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May 8th, 2018
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  1. Sat Apr 21 13:09:30 2018 Msieve v. 1.53 (SVN unknown)
  2. Sat Apr 21 13:09:30 2018 random seeds: d069b884 c13dd432
  3. Sat Apr 21 13:09:30 2018 factoring 7997085338078121978016624396860397836399506308737414796818923712658923013977062578840663872715006667776481505546502822535909762705845972859243606038648328426845384356522428671394177191 (184 digits)
  4. Sat Apr 21 13:09:31 2018 searching for 15-digit factors
  5. Sat Apr 21 13:09:32 2018 commencing number field sieve (184-digit input)
  6. Sat Apr 21 13:09:32 2018 R0: 6450687706606674009565167454064864055907
  7. Sat Apr 21 13:09:32 2018 R1: -1
  8. Sat Apr 21 13:09:32 2018 A0: -91605427
  9. Sat Apr 21 13:09:32 2018 A1: 0
  10. Sat Apr 21 13:09:32 2018 A2: 0
  11. Sat Apr 21 13:09:32 2018 A3: 0
  12. Sat Apr 21 13:09:32 2018 A4: 0
  13. Sat Apr 21 13:09:32 2018 A5: 0
  14. Sat Apr 21 13:09:32 2018 A6: 1
  15. Sat Apr 21 13:09:32 2018 skew 21.23, size 1.381e-12, alpha 1.455, combined = 1.581e-13 rroots = 2
  16. Sat Apr 21 13:09:32 2018
  17. Sat Apr 21 13:09:32 2018 commencing relation filtering
  18. Sat Apr 21 13:09:32 2018 setting target matrix density to 104.0
  19. Sat Apr 21 13:09:32 2018 estimated available RAM is 16007.4 MB
  20. Sat Apr 21 13:09:32 2018 commencing duplicate removal, pass 1
  21. Sat Apr 21 13:10:16 2018 error -15 reading relation 6435774
  22. Sat Apr 21 13:12:24 2018 error -15 reading relation 25181079
  23. Sat Apr 21 13:17:20 2018 error -11 reading relation 68372085
  24. Sat Apr 21 13:17:38 2018 error -15 reading relation 71031984
  25. Sat Apr 21 13:19:04 2018 error -15 reading relation 83525338
  26. Sat Apr 21 13:22:12 2018 error -11 reading relation 110868552
  27. Sat Apr 21 13:23:07 2018 error -6 reading relation 118884504
  28. Sat Apr 21 13:24:24 2018 error -11 reading relation 130201177
  29. Sat Apr 21 13:24:25 2018 error -15 reading relation 130259959
  30. Sat Apr 21 13:24:52 2018 error -15 reading relation 134174460
  31. Sat Apr 21 13:25:29 2018 error -5 reading relation 139622403
  32. Sat Apr 21 13:26:05 2018 error -11 reading relation 144781694
  33. Sat Apr 21 13:26:32 2018 error -15 reading relation 148812615
  34. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622487
  35. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622488
  36. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622489
  37. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622490
  38. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622491
  39. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622492
  40. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622493
  41. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622494
  42. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622495
  43. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622497
  44. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622499
  45. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622500
  46. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622501
  47. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622502
  48. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622503
  49. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622504
  50. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622505
  51. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622506
  52. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622508
  53. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622509
  54. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622511
  55. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622512
  56. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622513
  57. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622514
  58. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622515
  59. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622516
  60. Sat Apr 21 13:27:33 2018 error -11 reading relation 157622517
  61. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622518
  62. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622519
  63. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622520
  64. Sat Apr 21 13:27:33 2018 error -11 reading relation 157622521
  65. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622522
  66. Sat Apr 21 13:27:33 2018 error -11 reading relation 157622524
  67. Sat Apr 21 13:27:33 2018 error -6 reading relation 157622525
  68. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622526
  69. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622527
  70. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622528
  71. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622529
  72. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622530
  73. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622531
  74. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622532
  75. Sat Apr 21 13:27:33 2018 error -11 reading relation 157622533
  76. Sat Apr 21 13:27:33 2018 error -1 reading relation 157622535
  77. Sat Apr 21 13:27:59 2018 error -1 reading relation 161464701
  78. Sat Apr 21 13:29:37 2018 skipped 2 relations with b > 2^32
  79. Sat Apr 21 13:29:37 2018 skipped 8 relations with composite factors
  80. Sat Apr 21 13:29:37 2018 found 6734603 hash collisions in 174682260 relations
  81. Sat Apr 21 13:29:47 2018 commencing duplicate removal, pass 2
  82. Sat Apr 21 13:30:38 2018 found 0 duplicates and 174682260 unique relations
  83. Sat Apr 21 13:30:38 2018 memory use: 506.4 MB
  84. Sat Apr 21 13:30:38 2018 reading ideals above 133365760
  85. Sat Apr 21 13:30:38 2018 commencing singleton removal, initial pass
  86. Sat Apr 21 13:45:31 2018 memory use: 3012.0 MB
  87. Sat Apr 21 13:45:31 2018 reading all ideals from disk
  88. Sat Apr 21 13:45:38 2018 memory use: 3463.4 MB
  89. Sat Apr 21 13:45:44 2018 commencing in-memory singleton removal
  90. Sat Apr 21 13:45:50 2018 begin with 174682260 relations and 161001155 unique ideals
  91. Sat Apr 21 13:47:06 2018 reduce to 102335998 relations and 80376316 ideals in 16 passes
  92. Sat Apr 21 13:47:06 2018 max relations containing the same ideal: 35
  93. Sat Apr 21 13:47:11 2018 reading ideals above 720000
  94. Sat Apr 21 13:47:12 2018 commencing singleton removal, initial pass
  95. Sat Apr 21 13:58:13 2018 memory use: 2756.0 MB
  96. Sat Apr 21 13:58:13 2018 reading all ideals from disk
  97. Sat Apr 21 13:58:22 2018 memory use: 4096.2 MB
  98. Sat Apr 21 13:58:32 2018 keeping 94979686 ideals with weight <= 200, target excess is 508061
  99. Sat Apr 21 13:58:42 2018 commencing in-memory singleton removal
  100. Sat Apr 21 13:58:50 2018 begin with 102335998 relations and 94979686 unique ideals
  101. Sat Apr 21 13:59:51 2018 reduce to 102334915 relations and 94978603 ideals in 7 passes
  102. Sat Apr 21 13:59:51 2018 max relations containing the same ideal: 200
  103. Sat Apr 21 14:00:36 2018 removing 8229804 relations and 7229804 ideals in 1000000 cliques
  104. Sat Apr 21 14:00:39 2018 commencing in-memory singleton removal
  105. Sat Apr 21 14:00:47 2018 begin with 94105111 relations and 94978603 unique ideals
  106. Sat Apr 21 14:02:07 2018 reduce to 93523081 relations and 87158404 ideals in 10 passes
  107. Sat Apr 21 14:02:07 2018 max relations containing the same ideal: 196
  108. Sat Apr 21 14:02:49 2018 removing 6150634 relations and 5150634 ideals in 1000000 cliques
  109. Sat Apr 21 14:02:51 2018 commencing in-memory singleton removal
  110. Sat Apr 21 14:02:58 2018 begin with 87372447 relations and 87158404 unique ideals
  111. Sat Apr 21 14:04:11 2018 reduce to 87016039 relations and 81647065 ideals in 10 passes
  112. Sat Apr 21 14:04:11 2018 max relations containing the same ideal: 189
  113. Sat Apr 21 14:04:49 2018 removing 5498605 relations and 4498605 ideals in 1000000 cliques
  114. Sat Apr 21 14:04:51 2018 commencing in-memory singleton removal
  115. Sat Apr 21 14:04:58 2018 begin with 81517434 relations and 81647065 unique ideals
  116. Sat Apr 21 14:05:59 2018 reduce to 81212735 relations and 76840120 ideals in 9 passes
  117. Sat Apr 21 14:05:59 2018 max relations containing the same ideal: 185
  118. Sat Apr 21 14:06:35 2018 removing 5153727 relations and 4153727 ideals in 1000000 cliques
  119. Sat Apr 21 14:06:37 2018 commencing in-memory singleton removal
  120. Sat Apr 21 14:06:43 2018 begin with 76059008 relations and 76840120 unique ideals
  121. Sat Apr 21 14:07:34 2018 reduce to 75775936 relations and 72399811 ideals in 8 passes
  122. Sat Apr 21 14:07:34 2018 max relations containing the same ideal: 180
  123. Sat Apr 21 14:08:07 2018 removing 4931841 relations and 3931841 ideals in 1000000 cliques
  124. Sat Apr 21 14:08:09 2018 commencing in-memory singleton removal
  125. Sat Apr 21 14:08:15 2018 begin with 70844095 relations and 72399811 unique ideals
  126. Sat Apr 21 14:09:02 2018 reduce to 70566691 relations and 68187067 ideals in 8 passes
  127. Sat Apr 21 14:09:02 2018 max relations containing the same ideal: 170
  128. Sat Apr 21 14:09:33 2018 removing 4782534 relations and 3782535 ideals in 1000000 cliques
  129. Sat Apr 21 14:09:35 2018 commencing in-memory singleton removal
  130. Sat Apr 21 14:09:40 2018 begin with 65784157 relations and 68187067 unique ideals
  131. Sat Apr 21 14:10:24 2018 reduce to 65506695 relations and 64123445 ideals in 8 passes
  132. Sat Apr 21 14:10:24 2018 max relations containing the same ideal: 159
  133. Sat Apr 21 14:10:55 2018 removing 3876865 relations and 3082966 ideals in 793899 cliques
  134. Sat Apr 21 14:10:56 2018 commencing in-memory singleton removal
  135. Sat Apr 21 14:11:01 2018 begin with 61629830 relations and 64123445 unique ideals
  136. Sat Apr 21 14:11:43 2018 reduce to 61438649 relations and 60847136 ideals in 8 passes
  137. Sat Apr 21 14:11:43 2018 max relations containing the same ideal: 151
  138. Sat Apr 21 14:12:21 2018 relations with 0 large ideals: 19238
  139. Sat Apr 21 14:12:21 2018 relations with 1 large ideals: 4072
  140. Sat Apr 21 14:12:21 2018 relations with 2 large ideals: 49604
  141. Sat Apr 21 14:12:21 2018 relations with 3 large ideals: 444784
  142. Sat Apr 21 14:12:21 2018 relations with 4 large ideals: 2231302
  143. Sat Apr 21 14:12:21 2018 relations with 5 large ideals: 6848411
  144. Sat Apr 21 14:12:21 2018 relations with 6 large ideals: 13325399
  145. Sat Apr 21 14:12:21 2018 relations with 7+ large ideals: 38515839
  146. Sat Apr 21 14:12:21 2018 commencing 2-way merge
  147. Sat Apr 21 14:12:58 2018 reduce to 40094680 relation sets and 39503167 unique ideals
  148. Sat Apr 21 14:12:58 2018 commencing full merge
  149. Sat Apr 21 14:27:39 2018 memory use: 4999.7 MB
  150. Sat Apr 21 14:27:43 2018 found 18589936 cycles, need 18587367
  151. Sat Apr 21 14:27:49 2018 weight of 18587367 cycles is about 1933386020 (104.02/cycle)
  152. Sat Apr 21 14:27:49 2018 distribution of cycle lengths:
  153. Sat Apr 21 14:27:49 2018 1 relations: 1476539
  154. Sat Apr 21 14:27:49 2018 2 relations: 1663237
  155. Sat Apr 21 14:27:49 2018 3 relations: 1695398
  156. Sat Apr 21 14:27:49 2018 4 relations: 1594804
  157. Sat Apr 21 14:27:49 2018 5 relations: 1493459
  158. Sat Apr 21 14:27:49 2018 6 relations: 1360474
  159. Sat Apr 21 14:27:49 2018 7 relations: 1255049
  160. Sat Apr 21 14:27:49 2018 8 relations: 1137372
  161. Sat Apr 21 14:27:49 2018 9 relations: 1017105
  162. Sat Apr 21 14:27:49 2018 10+ relations: 5893930
  163. Sat Apr 21 14:27:49 2018 heaviest cycle: 28 relations
  164. Sat Apr 21 14:27:55 2018 commencing cycle optimization
  165. Sat Apr 21 14:28:23 2018 start with 143434319 relations
  166. Sat Apr 21 14:33:19 2018 pruned 5271377 relations
  167. Sat Apr 21 14:33:19 2018 memory use: 4021.8 MB
  168. Sat Apr 21 14:33:19 2018 distribution of cycle lengths:
  169. Sat Apr 21 14:33:19 2018 1 relations: 1476539
  170. Sat Apr 21 14:33:19 2018 2 relations: 1702799
  171. Sat Apr 21 14:33:19 2018 3 relations: 1765572
  172. Sat Apr 21 14:33:19 2018 4 relations: 1650693
  173. Sat Apr 21 14:33:19 2018 5 relations: 1550553
  174. Sat Apr 21 14:33:19 2018 6 relations: 1403630
  175. Sat Apr 21 14:33:19 2018 7 relations: 1292038
  176. Sat Apr 21 14:33:19 2018 8 relations: 1163216
  177. Sat Apr 21 14:33:19 2018 9 relations: 1034759
  178. Sat Apr 21 14:33:19 2018 10+ relations: 5547568
  179. Sat Apr 21 14:33:19 2018 heaviest cycle: 28 relations
  180. Sat Apr 21 14:33:48 2018 RelProcTime: 5056
  181. Sat Apr 21 14:33:48 2018
  182. Sat Apr 21 14:33:48 2018 commencing linear algebra
  183. Sat Apr 21 14:33:56 2018 read 18587367 cycles
  184. Sat Apr 21 14:34:29 2018 cycles contain 60993548 unique relations
  185. Sat Apr 21 14:39:05 2018 read 60993548 relations
  186. Sat Apr 21 14:40:38 2018 using 20 quadratic characters above 4294917295
  187. Sat Apr 21 14:44:34 2018 building initial matrix
  188. Sat Apr 21 14:54:20 2018 memory use: 7674.8 MB
  189. Sat Apr 21 14:54:32 2018 read 18587367 cycles
  190. Sat Apr 21 14:54:34 2018 matrix is 18587190 x 18587367 (7678.1 MB) with weight 2219047592 (119.38/col)
  191. Sat Apr 21 14:54:34 2018 sparse part has weight 1826891336 (98.29/col)
  192. Sat Apr 21 14:58:04 2018 filtering completed in 2 passes
  193. Sat Apr 21 14:58:07 2018 matrix is 18587003 x 18587180 (7678.1 MB) with weight 2219041902 (119.39/col)
  194. Sat Apr 21 14:58:07 2018 sparse part has weight 1826889770 (98.29/col)
  195. Sat Apr 21 14:59:10 2018 matrix starts at (0, 0)
  196. Sat Apr 21 14:59:12 2018 matrix is 18587003 x 18587180 (7678.1 MB) with weight 2219041902 (119.39/col)
  197. Sat Apr 21 14:59:12 2018 sparse part has weight 1826889770 (98.29/col)
  198. Sat Apr 21 14:59:12 2018 saving the first 48 matrix rows for later
  199. Sat Apr 21 14:59:15 2018 matrix includes 64 packed rows
  200. Sat Apr 21 14:59:17 2018 matrix is 18586955 x 18587180 (7381.5 MB) with weight 1874168333 (100.83/col)
  201. Sat Apr 21 14:59:17 2018 sparse part has weight 1749144283 (94.10/col)
  202. Sat Apr 21 14:59:17 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  203. Sat Apr 21 15:00:37 2018 commencing Lanczos iteration (4 threads)
  204. Sat Apr 21 15:00:37 2018 memory use: 6308.9 MB
  205. Sat Apr 21 15:02:17 2018 linear algebra at 0.0%, ETA 326h42m
  206. Sat Apr 21 15:02:50 2018 checkpointing every 60000 dimensions
  207. Sat May 5 07:00:53 2018 lanczos halted after 293937 iterations (dim = 18586951)
  208. Sat May 5 07:01:09 2018 recovered 35 nontrivial dependencies
  209. Sat May 5 07:01:10 2018 BLanczosTime: 1182442
  210. Sat May 5 07:01:10 2018
  211. Sat May 5 07:01:10 2018 commencing square root phase
  212. Sat May 5 07:01:10 2018 handling dependencies 1 to 64
  213. Sat May 5 07:01:10 2018 reading relations for dependency 1
  214. Sat May 5 07:01:12 2018 read 9290865 cycles
  215. Sat May 5 07:01:27 2018 cycles contain 30492132 unique relations
  216. Sat May 5 07:03:44 2018 read 30492132 relations
  217. Sat May 5 07:05:46 2018 multiplying 30492132 relations
  218. Sat May 5 07:29:03 2018 multiply complete, coefficients have about 833.05 million bits
  219. Sat May 5 07:29:06 2018 initial square root is modulo 29766271
  220. Sat May 5 07:53:14 2018 sqrtTime: 3124
  221. Sat May 5 07:53:14 2018 p92 factor: 54483467463065630358551318091117239301170462674998254444305161654679311681906407265179278447
  222. Sat May 5 07:53:14 2018 p93 factor: 146780036411951021634974321831431212016229531680026450525860286104307038602901026348020468553
  223. Sat May 5 07:53:14 2018 elapsed time 330:43:44
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