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  1. Sat May 18 19:12:09 2019  
  2. Sat May 18 19:12:09 2019  
  3. Sat May 18 19:12:09 2019  Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat May 18 19:12:09 2019  random seeds: c52567e4 c80b6baa
  5. Sat May 18 19:12:09 2019  factoring 112727991276480305739884003342637755999863952375623546841705980563890255696422460591330964828554477885061394785819605836293313167227439382527468907529509192961 (159 digits)
  6. Sat May 18 19:12:10 2019  searching for 15-digit factors
  7. Sat May 18 19:12:11 2019  commencing number field sieve (159-digit input)
  8. Sat May 18 19:12:12 2019  R0: 25819923554106796586608805413996644346616798365963
  9. Sat May 18 19:12:12 2019  R1: -1
  10. Sat May 18 19:12:12 2019  A0: 1
  11. Sat May 18 19:12:12 2019  A1: 1
  12. Sat May 18 19:12:12 2019  A2: 1
  13. Sat May 18 19:12:12 2019  A3: 1
  14. Sat May 18 19:12:12 2019  A4: 1
  15. Sat May 18 19:12:12 2019  skew 1.00, size 3.517e-020, alpha 1.694, combined = 4.314e-012 rroots = 0
  16. Sat May 18 19:12:12 2019  
  17. Sat May 18 19:12:12 2019  commencing relation filtering
  18. Sat May 18 19:12:12 2019  setting target matrix density to 110.0
  19. Sat May 18 19:12:12 2019  estimated available RAM is 16335.3 MB
  20. Sat May 18 19:12:12 2019  commencing duplicate removal, pass 1
  21. Sat May 18 19:12:39 2019  error -9 reading relation 3246447
  22. Sat May 18 19:12:39 2019  error -1 reading relation 3260456
  23. Sat May 18 19:13:09 2019  error -9 reading relation 7061715
  24. Sat May 18 19:13:18 2019  error -5 reading relation 8254685
  25. Sat May 18 19:14:23 2019  error -1 reading relation 16499581
  26. Sat May 18 19:14:28 2019  error -9 reading relation 17224152
  27. Sat May 18 19:14:28 2019  error -9 reading relation 17245724
  28. Sat May 18 19:14:31 2019  error -5 reading relation 17658051
  29. Sat May 18 19:14:32 2019  error -9 reading relation 17714979
  30. Sat May 18 19:14:34 2019  error -1 reading relation 17973202
  31. Sat May 18 19:14:34 2019  error -9 reading relation 18076846
  32. Sat May 18 19:14:35 2019  error -9 reading relation 18092330
  33. Sat May 18 19:14:35 2019  error -5 reading relation 18100605
  34. Sat May 18 19:14:40 2019  error -15 reading relation 18822527
  35. Sat May 18 19:14:42 2019  error -5 reading relation 19038083
  36. Sat May 18 19:14:47 2019  error -9 reading relation 19742768
  37. Sat May 18 19:14:53 2019  error -9 reading relation 20490921
  38. Sat May 18 19:14:55 2019  error -9 reading relation 20738762
  39. Sat May 18 19:14:55 2019  error -9 reading relation 20754736
  40. Sat May 18 19:15:04 2019  error -1 reading relation 21773191
  41. Sat May 18 19:15:04 2019  error -9 reading relation 21819286
  42. Sat May 18 19:15:05 2019  error -9 reading relation 21901803
  43. Sat May 18 19:15:15 2019  error -9 reading relation 23163281
  44. Sat May 18 19:15:17 2019  error -15 reading relation 23454673
  45. Sat May 18 19:15:19 2019  error -9 reading relation 23720654
  46. Sat May 18 19:15:31 2019  error -1 reading relation 25213167
  47. Sat May 18 19:15:31 2019  error -9 reading relation 25215823
  48. Sat May 18 19:15:54 2019  error -9 reading relation 27992398
  49. Sat May 18 19:15:56 2019  error -9 reading relation 28247318
  50. Sat May 18 19:16:06 2019  error -5 reading relation 29523049
  51. Sat May 18 19:16:07 2019  error -5 reading relation 29567129
  52. Sat May 18 19:16:08 2019  error -9 reading relation 29758828
  53. Sat May 18 19:16:09 2019  error -1 reading relation 29805347
  54. Sat May 18 19:16:09 2019  error -9 reading relation 29859335
  55. Sat May 18 19:16:09 2019  error -9 reading relation 29876999
  56. Sat May 18 19:16:09 2019  error -9 reading relation 29884308
  57. Sat May 18 19:16:13 2019  error -9 reading relation 30293807
  58. Sat May 18 19:18:51 2019  error -9 reading relation 49711896
  59. Sat May 18 19:19:49 2019  error -15 reading relation 56838426
  60. Sat May 18 19:19:52 2019  error -9 reading relation 57259996
  61. Sat May 18 19:20:02 2019  error -9 reading relation 58582724
  62. Sat May 18 19:20:09 2019  error -9 reading relation 59426501
  63. Sat May 18 19:20:09 2019  error -9 reading relation 59429363
  64. Sat May 18 19:20:13 2019  error -9 reading relation 60025701
  65. Sat May 18 19:20:14 2019  error -9 reading relation 60136092
  66. Sat May 18 19:20:15 2019  error -9 reading relation 60252545
  67. Sat May 18 19:20:17 2019  error -15 reading relation 60415744
  68. Sat May 18 19:20:18 2019  error -15 reading relation 60579552
  69. Sat May 18 19:20:19 2019  error -9 reading relation 60731513
  70. Sat May 18 19:20:20 2019  error -15 reading relation 60810895
  71. Sat May 18 19:20:20 2019  error -9 reading relation 60900057
  72. Sat May 18 19:20:27 2019  error -15 reading relation 61750741
  73. Sat May 18 19:20:31 2019  error -9 reading relation 62304991
  74. Sat May 18 19:20:32 2019  error -15 reading relation 62385117
  75. Sat May 18 19:20:34 2019  skipped 42 relations with b > 2^32
  76. Sat May 18 19:20:34 2019  skipped 27 relations with composite factors
  77. Sat May 18 19:20:34 2019  found 9132813 hash collisions in 62664805 relations
  78. Sat May 18 19:20:42 2019  added 3656924 free relations
  79. Sat May 18 19:20:42 2019  commencing duplicate removal, pass 2
  80. Sat May 18 19:21:11 2019  found 7484399 duplicates and 58837330 unique relations
  81. Sat May 18 19:21:11 2019  memory use: 330.4 MB
  82. Sat May 18 19:21:11 2019  reading ideals above 720000
  83. Sat May 18 19:21:11 2019  commencing singleton removal, initial pass
  84. Sat May 18 19:28:18 2019  memory use: 1378.0 MB
  85. Sat May 18 19:28:18 2019  reading all ideals from disk
  86. Sat May 18 19:28:19 2019  memory use: 2086.6 MB
  87. Sat May 18 19:28:23 2019  keeping 48750971 ideals with weight <= 200, target excess is 297841
  88. Sat May 18 19:28:29 2019  commencing in-memory singleton removal
  89. Sat May 18 19:28:32 2019  begin with 58837330 relations and 48750971 unique ideals
  90. Sat May 18 19:29:14 2019  reduce to 43796340 relations and 32418401 ideals in 12 passes
  91. Sat May 18 19:29:14 2019  max relations containing the same ideal: 176
  92. Sat May 18 19:29:30 2019  removing 6823537 relations and 4823537 ideals in 2000000 cliques
  93. Sat May 18 19:29:32 2019  commencing in-memory singleton removal
  94. Sat May 18 19:29:34 2019  begin with 36972803 relations and 32418401 unique ideals
  95. Sat May 18 19:29:56 2019  reduce to 35985422 relations and 26547254 ideals in 8 passes
  96. Sat May 18 19:29:56 2019  max relations containing the same ideal: 157
  97. Sat May 18 19:30:09 2019  removing 5634111 relations and 3634111 ideals in 2000000 cliques
  98. Sat May 18 19:30:10 2019  commencing in-memory singleton removal
  99. Sat May 18 19:30:12 2019  begin with 30351311 relations and 26547254 unique ideals
  100. Sat May 18 19:30:27 2019  reduce to 29706050 relations and 22230523 ideals in 7 passes
  101. Sat May 18 19:30:27 2019  max relations containing the same ideal: 142
  102. Sat May 18 19:30:38 2019  removing 5293493 relations and 3293493 ideals in 2000000 cliques
  103. Sat May 18 19:30:40 2019  commencing in-memory singleton removal
  104. Sat May 18 19:30:41 2019  begin with 24412557 relations and 22230523 unique ideals
  105. Sat May 18 19:30:53 2019  reduce to 23824897 relations and 18312376 ideals in 7 passes
  106. Sat May 18 19:30:53 2019  max relations containing the same ideal: 123
  107. Sat May 18 19:31:02 2019  removing 5120262 relations and 3120262 ideals in 2000000 cliques
  108. Sat May 18 19:31:03 2019  commencing in-memory singleton removal
  109. Sat May 18 19:31:04 2019  begin with 18704635 relations and 18312376 unique ideals
  110. Sat May 18 19:31:13 2019  reduce to 18099204 relations and 14542190 ideals in 7 passes
  111. Sat May 18 19:31:13 2019  max relations containing the same ideal: 103
  112. Sat May 18 19:31:20 2019  removing 4990682 relations and 2990682 ideals in 2000000 cliques
  113. Sat May 18 19:31:21 2019  commencing in-memory singleton removal
  114. Sat May 18 19:31:22 2019  begin with 13108522 relations and 14542190 unique ideals
  115. Sat May 18 19:31:28 2019  reduce to 12437561 relations and 10817830 ideals in 7 passes
  116. Sat May 18 19:31:28 2019  max relations containing the same ideal: 81
  117. Sat May 18 19:31:32 2019  removing 3287257 relations and 2013022 ideals in 1274235 cliques
  118. Sat May 18 19:31:33 2019  commencing in-memory singleton removal
  119. Sat May 18 19:31:34 2019  begin with 9150304 relations and 10817830 unique ideals
  120. Sat May 18 19:31:38 2019  reduce to 8643348 relations and 8250602 ideals in 8 passes
  121. Sat May 18 19:31:38 2019  max relations containing the same ideal: 61
  122. Sat May 18 19:31:41 2019  removing 232710 relations and 185460 ideals in 47250 cliques
  123. Sat May 18 19:31:41 2019  commencing in-memory singleton removal
  124. Sat May 18 19:31:42 2019  begin with 8410638 relations and 8250602 unique ideals
  125. Sat May 18 19:31:45 2019  reduce to 8404572 relations and 8059033 ideals in 5 passes
  126. Sat May 18 19:31:45 2019  max relations containing the same ideal: 61
  127. Sat May 18 19:31:46 2019  relations with 0 large ideals: 22791
  128. Sat May 18 19:31:46 2019  relations with 1 large ideals: 4814
  129. Sat May 18 19:31:46 2019  relations with 2 large ideals: 55565
  130. Sat May 18 19:31:46 2019  relations with 3 large ideals: 334913
  131. Sat May 18 19:31:46 2019  relations with 4 large ideals: 1076636
  132. Sat May 18 19:31:46 2019  relations with 5 large ideals: 2293876
  133. Sat May 18 19:31:46 2019  relations with 6 large ideals: 2182261
  134. Sat May 18 19:31:46 2019  relations with 7+ large ideals: 2433716
  135. Sat May 18 19:31:46 2019  commencing 2-way merge
  136. Sat May 18 19:31:50 2019  reduce to 6024808 relation sets and 5679269 unique ideals
  137. Sat May 18 19:31:50 2019  commencing full merge
  138. Sat May 18 19:33:38 2019  memory use: 718.9 MB
  139. Sat May 18 19:33:39 2019  found 2716776 cycles, need 2705469
  140. Sat May 18 19:33:39 2019  weight of 2705469 cycles is about 297874241 (110.10/cycle)
  141. Sat May 18 19:33:39 2019  distribution of cycle lengths:
  142. Sat May 18 19:33:39 2019  1 relations: 73699
  143. Sat May 18 19:33:39 2019  2 relations: 130437
  144. Sat May 18 19:33:39 2019  3 relations: 179160
  145. Sat May 18 19:33:39 2019  4 relations: 201825
  146. Sat May 18 19:33:39 2019  5 relations: 213555
  147. Sat May 18 19:33:39 2019  6 relations: 214165
  148. Sat May 18 19:33:39 2019  7 relations: 209319
  149. Sat May 18 19:33:39 2019  8 relations: 197622
  150. Sat May 18 19:33:39 2019  9 relations: 181745
  151. Sat May 18 19:33:39 2019  10+ relations: 1103942
  152. Sat May 18 19:33:39 2019  heaviest cycle: 28 relations
  153. Sat May 18 19:33:39 2019  commencing cycle optimization
  154. Sat May 18 19:33:43 2019  start with 24880272 relations
  155. Sat May 18 19:34:41 2019  pruned 1427392 relations
  156. Sat May 18 19:34:41 2019  memory use: 606.3 MB
  157. Sat May 18 19:34:41 2019  distribution of cycle lengths:
  158. Sat May 18 19:34:41 2019  1 relations: 73699
  159. Sat May 18 19:34:41 2019  2 relations: 133977
  160. Sat May 18 19:34:41 2019  3 relations: 188141
  161. Sat May 18 19:34:41 2019  4 relations: 212867
  162. Sat May 18 19:34:41 2019  5 relations: 228165
  163. Sat May 18 19:34:41 2019  6 relations: 228478
  164. Sat May 18 19:34:41 2019  7 relations: 223789
  165. Sat May 18 19:34:41 2019  8 relations: 209472
  166. Sat May 18 19:34:41 2019  9 relations: 192246
  167. Sat May 18 19:34:41 2019  10+ relations: 1014635
  168. Sat May 18 19:34:41 2019  heaviest cycle: 28 relations
  169. Sat May 18 19:34:44 2019  RelProcTime: 1352
  170. Sat May 18 19:34:44 2019  
  171. Sat May 18 19:34:44 2019  commencing linear algebra
  172. Sat May 18 19:34:44 2019  read 2705469 cycles
  173. Sat May 18 19:34:49 2019  cycles contain 8243015 unique relations
  174. Sat May 18 19:35:44 2019  read 8243015 relations
  175. Sat May 18 19:35:56 2019  using 20 quadratic characters above 4294917295
  176. Sat May 18 19:36:34 2019  building initial matrix
  177. Sat May 18 19:38:04 2019  memory use: 1053.3 MB
  178. Sat May 18 19:38:06 2019  read 2705469 cycles
  179. Sat May 18 19:38:06 2019  matrix is 2705187 x 2705469 (1167.1 MB) with weight 336648301 (124.43/col)
  180. Sat May 18 19:38:06 2019  sparse part has weight 276175304 (102.08/col)
  181. Sat May 18 19:38:35 2019  filtering completed in 2 passes
  182. Sat May 18 19:38:35 2019  matrix is 2705124 x 2705324 (1166.9 MB) with weight 336618101 (124.43/col)
  183. Sat May 18 19:38:35 2019  sparse part has weight 276149056 (102.08/col)
  184. Sat May 18 19:38:42 2019  matrix starts at (0, 0)
  185. Sat May 18 19:38:42 2019  matrix is 2705124 x 2705324 (1166.9 MB) with weight 336618101 (124.43/col)
  186. Sat May 18 19:38:42 2019  sparse part has weight 276149056 (102.08/col)
  187. Sat May 18 19:38:42 2019  saving the first 112 matrix rows for later
  188. Sat May 18 19:38:43 2019  matrix includes 128 packed rows
  189. Sat May 18 19:38:43 2019  matrix is 2705012 x 2705324 (1073.6 MB) with weight 264704589 (97.85/col)
  190. Sat May 18 19:38:43 2019  sparse part has weight 248979470 (92.03/col)
  191. Sat May 18 19:38:43 2019  using block size 8192 and superblock size 294912 for processor cache size 6144 kB
  192. Sat May 18 19:38:53 2019  commencing Lanczos iteration (8 threads)
  193. Sat May 18 19:38:53 2019  memory use: 1188.2 MB
  194. Sat May 18 19:39:01 2019  linear algebra at 0.1%, ETA 3h26m
  195. Sat May 18 19:39:04 2019  checkpointing every 740000 dimensions
  196. Sat May 18 23:22:32 2019  lanczos halted after 21260 iterations (dim = 2705003)
  197. Sat May 18 23:22:39 2019  recovered 32 nontrivial dependencies
  198. Sat May 18 23:22:39 2019  BLanczosTime: 13675
  199. Sat May 18 23:22:39 2019  
  200. Sat May 18 23:22:39 2019  commencing square root phase
  201. Sat May 18 23:22:39 2019  handling dependencies 1 to 64
  202. Sat May 18 23:22:39 2019  reading relations for dependency 1
  203. Sat May 18 23:22:47 2019  read 1353462 cycles
  204. Sat May 18 23:22:49 2019  cycles contain 4122452 unique relations
  205. Sat May 18 23:27:53 2019  read 4122452 relations
  206. Sat May 18 23:28:10 2019  multiplying 4122452 relations
  207. Sat May 18 23:29:27 2019  multiply complete, coefficients have about 101.64 million bits
  208. Sat May 18 23:29:27 2019  initial square root is modulo 19755613
  209. Sat May 18 23:31:10 2019  sqrtTime: 511
  210. Sat May 18 23:31:10 2019  p67 factor: 1369923570981096922169090089099997306451094156688499611365738351751
  211. Sat May 18 23:31:10 2019  p92 factor: 82287795950359480566429119411608231774682286246038299376140130375177430261961628840694598711
  212. Sat May 18 23:31:10 2019  elapsed time 04:19:01
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