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C242_137_90

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  1. Sat May 19 07:56:55 2018  Msieve v. 1.53 (SVN unknown)
  2. Sat May 19 07:56:55 2018  random seeds: 7adcf2f3 2876bd79
  3. Sat May 19 07:56:55 2018  factoring 71103093976678893891407527309167771195856981812400200327243554393415927587233027781926566247789011596051936831220879826300141074235047643960421767724231609412833734157558148474335495581277243996195840989804452028509762347743085864886666362651 (242 digits)
  4. Sat May 19 07:56:56 2018  searching for 15-digit factors
  5. Sat May 19 07:56:57 2018  commencing number field sieve (242-digit input)
  6. Sat May 19 07:56:57 2018  R0: 886293811965250109592900000000000000000000000
  7. Sat May 19 07:56:57 2018  R1: -112410921330388974282595778471993
  8. Sat May 19 07:56:57 2018  A0: 90
  9. Sat May 19 07:56:57 2018  A1: 0
  10. Sat May 19 07:56:57 2018  A2: 0
  11. Sat May 19 07:56:57 2018  A3: 0
  12. Sat May 19 07:56:57 2018  A4: 0
  13. Sat May 19 07:56:57 2018  A5: 0
  14. Sat May 19 07:56:57 2018  A6: 1
  15. Sat May 19 07:56:57 2018  skew 2.12, size 4.563e-13, alpha -1.091, combined = 6.247e-14 rroots = 0
  16. Sat May 19 07:56:57 2018  
  17. Sat May 19 07:56:57 2018  commencing relation filtering
  18. Sat May 19 07:56:57 2018  setting target matrix density to 140.0
  19. Sat May 19 07:56:57 2018  estimated available RAM is 16007.4 MB
  20. Sat May 19 07:56:57 2018  commencing duplicate removal, pass 1
  21. Sat May 19 08:11:48 2018  error -1 reading relation 104766338
  22. Sat May 19 08:20:55 2018  error -15 reading relation 168455475
  23. [ . . . deleted 400+ lines of mostly -1 errors . . . ]
  24. Sat May 19 08:42:19 2018  error -15 reading relation 346847889
  25. Sat May 19 08:42:37 2018  error -15 reading relation 349433865
  26. Sat May 19 08:43:18 2018  skipped 233 relations with b > 2^32
  27. Sat May 19 08:43:18 2018  skipped 89 relations with composite factors
  28. Sat May 19 08:43:18 2018  found 26270782 hash collisions in 354253313 relations
  29. Sat May 19 08:43:29 2018  commencing duplicate removal, pass 2
  30. Sat May 19 08:45:12 2018  found 0 duplicates and 354253313 unique relations
  31. Sat May 19 08:45:12 2018  memory use: 1257.5 MB
  32. Sat May 19 08:45:12 2018  reading ideals above 267845632
  33. Sat May 19 08:45:12 2018  commencing singleton removal, initial pass
  34. Sat May 19 09:15:54 2018  memory use: 6024.0 MB
  35. Sat May 19 09:15:54 2018  reading all ideals from disk
  36. Sat May 19 09:16:12 2018  memory use: 6527.7 MB
  37. Sat May 19 09:16:24 2018  commencing in-memory singleton removal
  38. Sat May 19 09:16:35 2018  begin with 354253313 relations and 306308655 unique ideals
  39. Sat May 19 09:18:47 2018  reduce to 216577618 relations and 153344129 ideals in 14 passes
  40. Sat May 19 09:18:47 2018  max relations containing the same ideal: 37
  41. Sat May 19 09:18:58 2018  reading ideals above 720000
  42. Sat May 19 09:18:58 2018  commencing singleton removal, initial pass
  43. Sat May 19 09:44:00 2018  memory use: 5512.0 MB
  44. Sat May 19 09:44:01 2018  reading large ideals from disk
  45. Sat May 19 09:45:30 2018  keeping 166597933 ideals with weight <= 20, target excess is 15939763
  46. Sat May 19 09:47:02 2018  memory use: 5253.5 MB
  47. Sat May 19 09:47:02 2018  commencing in-memory singleton removal
  48. Sat May 19 09:47:10 2018  begin with 216577618 relations and 166597933 unique ideals
  49. Sat May 19 09:48:23 2018  reduce to 216576152 relations and 166596467 ideals in 8 passes
  50. Sat May 19 09:48:23 2018  max relations containing the same ideal: 20
  51. Sat May 19 09:49:20 2018  removing 13432212 relations and 11432212 ideals in 2000000 cliques
  52. Sat May 19 09:49:24 2018  commencing in-memory singleton removal
  53. Sat May 19 09:49:31 2018  begin with 203143940 relations and 166596467 unique ideals
  54. Sat May 19 09:50:41 2018  reduce to 202499942 relations and 154512429 ideals in 8 passes
  55. Sat May 19 09:50:41 2018  max relations containing the same ideal: 20
  56. Sat May 19 09:51:33 2018  removing 10012367 relations and 8012367 ideals in 2000000 cliques
  57. Sat May 19 09:51:37 2018  commencing in-memory singleton removal
  58. Sat May 19 09:51:43 2018  begin with 192487575 relations and 154512429 unique ideals
  59. Sat May 19 09:52:48 2018  reduce to 192076445 relations and 146084608 ideals in 8 passes
  60. Sat May 19 09:52:48 2018  max relations containing the same ideal: 20
  61. Sat May 19 09:53:37 2018  removing 8943395 relations and 6943395 ideals in 2000000 cliques
  62. Sat May 19 09:53:41 2018  commencing in-memory singleton removal
  63. Sat May 19 09:53:46 2018  begin with 183133050 relations and 146084608 unique ideals
  64. Sat May 19 09:54:46 2018  reduce to 182780256 relations and 138784808 ideals in 8 passes
  65. Sat May 19 09:54:46 2018  max relations containing the same ideal: 20
  66. Sat May 19 09:55:32 2018  removing 8364414 relations and 6364414 ideals in 2000000 cliques
  67. Sat May 19 09:55:36 2018  commencing in-memory singleton removal
  68. Sat May 19 09:55:41 2018  begin with 174415842 relations and 138784808 unique ideals
  69. Sat May 19 09:56:35 2018  reduce to 174091772 relations and 132092909 ideals in 8 passes
  70. Sat May 19 09:56:35 2018  max relations containing the same ideal: 20
  71. Sat May 19 09:57:17 2018  removing 7988743 relations and 5988743 ideals in 2000000 cliques
  72. Sat May 19 09:57:20 2018  commencing in-memory singleton removal
  73. Sat May 19 09:57:25 2018  begin with 166103029 relations and 132092909 unique ideals
  74. Sat May 19 09:58:09 2018  reduce to 165795251 relations and 125793121 ideals in 7 passes
  75. Sat May 19 09:58:09 2018  max relations containing the same ideal: 20
  76. Sat May 19 09:58:49 2018  removing 7723458 relations and 5723458 ideals in 2000000 cliques
  77. Sat May 19 09:58:52 2018  commencing in-memory singleton removal
  78. Sat May 19 09:58:57 2018  begin with 158071793 relations and 125793121 unique ideals
  79. Sat May 19 09:59:38 2018  reduce to 157774527 relations and 119769084 ideals in 7 passes
  80. Sat May 19 09:59:38 2018  max relations containing the same ideal: 20
  81. Sat May 19 10:00:17 2018  removing 7520690 relations and 5520690 ideals in 2000000 cliques
  82. Sat May 19 10:00:20 2018  commencing in-memory singleton removal
  83. Sat May 19 10:00:24 2018  begin with 150253837 relations and 119769084 unique ideals
  84. Sat May 19 10:01:03 2018  reduce to 149960905 relations and 113952015 ideals in 7 passes
  85. Sat May 19 10:01:03 2018  max relations containing the same ideal: 20
  86. Sat May 19 10:01:40 2018  removing 7376327 relations and 5376327 ideals in 2000000 cliques
  87. Sat May 19 10:01:43 2018  commencing in-memory singleton removal
  88. Sat May 19 10:01:47 2018  begin with 142584578 relations and 113952015 unique ideals
  89. Sat May 19 10:02:29 2018  reduce to 142293494 relations and 108281040 ideals in 8 passes
  90. Sat May 19 10:02:29 2018  max relations containing the same ideal: 20
  91. Sat May 19 10:03:04 2018  removing 7246939 relations and 5246939 ideals in 2000000 cliques
  92. Sat May 19 10:03:07 2018  commencing in-memory singleton removal
  93. Sat May 19 10:03:11 2018  begin with 135046555 relations and 108281040 unique ideals
  94. Sat May 19 10:03:45 2018  reduce to 134749860 relations and 102733517 ideals in 7 passes
  95. Sat May 19 10:03:45 2018  max relations containing the same ideal: 20
  96. Sat May 19 10:04:18 2018  removing 7162333 relations and 5162333 ideals in 2000000 cliques
  97. Sat May 19 10:04:21 2018  commencing in-memory singleton removal
  98. Sat May 19 10:04:24 2018  begin with 127587527 relations and 102733517 unique ideals
  99. Sat May 19 10:04:57 2018  reduce to 127288822 relations and 97268342 ideals in 7 passes
  100. Sat May 19 10:04:57 2018  max relations containing the same ideal: 20
  101. Sat May 19 10:05:28 2018  removing 7084569 relations and 5084569 ideals in 2000000 cliques
  102. Sat May 19 10:05:31 2018  commencing in-memory singleton removal
  103. Sat May 19 10:05:34 2018  begin with 120204253 relations and 97268342 unique ideals
  104. Sat May 19 10:06:04 2018  reduce to 119897117 relations and 91872249 ideals in 7 passes
  105. Sat May 19 10:06:04 2018  max relations containing the same ideal: 20
  106. Sat May 19 10:06:34 2018  removing 7013523 relations and 5013523 ideals in 2000000 cliques
  107. Sat May 19 10:06:36 2018  commencing in-memory singleton removal
  108. Sat May 19 10:06:40 2018  begin with 112883594 relations and 91872249 unique ideals
  109. Sat May 19 10:07:12 2018  reduce to 112563141 relations and 86533276 ideals in 8 passes
  110. Sat May 19 10:07:12 2018  max relations containing the same ideal: 20
  111. Sat May 19 10:07:39 2018  removing 6992065 relations and 4992065 ideals in 2000000 cliques
  112. Sat May 19 10:07:42 2018  commencing in-memory singleton removal
  113. Sat May 19 10:07:45 2018  begin with 105571076 relations and 86533276 unique ideals
  114. Sat May 19 10:08:14 2018  reduce to 105234327 relations and 81198957 ideals in 8 passes
  115. Sat May 19 10:08:14 2018  max relations containing the same ideal: 20
  116. Sat May 19 10:08:40 2018  removing 6954248 relations and 4954248 ideals in 2000000 cliques
  117. Sat May 19 10:08:43 2018  commencing in-memory singleton removal
  118. Sat May 19 10:08:45 2018  begin with 98280079 relations and 81198957 unique ideals
  119. Sat May 19 10:09:12 2018  reduce to 97916312 relations and 75874693 ideals in 8 passes
  120. Sat May 19 10:09:12 2018  max relations containing the same ideal: 20
  121. Sat May 19 10:09:37 2018  removing 6948670 relations and 4948670 ideals in 2000000 cliques
  122. Sat May 19 10:09:39 2018  commencing in-memory singleton removal
  123. Sat May 19 10:09:41 2018  begin with 90967642 relations and 75874693 unique ideals
  124. Sat May 19 10:10:06 2018  reduce to 90567568 relations and 70518464 ideals in 8 passes
  125. Sat May 19 10:10:06 2018  max relations containing the same ideal: 19
  126. Sat May 19 10:10:28 2018  removing 5623003 relations and 4064025 ideals in 1558978 cliques
  127. Sat May 19 10:10:30 2018  commencing in-memory singleton removal
  128. Sat May 19 10:10:33 2018  begin with 84944565 relations and 70518464 unique ideals
  129. Sat May 19 10:10:56 2018  reduce to 84651971 relations and 66156870 ideals in 8 passes
  130. Sat May 19 10:10:56 2018  max relations containing the same ideal: 19
  131. Sat May 19 10:11:21 2018  relations with 0 large ideals: 2106710
  132. Sat May 19 10:11:21 2018  relations with 1 large ideals: 10013172
  133. Sat May 19 10:11:21 2018  relations with 2 large ideals: 23081830
  134. Sat May 19 10:11:21 2018  relations with 3 large ideals: 26539407
  135. Sat May 19 10:11:21 2018  relations with 4 large ideals: 16152483
  136. Sat May 19 10:11:21 2018  relations with 5 large ideals: 5348526
  137. Sat May 19 10:11:21 2018  relations with 6 large ideals: 1097749
  138. Sat May 19 10:11:21 2018  relations with 7+ large ideals: 312094
  139. Sat May 19 10:11:21 2018  commencing 2-way merge
  140. Sat May 19 10:11:47 2018  reduce to 54750520 relation sets and 36255419 unique ideals
  141. Sat May 19 10:11:47 2018  commencing full merge
  142. Sat May 19 10:19:43 2018  memory use: 3167.1 MB
  143. Sat May 19 10:19:46 2018  found 22768249 cycles, need 21449619
  144. Sat May 19 10:19:50 2018  weight of 21449619 cycles is about 3004011014 (140.05/cycle)
  145. Sat May 19 10:19:50 2018  distribution of cycle lengths:
  146. Sat May 19 10:19:50 2018  1 relations: 2186564
  147. Sat May 19 10:19:50 2018  2 relations: 1083151
  148. Sat May 19 10:19:50 2018  3 relations: 1072234
  149. Sat May 19 10:19:50 2018  4 relations: 1070493
  150. Sat May 19 10:19:50 2018  5 relations: 1106000
  151. Sat May 19 10:19:50 2018  6 relations: 1111136
  152. Sat May 19 10:19:50 2018  7 relations: 1121372
  153. Sat May 19 10:19:50 2018  8 relations: 1116916
  154. Sat May 19 10:19:50 2018  9 relations: 1104421
  155. Sat May 19 10:19:50 2018  10+ relations: 10477332
  156. Sat May 19 10:19:50 2018  heaviest cycle: 27 relations
  157. Sat May 19 10:19:51 2018  commencing cycle optimization
  158. Sat May 19 10:20:31 2018  start with 211574200 relations
  159. Sat May 19 10:28:47 2018  pruned 14453864 relations
  160. Sat May 19 10:28:48 2018  memory use: 5225.8 MB
  161. Sat May 19 10:28:48 2018  distribution of cycle lengths:
  162. Sat May 19 10:28:48 2018  1 relations: 2186564
  163. Sat May 19 10:28:48 2018  2 relations: 1124209
  164. Sat May 19 10:28:48 2018  3 relations: 1136131
  165. Sat May 19 10:28:48 2018  4 relations: 1143874
  166. Sat May 19 10:28:48 2018  5 relations: 1199061
  167. Sat May 19 10:28:48 2018  6 relations: 1211239
  168. Sat May 19 10:28:48 2018  7 relations: 1232704
  169. Sat May 19 10:28:48 2018  8 relations: 1227213
  170. Sat May 19 10:28:48 2018  9 relations: 1219428
  171. Sat May 19 10:28:48 2018  10+ relations: 9769196
  172. Sat May 19 10:28:48 2018  heaviest cycle: 27 relations
  173. Sat May 19 10:29:08 2018  RelProcTime: 9131
  174. Sat May 19 10:29:08 2018  
  175. Sat May 19 10:29:08 2018  commencing linear algebra
  176. Sat May 19 10:29:34 2018  read 21449619 cycles
  177. Sat May 19 10:30:21 2018  cycles contain 75227196 unique relations
  178. Sat May 19 10:36:24 2018  read 75227196 relations
  179. Sat May 19 10:38:41 2018  using 20 quadratic characters above 4294917295
  180. Sat May 19 10:43:30 2018  building initial matrix
  181. Sat May 19 10:57:58 2018  memory use: 10000.6 MB
  182. Sat May 19 10:58:28 2018  read 21449619 cycles
  183. Sat May 19 10:58:31 2018  matrix is 21449334 x 21449619 (11109.5 MB) with weight 3228627549 (150.52/col)
  184. Sat May 19 10:58:31 2018  sparse part has weight 2676353401 (124.77/col)
  185. Sat May 19 11:06:40 2018  filtering completed in 3 passes
  186. Sat May 19 11:06:44 2018  matrix is 21443686 x 21443886 (11108.3 MB) with weight 3228209445 (150.54/col)
  187. Sat May 19 11:06:44 2018  sparse part has weight 2676084600 (124.79/col)
  188. Sat May 19 11:08:25 2018  matrix starts at (0, 0)
  189. Sat May 19 11:08:27 2018  matrix is 21443686 x 21443886 (11108.3 MB) with weight 3228209445 (150.54/col)
  190. Sat May 19 11:08:27 2018  sparse part has weight 2676084600 (124.79/col)
  191. Sat May 19 11:08:27 2018  saving the first 48 matrix rows for later
  192. Sat May 19 11:08:31 2018  matrix includes 64 packed rows
  193. Sat May 19 11:08:33 2018  matrix is 21443638 x 21443886 (10710.3 MB) with weight 2799139967 (130.53/col)
  194. Sat May 19 11:08:33 2018  sparse part has weight 2593213241 (120.93/col)
  195. Sat May 19 11:08:34 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  196. Sat May 19 11:10:30 2018  commencing Lanczos iteration (4 threads)
  197. Sat May 19 11:10:30 2018  memory use: 9253.5 MB
  198. Sat May 19 11:12:51 2018  linear algebra at 0.0%, ETA 528h39m
  199. Sat May 19 11:13:36 2018  checkpointing every 50000 dimensions
  200. Sat Jun  2 09:03:18 2018  
  201. Sat Jun  2 09:03:18 2018  
  202. Sat Jun  2 09:03:18 2018  Msieve v. 1.53 (SVN unknown)
  203. Sat Jun  2 09:03:18 2018  random seeds: eaa6e6aa 22350230
  204. Sat Jun  2 09:03:18 2018  factoring 71103093976678893891407527309167771195856981812400200327243554393415927587233027781926566247789011596051936831220879826300141074235047643960421767724231609412833734157558148474335495581277243996195840989804452028509762347743085864886666362651 (242 digits)
  205. Sat Jun  2 09:03:19 2018  searching for 15-digit factors
  206. Sat Jun  2 09:03:20 2018  commencing number field sieve (242-digit input)
  207. Sat Jun  2 09:03:20 2018  R0: 886293811965250109592900000000000000000000000
  208. Sat Jun  2 09:03:20 2018  R1: -112410921330388974282595778471993
  209. Sat Jun  2 09:03:20 2018  A0: 90
  210. Sat Jun  2 09:03:20 2018  A1: 0
  211. Sat Jun  2 09:03:20 2018  A2: 0
  212. Sat Jun  2 09:03:20 2018  A3: 0
  213. Sat Jun  2 09:03:20 2018  A4: 0
  214. Sat Jun  2 09:03:20 2018  A5: 0
  215. Sat Jun  2 09:03:20 2018  A6: 1
  216. Sat Jun  2 09:03:20 2018  skew 2.12, size 4.563e-13, alpha -1.091, combined = 6.247e-14 rroots = 0
  217. Sat Jun  2 09:03:20 2018  
  218. Sat Jun  2 09:03:20 2018  commencing linear algebra
  219. Sat Jun  2 09:03:20 2018  skipping matrix build
  220. Sat Jun  2 09:03:48 2018  matrix starts at (0, 0)
  221. Sat Jun  2 09:03:51 2018  matrix is 21443686 x 21443886 (11108.3 MB) with weight 3228209445 (150.54/col)
  222. Sat Jun  2 09:03:51 2018  sparse part has weight 2676084600 (124.79/col)
  223. Sat Jun  2 09:03:51 2018  saving the first 48 matrix rows for later
  224. Sat Jun  2 09:03:54 2018  matrix includes 64 packed rows
  225. Sat Jun  2 09:03:57 2018  matrix is 21443638 x 21443886 (10710.3 MB) with weight 2799139967 (130.53/col)
  226. Sat Jun  2 09:03:57 2018  sparse part has weight 2593213241 (120.93/col)
  227. Sat Jun  2 09:03:57 2018  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  228. Sat Jun  2 09:05:53 2018  commencing Lanczos iteration (4 threads)
  229. Sat Jun  2 09:05:53 2018  memory use: 9253.5 MB
  230. Sat Jun  2 09:05:55 2018  restarting at iteration 209531 (dim = 13250040)
  231. Sat Jun  2 09:08:00 2018  linear algebra at 61.8%, ETA 187h45m
  232. Sat Jun  2 09:08:41 2018  checkpointing every 50000 dimensions
  233. Sat Jun  9 10:42:53 2018  lanczos halted after 339109 iterations (dim = 21443634)
  234. Sat Jun  9 10:43:35 2018  recovered 37 nontrivial dependencies
  235. Sat Jun  9 10:43:35 2018  BLanczosTime: 610815
  236. Sat Jun  9 10:43:35 2018  
  237. Sat Jun  9 10:43:35 2018  commencing square root phase
  238. Sat Jun  9 10:43:35 2018  handling dependencies 1 to 64
  239. Sat Jun  9 10:43:35 2018  reading relations for dependency 1
  240. Sat Jun  9 10:43:38 2018  read 10727219 cycles
  241. Sat Jun  9 10:43:57 2018  cycles contain 37625690 unique relations
  242. Sat Jun  9 10:47:00 2018  read 37625690 relations
  243. Sat Jun  9 10:49:27 2018  multiplying 37625690 relations
  244. Sat Jun  9 11:17:46 2018  multiply complete, coefficients have about 987.18 million bits
  245. Sat Jun  9 11:17:50 2018  initial square root is modulo 718535347
  246. Sat Jun  9 11:47:10 2018  GCD is 1, no factor found
  247. Sat Jun  9 11:47:10 2018  reading relations for dependency 2
  248. Sat Jun  9 11:47:12 2018  read 10723017 cycles
  249. Sat Jun  9 11:47:32 2018  cycles contain 37616094 unique relations
  250. Sat Jun  9 11:50:34 2018  read 37616094 relations
  251. Sat Jun  9 11:53:00 2018  multiplying 37616094 relations
  252. Sat Jun  9 12:21:32 2018  multiply complete, coefficients have about 986.94 million bits
  253. Sat Jun  9 12:21:35 2018  initial square root is modulo 715015669
  254. Sat Jun  9 12:50:51 2018  found factor: 6847778595053934062576040404437466308874787031207135803262418207218334465459
  255. Sat Jun  9 12:50:51 2018  reading relations for dependency 3
  256. Sat Jun  9 12:50:53 2018  read 10721898 cycles
  257. Sat Jun  9 12:51:13 2018  cycles contain 37608070 unique relations
  258. Sat Jun  9 12:54:15 2018  read 37608070 relations
  259. Sat Jun  9 12:56:41 2018  multiplying 37608070 relations
  260. Sat Jun  9 13:25:13 2018  multiply complete, coefficients have about 986.71 million bits
  261. Sat Jun  9 13:25:17 2018  initial square root is modulo 711631777
  262. Sat Jun  9 13:54:32 2018  sqrtTime: 11457
  263. Sat Jun  9 13:54:32 2018  p68 factor: 58528355577197286679642195838524107275744040043935899489984692139063
  264. Sat Jun  9 13:54:32 2018  p76 factor: 6847778595053934062576040404437466308874787031207135803262418207218334465459
  265. Sat Jun  9 13:54:32 2018  p99 factor: 177407700445380701413834830514607944930738219714746329010965920943044267417105425229799890138138703
  266. Sat Jun  9 13:54:32 2018  elapsed time 172:51:14
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