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Jan 10th, 2025
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  1. Sun Jan 5 19:59:36 2025
  2. Sun Jan 5 19:59:36 2025
  3. Sun Jan 5 19:59:36 2025 Msieve v. 1.54 (SVN unknown)
  4. Sun Jan 5 19:59:36 2025 random seeds: d78f2507 09b4f54f
  5. Sun Jan 5 19:59:36 2025 factoring 54262402476373096841571988973870353362527555005379737814475043297843255207914925111435302108129018537791434214608379256878980944286171596804617300239097125801038671973732961432526982458387051356038905798290254629085234403726710829035156694631 (242 digits)
  6. Sun Jan 5 19:59:38 2025 no P-1/P+1/ECM available, skipping
  7. Sun Jan 5 19:59:38 2025 commencing number field sieve (242-digit input)
  8. Sun Jan 5 19:59:38 2025 R0: 11150372599265311570767859136324180752990208
  9. Sun Jan 5 19:59:38 2025 R1: -1
  10. Sun Jan 5 19:59:38 2025 A0: -1
  11. Sun Jan 5 19:59:38 2025 A1: 0
  12. Sun Jan 5 19:59:38 2025 A2: 0
  13. Sun Jan 5 19:59:38 2025 A3: 0
  14. Sun Jan 5 19:59:38 2025 A4: 0
  15. Sun Jan 5 19:59:38 2025 A5: 0
  16. Sun Jan 5 19:59:38 2025 A6: 5
  17. Sun Jan 5 19:59:38 2025 skew 0.99, size 8.741e-13, alpha 2.301, combined = 1.048e-13 rroots = 2
  18. Sun Jan 5 19:59:38 2025
  19. Sun Jan 5 19:59:38 2025 commencing relation filtering
  20. Sun Jan 5 19:59:38 2025 setting target matrix density to 102.0
  21. Sun Jan 5 19:59:38 2025 estimated available RAM is 128798.6 MB
  22. Sun Jan 5 19:59:38 2025 commencing duplicate removal, pass 1
  23. Sun Jan 5 20:52:08 2025 error -11 reading relation 217369039
  24. Sun Jan 5 21:12:38 2025 error -6 reading relation 302033152
  25. Sun Jan 5 21:14:11 2025 error -15 reading relation 308510631
  26. Sun Jan 5 21:14:24 2025 error -11 reading relation 309359105
  27. Sun Jan 5 21:14:24 2025 error -11 reading relation 309364711
  28. Sun Jan 5 21:15:05 2025 error -11 reading relation 312217356
  29. Sun Jan 5 21:20:36 2025 skipped 797 relations with b > 2^32
  30. Sun Jan 5 21:20:36 2025 skipped 2 relations with composite factors
  31. Sun Jan 5 21:20:36 2025 found 12415881 hash collisions in 335103881 relations
  32. Sun Jan 5 21:21:04 2025 added 1218700 free relations
  33. Sun Jan 5 21:21:04 2025 commencing duplicate removal, pass 2
  34. Sun Jan 5 21:23:19 2025 found 0 duplicates and 336322581 unique relations
  35. Sun Jan 5 21:23:19 2025 memory use: 1044.8 MB
  36. Sun Jan 5 21:23:19 2025 reading ideals above 720000
  37. Sun Jan 5 21:23:19 2025 commencing singleton removal, initial pass
  38. Sun Jan 5 22:54:55 2025 memory use: 6024.0 MB
  39. Sun Jan 5 22:54:56 2025 reading all ideals from disk
  40. Sun Jan 5 22:55:09 2025 memory use: 16427.9 MB
  41. Sun Jan 5 22:56:35 2025 keeping 316760327 ideals with weight <= 200, target excess is 1744430
  42. Sun Jan 5 22:58:12 2025 commencing in-memory singleton removal
  43. Sun Jan 5 23:00:14 2025 begin with 336322581 relations and 316760327 unique ideals
  44. Sun Jan 5 23:09:40 2025 reduce to 199213335 relations and 164583781 ideals in 16 passes
  45. Sun Jan 5 23:09:40 2025 max relations containing the same ideal: 153
  46. Sun Jan 5 23:13:13 2025 removing 13375281 relations and 11375281 ideals in 2000000 cliques
  47. Sun Jan 5 23:13:25 2025 commencing in-memory singleton removal
  48. Sun Jan 5 23:14:20 2025 begin with 185838054 relations and 164583781 unique ideals
  49. Sun Jan 5 23:17:42 2025 reduce to 185136962 relations and 152498013 ideals in 9 passes
  50. Sun Jan 5 23:17:42 2025 max relations containing the same ideal: 147
  51. Sun Jan 5 23:20:54 2025 removing 10097637 relations and 8097637 ideals in 2000000 cliques
  52. Sun Jan 5 23:21:05 2025 commencing in-memory singleton removal
  53. Sun Jan 5 23:21:54 2025 begin with 175039325 relations and 152498013 unique ideals
  54. Sun Jan 5 23:24:34 2025 reduce to 174587506 relations and 143943322 ideals in 8 passes
  55. Sun Jan 5 23:24:34 2025 max relations containing the same ideal: 144
  56. Sun Jan 5 23:27:29 2025 removing 9084575 relations and 7084575 ideals in 2000000 cliques
  57. Sun Jan 5 23:27:39 2025 commencing in-memory singleton removal
  58. Sun Jan 5 23:28:24 2025 begin with 165502931 relations and 143943322 unique ideals
  59. Sun Jan 5 23:30:32 2025 reduce to 165111779 relations and 136463227 ideals in 7 passes
  60. Sun Jan 5 23:30:32 2025 max relations containing the same ideal: 135
  61. Sun Jan 5 23:33:11 2025 removing 8541200 relations and 6541200 ideals in 2000000 cliques
  62. Sun Jan 5 23:33:19 2025 commencing in-memory singleton removal
  63. Sun Jan 5 23:34:02 2025 begin with 156570579 relations and 136463227 unique ideals
  64. Sun Jan 5 23:36:01 2025 reduce to 156203948 relations and 129551134 ideals in 7 passes
  65. Sun Jan 5 23:36:01 2025 max relations containing the same ideal: 132
  66. Sun Jan 5 23:38:29 2025 removing 8202569 relations and 6202569 ideals in 2000000 cliques
  67. Sun Jan 5 23:38:39 2025 commencing in-memory singleton removal
  68. Sun Jan 5 23:39:19 2025 begin with 148001379 relations and 129551134 unique ideals
  69. Sun Jan 5 23:41:25 2025 reduce to 147645763 relations and 122988743 ideals in 8 passes
  70. Sun Jan 5 23:41:25 2025 max relations containing the same ideal: 124
  71. Sun Jan 5 23:43:42 2025 removing 7964678 relations and 5964678 ideals in 2000000 cliques
  72. Sun Jan 5 23:43:51 2025 commencing in-memory singleton removal
  73. Sun Jan 5 23:44:28 2025 begin with 139681085 relations and 122988743 unique ideals
  74. Sun Jan 5 23:46:13 2025 reduce to 139328194 relations and 116666839 ideals in 7 passes
  75. Sun Jan 5 23:46:13 2025 max relations containing the same ideal: 120
  76. Sun Jan 5 23:48:19 2025 removing 7799627 relations and 5799627 ideals in 2000000 cliques
  77. Sun Jan 5 23:48:26 2025 commencing in-memory singleton removal
  78. Sun Jan 5 23:49:01 2025 begin with 131528567 relations and 116666839 unique ideals
  79. Sun Jan 5 23:50:40 2025 reduce to 131174769 relations and 110508999 ideals in 7 passes
  80. Sun Jan 5 23:50:40 2025 max relations containing the same ideal: 115
  81. Sun Jan 5 23:52:40 2025 removing 7685615 relations and 5685615 ideals in 2000000 cliques
  82. Sun Jan 5 23:52:47 2025 commencing in-memory singleton removal
  83. Sun Jan 5 23:53:20 2025 begin with 123489154 relations and 110508999 unique ideals
  84. Sun Jan 5 23:55:03 2025 reduce to 123125162 relations and 104454509 ideals in 8 passes
  85. Sun Jan 5 23:55:03 2025 max relations containing the same ideal: 112
  86. Sun Jan 5 23:56:52 2025 removing 7604180 relations and 5604180 ideals in 2000000 cliques
  87. Sun Jan 5 23:56:58 2025 commencing in-memory singleton removal
  88. Sun Jan 5 23:57:29 2025 begin with 115520982 relations and 104454509 unique ideals
  89. Sun Jan 5 23:58:54 2025 reduce to 115144824 relations and 98468555 ideals in 7 passes
  90. Sun Jan 5 23:58:54 2025 max relations containing the same ideal: 107
  91. Mon Jan 6 00:00:33 2025 removing 7560523 relations and 5560523 ideals in 2000000 cliques
  92. Mon Jan 6 00:00:41 2025 commencing in-memory singleton removal
  93. Mon Jan 6 00:01:09 2025 begin with 107584301 relations and 98468555 unique ideals
  94. Mon Jan 6 00:02:38 2025 reduce to 107190089 relations and 92507729 ideals in 8 passes
  95. Mon Jan 6 00:02:38 2025 max relations containing the same ideal: 102
  96. Mon Jan 6 00:04:10 2025 removing 7535013 relations and 5535013 ideals in 2000000 cliques
  97. Mon Jan 6 00:04:17 2025 commencing in-memory singleton removal
  98. Mon Jan 6 00:04:43 2025 begin with 99655076 relations and 92507729 unique ideals
  99. Mon Jan 6 00:05:56 2025 reduce to 99235295 relations and 86546049 ideals in 7 passes
  100. Mon Jan 6 00:05:56 2025 max relations containing the same ideal: 95
  101. Mon Jan 6 00:07:24 2025 removing 7536404 relations and 5536404 ideals in 2000000 cliques
  102. Mon Jan 6 00:07:30 2025 commencing in-memory singleton removal
  103. Mon Jan 6 00:07:54 2025 begin with 91698891 relations and 86546049 unique ideals
  104. Mon Jan 6 00:09:00 2025 reduce to 91248011 relations and 80550831 ideals in 7 passes
  105. Mon Jan 6 00:09:00 2025 max relations containing the same ideal: 91
  106. Mon Jan 6 00:10:19 2025 removing 7566327 relations and 5566327 ideals in 2000000 cliques
  107. Mon Jan 6 00:10:25 2025 commencing in-memory singleton removal
  108. Mon Jan 6 00:10:46 2025 begin with 83681684 relations and 80550831 unique ideals
  109. Mon Jan 6 00:11:46 2025 reduce to 83184714 relations and 74478204 ideals in 7 passes
  110. Mon Jan 6 00:11:46 2025 max relations containing the same ideal: 84
  111. Mon Jan 6 00:13:00 2025 removing 7622894 relations and 5622894 ideals in 2000000 cliques
  112. Mon Jan 6 00:13:05 2025 commencing in-memory singleton removal
  113. Mon Jan 6 00:13:24 2025 begin with 75561820 relations and 74478204 unique ideals
  114. Mon Jan 6 00:14:36 2025 reduce to 75007308 relations and 68289471 ideals in 9 passes
  115. Mon Jan 6 00:14:36 2025 max relations containing the same ideal: 83
  116. Mon Jan 6 00:15:43 2025 removing 7712317 relations and 5712317 ideals in 2000000 cliques
  117. Mon Jan 6 00:15:48 2025 commencing in-memory singleton removal
  118. Mon Jan 6 00:16:05 2025 begin with 67294991 relations and 68289471 unique ideals
  119. Mon Jan 6 00:17:00 2025 reduce to 66660665 relations and 61928598 ideals in 8 passes
  120. Mon Jan 6 00:17:00 2025 max relations containing the same ideal: 75
  121. Mon Jan 6 00:18:00 2025 removing 7841274 relations and 5841274 ideals in 2000000 cliques
  122. Mon Jan 6 00:18:04 2025 commencing in-memory singleton removal
  123. Mon Jan 6 00:18:20 2025 begin with 58819391 relations and 61928598 unique ideals
  124. Mon Jan 6 00:19:15 2025 reduce to 58070105 relations and 55319199 ideals in 9 passes
  125. Mon Jan 6 00:19:15 2025 max relations containing the same ideal: 67
  126. Mon Jan 6 00:20:06 2025 removing 3610983 relations and 2883616 ideals in 727367 cliques
  127. Mon Jan 6 00:20:10 2025 commencing in-memory singleton removal
  128. Mon Jan 6 00:20:23 2025 begin with 54459122 relations and 55319199 unique ideals
  129. Mon Jan 6 00:21:02 2025 reduce to 54291341 relations and 52266018 ideals in 7 passes
  130. Mon Jan 6 00:21:02 2025 max relations containing the same ideal: 64
  131. Mon Jan 6 00:22:01 2025 relations with 0 large ideals: 64062
  132. Mon Jan 6 00:22:01 2025 relations with 1 large ideals: 52652
  133. Mon Jan 6 00:22:01 2025 relations with 2 large ideals: 560942
  134. Mon Jan 6 00:22:01 2025 relations with 3 large ideals: 2974909
  135. Mon Jan 6 00:22:01 2025 relations with 4 large ideals: 8381650
  136. Mon Jan 6 00:22:01 2025 relations with 5 large ideals: 13868753
  137. Mon Jan 6 00:22:01 2025 relations with 6 large ideals: 14131248
  138. Mon Jan 6 00:22:01 2025 relations with 7+ large ideals: 14257125
  139. Mon Jan 6 00:22:01 2025 commencing 2-way merge
  140. Mon Jan 6 00:23:17 2025 reduce to 33353253 relation sets and 31327930 unique ideals
  141. Mon Jan 6 00:23:18 2025 commencing full merge
  142. Mon Jan 6 00:40:36 2025 memory use: 3928.9 MB
  143. Mon Jan 6 00:40:42 2025 found 15797183 cycles, need 15550130
  144. Mon Jan 6 00:40:50 2025 weight of 15550130 cycles is about 1586502812 (102.03/cycle)
  145. Mon Jan 6 00:40:50 2025 distribution of cycle lengths:
  146. Mon Jan 6 00:40:50 2025 1 relations: 1350286
  147. Mon Jan 6 00:40:50 2025 2 relations: 1272620
  148. Mon Jan 6 00:40:50 2025 3 relations: 1278841
  149. Mon Jan 6 00:40:50 2025 4 relations: 1257744
  150. Mon Jan 6 00:40:50 2025 5 relations: 1236104
  151. Mon Jan 6 00:40:50 2025 6 relations: 1187607
  152. Mon Jan 6 00:40:50 2025 7 relations: 1141367
  153. Mon Jan 6 00:40:50 2025 8 relations: 1069497
  154. Mon Jan 6 00:40:50 2025 9 relations: 979052
  155. Mon Jan 6 00:40:50 2025 10+ relations: 4777012
  156. Mon Jan 6 00:40:50 2025 heaviest cycle: 26 relations
  157. Mon Jan 6 00:41:00 2025 commencing cycle optimization
  158. Mon Jan 6 00:42:00 2025 start with 114984172 relations
  159. Mon Jan 6 00:48:45 2025 pruned 3997421 relations
  160. Mon Jan 6 00:48:46 2025 memory use: 3384.5 MB
  161. Mon Jan 6 00:48:47 2025 distribution of cycle lengths:
  162. Mon Jan 6 00:48:47 2025 1 relations: 1350286
  163. Mon Jan 6 00:48:47 2025 2 relations: 1300229
  164. Mon Jan 6 00:48:47 2025 3 relations: 1325216
  165. Mon Jan 6 00:48:47 2025 4 relations: 1300265
  166. Mon Jan 6 00:48:47 2025 5 relations: 1284543
  167. Mon Jan 6 00:48:47 2025 6 relations: 1232511
  168. Mon Jan 6 00:48:47 2025 7 relations: 1186432
  169. Mon Jan 6 00:48:47 2025 8 relations: 1104572
  170. Mon Jan 6 00:48:47 2025 9 relations: 1007789
  171. Mon Jan 6 00:48:47 2025 10+ relations: 4458287
  172. Mon Jan 6 00:48:47 2025 heaviest cycle: 25 relations
  173. Mon Jan 6 00:49:40 2025 RelProcTime: 17402
  174. Mon Jan 6 00:49:40 2025 elapsed time 04:50:04
  175. Mon Jan 6 08:24:11 2025
  176. Mon Jan 6 08:24:11 2025
  177. Mon Jan 6 08:24:11 2025 Msieve v. 1.54 (SVN unknown)
  178. Mon Jan 6 08:24:11 2025 random seeds: 50ad42fd eac1359d
  179. Mon Jan 6 08:24:11 2025 factoring 54262402476373096841571988973870353362527555005379737814475043297843255207914925111435302108129018537791434214608379256878980944286171596804617300239097125801038671973732961432526982458387051356038905798290254629085234403726710829035156694631 (242 digits)
  180. Mon Jan 6 08:24:13 2025 no P-1/P+1/ECM available, skipping
  181. Mon Jan 6 08:24:13 2025 commencing number field sieve (242-digit input)
  182. Mon Jan 6 08:24:13 2025 R0: 11150372599265311570767859136324180752990208
  183. Mon Jan 6 08:24:13 2025 R1: -1
  184. Mon Jan 6 08:24:13 2025 A0: -1
  185. Mon Jan 6 08:24:13 2025 A1: 0
  186. Mon Jan 6 08:24:13 2025 A2: 0
  187. Mon Jan 6 08:24:13 2025 A3: 0
  188. Mon Jan 6 08:24:13 2025 A4: 0
  189. Mon Jan 6 08:24:13 2025 A5: 0
  190. Mon Jan 6 08:24:13 2025 A6: 5
  191. Mon Jan 6 08:24:13 2025 skew 0.99, size 8.741e-13, alpha 2.301, combined = 1.048e-13 rroots = 2
  192. Mon Jan 6 08:24:13 2025
  193. Mon Jan 6 08:24:13 2025 commencing linear algebra
  194. Mon Jan 6 08:24:13 2025 using VBITS=128
  195. Mon Jan 6 08:24:16 2025 read 15550130 cycles
  196. Mon Jan 6 08:25:12 2025 cycles contain 53053610 unique relations
  197. Mon Jan 6 08:35:21 2025 read 53053610 relations
  198. Mon Jan 6 08:37:28 2025 using 20 quadratic characters above 4294917295
  199. Mon Jan 6 08:43:10 2025 building initial matrix
  200. Mon Jan 6 09:00:48 2025 memory use: 6530.3 MB
  201. Mon Jan 6 09:01:05 2025 read 15550130 cycles
  202. Mon Jan 6 09:01:08 2025 matrix is 15549947 x 15550130 (6327.5 MB) with weight 1802741344 (115.93/col)
  203. Mon Jan 6 09:01:08 2025 sparse part has weight 1503227055 (96.67/col)
  204. Mon Jan 6 09:06:58 2025 filtering completed in 2 passes
  205. Mon Jan 6 09:07:02 2025 matrix is 15546354 x 15546532 (6327.2 MB) with weight 1802617077 (115.95/col)
  206. Mon Jan 6 09:07:02 2025 sparse part has weight 1503171325 (96.69/col)
  207. Mon Jan 6 09:08:47 2025 matrix starts at (0, 0)
  208. Mon Jan 6 09:08:50 2025 matrix is 15546354 x 15546532 (6327.2 MB) with weight 1802617077 (115.95/col)
  209. Mon Jan 6 09:08:50 2025 sparse part has weight 1503171325 (96.69/col)
  210. Mon Jan 6 09:08:50 2025 saving the first 112 matrix rows for later
  211. Mon Jan 6 09:08:56 2025 matrix includes 128 packed rows
  212. Mon Jan 6 09:09:01 2025 matrix is 15546242 x 15546532 (5935.1 MB) with weight 1444104126 (92.89/col)
  213. Mon Jan 6 09:09:01 2025 sparse part has weight 1369283352 (88.08/col)
  214. Mon Jan 6 09:09:02 2025 using GPU 0 (Tesla P100-PCIE-16GB)
  215. Mon Jan 6 09:09:02 2025 selected card has CUDA arch 6.0
  216. Mon Jan 6 09:13:44 2025 commencing Lanczos iteration
  217. Mon Jan 6 09:13:46 2025 memory use: 12819.0 MB
  218. Mon Jan 6 09:17:58 2025 linear algebra at 0.2%, ETA 35h25m
  219. Mon Jan 6 09:18:32 2025 checking every 10000 dimensions, checkpointing every 490000 dimensions
  220. Tue Jan 7 03:47:31 2025 lanczos halted after 122188 iterations (dim = 15546242)
  221. Tue Jan 7 03:48:08 2025 recovered 37 nontrivial dependencies
  222. Tue Jan 7 03:48:09 2025 BLanczosTime: 69836
  223. Tue Jan 7 03:48:09 2025
  224. Tue Jan 7 03:48:09 2025 commencing square root phase
  225. Tue Jan 7 03:48:09 2025 handling dependencies 1 to 64
  226. Tue Jan 7 03:48:09 2025 reading relations for dependency 1
  227. Tue Jan 7 03:48:21 2025 read 7772786 cycles
  228. Tue Jan 7 03:48:47 2025 cycles contain 26530760 unique relations
  229. Tue Jan 7 03:55:15 2025 read 26530760 relations
  230. Tue Jan 7 03:59:01 2025 multiplying 26530760 relations
  231. Tue Jan 7 04:38:14 2025 multiply complete, coefficients have about 741.00 million bits
  232. Tue Jan 7 04:38:19 2025 initial square root is modulo 4445047
  233. Tue Jan 7 05:13:44 2025 sqrtTime: 5135
  234. Tue Jan 7 05:13:44 2025 p71 factor: 11018395408010020462569526981479807791371585566842404913570798744096551
  235. Tue Jan 7 05:13:44 2025 p172 factor: 4924710038716351444352091997679935422207303529588580631647584051844996112857879585218738479439527994939220650302731385897384716401741565694783334267154149612844044835174081
  236. Tue Jan 7 05:13:44 2025 elapsed time 20:49:33
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