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Aug 23rd, 2020
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  1. Fri Aug 7 17:18:39 2020
  2. Fri Aug 7 17:18:39 2020
  3. Fri Aug 7 17:18:39 2020 Msieve v. 1.54 (SVN 1025)
  4. Fri Aug 7 17:18:39 2020 random seeds: 0c67aec8 6f98532e
  5. Fri Aug 7 17:18:39 2020 factoring 12521171345609294878689190127034539440394210320285407133193304811678465196435899939322045655185010983643575203003836557592141379357046670343100602680823239672379469854954775622399108831849167482584946696039493918506810374507619541 (230 digits)
  6. Fri Aug 7 17:18:40 2020 searching for 15-digit factors
  7. Fri Aug 7 17:18:41 2020 commencing number field sieve (230-digit input)
  8. Fri Aug 7 17:18:41 2020 R0: 1881097211640173210794130558700699603010483774072155870217
  9. Fri Aug 7 17:18:41 2020 R1: -1
  10. Fri Aug 7 17:18:41 2020 A0: 1
  11. Fri Aug 7 17:18:41 2020 A1: 1
  12. Fri Aug 7 17:18:41 2020 A2: 1
  13. Fri Aug 7 17:18:41 2020 A3: 1
  14. Fri Aug 7 17:18:41 2020 A4: 1
  15. Fri Aug 7 17:18:41 2020 skew 1.00, size 2.519e-23, alpha 1.694, combined = 6.676e-14 rroots = 0
  16. Fri Aug 7 17:18:41 2020
  17. Fri Aug 7 17:18:41 2020 commencing relation filtering
  18. Fri Aug 7 17:18:41 2020 setting max relations to 336000000
  19. Fri Aug 7 17:18:41 2020 setting target matrix density to 132.0
  20. Fri Aug 7 17:18:41 2020 estimated available RAM is 16007.4 MB
  21. Fri Aug 7 17:18:41 2020 commencing duplicate removal, pass 1
  22. Fri Aug 7 17:19:34 2020 error -1 reading relation 7860782
  23. Fri Aug 7 17:19:34 2020 error -1 reading relation 7860783
  24. Fri Aug 7 17:19:34 2020 error -1 reading relation 7860784
  25. Fri Aug 7 17:19:59 2020 error -1 reading relation 11476279
  26. Fri Aug 7 17:21:34 2020 error -1 reading relation 25571145
  27. Fri Aug 7 17:21:34 2020 error -1 reading relation 25571146
  28. Fri Aug 7 17:21:34 2020 error -1 reading relation 25571147
  29. Fri Aug 7 17:26:38 2020 error -1 reading relation 70420868
  30. Fri Aug 7 17:27:29 2020 error -1 reading relation 77932193
  31. Fri Aug 7 17:27:29 2020 error -1 reading relation 77932194
  32. Fri Aug 7 17:27:29 2020 error -1 reading relation 77932195
  33. Fri Aug 7 17:32:06 2020 error -15 reading relation 118854777
  34. Fri Aug 7 17:32:36 2020 error -1 reading relation 123318494
  35. Fri Aug 7 17:34:20 2020 error -1 reading relation 138563036
  36. Fri Aug 7 17:34:20 2020 error -1 reading relation 138563037
  37. Fri Aug 7 17:34:25 2020 error -1 reading relation 139326840
  38. Fri Aug 7 17:36:44 2020 error -1 reading relation 159786140
  39. Fri Aug 7 17:40:18 2020 error -1 reading relation 191359435
  40. Fri Aug 7 17:42:00 2020 error -1 reading relation 206307309
  41. Fri Aug 7 17:43:36 2020 error -1 reading relation 220443370
  42. Fri Aug 7 17:43:36 2020 error -1 reading relation 220443371
  43. Fri Aug 7 17:43:36 2020 error -1 reading relation 220443372
  44. Fri Aug 7 17:47:30 2020 error -1 reading relation 254825135
  45. Fri Aug 7 17:47:32 2020 error -1 reading relation 255039683
  46. Fri Aug 7 17:48:23 2020 error -1 reading relation 262522869
  47. Fri Aug 7 17:49:41 2020 error -15 reading relation 273912837
  48. Fri Aug 7 17:53:04 2020 error -15 reading relation 303672279
  49. Fri Aug 7 17:56:45 2020 skipped 2503 relations with b > 2^32
  50. Fri Aug 7 17:56:45 2020 skipped 3 relations with composite factors
  51. Fri Aug 7 17:56:45 2020 found 23742075 hash collisions in 335997467 relations
  52. Fri Aug 7 17:56:45 2020 commencing duplicate removal, pass 2
  53. Fri Aug 7 17:58:22 2020 found 0 duplicates and 335997467 unique relations
  54. Fri Aug 7 17:58:22 2020 memory use: 1257.5 MB
  55. Fri Aug 7 17:58:22 2020 reading ideals above 299827200
  56. Fri Aug 7 17:58:22 2020 commencing singleton removal, initial pass
  57. Fri Aug 7 18:25:56 2020 memory use: 6024.0 MB
  58. Fri Aug 7 18:25:57 2020 reading all ideals from disk
  59. Fri Aug 7 18:26:12 2020 memory use: 5912.7 MB
  60. Fri Aug 7 18:26:23 2020 commencing in-memory singleton removal
  61. Fri Aug 7 18:26:34 2020 begin with 335997467 relations and 291804495 unique ideals
  62. Fri Aug 7 18:28:58 2020 reduce to 201601512 relations and 141999510 ideals in 16 passes
  63. Fri Aug 7 18:28:58 2020 max relations containing the same ideal: 46
  64. Fri Aug 7 18:29:07 2020 reading ideals above 720000
  65. Fri Aug 7 18:29:07 2020 commencing singleton removal, initial pass
  66. Fri Aug 7 18:50:23 2020 memory use: 5512.0 MB
  67. Fri Aug 7 18:50:23 2020 reading large ideals from disk
  68. Fri Aug 7 18:51:43 2020 keeping 157337078 ideals with weight <= 20, target excess is 17118784
  69. Fri Aug 7 18:53:04 2020 memory use: 5222.7 MB
  70. Fri Aug 7 18:53:04 2020 commencing in-memory singleton removal
  71. Fri Aug 7 18:53:10 2020 begin with 201601512 relations and 157337078 unique ideals
  72. Fri Aug 7 18:54:37 2020 reduce to 201287344 relations and 157022831 ideals in 11 passes
  73. Fri Aug 7 18:54:37 2020 max relations containing the same ideal: 20
  74. Fri Aug 7 18:55:22 2020 removing 13842011 relations and 11842011 ideals in 2000000 cliques
  75. Fri Aug 7 18:55:26 2020 commencing in-memory singleton removal
  76. Fri Aug 7 18:55:32 2020 begin with 187445333 relations and 157022831 unique ideals
  77. Fri Aug 7 18:56:39 2020 reduce to 186571398 relations and 144294608 ideals in 9 passes
  78. Fri Aug 7 18:56:39 2020 max relations containing the same ideal: 20
  79. Fri Aug 7 18:57:21 2020 removing 10373090 relations and 8373090 ideals in 2000000 cliques
  80. Fri Aug 7 18:57:25 2020 commencing in-memory singleton removal
  81. Fri Aug 7 18:57:30 2020 begin with 176198308 relations and 144294608 unique ideals
  82. Fri Aug 7 18:58:24 2020 reduce to 175636945 relations and 135353470 ideals in 8 passes
  83. Fri Aug 7 18:58:24 2020 max relations containing the same ideal: 20
  84. Fri Aug 7 18:59:04 2020 removing 9320657 relations and 7320657 ideals in 2000000 cliques
  85. Fri Aug 7 18:59:07 2020 commencing in-memory singleton removal
  86. Fri Aug 7 18:59:12 2020 begin with 166316288 relations and 135353470 unique ideals
  87. Fri Aug 7 19:00:02 2020 reduce to 165829377 relations and 127540160 ideals in 8 passes
  88. Fri Aug 7 19:00:02 2020 max relations containing the same ideal: 20
  89. Fri Aug 7 19:00:39 2020 removing 8780374 relations and 6780374 ideals in 2000000 cliques
  90. Fri Aug 7 19:00:43 2020 commencing in-memory singleton removal
  91. Fri Aug 7 19:00:47 2020 begin with 157049003 relations and 127540160 unique ideals
  92. Fri Aug 7 19:01:34 2020 reduce to 156590557 relations and 120295799 ideals in 8 passes
  93. Fri Aug 7 19:01:34 2020 max relations containing the same ideal: 20
  94. Fri Aug 7 19:02:09 2020 removing 8435579 relations and 6435579 ideals in 2000000 cliques
  95. Fri Aug 7 19:02:12 2020 commencing in-memory singleton removal
  96. Fri Aug 7 19:02:17 2020 begin with 148154978 relations and 120295799 unique ideals
  97. Fri Aug 7 19:02:55 2020 reduce to 147702618 relations and 113402221 ideals in 7 passes
  98. Fri Aug 7 19:02:55 2020 max relations containing the same ideal: 20
  99. Fri Aug 7 19:03:29 2020 removing 8201962 relations and 6201962 ideals in 2000000 cliques
  100. Fri Aug 7 19:03:31 2020 commencing in-memory singleton removal
  101. Fri Aug 7 19:03:35 2020 begin with 139500656 relations and 113402221 unique ideals
  102. Fri Aug 7 19:04:16 2020 reduce to 139043667 relations and 106737418 ideals in 8 passes
  103. Fri Aug 7 19:04:16 2020 max relations containing the same ideal: 20
  104. Fri Aug 7 19:04:48 2020 removing 8073791 relations and 6073791 ideals in 2000000 cliques
  105. Fri Aug 7 19:04:51 2020 commencing in-memory singleton removal
  106. Fri Aug 7 19:04:54 2020 begin with 130969876 relations and 106737418 unique ideals
  107. Fri Aug 7 19:05:32 2020 reduce to 130505632 relations and 100193154 ideals in 8 passes
  108. Fri Aug 7 19:05:32 2020 max relations containing the same ideal: 20
  109. Fri Aug 7 19:06:02 2020 removing 7985439 relations and 5985439 ideals in 2000000 cliques
  110. Fri Aug 7 19:06:05 2020 commencing in-memory singleton removal
  111. Fri Aug 7 19:06:08 2020 begin with 122520193 relations and 100193154 unique ideals
  112. Fri Aug 7 19:06:44 2020 reduce to 122034901 relations and 93715457 ideals in 8 passes
  113. Fri Aug 7 19:06:44 2020 max relations containing the same ideal: 20
  114. Fri Aug 7 19:07:12 2020 removing 7961394 relations and 5961394 ideals in 2000000 cliques
  115. Fri Aug 7 19:07:15 2020 commencing in-memory singleton removal
  116. Fri Aug 7 19:07:18 2020 begin with 114073507 relations and 93715457 unique ideals
  117. Fri Aug 7 19:07:50 2020 reduce to 113568110 relations and 87241068 ideals in 8 passes
  118. Fri Aug 7 19:07:50 2020 max relations containing the same ideal: 20
  119. Fri Aug 7 19:08:16 2020 removing 7923578 relations and 5923578 ideals in 2000000 cliques
  120. Fri Aug 7 19:08:19 2020 commencing in-memory singleton removal
  121. Fri Aug 7 19:08:22 2020 begin with 105644532 relations and 87241068 unique ideals
  122. Fri Aug 7 19:08:55 2020 reduce to 105097604 relations and 80761689 ideals in 9 passes
  123. Fri Aug 7 19:08:55 2020 max relations containing the same ideal: 20
  124. Fri Aug 7 19:09:20 2020 removing 7919219 relations and 5919219 ideals in 2000000 cliques
  125. Fri Aug 7 19:09:22 2020 commencing in-memory singleton removal
  126. Fri Aug 7 19:09:25 2020 begin with 97178385 relations and 80761689 unique ideals
  127. Fri Aug 7 19:10:05 2020 reduce to 96570346 relations and 74223833 ideals in 12 passes
  128. Fri Aug 7 19:10:05 2020 max relations containing the same ideal: 20
  129. Fri Aug 7 19:10:27 2020 removing 7992823 relations and 5992823 ideals in 2000000 cliques
  130. Fri Aug 7 19:10:30 2020 commencing in-memory singleton removal
  131. Fri Aug 7 19:10:32 2020 begin with 88577523 relations and 74223833 unique ideals
  132. Fri Aug 7 19:10:59 2020 reduce to 87910411 relations and 67551337 ideals in 9 passes
  133. Fri Aug 7 19:10:59 2020 max relations containing the same ideal: 20
  134. Fri Aug 7 19:11:19 2020 removing 2605289 relations and 2104005 ideals in 501284 cliques
  135. Fri Aug 7 19:11:21 2020 commencing in-memory singleton removal
  136. Fri Aug 7 19:11:23 2020 begin with 85305122 relations and 67551337 unique ideals
  137. Fri Aug 7 19:11:43 2020 reduce to 85236033 relations and 65377851 ideals in 7 passes
  138. Fri Aug 7 19:11:43 2020 max relations containing the same ideal: 20
  139. Fri Aug 7 19:12:07 2020 relations with 0 large ideals: 2987605
  140. Fri Aug 7 19:12:07 2020 relations with 1 large ideals: 14694127
  141. Fri Aug 7 19:12:07 2020 relations with 2 large ideals: 27634657
  142. Fri Aug 7 19:12:07 2020 relations with 3 large ideals: 25275563
  143. Fri Aug 7 19:12:07 2020 relations with 4 large ideals: 11690111
  144. Fri Aug 7 19:12:07 2020 relations with 5 large ideals: 2651697
  145. Fri Aug 7 19:12:07 2020 relations with 6 large ideals: 286437
  146. Fri Aug 7 19:12:07 2020 relations with 7+ large ideals: 15836
  147. Fri Aug 7 19:12:07 2020 commencing 2-way merge
  148. Fri Aug 7 19:12:33 2020 reduce to 52137206 relation sets and 32279024 unique ideals
  149. Fri Aug 7 19:12:33 2020 commencing full merge
  150. Fri Aug 7 19:17:34 2020 memory use: 2592.3 MB
  151. Fri Aug 7 19:17:37 2020 found 21441713 cycles, need 20151224
  152. Fri Aug 7 19:17:42 2020 weight of 20151224 cycles is about 2547873318 (126.44/cycle)
  153. Fri Aug 7 19:17:42 2020 distribution of cycle lengths:
  154. Fri Aug 7 19:17:42 2020 1 relations: 3009370
  155. Fri Aug 7 19:17:42 2020 2 relations: 1450677
  156. Fri Aug 7 19:17:42 2020 3 relations: 1210058
  157. Fri Aug 7 19:17:42 2020 4 relations: 1092177
  158. Fri Aug 7 19:17:42 2020 5 relations: 1041556
  159. Fri Aug 7 19:17:42 2020 6 relations: 991885
  160. Fri Aug 7 19:17:42 2020 7 relations: 961156
  161. Fri Aug 7 19:17:42 2020 8 relations: 926032
  162. Fri Aug 7 19:17:42 2020 9 relations: 895196
  163. Fri Aug 7 19:17:42 2020 10+ relations: 8573117
  164. Fri Aug 7 19:17:42 2020 heaviest cycle: 27 relations
  165. Fri Aug 7 19:17:43 2020 commencing cycle optimization
  166. Fri Aug 7 19:18:15 2020 start with 180262752 relations
  167. Fri Aug 7 19:23:42 2020 pruned 12226724 relations
  168. Fri Aug 7 19:23:42 2020 memory use: 4758.8 MB
  169. Fri Aug 7 19:23:42 2020 distribution of cycle lengths:
  170. Fri Aug 7 19:23:42 2020 1 relations: 3009370
  171. Fri Aug 7 19:23:42 2020 2 relations: 1506300
  172. Fri Aug 7 19:23:42 2020 3 relations: 1278882
  173. Fri Aug 7 19:23:42 2020 4 relations: 1157630
  174. Fri Aug 7 19:23:42 2020 5 relations: 1118452
  175. Fri Aug 7 19:23:42 2020 6 relations: 1069509
  176. Fri Aug 7 19:23:42 2020 7 relations: 1045011
  177. Fri Aug 7 19:23:42 2020 8 relations: 1009183
  178. Fri Aug 7 19:23:42 2020 9 relations: 979037
  179. Fri Aug 7 19:23:42 2020 10+ relations: 7977850
  180. Fri Aug 7 19:23:42 2020 heaviest cycle: 26 relations
  181. Fri Aug 7 19:23:57 2020 RelProcTime: 7516
  182. Fri Aug 7 19:23:57 2020
  183. Fri Aug 7 19:23:57 2020 commencing linear algebra
  184. Fri Aug 7 19:24:21 2020 read 20151224 cycles
  185. Fri Aug 7 19:24:57 2020 cycles contain 72998906 unique relations
  186. Fri Aug 7 19:30:28 2020 read 72998906 relations
  187. Fri Aug 7 19:32:23 2020 using 20 quadratic characters above 4294917295
  188. Fri Aug 7 19:36:59 2020 building initial matrix
  189. Fri Aug 7 19:48:23 2020 memory use: 8862.0 MB
  190. Fri Aug 7 19:48:40 2020 read 20151224 cycles
  191. Fri Aug 7 19:48:43 2020 matrix is 20150653 x 20151224 (9460.7 MB) with weight 2689973483 (133.49/col)
  192. Fri Aug 7 19:48:43 2020 sparse part has weight 2258391794 (112.07/col)
  193. Fri Aug 7 19:55:34 2020 filtering completed in 3 passes
  194. Fri Aug 7 19:55:37 2020 matrix is 20136979 x 20137179 (9456.6 MB) with weight 2688746902 (133.52/col)
  195. Fri Aug 7 19:55:37 2020 sparse part has weight 2257492227 (112.11/col)
  196. Fri Aug 7 19:57:02 2020 matrix starts at (0, 0)
  197. Fri Aug 7 19:57:04 2020 matrix is 20136979 x 20137179 (9456.6 MB) with weight 2688746902 (133.52/col)
  198. Fri Aug 7 19:57:04 2020 sparse part has weight 2257492227 (112.11/col)
  199. Fri Aug 7 19:57:04 2020 saving the first 48 matrix rows for later
  200. Fri Aug 7 19:57:08 2020 matrix includes 64 packed rows
  201. Fri Aug 7 19:57:10 2020 matrix is 20136931 x 20137179 (9065.6 MB) with weight 2320828434 (115.25/col)
  202. Fri Aug 7 19:57:10 2020 sparse part has weight 2175131074 (108.02/col)
  203. Fri Aug 7 19:57:11 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  204. Fri Aug 7 19:58:26 2020 commencing Lanczos iteration (4 threads)
  205. Fri Aug 7 19:58:26 2020 memory use: 8734.4 MB
  206. Fri Aug 7 20:00:23 2020 linear algebra at 0.0%, ETA 412h 8m
  207. Fri Aug 7 20:01:00 2020 checkpointing every 50000 dimensions
  208. Sun Aug 23 03:33:55 2020 lanczos halted after 318445 iterations (dim = 20136929)
  209. Sun Aug 23 03:34:32 2020 recovered 36 nontrivial dependencies
  210. Sun Aug 23 03:34:32 2020 BLanczosTime: 1325435
  211. Sun Aug 23 03:34:32 2020
  212. Sun Aug 23 03:34:32 2020 commencing square root phase
  213. Sun Aug 23 03:34:32 2020 handling dependencies 1 to 64
  214. Sun Aug 23 03:34:32 2020 reading relations for dependency 1
  215. Sun Aug 23 03:34:34 2020 read 10064376 cycles
  216. Sun Aug 23 03:34:50 2020 cycles contain 36466154 unique relations
  217. Sun Aug 23 03:37:53 2020 read 36466154 relations
  218. Sun Aug 23 03:39:57 2020 multiplying 36466154 relations
  219. Sun Aug 23 03:51:51 2020 multiply complete, coefficients have about 946.56 million bits
  220. Sun Aug 23 03:51:55 2020 initial square root is modulo 310503937
  221. Sun Aug 23 04:06:37 2020 sqrtTime: 1925
  222. Sun Aug 23 04:06:37 2020 p91 factor: 6901329056187236795281842957627456277951158043009512904240924604666680407056176062260646431
  223. Sun Aug 23 04:06:37 2020 p139 factor: 1814313046612914426754635689847662069620937142384548876540487440322785895597184179678219362573813173514586522711476534038255745492868444811
  224. Sun Aug 23 04:06:37 2020 elapsed time 370:47:58
  225.  
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