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Feb 28th, 2023
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  1. Mon Feb 27 15:53:46 2023
  2. Mon Feb 27 15:53:46 2023
  3. Mon Feb 27 15:53:46 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon Feb 27 15:53:46 2023 random seeds: d8f19668 0aa89b5f
  5. Mon Feb 27 15:53:46 2023 factoring 32067101519192038970276414542837612306304640792661720668988207345790659150151924323367212947528588007532099214080736860958687146377852504646869396249008088564044040047050375023152093616999440270805886804582676038397812892019140269227 (233 digits)
  6. Mon Feb 27 15:53:47 2023 no P-1/P+1/ECM available, skipping
  7. Mon Feb 27 15:53:47 2023 commencing number field sieve (233-digit input)
  8. Mon Feb 27 15:53:47 2023 R0: 3401279531446860257228878277042497130090
  9. Mon Feb 27 15:53:47 2023 R1: -58320489808015675283
  10. Mon Feb 27 15:53:47 2023 A0: -1
  11. Mon Feb 27 15:53:47 2023 A1: 3
  12. Mon Feb 27 15:53:47 2023 A2: 6
  13. Mon Feb 27 15:53:47 2023 A3: -4
  14. Mon Feb 27 15:53:47 2023 A4: -5
  15. Mon Feb 27 15:53:47 2023 A5: 1
  16. Mon Feb 27 15:53:47 2023 A6: 1
  17. Mon Feb 27 15:53:47 2023 skew 1.00, size 1.143e-11, alpha 3.126, combined = 6.877e-13 rroots = 6
  18. Mon Feb 27 15:53:47 2023
  19. Mon Feb 27 15:53:47 2023 commencing relation filtering
  20. Mon Feb 27 15:53:47 2023 setting target matrix density to 116.0
  21. Mon Feb 27 15:53:47 2023 estimated available RAM is 15960.0 MB
  22. Mon Feb 27 15:53:47 2023 commencing duplicate removal, pass 1
  23. Mon Feb 27 16:11:12 2023 skipped 35 relations with b > 2^32
  24. Mon Feb 27 16:11:12 2023 skipped 2 relations with composite factors
  25. Mon Feb 27 16:11:12 2023 found 5208971 hash collisions in 153166604 relations
  26. Mon Feb 27 16:11:12 2023 commencing duplicate removal, pass 2
  27. Mon Feb 27 16:11:53 2023 found 0 duplicates and 153166604 unique relations
  28. Mon Feb 27 16:11:53 2023 memory use: 506.4 MB
  29. Mon Feb 27 16:11:53 2023 reading ideals above 104005632
  30. Mon Feb 27 16:11:53 2023 commencing singleton removal, initial pass
  31. Mon Feb 27 16:25:19 2023 memory use: 3012.0 MB
  32. Mon Feb 27 16:25:19 2023 reading all ideals from disk
  33. Mon Feb 27 16:25:23 2023 memory use: 2733.2 MB
  34. Mon Feb 27 16:25:28 2023 commencing in-memory singleton removal
  35. Mon Feb 27 16:25:33 2023 begin with 153166604 relations and 120759845 unique ideals
  36. Mon Feb 27 16:26:25 2023 reduce to 107142458 relations and 70793859 ideals in 12 passes
  37. Mon Feb 27 16:26:25 2023 max relations containing the same ideal: 32
  38. Mon Feb 27 16:26:31 2023 reading ideals above 720000
  39. Mon Feb 27 16:26:31 2023 commencing singleton removal, initial pass
  40. Mon Feb 27 16:38:14 2023 memory use: 2756.0 MB
  41. Mon Feb 27 16:38:15 2023 reading all ideals from disk
  42. Mon Feb 27 16:38:22 2023 memory use: 4131.1 MB
  43. Mon Feb 27 16:38:32 2023 keeping 82223654 ideals with weight <= 200, target excess is 527381
  44. Mon Feb 27 16:38:42 2023 commencing in-memory singleton removal
  45. Mon Feb 27 16:38:50 2023 begin with 107142459 relations and 82223654 unique ideals
  46. Mon Feb 27 16:39:06 2023 reduce to 107142452 relations and 82223646 ideals in 2 passes
  47. Mon Feb 27 16:39:06 2023 max relations containing the same ideal: 200
  48. Mon Feb 27 16:39:48 2023 removing 8790416 relations and 6790416 ideals in 2000000 cliques
  49. Mon Feb 27 16:39:51 2023 commencing in-memory singleton removal
  50. Mon Feb 27 16:39:59 2023 begin with 98352036 relations and 82223646 unique ideals
  51. Mon Feb 27 16:40:48 2023 reduce to 97775438 relations and 74843131 ideals in 7 passes
  52. Mon Feb 27 16:40:48 2023 max relations containing the same ideal: 197
  53. Mon Feb 27 16:41:25 2023 removing 6925314 relations and 4925314 ideals in 2000000 cliques
  54. Mon Feb 27 16:41:29 2023 commencing in-memory singleton removal
  55. Mon Feb 27 16:41:35 2023 begin with 90850124 relations and 74843131 unique ideals
  56. Mon Feb 27 16:42:12 2023 reduce to 90453663 relations and 69513110 ideals in 6 passes
  57. Mon Feb 27 16:42:12 2023 max relations containing the same ideal: 188
  58. Mon Feb 27 16:42:45 2023 removing 6414421 relations and 4414421 ideals in 2000000 cliques
  59. Mon Feb 27 16:42:48 2023 commencing in-memory singleton removal
  60. Mon Feb 27 16:42:54 2023 begin with 84039242 relations and 69513110 unique ideals
  61. Mon Feb 27 16:43:28 2023 reduce to 83683826 relations and 64735630 ideals in 6 passes
  62. Mon Feb 27 16:43:28 2023 max relations containing the same ideal: 185
  63. Mon Feb 27 16:43:59 2023 removing 6157622 relations and 4157622 ideals in 2000000 cliques
  64. Mon Feb 27 16:44:01 2023 commencing in-memory singleton removal
  65. Mon Feb 27 16:44:06 2023 begin with 77526204 relations and 64735630 unique ideals
  66. Mon Feb 27 16:44:36 2023 reduce to 77185453 relations and 60229637 ideals in 6 passes
  67. Mon Feb 27 16:44:36 2023 max relations containing the same ideal: 171
  68. Mon Feb 27 16:45:05 2023 removing 6004606 relations and 4004606 ideals in 2000000 cliques
  69. Mon Feb 27 16:45:08 2023 commencing in-memory singleton removal
  70. Mon Feb 27 16:45:12 2023 begin with 71180847 relations and 60229637 unique ideals
  71. Mon Feb 27 16:45:40 2023 reduce to 70840139 relations and 55876277 ideals in 6 passes
  72. Mon Feb 27 16:45:40 2023 max relations containing the same ideal: 162
  73. Mon Feb 27 16:46:06 2023 removing 5909704 relations and 3909704 ideals in 2000000 cliques
  74. Mon Feb 27 16:46:09 2023 commencing in-memory singleton removal
  75. Mon Feb 27 16:46:13 2023 begin with 64930435 relations and 55876277 unique ideals
  76. Mon Feb 27 16:46:38 2023 reduce to 64579276 relations and 51606569 ideals in 6 passes
  77. Mon Feb 27 16:46:38 2023 max relations containing the same ideal: 153
  78. Mon Feb 27 16:47:02 2023 removing 5850277 relations and 3850277 ideals in 2000000 cliques
  79. Mon Feb 27 16:47:05 2023 commencing in-memory singleton removal
  80. Mon Feb 27 16:47:08 2023 begin with 58728999 relations and 51606569 unique ideals
  81. Mon Feb 27 16:47:34 2023 reduce to 58357835 relations and 47375021 ideals in 7 passes
  82. Mon Feb 27 16:47:34 2023 max relations containing the same ideal: 144
  83. Mon Feb 27 16:47:56 2023 removing 5821950 relations and 3821950 ideals in 2000000 cliques
  84. Mon Feb 27 16:47:58 2023 commencing in-memory singleton removal
  85. Mon Feb 27 16:48:02 2023 begin with 52535885 relations and 47375021 unique ideals
  86. Mon Feb 27 16:48:24 2023 reduce to 52135175 relations and 43140240 ideals in 7 passes
  87. Mon Feb 27 16:48:24 2023 max relations containing the same ideal: 133
  88. Mon Feb 27 16:48:44 2023 removing 5817507 relations and 3817507 ideals in 2000000 cliques
  89. Mon Feb 27 16:48:46 2023 commencing in-memory singleton removal
  90. Mon Feb 27 16:48:49 2023 begin with 46317668 relations and 43140240 unique ideals
  91. Mon Feb 27 16:49:09 2023 reduce to 45873059 relations and 38863038 ideals in 7 passes
  92. Mon Feb 27 16:49:09 2023 max relations containing the same ideal: 122
  93. Mon Feb 27 16:49:26 2023 removing 5834441 relations and 3834441 ideals in 2000000 cliques
  94. Mon Feb 27 16:49:28 2023 commencing in-memory singleton removal
  95. Mon Feb 27 16:49:31 2023 begin with 40038618 relations and 38863038 unique ideals
  96. Mon Feb 27 16:49:47 2023 reduce to 39533737 relations and 34504594 ideals in 7 passes
  97. Mon Feb 27 16:49:47 2023 max relations containing the same ideal: 114
  98. Mon Feb 27 16:50:03 2023 removing 5869196 relations and 3869196 ideals in 2000000 cliques
  99. Mon Feb 27 16:50:04 2023 commencing in-memory singleton removal
  100. Mon Feb 27 16:50:07 2023 begin with 33664541 relations and 34504594 unique ideals
  101. Mon Feb 27 16:50:22 2023 reduce to 33071950 relations and 30016706 ideals in 8 passes
  102. Mon Feb 27 16:50:22 2023 max relations containing the same ideal: 106
  103. Mon Feb 27 16:50:35 2023 removing 5922241 relations and 3922241 ideals in 2000000 cliques
  104. Mon Feb 27 16:50:37 2023 commencing in-memory singleton removal
  105. Mon Feb 27 16:50:38 2023 begin with 27149709 relations and 30016706 unique ideals
  106. Mon Feb 27 16:50:51 2023 reduce to 26414883 relations and 25320776 ideals in 8 passes
  107. Mon Feb 27 16:50:51 2023 max relations containing the same ideal: 88
  108. Mon Feb 27 16:51:01 2023 removing 1904376 relations and 1422031 ideals in 482345 cliques
  109. Mon Feb 27 16:51:02 2023 commencing in-memory singleton removal
  110. Mon Feb 27 16:51:04 2023 begin with 24510507 relations and 25320776 unique ideals
  111. Mon Feb 27 16:51:14 2023 reduce to 24391905 relations and 23778040 ideals in 7 passes
  112. Mon Feb 27 16:51:14 2023 max relations containing the same ideal: 82
  113. Mon Feb 27 16:51:27 2023 relations with 0 large ideals: 40310
  114. Mon Feb 27 16:51:27 2023 relations with 1 large ideals: 8557
  115. Mon Feb 27 16:51:27 2023 relations with 2 large ideals: 95228
  116. Mon Feb 27 16:51:27 2023 relations with 3 large ideals: 629969
  117. Mon Feb 27 16:51:27 2023 relations with 4 large ideals: 2260537
  118. Mon Feb 27 16:51:27 2023 relations with 5 large ideals: 4830671
  119. Mon Feb 27 16:51:27 2023 relations with 6 large ideals: 6426011
  120. Mon Feb 27 16:51:27 2023 relations with 7+ large ideals: 10100622
  121. Mon Feb 27 16:51:27 2023 commencing 2-way merge
  122. Mon Feb 27 16:51:40 2023 reduce to 16415875 relation sets and 15802010 unique ideals
  123. Mon Feb 27 16:51:40 2023 commencing full merge
  124. Mon Feb 27 16:57:23 2023 memory use: 2212.4 MB
  125. Mon Feb 27 16:57:25 2023 found 7458514 cycles, need 7442210
  126. Mon Feb 27 16:57:27 2023 weight of 7442210 cycles is about 863462433 (116.02/cycle)
  127. Mon Feb 27 16:57:27 2023 distribution of cycle lengths:
  128. Mon Feb 27 16:57:27 2023 1 relations: 317211
  129. Mon Feb 27 16:57:27 2023 2 relations: 438435
  130. Mon Feb 27 16:57:27 2023 3 relations: 513072
  131. Mon Feb 27 16:57:27 2023 4 relations: 534074
  132. Mon Feb 27 16:57:27 2023 5 relations: 546373
  133. Mon Feb 27 16:57:27 2023 6 relations: 544433
  134. Mon Feb 27 16:57:27 2023 7 relations: 532975
  135. Mon Feb 27 16:57:27 2023 8 relations: 510584
  136. Mon Feb 27 16:57:27 2023 9 relations: 479551
  137. Mon Feb 27 16:57:27 2023 10+ relations: 3025502
  138. Mon Feb 27 16:57:27 2023 heaviest cycle: 28 relations
  139. Mon Feb 27 16:57:29 2023 commencing cycle optimization
  140. Mon Feb 27 16:57:41 2023 start with 67026402 relations
  141. Mon Feb 27 16:59:56 2023 pruned 3311550 relations
  142. Mon Feb 27 16:59:56 2023 memory use: 1705.0 MB
  143. Mon Feb 27 16:59:56 2023 distribution of cycle lengths:
  144. Mon Feb 27 16:59:56 2023 1 relations: 317211
  145. Mon Feb 27 16:59:56 2023 2 relations: 448115
  146. Mon Feb 27 16:59:56 2023 3 relations: 533733
  147. Mon Feb 27 16:59:56 2023 4 relations: 556586
  148. Mon Feb 27 16:59:56 2023 5 relations: 575366
  149. Mon Feb 27 16:59:56 2023 6 relations: 572710
  150. Mon Feb 27 16:59:56 2023 7 relations: 563374
  151. Mon Feb 27 16:59:56 2023 8 relations: 537537
  152. Mon Feb 27 16:59:56 2023 9 relations: 504795
  153. Mon Feb 27 16:59:56 2023 10+ relations: 2832783
  154. Mon Feb 27 16:59:56 2023 heaviest cycle: 28 relations
  155. Mon Feb 27 17:00:08 2023 RelProcTime: 3981
  156. Mon Feb 27 17:00:08 2023 elapsed time 01:06:22
  157. Mon Feb 27 17:34:30 2023
  158. Mon Feb 27 17:34:30 2023
  159. Mon Feb 27 17:34:30 2023 Msieve v. 1.54 (SVN Unversioned directory)
  160. Mon Feb 27 17:34:30 2023 random seeds: 6c325d85 cd4dfd09
  161. Mon Feb 27 17:34:30 2023 factoring 32067101519192038970276414542837612306304640792661720668988207345790659150151924323367212947528588007532099214080736860958687146377852504646869396249008088564044040047050375023152093616999440270805886804582676038397812892019140269227 (233 digits)
  162. Mon Feb 27 17:34:31 2023 no P-1/P+1/ECM available, skipping
  163. Mon Feb 27 17:34:31 2023 commencing number field sieve (233-digit input)
  164. Mon Feb 27 17:34:31 2023 R0: 3401279531446860257228878277042497130090
  165. Mon Feb 27 17:34:31 2023 R1: -58320489808015675283
  166. Mon Feb 27 17:34:31 2023 A0: -1
  167. Mon Feb 27 17:34:31 2023 A1: 3
  168. Mon Feb 27 17:34:31 2023 A2: 6
  169. Mon Feb 27 17:34:31 2023 A3: -4
  170. Mon Feb 27 17:34:31 2023 A4: -5
  171. Mon Feb 27 17:34:31 2023 A5: 1
  172. Mon Feb 27 17:34:31 2023 A6: 1
  173. Mon Feb 27 17:34:31 2023 skew 1.00, size 1.143e-11, alpha 3.126, combined = 6.877e-13 rroots = 6
  174. Mon Feb 27 17:34:31 2023
  175. Mon Feb 27 17:34:31 2023 commencing linear algebra
  176. Mon Feb 27 17:34:31 2023 using VBITS=512
  177. Mon Feb 27 17:34:31 2023 read 7442210 cycles
  178. Mon Feb 27 17:34:44 2023 cycles contain 24076373 unique relations
  179. Mon Feb 27 17:36:41 2023 read 24076373 relations
  180. Mon Feb 27 17:37:21 2023 using 20 quadratic characters above 4294917295
  181. Mon Feb 27 17:38:54 2023 building initial matrix
  182. Mon Feb 27 17:43:14 2023 memory use: 2959.4 MB
  183. Mon Feb 27 17:43:17 2023 read 7442210 cycles
  184. Mon Feb 27 17:43:18 2023 matrix is 7442033 x 7442210 (3351.0 MB) with weight 949783291 (127.62/col)
  185. Mon Feb 27 17:43:18 2023 sparse part has weight 804034381 (108.04/col)
  186. Mon Feb 27 17:44:40 2023 filtering completed in 2 passes
  187. Mon Feb 27 17:44:42 2023 matrix is 7441943 x 7442085 (3351.0 MB) with weight 949779781 (127.62/col)
  188. Mon Feb 27 17:44:42 2023 sparse part has weight 804033167 (108.04/col)
  189. Mon Feb 27 17:45:01 2023 matrix starts at (0, 0)
  190. Mon Feb 27 17:45:02 2023 matrix is 7441943 x 7442085 (3351.0 MB) with weight 949779781 (127.62/col)
  191. Mon Feb 27 17:45:02 2023 sparse part has weight 804033167 (108.04/col)
  192. Mon Feb 27 17:45:02 2023 saving the first 496 matrix rows for later
  193. Mon Feb 27 17:45:03 2023 matrix includes 512 packed rows
  194. Mon Feb 27 17:45:08 2023 matrix is 7441447 x 7442085 (3176.3 MB) with weight 691200968 (92.88/col)
  195. Mon Feb 27 17:45:08 2023 sparse part has weight 654041348 (87.88/col)
  196. Mon Feb 27 17:45:08 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  197. Mon Feb 27 17:45:08 2023 selected card has CUDA arch 8.6
  198. Mon Feb 27 17:45:53 2023 commencing Lanczos iteration
  199. Mon Feb 27 17:45:54 2023 memory use: 8850.9 MB
  200. Mon Feb 27 17:46:21 2023 linear algebra at 0.2%, ETA 3h37m
  201. Mon Feb 27 17:46:22 2023 checkpointing every 2040000 dimensions
  202. Mon Feb 27 21:21:28 2023 lanczos halted after 14557 iterations (dim = 7441447)
  203. Mon Feb 27 21:22:40 2023 recovered 34 nontrivial dependencies
  204. Mon Feb 27 21:22:40 2023 BLanczosTime: 13689
  205. Mon Feb 27 21:22:40 2023
  206. Mon Feb 27 21:22:40 2023 commencing square root phase
  207. Mon Feb 27 21:22:40 2023 handling dependencies 1 to 64
  208. Mon Feb 27 21:22:40 2023 reading relations for dependency 1
  209. Mon Feb 27 21:22:41 2023 read 3723123 cycles
  210. Mon Feb 27 21:22:48 2023 cycles contain 12040714 unique relations
  211. Mon Feb 27 21:23:52 2023 read 12040714 relations
  212. Mon Feb 27 21:24:38 2023 multiplying 12040714 relations
  213. Mon Feb 27 21:30:46 2023 multiply complete, coefficients have about 296.45 million bits
  214. Mon Feb 27 21:30:47 2023 initial square root is modulo 208657
  215. Mon Feb 27 21:37:40 2023 GCD is N, no factor found
  216. Mon Feb 27 21:37:40 2023 reading relations for dependency 2
  217. Mon Feb 27 21:37:41 2023 read 3724113 cycles
  218. Mon Feb 27 21:37:47 2023 cycles contain 12041810 unique relations
  219. Mon Feb 27 21:38:51 2023 read 12041810 relations
  220. Mon Feb 27 21:39:37 2023 multiplying 12041810 relations
  221. Mon Feb 27 21:45:44 2023 multiply complete, coefficients have about 296.49 million bits
  222. Mon Feb 27 21:45:46 2023 initial square root is modulo 209021
  223. Mon Feb 27 21:52:39 2023 sqrtTime: 1799
  224. Mon Feb 27 21:52:39 2023 p60 factor: 137134139891617262932192478324030799599078659512183664914079
  225. Mon Feb 27 21:52:39 2023 p174 factor: 233837478723649595522900163604484885216474399038662660891897413610961208912792622369127814804613665083787449148549240367318021194223671484386030095504642347643927330639837813
  226. Mon Feb 27 21:52:39 2023 elapsed time 04:18:09
  227.  
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