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  1. Fri Feb 12 07:18:20 2021
  2. Fri Feb 12 07:18:20 2021
  3. Fri Feb 12 07:18:20 2021 Msieve v. 1.53 (SVN 988M)
  4. Fri Feb 12 07:18:20 2021 random seeds: 0a749b82 9de51a18
  5. Fri Feb 12 07:18:20 2021 factoring 952947601423822615095606370784010958659757858526301238882770011632781957839124114296805070443263016233358654043171989629564519032686547756484000367168238016670047975077748331492715281591421980675489 (198 digits)
  6. Fri Feb 12 07:18:21 2021 searching for 15-digit factors
  7. Fri Feb 12 07:18:22 2021 commencing number field sieve (198-digit input)
  8. Fri Feb 12 07:18:22 2021 R0: -8727963568087712425891397479476727340041449
  9. Fri Feb 12 07:18:22 2021 R1: 35184372088832
  10. Fri Feb 12 07:18:22 2021 A0: 9
  11. Fri Feb 12 07:18:22 2021 A1: 0
  12. Fri Feb 12 07:18:22 2021 A2: 0
  13. Fri Feb 12 07:18:22 2021 A3: -6
  14. Fri Feb 12 07:18:22 2021 A4: 0
  15. Fri Feb 12 07:18:22 2021 A5: 0
  16. Fri Feb 12 07:18:22 2021 A6: 2
  17. Fri Feb 12 07:18:22 2021 skew 1.72, size 1.073e-12, alpha 1.185, combined = 1.226e-13 rroots = 0
  18. Fri Feb 12 07:18:22 2021
  19. Fri Feb 12 07:18:22 2021 commencing relation filtering
  20. Fri Feb 12 07:18:22 2021 setting target matrix density to 130.0
  21. Fri Feb 12 07:18:22 2021 estimated available RAM is 32768.0 MB
  22. Fri Feb 12 07:18:22 2021 commencing duplicate removal, pass 1
  23. Fri Feb 12 07:27:56 2021 error -15 reading relation 77230974
  24. Fri Feb 12 07:31:13 2021 error -15 reading relation 104258712
  25. Fri Feb 12 07:37:00 2021 error -15 reading relation 151939029
  26. Fri Feb 12 07:39:06 2021 error -15 reading relation 169196255
  27. Fri Feb 12 07:41:53 2021 error -15 reading relation 191565391
  28. Fri Feb 12 07:42:55 2021 error -15 reading relation 199544685
  29. Fri Feb 12 07:43:22 2021 error -5 reading relation 203022189
  30. Fri Feb 12 07:44:45 2021 skipped 413 relations with b > 2^32
  31. Fri Feb 12 07:44:45 2021 skipped 6 relations with composite factors
  32. Fri Feb 12 07:44:45 2021 found 9975192 hash collisions in 213865222 relations
  33. Fri Feb 12 07:44:58 2021 added 1218686 free relations
  34. Fri Feb 12 07:44:58 2021 commencing duplicate removal, pass 2
  35. Fri Feb 12 07:52:38 2021 found 0 duplicates and 215083908 unique relations
  36. Fri Feb 12 07:52:38 2021 memory use: 522.4 MB
  37. Fri Feb 12 07:52:38 2021 reading ideals above 169934848
  38. Fri Feb 12 07:52:38 2021 commencing singleton removal, initial pass
  39. Fri Feb 12 08:08:02 2021 memory use: 5512.0 MB
  40. Fri Feb 12 08:08:02 2021 reading all ideals from disk
  41. Fri Feb 12 08:09:34 2021 memory use: 3845.5 MB
  42. Fri Feb 12 08:09:42 2021 commencing in-memory singleton removal
  43. Fri Feb 12 08:09:50 2021 begin with 215083908 relations and 166783514 unique ideals
  44. Fri Feb 12 08:11:11 2021 reduce to 160224590 relations and 107710783 ideals in 11 passes
  45. Fri Feb 12 08:11:11 2021 max relations containing the same ideal: 48
  46. Fri Feb 12 08:11:30 2021 reading ideals above 720000
  47. Fri Feb 12 08:11:30 2021 commencing singleton removal, initial pass
  48. Fri Feb 12 08:27:28 2021 memory use: 3012.0 MB
  49. Fri Feb 12 08:27:28 2021 reading all ideals from disk
  50. Fri Feb 12 08:30:04 2021 memory use: 6597.7 MB
  51. Fri Feb 12 08:30:18 2021 keeping 125879826 ideals with weight <= 200, target excess is 827980
  52. Fri Feb 12 08:30:34 2021 commencing in-memory singleton removal
  53. Fri Feb 12 08:30:45 2021 begin with 160224590 relations and 125879826 unique ideals
  54. Fri Feb 12 08:32:02 2021 reduce to 160223567 relations and 125878803 ideals in 6 passes
  55. Fri Feb 12 08:32:02 2021 max relations containing the same ideal: 200
  56. Fri Feb 12 08:32:59 2021 removing 9942360 relations and 7942360 ideals in 2000000 cliques
  57. Fri Feb 12 08:33:03 2021 commencing in-memory singleton removal
  58. Fri Feb 12 08:33:14 2021 begin with 150281207 relations and 125878803 unique ideals
  59. Fri Feb 12 08:34:38 2021 reduce to 149773407 relations and 117420170 ideals in 7 passes
  60. Fri Feb 12 08:34:38 2021 max relations containing the same ideal: 198
  61. Fri Feb 12 08:35:32 2021 removing 7684564 relations and 5684564 ideals in 2000000 cliques
  62. Fri Feb 12 08:35:35 2021 commencing in-memory singleton removal
  63. Fri Feb 12 08:35:46 2021 begin with 142088843 relations and 117420170 unique ideals
  64. Fri Feb 12 08:37:15 2021 reduce to 141747331 relations and 111389140 ideals in 8 passes
  65. Fri Feb 12 08:37:15 2021 max relations containing the same ideal: 193
  66. Fri Feb 12 08:38:07 2021 removing 7022040 relations and 5022040 ideals in 2000000 cliques
  67. Fri Feb 12 08:38:10 2021 commencing in-memory singleton removal
  68. Fri Feb 12 08:38:19 2021 begin with 134725291 relations and 111389140 unique ideals
  69. Fri Feb 12 08:39:33 2021 reduce to 134425482 relations and 106063201 ideals in 7 passes
  70. Fri Feb 12 08:39:33 2021 max relations containing the same ideal: 189
  71. Fri Feb 12 08:40:22 2021 removing 6689100 relations and 4689100 ideals in 2000000 cliques
  72. Fri Feb 12 08:40:25 2021 commencing in-memory singleton removal
  73. Fri Feb 12 08:40:34 2021 begin with 127736382 relations and 106063201 unique ideals
  74. Fri Feb 12 08:41:34 2021 reduce to 127456821 relations and 101090555 ideals in 6 passes
  75. Fri Feb 12 08:41:34 2021 max relations containing the same ideal: 182
  76. Fri Feb 12 08:42:21 2021 removing 6484995 relations and 4484995 ideals in 2000000 cliques
  77. Fri Feb 12 08:42:24 2021 commencing in-memory singleton removal
  78. Fri Feb 12 08:42:32 2021 begin with 120971826 relations and 101090555 unique ideals
  79. Fri Feb 12 08:43:30 2021 reduce to 120700828 relations and 96330546 ideals in 6 passes
  80. Fri Feb 12 08:43:30 2021 max relations containing the same ideal: 180
  81. Fri Feb 12 08:44:14 2021 removing 6348992 relations and 4348992 ideals in 2000000 cliques
  82. Fri Feb 12 08:44:17 2021 commencing in-memory singleton removal
  83. Fri Feb 12 08:44:25 2021 begin with 114351836 relations and 96330546 unique ideals
  84. Fri Feb 12 08:45:27 2021 reduce to 114082548 relations and 91708113 ideals in 7 passes
  85. Fri Feb 12 08:45:27 2021 max relations containing the same ideal: 173
  86. Fri Feb 12 08:46:09 2021 removing 6260693 relations and 4260693 ideals in 2000000 cliques
  87. Fri Feb 12 08:46:12 2021 commencing in-memory singleton removal
  88. Fri Feb 12 08:46:19 2021 begin with 107821855 relations and 91708113 unique ideals
  89. Fri Feb 12 08:47:18 2021 reduce to 107550423 relations and 87171638 ideals in 7 passes
  90. Fri Feb 12 08:47:18 2021 max relations containing the same ideal: 166
  91. Fri Feb 12 08:47:58 2021 removing 6200061 relations and 4200061 ideals in 2000000 cliques
  92. Fri Feb 12 08:48:00 2021 commencing in-memory singleton removal
  93. Fri Feb 12 08:48:07 2021 begin with 101350362 relations and 87171638 unique ideals
  94. Fri Feb 12 08:48:54 2021 reduce to 101070499 relations and 82687072 ideals in 6 passes
  95. Fri Feb 12 08:48:54 2021 max relations containing the same ideal: 158
  96. Fri Feb 12 08:49:31 2021 removing 6167128 relations and 4167128 ideals in 2000000 cliques
  97. Fri Feb 12 08:49:34 2021 commencing in-memory singleton removal
  98. Fri Feb 12 08:49:41 2021 begin with 94903371 relations and 82687072 unique ideals
  99. Fri Feb 12 08:50:31 2021 reduce to 94614320 relations and 78225695 ideals in 7 passes
  100. Fri Feb 12 08:50:31 2021 max relations containing the same ideal: 150
  101. Fri Feb 12 08:51:07 2021 removing 6153055 relations and 4153055 ideals in 2000000 cliques
  102. Fri Feb 12 08:51:09 2021 commencing in-memory singleton removal
  103. Fri Feb 12 08:51:15 2021 begin with 88461265 relations and 78225695 unique ideals
  104. Fri Feb 12 08:51:55 2021 reduce to 88157518 relations and 73763151 ideals in 6 passes
  105. Fri Feb 12 08:51:55 2021 max relations containing the same ideal: 143
  106. Fri Feb 12 08:52:29 2021 removing 6160059 relations and 4160059 ideals in 2000000 cliques
  107. Fri Feb 12 08:52:31 2021 commencing in-memory singleton removal
  108. Fri Feb 12 08:52:37 2021 begin with 81997459 relations and 73763151 unique ideals
  109. Fri Feb 12 08:53:14 2021 reduce to 81674712 relations and 69273691 ideals in 6 passes
  110. Fri Feb 12 08:53:14 2021 max relations containing the same ideal: 136
  111. Fri Feb 12 08:53:45 2021 removing 6180917 relations and 4180917 ideals in 2000000 cliques
  112. Fri Feb 12 08:53:47 2021 commencing in-memory singleton removal
  113. Fri Feb 12 08:53:52 2021 begin with 75493795 relations and 69273691 unique ideals
  114. Fri Feb 12 08:54:26 2021 reduce to 75143348 relations and 64734608 ideals in 6 passes
  115. Fri Feb 12 08:54:26 2021 max relations containing the same ideal: 132
  116. Fri Feb 12 08:54:56 2021 removing 6219244 relations and 4219244 ideals in 2000000 cliques
  117. Fri Feb 12 08:54:58 2021 commencing in-memory singleton removal
  118. Fri Feb 12 08:55:03 2021 begin with 68924104 relations and 64734608 unique ideals
  119. Fri Feb 12 08:55:38 2021 reduce to 68539834 relations and 60122227 ideals in 7 passes
  120. Fri Feb 12 08:55:38 2021 max relations containing the same ideal: 121
  121. Fri Feb 12 08:56:05 2021 removing 6277324 relations and 4277324 ideals in 2000000 cliques
  122. Fri Feb 12 08:56:07 2021 commencing in-memory singleton removal
  123. Fri Feb 12 08:56:11 2021 begin with 62262510 relations and 60122227 unique ideals
  124. Fri Feb 12 08:56:47 2021 reduce to 61835571 relations and 55407166 ideals in 8 passes
  125. Fri Feb 12 08:56:47 2021 max relations containing the same ideal: 119
  126. Fri Feb 12 08:57:12 2021 removing 6356667 relations and 4356667 ideals in 2000000 cliques
  127. Fri Feb 12 08:57:14 2021 commencing in-memory singleton removal
  128. Fri Feb 12 08:57:17 2021 begin with 55478904 relations and 55407166 unique ideals
  129. Fri Feb 12 08:57:49 2021 reduce to 54992863 relations and 50550923 ideals in 8 passes
  130. Fri Feb 12 08:57:49 2021 max relations containing the same ideal: 108
  131. Fri Feb 12 08:58:11 2021 removing 6456104 relations and 4456104 ideals in 2000000 cliques
  132. Fri Feb 12 08:58:13 2021 commencing in-memory singleton removal
  133. Fri Feb 12 08:58:16 2021 begin with 48536759 relations and 50550923 unique ideals
  134. Fri Feb 12 08:58:47 2021 reduce to 47973499 relations and 45514072 ideals in 9 passes
  135. Fri Feb 12 08:58:47 2021 max relations containing the same ideal: 99
  136. Fri Feb 12 08:59:06 2021 removing 5205295 relations and 3706325 ideals in 1498970 cliques
  137. Fri Feb 12 08:59:08 2021 commencing in-memory singleton removal
  138. Fri Feb 12 08:59:10 2021 begin with 42768204 relations and 45514072 unique ideals
  139. Fri Feb 12 08:59:31 2021 reduce to 42343697 relations and 41371808 ideals in 7 passes
  140. Fri Feb 12 08:59:31 2021 max relations containing the same ideal: 89
  141. Fri Feb 12 08:59:48 2021 removing 83063 relations and 71631 ideals in 11432 cliques
  142. Fri Feb 12 08:59:49 2021 commencing in-memory singleton removal
  143. Fri Feb 12 08:59:52 2021 begin with 42260634 relations and 41371808 unique ideals
  144. Fri Feb 12 09:00:03 2021 reduce to 42260527 relations and 41300070 ideals in 4 passes
  145. Fri Feb 12 09:00:03 2021 max relations containing the same ideal: 89
  146. Fri Feb 12 09:00:10 2021 relations with 0 large ideals: 29137
  147. Fri Feb 12 09:00:10 2021 relations with 1 large ideals: 7425
  148. Fri Feb 12 09:00:10 2021 relations with 2 large ideals: 108611
  149. Fri Feb 12 09:00:10 2021 relations with 3 large ideals: 782306
  150. Fri Feb 12 09:00:10 2021 relations with 4 large ideals: 3086086
  151. Fri Feb 12 09:00:10 2021 relations with 5 large ideals: 7286204
  152. Fri Feb 12 09:00:10 2021 relations with 6 large ideals: 10825678
  153. Fri Feb 12 09:00:10 2021 relations with 7+ large ideals: 20135080
  154. Fri Feb 12 09:00:10 2021 commencing 2-way merge
  155. Fri Feb 12 09:00:34 2021 reduce to 28336584 relation sets and 27376127 unique ideals
  156. Fri Feb 12 09:00:34 2021 commencing full merge
  157. Fri Feb 12 09:22:14 2021 memory use: 1268.3 MB
  158. Fri Feb 12 09:22:14 2021 found 48978 cycles, need 6014180
  159. Fri Feb 12 09:22:14 2021 too few cycles, matrix probably cannot build
  160. Fri Feb 12 09:35:21 2021
  161. Fri Feb 12 09:35:21 2021
  162. Fri Feb 12 09:35:21 2021 Msieve v. 1.53 (SVN 988M)
  163. Fri Feb 12 09:35:21 2021 random seeds: a8a6740d 8f6068c9
  164. Fri Feb 12 09:35:21 2021 factoring 952947601423822615095606370784010958659757858526301238882770011632781957839124114296805070443263016233358654043171989629564519032686547756484000367168238016670047975077748331492715281591421980675489 (198 digits)
  165. Fri Feb 12 09:35:22 2021 searching for 15-digit factors
  166. Fri Feb 12 09:35:23 2021 commencing number field sieve (198-digit input)
  167. Fri Feb 12 09:35:23 2021 R0: -8727963568087712425891397479476727340041449
  168. Fri Feb 12 09:35:23 2021 R1: 35184372088832
  169. Fri Feb 12 09:35:23 2021 A0: 9
  170. Fri Feb 12 09:35:23 2021 A1: 0
  171. Fri Feb 12 09:35:23 2021 A2: 0
  172. Fri Feb 12 09:35:23 2021 A3: -6
  173. Fri Feb 12 09:35:23 2021 A4: 0
  174. Fri Feb 12 09:35:23 2021 A5: 0
  175. Fri Feb 12 09:35:23 2021 A6: 2
  176. Fri Feb 12 09:35:23 2021 skew 1.72, size 1.073e-12, alpha 1.185, combined = 1.226e-13 rroots = 0
  177. Fri Feb 12 09:35:23 2021
  178. Fri Feb 12 09:35:23 2021 commencing relation filtering
  179. Fri Feb 12 09:35:23 2021 setting target matrix density to 124.0
  180. Fri Feb 12 09:35:23 2021 estimated available RAM is 32768.0 MB
  181. Fri Feb 12 09:35:23 2021 commencing duplicate removal, pass 1
  182. Fri Feb 12 09:43:01 2021 error -15 reading relation 77230974
  183. Fri Feb 12 09:45:42 2021 error -15 reading relation 104258712
  184. Fri Feb 12 09:50:23 2021 error -15 reading relation 151939029
  185. Fri Feb 12 09:52:05 2021 error -15 reading relation 169196255
  186. Fri Feb 12 09:54:17 2021 error -15 reading relation 191565391
  187. Fri Feb 12 09:55:04 2021 error -15 reading relation 199544685
  188. Fri Feb 12 09:55:24 2021 error -5 reading relation 203022189
  189. Fri Feb 12 09:56:41 2021 skipped 413 relations with b > 2^32
  190. Fri Feb 12 09:56:41 2021 skipped 6 relations with composite factors
  191. Fri Feb 12 09:56:41 2021 found 10084935 hash collisions in 215083908 relations
  192. Fri Feb 12 09:56:50 2021 commencing duplicate removal, pass 2
  193. Fri Feb 12 09:57:39 2021 found 0 duplicates and 215083908 unique relations
  194. Fri Feb 12 09:57:39 2021 memory use: 756.8 MB
  195. Fri Feb 12 09:57:39 2021 reading ideals above 169934848
  196. Fri Feb 12 09:57:39 2021 commencing singleton removal, initial pass
  197. Fri Feb 12 10:13:11 2021 memory use: 5512.0 MB
  198. Fri Feb 12 10:13:11 2021 reading all ideals from disk
  199. Fri Feb 12 10:14:42 2021 memory use: 3845.5 MB
  200. Fri Feb 12 10:14:50 2021 commencing in-memory singleton removal
  201. Fri Feb 12 10:14:57 2021 begin with 215083908 relations and 166783514 unique ideals
  202. Fri Feb 12 10:16:19 2021 reduce to 160224590 relations and 107710783 ideals in 11 passes
  203. Fri Feb 12 10:16:19 2021 max relations containing the same ideal: 48
  204. Fri Feb 12 10:16:38 2021 reading ideals above 720000
  205. Fri Feb 12 10:16:38 2021 commencing singleton removal, initial pass
  206. Fri Feb 12 10:32:41 2021 memory use: 3012.0 MB
  207. Fri Feb 12 10:32:41 2021 reading all ideals from disk
  208. Fri Feb 12 10:35:17 2021 memory use: 6597.7 MB
  209. Fri Feb 12 10:35:31 2021 keeping 125879826 ideals with weight <= 200, target excess is 827980
  210. Fri Feb 12 10:35:46 2021 commencing in-memory singleton removal
  211. Fri Feb 12 10:35:57 2021 begin with 160224590 relations and 125879826 unique ideals
  212. Fri Feb 12 10:37:10 2021 reduce to 160223567 relations and 125878803 ideals in 6 passes
  213. Fri Feb 12 10:37:10 2021 max relations containing the same ideal: 200
  214. Fri Feb 12 10:38:06 2021 removing 9942360 relations and 7942360 ideals in 2000000 cliques
  215. Fri Feb 12 10:38:09 2021 commencing in-memory singleton removal
  216. Fri Feb 12 10:38:20 2021 begin with 150281207 relations and 125878803 unique ideals
  217. Fri Feb 12 10:39:39 2021 reduce to 149773407 relations and 117420170 ideals in 7 passes
  218. Fri Feb 12 10:39:39 2021 max relations containing the same ideal: 198
  219. Fri Feb 12 10:40:32 2021 removing 7684564 relations and 5684564 ideals in 2000000 cliques
  220. Fri Feb 12 10:40:35 2021 commencing in-memory singleton removal
  221. Fri Feb 12 10:40:45 2021 begin with 142088843 relations and 117420170 unique ideals
  222. Fri Feb 12 10:42:12 2021 reduce to 141747331 relations and 111389140 ideals in 8 passes
  223. Fri Feb 12 10:42:12 2021 max relations containing the same ideal: 193
  224. Fri Feb 12 10:43:04 2021 removing 7022040 relations and 5022040 ideals in 2000000 cliques
  225. Fri Feb 12 10:43:07 2021 commencing in-memory singleton removal
  226. Fri Feb 12 10:43:16 2021 begin with 134725291 relations and 111389140 unique ideals
  227. Fri Feb 12 10:44:26 2021 reduce to 134425482 relations and 106063201 ideals in 7 passes
  228. Fri Feb 12 10:44:26 2021 max relations containing the same ideal: 189
  229. Fri Feb 12 10:45:14 2021 removing 6689100 relations and 4689100 ideals in 2000000 cliques
  230. Fri Feb 12 10:45:17 2021 commencing in-memory singleton removal
  231. Fri Feb 12 10:45:26 2021 begin with 127736382 relations and 106063201 unique ideals
  232. Fri Feb 12 10:46:23 2021 reduce to 127456821 relations and 101090555 ideals in 6 passes
  233. Fri Feb 12 10:46:23 2021 max relations containing the same ideal: 182
  234. Fri Feb 12 10:47:09 2021 removing 6484995 relations and 4484995 ideals in 2000000 cliques
  235. Fri Feb 12 10:47:12 2021 commencing in-memory singleton removal
  236. Fri Feb 12 10:47:20 2021 begin with 120971826 relations and 101090555 unique ideals
  237. Fri Feb 12 10:48:14 2021 reduce to 120700828 relations and 96330546 ideals in 6 passes
  238. Fri Feb 12 10:48:14 2021 max relations containing the same ideal: 180
  239. Fri Feb 12 10:48:58 2021 removing 6348992 relations and 4348992 ideals in 2000000 cliques
  240. Fri Feb 12 10:49:00 2021 commencing in-memory singleton removal
  241. Fri Feb 12 10:49:08 2021 begin with 114351836 relations and 96330546 unique ideals
  242. Fri Feb 12 10:50:07 2021 reduce to 114082548 relations and 91708113 ideals in 7 passes
  243. Fri Feb 12 10:50:07 2021 max relations containing the same ideal: 173
  244. Fri Feb 12 10:50:48 2021 removing 6260693 relations and 4260693 ideals in 2000000 cliques
  245. Fri Feb 12 10:50:51 2021 commencing in-memory singleton removal
  246. Fri Feb 12 10:50:58 2021 begin with 107821855 relations and 91708113 unique ideals
  247. Fri Feb 12 10:51:54 2021 reduce to 107550423 relations and 87171638 ideals in 7 passes
  248. Fri Feb 12 10:51:54 2021 max relations containing the same ideal: 166
  249. Fri Feb 12 10:52:33 2021 removing 6200061 relations and 4200061 ideals in 2000000 cliques
  250. Fri Feb 12 10:52:36 2021 commencing in-memory singleton removal
  251. Fri Feb 12 10:52:42 2021 begin with 101350362 relations and 87171638 unique ideals
  252. Fri Feb 12 10:53:27 2021 reduce to 101070499 relations and 82687072 ideals in 6 passes
  253. Fri Feb 12 10:53:27 2021 max relations containing the same ideal: 158
  254. Fri Feb 12 10:54:04 2021 removing 6167128 relations and 4167128 ideals in 2000000 cliques
  255. Fri Feb 12 10:54:07 2021 commencing in-memory singleton removal
  256. Fri Feb 12 10:54:13 2021 begin with 94903371 relations and 82687072 unique ideals
  257. Fri Feb 12 10:55:01 2021 reduce to 94614320 relations and 78225695 ideals in 7 passes
  258. Fri Feb 12 10:55:01 2021 max relations containing the same ideal: 150
  259. Fri Feb 12 10:55:35 2021 removing 6153055 relations and 4153055 ideals in 2000000 cliques
  260. Fri Feb 12 10:55:38 2021 commencing in-memory singleton removal
  261. Fri Feb 12 10:55:44 2021 begin with 88461265 relations and 78225695 unique ideals
  262. Fri Feb 12 10:56:22 2021 reduce to 88157518 relations and 73763151 ideals in 6 passes
  263. Fri Feb 12 10:56:22 2021 max relations containing the same ideal: 143
  264. Fri Feb 12 10:56:55 2021 removing 6160059 relations and 4160059 ideals in 2000000 cliques
  265. Fri Feb 12 10:56:57 2021 commencing in-memory singleton removal
  266. Fri Feb 12 10:57:02 2021 begin with 81997459 relations and 73763151 unique ideals
  267. Fri Feb 12 10:57:37 2021 reduce to 81674712 relations and 69273691 ideals in 6 passes
  268. Fri Feb 12 10:57:37 2021 max relations containing the same ideal: 136
  269. Fri Feb 12 10:58:08 2021 removing 6180917 relations and 4180917 ideals in 2000000 cliques
  270. Fri Feb 12 10:58:10 2021 commencing in-memory singleton removal
  271. Fri Feb 12 10:58:15 2021 begin with 75493795 relations and 69273691 unique ideals
  272. Fri Feb 12 10:58:48 2021 reduce to 75143348 relations and 64734608 ideals in 6 passes
  273. Fri Feb 12 10:58:48 2021 max relations containing the same ideal: 132
  274. Fri Feb 12 10:59:16 2021 removing 6219244 relations and 4219244 ideals in 2000000 cliques
  275. Fri Feb 12 10:59:18 2021 commencing in-memory singleton removal
  276. Fri Feb 12 10:59:23 2021 begin with 68924104 relations and 64734608 unique ideals
  277. Fri Feb 12 10:59:57 2021 reduce to 68539834 relations and 60122227 ideals in 7 passes
  278. Fri Feb 12 10:59:57 2021 max relations containing the same ideal: 121
  279. Fri Feb 12 11:00:23 2021 removing 6277324 relations and 4277324 ideals in 2000000 cliques
  280. Fri Feb 12 11:00:25 2021 commencing in-memory singleton removal
  281. Fri Feb 12 11:00:29 2021 begin with 62262510 relations and 60122227 unique ideals
  282. Fri Feb 12 11:01:03 2021 reduce to 61835571 relations and 55407166 ideals in 8 passes
  283. Fri Feb 12 11:01:03 2021 max relations containing the same ideal: 119
  284. Fri Feb 12 11:01:27 2021 removing 6356667 relations and 4356667 ideals in 2000000 cliques
  285. Fri Feb 12 11:01:29 2021 commencing in-memory singleton removal
  286. Fri Feb 12 11:01:32 2021 begin with 55478904 relations and 55407166 unique ideals
  287. Fri Feb 12 11:02:03 2021 reduce to 54992863 relations and 50550923 ideals in 8 passes
  288. Fri Feb 12 11:02:03 2021 max relations containing the same ideal: 108
  289. Fri Feb 12 11:02:25 2021 removing 6456104 relations and 4456104 ideals in 2000000 cliques
  290. Fri Feb 12 11:02:27 2021 commencing in-memory singleton removal
  291. Fri Feb 12 11:02:30 2021 begin with 48536759 relations and 50550923 unique ideals
  292. Fri Feb 12 11:02:59 2021 reduce to 47973499 relations and 45514072 ideals in 9 passes
  293. Fri Feb 12 11:02:59 2021 max relations containing the same ideal: 99
  294. Fri Feb 12 11:03:18 2021 removing 5205295 relations and 3706325 ideals in 1498970 cliques
  295. Fri Feb 12 11:03:20 2021 commencing in-memory singleton removal
  296. Fri Feb 12 11:03:22 2021 begin with 42768204 relations and 45514072 unique ideals
  297. Fri Feb 12 11:03:43 2021 reduce to 42343697 relations and 41371808 ideals in 7 passes
  298. Fri Feb 12 11:03:43 2021 max relations containing the same ideal: 89
  299. Fri Feb 12 11:03:59 2021 removing 83063 relations and 71631 ideals in 11432 cliques
  300. Fri Feb 12 11:04:00 2021 commencing in-memory singleton removal
  301. Fri Feb 12 11:04:03 2021 begin with 42260634 relations and 41371808 unique ideals
  302. Fri Feb 12 11:04:14 2021 reduce to 42260527 relations and 41300070 ideals in 4 passes
  303. Fri Feb 12 11:04:14 2021 max relations containing the same ideal: 89
  304. Fri Feb 12 11:04:20 2021 relations with 0 large ideals: 29137
  305. Fri Feb 12 11:04:20 2021 relations with 1 large ideals: 7425
  306. Fri Feb 12 11:04:20 2021 relations with 2 large ideals: 108611
  307. Fri Feb 12 11:04:20 2021 relations with 3 large ideals: 782306
  308. Fri Feb 12 11:04:20 2021 relations with 4 large ideals: 3086086
  309. Fri Feb 12 11:04:20 2021 relations with 5 large ideals: 7286204
  310. Fri Feb 12 11:04:20 2021 relations with 6 large ideals: 10825678
  311. Fri Feb 12 11:04:20 2021 relations with 7+ large ideals: 20135080
  312. Fri Feb 12 11:04:20 2021 commencing 2-way merge
  313. Fri Feb 12 11:04:43 2021 reduce to 28336584 relation sets and 27376127 unique ideals
  314. Fri Feb 12 11:04:43 2021 commencing full merge
  315. Fri Feb 12 11:15:31 2021 memory use: 3818.0 MB
  316. Fri Feb 12 11:15:38 2021 found 12728645 cycles, need 12710327
  317. Fri Feb 12 11:15:38 2021 weight of 12710327 cycles is about 1576187968 (124.01/cycle)
  318. Fri Feb 12 11:15:38 2021 distribution of cycle lengths:
  319. Fri Feb 12 11:15:38 2021 1 relations: 549742
  320. Fri Feb 12 11:15:38 2021 2 relations: 772269
  321. Fri Feb 12 11:15:38 2021 3 relations: 880132
  322. Fri Feb 12 11:15:38 2021 4 relations: 907177
  323. Fri Feb 12 11:15:38 2021 5 relations: 917939
  324. Fri Feb 12 11:15:38 2021 6 relations: 912412
  325. Fri Feb 12 11:15:38 2021 7 relations: 892814
  326. Fri Feb 12 11:15:38 2021 8 relations: 857506
  327. Fri Feb 12 11:15:38 2021 9 relations: 809298
  328. Fri Feb 12 11:15:38 2021 10+ relations: 5211038
  329. Fri Feb 12 11:15:38 2021 heaviest cycle: 28 relations
  330. Fri Feb 12 11:15:44 2021 commencing cycle optimization
  331. Fri Feb 12 11:16:12 2021 start with 114878511 relations
  332. Fri Feb 12 11:21:14 2021 pruned 5856709 relations
  333. Fri Feb 12 11:21:14 2021 memory use: 2936.1 MB
  334. Fri Feb 12 11:21:14 2021 distribution of cycle lengths:
  335. Fri Feb 12 11:21:14 2021 1 relations: 549742
  336. Fri Feb 12 11:21:14 2021 2 relations: 791645
  337. Fri Feb 12 11:21:14 2021 3 relations: 919738
  338. Fri Feb 12 11:21:14 2021 4 relations: 947935
  339. Fri Feb 12 11:21:14 2021 5 relations: 967994
  340. Fri Feb 12 11:21:14 2021 6 relations: 961567
  341. Fri Feb 12 11:21:14 2021 7 relations: 944877
  342. Fri Feb 12 11:21:14 2021 8 relations: 904745
  343. Fri Feb 12 11:21:14 2021 9 relations: 853030
  344. Fri Feb 12 11:21:14 2021 10+ relations: 4869054
  345. Fri Feb 12 11:21:14 2021 heaviest cycle: 28 relations
  346. Fri Feb 12 11:21:52 2021 RelProcTime: 6389
  347. Fri Feb 12 11:21:52 2021
  348. Fri Feb 12 11:21:52 2021 commencing linear algebra
  349. Fri Feb 12 11:21:55 2021 read 12710327 cycles
  350. Fri Feb 12 11:22:22 2021 cycles contain 41760867 unique relations
  351. Fri Feb 12 11:31:39 2021 read 41760867 relations
  352. Fri Feb 12 11:33:08 2021 using 20 quadratic characters above 4294917295
  353. Fri Feb 12 11:35:29 2021 building initial matrix
  354. Fri Feb 12 11:43:23 2021 memory use: 5573.1 MB
  355. Fri Feb 12 11:45:57 2021 read 12710327 cycles
  356. Fri Feb 12 11:45:58 2021 matrix is 12710150 x 12710327 (6105.2 MB) with weight 1749296346 (137.63/col)
  357. Fri Feb 12 11:45:58 2021 sparse part has weight 1460628980 (114.92/col)
  358. Fri Feb 12 11:48:16 2021 filtering completed in 2 passes
  359. Fri Feb 12 11:48:18 2021 matrix is 12710054 x 12710231 (6105.2 MB) with weight 1749293071 (137.63/col)
  360. Fri Feb 12 11:48:18 2021 sparse part has weight 1460627950 (114.92/col)
  361. Fri Feb 12 11:51:15 2021 matrix starts at (0, 0)
  362. Fri Feb 12 11:51:16 2021 matrix is 12710054 x 12710231 (6105.2 MB) with weight 1749293071 (137.63/col)
  363. Fri Feb 12 11:51:16 2021 sparse part has weight 1460627950 (114.92/col)
  364. Fri Feb 12 11:51:16 2021 saving the first 48 matrix rows for later
  365. Fri Feb 12 11:51:18 2021 matrix includes 64 packed rows
  366. Fri Feb 12 11:51:19 2021 matrix is 12710006 x 12710231 (5858.5 MB) with weight 1505912072 (118.48/col)
  367. Fri Feb 12 11:51:19 2021 sparse part has weight 1408663230 (110.83/col)
  368. Fri Feb 12 11:51:19 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  369. Fri Feb 12 11:52:29 2021 commencing Lanczos iteration (16 threads)
  370. Fri Feb 12 11:52:29 2021 memory use: 5030.8 MB
  371. Fri Feb 12 11:52:45 2021 linear algebra at 0.0%, ETA 34h50m
  372. Fri Feb 12 11:52:50 2021 checkpointing every 370000 dimensions
  373. Sat Feb 13 23:01:52 2021 lanczos halted after 201000 iterations (dim = 12710002)
  374. Sat Feb 13 23:02:03 2021 recovered 36 nontrivial dependencies
  375. Sat Feb 13 23:02:08 2021 BLanczosTime: 128416
  376. Sat Feb 13 23:02:08 2021
  377. Sat Feb 13 23:02:08 2021 commencing square root phase
  378. Sat Feb 13 23:02:08 2021 handling dependencies 1 to 64
  379. Sat Feb 13 23:02:08 2021 reading relations for dependency 1
  380. Sat Feb 13 23:02:19 2021 read 6356482 cycles
  381. Sat Feb 13 23:02:32 2021 cycles contain 20881928 unique relations
  382. Sat Feb 13 23:11:45 2021 read 20881928 relations
  383. Sat Feb 13 23:13:10 2021 multiplying 20881928 relations
  384. Sat Feb 13 23:25:23 2021 multiply complete, coefficients have about 569.97 million bits
  385. Sat Feb 13 23:25:25 2021 initial square root is modulo 129919
  386. Sat Feb 13 23:37:52 2021 GCD is 1, no factor found
  387. Sat Feb 13 23:37:52 2021 reading relations for dependency 2
  388. Sat Feb 13 23:38:06 2021 read 6356394 cycles
  389. Sat Feb 13 23:38:18 2021 cycles contain 20886340 unique relations
  390. Sat Feb 13 23:47:31 2021 read 20886340 relations
  391. Sat Feb 13 23:48:56 2021 multiplying 20886340 relations
  392. Sun Feb 14 00:01:23 2021 multiply complete, coefficients have about 570.08 million bits
  393. Sun Feb 14 00:01:24 2021 initial square root is modulo 130171
  394. Sun Feb 14 00:13:55 2021 sqrtTime: 4307
  395. Sun Feb 14 00:13:55 2021 p72 factor: 254654820883764896593943831178564781224544416692849771917112077288998797
  396. Sun Feb 14 00:13:55 2021 p127 factor: 3742114907217043137358564539897165009988537789950388740587774499337225054531632944729657464426403662330355693028651345866760037
  397. Sun Feb 14 00:13:55 2021 elapsed time 38:38:34
  398.  
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