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Msieve log of 9p8_610L

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Jan 6th, 2022
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  1. Mon Dec 27 15:54:51 2021
  2. Mon Dec 27 15:54:51 2021
  3. Mon Dec 27 15:54:51 2021 Msieve v. 1.53 (SVN 988)
  4. Mon Dec 27 15:54:51 2021 random seeds: fe468b00 adc789e1
  5. Mon Dec 27 15:54:51 2021 factoring 7111580075526278775679313189970839090732133049766879316160733792624182905025281651936558674521502898646458629054051319115482070639172902951091064902333300074938950365486374902942632471569384054032185986399888706081 (214 digits)
  6. Mon Dec 27 15:54:52 2021 searching for 15-digit factors
  7. Mon Dec 27 15:54:53 2021 commencing number field sieve (214-digit input)
  8. Mon Dec 27 15:54:53 2021 R0: -16185352663556808004585485241803647831052230560818128775017
  9. Mon Dec 27 15:54:53 2021 R1: 314866272843443520682746435306857343117552793400213766144
  10. Mon Dec 27 15:54:53 2021 A0: -4
  11. Mon Dec 27 15:54:53 2021 A1: 12
  12. Mon Dec 27 15:54:53 2021 A2: -6
  13. Mon Dec 27 15:54:53 2021 A3: -2
  14. Mon Dec 27 15:54:53 2021 A4: 1
  15. Mon Dec 27 15:54:53 2021 skew 1.41, size 1.242e-023, alpha 1.793, combined = 4.177e-014 rroots = 4
  16. Mon Dec 27 15:54:53 2021
  17. Mon Dec 27 15:54:53 2021 commencing relation filtering
  18. Mon Dec 27 15:54:53 2021 setting target matrix density to 130.0
  19. Mon Dec 27 15:54:53 2021 estimated available RAM is 12041.5 MB
  20. Mon Dec 27 15:54:53 2021 commencing duplicate removal, pass 1
  21. Mon Dec 27 15:55:12 2021 error -9 reading relation 1506319
  22. Mon Dec 27 15:55:56 2021 error -1 reading relation 4978050
  23. Mon Dec 27 15:56:34 2021 error -9 reading relation 8038217
  24. Mon Dec 27 15:56:36 2021 error -9 reading relation 8173250
  25. Mon Dec 27 15:56:48 2021 error -1 reading relation 9117590
  26. Mon Dec 27 15:57:04 2021 error -9 reading relation 10291171
  27. Mon Dec 27 15:58:23 2021 error -1 reading relation 16679446
  28. Mon Dec 27 16:00:17 2021 error -9 reading relation 25610786
  29. Mon Dec 27 16:00:20 2021 error -1 reading relation 25874588
  30. Mon Dec 27 16:00:21 2021 error -9 reading relation 25941615
  31. Mon Dec 27 16:00:36 2021 error -9 reading relation 27173132
  32. Mon Dec 27 16:00:37 2021 error -9 reading relation 27268301
  33. Mon Dec 27 16:01:38 2021 error -9 reading relation 32035562
  34. Mon Dec 27 16:02:15 2021 error -5 reading relation 34925249
  35. Mon Dec 27 16:03:42 2021 error -9 reading relation 41470233
  36. Mon Dec 27 16:03:44 2021 error -1 reading relation 41584790
  37. Mon Dec 27 16:04:15 2021 error -9 reading relation 44048872
  38. Mon Dec 27 16:04:22 2021 error -9 reading relation 44564940
  39. Mon Dec 27 16:04:23 2021 error -15 reading relation 44585333
  40. Mon Dec 27 16:04:24 2021 error -15 reading relation 44662773
  41. Mon Dec 27 16:04:31 2021 error -9 reading relation 45194290
  42. Mon Dec 27 16:04:31 2021 error -5 reading relation 45247805
  43. Mon Dec 27 16:04:32 2021 error -9 reading relation 45298979
  44. Mon Dec 27 16:05:08 2021 error -1 reading relation 48056998
  45. Mon Dec 27 16:05:08 2021 error -9 reading relation 48058449
  46. Mon Dec 27 16:05:15 2021 error -9 reading relation 48578808
  47. Mon Dec 27 16:07:20 2021 error -9 reading relation 57963077
  48. Mon Dec 27 16:07:50 2021 error -9 reading relation 60192765
  49. Mon Dec 27 16:08:11 2021 error -9 reading relation 61906972
  50. Mon Dec 27 16:10:03 2021 error -9 reading relation 70474213
  51. Mon Dec 27 16:10:18 2021 error -9 reading relation 71626825
  52. Mon Dec 27 16:10:55 2021 error -9 reading relation 74529786
  53. Mon Dec 27 16:11:11 2021 error -1 reading relation 75777090
  54. Mon Dec 27 16:11:19 2021 error -9 reading relation 76383117
  55. Mon Dec 27 16:11:41 2021 error -15 reading relation 78008389
  56. Mon Dec 27 16:12:22 2021 error -15 reading relation 81200685
  57. Mon Dec 27 16:13:09 2021 error -9 reading relation 84773236
  58. Mon Dec 27 16:13:14 2021 error -9 reading relation 85167031
  59. Mon Dec 27 16:13:28 2021 error -1 reading relation 86162955
  60. Mon Dec 27 16:13:34 2021 error -9 reading relation 86671849
  61. Mon Dec 27 16:13:45 2021 error -1 reading relation 87392634
  62. Mon Dec 27 16:13:47 2021 error -9 reading relation 87607085
  63. Mon Dec 27 16:13:59 2021 error -9 reading relation 88482145
  64. Mon Dec 27 16:14:12 2021 error -9 reading relation 89387337
  65. Mon Dec 27 16:14:37 2021 error -15 reading relation 91248799
  66. Mon Dec 27 16:14:42 2021 error -9 reading relation 91546912
  67. Mon Dec 27 16:14:51 2021 error -9 reading relation 92246163
  68. Mon Dec 27 16:15:01 2021 error -9 reading relation 92945655
  69. Mon Dec 27 16:15:21 2021 error -15 reading relation 94410068
  70. Mon Dec 27 16:15:22 2021 error -5 reading relation 94508654
  71. Mon Dec 27 16:15:45 2021 error -5 reading relation 96155315
  72. Mon Dec 27 16:16:27 2021 error -9 reading relation 99261972
  73. Mon Dec 27 16:16:39 2021 error -1 reading relation 100138352
  74. Mon Dec 27 16:16:44 2021 error -15 reading relation 100431467
  75. Mon Dec 27 16:16:52 2021 error -15 reading relation 101027961
  76. Mon Dec 27 16:16:52 2021 error -9 reading relation 101040006
  77. Mon Dec 27 16:16:57 2021 error -1 reading relation 101352451
  78. Mon Dec 27 16:16:58 2021 error -1 reading relation 101400655
  79. Mon Dec 27 16:17:05 2021 error -9 reading relation 101913665
  80. Mon Dec 27 16:17:37 2021 error -9 reading relation 104336247
  81. Mon Dec 27 16:17:41 2021 error -9 reading relation 104651710
  82. Mon Dec 27 16:18:11 2021 error -9 reading relation 106860337
  83. Mon Dec 27 16:18:15 2021 error -9 reading relation 107178728
  84. Mon Dec 27 16:20:08 2021 error -1 reading relation 115188829
  85. Mon Dec 27 16:20:47 2021 error -15 reading relation 117782067
  86. Mon Dec 27 16:21:05 2021 error -15 reading relation 118973925
  87. Mon Dec 27 16:24:07 2021 error -1 reading relation 131678287
  88. Mon Dec 27 16:24:23 2021 error -9 reading relation 132776960
  89. Mon Dec 27 16:24:34 2021 error -9 reading relation 133518927
  90. Mon Dec 27 16:24:50 2021 error -5 reading relation 134699973
  91. Mon Dec 27 16:25:38 2021 error -15 reading relation 138153213
  92. Mon Dec 27 16:25:42 2021 error -9 reading relation 138431824
  93. Mon Dec 27 16:25:44 2021 error -1 reading relation 138548986
  94. Mon Dec 27 16:25:47 2021 error -5 reading relation 138769604
  95. Mon Dec 27 16:26:19 2021 error -9 reading relation 141122270
  96. Mon Dec 27 16:26:51 2021 error -1 reading relation 143438835
  97. Mon Dec 27 16:27:25 2021 error -9 reading relation 145848716
  98. Mon Dec 27 16:27:39 2021 error -1 reading relation 146836768
  99. Mon Dec 27 16:28:06 2021 error -9 reading relation 148857841
  100. Mon Dec 27 16:28:53 2021 error -1 reading relation 152273604
  101. Mon Dec 27 16:30:01 2021 error -1 reading relation 157367739
  102. Mon Dec 27 16:30:04 2021 error -9 reading relation 157589298
  103. Mon Dec 27 16:33:37 2021 error -1 reading relation 173061614
  104. Mon Dec 27 16:34:16 2021 error -9 reading relation 175813935
  105. Mon Dec 27 16:34:49 2021 error -9 reading relation 178283882
  106. Mon Dec 27 16:37:04 2021 error -9 reading relation 188291879
  107. Mon Dec 27 16:37:06 2021 error -9 reading relation 188467875
  108. Mon Dec 27 16:38:40 2021 error -9 reading relation 195500314
  109. Mon Dec 27 16:39:03 2021 error -9 reading relation 197218577
  110. Mon Dec 27 16:39:39 2021 error -9 reading relation 199911533
  111. Mon Dec 27 16:39:43 2021 error -15 reading relation 200219295
  112. Mon Dec 27 16:40:08 2021 error -9 reading relation 202127266
  113. Mon Dec 27 16:40:10 2021 error -9 reading relation 202315224
  114. Mon Dec 27 16:40:36 2021 error -1 reading relation 204264841
  115. Mon Dec 27 16:40:37 2021 error -9 reading relation 204328800
  116. Mon Dec 27 16:41:11 2021 error -5 reading relation 206924700
  117. Mon Dec 27 16:41:11 2021 error -9 reading relation 206932589
  118. Mon Dec 27 16:41:44 2021 error -9 reading relation 209273836
  119. Mon Dec 27 16:41:58 2021 error -15 reading relation 210255753
  120. Mon Dec 27 16:42:02 2021 error -1 reading relation 210537852
  121. Mon Dec 27 16:42:59 2021 error -9 reading relation 214776635
  122. Mon Dec 27 16:43:02 2021 error -5 reading relation 214980319
  123. Mon Dec 27 16:43:45 2021 error -9 reading relation 218331564
  124. Mon Dec 27 16:43:58 2021 error -9 reading relation 219293746
  125. Mon Dec 27 16:45:29 2021 error -9 reading relation 226126457
  126. Mon Dec 27 16:46:08 2021 error -1 reading relation 228845357
  127. Mon Dec 27 16:46:10 2021 error -15 reading relation 229045974
  128. Mon Dec 27 16:46:13 2021 error -1 reading relation 229234713
  129. Mon Dec 27 16:46:18 2021 error -9 reading relation 229627022
  130. Mon Dec 27 16:46:42 2021 error -1 reading relation 231349089
  131. Mon Dec 27 16:46:52 2021 error -1 reading relation 232150936
  132. Mon Dec 27 16:47:48 2021 error -9 reading relation 236332549
  133. Mon Dec 27 16:47:51 2021 error -15 reading relation 236496935
  134. Mon Dec 27 16:47:59 2021 error -9 reading relation 237062070
  135. Mon Dec 27 16:48:55 2021 error -1 reading relation 241388737
  136. Mon Dec 27 16:49:39 2021 error -1 reading relation 244584550
  137. Mon Dec 27 16:49:44 2021 error -1 reading relation 244970887
  138. Mon Dec 27 16:49:52 2021 error -1 reading relation 245615959
  139. Mon Dec 27 16:50:37 2021 error -9 reading relation 249014357
  140. Mon Dec 27 16:50:46 2021 error -9 reading relation 249642232
  141. Mon Dec 27 16:51:10 2021 error -9 reading relation 251531820
  142. Mon Dec 27 16:52:04 2021 error -9 reading relation 255697166
  143. Mon Dec 27 16:52:24 2021 error -9 reading relation 257268918
  144. Mon Dec 27 16:52:27 2021 error -9 reading relation 257462583
  145. Mon Dec 27 16:52:28 2021 error -9 reading relation 257560946
  146. Mon Dec 27 16:52:31 2021 error -9 reading relation 257792340
  147. Mon Dec 27 16:52:32 2021 error -9 reading relation 257874508
  148. Mon Dec 27 16:52:38 2021 error -9 reading relation 258368804
  149. Mon Dec 27 16:52:44 2021 error -9 reading relation 258831508
  150. Mon Dec 27 16:52:51 2021 error -15 reading relation 259345824
  151. Mon Dec 27 16:52:55 2021 error -1 reading relation 259633686
  152. Mon Dec 27 16:53:08 2021 error -5 reading relation 260675749
  153. Mon Dec 27 16:53:18 2021 error -9 reading relation 261431997
  154. Mon Dec 27 16:53:51 2021 error -9 reading relation 263945289
  155. Mon Dec 27 16:54:32 2021 skipped 3348 relations with b > 2^32
  156. Mon Dec 27 16:54:32 2021 skipped 71 relations with composite factors
  157. Mon Dec 27 16:54:32 2021 found 58046153 hash collisions in 267910659 relations
  158. Mon Dec 27 16:54:32 2021 commencing duplicate removal, pass 2
  159. Mon Dec 27 16:58:31 2021 found 61056596 duplicates and 206854063 unique relations
  160. Mon Dec 27 16:58:31 2021 memory use: 1449.5 MB
  161. Mon Dec 27 16:58:31 2021 reading ideals above 199950336
  162. Mon Dec 27 16:58:31 2021 commencing singleton removal, initial pass
  163. Mon Dec 27 17:33:09 2021 memory use: 3012.0 MB
  164. Mon Dec 27 17:33:10 2021 reading all ideals from disk
  165. Mon Dec 27 17:33:16 2021 memory use: 3562.1 MB
  166. Mon Dec 27 17:33:28 2021 commencing in-memory singleton removal
  167. Mon Dec 27 17:33:40 2021 begin with 206854063 relations and 156639541 unique ideals
  168. Mon Dec 27 17:35:15 2021 reduce to 149835327 relations and 94873044 ideals in 11 passes
  169. Mon Dec 27 17:35:15 2021 max relations containing the same ideal: 45
  170. Mon Dec 27 17:35:29 2021 reading ideals above 720000
  171. Mon Dec 27 17:35:30 2021 commencing singleton removal, initial pass
  172. Mon Dec 27 18:07:38 2021 memory use: 3012.0 MB
  173. Mon Dec 27 18:07:38 2021 reading large ideals from disk
  174. Mon Dec 27 18:11:44 2021 keeping 103516749 ideals with weight <= 20, target excess is 13509213
  175. Mon Dec 27 18:18:00 2021 memory use: 3701.4 MB
  176. Mon Dec 27 18:18:00 2021 commencing in-memory singleton removal
  177. Mon Dec 27 18:18:10 2021 begin with 149835327 relations and 103516749 unique ideals
  178. Mon Dec 27 18:19:01 2021 reduce to 149823059 relations and 103504405 ideals in 6 passes
  179. Mon Dec 27 18:19:01 2021 max relations containing the same ideal: 20
  180. Mon Dec 27 18:19:58 2021 removing 9139465 relations and 7139465 ideals in 2000000 cliques
  181. Mon Dec 27 18:20:02 2021 commencing in-memory singleton removal
  182. Mon Dec 27 18:20:11 2021 begin with 140683594 relations and 103504405 unique ideals
  183. Mon Dec 27 18:21:15 2021 reduce to 140162345 relations and 95834260 ideals in 8 passes
  184. Mon Dec 27 18:21:15 2021 max relations containing the same ideal: 20
  185. Mon Dec 27 18:22:07 2021 removing 7084240 relations and 5084240 ideals in 2000000 cliques
  186. Mon Dec 27 18:22:11 2021 commencing in-memory singleton removal
  187. Mon Dec 27 18:22:19 2021 begin with 133078105 relations and 95834260 unique ideals
  188. Mon Dec 27 18:23:11 2021 reduce to 132727267 relations and 90393874 ideals in 7 passes
  189. Mon Dec 27 18:23:11 2021 max relations containing the same ideal: 20
  190. Mon Dec 27 18:24:01 2021 removing 6530120 relations and 4530120 ideals in 2000000 cliques
  191. Mon Dec 27 18:24:05 2021 commencing in-memory singleton removal
  192. Mon Dec 27 18:24:12 2021 begin with 126197147 relations and 90393874 unique ideals
  193. Mon Dec 27 18:25:02 2021 reduce to 125894160 relations and 85556189 ideals in 7 passes
  194. Mon Dec 27 18:25:02 2021 max relations containing the same ideal: 20
  195. Mon Dec 27 18:25:49 2021 removing 6241506 relations and 4241506 ideals in 2000000 cliques
  196. Mon Dec 27 18:25:52 2021 commencing in-memory singleton removal
  197. Mon Dec 27 18:26:00 2021 begin with 119652654 relations and 85556189 unique ideals
  198. Mon Dec 27 18:26:45 2021 reduce to 119369022 relations and 81026588 ideals in 7 passes
  199. Mon Dec 27 18:26:45 2021 max relations containing the same ideal: 20
  200. Mon Dec 27 18:27:30 2021 removing 6079653 relations and 4079653 ideals in 2000000 cliques
  201. Mon Dec 27 18:27:33 2021 commencing in-memory singleton removal
  202. Mon Dec 27 18:27:40 2021 begin with 113289369 relations and 81026588 unique ideals
  203. Mon Dec 27 18:28:22 2021 reduce to 113014285 relations and 76667301 ideals in 7 passes
  204. Mon Dec 27 18:28:22 2021 max relations containing the same ideal: 20
  205. Mon Dec 27 18:29:05 2021 removing 5969522 relations and 3969522 ideals in 2000000 cliques
  206. Mon Dec 27 18:29:08 2021 commencing in-memory singleton removal
  207. Mon Dec 27 18:29:15 2021 begin with 107044763 relations and 76667301 unique ideals
  208. Mon Dec 27 18:30:00 2021 reduce to 106774176 relations and 72422553 ideals in 8 passes
  209. Mon Dec 27 18:30:00 2021 max relations containing the same ideal: 20
  210. Mon Dec 27 18:30:40 2021 removing 5869144 relations and 3869144 ideals in 2000000 cliques
  211. Mon Dec 27 18:30:43 2021 commencing in-memory singleton removal
  212. Mon Dec 27 18:30:49 2021 begin with 100905032 relations and 72422553 unique ideals
  213. Mon Dec 27 18:31:27 2021 reduce to 100627010 relations and 68270545 ideals in 7 passes
  214. Mon Dec 27 18:31:27 2021 max relations containing the same ideal: 20
  215. Mon Dec 27 18:32:06 2021 removing 5826200 relations and 3826200 ideals in 2000000 cliques
  216. Mon Dec 27 18:32:09 2021 commencing in-memory singleton removal
  217. Mon Dec 27 18:32:14 2021 begin with 94800810 relations and 68270545 unique ideals
  218. Mon Dec 27 18:32:45 2021 reduce to 94512794 relations and 64150958 ideals in 6 passes
  219. Mon Dec 27 18:32:45 2021 max relations containing the same ideal: 20
  220. Mon Dec 27 18:33:21 2021 removing 5807109 relations and 3807109 ideals in 2000000 cliques
  221. Mon Dec 27 18:33:24 2021 commencing in-memory singleton removal
  222. Mon Dec 27 18:33:29 2021 begin with 88705685 relations and 64150958 unique ideals
  223. Mon Dec 27 18:34:00 2021 reduce to 88406854 relations and 60039165 ideals in 7 passes
  224. Mon Dec 27 18:34:00 2021 max relations containing the same ideal: 20
  225. Mon Dec 27 18:34:35 2021 removing 5771665 relations and 3771665 ideals in 2000000 cliques
  226. Mon Dec 27 18:34:37 2021 commencing in-memory singleton removal
  227. Mon Dec 27 18:34:42 2021 begin with 82635189 relations and 60039165 unique ideals
  228. Mon Dec 27 18:35:10 2021 reduce to 82312862 relations and 55938435 ideals in 7 passes
  229. Mon Dec 27 18:35:10 2021 max relations containing the same ideal: 20
  230. Mon Dec 27 18:35:42 2021 removing 5801967 relations and 3801967 ideals in 2000000 cliques
  231. Mon Dec 27 18:35:45 2021 commencing in-memory singleton removal
  232. Mon Dec 27 18:35:49 2021 begin with 76510895 relations and 55938435 unique ideals
  233. Mon Dec 27 18:36:15 2021 reduce to 76172790 relations and 51790799 ideals in 7 passes
  234. Mon Dec 27 18:36:15 2021 max relations containing the same ideal: 20
  235. Mon Dec 27 18:36:45 2021 removing 5797721 relations and 3797721 ideals in 2000000 cliques
  236. Mon Dec 27 18:36:47 2021 commencing in-memory singleton removal
  237. Mon Dec 27 18:36:51 2021 begin with 70375069 relations and 51790799 unique ideals
  238. Mon Dec 27 18:37:15 2021 reduce to 70000455 relations and 47609548 ideals in 7 passes
  239. Mon Dec 27 18:37:15 2021 max relations containing the same ideal: 20
  240. Mon Dec 27 18:37:43 2021 removing 5804243 relations and 3804243 ideals in 2000000 cliques
  241. Mon Dec 27 18:37:45 2021 commencing in-memory singleton removal
  242. Mon Dec 27 18:37:48 2021 begin with 64196212 relations and 47609548 unique ideals
  243. Mon Dec 27 18:38:12 2021 reduce to 63741543 relations and 43338527 ideals in 8 passes
  244. Mon Dec 27 18:38:12 2021 max relations containing the same ideal: 20
  245. Mon Dec 27 18:38:37 2021 removing 5907257 relations and 3907257 ideals in 2000000 cliques
  246. Mon Dec 27 18:38:40 2021 commencing in-memory singleton removal
  247. Mon Dec 27 18:38:43 2021 begin with 57834286 relations and 43338527 unique ideals
  248. Mon Dec 27 18:39:04 2021 reduce to 57351071 relations and 38933919 ideals in 8 passes
  249. Mon Dec 27 18:39:04 2021 max relations containing the same ideal: 18
  250. Mon Dec 27 18:39:27 2021 removing 5992576 relations and 3992576 ideals in 2000000 cliques
  251. Mon Dec 27 18:39:29 2021 commencing in-memory singleton removal
  252. Mon Dec 27 18:39:32 2021 begin with 51358495 relations and 38933919 unique ideals
  253. Mon Dec 27 18:39:50 2021 reduce to 50814792 relations and 34380233 ideals in 8 passes
  254. Mon Dec 27 18:39:50 2021 max relations containing the same ideal: 18
  255. Mon Dec 27 18:40:11 2021 removing 2492144 relations and 1728273 ideals in 763871 cliques
  256. Mon Dec 27 18:40:12 2021 commencing in-memory singleton removal
  257. Mon Dec 27 18:40:15 2021 begin with 48322648 relations and 34380233 unique ideals
  258. Mon Dec 27 18:40:31 2021 reduce to 48168978 relations and 32495947 ideals in 7 passes
  259. Mon Dec 27 18:40:31 2021 max relations containing the same ideal: 17
  260. Mon Dec 27 18:40:54 2021 relations with 0 large ideals: 3261133
  261. Mon Dec 27 18:40:54 2021 relations with 1 large ideals: 11704027
  262. Mon Dec 27 18:40:54 2021 relations with 2 large ideals: 17587642
  263. Mon Dec 27 18:40:54 2021 relations with 3 large ideals: 11256217
  264. Mon Dec 27 18:40:54 2021 relations with 4 large ideals: 3866887
  265. Mon Dec 27 18:40:54 2021 relations with 5 large ideals: 462597
  266. Mon Dec 27 18:40:54 2021 relations with 6 large ideals: 29367
  267. Mon Dec 27 18:40:54 2021 relations with 7+ large ideals: 1108
  268. Mon Dec 27 18:40:54 2021 commencing 2-way merge
  269. Mon Dec 27 18:41:19 2021 reduce to 31112994 relation sets and 15439962 unique ideals
  270. Mon Dec 27 18:41:19 2021 commencing full merge
  271. Mon Dec 27 18:45:34 2021 memory use: 1443.3 MB
  272. Mon Dec 27 18:45:49 2021 found 15627838 cycles, need 13895913
  273. Mon Dec 27 18:45:51 2021 weight of 13895913 cycles is about 1323336425 (95.23/cycle)
  274. Mon Dec 27 18:45:51 2021 distribution of cycle lengths:
  275. Mon Dec 27 18:45:51 2021 1 relations: 3262971
  276. Mon Dec 27 18:45:51 2021 2 relations: 1199751
  277. Mon Dec 27 18:45:51 2021 3 relations: 898152
  278. Mon Dec 27 18:45:51 2021 4 relations: 785244
  279. Mon Dec 27 18:45:51 2021 5 relations: 753337
  280. Mon Dec 27 18:45:51 2021 6 relations: 730612
  281. Mon Dec 27 18:45:51 2021 7 relations: 712029
  282. Mon Dec 27 18:45:51 2021 8 relations: 689934
  283. Mon Dec 27 18:45:51 2021 9 relations: 666058
  284. Mon Dec 27 18:45:51 2021 10+ relations: 4197825
  285. Mon Dec 27 18:45:51 2021 heaviest cycle: 24 relations
  286. Mon Dec 27 18:45:51 2021 commencing cycle optimization
  287. Mon Dec 27 18:46:20 2021 start with 92655980 relations
  288. Mon Dec 27 18:50:32 2021 pruned 8538752 relations
  289. Mon Dec 27 18:50:32 2021 memory use: 2514.7 MB
  290. Mon Dec 27 18:50:32 2021 distribution of cycle lengths:
  291. Mon Dec 27 18:50:32 2021 1 relations: 3262971
  292. Mon Dec 27 18:50:32 2021 2 relations: 1253244
  293. Mon Dec 27 18:50:32 2021 3 relations: 965936
  294. Mon Dec 27 18:50:32 2021 4 relations: 864218
  295. Mon Dec 27 18:50:32 2021 5 relations: 852417
  296. Mon Dec 27 18:50:32 2021 6 relations: 838914
  297. Mon Dec 27 18:50:32 2021 7 relations: 829805
  298. Mon Dec 27 18:50:32 2021 8 relations: 803177
  299. Mon Dec 27 18:50:32 2021 9 relations: 767883
  300. Mon Dec 27 18:50:32 2021 10+ relations: 3457348
  301. Mon Dec 27 18:50:32 2021 heaviest cycle: 22 relations
  302. Mon Dec 27 18:51:09 2021 RelProcTime: 10576
  303. Mon Dec 27 18:51:09 2021
  304. Mon Dec 27 18:51:09 2021 commencing linear algebra
  305. Mon Dec 27 18:51:13 2021 read 13895913 cycles
  306. Mon Dec 27 18:51:45 2021 cycles contain 40564264 unique relations
  307. Mon Dec 27 18:58:23 2021 read 40564264 relations
  308. Mon Dec 27 19:00:12 2021 using 20 quadratic characters above 4294917295
  309. Mon Dec 27 19:04:49 2021 building initial matrix
  310. Mon Dec 27 19:15:15 2021 memory use: 5302.8 MB
  311. Mon Dec 27 19:15:39 2021 read 13895913 cycles
  312. Mon Dec 27 19:15:42 2021 matrix is 13894873 x 13895913 (4981.0 MB) with weight 1430713322 (102.96/col)
  313. Mon Dec 27 19:15:42 2021 sparse part has weight 1152880963 (82.97/col)
  314. Mon Dec 27 19:21:08 2021 filtering completed in 3 passes
  315. Mon Dec 27 19:21:12 2021 matrix is 13872058 x 13872258 (4976.4 MB) with weight 1429320561 (103.03/col)
  316. Mon Dec 27 19:21:12 2021 sparse part has weight 1151931988 (83.04/col)
  317. Mon Dec 27 19:22:28 2021 matrix starts at (0, 0)
  318. Mon Dec 27 19:22:32 2021 matrix is 13872058 x 13872258 (4976.4 MB) with weight 1429320561 (103.03/col)
  319. Mon Dec 27 19:22:32 2021 sparse part has weight 1151931988 (83.04/col)
  320. Mon Dec 27 19:22:32 2021 saving the first 48 matrix rows for later
  321. Mon Dec 27 19:22:39 2021 matrix includes 64 packed rows
  322. Mon Dec 27 19:22:42 2021 matrix is 13872010 x 13872258 (4759.2 MB) with weight 1189852949 (85.77/col)
  323. Mon Dec 27 19:22:42 2021 sparse part has weight 1108882304 (79.94/col)
  324. Mon Dec 27 19:22:42 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  325. Mon Dec 27 19:24:17 2021 commencing Lanczos iteration (6 threads)
  326. Mon Dec 27 19:24:17 2021 memory use: 4028.2 MB
  327. Mon Dec 27 19:25:43 2021 linear algebra at 0.0%, ETA 207h35m
  328. Mon Dec 27 19:26:09 2021 checkpointing every 70000 dimensions
  329. Tue Dec 28 06:14:02 2021 lanczos halted after 12012 iterations (dim = 759649)
  330. Tue Dec 28 06:14:17 2021 BLanczosTime: 40988
  331.  
  332. Tue Dec 28 06:17:35 2021
  333. Tue Dec 28 06:17:35 2021
  334. Tue Dec 28 06:17:35 2021 Msieve v. 1.53 (SVN 988)
  335. Tue Dec 28 06:17:35 2021 random seeds: e75a81b0 f4f77e7e
  336. Tue Dec 28 06:17:35 2021 factoring 7111580075526278775679313189970839090732133049766879316160733792624182905025281651936558674521502898646458629054051319115482070639172902951091064902333300074938950365486374902942632471569384054032185986399888706081 (214 digits)
  337. Tue Dec 28 06:17:37 2021 searching for 15-digit factors
  338. Tue Dec 28 06:17:38 2021 commencing number field sieve (214-digit input)
  339. Tue Dec 28 06:17:38 2021 R0: -16185352663556808004585485241803647831052230560818128775017
  340. Tue Dec 28 06:17:38 2021 R1: 314866272843443520682746435306857343117552793400213766144
  341. Tue Dec 28 06:17:38 2021 A0: -4
  342. Tue Dec 28 06:17:38 2021 A1: 12
  343. Tue Dec 28 06:17:38 2021 A2: -6
  344. Tue Dec 28 06:17:38 2021 A3: -2
  345. Tue Dec 28 06:17:38 2021 A4: 1
  346. Tue Dec 28 06:17:38 2021 skew 1.41, size 1.242e-023, alpha 1.793, combined = 4.177e-014 rroots = 4
  347. Tue Dec 28 06:17:38 2021
  348. Tue Dec 28 06:17:38 2021 commencing relation filtering
  349. Tue Dec 28 06:17:38 2021 setting max relations to 255000000
  350. Tue Dec 28 06:17:38 2021 setting target matrix density to 130.0
  351. Tue Dec 28 06:17:38 2021 estimated available RAM is 12041.5 MB
  352. Tue Dec 28 06:17:38 2021 commencing duplicate removal, pass 1
  353. Tue Dec 28 06:17:59 2021 error -9 reading relation 1506319
  354. Tue Dec 28 06:18:47 2021 error -1 reading relation 4978050
  355. Tue Dec 28 06:19:28 2021 error -9 reading relation 8038217
  356. Tue Dec 28 06:19:30 2021 error -9 reading relation 8173250
  357. Tue Dec 28 06:19:44 2021 error -1 reading relation 9117590
  358. Tue Dec 28 06:20:00 2021 error -9 reading relation 10291171
  359. Tue Dec 28 06:21:26 2021 error -1 reading relation 16679446
  360. Tue Dec 28 06:23:28 2021 error -9 reading relation 25610786
  361. Tue Dec 28 06:23:32 2021 error -1 reading relation 25874588
  362. Tue Dec 28 06:23:33 2021 error -9 reading relation 25941615
  363. Tue Dec 28 06:23:49 2021 error -9 reading relation 27173132
  364. Tue Dec 28 06:23:50 2021 error -9 reading relation 27268301
  365. Tue Dec 28 06:24:57 2021 error -9 reading relation 32035562
  366. Tue Dec 28 06:25:38 2021 error -5 reading relation 34925249
  367. Tue Dec 28 06:27:09 2021 error -9 reading relation 41470233
  368. Tue Dec 28 06:27:10 2021 error -1 reading relation 41584790
  369. Tue Dec 28 06:27:41 2021 error -9 reading relation 44048872
  370. Tue Dec 28 06:27:48 2021 error -9 reading relation 44564940
  371. Tue Dec 28 06:27:48 2021 error -15 reading relation 44585333
  372. Tue Dec 28 06:27:49 2021 error -15 reading relation 44662773
  373. Tue Dec 28 06:27:55 2021 error -9 reading relation 45194290
  374. Tue Dec 28 06:27:56 2021 error -5 reading relation 45247805
  375. Tue Dec 28 06:27:56 2021 error -9 reading relation 45298979
  376. Tue Dec 28 06:28:31 2021 error -1 reading relation 48056998
  377. Tue Dec 28 06:28:31 2021 error -9 reading relation 48058449
  378. Tue Dec 28 06:28:37 2021 error -9 reading relation 48578808
  379. Tue Dec 28 06:30:35 2021 error -9 reading relation 57963077
  380. Tue Dec 28 06:31:04 2021 error -9 reading relation 60192765
  381. Tue Dec 28 06:31:25 2021 error -9 reading relation 61906972
  382. Tue Dec 28 06:33:30 2021 error -9 reading relation 70474213
  383. Tue Dec 28 06:33:46 2021 error -9 reading relation 71626825
  384. Tue Dec 28 06:34:23 2021 error -9 reading relation 74529786
  385. Tue Dec 28 06:34:40 2021 error -1 reading relation 75777090
  386. Tue Dec 28 06:34:48 2021 error -9 reading relation 76383117
  387. Tue Dec 28 06:35:12 2021 error -15 reading relation 78008389
  388. Tue Dec 28 06:35:58 2021 error -15 reading relation 81200685
  389. Tue Dec 28 06:36:50 2021 error -9 reading relation 84773236
  390. Tue Dec 28 06:36:55 2021 error -9 reading relation 85167031
  391. Tue Dec 28 06:37:09 2021 error -1 reading relation 86162955
  392. Tue Dec 28 06:37:16 2021 error -9 reading relation 86671849
  393. Tue Dec 28 06:37:27 2021 error -1 reading relation 87392634
  394. Tue Dec 28 06:37:30 2021 error -9 reading relation 87607085
  395. Tue Dec 28 06:37:42 2021 error -9 reading relation 88482145
  396. Tue Dec 28 06:37:55 2021 error -9 reading relation 89387337
  397. Tue Dec 28 06:38:22 2021 error -15 reading relation 91248799
  398. Tue Dec 28 06:38:26 2021 error -9 reading relation 91546912
  399. Tue Dec 28 06:38:36 2021 error -9 reading relation 92246163
  400. Tue Dec 28 06:38:46 2021 error -9 reading relation 92945655
  401. Tue Dec 28 06:39:07 2021 error -15 reading relation 94410068
  402. Tue Dec 28 06:39:08 2021 error -5 reading relation 94508654
  403. Tue Dec 28 06:39:32 2021 error -5 reading relation 96155315
  404. Tue Dec 28 06:40:15 2021 error -9 reading relation 99261972
  405. Tue Dec 28 06:40:28 2021 error -1 reading relation 100138352
  406. Tue Dec 28 06:40:32 2021 error -15 reading relation 100431467
  407. Tue Dec 28 06:40:40 2021 error -15 reading relation 101027961
  408. Tue Dec 28 06:40:40 2021 error -9 reading relation 101040006
  409. Tue Dec 28 06:40:45 2021 error -1 reading relation 101352451
  410. Tue Dec 28 06:40:46 2021 error -1 reading relation 101400655
  411. Tue Dec 28 06:40:53 2021 error -9 reading relation 101913665
  412. Tue Dec 28 06:41:27 2021 error -9 reading relation 104336247
  413. Tue Dec 28 06:41:32 2021 error -9 reading relation 104651710
  414. Tue Dec 28 06:42:03 2021 error -9 reading relation 106860337
  415. Tue Dec 28 06:42:08 2021 error -9 reading relation 107178728
  416. Tue Dec 28 06:44:00 2021 error -1 reading relation 115188829
  417. Tue Dec 28 06:44:38 2021 error -15 reading relation 117782067
  418. Tue Dec 28 06:44:55 2021 error -15 reading relation 118973925
  419. Tue Dec 28 06:47:54 2021 error -1 reading relation 131678287
  420. Tue Dec 28 06:48:10 2021 error -9 reading relation 132776960
  421. Tue Dec 28 06:48:21 2021 error -9 reading relation 133518927
  422. Tue Dec 28 06:48:38 2021 error -5 reading relation 134699973
  423. Tue Dec 28 06:49:29 2021 error -15 reading relation 138153213
  424. Tue Dec 28 06:49:34 2021 error -9 reading relation 138431824
  425. Tue Dec 28 06:49:35 2021 error -1 reading relation 138548986
  426. Tue Dec 28 06:49:39 2021 error -5 reading relation 138769604
  427. Tue Dec 28 06:50:13 2021 error -9 reading relation 141122270
  428. Tue Dec 28 06:50:52 2021 error -1 reading relation 143438835
  429. Tue Dec 28 06:51:34 2021 error -9 reading relation 145848716
  430. Tue Dec 28 06:51:51 2021 error -1 reading relation 146836768
  431. Tue Dec 28 06:52:16 2021 error -9 reading relation 148857841
  432. Tue Dec 28 06:53:04 2021 error -1 reading relation 152273604
  433. Tue Dec 28 06:54:18 2021 error -1 reading relation 157367739
  434. Tue Dec 28 06:54:21 2021 error -9 reading relation 157589298
  435. Tue Dec 28 06:58:21 2021 error -1 reading relation 173061614
  436. Tue Dec 28 06:59:03 2021 error -9 reading relation 175813935
  437. Tue Dec 28 06:59:39 2021 error -9 reading relation 178283882
  438. Tue Dec 28 07:02:05 2021 error -9 reading relation 188291879
  439. Tue Dec 28 07:02:08 2021 error -9 reading relation 188467875
  440. Tue Dec 28 07:03:50 2021 error -9 reading relation 195500314
  441. Tue Dec 28 07:04:16 2021 error -9 reading relation 197218577
  442. Tue Dec 28 07:04:55 2021 error -9 reading relation 199911533
  443. Tue Dec 28 07:04:59 2021 error -15 reading relation 200219295
  444. Tue Dec 28 07:05:27 2021 error -9 reading relation 202127266
  445. Tue Dec 28 07:05:30 2021 error -9 reading relation 202315224
  446. Tue Dec 28 07:05:59 2021 error -1 reading relation 204264841
  447. Tue Dec 28 07:06:00 2021 error -9 reading relation 204328800
  448. Tue Dec 28 07:06:37 2021 error -5 reading relation 206924700
  449. Tue Dec 28 07:06:38 2021 error -9 reading relation 206932589
  450. Tue Dec 28 07:07:12 2021 error -9 reading relation 209273836
  451. Tue Dec 28 07:07:27 2021 error -15 reading relation 210255753
  452. Tue Dec 28 07:07:31 2021 error -1 reading relation 210537852
  453. Tue Dec 28 07:08:33 2021 error -9 reading relation 214776635
  454. Tue Dec 28 07:08:36 2021 error -5 reading relation 214980319
  455. Tue Dec 28 07:09:26 2021 error -9 reading relation 218331564
  456. Tue Dec 28 07:09:41 2021 error -9 reading relation 219293746
  457. Tue Dec 28 07:11:17 2021 error -9 reading relation 226126457
  458. Tue Dec 28 07:11:54 2021 error -1 reading relation 228845357
  459. Tue Dec 28 07:11:57 2021 error -15 reading relation 229045974
  460. Tue Dec 28 07:12:00 2021 error -1 reading relation 229234713
  461. Tue Dec 28 07:12:05 2021 error -9 reading relation 229627022
  462. Tue Dec 28 07:12:29 2021 error -1 reading relation 231349089
  463. Tue Dec 28 07:12:40 2021 error -1 reading relation 232150936
  464. Tue Dec 28 07:13:39 2021 error -9 reading relation 236332549
  465. Tue Dec 28 07:13:42 2021 error -15 reading relation 236496935
  466. Tue Dec 28 07:13:50 2021 error -9 reading relation 237062070
  467. Tue Dec 28 07:14:50 2021 error -1 reading relation 241388737
  468. Tue Dec 28 07:15:36 2021 error -1 reading relation 244584550
  469. Tue Dec 28 07:15:42 2021 error -1 reading relation 244970887
  470. Tue Dec 28 07:15:51 2021 error -1 reading relation 245615959
  471. Tue Dec 28 07:16:39 2021 error -9 reading relation 249014357
  472. Tue Dec 28 07:16:48 2021 error -9 reading relation 249642232
  473. Tue Dec 28 07:17:14 2021 error -9 reading relation 251531820
  474. Tue Dec 28 07:18:03 2021 skipped 3186 relations with b > 2^32
  475. Tue Dec 28 07:18:03 2021 skipped 63 relations with composite factors
  476. Tue Dec 28 07:18:03 2021 found 54826310 hash collisions in 254996630 relations
  477. Tue Dec 28 07:18:03 2021 commencing duplicate removal, pass 2
  478. Tue Dec 28 07:22:16 2021 found 57664842 duplicates and 197331788 unique relations
  479. Tue Dec 28 07:22:16 2021 memory use: 1321.5 MB
  480. Tue Dec 28 07:22:16 2021 reading ideals above 199950336
  481. Tue Dec 28 07:22:16 2021 commencing singleton removal, initial pass
  482. Tue Dec 28 07:58:41 2021 memory use: 3012.0 MB
  483. Tue Dec 28 07:58:41 2021 reading all ideals from disk
  484. Tue Dec 28 07:58:48 2021 memory use: 3411.5 MB
  485. Tue Dec 28 07:58:59 2021 commencing in-memory singleton removal
  486. Tue Dec 28 07:59:10 2021 begin with 197331788 relations and 155268607 unique ideals
  487. Tue Dec 28 08:01:07 2021 reduce to 138085845 relations and 90799466 ideals in 13 passes
  488. Tue Dec 28 08:01:07 2021 max relations containing the same ideal: 45
  489. Tue Dec 28 08:01:24 2021 reading ideals above 720000
  490. Tue Dec 28 08:01:24 2021 commencing singleton removal, initial pass
  491. Tue Dec 28 08:30:59 2021 memory use: 3012.0 MB
  492. Tue Dec 28 08:30:59 2021 reading all ideals from disk
  493. Tue Dec 28 08:31:14 2021 memory use: 5695.3 MB
  494. Tue Dec 28 08:31:40 2021 keeping 112207754 ideals with weight <= 200, target excess is 729763
  495. Tue Dec 28 08:32:05 2021 commencing in-memory singleton removal
  496. Tue Dec 28 08:32:25 2021 begin with 138085845 relations and 112207754 unique ideals
  497. Tue Dec 28 08:34:48 2021 reduce to 137946654 relations and 112068535 ideals in 9 passes
  498. Tue Dec 28 08:34:48 2021 max relations containing the same ideal: 200
  499. Tue Dec 28 08:36:14 2021 removing 10138274 relations and 8138274 ideals in 2000000 cliques
  500. Tue Dec 28 08:36:20 2021 commencing in-memory singleton removal
  501. Tue Dec 28 08:36:38 2021 begin with 127808380 relations and 112068535 unique ideals
  502. Tue Dec 28 08:38:35 2021 reduce to 127222038 relations and 103333090 ideals in 8 passes
  503. Tue Dec 28 08:38:35 2021 max relations containing the same ideal: 197
  504. Tue Dec 28 08:39:55 2021 removing 7835471 relations and 5835471 ideals in 2000000 cliques
  505. Tue Dec 28 08:40:00 2021 commencing in-memory singleton removal
  506. Tue Dec 28 08:40:17 2021 begin with 119386567 relations and 103333090 unique ideals
  507. Tue Dec 28 08:42:04 2021 reduce to 118989028 relations and 97093574 ideals in 8 passes
  508. Tue Dec 28 08:42:04 2021 max relations containing the same ideal: 191
  509. Tue Dec 28 08:43:19 2021 removing 7169958 relations and 5169958 ideals in 2000000 cliques
  510. Tue Dec 28 08:43:24 2021 commencing in-memory singleton removal
  511. Tue Dec 28 08:43:40 2021 begin with 111819070 relations and 97093574 unique ideals
  512. Tue Dec 28 08:44:56 2021 reduce to 111464852 relations and 91563734 ideals in 6 passes
  513. Tue Dec 28 08:44:56 2021 max relations containing the same ideal: 183
  514. Tue Dec 28 08:46:08 2021 removing 6837814 relations and 4837814 ideals in 2000000 cliques
  515. Tue Dec 28 08:46:11 2021 commencing in-memory singleton removal
  516. Tue Dec 28 08:46:26 2021 begin with 104627038 relations and 91563734 unique ideals
  517. Tue Dec 28 08:47:48 2021 reduce to 104287091 relations and 86380257 ideals in 7 passes
  518. Tue Dec 28 08:47:48 2021 max relations containing the same ideal: 176
  519. Tue Dec 28 08:48:56 2021 removing 6646374 relations and 4646374 ideals in 2000000 cliques
  520. Tue Dec 28 08:49:00 2021 commencing in-memory singleton removal
  521. Tue Dec 28 08:49:13 2021 begin with 97640717 relations and 86380257 unique ideals
  522. Tue Dec 28 08:50:29 2021 reduce to 97304803 relations and 81392061 ideals in 7 passes
  523. Tue Dec 28 08:50:29 2021 max relations containing the same ideal: 169
  524. Tue Dec 28 08:51:33 2021 removing 6529269 relations and 4529269 ideals in 2000000 cliques
  525. Tue Dec 28 08:51:37 2021 commencing in-memory singleton removal
  526. Tue Dec 28 08:51:50 2021 begin with 90775534 relations and 81392061 unique ideals
  527. Tue Dec 28 08:52:50 2021 reduce to 90432578 relations and 76513511 ideals in 6 passes
  528. Tue Dec 28 08:52:50 2021 max relations containing the same ideal: 161
  529. Tue Dec 28 08:53:50 2021 removing 6464921 relations and 4464921 ideals in 2000000 cliques
  530. Tue Dec 28 08:53:53 2021 commencing in-memory singleton removal
  531. Tue Dec 28 08:54:05 2021 begin with 83967657 relations and 76513511 unique ideals
  532. Tue Dec 28 08:55:01 2021 reduce to 83610120 relations and 71684148 ideals in 6 passes
  533. Tue Dec 28 08:55:01 2021 max relations containing the same ideal: 158
  534. Tue Dec 28 08:55:59 2021 removing 6436901 relations and 4436901 ideals in 2000000 cliques
  535. Tue Dec 28 08:56:03 2021 commencing in-memory singleton removal
  536. Tue Dec 28 08:56:14 2021 begin with 77173219 relations and 71684148 unique ideals
  537. Tue Dec 28 08:57:19 2021 reduce to 76793933 relations and 66860023 ideals in 7 passes
  538. Tue Dec 28 08:57:19 2021 max relations containing the same ideal: 149
  539. Tue Dec 28 08:58:14 2021 removing 6440590 relations and 4440590 ideals in 2000000 cliques
  540. Tue Dec 28 08:58:17 2021 commencing in-memory singleton removal
  541. Tue Dec 28 08:58:28 2021 begin with 70353343 relations and 66860023 unique ideals
  542. Tue Dec 28 08:59:24 2021 reduce to 69944171 relations and 62001132 ideals in 7 passes
  543. Tue Dec 28 08:59:24 2021 max relations containing the same ideal: 139
  544. Tue Dec 28 09:00:15 2021 removing 6475117 relations and 4475117 ideals in 2000000 cliques
  545. Tue Dec 28 09:00:18 2021 commencing in-memory singleton removal
  546. Tue Dec 28 09:00:27 2021 begin with 63469054 relations and 62001132 unique ideals
  547. Tue Dec 28 09:01:19 2021 reduce to 63017782 relations and 57063860 ideals in 7 passes
  548. Tue Dec 28 09:01:19 2021 max relations containing the same ideal: 126
  549. Tue Dec 28 09:02:04 2021 removing 6529113 relations and 4529113 ideals in 2000000 cliques
  550. Tue Dec 28 09:02:07 2021 commencing in-memory singleton removal
  551. Tue Dec 28 09:02:15 2021 begin with 56488669 relations and 57063860 unique ideals
  552. Tue Dec 28 09:02:58 2021 reduce to 55978538 relations and 52010871 ideals in 7 passes
  553. Tue Dec 28 09:02:58 2021 max relations containing the same ideal: 117
  554. Tue Dec 28 09:03:40 2021 removing 6622193 relations and 4622193 ideals in 2000000 cliques
  555. Tue Dec 28 09:03:43 2021 commencing in-memory singleton removal
  556. Tue Dec 28 09:03:50 2021 begin with 49356345 relations and 52010871 unique ideals
  557. Tue Dec 28 09:04:35 2021 reduce to 48763299 relations and 46777995 ideals in 8 passes
  558. Tue Dec 28 09:04:35 2021 max relations containing the same ideal: 109
  559. Tue Dec 28 09:05:12 2021 removing 4301197 relations and 3162419 ideals in 1138778 cliques
  560. Tue Dec 28 09:05:14 2021 commencing in-memory singleton removal
  561. Tue Dec 28 09:05:21 2021 begin with 44462102 relations and 46777995 unique ideals
  562. Tue Dec 28 09:05:56 2021 reduce to 44181841 relations and 43329708 ideals in 7 passes
  563. Tue Dec 28 09:05:56 2021 max relations containing the same ideal: 102
  564. Tue Dec 28 09:06:37 2021 relations with 0 large ideals: 0
  565. Tue Dec 28 09:06:37 2021 relations with 1 large ideals: 4244
  566. Tue Dec 28 09:06:37 2021 relations with 2 large ideals: 82358
  567. Tue Dec 28 09:06:37 2021 relations with 3 large ideals: 642167
  568. Tue Dec 28 09:06:37 2021 relations with 4 large ideals: 2725533
  569. Tue Dec 28 09:06:37 2021 relations with 5 large ideals: 6964699
  570. Tue Dec 28 09:06:37 2021 relations with 6 large ideals: 11174804
  571. Tue Dec 28 09:06:37 2021 relations with 7+ large ideals: 22588036
  572. Tue Dec 28 09:06:37 2021 commencing 2-way merge
  573. Tue Dec 28 09:07:23 2021 reduce to 29391566 relation sets and 28539433 unique ideals
  574. Tue Dec 28 09:07:23 2021 commencing full merge
  575. Tue Dec 28 09:25:57 2021 memory use: 3725.8 MB
  576. Tue Dec 28 09:26:07 2021 found 13005235 cycles, need 12981633
  577. Tue Dec 28 09:26:08 2021 weight of 12981633 cycles is about 1687618940 (130.00/cycle)
  578. Tue Dec 28 09:26:08 2021 distribution of cycle lengths:
  579. Tue Dec 28 09:26:08 2021 1 relations: 512768
  580. Tue Dec 28 09:26:08 2021 2 relations: 785412
  581. Tue Dec 28 09:26:08 2021 3 relations: 902590
  582. Tue Dec 28 09:26:08 2021 4 relations: 928255
  583. Tue Dec 28 09:26:08 2021 5 relations: 951868
  584. Tue Dec 28 09:26:08 2021 6 relations: 947185
  585. Tue Dec 28 09:26:08 2021 7 relations: 926135
  586. Tue Dec 28 09:26:08 2021 8 relations: 890937
  587. Tue Dec 28 09:26:08 2021 9 relations: 840785
  588. Tue Dec 28 09:26:08 2021 10+ relations: 5295698
  589. Tue Dec 28 09:26:08 2021 heaviest cycle: 28 relations
  590. Tue Dec 28 09:26:40 2021 commencing cycle optimization
  591. Tue Dec 28 09:27:12 2021 start with 116754460 relations
  592. Tue Dec 28 09:34:44 2021 pruned 6043293 relations
  593. Tue Dec 28 09:34:44 2021 memory use: 3030.6 MB
  594. Tue Dec 28 09:34:44 2021 distribution of cycle lengths:
  595. Tue Dec 28 09:34:44 2021 1 relations: 512768
  596. Tue Dec 28 09:34:44 2021 2 relations: 808653
  597. Tue Dec 28 09:34:44 2021 3 relations: 946662
  598. Tue Dec 28 09:34:44 2021 4 relations: 972839
  599. Tue Dec 28 09:34:44 2021 5 relations: 1005518
  600. Tue Dec 28 09:34:44 2021 6 relations: 998435
  601. Tue Dec 28 09:34:44 2021 7 relations: 980916
  602. Tue Dec 28 09:34:44 2021 8 relations: 939108
  603. Tue Dec 28 09:34:44 2021 9 relations: 885791
  604. Tue Dec 28 09:34:44 2021 10+ relations: 4930943
  605. Tue Dec 28 09:34:44 2021 heaviest cycle: 28 relations
  606. Tue Dec 28 09:35:34 2021 RelProcTime: 11876
  607. Tue Dec 28 09:35:34 2021
  608. Tue Dec 28 09:35:34 2021 commencing linear algebra
  609. Tue Dec 28 09:35:38 2021 read 12981633 cycles
  610. Tue Dec 28 09:36:24 2021 cycles contain 43701395 unique relations
  611. Tue Dec 28 09:44:04 2021 read 43701395 relations
  612. Tue Dec 28 09:46:26 2021 using 20 quadratic characters above 4294917295
  613. Tue Dec 28 09:51:42 2021 building initial matrix
  614. Tue Dec 28 10:06:59 2021 memory use: 5752.6 MB
  615. Tue Dec 28 10:07:33 2021 read 12981633 cycles
  616. Tue Dec 28 10:07:37 2021 matrix is 12981456 x 12981633 (6468.3 MB) with weight 1843764761 (142.03/col)
  617. Tue Dec 28 10:07:37 2021 sparse part has weight 1552830428 (119.62/col)
  618. Tue Dec 28 10:12:17 2021 filtering completed in 2 passes
  619. Tue Dec 28 10:12:20 2021 matrix is 12981343 x 12981520 (6468.3 MB) with weight 1843760982 (142.03/col)
  620. Tue Dec 28 10:12:20 2021 sparse part has weight 1552829272 (119.62/col)
  621. Tue Dec 28 10:13:50 2021 matrix starts at (0, 0)
  622. Tue Dec 28 10:13:53 2021 matrix is 12981343 x 12981520 (6468.3 MB) with weight 1843760982 (142.03/col)
  623. Tue Dec 28 10:13:53 2021 sparse part has weight 1552829272 (119.62/col)
  624. Tue Dec 28 10:13:53 2021 saving the first 48 matrix rows for later
  625. Tue Dec 28 10:14:00 2021 matrix includes 64 packed rows
  626. Tue Dec 28 10:14:02 2021 matrix is 12981295 x 12981520 (6202.3 MB) with weight 1598921142 (123.17/col)
  627. Tue Dec 28 10:14:02 2021 sparse part has weight 1496075056 (115.25/col)
  628. Tue Dec 28 10:14:02 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  629. Tue Dec 28 10:16:07 2021 commencing Lanczos iteration (6 threads)
  630. Tue Dec 28 10:16:07 2021 memory use: 5317.3 MB
  631. Tue Dec 28 10:17:37 2021 linear algebra at 0.0%, ETA 204h48m
  632. Tue Dec 28 10:18:06 2021 checkpointing every 70000 dimensions
  633. Wed Jan 05 23:28:32 2022 lanczos halted after 205282 iterations (dim = 12981294)
  634. Wed Jan 05 23:28:52 2022 recovered 34 nontrivial dependencies
  635. Wed Jan 05 23:29:11 2022 BLanczosTime: 741217
  636. Wed Jan 05 23:29:11 2022
  637. Wed Jan 05 23:29:11 2022 commencing square root phase
  638. Wed Jan 05 23:29:12 2022 handling dependencies 1 to 64
  639. Wed Jan 05 23:29:12 2022 reading relations for dependency 1
  640. Wed Jan 05 23:29:17 2022 read 6492333 cycles
  641. Wed Jan 05 23:29:40 2022 cycles contain 21854884 unique relations
  642. Wed Jan 05 23:34:44 2022 read 21854884 relations
  643. Wed Jan 05 23:38:02 2022 multiplying 21854884 relations
  644. Wed Jan 05 23:53:24 2022 multiply complete, coefficients have about 590.40 million bits
  645. Wed Jan 05 23:53:27 2022 initial square root is modulo 198047
  646. Thu Jan 06 00:08:03 2022 sqrtTime: 2331
  647. Thu Jan 06 00:08:03 2022 p100 factor: 1276904990213738009765348776742310899222071691743016987255029225837402287533203826174892309467432081
  648. Thu Jan 06 00:08:03 2022 p115 factor: 5569388584138815797168768979274648335158593754633688001703708138273844516183004258193224687478838970500901336954001
  649. Thu Jan 06 00:08:03 2022 elapsed time 209:50:28
  650.  
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