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Jul 13th, 2024
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  1. Fri Jul 12 00:54:53 2024
  2. Fri Jul 12 00:54:53 2024
  3. Fri Jul 12 00:54:53 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Jul 12 00:54:53 2024 random seeds: e866da52 5add0b15
  5. Fri Jul 12 00:54:53 2024 MPI process 0 of 1
  6. Fri Jul 12 00:54:53 2024 Using 32 OpenMP threads
  7. Fri Jul 12 00:54:53 2024 factoring 4127887645864126822071635802971653172699729834737766961250301759376061206705819839204900337759320592497625505476456649642861440030463227841104415713906662253458804507118209 (172 digits)
  8. Fri Jul 12 00:54:54 2024 searching for 15-digit factors
  9. Fri Jul 12 00:54:54 2024 commencing number field sieve (172-digit input)
  10. Fri Jul 12 00:54:54 2024 R0: -3342093192477394992746077396647679
  11. Fri Jul 12 00:54:54 2024 R1: 695386372952878451
  12. Fri Jul 12 00:54:54 2024 A0: -316479005093140640565903276836480994965760
  13. Fri Jul 12 00:54:54 2024 A1: 16271204983699831778655136747350696
  14. Fri Jul 12 00:54:54 2024 A2: 19256650129302270576668111903
  15. Fri Jul 12 00:54:54 2024 A3: 424771816876502497366
  16. Fri Jul 12 00:54:54 2024 A4: -11564460979902
  17. Fri Jul 12 00:54:54 2024 A5: 9900
  18. Fri Jul 12 00:54:54 2024 skew 40486995.20, size 8.817e-17, alpha -7.142, combined = 2.620e-13 rroots = 5
  19. Fri Jul 12 00:54:54 2024
  20. Fri Jul 12 00:54:54 2024 commencing relation filtering
  21. Fri Jul 12 00:54:54 2024 setting target matrix density to 140.0
  22. Fri Jul 12 00:54:54 2024 estimated available RAM is 257736.5 MB
  23. Fri Jul 12 00:54:54 2024 commencing duplicate removal, pass 1
  24. Fri Jul 12 00:56:00 2024 error -1 reading relation 21591257
  25. Fri Jul 12 00:56:44 2024 error -1 reading relation 41303048
  26. Fri Jul 12 00:56:44 2024 error -1 reading relation 41431773
  27. Fri Jul 12 00:56:59 2024 error -1 reading relation 51105345
  28. Fri Jul 12 00:56:59 2024 error -1 reading relation 51108803
  29. Fri Jul 12 00:57:02 2024 error -1 reading relation 52917421
  30. Fri Jul 12 00:57:11 2024 error -1 reading relation 57552078
  31. Fri Jul 12 00:57:14 2024 error -1 reading relation 59269104
  32. Fri Jul 12 00:57:25 2024 error -15 reading relation 64497950
  33. Fri Jul 12 00:57:27 2024 error -1 reading relation 65499902
  34. Fri Jul 12 00:58:05 2024 error -1 reading relation 79301257
  35. Fri Jul 12 00:58:10 2024 error -1 reading relation 83030554
  36. Fri Jul 12 00:58:20 2024 error -1 reading relation 88447050
  37. Fri Jul 12 00:58:49 2024 error -1 reading relation 98996153
  38. Fri Jul 12 00:58:49 2024 error -1 reading relation 99007231
  39. Fri Jul 12 00:58:49 2024 error -1 reading relation 99061088
  40. Fri Jul 12 00:58:55 2024 error -1 reading relation 100783340
  41. Fri Jul 12 00:58:55 2024 error -1 reading relation 100864472
  42. Fri Jul 12 00:59:01 2024 error -1 reading relation 102678101
  43. Fri Jul 12 00:59:13 2024 error -1 reading relation 106724890
  44. Fri Jul 12 00:59:28 2024 error -1 reading relation 111663250
  45. Fri Jul 12 00:59:29 2024 error -1 reading relation 111899662
  46. Fri Jul 12 01:00:08 2024 error -1 reading relation 127193739
  47. Fri Jul 12 01:00:11 2024 error -1 reading relation 129232194
  48. Fri Jul 12 01:00:18 2024 error -1 reading relation 133900604
  49. Fri Jul 12 01:00:21 2024 error -1 reading relation 136147311
  50. Fri Jul 12 01:00:43 2024 error -1 reading relation 148329365
  51. Fri Jul 12 01:00:45 2024 error -1 reading relation 149380673
  52. Fri Jul 12 01:01:07 2024 error -1 reading relation 160285819
  53. Fri Jul 12 01:01:22 2024 error -1 reading relation 166052243
  54. Fri Jul 12 01:01:23 2024 error -1 reading relation 166639444
  55. Fri Jul 12 01:01:27 2024 error -1 reading relation 168838959
  56. Fri Jul 12 01:01:30 2024 error -1 reading relation 170557723
  57. Fri Jul 12 01:01:32 2024 error -1 reading relation 171999212
  58. Fri Jul 12 01:01:34 2024 skipped 242 malformed relations
  59. Fri Jul 12 01:01:34 2024 found 42883056 hash collisions in 173002332 relations
  60. Fri Jul 12 01:02:04 2024 commencing duplicate removal, pass 2
  61. Fri Jul 12 01:06:01 2024 found 49071592 duplicates and 123930740 unique relations
  62. Fri Jul 12 01:06:01 2024 memory use: 1321.5 MB
  63. Fri Jul 12 01:06:01 2024 reading ideals above 720000
  64. Fri Jul 12 01:06:02 2024 commencing singleton removal, initial pass
  65. Fri Jul 12 01:16:47 2024 memory use: 2756.0 MB
  66. Fri Jul 12 01:16:47 2024 reading all ideals from disk
  67. Fri Jul 12 01:16:50 2024 memory use: 5844.4 MB
  68. Fri Jul 12 01:17:05 2024 keeping 97726130 ideals with weight <= 200, target excess is 668270
  69. Fri Jul 12 01:17:32 2024 commencing in-memory singleton removal
  70. Fri Jul 12 01:17:35 2024 begin with 123930740 relations and 97726130 unique ideals
  71. Fri Jul 12 01:17:48 2024 reduce to 100536842 relations and 72968387 ideals in 11 passes
  72. Fri Jul 12 01:17:48 2024 max relations containing the same ideal: 182
  73. Fri Jul 12 01:18:21 2024 removing 7138419 relations and 5138419 ideals in 2000000 cliques
  74. Fri Jul 12 01:18:26 2024 commencing in-memory singleton removal
  75. Fri Jul 12 01:18:29 2024 begin with 93398423 relations and 72968387 unique ideals
  76. Fri Jul 12 01:18:33 2024 reduce to 92966356 relations and 67387042 ideals in 6 passes
  77. Fri Jul 12 01:18:33 2024 max relations containing the same ideal: 176
  78. Fri Jul 12 01:19:06 2024 removing 5816247 relations and 3816247 ideals in 2000000 cliques
  79. Fri Jul 12 01:19:10 2024 commencing in-memory singleton removal
  80. Fri Jul 12 01:19:11 2024 begin with 87150109 relations and 67387042 unique ideals
  81. Fri Jul 12 01:19:17 2024 reduce to 86857545 relations and 63271855 ideals in 6 passes
  82. Fri Jul 12 01:19:17 2024 max relations containing the same ideal: 168
  83. Fri Jul 12 01:20:16 2024 removing 5476626 relations and 3476626 ideals in 2000000 cliques
  84. Fri Jul 12 01:20:22 2024 commencing in-memory singleton removal
  85. Fri Jul 12 01:20:25 2024 begin with 81380919 relations and 63271855 unique ideals
  86. Fri Jul 12 01:20:31 2024 reduce to 81125755 relations and 59534451 ideals in 6 passes
  87. Fri Jul 12 01:20:31 2024 max relations containing the same ideal: 159
  88. Fri Jul 12 01:20:56 2024 removing 5304518 relations and 3304518 ideals in 2000000 cliques
  89. Fri Jul 12 01:20:59 2024 commencing in-memory singleton removal
  90. Fri Jul 12 01:21:00 2024 begin with 75821237 relations and 59534451 unique ideals
  91. Fri Jul 12 01:21:04 2024 reduce to 75580404 relations and 55983739 ideals in 6 passes
  92. Fri Jul 12 01:21:04 2024 max relations containing the same ideal: 153
  93. Fri Jul 12 01:21:35 2024 removing 5201248 relations and 3201248 ideals in 2000000 cliques
  94. Fri Jul 12 01:21:39 2024 commencing in-memory singleton removal
  95. Fri Jul 12 01:21:41 2024 begin with 70379156 relations and 55983739 unique ideals
  96. Fri Jul 12 01:21:47 2024 reduce to 70139837 relations and 52537669 ideals in 6 passes
  97. Fri Jul 12 01:21:47 2024 max relations containing the same ideal: 145
  98. Fri Jul 12 01:22:31 2024 removing 5135526 relations and 3135526 ideals in 2000000 cliques
  99. Fri Jul 12 01:22:35 2024 commencing in-memory singleton removal
  100. Fri Jul 12 01:22:37 2024 begin with 65004311 relations and 52537669 unique ideals
  101. Fri Jul 12 01:22:43 2024 reduce to 64760423 relations and 49152327 ideals in 6 passes
  102. Fri Jul 12 01:22:43 2024 max relations containing the same ideal: 141
  103. Fri Jul 12 01:23:13 2024 removing 5100561 relations and 3100561 ideals in 2000000 cliques
  104. Fri Jul 12 01:23:15 2024 commencing in-memory singleton removal
  105. Fri Jul 12 01:23:16 2024 begin with 59659862 relations and 49152327 unique ideals
  106. Fri Jul 12 01:23:18 2024 reduce to 59402872 relations and 45788075 ideals in 6 passes
  107. Fri Jul 12 01:23:18 2024 max relations containing the same ideal: 130
  108. Fri Jul 12 01:23:36 2024 removing 5084668 relations and 3084668 ideals in 2000000 cliques
  109. Fri Jul 12 01:23:39 2024 commencing in-memory singleton removal
  110. Fri Jul 12 01:23:40 2024 begin with 54318204 relations and 45788075 unique ideals
  111. Fri Jul 12 01:23:45 2024 reduce to 54042554 relations and 42419872 ideals in 6 passes
  112. Fri Jul 12 01:23:45 2024 max relations containing the same ideal: 122
  113. Fri Jul 12 01:24:01 2024 removing 5091719 relations and 3091719 ideals in 2000000 cliques
  114. Fri Jul 12 01:24:03 2024 commencing in-memory singleton removal
  115. Fri Jul 12 01:24:04 2024 begin with 48950835 relations and 42419872 unique ideals
  116. Fri Jul 12 01:24:06 2024 reduce to 48646670 relations and 39014533 ideals in 6 passes
  117. Fri Jul 12 01:24:06 2024 max relations containing the same ideal: 113
  118. Fri Jul 12 01:24:21 2024 removing 5118670 relations and 3118670 ideals in 2000000 cliques
  119. Fri Jul 12 01:24:24 2024 commencing in-memory singleton removal
  120. Fri Jul 12 01:24:24 2024 begin with 43528000 relations and 39014533 unique ideals
  121. Fri Jul 12 01:24:28 2024 reduce to 43184155 relations and 35540519 ideals in 7 passes
  122. Fri Jul 12 01:24:28 2024 max relations containing the same ideal: 108
  123. Fri Jul 12 01:24:56 2024 removing 5171084 relations and 3171084 ideals in 2000000 cliques
  124. Fri Jul 12 01:24:59 2024 commencing in-memory singleton removal
  125. Fri Jul 12 01:25:00 2024 begin with 38013071 relations and 35540519 unique ideals
  126. Fri Jul 12 01:25:03 2024 reduce to 37611468 relations and 31952692 ideals in 6 passes
  127. Fri Jul 12 01:25:03 2024 max relations containing the same ideal: 98
  128. Fri Jul 12 01:25:26 2024 removing 5252062 relations and 3252062 ideals in 2000000 cliques
  129. Fri Jul 12 01:25:29 2024 commencing in-memory singleton removal
  130. Fri Jul 12 01:25:30 2024 begin with 32359406 relations and 31952692 unique ideals
  131. Fri Jul 12 01:25:31 2024 reduce to 31875559 relations and 28195446 ideals in 6 passes
  132. Fri Jul 12 01:25:31 2024 max relations containing the same ideal: 85
  133. Fri Jul 12 01:25:42 2024 removing 5368517 relations and 3368517 ideals in 2000000 cliques
  134. Fri Jul 12 01:25:43 2024 commencing in-memory singleton removal
  135. Fri Jul 12 01:25:44 2024 begin with 26507042 relations and 28195446 unique ideals
  136. Fri Jul 12 01:25:45 2024 reduce to 25891135 relations and 24179463 ideals in 8 passes
  137. Fri Jul 12 01:25:45 2024 max relations containing the same ideal: 77
  138. Fri Jul 12 01:25:54 2024 removing 2945177 relations and 2008699 ideals in 936478 cliques
  139. Fri Jul 12 01:25:55 2024 commencing in-memory singleton removal
  140. Fri Jul 12 01:25:56 2024 begin with 22945958 relations and 24179463 unique ideals
  141. Fri Jul 12 01:25:57 2024 reduce to 22660531 relations and 21876030 ideals in 7 passes
  142. Fri Jul 12 01:25:57 2024 max relations containing the same ideal: 71
  143. Fri Jul 12 01:26:05 2024 removing 58148 relations and 48841 ideals in 9307 cliques
  144. Fri Jul 12 01:26:06 2024 commencing in-memory singleton removal
  145. Fri Jul 12 01:26:06 2024 begin with 22602383 relations and 21876030 unique ideals
  146. Fri Jul 12 01:26:06 2024 reduce to 22602272 relations and 21827077 ideals in 5 passes
  147. Fri Jul 12 01:26:06 2024 max relations containing the same ideal: 71
  148. Fri Jul 12 01:26:09 2024 relations with 0 large ideals: 2276
  149. Fri Jul 12 01:26:09 2024 relations with 1 large ideals: 10633
  150. Fri Jul 12 01:26:09 2024 relations with 2 large ideals: 145484
  151. Fri Jul 12 01:26:09 2024 relations with 3 large ideals: 866042
  152. Fri Jul 12 01:26:09 2024 relations with 4 large ideals: 2742041
  153. Fri Jul 12 01:26:09 2024 relations with 5 large ideals: 5164783
  154. Fri Jul 12 01:26:09 2024 relations with 6 large ideals: 6118514
  155. Fri Jul 12 01:26:09 2024 relations with 7+ large ideals: 7552499
  156. Fri Jul 12 01:26:09 2024 commencing 2-way merge
  157. Fri Jul 12 01:26:22 2024 reduce to 15613549 relation sets and 14838354 unique ideals
  158. Fri Jul 12 01:26:22 2024 commencing full merge
  159. Fri Jul 12 01:33:51 2024 memory use: 1902.8 MB
  160. Fri Jul 12 01:33:54 2024 found 6732787 cycles, need 6714554
  161. Fri Jul 12 01:33:56 2024 weight of 6714554 cycles is about 940517859 (140.07/cycle)
  162. Fri Jul 12 01:33:56 2024 distribution of cycle lengths:
  163. Fri Jul 12 01:33:56 2024 1 relations: 162495
  164. Fri Jul 12 01:33:56 2024 2 relations: 312331
  165. Fri Jul 12 01:33:56 2024 3 relations: 403137
  166. Fri Jul 12 01:33:56 2024 4 relations: 439905
  167. Fri Jul 12 01:33:56 2024 5 relations: 471653
  168. Fri Jul 12 01:33:56 2024 6 relations: 482560
  169. Fri Jul 12 01:33:56 2024 7 relations: 486936
  170. Fri Jul 12 01:33:56 2024 8 relations: 472124
  171. Fri Jul 12 01:33:56 2024 9 relations: 452786
  172. Fri Jul 12 01:33:56 2024 10+ relations: 3030627
  173. Fri Jul 12 01:33:56 2024 heaviest cycle: 28 relations
  174. Fri Jul 12 01:33:58 2024 commencing cycle optimization
  175. Fri Jul 12 01:34:10 2024 start with 64980150 relations
  176. Fri Jul 12 01:36:54 2024 pruned 3958532 relations
  177. Fri Jul 12 01:36:54 2024 memory use: 1601.3 MB
  178. Fri Jul 12 01:36:54 2024 distribution of cycle lengths:
  179. Fri Jul 12 01:36:54 2024 1 relations: 162495
  180. Fri Jul 12 01:36:54 2024 2 relations: 322542
  181. Fri Jul 12 01:36:54 2024 3 relations: 424394
  182. Fri Jul 12 01:36:54 2024 4 relations: 464496
  183. Fri Jul 12 01:36:54 2024 5 relations: 503572
  184. Fri Jul 12 01:36:54 2024 6 relations: 516609
  185. Fri Jul 12 01:36:54 2024 7 relations: 522969
  186. Fri Jul 12 01:36:54 2024 8 relations: 506998
  187. Fri Jul 12 01:36:54 2024 9 relations: 484298
  188. Fri Jul 12 01:36:54 2024 10+ relations: 2806181
  189. Fri Jul 12 01:36:54 2024 heaviest cycle: 28 relations
  190. Fri Jul 12 01:37:03 2024 RelProcTime: 2529
  191. Fri Jul 12 01:37:03 2024 elapsed time 00:42:10
  192. Fri Jul 12 10:43:08 2024
  193. Fri Jul 12 10:43:08 2024
  194. Fri Jul 12 10:43:08 2024 Msieve v. 1.54 (SVN Unversioned directory)
  195. Fri Jul 12 10:43:08 2024 random seeds: eeb38f77 bfc77b45
  196. Fri Jul 12 10:43:08 2024 MPI process 0 of 1
  197. Fri Jul 12 10:43:08 2024 Using 64 OpenMP threads
  198. Fri Jul 12 10:43:08 2024 factoring 4127887645864126822071635802971653172699729834737766961250301759376061206705819839204900337759320592497625505476456649642861440030463227841104415713906662253458804507118209 (172 digits)
  199. Fri Jul 12 10:43:09 2024 searching for 15-digit factors
  200. Fri Jul 12 10:43:10 2024 commencing number field sieve (172-digit input)
  201. Fri Jul 12 10:43:10 2024 R0: -3342093192477394992746077396647679
  202. Fri Jul 12 10:43:10 2024 R1: 695386372952878451
  203. Fri Jul 12 10:43:10 2024 A0: -316479005093140640565903276836480994965760
  204. Fri Jul 12 10:43:10 2024 A1: 16271204983699831778655136747350696
  205. Fri Jul 12 10:43:10 2024 A2: 19256650129302270576668111903
  206. Fri Jul 12 10:43:10 2024 A3: 424771816876502497366
  207. Fri Jul 12 10:43:10 2024 A4: -11564460979902
  208. Fri Jul 12 10:43:10 2024 A5: 9900
  209. Fri Jul 12 10:43:10 2024 skew 40486995.20, size 8.817e-17, alpha -7.142, combined = 2.620e-13 rroots = 5
  210. Fri Jul 12 10:43:10 2024
  211. Fri Jul 12 10:43:10 2024 commencing linear algebra
  212. Fri Jul 12 10:43:10 2024 using VBITS=256
  213. Fri Jul 12 10:43:10 2024 initialized process (0,0) of 1 x 1 grid
  214. Fri Jul 12 10:43:11 2024 read 6714554 cycles
  215. Fri Jul 12 10:43:35 2024 cycles contain 22250743 unique relations
  216. Fri Jul 12 10:46:30 2024 read 22250743 relations
  217. Fri Jul 12 10:46:32 2024 using 20 quadratic characters above 4294917295
  218. Fri Jul 12 10:46:34 2024 building initial matrix
  219. Fri Jul 12 10:53:29 2024 memory use: 3139.0 MB
  220. Fri Jul 12 10:53:35 2024 read 6714554 cycles
  221. Fri Jul 12 10:53:36 2024 matrix is 6714375 x 6714554 (3566.8 MB) with weight 1079544219 (160.78/col)
  222. Fri Jul 12 10:53:36 2024 sparse part has weight 854433827 (127.25/col)
  223. Fri Jul 12 10:54:54 2024 filtering completed in 2 passes
  224. Fri Jul 12 10:54:56 2024 matrix is 6714316 x 6714494 (3566.8 MB) with weight 1079541129 (160.78/col)
  225. Fri Jul 12 10:54:56 2024 sparse part has weight 854432880 (127.25/col)
  226. Fri Jul 12 10:55:39 2024 matrix starts at (0, 0)
  227. Fri Jul 12 10:55:40 2024 matrix is 6714316 x 6714494 (3566.8 MB) with weight 1079541129 (160.78/col)
  228. Fri Jul 12 10:55:40 2024 sparse part has weight 854432880 (127.25/col)
  229. Fri Jul 12 10:55:40 2024 saving the first 240 matrix rows for later
  230. Fri Jul 12 10:55:42 2024 matrix includes 256 packed rows
  231. Fri Jul 12 10:55:44 2024 matrix is 6714076 x 6714494 (3219.9 MB) with weight 785252488 (116.95/col)
  232. Fri Jul 12 10:55:44 2024 sparse part has weight 736649375 (109.71/col)
  233. Fri Jul 12 10:55:44 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  234. Fri Jul 12 10:56:01 2024 commencing Lanczos iteration (64 threads)
  235. Fri Jul 12 10:56:01 2024 memory use: 4453.1 MB
  236. Fri Jul 12 10:57:08 2024 linear algebra at 0.5%, ETA 3h56m
  237. Fri Jul 12 10:58:38 2024 checking every 20000 dimensions, checkpointing every 1800000 dimensions
  238. Fri Jul 12 14:36:08 2024 lanczos halted after 26307 iterations (dim = 6714072)
  239. Fri Jul 12 14:36:43 2024 recovered 26 nontrivial dependencies
  240. Fri Jul 12 14:36:43 2024 BLanczosTime: 14013
  241. Fri Jul 12 14:36:43 2024
  242. Fri Jul 12 14:36:43 2024 commencing square root phase
  243. Fri Jul 12 14:36:43 2024 reading relations for dependency 1
  244. Fri Jul 12 14:36:44 2024 read 3356926 cycles
  245. Fri Jul 12 14:36:50 2024 cycles contain 11121434 unique relations
  246. Fri Jul 12 14:39:02 2024 read 11121434 relations
  247. Fri Jul 12 14:39:42 2024 multiplying 11121434 relations
  248. Fri Jul 12 14:40:46 2024 multiply complete, coefficients have about 614.16 million bits
  249. Fri Jul 12 14:40:47 2024 initial square root is modulo 323591
  250. Fri Jul 12 14:43:58 2024 sqrtTime: 435
  251. Fri Jul 12 14:43:58 2024 p71 factor: 31297552291222378184291476170647983399918306856400827199817229040438353
  252. Fri Jul 12 14:43:58 2024 p102 factor: 131891708573702818305035330659750434726780499039499154802404213801101172066482163128215940224504053553
  253. Fri Jul 12 14:43:58 2024 elapsed time 04:00:50
  254.  
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