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Msieve log of 11p5_248

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Jul 10th, 2021
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  1. Fri Jun 25 17:59:18 2021
  2. Fri Jun 25 17:59:18 2021
  3. Fri Jun 25 17:59:18 2021 Msieve v. 1.52 (SVN unknown)
  4. Fri Jun 25 17:59:18 2021 random seeds: 467c8348 6e9e0b3d
  5. Fri Jun 25 17:59:18 2021 factoring 3926115193981831080798937052727455034090120074645686929442824490241571319624082895089371828506213008148018727523814721857168176225979055171094640444930508709017040898556297313443069460607226102517663186287955991385361 (217 digits)
  6. Fri Jun 25 17:59:19 2021 no P-1/P+1/ECM available, skipping
  7. Fri Jun 25 17:59:19 2021 commencing number field sieve (217-digit input)
  8. Fri Jun 25 17:59:19 2021 R0: 4978518112499354698647829163838661251242411
  9. Fri Jun 25 17:59:19 2021 R1: -45474735088646411895751953125
  10. Fri Jun 25 17:59:19 2021 A0: 25
  11. Fri Jun 25 17:59:19 2021 A1: 0
  12. Fri Jun 25 17:59:19 2021 A2: 0
  13. Fri Jun 25 17:59:19 2021 A3: 0
  14. Fri Jun 25 17:59:19 2021 A4: 0
  15. Fri Jun 25 17:59:19 2021 A5: 0
  16. Fri Jun 25 17:59:19 2021 A6: 121
  17. Fri Jun 25 17:59:19 2021 skew 0.77, size 5.169e-013, alpha 1.391, combined = 7.370e-014 rroots = 0
  18. Fri Jun 25 17:59:19 2021
  19. Fri Jun 25 17:59:19 2021 commencing relation filtering
  20. Fri Jun 25 17:59:19 2021 setting target matrix density to 118.0
  21. Fri Jun 25 17:59:19 2021 estimated available RAM is 16289.0 MB
  22. Fri Jun 25 17:59:19 2021 commencing duplicate removal, pass 1
  23. Fri Jun 25 17:59:36 2021 error -15 reading relation 1725667
  24. Fri Jun 25 17:59:41 2021 error -9 reading relation 2226218
  25. Fri Jun 25 17:59:45 2021 error -9 reading relation 2624237
  26. Fri Jun 25 17:59:55 2021 error -9 reading relation 3596130
  27. Fri Jun 25 18:38:26 2021 error -9 reading relation 255317654
  28. Fri Jun 25 18:38:42 2021 error -9 reading relation 257130259
  29. Fri Jun 25 18:39:04 2021 error -9 reading relation 259594865
  30. Fri Jun 25 18:39:04 2021 error -9 reading relation 259638374
  31. Fri Jun 25 18:39:06 2021 error -15 reading relation 259880306
  32. Fri Jun 25 18:39:11 2021 error -15 reading relation 260337117
  33. Fri Jun 25 18:39:11 2021 error -9 reading relation 260437837
  34. Fri Jun 25 18:39:12 2021 error -9 reading relation 260455275
  35. Fri Jun 25 18:39:13 2021 error -9 reading relation 260615831
  36. Fri Jun 25 18:39:15 2021 error -15 reading relation 260784813
  37. Fri Jun 25 18:39:16 2021 skipped 1338 relations with b > 2^32
  38. Fri Jun 25 18:39:16 2021 found 60951553 hash collisions in 260972430 relations
  39. Fri Jun 25 18:39:41 2021 added 1218636 free relations
  40. Fri Jun 25 18:39:41 2021 commencing duplicate removal, pass 2
  41. Fri Jun 25 18:46:55 2021 found 66657021 duplicates and 195534045 unique relations
  42. Fri Jun 25 18:46:55 2021 memory use: 1449.5 MB
  43. Fri Jun 25 18:46:56 2021 reading ideals above 219873280
  44. Fri Jun 25 18:46:56 2021 commencing singleton removal, initial pass
  45. Fri Jun 25 19:21:55 2021 memory use: 3012.0 MB
  46. Fri Jun 25 19:21:56 2021 reading all ideals from disk
  47. Fri Jun 25 19:22:36 2021 memory use: 3247.5 MB
  48. Fri Jun 25 19:22:42 2021 commencing in-memory singleton removal
  49. Fri Jun 25 19:22:48 2021 begin with 195534045 relations and 156867160 unique ideals
  50. Fri Jun 25 19:23:58 2021 reduce to 132045923 relations and 87405953 ideals in 14 passes
  51. Fri Jun 25 19:23:58 2021 max relations containing the same ideal: 31
  52. Fri Jun 25 19:24:07 2021 reading ideals above 720000
  53. Fri Jun 25 19:24:08 2021 commencing singleton removal, initial pass
  54. Fri Jun 25 19:54:45 2021 memory use: 3012.0 MB
  55. Fri Jun 25 19:54:45 2021 reading all ideals from disk
  56. Fri Jun 25 19:54:48 2021 memory use: 5472.6 MB
  57. Fri Jun 25 19:55:01 2021 keeping 110924459 ideals with weight <= 200, target excess is 709009
  58. Fri Jun 25 19:55:17 2021 commencing in-memory singleton removal
  59. Fri Jun 25 19:55:28 2021 begin with 132045924 relations and 110924459 unique ideals
  60. Fri Jun 25 19:57:26 2021 reduce to 132006567 relations and 110885086 ideals in 10 passes
  61. Fri Jun 25 19:57:26 2021 max relations containing the same ideal: 200
  62. Fri Jun 25 19:58:24 2021 removing 11162733 relations and 9162733 ideals in 2000000 cliques
  63. Fri Jun 25 19:58:28 2021 commencing in-memory singleton removal
  64. Fri Jun 25 19:58:37 2021 begin with 120843834 relations and 110885086 unique ideals
  65. Fri Jun 25 20:00:17 2021 reduce to 120087054 relations and 100950794 ideals in 9 passes
  66. Fri Jun 25 20:00:17 2021 max relations containing the same ideal: 196
  67. Fri Jun 25 20:01:11 2021 removing 8580167 relations and 6580167 ideals in 2000000 cliques
  68. Fri Jun 25 20:01:14 2021 commencing in-memory singleton removal
  69. Fri Jun 25 20:01:23 2021 begin with 111506887 relations and 100950794 unique ideals
  70. Fri Jun 25 20:02:33 2021 reduce to 111000212 relations and 93855198 ideals in 7 passes
  71. Fri Jun 25 20:02:33 2021 max relations containing the same ideal: 188
  72. Fri Jun 25 20:03:24 2021 removing 7811773 relations and 5811773 ideals in 2000000 cliques
  73. Fri Jun 25 20:03:26 2021 commencing in-memory singleton removal
  74. Fri Jun 25 20:03:34 2021 begin with 103188439 relations and 93855198 unique ideals
  75. Fri Jun 25 20:04:38 2021 reduce to 102740334 relations and 87587577 ideals in 7 passes
  76. Fri Jun 25 20:04:38 2021 max relations containing the same ideal: 183
  77. Fri Jun 25 20:05:25 2021 removing 7423129 relations and 5423129 ideals in 2000000 cliques
  78. Fri Jun 25 20:05:27 2021 commencing in-memory singleton removal
  79. Fri Jun 25 20:05:35 2021 begin with 95317205 relations and 87587577 unique ideals
  80. Fri Jun 25 20:06:49 2021 reduce to 94889661 relations and 81729287 ideals in 9 passes
  81. Fri Jun 25 20:06:49 2021 max relations containing the same ideal: 174
  82. Fri Jun 25 20:07:33 2021 removing 7187393 relations and 5187393 ideals in 2000000 cliques
  83. Fri Jun 25 20:07:35 2021 commencing in-memory singleton removal
  84. Fri Jun 25 20:07:42 2021 begin with 87702268 relations and 81729287 unique ideals
  85. Fri Jun 25 20:08:35 2021 reduce to 87278329 relations and 76110064 ideals in 7 passes
  86. Fri Jun 25 20:08:35 2021 max relations containing the same ideal: 165
  87. Fri Jun 25 20:09:16 2021 removing 7040519 relations and 5040519 ideals in 2000000 cliques
  88. Fri Jun 25 20:09:18 2021 commencing in-memory singleton removal
  89. Fri Jun 25 20:09:25 2021 begin with 80237810 relations and 76110064 unique ideals
  90. Fri Jun 25 20:10:20 2021 reduce to 79807404 relations and 70630465 ideals in 8 passes
  91. Fri Jun 25 20:10:20 2021 max relations containing the same ideal: 154
  92. Fri Jun 25 20:10:58 2021 removing 6940843 relations and 4940843 ideals in 2000000 cliques
  93. Fri Jun 25 20:11:00 2021 commencing in-memory singleton removal
  94. Fri Jun 25 20:11:05 2021 begin with 72866561 relations and 70630465 unique ideals
  95. Fri Jun 25 20:11:55 2021 reduce to 72418675 relations and 65232011 ideals in 8 passes
  96. Fri Jun 25 20:11:55 2021 max relations containing the same ideal: 142
  97. Fri Jun 25 20:12:29 2021 removing 6879573 relations and 4879573 ideals in 2000000 cliques
  98. Fri Jun 25 20:12:31 2021 commencing in-memory singleton removal
  99. Fri Jun 25 20:12:36 2021 begin with 65539102 relations and 65232011 unique ideals
  100. Fri Jun 25 20:13:15 2021 reduce to 65062310 relations and 59864312 ideals in 7 passes
  101. Fri Jun 25 20:13:15 2021 max relations containing the same ideal: 134
  102. Fri Jun 25 20:13:46 2021 removing 6851079 relations and 4851079 ideals in 2000000 cliques
  103. Fri Jun 25 20:13:48 2021 commencing in-memory singleton removal
  104. Fri Jun 25 20:13:53 2021 begin with 58211231 relations and 59864312 unique ideals
  105. Fri Jun 25 20:14:27 2021 reduce to 57692430 relations and 54480737 ideals in 7 passes
  106. Fri Jun 25 20:14:27 2021 max relations containing the same ideal: 123
  107. Fri Jun 25 20:14:55 2021 removing 6848344 relations and 4848344 ideals in 2000000 cliques
  108. Fri Jun 25 20:14:56 2021 commencing in-memory singleton removal
  109. Fri Jun 25 20:15:00 2021 begin with 50844086 relations and 54480737 unique ideals
  110. Fri Jun 25 20:15:38 2021 reduce to 50256109 relations and 49027520 ideals in 9 passes
  111. Fri Jun 25 20:15:38 2021 max relations containing the same ideal: 113
  112. Fri Jun 25 20:16:03 2021 removing 1895764 relations and 1489626 ideals in 406138 cliques
  113. Fri Jun 25 20:16:04 2021 commencing in-memory singleton removal
  114. Fri Jun 25 20:16:07 2021 begin with 48360345 relations and 49027520 unique ideals
  115. Fri Jun 25 20:16:31 2021 reduce to 48312646 relations and 47489879 ideals in 6 passes
  116. Fri Jun 25 20:16:31 2021 max relations containing the same ideal: 111
  117. Fri Jun 25 20:17:01 2021 relations with 0 large ideals: 26458
  118. Fri Jun 25 20:17:01 2021 relations with 1 large ideals: 7049
  119. Fri Jun 25 20:17:01 2021 relations with 2 large ideals: 75828
  120. Fri Jun 25 20:17:01 2021 relations with 3 large ideals: 592718
  121. Fri Jun 25 20:17:01 2021 relations with 4 large ideals: 2576352
  122. Fri Jun 25 20:17:01 2021 relations with 5 large ideals: 6795343
  123. Fri Jun 25 20:17:01 2021 relations with 6 large ideals: 11408512
  124. Fri Jun 25 20:17:01 2021 relations with 7+ large ideals: 26830386
  125. Fri Jun 25 20:17:01 2021 commencing 2-way merge
  126. Fri Jun 25 20:17:34 2021 reduce to 32483362 relation sets and 31660595 unique ideals
  127. Fri Jun 25 20:17:34 2021 commencing full merge
  128. Fri Jun 25 20:33:15 2021 memory use: 4275.3 MB
  129. Fri Jun 25 20:33:22 2021 found 14943545 cycles, need 14882795
  130. Fri Jun 25 20:33:23 2021 weight of 14882795 cycles is about 1756239899 (118.00/cycle)
  131. Fri Jun 25 20:33:23 2021 distribution of cycle lengths:
  132. Fri Jun 25 20:33:23 2021 1 relations: 685746
  133. Fri Jun 25 20:33:23 2021 2 relations: 967104
  134. Fri Jun 25 20:33:23 2021 3 relations: 1136593
  135. Fri Jun 25 20:33:23 2021 4 relations: 1169946
  136. Fri Jun 25 20:33:23 2021 5 relations: 1186821
  137. Fri Jun 25 20:33:23 2021 6 relations: 1154994
  138. Fri Jun 25 20:33:23 2021 7 relations: 1117932
  139. Fri Jun 25 20:33:23 2021 8 relations: 1050617
  140. Fri Jun 25 20:33:23 2021 9 relations: 977684
  141. Fri Jun 25 20:33:23 2021 10+ relations: 5435358
  142. Fri Jun 25 20:33:23 2021 heaviest cycle: 28 relations
  143. Fri Jun 25 20:33:46 2021 commencing cycle optimization
  144. Fri Jun 25 20:34:13 2021 start with 124638595 relations
  145. Fri Jun 25 20:40:19 2021 pruned 5725813 relations
  146. Fri Jun 25 20:40:19 2021 memory use: 3301.6 MB
  147. Fri Jun 25 20:40:19 2021 distribution of cycle lengths:
  148. Fri Jun 25 20:40:19 2021 1 relations: 685746
  149. Fri Jun 25 20:40:19 2021 2 relations: 992354
  150. Fri Jun 25 20:40:19 2021 3 relations: 1188018
  151. Fri Jun 25 20:40:19 2021 4 relations: 1221058
  152. Fri Jun 25 20:40:19 2021 5 relations: 1248256
  153. Fri Jun 25 20:40:19 2021 6 relations: 1210912
  154. Fri Jun 25 20:40:19 2021 7 relations: 1174734
  155. Fri Jun 25 20:40:19 2021 8 relations: 1097741
  156. Fri Jun 25 20:40:19 2021 9 relations: 1017443
  157. Fri Jun 25 20:40:19 2021 10+ relations: 5046533
  158. Fri Jun 25 20:40:19 2021 heaviest cycle: 28 relations
  159. Fri Jun 25 20:40:55 2021 RelProcTime: 9696
  160. Fri Jun 25 20:40:55 2021
  161. Fri Jun 25 20:40:55 2021 commencing linear algebra
  162. Fri Jun 25 20:41:00 2021 read 14882795 cycles
  163. Fri Jun 25 20:41:29 2021 cycles contain 47910387 unique relations
  164. Fri Jun 25 20:51:20 2021 read 47910387 relations
  165. Fri Jun 25 20:52:51 2021 using 20 quadratic characters above 2147483270
  166. Fri Jun 25 20:56:04 2021 building initial matrix
  167. Fri Jun 25 21:05:44 2021 memory use: 6139.4 MB
  168. Fri Jun 25 21:06:23 2021 read 14882795 cycles
  169. Fri Jun 25 21:06:27 2021 matrix is 14882618 x 14882795 (6886.4 MB) with weight 1946060618 (130.76/col)
  170. Fri Jun 25 21:06:27 2021 sparse part has weight 1641520041 (110.30/col)
  171. Fri Jun 25 21:09:40 2021 filtering completed in 2 passes
  172. Fri Jun 25 21:09:44 2021 matrix is 14882390 x 14882567 (6886.4 MB) with weight 1946053767 (130.76/col)
  173. Fri Jun 25 21:09:44 2021 sparse part has weight 1641517758 (110.30/col)
  174. Fri Jun 25 21:13:07 2021 matrix starts at (0, 0)
  175. Fri Jun 25 21:13:11 2021 matrix is 14882390 x 14882567 (6886.4 MB) with weight 1946053767 (130.76/col)
  176. Fri Jun 25 21:13:11 2021 sparse part has weight 1641517758 (110.30/col)
  177. Fri Jun 25 21:13:11 2021 saving the first 48 matrix rows for later
  178. Fri Jun 25 21:13:15 2021 matrix includes 64 packed rows
  179. Fri Jun 25 21:13:18 2021 matrix is 14882342 x 14882567 (6603.6 MB) with weight 1683483961 (113.12/col)
  180. Fri Jun 25 21:13:18 2021 sparse part has weight 1582262945 (106.32/col)
  181. Fri Jun 25 21:13:18 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  182. Fri Jun 25 21:14:48 2021 commencing Lanczos iteration (8 threads)
  183. Fri Jun 25 21:14:48 2021 memory use: 5653.7 MB
  184. Fri Jun 25 21:16:56 2021 linear algebra at 0.0%, ETA 334h29m
  185. Fri Jun 25 21:17:38 2021 checkpointing every 50000 dimensions
  186. Wed Jul 07 18:21:40 2021
  187. Wed Jul 07 18:21:40 2021
  188. Wed Jul 07 18:21:40 2021 Msieve v. 1.52 (SVN unknown)
  189. Wed Jul 07 18:21:40 2021 random seeds: 29358b48 31711d21
  190. Wed Jul 07 18:21:40 2021 factoring 3926115193981831080798937052727455034090120074645686929442824490241571319624082895089371828506213008148018727523814721857168176225979055171094640444930508709017040898556297313443069460607226102517663186287955991385361 (217 digits)
  191. Wed Jul 07 18:21:42 2021 no P-1/P+1/ECM available, skipping
  192. Wed Jul 07 18:21:42 2021 commencing number field sieve (217-digit input)
  193. Wed Jul 07 18:21:42 2021 R0: 4978518112499354698647829163838661251242411
  194. Wed Jul 07 18:21:42 2021 R1: -45474735088646411895751953125
  195. Wed Jul 07 18:21:42 2021 A0: 25
  196. Wed Jul 07 18:21:42 2021 A1: 0
  197. Wed Jul 07 18:21:42 2021 A2: 0
  198. Wed Jul 07 18:21:42 2021 A3: 0
  199. Wed Jul 07 18:21:42 2021 A4: 0
  200. Wed Jul 07 18:21:42 2021 A5: 0
  201. Wed Jul 07 18:21:42 2021 A6: 121
  202. Wed Jul 07 18:21:42 2021 skew 0.77, size 5.169e-013, alpha 1.391, combined = 7.370e-014 rroots = 0
  203. Wed Jul 07 18:21:42 2021
  204. Wed Jul 07 18:21:42 2021 commencing linear algebra
  205. Wed Jul 07 18:23:13 2021 matrix starts at (0, 0)
  206. Wed Jul 07 18:23:17 2021 matrix is 14882390 x 14882567 (6886.4 MB) with weight 1946053767 (130.76/col)
  207. Wed Jul 07 18:23:17 2021 sparse part has weight 1641517758 (110.30/col)
  208. Wed Jul 07 18:23:17 2021 saving the first 48 matrix rows for later
  209. Wed Jul 07 18:23:22 2021 matrix includes 64 packed rows
  210. Wed Jul 07 18:23:24 2021 matrix is 14882342 x 14882567 (6603.6 MB) with weight 1683483961 (113.12/col)
  211. Wed Jul 07 18:23:24 2021 sparse part has weight 1582262945 (106.32/col)
  212. Wed Jul 07 18:23:25 2021 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  213. Wed Jul 07 18:24:51 2021 commencing Lanczos iteration (8 threads)
  214. Wed Jul 07 18:24:51 2021 memory use: 5653.7 MB
  215. Wed Jul 07 18:24:58 2021 restarting at iteration 196089 (dim = 12400039)
  216. Wed Jul 07 18:27:02 2021 linear algebra at 83.3%, ETA 56h33m
  217. Wed Jul 07 18:27:43 2021 checkpointing every 50000 dimensions
  218. Sat Jul 10 02:20:25 2021 lanczos halted after 235348 iterations (dim = 14882340)
  219. Sat Jul 10 02:20:41 2021 recovered 40 nontrivial dependencies
  220. Sat Jul 10 02:20:50 2021 BLanczosTime: 201548
  221. Sat Jul 10 02:20:50 2021
  222. Sat Jul 10 02:20:50 2021 commencing square root phase
  223. Sat Jul 10 02:20:50 2021 reading relations for dependency 1
  224. Sat Jul 10 02:20:57 2021 read 7441298 cycles
  225. Sat Jul 10 02:21:11 2021 cycles contain 23952196 unique relations
  226. Sat Jul 10 02:27:55 2021 read 23952196 relations
  227. Sat Jul 10 02:30:19 2021 multiplying 23952196 relations
  228. Sat Jul 10 02:56:33 2021 multiply complete, coefficients have about 788.28 million bits
  229. Sat Jul 10 02:56:41 2021 initial square root is modulo 11804971
  230. Sat Jul 10 03:29:05 2021 sqrtTime: 4095
  231. Sat Jul 10 03:29:05 2021 prp85 factor: 3664054391198399558370179100559871921272450778962158214135669282431117515425751090017
  232. Sat Jul 10 03:29:05 2021 prp133 factor: 1071522083136358543407001837550103263510169088404390195639312429704526571204126415311189065777820854183071968180853357274449977024433
  233. Sat Jul 10 03:29:05 2021 elapsed time 57:07:25
  234.  
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