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  1. Tue Feb 12 07:57:51 2019
  2. Tue Feb 12 07:57:51 2019
  3. Tue Feb 12 07:57:51 2019 Msieve v. 1.53 (SVN 988M)
  4. Tue Feb 12 07:57:51 2019 random seeds: 5be72d32 394fc254
  5. Tue Feb 12 07:57:51 2019 factoring 125237116416586456776617528327219474406491283098900394936630585969380427502733083222085950656334955607364380069692248141648826774044508239719483241968168186035220027615180704067159517759666711 (192 digits)
  6. Tue Feb 12 07:57:52 2019 searching for 15-digit factors
  7. Tue Feb 12 07:57:53 2019 commencing number field sieve (192-digit input)
  8. Tue Feb 12 07:57:53 2019 R0: 8505622499821102144576131684114829934592
  9. Tue Feb 12 07:57:53 2019 R1: -340039485861577398992406882305761986971
  10. Tue Feb 12 07:57:53 2019 A0: 1
  11. Tue Feb 12 07:57:53 2019 A1: 1
  12. Tue Feb 12 07:57:53 2019 A2: 1
  13. Tue Feb 12 07:57:53 2019 A3: 1
  14. Tue Feb 12 07:57:53 2019 A4: 1
  15. Tue Feb 12 07:57:53 2019 A5: 1
  16. Tue Feb 12 07:57:53 2019 A6: 1
  17. Tue Feb 12 07:57:53 2019 skew 1.00, size 7.574e-12, alpha 2.428, combined = 5.208e-13 rroots = 0
  18. Tue Feb 12 07:57:53 2019
  19. Tue Feb 12 07:57:53 2019 commencing relation filtering
  20. Tue Feb 12 07:57:53 2019 setting target matrix density to 120.0
  21. Tue Feb 12 07:57:53 2019 estimated available RAM is 32768.0 MB
  22. Tue Feb 12 07:57:53 2019 commencing duplicate removal, pass 1
  23. Tue Feb 12 08:12:13 2019 error -15 reading relation 145656213
  24. Tue Feb 12 08:15:17 2019 error -15 reading relation 176879519
  25. Tue Feb 12 08:15:30 2019 error -15 reading relation 179027569
  26. Tue Feb 12 08:15:41 2019 error -11 reading relation 180997418
  27. Tue Feb 12 08:15:52 2019 error -15 reading relation 182839712
  28. Tue Feb 12 08:17:08 2019 error -15 reading relation 195651240
  29. Tue Feb 12 08:17:08 2019 error -11 reading relation 195653958
  30. Tue Feb 12 08:17:19 2019 skipped 52 relations with b > 2^32
  31. Tue Feb 12 08:17:19 2019 skipped 2 relations with composite factors
  32. Tue Feb 12 08:17:19 2019 found 8560114 hash collisions in 197507328 relations
  33. Tue Feb 12 08:17:25 2019 added 2438534 free relations
  34. Tue Feb 12 08:17:25 2019 commencing duplicate removal, pass 2
  35. Tue Feb 12 08:18:09 2019 found 0 duplicates and 199945862 unique relations
  36. Tue Feb 12 08:18:09 2019 memory use: 522.4 MB
  37. Tue Feb 12 08:18:09 2019 reading ideals above 129957888
  38. Tue Feb 12 08:18:09 2019 commencing singleton removal, initial pass
  39. Tue Feb 12 08:32:36 2019 memory use: 3012.0 MB
  40. Tue Feb 12 08:32:36 2019 reading all ideals from disk
  41. Tue Feb 12 08:32:38 2019 memory use: 3430.0 MB
  42. Tue Feb 12 08:32:45 2019 commencing in-memory singleton removal
  43. Tue Feb 12 08:32:51 2019 begin with 199945862 relations and 160898127 unique ideals
  44. Tue Feb 12 08:34:07 2019 reduce to 133498178 relations and 87881268 ideals in 13 passes
  45. Tue Feb 12 08:34:07 2019 max relations containing the same ideal: 45
  46. Tue Feb 12 08:34:17 2019 reading ideals above 720000
  47. Tue Feb 12 08:34:17 2019 commencing singleton removal, initial pass
  48. Tue Feb 12 08:47:17 2019 memory use: 2756.0 MB
  49. Tue Feb 12 08:47:18 2019 reading all ideals from disk
  50. Tue Feb 12 08:47:21 2019 memory use: 5185.4 MB
  51. Tue Feb 12 08:47:32 2019 keeping 101959373 ideals with weight <= 200, target excess is 671844
  52. Tue Feb 12 08:47:44 2019 commencing in-memory singleton removal
  53. Tue Feb 12 08:47:53 2019 begin with 133498178 relations and 101959373 unique ideals
  54. Tue Feb 12 08:48:31 2019 reduce to 133498115 relations and 101959310 ideals in 4 passes
  55. Tue Feb 12 08:48:31 2019 max relations containing the same ideal: 200
  56. Tue Feb 12 08:49:19 2019 removing 10189561 relations and 8189561 ideals in 2000000 cliques
  57. Tue Feb 12 08:49:23 2019 commencing in-memory singleton removal
  58. Tue Feb 12 08:49:31 2019 begin with 123308554 relations and 101959310 unique ideals
  59. Tue Feb 12 08:50:42 2019 reduce to 122736597 relations and 93187052 ideals in 8 passes
  60. Tue Feb 12 08:50:42 2019 max relations containing the same ideal: 196
  61. Tue Feb 12 08:51:27 2019 removing 7744193 relations and 5744193 ideals in 2000000 cliques
  62. Tue Feb 12 08:51:29 2019 commencing in-memory singleton removal
  63. Tue Feb 12 08:51:37 2019 begin with 114992404 relations and 93187052 unique ideals
  64. Tue Feb 12 08:52:35 2019 reduce to 114612346 relations and 87056593 ideals in 7 passes
  65. Tue Feb 12 08:52:35 2019 max relations containing the same ideal: 189
  66. Tue Feb 12 08:53:17 2019 removing 7035668 relations and 5035668 ideals in 2000000 cliques
  67. Tue Feb 12 08:53:20 2019 commencing in-memory singleton removal
  68. Tue Feb 12 08:53:27 2019 begin with 107576678 relations and 87056593 unique ideals
  69. Tue Feb 12 08:54:21 2019 reduce to 107242864 relations and 81681586 ideals in 7 passes
  70. Tue Feb 12 08:54:21 2019 max relations containing the same ideal: 184
  71. Tue Feb 12 08:55:00 2019 removing 6669171 relations and 4669171 ideals in 2000000 cliques
  72. Tue Feb 12 08:55:02 2019 commencing in-memory singleton removal
  73. Tue Feb 12 08:55:09 2019 begin with 100573693 relations and 81681586 unique ideals
  74. Tue Feb 12 08:55:52 2019 reduce to 100264194 relations and 76697680 ideals in 6 passes
  75. Tue Feb 12 08:55:52 2019 max relations containing the same ideal: 176
  76. Tue Feb 12 08:56:29 2019 removing 6436645 relations and 4436645 ideals in 2000000 cliques
  77. Tue Feb 12 08:56:31 2019 commencing in-memory singleton removal
  78. Tue Feb 12 08:56:37 2019 begin with 93827549 relations and 76697680 unique ideals
  79. Tue Feb 12 08:57:24 2019 reduce to 93529364 relations and 71957403 ideals in 7 passes
  80. Tue Feb 12 08:57:24 2019 max relations containing the same ideal: 170
  81. Tue Feb 12 08:57:58 2019 removing 6276565 relations and 4276565 ideals in 2000000 cliques
  82. Tue Feb 12 08:58:00 2019 commencing in-memory singleton removal
  83. Tue Feb 12 08:58:06 2019 begin with 87252799 relations and 71957403 unique ideals
  84. Tue Feb 12 08:58:43 2019 reduce to 86954824 relations and 67377021 ideals in 6 passes
  85. Tue Feb 12 08:58:43 2019 max relations containing the same ideal: 162
  86. Tue Feb 12 08:59:15 2019 removing 6162264 relations and 4162264 ideals in 2000000 cliques
  87. Tue Feb 12 08:59:17 2019 commencing in-memory singleton removal
  88. Tue Feb 12 08:59:23 2019 begin with 80792560 relations and 67377021 unique ideals
  89. Tue Feb 12 09:00:03 2019 reduce to 80491664 relations and 62907671 ideals in 7 passes
  90. Tue Feb 12 09:00:03 2019 max relations containing the same ideal: 151
  91. Tue Feb 12 09:00:33 2019 removing 6079313 relations and 4079313 ideals in 2000000 cliques
  92. Tue Feb 12 09:00:35 2019 commencing in-memory singleton removal
  93. Tue Feb 12 09:00:39 2019 begin with 74412351 relations and 62907671 unique ideals
  94. Tue Feb 12 09:01:16 2019 reduce to 74102330 relations and 58511575 ideals in 7 passes
  95. Tue Feb 12 09:01:16 2019 max relations containing the same ideal: 144
  96. Tue Feb 12 09:01:44 2019 removing 6023179 relations and 4023179 ideals in 2000000 cliques
  97. Tue Feb 12 09:01:46 2019 commencing in-memory singleton removal
  98. Tue Feb 12 09:01:50 2019 begin with 68079151 relations and 58511575 unique ideals
  99. Tue Feb 12 09:02:18 2019 reduce to 67754010 relations and 54155432 ideals in 6 passes
  100. Tue Feb 12 09:02:18 2019 max relations containing the same ideal: 138
  101. Tue Feb 12 09:02:44 2019 removing 5985268 relations and 3985268 ideals in 2000000 cliques
  102. Tue Feb 12 09:02:46 2019 commencing in-memory singleton removal
  103. Tue Feb 12 09:02:50 2019 begin with 61768742 relations and 54155432 unique ideals
  104. Tue Feb 12 09:03:20 2019 reduce to 61422884 relations and 49815188 ideals in 7 passes
  105. Tue Feb 12 09:03:20 2019 max relations containing the same ideal: 132
  106. Tue Feb 12 09:03:43 2019 removing 5963667 relations and 3963667 ideals in 2000000 cliques
  107. Tue Feb 12 09:03:45 2019 commencing in-memory singleton removal
  108. Tue Feb 12 09:03:49 2019 begin with 55459217 relations and 49815188 unique ideals
  109. Tue Feb 12 09:04:15 2019 reduce to 55084623 relations and 45466311 ideals in 7 passes
  110. Tue Feb 12 09:04:15 2019 max relations containing the same ideal: 116
  111. Tue Feb 12 09:04:36 2019 removing 5954353 relations and 3954353 ideals in 2000000 cliques
  112. Tue Feb 12 09:04:38 2019 commencing in-memory singleton removal
  113. Tue Feb 12 09:04:41 2019 begin with 49130270 relations and 45466311 unique ideals
  114. Tue Feb 12 09:05:01 2019 reduce to 48720142 relations and 41088953 ideals in 6 passes
  115. Tue Feb 12 09:05:01 2019 max relations containing the same ideal: 109
  116. Tue Feb 12 09:05:19 2019 removing 5958169 relations and 3958169 ideals in 2000000 cliques
  117. Tue Feb 12 09:05:21 2019 commencing in-memory singleton removal
  118. Tue Feb 12 09:05:24 2019 begin with 42761973 relations and 41088953 unique ideals
  119. Tue Feb 12 09:05:46 2019 reduce to 42304005 relations and 36656684 ideals in 8 passes
  120. Tue Feb 12 09:05:46 2019 max relations containing the same ideal: 99
  121. Tue Feb 12 09:06:03 2019 removing 5966824 relations and 3966825 ideals in 2000000 cliques
  122. Tue Feb 12 09:06:05 2019 commencing in-memory singleton removal
  123. Tue Feb 12 09:06:07 2019 begin with 36337181 relations and 36656684 unique ideals
  124. Tue Feb 12 09:06:24 2019 reduce to 35816333 relations and 32147601 ideals in 7 passes
  125. Tue Feb 12 09:06:24 2019 max relations containing the same ideal: 87
  126. Tue Feb 12 09:06:37 2019 removing 5975549 relations and 3975549 ideals in 2000000 cliques
  127. Tue Feb 12 09:06:39 2019 commencing in-memory singleton removal
  128. Tue Feb 12 09:06:41 2019 begin with 29840784 relations and 32147601 unique ideals
  129. Tue Feb 12 09:06:56 2019 reduce to 29226015 relations and 27528380 ideals in 8 passes
  130. Tue Feb 12 09:06:56 2019 max relations containing the same ideal: 76
  131. Tue Feb 12 09:07:08 2019 removing 3165125 relations and 2246830 ideals in 918295 cliques
  132. Tue Feb 12 09:07:09 2019 commencing in-memory singleton removal
  133. Tue Feb 12 09:07:10 2019 begin with 26060890 relations and 27528380 unique ideals
  134. Tue Feb 12 09:07:22 2019 reduce to 25824996 relations and 25039132 ideals in 7 passes
  135. Tue Feb 12 09:07:22 2019 max relations containing the same ideal: 70
  136. Tue Feb 12 09:07:35 2019 relations with 0 large ideals: 46204
  137. Tue Feb 12 09:07:35 2019 relations with 1 large ideals: 11663
  138. Tue Feb 12 09:07:35 2019 relations with 2 large ideals: 148422
  139. Tue Feb 12 09:07:35 2019 relations with 3 large ideals: 909191
  140. Tue Feb 12 09:07:35 2019 relations with 4 large ideals: 2965941
  141. Tue Feb 12 09:07:35 2019 relations with 5 large ideals: 5697348
  142. Tue Feb 12 09:07:35 2019 relations with 6 large ideals: 6777715
  143. Tue Feb 12 09:07:35 2019 relations with 7+ large ideals: 9268512
  144. Tue Feb 12 09:07:35 2019 commencing 2-way merge
  145. Tue Feb 12 09:07:48 2019 reduce to 17423494 relation sets and 16637630 unique ideals
  146. Tue Feb 12 09:07:48 2019 commencing full merge
  147. Tue Feb 12 09:14:38 2019 memory use: 2343.6 MB
  148. Tue Feb 12 09:14:41 2019 found 7866796 cycles, need 7843830
  149. Tue Feb 12 09:14:42 2019 weight of 7843830 cycles is about 941595410 (120.04/cycle)
  150. Tue Feb 12 09:14:42 2019 distribution of cycle lengths:
  151. Tue Feb 12 09:14:42 2019 1 relations: 293192
  152. Tue Feb 12 09:14:42 2019 2 relations: 399809
  153. Tue Feb 12 09:14:42 2019 3 relations: 484527
  154. Tue Feb 12 09:14:42 2019 4 relations: 522949
  155. Tue Feb 12 09:14:42 2019 5 relations: 549675
  156. Tue Feb 12 09:14:42 2019 6 relations: 559288
  157. Tue Feb 12 09:14:42 2019 7 relations: 556973
  158. Tue Feb 12 09:14:42 2019 8 relations: 541864
  159. Tue Feb 12 09:14:42 2019 9 relations: 516412
  160. Tue Feb 12 09:14:42 2019 10+ relations: 3419141
  161. Tue Feb 12 09:14:42 2019 heaviest cycle: 28 relations
  162. Tue Feb 12 09:14:45 2019 commencing cycle optimization
  163. Tue Feb 12 09:15:03 2019 start with 73789942 relations
  164. Tue Feb 12 09:18:19 2019 pruned 4012564 relations
  165. Tue Feb 12 09:18:19 2019 memory use: 1830.5 MB
  166. Tue Feb 12 09:18:20 2019 distribution of cycle lengths:
  167. Tue Feb 12 09:18:20 2019 1 relations: 293192
  168. Tue Feb 12 09:18:20 2019 2 relations: 409169
  169. Tue Feb 12 09:18:20 2019 3 relations: 504654
  170. Tue Feb 12 09:18:20 2019 4 relations: 546081
  171. Tue Feb 12 09:18:20 2019 5 relations: 581705
  172. Tue Feb 12 09:18:20 2019 6 relations: 592893
  173. Tue Feb 12 09:18:20 2019 7 relations: 594100
  174. Tue Feb 12 09:18:20 2019 8 relations: 576935
  175. Tue Feb 12 09:18:20 2019 9 relations: 549753
  176. Tue Feb 12 09:18:20 2019 10+ relations: 3195348
  177. Tue Feb 12 09:18:20 2019 heaviest cycle: 28 relations
  178. Tue Feb 12 09:18:37 2019 RelProcTime: 4844
  179. Tue Feb 12 09:18:37 2019
  180. Tue Feb 12 09:18:37 2019 commencing linear algebra
  181. Tue Feb 12 09:18:38 2019 read 7843830 cycles
  182. Tue Feb 12 09:18:56 2019 cycles contain 25422048 unique relations
  183. Tue Feb 12 09:20:43 2019 read 25422048 relations
  184. Tue Feb 12 09:21:34 2019 using 20 quadratic characters above 4294917295
  185. Tue Feb 12 09:23:03 2019 building initial matrix
  186. Tue Feb 12 09:27:14 2019 memory use: 3155.3 MB
  187. Tue Feb 12 09:27:20 2019 read 7843830 cycles
  188. Tue Feb 12 09:27:21 2019 matrix is 7843653 x 7843830 (3658.4 MB) with weight 1040523771 (132.66/col)
  189. Tue Feb 12 09:27:21 2019 sparse part has weight 872740700 (111.26/col)
  190. Tue Feb 12 09:28:41 2019 filtering completed in 2 passes
  191. Tue Feb 12 09:28:42 2019 matrix is 7843581 x 7843758 (3658.4 MB) with weight 1040521374 (132.66/col)
  192. Tue Feb 12 09:28:42 2019 sparse part has weight 872739815 (111.27/col)
  193. Tue Feb 12 09:29:08 2019 matrix starts at (0, 0)
  194. Tue Feb 12 09:29:09 2019 matrix is 7843581 x 7843758 (3658.4 MB) with weight 1040521374 (132.66/col)
  195. Tue Feb 12 09:29:09 2019 sparse part has weight 872739815 (111.27/col)
  196. Tue Feb 12 09:29:09 2019 saving the first 48 matrix rows for later
  197. Tue Feb 12 09:29:10 2019 matrix includes 64 packed rows
  198. Tue Feb 12 09:29:11 2019 matrix is 7843533 x 7843758 (3502.5 MB) with weight 898087950 (114.50/col)
  199. Tue Feb 12 09:29:11 2019 sparse part has weight 839710028 (107.05/col)
  200. Tue Feb 12 09:29:11 2019 using block size 8192 and superblock size 1081344 for processor cache size 11264 kB
  201. Tue Feb 12 09:29:46 2019 commencing Lanczos iteration (8 threads)
  202. Tue Feb 12 09:29:46 2019 memory use: 2981.5 MB
  203. Tue Feb 12 09:30:01 2019 linear algebra at 0.0%, ETA 20h 3m
  204. Tue Feb 12 09:30:06 2019 checkpointing every 390000 dimensions
  205. Wed Feb 13 05:48:17 2019 lanczos halted after 124036 iterations (dim = 7843528)
  206. Wed Feb 13 05:48:26 2019 recovered 34 nontrivial dependencies
  207. Wed Feb 13 05:48:28 2019 BLanczosTime: 73791
  208. Wed Feb 13 05:48:28 2019
  209. Wed Feb 13 05:48:28 2019 commencing square root phase
  210. Wed Feb 13 05:48:28 2019 handling dependencies 1 to 64
  211. Wed Feb 13 05:48:28 2019 reading relations for dependency 1
  212. Wed Feb 13 05:48:29 2019 read 3922017 cycles
  213. Wed Feb 13 05:48:37 2019 cycles contain 12710368 unique relations
  214. Wed Feb 13 05:49:36 2019 read 12710368 relations
  215. Wed Feb 13 05:50:23 2019 multiplying 12710368 relations
  216. Wed Feb 13 05:56:24 2019 multiply complete, coefficients have about 315.88 million bits
  217. Wed Feb 13 05:56:25 2019 initial square root is modulo 465587
  218. Wed Feb 13 06:02:33 2019 GCD is 1, no factor found
  219. Wed Feb 13 06:02:33 2019 reading relations for dependency 2
  220. Wed Feb 13 06:02:34 2019 read 3921796 cycles
  221. Wed Feb 13 06:02:42 2019 cycles contain 12714772 unique relations
  222. Wed Feb 13 06:03:40 2019 read 12714772 relations
  223. Wed Feb 13 06:04:28 2019 multiplying 12714772 relations
  224. Wed Feb 13 06:10:29 2019 multiply complete, coefficients have about 315.99 million bits
  225. Wed Feb 13 06:10:30 2019 initial square root is modulo 467729
  226. Wed Feb 13 06:16:35 2019 GCD is 1, no factor found
  227. Wed Feb 13 06:16:35 2019 reading relations for dependency 3
  228. Wed Feb 13 06:16:36 2019 read 3920922 cycles
  229. Wed Feb 13 06:16:44 2019 cycles contain 12706272 unique relations
  230. Wed Feb 13 06:17:43 2019 read 12706272 relations
  231. Wed Feb 13 06:18:31 2019 multiplying 12706272 relations
  232. Wed Feb 13 06:24:31 2019 multiply complete, coefficients have about 315.78 million bits
  233. Wed Feb 13 06:24:32 2019 initial square root is modulo 463613
  234. Wed Feb 13 06:30:39 2019 sqrtTime: 2531
  235. Wed Feb 13 06:30:39 2019 p59 factor: 26929589056215500688535599864153364113219432945485725565101
  236. Wed Feb 13 06:30:39 2019 p133 factor: 4650539455138140163752125460078859172767844205953655692795027015035759354477050784888949555985731629688044734232904138835114050390611
  237. Wed Feb 13 06:30:39 2019 elapsed time 22:32:48
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