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Jul 4th, 2022
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  1. Tue Jun 28 11:40:42 2022
  2. Tue Jun 28 11:40:42 2022
  3. Tue Jun 28 11:40:42 2022 Msieve v. 1.52 (SVN unknown)
  4. Tue Jun 28 11:40:42 2022 random seeds: cd8850c0 c92ccef6
  5. Tue Jun 28 11:40:42 2022 factoring 811906126251149517485623543493976998023446505703536773689402903984844438143768586668145173611203973526704702934168520065442265714971524197483093847725131292413868213004480062414702622525149246408593863357 (204 digits)
  6. Tue Jun 28 11:40:43 2022 no P-1/P+1/ECM available, skipping
  7. Tue Jun 28 11:40:43 2022 commencing number field sieve (204-digit input)
  8. Tue Jun 28 11:40:43 2022 R0: 602400691612421918536387328824478011400331731
  9. Tue Jun 28 11:40:43 2022 R1: -680564733841876926926749214863536422912
  10. Tue Jun 28 11:40:43 2022 A0: 11
  11. Tue Jun 28 11:40:43 2022 A1: 0
  12. Tue Jun 28 11:40:43 2022 A2: 0
  13. Tue Jun 28 11:40:43 2022 A3: 0
  14. Tue Jun 28 11:40:43 2022 A4: 0
  15. Tue Jun 28 11:40:43 2022 A5: 0
  16. Tue Jun 28 11:40:43 2022 A6: 8
  17. Tue Jun 28 11:40:43 2022 skew 1.05, size 2.954e-013, alpha 0.480, combined = 4.622e-014 rroots = 0
  18. Tue Jun 28 11:40:43 2022
  19. Tue Jun 28 11:40:43 2022 commencing relation filtering
  20. Tue Jun 28 11:40:43 2022 setting target matrix density to 122.0
  21. Tue Jun 28 11:40:43 2022 estimated available RAM is 130978.7 MB
  22. Tue Jun 28 11:40:43 2022 commencing duplicate removal, pass 1
  23. Tue Jun 28 11:40:50 2022 error -15 reading relation 782585
  24. Tue Jun 28 11:40:52 2022 error -15 reading relation 1023924
  25. Tue Jun 28 11:40:52 2022 error -1 reading relation 1023925
  26. Tue Jun 28 11:40:53 2022 error -9 reading relation 1061285
  27. Tue Jun 28 12:35:43 2022 error -1 reading relation 375085397
  28. Tue Jun 28 12:35:49 2022 error -15 reading relation 375740797
  29. Tue Jun 28 12:35:51 2022 error -15 reading relation 376052237
  30. Tue Jun 28 12:35:52 2022 error -9 reading relation 376107513
  31. Tue Jun 28 12:35:52 2022 error -15 reading relation 376107568
  32. Tue Jun 28 12:35:53 2022 skipped 1757 relations with b > 2^32
  33. Tue Jun 28 12:35:53 2022 found 86064135 hash collisions in 376259125 relations
  34. Tue Jun 28 12:36:18 2022 added 1218432 free relations
  35. Tue Jun 28 12:36:18 2022 commencing duplicate removal, pass 2
  36. Tue Jun 28 12:39:35 2022 found 87338351 duplicates and 290139206 unique relations
  37. Tue Jun 28 12:39:35 2022 memory use: 2387.0 MB
  38. Tue Jun 28 12:39:35 2022 reading ideals above 720000
  39. Tue Jun 28 12:39:35 2022 commencing singleton removal, initial pass
  40. Tue Jun 28 13:37:09 2022 memory use: 6024.0 MB
  41. Tue Jun 28 13:37:09 2022 reading all ideals from disk
  42. Tue Jun 28 13:37:14 2022 memory use: 12236.9 MB
  43. Tue Jun 28 13:38:20 2022 keeping 259519722 ideals with weight <= 200, target excess is 1485684
  44. Tue Jun 28 13:39:28 2022 commencing in-memory singleton removal
  45. Tue Jun 28 13:40:17 2022 begin with 290139206 relations and 259519722 unique ideals
  46. Tue Jun 28 13:48:06 2022 reduce to 201727422 relations and 163363100 ideals in 14 passes
  47. Tue Jun 28 13:48:06 2022 max relations containing the same ideal: 171
  48. Tue Jun 28 13:50:29 2022 removing 11489155 relations and 9489155 ideals in 2000000 cliques
  49. Tue Jun 28 13:50:33 2022 commencing in-memory singleton removal
  50. Tue Jun 28 13:51:03 2022 begin with 190238267 relations and 163363100 unique ideals
  51. Tue Jun 28 13:54:48 2022 reduce to 189717196 relations and 153345794 ideals in 8 passes
  52. Tue Jun 28 13:54:48 2022 max relations containing the same ideal: 165
  53. Tue Jun 28 13:56:55 2022 removing 8783533 relations and 6783533 ideals in 2000000 cliques
  54. Tue Jun 28 13:56:58 2022 commencing in-memory singleton removal
  55. Tue Jun 28 13:57:26 2022 begin with 180933663 relations and 153345794 unique ideals
  56. Tue Jun 28 14:00:59 2022 reduce to 180592892 relations and 146217561 ideals in 8 passes
  57. Tue Jun 28 14:00:59 2022 max relations containing the same ideal: 158
  58. Tue Jun 28 14:03:00 2022 removing 7949395 relations and 5949395 ideals in 2000000 cliques
  59. Tue Jun 28 14:03:04 2022 commencing in-memory singleton removal
  60. Tue Jun 28 14:03:30 2022 begin with 172643497 relations and 146217561 unique ideals
  61. Tue Jun 28 14:06:28 2022 reduce to 172346682 relations and 139968073 ideals in 7 passes
  62. Tue Jun 28 14:06:28 2022 max relations containing the same ideal: 155
  63. Tue Jun 28 14:08:23 2022 removing 7508600 relations and 5508600 ideals in 2000000 cliques
  64. Tue Jun 28 14:08:26 2022 commencing in-memory singleton removal
  65. Tue Jun 28 14:08:51 2022 begin with 164838082 relations and 139968073 unique ideals
  66. Tue Jun 28 14:11:37 2022 reduce to 164562939 relations and 134181249 ideals in 7 passes
  67. Tue Jun 28 14:11:37 2022 max relations containing the same ideal: 150
  68. Tue Jun 28 14:13:27 2022 removing 7237294 relations and 5237294 ideals in 2000000 cliques
  69. Tue Jun 28 14:13:30 2022 commencing in-memory singleton removal
  70. Tue Jun 28 14:13:53 2022 begin with 157325645 relations and 134181249 unique ideals
  71. Tue Jun 28 14:16:34 2022 reduce to 157061577 relations and 128676748 ideals in 7 passes
  72. Tue Jun 28 14:16:34 2022 max relations containing the same ideal: 145
  73. Tue Jun 28 14:18:19 2022 removing 7050813 relations and 5050813 ideals in 2000000 cliques
  74. Tue Jun 28 14:18:22 2022 commencing in-memory singleton removal
  75. Tue Jun 28 14:18:45 2022 begin with 150010764 relations and 128676748 unique ideals
  76. Tue Jun 28 14:22:00 2022 reduce to 149750837 relations and 123362956 ideals in 9 passes
  77. Tue Jun 28 14:22:00 2022 max relations containing the same ideal: 142
  78. Tue Jun 28 14:23:42 2022 removing 6920639 relations and 4920639 ideals in 2000000 cliques
  79. Tue Jun 28 14:23:45 2022 commencing in-memory singleton removal
  80. Tue Jun 28 14:24:06 2022 begin with 142830198 relations and 123362956 unique ideals
  81. Tue Jun 28 14:26:11 2022 reduce to 142571100 relations and 118180039 ideals in 6 passes
  82. Tue Jun 28 14:26:11 2022 max relations containing the same ideal: 138
  83. Tue Jun 28 14:27:49 2022 removing 6827259 relations and 4827259 ideals in 2000000 cliques
  84. Tue Jun 28 14:27:52 2022 commencing in-memory singleton removal
  85. Tue Jun 28 14:28:13 2022 begin with 135743841 relations and 118180039 unique ideals
  86. Tue Jun 28 14:30:29 2022 reduce to 135480885 relations and 113086396 ideals in 7 passes
  87. Tue Jun 28 14:30:29 2022 max relations containing the same ideal: 133
  88. Tue Jun 28 14:32:00 2022 removing 6758684 relations and 4758684 ideals in 2000000 cliques
  89. Tue Jun 28 14:32:03 2022 commencing in-memory singleton removal
  90. Tue Jun 28 14:32:22 2022 begin with 128722201 relations and 113086396 unique ideals
  91. Tue Jun 28 14:34:33 2022 reduce to 128455691 relations and 108057614 ideals in 7 passes
  92. Tue Jun 28 14:34:33 2022 max relations containing the same ideal: 129
  93. Tue Jun 28 14:36:03 2022 removing 6711778 relations and 4711778 ideals in 2000000 cliques
  94. Tue Jun 28 14:36:06 2022 commencing in-memory singleton removal
  95. Tue Jun 28 14:36:24 2022 begin with 121743913 relations and 108057614 unique ideals
  96. Tue Jun 28 14:38:09 2022 reduce to 121469739 relations and 103067828 ideals in 6 passes
  97. Tue Jun 28 14:38:09 2022 max relations containing the same ideal: 122
  98. Tue Jun 28 14:39:31 2022 removing 6687667 relations and 4687667 ideals in 2000000 cliques
  99. Tue Jun 28 14:39:34 2022 commencing in-memory singleton removal
  100. Tue Jun 28 14:39:50 2022 begin with 114782072 relations and 103067828 unique ideals
  101. Tue Jun 28 14:41:43 2022 reduce to 114496572 relations and 98090476 ideals in 7 passes
  102. Tue Jun 28 14:41:43 2022 max relations containing the same ideal: 115
  103. Tue Jun 28 14:43:00 2022 removing 6676200 relations and 4676200 ideals in 2000000 cliques
  104. Tue Jun 28 14:43:02 2022 commencing in-memory singleton removal
  105. Tue Jun 28 14:43:18 2022 begin with 107820372 relations and 98090476 unique ideals
  106. Tue Jun 28 14:45:04 2022 reduce to 107522548 relations and 93111858 ideals in 7 passes
  107. Tue Jun 28 14:45:04 2022 max relations containing the same ideal: 111
  108. Tue Jun 28 14:46:17 2022 removing 6675070 relations and 4675070 ideals in 2000000 cliques
  109. Tue Jun 28 14:46:19 2022 commencing in-memory singleton removal
  110. Tue Jun 28 14:46:34 2022 begin with 100847478 relations and 93111858 unique ideals
  111. Tue Jun 28 14:47:58 2022 reduce to 100535900 relations and 88120171 ideals in 6 passes
  112. Tue Jun 28 14:47:58 2022 max relations containing the same ideal: 107
  113. Tue Jun 28 14:49:06 2022 removing 6685396 relations and 4685396 ideals in 2000000 cliques
  114. Tue Jun 28 14:49:09 2022 commencing in-memory singleton removal
  115. Tue Jun 28 14:49:22 2022 begin with 93850504 relations and 88120171 unique ideals
  116. Tue Jun 28 14:50:53 2022 reduce to 93517680 relations and 83096081 ideals in 7 passes
  117. Tue Jun 28 14:50:53 2022 max relations containing the same ideal: 103
  118. Tue Jun 28 14:51:58 2022 removing 6707438 relations and 4707438 ideals in 2000000 cliques
  119. Tue Jun 28 14:52:00 2022 commencing in-memory singleton removal
  120. Tue Jun 28 14:52:12 2022 begin with 86810242 relations and 83096081 unique ideals
  121. Tue Jun 28 14:53:36 2022 reduce to 86452136 relations and 78023878 ideals in 7 passes
  122. Tue Jun 28 14:53:36 2022 max relations containing the same ideal: 101
  123. Tue Jun 28 14:54:37 2022 removing 6746828 relations and 4746828 ideals in 2000000 cliques
  124. Tue Jun 28 14:54:39 2022 commencing in-memory singleton removal
  125. Tue Jun 28 14:54:50 2022 begin with 79705308 relations and 78023878 unique ideals
  126. Tue Jun 28 14:56:08 2022 reduce to 79314760 relations and 72878750 ideals in 7 passes
  127. Tue Jun 28 14:56:08 2022 max relations containing the same ideal: 95
  128. Tue Jun 28 14:57:05 2022 removing 6795539 relations and 4795539 ideals in 2000000 cliques
  129. Tue Jun 28 14:57:07 2022 commencing in-memory singleton removal
  130. Tue Jun 28 14:57:17 2022 begin with 72519221 relations and 72878750 unique ideals
  131. Tue Jun 28 14:58:27 2022 reduce to 72087140 relations and 67641970 ideals in 7 passes
  132. Tue Jun 28 14:58:27 2022 max relations containing the same ideal: 87
  133. Tue Jun 28 14:59:17 2022 removing 6868743 relations and 4868743 ideals in 2000000 cliques
  134. Tue Jun 28 14:59:19 2022 commencing in-memory singleton removal
  135. Tue Jun 28 14:59:28 2022 begin with 65218397 relations and 67641970 unique ideals
  136. Tue Jun 28 15:00:38 2022 reduce to 64730553 relations and 62273897 ideals in 8 passes
  137. Tue Jun 28 15:00:38 2022 max relations containing the same ideal: 81
  138. Tue Jun 28 15:01:23 2022 removing 3086349 relations and 2353087 ideals in 733262 cliques
  139. Tue Jun 28 15:01:24 2022 commencing in-memory singleton removal
  140. Tue Jun 28 15:01:32 2022 begin with 61644204 relations and 62273897 unique ideals
  141. Tue Jun 28 15:02:30 2022 reduce to 61539765 relations and 59815366 ideals in 7 passes
  142. Tue Jun 28 15:02:30 2022 max relations containing the same ideal: 79
  143. Tue Jun 28 15:03:20 2022 relations with 0 large ideals: 55787
  144. Tue Jun 28 15:03:20 2022 relations with 1 large ideals: 28144
  145. Tue Jun 28 15:03:20 2022 relations with 2 large ideals: 326819
  146. Tue Jun 28 15:03:20 2022 relations with 3 large ideals: 1970544
  147. Tue Jun 28 15:03:20 2022 relations with 4 large ideals: 6495399
  148. Tue Jun 28 15:03:20 2022 relations with 5 large ideals: 12921996
  149. Tue Jun 28 15:03:20 2022 relations with 6 large ideals: 16254710
  150. Tue Jun 28 15:03:20 2022 relations with 7+ large ideals: 23486366
  151. Tue Jun 28 15:03:20 2022 commencing 2-way merge
  152. Tue Jun 28 15:04:18 2022 reduce to 41302981 relation sets and 39578582 unique ideals
  153. Tue Jun 28 15:04:19 2022 commencing full merge
  154. Tue Jun 28 15:26:24 2022 memory use: 5264.5 MB
  155. Tue Jun 28 15:26:34 2022 found 18689956 cycles, need 18558782
  156. Tue Jun 28 15:26:35 2022 weight of 18558782 cycles is about 2264180788 (122.00/cycle)
  157. Tue Jun 28 15:26:35 2022 distribution of cycle lengths:
  158. Tue Jun 28 15:26:35 2022 1 relations: 857378
  159. Tue Jun 28 15:26:35 2022 2 relations: 1168884
  160. Tue Jun 28 15:26:35 2022 3 relations: 1335465
  161. Tue Jun 28 15:26:35 2022 4 relations: 1356451
  162. Tue Jun 28 15:26:35 2022 5 relations: 1375665
  163. Tue Jun 28 15:26:35 2022 6 relations: 1353436
  164. Tue Jun 28 15:26:35 2022 7 relations: 1326405
  165. Tue Jun 28 15:26:35 2022 8 relations: 1266665
  166. Tue Jun 28 15:26:35 2022 9 relations: 1194613
  167. Tue Jun 28 15:26:35 2022 10+ relations: 7323820
  168. Tue Jun 28 15:26:35 2022 heaviest cycle: 28 relations
  169. Tue Jun 28 15:27:13 2022 commencing cycle optimization
  170. Tue Jun 28 15:27:52 2022 start with 161962324 relations
  171. Tue Jun 28 15:36:41 2022 pruned 7785699 relations
  172. Tue Jun 28 15:36:41 2022 memory use: 4218.6 MB
  173. Tue Jun 28 15:36:41 2022 distribution of cycle lengths:
  174. Tue Jun 28 15:36:41 2022 1 relations: 857378
  175. Tue Jun 28 15:36:41 2022 2 relations: 1198901
  176. Tue Jun 28 15:36:41 2022 3 relations: 1394789
  177. Tue Jun 28 15:36:41 2022 4 relations: 1416562
  178. Tue Jun 28 15:36:41 2022 5 relations: 1448617
  179. Tue Jun 28 15:36:41 2022 6 relations: 1422749
  180. Tue Jun 28 15:36:41 2022 7 relations: 1400232
  181. Tue Jun 28 15:36:41 2022 8 relations: 1332270
  182. Tue Jun 28 15:36:41 2022 9 relations: 1253366
  183. Tue Jun 28 15:36:41 2022 10+ relations: 6833918
  184. Tue Jun 28 15:36:41 2022 heaviest cycle: 28 relations
  185. Tue Jun 28 15:37:30 2022 RelProcTime: 14207
  186. Tue Jun 28 15:37:30 2022
  187. Tue Jun 28 15:37:30 2022 commencing linear algebra
  188. Tue Jun 28 15:37:35 2022 read 18558782 cycles
  189. Tue Jun 28 15:38:20 2022 cycles contain 60716393 unique relations
  190. Tue Jun 28 15:48:14 2022 read 60716393 relations
  191. Tue Jun 28 15:50:30 2022 using 20 quadratic characters above 2147483324
  192. Tue Jun 28 15:54:53 2022 building initial matrix
  193. Tue Jun 28 16:09:00 2022 memory use: 7857.4 MB
  194. Tue Jun 28 16:09:28 2022 read 18558782 cycles
  195. Tue Jun 28 16:09:35 2022 matrix is 18558605 x 18558782 (8819.4 MB) with weight 2560616993 (137.97/col)
  196. Tue Jun 28 16:09:35 2022 sparse part has weight 2107815811 (113.58/col)
  197. Tue Jun 28 16:16:03 2022 filtering completed in 2 passes
  198. Tue Jun 28 16:16:10 2022 matrix is 18558079 x 18558256 (8819.4 MB) with weight 2560596105 (137.98/col)
  199. Tue Jun 28 16:16:10 2022 sparse part has weight 2107807894 (113.58/col)
  200. Tue Jun 28 16:17:40 2022 matrix starts at (0, 0)
  201. Tue Jun 28 16:17:47 2022 matrix is 18558079 x 18558256 (8819.4 MB) with weight 2560596105 (137.98/col)
  202. Tue Jun 28 16:17:47 2022 sparse part has weight 2107807894 (113.58/col)
  203. Tue Jun 28 16:17:47 2022 saving the first 48 matrix rows for later
  204. Tue Jun 28 16:17:53 2022 matrix includes 64 packed rows
  205. Tue Jun 28 16:17:56 2022 matrix is 18558031 x 18558256 (8518.6 MB) with weight 2207865983 (118.97/col)
  206. Tue Jun 28 16:17:56 2022 sparse part has weight 2047528505 (110.33/col)
  207. Tue Jun 28 16:17:56 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  208. Tue Jun 28 16:20:05 2022 commencing Lanczos iteration (24 threads)
  209. Tue Jun 28 16:20:05 2022 memory use: 7334.1 MB
  210. Tue Jun 28 16:20:46 2022 linear algebra at 0.0%, ETA 132h15m
  211. Tue Jun 28 16:20:58 2022 checkpointing every 150000 dimensions
  212. Sun Jul 03 18:56:15 2022 lanczos halted after 293466 iterations (dim = 18558031)
  213. Sun Jul 03 18:56:32 2022 recovered 38 nontrivial dependencies
  214. Sun Jul 03 18:56:53 2022 BLanczosTime: 443963
  215. Sun Jul 03 18:56:53 2022
  216. Sun Jul 03 18:56:53 2022 commencing square root phase
  217. Sun Jul 03 18:56:53 2022 handling dependencies 1 to 64
  218. Sun Jul 03 18:56:53 2022 reading relations for dependency 1
  219. Sun Jul 03 18:56:57 2022 read 9278162 cycles
  220. Sun Jul 03 18:57:19 2022 cycles contain 30362528 unique relations
  221. Sun Jul 03 19:02:45 2022 read 30362528 relations
  222. Sun Jul 03 19:05:50 2022 multiplying 30362528 relations
  223. Sun Jul 03 19:35:09 2022 multiply complete, coefficients have about 892.07 million bits
  224. Sun Jul 03 19:35:19 2022 initial square root is modulo 100740823
  225. Sun Jul 03 20:11:21 2022 GCD is N, no factor found
  226. Sun Jul 03 20:11:21 2022 reading relations for dependency 2
  227. Sun Jul 03 20:11:25 2022 read 9282320 cycles
  228. Sun Jul 03 20:11:47 2022 cycles contain 30364150 unique relations
  229. Sun Jul 03 20:17:19 2022 read 30364150 relations
  230. Sun Jul 03 20:20:32 2022 multiplying 30364150 relations
  231. Sun Jul 03 20:49:39 2022 multiply complete, coefficients have about 892.11 million bits
  232. Sun Jul 03 20:49:49 2022 initial square root is modulo 100820581
  233. Sun Jul 03 21:25:35 2022 GCD is N, no factor found
  234. Sun Jul 03 21:25:35 2022 reading relations for dependency 3
  235. Sun Jul 03 21:25:40 2022 read 9275986 cycles
  236. Sun Jul 03 21:26:02 2022 cycles contain 30345494 unique relations
  237. Sun Jul 03 21:31:29 2022 read 30345494 relations
  238. Sun Jul 03 21:34:31 2022 multiplying 30345494 relations
  239. Sun Jul 03 22:03:36 2022 multiply complete, coefficients have about 891.57 million bits
  240. Sun Jul 03 22:03:46 2022 initial square root is modulo 99700369
  241. Sun Jul 03 22:39:46 2022 GCD is N, no factor found
  242. Sun Jul 03 22:39:46 2022 reading relations for dependency 4
  243. Sun Jul 03 22:39:50 2022 read 9280878 cycles
  244. Sun Jul 03 22:40:13 2022 cycles contain 30360906 unique relations
  245. Sun Jul 03 22:45:45 2022 read 30360906 relations
  246. Sun Jul 03 22:48:59 2022 multiplying 30360906 relations
  247. Sun Jul 03 23:43:09 2022 multiply complete, coefficients have about 892.01 million bits
  248. Sun Jul 03 23:43:23 2022 initial square root is modulo 100614061
  249. Mon Jul 04 00:53:25 2022 GCD is N, no factor found
  250. Mon Jul 04 00:53:25 2022 reading relations for dependency 5
  251. Mon Jul 04 00:53:35 2022 read 9276331 cycles
  252. Mon Jul 04 00:54:06 2022 cycles contain 30350162 unique relations
  253. Mon Jul 04 01:03:24 2022 read 30350162 relations
  254. Mon Jul 04 01:07:50 2022 multiplying 30350162 relations
  255. Mon Jul 04 02:02:13 2022 multiply complete, coefficients have about 891.70 million bits
  256. Mon Jul 04 02:02:26 2022 initial square root is modulo 99980659
  257. Mon Jul 04 03:11:49 2022 sqrtTime: 29696
  258. Mon Jul 04 03:11:49 2022 prp80 factor: 17075874565902409322444197094868958968470367281527468021955084000044685362628263
  259. Mon Jul 04 03:11:49 2022 prp125 factor: 47546971788630182344606161997613543855442112226138552478315170047898978860092017656915717745567253963642724479329019867679739
  260. Mon Jul 04 03:11:49 2022 elapsed time 135:31:07
  261.  
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