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May 10th, 2024
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  1. Thu May 9 18:45:34 2024
  2. Thu May 9 18:45:34 2024
  3. Thu May 9 18:45:34 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 9 18:45:34 2024 random seeds: 4e149498 dfc33b57
  5. Thu May 9 18:45:34 2024 Using 32 OpenMP threads
  6. Thu May 9 18:45:34 2024 factoring 4412945938505208451239377652185203851510170498802043849396202688156484625825228697467129952715358525701428962941502448712126490933393596941453332337376213029488217467 (166 digits)
  7. Thu May 9 18:45:34 2024 searching for 15-digit factors
  8. Thu May 9 18:45:35 2024 commencing number field sieve (166-digit input)
  9. Thu May 9 18:45:35 2024 R0: -188627621543008489638184157516813
  10. Thu May 9 18:45:35 2024 R1: 384118637827841507
  11. Thu May 9 18:45:35 2024 A0: -249671973774133266956521487910778697511300
  12. Thu May 9 18:45:35 2024 A1: 86386685570558201374908531418213648
  13. Thu May 9 18:45:35 2024 A2: -8497523232412720520050897119
  14. Thu May 9 18:45:35 2024 A3: -337423090888892944232
  15. Thu May 9 18:45:35 2024 A4: 4116314668436
  16. Thu May 9 18:45:35 2024 A5: 18480
  17. Thu May 9 18:45:35 2024 skew 47259615.97, size 3.560e-16, alpha -8.131, combined = 6.080e-13 rroots = 3
  18. Thu May 9 18:45:35 2024
  19. Thu May 9 18:45:35 2024 commencing relation filtering
  20. Thu May 9 18:45:35 2024 setting target matrix density to 130.0
  21. Thu May 9 18:45:35 2024 estimated available RAM is 515996.3 MB
  22. Thu May 9 18:45:35 2024 commencing duplicate removal, pass 1
  23. Thu May 9 18:46:27 2024 error -1 reading relation 35686901
  24. Thu May 9 18:46:47 2024 error -1 reading relation 46217043
  25. Thu May 9 18:46:49 2024 error -1 reading relation 47200524
  26. Thu May 9 18:46:57 2024 error -1 reading relation 51204605
  27. Thu May 9 18:48:10 2024 error -1 reading relation 88570204
  28. Thu May 9 18:49:36 2024 error -1 reading relation 131469019
  29. Thu May 9 18:50:30 2024 error -1 reading relation 159661898
  30. Thu May 9 18:50:44 2024 error -1 reading relation 166436021
  31. Thu May 9 18:51:06 2024 error -1 reading relation 177168609
  32. Thu May 9 18:51:10 2024 error -1 reading relation 179268275
  33. Thu May 9 18:51:48 2024 error -1 reading relation 198115929
  34. Thu May 9 18:51:52 2024 error -1 reading relation 200308267
  35. Thu May 9 18:52:16 2024 error -15 reading relation 211946772
  36. Thu May 9 18:52:16 2024 error -15 reading relation 212197926
  37. Thu May 9 18:52:16 2024 error -15 reading relation 212225907
  38. Thu May 9 18:52:25 2024 error -1 reading relation 216745293
  39. Thu May 9 18:52:29 2024 error -1 reading relation 218455742
  40. Thu May 9 18:52:51 2024 skipped 3 relations with composite factors
  41. Thu May 9 18:52:51 2024 skipped 116 malformed relations
  42. Thu May 9 18:52:51 2024 found 44807268 hash collisions in 229781278 relations
  43. Thu May 9 18:53:14 2024 added 121238 free relations
  44. Thu May 9 18:53:14 2024 commencing duplicate removal, pass 2
  45. Thu May 9 18:57:54 2024 found 43290275 duplicates and 186612241 unique relations
  46. Thu May 9 18:57:54 2024 memory use: 1321.5 MB
  47. Thu May 9 18:57:54 2024 reading ideals above 720000
  48. Thu May 9 18:57:54 2024 commencing singleton removal, initial pass
  49. Thu May 9 19:10:57 2024 memory use: 5512.0 MB
  50. Thu May 9 19:10:58 2024 reading all ideals from disk
  51. Thu May 9 19:11:02 2024 memory use: 8477.2 MB
  52. Thu May 9 19:11:28 2024 keeping 189591769 ideals with weight <= 200, target excess is 990550
  53. Thu May 9 19:12:02 2024 commencing in-memory singleton removal
  54. Thu May 9 19:12:07 2024 begin with 186612241 relations and 189591769 unique ideals
  55. Thu May 9 19:12:23 2024 reduce to 81265986 relations and 69631863 ideals in 17 passes
  56. Thu May 9 19:12:23 2024 max relations containing the same ideal: 120
  57. Thu May 9 19:12:59 2024 removing 12087558 relations and 10087558 ideals in 2000000 cliques
  58. Thu May 9 19:13:03 2024 commencing in-memory singleton removal
  59. Thu May 9 19:13:05 2024 begin with 69178428 relations and 69631863 unique ideals
  60. Thu May 9 19:13:10 2024 reduce to 67844933 relations and 58169368 ideals in 11 passes
  61. Thu May 9 19:13:10 2024 max relations containing the same ideal: 107
  62. Thu May 9 19:13:40 2024 removing 9205187 relations and 7205187 ideals in 2000000 cliques
  63. Thu May 9 19:13:43 2024 commencing in-memory singleton removal
  64. Thu May 9 19:13:44 2024 begin with 58639746 relations and 58169368 unique ideals
  65. Thu May 9 19:13:49 2024 reduce to 57692708 relations and 49989402 ideals in 11 passes
  66. Thu May 9 19:13:49 2024 max relations containing the same ideal: 94
  67. Thu May 9 19:14:12 2024 removing 8343842 relations and 6343842 ideals in 2000000 cliques
  68. Thu May 9 19:14:15 2024 commencing in-memory singleton removal
  69. Thu May 9 19:14:16 2024 begin with 49348866 relations and 49989402 unique ideals
  70. Thu May 9 19:14:19 2024 reduce to 48450150 relations and 42717622 ideals in 9 passes
  71. Thu May 9 19:14:19 2024 max relations containing the same ideal: 84
  72. Thu May 9 19:14:39 2024 removing 7912056 relations and 5912056 ideals in 2000000 cliques
  73. Thu May 9 19:14:42 2024 commencing in-memory singleton removal
  74. Thu May 9 19:14:42 2024 begin with 40538094 relations and 42717622 unique ideals
  75. Thu May 9 19:14:45 2024 reduce to 39604727 relations and 35837548 ideals in 9 passes
  76. Thu May 9 19:14:45 2024 max relations containing the same ideal: 73
  77. Thu May 9 19:15:01 2024 removing 7633470 relations and 5633470 ideals in 2000000 cliques
  78. Thu May 9 19:15:03 2024 commencing in-memory singleton removal
  79. Thu May 9 19:15:03 2024 begin with 31971257 relations and 35837548 unique ideals
  80. Thu May 9 19:15:06 2024 reduce to 30930994 relations and 29116811 ideals in 11 passes
  81. Thu May 9 19:15:06 2024 max relations containing the same ideal: 63
  82. Thu May 9 19:15:18 2024 removing 3202876 relations and 2537732 ideals in 665144 cliques
  83. Thu May 9 19:15:20 2024 commencing in-memory singleton removal
  84. Thu May 9 19:15:20 2024 begin with 27728118 relations and 29116811 unique ideals
  85. Thu May 9 19:15:22 2024 reduce to 27520748 relations and 26367729 ideals in 9 passes
  86. Thu May 9 19:15:22 2024 max relations containing the same ideal: 61
  87. Thu May 9 19:15:36 2024 relations with 0 large ideals: 3099
  88. Thu May 9 19:15:36 2024 relations with 1 large ideals: 38840
  89. Thu May 9 19:15:36 2024 relations with 2 large ideals: 454269
  90. Thu May 9 19:15:36 2024 relations with 3 large ideals: 2209770
  91. Thu May 9 19:15:36 2024 relations with 4 large ideals: 5545108
  92. Thu May 9 19:15:36 2024 relations with 5 large ideals: 7895844
  93. Thu May 9 19:15:36 2024 relations with 6 large ideals: 6709914
  94. Thu May 9 19:15:36 2024 relations with 7+ large ideals: 4663904
  95. Thu May 9 19:15:36 2024 commencing 2-way merge
  96. Thu May 9 19:15:51 2024 reduce to 16592821 relation sets and 15439801 unique ideals
  97. Thu May 9 19:15:51 2024 commencing full merge
  98. Thu May 9 19:21:01 2024 memory use: 1901.2 MB
  99. Thu May 9 19:21:03 2024 found 7306916 cycles, need 7238001
  100. Thu May 9 19:21:05 2024 weight of 7238001 cycles is about 941131436 (130.03/cycle)
  101. Thu May 9 19:21:05 2024 distribution of cycle lengths:
  102. Thu May 9 19:21:05 2024 1 relations: 261392
  103. Thu May 9 19:21:05 2024 2 relations: 406693
  104. Thu May 9 19:21:05 2024 3 relations: 477749
  105. Thu May 9 19:21:05 2024 4 relations: 495052
  106. Thu May 9 19:21:05 2024 5 relations: 509608
  107. Thu May 9 19:21:05 2024 6 relations: 502145
  108. Thu May 9 19:21:05 2024 7 relations: 490406
  109. Thu May 9 19:21:05 2024 8 relations: 474707
  110. Thu May 9 19:21:05 2024 9 relations: 450742
  111. Thu May 9 19:21:05 2024 10+ relations: 3169507
  112. Thu May 9 19:21:05 2024 heaviest cycle: 28 relations
  113. Thu May 9 19:21:07 2024 commencing cycle optimization
  114. Thu May 9 19:21:24 2024 start with 67974184 relations
  115. Thu May 9 19:24:01 2024 pruned 2848680 relations
  116. Thu May 9 19:24:01 2024 memory use: 1820.3 MB
  117. Thu May 9 19:24:01 2024 distribution of cycle lengths:
  118. Thu May 9 19:24:01 2024 1 relations: 261392
  119. Thu May 9 19:24:01 2024 2 relations: 417554
  120. Thu May 9 19:24:01 2024 3 relations: 497620
  121. Thu May 9 19:24:01 2024 4 relations: 515344
  122. Thu May 9 19:24:01 2024 5 relations: 532745
  123. Thu May 9 19:24:01 2024 6 relations: 524319
  124. Thu May 9 19:24:01 2024 7 relations: 513803
  125. Thu May 9 19:24:01 2024 8 relations: 494980
  126. Thu May 9 19:24:01 2024 9 relations: 470755
  127. Thu May 9 19:24:01 2024 10+ relations: 3009489
  128. Thu May 9 19:24:01 2024 heaviest cycle: 28 relations
  129. Thu May 9 19:24:16 2024 RelProcTime: 2321
  130. Thu May 9 19:24:16 2024 elapsed time 00:38:42
  131.  
  132. Thu May 9 20:45:14 2024
  133. Thu May 9 20:45:14 2024
  134. Thu May 9 20:45:14 2024 Msieve v. 1.54 (SVN Unversioned directory)
  135. Thu May 9 20:45:14 2024 random seeds: f5d80daf ebf5f1df
  136. Thu May 9 20:45:14 2024 Using 64 OpenMP threads
  137. Thu May 9 20:45:14 2024 factoring 4412945938505208451239377652185203851510170498802043849396202688156484625825228697467129952715358525701428962941502448712126490933393596941453332337376213029488217467 (166 digits)
  138. Thu May 9 20:45:15 2024 searching for 15-digit factors
  139. Thu May 9 20:45:15 2024 commencing number field sieve (166-digit input)
  140. Thu May 9 20:45:15 2024 R0: -188627621543008489638184157516813
  141. Thu May 9 20:45:15 2024 R1: 384118637827841507
  142. Thu May 9 20:45:15 2024 A0: -249671973774133266956521487910778697511300
  143. Thu May 9 20:45:15 2024 A1: 86386685570558201374908531418213648
  144. Thu May 9 20:45:15 2024 A2: -8497523232412720520050897119
  145. Thu May 9 20:45:15 2024 A3: -337423090888892944232
  146. Thu May 9 20:45:15 2024 A4: 4116314668436
  147. Thu May 9 20:45:15 2024 A5: 18480
  148. Thu May 9 20:45:15 2024 skew 47259615.97, size 3.560e-16, alpha -8.131, combined = 6.080e-13 rroots = 3
  149. Thu May 9 20:45:15 2024
  150. Thu May 9 20:45:15 2024 commencing linear algebra
  151. Thu May 9 20:45:15 2024 using VBITS=256
  152. Thu May 9 20:45:15 2024 skipping matrix build
  153. Thu May 9 20:45:17 2024 matrix starts at (0, 0)
  154. Thu May 9 20:45:18 2024 matrix is 7237443 x 7237622 (3681.0 MB) with weight 1131394455 (156.32/col)
  155. Thu May 9 20:45:18 2024 sparse part has weight 878105164 (121.33/col)
  156. Thu May 9 20:45:18 2024 saving the first 240 matrix rows for later
  157. Thu May 9 20:45:21 2024 matrix includes 256 packed rows
  158. Thu May 9 20:45:23 2024 matrix is 7237203 x 7237622 (3297.0 MB) with weight 801385301 (110.72/col)
  159. Thu May 9 20:45:23 2024 sparse part has weight 748489728 (103.42/col)
  160. Thu May 9 20:45:23 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  161. Thu May 9 20:45:39 2024 commencing Lanczos iteration (64 threads)
  162. Thu May 9 20:45:39 2024 memory use: 4415.8 MB
  163. Thu May 9 20:46:49 2024 linear algebra at 0.4%, ETA 4h30m
  164. Thu May 9 20:48:31 2024 checking every 20000 dimensions, checkpointing every 1620000 dimensions
  165. Fri May 10 01:10:00 2024 lanczos halted after 28356 iterations (dim = 7237202)
  166. Fri May 10 01:10:30 2024 recovered 31 nontrivial dependencies
  167. Fri May 10 01:10:30 2024 BLanczosTime: 15915
  168. Fri May 10 01:10:30 2024
  169. Fri May 10 01:10:30 2024 commencing square root phase
  170. Fri May 10 01:10:30 2024 handling dependencies 1 to 64
  171. Fri May 10 01:10:30 2024 reading relations for dependency 1
  172. Fri May 10 01:10:31 2024 read 3620012 cycles
  173. Fri May 10 01:10:37 2024 cycles contain 13382606 unique relations
  174. Fri May 10 01:13:57 2024 read 13382606 relations
  175. Fri May 10 01:14:47 2024 multiplying 13382606 relations
  176. Fri May 10 01:22:53 2024 multiply complete, coefficients have about 711.85 million bits
  177. Fri May 10 01:22:57 2024 initial square root is modulo 2434493
  178. Fri May 10 01:28:47 2024 GCD is N, no factor found
  179. Fri May 10 01:28:47 2024 reading relations for dependency 2
  180. Fri May 10 01:28:48 2024 read 3617765 cycles
  181. Fri May 10 01:28:55 2024 cycles contain 13376590 unique relations
  182. Fri May 10 01:32:23 2024 read 13376590 relations
  183. Fri May 10 01:33:12 2024 multiplying 13376590 relations
  184. Fri May 10 01:40:05 2024 multiply complete, coefficients have about 711.52 million bits
  185. Fri May 10 01:40:07 2024 initial square root is modulo 2418137
  186. Fri May 10 01:46:34 2024 GCD is 1, no factor found
  187. Fri May 10 01:46:34 2024 reading relations for dependency 3
  188. Fri May 10 01:46:35 2024 read 3619336 cycles
  189. Fri May 10 01:46:43 2024 cycles contain 13381848 unique relations
  190. Fri May 10 01:50:16 2024 read 13381848 relations
  191. Fri May 10 01:51:04 2024 multiplying 13381848 relations
  192. Fri May 10 01:57:49 2024 multiply complete, coefficients have about 711.81 million bits
  193. Fri May 10 01:57:52 2024 initial square root is modulo 2432453
  194. Fri May 10 02:02:37 2024 GCD is 1, no factor found
  195. Fri May 10 02:02:37 2024 reading relations for dependency 4
  196. Fri May 10 02:02:38 2024 read 3620151 cycles
  197. Fri May 10 02:02:44 2024 cycles contain 13385472 unique relations
  198. Fri May 10 02:06:09 2024 read 13385472 relations
  199. Fri May 10 02:06:55 2024 multiplying 13385472 relations
  200. Fri May 10 02:13:01 2024 multiply complete, coefficients have about 712.01 million bits
  201. Fri May 10 02:13:03 2024 initial square root is modulo 2442457
  202. Fri May 10 02:18:19 2024 GCD is N, no factor found
  203. Fri May 10 02:18:19 2024 reading relations for dependency 5
  204. Fri May 10 02:18:20 2024 read 3620728 cycles
  205. Fri May 10 02:18:26 2024 cycles contain 13384702 unique relations
  206. Fri May 10 02:22:07 2024 read 13384702 relations
  207. Fri May 10 02:23:05 2024 multiplying 13384702 relations
  208. Fri May 10 02:29:44 2024 multiply complete, coefficients have about 711.96 million bits
  209. Fri May 10 02:29:47 2024 initial square root is modulo 2440007
  210. Fri May 10 02:35:37 2024 GCD is N, no factor found
  211. Fri May 10 02:35:37 2024 reading relations for dependency 6
  212. Fri May 10 02:35:38 2024 read 3618391 cycles
  213. Fri May 10 02:35:46 2024 cycles contain 13383484 unique relations
  214. Fri May 10 02:39:31 2024 read 13383484 relations
  215. Fri May 10 02:40:27 2024 multiplying 13383484 relations
  216. Fri May 10 02:48:04 2024 multiply complete, coefficients have about 711.90 million bits
  217. Fri May 10 02:48:06 2024 initial square root is modulo 2437033
  218. Fri May 10 02:54:28 2024 GCD is N, no factor found
  219. Fri May 10 02:54:28 2024 reading relations for dependency 7
  220. Fri May 10 02:54:29 2024 read 3617463 cycles
  221. Fri May 10 02:54:36 2024 cycles contain 13380514 unique relations
  222. Fri May 10 02:58:06 2024 read 13380514 relations
  223. Fri May 10 02:58:53 2024 multiplying 13380514 relations
  224. Fri May 10 03:05:56 2024 multiply complete, coefficients have about 711.75 million bits
  225. Fri May 10 03:05:59 2024 initial square root is modulo 2429341
  226. Fri May 10 03:12:19 2024 GCD is 1, no factor found
  227. Fri May 10 03:12:19 2024 reading relations for dependency 8
  228. Fri May 10 03:12:20 2024 read 3619305 cycles
  229. Fri May 10 03:12:28 2024 cycles contain 13389718 unique relations
  230. Fri May 10 03:16:10 2024 read 13389718 relations
  231. Fri May 10 03:17:00 2024 multiplying 13389718 relations
  232. Fri May 10 03:23:58 2024 multiply complete, coefficients have about 712.24 million bits
  233. Fri May 10 03:24:00 2024 initial square root is modulo 2454013
  234. Fri May 10 03:29:49 2024 sqrtTime: 8359
  235. Fri May 10 03:29:49 2024 p78 factor: 193776818020188092206585540812748097644065947048242170224652085768247363642129
  236. Fri May 10 03:29:49 2024 p89 factor: 22773342980817540843768192780475224067550714925250137110443294015852070971976117571096523
  237. Fri May 10 03:29:49 2024 elapsed time 06:44:35
  238.  
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