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3p2_1374M

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Dec 10th, 2018
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  1. Sun Dec 9 08:37:53 2018
  2. Sun Dec 9 08:37:53 2018
  3. Sun Dec 9 08:37:53 2018 Msieve v. 1.53 (SVN 988M)
  4. Sun Dec 9 08:37:53 2018 random seeds: 487dcc9d 58b4fbd2
  5. Sun Dec 9 08:37:53 2018 factoring 44839735358598707252555531236585887831019607286396777904986801265663864886296103132384389353081153430783934990117572443894329881796932464882694369089685995379947826196672194425429020268997 (188 digits)
  6. Sun Dec 9 08:37:53 2018 searching for 15-digit factors
  7. Sun Dec 9 08:37:54 2018 commencing number field sieve (188-digit input)
  8. Sun Dec 9 08:37:54 2018 R0: -2465034704958067503996131453373943813074726512397600969
  9. Sun Dec 9 08:37:54 2018 R1: 20769187434139310514121985316880384
  10. Sun Dec 9 08:37:54 2018 A0: 4
  11. Sun Dec 9 08:37:54 2018 A1: 12
  12. Sun Dec 9 08:37:54 2018 A2: 18
  13. Sun Dec 9 08:37:54 2018 A3: 18
  14. Sun Dec 9 08:37:54 2018 A4: 9
  15. Sun Dec 9 08:37:54 2018 skew 0.82, size 2.164e-22, alpha 1.559, combined = 2.464e-13 rroots = 0
  16. Sun Dec 9 08:37:54 2018
  17. Sun Dec 9 08:37:54 2018 commencing relation filtering
  18. Sun Dec 9 08:37:54 2018 setting target matrix density to 130.0
  19. Sun Dec 9 08:37:54 2018 estimated available RAM is 131072.0 MB
  20. Sun Dec 9 08:37:54 2018 commencing duplicate removal, pass 1
  21. Sun Dec 9 08:43:52 2018 error -15 reading relation 53341283
  22. Sun Dec 9 08:49:08 2018 error -1 reading relation 100141033
  23. Sun Dec 9 08:49:08 2018 error -1 reading relation 100141034
  24. Sun Dec 9 08:50:53 2018 error -15 reading relation 115417700
  25. Sun Dec 9 08:54:36 2018 error -15 reading relation 148066597
  26. Sun Dec 9 08:55:35 2018 error -15 reading relation 156748029
  27. Sun Dec 9 08:56:30 2018 error -15 reading relation 164753455
  28. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903811
  29. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903820
  30. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903839
  31. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903878
  32. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903880
  33. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903930
  34. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903948
  35. Sun Dec 9 08:56:37 2018 error -11 reading relation 165903956
  36. Sun Dec 9 08:56:37 2018 error -11 reading relation 165904054
  37. Sun Dec 9 08:56:37 2018 error -11 reading relation 165904119
  38. Sun Dec 9 08:56:37 2018 error -11 reading relation 165904142
  39. Sun Dec 9 08:56:37 2018 error -11 reading relation 165904225
  40. Sun Dec 9 08:56:37 2018 error -11 reading relation 165904240
  41. Sun Dec 9 08:56:37 2018 error -11 reading relation 165904272
  42. Sun Dec 9 08:56:37 2018 error -11 reading relation 165904387
  43. Sun Dec 9 08:56:37 2018 error -15 reading relation 165904405
  44. Sun Dec 9 08:56:37 2018 error -15 reading relation 165904518
  45. Sun Dec 9 09:00:27 2018 error -1 reading relation 199132845
  46. Sun Dec 9 09:00:37 2018 error -11 reading relation 200469158
  47. Sun Dec 9 09:01:12 2018 error -1 reading relation 205720588
  48. Sun Dec 9 09:01:56 2018 skipped 1274 relations with b > 2^32
  49. Sun Dec 9 09:01:56 2018 skipped 14 relations with composite factors
  50. Sun Dec 9 09:01:56 2018 found 9802903 hash collisions in 211956245 relations
  51. Sun Dec 9 09:02:02 2018 added 3657369 free relations
  52. Sun Dec 9 09:02:02 2018 commencing duplicate removal, pass 2
  53. Sun Dec 9 09:02:55 2018 found 0 duplicates and 215613614 unique relations
  54. Sun Dec 9 09:02:55 2018 memory use: 522.4 MB
  55. Sun Dec 9 09:02:55 2018 reading ideals above 720000
  56. Sun Dec 9 09:02:55 2018 commencing singleton removal, initial pass
  57. Sun Dec 9 09:27:33 2018 memory use: 5512.0 MB
  58. Sun Dec 9 09:27:34 2018 reading all ideals from disk
  59. Sun Dec 9 09:27:37 2018 memory use: 8451.1 MB
  60. Sun Dec 9 09:27:57 2018 keeping 175608891 ideals with weight <= 200, target excess is 1127683
  61. Sun Dec 9 09:28:20 2018 commencing in-memory singleton removal
  62. Sun Dec 9 09:28:35 2018 begin with 215613614 relations and 175608891 unique ideals
  63. Sun Dec 9 09:31:25 2018 reduce to 155076595 relations and 109870720 ideals in 12 passes
  64. Sun Dec 9 09:31:25 2018 max relations containing the same ideal: 172
  65. Sun Dec 9 09:32:24 2018 removing 9107872 relations and 7107872 ideals in 2000000 cliques
  66. Sun Dec 9 09:32:28 2018 commencing in-memory singleton removal
  67. Sun Dec 9 09:32:39 2018 begin with 145968723 relations and 109870720 unique ideals
  68. Sun Dec 9 09:34:17 2018 reduce to 145562747 relations and 102350050 ideals in 8 passes
  69. Sun Dec 9 09:34:17 2018 max relations containing the same ideal: 164
  70. Sun Dec 9 09:35:12 2018 removing 6988941 relations and 4988941 ideals in 2000000 cliques
  71. Sun Dec 9 09:35:16 2018 commencing in-memory singleton removal
  72. Sun Dec 9 09:35:26 2018 begin with 138573806 relations and 102350050 unique ideals
  73. Sun Dec 9 09:36:48 2018 reduce to 138303079 relations and 97086374 ideals in 7 passes
  74. Sun Dec 9 09:36:48 2018 max relations containing the same ideal: 159
  75. Sun Dec 9 09:37:41 2018 removing 6386866 relations and 4386866 ideals in 2000000 cliques
  76. Sun Dec 9 09:37:44 2018 commencing in-memory singleton removal
  77. Sun Dec 9 09:37:53 2018 begin with 131916213 relations and 97086374 unique ideals
  78. Sun Dec 9 09:38:59 2018 reduce to 131687532 relations and 92467522 ideals in 6 passes
  79. Sun Dec 9 09:38:59 2018 max relations containing the same ideal: 157
  80. Sun Dec 9 09:39:46 2018 removing 6070169 relations and 4070169 ideals in 2000000 cliques
  81. Sun Dec 9 09:39:49 2018 commencing in-memory singleton removal
  82. Sun Dec 9 09:39:57 2018 begin with 125617363 relations and 92467522 unique ideals
  83. Sun Dec 9 09:40:54 2018 reduce to 125411285 relations and 88188279 ideals in 6 passes
  84. Sun Dec 9 09:40:54 2018 max relations containing the same ideal: 155
  85. Sun Dec 9 09:41:38 2018 removing 5859653 relations and 3859653 ideals in 2000000 cliques
  86. Sun Dec 9 09:41:40 2018 commencing in-memory singleton removal
  87. Sun Dec 9 09:41:47 2018 begin with 119551632 relations and 88188279 unique ideals
  88. Sun Dec 9 09:42:41 2018 reduce to 119358518 relations and 84132558 ideals in 6 passes
  89. Sun Dec 9 09:42:41 2018 max relations containing the same ideal: 153
  90. Sun Dec 9 09:43:22 2018 removing 5707210 relations and 3707210 ideals in 2000000 cliques
  91. Sun Dec 9 09:43:24 2018 commencing in-memory singleton removal
  92. Sun Dec 9 09:43:31 2018 begin with 113651308 relations and 84132558 unique ideals
  93. Sun Dec 9 09:44:22 2018 reduce to 113468186 relations and 80239405 ideals in 6 passes
  94. Sun Dec 9 09:44:22 2018 max relations containing the same ideal: 148
  95. Sun Dec 9 09:45:01 2018 removing 5590025 relations and 3590025 ideals in 2000000 cliques
  96. Sun Dec 9 09:45:03 2018 commencing in-memory singleton removal
  97. Sun Dec 9 09:45:10 2018 begin with 107878161 relations and 80239405 unique ideals
  98. Sun Dec 9 09:45:57 2018 reduce to 107700454 relations and 76468744 ideals in 6 passes
  99. Sun Dec 9 09:45:57 2018 max relations containing the same ideal: 141
  100. Sun Dec 9 09:46:34 2018 removing 5496934 relations and 3496934 ideals in 2000000 cliques
  101. Sun Dec 9 09:46:36 2018 commencing in-memory singleton removal
  102. Sun Dec 9 09:46:42 2018 begin with 102203520 relations and 76468744 unique ideals
  103. Sun Dec 9 09:47:27 2018 reduce to 102028552 relations and 72793792 ideals in 6 passes
  104. Sun Dec 9 09:47:27 2018 max relations containing the same ideal: 135
  105. Sun Dec 9 09:48:01 2018 removing 5419117 relations and 3419117 ideals in 2000000 cliques
  106. Sun Dec 9 09:48:03 2018 commencing in-memory singleton removal
  107. Sun Dec 9 09:48:09 2018 begin with 96609435 relations and 72793792 unique ideals
  108. Sun Dec 9 09:48:45 2018 reduce to 96435844 relations and 69197892 ideals in 5 passes
  109. Sun Dec 9 09:48:45 2018 max relations containing the same ideal: 130
  110. Sun Dec 9 09:49:17 2018 removing 5354413 relations and 3354413 ideals in 2000000 cliques
  111. Sun Dec 9 09:49:19 2018 commencing in-memory singleton removal
  112. Sun Dec 9 09:49:25 2018 begin with 91081431 relations and 69197892 unique ideals
  113. Sun Dec 9 09:49:58 2018 reduce to 90907813 relations and 65666536 ideals in 5 passes
  114. Sun Dec 9 09:49:58 2018 max relations containing the same ideal: 125
  115. Sun Dec 9 09:50:29 2018 removing 5295198 relations and 3295198 ideals in 2000000 cliques
  116. Sun Dec 9 09:50:31 2018 commencing in-memory singleton removal
  117. Sun Dec 9 09:50:36 2018 begin with 85612615 relations and 65666536 unique ideals
  118. Sun Dec 9 09:51:13 2018 reduce to 85438269 relations and 62193452 ideals in 6 passes
  119. Sun Dec 9 09:51:13 2018 max relations containing the same ideal: 120
  120. Sun Dec 9 09:51:42 2018 removing 5247814 relations and 3247814 ideals in 2000000 cliques
  121. Sun Dec 9 09:51:44 2018 commencing in-memory singleton removal
  122. Sun Dec 9 09:51:49 2018 begin with 80190455 relations and 62193452 unique ideals
  123. Sun Dec 9 09:52:24 2018 reduce to 80012579 relations and 58763932 ideals in 6 passes
  124. Sun Dec 9 09:52:24 2018 max relations containing the same ideal: 113
  125. Sun Dec 9 09:52:51 2018 removing 5203499 relations and 3203499 ideals in 2000000 cliques
  126. Sun Dec 9 09:52:52 2018 commencing in-memory singleton removal
  127. Sun Dec 9 09:52:57 2018 begin with 74809080 relations and 58763932 unique ideals
  128. Sun Dec 9 09:53:29 2018 reduce to 74627801 relations and 55374967 ideals in 6 passes
  129. Sun Dec 9 09:53:29 2018 max relations containing the same ideal: 110
  130. Sun Dec 9 09:53:54 2018 removing 5165909 relations and 3165909 ideals in 2000000 cliques
  131. Sun Dec 9 09:53:56 2018 commencing in-memory singleton removal
  132. Sun Dec 9 09:54:00 2018 begin with 69461892 relations and 55374967 unique ideals
  133. Sun Dec 9 09:54:30 2018 reduce to 69274737 relations and 52017406 ideals in 6 passes
  134. Sun Dec 9 09:54:30 2018 max relations containing the same ideal: 103
  135. Sun Dec 9 09:54:53 2018 removing 5130998 relations and 3130998 ideals in 2000000 cliques
  136. Sun Dec 9 09:54:55 2018 commencing in-memory singleton removal
  137. Sun Dec 9 09:54:59 2018 begin with 64143739 relations and 52017406 unique ideals
  138. Sun Dec 9 09:55:21 2018 reduce to 63948430 relations and 48686183 ideals in 5 passes
  139. Sun Dec 9 09:55:21 2018 max relations containing the same ideal: 98
  140. Sun Dec 9 09:55:43 2018 removing 5105458 relations and 3105458 ideals in 2000000 cliques
  141. Sun Dec 9 09:55:45 2018 commencing in-memory singleton removal
  142. Sun Dec 9 09:55:48 2018 begin with 58842972 relations and 48686183 unique ideals
  143. Sun Dec 9 09:56:17 2018 reduce to 58636937 relations and 45369073 ideals in 7 passes
  144. Sun Dec 9 09:56:17 2018 max relations containing the same ideal: 92
  145. Sun Dec 9 09:56:37 2018 removing 5079865 relations and 3079865 ideals in 2000000 cliques
  146. Sun Dec 9 09:56:39 2018 commencing in-memory singleton removal
  147. Sun Dec 9 09:56:42 2018 begin with 53557072 relations and 45369073 unique ideals
  148. Sun Dec 9 09:57:04 2018 reduce to 53335951 relations and 42061582 ideals in 6 passes
  149. Sun Dec 9 09:57:04 2018 max relations containing the same ideal: 86
  150. Sun Dec 9 09:57:22 2018 removing 5062368 relations and 3062368 ideals in 2000000 cliques
  151. Sun Dec 9 09:57:23 2018 commencing in-memory singleton removal
  152. Sun Dec 9 09:57:26 2018 begin with 48273583 relations and 42061582 unique ideals
  153. Sun Dec 9 09:57:43 2018 reduce to 48030603 relations and 38748634 ideals in 5 passes
  154. Sun Dec 9 09:57:43 2018 max relations containing the same ideal: 80
  155. Sun Dec 9 09:57:59 2018 removing 5057044 relations and 3057044 ideals in 2000000 cliques
  156. Sun Dec 9 09:58:00 2018 commencing in-memory singleton removal
  157. Sun Dec 9 09:58:03 2018 begin with 42973559 relations and 38748634 unique ideals
  158. Sun Dec 9 09:58:20 2018 reduce to 42699813 relations and 35408489 ideals in 6 passes
  159. Sun Dec 9 09:58:20 2018 max relations containing the same ideal: 75
  160. Sun Dec 9 09:58:34 2018 removing 5065765 relations and 3065765 ideals in 2000000 cliques
  161. Sun Dec 9 09:58:36 2018 commencing in-memory singleton removal
  162. Sun Dec 9 09:58:38 2018 begin with 37634048 relations and 35408489 unique ideals
  163. Sun Dec 9 09:58:56 2018 reduce to 37312566 relations and 32008824 ideals in 7 passes
  164. Sun Dec 9 09:58:56 2018 max relations containing the same ideal: 68
  165. Sun Dec 9 09:59:08 2018 removing 5099605 relations and 3099605 ideals in 2000000 cliques
  166. Sun Dec 9 09:59:09 2018 commencing in-memory singleton removal
  167. Sun Dec 9 09:59:11 2018 begin with 32212961 relations and 32008824 unique ideals
  168. Sun Dec 9 09:59:24 2018 reduce to 31815582 relations and 28494523 ideals in 6 passes
  169. Sun Dec 9 09:59:24 2018 max relations containing the same ideal: 63
  170. Sun Dec 9 09:59:34 2018 removing 5182033 relations and 3182033 ideals in 2000000 cliques
  171. Sun Dec 9 09:59:36 2018 commencing in-memory singleton removal
  172. Sun Dec 9 09:59:37 2018 begin with 26633549 relations and 28494523 unique ideals
  173. Sun Dec 9 09:59:51 2018 reduce to 26099235 relations and 24750517 ideals in 8 passes
  174. Sun Dec 9 09:59:51 2018 max relations containing the same ideal: 54
  175. Sun Dec 9 09:59:59 2018 removing 203456 relations and 162851 ideals in 40605 cliques
  176. Sun Dec 9 10:00:00 2018 commencing in-memory singleton removal
  177. Sun Dec 9 10:00:01 2018 begin with 25895779 relations and 24750517 unique ideals
  178. Sun Dec 9 10:00:10 2018 reduce to 25894072 relations and 24585953 ideals in 5 passes
  179. Sun Dec 9 10:00:10 2018 max relations containing the same ideal: 54
  180. Sun Dec 9 10:00:12 2018 relations with 0 large ideals: 83603
  181. Sun Dec 9 10:00:12 2018 relations with 1 large ideals: 45126
  182. Sun Dec 9 10:00:12 2018 relations with 2 large ideals: 469891
  183. Sun Dec 9 10:00:12 2018 relations with 3 large ideals: 2119780
  184. Sun Dec 9 10:00:12 2018 relations with 4 large ideals: 5078856
  185. Sun Dec 9 10:00:12 2018 relations with 5 large ideals: 7749076
  186. Sun Dec 9 10:00:12 2018 relations with 6 large ideals: 5838447
  187. Sun Dec 9 10:00:12 2018 relations with 7+ large ideals: 4509293
  188. Sun Dec 9 10:00:12 2018 commencing 2-way merge
  189. Sun Dec 9 10:00:25 2018 reduce to 18712816 relation sets and 17404697 unique ideals
  190. Sun Dec 9 10:00:25 2018 commencing full merge
  191. Sun Dec 9 10:08:26 2018 memory use: 820.3 MB
  192. Sun Dec 9 10:08:26 2018 found 159434 cycles, need 4381883
  193. Sun Dec 9 10:08:26 2018 too few cycles, matrix probably cannot build
  194. Sun Dec 9 11:04:18 2018
  195. Sun Dec 9 11:04:18 2018
  196. Sun Dec 9 11:04:18 2018 Msieve v. 1.53 (SVN 988M)
  197. Sun Dec 9 11:04:18 2018 random seeds: a90e3a2f 6b8cdd41
  198. Sun Dec 9 11:04:18 2018 factoring 44839735358598707252555531236585887831019607286396777904986801265663864886296103132384389353081153430783934990117572443894329881796932464882694369089685995379947826196672194425429020268997 (188 digits)
  199. Sun Dec 9 11:04:19 2018 searching for 15-digit factors
  200. Sun Dec 9 11:04:20 2018 commencing number field sieve (188-digit input)
  201. Sun Dec 9 11:04:20 2018 R0: -2465034704958067503996131453373943813074726512397600969
  202. Sun Dec 9 11:04:20 2018 R1: 20769187434139310514121985316880384
  203. Sun Dec 9 11:04:20 2018 A0: 4
  204. Sun Dec 9 11:04:20 2018 A1: 12
  205. Sun Dec 9 11:04:20 2018 A2: 18
  206. Sun Dec 9 11:04:20 2018 A3: 18
  207. Sun Dec 9 11:04:20 2018 A4: 9
  208. Sun Dec 9 11:04:20 2018 skew 0.82, size 2.164e-22, alpha 1.559, combined = 2.464e-13 rroots = 0
  209. Sun Dec 9 11:04:20 2018
  210. Sun Dec 9 11:04:20 2018 commencing relation filtering
  211. Sun Dec 9 11:04:20 2018 setting target matrix density to 120.0
  212. Sun Dec 9 11:04:20 2018 estimated available RAM is 131072.0 MB
  213. Sun Dec 9 11:04:20 2018 commencing duplicate removal, pass 1
  214. Sun Dec 9 11:09:06 2018 error -15 reading relation 53341283
  215. Sun Dec 9 11:13:17 2018 error -1 reading relation 100141033
  216. Sun Dec 9 11:13:17 2018 error -1 reading relation 100141034
  217. Sun Dec 9 11:14:39 2018 error -15 reading relation 115417700
  218. Sun Dec 9 11:17:36 2018 error -15 reading relation 148066597
  219. Sun Dec 9 11:18:23 2018 error -15 reading relation 156748029
  220. Sun Dec 9 11:19:06 2018 error -15 reading relation 164753455
  221. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903811
  222. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903820
  223. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903839
  224. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903878
  225. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903880
  226. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903930
  227. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903948
  228. Sun Dec 9 11:19:12 2018 error -11 reading relation 165903956
  229. Sun Dec 9 11:19:12 2018 error -11 reading relation 165904054
  230. Sun Dec 9 11:19:12 2018 error -11 reading relation 165904119
  231. Sun Dec 9 11:19:12 2018 error -11 reading relation 165904142
  232. Sun Dec 9 11:19:12 2018 error -11 reading relation 165904225
  233. Sun Dec 9 11:19:12 2018 error -11 reading relation 165904240
  234. Sun Dec 9 11:19:12 2018 error -11 reading relation 165904272
  235. Sun Dec 9 11:19:12 2018 error -11 reading relation 165904387
  236. Sun Dec 9 11:19:12 2018 error -15 reading relation 165904405
  237. Sun Dec 9 11:19:12 2018 error -15 reading relation 165904518
  238. Sun Dec 9 11:22:12 2018 error -1 reading relation 199132845
  239. Sun Dec 9 11:22:20 2018 error -11 reading relation 200469158
  240. Sun Dec 9 11:22:48 2018 error -1 reading relation 205720588
  241. Sun Dec 9 11:23:43 2018 skipped 1274 relations with b > 2^32
  242. Sun Dec 9 11:23:43 2018 skipped 14 relations with composite factors
  243. Sun Dec 9 11:23:43 2018 found 10130514 hash collisions in 215613614 relations
  244. Sun Dec 9 11:23:43 2018 commencing duplicate removal, pass 2
  245. Sun Dec 9 11:24:30 2018 found 0 duplicates and 215613614 unique relations
  246. Sun Dec 9 11:24:30 2018 memory use: 756.8 MB
  247. Sun Dec 9 11:24:30 2018 reading ideals above 720000
  248. Sun Dec 9 11:24:30 2018 commencing singleton removal, initial pass
  249. Sun Dec 9 11:42:56 2018 memory use: 5512.0 MB
  250. Sun Dec 9 11:42:56 2018 reading all ideals from disk
  251. Sun Dec 9 11:42:59 2018 memory use: 8451.1 MB
  252. Sun Dec 9 11:43:18 2018 keeping 175608891 ideals with weight <= 200, target excess is 1127683
  253. Sun Dec 9 11:43:40 2018 commencing in-memory singleton removal
  254. Sun Dec 9 11:43:54 2018 begin with 215613614 relations and 175608891 unique ideals
  255. Sun Dec 9 11:46:31 2018 reduce to 155076595 relations and 109870720 ideals in 12 passes
  256. Sun Dec 9 11:46:31 2018 max relations containing the same ideal: 172
  257. Sun Dec 9 11:47:25 2018 removing 9107872 relations and 7107872 ideals in 2000000 cliques
  258. Sun Dec 9 11:47:28 2018 commencing in-memory singleton removal
  259. Sun Dec 9 11:47:37 2018 begin with 145968723 relations and 109870720 unique ideals
  260. Sun Dec 9 11:49:10 2018 reduce to 145562747 relations and 102350050 ideals in 8 passes
  261. Sun Dec 9 11:49:10 2018 max relations containing the same ideal: 164
  262. Sun Dec 9 11:50:00 2018 removing 6988941 relations and 4988941 ideals in 2000000 cliques
  263. Sun Dec 9 11:50:03 2018 commencing in-memory singleton removal
  264. Sun Dec 9 11:50:12 2018 begin with 138573806 relations and 102350050 unique ideals
  265. Sun Dec 9 11:51:29 2018 reduce to 138303079 relations and 97086374 ideals in 7 passes
  266. Sun Dec 9 11:51:29 2018 max relations containing the same ideal: 159
  267. Sun Dec 9 11:52:17 2018 removing 6386866 relations and 4386866 ideals in 2000000 cliques
  268. Sun Dec 9 11:52:19 2018 commencing in-memory singleton removal
  269. Sun Dec 9 11:52:28 2018 begin with 131916213 relations and 97086374 unique ideals
  270. Sun Dec 9 11:53:30 2018 reduce to 131687532 relations and 92467522 ideals in 6 passes
  271. Sun Dec 9 11:53:30 2018 max relations containing the same ideal: 157
  272. Sun Dec 9 11:54:16 2018 removing 6070169 relations and 4070169 ideals in 2000000 cliques
  273. Sun Dec 9 11:54:19 2018 commencing in-memory singleton removal
  274. Sun Dec 9 11:54:27 2018 begin with 125617363 relations and 92467522 unique ideals
  275. Sun Dec 9 11:55:26 2018 reduce to 125411285 relations and 88188279 ideals in 6 passes
  276. Sun Dec 9 11:55:26 2018 max relations containing the same ideal: 155
  277. Sun Dec 9 11:56:09 2018 removing 5859653 relations and 3859653 ideals in 2000000 cliques
  278. Sun Dec 9 11:56:12 2018 commencing in-memory singleton removal
  279. Sun Dec 9 11:56:19 2018 begin with 119551632 relations and 88188279 unique ideals
  280. Sun Dec 9 11:57:15 2018 reduce to 119358518 relations and 84132558 ideals in 6 passes
  281. Sun Dec 9 11:57:15 2018 max relations containing the same ideal: 153
  282. Sun Dec 9 11:57:57 2018 removing 5707210 relations and 3707210 ideals in 2000000 cliques
  283. Sun Dec 9 11:57:59 2018 commencing in-memory singleton removal
  284. Sun Dec 9 11:58:06 2018 begin with 113651308 relations and 84132558 unique ideals
  285. Sun Dec 9 11:58:59 2018 reduce to 113468186 relations and 80239405 ideals in 6 passes
  286. Sun Dec 9 11:58:59 2018 max relations containing the same ideal: 148
  287. Sun Dec 9 11:59:38 2018 removing 5590025 relations and 3590025 ideals in 2000000 cliques
  288. Sun Dec 9 11:59:41 2018 commencing in-memory singleton removal
  289. Sun Dec 9 11:59:48 2018 begin with 107878161 relations and 80239405 unique ideals
  290. Sun Dec 9 12:00:38 2018 reduce to 107700454 relations and 76468744 ideals in 6 passes
  291. Sun Dec 9 12:00:38 2018 max relations containing the same ideal: 141
  292. Sun Dec 9 12:01:15 2018 removing 5496934 relations and 3496934 ideals in 2000000 cliques
  293. Sun Dec 9 12:01:17 2018 commencing in-memory singleton removal
  294. Sun Dec 9 12:01:24 2018 begin with 102203520 relations and 76468744 unique ideals
  295. Sun Dec 9 12:02:10 2018 reduce to 102028552 relations and 72793792 ideals in 6 passes
  296. Sun Dec 9 12:02:10 2018 max relations containing the same ideal: 135
  297. Sun Dec 9 12:02:45 2018 removing 5419117 relations and 3419117 ideals in 2000000 cliques
  298. Sun Dec 9 12:02:48 2018 commencing in-memory singleton removal
  299. Sun Dec 9 12:02:54 2018 begin with 96609435 relations and 72793792 unique ideals
  300. Sun Dec 9 12:03:31 2018 reduce to 96435844 relations and 69197892 ideals in 5 passes
  301. Sun Dec 9 12:03:31 2018 max relations containing the same ideal: 130
  302. Sun Dec 9 12:04:04 2018 removing 5354413 relations and 3354413 ideals in 2000000 cliques
  303. Sun Dec 9 12:04:06 2018 commencing in-memory singleton removal
  304. Sun Dec 9 12:04:12 2018 begin with 91081431 relations and 69197892 unique ideals
  305. Sun Dec 9 12:04:47 2018 reduce to 90907813 relations and 65666536 ideals in 5 passes
  306. Sun Dec 9 12:04:47 2018 max relations containing the same ideal: 125
  307. Sun Dec 9 12:05:18 2018 removing 5295198 relations and 3295198 ideals in 2000000 cliques
  308. Sun Dec 9 12:05:20 2018 commencing in-memory singleton removal
  309. Sun Dec 9 12:05:25 2018 begin with 85612615 relations and 65666536 unique ideals
  310. Sun Dec 9 12:06:04 2018 reduce to 85438269 relations and 62193452 ideals in 6 passes
  311. Sun Dec 9 12:06:04 2018 max relations containing the same ideal: 120
  312. Sun Dec 9 12:06:34 2018 removing 5247814 relations and 3247814 ideals in 2000000 cliques
  313. Sun Dec 9 12:06:35 2018 commencing in-memory singleton removal
  314. Sun Dec 9 12:06:40 2018 begin with 80190455 relations and 62193452 unique ideals
  315. Sun Dec 9 12:07:17 2018 reduce to 80012579 relations and 58763932 ideals in 6 passes
  316. Sun Dec 9 12:07:17 2018 max relations containing the same ideal: 113
  317. Sun Dec 9 12:07:44 2018 removing 5203499 relations and 3203499 ideals in 2000000 cliques
  318. Sun Dec 9 12:07:46 2018 commencing in-memory singleton removal
  319. Sun Dec 9 12:07:50 2018 begin with 74809080 relations and 58763932 unique ideals
  320. Sun Dec 9 12:08:24 2018 reduce to 74627801 relations and 55374967 ideals in 6 passes
  321. Sun Dec 9 12:08:24 2018 max relations containing the same ideal: 110
  322. Sun Dec 9 12:08:49 2018 removing 5165909 relations and 3165909 ideals in 2000000 cliques
  323. Sun Dec 9 12:08:51 2018 commencing in-memory singleton removal
  324. Sun Dec 9 12:08:55 2018 begin with 69461892 relations and 55374967 unique ideals
  325. Sun Dec 9 12:09:26 2018 reduce to 69274737 relations and 52017406 ideals in 6 passes
  326. Sun Dec 9 12:09:26 2018 max relations containing the same ideal: 103
  327. Sun Dec 9 12:09:50 2018 removing 5130998 relations and 3130998 ideals in 2000000 cliques
  328. Sun Dec 9 12:09:52 2018 commencing in-memory singleton removal
  329. Sun Dec 9 12:09:56 2018 begin with 64143739 relations and 52017406 unique ideals
  330. Sun Dec 9 12:10:19 2018 reduce to 63948430 relations and 48686183 ideals in 5 passes
  331. Sun Dec 9 12:10:19 2018 max relations containing the same ideal: 98
  332. Sun Dec 9 12:10:41 2018 removing 5105458 relations and 3105458 ideals in 2000000 cliques
  333. Sun Dec 9 12:10:43 2018 commencing in-memory singleton removal
  334. Sun Dec 9 12:10:46 2018 begin with 58842972 relations and 48686183 unique ideals
  335. Sun Dec 9 12:11:17 2018 reduce to 58636937 relations and 45369073 ideals in 7 passes
  336. Sun Dec 9 12:11:17 2018 max relations containing the same ideal: 92
  337. Sun Dec 9 12:11:37 2018 removing 5079865 relations and 3079865 ideals in 2000000 cliques
  338. Sun Dec 9 12:11:38 2018 commencing in-memory singleton removal
  339. Sun Dec 9 12:11:41 2018 begin with 53557072 relations and 45369073 unique ideals
  340. Sun Dec 9 12:12:05 2018 reduce to 53335951 relations and 42061582 ideals in 6 passes
  341. Sun Dec 9 12:12:05 2018 max relations containing the same ideal: 86
  342. Sun Dec 9 12:12:23 2018 removing 5062368 relations and 3062368 ideals in 2000000 cliques
  343. Sun Dec 9 12:12:24 2018 commencing in-memory singleton removal
  344. Sun Dec 9 12:12:27 2018 begin with 48273583 relations and 42061582 unique ideals
  345. Sun Dec 9 12:12:44 2018 reduce to 48030603 relations and 38748634 ideals in 5 passes
  346. Sun Dec 9 12:12:44 2018 max relations containing the same ideal: 80
  347. Sun Dec 9 12:13:01 2018 removing 5057044 relations and 3057044 ideals in 2000000 cliques
  348. Sun Dec 9 12:13:02 2018 commencing in-memory singleton removal
  349. Sun Dec 9 12:13:04 2018 begin with 42973559 relations and 38748634 unique ideals
  350. Sun Dec 9 12:13:23 2018 reduce to 42699813 relations and 35408489 ideals in 6 passes
  351. Sun Dec 9 12:13:23 2018 max relations containing the same ideal: 75
  352. Sun Dec 9 12:13:37 2018 removing 5065765 relations and 3065765 ideals in 2000000 cliques
  353. Sun Dec 9 12:13:38 2018 commencing in-memory singleton removal
  354. Sun Dec 9 12:13:41 2018 begin with 37634048 relations and 35408489 unique ideals
  355. Sun Dec 9 12:13:59 2018 reduce to 37312566 relations and 32008824 ideals in 7 passes
  356. Sun Dec 9 12:13:59 2018 max relations containing the same ideal: 68
  357. Sun Dec 9 12:14:11 2018 removing 5099605 relations and 3099605 ideals in 2000000 cliques
  358. Sun Dec 9 12:14:13 2018 commencing in-memory singleton removal
  359. Sun Dec 9 12:14:15 2018 begin with 32212961 relations and 32008824 unique ideals
  360. Sun Dec 9 12:14:28 2018 reduce to 31815582 relations and 28494523 ideals in 6 passes
  361. Sun Dec 9 12:14:28 2018 max relations containing the same ideal: 63
  362. Sun Dec 9 12:14:39 2018 removing 5182033 relations and 3182033 ideals in 2000000 cliques
  363. Sun Dec 9 12:14:40 2018 commencing in-memory singleton removal
  364. Sun Dec 9 12:14:42 2018 begin with 26633549 relations and 28494523 unique ideals
  365. Sun Dec 9 12:14:56 2018 reduce to 26099235 relations and 24750517 ideals in 8 passes
  366. Sun Dec 9 12:14:56 2018 max relations containing the same ideal: 54
  367. Sun Dec 9 12:15:05 2018 removing 203456 relations and 162851 ideals in 40605 cliques
  368. Sun Dec 9 12:15:06 2018 commencing in-memory singleton removal
  369. Sun Dec 9 12:15:07 2018 begin with 25895779 relations and 24750517 unique ideals
  370. Sun Dec 9 12:15:16 2018 reduce to 25894072 relations and 24585953 ideals in 5 passes
  371. Sun Dec 9 12:15:16 2018 max relations containing the same ideal: 54
  372. Sun Dec 9 12:15:18 2018 relations with 0 large ideals: 83603
  373. Sun Dec 9 12:15:18 2018 relations with 1 large ideals: 45126
  374. Sun Dec 9 12:15:18 2018 relations with 2 large ideals: 469891
  375. Sun Dec 9 12:15:18 2018 relations with 3 large ideals: 2119780
  376. Sun Dec 9 12:15:18 2018 relations with 4 large ideals: 5078856
  377. Sun Dec 9 12:15:18 2018 relations with 5 large ideals: 7749076
  378. Sun Dec 9 12:15:18 2018 relations with 6 large ideals: 5838447
  379. Sun Dec 9 12:15:18 2018 relations with 7+ large ideals: 4509293
  380. Sun Dec 9 12:15:18 2018 commencing 2-way merge
  381. Sun Dec 9 12:15:31 2018 reduce to 18712816 relation sets and 17404697 unique ideals
  382. Sun Dec 9 12:15:31 2018 commencing full merge
  383. Sun Dec 9 12:20:34 2018 memory use: 1996.8 MB
  384. Sun Dec 9 12:20:38 2018 found 8037078 cycles, need 7974897
  385. Sun Dec 9 12:20:38 2018 weight of 7974897 cycles is about 957732657 (120.09/cycle)
  386. Sun Dec 9 12:20:38 2018 distribution of cycle lengths:
  387. Sun Dec 9 12:20:38 2018 1 relations: 224138
  388. Sun Dec 9 12:20:38 2018 2 relations: 326066
  389. Sun Dec 9 12:20:38 2018 3 relations: 451919
  390. Sun Dec 9 12:20:38 2018 4 relations: 522877
  391. Sun Dec 9 12:20:38 2018 5 relations: 571913
  392. Sun Dec 9 12:20:38 2018 6 relations: 594526
  393. Sun Dec 9 12:20:38 2018 7 relations: 595966
  394. Sun Dec 9 12:20:38 2018 8 relations: 581171
  395. Sun Dec 9 12:20:38 2018 9 relations: 547017
  396. Sun Dec 9 12:20:38 2018 10+ relations: 3559304
  397. Sun Dec 9 12:20:38 2018 heaviest cycle: 28 relations
  398. Sun Dec 9 12:20:41 2018 commencing cycle optimization
  399. Sun Dec 9 12:20:58 2018 start with 76599501 relations
  400. Sun Dec 9 12:24:07 2018 pruned 4790531 relations
  401. Sun Dec 9 12:24:07 2018 memory use: 1852.8 MB
  402. Sun Dec 9 12:24:08 2018 distribution of cycle lengths:
  403. Sun Dec 9 12:24:08 2018 1 relations: 224138
  404. Sun Dec 9 12:24:08 2018 2 relations: 335937
  405. Sun Dec 9 12:24:08 2018 3 relations: 475678
  406. Sun Dec 9 12:24:08 2018 4 relations: 553452
  407. Sun Dec 9 12:24:08 2018 5 relations: 614001
  408. Sun Dec 9 12:24:08 2018 6 relations: 639682
  409. Sun Dec 9 12:24:08 2018 7 relations: 644858
  410. Sun Dec 9 12:24:08 2018 8 relations: 625871
  411. Sun Dec 9 12:24:08 2018 9 relations: 588199
  412. Sun Dec 9 12:24:08 2018 10+ relations: 3273081
  413. Sun Dec 9 12:24:08 2018 heaviest cycle: 28 relations
  414. Sun Dec 9 12:24:25 2018 RelProcTime: 4805
  415. Sun Dec 9 12:24:25 2018
  416. Sun Dec 9 12:24:25 2018 commencing linear algebra
  417. Sun Dec 9 12:24:26 2018 read 7974897 cycles
  418. Sun Dec 9 12:24:44 2018 cycles contain 25340866 unique relations
  419. Sun Dec 9 12:26:15 2018 read 25340866 relations
  420. Sun Dec 9 12:27:03 2018 using 20 quadratic characters above 4294917295
  421. Sun Dec 9 12:28:26 2018 building initial matrix
  422. Sun Dec 9 12:32:15 2018 memory use: 3248.7 MB
  423. Sun Dec 9 12:32:21 2018 read 7974897 cycles
  424. Sun Dec 9 12:32:22 2018 matrix is 7974720 x 7974897 (3708.1 MB) with weight 1055212158 (132.32/col)
  425. Sun Dec 9 12:32:22 2018 sparse part has weight 884323445 (110.89/col)
  426. Sun Dec 9 12:33:43 2018 filtering completed in 2 passes
  427. Sun Dec 9 12:33:44 2018 matrix is 7974470 x 7974647 (3708.0 MB) with weight 1055201511 (132.32/col)
  428. Sun Dec 9 12:33:44 2018 sparse part has weight 884318265 (110.89/col)
  429. Sun Dec 9 12:34:09 2018 matrix starts at (0, 0)
  430. Sun Dec 9 12:34:10 2018 matrix is 7974470 x 7974647 (3708.0 MB) with weight 1055201511 (132.32/col)
  431. Sun Dec 9 12:34:10 2018 sparse part has weight 884318265 (110.89/col)
  432. Sun Dec 9 12:34:10 2018 saving the first 48 matrix rows for later
  433. Sun Dec 9 12:34:11 2018 matrix includes 64 packed rows
  434. Sun Dec 9 12:34:12 2018 matrix is 7974422 x 7974647 (3542.8 MB) with weight 908435859 (113.92/col)
  435. Sun Dec 9 12:34:12 2018 sparse part has weight 848989695 (106.46/col)
  436. Sun Dec 9 12:34:12 2018 using block size 8192 and superblock size 1351680 for processor cache size 14080 kB
  437. Sun Dec 9 12:34:45 2018 commencing Lanczos iteration (8 threads)
  438. Sun Dec 9 12:34:45 2018 memory use: 3014.1 MB
  439. Sun Dec 9 12:35:00 2018 linear algebra at 0.0%, ETA 20h25m
  440. Sun Dec 9 12:35:05 2018 checkpointing every 390000 dimensions
  441. Mon Dec 10 09:36:56 2018 lanczos halted after 126110 iterations (dim = 7974416)
  442. Mon Dec 10 09:37:04 2018 recovered 35 nontrivial dependencies
  443. Mon Dec 10 09:37:05 2018 BLanczosTime: 76360
  444. Mon Dec 10 09:37:05 2018
  445. Mon Dec 10 09:37:05 2018 commencing square root phase
  446. Mon Dec 10 09:37:05 2018 handling dependencies 1 to 64
  447. Mon Dec 10 09:37:05 2018 reading relations for dependency 1
  448. Mon Dec 10 09:37:06 2018 read 3986189 cycles
  449. Mon Dec 10 09:37:15 2018 cycles contain 12672616 unique relations
  450. Mon Dec 10 09:38:05 2018 read 12672616 relations
  451. Mon Dec 10 09:38:52 2018 multiplying 12672616 relations
  452. Mon Dec 10 09:42:07 2018 multiply complete, coefficients have about 363.32 million bits
  453. Mon Dec 10 09:42:08 2018 warning: no irreducible prime found, switching to small primes
  454. Mon Dec 10 09:42:08 2018 initial square root is modulo 53
  455. Mon Dec 10 09:45:56 2018 GCD is 1, no factor found
  456. Mon Dec 10 09:45:56 2018 reading relations for dependency 2
  457. Mon Dec 10 09:45:57 2018 read 3985691 cycles
  458. Mon Dec 10 09:46:05 2018 cycles contain 12663864 unique relations
  459. Mon Dec 10 09:46:55 2018 read 12663864 relations
  460. Mon Dec 10 09:47:42 2018 multiplying 12663864 relations
  461. Mon Dec 10 09:50:57 2018 multiply complete, coefficients have about 363.08 million bits
  462. Mon Dec 10 09:50:57 2018 warning: no irreducible prime found, switching to small primes
  463. Mon Dec 10 09:50:58 2018 initial square root is modulo 53
  464. Mon Dec 10 09:54:44 2018 sqrtTime: 1059
  465. Mon Dec 10 09:54:44 2018 p81 factor: 219393625376362050887135523260832569472500048200140969613070306199384780689167621
  466. Mon Dec 10 09:54:44 2018 p108 factor: 204380301759806000385395479852002532822797810979551903427186277331077134164857416360555871649418084583902657
  467. Mon Dec 10 09:54:44 2018 elapsed time 22:50:26
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