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Oct 26th, 2018
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  1. Mon Oct 8 07:37:40 2018
  2. Mon Oct 8 07:37:40 2018
  3. Mon Oct 8 07:37:40 2018 Msieve v. 1.54 (SVN 1025)
  4. Mon Oct 8 07:37:40 2018 random seeds: ebabf799 a9b7f0be
  5. Mon Oct 8 07:37:40 2018 factoring 25503431421917993101321887118006938878378655964476437605074260560152721672529861314581467042556964110748403572526947437910470022455618855395879515986932272093603127760772643420867362459955421459731663 (200 digits)
  6. Mon Oct 8 07:37:40 2018 searching for 15-digit factors
  7. Mon Oct 8 07:37:41 2018 commencing number field sieve (200-digit input)
  8. Mon Oct 8 07:37:41 2018 R0: 11335347337562584746201140717669233213
  9. Mon Oct 8 07:37:41 2018 R1: -1
  10. Mon Oct 8 07:37:41 2018 A0: -1
  11. Mon Oct 8 07:37:41 2018 A1: 0
  12. Mon Oct 8 07:37:41 2018 A2: 0
  13. Mon Oct 8 07:37:41 2018 A3: 0
  14. Mon Oct 8 07:37:41 2018 A4: 0
  15. Mon Oct 8 07:37:41 2018 A5: 0
  16. Mon Oct 8 07:37:41 2018 A6: 2246354414917
  17. Mon Oct 8 07:37:41 2018 skew 0.01, size 5.722e-13, alpha 1.932, combined = 8.404e-14 rroots = 2
  18. Mon Oct 8 07:37:41 2018
  19. Mon Oct 8 07:37:41 2018 commencing relation filtering
  20. Mon Oct 8 07:37:41 2018 setting target matrix density to 112.0
  21. Mon Oct 8 07:37:41 2018 estimated available RAM is 15986.5 MB
  22. Mon Oct 8 07:37:41 2018 commencing duplicate removal, pass 1
  23. Mon Oct 8 07:51:41 2018 error -15 reading relation 122995179
  24. Mon Oct 8 07:53:22 2018 error -1 reading relation 137607784
  25. [ . . . deleted 2200 lines - mostly -1 & -11 errors . . . ]
  26. Mon Oct 8 08:04:52 2018 error -11 reading relation 237822639
  27. Mon Oct 8 08:07:01 2018 skipped 535923 relations with b > 2^32
  28. Mon Oct 8 08:07:01 2018 skipped 202 relations with composite factors
  29. Mon Oct 8 08:07:01 2018 found 14061475 hash collisions in 255504612 relations
  30. Mon Oct 8 08:07:12 2018 commencing duplicate removal, pass 2
  31. Mon Oct 8 08:12:19 2018 found 12 duplicates and 255504600 unique relations
  32. Mon Oct 8 08:12:19 2018 memory use: 788.8 MB
  33. Mon Oct 8 08:12:19 2018 reading ideals above 158793728
  34. Mon Oct 8 08:12:19 2018 commencing singleton removal, initial pass
  35. Mon Oct 8 08:41:33 2018 memory use: 6024.0 MB
  36. Mon Oct 8 08:41:33 2018 reading all ideals from disk
  37. Mon Oct 8 08:42:27 2018 memory use: 5250.0 MB
  38. Mon Oct 8 08:42:39 2018 commencing in-memory singleton removal
  39. Mon Oct 8 08:42:50 2018 begin with 255504600 relations and 235805587 unique ideals
  40. Mon Oct 8 08:45:13 2018 reduce to 149378805 relations and 117424703 ideals in 16 passes
  41. Mon Oct 8 08:45:13 2018 max relations containing the same ideal: 39
  42. Mon Oct 8 08:45:21 2018 reading ideals above 720000
  43. Mon Oct 8 08:45:21 2018 commencing singleton removal, initial pass
  44. Mon Oct 8 09:06:33 2018 memory use: 3012.0 MB
  45. Mon Oct 8 09:06:33 2018 reading all ideals from disk
  46. Mon Oct 8 09:07:40 2018 memory use: 6107.9 MB
  47. Mon Oct 8 09:08:04 2018 keeping 134485979 ideals with weight <= 200, target excess is 760474
  48. Mon Oct 8 09:08:32 2018 commencing in-memory singleton removal
  49. Mon Oct 8 09:08:49 2018 begin with 149378805 relations and 134485979 unique ideals
  50. Mon Oct 8 09:10:45 2018 reduce to 149374320 relations and 134481494 ideals in 8 passes
  51. Mon Oct 8 09:10:45 2018 max relations containing the same ideal: 200
  52. Mon Oct 8 09:11:59 2018 removing 14402550 relations and 12402550 ideals in 2000000 cliques
  53. Mon Oct 8 09:12:03 2018 commencing in-memory singleton removal
  54. Mon Oct 8 09:12:17 2018 begin with 134971770 relations and 134481494 unique ideals
  55. Mon Oct 8 09:14:32 2018 reduce to 133776896 relations and 120861741 ideals in 10 passes
  56. Mon Oct 8 09:14:32 2018 max relations containing the same ideal: 194
  57. Mon Oct 8 09:15:38 2018 removing 10860933 relations and 8860933 ideals in 2000000 cliques
  58. Mon Oct 8 09:15:41 2018 commencing in-memory singleton removal
  59. Mon Oct 8 09:15:54 2018 begin with 122915963 relations and 120861741 unique ideals
  60. Mon Oct 8 09:17:53 2018 reduce to 122152735 relations and 111225378 ideals in 10 passes
  61. Mon Oct 8 09:17:53 2018 max relations containing the same ideal: 185
  62. Mon Oct 8 09:18:53 2018 removing 9756945 relations and 7756945 ideals in 2000000 cliques
  63. Mon Oct 8 09:18:56 2018 commencing in-memory singleton removal
  64. Mon Oct 8 09:19:07 2018 begin with 112395790 relations and 111225378 unique ideals
  65. Mon Oct 8 09:20:28 2018 reduce to 111733112 relations and 102794827 ideals in 8 passes
  66. Mon Oct 8 09:20:28 2018 max relations containing the same ideal: 176
  67. Mon Oct 8 09:21:20 2018 removing 9183072 relations and 7183072 ideals in 2000000 cliques
  68. Mon Oct 8 09:21:23 2018 commencing in-memory singleton removal
  69. Mon Oct 8 09:21:32 2018 begin with 102550040 relations and 102794827 unique ideals
  70. Mon Oct 8 09:22:53 2018 reduce to 101918999 relations and 94969763 ideals in 9 passes
  71. Mon Oct 8 09:22:53 2018 max relations containing the same ideal: 170
  72. Mon Oct 8 09:23:40 2018 removing 8824080 relations and 6824080 ideals in 2000000 cliques
  73. Mon Oct 8 09:23:43 2018 commencing in-memory singleton removal
  74. Mon Oct 8 09:23:51 2018 begin with 93094919 relations and 94969763 unique ideals
  75. Mon Oct 8 09:25:03 2018 reduce to 92466616 relations and 87506003 ideals in 9 passes
  76. Mon Oct 8 09:25:03 2018 max relations containing the same ideal: 156
  77. Mon Oct 8 09:25:49 2018 removing 8585889 relations and 6585889 ideals in 2000000 cliques
  78. Mon Oct 8 09:25:53 2018 commencing in-memory singleton removal
  79. Mon Oct 8 09:26:02 2018 begin with 83880727 relations and 87506003 unique ideals
  80. Mon Oct 8 09:27:00 2018 reduce to 83230162 relations and 80256789 ideals in 8 passes
  81. Mon Oct 8 09:27:00 2018 max relations containing the same ideal: 144
  82. Mon Oct 8 09:27:39 2018 removing 8432831 relations and 6432831 ideals in 2000000 cliques
  83. Mon Oct 8 09:27:41 2018 commencing in-memory singleton removal
  84. Mon Oct 8 09:27:47 2018 begin with 74797331 relations and 80256789 unique ideals
  85. Mon Oct 8 09:28:39 2018 reduce to 74104291 relations and 73115905 ideals in 9 passes
  86. Mon Oct 8 09:28:39 2018 max relations containing the same ideal: 135
  87. Mon Oct 8 09:29:10 2018 removing 753229 relations and 646993 ideals in 106236 cliques
  88. Mon Oct 8 09:29:12 2018 commencing in-memory singleton removal
  89. Mon Oct 8 09:29:17 2018 begin with 73351062 relations and 73115905 unique ideals
  90. Mon Oct 8 09:29:44 2018 reduce to 73346012 relations and 72463847 ideals in 5 passes
  91. Mon Oct 8 09:29:44 2018 max relations containing the same ideal: 134
  92. Mon Oct 8 09:30:02 2018 relations with 0 large ideals: 27688
  93. Mon Oct 8 09:30:02 2018 relations with 1 large ideals: 6834
  94. Mon Oct 8 09:30:02 2018 relations with 2 large ideals: 109254
  95. Mon Oct 8 09:30:02 2018 relations with 3 large ideals: 866026
  96. Mon Oct 8 09:30:02 2018 relations with 4 large ideals: 3817449
  97. Mon Oct 8 09:30:02 2018 relations with 5 large ideals: 10262005
  98. Mon Oct 8 09:30:02 2018 relations with 6 large ideals: 17477022
  99. Mon Oct 8 09:30:02 2018 relations with 7+ large ideals: 40779734
  100. Mon Oct 8 09:30:02 2018 commencing 2-way merge
  101. Mon Oct 8 09:31:01 2018 reduce to 47824446 relation sets and 46942281 unique ideals
  102. Mon Oct 8 09:31:01 2018 commencing full merge
  103. Mon Oct 8 09:51:03 2018 memory use: 5933.4 MB
  104. Mon Oct 8 09:51:07 2018 found 21802212 cycles, need 21784481
  105. Mon Oct 8 09:51:14 2018 weight of 21784481 cycles is about 2440328624 (112.02/cycle)
  106. Mon Oct 8 09:51:14 2018 distribution of cycle lengths:
  107. Mon Oct 8 09:51:14 2018 1 relations: 1379126
  108. Mon Oct 8 09:51:14 2018 2 relations: 1701345
  109. Mon Oct 8 09:51:14 2018 3 relations: 1836601
  110. Mon Oct 8 09:51:14 2018 4 relations: 1788956
  111. Mon Oct 8 09:51:14 2018 5 relations: 1726047
  112. Mon Oct 8 09:51:14 2018 6 relations: 1629173
  113. Mon Oct 8 09:51:14 2018 7 relations: 1513479
  114. Mon Oct 8 09:51:14 2018 8 relations: 1401024
  115. Mon Oct 8 09:51:14 2018 9 relations: 1274732
  116. Mon Oct 8 09:51:14 2018 10+ relations: 7533998
  117. Mon Oct 8 09:51:14 2018 heaviest cycle: 28 relations
  118. Mon Oct 8 09:51:20 2018 commencing cycle optimization
  119. Mon Oct 8 09:51:59 2018 start with 177538357 relations
  120. Mon Oct 8 09:58:04 2018 pruned 6844327 relations
  121. Mon Oct 8 09:58:04 2018 memory use: 4876.0 MB
  122. Mon Oct 8 09:58:04 2018 distribution of cycle lengths:
  123. Mon Oct 8 09:58:04 2018 1 relations: 1379126
  124. Mon Oct 8 09:58:04 2018 2 relations: 1743310
  125. Mon Oct 8 09:58:04 2018 3 relations: 1914507
  126. Mon Oct 8 09:58:04 2018 4 relations: 1857186
  127. Mon Oct 8 09:58:04 2018 5 relations: 1799587
  128. Mon Oct 8 09:58:04 2018 6 relations: 1686657
  129. Mon Oct 8 09:58:04 2018 7 relations: 1567893
  130. Mon Oct 8 09:58:04 2018 8 relations: 1438473
  131. Mon Oct 8 09:58:04 2018 9 relations: 1305101
  132. Mon Oct 8 09:58:04 2018 10+ relations: 7092641
  133. Mon Oct 8 09:58:04 2018 heaviest cycle: 28 relations
  134. Mon Oct 8 09:58:50 2018 RelProcTime: 8469
  135. Mon Oct 8 09:58:50 2018
  136. Mon Oct 8 09:58:50 2018 commencing linear algebra
  137. Mon Oct 8 09:58:51 2018 read 21784481 cycles
  138. Mon Oct 8 09:59:33 2018 cycles contain 72792819 unique relations
  139. Mon Oct 8 10:06:52 2018 read 72792819 relations
  140. Mon Oct 8 10:08:58 2018 using 20 quadratic characters above 4294917295
  141. Mon Oct 8 10:13:00 2018 building initial matrix
  142. Mon Oct 8 10:24:46 2018 memory use: 9284.3 MB
  143. Mon Oct 8 10:26:35 2018 read 21784481 cycles
  144. Mon Oct 8 10:26:38 2018 matrix is 21784304 x 21784481 (9604.7 MB) with weight 2718080396 (124.77/col)
  145. Mon Oct 8 10:26:38 2018 sparse part has weight 2299971023 (105.58/col)
  146. Mon Oct 8 10:30:51 2018 filtering completed in 2 passes
  147. Mon Oct 8 10:30:54 2018 matrix is 21783970 x 21784147 (9604.7 MB) with weight 2718070764 (124.77/col)
  148. Mon Oct 8 10:30:54 2018 sparse part has weight 2299968201 (105.58/col)
  149. Mon Oct 8 10:34:42 2018 matrix starts at (0, 0)
  150. Mon Oct 8 10:34:44 2018 matrix is 21783970 x 21784147 (9604.7 MB) with weight 2718070764 (124.77/col)
  151. Mon Oct 8 10:34:44 2018 sparse part has weight 2299968201 (105.58/col)
  152. Mon Oct 8 10:34:44 2018 saving the first 48 matrix rows for later
  153. Mon Oct 8 10:34:48 2018 matrix includes 64 packed rows
  154. Mon Oct 8 10:34:51 2018 matrix is 21783922 x 21784147 (9221.3 MB) with weight 2328300002 (106.88/col)
  155. Mon Oct 8 10:34:51 2018 sparse part has weight 2199467396 (100.97/col)
  156. Mon Oct 8 10:34:51 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  157. Mon Oct 8 10:36:06 2018 commencing Lanczos iteration (4 threads)
  158. Mon Oct 8 10:36:06 2018 memory use: 8947.6 MB
  159. Mon Oct 8 10:38:04 2018 linear algebra at 0.0%, ETA 453h48m
  160. Mon Oct 8 10:38:41 2018 checkpointing every 50000 dimensions
  161. Tue Oct 9 12:07:57 2018 lanczos halted after 19737 iterations (dim = 1248103)
  162. Tue Oct 9 12:07:58 2018 BLanczosTime: 94148
  163. Tue Oct 9 12:07:58 2018
  164. Tue Oct 9 12:07:58 2018 commencing square root phase
  165. Tue Oct 9 12:07:58 2018 handling dependencies 1 to 64
  166. Tue Oct 9 12:07:58 2018 reading relations for dependency 1
  167. Tue Oct 9 12:07:58 2018 error: read_cycles can't open dependency file
  168. Fri Oct 12 14:06:00 2018
  169. Fri Oct 12 14:06:00 2018
  170. Fri Oct 12 14:06:00 2018 Msieve v. 1.54 (SVN 1025)
  171. Fri Oct 12 14:06:00 2018 random seeds: 72be6701 77ec97cd
  172. Fri Oct 12 14:06:00 2018 factoring 25503431421917993101321887118006938878378655964476437605074260560152721672529861314581467042556964110748403572526947437910470022455618855395879515986932272093603127760772643420867362459955421459731663 (200 digits)
  173. Fri Oct 12 14:06:01 2018 searching for 15-digit factors
  174. Fri Oct 12 14:06:01 2018 commencing number field sieve (200-digit input)
  175. Fri Oct 12 14:06:01 2018 R0: 11335347337562584746201140717669233213
  176. Fri Oct 12 14:06:01 2018 R1: -1
  177. Fri Oct 12 14:06:01 2018 A0: -1
  178. Fri Oct 12 14:06:01 2018 A1: 0
  179. Fri Oct 12 14:06:01 2018 A2: 0
  180. Fri Oct 12 14:06:01 2018 A3: 0
  181. Fri Oct 12 14:06:01 2018 A4: 0
  182. Fri Oct 12 14:06:01 2018 A5: 0
  183. Fri Oct 12 14:06:01 2018 A6: 2246354414917
  184. Fri Oct 12 14:06:01 2018 skew 0.01, size 5.722e-13, alpha 1.932, combined = 8.404e-14 rroots = 2
  185. Fri Oct 12 14:06:01 2018
  186. Fri Oct 12 14:06:01 2018 commencing linear algebra
  187. Fri Oct 12 14:06:01 2018 skipping matrix build
  188. Fri Oct 12 14:07:47 2018 matrix starts at (0, 0)
  189. Fri Oct 12 14:07:49 2018 matrix is 21783970 x 21784147 (9604.7 MB) with weight 2718070764 (124.77/col)
  190. Fri Oct 12 14:07:49 2018 sparse part has weight 2299968201 (105.58/col)
  191. Fri Oct 12 14:07:49 2018 saving the first 48 matrix rows for later
  192. Fri Oct 12 14:07:53 2018 matrix includes 64 packed rows
  193. Fri Oct 12 14:07:56 2018 matrix is 21783922 x 21784147 (9221.3 MB) with weight 2328300002 (106.88/col)
  194. Fri Oct 12 14:07:56 2018 sparse part has weight 2199467396 (100.97/col)
  195. Fri Oct 12 14:07:56 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  196. Fri Oct 12 14:09:12 2018 commencing Lanczos iteration (8 threads)
  197. Fri Oct 12 14:09:12 2018 memory use: 8947.6 MB
  198. Fri Oct 12 14:09:22 2018 restarting at iteration 77641 (dim = 4909484)
  199. Fri Oct 12 14:10:01 2018 checkpointing every 60000 dimensions
  200. Fri Oct 12 14:11:07 2018 linear algebra at 22.5%, ETA 324h37m
  201. Thu Oct 25 03:31:31 2018 lanczos halted after 344491 iterations (dim = 21783917)
  202. Thu Oct 25 03:32:00 2018 recovered 34 nontrivial dependencies
  203. Thu Oct 25 03:32:01 2018 BLanczosTime: 1085160
  204. Thu Oct 25 03:32:01 2018 elapsed time 301:26:01
  205. Thu Oct 25 06:10:40 2018
  206. Thu Oct 25 06:10:40 2018
  207. Thu Oct 25 06:10:40 2018 Msieve v. 1.54 (SVN 1025)
  208. Thu Oct 25 06:10:40 2018 random seeds: 57938f5a 0e1e62d1
  209. Thu Oct 25 06:10:40 2018 factoring 25503431421917993101321887118006938878378655964476437605074260560152721672529861314581467042556964110748403572526947437910470022455618855395879515986932272093603127760772643420867362459955421459731663 (200 digits)
  210. Thu Oct 25 06:10:40 2018 searching for 15-digit factors
  211. Thu Oct 25 06:10:41 2018 commencing number field sieve (200-digit input)
  212. Thu Oct 25 06:10:41 2018 R0: 11335347337562584746201140717669233213
  213. Thu Oct 25 06:10:41 2018 R1: -1
  214. Thu Oct 25 06:10:41 2018 A0: -1
  215. Thu Oct 25 06:10:41 2018 A1: 0
  216. Thu Oct 25 06:10:41 2018 A2: 0
  217. Thu Oct 25 06:10:41 2018 A3: 0
  218. Thu Oct 25 06:10:41 2018 A4: 0
  219. Thu Oct 25 06:10:41 2018 A5: 0
  220. Thu Oct 25 06:10:41 2018 A6: 2246354414917
  221. Thu Oct 25 06:10:41 2018 skew 0.01, size 5.722e-13, alpha 1.932, combined = 8.404e-14 rroots = 2
  222. Thu Oct 25 06:10:41 2018
  223. Thu Oct 25 06:10:41 2018 commencing square root phase
  224. Thu Oct 25 06:10:41 2018 reading relations for dependency 1
  225. Thu Oct 25 06:10:49 2018 read 10890509 cycles
  226. Thu Oct 25 06:11:06 2018 cycles contain 36393028 unique relations
  227. Thu Oct 25 06:16:01 2018 read 36393028 relations
  228. Thu Oct 25 06:18:08 2018 multiplying 36393028 relations
  229. Thu Oct 25 07:23:42 2018 multiply complete, coefficients have about 2301.20 million bits
  230. Thu Oct 25 07:23:48 2018 initial square root is modulo 145213
  231. Thu Oct 25 08:33:52 2018 sqrtTime: 8591
  232. Thu Oct 25 08:33:52 2018 p89 factor: 43425394610785293412025094953776808147995769514527514115292043640427823593411864055236653
  233. Thu Oct 25 08:33:52 2018 p111 factor: 587293026361673302864473029428187837919141412961674063501417446348387412474988810197944387273865580336449688171
  234. Thu Oct 25 08:33:52 2018 elapsed time 02:23:12
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