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  1. Wed Aug 20 14:32:59 2025 Msieve v. 1.54 (SVN 66ed352)
  2. Wed Aug 20 14:32:59 2025 random seeds: f8158b71 6be93c48
  3. Wed Aug 20 14:32:59 2025 Using 16 OpenMP threads
  4. Wed Aug 20 14:32:59 2025 factoring 440055801143275952575781823442236485414073473924672563967998697372989348578225559712485680923862902332862800935020260038028464979405799020236933835052730229022346207742411674012785969898827902125106385122287154033009378401896948652737461503077 (243 digits)
  5. Wed Aug 20 14:33:00 2025 no P-1/P+1/ECM available, skipping
  6. Wed Aug 20 14:33:00 2025 commencing number field sieve (243-digit input)
  7. Wed Aug 20 14:33:00 2025 R0: 1838949628693507725929055201735283477573903
  8. Wed Aug 20 14:33:00 2025 R1: -1
  9. Wed Aug 20 14:33:00 2025 A0: -1
  10. Wed Aug 20 14:33:00 2025 A1: 0
  11. Wed Aug 20 14:33:00 2025 A2: 0
  12. Wed Aug 20 14:33:00 2025 A3: 0
  13. Wed Aug 20 14:33:00 2025 A4: 0
  14. Wed Aug 20 14:33:00 2025 A5: 0
  15. Wed Aug 20 14:33:00 2025 A6: 1090927
  16. Wed Aug 20 14:33:00 2025 skew 0.13, size 2.331e-13, alpha 1.558, combined = 4.181e-14 rroots = 2
  17. Wed Aug 20 14:33:00 2025
  18. Wed Aug 20 14:33:00 2025 commencing relation filtering
  19. Wed Aug 20 14:33:00 2025 setting target matrix density to 110.0
  20. Wed Aug 20 14:33:00 2025 estimated available RAM is 128734.6 MB
  21. Wed Aug 20 14:33:00 2025 commencing duplicate removal, pass 1
  22. Wed Aug 20 14:33:20 2025 error -15 reading relation 49328906
  23. Wed Aug 20 14:33:45 2025 error -11 reading relation 110499346
  24. Wed Aug 20 14:34:40 2025 error -11 reading relation 243567566
  25. Wed Aug 20 14:34:43 2025 error -15 reading relation 250663017
  26. Wed Aug 20 14:34:46 2025 skipped 28489 relations with b > 2^32
  27. Wed Aug 20 14:34:46 2025 found 14296475 hash collisions in 257728327 relations
  28. Wed Aug 20 14:34:53 2025 added 1218437 free relations
  29. Wed Aug 20 14:34:53 2025 commencing duplicate removal, pass 2
  30. Wed Aug 20 14:35:38 2025 found 0 duplicates and 258946764 unique relations
  31. Wed Aug 20 14:35:38 2025 memory use: 852.8 MB
  32. Wed Aug 20 14:35:38 2025 reading ideals above 720000
  33. Wed Aug 20 14:35:38 2025 commencing singleton removal, initial pass
  34. Wed Aug 20 14:42:12 2025 memory use: 6024.0 MB
  35. Wed Aug 20 14:42:12 2025 reading all ideals from disk
  36. Wed Aug 20 14:42:14 2025 memory use: 12886.0 MB
  37. Wed Aug 20 14:42:25 2025 keeping 247750859 ideals with weight <= 200, target excess is 1324515
  38. Wed Aug 20 14:42:39 2025 commencing in-memory singleton removal
  39. Wed Aug 20 14:42:43 2025 begin with 258946764 relations and 247750859 unique ideals
  40. Wed Aug 20 14:43:14 2025 reduce to 176593822 relations and 160470424 ideals in 19 passes
  41. Wed Aug 20 14:43:14 2025 max relations containing the same ideal: 166
  42. Wed Aug 20 14:43:48 2025 removing 16001839 relations and 14001839 ideals in 2000000 cliques
  43. Wed Aug 20 14:43:51 2025 commencing in-memory singleton removal
  44. Wed Aug 20 14:43:54 2025 begin with 160591983 relations and 160470424 unique ideals
  45. Wed Aug 20 14:44:06 2025 reduce to 159340264 relations and 145196889 ideals in 10 passes
  46. Wed Aug 20 14:44:06 2025 max relations containing the same ideal: 154
  47. Wed Aug 20 14:44:37 2025 removing 12050685 relations and 10050686 ideals in 2000000 cliques
  48. Wed Aug 20 14:44:40 2025 commencing in-memory singleton removal
  49. Wed Aug 20 14:44:42 2025 begin with 147289579 relations and 145196889 unique ideals
  50. Wed Aug 20 14:44:52 2025 reduce to 146484507 relations and 134330193 ideals in 9 passes
  51. Wed Aug 20 14:44:52 2025 max relations containing the same ideal: 147
  52. Wed Aug 20 14:45:21 2025 removing 10846548 relations and 8846548 ideals in 2000000 cliques
  53. Wed Aug 20 14:45:23 2025 commencing in-memory singleton removal
  54. Wed Aug 20 14:45:25 2025 begin with 135637959 relations and 134330193 unique ideals
  55. Wed Aug 20 14:45:36 2025 reduce to 134928448 relations and 124764442 ideals in 10 passes
  56. Wed Aug 20 14:45:36 2025 max relations containing the same ideal: 139
  57. Wed Aug 20 14:46:02 2025 removing 10238160 relations and 8238160 ideals in 2000000 cliques
  58. Wed Aug 20 14:46:05 2025 commencing in-memory singleton removal
  59. Wed Aug 20 14:46:07 2025 begin with 124690288 relations and 124764442 unique ideals
  60. Wed Aug 20 14:46:16 2025 reduce to 124002407 relations and 115828869 ideals in 10 passes
  61. Wed Aug 20 14:46:16 2025 max relations containing the same ideal: 130
  62. Wed Aug 20 14:46:41 2025 removing 9882070 relations and 7882070 ideals in 2000000 cliques
  63. Wed Aug 20 14:46:43 2025 commencing in-memory singleton removal
  64. Wed Aug 20 14:46:45 2025 begin with 114120337 relations and 115828869 unique ideals
  65. Wed Aug 20 14:46:52 2025 reduce to 113426336 relations and 107242567 ideals in 8 passes
  66. Wed Aug 20 14:46:52 2025 max relations containing the same ideal: 123
  67. Wed Aug 20 14:47:15 2025 removing 9672727 relations and 7672727 ideals in 2000000 cliques
  68. Wed Aug 20 14:47:17 2025 commencing in-memory singleton removal
  69. Wed Aug 20 14:47:18 2025 begin with 103753609 relations and 107242567 unique ideals
  70. Wed Aug 20 14:47:26 2025 reduce to 103027647 relations and 98832167 ideals in 10 passes
  71. Wed Aug 20 14:47:26 2025 max relations containing the same ideal: 114
  72. Wed Aug 20 14:47:47 2025 removing 9560007 relations and 7560007 ideals in 2000000 cliques
  73. Wed Aug 20 14:47:49 2025 commencing in-memory singleton removal
  74. Wed Aug 20 14:47:50 2025 begin with 93467640 relations and 98832167 unique ideals
  75. Wed Aug 20 14:47:57 2025 reduce to 92688570 relations and 90479418 ideals in 9 passes
  76. Wed Aug 20 14:47:57 2025 max relations containing the same ideal: 108
  77. Wed Aug 20 14:48:15 2025 removing 4021156 relations and 3348442 ideals in 672714 cliques
  78. Wed Aug 20 14:48:17 2025 commencing in-memory singleton removal
  79. Wed Aug 20 14:48:18 2025 begin with 88667414 relations and 90479418 unique ideals
  80. Wed Aug 20 14:48:23 2025 reduce to 88528327 relations and 86990952 ideals in 7 passes
  81. Wed Aug 20 14:48:23 2025 max relations containing the same ideal: 102
  82. Wed Aug 20 14:48:48 2025 relations with 0 large ideals: 49844
  83. Wed Aug 20 14:48:48 2025 relations with 1 large ideals: 19533
  84. Wed Aug 20 14:48:48 2025 relations with 2 large ideals: 234673
  85. Wed Aug 20 14:48:48 2025 relations with 3 large ideals: 1648356
  86. Wed Aug 20 14:48:48 2025 relations with 4 large ideals: 6428398
  87. Wed Aug 20 14:48:48 2025 relations with 5 large ideals: 15187005
  88. Wed Aug 20 14:48:48 2025 relations with 6 large ideals: 22697193
  89. Wed Aug 20 14:48:48 2025 relations with 7+ large ideals: 42263325
  90. Wed Aug 20 14:48:48 2025 commencing 2-way merge
  91. Wed Aug 20 14:49:15 2025 reduce to 54728808 relation sets and 53191433 unique ideals
  92. Wed Aug 20 14:49:15 2025 commencing full merge
  93. Wed Aug 20 15:01:00 2025 memory use: 6813.4 MB
  94. Wed Aug 20 15:01:04 2025 found 24963328 cycles, need 24881633
  95. Wed Aug 20 15:01:08 2025 weight of 24881633 cycles is about 2737435949 (110.02/cycle)
  96. Wed Aug 20 15:01:08 2025 distribution of cycle lengths:
  97. Wed Aug 20 15:01:08 2025 1 relations: 2316243
  98. Wed Aug 20 15:01:08 2025 2 relations: 2100028
  99. Wed Aug 20 15:01:08 2025 3 relations: 2035924
  100. Wed Aug 20 15:01:08 2025 4 relations: 1916990
  101. Wed Aug 20 15:01:08 2025 5 relations: 1826089
  102. Wed Aug 20 15:01:08 2025 6 relations: 1715131
  103. Wed Aug 20 15:01:08 2025 7 relations: 1607794
  104. Wed Aug 20 15:01:08 2025 8 relations: 1492635
  105. Wed Aug 20 15:01:08 2025 9 relations: 1365762
  106. Wed Aug 20 15:01:08 2025 10+ relations: 8505037
  107. Wed Aug 20 15:01:08 2025 heaviest cycle: 28 relations
  108. Wed Aug 20 15:01:12 2025 commencing cycle optimization
  109. Wed Aug 20 15:01:43 2025 start with 198019501 relations
  110. Wed Aug 20 15:05:28 2025 pruned 6924053 relations
  111. Wed Aug 20 15:05:28 2025 memory use: 5650.4 MB
  112. Wed Aug 20 15:05:28 2025 distribution of cycle lengths:
  113. Wed Aug 20 15:05:28 2025 1 relations: 2316243
  114. Wed Aug 20 15:05:28 2025 2 relations: 2146830
  115. Wed Aug 20 15:05:28 2025 3 relations: 2111462
  116. Wed Aug 20 15:05:28 2025 4 relations: 1979924
  117. Wed Aug 20 15:05:28 2025 5 relations: 1894407
  118. Wed Aug 20 15:05:28 2025 6 relations: 1770075
  119. Wed Aug 20 15:05:28 2025 7 relations: 1660526
  120. Wed Aug 20 15:05:28 2025 8 relations: 1531081
  121. Wed Aug 20 15:05:28 2025 9 relations: 1398397
  122. Wed Aug 20 15:05:28 2025 10+ relations: 8072688
  123. Wed Aug 20 15:05:28 2025 heaviest cycle: 28 relations
  124. Wed Aug 20 15:05:55 2025 RelProcTime: 1975
  125. Wed Aug 20 15:05:55 2025 elapsed time 00:32:56
  126. Wed Aug 20 15:11:27 2025
  127. Wed Aug 20 15:11:27 2025
  128. Wed Aug 20 15:11:27 2025 Msieve v. 1.54 (SVN 66ed352)
  129. Wed Aug 20 15:11:27 2025 random seeds: 19ea59aa 0889b63f
  130. Wed Aug 20 15:11:27 2025 MPI process 0 of 2
  131. Wed Aug 20 15:11:27 2025 Using 8 OpenMP threads
  132. Wed Aug 20 15:11:27 2025 factoring 440055801143275952575781823442236485414073473924672563967998697372989348578225559712485680923862902332862800935020260038028464979405799020236933835052730229022346207742411674012785969898827902125106385122287154033009378401896948652737461503077 (243 digits)
  133. Wed Aug 20 15:11:28 2025 no P-1/P+1/ECM available, skipping
  134. Wed Aug 20 15:11:28 2025 commencing number field sieve (243-digit input)
  135. Wed Aug 20 15:11:28 2025 R0: 1838949628693507725929055201735283477573903
  136. Wed Aug 20 15:11:28 2025 R1: -1
  137. Wed Aug 20 15:11:28 2025 A0: -1
  138. Wed Aug 20 15:11:28 2025 A1: 0
  139. Wed Aug 20 15:11:28 2025 A2: 0
  140. Wed Aug 20 15:11:28 2025 A3: 0
  141. Wed Aug 20 15:11:28 2025 A4: 0
  142. Wed Aug 20 15:11:28 2025 A5: 0
  143. Wed Aug 20 15:11:28 2025 A6: 1090927
  144. Wed Aug 20 15:11:28 2025 skew 0.13, size 2.331e-13, alpha 1.558, combined = 4.181e-14 rroots = 2
  145. Wed Aug 20 15:11:28 2025
  146. Wed Aug 20 15:11:28 2025 commencing linear algebra
  147. Wed Aug 20 15:11:28 2025 using VBITS=256
  148. Wed Aug 20 15:11:28 2025 initialized process (0,0) of 1 x 2 grid
  149. Wed Aug 20 15:11:29 2025 read 24881633 cycles
  150. Wed Aug 20 15:11:59 2025 cycles contain 87442373 unique relations
  151. Wed Aug 20 15:12:34 2025 read 87442373 relations
  152. Wed Aug 20 15:12:51 2025 using 20 quadratic characters above 4294917295
  153. Wed Aug 20 15:13:15 2025 building initial matrix
  154. Wed Aug 20 15:23:24 2025 memory use: 10989.2 MB
  155. Wed Aug 20 15:23:34 2025 read 24881633 cycles
  156. Wed Aug 20 15:23:36 2025 matrix is 24881456 x 24881633 (10918.7 MB) with weight 3097522313 (124.49/col)
  157. Wed Aug 20 15:23:36 2025 sparse part has weight 2588573790 (104.04/col)
  158. Wed Aug 20 15:25:58 2025 filtering completed in 2 passes
  159. Wed Aug 20 15:26:01 2025 matrix is 24879276 x 24879446 (10918.5 MB) with weight 3097453304 (124.50/col)
  160. Wed Aug 20 15:26:01 2025 sparse part has weight 2588551038 (104.04/col)
  161. Wed Aug 20 15:26:45 2025 matrix starts at (0, 0)
  162. Wed Aug 20 15:26:46 2025 matrix is 24879276 x 12439701 (5459.3 MB) with weight 1548734553 (124.50/col)
  163. Wed Aug 20 15:26:46 2025 sparse part has weight 1294275690 (104.04/col)
  164. Wed Aug 20 15:26:46 2025 saving the first 240 matrix rows for later
  165. Wed Aug 20 15:26:47 2025 matrix includes 256 packed rows
  166. Wed Aug 20 15:26:51 2025 matrix is 24879036 x 12439701 (5085.4 MB) with weight 1190055282 (95.67/col)
  167. Wed Aug 20 15:26:51 2025 sparse part has weight 1134060122 (91.16/col)
  168. Wed Aug 20 15:26:51 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  169. Wed Aug 20 15:26:51 2025 selected card has CUDA arch 8.6
  170. Wed Aug 20 15:27:43 2025 commencing Lanczos iteration
  171. Wed Aug 20 15:27:44 2025 memory use: 12970.5 MB
  172. Wed Aug 20 15:28:27 2025 linear algebra at 0.1%, ETA 9h27m
  173. Wed Aug 20 15:29:31 2025 checking every 40000 dimensions, checkpointing every 2640000 dimensions
  174. Thu Aug 21 01:14:36 2025 lanczos halted after 97475 iterations (dim = 24879031)
  175. Thu Aug 21 01:16:21 2025 recovered 30 nontrivial dependencies
  176. Thu Aug 21 01:16:21 2025 BLanczosTime: 36293
  177. Thu Aug 21 01:16:21 2025 elapsed time 10:04:54
  178. Thu Aug 21 11:02:02 2025
  179. Thu Aug 21 11:02:02 2025
  180. Thu Aug 21 11:02:02 2025 Msieve v. 1.54 (SVN 66ed352)
  181. Thu Aug 21 11:02:02 2025 random seeds: 66314565 33329bb3
  182. Thu Aug 21 11:02:02 2025 Using 16 OpenMP threads
  183. Thu Aug 21 11:02:02 2025 factoring 440055801143275952575781823442236485414073473924672563967998697372989348578225559712485680923862902332862800935020260038028464979405799020236933835052730229022346207742411674012785969898827902125106385122287154033009378401896948652737461503077 (243 digits)
  184. Thu Aug 21 11:02:03 2025 no P-1/P+1/ECM available, skipping
  185. Thu Aug 21 11:02:03 2025 commencing number field sieve (243-digit input)
  186. Thu Aug 21 11:02:03 2025 R0: 1838949628693507725929055201735283477573903
  187. Thu Aug 21 11:02:03 2025 R1: -1
  188. Thu Aug 21 11:02:03 2025 A0: -1
  189. Thu Aug 21 11:02:03 2025 A1: 0
  190. Thu Aug 21 11:02:03 2025 A2: 0
  191. Thu Aug 21 11:02:03 2025 A3: 0
  192. Thu Aug 21 11:02:03 2025 A4: 0
  193. Thu Aug 21 11:02:03 2025 A5: 0
  194. Thu Aug 21 11:02:03 2025 A6: 1090927
  195. Thu Aug 21 11:02:03 2025 skew 0.13, size 2.331e-13, alpha 1.558, combined = 4.181e-14 rroots = 2
  196. Thu Aug 21 11:02:03 2025
  197. Thu Aug 21 11:02:03 2025 commencing square root phase
  198. Thu Aug 21 11:02:03 2025 reading relations for dependency 1
  199. Thu Aug 21 11:02:06 2025 read 12437307 cycles
  200. Thu Aug 21 11:02:35 2025 cycles contain 43718338 unique relations
  201. Thu Aug 21 11:04:03 2025 read 43718338 relations
  202. Thu Aug 21 11:05:56 2025 multiplying 43718338 relations
  203. Thu Aug 21 11:09:45 2025 multiply complete, coefficients have about 1946.92 million bits
  204. Thu Aug 21 11:09:47 2025 initial square root is modulo 541179721
  205. Thu Aug 21 11:17:26 2025 GCD is 1, no factor found
  206. Thu Aug 21 11:17:26 2025 reading relations for dependency 2
  207. Thu Aug 21 11:17:27 2025 read 12438213 cycles
  208. Thu Aug 21 11:17:41 2025 cycles contain 43715880 unique relations
  209. Thu Aug 21 11:18:01 2025 read 43715880 relations
  210. Thu Aug 21 11:19:39 2025 multiplying 43715880 relations
  211. Thu Aug 21 11:23:12 2025 multiply complete, coefficients have about 1946.80 million bits
  212. Thu Aug 21 11:23:14 2025 initial square root is modulo 540509647
  213. Thu Aug 21 11:30:48 2025 GCD is 1, no factor found
  214. Thu Aug 21 11:30:48 2025 reading relations for dependency 3
  215. Thu Aug 21 11:30:49 2025 read 12438765 cycles
  216. Thu Aug 21 11:31:04 2025 cycles contain 43730586 unique relations
  217. Thu Aug 21 11:31:21 2025 read 43730586 relations
  218. Thu Aug 21 11:33:04 2025 multiplying 43730586 relations
  219. Thu Aug 21 11:36:37 2025 multiply complete, coefficients have about 1947.46 million bits
  220. Thu Aug 21 11:36:39 2025 initial square root is modulo 544197541
  221. Thu Aug 21 11:44:07 2025 GCD is N, no factor found
  222. Thu Aug 21 11:44:07 2025 reading relations for dependency 4
  223. Thu Aug 21 11:44:08 2025 read 12444470 cycles
  224. Thu Aug 21 11:44:23 2025 cycles contain 43736596 unique relations
  225. Thu Aug 21 11:44:39 2025 read 43736596 relations
  226. Thu Aug 21 11:46:21 2025 multiplying 43736596 relations
  227. Thu Aug 21 11:49:52 2025 multiply complete, coefficients have about 1947.73 million bits
  228. Thu Aug 21 11:49:54 2025 initial square root is modulo 545707489
  229. Thu Aug 21 11:57:45 2025 sqrtTime: 3342
  230. Thu Aug 21 11:57:45 2025 p87 factor: 506155000497250134872683147712102992715965051435474284693735005203183973228364101538883
  231. Thu Aug 21 11:57:45 2025 p156 factor: 869409174484025887927713516160486943799117583529218256922290681018944035797810777592067149587831114732464499494596383916570279452070207357823437754203672119
  232. Thu Aug 21 11:57:45 2025 elapsed time 00:55:43
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