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Aug 27th, 2022
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  1. Thu Aug 25 00:17:02 2022 Msieve v. 1.54 (SVN 1043M)
  2. Thu Aug 25 00:17:02 2022 random seeds: dde8494f ec51e7f3
  3. Thu Aug 25 00:17:02 2022 factoring 7779085485824587565097843754527599773952916861719998481772306116539678039184628940873173979825520005008302328750299006742858334232076993711223597732700609869 (157 digits)
  4. Thu Aug 25 00:17:02 2022 searching for 15-digit factors
  5. Thu Aug 25 00:17:03 2022 commencing number field sieve (157-digit input)
  6. Thu Aug 25 00:17:03 2022 R0: -2329009862317364730019490539335
  7. Thu Aug 25 00:17:03 2022 R1: 223284637556063747
  8. Thu Aug 25 00:17:03 2022 A0: -382886881615349793275114195350446474088
  9. Thu Aug 25 00:17:03 2022 A1: 667770747857894627819913638598166
  10. Thu Aug 25 00:17:03 2022 A2: 93923761814304045530297869
  11. Thu Aug 25 00:17:03 2022 A3: -20317687099642154212
  12. Thu Aug 25 00:17:03 2022 A4: -1298615492232
  13. Thu Aug 25 00:17:03 2022 A5: 113520
  14. Thu Aug 25 00:17:03 2022 skew 8417763.42, size 2.661e-15, alpha -7.223, combined = 2.012e-12 rroots = 5
  15. Thu Aug 25 00:17:03 2022
  16. Thu Aug 25 00:17:03 2022 commencing relation filtering
  17. Thu Aug 25 00:17:03 2022 setting target matrix density to 130.0
  18. Thu Aug 25 00:17:03 2022 estimated available RAM is 63624.2 MB
  19. Thu Aug 25 00:17:03 2022 commencing duplicate removal, pass 1
  20. Thu Aug 25 00:25:41 2022 found 2096174 hash collisions in 48882718 relations
  21. Thu Aug 25 00:26:17 2022 commencing duplicate removal, pass 2
  22. Thu Aug 25 00:26:32 2022 found 0 duplicates and 48882718 unique relations
  23. Thu Aug 25 00:26:32 2022 memory use: 130.6 MB
  24. Thu Aug 25 00:26:32 2022 reading ideals above 720000
  25. Thu Aug 25 00:26:32 2022 commencing singleton removal, initial pass
  26. Thu Aug 25 00:34:43 2022 memory use: 1378.0 MB
  27. Thu Aug 25 00:34:45 2022 reading all ideals from disk
  28. Thu Aug 25 00:34:46 2022 memory use: 1764.2 MB
  29. Thu Aug 25 00:34:51 2022 keeping 46604516 ideals with weight <= 200, target excess is 266240
  30. Thu Aug 25 00:34:57 2022 commencing in-memory singleton removal
  31. Thu Aug 25 00:35:01 2022 begin with 48882718 relations and 46604516 unique ideals
  32. Thu Aug 25 00:35:49 2022 reduce to 30320744 relations and 26054182 ideals in 13 passes
  33. Thu Aug 25 00:35:49 2022 max relations containing the same ideal: 151
  34. Thu Aug 25 00:36:06 2022 removing 2517828 relations and 2117828 ideals in 400000 cliques
  35. Thu Aug 25 00:36:08 2022 commencing in-memory singleton removal
  36. Thu Aug 25 00:36:10 2022 begin with 27802916 relations and 26054182 unique ideals
  37. Thu Aug 25 00:36:39 2022 reduce to 27650174 relations and 23781103 ideals in 8 passes
  38. Thu Aug 25 00:36:39 2022 max relations containing the same ideal: 143
  39. Thu Aug 25 00:36:55 2022 removing 1905648 relations and 1505648 ideals in 400000 cliques
  40. Thu Aug 25 00:36:56 2022 commencing in-memory singleton removal
  41. Thu Aug 25 00:36:58 2022 begin with 25744526 relations and 23781103 unique ideals
  42. Thu Aug 25 00:37:21 2022 reduce to 25646771 relations and 22176282 ideals in 7 passes
  43. Thu Aug 25 00:37:21 2022 max relations containing the same ideal: 138
  44. Thu Aug 25 00:37:34 2022 removing 1717853 relations and 1317853 ideals in 400000 cliques
  45. Thu Aug 25 00:37:35 2022 commencing in-memory singleton removal
  46. Thu Aug 25 00:37:37 2022 begin with 23928918 relations and 22176282 unique ideals
  47. Thu Aug 25 00:37:54 2022 reduce to 23842507 relations and 20770785 ideals in 7 passes
  48. Thu Aug 25 00:37:54 2022 max relations containing the same ideal: 130
  49. Thu Aug 25 00:38:05 2022 removing 1617758 relations and 1217758 ideals in 400000 cliques
  50. Thu Aug 25 00:38:06 2022 commencing in-memory singleton removal
  51. Thu Aug 25 00:38:07 2022 begin with 22224749 relations and 20770785 unique ideals
  52. Thu Aug 25 00:38:24 2022 reduce to 22142602 relations and 19469744 ideals in 7 passes
  53. Thu Aug 25 00:38:24 2022 max relations containing the same ideal: 126
  54. Thu Aug 25 00:38:35 2022 removing 1555527 relations and 1155527 ideals in 400000 cliques
  55. Thu Aug 25 00:38:36 2022 commencing in-memory singleton removal
  56. Thu Aug 25 00:38:38 2022 begin with 20587075 relations and 19469744 unique ideals
  57. Thu Aug 25 00:38:51 2022 reduce to 20508192 relations and 18234093 ideals in 6 passes
  58. Thu Aug 25 00:38:51 2022 max relations containing the same ideal: 118
  59. Thu Aug 25 00:39:01 2022 removing 1512736 relations and 1112736 ideals in 400000 cliques
  60. Thu Aug 25 00:39:02 2022 commencing in-memory singleton removal
  61. Thu Aug 25 00:39:03 2022 begin with 18995456 relations and 18234093 unique ideals
  62. Thu Aug 25 00:39:18 2022 reduce to 18915537 relations and 17040120 ideals in 7 passes
  63. Thu Aug 25 00:39:18 2022 max relations containing the same ideal: 114
  64. Thu Aug 25 00:39:28 2022 removing 1483764 relations and 1083764 ideals in 400000 cliques
  65. Thu Aug 25 00:39:29 2022 commencing in-memory singleton removal
  66. Thu Aug 25 00:39:30 2022 begin with 17431773 relations and 17040120 unique ideals
  67. Thu Aug 25 00:39:45 2022 reduce to 17349874 relations and 15873036 ideals in 7 passes
  68. Thu Aug 25 00:39:45 2022 max relations containing the same ideal: 109
  69. Thu Aug 25 00:39:55 2022 removing 1464559 relations and 1064559 ideals in 400000 cliques
  70. Thu Aug 25 00:39:56 2022 commencing in-memory singleton removal
  71. Thu Aug 25 00:39:58 2022 begin with 15885315 relations and 15873036 unique ideals
  72. Thu Aug 25 00:40:14 2022 reduce to 15798457 relations and 14719966 ideals in 7 passes
  73. Thu Aug 25 00:40:14 2022 max relations containing the same ideal: 102
  74. Thu Aug 25 00:40:21 2022 removing 1451641 relations and 1051641 ideals in 400000 cliques
  75. Thu Aug 25 00:40:22 2022 commencing in-memory singleton removal
  76. Thu Aug 25 00:40:23 2022 begin with 14346816 relations and 14719966 unique ideals
  77. Thu Aug 25 00:40:34 2022 reduce to 14254423 relations and 13573932 ideals in 7 passes
  78. Thu Aug 25 00:40:34 2022 max relations containing the same ideal: 95
  79. Thu Aug 25 00:40:42 2022 removing 1363383 relations and 991731 ideals in 371652 cliques
  80. Thu Aug 25 00:40:43 2022 commencing in-memory singleton removal
  81. Thu Aug 25 00:40:43 2022 begin with 12891040 relations and 13573932 unique ideals
  82. Thu Aug 25 00:40:55 2022 reduce to 12801045 relations and 12490236 ideals in 9 passes
  83. Thu Aug 25 00:40:55 2022 max relations containing the same ideal: 89
  84. Thu Aug 25 00:41:02 2022 relations with 0 large ideals: 876
  85. Thu Aug 25 00:41:02 2022 relations with 1 large ideals: 2761
  86. Thu Aug 25 00:41:02 2022 relations with 2 large ideals: 42998
  87. Thu Aug 25 00:41:02 2022 relations with 3 large ideals: 300631
  88. Thu Aug 25 00:41:02 2022 relations with 4 large ideals: 1134928
  89. Thu Aug 25 00:41:02 2022 relations with 5 large ideals: 2530096
  90. Thu Aug 25 00:41:02 2022 relations with 6 large ideals: 3516283
  91. Thu Aug 25 00:41:02 2022 relations with 7+ large ideals: 5272472
  92. Thu Aug 25 00:41:02 2022 commencing 2-way merge
  93. Thu Aug 25 00:41:12 2022 reduce to 8457808 relation sets and 8146999 unique ideals
  94. Thu Aug 25 00:41:12 2022 commencing full merge
  95. Thu Aug 25 00:44:58 2022 memory use: 1044.4 MB
  96. Thu Aug 25 00:44:59 2022 found 3693923 cycles, need 3687199
  97. Thu Aug 25 00:45:01 2022 weight of 3687199 cycles is about 479445532 (130.03/cycle)
  98. Thu Aug 25 00:45:01 2022 distribution of cycle lengths:
  99. Thu Aug 25 00:45:01 2022 1 relations: 111906
  100. Thu Aug 25 00:45:01 2022 2 relations: 198106
  101. Thu Aug 25 00:45:01 2022 3 relations: 243626
  102. Thu Aug 25 00:45:01 2022 4 relations: 257004
  103. Thu Aug 25 00:45:01 2022 5 relations: 266866
  104. Thu Aug 25 00:45:01 2022 6 relations: 266112
  105. Thu Aug 25 00:45:01 2022 7 relations: 260530
  106. Thu Aug 25 00:45:01 2022 8 relations: 252141
  107. Thu Aug 25 00:45:01 2022 9 relations: 237568
  108. Thu Aug 25 00:45:01 2022 10+ relations: 1593340
  109. Thu Aug 25 00:45:01 2022 heaviest cycle: 28 relations
  110. Thu Aug 25 00:45:02 2022 commencing cycle optimization
  111. Thu Aug 25 00:45:11 2022 start with 34612679 relations
  112. Thu Aug 25 00:46:47 2022 pruned 1773240 relations
  113. Thu Aug 25 00:46:47 2022 memory use: 886.0 MB
  114. Thu Aug 25 00:46:47 2022 distribution of cycle lengths:
  115. Thu Aug 25 00:46:47 2022 1 relations: 111906
  116. Thu Aug 25 00:46:47 2022 2 relations: 204378
  117. Thu Aug 25 00:46:47 2022 3 relations: 255617
  118. Thu Aug 25 00:46:47 2022 4 relations: 269645
  119. Thu Aug 25 00:46:47 2022 5 relations: 282428
  120. Thu Aug 25 00:46:47 2022 6 relations: 280872
  121. Thu Aug 25 00:46:47 2022 7 relations: 275981
  122. Thu Aug 25 00:46:47 2022 8 relations: 265063
  123. Thu Aug 25 00:46:47 2022 9 relations: 250028
  124. Thu Aug 25 00:46:47 2022 10+ relations: 1491281
  125. Thu Aug 25 00:46:47 2022 heaviest cycle: 28 relations
  126. Thu Aug 25 00:46:55 2022 RelProcTime: 1792
  127. Thu Aug 25 00:46:55 2022 elapsed time 00:29:53
  128. Thu Aug 25 00:47:07 2022
  129. Thu Aug 25 00:47:07 2022
  130. Thu Aug 25 00:47:07 2022 Msieve v. 1.54 (SVN 1043M)
  131. Thu Aug 25 00:47:07 2022 random seeds: ad771012 06dc08ef
  132. Thu Aug 25 00:47:07 2022 factoring 7779085485824587565097843754527599773952916861719998481772306116539678039184628940873173979825520005008302328750299006742858334232076993711223597732700609869 (157 digits)
  133. Thu Aug 25 00:47:08 2022 searching for 15-digit factors
  134. Thu Aug 25 00:47:08 2022 commencing number field sieve (157-digit input)
  135. Thu Aug 25 00:47:08 2022 R0: -2329009862317364730019490539335
  136. Thu Aug 25 00:47:08 2022 R1: 223284637556063747
  137. Thu Aug 25 00:47:08 2022 A0: -382886881615349793275114195350446474088
  138. Thu Aug 25 00:47:08 2022 A1: 667770747857894627819913638598166
  139. Thu Aug 25 00:47:08 2022 A2: 93923761814304045530297869
  140. Thu Aug 25 00:47:08 2022 A3: -20317687099642154212
  141. Thu Aug 25 00:47:08 2022 A4: -1298615492232
  142. Thu Aug 25 00:47:08 2022 A5: 113520
  143. Thu Aug 25 00:47:08 2022 skew 8417763.42, size 2.661e-15, alpha -7.223, combined = 2.012e-12 rroots = 5
  144. Thu Aug 25 00:47:08 2022
  145. Thu Aug 25 00:47:08 2022 commencing linear algebra
  146. Thu Aug 25 00:47:09 2022 read 3687199 cycles
  147. Thu Aug 25 00:47:20 2022 cycles contain 12620752 unique relations
  148. Thu Aug 25 00:48:55 2022 read 12620752 relations
  149. Thu Aug 25 00:49:16 2022 using 20 quadratic characters above 4294917295
  150. Thu Aug 25 00:50:28 2022 building initial matrix
  151. Thu Aug 25 00:54:32 2022 memory use: 1747.9 MB
  152. Thu Aug 25 00:54:35 2022 read 3687199 cycles
  153. Thu Aug 25 00:54:35 2022 matrix is 3687022 x 3687199 (1849.9 MB) with weight 562102647 (152.45/col)
  154. Thu Aug 25 00:54:35 2022 sparse part has weight 440686580 (119.52/col)
  155. Thu Aug 25 00:55:25 2022 filtering completed in 2 passes
  156. Thu Aug 25 00:55:26 2022 matrix is 3687002 x 3687179 (1849.9 MB) with weight 562101705 (152.45/col)
  157. Thu Aug 25 00:55:26 2022 sparse part has weight 440686390 (119.52/col)
  158. Thu Aug 25 00:55:44 2022 matrix starts at (0, 0)
  159. Thu Aug 25 00:55:44 2022 matrix is 3687002 x 3687179 (1849.9 MB) with weight 562101705 (152.45/col)
  160. Thu Aug 25 00:55:44 2022 sparse part has weight 440686390 (119.52/col)
  161. Thu Aug 25 00:55:44 2022 saving the first 48 matrix rows for later
  162. Thu Aug 25 00:55:45 2022 matrix includes 64 packed rows
  163. Thu Aug 25 00:55:46 2022 matrix is 3686954 x 3687179 (1796.6 MB) with weight 483789454 (131.21/col)
  164. Thu Aug 25 00:55:46 2022 sparse part has weight 434107874 (117.73/col)
  165. Thu Aug 25 00:55:46 2022 using block size 8192 and superblock size 3514368 for processor cache size 36608 kB
  166. Thu Aug 25 00:56:06 2022 commencing Lanczos iteration
  167. Thu Aug 25 00:56:06 2022 memory use: 1647.7 MB
  168. Thu Aug 25 00:57:00 2022 linear algebra at 0.0%, ETA 35h 2m
  169. Thu Aug 25 00:57:05 2022 lanczos halted after 26 iterations (dim = 1647)
  170. Thu Aug 25 00:57:05 2022 BLanczosTime: 597
  171. Thu Aug 25 00:57:05 2022 elapsed time 00:09:58
  172. Thu Aug 25 00:59:56 2022
  173. Thu Aug 25 00:59:56 2022
  174. Thu Aug 25 00:59:56 2022 Msieve v. 1.54 (SVN unknown)
  175. Thu Aug 25 00:59:56 2022 random seeds: 8fbdaee2 0f3a0aaf
  176. Thu Aug 25 00:59:56 2022 factoring 7779085485824587565097843754527599773952916861719998481772306116539678039184628940873173979825520005008302328750299006742858334232076993711223597732700609869 (157 digits)
  177. Thu Aug 25 00:59:56 2022 no P-1/P+1/ECM available, skipping
  178. Thu Aug 25 00:59:56 2022 commencing number field sieve (157-digit input)
  179. Thu Aug 25 00:59:56 2022 R0: -2329009862317364730019490539335
  180. Thu Aug 25 00:59:56 2022 R1: 223284637556063747
  181. Thu Aug 25 00:59:56 2022 A0: -382886881615349793275114195350446474088
  182. Thu Aug 25 00:59:56 2022 A1: 667770747857894627819913638598166
  183. Thu Aug 25 00:59:56 2022 A2: 93923761814304045530297869
  184. Thu Aug 25 00:59:56 2022 A3: -20317687099642154212
  185. Thu Aug 25 00:59:56 2022 A4: -1298615492232
  186. Thu Aug 25 00:59:56 2022 A5: 113520
  187. Thu Aug 25 00:59:56 2022 skew 8417763.42, size 2.661e-15, alpha -7.223, combined = 2.012e-12 rroots = 5
  188. Thu Aug 25 00:59:56 2022
  189. Thu Aug 25 00:59:56 2022 commencing linear algebra
  190. Thu Aug 25 00:59:56 2022 using VBITS=128
  191. Thu Aug 25 00:59:56 2022 skipping matrix build
  192. Thu Aug 25 00:59:58 2022 matrix starts at (0, 0)
  193. Thu Aug 25 00:59:59 2022 matrix is 3687002 x 3687179 (1849.9 MB) with weight 562101705 (152.45/col)
  194. Thu Aug 25 00:59:59 2022 sparse part has weight 440686390 (119.52/col)
  195. Thu Aug 25 00:59:59 2022 saving the first 112 matrix rows for later
  196. Thu Aug 25 01:00:00 2022 matrix includes 128 packed rows
  197. Thu Aug 25 01:00:01 2022 matrix is 3686890 x 3687179 (1687.8 MB) with weight 434107874 (117.73/col)
  198. Thu Aug 25 01:00:01 2022 sparse part has weight 398197834 (108.00/col)
  199. Thu Aug 25 01:00:01 2022 using GPU 0 (Tesla P100-PCIE-16GB)
  200. Thu Aug 25 01:00:01 2022 selected card has CUDA arch 6.0
  201. Thu Aug 25 01:00:45 2022 commencing Lanczos iteration
  202. Thu Aug 25 01:00:45 2022 memory use: 3516.2 MB
  203. Thu Aug 25 01:00:48 2022 linear algebra at 0.0%, ETA 1h20m
  204. Thu Aug 25 01:00:48 2022 checkpointing every 3670000 dimensions
  205. Thu Aug 25 02:12:16 2022 lanczos halted after 28976 iterations (dim = 3686889)
  206. Thu Aug 25 02:12:23 2022 recovered 30 nontrivial dependencies
  207. Thu Aug 25 02:12:23 2022 BLanczosTime: 4347
  208. Thu Aug 25 02:12:23 2022 elapsed time 01:12:27
  209. Thu Aug 25 02:14:22 2022
  210. Thu Aug 25 02:14:22 2022
  211. Thu Aug 25 02:14:22 2022 Msieve v. 1.54 (SVN 1043M)
  212. Thu Aug 25 02:14:22 2022 random seeds: 4b89a93f 1e201511
  213. Thu Aug 25 02:14:22 2022 factoring 7779085485824587565097843754527599773952916861719998481772306116539678039184628940873173979825520005008302328750299006742858334232076993711223597732700609869 (157 digits)
  214. Thu Aug 25 02:14:23 2022 searching for 15-digit factors
  215. Thu Aug 25 02:14:23 2022 commencing number field sieve (157-digit input)
  216. Thu Aug 25 02:14:23 2022 R0: -2329009862317364730019490539335
  217. Thu Aug 25 02:14:23 2022 R1: 223284637556063747
  218. Thu Aug 25 02:14:23 2022 A0: -382886881615349793275114195350446474088
  219. Thu Aug 25 02:14:23 2022 A1: 667770747857894627819913638598166
  220. Thu Aug 25 02:14:23 2022 A2: 93923761814304045530297869
  221. Thu Aug 25 02:14:23 2022 A3: -20317687099642154212
  222. Thu Aug 25 02:14:23 2022 A4: -1298615492232
  223. Thu Aug 25 02:14:23 2022 A5: 113520
  224. Thu Aug 25 02:14:23 2022 skew 8417763.42, size 2.661e-15, alpha -7.223, combined = 2.012e-12 rroots = 5
  225. Thu Aug 25 02:14:23 2022
  226. Thu Aug 25 02:14:23 2022 commencing square root phase
  227. Thu Aug 25 02:14:23 2022 reading relations for dependency 1
  228. Thu Aug 25 02:14:24 2022 read 1842942 cycles
  229. Thu Aug 25 02:14:28 2022 cycles contain 6310638 unique relations
  230. Thu Aug 25 02:15:23 2022 read 6310638 relations
  231. Thu Aug 25 02:15:58 2022 multiplying 6310638 relations
  232. Thu Aug 25 02:23:45 2022 multiply complete, coefficients have about 332.67 million bits
  233. Thu Aug 25 02:23:48 2022 initial square root is modulo 931859
  234. Thu Aug 25 02:33:08 2022 GCD is 1, no factor found
  235. Thu Aug 25 02:33:08 2022 reading relations for dependency 2
  236. Thu Aug 25 02:33:09 2022 read 1841863 cycles
  237. Thu Aug 25 02:33:14 2022 cycles contain 6308356 unique relations
  238. Thu Aug 25 02:34:01 2022 read 6308356 relations
  239. Thu Aug 25 02:34:37 2022 multiplying 6308356 relations
  240. Thu Aug 25 02:42:42 2022 multiply complete, coefficients have about 332.56 million bits
  241. Thu Aug 25 02:42:44 2022 initial square root is modulo 927229
  242. Thu Aug 25 02:52:17 2022 GCD is N, no factor found
  243. Thu Aug 25 02:52:17 2022 reading relations for dependency 3
  244. Thu Aug 25 02:52:17 2022 read 1844112 cycles
  245. Thu Aug 25 02:52:21 2022 cycles contain 6311374 unique relations
  246. Thu Aug 25 02:53:15 2022 read 6311374 relations
  247. Thu Aug 25 02:53:52 2022 multiplying 6311374 relations
  248. Thu Aug 25 03:01:46 2022 multiply complete, coefficients have about 332.71 million bits
  249. Thu Aug 25 03:01:47 2022 initial square root is modulo 932963
  250. Thu Aug 25 03:11:06 2022 GCD is N, no factor found
  251. Thu Aug 25 03:11:06 2022 reading relations for dependency 4
  252. Thu Aug 25 03:11:06 2022 read 1842626 cycles
  253. Thu Aug 25 03:11:11 2022 cycles contain 6310784 unique relations
  254. Thu Aug 25 03:12:07 2022 read 6310784 relations
  255. Thu Aug 25 03:12:46 2022 multiplying 6310784 relations
  256. Thu Aug 25 03:20:47 2022 multiply complete, coefficients have about 332.69 million bits
  257. Thu Aug 25 03:20:49 2022 initial square root is modulo 932209
  258. Thu Aug 25 03:30:07 2022 sqrtTime: 4544
  259. Thu Aug 25 03:30:07 2022 p64 factor: 1502217050719158948568656704248560121167511247601076514950482403
  260. Thu Aug 25 03:30:07 2022 p94 factor: 5178403135619112172120112773157601096539094064997840276696170373951311379580434720585545278223
  261. Thu Aug 25 03:30:07 2022 elapsed time 01:15:45
  262.  
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