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Dec 31st, 2024
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  1. Tue Dec 31 02:42:44 2024
  2. Tue Dec 31 02:42:44 2024
  3. Tue Dec 31 02:42:44 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Dec 31 02:42:44 2024 random seeds: 01ba7dcf 122926b9
  5. Tue Dec 31 02:42:44 2024 MPI process 0 of 1
  6. Tue Dec 31 02:42:44 2024 Using 32 OpenMP threads
  7. Tue Dec 31 02:42:44 2024 factoring 34946844104885571462652919325121956540426026280655942212248940488691565463777647152628436204538384196611108562066356268134177695772187819171313887762573885686872261 (164 digits)
  8. Tue Dec 31 02:42:45 2024 searching for 15-digit factors
  9. Tue Dec 31 02:42:45 2024 commencing number field sieve (164-digit input)
  10. Tue Dec 31 02:42:45 2024 R0: -45324585978815505129755797513531
  11. Tue Dec 31 02:42:45 2024 R1: 149204884626128833
  12. Tue Dec 31 02:42:45 2024 A0: 5174390676602906253101457341876066038800
  13. Tue Dec 31 02:42:45 2024 A1: 782754766497613215632551952571700
  14. Tue Dec 31 02:42:45 2024 A2: -1307528340608958174058134204
  15. Tue Dec 31 02:42:45 2024 A3: -32607652353114473709
  16. Tue Dec 31 02:42:45 2024 A4: 23878013496760
  17. Tue Dec 31 02:42:45 2024 A5: 182700
  18. Tue Dec 31 02:42:45 2024 skew 7992127.90, size 5.188e-16, alpha -7.296, combined = 7.584e-13 rroots = 5
  19. Tue Dec 31 02:42:45 2024
  20. Tue Dec 31 02:42:45 2024 commencing relation filtering
  21. Tue Dec 31 02:42:45 2024 setting target matrix density to 130.0
  22. Tue Dec 31 02:42:45 2024 estimated available RAM is 257736.5 MB
  23. Tue Dec 31 02:42:45 2024 commencing duplicate removal, pass 1
  24. Tue Dec 31 02:43:59 2024 error -1 reading relation 45980392
  25. Tue Dec 31 02:44:32 2024 error -1 reading relation 61374398
  26. Tue Dec 31 02:45:35 2024 error -1 reading relation 87207118
  27. Tue Dec 31 02:49:36 2024 error -1 reading relation 180679671
  28. Tue Dec 31 02:50:02 2024 error -1 reading relation 190461942
  29. Tue Dec 31 02:50:56 2024 error -1 reading relation 211323046
  30. Tue Dec 31 02:52:16 2024 error -1 reading relation 241699819
  31. Tue Dec 31 02:52:16 2024 error -1 reading relation 241750835
  32. Tue Dec 31 02:52:50 2024 error -1 reading relation 255717824
  33. Tue Dec 31 02:52:53 2024 error -1 reading relation 257452116
  34. Tue Dec 31 02:52:56 2024 error -1 reading relation 258768746
  35. Tue Dec 31 02:52:56 2024 error -1 reading relation 258828174
  36. Tue Dec 31 02:53:09 2024 error -1 reading relation 264383453
  37. Tue Dec 31 02:53:10 2024 error -1 reading relation 265055875
  38. Tue Dec 31 02:53:41 2024 error -1 reading relation 278614212
  39. Tue Dec 31 02:53:42 2024 error -1 reading relation 279018679
  40. Tue Dec 31 02:53:49 2024 skipped 137 malformed relations
  41. Tue Dec 31 02:53:49 2024 found 54265651 hash collisions in 282369374 relations
  42. Tue Dec 31 02:54:22 2024 added 122197 free relations
  43. Tue Dec 31 02:54:22 2024 commencing duplicate removal, pass 2
  44. Tue Dec 31 03:01:30 2024 found 57053660 duplicates and 225437911 unique relations
  45. Tue Dec 31 03:01:30 2024 memory use: 1705.5 MB
  46. Tue Dec 31 03:01:30 2024 reading ideals above 720000
  47. Tue Dec 31 03:01:30 2024 commencing singleton removal, initial pass
  48. Tue Dec 31 03:23:15 2024 memory use: 6024.0 MB
  49. Tue Dec 31 03:23:16 2024 reading all ideals from disk
  50. Tue Dec 31 03:23:20 2024 memory use: 10251.3 MB
  51. Tue Dec 31 03:23:49 2024 keeping 220984754 ideals with weight <= 200, target excess is 1114913
  52. Tue Dec 31 03:24:25 2024 commencing in-memory singleton removal
  53. Tue Dec 31 03:24:30 2024 begin with 225437911 relations and 220984754 unique ideals
  54. Tue Dec 31 03:24:49 2024 reduce to 115767918 relations and 96694982 ideals in 16 passes
  55. Tue Dec 31 03:24:49 2024 max relations containing the same ideal: 133
  56. Tue Dec 31 03:25:44 2024 removing 12300415 relations and 10300415 ideals in 2000000 cliques
  57. Tue Dec 31 03:25:49 2024 commencing in-memory singleton removal
  58. Tue Dec 31 03:25:51 2024 begin with 103467503 relations and 96694982 unique ideals
  59. Tue Dec 31 03:25:59 2024 reduce to 102460043 relations and 85364798 ideals in 10 passes
  60. Tue Dec 31 03:25:59 2024 max relations containing the same ideal: 124
  61. Tue Dec 31 03:26:44 2024 removing 9354338 relations and 7354338 ideals in 2000000 cliques
  62. Tue Dec 31 03:26:49 2024 commencing in-memory singleton removal
  63. Tue Dec 31 03:26:51 2024 begin with 93105705 relations and 85364798 unique ideals
  64. Tue Dec 31 03:26:57 2024 reduce to 92418523 relations and 77309613 ideals in 8 passes
  65. Tue Dec 31 03:26:57 2024 max relations containing the same ideal: 116
  66. Tue Dec 31 03:27:40 2024 removing 8478165 relations and 6478165 ideals in 2000000 cliques
  67. Tue Dec 31 03:27:44 2024 commencing in-memory singleton removal
  68. Tue Dec 31 03:27:45 2024 begin with 83940358 relations and 77309613 unique ideals
  69. Tue Dec 31 03:27:51 2024 reduce to 83310863 relations and 70188955 ideals in 8 passes
  70. Tue Dec 31 03:27:51 2024 max relations containing the same ideal: 109
  71. Tue Dec 31 03:28:33 2024 removing 8038965 relations and 6038965 ideals in 2000000 cliques
  72. Tue Dec 31 03:28:37 2024 commencing in-memory singleton removal
  73. Tue Dec 31 03:28:39 2024 begin with 75271898 relations and 70188955 unique ideals
  74. Tue Dec 31 03:28:43 2024 reduce to 74648358 relations and 63512621 ideals in 8 passes
  75. Tue Dec 31 03:28:43 2024 max relations containing the same ideal: 100
  76. Tue Dec 31 03:29:15 2024 removing 7799254 relations and 5799254 ideals in 2000000 cliques
  77. Tue Dec 31 03:29:18 2024 commencing in-memory singleton removal
  78. Tue Dec 31 03:29:19 2024 begin with 66849104 relations and 63512621 unique ideals
  79. Tue Dec 31 03:29:23 2024 reduce to 66199733 relations and 57048260 ideals in 9 passes
  80. Tue Dec 31 03:29:23 2024 max relations containing the same ideal: 91
  81. Tue Dec 31 03:29:51 2024 removing 7671913 relations and 5671913 ideals in 2000000 cliques
  82. Tue Dec 31 03:29:54 2024 commencing in-memory singleton removal
  83. Tue Dec 31 03:29:55 2024 begin with 58527820 relations and 57048260 unique ideals
  84. Tue Dec 31 03:29:59 2024 reduce to 57820912 relations and 50650199 ideals in 8 passes
  85. Tue Dec 31 03:29:59 2024 max relations containing the same ideal: 83
  86. Tue Dec 31 03:30:30 2024 removing 7622656 relations and 5622656 ideals in 2000000 cliques
  87. Tue Dec 31 03:30:34 2024 commencing in-memory singleton removal
  88. Tue Dec 31 03:30:35 2024 begin with 50198256 relations and 50650199 unique ideals
  89. Tue Dec 31 03:30:38 2024 reduce to 49393093 relations and 44198127 ideals in 8 passes
  90. Tue Dec 31 03:30:38 2024 max relations containing the same ideal: 76
  91. Tue Dec 31 03:30:59 2024 removing 7644677 relations and 5644677 ideals in 2000000 cliques
  92. Tue Dec 31 03:31:02 2024 commencing in-memory singleton removal
  93. Tue Dec 31 03:31:02 2024 begin with 41748416 relations and 44198127 unique ideals
  94. Tue Dec 31 03:31:04 2024 reduce to 40784609 relations and 37555055 ideals in 8 passes
  95. Tue Dec 31 03:31:04 2024 max relations containing the same ideal: 67
  96. Tue Dec 31 03:31:23 2024 removing 7558340 relations and 5622086 ideals in 1936254 cliques
  97. Tue Dec 31 03:31:25 2024 commencing in-memory singleton removal
  98. Tue Dec 31 03:31:26 2024 begin with 33226269 relations and 37555055 unique ideals
  99. Tue Dec 31 03:31:28 2024 reduce to 32042433 relations and 30699339 ideals in 11 passes
  100. Tue Dec 31 03:31:28 2024 max relations containing the same ideal: 55
  101. Tue Dec 31 03:31:42 2024 removing 433404 relations and 383610 ideals in 49794 cliques
  102. Tue Dec 31 03:31:43 2024 commencing in-memory singleton removal
  103. Tue Dec 31 03:31:44 2024 begin with 31609029 relations and 30699339 unique ideals
  104. Tue Dec 31 03:31:45 2024 reduce to 31605208 relations and 30311900 ideals in 6 passes
  105. Tue Dec 31 03:31:45 2024 max relations containing the same ideal: 55
  106. Tue Dec 31 03:31:48 2024 relations with 0 large ideals: 4048
  107. Tue Dec 31 03:31:48 2024 relations with 1 large ideals: 47013
  108. Tue Dec 31 03:31:48 2024 relations with 2 large ideals: 538809
  109. Tue Dec 31 03:31:48 2024 relations with 3 large ideals: 2562556
  110. Tue Dec 31 03:31:48 2024 relations with 4 large ideals: 6384097
  111. Tue Dec 31 03:31:48 2024 relations with 5 large ideals: 9118021
  112. Tue Dec 31 03:31:48 2024 relations with 6 large ideals: 7756781
  113. Tue Dec 31 03:31:48 2024 relations with 7+ large ideals: 5193883
  114. Tue Dec 31 03:31:48 2024 commencing 2-way merge
  115. Tue Dec 31 03:32:08 2024 reduce to 18544434 relation sets and 17251126 unique ideals
  116. Tue Dec 31 03:32:08 2024 commencing full merge
  117. Tue Dec 31 03:37:07 2024 memory use: 1998.5 MB
  118. Tue Dec 31 03:37:09 2024 found 7766032 cycles, need 7763326
  119. Tue Dec 31 03:37:11 2024 weight of 7763326 cycles is about 1010074886 (130.11/cycle)
  120. Tue Dec 31 03:37:11 2024 distribution of cycle lengths:
  121. Tue Dec 31 03:37:11 2024 1 relations: 510512
  122. Tue Dec 31 03:37:11 2024 2 relations: 488093
  123. Tue Dec 31 03:37:11 2024 3 relations: 497136
  124. Tue Dec 31 03:37:11 2024 4 relations: 486347
  125. Tue Dec 31 03:37:11 2024 5 relations: 487757
  126. Tue Dec 31 03:37:11 2024 6 relations: 482954
  127. Tue Dec 31 03:37:11 2024 7 relations: 475263
  128. Tue Dec 31 03:37:11 2024 8 relations: 457703
  129. Tue Dec 31 03:37:11 2024 9 relations: 437868
  130. Tue Dec 31 03:37:11 2024 10+ relations: 3439693
  131. Tue Dec 31 03:37:11 2024 heaviest cycle: 28 relations
  132. Tue Dec 31 03:37:12 2024 commencing cycle optimization
  133. Tue Dec 31 03:37:26 2024 start with 74238627 relations
  134. Tue Dec 31 03:39:40 2024 pruned 3050377 relations
  135. Tue Dec 31 03:39:40 2024 memory use: 2025.9 MB
  136. Tue Dec 31 03:39:40 2024 distribution of cycle lengths:
  137. Tue Dec 31 03:39:40 2024 1 relations: 510512
  138. Tue Dec 31 03:39:40 2024 2 relations: 500213
  139. Tue Dec 31 03:39:40 2024 3 relations: 515690
  140. Tue Dec 31 03:39:40 2024 4 relations: 504159
  141. Tue Dec 31 03:39:40 2024 5 relations: 508815
  142. Tue Dec 31 03:39:40 2024 6 relations: 503081
  143. Tue Dec 31 03:39:40 2024 7 relations: 496904
  144. Tue Dec 31 03:39:40 2024 8 relations: 477068
  145. Tue Dec 31 03:39:40 2024 9 relations: 457152
  146. Tue Dec 31 03:39:40 2024 10+ relations: 3289732
  147. Tue Dec 31 03:39:40 2024 heaviest cycle: 28 relations
  148. Tue Dec 31 03:39:50 2024 RelProcTime: 3425
  149. Tue Dec 31 03:39:50 2024
  150. Tue Dec 31 03:39:50 2024 commencing linear algebra
  151. Tue Dec 31 03:39:50 2024 using VBITS=256
  152. Tue Dec 31 03:39:50 2024 stopping after matrix build
  153. Tue Dec 31 03:39:50 2024 initialized process (0,0) of 1 x 1 grid
  154. Tue Dec 31 03:39:51 2024 read 7763326 cycles
  155. Tue Dec 31 03:40:04 2024 cycles contain 30637574 unique relations
  156. Tue Dec 31 03:44:07 2024 read 30637574 relations
  157. Tue Dec 31 03:44:10 2024 using 20 quadratic characters above 4294917295
  158. Tue Dec 31 03:44:14 2024 building initial matrix
  159. Tue Dec 31 03:49:19 2024 memory use: 4089.0 MB
  160. Tue Dec 31 03:49:25 2024 read 7763326 cycles
  161. Tue Dec 31 03:49:26 2024 matrix is 7763147 x 7763326 (3931.9 MB) with weight 1187578210 (152.97/col)
  162. Tue Dec 31 03:49:26 2024 sparse part has weight 937572011 (120.77/col)
  163. Tue Dec 31 03:50:56 2024 filtering completed in 2 passes
  164. Tue Dec 31 03:50:57 2024 matrix is 7762966 x 7763144 (3931.9 MB) with weight 1187569964 (152.98/col)
  165. Tue Dec 31 03:50:57 2024 sparse part has weight 937570028 (120.77/col)
  166. Tue Dec 31 03:51:43 2024 BLanczosTime: 713
  167. Tue Dec 31 03:51:43 2024 elapsed time 01:08:59
  168. Tue Dec 31 03:53:02 2024
  169. Tue Dec 31 03:53:02 2024
  170. Tue Dec 31 03:53:02 2024 Msieve v. 1.54 (SVN Unversioned directory)
  171. Tue Dec 31 03:53:02 2024 random seeds: e2eed402 82ee97ee
  172. Tue Dec 31 03:53:02 2024 MPI process 0 of 1
  173. Tue Dec 31 03:53:02 2024 Using 64 OpenMP threads
  174. Tue Dec 31 03:53:02 2024 factoring 34946844104885571462652919325121956540426026280655942212248940488691565463777647152628436204538384196611108562066356268134177695772187819171313887762573885686872261 (164 digits)
  175. Tue Dec 31 03:53:02 2024 searching for 15-digit factors
  176. Tue Dec 31 03:53:03 2024 commencing number field sieve (164-digit input)
  177. Tue Dec 31 03:53:03 2024 R0: -45324585978815505129755797513531
  178. Tue Dec 31 03:53:03 2024 R1: 149204884626128833
  179. Tue Dec 31 03:53:03 2024 A0: 5174390676602906253101457341876066038800
  180. Tue Dec 31 03:53:03 2024 A1: 782754766497613215632551952571700
  181. Tue Dec 31 03:53:03 2024 A2: -1307528340608958174058134204
  182. Tue Dec 31 03:53:03 2024 A3: -32607652353114473709
  183. Tue Dec 31 03:53:03 2024 A4: 23878013496760
  184. Tue Dec 31 03:53:03 2024 A5: 182700
  185. Tue Dec 31 03:53:03 2024 skew 7992127.90, size 5.188e-16, alpha -7.296, combined = 7.584e-13 rroots = 5
  186. Tue Dec 31 03:53:03 2024
  187. Tue Dec 31 03:53:03 2024 commencing linear algebra
  188. Tue Dec 31 03:53:03 2024 using VBITS=256
  189. Tue Dec 31 03:53:03 2024 skipping matrix build
  190. Tue Dec 31 03:53:03 2024 initialized process (0,0) of 1 x 1 grid
  191. Tue Dec 31 03:53:07 2024 matrix starts at (0, 0)
  192. Tue Dec 31 03:53:08 2024 matrix is 7762966 x 7763144 (3931.9 MB) with weight 1187569964 (152.98/col)
  193. Tue Dec 31 03:53:08 2024 sparse part has weight 937570028 (120.77/col)
  194. Tue Dec 31 03:53:08 2024 saving the first 240 matrix rows for later
  195. Tue Dec 31 03:53:10 2024 matrix includes 256 packed rows
  196. Tue Dec 31 03:53:12 2024 matrix is 7762726 x 7763144 (3518.8 MB) with weight 855351765 (110.18/col)
  197. Tue Dec 31 03:53:12 2024 sparse part has weight 798222377 (102.82/col)
  198. Tue Dec 31 03:53:12 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  199. Tue Dec 31 03:53:29 2024 commencing Lanczos iteration (64 threads)
  200. Tue Dec 31 03:53:29 2024 memory use: 4970.0 MB
  201. Tue Dec 31 03:54:41 2024 linear algebra at 0.4%, ETA 4h54m
  202. Tue Dec 31 03:56:30 2024 checking every 20000 dimensions, checkpointing every 1560000 dimensions
  203. Tue Dec 31 08:37:20 2024 lanczos halted after 30416 iterations (dim = 7762726)
  204. Tue Dec 31 08:37:47 2024 recovered 31 nontrivial dependencies
  205. Tue Dec 31 08:37:47 2024 BLanczosTime: 17084
  206. Tue Dec 31 08:37:47 2024
  207. Tue Dec 31 08:37:47 2024 commencing square root phase
  208. Tue Dec 31 08:37:47 2024 handling dependencies 1 to 64
  209. Tue Dec 31 08:37:47 2024 reading relations for dependency 1
  210. Tue Dec 31 08:37:48 2024 read 3883412 cycles
  211. Tue Dec 31 08:37:55 2024 cycles contain 15327906 unique relations
  212. Tue Dec 31 08:41:52 2024 read 15327906 relations
  213. Tue Dec 31 08:42:45 2024 multiplying 15327906 relations
  214. Tue Dec 31 08:44:13 2024 multiply complete, coefficients have about 861.29 million bits
  215. Tue Dec 31 08:44:15 2024 initial square root is modulo 53340899
  216. Tue Dec 31 08:49:02 2024 GCD is 1, no factor found
  217. Tue Dec 31 08:49:02 2024 reading relations for dependency 2
  218. Tue Dec 31 08:49:03 2024 read 3881851 cycles
  219. Tue Dec 31 08:49:10 2024 cycles contain 15323352 unique relations
  220. Tue Dec 31 08:53:06 2024 read 15323352 relations
  221. Tue Dec 31 08:53:58 2024 multiplying 15323352 relations
  222. Tue Dec 31 08:55:27 2024 multiply complete, coefficients have about 861.02 million bits
  223. Tue Dec 31 08:55:29 2024 initial square root is modulo 53041007
  224. Tue Dec 31 09:00:18 2024 GCD is 1, no factor found
  225. Tue Dec 31 09:00:18 2024 reading relations for dependency 3
  226. Tue Dec 31 09:00:19 2024 read 3883572 cycles
  227. Tue Dec 31 09:00:26 2024 cycles contain 15322962 unique relations
  228. Tue Dec 31 09:04:25 2024 read 15322962 relations
  229. Tue Dec 31 09:05:16 2024 multiplying 15322962 relations
  230. Tue Dec 31 09:06:44 2024 multiply complete, coefficients have about 861.00 million bits
  231. Tue Dec 31 09:06:46 2024 initial square root is modulo 53024347
  232. Tue Dec 31 09:11:36 2024 sqrtTime: 2029
  233. Tue Dec 31 09:11:36 2024 p50 factor: 69470085553534499047062257246955341417853964400633
  234. Tue Dec 31 09:11:36 2024 p114 factor: 503048813405521218780841206529880483142191695050841273811321148013120643430624834399486875780527980202653428265517
  235. Tue Dec 31 09:11:36 2024 elapsed time 05:18:34
  236.  
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