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Mar 17th, 2023
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  1. Thu Mar 16 16:38:23 2023 Msieve v. 1.54 (SVN unknown)
  2. Thu Mar 16 16:38:23 2023 random seeds: 47137111 389b8cdc
  3. Thu Mar 16 16:38:23 2023 factoring 36654583430002748303894807105666907135842544429814343766980734743740039320523817078040070758934117153814118026659034192984370193312966861967087757268900197168075513651 (167 digits)
  4. Thu Mar 16 16:38:25 2023 searching for 15-digit factors
  5. Thu Mar 16 16:38:26 2023 commencing number field sieve (167-digit input)
  6. Thu Mar 16 16:38:26 2023 R0: -220878876187229736739090952931087
  7. Thu Mar 16 16:38:26 2023 R1: 405340673777016709
  8. Thu Mar 16 16:38:26 2023 A0: -422407670009262712055320324856842388317640
  9. Thu Mar 16 16:38:26 2023 A1: 75790884415825079144298204508157848
  10. Thu Mar 16 16:38:26 2023 A2: -349814003775074523636948910
  11. Thu Mar 16 16:38:26 2023 A3: -218804639743187930416
  12. Thu Mar 16 16:38:26 2023 A4: -886406798883
  13. Thu Mar 16 16:38:26 2023 A5: 69720
  14. Thu Mar 16 16:38:26 2023 skew 30131624.45, size 2.853e-16, alpha -7.130, combined = 5.346e-13 rroots = 5
  15. Thu Mar 16 16:38:26 2023
  16. Thu Mar 16 16:38:26 2023 commencing relation filtering
  17. Thu Mar 16 16:38:26 2023 setting target matrix density to 120.0
  18. Thu Mar 16 16:38:26 2023 estimated available RAM is 31804.8 MB
  19. Thu Mar 16 16:38:26 2023 commencing duplicate removal, pass 1
  20. Thu Mar 16 16:39:12 2023 error -15 reading relation 14697908
  21. Thu Mar 16 16:40:13 2023 error -15 reading relation 39167338
  22. Thu Mar 16 16:40:24 2023 error -9 reading relation 43850471
  23. Thu Mar 16 16:40:33 2023 error -9 reading relation 47346971
  24. Thu Mar 16 16:40:34 2023 error -9 reading relation 47828750
  25. Thu Mar 16 16:40:41 2023 error -9 reading relation 50158027
  26. Thu Mar 16 16:40:52 2023 error -9 reading relation 53756151
  27. Thu Mar 16 16:41:06 2023 error -9 reading relation 59180812
  28. Thu Mar 16 16:41:08 2023 error -1 reading relation 60075321
  29. Thu Mar 16 16:41:20 2023 error -9 reading relation 64906238
  30. Thu Mar 16 16:41:24 2023 error -15 reading relation 66419461
  31. Thu Mar 16 16:41:24 2023 error -15 reading relation 66631923
  32. Thu Mar 16 16:41:24 2023 error -15 reading relation 66640505
  33. Thu Mar 16 16:41:25 2023 error -15 reading relation 66642192
  34. Thu Mar 16 16:41:29 2023 error -15 reading relation 68277025
  35. Thu Mar 16 16:41:29 2023 error -9 reading relation 68283338
  36. Thu Mar 16 16:41:31 2023 error -15 reading relation 69211639
  37. Thu Mar 16 16:41:33 2023 error -9 reading relation 70060047
  38. Thu Mar 16 16:41:37 2023 error -1 reading relation 71840816
  39. Thu Mar 16 16:41:43 2023 error -9 reading relation 74111272
  40. Thu Mar 16 16:41:49 2023 error -15 reading relation 76532667
  41. Thu Mar 16 16:41:51 2023 error -9 reading relation 77314996
  42. Thu Mar 16 16:42:08 2023 error -15 reading relation 84372849
  43. Thu Mar 16 16:42:13 2023 error -9 reading relation 86443137
  44. Thu Mar 16 16:42:16 2023 error -15 reading relation 87713393
  45. Thu Mar 16 16:42:18 2023 error -15 reading relation 88206230
  46. Thu Mar 16 16:42:18 2023 error -9 reading relation 88469931
  47. Thu Mar 16 16:42:24 2023 error -1 reading relation 90958382
  48. Thu Mar 16 16:42:30 2023 error -1 reading relation 93349158
  49. Thu Mar 16 16:42:36 2023 error -1 reading relation 95685906
  50. Thu Mar 16 16:42:36 2023 error -15 reading relation 95739000
  51. Thu Mar 16 16:42:36 2023 error -15 reading relation 95848102
  52. Thu Mar 16 16:42:40 2023 error -9 reading relation 97515014
  53. Thu Mar 16 16:42:44 2023 error -15 reading relation 99125953
  54. Thu Mar 16 16:42:45 2023 error -5 reading relation 99548195
  55. Thu Mar 16 16:42:45 2023 error -9 reading relation 99548428
  56. Thu Mar 16 16:42:50 2023 error -1 reading relation 101359984
  57. Thu Mar 16 16:42:50 2023 error -15 reading relation 101530518
  58. Thu Mar 16 16:43:01 2023 error -15 reading relation 105713277
  59. Thu Mar 16 16:43:01 2023 error -1 reading relation 105744487
  60. Thu Mar 16 16:43:06 2023 error -15 reading relation 107890548
  61. Thu Mar 16 16:43:08 2023 error -15 reading relation 108562786
  62. Thu Mar 16 16:43:08 2023 error -15 reading relation 108613952
  63. Thu Mar 16 16:43:09 2023 error -9 reading relation 109063975
  64. Thu Mar 16 16:43:09 2023 error -9 reading relation 109238687
  65. Thu Mar 16 16:43:10 2023 error -5 reading relation 109407064
  66. Thu Mar 16 16:43:10 2023 error -1 reading relation 109477727
  67. Thu Mar 16 16:43:10 2023 error -1 reading relation 109491810
  68. Thu Mar 16 16:43:10 2023 error -15 reading relation 109525190
  69. Thu Mar 16 16:43:10 2023 error -9 reading relation 109572083
  70. Thu Mar 16 16:43:11 2023 error -9 reading relation 110119810
  71. Thu Mar 16 16:43:13 2023 error -15 reading relation 110614134
  72. Thu Mar 16 16:43:14 2023 error -9 reading relation 111247601
  73. Thu Mar 16 16:43:15 2023 error -15 reading relation 111759725
  74. Thu Mar 16 16:43:16 2023 error -15 reading relation 111839728
  75. Thu Mar 16 16:43:18 2023 error -15 reading relation 112733616
  76. Thu Mar 16 16:43:19 2023 error -5 reading relation 113116021
  77. Thu Mar 16 16:43:24 2023 error -1 reading relation 115306025
  78. Thu Mar 16 16:43:24 2023 error -9 reading relation 115430641
  79. Thu Mar 16 16:43:27 2023 error -9 reading relation 116471401
  80. Thu Mar 16 16:43:28 2023 error -15 reading relation 116699712
  81. Thu Mar 16 16:43:33 2023 error -1 reading relation 118973307
  82. Thu Mar 16 16:43:41 2023 error -9 reading relation 122009980
  83. Thu Mar 16 16:43:41 2023 error -15 reading relation 122015291
  84. Thu Mar 16 16:43:42 2023 error -15 reading relation 122693291
  85. Thu Mar 16 16:43:43 2023 skipped 40 relations with composite factors
  86. Thu Mar 16 16:43:43 2023 found 28110242 hash collisions in 122885236 relations
  87. Thu Mar 16 16:44:45 2023 added 121669 free relations
  88. Thu Mar 16 16:44:45 2023 commencing duplicate removal, pass 2
  89. Thu Mar 16 16:54:23 2023 found 29258471 duplicates and 93748434 unique relations
  90. Thu Mar 16 16:54:23 2023 memory use: 724.8 MB
  91. Thu Mar 16 16:54:24 2023 reading ideals above 720000
  92. Thu Mar 16 16:54:24 2023 commencing singleton removal, initial pass
  93. Thu Mar 16 17:21:38 2023 memory use: 2756.0 MB
  94. Thu Mar 16 17:21:38 2023 reading all ideals from disk
  95. Thu Mar 16 17:21:46 2023 memory use: 4293.7 MB
  96. Thu Mar 16 17:22:46 2023 keeping 90065949 ideals with weight <= 200, target excess is 492011
  97. Thu Mar 16 17:23:58 2023 commencing in-memory singleton removal
  98. Thu Mar 16 17:24:02 2023 begin with 93748434 relations and 90065949 unique ideals
  99. Thu Mar 16 17:24:19 2023 reduce to 57814840 relations and 50236761 ideals in 15 passes
  100. Thu Mar 16 17:24:19 2023 max relations containing the same ideal: 152
  101. Thu Mar 16 17:25:06 2023 removing 5878988 relations and 4878988 ideals in 1000000 cliques
  102. Thu Mar 16 17:25:17 2023 commencing in-memory singleton removal
  103. Thu Mar 16 17:25:20 2023 begin with 51935852 relations and 50236761 unique ideals
  104. Thu Mar 16 17:25:33 2023 reduce to 51491266 relations and 44903542 ideals in 9 passes
  105. Thu Mar 16 17:25:33 2023 max relations containing the same ideal: 143
  106. Thu Mar 16 17:26:25 2023 removing 4487638 relations and 3487638 ideals in 1000000 cliques
  107. Thu Mar 16 17:26:35 2023 commencing in-memory singleton removal
  108. Thu Mar 16 17:26:37 2023 begin with 47003628 relations and 44903542 unique ideals
  109. Thu Mar 16 17:26:45 2023 reduce to 46705681 relations and 41112322 ideals in 8 passes
  110. Thu Mar 16 17:26:45 2023 max relations containing the same ideal: 137
  111. Thu Mar 16 17:27:35 2023 removing 4068291 relations and 3068291 ideals in 1000000 cliques
  112. Thu Mar 16 17:27:44 2023 commencing in-memory singleton removal
  113. Thu Mar 16 17:27:46 2023 begin with 42637390 relations and 41112322 unique ideals
  114. Thu Mar 16 17:27:55 2023 reduce to 42368333 relations and 37769637 ideals in 9 passes
  115. Thu Mar 16 17:27:55 2023 max relations containing the same ideal: 131
  116. Thu Mar 16 17:28:28 2023 removing 3858256 relations and 2858256 ideals in 1000000 cliques
  117. Thu Mar 16 17:28:36 2023 commencing in-memory singleton removal
  118. Thu Mar 16 17:28:38 2023 begin with 38510077 relations and 37769637 unique ideals
  119. Thu Mar 16 17:28:45 2023 reduce to 38248285 relations and 34644000 ideals in 7 passes
  120. Thu Mar 16 17:28:45 2023 max relations containing the same ideal: 119
  121. Thu Mar 16 17:29:09 2023 removing 3729577 relations and 2729577 ideals in 1000000 cliques
  122. Thu Mar 16 17:29:16 2023 commencing in-memory singleton removal
  123. Thu Mar 16 17:29:18 2023 begin with 34518708 relations and 34644000 unique ideals
  124. Thu Mar 16 17:29:26 2023 reduce to 34251266 relations and 31640885 ideals in 8 passes
  125. Thu Mar 16 17:29:26 2023 max relations containing the same ideal: 113
  126. Thu Mar 16 17:29:47 2023 removing 3650844 relations and 2650844 ideals in 1000000 cliques
  127. Thu Mar 16 17:29:54 2023 commencing in-memory singleton removal
  128. Thu Mar 16 17:29:55 2023 begin with 30600422 relations and 31640885 unique ideals
  129. Thu Mar 16 17:30:03 2023 reduce to 30316913 relations and 28699374 ideals in 8 passes
  130. Thu Mar 16 17:30:03 2023 max relations containing the same ideal: 101
  131. Thu Mar 16 17:30:14 2023 removing 3605154 relations and 2605154 ideals in 1000000 cliques
  132. Thu Mar 16 17:30:16 2023 commencing in-memory singleton removal
  133. Thu Mar 16 17:30:17 2023 begin with 26711759 relations and 28699374 unique ideals
  134. Thu Mar 16 17:30:22 2023 reduce to 26398610 relations and 25772251 ideals in 8 passes
  135. Thu Mar 16 17:30:22 2023 max relations containing the same ideal: 92
  136. Thu Mar 16 17:30:33 2023 removing 337020 relations and 281394 ideals in 55626 cliques
  137. Thu Mar 16 17:30:34 2023 commencing in-memory singleton removal
  138. Thu Mar 16 17:30:35 2023 begin with 26061590 relations and 25772251 unique ideals
  139. Thu Mar 16 17:30:38 2023 reduce to 26059041 relations and 25488301 ideals in 5 passes
  140. Thu Mar 16 17:30:38 2023 max relations containing the same ideal: 91
  141. Thu Mar 16 17:30:50 2023 relations with 0 large ideals: 1584
  142. Thu Mar 16 17:30:50 2023 relations with 1 large ideals: 6778
  143. Thu Mar 16 17:30:50 2023 relations with 2 large ideals: 97987
  144. Thu Mar 16 17:30:50 2023 relations with 3 large ideals: 662528
  145. Thu Mar 16 17:30:50 2023 relations with 4 large ideals: 2418963
  146. Thu Mar 16 17:30:50 2023 relations with 5 large ideals: 5253800
  147. Thu Mar 16 17:30:50 2023 relations with 6 large ideals: 7149405
  148. Thu Mar 16 17:30:50 2023 relations with 7+ large ideals: 10467996
  149. Thu Mar 16 17:30:50 2023 commencing 2-way merge
  150. Thu Mar 16 17:31:57 2023 reduce to 17336401 relation sets and 16765661 unique ideals
  151. Thu Mar 16 17:31:57 2023 commencing full merge
  152. Thu Mar 16 18:08:50 2023 memory use: 2063.2 MB
  153. Thu Mar 16 18:09:00 2023 found 7766405 cycles, need 7725861
  154. Thu Mar 16 18:09:14 2023 weight of 7725861 cycles is about 927723904 (120.08/cycle)
  155. Thu Mar 16 18:09:14 2023 distribution of cycle lengths:
  156. Thu Mar 16 18:09:14 2023 1 relations: 296589
  157. Thu Mar 16 18:09:14 2023 2 relations: 494199
  158. Thu Mar 16 18:09:14 2023 3 relations: 591076
  159. Thu Mar 16 18:09:14 2023 4 relations: 603712
  160. Thu Mar 16 18:09:14 2023 5 relations: 615014
  161. Thu Mar 16 18:09:14 2023 6 relations: 591503
  162. Thu Mar 16 18:09:14 2023 7 relations: 576314
  163. Thu Mar 16 18:09:14 2023 8 relations: 538338
  164. Thu Mar 16 18:09:14 2023 9 relations: 500915
  165. Thu Mar 16 18:09:14 2023 10+ relations: 2918201
  166. Thu Mar 16 18:09:14 2023 heaviest cycle: 28 relations
  167. Thu Mar 16 18:09:25 2023 commencing cycle optimization
  168. Thu Mar 16 18:11:12 2023 start with 66321019 relations
  169. Thu Mar 16 18:24:27 2023 pruned 3032546 relations
  170. Thu Mar 16 18:24:28 2023 memory use: 1766.4 MB
  171. Thu Mar 16 18:24:28 2023 distribution of cycle lengths:
  172. Thu Mar 16 18:24:28 2023 1 relations: 296589
  173. Thu Mar 16 18:24:28 2023 2 relations: 509369
  174. Thu Mar 16 18:24:28 2023 3 relations: 619803
  175. Thu Mar 16 18:24:28 2023 4 relations: 631360
  176. Thu Mar 16 18:24:28 2023 5 relations: 647752
  177. Thu Mar 16 18:24:28 2023 6 relations: 620175
  178. Thu Mar 16 18:24:28 2023 7 relations: 604052
  179. Thu Mar 16 18:24:28 2023 8 relations: 560989
  180. Thu Mar 16 18:24:28 2023 9 relations: 519938
  181. Thu Mar 16 18:24:28 2023 10+ relations: 2715834
  182. Thu Mar 16 18:24:28 2023 heaviest cycle: 28 relations
  183. Thu Mar 16 18:25:46 2023 RelProcTime: 6440
  184. Thu Mar 16 18:25:53 2023
  185. Thu Mar 16 18:25:53 2023 commencing linear algebra
  186. Thu Mar 16 18:25:53 2023 using VBITS=256
  187. Thu Mar 16 18:25:57 2023 read 7725861 cycles
  188. Thu Mar 16 18:27:45 2023 cycles contain 25758998 unique relations
  189. Thu Mar 16 18:33:28 2023 read 25758998 relations
  190. Thu Mar 16 18:33:38 2023 using 20 quadratic characters above 4294917295
  191. Thu Mar 16 18:33:49 2023 building initial matrix
  192. Thu Mar 16 19:09:47 2023 memory use: 3594.1 MB
  193. Thu Mar 16 19:10:10 2023 read 7725861 cycles
  194. Thu Mar 16 19:10:16 2023 matrix is 7725683 x 7725861 (3640.2 MB) with weight 1108184672 (143.44/col)
  195. Thu Mar 16 19:10:16 2023 sparse part has weight 861540668 (111.51/col)
  196. Thu Mar 16 19:18:48 2023 filtering completed in 2 passes
  197. Thu Mar 16 19:18:56 2023 matrix is 7725465 x 7725641 (3640.2 MB) with weight 1108174172 (143.44/col)
  198. Thu Mar 16 19:18:56 2023 sparse part has weight 861537460 (111.52/col)
  199. Thu Mar 16 19:20:43 2023 matrix starts at (0, 0)
  200. Thu Mar 16 19:20:49 2023 matrix is 7725465 x 7725641 (3640.2 MB) with weight 1108174172 (143.44/col)
  201. Thu Mar 16 19:20:49 2023 sparse part has weight 861537460 (111.52/col)
  202. Thu Mar 16 19:20:49 2023 saving the first 240 matrix rows for later
  203. Thu Mar 16 19:20:55 2023 matrix includes 256 packed rows
  204. Thu Mar 16 19:21:07 2023 matrix is 7725225 x 7725641 (3251.5 MB) with weight 782519727 (101.29/col)
  205. Thu Mar 16 19:21:07 2023 sparse part has weight 728760458 (94.33/col)
  206. Thu Mar 16 19:21:07 2023 using block size 8192 and superblock size 337920 for processor cache size 14080 kB
  207. Thu Mar 16 19:22:25 2023 commencing Lanczos iteration (20 threads)
  208. Thu Mar 16 19:22:25 2023 memory use: 4469.8 MB
  209. Thu Mar 16 19:27:07 2023 linear algebra at 0.4%, ETA 18h58m
  210. Thu Mar 16 19:33:52 2023 checking every 10000 dimensions, checkpointing every 410000 dimensions
  211. Fri Mar 17 14:10:14 2023 lanczos halted after 30268 iterations (dim = 7725224)
  212. Fri Mar 17 14:12:06 2023 recovered 29 nontrivial dependencies
  213. Fri Mar 17 14:12:08 2023 BLanczosTime: 71175
  214. Fri Mar 17 14:12:08 2023
  215. Fri Mar 17 14:12:08 2023 commencing square root phase
  216. Fri Mar 17 14:12:08 2023 handling dependencies 1 to 64
  217. Fri Mar 17 14:12:08 2023 reading relations for dependency 1
  218. Fri Mar 17 14:12:12 2023 read 3862500 cycles
  219. Fri Mar 17 14:13:00 2023 cycles contain 12881080 unique relations
  220. Fri Mar 17 14:18:25 2023 read 12881080 relations
  221. Fri Mar 17 14:25:01 2023 multiplying 12881080 relations
  222. Fri Mar 17 14:56:09 2023 multiply complete, coefficients have about 689.93 million bits
  223. Fri Mar 17 14:56:18 2023 initial square root is modulo 1547773
  224. Fri Mar 17 15:16:05 2023 GCD is N, no factor found
  225. Fri Mar 17 15:16:05 2023 reading relations for dependency 2
  226. Fri Mar 17 15:16:08 2023 read 3858926 cycles
  227. Fri Mar 17 15:16:57 2023 cycles contain 12872024 unique relations
  228. Fri Mar 17 15:22:24 2023 read 12872024 relations
  229. Fri Mar 17 15:28:55 2023 multiplying 12872024 relations
  230. Fri Mar 17 16:00:10 2023 multiply complete, coefficients have about 689.44 million bits
  231. Fri Mar 17 16:00:19 2023 initial square root is modulo 1532353
  232. Fri Mar 17 16:20:03 2023 sqrtTime: 7675
  233. Fri Mar 17 16:20:03 2023 p72 factor: 130126614157797858172923722307047265834601083927037270981050239175697091
  234. Fri Mar 17 16:20:03 2023 p96 factor: 281683986532944125844890839533378011819993789131641356366619355619675787684870975854756535102161
  235. Fri Mar 17 16:20:03 2023 elapsed time 23:41:40
  236.  
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