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5p2_407

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Aug 7th, 2021
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  1. Thu Aug 5 07:09:29 2021
  2. Thu Aug 5 07:09:29 2021
  3. Thu Aug 5 07:09:29 2021 Msieve v. 1.54 (SVN 1040M)
  4. Thu Aug 5 07:09:29 2021 random seeds: f35c0778 7328b775
  5. Thu Aug 5 07:09:29 2021 factoring 44295839550526829399342125637018722566745545419234144149947019453459837554021918014263710537551308724716046921851269264324310057595472865099068853141838273832325314915070950874610226559085283413333813 (200 digits)
  6. Thu Aug 5 07:09:30 2021 searching for 15-digit factors
  7. Thu Aug 5 07:09:30 2021 commencing number field sieve (200-digit input)
  8. Thu Aug 5 07:09:30 2021 R0: 5293955920339377119177015629266651728752676090620409
  9. Thu Aug 5 07:09:30 2021 R1: -10000000000000000000000000000000000000
  10. Thu Aug 5 07:09:30 2021 A0: -1
  11. Thu Aug 5 07:09:30 2021 A1: 3
  12. Thu Aug 5 07:09:30 2021 A2: 3
  13. Thu Aug 5 07:09:30 2021 A3: -4
  14. Thu Aug 5 07:09:30 2021 A4: -1
  15. Thu Aug 5 07:09:30 2021 A5: 1
  16. Thu Aug 5 07:09:30 2021 skew 1.00, size 1.460e-17, alpha 2.379, combined = 5.470e-14 rroots = 5
  17. Thu Aug 5 07:09:30 2021
  18. Thu Aug 5 07:09:30 2021 commencing relation filtering
  19. Thu Aug 5 07:09:30 2021 setting target matrix density to 124.0
  20. Thu Aug 5 07:09:30 2021 estimated available RAM is 32768.0 MB
  21. Thu Aug 5 07:09:30 2021 commencing duplicate removal, pass 1
  22. Thu Aug 5 07:15:30 2021 error -15 reading relation 53369602
  23. Thu Aug 5 07:18:32 2021 error -15 reading relation 83306470
  24. Thu Aug 5 07:20:05 2021 error -15 reading relation 98533709
  25. Thu Aug 5 07:24:37 2021 error -11 reading relation 143080048
  26. Thu Aug 5 07:27:38 2021 error -15 reading relation 172602700
  27. Thu Aug 5 07:28:26 2021 error -1 reading relation 180508608
  28. Thu Aug 5 07:29:43 2021 error -1 reading relation 193062904
  29. Thu Aug 5 07:30:23 2021 skipped 2128 relations with b > 2^32
  30. Thu Aug 5 07:30:23 2021 found 8720822 hash collisions in 199526852 relations
  31. Thu Aug 5 07:30:28 2021 added 2926300 free relations
  32. Thu Aug 5 07:30:29 2021 commencing duplicate removal, pass 2
  33. Thu Aug 5 07:31:14 2021 found 0 duplicates and 202453152 unique relations
  34. Thu Aug 5 07:31:14 2021 memory use: 522.4 MB
  35. Thu Aug 5 07:31:14 2021 reading ideals above 194838528
  36. Thu Aug 5 07:31:14 2021 commencing singleton removal, initial pass
  37. Thu Aug 5 07:45:41 2021 memory use: 3012.0 MB
  38. Thu Aug 5 07:45:41 2021 reading all ideals from disk
  39. Thu Aug 5 07:47:04 2021 memory use: 3530.8 MB
  40. Thu Aug 5 07:47:11 2021 commencing in-memory singleton removal
  41. Thu Aug 5 07:47:17 2021 begin with 202453152 relations and 160461014 unique ideals
  42. Thu Aug 5 07:48:16 2021 reduce to 143268776 relations and 96156248 ideals in 12 passes
  43. Thu Aug 5 07:48:16 2021 max relations containing the same ideal: 41
  44. Thu Aug 5 07:48:33 2021 reading ideals above 720000
  45. Thu Aug 5 07:48:33 2021 commencing singleton removal, initial pass
  46. Thu Aug 5 08:02:45 2021 memory use: 3012.0 MB
  47. Thu Aug 5 08:02:46 2021 reading all ideals from disk
  48. Thu Aug 5 08:05:08 2021 memory use: 5930.5 MB
  49. Thu Aug 5 08:05:20 2021 keeping 117025590 ideals with weight <= 200, target excess is 747363
  50. Thu Aug 5 08:05:34 2021 commencing in-memory singleton removal
  51. Thu Aug 5 08:05:44 2021 begin with 143268776 relations and 117025590 unique ideals
  52. Thu Aug 5 08:06:41 2021 reduce to 143264514 relations and 117021316 ideals in 6 passes
  53. Thu Aug 5 08:06:41 2021 max relations containing the same ideal: 200
  54. Thu Aug 5 08:07:36 2021 removing 10467508 relations and 8467508 ideals in 2000000 cliques
  55. Thu Aug 5 08:07:40 2021 commencing in-memory singleton removal
  56. Thu Aug 5 08:07:50 2021 begin with 132797006 relations and 117021316 unique ideals
  57. Thu Aug 5 08:09:01 2021 reduce to 132186152 relations and 107931781 ideals in 8 passes
  58. Thu Aug 5 08:09:01 2021 max relations containing the same ideal: 198
  59. Thu Aug 5 08:09:52 2021 removing 8071306 relations and 6071306 ideals in 2000000 cliques
  60. Thu Aug 5 08:09:56 2021 commencing in-memory singleton removal
  61. Thu Aug 5 08:10:05 2021 begin with 124114846 relations and 107931781 unique ideals
  62. Thu Aug 5 08:11:11 2021 reduce to 123702875 relations and 101441920 ideals in 8 passes
  63. Thu Aug 5 08:11:11 2021 max relations containing the same ideal: 191
  64. Thu Aug 5 08:11:59 2021 removing 7361787 relations and 5361787 ideals in 2000000 cliques
  65. Thu Aug 5 08:12:03 2021 commencing in-memory singleton removal
  66. Thu Aug 5 08:12:11 2021 begin with 116341088 relations and 101441920 unique ideals
  67. Thu Aug 5 08:13:13 2021 reduce to 115976469 relations and 95709780 ideals in 8 passes
  68. Thu Aug 5 08:13:13 2021 max relations containing the same ideal: 185
  69. Thu Aug 5 08:13:58 2021 removing 7004745 relations and 5004745 ideals in 2000000 cliques
  70. Thu Aug 5 08:14:01 2021 commencing in-memory singleton removal
  71. Thu Aug 5 08:14:09 2021 begin with 108971724 relations and 95709780 unique ideals
  72. Thu Aug 5 08:14:59 2021 reduce to 108624438 relations and 90352273 ideals in 7 passes
  73. Thu Aug 5 08:14:59 2021 max relations containing the same ideal: 178
  74. Thu Aug 5 08:15:42 2021 removing 6796741 relations and 4796741 ideals in 2000000 cliques
  75. Thu Aug 5 08:15:45 2021 commencing in-memory singleton removal
  76. Thu Aug 5 08:15:53 2021 begin with 101827697 relations and 90352273 unique ideals
  77. Thu Aug 5 08:16:39 2021 reduce to 101486126 relations and 85208190 ideals in 7 passes
  78. Thu Aug 5 08:16:39 2021 max relations containing the same ideal: 171
  79. Thu Aug 5 08:17:19 2021 removing 6660118 relations and 4660118 ideals in 2000000 cliques
  80. Thu Aug 5 08:17:22 2021 commencing in-memory singleton removal
  81. Thu Aug 5 08:17:29 2021 begin with 94826008 relations and 85208190 unique ideals
  82. Thu Aug 5 08:18:12 2021 reduce to 94479918 relations and 80195856 ideals in 7 passes
  83. Thu Aug 5 08:18:12 2021 max relations containing the same ideal: 162
  84. Thu Aug 5 08:18:50 2021 removing 6580087 relations and 4580087 ideals in 2000000 cliques
  85. Thu Aug 5 08:18:53 2021 commencing in-memory singleton removal
  86. Thu Aug 5 08:18:59 2021 begin with 87899831 relations and 80195856 unique ideals
  87. Thu Aug 5 08:19:39 2021 reduce to 87540049 relations and 75249335 ideals in 7 passes
  88. Thu Aug 5 08:19:39 2021 max relations containing the same ideal: 154
  89. Thu Aug 5 08:20:14 2021 removing 6537797 relations and 4537797 ideals in 2000000 cliques
  90. Thu Aug 5 08:20:17 2021 commencing in-memory singleton removal
  91. Thu Aug 5 08:20:22 2021 begin with 81002252 relations and 75249335 unique ideals
  92. Thu Aug 5 08:20:59 2021 reduce to 80626112 relations and 70327861 ideals in 7 passes
  93. Thu Aug 5 08:20:59 2021 max relations containing the same ideal: 148
  94. Thu Aug 5 08:21:31 2021 removing 6525870 relations and 4525870 ideals in 2000000 cliques
  95. Thu Aug 5 08:21:33 2021 commencing in-memory singleton removal
  96. Thu Aug 5 08:21:38 2021 begin with 74100242 relations and 70327861 unique ideals
  97. Thu Aug 5 08:22:11 2021 reduce to 73694956 relations and 65387773 ideals in 7 passes
  98. Thu Aug 5 08:22:11 2021 max relations containing the same ideal: 137
  99. Thu Aug 5 08:22:41 2021 removing 6542103 relations and 4542103 ideals in 2000000 cliques
  100. Thu Aug 5 08:22:44 2021 commencing in-memory singleton removal
  101. Thu Aug 5 08:22:48 2021 begin with 67152853 relations and 65387773 unique ideals
  102. Thu Aug 5 08:23:17 2021 reduce to 66709373 relations and 60391927 ideals in 7 passes
  103. Thu Aug 5 08:23:17 2021 max relations containing the same ideal: 128
  104. Thu Aug 5 08:23:45 2021 removing 6584520 relations and 4584520 ideals in 2000000 cliques
  105. Thu Aug 5 08:23:47 2021 commencing in-memory singleton removal
  106. Thu Aug 5 08:23:51 2021 begin with 60124853 relations and 60391927 unique ideals
  107. Thu Aug 5 08:24:18 2021 reduce to 59630741 relations and 55300442 ideals in 7 passes
  108. Thu Aug 5 08:24:18 2021 max relations containing the same ideal: 116
  109. Thu Aug 5 08:24:42 2021 removing 6653833 relations and 4653833 ideals in 2000000 cliques
  110. Thu Aug 5 08:24:44 2021 commencing in-memory singleton removal
  111. Thu Aug 5 08:24:48 2021 begin with 52976908 relations and 55300442 unique ideals
  112. Thu Aug 5 08:25:14 2021 reduce to 52411179 relations and 50064686 ideals in 8 passes
  113. Thu Aug 5 08:25:14 2021 max relations containing the same ideal: 110
  114. Thu Aug 5 08:25:36 2021 removing 5292837 relations and 3813286 ideals in 1479551 cliques
  115. Thu Aug 5 08:25:37 2021 commencing in-memory singleton removal
  116. Thu Aug 5 08:25:41 2021 begin with 47118342 relations and 50064686 unique ideals
  117. Thu Aug 5 08:26:01 2021 reduce to 46706667 relations and 45829561 ideals in 7 passes
  118. Thu Aug 5 08:26:01 2021 max relations containing the same ideal: 100
  119. Thu Aug 5 08:26:21 2021 removing 76606 relations and 66442 ideals in 10164 cliques
  120. Thu Aug 5 08:26:22 2021 commencing in-memory singleton removal
  121. Thu Aug 5 08:26:25 2021 begin with 46630061 relations and 45829561 unique ideals
  122. Thu Aug 5 08:26:33 2021 reduce to 46629988 relations and 45763046 ideals in 3 passes
  123. Thu Aug 5 08:26:33 2021 max relations containing the same ideal: 100
  124. Thu Aug 5 08:26:40 2021 relations with 0 large ideals: 59412
  125. Thu Aug 5 08:26:40 2021 relations with 1 large ideals: 6661
  126. Thu Aug 5 08:26:40 2021 relations with 2 large ideals: 74874
  127. Thu Aug 5 08:26:40 2021 relations with 3 large ideals: 579851
  128. Thu Aug 5 08:26:40 2021 relations with 4 large ideals: 2509664
  129. Thu Aug 5 08:26:40 2021 relations with 5 large ideals: 6592723
  130. Thu Aug 5 08:26:40 2021 relations with 6 large ideals: 12569601
  131. Thu Aug 5 08:26:40 2021 relations with 7+ large ideals: 24237202
  132. Thu Aug 5 08:26:40 2021 commencing 2-way merge
  133. Thu Aug 5 08:27:08 2021 reduce to 31441852 relation sets and 30574910 unique ideals
  134. Thu Aug 5 08:27:08 2021 commencing full merge
  135. Thu Aug 5 08:49:26 2021 memory use: 1413.8 MB
  136. Thu Aug 5 08:49:26 2021 found 102275 cycles, need 6611563
  137. Thu Aug 5 08:49:26 2021 too few cycles, matrix probably cannot build
  138. Thu Aug 5 08:49:26 2021 filtering wants 1000000 more relations
  139. Thu Aug 5 08:49:26 2021 elapsed time 01:39:57
  140. Thu Aug 5 18:07:04 2021
  141. Thu Aug 5 18:07:04 2021
  142. Thu Aug 5 18:07:04 2021 Msieve v. 1.54 (SVN 1040M)
  143. Thu Aug 5 18:07:04 2021 random seeds: 76f1cee4 0cc93b86
  144. Thu Aug 5 18:07:04 2021 factoring 44295839550526829399342125637018722566745545419234144149947019453459837554021918014263710537551308724716046921851269264324310057595472865099068853141838273832325314915070950874610226559085283413333813 (200 digits)
  145. Thu Aug 5 18:07:04 2021 searching for 15-digit factors
  146. Thu Aug 5 18:07:04 2021 commencing number field sieve (200-digit input)
  147. Thu Aug 5 18:07:04 2021 R0: 5293955920339377119177015629266651728752676090620409
  148. Thu Aug 5 18:07:04 2021 R1: -10000000000000000000000000000000000000
  149. Thu Aug 5 18:07:04 2021 A0: -1
  150. Thu Aug 5 18:07:04 2021 A1: 3
  151. Thu Aug 5 18:07:04 2021 A2: 3
  152. Thu Aug 5 18:07:04 2021 A3: -4
  153. Thu Aug 5 18:07:04 2021 A4: -1
  154. Thu Aug 5 18:07:04 2021 A5: 1
  155. Thu Aug 5 18:07:04 2021 skew 1.00, size 1.460e-17, alpha 2.379, combined = 5.470e-14 rroots = 5
  156. Thu Aug 5 18:07:04 2021
  157. Thu Aug 5 18:07:04 2021 commencing relation filtering
  158. Thu Aug 5 18:07:04 2021 setting target matrix density to 120.0
  159. Thu Aug 5 18:07:04 2021 estimated available RAM is 32768.0 MB
  160. Thu Aug 5 18:07:04 2021 commencing duplicate removal, pass 1
  161. Thu Aug 5 18:12:29 2021 error -15 reading relation 53369602
  162. Thu Aug 5 18:15:30 2021 error -15 reading relation 83306470
  163. Thu Aug 5 18:17:03 2021 error -15 reading relation 98533709
  164. Thu Aug 5 18:21:35 2021 error -11 reading relation 143080048
  165. Thu Aug 5 18:24:32 2021 error -15 reading relation 172602700
  166. Thu Aug 5 18:25:19 2021 error -1 reading relation 180508608
  167. Thu Aug 5 18:26:35 2021 error -1 reading relation 193062904
  168. Thu Aug 5 18:27:36 2021 skipped 2128 relations with b > 2^32
  169. Thu Aug 5 18:27:36 2021 found 8968704 hash collisions in 202453152 relations
  170. Thu Aug 5 18:27:37 2021 commencing duplicate removal, pass 2
  171. Thu Aug 5 18:28:22 2021 found 0 duplicates and 202453152 unique relations
  172. Thu Aug 5 18:28:22 2021 memory use: 522.4 MB
  173. Thu Aug 5 18:28:22 2021 reading ideals above 194838528
  174. Thu Aug 5 18:28:22 2021 commencing singleton removal, initial pass
  175. Thu Aug 5 18:42:55 2021 memory use: 3012.0 MB
  176. Thu Aug 5 18:42:55 2021 reading all ideals from disk
  177. Thu Aug 5 18:44:18 2021 memory use: 3530.8 MB
  178. Thu Aug 5 18:44:25 2021 commencing in-memory singleton removal
  179. Thu Aug 5 18:44:32 2021 begin with 202453152 relations and 160461014 unique ideals
  180. Thu Aug 5 18:45:28 2021 reduce to 143268776 relations and 96156248 ideals in 12 passes
  181. Thu Aug 5 18:45:28 2021 max relations containing the same ideal: 41
  182. Thu Aug 5 18:45:45 2021 reading ideals above 720000
  183. Thu Aug 5 18:45:45 2021 commencing singleton removal, initial pass
  184. Thu Aug 5 18:59:37 2021 memory use: 3012.0 MB
  185. Thu Aug 5 18:59:37 2021 reading all ideals from disk
  186. Thu Aug 5 19:01:57 2021 memory use: 5930.5 MB
  187. Thu Aug 5 19:02:09 2021 keeping 117025590 ideals with weight <= 200, target excess is 747363
  188. Thu Aug 5 19:02:23 2021 commencing in-memory singleton removal
  189. Thu Aug 5 19:02:33 2021 begin with 143268776 relations and 117025590 unique ideals
  190. Thu Aug 5 19:03:30 2021 reduce to 143264514 relations and 117021316 ideals in 6 passes
  191. Thu Aug 5 19:03:30 2021 max relations containing the same ideal: 200
  192. Thu Aug 5 19:04:25 2021 removing 10467508 relations and 8467508 ideals in 2000000 cliques
  193. Thu Aug 5 19:04:30 2021 commencing in-memory singleton removal
  194. Thu Aug 5 19:04:39 2021 begin with 132797006 relations and 117021316 unique ideals
  195. Thu Aug 5 19:05:50 2021 reduce to 132186152 relations and 107931781 ideals in 8 passes
  196. Thu Aug 5 19:05:50 2021 max relations containing the same ideal: 198
  197. Thu Aug 5 19:06:41 2021 removing 8071306 relations and 6071306 ideals in 2000000 cliques
  198. Thu Aug 5 19:06:45 2021 commencing in-memory singleton removal
  199. Thu Aug 5 19:06:54 2021 begin with 124114846 relations and 107931781 unique ideals
  200. Thu Aug 5 19:08:00 2021 reduce to 123702875 relations and 101441920 ideals in 8 passes
  201. Thu Aug 5 19:08:00 2021 max relations containing the same ideal: 191
  202. Thu Aug 5 19:08:47 2021 removing 7361787 relations and 5361787 ideals in 2000000 cliques
  203. Thu Aug 5 19:08:50 2021 commencing in-memory singleton removal
  204. Thu Aug 5 19:08:59 2021 begin with 116341088 relations and 101441920 unique ideals
  205. Thu Aug 5 19:10:00 2021 reduce to 115976469 relations and 95709780 ideals in 8 passes
  206. Thu Aug 5 19:10:00 2021 max relations containing the same ideal: 185
  207. Thu Aug 5 19:10:45 2021 removing 7004745 relations and 5004745 ideals in 2000000 cliques
  208. Thu Aug 5 19:10:49 2021 commencing in-memory singleton removal
  209. Thu Aug 5 19:10:56 2021 begin with 108971724 relations and 95709780 unique ideals
  210. Thu Aug 5 19:11:47 2021 reduce to 108624438 relations and 90352273 ideals in 7 passes
  211. Thu Aug 5 19:11:47 2021 max relations containing the same ideal: 178
  212. Thu Aug 5 19:12:30 2021 removing 6796741 relations and 4796741 ideals in 2000000 cliques
  213. Thu Aug 5 19:12:33 2021 commencing in-memory singleton removal
  214. Thu Aug 5 19:12:40 2021 begin with 101827697 relations and 90352273 unique ideals
  215. Thu Aug 5 19:13:26 2021 reduce to 101486126 relations and 85208190 ideals in 7 passes
  216. Thu Aug 5 19:13:26 2021 max relations containing the same ideal: 171
  217. Thu Aug 5 19:14:07 2021 removing 6660118 relations and 4660118 ideals in 2000000 cliques
  218. Thu Aug 5 19:14:10 2021 commencing in-memory singleton removal
  219. Thu Aug 5 19:14:16 2021 begin with 94826008 relations and 85208190 unique ideals
  220. Thu Aug 5 19:14:59 2021 reduce to 94479918 relations and 80195856 ideals in 7 passes
  221. Thu Aug 5 19:14:59 2021 max relations containing the same ideal: 162
  222. Thu Aug 5 19:15:37 2021 removing 6580087 relations and 4580087 ideals in 2000000 cliques
  223. Thu Aug 5 19:15:40 2021 commencing in-memory singleton removal
  224. Thu Aug 5 19:15:46 2021 begin with 87899831 relations and 80195856 unique ideals
  225. Thu Aug 5 19:16:26 2021 reduce to 87540049 relations and 75249335 ideals in 7 passes
  226. Thu Aug 5 19:16:26 2021 max relations containing the same ideal: 154
  227. Thu Aug 5 19:17:00 2021 removing 6537797 relations and 4537797 ideals in 2000000 cliques
  228. Thu Aug 5 19:17:03 2021 commencing in-memory singleton removal
  229. Thu Aug 5 19:17:09 2021 begin with 81002252 relations and 75249335 unique ideals
  230. Thu Aug 5 19:17:45 2021 reduce to 80626112 relations and 70327861 ideals in 7 passes
  231. Thu Aug 5 19:17:45 2021 max relations containing the same ideal: 148
  232. Thu Aug 5 19:18:17 2021 removing 6525870 relations and 4525870 ideals in 2000000 cliques
  233. Thu Aug 5 19:18:19 2021 commencing in-memory singleton removal
  234. Thu Aug 5 19:18:24 2021 begin with 74100242 relations and 70327861 unique ideals
  235. Thu Aug 5 19:18:57 2021 reduce to 73694956 relations and 65387773 ideals in 7 passes
  236. Thu Aug 5 19:18:57 2021 max relations containing the same ideal: 137
  237. Thu Aug 5 19:19:27 2021 removing 6542103 relations and 4542103 ideals in 2000000 cliques
  238. Thu Aug 5 19:19:29 2021 commencing in-memory singleton removal
  239. Thu Aug 5 19:19:34 2021 begin with 67152853 relations and 65387773 unique ideals
  240. Thu Aug 5 19:20:03 2021 reduce to 66709373 relations and 60391927 ideals in 7 passes
  241. Thu Aug 5 19:20:03 2021 max relations containing the same ideal: 128
  242. Thu Aug 5 19:20:30 2021 removing 6584520 relations and 4584520 ideals in 2000000 cliques
  243. Thu Aug 5 19:20:33 2021 commencing in-memory singleton removal
  244. Thu Aug 5 19:20:37 2021 begin with 60124853 relations and 60391927 unique ideals
  245. Thu Aug 5 19:21:03 2021 reduce to 59630741 relations and 55300442 ideals in 7 passes
  246. Thu Aug 5 19:21:03 2021 max relations containing the same ideal: 116
  247. Thu Aug 5 19:21:27 2021 removing 6653833 relations and 4653833 ideals in 2000000 cliques
  248. Thu Aug 5 19:21:30 2021 commencing in-memory singleton removal
  249. Thu Aug 5 19:21:33 2021 begin with 52976908 relations and 55300442 unique ideals
  250. Thu Aug 5 19:21:59 2021 reduce to 52411179 relations and 50064686 ideals in 8 passes
  251. Thu Aug 5 19:21:59 2021 max relations containing the same ideal: 110
  252. Thu Aug 5 19:22:21 2021 removing 5292837 relations and 3813286 ideals in 1479551 cliques
  253. Thu Aug 5 19:22:22 2021 commencing in-memory singleton removal
  254. Thu Aug 5 19:22:25 2021 begin with 47118342 relations and 50064686 unique ideals
  255. Thu Aug 5 19:22:46 2021 reduce to 46706667 relations and 45829561 ideals in 7 passes
  256. Thu Aug 5 19:22:46 2021 max relations containing the same ideal: 100
  257. Thu Aug 5 19:23:05 2021 removing 76606 relations and 66442 ideals in 10164 cliques
  258. Thu Aug 5 19:23:06 2021 commencing in-memory singleton removal
  259. Thu Aug 5 19:23:09 2021 begin with 46630061 relations and 45829561 unique ideals
  260. Thu Aug 5 19:23:18 2021 reduce to 46629988 relations and 45763046 ideals in 3 passes
  261. Thu Aug 5 19:23:18 2021 max relations containing the same ideal: 100
  262. Thu Aug 5 19:23:25 2021 relations with 0 large ideals: 59412
  263. Thu Aug 5 19:23:25 2021 relations with 1 large ideals: 6661
  264. Thu Aug 5 19:23:25 2021 relations with 2 large ideals: 74874
  265. Thu Aug 5 19:23:25 2021 relations with 3 large ideals: 579851
  266. Thu Aug 5 19:23:25 2021 relations with 4 large ideals: 2509664
  267. Thu Aug 5 19:23:25 2021 relations with 5 large ideals: 6592723
  268. Thu Aug 5 19:23:25 2021 relations with 6 large ideals: 12569601
  269. Thu Aug 5 19:23:25 2021 relations with 7+ large ideals: 24237202
  270. Thu Aug 5 19:23:25 2021 commencing 2-way merge
  271. Thu Aug 5 19:23:52 2021 reduce to 31441852 relation sets and 30574910 unique ideals
  272. Thu Aug 5 19:23:53 2021 commencing full merge
  273. Thu Aug 5 19:46:21 2021 memory use: 1413.8 MB
  274. Thu Aug 5 19:46:21 2021 found 102275 cycles, need 6611563
  275. Thu Aug 5 19:46:21 2021 too few cycles, matrix probably cannot build
  276. Thu Aug 5 19:46:21 2021 filtering wants 1000000 more relations
  277. Thu Aug 5 19:46:21 2021 elapsed time 01:39:17
  278. Thu Aug 5 19:52:38 2021
  279. Thu Aug 5 19:52:38 2021
  280. Thu Aug 5 19:52:38 2021 Msieve v. 1.54 (SVN 1040M)
  281. Thu Aug 5 19:52:38 2021 random seeds: 8117fd23 ef7f30ac
  282. Thu Aug 5 19:52:38 2021 factoring 44295839550526829399342125637018722566745545419234144149947019453459837554021918014263710537551308724716046921851269264324310057595472865099068853141838273832325314915070950874610226559085283413333813 (200 digits)
  283. Thu Aug 5 19:52:39 2021 searching for 15-digit factors
  284. Thu Aug 5 19:52:39 2021 commencing number field sieve (200-digit input)
  285. Thu Aug 5 19:52:39 2021 R0: 5293955920339377119177015629266651728752676090620409
  286. Thu Aug 5 19:52:39 2021 R1: -10000000000000000000000000000000000000
  287. Thu Aug 5 19:52:39 2021 A0: -1
  288. Thu Aug 5 19:52:39 2021 A1: 3
  289. Thu Aug 5 19:52:39 2021 A2: 3
  290. Thu Aug 5 19:52:39 2021 A3: -4
  291. Thu Aug 5 19:52:39 2021 A4: -1
  292. Thu Aug 5 19:52:39 2021 A5: 1
  293. Thu Aug 5 19:52:39 2021 skew 1.00, size 1.460e-17, alpha 2.379, combined = 5.470e-14 rroots = 5
  294. Thu Aug 5 19:52:39 2021
  295. Thu Aug 5 19:52:39 2021 commencing relation filtering
  296. Thu Aug 5 19:52:39 2021 setting target matrix density to 116.0
  297. Thu Aug 5 19:52:39 2021 estimated available RAM is 32768.0 MB
  298. Thu Aug 5 19:52:39 2021 commencing duplicate removal, pass 1
  299. Thu Aug 5 19:57:56 2021 error -15 reading relation 53369602
  300. Thu Aug 5 20:00:58 2021 error -15 reading relation 83306470
  301. Thu Aug 5 20:02:30 2021 error -15 reading relation 98533709
  302. Thu Aug 5 20:07:02 2021 error -11 reading relation 143080048
  303. Thu Aug 5 20:10:04 2021 error -15 reading relation 172602700
  304. Thu Aug 5 20:10:52 2021 error -1 reading relation 180508608
  305. Thu Aug 5 20:12:09 2021 error -1 reading relation 193062904
  306. Thu Aug 5 20:13:12 2021 skipped 2128 relations with b > 2^32
  307. Thu Aug 5 20:13:12 2021 found 8968704 hash collisions in 202453152 relations
  308. Thu Aug 5 20:13:12 2021 commencing duplicate removal, pass 2
  309. Thu Aug 5 20:13:58 2021 found 0 duplicates and 202453152 unique relations
  310. Thu Aug 5 20:13:58 2021 memory use: 522.4 MB
  311. Thu Aug 5 20:13:59 2021 reading ideals above 194838528
  312. Thu Aug 5 20:13:59 2021 commencing singleton removal, initial pass
  313. Thu Aug 5 20:28:22 2021 memory use: 3012.0 MB
  314. Thu Aug 5 20:28:22 2021 reading all ideals from disk
  315. Thu Aug 5 20:29:45 2021 memory use: 3530.8 MB
  316. Thu Aug 5 20:29:52 2021 commencing in-memory singleton removal
  317. Thu Aug 5 20:29:58 2021 begin with 202453152 relations and 160461014 unique ideals
  318. Thu Aug 5 20:30:54 2021 reduce to 143268776 relations and 96156248 ideals in 12 passes
  319. Thu Aug 5 20:30:54 2021 max relations containing the same ideal: 41
  320. Thu Aug 5 20:31:11 2021 reading ideals above 720000
  321. Thu Aug 5 20:31:11 2021 commencing singleton removal, initial pass
  322. Thu Aug 5 20:44:58 2021 memory use: 3012.0 MB
  323. Thu Aug 5 20:44:58 2021 reading all ideals from disk
  324. Thu Aug 5 20:47:18 2021 memory use: 5930.5 MB
  325. Thu Aug 5 20:47:30 2021 keeping 117025590 ideals with weight <= 200, target excess is 747363
  326. Thu Aug 5 20:47:44 2021 commencing in-memory singleton removal
  327. Thu Aug 5 20:47:54 2021 begin with 143268776 relations and 117025590 unique ideals
  328. Thu Aug 5 20:48:52 2021 reduce to 143264514 relations and 117021316 ideals in 6 passes
  329. Thu Aug 5 20:48:52 2021 max relations containing the same ideal: 200
  330. Thu Aug 5 20:49:47 2021 removing 10467508 relations and 8467508 ideals in 2000000 cliques
  331. Thu Aug 5 20:49:51 2021 commencing in-memory singleton removal
  332. Thu Aug 5 20:50:01 2021 begin with 132797006 relations and 117021316 unique ideals
  333. Thu Aug 5 20:51:12 2021 reduce to 132186152 relations and 107931781 ideals in 8 passes
  334. Thu Aug 5 20:51:12 2021 max relations containing the same ideal: 198
  335. Thu Aug 5 20:52:03 2021 removing 8071306 relations and 6071306 ideals in 2000000 cliques
  336. Thu Aug 5 20:52:07 2021 commencing in-memory singleton removal
  337. Thu Aug 5 20:52:15 2021 begin with 124114846 relations and 107931781 unique ideals
  338. Thu Aug 5 20:53:21 2021 reduce to 123702875 relations and 101441920 ideals in 8 passes
  339. Thu Aug 5 20:53:21 2021 max relations containing the same ideal: 191
  340. Thu Aug 5 20:54:09 2021 removing 7361787 relations and 5361787 ideals in 2000000 cliques
  341. Thu Aug 5 20:54:13 2021 commencing in-memory singleton removal
  342. Thu Aug 5 20:54:21 2021 begin with 116341088 relations and 101441920 unique ideals
  343. Thu Aug 5 20:55:23 2021 reduce to 115976469 relations and 95709780 ideals in 8 passes
  344. Thu Aug 5 20:55:23 2021 max relations containing the same ideal: 185
  345. Thu Aug 5 20:56:08 2021 removing 7004745 relations and 5004745 ideals in 2000000 cliques
  346. Thu Aug 5 20:56:12 2021 commencing in-memory singleton removal
  347. Thu Aug 5 20:56:19 2021 begin with 108971724 relations and 95709780 unique ideals
  348. Thu Aug 5 20:57:10 2021 reduce to 108624438 relations and 90352273 ideals in 7 passes
  349. Thu Aug 5 20:57:10 2021 max relations containing the same ideal: 178
  350. Thu Aug 5 20:57:52 2021 removing 6796741 relations and 4796741 ideals in 2000000 cliques
  351. Thu Aug 5 20:57:55 2021 commencing in-memory singleton removal
  352. Thu Aug 5 20:58:02 2021 begin with 101827697 relations and 90352273 unique ideals
  353. Thu Aug 5 20:58:49 2021 reduce to 101486126 relations and 85208190 ideals in 7 passes
  354. Thu Aug 5 20:58:49 2021 max relations containing the same ideal: 171
  355. Thu Aug 5 20:59:29 2021 removing 6660118 relations and 4660118 ideals in 2000000 cliques
  356. Thu Aug 5 20:59:32 2021 commencing in-memory singleton removal
  357. Thu Aug 5 20:59:39 2021 begin with 94826008 relations and 85208190 unique ideals
  358. Thu Aug 5 21:00:22 2021 reduce to 94479918 relations and 80195856 ideals in 7 passes
  359. Thu Aug 5 21:00:22 2021 max relations containing the same ideal: 162
  360. Thu Aug 5 21:00:59 2021 removing 6580087 relations and 4580087 ideals in 2000000 cliques
  361. Thu Aug 5 21:01:02 2021 commencing in-memory singleton removal
  362. Thu Aug 5 21:01:08 2021 begin with 87899831 relations and 80195856 unique ideals
  363. Thu Aug 5 21:01:48 2021 reduce to 87540049 relations and 75249335 ideals in 7 passes
  364. Thu Aug 5 21:01:48 2021 max relations containing the same ideal: 154
  365. Thu Aug 5 21:02:23 2021 removing 6537797 relations and 4537797 ideals in 2000000 cliques
  366. Thu Aug 5 21:02:26 2021 commencing in-memory singleton removal
  367. Thu Aug 5 21:02:31 2021 begin with 81002252 relations and 75249335 unique ideals
  368. Thu Aug 5 21:03:07 2021 reduce to 80626112 relations and 70327861 ideals in 7 passes
  369. Thu Aug 5 21:03:07 2021 max relations containing the same ideal: 148
  370. Thu Aug 5 21:03:40 2021 removing 6525870 relations and 4525870 ideals in 2000000 cliques
  371. Thu Aug 5 21:03:42 2021 commencing in-memory singleton removal
  372. Thu Aug 5 21:03:48 2021 begin with 74100242 relations and 70327861 unique ideals
  373. Thu Aug 5 21:04:21 2021 reduce to 73694956 relations and 65387773 ideals in 7 passes
  374. Thu Aug 5 21:04:21 2021 max relations containing the same ideal: 137
  375. Thu Aug 5 21:04:51 2021 removing 6542103 relations and 4542103 ideals in 2000000 cliques
  376. Thu Aug 5 21:04:53 2021 commencing in-memory singleton removal
  377. Thu Aug 5 21:04:58 2021 begin with 67152853 relations and 65387773 unique ideals
  378. Thu Aug 5 21:05:27 2021 reduce to 66709373 relations and 60391927 ideals in 7 passes
  379. Thu Aug 5 21:05:27 2021 max relations containing the same ideal: 128
  380. Thu Aug 5 21:05:54 2021 removing 6584520 relations and 4584520 ideals in 2000000 cliques
  381. Thu Aug 5 21:05:57 2021 commencing in-memory singleton removal
  382. Thu Aug 5 21:06:01 2021 begin with 60124853 relations and 60391927 unique ideals
  383. Thu Aug 5 21:06:27 2021 reduce to 59630741 relations and 55300442 ideals in 7 passes
  384. Thu Aug 5 21:06:27 2021 max relations containing the same ideal: 116
  385. Thu Aug 5 21:06:52 2021 removing 6653833 relations and 4653833 ideals in 2000000 cliques
  386. Thu Aug 5 21:06:54 2021 commencing in-memory singleton removal
  387. Thu Aug 5 21:06:57 2021 begin with 52976908 relations and 55300442 unique ideals
  388. Thu Aug 5 21:07:23 2021 reduce to 52411179 relations and 50064686 ideals in 8 passes
  389. Thu Aug 5 21:07:23 2021 max relations containing the same ideal: 110
  390. Thu Aug 5 21:07:45 2021 removing 5292837 relations and 3813286 ideals in 1479551 cliques
  391. Thu Aug 5 21:07:47 2021 commencing in-memory singleton removal
  392. Thu Aug 5 21:07:50 2021 begin with 47118342 relations and 50064686 unique ideals
  393. Thu Aug 5 21:08:10 2021 reduce to 46706667 relations and 45829561 ideals in 7 passes
  394. Thu Aug 5 21:08:10 2021 max relations containing the same ideal: 100
  395. Thu Aug 5 21:08:30 2021 removing 76606 relations and 66442 ideals in 10164 cliques
  396. Thu Aug 5 21:08:31 2021 commencing in-memory singleton removal
  397. Thu Aug 5 21:08:34 2021 begin with 46630061 relations and 45829561 unique ideals
  398. Thu Aug 5 21:08:42 2021 reduce to 46629988 relations and 45763046 ideals in 3 passes
  399. Thu Aug 5 21:08:42 2021 max relations containing the same ideal: 100
  400. Thu Aug 5 21:08:49 2021 relations with 0 large ideals: 59412
  401. Thu Aug 5 21:08:49 2021 relations with 1 large ideals: 6661
  402. Thu Aug 5 21:08:49 2021 relations with 2 large ideals: 74874
  403. Thu Aug 5 21:08:49 2021 relations with 3 large ideals: 579851
  404. Thu Aug 5 21:08:49 2021 relations with 4 large ideals: 2509664
  405. Thu Aug 5 21:08:49 2021 relations with 5 large ideals: 6592723
  406. Thu Aug 5 21:08:49 2021 relations with 6 large ideals: 12569601
  407. Thu Aug 5 21:08:49 2021 relations with 7+ large ideals: 24237202
  408. Thu Aug 5 21:08:49 2021 commencing 2-way merge
  409. Thu Aug 5 21:09:17 2021 reduce to 31441852 relation sets and 30574910 unique ideals
  410. Thu Aug 5 21:09:17 2021 commencing full merge
  411. Thu Aug 5 21:20:23 2021 memory use: 4231.2 MB
  412. Thu Aug 5 21:20:27 2021 found 14331623 cycles, need 14323110
  413. Thu Aug 5 21:20:27 2021 weight of 14323110 cycles is about 1661958861 (116.03/cycle)
  414. Thu Aug 5 21:20:27 2021 distribution of cycle lengths:
  415. Thu Aug 5 21:20:27 2021 1 relations: 761846
  416. Thu Aug 5 21:20:27 2021 2 relations: 944289
  417. Thu Aug 5 21:20:27 2021 3 relations: 1039601
  418. Thu Aug 5 21:20:27 2021 4 relations: 1052447
  419. Thu Aug 5 21:20:27 2021 5 relations: 1054733
  420. Thu Aug 5 21:20:27 2021 6 relations: 1033338
  421. Thu Aug 5 21:20:27 2021 7 relations: 1000866
  422. Thu Aug 5 21:20:27 2021 8 relations: 954328
  423. Thu Aug 5 21:20:27 2021 9 relations: 893300
  424. Thu Aug 5 21:20:27 2021 10+ relations: 5588362
  425. Thu Aug 5 21:20:27 2021 heaviest cycle: 28 relations
  426. Thu Aug 5 21:20:32 2021 commencing cycle optimization
  427. Thu Aug 5 21:20:54 2021 start with 125372351 relations
  428. Thu Aug 5 21:25:48 2021 pruned 6025511 relations
  429. Thu Aug 5 21:25:48 2021 memory use: 3230.1 MB
  430. Thu Aug 5 21:25:48 2021 distribution of cycle lengths:
  431. Thu Aug 5 21:25:48 2021 1 relations: 761846
  432. Thu Aug 5 21:25:48 2021 2 relations: 964514
  433. Thu Aug 5 21:25:48 2021 3 relations: 1081486
  434. Thu Aug 5 21:25:48 2021 4 relations: 1096328
  435. Thu Aug 5 21:25:48 2021 5 relations: 1108629
  436. Thu Aug 5 21:25:48 2021 6 relations: 1084750
  437. Thu Aug 5 21:25:48 2021 7 relations: 1054571
  438. Thu Aug 5 21:25:48 2021 8 relations: 1002810
  439. Thu Aug 5 21:25:48 2021 9 relations: 937914
  440. Thu Aug 5 21:25:48 2021 10+ relations: 5230262
  441. Thu Aug 5 21:25:48 2021 heaviest cycle: 28 relations
  442. Thu Aug 5 21:26:09 2021 RelProcTime: 5610
  443. Thu Aug 5 21:26:09 2021
  444. Thu Aug 5 21:26:09 2021 commencing linear algebra
  445. Thu Aug 5 21:26:11 2021 read 14323110 cycles
  446. Thu Aug 5 21:26:42 2021 cycles contain 46164348 unique relations
  447. Thu Aug 5 21:34:06 2021 read 46164348 relations
  448. Thu Aug 5 21:35:58 2021 using 20 quadratic characters above 4294917295
  449. Thu Aug 5 21:38:42 2021 building initial matrix
  450. Thu Aug 5 21:46:08 2021 memory use: 5862.3 MB
  451. Thu Aug 5 21:48:48 2021 read 14323110 cycles
  452. Thu Aug 5 21:48:50 2021 matrix is 14322933 x 14323110 (6536.5 MB) with weight 1858168979 (129.73/col)
  453. Thu Aug 5 21:48:50 2021 sparse part has weight 1555940052 (108.63/col)
  454. Thu Aug 5 21:51:18 2021 filtering completed in 2 passes
  455. Thu Aug 5 21:51:20 2021 matrix is 14322828 x 14323005 (6536.5 MB) with weight 1858165991 (129.73/col)
  456. Thu Aug 5 21:51:20 2021 sparse part has weight 1555939350 (108.63/col)
  457. Thu Aug 5 21:54:22 2021 matrix starts at (0, 0)
  458. Thu Aug 5 21:54:24 2021 matrix is 14322828 x 14323005 (6536.5 MB) with weight 1858165991 (129.73/col)
  459. Thu Aug 5 21:54:24 2021 sparse part has weight 1555939350 (108.63/col)
  460. Thu Aug 5 21:54:24 2021 saving the first 48 matrix rows for later
  461. Thu Aug 5 21:54:26 2021 matrix includes 64 packed rows
  462. Thu Aug 5 21:54:27 2021 matrix is 14322780 x 14323005 (6276.5 MB) with weight 1601161290 (111.79/col)
  463. Thu Aug 5 21:54:27 2021 sparse part has weight 1502119117 (104.87/col)
  464. Thu Aug 5 21:54:27 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  465. Thu Aug 5 21:55:17 2021 commencing Lanczos iteration (16 threads)
  466. Thu Aug 5 21:55:17 2021 memory use: 6062.9 MB
  467. Thu Aug 5 21:55:35 2021 linear algebra at 0.0%, ETA 44h34m
  468. Thu Aug 5 21:55:40 2021 checkpointing every 340000 dimensions
  469. Sat Aug 7 17:15:44 2021 lanczos halted after 226491 iterations (dim = 14322775)
  470. Sat Aug 7 17:15:55 2021 recovered 35 nontrivial dependencies
  471. Sat Aug 7 17:16:11 2021 BLanczosTime: 157802
  472. Sat Aug 7 17:16:11 2021
  473. Sat Aug 7 17:16:11 2021 commencing square root phase
  474. Sat Aug 7 17:16:11 2021 handling dependencies 1 to 64
  475. Sat Aug 7 17:16:11 2021 reading relations for dependency 1
  476. Sat Aug 7 17:16:23 2021 read 7162769 cycles
  477. Sat Aug 7 17:16:37 2021 cycles contain 23088352 unique relations
  478. Sat Aug 7 17:25:19 2021 read 23088352 relations
  479. Sat Aug 7 17:26:48 2021 multiplying 23088352 relations
  480. Sat Aug 7 17:35:16 2021 multiply complete, coefficients have about 609.46 million bits
  481. Sat Aug 7 17:35:18 2021 initial square root is modulo 293617
  482. Sat Aug 7 17:45:24 2021 sqrtTime: 1753
  483. Sat Aug 7 17:45:24 2021 p92 factor: 84543959237764757287910084815693252637252308941378532019252576355629261214377161287238895327
  484. Sat Aug 7 17:45:24 2021 p108 factor: 523938551611389606697752639376106522907860762658212846165320854741010969010064314455007625796352367117043819
  485. Sat Aug 7 17:45:24 2021 elapsed time 45:52:46
  486.  
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