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Sep 26th, 2024
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  1. Thu Sep 26 08:02:29 2024
  2. Thu Sep 26 08:02:29 2024
  3. Thu Sep 26 08:02:29 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Thu Sep 26 08:02:29 2024 random seeds: 5fc00338 34340ec2
  5. Thu Sep 26 08:02:29 2024 MPI process 0 of 1
  6. Thu Sep 26 08:02:29 2024 Using 16 OpenMP threads
  7. Thu Sep 26 08:02:29 2024 factoring 5303099198620275292990458215345327736804429290866583833970822633147401817470654600610176308291825127661519376623525335080092906807304315700679673983854544275741 (160 digits)
  8. Thu Sep 26 08:02:30 2024 searching for 15-digit factors
  9. Thu Sep 26 08:02:30 2024 commencing number field sieve (160-digit input)
  10. Thu Sep 26 08:02:30 2024 R0: -19945457768697937550181029360258
  11. Thu Sep 26 08:02:30 2024 R1: 42314718004313189
  12. Thu Sep 26 08:02:30 2024 A0: -220073201002827624553542141185184567431025
  13. Thu Sep 26 08:02:30 2024 A1: 76347724355281825716246844599568939
  14. Thu Sep 26 08:02:30 2024 A2: -6155290339078893728162291755
  15. Thu Sep 26 08:02:30 2024 A3: -32626614658000255827
  16. Thu Sep 26 08:02:30 2024 A4: 780349816772
  17. Thu Sep 26 08:02:30 2024 A5: 1680
  18. Thu Sep 26 08:02:30 2024 skew 75771631.30, size 1.519e-15, alpha -8.681, combined = 1.414e-12 rroots = 5
  19. Thu Sep 26 08:02:30 2024
  20. Thu Sep 26 08:02:30 2024 commencing relation filtering
  21. Thu Sep 26 08:02:30 2024 setting target matrix density to 130.0
  22. Thu Sep 26 08:02:30 2024 estimated available RAM is 257736.5 MB
  23. Thu Sep 26 08:02:30 2024 commencing duplicate removal, pass 1
  24. Thu Sep 26 08:02:52 2024 error -1 reading relation 12161589
  25. Thu Sep 26 08:03:04 2024 error -1 reading relation 18857149
  26. Thu Sep 26 08:03:38 2024 error -1 reading relation 37812476
  27. Thu Sep 26 08:03:52 2024 error -1 reading relation 45386307
  28. Thu Sep 26 08:04:01 2024 error -1 reading relation 50563120
  29. Thu Sep 26 08:04:06 2024 error -1 reading relation 53053518
  30. Thu Sep 26 08:05:09 2024 error -1 reading relation 84704765
  31. Thu Sep 26 08:05:11 2024 error -1 reading relation 85786472
  32. Thu Sep 26 08:06:17 2024 error -1 reading relation 118942956
  33. Thu Sep 26 08:06:17 2024 error -1 reading relation 118942957
  34. Thu Sep 26 08:06:28 2024 error -1 reading relation 122226420
  35. Thu Sep 26 08:07:04 2024 skipped 59 malformed relations
  36. Thu Sep 26 08:07:04 2024 found 24868848 hash collisions in 132780472 relations
  37. Thu Sep 26 08:07:39 2024 added 121759 free relations
  38. Thu Sep 26 08:07:39 2024 commencing duplicate removal, pass 2
  39. Thu Sep 26 08:11:05 2024 found 25295685 duplicates and 107606546 unique relations
  40. Thu Sep 26 08:11:05 2024 memory use: 852.8 MB
  41. Thu Sep 26 08:11:05 2024 reading ideals above 720000
  42. Thu Sep 26 08:11:05 2024 commencing singleton removal, initial pass
  43. Thu Sep 26 08:21:59 2024 memory use: 2756.0 MB
  44. Thu Sep 26 08:21:59 2024 reading all ideals from disk
  45. Thu Sep 26 08:22:02 2024 memory use: 4820.5 MB
  46. Thu Sep 26 08:22:15 2024 keeping 91755715 ideals with weight <= 200, target excess is 560695
  47. Thu Sep 26 08:22:32 2024 commencing in-memory singleton removal
  48. Thu Sep 26 08:22:35 2024 begin with 107606546 relations and 91755715 unique ideals
  49. Thu Sep 26 08:22:50 2024 reduce to 75408488 relations and 56701585 ideals in 12 passes
  50. Thu Sep 26 08:22:50 2024 max relations containing the same ideal: 167
  51. Thu Sep 26 08:23:25 2024 removing 8159235 relations and 6159235 ideals in 2000000 cliques
  52. Thu Sep 26 08:23:29 2024 commencing in-memory singleton removal
  53. Thu Sep 26 08:23:32 2024 begin with 67249253 relations and 56701585 unique ideals
  54. Thu Sep 26 08:23:40 2024 reduce to 66563018 relations and 49834016 ideals in 7 passes
  55. Thu Sep 26 08:23:40 2024 max relations containing the same ideal: 154
  56. Thu Sep 26 08:24:07 2024 removing 6465887 relations and 4465887 ideals in 2000000 cliques
  57. Thu Sep 26 08:24:10 2024 commencing in-memory singleton removal
  58. Thu Sep 26 08:24:13 2024 begin with 60097131 relations and 49834016 unique ideals
  59. Thu Sep 26 08:24:19 2024 reduce to 59620124 relations and 44877363 ideals in 7 passes
  60. Thu Sep 26 08:24:19 2024 max relations containing the same ideal: 144
  61. Thu Sep 26 08:24:45 2024 removing 6019847 relations and 4019847 ideals in 2000000 cliques
  62. Thu Sep 26 08:24:49 2024 commencing in-memory singleton removal
  63. Thu Sep 26 08:24:50 2024 begin with 53600277 relations and 44877363 unique ideals
  64. Thu Sep 26 08:24:54 2024 reduce to 53174278 relations and 40418517 ideals in 6 passes
  65. Thu Sep 26 08:24:54 2024 max relations containing the same ideal: 138
  66. Thu Sep 26 08:25:18 2024 removing 5793967 relations and 3793967 ideals in 2000000 cliques
  67. Thu Sep 26 08:25:21 2024 commencing in-memory singleton removal
  68. Thu Sep 26 08:25:22 2024 begin with 47380311 relations and 40418517 unique ideals
  69. Thu Sep 26 08:25:27 2024 reduce to 46966503 relations and 36197039 ideals in 7 passes
  70. Thu Sep 26 08:25:27 2024 max relations containing the same ideal: 122
  71. Thu Sep 26 08:25:49 2024 removing 5661091 relations and 3661091 ideals in 2000000 cliques
  72. Thu Sep 26 08:25:52 2024 commencing in-memory singleton removal
  73. Thu Sep 26 08:25:53 2024 begin with 41305412 relations and 36197039 unique ideals
  74. Thu Sep 26 08:25:57 2024 reduce to 40880593 relations and 32095561 ideals in 7 passes
  75. Thu Sep 26 08:25:57 2024 max relations containing the same ideal: 113
  76. Thu Sep 26 08:26:15 2024 removing 5571310 relations and 3571310 ideals in 2000000 cliques
  77. Thu Sep 26 08:26:18 2024 commencing in-memory singleton removal
  78. Thu Sep 26 08:26:19 2024 begin with 35309283 relations and 32095561 unique ideals
  79. Thu Sep 26 08:26:22 2024 reduce to 34855362 relations and 28051593 ideals in 7 passes
  80. Thu Sep 26 08:26:22 2024 max relations containing the same ideal: 101
  81. Thu Sep 26 08:26:41 2024 removing 5517984 relations and 3517984 ideals in 2000000 cliques
  82. Thu Sep 26 08:26:43 2024 commencing in-memory singleton removal
  83. Thu Sep 26 08:26:44 2024 begin with 29337378 relations and 28051593 unique ideals
  84. Thu Sep 26 08:26:47 2024 reduce to 28834946 relations and 24007138 ideals in 8 passes
  85. Thu Sep 26 08:26:47 2024 max relations containing the same ideal: 88
  86. Thu Sep 26 08:27:02 2024 removing 5485955 relations and 3485955 ideals in 2000000 cliques
  87. Thu Sep 26 08:27:04 2024 commencing in-memory singleton removal
  88. Thu Sep 26 08:27:04 2024 begin with 23348991 relations and 24007138 unique ideals
  89. Thu Sep 26 08:27:06 2024 reduce to 22763873 relations and 19902620 ideals in 7 passes
  90. Thu Sep 26 08:27:06 2024 max relations containing the same ideal: 78
  91. Thu Sep 26 08:27:17 2024 removing 5462199 relations and 3462199 ideals in 2000000 cliques
  92. Thu Sep 26 08:27:19 2024 commencing in-memory singleton removal
  93. Thu Sep 26 08:27:19 2024 begin with 17301674 relations and 19902620 unique ideals
  94. Thu Sep 26 08:27:21 2024 reduce to 16565387 relations and 15650125 ideals in 8 passes
  95. Thu Sep 26 08:27:21 2024 max relations containing the same ideal: 64
  96. Thu Sep 26 08:27:30 2024 removing 1061246 relations and 796391 ideals in 264855 cliques
  97. Thu Sep 26 08:27:31 2024 commencing in-memory singleton removal
  98. Thu Sep 26 08:27:31 2024 begin with 15504141 relations and 15650125 unique ideals
  99. Thu Sep 26 08:27:33 2024 reduce to 15447062 relations and 14795770 ideals in 6 passes
  100. Thu Sep 26 08:27:33 2024 max relations containing the same ideal: 64
  101. Thu Sep 26 08:27:43 2024 relations with 0 large ideals: 1874
  102. Thu Sep 26 08:27:43 2024 relations with 1 large ideals: 14761
  103. Thu Sep 26 08:27:43 2024 relations with 2 large ideals: 187189
  104. Thu Sep 26 08:27:43 2024 relations with 3 large ideals: 972903
  105. Thu Sep 26 08:27:43 2024 relations with 4 large ideals: 2637278
  106. Thu Sep 26 08:27:43 2024 relations with 5 large ideals: 4137055
  107. Thu Sep 26 08:27:43 2024 relations with 6 large ideals: 4006304
  108. Thu Sep 26 08:27:43 2024 relations with 7+ large ideals: 3489698
  109. Thu Sep 26 08:27:43 2024 commencing 2-way merge
  110. Thu Sep 26 08:27:53 2024 reduce to 10406998 relation sets and 9755706 unique ideals
  111. Thu Sep 26 08:27:53 2024 commencing full merge
  112. Thu Sep 26 08:32:36 2024 memory use: 1236.7 MB
  113. Thu Sep 26 08:32:37 2024 found 4602606 cycles, need 4555906
  114. Thu Sep 26 08:32:39 2024 weight of 4555906 cycles is about 593176700 (130.20/cycle)
  115. Thu Sep 26 08:32:39 2024 distribution of cycle lengths:
  116. Thu Sep 26 08:32:39 2024 1 relations: 84159
  117. Thu Sep 26 08:32:39 2024 2 relations: 214894
  118. Thu Sep 26 08:32:39 2024 3 relations: 282122
  119. Thu Sep 26 08:32:39 2024 4 relations: 312286
  120. Thu Sep 26 08:32:39 2024 5 relations: 337052
  121. Thu Sep 26 08:32:39 2024 6 relations: 344540
  122. Thu Sep 26 08:32:39 2024 7 relations: 344741
  123. Thu Sep 26 08:32:39 2024 8 relations: 332773
  124. Thu Sep 26 08:32:39 2024 9 relations: 316510
  125. Thu Sep 26 08:32:39 2024 10+ relations: 1986829
  126. Thu Sep 26 08:32:39 2024 heaviest cycle: 28 relations
  127. Thu Sep 26 08:32:41 2024 commencing cycle optimization
  128. Thu Sep 26 08:32:54 2024 start with 42822033 relations
  129. Thu Sep 26 08:35:10 2024 pruned 2344016 relations
  130. Thu Sep 26 08:35:10 2024 memory use: 1079.9 MB
  131. Thu Sep 26 08:35:10 2024 distribution of cycle lengths:
  132. Thu Sep 26 08:35:10 2024 1 relations: 84159
  133. Thu Sep 26 08:35:10 2024 2 relations: 221784
  134. Thu Sep 26 08:35:10 2024 3 relations: 296566
  135. Thu Sep 26 08:35:10 2024 4 relations: 328991
  136. Thu Sep 26 08:35:10 2024 5 relations: 358930
  137. Thu Sep 26 08:35:10 2024 6 relations: 366621
  138. Thu Sep 26 08:35:10 2024 7 relations: 368709
  139. Thu Sep 26 08:35:10 2024 8 relations: 353924
  140. Thu Sep 26 08:35:10 2024 9 relations: 336670
  141. Thu Sep 26 08:35:10 2024 10+ relations: 1839552
  142. Thu Sep 26 08:35:10 2024 heaviest cycle: 28 relations
  143. Thu Sep 26 08:35:19 2024 RelProcTime: 1969
  144. Thu Sep 26 08:35:19 2024 elapsed time 00:32:50
  145. Thu Sep 26 08:43:32 2024
  146. Thu Sep 26 08:43:32 2024
  147. Thu Sep 26 08:43:32 2024 Msieve v. 1.54 (SVN Unversioned directory)
  148. Thu Sep 26 08:43:32 2024 random seeds: e011c683 941a6cc1
  149. Thu Sep 26 08:43:32 2024 MPI process 0 of 1
  150. Thu Sep 26 08:43:32 2024 Using 64 OpenMP threads
  151. Thu Sep 26 08:43:32 2024 factoring 5303099198620275292990458215345327736804429290866583833970822633147401817470654600610176308291825127661519376623525335080092906807304315700679673983854544275741 (160 digits)
  152. Thu Sep 26 08:43:33 2024 searching for 15-digit factors
  153. Thu Sep 26 08:43:33 2024 commencing number field sieve (160-digit input)
  154. Thu Sep 26 08:43:33 2024 R0: -19945457768697937550181029360258
  155. Thu Sep 26 08:43:33 2024 R1: 42314718004313189
  156. Thu Sep 26 08:43:33 2024 A0: -220073201002827624553542141185184567431025
  157. Thu Sep 26 08:43:33 2024 A1: 76347724355281825716246844599568939
  158. Thu Sep 26 08:43:33 2024 A2: -6155290339078893728162291755
  159. Thu Sep 26 08:43:33 2024 A3: -32626614658000255827
  160. Thu Sep 26 08:43:33 2024 A4: 780349816772
  161. Thu Sep 26 08:43:33 2024 A5: 1680
  162. Thu Sep 26 08:43:33 2024 skew 75771631.30, size 1.519e-15, alpha -8.681, combined = 1.414e-12 rroots = 5
  163. Thu Sep 26 08:43:33 2024
  164. Thu Sep 26 08:43:33 2024 commencing linear algebra
  165. Thu Sep 26 08:43:33 2024 using VBITS=256
  166. Thu Sep 26 08:43:33 2024 initialized process (0,0) of 1 x 1 grid
  167. Thu Sep 26 08:43:34 2024 read 4555906 cycles
  168. Thu Sep 26 08:43:45 2024 cycles contain 15140680 unique relations
  169. Thu Sep 26 08:46:25 2024 read 15140680 relations
  170. Thu Sep 26 08:46:27 2024 using 20 quadratic characters above 4294917295
  171. Thu Sep 26 08:46:30 2024 building initial matrix
  172. Thu Sep 26 08:51:19 2024 memory use: 2105.8 MB
  173. Thu Sep 26 08:51:24 2024 read 4555906 cycles
  174. Thu Sep 26 08:51:25 2024 matrix is 4555727 x 4555906 (2281.3 MB) with weight 702064037 (154.10/col)
  175. Thu Sep 26 08:51:25 2024 sparse part has weight 543358047 (119.26/col)
  176. Thu Sep 26 08:52:30 2024 filtering completed in 2 passes
  177. Thu Sep 26 08:52:32 2024 matrix is 4555615 x 4555793 (2281.3 MB) with weight 702057390 (154.10/col)
  178. Thu Sep 26 08:52:32 2024 sparse part has weight 543355456 (119.27/col)
  179. Thu Sep 26 08:53:03 2024 matrix starts at (0, 0)
  180. Thu Sep 26 08:53:04 2024 matrix is 4555615 x 4555793 (2281.3 MB) with weight 702057390 (154.10/col)
  181. Thu Sep 26 08:53:04 2024 sparse part has weight 543355456 (119.27/col)
  182. Thu Sep 26 08:53:04 2024 saving the first 240 matrix rows for later
  183. Thu Sep 26 08:53:05 2024 matrix includes 256 packed rows
  184. Thu Sep 26 08:53:06 2024 matrix is 4555375 x 4555793 (2025.3 MB) with weight 491966928 (107.99/col)
  185. Thu Sep 26 08:53:06 2024 sparse part has weight 458026615 (100.54/col)
  186. Thu Sep 26 08:53:06 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  187. Thu Sep 26 08:53:17 2024 commencing Lanczos iteration (64 threads)
  188. Thu Sep 26 08:53:17 2024 memory use: 2869.6 MB
  189. Thu Sep 26 08:54:34 2024 linear algebra at 0.7%, ETA 3h 7m
  190. Thu Sep 26 08:55:31 2024 checking every 30000 dimensions, checkpointing every 2100000 dimensions
  191. Thu Sep 26 11:09:17 2024 lanczos halted after 17850 iterations (dim = 4555375)
  192. Thu Sep 26 11:09:33 2024 recovered 32 nontrivial dependencies
  193. Thu Sep 26 11:09:33 2024 BLanczosTime: 8760
  194. Thu Sep 26 11:09:33 2024
  195. Thu Sep 26 11:09:33 2024 commencing square root phase
  196. Thu Sep 26 11:09:33 2024 reading relations for dependency 1
  197. Thu Sep 26 11:09:33 2024 read 2279786 cycles
  198. Thu Sep 26 11:09:37 2024 cycles contain 7575184 unique relations
  199. Thu Sep 26 11:11:20 2024 read 7575184 relations
  200. Thu Sep 26 11:11:45 2024 multiplying 7575184 relations
  201. Thu Sep 26 11:12:24 2024 multiply complete, coefficients have about 380.30 million bits
  202. Thu Sep 26 11:12:25 2024 initial square root is modulo 6664787
  203. Thu Sep 26 11:14:20 2024 GCD is N, no factor found
  204. Thu Sep 26 11:14:20 2024 reading relations for dependency 2
  205. Thu Sep 26 11:14:20 2024 read 2279181 cycles
  206. Thu Sep 26 11:14:24 2024 cycles contain 7576340 unique relations
  207. Thu Sep 26 11:16:06 2024 read 7576340 relations
  208. Thu Sep 26 11:16:31 2024 multiplying 7576340 relations
  209. Thu Sep 26 11:17:09 2024 multiply complete, coefficients have about 380.35 million bits
  210. Thu Sep 26 11:17:10 2024 initial square root is modulo 6680357
  211. Thu Sep 26 11:19:05 2024 GCD is N, no factor found
  212. Thu Sep 26 11:19:05 2024 reading relations for dependency 3
  213. Thu Sep 26 11:19:05 2024 read 2278671 cycles
  214. Thu Sep 26 11:19:08 2024 cycles contain 7570618 unique relations
  215. Thu Sep 26 11:20:51 2024 read 7570618 relations
  216. Thu Sep 26 11:21:16 2024 multiplying 7570618 relations
  217. Thu Sep 26 11:21:53 2024 multiply complete, coefficients have about 380.07 million bits
  218. Thu Sep 26 11:21:54 2024 initial square root is modulo 6602689
  219. Thu Sep 26 11:23:47 2024 GCD is 1, no factor found
  220. Thu Sep 26 11:23:47 2024 reading relations for dependency 4
  221. Thu Sep 26 11:23:48 2024 read 2278351 cycles
  222. Thu Sep 26 11:23:51 2024 cycles contain 7572500 unique relations
  223. Thu Sep 26 11:25:33 2024 read 7572500 relations
  224. Thu Sep 26 11:25:57 2024 multiplying 7572500 relations
  225. Thu Sep 26 11:26:33 2024 multiply complete, coefficients have about 380.16 million bits
  226. Thu Sep 26 11:26:34 2024 initial square root is modulo 6626161
  227. Thu Sep 26 11:28:26 2024 GCD is 1, no factor found
  228. Thu Sep 26 11:28:26 2024 reading relations for dependency 5
  229. Thu Sep 26 11:28:27 2024 read 2278494 cycles
  230. Thu Sep 26 11:28:30 2024 cycles contain 7572370 unique relations
  231. Thu Sep 26 11:30:14 2024 read 7572370 relations
  232. Thu Sep 26 11:30:38 2024 multiplying 7572370 relations
  233. Thu Sep 26 11:31:15 2024 multiply complete, coefficients have about 380.16 million bits
  234. Thu Sep 26 11:31:16 2024 initial square root is modulo 6626947
  235. Thu Sep 26 11:33:17 2024 GCD is N, no factor found
  236. Thu Sep 26 11:33:17 2024 reading relations for dependency 6
  237. Thu Sep 26 11:33:17 2024 read 2277017 cycles
  238. Thu Sep 26 11:33:20 2024 cycles contain 7568952 unique relations
  239. Thu Sep 26 11:35:04 2024 read 7568952 relations
  240. Thu Sep 26 11:35:28 2024 multiplying 7568952 relations
  241. Thu Sep 26 11:36:04 2024 multiply complete, coefficients have about 379.98 million bits
  242. Thu Sep 26 11:36:05 2024 initial square root is modulo 6578101
  243. Thu Sep 26 11:38:04 2024 sqrtTime: 1711
  244. Thu Sep 26 11:38:04 2024 p66 factor: 122326341821871258496456771737144220880726392777275807255119796227
  245. Thu Sep 26 11:38:04 2024 p95 factor: 43352062357448108783517937919752968956664430318949450739623417274373011579565233601548594290783
  246. Thu Sep 26 11:38:04 2024 elapsed time 02:54:32
  247.  
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