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Apr 12th, 2024
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  1. Thu Apr 11 23:45:05 2024
  2. Thu Apr 11 23:45:05 2024
  3. Thu Apr 11 23:45:05 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Apr 11 23:45:05 2024 random seeds: 0f2321a4 b4c6d684
  5. Thu Apr 11 23:45:05 2024 Using 32 OpenMP threads
  6. Thu Apr 11 23:45:05 2024 factoring 575645893165001286728859561661840730237046527301918700787468352158108996485259254626227174747828901651247680451931152493232901664917544673616803336199229138146938244337820474251 (177 digits)
  7. Thu Apr 11 23:45:06 2024 searching for 15-digit factors
  8. Thu Apr 11 23:45:06 2024 commencing number field sieve (177-digit input)
  9. Thu Apr 11 23:45:06 2024 R0: -30058373781993219282351834577395994
  10. Thu Apr 11 23:45:06 2024 R1: 1775083971668664449
  11. Thu Apr 11 23:45:06 2024 A0: -5613499327620020477048389687373270670127515
  12. Thu Apr 11 23:45:06 2024 A1: -180451425221580352454794279556301065
  13. Thu Apr 11 23:45:06 2024 A2: 7021330127808656892681880998
  14. Thu Apr 11 23:45:06 2024 A3: -474223257006850762623
  15. Thu Apr 11 23:45:06 2024 A4: -551032943071
  16. Thu Apr 11 23:45:06 2024 A5: 23460
  17. Thu Apr 11 23:45:06 2024 skew 78930415.72, size 3.469e-17, alpha -6.939, combined = 1.552e-13 rroots = 3
  18. Thu Apr 11 23:45:06 2024
  19. Thu Apr 11 23:45:06 2024 commencing relation filtering
  20. Thu Apr 11 23:45:06 2024 setting target matrix density to 140.0
  21. Thu Apr 11 23:45:06 2024 estimated available RAM is 515996.3 MB
  22. Thu Apr 11 23:45:06 2024 commencing duplicate removal, pass 1
  23. Thu Apr 11 23:45:35 2024 error -1 reading relation 20160569
  24. Thu Apr 11 23:46:05 2024 error -15 reading relation 41283064
  25. Thu Apr 11 23:46:09 2024 error -15 reading relation 43953723
  26. Thu Apr 11 23:46:31 2024 error -1 reading relation 59721554
  27. Thu Apr 11 23:46:34 2024 error -1 reading relation 62123091
  28. Thu Apr 11 23:46:49 2024 error -1 reading relation 72389099
  29. Thu Apr 11 23:46:57 2024 error -1 reading relation 78334665
  30. Thu Apr 11 23:46:58 2024 error -11 reading relation 79114042
  31. Thu Apr 11 23:47:24 2024 error -1 reading relation 96907749
  32. Thu Apr 11 23:47:38 2024 error -1 reading relation 107506361
  33. Thu Apr 11 23:48:06 2024 error -1 reading relation 126064570
  34. Thu Apr 11 23:48:15 2024 error -1 reading relation 131935828
  35. Thu Apr 11 23:48:22 2024 error -1 reading relation 136803369
  36. Thu Apr 11 23:48:42 2024 error -1 reading relation 149715063
  37. Thu Apr 11 23:48:52 2024 error -1 reading relation 155613596
  38. Thu Apr 11 23:48:56 2024 error -1 reading relation 158672564
  39. Thu Apr 11 23:49:16 2024 error -1 reading relation 170872148
  40. Thu Apr 11 23:49:26 2024 error -1 reading relation 176839398
  41. Thu Apr 11 23:49:28 2024 error -1 reading relation 178491945
  42. Thu Apr 11 23:49:39 2024 error -15 reading relation 185414096
  43. Thu Apr 11 23:49:39 2024 error -15 reading relation 185414132
  44. Thu Apr 11 23:49:40 2024 error -1 reading relation 185747970
  45. Thu Apr 11 23:49:45 2024 error -1 reading relation 189330984
  46. Thu Apr 11 23:50:11 2024 error -1 reading relation 205242046
  47. Thu Apr 11 23:50:14 2024 error -1 reading relation 206883980
  48. Thu Apr 11 23:50:14 2024 error -1 reading relation 206990405
  49. Thu Apr 11 23:50:20 2024 error -1 reading relation 211304905
  50. Thu Apr 11 23:50:25 2024 error -1 reading relation 214793998
  51. Thu Apr 11 23:50:27 2024 error -11 reading relation 216019481
  52. Thu Apr 11 23:50:30 2024 error -1 reading relation 218462603
  53. Thu Apr 11 23:50:32 2024 error -1 reading relation 220224671
  54. Thu Apr 11 23:50:35 2024 error -1 reading relation 222406458
  55. Thu Apr 11 23:50:37 2024 error -1 reading relation 224129021
  56. Thu Apr 11 23:50:39 2024 error -1 reading relation 225356386
  57. Thu Apr 11 23:50:39 2024 error -1 reading relation 225722767
  58. Thu Apr 11 23:50:50 2024 error -1 reading relation 234134903
  59. Thu Apr 11 23:50:54 2024 error -1 reading relation 237211437
  60. Thu Apr 11 23:50:54 2024 skipped 1 relations with composite factors
  61. Thu Apr 11 23:50:54 2024 skipped 269 malformed relations
  62. Thu Apr 11 23:50:54 2024 found 38475490 hash collisions in 237502327 relations
  63. Thu Apr 11 23:51:16 2024 added 122170 free relations
  64. Thu Apr 11 23:51:16 2024 commencing duplicate removal, pass 2
  65. Thu Apr 11 23:55:32 2024 found 34005365 duplicates and 203619132 unique relations
  66. Thu Apr 11 23:55:32 2024 memory use: 1321.5 MB
  67. Thu Apr 11 23:55:32 2024 reading ideals above 720000
  68. Thu Apr 11 23:55:32 2024 commencing singleton removal, initial pass
  69. Fri Apr 12 00:06:56 2024 memory use: 5512.0 MB
  70. Fri Apr 12 00:06:56 2024 reading all ideals from disk
  71. Fri Apr 12 00:07:00 2024 memory use: 9822.0 MB
  72. Fri Apr 12 00:07:27 2024 keeping 177452651 ideals with weight <= 200, target excess is 1083926
  73. Fri Apr 12 00:08:03 2024 commencing in-memory singleton removal
  74. Fri Apr 12 00:08:07 2024 begin with 203619132 relations and 177452651 unique ideals
  75. Fri Apr 12 00:08:24 2024 reduce to 140585811 relations and 108689034 ideals in 13 passes
  76. Fri Apr 12 00:08:24 2024 max relations containing the same ideal: 165
  77. Fri Apr 12 00:09:20 2024 removing 10121351 relations and 8121351 ideals in 2000000 cliques
  78. Fri Apr 12 00:09:26 2024 commencing in-memory singleton removal
  79. Fri Apr 12 00:09:28 2024 begin with 130464460 relations and 108689034 unique ideals
  80. Fri Apr 12 00:09:37 2024 reduce to 129934568 relations and 100028543 ideals in 9 passes
  81. Fri Apr 12 00:09:37 2024 max relations containing the same ideal: 158
  82. Fri Apr 12 00:10:37 2024 removing 7738059 relations and 5738059 ideals in 2000000 cliques
  83. Fri Apr 12 00:10:43 2024 commencing in-memory singleton removal
  84. Fri Apr 12 00:10:45 2024 begin with 122196509 relations and 100028543 unique ideals
  85. Fri Apr 12 00:10:52 2024 reduce to 121836208 relations and 93924554 ideals in 6 passes
  86. Fri Apr 12 00:10:52 2024 max relations containing the same ideal: 150
  87. Fri Apr 12 00:11:38 2024 removing 7038012 relations and 5038012 ideals in 2000000 cliques
  88. Fri Apr 12 00:11:43 2024 commencing in-memory singleton removal
  89. Fri Apr 12 00:11:45 2024 begin with 114798196 relations and 93924554 unique ideals
  90. Fri Apr 12 00:11:53 2024 reduce to 114484071 relations and 88567536 ideals in 7 passes
  91. Fri Apr 12 00:11:53 2024 max relations containing the same ideal: 144
  92. Fri Apr 12 00:12:47 2024 removing 6684723 relations and 4684723 ideals in 2000000 cliques
  93. Fri Apr 12 00:12:52 2024 commencing in-memory singleton removal
  94. Fri Apr 12 00:12:53 2024 begin with 107799348 relations and 88567536 unique ideals
  95. Fri Apr 12 00:12:59 2024 reduce to 107505320 relations and 83584033 ideals in 7 passes
  96. Fri Apr 12 00:12:59 2024 max relations containing the same ideal: 141
  97. Fri Apr 12 00:13:41 2024 removing 6458931 relations and 4458931 ideals in 2000000 cliques
  98. Fri Apr 12 00:13:46 2024 commencing in-memory singleton removal
  99. Fri Apr 12 00:13:48 2024 begin with 101046389 relations and 83584033 unique ideals
  100. Fri Apr 12 00:13:53 2024 reduce to 100762497 relations and 78836483 ideals in 6 passes
  101. Fri Apr 12 00:13:53 2024 max relations containing the same ideal: 136
  102. Fri Apr 12 00:14:34 2024 removing 6308594 relations and 4308594 ideals in 2000000 cliques
  103. Fri Apr 12 00:14:38 2024 commencing in-memory singleton removal
  104. Fri Apr 12 00:14:40 2024 begin with 94453903 relations and 78836483 unique ideals
  105. Fri Apr 12 00:14:45 2024 reduce to 94174195 relations and 74243052 ideals in 7 passes
  106. Fri Apr 12 00:14:45 2024 max relations containing the same ideal: 129
  107. Fri Apr 12 00:15:18 2024 removing 6201093 relations and 4201093 ideals in 2000000 cliques
  108. Fri Apr 12 00:15:22 2024 commencing in-memory singleton removal
  109. Fri Apr 12 00:15:24 2024 begin with 87973102 relations and 74243052 unique ideals
  110. Fri Apr 12 00:15:29 2024 reduce to 87690551 relations and 69754068 ideals in 7 passes
  111. Fri Apr 12 00:15:29 2024 max relations containing the same ideal: 124
  112. Fri Apr 12 00:16:09 2024 removing 6122139 relations and 4122139 ideals in 2000000 cliques
  113. Fri Apr 12 00:16:14 2024 commencing in-memory singleton removal
  114. Fri Apr 12 00:16:15 2024 begin with 81568412 relations and 69754068 unique ideals
  115. Fri Apr 12 00:16:18 2024 reduce to 81281264 relations and 65339129 ideals in 6 passes
  116. Fri Apr 12 00:16:18 2024 max relations containing the same ideal: 119
  117. Fri Apr 12 00:16:53 2024 removing 6062813 relations and 4062813 ideals in 2000000 cliques
  118. Fri Apr 12 00:16:57 2024 commencing in-memory singleton removal
  119. Fri Apr 12 00:16:58 2024 begin with 75218451 relations and 65339129 unique ideals
  120. Fri Apr 12 00:17:01 2024 reduce to 74920503 relations and 60972241 ideals in 6 passes
  121. Fri Apr 12 00:17:01 2024 max relations containing the same ideal: 114
  122. Fri Apr 12 00:17:28 2024 removing 6023267 relations and 4023267 ideals in 2000000 cliques
  123. Fri Apr 12 00:17:31 2024 commencing in-memory singleton removal
  124. Fri Apr 12 00:17:32 2024 begin with 68897236 relations and 60972241 unique ideals
  125. Fri Apr 12 00:17:35 2024 reduce to 68586917 relations and 56631387 ideals in 6 passes
  126. Fri Apr 12 00:17:35 2024 max relations containing the same ideal: 104
  127. Fri Apr 12 00:17:59 2024 removing 5996181 relations and 3996181 ideals in 2000000 cliques
  128. Fri Apr 12 00:18:02 2024 commencing in-memory singleton removal
  129. Fri Apr 12 00:18:03 2024 begin with 62590736 relations and 56631387 unique ideals
  130. Fri Apr 12 00:18:06 2024 reduce to 62262350 relations and 52298692 ideals in 7 passes
  131. Fri Apr 12 00:18:06 2024 max relations containing the same ideal: 97
  132. Fri Apr 12 00:18:28 2024 removing 5983760 relations and 3983760 ideals in 2000000 cliques
  133. Fri Apr 12 00:22:44 2024 commencing in-memory singleton removal
  134. Fri Apr 12 00:22:44 2024 begin with 56278590 relations and 52298692 unique ideals
  135. Fri Apr 12 00:22:47 2024 reduce to 55924107 relations and 47950723 ideals in 7 passes
  136. Fri Apr 12 00:22:47 2024 max relations containing the same ideal: 91
  137. Fri Apr 12 00:23:08 2024 removing 5977776 relations and 3977776 ideals in 2000000 cliques
  138. Fri Apr 12 00:23:11 2024 commencing in-memory singleton removal
  139. Fri Apr 12 00:23:12 2024 begin with 49946331 relations and 47950723 unique ideals
  140. Fri Apr 12 00:23:14 2024 reduce to 49560237 relations and 43575337 ideals in 6 passes
  141. Fri Apr 12 00:23:14 2024 max relations containing the same ideal: 86
  142. Fri Apr 12 00:23:32 2024 removing 5982754 relations and 3982754 ideals in 2000000 cliques
  143. Fri Apr 12 00:23:34 2024 commencing in-memory singleton removal
  144. Fri Apr 12 00:23:35 2024 begin with 43577483 relations and 43575337 unique ideals
  145. Fri Apr 12 00:23:37 2024 reduce to 43145903 relations and 39146627 ideals in 6 passes
  146. Fri Apr 12 00:23:37 2024 max relations containing the same ideal: 78
  147. Fri Apr 12 00:23:52 2024 removing 5993167 relations and 3993167 ideals in 2000000 cliques
  148. Fri Apr 12 00:23:54 2024 commencing in-memory singleton removal
  149. Fri Apr 12 00:23:55 2024 begin with 37152736 relations and 39146627 unique ideals
  150. Fri Apr 12 00:23:57 2024 reduce to 36655170 relations and 34637061 ideals in 7 passes
  151. Fri Apr 12 00:23:57 2024 max relations containing the same ideal: 71
  152. Fri Apr 12 00:24:10 2024 removing 2717295 relations and 1956541 ideals in 760754 cliques
  153. Fri Apr 12 00:24:12 2024 commencing in-memory singleton removal
  154. Fri Apr 12 00:24:12 2024 begin with 33937875 relations and 34637061 unique ideals
  155. Fri Apr 12 00:24:14 2024 reduce to 33808103 relations and 32548515 ideals in 6 passes
  156. Fri Apr 12 00:24:14 2024 max relations containing the same ideal: 66
  157. Fri Apr 12 00:24:30 2024 relations with 0 large ideals: 3545
  158. Fri Apr 12 00:24:30 2024 relations with 1 large ideals: 19479
  159. Fri Apr 12 00:24:30 2024 relations with 2 large ideals: 261128
  160. Fri Apr 12 00:24:30 2024 relations with 3 large ideals: 1502753
  161. Fri Apr 12 00:24:30 2024 relations with 4 large ideals: 4576378
  162. Fri Apr 12 00:24:30 2024 relations with 5 large ideals: 8196780
  163. Fri Apr 12 00:24:30 2024 relations with 6 large ideals: 9163774
  164. Fri Apr 12 00:24:30 2024 relations with 7+ large ideals: 10084266
  165. Fri Apr 12 00:24:30 2024 commencing 2-way merge
  166. Fri Apr 12 00:24:48 2024 reduce to 22975948 relation sets and 21716360 unique ideals
  167. Fri Apr 12 00:24:48 2024 commencing full merge
  168. Fri Apr 12 00:32:35 2024 memory use: 2905.8 MB
  169. Fri Apr 12 00:32:36 2024 found 10236809 cycles, need 10154560
  170. Fri Apr 12 00:32:40 2024 weight of 10154560 cycles is about 1422269288 (140.06/cycle)
  171. Fri Apr 12 00:32:40 2024 distribution of cycle lengths:
  172. Fri Apr 12 00:32:40 2024 1 relations: 157386
  173. Fri Apr 12 00:32:40 2024 2 relations: 442223
  174. Fri Apr 12 00:32:40 2024 3 relations: 600718
  175. Fri Apr 12 00:32:40 2024 4 relations: 662410
  176. Fri Apr 12 00:32:40 2024 5 relations: 720910
  177. Fri Apr 12 00:32:40 2024 6 relations: 739076
  178. Fri Apr 12 00:32:40 2024 7 relations: 749685
  179. Fri Apr 12 00:32:40 2024 8 relations: 731525
  180. Fri Apr 12 00:32:40 2024 9 relations: 706625
  181. Fri Apr 12 00:32:40 2024 10+ relations: 4644002
  182. Fri Apr 12 00:32:40 2024 heaviest cycle: 28 relations
  183. Fri Apr 12 00:32:42 2024 commencing cycle optimization
  184. Fri Apr 12 00:33:01 2024 start with 98087371 relations
  185. Fri Apr 12 00:36:19 2024 pruned 5616900 relations
  186. Fri Apr 12 00:36:19 2024 memory use: 2416.2 MB
  187. Fri Apr 12 00:36:19 2024 distribution of cycle lengths:
  188. Fri Apr 12 00:36:19 2024 1 relations: 157386
  189. Fri Apr 12 00:36:19 2024 2 relations: 456683
  190. Fri Apr 12 00:36:19 2024 3 relations: 632165
  191. Fri Apr 12 00:36:19 2024 4 relations: 698624
  192. Fri Apr 12 00:36:19 2024 5 relations: 767933
  193. Fri Apr 12 00:36:19 2024 6 relations: 789792
  194. Fri Apr 12 00:36:19 2024 7 relations: 802886
  195. Fri Apr 12 00:36:19 2024 8 relations: 783056
  196. Fri Apr 12 00:36:19 2024 9 relations: 755100
  197. Fri Apr 12 00:36:19 2024 10+ relations: 4310935
  198. Fri Apr 12 00:36:19 2024 heaviest cycle: 28 relations
  199. Fri Apr 12 00:36:29 2024 RelProcTime: 3083
  200. Fri Apr 12 00:36:29 2024 elapsed time 00:51:24
  201. Fri Apr 12 00:46:17 2024
  202. Fri Apr 12 00:46:17 2024
  203. Fri Apr 12 00:46:17 2024 Msieve v. 1.54 (SVN Unversioned directory)
  204. Fri Apr 12 00:46:17 2024 random seeds: 12919786 79f1ba28
  205. Fri Apr 12 00:46:17 2024 Using 64 OpenMP threads
  206. Fri Apr 12 00:46:17 2024 factoring 575645893165001286728859561661840730237046527301918700787468352158108996485259254626227174747828901651247680451931152493232901664917544673616803336199229138146938244337820474251 (177 digits)
  207. Fri Apr 12 00:46:17 2024 searching for 15-digit factors
  208. Fri Apr 12 00:46:18 2024 commencing number field sieve (177-digit input)
  209. Fri Apr 12 00:46:18 2024 R0: -30058373781993219282351834577395994
  210. Fri Apr 12 00:46:18 2024 R1: 1775083971668664449
  211. Fri Apr 12 00:46:18 2024 A0: -5613499327620020477048389687373270670127515
  212. Fri Apr 12 00:46:18 2024 A1: -180451425221580352454794279556301065
  213. Fri Apr 12 00:46:18 2024 A2: 7021330127808656892681880998
  214. Fri Apr 12 00:46:18 2024 A3: -474223257006850762623
  215. Fri Apr 12 00:46:18 2024 A4: -551032943071
  216. Fri Apr 12 00:46:18 2024 A5: 23460
  217. Fri Apr 12 00:46:18 2024 skew 78930415.72, size 3.469e-17, alpha -6.939, combined = 1.552e-13 rroots = 3
  218. Fri Apr 12 00:46:18 2024
  219. Fri Apr 12 00:46:18 2024 commencing linear algebra
  220. Fri Apr 12 00:46:18 2024 using VBITS=256
  221. Fri Apr 12 00:46:19 2024 read 10154560 cycles
  222. Fri Apr 12 00:46:35 2024 cycles contain 33258878 unique relations
  223. Fri Apr 12 00:50:09 2024 read 33258878 relations
  224. Fri Apr 12 00:50:13 2024 using 20 quadratic characters above 4294917295
  225. Fri Apr 12 00:50:17 2024 building initial matrix
  226. Fri Apr 12 00:57:31 2024 memory use: 4667.6 MB
  227. Fri Apr 12 00:57:36 2024 read 10154560 cycles
  228. Fri Apr 12 00:57:38 2024 matrix is 10154382 x 10154560 (5422.6 MB) with weight 1639451653 (161.45/col)
  229. Fri Apr 12 00:57:38 2024 sparse part has weight 1299641150 (127.99/col)
  230. Fri Apr 12 00:59:51 2024 filtering completed in 2 passes
  231. Fri Apr 12 00:59:53 2024 matrix is 10154292 x 10154468 (5422.6 MB) with weight 1639446682 (161.45/col)
  232. Fri Apr 12 00:59:53 2024 sparse part has weight 1299639433 (127.99/col)
  233. Fri Apr 12 01:00:27 2024 matrix starts at (0, 0)
  234. Fri Apr 12 01:00:29 2024 matrix is 10154292 x 10154468 (5422.6 MB) with weight 1639446682 (161.45/col)
  235. Fri Apr 12 01:00:29 2024 sparse part has weight 1299639433 (127.99/col)
  236. Fri Apr 12 01:00:29 2024 saving the first 240 matrix rows for later
  237. Fri Apr 12 01:00:30 2024 matrix includes 256 packed rows
  238. Fri Apr 12 01:00:34 2024 matrix is 10154052 x 10154468 (4901.6 MB) with weight 1193568136 (117.54/col)
  239. Fri Apr 12 01:00:34 2024 sparse part has weight 1122463836 (110.54/col)
  240. Fri Apr 12 01:00:34 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  241. Fri Apr 12 01:00:56 2024 commencing Lanczos iteration (64 threads)
  242. Fri Apr 12 01:00:56 2024 memory use: 6485.5 MB
  243. Fri Apr 12 01:02:41 2024 linear algebra at 0.3%, ETA 9h27m
  244. Fri Apr 12 01:05:12 2024 checking every 10000 dimensions, checkpointing every 1090000 dimensions
  245. Fri Apr 12 10:13:42 2024 lanczos halted after 39785 iterations (dim = 10154052)
  246. Fri Apr 12 10:14:18 2024 recovered 31 nontrivial dependencies
  247. Fri Apr 12 10:14:18 2024 BLanczosTime: 34080
  248. Fri Apr 12 10:14:18 2024
  249. Fri Apr 12 10:14:18 2024 commencing square root phase
  250. Fri Apr 12 10:14:18 2024 reading relations for dependency 1
  251. Fri Apr 12 10:14:19 2024 read 5078194 cycles
  252. Fri Apr 12 10:14:27 2024 cycles contain 16628800 unique relations
  253. Fri Apr 12 10:17:35 2024 read 16628800 relations
  254. Fri Apr 12 10:18:35 2024 multiplying 16628800 relations
  255. Fri Apr 12 10:25:51 2024 multiply complete, coefficients have about 897.46 million bits
  256. Fri Apr 12 10:25:53 2024 initial square root is modulo 112615927
  257. Fri Apr 12 10:30:48 2024 sqrtTime: 990
  258. Fri Apr 12 10:30:48 2024 p67 factor: 7169815864678691610510709120497831995595963015944232762496644578651
  259. Fri Apr 12 10:30:48 2024 p110 factor: 80287402637612688923166528126061394737650992144599064761280609972936994248400470328845781407115276482267955601
  260. Fri Apr 12 10:30:48 2024 elapsed time 09:44:31
  261.  
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