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7p2_319

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  1. Mon May 27 16:49:45 2019  
  2. Mon May 27 16:49:45 2019  
  3. Mon May 27 16:49:45 2019  Msieve v. 1.54 (SVN 1025)
  4. Mon May 27 16:49:45 2019  random seeds: ff2bdd24 8b9be24c
  5. Mon May 27 16:49:45 2019  factoring 5771957213389651212296510963230681370503529798443747974031709878538802534374550571218921806063013746731462374356183464139399572537848006159711053324516044589728816751225563007044113232080614610981209825658818887668221321603 (223 digits)
  6. Mon May 27 16:49:46 2019  searching for 15-digit factors
  7. Mon May 27 16:49:47 2019  commencing number field sieve (223-digit input)
  8. Mon May 27 16:49:47 2019  R0: 10367793076318844190248738727596543368589101198193
  9. Mon May 27 16:49:47 2019  R1: -1728673739677471101567216945987584
  10. Mon May 27 16:49:47 2019  A0: -1
  11. Mon May 27 16:49:47 2019  A1: 3
  12. Mon May 27 16:49:47 2019  A2: 3
  13. Mon May 27 16:49:47 2019  A3: -4
  14. Mon May 27 16:49:47 2019  A4: -1
  15. Mon May 27 16:49:47 2019  A5: 1
  16. Mon May 27 16:49:47 2019  skew 1.00, size 1.167e-16, alpha 2.379, combined = 2.242e-13 rroots = 5
  17. Mon May 27 16:49:47 2019  
  18. Mon May 27 16:49:47 2019  commencing relation filtering
  19. Mon May 27 16:49:47 2019  setting target matrix density to 124.0
  20. Mon May 27 16:49:47 2019  estimated available RAM is 16007.4 MB
  21. Mon May 27 16:49:47 2019  commencing duplicate removal, pass 1
  22. Mon May 27 17:08:41 2019  error -11 reading relation 167641488
  23. Mon May 27 17:09:37 2019  error -5 reading relation 175686628
  24. Mon May 27 17:11:41 2019  error -5 reading relation 193640580
  25. Mon May 27 17:13:24 2019  skipped 333 relations with b > 2^32
  26. Mon May 27 17:13:24 2019  skipped 3 relations with composite factors
  27. Mon May 27 17:13:24 2019  found 9436091 hash collisions in 207825421 relations
  28. Mon May 27 17:13:24 2019  commencing duplicate removal, pass 2
  29. Mon May 27 17:14:24 2019  found 0 duplicates and 207825421 unique relations
  30. Mon May 27 17:14:24 2019  memory use: 522.4 MB
  31. Mon May 27 17:14:24 2019  reading ideals above 148570112
  32. Mon May 27 17:14:24 2019  commencing singleton removal, initial pass
  33. Mon May 27 17:31:48 2019  memory use: 3012.0 MB
  34. Mon May 27 17:31:49 2019  reading all ideals from disk
  35. Mon May 27 17:31:56 2019  memory use: 3767.6 MB
  36. Mon May 27 17:32:03 2019  commencing in-memory singleton removal
  37. Mon May 27 17:32:10 2019  begin with 207825421 relations and 162140077 unique ideals
  38. Mon May 27 17:33:32 2019  reduce to 145328327 relations and 94014531 ideals in 13 passes
  39. Mon May 27 17:33:32 2019  max relations containing the same ideal: 44
  40. Mon May 27 17:33:38 2019  reading ideals above 720000
  41. Mon May 27 17:33:38 2019  commencing singleton removal, initial pass
  42. Mon May 27 17:49:06 2019  memory use: 3012.0 MB
  43. Mon May 27 17:49:06 2019  reading all ideals from disk
  44. Mon May 27 17:49:21 2019  memory use: 5735.9 MB
  45. Mon May 27 17:49:34 2019  keeping 109999419 ideals with weight <= 200, target excess is 752127
  46. Mon May 27 17:49:50 2019  commencing in-memory singleton removal
  47. Mon May 27 17:50:01 2019  begin with 145328327 relations and 109999419 unique ideals
  48. Mon May 27 17:50:49 2019  reduce to 145327917 relations and 109999009 ideals in 4 passes
  49. Mon May 27 17:50:49 2019  max relations containing the same ideal: 200
  50. Mon May 27 17:51:43 2019  removing 9915835 relations and 7915835 ideals in 2000000 cliques
  51. Mon May 27 17:51:46 2019  commencing in-memory singleton removal
  52. Mon May 27 17:51:57 2019  begin with 135412082 relations and 109999009 unique ideals
  53. Mon May 27 17:53:17 2019  reduce to 134917712 relations and 101580183 ideals in 7 passes
  54. Mon May 27 17:53:17 2019  max relations containing the same ideal: 198
  55. Mon May 27 17:54:07 2019  removing 7563027 relations and 5563027 ideals in 2000000 cliques
  56. Mon May 27 17:54:10 2019  commencing in-memory singleton removal
  57. Mon May 27 17:54:19 2019  begin with 127354685 relations and 101580183 unique ideals
  58. Mon May 27 17:55:49 2019  reduce to 127025295 relations and 95682834 ideals in 9 passes
  59. Mon May 27 17:55:49 2019  max relations containing the same ideal: 192
  60. Mon May 27 17:56:34 2019  removing 6873639 relations and 4873639 ideals in 2000000 cliques
  61. Mon May 27 17:56:36 2019  commencing in-memory singleton removal
  62. Mon May 27 17:56:44 2019  begin with 120151656 relations and 95682834 unique ideals
  63. Mon May 27 17:57:41 2019  reduce to 119865817 relations and 90519052 ideals in 6 passes
  64. Mon May 27 17:57:41 2019  max relations containing the same ideal: 187
  65. Mon May 27 17:58:23 2019  removing 6513336 relations and 4513336 ideals in 2000000 cliques
  66. Mon May 27 17:58:25 2019  commencing in-memory singleton removal
  67. Mon May 27 17:58:33 2019  begin with 113352481 relations and 90519052 unique ideals
  68. Mon May 27 17:59:35 2019  reduce to 113090893 relations and 85740074 ideals in 7 passes
  69. Mon May 27 17:59:35 2019  max relations containing the same ideal: 181
  70. Mon May 27 18:00:15 2019  removing 6281246 relations and 4281246 ideals in 2000000 cliques
  71. Mon May 27 18:00:17 2019  commencing in-memory singleton removal
  72. Mon May 27 18:00:24 2019  begin with 106809647 relations and 85740074 unique ideals
  73. Mon May 27 18:01:14 2019  reduce to 106561446 relations and 81206543 ideals in 6 passes
  74. Mon May 27 18:01:14 2019  max relations containing the same ideal: 174
  75. Mon May 27 18:01:51 2019  removing 6115346 relations and 4115346 ideals in 2000000 cliques
  76. Mon May 27 18:01:54 2019  commencing in-memory singleton removal
  77. Mon May 27 18:02:00 2019  begin with 100446100 relations and 81206543 unique ideals
  78. Mon May 27 18:02:54 2019  reduce to 100203826 relations and 76844709 ideals in 7 passes
  79. Mon May 27 18:02:54 2019  max relations containing the same ideal: 167
  80. Mon May 27 18:03:29 2019  removing 5991385 relations and 3991385 ideals in 2000000 cliques
  81. Mon May 27 18:03:32 2019  commencing in-memory singleton removal
  82. Mon May 27 18:03:38 2019  begin with 94212441 relations and 76844709 unique ideals
  83. Mon May 27 18:04:27 2019  reduce to 93973074 relations and 72609690 ideals in 7 passes
  84. Mon May 27 18:04:27 2019  max relations containing the same ideal: 160
  85. Mon May 27 18:05:01 2019  removing 5896143 relations and 3896143 ideals in 2000000 cliques
  86. Mon May 27 18:05:03 2019  commencing in-memory singleton removal
  87. Mon May 27 18:05:09 2019  begin with 88076931 relations and 72609690 unique ideals
  88. Mon May 27 18:05:54 2019  reduce to 87836646 relations and 68468576 ideals in 7 passes
  89. Mon May 27 18:05:54 2019  max relations containing the same ideal: 154
  90. Mon May 27 18:06:25 2019  removing 5817621 relations and 3817621 ideals in 2000000 cliques
  91. Mon May 27 18:06:28 2019  commencing in-memory singleton removal
  92. Mon May 27 18:06:33 2019  begin with 82019025 relations and 68468576 unique ideals
  93. Mon May 27 18:07:09 2019  reduce to 81775529 relations and 64402461 ideals in 6 passes
  94. Mon May 27 18:07:09 2019  max relations containing the same ideal: 148
  95. Mon May 27 18:07:38 2019  removing 5755099 relations and 3755099 ideals in 2000000 cliques
  96. Mon May 27 18:07:40 2019  commencing in-memory singleton removal
  97. Mon May 27 18:07:45 2019  begin with 76020430 relations and 64402461 unique ideals
  98. Mon May 27 18:08:18 2019  reduce to 75771527 relations and 60393183 ideals in 6 passes
  99. Mon May 27 18:08:18 2019  max relations containing the same ideal: 139
  100. Mon May 27 18:08:45 2019  removing 5705869 relations and 3705869 ideals in 2000000 cliques
  101. Mon May 27 18:08:47 2019  commencing in-memory singleton removal
  102. Mon May 27 18:08:52 2019  begin with 70065658 relations and 60393183 unique ideals
  103. Mon May 27 18:09:23 2019  reduce to 69806682 relations and 56422428 ideals in 6 passes
  104. Mon May 27 18:09:23 2019  max relations containing the same ideal: 134
  105. Mon May 27 18:09:47 2019  removing 5665153 relations and 3665153 ideals in 2000000 cliques
  106. Mon May 27 18:09:49 2019  commencing in-memory singleton removal
  107. Mon May 27 18:09:53 2019  begin with 64141529 relations and 56422428 unique ideals
  108. Mon May 27 18:10:21 2019  reduce to 63870736 relations and 52479542 ideals in 6 passes
  109. Mon May 27 18:10:21 2019  max relations containing the same ideal: 124
  110. Mon May 27 18:10:44 2019  removing 5629947 relations and 3629947 ideals in 2000000 cliques
  111. Mon May 27 18:10:46 2019  commencing in-memory singleton removal
  112. Mon May 27 18:10:50 2019  begin with 58240789 relations and 52479542 unique ideals
  113. Mon May 27 18:11:14 2019  reduce to 57950697 relations and 48551636 ideals in 6 passes
  114. Mon May 27 18:11:14 2019  max relations containing the same ideal: 114
  115. Mon May 27 18:11:35 2019  removing 5612608 relations and 3612608 ideals in 2000000 cliques
  116. Mon May 27 18:11:37 2019  commencing in-memory singleton removal
  117. Mon May 27 18:11:40 2019  begin with 52338089 relations and 48551636 unique ideals
  118. Mon May 27 18:12:06 2019  reduce to 52020719 relations and 44612238 ideals in 7 passes
  119. Mon May 27 18:12:06 2019  max relations containing the same ideal: 107
  120. Mon May 27 18:12:25 2019  removing 5605923 relations and 3605923 ideals in 2000000 cliques
  121. Mon May 27 18:12:26 2019  commencing in-memory singleton removal
  122. Mon May 27 18:12:29 2019  begin with 46414796 relations and 44612238 unique ideals
  123. Mon May 27 18:12:52 2019  reduce to 46056285 relations and 40636104 ideals in 7 passes
  124. Mon May 27 18:12:52 2019  max relations containing the same ideal: 97
  125. Mon May 27 18:13:09 2019  removing 5622029 relations and 3622029 ideals in 2000000 cliques
  126. Mon May 27 18:13:10 2019  commencing in-memory singleton removal
  127. Mon May 27 18:13:13 2019  begin with 40434256 relations and 40636104 unique ideals
  128. Mon May 27 18:13:32 2019  reduce to 40015183 relations and 36579967 ideals in 7 passes
  129. Mon May 27 18:13:32 2019  max relations containing the same ideal: 90
  130. Mon May 27 18:13:47 2019  removing 5675501 relations and 3675501 ideals in 2000000 cliques
  131. Mon May 27 18:13:48 2019  commencing in-memory singleton removal
  132. Mon May 27 18:13:50 2019  begin with 34339682 relations and 36579967 unique ideals
  133. Mon May 27 18:14:09 2019  reduce to 33814714 relations and 32357604 ideals in 8 passes
  134. Mon May 27 18:14:09 2019  max relations containing the same ideal: 81
  135. Mon May 27 18:14:21 2019  removing 2101181 relations and 1516539 ideals in 584642 cliques
  136. Mon May 27 18:14:22 2019  commencing in-memory singleton removal
  137. Mon May 27 18:14:24 2019  begin with 31713533 relations and 32357604 unique ideals
  138. Mon May 27 18:14:37 2019  reduce to 31606898 relations and 30732667 ideals in 6 passes
  139. Mon May 27 18:14:37 2019  max relations containing the same ideal: 80
  140. Mon May 27 18:14:53 2019  relations with 0 large ideals: 57511
  141. Mon May 27 18:14:53 2019  relations with 1 large ideals: 13731
  142. Mon May 27 18:14:53 2019  relations with 2 large ideals: 169054
  143. Mon May 27 18:14:53 2019  relations with 3 large ideals: 1035811
  144. Mon May 27 18:14:53 2019  relations with 4 large ideals: 3424977
  145. Mon May 27 18:14:53 2019  relations with 5 large ideals: 6755775
  146. Mon May 27 18:14:53 2019  relations with 6 large ideals: 9315689
  147. Mon May 27 18:14:53 2019  relations with 7+ large ideals: 10834350
  148. Mon May 27 18:14:53 2019  commencing 2-way merge
  149. Mon May 27 18:15:08 2019  reduce to 22038328 relation sets and 21164097 unique ideals
  150. Mon May 27 18:15:08 2019  commencing full merge
  151. Mon May 27 18:22:32 2019  memory use: 2742.2 MB
  152. Mon May 27 18:22:34 2019  found 9664191 cycles, need 9646297
  153. Mon May 27 18:22:36 2019  weight of 9646297 cycles is about 1196934091 (124.08/cycle)
  154. Mon May 27 18:22:36 2019  distribution of cycle lengths:
  155. Mon May 27 18:22:36 2019  1 relations: 300168
  156. Mon May 27 18:22:36 2019  2 relations: 436002
  157. Mon May 27 18:22:36 2019  3 relations: 561913
  158. Mon May 27 18:22:36 2019  4 relations: 625529
  159. Mon May 27 18:22:36 2019  5 relations: 670088
  160. Mon May 27 18:22:36 2019  6 relations: 688665
  161. Mon May 27 18:22:36 2019  7 relations: 691280
  162. Mon May 27 18:22:36 2019  8 relations: 677422
  163. Mon May 27 18:22:36 2019  9 relations: 646419
  164. Mon May 27 18:22:36 2019  10+ relations: 4348811
  165. Mon May 27 18:22:36 2019  heaviest cycle: 28 relations
  166. Mon May 27 18:22:38 2019  commencing cycle optimization
  167. Mon May 27 18:22:56 2019  start with 92834732 relations
  168. Mon May 27 18:26:17 2019  pruned 5182993 relations
  169. Mon May 27 18:26:17 2019  memory use: 2270.6 MB
  170. Mon May 27 18:26:17 2019  distribution of cycle lengths:
  171. Mon May 27 18:26:17 2019  1 relations: 300168
  172. Mon May 27 18:26:17 2019  2 relations: 447495
  173. Mon May 27 18:26:17 2019  3 relations: 587062
  174. Mon May 27 18:26:17 2019  4 relations: 656413
  175. Mon May 27 18:26:17 2019  5 relations: 711045
  176. Mon May 27 18:26:17 2019  6 relations: 731626
  177. Mon May 27 18:26:17 2019  7 relations: 738719
  178. Mon May 27 18:26:17 2019  8 relations: 722399
  179. Mon May 27 18:26:17 2019  9 relations: 689286
  180. Mon May 27 18:26:17 2019  10+ relations: 4062084
  181. Mon May 27 18:26:17 2019  heaviest cycle: 28 relations
  182. Mon May 27 18:26:30 2019  RelProcTime: 5803
  183. Mon May 27 18:26:30 2019  
  184. Mon May 27 18:26:30 2019  commencing linear algebra
  185. Mon May 27 18:26:34 2019  read 9646297 cycles
  186. Mon May 27 18:26:54 2019  cycles contain 31216877 unique relations
  187. Mon May 27 18:29:29 2019  read 31216877 relations
  188. Mon May 27 18:30:14 2019  using 20 quadratic characters above 4294917295
  189. Mon May 27 18:32:10 2019  building initial matrix
  190. Mon May 27 18:37:26 2019  memory use: 3877.2 MB
  191. Mon May 27 18:37:30 2019  read 9646297 cycles
  192. Mon May 27 18:37:31 2019  matrix is 9646120 x 9646297 (4626.2 MB) with weight 1317017290 (136.53/col)
  193. Mon May 27 18:37:31 2019  sparse part has weight 1106622224 (114.72/col)
  194. Mon May 27 18:39:23 2019  filtering completed in 2 passes
  195. Mon May 27 18:39:25 2019  matrix is 9646046 x 9646223 (4626.2 MB) with weight 1317015070 (136.53/col)
  196. Mon May 27 18:39:25 2019  sparse part has weight 1106621568 (114.72/col)
  197. Mon May 27 18:39:54 2019  matrix starts at (0, 0)
  198. Mon May 27 18:39:56 2019  matrix is 9646046 x 9646223 (4626.2 MB) with weight 1317015070 (136.53/col)
  199. Mon May 27 18:39:56 2019  sparse part has weight 1106621568 (114.72/col)
  200. Mon May 27 18:39:56 2019  saving the first 48 matrix rows for later
  201. Mon May 27 18:39:57 2019  matrix includes 64 packed rows
  202. Mon May 27 18:39:58 2019  matrix is 9645998 x 9646223 (4437.4 MB) with weight 1139583276 (118.14/col)
  203. Mon May 27 18:39:58 2019  sparse part has weight 1066779684 (110.59/col)
  204. Mon May 27 18:39:59 2019  using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  205. Mon May 27 18:40:31 2019  commencing Lanczos iteration (4 threads)
  206. Mon May 27 18:40:31 2019  memory use: 4237.3 MB
  207. Mon May 27 18:41:17 2019  linear algebra at 0.0%, ETA 79h12m
  208. Mon May 27 18:41:32 2019  checkpointing every 130000 dimensions
  209. Fri May 31 01:11:36 2019  lanczos halted after 152544 iterations (dim = 9645994)
  210. Fri May 31 01:11:46 2019  recovered 33 nontrivial dependencies
  211. Fri May 31 01:11:47 2019  BLanczosTime: 283517
  212. Fri May 31 01:11:47 2019  
  213. Fri May 31 01:11:47 2019  commencing square root phase
  214. Fri May 31 01:11:47 2019  handling dependencies 1 to 64
  215. Fri May 31 01:11:47 2019  reading relations for dependency 1
  216. Fri May 31 01:11:47 2019  read 4823183 cycles
  217. Fri May 31 01:11:56 2019  cycles contain 15606508 unique relations
  218. Fri May 31 01:13:25 2019  read 15606508 relations
  219. Fri May 31 01:14:20 2019  multiplying 15606508 relations
  220. Fri May 31 01:20:44 2019  multiply complete, coefficients have about 396.08 million bits
  221. Fri May 31 01:20:46 2019  initial square root is modulo 12790027
  222. Fri May 31 01:28:09 2019  sqrtTime: 982
  223. Fri May 31 01:28:09 2019  p76 factor: 9654015162709013215641338252766919080261591243535477939503567221352050022127
  224. Fri May 31 01:28:09 2019  p147 factor: 597881515215062318815670814440778211054642428667061738438953843564857073865271578816912414953710336219533816167946203481602901748167118857178594989
  225. Fri May 31 01:28:09 2019  elapsed time 80:38:24
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