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Apr 11th, 2021
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  1. Fri Apr 9 08:44:47 2021
  2. Fri Apr 9 08:44:47 2021
  3. Fri Apr 9 08:44:47 2021 Msieve v. 1.54 (SVN 1040M)
  4. Fri Apr 9 08:44:47 2021 random seeds: b3dfbc32 08f37d00
  5. Fri Apr 9 08:44:47 2021 factoring 205550336668252213784444170186706437725640625364113139787575235449896267220092189689231736201180008172457416286049596826183383965235590083911708905860356094971911929517944044998002463462167616211642120719963 (207 digits)
  6. Fri Apr 9 08:44:48 2021 searching for 15-digit factors
  7. Fri Apr 9 08:44:48 2021 commencing number field sieve (207-digit input)
  8. Fri Apr 9 08:44:48 2021 R0: 4336808689942017736029811203479766845703125
  9. Fri Apr 9 08:44:48 2021 R1: -5316911983139663491615228241121378304
  10. Fri Apr 9 08:44:48 2021 A0: 4
  11. Fri Apr 9 08:44:48 2021 A1: 0
  12. Fri Apr 9 08:44:48 2021 A2: 0
  13. Fri Apr 9 08:44:48 2021 A3: 0
  14. Fri Apr 9 08:44:48 2021 A4: 0
  15. Fri Apr 9 08:44:48 2021 A5: 0
  16. Fri Apr 9 08:44:48 2021 A6: 5
  17. Fri Apr 9 08:44:48 2021 skew 0.96, size 1.287e-12, alpha 0.958, combined = 1.400e-13 rroots = 0
  18. Fri Apr 9 08:44:48 2021
  19. Fri Apr 9 08:44:48 2021 commencing relation filtering
  20. Fri Apr 9 08:44:48 2021 setting target matrix density to 130.0
  21. Fri Apr 9 08:44:48 2021 estimated available RAM is 32768.0 MB
  22. Fri Apr 9 08:44:48 2021 commencing duplicate removal, pass 1
  23. Fri Apr 9 08:49:48 2021 error -15 reading relation 47526172
  24. [1700 more error lines]
  25. Fri Apr 9 09:00:58 2021 error -5 reading relation 160105777
  26. Fri Apr 9 09:06:04 2021 skipped 777 relations with b > 2^32
  27. Fri Apr 9 09:06:04 2021 skipped 2 relations with composite factors
  28. Fri Apr 9 09:06:04 2021 found 9754732 hash collisions in 211429720 relations
  29. Fri Apr 9 09:06:14 2021 added 1218463 free relations
  30. Fri Apr 9 09:06:14 2021 commencing duplicate removal, pass 2
  31. Fri Apr 9 09:15:11 2021 found 1 duplicates and 212648182 unique relations
  32. Fri Apr 9 09:15:11 2021 memory use: 522.4 MB
  33. Fri Apr 9 09:15:11 2021 reading ideals above 159973376
  34. Fri Apr 9 09:15:11 2021 commencing singleton removal, initial pass
  35. Fri Apr 9 09:30:33 2021 memory use: 5512.0 MB
  36. Fri Apr 9 09:30:34 2021 reading all ideals from disk
  37. Fri Apr 9 09:32:04 2021 memory use: 3836.9 MB
  38. Fri Apr 9 09:32:12 2021 commencing in-memory singleton removal
  39. Fri Apr 9 09:32:20 2021 begin with 212648182 relations and 166921004 unique ideals
  40. Fri Apr 9 09:33:35 2021 reduce to 156718287 relations and 106586878 ideals in 13 passes
  41. Fri Apr 9 09:33:35 2021 max relations containing the same ideal: 47
  42. Fri Apr 9 09:33:53 2021 reading ideals above 720000
  43. Fri Apr 9 09:33:54 2021 commencing singleton removal, initial pass
  44. Fri Apr 9 09:49:06 2021 memory use: 3012.0 MB
  45. Fri Apr 9 09:49:06 2021 reading all ideals from disk
  46. Fri Apr 9 09:51:39 2021 memory use: 6443.4 MB
  47. Fri Apr 9 09:51:53 2021 keeping 123722254 ideals with weight <= 200, target excess is 808958
  48. Fri Apr 9 09:52:08 2021 commencing in-memory singleton removal
  49. Fri Apr 9 09:52:19 2021 begin with 156718287 relations and 123722254 unique ideals
  50. Fri Apr 9 09:53:21 2021 reduce to 156717401 relations and 123721368 ideals in 6 passes
  51. Fri Apr 9 09:53:21 2021 max relations containing the same ideal: 200
  52. Fri Apr 9 09:54:19 2021 removing 10014732 relations and 8014732 ideals in 2000000 cliques
  53. Fri Apr 9 09:54:24 2021 commencing in-memory singleton removal
  54. Fri Apr 9 09:54:35 2021 begin with 146702669 relations and 123721368 unique ideals
  55. Fri Apr 9 09:55:44 2021 reduce to 146179460 relations and 115174770 ideals in 7 passes
  56. Fri Apr 9 09:55:44 2021 max relations containing the same ideal: 199
  57. Fri Apr 9 09:56:38 2021 removing 7740691 relations and 5740691 ideals in 2000000 cliques
  58. Fri Apr 9 09:56:42 2021 commencing in-memory singleton removal
  59. Fri Apr 9 09:56:52 2021 begin with 138438769 relations and 115174770 unique ideals
  60. Fri Apr 9 09:57:48 2021 reduce to 138086584 relations and 109076828 ideals in 6 passes
  61. Fri Apr 9 09:57:48 2021 max relations containing the same ideal: 193
  62. Fri Apr 9 09:58:40 2021 removing 7073609 relations and 5073609 ideals in 2000000 cliques
  63. Fri Apr 9 09:58:44 2021 commencing in-memory singleton removal
  64. Fri Apr 9 09:58:54 2021 begin with 131012975 relations and 109076828 unique ideals
  65. Fri Apr 9 09:59:54 2021 reduce to 130704720 relations and 103690532 ideals in 7 passes
  66. Fri Apr 9 09:59:54 2021 max relations containing the same ideal: 186
  67. Fri Apr 9 10:00:43 2021 removing 6734555 relations and 4734555 ideals in 2000000 cliques
  68. Fri Apr 9 10:00:47 2021 commencing in-memory singleton removal
  69. Fri Apr 9 10:00:56 2021 begin with 123970165 relations and 103690532 unique ideals
  70. Fri Apr 9 10:01:53 2021 reduce to 123677887 relations and 98659646 ideals in 7 passes
  71. Fri Apr 9 10:01:53 2021 max relations containing the same ideal: 182
  72. Fri Apr 9 10:02:41 2021 removing 6534819 relations and 4534819 ideals in 2000000 cliques
  73. Fri Apr 9 10:02:45 2021 commencing in-memory singleton removal
  74. Fri Apr 9 10:02:53 2021 begin with 117143068 relations and 98659646 unique ideals
  75. Fri Apr 9 10:03:39 2021 reduce to 116859321 relations and 93836822 ideals in 6 passes
  76. Fri Apr 9 10:03:39 2021 max relations containing the same ideal: 176
  77. Fri Apr 9 10:04:24 2021 removing 6399322 relations and 4399322 ideals in 2000000 cliques
  78. Fri Apr 9 10:04:27 2021 commencing in-memory singleton removal
  79. Fri Apr 9 10:04:35 2021 begin with 110459999 relations and 93836822 unique ideals
  80. Fri Apr 9 10:05:18 2021 reduce to 110177285 relations and 89150269 ideals in 6 passes
  81. Fri Apr 9 10:05:18 2021 max relations containing the same ideal: 170
  82. Fri Apr 9 10:06:01 2021 removing 6316506 relations and 4316506 ideals in 2000000 cliques
  83. Fri Apr 9 10:06:04 2021 commencing in-memory singleton removal
  84. Fri Apr 9 10:06:12 2021 begin with 103860779 relations and 89150269 unique ideals
  85. Fri Apr 9 10:06:59 2021 reduce to 103573824 relations and 84542098 ideals in 7 passes
  86. Fri Apr 9 10:06:59 2021 max relations containing the same ideal: 164
  87. Fri Apr 9 10:07:39 2021 removing 6260168 relations and 4260168 ideals in 2000000 cliques
  88. Fri Apr 9 10:07:42 2021 commencing in-memory singleton removal
  89. Fri Apr 9 10:07:49 2021 begin with 97313656 relations and 84542098 unique ideals
  90. Fri Apr 9 10:08:32 2021 reduce to 97018814 relations and 79981952 ideals in 7 passes
  91. Fri Apr 9 10:08:32 2021 max relations containing the same ideal: 156
  92. Fri Apr 9 10:09:10 2021 removing 6233146 relations and 4233146 ideals in 2000000 cliques
  93. Fri Apr 9 10:09:13 2021 commencing in-memory singleton removal
  94. Fri Apr 9 10:09:20 2021 begin with 90785668 relations and 79981952 unique ideals
  95. Fri Apr 9 10:09:54 2021 reduce to 90477160 relations and 75434779 ideals in 6 passes
  96. Fri Apr 9 10:09:54 2021 max relations containing the same ideal: 151
  97. Fri Apr 9 10:10:29 2021 removing 6226439 relations and 4226439 ideals in 2000000 cliques
  98. Fri Apr 9 10:10:32 2021 commencing in-memory singleton removal
  99. Fri Apr 9 10:10:38 2021 begin with 84250721 relations and 75434779 unique ideals
  100. Fri Apr 9 10:11:15 2021 reduce to 83923881 relations and 70875127 ideals in 7 passes
  101. Fri Apr 9 10:11:15 2021 max relations containing the same ideal: 142
  102. Fri Apr 9 10:11:48 2021 removing 6235048 relations and 4235048 ideals in 2000000 cliques
  103. Fri Apr 9 10:11:51 2021 commencing in-memory singleton removal
  104. Fri Apr 9 10:11:56 2021 begin with 77688833 relations and 70875127 unique ideals
  105. Fri Apr 9 10:12:35 2021 reduce to 77338108 relations and 66281818 ideals in 8 passes
  106. Fri Apr 9 10:12:35 2021 max relations containing the same ideal: 133
  107. Fri Apr 9 10:13:06 2021 removing 6269479 relations and 4269479 ideals in 2000000 cliques
  108. Fri Apr 9 10:13:09 2021 commencing in-memory singleton removal
  109. Fri Apr 9 10:13:14 2021 begin with 71068629 relations and 66281818 unique ideals
  110. Fri Apr 9 10:13:45 2021 reduce to 70685548 relations and 61620604 ideals in 7 passes
  111. Fri Apr 9 10:13:45 2021 max relations containing the same ideal: 125
  112. Fri Apr 9 10:14:13 2021 removing 6322113 relations and 4322113 ideals in 2000000 cliques
  113. Fri Apr 9 10:14:16 2021 commencing in-memory singleton removal
  114. Fri Apr 9 10:14:20 2021 begin with 64363435 relations and 61620604 unique ideals
  115. Fri Apr 9 10:14:48 2021 reduce to 63936765 relations and 56861235 ideals in 7 passes
  116. Fri Apr 9 10:14:48 2021 max relations containing the same ideal: 116
  117. Fri Apr 9 10:15:14 2021 removing 6397959 relations and 4397959 ideals in 2000000 cliques
  118. Fri Apr 9 10:15:17 2021 commencing in-memory singleton removal
  119. Fri Apr 9 10:15:21 2021 begin with 57538806 relations and 56861235 unique ideals
  120. Fri Apr 9 10:15:45 2021 reduce to 57057152 relations and 51968819 ideals in 7 passes
  121. Fri Apr 9 10:15:45 2021 max relations containing the same ideal: 108
  122. Fri Apr 9 10:16:08 2021 removing 6496143 relations and 4496143 ideals in 2000000 cliques
  123. Fri Apr 9 10:16:11 2021 commencing in-memory singleton removal
  124. Fri Apr 9 10:16:14 2021 begin with 50561009 relations and 51968819 unique ideals
  125. Fri Apr 9 10:16:38 2021 reduce to 50003304 relations and 46898351 ideals in 8 passes
  126. Fri Apr 9 10:16:38 2021 max relations containing the same ideal: 99
  127. Fri Apr 9 10:16:59 2021 removing 6618668 relations and 4618668 ideals in 2000000 cliques
  128. Fri Apr 9 10:17:01 2021 commencing in-memory singleton removal
  129. Fri Apr 9 10:17:04 2021 begin with 43384636 relations and 46898351 unique ideals
  130. Fri Apr 9 10:17:24 2021 reduce to 42716867 relations and 41589093 ideals in 8 passes
  131. Fri Apr 9 10:17:24 2021 max relations containing the same ideal: 88
  132. Fri Apr 9 10:17:42 2021 removing 996393 relations and 807011 ideals in 189382 cliques
  133. Fri Apr 9 10:17:44 2021 commencing in-memory singleton removal
  134. Fri Apr 9 10:17:46 2021 begin with 41720474 relations and 41589093 unique ideals
  135. Fri Apr 9 10:18:04 2021 reduce to 41704421 relations and 40765965 ideals in 7 passes
  136. Fri Apr 9 10:18:04 2021 max relations containing the same ideal: 87
  137. Fri Apr 9 10:18:09 2021 relations with 0 large ideals: 28504
  138. Fri Apr 9 10:18:09 2021 relations with 1 large ideals: 7100
  139. Fri Apr 9 10:18:09 2021 relations with 2 large ideals: 102743
  140. Fri Apr 9 10:18:09 2021 relations with 3 large ideals: 750780
  141. Fri Apr 9 10:18:09 2021 relations with 4 large ideals: 2983640
  142. Fri Apr 9 10:18:09 2021 relations with 5 large ideals: 7119109
  143. Fri Apr 9 10:18:09 2021 relations with 6 large ideals: 10674096
  144. Fri Apr 9 10:18:09 2021 relations with 7+ large ideals: 20038449
  145. Fri Apr 9 10:18:09 2021 commencing 2-way merge
  146. Fri Apr 9 10:18:34 2021 reduce to 27749212 relation sets and 26810756 unique ideals
  147. Fri Apr 9 10:18:34 2021 commencing full merge
  148. Fri Apr 9 10:39:30 2021 memory use: 1242.1 MB
  149. Fri Apr 9 10:39:31 2021 found 48230 cycles, need 5890557
  150. Fri Apr 9 10:39:31 2021 too few cycles, matrix probably cannot build
  151. Fri Apr 9 10:39:31 2021 filtering wants 1000000 more relations
  152. Fri Apr 9 10:39:31 2021 elapsed time 01:54:44
  153. Fri Apr 9 11:36:47 2021
  154. Fri Apr 9 11:36:47 2021
  155. Fri Apr 9 11:36:47 2021 Msieve v. 1.54 (SVN 1040M)
  156. Fri Apr 9 11:36:47 2021 random seeds: 4b6e6d8a f1da8b45
  157. Fri Apr 9 11:36:47 2021 factoring 205550336668252213784444170186706437725640625364113139787575235449896267220092189689231736201180008172457416286049596826183383965235590083911708905860356094971911929517944044998002463462167616211642120719963 (207 digits)
  158. Fri Apr 9 11:36:47 2021 searching for 15-digit factors
  159. Fri Apr 9 11:36:48 2021 commencing number field sieve (207-digit input)
  160. Fri Apr 9 11:36:48 2021 R0: 4336808689942017736029811203479766845703125
  161. Fri Apr 9 11:36:48 2021 R1: -5316911983139663491615228241121378304
  162. Fri Apr 9 11:36:48 2021 A0: 4
  163. Fri Apr 9 11:36:48 2021 A1: 0
  164. Fri Apr 9 11:36:48 2021 A2: 0
  165. Fri Apr 9 11:36:48 2021 A3: 0
  166. Fri Apr 9 11:36:48 2021 A4: 0
  167. Fri Apr 9 11:36:48 2021 A5: 0
  168. Fri Apr 9 11:36:48 2021 A6: 5
  169. Fri Apr 9 11:36:48 2021 skew 0.96, size 1.287e-12, alpha 0.958, combined = 1.400e-13 rroots = 0
  170. Fri Apr 9 11:36:48 2021
  171. Fri Apr 9 11:36:48 2021 commencing relation filtering
  172. Fri Apr 9 11:36:48 2021 setting target matrix density to 124.0
  173. Fri Apr 9 11:36:48 2021 estimated available RAM is 32768.0 MB
  174. Fri Apr 9 11:36:48 2021 commencing duplicate removal, pass 1
  175. Fri Apr 9 11:41:28 2021 error -15 reading relation 47526172
  176. [1700 more error lines]
  177. Fri Apr 9 11:52:38 2021 error -5 reading relation 160105777
  178. Fri Apr 9 11:57:50 2021 skipped 781 relations with b > 2^32
  179. Fri Apr 9 11:57:50 2021 skipped 2 relations with composite factors
  180. Fri Apr 9 11:57:50 2021 found 9846017 hash collisions in 212444211 relations
  181. Fri Apr 9 11:58:00 2021 added 1218463 free relations
  182. Fri Apr 9 11:58:00 2021 commencing duplicate removal, pass 2
  183. Fri Apr 9 12:06:59 2021 found 1 duplicates and 213662673 unique relations
  184. Fri Apr 9 12:06:59 2021 memory use: 522.4 MB
  185. Fri Apr 9 12:06:59 2021 reading ideals above 159973376
  186. Fri Apr 9 12:06:59 2021 commencing singleton removal, initial pass
  187. Fri Apr 9 12:22:27 2021 memory use: 5512.0 MB
  188. Fri Apr 9 12:22:28 2021 reading all ideals from disk
  189. Fri Apr 9 12:24:00 2021 memory use: 3855.6 MB
  190. Fri Apr 9 12:24:08 2021 commencing in-memory singleton removal
  191. Fri Apr 9 12:24:15 2021 begin with 213662673 relations and 167130130 unique ideals
  192. Fri Apr 9 12:25:30 2021 reduce to 158093640 relations and 107226845 ideals in 13 passes
  193. Fri Apr 9 12:25:30 2021 max relations containing the same ideal: 47
  194. Fri Apr 9 12:25:49 2021 reading ideals above 720000
  195. Fri Apr 9 12:25:49 2021 commencing singleton removal, initial pass
  196. Fri Apr 9 12:41:09 2021 memory use: 3012.0 MB
  197. Fri Apr 9 12:41:09 2021 reading all ideals from disk
  198. Fri Apr 9 12:43:43 2021 memory use: 6500.2 MB
  199. Fri Apr 9 12:43:57 2021 keeping 124354875 ideals with weight <= 200, target excess is 816314
  200. Fri Apr 9 12:44:12 2021 commencing in-memory singleton removal
  201. Fri Apr 9 12:44:24 2021 begin with 158093640 relations and 124354875 unique ideals
  202. Fri Apr 9 12:45:27 2021 reduce to 158092844 relations and 124354079 ideals in 6 passes
  203. Fri Apr 9 12:45:27 2021 max relations containing the same ideal: 200
  204. Fri Apr 9 12:46:26 2021 removing 9950581 relations and 7950581 ideals in 2000000 cliques
  205. Fri Apr 9 12:46:31 2021 commencing in-memory singleton removal
  206. Fri Apr 9 12:46:42 2021 begin with 148142263 relations and 124354079 unique ideals
  207. Fri Apr 9 12:48:01 2021 reduce to 147630139 relations and 115882982 ideals in 8 passes
  208. Fri Apr 9 12:48:01 2021 max relations containing the same ideal: 199
  209. Fri Apr 9 12:48:56 2021 removing 7694829 relations and 5694829 ideals in 2000000 cliques
  210. Fri Apr 9 12:49:01 2021 commencing in-memory singleton removal
  211. Fri Apr 9 12:49:11 2021 begin with 139935310 relations and 115882982 unique ideals
  212. Fri Apr 9 12:50:07 2021 reduce to 139590563 relations and 109838490 ideals in 6 passes
  213. Fri Apr 9 12:50:07 2021 max relations containing the same ideal: 194
  214. Fri Apr 9 12:51:00 2021 removing 7033582 relations and 5033582 ideals in 2000000 cliques
  215. Fri Apr 9 12:51:04 2021 commencing in-memory singleton removal
  216. Fri Apr 9 12:51:14 2021 begin with 132556981 relations and 109838490 unique ideals
  217. Fri Apr 9 12:52:15 2021 reduce to 132254862 relations and 104498466 ideals in 7 passes
  218. Fri Apr 9 12:52:15 2021 max relations containing the same ideal: 189
  219. Fri Apr 9 12:53:05 2021 removing 6695178 relations and 4695178 ideals in 2000000 cliques
  220. Fri Apr 9 12:53:09 2021 commencing in-memory singleton removal
  221. Fri Apr 9 12:53:18 2021 begin with 125559684 relations and 104498466 unique ideals
  222. Fri Apr 9 12:54:16 2021 reduce to 125274483 relations and 99514117 ideals in 7 passes
  223. Fri Apr 9 12:54:16 2021 max relations containing the same ideal: 182
  224. Fri Apr 9 12:55:04 2021 removing 6497719 relations and 4497719 ideals in 2000000 cliques
  225. Fri Apr 9 12:55:08 2021 commencing in-memory singleton removal
  226. Fri Apr 9 12:55:16 2021 begin with 118776764 relations and 99514117 unique ideals
  227. Fri Apr 9 12:56:03 2021 reduce to 118499831 relations and 94735421 ideals in 6 passes
  228. Fri Apr 9 12:56:03 2021 max relations containing the same ideal: 177
  229. Fri Apr 9 12:56:49 2021 removing 6363976 relations and 4363976 ideals in 2000000 cliques
  230. Fri Apr 9 12:56:52 2021 commencing in-memory singleton removal
  231. Fri Apr 9 12:57:00 2021 begin with 112135855 relations and 94735421 unique ideals
  232. Fri Apr 9 12:57:44 2021 reduce to 111861028 relations and 90092251 ideals in 6 passes
  233. Fri Apr 9 12:57:44 2021 max relations containing the same ideal: 170
  234. Fri Apr 9 12:58:28 2021 removing 6277528 relations and 4277528 ideals in 2000000 cliques
  235. Fri Apr 9 12:58:31 2021 commencing in-memory singleton removal
  236. Fri Apr 9 12:58:38 2021 begin with 105583500 relations and 90092251 unique ideals
  237. Fri Apr 9 12:59:19 2021 reduce to 105305010 relations and 85531663 ideals in 6 passes
  238. Fri Apr 9 12:59:19 2021 max relations containing the same ideal: 164
  239. Fri Apr 9 13:00:01 2021 removing 6220366 relations and 4220366 ideals in 2000000 cliques
  240. Fri Apr 9 13:00:04 2021 commencing in-memory singleton removal
  241. Fri Apr 9 13:00:11 2021 begin with 99084644 relations and 85531663 unique ideals
  242. Fri Apr 9 13:00:55 2021 reduce to 98797946 relations and 81019722 ideals in 7 passes
  243. Fri Apr 9 13:00:55 2021 max relations containing the same ideal: 157
  244. Fri Apr 9 13:01:34 2021 removing 6190008 relations and 4190008 ideals in 2000000 cliques
  245. Fri Apr 9 13:01:38 2021 commencing in-memory singleton removal
  246. Fri Apr 9 13:01:44 2021 begin with 92607938 relations and 81019722 unique ideals
  247. Fri Apr 9 13:02:25 2021 reduce to 92309231 relations and 76525652 ideals in 7 passes
  248. Fri Apr 9 13:02:25 2021 max relations containing the same ideal: 151
  249. Fri Apr 9 13:03:01 2021 removing 6179950 relations and 4179950 ideals in 2000000 cliques
  250. Fri Apr 9 13:03:04 2021 commencing in-memory singleton removal
  251. Fri Apr 9 13:03:10 2021 begin with 86129281 relations and 76525652 unique ideals
  252. Fri Apr 9 13:03:49 2021 reduce to 85814264 relations and 72024670 ideals in 7 passes
  253. Fri Apr 9 13:03:49 2021 max relations containing the same ideal: 143
  254. Fri Apr 9 13:04:23 2021 removing 6186322 relations and 4186322 ideals in 2000000 cliques
  255. Fri Apr 9 13:04:26 2021 commencing in-memory singleton removal
  256. Fri Apr 9 13:04:31 2021 begin with 79627942 relations and 72024670 unique ideals
  257. Fri Apr 9 13:05:07 2021 reduce to 79289633 relations and 67492932 ideals in 7 passes
  258. Fri Apr 9 13:05:07 2021 max relations containing the same ideal: 134
  259. Fri Apr 9 13:05:38 2021 removing 6215830 relations and 4215830 ideals in 2000000 cliques
  260. Fri Apr 9 13:05:41 2021 commencing in-memory singleton removal
  261. Fri Apr 9 13:05:46 2021 begin with 73073803 relations and 67492932 unique ideals
  262. Fri Apr 9 13:06:14 2021 reduce to 72707212 relations and 62902421 ideals in 6 passes
  263. Fri Apr 9 13:06:14 2021 max relations containing the same ideal: 127
  264. Fri Apr 9 13:06:43 2021 removing 6263622 relations and 4263622 ideals in 2000000 cliques
  265. Fri Apr 9 13:06:46 2021 commencing in-memory singleton removal
  266. Fri Apr 9 13:06:50 2021 begin with 66443590 relations and 62902421 unique ideals
  267. Fri Apr 9 13:07:19 2021 reduce to 66037148 relations and 58222469 ideals in 7 passes
  268. Fri Apr 9 13:07:19 2021 max relations containing the same ideal: 118
  269. Fri Apr 9 13:07:46 2021 removing 6332436 relations and 4332436 ideals in 2000000 cliques
  270. Fri Apr 9 13:07:49 2021 commencing in-memory singleton removal
  271. Fri Apr 9 13:07:53 2021 begin with 59704712 relations and 58222469 unique ideals
  272. Fri Apr 9 13:08:22 2021 reduce to 59249599 relations and 53422986 ideals in 8 passes
  273. Fri Apr 9 13:08:22 2021 max relations containing the same ideal: 112
  274. Fri Apr 9 13:08:47 2021 removing 6422775 relations and 4422775 ideals in 2000000 cliques
  275. Fri Apr 9 13:08:49 2021 commencing in-memory singleton removal
  276. Fri Apr 9 13:08:53 2021 begin with 52826824 relations and 53422986 unique ideals
  277. Fri Apr 9 13:09:18 2021 reduce to 52302750 relations and 48461145 ideals in 8 passes
  278. Fri Apr 9 13:09:18 2021 max relations containing the same ideal: 102
  279. Fri Apr 9 13:09:40 2021 removing 6537201 relations and 4537201 ideals in 2000000 cliques
  280. Fri Apr 9 13:09:42 2021 commencing in-memory singleton removal
  281. Fri Apr 9 13:09:45 2021 begin with 45765549 relations and 48461145 unique ideals
  282. Fri Apr 9 13:10:07 2021 reduce to 45149100 relations and 43287533 ideals in 8 passes
  283. Fri Apr 9 13:10:07 2021 max relations containing the same ideal: 93
  284. Fri Apr 9 13:10:26 2021 removing 3575151 relations and 2660509 ideals in 914642 cliques
  285. Fri Apr 9 13:10:28 2021 commencing in-memory singleton removal
  286. Fri Apr 9 13:10:31 2021 begin with 41573949 relations and 43287533 unique ideals
  287. Fri Apr 9 13:10:48 2021 reduce to 41363478 relations and 40412789 ideals in 7 passes
  288. Fri Apr 9 13:10:48 2021 max relations containing the same ideal: 89
  289. Fri Apr 9 13:11:10 2021 relations with 0 large ideals: 28767
  290. Fri Apr 9 13:11:10 2021 relations with 1 large ideals: 7265
  291. Fri Apr 9 13:11:10 2021 relations with 2 large ideals: 105267
  292. Fri Apr 9 13:11:10 2021 relations with 3 large ideals: 763731
  293. Fri Apr 9 13:11:10 2021 relations with 4 large ideals: 3014470
  294. Fri Apr 9 13:11:10 2021 relations with 5 large ideals: 7136252
  295. Fri Apr 9 13:11:10 2021 relations with 6 large ideals: 10616831
  296. Fri Apr 9 13:11:10 2021 relations with 7+ large ideals: 19690895
  297. Fri Apr 9 13:11:10 2021 commencing 2-way merge
  298. Fri Apr 9 13:11:35 2021 reduce to 27568969 relation sets and 26618280 unique ideals
  299. Fri Apr 9 13:11:35 2021 commencing full merge
  300. Fri Apr 9 13:21:56 2021 memory use: 3735.8 MB
  301. Fri Apr 9 13:22:03 2021 found 12398441 cycles, need 12370480
  302. Fri Apr 9 13:22:03 2021 weight of 12370480 cycles is about 1534500919 (124.05/cycle)
  303. Fri Apr 9 13:22:03 2021 distribution of cycle lengths:
  304. Fri Apr 9 13:22:03 2021 1 relations: 557035
  305. Fri Apr 9 13:22:03 2021 2 relations: 756277
  306. Fri Apr 9 13:22:03 2021 3 relations: 857356
  307. Fri Apr 9 13:22:03 2021 4 relations: 874786
  308. Fri Apr 9 13:22:03 2021 5 relations: 883644
  309. Fri Apr 9 13:22:03 2021 6 relations: 877044
  310. Fri Apr 9 13:22:03 2021 7 relations: 859680
  311. Fri Apr 9 13:22:03 2021 8 relations: 828206
  312. Fri Apr 9 13:22:03 2021 9 relations: 782350
  313. Fri Apr 9 13:22:03 2021 10+ relations: 5094102
  314. Fri Apr 9 13:22:03 2021 heaviest cycle: 28 relations
  315. Fri Apr 9 13:22:09 2021 commencing cycle optimization
  316. Fri Apr 9 13:22:36 2021 start with 111702754 relations
  317. Fri Apr 9 13:27:16 2021 pruned 5629109 relations
  318. Fri Apr 9 13:27:16 2021 memory use: 2864.1 MB
  319. Fri Apr 9 13:27:16 2021 distribution of cycle lengths:
  320. Fri Apr 9 13:27:16 2021 1 relations: 557035
  321. Fri Apr 9 13:27:16 2021 2 relations: 775309
  322. Fri Apr 9 13:27:16 2021 3 relations: 894655
  323. Fri Apr 9 13:27:16 2021 4 relations: 913431
  324. Fri Apr 9 13:27:16 2021 5 relations: 931071
  325. Fri Apr 9 13:27:16 2021 6 relations: 923103
  326. Fri Apr 9 13:27:16 2021 7 relations: 908803
  327. Fri Apr 9 13:27:16 2021 8 relations: 873100
  328. Fri Apr 9 13:27:16 2021 9 relations: 824866
  329. Fri Apr 9 13:27:16 2021 10+ relations: 4769107
  330. Fri Apr 9 13:27:16 2021 heaviest cycle: 28 relations
  331. Fri Apr 9 13:27:55 2021 RelProcTime: 6667
  332. Fri Apr 9 13:27:55 2021
  333. Fri Apr 9 13:27:55 2021 commencing linear algebra
  334. Fri Apr 9 13:27:57 2021 read 12370480 cycles
  335. Fri Apr 9 13:28:23 2021 cycles contain 40856370 unique relations
  336. Fri Apr 9 13:37:34 2021 read 40856370 relations
  337. Fri Apr 9 13:39:11 2021 using 20 quadratic characters above 4294917295
  338. Fri Apr 9 13:41:38 2021 building initial matrix
  339. Fri Apr 9 13:48:53 2021 memory use: 5206.4 MB
  340. Fri Apr 9 13:51:22 2021 read 12370480 cycles
  341. Fri Apr 9 13:51:23 2021 matrix is 12370303 x 12370480 (5895.7 MB) with weight 1679223122 (135.74/col)
  342. Fri Apr 9 13:51:23 2021 sparse part has weight 1421817176 (114.94/col)
  343. Fri Apr 9 13:53:36 2021 filtering completed in 2 passes
  344. Fri Apr 9 13:53:38 2021 matrix is 12370181 x 12370358 (5895.7 MB) with weight 1679218737 (135.75/col)
  345. Fri Apr 9 13:53:38 2021 sparse part has weight 1421815319 (114.94/col)
  346. Fri Apr 9 13:56:28 2021 matrix starts at (0, 0)
  347. Fri Apr 9 13:56:29 2021 matrix is 12370181 x 12370358 (5895.7 MB) with weight 1679218737 (135.75/col)
  348. Fri Apr 9 13:56:29 2021 sparse part has weight 1421815319 (114.94/col)
  349. Fri Apr 9 13:56:29 2021 saving the first 48 matrix rows for later
  350. Fri Apr 9 13:56:31 2021 matrix includes 64 packed rows
  351. Fri Apr 9 13:56:32 2021 matrix is 12370133 x 12370358 (5673.7 MB) with weight 1453955796 (117.54/col)
  352. Fri Apr 9 13:56:32 2021 sparse part has weight 1363627075 (110.23/col)
  353. Fri Apr 9 13:56:32 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  354. Fri Apr 9 13:57:16 2021 commencing Lanczos iteration (16 threads)
  355. Fri Apr 9 13:57:16 2021 memory use: 5455.8 MB
  356. Fri Apr 9 13:57:31 2021 linear algebra at 0.0%, ETA 31h39m
  357. Fri Apr 9 13:57:36 2021 checkpointing every 390000 dimensions
  358. Sat Apr 10 22:25:05 2021 lanczos halted after 195616 iterations (dim = 12370133)
  359. Sat Apr 10 22:25:13 2021 recovered 39 nontrivial dependencies
  360. Sat Apr 10 22:25:18 2021 BLanczosTime: 118643
  361. Sat Apr 10 22:25:18 2021
  362. Sat Apr 10 22:25:18 2021 commencing square root phase
  363. Sat Apr 10 22:25:18 2021 handling dependencies 1 to 64
  364. Sat Apr 10 22:25:18 2021 reading relations for dependency 1
  365. Sat Apr 10 22:25:29 2021 read 6185875 cycles
  366. Sat Apr 10 22:25:41 2021 cycles contain 20428684 unique relations
  367. Sat Apr 10 22:34:48 2021 read 20428684 relations
  368. Sat Apr 10 22:36:09 2021 multiplying 20428684 relations
  369. Sat Apr 10 22:47:35 2021 multiply complete, coefficients have about 579.51 million bits
  370. Sat Apr 10 22:47:36 2021 initial square root is modulo 158233
  371. Sat Apr 10 22:59:07 2021 GCD is 1, no factor found
  372. Sat Apr 10 22:59:07 2021 reading relations for dependency 2
  373. Sat Apr 10 22:59:20 2021 read 6184384 cycles
  374. Sat Apr 10 22:59:32 2021 cycles contain 20426420 unique relations
  375. Sat Apr 10 23:08:39 2021 read 20426420 relations
  376. Sat Apr 10 23:10:02 2021 multiplying 20426420 relations
  377. Sat Apr 10 23:21:36 2021 multiply complete, coefficients have about 579.43 million bits
  378. Sat Apr 10 23:21:37 2021 initial square root is modulo 157951
  379. Sat Apr 10 23:33:13 2021 GCD is N, no factor found
  380. Sat Apr 10 23:33:13 2021 reading relations for dependency 3
  381. Sat Apr 10 23:33:26 2021 read 6184477 cycles
  382. Sat Apr 10 23:33:38 2021 cycles contain 20429670 unique relations
  383. Sat Apr 10 23:42:46 2021 read 20429670 relations
  384. Sat Apr 10 23:44:11 2021 multiplying 20429670 relations
  385. Sat Apr 10 23:55:46 2021 multiply complete, coefficients have about 579.53 million bits
  386. Sat Apr 10 23:55:47 2021 initial square root is modulo 158233
  387. Sun Apr 11 00:07:20 2021 GCD is N, no factor found
  388. Sun Apr 11 00:07:20 2021 reading relations for dependency 4
  389. Sun Apr 11 00:07:33 2021 read 6182964 cycles
  390. Sun Apr 11 00:07:46 2021 cycles contain 20421422 unique relations
  391. Sun Apr 11 00:16:52 2021 read 20421422 relations
  392. Sun Apr 11 00:18:18 2021 multiplying 20421422 relations
  393. Sun Apr 11 00:29:55 2021 multiply complete, coefficients have about 579.30 million bits
  394. Sun Apr 11 00:29:56 2021 initial square root is modulo 157513
  395. Sun Apr 11 00:41:32 2021 sqrtTime: 8174
  396. Sun Apr 11 00:41:32 2021 p82 factor: 4742868738686077090058189821618954819892053024407909703490460726219926948901546229
  397. Sun Apr 11 00:41:32 2021 p125 factor: 43338820446714720352821148759337410377864699467512958515042499532364880535855433114779786994372075849368374538254901546616847
  398. Sun Apr 11 00:41:32 2021 elapsed time 37:04:45
  399.  
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