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7p3_337

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Nov 3rd, 2019
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  1. Fri Nov 1 16:28:11 2019
  2. Fri Nov 1 16:28:11 2019
  3. Fri Nov 1 16:28:11 2019 Msieve v. 1.54 (SVN 1025)
  4. Fri Nov 1 16:28:11 2019 random seeds: c10d0280 5f79703f
  5. Fri Nov 1 16:28:11 2019 factoring 2562810328054118580480731547700065652428864277125427783932602046303546421653129347426729318507827857663947461146342235834703592459076351919812809016809820690265878909 (166 digits)
  6. Fri Nov 1 16:28:12 2019 searching for 15-digit factors
  7. Fri Nov 1 16:28:12 2019 commencing number field sieve (166-digit input)
  8. Fri Nov 1 16:28:12 2019 R0: -297919384529201415439356921343934
  9. Fri Nov 1 16:28:12 2019 R1: 22526704685822903
  10. Fri Nov 1 16:28:12 2019 A0: -99971386701367240378344369624266020222575
  11. Fri Nov 1 16:28:12 2019 A1: 3643985660003385648783812572458885
  12. Fri Nov 1 16:28:12 2019 A2: 459756051800436007982867166
  13. Fri Nov 1 16:28:12 2019 A3: -8483648216297888601
  14. Fri Nov 1 16:28:12 2019 A4: 554571164585
  15. Fri Nov 1 16:28:12 2019 A5: 1092
  16. Fri Nov 1 16:28:12 2019 skew 43495969.73, size 3.555e-16, alpha -6.460, combined = 6.087e-13 rroots = 3
  17. Fri Nov 1 16:28:12 2019
  18. Fri Nov 1 16:28:12 2019 commencing relation filtering
  19. Fri Nov 1 16:28:12 2019 setting max relations to 210000000
  20. Fri Nov 1 16:28:12 2019 setting target matrix density to 144.0
  21. Fri Nov 1 16:28:12 2019 estimated available RAM is 15984.7 MB
  22. Fri Nov 1 16:28:12 2019 commencing duplicate removal, pass 1
  23. Fri Nov 1 16:45:33 2019 error -1 reading relation 150618327
  24. Fri Nov 1 16:47:02 2019 error -1 reading relation 163505969
  25. Fri Nov 1 16:47:14 2019 error -1 reading relation 165177767
  26. Fri Nov 1 16:47:20 2019 error -11 reading relation 166074359
  27. Fri Nov 1 16:49:06 2019 error -15 reading relation 181295247
  28. Fri Nov 1 16:52:22 2019 error -1 reading relation 209594161
  29. Fri Nov 1 16:52:25 2019 skipped 1 relations with composite factors
  30. Fri Nov 1 16:52:25 2019 found 9626509 hash collisions in 209999993 relations
  31. Fri Nov 1 16:52:25 2019 commencing duplicate removal, pass 2
  32. Fri Nov 1 16:53:17 2019 found 20 duplicates and 209999973 unique relations
  33. Fri Nov 1 16:53:17 2019 memory use: 522.4 MB
  34. Fri Nov 1 16:53:17 2019 reading ideals above 139919360
  35. Fri Nov 1 16:53:17 2019 commencing singleton removal, initial pass
  36. Fri Nov 1 17:10:25 2019 memory use: 3012.0 MB
  37. Fri Nov 1 17:10:25 2019 reading all ideals from disk
  38. Fri Nov 1 17:10:31 2019 memory use: 3511.3 MB
  39. Fri Nov 1 17:10:38 2019 commencing in-memory singleton removal
  40. Fri Nov 1 17:10:44 2019 begin with 209999973 relations and 161345709 unique ideals
  41. Fri Nov 1 17:11:53 2019 reduce to 147022266 relations and 92727715 ideals in 12 passes
  42. Fri Nov 1 17:11:53 2019 max relations containing the same ideal: 52
  43. Fri Nov 1 17:11:59 2019 reading ideals above 720000
  44. Fri Nov 1 17:11:59 2019 commencing singleton removal, initial pass
  45. Fri Nov 1 17:27:12 2019 memory use: 3012.0 MB
  46. Fri Nov 1 17:27:12 2019 reading all ideals from disk
  47. Fri Nov 1 17:27:23 2019 memory use: 5638.9 MB
  48. Fri Nov 1 17:27:37 2019 keeping 107789126 ideals with weight <= 200, target excess is 757228
  49. Fri Nov 1 17:27:52 2019 commencing in-memory singleton removal
  50. Fri Nov 1 17:28:03 2019 begin with 147022266 relations and 107789126 unique ideals
  51. Fri Nov 1 17:29:08 2019 reduce to 147018652 relations and 107785512 ideals in 6 passes
  52. Fri Nov 1 17:29:08 2019 max relations containing the same ideal: 200
  53. Fri Nov 1 17:29:58 2019 removing 9584228 relations and 7584228 ideals in 2000000 cliques
  54. Fri Nov 1 17:30:01 2019 commencing in-memory singleton removal
  55. Fri Nov 1 17:30:11 2019 begin with 137434424 relations and 107785512 unique ideals
  56. Fri Nov 1 17:31:31 2019 reduce to 136967414 relations and 99726197 ideals in 8 passes
  57. Fri Nov 1 17:31:31 2019 max relations containing the same ideal: 198
  58. Fri Nov 1 17:32:18 2019 removing 7325264 relations and 5325264 ideals in 2000000 cliques
  59. Fri Nov 1 17:32:21 2019 commencing in-memory singleton removal
  60. Fri Nov 1 17:32:30 2019 begin with 129642150 relations and 99726197 unique ideals
  61. Fri Nov 1 17:33:26 2019 reduce to 129328034 relations and 94082104 ideals in 6 passes
  62. Fri Nov 1 17:33:26 2019 max relations containing the same ideal: 196
  63. Fri Nov 1 17:34:10 2019 removing 6683152 relations and 4683152 ideals in 2000000 cliques
  64. Fri Nov 1 17:34:13 2019 commencing in-memory singleton removal
  65. Fri Nov 1 17:34:21 2019 begin with 122644882 relations and 94082104 unique ideals
  66. Fri Nov 1 17:35:23 2019 reduce to 122372704 relations and 89122665 ideals in 7 passes
  67. Fri Nov 1 17:35:23 2019 max relations containing the same ideal: 187
  68. Fri Nov 1 17:36:04 2019 removing 6352660 relations and 4352660 ideals in 2000000 cliques
  69. Fri Nov 1 17:36:07 2019 commencing in-memory singleton removal
  70. Fri Nov 1 17:36:15 2019 begin with 116020044 relations and 89122665 unique ideals
  71. Fri Nov 1 17:37:04 2019 reduce to 115771329 relations and 84517374 ideals in 6 passes
  72. Fri Nov 1 17:37:04 2019 max relations containing the same ideal: 182
  73. Fri Nov 1 17:37:44 2019 removing 6135792 relations and 4135792 ideals in 2000000 cliques
  74. Fri Nov 1 17:37:46 2019 commencing in-memory singleton removal
  75. Fri Nov 1 17:37:53 2019 begin with 109635537 relations and 84517374 unique ideals
  76. Fri Nov 1 17:38:40 2019 reduce to 109399075 relations and 80141230 ideals in 6 passes
  77. Fri Nov 1 17:38:40 2019 max relations containing the same ideal: 177
  78. Fri Nov 1 17:39:17 2019 removing 5984969 relations and 3984969 ideals in 2000000 cliques
  79. Fri Nov 1 17:39:19 2019 commencing in-memory singleton removal
  80. Fri Nov 1 17:39:26 2019 begin with 103414106 relations and 80141230 unique ideals
  81. Fri Nov 1 17:40:17 2019 reduce to 103182833 relations and 75921124 ideals in 7 passes
  82. Fri Nov 1 17:40:17 2019 max relations containing the same ideal: 171
  83. Fri Nov 1 17:40:52 2019 removing 5872510 relations and 3872510 ideals in 2000000 cliques
  84. Fri Nov 1 17:40:54 2019 commencing in-memory singleton removal
  85. Fri Nov 1 17:41:01 2019 begin with 97310323 relations and 75921124 unique ideals
  86. Fri Nov 1 17:41:41 2019 reduce to 97080550 relations and 71814740 ideals in 6 passes
  87. Fri Nov 1 17:41:41 2019 max relations containing the same ideal: 164
  88. Fri Nov 1 17:42:14 2019 removing 5785548 relations and 3785548 ideals in 2000000 cliques
  89. Fri Nov 1 17:42:16 2019 commencing in-memory singleton removal
  90. Fri Nov 1 17:42:23 2019 begin with 91295002 relations and 71814740 unique ideals
  91. Fri Nov 1 17:43:00 2019 reduce to 91065797 relations and 67795667 ideals in 6 passes
  92. Fri Nov 1 17:43:00 2019 max relations containing the same ideal: 158
  93. Fri Nov 1 17:43:32 2019 removing 5724369 relations and 3724369 ideals in 2000000 cliques
  94. Fri Nov 1 17:43:34 2019 commencing in-memory singleton removal
  95. Fri Nov 1 17:43:39 2019 begin with 85341428 relations and 67795667 unique ideals
  96. Fri Nov 1 17:44:14 2019 reduce to 85107584 relations and 63832859 ideals in 6 passes
  97. Fri Nov 1 17:44:14 2019 max relations containing the same ideal: 153
  98. Fri Nov 1 17:44:43 2019 removing 5668794 relations and 3668794 ideals in 2000000 cliques
  99. Fri Nov 1 17:44:45 2019 commencing in-memory singleton removal
  100. Fri Nov 1 17:44:51 2019 begin with 79438790 relations and 63832859 unique ideals
  101. Fri Nov 1 17:45:29 2019 reduce to 79198835 relations and 59918919 ideals in 7 passes
  102. Fri Nov 1 17:45:29 2019 max relations containing the same ideal: 148
  103. Fri Nov 1 17:45:56 2019 removing 5632318 relations and 3632318 ideals in 2000000 cliques
  104. Fri Nov 1 17:45:57 2019 commencing in-memory singleton removal
  105. Fri Nov 1 17:46:02 2019 begin with 73566517 relations and 59918919 unique ideals
  106. Fri Nov 1 17:46:37 2019 reduce to 73317138 relations and 56031638 ideals in 7 passes
  107. Fri Nov 1 17:46:37 2019 max relations containing the same ideal: 139
  108. Fri Nov 1 17:47:02 2019 removing 5605800 relations and 3605800 ideals in 2000000 cliques
  109. Fri Nov 1 17:47:04 2019 commencing in-memory singleton removal
  110. Fri Nov 1 17:47:08 2019 begin with 67711338 relations and 56031638 unique ideals
  111. Fri Nov 1 17:47:36 2019 reduce to 67449597 relations and 52157750 ideals in 6 passes
  112. Fri Nov 1 17:47:36 2019 max relations containing the same ideal: 130
  113. Fri Nov 1 17:47:59 2019 removing 5588021 relations and 3588021 ideals in 2000000 cliques
  114. Fri Nov 1 17:48:01 2019 commencing in-memory singleton removal
  115. Fri Nov 1 17:48:05 2019 begin with 61861576 relations and 52157750 unique ideals
  116. Fri Nov 1 17:48:30 2019 reduce to 61583585 relations and 48284340 ideals in 6 passes
  117. Fri Nov 1 17:48:30 2019 max relations containing the same ideal: 121
  118. Fri Nov 1 17:48:51 2019 removing 5580116 relations and 3580116 ideals in 2000000 cliques
  119. Fri Nov 1 17:48:52 2019 commencing in-memory singleton removal
  120. Fri Nov 1 17:48:56 2019 begin with 56003469 relations and 48284340 unique ideals
  121. Fri Nov 1 17:49:18 2019 reduce to 55705194 relations and 44397504 ideals in 6 passes
  122. Fri Nov 1 17:49:18 2019 max relations containing the same ideal: 114
  123. Fri Nov 1 17:49:37 2019 removing 5581484 relations and 3581484 ideals in 2000000 cliques
  124. Fri Nov 1 17:49:39 2019 commencing in-memory singleton removal
  125. Fri Nov 1 17:49:42 2019 begin with 50123710 relations and 44397504 unique ideals
  126. Fri Nov 1 17:50:02 2019 reduce to 49799934 relations and 40482217 ideals in 6 passes
  127. Fri Nov 1 17:50:02 2019 max relations containing the same ideal: 105
  128. Fri Nov 1 17:50:19 2019 removing 5590502 relations and 3590502 ideals in 2000000 cliques
  129. Fri Nov 1 17:50:21 2019 commencing in-memory singleton removal
  130. Fri Nov 1 17:50:23 2019 begin with 44209432 relations and 40482217 unique ideals
  131. Fri Nov 1 17:50:41 2019 reduce to 43848543 relations and 36518679 ideals in 6 passes
  132. Fri Nov 1 17:50:41 2019 max relations containing the same ideal: 97
  133. Fri Nov 1 17:50:56 2019 removing 5608498 relations and 3608498 ideals in 2000000 cliques
  134. Fri Nov 1 17:50:57 2019 commencing in-memory singleton removal
  135. Fri Nov 1 17:50:59 2019 begin with 38240045 relations and 36518679 unique ideals
  136. Fri Nov 1 17:51:13 2019 reduce to 37829871 relations and 32484312 ideals in 7 passes
  137. Fri Nov 1 17:51:13 2019 max relations containing the same ideal: 87
  138. Fri Nov 1 17:51:24 2019 removing 5643514 relations and 3643514 ideals in 2000000 cliques
  139. Fri Nov 1 17:51:25 2019 commencing in-memory singleton removal
  140. Fri Nov 1 17:51:27 2019 begin with 32186357 relations and 32484312 unique ideals
  141. Fri Nov 1 17:51:38 2019 reduce to 31700614 relations and 28334180 ideals in 7 passes
  142. Fri Nov 1 17:51:38 2019 max relations containing the same ideal: 77
  143. Fri Nov 1 17:51:48 2019 removing 5693688 relations and 3693688 ideals in 2000000 cliques
  144. Fri Nov 1 17:51:49 2019 commencing in-memory singleton removal
  145. Fri Nov 1 17:51:50 2019 begin with 26006926 relations and 28334180 unique ideals
  146. Fri Nov 1 17:52:00 2019 reduce to 25392958 relations and 23994679 ideals in 8 passes
  147. Fri Nov 1 17:52:00 2019 max relations containing the same ideal: 67
  148. Fri Nov 1 17:52:08 2019 removing 1914830 relations and 1394936 ideals in 519894 cliques
  149. Fri Nov 1 17:52:09 2019 commencing in-memory singleton removal
  150. Fri Nov 1 17:52:10 2019 begin with 23478128 relations and 23994679 unique ideals
  151. Fri Nov 1 17:52:16 2019 reduce to 23366567 relations and 22486149 ideals in 6 passes
  152. Fri Nov 1 17:52:16 2019 max relations containing the same ideal: 63
  153. Fri Nov 1 17:52:26 2019 relations with 0 large ideals: 0
  154. Fri Nov 1 17:52:26 2019 relations with 1 large ideals: 19485
  155. Fri Nov 1 17:52:26 2019 relations with 2 large ideals: 265152
  156. Fri Nov 1 17:52:26 2019 relations with 3 large ideals: 1404339
  157. Fri Nov 1 17:52:26 2019 relations with 4 large ideals: 3864050
  158. Fri Nov 1 17:52:26 2019 relations with 5 large ideals: 6189216
  159. Fri Nov 1 17:52:26 2019 relations with 6 large ideals: 6072431
  160. Fri Nov 1 17:52:26 2019 relations with 7+ large ideals: 5551894
  161. Fri Nov 1 17:52:26 2019 commencing 2-way merge
  162. Fri Nov 1 17:52:35 2019 reduce to 15568551 relation sets and 14688133 unique ideals
  163. Fri Nov 1 17:52:35 2019 commencing full merge
  164. Fri Nov 1 17:56:44 2019 memory use: 1845.1 MB
  165. Fri Nov 1 17:56:45 2019 found 6623544 cycles, need 6608333
  166. Fri Nov 1 17:56:47 2019 weight of 6608333 cycles is about 952086894 (144.07/cycle)
  167. Fri Nov 1 17:56:47 2019 distribution of cycle lengths:
  168. Fri Nov 1 17:56:47 2019 1 relations: 107787
  169. Fri Nov 1 17:56:47 2019 2 relations: 255291
  170. Fri Nov 1 17:56:47 2019 3 relations: 339844
  171. Fri Nov 1 17:56:47 2019 4 relations: 382426
  172. Fri Nov 1 17:56:47 2019 5 relations: 427433
  173. Fri Nov 1 17:56:47 2019 6 relations: 445155
  174. Fri Nov 1 17:56:47 2019 7 relations: 458058
  175. Fri Nov 1 17:56:47 2019 8 relations: 454252
  176. Fri Nov 1 17:56:47 2019 9 relations: 443578
  177. Fri Nov 1 17:56:47 2019 10+ relations: 3294509
  178. Fri Nov 1 17:56:47 2019 heaviest cycle: 28 relations
  179. Fri Nov 1 17:56:49 2019 commencing cycle optimization
  180. Fri Nov 1 17:57:00 2019 start with 68289814 relations
  181. Fri Nov 1 17:59:08 2019 pruned 4005348 relations
  182. Fri Nov 1 17:59:08 2019 memory use: 1665.6 MB
  183. Fri Nov 1 17:59:08 2019 distribution of cycle lengths:
  184. Fri Nov 1 17:59:08 2019 1 relations: 107787
  185. Fri Nov 1 17:59:08 2019 2 relations: 263486
  186. Fri Nov 1 17:59:08 2019 3 relations: 356376
  187. Fri Nov 1 17:59:08 2019 4 relations: 402720
  188. Fri Nov 1 17:59:08 2019 5 relations: 454530
  189. Fri Nov 1 17:59:08 2019 6 relations: 474946
  190. Fri Nov 1 17:59:08 2019 7 relations: 492030
  191. Fri Nov 1 17:59:08 2019 8 relations: 487525
  192. Fri Nov 1 17:59:08 2019 9 relations: 476453
  193. Fri Nov 1 17:59:08 2019 10+ relations: 3092480
  194. Fri Nov 1 17:59:08 2019 heaviest cycle: 28 relations
  195. Fri Nov 1 17:59:19 2019 RelProcTime: 5467
  196. Fri Nov 1 17:59:19 2019
  197. Fri Nov 1 17:59:19 2019 commencing linear algebra
  198. Fri Nov 1 17:59:20 2019 read 6608333 cycles
  199. Fri Nov 1 17:59:31 2019 cycles contain 22957066 unique relations
  200. Fri Nov 1 18:01:24 2019 read 22957066 relations
  201. Fri Nov 1 18:01:59 2019 using 20 quadratic characters above 4294917295
  202. Fri Nov 1 18:03:18 2019 building initial matrix
  203. Fri Nov 1 18:07:45 2019 memory use: 3182.0 MB
  204. Fri Nov 1 18:07:48 2019 read 6608333 cycles
  205. Fri Nov 1 18:07:49 2019 matrix is 6608154 x 6608333 (3609.2 MB) with weight 1089233180 (164.83/col)
  206. Fri Nov 1 18:07:49 2019 sparse part has weight 866820122 (131.17/col)
  207. Fri Nov 1 18:09:00 2019 filtering completed in 2 passes
  208. Fri Nov 1 18:09:01 2019 matrix is 6608127 x 6608306 (3609.2 MB) with weight 1089232052 (164.83/col)
  209. Fri Nov 1 18:09:01 2019 sparse part has weight 866819902 (131.17/col)
  210. Fri Nov 1 18:09:18 2019 matrix starts at (0, 0)
  211. Fri Nov 1 18:09:20 2019 matrix is 6608127 x 6608306 (3609.2 MB) with weight 1089232052 (164.83/col)
  212. Fri Nov 1 18:09:20 2019 sparse part has weight 866819902 (131.17/col)
  213. Fri Nov 1 18:09:20 2019 saving the first 48 matrix rows for later
  214. Fri Nov 1 18:09:21 2019 matrix includes 64 packed rows
  215. Fri Nov 1 18:09:22 2019 matrix is 6608079 x 6608306 (3507.8 MB) with weight 947634677 (143.40/col)
  216. Fri Nov 1 18:09:22 2019 sparse part has weight 853472174 (129.15/col)
  217. Fri Nov 1 18:09:22 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  218. Fri Nov 1 18:09:47 2019 commencing Lanczos iteration (4 threads)
  219. Fri Nov 1 18:09:47 2019 memory use: 3248.0 MB
  220. Fri Nov 1 18:10:15 2019 linear algebra at 0.0%, ETA 32h37m
  221. Fri Nov 1 18:10:24 2019 checkpointing every 210000 dimensions
  222. Sat Nov 2 22:10:09 2019 lanczos halted after 104504 iterations (dim = 6608078)
  223. Sat Nov 2 22:10:17 2019 recovered 30 nontrivial dependencies
  224. Sat Nov 2 22:10:17 2019 BLanczosTime: 101458
  225. Sat Nov 2 22:10:17 2019
  226. Sat Nov 2 22:10:17 2019 commencing square root phase
  227. Sat Nov 2 22:10:17 2019 handling dependencies 1 to 64
  228. Sat Nov 2 22:10:17 2019 reading relations for dependency 1
  229. Sat Nov 2 22:10:18 2019 read 3304329 cycles
  230. Sat Nov 2 22:10:23 2019 cycles contain 11477918 unique relations
  231. Sat Nov 2 22:11:32 2019 read 11477918 relations
  232. Sat Nov 2 22:12:09 2019 multiplying 11477918 relations
  233. Sat Nov 2 22:21:33 2019 multiply complete, coefficients have about 574.60 million bits
  234. Sat Nov 2 22:21:36 2019 initial square root is modulo 142981
  235. Sat Nov 2 22:32:36 2019 sqrtTime: 1339
  236. Sat Nov 2 22:32:36 2019 p73 factor: 1707236710701046752605175700430461959702924335001031993088611910131266407
  237. Sat Nov 2 22:32:36 2019 p94 factor: 1501145278794845945875316655685815895906281062338762676365057625707387631548824462673560414587
  238. Sat Nov 2 22:32:36 2019 elapsed time 30:04:25
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