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Dec 24th, 2024
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  1. Fri Dec 20 16:34:14 2024
  2. Fri Dec 20 16:34:14 2024
  3. Fri Dec 20 16:34:14 2024 Msieve v. 1.54 (SVN unknown)
  4. Fri Dec 20 16:34:14 2024 random seeds: 0dfa5ab2 b6735cff
  5. Fri Dec 20 16:34:14 2024 factoring 34673653406215263304264564039301853392783678074134442836055699109476564939213932118212832998905495172525584905298597773714454935115525727076982545323845507466976050900806644383450507935486679812855088167162579947 (212 digits)
  6. Fri Dec 20 16:34:15 2024 no P-1/P+1/ECM available, skipping
  7. Fri Dec 20 16:34:15 2024 commencing number field sieve (212-digit input)
  8. Fri Dec 20 16:34:15 2024 R0: 5575186299632655785383929568162090376495104
  9. Fri Dec 20 16:34:15 2024 R1: -1
  10. Fri Dec 20 16:34:15 2024 A0: -1
  11. Fri Dec 20 16:34:15 2024 A1: 0
  12. Fri Dec 20 16:34:15 2024 A2: 0
  13. Fri Dec 20 16:34:15 2024 A3: 0
  14. Fri Dec 20 16:34:15 2024 A4: 0
  15. Fri Dec 20 16:34:15 2024 A5: 0
  16. Fri Dec 20 16:34:15 2024 A6: 10
  17. Fri Dec 20 16:34:15 2024 skew 0.88, size 1.308e-12, alpha 1.180, combined = 1.401e-13 rroots = 2
  18. Fri Dec 20 16:34:15 2024
  19. Fri Dec 20 16:34:15 2024 commencing relation filtering
  20. Fri Dec 20 16:34:15 2024 setting target matrix density to 96.0
  21. Fri Dec 20 16:34:15 2024 estimated available RAM is 128798.6 MB
  22. Fri Dec 20 16:34:15 2024 commencing duplicate removal, pass 1
  23. Fri Dec 20 17:57:48 2024 error -15 reading relation 331350834
  24. Fri Dec 20 17:57:48 2024 error -15 reading relation 331351035
  25. Fri Dec 20 17:59:48 2024 skipped 722 relations with b > 2^32
  26. Fri Dec 20 17:59:48 2024 skipped 6 relations with composite factors
  27. Fri Dec 20 17:59:48 2024 skipped 3 malformed relations
  28. Fri Dec 20 17:59:48 2024 found 12718398 hash collisions in 339279865 relations
  29. Fri Dec 20 18:00:16 2024 added 1218323 free relations
  30. Fri Dec 20 18:00:16 2024 commencing duplicate removal, pass 2
  31. Fri Dec 20 18:04:26 2024 found 0 duplicates and 340498188 unique relations
  32. Fri Dec 20 18:04:26 2024 memory use: 1044.8 MB
  33. Fri Dec 20 18:04:26 2024 reading ideals above 720000
  34. Fri Dec 20 18:04:26 2024 commencing singleton removal, initial pass
  35. Fri Dec 20 19:42:27 2024 memory use: 6024.0 MB
  36. Fri Dec 20 19:42:28 2024 reading all ideals from disk
  37. Fri Dec 20 19:43:46 2024 memory use: 16488.5 MB
  38. Fri Dec 20 19:44:55 2024 keeping 315581191 ideals with weight <= 200, target excess is 1781952
  39. Fri Dec 20 19:46:13 2024 commencing in-memory singleton removal
  40. Fri Dec 20 19:47:55 2024 begin with 340498188 relations and 315581191 unique ideals
  41. Fri Dec 20 19:55:43 2024 reduce to 204347978 relations and 164610918 ideals in 16 passes
  42. Fri Dec 20 19:55:43 2024 max relations containing the same ideal: 153
  43. Fri Dec 20 19:58:47 2024 removing 12848656 relations and 10848656 ideals in 2000000 cliques
  44. Fri Dec 20 19:58:56 2024 commencing in-memory singleton removal
  45. Fri Dec 20 19:59:51 2024 begin with 191499322 relations and 164610918 unique ideals
  46. Fri Dec 20 20:02:37 2024 reduce to 190885838 relations and 153140829 ideals in 8 passes
  47. Fri Dec 20 20:02:37 2024 max relations containing the same ideal: 145
  48. Fri Dec 20 20:05:27 2024 removing 9697097 relations and 7697097 ideals in 2000000 cliques
  49. Fri Dec 20 20:05:36 2024 commencing in-memory singleton removal
  50. Fri Dec 20 20:06:27 2024 begin with 181188741 relations and 153140829 unique ideals
  51. Fri Dec 20 20:09:30 2024 reduce to 180790578 relations and 145041114 ideals in 8 passes
  52. Fri Dec 20 20:09:30 2024 max relations containing the same ideal: 141
  53. Fri Dec 20 20:12:16 2024 removing 8721415 relations and 6721415 ideals in 2000000 cliques
  54. Fri Dec 20 20:12:26 2024 commencing in-memory singleton removal
  55. Fri Dec 20 20:13:14 2024 begin with 172069163 relations and 145041114 unique ideals
  56. Fri Dec 20 20:15:27 2024 reduce to 171726242 relations and 137972913 ideals in 7 passes
  57. Fri Dec 20 20:15:27 2024 max relations containing the same ideal: 136
  58. Fri Dec 20 20:17:57 2024 removing 8190182 relations and 6190182 ideals in 2000000 cliques
  59. Fri Dec 20 20:18:06 2024 commencing in-memory singleton removal
  60. Fri Dec 20 20:18:52 2024 begin with 163536060 relations and 137972913 unique ideals
  61. Fri Dec 20 20:21:50 2024 reduce to 163216117 relations and 131459218 ideals in 10 passes
  62. Fri Dec 20 20:21:50 2024 max relations containing the same ideal: 132
  63. Fri Dec 20 20:24:35 2024 removing 7854711 relations and 5854711 ideals in 2000000 cliques
  64. Fri Dec 20 20:24:47 2024 commencing in-memory singleton removal
  65. Fri Dec 20 20:25:39 2024 begin with 155361406 relations and 131459218 unique ideals
  66. Fri Dec 20 20:28:15 2024 reduce to 155053998 relations and 125293635 ideals in 7 passes
  67. Fri Dec 20 20:28:15 2024 max relations containing the same ideal: 127
  68. Fri Dec 20 20:30:49 2024 removing 7621068 relations and 5621068 ideals in 2000000 cliques
  69. Fri Dec 20 20:30:57 2024 commencing in-memory singleton removal
  70. Fri Dec 20 20:31:36 2024 begin with 147432930 relations and 125293635 unique ideals
  71. Fri Dec 20 20:33:27 2024 reduce to 147131490 relations and 119367535 ideals in 7 passes
  72. Fri Dec 20 20:33:27 2024 max relations containing the same ideal: 126
  73. Fri Dec 20 20:35:39 2024 removing 7450074 relations and 5450074 ideals in 2000000 cliques
  74. Fri Dec 20 20:35:46 2024 commencing in-memory singleton removal
  75. Fri Dec 20 20:36:25 2024 begin with 139681416 relations and 119367535 unique ideals
  76. Fri Dec 20 20:38:10 2024 reduce to 139380182 relations and 113612605 ideals in 7 passes
  77. Fri Dec 20 20:38:10 2024 max relations containing the same ideal: 121
  78. Fri Dec 20 20:40:11 2024 removing 7323707 relations and 5323707 ideals in 2000000 cliques
  79. Fri Dec 20 20:40:18 2024 commencing in-memory singleton removal
  80. Fri Dec 20 20:40:54 2024 begin with 132056475 relations and 113612605 unique ideals
  81. Fri Dec 20 20:42:34 2024 reduce to 131751739 relations and 107980238 ideals in 7 passes
  82. Fri Dec 20 20:42:34 2024 max relations containing the same ideal: 116
  83. Fri Dec 20 20:44:31 2024 removing 7231946 relations and 5231946 ideals in 2000000 cliques
  84. Fri Dec 20 20:44:38 2024 commencing in-memory singleton removal
  85. Fri Dec 20 20:45:10 2024 begin with 124519793 relations and 107980238 unique ideals
  86. Fri Dec 20 20:46:43 2024 reduce to 124207889 relations and 102432125 ideals in 7 passes
  87. Fri Dec 20 20:46:43 2024 max relations containing the same ideal: 110
  88. Fri Dec 20 20:48:34 2024 removing 7170923 relations and 5170923 ideals in 2000000 cliques
  89. Fri Dec 20 20:48:40 2024 commencing in-memory singleton removal
  90. Fri Dec 20 20:49:10 2024 begin with 117036966 relations and 102432125 unique ideals
  91. Fri Dec 20 20:50:39 2024 reduce to 116714082 relations and 96933588 ideals in 7 passes
  92. Fri Dec 20 20:50:39 2024 max relations containing the same ideal: 105
  93. Fri Dec 20 20:52:20 2024 removing 7128384 relations and 5128384 ideals in 2000000 cliques
  94. Fri Dec 20 20:52:26 2024 commencing in-memory singleton removal
  95. Fri Dec 20 20:52:55 2024 begin with 109585698 relations and 96933588 unique ideals
  96. Fri Dec 20 20:54:16 2024 reduce to 109250359 relations and 91464678 ideals in 7 passes
  97. Fri Dec 20 20:54:16 2024 max relations containing the same ideal: 100
  98. Fri Dec 20 20:55:52 2024 removing 7098810 relations and 5098810 ideals in 2000000 cliques
  99. Fri Dec 20 20:55:59 2024 commencing in-memory singleton removal
  100. Fri Dec 20 20:56:26 2024 begin with 102151549 relations and 91464678 unique ideals
  101. Fri Dec 20 20:57:33 2024 reduce to 101798146 relations and 86006704 ideals in 6 passes
  102. Fri Dec 20 20:57:33 2024 max relations containing the same ideal: 94
  103. Fri Dec 20 20:59:03 2024 removing 7096391 relations and 5096391 ideals in 2000000 cliques
  104. Fri Dec 20 20:59:09 2024 commencing in-memory singleton removal
  105. Fri Dec 20 20:59:33 2024 begin with 94701755 relations and 86006704 unique ideals
  106. Fri Dec 20 21:00:43 2024 reduce to 94324135 relations and 80526224 ideals in 7 passes
  107. Fri Dec 20 21:00:43 2024 max relations containing the same ideal: 92
  108. Fri Dec 20 21:02:07 2024 removing 7111453 relations and 5111453 ideals in 2000000 cliques
  109. Fri Dec 20 21:02:13 2024 commencing in-memory singleton removal
  110. Fri Dec 20 21:02:35 2024 begin with 87212682 relations and 80526224 unique ideals
  111. Fri Dec 20 21:03:40 2024 reduce to 86803228 relations and 74997676 ideals in 7 passes
  112. Fri Dec 20 21:03:40 2024 max relations containing the same ideal: 85
  113. Fri Dec 20 21:04:57 2024 removing 7149938 relations and 5149938 ideals in 2000000 cliques
  114. Fri Dec 20 21:05:02 2024 commencing in-memory singleton removal
  115. Fri Dec 20 21:05:23 2024 begin with 79653290 relations and 74997676 unique ideals
  116. Fri Dec 20 21:06:30 2024 reduce to 79203335 relations and 69388894 ideals in 8 passes
  117. Fri Dec 20 21:06:30 2024 max relations containing the same ideal: 81
  118. Fri Dec 20 21:07:40 2024 removing 7214013 relations and 5214013 ideals in 2000000 cliques
  119. Fri Dec 20 21:07:45 2024 commencing in-memory singleton removal
  120. Fri Dec 20 21:08:03 2024 begin with 71989322 relations and 69388894 unique ideals
  121. Fri Dec 20 21:09:04 2024 reduce to 71484536 relations and 63659297 ideals in 8 passes
  122. Fri Dec 20 21:09:04 2024 max relations containing the same ideal: 76
  123. Fri Dec 20 21:10:09 2024 removing 7302110 relations and 5302110 ideals in 2000000 cliques
  124. Fri Dec 20 21:10:15 2024 commencing in-memory singleton removal
  125. Fri Dec 20 21:10:31 2024 begin with 64182426 relations and 63659297 unique ideals
  126. Fri Dec 20 21:11:16 2024 reduce to 63602054 relations and 57762918 ideals in 7 passes
  127. Fri Dec 20 21:11:16 2024 max relations containing the same ideal: 69
  128. Fri Dec 20 21:12:11 2024 removing 7433115 relations and 5433115 ideals in 2000000 cliques
  129. Fri Dec 20 21:12:16 2024 commencing in-memory singleton removal
  130. Fri Dec 20 21:12:30 2024 begin with 56168939 relations and 57762918 unique ideals
  131. Fri Dec 20 21:13:27 2024 reduce to 55481120 relations and 51623928 ideals in 10 passes
  132. Fri Dec 20 21:13:27 2024 max relations containing the same ideal: 64
  133. Fri Dec 20 21:14:15 2024 removing 6967191 relations and 5177064 ideals in 1790127 cliques
  134. Fri Dec 20 21:14:18 2024 commencing in-memory singleton removal
  135. Fri Dec 20 21:14:31 2024 begin with 48513929 relations and 51623928 unique ideals
  136. Fri Dec 20 21:15:14 2024 reduce to 47807123 relations and 45720287 ideals in 9 passes
  137. Fri Dec 20 21:15:14 2024 max relations containing the same ideal: 58
  138. Fri Dec 20 21:15:55 2024 removing 168428 relations and 148657 ideals in 19771 cliques
  139. Fri Dec 20 21:15:58 2024 commencing in-memory singleton removal
  140. Fri Dec 20 21:16:09 2024 begin with 47638695 relations and 45720287 unique ideals
  141. Fri Dec 20 21:16:33 2024 reduce to 47638295 relations and 45571230 ideals in 5 passes
  142. Fri Dec 20 21:16:33 2024 max relations containing the same ideal: 58
  143. Fri Dec 20 21:16:47 2024 relations with 0 large ideals: 65908
  144. Fri Dec 20 21:16:47 2024 relations with 1 large ideals: 67735
  145. Fri Dec 20 21:16:47 2024 relations with 2 large ideals: 677121
  146. Fri Dec 20 21:16:47 2024 relations with 3 large ideals: 3260471
  147. Fri Dec 20 21:16:47 2024 relations with 4 large ideals: 8410257
  148. Fri Dec 20 21:16:47 2024 relations with 5 large ideals: 12744421
  149. Fri Dec 20 21:16:47 2024 relations with 6 large ideals: 11865152
  150. Fri Dec 20 21:16:47 2024 relations with 7+ large ideals: 10547230
  151. Fri Dec 20 21:16:47 2024 commencing 2-way merge
  152. Fri Dec 20 21:17:44 2024 reduce to 29102809 relation sets and 27035744 unique ideals
  153. Fri Dec 20 21:17:44 2024 commencing full merge
  154. Fri Dec 20 21:30:30 2024 memory use: 3311.8 MB
  155. Fri Dec 20 21:30:34 2024 found 13934356 cycles, need 13675944
  156. Fri Dec 20 21:30:41 2024 weight of 13675944 cycles is about 1312974521 (96.01/cycle)
  157. Fri Dec 20 21:30:41 2024 distribution of cycle lengths:
  158. Fri Dec 20 21:30:41 2024 1 relations: 1273411
  159. Fri Dec 20 21:30:41 2024 2 relations: 1143215
  160. Fri Dec 20 21:30:41 2024 3 relations: 1149195
  161. Fri Dec 20 21:30:41 2024 4 relations: 1139283
  162. Fri Dec 20 21:30:41 2024 5 relations: 1137570
  163. Fri Dec 20 21:30:41 2024 6 relations: 1089247
  164. Fri Dec 20 21:30:41 2024 7 relations: 1048323
  165. Fri Dec 20 21:30:41 2024 8 relations: 965531
  166. Fri Dec 20 21:30:41 2024 9 relations: 871338
  167. Fri Dec 20 21:30:41 2024 10+ relations: 3858831
  168. Fri Dec 20 21:30:41 2024 heaviest cycle: 24 relations
  169. Fri Dec 20 21:30:48 2024 commencing cycle optimization
  170. Fri Dec 20 21:31:32 2024 start with 97104797 relations
  171. Fri Dec 20 21:35:51 2024 pruned 3270094 relations
  172. Fri Dec 20 21:35:52 2024 memory use: 2918.0 MB
  173. Fri Dec 20 21:35:53 2024 distribution of cycle lengths:
  174. Fri Dec 20 21:35:53 2024 1 relations: 1273411
  175. Fri Dec 20 21:35:53 2024 2 relations: 1168038
  176. Fri Dec 20 21:35:53 2024 3 relations: 1190298
  177. Fri Dec 20 21:35:53 2024 4 relations: 1178376
  178. Fri Dec 20 21:35:53 2024 5 relations: 1183013
  179. Fri Dec 20 21:35:53 2024 6 relations: 1129651
  180. Fri Dec 20 21:35:53 2024 7 relations: 1088061
  181. Fri Dec 20 21:35:53 2024 8 relations: 995185
  182. Fri Dec 20 21:35:53 2024 9 relations: 893855
  183. Fri Dec 20 21:35:53 2024 10+ relations: 3576056
  184. Fri Dec 20 21:35:53 2024 heaviest cycle: 24 relations
  185. Fri Dec 20 21:36:32 2024 RelProcTime: 18137
  186. Fri Dec 20 21:36:32 2024 elapsed time 05:02:18
  187. Fri Dec 20 22:08:10 2024
  188. Fri Dec 20 22:08:10 2024
  189. Fri Dec 20 22:08:10 2024 Msieve v. 1.54 (SVN unknown)
  190. Fri Dec 20 22:08:10 2024 random seeds: 27998253 07816adc
  191. Fri Dec 20 22:08:10 2024 factoring 34673653406215263304264564039301853392783678074134442836055699109476564939213932118212832998905495172525584905298597773714454935115525727076982545323845507466976050900806644383450507935486679812855088167162579947 (212 digits)
  192. Fri Dec 20 22:08:11 2024 no P-1/P+1/ECM available, skipping
  193. Fri Dec 20 22:08:11 2024 commencing number field sieve (212-digit input)
  194. Fri Dec 20 22:08:12 2024 R0: 5575186299632655785383929568162090376495104
  195. Fri Dec 20 22:08:12 2024 R1: -1
  196. Fri Dec 20 22:08:12 2024 A0: -1
  197. Fri Dec 20 22:08:12 2024 A1: 0
  198. Fri Dec 20 22:08:12 2024 A2: 0
  199. Fri Dec 20 22:08:12 2024 A3: 0
  200. Fri Dec 20 22:08:12 2024 A4: 0
  201. Fri Dec 20 22:08:12 2024 A5: 0
  202. Fri Dec 20 22:08:12 2024 A6: 10
  203. Fri Dec 20 22:08:12 2024 skew 0.88, size 1.308e-12, alpha 1.180, combined = 1.401e-13 rroots = 2
  204. Fri Dec 20 22:08:12 2024
  205. Fri Dec 20 22:08:12 2024 commencing linear algebra
  206. Fri Dec 20 22:08:12 2024 using VBITS=128
  207. Fri Dec 20 22:08:14 2024 read 13675944 cycles
  208. Fri Dec 20 22:08:57 2024 cycles contain 46309112 unique relations
  209. Fri Dec 20 22:19:26 2024 read 46309112 relations
  210. Fri Dec 20 22:21:09 2024 using 20 quadratic characters above 4294917295
  211. Fri Dec 20 22:26:07 2024 building initial matrix
  212. Fri Dec 20 22:40:34 2024 memory use: 5814.9 MB
  213. Fri Dec 20 22:40:49 2024 read 13675944 cycles
  214. Fri Dec 20 22:40:52 2024 matrix is 13675756 x 13675944 (5334.4 MB) with weight 1540422992 (112.64/col)
  215. Fri Dec 20 22:40:52 2024 sparse part has weight 1247952017 (91.25/col)
  216. Fri Dec 20 22:45:07 2024 filtering completed in 2 passes
  217. Fri Dec 20 22:45:11 2024 matrix is 13671031 x 13671217 (5333.9 MB) with weight 1540243805 (112.66/col)
  218. Fri Dec 20 22:45:11 2024 sparse part has weight 1247872294 (91.28/col)
  219. Fri Dec 20 22:46:29 2024 matrix starts at (0, 0)
  220. Fri Dec 20 22:46:32 2024 matrix is 13671031 x 13671217 (5333.9 MB) with weight 1540243805 (112.66/col)
  221. Fri Dec 20 22:46:32 2024 sparse part has weight 1247872294 (91.28/col)
  222. Fri Dec 20 22:46:32 2024 saving the first 112 matrix rows for later
  223. Fri Dec 20 22:46:36 2024 matrix includes 128 packed rows
  224. Fri Dec 20 22:46:41 2024 matrix is 13670919 x 13671217 (5014.5 MB) with weight 1209313175 (88.46/col)
  225. Fri Dec 20 22:46:41 2024 sparse part has weight 1150465871 (84.15/col)
  226. Fri Dec 20 22:46:41 2024 using GPU 0 (Tesla P100-PCIE-16GB)
  227. Fri Dec 20 22:46:41 2024 selected card has CUDA arch 6.0
  228. Fri Dec 20 22:50:32 2024 commencing Lanczos iteration
  229. Fri Dec 20 22:50:34 2024 memory use: 10654.8 MB
  230. Fri Dec 20 22:52:23 2024 linear algebra at 0.2%, ETA 13h31m
  231. Fri Dec 20 22:52:52 2024 checking every 10000 dimensions, checkpointing every 1010000 dimensions
  232. Sat Dec 21 12:24:53 2024 lanczos halted after 107445 iterations (dim = 13670919)
  233. Sat Dec 21 12:25:23 2024 recovered 35 nontrivial dependencies
  234. Sat Dec 21 12:25:24 2024 BLanczosTime: 51432
  235. Sat Dec 21 12:25:24 2024
  236. Sat Dec 21 12:25:24 2024 commencing square root phase
  237. Sat Dec 21 12:25:24 2024 handling dependencies 1 to 64
  238. Sat Dec 21 12:25:24 2024 reading relations for dependency 1
  239. Sat Dec 21 12:25:29 2024 read 6839000 cycles
  240. Sat Dec 21 12:25:53 2024 cycles contain 23160026 unique relations
  241. Sat Dec 21 12:32:03 2024 read 23160026 relations
  242. Sat Dec 21 12:35:14 2024 multiplying 23160026 relations
  243. Sat Dec 21 13:13:05 2024 multiply complete, coefficients have about 664.35 million bits
  244. Sat Dec 21 13:13:09 2024 initial square root is modulo 912727
  245. Sat Dec 21 13:43:17 2024 GCD is 1, no factor found
  246. Sat Dec 21 13:43:17 2024 reading relations for dependency 2
  247. Sat Dec 21 13:43:27 2024 read 6837611 cycles
  248. Sat Dec 21 13:43:49 2024 cycles contain 23158548 unique relations
  249. Sat Dec 21 13:49:50 2024 read 23158548 relations
  250. Sat Dec 21 13:53:16 2024 multiplying 23158548 relations
  251. Sat Dec 21 14:28:40 2024 multiply complete, coefficients have about 664.31 million bits
  252. Sat Dec 21 14:28:44 2024 initial square root is modulo 911749
  253. Sat Dec 21 14:58:50 2024 sqrtTime: 9206
  254. Sat Dec 21 14:58:50 2024 p75 factor: 221595184623038934786401714800861335835614738499314395074986044476217409329
  255. Sat Dec 21 14:58:50 2024 p138 factor: 156472955245843790292002648757759042106947586463048125381262889160405438122793214121280978750361351395920107147191312069963158012116897243
  256. Sat Dec 21 14:58:50 2024 elapsed time 16:50:40
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