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May 18th, 2018
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  1. Fri May 11 13:37:15 2018
  2. Fri May 11 13:37:15 2018
  3. Fri May 11 13:37:15 2018 Msieve v. 1.52 (SVN unknown)
  4. Fri May 11 13:37:15 2018 random seeds: cff73564 397d14e3
  5. Fri May 11 13:37:15 2018 factoring 150826953004613608413756734306900070962473810747766544031798084407009355892093285604292852673042954908898374690039074473850084340841788948543178619587650159533492100551160336211807530026414470114592791019534905979311 (216 digits)
  6. Fri May 11 13:37:16 2018 no P-1/P+1/ECM available, skipping
  7. Fri May 11 13:37:16 2018 commencing number field sieve (216-digit input)
  8. Fri May 11 13:37:16 2018 R0: 3709203584816762750361605901613244632119234246512357131
  9. Fri May 11 13:37:16 2018 R1: -1
  10. Fri May 11 13:37:16 2018 A0: 1
  11. Fri May 11 13:37:16 2018 A1: 1
  12. Fri May 11 13:37:16 2018 A2: 1
  13. Fri May 11 13:37:16 2018 A3: 1
  14. Fri May 11 13:37:16 2018 A4: 1
  15. Fri May 11 13:37:16 2018 skew 1.00, size 3.043e-022, alpha 1.694, combined = 2.863e-013 rroots = 0
  16. Fri May 11 13:37:16 2018
  17. Fri May 11 13:37:16 2018 commencing relation filtering
  18. Fri May 11 13:37:16 2018 setting target matrix density to 110.0
  19. Fri May 11 13:37:16 2018 estimated available RAM is 16316.6 MB
  20. Fri May 11 13:37:16 2018 commencing duplicate removal, pass 1
  21. Fri May 11 13:39:00 2018 error -9 reading relation 12060506
  22. Fri May 11 13:39:17 2018 error -15 reading relation 13951519
  23. Fri May 11 13:41:04 2018 error -15 reading relation 26434386
  24. Fri May 11 13:41:30 2018 error -15 reading relation 29465191
  25. Fri May 11 13:41:31 2018 error -9 reading relation 29642951
  26. Fri May 11 13:41:35 2018 error -15 reading relation 30042902
  27. Fri May 11 13:41:40 2018 error -5 reading relation 30608717
  28. Fri May 11 13:42:36 2018 error -15 reading relation 37149536
  29. Fri May 11 13:42:36 2018 error -15 reading relation 37149574
  30. Fri May 11 13:42:55 2018 error -5 reading relation 39296618
  31. Fri May 11 13:42:55 2018 error -9 reading relation 39296963
  32. Fri May 11 13:43:09 2018 error -9 reading relation 41077217
  33. Fri May 11 13:43:09 2018 error -9 reading relation 41078177
  34. Fri May 11 13:43:33 2018 error -9 reading relation 43821525
  35. Fri May 11 13:43:49 2018 error -15 reading relation 45761101
  36. Fri May 11 13:43:49 2018 error -15 reading relation 45761139
  37. Fri May 11 14:13:17 2018 error -15 reading relation 251347470
  38. Fri May 11 14:13:18 2018 error -9 reading relation 251493227
  39. Fri May 11 14:13:19 2018 error -9 reading relation 251513872
  40. Fri May 11 14:13:19 2018 error -9 reading relation 251524954
  41. Fri May 11 14:14:04 2018 skipped 509 relations with b > 2^32
  42. Fri May 11 14:14:04 2018 found 54124692 hash collisions in 255180782 relations
  43. Fri May 11 14:14:04 2018 commencing duplicate removal, pass 2
  44. Fri May 11 14:19:27 2018 found 56851997 duplicates and 198328785 unique relations
  45. Fri May 11 14:19:27 2018 memory use: 1321.5 MB
  46. Fri May 11 14:19:27 2018 reading ideals above 134021120
  47. Fri May 11 14:19:27 2018 commencing singleton removal, initial pass
  48. Fri May 11 14:51:16 2018 memory use: 3012.0 MB
  49. Fri May 11 14:51:17 2018 reading all ideals from disk
  50. Fri May 11 14:51:37 2018 memory use: 3602.4 MB
  51. Fri May 11 14:51:44 2018 commencing in-memory singleton removal
  52. Fri May 11 14:51:51 2018 begin with 198328785 relations and 159756713 unique ideals
  53. Fri May 11 14:53:11 2018 reduce to 136921100 relations and 92616645 ideals in 13 passes
  54. Fri May 11 14:53:11 2018 max relations containing the same ideal: 30
  55. Fri May 11 14:53:20 2018 reading ideals above 720000
  56. Fri May 11 14:53:21 2018 commencing singleton removal, initial pass
  57. Fri May 11 15:19:33 2018 memory use: 3012.0 MB
  58. Fri May 11 15:19:33 2018 reading all ideals from disk
  59. Fri May 11 15:20:19 2018 memory use: 5309.8 MB
  60. Fri May 11 15:20:32 2018 keeping 107139237 ideals with weight <= 200, target excess is 662572
  61. Fri May 11 15:20:47 2018 commencing in-memory singleton removal
  62. Fri May 11 15:20:58 2018 begin with 136921100 relations and 107139237 unique ideals
  63. Fri May 11 15:21:43 2018 reduce to 136919908 relations and 107138044 ideals in 4 passes
  64. Fri May 11 15:21:43 2018 max relations containing the same ideal: 200
  65. Fri May 11 15:22:38 2018 removing 10192852 relations and 8192852 ideals in 2000000 cliques
  66. Fri May 11 15:22:41 2018 commencing in-memory singleton removal
  67. Fri May 11 15:22:51 2018 begin with 126727056 relations and 107138044 unique ideals
  68. Fri May 11 15:24:16 2018 reduce to 126106477 relations and 98312449 ideals in 8 passes
  69. Fri May 11 15:24:16 2018 max relations containing the same ideal: 196
  70. Fri May 11 15:25:08 2018 removing 7803386 relations and 5803386 ideals in 2000000 cliques
  71. Fri May 11 15:25:10 2018 commencing in-memory singleton removal
  72. Fri May 11 15:25:19 2018 begin with 118303091 relations and 98312449 unique ideals
  73. Fri May 11 15:26:29 2018 reduce to 117894764 relations and 92093823 ideals in 7 passes
  74. Fri May 11 15:26:29 2018 max relations containing the same ideal: 192
  75. Fri May 11 15:27:17 2018 removing 7088210 relations and 5088210 ideals in 2000000 cliques
  76. Fri May 11 15:27:20 2018 commencing in-memory singleton removal
  77. Fri May 11 15:27:28 2018 begin with 110806554 relations and 92093823 unique ideals
  78. Fri May 11 15:28:32 2018 reduce to 110447576 relations and 86640750 ideals in 7 passes
  79. Fri May 11 15:28:32 2018 max relations containing the same ideal: 185
  80. Fri May 11 15:29:18 2018 removing 6733793 relations and 4733793 ideals in 2000000 cliques
  81. Fri May 11 15:29:20 2018 commencing in-memory singleton removal
  82. Fri May 11 15:29:28 2018 begin with 103713783 relations and 86640750 unique ideals
  83. Fri May 11 15:30:28 2018 reduce to 103377624 relations and 81564897 ideals in 7 passes
  84. Fri May 11 15:30:28 2018 max relations containing the same ideal: 178
  85. Fri May 11 15:31:11 2018 removing 6514609 relations and 4514609 ideals in 2000000 cliques
  86. Fri May 11 15:31:13 2018 commencing in-memory singleton removal
  87. Fri May 11 15:31:21 2018 begin with 96863015 relations and 81564897 unique ideals
  88. Fri May 11 15:32:08 2018 reduce to 96533215 relations and 76714498 ideals in 6 passes
  89. Fri May 11 15:32:08 2018 max relations containing the same ideal: 169
  90. Fri May 11 15:32:49 2018 removing 6372904 relations and 4372904 ideals in 2000000 cliques
  91. Fri May 11 15:32:51 2018 commencing in-memory singleton removal
  92. Fri May 11 15:32:57 2018 begin with 90160311 relations and 76714498 unique ideals
  93. Fri May 11 15:33:49 2018 reduce to 89831384 relations and 72006293 ideals in 7 passes
  94. Fri May 11 15:33:49 2018 max relations containing the same ideal: 161
  95. Fri May 11 15:34:26 2018 removing 6283428 relations and 4283428 ideals in 2000000 cliques
  96. Fri May 11 15:34:28 2018 commencing in-memory singleton removal
  97. Fri May 11 15:34:34 2018 begin with 83547956 relations and 72006293 unique ideals
  98. Fri May 11 15:35:15 2018 reduce to 83208820 relations and 67376964 ideals in 6 passes
  99. Fri May 11 15:35:15 2018 max relations containing the same ideal: 153
  100. Fri May 11 15:35:50 2018 removing 6222188 relations and 4222188 ideals in 2000000 cliques
  101. Fri May 11 15:35:52 2018 commencing in-memory singleton removal
  102. Fri May 11 15:35:57 2018 begin with 76986632 relations and 67376964 unique ideals
  103. Fri May 11 15:36:41 2018 reduce to 76631794 relations and 62792093 ideals in 7 passes
  104. Fri May 11 15:36:41 2018 max relations containing the same ideal: 148
  105. Fri May 11 15:37:13 2018 removing 6198797 relations and 4198797 ideals in 2000000 cliques
  106. Fri May 11 15:37:15 2018 commencing in-memory singleton removal
  107. Fri May 11 15:37:20 2018 begin with 70432997 relations and 62792093 unique ideals
  108. Fri May 11 15:37:54 2018 reduce to 70052585 relations and 58204019 ideals in 6 passes
  109. Fri May 11 15:37:54 2018 max relations containing the same ideal: 138
  110. Fri May 11 15:38:24 2018 removing 6197775 relations and 4197775 ideals in 2000000 cliques
  111. Fri May 11 15:38:25 2018 commencing in-memory singleton removal
  112. Fri May 11 15:38:30 2018 begin with 63854810 relations and 58204019 unique ideals
  113. Fri May 11 15:39:05 2018 reduce to 63441060 relations and 53582218 ideals in 7 passes
  114. Fri May 11 15:39:05 2018 max relations containing the same ideal: 131
  115. Fri May 11 15:39:33 2018 removing 6225805 relations and 4225805 ideals in 2000000 cliques
  116. Fri May 11 15:39:35 2018 commencing in-memory singleton removal
  117. Fri May 11 15:39:39 2018 begin with 57215255 relations and 53582218 unique ideals
  118. Fri May 11 15:40:10 2018 reduce to 56755702 relations and 48884115 ideals in 7 passes
  119. Fri May 11 15:40:10 2018 max relations containing the same ideal: 120
  120. Fri May 11 15:40:35 2018 removing 6278031 relations and 4278031 ideals in 2000000 cliques
  121. Fri May 11 15:40:37 2018 commencing in-memory singleton removal
  122. Fri May 11 15:40:40 2018 begin with 50477671 relations and 48884115 unique ideals
  123. Fri May 11 15:41:11 2018 reduce to 49953362 relations and 44065631 ideals in 8 passes
  124. Fri May 11 15:41:11 2018 max relations containing the same ideal: 109
  125. Fri May 11 15:41:34 2018 removing 6361037 relations and 4361037 ideals in 2000000 cliques
  126. Fri May 11 15:41:35 2018 commencing in-memory singleton removal
  127. Fri May 11 15:41:38 2018 begin with 43592325 relations and 44065631 unique ideals
  128. Fri May 11 15:42:01 2018 reduce to 42977535 relations and 39068167 ideals in 7 passes
  129. Fri May 11 15:42:01 2018 max relations containing the same ideal: 99
  130. Fri May 11 15:42:21 2018 removing 6479286 relations and 4479286 ideals in 2000000 cliques
  131. Fri May 11 15:42:23 2018 commencing in-memory singleton removal
  132. Fri May 11 15:42:25 2018 begin with 36498249 relations and 39068167 unique ideals
  133. Fri May 11 15:42:49 2018 reduce to 35748133 relations and 33808208 ideals in 9 passes
  134. Fri May 11 15:42:49 2018 max relations containing the same ideal: 87
  135. Fri May 11 15:43:06 2018 removing 4343742 relations and 3172401 ideals in 1171341 cliques
  136. Fri May 11 15:43:07 2018 commencing in-memory singleton removal
  137. Fri May 11 15:43:09 2018 begin with 31404391 relations and 33808208 unique ideals
  138. Fri May 11 15:43:25 2018 reduce to 30995927 relations and 30215119 ideals in 7 passes
  139. Fri May 11 15:43:25 2018 max relations containing the same ideal: 84
  140. Fri May 11 15:43:40 2018 removing 93764 relations and 81540 ideals in 12224 cliques
  141. Fri May 11 15:43:40 2018 commencing in-memory singleton removal
  142. Fri May 11 15:43:42 2018 begin with 30902163 relations and 30215119 unique ideals
  143. Fri May 11 15:43:54 2018 reduce to 30901960 relations and 30133376 ideals in 5 passes
  144. Fri May 11 15:43:54 2018 max relations containing the same ideal: 84
  145. Fri May 11 15:43:59 2018 relations with 0 large ideals: 52865
  146. Fri May 11 15:43:59 2018 relations with 1 large ideals: 10740
  147. Fri May 11 15:43:59 2018 relations with 2 large ideals: 130994
  148. Fri May 11 15:43:59 2018 relations with 3 large ideals: 858844
  149. Fri May 11 15:43:59 2018 relations with 4 large ideals: 3078248
  150. Fri May 11 15:43:59 2018 relations with 5 large ideals: 7549896
  151. Fri May 11 15:43:59 2018 relations with 6 large ideals: 8197883
  152. Fri May 11 15:43:59 2018 relations with 7+ large ideals: 11022490
  153. Fri May 11 15:43:59 2018 commencing 2-way merge
  154. Fri May 11 15:44:17 2018 reduce to 20199640 relation sets and 19431056 unique ideals
  155. Fri May 11 15:44:17 2018 commencing full merge
  156. Fri May 11 15:52:36 2018 memory use: 2448.2 MB
  157. Fri May 11 15:52:39 2018 found 9099914 cycles, need 9085256
  158. Fri May 11 15:52:39 2018 weight of 9085256 cycles is about 999989260 (110.07/cycle)
  159. Fri May 11 15:52:39 2018 distribution of cycle lengths:
  160. Fri May 11 15:52:39 2018 1 relations: 463529
  161. Fri May 11 15:52:39 2018 2 relations: 568765
  162. Fri May 11 15:52:39 2018 3 relations: 629930
  163. Fri May 11 15:52:39 2018 4 relations: 643987
  164. Fri May 11 15:52:39 2018 5 relations: 646070
  165. Fri May 11 15:52:39 2018 6 relations: 639105
  166. Fri May 11 15:52:39 2018 7 relations: 625068
  167. Fri May 11 15:52:39 2018 8 relations: 598085
  168. Fri May 11 15:52:39 2018 9 relations: 565827
  169. Fri May 11 15:52:39 2018 10+ relations: 3704890
  170. Fri May 11 15:52:39 2018 heaviest cycle: 28 relations
  171. Fri May 11 15:52:41 2018 commencing cycle optimization
  172. Fri May 11 15:52:58 2018 start with 81772775 relations
  173. Fri May 11 15:57:01 2018 pruned 3809127 relations
  174. Fri May 11 15:57:01 2018 memory use: 2119.2 MB
  175. Fri May 11 15:57:01 2018 distribution of cycle lengths:
  176. Fri May 11 15:57:01 2018 1 relations: 463529
  177. Fri May 11 15:57:01 2018 2 relations: 580816
  178. Fri May 11 15:57:01 2018 3 relations: 655110
  179. Fri May 11 15:57:01 2018 4 relations: 670557
  180. Fri May 11 15:57:01 2018 5 relations: 678278
  181. Fri May 11 15:57:01 2018 6 relations: 670608
  182. Fri May 11 15:57:01 2018 7 relations: 658217
  183. Fri May 11 15:57:01 2018 8 relations: 627787
  184. Fri May 11 15:57:01 2018 9 relations: 593393
  185. Fri May 11 15:57:01 2018 10+ relations: 3486961
  186. Fri May 11 15:57:01 2018 heaviest cycle: 28 relations
  187. Fri May 11 15:57:19 2018 RelProcTime: 8403
  188. Fri May 11 15:57:19 2018
  189. Fri May 11 15:57:19 2018 commencing linear algebra
  190. Fri May 11 15:57:20 2018 read 9085256 cycles
  191. Fri May 11 15:57:39 2018 cycles contain 30459055 unique relations
  192. Fri May 11 16:03:27 2018 read 30459055 relations
  193. Fri May 11 16:04:21 2018 using 20 quadratic characters above 2147476142
  194. Fri May 11 16:06:26 2018 building initial matrix
  195. Fri May 11 16:11:52 2018 memory use: 3728.4 MB
  196. Fri May 11 16:12:02 2018 read 9085256 cycles
  197. Fri May 11 16:12:05 2018 matrix is 9085079 x 9085256 (3963.2 MB) with weight 1137124682 (125.16/col)
  198. Fri May 11 16:12:05 2018 sparse part has weight 939004257 (103.35/col)
  199. Fri May 11 16:13:54 2018 filtering completed in 2 passes
  200. Fri May 11 16:13:57 2018 matrix is 9084939 x 9085116 (3963.2 MB) with weight 1137119933 (125.16/col)
  201. Fri May 11 16:13:57 2018 sparse part has weight 939002655 (103.36/col)
  202. Fri May 11 16:14:42 2018 matrix starts at (0, 0)
  203. Fri May 11 16:14:45 2018 matrix is 9084939 x 9085116 (3963.2 MB) with weight 1137119933 (125.16/col)
  204. Fri May 11 16:14:45 2018 sparse part has weight 939002655 (103.36/col)
  205. Fri May 11 16:14:45 2018 saving the first 48 matrix rows for later
  206. Fri May 11 16:14:48 2018 matrix includes 64 packed rows
  207. Fri May 11 16:14:49 2018 matrix is 9084891 x 9085116 (3791.8 MB) with weight 970474434 (106.82/col)
  208. Fri May 11 16:14:49 2018 sparse part has weight 903136439 (99.41/col)
  209. Fri May 11 16:14:49 2018 using block size 8192 and superblock size 393216 for processor cache size 4096 kB
  210. Fri May 11 16:15:35 2018 commencing Lanczos iteration (8 threads)
  211. Fri May 11 16:15:35 2018 memory use: 3217.5 MB
  212. Fri May 11 16:16:39 2018 linear algebra at 0.0%, ETA 103h23m
  213. Fri May 11 16:17:00 2018 checkpointing every 90000 dimensions
  214. Tue May 15 23:37:38 2018 lanczos halted after 143668 iterations (dim = 9084889)
  215. Tue May 15 23:38:01 2018 recovered 35 nontrivial dependencies
  216. Tue May 15 23:38:08 2018 BLanczosTime: 373249
  217. Tue May 15 23:38:08 2018
  218. Tue May 15 23:38:08 2018 commencing square root phase
  219. Tue May 15 23:38:08 2018 handling dependencies 1 to 64
  220. Tue May 15 23:38:08 2018 reading relations for dependency 1
  221. Tue May 15 23:38:10 2018 read 4541992 cycles
  222. Tue May 15 23:38:19 2018 cycles contain 15224542 unique relations
  223. Tue May 15 23:43:36 2018 read 15224542 relations
  224. Tue May 15 23:44:57 2018 multiplying 15224542 relations
  225. Tue May 15 23:50:28 2018 multiply complete, coefficients have about 386.55 million bits
  226. Tue May 15 23:50:32 2018 initial square root is modulo 8627447
  227. Tue May 15 23:58:47 2018 GCD is 1, no factor found
  228. Tue May 15 23:58:47 2018 reading relations for dependency 2
  229. Tue May 15 23:58:49 2018 read 4544765 cycles
  230. Tue May 15 23:58:58 2018 cycles contain 15232658 unique relations
  231. Wed May 16 00:04:21 2018 read 15232658 relations
  232. Wed May 16 00:05:40 2018 multiplying 15232658 relations
  233. Wed May 16 00:11:12 2018 multiply complete, coefficients have about 386.75 million bits
  234. Wed May 16 00:11:15 2018 initial square root is modulo 8700563
  235. Wed May 16 00:19:31 2018 sqrtTime: 2483
  236. Wed May 16 00:19:31 2018 prp99 factor: 250459117520463653610521688047920633636266345250786181235517058803299679395146357282727877337352031
  237. Wed May 16 00:19:31 2018 prp117 factor: 602201886271081177987072293321000712738188909927842828564153550025975464574693414297916827454194732747515241529640881
  238. Wed May 16 00:19:31 2018 elapsed time 106:42:16
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