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Jul 6th, 2026
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  1. Sat Jul 4 20:43:20 2026
  2. Sat Jul 4 20:43:20 2026
  3. Sat Jul 4 20:43:20 2026 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sat Jul 4 20:43:20 2026 random seeds: b9aeb006 b488ab21
  5. Sat Jul 4 20:43:20 2026 MPI process 0 of 1
  6. Sat Jul 4 20:43:20 2026 Using 32 OpenMP threads
  7. Sat Jul 4 20:43:20 2026 factoring 36532627872723397220924612783219427750034913411877009424684750970937912387538796949984805205680103756809252308447017734535245795862160463218853331172375606097428994041315452226569 (179 digits)
  8. Sat Jul 4 20:43:21 2026 searching for 15-digit factors
  9. Sat Jul 4 20:43:22 2026 commencing number field sieve (179-digit input)
  10. Sat Jul 4 20:43:22 2026 reversing signs of algebraic polynomial
  11. Sat Jul 4 20:43:22 2026 R0: -40043940384705616574902913766280711
  12. Sat Jul 4 20:43:22 2026 R1: 251001655221225737101867
  13. Sat Jul 4 20:43:22 2026 A0: -250258816044948129226751440396172116787328
  14. Sat Jul 4 20:43:22 2026 A1: 454640665854649291158865933243096008
  15. Sat Jul 4 20:43:22 2026 A2: 43466781186496172551468325757
  16. Sat Jul 4 20:43:22 2026 A3: -1266575689064654719772
  17. Sat Jul 4 20:43:22 2026 A4: -14215996753418
  18. Sat Jul 4 20:43:22 2026 A5: 354900
  19. Sat Jul 4 20:43:22 2026 skew 36985496.33, size 2.429e-17, alpha -6.882, combined = 1.235e-13 rroots = 5
  20. Sat Jul 4 20:43:22 2026
  21. Sat Jul 4 20:43:22 2026 commencing relation filtering
  22. Sat Jul 4 20:43:22 2026 setting target matrix density to 130.0
  23. Sat Jul 4 20:43:22 2026 reversing signs of algebraic polynomial
  24. Sat Jul 4 20:43:22 2026 estimated available RAM is 257736.5 MB
  25. Sat Jul 4 20:43:22 2026 commencing duplicate removal, pass 1
  26. Sat Jul 4 20:43:48 2026 error -1 reading relation 8456659
  27. Sat Jul 4 20:44:33 2026 error -1 reading relation 23476091
  28. Sat Jul 4 20:45:00 2026 error -1 reading relation 31747030
  29. Sat Jul 4 20:45:18 2026 error -1 reading relation 37181029
  30. Sat Jul 4 20:45:20 2026 error -1 reading relation 37928630
  31. Sat Jul 4 20:45:37 2026 error -1 reading relation 43611807
  32. Sat Jul 4 20:46:18 2026 error -1 reading relation 58242653
  33. Sat Jul 4 20:46:20 2026 error -1 reading relation 58767693
  34. Sat Jul 4 20:47:20 2026 error -1 reading relation 80507281
  35. Sat Jul 4 20:48:12 2026 error -1 reading relation 98726135
  36. Sat Jul 4 20:48:17 2026 error -1 reading relation 100774608
  37. Sat Jul 4 20:48:21 2026 error -1 reading relation 102306560
  38. Sat Jul 4 20:48:24 2026 error -1 reading relation 103760715
  39. Sat Jul 4 20:48:25 2026 error -1 reading relation 104126222
  40. Sat Jul 4 20:48:52 2026 error -1 reading relation 114094121
  41. Sat Jul 4 20:49:01 2026 error -1 reading relation 117324019
  42. Sat Jul 4 20:49:15 2026 error -1 reading relation 122887308
  43. Sat Jul 4 20:50:25 2026 error -1 reading relation 148937778
  44. Sat Jul 4 20:53:35 2026 error -1 reading relation 216488175
  45. Sat Jul 4 20:54:05 2026 error -1 reading relation 226936038
  46. Sat Jul 4 20:54:06 2026 error -1 reading relation 227172739
  47. Sat Jul 4 20:54:18 2026 error -1 reading relation 231290668
  48. Sat Jul 4 20:55:21 2026 error -1 reading relation 253855005
  49. Sat Jul 4 20:56:18 2026 error -1 reading relation 272993251
  50. Sat Jul 4 20:56:19 2026 error -1 reading relation 273373128
  51. Sat Jul 4 20:57:16 2026 error -1 reading relation 292976271
  52. Sat Jul 4 20:57:16 2026 error -15 reading relation 293200915
  53. Sat Jul 4 20:58:15 2026 error -1 reading relation 313038642
  54. Sat Jul 4 20:58:36 2026 error -1 reading relation 320168325
  55. Sat Jul 4 20:58:45 2026 skipped 1 relations with b > 2^32
  56. Sat Jul 4 20:58:45 2026 skipped 184 malformed relations
  57. Sat Jul 4 20:58:45 2026 found 69832430 hash collisions in 323226656 relations
  58. Sat Jul 4 20:59:25 2026 added 121028 free relations
  59. Sat Jul 4 20:59:25 2026 commencing duplicate removal, pass 2
  60. Sat Jul 4 21:12:09 2026 found 75254979 duplicates and 248092705 unique relations
  61. Sat Jul 4 21:12:09 2026 memory use: 1705.5 MB
  62. Sat Jul 4 21:12:10 2026 reading ideals above 720000
  63. Sat Jul 4 21:12:10 2026 commencing singleton removal, initial pass
  64. Sat Jul 4 21:58:49 2026 memory use: 6024.0 MB
  65. Sat Jul 4 21:58:50 2026 reading all ideals from disk
  66. Sat Jul 4 21:59:00 2026 memory use: 11909.5 MB
  67. Sat Jul 4 22:00:26 2026 keeping 240548832 ideals with weight <= 200, target excess is 1306239
  68. Sat Jul 4 22:02:03 2026 commencing in-memory singleton removal
  69. Sat Jul 4 22:02:11 2026 begin with 248092705 relations and 240548832 unique ideals
  70. Sun Jul 5 00:35:37 2026 reduce to 141995426 relations and 122191045 ideals in 15 passes
  71. Sun Jul 5 00:35:37 2026 max relations containing the same ideal: 145
  72. Sun Jul 5 00:38:02 2026 removing 12902101 relations and 10902101 ideals in 2000000 cliques
  73. Sun Jul 5 00:38:12 2026 commencing in-memory singleton removal
  74. Sun Jul 5 00:38:16 2026 begin with 129093325 relations and 122191045 unique ideals
  75. Sun Jul 5 00:38:27 2026 reduce to 128160267 relations and 110338781 ideals in 9 passes
  76. Sun Jul 5 00:38:27 2026 max relations containing the same ideal: 136
  77. Sun Jul 5 00:40:44 2026 removing 9862329 relations and 7862329 ideals in 2000000 cliques
  78. Sun Jul 5 00:40:54 2026 commencing in-memory singleton removal
  79. Sun Jul 5 00:40:57 2026 begin with 118297938 relations and 110338781 unique ideals
  80. Sun Jul 5 00:41:08 2026 reduce to 117664325 relations and 101832624 ideals in 9 passes
  81. Sun Jul 5 00:41:08 2026 max relations containing the same ideal: 130
  82. Sun Jul 5 00:43:21 2026 removing 8954896 relations and 6954896 ideals in 2000000 cliques
  83. Sun Jul 5 00:43:30 2026 commencing in-memory singleton removal
  84. Sun Jul 5 00:43:34 2026 begin with 108709429 relations and 101832624 unique ideals
  85. Sun Jul 5 00:43:44 2026 reduce to 108137005 relations and 94296081 ideals in 8 passes
  86. Sun Jul 5 00:43:44 2026 max relations containing the same ideal: 124
  87. Sun Jul 5 00:45:42 2026 removing 8510170 relations and 6510170 ideals in 2000000 cliques
  88. Sun Jul 5 00:45:51 2026 commencing in-memory singleton removal
  89. Sun Jul 5 00:45:53 2026 begin with 99626835 relations and 94296081 unique ideals
  90. Sun Jul 5 00:46:02 2026 reduce to 99065082 relations and 87214476 ideals in 8 passes
  91. Sun Jul 5 00:46:02 2026 max relations containing the same ideal: 115
  92. Sun Jul 5 00:47:41 2026 removing 8261522 relations and 6261522 ideals in 2000000 cliques
  93. Sun Jul 5 00:47:48 2026 commencing in-memory singleton removal
  94. Sun Jul 5 00:47:50 2026 begin with 90803560 relations and 87214476 unique ideals
  95. Sun Jul 5 00:47:57 2026 reduce to 90226305 relations and 80365303 ideals in 9 passes
  96. Sun Jul 5 00:47:57 2026 max relations containing the same ideal: 106
  97. Sun Jul 5 00:49:25 2026 removing 8132626 relations and 6132626 ideals in 2000000 cliques
  98. Sun Jul 5 00:49:32 2026 commencing in-memory singleton removal
  99. Sun Jul 5 00:49:34 2026 begin with 82093679 relations and 80365303 unique ideals
  100. Sun Jul 5 00:49:39 2026 reduce to 81477401 relations and 73604256 ideals in 8 passes
  101. Sun Jul 5 00:49:39 2026 max relations containing the same ideal: 102
  102. Sun Jul 5 00:50:45 2026 removing 8085932 relations and 6085932 ideals in 2000000 cliques
  103. Sun Jul 5 00:50:51 2026 commencing in-memory singleton removal
  104. Sun Jul 5 00:50:52 2026 begin with 73391469 relations and 73604256 unique ideals
  105. Sun Jul 5 00:50:58 2026 reduce to 72714430 relations and 66826851 ideals in 9 passes
  106. Sun Jul 5 00:50:58 2026 max relations containing the same ideal: 92
  107. Sun Jul 5 00:52:10 2026 removing 8115971 relations and 6115971 ideals in 2000000 cliques
  108. Sun Jul 5 00:52:16 2026 commencing in-memory singleton removal
  109. Sun Jul 5 00:52:17 2026 begin with 64598459 relations and 66826851 unique ideals
  110. Sun Jul 5 00:52:22 2026 reduce to 63828122 relations and 59922360 ideals in 9 passes
  111. Sun Jul 5 00:52:22 2026 max relations containing the same ideal: 86
  112. Sun Jul 5 00:53:28 2026 removing 8210721 relations and 6210721 ideals in 2000000 cliques
  113. Sun Jul 5 00:53:34 2026 commencing in-memory singleton removal
  114. Sun Jul 5 00:53:35 2026 begin with 55617401 relations and 59922360 unique ideals
  115. Sun Jul 5 00:53:40 2026 reduce to 54698311 relations and 52767161 ideals in 9 passes
  116. Sun Jul 5 00:53:40 2026 max relations containing the same ideal: 78
  117. Sun Jul 5 00:54:37 2026 removing 2465305 relations and 2049393 ideals in 415912 cliques
  118. Sun Jul 5 00:54:40 2026 commencing in-memory singleton removal
  119. Sun Jul 5 00:54:41 2026 begin with 52233006 relations and 52767161 unique ideals
  120. Sun Jul 5 00:54:45 2026 reduce to 52149456 relations and 50633659 ideals in 7 passes
  121. Sun Jul 5 00:54:45 2026 max relations containing the same ideal: 75
  122. Sun Jul 5 00:55:55 2026 relations with 0 large ideals: 4628
  123. Sun Jul 5 00:55:55 2026 relations with 1 large ideals: 28204
  124. Sun Jul 5 00:55:55 2026 relations with 2 large ideals: 388924
  125. Sun Jul 5 00:55:55 2026 relations with 3 large ideals: 2268618
  126. Sun Jul 5 00:55:55 2026 relations with 4 large ideals: 7071460
  127. Sun Jul 5 00:55:55 2026 relations with 5 large ideals: 12937319
  128. Sun Jul 5 00:55:55 2026 relations with 6 large ideals: 14476320
  129. Sun Jul 5 00:55:55 2026 relations with 7+ large ideals: 14973983
  130. Sun Jul 5 00:55:55 2026 commencing 2-way merge
  131. Sun Jul 5 00:57:06 2026 reduce to 31799803 relation sets and 30284006 unique ideals
  132. Sun Jul 5 00:57:06 2026 commencing full merge
  133. Sun Jul 5 01:23:38 2026 memory use: 3521.3 MB
  134. Sun Jul 5 01:23:44 2026 found 13409328 cycles, need 13376206
  135. Sun Jul 5 01:23:53 2026 weight of 13376206 cycles is about 1739387497 (130.04/cycle)
  136. Sun Jul 5 01:23:53 2026 distribution of cycle lengths:
  137. Sun Jul 5 01:23:53 2026 1 relations: 918856
  138. Sun Jul 5 01:23:53 2026 2 relations: 843902
  139. Sun Jul 5 01:23:53 2026 3 relations: 882270
  140. Sun Jul 5 01:23:53 2026 4 relations: 868089
  141. Sun Jul 5 01:23:53 2026 5 relations: 873648
  142. Sun Jul 5 01:23:53 2026 6 relations: 854621
  143. Sun Jul 5 01:23:53 2026 7 relations: 848372
  144. Sun Jul 5 01:23:53 2026 8 relations: 805424
  145. Sun Jul 5 01:23:53 2026 9 relations: 776405
  146. Sun Jul 5 01:23:53 2026 10+ relations: 5704619
  147. Sun Jul 5 01:23:53 2026 heaviest cycle: 28 relations
  148. Sun Jul 5 01:24:01 2026 commencing cycle optimization
  149. Sun Jul 5 01:25:22 2026 start with 123453573 relations
  150. Sun Jul 5 01:32:45 2026 pruned 5106194 relations
  151. Sun Jul 5 01:32:45 2026 memory use: 3376.9 MB
  152. Sun Jul 5 01:32:46 2026 distribution of cycle lengths:
  153. Sun Jul 5 01:32:46 2026 1 relations: 918856
  154. Sun Jul 5 01:32:46 2026 2 relations: 865926
  155. Sun Jul 5 01:32:46 2026 3 relations: 916885
  156. Sun Jul 5 01:32:46 2026 4 relations: 901256
  157. Sun Jul 5 01:32:46 2026 5 relations: 912023
  158. Sun Jul 5 01:32:46 2026 6 relations: 890973
  159. Sun Jul 5 01:32:46 2026 7 relations: 885430
  160. Sun Jul 5 01:32:46 2026 8 relations: 839681
  161. Sun Jul 5 01:32:46 2026 9 relations: 807799
  162. Sun Jul 5 01:32:46 2026 10+ relations: 5437377
  163. Sun Jul 5 01:32:46 2026 heaviest cycle: 28 relations
  164. Sun Jul 5 01:33:08 2026 RelProcTime: 17386
  165. Sun Jul 5 01:33:12 2026
  166. Sun Jul 5 01:33:12 2026 commencing linear algebra
  167. Sun Jul 5 01:33:12 2026 using VBITS=256
  168. Sun Jul 5 01:33:12 2026 stopping after matrix build
  169. Sun Jul 5 01:33:12 2026 initialized process (0,0) of 1 x 1 grid
  170. Sun Jul 5 01:33:12 2026 reversing signs of algebraic polynomial
  171. Sun Jul 5 01:33:14 2026 read 13376206 cycles
  172. Sun Jul 5 01:33:51 2026 cycles contain 51145955 unique relations
  173. Sun Jul 5 01:39:41 2026 read 51145955 relations
  174. Sun Jul 5 01:39:47 2026 using 20 quadratic characters above 4294917295
  175. Sun Jul 5 01:39:55 2026 building initial matrix
  176. Sun Jul 5 02:05:32 2026 memory use: 7005.5 MB
  177. Sun Jul 5 02:05:53 2026 read 13376206 cycles
  178. Sun Jul 5 02:05:58 2026 matrix is 13376028 x 13376206 (6789.7 MB) with weight 2069414891 (154.71/col)
  179. Sun Jul 5 02:05:58 2026 sparse part has weight 1619371150 (121.06/col)
  180. Sun Jul 5 02:13:14 2026 filtering completed in 2 passes
  181. Sun Jul 5 02:13:20 2026 matrix is 13375540 x 13375718 (6789.7 MB) with weight 2069391573 (154.71/col)
  182. Sun Jul 5 02:13:20 2026 sparse part has weight 1619365555 (121.07/col)
  183. Sun Jul 5 02:15:29 2026 BLanczosTime: 2537
  184. Sun Jul 5 02:15:29 2026 elapsed time 05:32:09
  185. Sun Jul 5 02:25:58 2026
  186. Sun Jul 5 02:25:58 2026
  187. Sun Jul 5 02:25:58 2026 Msieve v. 1.54 (SVN Unversioned directory)
  188. Sun Jul 5 02:25:58 2026 random seeds: 09c9c034 8ed2357f
  189. Sun Jul 5 02:25:58 2026 MPI process 0 of 1
  190. Sun Jul 5 02:25:58 2026 Using 64 OpenMP threads
  191. Sun Jul 5 02:25:58 2026 factoring 36532627872723397220924612783219427750034913411877009424684750970937912387538796949984805205680103756809252308447017734535245795862160463218853331172375606097428994041315452226569 (179 digits)
  192. Sun Jul 5 02:25:59 2026 searching for 15-digit factors
  193. Sun Jul 5 02:26:00 2026 commencing number field sieve (179-digit input)
  194. Sun Jul 5 02:26:00 2026 reversing signs of algebraic polynomial
  195. Sun Jul 5 02:26:00 2026 R0: -40043940384705616574902913766280711
  196. Sun Jul 5 02:26:00 2026 R1: 251001655221225737101867
  197. Sun Jul 5 02:26:00 2026 A0: -250258816044948129226751440396172116787328
  198. Sun Jul 5 02:26:00 2026 A1: 454640665854649291158865933243096008
  199. Sun Jul 5 02:26:00 2026 A2: 43466781186496172551468325757
  200. Sun Jul 5 02:26:00 2026 A3: -1266575689064654719772
  201. Sun Jul 5 02:26:00 2026 A4: -14215996753418
  202. Sun Jul 5 02:26:00 2026 A5: 354900
  203. Sun Jul 5 02:26:00 2026 skew 36985496.33, size 2.429e-17, alpha -6.882, combined = 1.235e-13 rroots = 5
  204. Sun Jul 5 02:26:00 2026
  205. Sun Jul 5 02:26:00 2026 commencing linear algebra
  206. Sun Jul 5 02:26:00 2026 using VBITS=256
  207. Sun Jul 5 02:26:00 2026 skipping matrix build
  208. Sun Jul 5 02:26:00 2026 initialized process (0,0) of 1 x 1 grid
  209. Sun Jul 5 02:26:14 2026 matrix starts at (0, 0)
  210. Sun Jul 5 02:26:19 2026 matrix is 13375540 x 13375718 (6789.7 MB) with weight 2069391573 (154.71/col)
  211. Sun Jul 5 02:26:19 2026 sparse part has weight 1619365555 (121.07/col)
  212. Sun Jul 5 02:26:19 2026 saving the first 240 matrix rows for later
  213. Sun Jul 5 02:26:24 2026 matrix includes 256 packed rows
  214. Sun Jul 5 02:26:29 2026 matrix is 13375300 x 13375718 (6182.9 MB) with weight 1494083756 (111.70/col)
  215. Sun Jul 5 02:26:29 2026 sparse part has weight 1406798540 (105.18/col)
  216. Sun Jul 5 02:26:29 2026 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  217. Sun Jul 5 02:27:00 2026 commencing Lanczos iteration (64 threads)
  218. Sun Jul 5 02:27:00 2026 memory use: 8718.0 MB
  219. Sun Jul 5 02:28:57 2026 linear algebra at 0.2%, ETA 13h54m
  220. Sun Jul 5 02:31:45 2026 checking every 10000 dimensions, checkpointing every 980000 dimensions
  221. Sun Jul 5 16:01:17 2026 lanczos halted after 52404 iterations (dim = 13375300)
  222. Sun Jul 5 16:01:59 2026 recovered 28 nontrivial dependencies
  223. Sun Jul 5 16:02:00 2026 BLanczosTime: 48960
  224. Sun Jul 5 16:02:00 2026
  225. Sun Jul 5 16:02:00 2026 commencing square root phase
  226. Sun Jul 5 16:02:00 2026 reversing signs of algebraic polynomial
  227. Sun Jul 5 16:02:00 2026 handling dependencies 1 to 64
  228. Sun Jul 5 16:02:00 2026 reading relations for dependency 1
  229. Sun Jul 5 16:02:01 2026 read 6686258 cycles
  230. Sun Jul 5 16:02:16 2026 cycles contain 25561986 unique relations
  231. Sun Jul 5 16:09:36 2026 read 25561986 relations
  232. Sun Jul 5 16:14:33 2026 multiplying 25561986 relations
  233. Sun Jul 5 16:20:24 2026 multiply complete, coefficients have about 1449.76 million bits
  234. Sun Jul 5 16:20:31 2026 initial square root is modulo 3186037
  235. Sun Jul 5 16:40:58 2026 sqrtTime: 2338
  236. Sun Jul 5 16:40:58 2026 p65 factor: 10350993202467931869294445985790376223177049778664274687901451659
  237. Sun Jul 5 16:40:58 2026 p115 factor: 3529383814493581004976788819512798272579974565133986143055005695151925243651862049319260284049601047228200994418491
  238. Sun Jul 5 16:40:58 2026 elapsed time 14:15:00
  239.  
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