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Mar 10th, 2025
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  1. Mon Mar 10 09:36:15 2025
  2. Mon Mar 10 09:36:15 2025
  3. Mon Mar 10 09:36:15 2025 Msieve v. 1.54 (SVN unknown)
  4. Mon Mar 10 09:36:15 2025 random seeds: 8f850552 df08d9dd
  5. Mon Mar 10 09:36:15 2025 factoring 5617387853305219335792155232783656396227659196557838469776232006050574250601079126149910801324710944072860623540937112224254876930333750642743444720526784088956722028071018818840240206427216486604809058214799588658926481 (220 digits)
  6. Mon Mar 10 09:36:16 2025 no P-1/P+1/ECM available, skipping
  7. Mon Mar 10 09:36:16 2025 commencing number field sieve (220-digit input)
  8. Mon Mar 10 09:36:16 2025 R0: -1
  9. Mon Mar 10 09:36:16 2025 R1: 385291524718027043939593315643791608343
  10. Mon Mar 10 09:36:16 2025 A0: -52138423
  11. Mon Mar 10 09:36:16 2025 A1: 0
  12. Mon Mar 10 09:36:16 2025 A2: 0
  13. Mon Mar 10 09:36:16 2025 A3: 0
  14. Mon Mar 10 09:36:16 2025 A4: 0
  15. Mon Mar 10 09:36:16 2025 A5: 0
  16. Mon Mar 10 09:36:16 2025 A6: 1
  17. Mon Mar 10 09:36:16 2025 skew 15.11, size 4.130e-12, alpha -2.287, combined = 3.449e-13 rroots = 2
  18. Mon Mar 10 09:36:16 2025
  19. Mon Mar 10 09:36:16 2025 commencing relation filtering
  20. Mon Mar 10 09:36:16 2025 setting target matrix density to 120.0
  21. Mon Mar 10 09:36:16 2025 estimated available RAM is 15954.4 MB
  22. Mon Mar 10 09:36:16 2025 commencing duplicate removal, pass 1
  23. Mon Mar 10 09:41:29 2025 error -5 reading relation 53943518
  24. Mon Mar 10 09:54:54 2025 skipped 1 relations with b > 2^32
  25. Mon Mar 10 09:54:54 2025 skipped 1 relations with composite factors
  26. Mon Mar 10 09:54:54 2025 found 8166071 hash collisions in 192861224 relations
  27. Mon Mar 10 09:55:08 2025 added 1218261 free relations
  28. Mon Mar 10 09:55:08 2025 commencing duplicate removal, pass 2
  29. Mon Mar 10 09:56:08 2025 found 0 duplicates and 194079485 unique relations
  30. Mon Mar 10 09:56:08 2025 memory use: 522.4 MB
  31. Mon Mar 10 09:56:08 2025 reading ideals above 139919360
  32. Mon Mar 10 09:56:08 2025 commencing singleton removal, initial pass
  33. Mon Mar 10 10:09:42 2025 memory use: 3012.0 MB
  34. Mon Mar 10 10:09:42 2025 reading all ideals from disk
  35. Mon Mar 10 10:09:50 2025 memory use: 3387.2 MB
  36. Mon Mar 10 10:09:57 2025 commencing in-memory singleton removal
  37. Mon Mar 10 10:10:04 2025 begin with 194079485 relations and 159560399 unique ideals
  38. Mon Mar 10 10:11:11 2025 reduce to 128420390 relations and 87561570 ideals in 13 passes
  39. Mon Mar 10 10:11:11 2025 max relations containing the same ideal: 38
  40. Mon Mar 10 10:11:17 2025 reading ideals above 720000
  41. Mon Mar 10 10:11:17 2025 commencing singleton removal, initial pass
  42. Mon Mar 10 10:23:32 2025 memory use: 2756.0 MB
  43. Mon Mar 10 10:23:32 2025 reading all ideals from disk
  44. Mon Mar 10 10:23:46 2025 memory use: 5010.4 MB
  45. Mon Mar 10 10:23:58 2025 keeping 102734230 ideals with weight <= 200, target excess is 639895
  46. Mon Mar 10 10:24:12 2025 commencing in-memory singleton removal
  47. Mon Mar 10 10:24:22 2025 begin with 128420390 relations and 102734230 unique ideals
  48. Mon Mar 10 10:25:18 2025 reduce to 128419443 relations and 102733283 ideals in 6 passes
  49. Mon Mar 10 10:25:18 2025 max relations containing the same ideal: 200
  50. Mon Mar 10 10:26:08 2025 removing 10601756 relations and 8601756 ideals in 2000000 cliques
  51. Mon Mar 10 10:26:12 2025 commencing in-memory singleton removal
  52. Mon Mar 10 10:26:21 2025 begin with 117817687 relations and 102733283 unique ideals
  53. Mon Mar 10 10:27:30 2025 reduce to 117122060 relations and 93421857 ideals in 8 passes
  54. Mon Mar 10 10:27:30 2025 max relations containing the same ideal: 197
  55. Mon Mar 10 10:28:15 2025 removing 8131386 relations and 6131386 ideals in 2000000 cliques
  56. Mon Mar 10 10:28:18 2025 commencing in-memory singleton removal
  57. Mon Mar 10 10:28:25 2025 begin with 108990674 relations and 93421857 unique ideals
  58. Mon Mar 10 10:29:24 2025 reduce to 108524508 relations and 86816078 ideals in 9 passes
  59. Mon Mar 10 10:29:24 2025 max relations containing the same ideal: 189
  60. Mon Mar 10 10:30:02 2025 removing 7404756 relations and 5404756 ideals in 2000000 cliques
  61. Mon Mar 10 10:30:05 2025 commencing in-memory singleton removal
  62. Mon Mar 10 10:30:11 2025 begin with 101119752 relations and 86816078 unique ideals
  63. Mon Mar 10 10:30:58 2025 reduce to 100707798 relations and 80992141 ideals in 8 passes
  64. Mon Mar 10 10:30:58 2025 max relations containing the same ideal: 180
  65. Mon Mar 10 10:31:33 2025 removing 7042980 relations and 5042980 ideals in 2000000 cliques
  66. Mon Mar 10 10:31:36 2025 commencing in-memory singleton removal
  67. Mon Mar 10 10:31:42 2025 begin with 93664818 relations and 80992141 unique ideals
  68. Mon Mar 10 10:32:18 2025 reduce to 93274958 relations and 75552106 ideals in 7 passes
  69. Mon Mar 10 10:32:18 2025 max relations containing the same ideal: 174
  70. Mon Mar 10 10:32:50 2025 removing 6816465 relations and 4816465 ideals in 2000000 cliques
  71. Mon Mar 10 10:32:53 2025 commencing in-memory singleton removal
  72. Mon Mar 10 10:32:58 2025 begin with 86458493 relations and 75552106 unique ideals
  73. Mon Mar 10 10:33:31 2025 reduce to 86074252 relations and 70343858 ideals in 7 passes
  74. Mon Mar 10 10:33:31 2025 max relations containing the same ideal: 165
  75. Mon Mar 10 10:34:00 2025 removing 6671266 relations and 4671266 ideals in 2000000 cliques
  76. Mon Mar 10 10:34:03 2025 commencing in-memory singleton removal
  77. Mon Mar 10 10:34:07 2025 begin with 79402986 relations and 70343858 unique ideals
  78. Mon Mar 10 10:34:38 2025 reduce to 79012286 relations and 65273868 ideals in 7 passes
  79. Mon Mar 10 10:34:38 2025 max relations containing the same ideal: 155
  80. Mon Mar 10 10:35:04 2025 removing 6573553 relations and 4573553 ideals in 2000000 cliques
  81. Mon Mar 10 10:35:07 2025 commencing in-memory singleton removal
  82. Mon Mar 10 10:35:11 2025 begin with 72438733 relations and 65273868 unique ideals
  83. Mon Mar 10 10:35:38 2025 reduce to 72037147 relations and 60289724 ideals in 7 passes
  84. Mon Mar 10 10:35:38 2025 max relations containing the same ideal: 147
  85. Mon Mar 10 10:36:03 2025 removing 6516960 relations and 4516960 ideals in 2000000 cliques
  86. Mon Mar 10 10:36:05 2025 commencing in-memory singleton removal
  87. Mon Mar 10 10:36:09 2025 begin with 65520187 relations and 60289724 unique ideals
  88. Mon Mar 10 10:36:34 2025 reduce to 65097276 relations and 55339488 ideals in 7 passes
  89. Mon Mar 10 10:36:34 2025 max relations containing the same ideal: 137
  90. Mon Mar 10 10:36:56 2025 removing 6476681 relations and 4476681 ideals in 2000000 cliques
  91. Mon Mar 10 10:36:58 2025 commencing in-memory singleton removal
  92. Mon Mar 10 10:37:02 2025 begin with 58620595 relations and 55339488 unique ideals
  93. Mon Mar 10 10:37:24 2025 reduce to 58164383 relations and 50394383 ideals in 7 passes
  94. Mon Mar 10 10:37:24 2025 max relations containing the same ideal: 127
  95. Mon Mar 10 10:37:44 2025 removing 6463481 relations and 4463481 ideals in 2000000 cliques
  96. Mon Mar 10 10:37:46 2025 commencing in-memory singleton removal
  97. Mon Mar 10 10:37:49 2025 begin with 51700902 relations and 50394383 unique ideals
  98. Mon Mar 10 10:38:08 2025 reduce to 51201755 relations and 45417143 ideals in 7 passes
  99. Mon Mar 10 10:38:08 2025 max relations containing the same ideal: 117
  100. Mon Mar 10 10:38:26 2025 removing 6466851 relations and 4466851 ideals in 2000000 cliques
  101. Mon Mar 10 10:38:28 2025 commencing in-memory singleton removal
  102. Mon Mar 10 10:38:30 2025 begin with 44734904 relations and 45417143 unique ideals
  103. Mon Mar 10 10:38:50 2025 reduce to 44171568 relations and 40368112 ideals in 8 passes
  104. Mon Mar 10 10:38:50 2025 max relations containing the same ideal: 107
  105. Mon Mar 10 10:39:05 2025 removing 6487111 relations and 4487111 ideals in 2000000 cliques
  106. Mon Mar 10 10:39:07 2025 commencing in-memory singleton removal
  107. Mon Mar 10 10:39:10 2025 begin with 37684457 relations and 40368112 unique ideals
  108. Mon Mar 10 10:39:26 2025 reduce to 37022931 relations and 35193712 ideals in 8 passes
  109. Mon Mar 10 10:39:26 2025 max relations containing the same ideal: 95
  110. Mon Mar 10 10:39:40 2025 removing 4007231 relations and 2920291 ideals in 1086940 cliques
  111. Mon Mar 10 10:39:42 2025 commencing in-memory singleton removal
  112. Mon Mar 10 10:39:44 2025 begin with 33015700 relations and 35193712 unique ideals
  113. Mon Mar 10 10:39:57 2025 reduce to 32703711 relations and 31953272 ideals in 7 passes
  114. Mon Mar 10 10:39:57 2025 max relations containing the same ideal: 89
  115. Mon Mar 10 10:40:08 2025 removing 60315 relations and 52155 ideals in 8160 cliques
  116. Mon Mar 10 10:40:09 2025 commencing in-memory singleton removal
  117. Mon Mar 10 10:40:11 2025 begin with 32643396 relations and 31953272 unique ideals
  118. Mon Mar 10 10:40:18 2025 reduce to 32643335 relations and 31901056 ideals in 4 passes
  119. Mon Mar 10 10:40:18 2025 max relations containing the same ideal: 89
  120. Mon Mar 10 10:40:24 2025 relations with 0 large ideals: 23515
  121. Mon Mar 10 10:40:24 2025 relations with 1 large ideals: 12098
  122. Mon Mar 10 10:40:24 2025 relations with 2 large ideals: 137610
  123. Mon Mar 10 10:40:24 2025 relations with 3 large ideals: 898530
  124. Mon Mar 10 10:40:24 2025 relations with 4 large ideals: 3166080
  125. Mon Mar 10 10:40:24 2025 relations with 5 large ideals: 6646142
  126. Mon Mar 10 10:40:24 2025 relations with 6 large ideals: 8725396
  127. Mon Mar 10 10:40:24 2025 relations with 7+ large ideals: 13033964
  128. Mon Mar 10 10:40:24 2025 commencing 2-way merge
  129. Mon Mar 10 10:40:40 2025 reduce to 21458486 relation sets and 20716207 unique ideals
  130. Mon Mar 10 10:40:40 2025 commencing full merge
  131. Mon Mar 10 10:47:32 2025 memory use: 2727.6 MB
  132. Mon Mar 10 10:47:34 2025 found 9674666 cycles, need 9644407
  133. Mon Mar 10 10:47:37 2025 weight of 9644407 cycles is about 1157819690 (120.05/cycle)
  134. Mon Mar 10 10:47:37 2025 distribution of cycle lengths:
  135. Mon Mar 10 10:47:37 2025 1 relations: 413724
  136. Mon Mar 10 10:47:37 2025 2 relations: 574311
  137. Mon Mar 10 10:47:37 2025 3 relations: 672117
  138. Mon Mar 10 10:47:37 2025 4 relations: 698665
  139. Mon Mar 10 10:47:37 2025 5 relations: 718149
  140. Mon Mar 10 10:47:37 2025 6 relations: 712295
  141. Mon Mar 10 10:47:37 2025 7 relations: 700886
  142. Mon Mar 10 10:47:37 2025 8 relations: 668762
  143. Mon Mar 10 10:47:37 2025 9 relations: 629443
  144. Mon Mar 10 10:47:37 2025 10+ relations: 3856055
  145. Mon Mar 10 10:47:37 2025 heaviest cycle: 28 relations
  146. Mon Mar 10 10:47:39 2025 commencing cycle optimization
  147. Mon Mar 10 10:47:56 2025 start with 85632576 relations
  148. Mon Mar 10 10:50:30 2025 pruned 3994356 relations
  149. Mon Mar 10 10:50:31 2025 memory use: 2236.9 MB
  150. Mon Mar 10 10:50:31 2025 distribution of cycle lengths:
  151. Mon Mar 10 10:50:31 2025 1 relations: 413724
  152. Mon Mar 10 10:50:31 2025 2 relations: 588426
  153. Mon Mar 10 10:50:31 2025 3 relations: 701169
  154. Mon Mar 10 10:50:31 2025 4 relations: 728203
  155. Mon Mar 10 10:50:31 2025 5 relations: 754500
  156. Mon Mar 10 10:50:31 2025 6 relations: 747703
  157. Mon Mar 10 10:50:31 2025 7 relations: 738294
  158. Mon Mar 10 10:50:31 2025 8 relations: 701650
  159. Mon Mar 10 10:50:31 2025 9 relations: 660010
  160. Mon Mar 10 10:50:31 2025 10+ relations: 3610728
  161. Mon Mar 10 10:50:31 2025 heaviest cycle: 28 relations
  162. Mon Mar 10 10:50:47 2025 RelProcTime: 4471
  163. Mon Mar 10 10:50:47 2025 elapsed time 01:14:32
  164. Mon Mar 10 11:12:17 2025
  165. Mon Mar 10 11:12:17 2025
  166. Mon Mar 10 11:12:17 2025 Msieve v. 1.54 (SVN unknown)
  167. Mon Mar 10 11:12:17 2025 random seeds: 4108d8c6 4f066c97
  168. Mon Mar 10 11:12:17 2025 factoring 5617387853305219335792155232783656396227659196557838469776232006050574250601079126149910801324710944072860623540937112224254876930333750642743444720526784088956722028071018818840240206427216486604809058214799588658926481 (220 digits)
  169. Mon Mar 10 11:12:18 2025 no P-1/P+1/ECM available, skipping
  170. Mon Mar 10 11:12:18 2025 commencing number field sieve (220-digit input)
  171. Mon Mar 10 11:12:18 2025 R0: -1
  172. Mon Mar 10 11:12:18 2025 R1: 385291524718027043939593315643791608343
  173. Mon Mar 10 11:12:18 2025 A0: -52138423
  174. Mon Mar 10 11:12:18 2025 A1: 0
  175. Mon Mar 10 11:12:18 2025 A2: 0
  176. Mon Mar 10 11:12:18 2025 A3: 0
  177. Mon Mar 10 11:12:18 2025 A4: 0
  178. Mon Mar 10 11:12:18 2025 A5: 0
  179. Mon Mar 10 11:12:18 2025 A6: 1
  180. Mon Mar 10 11:12:18 2025 skew 15.11, size 4.130e-12, alpha -2.287, combined = 3.449e-13 rroots = 2
  181. Mon Mar 10 11:12:18 2025
  182. Mon Mar 10 11:12:18 2025 commencing linear algebra
  183. Mon Mar 10 11:12:18 2025 using VBITS=512
  184. Mon Mar 10 11:12:19 2025 read 9644407 cycles
  185. Mon Mar 10 11:12:38 2025 cycles contain 32246334 unique relations
  186. Mon Mar 10 11:14:44 2025 read 32246334 relations
  187. Mon Mar 10 11:15:32 2025 using 20 quadratic characters above 4294917295
  188. Mon Mar 10 11:17:42 2025 building initial matrix
  189. Mon Mar 10 11:24:14 2025 memory use: 4219.2 MB
  190. Mon Mar 10 11:24:18 2025 read 9644407 cycles
  191. Mon Mar 10 11:24:19 2025 matrix is 9644230 x 9644407 (4537.0 MB) with weight 1330144992 (137.92/col)
  192. Mon Mar 10 11:24:19 2025 sparse part has weight 1083267810 (112.32/col)
  193. Mon Mar 10 11:26:10 2025 filtering completed in 2 passes
  194. Mon Mar 10 11:26:12 2025 matrix is 9644063 x 9644223 (4537.0 MB) with weight 1330138242 (137.92/col)
  195. Mon Mar 10 11:26:12 2025 sparse part has weight 1083265655 (112.32/col)
  196. Mon Mar 10 11:26:40 2025 matrix starts at (0, 0)
  197. Mon Mar 10 11:26:41 2025 matrix is 9644063 x 9644223 (4537.0 MB) with weight 1330138242 (137.92/col)
  198. Mon Mar 10 11:26:41 2025 sparse part has weight 1083265655 (112.32/col)
  199. Mon Mar 10 11:26:41 2025 saving the first 496 matrix rows for later
  200. Mon Mar 10 11:26:43 2025 matrix includes 512 packed rows
  201. Mon Mar 10 11:26:50 2025 matrix is 9643567 x 9644223 (4171.1 MB) with weight 914155735 (94.79/col)
  202. Mon Mar 10 11:26:50 2025 sparse part has weight 861967714 (89.38/col)
  203. Mon Mar 10 11:26:50 2025 using GPU 0 (NVIDIA GeForce RTX 3060)
  204. Mon Mar 10 11:26:50 2025 selected card has CUDA arch 8.6
  205. Mon Mar 10 11:27:52 2025 commencing Lanczos iteration
  206. Mon Mar 10 11:27:53 2025 memory use: 11579.7 MB
  207. Mon Mar 10 11:28:29 2025 linear algebra at 0.2%, ETA 6h 6m
  208. Mon Mar 10 11:28:30 2025 checkpointing every 1590000 dimensions
  209. Mon Mar 10 18:03:50 2025 lanczos halted after 18865 iterations (dim = 9643567)
  210. Mon Mar 10 18:06:23 2025 recovered 34 nontrivial dependencies
  211. Mon Mar 10 18:06:24 2025 BLanczosTime: 24846
  212. Mon Mar 10 18:06:24 2025
  213. Mon Mar 10 18:06:24 2025 commencing square root phase
  214. Mon Mar 10 18:06:24 2025 handling dependencies 1 to 64
  215. Mon Mar 10 18:06:24 2025 reading relations for dependency 1
  216. Mon Mar 10 18:06:31 2025 read 4822812 cycles
  217. Mon Mar 10 18:06:43 2025 cycles contain 16124686 unique relations
  218. Mon Mar 10 18:08:18 2025 read 16124686 relations
  219. Mon Mar 10 18:09:44 2025 multiplying 16124686 relations
  220. Mon Mar 10 18:20:55 2025 multiply complete, coefficients have about 433.38 million bits
  221. Mon Mar 10 18:20:57 2025 initial square root is modulo 59740111
  222. Mon Mar 10 18:35:20 2025 GCD is N, no factor found
  223. Mon Mar 10 18:35:20 2025 reading relations for dependency 2
  224. Mon Mar 10 18:35:24 2025 read 4822072 cycles
  225. Mon Mar 10 18:35:37 2025 cycles contain 16125650 unique relations
  226. Mon Mar 10 18:37:52 2025 read 16125650 relations
  227. Mon Mar 10 18:39:33 2025 multiplying 16125650 relations
  228. Mon Mar 10 18:54:19 2025 multiply complete, coefficients have about 433.39 million bits
  229. Mon Mar 10 18:54:21 2025 initial square root is modulo 59767933
  230. Mon Mar 10 19:09:27 2025 GCD is 1, no factor found
  231. Mon Mar 10 19:09:27 2025 reading relations for dependency 3
  232. Mon Mar 10 19:09:31 2025 read 4821831 cycles
  233. Mon Mar 10 19:09:45 2025 cycles contain 16121200 unique relations
  234. Mon Mar 10 19:12:02 2025 read 16121200 relations
  235. Mon Mar 10 19:14:13 2025 multiplying 16121200 relations
  236. Mon Mar 10 19:28:18 2025 multiply complete, coefficients have about 433.28 million bits
  237. Mon Mar 10 19:28:20 2025 initial square root is modulo 59481139
  238. Mon Mar 10 19:44:20 2025 sqrtTime: 5876
  239. Mon Mar 10 19:44:20 2025 p84 factor: 430501647926916953831305188768420614131576354795512354539853520809397673097758060359
  240. Mon Mar 10 19:44:20 2025 p137 factor: 13048470035726416717094610933224670551333610940463165121542911105434413354386918747888246735740351317851267549779476436688209493469446759
  241. Mon Mar 10 19:44:20 2025 elapsed time 08:32:03
  242.  
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