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Mar 26th, 2025
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  1. Tue Mar 25 18:37:03 2025 Msieve v. 1.54 (SVN 03e8738)
  2. Tue Mar 25 18:37:03 2025 random seeds: 0969b2ab 97d20790
  3. Tue Mar 25 18:37:03 2025 Using 16 OpenMP threads
  4. Tue Mar 25 18:37:03 2025 factoring 348058701532577476178597857828221695880917345395399206583563509784460130139509619985602441143411493851305170201147976418661948133817575144238839101582337600907218897 (165 digits)
  5. Tue Mar 25 18:37:04 2025 no P-1/P+1/ECM available, skipping
  6. Tue Mar 25 18:37:04 2025 commencing number field sieve (165-digit input)
  7. Tue Mar 25 18:37:04 2025 R0: -187249241078658196533139695112351
  8. Tue Mar 25 18:37:04 2025 R1: 114771584265448709
  9. Tue Mar 25 18:37:04 2025 A0: 195736894124712323507387342882413581895127112
  10. Tue Mar 25 18:37:04 2025 A1: 742244486125576059777105030154721726
  11. Tue Mar 25 18:37:04 2025 A2: -56941731127725129640148589043
  12. Tue Mar 25 18:37:04 2025 A3: 61584975620223059838
  13. Tue Mar 25 18:37:04 2025 A4: 2122156598420
  14. Tue Mar 25 18:37:04 2025 A5: 1512
  15. Tue Mar 25 18:37:04 2025 skew 177681216.14, size 3.126e-16, alpha -7.821, combined = 5.437e-13 rroots = 5
  16. Tue Mar 25 18:37:04 2025
  17. Tue Mar 25 18:37:04 2025 commencing relation filtering
  18. Tue Mar 25 18:37:04 2025 setting target matrix density to 120.0
  19. Tue Mar 25 18:37:04 2025 estimated available RAM is 128734.6 MB
  20. Tue Mar 25 18:37:04 2025 commencing duplicate removal, pass 1
  21. Tue Mar 25 18:40:05 2025 skipped 1 malformed relations
  22. Tue Mar 25 18:40:05 2025 found 7933696 hash collisions in 190084927 relations
  23. Tue Mar 25 18:40:18 2025 added 121562 free relations
  24. Tue Mar 25 18:40:18 2025 commencing duplicate removal, pass 2
  25. Tue Mar 25 18:40:55 2025 found 0 duplicates and 190206489 unique relations
  26. Tue Mar 25 18:40:55 2025 memory use: 554.4 MB
  27. Tue Mar 25 18:40:55 2025 reading ideals above 720000
  28. Tue Mar 25 18:40:55 2025 commencing singleton removal, initial pass
  29. Tue Mar 25 18:45:42 2025 memory use: 5512.0 MB
  30. Tue Mar 25 18:45:42 2025 reading all ideals from disk
  31. Tue Mar 25 18:45:43 2025 memory use: 8765.5 MB
  32. Tue Mar 25 18:45:50 2025 keeping 163641851 ideals with weight <= 200, target excess is 940883
  33. Tue Mar 25 18:46:00 2025 commencing in-memory singleton removal
  34. Tue Mar 25 18:46:04 2025 begin with 190206489 relations and 163641851 unique ideals
  35. Tue Mar 25 18:46:24 2025 reduce to 146638234 relations and 118052584 ideals in 14 passes
  36. Tue Mar 25 18:46:24 2025 max relations containing the same ideal: 177
  37. Tue Mar 25 18:46:49 2025 removing 11448196 relations and 9448196 ideals in 2000000 cliques
  38. Tue Mar 25 18:46:52 2025 commencing in-memory singleton removal
  39. Tue Mar 25 18:46:54 2025 begin with 135190038 relations and 118052584 unique ideals
  40. Tue Mar 25 18:47:04 2025 reduce to 134527483 relations and 107930306 ideals in 8 passes
  41. Tue Mar 25 18:47:04 2025 max relations containing the same ideal: 168
  42. Tue Mar 25 18:47:27 2025 removing 8747878 relations and 6747878 ideals in 2000000 cliques
  43. Tue Mar 25 18:47:30 2025 commencing in-memory singleton removal
  44. Tue Mar 25 18:47:32 2025 begin with 125779605 relations and 107930306 unique ideals
  45. Tue Mar 25 18:47:40 2025 reduce to 125330476 relations and 100726496 ideals in 8 passes
  46. Tue Mar 25 18:47:40 2025 max relations containing the same ideal: 162
  47. Tue Mar 25 18:48:02 2025 removing 7935984 relations and 5935984 ideals in 2000000 cliques
  48. Tue Mar 25 18:48:04 2025 commencing in-memory singleton removal
  49. Tue Mar 25 18:48:06 2025 begin with 117394492 relations and 100726496 unique ideals
  50. Tue Mar 25 18:48:13 2025 reduce to 116993795 relations and 94383740 ideals in 7 passes
  51. Tue Mar 25 18:48:13 2025 max relations containing the same ideal: 154
  52. Tue Mar 25 18:48:34 2025 removing 7522839 relations and 5522839 ideals in 2000000 cliques
  53. Tue Mar 25 18:48:36 2025 commencing in-memory singleton removal
  54. Tue Mar 25 18:48:37 2025 begin with 109470956 relations and 94383740 unique ideals
  55. Tue Mar 25 18:48:44 2025 reduce to 109089285 relations and 88473190 ideals in 7 passes
  56. Tue Mar 25 18:48:44 2025 max relations containing the same ideal: 150
  57. Tue Mar 25 18:49:03 2025 removing 7270728 relations and 5270728 ideals in 2000000 cliques
  58. Tue Mar 25 18:49:05 2025 commencing in-memory singleton removal
  59. Tue Mar 25 18:49:07 2025 begin with 101818557 relations and 88473190 unique ideals
  60. Tue Mar 25 18:49:12 2025 reduce to 101440882 relations and 82818407 ideals in 6 passes
  61. Tue Mar 25 18:49:12 2025 max relations containing the same ideal: 142
  62. Tue Mar 25 18:49:30 2025 removing 7111720 relations and 5111720 ideals in 2000000 cliques
  63. Tue Mar 25 18:49:32 2025 commencing in-memory singleton removal
  64. Tue Mar 25 18:49:33 2025 begin with 94329162 relations and 82818407 unique ideals
  65. Tue Mar 25 18:49:40 2025 reduce to 93945068 relations and 77315707 ideals in 8 passes
  66. Tue Mar 25 18:49:40 2025 max relations containing the same ideal: 131
  67. Tue Mar 25 18:49:56 2025 removing 7005905 relations and 5005905 ideals in 2000000 cliques
  68. Tue Mar 25 18:49:58 2025 commencing in-memory singleton removal
  69. Tue Mar 25 18:50:00 2025 begin with 86939163 relations and 77315707 unique ideals
  70. Tue Mar 25 18:50:05 2025 reduce to 86538785 relations and 71901774 ideals in 7 passes
  71. Tue Mar 25 18:50:05 2025 max relations containing the same ideal: 126
  72. Tue Mar 25 18:50:20 2025 removing 6946780 relations and 4946780 ideals in 2000000 cliques
  73. Tue Mar 25 18:50:22 2025 commencing in-memory singleton removal
  74. Tue Mar 25 18:50:23 2025 begin with 79592005 relations and 71901774 unique ideals
  75. Tue Mar 25 18:50:28 2025 reduce to 79167342 relations and 66521659 ideals in 7 passes
  76. Tue Mar 25 18:50:28 2025 max relations containing the same ideal: 120
  77. Tue Mar 25 18:50:43 2025 removing 6922156 relations and 4922156 ideals in 2000000 cliques
  78. Tue Mar 25 18:50:44 2025 commencing in-memory singleton removal
  79. Tue Mar 25 18:50:45 2025 begin with 72245186 relations and 66521659 unique ideals
  80. Tue Mar 25 18:50:50 2025 reduce to 71787290 relations and 61131356 ideals in 9 passes
  81. Tue Mar 25 18:50:50 2025 max relations containing the same ideal: 111
  82. Tue Mar 25 18:51:04 2025 removing 6928160 relations and 4928160 ideals in 2000000 cliques
  83. Tue Mar 25 18:51:06 2025 commencing in-memory singleton removal
  84. Tue Mar 25 18:51:07 2025 begin with 64859130 relations and 61131356 unique ideals
  85. Tue Mar 25 18:51:10 2025 reduce to 64353786 relations and 55685596 ideals in 7 passes
  86. Tue Mar 25 18:51:10 2025 max relations containing the same ideal: 102
  87. Tue Mar 25 18:51:23 2025 removing 6969223 relations and 4969223 ideals in 2000000 cliques
  88. Tue Mar 25 18:51:24 2025 commencing in-memory singleton removal
  89. Tue Mar 25 18:51:25 2025 begin with 57384563 relations and 55685596 unique ideals
  90. Tue Mar 25 18:51:28 2025 reduce to 56816632 relations and 50133091 ideals in 8 passes
  91. Tue Mar 25 18:51:28 2025 max relations containing the same ideal: 97
  92. Tue Mar 25 18:51:39 2025 removing 7047069 relations and 5047069 ideals in 2000000 cliques
  93. Tue Mar 25 18:51:41 2025 commencing in-memory singleton removal
  94. Tue Mar 25 18:51:42 2025 begin with 49769563 relations and 50133091 unique ideals
  95. Tue Mar 25 18:51:45 2025 reduce to 49106904 relations and 44403261 ideals in 9 passes
  96. Tue Mar 25 18:51:45 2025 max relations containing the same ideal: 85
  97. Tue Mar 25 18:51:55 2025 removing 7161156 relations and 5161156 ideals in 2000000 cliques
  98. Tue Mar 25 18:51:56 2025 commencing in-memory singleton removal
  99. Tue Mar 25 18:51:57 2025 begin with 41945748 relations and 44403261 unique ideals
  100. Tue Mar 25 18:51:59 2025 reduce to 41142631 relations and 38410892 ideals in 9 passes
  101. Tue Mar 25 18:51:59 2025 max relations containing the same ideal: 77
  102. Tue Mar 25 18:52:08 2025 removing 6260314 relations and 4620000 ideals in 1640314 cliques
  103. Tue Mar 25 18:52:09 2025 commencing in-memory singleton removal
  104. Tue Mar 25 18:52:10 2025 begin with 34882317 relations and 38410892 unique ideals
  105. Tue Mar 25 18:52:12 2025 reduce to 34145606 relations and 33028581 ideals in 10 passes
  106. Tue Mar 25 18:52:12 2025 max relations containing the same ideal: 69
  107. Tue Mar 25 18:52:19 2025 removing 211476 relations and 185876 ideals in 25600 cliques
  108. Tue Mar 25 18:52:20 2025 commencing in-memory singleton removal
  109. Tue Mar 25 18:52:20 2025 begin with 33934130 relations and 33028581 unique ideals
  110. Tue Mar 25 18:52:21 2025 reduce to 33933433 relations and 32842008 ideals in 5 passes
  111. Tue Mar 25 18:52:21 2025 max relations containing the same ideal: 69
  112. Tue Mar 25 18:52:24 2025 relations with 0 large ideals: 3280
  113. Tue Mar 25 18:52:24 2025 relations with 1 large ideals: 26018
  114. Tue Mar 25 18:52:24 2025 relations with 2 large ideals: 346386
  115. Tue Mar 25 18:52:24 2025 relations with 3 large ideals: 1895719
  116. Tue Mar 25 18:52:24 2025 relations with 4 large ideals: 5426987
  117. Tue Mar 25 18:52:24 2025 relations with 5 large ideals: 9007306
  118. Tue Mar 25 18:52:24 2025 relations with 6 large ideals: 9106009
  119. Tue Mar 25 18:52:24 2025 relations with 7+ large ideals: 8121728
  120. Tue Mar 25 18:52:24 2025 commencing 2-way merge
  121. Tue Mar 25 18:52:34 2025 reduce to 20645147 relation sets and 19553722 unique ideals
  122. Tue Mar 25 18:52:34 2025 commencing full merge
  123. Tue Mar 25 18:56:30 2025 memory use: 2412.4 MB
  124. Tue Mar 25 18:56:32 2025 found 9220527 cycles, need 9149922
  125. Tue Mar 25 18:56:33 2025 weight of 9149922 cycles is about 1098090952 (120.01/cycle)
  126. Tue Mar 25 18:56:33 2025 distribution of cycle lengths:
  127. Tue Mar 25 18:56:33 2025 1 relations: 495964
  128. Tue Mar 25 18:56:33 2025 2 relations: 613151
  129. Tue Mar 25 18:56:33 2025 3 relations: 658792
  130. Tue Mar 25 18:56:33 2025 4 relations: 654660
  131. Tue Mar 25 18:56:33 2025 5 relations: 660845
  132. Tue Mar 25 18:56:33 2025 6 relations: 646835
  133. Tue Mar 25 18:56:33 2025 7 relations: 638375
  134. Tue Mar 25 18:56:33 2025 8 relations: 605461
  135. Tue Mar 25 18:56:33 2025 9 relations: 575420
  136. Tue Mar 25 18:56:33 2025 10+ relations: 3600419
  137. Tue Mar 25 18:56:33 2025 heaviest cycle: 28 relations
  138. Tue Mar 25 18:56:35 2025 commencing cycle optimization
  139. Tue Mar 25 18:56:47 2025 start with 79883428 relations
  140. Tue Mar 25 18:58:21 2025 pruned 3275961 relations
  141. Tue Mar 25 18:58:21 2025 memory use: 2205.2 MB
  142. Tue Mar 25 18:58:21 2025 distribution of cycle lengths:
  143. Tue Mar 25 18:58:21 2025 1 relations: 495964
  144. Tue Mar 25 18:58:21 2025 2 relations: 628071
  145. Tue Mar 25 18:58:21 2025 3 relations: 685355
  146. Tue Mar 25 18:58:21 2025 4 relations: 679083
  147. Tue Mar 25 18:58:21 2025 5 relations: 689920
  148. Tue Mar 25 18:58:21 2025 6 relations: 674519
  149. Tue Mar 25 18:58:21 2025 7 relations: 668027
  150. Tue Mar 25 18:58:21 2025 8 relations: 630806
  151. Tue Mar 25 18:58:21 2025 9 relations: 598838
  152. Tue Mar 25 18:58:21 2025 10+ relations: 3399339
  153. Tue Mar 25 18:58:21 2025 heaviest cycle: 28 relations
  154. Tue Mar 25 18:58:30 2025 RelProcTime: 1286
  155. Tue Mar 25 18:58:31 2025 elapsed time 00:21:28
  156. Tue Mar 25 18:58:35 2025
  157. Tue Mar 25 18:58:35 2025
  158. Tue Mar 25 18:58:35 2025 Msieve v. 1.54 (SVN 03e8738)
  159. Tue Mar 25 18:58:35 2025 random seeds: 527aa32d ceaf82b1
  160. Tue Mar 25 18:58:35 2025 Using 16 OpenMP threads
  161. Tue Mar 25 18:58:35 2025 factoring 348058701532577476178597857828221695880917345395399206583563509784460130139509619985602441143411493851305170201147976418661948133817575144238839101582337600907218897 (165 digits)
  162. Tue Mar 25 18:58:36 2025 no P-1/P+1/ECM available, skipping
  163. Tue Mar 25 18:58:36 2025 commencing number field sieve (165-digit input)
  164. Tue Mar 25 18:58:36 2025 R0: -187249241078658196533139695112351
  165. Tue Mar 25 18:58:36 2025 R1: 114771584265448709
  166. Tue Mar 25 18:58:36 2025 A0: 195736894124712323507387342882413581895127112
  167. Tue Mar 25 18:58:36 2025 A1: 742244486125576059777105030154721726
  168. Tue Mar 25 18:58:36 2025 A2: -56941731127725129640148589043
  169. Tue Mar 25 18:58:36 2025 A3: 61584975620223059838
  170. Tue Mar 25 18:58:36 2025 A4: 2122156598420
  171. Tue Mar 25 18:58:36 2025 A5: 1512
  172. Tue Mar 25 18:58:36 2025 skew 177681216.14, size 3.126e-16, alpha -7.821, combined = 5.437e-13 rroots = 5
  173. Tue Mar 25 18:58:36 2025
  174. Tue Mar 25 18:58:36 2025 commencing linear algebra
  175. Tue Mar 25 18:58:36 2025 using VBITS=256
  176. Tue Mar 25 18:58:36 2025 read 9149922 cycles
  177. Tue Mar 25 18:58:48 2025 cycles contain 33222869 unique relations
  178. Tue Mar 25 18:59:02 2025 read 33222869 relations
  179. Tue Mar 25 18:59:06 2025 using 20 quadratic characters above 4294917295
  180. Tue Mar 25 18:59:10 2025 building initial matrix
  181. Tue Mar 25 19:02:47 2025 memory use: 4544.8 MB
  182. Tue Mar 25 19:02:49 2025 read 9149922 cycles
  183. Tue Mar 25 19:02:51 2025 matrix is 9149739 x 9149922 (4323.7 MB) with weight 1336620818 (146.08/col)
  184. Tue Mar 25 19:02:51 2025 sparse part has weight 1023638459 (111.87/col)
  185. Tue Mar 25 19:03:42 2025 filtering completed in 2 passes
  186. Tue Mar 25 19:03:43 2025 matrix is 9149087 x 9149268 (4323.6 MB) with weight 1336585325 (146.09/col)
  187. Tue Mar 25 19:03:43 2025 sparse part has weight 1023626997 (111.88/col)
  188. Tue Mar 25 19:03:59 2025 matrix starts at (0, 0)
  189. Tue Mar 25 19:04:00 2025 matrix is 9149087 x 9149268 (4323.6 MB) with weight 1336585325 (146.09/col)
  190. Tue Mar 25 19:04:00 2025 sparse part has weight 1023626997 (111.88/col)
  191. Tue Mar 25 19:04:00 2025 saving the first 240 matrix rows for later
  192. Tue Mar 25 19:04:01 2025 matrix includes 256 packed rows
  193. Tue Mar 25 19:04:03 2025 matrix is 9148847 x 9149268 (3888.0 MB) with weight 936521517 (102.36/col)
  194. Tue Mar 25 19:04:03 2025 sparse part has weight 872814758 (95.40/col)
  195. Tue Mar 25 19:04:04 2025 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  196. Tue Mar 25 19:04:04 2025 selected card has CUDA arch 8.6
  197. Tue Mar 25 19:04:37 2025 commencing Lanczos iteration
  198. Tue Mar 25 19:04:39 2025 memory use: 8962.6 MB
  199. Tue Mar 25 19:05:07 2025 linear algebra at 0.3%, ETA 2h18m
  200. Tue Mar 25 19:05:48 2025 checking every 60000 dimensions, checkpointing every 4020000 dimensions
  201. Tue Mar 25 21:23:59 2025 lanczos halted after 35846 iterations (dim = 9148844)
  202. Tue Mar 25 21:24:26 2025 recovered 29 nontrivial dependencies
  203. Tue Mar 25 21:24:27 2025 BLanczosTime: 8751
  204. Tue Mar 25 21:24:27 2025 elapsed time 02:25:52
  205. Wed Mar 26 11:11:47 2025
  206. Wed Mar 26 11:11:47 2025
  207. Wed Mar 26 11:11:47 2025 Msieve v. 1.54 (SVN 03e8738)
  208. Wed Mar 26 11:11:47 2025 random seeds: 3565db76 596ee9c0
  209. Wed Mar 26 11:11:47 2025 Using 16 OpenMP threads
  210. Wed Mar 26 11:11:47 2025 factoring 348058701532577476178597857828221695880917345395399206583563509784460130139509619985602441143411493851305170201147976418661948133817575144238839101582337600907218897 (165 digits)
  211. Wed Mar 26 11:11:47 2025 no P-1/P+1/ECM available, skipping
  212. Wed Mar 26 11:11:47 2025 commencing number field sieve (165-digit input)
  213. Wed Mar 26 11:11:47 2025 R0: -187249241078658196533139695112351
  214. Wed Mar 26 11:11:47 2025 R1: 114771584265448709
  215. Wed Mar 26 11:11:47 2025 A0: 195736894124712323507387342882413581895127112
  216. Wed Mar 26 11:11:47 2025 A1: 742244486125576059777105030154721726
  217. Wed Mar 26 11:11:47 2025 A2: -56941731127725129640148589043
  218. Wed Mar 26 11:11:47 2025 A3: 61584975620223059838
  219. Wed Mar 26 11:11:47 2025 A4: 2122156598420
  220. Wed Mar 26 11:11:47 2025 A5: 1512
  221. Wed Mar 26 11:11:47 2025 skew 177681216.14, size 3.126e-16, alpha -7.821, combined = 5.437e-13 rroots = 5
  222. Wed Mar 26 11:11:47 2025
  223. Wed Mar 26 11:11:47 2025 commencing square root phase
  224. Wed Mar 26 11:11:47 2025 reading relations for dependency 1
  225. Wed Mar 26 11:11:48 2025 read 4573309 cycles
  226. Wed Mar 26 11:11:57 2025 cycles contain 16607386 unique relations
  227. Wed Mar 26 11:12:19 2025 read 16607386 relations
  228. Wed Mar 26 11:13:13 2025 multiplying 16607386 relations
  229. Wed Mar 26 11:15:00 2025 multiply complete, coefficients have about 853.75 million bits
  230. Wed Mar 26 11:15:03 2025 initial square root is modulo 45644981
  231. Wed Mar 26 11:19:53 2025 GCD is N, no factor found
  232. Wed Mar 26 11:19:53 2025 reading relations for dependency 2
  233. Wed Mar 26 11:19:53 2025 read 4576284 cycles
  234. Wed Mar 26 11:20:01 2025 cycles contain 16613124 unique relations
  235. Wed Mar 26 11:20:32 2025 read 16613124 relations
  236. Wed Mar 26 11:21:35 2025 multiplying 16613124 relations
  237. Wed Mar 26 11:23:31 2025 multiply complete, coefficients have about 854.05 million bits
  238. Wed Mar 26 11:23:34 2025 initial square root is modulo 45930329
  239. Wed Mar 26 11:28:18 2025 sqrtTime: 991
  240. Wed Mar 26 11:28:18 2025 p69 factor: 142280702877367902207120807233217364146996610631349424076720094995759
  241. Wed Mar 26 11:28:18 2025 p97 factor: 2446281853362575469205426754967536751950383128473055648910747001934194926285879544312417743805183
  242. Wed Mar 26 11:28:18 2025 elapsed time 00:16:31
  243.  
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