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gchilders
Dec 23rd, 2021
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  1. Tue Dec 21 14:17:23 2021
  2. Tue Dec 21 14:17:23 2021
  3. Tue Dec 21 14:17:23 2021 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 21 14:17:23 2021 random seeds: dda79657 102e6e2e
  5. Tue Dec 21 14:17:23 2021 MPI process 0 of 1
  6. Tue Dec 21 14:17:23 2021 factoring 46021617283946641982063481451278764921547004715324534502595287532353196761450890234638844353837969186965291868281905916623601737229350348812207702023476836777953244663671183704721049867684965654462659802946267711711434774000791 (227 digits)
  7. Tue Dec 21 14:17:27 2021 no P-1/P+1/ECM available, skipping
  8. Tue Dec 21 14:17:27 2021 commencing number field sieve (227-digit input)
  9. Tue Dec 21 14:17:27 2021 R0: 100000000000000000000000000000000000000000000000000000000000
  10. Tue Dec 21 14:17:27 2021 R1: -72574551534231909331741171093173785967490646405143
  11. Tue Dec 21 14:17:27 2021 A0: 1
  12. Tue Dec 21 14:17:27 2021 A1: -1
  13. Tue Dec 21 14:17:27 2021 A2: 1
  14. Tue Dec 21 14:17:27 2021 A3: -1
  15. Tue Dec 21 14:17:27 2021 A4: 1
  16. Tue Dec 21 14:17:27 2021 skew 1.00, size 5.141e-24, alpha 1.694, combined = 2.608e-14 rroots = 0
  17. Tue Dec 21 14:17:27 2021
  18. Tue Dec 21 14:17:27 2021 commencing relation filtering
  19. Tue Dec 21 14:17:27 2021 setting target matrix density to 130.0
  20. Tue Dec 21 14:17:27 2021 estimated available RAM is 32620.8 MB
  21. Tue Dec 21 14:17:27 2021 commencing duplicate removal, pass 1
  22. Tue Dec 21 16:31:00 2021 skipped 11235 relations with b > 2^32
  23. Tue Dec 21 16:31:00 2021 skipped 68 relations with composite factors
  24. Tue Dec 21 16:31:00 2021 found 26866964 hash collisions in 358457227 relations
  25. Tue Dec 21 16:31:21 2021 added 3657741 free relations
  26. Tue Dec 21 16:31:21 2021 commencing duplicate removal, pass 2
  27. Tue Dec 21 16:35:56 2021 found 0 duplicates and 362114968 unique relations
  28. Tue Dec 21 16:35:56 2021 memory use: 1257.5 MB
  29. Tue Dec 21 16:35:56 2021 reading ideals above 220004352
  30. Tue Dec 21 16:35:56 2021 commencing singleton removal, initial pass
  31. Tue Dec 21 18:17:21 2021 memory use: 6024.0 MB
  32. Tue Dec 21 18:17:21 2021 reading all ideals from disk
  33. Tue Dec 21 18:17:26 2021 memory use: 6733.1 MB
  34. Tue Dec 21 18:20:44 2021 commencing in-memory singleton removal
  35. Tue Dec 21 18:23:29 2021 begin with 362114968 relations and 306986304 unique ideals
  36. Tue Dec 21 18:53:01 2021 reduce to 234978563 relations and 166723096 ideals in 15 passes
  37. Tue Dec 21 18:53:01 2021 max relations containing the same ideal: 34
  38. Tue Dec 21 18:55:28 2021 reading ideals above 720000
  39. Tue Dec 21 18:55:28 2021 commencing singleton removal, initial pass
  40. Tue Dec 21 20:20:40 2021 memory use: 5512.0 MB
  41. Tue Dec 21 20:20:40 2021 reading all ideals from disk
  42. Tue Dec 21 20:20:47 2021 memory use: 9765.3 MB
  43. Tue Dec 21 20:25:25 2021 keeping 189776436 ideals with weight <= 200, target excess is 1191858
  44. Tue Dec 21 20:30:14 2021 commencing in-memory singleton removal
  45. Tue Dec 21 20:33:55 2021 begin with 234978563 relations and 189776436 unique ideals
  46. Tue Dec 21 20:52:24 2021 reduce to 234977189 relations and 189775058 ideals in 5 passes
  47. Tue Dec 21 20:52:24 2021 max relations containing the same ideal: 200
  48. Tue Dec 21 21:09:21 2021 removing 12922304 relations and 10922304 ideals in 2000000 cliques
  49. Tue Dec 21 21:09:32 2021 commencing in-memory singleton removal
  50. Tue Dec 21 21:13:11 2021 begin with 222054885 relations and 189775058 unique ideals
  51. Tue Dec 21 21:45:20 2021 reduce to 221494425 relations and 178285634 ideals in 9 passes
  52. Tue Dec 21 21:45:20 2021 max relations containing the same ideal: 200
  53. Tue Dec 21 22:00:52 2021 removing 9742585 relations and 7742585 ideals in 2000000 cliques
  54. Tue Dec 21 22:01:03 2021 commencing in-memory singleton removal
  55. Tue Dec 21 22:04:35 2021 begin with 211751840 relations and 178285634 unique ideals
  56. Tue Dec 21 22:31:40 2021 reduce to 211395789 relations and 170183408 ideals in 8 passes
  57. Tue Dec 21 22:31:40 2021 max relations containing the same ideal: 195
  58. Tue Dec 21 22:46:31 2021 removing 8742579 relations and 6742579 ideals in 2000000 cliques
  59. Tue Dec 21 22:46:41 2021 commencing in-memory singleton removal
  60. Tue Dec 21 22:50:03 2021 begin with 202653210 relations and 170183408 unique ideals
  61. Tue Dec 21 23:13:52 2021 reduce to 202349727 relations and 163134373 ideals in 7 passes
  62. Tue Dec 21 23:13:52 2021 max relations containing the same ideal: 192
  63. Tue Dec 21 23:27:56 2021 removing 8197991 relations and 6197991 ideals in 2000000 cliques
  64. Tue Dec 21 23:28:06 2021 commencing in-memory singleton removal
  65. Tue Dec 21 23:31:20 2021 begin with 194151736 relations and 163134373 unique ideals
  66. Tue Dec 21 23:54:13 2021 reduce to 193872538 relations and 156654458 ideals in 7 passes
  67. Tue Dec 21 23:54:13 2021 max relations containing the same ideal: 187
  68. Wed Dec 22 00:07:33 2021 removing 7842997 relations and 5842997 ideals in 2000000 cliques
  69. Wed Dec 22 00:07:43 2021 commencing in-memory singleton removal
  70. Wed Dec 22 00:10:31 2021 begin with 186029541 relations and 156654458 unique ideals
  71. Wed Dec 22 00:30:23 2021 reduce to 185764063 relations and 150543306 ideals in 7 passes
  72. Wed Dec 22 00:30:23 2021 max relations containing the same ideal: 183
  73. Wed Dec 22 00:43:15 2021 removing 7595835 relations and 5595835 ideals in 2000000 cliques
  74. Wed Dec 22 00:43:24 2021 commencing in-memory singleton removal
  75. Wed Dec 22 00:46:03 2021 begin with 178168228 relations and 150543306 unique ideals
  76. Wed Dec 22 01:04:49 2021 reduce to 177909710 relations and 144686290 ideals in 7 passes
  77. Wed Dec 22 01:04:49 2021 max relations containing the same ideal: 177
  78. Wed Dec 22 01:16:43 2021 removing 7413712 relations and 5413712 ideals in 2000000 cliques
  79. Wed Dec 22 01:16:52 2021 commencing in-memory singleton removal
  80. Wed Dec 22 01:19:22 2021 begin with 170495998 relations and 144686290 unique ideals
  81. Wed Dec 22 01:37:17 2021 reduce to 170241165 relations and 139015064 ideals in 7 passes
  82. Wed Dec 22 01:37:17 2021 max relations containing the same ideal: 173
  83. Wed Dec 22 01:48:33 2021 removing 7277813 relations and 5277813 ideals in 2000000 cliques
  84. Wed Dec 22 01:48:41 2021 commencing in-memory singleton removal
  85. Wed Dec 22 01:51:04 2021 begin with 162963352 relations and 139015064 unique ideals
  86. Wed Dec 22 02:10:40 2021 reduce to 162709254 relations and 133480355 ideals in 8 passes
  87. Wed Dec 22 02:10:40 2021 max relations containing the same ideal: 169
  88. Wed Dec 22 02:21:11 2021 removing 7168455 relations and 5168455 ideals in 2000000 cliques
  89. Wed Dec 22 02:21:19 2021 commencing in-memory singleton removal
  90. Wed Dec 22 02:23:33 2021 begin with 155540799 relations and 133480355 unique ideals
  91. Wed Dec 22 02:39:31 2021 reduce to 155285632 relations and 128053846 ideals in 7 passes
  92. Wed Dec 22 02:39:31 2021 max relations containing the same ideal: 163
  93. Wed Dec 22 02:49:44 2021 removing 7093631 relations and 5093631 ideals in 2000000 cliques
  94. Wed Dec 22 02:49:51 2021 commencing in-memory singleton removal
  95. Wed Dec 22 02:51:58 2021 begin with 148192001 relations and 128053846 unique ideals
  96. Wed Dec 22 03:04:55 2021 reduce to 147932191 relations and 122697412 ideals in 6 passes
  97. Wed Dec 22 03:04:55 2021 max relations containing the same ideal: 157
  98. Wed Dec 22 03:14:32 2021 removing 7032739 relations and 5032739 ideals in 2000000 cliques
  99. Wed Dec 22 03:14:40 2021 commencing in-memory singleton removal
  100. Wed Dec 22 03:16:41 2021 begin with 140899452 relations and 122697412 unique ideals
  101. Wed Dec 22 03:31:00 2021 reduce to 140632871 relations and 117394825 ideals in 7 passes
  102. Wed Dec 22 03:31:00 2021 max relations containing the same ideal: 152
  103. Wed Dec 22 03:40:07 2021 removing 6993512 relations and 4993513 ideals in 2000000 cliques
  104. Wed Dec 22 03:40:15 2021 commencing in-memory singleton removal
  105. Wed Dec 22 03:42:06 2021 begin with 133639359 relations and 117394825 unique ideals
  106. Wed Dec 22 03:55:19 2021 reduce to 133365382 relations and 112123714 ideals in 7 passes
  107. Wed Dec 22 03:55:19 2021 max relations containing the same ideal: 149
  108. Wed Dec 22 04:03:53 2021 removing 6967751 relations and 4967751 ideals in 2000000 cliques
  109. Wed Dec 22 04:04:00 2021 commencing in-memory singleton removal
  110. Wed Dec 22 04:05:46 2021 begin with 126397631 relations and 112123714 unique ideals
  111. Wed Dec 22 04:16:41 2021 reduce to 126111804 relations and 106866228 ideals in 6 passes
  112. Wed Dec 22 04:16:41 2021 max relations containing the same ideal: 144
  113. Wed Dec 22 04:24:56 2021 removing 6951238 relations and 4951238 ideals in 2000000 cliques
  114. Wed Dec 22 04:25:03 2021 commencing in-memory singleton removal
  115. Wed Dec 22 04:26:42 2021 begin with 119160566 relations and 106866228 unique ideals
  116. Wed Dec 22 04:38:33 2021 reduce to 118862879 relations and 101613039 ideals in 7 passes
  117. Wed Dec 22 04:38:33 2021 max relations containing the same ideal: 139
  118. Wed Dec 22 04:46:18 2021 removing 6952468 relations and 4952468 ideals in 2000000 cliques
  119. Wed Dec 22 04:46:25 2021 commencing in-memory singleton removal
  120. Wed Dec 22 04:47:58 2021 begin with 111910411 relations and 101613039 unique ideals
  121. Wed Dec 22 04:59:03 2021 reduce to 111594981 relations and 96340281 ideals in 7 passes
  122. Wed Dec 22 04:59:03 2021 max relations containing the same ideal: 131
  123. Wed Dec 22 05:06:20 2021 removing 6968209 relations and 4968209 ideals in 2000000 cliques
  124. Wed Dec 22 05:06:26 2021 commencing in-memory singleton removal
  125. Wed Dec 22 05:07:51 2021 begin with 104626772 relations and 96340281 unique ideals
  126. Wed Dec 22 05:17:59 2021 reduce to 104292574 relations and 91032496 ideals in 7 passes
  127. Wed Dec 22 05:17:59 2021 max relations containing the same ideal: 128
  128. Wed Dec 22 05:24:44 2021 removing 6996593 relations and 4996593 ideals in 2000000 cliques
  129. Wed Dec 22 05:24:50 2021 commencing in-memory singleton removal
  130. Wed Dec 22 05:26:08 2021 begin with 97295981 relations and 91032496 unique ideals
  131. Wed Dec 22 05:35:23 2021 reduce to 96936194 relations and 85670037 ideals in 7 passes
  132. Wed Dec 22 05:35:23 2021 max relations containing the same ideal: 120
  133. Wed Dec 22 05:41:39 2021 removing 7038578 relations and 5038578 ideals in 2000000 cliques
  134. Wed Dec 22 05:41:45 2021 commencing in-memory singleton removal
  135. Wed Dec 22 05:42:55 2021 begin with 89897616 relations and 85670037 unique ideals
  136. Wed Dec 22 05:51:20 2021 reduce to 89504065 relations and 80230745 ideals in 7 passes
  137. Wed Dec 22 05:51:20 2021 max relations containing the same ideal: 115
  138. Wed Dec 22 05:57:04 2021 removing 7104972 relations and 5104972 ideals in 2000000 cliques
  139. Wed Dec 22 05:57:10 2021 commencing in-memory singleton removal
  140. Wed Dec 22 05:58:14 2021 begin with 82399093 relations and 80230745 unique ideals
  141. Wed Dec 22 06:06:56 2021 reduce to 81964605 relations and 74682793 ideals in 8 passes
  142. Wed Dec 22 06:06:56 2021 max relations containing the same ideal: 107
  143. Wed Dec 22 06:12:10 2021 removing 7187227 relations and 5187227 ideals in 2000000 cliques
  144. Wed Dec 22 06:12:16 2021 commencing in-memory singleton removal
  145. Wed Dec 22 06:13:11 2021 begin with 74777378 relations and 74682793 unique ideals
  146. Wed Dec 22 06:20:46 2021 reduce to 74289051 relations and 68996962 ideals in 8 passes
  147. Wed Dec 22 06:20:46 2021 max relations containing the same ideal: 102
  148. Wed Dec 22 06:25:24 2021 removing 7305082 relations and 5305082 ideals in 2000000 cliques
  149. Wed Dec 22 06:25:30 2021 commencing in-memory singleton removal
  150. Wed Dec 22 06:26:18 2021 begin with 66983969 relations and 68996962 unique ideals
  151. Wed Dec 22 06:32:50 2021 reduce to 66422161 relations and 63117180 ideals in 8 passes
  152. Wed Dec 22 06:32:50 2021 max relations containing the same ideal: 94
  153. Wed Dec 22 06:36:55 2021 removing 7214673 relations and 5292248 ideals in 1922425 cliques
  154. Wed Dec 22 06:37:00 2021 commencing in-memory singleton removal
  155. Wed Dec 22 06:37:41 2021 begin with 59207488 relations and 63117180 unique ideals
  156. Wed Dec 22 06:43:54 2021 reduce to 58587253 relations and 57189503 ideals in 9 passes
  157. Wed Dec 22 06:43:54 2021 max relations containing the same ideal: 87
  158. Wed Dec 22 06:47:28 2021 removing 126479 relations and 111285 ideals in 15194 cliques
  159. Wed Dec 22 06:47:30 2021 commencing in-memory singleton removal
  160. Wed Dec 22 06:48:09 2021 begin with 58460774 relations and 57189503 unique ideals
  161. Wed Dec 22 06:50:50 2021 reduce to 58460617 relations and 57078061 ideals in 4 passes
  162. Wed Dec 22 06:50:50 2021 max relations containing the same ideal: 86
  163. Wed Dec 22 06:51:57 2021 relations with 0 large ideals: 91869
  164. Wed Dec 22 06:51:57 2021 relations with 1 large ideals: 16324
  165. Wed Dec 22 06:51:57 2021 relations with 2 large ideals: 198218
  166. Wed Dec 22 06:51:57 2021 relations with 3 large ideals: 1346320
  167. Wed Dec 22 06:51:57 2021 relations with 4 large ideals: 5079664
  168. Wed Dec 22 06:51:57 2021 relations with 5 large ideals: 13225537
  169. Wed Dec 22 06:51:57 2021 relations with 6 large ideals: 15218959
  170. Wed Dec 22 06:51:57 2021 relations with 7+ large ideals: 23283726
  171. Wed Dec 22 06:51:57 2021 commencing 2-way merge
  172. Wed Dec 22 06:56:51 2021 reduce to 37499223 relation sets and 36116667 unique ideals
  173. Wed Dec 22 06:56:51 2021 commencing full merge
  174. Wed Dec 22 08:21:45 2021 memory use: 1677.5 MB
  175. Wed Dec 22 08:21:46 2021 found 181949 cycles, need 8141058
  176. Wed Dec 22 08:21:46 2021 too few cycles, matrix probably cannot build
  177. Wed Dec 22 08:21:46 2021 filtering wants 1000000 more relations
  178. Wed Dec 22 08:21:46 2021 elapsed time 18:04:23
  179. Wed Dec 22 14:17:09 2021
  180. Wed Dec 22 14:17:09 2021
  181. Wed Dec 22 14:17:09 2021 Msieve v. 1.54 (SVN unknown)
  182. Wed Dec 22 14:17:09 2021 random seeds: cd1873d5 0f48d651
  183. Wed Dec 22 14:17:09 2021 factoring 46021617283946641982063481451278764921547004715324534502595287532353196761450890234638844353837969186965291868281905916623601737229350348812207702023476836777953244663671183704721049867684965654462659802946267711711434774000791 (227 digits)
  184. Wed Dec 22 14:17:10 2021 no P-1/P+1/ECM available, skipping
  185. Wed Dec 22 14:17:10 2021 commencing number field sieve (227-digit input)
  186. Wed Dec 22 14:17:10 2021 R0: 100000000000000000000000000000000000000000000000000000000000
  187. Wed Dec 22 14:17:10 2021 R1: -72574551534231909331741171093173785967490646405143
  188. Wed Dec 22 14:17:10 2021 A0: 1
  189. Wed Dec 22 14:17:10 2021 A1: -1
  190. Wed Dec 22 14:17:10 2021 A2: 1
  191. Wed Dec 22 14:17:10 2021 A3: -1
  192. Wed Dec 22 14:17:10 2021 A4: 1
  193. Wed Dec 22 14:17:10 2021 skew 1.00, size 5.141e-24, alpha 1.694, combined = 2.608e-14 rroots = 0
  194. Wed Dec 22 14:17:10 2021
  195. Wed Dec 22 14:17:10 2021 commencing relation filtering
  196. Wed Dec 22 14:17:10 2021 setting target matrix density to 120.0
  197. Wed Dec 22 14:17:10 2021 estimated available RAM is 515600.8 MB
  198. Wed Dec 22 14:17:10 2021 commencing duplicate removal, pass 1
  199. Wed Dec 22 14:46:09 2021 skipped 11235 relations with b > 2^32
  200. Wed Dec 22 14:46:09 2021 skipped 68 relations with composite factors
  201. Wed Dec 22 14:46:09 2021 found 27386180 hash collisions in 362114968 relations
  202. Wed Dec 22 14:46:09 2021 commencing duplicate removal, pass 2
  203. Wed Dec 22 14:47:31 2021 found 0 duplicates and 362114968 unique relations
  204. Wed Dec 22 14:47:31 2021 memory use: 1321.5 MB
  205. Wed Dec 22 14:47:31 2021 reading ideals above 720000
  206. Wed Dec 22 14:47:31 2021 commencing singleton removal, initial pass
  207. Wed Dec 22 15:16:37 2021 memory use: 11024.0 MB
  208. Wed Dec 22 15:16:38 2021 reading all ideals from disk
  209. Wed Dec 22 15:16:40 2021 memory use: 15097.7 MB
  210. Wed Dec 22 15:16:53 2021 keeping 329402496 ideals with weight <= 200, target excess is 1829007
  211. Wed Dec 22 15:17:14 2021 commencing in-memory singleton removal
  212. Wed Dec 22 15:17:25 2021 begin with 362114968 relations and 329402496 unique ideals
  213. Wed Dec 22 15:19:31 2021 reduce to 234977189 relations and 189137909 ideals in 15 passes
  214. Wed Dec 22 15:19:31 2021 max relations containing the same ideal: 160
  215. Wed Dec 22 15:20:22 2021 removing 12908487 relations and 10908487 ideals in 2000000 cliques
  216. Wed Dec 22 15:20:26 2021 commencing in-memory singleton removal
  217. Wed Dec 22 15:20:33 2021 begin with 222068702 relations and 189137909 unique ideals
  218. Wed Dec 22 15:21:32 2021 reduce to 221507276 relations and 177661312 ideals in 8 passes
  219. Wed Dec 22 15:21:32 2021 max relations containing the same ideal: 155
  220. Wed Dec 22 15:22:20 2021 removing 9731361 relations and 7731361 ideals in 2000000 cliques
  221. Wed Dec 22 15:22:25 2021 commencing in-memory singleton removal
  222. Wed Dec 22 15:22:31 2021 begin with 211775915 relations and 177661312 unique ideals
  223. Wed Dec 22 15:23:27 2021 reduce to 211419173 relations and 169569587 ideals in 8 passes
  224. Wed Dec 22 15:23:27 2021 max relations containing the same ideal: 154
  225. Wed Dec 22 15:24:14 2021 removing 8732509 relations and 6732509 ideals in 2000000 cliques
  226. Wed Dec 22 15:24:17 2021 commencing in-memory singleton removal
  227. Wed Dec 22 15:24:23 2021 begin with 202686664 relations and 169569587 unique ideals
  228. Wed Dec 22 15:25:11 2021 reduce to 202382372 relations and 162529809 ideals in 7 passes
  229. Wed Dec 22 15:25:11 2021 max relations containing the same ideal: 149
  230. Wed Dec 22 15:25:55 2021 removing 8189194 relations and 6189194 ideals in 2000000 cliques
  231. Wed Dec 22 15:25:59 2021 commencing in-memory singleton removal
  232. Wed Dec 22 15:26:04 2021 begin with 194193178 relations and 162529809 unique ideals
  233. Wed Dec 22 15:26:50 2021 reduce to 193912855 relations and 156057569 ideals in 7 passes
  234. Wed Dec 22 15:26:50 2021 max relations containing the same ideal: 144
  235. Wed Dec 22 15:27:32 2021 removing 7833952 relations and 5833952 ideals in 2000000 cliques
  236. Wed Dec 22 15:27:36 2021 commencing in-memory singleton removal
  237. Wed Dec 22 15:27:41 2021 begin with 186078903 relations and 156057569 unique ideals
  238. Wed Dec 22 15:28:24 2021 reduce to 185812886 relations and 149954976 ideals in 7 passes
  239. Wed Dec 22 15:28:24 2021 max relations containing the same ideal: 140
  240. Wed Dec 22 15:29:05 2021 removing 7588300 relations and 5588300 ideals in 2000000 cliques
  241. Wed Dec 22 15:29:09 2021 commencing in-memory singleton removal
  242. Wed Dec 22 15:29:14 2021 begin with 178224586 relations and 149954976 unique ideals
  243. Wed Dec 22 15:29:55 2021 reduce to 177964604 relations and 144104041 ideals in 7 passes
  244. Wed Dec 22 15:29:55 2021 max relations containing the same ideal: 136
  245. Wed Dec 22 15:30:35 2021 removing 7408042 relations and 5408042 ideals in 2000000 cliques
  246. Wed Dec 22 15:30:38 2021 commencing in-memory singleton removal
  247. Wed Dec 22 15:30:43 2021 begin with 170556562 relations and 144104041 unique ideals
  248. Wed Dec 22 15:31:22 2021 reduce to 170301649 relations and 138438362 ideals in 7 passes
  249. Wed Dec 22 15:31:22 2021 max relations containing the same ideal: 132
  250. Wed Dec 22 15:32:00 2021 removing 7271666 relations and 5271666 ideals in 2000000 cliques
  251. Wed Dec 22 15:32:03 2021 commencing in-memory singleton removal
  252. Wed Dec 22 15:32:08 2021 begin with 163029983 relations and 138438362 unique ideals
  253. Wed Dec 22 15:32:40 2021 reduce to 162775602 relations and 132909501 ideals in 6 passes
  254. Wed Dec 22 15:32:40 2021 max relations containing the same ideal: 128
  255. Wed Dec 22 15:33:17 2021 removing 7163751 relations and 5163751 ideals in 2000000 cliques
  256. Wed Dec 22 15:33:20 2021 commencing in-memory singleton removal
  257. Wed Dec 22 15:33:24 2021 begin with 155611851 relations and 132909501 unique ideals
  258. Wed Dec 22 15:33:55 2021 reduce to 155356483 relations and 127487485 ideals in 6 passes
  259. Wed Dec 22 15:33:55 2021 max relations containing the same ideal: 124
  260. Wed Dec 22 15:34:30 2021 removing 7087832 relations and 5087832 ideals in 2000000 cliques
  261. Wed Dec 22 15:34:33 2021 commencing in-memory singleton removal
  262. Wed Dec 22 15:34:37 2021 begin with 148268651 relations and 127487485 unique ideals
  263. Wed Dec 22 15:35:06 2021 reduce to 148007480 relations and 122135435 ideals in 6 passes
  264. Wed Dec 22 15:35:06 2021 max relations containing the same ideal: 119
  265. Wed Dec 22 15:35:39 2021 removing 7027696 relations and 5027696 ideals in 2000000 cliques
  266. Wed Dec 22 15:35:42 2021 commencing in-memory singleton removal
  267. Wed Dec 22 15:35:46 2021 begin with 140979784 relations and 122135435 unique ideals
  268. Wed Dec 22 15:36:19 2021 reduce to 140712334 relations and 116837014 ideals in 7 passes
  269. Wed Dec 22 15:36:19 2021 max relations containing the same ideal: 114
  270. Wed Dec 22 15:36:51 2021 removing 6987452 relations and 4987453 ideals in 2000000 cliques
  271. Wed Dec 22 15:36:53 2021 commencing in-memory singleton removal
  272. Wed Dec 22 15:36:57 2021 begin with 133724882 relations and 116837014 unique ideals
  273. Wed Dec 22 15:37:28 2021 reduce to 133450388 relations and 111571416 ideals in 7 passes
  274. Wed Dec 22 15:37:28 2021 max relations containing the same ideal: 111
  275. Wed Dec 22 15:37:58 2021 removing 6965309 relations and 4965309 ideals in 2000000 cliques
  276. Wed Dec 22 15:38:01 2021 commencing in-memory singleton removal
  277. Wed Dec 22 15:38:04 2021 begin with 126485079 relations and 111571416 unique ideals
  278. Wed Dec 22 15:38:29 2021 reduce to 126198414 relations and 106315534 ideals in 6 passes
  279. Wed Dec 22 15:38:29 2021 max relations containing the same ideal: 109
  280. Wed Dec 22 15:38:58 2021 removing 6948216 relations and 4948216 ideals in 2000000 cliques
  281. Wed Dec 22 15:39:01 2021 commencing in-memory singleton removal
  282. Wed Dec 22 15:39:04 2021 begin with 119250198 relations and 106315534 unique ideals
  283. Wed Dec 22 15:39:31 2021 reduce to 118951965 relations and 101064762 ideals in 7 passes
  284. Wed Dec 22 15:39:31 2021 max relations containing the same ideal: 104
  285. Wed Dec 22 15:39:58 2021 removing 6950893 relations and 4950893 ideals in 2000000 cliques
  286. Wed Dec 22 15:40:01 2021 commencing in-memory singleton removal
  287. Wed Dec 22 15:40:04 2021 begin with 112001072 relations and 101064762 unique ideals
  288. Wed Dec 22 15:40:29 2021 reduce to 111684438 relations and 95792283 ideals in 7 passes
  289. Wed Dec 22 15:40:29 2021 max relations containing the same ideal: 101
  290. Wed Dec 22 15:40:55 2021 removing 6965281 relations and 4965281 ideals in 2000000 cliques
  291. Wed Dec 22 15:40:58 2021 commencing in-memory singleton removal
  292. Wed Dec 22 15:41:00 2021 begin with 104719157 relations and 95792283 unique ideals
  293. Wed Dec 22 15:41:24 2021 reduce to 104383872 relations and 90486209 ideals in 7 passes
  294. Wed Dec 22 15:41:24 2021 max relations containing the same ideal: 97
  295. Wed Dec 22 15:41:49 2021 removing 6992738 relations and 4992738 ideals in 2000000 cliques
  296. Wed Dec 22 15:41:51 2021 commencing in-memory singleton removal
  297. Wed Dec 22 15:41:54 2021 begin with 97391134 relations and 90486209 unique ideals
  298. Wed Dec 22 15:42:16 2021 reduce to 97027935 relations and 85124292 ideals in 7 passes
  299. Wed Dec 22 15:42:16 2021 max relations containing the same ideal: 90
  300. Wed Dec 22 15:42:39 2021 removing 7037452 relations and 5037452 ideals in 2000000 cliques
  301. Wed Dec 22 15:42:41 2021 commencing in-memory singleton removal
  302. Wed Dec 22 15:42:43 2021 begin with 89990483 relations and 85124292 unique ideals
  303. Wed Dec 22 15:43:07 2021 reduce to 89594408 relations and 79683613 ideals in 8 passes
  304. Wed Dec 22 15:43:07 2021 max relations containing the same ideal: 85
  305. Wed Dec 22 15:43:28 2021 removing 7103244 relations and 5103244 ideals in 2000000 cliques
  306. Wed Dec 22 15:43:30 2021 commencing in-memory singleton removal
  307. Wed Dec 22 15:43:32 2021 begin with 82491164 relations and 79683613 unique ideals
  308. Wed Dec 22 15:43:51 2021 reduce to 82053492 relations and 74134191 ideals in 7 passes
  309. Wed Dec 22 15:43:51 2021 max relations containing the same ideal: 81
  310. Wed Dec 22 15:44:11 2021 removing 7188341 relations and 5188341 ideals in 2000000 cliques
  311. Wed Dec 22 15:44:13 2021 commencing in-memory singleton removal
  312. Wed Dec 22 15:44:15 2021 begin with 74865151 relations and 74134191 unique ideals
  313. Wed Dec 22 15:44:32 2021 reduce to 74373773 relations and 68444277 ideals in 7 passes
  314. Wed Dec 22 15:44:32 2021 max relations containing the same ideal: 78
  315. Wed Dec 22 15:44:50 2021 removing 7306290 relations and 5306290 ideals in 2000000 cliques
  316. Wed Dec 22 15:44:52 2021 commencing in-memory singleton removal
  317. Wed Dec 22 15:44:54 2021 begin with 67067483 relations and 68444277 unique ideals
  318. Wed Dec 22 15:45:09 2021 reduce to 66503000 relations and 62560528 ideals in 7 passes
  319. Wed Dec 22 15:45:09 2021 max relations containing the same ideal: 74
  320. Wed Dec 22 15:45:26 2021 removing 6906511 relations and 5085688 ideals in 1820823 cliques
  321. Wed Dec 22 15:45:28 2021 commencing in-memory singleton removal
  322. Wed Dec 22 15:45:29 2021 begin with 59596489 relations and 62560528 unique ideals
  323. Wed Dec 22 15:45:44 2021 reduce to 59027492 relations and 56892536 ideals in 8 passes
  324. Wed Dec 22 15:45:44 2021 max relations containing the same ideal: 67
  325. Wed Dec 22 15:45:59 2021 removing 110872 relations and 97565 ideals in 13307 cliques
  326. Wed Dec 22 15:46:00 2021 commencing in-memory singleton removal
  327. Wed Dec 22 15:46:02 2021 begin with 58916620 relations and 56892536 unique ideals
  328. Wed Dec 22 15:46:09 2021 reduce to 58916490 relations and 56794840 ideals in 4 passes
  329. Wed Dec 22 15:46:09 2021 max relations containing the same ideal: 67
  330. Wed Dec 22 15:46:16 2021 relations with 0 large ideals: 135258
  331. Wed Dec 22 15:46:16 2021 relations with 1 large ideals: 43867
  332. Wed Dec 22 15:46:16 2021 relations with 2 large ideals: 505890
  333. Wed Dec 22 15:46:16 2021 relations with 3 large ideals: 2761425
  334. Wed Dec 22 15:46:16 2021 relations with 4 large ideals: 8289667
  335. Wed Dec 22 15:46:16 2021 relations with 5 large ideals: 16261778
  336. Wed Dec 22 15:46:16 2021 relations with 6 large ideals: 15236536
  337. Wed Dec 22 15:46:16 2021 relations with 7+ large ideals: 15682069
  338. Wed Dec 22 15:46:16 2021 commencing 2-way merge
  339. Wed Dec 22 15:46:37 2021 reduce to 37744106 relation sets and 35622456 unique ideals
  340. Wed Dec 22 15:46:37 2021 commencing full merge
  341. Wed Dec 22 15:55:53 2021 memory use: 4404.1 MB
  342. Wed Dec 22 15:55:55 2021 found 16600767 cycles, need 16556656
  343. Wed Dec 22 15:55:59 2021 weight of 16556656 cycles is about 1987440801 (120.04/cycle)
  344. Wed Dec 22 15:55:59 2021 distribution of cycle lengths:
  345. Wed Dec 22 15:55:59 2021 1 relations: 958063
  346. Wed Dec 22 15:55:59 2021 2 relations: 1034136
  347. Wed Dec 22 15:55:59 2021 3 relations: 1074835
  348. Wed Dec 22 15:55:59 2021 4 relations: 1077116
  349. Wed Dec 22 15:55:59 2021 5 relations: 1083809
  350. Wed Dec 22 15:55:59 2021 6 relations: 1072687
  351. Wed Dec 22 15:55:59 2021 7 relations: 1053380
  352. Wed Dec 22 15:55:59 2021 8 relations: 1021099
  353. Wed Dec 22 15:55:59 2021 9 relations: 977579
  354. Wed Dec 22 15:55:59 2021 10+ relations: 7203952
  355. Wed Dec 22 15:55:59 2021 heaviest cycle: 28 relations
  356. Wed Dec 22 15:56:01 2021 commencing cycle optimization
  357. Wed Dec 22 15:56:26 2021 start with 155115070 relations
  358. Wed Dec 22 16:00:32 2021 pruned 7393873 relations
  359. Wed Dec 22 16:00:32 2021 memory use: 3999.1 MB
  360. Wed Dec 22 16:00:32 2021 distribution of cycle lengths:
  361. Wed Dec 22 16:00:32 2021 1 relations: 958063
  362. Wed Dec 22 16:00:32 2021 2 relations: 1054867
  363. Wed Dec 22 16:00:32 2021 3 relations: 1117662
  364. Wed Dec 22 16:00:32 2021 4 relations: 1121154
  365. Wed Dec 22 16:00:32 2021 5 relations: 1138787
  366. Wed Dec 22 16:00:32 2021 6 relations: 1125523
  367. Wed Dec 22 16:00:32 2021 7 relations: 1111186
  368. Wed Dec 22 16:00:32 2021 8 relations: 1075222
  369. Wed Dec 22 16:00:32 2021 9 relations: 1030137
  370. Wed Dec 22 16:00:32 2021 10+ relations: 6824055
  371. Wed Dec 22 16:00:32 2021 heaviest cycle: 28 relations
  372. Wed Dec 22 16:00:50 2021 RelProcTime: 6220
  373. Wed Dec 22 16:00:50 2021
  374. Wed Dec 22 16:00:50 2021 commencing linear algebra
  375. Wed Dec 22 16:00:50 2021 using VBITS=384
  376. Wed Dec 22 16:00:50 2021 read 16556656 cycles
  377. Wed Dec 22 16:01:16 2021 cycles contain 57664888 unique relations
  378. Wed Dec 22 16:04:36 2021 read 57664888 relations
  379. Wed Dec 22 16:05:53 2021 using 20 quadratic characters above 4294917295
  380. Wed Dec 22 16:08:31 2021 building initial matrix
  381. Wed Dec 22 16:15:37 2021 memory use: 7172.6 MB
  382. Wed Dec 22 16:15:42 2021 read 16556656 cycles
  383. Wed Dec 22 16:15:44 2021 matrix is 16556479 x 16556656 (7792.1 MB) with weight 2222896489 (134.26/col)
  384. Wed Dec 22 16:15:44 2021 sparse part has weight 1860522177 (112.37/col)
  385. Wed Dec 22 16:17:59 2021 filtering completed in 2 passes
  386. Wed Dec 22 16:18:02 2021 matrix is 16556066 x 16556212 (7792.0 MB) with weight 2222882272 (134.26/col)
  387. Wed Dec 22 16:18:02 2021 sparse part has weight 1860517464 (112.38/col)
  388. Wed Dec 22 16:18:28 2021 matrix starts at (0, 0)
  389. Wed Dec 22 16:18:30 2021 matrix is 16556066 x 16556212 (7792.0 MB) with weight 2222882272 (134.26/col)
  390. Wed Dec 22 16:18:30 2021 sparse part has weight 1860517464 (112.38/col)
  391. Wed Dec 22 16:18:30 2021 saving the first 368 matrix rows for later
  392. Wed Dec 22 16:18:32 2021 matrix includes 384 packed rows
  393. Wed Dec 22 16:18:38 2021 matrix is 16555698 x 16556212 (7265.0 MB) with weight 1654078355 (99.91/col)
  394. Wed Dec 22 16:18:38 2021 sparse part has weight 1573359549 (95.03/col)
  395. Wed Dec 22 16:18:38 2021 using GPU 1 (Tesla V100-PCIE-32GB)
  396. Wed Dec 22 16:18:38 2021 selected card has CUDA arch 7.0
  397. Wed Dec 22 16:19:39 2021 commencing Lanczos iteration
  398. Wed Dec 22 16:19:40 2021 memory use: 18193.2 MB
  399. Wed Dec 22 16:19:47 2021 linear algebra at 0.0%, ETA 11h59m
  400. Wed Dec 22 16:19:51 2021 checkpointing every 1520000 dimensions
  401. Thu Dec 23 03:17:06 2021 lanczos halted after 43202 iterations (dim = 16555695)
  402. Thu Dec 23 03:18:21 2021 recovered 35 nontrivial dependencies
  403. Thu Dec 23 03:18:21 2021 BLanczosTime: 40651
  404. Thu Dec 23 03:18:21 2021
  405. Thu Dec 23 03:18:21 2021 commencing square root phase
  406. Thu Dec 23 03:18:21 2021 handling dependencies 1 to 64
  407. Thu Dec 23 03:18:21 2021 reading relations for dependency 1
  408. Thu Dec 23 03:18:23 2021 read 8278311 cycles
  409. Thu Dec 23 03:18:35 2021 cycles contain 28827492 unique relations
  410. Thu Dec 23 03:20:27 2021 read 28827492 relations
  411. Thu Dec 23 03:21:49 2021 multiplying 28827492 relations
  412. Thu Dec 23 03:28:32 2021 multiply complete, coefficients have about 771.07 million bits
  413. Thu Dec 23 03:28:33 2021 initial square root is modulo 8272613
  414. Thu Dec 23 03:37:02 2021 sqrtTime: 1121
  415. Thu Dec 23 03:37:02 2021 p84 factor: 457341614808199407277408623082448399936231940279243725217432868463853074635799086321
  416. Thu Dec 23 03:37:02 2021 p144 factor: 100628536292826216761040535915800646376750615853133244136249054899548945855289145780251692295159932480232598153444153064150445506794541204632071
  417. Thu Dec 23 03:37:02 2021 elapsed time 13:19:53
  418.  
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