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Dec 20th, 2023
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  1. Tue Dec 19 21:48:47 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Dec 19 21:48:47 2023 random seeds: ae3cd29e 6e1ef11b
  3. Tue Dec 19 21:48:47 2023 Using 16 OpenMP threads
  4. Tue Dec 19 21:48:47 2023 factoring 100782693102096909588191306572434800208396476279005645139294485809698642653033697846696171195637023977602243570762404190109258341709170833774202269241916848489195342434308115313999628565739522815399710627225075438105587847457645764431533 (237 digits)
  5. Tue Dec 19 21:48:48 2023 no P-1/P+1/ECM available, skipping
  6. Tue Dec 19 21:48:48 2023 commencing number field sieve (237-digit input)
  7. Tue Dec 19 21:48:48 2023 R0: 6626407607736641103900260617069258125403649041
  8. Tue Dec 19 21:48:48 2023 R1: -309485009821345068724781056
  9. Tue Dec 19 21:48:48 2023 A0: 121
  10. Tue Dec 19 21:48:48 2023 A1: 0
  11. Tue Dec 19 21:48:48 2023 A2: 0
  12. Tue Dec 19 21:48:48 2023 A3: 0
  13. Tue Dec 19 21:48:48 2023 A4: 0
  14. Tue Dec 19 21:48:48 2023 A5: 0
  15. Tue Dec 19 21:48:48 2023 A6: 16
  16. Tue Dec 19 21:48:48 2023 skew 1.40, size 9.423e-14, alpha 0.678, combined = 1.993e-14 rroots = 0
  17. Tue Dec 19 21:48:48 2023
  18. Tue Dec 19 21:48:48 2023 commencing relation filtering
  19. Tue Dec 19 21:48:48 2023 setting target matrix density to 115.0
  20. Tue Dec 19 21:48:48 2023 estimated available RAM is 128734.5 MB
  21. Tue Dec 19 21:48:48 2023 commencing duplicate removal, pass 1
  22. Tue Dec 19 21:50:43 2023 error -11 reading relation 143955269
  23. Tue Dec 19 21:51:32 2023 error -15 reading relation 211709903
  24. Tue Dec 19 21:51:47 2023 error -11 reading relation 232141876
  25. Tue Dec 19 21:52:19 2023 skipped 1656 relations with b > 2^32
  26. Tue Dec 19 21:52:19 2023 skipped 3 malformed relations
  27. Tue Dec 19 21:52:19 2023 found 8488110 hash collisions in 275884235 relations
  28. Tue Dec 19 21:52:27 2023 added 1218871 free relations
  29. Tue Dec 19 21:52:27 2023 commencing duplicate removal, pass 2
  30. Tue Dec 19 21:53:36 2023 found 0 duplicates and 277103106 unique relations
  31. Tue Dec 19 21:53:36 2023 memory use: 810.4 MB
  32. Tue Dec 19 21:53:36 2023 reading ideals above 720000
  33. Tue Dec 19 21:53:36 2023 commencing singleton removal, initial pass
  34. Tue Dec 19 22:08:03 2023 memory use: 6024.0 MB
  35. Tue Dec 19 22:08:03 2023 reading all ideals from disk
  36. Tue Dec 19 22:08:05 2023 memory use: 13979.8 MB
  37. Tue Dec 19 22:08:19 2023 keeping 266057757 ideals with weight <= 200, target excess is 1433891
  38. Tue Dec 19 22:08:43 2023 commencing in-memory singleton removal
  39. Tue Dec 19 22:08:48 2023 begin with 277103106 relations and 266057757 unique ideals
  40. Tue Dec 19 22:09:30 2023 reduce to 193291864 relations and 177170209 ideals in 20 passes
  41. Tue Dec 19 22:09:30 2023 max relations containing the same ideal: 168
  42. Tue Dec 19 22:10:12 2023 removing 16302781 relations and 14302781 ideals in 2000000 cliques
  43. Tue Dec 19 22:10:18 2023 commencing in-memory singleton removal
  44. Tue Dec 19 22:10:21 2023 begin with 176989083 relations and 177170209 unique ideals
  45. Tue Dec 19 22:10:38 2023 reduce to 175777994 relations and 161638476 ideals in 10 passes
  46. Tue Dec 19 22:10:38 2023 max relations containing the same ideal: 155
  47. Tue Dec 19 22:11:15 2023 removing 12258174 relations and 10258174 ideals in 2000000 cliques
  48. Tue Dec 19 22:11:19 2023 commencing in-memory singleton removal
  49. Tue Dec 19 22:11:22 2023 begin with 163519820 relations and 161638476 unique ideals
  50. Tue Dec 19 22:11:39 2023 reduce to 162754876 relations and 150605734 ideals in 10 passes
  51. Tue Dec 19 22:11:39 2023 max relations containing the same ideal: 148
  52. Tue Dec 19 22:12:18 2023 removing 11018154 relations and 9018154 ideals in 2000000 cliques
  53. Tue Dec 19 22:12:23 2023 commencing in-memory singleton removal
  54. Tue Dec 19 22:12:26 2023 begin with 151736722 relations and 150605734 unique ideals
  55. Tue Dec 19 22:12:41 2023 reduce to 151070198 relations and 140912685 ideals in 10 passes
  56. Tue Dec 19 22:12:41 2023 max relations containing the same ideal: 143
  57. Tue Dec 19 22:13:14 2023 removing 10383290 relations and 8383290 ideals in 2000000 cliques
  58. Tue Dec 19 22:13:18 2023 commencing in-memory singleton removal
  59. Tue Dec 19 22:13:21 2023 begin with 140686908 relations and 140912685 unique ideals
  60. Tue Dec 19 22:13:35 2023 reduce to 140053222 relations and 131887754 ideals in 10 passes
  61. Tue Dec 19 22:13:35 2023 max relations containing the same ideal: 135
  62. Tue Dec 19 22:14:07 2023 removing 9993438 relations and 7993438 ideals in 2000000 cliques
  63. Tue Dec 19 22:14:12 2023 commencing in-memory singleton removal
  64. Tue Dec 19 22:14:15 2023 begin with 130059784 relations and 131887754 unique ideals
  65. Tue Dec 19 22:14:28 2023 reduce to 129433658 relations and 123259792 ideals in 10 passes
  66. Tue Dec 19 22:14:28 2023 max relations containing the same ideal: 128
  67. Tue Dec 19 22:14:57 2023 removing 9748188 relations and 7748188 ideals in 2000000 cliques
  68. Tue Dec 19 22:15:01 2023 commencing in-memory singleton removal
  69. Tue Dec 19 22:15:03 2023 begin with 119685470 relations and 123259792 unique ideals
  70. Tue Dec 19 22:15:15 2023 reduce to 119046643 relations and 114863697 ideals in 9 passes
  71. Tue Dec 19 22:15:15 2023 max relations containing the same ideal: 122
  72. Tue Dec 19 22:15:48 2023 removing 9590825 relations and 7590825 ideals in 2000000 cliques
  73. Tue Dec 19 22:15:52 2023 commencing in-memory singleton removal
  74. Tue Dec 19 22:15:54 2023 begin with 109455818 relations and 114863697 unique ideals
  75. Tue Dec 19 22:16:04 2023 reduce to 108787638 relations and 106594664 ideals in 8 passes
  76. Tue Dec 19 22:16:04 2023 max relations containing the same ideal: 111
  77. Tue Dec 19 22:16:31 2023 removing 3261254 relations and 2731594 ideals in 529660 cliques
  78. Tue Dec 19 22:16:33 2023 commencing in-memory singleton removal
  79. Tue Dec 19 22:16:35 2023 begin with 105526384 relations and 106594664 unique ideals
  80. Tue Dec 19 22:16:44 2023 reduce to 105451711 relations and 103788048 ideals in 7 passes
  81. Tue Dec 19 22:16:44 2023 max relations containing the same ideal: 110
  82. Tue Dec 19 22:17:26 2023 relations with 0 large ideals: 54849
  83. Tue Dec 19 22:17:26 2023 relations with 1 large ideals: 16861
  84. Tue Dec 19 22:17:26 2023 relations with 2 large ideals: 232823
  85. Tue Dec 19 22:17:26 2023 relations with 3 large ideals: 1680643
  86. Tue Dec 19 22:17:26 2023 relations with 4 large ideals: 6795888
  87. Tue Dec 19 22:17:26 2023 relations with 5 large ideals: 16733470
  88. Tue Dec 19 22:17:26 2023 relations with 6 large ideals: 26241936
  89. Tue Dec 19 22:17:26 2023 relations with 7+ large ideals: 53695241
  90. Tue Dec 19 22:17:26 2023 commencing 2-way merge
  91. Tue Dec 19 22:18:07 2023 reduce to 66682706 relation sets and 65019043 unique ideals
  92. Tue Dec 19 22:18:07 2023 commencing full merge
  93. Tue Dec 19 22:40:06 2023 memory use: 8396.7 MB
  94. Tue Dec 19 22:40:12 2023 found 30246274 cycles, need 30201243
  95. Tue Dec 19 22:40:20 2023 weight of 30201243 cycles is about 3473294456 (115.01/cycle)
  96. Tue Dec 19 22:40:20 2023 distribution of cycle lengths:
  97. Tue Dec 19 22:40:20 2023 1 relations: 2365159
  98. Tue Dec 19 22:40:20 2023 2 relations: 2493109
  99. Tue Dec 19 22:40:20 2023 3 relations: 2526191
  100. Tue Dec 19 22:40:20 2023 4 relations: 2376968
  101. Tue Dec 19 22:40:20 2023 5 relations: 2257431
  102. Tue Dec 19 22:40:20 2023 6 relations: 2111131
  103. Tue Dec 19 22:40:20 2023 7 relations: 1948678
  104. Tue Dec 19 22:40:20 2023 8 relations: 1807344
  105. Tue Dec 19 22:40:20 2023 9 relations: 1653477
  106. Tue Dec 19 22:40:20 2023 10+ relations: 10661755
  107. Tue Dec 19 22:40:20 2023 heaviest cycle: 28 relations
  108. Tue Dec 19 22:40:28 2023 commencing cycle optimization
  109. Tue Dec 19 22:41:21 2023 start with 247644182 relations
  110. Tue Dec 19 22:48:53 2023 pruned 9109836 relations
  111. Tue Dec 19 22:48:54 2023 memory use: 6887.4 MB
  112. Tue Dec 19 22:48:54 2023 distribution of cycle lengths:
  113. Tue Dec 19 22:48:54 2023 1 relations: 2365159
  114. Tue Dec 19 22:48:54 2023 2 relations: 2551592
  115. Tue Dec 19 22:48:54 2023 3 relations: 2625817
  116. Tue Dec 19 22:48:54 2023 4 relations: 2459922
  117. Tue Dec 19 22:48:54 2023 5 relations: 2345812
  118. Tue Dec 19 22:48:54 2023 6 relations: 2179944
  119. Tue Dec 19 22:48:54 2023 7 relations: 2012187
  120. Tue Dec 19 22:48:54 2023 8 relations: 1853615
  121. Tue Dec 19 22:48:54 2023 9 relations: 1691886
  122. Tue Dec 19 22:48:54 2023 10+ relations: 10115309
  123. Tue Dec 19 22:48:54 2023 heaviest cycle: 28 relations
  124. Tue Dec 19 22:49:33 2023 RelProcTime: 3645
  125. Tue Dec 19 22:49:33 2023 elapsed time 01:00:46
  126. Tue Dec 19 23:17:51 2023
  127. Tue Dec 19 23:17:51 2023
  128. Tue Dec 19 23:17:51 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  129. Tue Dec 19 23:17:51 2023 random seeds: 53df2f74 97ef5d22
  130. Tue Dec 19 23:17:51 2023 MPI process 0 of 2
  131. Tue Dec 19 23:17:51 2023 Using 8 OpenMP threads
  132. Tue Dec 19 23:17:51 2023 factoring 100782693102096909588191306572434800208396476279005645139294485809698642653033697846696171195637023977602243570762404190109258341709170833774202269241916848489195342434308115313999628565739522815399710627225075438105587847457645764431533 (237 digits)
  133. Tue Dec 19 23:17:52 2023 no P-1/P+1/ECM available, skipping
  134. Tue Dec 19 23:17:52 2023 commencing number field sieve (237-digit input)
  135. Tue Dec 19 23:17:52 2023 R0: 6626407607736641103900260617069258125403649041
  136. Tue Dec 19 23:17:52 2023 R1: -309485009821345068724781056
  137. Tue Dec 19 23:17:52 2023 A0: 121
  138. Tue Dec 19 23:17:52 2023 A1: 0
  139. Tue Dec 19 23:17:52 2023 A2: 0
  140. Tue Dec 19 23:17:52 2023 A3: 0
  141. Tue Dec 19 23:17:52 2023 A4: 0
  142. Tue Dec 19 23:17:52 2023 A5: 0
  143. Tue Dec 19 23:17:52 2023 A6: 16
  144. Tue Dec 19 23:17:52 2023 skew 1.40, size 9.423e-14, alpha 0.678, combined = 1.993e-14 rroots = 0
  145. Tue Dec 19 23:17:52 2023
  146. Tue Dec 19 23:17:52 2023 commencing linear algebra
  147. Tue Dec 19 23:17:52 2023 using VBITS=256
  148. Tue Dec 19 23:17:52 2023 initialized process (0,0) of 1 x 2 grid
  149. Tue Dec 19 23:17:56 2023 read 30201243 cycles
  150. Tue Dec 19 23:19:00 2023 cycles contain 104355007 unique relations
  151. Tue Dec 19 23:20:16 2023 read 104355007 relations
  152. Tue Dec 19 23:20:42 2023 using 20 quadratic characters above 4294917295
  153. Tue Dec 19 23:21:20 2023 building initial matrix
  154. Tue Dec 19 23:42:02 2023 memory use: 13169.9 MB
  155. Tue Dec 19 23:42:21 2023 read 30201243 cycles
  156. Tue Dec 19 23:42:25 2023 matrix is 30201066 x 30201243 (13844.1 MB) with weight 3916080482 (129.67/col)
  157. Tue Dec 19 23:42:25 2023 sparse part has weight 3296924780 (109.17/col)
  158. Tue Dec 19 23:47:00 2023 filtering completed in 2 passes
  159. Tue Dec 19 23:47:06 2023 matrix is 30200101 x 30200274 (13844.0 MB) with weight 3916050229 (129.67/col)
  160. Tue Dec 19 23:47:06 2023 sparse part has weight 3296915027 (109.17/col)
  161. Tue Dec 19 23:48:14 2023 matrix starts at (0, 0)
  162. Tue Dec 19 23:48:16 2023 matrix is 30200101 x 15100130 (6922.0 MB) with weight 1958010571 (129.67/col)
  163. Tue Dec 19 23:48:16 2023 sparse part has weight 1648457674 (109.17/col)
  164. Tue Dec 19 23:48:16 2023 saving the first 240 matrix rows for later
  165. Tue Dec 19 23:48:20 2023 matrix includes 256 packed rows
  166. Tue Dec 19 23:48:28 2023 matrix is 30199861 x 15100130 (6388.0 MB) with weight 1506532753 (99.77/col)
  167. Tue Dec 19 23:48:28 2023 sparse part has weight 1432967724 (94.90/col)
  168. Tue Dec 19 23:48:29 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  169. Tue Dec 19 23:48:29 2023 selected card has CUDA arch 8.6
  170. Tue Dec 19 23:49:55 2023 commencing Lanczos iteration
  171. Tue Dec 19 23:49:57 2023 memory use: 16174.5 MB
  172. Tue Dec 19 23:50:49 2023 linear algebra at 0.1%, ETA 13h40m
  173. Tue Dec 19 23:52:05 2023 checking every 30000 dimensions, checkpointing every 2220000 dimensions
  174. Wed Dec 20 13:37:46 2023 lanczos halted after 118324 iterations (dim = 30199860)
  175. Wed Dec 20 13:39:27 2023 recovered 42 nontrivial dependencies
  176. Wed Dec 20 13:39:27 2023 BLanczosTime: 51695
  177. Wed Dec 20 13:39:27 2023 elapsed time 14:21:36
  178. Wed Dec 20 13:39:28 2023
  179. Wed Dec 20 13:39:28 2023
  180. Wed Dec 20 13:39:28 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  181. Wed Dec 20 13:39:28 2023 random seeds: 06e92ed7 f0c46ef7
  182. Wed Dec 20 13:39:28 2023 Using 16 OpenMP threads
  183. Wed Dec 20 13:39:28 2023 factoring 100782693102096909588191306572434800208396476279005645139294485809698642653033697846696171195637023977602243570762404190109258341709170833774202269241916848489195342434308115313999628565739522815399710627225075438105587847457645764431533 (237 digits)
  184. Wed Dec 20 13:39:29 2023 no P-1/P+1/ECM available, skipping
  185. Wed Dec 20 13:39:29 2023 commencing number field sieve (237-digit input)
  186. Wed Dec 20 13:39:29 2023 R0: 6626407607736641103900260617069258125403649041
  187. Wed Dec 20 13:39:29 2023 R1: -309485009821345068724781056
  188. Wed Dec 20 13:39:29 2023 A0: 121
  189. Wed Dec 20 13:39:29 2023 A1: 0
  190. Wed Dec 20 13:39:29 2023 A2: 0
  191. Wed Dec 20 13:39:29 2023 A3: 0
  192. Wed Dec 20 13:39:29 2023 A4: 0
  193. Wed Dec 20 13:39:29 2023 A5: 0
  194. Wed Dec 20 13:39:29 2023 A6: 16
  195. Wed Dec 20 13:39:29 2023 skew 1.40, size 9.423e-14, alpha 0.678, combined = 1.993e-14 rroots = 0
  196. Wed Dec 20 13:39:29 2023
  197. Wed Dec 20 13:39:29 2023 commencing square root phase
  198. Wed Dec 20 13:39:29 2023 reading relations for dependency 1
  199. Wed Dec 20 13:39:31 2023 read 15100687 cycles
  200. Wed Dec 20 13:39:56 2023 cycles contain 52183824 unique relations
  201. Wed Dec 20 13:40:42 2023 read 52183824 relations
  202. Wed Dec 20 13:43:49 2023 multiplying 52183824 relations
  203. Wed Dec 20 13:49:03 2023 multiply complete, coefficients have about 1608.02 million bits
  204. Wed Dec 20 13:49:07 2023 initial square root is modulo 16336591
  205. Wed Dec 20 14:01:05 2023 GCD is N, no factor found
  206. Wed Dec 20 14:01:05 2023 reading relations for dependency 2
  207. Wed Dec 20 14:01:07 2023 read 15096609 cycles
  208. Wed Dec 20 14:01:31 2023 cycles contain 52162544 unique relations
  209. Wed Dec 20 14:02:09 2023 read 52162544 relations
  210. Wed Dec 20 14:05:18 2023 multiplying 52162544 relations
  211. Wed Dec 20 14:10:25 2023 multiply complete, coefficients have about 1607.36 million bits
  212. Wed Dec 20 14:10:28 2023 initial square root is modulo 16224547
  213. Wed Dec 20 14:22:04 2023 sqrtTime: 2555
  214. Wed Dec 20 14:22:04 2023 p65 factor: 62780515198772766320936344647282778719764012306793757565120072293
  215. Wed Dec 20 14:22:04 2023 p172 factor: 1605318031924449864065103685461758262974056560560295421093147460022047615250780749206767795743999509506978551358157302360841599193674815824029528826011847483587802246400681
  216. Wed Dec 20 14:22:04 2023 elapsed time 00:42:36
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