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Oct 13th, 2026
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  1. Sun Oct 11 12:30:52 2026
  2. Sun Oct 11 12:30:52 2026
  3. Sun Oct 11 12:30:52 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Oct 11 12:30:52 2026 random seeds: d12022af 3a3437de
  5. Sun Oct 11 12:30:52 2026 MPI process 0 of 1
  6. Sun Oct 11 12:30:52 2026 Using 32 OpenMP threads
  7. Sun Oct 11 12:30:52 2026 factoring 158829482068495969719887968778819236275740555501183845768915589006373437646354065907559475729608266514551865496244077274404684847744709741549670733348355241961667862667013895308401073 (183 digits)
  8. Sun Oct 11 12:30:53 2026 searching for 15-digit factors
  9. Sun Oct 11 12:30:54 2026 commencing number field sieve (183-digit input)
  10. Sun Oct 11 12:30:54 2026 R0: -95746879018260341938508017337687532
  11. Sun Oct 11 12:30:54 2026 R1: 6439388377075387917306753197
  12. Sun Oct 11 12:30:54 2026 A0: -23901225265834409947907535142829553337540
  13. Sun Oct 11 12:30:54 2026 A1: 14408886369299635859321163144487819
  14. Sun Oct 11 12:30:54 2026 A2: 9553794089576932069920218810
  15. Sun Oct 11 12:30:54 2026 A3: -19762768765349749600117
  16. Sun Oct 11 12:30:54 2026 A4: -737768385023728
  17. Sun Oct 11 12:30:54 2026 A5: 451651200
  18. Sun Oct 11 12:30:54 2026 skew 3398883.79, size 7.037e-18, alpha -6.849, combined = 5.854e-14 rroots = 3
  19. Sun Oct 11 12:30:54 2026
  20. Sun Oct 11 12:30:54 2026 commencing relation filtering
  21. Sun Oct 11 12:30:54 2026 setting target matrix density to 120.0
  22. Sun Oct 11 12:30:54 2026 estimated available RAM is 257736.5 MB
  23. Sun Oct 11 12:30:54 2026 commencing duplicate removal, pass 1
  24. Sun Oct 11 12:32:12 2026 error -1 reading relation 28023221
  25. Sun Oct 11 12:32:15 2026 error -1 reading relation 28904854
  26. Sun Oct 11 12:32:37 2026 error -1 reading relation 36899366
  27. Sun Oct 11 12:32:50 2026 error -1 reading relation 42036275
  28. Sun Oct 11 12:32:54 2026 error -1 reading relation 43537410
  29. Sun Oct 11 12:32:55 2026 error -1 reading relation 44047517
  30. Sun Oct 11 12:32:55 2026 error -1 reading relation 44051877
  31. Sun Oct 11 12:32:57 2026 error -1 reading relation 44535688
  32. Sun Oct 11 12:33:25 2026 error -1 reading relation 54539856
  33. Sun Oct 11 12:33:35 2026 error -1 reading relation 58843060
  34. Sun Oct 11 12:33:57 2026 error -1 reading relation 66575892
  35. Sun Oct 11 12:34:03 2026 error -1 reading relation 68499347
  36. Sun Oct 11 12:34:38 2026 error -1 reading relation 81553363
  37. Sun Oct 11 12:34:49 2026 error -1 reading relation 85399972
  38. Sun Oct 11 12:35:00 2026 error -1 reading relation 89747417
  39. Sun Oct 11 12:35:15 2026 error -15 reading relation 95126040
  40. Sun Oct 11 12:35:29 2026 error -1 reading relation 100543633
  41. Sun Oct 11 12:35:44 2026 error -1 reading relation 106287827
  42. Sun Oct 11 12:35:48 2026 error -1 reading relation 108068362
  43. Sun Oct 11 12:35:49 2026 error -1 reading relation 108123406
  44. Sun Oct 11 12:36:29 2026 error -1 reading relation 123571017
  45. Sun Oct 11 12:36:37 2026 error -5 reading relation 126719243
  46. Sun Oct 11 12:36:46 2026 error -1 reading relation 129904634
  47. Sun Oct 11 12:36:46 2026 error -1 reading relation 130093428
  48. Sun Oct 11 12:36:54 2026 error -1 reading relation 133212130
  49. Sun Oct 11 12:37:28 2026 error -1 reading relation 145727073
  50. Sun Oct 11 12:37:34 2026 error -1 reading relation 147819666
  51. Sun Oct 11 12:37:57 2026 error -1 reading relation 156694698
  52. Sun Oct 11 12:38:08 2026 error -1 reading relation 160935158
  53. Sun Oct 11 12:38:13 2026 error -11 reading relation 162867011
  54. Sun Oct 11 12:38:37 2026 error -15 reading relation 172192774
  55. Sun Oct 11 12:39:17 2026 error -5 reading relation 187047194
  56. Sun Oct 11 12:39:23 2026 error -1 reading relation 189437963
  57. Sun Oct 11 12:39:29 2026 error -1 reading relation 191479877
  58. Sun Oct 11 12:39:35 2026 error -1 reading relation 193801734
  59. Sun Oct 11 12:39:39 2026 error -1 reading relation 195565897
  60. Sun Oct 11 12:39:39 2026 error -1 reading relation 195567453
  61. Sun Oct 11 12:39:47 2026 error -1 reading relation 198476812
  62. Sun Oct 11 12:39:57 2026 error -1 reading relation 202409261
  63. Sun Oct 11 12:40:11 2026 error -1 reading relation 207797254
  64. Sun Oct 11 12:40:23 2026 error -1 reading relation 212291829
  65. Sun Oct 11 12:40:24 2026 error -1 reading relation 212915760
  66. Sun Oct 11 12:40:34 2026 error -1 reading relation 216412710
  67. Sun Oct 11 12:40:38 2026 error -1 reading relation 217886564
  68. Sun Oct 11 12:40:38 2026 error -1 reading relation 217921297
  69. Sun Oct 11 12:40:40 2026 error -1 reading relation 218823453
  70. Sun Oct 11 12:40:41 2026 error -1 reading relation 219005254
  71. Sun Oct 11 12:41:26 2026 error -1 reading relation 235345509
  72. Sun Oct 11 12:41:44 2026 error -1 reading relation 242162377
  73. Sun Oct 11 12:41:49 2026 error -1 reading relation 244121584
  74. Sun Oct 11 12:41:56 2026 error -1 reading relation 246423619
  75. Sun Oct 11 12:41:57 2026 error -1 reading relation 246926089
  76. Sun Oct 11 12:42:16 2026 error -1 reading relation 253964264
  77. Sun Oct 11 12:42:38 2026 error -1 reading relation 262334596
  78. Sun Oct 11 12:42:47 2026 error -15 reading relation 265752276
  79. Sun Oct 11 12:42:47 2026 error -1 reading relation 265752277
  80. Sun Oct 11 12:43:06 2026 error -1 reading relation 272631378
  81. Sun Oct 11 12:43:20 2026 error -1 reading relation 277855003
  82. Sun Oct 11 12:43:22 2026 error -1 reading relation 278653900
  83. Sun Oct 11 12:43:53 2026 error -1 reading relation 289785618
  84. Sun Oct 11 12:44:22 2026 error -1 reading relation 299532816
  85. Sun Oct 11 12:44:28 2026 error -1 reading relation 301761778
  86. Sun Oct 11 12:44:36 2026 error -1 reading relation 304757747
  87. Sun Oct 11 12:44:45 2026 error -1 reading relation 308353870
  88. Sun Oct 11 12:44:48 2026 skipped 1 relations with composite factors
  89. Sun Oct 11 12:44:48 2026 skipped 504 malformed relations
  90. Sun Oct 11 12:44:48 2026 found 67321046 hash collisions in 309494501 relations
  91. Sun Oct 11 12:45:30 2026 added 121735 free relations
  92. Sun Oct 11 12:45:30 2026 commencing duplicate removal, pass 2
  93. Sun Oct 11 12:57:29 2026 found 68082385 duplicates and 241533851 unique relations
  94. Sun Oct 11 12:57:29 2026 memory use: 1449.5 MB
  95. Sun Oct 11 12:57:29 2026 reading ideals above 720000
  96. Sun Oct 11 12:57:30 2026 commencing singleton removal, initial pass
  97. Sun Oct 11 13:43:25 2026 memory use: 6024.0 MB
  98. Sun Oct 11 13:43:27 2026 reading all ideals from disk
  99. Sun Oct 11 13:43:36 2026 memory use: 11876.5 MB
  100. Sun Oct 11 13:45:27 2026 keeping 241812066 ideals with weight <= 200, target excess is 1278396
  101. Sun Oct 11 13:47:28 2026 commencing in-memory singleton removal
  102. Sun Oct 11 13:47:34 2026 begin with 241533851 relations and 241812066 unique ideals
  103. Sun Oct 11 13:48:05 2026 reduce to 133748750 relations and 121307779 ideals in 17 passes
  104. Sun Oct 11 13:48:05 2026 max relations containing the same ideal: 142
  105. Sun Oct 11 13:50:53 2026 removing 13828714 relations and 11828714 ideals in 2000000 cliques
  106. Sun Oct 11 13:51:05 2026 commencing in-memory singleton removal
  107. Sun Oct 11 13:51:09 2026 begin with 119920036 relations and 121307779 unique ideals
  108. Sun Oct 11 13:51:22 2026 reduce to 118722437 relations and 108257515 ideals in 10 passes
  109. Sun Oct 11 13:51:22 2026 max relations containing the same ideal: 135
  110. Sun Oct 11 13:53:28 2026 removing 10658846 relations and 8658846 ideals in 2000000 cliques
  111. Sun Oct 11 13:53:37 2026 commencing in-memory singleton removal
  112. Sun Oct 11 13:53:40 2026 begin with 108063591 relations and 108257515 unique ideals
  113. Sun Oct 11 13:53:49 2026 reduce to 107231940 relations and 98752561 ideals in 9 passes
  114. Sun Oct 11 13:53:49 2026 max relations containing the same ideal: 122
  115. Sun Oct 11 13:56:02 2026 removing 9740293 relations and 7740293 ideals in 2000000 cliques
  116. Sun Oct 11 13:56:13 2026 commencing in-memory singleton removal
  117. Sun Oct 11 13:56:16 2026 begin with 97491647 relations and 98752561 unique ideals
  118. Sun Oct 11 13:56:26 2026 reduce to 96712515 relations and 90219151 ideals in 9 passes
  119. Sun Oct 11 13:56:26 2026 max relations containing the same ideal: 116
  120. Sun Oct 11 13:58:14 2026 removing 9324153 relations and 7324153 ideals in 2000000 cliques
  121. Sun Oct 11 13:58:22 2026 commencing in-memory singleton removal
  122. Sun Oct 11 13:58:25 2026 begin with 87388362 relations and 90219151 unique ideals
  123. Sun Oct 11 13:58:33 2026 reduce to 86595310 relations and 82086831 ideals in 9 passes
  124. Sun Oct 11 13:58:33 2026 max relations containing the same ideal: 108
  125. Sun Oct 11 14:00:20 2026 removing 9128878 relations and 7128878 ideals in 2000000 cliques
  126. Sun Oct 11 14:00:28 2026 commencing in-memory singleton removal
  127. Sun Oct 11 14:00:31 2026 begin with 77466432 relations and 82086831 unique ideals
  128. Sun Oct 11 14:00:39 2026 reduce to 76611658 relations and 74085294 ideals in 10 passes
  129. Sun Oct 11 14:00:39 2026 max relations containing the same ideal: 99
  130. Sun Oct 11 14:02:01 2026 removing 5460561 relations and 4417137 ideals in 1043424 cliques
  131. Sun Oct 11 14:02:07 2026 commencing in-memory singleton removal
  132. Sun Oct 11 14:02:08 2026 begin with 71151097 relations and 74085294 unique ideals
  133. Sun Oct 11 14:02:15 2026 reduce to 70831151 relations and 69344307 ideals in 9 passes
  134. Sun Oct 11 14:02:15 2026 max relations containing the same ideal: 93
  135. Sun Oct 11 14:03:52 2026 relations with 0 large ideals: 4648
  136. Sun Oct 11 14:03:52 2026 relations with 1 large ideals: 16257
  137. Sun Oct 11 14:03:52 2026 relations with 2 large ideals: 254043
  138. Sun Oct 11 14:03:52 2026 relations with 3 large ideals: 1716561
  139. Sun Oct 11 14:03:52 2026 relations with 4 large ideals: 6348092
  140. Sun Oct 11 14:03:52 2026 relations with 5 large ideals: 14055556
  141. Sun Oct 11 14:03:52 2026 relations with 6 large ideals: 19444276
  142. Sun Oct 11 14:03:52 2026 relations with 7+ large ideals: 28991718
  143. Sun Oct 11 14:03:52 2026 commencing 2-way merge
  144. Sun Oct 11 14:05:41 2026 reduce to 44025375 relation sets and 42538531 unique ideals
  145. Sun Oct 11 14:05:41 2026 commencing full merge
  146. Sun Oct 11 14:43:22 2026 memory use: 5153.8 MB
  147. Sun Oct 11 14:43:31 2026 found 19408399 cycles, need 19358731
  148. Sun Oct 11 14:43:42 2026 weight of 19358731 cycles is about 2323637580 (120.03/cycle)
  149. Sun Oct 11 14:43:42 2026 distribution of cycle lengths:
  150. Sun Oct 11 14:43:42 2026 1 relations: 1498407
  151. Sun Oct 11 14:43:42 2026 2 relations: 1500835
  152. Sun Oct 11 14:43:42 2026 3 relations: 1527650
  153. Sun Oct 11 14:43:42 2026 4 relations: 1464151
  154. Sun Oct 11 14:43:42 2026 5 relations: 1409574
  155. Sun Oct 11 14:43:42 2026 6 relations: 1346276
  156. Sun Oct 11 14:43:42 2026 7 relations: 1255453
  157. Sun Oct 11 14:43:42 2026 8 relations: 1182244
  158. Sun Oct 11 14:43:42 2026 9 relations: 1094800
  159. Sun Oct 11 14:43:42 2026 10+ relations: 7079341
  160. Sun Oct 11 14:43:42 2026 heaviest cycle: 28 relations
  161. Sun Oct 11 14:43:56 2026 commencing cycle optimization
  162. Sun Oct 11 14:45:36 2026 start with 161837649 relations
  163. Sun Oct 11 14:58:08 2026 pruned 6170442 relations
  164. Sun Oct 11 14:58:09 2026 memory use: 4548.2 MB
  165. Sun Oct 11 14:58:09 2026 distribution of cycle lengths:
  166. Sun Oct 11 14:58:09 2026 1 relations: 1498407
  167. Sun Oct 11 14:58:09 2026 2 relations: 1540232
  168. Sun Oct 11 14:58:09 2026 3 relations: 1590710
  169. Sun Oct 11 14:58:09 2026 4 relations: 1516889
  170. Sun Oct 11 14:58:09 2026 5 relations: 1467550
  171. Sun Oct 11 14:58:09 2026 6 relations: 1392934
  172. Sun Oct 11 14:58:09 2026 7 relations: 1302272
  173. Sun Oct 11 14:58:09 2026 8 relations: 1217247
  174. Sun Oct 11 14:58:09 2026 9 relations: 1124559
  175. Sun Oct 11 14:58:09 2026 10+ relations: 6707931
  176. Sun Oct 11 14:58:09 2026 heaviest cycle: 28 relations
  177. Sun Oct 11 14:59:17 2026 RelProcTime: 8903
  178. Sun Oct 11 14:59:17 2026
  179. Sun Oct 11 14:59:17 2026 commencing linear algebra
  180. Sun Oct 11 14:59:17 2026 using VBITS=256
  181. Sun Oct 11 14:59:17 2026 stopping after matrix build
  182. Sun Oct 11 14:59:17 2026 initialized process (0,0) of 1 x 1 grid
  183. Sun Oct 11 14:59:22 2026 read 19358731 cycles
  184. Sun Oct 11 15:00:44 2026 cycles contain 69725892 unique relations
  185. Sun Oct 11 15:08:11 2026 read 69725892 relations
  186. Sun Oct 11 15:08:24 2026 using 20 quadratic characters above 4294917295
  187. Sun Oct 11 15:08:36 2026 building initial matrix
  188. Sun Oct 11 15:43:42 2026 memory use: 9654.3 MB
  189. Sun Oct 11 15:44:10 2026 read 19358731 cycles
  190. Sun Oct 11 15:44:16 2026 matrix is 19358552 x 19358731 (9209.9 MB) with weight 2823387334 (145.85/col)
  191. Sun Oct 11 15:44:16 2026 sparse part has weight 2182007084 (112.71/col)
  192. Sun Oct 11 15:56:23 2026 filtering completed in 2 passes
  193. Sun Oct 11 15:56:33 2026 matrix is 19357382 x 19357560 (9209.8 MB) with weight 2823330628 (145.85/col)
  194. Sun Oct 11 15:56:33 2026 sparse part has weight 2181993021 (112.72/col)
  195. Sun Oct 11 15:59:21 2026 BLanczosTime: 3604
  196. Sun Oct 11 15:59:21 2026 elapsed time 03:28:29
  197. Sun Oct 11 18:32:58 2026
  198. Sun Oct 11 18:32:58 2026
  199. Sun Oct 11 18:32:58 2026 Msieve v. 1.54 (SVN Unversioned directory)
  200. Sun Oct 11 18:32:58 2026 random seeds: ce2d4152 73e7ce1f
  201. Sun Oct 11 18:32:58 2026 MPI process 0 of 1
  202. Sun Oct 11 18:32:58 2026 Using 64 OpenMP threads
  203. Sun Oct 11 18:32:58 2026 factoring 158829482068495969719887968778819236275740555501183845768915589006373437646354065907559475729608266514551865496244077274404684847744709741549670733348355241961667862667013895308401073 (183 digits)
  204. Sun Oct 11 18:32:59 2026 searching for 15-digit factors
  205. Sun Oct 11 18:33:00 2026 commencing number field sieve (183-digit input)
  206. Sun Oct 11 18:33:00 2026 R0: -95746879018260341938508017337687532
  207. Sun Oct 11 18:33:00 2026 R1: 6439388377075387917306753197
  208. Sun Oct 11 18:33:00 2026 A0: -23901225265834409947907535142829553337540
  209. Sun Oct 11 18:33:00 2026 A1: 14408886369299635859321163144487819
  210. Sun Oct 11 18:33:00 2026 A2: 9553794089576932069920218810
  211. Sun Oct 11 18:33:00 2026 A3: -19762768765349749600117
  212. Sun Oct 11 18:33:00 2026 A4: -737768385023728
  213. Sun Oct 11 18:33:00 2026 A5: 451651200
  214. Sun Oct 11 18:33:00 2026 skew 3398883.79, size 7.037e-18, alpha -6.849, combined = 5.854e-14 rroots = 3
  215. Sun Oct 11 18:33:00 2026
  216. Sun Oct 11 18:33:00 2026 commencing linear algebra
  217. Sun Oct 11 18:33:00 2026 using VBITS=256
  218. Sun Oct 11 18:33:00 2026 skipping matrix build
  219. Sun Oct 11 18:33:00 2026 initialized process (0,0) of 1 x 1 grid
  220. Sun Oct 11 18:33:09 2026 matrix starts at (0, 0)
  221. Sun Oct 11 18:33:12 2026 matrix is 19357382 x 19357560 (9209.8 MB) with weight 2823330628 (145.85/col)
  222. Sun Oct 11 18:33:12 2026 sparse part has weight 2181993021 (112.72/col)
  223. Sun Oct 11 18:33:12 2026 saving the first 240 matrix rows for later
  224. Sun Oct 11 18:33:16 2026 matrix includes 256 packed rows
  225. Sun Oct 11 18:33:22 2026 matrix is 19357142 x 19357560 (8436.3 MB) with weight 2018325549 (104.27/col)
  226. Sun Oct 11 18:33:22 2026 sparse part has weight 1901796755 (98.25/col)
  227. Sun Oct 11 18:33:22 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  228. Sun Oct 11 18:34:08 2026 commencing Lanczos iteration (64 threads)
  229. Sun Oct 11 18:34:08 2026 memory use: 12176.8 MB
  230. Sun Oct 11 18:37:04 2026 linear algebra at 0.2%, ETA 30h19m
  231. Sun Oct 11 18:41:14 2026 checking every 10000 dimensions, checkpointing every 660000 dimensions
  232. Tue Oct 13 00:03:31 2026 lanczos halted after 75842 iterations (dim = 19357140)
  233. Tue Oct 13 00:04:59 2026 recovered 32 nontrivial dependencies
  234. Tue Oct 13 00:05:02 2026 BLanczosTime: 106322
  235. Tue Oct 13 00:05:02 2026
  236. Tue Oct 13 00:05:02 2026 commencing square root phase
  237. Tue Oct 13 00:05:02 2026 handling dependencies 1 to 64
  238. Tue Oct 13 00:05:02 2026 reading relations for dependency 1
  239. Tue Oct 13 00:05:03 2026 read 9679248 cycles
  240. Tue Oct 13 00:05:19 2026 cycles contain 34861862 unique relations
  241. Tue Oct 13 00:09:26 2026 read 34861862 relations
  242. Tue Oct 13 00:11:43 2026 multiplying 34861862 relations
  243. Tue Oct 13 00:20:12 2026 multiply complete, coefficients have about 2305.96 million bits
  244. Tue Oct 13 00:20:24 2026 initial square root is modulo 148663
  245. Tue Oct 13 00:54:42 2026 GCD is 1, no factor found
  246. Tue Oct 13 00:54:42 2026 reading relations for dependency 2
  247. Tue Oct 13 00:54:47 2026 read 9678176 cycles
  248. Tue Oct 13 00:55:31 2026 cycles contain 34863090 unique relations
  249. Tue Oct 13 01:02:44 2026 read 34863090 relations
  250. Tue Oct 13 01:09:59 2026 multiplying 34863090 relations
  251. Tue Oct 13 01:18:34 2026 multiply complete, coefficients have about 2306.03 million bits
  252. Tue Oct 13 01:18:45 2026 initial square root is modulo 148663
  253. Tue Oct 13 01:52:33 2026 GCD is 1, no factor found
  254. Tue Oct 13 01:52:33 2026 reading relations for dependency 3
  255. Tue Oct 13 01:52:38 2026 read 9680513 cycles
  256. Tue Oct 13 01:53:23 2026 cycles contain 34865692 unique relations
  257. Tue Oct 13 02:00:42 2026 read 34865692 relations
  258. Tue Oct 13 02:07:25 2026 multiplying 34865692 relations
  259. Tue Oct 13 02:16:05 2026 multiply complete, coefficients have about 2306.19 million bits
  260. Tue Oct 13 02:16:16 2026 initial square root is modulo 148793
  261. Tue Oct 13 02:50:11 2026 sqrtTime: 9909
  262. Tue Oct 13 02:50:11 2026 p59 factor: 63408705392338016364362451011516563619656579208551083257329
  263. Tue Oct 13 02:50:11 2026 p124 factor: 2504852939131100947365960286814387735408290298025266055327709132543616811536889794202677684851730529436663235428589653043137
  264. Tue Oct 13 02:50:11 2026 elapsed time 32:17:13
  265.  
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