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Dec 29th, 2022
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  1. Sun Dec 18 20:23:45 2022
  2. Sun Dec 18 20:23:45 2022
  3. Sun Dec 18 20:23:45 2022 Msieve v. 1.54 (SVN unknown)
  4. Sun Dec 18 20:23:45 2022 random seeds: b6c9d9d4 70ce7dc2
  5. Sun Dec 18 20:23:45 2022 factoring 13412430154895484141862818606541773755250877526911498036451802532740000933585379389777742933827265930661389244830186926816851949173431811572533147379816321246734456628640519 (173 digits)
  6. Sun Dec 18 20:23:46 2022 searching for 15-digit factors
  7. Sun Dec 18 20:23:47 2022 commencing number field sieve (173-digit input)
  8. Sun Dec 18 20:23:47 2022 R0: -1481961035514585249264277307725565
  9. Sun Dec 18 20:23:47 2022 R1: 2873252762515349443
  10. Sun Dec 18 20:23:47 2022 A0: 29566114166770514028944559431151323845968
  11. Sun Dec 18 20:23:47 2022 A1: 35325849076340889040277016898908978
  12. Sun Dec 18 20:23:47 2022 A2: 8735032240722787163675795955
  13. Sun Dec 18 20:23:47 2022 A3: -251146757830927681580
  14. Sun Dec 18 20:23:47 2022 A4: -55178061598008
  15. Sun Dec 18 20:23:47 2022 A5: 1876392
  16. Sun Dec 18 20:23:47 2022 skew 11021533.76, size 7.770e-17, alpha -6.460, combined = 2.436e-13 rroots = 5
  17. Sun Dec 18 20:23:47 2022
  18. Sun Dec 18 20:23:47 2022 commencing relation filtering
  19. Sun Dec 18 20:23:47 2022 setting target matrix density to 110.0
  20. Sun Dec 18 20:23:47 2022 estimated available RAM is 15536.6 MB
  21. Sun Dec 18 20:23:47 2022 commencing duplicate removal, pass 1
  22. Sun Dec 18 20:48:02 2022 skipped 50 relations with composite factors
  23. Sun Dec 18 20:48:02 2022 found 80931204 hash collisions in 360889414 relations
  24. Sun Dec 18 20:48:37 2022 commencing duplicate removal, pass 2
  25. Sun Dec 18 20:57:37 2022 found 80252277 duplicates and 280637137 unique relations
  26. Sun Dec 18 20:57:37 2022 memory use: 2387.0 MB
  27. Sun Dec 18 20:57:37 2022 reading ideals above 136511488
  28. Sun Dec 18 20:57:37 2022 commencing singleton removal, initial pass
  29. Sun Dec 18 21:19:36 2022 memory use: 6024.0 MB
  30. Sun Dec 18 21:19:36 2022 reading all ideals from disk
  31. Sun Dec 18 21:20:12 2022 memory use: 7371.2 MB
  32. Sun Dec 18 21:20:32 2022 commencing in-memory singleton removal
  33. Sun Dec 18 21:20:42 2022 begin with 280637137 relations and 275442404 unique ideals
  34. Sun Dec 18 21:21:35 2022 reduce to 128639817 relations and 101419537 ideals in 19 passes
  35. Sun Dec 18 21:21:35 2022 max relations containing the same ideal: 26
  36. Sun Dec 18 21:21:43 2022 reading ideals above 720000
  37. Sun Dec 18 21:21:43 2022 commencing singleton removal, initial pass
  38. Sun Dec 18 21:39:20 2022 memory use: 3012.0 MB
  39. Sun Dec 18 21:39:20 2022 reading all ideals from disk
  40. Sun Dec 18 21:39:55 2022 memory use: 6039.0 MB
  41. Sun Dec 18 21:40:13 2022 keeping 116188927 ideals with weight <= 200, target excess is 680130
  42. Sun Dec 18 21:40:35 2022 commencing in-memory singleton removal
  43. Sun Dec 18 21:40:44 2022 begin with 128639817 relations and 116188927 unique ideals
  44. Sun Dec 18 21:41:31 2022 reduce to 128609101 relations and 116158210 ideals in 14 passes
  45. Sun Dec 18 21:41:31 2022 max relations containing the same ideal: 200
  46. Sun Dec 18 21:42:44 2022 removing 15537172 relations and 13537172 ideals in 2000000 cliques
  47. Sun Dec 18 21:42:51 2022 commencing in-memory singleton removal
  48. Sun Dec 18 21:43:00 2022 begin with 113071929 relations and 116158210 unique ideals
  49. Sun Dec 18 21:43:35 2022 reduce to 111480905 relations and 100995601 ideals in 12 passes
  50. Sun Dec 18 21:43:35 2022 max relations containing the same ideal: 191
  51. Sun Dec 18 21:44:39 2022 removing 11728416 relations and 9728416 ideals in 2000000 cliques
  52. Sun Dec 18 21:44:45 2022 commencing in-memory singleton removal
  53. Sun Dec 18 21:44:52 2022 begin with 99752489 relations and 100995601 unique ideals
  54. Sun Dec 18 21:45:18 2022 reduce to 98675916 relations and 90169944 ideals in 10 passes
  55. Sun Dec 18 21:45:18 2022 max relations containing the same ideal: 176
  56. Sun Dec 18 21:46:14 2022 removing 10588551 relations and 8588551 ideals in 2000000 cliques
  57. Sun Dec 18 21:46:19 2022 commencing in-memory singleton removal
  58. Sun Dec 18 21:46:26 2022 begin with 88087365 relations and 90169944 unique ideals
  59. Sun Dec 18 21:46:46 2022 reduce to 87090456 relations and 80564533 ideals in 9 passes
  60. Sun Dec 18 21:46:46 2022 max relations containing the same ideal: 162
  61. Sun Dec 18 21:47:36 2022 removing 10049236 relations and 8049236 ideals in 2000000 cliques
  62. Sun Dec 18 21:47:41 2022 commencing in-memory singleton removal
  63. Sun Dec 18 21:47:46 2022 begin with 77041220 relations and 80564533 unique ideals
  64. Sun Dec 18 21:48:06 2022 reduce to 76011141 relations and 71462796 ideals in 10 passes
  65. Sun Dec 18 21:48:06 2022 max relations containing the same ideal: 149
  66. Sun Dec 18 21:48:50 2022 removing 9787278 relations and 7787278 ideals in 2000000 cliques
  67. Sun Dec 18 21:48:55 2022 commencing in-memory singleton removal
  68. Sun Dec 18 21:48:59 2022 begin with 66223863 relations and 71462796 unique ideals
  69. Sun Dec 18 21:49:14 2022 reduce to 65083281 relations and 62507566 ideals in 9 passes
  70. Sun Dec 18 21:49:14 2022 max relations containing the same ideal: 133
  71. Sun Dec 18 21:49:52 2022 removing 8910924 relations and 7124160 ideals in 1786764 cliques
  72. Sun Dec 18 21:49:57 2022 commencing in-memory singleton removal
  73. Sun Dec 18 21:50:00 2022 begin with 56172357 relations and 62507566 unique ideals
  74. Sun Dec 18 21:50:15 2022 reduce to 55052706 relations and 54235766 ideals in 11 passes
  75. Sun Dec 18 21:50:15 2022 max relations containing the same ideal: 120
  76. Sun Dec 18 21:50:48 2022 removing 313340 relations and 285351 ideals in 27989 cliques
  77. Sun Dec 18 21:50:51 2022 commencing in-memory singleton removal
  78. Sun Dec 18 21:50:54 2022 begin with 54739366 relations and 54235766 unique ideals
  79. Sun Dec 18 21:51:02 2022 reduce to 54738231 relations and 53949280 ideals in 6 passes
  80. Sun Dec 18 21:51:02 2022 max relations containing the same ideal: 120
  81. Sun Dec 18 21:51:11 2022 relations with 0 large ideals: 2349
  82. Sun Dec 18 21:51:11 2022 relations with 1 large ideals: 7000
  83. Sun Dec 18 21:51:11 2022 relations with 2 large ideals: 117499
  84. Sun Dec 18 21:51:11 2022 relations with 3 large ideals: 933695
  85. Sun Dec 18 21:51:11 2022 relations with 4 large ideals: 4015639
  86. Sun Dec 18 21:51:11 2022 relations with 5 large ideals: 10142346
  87. Sun Dec 18 21:51:11 2022 relations with 6 large ideals: 15485819
  88. Sun Dec 18 21:51:11 2022 relations with 7+ large ideals: 24033884
  89. Sun Dec 18 21:51:11 2022 commencing 2-way merge
  90. Sun Dec 18 21:51:48 2022 reduce to 31714303 relation sets and 30925352 unique ideals
  91. Sun Dec 18 21:51:48 2022 commencing full merge
  92. Sun Dec 18 22:01:37 2022 memory use: 3200.2 MB
  93. Sun Dec 18 22:01:40 2022 found 13957231 cycles, need 13937552
  94. Sun Dec 18 22:01:46 2022 weight of 13937552 cycles is about 1533408567 (110.02/cycle)
  95. Sun Dec 18 22:01:46 2022 distribution of cycle lengths:
  96. Sun Dec 18 22:01:46 2022 1 relations: 1031101
  97. Sun Dec 18 22:01:46 2022 2 relations: 1087425
  98. Sun Dec 18 22:01:46 2022 3 relations: 1162505
  99. Sun Dec 18 22:01:46 2022 4 relations: 1121105
  100. Sun Dec 18 22:01:46 2022 5 relations: 1105231
  101. Sun Dec 18 22:01:46 2022 6 relations: 1030534
  102. Sun Dec 18 22:01:46 2022 7 relations: 971250
  103. Sun Dec 18 22:01:46 2022 8 relations: 882303
  104. Sun Dec 18 22:01:46 2022 9 relations: 809754
  105. Sun Dec 18 22:01:46 2022 10+ relations: 4736344
  106. Sun Dec 18 22:01:46 2022 heaviest cycle: 28 relations
  107. Sun Dec 18 22:01:49 2022 commencing cycle optimization
  108. Sun Dec 18 22:02:20 2022 start with 112118829 relations
  109. Sun Dec 18 22:06:05 2022 pruned 3148991 relations
  110. Sun Dec 18 22:06:06 2022 memory use: 3382.7 MB
  111. Sun Dec 18 22:06:06 2022 distribution of cycle lengths:
  112. Sun Dec 18 22:06:06 2022 1 relations: 1031101
  113. Sun Dec 18 22:06:06 2022 2 relations: 1113419
  114. Sun Dec 18 22:06:06 2022 3 relations: 1202698
  115. Sun Dec 18 22:06:06 2022 4 relations: 1153847
  116. Sun Dec 18 22:06:06 2022 5 relations: 1138256
  117. Sun Dec 18 22:06:06 2022 6 relations: 1056657
  118. Sun Dec 18 22:06:06 2022 7 relations: 993271
  119. Sun Dec 18 22:06:06 2022 8 relations: 898265
  120. Sun Dec 18 22:06:06 2022 9 relations: 822598
  121. Sun Dec 18 22:06:06 2022 10+ relations: 4527440
  122. Sun Dec 18 22:06:06 2022 heaviest cycle: 28 relations
  123. Sun Dec 18 22:06:44 2022 RelProcTime: 6177
  124. Sun Dec 18 22:06:44 2022 elapsed time 01:42:59
  125. Sun Dec 18 23:17:29 2022
  126. Sun Dec 18 23:17:29 2022
  127. Sun Dec 18 23:17:29 2022 Msieve v. 1.54 (SVN unknown)
  128. Sun Dec 18 23:17:29 2022 random seeds: e061a6c9 07d81295
  129. Sun Dec 18 23:17:29 2022 factoring 13412430154895484141862818606541773755250877526911498036451802532740000933585379389777742933827265930661389244830186926816851949173431811572533147379816321246734456628640519 (173 digits)
  130. Sun Dec 18 23:17:30 2022 searching for 15-digit factors
  131. Sun Dec 18 23:17:31 2022 commencing number field sieve (173-digit input)
  132. Sun Dec 18 23:17:31 2022 R0: -1481961035514585249264277307725565
  133. Sun Dec 18 23:17:31 2022 R1: 2873252762515349443
  134. Sun Dec 18 23:17:31 2022 A0: 29566114166770514028944559431151323845968
  135. Sun Dec 18 23:17:31 2022 A1: 35325849076340889040277016898908978
  136. Sun Dec 18 23:17:31 2022 A2: 8735032240722787163675795955
  137. Sun Dec 18 23:17:31 2022 A3: -251146757830927681580
  138. Sun Dec 18 23:17:31 2022 A4: -55178061598008
  139. Sun Dec 18 23:17:31 2022 A5: 1876392
  140. Sun Dec 18 23:17:31 2022 skew 11021533.76, size 7.770e-17, alpha -6.460, combined = 2.436e-13 rroots = 5
  141. Sun Dec 18 23:17:31 2022
  142. Sun Dec 18 23:17:31 2022 commencing linear algebra
  143. Sun Dec 18 23:17:31 2022 using VBITS=256
  144. Sun Dec 18 23:17:33 2022 read 13937552 cycles
  145. Sun Dec 18 23:18:16 2022 cycles contain 53980513 unique relations
  146. Sun Dec 18 23:30:47 2022 read 53980513 relations
  147. Sun Dec 18 23:32:27 2022 using 20 quadratic characters above 4294917295
  148. Sun Dec 18 23:37:23 2022 building initial matrix
  149. Sun Dec 18 23:52:48 2022 memory use: 7247.4 MB
  150. Sun Dec 18 23:52:58 2022 read 13937552 cycles
  151. Sun Dec 18 23:53:01 2022 matrix is 13937374 x 13937552 (6200.2 MB) with weight 1899182930 (136.26/col)
  152. Sun Dec 18 23:53:01 2022 sparse part has weight 1458097565 (104.62/col)
  153. Sun Dec 18 23:56:23 2022 filtering completed in 2 passes
  154. Sun Dec 18 23:56:27 2022 matrix is 13935731 x 13935909 (6200.1 MB) with weight 1899110374 (136.27/col)
  155. Sun Dec 18 23:56:27 2022 sparse part has weight 1458081053 (104.63/col)
  156. Sun Dec 18 23:58:06 2022 matrix starts at (0, 0)
  157. Sun Dec 18 23:58:09 2022 matrix is 13935731 x 13935909 (6200.1 MB) with weight 1899110374 (136.27/col)
  158. Sun Dec 18 23:58:09 2022 sparse part has weight 1458081053 (104.63/col)
  159. Sun Dec 18 23:58:09 2022 saving the first 240 matrix rows for later
  160. Sun Dec 18 23:58:13 2022 matrix includes 256 packed rows
  161. Sun Dec 18 23:58:19 2022 matrix is 13935491 x 13935909 (5696.3 MB) with weight 1348927227 (96.80/col)
  162. Sun Dec 18 23:58:19 2022 sparse part has weight 1270264039 (91.15/col)
  163. Sun Dec 18 23:58:19 2022 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  164. Sun Dec 18 23:59:04 2022 commencing Lanczos iteration
  165. Sun Dec 18 23:59:04 2022 memory use: 7954.3 MB
  166. Mon Dec 19 00:04:01 2022 lanczos halted after 7 iterations (dim = 1786)
  167. Mon Dec 19 00:04:03 2022 BLanczosTime: 2792
  168. Mon Dec 19 00:04:03 2022 elapsed time 00:46:34
  169. Mon Dec 19 04:49:15 2022
  170. Mon Dec 19 04:49:15 2022
  171. Mon Dec 19 04:49:15 2022 Msieve v. 1.54 (SVN unknown)
  172. Mon Dec 19 04:49:15 2022 random seeds: 85cef1a4 b406148b
  173. Mon Dec 19 04:49:15 2022 factoring 13412430154895484141862818606541773755250877526911498036451802532740000933585379389777742933827265930661389244830186926816851949173431811572533147379816321246734456628640519 (173 digits)
  174. Mon Dec 19 04:49:16 2022 searching for 15-digit factors
  175. Mon Dec 19 04:49:16 2022 commencing number field sieve (173-digit input)
  176. Mon Dec 19 04:49:16 2022 R0: -1481961035514585249264277307725565
  177. Mon Dec 19 04:49:16 2022 R1: 2873252762515349443
  178. Mon Dec 19 04:49:16 2022 A0: 29566114166770514028944559431151323845968
  179. Mon Dec 19 04:49:16 2022 A1: 35325849076340889040277016898908978
  180. Mon Dec 19 04:49:16 2022 A2: 8735032240722787163675795955
  181. Mon Dec 19 04:49:16 2022 A3: -251146757830927681580
  182. Mon Dec 19 04:49:16 2022 A4: -55178061598008
  183. Mon Dec 19 04:49:16 2022 A5: 1876392
  184. Mon Dec 19 04:49:16 2022 skew 11021533.76, size 7.770e-17, alpha -6.460, combined = 2.436e-13 rroots = 5
  185. Mon Dec 19 04:49:16 2022
  186. Mon Dec 19 04:49:16 2022 commencing linear algebra
  187. Mon Dec 19 04:49:16 2022 using VBITS=256
  188. Mon Dec 19 04:49:16 2022 skipping matrix build
  189. Mon Dec 19 04:49:51 2022 matrix starts at (0, 0)
  190. Mon Dec 19 04:49:53 2022 matrix is 13935731 x 13935909 (6200.1 MB) with weight 1899110374 (136.27/col)
  191. Mon Dec 19 04:49:53 2022 sparse part has weight 1458081053 (104.63/col)
  192. Mon Dec 19 04:49:53 2022 saving the first 240 matrix rows for later
  193. Mon Dec 19 04:49:57 2022 matrix includes 256 packed rows
  194. Mon Dec 19 04:50:01 2022 matrix is 13935491 x 13935909 (5696.3 MB) with weight 1348927227 (96.80/col)
  195. Mon Dec 19 04:50:01 2022 sparse part has weight 1270264039 (91.15/col)
  196. Mon Dec 19 04:50:01 2022 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  197. Mon Dec 19 04:50:34 2022 commencing Lanczos iteration (8 threads)
  198. Mon Dec 19 04:50:34 2022 memory use: 7955.0 MB
  199. Mon Dec 19 05:02:20 2022 linear algebra at 0.2%, ETA 88h17m
  200. Mon Dec 19 05:19:52 2022 checking every 10000 dimensions, checkpointing every 160000 dimensions
  201. Thu Dec 22 22:47:02 2022 lanczos halted after 54600 iterations (dim = 13935491)
  202. Thu Dec 22 22:47:55 2022 recovered 30 nontrivial dependencies
  203. Thu Dec 22 22:47:56 2022 BLanczosTime: 323920
  204. Thu Dec 22 22:47:56 2022
  205. Thu Dec 22 22:47:56 2022 commencing square root phase
  206. Thu Dec 22 22:47:56 2022 handling dependencies 1 to 64
  207. Thu Dec 22 22:47:56 2022 reading relations for dependency 1
  208. Thu Dec 22 22:47:59 2022 read 6966696 cycles
  209. Thu Dec 22 22:48:14 2022 cycles contain 26979198 unique relations
  210. Thu Dec 22 22:53:53 2022 read 26979198 relations
  211. Thu Dec 22 22:56:08 2022 multiplying 26979198 relations
  212. Thu Dec 22 23:12:26 2022 multiply complete, coefficients have about 1565.90 million bits
  213. Thu Dec 22 23:12:31 2022 initial square root is modulo 10572931
  214. Thu Dec 22 23:25:44 2022 GCD is N, no factor found
  215. Thu Dec 22 23:25:44 2022 reading relations for dependency 2
  216. Thu Dec 22 23:25:50 2022 read 6963935 cycles
  217. Thu Dec 22 23:26:08 2022 cycles contain 26985828 unique relations
  218. Thu Dec 22 23:32:29 2022 read 26985828 relations
  219. Thu Dec 22 23:35:28 2022 multiplying 26985828 relations
  220. Thu Dec 22 23:56:28 2022 multiply complete, coefficients have about 1566.27 million bits
  221. Thu Dec 22 23:56:34 2022 initial square root is modulo 10613513
  222. Fri Dec 23 00:12:38 2022 GCD is N, no factor found
  223. Fri Dec 23 00:12:38 2022 reading relations for dependency 3
  224. Fri Dec 23 00:12:41 2022 read 6967459 cycles
  225. Fri Dec 23 00:13:02 2022 cycles contain 26985774 unique relations
  226. Fri Dec 23 00:19:33 2022 read 26985774 relations
  227. Fri Dec 23 00:22:32 2022 multiplying 26985774 relations
  228. Fri Dec 23 00:43:30 2022 multiply complete, coefficients have about 1566.27 million bits
  229. Fri Dec 23 00:43:36 2022 initial square root is modulo 10613453
  230. Fri Dec 23 00:59:32 2022 GCD is 1, no factor found
  231. Fri Dec 23 00:59:32 2022 reading relations for dependency 4
  232. Fri Dec 23 00:59:35 2022 read 6968396 cycles
  233. Fri Dec 23 00:59:56 2022 cycles contain 26990036 unique relations
  234. Fri Dec 23 01:06:27 2022 read 26990036 relations
  235. Fri Dec 23 01:09:25 2022 multiplying 26990036 relations
  236. Fri Dec 23 01:30:24 2022 multiply complete, coefficients have about 1566.54 million bits
  237. Fri Dec 23 01:30:30 2022 initial square root is modulo 10643627
  238. Fri Dec 23 01:46:30 2022 sqrtTime: 10714
  239. Fri Dec 23 01:46:30 2022 p61 factor: 3324613465658348738906440461565230349859103804639426631730519
  240. Fri Dec 23 01:46:30 2022 p112 factor: 4034282569519557456231196409027839934407247122146832481372332298555379644347524740586954761337790263281965890001
  241. Fri Dec 23 01:46:30 2022 elapsed time 92:57:15
  242.  
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