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4p3_424

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Dec 13th, 2020 (edited)
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  1. Sat Dec 12 09:38:10 2020
  2. Sat Dec 12 09:38:10 2020
  3. Sat Dec 12 09:38:10 2020 Msieve v. 1.53 (SVN 988M)
  4. Sat Dec 12 09:38:10 2020 random seeds: 0a9364a0 42ae6bd9
  5. Sat Dec 12 09:38:10 2020 factoring 80009965888719671833233581906326142664962366543333994985183504276125326148593973556213666284071140348423756172843880699514133711161492474801977496474646020526749741848576490367620408906455209421692274051941330044560163395607283853946561 (236 digits)
  6. Sat Dec 12 09:38:11 2020 searching for 15-digit factors
  7. Sat Dec 12 09:38:13 2020 commencing number field sieve (236-digit input)
  8. Sat Dec 12 09:38:13 2020 R0: 2787593149816327892691964784081045188247552
  9. Sat Dec 12 09:38:13 2020 R1: -7509466514979724803946715958257547
  10. Sat Dec 12 09:38:13 2020 A0: 1
  11. Sat Dec 12 09:38:13 2020 A1: 0
  12. Sat Dec 12 09:38:13 2020 A2: 0
  13. Sat Dec 12 09:38:13 2020 A3: 0
  14. Sat Dec 12 09:38:13 2020 A4: 0
  15. Sat Dec 12 09:38:13 2020 A5: 0
  16. Sat Dec 12 09:38:13 2020 A6: 36
  17. Sat Dec 12 09:38:13 2020 skew 0.55, size 1.241e-12, alpha 0.954, combined = 1.369e-13 rroots = 0
  18. Sat Dec 12 09:38:13 2020
  19. Sat Dec 12 09:38:13 2020 commencing relation filtering
  20. Sat Dec 12 09:38:13 2020 setting target matrix density to 130.0
  21. Sat Dec 12 09:38:13 2020 estimated available RAM is 32768.0 MB
  22. Sat Dec 12 09:38:13 2020 commencing duplicate removal, pass 1
  23. Sat Dec 12 09:39:21 2020 error -11 reading relation 9235540
  24. Sat Dec 12 09:42:34 2020 error -15 reading relation 35712178
  25. Sat Dec 12 09:49:55 2020 error -15 reading relation 95674078
  26. Sat Dec 12 09:54:53 2020 error -15 reading relation 136121266
  27. Sat Dec 12 10:03:28 2020 skipped 1618 relations with b > 2^32
  28. Sat Dec 12 10:03:28 2020 skipped 3 relations with composite factors
  29. Sat Dec 12 10:03:28 2020 found 9262084 hash collisions in 205738444 relations
  30. Sat Dec 12 10:03:41 2020 added 1218686 free relations
  31. Sat Dec 12 10:03:41 2020 commencing duplicate removal, pass 2
  32. Sat Dec 12 10:12:18 2020 found 0 duplicates and 206957130 unique relations
  33. Sat Dec 12 10:12:18 2020 memory use: 522.4 MB
  34. Sat Dec 12 10:12:18 2020 reading ideals above 159842304
  35. Sat Dec 12 10:12:18 2020 commencing singleton removal, initial pass
  36. Sat Dec 12 10:31:42 2020 memory use: 3012.0 MB
  37. Sat Dec 12 10:31:43 2020 reading all ideals from disk
  38. Sat Dec 12 10:33:03 2020 memory use: 3498.9 MB
  39. Sat Dec 12 10:33:11 2020 commencing in-memory singleton removal
  40. Sat Dec 12 10:33:18 2020 begin with 206957130 relations and 162215540 unique ideals
  41. Sat Dec 12 10:34:51 2020 reduce to 144723431 relations and 94461531 ideals in 13 passes
  42. Sat Dec 12 10:34:51 2020 max relations containing the same ideal: 45
  43. Sat Dec 12 10:35:08 2020 reading ideals above 720000
  44. Sat Dec 12 10:35:08 2020 commencing singleton removal, initial pass
  45. Sat Dec 12 10:54:11 2020 memory use: 3012.0 MB
  46. Sat Dec 12 10:54:12 2020 reading all ideals from disk
  47. Sat Dec 12 10:56:28 2020 memory use: 5896.2 MB
  48. Sat Dec 12 10:56:45 2020 keeping 111603220 ideals with weight <= 200, target excess is 789351
  49. Sat Dec 12 10:57:01 2020 commencing in-memory singleton removal
  50. Sat Dec 12 10:57:13 2020 begin with 144723431 relations and 111603220 unique ideals
  51. Sat Dec 12 10:58:53 2020 reduce to 144719947 relations and 111599736 ideals in 8 passes
  52. Sat Dec 12 10:58:53 2020 max relations containing the same ideal: 200
  53. Sat Dec 12 10:59:53 2020 removing 10081410 relations and 8081410 ideals in 2000000 cliques
  54. Sat Dec 12 10:59:57 2020 commencing in-memory singleton removal
  55. Sat Dec 12 11:00:07 2020 begin with 134638537 relations and 111599736 unique ideals
  56. Sat Dec 12 11:01:27 2020 reduce to 134126743 relations and 102997627 ideals in 7 passes
  57. Sat Dec 12 11:01:27 2020 max relations containing the same ideal: 198
  58. Sat Dec 12 11:02:24 2020 removing 7709218 relations and 5709218 ideals in 2000000 cliques
  59. Sat Dec 12 11:02:28 2020 commencing in-memory singleton removal
  60. Sat Dec 12 11:02:37 2020 begin with 126417525 relations and 102997627 unique ideals
  61. Sat Dec 12 11:03:55 2020 reduce to 126073452 relations and 96939110 ideals in 7 passes
  62. Sat Dec 12 11:03:55 2020 max relations containing the same ideal: 192
  63. Sat Dec 12 11:04:48 2020 removing 7007896 relations and 5007896 ideals in 2000000 cliques
  64. Sat Dec 12 11:04:51 2020 commencing in-memory singleton removal
  65. Sat Dec 12 11:05:00 2020 begin with 119065556 relations and 96939110 unique ideals
  66. Sat Dec 12 11:06:02 2020 reduce to 118763459 relations and 91624646 ideals in 6 passes
  67. Sat Dec 12 11:06:02 2020 max relations containing the same ideal: 185
  68. Sat Dec 12 11:06:51 2020 removing 6653575 relations and 4653575 ideals in 2000000 cliques
  69. Sat Dec 12 11:06:55 2020 commencing in-memory singleton removal
  70. Sat Dec 12 11:07:02 2020 begin with 112109884 relations and 91624646 unique ideals
  71. Sat Dec 12 11:08:09 2020 reduce to 111827798 relations and 86684548 ideals in 7 passes
  72. Sat Dec 12 11:08:09 2020 max relations containing the same ideal: 178
  73. Sat Dec 12 11:08:55 2020 removing 6429253 relations and 4429253 ideals in 2000000 cliques
  74. Sat Dec 12 11:08:58 2020 commencing in-memory singleton removal
  75. Sat Dec 12 11:09:06 2020 begin with 105398545 relations and 86684548 unique ideals
  76. Sat Dec 12 11:09:59 2020 reduce to 105126002 relations and 81978332 ideals in 6 passes
  77. Sat Dec 12 11:09:59 2020 max relations containing the same ideal: 173
  78. Sat Dec 12 11:10:45 2020 removing 6277475 relations and 4277475 ideals in 2000000 cliques
  79. Sat Dec 12 11:10:48 2020 commencing in-memory singleton removal
  80. Sat Dec 12 11:10:56 2020 begin with 98848527 relations and 81978332 unique ideals
  81. Sat Dec 12 11:11:55 2020 reduce to 98580594 relations and 77428421 ideals in 7 passes
  82. Sat Dec 12 11:11:55 2020 max relations containing the same ideal: 167
  83. Sat Dec 12 11:12:37 2020 removing 6168224 relations and 4168224 ideals in 2000000 cliques
  84. Sat Dec 12 11:12:40 2020 commencing in-memory singleton removal
  85. Sat Dec 12 11:12:46 2020 begin with 92412370 relations and 77428421 unique ideals
  86. Sat Dec 12 11:13:40 2020 reduce to 92144689 relations and 72987699 ideals in 7 passes
  87. Sat Dec 12 11:13:40 2020 max relations containing the same ideal: 162
  88. Sat Dec 12 11:14:21 2020 removing 6088812 relations and 4088812 ideals in 2000000 cliques
  89. Sat Dec 12 11:14:24 2020 commencing in-memory singleton removal
  90. Sat Dec 12 11:14:30 2020 begin with 86055877 relations and 72987699 unique ideals
  91. Sat Dec 12 11:15:20 2020 reduce to 85782024 relations and 68619670 ideals in 7 passes
  92. Sat Dec 12 11:15:20 2020 max relations containing the same ideal: 153
  93. Sat Dec 12 11:15:57 2020 removing 6029571 relations and 4029571 ideals in 2000000 cliques
  94. Sat Dec 12 11:16:00 2020 commencing in-memory singleton removal
  95. Sat Dec 12 11:16:06 2020 begin with 79752453 relations and 68619670 unique ideals
  96. Sat Dec 12 11:16:52 2020 reduce to 79471127 relations and 64302922 ideals in 7 passes
  97. Sat Dec 12 11:16:52 2020 max relations containing the same ideal: 144
  98. Sat Dec 12 11:17:27 2020 removing 5991238 relations and 3991238 ideals in 2000000 cliques
  99. Sat Dec 12 11:17:29 2020 commencing in-memory singleton removal
  100. Sat Dec 12 11:17:34 2020 begin with 73479889 relations and 64302922 unique ideals
  101. Sat Dec 12 11:18:11 2020 reduce to 73185068 relations and 60010435 ideals in 6 passes
  102. Sat Dec 12 11:18:11 2020 max relations containing the same ideal: 134
  103. Sat Dec 12 11:18:44 2020 removing 5965430 relations and 3965430 ideals in 2000000 cliques
  104. Sat Dec 12 11:18:47 2020 commencing in-memory singleton removal
  105. Sat Dec 12 11:18:51 2020 begin with 67219638 relations and 60010435 unique ideals
  106. Sat Dec 12 11:19:30 2020 reduce to 66907588 relations and 55725615 ideals in 7 passes
  107. Sat Dec 12 11:19:30 2020 max relations containing the same ideal: 126
  108. Sat Dec 12 11:20:00 2020 removing 5954398 relations and 3954398 ideals in 2000000 cliques
  109. Sat Dec 12 11:20:02 2020 commencing in-memory singleton removal
  110. Sat Dec 12 11:20:06 2020 begin with 60953190 relations and 55725615 unique ideals
  111. Sat Dec 12 11:20:40 2020 reduce to 60617365 relations and 51426891 ideals in 7 passes
  112. Sat Dec 12 11:20:40 2020 max relations containing the same ideal: 119
  113. Sat Dec 12 11:21:06 2020 removing 5951827 relations and 3951827 ideals in 2000000 cliques
  114. Sat Dec 12 11:21:08 2020 commencing in-memory singleton removal
  115. Sat Dec 12 11:21:12 2020 begin with 54665538 relations and 51426891 unique ideals
  116. Sat Dec 12 11:21:42 2020 reduce to 54300010 relations and 47099099 ideals in 7 passes
  117. Sat Dec 12 11:21:42 2020 max relations containing the same ideal: 107
  118. Sat Dec 12 11:22:05 2020 removing 5961828 relations and 3961828 ideals in 2000000 cliques
  119. Sat Dec 12 11:22:07 2020 commencing in-memory singleton removal
  120. Sat Dec 12 11:22:10 2020 begin with 48338182 relations and 47099099 unique ideals
  121. Sat Dec 12 11:22:37 2020 reduce to 47931790 relations and 42718480 ideals in 7 passes
  122. Sat Dec 12 11:22:37 2020 max relations containing the same ideal: 99
  123. Sat Dec 12 11:22:57 2020 removing 5985792 relations and 3985792 ideals in 2000000 cliques
  124. Sat Dec 12 11:23:00 2020 commencing in-memory singleton removal
  125. Sat Dec 12 11:23:02 2020 begin with 41945998 relations and 42718480 unique ideals
  126. Sat Dec 12 11:23:24 2020 reduce to 41483832 relations and 38254674 ideals in 7 passes
  127. Sat Dec 12 11:23:24 2020 max relations containing the same ideal: 91
  128. Sat Dec 12 11:23:42 2020 removing 6023534 relations and 4023534 ideals in 2000000 cliques
  129. Sat Dec 12 11:23:44 2020 commencing in-memory singleton removal
  130. Sat Dec 12 11:23:46 2020 begin with 35460298 relations and 38254674 unique ideals
  131. Sat Dec 12 11:24:06 2020 reduce to 34907917 relations and 33656829 ideals in 7 passes
  132. Sat Dec 12 11:24:06 2020 max relations containing the same ideal: 81
  133. Sat Dec 12 11:24:21 2020 removing 1405994 relations and 1070554 ideals in 335440 cliques
  134. Sat Dec 12 11:24:23 2020 commencing in-memory singleton removal
  135. Sat Dec 12 11:24:25 2020 begin with 33501923 relations and 33656829 unique ideals
  136. Sat Dec 12 11:24:41 2020 reduce to 33462625 relations and 32546623 ideals in 6 passes
  137. Sat Dec 12 11:24:41 2020 max relations containing the same ideal: 79
  138. Sat Dec 12 11:25:01 2020 relations with 0 large ideals: 26724
  139. Sat Dec 12 11:25:01 2020 relations with 1 large ideals: 8798
  140. Sat Dec 12 11:25:01 2020 relations with 2 large ideals: 127551
  141. Sat Dec 12 11:25:01 2020 relations with 3 large ideals: 851812
  142. Sat Dec 12 11:25:01 2020 relations with 4 large ideals: 3055283
  143. Sat Dec 12 11:25:01 2020 relations with 5 large ideals: 6523989
  144. Sat Dec 12 11:25:01 2020 relations with 6 large ideals: 8745435
  145. Sat Dec 12 11:25:01 2020 relations with 7+ large ideals: 14123033
  146. Sat Dec 12 11:25:01 2020 commencing 2-way merge
  147. Sat Dec 12 11:25:23 2020 reduce to 22693853 relation sets and 21777851 unique ideals
  148. Sat Dec 12 11:25:23 2020 commencing full merge
  149. Sat Dec 12 11:35:46 2020 memory use: 3019.1 MB
  150. Sat Dec 12 11:35:53 2020 found 10175607 cycles, need 10130051
  151. Sat Dec 12 11:35:53 2020 weight of 10130051 cycles is about 1317122738 (130.02/cycle)
  152. Sat Dec 12 11:35:53 2020 distribution of cycle lengths:
  153. Sat Dec 12 11:35:53 2020 1 relations: 315955
  154. Sat Dec 12 11:35:53 2020 2 relations: 489470
  155. Sat Dec 12 11:35:53 2020 3 relations: 614047
  156. Sat Dec 12 11:35:53 2020 4 relations: 669844
  157. Sat Dec 12 11:35:53 2020 5 relations: 720588
  158. Sat Dec 12 11:35:53 2020 6 relations: 736949
  159. Sat Dec 12 11:35:53 2020 7 relations: 739994
  160. Sat Dec 12 11:35:53 2020 8 relations: 720876
  161. Sat Dec 12 11:35:53 2020 9 relations: 688205
  162. Sat Dec 12 11:35:53 2020 10+ relations: 4434123
  163. Sat Dec 12 11:35:53 2020 heaviest cycle: 28 relations
  164. Sat Dec 12 11:35:58 2020 commencing cycle optimization
  165. Sat Dec 12 11:36:26 2020 start with 95151986 relations
  166. Sat Dec 12 11:41:31 2020 pruned 5240494 relations
  167. Sat Dec 12 11:41:31 2020 memory use: 2372.0 MB
  168. Sat Dec 12 11:41:31 2020 distribution of cycle lengths:
  169. Sat Dec 12 11:41:31 2020 1 relations: 315955
  170. Sat Dec 12 11:41:31 2020 2 relations: 502546
  171. Sat Dec 12 11:41:31 2020 3 relations: 642285
  172. Sat Dec 12 11:41:31 2020 4 relations: 702486
  173. Sat Dec 12 11:41:31 2020 5 relations: 764788
  174. Sat Dec 12 11:41:31 2020 6 relations: 782952
  175. Sat Dec 12 11:41:31 2020 7 relations: 790802
  176. Sat Dec 12 11:41:31 2020 8 relations: 767969
  177. Sat Dec 12 11:41:31 2020 9 relations: 732547
  178. Sat Dec 12 11:41:31 2020 10+ relations: 4127721
  179. Sat Dec 12 11:41:31 2020 heaviest cycle: 28 relations
  180. Sat Dec 12 11:42:10 2020 RelProcTime: 7437
  181. Sat Dec 12 11:42:10 2020 elapsed time 02:04:00
  182. Sat Dec 12 12:58:36 2020
  183. Sat Dec 12 12:58:36 2020
  184. Sat Dec 12 12:58:36 2020 Msieve v. 1.53 (SVN 988M)
  185. Sat Dec 12 12:58:36 2020 random seeds: 275022b7 532c23cc
  186. Sat Dec 12 12:58:36 2020 factoring 80009965888719671833233581906326142664962366543333994985183504276125326148593973556213666284071140348423756172843880699514133711161492474801977496474646020526749741848576490367620408906455209421692274051941330044560163395607283853946561 (236 digits)
  187. Sat Dec 12 12:58:36 2020 searching for 15-digit factors
  188. Sat Dec 12 12:58:38 2020 commencing number field sieve (236-digit input)
  189. Sat Dec 12 12:58:38 2020 R0: 2787593149816327892691964784081045188247552
  190. Sat Dec 12 12:58:38 2020 R1: -7509466514979724803946715958257547
  191. Sat Dec 12 12:58:38 2020 A0: 1
  192. Sat Dec 12 12:58:38 2020 A1: 0
  193. Sat Dec 12 12:58:38 2020 A2: 0
  194. Sat Dec 12 12:58:38 2020 A3: 0
  195. Sat Dec 12 12:58:38 2020 A4: 0
  196. Sat Dec 12 12:58:38 2020 A5: 0
  197. Sat Dec 12 12:58:38 2020 A6: 36
  198. Sat Dec 12 12:58:38 2020 skew 0.55, size 1.241e-12, alpha 0.954, combined = 1.369e-13 rroots = 0
  199. Sat Dec 12 12:58:38 2020
  200. Sat Dec 12 12:58:38 2020 commencing linear algebra
  201. Sat Dec 12 12:58:40 2020 read 10130051 cycles
  202. Sat Dec 12 12:59:05 2020 cycles contain 33067042 unique relations
  203. Sat Dec 12 13:07:57 2020 read 33067042 relations
  204. Sat Dec 12 13:09:07 2020 using 20 quadratic characters above 4294917295
  205. Sat Dec 12 13:10:59 2020 building initial matrix
  206. Sat Dec 12 13:17:09 2020 memory use: 4181.3 MB
  207. Sat Dec 12 13:19:16 2020 read 10130051 cycles
  208. Sat Dec 12 13:19:17 2020 matrix is 10129874 x 10130051 (5056.8 MB) with weight 1437943287 (141.95/col)
  209. Sat Dec 12 13:19:17 2020 sparse part has weight 1214182183 (119.86/col)
  210. Sat Dec 12 13:21:08 2020 filtering completed in 2 passes
  211. Sat Dec 12 13:21:09 2020 matrix is 10129807 x 10129984 (5056.8 MB) with weight 1437941339 (141.95/col)
  212. Sat Dec 12 13:21:09 2020 sparse part has weight 1214181723 (119.86/col)
  213. Sat Dec 12 13:23:34 2020 matrix starts at (0, 0)
  214. Sat Dec 12 13:23:35 2020 matrix is 10129807 x 10129984 (5056.8 MB) with weight 1437941339 (141.95/col)
  215. Sat Dec 12 13:23:35 2020 sparse part has weight 1214181723 (119.86/col)
  216. Sat Dec 12 13:23:35 2020 saving the first 48 matrix rows for later
  217. Sat Dec 12 13:23:37 2020 matrix includes 64 packed rows
  218. Sat Dec 12 13:23:38 2020 matrix is 10129759 x 10129984 (4851.6 MB) with weight 1251822114 (123.58/col)
  219. Sat Dec 12 13:23:38 2020 sparse part has weight 1170529230 (115.55/col)
  220. Sat Dec 12 13:23:38 2020 using block size 8192 and superblock size 2162688 for processor cache size 22528 kB
  221. Sat Dec 12 13:24:32 2020 commencing Lanczos iteration (16 threads)
  222. Sat Dec 12 13:24:32 2020 memory use: 4155.3 MB
  223. Sat Dec 12 13:24:44 2020 linear algebra at 0.0%, ETA 20h27m
  224. Sat Dec 12 13:24:48 2020 checkpointing every 490000 dimensions
  225. Sun Dec 13 10:31:09 2020 lanczos halted after 160188 iterations (dim = 10129757)
  226. Sun Dec 13 10:31:18 2020 recovered 41 nontrivial dependencies
  227. Sun Dec 13 10:31:22 2020 BLanczosTime: 77564
  228. Sun Dec 13 10:31:22 2020
  229. Sun Dec 13 10:31:22 2020 commencing square root phase
  230. Sun Dec 13 10:31:23 2020 reading relations for dependency 1
  231. Sun Dec 13 10:31:32 2020 read 5064949 cycles
  232. Sun Dec 13 10:31:42 2020 cycles contain 16535220 unique relations
  233. Sun Dec 13 10:40:33 2020 read 16535220 relations
  234. Sun Dec 13 10:41:44 2020 multiplying 16535220 relations
  235. Sun Dec 13 10:51:23 2020 multiply complete, coefficients have about 507.68 million bits
  236. Sun Dec 13 10:51:24 2020 initial square root is modulo 1286254807
  237. Sun Dec 13 11:01:42 2020 GCD is N, no factor found
  238. Sun Dec 13 11:01:42 2020 reading relations for dependency 2
  239. Sun Dec 13 11:01:53 2020 read 5065259 cycles
  240. Sun Dec 13 11:02:04 2020 cycles contain 16530842 unique relations
  241. Sun Dec 13 11:10:55 2020 read 16530842 relations
  242. Sun Dec 13 11:12:06 2020 multiplying 16530842 relations
  243. Sun Dec 13 11:21:59 2020 multiply complete, coefficients have about 507.55 million bits
  244. Sun Dec 13 11:22:00 2020 initial square root is modulo 1279302979
  245. Sun Dec 13 11:32:39 2020 sqrtTime: 3677
  246. Sun Dec 13 11:32:39 2020 p75 factor: 340224522413101377136425263820279171197505211595431135772877212742510692929
  247. Sun Dec 13 11:32:39 2020 p162 factor: 235168133446804848616278952535531207766547630652032008363844762233611690776466178382100440405914791979701128050349196390607556002763985698995747312232433454023809
  248. Sun Dec 13 11:32:39 2020 elapsed time 22:34:03
  249.  
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