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Apr 22nd, 2024
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  1. Wed Apr 17 13:51:06 2024
  2. Wed Apr 17 13:51:06 2024
  3. Wed Apr 17 13:51:06 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Apr 17 13:51:06 2024 random seeds: 517f2a3c a4d6c221
  5. Wed Apr 17 13:51:06 2024 Using 32 OpenMP threads
  6. Wed Apr 17 13:51:06 2024 factoring 987718717893325986360518593967940461082035766997989212328526595338397224389577457611448944915438070037967804334845779972170711271203776230189567128022661753422826979 (165 digits)
  7. Wed Apr 17 13:51:07 2024 searching for 15-digit factors
  8. Wed Apr 17 13:51:07 2024 commencing number field sieve (165-digit input)
  9. Wed Apr 17 13:51:07 2024 R0: -132971134532000666098234634220159
  10. Wed Apr 17 13:51:07 2024 R1: 137868404834939737
  11. Wed Apr 17 13:51:07 2024 A0: -26057130586156670278840194820164406438240
  12. Wed Apr 17 13:51:07 2024 A1: -7938313760218787310249164049743484
  13. Wed Apr 17 13:51:07 2024 A2: -162302606585758059941982442
  14. Wed Apr 17 13:51:07 2024 A3: 9995080450716359505
  15. Wed Apr 17 13:51:07 2024 A4: -1241724431902
  16. Wed Apr 17 13:51:07 2024 A5: 23760
  17. Wed Apr 17 13:51:07 2024 skew 22451819.17, size 5.248e-16, alpha -7.403, combined = 7.822e-13 rroots = 3
  18. Wed Apr 17 13:51:07 2024
  19. Wed Apr 17 13:51:07 2024 commencing relation filtering
  20. Wed Apr 17 13:51:07 2024 setting target matrix density to 140.0
  21. Wed Apr 17 13:51:07 2024 estimated available RAM is 515996.3 MB
  22. Wed Apr 17 13:51:07 2024 commencing duplicate removal, pass 1
  23. Wed Apr 17 13:54:20 2024 error -1 reading relation 135579422
  24. Wed Apr 17 13:54:20 2024 error -15 reading relation 135642025
  25. Wed Apr 17 13:54:21 2024 error -1 reading relation 136594912
  26. Wed Apr 17 13:54:28 2024 error -1 reading relation 141302839
  27. Wed Apr 17 13:54:28 2024 error -1 reading relation 141614405
  28. Wed Apr 17 13:54:56 2024 error -1 reading relation 161100390
  29. Wed Apr 17 13:55:01 2024 error -1 reading relation 164708066
  30. Wed Apr 17 13:55:02 2024 error -1 reading relation 165518018
  31. Wed Apr 17 13:55:02 2024 error -1 reading relation 165783926
  32. Wed Apr 17 13:55:11 2024 error -1 reading relation 172095719
  33. Wed Apr 17 13:55:58 2024 error -1 reading relation 204801286
  34. Wed Apr 17 13:55:58 2024 error -1 reading relation 205146734
  35. Wed Apr 17 13:56:01 2024 error -1 reading relation 206684317
  36. Wed Apr 17 13:56:14 2024 error -1 reading relation 215984272
  37. Wed Apr 17 13:56:22 2024 error -1 reading relation 221168563
  38. Wed Apr 17 13:56:31 2024 error -1 reading relation 227781550
  39. Wed Apr 17 13:56:32 2024 error -1 reading relation 228576130
  40. Wed Apr 17 13:56:38 2024 error -1 reading relation 232869509
  41. Wed Apr 17 13:56:42 2024 error -1 reading relation 235811200
  42. Wed Apr 17 13:56:51 2024 error -1 reading relation 242181336
  43. Wed Apr 17 13:56:52 2024 error -1 reading relation 242602064
  44. Wed Apr 17 13:56:56 2024 skipped 1 relations with b > 2^32
  45. Wed Apr 17 13:56:56 2024 skipped 185 malformed relations
  46. Wed Apr 17 13:56:56 2024 found 47709616 hash collisions in 245702850 relations
  47. Wed Apr 17 13:57:18 2024 added 121395 free relations
  48. Wed Apr 17 13:57:18 2024 commencing duplicate removal, pass 2
  49. Wed Apr 17 14:01:58 2024 found 45458811 duplicates and 200365434 unique relations
  50. Wed Apr 17 14:01:58 2024 memory use: 1449.5 MB
  51. Wed Apr 17 14:01:58 2024 reading ideals above 720000
  52. Wed Apr 17 14:01:58 2024 commencing singleton removal, initial pass
  53. Wed Apr 17 14:12:02 2024 memory use: 5512.0 MB
  54. Wed Apr 17 14:12:02 2024 reading all ideals from disk
  55. Wed Apr 17 14:12:05 2024 memory use: 9083.3 MB
  56. Wed Apr 17 14:12:23 2024 keeping 194398996 ideals with weight <= 200, target excess is 1070808
  57. Wed Apr 17 14:12:46 2024 commencing in-memory singleton removal
  58. Wed Apr 17 14:12:48 2024 begin with 200365434 relations and 194398996 unique ideals
  59. Wed Apr 17 14:12:58 2024 reduce to 97803284 relations and 79026524 ideals in 15 passes
  60. Wed Apr 17 14:12:58 2024 max relations containing the same ideal: 128
  61. Wed Apr 17 14:13:28 2024 removing 11168210 relations and 9168210 ideals in 2000000 cliques
  62. Wed Apr 17 14:13:33 2024 commencing in-memory singleton removal
  63. Wed Apr 17 14:13:34 2024 begin with 86635074 relations and 79026524 unique ideals
  64. Wed Apr 17 14:13:38 2024 reduce to 85715263 relations and 68915607 ideals in 9 passes
  65. Wed Apr 17 14:13:38 2024 max relations containing the same ideal: 118
  66. Wed Apr 17 14:14:05 2024 removing 8507144 relations and 6507144 ideals in 2000000 cliques
  67. Wed Apr 17 14:14:09 2024 commencing in-memory singleton removal
  68. Wed Apr 17 14:14:10 2024 begin with 77208119 relations and 68915607 unique ideals
  69. Wed Apr 17 14:14:13 2024 reduce to 76570905 relations and 61756486 ideals in 8 passes
  70. Wed Apr 17 14:14:13 2024 max relations containing the same ideal: 109
  71. Wed Apr 17 14:14:37 2024 removing 7722715 relations and 5722715 ideals in 2000000 cliques
  72. Wed Apr 17 14:14:40 2024 commencing in-memory singleton removal
  73. Wed Apr 17 14:14:41 2024 begin with 68848190 relations and 61756486 unique ideals
  74. Wed Apr 17 14:14:44 2024 reduce to 68269210 relations and 55440753 ideals in 8 passes
  75. Wed Apr 17 14:14:44 2024 max relations containing the same ideal: 100
  76. Wed Apr 17 14:15:06 2024 removing 7329439 relations and 5329439 ideals in 2000000 cliques
  77. Wed Apr 17 14:15:09 2024 commencing in-memory singleton removal
  78. Wed Apr 17 14:15:09 2024 begin with 60939771 relations and 55440753 unique ideals
  79. Wed Apr 17 14:15:12 2024 reduce to 60373498 relations and 49530098 ideals in 8 passes
  80. Wed Apr 17 14:15:12 2024 max relations containing the same ideal: 94
  81. Wed Apr 17 14:15:32 2024 removing 7090725 relations and 5090725 ideals in 2000000 cliques
  82. Wed Apr 17 14:15:35 2024 commencing in-memory singleton removal
  83. Wed Apr 17 14:15:35 2024 begin with 53282773 relations and 49530098 unique ideals
  84. Wed Apr 17 14:15:37 2024 reduce to 52703803 relations and 43843487 ideals in 7 passes
  85. Wed Apr 17 14:15:37 2024 max relations containing the same ideal: 88
  86. Wed Apr 17 14:15:54 2024 removing 6936036 relations and 4936036 ideals in 2000000 cliques
  87. Wed Apr 17 14:15:57 2024 commencing in-memory singleton removal
  88. Wed Apr 17 14:15:57 2024 begin with 45767767 relations and 43843487 unique ideals
  89. Wed Apr 17 14:15:59 2024 reduce to 45155330 relations and 38274449 ideals in 8 passes
  90. Wed Apr 17 14:15:59 2024 max relations containing the same ideal: 79
  91. Wed Apr 17 14:16:14 2024 removing 6825314 relations and 4825314 ideals in 2000000 cliques
  92. Wed Apr 17 14:16:16 2024 commencing in-memory singleton removal
  93. Wed Apr 17 14:16:16 2024 begin with 38330016 relations and 38274449 unique ideals
  94. Wed Apr 17 14:16:18 2024 reduce to 37655166 relations and 32748486 ideals in 7 passes
  95. Wed Apr 17 14:16:18 2024 max relations containing the same ideal: 69
  96. Wed Apr 17 14:16:30 2024 removing 6748299 relations and 4748299 ideals in 2000000 cliques
  97. Wed Apr 17 14:16:32 2024 commencing in-memory singleton removal
  98. Wed Apr 17 14:16:32 2024 begin with 30906867 relations and 32748486 unique ideals
  99. Wed Apr 17 14:16:33 2024 reduce to 30133661 relations and 27191329 ideals in 8 passes
  100. Wed Apr 17 14:16:33 2024 max relations containing the same ideal: 58
  101. Wed Apr 17 14:16:43 2024 removing 5874587 relations and 4174393 ideals in 1700194 cliques
  102. Wed Apr 17 14:16:45 2024 commencing in-memory singleton removal
  103. Wed Apr 17 14:16:45 2024 begin with 24259074 relations and 27191329 unique ideals
  104. Wed Apr 17 14:16:46 2024 reduce to 23522489 relations and 22244146 ideals in 8 passes
  105. Wed Apr 17 14:16:46 2024 max relations containing the same ideal: 53
  106. Wed Apr 17 14:16:54 2024 removing 255136 relations and 218931 ideals in 36205 cliques
  107. Wed Apr 17 14:16:55 2024 commencing in-memory singleton removal
  108. Wed Apr 17 14:16:55 2024 begin with 23267353 relations and 22244146 unique ideals
  109. Wed Apr 17 14:16:56 2024 reduce to 23265790 relations and 22023652 ideals in 5 passes
  110. Wed Apr 17 14:16:56 2024 max relations containing the same ideal: 53
  111. Wed Apr 17 14:16:58 2024 relations with 0 large ideals: 3378
  112. Wed Apr 17 14:16:58 2024 relations with 1 large ideals: 52705
  113. Wed Apr 17 14:16:58 2024 relations with 2 large ideals: 572752
  114. Wed Apr 17 14:16:58 2024 relations with 3 large ideals: 2485754
  115. Wed Apr 17 14:16:58 2024 relations with 4 large ideals: 5474287
  116. Wed Apr 17 14:16:58 2024 relations with 5 large ideals: 6764517
  117. Wed Apr 17 14:16:58 2024 relations with 6 large ideals: 4997194
  118. Wed Apr 17 14:16:58 2024 relations with 7+ large ideals: 2915203
  119. Wed Apr 17 14:16:58 2024 commencing 2-way merge
  120. Wed Apr 17 14:17:09 2024 reduce to 14287170 relation sets and 13045032 unique ideals
  121. Wed Apr 17 14:17:09 2024 commencing full merge
  122. Wed Apr 17 14:20:55 2024 memory use: 1603.6 MB
  123. Wed Apr 17 14:20:56 2024 found 6151171 cycles, need 6099232
  124. Wed Apr 17 14:20:58 2024 weight of 6099232 cycles is about 854495595 (140.10/cycle)
  125. Wed Apr 17 14:20:58 2024 distribution of cycle lengths:
  126. Wed Apr 17 14:20:58 2024 1 relations: 157814
  127. Wed Apr 17 14:20:58 2024 2 relations: 279344
  128. Wed Apr 17 14:20:58 2024 3 relations: 346774
  129. Wed Apr 17 14:20:58 2024 4 relations: 373307
  130. Wed Apr 17 14:20:58 2024 5 relations: 399215
  131. Wed Apr 17 14:20:58 2024 6 relations: 405278
  132. Wed Apr 17 14:20:58 2024 7 relations: 409935
  133. Wed Apr 17 14:20:58 2024 8 relations: 399726
  134. Wed Apr 17 14:20:58 2024 9 relations: 389080
  135. Wed Apr 17 14:20:58 2024 10+ relations: 2938759
  136. Wed Apr 17 14:20:58 2024 heaviest cycle: 28 relations
  137. Wed Apr 17 14:20:59 2024 commencing cycle optimization
  138. Wed Apr 17 14:21:11 2024 start with 61515749 relations
  139. Wed Apr 17 14:23:13 2024 pruned 2981796 relations
  140. Wed Apr 17 14:23:13 2024 memory use: 1577.6 MB
  141. Wed Apr 17 14:23:13 2024 distribution of cycle lengths:
  142. Wed Apr 17 14:23:13 2024 1 relations: 157814
  143. Wed Apr 17 14:23:13 2024 2 relations: 287559
  144. Wed Apr 17 14:23:13 2024 3 relations: 362095
  145. Wed Apr 17 14:23:13 2024 4 relations: 390433
  146. Wed Apr 17 14:23:13 2024 5 relations: 420170
  147. Wed Apr 17 14:23:13 2024 6 relations: 427081
  148. Wed Apr 17 14:23:13 2024 7 relations: 433947
  149. Wed Apr 17 14:23:13 2024 8 relations: 422328
  150. Wed Apr 17 14:23:13 2024 9 relations: 410646
  151. Wed Apr 17 14:23:13 2024 10+ relations: 2787159
  152. Wed Apr 17 14:23:13 2024 heaviest cycle: 28 relations
  153. Wed Apr 17 14:23:20 2024 RelProcTime: 1933
  154. Wed Apr 17 14:23:20 2024 elapsed time 00:32:14
  155. Wed Apr 17 14:23:58 2024
  156. Wed Apr 17 14:23:58 2024
  157. Wed Apr 17 14:23:58 2024 Msieve v. 1.54 (SVN Unversioned directory)
  158. Wed Apr 17 14:23:58 2024 random seeds: 346aa2b7 b9f23254
  159. Wed Apr 17 14:23:58 2024 Using 64 OpenMP threads
  160. Wed Apr 17 14:23:58 2024 factoring 987718717893325986360518593967940461082035766997989212328526595338397224389577457611448944915438070037967804334845779972170711271203776230189567128022661753422826979 (165 digits)
  161. Wed Apr 17 14:23:59 2024 searching for 15-digit factors
  162. Wed Apr 17 14:23:59 2024 commencing number field sieve (165-digit input)
  163. Wed Apr 17 14:23:59 2024 R0: -132971134532000666098234634220159
  164. Wed Apr 17 14:23:59 2024 R1: 137868404834939737
  165. Wed Apr 17 14:23:59 2024 A0: -26057130586156670278840194820164406438240
  166. Wed Apr 17 14:23:59 2024 A1: -7938313760218787310249164049743484
  167. Wed Apr 17 14:23:59 2024 A2: -162302606585758059941982442
  168. Wed Apr 17 14:23:59 2024 A3: 9995080450716359505
  169. Wed Apr 17 14:23:59 2024 A4: -1241724431902
  170. Wed Apr 17 14:23:59 2024 A5: 23760
  171. Wed Apr 17 14:23:59 2024 skew 22451819.17, size 5.248e-16, alpha -7.403, combined = 7.822e-13 rroots = 3
  172. Wed Apr 17 14:23:59 2024
  173. Wed Apr 17 14:23:59 2024 commencing linear algebra
  174. Wed Apr 17 14:23:59 2024 using VBITS=256
  175. Wed Apr 17 14:24:00 2024 read 6099232 cycles
  176. Wed Apr 17 14:24:10 2024 cycles contain 22547244 unique relations
  177. Wed Apr 17 14:27:39 2024 read 22547244 relations
  178. Wed Apr 17 14:27:40 2024 using 20 quadratic characters above 4294917295
  179. Wed Apr 17 14:27:43 2024 building initial matrix
  180. Wed Apr 17 14:32:15 2024 memory use: 3144.3 MB
  181. Wed Apr 17 14:32:19 2024 read 6099232 cycles
  182. Wed Apr 17 14:32:20 2024 matrix is 6099052 x 6099232 (3281.8 MB) with weight 998380746 (163.69/col)
  183. Wed Apr 17 14:32:20 2024 sparse part has weight 787108126 (129.05/col)
  184. Wed Apr 17 14:33:27 2024 filtering completed in 2 passes
  185. Wed Apr 17 14:33:28 2024 matrix is 6098857 x 6099035 (3281.8 MB) with weight 998368221 (163.69/col)
  186. Wed Apr 17 14:33:28 2024 sparse part has weight 787102963 (129.05/col)
  187. Wed Apr 17 14:33:47 2024 matrix starts at (0, 0)
  188. Wed Apr 17 14:33:48 2024 matrix is 6098857 x 6099035 (3281.8 MB) with weight 998368221 (163.69/col)
  189. Wed Apr 17 14:33:48 2024 sparse part has weight 787102963 (129.05/col)
  190. Wed Apr 17 14:33:48 2024 saving the first 240 matrix rows for later
  191. Wed Apr 17 14:33:50 2024 matrix includes 256 packed rows
  192. Wed Apr 17 14:33:52 2024 matrix is 6098617 x 6099035 (2938.6 MB) with weight 718689853 (117.84/col)
  193. Wed Apr 17 14:33:52 2024 sparse part has weight 672744261 (110.30/col)
  194. Wed Apr 17 14:33:52 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  195. Wed Apr 17 14:34:05 2024 commencing Lanczos iteration (64 threads)
  196. Wed Apr 17 14:34:05 2024 memory use: 3866.7 MB
  197. Sun Apr 21 04:26:21 2024
  198. Sun Apr 21 04:26:21 2024
  199. Sun Apr 21 04:26:21 2024 Msieve v. 1.54 (SVN Unversioned directory)
  200. Sun Apr 21 04:26:21 2024 random seeds: bf30dca7 e19207ee
  201. Sun Apr 21 04:26:21 2024 Using 64 OpenMP threads
  202. Sun Apr 21 04:26:21 2024 factoring 987718717893325986360518593967940461082035766997989212328526595338397224389577457611448944915438070037967804334845779972170711271203776230189567128022661753422826979 (165 digits)
  203. Sun Apr 21 04:26:21 2024 searching for 15-digit factors
  204. Sun Apr 21 04:26:22 2024 commencing number field sieve (165-digit input)
  205. Sun Apr 21 04:26:22 2024 R0: -132971134532000666098234634220159
  206. Sun Apr 21 04:26:22 2024 R1: 137868404834939737
  207. Sun Apr 21 04:26:22 2024 A0: -26057130586156670278840194820164406438240
  208. Sun Apr 21 04:26:22 2024 A1: -7938313760218787310249164049743484
  209. Sun Apr 21 04:26:22 2024 A2: -162302606585758059941982442
  210. Sun Apr 21 04:26:22 2024 A3: 9995080450716359505
  211. Sun Apr 21 04:26:22 2024 A4: -1241724431902
  212. Sun Apr 21 04:26:22 2024 A5: 23760
  213. Sun Apr 21 04:26:22 2024 skew 22451819.17, size 5.248e-16, alpha -7.403, combined = 7.822e-13 rroots = 3
  214. Sun Apr 21 04:26:22 2024
  215. Sun Apr 21 04:26:22 2024 commencing linear algebra
  216. Sun Apr 21 04:26:22 2024 using VBITS=256
  217. Sun Apr 21 04:26:22 2024 skipping matrix build
  218. Sun Apr 21 04:26:24 2024 matrix starts at (0, 0)
  219. Sun Apr 21 04:26:25 2024 matrix is 6098857 x 6099035 (3281.8 MB) with weight 998368221 (163.69/col)
  220. Sun Apr 21 04:26:25 2024 sparse part has weight 787102963 (129.05/col)
  221. Sun Apr 21 04:26:25 2024 saving the first 240 matrix rows for later
  222. Sun Apr 21 04:26:26 2024 matrix includes 256 packed rows
  223. Sun Apr 21 04:26:28 2024 matrix is 6098617 x 6099035 (2938.6 MB) with weight 718689853 (117.84/col)
  224. Sun Apr 21 04:26:28 2024 sparse part has weight 672744261 (110.30/col)
  225. Sun Apr 21 04:26:28 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  226. Sun Apr 21 04:26:42 2024 commencing Lanczos iteration (64 threads)
  227. Sun Apr 21 04:26:42 2024 memory use: 3866.7 MB
  228. Sun Apr 21 04:27:43 2024 linear algebra at 0.5%, ETA 3h18m
  229. Sun Apr 21 04:29:09 2024 checking every 30000 dimensions, checkpointing every 1920000 dimensions
  230. Sun Apr 21 07:37:29 2024 lanczos halted after 23896 iterations (dim = 6098615)
  231. Sun Apr 21 07:37:55 2024 recovered 30 nontrivial dependencies
  232. Sun Apr 21 07:37:55 2024 BLanczosTime: 11493
  233. Sun Apr 21 07:37:55 2024
  234. Sun Apr 21 07:37:55 2024 commencing square root phase
  235. Sun Apr 21 07:37:55 2024 handling dependencies 1 to 64
  236. Sun Apr 21 07:37:55 2024 reading relations for dependency 1
  237. Sun Apr 21 07:37:56 2024 read 3050734 cycles
  238. Sun Apr 21 07:38:01 2024 cycles contain 11278736 unique relations
  239. Sun Apr 21 07:41:23 2024 read 11278736 relations
  240. Sun Apr 21 07:42:00 2024 multiplying 11278736 relations
  241. Sun Apr 21 07:46:33 2024 multiply complete, coefficients have about 580.69 million bits
  242. Sun Apr 21 07:46:35 2024 initial square root is modulo 162079
  243. Sun Apr 21 07:49:44 2024 GCD is 1, no factor found
  244. Sun Apr 21 07:49:44 2024 reading relations for dependency 2
  245. Sun Apr 21 07:49:45 2024 read 3046388 cycles
  246. Sun Apr 21 07:49:50 2024 cycles contain 11262732 unique relations
  247. Sun Apr 21 07:53:18 2024 read 11262732 relations
  248. Sun Apr 21 07:53:55 2024 multiplying 11262732 relations
  249. Sun Apr 21 07:58:43 2024 multiply complete, coefficients have about 579.87 million bits
  250. Sun Apr 21 07:58:45 2024 initial square root is modulo 159361
  251. Sun Apr 21 08:03:34 2024 sqrtTime: 1539
  252. Sun Apr 21 08:03:34 2024 p82 factor: 8278678874146828479421687853830493240025400890502662819139615180903581953987378263
  253. Sun Apr 21 08:03:34 2024 p84 factor: 119308736684766843629520365272276700578444778212867434150895241202060367517084386133
  254. Sun Apr 21 08:03:34 2024 elapsed time 03:37:13
  255.  
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