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Msieve log of 523__191_13m1

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Jul 17th, 2021
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  1. Fri Jul 16 11:50:54 2021
  2. Fri Jul 16 11:50:54 2021
  3. Fri Jul 16 11:50:54 2021 Msieve v. 1.53 (SVN 988)
  4. Fri Jul 16 11:50:54 2021 random seeds: e35e3bb8 d291632f
  5. Fri Jul 16 11:50:54 2021 factoring 4668525467056286774130856206790217086564352787592767368622733402715082470629013297437551469998985025430021337125724216157968950216907464667986861040280196730167238377872966136120204266200068807675622361029 (205 digits)
  6. Fri Jul 16 11:50:56 2021 searching for 15-digit factors
  7. Fri Jul 16 11:50:56 2021 commencing number field sieve (205-digit input)
  8. Fri Jul 16 11:50:56 2021 R0: 274359601173465257822782838616444482
  9. Fri Jul 16 11:50:56 2021 R1: -523793471869844191
  10. Fri Jul 16 11:50:56 2021 A0: -1
  11. Fri Jul 16 11:50:56 2021 A1: 3
  12. Fri Jul 16 11:50:56 2021 A2: 6
  13. Fri Jul 16 11:50:56 2021 A3: -4
  14. Fri Jul 16 11:50:56 2021 A4: -5
  15. Fri Jul 16 11:50:56 2021 A5: 1
  16. Fri Jul 16 11:50:56 2021 A6: 1
  17. Fri Jul 16 11:50:56 2021 skew 1.00, size 1.689e-010, alpha 3.126, combined = 4.761e-012 rroots = 6
  18. Fri Jul 16 11:50:56 2021
  19. Fri Jul 16 11:50:56 2021 commencing relation filtering
  20. Fri Jul 16 11:50:56 2021 setting target matrix density to 100.0
  21. Fri Jul 16 11:50:56 2021 estimated available RAM is 12043.5 MB
  22. Fri Jul 16 11:50:56 2021 commencing duplicate removal, pass 1
  23. Fri Jul 16 11:55:46 2021 error -15 reading relation 25293857
  24. Fri Jul 16 11:55:46 2021 error -1 reading relation 25297990
  25. Fri Jul 16 11:55:46 2021 error -1 reading relation 25298032
  26. Fri Jul 16 11:55:46 2021 error -15 reading relation 25306824
  27. Fri Jul 16 11:56:41 2021 error -15 reading relation 30046250
  28. Fri Jul 16 11:56:49 2021 error -1 reading relation 30793812
  29. Fri Jul 16 11:56:53 2021 error -9 reading relation 31132696
  30. Fri Jul 16 11:58:14 2021 error -9 reading relation 37924103
  31. Fri Jul 16 11:58:58 2021 error -9 reading relation 41799536
  32. Fri Jul 16 11:58:59 2021 error -15 reading relation 41900709
  33. Fri Jul 16 11:58:59 2021 error -9 reading relation 41904290
  34. Fri Jul 16 11:59:41 2021 error -9 reading relation 45652456
  35. Fri Jul 16 11:59:53 2021 error -1 reading relation 46766551
  36. Fri Jul 16 11:59:55 2021 error -9 reading relation 46878069
  37. Fri Jul 16 12:00:15 2021 error -15 reading relation 48672777
  38. Fri Jul 16 12:00:19 2021 error -15 reading relation 49024592
  39. Fri Jul 16 12:00:23 2021 error -9 reading relation 49318867
  40. Fri Jul 16 12:00:27 2021 error -9 reading relation 49675729
  41. Fri Jul 16 12:00:34 2021 error -9 reading relation 50381465
  42. Fri Jul 16 12:00:41 2021 error -9 reading relation 50954042
  43. Fri Jul 16 12:00:45 2021 error -9 reading relation 51341724
  44. Fri Jul 16 12:00:48 2021 error -5 reading relation 51599947
  45. Fri Jul 16 12:02:09 2021 error -15 reading relation 58894753
  46. Fri Jul 16 12:02:36 2021 error -5 reading relation 61358014
  47. Fri Jul 16 12:02:36 2021 error -9 reading relation 61377728
  48. Fri Jul 16 12:02:37 2021 error -9 reading relation 61399112
  49. Fri Jul 16 12:02:37 2021 error -15 reading relation 61449038
  50. Fri Jul 16 12:02:39 2021 error -9 reading relation 61658841
  51. Fri Jul 16 12:02:54 2021 error -9 reading relation 62953488
  52. Fri Jul 16 12:03:14 2021 skipped 1 relations with b > 2^32
  53. Fri Jul 16 12:03:14 2021 skipped 16 relations with composite factors
  54. Fri Jul 16 12:03:14 2021 found 12048083 hash collisions in 64729907 relations
  55. Fri Jul 16 12:03:24 2021 added 2438355 free relations
  56. Fri Jul 16 12:03:24 2021 commencing duplicate removal, pass 2
  57. Fri Jul 16 12:04:11 2021 found 11280980 duplicates and 55887282 unique relations
  58. Fri Jul 16 12:04:11 2021 memory use: 330.4 MB
  59. Fri Jul 16 12:04:11 2021 reading ideals above 31916032
  60. Fri Jul 16 12:04:11 2021 commencing singleton removal, initial pass
  61. Fri Jul 16 12:13:13 2021 memory use: 1378.0 MB
  62. Fri Jul 16 12:13:13 2021 reading all ideals from disk
  63. Fri Jul 16 12:13:14 2021 memory use: 1004.5 MB
  64. Fri Jul 16 12:13:17 2021 commencing in-memory singleton removal
  65. Fri Jul 16 12:13:20 2021 begin with 55887282 relations and 44438592 unique ideals
  66. Fri Jul 16 12:13:44 2021 reduce to 39663052 relations and 26734796 ideals in 12 passes
  67. Fri Jul 16 12:13:44 2021 max relations containing the same ideal: 48
  68. Fri Jul 16 12:13:48 2021 reading ideals above 720000
  69. Fri Jul 16 12:13:49 2021 commencing singleton removal, initial pass
  70. Fri Jul 16 12:21:23 2021 memory use: 753.0 MB
  71. Fri Jul 16 12:21:23 2021 reading all ideals from disk
  72. Fri Jul 16 12:21:25 2021 memory use: 1399.7 MB
  73. Fri Jul 16 12:21:30 2021 keeping 30464438 ideals with weight <= 200, target excess is 208156
  74. Fri Jul 16 12:21:35 2021 commencing in-memory singleton removal
  75. Fri Jul 16 12:21:39 2021 begin with 39663063 relations and 30464438 unique ideals
  76. Fri Jul 16 12:21:47 2021 reduce to 39663045 relations and 30464383 ideals in 2 passes
  77. Fri Jul 16 12:21:47 2021 max relations containing the same ideal: 200
  78. Fri Jul 16 12:22:07 2021 removing 4277489 relations and 3277489 ideals in 1000000 cliques
  79. Fri Jul 16 12:22:08 2021 commencing in-memory singleton removal
  80. Fri Jul 16 12:22:12 2021 begin with 35385556 relations and 30464383 unique ideals
  81. Fri Jul 16 12:22:36 2021 reduce to 34914874 relations and 26701450 ideals in 7 passes
  82. Fri Jul 16 12:22:36 2021 max relations containing the same ideal: 192
  83. Fri Jul 16 12:22:55 2021 removing 3467070 relations and 2467070 ideals in 1000000 cliques
  84. Fri Jul 16 12:22:57 2021 commencing in-memory singleton removal
  85. Fri Jul 16 12:23:00 2021 begin with 31447804 relations and 26701450 unique ideals
  86. Fri Jul 16 12:23:20 2021 reduce to 31167490 relations and 23945572 ideals in 7 passes
  87. Fri Jul 16 12:23:20 2021 max relations containing the same ideal: 180
  88. Fri Jul 16 12:23:36 2021 removing 3142891 relations and 2142891 ideals in 1000000 cliques
  89. Fri Jul 16 12:23:37 2021 commencing in-memory singleton removal
  90. Fri Jul 16 12:23:40 2021 begin with 28024599 relations and 23945572 unique ideals
  91. Fri Jul 16 12:23:58 2021 reduce to 27779141 relations and 21549766 ideals in 7 passes
  92. Fri Jul 16 12:23:58 2021 max relations containing the same ideal: 170
  93. Fri Jul 16 12:24:13 2021 removing 3005210 relations and 2005210 ideals in 1000000 cliques
  94. Fri Jul 16 12:24:15 2021 commencing in-memory singleton removal
  95. Fri Jul 16 12:24:17 2021 begin with 24773931 relations and 21549766 unique ideals
  96. Fri Jul 16 12:24:31 2021 reduce to 24538704 relations and 19301433 ideals in 6 passes
  97. Fri Jul 16 12:24:31 2021 max relations containing the same ideal: 158
  98. Fri Jul 16 12:24:44 2021 removing 2925167 relations and 1925167 ideals in 1000000 cliques
  99. Fri Jul 16 12:24:45 2021 commencing in-memory singleton removal
  100. Fri Jul 16 12:24:48 2021 begin with 21613537 relations and 19301433 unique ideals
  101. Fri Jul 16 12:25:01 2021 reduce to 21373722 relations and 17127881 ideals in 7 passes
  102. Fri Jul 16 12:25:01 2021 max relations containing the same ideal: 142
  103. Fri Jul 16 12:25:13 2021 removing 2880298 relations and 1880298 ideals in 1000000 cliques
  104. Fri Jul 16 12:25:14 2021 commencing in-memory singleton removal
  105. Fri Jul 16 12:25:16 2021 begin with 18493424 relations and 17127881 unique ideals
  106. Fri Jul 16 12:25:27 2021 reduce to 18239344 relations and 14983211 ideals in 6 passes
  107. Fri Jul 16 12:25:27 2021 max relations containing the same ideal: 125
  108. Fri Jul 16 12:25:38 2021 removing 2853962 relations and 1853962 ideals in 1000000 cliques
  109. Fri Jul 16 12:25:39 2021 commencing in-memory singleton removal
  110. Fri Jul 16 12:25:40 2021 begin with 15385382 relations and 14983211 unique ideals
  111. Fri Jul 16 12:25:50 2021 reduce to 15102476 relations and 12832883 ideals in 7 passes
  112. Fri Jul 16 12:25:50 2021 max relations containing the same ideal: 108
  113. Fri Jul 16 12:25:58 2021 removing 2838928 relations and 1838928 ideals in 1000000 cliques
  114. Fri Jul 16 12:25:59 2021 commencing in-memory singleton removal
  115. Fri Jul 16 12:26:01 2021 begin with 12263548 relations and 12832883 unique ideals
  116. Fri Jul 16 12:26:08 2021 reduce to 11935040 relations and 10646929 ideals in 7 passes
  117. Fri Jul 16 12:26:08 2021 max relations containing the same ideal: 93
  118. Fri Jul 16 12:26:15 2021 removing 2827962 relations and 1827962 ideals in 1000000 cliques
  119. Fri Jul 16 12:26:16 2021 commencing in-memory singleton removal
  120. Fri Jul 16 12:26:17 2021 begin with 9107078 relations and 10646929 unique ideals
  121. Fri Jul 16 12:26:23 2021 reduce to 8703617 relations and 8386240 ideals in 8 passes
  122. Fri Jul 16 12:26:23 2021 max relations containing the same ideal: 74
  123. Fri Jul 16 12:26:28 2021 removing 352825 relations and 276909 ideals in 75916 cliques
  124. Fri Jul 16 12:26:28 2021 commencing in-memory singleton removal
  125. Fri Jul 16 12:26:29 2021 begin with 8350792 relations and 8386240 unique ideals
  126. Fri Jul 16 12:26:33 2021 reduce to 8338191 relations and 8096623 ideals in 6 passes
  127. Fri Jul 16 12:26:33 2021 max relations containing the same ideal: 73
  128. Fri Jul 16 12:26:40 2021 relations with 0 large ideals: 15382
  129. Fri Jul 16 12:26:40 2021 relations with 1 large ideals: 3761
  130. Fri Jul 16 12:26:40 2021 relations with 2 large ideals: 29491
  131. Fri Jul 16 12:26:40 2021 relations with 3 large ideals: 202741
  132. Fri Jul 16 12:26:40 2021 relations with 4 large ideals: 750808
  133. Fri Jul 16 12:26:40 2021 relations with 5 large ideals: 1629372
  134. Fri Jul 16 12:26:40 2021 relations with 6 large ideals: 2194919
  135. Fri Jul 16 12:26:40 2021 relations with 7+ large ideals: 3511717
  136. Fri Jul 16 12:26:40 2021 commencing 2-way merge
  137. Fri Jul 16 12:26:47 2021 reduce to 5598833 relation sets and 5357265 unique ideals
  138. Fri Jul 16 12:26:47 2021 commencing full merge
  139. Fri Jul 16 12:29:36 2021 memory use: 762.8 MB
  140. Fri Jul 16 12:29:37 2021 found 2672647 cycles, need 2649465
  141. Fri Jul 16 12:29:38 2021 weight of 2649465 cycles is about 265345218 (100.15/cycle)
  142. Fri Jul 16 12:29:38 2021 distribution of cycle lengths:
  143. Fri Jul 16 12:29:38 2021 1 relations: 131347
  144. Fri Jul 16 12:29:38 2021 2 relations: 174337
  145. Fri Jul 16 12:29:38 2021 3 relations: 206695
  146. Fri Jul 16 12:29:38 2021 4 relations: 220057
  147. Fri Jul 16 12:29:38 2021 5 relations: 225061
  148. Fri Jul 16 12:29:38 2021 6 relations: 222285
  149. Fri Jul 16 12:29:38 2021 7 relations: 212192
  150. Fri Jul 16 12:29:38 2021 8 relations: 197799
  151. Fri Jul 16 12:29:38 2021 9 relations: 178200
  152. Fri Jul 16 12:29:38 2021 10+ relations: 881492
  153. Fri Jul 16 12:29:38 2021 heaviest cycle: 28 relations
  154. Fri Jul 16 12:29:39 2021 commencing cycle optimization
  155. Fri Jul 16 12:29:45 2021 start with 21178337 relations
  156. Fri Jul 16 12:30:51 2021 pruned 953940 relations
  157. Fri Jul 16 12:30:51 2021 memory use: 565.9 MB
  158. Fri Jul 16 12:30:51 2021 distribution of cycle lengths:
  159. Fri Jul 16 12:30:51 2021 1 relations: 131347
  160. Fri Jul 16 12:30:51 2021 2 relations: 178233
  161. Fri Jul 16 12:30:51 2021 3 relations: 214970
  162. Fri Jul 16 12:30:51 2021 4 relations: 229085
  163. Fri Jul 16 12:30:51 2021 5 relations: 236626
  164. Fri Jul 16 12:30:51 2021 6 relations: 233622
  165. Fri Jul 16 12:30:51 2021 7 relations: 224109
  166. Fri Jul 16 12:30:51 2021 8 relations: 206366
  167. Fri Jul 16 12:30:51 2021 9 relations: 185625
  168. Fri Jul 16 12:30:51 2021 10+ relations: 809482
  169. Fri Jul 16 12:30:51 2021 heaviest cycle: 27 relations
  170. Fri Jul 16 12:30:55 2021 RelProcTime: 2399
  171. Fri Jul 16 12:30:55 2021
  172. Fri Jul 16 12:30:55 2021 commencing linear algebra
  173. Fri Jul 16 12:30:56 2021 read 2649465 cycles
  174. Fri Jul 16 12:31:02 2021 cycles contain 8220682 unique relations
  175. Fri Jul 16 12:32:30 2021 read 8220682 relations
  176. Fri Jul 16 12:32:47 2021 using 20 quadratic characters above 4294917295
  177. Fri Jul 16 12:33:42 2021 building initial matrix
  178. Fri Jul 16 12:38:59 2021
  179. Fri Jul 16 12:38:59 2021
  180. Fri Jul 16 12:38:59 2021 Msieve v. 1.53 (SVN 988)
  181. Fri Jul 16 12:38:59 2021 random seeds: 2f204ca4 659d7206
  182. Fri Jul 16 12:38:59 2021 factoring 4668525467056286774130856206790217086564352787592767368622733402715082470629013297437551469998985025430021337125724216157968950216907464667986861040280196730167238377872966136120204266200068807675622361029 (205 digits)
  183. Fri Jul 16 12:38:59 2021 searching for 15-digit factors
  184. Fri Jul 16 12:39:00 2021 commencing number field sieve (205-digit input)
  185. Fri Jul 16 12:39:00 2021 R0: 274359601173465257822782838616444482
  186. Fri Jul 16 12:39:00 2021 R1: -523793471869844191
  187. Fri Jul 16 12:39:00 2021 A0: -1
  188. Fri Jul 16 12:39:00 2021 A1: 3
  189. Fri Jul 16 12:39:00 2021 A2: 6
  190. Fri Jul 16 12:39:00 2021 A3: -4
  191. Fri Jul 16 12:39:00 2021 A4: -5
  192. Fri Jul 16 12:39:00 2021 A5: 1
  193. Fri Jul 16 12:39:00 2021 A6: 1
  194. Fri Jul 16 12:39:00 2021 skew 1.00, size 1.689e-010, alpha 3.126, combined = 4.761e-012 rroots = 6
  195. Fri Jul 16 12:39:00 2021
  196. Fri Jul 16 12:39:00 2021 commencing linear algebra
  197. Fri Jul 16 12:39:00 2021 read 2649465 cycles
  198. Fri Jul 16 12:39:04 2021 cycles contain 8220682 unique relations
  199. Fri Jul 16 12:39:51 2021 read 8220682 relations
  200. Fri Jul 16 12:40:01 2021 using 20 quadratic characters above 4294917295
  201. Fri Jul 16 12:40:33 2021 building initial matrix
  202. Fri Jul 16 12:41:47 2021 memory use: 1019.8 MB
  203. Fri Jul 16 12:41:49 2021 read 2649465 cycles
  204. Fri Jul 16 12:41:49 2021 matrix is 2649288 x 2649465 (1050.3 MB) with weight 299223888 (112.94/col)
  205. Fri Jul 16 12:41:49 2021 sparse part has weight 248843399 (93.92/col)
  206. Fri Jul 16 12:42:09 2021 filtering completed in 2 passes
  207. Fri Jul 16 12:42:09 2021 matrix is 2649186 x 2649363 (1050.3 MB) with weight 299220532 (112.94/col)
  208. Fri Jul 16 12:42:09 2021 sparse part has weight 248842097 (93.93/col)
  209. Fri Jul 16 12:42:14 2021 matrix starts at (0, 0)
  210. Fri Jul 16 12:42:14 2021 matrix is 2649186 x 2649363 (1050.3 MB) with weight 299220532 (112.94/col)
  211. Fri Jul 16 12:42:14 2021 sparse part has weight 248842097 (93.93/col)
  212. Fri Jul 16 12:42:14 2021 saving the first 48 matrix rows for later
  213. Fri Jul 16 12:42:15 2021 matrix includes 64 packed rows
  214. Fri Jul 16 12:42:16 2021 matrix is 2649138 x 2649363 (1006.1 MB) with weight 253806441 (95.80/col)
  215. Fri Jul 16 12:42:16 2021 sparse part has weight 237249624 (89.55/col)
  216. Fri Jul 16 12:42:16 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  217. Fri Jul 16 12:42:26 2021 commencing Lanczos iteration
  218. Fri Jul 16 12:42:26 2021 memory use: 836.4 MB
  219. Fri Jul 16 12:42:46 2021 linear algebra at 0.1%, ETA 9h42m
  220. Fri Jul 16 12:42:52 2021 checkpointing every 290000 dimensions
  221. Fri Jul 16 21:50:11 2021 lanczos halted after 41893 iterations (dim = 2649134)
  222. Fri Jul 16 21:50:13 2021 recovered 31 nontrivial dependencies
  223. Fri Jul 16 21:50:13 2021 BLanczosTime: 33073
  224. Fri Jul 16 21:50:13 2021 elapsed time 09:11:14
  225. Sat Jul 17 03:24:52 2021
  226. Sat Jul 17 03:24:52 2021
  227. Sat Jul 17 03:24:52 2021 Msieve v. 1.53 (SVN 988)
  228. Sat Jul 17 03:24:52 2021 random seeds: d524fce0 8f8f1cb2
  229. Sat Jul 17 03:24:52 2021 factoring 4668525467056286774130856206790217086564352787592767368622733402715082470629013297437551469998985025430021337125724216157968950216907464667986861040280196730167238377872966136120204266200068807675622361029 (205 digits)
  230. Sat Jul 17 03:24:53 2021 searching for 15-digit factors
  231. Sat Jul 17 03:24:53 2021 commencing number field sieve (205-digit input)
  232. Sat Jul 17 03:24:53 2021 R0: 274359601173465257822782838616444482
  233. Sat Jul 17 03:24:53 2021 R1: -523793471869844191
  234. Sat Jul 17 03:24:53 2021 A0: -1
  235. Sat Jul 17 03:24:53 2021 A1: 3
  236. Sat Jul 17 03:24:53 2021 A2: 6
  237. Sat Jul 17 03:24:53 2021 A3: -4
  238. Sat Jul 17 03:24:53 2021 A4: -5
  239. Sat Jul 17 03:24:53 2021 A5: 1
  240. Sat Jul 17 03:24:53 2021 A6: 1
  241. Sat Jul 17 03:24:53 2021 skew 1.00, size 1.689e-010, alpha 3.126, combined = 4.761e-012 rroots = 6
  242. Sat Jul 17 03:24:53 2021
  243. Sat Jul 17 03:24:53 2021 commencing square root phase
  244. Sat Jul 17 03:24:53 2021 handling dependencies 1 to 64
  245. Sat Jul 17 03:24:53 2021 reading relations for dependency 1
  246. Sat Jul 17 03:24:54 2021 read 1325258 cycles
  247. Sat Jul 17 03:24:56 2021 cycles contain 4109254 unique relations
  248. Sat Jul 17 03:25:20 2021 read 4109254 relations
  249. Sat Jul 17 03:25:33 2021 multiplying 4109254 relations
  250. Sat Jul 17 03:27:14 2021 multiply complete, coefficients have about 96.93 million bits
  251. Sat Jul 17 03:27:14 2021 initial square root is modulo 9066367
  252. Sat Jul 17 03:28:56 2021 sqrtTime: 243
  253. Sat Jul 17 03:28:56 2021 p62 factor: 86630169108706641579131333822154090096187820321934248061495919
  254. Sat Jul 17 03:28:56 2021 p143 factor: 53890296129955069903402612533970427373503919211349949895296983496950827383838651789852939787829614935888958075236219183082759132826799503399691
  255. Sat Jul 17 03:28:56 2021 elapsed time 00:04:04
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