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52631_43m1

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Feb 16th, 2019
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  1. Sat Feb 16 12:08:42 2019
  2. Sat Feb 16 12:08:42 2019
  3. Sat Feb 16 12:08:42 2019 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Feb 16 12:08:42 2019 random seeds: fac52340 55c193f0
  5. Sat Feb 16 12:08:42 2019 factoring 1959550077384604152479184229413366186143214536657529949304339842587965036202064783531231496223052047279703471252861628295978510931161457050290218542137807720468873407869908503999743506211168479237833 (199 digits)
  6. Sat Feb 16 12:08:43 2019 searching for 15-digit factors
  7. Sat Feb 16 12:08:43 2019 commencing number field sieve (199-digit input)
  8. Sat Feb 16 12:08:43 2019 R0: 1118642595927236732464176963918311
  9. Sat Feb 16 12:08:43 2019 R1: -1
  10. Sat Feb 16 12:08:43 2019 A0: -1
  11. Sat Feb 16 12:08:43 2019 A1: 0
  12. Sat Feb 16 12:08:43 2019 A2: 0
  13. Sat Feb 16 12:08:43 2019 A3: 0
  14. Sat Feb 16 12:08:43 2019 A4: 0
  15. Sat Feb 16 12:08:43 2019 A5: 0
  16. Sat Feb 16 12:08:43 2019 A6: 52631
  17. Sat Feb 16 12:08:43 2019 skew 0.16, size 1.522e-010, alpha 1.862, combined = 4.468e-012 rroots = 2
  18. Sat Feb 16 12:08:43 2019
  19. Sat Feb 16 12:08:43 2019 commencing relation filtering
  20. Sat Feb 16 12:08:43 2019 setting target matrix density to 105.0
  21. Sat Feb 16 12:08:43 2019 estimated available RAM is 16335.3 MB
  22. Sat Feb 16 12:08:44 2019 commencing duplicate removal, pass 1
  23. Sat Feb 16 12:09:14 2019 error -15 reading relation 3501723
  24. Sat Feb 16 12:09:16 2019 error -15 reading relation 3703492
  25. Sat Feb 16 12:09:33 2019 error -5 reading relation 5811568
  26. Sat Feb 16 12:09:51 2019 error -5 reading relation 7995529
  27. Sat Feb 16 12:10:08 2019 error -15 reading relation 10075773
  28. Sat Feb 16 12:10:30 2019 error -9 reading relation 12867257
  29. Sat Feb 16 12:10:49 2019 error -9 reading relation 15099879
  30. Sat Feb 16 12:10:58 2019 error -9 reading relation 16286916
  31. Sat Feb 16 12:10:58 2019 error -9 reading relation 16290929
  32. Sat Feb 16 12:11:21 2019 error -9 reading relation 19015823
  33. Sat Feb 16 12:11:52 2019 error -1 reading relation 22882035
  34. Sat Feb 16 12:11:58 2019 error -9 reading relation 23619896
  35. Sat Feb 16 12:12:28 2019 error -5 reading relation 27329661
  36. Sat Feb 16 12:12:43 2019 error -15 reading relation 29180282
  37. Sat Feb 16 12:12:56 2019 error -5 reading relation 30782390
  38. Sat Feb 16 12:12:56 2019 error -9 reading relation 30797584
  39. Sat Feb 16 12:12:57 2019 error -9 reading relation 30865253
  40. Sat Feb 16 12:12:57 2019 error -9 reading relation 30867004
  41. Sat Feb 16 12:12:59 2019 error -5 reading relation 31088724
  42. Sat Feb 16 12:13:01 2019 error -9 reading relation 31333312
  43. Sat Feb 16 12:13:10 2019 error -5 reading relation 32447068
  44. Sat Feb 16 12:13:14 2019 error -9 reading relation 32988221
  45. Sat Feb 16 12:13:15 2019 error -1 reading relation 33036747
  46. Sat Feb 16 12:13:19 2019 error -9 reading relation 33535608
  47. Sat Feb 16 12:13:26 2019 error -1 reading relation 34388469
  48. Sat Feb 16 12:13:47 2019 error -1 reading relation 37042347
  49. Sat Feb 16 12:13:56 2019 error -9 reading relation 38037029
  50. Sat Feb 16 12:14:27 2019 error -1 reading relation 41938111
  51. Sat Feb 16 12:14:31 2019 error -15 reading relation 42325944
  52. Sat Feb 16 12:14:31 2019 error -15 reading relation 42348924
  53. Sat Feb 16 12:14:37 2019 error -15 reading relation 43103047
  54. Sat Feb 16 12:14:37 2019 error -9 reading relation 43124099
  55. Sat Feb 16 12:14:49 2019 error -1 reading relation 44623445
  56. Sat Feb 16 12:14:50 2019 error -15 reading relation 44654969
  57. Sat Feb 16 12:14:52 2019 error -9 reading relation 44926684
  58. Sat Feb 16 12:15:01 2019 error -9 reading relation 46084704
  59. Sat Feb 16 12:15:05 2019 error -9 reading relation 46501413
  60. Sat Feb 16 12:15:09 2019 error -5 reading relation 46958355
  61. Sat Feb 16 12:15:13 2019 error -15 reading relation 47509897
  62. Sat Feb 16 12:15:15 2019 error -9 reading relation 47705620
  63. Sat Feb 16 12:15:16 2019 error -15 reading relation 47808712
  64. Sat Feb 16 12:15:18 2019 error -9 reading relation 48067906
  65. Sat Feb 16 12:15:18 2019 error -5 reading relation 48145618
  66. Sat Feb 16 12:15:20 2019 error -9 reading relation 48364101
  67. Sat Feb 16 12:15:22 2019 error -9 reading relation 48549948
  68. Sat Feb 16 12:15:22 2019 error -9 reading relation 48653665
  69. Sat Feb 16 12:15:23 2019 error -15 reading relation 48671273
  70. Sat Feb 16 12:15:29 2019 error -15 reading relation 49413685
  71. Sat Feb 16 12:15:30 2019 error -9 reading relation 49534849
  72. Sat Feb 16 12:15:35 2019 error -15 reading relation 50166476
  73. Sat Feb 16 12:15:35 2019 error -9 reading relation 50204358
  74. Sat Feb 16 12:15:35 2019 error -15 reading relation 50226929
  75. Sat Feb 16 12:15:36 2019 error -15 reading relation 50313889
  76. Sat Feb 16 12:15:43 2019 error -15 reading relation 51209577
  77. Sat Feb 16 12:15:49 2019 error -5 reading relation 51873262
  78. Sat Feb 16 12:15:56 2019 error -15 reading relation 52691651
  79. Sat Feb 16 12:16:05 2019 error -9 reading relation 53815956
  80. Sat Feb 16 12:16:05 2019 skipped 44 relations with b > 2^32
  81. Sat Feb 16 12:16:05 2019 skipped 34 relations with composite factors
  82. Sat Feb 16 12:16:05 2019 found 7797824 hash collisions in 53891191 relations
  83. Sat Feb 16 12:16:22 2019 added 1219439 free relations
  84. Sat Feb 16 12:16:22 2019 commencing duplicate removal, pass 2
  85. Sat Feb 16 12:16:47 2019 found 6639890 duplicates and 48470740 unique relations
  86. Sat Feb 16 12:16:47 2019 memory use: 213.2 MB
  87. Sat Feb 16 12:16:47 2019 reading ideals above 720000
  88. Sat Feb 16 12:16:47 2019 commencing singleton removal, initial pass
  89. Sat Feb 16 12:22:57 2019 memory use: 1378.0 MB
  90. Sat Feb 16 12:22:58 2019 reading all ideals from disk
  91. Sat Feb 16 12:22:58 2019 memory use: 1730.5 MB
  92. Sat Feb 16 12:23:02 2019 keeping 43419407 ideals with weight <= 200, target excess is 259220
  93. Sat Feb 16 12:23:06 2019 commencing in-memory singleton removal
  94. Sat Feb 16 12:23:09 2019 begin with 48470740 relations and 43419407 unique ideals
  95. Sat Feb 16 12:23:42 2019 reduce to 31224174 relations and 24522415 ideals in 13 passes
  96. Sat Feb 16 12:23:42 2019 max relations containing the same ideal: 155
  97. Sat Feb 16 12:23:53 2019 removing 4018635 relations and 3018635 ideals in 1000000 cliques
  98. Sat Feb 16 12:23:55 2019 commencing in-memory singleton removal
  99. Sat Feb 16 12:23:57 2019 begin with 27205539 relations and 24522415 unique ideals
  100. Sat Feb 16 12:24:12 2019 reduce to 26763893 relations and 21043849 ideals in 8 passes
  101. Sat Feb 16 12:24:12 2019 max relations containing the same ideal: 139
  102. Sat Feb 16 12:24:22 2019 removing 3225230 relations and 2225230 ideals in 1000000 cliques
  103. Sat Feb 16 12:24:23 2019 commencing in-memory singleton removal
  104. Sat Feb 16 12:24:25 2019 begin with 23538663 relations and 21043849 unique ideals
  105. Sat Feb 16 12:24:36 2019 reduce to 23269873 relations and 18539586 ideals in 7 passes
  106. Sat Feb 16 12:24:36 2019 max relations containing the same ideal: 128
  107. Sat Feb 16 12:24:45 2019 removing 2968854 relations and 1968854 ideals in 1000000 cliques
  108. Sat Feb 16 12:24:46 2019 commencing in-memory singleton removal
  109. Sat Feb 16 12:24:47 2019 begin with 20301019 relations and 18539586 unique ideals
  110. Sat Feb 16 12:24:56 2019 reduce to 20066373 relations and 16327052 ideals in 6 passes
  111. Sat Feb 16 12:24:56 2019 max relations containing the same ideal: 115
  112. Sat Feb 16 12:25:03 2019 removing 2831007 relations and 1831007 ideals in 1000000 cliques
  113. Sat Feb 16 12:25:04 2019 commencing in-memory singleton removal
  114. Sat Feb 16 12:25:05 2019 begin with 17235366 relations and 16327052 unique ideals
  115. Sat Feb 16 12:25:13 2019 reduce to 17013904 relations and 14265004 ideals in 7 passes
  116. Sat Feb 16 12:25:13 2019 max relations containing the same ideal: 101
  117. Sat Feb 16 12:25:19 2019 removing 2728816 relations and 1728816 ideals in 1000000 cliques
  118. Sat Feb 16 12:25:20 2019 commencing in-memory singleton removal
  119. Sat Feb 16 12:25:21 2019 begin with 14285088 relations and 14265004 unique ideals
  120. Sat Feb 16 12:25:27 2019 reduce to 14059938 relations and 12299722 ideals in 6 passes
  121. Sat Feb 16 12:25:27 2019 max relations containing the same ideal: 90
  122. Sat Feb 16 12:25:32 2019 removing 2647971 relations and 1647971 ideals in 1000000 cliques
  123. Sat Feb 16 12:25:33 2019 commencing in-memory singleton removal
  124. Sat Feb 16 12:25:33 2019 begin with 11411967 relations and 12299722 unique ideals
  125. Sat Feb 16 12:25:39 2019 reduce to 11164882 relations and 10390232 ideals in 7 passes
  126. Sat Feb 16 12:25:39 2019 max relations containing the same ideal: 78
  127. Sat Feb 16 12:25:43 2019 removing 1378581 relations and 904627 ideals in 473954 cliques
  128. Sat Feb 16 12:25:43 2019 commencing in-memory singleton removal
  129. Sat Feb 16 12:25:44 2019 begin with 9786301 relations and 10390232 unique ideals
  130. Sat Feb 16 12:25:48 2019 reduce to 9675955 relations and 9371137 ideals in 7 passes
  131. Sat Feb 16 12:25:48 2019 max relations containing the same ideal: 71
  132. Sat Feb 16 12:25:53 2019 relations with 0 large ideals: 8548
  133. Sat Feb 16 12:25:53 2019 relations with 1 large ideals: 5933
  134. Sat Feb 16 12:25:53 2019 relations with 2 large ideals: 44106
  135. Sat Feb 16 12:25:53 2019 relations with 3 large ideals: 286583
  136. Sat Feb 16 12:25:53 2019 relations with 4 large ideals: 1008286
  137. Sat Feb 16 12:25:53 2019 relations with 5 large ideals: 2073776
  138. Sat Feb 16 12:25:53 2019 relations with 6 large ideals: 2620717
  139. Sat Feb 16 12:25:53 2019 relations with 7+ large ideals: 3628006
  140. Sat Feb 16 12:25:53 2019 commencing 2-way merge
  141. Sat Feb 16 12:25:58 2019 reduce to 6972345 relation sets and 6667527 unique ideals
  142. Sat Feb 16 12:25:58 2019 commencing full merge
  143. Sat Feb 16 12:27:56 2019 memory use: 872.1 MB
  144. Sat Feb 16 12:27:57 2019 found 3240635 cycles, need 3205727
  145. Sat Feb 16 12:27:57 2019 weight of 3205727 cycles is about 336675836 (105.02/cycle)
  146. Sat Feb 16 12:27:57 2019 distribution of cycle lengths:
  147. Sat Feb 16 12:27:57 2019 1 relations: 73830
  148. Sat Feb 16 12:27:57 2019 2 relations: 170228
  149. Sat Feb 16 12:27:57 2019 3 relations: 236705
  150. Sat Feb 16 12:27:57 2019 4 relations: 267004
  151. Sat Feb 16 12:27:57 2019 5 relations: 288287
  152. Sat Feb 16 12:27:57 2019 6 relations: 289336
  153. Sat Feb 16 12:27:57 2019 7 relations: 282454
  154. Sat Feb 16 12:27:57 2019 8 relations: 263331
  155. Sat Feb 16 12:27:57 2019 9 relations: 238125
  156. Sat Feb 16 12:27:57 2019 10+ relations: 1096427
  157. Sat Feb 16 12:27:57 2019 heaviest cycle: 27 relations
  158. Sat Feb 16 12:27:58 2019 commencing cycle optimization
  159. Sat Feb 16 12:28:02 2019 start with 26247011 relations
  160. Sat Feb 16 12:28:55 2019 pruned 1368679 relations
  161. Sat Feb 16 12:28:55 2019 memory use: 677.3 MB
  162. Sat Feb 16 12:28:55 2019 distribution of cycle lengths:
  163. Sat Feb 16 12:28:55 2019 1 relations: 73830
  164. Sat Feb 16 12:28:55 2019 2 relations: 175443
  165. Sat Feb 16 12:28:55 2019 3 relations: 249001
  166. Sat Feb 16 12:28:55 2019 4 relations: 281856
  167. Sat Feb 16 12:28:55 2019 5 relations: 307569
  168. Sat Feb 16 12:28:55 2019 6 relations: 308046
  169. Sat Feb 16 12:28:55 2019 7 relations: 300832
  170. Sat Feb 16 12:28:55 2019 8 relations: 277529
  171. Sat Feb 16 12:28:55 2019 9 relations: 248986
  172. Sat Feb 16 12:28:55 2019 10+ relations: 982635
  173. Sat Feb 16 12:28:55 2019 heaviest cycle: 26 relations
  174. Sat Feb 16 12:28:58 2019 RelProcTime: 1215
  175. Sat Feb 16 12:28:58 2019
  176. Sat Feb 16 12:28:58 2019 commencing linear algebra
  177. Sat Feb 16 12:28:58 2019 read 3205727 cycles
  178. Sat Feb 16 12:29:04 2019 cycles contain 9533532 unique relations
  179. Sat Feb 16 12:30:05 2019 read 9533532 relations
  180. Sat Feb 16 12:30:18 2019 using 20 quadratic characters above 4294917295
  181. Sat Feb 16 12:31:02 2019 building initial matrix
  182. Sat Feb 16 12:32:56 2019 memory use: 1224.3 MB
  183. Sat Feb 16 12:32:58 2019 read 3205727 cycles
  184. Sat Feb 16 12:32:58 2019 matrix is 3205550 x 3205727 (1325.5 MB) with weight 384895078 (120.06/col)
  185. Sat Feb 16 12:32:58 2019 sparse part has weight 312207222 (97.39/col)
  186. Sat Feb 16 12:33:31 2019 filtering completed in 2 passes
  187. Sat Feb 16 12:33:32 2019 matrix is 3205479 x 3205655 (1325.5 MB) with weight 384891793 (120.07/col)
  188. Sat Feb 16 12:33:32 2019 sparse part has weight 312205536 (97.39/col)
  189. Sat Feb 16 12:33:39 2019 matrix starts at (0, 0)
  190. Sat Feb 16 12:33:39 2019 matrix is 3205479 x 3205655 (1325.5 MB) with weight 384891793 (120.07/col)
  191. Sat Feb 16 12:33:39 2019 sparse part has weight 312205536 (97.39/col)
  192. Sat Feb 16 12:33:39 2019 saving the first 112 matrix rows for later
  193. Sat Feb 16 12:33:40 2019 matrix includes 128 packed rows
  194. Sat Feb 16 12:33:41 2019 matrix is 3205367 x 3205655 (1225.7 MB) with weight 299818604 (93.53/col)
  195. Sat Feb 16 12:33:41 2019 sparse part has weight 282832635 (88.23/col)
  196. Sat Feb 16 12:33:41 2019 using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  197. Sat Feb 16 12:33:52 2019 commencing Lanczos iteration (8 threads)
  198. Sat Feb 16 12:33:52 2019 memory use: 1369.3 MB
  199. Sat Feb 16 12:34:01 2019 linear algebra at 0.0%, ETA 5h15m
  200. Sat Feb 16 12:34:04 2019 checkpointing every 620000 dimensions
  201. Sat Feb 16 17:45:56 2019 lanczos halted after 25194 iterations (dim = 3205365)
  202. Sat Feb 16 17:46:04 2019 recovered 35 nontrivial dependencies
  203. Sat Feb 16 17:46:05 2019 BLanczosTime: 19027
  204. Sat Feb 16 17:46:05 2019
  205. Sat Feb 16 17:46:05 2019 commencing square root phase
  206. Sat Feb 16 17:46:05 2019 handling dependencies 1 to 64
  207. Sat Feb 16 17:46:05 2019 reading relations for dependency 1
  208. Sat Feb 16 17:46:06 2019 read 1603009 cycles
  209. Sat Feb 16 17:46:08 2019 cycles contain 4767932 unique relations
  210. Sat Feb 16 17:46:43 2019 read 4767932 relations
  211. Sat Feb 16 17:47:04 2019 multiplying 4767932 relations
  212. Sat Feb 16 17:51:53 2019 multiply complete, coefficients have about 183.57 million bits
  213. Sat Feb 16 17:51:53 2019 initial square root is modulo 3872833
  214. Sat Feb 16 17:57:30 2019 sqrtTime: 685
  215. Sat Feb 16 17:57:30 2019 p64 factor: 2219493256751506991497981896502151977018230496776557108211416177
  216. Sat Feb 16 17:57:30 2019 p135 factor: 882881744030454647695656669966572251611231970083642097211463720720920851878891898418435826491240341211522280217047384194741234976263129
  217. Sat Feb 16 17:57:30 2019 elapsed time 05:48:48
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