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  1. Sat Jul 16 23:44:12 2016  
  2. Sat Jul 16 23:44:13 2016  
  3. Sat Jul 16 23:44:14 2016  Msieve v. 1.53 (SVN 988M)
  4. Sat Jul 16 23:44:14 2016  random seeds: f2470c08 06f9aa0f
  5. Sat Jul 16 23:44:14 2016  factoring 20297788696455568480088264099005427744629561583202672998294166765565024944983186892753657391126253292401307796277421074891918485893857562038439191931674203628510896816940944037723960155279553197933915753208364888365682352289 (224 digits)
  6. Sat Jul 16 23:44:15 2016  searching for 15-digit factors
  7. Sat Jul 16 23:44:16 2016  commencing number field sieve (224-digit input)
  8. Sat Jul 16 23:44:16 2016  R0: 1192092895507812500000000000000000000000
  9. Sat Jul 16 23:44:16 2016  R1: 139353667211683681
  10. Sat Jul 16 23:44:16 2016  A0: 19321
  11. Sat Jul 16 23:44:16 2016  A1: 0
  12. Sat Jul 16 23:44:16 2016  A2: 0
  13. Sat Jul 16 23:44:16 2016  A3: 0
  14. Sat Jul 16 23:44:16 2016  A4: 0
  15. Sat Jul 16 23:44:16 2016  A5: 0
  16. Sat Jul 16 23:44:16 2016  A6: 50
  17. Sat Jul 16 23:44:16 2016  skew 2.70, size 3.798e-12, alpha 0.493, combined = 3.280e-13 rroots = 0
  18. Sat Jul 16 23:44:16 2016  
  19. Sat Jul 16 23:44:16 2016  commencing relation filtering
  20. Sat Jul 16 23:44:16 2016  setting target matrix density to 130.0
  21. Sat Jul 16 23:44:16 2016  estimated available RAM is 65536.0 MB
  22. Sat Jul 16 23:44:16 2016  commencing duplicate removal, pass 1
  23. Sat Jul 16 23:45:51 2016  error -9 reading relation 11606238
  24. Sat Jul 16 23:48:50 2016  error -15 reading relation 33520855
  25. Sat Jul 16 23:58:49 2016  error -15 reading relation 106226054
  26. Sat Jul 16 23:59:43 2016  error -9 reading relation 112755702
  27. Sun Jul 17 00:09:55 2016  error -1 reading relation 186121907
  28. Sun Jul 17 00:10:43 2016  error -1 reading relation 191909625
  29. Sun Jul 17 00:11:22 2016  error -15 reading relation 196600137
  30. Sun Jul 17 00:12:12 2016  error -9 reading relation 202448287
  31. Sun Jul 17 00:13:27 2016  error -15 reading relation 211569599
  32. Sun Jul 17 00:14:29 2016  error -9 reading relation 218984815
  33. Sun Jul 17 00:14:29 2016  error -9 reading relation 218992985
  34. Sun Jul 17 00:14:52 2016  error -1 reading relation 221814268
  35. Sun Jul 17 00:14:55 2016  error -9 reading relation 222251834
  36. Sun Jul 17 00:15:32 2016  error -9 reading relation 226892694
  37. Sun Jul 17 00:16:20 2016  error -15 reading relation 232779511
  38. Sun Jul 17 00:16:24 2016  error -15 reading relation 233196356
  39. Sun Jul 17 00:16:28 2016  error -9 reading relation 233668925
  40. Sun Jul 17 00:16:28 2016  error -1 reading relation 233690486
  41. Sun Jul 17 00:16:28 2016  error -9 reading relation 233697429
  42. Sun Jul 17 00:16:28 2016  error -15 reading relation 233702460
  43. Sun Jul 17 00:16:28 2016  error -1 reading relation 233703365
  44. Sun Jul 17 00:16:30 2016  error -15 reading relation 234025666
  45. Sun Jul 17 00:16:32 2016  error -9 reading relation 234208951
  46. Sun Jul 17 00:16:36 2016  skipped 19 relations with b > 2^32
  47. Sun Jul 17 00:16:36 2016  skipped 16 relations with composite factors
  48. Sun Jul 17 00:16:36 2016  found 44323315 hash collisions in 234711794 relations
  49. Sun Jul 17 00:16:52 2016  added 1218618 free relations
  50. Sun Jul 17 00:16:52 2016  commencing duplicate removal, pass 2
  51. Sun Jul 17 00:20:48 2016  found 42739178 duplicates and 193191234 unique relations
  52. Sun Jul 17 00:20:48 2016  memory use: 1321.5 MB
  53. Sun Jul 17 00:20:48 2016  reading ideals above 720000
  54. Sun Jul 17 00:20:48 2016  commencing singleton removal, initial pass
  55. Sun Jul 17 00:46:55 2016  memory use: 5512.0 MB
  56. Sun Jul 17 00:46:55 2016  reading all ideals from disk
  57. Sun Jul 17 00:47:00 2016  memory use: 7592.3 MB
  58. Sun Jul 17 00:47:22 2016  keeping 174656868 ideals with weight <= 200, target excess is 966297
  59. Sun Jul 17 00:47:48 2016  commencing in-memory singleton removal
  60. Sun Jul 17 00:48:05 2016  begin with 193191234 relations and 174656868 unique ideals
  61. Sun Jul 17 00:51:06 2016  reduce to 125422486 relations and 99962684 ideals in 14 passes
  62. Sun Jul 17 00:51:07 2016  max relations containing the same ideal: 158
  63. Sun Jul 17 00:52:05 2016  removing 10750312 relations and 8750312 ideals in 2000000 cliques
  64. Sun Jul 17 00:52:09 2016  commencing in-memory singleton removal
  65. Sun Jul 17 00:52:20 2016  begin with 114672174 relations and 99962684 unique ideals
  66. Sun Jul 17 00:53:47 2016  reduce to 114001666 relations and 90528408 ideals in 8 passes
  67. Sun Jul 17 00:53:48 2016  max relations containing the same ideal: 152
  68. Sun Jul 17 00:54:40 2016  removing 8167732 relations and 6167732 ideals in 2000000 cliques
  69. Sun Jul 17 00:54:45 2016  commencing in-memory singleton removal
  70. Sun Jul 17 00:54:54 2016  begin with 105833934 relations and 90528408 unique ideals
  71. Sun Jul 17 00:56:04 2016  reduce to 105381890 relations and 83900834 ideals in 7 passes
  72. Sun Jul 17 00:56:05 2016  max relations containing the same ideal: 141
  73. Sun Jul 17 00:56:55 2016  removing 7410621 relations and 5410621 ideals in 2000000 cliques
  74. Sun Jul 17 00:56:58 2016  commencing in-memory singleton removal
  75. Sun Jul 17 00:57:07 2016  begin with 97971269 relations and 83900834 unique ideals
  76. Sun Jul 17 00:58:11 2016  reduce to 97572904 relations and 78084768 ideals in 7 passes
  77. Sun Jul 17 00:58:12 2016  max relations containing the same ideal: 135
  78. Sun Jul 17 00:58:58 2016  removing 7021942 relations and 5021942 ideals in 2000000 cliques
  79. Sun Jul 17 00:59:01 2016  commencing in-memory singleton removal
  80. Sun Jul 17 00:59:09 2016  begin with 90550962 relations and 78084768 unique ideals
  81. Sun Jul 17 01:00:07 2016  reduce to 90172764 relations and 72677634 ideals in 7 passes
  82. Sun Jul 17 01:00:08 2016  max relations containing the same ideal: 129
  83. Sun Jul 17 01:00:50 2016  removing 6784478 relations and 4784478 ideals in 2000000 cliques
  84. Sun Jul 17 01:00:52 2016  commencing in-memory singleton removal
  85. Sun Jul 17 01:01:00 2016  begin with 83388286 relations and 72677634 unique ideals
  86. Sun Jul 17 01:01:53 2016  reduce to 83016894 relations and 67514469 ideals in 7 passes
  87. Sun Jul 17 01:01:53 2016  max relations containing the same ideal: 122
  88. Sun Jul 17 01:02:30 2016  removing 6621953 relations and 4621953 ideals in 2000000 cliques
  89. Sun Jul 17 01:02:33 2016  commencing in-memory singleton removal
  90. Sun Jul 17 01:02:40 2016  begin with 76394941 relations and 67514469 unique ideals
  91. Sun Jul 17 01:03:29 2016  reduce to 76019772 relations and 62509212 ideals in 7 passes
  92. Sun Jul 17 01:03:29 2016  max relations containing the same ideal: 117
  93. Sun Jul 17 01:04:04 2016  removing 6515283 relations and 4515283 ideals in 2000000 cliques
  94. Sun Jul 17 01:04:06 2016  commencing in-memory singleton removal
  95. Sun Jul 17 01:04:12 2016  begin with 69504489 relations and 62509212 unique ideals
  96. Sun Jul 17 01:04:56 2016  reduce to 69118348 relations and 57598825 ideals in 7 passes
  97. Sun Jul 17 01:04:56 2016  max relations containing the same ideal: 106
  98. Sun Jul 17 01:05:28 2016  removing 6437537 relations and 4437537 ideals in 2000000 cliques
  99. Sun Jul 17 01:05:31 2016  commencing in-memory singleton removal
  100. Sun Jul 17 01:05:36 2016  begin with 62680811 relations and 57598825 unique ideals
  101. Sun Jul 17 01:06:15 2016  reduce to 62274009 relations and 52744308 ideals in 7 passes
  102. Sun Jul 17 01:06:15 2016  max relations containing the same ideal: 101
  103. Sun Jul 17 01:06:44 2016  removing 6384056 relations and 4384056 ideals in 2000000 cliques
  104. Sun Jul 17 01:06:46 2016  commencing in-memory singleton removal
  105. Sun Jul 17 01:06:51 2016  begin with 55889953 relations and 52744308 unique ideals
  106. Sun Jul 17 01:07:25 2016  reduce to 55452097 relations and 47910185 ideals in 7 passes
  107. Sun Jul 17 01:07:25 2016  max relations containing the same ideal: 92
  108. Sun Jul 17 01:07:51 2016  removing 6357071 relations and 4357071 ideals in 2000000 cliques
  109. Sun Jul 17 01:07:53 2016  commencing in-memory singleton removal
  110. Sun Jul 17 01:07:57 2016  begin with 49095026 relations and 47910185 unique ideals
  111. Sun Jul 17 01:08:26 2016  reduce to 48616254 relations and 43059633 ideals in 7 passes
  112. Sun Jul 17 01:08:26 2016  max relations containing the same ideal: 84
  113. Sun Jul 17 01:08:49 2016  removing 6340508 relations and 4340508 ideals in 2000000 cliques
  114. Sun Jul 17 01:08:51 2016  commencing in-memory singleton removal
  115. Sun Jul 17 01:08:54 2016  begin with 42275746 relations and 43059633 unique ideals
  116. Sun Jul 17 01:09:19 2016  reduce to 41734082 relations and 38158642 ideals in 7 passes
  117. Sun Jul 17 01:09:19 2016  max relations containing the same ideal: 75
  118. Sun Jul 17 01:09:38 2016  removing 6344384 relations and 4344384 ideals in 2000000 cliques
  119. Sun Jul 17 01:09:40 2016  commencing in-memory singleton removal
  120. Sun Jul 17 01:09:43 2016  begin with 35389698 relations and 38158642 unique ideals
  121. Sun Jul 17 01:10:04 2016  reduce to 34753756 relations and 33152482 ideals in 7 passes
  122. Sun Jul 17 01:10:04 2016  max relations containing the same ideal: 65
  123. Sun Jul 17 01:10:20 2016  removing 2017760 relations and 1537391 ideals in 480369 cliques
  124. Sun Jul 17 01:10:21 2016  commencing in-memory singleton removal
  125. Sun Jul 17 01:10:23 2016  begin with 32735996 relations and 33152482 unique ideals
  126. Sun Jul 17 01:10:39 2016  reduce to 32656734 relations and 31534863 ideals in 6 passes
  127. Sun Jul 17 01:10:39 2016  max relations containing the same ideal: 62
  128. Sun Jul 17 01:10:58 2016  relations with 0 large ideals: 34605
  129. Sun Jul 17 01:10:58 2016  relations with 1 large ideals: 22681
  130. Sun Jul 17 01:10:58 2016  relations with 2 large ideals: 294855
  131. Sun Jul 17 01:10:58 2016  relations with 3 large ideals: 1616520
  132. Sun Jul 17 01:10:58 2016  relations with 4 large ideals: 4700677
  133. Sun Jul 17 01:10:58 2016  relations with 5 large ideals: 8064728
  134. Sun Jul 17 01:10:58 2016  relations with 6 large ideals: 8543705
  135. Sun Jul 17 01:10:58 2016  relations with 7+ large ideals: 9378963
  136. Sun Jul 17 01:10:58 2016  commencing 2-way merge
  137. Sun Jul 17 01:11:19 2016  reduce to 21797549 relation sets and 20675678 unique ideals
  138. Sun Jul 17 01:11:19 2016  commencing full merge
  139. Sun Jul 17 01:20:20 2016  memory use: 2739.2 MB
  140. Sun Jul 17 01:20:25 2016  found 9606704 cycles, need 9565878
  141. Sun Jul 17 01:20:26 2016  weight of 9565878 cycles is about 1243729972 (130.02/cycle)
  142. Sun Jul 17 01:20:26 2016  distribution of cycle lengths:
  143. Sun Jul 17 01:20:26 2016  1 relations: 297843
  144. Sun Jul 17 01:20:26 2016  2 relations: 471725
  145. Sun Jul 17 01:20:26 2016  3 relations: 581641
  146. Sun Jul 17 01:20:26 2016  4 relations: 622306
  147. Sun Jul 17 01:20:26 2016  5 relations: 655387
  148. Sun Jul 17 01:20:26 2016  6 relations: 660008
  149. Sun Jul 17 01:20:26 2016  7 relations: 658525
  150. Sun Jul 17 01:20:26 2016  8 relations: 642422
  151. Sun Jul 17 01:20:26 2016  9 relations: 616736
  152. Sun Jul 17 01:20:26 2016  10+ relations: 4359285
  153. Sun Jul 17 01:20:26 2016  heaviest cycle: 28 relations
  154. Sun Jul 17 01:20:29 2016  commencing cycle optimization
  155. Sun Jul 17 01:20:52 2016  start with 92605844 relations
  156. Sun Jul 17 01:25:12 2016  pruned 4886985 relations
  157. Sun Jul 17 01:25:13 2016  memory use: 2305.0 MB
  158. Sun Jul 17 01:25:13 2016  distribution of cycle lengths:
  159. Sun Jul 17 01:25:13 2016  1 relations: 297843
  160. Sun Jul 17 01:25:13 2016  2 relations: 484373
  161. Sun Jul 17 01:25:13 2016  3 relations: 608221
  162. Sun Jul 17 01:25:13 2016  4 relations: 651768
  163. Sun Jul 17 01:25:13 2016  5 relations: 693313
  164. Sun Jul 17 01:25:13 2016  6 relations: 697929
  165. Sun Jul 17 01:25:13 2016  7 relations: 699943
  166. Sun Jul 17 01:25:13 2016  8 relations: 681949
  167. Sun Jul 17 01:25:13 2016  9 relations: 653415
  168. Sun Jul 17 01:25:13 2016  10+ relations: 4097124
  169. Sun Jul 17 01:25:13 2016  heaviest cycle: 28 relations
  170. Sun Jul 17 01:25:38 2016  RelProcTime: 6082
  171. Sun Jul 17 01:25:38 2016  
  172. Sun Jul 17 01:25:38 2016  commencing linear algebra
  173. Sun Jul 17 01:25:40 2016  read 9565878 cycles
  174. Sun Jul 17 01:26:03 2016  cycles contain 32118477 unique relations
  175. Sun Jul 17 01:31:25 2016  read 32118477 relations
  176. Sun Jul 17 01:32:36 2016  using 20 quadratic characters above 4294917295
  177. Sun Jul 17 01:34:44 2016  building initial matrix
  178. Sun Jul 17 01:41:41 2016  memory use: 4084.5 MB
  179. Sun Jul 17 01:41:51 2016  read 9565878 cycles
  180. Sun Jul 17 01:41:52 2016  matrix is 9565700 x 9565878 (4808.9 MB) with weight 1375547003 (143.80/col)
  181. Sun Jul 17 01:41:52 2016  sparse part has weight 1155394945 (120.78/col)
  182. Sun Jul 17 01:44:19 2016  filtering completed in 2 passes
  183. Sun Jul 17 01:44:22 2016  matrix is 9565595 x 9565773 (4808.9 MB) with weight 1375542620 (143.80/col)
  184. Sun Jul 17 01:44:22 2016  sparse part has weight 1155393062 (120.78/col)
  185. Sun Jul 17 01:46:45 2016  matrix starts at (0, 0)
  186. Sun Jul 17 01:46:46 2016  matrix is 9565595 x 9565773 (4808.9 MB) with weight 1375542620 (143.80/col)
  187. Sun Jul 17 01:46:46 2016  sparse part has weight 1155393062 (120.78/col)
  188. Sun Jul 17 01:46:46 2016  saving the first 48 matrix rows for later
  189. Sun Jul 17 01:46:48 2016  matrix includes 64 packed rows
  190. Sun Jul 17 01:46:48 2016  matrix is 9565547 x 9565773 (4599.6 MB) with weight 1193335615 (124.75/col)
  191. Sun Jul 17 01:46:48 2016  sparse part has weight 1110095567 (116.05/col)
  192. Sun Jul 17 01:46:48 2016  using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  193. Sun Jul 17 01:47:57 2016  commencing Lanczos iteration (12 threads)
  194. Sun Jul 17 01:47:59 2016  memory use: 3901.1 MB
  195. Sun Jul 17 01:48:18 2016  linear algebra at 0.0%, ETA 31h28m
  196. Sun Jul 17 01:48:24 2016  checkpointing every 310000 dimensions
  197. Mon Jul 18 08:56:51 2016  lanczos halted after 151276 iterations (dim = 9565545)
  198. Mon Jul 18 08:57:04 2016  recovered 38 nontrivial dependencies
  199. Mon Jul 18 08:57:08 2016  BLanczosTime: 113490
  200. Mon Jul 18 08:57:08 2016  
  201. Mon Jul 18 08:57:08 2016  commencing square root phase
  202. Mon Jul 18 08:57:08 2016  handling dependencies 1 to 64
  203. Mon Jul 18 08:57:08 2016  reading relations for dependency 1
  204. Mon Jul 18 08:57:10 2016  read 4783523 cycles
  205. Mon Jul 18 08:57:20 2016  cycles contain 16060722 unique relations
  206. Mon Jul 18 09:01:23 2016  read 16060722 relations
  207. Mon Jul 18 09:02:33 2016  multiplying 16060722 relations
  208. Mon Jul 18 09:16:09 2016  multiply complete, coefficients have about 503.92 million bits
  209. Mon Jul 18 09:16:12 2016  initial square root is modulo 1101424183
  210. Mon Jul 18 09:30:50 2016  GCD is N, no factor found
  211. Mon Jul 18 09:30:51 2016  reading relations for dependency 2
  212. Mon Jul 18 09:30:54 2016  read 4786398 cycles
  213. Mon Jul 18 09:31:04 2016  cycles contain 16067780 unique relations
  214. Mon Jul 18 09:35:07 2016  read 16067780 relations
  215. Mon Jul 18 09:36:18 2016  multiplying 16067780 relations
  216. Mon Jul 18 09:49:55 2016  multiply complete, coefficients have about 504.14 million bits
  217. Mon Jul 18 09:49:58 2016  initial square root is modulo 1111423087
  218. Mon Jul 18 10:04:36 2016  GCD is N, no factor found
  219. Mon Jul 18 10:04:37 2016  reading relations for dependency 3
  220. Mon Jul 18 10:04:40 2016  read 4783174 cycles
  221. Mon Jul 18 10:04:50 2016  cycles contain 16062284 unique relations
  222. Mon Jul 18 10:08:53 2016  read 16062284 relations
  223. Mon Jul 18 10:10:03 2016  multiplying 16062284 relations
  224. Mon Jul 18 10:23:39 2016  multiply complete, coefficients have about 503.97 million bits
  225. Mon Jul 18 10:23:43 2016  initial square root is modulo 1103603533
  226. Mon Jul 18 10:38:20 2016  GCD is N, no factor found
  227. Mon Jul 18 10:38:21 2016  reading relations for dependency 4
  228. Mon Jul 18 10:38:24 2016  read 4784601 cycles
  229. Mon Jul 18 10:38:34 2016  cycles contain 16064432 unique relations
  230. Mon Jul 18 10:42:37 2016  read 16064432 relations
  231. Mon Jul 18 10:43:47 2016  multiplying 16064432 relations
  232. Mon Jul 18 10:57:23 2016  multiply complete, coefficients have about 504.03 million bits
  233. Mon Jul 18 10:57:26 2016  initial square root is modulo 1106232727
  234. Mon Jul 18 11:12:11 2016  GCD is 1, no factor found
  235. Mon Jul 18 11:12:11 2016  reading relations for dependency 5
  236. Mon Jul 18 11:12:13 2016  read 4782557 cycles
  237. Mon Jul 18 11:12:24 2016  cycles contain 16058218 unique relations
  238. Mon Jul 18 11:16:38 2016  read 16058218 relations
  239. Mon Jul 18 11:17:50 2016  multiplying 16058218 relations
  240. Mon Jul 18 11:31:24 2016  multiply complete, coefficients have about 503.85 million bits
  241. Mon Jul 18 11:31:26 2016  initial square root is modulo 1097964367
  242. Mon Jul 18 11:46:10 2016  sqrtTime: 10142
  243. Mon Jul 18 11:46:10 2016  p63 factor: 441167532792068014888276395860413234454033580497894486031021209
  244. Mon Jul 18 11:46:10 2016  p161 factor: 46009253146972544374533747878163125319944767411152580280464588553294066838542133640892276498780130994904937318477230497285471522496909463169570602105150331554121
  245. Mon Jul 18 11:46:10 2016  elapsed time 36:01:56
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