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Jul 2nd, 2018
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  1. Tue Jun 19 17:23:55 2018 Msieve v. 1.53 (SVN unknown)
  2. Tue Jun 19 17:23:55 2018 random seeds: b2df2867 dde8637e
  3. Tue Jun 19 17:23:55 2018 factoring 7660425224220300452199603398023936346867288264325673149795445858458901847791380656190099032230634537623632227009717779117423326630967327029820874262141541098328786358195090634031674238764883609498586617994897943096847 (217 digits)
  4. Tue Jun 19 17:23:56 2018 searching for 15-digit factors
  5. Tue Jun 19 17:23:57 2018 commencing number field sieve (217-digit input)
  6. Tue Jun 19 17:23:57 2018 R0: 1639749850771434978413554768710418997357
  7. Tue Jun 19 17:23:57 2018 R1: -1
  8. Tue Jun 19 17:23:57 2018 A0: -69655517
  9. Tue Jun 19 17:23:57 2018 A1: 0
  10. Tue Jun 19 17:23:57 2018 A2: 0
  11. Tue Jun 19 17:23:57 2018 A3: 0
  12. Tue Jun 19 17:23:57 2018 A4: 0
  13. Tue Jun 19 17:23:57 2018 A5: 0
  14. Tue Jun 19 17:23:57 2018 A6: 1
  15. Tue Jun 19 17:23:57 2018 skew 20.28, size 1.861e-12, alpha 1.896, combined = 1.966e-13 rroots = 2
  16. Tue Jun 19 17:23:57 2018
  17. Tue Jun 19 17:23:57 2018 commencing relation filtering
  18. Tue Jun 19 17:23:57 2018 setting target matrix density to 104.0
  19. Tue Jun 19 17:23:57 2018 estimated available RAM is 16007.4 MB
  20. Tue Jun 19 17:23:57 2018 commencing duplicate removal, pass 1
  21. Tue Jun 19 17:28:19 2018 error -15 reading relation 38605670
  22. Tue Jun 19 17:33:13 2018 error -11 reading relation 81875591
  23. Tue Jun 19 17:37:14 2018 error -15 reading relation 117268988
  24. Tue Jun 19 17:41:00 2018 error -15 reading relation 150189102
  25. Tue Jun 19 17:42:29 2018 error -1 reading relation 163179156
  26. Tue Jun 19 17:43:17 2018 error -15 reading relation 170283366
  27. Tue Jun 19 17:43:47 2018 skipped 1 relations with b > 2^32
  28. Tue Jun 19 17:43:47 2018 skipped 3 relations with composite factors
  29. Tue Jun 19 17:43:47 2018 found 6661583 hash collisions in 173670317 relations
  30. Tue Jun 19 17:43:58 2018 commencing duplicate removal, pass 2
  31. Tue Jun 19 17:44:47 2018 found 0 duplicates and 173670317 unique relations
  32. Tue Jun 19 17:44:47 2018 memory use: 506.4 MB
  33. Tue Jun 19 17:44:47 2018 reading ideals above 125108224
  34. Tue Jun 19 17:44:47 2018 commencing singleton removal, initial pass
  35. Tue Jun 19 17:59:37 2018 memory use: 3012.0 MB
  36. Tue Jun 19 17:59:37 2018 reading all ideals from disk
  37. Tue Jun 19 17:59:43 2018 memory use: 3493.0 MB
  38. Tue Jun 19 17:59:50 2018 commencing in-memory singleton removal
  39. Tue Jun 19 17:59:56 2018 begin with 173670317 relations and 161017410 unique ideals
  40. Tue Jun 19 18:01:40 2018 reduce to 101071814 relations and 80035300 ideals in 22 passes
  41. Tue Jun 19 18:01:40 2018 max relations containing the same ideal: 35
  42. Tue Jun 19 18:01:45 2018 reading ideals above 720000
  43. Tue Jun 19 18:01:45 2018 commencing singleton removal, initial pass
  44. Tue Jun 19 18:12:42 2018 memory use: 2756.0 MB
  45. Tue Jun 19 18:12:42 2018 reading all ideals from disk
  46. Tue Jun 19 18:12:50 2018 memory use: 4051.0 MB
  47. Tue Jun 19 18:13:00 2018 keeping 93764130 ideals with weight <= 200, target excess is 508727
  48. Tue Jun 19 18:13:10 2018 commencing in-memory singleton removal
  49. Tue Jun 19 18:13:18 2018 begin with 101071814 relations and 93764130 unique ideals
  50. Tue Jun 19 18:14:09 2018 reduce to 101071161 relations and 93763477 ideals in 6 passes
  51. Tue Jun 19 18:14:09 2018 max relations containing the same ideal: 200
  52. Tue Jun 19 18:14:52 2018 removing 8201203 relations and 7201203 ideals in 1000000 cliques
  53. Tue Jun 19 18:14:55 2018 commencing in-memory singleton removal
  54. Tue Jun 19 18:15:02 2018 begin with 92869958 relations and 93763477 unique ideals
  55. Tue Jun 19 18:16:21 2018 reduce to 92294341 relations and 85978227 ideals in 10 passes
  56. Tue Jun 19 18:16:21 2018 max relations containing the same ideal: 196
  57. Tue Jun 19 18:17:01 2018 removing 6120501 relations and 5120501 ideals in 1000000 cliques
  58. Tue Jun 19 18:17:03 2018 commencing in-memory singleton removal
  59. Tue Jun 19 18:17:10 2018 begin with 86173840 relations and 85978227 unique ideals
  60. Tue Jun 19 18:18:16 2018 reduce to 85818575 relations and 80498072 ideals in 9 passes
  61. Tue Jun 19 18:18:16 2018 max relations containing the same ideal: 190
  62. Tue Jun 19 18:18:53 2018 removing 5464458 relations and 4464458 ideals in 1000000 cliques
  63. Tue Jun 19 18:18:55 2018 commencing in-memory singleton removal
  64. Tue Jun 19 18:19:01 2018 begin with 80354117 relations and 80498072 unique ideals
  65. Tue Jun 19 18:19:55 2018 reduce to 80052509 relations and 75728462 ideals in 8 passes
  66. Tue Jun 19 18:19:55 2018 max relations containing the same ideal: 183
  67. Tue Jun 19 18:20:30 2018 removing 5114982 relations and 4114982 ideals in 1000000 cliques
  68. Tue Jun 19 18:20:32 2018 commencing in-memory singleton removal
  69. Tue Jun 19 18:20:38 2018 begin with 74937527 relations and 75728462 unique ideals
  70. Tue Jun 19 18:21:28 2018 reduce to 74657294 relations and 71329823 ideals in 8 passes
  71. Tue Jun 19 18:21:28 2018 max relations containing the same ideal: 175
  72. Tue Jun 19 18:22:00 2018 removing 4891812 relations and 3891812 ideals in 1000000 cliques
  73. Tue Jun 19 18:22:02 2018 commencing in-memory singleton removal
  74. Tue Jun 19 18:22:08 2018 begin with 69765482 relations and 71329823 unique ideals
  75. Tue Jun 19 18:22:54 2018 reduce to 69492183 relations and 67161256 ideals in 8 passes
  76. Tue Jun 19 18:22:54 2018 max relations containing the same ideal: 170
  77. Tue Jun 19 18:23:24 2018 removing 4741674 relations and 3741674 ideals in 1000000 cliques
  78. Tue Jun 19 18:23:26 2018 commencing in-memory singleton removal
  79. Tue Jun 19 18:23:31 2018 begin with 64750509 relations and 67161256 unique ideals
  80. Tue Jun 19 18:24:14 2018 reduce to 64477381 relations and 63142804 ideals in 8 passes
  81. Tue Jun 19 18:24:14 2018 max relations containing the same ideal: 157
  82. Tue Jun 19 18:24:43 2018 removing 3644255 relations and 2899802 ideals in 744453 cliques
  83. Tue Jun 19 18:24:44 2018 commencing in-memory singleton removal
  84. Tue Jun 19 18:24:49 2018 begin with 60833126 relations and 63142804 unique ideals
  85. Tue Jun 19 18:25:24 2018 reduce to 60663790 relations and 60071828 ideals in 7 passes
  86. Tue Jun 19 18:25:24 2018 max relations containing the same ideal: 152
  87. Tue Jun 19 18:26:00 2018 relations with 0 large ideals: 19064
  88. Tue Jun 19 18:26:00 2018 relations with 1 large ideals: 4055
  89. Tue Jun 19 18:26:00 2018 relations with 2 large ideals: 46587
  90. Tue Jun 19 18:26:00 2018 relations with 3 large ideals: 424234
  91. Tue Jun 19 18:26:00 2018 relations with 4 large ideals: 2163052
  92. Tue Jun 19 18:26:00 2018 relations with 5 large ideals: 6727845
  93. Tue Jun 19 18:26:00 2018 relations with 6 large ideals: 13201163
  94. Tue Jun 19 18:26:00 2018 relations with 7+ large ideals: 38077790
  95. Tue Jun 19 18:26:00 2018 commencing 2-way merge
  96. Tue Jun 19 18:26:37 2018 reduce to 39724432 relation sets and 39132470 unique ideals
  97. Tue Jun 19 18:26:37 2018 commencing full merge
  98. Tue Jun 19 18:40:20 2018 memory use: 4939.6 MB
  99. Tue Jun 19 18:40:24 2018 found 18327588 cycles, need 18324670
  100. Tue Jun 19 18:40:28 2018 weight of 18324670 cycles is about 1905902961 (104.01/cycle)
  101. Tue Jun 19 18:40:28 2018 distribution of cycle lengths:
  102. Tue Jun 19 18:40:28 2018 1 relations: 1365024
  103. Tue Jun 19 18:40:28 2018 2 relations: 1587272
  104. Tue Jun 19 18:40:28 2018 3 relations: 1658237
  105. Tue Jun 19 18:40:28 2018 4 relations: 1572773
  106. Tue Jun 19 18:40:28 2018 5 relations: 1484442
  107. Tue Jun 19 18:40:28 2018 6 relations: 1350157
  108. Tue Jun 19 18:40:28 2018 7 relations: 1247610
  109. Tue Jun 19 18:40:28 2018 8 relations: 1131054
  110. Tue Jun 19 18:40:28 2018 9 relations: 1017517
  111. Tue Jun 19 18:40:28 2018 10+ relations: 5910584
  112. Tue Jun 19 18:40:28 2018 heaviest cycle: 28 relations
  113. Tue Jun 19 18:40:32 2018 commencing cycle optimization
  114. Tue Jun 19 18:41:01 2018 start with 143095102 relations
  115. Tue Jun 19 18:45:44 2018 pruned 5308046 relations
  116. Tue Jun 19 18:45:44 2018 memory use: 3990.3 MB
  117. Tue Jun 19 18:45:44 2018 distribution of cycle lengths:
  118. Tue Jun 19 18:45:44 2018 1 relations: 1365024
  119. Tue Jun 19 18:45:44 2018 2 relations: 1626071
  120. Tue Jun 19 18:45:44 2018 3 relations: 1727155
  121. Tue Jun 19 18:45:44 2018 4 relations: 1628772
  122. Tue Jun 19 18:45:44 2018 5 relations: 1542092
  123. Tue Jun 19 18:45:44 2018 6 relations: 1394134
  124. Tue Jun 19 18:45:44 2018 7 relations: 1286016
  125. Tue Jun 19 18:45:44 2018 8 relations: 1156754
  126. Tue Jun 19 18:45:44 2018 9 relations: 1035007
  127. Tue Jun 19 18:45:44 2018 10+ relations: 5563645
  128. Tue Jun 19 18:45:44 2018 heaviest cycle: 28 relations
  129. Tue Jun 19 18:46:19 2018 RelProcTime: 4942
  130. Tue Jun 19 18:46:19 2018
  131. Tue Jun 19 18:46:19 2018 commencing linear algebra
  132. Tue Jun 19 18:46:21 2018 read 18324670 cycles
  133. Tue Jun 19 18:46:50 2018 cycles contain 60232539 unique relations
  134. Tue Jun 19 18:51:21 2018 read 60232539 relations
  135. Tue Jun 19 18:52:53 2018 using 20 quadratic characters above 4294917295
  136. Tue Jun 19 18:56:44 2018 building initial matrix
  137. Tue Jun 19 19:05:42 2018 memory use: 7335.7 MB
  138. Tue Jun 19 19:05:49 2018 read 18324670 cycles
  139. Tue Jun 19 19:05:51 2018 matrix is 18324493 x 18324670 (7573.7 MB) with weight 2152968855 (117.49/col)
  140. Tue Jun 19 19:05:51 2018 sparse part has weight 1802163481 (98.35/col)
  141. Tue Jun 19 19:09:21 2018 filtering completed in 2 passes
  142. Tue Jun 19 19:09:23 2018 matrix is 18324285 x 18324462 (7573.7 MB) with weight 2152963039 (117.49/col)
  143. Tue Jun 19 19:09:23 2018 sparse part has weight 1802161842 (98.35/col)
  144. Tue Jun 19 19:10:21 2018 matrix starts at (0, 0)
  145. Tue Jun 19 19:10:23 2018 matrix is 18324285 x 18324462 (7573.7 MB) with weight 2152963039 (117.49/col)
  146. Tue Jun 19 19:10:23 2018 sparse part has weight 1802161842 (98.35/col)
  147. Tue Jun 19 19:10:23 2018 saving the first 48 matrix rows for later
  148. Tue Jun 19 19:10:25 2018 matrix includes 64 packed rows
  149. Tue Jun 19 19:10:27 2018 matrix is 18324237 x 18324462 (7278.4 MB) with weight 1824552634 (99.57/col)
  150. Tue Jun 19 19:10:27 2018 sparse part has weight 1724748165 (94.12/col)
  151. Tue Jun 19 19:10:28 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  152. Tue Jun 19 19:11:45 2018 commencing Lanczos iteration (4 threads)
  153. Tue Jun 19 19:11:45 2018 memory use: 6249.8 MB
  154. Tue Jun 19 19:13:24 2018 linear algebra at 0.0%, ETA 319h 9m
  155. Tue Jun 19 19:13:55 2018 checkpointing every 60000 dimensions
  156. Wed Jun 27 21:44:34 2018 lanczos halted after 191495 iterations (dim = 12109527)
  157. Wed Jun 27 21:44:34 2018 BLanczosTime: 701895
  158. Wed Jun 27 21:44:34 2018
  159. Wed Jun 27 21:44:34 2018 commencing square root phase
  160. Wed Jun 27 21:44:34 2018 handling dependencies 1 to 64
  161. Wed Jun 27 21:44:34 2018 reading relations for dependency 1
  162. Wed Jun 27 21:44:34 2018 error: read_cycles can't open dependency file
  163. Thu Jun 28 18:02:36 2018
  164. Thu Jun 28 18:02:36 2018
  165. Thu Jun 28 18:02:36 2018 Msieve v. 1.53 (SVN unknown)
  166. Thu Jun 28 18:02:36 2018 random seeds: e32f8528 66d9f0f8
  167. Thu Jun 28 18:02:36 2018 factoring 7660425224220300452199603398023936346867288264325673149795445858458901847791380656190099032230634537623632227009717779117423326630967327029820874262141541098328786358195090634031674238764883609498586617994897943096847 (217 digits)
  168. Thu Jun 28 18:02:37 2018 searching for 15-digit factors
  169. Thu Jun 28 18:02:38 2018 commencing number field sieve (217-digit input)
  170. Thu Jun 28 18:02:38 2018 R0: 1639749850771434978413554768710418997357
  171. Thu Jun 28 18:02:38 2018 R1: -1
  172. Thu Jun 28 18:02:38 2018 A0: -69655517
  173. Thu Jun 28 18:02:38 2018 A1: 0
  174. Thu Jun 28 18:02:38 2018 A2: 0
  175. Thu Jun 28 18:02:38 2018 A3: 0
  176. Thu Jun 28 18:02:38 2018 A4: 0
  177. Thu Jun 28 18:02:38 2018 A5: 0
  178. Thu Jun 28 18:02:38 2018 A6: 1
  179. Thu Jun 28 18:02:38 2018 skew 20.28, size 1.861e-12, alpha 1.896, combined = 1.966e-13 rroots = 2
  180. Thu Jun 28 18:02:38 2018
  181. Thu Jun 28 18:02:38 2018 commencing linear algebra
  182. Thu Jun 28 18:02:38 2018 skipping matrix build
  183. Thu Jun 28 18:02:57 2018 matrix starts at (0, 0)
  184. Thu Jun 28 18:02:59 2018 matrix is 18324285 x 18324462 (7573.7 MB) with weight 2152963039 (117.49/col)
  185. Thu Jun 28 18:02:59 2018 sparse part has weight 1802161842 (98.35/col)
  186. Thu Jun 28 18:02:59 2018 saving the first 48 matrix rows for later
  187. Thu Jun 28 18:03:01 2018 matrix includes 64 packed rows
  188. Thu Jun 28 18:03:03 2018 matrix is 18324237 x 18324462 (7278.4 MB) with weight 1824552634 (99.57/col)
  189. Thu Jun 28 18:03:03 2018 sparse part has weight 1724748165 (94.12/col)
  190. Thu Jun 28 18:03:04 2018 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  191. Thu Jun 28 18:04:21 2018 commencing Lanczos iteration (4 threads)
  192. Thu Jun 28 18:04:21 2018 memory use: 6249.8 MB
  193. Thu Jun 28 18:04:23 2018 restarting at iteration 191495 (dim = 12109527)
  194. Thu Jun 28 18:04:52 2018 checkpointing every 70000 dimensions
  195. Thu Jun 28 18:05:49 2018 linear algebra at 66.1%, ETA 98h10m
  196. Mon Jul 2 13:55:58 2018 lanczos halted after 289773 iterations (dim = 18324232)
  197. Mon Jul 2 13:56:16 2018 recovered 34 nontrivial dependencies
  198. Mon Jul 2 13:56:16 2018 BLanczosTime: 330818
  199. Mon Jul 2 13:56:16 2018
  200. Mon Jul 2 13:56:16 2018 commencing square root phase
  201. Mon Jul 2 13:56:16 2018 handling dependencies 1 to 64
  202. Mon Jul 2 13:56:16 2018 reading relations for dependency 1
  203. Mon Jul 2 13:56:18 2018 read 9162367 cycles
  204. Mon Jul 2 13:56:32 2018 cycles contain 30115000 unique relations
  205. Mon Jul 2 13:58:48 2018 read 30115000 relations
  206. Mon Jul 2 14:00:35 2018 multiplying 30115000 relations
  207. Mon Jul 2 14:23:37 2018 multiply complete, coefficients have about 821.49 million bits
  208. Mon Jul 2 14:23:40 2018 initial square root is modulo 23441941
  209. Mon Jul 2 14:47:42 2018 GCD is N, no factor found
  210. Mon Jul 2 14:47:42 2018 reading relations for dependency 2
  211. Mon Jul 2 14:47:44 2018 read 9162570 cycles
  212. Mon Jul 2 14:47:58 2018 cycles contain 30120774 unique relations
  213. Mon Jul 2 14:50:15 2018 read 30120774 relations
  214. Mon Jul 2 14:52:49 2018 multiplying 30120774 relations
  215. Mon Jul 2 15:23:58 2018 multiply complete, coefficients have about 821.64 million bits
  216. Mon Jul 2 15:24:02 2018 initial square root is modulo 23516881
  217. Mon Jul 2 15:56:29 2018 GCD is 1, no factor found
  218. Mon Jul 2 15:56:29 2018 reading relations for dependency 3
  219. Mon Jul 2 15:56:32 2018 read 9161060 cycles
  220. Mon Jul 2 15:56:50 2018 cycles contain 30109458 unique relations
  221. Mon Jul 2 15:59:49 2018 read 30109458 relations
  222. Mon Jul 2 16:02:19 2018 multiplying 30109458 relations
  223. Mon Jul 2 16:33:20 2018 multiply complete, coefficients have about 821.34 million bits
  224. Mon Jul 2 16:33:24 2018 initial square root is modulo 23370961
  225. Mon Jul 2 17:05:53 2018 GCD is N, no factor found
  226. Mon Jul 2 17:05:53 2018 reading relations for dependency 4
  227. Mon Jul 2 17:05:56 2018 read 9156236 cycles
  228. Mon Jul 2 17:06:14 2018 cycles contain 30101940 unique relations
  229. Mon Jul 2 17:09:17 2018 read 30101940 relations
  230. Mon Jul 2 17:11:50 2018 multiplying 30101940 relations
  231. Mon Jul 2 17:42:46 2018 multiply complete, coefficients have about 821.13 million bits
  232. Mon Jul 2 17:42:50 2018 initial square root is modulo 23267941
  233. Mon Jul 2 18:15:22 2018 sqrtTime: 15546
  234. Mon Jul 2 18:15:22 2018 p69 factor: 983079598075220394989830306066757484723749240711207102174842604283743
  235. Mon Jul 2 18:15:22 2018 p148 factor: 7792273625878016189073859547520243895810556503021544279640536553505260688912033556175103034910362446677754935558264971388396461361839859873173858129
  236. Mon Jul 2 18:15:22 2018 elapsed time 96:12:46
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