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Oct 16th, 2019
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  1. Mon Oct 14 09:35:10 2019
  2. Mon Oct 14 09:35:10 2019
  3. Mon Oct 14 09:35:10 2019 Msieve v. 1.53 (SVN 988M)
  4. Mon Oct 14 09:35:10 2019 random seeds: 56e2c92a 4f9a6bb5
  5. Mon Oct 14 09:35:10 2019 factoring 31039663180151241310564445876430263914219654432780096957570345583241594872635174781675434502438980666033359088778114158633412774263734344287108946738225054298582506592398770058210292839058163049747358634798419327074908770750110728002731213 (239 digits)
  6. Mon Oct 14 09:35:11 2019 searching for 15-digit factors
  7. Mon Oct 14 09:35:12 2019 commencing number field sieve (239-digit input)
  8. Mon Oct 14 09:35:12 2019 R0: 1224809639974238708818962962512535510581248
  9. Mon Oct 14 09:35:12 2019 R1: -1818989403545856475830078125
  10. Mon Oct 14 09:35:12 2019 A0: -12
  11. Mon Oct 14 09:35:12 2019 A1: 0
  12. Mon Oct 14 09:35:12 2019 A2: 0
  13. Mon Oct 14 09:35:12 2019 A3: 0
  14. Mon Oct 14 09:35:12 2019 A4: 0
  15. Mon Oct 14 09:35:12 2019 A5: 0
  16. Mon Oct 14 09:35:12 2019 A6: 5
  17. Mon Oct 14 09:35:12 2019 skew 1.16, size 2.532e-12, alpha -0.248, combined = 2.270e-13 rroots = 2
  18. Mon Oct 14 09:35:12 2019
  19. Mon Oct 14 09:35:12 2019 commencing relation filtering
  20. Mon Oct 14 09:35:12 2019 setting target matrix density to 130.0
  21. Mon Oct 14 09:35:12 2019 estimated available RAM is 32768.0 MB
  22. Mon Oct 14 09:35:12 2019 commencing duplicate removal, pass 1
  23. Mon Oct 14 09:40:08 2019 error -6 reading relation 49919824
  24. [6103 more error lines]
  25. Mon Oct 14 09:54:11 2019 error -1 reading relation 190809188
  26. Mon Oct 14 09:55:36 2019 skipped 140 relations with b > 2^32
  27. Mon Oct 14 09:55:36 2019 skipped 7965 relations with composite factors
  28. Mon Oct 14 09:55:36 2019 found 9188850 hash collisions in 204893222 relations
  29. Mon Oct 14 09:55:47 2019 added 1218252 free relations
  30. Mon Oct 14 09:55:47 2019 commencing duplicate removal, pass 2
  31. Mon Oct 14 09:56:32 2019 found 0 duplicates and 206111474 unique relations
  32. Mon Oct 14 09:56:32 2019 memory use: 522.4 MB
  33. Mon Oct 14 09:56:32 2019 reading ideals above 145948672
  34. Mon Oct 14 09:56:32 2019 commencing singleton removal, initial pass
  35. Mon Oct 14 10:11:32 2019 memory use: 5512.0 MB
  36. Mon Oct 14 10:11:32 2019 reading all ideals from disk
  37. Mon Oct 14 10:11:35 2019 memory use: 3856.7 MB
  38. Mon Oct 14 10:11:42 2019 commencing in-memory singleton removal
  39. Mon Oct 14 10:11:49 2019 begin with 206111474 relations and 166217434 unique ideals
  40. Mon Oct 14 10:13:17 2019 reduce to 145305148 relations and 100053044 ideals in 13 passes
  41. Mon Oct 14 10:13:17 2019 max relations containing the same ideal: 149
  42. Mon Oct 14 10:13:28 2019 reading ideals above 720000
  43. Mon Oct 14 10:13:29 2019 commencing singleton removal, initial pass
  44. Mon Oct 14 10:27:36 2019 memory use: 3012.0 MB
  45. Mon Oct 14 10:27:36 2019 reading all ideals from disk
  46. Mon Oct 14 10:27:40 2019 memory use: 5777.6 MB
  47. Mon Oct 14 10:27:52 2019 keeping 115773885 ideals with weight <= 200, target excess is 733184
  48. Mon Oct 14 10:28:06 2019 commencing in-memory singleton removal
  49. Mon Oct 14 10:28:16 2019 begin with 145305148 relations and 115773885 unique ideals
  50. Mon Oct 14 10:29:33 2019 reduce to 145304133 relations and 115772870 ideals in 7 passes
  51. Mon Oct 14 10:29:33 2019 max relations containing the same ideal: 200
  52. Mon Oct 14 10:30:26 2019 removing 10546340 relations and 8546340 ideals in 2000000 cliques
  53. Mon Oct 14 10:30:30 2019 commencing in-memory singleton removal
  54. Mon Oct 14 10:30:39 2019 begin with 134757793 relations and 115772870 unique ideals
  55. Mon Oct 14 10:32:01 2019 reduce to 134129577 relations and 106586787 ideals in 8 passes
  56. Mon Oct 14 10:32:01 2019 max relations containing the same ideal: 197
  57. Mon Oct 14 10:32:50 2019 removing 8092728 relations and 6092728 ideals in 2000000 cliques
  58. Mon Oct 14 10:32:53 2019 commencing in-memory singleton removal
  59. Mon Oct 14 10:33:02 2019 begin with 126036849 relations and 106586787 unique ideals
  60. Mon Oct 14 10:34:09 2019 reduce to 125621924 relations and 100072483 ideals in 7 passes
  61. Mon Oct 14 10:34:09 2019 max relations containing the same ideal: 192
  62. Mon Oct 14 10:34:55 2019 removing 7359407 relations and 5359407 ideals in 2000000 cliques
  63. Mon Oct 14 10:34:58 2019 commencing in-memory singleton removal
  64. Mon Oct 14 10:35:06 2019 begin with 118262517 relations and 100072483 unique ideals
  65. Mon Oct 14 10:36:08 2019 reduce to 117900829 relations and 94345724 ideals in 7 passes
  66. Mon Oct 14 10:36:08 2019 max relations containing the same ideal: 189
  67. Mon Oct 14 10:36:52 2019 removing 6995214 relations and 4995214 ideals in 2000000 cliques
  68. Mon Oct 14 10:36:55 2019 commencing in-memory singleton removal
  69. Mon Oct 14 10:37:02 2019 begin with 110905615 relations and 94345724 unique ideals
  70. Mon Oct 14 10:37:52 2019 reduce to 110566843 relations and 89006167 ideals in 6 passes
  71. Mon Oct 14 10:37:52 2019 max relations containing the same ideal: 183
  72. Mon Oct 14 10:38:33 2019 removing 6761881 relations and 4761881 ideals in 2000000 cliques
  73. Mon Oct 14 10:38:36 2019 commencing in-memory singleton removal
  74. Mon Oct 14 10:38:43 2019 begin with 103804962 relations and 89006167 unique ideals
  75. Mon Oct 14 10:39:29 2019 reduce to 103477877 relations and 83911747 ideals in 6 passes
  76. Mon Oct 14 10:39:29 2019 max relations containing the same ideal: 176
  77. Mon Oct 14 10:40:08 2019 removing 6607964 relations and 4607964 ideals in 2000000 cliques
  78. Mon Oct 14 10:40:11 2019 commencing in-memory singleton removal
  79. Mon Oct 14 10:40:17 2019 begin with 96869913 relations and 83911747 unique ideals
  80. Mon Oct 14 10:41:07 2019 reduce to 96545092 relations and 78973207 ideals in 7 passes
  81. Mon Oct 14 10:41:07 2019 max relations containing the same ideal: 171
  82. Mon Oct 14 10:41:44 2019 removing 6498917 relations and 4498917 ideals in 2000000 cliques
  83. Mon Oct 14 10:41:46 2019 commencing in-memory singleton removal
  84. Mon Oct 14 10:41:52 2019 begin with 90046175 relations and 78973207 unique ideals
  85. Mon Oct 14 10:42:32 2019 reduce to 89717163 relations and 74139167 ideals in 6 passes
  86. Mon Oct 14 10:42:32 2019 max relations containing the same ideal: 162
  87. Mon Oct 14 10:43:06 2019 removing 6420399 relations and 4420399 ideals in 2000000 cliques
  88. Mon Oct 14 10:43:09 2019 commencing in-memory singleton removal
  89. Mon Oct 14 10:43:14 2019 begin with 83296764 relations and 74139167 unique ideals
  90. Mon Oct 14 10:43:51 2019 reduce to 82958608 relations and 69373944 ideals in 6 passes
  91. Mon Oct 14 10:43:51 2019 max relations containing the same ideal: 153
  92. Mon Oct 14 10:44:22 2019 removing 6366944 relations and 4366944 ideals in 2000000 cliques
  93. Mon Oct 14 10:44:24 2019 commencing in-memory singleton removal
  94. Mon Oct 14 10:44:29 2019 begin with 76591664 relations and 69373944 unique ideals
  95. Mon Oct 14 10:45:03 2019 reduce to 76243446 relations and 64651389 ideals in 6 passes
  96. Mon Oct 14 10:45:03 2019 max relations containing the same ideal: 146
  97. Mon Oct 14 10:45:32 2019 removing 6330999 relations and 4330999 ideals in 2000000 cliques
  98. Mon Oct 14 10:45:34 2019 commencing in-memory singleton removal
  99. Mon Oct 14 10:45:39 2019 begin with 69912447 relations and 64651389 unique ideals
  100. Mon Oct 14 10:46:14 2019 reduce to 69545318 relations and 59944813 ideals in 7 passes
  101. Mon Oct 14 10:46:14 2019 max relations containing the same ideal: 135
  102. Mon Oct 14 10:46:41 2019 removing 6307709 relations and 4307709 ideals in 2000000 cliques
  103. Mon Oct 14 10:46:43 2019 commencing in-memory singleton removal
  104. Mon Oct 14 10:46:47 2019 begin with 63237609 relations and 59944813 unique ideals
  105. Mon Oct 14 10:47:19 2019 reduce to 62843029 relations and 55232741 ideals in 7 passes
  106. Mon Oct 14 10:47:19 2019 max relations containing the same ideal: 123
  107. Mon Oct 14 10:47:44 2019 removing 6304179 relations and 4304179 ideals in 2000000 cliques
  108. Mon Oct 14 10:47:45 2019 commencing in-memory singleton removal
  109. Mon Oct 14 10:47:49 2019 begin with 56538850 relations and 55232741 unique ideals
  110. Mon Oct 14 10:48:17 2019 reduce to 56109031 relations and 50487029 ideals in 7 passes
  111. Mon Oct 14 10:48:17 2019 max relations containing the same ideal: 116
  112. Mon Oct 14 10:48:39 2019 removing 6307328 relations and 4307328 ideals in 2000000 cliques
  113. Mon Oct 14 10:48:41 2019 commencing in-memory singleton removal
  114. Mon Oct 14 10:48:45 2019 begin with 49801703 relations and 50487029 unique ideals
  115. Mon Oct 14 10:49:09 2019 reduce to 49315377 relations and 45678606 ideals in 7 passes
  116. Mon Oct 14 10:49:09 2019 max relations containing the same ideal: 103
  117. Mon Oct 14 10:49:28 2019 removing 6345435 relations and 4345435 ideals in 2000000 cliques
  118. Mon Oct 14 10:49:30 2019 commencing in-memory singleton removal
  119. Mon Oct 14 10:49:33 2019 begin with 42969942 relations and 45678606 unique ideals
  120. Mon Oct 14 10:49:54 2019 reduce to 42401082 relations and 40744376 ideals in 7 passes
  121. Mon Oct 14 10:49:54 2019 max relations containing the same ideal: 97
  122. Mon Oct 14 10:50:11 2019 removing 3083605 relations and 2277393 ideals in 806212 cliques
  123. Mon Oct 14 10:50:12 2019 commencing in-memory singleton removal
  124. Mon Oct 14 10:50:15 2019 begin with 39317477 relations and 40744376 unique ideals
  125. Mon Oct 14 10:50:34 2019 reduce to 39156302 relations and 38303187 ideals in 7 passes
  126. Mon Oct 14 10:50:34 2019 max relations containing the same ideal: 95
  127. Mon Oct 14 10:50:54 2019 relations with 0 large ideals: 27833
  128. Mon Oct 14 10:50:54 2019 relations with 1 large ideals: 11290
  129. Mon Oct 14 10:50:54 2019 relations with 2 large ideals: 149234
  130. Mon Oct 14 10:50:54 2019 relations with 3 large ideals: 986994
  131. Mon Oct 14 10:50:54 2019 relations with 4 large ideals: 3556101
  132. Mon Oct 14 10:50:54 2019 relations with 5 large ideals: 7669446
  133. Mon Oct 14 10:50:54 2019 relations with 6 large ideals: 10381502
  134. Mon Oct 14 10:50:54 2019 relations with 7+ large ideals: 16373902
  135. Mon Oct 14 10:50:54 2019 commencing 2-way merge
  136. Mon Oct 14 10:51:15 2019 reduce to 26483148 relation sets and 25630033 unique ideals
  137. Mon Oct 14 10:51:15 2019 commencing full merge
  138. Mon Oct 14 11:09:00 2019 memory use: 1187.4 MB
  139. Mon Oct 14 11:09:00 2019 found 69375 cycles, need 5652384
  140. Mon Oct 14 11:09:00 2019 too few cycles, matrix probably cannot build
  141. Mon Oct 14 11:09:57 2019
  142. Mon Oct 14 11:09:57 2019
  143. Mon Oct 14 11:09:57 2019 Msieve v. 1.53 (SVN 988M)
  144. Mon Oct 14 11:09:57 2019 random seeds: 5e9a88a7 a5b865de
  145. Mon Oct 14 11:09:57 2019 factoring 31039663180151241310564445876430263914219654432780096957570345583241594872635174781675434502438980666033359088778114158633412774263734344287108946738225054298582506592398770058210292839058163049747358634798419327074908770750110728002731213 (239 digits)
  146. Mon Oct 14 11:09:58 2019 searching for 15-digit factors
  147. Mon Oct 14 11:09:59 2019 commencing number field sieve (239-digit input)
  148. Mon Oct 14 11:09:59 2019 R0: 1224809639974238708818962962512535510581248
  149. Mon Oct 14 11:09:59 2019 R1: -1818989403545856475830078125
  150. Mon Oct 14 11:09:59 2019 A0: -12
  151. Mon Oct 14 11:09:59 2019 A1: 0
  152. Mon Oct 14 11:09:59 2019 A2: 0
  153. Mon Oct 14 11:09:59 2019 A3: 0
  154. Mon Oct 14 11:09:59 2019 A4: 0
  155. Mon Oct 14 11:09:59 2019 A5: 0
  156. Mon Oct 14 11:09:59 2019 A6: 5
  157. Mon Oct 14 11:09:59 2019 skew 1.16, size 2.532e-12, alpha -0.248, combined = 2.270e-13 rroots = 2
  158. Mon Oct 14 11:09:59 2019
  159. Mon Oct 14 11:09:59 2019 commencing relation filtering
  160. Mon Oct 14 11:09:59 2019 setting target matrix density to 124.0
  161. Mon Oct 14 11:09:59 2019 estimated available RAM is 32768.0 MB
  162. Mon Oct 14 11:09:59 2019 commencing duplicate removal, pass 1
  163. Mon Oct 14 11:14:55 2019 error -6 reading relation 49919824
  164. [6103 more error lines]
  165. Mon Oct 14 11:28:57 2019 error -1 reading relation 190809188
  166. Mon Oct 14 11:30:35 2019 skipped 140 relations with b > 2^32
  167. Mon Oct 14 11:30:35 2019 skipped 7965 relations with composite factors
  168. Mon Oct 14 11:30:35 2019 found 9294516 hash collisions in 206111474 relations
  169. Mon Oct 14 11:30:43 2019 commencing duplicate removal, pass 2
  170. Mon Oct 14 11:31:29 2019 found 0 duplicates and 206111474 unique relations
  171. Mon Oct 14 11:31:29 2019 memory use: 522.4 MB
  172. Mon Oct 14 11:31:29 2019 reading ideals above 145948672
  173. Mon Oct 14 11:31:29 2019 commencing singleton removal, initial pass
  174. Mon Oct 14 11:46:29 2019 memory use: 5512.0 MB
  175. Mon Oct 14 11:46:29 2019 reading all ideals from disk
  176. Mon Oct 14 11:46:31 2019 memory use: 3856.7 MB
  177. Mon Oct 14 11:46:39 2019 commencing in-memory singleton removal
  178. Mon Oct 14 11:46:46 2019 begin with 206111474 relations and 166217434 unique ideals
  179. Mon Oct 14 11:48:16 2019 reduce to 145305148 relations and 100053044 ideals in 13 passes
  180. Mon Oct 14 11:48:16 2019 max relations containing the same ideal: 149
  181. Mon Oct 14 11:48:27 2019 reading ideals above 720000
  182. Mon Oct 14 11:48:28 2019 commencing singleton removal, initial pass
  183. Mon Oct 14 12:02:39 2019 memory use: 3012.0 MB
  184. Mon Oct 14 12:02:39 2019 reading all ideals from disk
  185. Mon Oct 14 12:02:43 2019 memory use: 5777.6 MB
  186. Mon Oct 14 12:02:55 2019 keeping 115773885 ideals with weight <= 200, target excess is 733184
  187. Mon Oct 14 12:03:09 2019 commencing in-memory singleton removal
  188. Mon Oct 14 12:03:18 2019 begin with 145305148 relations and 115773885 unique ideals
  189. Mon Oct 14 12:04:34 2019 reduce to 145304133 relations and 115772870 ideals in 7 passes
  190. Mon Oct 14 12:04:34 2019 max relations containing the same ideal: 200
  191. Mon Oct 14 12:05:26 2019 removing 10546340 relations and 8546340 ideals in 2000000 cliques
  192. Mon Oct 14 12:05:30 2019 commencing in-memory singleton removal
  193. Mon Oct 14 12:05:39 2019 begin with 134757793 relations and 115772870 unique ideals
  194. Mon Oct 14 12:06:59 2019 reduce to 134129577 relations and 106586787 ideals in 8 passes
  195. Mon Oct 14 12:06:59 2019 max relations containing the same ideal: 197
  196. Mon Oct 14 12:07:47 2019 removing 8092728 relations and 6092728 ideals in 2000000 cliques
  197. Mon Oct 14 12:07:50 2019 commencing in-memory singleton removal
  198. Mon Oct 14 12:07:59 2019 begin with 126036849 relations and 106586787 unique ideals
  199. Mon Oct 14 12:09:04 2019 reduce to 125621924 relations and 100072483 ideals in 7 passes
  200. Mon Oct 14 12:09:04 2019 max relations containing the same ideal: 192
  201. Mon Oct 14 12:09:49 2019 removing 7359407 relations and 5359407 ideals in 2000000 cliques
  202. Mon Oct 14 12:09:52 2019 commencing in-memory singleton removal
  203. Mon Oct 14 12:10:00 2019 begin with 118262517 relations and 100072483 unique ideals
  204. Mon Oct 14 12:11:01 2019 reduce to 117900829 relations and 94345724 ideals in 7 passes
  205. Mon Oct 14 12:11:01 2019 max relations containing the same ideal: 189
  206. Mon Oct 14 12:11:44 2019 removing 6995214 relations and 4995214 ideals in 2000000 cliques
  207. Mon Oct 14 12:11:47 2019 commencing in-memory singleton removal
  208. Mon Oct 14 12:11:54 2019 begin with 110905615 relations and 94345724 unique ideals
  209. Mon Oct 14 12:12:43 2019 reduce to 110566843 relations and 89006167 ideals in 6 passes
  210. Mon Oct 14 12:12:43 2019 max relations containing the same ideal: 183
  211. Mon Oct 14 12:13:24 2019 removing 6761881 relations and 4761881 ideals in 2000000 cliques
  212. Mon Oct 14 12:13:27 2019 commencing in-memory singleton removal
  213. Mon Oct 14 12:13:34 2019 begin with 103804962 relations and 89006167 unique ideals
  214. Mon Oct 14 12:14:19 2019 reduce to 103477877 relations and 83911747 ideals in 6 passes
  215. Mon Oct 14 12:14:19 2019 max relations containing the same ideal: 176
  216. Mon Oct 14 12:14:57 2019 removing 6607964 relations and 4607964 ideals in 2000000 cliques
  217. Mon Oct 14 12:15:00 2019 commencing in-memory singleton removal
  218. Mon Oct 14 12:15:06 2019 begin with 96869913 relations and 83911747 unique ideals
  219. Mon Oct 14 12:15:55 2019 reduce to 96545092 relations and 78973207 ideals in 7 passes
  220. Mon Oct 14 12:15:55 2019 max relations containing the same ideal: 171
  221. Mon Oct 14 12:16:32 2019 removing 6498917 relations and 4498917 ideals in 2000000 cliques
  222. Mon Oct 14 12:16:34 2019 commencing in-memory singleton removal
  223. Mon Oct 14 12:16:40 2019 begin with 90046175 relations and 78973207 unique ideals
  224. Mon Oct 14 12:17:20 2019 reduce to 89717163 relations and 74139167 ideals in 6 passes
  225. Mon Oct 14 12:17:20 2019 max relations containing the same ideal: 162
  226. Mon Oct 14 12:17:54 2019 removing 6420399 relations and 4420399 ideals in 2000000 cliques
  227. Mon Oct 14 12:17:56 2019 commencing in-memory singleton removal
  228. Mon Oct 14 12:18:02 2019 begin with 83296764 relations and 74139167 unique ideals
  229. Mon Oct 14 12:18:38 2019 reduce to 82958608 relations and 69373944 ideals in 6 passes
  230. Mon Oct 14 12:18:38 2019 max relations containing the same ideal: 153
  231. Mon Oct 14 12:19:09 2019 removing 6366944 relations and 4366944 ideals in 2000000 cliques
  232. Mon Oct 14 12:19:11 2019 commencing in-memory singleton removal
  233. Mon Oct 14 12:19:16 2019 begin with 76591664 relations and 69373944 unique ideals
  234. Mon Oct 14 12:19:49 2019 reduce to 76243446 relations and 64651389 ideals in 6 passes
  235. Mon Oct 14 12:19:49 2019 max relations containing the same ideal: 146
  236. Mon Oct 14 12:20:18 2019 removing 6330999 relations and 4330999 ideals in 2000000 cliques
  237. Mon Oct 14 12:20:20 2019 commencing in-memory singleton removal
  238. Mon Oct 14 12:20:24 2019 begin with 69912447 relations and 64651389 unique ideals
  239. Mon Oct 14 12:20:59 2019 reduce to 69545318 relations and 59944813 ideals in 7 passes
  240. Mon Oct 14 12:20:59 2019 max relations containing the same ideal: 135
  241. Mon Oct 14 12:21:26 2019 removing 6307709 relations and 4307709 ideals in 2000000 cliques
  242. Mon Oct 14 12:21:28 2019 commencing in-memory singleton removal
  243. Mon Oct 14 12:21:32 2019 begin with 63237609 relations and 59944813 unique ideals
  244. Mon Oct 14 12:22:03 2019 reduce to 62843029 relations and 55232741 ideals in 7 passes
  245. Mon Oct 14 12:22:03 2019 max relations containing the same ideal: 123
  246. Mon Oct 14 12:22:27 2019 removing 6304179 relations and 4304179 ideals in 2000000 cliques
  247. Mon Oct 14 12:22:29 2019 commencing in-memory singleton removal
  248. Mon Oct 14 12:22:33 2019 begin with 56538850 relations and 55232741 unique ideals
  249. Mon Oct 14 12:23:00 2019 reduce to 56109031 relations and 50487029 ideals in 7 passes
  250. Mon Oct 14 12:23:00 2019 max relations containing the same ideal: 116
  251. Mon Oct 14 12:23:22 2019 removing 6307328 relations and 4307328 ideals in 2000000 cliques
  252. Mon Oct 14 12:23:24 2019 commencing in-memory singleton removal
  253. Mon Oct 14 12:23:27 2019 begin with 49801703 relations and 50487029 unique ideals
  254. Mon Oct 14 12:23:51 2019 reduce to 49315377 relations and 45678606 ideals in 7 passes
  255. Mon Oct 14 12:23:51 2019 max relations containing the same ideal: 103
  256. Mon Oct 14 12:24:10 2019 removing 6345435 relations and 4345435 ideals in 2000000 cliques
  257. Mon Oct 14 12:24:12 2019 commencing in-memory singleton removal
  258. Mon Oct 14 12:24:15 2019 begin with 42969942 relations and 45678606 unique ideals
  259. Mon Oct 14 12:24:35 2019 reduce to 42401082 relations and 40744376 ideals in 7 passes
  260. Mon Oct 14 12:24:35 2019 max relations containing the same ideal: 97
  261. Mon Oct 14 12:24:52 2019 removing 3083605 relations and 2277393 ideals in 806212 cliques
  262. Mon Oct 14 12:24:53 2019 commencing in-memory singleton removal
  263. Mon Oct 14 12:24:56 2019 begin with 39317477 relations and 40744376 unique ideals
  264. Mon Oct 14 12:25:14 2019 reduce to 39156302 relations and 38303187 ideals in 7 passes
  265. Mon Oct 14 12:25:14 2019 max relations containing the same ideal: 95
  266. Mon Oct 14 12:25:33 2019 relations with 0 large ideals: 27833
  267. Mon Oct 14 12:25:33 2019 relations with 1 large ideals: 11290
  268. Mon Oct 14 12:25:33 2019 relations with 2 large ideals: 149234
  269. Mon Oct 14 12:25:33 2019 relations with 3 large ideals: 986994
  270. Mon Oct 14 12:25:33 2019 relations with 4 large ideals: 3556101
  271. Mon Oct 14 12:25:33 2019 relations with 5 large ideals: 7669446
  272. Mon Oct 14 12:25:33 2019 relations with 6 large ideals: 10381502
  273. Mon Oct 14 12:25:33 2019 relations with 7+ large ideals: 16373902
  274. Mon Oct 14 12:25:33 2019 commencing 2-way merge
  275. Mon Oct 14 12:25:55 2019 reduce to 26483148 relation sets and 25630033 unique ideals
  276. Mon Oct 14 12:25:55 2019 commencing full merge
  277. Mon Oct 14 12:35:36 2019 memory use: 3338.5 MB
  278. Mon Oct 14 12:35:42 2019 found 11711612 cycles, need 11686233
  279. Mon Oct 14 12:35:43 2019 weight of 11686233 cycles is about 1449885663 (124.07/cycle)
  280. Mon Oct 14 12:35:43 2019 distribution of cycle lengths:
  281. Mon Oct 14 12:35:43 2019 1 relations: 418314
  282. Mon Oct 14 12:35:43 2019 2 relations: 624534
  283. Mon Oct 14 12:35:43 2019 3 relations: 766260
  284. Mon Oct 14 12:35:43 2019 4 relations: 815302
  285. Mon Oct 14 12:35:43 2019 5 relations: 848108
  286. Mon Oct 14 12:35:43 2019 6 relations: 852921
  287. Mon Oct 14 12:35:43 2019 7 relations: 844676
  288. Mon Oct 14 12:35:43 2019 8 relations: 813151
  289. Mon Oct 14 12:35:43 2019 9 relations: 770621
  290. Mon Oct 14 12:35:43 2019 10+ relations: 4932346
  291. Mon Oct 14 12:35:43 2019 heaviest cycle: 28 relations
  292. Mon Oct 14 12:35:48 2019 commencing cycle optimization
  293. Mon Oct 14 12:36:15 2019 start with 107473923 relations
  294. Mon Oct 14 12:41:04 2019 pruned 5397807 relations
  295. Mon Oct 14 12:41:04 2019 memory use: 2735.5 MB
  296. Mon Oct 14 12:41:04 2019 distribution of cycle lengths:
  297. Mon Oct 14 12:41:04 2019 1 relations: 418314
  298. Mon Oct 14 12:41:04 2019 2 relations: 641514
  299. Mon Oct 14 12:41:04 2019 3 relations: 800903
  300. Mon Oct 14 12:41:04 2019 4 relations: 852614
  301. Mon Oct 14 12:41:04 2019 5 relations: 894756
  302. Mon Oct 14 12:41:04 2019 6 relations: 899169
  303. Mon Oct 14 12:41:04 2019 7 relations: 895001
  304. Mon Oct 14 12:41:04 2019 8 relations: 857619
  305. Mon Oct 14 12:41:04 2019 9 relations: 811428
  306. Mon Oct 14 12:41:04 2019 10+ relations: 4614915
  307. Mon Oct 14 12:41:04 2019 heaviest cycle: 28 relations
  308. Mon Oct 14 12:41:32 2019 RelProcTime: 5493
  309. Mon Oct 14 12:41:32 2019
  310. Mon Oct 14 12:41:32 2019 commencing linear algebra
  311. Mon Oct 14 12:41:34 2019 read 11686233 cycles
  312. Mon Oct 14 12:42:00 2019 cycles contain 38725704 unique relations
  313. Mon Oct 14 12:44:30 2019 read 38725704 relations
  314. Mon Oct 14 12:45:55 2019 using 20 quadratic characters above 4294917295
  315. Mon Oct 14 12:48:12 2019 building initial matrix
  316. Mon Oct 14 12:55:17 2019 memory use: 5078.3 MB
  317. Mon Oct 14 12:55:29 2019 read 11686233 cycles
  318. Mon Oct 14 12:55:31 2019 matrix is 11686056 x 11686233 (5610.2 MB) with weight 1626636907 (139.19/col)
  319. Mon Oct 14 12:55:31 2019 sparse part has weight 1342143099 (114.85/col)
  320. Mon Oct 14 12:57:35 2019 filtering completed in 2 passes
  321. Mon Oct 14 12:57:37 2019 matrix is 11685968 x 11686145 (5610.2 MB) with weight 1626633681 (139.19/col)
  322. Mon Oct 14 12:57:37 2019 sparse part has weight 1342142077 (114.85/col)
  323. Mon Oct 14 12:58:17 2019 matrix starts at (0, 0)
  324. Mon Oct 14 12:58:18 2019 matrix is 11685968 x 11686145 (5610.2 MB) with weight 1626633681 (139.19/col)
  325. Mon Oct 14 12:58:18 2019 sparse part has weight 1342142077 (114.85/col)
  326. Mon Oct 14 12:58:18 2019 saving the first 48 matrix rows for later
  327. Mon Oct 14 12:58:20 2019 matrix includes 64 packed rows
  328. Mon Oct 14 12:58:21 2019 matrix is 11685920 x 11686145 (5376.4 MB) with weight 1395563196 (119.42/col)
  329. Mon Oct 14 12:58:21 2019 sparse part has weight 1292540293 (110.60/col)
  330. Mon Oct 14 12:58:21 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  331. Mon Oct 14 12:59:19 2019 commencing Lanczos iteration (8 threads)
  332. Mon Oct 14 12:59:19 2019 memory use: 4592.9 MB
  333. Mon Oct 14 12:59:44 2019 linear algebra at 0.0%, ETA 49h22m
  334. Mon Oct 14 12:59:52 2019 checkpointing every 240000 dimensions
  335. Wed Oct 16 14:43:48 2019 lanczos halted after 184801 iterations (dim = 11685917)
  336. Wed Oct 16 14:43:58 2019 recovered 37 nontrivial dependencies
  337. Wed Oct 16 14:44:01 2019 BLanczosTime: 180149
  338. Wed Oct 16 14:44:01 2019
  339. Wed Oct 16 14:44:01 2019 commencing square root phase
  340. Wed Oct 16 14:44:01 2019 handling dependencies 1 to 64
  341. Wed Oct 16 14:44:01 2019 reading relations for dependency 1
  342. Wed Oct 16 14:44:03 2019 read 5840510 cycles
  343. Wed Oct 16 14:44:15 2019 cycles contain 19358364 unique relations
  344. Wed Oct 16 14:45:37 2019 read 19358364 relations
  345. Wed Oct 16 14:47:00 2019 multiplying 19358364 relations
  346. Wed Oct 16 14:58:08 2019 multiply complete, coefficients have about 532.67 million bits
  347. Wed Oct 16 14:58:09 2019 initial square root is modulo 60133
  348. Wed Oct 16 15:09:44 2019 sqrtTime: 1543
  349. Wed Oct 16 15:09:44 2019 p84 factor: 845561033886051116531318205907080865889872991639002849667348867652333445389730442947
  350. Wed Oct 16 15:09:44 2019 p155 factor: 36708956463495438122187878516453836596621857365317579412156528022463321034627306215318758613624976855047904935915118585447202488979280744593938480071167279
  351. Wed Oct 16 15:09:44 2019 elapsed time 51:59:47
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