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Oct 2nd, 2022
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  1. Sun Oct 2 11:35:26 2022
  2. Sun Oct 2 11:35:26 2022
  3. Sun Oct 2 11:35:26 2022 Msieve v. 1.54 (SVN unknown)
  4. Sun Oct 2 11:35:26 2022 random seeds: 6935beba fe2b45a3
  5. Sun Oct 2 11:35:26 2022 factoring 479997675371566508012116397954554151185920157133785715995605902715734356071413419630755029113057569989638996427419445937752909467028151487665362583627381236587716882241 (168 digits)
  6. Sun Oct 2 11:35:27 2022 searching for 15-digit factors
  7. Sun Oct 2 11:35:27 2022 commencing number field sieve (168-digit input)
  8. Sun Oct 2 11:35:27 2022 R0: -518632982182829025328913494470354
  9. Sun Oct 2 11:35:27 2022 R1: 65478461370689297
  10. Sun Oct 2 11:35:27 2022 A0: 3244787399662329815032658475396031643546363
  11. Sun Oct 2 11:35:27 2022 A1: 1938884008252625169236175878029579329
  12. Sun Oct 2 11:35:27 2022 A2: -68628897256567631078463320677
  13. Sun Oct 2 11:35:27 2022 A3: -521359176148822777161
  14. Sun Oct 2 11:35:27 2022 A4: 5409824979674
  15. Sun Oct 2 11:35:27 2022 A5: 12792
  16. Sun Oct 2 11:35:27 2022 skew 105355368.15, size 2.119e-16, alpha -8.506, combined = 4.441e-13 rroots = 5
  17. Sun Oct 2 11:35:27 2022
  18. Sun Oct 2 11:35:27 2022 commencing relation filtering
  19. Sun Oct 2 11:35:27 2022 setting target matrix density to 130.0
  20. Sun Oct 2 11:35:27 2022 estimated available RAM is 31078.7 MB
  21. Sun Oct 2 11:35:27 2022 commencing duplicate removal, pass 1
  22. Sun Oct 2 11:35:31 2022 error -1 reading relation 884775
  23. Sun Oct 2 11:35:31 2022 error -15 reading relation 999566
  24. Sun Oct 2 11:35:47 2022 error -9 reading relation 5671418
  25. Sun Oct 2 11:35:47 2022 error -15 reading relation 5679163
  26. Sun Oct 2 11:36:14 2022 error -9 reading relation 14784141
  27. Sun Oct 2 11:36:27 2022 error -1 reading relation 19333238
  28. Sun Oct 2 11:36:31 2022 error -9 reading relation 20703764
  29. Sun Oct 2 11:37:01 2022 error -9 reading relation 31903674
  30. Sun Oct 2 11:37:45 2022 error -1 reading relation 48143174
  31. Sun Oct 2 11:37:48 2022 error -15 reading relation 49453350
  32. Sun Oct 2 11:37:59 2022 error -9 reading relation 54802707
  33. Sun Oct 2 11:38:04 2022 error -15 reading relation 57510886
  34. Sun Oct 2 11:38:09 2022 error -9 reading relation 60026105
  35. Sun Oct 2 11:38:12 2022 error -1 reading relation 61445688
  36. Sun Oct 2 11:38:20 2022 error -1 reading relation 65295417
  37. Sun Oct 2 11:38:24 2022 error -9 reading relation 67382114
  38. Sun Oct 2 11:38:24 2022 error -15 reading relation 67393415
  39. Sun Oct 2 11:38:24 2022 error -15 reading relation 67397975
  40. Sun Oct 2 11:38:28 2022 error -9 reading relation 69516843
  41. Sun Oct 2 11:38:30 2022 error -15 reading relation 70564005
  42. Sun Oct 2 11:38:35 2022 error -15 reading relation 73335141
  43. Sun Oct 2 11:38:42 2022 error -9 reading relation 76693737
  44. Sun Oct 2 11:38:48 2022 error -15 reading relation 79801606
  45. Sun Oct 2 11:38:56 2022 error -15 reading relation 84196164
  46. Sun Oct 2 11:38:57 2022 error -1 reading relation 84525960
  47. Sun Oct 2 11:38:59 2022 error -15 reading relation 85526800
  48. Sun Oct 2 11:39:01 2022 error -15 reading relation 86803629
  49. Sun Oct 2 11:39:02 2022 error -15 reading relation 87032209
  50. Sun Oct 2 11:39:02 2022 error -9 reading relation 87088577
  51. Sun Oct 2 11:39:18 2022 error -5 reading relation 95087670
  52. Sun Oct 2 11:39:24 2022 error -1 reading relation 98563980
  53. Sun Oct 2 11:39:24 2022 error -15 reading relation 98570272
  54. Sun Oct 2 11:39:25 2022 error -15 reading relation 98815758
  55. Sun Oct 2 11:39:30 2022 error -15 reading relation 101356151
  56. Sun Oct 2 11:39:35 2022 error -9 reading relation 103907050
  57. Sun Oct 2 11:39:41 2022 error -9 reading relation 107012465
  58. Sun Oct 2 11:39:41 2022 error -9 reading relation 107015144
  59. Sun Oct 2 11:39:43 2022 error -15 reading relation 108176581
  60. Sun Oct 2 11:39:43 2022 error -15 reading relation 108183208
  61. Sun Oct 2 11:39:44 2022 error -9 reading relation 108514754
  62. Sun Oct 2 11:39:44 2022 error -9 reading relation 108549861
  63. Sun Oct 2 11:39:51 2022 error -9 reading relation 112160892
  64. Sun Oct 2 11:39:53 2022 error -1 reading relation 113376383
  65. Sun Oct 2 11:39:55 2022 error -15 reading relation 114308342
  66. Sun Oct 2 11:39:59 2022 error -9 reading relation 116180137
  67. Sun Oct 2 11:40:00 2022 error -9 reading relation 116763280
  68. Sun Oct 2 11:40:03 2022 error -15 reading relation 118098886
  69. Sun Oct 2 11:40:04 2022 error -1 reading relation 118697493
  70. Sun Oct 2 11:40:10 2022 error -9 reading relation 121586949
  71. Sun Oct 2 11:40:17 2022 error -1 reading relation 125380429
  72. Sun Oct 2 11:40:20 2022 error -15 reading relation 127052694
  73. Sun Oct 2 11:40:22 2022 error -15 reading relation 127719707
  74. Sun Oct 2 11:40:24 2022 error -9 reading relation 128752134
  75. Sun Oct 2 11:40:24 2022 error -5 reading relation 129057443
  76. Sun Oct 2 11:40:26 2022 error -1 reading relation 129933682
  77. Sun Oct 2 11:40:26 2022 error -15 reading relation 130022267
  78. Sun Oct 2 11:40:26 2022 error -9 reading relation 130190195
  79. Sun Oct 2 11:40:27 2022 error -15 reading relation 130274312
  80. Sun Oct 2 11:40:27 2022 error -9 reading relation 130284887
  81. Sun Oct 2 11:40:36 2022 error -9 reading relation 134865404
  82. Sun Oct 2 11:40:37 2022 skipped 26 relations with composite factors
  83. Sun Oct 2 11:40:37 2022 found 28273320 hash collisions in 135460290 relations
  84. Sun Oct 2 11:41:03 2022 commencing duplicate removal, pass 2
  85. Sun Oct 2 11:43:32 2022 found 27592041 duplicates and 107868249 unique relations
  86. Sun Oct 2 11:43:32 2022 memory use: 724.8 MB
  87. Sun Oct 2 11:43:33 2022 reading ideals above 720000
  88. Sun Oct 2 11:43:33 2022 commencing singleton removal, initial pass
  89. Sun Oct 2 11:50:15 2022 memory use: 2756.0 MB
  90. Sun Oct 2 11:50:15 2022 reading all ideals from disk
  91. Sun Oct 2 11:50:17 2022 memory use: 4989.5 MB
  92. Sun Oct 2 11:50:30 2022 keeping 92808553 ideals with weight <= 200, target excess is 605385
  93. Sun Oct 2 11:50:43 2022 commencing in-memory singleton removal
  94. Sun Oct 2 11:50:46 2022 begin with 107868249 relations and 92808553 unique ideals
  95. Sun Oct 2 11:50:55 2022 reduce to 76488966 relations and 58736872 ideals in 12 passes
  96. Sun Oct 2 11:50:55 2022 max relations containing the same ideal: 169
  97. Sun Oct 2 11:51:18 2022 removing 8247928 relations and 6247928 ideals in 2000000 cliques
  98. Sun Oct 2 11:51:22 2022 commencing in-memory singleton removal
  99. Sun Oct 2 11:51:24 2022 begin with 68241038 relations and 58736872 unique ideals
  100. Sun Oct 2 11:51:29 2022 reduce to 67555035 relations and 51781489 ideals in 8 passes
  101. Sun Oct 2 11:51:29 2022 max relations containing the same ideal: 153
  102. Sun Oct 2 11:51:50 2022 removing 6543420 relations and 4543420 ideals in 2000000 cliques
  103. Sun Oct 2 11:51:53 2022 commencing in-memory singleton removal
  104. Sun Oct 2 11:51:54 2022 begin with 61011615 relations and 51781489 unique ideals
  105. Sun Oct 2 11:51:58 2022 reduce to 60528746 relations and 46741334 ideals in 7 passes
  106. Sun Oct 2 11:51:58 2022 max relations containing the same ideal: 145
  107. Sun Oct 2 11:52:17 2022 removing 6095231 relations and 4095231 ideals in 2000000 cliques
  108. Sun Oct 2 11:52:20 2022 commencing in-memory singleton removal
  109. Sun Oct 2 11:52:21 2022 begin with 54433515 relations and 46741334 unique ideals
  110. Sun Oct 2 11:52:24 2022 reduce to 53995843 relations and 42195248 ideals in 6 passes
  111. Sun Oct 2 11:52:24 2022 max relations containing the same ideal: 135
  112. Sun Oct 2 11:52:41 2022 removing 5882952 relations and 3882952 ideals in 2000000 cliques
  113. Sun Oct 2 11:52:44 2022 commencing in-memory singleton removal
  114. Sun Oct 2 11:52:45 2022 begin with 48112891 relations and 42195248 unique ideals
  115. Sun Oct 2 11:52:48 2022 reduce to 47680354 relations and 37865828 ideals in 8 passes
  116. Sun Oct 2 11:52:48 2022 max relations containing the same ideal: 125
  117. Sun Oct 2 11:53:04 2022 removing 5759437 relations and 3759437 ideals in 2000000 cliques
  118. Sun Oct 2 11:53:06 2022 commencing in-memory singleton removal
  119. Sun Oct 2 11:53:07 2022 begin with 41920917 relations and 37865828 unique ideals
  120. Sun Oct 2 11:53:10 2022 reduce to 41471374 relations and 33640835 ideals in 8 passes
  121. Sun Oct 2 11:53:10 2022 max relations containing the same ideal: 114
  122. Sun Oct 2 11:53:23 2022 removing 5695923 relations and 3695923 ideals in 2000000 cliques
  123. Sun Oct 2 11:53:26 2022 commencing in-memory singleton removal
  124. Sun Oct 2 11:53:27 2022 begin with 35775451 relations and 33640835 unique ideals
  125. Sun Oct 2 11:53:28 2022 reduce to 35284052 relations and 29433522 ideals in 6 passes
  126. Sun Oct 2 11:53:28 2022 max relations containing the same ideal: 104
  127. Sun Oct 2 11:53:40 2022 removing 5669961 relations and 3669961 ideals in 2000000 cliques
  128. Sun Oct 2 11:53:43 2022 commencing in-memory singleton removal
  129. Sun Oct 2 11:53:43 2022 begin with 29614091 relations and 29433522 unique ideals
  130. Sun Oct 2 11:53:45 2022 reduce to 29051631 relations and 25174796 ideals in 8 passes
  131. Sun Oct 2 11:53:45 2022 max relations containing the same ideal: 90
  132. Sun Oct 2 11:53:55 2022 removing 5679720 relations and 3679720 ideals in 2000000 cliques
  133. Sun Oct 2 11:53:57 2022 commencing in-memory singleton removal
  134. Sun Oct 2 11:53:58 2022 begin with 23371911 relations and 25174796 unique ideals
  135. Sun Oct 2 11:53:59 2022 reduce to 22691537 relations and 20775819 ideals in 9 passes
  136. Sun Oct 2 11:53:59 2022 max relations containing the same ideal: 79
  137. Sun Oct 2 11:54:07 2022 removing 3791442 relations and 2577971 ideals in 1213471 cliques
  138. Sun Oct 2 11:54:09 2022 commencing in-memory singleton removal
  139. Sun Oct 2 11:54:09 2022 begin with 18900095 relations and 20775819 unique ideals
  140. Sun Oct 2 11:54:11 2022 reduce to 18469465 relations and 17747374 ideals in 8 passes
  141. Sun Oct 2 11:54:11 2022 max relations containing the same ideal: 67
  142. Sun Oct 2 11:54:17 2022 removing 123326 relations and 103482 ideals in 19844 cliques
  143. Sun Oct 2 11:54:18 2022 commencing in-memory singleton removal
  144. Sun Oct 2 11:54:18 2022 begin with 18346139 relations and 17747374 unique ideals
  145. Sun Oct 2 11:54:19 2022 reduce to 18345596 relations and 17643349 ideals in 6 passes
  146. Sun Oct 2 11:54:19 2022 max relations containing the same ideal: 66
  147. Sun Oct 2 11:54:22 2022 relations with 0 large ideals: 1977
  148. Sun Oct 2 11:54:22 2022 relations with 1 large ideals: 11052
  149. Sun Oct 2 11:54:22 2022 relations with 2 large ideals: 146600
  150. Sun Oct 2 11:54:22 2022 relations with 3 large ideals: 841302
  151. Sun Oct 2 11:54:22 2022 relations with 4 large ideals: 2539797
  152. Sun Oct 2 11:54:22 2022 relations with 5 large ideals: 4487939
  153. Sun Oct 2 11:54:22 2022 relations with 6 large ideals: 4938905
  154. Sun Oct 2 11:54:22 2022 relations with 7+ large ideals: 5378024
  155. Sun Oct 2 11:54:22 2022 commencing 2-way merge
  156. Sun Oct 2 11:54:30 2022 reduce to 12154003 relation sets and 11451756 unique ideals
  157. Sun Oct 2 11:54:30 2022 commencing full merge
  158. Sun Oct 2 11:58:41 2022 memory use: 1484.1 MB
  159. Sun Oct 2 11:58:42 2022 found 5441281 cycles, need 5385956
  160. Sun Oct 2 11:58:44 2022 weight of 5385956 cycles is about 700480581 (130.06/cycle)
  161. Sun Oct 2 11:58:44 2022 distribution of cycle lengths:
  162. Sun Oct 2 11:58:44 2022 1 relations: 148717
  163. Sun Oct 2 11:58:44 2022 2 relations: 273945
  164. Sun Oct 2 11:58:44 2022 3 relations: 348271
  165. Sun Oct 2 11:58:44 2022 4 relations: 379330
  166. Sun Oct 2 11:58:44 2022 5 relations: 409556
  167. Sun Oct 2 11:58:44 2022 6 relations: 416245
  168. Sun Oct 2 11:58:44 2022 7 relations: 411595
  169. Sun Oct 2 11:58:44 2022 8 relations: 400465
  170. Sun Oct 2 11:58:44 2022 9 relations: 376556
  171. Sun Oct 2 11:58:44 2022 10+ relations: 2221276
  172. Sun Oct 2 11:58:44 2022 heaviest cycle: 28 relations
  173. Sun Oct 2 11:58:46 2022 commencing cycle optimization
  174. Sun Oct 2 11:58:57 2022 start with 48749200 relations
  175. Sun Oct 2 12:00:42 2022 pruned 2595048 relations
  176. Sun Oct 2 12:00:42 2022 memory use: 1259.0 MB
  177. Sun Oct 2 12:00:42 2022 distribution of cycle lengths:
  178. Sun Oct 2 12:00:42 2022 1 relations: 148717
  179. Sun Oct 2 12:00:42 2022 2 relations: 282333
  180. Sun Oct 2 12:00:42 2022 3 relations: 365554
  181. Sun Oct 2 12:00:42 2022 4 relations: 399243
  182. Sun Oct 2 12:00:42 2022 5 relations: 434722
  183. Sun Oct 2 12:00:42 2022 6 relations: 442092
  184. Sun Oct 2 12:00:42 2022 7 relations: 440324
  185. Sun Oct 2 12:00:42 2022 8 relations: 424802
  186. Sun Oct 2 12:00:42 2022 9 relations: 398293
  187. Sun Oct 2 12:00:42 2022 10+ relations: 2049876
  188. Sun Oct 2 12:00:42 2022 heaviest cycle: 28 relations
  189. Sun Oct 2 12:00:54 2022 RelProcTime: 1527
  190. Sun Oct 2 12:00:54 2022
  191. Sun Oct 2 12:00:54 2022 commencing linear algebra
  192. Sun Oct 2 12:00:54 2022 using VBITS=256
  193. Sun Oct 2 12:00:54 2022 read 5385956 cycles
  194. Sun Oct 2 12:01:07 2022 cycles contain 18001989 unique relations
  195. Sun Oct 2 12:03:05 2022 read 18001989 relations
  196. Sun Oct 2 12:03:07 2022 using 20 quadratic characters above 4294917295
  197. Sun Oct 2 12:03:14 2022 building initial matrix
  198. Sun Oct 2 12:07:27 2022 memory use: 2605.7 MB
  199. Sun Oct 2 12:07:30 2022 read 5385956 cycles
  200. Sun Oct 2 12:07:31 2022 matrix is 5385779 x 5385956 (2699.0 MB) with weight 833930615 (154.83/col)
  201. Sun Oct 2 12:07:31 2022 sparse part has weight 642894099 (119.36/col)
  202. Sun Oct 2 12:08:37 2022 filtering completed in 2 passes
  203. Sun Oct 2 12:08:38 2022 matrix is 5385632 x 5385809 (2699.0 MB) with weight 833921053 (154.84/col)
  204. Sun Oct 2 12:08:38 2022 sparse part has weight 642890114 (119.37/col)
  205. Sun Oct 2 12:09:10 2022 matrix starts at (0, 0)
  206. Sun Oct 2 12:09:11 2022 matrix is 5385632 x 5385809 (2699.0 MB) with weight 833921053 (154.84/col)
  207. Sun Oct 2 12:09:11 2022 sparse part has weight 642890114 (119.37/col)
  208. Sun Oct 2 12:09:11 2022 saving the first 240 matrix rows for later
  209. Sun Oct 2 12:09:13 2022 matrix includes 256 packed rows
  210. Sun Oct 2 12:09:15 2022 matrix is 5385392 x 5385809 (2428.6 MB) with weight 589046171 (109.37/col)
  211. Sun Oct 2 12:09:15 2022 sparse part has weight 550463763 (102.21/col)
  212. Sun Oct 2 12:09:15 2022 using block size 8192 and superblock size 608256 for processor cache size 25344 kB
  213. Sun Oct 2 12:09:28 2022 commencing Lanczos iteration (16 threads)
  214. Sun Oct 2 12:09:28 2022 memory use: 3258.1 MB
  215. Sun Oct 2 12:11:47 2022 linear algebra at 0.6%, ETA 6h39m
  216. Sun Oct 2 12:15:12 2022 checking every 10000 dimensions, checkpointing every 810000 dimensions
  217. Sun Oct 2 18:52:27 2022 lanczos halted after 21101 iterations (dim = 5385391)
  218. Sun Oct 2 18:52:50 2022 recovered 29 nontrivial dependencies
  219. Sun Oct 2 18:52:50 2022 BLanczosTime: 24716
  220. Sun Oct 2 18:52:50 2022
  221. Sun Oct 2 18:52:50 2022 commencing square root phase
  222. Sun Oct 2 18:52:50 2022 handling dependencies 1 to 64
  223. Sun Oct 2 18:52:50 2022 reading relations for dependency 1
  224. Sun Oct 2 18:52:50 2022 read 2693286 cycles
  225. Sun Oct 2 18:52:56 2022 cycles contain 9001284 unique relations
  226. Sun Oct 2 18:55:11 2022 read 9001284 relations
  227. Sun Oct 2 18:56:07 2022 multiplying 9001284 relations
  228. Sun Oct 2 19:03:52 2022 multiply complete, coefficients have about 485.89 million bits
  229. Sun Oct 2 19:03:54 2022 initial square root is modulo 522915553
  230. Sun Oct 2 19:10:06 2022 GCD is N, no factor found
  231. Sun Oct 2 19:10:06 2022 reading relations for dependency 2
  232. Sun Oct 2 19:10:07 2022 read 2693698 cycles
  233. Sun Oct 2 19:10:14 2022 cycles contain 9003812 unique relations
  234. Sun Oct 2 19:12:45 2022 read 9003812 relations
  235. Sun Oct 2 19:13:42 2022 multiplying 9003812 relations
  236. Sun Oct 2 19:21:17 2022 multiply complete, coefficients have about 486.03 million bits
  237. Sun Oct 2 19:21:20 2022 initial square root is modulo 525949909
  238. Sun Oct 2 19:27:24 2022 GCD is N, no factor found
  239. Sun Oct 2 19:27:24 2022 reading relations for dependency 3
  240. Sun Oct 2 19:27:24 2022 read 2692521 cycles
  241. Sun Oct 2 19:27:32 2022 cycles contain 9001190 unique relations
  242. Sun Oct 2 19:30:09 2022 read 9001190 relations
  243. Sun Oct 2 19:31:04 2022 multiplying 9001190 relations
  244. Sun Oct 2 19:38:40 2022 multiply complete, coefficients have about 485.89 million bits
  245. Sun Oct 2 19:38:43 2022 initial square root is modulo 522816731
  246. Sun Oct 2 19:44:46 2022 GCD is 1, no factor found
  247. Sun Oct 2 19:44:46 2022 reading relations for dependency 4
  248. Sun Oct 2 19:44:47 2022 read 2690214 cycles
  249. Sun Oct 2 19:44:54 2022 cycles contain 8996774 unique relations
  250. Sun Oct 2 19:47:32 2022 read 8996774 relations
  251. Sun Oct 2 19:48:32 2022 multiplying 8996774 relations
  252. Sun Oct 2 19:56:18 2022 multiply complete, coefficients have about 485.65 million bits
  253. Sun Oct 2 19:56:21 2022 initial square root is modulo 517750819
  254. Sun Oct 2 20:02:32 2022 GCD is 1, no factor found
  255. Sun Oct 2 20:02:32 2022 reading relations for dependency 5
  256. Sun Oct 2 20:02:33 2022 read 2691576 cycles
  257. Sun Oct 2 20:02:40 2022 cycles contain 8998244 unique relations
  258. Sun Oct 2 20:05:17 2022 read 8998244 relations
  259. Sun Oct 2 20:06:14 2022 multiplying 8998244 relations
  260. Sun Oct 2 20:13:47 2022 multiply complete, coefficients have about 485.73 million bits
  261. Sun Oct 2 20:13:50 2022 initial square root is modulo 519468331
  262. Sun Oct 2 20:19:57 2022 sqrtTime: 5227
  263. Sun Oct 2 20:19:57 2022 p51 factor: 141348295683719994890634396682097982059659785075931
  264. Sun Oct 2 20:19:57 2022 p118 factor: 3395850463210438064757111043026016708289824344153671135948047876347280264563042766372318669229385040723148381323637011
  265. Sun Oct 2 20:19:57 2022 elapsed time 08:44:31
  266.  
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