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10m9_287

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  1. Mon Mar 11 11:01:59 2019  
  2. Mon Mar 11 11:01:59 2019  
  3. Mon Mar 11 11:01:59 2019  Msieve v. 1.53 (SVN 988M)
  4. Mon Mar 11 11:01:59 2019  random seeds: c3ad3780 624ec403
  5. Mon Mar 11 11:01:59 2019  factoring 186752373366241805972452533113633810889917070869707735334209869179372739824808322772353976421652538886775430031635703852179988681505028225131401560355627038242951608801615450943371926422662584209632515584729 (207 digits)
  6. Mon Mar 11 11:02:00 2019  searching for 15-digit factors
  7. Mon Mar 11 11:02:01 2019  commencing number field sieve (207-digit input)
  8. Mon Mar 11 11:02:01 2019  R0: 100000000000000000000000000000000000000000
  9. Mon Mar 11 11:02:01 2019  R1: -1330279464729113309844748891857449678409
  10. Mon Mar 11 11:02:01 2019  A0: 1
  11. Mon Mar 11 11:02:01 2019  A1: 1
  12. Mon Mar 11 11:02:01 2019  A2: 1
  13. Mon Mar 11 11:02:01 2019  A3: 1
  14. Mon Mar 11 11:02:01 2019  A4: 1
  15. Mon Mar 11 11:02:01 2019  A5: 1
  16. Mon Mar 11 11:02:01 2019  A6: 1
  17. Mon Mar 11 11:02:01 2019  skew 1.00, size 3.752e-12, alpha 2.428, combined = 3.102e-13 rroots = 0
  18. Mon Mar 11 11:02:01 2019  
  19. Mon Mar 11 11:02:01 2019  commencing relation filtering
  20. Mon Mar 11 11:02:01 2019  setting target matrix density to 130.0
  21. Mon Mar 11 11:02:01 2019  estimated available RAM is 32768.0 MB
  22. Mon Mar 11 11:02:01 2019  commencing duplicate removal, pass 1
  23. Mon Mar 11 11:06:42 2019  error -15 reading relation 46519285
  24. [12845 more error lines]
  25. Mon Mar 11 11:20:58 2019  error -15 reading relation 187568316
  26. Mon Mar 11 11:22:52 2019  skipped 144 relations with b > 2^32
  27. Mon Mar 11 11:22:52 2019  skipped 4487 relations with composite factors
  28. Mon Mar 11 11:22:52 2019  found 9314986 hash collisions in 206376676 relations
  29. Mon Mar 11 11:22:58 2019  added 2438534 free relations
  30. Mon Mar 11 11:22:58 2019  commencing duplicate removal, pass 2
  31. Mon Mar 11 11:23:45 2019  found 0 duplicates and 208815210 unique relations
  32. Mon Mar 11 11:23:45 2019  memory use: 522.4 MB
  33. Mon Mar 11 11:23:45 2019  reading ideals above 148832256
  34. Mon Mar 11 11:23:45 2019  commencing singleton removal, initial pass
  35. Mon Mar 11 11:39:04 2019  memory use: 3012.0 MB
  36. Mon Mar 11 11:39:04 2019  reading all ideals from disk
  37. Mon Mar 11 11:39:07 2019  memory use: 3708.0 MB
  38. Mon Mar 11 11:39:14 2019  commencing in-memory singleton removal
  39. Mon Mar 11 11:39:20 2019  begin with 208815210 relations and 162843309 unique ideals
  40. Mon Mar 11 11:40:39 2019  reduce to 146236616 relations and 94662493 ideals in 12 passes
  41. Mon Mar 11 11:40:39 2019  max relations containing the same ideal: 46
  42. Mon Mar 11 11:40:50 2019  reading ideals above 720000
  43. Mon Mar 11 11:40:51 2019  commencing singleton removal, initial pass
  44. Mon Mar 11 11:55:19 2019  memory use: 3012.0 MB
  45. Mon Mar 11 11:55:20 2019  reading all ideals from disk
  46. Mon Mar 11 11:55:23 2019  memory use: 5761.2 MB
  47. Mon Mar 11 11:55:35 2019  keeping 110676606 ideals with weight <= 200, target excess is 750077
  48. Mon Mar 11 11:55:49 2019  commencing in-memory singleton removal
  49. Mon Mar 11 11:55:59 2019  begin with 146236616 relations and 110676606 unique ideals
  50. Mon Mar 11 11:56:43 2019  reduce to 146236418 relations and 110676408 ideals in 4 passes
  51. Mon Mar 11 11:56:43 2019  max relations containing the same ideal: 200
  52. Mon Mar 11 11:57:35 2019  removing 9956318 relations and 7956318 ideals in 2000000 cliques
  53. Mon Mar 11 11:57:39 2019  commencing in-memory singleton removal
  54. Mon Mar 11 11:57:48 2019  begin with 136280100 relations and 110676408 unique ideals
  55. Mon Mar 11 11:59:00 2019  reduce to 135781738 relations and 102213137 ideals in 7 passes
  56. Mon Mar 11 11:59:00 2019  max relations containing the same ideal: 197
  57. Mon Mar 11 11:59:49 2019  removing 7599208 relations and 5599208 ideals in 2000000 cliques
  58. Mon Mar 11 11:59:52 2019  commencing in-memory singleton removal
  59. Mon Mar 11 12:00:01 2019  begin with 128182530 relations and 102213137 unique ideals
  60. Mon Mar 11 12:01:07 2019  reduce to 127848669 relations and 96274969 ideals in 7 passes
  61. Mon Mar 11 12:01:07 2019  max relations containing the same ideal: 191
  62. Mon Mar 11 12:01:54 2019  removing 6908839 relations and 4908839 ideals in 2000000 cliques
  63. Mon Mar 11 12:01:57 2019  commencing in-memory singleton removal
  64. Mon Mar 11 12:02:05 2019  begin with 120939830 relations and 96274969 unique ideals
  65. Mon Mar 11 12:03:08 2019  reduce to 120650441 relations and 91072419 ideals in 7 passes
  66. Mon Mar 11 12:03:08 2019  max relations containing the same ideal: 187
  67. Mon Mar 11 12:03:53 2019  removing 6546164 relations and 4546164 ideals in 2000000 cliques
  68. Mon Mar 11 12:03:55 2019  commencing in-memory singleton removal
  69. Mon Mar 11 12:04:03 2019  begin with 114104277 relations and 91072419 unique ideals
  70. Mon Mar 11 12:05:02 2019  reduce to 113839161 relations and 86257034 ideals in 7 passes
  71. Mon Mar 11 12:05:02 2019  max relations containing the same ideal: 179
  72. Mon Mar 11 12:05:44 2019  removing 6315735 relations and 4315735 ideals in 2000000 cliques
  73. Mon Mar 11 12:05:47 2019  commencing in-memory singleton removal
  74. Mon Mar 11 12:05:54 2019  begin with 107523426 relations and 86257034 unique ideals
  75. Mon Mar 11 12:06:41 2019  reduce to 107272305 relations and 81686238 ideals in 6 passes
  76. Mon Mar 11 12:06:41 2019  max relations containing the same ideal: 172
  77. Mon Mar 11 12:07:21 2019  removing 6152992 relations and 4152992 ideals in 2000000 cliques
  78. Mon Mar 11 12:07:23 2019  commencing in-memory singleton removal
  79. Mon Mar 11 12:07:30 2019  begin with 101119313 relations and 81686238 unique ideals
  80. Mon Mar 11 12:08:15 2019  reduce to 100874575 relations and 77284388 ideals in 6 passes
  81. Mon Mar 11 12:08:15 2019  max relations containing the same ideal: 167
  82. Mon Mar 11 12:08:52 2019  removing 6026921 relations and 4026921 ideals in 2000000 cliques
  83. Mon Mar 11 12:08:54 2019  commencing in-memory singleton removal
  84. Mon Mar 11 12:09:00 2019  begin with 94847654 relations and 77284388 unique ideals
  85. Mon Mar 11 12:09:42 2019  reduce to 94606184 relations and 73011657 ideals in 6 passes
  86. Mon Mar 11 12:09:42 2019  max relations containing the same ideal: 161
  87. Mon Mar 11 12:10:17 2019  removing 5930289 relations and 3930289 ideals in 2000000 cliques
  88. Mon Mar 11 12:10:20 2019  commencing in-memory singleton removal
  89. Mon Mar 11 12:10:26 2019  begin with 88675895 relations and 73011657 unique ideals
  90. Mon Mar 11 12:11:04 2019  reduce to 88434338 relations and 68835217 ideals in 6 passes
  91. Mon Mar 11 12:11:04 2019  max relations containing the same ideal: 152
  92. Mon Mar 11 12:11:37 2019  removing 5853308 relations and 3853308 ideals in 2000000 cliques
  93. Mon Mar 11 12:11:40 2019  commencing in-memory singleton removal
  94. Mon Mar 11 12:11:45 2019  begin with 82581030 relations and 68835217 unique ideals
  95. Mon Mar 11 12:12:21 2019  reduce to 82334988 relations and 64731023 ideals in 6 passes
  96. Mon Mar 11 12:12:21 2019  max relations containing the same ideal: 144
  97. Mon Mar 11 12:12:53 2019  removing 5788763 relations and 3788763 ideals in 2000000 cliques
  98. Mon Mar 11 12:12:55 2019  commencing in-memory singleton removal
  99. Mon Mar 11 12:13:00 2019  begin with 76546225 relations and 64731023 unique ideals
  100. Mon Mar 11 12:13:38 2019  reduce to 76294385 relations and 60685044 ideals in 7 passes
  101. Mon Mar 11 12:13:38 2019  max relations containing the same ideal: 137
  102. Mon Mar 11 12:14:07 2019  removing 5738640 relations and 3738640 ideals in 2000000 cliques
  103. Mon Mar 11 12:14:09 2019  commencing in-memory singleton removal
  104. Mon Mar 11 12:14:13 2019  begin with 70555745 relations and 60685044 unique ideals
  105. Mon Mar 11 12:14:44 2019  reduce to 70294933 relations and 56679644 ideals in 6 passes
  106. Mon Mar 11 12:14:44 2019  max relations containing the same ideal: 131
  107. Mon Mar 11 12:15:10 2019  removing 5695837 relations and 3695837 ideals in 2000000 cliques
  108. Mon Mar 11 12:15:12 2019  commencing in-memory singleton removal
  109. Mon Mar 11 12:15:16 2019  begin with 64599096 relations and 56679644 unique ideals
  110. Mon Mar 11 12:15:48 2019  reduce to 64326456 relations and 52704436 ideals in 7 passes
  111. Mon Mar 11 12:15:48 2019  max relations containing the same ideal: 123
  112. Mon Mar 11 12:16:13 2019  removing 5663081 relations and 3663081 ideals in 2000000 cliques
  113. Mon Mar 11 12:16:15 2019  commencing in-memory singleton removal
  114. Mon Mar 11 12:16:18 2019  begin with 58663375 relations and 52704436 unique ideals
  115. Mon Mar 11 12:16:47 2019  reduce to 58374178 relations and 48744502 ideals in 7 passes
  116. Mon Mar 11 12:16:47 2019  max relations containing the same ideal: 114
  117. Mon Mar 11 12:17:09 2019  removing 5636697 relations and 3636697 ideals in 2000000 cliques
  118. Mon Mar 11 12:17:11 2019  commencing in-memory singleton removal
  119. Mon Mar 11 12:17:15 2019  begin with 52737481 relations and 48744502 unique ideals
  120. Mon Mar 11 12:17:37 2019  reduce to 52421257 relations and 44782448 ideals in 6 passes
  121. Mon Mar 11 12:17:37 2019  max relations containing the same ideal: 109
  122. Mon Mar 11 12:17:57 2019  removing 5624419 relations and 3624419 ideals in 2000000 cliques
  123. Mon Mar 11 12:17:59 2019  commencing in-memory singleton removal
  124. Mon Mar 11 12:18:01 2019  begin with 46796838 relations and 44782448 unique ideals
  125. Mon Mar 11 12:18:21 2019  reduce to 46444974 relations and 40794813 ideals in 6 passes
  126. Mon Mar 11 12:18:21 2019  max relations containing the same ideal: 96
  127. Mon Mar 11 12:18:39 2019  removing 5631170 relations and 3631170 ideals in 2000000 cliques
  128. Mon Mar 11 12:18:40 2019  commencing in-memory singleton removal
  129. Mon Mar 11 12:18:43 2019  begin with 40813804 relations and 40794813 unique ideals
  130. Mon Mar 11 12:19:00 2019  reduce to 40404525 relations and 36739737 ideals in 6 passes
  131. Mon Mar 11 12:19:00 2019  max relations containing the same ideal: 88
  132. Mon Mar 11 12:19:15 2019  removing 5670775 relations and 3670775 ideals in 2000000 cliques
  133. Mon Mar 11 12:19:17 2019  commencing in-memory singleton removal
  134. Mon Mar 11 12:19:19 2019  begin with 34733750 relations and 36739737 unique ideals
  135. Mon Mar 11 12:19:38 2019  reduce to 34226504 relations and 32540408 ideals in 8 passes
  136. Mon Mar 11 12:19:38 2019  max relations containing the same ideal: 80
  137. Mon Mar 11 12:19:51 2019  removing 2738853 relations and 1922847 ideals in 816006 cliques
  138. Mon Mar 11 12:19:52 2019  commencing in-memory singleton removal
  139. Mon Mar 11 12:19:54 2019  begin with 31487651 relations and 32540408 unique ideals
  140. Mon Mar 11 12:20:09 2019  reduce to 31315005 relations and 30441238 ideals in 7 passes
  141. Mon Mar 11 12:20:09 2019  max relations containing the same ideal: 78
  142. Mon Mar 11 12:20:24 2019  relations with 0 large ideals: 57330
  143. Mon Mar 11 12:20:24 2019  relations with 1 large ideals: 15200
  144. Mon Mar 11 12:20:24 2019  relations with 2 large ideals: 176060
  145. Mon Mar 11 12:20:24 2019  relations with 3 large ideals: 1068009
  146. Mon Mar 11 12:20:24 2019  relations with 4 large ideals: 3490571
  147. Mon Mar 11 12:20:24 2019  relations with 5 large ideals: 6786768
  148. Mon Mar 11 12:20:24 2019  relations with 6 large ideals: 8234642
  149. Mon Mar 11 12:20:24 2019  relations with 7+ large ideals: 11486425
  150. Mon Mar 11 12:20:24 2019  commencing 2-way merge
  151. Mon Mar 11 12:20:41 2019  reduce to 21797670 relation sets and 20923903 unique ideals
  152. Mon Mar 11 12:20:41 2019  commencing full merge
  153. Mon Mar 11 12:35:16 2019  memory use: 972.1 MB
  154. Mon Mar 11 12:35:17 2019  found 92998 cycles, need 4731277
  155. Mon Mar 11 12:35:17 2019  too few cycles, matrix probably cannot build
  156. Mon Mar 11 14:02:08 2019  
  157. Mon Mar 11 14:02:09 2019  
  158. Mon Mar 11 14:02:09 2019  Msieve v. 1.53 (SVN 988M)
  159. Mon Mar 11 14:02:09 2019  random seeds: 1a7cd676 85396059
  160. Mon Mar 11 14:02:09 2019  factoring 186752373366241805972452533113633810889917070869707735334209869179372739824808322772353976421652538886775430031635703852179988681505028225131401560355627038242951608801615450943371926422662584209632515584729 (207 digits)
  161. Mon Mar 11 14:02:10 2019  searching for 15-digit factors
  162. Mon Mar 11 14:02:11 2019  commencing number field sieve (207-digit input)
  163. Mon Mar 11 14:02:11 2019  R0: 100000000000000000000000000000000000000000
  164. Mon Mar 11 14:02:11 2019  R1: -1330279464729113309844748891857449678409
  165. Mon Mar 11 14:02:11 2019  A0: 1
  166. Mon Mar 11 14:02:11 2019  A1: 1
  167. Mon Mar 11 14:02:11 2019  A2: 1
  168. Mon Mar 11 14:02:11 2019  A3: 1
  169. Mon Mar 11 14:02:11 2019  A4: 1
  170. Mon Mar 11 14:02:11 2019  A5: 1
  171. Mon Mar 11 14:02:11 2019  A6: 1
  172. Mon Mar 11 14:02:11 2019  skew 1.00, size 3.752e-12, alpha 2.428, combined = 3.102e-13 rroots = 0
  173. Mon Mar 11 14:02:11 2019  
  174. Mon Mar 11 14:02:11 2019  commencing relation filtering
  175. Mon Mar 11 14:02:11 2019  setting target matrix density to 120.0
  176. Mon Mar 11 14:02:11 2019  estimated available RAM is 32768.0 MB
  177. Mon Mar 11 14:02:11 2019  commencing duplicate removal, pass 1
  178. Mon Mar 11 14:06:49 2019  error -15 reading relation 46519285
  179. [12845 more error lines]
  180. Mon Mar 11 14:20:57 2019  error -15 reading relation 187568316
  181. Mon Mar 11 14:23:21 2019  skipped 144 relations with b > 2^32
  182. Mon Mar 11 14:23:21 2019  skipped 4487 relations with composite factors
  183. Mon Mar 11 14:23:21 2019  found 9527835 hash collisions in 208815210 relations
  184. Mon Mar 11 14:23:21 2019  commencing duplicate removal, pass 2
  185. Mon Mar 11 14:24:09 2019  found 0 duplicates and 208815210 unique relations
  186. Mon Mar 11 14:24:09 2019  memory use: 522.4 MB
  187. Mon Mar 11 14:24:09 2019  reading ideals above 148832256
  188. Mon Mar 11 14:24:09 2019  commencing singleton removal, initial pass
  189. Mon Mar 11 14:39:27 2019  memory use: 3012.0 MB
  190. Mon Mar 11 14:39:28 2019  reading all ideals from disk
  191. Mon Mar 11 14:39:30 2019  memory use: 3708.0 MB
  192. Mon Mar 11 14:39:37 2019  commencing in-memory singleton removal
  193. Mon Mar 11 14:39:43 2019  begin with 208815210 relations and 162843309 unique ideals
  194. Mon Mar 11 14:40:58 2019  reduce to 146236616 relations and 94662493 ideals in 12 passes
  195. Mon Mar 11 14:40:58 2019  max relations containing the same ideal: 46
  196. Mon Mar 11 14:41:09 2019  reading ideals above 720000
  197. Mon Mar 11 14:41:10 2019  commencing singleton removal, initial pass
  198. Mon Mar 11 14:55:36 2019  memory use: 3012.0 MB
  199. Mon Mar 11 14:55:36 2019  reading all ideals from disk
  200. Mon Mar 11 14:55:40 2019  memory use: 5761.2 MB
  201. Mon Mar 11 14:55:52 2019  keeping 110676606 ideals with weight <= 200, target excess is 750077
  202. Mon Mar 11 14:56:05 2019  commencing in-memory singleton removal
  203. Mon Mar 11 14:56:15 2019  begin with 146236616 relations and 110676606 unique ideals
  204. Mon Mar 11 14:56:56 2019  reduce to 146236418 relations and 110676408 ideals in 4 passes
  205. Mon Mar 11 14:56:56 2019  max relations containing the same ideal: 200
  206. Mon Mar 11 14:57:47 2019  removing 9956318 relations and 7956318 ideals in 2000000 cliques
  207. Mon Mar 11 14:57:51 2019  commencing in-memory singleton removal
  208. Mon Mar 11 14:58:00 2019  begin with 136280100 relations and 110676408 unique ideals
  209. Mon Mar 11 14:59:07 2019  reduce to 135781738 relations and 102213137 ideals in 7 passes
  210. Mon Mar 11 14:59:07 2019  max relations containing the same ideal: 197
  211. Mon Mar 11 14:59:55 2019  removing 7599208 relations and 5599208 ideals in 2000000 cliques
  212. Mon Mar 11 14:59:58 2019  commencing in-memory singleton removal
  213. Mon Mar 11 15:00:07 2019  begin with 128182530 relations and 102213137 unique ideals
  214. Mon Mar 11 15:01:10 2019  reduce to 127848669 relations and 96274969 ideals in 7 passes
  215. Mon Mar 11 15:01:10 2019  max relations containing the same ideal: 191
  216. Mon Mar 11 15:01:56 2019  removing 6908839 relations and 4908839 ideals in 2000000 cliques
  217. Mon Mar 11 15:01:58 2019  commencing in-memory singleton removal
  218. Mon Mar 11 15:02:06 2019  begin with 120939830 relations and 96274969 unique ideals
  219. Mon Mar 11 15:03:06 2019  reduce to 120650441 relations and 91072419 ideals in 7 passes
  220. Mon Mar 11 15:03:06 2019  max relations containing the same ideal: 187
  221. Mon Mar 11 15:03:48 2019  removing 6546164 relations and 4546164 ideals in 2000000 cliques
  222. Mon Mar 11 15:03:51 2019  commencing in-memory singleton removal
  223. Mon Mar 11 15:03:58 2019  begin with 114104277 relations and 91072419 unique ideals
  224. Mon Mar 11 15:04:54 2019  reduce to 113839161 relations and 86257034 ideals in 7 passes
  225. Mon Mar 11 15:04:54 2019  max relations containing the same ideal: 179
  226. Mon Mar 11 15:05:35 2019  removing 6315735 relations and 4315735 ideals in 2000000 cliques
  227. Mon Mar 11 15:05:37 2019  commencing in-memory singleton removal
  228. Mon Mar 11 15:05:44 2019  begin with 107523426 relations and 86257034 unique ideals
  229. Mon Mar 11 15:06:29 2019  reduce to 107272305 relations and 81686238 ideals in 6 passes
  230. Mon Mar 11 15:06:29 2019  max relations containing the same ideal: 172
  231. Mon Mar 11 15:07:08 2019  removing 6152992 relations and 4152992 ideals in 2000000 cliques
  232. Mon Mar 11 15:07:10 2019  commencing in-memory singleton removal
  233. Mon Mar 11 15:07:17 2019  begin with 101119313 relations and 81686238 unique ideals
  234. Mon Mar 11 15:07:59 2019  reduce to 100874575 relations and 77284388 ideals in 6 passes
  235. Mon Mar 11 15:07:59 2019  max relations containing the same ideal: 167
  236. Mon Mar 11 15:08:35 2019  removing 6026921 relations and 4026921 ideals in 2000000 cliques
  237. Mon Mar 11 15:08:37 2019  commencing in-memory singleton removal
  238. Mon Mar 11 15:08:43 2019  begin with 94847654 relations and 77284388 unique ideals
  239. Mon Mar 11 15:09:23 2019  reduce to 94606184 relations and 73011657 ideals in 6 passes
  240. Mon Mar 11 15:09:23 2019  max relations containing the same ideal: 161
  241. Mon Mar 11 15:09:57 2019  removing 5930289 relations and 3930289 ideals in 2000000 cliques
  242. Mon Mar 11 15:09:59 2019  commencing in-memory singleton removal
  243. Mon Mar 11 15:10:05 2019  begin with 88675895 relations and 73011657 unique ideals
  244. Mon Mar 11 15:10:42 2019  reduce to 88434338 relations and 68835217 ideals in 6 passes
  245. Mon Mar 11 15:10:42 2019  max relations containing the same ideal: 152
  246. Mon Mar 11 15:11:13 2019  removing 5853308 relations and 3853308 ideals in 2000000 cliques
  247. Mon Mar 11 15:11:15 2019  commencing in-memory singleton removal
  248. Mon Mar 11 15:11:21 2019  begin with 82581030 relations and 68835217 unique ideals
  249. Mon Mar 11 15:11:54 2019  reduce to 82334988 relations and 64731023 ideals in 6 passes
  250. Mon Mar 11 15:11:54 2019  max relations containing the same ideal: 144
  251. Mon Mar 11 15:12:24 2019  removing 5788763 relations and 3788763 ideals in 2000000 cliques
  252. Mon Mar 11 15:12:26 2019  commencing in-memory singleton removal
  253. Mon Mar 11 15:12:31 2019  begin with 76546225 relations and 64731023 unique ideals
  254. Mon Mar 11 15:13:07 2019  reduce to 76294385 relations and 60685044 ideals in 7 passes
  255. Mon Mar 11 15:13:07 2019  max relations containing the same ideal: 137
  256. Mon Mar 11 15:13:35 2019  removing 5738640 relations and 3738640 ideals in 2000000 cliques
  257. Mon Mar 11 15:13:37 2019  commencing in-memory singleton removal
  258. Mon Mar 11 15:13:41 2019  begin with 70555745 relations and 60685044 unique ideals
  259. Mon Mar 11 15:14:10 2019  reduce to 70294933 relations and 56679644 ideals in 6 passes
  260. Mon Mar 11 15:14:10 2019  max relations containing the same ideal: 131
  261. Mon Mar 11 15:14:36 2019  removing 5695837 relations and 3695837 ideals in 2000000 cliques
  262. Mon Mar 11 15:14:38 2019  commencing in-memory singleton removal
  263. Mon Mar 11 15:14:42 2019  begin with 64599096 relations and 56679644 unique ideals
  264. Mon Mar 11 15:15:12 2019  reduce to 64326456 relations and 52704436 ideals in 7 passes
  265. Mon Mar 11 15:15:12 2019  max relations containing the same ideal: 123
  266. Mon Mar 11 15:15:35 2019  removing 5663081 relations and 3663081 ideals in 2000000 cliques
  267. Mon Mar 11 15:15:37 2019  commencing in-memory singleton removal
  268. Mon Mar 11 15:15:41 2019  begin with 58663375 relations and 52704436 unique ideals
  269. Mon Mar 11 15:16:08 2019  reduce to 58374178 relations and 48744502 ideals in 7 passes
  270. Mon Mar 11 15:16:08 2019  max relations containing the same ideal: 114
  271. Mon Mar 11 15:16:29 2019  removing 5636697 relations and 3636697 ideals in 2000000 cliques
  272. Mon Mar 11 15:16:31 2019  commencing in-memory singleton removal
  273. Mon Mar 11 15:16:34 2019  begin with 52737481 relations and 48744502 unique ideals
  274. Mon Mar 11 15:16:55 2019  reduce to 52421257 relations and 44782448 ideals in 6 passes
  275. Mon Mar 11 15:16:55 2019  max relations containing the same ideal: 109
  276. Mon Mar 11 15:17:14 2019  removing 5624419 relations and 3624419 ideals in 2000000 cliques
  277. Mon Mar 11 15:17:16 2019  commencing in-memory singleton removal
  278. Mon Mar 11 15:17:19 2019  begin with 46796838 relations and 44782448 unique ideals
  279. Mon Mar 11 15:17:38 2019  reduce to 46444974 relations and 40794813 ideals in 6 passes
  280. Mon Mar 11 15:17:38 2019  max relations containing the same ideal: 96
  281. Mon Mar 11 15:17:55 2019  removing 5631170 relations and 3631170 ideals in 2000000 cliques
  282. Mon Mar 11 15:17:57 2019  commencing in-memory singleton removal
  283. Mon Mar 11 15:17:59 2019  begin with 40813804 relations and 40794813 unique ideals
  284. Mon Mar 11 15:18:15 2019  reduce to 40404525 relations and 36739737 ideals in 6 passes
  285. Mon Mar 11 15:18:15 2019  max relations containing the same ideal: 88
  286. Mon Mar 11 15:18:30 2019  removing 5670775 relations and 3670775 ideals in 2000000 cliques
  287. Mon Mar 11 15:18:32 2019  commencing in-memory singleton removal
  288. Mon Mar 11 15:18:34 2019  begin with 34733750 relations and 36739737 unique ideals
  289. Mon Mar 11 15:18:51 2019  reduce to 34226504 relations and 32540408 ideals in 8 passes
  290. Mon Mar 11 15:18:51 2019  max relations containing the same ideal: 80
  291. Mon Mar 11 15:19:04 2019  removing 2738853 relations and 1922847 ideals in 816006 cliques
  292. Mon Mar 11 15:19:05 2019  commencing in-memory singleton removal
  293. Mon Mar 11 15:19:07 2019  begin with 31487651 relations and 32540408 unique ideals
  294. Mon Mar 11 15:19:21 2019  reduce to 31315005 relations and 30441238 ideals in 7 passes
  295. Mon Mar 11 15:19:21 2019  max relations containing the same ideal: 78
  296. Mon Mar 11 15:19:36 2019  relations with 0 large ideals: 57330
  297. Mon Mar 11 15:19:36 2019  relations with 1 large ideals: 15200
  298. Mon Mar 11 15:19:36 2019  relations with 2 large ideals: 176060
  299. Mon Mar 11 15:19:36 2019  relations with 3 large ideals: 1068009
  300. Mon Mar 11 15:19:36 2019  relations with 4 large ideals: 3490571
  301. Mon Mar 11 15:19:36 2019  relations with 5 large ideals: 6786768
  302. Mon Mar 11 15:19:36 2019  relations with 6 large ideals: 8234642
  303. Mon Mar 11 15:19:36 2019  relations with 7+ large ideals: 11486425
  304. Mon Mar 11 15:19:36 2019  commencing 2-way merge
  305. Mon Mar 11 15:19:52 2019  reduce to 21797670 relation sets and 20923903 unique ideals
  306. Mon Mar 11 15:19:52 2019  commencing full merge
  307. Mon Mar 11 15:27:44 2019  memory use: 2792.6 MB
  308. Mon Mar 11 15:27:49 2019  found 9704934 cycles, need 9664103
  309. Mon Mar 11 15:27:49 2019  weight of 9664103 cycles is about 1159940330 (120.03/cycle)
  310. Mon Mar 11 15:27:49 2019  distribution of cycle lengths:
  311. Mon Mar 11 15:27:49 2019  1 relations: 336517
  312. Mon Mar 11 15:27:49 2019  2 relations: 481280
  313. Mon Mar 11 15:27:49 2019  3 relations: 604748
  314. Mon Mar 11 15:27:49 2019  4 relations: 665589
  315. Mon Mar 11 15:27:49 2019  5 relations: 707324
  316. Mon Mar 11 15:27:49 2019  6 relations: 724573
  317. Mon Mar 11 15:27:49 2019  7 relations: 720680
  318. Mon Mar 11 15:27:49 2019  8 relations: 698889
  319. Mon Mar 11 15:27:49 2019  9 relations: 661934
  320. Mon Mar 11 15:27:49 2019  10+ relations: 4062569
  321. Mon Mar 11 15:27:49 2019  heaviest cycle: 28 relations
  322. Mon Mar 11 15:27:53 2019  commencing cycle optimization
  323. Mon Mar 11 15:28:14 2019  start with 88651480 relations
  324. Mon Mar 11 15:32:07 2019  pruned 4760742 relations
  325. Mon Mar 11 15:32:07 2019  memory use: 2215.8 MB
  326. Mon Mar 11 15:32:07 2019  distribution of cycle lengths:
  327. Mon Mar 11 15:32:07 2019  1 relations: 336517
  328. Mon Mar 11 15:32:07 2019  2 relations: 493608
  329. Mon Mar 11 15:32:07 2019  3 relations: 631254
  330. Mon Mar 11 15:32:07 2019  4 relations: 696856
  331. Mon Mar 11 15:32:07 2019  5 relations: 750108
  332. Mon Mar 11 15:32:07 2019  6 relations: 767784
  333. Mon Mar 11 15:32:07 2019  7 relations: 768415
  334. Mon Mar 11 15:32:07 2019  8 relations: 743301
  335. Mon Mar 11 15:32:07 2019  9 relations: 702699
  336. Mon Mar 11 15:32:07 2019  10+ relations: 3773561
  337. Mon Mar 11 15:32:07 2019  heaviest cycle: 28 relations
  338. Mon Mar 11 15:32:29 2019  RelProcTime: 5418
  339. Mon Mar 11 15:32:29 2019  
  340. Mon Mar 11 15:32:29 2019  commencing linear algebra
  341. Mon Mar 11 15:32:30 2019  read 9664103 cycles
  342. Mon Mar 11 15:32:52 2019  cycles contain 30912585 unique relations
  343. Mon Mar 11 15:35:02 2019  read 30912585 relations
  344. Mon Mar 11 15:36:05 2019  using 20 quadratic characters above 4294917295
  345. Mon Mar 11 15:37:53 2019  building initial matrix
  346. Mon Mar 11 15:43:12 2019  memory use: 3823.2 MB
  347. Mon Mar 11 15:43:20 2019  read 9664103 cycles
  348. Mon Mar 11 15:43:21 2019  matrix is 9663926 x 9664103 (4502.9 MB) with weight 1279788815 (132.43/col)
  349. Mon Mar 11 15:43:21 2019  sparse part has weight 1074104679 (111.14/col)
  350. Mon Mar 11 15:44:58 2019  filtering completed in 2 passes
  351. Mon Mar 11 15:44:59 2019  matrix is 9663791 x 9663968 (4502.9 MB) with weight 1279784270 (132.43/col)
  352. Mon Mar 11 15:44:59 2019  sparse part has weight 1074103044 (111.15/col)
  353. Mon Mar 11 15:45:31 2019  matrix starts at (0, 0)
  354. Mon Mar 11 15:45:32 2019  matrix is 9663791 x 9663968 (4502.9 MB) with weight 1279784270 (132.43/col)
  355. Mon Mar 11 15:45:32 2019  sparse part has weight 1074103044 (111.15/col)
  356. Mon Mar 11 15:45:32 2019  saving the first 48 matrix rows for later
  357. Mon Mar 11 15:45:33 2019  matrix includes 64 packed rows
  358. Mon Mar 11 15:45:34 2019  matrix is 9663743 x 9663968 (4311.6 MB) with weight 1104840853 (114.33/col)
  359. Mon Mar 11 15:45:34 2019  sparse part has weight 1033618882 (106.96/col)
  360. Mon Mar 11 15:45:34 2019  using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  361. Mon Mar 11 15:46:19 2019  commencing Lanczos iteration (8 threads)
  362. Mon Mar 11 15:46:19 2019  memory use: 3677.3 MB
  363. Mon Mar 11 15:46:38 2019  linear algebra at 0.0%, ETA 31h50m
  364. Mon Mar 11 15:46:44 2019  checkpointing every 310000 dimensions
  365. Tue Mar 12 23:24:35 2019  lanczos halted after 152817 iterations (dim = 9663737)
  366. Tue Mar 12 23:24:45 2019  recovered 33 nontrivial dependencies
  367. Tue Mar 12 23:24:47 2019  BLanczosTime: 114738
  368. Tue Mar 12 23:24:47 2019  
  369. Tue Mar 12 23:24:47 2019  commencing square root phase
  370. Tue Mar 12 23:24:47 2019  handling dependencies 1 to 64
  371. Tue Mar 12 23:24:47 2019  reading relations for dependency 1
  372. Tue Mar 12 23:24:49 2019  read 4832809 cycles
  373. Tue Mar 12 23:24:58 2019  cycles contain 15450646 unique relations
  374. Tue Mar 12 23:26:10 2019  read 15450646 relations
  375. Tue Mar 12 23:27:12 2019  multiplying 15450646 relations
  376. Tue Mar 12 23:34:36 2019  multiply complete, coefficients have about 386.78 million bits
  377. Tue Mar 12 23:34:38 2019  initial square root is modulo 8713157
  378. Tue Mar 12 23:42:24 2019  sqrtTime: 1057
  379. Tue Mar 12 23:42:24 2019  p69 factor: 741218373247426930802526678442260008389673139208478394962904090456173
  380. Tue Mar 12 23:42:24 2019  p138 factor: 251953243614350865799723497579015993905637610321018186669986120851002744126363584597368103085447000979735417397327427140784262949429231773
  381. Tue Mar 12 23:42:24 2019  elapsed time 33:40:15
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