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  1. Thu Apr 23 18:17:34 2026
  2. Thu Apr 23 18:17:34 2026 Msieve v. 1.54 (SVN unknown)
  3. Thu Apr 23 18:17:34 2026 random seeds: 1ae2a05c cbafe22f
  4. Thu Apr 23 18:17:34 2026 factoring 47199656790417547955336029218800241688899722983556802379772523868542570686499896428007986960292555593208437351882612713613152287472652037343886158183544006180257586873338620494385939091340454187060879215153239712100911561291930484165843287077 (242 digits)
  5. Thu Apr 23 18:17:36 2026 no P-1/P+1/ECM available, skipping
  6. Thu Apr 23 18:17:36 2026 commencing number field sieve (242-digit input)
  7. Thu Apr 23 18:17:36 2026 R0: 1
  8. Thu Apr 23 18:17:36 2026 R1: -361188648084531445929920877641340156544317601
  9. Thu Apr 23 18:17:36 2026 A0: -13
  10. Thu Apr 23 18:17:36 2026 A1: 0
  11. Thu Apr 23 18:17:36 2026 A2: 0
  12. Thu Apr 23 18:17:36 2026 A3: 0
  13. Thu Apr 23 18:17:36 2026 A4: 0
  14. Thu Apr 23 18:17:36 2026 A5: 0
  15. Thu Apr 23 18:17:36 2026 A6: 1
  16. Thu Apr 23 18:17:36 2026 skew 1.18, size 3.048e-13, alpha 1.953, combined = 4.730e-14 rroots = 2
  17. Thu Apr 23 18:17:36 2026
  18. Thu Apr 23 18:17:36 2026 commencing relation filtering
  19. Thu Apr 23 18:17:36 2026 setting target matrix density to 92.0
  20. Thu Apr 23 18:17:36 2026 estimated available RAM is 128742.2 MB
  21. Thu Apr 23 18:17:36 2026 commencing duplicate removal, pass 1
  22. Thu Apr 23 18:58:29 2026 error -11 reading relation 232168508
  23. Thu Apr 23 19:06:14 2026 error -5 reading relation 274146842
  24. Thu Apr 23 19:06:15 2026 error -15 reading relation 274253991
  25. Thu Apr 23 19:17:33 2026 error -15 reading relation 332681567
  26. Thu Apr 23 19:17:49 2026 error -1 reading relation 333656262
  27. Thu Apr 23 19:21:16 2026 skipped 1520 relations with b > 2^32
  28. Thu Apr 23 19:21:16 2026 skipped 5 relations with composite factors
  29. Thu Apr 23 19:21:16 2026 skipped 8 malformed relations
  30. Thu Apr 23 19:21:16 2026 found 13381420 hash collisions in 348201543 relations
  31. Thu Apr 23 19:21:34 2026 added 1218188 free relations
  32. Thu Apr 23 19:21:34 2026 commencing duplicate removal, pass 2
  33. Thu Apr 23 19:26:58 2026 found 0 duplicates and 349419731 unique relations
  34. Thu Apr 23 19:26:58 2026 memory use: 1108.8 MB
  35. Thu Apr 23 19:26:58 2026 reading ideals above 720000
  36. Thu Apr 23 19:26:58 2026 commencing singleton removal, initial pass
  37. Thu Apr 23 20:59:43 2026 memory use: 11024.0 MB
  38. Thu Apr 23 20:59:44 2026 reading all ideals from disk
  39. Thu Apr 23 20:59:57 2026 memory use: 17400.7 MB
  40. Thu Apr 23 21:01:25 2026 keeping 330727479 ideals with weight <= 200, target excess is 1823069
  41. Thu Apr 23 21:02:53 2026 commencing in-memory singleton removal
  42. Thu Apr 23 21:04:58 2026 begin with 349419731 relations and 330727479 unique ideals
  43. Thu Apr 23 21:15:01 2026 reduce to 214283800 relations and 181153233 ideals in 18 passes
  44. Thu Apr 23 21:15:01 2026 max relations containing the same ideal: 153
  45. Thu Apr 23 21:18:06 2026 removing 13906032 relations and 11906032 ideals in 2000000 cliques
  46. Thu Apr 23 21:18:14 2026 commencing in-memory singleton removal
  47. Thu Apr 23 21:19:19 2026 begin with 200377768 relations and 181153233 unique ideals
  48. Thu Apr 23 21:22:17 2026 reduce to 199667560 relations and 168527822 ideals in 9 passes
  49. Thu Apr 23 21:22:17 2026 max relations containing the same ideal: 149
  50. Thu Apr 23 21:25:25 2026 removing 10499001 relations and 8499001 ideals in 2000000 cliques
  51. Thu Apr 23 21:25:33 2026 commencing in-memory singleton removal
  52. Thu Apr 23 21:26:35 2026 begin with 189168559 relations and 168527822 unique ideals
  53. Thu Apr 23 21:28:24 2026 reduce to 188711185 relations and 159566585 ideals in 7 passes
  54. Thu Apr 23 21:28:24 2026 max relations containing the same ideal: 144
  55. Thu Apr 23 21:31:13 2026 removing 9443616 relations and 7443616 ideals in 2000000 cliques
  56. Thu Apr 23 21:31:22 2026 commencing in-memory singleton removal
  57. Thu Apr 23 21:32:22 2026 begin with 179267569 relations and 159566585 unique ideals
  58. Thu Apr 23 21:35:10 2026 reduce to 178871028 relations and 151722248 ideals in 8 passes
  59. Thu Apr 23 21:35:10 2026 max relations containing the same ideal: 135
  60. Thu Apr 23 21:37:50 2026 removing 8883277 relations and 6883277 ideals in 2000000 cliques
  61. Thu Apr 23 21:37:58 2026 commencing in-memory singleton removal
  62. Thu Apr 23 21:38:50 2026 begin with 169987751 relations and 151722248 unique ideals
  63. Thu Apr 23 21:40:32 2026 reduce to 169618514 relations and 144465765 ideals in 7 passes
  64. Thu Apr 23 21:40:32 2026 max relations containing the same ideal: 134
  65. Thu Apr 23 21:43:02 2026 removing 8523934 relations and 6523934 ideals in 2000000 cliques
  66. Thu Apr 23 21:43:11 2026 commencing in-memory singleton removal
  67. Thu Apr 23 21:43:59 2026 begin with 161094580 relations and 144465765 unique ideals
  68. Thu Apr 23 21:46:06 2026 reduce to 160736392 relations and 137579747 ideals in 7 passes
  69. Thu Apr 23 21:46:06 2026 max relations containing the same ideal: 129
  70. Thu Apr 23 21:48:31 2026 removing 8284026 relations and 6284026 ideals in 2000000 cliques
  71. Thu Apr 23 21:48:39 2026 commencing in-memory singleton removal
  72. Thu Apr 23 21:49:25 2026 begin with 152452366 relations and 137579747 unique ideals
  73. Thu Apr 23 21:50:53 2026 reduce to 152096319 relations and 130935660 ideals in 7 passes
  74. Thu Apr 23 21:50:53 2026 max relations containing the same ideal: 125
  75. Thu Apr 23 21:53:14 2026 removing 8111891 relations and 6111891 ideals in 2000000 cliques
  76. Thu Apr 23 21:53:22 2026 commencing in-memory singleton removal
  77. Thu Apr 23 21:54:04 2026 begin with 143984428 relations and 130935660 unique ideals
  78. Thu Apr 23 21:56:08 2026 reduce to 143626767 relations and 124461857 ideals in 8 passes
  79. Thu Apr 23 21:56:08 2026 max relations containing the same ideal: 122
  80. Thu Apr 23 21:58:06 2026 removing 8002328 relations and 6002328 ideals in 2000000 cliques
  81. Thu Apr 23 21:58:12 2026 commencing in-memory singleton removal
  82. Thu Apr 23 21:58:52 2026 begin with 135624439 relations and 124461857 unique ideals
  83. Thu Apr 23 22:00:29 2026 reduce to 135259987 relations and 118090610 ideals in 8 passes
  84. Thu Apr 23 22:00:29 2026 max relations containing the same ideal: 116
  85. Thu Apr 23 22:02:24 2026 removing 7920392 relations and 5920392 ideals in 2000000 cliques
  86. Thu Apr 23 22:02:29 2026 commencing in-memory singleton removal
  87. Thu Apr 23 22:03:08 2026 begin with 127339595 relations and 118090610 unique ideals
  88. Thu Apr 23 22:04:17 2026 reduce to 126963142 relations and 111788859 ideals in 7 passes
  89. Thu Apr 23 22:04:17 2026 max relations containing the same ideal: 109
  90. Thu Apr 23 22:05:52 2026 removing 7872316 relations and 5872316 ideals in 2000000 cliques
  91. Thu Apr 23 22:05:57 2026 commencing in-memory singleton removal
  92. Thu Apr 23 22:06:31 2026 begin with 119090826 relations and 111788859 unique ideals
  93. Thu Apr 23 22:07:50 2026 reduce to 118697965 relations and 105518183 ideals in 9 passes
  94. Thu Apr 23 22:07:50 2026 max relations containing the same ideal: 104
  95. Thu Apr 23 22:09:12 2026 removing 7846568 relations and 5846568 ideals in 2000000 cliques
  96. Thu Apr 23 22:09:18 2026 commencing in-memory singleton removal
  97. Thu Apr 23 22:09:51 2026 begin with 110851397 relations and 105518183 unique ideals
  98. Thu Apr 23 22:10:57 2026 reduce to 110434642 relations and 99248859 ideals in 8 passes
  99. Thu Apr 23 22:10:57 2026 max relations containing the same ideal: 101
  100. Thu Apr 23 22:12:16 2026 removing 7847212 relations and 5847212 ideals in 2000000 cliques
  101. Thu Apr 23 22:12:21 2026 commencing in-memory singleton removal
  102. Thu Apr 23 22:12:50 2026 begin with 102587430 relations and 99248859 unique ideals
  103. Thu Apr 23 22:13:42 2026 reduce to 102144401 relations and 92951753 ideals in 7 passes
  104. Thu Apr 23 22:13:42 2026 max relations containing the same ideal: 95
  105. Thu Apr 23 22:14:54 2026 removing 7867741 relations and 5867741 ideals in 2000000 cliques
  106. Thu Apr 23 22:14:59 2026 commencing in-memory singleton removal
  107. Thu Apr 23 22:15:26 2026 begin with 94276660 relations and 92951753 unique ideals
  108. Thu Apr 23 22:16:20 2026 reduce to 93797842 relations and 86597293 ideals in 8 passes
  109. Thu Apr 23 22:16:20 2026 max relations containing the same ideal: 90
  110. Thu Apr 23 22:17:27 2026 removing 7906286 relations and 5906286 ideals in 2000000 cliques
  111. Thu Apr 23 22:17:31 2026 commencing in-memory singleton removal
  112. Thu Apr 23 22:17:55 2026 begin with 85891556 relations and 86597293 unique ideals
  113. Thu Apr 23 22:18:44 2026 reduce to 85367315 relations and 80157317 ideals in 8 passes
  114. Thu Apr 23 22:18:44 2026 max relations containing the same ideal: 84
  115. Thu Apr 23 22:19:45 2026 removing 7968002 relations and 5968002 ideals in 2000000 cliques
  116. Thu Apr 23 22:19:49 2026 commencing in-memory singleton removal
  117. Thu Apr 23 22:20:11 2026 begin with 77399313 relations and 80157317 unique ideals
  118. Thu Apr 23 22:21:01 2026 reduce to 76816899 relations and 73595380 ideals in 9 passes
  119. Thu Apr 23 22:21:01 2026 max relations containing the same ideal: 80
  120. Thu Apr 23 22:21:54 2026 removing 5018522 relations and 3911764 ideals in 1106758 cliques
  121. Thu Apr 23 22:21:58 2026 commencing in-memory singleton removal
  122. Thu Apr 23 22:22:18 2026 begin with 71798377 relations and 73595380 unique ideals
  123. Thu Apr 23 22:22:59 2026 reduce to 71554273 relations and 69436585 ideals in 8 passes
  124. Thu Apr 23 22:22:59 2026 max relations containing the same ideal: 75
  125. Thu Apr 23 22:24:00 2026 relations with 0 large ideals: 68787
  126. Thu Apr 23 22:24:00 2026 relations with 1 large ideals: 40911
  127. Thu Apr 23 22:24:00 2026 relations with 2 large ideals: 486471
  128. Thu Apr 23 22:24:00 2026 relations with 3 large ideals: 2800961
  129. Thu Apr 23 22:24:00 2026 relations with 4 large ideals: 8754627
  130. Thu Apr 23 22:24:00 2026 relations with 5 large ideals: 16347553
  131. Thu Apr 23 22:24:00 2026 relations with 6 large ideals: 19080094
  132. Thu Apr 23 22:24:00 2026 relations with 7+ large ideals: 23974869
  133. Thu Apr 23 22:24:00 2026 commencing 2-way merge
  134. Thu Apr 23 22:25:18 2026 reduce to 45210995 relation sets and 43093307 unique ideals
  135. Thu Apr 23 22:25:18 2026 commencing full merge
  136. Thu Apr 23 22:42:43 2026 memory use: 5435.0 MB
  137. Thu Apr 23 22:42:51 2026 found 22420316 cycles, need 22139507
  138. Thu Apr 23 22:43:02 2026 weight of 22139507 cycles is about 2036907236 (92.00/cycle)
  139. Thu Apr 23 22:43:03 2026 distribution of cycle lengths:
  140. Thu Apr 23 22:43:03 2026 1 relations: 2115512
  141. Thu Apr 23 22:43:03 2026 2 relations: 2104809
  142. Thu Apr 23 22:43:03 2026 3 relations: 2141075
  143. Thu Apr 23 22:43:03 2026 4 relations: 2036655
  144. Thu Apr 23 22:43:03 2026 5 relations: 1967918
  145. Thu Apr 23 22:43:03 2026 6 relations: 1852884
  146. Thu Apr 23 22:43:03 2026 7 relations: 1718505
  147. Thu Apr 23 22:43:03 2026 8 relations: 1549220
  148. Thu Apr 23 22:43:03 2026 9 relations: 1373788
  149. Thu Apr 23 22:43:03 2026 10+ relations: 5279141
  150. Thu Apr 23 22:43:03 2026 heaviest cycle: 23 relations
  151. Thu Apr 23 22:43:16 2026 commencing cycle optimization
  152. Thu Apr 23 22:44:21 2026 start with 145447386 relations
  153. Thu Apr 23 22:50:47 2026 pruned 4561716 relations
  154. Thu Apr 23 22:50:49 2026 memory use: 4425.7 MB
  155. Thu Apr 23 22:50:49 2026 distribution of cycle lengths:
  156. Thu Apr 23 22:50:49 2026 1 relations: 2115512
  157. Thu Apr 23 22:50:49 2026 2 relations: 2150647
  158. Thu Apr 23 22:50:49 2026 3 relations: 2218901
  159. Thu Apr 23 22:50:49 2026 4 relations: 2101875
  160. Thu Apr 23 22:50:49 2026 5 relations: 2039880
  161. Thu Apr 23 22:50:49 2026 6 relations: 1909569
  162. Thu Apr 23 22:50:49 2026 7 relations: 1771185
  163. Thu Apr 23 22:50:49 2026 8 relations: 1584153
  164. Thu Apr 23 22:50:49 2026 9 relations: 1396396
  165. Thu Apr 23 22:50:49 2026 10+ relations: 4851389
  166. Thu Apr 23 22:50:49 2026 heaviest cycle: 23 relations
  167. Thu Apr 23 22:51:51 2026 RelProcTime: 16455
  168. Thu Apr 23 22:51:51 2026 elapsed time 04:34:17
  169. Thu Apr 23 23:15:45 2026
  170. Thu Apr 23 23:15:45 2026
  171. Thu Apr 23 23:15:45 2026 Msieve v. 1.54 (SVN unknown)
  172. Thu Apr 23 23:15:45 2026 random seeds: 54d928a3 61b0bc92
  173. Thu Apr 23 23:15:45 2026 factoring 47199656790417547955336029218800241688899722983556802379772523868542570686499896428007986960292555593208437351882612713613152287472652037343886158183544006180257586873338620494385939091340454187060879215153239712100911561291930484165843287077 (242 digits)
  174. Thu Apr 23 23:15:47 2026 no P-1/P+1/ECM available, skipping
  175. Thu Apr 23 23:15:47 2026 commencing number field sieve (242-digit input)
  176. Thu Apr 23 23:15:47 2026 R0: 1
  177. Thu Apr 23 23:15:47 2026 R1: -361188648084531445929920877641340156544317601
  178. Thu Apr 23 23:15:47 2026 A0: -13
  179. Thu Apr 23 23:15:47 2026 A1: 0
  180. Thu Apr 23 23:15:47 2026 A2: 0
  181. Thu Apr 23 23:15:47 2026 A3: 0
  182. Thu Apr 23 23:15:47 2026 A4: 0
  183. Thu Apr 23 23:15:47 2026 A5: 0
  184. Thu Apr 23 23:15:47 2026 A6: 1
  185. Thu Apr 23 23:15:47 2026 skew 1.18, size 3.048e-13, alpha 1.953, combined = 4.730e-14 rroots = 2
  186. Thu Apr 23 23:15:47 2026
  187. Thu Apr 23 23:15:47 2026 commencing linear algebra
  188. Thu Apr 23 23:15:47 2026 using VBITS=128
  189. Thu Apr 23 23:15:51 2026 read 22139507 cycles
  190. Thu Apr 23 23:17:04 2026 cycles contain 70283190 unique relations
  191. Thu Apr 23 23:31:54 2026 read 70283190 relations
  192. Thu Apr 23 23:34:40 2026 using 20 quadratic characters above 4294917295
  193. Thu Apr 23 23:42:18 2026 building initial matrix
  194. Fri Apr 24 00:07:08 2026 memory use: 9174.4 MB
  195. Fri Apr 24 00:07:31 2026 read 22139507 cycles
  196. Fri Apr 24 00:07:39 2026 matrix is 22139320 x 22139507 (8260.6 MB) with weight 2379482564 (107.48/col)
  197. Fri Apr 24 00:07:39 2026 sparse part has weight 1944074106 (87.81/col)
  198. Fri Apr 24 00:14:44 2026 filtering completed in 2 passes
  199. Fri Apr 24 00:14:49 2026 matrix is 22134487 x 22134672 (8260.2 MB) with weight 2379332214 (107.49/col)
  200. Fri Apr 24 00:14:49 2026 sparse part has weight 1944019027 (87.83/col)
  201. Fri Apr 24 00:17:11 2026 matrix starts at (0, 0)
  202. Fri Apr 24 00:17:15 2026 matrix is 22134487 x 22134672 (8260.2 MB) with weight 2379332214 (107.49/col)
  203. Fri Apr 24 00:17:15 2026 sparse part has weight 1944019027 (87.83/col)
  204. Fri Apr 24 00:17:15 2026 saving the first 112 matrix rows for later
  205. Fri Apr 24 00:17:21 2026 matrix includes 128 packed rows
  206. Fri Apr 24 00:17:29 2026 matrix is 22134375 x 22134672 (7762.7 MB) with weight 1860165049 (84.04/col)
  207. Fri Apr 24 00:17:29 2026 sparse part has weight 1769334514 (79.93/col)
  208. Fri Apr 24 00:17:30 2026 using GPU 0 (Tesla P100-PCIE-16GB)
  209. Fri Apr 24 00:17:30 2026 selected card has CUDA arch 6.0
  210. Fri Apr 24 00:23:55 2026 commencing Lanczos iteration
  211. Fri Apr 24 00:23:57 2026 memory use: 16538.7 MB
  212. Fri Apr 24 00:34:23 2026 linear algebra at 0.1%, ETA 124h41m
  213. Fri Apr 24 00:37:03 2026 checking every 10000 dimensions, checkpointing every 180000 dimensions
  214. Wed Apr 29 04:19:18 2026 lanczos halted after 173968 iterations (dim = 22134375)
  215. Wed Apr 29 04:24:57 2026 recovered 37 nontrivial dependencies
  216. Wed Apr 29 04:25:19 2026 BLanczosTime: 450572
  217. Wed Apr 29 04:25:19 2026
  218. Wed Apr 29 04:25:19 2026 commencing square root phase
  219. Wed Apr 29 04:25:19 2026 handling dependencies 1 to 64
  220. Wed Apr 29 04:25:19 2026 reading relations for dependency 1
  221. Wed Apr 29 05:28:45 2026 read 11070152 cycles
  222. Wed Apr 29 05:29:28 2026 cycles contain 35139714 unique relations
  223. Wed Apr 29 05:36:57 2026 read 35139714 relations
  224. Wed Apr 29 05:42:06 2026 multiplying 35139714 relations
  225. Wed Apr 29 06:30:28 2026 multiply complete, coefficients have about 932.19 million bits
  226. Wed Apr 29 06:30:34 2026 initial square root is modulo 230731663
  227. Wed Apr 29 07:12:39 2026 sqrtTime: 10040
  228. Wed Apr 29 07:12:39 2026 p74 factor: 53046815556788643059357738103802306417080535062349379511600085272929241947
  229. Wed Apr 29 07:12:39 2026 p168 factor: 889773614023795863578350773276379298132133614750247157458030743786068445157879772259817523785558524712767096590215206511636789708662903158259653993074581831837301681791
  230. Wed Apr 29 07:12:39 2026 elapsed time 127:56:54
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