 added 121774 free relations
  28. Thu Aug 1 10:26:07 2019 commencing duplicate removal, pass 2
  29. Thu Aug 1 10:26:41 2019 found 0 duplicates and 122299900 unique relations
  30. Thu Aug 1 10:26:41 2019 memory use: 378.4 MB
  31. Thu Aug 1 10:26:41 2019 reading ideals above 107151360
  32. Thu Aug 1 10:26:41 2019 commencing singleton removal, initial pass
  33. Thu Aug 1 10:37:51 2019 memory use: 2756.0 MB
  34. Thu Aug 1 10:37:52 2019 reading all ideals from disk
  35. Thu Aug 1 10:37:56 2019 memory use: 1947.2 MB
  36. Thu Aug 1 10:37:59 2019 commencing in-memory singleton removal
  37. Thu Aug 1 10:38:03 2019 begin with 122299900 relations and 83276520 unique ideals
  38. Thu Aug 1 10:38:42 2019 reduce to 94672578 relations and 53739439 ideals in 10 passes
  39. Thu Aug 1 10:38:42 2019 max relations containing the same ideal: 49
  40. Thu Aug 1 10:38:46 2019 reading ideals above 720000
  41. Thu Aug 1 10:38:46 2019 commencing singleton removal, initial pass
  42. Thu Aug 1 10:49:03 2019 memory use: 1506.0 MB
  43. Thu Aug 1 10:49:03 2019 reading all ideals from disk
  44. Thu Aug 1 10:49:10 2019 memory use: 3546.4 MB
  45. Thu Aug 1 10:49:18 2019 keeping 65533616 ideals with weight <= 200, target excess is 503868
  46. Thu Aug 1 10:49:27 2019 commencing in-memory singleton removal
  47. Thu Aug 1 10:49:34 2019 begin with 94672578 relations and 65533616 unique ideals
  48. Thu Aug 1 10:50:17 2019 reduce to 94658888 relations and 65519926 ideals in 6 passes
  49. Thu Aug 1 10:50:17 2019 max relations containing the same ideal: 200
  50. Thu Aug 1 10:50:48 2019 removing 7283874 relations and 5283874 ideals in 2000000 cliques
  51. Thu Aug 1 10:50:50 2019 commencing in-memory singleton removal
  52. Thu Aug 1 10:50:56 2019 begin with 87375014 relations and 65519926 unique ideals
  53. Thu Aug 1 10:51:37 2019 reduce to 86920766 relations and 59769734 ideals in 6 passes
  54. Thu Aug 1 10:51:37 2019 max relations containing the same ideal: 197
  55. Thu Aug 1 10:52:06 2019 removing 5869119 relations and 3869119 ideals in 2000000 cliques
  56. Thu Aug 1 10:52:08 2019 commencing in-memory singleton removal
  57. Thu Aug 1 10:52:13 2019 begin with 81051647 relations and 59769734 unique ideals
  58. Thu Aug 1 10:52:50 2019 reduce to 80749255 relations and 55591185 ideals in 6 passes
  59. Thu Aug 1 10:52:50 2019 max relations containing the same ideal: 190
  60. Thu Aug 1 10:53:16 2019 removing 5499795 relations and 3499795 ideals in 2000000 cliques
  61. Thu Aug 1 10:53:18 2019 commencing in-memory singleton removal
  62. Thu Aug 1 10:53:23 2019 begin with 75249460 relations and 55591185 unique ideals
  63. Thu Aug 1 10:53:57 2019 reduce to 74990944 relations and 51826763 ideals in 6 passes
  64. Thu Aug 1 10:53:57 2019 max relations containing the same ideal: 184
  65. Thu Aug 1 10:54:21 2019 removing 5307000 relations and 3307000 ideals in 2000000 cliques
  66. Thu Aug 1 10:54:23 2019 commencing in-memory singleton removal
  67. Thu Aug 1 10:54:28 2019 begin with 69683944 relations and 51826763 unique ideals
  68. Thu Aug 1 10:54:59 2019 reduce to 69446052 relations and 48276085 ideals in 6 passes
  69. Thu Aug 1 10:54:59 2019 max relations containing the same ideal: 175
  70. Thu Aug 1 10:55:22 2019 removing 5179188 relations and 3179188 ideals in 2000000 cliques
  71. Thu Aug 1 10:55:24 2019 commencing in-memory singleton removal
  72. Thu Aug 1 10:55:28 2019 begin with 64266864 relations and 48276085 unique ideals
  73. Thu Aug 1 10:55:57 2019 reduce to 64038521 relations and 44862818 ideals in 6 passes
  74. Thu Aug 1 10:55:57 2019 max relations containing the same ideal: 167
  75. Thu Aug 1 10:56:18 2019 removing 5086392 relations and 3086392 ideals in 2000000 cliques
  76. Thu Aug 1 10:56:20 2019 commencing in-memory singleton removal
  77. Thu Aug 1 10:56:23 2019 begin with 58952129 relations and 44862818 unique ideals
  78. Thu Aug 1 10:56:49 2019 reduce to 58726819 relations and 41544979 ideals in 6 passes
  79. Thu Aug 1 10:56:49 2019 max relations containing the same ideal: 156
  80. Thu Aug 1 10:57:09 2019 removing 5016794 relations and 3016794 ideals in 2000000 cliques
  81. Thu Aug 1 10:57:10 2019 commencing in-memory singleton removal
  82. Thu Aug 1 10:57:14 2019 begin with 53710025 relations and 41544979 unique ideals
  83. Thu Aug 1 10:57:37 2019 reduce to 53483681 relations and 38295294 ideals in 6 passes
  84. Thu Aug 1 10:57:37 2019 max relations containing the same ideal: 147
  85. Thu Aug 1 10:57:55 2019 removing 4963048 relations and 2963048 ideals in 2000000 cliques
  86. Thu Aug 1 10:57:57 2019 commencing in-memory singleton removal
  87. Thu Aug 1 10:58:00 2019 begin with 48520633 relations and 38295294 unique ideals
  88. Thu Aug 1 10:58:20 2019 reduce to 48287596 relations and 35092092 ideals in 6 passes
  89. Thu Aug 1 10:58:20 2019 max relations containing the same ideal: 140
  90. Thu Aug 1 10:58:36 2019 removing 4921199 relations and 2921199 ideals in 2000000 cliques
  91. Thu Aug 1 10:58:38 2019 commencing in-memory singleton removal
  92. Thu Aug 1 10:58:41 2019 begin with 43366397 relations and 35092092 unique ideals
  93. Thu Aug 1 10:58:56 2019 reduce to 43120594 relations and 31917007 ideals in 5 passes
  94. Thu Aug 1 10:58:56 2019 max relations containing the same ideal: 128
  95. Thu Aug 1 10:59:10 2019 removing 4885847 relations and 2885847 ideals in 2000000 cliques
  96. Thu Aug 1 10:59:12 2019 commencing in-memory singleton removal
  97. Thu Aug 1 10:59:14 2019 begin with 38234747 relations and 31917007 unique ideals
  98. Thu Aug 1 10:59:27 2019 reduce to 37971323 relations and 28758256 ideals in 5 passes
  99. Thu Aug 1 10:59:27 2019 max relations containing the same ideal: 118
  100. Thu Aug 1 10:59:40 2019 removing 4858945 relations and 2858945 ideals in 2000000 cliques
  101. Thu Aug 1 10:59:41 2019 commencing in-memory singleton removal
  102. Thu Aug 1 10:59:43 2019 begin with 33112378 relations and 28758256 unique ideals
  103. Thu Aug 1 10:59:59 2019 reduce to 32825217 relations and 25600567 ideals in 7 passes
  104. Thu Aug 1 10:59:59 2019 max relations containing the same ideal: 107
  105. Thu Aug 1 11:00:10 2019 removing 4836227 relations and 2836227 ideals in 2000000 cliques
  106. Thu Aug 1 11:00:12 2019 commencing in-memory singleton removal
  107. Thu Aug 1 11:00:13 2019 begin with 27988990 relations and 25600567 unique ideals
  108. Thu Aug 1 11:00:25 2019 reduce to 27665513 relations and 22426065 ideals in 6 passes
  109. Thu Aug 1 11:00:25 2019 max relations containing the same ideal: 92
  110. Thu Aug 1 11:00:34 2019 removing 4822889 relations and 2822889 ideals in 2000000 cliques
  111. Thu Aug 1 11:00:36 2019 commencing in-memory singleton removal
  112. Thu Aug 1 11:00:37 2019 begin with 22842624 relations and 22426065 unique ideals
  113. Thu Aug 1 11:00:46 2019 reduce to 22457324 relations and 19197075 ideals in 6 passes
  114. Thu Aug 1 11:00:46 2019 max relations containing the same ideal: 80
  115. Thu Aug 1 11:00:54 2019 removing 4823779 relations and 2823779 ideals in 2000000 cliques
  116. Thu Aug 1 11:00:55 2019 commencing in-memory singleton removal
  117. Thu Aug 1 11:00:56 2019 begin with 17633545 relations and 19197075 unique ideals
  118. Thu Aug 1 11:01:04 2019 reduce to 17130144 relations and 15836244 ideals in 7 passes
  119. Thu Aug 1 11:01:04 2019 max relations containing the same ideal: 67
  120. Thu Aug 1 11:01:10 2019 removing 1990413 relations and 1281000 ideals in 709413 cliques
  121. Thu Aug 1 11:01:11 2019 commencing in-memory singleton removal
  122. Thu Aug 1 11:01:11 2019 begin with 15139731 relations and 15836244 unique ideals
  123. Thu Aug 1 11:01:18 2019 reduce to 14919880 relations and 14326466 ideals in 7 passes
  124. Thu Aug 1 11:01:18 2019 max relations containing the same ideal: 62
  125. Thu Aug 1 11:01:23 2019 removing 48496 relations and 39569 ideals in 8927 cliques
  126. Thu Aug 1 11:01:24 2019 commencing in-memory singleton removal
  127. Thu Aug 1 11:01:25 2019 begin with 14871384 relations and 14326466 unique ideals
  128. Thu Aug 1 11:01:29 2019 reduce to 14871229 relations and 14286742 ideals in 5 passes
  129. Thu Aug 1 11:01:29 2019 max relations containing the same ideal: 62
  130. Thu Aug 1 11:01:32 2019 relations with 0 large ideals: 1560
  131. Thu Aug 1 11:01:32 2019 relations with 1 large ideals: 11162
  132. Thu Aug 1 11:01:32 2019 relations with 2 large ideals: 145352
  133. Thu Aug 1 11:01:32 2019 relations with 3 large ideals: 794266
  134. Thu Aug 1 11:01:32 2019 relations with 4 large ideals: 2262249
  135. Thu Aug 1 11:01:32 2019 relations with 5 large ideals: 3775736
  136. Thu Aug 1 11:01:32 2019 relations with 6 large ideals: 3934892
  137. Thu Aug 1 11:01:32 2019 relations with 7+ large ideals: 3946012
  138. Thu Aug 1 11:01:32 2019 commencing 2-way merge
  139. Thu Aug 1 11:01:38 2019 reduce to 10730748 relation sets and 10146261 unique ideals
  140. Thu Aug 1 11:01:38 2019 commencing full merge
  141. Thu Aug 1 11:04:44 2019 memory use: 1256.4 MB
  142. Thu Aug 1 11:04:45 2019 found 4539533 cycles, need 4530461
  143. Thu Aug 1 11:04:46 2019 weight of 4530461 cycles is about 634891022 (140.14/cycle)
  144. Thu Aug 1 11:04:46 2019 distribution of cycle lengths:
  145. Thu Aug 1 11:04:46 2019 1 relations: 52606
  146. Thu Aug 1 11:04:46 2019 2 relations: 173667
  147. Thu Aug 1 11:04:46 2019 3 relations: 246218
  148. Thu Aug 1 11:04:46 2019 4 relations: 286822
  149. Thu Aug 1 11:04:46 2019 5 relations: 321602
  150. Thu Aug 1 11:04:46 2019 6 relations: 336769
  151. Thu Aug 1 11:04:46 2019 7 relations: 342536
  152. Thu Aug 1 11:04:46 2019 8 relations: 332782
  153. Thu Aug 1 11:04:46 2019 9 relations: 317223
  154. Thu Aug 1 11:04:46 2019 10+ relations: 2120236
  155. Thu Aug 1 11:04:46 2019 heaviest cycle: 28 relations
  156. Thu Aug 1 11:04:47 2019 commencing cycle optimization
  157. Thu Aug 1 11:04:55 2019 start with 45258684 relations
  158. Thu Aug 1 11:06:25 2019 pruned 3048348 relations
  159. Thu Aug 1 11:06:25 2019 memory use: 1080.2 MB
  160. Thu Aug 1 11:06:25 2019 distribution of cycle lengths:
  161. Thu Aug 1 11:06:25 2019 1 relations: 52606
  162. Thu Aug 1 11:06:25 2019 2 relations: 179774
  163. Thu Aug 1 11:06:25 2019 3 relations: 260158
  164. Thu Aug 1 11:06:25 2019 4 relations: 304614
  165. Thu Aug 1 11:06:25 2019 5 relations: 347064
  166. Thu Aug 1 11:06:25 2019 6 relations: 363726
  167. Thu Aug 1 11:06:25 2019 7 relations: 372649
  168. Thu Aug 1 11:06:25 2019 8 relations: 360674
  169. Thu Aug 1 11:06:25 2019 9 relations: 342583
  170. Thu Aug 1 11:06:25 2019 10+ relations: 1946613
  171. Thu Aug 1 11:06:25 2019 heaviest cycle: 28 relations
  172. Thu Aug 1 11:06:30 2019 RelProcTime: 3408
  173. Thu Aug 1 11:06:30 2019
  174. Thu Aug 1 11:06:30 2019 commencing linear algebra
  175. Thu Aug 1 11:06:32 2019 read 4530461 cycles
  176. Thu Aug 1 11:06:40 2019 cycles contain 14631247 unique relations
  177. Thu Aug 1 11:08:00 2019 read 14631247 relations
  178. Thu Aug 1 11:08:21 2019 using 20 quadratic characters above 4294917295
  179. Thu Aug 1 11:09:15 2019 building initial matrix
  180. Thu Aug 1 11:12:11 2019 memory use: 2100.7 MB
  181. Thu Aug 1 11:12:13 2019 read 4530461 cycles
  182. Thu Aug 1 11:12:14 2019 matrix is 4530284 x 4530461 (2384.3 MB) with weight 740731865 (163.50/col)
  183. Thu Aug 1 11:12:14 2019 sparse part has weight 570651703 (125.96/col)
  184. Thu Aug 1 11:13:06 2019 filtering completed in 2 passes
  185. Thu Aug 1 11:13:07 2019 matrix is 4530259 x 4530436 (2384.2 MB) with weight 740730450 (163.50/col)
  186. Thu Aug 1 11:13:07 2019 sparse part has weight 570651170 (125.96/col)
  187. Thu Aug 1 11:13:18 2019 matrix starts at (0, 0)
  188. Thu Aug 1 11:13:19 2019 matrix is 4530259 x 4530436 (2384.2 MB) with weight 740730450 (163.50/col)
  189. Thu Aug 1 11:13:19 2019 sparse part has weight 570651170 (125.96/col)
  190. Thu Aug 1 11:13:19 2019 saving the first 48 matrix rows for later
  191. Thu Aug 1 11:13:19 2019 matrix includes 64 packed rows
  192. Thu Aug 1 11:13:20 2019 matrix is 4530211 x 4530436 (2341.7 MB) with weight 641033316 (141.49/col)
  193. Thu Aug 1 11:13:20 2019 sparse part has weight 568557531 (125.50/col)
  194. Thu Aug 1 11:13:20 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  195. Thu Aug 1 11:13:36 2019 commencing Lanczos iteration (4 threads)
  196. Thu Aug 1 11:13:36 2019 memory use: 2144.6 MB
  197. Thu Aug 1 11:13:54 2019 linear algebra at 0.0%, ETA 14h 1m
  198. Thu Aug 1 11:14:00 2019 checkpointing every 320000 dimensions
  199. Fri Aug 2 00:32:52 2019 lanczos halted after 71642 iterations (dim = 4530210)
  200. Fri Aug 2 00:32:56 2019 recovered 31 nontrivial dependencies
  201. Fri Aug 2 00:32:56 2019 BLanczosTime: 48386
  202. Fri Aug 2 00:32:56 2019
  203. Fri Aug 2 00:32:56 2019 commencing square root phase
  204. Fri Aug 2 00:32:56 2019 handling dependencies 1 to 64
  205. Fri Aug 2 00:32:56 2019 reading relations for dependency 1
  206. Fri Aug 2 00:32:56 2019 read 2265419 cycles
  207. Fri Aug 2 00:33:00 2019 cycles contain 7320280 unique relations
  208. Fri Aug 2 00:33:47 2019 read 7320280 relations
  209. Fri Aug 2 00:34:15 2019 multiplying 7320280 relations
  210. Fri Aug 2 00:41:10 2019 multiply complete, coefficients have about 432.98 million bits
  211. Fri Aug 2 00:41:13 2019 initial square root is modulo 58757087
  212. Fri Aug 2 00:49:29 2019 sqrtTime: 993
  213. Fri Aug 2 00:49:29 2019 p80 factor: 55722738160095298746258800558366907878559293614233790528805680112264260580510669
  214. Fri Aug 2 00:49:29 2019 p82 factor: 5379254921467787705444554434357994436065337595294864634045113128012616258235082989
  215. Fri Aug 2 00:49:29 2019 elapsed time 14:39:48
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