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May 22nd, 2025
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  1. Thu May 22 02:46:00 2025
  2. Thu May 22 02:46:00 2025
  3. Thu May 22 02:46:00 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu May 22 02:46:00 2025 random seeds: 7eccd90f d5637408
  5. Thu May 22 02:46:00 2025 MPI process 0 of 1
  6. Thu May 22 02:46:00 2025 Using 32 OpenMP threads
  7. Thu May 22 02:46:00 2025 factoring 2428984403312857685186188904768348645728565506329200936211130546015547616242154355552035750709310561165387560574478681205070671209563310083707260084872763547091 (160 digits)
  8. Thu May 22 02:46:01 2025 searching for 15-digit factors
  9. Thu May 22 02:46:01 2025 commencing number field sieve (160-digit input)
  10. Thu May 22 02:46:01 2025 reversing signs of algebraic polynomial
  11. Thu May 22 02:46:01 2025 R0: 128305460658789017173493754515
  12. Thu May 22 02:46:01 2025 R1: 6929020204783082373507371
  13. Thu May 22 02:46:01 2025 A0: 788348239269412756522791403142514776
  14. Thu May 22 02:46:01 2025 A1: -6978793674841397226332923063598
  15. Thu May 22 02:46:01 2025 A2: -13988452824726568408065689
  16. Thu May 22 02:46:01 2025 A3: 49665849155461715243
  17. Thu May 22 02:46:01 2025 A4: 22977984791628
  18. Thu May 22 02:46:01 2025 A5: 1995840
  19. Thu May 22 02:46:01 2025 skew 447363.47, size 2.156e-15, alpha -7.546, combined = 1.826e-12 rroots = 5
  20. Thu May 22 02:46:01 2025
  21. Thu May 22 02:46:01 2025 commencing relation filtering
  22. Thu May 22 02:46:01 2025 setting target matrix density to 130.0
  23. Thu May 22 02:46:01 2025 reversing signs of algebraic polynomial
  24. Thu May 22 02:46:01 2025 estimated available RAM is 257736.5 MB
  25. Thu May 22 02:46:01 2025 commencing duplicate removal, pass 1
  26. Thu May 22 02:46:38 2025 error -1 reading relation 17572020
  27. Thu May 22 02:48:00 2025 error -1 reading relation 55888188
  28. Thu May 22 02:48:03 2025 error -1 reading relation 57039704
  29. Thu May 22 02:48:05 2025 error -1 reading relation 58164632
  30. Thu May 22 02:48:17 2025 error -1 reading relation 63740083
  31. Thu May 22 02:48:17 2025 error -1 reading relation 63850601
  32. Thu May 22 02:48:19 2025 error -1 reading relation 64716407
  33. Thu May 22 02:49:20 2025 error -1 reading relation 93008940
  34. Thu May 22 02:50:07 2025 skipped 60 malformed relations
  35. Thu May 22 02:50:07 2025 found 16737393 hash collisions in 114567501 relations
  36. Thu May 22 02:50:34 2025 commencing duplicate removal, pass 2
  37. Thu May 22 02:53:05 2025 found 14150099 duplicates and 100417402 unique relations
  38. Thu May 22 02:53:05 2025 memory use: 660.8 MB
  39. Thu May 22 02:53:05 2025 reading ideals above 720000
  40. Thu May 22 02:53:05 2025 commencing singleton removal, initial pass
  41. Thu May 22 03:00:13 2025 memory use: 2756.0 MB
  42. Thu May 22 03:00:14 2025 reading all ideals from disk
  43. Thu May 22 03:00:16 2025 memory use: 4484.8 MB
  44. Thu May 22 03:00:27 2025 keeping 89609194 ideals with weight <= 200, target excess is 514879
  45. Thu May 22 03:00:40 2025 commencing in-memory singleton removal
  46. Thu May 22 03:00:42 2025 begin with 100417402 relations and 89609194 unique ideals
  47. Thu May 22 03:00:51 2025 reduce to 65445045 relations and 51079061 ideals in 14 passes
  48. Thu May 22 03:00:51 2025 max relations containing the same ideal: 160
  49. Thu May 22 03:01:21 2025 removing 8622052 relations and 6622052 ideals in 2000000 cliques
  50. Thu May 22 03:01:24 2025 commencing in-memory singleton removal
  51. Thu May 22 03:01:26 2025 begin with 56822993 relations and 51079061 unique ideals
  52. Thu May 22 03:01:29 2025 reduce to 55946471 relations and 43548252 ideals in 9 passes
  53. Thu May 22 03:01:29 2025 max relations containing the same ideal: 143
  54. Thu May 22 03:01:52 2025 removing 6798329 relations and 4798329 ideals in 2000000 cliques
  55. Thu May 22 03:01:54 2025 commencing in-memory singleton removal
  56. Thu May 22 03:01:55 2025 begin with 49148142 relations and 43548252 unique ideals
  57. Thu May 22 03:01:58 2025 reduce to 48526014 relations and 38105920 ideals in 8 passes
  58. Thu May 22 03:01:58 2025 max relations containing the same ideal: 131
  59. Thu May 22 03:02:20 2025 removing 6305229 relations and 4305229 ideals in 2000000 cliques
  60. Thu May 22 03:02:23 2025 commencing in-memory singleton removal
  61. Thu May 22 03:02:23 2025 begin with 42220785 relations and 38105920 unique ideals
  62. Thu May 22 03:02:26 2025 reduce to 41645257 relations and 33203817 ideals in 8 passes
  63. Thu May 22 03:02:26 2025 max relations containing the same ideal: 121
  64. Thu May 22 03:02:45 2025 removing 6068915 relations and 4068915 ideals in 2000000 cliques
  65. Thu May 22 03:02:47 2025 commencing in-memory singleton removal
  66. Thu May 22 03:02:48 2025 begin with 35576342 relations and 33203817 unique ideals
  67. Thu May 22 03:02:50 2025 reduce to 34992958 relations and 28527070 ideals in 8 passes
  68. Thu May 22 03:02:50 2025 max relations containing the same ideal: 110
  69. Thu May 22 03:03:06 2025 removing 5925698 relations and 3925698 ideals in 2000000 cliques
  70. Thu May 22 03:03:08 2025 commencing in-memory singleton removal
  71. Thu May 22 03:03:08 2025 begin with 29067260 relations and 28527070 unique ideals
  72. Thu May 22 03:03:10 2025 reduce to 28439380 relations and 23942383 ideals in 8 passes
  73. Thu May 22 03:03:10 2025 max relations containing the same ideal: 95
  74. Thu May 22 03:03:23 2025 removing 5833175 relations and 3833175 ideals in 2000000 cliques
  75. Thu May 22 03:03:25 2025 commencing in-memory singleton removal
  76. Thu May 22 03:03:25 2025 begin with 22606205 relations and 23942383 unique ideals
  77. Thu May 22 03:03:26 2025 reduce to 21887860 relations and 19347459 ideals in 8 passes
  78. Thu May 22 03:03:26 2025 max relations containing the same ideal: 79
  79. Thu May 22 03:03:36 2025 removing 5615316 relations and 3672175 ideals in 1943141 cliques
  80. Thu May 22 03:03:38 2025 commencing in-memory singleton removal
  81. Thu May 22 03:03:38 2025 begin with 16272544 relations and 19347459 unique ideals
  82. Thu May 22 03:03:39 2025 reduce to 15430349 relations and 14767415 ideals in 9 passes
  83. Thu May 22 03:03:39 2025 max relations containing the same ideal: 63
  84. Thu May 22 03:03:46 2025 removing 370053 relations and 304379 ideals in 65674 cliques
  85. Thu May 22 03:03:47 2025 commencing in-memory singleton removal
  86. Thu May 22 03:03:47 2025 begin with 15060296 relations and 14767415 unique ideals
  87. Thu May 22 03:03:47 2025 reduce to 15053901 relations and 14456613 ideals in 6 passes
  88. Thu May 22 03:03:47 2025 max relations containing the same ideal: 63
  89. Thu May 22 03:03:49 2025 relations with 0 large ideals: 1649
  90. Thu May 22 03:03:49 2025 relations with 1 large ideals: 11137
  91. Thu May 22 03:03:49 2025 relations with 2 large ideals: 143541
  92. Thu May 22 03:03:49 2025 relations with 3 large ideals: 800069
  93. Thu May 22 03:03:49 2025 relations with 4 large ideals: 2318636
  94. Thu May 22 03:03:49 2025 relations with 5 large ideals: 3902780
  95. Thu May 22 03:03:49 2025 relations with 6 large ideals: 4034055
  96. Thu May 22 03:03:49 2025 relations with 7+ large ideals: 3842034
  97. Thu May 22 03:03:49 2025 commencing 2-way merge
  98. Thu May 22 03:03:59 2025 reduce to 9902650 relation sets and 9305362 unique ideals
  99. Thu May 22 03:03:59 2025 commencing full merge
  100. Thu May 22 03:08:01 2025 memory use: 1227.5 MB
  101. Thu May 22 03:08:02 2025 found 4418030 cycles, need 4389562
  102. Thu May 22 03:08:04 2025 weight of 4389562 cycles is about 571308287 (130.15/cycle)
  103. Thu May 22 03:08:04 2025 distribution of cycle lengths:
  104. Thu May 22 03:08:04 2025 1 relations: 90793
  105. Thu May 22 03:08:04 2025 2 relations: 218870
  106. Thu May 22 03:08:04 2025 3 relations: 283861
  107. Thu May 22 03:08:04 2025 4 relations: 307344
  108. Thu May 22 03:08:04 2025 5 relations: 324713
  109. Thu May 22 03:08:04 2025 6 relations: 328127
  110. Thu May 22 03:08:04 2025 7 relations: 325613
  111. Thu May 22 03:08:04 2025 8 relations: 312711
  112. Thu May 22 03:08:04 2025 9 relations: 295170
  113. Thu May 22 03:08:04 2025 10+ relations: 1902360
  114. Thu May 22 03:08:04 2025 heaviest cycle: 28 relations
  115. Thu May 22 03:08:05 2025 commencing cycle optimization
  116. Thu May 22 03:08:15 2025 start with 41475620 relations
  117. Thu May 22 03:09:59 2025 pruned 2176688 relations
  118. Thu May 22 03:09:59 2025 memory use: 1050.0 MB
  119. Thu May 22 03:09:59 2025 distribution of cycle lengths:
  120. Thu May 22 03:09:59 2025 1 relations: 90793
  121. Thu May 22 03:09:59 2025 2 relations: 225679
  122. Thu May 22 03:09:59 2025 3 relations: 298115
  123. Thu May 22 03:09:59 2025 4 relations: 323116
  124. Thu May 22 03:09:59 2025 5 relations: 344597
  125. Thu May 22 03:09:59 2025 6 relations: 347497
  126. Thu May 22 03:09:59 2025 7 relations: 346393
  127. Thu May 22 03:09:59 2025 8 relations: 330674
  128. Thu May 22 03:09:59 2025 9 relations: 311010
  129. Thu May 22 03:09:59 2025 10+ relations: 1771688
  130. Thu May 22 03:09:59 2025 heaviest cycle: 28 relations
  131. Thu May 22 03:10:07 2025 RelProcTime: 1446
  132. Thu May 22 03:10:07 2025
  133. Thu May 22 03:10:07 2025 commencing linear algebra
  134. Thu May 22 03:10:07 2025 using VBITS=256
  135. Thu May 22 03:10:07 2025 stopping after matrix build
  136. Thu May 22 03:10:07 2025 initialized process (0,0) of 1 x 1 grid
  137. Thu May 22 03:10:07 2025 reversing signs of algebraic polynomial
  138. Thu May 22 03:10:08 2025 read 4389562 cycles
  139. Thu May 22 03:10:16 2025 cycles contain 14749912 unique relations
  140. Thu May 22 03:12:09 2025 read 14749912 relations
  141. Thu May 22 03:12:11 2025 using 20 quadratic characters above 4294917295
  142. Thu May 22 03:12:13 2025 building initial matrix
  143. Thu May 22 03:15:59 2025 memory use: 2003.0 MB
  144. Thu May 22 03:16:03 2025 read 4389562 cycles
  145. Thu May 22 03:16:04 2025 matrix is 4389385 x 4389562 (2202.1 MB) with weight 668483234 (152.29/col)
  146. Thu May 22 03:16:04 2025 sparse part has weight 524590053 (119.51/col)
  147. Thu May 22 03:17:02 2025 filtering completed in 2 passes
  148. Thu May 22 03:17:03 2025 matrix is 4389304 x 4389481 (2202.1 MB) with weight 668478158 (152.29/col)
  149. Thu May 22 03:17:03 2025 sparse part has weight 524587674 (119.51/col)
  150. Thu May 22 03:17:32 2025 BLanczosTime: 445
  151. Thu May 22 03:17:32 2025 elapsed time 00:31:32
  152. Thu May 22 07:56:07 2025
  153. Thu May 22 07:56:07 2025
  154. Thu May 22 07:56:07 2025 Msieve v. 1.54 (SVN Unversioned directory)
  155. Thu May 22 07:56:07 2025 random seeds: 67aef2e6 dba95577
  156. Thu May 22 07:56:07 2025 Using 96 OpenMP threads
  157. Thu May 22 07:56:07 2025 factoring 2428984403312857685186188904768348645728565506329200936211130546015547616242154355552035750709310561165387560574478681205070671209563310083707260084872763547091 (160 digits)
  158. Thu May 22 07:56:07 2025 searching for 15-digit factors
  159. Thu May 22 07:56:08 2025 commencing number field sieve (160-digit input)
  160. Thu May 22 07:56:08 2025 reversing signs of algebraic polynomial
  161. Thu May 22 07:56:08 2025 R0: 128305460658789017173493754515
  162. Thu May 22 07:56:08 2025 R1: 6929020204783082373507371
  163. Thu May 22 07:56:08 2025 A0: 788348239269412756522791403142514776
  164. Thu May 22 07:56:08 2025 A1: -6978793674841397226332923063598
  165. Thu May 22 07:56:08 2025 A2: -13988452824726568408065689
  166. Thu May 22 07:56:08 2025 A3: 49665849155461715243
  167. Thu May 22 07:56:08 2025 A4: 22977984791628
  168. Thu May 22 07:56:08 2025 A5: 1995840
  169. Thu May 22 07:56:08 2025 skew 447363.47, size 2.156e-15, alpha -7.546, combined = 1.826e-12 rroots = 5
  170. Thu May 22 07:56:08 2025
  171. Thu May 22 07:56:08 2025 commencing linear algebra
  172. Thu May 22 07:56:08 2025 using VBITS=256
  173. Thu May 22 07:56:08 2025 skipping matrix build
  174. Thu May 22 07:56:09 2025 matrix starts at (0, 0)
  175. Thu May 22 07:56:10 2025 matrix is 4389304 x 4389481 (2202.1 MB) with weight 668478158 (152.29/col)
  176. Thu May 22 07:56:10 2025 sparse part has weight 524587674 (119.51/col)
  177. Thu May 22 07:56:10 2025 saving the first 240 matrix rows for later
  178. Thu May 22 07:56:11 2025 matrix includes 256 packed rows
  179. Thu May 22 07:56:13 2025 matrix is 4389064 x 4389481 (1958.3 MB) with weight 474910504 (108.19/col)
  180. Thu May 22 07:56:13 2025 sparse part has weight 443125185 (100.95/col)
  181. Thu May 22 07:56:13 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  182. Thu May 22 07:56:24 2025 commencing Lanczos iteration (96 threads)
  183. Thu May 22 07:56:24 2025 memory use: 2640.6 MB
  184. Thu May 22 07:57:56 2025 linear algebra at 0.7%, ETA 3h28m
  185. Thu May 22 07:58:42 2025 checking every 30000 dimensions, checkpointing every 2070000 dimensions
  186. Thu May 22 09:05:38 2025 lanczos halted after 17197 iterations (dim = 4389062)
  187. Thu May 22 09:05:58 2025 recovered 27 nontrivial dependencies
  188. Thu May 22 09:05:58 2025 BLanczosTime: 4190
  189. Thu May 22 09:05:58 2025
  190. Thu May 22 09:05:58 2025 commencing square root phase
  191. Thu May 22 09:05:58 2025 reversing signs of algebraic polynomial
  192. Thu May 22 09:05:58 2025 handling dependencies 1 to 64
  193. Thu May 22 09:05:58 2025 reading relations for dependency 1
  194. Thu May 22 09:05:59 2025 read 2198805 cycles
  195. Thu May 22 09:06:05 2025 cycles contain 7383408 unique relations
  196. Thu May 22 09:08:27 2025 read 7383408 relations
  197. Thu May 22 09:09:09 2025 multiplying 7383408 relations
  198. Thu May 22 09:13:19 2025 multiply complete, coefficients have about 428.46 million bits
  199. Thu May 22 09:13:21 2025 initial square root is modulo 48750893
  200. Thu May 22 14:02:52 2025
  201. Thu May 22 14:02:52 2025
  202. Thu May 22 14:02:52 2025 Msieve v. 1.54 (SVN Unversioned directory)
  203. Thu May 22 14:02:52 2025 random seeds: 74780a9d 0a1af1a9
  204. Thu May 22 14:02:52 2025 Using 96 OpenMP threads
  205. Thu May 22 14:02:52 2025 factoring 2428984403312857685186188904768348645728565506329200936211130546015547616242154355552035750709310561165387560574478681205070671209563310083707260084872763547091 (160 digits)
  206. Thu May 22 14:02:53 2025 searching for 15-digit factors
  207. Thu May 22 14:02:53 2025 commencing number field sieve (160-digit input)
  208. Thu May 22 14:02:53 2025 reversing signs of algebraic polynomial
  209. Thu May 22 14:02:53 2025 R0: 128305460658789017173493754515
  210. Thu May 22 14:02:53 2025 R1: 6929020204783082373507371
  211. Thu May 22 14:02:53 2025 A0: 788348239269412756522791403142514776
  212. Thu May 22 14:02:53 2025 A1: -6978793674841397226332923063598
  213. Thu May 22 14:02:53 2025 A2: -13988452824726568408065689
  214. Thu May 22 14:02:53 2025 A3: 49665849155461715243
  215. Thu May 22 14:02:53 2025 A4: 22977984791628
  216. Thu May 22 14:02:53 2025 A5: 1995840
  217. Thu May 22 14:02:53 2025 skew 447363.47, size 2.156e-15, alpha -7.546, combined = 1.826e-12 rroots = 5
  218. Thu May 22 14:02:53 2025
  219. Thu May 22 14:02:53 2025 commencing square root phase
  220. Thu May 22 14:02:53 2025 reversing signs of algebraic polynomial
  221. Thu May 22 14:02:53 2025 reading relations for dependency 1
  222. Thu May 22 14:02:54 2025 read 2198805 cycles
  223. Thu May 22 14:02:59 2025 cycles contain 7383408 unique relations
  224. Thu May 22 14:05:23 2025 read 7383408 relations
  225. Thu May 22 14:06:11 2025 multiplying 7383408 relations
  226. Thu May 22 14:12:15 2025 multiply complete, coefficients have about 428.46 million bits
  227. Thu May 22 14:12:17 2025 initial square root is modulo 48750893
  228. Thu May 22 14:16:36 2025 sqrtTime: 823
  229. Thu May 22 14:16:36 2025 p64 factor: 2404049777602066432059353060980181342267652467145583844481987323
  230. Thu May 22 14:16:36 2025 p97 factor: 1010371925715973502830442859833096785133345268089160935667122362769571058626643563307232035326217
  231. Thu May 22 14:16:36 2025 elapsed time 00:13:44
  232.  
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