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Oct 11th, 2023
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  1. Wed Oct 11 03:17:06 2023
  2. Wed Oct 11 03:17:06 2023
  3. Wed Oct 11 03:17:06 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Oct 11 03:17:06 2023 random seeds: abcdf3cd 400112f3
  5. Wed Oct 11 03:17:06 2023 Using 4 OpenMP threads
  6. Wed Oct 11 03:17:06 2023 factoring 20623650250869625913978496817073218715555987064711633354469367576190334694001326010007381125793261390429686436847579484573293780482775267170403152574357 (152 digits)
  7. Wed Oct 11 03:17:08 2023 searching for 15-digit factors
  8. Wed Oct 11 03:17:09 2023 commencing number field sieve (152-digit input)
  9. Wed Oct 11 03:17:09 2023 R0: -280485345946966328026396191531
  10. Wed Oct 11 03:17:09 2023 R1: 52302838935402323
  11. Wed Oct 11 03:17:09 2023 A0: -2652886728200144769155432927484688640
  12. Wed Oct 11 03:17:09 2023 A1: 11939488462224240617467798756614
  13. Wed Oct 11 03:17:09 2023 A2: 7420940261070817180109135
  14. Wed Oct 11 03:17:09 2023 A3: -3592900267553727222
  15. Wed Oct 11 03:17:09 2023 A4: -262176477648
  16. Wed Oct 11 03:17:09 2023 A5: 11880
  17. Wed Oct 11 03:17:09 2023 skew 5098430.22, size 1.002e-14, alpha -6.811, combined = 4.363e-12 rroots = 5
  18. Wed Oct 11 03:17:09 2023
  19. Wed Oct 11 03:17:09 2023 commencing relation filtering
  20. Wed Oct 11 03:17:09 2023 setting target matrix density to 124.0
  21. Wed Oct 11 03:17:09 2023 estimated available RAM is 15705.0 MB
  22. Wed Oct 11 03:17:09 2023 commencing duplicate removal, pass 1
  23. Wed Oct 11 03:25:17 2023 skipped 6 malformed relations
  24. Wed Oct 11 03:25:17 2023 found 7789741 hash collisions in 53071054 relations
  25. Wed Oct 11 03:26:09 2023 commencing duplicate removal, pass 2
  26. Wed Oct 11 03:28:14 2023 found 6723598 duplicates and 46347456 unique relations
  27. Wed Oct 11 03:28:14 2023 memory use: 213.2 MB
  28. Wed Oct 11 03:28:14 2023 reading ideals above 720000
  29. Wed Oct 11 03:28:15 2023 commencing singleton removal, initial pass
  30. Wed Oct 11 03:35:57 2023 memory use: 1378.0 MB
  31. Wed Oct 11 03:35:57 2023 reading all ideals from disk
  32. Wed Oct 11 03:36:01 2023 memory use: 2001.3 MB
  33. Wed Oct 11 03:36:06 2023 keeping 45306184 ideals with weight <= 200, target excess is 244372
  34. Wed Oct 11 03:36:12 2023 commencing in-memory singleton removal
  35. Wed Oct 11 03:36:15 2023 begin with 46347456 relations and 45306184 unique ideals
  36. Wed Oct 11 03:36:37 2023 reduce to 26429518 relations and 22987744 ideals in 15 passes
  37. Wed Oct 11 03:36:37 2023 max relations containing the same ideal: 147
  38. Wed Oct 11 03:36:53 2023 removing 2642349 relations and 2242349 ideals in 400000 cliques
  39. Wed Oct 11 03:36:55 2023 commencing in-memory singleton removal
  40. Wed Oct 11 03:36:57 2023 begin with 23787169 relations and 22987744 unique ideals
  41. Wed Oct 11 03:37:07 2023 reduce to 23589652 relations and 20544107 ideals in 9 passes
  42. Wed Oct 11 03:37:07 2023 max relations containing the same ideal: 136
  43. Wed Oct 11 03:37:21 2023 removing 1995397 relations and 1595397 ideals in 400000 cliques
  44. Wed Oct 11 03:37:23 2023 commencing in-memory singleton removal
  45. Wed Oct 11 03:37:24 2023 begin with 21594255 relations and 20544107 unique ideals
  46. Wed Oct 11 03:37:30 2023 reduce to 21463339 relations and 18815638 ideals in 8 passes
  47. Wed Oct 11 03:37:30 2023 max relations containing the same ideal: 130
  48. Wed Oct 11 03:37:45 2023 removing 1796692 relations and 1396692 ideals in 400000 cliques
  49. Wed Oct 11 03:37:48 2023 commencing in-memory singleton removal
  50. Wed Oct 11 03:37:49 2023 begin with 19666647 relations and 18815638 unique ideals
  51. Wed Oct 11 03:37:53 2023 reduce to 19551263 relations and 17301624 ideals in 7 passes
  52. Wed Oct 11 03:37:53 2023 max relations containing the same ideal: 120
  53. Wed Oct 11 03:38:05 2023 removing 1694441 relations and 1294441 ideals in 400000 cliques
  54. Wed Oct 11 03:38:07 2023 commencing in-memory singleton removal
  55. Wed Oct 11 03:38:08 2023 begin with 17856822 relations and 17301624 unique ideals
  56. Wed Oct 11 03:38:12 2023 reduce to 17745380 relations and 15893709 ideals in 6 passes
  57. Wed Oct 11 03:38:12 2023 max relations containing the same ideal: 113
  58. Wed Oct 11 03:38:23 2023 removing 1632720 relations and 1232720 ideals in 400000 cliques
  59. Wed Oct 11 03:38:24 2023 commencing in-memory singleton removal
  60. Wed Oct 11 03:38:25 2023 begin with 16112660 relations and 15893709 unique ideals
  61. Wed Oct 11 03:38:30 2023 reduce to 16000150 relations and 14546318 ideals in 8 passes
  62. Wed Oct 11 03:38:30 2023 max relations containing the same ideal: 103
  63. Wed Oct 11 03:38:39 2023 removing 1595750 relations and 1195750 ideals in 400000 cliques
  64. Wed Oct 11 03:38:40 2023 commencing in-memory singleton removal
  65. Wed Oct 11 03:38:42 2023 begin with 14404400 relations and 14546318 unique ideals
  66. Wed Oct 11 03:38:45 2023 reduce to 14288807 relations and 13232490 ideals in 7 passes
  67. Wed Oct 11 03:38:45 2023 max relations containing the same ideal: 99
  68. Wed Oct 11 03:38:54 2023 removing 1571489 relations and 1171489 ideals in 400000 cliques
  69. Wed Oct 11 03:38:55 2023 commencing in-memory singleton removal
  70. Wed Oct 11 03:38:56 2023 begin with 12717318 relations and 13232490 unique ideals
  71. Wed Oct 11 03:39:00 2023 reduce to 12591014 relations and 11931802 ideals in 8 passes
  72. Wed Oct 11 03:39:00 2023 max relations containing the same ideal: 90
  73. Wed Oct 11 03:39:08 2023 removing 1478814 relations and 1103074 ideals in 375740 cliques
  74. Wed Oct 11 03:39:09 2023 commencing in-memory singleton removal
  75. Wed Oct 11 03:39:09 2023 begin with 11112200 relations and 11931802 unique ideals
  76. Wed Oct 11 03:39:13 2023 reduce to 10988878 relations and 10702292 ideals in 9 passes
  77. Wed Oct 11 03:39:13 2023 max relations containing the same ideal: 83
  78. Wed Oct 11 03:39:23 2023 relations with 0 large ideals: 820
  79. Wed Oct 11 03:39:23 2023 relations with 1 large ideals: 2351
  80. Wed Oct 11 03:39:23 2023 relations with 2 large ideals: 36661
  81. Wed Oct 11 03:39:23 2023 relations with 3 large ideals: 261291
  82. Wed Oct 11 03:39:23 2023 relations with 4 large ideals: 997013
  83. Wed Oct 11 03:39:23 2023 relations with 5 large ideals: 2227257
  84. Wed Oct 11 03:39:23 2023 relations with 6 large ideals: 3067939
  85. Wed Oct 11 03:39:23 2023 relations with 7+ large ideals: 4395546
  86. Wed Oct 11 03:39:23 2023 commencing 2-way merge
  87. Wed Oct 11 03:39:33 2023 reduce to 6968812 relation sets and 6682226 unique ideals
  88. Wed Oct 11 03:39:33 2023 commencing full merge
  89. Wed Oct 11 03:44:13 2023 memory use: 898.4 MB
  90. Wed Oct 11 03:44:14 2023 found 3083814 cycles, need 3080426
  91. Wed Oct 11 03:44:15 2023 weight of 3080426 cycles is about 382277052 (124.10/cycle)
  92. Wed Oct 11 03:44:15 2023 distribution of cycle lengths:
  93. Wed Oct 11 03:44:15 2023 1 relations: 111338
  94. Wed Oct 11 03:44:15 2023 2 relations: 188417
  95. Wed Oct 11 03:44:15 2023 3 relations: 218370
  96. Wed Oct 11 03:44:15 2023 4 relations: 220056
  97. Wed Oct 11 03:44:15 2023 5 relations: 221941
  98. Wed Oct 11 03:44:15 2023 6 relations: 217048
  99. Wed Oct 11 03:44:15 2023 7 relations: 209637
  100. Wed Oct 11 03:44:15 2023 8 relations: 200399
  101. Wed Oct 11 03:44:15 2023 9 relations: 189627
  102. Wed Oct 11 03:44:15 2023 10+ relations: 1303593
  103. Wed Oct 11 03:44:15 2023 heaviest cycle: 28 relations
  104. Wed Oct 11 03:44:16 2023 commencing cycle optimization
  105. Wed Oct 11 03:44:30 2023 start with 28600340 relations
  106. Wed Oct 11 03:46:25 2023 pruned 1350828 relations
  107. Wed Oct 11 03:46:25 2023 memory use: 747.0 MB
  108. Wed Oct 11 03:46:25 2023 distribution of cycle lengths:
  109. Wed Oct 11 03:46:25 2023 1 relations: 111338
  110. Wed Oct 11 03:46:25 2023 2 relations: 193663
  111. Wed Oct 11 03:46:25 2023 3 relations: 228286
  112. Wed Oct 11 03:46:25 2023 4 relations: 229545
  113. Wed Oct 11 03:46:25 2023 5 relations: 233313
  114. Wed Oct 11 03:46:25 2023 6 relations: 227478
  115. Wed Oct 11 03:46:25 2023 7 relations: 220167
  116. Wed Oct 11 03:46:25 2023 8 relations: 209298
  117. Wed Oct 11 03:46:25 2023 9 relations: 198250
  118. Wed Oct 11 03:46:25 2023 10+ relations: 1229088
  119. Wed Oct 11 03:46:25 2023 heaviest cycle: 28 relations
  120. Wed Oct 11 03:46:32 2023 RelProcTime: 1763
  121. Wed Oct 11 03:46:32 2023 elapsed time 00:29:26
  122. Wed Oct 11 10:49:37 2023
  123. Wed Oct 11 10:49:37 2023
  124. Wed Oct 11 10:49:37 2023 Msieve v. 1.54 (SVN Unversioned directory)
  125. Wed Oct 11 10:49:37 2023 random seeds: eb4f5536 86957a64
  126. Wed Oct 11 10:49:37 2023 Using 4 OpenMP threads
  127. Wed Oct 11 10:49:37 2023 factoring 20623650250869625913978496817073218715555987064711633354469367576190334694001326010007381125793261390429686436847579484573293780482775267170403152574357 (152 digits)
  128. Wed Oct 11 10:49:38 2023 searching for 15-digit factors
  129. Wed Oct 11 10:49:39 2023 commencing number field sieve (152-digit input)
  130. Wed Oct 11 10:49:39 2023 R0: -280485345946966328026396191531
  131. Wed Oct 11 10:49:39 2023 R1: 52302838935402323
  132. Wed Oct 11 10:49:39 2023 A0: -2652886728200144769155432927484688640
  133. Wed Oct 11 10:49:39 2023 A1: 11939488462224240617467798756614
  134. Wed Oct 11 10:49:39 2023 A2: 7420940261070817180109135
  135. Wed Oct 11 10:49:39 2023 A3: -3592900267553727222
  136. Wed Oct 11 10:49:39 2023 A4: -262176477648
  137. Wed Oct 11 10:49:39 2023 A5: 11880
  138. Wed Oct 11 10:49:39 2023 skew 5098430.22, size 1.002e-14, alpha -6.811, combined = 4.363e-12 rroots = 5
  139. Wed Oct 11 10:49:39 2023
  140. Wed Oct 11 10:49:39 2023 commencing linear algebra
  141. Wed Oct 11 10:49:39 2023 using VBITS=256
  142. Wed Oct 11 10:49:40 2023 read 3080426 cycles
  143. Wed Oct 11 10:49:47 2023 cycles contain 10792650 unique relations
  144. Wed Oct 11 10:51:00 2023 read 10792650 relations
  145. Wed Oct 11 10:51:08 2023 using 20 quadratic characters above 4294917295
  146. Wed Oct 11 10:51:25 2023 building initial matrix
  147. Wed Oct 11 10:53:11 2023 memory use: 1465.7 MB
  148. Wed Oct 11 10:53:12 2023 read 3080426 cycles
  149. Wed Oct 11 10:53:12 2023 matrix is 3080249 x 3080426 (1480.5 MB) with weight 449750151 (146.00/col)
  150. Wed Oct 11 10:53:12 2023 sparse part has weight 354213277 (114.99/col)
  151. Wed Oct 11 10:53:40 2023 filtering completed in 2 passes
  152. Wed Oct 11 10:53:40 2023 matrix is 3080224 x 3080400 (1480.5 MB) with weight 449749010 (146.00/col)
  153. Wed Oct 11 10:53:40 2023 sparse part has weight 354212953 (114.99/col)
  154. Wed Oct 11 10:53:46 2023 matrix starts at (0, 0)
  155. Wed Oct 11 10:53:46 2023 matrix is 3080224 x 3080400 (1480.5 MB) with weight 449749010 (146.00/col)
  156. Wed Oct 11 10:53:46 2023 sparse part has weight 354212953 (114.99/col)
  157. Wed Oct 11 10:53:46 2023 saving the first 240 matrix rows for later
  158. Wed Oct 11 10:53:47 2023 matrix includes 256 packed rows
  159. Wed Oct 11 10:53:48 2023 matrix is 3079984 x 3080400 (1326.8 MB) with weight 320478466 (104.04/col)
  160. Wed Oct 11 10:53:48 2023 sparse part has weight 298532466 (96.91/col)
  161. Wed Oct 11 10:53:48 2023 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  162. Wed Oct 11 10:53:54 2023 commencing Lanczos iteration (4 threads)
  163. Wed Oct 11 10:53:54 2023 memory use: 1800.1 MB
  164. Wed Oct 11 10:57:56 2023 linear algebra at 1.0%, ETA 6h39m
  165. Wed Oct 11 10:59:12 2023 lanczos halted after 156 iterations (dim = 39833)
  166. Wed Oct 11 10:59:12 2023 BLanczosTime: 573
  167. Wed Oct 11 10:59:12 2023 elapsed time 00:09:35
  168. Wed Oct 11 10:13:39 2023
  169. Wed Oct 11 10:13:39 2023
  170. Wed Oct 11 10:13:39 2023 Msieve v. 1.54 (SVN unknown)
  171. Wed Oct 11 10:13:39 2023 random seeds: 4e27062f b1daf39b
  172. Wed Oct 11 10:13:39 2023 factoring 20623650250869625913978496817073218715555987064711633354469367576190334694001326010007381125793261390429686436847579484573293780482775267170403152574357 (152 digits)
  173. Wed Oct 11 10:13:40 2023 no P-1/P+1/ECM available, skipping
  174. Wed Oct 11 10:13:40 2023 commencing number field sieve (152-digit input)
  175. Wed Oct 11 10:13:40 2023 R0: -280485345946966328026396191531
  176. Wed Oct 11 10:13:40 2023 R1: 52302838935402323
  177. Wed Oct 11 10:13:40 2023 A0: -2652886728200144769155432927484688640
  178. Wed Oct 11 10:13:40 2023 A1: 11939488462224240617467798756614
  179. Wed Oct 11 10:13:40 2023 A2: 7420940261070817180109135
  180. Wed Oct 11 10:13:40 2023 A3: -3592900267553727222
  181. Wed Oct 11 10:13:40 2023 A4: -262176477648
  182. Wed Oct 11 10:13:40 2023 A5: 11880
  183. Wed Oct 11 10:13:40 2023 skew 5098430.22, size 1.002e-14, alpha -6.811, combined = 4.363e-12 rroots = 5
  184. Wed Oct 11 10:13:40 2023
  185. Wed Oct 11 10:13:40 2023 commencing linear algebra
  186. Wed Oct 11 10:13:40 2023 using VBITS=128
  187. Wed Oct 11 10:13:40 2023 skipping matrix build
  188. Wed Oct 11 10:13:41 2023 matrix starts at (0, 0)
  189. Wed Oct 11 10:13:42 2023 matrix is 3080224 x 3080400 (1480.5 MB) with weight 449749010 (146.00/col)
  190. Wed Oct 11 10:13:42 2023 sparse part has weight 354212953 (114.99/col)
  191. Wed Oct 11 10:13:42 2023 saving the first 112 matrix rows for later
  192. Wed Oct 11 10:13:43 2023 matrix includes 128 packed rows
  193. Wed Oct 11 10:13:44 2023 matrix is 3080112 x 3080400 (1363.5 MB) with weight 347215717 (112.72/col)
  194. Wed Oct 11 10:13:44 2023 sparse part has weight 320478466 (104.04/col)
  195. Wed Oct 11 10:13:44 2023 using GPU 0 (Tesla P100-PCIE-16GB)
  196. Wed Oct 11 10:13:44 2023 selected card has CUDA arch 6.0
  197. Wed Oct 11 10:14:14 2023 commencing Lanczos iteration
  198. Wed Oct 11 10:14:15 2023 memory use: 2915.1 MB
  199. Wed Oct 11 10:14:16 2023 linear algebra at 0.0%, ETA 0h33m
  200. Wed Oct 11 10:14:17 2023 checkpointing every 3680000 dimensions
  201. Wed Oct 11 10:57:41 2023 lanczos halted after 24209 iterations (dim = 3080112)
  202. Wed Oct 11 10:57:47 2023 recovered 30 nontrivial dependencies
  203. Wed Oct 11 10:57:47 2023 BLanczosTime: 2647
  204. Wed Oct 11 10:57:47 2023 elapsed time 00:44:08
  205. Wed Oct 11 13:59:05 2023
  206. Wed Oct 11 13:59:05 2023
  207. Wed Oct 11 13:59:05 2023 Msieve v. 1.54 (SVN Unversioned directory)
  208. Wed Oct 11 13:59:05 2023 random seeds: ce31e168 4880de24
  209. Wed Oct 11 13:59:05 2023 Using 4 OpenMP threads
  210. Wed Oct 11 13:59:05 2023 factoring 20623650250869625913978496817073218715555987064711633354469367576190334694001326010007381125793261390429686436847579484573293780482775267170403152574357 (152 digits)
  211. Wed Oct 11 13:59:07 2023 searching for 15-digit factors
  212. Wed Oct 11 13:59:08 2023 commencing number field sieve (152-digit input)
  213. Wed Oct 11 13:59:08 2023 R0: -280485345946966328026396191531
  214. Wed Oct 11 13:59:08 2023 R1: 52302838935402323
  215. Wed Oct 11 13:59:08 2023 A0: -2652886728200144769155432927484688640
  216. Wed Oct 11 13:59:08 2023 A1: 11939488462224240617467798756614
  217. Wed Oct 11 13:59:08 2023 A2: 7420940261070817180109135
  218. Wed Oct 11 13:59:08 2023 A3: -3592900267553727222
  219. Wed Oct 11 13:59:08 2023 A4: -262176477648
  220. Wed Oct 11 13:59:08 2023 A5: 11880
  221. Wed Oct 11 13:59:08 2023 skew 5098430.22, size 1.002e-14, alpha -6.811, combined = 4.363e-12 rroots = 5
  222. Wed Oct 11 13:59:08 2023
  223. Wed Oct 11 13:59:08 2023 commencing square root phase
  224. Wed Oct 11 13:59:08 2023 reading relations for dependency 1
  225. Wed Oct 11 13:59:09 2023 read 1541459 cycles
  226. Wed Oct 11 13:59:14 2023 cycles contain 5401700 unique relations
  227. Wed Oct 11 14:02:34 2023 read 5401700 relations
  228. Wed Oct 11 14:03:27 2023 multiplying 5401700 relations
  229. Wed Oct 11 14:07:54 2023 multiply complete, coefficients have about 271.78 million bits
  230. Wed Oct 11 14:07:57 2023 initial square root is modulo 75277
  231. Wed Oct 11 14:15:08 2023 sqrtTime: 960
  232. Wed Oct 11 14:15:08 2023 p58 factor: 1084222998645679352929785114746059047486664472273836577587
  233. Wed Oct 11 14:15:08 2023 p95 factor: 19021594521266348448914284408642841339073639118541773594239729729831754929685503262063370930711
  234. Wed Oct 11 14:15:08 2023 elapsed time 00:16:03
  235.  
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