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May 26th, 2022
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  1. Wed May 25 07:45:43 2022
  2. Wed May 25 07:45:43 2022 Msieve v. 1.54 (SVN Unversioned directory)
  3. Wed May 25 07:45:43 2022 random seeds: e4c45832 bef6bb09
  4. Wed May 25 07:45:43 2022 factoring 5386034475825977784639532712658142241050865734904789870096347661960357375274376225991245146801624618813464253079181032025146776058727283744627510364308825014603977230179027162761 (178 digits)
  5. Wed May 25 07:45:44 2022 no P-1/P+1/ECM available, skipping
  6. Wed May 25 07:45:44 2022 commencing number field sieve (178-digit input)
  7. Wed May 25 07:45:44 2022 R0: 1268240401826092387821095571115184964127
  8. Wed May 25 07:45:44 2022 R1: -1
  9. Wed May 25 07:45:44 2022 A0: 1
  10. Wed May 25 07:45:44 2022 A1: 1
  11. Wed May 25 07:45:44 2022 A2: 1
  12. Wed May 25 07:45:44 2022 A3: 1
  13. Wed May 25 07:45:44 2022 A4: 1
  14. Wed May 25 07:45:44 2022 A5: 1
  15. Wed May 25 07:45:44 2022 A6: 1
  16. Wed May 25 07:45:44 2022 skew 1.00, size 1.308e-11, alpha 2.428, combined = 7.761e-13 rroots = 0
  17. Wed May 25 07:45:44 2022
  18. Wed May 25 07:45:44 2022 commencing relation filtering
  19. Wed May 25 07:45:44 2022 setting target matrix density to 112.0
  20. Wed May 25 07:45:44 2022 estimated available RAM is 15958.5 MB
  21. Wed May 25 07:45:44 2022 commencing duplicate removal, pass 1
  22. Wed May 25 08:10:30 2022 skipped 18 relations with b > 2^32
  23. Wed May 25 08:10:30 2022 skipped 3 relations with composite factors
  24. Wed May 25 08:10:30 2022 found 5302366 hash collisions in 110430801 relations
  25. Wed May 25 08:10:30 2022 commencing duplicate removal, pass 2
  26. Wed May 25 08:11:41 2022 found 0 duplicates and 110430801 unique relations
  27. Wed May 25 08:11:41 2022 memory use: 378.4 MB
  28. Wed May 25 08:11:41 2022 reading ideals above 95879168
  29. Wed May 25 08:11:41 2022 commencing singleton removal, initial pass
  30. Wed May 25 08:34:33 2022 memory use: 2756.0 MB
  31. Wed May 25 08:34:33 2022 reading all ideals from disk
  32. Wed May 25 08:34:37 2022 memory use: 1941.1 MB
  33. Wed May 25 08:35:04 2022 commencing in-memory singleton removal
  34. Wed May 25 08:35:32 2022 begin with 110430801 relations and 84276777 unique ideals
  35. Wed May 25 08:41:39 2022 reduce to 81419422 relations and 52945859 ideals in 12 passes
  36. Wed May 25 08:41:39 2022 max relations containing the same ideal: 43
  37. Wed May 25 08:42:00 2022 reading ideals above 720000
  38. Wed May 25 08:42:00 2022 commencing singleton removal, initial pass
  39. Wed May 25 09:07:30 2022 memory use: 1506.0 MB
  40. Wed May 25 09:07:30 2022 reading all ideals from disk
  41. Wed May 25 09:07:36 2022 memory use: 3112.8 MB
  42. Wed May 25 09:08:17 2022 keeping 63613084 ideals with weight <= 200, target excess is 406659
  43. Wed May 25 09:09:04 2022 commencing in-memory singleton removal
  44. Wed May 25 09:09:37 2022 begin with 81419423 relations and 63613084 unique ideals
  45. Wed May 25 09:11:47 2022 reduce to 81419282 relations and 63612943 ideals in 3 passes
  46. Wed May 25 09:11:47 2022 max relations containing the same ideal: 200
  47. Wed May 25 09:14:30 2022 removing 8048732 relations and 6048732 ideals in 2000000 cliques
  48. Wed May 25 09:14:37 2022 commencing in-memory singleton removal
  49. Wed May 25 09:15:06 2022 begin with 73370550 relations and 63612943 unique ideals
  50. Wed May 25 09:19:13 2022 reduce to 72701169 relations and 56873981 ideals in 7 passes
  51. Wed May 25 09:19:13 2022 max relations containing the same ideal: 195
  52. Wed May 25 09:21:26 2022 removing 6493502 relations and 4493502 ideals in 2000000 cliques
  53. Wed May 25 09:21:33 2022 commencing in-memory singleton removal
  54. Wed May 25 09:21:57 2022 begin with 66207667 relations and 56873981 unique ideals
  55. Wed May 25 09:25:28 2022 reduce to 65730577 relations and 51889800 ideals in 7 passes
  56. Wed May 25 09:25:28 2022 max relations containing the same ideal: 184
  57. Wed May 25 09:27:26 2022 removing 6089876 relations and 4089876 ideals in 2000000 cliques
  58. Wed May 25 09:27:32 2022 commencing in-memory singleton removal
  59. Wed May 25 09:27:53 2022 begin with 59640701 relations and 51889800 unique ideals
  60. Wed May 25 09:30:55 2022 reduce to 59199423 relations and 47345705 ideals in 7 passes
  61. Wed May 25 09:30:55 2022 max relations containing the same ideal: 172
  62. Wed May 25 09:32:39 2022 removing 5895053 relations and 3895053 ideals in 2000000 cliques
  63. Wed May 25 09:32:45 2022 commencing in-memory singleton removal
  64. Wed May 25 09:33:02 2022 begin with 53304370 relations and 47345705 unique ideals
  65. Wed May 25 09:35:35 2022 reduce to 52862725 relations and 42995337 ideals in 7 passes
  66. Wed May 25 09:35:35 2022 max relations containing the same ideal: 159
  67. Wed May 25 09:36:56 2022 removing 5796352 relations and 3796352 ideals in 2000000 cliques
  68. Wed May 25 09:37:02 2022 commencing in-memory singleton removal
  69. Wed May 25 09:37:17 2022 begin with 47066373 relations and 42995337 unique ideals
  70. Wed May 25 09:39:32 2022 reduce to 46599706 relations and 38716224 ideals in 7 passes
  71. Wed May 25 09:39:32 2022 max relations containing the same ideal: 147
  72. Wed May 25 09:40:45 2022 removing 5754522 relations and 3754522 ideals in 2000000 cliques
  73. Wed May 25 09:40:50 2022 commencing in-memory singleton removal
  74. Wed May 25 09:41:04 2022 begin with 40845184 relations and 38716224 unique ideals
  75. Wed May 25 09:43:00 2022 reduce to 40333640 relations and 34430790 ideals in 7 passes
  76. Wed May 25 09:43:00 2022 max relations containing the same ideal: 135
  77. Wed May 25 09:44:03 2022 removing 5747436 relations and 3747436 ideals in 2000000 cliques
  78. Wed May 25 09:44:08 2022 commencing in-memory singleton removal
  79. Wed May 25 09:44:19 2022 begin with 34586204 relations and 34430790 unique ideals
  80. Wed May 25 09:45:57 2022 reduce to 34009088 relations and 30080731 ideals in 7 passes
  81. Wed May 25 09:45:57 2022 max relations containing the same ideal: 120
  82. Wed May 25 09:46:49 2022 removing 5763023 relations and 3763023 ideals in 2000000 cliques
  83. Wed May 25 09:46:54 2022 commencing in-memory singleton removal
  84. Wed May 25 09:47:03 2022 begin with 28246065 relations and 30080731 unique ideals
  85. Wed May 25 09:48:33 2022 reduce to 27562121 relations and 25598492 ideals in 8 passes
  86. Wed May 25 09:48:33 2022 max relations containing the same ideal: 101
  87. Wed May 25 09:49:17 2022 removing 4569885 relations and 3077981 ideals in 1491904 cliques
  88. Wed May 25 09:49:21 2022 commencing in-memory singleton removal
  89. Wed May 25 09:49:28 2022 begin with 22992236 relations and 25598492 unique ideals
  90. Wed May 25 09:50:33 2022 reduce to 22426655 relations and 21927097 ideals in 7 passes
  91. Wed May 25 09:50:33 2022 max relations containing the same ideal: 91
  92. Wed May 25 09:51:08 2022 removing 172929 relations and 145096 ideals in 27833 cliques
  93. Wed May 25 09:51:11 2022 commencing in-memory singleton removal
  94. Wed May 25 09:51:18 2022 begin with 22253726 relations and 21927097 unique ideals
  95. Wed May 25 09:52:03 2022 reduce to 22252670 relations and 21780944 ideals in 5 passes
  96. Wed May 25 09:52:03 2022 max relations containing the same ideal: 90
  97. Wed May 25 09:52:13 2022 relations with 0 large ideals: 31144
  98. Wed May 25 09:52:13 2022 relations with 1 large ideals: 4829
  99. Wed May 25 09:52:13 2022 relations with 2 large ideals: 56084
  100. Wed May 25 09:52:13 2022 relations with 3 large ideals: 404709
  101. Wed May 25 09:52:13 2022 relations with 4 large ideals: 1609354
  102. Wed May 25 09:52:13 2022 relations with 5 large ideals: 3822915
  103. Wed May 25 09:52:13 2022 relations with 6 large ideals: 5680439
  104. Wed May 25 09:52:13 2022 relations with 7+ large ideals: 10643196
  105. Wed May 25 09:52:13 2022 commencing 2-way merge
  106. Wed May 25 09:52:59 2022 reduce to 15288142 relation sets and 14816416 unique ideals
  107. Wed May 25 09:52:59 2022 commencing full merge
  108. Wed May 25 10:11:40 2022 memory use: 2045.7 MB
  109. Wed May 25 10:11:46 2022 found 6953059 cycles, need 6950616
  110. Wed May 25 10:11:52 2022 weight of 6950616 cycles is about 778786453 (112.05/cycle)
  111. Wed May 25 10:11:52 2022 distribution of cycle lengths:
  112. Wed May 25 10:11:52 2022 1 relations: 314956
  113. Wed May 25 10:11:52 2022 2 relations: 432638
  114. Wed May 25 10:11:52 2022 3 relations: 511005
  115. Wed May 25 10:11:52 2022 4 relations: 527978
  116. Wed May 25 10:11:52 2022 5 relations: 540665
  117. Wed May 25 10:11:52 2022 6 relations: 530676
  118. Wed May 25 10:11:52 2022 7 relations: 513292
  119. Wed May 25 10:11:52 2022 8 relations: 483778
  120. Wed May 25 10:11:52 2022 9 relations: 447872
  121. Wed May 25 10:11:52 2022 10+ relations: 2647756
  122. Wed May 25 10:11:52 2022 heaviest cycle: 28 relations
  123. Wed May 25 10:11:58 2022 commencing cycle optimization
  124. Wed May 25 10:12:54 2022 start with 60615558 relations
  125. Wed May 25 10:19:23 2022 pruned 2989225 relations
  126. Wed May 25 10:19:23 2022 memory use: 1552.5 MB
  127. Wed May 25 10:19:23 2022 distribution of cycle lengths:
  128. Wed May 25 10:19:23 2022 1 relations: 314956
  129. Wed May 25 10:19:23 2022 2 relations: 442822
  130. Wed May 25 10:19:23 2022 3 relations: 532297
  131. Wed May 25 10:19:23 2022 4 relations: 551143
  132. Wed May 25 10:19:23 2022 5 relations: 569193
  133. Wed May 25 10:19:23 2022 6 relations: 558155
  134. Wed May 25 10:19:23 2022 7 relations: 541916
  135. Wed May 25 10:19:23 2022 8 relations: 508546
  136. Wed May 25 10:19:23 2022 9 relations: 469146
  137. Wed May 25 10:19:23 2022 10+ relations: 2462442
  138. Wed May 25 10:19:23 2022 heaviest cycle: 28 relations
  139. Wed May 25 10:20:01 2022 RelProcTime: 9257
  140. Wed May 25 10:20:01 2022 elapsed time 02:34:18
  141. Wed May 25 10:20:30 2022
  142. Wed May 25 10:20:30 2022
  143. Wed May 25 10:20:30 2022 Msieve v. 1.54 (SVN Unversioned directory)
  144. Wed May 25 10:20:30 2022 random seeds: ee28aec2 3f6f60a7
  145. Wed May 25 10:20:30 2022 factoring 5386034475825977784639532712658142241050865734904789870096347661960357375274376225991245146801624618813464253079181032025146776058727283744627510364308825014603977230179027162761 (178 digits)
  146. Wed May 25 10:20:31 2022 no P-1/P+1/ECM available, skipping
  147. Wed May 25 10:20:31 2022 commencing number field sieve (178-digit input)
  148. Wed May 25 10:20:31 2022 R0: 1268240401826092387821095571115184964127
  149. Wed May 25 10:20:31 2022 R1: -1
  150. Wed May 25 10:20:31 2022 A0: 1
  151. Wed May 25 10:20:31 2022 A1: 1
  152. Wed May 25 10:20:31 2022 A2: 1
  153. Wed May 25 10:20:31 2022 A3: 1
  154. Wed May 25 10:20:31 2022 A4: 1
  155. Wed May 25 10:20:31 2022 A5: 1
  156. Wed May 25 10:20:31 2022 A6: 1
  157. Wed May 25 10:20:31 2022 skew 1.00, size 1.308e-11, alpha 2.428, combined = 7.761e-13 rroots = 0
  158. Wed May 25 10:20:31 2022
  159. Wed May 25 10:20:31 2022 commencing linear algebra
  160. Wed May 25 10:20:31 2022 using VBITS=256
  161. Wed May 25 10:20:33 2022 read 6950616 cycles
  162. Wed May 25 10:21:19 2022 cycles contain 22012952 unique relations
  163. Wed May 25 10:24:50 2022 read 22012952 relations
  164. Wed May 25 10:26:36 2022 using 20 quadratic characters above 4294917295
  165. Wed May 25 10:28:36 2022 building initial matrix
  166. Wed May 25 10:45:14 2022 memory use: 2746.0 MB
  167. Wed May 25 10:45:24 2022 read 6950616 cycles
  168. Wed May 25 10:45:26 2022 matrix is 6950439 x 6950616 (3060.9 MB) with weight 871164191 (125.34/col)
  169. Wed May 25 10:45:26 2022 sparse part has weight 725945001 (104.44/col)
  170. Wed May 25 10:50:21 2022 filtering completed in 2 passes
  171. Wed May 25 10:50:24 2022 matrix is 6950379 x 6950543 (3060.9 MB) with weight 871162258 (125.34/col)
  172. Wed May 25 10:50:24 2022 sparse part has weight 725944528 (104.44/col)
  173. Wed May 25 10:51:22 2022 matrix starts at (0, 0)
  174. Wed May 25 10:51:25 2022 matrix is 6950379 x 6950543 (3060.9 MB) with weight 871162258 (125.34/col)
  175. Wed May 25 10:51:25 2022 sparse part has weight 725944528 (104.44/col)
  176. Wed May 25 10:51:25 2022 saving the first 240 matrix rows for later
  177. Wed May 25 10:51:29 2022 matrix includes 256 packed rows
  178. Wed May 25 10:51:36 2022 matrix is 6950139 x 6950543 (2809.5 MB) with weight 660589123 (95.04/col)
  179. Wed May 25 10:51:36 2022 sparse part has weight 625278746 (89.96/col)
  180. Wed May 25 10:51:37 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  181. Wed May 25 10:51:37 2022 selected card has CUDA arch 7.5
  182. Wed May 25 10:54:21 2022 commencing Lanczos iteration
  183. Wed May 25 10:54:42 2022
  184. Wed May 25 10:54:42 2022
  185. Wed May 25 10:54:42 2022 Msieve v. 1.54 (SVN Unversioned directory)
  186. Wed May 25 10:54:42 2022 random seeds: 05f6205e ea5fa564
  187. Wed May 25 10:54:42 2022 factoring 5386034475825977784639532712658142241050865734904789870096347661960357375274376225991245146801624618813464253079181032025146776058727283744627510364308825014603977230179027162761 (178 digits)
  188. Wed May 25 10:54:43 2022 no P-1/P+1/ECM available, skipping
  189. Wed May 25 10:54:43 2022 commencing number field sieve (178-digit input)
  190. Wed May 25 10:54:43 2022 R0: 1268240401826092387821095571115184964127
  191. Wed May 25 10:54:43 2022 R1: -1
  192. Wed May 25 10:54:43 2022 A0: 1
  193. Wed May 25 10:54:43 2022 A1: 1
  194. Wed May 25 10:54:43 2022 A2: 1
  195. Wed May 25 10:54:43 2022 A3: 1
  196. Wed May 25 10:54:43 2022 A4: 1
  197. Wed May 25 10:54:43 2022 A5: 1
  198. Wed May 25 10:54:43 2022 A6: 1
  199. Wed May 25 10:54:43 2022 skew 1.00, size 1.308e-11, alpha 2.428, combined = 7.761e-13 rroots = 0
  200. Wed May 25 10:54:43 2022
  201. Wed May 25 10:54:43 2022 commencing linear algebra
  202. Wed May 25 10:54:43 2022 using VBITS=256
  203. Wed May 25 10:54:43 2022 skipping matrix build
  204. Wed May 25 10:54:49 2022 matrix starts at (0, 0)
  205. Wed May 25 10:54:52 2022 matrix is 6950379 x 6950543 (3060.9 MB) with weight 871162258 (125.34/col)
  206. Wed May 25 10:54:52 2022 sparse part has weight 725944528 (104.44/col)
  207. Wed May 25 10:54:52 2022 saving the first 240 matrix rows for later
  208. Wed May 25 10:54:58 2022 matrix includes 256 packed rows
  209. Wed May 25 10:55:04 2022 matrix is 6950139 x 6950543 (2809.5 MB) with weight 660589123 (95.04/col)
  210. Wed May 25 10:55:04 2022 sparse part has weight 625278746 (89.96/col)
  211. Wed May 25 10:55:05 2022 using GPU 0 (NVIDIA GeForce GTX 1660)
  212. Wed May 25 10:55:05 2022 selected card has CUDA arch 7.5
  213. Wed May 25 10:57:54 2022 commencing Lanczos iteration
  214. Wed May 25 10:57:56 2022 memory use: 6520.4 MB
  215. Wed May 25 10:59:55 2022 linear algebra at 0.1%, ETA 28h42m
  216. Wed May 25 10:59:59 2022 checkpointing every 250000 dimensions
  217. Thu May 26 12:31:26 2022 lanczos halted after 27232 iterations (dim = 6950137)
  218. Thu May 26 12:33:01 2022 recovered 38 nontrivial dependencies
  219. Thu May 26 12:33:02 2022 BLanczosTime: 92299
  220. Thu May 26 12:33:02 2022 elapsed time 25:38:20
  221. Thu May 26 12:33:14 2022
  222. Thu May 26 12:33:14 2022
  223. Thu May 26 12:33:14 2022 Msieve v. 1.54 (SVN Unversioned directory)
  224. Thu May 26 12:33:14 2022 random seeds: f1ea3545 c9c234d1
  225. Thu May 26 12:33:14 2022 factoring 5386034475825977784639532712658142241050865734904789870096347661960357375274376225991245146801624618813464253079181032025146776058727283744627510364308825014603977230179027162761 (178 digits)
  226. Thu May 26 12:33:15 2022 no P-1/P+1/ECM available, skipping
  227. Thu May 26 12:33:15 2022 commencing number field sieve (178-digit input)
  228. Thu May 26 12:33:15 2022 R0: 1268240401826092387821095571115184964127
  229. Thu May 26 12:33:15 2022 R1: -1
  230. Thu May 26 12:33:15 2022 A0: 1
  231. Thu May 26 12:33:15 2022 A1: 1
  232. Thu May 26 12:33:15 2022 A2: 1
  233. Thu May 26 12:33:15 2022 A3: 1
  234. Thu May 26 12:33:15 2022 A4: 1
  235. Thu May 26 12:33:15 2022 A5: 1
  236. Thu May 26 12:33:15 2022 A6: 1
  237. Thu May 26 12:33:15 2022 skew 1.00, size 1.308e-11, alpha 2.428, combined = 7.761e-13 rroots = 0
  238. Thu May 26 12:33:15 2022
  239. Thu May 26 12:33:15 2022 commencing square root phase
  240. Thu May 26 12:33:15 2022 reading relations for dependency 1
  241. Thu May 26 12:33:17 2022 read 3474766 cycles
  242. Thu May 26 12:33:41 2022 cycles contain 11005260 unique relations
  243. Thu May 26 12:35:37 2022 read 11005260 relations
  244. Thu May 26 12:37:46 2022 multiplying 11005260 relations
  245. Thu May 26 12:52:44 2022 multiply complete, coefficients have about 270.79 million bits
  246. Thu May 26 12:52:48 2022 initial square root is modulo 72271
  247. Thu May 26 13:11:24 2022 sqrtTime: 2289
  248. Thu May 26 13:11:24 2022 p73 factor: 1389370807537644850457220186716158435702624687245915808336684977801386389
  249. Thu May 26 13:11:24 2022 p106 factor: 3876599714493456973044198680302223391853977361111696109004364392838186145973313523108830715065226722317349
  250. Thu May 26 13:11:24 2022 elapsed time 00:38:10
  251.  
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