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Oct 28th, 2021
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  1. Wed Oct 27 18:48:05 2021
  2. Wed Oct 27 18:48:05 2021
  3. Wed Oct 27 18:48:05 2021 Msieve v. 1.54 (SVN 1043M)
  4. Wed Oct 27 18:48:05 2021 random seeds: b3693d8b ddd550c1
  5. Wed Oct 27 18:48:05 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits)
  6. Wed Oct 27 18:48:06 2021 searching for 15-digit factors
  7. Wed Oct 27 18:48:06 2021 commencing number field sieve (165-digit input)
  8. Wed Oct 27 18:48:06 2021 R0: -53060813340179023191719629612258
  9. Wed Oct 27 18:48:06 2021 R1: 265493655314477309
  10. Wed Oct 27 18:48:06 2021 A0: -1927426400517915689628901925085143115447
  11. Wed Oct 27 18:48:06 2021 A1: 196624870527592519477331122405576
  12. Wed Oct 27 18:48:06 2021 A2: 1303593268370469772330978023
  13. Wed Oct 27 18:48:06 2021 A3: 156611506050084195684
  14. Wed Oct 27 18:48:06 2021 A4: -39305564040676
  15. Wed Oct 27 18:48:06 2021 A5: 307440
  16. Wed Oct 27 18:48:06 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5
  17. Wed Oct 27 18:48:06 2021
  18. Wed Oct 27 18:48:06 2021 commencing relation filtering
  19. Wed Oct 27 18:48:06 2021 setting target matrix density to 140.0
  20. Wed Oct 27 18:48:06 2021 estimated available RAM is 31368.2 MB
  21. Wed Oct 27 18:48:06 2021 commencing duplicate removal, pass 1
  22. Wed Oct 27 19:06:56 2021 skipped 43 relations with composite factors
  23. Wed Oct 27 19:06:56 2021 found 29799148 hash collisions in 135037532 relations
  24. Wed Oct 27 19:07:25 2021 added 122078 free relations
  25. Wed Oct 27 19:07:25 2021 commencing duplicate removal, pass 2
  26. Wed Oct 27 19:08:24 2021 found 30273146 duplicates and 104886464 unique relations
  27. Wed Oct 27 19:08:24 2021 memory use: 724.8 MB
  28. Wed Oct 27 19:08:24 2021 reading ideals above 720000
  29. Wed Oct 27 19:08:24 2021 commencing singleton removal, initial pass
  30. Wed Oct 27 19:22:46 2021 memory use: 2756.0 MB
  31. Wed Oct 27 19:22:46 2021 reading all ideals from disk
  32. Wed Oct 27 19:22:48 2021 memory use: 3995.5 MB
  33. Wed Oct 27 19:23:01 2021 keeping 92119505 ideals with weight <= 200, target excess is 561498
  34. Wed Oct 27 19:23:15 2021 commencing in-memory singleton removal
  35. Wed Oct 27 19:23:26 2021 begin with 104886464 relations and 92119505 unique ideals
  36. Wed Oct 27 19:25:03 2021 reduce to 72649568 relations and 56977441 ideals in 12 passes
  37. Wed Oct 27 19:25:03 2021 max relations containing the same ideal: 164
  38. Wed Oct 27 19:25:41 2021 removing 8433814 relations and 6433814 ideals in 2000000 cliques
  39. Wed Oct 27 19:25:45 2021 commencing in-memory singleton removal
  40. Wed Oct 27 19:25:51 2021 begin with 64215754 relations and 56977441 unique ideals
  41. Wed Oct 27 19:26:34 2021 reduce to 63477371 relations and 49780530 ideals in 7 passes
  42. Wed Oct 27 19:26:34 2021 max relations containing the same ideal: 154
  43. Wed Oct 27 19:27:05 2021 removing 6661804 relations and 4661804 ideals in 2000000 cliques
  44. Wed Oct 27 19:27:08 2021 commencing in-memory singleton removal
  45. Wed Oct 27 19:27:13 2021 begin with 56815567 relations and 49780530 unique ideals
  46. Wed Oct 27 19:27:52 2021 reduce to 56300225 relations and 44587551 ideals in 7 passes
  47. Wed Oct 27 19:27:52 2021 max relations containing the same ideal: 141
  48. Wed Oct 27 19:28:19 2021 removing 6182680 relations and 4182680 ideals in 2000000 cliques
  49. Wed Oct 27 19:28:23 2021 commencing in-memory singleton removal
  50. Wed Oct 27 19:28:27 2021 begin with 50117545 relations and 44587551 unique ideals
  51. Wed Oct 27 19:29:02 2021 reduce to 49655213 relations and 39927624 ideals in 7 passes
  52. Wed Oct 27 19:29:02 2021 max relations containing the same ideal: 128
  53. Wed Oct 27 19:29:27 2021 removing 5933818 relations and 3933818 ideals in 2000000 cliques
  54. Wed Oct 27 19:29:30 2021 commencing in-memory singleton removal
  55. Wed Oct 27 19:29:34 2021 begin with 43721395 relations and 39927624 unique ideals
  56. Wed Oct 27 19:30:03 2021 reduce to 43269157 relations and 35525674 ideals in 7 passes
  57. Wed Oct 27 19:30:03 2021 max relations containing the same ideal: 121
  58. Wed Oct 27 19:30:24 2021 removing 5775014 relations and 3775014 ideals in 2000000 cliques
  59. Wed Oct 27 19:30:27 2021 commencing in-memory singleton removal
  60. Wed Oct 27 19:30:30 2021 begin with 37494143 relations and 35525674 unique ideals
  61. Wed Oct 27 19:30:54 2021 reduce to 37029453 relations and 31267702 ideals in 7 passes
  62. Wed Oct 27 19:30:54 2021 max relations containing the same ideal: 108
  63. Wed Oct 27 19:31:12 2021 removing 5660226 relations and 3660226 ideals in 2000000 cliques
  64. Wed Oct 27 19:31:15 2021 commencing in-memory singleton removal
  65. Wed Oct 27 19:31:17 2021 begin with 31369227 relations and 31267702 unique ideals
  66. Wed Oct 27 19:31:40 2021 reduce to 30865084 relations and 27080526 ideals in 8 passes
  67. Wed Oct 27 19:31:40 2021 max relations containing the same ideal: 93
  68. Wed Oct 27 19:31:55 2021 removing 5587582 relations and 3587582 ideals in 2000000 cliques
  69. Wed Oct 27 19:31:57 2021 commencing in-memory singleton removal
  70. Wed Oct 27 19:31:59 2021 begin with 25277502 relations and 27080526 unique ideals
  71. Wed Oct 27 19:32:14 2021 reduce to 24684953 relations and 22868572 ideals in 7 passes
  72. Wed Oct 27 19:32:14 2021 max relations containing the same ideal: 85
  73. Wed Oct 27 19:32:26 2021 removing 3559582 relations and 2394539 ideals in 1165043 cliques
  74. Wed Oct 27 19:32:28 2021 commencing in-memory singleton removal
  75. Wed Oct 27 19:32:29 2021 begin with 21125371 relations and 22868572 unique ideals
  76. Wed Oct 27 19:32:43 2021 reduce to 20774700 relations and 20108618 ideals in 8 passes
  77. Wed Oct 27 19:32:43 2021 max relations containing the same ideal: 77
  78. Wed Oct 27 19:32:53 2021 removing 89944 relations and 75200 ideals in 14744 cliques
  79. Wed Oct 27 19:32:55 2021 commencing in-memory singleton removal
  80. Wed Oct 27 19:32:56 2021 begin with 20684756 relations and 20108618 unique ideals
  81. Wed Oct 27 19:33:04 2021 reduce to 20684467 relations and 20033129 ideals in 5 passes
  82. Wed Oct 27 19:33:04 2021 max relations containing the same ideal: 77
  83. Wed Oct 27 19:33:08 2021 relations with 0 large ideals: 1823
  84. Wed Oct 27 19:33:08 2021 relations with 1 large ideals: 10650
  85. Wed Oct 27 19:33:08 2021 relations with 2 large ideals: 142358
  86. Wed Oct 27 19:33:08 2021 relations with 3 large ideals: 845372
  87. Wed Oct 27 19:33:08 2021 relations with 4 large ideals: 2654728
  88. Wed Oct 27 19:33:08 2021 relations with 5 large ideals: 4899739
  89. Wed Oct 27 19:33:08 2021 relations with 6 large ideals: 5651255
  90. Wed Oct 27 19:33:08 2021 relations with 7+ large ideals: 6478542
  91. Wed Oct 27 19:33:08 2021 commencing 2-way merge
  92. Wed Oct 27 19:33:23 2021 reduce to 14292891 relation sets and 13641553 unique ideals
  93. Wed Oct 27 19:33:23 2021 commencing full merge
  94. Wed Oct 27 19:39:07 2021 memory use: 1702.6 MB
  95. Wed Oct 27 19:39:09 2021 found 6076833 cycles, need 6073753
  96. Wed Oct 27 19:39:11 2021 weight of 6073753 cycles is about 850539273 (140.04/cycle)
  97. Wed Oct 27 19:39:12 2021 distribution of cycle lengths:
  98. Wed Oct 27 19:39:12 2021 1 relations: 104678
  99. Wed Oct 27 19:39:12 2021 2 relations: 255801
  100. Wed Oct 27 19:39:12 2021 3 relations: 343932
  101. Wed Oct 27 19:39:12 2021 4 relations: 383495
  102. Wed Oct 27 19:39:12 2021 5 relations: 418491
  103. Wed Oct 27 19:39:12 2021 6 relations: 429068
  104. Wed Oct 27 19:39:12 2021 7 relations: 437505
  105. Wed Oct 27 19:39:12 2021 8 relations: 425116
  106. Wed Oct 27 19:39:12 2021 9 relations: 410176
  107. Wed Oct 27 19:39:12 2021 10+ relations: 2865491
  108. Wed Oct 27 19:39:12 2021 heaviest cycle: 28 relations
  109. Wed Oct 27 19:39:14 2021 commencing cycle optimization
  110. Wed Oct 27 19:39:30 2021 start with 60734415 relations
  111. Wed Oct 27 19:42:18 2021 pruned 3626405 relations
  112. Wed Oct 27 19:42:18 2021 memory use: 1481.3 MB
  113. Wed Oct 27 19:42:18 2021 distribution of cycle lengths:
  114. Wed Oct 27 19:42:18 2021 1 relations: 104678
  115. Wed Oct 27 19:42:18 2021 2 relations: 264847
  116. Wed Oct 27 19:42:18 2021 3 relations: 361847
  117. Wed Oct 27 19:42:18 2021 4 relations: 405053
  118. Wed Oct 27 19:42:18 2021 5 relations: 446301
  119. Wed Oct 27 19:42:18 2021 6 relations: 459477
  120. Wed Oct 27 19:42:18 2021 7 relations: 469587
  121. Wed Oct 27 19:42:18 2021 8 relations: 455277
  122. Wed Oct 27 19:42:18 2021 9 relations: 439252
  123. Wed Oct 27 19:42:18 2021 10+ relations: 2667434
  124. Wed Oct 27 19:42:18 2021 heaviest cycle: 28 relations
  125. Wed Oct 27 19:42:33 2021 RelProcTime: 3267
  126. Wed Oct 27 19:42:33 2021 elapsed time 00:54:28
  127. Wed Oct 27 19:56:21 2021
  128. Wed Oct 27 19:56:21 2021
  129. Wed Oct 27 19:56:21 2021 Msieve v. 1.54 (SVN 1043M)
  130. Wed Oct 27 19:56:21 2021 random seeds: 8e8c2386 5d366ae0
  131. Wed Oct 27 19:56:21 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits)
  132. Wed Oct 27 19:56:22 2021 searching for 15-digit factors
  133. Wed Oct 27 19:56:22 2021 commencing number field sieve (165-digit input)
  134. Wed Oct 27 19:56:22 2021 R0: -53060813340179023191719629612258
  135. Wed Oct 27 19:56:22 2021 R1: 265493655314477309
  136. Wed Oct 27 19:56:22 2021 A0: -1927426400517915689628901925085143115447
  137. Wed Oct 27 19:56:22 2021 A1: 196624870527592519477331122405576
  138. Wed Oct 27 19:56:22 2021 A2: 1303593268370469772330978023
  139. Wed Oct 27 19:56:22 2021 A3: 156611506050084195684
  140. Wed Oct 27 19:56:22 2021 A4: -39305564040676
  141. Wed Oct 27 19:56:22 2021 A5: 307440
  142. Wed Oct 27 19:56:22 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5
  143. Wed Oct 27 19:56:22 2021
  144. Wed Oct 27 19:56:22 2021 commencing linear algebra
  145. Wed Oct 27 19:56:23 2021 read 6073753 cycles
  146. Wed Oct 27 19:56:40 2021 cycles contain 20380732 unique relations
  147. Wed Oct 27 19:58:30 2021 read 20380732 relations
  148. Wed Oct 27 19:59:09 2021 using 20 quadratic characters above 4294917295
  149. Wed Oct 27 20:00:54 2021 building initial matrix
  150. Wed Oct 27 20:07:00 2021 memory use: 2880.9 MB
  151. Wed Oct 27 20:07:04 2021 read 6073753 cycles
  152. Wed Oct 27 20:07:05 2021 matrix is 6073575 x 6073753 (3220.7 MB) with weight 981095347 (161.53/col)
  153. Wed Oct 27 20:07:05 2021 sparse part has weight 771392185 (127.00/col)
  154. Wed Oct 27 20:08:29 2021 filtering completed in 2 passes
  155. Wed Oct 27 20:08:30 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col)
  156. Wed Oct 27 20:08:30 2021 sparse part has weight 771391781 (127.00/col)
  157. Wed Oct 27 20:08:54 2021 matrix starts at (0, 0)
  158. Wed Oct 27 20:08:55 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col)
  159. Wed Oct 27 20:08:55 2021 sparse part has weight 771391781 (127.00/col)
  160. Wed Oct 27 20:08:55 2021 saving the first 48 matrix rows for later
  161. Wed Oct 27 20:08:56 2021 matrix includes 64 packed rows
  162. Wed Oct 27 20:08:57 2021 matrix is 6073493 x 6073719 (3144.4 MB) with weight 853905329 (140.59/col)
  163. Wed Oct 27 20:08:57 2021 sparse part has weight 763551771 (125.71/col)
  164. Wed Oct 27 20:08:57 2021 using block size 8192 and superblock size 3244032 for processor cache size 33792 kB
  165. Wed Oct 27 20:09:22 2021 commencing Lanczos iteration (4 threads)
  166. Wed Oct 27 20:09:22 2021 memory use: 2905.8 MB
  167. Wed Oct 27 20:09:43 2021 linear algebra at 0.0%, ETA 22h11m
  168. Wed Oct 27 20:09:50 2021 checkpointing every 270000 dimensions
  169. Wed Oct 27 20:11:27 2021 lanczos halted after 129 iterations (dim = 8151)
  170. Wed Oct 27 20:11:28 2021 BLanczosTime: 906
  171. Wed Oct 27 20:11:28 2021 elapsed time 00:15:07
  172. Thu Oct 28 11:14:38 2021
  173. Thu Oct 28 11:14:38 2021
  174. Thu Oct 28 11:14:38 2021 Msieve v. 1.54 (SVN unknown)
  175. Thu Oct 28 11:14:38 2021 random seeds: daeb8ed9 e0416855
  176. Thu Oct 28 11:14:38 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits)
  177. Thu Oct 28 11:14:38 2021 no P-1/P+1/ECM available, skipping
  178. Thu Oct 28 11:14:38 2021 commencing number field sieve (165-digit input)
  179. Thu Oct 28 11:14:38 2021 R0: -53060813340179023191719629612258
  180. Thu Oct 28 11:14:38 2021 R1: 265493655314477309
  181. Thu Oct 28 11:14:38 2021 A0: -1927426400517915689628901925085143115447
  182. Thu Oct 28 11:14:38 2021 A1: 196624870527592519477331122405576
  183. Thu Oct 28 11:14:38 2021 A2: 1303593268370469772330978023
  184. Thu Oct 28 11:14:38 2021 A3: 156611506050084195684
  185. Thu Oct 28 11:14:38 2021 A4: -39305564040676
  186. Thu Oct 28 11:14:38 2021 A5: 307440
  187. Thu Oct 28 11:14:38 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5
  188. Thu Oct 28 11:14:38 2021
  189. Thu Oct 28 11:14:38 2021 commencing linear algebra
  190. Thu Oct 28 11:14:38 2021 using VBITS=128
  191. Thu Oct 28 11:14:38 2021 skipping matrix build
  192. Thu Oct 28 11:14:41 2021 matrix starts at (0, 0)
  193. Thu Oct 28 11:14:43 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col)
  194. Thu Oct 28 11:14:43 2021 sparse part has weight 771391781 (127.00/col)
  195. Thu Oct 28 11:14:43 2021 saving the first 112 matrix rows for later
  196. Thu Oct 28 11:14:44 2021 matrix includes 128 packed rows
  197. Thu Oct 28 11:14:46 2021 matrix is 6073429 x 6073719 (2961.9 MB) with weight 763551771 (125.71/col)
  198. Thu Oct 28 11:14:46 2021 sparse part has weight 703546580 (115.83/col)
  199. Thu Oct 28 11:14:46 2021 using GPU 0 (Tesla P100-PCIE-16GB)
  200. Thu Oct 28 11:14:46 2021 selected card has CUDA arch 6.0
  201. Thu Oct 28 11:16:43 2021
  202. Thu Oct 28 11:16:43 2021
  203. Thu Oct 28 11:16:43 2021 Msieve v. 1.54 (SVN unknown)
  204. Thu Oct 28 11:16:43 2021 random seeds: d8e5d5e6 acc9856a
  205. Thu Oct 28 11:16:43 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits)
  206. Thu Oct 28 11:16:44 2021 no P-1/P+1/ECM available, skipping
  207. Thu Oct 28 11:16:44 2021 commencing number field sieve (165-digit input)
  208. Thu Oct 28 11:16:44 2021 R0: -53060813340179023191719629612258
  209. Thu Oct 28 11:16:44 2021 R1: 265493655314477309
  210. Thu Oct 28 11:16:44 2021 A0: -1927426400517915689628901925085143115447
  211. Thu Oct 28 11:16:44 2021 A1: 196624870527592519477331122405576
  212. Thu Oct 28 11:16:44 2021 A2: 1303593268370469772330978023
  213. Thu Oct 28 11:16:44 2021 A3: 156611506050084195684
  214. Thu Oct 28 11:16:44 2021 A4: -39305564040676
  215. Thu Oct 28 11:16:44 2021 A5: 307440
  216. Thu Oct 28 11:16:44 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5
  217. Thu Oct 28 11:16:44 2021
  218. Thu Oct 28 11:16:44 2021 commencing linear algebra
  219. Thu Oct 28 11:16:44 2021 using VBITS=128
  220. Thu Oct 28 11:16:44 2021 skipping matrix build
  221. Thu Oct 28 11:17:08 2021 matrix starts at (0, 0)
  222. Thu Oct 28 11:17:10 2021 matrix is 6073541 x 6073719 (3220.7 MB) with weight 981093685 (161.53/col)
  223. Thu Oct 28 11:17:10 2021 sparse part has weight 771391781 (127.00/col)
  224. Thu Oct 28 11:17:10 2021 saving the first 112 matrix rows for later
  225. Thu Oct 28 11:17:11 2021 matrix includes 128 packed rows
  226. Thu Oct 28 11:17:13 2021 matrix is 6073429 x 6073719 (2961.9 MB) with weight 763551771 (125.71/col)
  227. Thu Oct 28 11:17:13 2021 sparse part has weight 703546580 (115.83/col)
  228. Thu Oct 28 11:17:14 2021 using GPU 0 (Tesla P100-PCIE-16GB)
  229. Thu Oct 28 11:17:14 2021 selected card has CUDA arch 6.0
  230. Thu Oct 28 11:18:41 2021 commencing Lanczos iteration
  231. Thu Oct 28 11:18:41 2021 memory use: 6201.7 MB
  232. Thu Oct 28 11:18:45 2021 linear algebra at 0.0%, ETA 3h18m
  233. Thu Oct 28 11:18:46 2021 checkpointing every 1840000 dimensions
  234. Thu Oct 28 14:50:31 2021 lanczos halted after 47737 iterations (dim = 6073427)
  235. Thu Oct 28 14:50:45 2021 recovered 31 nontrivial dependencies
  236. Thu Oct 28 14:50:45 2021 BLanczosTime: 12841
  237. Thu Oct 28 14:50:45 2021 elapsed time 03:34:02
  238. Thu Oct 28 14:56:17 2021
  239. Thu Oct 28 14:56:17 2021
  240. Thu Oct 28 14:56:17 2021 Msieve v. 1.54 (SVN 1043M)
  241. Thu Oct 28 14:56:17 2021 random seeds: 2bbbd2b2 081b45ad
  242. Thu Oct 28 14:56:17 2021 factoring 129309254362645436654431841786485270800924772901141471372907450814003971163629019906826054889335418975967447925305040966715668101905021751252341261809440237276246577 (165 digits)
  243. Thu Oct 28 14:56:18 2021 searching for 15-digit factors
  244. Thu Oct 28 14:56:18 2021 commencing number field sieve (165-digit input)
  245. Thu Oct 28 14:56:18 2021 R0: -53060813340179023191719629612258
  246. Thu Oct 28 14:56:18 2021 R1: 265493655314477309
  247. Thu Oct 28 14:56:18 2021 A0: -1927426400517915689628901925085143115447
  248. Thu Oct 28 14:56:18 2021 A1: 196624870527592519477331122405576
  249. Thu Oct 28 14:56:18 2021 A2: 1303593268370469772330978023
  250. Thu Oct 28 14:56:18 2021 A3: 156611506050084195684
  251. Thu Oct 28 14:56:18 2021 A4: -39305564040676
  252. Thu Oct 28 14:56:18 2021 A5: 307440
  253. Thu Oct 28 14:56:18 2021 skew 6048853.71, size 4.968e-16, alpha -7.505, combined = 7.379e-13 rroots = 5
  254. Thu Oct 28 14:56:18 2021
  255. Thu Oct 28 14:56:18 2021 commencing square root phase
  256. Thu Oct 28 14:56:18 2021 reading relations for dependency 1
  257. Thu Oct 28 14:56:38 2021 read 3036320 cycles
  258. Thu Oct 28 14:56:46 2021 cycles contain 10190130 unique relations
  259. Thu Oct 28 15:13:10 2021 read 10190130 relations
  260. Thu Oct 28 15:14:12 2021 multiplying 10190130 relations
  261. Thu Oct 28 15:25:24 2021 multiply complete, coefficients have about 587.32 million bits
  262. Thu Oct 28 15:25:27 2021 initial square root is modulo 185873
  263. Thu Oct 28 15:39:12 2021 sqrtTime: 2574
  264. Thu Oct 28 15:39:12 2021 p66 factor: 583567954095869895789975622656774149259222842804843371394808831451
  265. Thu Oct 28 15:39:12 2021 p99 factor: 221583884884470905511407950807790244164070541361443722777093191249986909593088161216065980098067427
  266. Thu Oct 28 15:39:12 2021 elapsed time 00:42:55
  267.  
  268.  
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