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11p9_244

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Feb 4th, 2021
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  1. Tue Feb 2 14:54:49 2021
  2. Tue Feb 2 14:54:49 2021
  3. Tue Feb 2 14:54:49 2021 Msieve v. 1.53 (SVN 988M)
  4. Tue Feb 2 14:54:49 2021 random seeds: c061e624 ed6de517
  5. Tue Feb 2 14:54:49 2021 factoring 5935240867309377885018879599988466012045492962037673476372804169582124977456720035056552152220755920364885013440194274828969669405077799580187133481855035213220497252553531031065121324741647328728481553214114049305350102567314130571854330928381564001 (250 digits)
  6. Tue Feb 2 14:54:50 2021 searching for 15-digit factors
  7. Tue Feb 2 14:54:52 2021 commencing number field sieve (250-digit input)
  8. Tue Feb 2 14:54:52 2021 R0: 4978518112499354698647829163838661251242411
  9. Tue Feb 2 14:54:52 2021 R1: -1330279464729113309844748891857449678409
  10. Tue Feb 2 14:54:52 2021 A0: 121
  11. Tue Feb 2 14:54:52 2021 A1: 0
  12. Tue Feb 2 14:54:52 2021 A2: 0
  13. Tue Feb 2 14:54:52 2021 A3: 0
  14. Tue Feb 2 14:54:52 2021 A4: 0
  15. Tue Feb 2 14:54:52 2021 A5: 0
  16. Tue Feb 2 14:54:52 2021 A6: 81
  17. Tue Feb 2 14:54:52 2021 skew 1.07, size 7.120e-13, alpha -0.152, combined = 9.248e-14 rroots = 0
  18. Tue Feb 2 14:54:52 2021
  19. Tue Feb 2 14:54:52 2021 commencing relation filtering
  20. Tue Feb 2 14:54:52 2021 setting target matrix density to 124.0
  21. Tue Feb 2 14:54:52 2021 estimated available RAM is 32768.0 MB
  22. Tue Feb 2 14:54:52 2021 commencing duplicate removal, pass 1
  23. Tue Feb 2 14:58:08 2021 error -15 reading relation 27678870
  24. Tue Feb 2 15:11:25 2021 error -5 reading relation 141243267
  25. Tue Feb 2 15:11:36 2021 error -1 reading relation 142892441
  26. Tue Feb 2 15:13:24 2021 error -11 reading relation 158292137
  27. Tue Feb 2 15:13:45 2021 error -15 reading relation 161216729
  28. Tue Feb 2 15:13:45 2021 error -15 reading relation 161319285
  29. Tue Feb 2 15:14:22 2021 error -15 reading relation 166520580
  30. Tue Feb 2 15:14:22 2021 error -5 reading relation 166520712
  31. Tue Feb 2 15:18:25 2021 skipped 551 relations with b > 2^32
  32. Tue Feb 2 15:18:25 2021 skipped 2 relations with composite factors
  33. Tue Feb 2 15:18:25 2021 found 8832052 hash collisions in 200876843 relations
  34. Tue Feb 2 15:18:37 2021 added 1219064 free relations
  35. Tue Feb 2 15:18:37 2021 commencing duplicate removal, pass 2
  36. Tue Feb 2 15:27:03 2021 found 0 duplicates and 202095907 unique relations
  37. Tue Feb 2 15:27:03 2021 memory use: 522.4 MB
  38. Tue Feb 2 15:27:03 2021 reading ideals above 169934848
  39. Tue Feb 2 15:27:03 2021 commencing singleton removal, initial pass
  40. Tue Feb 2 15:44:48 2021 memory use: 3012.0 MB
  41. Tue Feb 2 15:44:49 2021 reading all ideals from disk
  42. Tue Feb 2 15:46:10 2021 memory use: 3507.4 MB
  43. Tue Feb 2 15:46:17 2021 commencing in-memory singleton removal
  44. Tue Feb 2 15:46:24 2021 begin with 202095907 relations and 162443492 unique ideals
  45. Tue Feb 2 15:47:59 2021 reduce to 140266473 relations and 95051727 ideals in 14 passes
  46. Tue Feb 2 15:47:59 2021 max relations containing the same ideal: 44
  47. Tue Feb 2 15:48:16 2021 reading ideals above 720000
  48. Tue Feb 2 15:48:16 2021 commencing singleton removal, initial pass
  49. Tue Feb 2 16:05:36 2021 memory use: 3012.0 MB
  50. Tue Feb 2 16:05:36 2021 reading all ideals from disk
  51. Tue Feb 2 16:07:49 2021 memory use: 5740.0 MB
  52. Tue Feb 2 16:08:08 2021 keeping 113309794 ideals with weight <= 200, target excess is 740103
  53. Tue Feb 2 16:08:24 2021 commencing in-memory singleton removal
  54. Tue Feb 2 16:08:35 2021 begin with 140266473 relations and 113309794 unique ideals
  55. Tue Feb 2 16:10:11 2021 reduce to 140261300 relations and 113304620 ideals in 8 passes
  56. Tue Feb 2 16:10:11 2021 max relations containing the same ideal: 200
  57. Tue Feb 2 16:11:11 2021 removing 10583222 relations and 8583222 ideals in 2000000 cliques
  58. Tue Feb 2 16:11:15 2021 commencing in-memory singleton removal
  59. Tue Feb 2 16:11:25 2021 begin with 129678078 relations and 113304620 unique ideals
  60. Tue Feb 2 16:13:03 2021 reduce to 129045259 relations and 104076979 ideals in 9 passes
  61. Tue Feb 2 16:13:03 2021 max relations containing the same ideal: 198
  62. Tue Feb 2 16:13:56 2021 removing 8135322 relations and 6135322 ideals in 2000000 cliques
  63. Tue Feb 2 16:14:00 2021 commencing in-memory singleton removal
  64. Tue Feb 2 16:14:09 2021 begin with 120909937 relations and 104076979 unique ideals
  65. Tue Feb 2 16:15:30 2021 reduce to 120486658 relations and 97511575 ideals in 8 passes
  66. Tue Feb 2 16:15:30 2021 max relations containing the same ideal: 192
  67. Tue Feb 2 16:16:23 2021 removing 7410352 relations and 5410352 ideals in 2000000 cliques
  68. Tue Feb 2 16:16:26 2021 commencing in-memory singleton removal
  69. Tue Feb 2 16:16:35 2021 begin with 113076306 relations and 97511575 unique ideals
  70. Tue Feb 2 16:17:51 2021 reduce to 112701820 relations and 91720782 ideals in 8 passes
  71. Tue Feb 2 16:17:51 2021 max relations containing the same ideal: 184
  72. Tue Feb 2 16:18:41 2021 removing 7047888 relations and 5047888 ideals in 2000000 cliques
  73. Tue Feb 2 16:18:44 2021 commencing in-memory singleton removal
  74. Tue Feb 2 16:18:52 2021 begin with 105653932 relations and 91720782 unique ideals
  75. Tue Feb 2 16:20:01 2021 reduce to 105300009 relations and 86312955 ideals in 8 passes
  76. Tue Feb 2 16:20:01 2021 max relations containing the same ideal: 177
  77. Tue Feb 2 16:20:45 2021 removing 6826615 relations and 4826615 ideals in 2000000 cliques
  78. Tue Feb 2 16:20:48 2021 commencing in-memory singleton removal
  79. Tue Feb 2 16:20:55 2021 begin with 98473394 relations and 86312955 unique ideals
  80. Tue Feb 2 16:21:52 2021 reduce to 98125846 relations and 81132795 ideals in 7 passes
  81. Tue Feb 2 16:21:52 2021 max relations containing the same ideal: 170
  82. Tue Feb 2 16:22:35 2021 removing 6689375 relations and 4689375 ideals in 2000000 cliques
  83. Tue Feb 2 16:22:38 2021 commencing in-memory singleton removal
  84. Tue Feb 2 16:22:44 2021 begin with 91436471 relations and 81132795 unique ideals
  85. Tue Feb 2 16:23:30 2021 reduce to 91084993 relations and 76085550 ideals in 6 passes
  86. Tue Feb 2 16:23:30 2021 max relations containing the same ideal: 162
  87. Tue Feb 2 16:24:15 2021 removing 6595299 relations and 4595299 ideals in 2000000 cliques
  88. Tue Feb 2 16:24:19 2021 commencing in-memory singleton removal
  89. Tue Feb 2 16:24:25 2021 begin with 84489694 relations and 76085550 unique ideals
  90. Tue Feb 2 16:25:15 2021 reduce to 84130565 relations and 71124136 ideals in 7 passes
  91. Tue Feb 2 16:25:15 2021 max relations containing the same ideal: 155
  92. Tue Feb 2 16:25:53 2021 removing 6542759 relations and 4542759 ideals in 2000000 cliques
  93. Tue Feb 2 16:25:55 2021 commencing in-memory singleton removal
  94. Tue Feb 2 16:26:00 2021 begin with 77587806 relations and 71124136 unique ideals
  95. Tue Feb 2 16:26:44 2021 reduce to 77210297 relations and 66195981 ideals in 7 passes
  96. Tue Feb 2 16:26:44 2021 max relations containing the same ideal: 149
  97. Tue Feb 2 16:27:17 2021 removing 6514309 relations and 4514309 ideals in 2000000 cliques
  98. Tue Feb 2 16:27:19 2021 commencing in-memory singleton removal
  99. Tue Feb 2 16:27:24 2021 begin with 70695988 relations and 66195981 unique ideals
  100. Tue Feb 2 16:28:03 2021 reduce to 70293945 relations and 61270911 ideals in 7 passes
  101. Tue Feb 2 16:28:03 2021 max relations containing the same ideal: 140
  102. Tue Feb 2 16:28:35 2021 removing 6506898 relations and 4506898 ideals in 2000000 cliques
  103. Tue Feb 2 16:28:37 2021 commencing in-memory singleton removal
  104. Tue Feb 2 16:28:42 2021 begin with 63787047 relations and 61270911 unique ideals
  105. Tue Feb 2 16:29:17 2021 reduce to 63354785 relations and 56321277 ideals in 7 passes
  106. Tue Feb 2 16:29:17 2021 max relations containing the same ideal: 130
  107. Tue Feb 2 16:29:47 2021 removing 6519674 relations and 4519674 ideals in 2000000 cliques
  108. Tue Feb 2 16:29:49 2021 commencing in-memory singleton removal
  109. Tue Feb 2 16:29:53 2021 begin with 56835111 relations and 56321277 unique ideals
  110. Tue Feb 2 16:30:25 2021 reduce to 56357340 relations and 51311250 ideals in 7 passes
  111. Tue Feb 2 16:30:25 2021 max relations containing the same ideal: 118
  112. Tue Feb 2 16:30:52 2021 removing 6556141 relations and 4556141 ideals in 2000000 cliques
  113. Tue Feb 2 16:30:55 2021 commencing in-memory singleton removal
  114. Tue Feb 2 16:30:58 2021 begin with 49801199 relations and 51311250 unique ideals
  115. Tue Feb 2 16:31:31 2021 reduce to 49262802 relations and 46200454 ideals in 8 passes
  116. Tue Feb 2 16:31:31 2021 max relations containing the same ideal: 107
  117. Tue Feb 2 16:31:55 2021 removing 6607105 relations and 4607105 ideals in 2000000 cliques
  118. Tue Feb 2 16:31:57 2021 commencing in-memory singleton removal
  119. Tue Feb 2 16:32:00 2021 begin with 42655697 relations and 46200454 unique ideals
  120. Tue Feb 2 16:32:30 2021 reduce to 42025698 relations and 40941695 ideals in 9 passes
  121. Tue Feb 2 16:32:30 2021 max relations containing the same ideal: 98
  122. Tue Feb 2 16:32:49 2021 removing 1129187 relations and 903704 ideals in 225483 cliques
  123. Tue Feb 2 16:32:50 2021 commencing in-memory singleton removal
  124. Tue Feb 2 16:32:52 2021 begin with 40896511 relations and 40941695 unique ideals
  125. Tue Feb 2 16:33:08 2021 reduce to 40876125 relations and 40017499 ideals in 5 passes
  126. Tue Feb 2 16:33:08 2021 max relations containing the same ideal: 94
  127. Tue Feb 2 16:33:30 2021 relations with 0 large ideals: 27797
  128. Tue Feb 2 16:33:30 2021 relations with 1 large ideals: 8517
  129. Tue Feb 2 16:33:30 2021 relations with 2 large ideals: 99978
  130. Tue Feb 2 16:33:30 2021 relations with 3 large ideals: 721293
  131. Tue Feb 2 16:33:30 2021 relations with 4 large ideals: 2860937
  132. Tue Feb 2 16:33:30 2021 relations with 5 large ideals: 6830988
  133. Tue Feb 2 16:33:30 2021 relations with 6 large ideals: 10306719
  134. Tue Feb 2 16:33:30 2021 relations with 7+ large ideals: 20019896
  135. Tue Feb 2 16:33:30 2021 commencing 2-way merge
  136. Tue Feb 2 16:33:55 2021 reduce to 27205153 relation sets and 26346527 unique ideals
  137. Tue Feb 2 16:33:55 2021 commencing full merge
  138. Tue Feb 2 16:46:28 2021 memory use: 3632.6 MB
  139. Tue Feb 2 16:46:35 2021 found 12338406 cycles, need 12298727
  140. Tue Feb 2 16:46:36 2021 weight of 12298727 cycles is about 1525342145 (124.02/cycle)
  141. Tue Feb 2 16:46:36 2021 distribution of cycle lengths:
  142. Tue Feb 2 16:46:36 2021 1 relations: 505122
  143. Tue Feb 2 16:46:36 2021 2 relations: 732600
  144. Tue Feb 2 16:46:36 2021 3 relations: 867039
  145. Tue Feb 2 16:46:36 2021 4 relations: 896453
  146. Tue Feb 2 16:46:36 2021 5 relations: 915669
  147. Tue Feb 2 16:46:36 2021 6 relations: 908646
  148. Tue Feb 2 16:46:36 2021 7 relations: 891820
  149. Tue Feb 2 16:46:36 2021 8 relations: 850638
  150. Tue Feb 2 16:46:36 2021 9 relations: 800168
  151. Tue Feb 2 16:46:36 2021 10+ relations: 4930572
  152. Tue Feb 2 16:46:36 2021 heaviest cycle: 28 relations
  153. Tue Feb 2 16:46:42 2021 commencing cycle optimization
  154. Tue Feb 2 16:47:13 2021 start with 109355895 relations
  155. Tue Feb 2 16:52:58 2021 pruned 5311479 relations
  156. Tue Feb 2 16:52:58 2021 memory use: 2828.5 MB
  157. Tue Feb 2 16:52:58 2021 distribution of cycle lengths:
  158. Tue Feb 2 16:52:58 2021 1 relations: 505122
  159. Tue Feb 2 16:52:58 2021 2 relations: 751182
  160. Tue Feb 2 16:52:58 2021 3 relations: 904973
  161. Tue Feb 2 16:52:58 2021 4 relations: 935658
  162. Tue Feb 2 16:52:58 2021 5 relations: 964018
  163. Tue Feb 2 16:52:58 2021 6 relations: 955629
  164. Tue Feb 2 16:52:58 2021 7 relations: 941486
  165. Tue Feb 2 16:52:58 2021 8 relations: 894613
  166. Tue Feb 2 16:52:58 2021 9 relations: 839699
  167. Tue Feb 2 16:52:58 2021 10+ relations: 4606347
  168. Tue Feb 2 16:52:58 2021 heaviest cycle: 28 relations
  169. Tue Feb 2 16:53:41 2021 RelProcTime: 7129
  170. Tue Feb 2 16:53:41 2021
  171. Tue Feb 2 16:53:41 2021 commencing linear algebra
  172. Tue Feb 2 16:53:44 2021 read 12298727 cycles
  173. Tue Feb 2 16:54:12 2021 cycles contain 40462608 unique relations
  174. Tue Feb 2 17:02:45 2021 read 40462608 relations
  175. Tue Feb 2 17:04:25 2021 using 20 quadratic characters above 4294917295
  176. Tue Feb 2 17:06:59 2021 building initial matrix
  177. Tue Feb 2 17:15:56 2021 memory use: 5289.6 MB
  178. Tue Feb 2 17:18:23 2021 read 12298727 cycles
  179. Tue Feb 2 17:18:27 2021 matrix is 12298550 x 12298727 (5959.2 MB) with weight 1695542580 (137.86/col)
  180. Tue Feb 2 17:18:27 2021 sparse part has weight 1426880208 (116.02/col)
  181. Tue Feb 2 17:20:52 2021 filtering completed in 2 passes
  182. Tue Feb 2 17:20:54 2021 matrix is 12298404 x 12298581 (5959.2 MB) with weight 1695537788 (137.86/col)
  183. Tue Feb 2 17:20:54 2021 sparse part has weight 1426878656 (116.02/col)
  184. Tue Feb 2 17:25:53 2021 matrix starts at (0, 0)
  185. Tue Feb 2 17:25:54 2021 matrix is 12298404 x 12298581 (5959.2 MB) with weight 1695537788 (137.86/col)
  186. Tue Feb 2 17:25:54 2021 sparse part has weight 1426878656 (116.02/col)
  187. Tue Feb 2 17:25:54 2021 saving the first 48 matrix rows for later
  188. Tue Feb 2 17:25:56 2021 matrix includes 64 packed rows
  189. Tue Feb 2 17:25:58 2021 matrix is 12298356 x 12298581 (5698.2 MB) with weight 1469154496 (119.46/col)
  190. Tue Feb 2 17:25:58 2021 sparse part has weight 1370762646 (111.46/col)
  191. Tue Feb 2 17:25:58 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  192. Tue Feb 2 17:27:17 2021 commencing Lanczos iteration (16 threads)
  193. Tue Feb 2 17:27:17 2021 memory use: 4860.3 MB
  194. Tue Feb 2 17:27:37 2021 linear algebra at 0.0%, ETA 42h48m
  195. Tue Feb 2 17:27:43 2021 checkpointing every 300000 dimensions
  196. Tue Feb 2 17:32:26 2021 lanczos halted after 378 iterations (dim = 23897)
  197. Tue Feb 2 17:32:29 2021 BLanczosTime: 2328
  198. Tue Feb 2 17:32:29 2021
  199. Tue Feb 2 17:32:29 2021 commencing square root phase
  200. Tue Feb 2 17:32:29 2021 handling dependencies 1 to 64
  201. Tue Feb 2 17:32:29 2021 reading relations for dependency 1
  202. Tue Feb 2 17:32:29 2021 error: read_cycles can't open dependency file
  203. Tue Feb 2 17:40:19 2021
  204. Tue Feb 2 17:40:19 2021
  205. Tue Feb 2 17:40:19 2021 Msieve v. 1.53 (SVN 988M)
  206. Tue Feb 2 17:40:19 2021 random seeds: 263dc4a4 3fd7d2e4
  207. Tue Feb 2 17:40:19 2021 factoring 5935240867309377885018879599988466012045492962037673476372804169582124977456720035056552152220755920364885013440194274828969669405077799580187133481855035213220497252553531031065121324741647328728481553214114049305350102567314130571854330928381564001 (250 digits)
  208. Tue Feb 2 17:40:20 2021 searching for 15-digit factors
  209. Tue Feb 2 17:40:22 2021 commencing number field sieve (250-digit input)
  210. Tue Feb 2 17:40:22 2021 R0: 4978518112499354698647829163838661251242411
  211. Tue Feb 2 17:40:22 2021 R1: -1330279464729113309844748891857449678409
  212. Tue Feb 2 17:40:22 2021 A0: 121
  213. Tue Feb 2 17:40:22 2021 A1: 0
  214. Tue Feb 2 17:40:22 2021 A2: 0
  215. Tue Feb 2 17:40:22 2021 A3: 0
  216. Tue Feb 2 17:40:22 2021 A4: 0
  217. Tue Feb 2 17:40:22 2021 A5: 0
  218. Tue Feb 2 17:40:22 2021 A6: 81
  219. Tue Feb 2 17:40:22 2021 skew 1.07, size 7.120e-13, alpha -0.152, combined = 9.248e-14 rroots = 0
  220. Tue Feb 2 17:40:22 2021
  221. Tue Feb 2 17:40:22 2021 commencing linear algebra
  222. Tue Feb 2 17:42:35 2021 matrix starts at (0, 0)
  223. Tue Feb 2 17:42:36 2021 matrix is 12298404 x 12298581 (5959.2 MB) with weight 1695537788 (137.86/col)
  224. Tue Feb 2 17:42:36 2021 sparse part has weight 1426878656 (116.02/col)
  225. Tue Feb 2 17:42:36 2021 saving the first 48 matrix rows for later
  226. Tue Feb 2 17:42:38 2021 matrix includes 64 packed rows
  227. Tue Feb 2 17:42:39 2021 matrix is 12298356 x 12298581 (5698.2 MB) with weight 1469154496 (119.46/col)
  228. Tue Feb 2 17:42:39 2021 sparse part has weight 1370762646 (111.46/col)
  229. Tue Feb 2 17:42:39 2021 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  230. Tue Feb 2 17:43:48 2021 commencing Lanczos iteration (16 threads)
  231. Tue Feb 2 17:43:48 2021 memory use: 4860.3 MB
  232. Tue Feb 2 17:43:48 2021 restarting at iteration 378 (dim = 23897)
  233. Tue Feb 2 17:44:02 2021 linear algebra at 0.2%, ETA 31h35m
  234. Tue Feb 2 17:44:08 2021 checkpointing every 390000 dimensions
  235. Thu Feb 4 01:30:37 2021 lanczos halted after 194485 iterations (dim = 12298355)
  236. Thu Feb 4 01:30:48 2021 recovered 38 nontrivial dependencies
  237. Thu Feb 4 01:30:53 2021 BLanczosTime: 114631
  238. Thu Feb 4 01:30:53 2021
  239. Thu Feb 4 01:30:53 2021 commencing square root phase
  240. Thu Feb 4 01:30:53 2021 reading relations for dependency 1
  241. Thu Feb 4 01:31:03 2021 read 6148225 cycles
  242. Thu Feb 4 01:31:16 2021 cycles contain 20223778 unique relations
  243. Thu Feb 4 01:39:54 2021 read 20223778 relations
  244. Thu Feb 4 01:41:23 2021 multiplying 20223778 relations
  245. Thu Feb 4 01:55:17 2021 multiply complete, coefficients have about 655.33 million bits
  246. Thu Feb 4 01:55:19 2021 initial square root is modulo 757327
  247. Thu Feb 4 02:09:30 2021 sqrtTime: 2317
  248. Thu Feb 4 02:09:30 2021 p101 factor: 27629397626771432899477186319651600758864547022558510301569208366886795222177078053629518005040139761
  249. Thu Feb 4 02:09:30 2021 p150 factor: 214816151531238657862609369373796559458687478389321651032185326293176861012317603082611226625237859378089709240196750825351729161232984296165330025841
  250. Thu Feb 4 02:09:30 2021 elapsed time 32:29:11
  251.  
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