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gchilders
May 9th, 2025
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  1. Thu May 8 16:15:00 2025
  2. Thu May 8 16:15:00 2025
  3. Thu May 8 16:15:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 8 16:15:00 2025 random seeds: 3b5a6dd3 10d2090b
  5. Thu May 8 16:15:00 2025 MPI process 0 of 1
  6. Thu May 8 16:15:00 2025 Using 64 OpenMP threads
  7. Thu May 8 16:15:00 2025 factoring 6131640377313042154354051941181114934257591802070345410718684726196980041117114688987482454327273453430135722436063953708065945181084171122050665732091119223549965318041221895736073681 (184 digits)
  8. Thu May 8 16:15:01 2025 no P-1/P+1/ECM available, skipping
  9. Thu May 8 16:15:01 2025 commencing number field sieve (184-digit input)
  10. Thu May 8 16:15:01 2025 R0: -445936694784433160368680609089433328
  11. Thu May 8 16:15:01 2025 R1: 51918823730513041908049
  12. Thu May 8 16:15:01 2025 A0: 2934994269550664011555059945115515561140850
  13. Thu May 8 16:15:01 2025 A1: -1583957785602000893709846122225310945
  14. Thu May 8 16:15:01 2025 A2: -396660077655375820574420145514
  15. Thu May 8 16:15:01 2025 A3: 1781876664668413566583
  16. Thu May 8 16:15:01 2025 A4: 81579606937670
  17. Thu May 8 16:15:01 2025 A5: 695400
  18. Thu May 8 16:15:01 2025 skew 43101000.20, size 6.402e-18, alpha -7.350, combined = 5.501e-14 rroots = 3
  19. Thu May 8 16:15:01 2025
  20. Thu May 8 16:15:01 2025 commencing relation filtering
  21. Thu May 8 16:15:01 2025 setting target matrix density to 110.0
  22. Thu May 8 16:15:01 2025 estimated available RAM is 1031760.2 MB
  23. Thu May 8 16:15:01 2025 commencing duplicate removal, pass 1
  24. Thu May 8 16:15:30 2025 error -1 reading relation 77272616
  25. Thu May 8 16:15:43 2025 error -1 reading relation 109512113
  26. Thu May 8 16:15:44 2025 error -11 reading relation 110657328
  27. Thu May 8 16:16:15 2025 error -1 reading relation 186447082
  28. Thu May 8 16:16:15 2025 error -11 reading relation 186448341
  29. Thu May 8 16:16:17 2025 error -5 reading relation 190204879
  30. Thu May 8 16:16:17 2025 error -6 reading relation 190205682
  31. Thu May 8 16:16:17 2025 error -1 reading relation 190215687
  32. Thu May 8 16:16:33 2025 error -1 reading relation 231658040
  33. Thu May 8 16:16:46 2025 error -1 reading relation 265316270
  34. Thu May 8 16:16:56 2025 error -11 reading relation 292769843
  35. Thu May 8 16:17:11 2025 error -1 reading relation 330397296
  36. Thu May 8 16:17:15 2025 skipped 1 relations with b > 2^32
  37. Thu May 8 16:17:15 2025 skipped 453 malformed relations
  38. Thu May 8 16:17:15 2025 found 12891739 hash collisions in 341614193 relations
  39. Thu May 8 16:17:32 2025 added 122274 free relations
  40. Thu May 8 16:17:32 2025 commencing duplicate removal, pass 2
  41. Thu May 8 16:18:24 2025 found 0 duplicates and 341736467 unique relations
  42. Thu May 8 16:18:24 2025 memory use: 1044.8 MB
  43. Thu May 8 16:18:24 2025 reading ideals above 720000
  44. Thu May 8 16:18:24 2025 commencing singleton removal, initial pass
  45. Thu May 8 16:25:16 2025 memory use: 11024.0 MB
  46. Thu May 8 16:25:16 2025 reading all ideals from disk
  47. Thu May 8 16:25:20 2025 memory use: 16833.4 MB
  48. Thu May 8 16:25:34 2025 keeping 331546735 ideals with weight <= 200, target excess is 1717179
  49. Thu May 8 16:25:56 2025 commencing in-memory singleton removal
  50. Thu May 8 16:25:57 2025 begin with 341736467 relations and 331546735 unique ideals
  51. Thu May 8 16:26:05 2025 reduce to 203438313 relations and 177523781 ideals in 16 passes
  52. Thu May 8 16:26:05 2025 max relations containing the same ideal: 152
  53. Thu May 8 16:26:38 2025 removing 14912013 relations and 12912013 ideals in 2000000 cliques
  54. Thu May 8 16:26:43 2025 commencing in-memory singleton removal
  55. Thu May 8 16:26:43 2025 begin with 188526300 relations and 177523781 unique ideals
  56. Thu May 8 16:26:46 2025 reduce to 187612058 relations and 163685013 ideals in 9 passes
  57. Thu May 8 16:26:46 2025 max relations containing the same ideal: 142
  58. Thu May 8 16:27:16 2025 removing 11200778 relations and 9200778 ideals in 2000000 cliques
  59. Thu May 8 16:27:21 2025 commencing in-memory singleton removal
  60. Thu May 8 16:27:21 2025 begin with 176411280 relations and 163685013 unique ideals
  61. Thu May 8 16:27:24 2025 reduce to 175833999 relations and 153900308 ideals in 9 passes
  62. Thu May 8 16:27:24 2025 max relations containing the same ideal: 137
  63. Thu May 8 16:27:53 2025 removing 10067121 relations and 8067121 ideals in 2000000 cliques
  64. Thu May 8 16:27:57 2025 commencing in-memory singleton removal
  65. Thu May 8 16:27:57 2025 begin with 165766878 relations and 153900308 unique ideals
  66. Thu May 8 16:28:00 2025 reduce to 165266154 relations and 145326767 ideals in 8 passes
  67. Thu May 8 16:28:00 2025 max relations containing the same ideal: 134
  68. Thu May 8 16:28:27 2025 removing 9469577 relations and 7469577 ideals in 2000000 cliques
  69. Thu May 8 16:28:31 2025 commencing in-memory singleton removal
  70. Thu May 8 16:28:31 2025 begin with 155796577 relations and 145326767 unique ideals
  71. Thu May 8 16:28:33 2025 reduce to 155326350 relations and 137381619 ideals in 8 passes
  72. Thu May 8 16:28:33 2025 max relations containing the same ideal: 126
  73. Thu May 8 16:28:59 2025 removing 9106285 relations and 7106285 ideals in 2000000 cliques
  74. Thu May 8 16:29:03 2025 commencing in-memory singleton removal
  75. Thu May 8 16:29:03 2025 begin with 146220065 relations and 137381619 unique ideals
  76. Thu May 8 16:29:05 2025 reduce to 145758183 relations and 129807891 ideals in 8 passes
  77. Thu May 8 16:29:05 2025 max relations containing the same ideal: 124
  78. Thu May 8 16:29:30 2025 removing 8863990 relations and 6863990 ideals in 2000000 cliques
  79. Thu May 8 16:29:33 2025 commencing in-memory singleton removal
  80. Thu May 8 16:29:34 2025 begin with 136894193 relations and 129807891 unique ideals
  81. Thu May 8 16:29:36 2025 reduce to 136426659 relations and 122470424 ideals in 8 passes
  82. Thu May 8 16:29:36 2025 max relations containing the same ideal: 122
  83. Thu May 8 16:29:59 2025 removing 8713111 relations and 6713111 ideals in 2000000 cliques
  84. Thu May 8 16:30:02 2025 commencing in-memory singleton removal
  85. Thu May 8 16:30:03 2025 begin with 127713548 relations and 122470424 unique ideals
  86. Thu May 8 16:30:05 2025 reduce to 127233635 relations and 115271142 ideals in 8 passes
  87. Thu May 8 16:30:05 2025 max relations containing the same ideal: 113
  88. Thu May 8 16:30:27 2025 removing 8627822 relations and 6627822 ideals in 2000000 cliques
  89. Thu May 8 16:30:30 2025 commencing in-memory singleton removal
  90. Thu May 8 16:30:30 2025 begin with 118605813 relations and 115271142 unique ideals
  91. Thu May 8 16:30:32 2025 reduce to 118101666 relations and 108132298 ideals in 9 passes
  92. Thu May 8 16:30:32 2025 max relations containing the same ideal: 108
  93. Thu May 8 16:30:53 2025 removing 8592146 relations and 6592146 ideals in 2000000 cliques
  94. Thu May 8 16:30:56 2025 commencing in-memory singleton removal
  95. Thu May 8 16:30:56 2025 begin with 109509520 relations and 108132298 unique ideals
  96. Thu May 8 16:30:58 2025 reduce to 108968437 relations and 100991052 ideals in 9 passes
  97. Thu May 8 16:30:58 2025 max relations containing the same ideal: 99
  98. Thu May 8 16:31:17 2025 removing 8603746 relations and 6603746 ideals in 2000000 cliques
  99. Thu May 8 16:31:20 2025 commencing in-memory singleton removal
  100. Thu May 8 16:31:20 2025 begin with 100364691 relations and 100991052 unique ideals
  101. Thu May 8 16:31:22 2025 reduce to 99772465 relations and 93785666 ideals in 8 passes
  102. Thu May 8 16:31:22 2025 max relations containing the same ideal: 94
  103. Thu May 8 16:31:39 2025 removing 8672682 relations and 6672682 ideals in 2000000 cliques
  104. Thu May 8 16:31:42 2025 commencing in-memory singleton removal
  105. Thu May 8 16:31:42 2025 begin with 91099783 relations and 93785666 unique ideals
  106. Thu May 8 16:31:44 2025 reduce to 90435620 relations and 86437414 ideals in 10 passes
  107. Thu May 8 16:31:44 2025 max relations containing the same ideal: 88
  108. Thu May 8 16:32:00 2025 removing 8788709 relations and 6788709 ideals in 2000000 cliques
  109. Thu May 8 16:32:03 2025 commencing in-memory singleton removal
  110. Thu May 8 16:32:03 2025 begin with 81646911 relations and 86437414 unique ideals
  111. Thu May 8 16:32:05 2025 reduce to 80883251 relations and 78870715 ideals in 10 passes
  112. Thu May 8 16:32:05 2025 max relations containing the same ideal: 80
  113. Thu May 8 16:32:20 2025 removing 197847 relations and 177239 ideals in 20608 cliques
  114. Thu May 8 16:32:21 2025 commencing in-memory singleton removal
  115. Thu May 8 16:32:21 2025 begin with 80685404 relations and 78870715 unique ideals
  116. Thu May 8 16:32:22 2025 reduce to 80685076 relations and 78693148 ideals in 5 passes
  117. Thu May 8 16:32:22 2025 max relations containing the same ideal: 80
  118. Thu May 8 16:32:30 2025 relations with 0 large ideals: 6004
  119. Thu May 8 16:32:30 2025 relations with 1 large ideals: 33630
  120. Thu May 8 16:32:30 2025 relations with 2 large ideals: 465141
  121. Thu May 8 16:32:30 2025 relations with 3 large ideals: 2822935
  122. Thu May 8 16:32:30 2025 relations with 4 large ideals: 9307458
  123. Thu May 8 16:32:30 2025 relations with 5 large ideals: 18283139
  124. Thu May 8 16:32:30 2025 relations with 6 large ideals: 22362658
  125. Thu May 8 16:32:30 2025 relations with 7+ large ideals: 27404111
  126. Thu May 8 16:32:30 2025 commencing 2-way merge
  127. Thu May 8 16:32:55 2025 reduce to 49787989 relation sets and 47796061 unique ideals
  128. Thu May 8 16:32:55 2025 commencing full merge
  129. Thu May 8 16:40:53 2025 memory use: 5536.9 MB
  130. Thu May 8 16:40:56 2025 found 22552325 cycles, need 22362261
  131. Thu May 8 16:41:01 2025 weight of 22362261 cycles is about 2459885184 (110.00/cycle)
  132. Thu May 8 16:41:01 2025 distribution of cycle lengths:
  133. Thu May 8 16:41:01 2025 1 relations: 2045041
  134. Thu May 8 16:41:01 2025 2 relations: 1811033
  135. Thu May 8 16:41:01 2025 3 relations: 1829232
  136. Thu May 8 16:41:01 2025 4 relations: 1771394
  137. Thu May 8 16:41:01 2025 5 relations: 1747750
  138. Thu May 8 16:41:01 2025 6 relations: 1638340
  139. Thu May 8 16:41:01 2025 7 relations: 1576413
  140. Thu May 8 16:41:01 2025 8 relations: 1457908
  141. Thu May 8 16:41:01 2025 9 relations: 1327720
  142. Thu May 8 16:41:01 2025 10+ relations: 7157430
  143. Thu May 8 16:41:01 2025 heaviest cycle: 27 relations
  144. Thu May 8 16:41:04 2025 commencing cycle optimization
  145. Thu May 8 16:41:27 2025 start with 170507418 relations
  146. Thu May 8 16:44:18 2025 pruned 5942009 relations
  147. Thu May 8 16:44:20 2025 memory use: 5021.3 MB
  148. Thu May 8 16:44:20 2025 distribution of cycle lengths:
  149. Thu May 8 16:44:20 2025 1 relations: 2045041
  150. Thu May 8 16:44:20 2025 2 relations: 1859378
  151. Thu May 8 16:44:20 2025 3 relations: 1902916
  152. Thu May 8 16:44:20 2025 4 relations: 1833077
  153. Thu May 8 16:44:20 2025 5 relations: 1814266
  154. Thu May 8 16:44:20 2025 6 relations: 1695202
  155. Thu May 8 16:44:20 2025 7 relations: 1628858
  156. Thu May 8 16:44:20 2025 8 relations: 1496987
  157. Thu May 8 16:44:20 2025 9 relations: 1358695
  158. Thu May 8 16:44:20 2025 10+ relations: 6727841
  159. Thu May 8 16:44:20 2025 heaviest cycle: 27 relations
  160. Thu May 8 16:44:36 2025 RelProcTime: 1775
  161. Thu May 8 16:44:38 2025 elapsed time 00:29:38
  162. Thu May 8 16:44:45 2025
  163. Thu May 8 16:44:45 2025
  164. Thu May 8 16:44:45 2025 Msieve v. 1.54 (SVN unknown)
  165. Thu May 8 16:44:45 2025 random seeds: ec5f03d5 6a45366a
  166. Thu May 8 16:44:45 2025 MPI process 0 of 4
  167. Thu May 8 16:44:45 2025 Using 20 OpenMP threads
  168. Thu May 8 16:44:45 2025 factoring 6131640377313042154354051941181114934257591802070345410718684726196980041117114688987482454327273453430135722436063953708065945181084171122050665732091119223549965318041221895736073681 (184 digits)
  169. Thu May 8 16:44:46 2025 no P-1/P+1/ECM available, skipping
  170. Thu May 8 16:44:46 2025 commencing number field sieve (184-digit input)
  171. Thu May 8 16:44:46 2025 R0: -445936694784433160368680609089433328
  172. Thu May 8 16:44:46 2025 R1: 51918823730513041908049
  173. Thu May 8 16:44:46 2025 A0: 2934994269550664011555059945115515561140850
  174. Thu May 8 16:44:46 2025 A1: -1583957785602000893709846122225310945
  175. Thu May 8 16:44:46 2025 A2: -396660077655375820574420145514
  176. Thu May 8 16:44:46 2025 A3: 1781876664668413566583
  177. Thu May 8 16:44:46 2025 A4: 81579606937670
  178. Thu May 8 16:44:46 2025 A5: 695400
  179. Thu May 8 16:44:46 2025 skew 43101000.20, size 6.402e-18, alpha -7.350, combined = 5.501e-14 rroots = 3
  180. Thu May 8 16:44:46 2025
  181. Thu May 8 16:44:46 2025 commencing linear algebra
  182. Thu May 8 16:44:46 2025 using VBITS=256
  183. Thu May 8 16:44:46 2025 initialized process (0,0) of 2 x 2 grid
  184. Thu May 8 16:44:47 2025 read 22362261 cycles
  185. Thu May 8 16:45:11 2025 cycles contain 79255750 unique relations
  186. Thu May 8 16:45:40 2025 read 79255750 relations
  187. Thu May 8 16:45:48 2025 using 20 quadratic characters above 4294917295
  188. Thu May 8 16:46:01 2025 building initial matrix
  189. Thu May 8 16:55:38 2025 memory use: 10964.8 MB
  190. Thu May 8 16:55:51 2025 read 22362261 cycles
  191. Thu May 8 16:55:52 2025 matrix is 22362077 x 22362261 (9858.6 MB) with weight 2977053965 (133.13/col)
  192. Thu May 8 16:55:52 2025 sparse part has weight 2316034626 (103.57/col)
  193. Thu May 8 16:58:52 2025 filtering completed in 2 passes
  194. Thu May 8 16:58:55 2025 matrix is 22356704 x 22356883 (9858.1 MB) with weight 2976811663 (133.15/col)
  195. Thu May 8 16:58:55 2025 sparse part has weight 2315957688 (103.59/col)
  196. Thu May 8 16:59:28 2025 matrix starts at (0, 0)
  197. Thu May 8 16:59:29 2025 matrix is 11178472 x 11178404 (2907.5 MB) with weight 958478467 (85.74/col)
  198. Thu May 8 16:59:29 2025 sparse part has weight 628055904 (56.18/col)
  199. Thu May 8 16:59:29 2025 saving the first 240 matrix rows for later
  200. Thu May 8 16:59:30 2025 matrix includes 256 packed rows
  201. Thu May 8 16:59:32 2025 matrix is 11178232 x 11178404 (2520.6 MB) with weight 530121479 (47.42/col)
  202. Thu May 8 16:59:32 2025 sparse part has weight 481903207 (43.11/col)
  203. Thu May 8 16:59:32 2025 using GPU 0 (NVIDIA H200)
  204. Thu May 8 16:59:32 2025 selected card has CUDA arch 9.0
  205. Thu May 8 17:00:02 2025 commencing Lanczos iteration
  206. Thu May 8 17:00:02 2025 memory use: 5808.7 MB
  207. Thu May 8 17:00:10 2025 linear algebra at 0.1%, ETA 1h25m
  208. Thu May 8 17:00:19 2025 checking every 280000 dimensions, checkpointing every 17360000 dimensions
  209. Thu May 8 18:14:46 2025 lanczos halted after 87594 iterations (dim = 22356462)
  210. Thu May 8 18:16:02 2025 recovered 31 nontrivial dependencies
  211. Thu May 8 18:16:03 2025 BLanczosTime: 5477
  212. Thu May 8 18:16:03 2025 elapsed time 01:31:18
  213. Thu May 8 21:52:12 2025
  214. Thu May 8 21:52:12 2025
  215. Thu May 8 21:52:12 2025 Msieve v. 1.54 (SVN Unversioned directory)
  216. Thu May 8 21:52:12 2025 random seeds: 18531f2b 4485eb17
  217. Thu May 8 21:52:12 2025 MPI process 0 of 1
  218. Thu May 8 21:52:12 2025 Using 64 OpenMP threads
  219. Thu May 8 21:52:12 2025 factoring 6131640377313042154354051941181114934257591802070345410718684726196980041117114688987482454327273453430135722436063953708065945181084171122050665732091119223549965318041221895736073681 (184 digits)
  220. Thu May 8 21:52:13 2025 no P-1/P+1/ECM available, skipping
  221. Thu May 8 21:52:13 2025 commencing number field sieve (184-digit input)
  222. Thu May 8 21:52:13 2025 R0: -445936694784433160368680609089433328
  223. Thu May 8 21:52:13 2025 R1: 51918823730513041908049
  224. Thu May 8 21:52:13 2025 A0: 2934994269550664011555059945115515561140850
  225. Thu May 8 21:52:13 2025 A1: -1583957785602000893709846122225310945
  226. Thu May 8 21:52:13 2025 A2: -396660077655375820574420145514
  227. Thu May 8 21:52:13 2025 A3: 1781876664668413566583
  228. Thu May 8 21:52:13 2025 A4: 81579606937670
  229. Thu May 8 21:52:13 2025 A5: 695400
  230. Thu May 8 21:52:13 2025 skew 43101000.20, size 6.402e-18, alpha -7.350, combined = 5.501e-14 rroots = 3
  231. Thu May 8 21:52:13 2025
  232. Thu May 8 21:52:13 2025 commencing square root phase
  233. Thu May 8 21:52:13 2025 reading relations for dependency 1
  234. Thu May 8 21:52:14 2025 read 11181745 cycles
  235. Thu May 8 21:52:27 2025 cycles contain 39636904 unique relations
  236. Thu May 8 21:52:43 2025 read 39636904 relations
  237. Thu May 8 21:54:17 2025 multiplying 39636904 relations
  238. Thu May 8 21:56:52 2025 multiply complete, coefficients have about 2336.16 million bits
  239. Thu May 8 21:56:56 2025 initial square root is modulo 173777
  240. Thu May 8 22:05:38 2025 GCD is N, no factor found
  241. Thu May 8 22:05:38 2025 reading relations for dependency 2
  242. Thu May 8 22:05:39 2025 read 11179667 cycles
  243. Thu May 8 22:05:53 2025 cycles contain 39629906 unique relations
  244. Thu May 8 22:06:09 2025 read 39629906 relations
  245. Thu May 8 22:07:44 2025 multiplying 39629906 relations
  246. Thu May 8 22:10:09 2025 multiply complete, coefficients have about 2335.77 million bits
  247. Thu May 8 22:10:13 2025 initial square root is modulo 173483
  248. Thu May 8 22:18:42 2025 sqrtTime: 1589
  249. Thu May 8 22:18:42 2025 p78 factor: 854867778490982860923940944970058808405000768182232596069691948991295961200011
  250. Thu May 8 22:18:42 2025 p106 factor: 7172618423093038185219874041351944215243740803502502667330335939419939570438331267840796476892745255533971
  251. Thu May 8 22:18:42 2025 elapsed time 00:26:30
  252.  
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