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Feb 17th, 2019
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  1. Fri Feb 15 10:29:26 2019
  2. Fri Feb 15 10:29:26 2019
  3. Fri Feb 15 10:29:26 2019 Msieve v. 1.54 (SVN 1025)
  4. Fri Feb 15 10:29:26 2019 random seeds: a5241cc4 d86a21a7
  5. Fri Feb 15 10:29:26 2019 factoring 891347703276396189391795049746278719582197644073369459144339691046698998534105083695619205508739974294190187088301039165902275310124006673988361342690023322718368622172628150557552024657987965639981080444257 (207 digits)
  6. Fri Feb 15 10:29:26 2019 searching for 15-digit factors
  7. Fri Feb 15 10:29:27 2019 commencing number field sieve (207-digit input)
  8. Fri Feb 15 10:29:27 2019 R0: 8505622499821102144576131684114829934592
  9. Fri Feb 15 10:29:27 2019 R1: -72759576141834259033203125
  10. Fri Feb 15 10:29:27 2019 A0: 1
  11. Fri Feb 15 10:29:27 2019 A1: 1
  12. Fri Feb 15 10:29:27 2019 A2: 1
  13. Fri Feb 15 10:29:27 2019 A3: 1
  14. Fri Feb 15 10:29:27 2019 A4: 1
  15. Fri Feb 15 10:29:27 2019 A5: 1
  16. Fri Feb 15 10:29:27 2019 A6: 1
  17. Fri Feb 15 10:29:27 2019 skew 1.00, size 7.593e-12, alpha 2.428, combined = 5.214e-13 rroots = 0
  18. Fri Feb 15 10:29:27 2019
  19. Fri Feb 15 10:29:27 2019 commencing relation filtering
  20. Fri Feb 15 10:29:27 2019 setting target matrix density to 124.0
  21. Fri Feb 15 10:29:27 2019 estimated available RAM is 15988.9 MB
  22. Fri Feb 15 10:29:27 2019 commencing duplicate removal, pass 1
  23. Fri Feb 15 10:42:23 2019 error -5 reading relation 121269362
  24. Fri Feb 15 10:45:55 2019 error -15 reading relation 154228670
  25. Fri Feb 15 10:47:04 2019 error -5 reading relation 165041733
  26. Fri Feb 15 10:48:19 2019 error -15 reading relation 176707259
  27. Fri Feb 15 10:52:05 2019 skipped 70 relations with b > 2^32
  28. Fri Feb 15 10:52:05 2019 skipped 3 relations with composite factors
  29. Fri Feb 15 10:52:05 2019 found 9559689 hash collisions in 209098825 relations
  30. Fri Feb 15 10:52:05 2019 commencing duplicate removal, pass 2
  31. Fri Feb 15 10:52:47 2019 found 0 duplicates and 209098825 unique relations
  32. Fri Feb 15 10:52:47 2019 memory use: 522.4 MB
  33. Fri Feb 15 10:52:47 2019 reading ideals above 129957888
  34. Fri Feb 15 10:52:47 2019 commencing singleton removal, initial pass
  35. Fri Feb 15 11:09:40 2019 memory use: 3012.0 MB
  36. Fri Feb 15 11:09:40 2019 reading all ideals from disk
  37. Fri Feb 15 11:09:45 2019 memory use: 3582.5 MB
  38. Fri Feb 15 11:09:52 2019 commencing in-memory singleton removal
  39. Fri Feb 15 11:09:59 2019 begin with 209098825 relations and 162970959 unique ideals
  40. Fri Feb 15 11:11:17 2019 reduce to 145414322 relations and 93457474 ideals in 12 passes
  41. Fri Feb 15 11:11:17 2019 max relations containing the same ideal: 45
  42. Fri Feb 15 11:11:24 2019 reading ideals above 720000
  43. Fri Feb 15 11:11:24 2019 commencing singleton removal, initial pass
  44. Fri Feb 15 11:26:40 2019 memory use: 3012.0 MB
  45. Fri Feb 15 11:26:40 2019 reading all ideals from disk
  46. Fri Feb 15 11:26:50 2019 memory use: 5635.2 MB
  47. Fri Feb 15 11:27:05 2019 keeping 107476344 ideals with weight <= 200, target excess is 731080
  48. Fri Feb 15 11:27:20 2019 commencing in-memory singleton removal
  49. Fri Feb 15 11:27:32 2019 begin with 145414322 relations and 107476344 unique ideals
  50. Fri Feb 15 11:28:18 2019 reduce to 145414307 relations and 107476329 ideals in 4 passes
  51. Fri Feb 15 11:28:18 2019 max relations containing the same ideal: 200
  52. Fri Feb 15 11:29:11 2019 removing 9746543 relations and 7746543 ideals in 2000000 cliques
  53. Fri Feb 15 11:29:14 2019 commencing in-memory singleton removal
  54. Fri Feb 15 11:29:25 2019 begin with 135667764 relations and 107476329 unique ideals
  55. Fri Feb 15 11:30:50 2019 reduce to 135182249 relations and 99235735 ideals in 8 passes
  56. Fri Feb 15 11:30:50 2019 max relations containing the same ideal: 198
  57. Fri Feb 15 11:31:39 2019 removing 7434502 relations and 5434502 ideals in 2000000 cliques
  58. Fri Feb 15 11:31:42 2019 commencing in-memory singleton removal
  59. Fri Feb 15 11:31:52 2019 begin with 127747747 relations and 99235735 unique ideals
  60. Fri Feb 15 11:33:01 2019 reduce to 127422795 relations and 93471360 ideals in 7 passes
  61. Fri Feb 15 11:33:01 2019 max relations containing the same ideal: 192
  62. Fri Feb 15 11:33:47 2019 removing 6770181 relations and 4770181 ideals in 2000000 cliques
  63. Fri Feb 15 11:33:50 2019 commencing in-memory singleton removal
  64. Fri Feb 15 11:33:59 2019 begin with 120652614 relations and 93471360 unique ideals
  65. Fri Feb 15 11:34:55 2019 reduce to 120372405 relations and 88416747 ideals in 6 passes
  66. Fri Feb 15 11:34:55 2019 max relations containing the same ideal: 186
  67. Fri Feb 15 11:35:39 2019 removing 6425058 relations and 4425058 ideals in 2000000 cliques
  68. Fri Feb 15 11:35:41 2019 commencing in-memory singleton removal
  69. Fri Feb 15 11:35:50 2019 begin with 113947347 relations and 88416747 unique ideals
  70. Fri Feb 15 11:36:42 2019 reduce to 113689351 relations and 83729722 ideals in 6 passes
  71. Fri Feb 15 11:36:42 2019 max relations containing the same ideal: 180
  72. Fri Feb 15 11:37:23 2019 removing 6200920 relations and 4200920 ideals in 2000000 cliques
  73. Fri Feb 15 11:37:26 2019 commencing in-memory singleton removal
  74. Fri Feb 15 11:37:34 2019 begin with 107488431 relations and 83729722 unique ideals
  75. Fri Feb 15 11:38:31 2019 reduce to 107244127 relations and 79280508 ideals in 7 passes
  76. Fri Feb 15 11:38:31 2019 max relations containing the same ideal: 176
  77. Fri Feb 15 11:39:10 2019 removing 6042691 relations and 4042691 ideals in 2000000 cliques
  78. Fri Feb 15 11:39:13 2019 commencing in-memory singleton removal
  79. Fri Feb 15 11:39:20 2019 begin with 101201436 relations and 79280508 unique ideals
  80. Fri Feb 15 11:40:06 2019 reduce to 100963119 relations and 74995427 ideals in 6 passes
  81. Fri Feb 15 11:40:06 2019 max relations containing the same ideal: 168
  82. Fri Feb 15 11:40:43 2019 removing 5926507 relations and 3926507 ideals in 2000000 cliques
  83. Fri Feb 15 11:40:45 2019 commencing in-memory singleton removal
  84. Fri Feb 15 11:40:52 2019 begin with 95036612 relations and 74995427 unique ideals
  85. Fri Feb 15 11:41:35 2019 reduce to 94799491 relations and 70827409 ideals in 6 passes
  86. Fri Feb 15 11:41:35 2019 max relations containing the same ideal: 162
  87. Fri Feb 15 11:42:10 2019 removing 5839695 relations and 3839695 ideals in 2000000 cliques
  88. Fri Feb 15 11:42:12 2019 commencing in-memory singleton removal
  89. Fri Feb 15 11:42:19 2019 begin with 88959796 relations and 70827409 unique ideals
  90. Fri Feb 15 11:42:58 2019 reduce to 88719466 relations and 66742766 ideals in 6 passes
  91. Fri Feb 15 11:42:58 2019 max relations containing the same ideal: 155
  92. Fri Feb 15 11:43:31 2019 removing 5771893 relations and 3771893 ideals in 2000000 cliques
  93. Fri Feb 15 11:43:32 2019 commencing in-memory singleton removal
  94. Fri Feb 15 11:43:39 2019 begin with 82947573 relations and 66742766 unique ideals
  95. Fri Feb 15 11:44:16 2019 reduce to 82701735 relations and 62719896 ideals in 6 passes
  96. Fri Feb 15 11:44:16 2019 max relations containing the same ideal: 147
  97. Fri Feb 15 11:44:45 2019 removing 5719108 relations and 3719108 ideals in 2000000 cliques
  98. Fri Feb 15 11:44:47 2019 commencing in-memory singleton removal
  99. Fri Feb 15 11:44:53 2019 begin with 76982627 relations and 62719896 unique ideals
  100. Fri Feb 15 11:45:27 2019 reduce to 76728333 relations and 58740959 ideals in 6 passes
  101. Fri Feb 15 11:45:27 2019 max relations containing the same ideal: 140
  102. Fri Feb 15 11:45:55 2019 removing 5683629 relations and 3683629 ideals in 2000000 cliques
  103. Fri Feb 15 11:45:56 2019 commencing in-memory singleton removal
  104. Fri Feb 15 11:46:02 2019 begin with 71044704 relations and 58740959 unique ideals
  105. Fri Feb 15 11:46:33 2019 reduce to 70776970 relations and 54783178 ideals in 6 passes
  106. Fri Feb 15 11:46:33 2019 max relations containing the same ideal: 135
  107. Fri Feb 15 11:46:58 2019 removing 5662814 relations and 3662814 ideals in 2000000 cliques
  108. Fri Feb 15 11:47:00 2019 commencing in-memory singleton removal
  109. Fri Feb 15 11:47:05 2019 begin with 65114156 relations and 54783178 unique ideals
  110. Fri Feb 15 11:47:38 2019 reduce to 64829486 relations and 50828487 ideals in 7 passes
  111. Fri Feb 15 11:47:38 2019 max relations containing the same ideal: 126
  112. Fri Feb 15 11:48:01 2019 removing 5648093 relations and 3648093 ideals in 2000000 cliques
  113. Fri Feb 15 11:48:02 2019 commencing in-memory singleton removal
  114. Fri Feb 15 11:48:06 2019 begin with 59181393 relations and 50828487 unique ideals
  115. Fri Feb 15 11:48:31 2019 reduce to 58878595 relations and 46869416 ideals in 7 passes
  116. Fri Feb 15 11:48:31 2019 max relations containing the same ideal: 118
  117. Fri Feb 15 11:48:50 2019 removing 5641022 relations and 3641022 ideals in 2000000 cliques
  118. Fri Feb 15 11:48:52 2019 commencing in-memory singleton removal
  119. Fri Feb 15 11:48:55 2019 begin with 53237573 relations and 46869416 unique ideals
  120. Fri Feb 15 11:49:17 2019 reduce to 52906003 relations and 42886941 ideals in 7 passes
  121. Fri Feb 15 11:49:17 2019 max relations containing the same ideal: 111
  122. Fri Feb 15 11:49:34 2019 removing 5649081 relations and 3649081 ideals in 2000000 cliques
  123. Fri Feb 15 11:49:36 2019 commencing in-memory singleton removal
  124. Fri Feb 15 11:49:38 2019 begin with 47256922 relations and 42886941 unique ideals
  125. Fri Feb 15 11:49:55 2019 reduce to 46891702 relations and 38860850 ideals in 6 passes
  126. Fri Feb 15 11:49:55 2019 max relations containing the same ideal: 102
  127. Fri Feb 15 11:50:10 2019 removing 5658825 relations and 3658825 ideals in 2000000 cliques
  128. Fri Feb 15 11:50:12 2019 commencing in-memory singleton removal
  129. Fri Feb 15 11:50:14 2019 begin with 41232877 relations and 38860850 unique ideals
  130. Fri Feb 15 11:50:31 2019 reduce to 40826198 relations and 34780365 ideals in 7 passes
  131. Fri Feb 15 11:50:31 2019 max relations containing the same ideal: 93
  132. Fri Feb 15 11:50:44 2019 removing 5672429 relations and 3672429 ideals in 2000000 cliques
  133. Fri Feb 15 11:50:46 2019 commencing in-memory singleton removal
  134. Fri Feb 15 11:50:48 2019 begin with 35153769 relations and 34780365 unique ideals
  135. Fri Feb 15 11:51:04 2019 reduce to 34691866 relations and 30626942 ideals in 8 passes
  136. Fri Feb 15 11:51:04 2019 max relations containing the same ideal: 82
  137. Fri Feb 15 11:51:16 2019 removing 5687042 relations and 3687042 ideals in 2000000 cliques
  138. Fri Feb 15 11:51:17 2019 commencing in-memory singleton removal
  139. Fri Feb 15 11:51:19 2019 begin with 29004824 relations and 30626942 unique ideals
  140. Fri Feb 15 11:51:30 2019 reduce to 28460817 relations and 26369694 ideals in 7 passes
  141. Fri Feb 15 11:51:30 2019 max relations containing the same ideal: 71
  142. Fri Feb 15 11:51:40 2019 removing 3827192 relations and 2584122 ideals in 1243070 cliques
  143. Fri Feb 15 11:51:41 2019 commencing in-memory singleton removal
  144. Fri Feb 15 11:51:42 2019 begin with 24633625 relations and 26369694 unique ideals
  145. Fri Feb 15 11:51:53 2019 reduce to 24290542 relations and 23429211 ideals in 8 passes
  146. Fri Feb 15 11:51:53 2019 max relations containing the same ideal: 62
  147. Fri Feb 15 11:52:01 2019 removing 79880 relations and 66602 ideals in 13278 cliques
  148. Fri Feb 15 11:52:02 2019 commencing in-memory singleton removal
  149. Fri Feb 15 11:52:03 2019 begin with 24210662 relations and 23429211 unique ideals
  150. Fri Feb 15 11:52:09 2019 reduce to 24210485 relations and 23362432 ideals in 4 passes
  151. Fri Feb 15 11:52:09 2019 max relations containing the same ideal: 62
  152. Fri Feb 15 11:52:12 2019 relations with 0 large ideals: 50173
  153. Fri Feb 15 11:52:12 2019 relations with 1 large ideals: 15430
  154. Fri Feb 15 11:52:12 2019 relations with 2 large ideals: 192842
  155. Fri Feb 15 11:52:12 2019 relations with 3 large ideals: 1094693
  156. Fri Feb 15 11:52:12 2019 relations with 4 large ideals: 3273158
  157. Fri Feb 15 11:52:12 2019 relations with 5 large ideals: 5743233
  158. Fri Feb 15 11:52:12 2019 relations with 6 large ideals: 6233696
  159. Fri Feb 15 11:52:12 2019 relations with 7+ large ideals: 7607260
  160. Fri Feb 15 11:52:12 2019 commencing 2-way merge
  161. Fri Feb 15 11:52:22 2019 reduce to 16598609 relation sets and 15750556 unique ideals
  162. Fri Feb 15 11:52:22 2019 commencing full merge
  163. Fri Feb 15 11:57:46 2019 memory use: 2170.1 MB
  164. Fri Feb 15 11:57:48 2019 found 7380942 cycles, need 7370756
  165. Fri Feb 15 11:57:50 2019 weight of 7370756 cycles is about 914041330 (124.01/cycle)
  166. Fri Feb 15 11:57:50 2019 distribution of cycle lengths:
  167. Fri Feb 15 11:57:50 2019 1 relations: 246448
  168. Fri Feb 15 11:57:50 2019 2 relations: 344485
  169. Fri Feb 15 11:57:50 2019 3 relations: 429794
  170. Fri Feb 15 11:57:50 2019 4 relations: 472793
  171. Fri Feb 15 11:57:50 2019 5 relations: 506781
  172. Fri Feb 15 11:57:50 2019 6 relations: 520650
  173. Fri Feb 15 11:57:50 2019 7 relations: 521064
  174. Fri Feb 15 11:57:50 2019 8 relations: 509207
  175. Fri Feb 15 11:57:50 2019 9 relations: 486199
  176. Fri Feb 15 11:57:50 2019 10+ relations: 3333335
  177. Fri Feb 15 11:57:50 2019 heaviest cycle: 28 relations
  178. Fri Feb 15 11:57:51 2019 commencing cycle optimization
  179. Fri Feb 15 11:58:05 2019 start with 71402716 relations
  180. Fri Feb 15 12:00:25 2019 pruned 4152542 relations
  181. Fri Feb 15 12:00:26 2019 memory use: 1737.7 MB
  182. Fri Feb 15 12:00:26 2019 distribution of cycle lengths:
  183. Fri Feb 15 12:00:26 2019 1 relations: 246448
  184. Fri Feb 15 12:00:26 2019 2 relations: 352964
  185. Fri Feb 15 12:00:26 2019 3 relations: 448177
  186. Fri Feb 15 12:00:26 2019 4 relations: 495365
  187. Fri Feb 15 12:00:26 2019 5 relations: 537924
  188. Fri Feb 15 12:00:26 2019 6 relations: 554096
  189. Fri Feb 15 12:00:26 2019 7 relations: 559555
  190. Fri Feb 15 12:00:26 2019 8 relations: 544682
  191. Fri Feb 15 12:00:26 2019 9 relations: 520341
  192. Fri Feb 15 12:00:26 2019 10+ relations: 3111204
  193. Fri Feb 15 12:00:26 2019 heaviest cycle: 28 relations
  194. Fri Feb 15 12:00:36 2019 RelProcTime: 5469
  195. Fri Feb 15 12:00:38 2019
  196. Fri Feb 15 12:00:38 2019 commencing linear algebra
  197. Fri Feb 15 12:00:39 2019 read 7370756 cycles
  198. Fri Feb 15 12:00:51 2019 cycles contain 23828485 unique relations
  199. Fri Feb 15 12:02:52 2019 read 23828485 relations
  200. Fri Feb 15 12:03:25 2019 using 20 quadratic characters above 4294917295
  201. Fri Feb 15 12:04:42 2019 building initial matrix
  202. Fri Feb 15 12:08:28 2019 memory use: 2992.5 MB
  203. Fri Feb 15 12:08:30 2019 read 7370756 cycles
  204. Fri Feb 15 12:08:31 2019 matrix is 7370579 x 7370756 (3521.6 MB) with weight 1003323002 (136.12/col)
  205. Fri Feb 15 12:08:31 2019 sparse part has weight 842090590 (114.25/col)
  206. Fri Feb 15 12:09:42 2019 filtering completed in 2 passes
  207. Fri Feb 15 12:09:43 2019 matrix is 7370533 x 7370710 (3521.6 MB) with weight 1003321432 (136.12/col)
  208. Fri Feb 15 12:09:43 2019 sparse part has weight 842090022 (114.25/col)
  209. Fri Feb 15 12:09:58 2019 matrix starts at (0, 0)
  210. Fri Feb 15 12:09:59 2019 matrix is 7370533 x 7370710 (3521.6 MB) with weight 1003321432 (136.12/col)
  211. Fri Feb 15 12:09:59 2019 sparse part has weight 842090022 (114.25/col)
  212. Fri Feb 15 12:09:59 2019 saving the first 48 matrix rows for later
  213. Fri Feb 15 12:10:00 2019 matrix includes 64 packed rows
  214. Fri Feb 15 12:10:01 2019 matrix is 7370485 x 7370710 (3368.3 MB) with weight 868476819 (117.83/col)
  215. Fri Feb 15 12:10:01 2019 sparse part has weight 809272294 (109.80/col)
  216. Fri Feb 15 12:10:01 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  217. Fri Feb 15 12:10:23 2019 commencing Lanczos iteration (4 threads)
  218. Fri Feb 15 12:10:23 2019 memory use: 3210.5 MB
  219. Fri Feb 15 12:10:52 2019 linear algebra at 0.0%, ETA 37h49m
  220. Fri Feb 15 12:11:01 2019 checkpointing every 200000 dimensions
  221. Fri Feb 15 12:11:15 2019 lanczos halted after 44 iterations (dim = 2776)
  222. Fri Feb 15 12:11:15 2019 BLanczosTime: 637
  223. Fri Feb 15 12:11:15 2019
  224. Fri Feb 15 12:11:15 2019 commencing square root phase
  225. Fri Feb 15 12:11:15 2019 handling dependencies 1 to 64
  226. Fri Feb 15 12:11:15 2019 reading relations for dependency 1
  227. Fri Feb 15 12:11:15 2019 error: read_cycles can't open dependency file
  228. Fri Feb 15 12:12:26 2019
  229. Fri Feb 15 12:12:26 2019
  230. Fri Feb 15 12:12:26 2019 Msieve v. 1.54 (SVN 1025)
  231. Fri Feb 15 12:12:26 2019 random seeds: 1496fc15 c855f556
  232. Fri Feb 15 12:12:26 2019 factoring 891347703276396189391795049746278719582197644073369459144339691046698998534105083695619205508739974294190187088301039165902275310124006673988361342690023322718368622172628150557552024657987965639981080444257 (207 digits)
  233. Fri Feb 15 12:12:26 2019 searching for 15-digit factors
  234. Fri Feb 15 12:12:27 2019 commencing number field sieve (207-digit input)
  235. Fri Feb 15 12:12:27 2019 R0: 8505622499821102144576131684114829934592
  236. Fri Feb 15 12:12:27 2019 R1: -72759576141834259033203125
  237. Fri Feb 15 12:12:27 2019 A0: 1
  238. Fri Feb 15 12:12:27 2019 A1: 1
  239. Fri Feb 15 12:12:27 2019 A2: 1
  240. Fri Feb 15 12:12:27 2019 A3: 1
  241. Fri Feb 15 12:12:27 2019 A4: 1
  242. Fri Feb 15 12:12:27 2019 A5: 1
  243. Fri Feb 15 12:12:27 2019 A6: 1
  244. Fri Feb 15 12:12:27 2019 skew 1.00, size 7.593e-12, alpha 2.428, combined = 5.214e-13 rroots = 0
  245. Fri Feb 15 12:12:27 2019
  246. Fri Feb 15 12:12:27 2019 commencing relation filtering
  247. Fri Feb 15 12:12:27 2019 setting max relations to 206100000
  248. Fri Feb 15 12:12:27 2019 setting target matrix density to 140.0
  249. Fri Feb 15 12:12:27 2019 estimated available RAM is 15988.9 MB
  250. Fri Feb 15 12:12:27 2019 commencing duplicate removal, pass 1
  251. Fri Feb 15 12:25:30 2019 error -5 reading relation 121269362
  252. Fri Feb 15 12:29:03 2019 error -15 reading relation 154228670
  253. Fri Feb 15 12:30:14 2019 error -5 reading relation 165041733
  254. Fri Feb 15 12:31:29 2019 error -15 reading relation 176707259
  255. Fri Feb 15 12:34:38 2019 skipped 70 relations with b > 2^32
  256. Fri Feb 15 12:34:38 2019 skipped 3 relations with composite factors
  257. Fri Feb 15 12:34:38 2019 found 9297544 hash collisions in 206099923 relations
  258. Fri Feb 15 12:34:38 2019 commencing duplicate removal, pass 2
  259. Fri Feb 15 12:35:20 2019 found 0 duplicates and 206099923 unique relations
  260. Fri Feb 15 12:35:20 2019 memory use: 522.4 MB
  261. Fri Feb 15 12:35:20 2019 reading ideals above 129957888
  262. Fri Feb 15 12:35:20 2019 commencing singleton removal, initial pass
  263. Fri Feb 15 12:51:24 2019 memory use: 3012.0 MB
  264. Fri Feb 15 12:51:24 2019 reading all ideals from disk
  265. Fri Feb 15 12:51:29 2019 memory use: 3521.8 MB
  266. Fri Feb 15 12:51:36 2019 commencing in-memory singleton removal
  267. Fri Feb 15 12:51:42 2019 begin with 206099923 relations and 162827283 unique ideals
  268. Fri Feb 15 12:53:01 2019 reduce to 141998957 relations and 92826868 ideals in 12 passes
  269. Fri Feb 15 12:53:01 2019 max relations containing the same ideal: 44
  270. Fri Feb 15 12:53:07 2019 reading ideals above 720000
  271. Fri Feb 15 12:53:07 2019 commencing singleton removal, initial pass
  272. Fri Feb 15 13:07:54 2019 memory use: 2756.0 MB
  273. Fri Feb 15 13:07:54 2019 reading all ideals from disk
  274. Fri Feb 15 13:08:03 2019 memory use: 5513.5 MB
  275. Fri Feb 15 13:08:18 2019 keeping 106852939 ideals with weight <= 200, target excess is 723879
  276. Fri Feb 15 13:08:33 2019 commencing in-memory singleton removal
  277. Fri Feb 15 13:08:44 2019 begin with 141998957 relations and 106852939 unique ideals
  278. Fri Feb 15 13:09:28 2019 reduce to 141998927 relations and 106852909 ideals in 4 passes
  279. Fri Feb 15 13:09:28 2019 max relations containing the same ideal: 200
  280. Fri Feb 15 13:10:17 2019 removing 9939895 relations and 7939895 ideals in 2000000 cliques
  281. Fri Feb 15 13:10:19 2019 commencing in-memory singleton removal
  282. Fri Feb 15 13:10:28 2019 begin with 132059032 relations and 106852909 unique ideals
  283. Fri Feb 15 13:11:39 2019 reduce to 131546929 relations and 98391953 ideals in 8 passes
  284. Fri Feb 15 13:11:39 2019 max relations containing the same ideal: 198
  285. Fri Feb 15 13:12:23 2019 removing 7586389 relations and 5586389 ideals in 2000000 cliques
  286. Fri Feb 15 13:12:25 2019 commencing in-memory singleton removal
  287. Fri Feb 15 13:12:33 2019 begin with 123960540 relations and 98391953 unique ideals
  288. Fri Feb 15 13:13:23 2019 reduce to 123613494 relations and 92453225 ideals in 6 passes
  289. Fri Feb 15 13:13:23 2019 max relations containing the same ideal: 193
  290. Fri Feb 15 13:14:03 2019 removing 6901945 relations and 4901945 ideals in 2000000 cliques
  291. Fri Feb 15 13:14:06 2019 commencing in-memory singleton removal
  292. Fri Feb 15 13:14:13 2019 begin with 116711549 relations and 92453225 unique ideals
  293. Fri Feb 15 13:15:07 2019 reduce to 116409760 relations and 87244869 ideals in 7 passes
  294. Fri Feb 15 13:15:07 2019 max relations containing the same ideal: 186
  295. Fri Feb 15 13:15:46 2019 removing 6551384 relations and 4551384 ideals in 2000000 cliques
  296. Fri Feb 15 13:15:48 2019 commencing in-memory singleton removal
  297. Fri Feb 15 13:15:55 2019 begin with 109858376 relations and 87244869 unique ideals
  298. Fri Feb 15 13:16:45 2019 reduce to 109579716 relations and 82410338 ideals in 7 passes
  299. Fri Feb 15 13:16:45 2019 max relations containing the same ideal: 179
  300. Fri Feb 15 13:17:22 2019 removing 6328902 relations and 4328902 ideals in 2000000 cliques
  301. Fri Feb 15 13:17:24 2019 commencing in-memory singleton removal
  302. Fri Feb 15 13:17:30 2019 begin with 103250814 relations and 82410338 unique ideals
  303. Fri Feb 15 13:18:17 2019 reduce to 102984571 relations and 77810965 ideals in 7 passes
  304. Fri Feb 15 13:18:17 2019 max relations containing the same ideal: 174
  305. Fri Feb 15 13:18:51 2019 removing 6173105 relations and 4173105 ideals in 2000000 cliques
  306. Fri Feb 15 13:18:54 2019 commencing in-memory singleton removal
  307. Fri Feb 15 13:18:59 2019 begin with 96811466 relations and 77810965 unique ideals
  308. Fri Feb 15 13:19:43 2019 reduce to 96550840 relations and 73372751 ideals in 7 passes
  309. Fri Feb 15 13:19:43 2019 max relations containing the same ideal: 167
  310. Fri Feb 15 13:20:16 2019 removing 6061381 relations and 4061381 ideals in 2000000 cliques
  311. Fri Feb 15 13:20:18 2019 commencing in-memory singleton removal
  312. Fri Feb 15 13:20:23 2019 begin with 90489459 relations and 73372751 unique ideals
  313. Fri Feb 15 13:21:04 2019 reduce to 90229606 relations and 69046639 ideals in 7 passes
  314. Fri Feb 15 13:21:04 2019 max relations containing the same ideal: 158
  315. Fri Feb 15 13:21:34 2019 removing 5974506 relations and 3974506 ideals in 2000000 cliques
  316. Fri Feb 15 13:21:36 2019 commencing in-memory singleton removal
  317. Fri Feb 15 13:21:41 2019 begin with 84255100 relations and 69046639 unique ideals
  318. Fri Feb 15 13:22:13 2019 reduce to 83990669 relations and 64802545 ideals in 6 passes
  319. Fri Feb 15 13:22:13 2019 max relations containing the same ideal: 149
  320. Fri Feb 15 13:22:42 2019 removing 5909737 relations and 3909737 ideals in 2000000 cliques
  321. Fri Feb 15 13:22:44 2019 commencing in-memory singleton removal
  322. Fri Feb 15 13:22:48 2019 begin with 78080932 relations and 64802545 unique ideals
  323. Fri Feb 15 13:23:18 2019 reduce to 77810181 relations and 60616401 ideals in 6 passes
  324. Fri Feb 15 13:23:18 2019 max relations containing the same ideal: 144
  325. Fri Feb 15 13:23:44 2019 removing 5859911 relations and 3859911 ideals in 2000000 cliques
  326. Fri Feb 15 13:23:46 2019 commencing in-memory singleton removal
  327. Fri Feb 15 13:23:50 2019 begin with 71950270 relations and 60616401 unique ideals
  328. Fri Feb 15 13:24:22 2019 reduce to 71670730 relations and 56470697 ideals in 7 passes
  329. Fri Feb 15 13:24:22 2019 max relations containing the same ideal: 136
  330. Fri Feb 15 13:24:46 2019 removing 5826817 relations and 3826817 ideals in 2000000 cliques
  331. Fri Feb 15 13:24:48 2019 commencing in-memory singleton removal
  332. Fri Feb 15 13:24:52 2019 begin with 65843913 relations and 56470697 unique ideals
  333. Fri Feb 15 13:25:17 2019 reduce to 65551244 relations and 52344136 ideals in 6 passes
  334. Fri Feb 15 13:25:17 2019 max relations containing the same ideal: 128
  335. Fri Feb 15 13:25:39 2019 removing 5800873 relations and 3800873 ideals in 2000000 cliques
  336. Fri Feb 15 13:25:41 2019 commencing in-memory singleton removal
  337. Fri Feb 15 13:25:44 2019 begin with 59750371 relations and 52344136 unique ideals
  338. Fri Feb 15 13:26:06 2019 reduce to 59440103 relations and 48224975 ideals in 6 passes
  339. Fri Feb 15 13:26:06 2019 max relations containing the same ideal: 122
  340. Fri Feb 15 13:26:27 2019 removing 5781855 relations and 3781855 ideals in 2000000 cliques
  341. Fri Feb 15 13:26:28 2019 commencing in-memory singleton removal
  342. Fri Feb 15 13:26:31 2019 begin with 53658248 relations and 48224975 unique ideals
  343. Fri Feb 15 13:26:51 2019 reduce to 53325186 relations and 44100618 ideals in 6 passes
  344. Fri Feb 15 13:26:51 2019 max relations containing the same ideal: 117
  345. Fri Feb 15 13:27:09 2019 removing 5773944 relations and 3773944 ideals in 2000000 cliques
  346. Fri Feb 15 13:27:11 2019 commencing in-memory singleton removal
  347. Fri Feb 15 13:27:14 2019 begin with 47551242 relations and 44100618 unique ideals
  348. Fri Feb 15 13:27:37 2019 reduce to 47186624 relations and 39950580 ideals in 8 passes
  349. Fri Feb 15 13:27:37 2019 max relations containing the same ideal: 106
  350. Fri Feb 15 13:27:53 2019 removing 5775228 relations and 3775228 ideals in 2000000 cliques
  351. Fri Feb 15 13:27:54 2019 commencing in-memory singleton removal
  352. Fri Feb 15 13:27:57 2019 begin with 41411396 relations and 39950580 unique ideals
  353. Fri Feb 15 13:28:16 2019 reduce to 41001266 relations and 35750842 ideals in 8 passes
  354. Fri Feb 15 13:28:16 2019 max relations containing the same ideal: 95
  355. Fri Feb 15 13:28:31 2019 removing 5788628 relations and 3788628 ideals in 2000000 cliques
  356. Fri Feb 15 13:28:32 2019 commencing in-memory singleton removal
  357. Fri Feb 15 13:28:34 2019 begin with 35212638 relations and 35750842 unique ideals
  358. Fri Feb 15 13:28:48 2019 reduce to 34736204 relations and 31466398 ideals in 7 passes
  359. Fri Feb 15 13:28:48 2019 max relations containing the same ideal: 84
  360. Fri Feb 15 13:29:00 2019 removing 5823165 relations and 3823165 ideals in 2000000 cliques
  361. Fri Feb 15 13:29:02 2019 commencing in-memory singleton removal
  362. Fri Feb 15 13:29:03 2019 begin with 28913039 relations and 31466398 unique ideals
  363. Fri Feb 15 13:29:17 2019 reduce to 28323132 relations and 27025336 ideals in 8 passes
  364. Fri Feb 15 13:29:17 2019 max relations containing the same ideal: 75
  365. Fri Feb 15 13:29:27 2019 removing 1765316 relations and 1307220 ideals in 458096 cliques
  366. Fri Feb 15 13:29:27 2019 commencing in-memory singleton removal
  367. Fri Feb 15 13:29:29 2019 begin with 26557816 relations and 27025336 unique ideals
  368. Fri Feb 15 13:29:40 2019 reduce to 26476861 relations and 25636028 ideals in 7 passes
  369. Fri Feb 15 13:29:40 2019 max relations containing the same ideal: 73
  370. Fri Feb 15 13:29:52 2019 relations with 0 large ideals: 0
  371. Fri Feb 15 13:29:52 2019 relations with 1 large ideals: 12670
  372. Fri Feb 15 13:29:52 2019 relations with 2 large ideals: 191511
  373. Fri Feb 15 13:29:52 2019 relations with 3 large ideals: 1135838
  374. Fri Feb 15 13:29:52 2019 relations with 4 large ideals: 3525469
  375. Fri Feb 15 13:29:52 2019 relations with 5 large ideals: 6412844
  376. Fri Feb 15 13:29:52 2019 relations with 6 large ideals: 7197461
  377. Fri Feb 15 13:29:52 2019 relations with 7+ large ideals: 8001068
  378. Fri Feb 15 13:29:52 2019 commencing 2-way merge
  379. Fri Feb 15 13:30:04 2019 reduce to 17778846 relation sets and 16938013 unique ideals
  380. Fri Feb 15 13:30:04 2019 commencing full merge
  381. Fri Feb 15 13:35:17 2019 memory use: 2180.2 MB
  382. Fri Feb 15 13:35:19 2019 found 7682300 cycles, need 7662213
  383. Fri Feb 15 13:35:21 2019 weight of 7662213 cycles is about 1073743819 (140.13/cycle)
  384. Fri Feb 15 13:35:21 2019 distribution of cycle lengths:
  385. Fri Feb 15 13:35:21 2019 1 relations: 132549
  386. Fri Feb 15 13:35:21 2019 2 relations: 317567
  387. Fri Feb 15 13:35:21 2019 3 relations: 421629
  388. Fri Feb 15 13:35:21 2019 4 relations: 469293
  389. Fri Feb 15 13:35:21 2019 5 relations: 515436
  390. Fri Feb 15 13:35:21 2019 6 relations: 532332
  391. Fri Feb 15 13:35:21 2019 7 relations: 543245
  392. Fri Feb 15 13:35:21 2019 8 relations: 533195
  393. Fri Feb 15 13:35:21 2019 9 relations: 517998
  394. Fri Feb 15 13:35:21 2019 10+ relations: 3678969
  395. Fri Feb 15 13:35:21 2019 heaviest cycle: 28 relations
  396. Fri Feb 15 13:35:23 2019 commencing cycle optimization
  397. Fri Feb 15 13:35:37 2019 start with 76995922 relations
  398. Fri Feb 15 13:38:05 2019 pruned 4410842 relations
  399. Fri Feb 15 13:38:05 2019 memory use: 1890.0 MB
  400. Fri Feb 15 13:38:05 2019 distribution of cycle lengths:
  401. Fri Feb 15 13:38:05 2019 1 relations: 132549
  402. Fri Feb 15 13:38:05 2019 2 relations: 327660
  403. Fri Feb 15 13:38:05 2019 3 relations: 442380
  404. Fri Feb 15 13:38:05 2019 4 relations: 493699
  405. Fri Feb 15 13:38:05 2019 5 relations: 548002
  406. Fri Feb 15 13:38:05 2019 6 relations: 566837
  407. Fri Feb 15 13:38:05 2019 7 relations: 582503
  408. Fri Feb 15 13:38:05 2019 8 relations: 570170
  409. Fri Feb 15 13:38:05 2019 9 relations: 553777
  410. Fri Feb 15 13:38:05 2019 10+ relations: 3444636
  411. Fri Feb 15 13:38:05 2019 heaviest cycle: 28 relations
  412. Fri Feb 15 13:38:19 2019 RelProcTime: 5152
  413. Fri Feb 15 13:38:19 2019
  414. Fri Feb 15 13:38:19 2019 commencing linear algebra
  415. Fri Feb 15 13:38:19 2019 read 7662213 cycles
  416. Fri Feb 15 13:38:33 2019 cycles contain 26097114 unique relations
  417. Fri Feb 15 13:40:29 2019 read 26097114 relations
  418. Fri Feb 15 13:41:07 2019 using 20 quadratic characters above 4294917295
  419. Fri Feb 15 13:42:32 2019 building initial matrix
  420. Fri Feb 15 13:46:50 2019 memory use: 3285.2 MB
  421. Fri Feb 15 13:46:53 2019 read 7662213 cycles
  422. Fri Feb 15 13:46:54 2019 matrix is 7662036 x 7662213 (4050.7 MB) with weight 1150055894 (150.09/col)
  423. Fri Feb 15 13:46:54 2019 sparse part has weight 977577062 (127.58/col)
  424. Fri Feb 15 13:48:24 2019 filtering completed in 2 passes
  425. Fri Feb 15 13:48:25 2019 matrix is 7662001 x 7662178 (4050.7 MB) with weight 1150054429 (150.09/col)
  426. Fri Feb 15 13:48:25 2019 sparse part has weight 977576415 (127.58/col)
  427. Fri Feb 15 13:48:44 2019 matrix starts at (0, 0)
  428. Fri Feb 15 13:48:45 2019 matrix is 7662001 x 7662178 (4050.7 MB) with weight 1150054429 (150.09/col)
  429. Fri Feb 15 13:48:45 2019 sparse part has weight 977576415 (127.58/col)
  430. Fri Feb 15 13:48:45 2019 saving the first 48 matrix rows for later
  431. Fri Feb 15 13:48:46 2019 matrix includes 64 packed rows
  432. Fri Feb 15 13:48:47 2019 matrix is 7661953 x 7662178 (3871.6 MB) with weight 1004849588 (131.14/col)
  433. Fri Feb 15 13:48:47 2019 sparse part has weight 938301170 (122.46/col)
  434. Fri Feb 15 13:48:47 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  435. Fri Feb 15 13:49:14 2019 commencing Lanczos iteration (4 threads)
  436. Fri Feb 15 13:49:14 2019 memory use: 3646.7 MB
  437. Fri Feb 15 13:49:45 2019 linear algebra at 0.0%, ETA 41h58m
  438. Fri Feb 15 13:49:55 2019 checkpointing every 190000 dimensions
  439. Fri Feb 15 14:00:40 2019 lanczos halted after 548 iterations (dim = 34653)
  440. Fri Feb 15 14:00:40 2019 BLanczosTime: 1341
  441. Fri Feb 15 14:00:40 2019
  442. Fri Feb 15 14:00:40 2019 commencing square root phase
  443. Fri Feb 15 14:00:40 2019 handling dependencies 1 to 64
  444. Fri Feb 15 14:00:40 2019 reading relations for dependency 1
  445. Fri Feb 15 14:00:40 2019 error: read_cycles can't open dependency file
  446. Fri Feb 15 14:05:22 2019
  447. Fri Feb 15 14:05:22 2019
  448. Fri Feb 15 14:05:22 2019 Msieve v. 1.54 (SVN 1025)
  449. Fri Feb 15 14:05:22 2019 random seeds: 875689f9 5ac9716c
  450. Fri Feb 15 14:05:22 2019 factoring 891347703276396189391795049746278719582197644073369459144339691046698998534105083695619205508739974294190187088301039165902275310124006673988361342690023322718368622172628150557552024657987965639981080444257 (207 digits)
  451. Fri Feb 15 14:05:23 2019 searching for 15-digit factors
  452. Fri Feb 15 14:05:23 2019 commencing number field sieve (207-digit input)
  453. Fri Feb 15 14:05:23 2019 R0: 8505622499821102144576131684114829934592
  454. Fri Feb 15 14:05:23 2019 R1: -72759576141834259033203125
  455. Fri Feb 15 14:05:23 2019 A0: 1
  456. Fri Feb 15 14:05:23 2019 A1: 1
  457. Fri Feb 15 14:05:23 2019 A2: 1
  458. Fri Feb 15 14:05:23 2019 A3: 1
  459. Fri Feb 15 14:05:23 2019 A4: 1
  460. Fri Feb 15 14:05:23 2019 A5: 1
  461. Fri Feb 15 14:05:23 2019 A6: 1
  462. Fri Feb 15 14:05:23 2019 skew 1.00, size 7.593e-12, alpha 2.428, combined = 5.214e-13 rroots = 0
  463. Fri Feb 15 14:05:23 2019
  464. Fri Feb 15 14:05:23 2019 commencing linear algebra
  465. Fri Feb 15 14:05:23 2019 skipping matrix build
  466. Fri Feb 15 14:05:27 2019 matrix starts at (0, 0)
  467. Fri Feb 15 14:05:28 2019 matrix is 7370533 x 7370710 (3521.6 MB) with weight 1003321432 (136.12/col)
  468. Fri Feb 15 14:05:28 2019 sparse part has weight 842090022 (114.25/col)
  469. Fri Feb 15 14:05:28 2019 saving the first 48 matrix rows for later
  470. Fri Feb 15 14:05:30 2019 matrix includes 64 packed rows
  471. Fri Feb 15 14:05:31 2019 matrix is 7370485 x 7370710 (3368.3 MB) with weight 868476819 (117.83/col)
  472. Fri Feb 15 14:05:31 2019 sparse part has weight 809272294 (109.80/col)
  473. Fri Feb 15 14:05:31 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  474. Fri Feb 15 14:05:55 2019 commencing Lanczos iteration (4 threads)
  475. Fri Feb 15 14:05:55 2019 memory use: 3210.6 MB
  476. Fri Feb 15 14:06:23 2019 linear algebra at 0.0%, ETA 36h47m
  477. Fri Feb 15 14:06:32 2019 checkpointing every 210000 dimensions
  478. Sat Feb 16 23:50:16 2019 lanczos halted after 116558 iterations (dim = 7370484)
  479. Sat Feb 16 23:50:27 2019 recovered 38 nontrivial dependencies
  480. Sat Feb 16 23:50:27 2019 BLanczosTime: 121504
  481. Sat Feb 16 23:50:27 2019
  482. Sat Feb 16 23:50:27 2019 commencing square root phase
  483. Sat Feb 16 23:50:27 2019 handling dependencies 1 to 64
  484. Sat Feb 16 23:50:27 2019 reading relations for dependency 1
  485. Sat Feb 16 23:50:28 2019 read 3686211 cycles
  486. Sat Feb 16 23:50:34 2019 cycles contain 11913182 unique relations
  487. Sat Feb 16 23:51:41 2019 read 11913182 relations
  488. Sat Feb 16 23:52:17 2019 multiplying 11913182 relations
  489. Sat Feb 16 23:58:07 2019 multiply complete, coefficients have about 295.96 million bits
  490. Sat Feb 16 23:58:09 2019 initial square root is modulo 204431
  491. Sun Feb 17 00:04:37 2019 GCD is N, no factor found
  492. Sun Feb 17 00:04:37 2019 reading relations for dependency 2
  493. Sun Feb 17 00:04:38 2019 read 3684962 cycles
  494. Sun Feb 17 00:04:44 2019 cycles contain 11912436 unique relations
  495. Sun Feb 17 00:05:51 2019 read 11912436 relations
  496. Sun Feb 17 00:06:26 2019 multiplying 11912436 relations
  497. Sun Feb 17 00:12:18 2019 multiply complete, coefficients have about 295.95 million bits
  498. Sun Feb 17 00:12:19 2019 initial square root is modulo 204319
  499. Sun Feb 17 00:18:50 2019 GCD is N, no factor found
  500. Sun Feb 17 00:18:50 2019 reading relations for dependency 3
  501. Sun Feb 17 00:18:51 2019 read 3683743 cycles
  502. Sun Feb 17 00:18:56 2019 cycles contain 11913454 unique relations
  503. Sun Feb 17 00:20:04 2019 read 11913454 relations
  504. Sun Feb 17 00:20:39 2019 multiplying 11913454 relations
  505. Sun Feb 17 00:26:29 2019 multiply complete, coefficients have about 295.97 million bits
  506. Sun Feb 17 00:26:30 2019 initial square root is modulo 204517
  507. Sun Feb 17 00:33:01 2019 sqrtTime: 2554
  508. Sun Feb 17 00:33:01 2019 p77 factor: 21953820858833482644385834863302487678748604579115582745459985000188712952971
  509. Sun Feb 17 00:33:01 2019 p131 factor: 40601028358931320606041938005429201037666942123009975620407989450258156933711683167728466784265596035275595961745786112280086931267
  510. Sun Feb 17 00:33:01 2019 elapsed time 34:27:39
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