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  1. Mon Mar 30 21:47:30 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Mon Mar 30 21:47:30 2026 random seeds: f6b67919 b10f5e1c
  3. Mon Mar 30 21:47:30 2026 Using 32 OpenMP threads
  4. Mon Mar 30 21:47:30 2026 factoring 1997309880393147411977955327339904737707756488207531526179725467495131016919616394727560106803685546659550148052016646385844914025808771520925536189333825179230638513043729686013006848000504773202146537036733177796750159056104270583417323241112689209245301 (256 digits)
  5. Mon Mar 30 21:47:30 2026 no P-1/P+1/ECM available, skipping
  6. Mon Mar 30 21:47:30 2026 commencing number field sieve (256-digit input)
  7. Mon Mar 30 21:47:30 2026 R0: 1
  8. Mon Mar 30 21:47:30 2026 R1: -3548707610689570484195372669735440333044601
  9. Mon Mar 30 21:47:30 2026 A0: -17989
  10. Mon Mar 30 21:47:30 2026 A1: 0
  11. Mon Mar 30 21:47:30 2026 A2: 0
  12. Mon Mar 30 21:47:30 2026 A3: 0
  13. Mon Mar 30 21:47:30 2026 A4: 0
  14. Mon Mar 30 21:47:30 2026 A5: 0
  15. Mon Mar 30 21:47:30 2026 A6: 1
  16. Mon Mar 30 21:47:30 2026 skew 3.97, size 4.319e-13, alpha 1.138, combined = 6.440e-14 rroots = 2
  17. Mon Mar 30 21:47:30 2026
  18. Mon Mar 30 21:47:30 2026 commencing relation filtering
  19. Mon Mar 30 21:47:30 2026 setting target matrix density to 100.0
  20. Mon Mar 30 21:47:30 2026 estimated available RAM is 128740.1 MB
  21. Mon Mar 30 21:47:30 2026 commencing duplicate removal, pass 1
  22. Mon Mar 30 21:49:16 2026 error -15 reading relation 176435540
  23. Mon Mar 30 21:49:34 2026 skipped 113 relations with b > 2^32
  24. Mon Mar 30 21:49:34 2026 found 9243106 hash collisions in 205567666 relations
  25. Mon Mar 30 21:49:40 2026 added 1219346 free relations
  26. Mon Mar 30 21:49:40 2026 commencing duplicate removal, pass 2
  27. Mon Mar 30 21:50:11 2026 found 0 duplicates and 206787012 unique relations
  28. Mon Mar 30 21:50:11 2026 memory use: 554.4 MB
  29. Mon Mar 30 21:50:11 2026 reading ideals above 720000
  30. Mon Mar 30 21:50:11 2026 commencing singleton removal, initial pass
  31. Mon Mar 30 21:55:40 2026 memory use: 5512.0 MB
  32. Mon Mar 30 21:55:40 2026 reading all ideals from disk
  33. Mon Mar 30 21:55:42 2026 memory use: 10199.5 MB
  34. Mon Mar 30 21:55:50 2026 keeping 181299270 ideals with weight <= 200, target excess is 1105027
  35. Mon Mar 30 21:56:01 2026 commencing in-memory singleton removal
  36. Mon Mar 30 21:56:04 2026 begin with 206787012 relations and 181299270 unique ideals
  37. Mon Mar 30 21:56:24 2026 reduce to 168965739 relations and 142157126 ideals in 14 passes
  38. Mon Mar 30 21:56:24 2026 max relations containing the same ideal: 185
  39. Mon Mar 30 21:56:53 2026 removing 12135530 relations and 10135530 ideals in 2000000 cliques
  40. Mon Mar 30 21:56:56 2026 commencing in-memory singleton removal
  41. Mon Mar 30 21:56:59 2026 begin with 156830209 relations and 142157126 unique ideals
  42. Mon Mar 30 21:57:10 2026 reduce to 156152813 relations and 131333841 ideals in 9 passes
  43. Mon Mar 30 21:57:10 2026 max relations containing the same ideal: 176
  44. Mon Mar 30 21:57:36 2026 removing 9301578 relations and 7301578 ideals in 2000000 cliques
  45. Mon Mar 30 21:57:39 2026 commencing in-memory singleton removal
  46. Mon Mar 30 21:57:41 2026 begin with 146851235 relations and 131333841 unique ideals
  47. Mon Mar 30 21:57:49 2026 reduce to 146399214 relations and 123574165 ideals in 7 passes
  48. Mon Mar 30 21:57:49 2026 max relations containing the same ideal: 170
  49. Mon Mar 30 21:58:14 2026 removing 8442256 relations and 6442256 ideals in 2000000 cliques
  50. Mon Mar 30 21:58:17 2026 commencing in-memory singleton removal
  51. Mon Mar 30 21:58:19 2026 begin with 137956958 relations and 123574165 unique ideals
  52. Mon Mar 30 21:58:27 2026 reduce to 137556813 relations and 116726421 ideals in 7 passes
  53. Mon Mar 30 21:58:27 2026 max relations containing the same ideal: 162
  54. Mon Mar 30 21:58:51 2026 removing 7998297 relations and 5998297 ideals in 2000000 cliques
  55. Mon Mar 30 21:58:53 2026 commencing in-memory singleton removal
  56. Mon Mar 30 21:58:55 2026 begin with 129558516 relations and 116726421 unique ideals
  57. Mon Mar 30 21:59:02 2026 reduce to 129176064 relations and 110340533 ideals in 7 passes
  58. Mon Mar 30 21:59:02 2026 max relations containing the same ideal: 155
  59. Mon Mar 30 21:59:25 2026 removing 7728448 relations and 5728448 ideals in 2000000 cliques
  60. Mon Mar 30 21:59:27 2026 commencing in-memory singleton removal
  61. Mon Mar 30 21:59:29 2026 begin with 121447616 relations and 110340533 unique ideals
  62. Mon Mar 30 21:59:35 2026 reduce to 121069723 relations and 104228842 ideals in 7 passes
  63. Mon Mar 30 21:59:35 2026 max relations containing the same ideal: 148
  64. Mon Mar 30 21:59:57 2026 removing 7561892 relations and 5561892 ideals in 2000000 cliques
  65. Mon Mar 30 21:59:59 2026 commencing in-memory singleton removal
  66. Mon Mar 30 22:00:01 2026 begin with 113507831 relations and 104228842 unique ideals
  67. Mon Mar 30 22:00:07 2026 reduce to 113126330 relations and 98279719 ideals in 7 passes
  68. Mon Mar 30 22:00:07 2026 max relations containing the same ideal: 142
  69. Mon Mar 30 22:00:27 2026 removing 7450136 relations and 5450136 ideals in 2000000 cliques
  70. Mon Mar 30 22:00:29 2026 commencing in-memory singleton removal
  71. Mon Mar 30 22:00:31 2026 begin with 105676194 relations and 98279719 unique ideals
  72. Mon Mar 30 22:00:36 2026 reduce to 105284630 relations and 92431876 ideals in 7 passes
  73. Mon Mar 30 22:00:36 2026 max relations containing the same ideal: 135
  74. Mon Mar 30 22:00:56 2026 removing 7383264 relations and 5383264 ideals in 2000000 cliques
  75. Mon Mar 30 22:00:58 2026 commencing in-memory singleton removal
  76. Mon Mar 30 22:00:59 2026 begin with 97901366 relations and 92431876 unique ideals
  77. Mon Mar 30 22:01:04 2026 reduce to 97491342 relations and 86631630 ideals in 7 passes
  78. Mon Mar 30 22:01:04 2026 max relations containing the same ideal: 132
  79. Mon Mar 30 22:01:22 2026 removing 7355235 relations and 5355235 ideals in 2000000 cliques
  80. Mon Mar 30 22:01:24 2026 commencing in-memory singleton removal
  81. Mon Mar 30 22:01:25 2026 begin with 90136107 relations and 86631630 unique ideals
  82. Mon Mar 30 22:01:31 2026 reduce to 89701150 relations and 80833681 ideals in 9 passes
  83. Mon Mar 30 22:01:31 2026 max relations containing the same ideal: 122
  84. Mon Mar 30 22:01:48 2026 removing 7350504 relations and 5350504 ideals in 2000000 cliques
  85. Mon Mar 30 22:01:50 2026 commencing in-memory singleton removal
  86. Mon Mar 30 22:01:51 2026 begin with 82350646 relations and 80833681 unique ideals
  87. Mon Mar 30 22:01:56 2026 reduce to 81881894 relations and 75005365 ideals in 7 passes
  88. Mon Mar 30 22:01:56 2026 max relations containing the same ideal: 114
  89. Mon Mar 30 22:02:11 2026 removing 7371307 relations and 5371307 ideals in 2000000 cliques
  90. Mon Mar 30 22:02:13 2026 commencing in-memory singleton removal
  91. Mon Mar 30 22:02:14 2026 begin with 74510587 relations and 75005365 unique ideals
  92. Mon Mar 30 22:02:18 2026 reduce to 73994118 relations and 69106623 ideals in 8 passes
  93. Mon Mar 30 22:02:18 2026 max relations containing the same ideal: 106
  94. Mon Mar 30 22:02:33 2026 removing 7423778 relations and 5423778 ideals in 2000000 cliques
  95. Mon Mar 30 22:02:34 2026 commencing in-memory singleton removal
  96. Mon Mar 30 22:02:35 2026 begin with 66570340 relations and 69106623 unique ideals
  97. Mon Mar 30 22:02:39 2026 reduce to 65994495 relations and 63093752 ideals in 8 passes
  98. Mon Mar 30 22:02:39 2026 max relations containing the same ideal: 97
  99. Mon Mar 30 22:02:52 2026 removing 6327211 relations and 4708300 ideals in 1618911 cliques
  100. Mon Mar 30 22:02:54 2026 commencing in-memory singleton removal
  101. Mon Mar 30 22:02:55 2026 begin with 59667284 relations and 63093752 unique ideals
  102. Mon Mar 30 22:02:58 2026 reduce to 59203082 relations and 57911449 ideals in 8 passes
  103. Mon Mar 30 22:02:58 2026 max relations containing the same ideal: 90
  104. Mon Mar 30 22:03:10 2026 removing 82074 relations and 72273 ideals in 9801 cliques
  105. Mon Mar 30 22:03:11 2026 commencing in-memory singleton removal
  106. Mon Mar 30 22:03:12 2026 begin with 59121008 relations and 57911449 unique ideals
  107. Mon Mar 30 22:03:13 2026 reduce to 59120909 relations and 57839077 ideals in 4 passes
  108. Mon Mar 30 22:03:13 2026 max relations containing the same ideal: 90
  109. Mon Mar 30 22:03:18 2026 relations with 0 large ideals: 41124
  110. Mon Mar 30 22:03:18 2026 relations with 1 large ideals: 11994
  111. Mon Mar 30 22:03:18 2026 relations with 2 large ideals: 178589
  112. Mon Mar 30 22:03:18 2026 relations with 3 large ideals: 1255628
  113. Mon Mar 30 22:03:18 2026 relations with 4 large ideals: 4787531
  114. Mon Mar 30 22:03:18 2026 relations with 5 large ideals: 10930588
  115. Mon Mar 30 22:03:18 2026 relations with 6 large ideals: 15570440
  116. Mon Mar 30 22:03:18 2026 relations with 7+ large ideals: 26345015
  117. Mon Mar 30 22:03:18 2026 commencing 2-way merge
  118. Mon Mar 30 22:03:36 2026 reduce to 38415809 relation sets and 37133977 unique ideals
  119. Mon Mar 30 22:03:36 2026 commencing full merge
  120. Mon Mar 30 22:10:46 2026 memory use: 4814.5 MB
  121. Mon Mar 30 22:10:49 2026 found 18436738 cycles, need 18288177
  122. Mon Mar 30 22:10:52 2026 weight of 18288177 cycles is about 1829242104 (100.02/cycle)
  123. Mon Mar 30 22:10:52 2026 distribution of cycle lengths:
  124. Mon Mar 30 22:10:52 2026 1 relations: 1342580
  125. Mon Mar 30 22:10:52 2026 2 relations: 1538920
  126. Mon Mar 30 22:10:52 2026 3 relations: 1634194
  127. Mon Mar 30 22:10:52 2026 4 relations: 1614618
  128. Mon Mar 30 22:10:52 2026 5 relations: 1579487
  129. Mon Mar 30 22:10:52 2026 6 relations: 1494641
  130. Mon Mar 30 22:10:52 2026 7 relations: 1414520
  131. Mon Mar 30 22:10:52 2026 8 relations: 1296095
  132. Mon Mar 30 22:10:52 2026 9 relations: 1161721
  133. Mon Mar 30 22:10:52 2026 10+ relations: 5211401
  134. Mon Mar 30 22:10:52 2026 heaviest cycle: 26 relations
  135. Mon Mar 30 22:10:56 2026 commencing cycle optimization
  136. Mon Mar 30 22:11:16 2026 start with 132468948 relations
  137. Mon Mar 30 22:13:29 2026 pruned 4835206 relations
  138. Mon Mar 30 22:13:30 2026 memory use: 3809.5 MB
  139. Mon Mar 30 22:13:30 2026 distribution of cycle lengths:
  140. Mon Mar 30 22:13:30 2026 1 relations: 1342580
  141. Mon Mar 30 22:13:30 2026 2 relations: 1574618
  142. Mon Mar 30 22:13:30 2026 3 relations: 1699408
  143. Mon Mar 30 22:13:30 2026 4 relations: 1673653
  144. Mon Mar 30 22:13:30 2026 5 relations: 1645720
  145. Mon Mar 30 22:13:30 2026 6 relations: 1551340
  146. Mon Mar 30 22:13:30 2026 7 relations: 1467654
  147. Mon Mar 30 22:13:30 2026 8 relations: 1331069
  148. Mon Mar 30 22:13:30 2026 9 relations: 1188394
  149. Mon Mar 30 22:13:30 2026 10+ relations: 4813741
  150. Mon Mar 30 22:13:30 2026 heaviest cycle: 26 relations
  151. Mon Mar 30 22:13:48 2026 RelProcTime: 1578
  152. Mon Mar 30 22:13:48 2026 elapsed time 00:26:18
  153. Mon Mar 30 22:38:10 2026
  154. Mon Mar 30 22:38:10 2026
  155. Mon Mar 30 22:38:10 2026 Msieve v. 1.54 (SVN 573b9ef)
  156. Mon Mar 30 22:38:10 2026 random seeds: 49f3feee 79e8b327
  157. Mon Mar 30 22:38:10 2026 MPI process 0 of 2
  158. Mon Mar 30 22:38:10 2026 Using 8 OpenMP threads
  159. Mon Mar 30 22:38:10 2026 factoring 1997309880393147411977955327339904737707756488207531526179725467495131016919616394727560106803685546659550148052016646385844914025808771520925536189333825179230638513043729686013006848000504773202146537036733177796750159056104270583417323241112689209245301 (256 digits)
  160. Mon Mar 30 22:38:11 2026 no P-1/P+1/ECM available, skipping
  161. Mon Mar 30 22:38:11 2026 commencing number field sieve (256-digit input)
  162. Mon Mar 30 22:38:11 2026 R0: 1
  163. Mon Mar 30 22:38:11 2026 R1: -3548707610689570484195372669735440333044601
  164. Mon Mar 30 22:38:11 2026 A0: -17989
  165. Mon Mar 30 22:38:11 2026 A1: 0
  166. Mon Mar 30 22:38:11 2026 A2: 0
  167. Mon Mar 30 22:38:11 2026 A3: 0
  168. Mon Mar 30 22:38:11 2026 A4: 0
  169. Mon Mar 30 22:38:11 2026 A5: 0
  170. Mon Mar 30 22:38:11 2026 A6: 1
  171. Mon Mar 30 22:38:11 2026 skew 3.97, size 4.319e-13, alpha 1.138, combined = 6.440e-14 rroots = 2
  172. Mon Mar 30 22:38:11 2026
  173. Mon Mar 30 22:38:11 2026 commencing linear algebra
  174. Mon Mar 30 22:38:11 2026 using VBITS=256
  175. Mon Mar 30 22:38:11 2026 initialized process (0,0) of 1 x 2 grid
  176. Mon Mar 30 22:38:13 2026 read 18288177 cycles
  177. Mon Mar 30 22:38:46 2026 cycles contain 58358265 unique relations
  178. Mon Mar 30 22:39:42 2026 read 58358265 relations
  179. Mon Mar 30 22:39:58 2026 using 20 quadratic characters above 4294917295
  180. Mon Mar 30 22:40:19 2026 building initial matrix
  181. Mon Mar 30 22:51:39 2026 memory use: 7534.3 MB
  182. Mon Mar 30 22:51:51 2026 read 18288177 cycles
  183. Mon Mar 30 22:51:53 2026 matrix is 18287999 x 18288177 (7384.2 MB) with weight 2127367846 (116.32/col)
  184. Mon Mar 30 22:51:53 2026 sparse part has weight 1734551409 (94.85/col)
  185. Mon Mar 30 22:53:52 2026 filtering completed in 2 passes
  186. Mon Mar 30 22:53:54 2026 matrix is 18286150 x 18286322 (7384.0 MB) with weight 2127306237 (116.33/col)
  187. Mon Mar 30 22:53:54 2026 sparse part has weight 1734530405 (94.85/col)
  188. Mon Mar 30 22:54:18 2026 matrix starts at (0, 0)
  189. Mon Mar 30 22:54:19 2026 matrix is 18286150 x 9143108 (3692.0 MB) with weight 1063653003 (116.33/col)
  190. Mon Mar 30 22:54:19 2026 sparse part has weight 867265307 (94.85/col)
  191. Mon Mar 30 22:54:19 2026 saving the first 240 matrix rows for later
  192. Mon Mar 30 22:54:20 2026 matrix includes 256 packed rows
  193. Mon Mar 30 22:54:23 2026 matrix is 18285910 x 9143108 (3438.3 MB) with weight 792992779 (86.73/col)
  194. Mon Mar 30 22:54:23 2026 sparse part has weight 755037112 (82.58/col)
  195. Mon Mar 30 22:54:23 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  196. Mon Mar 30 22:54:23 2026 selected card has CUDA arch 8.6
  197. Mon Mar 30 22:54:51 2026 commencing Lanczos iteration
  198. Mon Mar 30 22:54:53 2026 memory use: 8934.4 MB
  199. Mon Mar 30 22:55:27 2026 linear algebra at 0.2%, ETA 5h27m
  200. Mon Mar 30 22:56:18 2026 checking every 50000 dimensions, checkpointing every 3300000 dimensions
  201. Tue Mar 31 04:29:14 2026 lanczos halted after 71647 iterations (dim = 18285910)
  202. Tue Mar 31 04:29:50 2026 recovered 36 nontrivial dependencies
  203. Tue Mar 31 04:29:50 2026 BLanczosTime: 21099
  204. Tue Mar 31 04:29:50 2026 elapsed time 05:51:40
  205. Tue Mar 31 12:04:59 2026
  206. Tue Mar 31 12:04:59 2026
  207. Tue Mar 31 12:04:59 2026 Msieve v. 1.54 (SVN 573b9ef)
  208. Tue Mar 31 12:04:59 2026 random seeds: 5211dd4f 12e3cb6e
  209. Tue Mar 31 12:04:59 2026 Using 32 OpenMP threads
  210. Tue Mar 31 12:04:59 2026 factoring 1997309880393147411977955327339904737707756488207531526179725467495131016919616394727560106803685546659550148052016646385844914025808771520925536189333825179230638513043729686013006848000504773202146537036733177796750159056104270583417323241112689209245301 (256 digits)
  211. Tue Mar 31 12:05:00 2026 no P-1/P+1/ECM available, skipping
  212. Tue Mar 31 12:05:00 2026 commencing number field sieve (256-digit input)
  213. Tue Mar 31 12:05:00 2026 R0: 1
  214. Tue Mar 31 12:05:00 2026 R1: -3548707610689570484195372669735440333044601
  215. Tue Mar 31 12:05:00 2026 A0: -17989
  216. Tue Mar 31 12:05:00 2026 A1: 0
  217. Tue Mar 31 12:05:00 2026 A2: 0
  218. Tue Mar 31 12:05:00 2026 A3: 0
  219. Tue Mar 31 12:05:00 2026 A4: 0
  220. Tue Mar 31 12:05:00 2026 A5: 0
  221. Tue Mar 31 12:05:00 2026 A6: 1
  222. Tue Mar 31 12:05:00 2026 skew 3.97, size 4.319e-13, alpha 1.138, combined = 6.440e-14 rroots = 2
  223. Tue Mar 31 12:05:00 2026
  224. Tue Mar 31 12:05:00 2026 commencing square root phase
  225. Tue Mar 31 12:05:00 2026 reading relations for dependency 1
  226. Tue Mar 31 12:05:01 2026 read 9140119 cycles
  227. Tue Mar 31 12:05:10 2026 cycles contain 29169728 unique relations
  228. Tue Mar 31 12:05:27 2026 read 29169728 relations
  229. Tue Mar 31 12:06:31 2026 multiplying 29169728 relations
  230. Tue Mar 31 12:07:52 2026 multiply complete, coefficients have about 797.21 million bits
  231. Tue Mar 31 12:07:53 2026 initial square root is modulo 14197453
  232. Tue Mar 31 12:10:48 2026 GCD is N, no factor found
  233. Tue Mar 31 12:10:48 2026 reading relations for dependency 2
  234. Tue Mar 31 12:10:48 2026 read 9141526 cycles
  235. Tue Mar 31 12:10:57 2026 cycles contain 29174346 unique relations
  236. Tue Mar 31 12:11:14 2026 read 29174346 relations
  237. Tue Mar 31 12:12:21 2026 multiplying 29174346 relations
  238. Tue Mar 31 12:13:40 2026 multiply complete, coefficients have about 797.33 million bits
  239. Tue Mar 31 12:13:41 2026 initial square root is modulo 14230483
  240. Tue Mar 31 12:16:34 2026 sqrtTime: 694
  241. Tue Mar 31 12:16:34 2026 p75 factor: 904721742199397907656172478129574405172883399861821681750230832841802843963
  242. Tue Mar 31 12:16:34 2026 p181 factor: 2207651023769633710210186672241083893580596531174102214039673017354270381640543290742281511569106573656185307606314717398740847331837817958860121146850283756320740842639079259674127
  243. Tue Mar 31 12:16:34 2026 elapsed time 00:11:35
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