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Aug 20th, 2024
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  1. Tue Aug 20 12:11:32 2024
  2. Tue Aug 20 12:11:32 2024
  3. Tue Aug 20 12:11:32 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Aug 20 12:11:32 2024 random seeds: 0ca47312 ea0d8e13
  5. Tue Aug 20 12:11:32 2024 factoring 6720989388288955016081153714872263481259299508406892351297394494521118451432926267010377218248006266496382104003637848971525628236254325939509972378667558230908858825614388337750143363923124659342139927156049838851886984393 (223 digits)
  6. Tue Aug 20 12:11:33 2024 no P-1/P+1/ECM available, skipping
  7. Tue Aug 20 12:11:33 2024 commencing number field sieve (223-digit input)
  8. Tue Aug 20 12:11:33 2024 R0: 31907208505909884425034341326816697402
  9. Tue Aug 20 12:11:33 2024 R1: -5648646608339902549
  10. Tue Aug 20 12:11:33 2024 A0: -1
  11. Tue Aug 20 12:11:33 2024 A1: 3
  12. Tue Aug 20 12:11:33 2024 A2: 6
  13. Tue Aug 20 12:11:33 2024 A3: -4
  14. Tue Aug 20 12:11:33 2024 A4: -5
  15. Tue Aug 20 12:11:33 2024 A5: 1
  16. Tue Aug 20 12:11:33 2024 A6: 1
  17. Tue Aug 20 12:11:33 2024 skew 1.00, size 4.339e-11, alpha 3.126, combined = 1.809e-12 rroots = 6
  18. Tue Aug 20 12:11:33 2024
  19. Tue Aug 20 12:11:33 2024 commencing relation filtering
  20. Tue Aug 20 12:11:33 2024 setting target matrix density to 120.0
  21. Tue Aug 20 12:11:33 2024 estimated available RAM is 15960.0 MB
  22. Tue Aug 20 12:11:33 2024 commencing duplicate removal, pass 1
  23. Tue Aug 20 12:28:03 2024 skipped 11 relations with b > 2^32
  24. Tue Aug 20 12:28:03 2024 found 5785685 hash collisions in 115466768 relations
  25. Tue Aug 20 12:28:03 2024 commencing duplicate removal, pass 2
  26. Tue Aug 20 12:28:49 2024 found 0 duplicates and 115466768 unique relations
  27. Tue Aug 20 12:28:49 2024 memory use: 378.4 MB
  28. Tue Aug 20 12:28:49 2024 reading ideals above 75956224
  29. Tue Aug 20 12:28:49 2024 commencing singleton removal, initial pass
  30. Tue Aug 20 12:41:57 2024 memory use: 2756.0 MB
  31. Tue Aug 20 12:41:57 2024 reading all ideals from disk
  32. Tue Aug 20 12:42:00 2024 memory use: 1959.5 MB
  33. Tue Aug 20 12:42:05 2024 commencing in-memory singleton removal
  34. Tue Aug 20 12:42:10 2024 begin with 115466768 relations and 84911977 unique ideals
  35. Tue Aug 20 12:42:58 2024 reduce to 85540959 relations and 52608616 ideals in 11 passes
  36. Tue Aug 20 12:42:58 2024 max relations containing the same ideal: 50
  37. Tue Aug 20 12:43:04 2024 reading ideals above 720000
  38. Tue Aug 20 12:43:04 2024 commencing singleton removal, initial pass
  39. Tue Aug 20 12:56:03 2024 memory use: 1506.0 MB
  40. Tue Aug 20 12:56:03 2024 reading all ideals from disk
  41. Tue Aug 20 12:56:11 2024 memory use: 3188.5 MB
  42. Tue Aug 20 12:56:23 2024 keeping 61065953 ideals with weight <= 200, target excess is 436510
  43. Tue Aug 20 12:56:35 2024 commencing in-memory singleton removal
  44. Tue Aug 20 12:56:45 2024 begin with 85540959 relations and 61065953 unique ideals
  45. Tue Aug 20 12:57:20 2024 reduce to 85540920 relations and 61065914 ideals in 4 passes
  46. Tue Aug 20 12:57:20 2024 max relations containing the same ideal: 200
  47. Tue Aug 20 12:58:11 2024 removing 7482217 relations and 5482217 ideals in 2000000 cliques
  48. Tue Aug 20 12:58:15 2024 commencing in-memory singleton removal
  49. Tue Aug 20 12:58:24 2024 begin with 78058703 relations and 61065914 unique ideals
  50. Tue Aug 20 12:59:18 2024 reduce to 77513697 relations and 55023056 ideals in 7 passes
  51. Tue Aug 20 12:59:18 2024 max relations containing the same ideal: 196
  52. Tue Aug 20 13:00:05 2024 removing 6113204 relations and 4113204 ideals in 2000000 cliques
  53. Tue Aug 20 13:00:09 2024 commencing in-memory singleton removal
  54. Tue Aug 20 13:00:16 2024 begin with 71400493 relations and 55023056 unique ideals
  55. Tue Aug 20 13:01:06 2024 reduce to 71027403 relations and 50526966 ideals in 7 passes
  56. Tue Aug 20 13:01:06 2024 max relations containing the same ideal: 188
  57. Tue Aug 20 13:01:49 2024 removing 5706445 relations and 3706445 ideals in 2000000 cliques
  58. Tue Aug 20 13:01:52 2024 commencing in-memory singleton removal
  59. Tue Aug 20 13:01:59 2024 begin with 65320958 relations and 50526966 unique ideals
  60. Tue Aug 20 13:02:43 2024 reduce to 64992838 relations and 46483674 ideals in 7 passes
  61. Tue Aug 20 13:02:43 2024 max relations containing the same ideal: 180
  62. Tue Aug 20 13:03:22 2024 removing 5490680 relations and 3490680 ideals in 2000000 cliques
  63. Tue Aug 20 13:03:25 2024 commencing in-memory singleton removal
  64. Tue Aug 20 13:03:31 2024 begin with 59502158 relations and 46483674 unique ideals
  65. Tue Aug 20 13:04:02 2024 reduce to 59193624 relations and 42675584 ideals in 6 passes
  66. Tue Aug 20 13:04:02 2024 max relations containing the same ideal: 170
  67. Tue Aug 20 13:04:33 2024 removing 5356837 relations and 3356837 ideals in 2000000 cliques
  68. Tue Aug 20 13:04:36 2024 commencing in-memory singleton removal
  69. Tue Aug 20 13:04:41 2024 begin with 53836787 relations and 42675584 unique ideals
  70. Tue Aug 20 13:05:13 2024 reduce to 53532159 relations and 39004996 ideals in 7 passes
  71. Tue Aug 20 13:05:13 2024 max relations containing the same ideal: 156
  72. Tue Aug 20 13:05:42 2024 removing 5263152 relations and 3263152 ideals in 2000000 cliques
  73. Tue Aug 20 13:05:44 2024 commencing in-memory singleton removal
  74. Tue Aug 20 13:05:49 2024 begin with 48269007 relations and 39004996 unique ideals
  75. Tue Aug 20 13:06:17 2024 reduce to 47960843 relations and 35423570 ideals in 7 passes
  76. Tue Aug 20 13:06:17 2024 max relations containing the same ideal: 143
  77. Tue Aug 20 13:06:42 2024 removing 5198835 relations and 3198835 ideals in 2000000 cliques
  78. Tue Aug 20 13:06:45 2024 commencing in-memory singleton removal
  79. Tue Aug 20 13:06:49 2024 begin with 42762008 relations and 35423570 unique ideals
  80. Tue Aug 20 13:07:10 2024 reduce to 42439162 relations and 31890249 ideals in 6 passes
  81. Tue Aug 20 13:07:10 2024 max relations containing the same ideal: 133
  82. Tue Aug 20 13:07:32 2024 removing 5153399 relations and 3153399 ideals in 2000000 cliques
  83. Tue Aug 20 13:07:35 2024 commencing in-memory singleton removal
  84. Tue Aug 20 13:07:38 2024 begin with 37285763 relations and 31890249 unique ideals
  85. Tue Aug 20 13:07:56 2024 reduce to 36940242 relations and 28377607 ideals in 6 passes
  86. Tue Aug 20 13:07:56 2024 max relations containing the same ideal: 119
  87. Tue Aug 20 13:08:15 2024 removing 5116325 relations and 3116325 ideals in 2000000 cliques
  88. Tue Aug 20 13:08:17 2024 commencing in-memory singleton removal
  89. Tue Aug 20 13:08:20 2024 begin with 31823917 relations and 28377607 unique ideals
  90. Tue Aug 20 13:08:36 2024 reduce to 31446776 relations and 24867101 ideals in 6 passes
  91. Tue Aug 20 13:08:36 2024 max relations containing the same ideal: 107
  92. Tue Aug 20 13:08:52 2024 removing 5086159 relations and 3086159 ideals in 2000000 cliques
  93. Tue Aug 20 13:08:54 2024 commencing in-memory singleton removal
  94. Tue Aug 20 13:08:57 2024 begin with 26360617 relations and 24867101 unique ideals
  95. Tue Aug 20 13:09:11 2024 reduce to 25940904 relations and 21339650 ideals in 7 passes
  96. Tue Aug 20 13:09:11 2024 max relations containing the same ideal: 97
  97. Tue Aug 20 13:09:26 2024 removing 5056274 relations and 3056274 ideals in 2000000 cliques
  98. Tue Aug 20 13:09:28 2024 commencing in-memory singleton removal
  99. Tue Aug 20 13:09:30 2024 begin with 20884630 relations and 21339650 unique ideals
  100. Tue Aug 20 13:09:42 2024 reduce to 20401452 relations and 17770360 ideals in 7 passes
  101. Tue Aug 20 13:09:42 2024 max relations containing the same ideal: 82
  102. Tue Aug 20 13:09:54 2024 removing 5010624 relations and 3010624 ideals in 2000000 cliques
  103. Tue Aug 20 13:09:56 2024 commencing in-memory singleton removal
  104. Tue Aug 20 13:09:58 2024 begin with 15390828 relations and 17770360 unique ideals
  105. Tue Aug 20 13:10:07 2024 reduce to 14780425 relations and 14101687 ideals in 8 passes
  106. Tue Aug 20 13:10:07 2024 max relations containing the same ideal: 66
  107. Tue Aug 20 13:10:15 2024 removing 662081 relations and 489695 ideals in 172386 cliques
  108. Tue Aug 20 13:10:16 2024 commencing in-memory singleton removal
  109. Tue Aug 20 13:10:18 2024 begin with 14118344 relations and 14101687 unique ideals
  110. Tue Aug 20 13:10:24 2024 reduce to 14083787 relations and 13576986 ideals in 6 passes
  111. Tue Aug 20 13:10:24 2024 max relations containing the same ideal: 63
  112. Tue Aug 20 13:10:32 2024 relations with 0 large ideals: 32348
  113. Tue Aug 20 13:10:32 2024 relations with 1 large ideals: 10629
  114. Tue Aug 20 13:10:32 2024 relations with 2 large ideals: 96033
  115. Tue Aug 20 13:10:32 2024 relations with 3 large ideals: 563022
  116. Tue Aug 20 13:10:32 2024 relations with 4 large ideals: 1758415
  117. Tue Aug 20 13:10:32 2024 relations with 5 large ideals: 3226126
  118. Tue Aug 20 13:10:32 2024 relations with 6 large ideals: 3672233
  119. Tue Aug 20 13:10:32 2024 relations with 7+ large ideals: 4724981
  120. Tue Aug 20 13:10:32 2024 commencing 2-way merge
  121. Tue Aug 20 13:10:39 2024 reduce to 10116907 relation sets and 9610106 unique ideals
  122. Tue Aug 20 13:10:39 2024 commencing full merge
  123. Tue Aug 20 13:13:57 2024 memory use: 1300.6 MB
  124. Tue Aug 20 13:13:58 2024 found 4502299 cycles, need 4492306
  125. Tue Aug 20 13:14:00 2024 weight of 4492306 cycles is about 539477706 (120.09/cycle)
  126. Tue Aug 20 13:14:00 2024 distribution of cycle lengths:
  127. Tue Aug 20 13:14:00 2024 1 relations: 118188
  128. Tue Aug 20 13:14:00 2024 2 relations: 210389
  129. Tue Aug 20 13:14:00 2024 3 relations: 284513
  130. Tue Aug 20 13:14:00 2024 4 relations: 319399
  131. Tue Aug 20 13:14:00 2024 5 relations: 343746
  132. Tue Aug 20 13:14:00 2024 6 relations: 348850
  133. Tue Aug 20 13:14:00 2024 7 relations: 342564
  134. Tue Aug 20 13:14:00 2024 8 relations: 326320
  135. Tue Aug 20 13:14:00 2024 9 relations: 304284
  136. Tue Aug 20 13:14:00 2024 10+ relations: 1894053
  137. Tue Aug 20 13:14:00 2024 heaviest cycle: 28 relations
  138. Tue Aug 20 13:14:01 2024 commencing cycle optimization
  139. Tue Aug 20 13:14:09 2024 start with 42083970 relations
  140. Tue Aug 20 13:15:43 2024 pruned 2474383 relations
  141. Tue Aug 20 13:15:43 2024 memory use: 1020.4 MB
  142. Tue Aug 20 13:15:43 2024 distribution of cycle lengths:
  143. Tue Aug 20 13:15:43 2024 1 relations: 118188
  144. Tue Aug 20 13:15:43 2024 2 relations: 216350
  145. Tue Aug 20 13:15:43 2024 3 relations: 298302
  146. Tue Aug 20 13:15:43 2024 4 relations: 336155
  147. Tue Aug 20 13:15:43 2024 5 relations: 366553
  148. Tue Aug 20 13:15:43 2024 6 relations: 371243
  149. Tue Aug 20 13:15:43 2024 7 relations: 367514
  150. Tue Aug 20 13:15:43 2024 8 relations: 347293
  151. Tue Aug 20 13:15:43 2024 9 relations: 322967
  152. Tue Aug 20 13:15:43 2024 10+ relations: 1747741
  153. Tue Aug 20 13:15:43 2024 heaviest cycle: 28 relations
  154. Tue Aug 20 13:15:51 2024 RelProcTime: 3858
  155. Tue Aug 20 13:15:53 2024
  156. Tue Aug 20 13:15:53 2024 commencing linear algebra
  157. Tue Aug 20 13:15:53 2024 using VBITS=512
  158. Tue Aug 20 13:15:53 2024 read 4492306 cycles
  159. Tue Aug 20 13:16:03 2024 cycles contain 13864858 unique relations
  160. Tue Aug 20 13:17:02 2024 read 13864858 relations
  161. Tue Aug 20 13:17:34 2024 using 20 quadratic characters above 4294917295
  162. Tue Aug 20 13:19:04 2024 building initial matrix
  163. Tue Aug 20 13:22:49 2024 memory use: 1702.2 MB
  164. Tue Aug 20 13:22:51 2024 read 4492306 cycles
  165. Tue Aug 20 13:22:52 2024 matrix is 4492129 x 4492306 (2061.6 MB) with weight 583946043 (129.99/col)
  166. Tue Aug 20 13:22:52 2024 sparse part has weight 495522322 (110.30/col)
  167. Tue Aug 20 13:23:54 2024 filtering completed in 2 passes
  168. Tue Aug 20 13:23:55 2024 matrix is 4492078 x 4492221 (2061.6 MB) with weight 583943708 (129.99/col)
  169. Tue Aug 20 13:23:55 2024 sparse part has weight 495521399 (110.31/col)
  170. Tue Aug 20 13:24:08 2024 matrix starts at (0, 0)
  171. Tue Aug 20 13:24:09 2024 matrix is 4492078 x 4492221 (2061.6 MB) with weight 583943708 (129.99/col)
  172. Tue Aug 20 13:24:09 2024 sparse part has weight 495521399 (110.31/col)
  173. Tue Aug 20 13:24:09 2024 saving the first 496 matrix rows for later
  174. Tue Aug 20 13:24:11 2024 matrix includes 512 packed rows
  175. Tue Aug 20 13:24:15 2024 matrix is 4491582 x 4492221 (1935.0 MB) with weight 423336413 (94.24/col)
  176. Tue Aug 20 13:24:15 2024 sparse part has weight 399429602 (88.92/col)
  177. Tue Aug 20 13:24:15 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  178. Tue Aug 20 13:24:15 2024 selected card has CUDA arch 8.6
  179. Tue Aug 20 13:24:49 2024 commencing Lanczos iteration
  180. Tue Aug 20 13:24:50 2024 memory use: 5275.2 MB
  181. Tue Aug 20 13:25:07 2024 linear algebra at 0.3%, ETA 1h17m
  182. Tue Aug 20 13:25:08 2024 checkpointing every 3360000 dimensions
  183. Tue Aug 20 14:52:39 2024 lanczos halted after 8787 iterations (dim = 4491582)
  184. Tue Aug 20 14:53:35 2024 recovered 34 nontrivial dependencies
  185. Tue Aug 20 14:53:35 2024 BLanczosTime: 5862
  186. Tue Aug 20 14:53:35 2024
  187. Tue Aug 20 14:53:35 2024 commencing square root phase
  188. Tue Aug 20 14:53:35 2024 handling dependencies 1 to 64
  189. Tue Aug 20 14:53:35 2024 reading relations for dependency 1
  190. Tue Aug 20 14:53:36 2024 read 2245710 cycles
  191. Tue Aug 20 14:53:41 2024 cycles contain 6931464 unique relations
  192. Tue Aug 20 14:54:37 2024 read 6931464 relations
  193. Tue Aug 20 14:55:13 2024 multiplying 6931464 relations
  194. Tue Aug 20 14:59:44 2024 multiply complete, coefficients have about 168.62 million bits
  195. Tue Aug 20 14:59:46 2024 initial square root is modulo 1125469
  196. Tue Aug 20 15:04:47 2024 GCD is 1, no factor found
  197. Tue Aug 20 15:04:47 2024 reading relations for dependency 2
  198. Tue Aug 20 15:04:48 2024 read 2245632 cycles
  199. Tue Aug 20 15:04:54 2024 cycles contain 6930240 unique relations
  200. Tue Aug 20 15:05:47 2024 read 6930240 relations
  201. Tue Aug 20 15:06:23 2024 multiplying 6930240 relations
  202. Tue Aug 20 15:10:47 2024 multiply complete, coefficients have about 168.59 million bits
  203. Tue Aug 20 15:10:48 2024 initial square root is modulo 1123051
  204. Tue Aug 20 15:15:38 2024 GCD is 1, no factor found
  205. Tue Aug 20 15:15:38 2024 reading relations for dependency 3
  206. Tue Aug 20 15:15:39 2024 read 2245250 cycles
  207. Tue Aug 20 15:15:44 2024 cycles contain 6932334 unique relations
  208. Tue Aug 20 15:16:35 2024 read 6932334 relations
  209. Tue Aug 20 15:17:13 2024 multiplying 6932334 relations
  210. Tue Aug 20 15:21:34 2024 multiply complete, coefficients have about 168.64 million bits
  211. Tue Aug 20 15:21:35 2024 initial square root is modulo 1127323
  212. Tue Aug 20 15:26:28 2024 GCD is N, no factor found
  213. Tue Aug 20 15:26:28 2024 reading relations for dependency 4
  214. Tue Aug 20 15:26:29 2024 read 2245570 cycles
  215. Tue Aug 20 15:26:33 2024 cycles contain 6932542 unique relations
  216. Tue Aug 20 15:27:25 2024 read 6932542 relations
  217. Tue Aug 20 15:28:02 2024 multiplying 6932542 relations
  218. Tue Aug 20 15:32:09 2024 multiply complete, coefficients have about 168.64 million bits
  219. Tue Aug 20 15:32:10 2024 initial square root is modulo 1127453
  220. Tue Aug 20 15:37:17 2024 GCD is N, no factor found
  221. Tue Aug 20 15:37:17 2024 reading relations for dependency 5
  222. Tue Aug 20 15:37:18 2024 read 2245678 cycles
  223. Tue Aug 20 15:37:24 2024 cycles contain 6933650 unique relations
  224. Tue Aug 20 15:38:15 2024 read 6933650 relations
  225. Tue Aug 20 15:38:51 2024 multiplying 6933650 relations
  226. Tue Aug 20 15:43:12 2024 multiply complete, coefficients have about 168.68 million bits
  227. Tue Aug 20 15:43:13 2024 initial square root is modulo 1131223
  228. Tue Aug 20 15:48:05 2024 sqrtTime: 3270
  229. Tue Aug 20 15:48:05 2024 p105 factor: 158690224873400278214902411500630144883839719378406218811761332074234392849978941298282743965228913321793
  230. Tue Aug 20 15:48:05 2024 p119 factor: 42352888425552480674542982140276269219138168775756084217113264152520011073365039105602861636863608638999965378908728201
  231. Tue Aug 20 15:48:05 2024 elapsed time 03:36:33
  232.  
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