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Jun 6th, 2021
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  1. Thu Jun 3 20:57:55 2021
  2. Thu Jun 3 20:57:55 2021
  3. Thu Jun 3 20:57:55 2021 Msieve v. 1.54 (SVN 1025)
  4. Thu Jun 3 20:57:55 2021 random seeds: 831b5464 4bd64341
  5. Thu Jun 3 20:57:55 2021 factoring 31611660070456490382224706131401493319864059718886652424665169682915158793105366264810588578064638762785631008163196754519390595108351172174379587837888863559943908997060019835623426631 (185 digits)
  6. Thu Jun 3 20:57:56 2021 searching for 15-digit factors
  7. Thu Jun 3 20:57:57 2021 commencing number field sieve (185-digit input)
  8. Thu Jun 3 20:57:57 2021 R0: 1192138954661305932835795627438071053
  9. Thu Jun 3 20:57:57 2021 R1: -1
  10. Thu Jun 3 20:57:57 2021 A0: -1060333037237
  11. Thu Jun 3 20:57:57 2021 A1: 0
  12. Thu Jun 3 20:57:57 2021 A2: 0
  13. Thu Jun 3 20:57:57 2021 A3: 0
  14. Thu Jun 3 20:57:57 2021 A4: 0
  15. Thu Jun 3 20:57:57 2021 A5: 0
  16. Thu Jun 3 20:57:57 2021 A6: 1
  17. Thu Jun 3 20:57:57 2021 skew 100.98, size 4.873e-12, alpha 1.740, combined = 3.876e-13 rroots = 2
  18. Thu Jun 3 20:57:57 2021
  19. Thu Jun 3 20:57:57 2021 commencing relation filtering
  20. Thu Jun 3 20:57:57 2021 setting target matrix density to 132.0
  21. Thu Jun 3 20:57:57 2021 estimated available RAM is 16007.4 MB
  22. Thu Jun 3 20:57:57 2021 commencing duplicate removal, pass 1
  23. Thu Jun 3 21:06:37 2021 error -1 reading relation 60067856
  24. Thu Jun 3 21:06:37 2021 error -1 reading relation 60067857
  25. [ . . . deleted mostly error -1 & -11 - about 5300 records . . . ]
  26. Thu Jun 3 21:06:37 2021 error -1 reading relation 60073767
  27. Thu Jun 3 21:06:37 2021 error -11 reading relation 60073768
  28. Thu Jun 3 21:06:37 2021 error -15 reading relation 60073769
  29. Thu Jun 3 21:15:01 2021 error -15 reading relation 117377596
  30. Thu Jun 3 21:15:30 2021 error -15 reading relation 120748107
  31. Thu Jun 3 21:16:01 2021 skipped 21 relations with b > 2^32
  32. Thu Jun 3 21:16:01 2021 skipped 642 relations with composite factors
  33. Thu Jun 3 21:16:01 2021 found 6582968 hash collisions in 123459690 relations
  34. Thu Jun 3 21:16:13 2021 commencing duplicate removal, pass 2
  35. Thu Jun 3 21:17:11 2021 found 0 duplicates and 123459690 unique relations
  36. Thu Jun 3 21:17:11 2021 memory use: 378.4 MB
  37. Thu Jun 3 21:17:11 2021 reading ideals above 87883776
  38. Thu Jun 3 21:17:11 2021 commencing singleton removal, initial pass
  39. Thu Jun 3 21:32:36 2021 memory use: 2756.0 MB
  40. Thu Jun 3 21:32:36 2021 reading all ideals from disk
  41. Thu Jun 3 21:32:39 2021 memory use: 2210.7 MB
  42. Thu Jun 3 21:32:57 2021 commencing in-memory singleton removal
  43. Thu Jun 3 21:33:13 2021 begin with 123459690 relations and 88035913 unique ideals
  44. Thu Jun 3 21:35:44 2021 reduce to 98979500 relations and 62053295 ideals in 10 passes
  45. Thu Jun 3 21:35:44 2021 max relations containing the same ideal: 57
  46. Thu Jun 3 21:35:58 2021 reading ideals above 720000
  47. Thu Jun 3 21:35:58 2021 commencing singleton removal, initial pass
  48. Thu Jun 3 21:53:46 2021 memory use: 1506.0 MB
  49. Thu Jun 3 21:53:46 2021 reading all ideals from disk
  50. Thu Jun 3 21:53:56 2021 memory use: 3901.2 MB
  51. Thu Jun 3 21:54:30 2021 keeping 71723624 ideals with weight <= 200, target excess is 531818
  52. Thu Jun 3 21:55:02 2021 commencing in-memory singleton removal
  53. Thu Jun 3 21:55:29 2021 begin with 98979500 relations and 71723624 unique ideals
  54. Thu Jun 3 21:57:39 2021 reduce to 98978714 relations and 71722838 ideals in 5 passes
  55. Thu Jun 3 21:57:39 2021 max relations containing the same ideal: 200
  56. Thu Jun 3 21:59:27 2021 removing 7208624 relations and 5208624 ideals in 2000000 cliques
  57. Thu Jun 3 21:59:30 2021 commencing in-memory singleton removal
  58. Thu Jun 3 21:59:56 2021 begin with 91770090 relations and 71722838 unique ideals
  59. Thu Jun 3 22:02:44 2021 reduce to 91334163 relations and 66067199 ideals in 7 passes
  60. Thu Jun 3 22:02:44 2021 max relations containing the same ideal: 196
  61. Thu Jun 3 22:04:20 2021 removing 5862358 relations and 3862358 ideals in 2000000 cliques
  62. Thu Jun 3 22:04:24 2021 commencing in-memory singleton removal
  63. Thu Jun 3 22:04:41 2021 begin with 85471805 relations and 66067199 unique ideals
  64. Thu Jun 3 22:07:07 2021 reduce to 85175769 relations and 61902234 ideals in 8 passes
  65. Thu Jun 3 22:07:07 2021 max relations containing the same ideal: 192
  66. Thu Jun 3 22:08:21 2021 removing 5514358 relations and 3514358 ideals in 2000000 cliques
  67. Thu Jun 3 22:08:25 2021 commencing in-memory singleton removal
  68. Thu Jun 3 22:08:41 2021 begin with 79661411 relations and 61902234 unique ideals
  69. Thu Jun 3 22:10:21 2021 reduce to 79401540 relations and 58122251 ideals in 6 passes
  70. Thu Jun 3 22:10:21 2021 max relations containing the same ideal: 183
  71. Thu Jun 3 22:11:30 2021 removing 5338582 relations and 3338582 ideals in 2000000 cliques
  72. Thu Jun 3 22:11:33 2021 commencing in-memory singleton removal
  73. Thu Jun 3 22:11:48 2021 begin with 74062958 relations and 58122251 unique ideals
  74. Thu Jun 3 22:13:18 2021 reduce to 73816192 relations and 54531181 ideals in 6 passes
  75. Thu Jun 3 22:13:18 2021 max relations containing the same ideal: 174
  76. Thu Jun 3 22:14:21 2021 removing 5229782 relations and 3229782 ideals in 2000000 cliques
  77. Thu Jun 3 22:14:25 2021 commencing in-memory singleton removal
  78. Thu Jun 3 22:14:38 2021 begin with 68586410 relations and 54531181 unique ideals
  79. Thu Jun 3 22:15:45 2021 reduce to 68341323 relations and 51050512 ideals in 5 passes
  80. Thu Jun 3 22:15:45 2021 max relations containing the same ideal: 165
  81. Thu Jun 3 22:16:43 2021 removing 5163599 relations and 3163599 ideals in 2000000 cliques
  82. Thu Jun 3 22:16:46 2021 commencing in-memory singleton removal
  83. Thu Jun 3 22:16:58 2021 begin with 63177724 relations and 51050512 unique ideals
  84. Thu Jun 3 22:18:10 2021 reduce to 62926439 relations and 47629317 ideals in 6 passes
  85. Thu Jun 3 22:18:10 2021 max relations containing the same ideal: 158
  86. Thu Jun 3 22:19:01 2021 removing 5127631 relations and 3127631 ideals in 2000000 cliques
  87. Thu Jun 3 22:19:04 2021 commencing in-memory singleton removal
  88. Thu Jun 3 22:19:15 2021 begin with 57798808 relations and 47629317 unique ideals
  89. Thu Jun 3 22:20:20 2021 reduce to 57532770 relations and 44228413 ideals in 6 passes
  90. Thu Jun 3 22:20:20 2021 max relations containing the same ideal: 149
  91. Thu Jun 3 22:21:08 2021 removing 5111516 relations and 3111516 ideals in 2000000 cliques
  92. Thu Jun 3 22:21:11 2021 commencing in-memory singleton removal
  93. Thu Jun 3 22:21:20 2021 begin with 52421254 relations and 44228413 unique ideals
  94. Thu Jun 3 22:22:18 2021 reduce to 52134756 relations and 40821932 ideals in 6 passes
  95. Thu Jun 3 22:22:18 2021 max relations containing the same ideal: 140
  96. Thu Jun 3 22:23:01 2021 removing 5118464 relations and 3118464 ideals in 2000000 cliques
  97. Thu Jun 3 22:23:04 2021 commencing in-memory singleton removal
  98. Thu Jun 3 22:23:12 2021 begin with 47016292 relations and 40821932 unique ideals
  99. Thu Jun 3 22:24:00 2021 reduce to 46696305 relations and 37373213 ideals in 6 passes
  100. Thu Jun 3 22:24:00 2021 max relations containing the same ideal: 129
  101. Thu Jun 3 22:24:37 2021 removing 5149018 relations and 3149018 ideals in 2000000 cliques
  102. Thu Jun 3 22:24:40 2021 commencing in-memory singleton removal
  103. Thu Jun 3 22:24:47 2021 begin with 41547287 relations and 37373213 unique ideals
  104. Thu Jun 3 22:25:30 2021 reduce to 41181339 relations and 33845112 ideals in 6 passes
  105. Thu Jun 3 22:25:30 2021 max relations containing the same ideal: 119
  106. Thu Jun 3 22:26:03 2021 removing 5204374 relations and 3204374 ideals in 2000000 cliques
  107. Thu Jun 3 22:26:06 2021 commencing in-memory singleton removal
  108. Thu Jun 3 22:26:12 2021 begin with 35976965 relations and 33845112 unique ideals
  109. Thu Jun 3 22:26:55 2021 reduce to 35544371 relations and 30190728 ideals in 7 passes
  110. Thu Jun 3 22:26:55 2021 max relations containing the same ideal: 105
  111. Thu Jun 3 22:27:24 2021 removing 5290257 relations and 3290257 ideals in 2000000 cliques
  112. Thu Jun 3 22:27:26 2021 commencing in-memory singleton removal
  113. Thu Jun 3 22:27:32 2021 begin with 30254114 relations and 30190728 unique ideals
  114. Thu Jun 3 22:28:08 2021 reduce to 29723123 relations and 26344745 ideals in 7 passes
  115. Thu Jun 3 22:28:08 2021 max relations containing the same ideal: 96
  116. Thu Jun 3 22:28:32 2021 removing 5419880 relations and 3419880 ideals in 2000000 cliques
  117. Thu Jun 3 22:28:35 2021 commencing in-memory singleton removal
  118. Thu Jun 3 22:28:39 2021 begin with 24303243 relations and 26344745 unique ideals
  119. Thu Jun 3 22:29:15 2021 reduce to 23614229 relations and 22197047 ideals in 9 passes
  120. Thu Jun 3 22:29:15 2021 max relations containing the same ideal: 81
  121. Thu Jun 3 22:29:35 2021 removing 2637910 relations and 1837637 ideals in 800273 cliques
  122. Thu Jun 3 22:29:37 2021 commencing in-memory singleton removal
  123. Thu Jun 3 22:29:41 2021 begin with 20976319 relations and 22197047 unique ideals
  124. Thu Jun 3 22:30:09 2021 reduce to 20712172 relations and 20086779 ideals in 8 passes
  125. Thu Jun 3 22:30:09 2021 max relations containing the same ideal: 75
  126. Thu Jun 3 22:30:27 2021 removing 54870 relations and 46386 ideals in 8484 cliques
  127. Thu Jun 3 22:30:28 2021 commencing in-memory singleton removal
  128. Thu Jun 3 22:30:32 2021 begin with 20657302 relations and 20086779 unique ideals
  129. Thu Jun 3 22:30:46 2021 reduce to 20657176 relations and 20040267 ideals in 4 passes
  130. Thu Jun 3 22:30:46 2021 max relations containing the same ideal: 75
  131. Thu Jun 3 22:30:51 2021 relations with 0 large ideals: 20151
  132. Thu Jun 3 22:30:51 2021 relations with 1 large ideals: 5982
  133. Thu Jun 3 22:30:51 2021 relations with 2 large ideals: 82121
  134. Thu Jun 3 22:30:51 2021 relations with 3 large ideals: 541553
  135. Thu Jun 3 22:30:51 2021 relations with 4 large ideals: 1914876
  136. Thu Jun 3 22:30:51 2021 relations with 5 large ideals: 4052652
  137. Thu Jun 3 22:30:51 2021 relations with 6 large ideals: 5396812
  138. Thu Jun 3 22:30:51 2021 relations with 7+ large ideals: 8643029
  139. Thu Jun 3 22:30:51 2021 commencing 2-way merge
  140. Thu Jun 3 22:31:14 2021 reduce to 14096749 relation sets and 13479840 unique ideals
  141. Thu Jun 3 22:31:14 2021 commencing full merge
  142. Thu Jun 3 22:42:00 2021 memory use: 1871.0 MB
  143. Thu Jun 3 22:42:03 2021 found 6196486 cycles, need 6196040
  144. Thu Jun 3 22:42:06 2021 weight of 6196040 cycles is about 818398463 (132.08/cycle)
  145. Thu Jun 3 22:42:06 2021 distribution of cycle lengths:
  146. Thu Jun 3 22:42:06 2021 1 relations: 217613
  147. Thu Jun 3 22:42:06 2021 2 relations: 310706
  148. Thu Jun 3 22:42:06 2021 3 relations: 377366
  149. Thu Jun 3 22:42:06 2021 4 relations: 405561
  150. Thu Jun 3 22:42:06 2021 5 relations: 431781
  151. Thu Jun 3 22:42:06 2021 6 relations: 439570
  152. Thu Jun 3 22:42:06 2021 7 relations: 437925
  153. Thu Jun 3 22:42:06 2021 8 relations: 425913
  154. Thu Jun 3 22:42:06 2021 9 relations: 406107
  155. Thu Jun 3 22:42:06 2021 10+ relations: 2743498
  156. Thu Jun 3 22:42:06 2021 heaviest cycle: 28 relations
  157. Thu Jun 3 22:42:09 2021 commencing cycle optimization
  158. Thu Jun 3 22:42:33 2021 start with 59248623 relations
  159. Thu Jun 3 22:46:30 2021 pruned 3418647 relations
  160. Thu Jun 3 22:46:30 2021 memory use: 1463.7 MB
  161. Thu Jun 3 22:46:30 2021 distribution of cycle lengths:
  162. Thu Jun 3 22:46:30 2021 1 relations: 217613
  163. Thu Jun 3 22:46:30 2021 2 relations: 318986
  164. Thu Jun 3 22:46:30 2021 3 relations: 394586
  165. Thu Jun 3 22:46:30 2021 4 relations: 426075
  166. Thu Jun 3 22:46:30 2021 5 relations: 458480
  167. Thu Jun 3 22:46:30 2021 6 relations: 467067
  168. Thu Jun 3 22:46:30 2021 7 relations: 469533
  169. Thu Jun 3 22:46:30 2021 8 relations: 454767
  170. Thu Jun 3 22:46:30 2021 9 relations: 432772
  171. Thu Jun 3 22:46:30 2021 10+ relations: 2556161
  172. Thu Jun 3 22:46:30 2021 heaviest cycle: 28 relations
  173. Thu Jun 3 22:46:53 2021 RelProcTime: 6536
  174. Thu Jun 3 22:46:53 2021 elapsed time 01:48:58
  175. Fri Jun 4 05:30:21 2021
  176. Fri Jun 4 05:30:21 2021
  177. Fri Jun 4 05:30:21 2021 Msieve v. 1.54 (SVN 1025)
  178. Fri Jun 4 05:30:21 2021 random seeds: d0627f55 4ae0b9ff
  179. Fri Jun 4 05:30:21 2021 factoring 31611660070456490382224706131401493319864059718886652424665169682915158793105366264810588578064638762785631008163196754519390595108351172174379587837888863559943908997060019835623426631 (185 digits)
  180. Fri Jun 4 05:30:21 2021 searching for 15-digit factors
  181. Fri Jun 4 05:30:22 2021 commencing number field sieve (185-digit input)
  182. Fri Jun 4 05:30:22 2021 R0: 1192138954661305932835795627438071053
  183. Fri Jun 4 05:30:22 2021 R1: -1
  184. Fri Jun 4 05:30:22 2021 A0: -1060333037237
  185. Fri Jun 4 05:30:22 2021 A1: 0
  186. Fri Jun 4 05:30:22 2021 A2: 0
  187. Fri Jun 4 05:30:22 2021 A3: 0
  188. Fri Jun 4 05:30:22 2021 A4: 0
  189. Fri Jun 4 05:30:22 2021 A5: 0
  190. Fri Jun 4 05:30:22 2021 A6: 1
  191. Fri Jun 4 05:30:22 2021 skew 100.98, size 4.873e-12, alpha 1.740, combined = 3.876e-13 rroots = 2
  192. Fri Jun 4 05:30:22 2021
  193. Fri Jun 4 05:30:22 2021 commencing linear algebra
  194. Fri Jun 4 05:30:23 2021 read 6196040 cycles
  195. Fri Jun 4 05:30:43 2021 cycles contain 20365337 unique relations
  196. Fri Jun 4 05:32:57 2021 read 20365337 relations
  197. Fri Jun 4 05:34:13 2021 using 20 quadratic characters above 4294917295
  198. Fri Jun 4 05:35:36 2021 building initial matrix
  199. Fri Jun 4 05:43:34 2021 memory use: 2611.3 MB
  200. Fri Jun 4 05:43:39 2021 read 6196040 cycles
  201. Fri Jun 4 05:43:41 2021 matrix is 6195863 x 6196040 (3114.5 MB) with weight 879890193 (142.01/col)
  202. Fri Jun 4 05:43:41 2021 sparse part has weight 754487978 (121.77/col)
  203. Fri Jun 4 05:46:39 2021 filtering completed in 2 passes
  204. Fri Jun 4 05:46:41 2021 matrix is 6195835 x 6196012 (3114.5 MB) with weight 879889393 (142.01/col)
  205. Fri Jun 4 05:46:41 2021 sparse part has weight 754487718 (121.77/col)
  206. Fri Jun 4 05:47:13 2021 matrix starts at (0, 0)
  207. Fri Jun 4 05:47:14 2021 matrix is 6195835 x 6196012 (3114.5 MB) with weight 879889393 (142.01/col)
  208. Fri Jun 4 05:47:14 2021 sparse part has weight 754487718 (121.77/col)
  209. Fri Jun 4 05:47:14 2021 saving the first 48 matrix rows for later
  210. Fri Jun 4 05:47:15 2021 matrix includes 64 packed rows
  211. Fri Jun 4 05:47:16 2021 matrix is 6195787 x 6196012 (2982.9 MB) with weight 765726960 (123.58/col)
  212. Fri Jun 4 05:47:16 2021 sparse part has weight 719978502 (116.20/col)
  213. Fri Jun 4 05:47:16 2021 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  214. Fri Jun 4 05:47:35 2021 commencing Lanczos iteration (4 threads)
  215. Fri Jun 4 05:47:35 2021 memory use: 2813.2 MB
  216. Fri Jun 4 05:48:13 2021 linear algebra at 0.0%, ETA 40h48m
  217. Fri Jun 4 05:48:25 2021 checkpointing every 160000 dimensions
  218. Sat Jun 5 17:34:47 2021 lanczos halted after 97977 iterations (dim = 6195780)
  219. Sat Jun 5 17:34:57 2021 recovered 33 nontrivial dependencies
  220. Sat Jun 5 17:34:57 2021 BLanczosTime: 129875
  221. Sat Jun 5 17:34:57 2021
  222. Sat Jun 5 17:34:57 2021 commencing square root phase
  223. Sat Jun 5 17:34:57 2021 reading relations for dependency 1
  224. Sat Jun 5 17:34:58 2021 read 3097081 cycles
  225. Sat Jun 5 17:35:03 2021 cycles contain 10180812 unique relations
  226. Sat Jun 5 17:36:04 2021 read 10180812 relations
  227. Sat Jun 5 17:36:42 2021 multiplying 10180812 relations
  228. Sat Jun 5 17:44:19 2021 multiply complete, coefficients have about 292.16 million bits
  229. Sat Jun 5 17:44:20 2021 initial square root is modulo 174763
  230. Sat Jun 5 17:55:28 2021 found factor: 68326533122961740953928435218795914863371861980721700662383368837
  231. Sat Jun 5 17:55:28 2021 reading relations for dependency 2
  232. Sat Jun 5 17:55:29 2021 read 3094854 cycles
  233. Sat Jun 5 17:55:39 2021 cycles contain 10177486 unique relations
  234. Sat Jun 5 17:56:53 2021 read 10177486 relations
  235. Sat Jun 5 17:57:57 2021 multiplying 10177486 relations
  236. Sat Jun 5 18:07:24 2021 multiply complete, coefficients have about 292.07 million bits
  237. Sat Jun 5 18:07:25 2021 initial square root is modulo 174067
  238. Sat Jun 5 18:18:50 2021 GCD is 1, no factor found
  239. Sat Jun 5 18:18:50 2021 reading relations for dependency 3
  240. Sat Jun 5 18:18:50 2021 read 3096549 cycles
  241. Sat Jun 5 18:19:00 2021 cycles contain 10180260 unique relations
  242. Sat Jun 5 18:20:19 2021 read 10180260 relations
  243. Sat Jun 5 18:21:25 2021 multiplying 10180260 relations
  244. Sat Jun 5 18:30:51 2021 multiply complete, coefficients have about 292.15 million bits
  245. Sat Jun 5 18:30:52 2021 initial square root is modulo 174637
  246. Sat Jun 5 18:42:15 2021 GCD is N, no factor found
  247. Sat Jun 5 18:42:15 2021 reading relations for dependency 4
  248. Sat Jun 5 18:42:15 2021 read 3098051 cycles
  249. Sat Jun 5 18:42:25 2021 cycles contain 10179424 unique relations
  250. Sat Jun 5 18:43:44 2021 read 10179424 relations
  251. Sat Jun 5 18:44:50 2021 multiplying 10179424 relations
  252. Sat Jun 5 18:54:14 2021 multiply complete, coefficients have about 292.13 million bits
  253. Sat Jun 5 18:54:16 2021 initial square root is modulo 174583
  254. Sat Jun 5 19:05:36 2021 sqrtTime: 5439
  255. Sat Jun 5 19:05:36 2021 p54 factor: 548207726257166653540312782551918926351974893667409999
  256. Sat Jun 5 19:05:36 2021 p65 factor: 68326533122961740953928435218795914863371861980721700662383368837
  257. Sat Jun 5 19:05:36 2021 p66 factor: 843942320979507462120629873253395656105843709220445963959606077237
  258. Sat Jun 5 19:05:36 2021 elapsed time 37:35:15
  259.  
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