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Aug 5th, 2023
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  1. Fri Aug 4 11:28:52 2023
  2. Fri Aug 4 11:28:52 2023
  3. Fri Aug 4 11:28:52 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Aug 4 11:28:52 2023 random seeds: 8035da7c 9c18e6a2
  5. Fri Aug 4 11:28:52 2023 MPI process 0 of 1
  6. Fri Aug 4 11:28:52 2023 Using 46 OpenMP threads
  7. Fri Aug 4 11:28:52 2023 factoring 1648769622153189998826034387967768399462566353950171458570490334790500035089753926684532037877149705310712299433703270570571980682170375361373537176095612689298007553862905880551 (178 digits)
  8. Fri Aug 4 11:28:53 2023 no P-1/P+1/ECM available, skipping
  9. Fri Aug 4 11:28:53 2023 commencing number field sieve (178-digit input)
  10. Fri Aug 4 11:28:53 2023 R0: 43556142965880123323311949751266331066368
  11. Fri Aug 4 11:28:53 2023 R1: -1
  12. Fri Aug 4 11:28:53 2023 A0: -2
  13. Fri Aug 4 11:28:53 2023 A1: 0
  14. Fri Aug 4 11:28:53 2023 A2: 0
  15. Fri Aug 4 11:28:53 2023 A3: 0
  16. Fri Aug 4 11:28:53 2023 A4: 0
  17. Fri Aug 4 11:28:53 2023 A5: 0
  18. Fri Aug 4 11:28:53 2023 A6: 5
  19. Fri Aug 4 11:28:53 2023 skew 0.86, size 3.385e-12, alpha 2.819, combined = 2.899e-13 rroots = 2
  20. Fri Aug 4 11:28:53 2023
  21. Fri Aug 4 11:28:53 2023 commencing relation filtering
  22. Fri Aug 4 11:28:53 2023 setting target matrix density to 110.0
  23. Fri Aug 4 11:28:53 2023 estimated available RAM is 192069.1 MB
  24. Fri Aug 4 11:28:53 2023 commencing duplicate removal, pass 1
  25. Fri Aug 4 11:30:54 2023 skipped 160 relations with b > 2^32
  26. Fri Aug 4 11:30:54 2023 skipped 66 malformed relations
  27. Fri Aug 4 11:30:54 2023 found 6699185 hash collisions in 174172403 relations
  28. Fri Aug 4 11:31:09 2023 added 1218409 free relations
  29. Fri Aug 4 11:31:09 2023 commencing duplicate removal, pass 2
  30. Fri Aug 4 11:31:51 2023 found 0 duplicates and 175390812 unique relations
  31. Fri Aug 4 11:31:51 2023 memory use: 554.4 MB
  32. Fri Aug 4 11:31:51 2023 reading ideals above 720000
  33. Fri Aug 4 11:31:51 2023 commencing singleton removal, initial pass
  34. Fri Aug 4 11:38:14 2023 memory use: 5512.0 MB
  35. Fri Aug 4 11:38:15 2023 reading all ideals from disk
  36. Fri Aug 4 11:38:20 2023 memory use: 8273.6 MB
  37. Fri Aug 4 11:38:30 2023 keeping 183259237 ideals with weight <= 200, target excess is 980505
  38. Fri Aug 4 11:38:44 2023 commencing in-memory singleton removal
  39. Fri Aug 4 11:38:46 2023 begin with 175390812 relations and 183259237 unique ideals
  40. Fri Aug 4 11:38:54 2023 reduce to 72043346 relations and 64905667 ideals in 18 passes
  41. Fri Aug 4 11:38:54 2023 max relations containing the same ideal: 113
  42. Fri Aug 4 11:39:14 2023 removing 7580660 relations and 6580660 ideals in 1000000 cliques
  43. Fri Aug 4 11:39:18 2023 commencing in-memory singleton removal
  44. Fri Aug 4 11:39:18 2023 begin with 64462686 relations and 64905667 unique ideals
  45. Fri Aug 4 11:39:21 2023 reduce to 63853313 relations and 57704668 ideals in 11 passes
  46. Fri Aug 4 11:39:21 2023 max relations containing the same ideal: 104
  47. Fri Aug 4 11:39:39 2023 removing 5740982 relations and 4740982 ideals in 1000000 cliques
  48. Fri Aug 4 11:39:42 2023 commencing in-memory singleton removal
  49. Fri Aug 4 11:39:43 2023 begin with 58112331 relations and 57704668 unique ideals
  50. Fri Aug 4 11:39:45 2023 reduce to 57698684 relations and 52543453 ideals in 8 passes
  51. Fri Aug 4 11:39:45 2023 max relations containing the same ideal: 97
  52. Fri Aug 4 11:40:01 2023 removing 5195888 relations and 4195888 ideals in 1000000 cliques
  53. Fri Aug 4 11:40:04 2023 commencing in-memory singleton removal
  54. Fri Aug 4 11:40:05 2023 begin with 52502796 relations and 52543453 unique ideals
  55. Fri Aug 4 11:40:07 2023 reduce to 52125669 relations and 47964288 ideals in 10 passes
  56. Fri Aug 4 11:40:07 2023 max relations containing the same ideal: 94
  57. Fri Aug 4 11:40:21 2023 removing 4930122 relations and 3930122 ideals in 1000000 cliques
  58. Fri Aug 4 11:40:24 2023 commencing in-memory singleton removal
  59. Fri Aug 4 11:40:24 2023 begin with 47195547 relations and 47964288 unique ideals
  60. Fri Aug 4 11:40:26 2023 reduce to 46819128 relations and 43651286 ideals in 8 passes
  61. Fri Aug 4 11:40:26 2023 max relations containing the same ideal: 87
  62. Fri Aug 4 11:40:39 2023 removing 4777199 relations and 3777199 ideals in 1000000 cliques
  63. Fri Aug 4 11:40:41 2023 commencing in-memory singleton removal
  64. Fri Aug 4 11:40:42 2023 begin with 42041929 relations and 43651286 unique ideals
  65. Fri Aug 4 11:40:43 2023 reduce to 41648498 relations and 39473235 ideals in 9 passes
  66. Fri Aug 4 11:40:43 2023 max relations containing the same ideal: 80
  67. Fri Aug 4 11:40:55 2023 removing 4699324 relations and 3699324 ideals in 1000000 cliques
  68. Fri Aug 4 11:40:57 2023 commencing in-memory singleton removal
  69. Fri Aug 4 11:40:58 2023 begin with 36949174 relations and 39473235 unique ideals
  70. Fri Aug 4 11:40:59 2023 reduce to 36518306 relations and 35333962 ideals in 9 passes
  71. Fri Aug 4 11:40:59 2023 max relations containing the same ideal: 71
  72. Fri Aug 4 11:41:10 2023 removing 384876 relations and 337918 ideals in 46958 cliques
  73. Fri Aug 4 11:41:11 2023 commencing in-memory singleton removal
  74. Fri Aug 4 11:41:12 2023 begin with 36133430 relations and 35333962 unique ideals
  75. Fri Aug 4 11:41:13 2023 reduce to 36130624 relations and 34993233 ideals in 6 passes
  76. Fri Aug 4 11:41:13 2023 max relations containing the same ideal: 71
  77. Fri Aug 4 11:41:18 2023 relations with 0 large ideals: 37306
  78. Fri Aug 4 11:41:18 2023 relations with 1 large ideals: 19897
  79. Fri Aug 4 11:41:18 2023 relations with 2 large ideals: 253069
  80. Fri Aug 4 11:41:18 2023 relations with 3 large ideals: 1490579
  81. Fri Aug 4 11:41:18 2023 relations with 4 large ideals: 4710618
  82. Fri Aug 4 11:41:18 2023 relations with 5 large ideals: 8711790
  83. Fri Aug 4 11:41:18 2023 relations with 6 large ideals: 9792742
  84. Fri Aug 4 11:41:18 2023 relations with 7+ large ideals: 11114623
  85. Fri Aug 4 11:41:18 2023 commencing 2-way merge
  86. Fri Aug 4 11:41:35 2023 reduce to 21477998 relation sets and 20340607 unique ideals
  87. Fri Aug 4 11:41:35 2023 commencing full merge
  88. Fri Aug 4 11:47:26 2023 memory use: 2591.2 MB
  89. Fri Aug 4 11:47:28 2023 found 9781434 cycles, need 9690807
  90. Fri Aug 4 11:47:31 2023 weight of 9690807 cycles is about 1066384946 (110.04/cycle)
  91. Fri Aug 4 11:47:31 2023 distribution of cycle lengths:
  92. Fri Aug 4 11:47:31 2023 1 relations: 807615
  93. Fri Aug 4 11:47:31 2023 2 relations: 749854
  94. Fri Aug 4 11:47:31 2023 3 relations: 757290
  95. Fri Aug 4 11:47:31 2023 4 relations: 730729
  96. Fri Aug 4 11:47:31 2023 5 relations: 711152
  97. Fri Aug 4 11:47:31 2023 6 relations: 683151
  98. Fri Aug 4 11:47:31 2023 7 relations: 642218
  99. Fri Aug 4 11:47:31 2023 8 relations: 604767
  100. Fri Aug 4 11:47:31 2023 9 relations: 558502
  101. Fri Aug 4 11:47:31 2023 10+ relations: 3445529
  102. Fri Aug 4 11:47:31 2023 heaviest cycle: 28 relations
  103. Fri Aug 4 11:47:35 2023 commencing cycle optimization
  104. Fri Aug 4 11:47:50 2023 start with 78926038 relations
  105. Fri Aug 4 11:50:00 2023 pruned 2761862 relations
  106. Fri Aug 4 11:50:00 2023 memory use: 2272.9 MB
  107. Fri Aug 4 11:50:00 2023 distribution of cycle lengths:
  108. Fri Aug 4 11:50:00 2023 1 relations: 807615
  109. Fri Aug 4 11:50:00 2023 2 relations: 765940
  110. Fri Aug 4 11:50:00 2023 3 relations: 783651
  111. Fri Aug 4 11:50:00 2023 4 relations: 754586
  112. Fri Aug 4 11:50:00 2023 5 relations: 738304
  113. Fri Aug 4 11:50:00 2023 6 relations: 706448
  114. Fri Aug 4 11:50:00 2023 7 relations: 665431
  115. Fri Aug 4 11:50:00 2023 8 relations: 622795
  116. Fri Aug 4 11:50:00 2023 9 relations: 574060
  117. Fri Aug 4 11:50:00 2023 10+ relations: 3271977
  118. Fri Aug 4 11:50:00 2023 heaviest cycle: 28 relations
  119. Fri Aug 4 11:50:16 2023 RelProcTime: 1283
  120. Fri Aug 4 11:50:16 2023 elapsed time 00:21:24
  121. Fri Aug 4 11:50:19 2023
  122. Fri Aug 4 11:50:19 2023
  123. Fri Aug 4 11:50:19 2023 Msieve v. 1.54 (SVN Unversioned directory)
  124. Fri Aug 4 11:50:19 2023 random seeds: 911eda1b 8f02cbc5
  125. Fri Aug 4 11:50:19 2023 MPI process 0 of 1
  126. Fri Aug 4 11:50:19 2023 Using 46 OpenMP threads
  127. Fri Aug 4 11:50:19 2023 factoring 1648769622153189998826034387967768399462566353950171458570490334790500035089753926684532037877149705310712299433703270570571980682170375361373537176095612689298007553862905880551 (178 digits)
  128. Fri Aug 4 11:50:20 2023 no P-1/P+1/ECM available, skipping
  129. Fri Aug 4 11:50:20 2023 commencing number field sieve (178-digit input)
  130. Fri Aug 4 11:50:20 2023 R0: 43556142965880123323311949751266331066368
  131. Fri Aug 4 11:50:20 2023 R1: -1
  132. Fri Aug 4 11:50:20 2023 A0: -2
  133. Fri Aug 4 11:50:20 2023 A1: 0
  134. Fri Aug 4 11:50:20 2023 A2: 0
  135. Fri Aug 4 11:50:20 2023 A3: 0
  136. Fri Aug 4 11:50:20 2023 A4: 0
  137. Fri Aug 4 11:50:20 2023 A5: 0
  138. Fri Aug 4 11:50:20 2023 A6: 5
  139. Fri Aug 4 11:50:20 2023 skew 0.86, size 3.385e-12, alpha 2.819, combined = 2.899e-13 rroots = 2
  140. Fri Aug 4 11:50:20 2023
  141. Fri Aug 4 11:50:20 2023 commencing linear algebra
  142. Fri Aug 4 11:50:20 2023 using VBITS=128
  143. Fri Aug 4 11:50:20 2023 stopping after matrix build
  144. Fri Aug 4 11:50:20 2023 initialized process (0,0) of 1 x 1 grid
  145. Fri Aug 4 11:50:22 2023 read 9690807 cycles
  146. Fri Aug 4 11:50:38 2023 cycles contain 35330452 unique relations
  147. Fri Aug 4 11:51:09 2023 read 35330452 relations
  148. Fri Aug 4 11:51:11 2023 using 20 quadratic characters above 4294917295
  149. Fri Aug 4 11:51:15 2023 building initial matrix
  150. Fri Aug 4 11:57:33 2023 memory use: 4342.7 MB
  151. Fri Aug 4 11:57:43 2023 read 9690807 cycles
  152. Fri Aug 4 11:57:44 2023 matrix is 9690627 x 9690807 (4212.9 MB) with weight 1203664466 (124.21/col)
  153. Fri Aug 4 11:57:44 2023 sparse part has weight 1007475538 (103.96/col)
  154. Fri Aug 4 11:59:20 2023 filtering completed in 2 passes
  155. Fri Aug 4 11:59:21 2023 matrix is 9688804 x 9688983 (4212.7 MB) with weight 1203599562 (124.22/col)
  156. Fri Aug 4 11:59:21 2023 sparse part has weight 1007448469 (103.98/col)
  157. Fri Aug 4 11:59:44 2023 BLanczosTime: 564
  158. Fri Aug 4 11:59:44 2023 elapsed time 00:09:25
  159. Fri Aug 4 11:59:45 2023
  160. Fri Aug 4 11:59:45 2023
  161. Fri Aug 4 11:59:45 2023 Msieve v. 1.54 (SVN Unversioned directory)
  162. Fri Aug 4 11:59:45 2023 random seeds: 1f6f6205 8f06789b
  163. Fri Aug 4 11:59:45 2023 MPI process 0 of 2
  164. Fri Aug 4 11:59:45 2023 Using 23 OpenMP threads
  165. Fri Aug 4 11:59:45 2023 factoring 1648769622153189998826034387967768399462566353950171458570490334790500035089753926684532037877149705310712299433703270570571980682170375361373537176095612689298007553862905880551 (178 digits)
  166. Fri Aug 4 11:59:46 2023 no P-1/P+1/ECM available, skipping
  167. Fri Aug 4 11:59:46 2023 commencing number field sieve (178-digit input)
  168. Fri Aug 4 11:59:46 2023 R0: 43556142965880123323311949751266331066368
  169. Fri Aug 4 11:59:46 2023 R1: -1
  170. Fri Aug 4 11:59:46 2023 A0: -2
  171. Fri Aug 4 11:59:46 2023 A1: 0
  172. Fri Aug 4 11:59:46 2023 A2: 0
  173. Fri Aug 4 11:59:46 2023 A3: 0
  174. Fri Aug 4 11:59:46 2023 A4: 0
  175. Fri Aug 4 11:59:46 2023 A5: 0
  176. Fri Aug 4 11:59:46 2023 A6: 5
  177. Fri Aug 4 11:59:46 2023 skew 0.86, size 3.385e-12, alpha 2.819, combined = 2.899e-13 rroots = 2
  178. Fri Aug 4 11:59:46 2023
  179. Fri Aug 4 11:59:46 2023 commencing linear algebra
  180. Fri Aug 4 11:59:46 2023 using VBITS=256
  181. Fri Aug 4 11:59:46 2023 skipping matrix build
  182. Fri Aug 4 11:59:46 2023 initialized process (0,0) of 1 x 2 grid
  183. Fri Aug 4 11:59:49 2023 matrix starts at (0, 0)
  184. Fri Aug 4 11:59:50 2023 matrix is 9688804 x 4844466 (2106.4 MB) with weight 601813353 (124.23/col)
  185. Fri Aug 4 11:59:50 2023 sparse part has weight 503724361 (103.98/col)
  186. Fri Aug 4 11:59:50 2023 saving the first 240 matrix rows for later
  187. Fri Aug 4 11:59:51 2023 matrix includes 256 packed rows
  188. Fri Aug 4 11:59:53 2023 matrix is 9688564 x 4844466 (1967.0 MB) with weight 461268444 (95.22/col)
  189. Fri Aug 4 11:59:53 2023 sparse part has weight 438124065 (90.44/col)
  190. Fri Aug 4 11:59:53 2023 using GPU 0 (Tesla T4)
  191. Fri Aug 4 11:59:53 2023 selected card has CUDA arch 7.5
  192. Fri Aug 4 12:00:37 2023 commencing Lanczos iteration
  193. Fri Aug 4 12:00:38 2023 memory use: 5024.3 MB
  194. Fri Aug 4 12:01:46 2023 linear algebra at 0.3%, ETA 5h57m
  195. Fri Aug 4 12:03:30 2023 checking every 20000 dimensions, checkpointing every 1620000 dimensions
  196. Fri Aug 4 18:01:20 2023 lanczos halted after 37961 iterations (dim = 9688557)
  197. Fri Aug 4 18:02:08 2023 recovered 34 nontrivial dependencies
  198. Fri Aug 4 18:02:09 2023 BLanczosTime: 21743
  199. Fri Aug 4 18:02:09 2023 elapsed time 06:02:24
  200. Fri Aug 4 18:02:10 2023
  201. Fri Aug 4 18:02:10 2023
  202. Fri Aug 4 18:02:10 2023 Msieve v. 1.54 (SVN Unversioned directory)
  203. Fri Aug 4 18:02:10 2023 random seeds: 36dc5d06 661b2da5
  204. Fri Aug 4 18:02:10 2023 MPI process 0 of 1
  205. Fri Aug 4 18:02:10 2023 Using 32 OpenMP threads
  206. Fri Aug 4 18:02:10 2023 factoring 1648769622153189998826034387967768399462566353950171458570490334790500035089753926684532037877149705310712299433703270570571980682170375361373537176095612689298007553862905880551 (178 digits)
  207. Fri Aug 4 18:02:11 2023 no P-1/P+1/ECM available, skipping
  208. Fri Aug 4 18:02:11 2023 commencing number field sieve (178-digit input)
  209. Fri Aug 4 18:02:11 2023 R0: 43556142965880123323311949751266331066368
  210. Fri Aug 4 18:02:11 2023 R1: -1
  211. Fri Aug 4 18:02:11 2023 A0: -2
  212. Fri Aug 4 18:02:11 2023 A1: 0
  213. Fri Aug 4 18:02:11 2023 A2: 0
  214. Fri Aug 4 18:02:11 2023 A3: 0
  215. Fri Aug 4 18:02:11 2023 A4: 0
  216. Fri Aug 4 18:02:11 2023 A5: 0
  217. Fri Aug 4 18:02:11 2023 A6: 5
  218. Fri Aug 4 18:02:11 2023 skew 0.86, size 3.385e-12, alpha 2.819, combined = 2.899e-13 rroots = 2
  219. Fri Aug 4 18:02:11 2023
  220. Fri Aug 4 18:02:11 2023 commencing square root phase
  221. Fri Aug 4 18:02:11 2023 reading relations for dependency 1
  222. Fri Aug 4 18:02:12 2023 read 4844875 cycles
  223. Fri Aug 4 18:02:20 2023 cycles contain 17666858 unique relations
  224. Fri Aug 4 18:02:47 2023 read 17666858 relations
  225. Fri Aug 4 18:03:59 2023 multiplying 17666858 relations
  226. Fri Aug 4 18:05:03 2023 multiply complete, coefficients have about 486.03 million bits
  227. Fri Aug 4 18:05:04 2023 initial square root is modulo 526002247
  228. Fri Aug 4 18:08:09 2023 GCD is 1, no factor found
  229. Fri Aug 4 18:08:09 2023 reading relations for dependency 2
  230. Fri Aug 4 18:08:11 2023 read 4842343 cycles
  231. Fri Aug 4 18:08:20 2023 cycles contain 17658962 unique relations
  232. Fri Aug 4 18:08:41 2023 read 17658962 relations
  233. Fri Aug 4 18:09:51 2023 multiplying 17658962 relations
  234. Fri Aug 4 18:10:57 2023 multiply complete, coefficients have about 485.82 million bits
  235. Fri Aug 4 18:10:59 2023 initial square root is modulo 521335537
  236. Fri Aug 4 18:14:04 2023 sqrtTime: 713
  237. Fri Aug 4 18:14:05 2023 p55 factor: 6592756087721014194439951435008108382566145981807974557
  238. Fri Aug 4 18:14:05 2023 p123 factor: 250088066389111196781250536860316139919733851189000619277345192434722199241770987801914249378623276189436394947567950997843
  239. Fri Aug 4 18:14:05 2023 elapsed time 00:11:55
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