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  1. Tue Jul 26 19:23:03 2022
  2. Tue Jul 26 19:23:03 2022
  3. Tue Jul 26 19:23:03 2022 Msieve v. 1.54 (SVN 1044)
  4. Tue Jul 26 19:23:03 2022 random seeds: 5ebf8259 8cb298e6
  5. Tue Jul 26 19:23:03 2022 factoring 47940673072437922579316499036808886917303880395238883229370628681522442640511912752880623100214549339392329234378137244735199339209552179343331130401596800142483284535014438655663103434626799676112750331479036460253086552650629357368146817 (239 digits)
  6. Tue Jul 26 19:23:04 2022 searching for 15-digit factors
  7. Tue Jul 26 19:23:04 2022 commencing number field sieve (239-digit input)
  8. Tue Jul 26 19:23:04 2022 R0: 78551672112789411833022577315290546060373041
  9. Tue Jul 26 19:23:04 2022 R1: -348449143727040986586495598010130648530944
  10. Tue Jul 26 19:23:04 2022 A0: 8
  11. Tue Jul 26 19:23:04 2022 A1: 0
  12. Tue Jul 26 19:23:04 2022 A2: 0
  13. Tue Jul 26 19:23:04 2022 A3: 0
  14. Tue Jul 26 19:23:04 2022 A4: 0
  15. Tue Jul 26 19:23:04 2022 A5: 0
  16. Tue Jul 26 19:23:04 2022 A6: 9
  17. Tue Jul 26 19:23:04 2022 skew 0.98, size 4.215e-13, alpha 1.337, combined = 6.137e-14 rroots = 0
  18. Tue Jul 26 19:23:04 2022
  19. Tue Jul 26 19:23:04 2022 commencing relation filtering
  20. Tue Jul 26 19:23:04 2022 setting target matrix density to 130.0
  21. Tue Jul 26 19:23:04 2022 estimated available RAM is 31808.8 MB
  22. Tue Jul 26 19:23:04 2022 commencing duplicate removal, pass 1
  23. Tue Jul 26 19:58:08 2022 error -11 reading relation 339700732
  24. Tue Jul 26 20:01:13 2022 skipped 1648 relations with b > 2^32
  25. Tue Jul 26 20:01:13 2022 found 28224754 hash collisions in 368059474 relations
  26. Tue Jul 26 20:01:22 2022 commencing duplicate removal, pass 2
  27. Tue Jul 26 20:03:31 2022 found 0 duplicates and 368059474 unique relations
  28. Tue Jul 26 20:03:31 2022 memory use: 1321.5 MB
  29. Tue Jul 26 20:03:31 2022 reading ideals above 200736768
  30. Tue Jul 26 20:03:31 2022 commencing singleton removal, initial pass
  31. Tue Jul 26 20:33:08 2022 memory use: 6024.0 MB
  32. Tue Jul 26 20:33:08 2022 reading all ideals from disk
  33. Tue Jul 26 20:33:18 2022 memory use: 6975.4 MB
  34. Tue Jul 26 20:33:38 2022 commencing in-memory singleton removal
  35. Tue Jul 26 20:33:58 2022 begin with 368059474 relations and 319618712 unique ideals
  36. Tue Jul 26 20:37:14 2022 reduce to 237096257 relations and 175189516 ideals in 14 passes
  37. Tue Jul 26 20:37:14 2022 max relations containing the same ideal: 36
  38. Tue Jul 26 20:37:30 2022 reading ideals above 720000
  39. Tue Jul 26 20:37:30 2022 commencing singleton removal, initial pass
  40. Tue Jul 26 21:04:54 2022 memory use: 5512.0 MB
  41. Tue Jul 26 21:04:55 2022 reading all ideals from disk
  42. Tue Jul 26 21:05:11 2022 memory use: 9939.2 MB
  43. Tue Jul 26 21:05:45 2022 keeping 196223681 ideals with weight <= 200, target excess is 1200552
  44. Tue Jul 26 21:06:20 2022 commencing in-memory singleton removal
  45. Tue Jul 26 21:06:46 2022 begin with 237096257 relations and 196223681 unique ideals
  46. Tue Jul 26 21:09:19 2022 reduce to 237096065 relations and 196223489 ideals in 7 passes
  47. Tue Jul 26 21:09:19 2022 max relations containing the same ideal: 200
  48. Tue Jul 26 21:11:25 2022 removing 13579353 relations and 11579353 ideals in 2000000 cliques
  49. Tue Jul 26 21:11:32 2022 commencing in-memory singleton removal
  50. Tue Jul 26 21:11:57 2022 begin with 223516712 relations and 196223489 unique ideals
  51. Tue Jul 26 21:14:43 2022 reduce to 222910559 relations and 184031012 ideals in 8 passes
  52. Tue Jul 26 21:14:43 2022 max relations containing the same ideal: 199
  53. Tue Jul 26 21:16:42 2022 removing 10215187 relations and 8215187 ideals in 2000000 cliques
  54. Tue Jul 26 21:16:49 2022 commencing in-memory singleton removal
  55. Tue Jul 26 21:17:12 2022 begin with 212695372 relations and 184031012 unique ideals
  56. Tue Jul 26 21:19:31 2022 reduce to 212312669 relations and 175429424 ideals in 7 passes
  57. Tue Jul 26 21:19:31 2022 max relations containing the same ideal: 195
  58. Tue Jul 26 21:21:24 2022 removing 9166287 relations and 7166287 ideals in 2000000 cliques
  59. Tue Jul 26 21:21:31 2022 commencing in-memory singleton removal
  60. Tue Jul 26 21:21:53 2022 begin with 203146382 relations and 175429424 unique ideals
  61. Tue Jul 26 21:24:24 2022 reduce to 202817376 relations and 167930951 ideals in 8 passes
  62. Tue Jul 26 21:24:24 2022 max relations containing the same ideal: 191
  63. Tue Jul 26 21:26:12 2022 removing 8594189 relations and 6594189 ideals in 2000000 cliques
  64. Tue Jul 26 21:26:18 2022 commencing in-memory singleton removal
  65. Tue Jul 26 21:26:39 2022 begin with 194223187 relations and 167930951 unique ideals
  66. Tue Jul 26 21:28:45 2022 reduce to 193920253 relations and 161030918 ideals in 7 passes
  67. Tue Jul 26 21:28:45 2022 max relations containing the same ideal: 187
  68. Tue Jul 26 21:30:29 2022 removing 8228055 relations and 6228055 ideals in 2000000 cliques
  69. Tue Jul 26 21:30:35 2022 commencing in-memory singleton removal
  70. Tue Jul 26 21:30:55 2022 begin with 185692198 relations and 161030918 unique ideals
  71. Tue Jul 26 21:32:55 2022 reduce to 185403520 relations and 154511360 ideals in 7 passes
  72. Tue Jul 26 21:32:55 2022 max relations containing the same ideal: 183
  73. Tue Jul 26 21:34:34 2022 removing 7970993 relations and 5970993 ideals in 2000000 cliques
  74. Tue Jul 26 21:34:40 2022 commencing in-memory singleton removal
  75. Tue Jul 26 21:34:58 2022 begin with 177432527 relations and 154511360 unique ideals
  76. Tue Jul 26 21:36:53 2022 reduce to 177150392 relations and 148255410 ideals in 7 passes
  77. Tue Jul 26 21:36:53 2022 max relations containing the same ideal: 179
  78. Tue Jul 26 21:38:27 2022 removing 7787760 relations and 5787760 ideals in 2000000 cliques
  79. Tue Jul 26 21:38:33 2022 commencing in-memory singleton removal
  80. Tue Jul 26 21:38:51 2022 begin with 169362632 relations and 148255410 unique ideals
  81. Tue Jul 26 21:40:39 2022 reduce to 169082905 relations and 142184958 ideals in 7 passes
  82. Tue Jul 26 21:40:39 2022 max relations containing the same ideal: 176
  83. Tue Jul 26 21:42:09 2022 removing 7651812 relations and 5651812 ideals in 2000000 cliques
  84. Tue Jul 26 21:42:15 2022 commencing in-memory singleton removal
  85. Tue Jul 26 21:42:32 2022 begin with 161431093 relations and 142184958 unique ideals
  86. Tue Jul 26 21:44:14 2022 reduce to 161149329 relations and 136248303 ideals in 7 passes
  87. Tue Jul 26 21:44:14 2022 max relations containing the same ideal: 169
  88. Tue Jul 26 21:45:40 2022 removing 7552675 relations and 5552675 ideals in 2000000 cliques
  89. Tue Jul 26 21:45:45 2022 commencing in-memory singleton removal
  90. Tue Jul 26 21:46:02 2022 begin with 153596654 relations and 136248303 unique ideals
  91. Tue Jul 26 21:47:39 2022 reduce to 153311018 relations and 130406832 ideals in 7 passes
  92. Tue Jul 26 21:47:39 2022 max relations containing the same ideal: 160
  93. Tue Jul 26 21:49:01 2022 removing 7483069 relations and 5483069 ideals in 2000000 cliques
  94. Tue Jul 26 21:49:06 2022 commencing in-memory singleton removal
  95. Tue Jul 26 21:49:21 2022 begin with 145827949 relations and 130406832 unique ideals
  96. Tue Jul 26 21:50:53 2022 reduce to 145535171 relations and 124627612 ideals in 7 passes
  97. Tue Jul 26 21:50:53 2022 max relations containing the same ideal: 154
  98. Tue Jul 26 21:52:11 2022 removing 7431466 relations and 5431466 ideals in 2000000 cliques
  99. Tue Jul 26 21:52:16 2022 commencing in-memory singleton removal
  100. Tue Jul 26 21:52:31 2022 begin with 138103705 relations and 124627612 unique ideals
  101. Tue Jul 26 21:54:09 2022 reduce to 137800532 relations and 118889227 ideals in 8 passes
  102. Tue Jul 26 21:54:09 2022 max relations containing the same ideal: 152
  103. Tue Jul 26 21:55:23 2022 removing 7400986 relations and 5400986 ideals in 2000000 cliques
  104. Tue Jul 26 21:55:28 2022 commencing in-memory singleton removal
  105. Tue Jul 26 21:55:42 2022 begin with 130399546 relations and 118889227 unique ideals
  106. Tue Jul 26 21:57:03 2022 reduce to 130083324 relations and 113168009 ideals in 7 passes
  107. Tue Jul 26 21:57:03 2022 max relations containing the same ideal: 148
  108. Tue Jul 26 21:58:14 2022 removing 7394563 relations and 5394563 ideals in 2000000 cliques
  109. Tue Jul 26 21:58:18 2022 commencing in-memory singleton removal
  110. Tue Jul 26 21:58:31 2022 begin with 122688761 relations and 113168009 unique ideals
  111. Tue Jul 26 21:59:47 2022 reduce to 122357706 relations and 107437749 ideals in 7 passes
  112. Tue Jul 26 21:59:47 2022 max relations containing the same ideal: 138
  113. Tue Jul 26 22:00:53 2022 removing 7392963 relations and 5392963 ideals in 2000000 cliques
  114. Tue Jul 26 22:00:57 2022 commencing in-memory singleton removal
  115. Tue Jul 26 22:01:09 2022 begin with 114964743 relations and 107437749 unique ideals
  116. Tue Jul 26 22:02:20 2022 reduce to 114611737 relations and 101686756 ideals in 7 passes
  117. Tue Jul 26 22:02:20 2022 max relations containing the same ideal: 134
  118. Tue Jul 26 22:03:22 2022 removing 7414966 relations and 5414966 ideals in 2000000 cliques
  119. Tue Jul 26 22:03:27 2022 commencing in-memory singleton removal
  120. Tue Jul 26 22:03:37 2022 begin with 107196771 relations and 101686756 unique ideals
  121. Tue Jul 26 22:04:53 2022 reduce to 106820624 relations and 95889888 ideals in 8 passes
  122. Tue Jul 26 22:04:53 2022 max relations containing the same ideal: 127
  123. Tue Jul 26 22:05:51 2022 removing 7456281 relations and 5456281 ideals in 2000000 cliques
  124. Tue Jul 26 22:05:55 2022 commencing in-memory singleton removal
  125. Tue Jul 26 22:06:05 2022 begin with 99364343 relations and 95889888 unique ideals
  126. Tue Jul 26 22:07:06 2022 reduce to 98958685 relations and 90021447 ideals in 7 passes
  127. Tue Jul 26 22:07:06 2022 max relations containing the same ideal: 121
  128. Tue Jul 26 22:08:00 2022 removing 7511150 relations and 5511150 ideals in 2000000 cliques
  129. Tue Jul 26 22:08:04 2022 commencing in-memory singleton removal
  130. Tue Jul 26 22:08:14 2022 begin with 91447535 relations and 90021447 unique ideals
  131. Tue Jul 26 22:09:10 2022 reduce to 91002013 relations and 84057078 ideals in 7 passes
  132. Tue Jul 26 22:09:10 2022 max relations containing the same ideal: 114
  133. Tue Jul 26 22:10:00 2022 removing 7590466 relations and 5590466 ideals in 2000000 cliques
  134. Tue Jul 26 22:10:03 2022 commencing in-memory singleton removal
  135. Tue Jul 26 22:10:12 2022 begin with 83411547 relations and 84057078 unique ideals
  136. Tue Jul 26 22:11:09 2022 reduce to 82912365 relations and 77958019 ideals in 8 passes
  137. Tue Jul 26 22:11:09 2022 max relations containing the same ideal: 107
  138. Tue Jul 26 22:11:56 2022 removing 7701505 relations and 5701505 ideals in 2000000 cliques
  139. Tue Jul 26 22:11:59 2022 commencing in-memory singleton removal
  140. Tue Jul 26 22:12:07 2022 begin with 75210860 relations and 77958019 unique ideals
  141. Tue Jul 26 22:12:58 2022 reduce to 74642429 relations and 71676423 ideals in 8 passes
  142. Tue Jul 26 22:12:58 2022 max relations containing the same ideal: 99
  143. Tue Jul 26 22:13:40 2022 removing 6460889 relations and 4887524 ideals in 1573365 cliques
  144. Tue Jul 26 22:13:43 2022 commencing in-memory singleton removal
  145. Tue Jul 26 22:13:50 2022 begin with 68181540 relations and 71676423 unique ideals
  146. Tue Jul 26 22:14:37 2022 reduce to 67737190 relations and 66336554 ideals in 8 passes
  147. Tue Jul 26 22:14:37 2022 max relations containing the same ideal: 92
  148. Tue Jul 26 22:15:23 2022 relations with 0 large ideals: 45745
  149. Tue Jul 26 22:15:23 2022 relations with 1 large ideals: 14783
  150. Tue Jul 26 22:15:23 2022 relations with 2 large ideals: 197162
  151. Tue Jul 26 22:15:23 2022 relations with 3 large ideals: 1376882
  152. Tue Jul 26 22:15:23 2022 relations with 4 large ideals: 5277811
  153. Tue Jul 26 22:15:23 2022 relations with 5 large ideals: 12143528
  154. Tue Jul 26 22:15:23 2022 relations with 6 large ideals: 17597182
  155. Tue Jul 26 22:15:23 2022 relations with 7+ large ideals: 31084097
  156. Tue Jul 26 22:15:23 2022 commencing 2-way merge
  157. Tue Jul 26 22:16:18 2022 reduce to 42794100 relation sets and 41393464 unique ideals
  158. Tue Jul 26 22:16:18 2022 commencing full merge
  159. Tue Jul 26 22:54:59 2022 memory use: 1918.5 MB
  160. Tue Jul 26 22:54:59 2022 found 128530 cycles, need 9196252
  161. Tue Jul 26 22:54:59 2022 too few cycles, matrix probably cannot build
  162. Tue Jul 26 22:55:00 2022 filtering wants 1000000 more relations
  163. Tue Jul 26 22:55:00 2022 elapsed time 03:31:57
  164. Wed Jul 27 04:56:45 2022
  165. Wed Jul 27 04:56:45 2022
  166. Wed Jul 27 04:56:45 2022 Msieve v. 1.54 (SVN 1044)
  167. Wed Jul 27 04:56:45 2022 random seeds: d5be74a5 8039cf7d
  168. Wed Jul 27 04:56:45 2022 factoring 47940673072437922579316499036808886917303880395238883229370628681522442640511912752880623100214549339392329234378137244735199339209552179343331130401596800142483284535014438655663103434626799676112750331479036460253086552650629357368146817 (239 digits)
  169. Wed Jul 27 04:56:46 2022 searching for 15-digit factors
  170. Wed Jul 27 04:56:46 2022 commencing number field sieve (239-digit input)
  171. Wed Jul 27 04:56:46 2022 R0: 78551672112789411833022577315290546060373041
  172. Wed Jul 27 04:56:46 2022 R1: -348449143727040986586495598010130648530944
  173. Wed Jul 27 04:56:46 2022 A0: 8
  174. Wed Jul 27 04:56:46 2022 A1: 0
  175. Wed Jul 27 04:56:46 2022 A2: 0
  176. Wed Jul 27 04:56:46 2022 A3: 0
  177. Wed Jul 27 04:56:46 2022 A4: 0
  178. Wed Jul 27 04:56:46 2022 A5: 0
  179. Wed Jul 27 04:56:46 2022 A6: 9
  180. Wed Jul 27 04:56:46 2022 skew 0.98, size 4.215e-13, alpha 1.337, combined = 6.137e-14 rroots = 0
  181. Wed Jul 27 04:56:46 2022
  182. Wed Jul 27 04:56:46 2022 commencing relation filtering
  183. Wed Jul 27 04:56:46 2022 setting target matrix density to 120.0
  184. Wed Jul 27 04:56:46 2022 estimated available RAM is 31808.8 MB
  185. Wed Jul 27 04:56:46 2022 commencing duplicate removal, pass 1
  186. Wed Jul 27 05:32:35 2022 error -11 reading relation 339700732
  187. Wed Jul 27 05:35:40 2022 skipped 1648 relations with b > 2^32
  188. Wed Jul 27 05:35:40 2022 found 28224754 hash collisions in 368059474 relations
  189. Wed Jul 27 05:35:49 2022 commencing duplicate removal, pass 2
  190. Wed Jul 27 05:37:58 2022 found 0 duplicates and 368059474 unique relations
  191. Wed Jul 27 05:37:58 2022 memory use: 1321.5 MB
  192. Wed Jul 27 05:37:58 2022 reading ideals above 200736768
  193. Wed Jul 27 05:37:58 2022 commencing singleton removal, initial pass
  194. Wed Jul 27 06:07:27 2022 memory use: 6024.0 MB
  195. Wed Jul 27 06:07:28 2022 reading all ideals from disk
  196. Wed Jul 27 06:07:37 2022 memory use: 6975.4 MB
  197. Wed Jul 27 06:07:57 2022 commencing in-memory singleton removal
  198. Wed Jul 27 06:08:16 2022 begin with 368059474 relations and 319618712 unique ideals
  199. Wed Jul 27 06:11:33 2022 reduce to 237096257 relations and 175189516 ideals in 14 passes
  200. Wed Jul 27 06:11:33 2022 max relations containing the same ideal: 36
  201. Wed Jul 27 06:11:48 2022 reading ideals above 720000
  202. Wed Jul 27 06:11:48 2022 commencing singleton removal, initial pass
  203. Wed Jul 27 06:39:03 2022 memory use: 5512.0 MB
  204. Wed Jul 27 06:39:04 2022 reading all ideals from disk
  205. Wed Jul 27 06:39:19 2022 memory use: 9939.2 MB
  206. Wed Jul 27 06:39:53 2022 keeping 196223681 ideals with weight <= 200, target excess is 1200552
  207. Wed Jul 27 06:40:28 2022 commencing in-memory singleton removal
  208. Wed Jul 27 06:40:54 2022 begin with 237096257 relations and 196223681 unique ideals
  209. Wed Jul 27 06:43:26 2022 reduce to 237096065 relations and 196223489 ideals in 7 passes
  210. Wed Jul 27 06:43:26 2022 max relations containing the same ideal: 200
  211. Wed Jul 27 06:45:31 2022 removing 13579353 relations and 11579353 ideals in 2000000 cliques
  212. Wed Jul 27 06:45:39 2022 commencing in-memory singleton removal
  213. Wed Jul 27 06:46:03 2022 begin with 223516712 relations and 196223489 unique ideals
  214. Wed Jul 27 06:48:50 2022 reduce to 222910559 relations and 184031012 ideals in 8 passes
  215. Wed Jul 27 06:48:50 2022 max relations containing the same ideal: 199
  216. Wed Jul 27 06:50:47 2022 removing 10215187 relations and 8215187 ideals in 2000000 cliques
  217. Wed Jul 27 06:50:54 2022 commencing in-memory singleton removal
  218. Wed Jul 27 06:51:17 2022 begin with 212695372 relations and 184031012 unique ideals
  219. Wed Jul 27 06:53:35 2022 reduce to 212312669 relations and 175429424 ideals in 7 passes
  220. Wed Jul 27 06:53:35 2022 max relations containing the same ideal: 195
  221. Wed Jul 27 06:55:28 2022 removing 9166287 relations and 7166287 ideals in 2000000 cliques
  222. Wed Jul 27 06:55:34 2022 commencing in-memory singleton removal
  223. Wed Jul 27 06:55:56 2022 begin with 203146382 relations and 175429424 unique ideals
  224. Wed Jul 27 06:58:26 2022 reduce to 202817376 relations and 167930951 ideals in 8 passes
  225. Wed Jul 27 06:58:26 2022 max relations containing the same ideal: 191
  226. Wed Jul 27 07:00:13 2022 removing 8594189 relations and 6594189 ideals in 2000000 cliques
  227. Wed Jul 27 07:00:19 2022 commencing in-memory singleton removal
  228. Wed Jul 27 07:00:40 2022 begin with 194223187 relations and 167930951 unique ideals
  229. Wed Jul 27 07:02:45 2022 reduce to 193920253 relations and 161030918 ideals in 7 passes
  230. Wed Jul 27 07:02:45 2022 max relations containing the same ideal: 187
  231. Wed Jul 27 07:04:27 2022 removing 8228055 relations and 6228055 ideals in 2000000 cliques
  232. Wed Jul 27 07:04:34 2022 commencing in-memory singleton removal
  233. Wed Jul 27 07:04:53 2022 begin with 185692198 relations and 161030918 unique ideals
  234. Wed Jul 27 07:06:52 2022 reduce to 185403520 relations and 154511360 ideals in 7 passes
  235. Wed Jul 27 07:06:52 2022 max relations containing the same ideal: 183
  236. Wed Jul 27 07:08:31 2022 removing 7970993 relations and 5970993 ideals in 2000000 cliques
  237. Wed Jul 27 07:08:37 2022 commencing in-memory singleton removal
  238. Wed Jul 27 07:08:55 2022 begin with 177432527 relations and 154511360 unique ideals
  239. Wed Jul 27 07:10:49 2022 reduce to 177150392 relations and 148255410 ideals in 7 passes
  240. Wed Jul 27 07:10:49 2022 max relations containing the same ideal: 179
  241. Wed Jul 27 07:12:23 2022 removing 7787760 relations and 5787760 ideals in 2000000 cliques
  242. Wed Jul 27 07:12:29 2022 commencing in-memory singleton removal
  243. Wed Jul 27 07:12:47 2022 begin with 169362632 relations and 148255410 unique ideals
  244. Wed Jul 27 07:14:34 2022 reduce to 169082905 relations and 142184958 ideals in 7 passes
  245. Wed Jul 27 07:14:34 2022 max relations containing the same ideal: 176
  246. Wed Jul 27 07:16:04 2022 removing 7651812 relations and 5651812 ideals in 2000000 cliques
  247. Wed Jul 27 07:16:10 2022 commencing in-memory singleton removal
  248. Wed Jul 27 07:16:27 2022 begin with 161431093 relations and 142184958 unique ideals
  249. Wed Jul 27 07:18:09 2022 reduce to 161149329 relations and 136248303 ideals in 7 passes
  250. Wed Jul 27 07:18:09 2022 max relations containing the same ideal: 169
  251. Wed Jul 27 07:19:34 2022 removing 7552675 relations and 5552675 ideals in 2000000 cliques
  252. Wed Jul 27 07:19:40 2022 commencing in-memory singleton removal
  253. Wed Jul 27 07:19:56 2022 begin with 153596654 relations and 136248303 unique ideals
  254. Wed Jul 27 07:21:33 2022 reduce to 153311018 relations and 130406832 ideals in 7 passes
  255. Wed Jul 27 07:21:33 2022 max relations containing the same ideal: 160
  256. Wed Jul 27 07:22:54 2022 removing 7483069 relations and 5483069 ideals in 2000000 cliques
  257. Wed Jul 27 07:23:00 2022 commencing in-memory singleton removal
  258. Wed Jul 27 07:23:15 2022 begin with 145827949 relations and 130406832 unique ideals
  259. Wed Jul 27 07:24:47 2022 reduce to 145535171 relations and 124627612 ideals in 7 passes
  260. Wed Jul 27 07:24:47 2022 max relations containing the same ideal: 154
  261. Wed Jul 27 07:26:04 2022 removing 7431466 relations and 5431466 ideals in 2000000 cliques
  262. Wed Jul 27 07:26:09 2022 commencing in-memory singleton removal
  263. Wed Jul 27 07:26:24 2022 begin with 138103705 relations and 124627612 unique ideals
  264. Wed Jul 27 07:28:03 2022 reduce to 137800532 relations and 118889227 ideals in 8 passes
  265. Wed Jul 27 07:28:03 2022 max relations containing the same ideal: 152
  266. Wed Jul 27 07:29:17 2022 removing 7400986 relations and 5400986 ideals in 2000000 cliques
  267. Wed Jul 27 07:29:22 2022 commencing in-memory singleton removal
  268. Wed Jul 27 07:29:35 2022 begin with 130399546 relations and 118889227 unique ideals
  269. Wed Jul 27 07:30:57 2022 reduce to 130083324 relations and 113168009 ideals in 7 passes
  270. Wed Jul 27 07:30:57 2022 max relations containing the same ideal: 148
  271. Wed Jul 27 07:32:08 2022 removing 7394563 relations and 5394563 ideals in 2000000 cliques
  272. Wed Jul 27 07:32:12 2022 commencing in-memory singleton removal
  273. Wed Jul 27 07:32:25 2022 begin with 122688761 relations and 113168009 unique ideals
  274. Wed Jul 27 07:33:42 2022 reduce to 122357706 relations and 107437749 ideals in 7 passes
  275. Wed Jul 27 07:33:42 2022 max relations containing the same ideal: 138
  276. Wed Jul 27 07:34:50 2022 removing 7392963 relations and 5392963 ideals in 2000000 cliques
  277. Wed Jul 27 07:34:54 2022 commencing in-memory singleton removal
  278. Wed Jul 27 07:35:06 2022 begin with 114964743 relations and 107437749 unique ideals
  279. Wed Jul 27 07:36:18 2022 reduce to 114611737 relations and 101686756 ideals in 7 passes
  280. Wed Jul 27 07:36:18 2022 max relations containing the same ideal: 134
  281. Wed Jul 27 07:37:22 2022 removing 7414966 relations and 5414966 ideals in 2000000 cliques
  282. Wed Jul 27 07:37:26 2022 commencing in-memory singleton removal
  283. Wed Jul 27 07:37:37 2022 begin with 107196771 relations and 101686756 unique ideals
  284. Wed Jul 27 07:38:53 2022 reduce to 106820624 relations and 95889888 ideals in 8 passes
  285. Wed Jul 27 07:38:53 2022 max relations containing the same ideal: 127
  286. Wed Jul 27 07:39:52 2022 removing 7456281 relations and 5456281 ideals in 2000000 cliques
  287. Wed Jul 27 07:39:56 2022 commencing in-memory singleton removal
  288. Wed Jul 27 07:40:06 2022 begin with 99364343 relations and 95889888 unique ideals
  289. Wed Jul 27 07:41:08 2022 reduce to 98958685 relations and 90021447 ideals in 7 passes
  290. Wed Jul 27 07:41:08 2022 max relations containing the same ideal: 121
  291. Wed Jul 27 07:42:03 2022 removing 7511150 relations and 5511150 ideals in 2000000 cliques
  292. Wed Jul 27 07:42:07 2022 commencing in-memory singleton removal
  293. Wed Jul 27 07:42:16 2022 begin with 91447535 relations and 90021447 unique ideals
  294. Wed Jul 27 07:43:13 2022 reduce to 91002013 relations and 84057078 ideals in 7 passes
  295. Wed Jul 27 07:43:13 2022 max relations containing the same ideal: 114
  296. Wed Jul 27 07:44:04 2022 removing 7590466 relations and 5590466 ideals in 2000000 cliques
  297. Wed Jul 27 07:44:08 2022 commencing in-memory singleton removal
  298. Wed Jul 27 07:44:16 2022 begin with 83411547 relations and 84057078 unique ideals
  299. Wed Jul 27 07:45:14 2022 reduce to 82912365 relations and 77958019 ideals in 8 passes
  300. Wed Jul 27 07:45:14 2022 max relations containing the same ideal: 107
  301. Wed Jul 27 07:46:01 2022 removing 7701505 relations and 5701505 ideals in 2000000 cliques
  302. Wed Jul 27 07:46:05 2022 commencing in-memory singleton removal
  303. Wed Jul 27 07:46:12 2022 begin with 75210860 relations and 77958019 unique ideals
  304. Wed Jul 27 07:47:05 2022 reduce to 74642429 relations and 71676423 ideals in 8 passes
  305. Wed Jul 27 07:47:05 2022 max relations containing the same ideal: 99
  306. Wed Jul 27 07:47:47 2022 removing 6460889 relations and 4887524 ideals in 1573365 cliques
  307. Wed Jul 27 07:47:51 2022 commencing in-memory singleton removal
  308. Wed Jul 27 07:47:57 2022 begin with 68181540 relations and 71676423 unique ideals
  309. Wed Jul 27 07:48:44 2022 reduce to 67737190 relations and 66336554 ideals in 8 passes
  310. Wed Jul 27 07:48:44 2022 max relations containing the same ideal: 92
  311. Wed Jul 27 07:49:32 2022 relations with 0 large ideals: 45745
  312. Wed Jul 27 07:49:32 2022 relations with 1 large ideals: 14783
  313. Wed Jul 27 07:49:32 2022 relations with 2 large ideals: 197162
  314. Wed Jul 27 07:49:32 2022 relations with 3 large ideals: 1376882
  315. Wed Jul 27 07:49:32 2022 relations with 4 large ideals: 5277811
  316. Wed Jul 27 07:49:32 2022 relations with 5 large ideals: 12143528
  317. Wed Jul 27 07:49:32 2022 relations with 6 large ideals: 17597182
  318. Wed Jul 27 07:49:32 2022 relations with 7+ large ideals: 31084097
  319. Wed Jul 27 07:49:32 2022 commencing 2-way merge
  320. Wed Jul 27 07:50:27 2022 reduce to 42794100 relation sets and 41393464 unique ideals
  321. Wed Jul 27 07:50:27 2022 commencing full merge
  322. Wed Jul 27 08:09:31 2022 memory use: 5582.2 MB
  323. Wed Jul 27 08:09:35 2022 found 19165768 cycles, need 19133664
  324. Wed Jul 27 08:09:42 2022 weight of 19133664 cycles is about 2296423430 (120.02/cycle)
  325. Wed Jul 27 08:09:42 2022 distribution of cycle lengths:
  326. Wed Jul 27 08:09:42 2022 1 relations: 1297132
  327. Wed Jul 27 08:09:42 2022 2 relations: 1341072
  328. Wed Jul 27 08:09:42 2022 3 relations: 1367335
  329. Wed Jul 27 08:09:42 2022 4 relations: 1337617
  330. Wed Jul 27 08:09:42 2022 5 relations: 1336280
  331. Wed Jul 27 08:09:42 2022 6 relations: 1298627
  332. Wed Jul 27 08:09:42 2022 7 relations: 1271652
  333. Wed Jul 27 08:09:42 2022 8 relations: 1213717
  334. Wed Jul 27 08:09:42 2022 9 relations: 1150541
  335. Wed Jul 27 08:09:42 2022 10+ relations: 7519691
  336. Wed Jul 27 08:09:42 2022 heaviest cycle: 28 relations
  337. Wed Jul 27 08:09:49 2022 commencing cycle optimization
  338. Wed Jul 27 08:10:30 2022 start with 166875740 relations
  339. Wed Jul 27 08:17:17 2022 pruned 7280447 relations
  340. Wed Jul 27 08:17:17 2022 memory use: 4492.7 MB
  341. Wed Jul 27 08:17:18 2022 distribution of cycle lengths:
  342. Wed Jul 27 08:17:18 2022 1 relations: 1297132
  343. Wed Jul 27 08:17:18 2022 2 relations: 1371471
  344. Wed Jul 27 08:17:18 2022 3 relations: 1419389
  345. Wed Jul 27 08:17:18 2022 4 relations: 1388613
  346. Wed Jul 27 08:17:18 2022 5 relations: 1395356
  347. Wed Jul 27 08:17:18 2022 6 relations: 1356104
  348. Wed Jul 27 08:17:18 2022 7 relations: 1332079
  349. Wed Jul 27 08:17:18 2022 8 relations: 1268120
  350. Wed Jul 27 08:17:18 2022 9 relations: 1201921
  351. Wed Jul 27 08:17:18 2022 10+ relations: 7103479
  352. Wed Jul 27 08:17:18 2022 heaviest cycle: 28 relations
  353. Wed Jul 27 08:18:12 2022 RelProcTime: 12086
  354. Wed Jul 27 08:18:12 2022 elapsed time 03:21:27
  355. Wed Jul 27 11:21:58 2022
  356. Wed Jul 27 11:21:58 2022
  357. Wed Jul 27 11:21:58 2022 Msieve v. 1.54 (SVN 1044)
  358. Wed Jul 27 11:21:58 2022 random seeds: 54904b74 04ca9138
  359. Wed Jul 27 11:21:58 2022 factoring 47940673072437922579316499036808886917303880395238883229370628681522442640511912752880623100214549339392329234378137244735199339209552179343331130401596800142483284535014438655663103434626799676112750331479036460253086552650629357368146817 (239 digits)
  360. Wed Jul 27 11:21:59 2022 searching for 15-digit factors
  361. Wed Jul 27 11:21:59 2022 commencing number field sieve (239-digit input)
  362. Wed Jul 27 11:21:59 2022 R0: 78551672112789411833022577315290546060373041
  363. Wed Jul 27 11:21:59 2022 R1: -348449143727040986586495598010130648530944
  364. Wed Jul 27 11:21:59 2022 A0: 8
  365. Wed Jul 27 11:21:59 2022 A1: 0
  366. Wed Jul 27 11:21:59 2022 A2: 0
  367. Wed Jul 27 11:21:59 2022 A3: 0
  368. Wed Jul 27 11:21:59 2022 A4: 0
  369. Wed Jul 27 11:21:59 2022 A5: 0
  370. Wed Jul 27 11:21:59 2022 A6: 9
  371. Wed Jul 27 11:21:59 2022 skew 0.98, size 4.215e-13, alpha 1.337, combined = 6.137e-14 rroots = 0
  372. Wed Jul 27 11:21:59 2022
  373. Wed Jul 27 11:21:59 2022 commencing linear algebra
  374. Wed Jul 27 11:22:01 2022 read 19133664 cycles
  375. Wed Jul 27 11:22:48 2022 cycles contain 66822633 unique relations
  376. Wed Jul 27 11:27:18 2022 read 66822633 relations
  377. Wed Jul 27 11:30:02 2022 using 20 quadratic characters above 4294917295
  378. Wed Jul 27 11:34:48 2022 building initial matrix
  379. Wed Jul 27 11:47:46 2022 memory use: 8309.4 MB
  380. Wed Jul 27 11:47:56 2022 read 19133664 cycles
  381. Wed Jul 27 11:47:59 2022 matrix is 19133487 x 19133664 (8990.1 MB) with weight 2567594052 (134.19/col)
  382. Wed Jul 27 11:47:59 2022 sparse part has weight 2146221361 (112.17/col)
  383. Wed Jul 27 11:52:24 2022 filtering completed in 2 passes
  384. Wed Jul 27 11:52:28 2022 matrix is 19133150 x 19133327 (8990.0 MB) with weight 2567582697 (134.19/col)
  385. Wed Jul 27 11:52:28 2022 sparse part has weight 2146217446 (112.17/col)
  386. Wed Jul 27 11:54:59 2022 matrix starts at (0, 0)
  387. Wed Jul 27 11:55:02 2022 matrix is 19133150 x 19133327 (8990.0 MB) with weight 2567582697 (134.19/col)
  388. Wed Jul 27 11:55:02 2022 sparse part has weight 2146217446 (112.17/col)
  389. Wed Jul 27 11:55:02 2022 saving the first 48 matrix rows for later
  390. Wed Jul 27 11:55:04 2022 matrix includes 64 packed rows
  391. Wed Jul 27 11:55:07 2022 matrix is 19133102 x 19133327 (8659.9 MB) with weight 2220201089 (116.04/col)
  392. Wed Jul 27 11:55:07 2022 sparse part has weight 2078817668 (108.65/col)
  393. Wed Jul 27 11:55:07 2022 using block size 8192 and superblock size 1892352 for processor cache size 19712 kB
  394. Wed Jul 27 11:56:03 2022 commencing Lanczos iteration (12 threads)
  395. Wed Jul 27 11:56:03 2022 memory use: 8385.5 MB
  396. Wed Jul 27 11:57:25 2022 linear algebra at 0.0%, ETA 269h34m
  397. Wed Jul 27 11:57:43 2022 checkpointing every 80000 dimensions
  398. Thu Aug 4 03:37:16 2022 lanczos halted after 302572 iterations (dim = 19133102)
  399. Thu Aug 4 03:37:30 2022 recovered 38 nontrivial dependencies
  400. Thu Aug 4 03:37:31 2022 BLanczosTime: 663332
  401. Thu Aug 4 03:37:31 2022 elapsed time 184:15:33
  402. Thu Aug 4 05:32:36 2022
  403. Thu Aug 4 05:32:36 2022
  404. Thu Aug 4 05:32:36 2022 Msieve v. 1.54 (SVN 1044)
  405. Thu Aug 4 05:32:36 2022 random seeds: 55d6fbf6 8fa06f90
  406. Thu Aug 4 05:32:36 2022 factoring 47940673072437922579316499036808886917303880395238883229370628681522442640511912752880623100214549339392329234378137244735199339209552179343331130401596800142483284535014438655663103434626799676112750331479036460253086552650629357368146817 (239 digits)
  407. Thu Aug 4 05:32:37 2022 searching for 15-digit factors
  408. Thu Aug 4 05:32:37 2022 commencing number field sieve (239-digit input)
  409. Thu Aug 4 05:32:37 2022 R0: 78551672112789411833022577315290546060373041
  410. Thu Aug 4 05:32:37 2022 R1: -348449143727040986586495598010130648530944
  411. Thu Aug 4 05:32:37 2022 A0: 8
  412. Thu Aug 4 05:32:37 2022 A1: 0
  413. Thu Aug 4 05:32:37 2022 A2: 0
  414. Thu Aug 4 05:32:37 2022 A3: 0
  415. Thu Aug 4 05:32:37 2022 A4: 0
  416. Thu Aug 4 05:32:37 2022 A5: 0
  417. Thu Aug 4 05:32:37 2022 A6: 9
  418. Thu Aug 4 05:32:37 2022 skew 0.98, size 4.215e-13, alpha 1.337, combined = 6.137e-14 rroots = 0
  419. Thu Aug 4 05:32:37 2022
  420. Thu Aug 4 05:32:37 2022 commencing square root phase
  421. Thu Aug 4 05:32:37 2022 reading relations for dependency 1
  422. Thu Aug 4 05:32:39 2022 read 9567258 cycles
  423. Thu Aug 4 05:32:58 2022 cycles contain 33411722 unique relations
  424. Thu Aug 4 05:35:27 2022 read 33411722 relations
  425. Thu Aug 4 05:38:17 2022 multiplying 33411722 relations
  426. Thu Aug 4 05:54:54 2022 multiply complete, coefficients have about 979.10 million bits
  427. Thu Aug 4 05:54:56 2022 initial square root is modulo 608159119
  428. Thu Aug 4 06:14:03 2022 GCD is N, no factor found
  429. Thu Aug 4 06:14:03 2022 reading relations for dependency 2
  430. Thu Aug 4 06:14:07 2022 read 9563877 cycles
  431. Thu Aug 4 06:14:27 2022 cycles contain 33400010 unique relations
  432. Thu Aug 4 06:16:59 2022 read 33400010 relations
  433. Thu Aug 4 06:19:49 2022 multiplying 33400010 relations
  434. Thu Aug 4 06:36:26 2022 multiply complete, coefficients have about 978.75 million bits
  435. Thu Aug 4 06:36:29 2022 initial square root is modulo 603763837
  436. Thu Aug 4 06:55:37 2022 GCD is N, no factor found
  437. Thu Aug 4 06:55:37 2022 reading relations for dependency 3
  438. Thu Aug 4 06:55:40 2022 read 9569479 cycles
  439. Thu Aug 4 06:56:00 2022 cycles contain 33417534 unique relations
  440. Thu Aug 4 06:58:34 2022 read 33417534 relations
  441. Thu Aug 4 07:01:24 2022 multiplying 33417534 relations
  442. Thu Aug 4 07:18:02 2022 multiply complete, coefficients have about 979.27 million bits
  443. Thu Aug 4 07:18:05 2022 initial square root is modulo 610303303
  444. Thu Aug 4 07:37:12 2022 sqrtTime: 7475
  445. Thu Aug 4 07:37:12 2022 p71 factor: 15049216317836517294600907995288190450795051840238103964985359740395657
  446. Thu Aug 4 07:37:12 2022 p169 factor: 3185592662098825967983265894144434557976409154116799172820853287730067001405617255022851142961676299096749391251725784426985066413710058020578188751280278848998017389881
  447. Thu Aug 4 07:37:12 2022 elapsed time 02:04:36
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