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Sep 26th, 2023
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  1. Mon Sep 25 11:23:14 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Mon Sep 25 11:23:14 2023 random seeds: 22f1d1bb de807802
  3. Mon Sep 25 11:23:14 2023 Using 16 OpenMP threads
  4. Mon Sep 25 11:23:14 2023 factoring 99974434667007249798134702572866578794181218943721666939545420064833332873349028883732236144892617071172359390077272863933769867601939320605844489267889617708705887387692561452489536688074454606009500786311805567602550967728296921905841 (236 digits)
  5. Mon Sep 25 11:23:14 2023 no P-1/P+1/ECM available, skipping
  6. Mon Sep 25 11:23:14 2023 commencing number field sieve (236-digit input)
  7. Mon Sep 25 11:23:14 2023 R0: 2854495385411919762116571938898990272765493248
  8. Mon Sep 25 11:23:14 2023 R1: -1798465042647412146620280340569649349251249
  9. Mon Sep 25 11:23:14 2023 A0: 49
  10. Mon Sep 25 11:23:14 2023 A1: 0
  11. Mon Sep 25 11:23:14 2023 A2: 0
  12. Mon Sep 25 11:23:14 2023 A3: 0
  13. Mon Sep 25 11:23:14 2023 A4: 0
  14. Mon Sep 25 11:23:14 2023 A5: 0
  15. Mon Sep 25 11:23:14 2023 A6: 1
  16. Mon Sep 25 11:23:14 2023 skew 1.91, size 1.734e-13, alpha 1.380, combined = 3.112e-14 rroots = 0
  17. Mon Sep 25 11:23:14 2023
  18. Mon Sep 25 11:23:14 2023 commencing relation filtering
  19. Mon Sep 25 11:23:14 2023 setting target matrix density to 110.0
  20. Mon Sep 25 11:23:14 2023 estimated available RAM is 128734.5 MB
  21. Mon Sep 25 11:23:14 2023 commencing duplicate removal, pass 1
  22. Mon Sep 25 11:25:55 2023 error -1 reading relation 224839903
  23. Mon Sep 25 11:26:23 2023 skipped 593 relations with b > 2^32
  24. Mon Sep 25 11:26:23 2023 found 15381898 hash collisions in 267680953 relations
  25. Mon Sep 25 11:26:30 2023 added 1219077 free relations
  26. Mon Sep 25 11:26:30 2023 commencing duplicate removal, pass 2
  27. Mon Sep 25 11:27:23 2023 found 0 duplicates and 268900030 unique relations
  28. Mon Sep 25 11:27:23 2023 memory use: 852.8 MB
  29. Mon Sep 25 11:27:23 2023 reading ideals above 720000
  30. Mon Sep 25 11:27:23 2023 commencing singleton removal, initial pass
  31. Mon Sep 25 11:35:58 2023 memory use: 6024.0 MB
  32. Mon Sep 25 11:35:58 2023 reading all ideals from disk
  33. Mon Sep 25 11:36:04 2023 memory use: 13455.4 MB
  34. Mon Sep 25 11:36:18 2023 keeping 266918344 ideals with weight <= 200, target excess is 1405759
  35. Mon Sep 25 11:36:35 2023 commencing in-memory singleton removal
  36. Mon Sep 25 11:36:40 2023 begin with 268900030 relations and 266918344 unique ideals
  37. Mon Sep 25 11:37:16 2023 reduce to 167691681 relations and 157642879 ideals in 20 passes
  38. Mon Sep 25 11:37:16 2023 max relations containing the same ideal: 153
  39. Mon Sep 25 11:37:51 2023 removing 10917226 relations and 9917226 ideals in 1000000 cliques
  40. Mon Sep 25 11:37:54 2023 commencing in-memory singleton removal
  41. Mon Sep 25 11:37:57 2023 begin with 156774455 relations and 157642879 unique ideals
  42. Mon Sep 25 11:38:11 2023 reduce to 156106759 relations and 147051594 ideals in 10 passes
  43. Mon Sep 25 11:38:11 2023 max relations containing the same ideal: 146
  44. Mon Sep 25 11:38:42 2023 removing 8046815 relations and 7046815 ideals in 1000000 cliques
  45. Mon Sep 25 11:38:45 2023 commencing in-memory singleton removal
  46. Mon Sep 25 11:38:47 2023 begin with 148059944 relations and 147051594 unique ideals
  47. Mon Sep 25 11:39:02 2023 reduce to 147666179 relations and 139607979 ideals in 11 passes
  48. Mon Sep 25 11:39:02 2023 max relations containing the same ideal: 140
  49. Mon Sep 25 11:39:31 2023 removing 7146965 relations and 6146965 ideals in 1000000 cliques
  50. Mon Sep 25 11:39:34 2023 commencing in-memory singleton removal
  51. Mon Sep 25 11:39:36 2023 begin with 140519214 relations and 139607979 unique ideals
  52. Mon Sep 25 11:39:48 2023 reduce to 140190132 relations and 133129486 ideals in 10 passes
  53. Mon Sep 25 11:39:48 2023 max relations containing the same ideal: 137
  54. Mon Sep 25 11:40:16 2023 removing 6662537 relations and 5662537 ideals in 1000000 cliques
  55. Mon Sep 25 11:40:19 2023 commencing in-memory singleton removal
  56. Mon Sep 25 11:40:21 2023 begin with 133527595 relations and 133129486 unique ideals
  57. Mon Sep 25 11:40:31 2023 reduce to 133226149 relations and 127163298 ideals in 9 passes
  58. Mon Sep 25 11:40:31 2023 max relations containing the same ideal: 132
  59. Mon Sep 25 11:40:58 2023 removing 6354615 relations and 5354615 ideals in 1000000 cliques
  60. Mon Sep 25 11:41:00 2023 commencing in-memory singleton removal
  61. Mon Sep 25 11:41:02 2023 begin with 126871534 relations and 127163298 unique ideals
  62. Mon Sep 25 11:41:13 2023 reduce to 126586087 relations and 121521097 ideals in 9 passes
  63. Mon Sep 25 11:41:13 2023 max relations containing the same ideal: 129
  64. Mon Sep 25 11:41:38 2023 removing 6143974 relations and 5143974 ideals in 1000000 cliques
  65. Mon Sep 25 11:41:40 2023 commencing in-memory singleton removal
  66. Mon Sep 25 11:41:42 2023 begin with 120442113 relations and 121521097 unique ideals
  67. Mon Sep 25 11:41:51 2023 reduce to 120161703 relations and 116094533 ideals in 8 passes
  68. Mon Sep 25 11:41:51 2023 max relations containing the same ideal: 124
  69. Mon Sep 25 11:42:15 2023 removing 5994926 relations and 4994926 ideals in 1000000 cliques
  70. Mon Sep 25 11:42:17 2023 commencing in-memory singleton removal
  71. Mon Sep 25 11:42:19 2023 begin with 114166777 relations and 116094533 unique ideals
  72. Mon Sep 25 11:42:28 2023 reduce to 113885143 relations and 110815729 ideals in 9 passes
  73. Mon Sep 25 11:42:28 2023 max relations containing the same ideal: 121
  74. Mon Sep 25 11:42:51 2023 removing 5888732 relations and 4888732 ideals in 1000000 cliques
  75. Mon Sep 25 11:42:53 2023 commencing in-memory singleton removal
  76. Mon Sep 25 11:42:55 2023 begin with 107996411 relations and 110815729 unique ideals
  77. Mon Sep 25 11:43:05 2023 reduce to 107713470 relations and 105641707 ideals in 11 passes
  78. Mon Sep 25 11:43:05 2023 max relations containing the same ideal: 116
  79. Mon Sep 25 11:43:27 2023 removing 2983723 relations and 2542641 ideals in 441082 cliques
  80. Mon Sep 25 11:43:29 2023 commencing in-memory singleton removal
  81. Mon Sep 25 11:43:30 2023 begin with 104729747 relations and 105641707 unique ideals
  82. Mon Sep 25 11:43:38 2023 reduce to 104657765 relations and 103026796 ideals in 8 passes
  83. Mon Sep 25 11:43:38 2023 max relations containing the same ideal: 112
  84. Mon Sep 25 11:44:08 2023 relations with 0 large ideals: 53811
  85. Mon Sep 25 11:44:08 2023 relations with 1 large ideals: 18262
  86. Mon Sep 25 11:44:08 2023 relations with 2 large ideals: 250973
  87. Mon Sep 25 11:44:08 2023 relations with 3 large ideals: 1803435
  88. Mon Sep 25 11:44:08 2023 relations with 4 large ideals: 7208316
  89. Mon Sep 25 11:44:08 2023 relations with 5 large ideals: 17493683
  90. Mon Sep 25 11:44:08 2023 relations with 6 large ideals: 26792059
  91. Mon Sep 25 11:44:08 2023 relations with 7+ large ideals: 51037226
  92. Mon Sep 25 11:44:08 2023 commencing 2-way merge
  93. Mon Sep 25 11:44:43 2023 reduce to 63935858 relation sets and 62304889 unique ideals
  94. Mon Sep 25 11:44:43 2023 commencing full merge
  95. Mon Sep 25 11:59:18 2023 memory use: 7730.3 MB
  96. Mon Sep 25 11:59:22 2023 found 28940009 cycles, need 28887089
  97. Mon Sep 25 11:59:28 2023 weight of 28887089 cycles is about 3177627023 (110.00/cycle)
  98. Mon Sep 25 11:59:28 2023 distribution of cycle lengths:
  99. Mon Sep 25 11:59:28 2023 1 relations: 2920630
  100. Mon Sep 25 11:59:28 2023 2 relations: 2612512
  101. Mon Sep 25 11:59:28 2023 3 relations: 2492692
  102. Mon Sep 25 11:59:28 2023 4 relations: 2314337
  103. Mon Sep 25 11:59:28 2023 5 relations: 2161527
  104. Mon Sep 25 11:59:28 2023 6 relations: 1946697
  105. Mon Sep 25 11:59:28 2023 7 relations: 1809144
  106. Mon Sep 25 11:59:28 2023 8 relations: 1629261
  107. Mon Sep 25 11:59:28 2023 9 relations: 1458758
  108. Mon Sep 25 11:59:28 2023 10+ relations: 9541531
  109. Mon Sep 25 11:59:28 2023 heaviest cycle: 28 relations
  110. Mon Sep 25 11:59:31 2023 commencing cycle optimization
  111. Mon Sep 25 12:00:09 2023 start with 226866794 relations
  112. Mon Sep 25 12:04:45 2023 pruned 7304627 relations
  113. Mon Sep 25 12:04:46 2023 memory use: 6592.9 MB
  114. Mon Sep 25 12:04:47 2023 distribution of cycle lengths:
  115. Mon Sep 25 12:04:47 2023 1 relations: 2920630
  116. Mon Sep 25 12:04:47 2023 2 relations: 2672724
  117. Mon Sep 25 12:04:47 2023 3 relations: 2586656
  118. Mon Sep 25 12:04:47 2023 4 relations: 2384378
  119. Mon Sep 25 12:04:47 2023 5 relations: 2232951
  120. Mon Sep 25 12:04:47 2023 6 relations: 1998597
  121. Mon Sep 25 12:04:47 2023 7 relations: 1855151
  122. Mon Sep 25 12:04:47 2023 8 relations: 1657067
  123. Mon Sep 25 12:04:47 2023 9 relations: 1481884
  124. Mon Sep 25 12:04:47 2023 10+ relations: 9097051
  125. Mon Sep 25 12:04:47 2023 heaviest cycle: 28 relations
  126. Mon Sep 25 12:05:18 2023 RelProcTime: 2524
  127. Mon Sep 25 12:05:18 2023 elapsed time 00:42:04
  128. Mon Sep 25 12:07:36 2023
  129. Mon Sep 25 12:07:36 2023
  130. Mon Sep 25 12:07:36 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  131. Mon Sep 25 12:07:36 2023 random seeds: b52a06a2 2f41d19b
  132. Mon Sep 25 12:07:36 2023 MPI process 0 of 2
  133. Mon Sep 25 12:07:36 2023 Using 8 OpenMP threads
  134. Mon Sep 25 12:07:36 2023 factoring 99974434667007249798134702572866578794181218943721666939545420064833332873349028883732236144892617071172359390077272863933769867601939320605844489267889617708705887387692561452489536688074454606009500786311805567602550967728296921905841 (236 digits)
  135. Mon Sep 25 12:07:37 2023 no P-1/P+1/ECM available, skipping
  136. Mon Sep 25 12:07:37 2023 commencing number field sieve (236-digit input)
  137. Mon Sep 25 12:07:37 2023 R0: 2854495385411919762116571938898990272765493248
  138. Mon Sep 25 12:07:37 2023 R1: -1798465042647412146620280340569649349251249
  139. Mon Sep 25 12:07:37 2023 A0: 49
  140. Mon Sep 25 12:07:37 2023 A1: 0
  141. Mon Sep 25 12:07:37 2023 A2: 0
  142. Mon Sep 25 12:07:37 2023 A3: 0
  143. Mon Sep 25 12:07:37 2023 A4: 0
  144. Mon Sep 25 12:07:37 2023 A5: 0
  145. Mon Sep 25 12:07:37 2023 A6: 1
  146. Mon Sep 25 12:07:37 2023 skew 1.91, size 1.734e-13, alpha 1.380, combined = 3.112e-14 rroots = 0
  147. Mon Sep 25 12:07:37 2023
  148. Mon Sep 25 12:07:37 2023 commencing linear algebra
  149. Mon Sep 25 12:07:37 2023 using VBITS=256
  150. Mon Sep 25 12:07:37 2023 initialized process (0,0) of 1 x 2 grid
  151. Mon Sep 25 12:07:38 2023 read 28887089 cycles
  152. Mon Sep 25 12:08:14 2023 cycles contain 103395440 unique relations
  153. Mon Sep 25 12:09:34 2023 read 103395440 relations
  154. Mon Sep 25 12:09:57 2023 using 20 quadratic characters above 4294917295
  155. Mon Sep 25 12:10:34 2023 building initial matrix
  156. Mon Sep 25 12:23:24 2023 memory use: 12973.3 MB
  157. Mon Sep 25 12:23:39 2023 read 28887089 cycles
  158. Mon Sep 25 12:23:43 2023 matrix is 28886912 x 28887089 (12693.8 MB) with weight 3603883459 (124.76/col)
  159. Mon Sep 25 12:23:43 2023 sparse part has weight 3009834411 (104.19/col)
  160. Mon Sep 25 12:28:58 2023 filtering completed in 2 passes
  161. Mon Sep 25 12:29:04 2023 matrix is 28884099 x 28884269 (12693.5 MB) with weight 3603795503 (124.77/col)
  162. Mon Sep 25 12:29:04 2023 sparse part has weight 3009807573 (104.20/col)
  163. Mon Sep 25 12:30:20 2023 matrix starts at (0, 0)
  164. Mon Sep 25 12:30:22 2023 matrix is 28884099 x 14442163 (6346.8 MB) with weight 1801897346 (124.77/col)
  165. Mon Sep 25 12:30:22 2023 sparse part has weight 1504903896 (104.20/col)
  166. Mon Sep 25 12:30:22 2023 saving the first 240 matrix rows for later
  167. Mon Sep 25 12:30:26 2023 matrix includes 256 packed rows
  168. Mon Sep 25 12:30:32 2023 matrix is 28883859 x 14442163 (5873.8 MB) with weight 1376371299 (95.30/col)
  169. Mon Sep 25 12:30:32 2023 sparse part has weight 1308697179 (90.62/col)
  170. Mon Sep 25 12:30:32 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  171. Mon Sep 25 12:30:32 2023 selected card has CUDA arch 8.6
  172. Mon Sep 25 12:32:14 2023 commencing Lanczos iteration
  173. Mon Sep 25 12:32:17 2023 memory use: 14998.0 MB
  174. Mon Sep 25 12:33:09 2023 linear algebra at 0.1%, ETA 13h20m
  175. Mon Sep 25 12:34:25 2023 checking every 30000 dimensions, checkpointing every 2190000 dimensions
  176. Tue Sep 26 01:42:42 2023 lanczos halted after 113169 iterations (dim = 28883855)
  177. Tue Sep 26 01:44:56 2023 recovered 35 nontrivial dependencies
  178. Tue Sep 26 01:44:57 2023 BLanczosTime: 49040
  179. Tue Sep 26 01:44:57 2023 elapsed time 13:37:21
  180. Tue Sep 26 01:44:57 2023
  181. Tue Sep 26 01:44:57 2023
  182. Tue Sep 26 01:44:57 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  183. Tue Sep 26 01:44:57 2023 random seeds: a154f0e2 2871e87e
  184. Tue Sep 26 01:44:57 2023 Using 16 OpenMP threads
  185. Tue Sep 26 01:44:57 2023 factoring 99974434667007249798134702572866578794181218943721666939545420064833332873349028883732236144892617071172359390077272863933769867601939320605844489267889617708705887387692561452489536688074454606009500786311805567602550967728296921905841 (236 digits)
  186. Tue Sep 26 01:44:58 2023 no P-1/P+1/ECM available, skipping
  187. Tue Sep 26 01:44:58 2023 commencing number field sieve (236-digit input)
  188. Tue Sep 26 01:44:58 2023 R0: 2854495385411919762116571938898990272765493248
  189. Tue Sep 26 01:44:58 2023 R1: -1798465042647412146620280340569649349251249
  190. Tue Sep 26 01:44:58 2023 A0: 49
  191. Tue Sep 26 01:44:58 2023 A1: 0
  192. Tue Sep 26 01:44:58 2023 A2: 0
  193. Tue Sep 26 01:44:58 2023 A3: 0
  194. Tue Sep 26 01:44:58 2023 A4: 0
  195. Tue Sep 26 01:44:58 2023 A5: 0
  196. Tue Sep 26 01:44:58 2023 A6: 1
  197. Tue Sep 26 01:44:58 2023 skew 1.91, size 1.734e-13, alpha 1.380, combined = 3.112e-14 rroots = 0
  198. Tue Sep 26 01:44:58 2023
  199. Tue Sep 26 01:44:58 2023 commencing square root phase
  200. Tue Sep 26 01:44:58 2023 reading relations for dependency 1
  201. Tue Sep 26 01:45:01 2023 read 14442634 cycles
  202. Tue Sep 26 01:45:35 2023 cycles contain 51696078 unique relations
  203. Tue Sep 26 01:47:51 2023 read 51696078 relations
  204. Tue Sep 26 01:52:15 2023 multiplying 51696078 relations
  205. Tue Sep 26 01:58:58 2023 multiply complete, coefficients have about 1383.84 million bits
  206. Tue Sep 26 01:59:01 2023 initial square root is modulo 1612747
  207. Tue Sep 26 02:12:13 2023 GCD is N, no factor found
  208. Tue Sep 26 02:12:13 2023 reading relations for dependency 2
  209. Tue Sep 26 02:12:16 2023 read 14441519 cycles
  210. Tue Sep 26 02:12:50 2023 cycles contain 51700262 unique relations
  211. Tue Sep 26 02:15:11 2023 read 51700262 relations
  212. Tue Sep 26 02:19:24 2023 multiplying 51700262 relations
  213. Tue Sep 26 02:25:51 2023 multiply complete, coefficients have about 1383.95 million bits
  214. Tue Sep 26 02:25:54 2023 initial square root is modulo 1614583
  215. Tue Sep 26 02:39:10 2023 GCD is 1, no factor found
  216. Tue Sep 26 02:39:10 2023 reading relations for dependency 3
  217. Tue Sep 26 02:39:12 2023 read 14442404 cycles
  218. Tue Sep 26 02:39:46 2023 cycles contain 51702196 unique relations
  219. Tue Sep 26 02:42:03 2023 read 51702196 relations
  220. Tue Sep 26 02:46:24 2023 multiplying 51702196 relations
  221. Tue Sep 26 02:52:55 2023 multiply complete, coefficients have about 1384.01 million bits
  222. Tue Sep 26 02:52:58 2023 initial square root is modulo 1615447
  223. Tue Sep 26 03:06:03 2023 sqrtTime: 4865
  224. Tue Sep 26 03:06:03 2023 p118 factor: 1636472169212038797324249350251002511961199854093118337943977086078085376878570494912332439290976194522865345290911397
  225. Tue Sep 26 03:06:03 2023 p119 factor: 61091435924110418035453243221741837944573247824412730986058812952778250124136276287591539449198709853317631423892519453
  226. Tue Sep 26 03:06:03 2023 elapsed time 01:21:06
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