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May 22nd, 2021
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  1. Wed May 19 10:16:32 2021 Msieve v. 1.54 (SVN 1025)
  2. Wed May 19 10:16:32 2021 random seeds: 52a56aa1 af5f5853
  3. Wed May 19 10:16:32 2021 factoring 1608162141168278209382295467468006268509583346944591758865319368604321619067135497083620747561259985671230153079758291015470663588372535833357454238029902765106261464358241361 (175 digits)
  4. Wed May 19 10:16:32 2021 no P-1/P+1/ECM available, skipping
  5. Wed May 19 10:16:32 2021 commencing number field sieve (175-digit input)
  6. Wed May 19 10:16:32 2021 R0: -17896378056671130297901485986607861
  7. Wed May 19 10:16:32 2021 R1: 2187093388051559
  8. Wed May 19 10:16:32 2021 A0: 3390307832335519923357780641181042277222960
  9. Wed May 19 10:16:32 2021 A1: 890345416167900383634715121513160812
  10. Wed May 19 10:16:32 2021 A2: 23411608074925557846074250834
  11. Wed May 19 10:16:32 2021 A3: -364876890931655074040
  12. Wed May 19 10:16:32 2021 A4: -759099797467
  13. Wed May 19 10:16:32 2021 A5: 876
  14. Wed May 19 10:16:32 2021 skew 158485453.33, size 4.411e-17, alpha -6.050, combined = 1.728e-13 rroots = 5
  15. Wed May 19 10:16:32 2021
  16. Wed May 19 10:16:32 2021 commencing relation filtering
  17. Wed May 19 10:16:32 2021 setting target matrix density to 132.0
  18. Wed May 19 10:16:32 2021 estimated available RAM is 15890.5 MB
  19. Wed May 19 10:16:32 2021 commencing duplicate removal, pass 1
  20. Wed May 19 10:43:45 2021 skipped 138 relations with composite factors
  21. Wed May 19 10:43:45 2021 found 42922627 hash collisions in 232257853 relations
  22. Wed May 19 10:44:07 2021 commencing duplicate removal, pass 2
  23. Wed May 19 10:47:59 2021 found 40475112 duplicates and 191782741 unique relations
  24. Wed May 19 10:47:59 2021 memory use: 1321.5 MB
  25. Wed May 19 10:47:59 2021 reading ideals above 139919360
  26. Wed May 19 10:47:59 2021 commencing singleton removal, initial pass
  27. Wed May 19 11:05:23 2021 memory use: 3012.0 MB
  28. Wed May 19 11:05:23 2021 reading all ideals from disk
  29. Wed May 19 11:05:29 2021 memory use: 3281.3 MB
  30. Wed May 19 11:05:40 2021 commencing in-memory singleton removal
  31. Wed May 19 11:05:51 2021 begin with 191782741 relations and 159210557 unique ideals
  32. Wed May 19 11:07:25 2021 reduce to 124213553 relations and 84753751 ideals in 13 passes
  33. Wed May 19 11:07:25 2021 max relations containing the same ideal: 51
  34. Wed May 19 11:07:35 2021 reading ideals above 720000
  35. Wed May 19 11:07:35 2021 commencing singleton removal, initial pass
  36. Wed May 19 11:23:09 2021 memory use: 2756.0 MB
  37. Wed May 19 11:23:09 2021 reading all ideals from disk
  38. Wed May 19 11:23:20 2021 memory use: 4987.6 MB
  39. Wed May 19 11:23:48 2021 keeping 99901533 ideals with weight <= 200, target excess is 671467
  40. Wed May 19 11:24:07 2021 commencing in-memory singleton removal
  41. Wed May 19 11:24:29 2021 begin with 124213554 relations and 99901533 unique ideals
  42. Wed May 19 11:26:28 2021 reduce to 124205703 relations and 99893682 ideals in 7 passes
  43. Wed May 19 11:26:28 2021 max relations containing the same ideal: 200
  44. Wed May 19 11:27:54 2021 removing 10781885 relations and 8781885 ideals in 2000000 cliques
  45. Wed May 19 11:27:57 2021 commencing in-memory singleton removal
  46. Wed May 19 11:28:18 2021 begin with 113423818 relations and 99893682 unique ideals
  47. Wed May 19 11:30:13 2021 reduce to 112746697 relations and 90421045 ideals in 8 passes
  48. Wed May 19 11:30:13 2021 max relations containing the same ideal: 196
  49. Wed May 19 11:31:02 2021 removing 8213264 relations and 6213264 ideals in 2000000 cliques
  50. Wed May 19 11:31:05 2021 commencing in-memory singleton removal
  51. Wed May 19 11:31:13 2021 begin with 104533433 relations and 90421045 unique ideals
  52. Wed May 19 11:32:24 2021 reduce to 104075636 relations and 83741912 ideals in 8 passes
  53. Wed May 19 11:32:24 2021 max relations containing the same ideal: 187
  54. Wed May 19 11:33:10 2021 removing 7451011 relations and 5451011 ideals in 2000000 cliques
  55. Wed May 19 11:33:12 2021 commencing in-memory singleton removal
  56. Wed May 19 11:33:20 2021 begin with 96624625 relations and 83741912 unique ideals
  57. Wed May 19 11:34:15 2021 reduce to 96216458 relations and 77875457 ideals in 7 passes
  58. Wed May 19 11:34:15 2021 max relations containing the same ideal: 180
  59. Wed May 19 11:34:58 2021 removing 7067944 relations and 5067944 ideals in 2000000 cliques
  60. Wed May 19 11:35:00 2021 commencing in-memory singleton removal
  61. Wed May 19 11:35:08 2021 begin with 89148514 relations and 77875457 unique ideals
  62. Wed May 19 11:36:26 2021 reduce to 88759351 relations and 72411196 ideals in 7 passes
  63. Wed May 19 11:36:26 2021 max relations containing the same ideal: 172
  64. Wed May 19 11:37:27 2021 removing 6836555 relations and 4836555 ideals in 2000000 cliques
  65. Wed May 19 11:37:30 2021 commencing in-memory singleton removal
  66. Wed May 19 11:37:43 2021 begin with 81922796 relations and 72411196 unique ideals
  67. Wed May 19 11:39:09 2021 reduce to 81536562 relations and 67180962 ideals in 8 passes
  68. Wed May 19 11:39:09 2021 max relations containing the same ideal: 164
  69. Wed May 19 11:40:26 2021 removing 6687911 relations and 4687911 ideals in 2000000 cliques
  70. Wed May 19 11:40:30 2021 commencing in-memory singleton removal
  71. Wed May 19 11:40:46 2021 begin with 74848651 relations and 67180962 unique ideals
  72. Wed May 19 11:42:38 2021 reduce to 74456268 relations and 62092455 ideals in 8 passes
  73. Wed May 19 11:42:38 2021 max relations containing the same ideal: 155
  74. Wed May 19 11:43:47 2021 removing 6595700 relations and 4595700 ideals in 2000000 cliques
  75. Wed May 19 11:43:51 2021 commencing in-memory singleton removal
  76. Wed May 19 11:44:05 2021 begin with 67860568 relations and 62092455 unique ideals
  77. Wed May 19 11:45:56 2021 reduce to 67450361 relations and 57077106 ideals in 9 passes
  78. Wed May 19 11:45:56 2021 max relations containing the same ideal: 144
  79. Wed May 19 11:46:59 2021 removing 6537166 relations and 4537166 ideals in 2000000 cliques
  80. Wed May 19 11:47:02 2021 commencing in-memory singleton removal
  81. Wed May 19 11:47:15 2021 begin with 60913195 relations and 57077106 unique ideals
  82. Wed May 19 11:48:32 2021 reduce to 60478263 relations and 52094075 ideals in 7 passes
  83. Wed May 19 11:48:32 2021 max relations containing the same ideal: 134
  84. Wed May 19 11:49:28 2021 removing 6512177 relations and 4512177 ideals in 2000000 cliques
  85. Wed May 19 11:49:31 2021 commencing in-memory singleton removal
  86. Wed May 19 11:49:42 2021 begin with 53966086 relations and 52094075 unique ideals
  87. Wed May 19 11:50:50 2021 reduce to 53491643 relations and 47094373 ideals in 7 passes
  88. Wed May 19 11:50:50 2021 max relations containing the same ideal: 120
  89. Wed May 19 11:51:38 2021 removing 6508865 relations and 4508865 ideals in 2000000 cliques
  90. Wed May 19 11:51:41 2021 commencing in-memory singleton removal
  91. Wed May 19 11:51:51 2021 begin with 46982778 relations and 47094373 unique ideals
  92. Wed May 19 11:52:48 2021 reduce to 46450882 relations and 42037229 ideals in 7 passes
  93. Wed May 19 11:52:48 2021 max relations containing the same ideal: 111
  94. Wed May 19 11:53:29 2021 removing 6534026 relations and 4534026 ideals in 2000000 cliques
  95. Wed May 19 11:53:32 2021 commencing in-memory singleton removal
  96. Wed May 19 11:53:40 2021 begin with 39916856 relations and 42037229 unique ideals
  97. Wed May 19 11:54:43 2021 reduce to 39302455 relations and 36866805 ideals in 9 passes
  98. Wed May 19 11:54:43 2021 max relations containing the same ideal: 97
  99. Wed May 19 11:55:19 2021 removing 5656907 relations and 4000159 ideals in 1656748 cliques
  100. Wed May 19 11:55:22 2021 commencing in-memory singleton removal
  101. Wed May 19 11:55:29 2021 begin with 33645548 relations and 36866805 unique ideals
  102. Wed May 19 11:56:18 2021 reduce to 33100994 relations and 32302710 ideals in 9 passes
  103. Wed May 19 11:56:18 2021 max relations containing the same ideal: 87
  104. Wed May 19 11:56:49 2021 removing 137812 relations and 118430 ideals in 19382 cliques
  105. Wed May 19 11:56:51 2021 commencing in-memory singleton removal
  106. Wed May 19 11:56:57 2021 begin with 32963182 relations and 32302710 unique ideals
  107. Wed May 19 11:57:19 2021 reduce to 32962892 relations and 32183990 ideals in 4 passes
  108. Wed May 19 11:57:19 2021 max relations containing the same ideal: 87
  109. Wed May 19 11:57:31 2021 relations with 0 large ideals: 2207
  110. Wed May 19 11:57:31 2021 relations with 1 large ideals: 6682
  111. Wed May 19 11:57:31 2021 relations with 2 large ideals: 101783
  112. Wed May 19 11:57:31 2021 relations with 3 large ideals: 725336
  113. Wed May 19 11:57:31 2021 relations with 4 large ideals: 2767866
  114. Wed May 19 11:57:31 2021 relations with 5 large ideals: 6247180
  115. Wed May 19 11:57:31 2021 relations with 6 large ideals: 8848101
  116. Wed May 19 11:57:31 2021 relations with 7+ large ideals: 14263737
  117. Wed May 19 11:57:31 2021 commencing 2-way merge
  118. Wed May 19 11:58:08 2021 reduce to 21308186 relation sets and 20529284 unique ideals
  119. Wed May 19 11:58:08 2021 commencing full merge
  120. Wed May 19 12:09:41 2021 memory use: 2736.3 MB
  121. Wed May 19 12:09:44 2021 found 9572957 cycles, need 9539484
  122. Wed May 19 12:09:48 2021 weight of 9539484 cycles is about 1259556885 (132.04/cycle)
  123. Wed May 19 12:09:49 2021 distribution of cycle lengths:
  124. Wed May 19 12:09:49 2021 1 relations: 293247
  125. Wed May 19 12:09:49 2021 2 relations: 530171
  126. Wed May 19 12:09:49 2021 3 relations: 642305
  127. Wed May 19 12:09:49 2021 4 relations: 675988
  128. Wed May 19 12:09:49 2021 5 relations: 708266
  129. Wed May 19 12:09:49 2021 6 relations: 711741
  130. Wed May 19 12:09:49 2021 7 relations: 701744
  131. Wed May 19 12:09:49 2021 8 relations: 679965
  132. Wed May 19 12:09:49 2021 9 relations: 638900
  133. Wed May 19 12:09:49 2021 10+ relations: 3957157
  134. Wed May 19 12:09:49 2021 heaviest cycle: 28 relations
  135. Wed May 19 12:09:52 2021 commencing cycle optimization
  136. Wed May 19 12:10:20 2021 start with 86939872 relations
  137. Wed May 19 12:14:38 2021 pruned 4359146 relations
  138. Wed May 19 12:14:39 2021 memory use: 2262.5 MB
  139. Wed May 19 12:14:39 2021 distribution of cycle lengths:
  140. Wed May 19 12:14:39 2021 1 relations: 293247
  141. Wed May 19 12:14:39 2021 2 relations: 545335
  142. Wed May 19 12:14:39 2021 3 relations: 672800
  143. Wed May 19 12:14:39 2021 4 relations: 707380
  144. Wed May 19 12:14:39 2021 5 relations: 748435
  145. Wed May 19 12:14:39 2021 6 relations: 750128
  146. Wed May 19 12:14:39 2021 7 relations: 744195
  147. Wed May 19 12:14:39 2021 8 relations: 715785
  148. Wed May 19 12:14:39 2021 9 relations: 672763
  149. Wed May 19 12:14:39 2021 10+ relations: 3689416
  150. Wed May 19 12:14:39 2021 heaviest cycle: 28 relations
  151. Wed May 19 12:15:09 2021 RelProcTime: 7117
  152. Wed May 19 12:15:09 2021 elapsed time 01:58:37
  153. Wed May 19 16:21:33 2021
  154. Wed May 19 16:21:33 2021
  155. Wed May 19 16:21:33 2021 Msieve v. 1.52 (SVN exported)
  156. Wed May 19 16:21:33 2021 random seeds: da753365 0cbe36d4
  157. Wed May 19 16:21:33 2021 factoring 1608162141168278209382295467468006268509583346944591758865319368604321619067135497083620747561259985671230153079758291015470663588372535833357454238029902765106261464358241361 (175 digits)
  158. Wed May 19 16:21:34 2021 searching for 15-digit factors
  159. Wed May 19 16:21:36 2021 commencing number field sieve (175-digit input)
  160. Wed May 19 16:21:36 2021 R0: -17896378056671130297901485986607861
  161. Wed May 19 16:21:36 2021 R1: 2187093388051559
  162. Wed May 19 16:21:36 2021 A0: 3390307832335519923357780641181042277222960
  163. Wed May 19 16:21:36 2021 A1: 890345416167900383634715121513160812
  164. Wed May 19 16:21:36 2021 A2: 23411608074925557846074250834
  165. Wed May 19 16:21:36 2021 A3: -364876890931655074040
  166. Wed May 19 16:21:36 2021 A4: -759099797467
  167. Wed May 19 16:21:36 2021 A5: 876
  168. Wed May 19 16:21:36 2021 skew 158485453.33, size 4.411e-17, alpha -6.050, combined = 1.728e-13 rroots = 5
  169. Wed May 19 16:21:36 2021
  170. Wed May 19 16:21:36 2021 commencing linear algebra
  171. Wed May 19 16:21:36 2021 skipping matrix build
  172. Wed May 19 16:21:57 2021 matrix starts at (0, 0)
  173. Wed May 19 16:22:01 2021 matrix is 9539211 x 9539389 (4840.6 MB) with weight 1459337639 (152.98/col)
  174. Wed May 19 16:22:01 2021 sparse part has weight 1163992578 (122.02/col)
  175. Wed May 19 16:22:01 2021 saving the first 48 matrix rows for later
  176. Wed May 19 16:22:04 2021 matrix includes 64 packed rows
  177. Wed May 19 16:22:06 2021 matrix is 9539163 x 9539389 (4725.1 MB) with weight 1257248257 (131.80/col)
  178. Wed May 19 16:22:06 2021 sparse part has weight 1143261255 (119.85/col)
  179. Wed May 19 16:22:06 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  180. Wed May 19 16:23:18 2021 commencing Lanczos iteration (8 threads)
  181. Wed May 19 16:23:18 2021 memory use: 3970.2 MB
  182. Wed May 19 16:24:04 2021 linear algebra at 0.0%, ETA 76h23m
  183. Wed May 19 16:24:20 2021 checkpointing every 130000 dimensions
  184. Sat May 22 14:51:36 2021 lanczos halted after 150855 iterations (dim = 9539162)
  185. Sat May 22 14:51:51 2021 recovered 29 nontrivial dependencies
  186. Sat May 22 14:51:52 2021 BLanczosTime: 253816
  187. Sat May 22 14:51:52 2021 elapsed time 70:30:19
  188. Sat May 22 19:43:36 2021
  189. Sat May 22 19:43:36 2021
  190. Sat May 22 19:43:36 2021 Msieve v. 1.54 (SVN 1025)
  191. Sat May 22 19:43:36 2021 random seeds: 3541305d ff4fc3bb
  192. Sat May 22 19:43:36 2021 factoring 1608162141168278209382295467468006268509583346944591758865319368604321619067135497083620747561259985671230153079758291015470663588372535833357454238029902765106261464358241361 (175 digits)
  193. Sat May 22 19:43:37 2021 no P-1/P+1/ECM available, skipping
  194. Sat May 22 19:43:37 2021 commencing number field sieve (175-digit input)
  195. Sat May 22 19:43:37 2021 R0: -17896378056671130297901485986607861
  196. Sat May 22 19:43:37 2021 R1: 2187093388051559
  197. Sat May 22 19:43:37 2021 A0: 3390307832335519923357780641181042277222960
  198. Sat May 22 19:43:37 2021 A1: 890345416167900383634715121513160812
  199. Sat May 22 19:43:37 2021 A2: 23411608074925557846074250834
  200. Sat May 22 19:43:37 2021 A3: -364876890931655074040
  201. Sat May 22 19:43:37 2021 A4: -759099797467
  202. Sat May 22 19:43:37 2021 A5: 876
  203. Sat May 22 19:43:37 2021 skew 158485453.33, size 4.411e-17, alpha -6.050, combined = 1.728e-13 rroots = 5
  204. Sat May 22 19:43:37 2021
  205. Sat May 22 19:43:37 2021 commencing relation filtering
  206. Sat May 22 19:43:37 2021 estimated available RAM is 15890.5 MB
  207. Sat May 22 19:43:37 2021 commencing duplicate removal, pass 1
  208. Sat May 22 19:43:43 2021
  209. Sat May 22 19:43:43 2021
  210. Sat May 22 19:43:43 2021 Msieve v. 1.54 (SVN 1025)
  211. Sat May 22 19:43:43 2021 random seeds: b38c868c bb5f53c3
  212. Sat May 22 19:43:43 2021 factoring 1608162141168278209382295467468006268509583346944591758865319368604321619067135497083620747561259985671230153079758291015470663588372535833357454238029902765106261464358241361 (175 digits)
  213. Sat May 22 19:43:44 2021 no P-1/P+1/ECM available, skipping
  214. Sat May 22 19:43:44 2021 commencing number field sieve (175-digit input)
  215. Sat May 22 19:43:44 2021 R0: -17896378056671130297901485986607861
  216. Sat May 22 19:43:44 2021 R1: 2187093388051559
  217. Sat May 22 19:43:44 2021 A0: 3390307832335519923357780641181042277222960
  218. Sat May 22 19:43:44 2021 A1: 890345416167900383634715121513160812
  219. Sat May 22 19:43:44 2021 A2: 23411608074925557846074250834
  220. Sat May 22 19:43:44 2021 A3: -364876890931655074040
  221. Sat May 22 19:43:44 2021 A4: -759099797467
  222. Sat May 22 19:43:44 2021 A5: 876
  223. Sat May 22 19:43:44 2021 skew 158485453.33, size 4.411e-17, alpha -6.050, combined = 1.728e-13 rroots = 5
  224. Sat May 22 19:43:44 2021
  225. Sat May 22 19:43:44 2021 commencing square root phase
  226. Sat May 22 19:43:44 2021 reading relations for dependency 1
  227. Sat May 22 19:43:45 2021 read 4773106 cycles
  228. Sat May 22 19:44:02 2021 cycles contain 16276168 unique relations
  229. Sat May 22 19:50:03 2021 read 16276168 relations
  230. Sat May 22 19:51:59 2021 multiplying 16276168 relations
  231. Sat May 22 20:11:57 2021 multiply complete, coefficients have about 838.68 million bits
  232. Sat May 22 20:12:02 2021 initial square root is modulo 33436639
  233. Sat May 22 20:34:56 2021 GCD is 1, no factor found
  234. Sat May 22 20:34:56 2021 reading relations for dependency 2
  235. Sat May 22 20:34:58 2021 read 4769279 cycles
  236. Sat May 22 20:35:14 2021 cycles contain 16269430 unique relations
  237. Sat May 22 20:41:20 2021 read 16269430 relations
  238. Sat May 22 20:43:15 2021 multiplying 16269430 relations
  239. Sat May 22 21:03:05 2021 multiply complete, coefficients have about 838.33 million bits
  240. Sat May 22 21:03:11 2021 initial square root is modulo 33195977
  241. Sat May 22 21:25:57 2021 GCD is 1, no factor found
  242. Sat May 22 21:25:57 2021 reading relations for dependency 3
  243. Sat May 22 21:25:59 2021 read 4768973 cycles
  244. Sat May 22 21:26:16 2021 cycles contain 16269974 unique relations
  245. Sat May 22 21:32:22 2021 read 16269974 relations
  246. Sat May 22 21:34:18 2021 multiplying 16269974 relations
  247. Sat May 22 22:05:20 2021 multiply complete, coefficients have about 838.35 million bits
  248. Sat May 22 22:05:23 2021 initial square root is modulo 33210251
  249. Sat May 22 22:20:05 2021 GCD is 1, no factor found
  250. Sat May 22 22:20:05 2021 reading relations for dependency 4
  251. Sat May 22 22:20:06 2021 read 4772144 cycles
  252. Sat May 22 22:20:18 2021 cycles contain 16274140 unique relations
  253. Sat May 22 22:24:09 2021 read 16274140 relations
  254. Sat May 22 22:25:39 2021 multiplying 16274140 relations
  255. Sat May 22 22:38:25 2021 multiply complete, coefficients have about 838.58 million bits
  256. Sat May 22 22:38:28 2021 initial square root is modulo 33366271
  257. Sat May 22 22:53:10 2021 sqrtTime: 11366
  258. Sat May 22 22:53:10 2021 p62 factor: 14421537544056298686146933356545946258457874138309933406130561
  259. Sat May 22 22:53:10 2021 p114 factor: 111511143403087914085588386342588346925619930508023325404827514206618689031513006566166111816419080923271828142801
  260. Sat May 22 22:53:10 2021 elapsed time 03:09:27
  261.  
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