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Feb 4th, 2019
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  1. Sat Feb 2 19:46:45 2019
  2. Sat Feb 2 19:46:45 2019
  3. Sat Feb 2 19:46:45 2019 Msieve v. 1.54 (SVN 1025)
  4. Sat Feb 2 19:46:45 2019 random seeds: ef0c12ab 6388a2ee
  5. Sat Feb 2 19:46:45 2019 factoring 9492601115792936507114794833668826992656535465828266739806495320802330358725673478564032757394380281143598518889228504696377986041502864562781962345590255381441950682318284954437076120117835145402700634373 (205 digits)
  6. Sat Feb 2 19:46:46 2019 searching for 15-digit factors
  7. Sat Feb 2 19:46:46 2019 commencing number field sieve (205-digit input)
  8. Sat Feb 2 19:46:46 2019 R0: 5243338316756303634461458718861951455543
  9. Sat Feb 2 19:46:46 2019 R1: -26588814358957503287787
  10. Sat Feb 2 19:46:46 2019 A0: 1
  11. Sat Feb 2 19:46:46 2019 A1: -1
  12. Sat Feb 2 19:46:46 2019 A2: 1
  13. Sat Feb 2 19:46:46 2019 A3: -1
  14. Sat Feb 2 19:46:46 2019 A4: 1
  15. Sat Feb 2 19:46:46 2019 A5: -1
  16. Sat Feb 2 19:46:46 2019 A6: 1
  17. Sat Feb 2 19:46:46 2019 skew 1.00, size 8.718e-12, alpha 2.428, combined = 5.771e-13 rroots = 0
  18. Sat Feb 2 19:46:46 2019
  19. Sat Feb 2 19:46:46 2019 commencing relation filtering
  20. Sat Feb 2 19:46:46 2019 setting target matrix density to 116.0
  21. Sat Feb 2 19:46:46 2019 estimated available RAM is 15988.9 MB
  22. Sat Feb 2 19:46:46 2019 commencing duplicate removal, pass 1
  23. Sat Feb 2 19:49:55 2019 error -1 reading relation 29128287
  24. Sat Feb 2 19:53:28 2019 error -1 reading relation 61848985
  25. Sat Feb 2 19:55:13 2019 error -1 reading relation 77872865
  26. Sat Feb 2 19:55:13 2019 error -11 reading relation 77873370
  27. Sat Feb 2 19:55:13 2019 error -1 reading relation 77875310
  28. Sat Feb 2 19:55:13 2019 error -15 reading relation 77875784
  29. Sat Feb 2 19:55:13 2019 error -11 reading relation 77876304
  30. Sat Feb 2 19:55:13 2019 error -11 reading relation 77878074
  31. Sat Feb 2 19:55:13 2019 error -1 reading relation 77878460
  32. Sat Feb 2 19:55:13 2019 error -15 reading relation 77878578
  33. Sat Feb 2 19:55:13 2019 error -6 reading relation 77879086
  34. Sat Feb 2 19:55:13 2019 error -11 reading relation 77879608
  35. Sat Feb 2 19:55:13 2019 error -1 reading relation 77879739
  36. Sat Feb 2 19:55:13 2019 error -11 reading relation 77880135
  37. Sat Feb 2 19:55:13 2019 error -1 reading relation 77880639
  38. Sat Feb 2 19:55:13 2019 error -11 reading relation 77880704
  39. Sat Feb 2 19:55:13 2019 error -11 reading relation 77882078
  40. Sat Feb 2 19:55:13 2019 error -11 reading relation 77882447
  41. Sat Feb 2 19:55:13 2019 error -15 reading relation 77882973
  42. Sat Feb 2 19:55:13 2019 error -15 reading relation 77883050
  43. Sat Feb 2 19:56:26 2019 error -11 reading relation 89133689
  44. Sat Feb 2 19:56:51 2019 error -1 reading relation 92909889
  45. Sat Feb 2 19:57:10 2019 error -1 reading relation 95795492
  46. Sat Feb 2 19:58:36 2019 skipped 36 relations with b > 2^32
  47. Sat Feb 2 19:58:36 2019 skipped 9 relations with composite factors
  48. Sat Feb 2 19:58:36 2019 found 4921431 hash collisions in 106216335 relations
  49. Sat Feb 2 19:58:36 2019 commencing duplicate removal, pass 2
  50. Sat Feb 2 19:58:56 2019 found 0 duplicates and 106216335 unique relations
  51. Sat Feb 2 19:58:56 2019 memory use: 261.2 MB
  52. Sat Feb 2 19:58:56 2019 reading ideals above 66912256
  53. Sat Feb 2 19:58:56 2019 commencing singleton removal, initial pass
  54. Sat Feb 2 20:07:50 2019 memory use: 2756.0 MB
  55. Sat Feb 2 20:07:50 2019 reading all ideals from disk
  56. Sat Feb 2 20:07:51 2019 memory use: 2089.7 MB
  57. Sat Feb 2 20:07:54 2019 commencing in-memory singleton removal
  58. Sat Feb 2 20:07:58 2019 begin with 106216335 relations and 85575193 unique ideals
  59. Sat Feb 2 20:08:41 2019 reduce to 74720488 relations and 51261144 ideals in 12 passes
  60. Sat Feb 2 20:08:41 2019 max relations containing the same ideal: 38
  61. Sat Feb 2 20:08:44 2019 reading ideals above 720000
  62. Sat Feb 2 20:08:45 2019 commencing singleton removal, initial pass
  63. Sat Feb 2 20:16:25 2019 memory use: 1506.0 MB
  64. Sat Feb 2 20:16:25 2019 reading all ideals from disk
  65. Sat Feb 2 20:16:26 2019 memory use: 2862.5 MB
  66. Sat Feb 2 20:16:34 2019 keeping 58760191 ideals with weight <= 200, target excess is 394366
  67. Sat Feb 2 20:16:40 2019 commencing in-memory singleton removal
  68. Sat Feb 2 20:16:46 2019 begin with 74720488 relations and 58760191 unique ideals
  69. Sat Feb 2 20:17:16 2019 reduce to 74720469 relations and 58760172 ideals in 5 passes
  70. Sat Feb 2 20:17:16 2019 max relations containing the same ideal: 200
  71. Sat Feb 2 20:17:43 2019 removing 8208379 relations and 6208379 ideals in 2000000 cliques
  72. Sat Feb 2 20:17:45 2019 commencing in-memory singleton removal
  73. Sat Feb 2 20:17:51 2019 begin with 66512090 relations and 58760172 unique ideals
  74. Sat Feb 2 20:18:27 2019 reduce to 65788469 relations and 51804505 ideals in 7 passes
  75. Sat Feb 2 20:18:27 2019 max relations containing the same ideal: 193
  76. Sat Feb 2 20:18:51 2019 removing 6616374 relations and 4616374 ideals in 2000000 cliques
  77. Sat Feb 2 20:18:53 2019 commencing in-memory singleton removal
  78. Sat Feb 2 20:18:58 2019 begin with 59172095 relations and 51804505 unique ideals
  79. Sat Feb 2 20:19:35 2019 reduce to 58679085 relations and 46680084 ideals in 8 passes
  80. Sat Feb 2 20:19:35 2019 max relations containing the same ideal: 181
  81. Sat Feb 2 20:19:56 2019 removing 6115072 relations and 4115072 ideals in 2000000 cliques
  82. Sat Feb 2 20:19:58 2019 commencing in-memory singleton removal
  83. Sat Feb 2 20:20:02 2019 begin with 52564013 relations and 46680084 unique ideals
  84. Sat Feb 2 20:20:30 2019 reduce to 52125431 relations and 42112469 ideals in 7 passes
  85. Sat Feb 2 20:20:30 2019 max relations containing the same ideal: 174
  86. Sat Feb 2 20:20:50 2019 removing 5847516 relations and 3847516 ideals in 2000000 cliques
  87. Sat Feb 2 20:20:51 2019 commencing in-memory singleton removal
  88. Sat Feb 2 20:20:55 2019 begin with 46277915 relations and 42112469 unique ideals
  89. Sat Feb 2 20:21:16 2019 reduce to 45855987 relations and 37828584 ideals in 6 passes
  90. Sat Feb 2 20:21:16 2019 max relations containing the same ideal: 156
  91. Sat Feb 2 20:21:34 2019 removing 5671434 relations and 3671434 ideals in 2000000 cliques
  92. Sat Feb 2 20:21:35 2019 commencing in-memory singleton removal
  93. Sat Feb 2 20:21:38 2019 begin with 40184553 relations and 37828584 unique ideals
  94. Sat Feb 2 20:21:59 2019 reduce to 39753804 relations and 33710066 ideals in 7 passes
  95. Sat Feb 2 20:21:59 2019 max relations containing the same ideal: 141
  96. Sat Feb 2 20:22:14 2019 removing 5549961 relations and 3549961 ideals in 2000000 cliques
  97. Sat Feb 2 20:22:16 2019 commencing in-memory singleton removal
  98. Sat Feb 2 20:22:18 2019 begin with 34203843 relations and 33710066 unique ideals
  99. Sat Feb 2 20:22:34 2019 reduce to 33743018 relations and 29679341 ideals in 6 passes
  100. Sat Feb 2 20:22:34 2019 max relations containing the same ideal: 125
  101. Sat Feb 2 20:22:46 2019 removing 5471480 relations and 3471480 ideals in 2000000 cliques
  102. Sat Feb 2 20:22:48 2019 commencing in-memory singleton removal
  103. Sat Feb 2 20:22:50 2019 begin with 28271538 relations and 29679341 unique ideals
  104. Sat Feb 2 20:23:04 2019 reduce to 27735698 relations and 25645178 ideals in 7 passes
  105. Sat Feb 2 20:23:04 2019 max relations containing the same ideal: 108
  106. Sat Feb 2 20:23:14 2019 removing 4595843 relations and 2962788 ideals in 1633055 cliques
  107. Sat Feb 2 20:23:16 2019 commencing in-memory singleton removal
  108. Sat Feb 2 20:23:17 2019 begin with 23139855 relations and 25645178 unique ideals
  109. Sat Feb 2 20:23:28 2019 reduce to 22628392 relations and 22145147 ideals in 7 passes
  110. Sat Feb 2 20:23:28 2019 max relations containing the same ideal: 93
  111. Sat Feb 2 20:23:35 2019 removing 147880 relations and 122100 ideals in 25780 cliques
  112. Sat Feb 2 20:23:36 2019 commencing in-memory singleton removal
  113. Sat Feb 2 20:23:37 2019 begin with 22480512 relations and 22145147 unique ideals
  114. Sat Feb 2 20:23:45 2019 reduce to 22479728 relations and 22022263 ideals in 5 passes
  115. Sat Feb 2 20:23:45 2019 max relations containing the same ideal: 93
  116. Sat Feb 2 20:23:49 2019 relations with 0 large ideals: 29720
  117. Sat Feb 2 20:23:49 2019 relations with 1 large ideals: 5878
  118. Sat Feb 2 20:23:49 2019 relations with 2 large ideals: 53651
  119. Sat Feb 2 20:23:49 2019 relations with 3 large ideals: 392244
  120. Sat Feb 2 20:23:49 2019 relations with 4 large ideals: 1568788
  121. Sat Feb 2 20:23:49 2019 relations with 5 large ideals: 3756907
  122. Sat Feb 2 20:23:49 2019 relations with 6 large ideals: 5648229
  123. Sat Feb 2 20:23:49 2019 relations with 7+ large ideals: 11024311
  124. Sat Feb 2 20:23:49 2019 commencing 2-way merge
  125. Sat Feb 2 20:23:59 2019 reduce to 16008902 relation sets and 15551437 unique ideals
  126. Sat Feb 2 20:23:59 2019 commencing full merge
  127. Sat Feb 2 20:28:54 2019 memory use: 2073.7 MB
  128. Sat Feb 2 20:28:55 2019 found 7121296 cycles, need 7115637
  129. Sat Feb 2 20:28:57 2019 weight of 7115637 cycles is about 825851109 (116.06/cycle)
  130. Sat Feb 2 20:28:57 2019 distribution of cycle lengths:
  131. Sat Feb 2 20:28:57 2019 1 relations: 233009
  132. Sat Feb 2 20:28:57 2019 2 relations: 374656
  133. Sat Feb 2 20:28:57 2019 3 relations: 485570
  134. Sat Feb 2 20:28:57 2019 4 relations: 529305
  135. Sat Feb 2 20:28:57 2019 5 relations: 561553
  136. Sat Feb 2 20:28:57 2019 6 relations: 566127
  137. Sat Feb 2 20:28:57 2019 7 relations: 553082
  138. Sat Feb 2 20:28:57 2019 8 relations: 524765
  139. Sat Feb 2 20:28:57 2019 9 relations: 485560
  140. Sat Feb 2 20:28:57 2019 10+ relations: 2802010
  141. Sat Feb 2 20:28:57 2019 heaviest cycle: 28 relations
  142. Sat Feb 2 20:28:59 2019 commencing cycle optimization
  143. Sat Feb 2 20:29:11 2019 start with 63480467 relations
  144. Sat Feb 2 20:31:06 2019 pruned 3394503 relations
  145. Sat Feb 2 20:31:06 2019 memory use: 1594.5 MB
  146. Sat Feb 2 20:31:07 2019 distribution of cycle lengths:
  147. Sat Feb 2 20:31:07 2019 1 relations: 233009
  148. Sat Feb 2 20:31:07 2019 2 relations: 385039
  149. Sat Feb 2 20:31:07 2019 3 relations: 508052
  150. Sat Feb 2 20:31:07 2019 4 relations: 555763
  151. Sat Feb 2 20:31:07 2019 5 relations: 596126
  152. Sat Feb 2 20:31:07 2019 6 relations: 599629
  153. Sat Feb 2 20:31:07 2019 7 relations: 588887
  154. Sat Feb 2 20:31:07 2019 8 relations: 554745
  155. Sat Feb 2 20:31:07 2019 9 relations: 511742
  156. Sat Feb 2 20:31:07 2019 10+ relations: 2582645
  157. Sat Feb 2 20:31:07 2019 heaviest cycle: 28 relations
  158. Sat Feb 2 20:31:18 2019 RelProcTime: 2672
  159. Sat Feb 2 20:31:18 2019
  160. Sat Feb 2 20:31:18 2019 commencing linear algebra
  161. Sat Feb 2 20:31:19 2019 read 7115637 cycles
  162. Sat Feb 2 20:31:31 2019 cycles contain 22266527 unique relations
  163. Sat Feb 2 20:33:12 2019 read 22266527 relations
  164. Sat Feb 2 20:33:42 2019 using 20 quadratic characters above 4294917295
  165. Sat Feb 2 20:34:54 2019 building initial matrix
  166. Sat Feb 2 20:38:18 2019 memory use: 2808.3 MB
  167. Sat Feb 2 20:38:25 2019 read 7115637 cycles
  168. Sat Feb 2 20:38:26 2019 matrix is 7115460 x 7115637 (3216.2 MB) with weight 916178834 (128.76/col)
  169. Sat Feb 2 20:38:26 2019 sparse part has weight 764847071 (107.49/col)
  170. Sat Feb 2 20:39:40 2019 filtering completed in 2 passes
  171. Sat Feb 2 20:39:41 2019 matrix is 7115424 x 7115601 (3216.2 MB) with weight 916177840 (128.76/col)
  172. Sat Feb 2 20:39:41 2019 sparse part has weight 764846807 (107.49/col)
  173. Sat Feb 2 20:39:55 2019 matrix starts at (0, 0)
  174. Sat Feb 2 20:39:56 2019 matrix is 7115424 x 7115601 (3216.2 MB) with weight 916177840 (128.76/col)
  175. Sat Feb 2 20:39:56 2019 sparse part has weight 764846807 (107.49/col)
  176. Sat Feb 2 20:39:56 2019 saving the first 48 matrix rows for later
  177. Sat Feb 2 20:39:57 2019 matrix includes 64 packed rows
  178. Sat Feb 2 20:39:58 2019 matrix is 7115376 x 7115601 (3077.3 MB) with weight 788405068 (110.80/col)
  179. Sat Feb 2 20:39:58 2019 sparse part has weight 735542893 (103.37/col)
  180. Sat Feb 2 20:39:58 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  181. Sat Feb 2 20:40:18 2019 commencing Lanczos iteration (4 threads)
  182. Sat Feb 2 20:40:18 2019 memory use: 2939.8 MB
  183. Sat Feb 2 20:40:45 2019 linear algebra at 0.0%, ETA 33h49m
  184. Sat Feb 2 20:40:54 2019 checkpointing every 210000 dimensions
  185. Mon Feb 4 03:08:20 2019 lanczos halted after 112524 iterations (dim = 7115375)
  186. Mon Feb 4 03:08:31 2019 recovered 38 nontrivial dependencies
  187. Mon Feb 4 03:08:31 2019 BLanczosTime: 110233
  188. Mon Feb 4 03:08:31 2019
  189. Mon Feb 4 03:08:31 2019 commencing square root phase
  190. Mon Feb 4 03:08:31 2019 handling dependencies 1 to 64
  191. Mon Feb 4 03:08:31 2019 reading relations for dependency 1
  192. Mon Feb 4 03:08:31 2019 read 3557419 cycles
  193. Mon Feb 4 03:08:36 2019 cycles contain 11133922 unique relations
  194. Mon Feb 4 03:09:32 2019 read 11133922 relations
  195. Mon Feb 4 03:10:06 2019 multiplying 11133922 relations
  196. Mon Feb 4 03:15:33 2019 multiply complete, coefficients have about 276.51 million bits
  197. Mon Feb 4 03:15:35 2019 initial square root is modulo 91577
  198. Mon Feb 4 03:21:34 2019 sqrtTime: 783
  199. Mon Feb 4 03:21:34 2019 p61 factor: 4160535429281952271303421008726838281706122151437856195754037
  200. Mon Feb 4 03:21:34 2019 p145 factor: 2281581608218926043067558403331288304252774526623279922151771243489326561659451515701034243692824440496543227115379260042007688834720613319382929
  201. Mon Feb 4 03:21:34 2019 elapsed time 31:34:49
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