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Mar 10th, 2025
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  1. Sun Mar 9 21:56:01 2025
  2. Sun Mar 9 21:56:01 2025
  3. Sun Mar 9 21:56:01 2025 Msieve v. 1.54 (SVN Unversioned directory)
  4. Sun Mar 9 21:56:01 2025 random seeds: f8233ce6 ba410412
  5. Sun Mar 9 21:56:01 2025 MPI process 0 of 1
  6. Sun Mar 9 21:56:01 2025 Using 32 OpenMP threads
  7. Sun Mar 9 21:56:01 2025 factoring 88009851148538008079188159076286894622976093404581785092680108041982582926297551989110697762796552496608603382192015772442554278198919449899726226479974347532846097 (164 digits)
  8. Sun Mar 9 21:56:02 2025 searching for 15-digit factors
  9. Sun Mar 9 21:56:02 2025 commencing number field sieve (164-digit input)
  10. Sun Mar 9 21:56:02 2025 R0: -67458734254687397240539628501459
  11. Sun Mar 9 21:56:02 2025 R1: 168104543292753559
  12. Sun Mar 9 21:56:02 2025 A0: 403073824854343074277368795825593688144
  13. Sun Mar 9 21:56:02 2025 A1: -61424986398331314268162846256210
  14. Sun Mar 9 21:56:02 2025 A2: 268554226496989292305717359
  15. Sun Mar 9 21:56:02 2025 A3: -25079487086911549110
  16. Sun Mar 9 21:56:02 2025 A4: -11860566533680
  17. Sun Mar 9 21:56:02 2025 A5: 63000
  18. Sun Mar 9 21:56:02 2025 skew 6870531.79, size 5.303e-16, alpha -6.981, combined = 7.764e-13 rroots = 3
  19. Sun Mar 9 21:56:02 2025
  20. Sun Mar 9 21:56:02 2025 commencing relation filtering
  21. Sun Mar 9 21:56:02 2025 setting target matrix density to 130.0
  22. Sun Mar 9 21:56:02 2025 estimated available RAM is 257736.5 MB
  23. Sun Mar 9 21:56:02 2025 commencing duplicate removal, pass 1
  24. Sun Mar 9 21:57:13 2025 error -1 reading relation 48227563
  25. Sun Mar 9 21:57:24 2025 error -1 reading relation 55850497
  26. Sun Mar 9 21:57:24 2025 error -1 reading relation 55852182
  27. Sun Mar 9 21:57:25 2025 error -1 reading relation 56529552
  28. Sun Mar 9 21:57:42 2025 error -1 reading relation 68154343
  29. Sun Mar 9 21:59:19 2025 error -1 reading relation 134881289
  30. Sun Mar 9 21:59:21 2025 error -15 reading relation 136118780
  31. Sun Mar 9 21:59:21 2025 error -1 reading relation 136118781
  32. Sun Mar 9 21:59:25 2025 error -1 reading relation 138906568
  33. Sun Mar 9 21:59:27 2025 error -1 reading relation 140285606
  34. Sun Mar 9 21:59:40 2025 error -1 reading relation 149133851
  35. Sun Mar 9 22:02:50 2025 skipped 134 malformed relations
  36. Sun Mar 9 22:02:50 2025 found 52144558 hash collisions in 277571997 relations
  37. Sun Mar 9 22:03:12 2025 added 121827 free relations
  38. Sun Mar 9 22:03:12 2025 commencing duplicate removal, pass 2
  39. Sun Mar 9 22:08:31 2025 found 54553022 duplicates and 223140802 unique relations
  40. Sun Mar 9 22:08:31 2025 memory use: 1705.5 MB
  41. Sun Mar 9 22:08:32 2025 reading ideals above 720000
  42. Sun Mar 9 22:08:32 2025 commencing singleton removal, initial pass
  43. Sun Mar 9 22:23:16 2025 memory use: 6024.0 MB
  44. Sun Mar 9 22:23:17 2025 reading all ideals from disk
  45. Sun Mar 9 22:23:22 2025 memory use: 10146.3 MB
  46. Sun Mar 9 22:23:51 2025 keeping 219761935 ideals with weight <= 200, target excess is 1102193
  47. Sun Mar 9 22:24:30 2025 commencing in-memory singleton removal
  48. Sun Mar 9 22:24:34 2025 begin with 223140802 relations and 219761935 unique ideals
  49. Sun Mar 9 22:24:51 2025 reduce to 113083210 relations and 94814701 ideals in 16 passes
  50. Sun Mar 9 22:24:51 2025 max relations containing the same ideal: 134
  51. Sun Mar 9 22:25:32 2025 removing 12371026 relations and 10371026 ideals in 2000000 cliques
  52. Sun Mar 9 22:25:36 2025 commencing in-memory singleton removal
  53. Sun Mar 9 22:25:38 2025 begin with 100712184 relations and 94814701 unique ideals
  54. Sun Mar 9 22:25:45 2025 reduce to 99665275 relations and 83372873 ideals in 9 passes
  55. Sun Mar 9 22:25:45 2025 max relations containing the same ideal: 121
  56. Sun Mar 9 22:26:31 2025 removing 9396368 relations and 7396368 ideals in 2000000 cliques
  57. Sun Mar 9 22:26:35 2025 commencing in-memory singleton removal
  58. Sun Mar 9 22:26:36 2025 begin with 90268907 relations and 83372873 unique ideals
  59. Sun Mar 9 22:26:42 2025 reduce to 89552778 relations and 75245881 ideals in 10 passes
  60. Sun Mar 9 22:26:42 2025 max relations containing the same ideal: 114
  61. Sun Mar 9 22:27:17 2025 removing 8514990 relations and 6514990 ideals in 2000000 cliques
  62. Sun Mar 9 22:27:21 2025 commencing in-memory singleton removal
  63. Sun Mar 9 22:27:23 2025 begin with 81037788 relations and 75245881 unique ideals
  64. Sun Mar 9 22:27:27 2025 reduce to 80382694 relations and 68061984 ideals in 9 passes
  65. Sun Mar 9 22:27:27 2025 max relations containing the same ideal: 107
  66. Sun Mar 9 22:27:56 2025 removing 8086107 relations and 6086107 ideals in 2000000 cliques
  67. Sun Mar 9 22:27:59 2025 commencing in-memory singleton removal
  68. Sun Mar 9 22:28:00 2025 begin with 72296587 relations and 68061984 unique ideals
  69. Sun Mar 9 22:28:05 2025 reduce to 71644478 relations and 61308807 ideals in 10 passes
  70. Sun Mar 9 22:28:05 2025 max relations containing the same ideal: 99
  71. Sun Mar 9 22:28:33 2025 removing 7847524 relations and 5847524 ideals in 2000000 cliques
  72. Sun Mar 9 22:28:36 2025 commencing in-memory singleton removal
  73. Sun Mar 9 22:28:37 2025 begin with 63796954 relations and 61308807 unique ideals
  74. Sun Mar 9 22:28:40 2025 reduce to 63113082 relations and 54760320 ideals in 9 passes
  75. Sun Mar 9 22:28:40 2025 max relations containing the same ideal: 91
  76. Sun Mar 9 22:29:03 2025 removing 7717180 relations and 5717180 ideals in 2000000 cliques
  77. Sun Mar 9 22:29:06 2025 commencing in-memory singleton removal
  78. Sun Mar 9 22:29:07 2025 begin with 55395902 relations and 54760320 unique ideals
  79. Sun Mar 9 22:29:10 2025 reduce to 54641180 relations and 48266992 ideals in 9 passes
  80. Sun Mar 9 22:29:10 2025 max relations containing the same ideal: 82
  81. Sun Mar 9 22:29:29 2025 removing 7680546 relations and 5680546 ideals in 2000000 cliques
  82. Sun Mar 9 22:29:32 2025 commencing in-memory singleton removal
  83. Sun Mar 9 22:29:33 2025 begin with 46960634 relations and 48266992 unique ideals
  84. Sun Mar 9 22:29:35 2025 reduce to 46088746 relations and 41686317 ideals in 9 passes
  85. Sun Mar 9 22:29:35 2025 max relations containing the same ideal: 73
  86. Sun Mar 9 22:29:52 2025 removing 7721834 relations and 5721834 ideals in 2000000 cliques
  87. Sun Mar 9 22:29:54 2025 commencing in-memory singleton removal
  88. Sun Mar 9 22:29:55 2025 begin with 38366912 relations and 41686317 unique ideals
  89. Sun Mar 9 22:29:57 2025 reduce to 37293928 relations and 34849983 ideals in 9 passes
  90. Sun Mar 9 22:29:57 2025 max relations containing the same ideal: 65
  91. Sun Mar 9 22:30:10 2025 removing 5216784 relations and 4051383 ideals in 1165401 cliques
  92. Sun Mar 9 22:30:12 2025 commencing in-memory singleton removal
  93. Sun Mar 9 22:30:13 2025 begin with 32077144 relations and 34849983 unique ideals
  94. Sun Mar 9 22:30:14 2025 reduce to 31488857 relations and 30193828 ideals in 8 passes
  95. Sun Mar 9 22:30:14 2025 max relations containing the same ideal: 57
  96. Sun Mar 9 22:30:26 2025 removing 156285 relations and 139800 ideals in 16485 cliques
  97. Sun Mar 9 22:30:27 2025 commencing in-memory singleton removal
  98. Sun Mar 9 22:30:27 2025 begin with 31332572 relations and 30193828 unique ideals
  99. Sun Mar 9 22:30:28 2025 reduce to 31332094 relations and 30053550 ideals in 5 passes
  100. Sun Mar 9 22:30:28 2025 max relations containing the same ideal: 57
  101. Sun Mar 9 22:30:31 2025 relations with 0 large ideals: 3936
  102. Sun Mar 9 22:30:31 2025 relations with 1 large ideals: 45183
  103. Sun Mar 9 22:30:31 2025 relations with 2 large ideals: 521643
  104. Sun Mar 9 22:30:31 2025 relations with 3 large ideals: 2497390
  105. Sun Mar 9 22:30:31 2025 relations with 4 large ideals: 6264887
  106. Sun Mar 9 22:30:31 2025 relations with 5 large ideals: 9020618
  107. Sun Mar 9 22:30:31 2025 relations with 6 large ideals: 7739690
  108. Sun Mar 9 22:30:31 2025 relations with 7+ large ideals: 5238747
  109. Sun Mar 9 22:30:31 2025 commencing 2-way merge
  110. Sun Mar 9 22:30:47 2025 reduce to 18434063 relation sets and 17155519 unique ideals
  111. Sun Mar 9 22:30:47 2025 commencing full merge
  112. Sun Mar 9 22:35:35 2025 memory use: 1991.8 MB
  113. Sun Mar 9 22:35:36 2025 found 7720243 cycles, need 7711719
  114. Sun Mar 9 22:35:37 2025 weight of 7711719 cycles is about 1003191307 (130.09/cycle)
  115. Sun Mar 9 22:35:37 2025 distribution of cycle lengths:
  116. Sun Mar 9 22:35:37 2025 1 relations: 501122
  117. Sun Mar 9 22:35:37 2025 2 relations: 480587
  118. Sun Mar 9 22:35:37 2025 3 relations: 487726
  119. Sun Mar 9 22:35:37 2025 4 relations: 480418
  120. Sun Mar 9 22:35:37 2025 5 relations: 481646
  121. Sun Mar 9 22:35:37 2025 6 relations: 473910
  122. Sun Mar 9 22:35:37 2025 7 relations: 468716
  123. Sun Mar 9 22:35:37 2025 8 relations: 453427
  124. Sun Mar 9 22:35:38 2025 9 relations: 434635
  125. Sun Mar 9 22:35:38 2025 10+ relations: 3449532
  126. Sun Mar 9 22:35:38 2025 heaviest cycle: 28 relations
  127. Sun Mar 9 22:35:39 2025 commencing cycle optimization
  128. Sun Mar 9 22:35:53 2025 start with 73960165 relations
  129. Sun Mar 9 22:38:08 2025 pruned 3052632 relations
  130. Sun Mar 9 22:38:08 2025 memory use: 2013.1 MB
  131. Sun Mar 9 22:38:08 2025 distribution of cycle lengths:
  132. Sun Mar 9 22:38:08 2025 1 relations: 501122
  133. Sun Mar 9 22:38:08 2025 2 relations: 492307
  134. Sun Mar 9 22:38:08 2025 3 relations: 506544
  135. Sun Mar 9 22:38:08 2025 4 relations: 497555
  136. Sun Mar 9 22:38:08 2025 5 relations: 502669
  137. Sun Mar 9 22:38:08 2025 6 relations: 493529
  138. Sun Mar 9 22:38:08 2025 7 relations: 489576
  139. Sun Mar 9 22:38:08 2025 8 relations: 473252
  140. Sun Mar 9 22:38:08 2025 9 relations: 453160
  141. Sun Mar 9 22:38:08 2025 10+ relations: 3302005
  142. Sun Mar 9 22:38:08 2025 heaviest cycle: 28 relations
  143. Sun Mar 9 22:38:18 2025 RelProcTime: 2536
  144. Sun Mar 9 22:38:18 2025
  145. Sun Mar 9 22:38:18 2025 commencing linear algebra
  146. Sun Mar 9 22:38:18 2025 using VBITS=256
  147. Sun Mar 9 22:38:18 2025 stopping after matrix build
  148. Sun Mar 9 22:38:18 2025 initialized process (0,0) of 1 x 1 grid
  149. Sun Mar 9 22:38:18 2025 read 7711719 cycles
  150. Sun Mar 9 22:38:31 2025 cycles contain 30392023 unique relations
  151. Sun Mar 9 22:42:35 2025 read 30392023 relations
  152. Sun Mar 9 22:42:38 2025 using 20 quadratic characters above 4294917295
  153. Sun Mar 9 22:42:42 2025 building initial matrix
  154. Sun Mar 9 22:47:45 2025 memory use: 4069.4 MB
  155. Sun Mar 9 22:47:51 2025 read 7711719 cycles
  156. Sun Mar 9 22:47:52 2025 matrix is 7711541 x 7711719 (3909.2 MB) with weight 1179904159 (153.00/col)
  157. Sun Mar 9 22:47:52 2025 sparse part has weight 932243225 (120.89/col)
  158. Sun Mar 9 22:49:17 2025 filtering completed in 2 passes
  159. Sun Mar 9 22:49:18 2025 matrix is 7711321 x 7711499 (3909.2 MB) with weight 1179894017 (153.00/col)
  160. Sun Mar 9 22:49:18 2025 sparse part has weight 932240725 (120.89/col)
  161. Sun Mar 9 22:50:00 2025 BLanczosTime: 702
  162. Sun Mar 9 22:50:00 2025 elapsed time 00:53:59
  163. Mon Mar 10 03:27:07 2025
  164. Mon Mar 10 03:27:07 2025
  165. Mon Mar 10 03:27:07 2025 Msieve v. 1.54 (SVN Unversioned directory)
  166. Mon Mar 10 03:27:07 2025 random seeds: 92280683 caef9216
  167. Mon Mar 10 03:27:07 2025 MPI process 0 of 1
  168. Mon Mar 10 03:27:07 2025 Using 64 OpenMP threads
  169. Mon Mar 10 03:27:07 2025 factoring 88009851148538008079188159076286894622976093404581785092680108041982582926297551989110697762796552496608603382192015772442554278198919449899726226479974347532846097 (164 digits)
  170. Mon Mar 10 03:27:08 2025 searching for 15-digit factors
  171. Mon Mar 10 03:27:08 2025 commencing number field sieve (164-digit input)
  172. Mon Mar 10 03:27:08 2025 R0: -67458734254687397240539628501459
  173. Mon Mar 10 03:27:08 2025 R1: 168104543292753559
  174. Mon Mar 10 03:27:08 2025 A0: 403073824854343074277368795825593688144
  175. Mon Mar 10 03:27:08 2025 A1: -61424986398331314268162846256210
  176. Mon Mar 10 03:27:08 2025 A2: 268554226496989292305717359
  177. Mon Mar 10 03:27:08 2025 A3: -25079487086911549110
  178. Mon Mar 10 03:27:08 2025 A4: -11860566533680
  179. Mon Mar 10 03:27:08 2025 A5: 63000
  180. Mon Mar 10 03:27:08 2025 skew 6870531.79, size 5.303e-16, alpha -6.981, combined = 7.764e-13 rroots = 3
  181. Mon Mar 10 03:27:08 2025
  182. Mon Mar 10 03:27:08 2025 commencing linear algebra
  183. Mon Mar 10 03:27:08 2025 using VBITS=256
  184. Mon Mar 10 03:27:08 2025 skipping matrix build
  185. Mon Mar 10 03:27:08 2025 initialized process (0,0) of 1 x 1 grid
  186. Mon Mar 10 03:27:12 2025 matrix starts at (0, 0)
  187. Mon Mar 10 03:27:13 2025 matrix is 7711321 x 7711499 (3909.2 MB) with weight 1179894017 (153.00/col)
  188. Mon Mar 10 03:27:13 2025 sparse part has weight 932240725 (120.89/col)
  189. Mon Mar 10 03:27:13 2025 saving the first 240 matrix rows for later
  190. Mon Mar 10 03:27:15 2025 matrix includes 256 packed rows
  191. Mon Mar 10 03:27:17 2025 matrix is 7711081 x 7711499 (3500.9 MB) with weight 848243004 (110.00/col)
  192. Mon Mar 10 03:27:17 2025 sparse part has weight 794346728 (103.01/col)
  193. Mon Mar 10 03:27:17 2025 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  194. Mon Mar 10 03:27:34 2025 commencing Lanczos iteration (64 threads)
  195. Mon Mar 10 03:27:34 2025 memory use: 4943.3 MB
  196. Mon Mar 10 03:28:49 2025 linear algebra at 0.4%, ETA 5h 5m
  197. Mon Mar 10 03:30:32 2025 checking every 20000 dimensions, checkpointing every 1580000 dimensions
  198. Mon Mar 10 08:06:12 2025 lanczos halted after 30212 iterations (dim = 7711079)
  199. Mon Mar 10 08:06:48 2025 recovered 28 nontrivial dependencies
  200. Mon Mar 10 08:06:48 2025 BLanczosTime: 16780
  201. Mon Mar 10 08:06:48 2025
  202. Mon Mar 10 08:06:48 2025 commencing square root phase
  203. Mon Mar 10 08:06:48 2025 handling dependencies 1 to 64
  204. Mon Mar 10 08:06:48 2025 reading relations for dependency 1
  205. Mon Mar 10 08:06:49 2025 read 3855104 cycles
  206. Mon Mar 10 08:06:56 2025 cycles contain 15197416 unique relations
  207. Mon Mar 10 08:10:48 2025 read 15197416 relations
  208. Mon Mar 10 08:11:42 2025 multiplying 15197416 relations
  209. Mon Mar 10 08:13:11 2025 multiply complete, coefficients have about 839.70 million bits
  210. Mon Mar 10 08:13:13 2025 initial square root is modulo 34151983
  211. Mon Mar 10 08:17:51 2025 GCD is N, no factor found
  212. Mon Mar 10 08:17:51 2025 reading relations for dependency 2
  213. Mon Mar 10 08:17:51 2025 read 3857248 cycles
  214. Mon Mar 10 08:17:58 2025 cycles contain 15198876 unique relations
  215. Mon Mar 10 08:21:50 2025 read 15198876 relations
  216. Mon Mar 10 08:22:43 2025 multiplying 15198876 relations
  217. Mon Mar 10 08:24:10 2025 multiply complete, coefficients have about 839.80 million bits
  218. Mon Mar 10 08:24:12 2025 initial square root is modulo 34217849
  219. Mon Mar 10 08:28:47 2025 GCD is N, no factor found
  220. Mon Mar 10 08:28:47 2025 reading relations for dependency 3
  221. Mon Mar 10 08:28:48 2025 read 3854938 cycles
  222. Mon Mar 10 08:28:55 2025 cycles contain 15193310 unique relations
  223. Mon Mar 10 08:32:47 2025 read 15193310 relations
  224. Mon Mar 10 08:33:41 2025 multiplying 15193310 relations
  225. Mon Mar 10 08:35:08 2025 multiply complete, coefficients have about 839.49 million bits
  226. Mon Mar 10 08:35:10 2025 initial square root is modulo 33999019
  227. Mon Mar 10 08:40:05 2025 GCD is N, no factor found
  228. Mon Mar 10 08:40:05 2025 reading relations for dependency 4
  229. Mon Mar 10 08:40:06 2025 read 3854905 cycles
  230. Mon Mar 10 08:40:17 2025 cycles contain 15194212 unique relations
  231. Mon Mar 10 08:44:39 2025 read 15194212 relations
  232. Mon Mar 10 08:45:50 2025 multiplying 15194212 relations
  233. Mon Mar 10 08:47:47 2025 multiply complete, coefficients have about 839.54 million bits
  234. Mon Mar 10 08:47:49 2025 initial square root is modulo 34035931
  235. Mon Mar 10 08:54:05 2025 sqrtTime: 2837
  236. Mon Mar 10 08:54:05 2025 p58 factor: 8263712765190688816963145023683149624686039115484100146203
  237. Mon Mar 10 08:54:05 2025 p107 factor: 10650158548499252193587697973573340072342155618115641405606691684414215164248736211121753706583833936524099
  238. Mon Mar 10 08:54:05 2025 elapsed time 05:26:58
  239.  
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