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May 28th, 2025
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  1. Mon May 26 23:57:59 2025
  2. Mon May 26 23:57:59 2025
  3. Mon May 26 23:57:59 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon May 26 23:57:59 2025 random seeds: e08a8212 9b608bf5
  5. Mon May 26 23:57:59 2025 MPI process 0 of 1
  6. Mon May 26 23:57:59 2025 Using 32 OpenMP threads
  7. Mon May 26 23:57:59 2025 factoring 6896141933727257436344172549868336130146879467514050817040056329177321639796938705617556619175320944014735945012892932107504484456817343583150769327033865783259198599726158557657 (178 digits)
  8. Mon May 26 23:58:00 2025 searching for 15-digit factors
  9. Mon May 26 23:58:00 2025 commencing number field sieve (178-digit input)
  10. Mon May 26 23:58:00 2025 reversing signs of algebraic polynomial
  11. Mon May 26 23:58:00 2025 R0: -37413145276347277033306193209653296
  12. Mon May 26 23:58:00 2025 R1: 31619460962767412105355569
  13. Mon May 26 23:58:00 2025 A0: -103659811851809934929680068273130658090922750
  14. Mon May 26 23:58:00 2025 A1: 48819635419806791407517630881641985935
  15. Mon May 26 23:58:00 2025 A2: -1488536621671066977382515445368
  16. Mon May 26 23:58:00 2025 A3: -8436275264061869841583
  17. Mon May 26 23:58:00 2025 A4: 33999168779646
  18. Mon May 26 23:58:00 2025 A5: 166320
  19. Mon May 26 23:58:00 2025 skew 117206420.91, size 2.463e-17, alpha -8.831, combined = 1.211e-13 rroots = 5
  20. Mon May 26 23:58:00 2025
  21. Mon May 26 23:58:00 2025 commencing relation filtering
  22. Mon May 26 23:58:00 2025 setting target matrix density to 120.0
  23. Mon May 26 23:58:00 2025 reversing signs of algebraic polynomial
  24. Mon May 26 23:58:00 2025 estimated available RAM is 257736.5 MB
  25. Mon May 26 23:58:00 2025 commencing duplicate removal, pass 1
  26. Mon May 26 23:58:02 2025 error -1 reading relation 802968
  27. Mon May 26 23:58:46 2025 error -1 reading relation 18295604
  28. Mon May 26 23:58:47 2025 error -1 reading relation 19005041
  29. Tue May 27 00:00:51 2025 error -1 reading relation 72552545
  30. Tue May 27 00:01:10 2025 error -1 reading relation 80411174
  31. Tue May 27 00:01:45 2025 error -1 reading relation 94699534
  32. Tue May 27 00:02:53 2025 error -1 reading relation 124049703
  33. Tue May 27 00:03:00 2025 error -1 reading relation 127117608
  34. Tue May 27 00:03:02 2025 error -1 reading relation 127834179
  35. Tue May 27 00:03:02 2025 error -1 reading relation 127849332
  36. Tue May 27 00:03:27 2025 error -1 reading relation 138815924
  37. Tue May 27 00:04:12 2025 error -15 reading relation 158353223
  38. Tue May 27 00:04:35 2025 error -1 reading relation 168324837
  39. Tue May 27 00:04:37 2025 error -1 reading relation 169349679
  40. Tue May 27 00:04:37 2025 error -1 reading relation 169356594
  41. Tue May 27 00:04:49 2025 error -1 reading relation 174880482
  42. Tue May 27 00:04:56 2025 error -1 reading relation 177632527
  43. Tue May 27 00:05:16 2025 error -1 reading relation 186212939
  44. Tue May 27 00:05:17 2025 error -1 reading relation 186607276
  45. Tue May 27 00:05:34 2025 error -1 reading relation 194526771
  46. Tue May 27 00:05:34 2025 error -1 reading relation 194530937
  47. Tue May 27 00:06:23 2025 error -1 reading relation 214799011
  48. Tue May 27 00:06:27 2025 error -1 reading relation 216681187
  49. Tue May 27 00:06:57 2025 error -1 reading relation 229496972
  50. Tue May 27 00:07:24 2025 error -15 reading relation 239915132
  51. Tue May 27 00:08:17 2025 error -1 reading relation 263454937
  52. Tue May 27 00:08:34 2025 error -1 reading relation 270556032
  53. Tue May 27 00:08:55 2025 error -1 reading relation 279867971
  54. Tue May 27 00:09:30 2025 error -1 reading relation 294480899
  55. Tue May 27 00:09:30 2025 error -1 reading relation 294488948
  56. Tue May 27 00:09:39 2025 error -1 reading relation 298243001
  57. Tue May 27 00:09:42 2025 error -1 reading relation 299851929
  58. Tue May 27 00:09:42 2025 error -1 reading relation 299907585
  59. Tue May 27 00:10:21 2025 error -1 reading relation 316578886
  60. Tue May 27 00:10:47 2025 error -1 reading relation 328008520
  61. Tue May 27 00:10:47 2025 error -1 reading relation 328333402
  62. Tue May 27 00:10:51 2025 error -1 reading relation 330093515
  63. Tue May 27 00:11:00 2025 error -1 reading relation 334110381
  64. Tue May 27 00:11:09 2025 error -1 reading relation 337835919
  65. Tue May 27 00:11:09 2025 error -1 reading relation 338014640
  66. Tue May 27 00:11:28 2025 error -1 reading relation 346267668
  67. Tue May 27 00:11:29 2025 error -1 reading relation 346647818
  68. Tue May 27 00:11:29 2025 error -1 reading relation 346732356
  69. Tue May 27 00:11:34 2025 error -1 reading relation 348671936
  70. Tue May 27 00:11:38 2025 error -1 reading relation 350531983
  71. Tue May 27 00:11:39 2025 error -1 reading relation 350803834
  72. Tue May 27 00:11:44 2025 error -1 reading relation 353002406
  73. Tue May 27 00:11:46 2025 error -15 reading relation 354179139
  74. Tue May 27 00:11:51 2025 error -1 reading relation 355626304
  75. Tue May 27 00:11:53 2025 error -1 reading relation 356715356
  76. Tue May 27 00:11:57 2025 error -1 reading relation 358226750
  77. Tue May 27 00:12:00 2025 error -1 reading relation 359636976
  78. Tue May 27 00:12:06 2025 error -1 reading relation 362170218
  79. Tue May 27 00:12:06 2025 error -1 reading relation 362566897
  80. Tue May 27 00:12:21 2025 error -1 reading relation 368574389
  81. Tue May 27 00:12:21 2025 error -1 reading relation 368583486
  82. Tue May 27 00:12:21 2025 error -1 reading relation 368584591
  83. Tue May 27 00:12:25 2025 skipped 382 malformed relations
  84. Tue May 27 00:12:25 2025 found 79758529 hash collisions in 370313177 relations
  85. Tue May 27 00:12:53 2025 commencing duplicate removal, pass 2
  86. Tue May 27 00:21:13 2025 found 84499885 duplicates and 285813292 unique relations
  87. Tue May 27 00:21:13 2025 memory use: 2643.0 MB
  88. Tue May 27 00:21:13 2025 reading ideals above 720000
  89. Tue May 27 00:21:13 2025 commencing singleton removal, initial pass
  90. Tue May 27 00:48:04 2025 memory use: 6024.0 MB
  91. Tue May 27 00:48:04 2025 reading all ideals from disk
  92. Tue May 27 00:48:11 2025 memory use: 13742.1 MB
  93. Tue May 27 00:48:47 2025 keeping 295794512 ideals with weight <= 200, target excess is 1465969
  94. Tue May 27 00:49:33 2025 commencing in-memory singleton removal
  95. Tue May 27 00:49:40 2025 begin with 285813292 relations and 295794512 unique ideals
  96. Tue May 27 00:50:15 2025 reduce to 135314705 relations and 124480630 ideals in 24 passes
  97. Tue May 27 00:50:15 2025 max relations containing the same ideal: 130
  98. Tue May 27 00:51:40 2025 removing 9810474 relations and 8810474 ideals in 1000000 cliques
  99. Tue May 27 00:51:47 2025 commencing in-memory singleton removal
  100. Tue May 27 00:51:51 2025 begin with 125504231 relations and 124480630 unique ideals
  101. Tue May 27 00:52:03 2025 reduce to 124897041 relations and 115056430 ideals in 11 passes
  102. Tue May 27 00:52:03 2025 max relations containing the same ideal: 122
  103. Tue May 27 00:53:26 2025 removing 7277610 relations and 6277610 ideals in 1000000 cliques
  104. Tue May 27 00:53:33 2025 commencing in-memory singleton removal
  105. Tue May 27 00:53:35 2025 begin with 117619431 relations and 115056430 unique ideals
  106. Tue May 27 00:53:46 2025 reduce to 117244753 relations and 108400709 ideals in 10 passes
  107. Tue May 27 00:53:46 2025 max relations containing the same ideal: 116
  108. Tue May 27 00:54:59 2025 removing 6498422 relations and 5498422 ideals in 1000000 cliques
  109. Tue May 27 00:55:05 2025 commencing in-memory singleton removal
  110. Tue May 27 00:55:08 2025 begin with 110746331 relations and 108400709 unique ideals
  111. Tue May 27 00:55:18 2025 reduce to 110426586 relations and 102579728 ideals in 10 passes
  112. Tue May 27 00:55:18 2025 max relations containing the same ideal: 109
  113. Tue May 27 00:56:37 2025 removing 6083240 relations and 5083240 ideals in 1000000 cliques
  114. Tue May 27 00:56:41 2025 commencing in-memory singleton removal
  115. Tue May 27 00:56:44 2025 begin with 104343346 relations and 102579728 unique ideals
  116. Tue May 27 00:56:52 2025 reduce to 104042277 relations and 97192710 ideals in 8 passes
  117. Tue May 27 00:56:52 2025 max relations containing the same ideal: 105
  118. Tue May 27 00:58:07 2025 removing 5823905 relations and 4823905 ideals in 1000000 cliques
  119. Tue May 27 00:58:12 2025 commencing in-memory singleton removal
  120. Tue May 27 00:58:14 2025 begin with 98218372 relations and 97192710 unique ideals
  121. Tue May 27 00:58:22 2025 reduce to 97925245 relations and 92072997 ideals in 9 passes
  122. Tue May 27 00:58:22 2025 max relations containing the same ideal: 102
  123. Tue May 27 00:59:31 2025 removing 5653068 relations and 4653068 ideals in 1000000 cliques
  124. Tue May 27 00:59:35 2025 commencing in-memory singleton removal
  125. Tue May 27 00:59:37 2025 begin with 92272177 relations and 92072997 unique ideals
  126. Tue May 27 00:59:43 2025 reduce to 91976506 relations and 87121432 ideals in 8 passes
  127. Tue May 27 00:59:43 2025 max relations containing the same ideal: 99
  128. Tue May 27 01:00:41 2025 removing 5548419 relations and 4548419 ideals in 1000000 cliques
  129. Tue May 27 01:00:45 2025 commencing in-memory singleton removal
  130. Tue May 27 01:00:47 2025 begin with 86428087 relations and 87121432 unique ideals
  131. Tue May 27 01:00:54 2025 reduce to 86123867 relations and 82265868 ideals in 9 passes
  132. Tue May 27 01:00:54 2025 max relations containing the same ideal: 95
  133. Tue May 27 01:01:41 2025 removing 5481659 relations and 4481659 ideals in 1000000 cliques
  134. Tue May 27 01:01:45 2025 commencing in-memory singleton removal
  135. Tue May 27 01:01:47 2025 begin with 80642208 relations and 82265868 unique ideals
  136. Tue May 27 01:01:53 2025 reduce to 80321304 relations and 77459958 ideals in 9 passes
  137. Tue May 27 01:01:53 2025 max relations containing the same ideal: 93
  138. Tue May 27 01:02:50 2025 removing 5455513 relations and 4455513 ideals in 1000000 cliques
  139. Tue May 27 01:02:54 2025 commencing in-memory singleton removal
  140. Tue May 27 01:02:56 2025 begin with 74865791 relations and 77459958 unique ideals
  141. Tue May 27 01:03:01 2025 reduce to 74521462 relations and 72656293 ideals in 8 passes
  142. Tue May 27 01:03:01 2025 max relations containing the same ideal: 88
  143. Tue May 27 01:03:46 2025 removing 1261132 relations and 1096488 ideals in 164644 cliques
  144. Tue May 27 01:03:48 2025 commencing in-memory singleton removal
  145. Tue May 27 01:03:50 2025 begin with 73260330 relations and 72656293 unique ideals
  146. Tue May 27 01:03:55 2025 reduce to 73242887 relations and 71542313 ideals in 7 passes
  147. Tue May 27 01:03:55 2025 max relations containing the same ideal: 88
  148. Tue May 27 01:04:07 2025 relations with 0 large ideals: 5030
  149. Tue May 27 01:04:07 2025 relations with 1 large ideals: 33526
  150. Tue May 27 01:04:07 2025 relations with 2 large ideals: 454776
  151. Tue May 27 01:04:07 2025 relations with 3 large ideals: 2746534
  152. Tue May 27 01:04:07 2025 relations with 4 large ideals: 9012616
  153. Tue May 27 01:04:07 2025 relations with 5 large ideals: 17544690
  154. Tue May 27 01:04:07 2025 relations with 6 large ideals: 20808510
  155. Tue May 27 01:04:07 2025 relations with 7+ large ideals: 22637205
  156. Tue May 27 01:04:07 2025 commencing 2-way merge
  157. Tue May 27 01:05:24 2025 reduce to 43677111 relation sets and 41976537 unique ideals
  158. Tue May 27 01:05:25 2025 commencing full merge
  159. Tue May 27 01:24:54 2025 memory use: 4399.6 MB
  160. Tue May 27 01:24:59 2025 found 18683427 cycles, need 18600737
  161. Tue May 27 01:25:06 2025 weight of 18600737 cycles is about 2232234022 (120.01/cycle)
  162. Tue May 27 01:25:06 2025 distribution of cycle lengths:
  163. Tue May 27 01:25:06 2025 1 relations: 1452822
  164. Tue May 27 01:25:06 2025 2 relations: 1372931
  165. Tue May 27 01:25:06 2025 3 relations: 1438445
  166. Tue May 27 01:25:06 2025 4 relations: 1386692
  167. Tue May 27 01:25:06 2025 5 relations: 1336729
  168. Tue May 27 01:25:06 2025 6 relations: 1270453
  169. Tue May 27 01:25:06 2025 7 relations: 1198764
  170. Tue May 27 01:25:06 2025 8 relations: 1114430
  171. Tue May 27 01:25:06 2025 9 relations: 1021516
  172. Tue May 27 01:25:06 2025 10+ relations: 7007955
  173. Tue May 27 01:25:06 2025 heaviest cycle: 28 relations
  174. Tue May 27 01:25:12 2025 commencing cycle optimization
  175. Tue May 27 01:26:21 2025 start with 158664557 relations
  176. Tue May 27 01:35:10 2025 pruned 5143442 relations
  177. Tue May 27 01:35:10 2025 memory use: 4597.3 MB
  178. Tue May 27 01:35:10 2025 distribution of cycle lengths:
  179. Tue May 27 01:35:10 2025 1 relations: 1452822
  180. Tue May 27 01:35:10 2025 2 relations: 1408872
  181. Tue May 27 01:35:10 2025 3 relations: 1493449
  182. Tue May 27 01:35:10 2025 4 relations: 1431177
  183. Tue May 27 01:35:10 2025 5 relations: 1384782
  184. Tue May 27 01:35:10 2025 6 relations: 1307210
  185. Tue May 27 01:35:10 2025 7 relations: 1233714
  186. Tue May 27 01:35:10 2025 8 relations: 1138652
  187. Tue May 27 01:35:10 2025 9 relations: 1042480
  188. Tue May 27 01:35:10 2025 10+ relations: 6707579
  189. Tue May 27 01:35:11 2025 heaviest cycle: 28 relations
  190. Tue May 27 01:35:52 2025 RelProcTime: 5872
  191. Tue May 27 01:35:58 2025
  192. Tue May 27 01:35:58 2025 commencing linear algebra
  193. Tue May 27 01:35:58 2025 using VBITS=256
  194. Tue May 27 01:35:58 2025 stopping after matrix build
  195. Tue May 27 01:35:58 2025 initialized process (0,0) of 1 x 1 grid
  196. Tue May 27 01:35:58 2025 reversing signs of algebraic polynomial
  197. Tue May 27 01:36:00 2025 read 18600737 cycles
  198. Tue May 27 01:36:43 2025 cycles contain 71981131 unique relations
  199. Tue May 27 01:43:02 2025 read 71981131 relations
  200. Tue May 27 01:43:14 2025 using 20 quadratic characters above 4294917295
  201. Tue May 27 01:43:25 2025 building initial matrix
  202. Tue May 27 02:00:38 2025 memory use: 9808.2 MB
  203. Tue May 27 02:00:55 2025 read 18600737 cycles
  204. Tue May 27 02:00:58 2025 matrix is 18600559 x 18600737 (8864.4 MB) with weight 2712544483 (145.83/col)
  205. Tue May 27 02:00:58 2025 sparse part has weight 2100548031 (112.93/col)
  206. Tue May 27 02:07:00 2025 filtering completed in 2 passes
  207. Tue May 27 02:07:06 2025 matrix is 18596973 x 18597151 (8864.1 MB) with weight 2712372156 (145.85/col)
  208. Tue May 27 02:07:06 2025 sparse part has weight 2100504184 (112.95/col)
  209. Tue May 27 02:09:06 2025 BLanczosTime: 1988
  210. Tue May 27 02:09:06 2025 elapsed time 02:11:07
  211. Tue May 27 04:23:28 2025
  212. Tue May 27 04:23:28 2025
  213. Tue May 27 04:23:28 2025 Msieve v. 1.54 (SVN Unversioned directory)
  214. Tue May 27 04:23:28 2025 random seeds: b46b6882 09dc104b
  215. Tue May 27 04:23:28 2025 Using 96 OpenMP threads
  216. Tue May 27 04:23:28 2025 factoring 6896141933727257436344172549868336130146879467514050817040056329177321639796938705617556619175320944014735945012892932107504484456817343583150769327033865783259198599726158557657 (178 digits)
  217. Tue May 27 04:23:29 2025 searching for 15-digit factors
  218. Tue May 27 04:23:29 2025 commencing number field sieve (178-digit input)
  219. Tue May 27 04:23:29 2025 reversing signs of algebraic polynomial
  220. Tue May 27 04:23:29 2025 R0: -37413145276347277033306193209653296
  221. Tue May 27 04:23:29 2025 R1: 31619460962767412105355569
  222. Tue May 27 04:23:29 2025 A0: -103659811851809934929680068273130658090922750
  223. Tue May 27 04:23:29 2025 A1: 48819635419806791407517630881641985935
  224. Tue May 27 04:23:29 2025 A2: -1488536621671066977382515445368
  225. Tue May 27 04:23:29 2025 A3: -8436275264061869841583
  226. Tue May 27 04:23:29 2025 A4: 33999168779646
  227. Tue May 27 04:23:29 2025 A5: 166320
  228. Tue May 27 04:23:29 2025 skew 117206420.91, size 2.463e-17, alpha -8.831, combined = 1.211e-13 rroots = 5
  229. Tue May 27 04:23:29 2025
  230. Tue May 27 04:23:29 2025 commencing linear algebra
  231. Tue May 27 04:23:29 2025 using VBITS=256
  232. Tue May 27 04:23:29 2025 skipping matrix build
  233. Tue May 27 04:23:34 2025 matrix starts at (0, 0)
  234. Tue May 27 04:23:36 2025 matrix is 18596973 x 18597151 (8864.1 MB) with weight 2712372156 (145.85/col)
  235. Tue May 27 04:23:36 2025 sparse part has weight 2100504184 (112.95/col)
  236. Tue May 27 04:23:36 2025 saving the first 240 matrix rows for later
  237. Tue May 27 04:23:40 2025 matrix includes 256 packed rows
  238. Tue May 27 04:23:46 2025 matrix is 18596733 x 18597151 (8030.2 MB) with weight 1924117928 (103.46/col)
  239. Tue May 27 04:23:46 2025 sparse part has weight 1807507444 (97.19/col)
  240. Tue May 27 04:23:46 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  241. Tue May 27 04:24:25 2025 commencing Lanczos iteration (96 threads)
  242. Tue May 27 04:24:25 2025 memory use: 11054.1 MB
  243. Tue May 27 04:26:52 2025 linear algebra at 0.2%, ETA 24h15m
  244. Tue May 27 04:30:16 2025 checking every 10000 dimensions, checkpointing every 800000 dimensions
  245. Wed May 28 03:08:07 2025 lanczos halted after 72860 iterations (dim = 18596733)
  246. Wed May 28 03:09:09 2025 recovered 27 nontrivial dependencies
  247. Wed May 28 03:09:11 2025 BLanczosTime: 81942
  248. Wed May 28 03:09:11 2025
  249. Wed May 28 03:09:11 2025 commencing square root phase
  250. Wed May 28 03:09:11 2025 reversing signs of algebraic polynomial
  251. Wed May 28 03:09:11 2025 handling dependencies 1 to 64
  252. Wed May 28 03:09:11 2025 reading relations for dependency 1
  253. Wed May 28 03:09:12 2025 read 9295757 cycles
  254. Wed May 28 03:09:30 2025 cycles contain 35985506 unique relations
  255. Wed May 28 03:14:18 2025 read 35985506 relations
  256. Wed May 28 03:16:57 2025 multiplying 35985506 relations
  257. Wed May 28 03:38:15 2025 multiply complete, coefficients have about 2042.07 million bits
  258. Wed May 28 03:38:23 2025 initial square root is modulo 1445979937
  259. Wed May 28 03:56:18 2025 GCD is 1, no factor found
  260. Wed May 28 03:56:18 2025 reading relations for dependency 2
  261. Wed May 28 03:56:20 2025 read 9298261 cycles
  262. Wed May 28 03:56:41 2025 cycles contain 35989844 unique relations
  263. Wed May 28 04:02:34 2025 read 35989844 relations
  264. Wed May 28 04:05:30 2025 multiplying 35989844 relations
  265. Wed May 28 04:25:17 2025 multiply complete, coefficients have about 2042.32 million bits
  266. Wed May 28 04:25:25 2025 initial square root is modulo 1449618553
  267. Wed May 28 04:42:19 2025 sqrtTime: 5588
  268. Wed May 28 04:42:19 2025 p86 factor: 24385708852915298450167731141004209949220535338434155387623422105004039836198570284397
  269. Wed May 28 04:42:19 2025 p93 factor: 282794401234017331290762552883290717847964361803000335125500320004838689535887471424078759581
  270. Wed May 28 04:42:19 2025 elapsed time 24:18:51
  271.  
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