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Feb 12th, 2025
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  1. Wed Feb 12 01:01:15 2025
  2. Wed Feb 12 01:01:15 2025
  3. Wed Feb 12 01:01:15 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Feb 12 01:01:15 2025 random seeds: e79192ad 895ec03c
  5. Wed Feb 12 01:01:15 2025 MPI process 0 of 1
  6. Wed Feb 12 01:01:15 2025 Using 32 OpenMP threads
  7. Wed Feb 12 01:01:15 2025 factoring 911292588150048412379651381501450645526527480347502290771469352519827011332123335513682216204960747099377080957348005985567283354857873722861569798242358375746712376269 (168 digits)
  8. Wed Feb 12 01:01:16 2025 searching for 15-digit factors
  9. Wed Feb 12 01:01:17 2025 commencing number field sieve (168-digit input)
  10. Wed Feb 12 01:01:17 2025 R0: -330631806753840690539807459721393
  11. Wed Feb 12 01:01:17 2025 R1: 211646227056940507
  12. Wed Feb 12 01:01:17 2025 A0: 22859106152310527067559822896417713308759400
  13. Wed Feb 12 01:01:17 2025 A1: -279450339217816283716501998485029050
  14. Wed Feb 12 01:01:17 2025 A2: -70375967705059390607789397901
  15. Wed Feb 12 01:01:17 2025 A3: -565982422900547837706
  16. Wed Feb 12 01:01:17 2025 A4: 47241894904352
  17. Wed Feb 12 01:01:17 2025 A5: 230640
  18. Wed Feb 12 01:01:17 2025 skew 48608422.49, size 1.999e-16, alpha -9.252, combined = 4.287e-13 rroots = 3
  19. Wed Feb 12 01:01:17 2025
  20. Wed Feb 12 01:01:17 2025 commencing relation filtering
  21. Wed Feb 12 01:01:17 2025 setting target matrix density to 110.0
  22. Wed Feb 12 01:01:17 2025 estimated available RAM is 257736.5 MB
  23. Wed Feb 12 01:01:17 2025 commencing duplicate removal, pass 1
  24. Wed Feb 12 01:04:39 2025 error -15 reading relation 94924575
  25. Wed Feb 12 01:04:46 2025 error -1 reading relation 97627413
  26. Wed Feb 12 01:04:51 2025 error -1 reading relation 99293620
  27. Wed Feb 12 01:04:57 2025 error -1 reading relation 102150832
  28. Wed Feb 12 01:05:31 2025 error -1 reading relation 118530642
  29. Wed Feb 12 01:06:16 2025 error -1 reading relation 140827266
  30. Wed Feb 12 01:06:21 2025 error -1 reading relation 143300065
  31. Wed Feb 12 01:06:27 2025 error -1 reading relation 145827504
  32. Wed Feb 12 01:07:22 2025 error -1 reading relation 170680921
  33. Wed Feb 12 01:08:08 2025 error -1 reading relation 189979793
  34. Wed Feb 12 01:08:27 2025 error -1 reading relation 198440920
  35. Wed Feb 12 01:10:25 2025 error -1 reading relation 251732902
  36. Wed Feb 12 01:10:28 2025 error -1 reading relation 253016870
  37. Wed Feb 12 01:10:37 2025 error -1 reading relation 257380245
  38. Wed Feb 12 01:10:49 2025 error -1 reading relation 262823428
  39. Wed Feb 12 01:10:57 2025 error -5 reading relation 267272565
  40. Wed Feb 12 01:11:01 2025 skipped 153 malformed relations
  41. Wed Feb 12 01:11:01 2025 found 59508708 hash collisions in 269269945 relations
  42. Wed Feb 12 01:11:33 2025 commencing duplicate removal, pass 2
  43. Wed Feb 12 01:19:26 2025 found 60966381 duplicates and 208303564 unique relations
  44. Wed Feb 12 01:19:26 2025 memory use: 1449.5 MB
  45. Wed Feb 12 01:19:26 2025 reading ideals above 720000
  46. Wed Feb 12 01:19:26 2025 commencing singleton removal, initial pass
  47. Wed Feb 12 01:38:59 2025 memory use: 6024.0 MB
  48. Wed Feb 12 01:39:00 2025 reading all ideals from disk
  49. Wed Feb 12 01:39:06 2025 memory use: 9591.0 MB
  50. Wed Feb 12 01:39:42 2025 keeping 217569399 ideals with weight <= 200, target excess is 1020242
  51. Wed Feb 12 01:40:27 2025 commencing in-memory singleton removal
  52. Wed Feb 12 01:40:31 2025 begin with 208303564 relations and 217569399 unique ideals
  53. Wed Feb 12 01:40:51 2025 reduce to 92904210 relations and 85157599 ideals in 21 passes
  54. Wed Feb 12 01:40:51 2025 max relations containing the same ideal: 121
  55. Wed Feb 12 01:41:53 2025 removing 8898066 relations and 7898066 ideals in 1000000 cliques
  56. Wed Feb 12 01:41:58 2025 commencing in-memory singleton removal
  57. Wed Feb 12 01:41:59 2025 begin with 84006144 relations and 85157599 unique ideals
  58. Wed Feb 12 01:42:06 2025 reduce to 83273114 relations and 76515300 ideals in 11 passes
  59. Wed Feb 12 01:42:06 2025 max relations containing the same ideal: 113
  60. Wed Feb 12 01:42:58 2025 removing 6674012 relations and 5674012 ideals in 1000000 cliques
  61. Wed Feb 12 01:43:03 2025 commencing in-memory singleton removal
  62. Wed Feb 12 01:43:04 2025 begin with 76599102 relations and 76515300 unique ideals
  63. Wed Feb 12 01:43:10 2025 reduce to 76125012 relations and 70360976 ideals in 10 passes
  64. Wed Feb 12 01:43:10 2025 max relations containing the same ideal: 108
  65. Wed Feb 12 01:43:59 2025 removing 5995479 relations and 4995479 ideals in 1000000 cliques
  66. Wed Feb 12 01:44:02 2025 commencing in-memory singleton removal
  67. Wed Feb 12 01:44:03 2025 begin with 70129533 relations and 70360976 unique ideals
  68. Wed Feb 12 01:44:08 2025 reduce to 69705579 relations and 64935938 ideals in 9 passes
  69. Wed Feb 12 01:44:08 2025 max relations containing the same ideal: 105
  70. Wed Feb 12 01:44:52 2025 removing 5661275 relations and 4661275 ideals in 1000000 cliques
  71. Wed Feb 12 01:44:56 2025 commencing in-memory singleton removal
  72. Wed Feb 12 01:44:57 2025 begin with 64044304 relations and 64935938 unique ideals
  73. Wed Feb 12 01:45:02 2025 reduce to 63628723 relations and 59853344 ideals in 10 passes
  74. Wed Feb 12 01:45:02 2025 max relations containing the same ideal: 95
  75. Wed Feb 12 01:45:41 2025 removing 5470132 relations and 4470132 ideals in 1000000 cliques
  76. Wed Feb 12 01:45:45 2025 commencing in-memory singleton removal
  77. Wed Feb 12 01:45:46 2025 begin with 58158591 relations and 59853344 unique ideals
  78. Wed Feb 12 01:45:50 2025 reduce to 57729848 relations and 54948165 ideals in 9 passes
  79. Wed Feb 12 01:45:50 2025 max relations containing the same ideal: 92
  80. Wed Feb 12 01:46:28 2025 removing 5374967 relations and 4374967 ideals in 1000000 cliques
  81. Wed Feb 12 01:46:31 2025 commencing in-memory singleton removal
  82. Wed Feb 12 01:46:31 2025 begin with 52354881 relations and 54948165 unique ideals
  83. Wed Feb 12 01:46:35 2025 reduce to 51893456 relations and 50104413 ideals in 9 passes
  84. Wed Feb 12 01:46:35 2025 max relations containing the same ideal: 85
  85. Wed Feb 12 01:47:09 2025 removing 3605688 relations and 3000126 ideals in 605562 cliques
  86. Wed Feb 12 01:47:11 2025 commencing in-memory singleton removal
  87. Wed Feb 12 01:47:12 2025 begin with 48287768 relations and 50104413 unique ideals
  88. Wed Feb 12 01:47:15 2025 reduce to 48067246 relations and 46881453 ideals in 8 passes
  89. Wed Feb 12 01:47:15 2025 max relations containing the same ideal: 78
  90. Wed Feb 12 01:47:53 2025 relations with 0 large ideals: 3706
  91. Wed Feb 12 01:47:53 2025 relations with 1 large ideals: 27424
  92. Wed Feb 12 01:47:53 2025 relations with 2 large ideals: 373779
  93. Wed Feb 12 01:47:53 2025 relations with 3 large ideals: 2171663
  94. Wed Feb 12 01:47:53 2025 relations with 4 large ideals: 6744617
  95. Wed Feb 12 01:47:53 2025 relations with 5 large ideals: 12260507
  96. Wed Feb 12 01:47:53 2025 relations with 6 large ideals: 13488500
  97. Wed Feb 12 01:47:53 2025 relations with 7+ large ideals: 12997050
  98. Wed Feb 12 01:47:53 2025 commencing 2-way merge
  99. Wed Feb 12 01:48:38 2025 reduce to 28201688 relation sets and 27015895 unique ideals
  100. Wed Feb 12 01:48:38 2025 commencing full merge
  101. Wed Feb 12 02:02:56 2025 memory use: 3039.6 MB
  102. Wed Feb 12 02:03:00 2025 found 12431754 cycles, need 12368095
  103. Wed Feb 12 02:03:05 2025 weight of 12368095 cycles is about 1360689635 (110.02/cycle)
  104. Wed Feb 12 02:03:05 2025 distribution of cycle lengths:
  105. Wed Feb 12 02:03:05 2025 1 relations: 1193398
  106. Wed Feb 12 02:03:05 2025 2 relations: 1006512
  107. Wed Feb 12 02:03:05 2025 3 relations: 986004
  108. Wed Feb 12 02:03:05 2025 4 relations: 929626
  109. Wed Feb 12 02:03:05 2025 5 relations: 894178
  110. Wed Feb 12 02:03:05 2025 6 relations: 829788
  111. Wed Feb 12 02:03:05 2025 7 relations: 790713
  112. Wed Feb 12 02:03:05 2025 8 relations: 727631
  113. Wed Feb 12 02:03:05 2025 9 relations: 665275
  114. Wed Feb 12 02:03:05 2025 10+ relations: 4344970
  115. Wed Feb 12 02:03:05 2025 heaviest cycle: 28 relations
  116. Wed Feb 12 02:03:10 2025 commencing cycle optimization
  117. Wed Feb 12 02:03:52 2025 start with 100139081 relations
  118. Wed Feb 12 02:09:10 2025 pruned 3126904 relations
  119. Wed Feb 12 02:09:10 2025 memory use: 2961.0 MB
  120. Wed Feb 12 02:09:10 2025 distribution of cycle lengths:
  121. Wed Feb 12 02:09:10 2025 1 relations: 1193398
  122. Wed Feb 12 02:09:10 2025 2 relations: 1031463
  123. Wed Feb 12 02:09:10 2025 3 relations: 1020964
  124. Wed Feb 12 02:09:10 2025 4 relations: 957858
  125. Wed Feb 12 02:09:10 2025 5 relations: 923029
  126. Wed Feb 12 02:09:10 2025 6 relations: 853433
  127. Wed Feb 12 02:09:10 2025 7 relations: 811994
  128. Wed Feb 12 02:09:10 2025 8 relations: 742876
  129. Wed Feb 12 02:09:10 2025 9 relations: 678460
  130. Wed Feb 12 02:09:10 2025 10+ relations: 4154620
  131. Wed Feb 12 02:09:10 2025 heaviest cycle: 28 relations
  132. Wed Feb 12 02:09:44 2025 RelProcTime: 4107
  133. Wed Feb 12 02:09:44 2025
  134. Wed Feb 12 02:09:44 2025 commencing linear algebra
  135. Wed Feb 12 02:09:44 2025 using VBITS=256
  136. Wed Feb 12 02:09:44 2025 stopping after matrix build
  137. Wed Feb 12 02:09:44 2025 initialized process (0,0) of 1 x 1 grid
  138. Wed Feb 12 02:09:46 2025 read 12368095 cycles
  139. Wed Feb 12 02:10:23 2025 cycles contain 47043621 unique relations
  140. Wed Feb 12 02:15:42 2025 read 47043621 relations
  141. Wed Feb 12 02:15:47 2025 using 20 quadratic characters above 4294917295
  142. Wed Feb 12 02:15:55 2025 building initial matrix
  143. Wed Feb 12 02:30:01 2025 memory use: 6372.8 MB
  144. Wed Feb 12 02:30:15 2025 read 12368095 cycles
  145. Wed Feb 12 02:30:19 2025 matrix is 12367914 x 12368095 (5467.6 MB) with weight 1691012601 (136.72/col)
  146. Wed Feb 12 02:30:19 2025 sparse part has weight 1284872826 (103.89/col)
  147. Wed Feb 12 02:34:38 2025 filtering completed in 2 passes
  148. Wed Feb 12 02:34:43 2025 matrix is 12364609 x 12364789 (5467.2 MB) with weight 1690846020 (136.75/col)
  149. Wed Feb 12 02:34:43 2025 sparse part has weight 1284824471 (103.91/col)
  150. Wed Feb 12 02:35:59 2025 BLanczosTime: 1575
  151. Wed Feb 12 02:35:59 2025 elapsed time 01:34:44
  152. Wed Feb 12 13:43:07 2025
  153. Wed Feb 12 13:43:07 2025
  154. Wed Feb 12 13:43:07 2025 Msieve v. 1.54 (SVN Unversioned directory)
  155. Wed Feb 12 13:43:07 2025 random seeds: 1045c01a 5cf5dac2
  156. Wed Feb 12 13:43:07 2025 Using 96 OpenMP threads
  157. Wed Feb 12 13:43:07 2025 factoring 911292588150048412379651381501450645526527480347502290771469352519827011332123335513682216204960747099377080957348005985567283354857873722861569798242358375746712376269 (168 digits)
  158. Wed Feb 12 13:43:07 2025 searching for 15-digit factors
  159. Wed Feb 12 13:43:08 2025 commencing number field sieve (168-digit input)
  160. Wed Feb 12 13:43:08 2025 R0: -330631806753840690539807459721393
  161. Wed Feb 12 13:43:08 2025 R1: 211646227056940507
  162. Wed Feb 12 13:43:08 2025 A0: 22859106152310527067559822896417713308759400
  163. Wed Feb 12 13:43:08 2025 A1: -279450339217816283716501998485029050
  164. Wed Feb 12 13:43:08 2025 A2: -70375967705059390607789397901
  165. Wed Feb 12 13:43:08 2025 A3: -565982422900547837706
  166. Wed Feb 12 13:43:08 2025 A4: 47241894904352
  167. Wed Feb 12 13:43:08 2025 A5: 230640
  168. Wed Feb 12 13:43:08 2025 skew 48608422.49, size 1.999e-16, alpha -9.252, combined = 4.287e-13 rroots = 3
  169. Wed Feb 12 13:43:08 2025
  170. Wed Feb 12 13:43:08 2025 commencing linear algebra
  171. Wed Feb 12 13:43:08 2025 using VBITS=256
  172. Wed Feb 12 13:43:08 2025 skipping matrix build
  173. Wed Feb 12 13:43:10 2025 matrix starts at (0, 0)
  174. Wed Feb 12 13:43:12 2025 matrix is 12364609 x 12364789 (5467.2 MB) with weight 1690846020 (136.75/col)
  175. Wed Feb 12 13:43:12 2025 sparse part has weight 1284824471 (103.91/col)
  176. Wed Feb 12 13:43:12 2025 saving the first 240 matrix rows for later
  177. Wed Feb 12 13:43:14 2025 matrix includes 256 packed rows
  178. Wed Feb 12 13:43:18 2025 matrix is 12364369 x 12364789 (4940.1 MB) with weight 1175307945 (95.05/col)
  179. Wed Feb 12 13:43:18 2025 sparse part has weight 1097183617 (88.73/col)
  180. Wed Feb 12 13:43:18 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  181. Wed Feb 12 13:43:41 2025 commencing Lanczos iteration (96 threads)
  182. Wed Feb 12 13:43:41 2025 memory use: 6939.5 MB
  183. Wed Feb 12 13:45:09 2025 linear algebra at 0.2%, ETA 9h37m
  184. Wed Feb 12 13:47:11 2025 checking every 20000 dimensions, checkpointing every 1340000 dimensions
  185. Wed Feb 12 22:39:38 2025 lanczos halted after 48446 iterations (dim = 12364366)
  186. Wed Feb 12 22:40:39 2025 recovered 26 nontrivial dependencies
  187. Wed Feb 12 22:40:41 2025 BLanczosTime: 32253
  188. Wed Feb 12 22:40:41 2025
  189. Wed Feb 12 22:40:41 2025 commencing square root phase
  190. Wed Feb 12 22:40:41 2025 handling dependencies 1 to 64
  191. Wed Feb 12 22:40:41 2025 reading relations for dependency 1
  192. Wed Feb 12 22:40:42 2025 read 6180959 cycles
  193. Wed Feb 12 22:40:56 2025 cycles contain 23523738 unique relations
  194. Wed Feb 12 22:46:16 2025 read 23523738 relations
  195. Wed Feb 12 22:48:11 2025 multiplying 23523738 relations
  196. Wed Feb 12 23:03:31 2025 multiply complete, coefficients have about 1327.89 million bits
  197. Wed Feb 12 23:03:37 2025 initial square root is modulo 904867
  198. Wed Feb 12 23:17:10 2025 GCD is 1, no factor found
  199. Wed Feb 12 23:17:10 2025 reading relations for dependency 2
  200. Wed Feb 12 23:17:12 2025 read 6183013 cycles
  201. Wed Feb 12 23:17:26 2025 cycles contain 23520324 unique relations
  202. Wed Feb 12 23:22:43 2025 read 23520324 relations
  203. Wed Feb 12 23:24:28 2025 multiplying 23520324 relations
  204. Wed Feb 12 23:39:49 2025 multiply complete, coefficients have about 1327.70 million bits
  205. Wed Feb 12 23:39:55 2025 initial square root is modulo 903457
  206. Wed Feb 12 23:53:26 2025 GCD is 1, no factor found
  207. Wed Feb 12 23:53:26 2025 reading relations for dependency 3
  208. Wed Feb 12 23:53:28 2025 read 6180424 cycles
  209. Wed Feb 12 23:53:41 2025 cycles contain 23518332 unique relations
  210. Wed Feb 12 23:58:56 2025 read 23518332 relations
  211. Thu Feb 13 00:00:41 2025 multiplying 23518332 relations
  212. Thu Feb 13 00:15:57 2025 multiply complete, coefficients have about 1327.59 million bits
  213. Thu Feb 13 00:16:03 2025 initial square root is modulo 902039
  214. Thu Feb 13 00:29:18 2025 GCD is N, no factor found
  215. Thu Feb 13 00:29:18 2025 reading relations for dependency 4
  216. Thu Feb 13 00:29:20 2025 read 6180697 cycles
  217. Thu Feb 13 00:29:34 2025 cycles contain 23518118 unique relations
  218. Thu Feb 13 00:34:51 2025 read 23518118 relations
  219. Thu Feb 13 00:36:38 2025 multiplying 23518118 relations
  220. Thu Feb 13 00:52:08 2025 multiply complete, coefficients have about 1327.57 million bits
  221. Thu Feb 13 00:52:14 2025 initial square root is modulo 901891
  222. Thu Feb 13 01:06:08 2025 sqrtTime: 8727
  223. Thu Feb 13 01:06:08 2025 p56 factor: 21932479895184162578120552305589668921421404282761461609
  224. Thu Feb 13 01:06:08 2025 p113 factor: 41549911022608347574871823419807638121887182501881929671192292958400469220034264354707632420104345604156054636741
  225. Thu Feb 13 01:06:08 2025 elapsed time 11:23:01
  226.  
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