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May 4th, 2023
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  1. Wed May 3 12:36:03 2023
  2. Wed May 3 12:36:03 2023
  3. Wed May 3 12:36:03 2023 Msieve v. 1.54 (SVN unknown)
  4. Wed May 3 12:36:03 2023 random seeds: 55d796e8 b0020470
  5. Wed May 3 12:36:03 2023 factoring 178857079118548767504030742804745444393707933142841775689913672740728350759366495030036694506190268085550456240917623030400930663454125369007071517971389162947233 (162 digits)
  6. Wed May 3 12:36:04 2023 searching for 15-digit factors
  7. Wed May 3 12:36:05 2023 commencing number field sieve (162-digit input)
  8. Wed May 3 12:36:05 2023 R0: -14702971191937715440230988517129
  9. Wed May 3 12:36:05 2023 R1: 196638611455741991
  10. Wed May 3 12:36:05 2023 A0: 128137114734530219681652705802938110880
  11. Wed May 3 12:36:05 2023 A1: 641322982627428123810818639936384
  12. Wed May 3 12:36:05 2023 A2: 642699936032225944478815582
  13. Wed May 3 12:36:05 2023 A3: 21791776857126581843
  14. Wed May 3 12:36:05 2023 A4: -10721771659668
  15. Wed May 3 12:36:05 2023 A5: 260304
  16. Wed May 3 12:36:05 2023 skew 6840982.74, size 1.011e-15, alpha -7.249, combined = 1.120e-12 rroots = 5
  17. Wed May 3 12:36:05 2023
  18. Wed May 3 12:36:05 2023 commencing relation filtering
  19. Wed May 3 12:36:05 2023 setting target matrix density to 130.0
  20. Wed May 3 12:36:05 2023 estimated available RAM is 15536.6 MB
  21. Wed May 3 12:36:05 2023 commencing duplicate removal, pass 1
  22. Wed May 3 12:36:21 2023 error -1 reading relation 4718232
  23. Wed May 3 12:37:01 2023 error -9 reading relation 16285881
  24. Wed May 3 12:37:12 2023 error -9 reading relation 19288694
  25. Wed May 3 12:37:14 2023 error -9 reading relation 19820568
  26. Wed May 3 12:37:23 2023 error -9 reading relation 22386978
  27. Wed May 3 12:37:40 2023 error -1 reading relation 27384374
  28. Wed May 3 12:37:42 2023 error -15 reading relation 27862004
  29. Wed May 3 12:37:58 2023 error -9 reading relation 32518384
  30. Wed May 3 12:38:44 2023 error -15 reading relation 46176554
  31. Wed May 3 12:38:49 2023 error -15 reading relation 47740538
  32. Wed May 3 12:38:52 2023 error -1 reading relation 48313581
  33. Wed May 3 12:39:03 2023 error -15 reading relation 51458257
  34. Wed May 3 12:39:11 2023 error -15 reading relation 53705968
  35. Wed May 3 12:39:15 2023 error -15 reading relation 55051475
  36. Wed May 3 12:39:52 2023 error -15 reading relation 66207259
  37. Wed May 3 12:40:00 2023 error -15 reading relation 68277310
  38. Wed May 3 12:40:09 2023 error -9 reading relation 70857968
  39. Wed May 3 12:40:15 2023 error -15 reading relation 72725145
  40. Wed May 3 12:40:50 2023 error -1 reading relation 83100878
  41. Wed May 3 12:40:50 2023 error -15 reading relation 83112274
  42. Wed May 3 12:40:52 2023 error -1 reading relation 83677080
  43. Wed May 3 12:40:57 2023 error -1 reading relation 85095881
  44. Wed May 3 12:40:58 2023 error -9 reading relation 85411596
  45. Wed May 3 12:41:28 2023 error -9 reading relation 93846708
  46. Wed May 3 12:41:54 2023 error -15 reading relation 101428140
  47. Wed May 3 12:41:55 2023 error -9 reading relation 101702040
  48. Wed May 3 12:41:56 2023 error -9 reading relation 101780835
  49. Wed May 3 12:42:03 2023 error -15 reading relation 103957022
  50. Wed May 3 12:42:03 2023 error -1 reading relation 103965588
  51. Wed May 3 12:42:14 2023 error -9 reading relation 106584850
  52. Wed May 3 12:42:48 2023 error -1 reading relation 116492288
  53. Wed May 3 12:43:41 2023 skipped 20 relations with composite factors
  54. Wed May 3 12:43:41 2023 found 26860419 hash collisions in 132088785 relations
  55. Wed May 3 12:44:29 2023 commencing duplicate removal, pass 2
  56. Wed May 3 12:48:50 2023 found 26461645 duplicates and 105627140 unique relations
  57. Wed May 3 12:48:50 2023 memory use: 660.8 MB
  58. Wed May 3 12:48:50 2023 reading ideals above 76873728
  59. Wed May 3 12:48:50 2023 commencing singleton removal, initial pass
  60. Wed May 3 12:56:27 2023 memory use: 1506.0 MB
  61. Wed May 3 12:56:28 2023 reading all ideals from disk
  62. Wed May 3 12:56:29 2023 memory use: 2726.3 MB
  63. Wed May 3 12:56:37 2023 commencing in-memory singleton removal
  64. Wed May 3 12:56:40 2023 begin with 105627140 relations and 80772122 unique ideals
  65. Wed May 3 12:56:49 2023 reduce to 73899562 relations and 46132932 ideals in 11 passes
  66. Wed May 3 12:56:49 2023 max relations containing the same ideal: 32
  67. Wed May 3 12:56:55 2023 reading ideals above 720000
  68. Wed May 3 12:56:55 2023 commencing singleton removal, initial pass
  69. Wed May 3 13:06:42 2023 memory use: 1506.0 MB
  70. Wed May 3 13:06:42 2023 reading all ideals from disk
  71. Wed May 3 13:06:44 2023 memory use: 3342.8 MB
  72. Wed May 3 13:06:57 2023 keeping 54722300 ideals with weight <= 200, target excess is 406567
  73. Wed May 3 13:07:11 2023 commencing in-memory singleton removal
  74. Wed May 3 13:07:16 2023 begin with 73899563 relations and 54722300 unique ideals
  75. Wed May 3 13:07:24 2023 reduce to 73898829 relations and 54721566 ideals in 6 passes
  76. Wed May 3 13:07:24 2023 max relations containing the same ideal: 200
  77. Wed May 3 13:08:03 2023 removing 7622751 relations and 5622751 ideals in 2000000 cliques
  78. Wed May 3 13:08:08 2023 commencing in-memory singleton removal
  79. Wed May 3 13:08:12 2023 begin with 66276078 relations and 54721566 unique ideals
  80. Wed May 3 13:08:21 2023 reduce to 65757515 relations and 48562683 ideals in 7 passes
  81. Wed May 3 13:08:21 2023 max relations containing the same ideal: 194
  82. Wed May 3 13:08:56 2023 removing 5974215 relations and 3974215 ideals in 2000000 cliques
  83. Wed May 3 13:09:00 2023 commencing in-memory singleton removal
  84. Wed May 3 13:09:04 2023 begin with 59783300 relations and 48562683 unique ideals
  85. Wed May 3 13:09:11 2023 reduce to 59453081 relations and 44248493 ideals in 6 passes
  86. Wed May 3 13:09:11 2023 max relations containing the same ideal: 184
  87. Wed May 3 13:09:42 2023 removing 5494831 relations and 3494831 ideals in 2000000 cliques
  88. Wed May 3 13:09:46 2023 commencing in-memory singleton removal
  89. Wed May 3 13:09:49 2023 begin with 53958250 relations and 44248493 unique ideals
  90. Wed May 3 13:09:55 2023 reduce to 53683520 relations and 40470499 ideals in 6 passes
  91. Wed May 3 13:09:55 2023 max relations containing the same ideal: 174
  92. Wed May 3 13:10:24 2023 removing 5225546 relations and 3225546 ideals in 2000000 cliques
  93. Wed May 3 13:10:28 2023 commencing in-memory singleton removal
  94. Wed May 3 13:10:31 2023 begin with 48457974 relations and 40470499 unique ideals
  95. Wed May 3 13:10:36 2023 reduce to 48205341 relations and 36984245 ideals in 6 passes
  96. Wed May 3 13:10:36 2023 max relations containing the same ideal: 161
  97. Wed May 3 13:11:02 2023 removing 5043125 relations and 3043125 ideals in 2000000 cliques
  98. Wed May 3 13:11:05 2023 commencing in-memory singleton removal
  99. Wed May 3 13:11:08 2023 begin with 43162216 relations and 36984245 unique ideals
  100. Wed May 3 13:11:13 2023 reduce to 42914699 relations and 33684920 ideals in 6 passes
  101. Wed May 3 13:11:13 2023 max relations containing the same ideal: 152
  102. Wed May 3 13:11:35 2023 removing 4915226 relations and 2915226 ideals in 2000000 cliques
  103. Wed May 3 13:11:39 2023 commencing in-memory singleton removal
  104. Wed May 3 13:11:41 2023 begin with 37999473 relations and 33684920 unique ideals
  105. Wed May 3 13:11:45 2023 reduce to 37742397 relations and 30502772 ideals in 6 passes
  106. Wed May 3 13:11:45 2023 max relations containing the same ideal: 138
  107. Wed May 3 13:12:05 2023 removing 4833329 relations and 2833329 ideals in 2000000 cliques
  108. Wed May 3 13:12:08 2023 commencing in-memory singleton removal
  109. Wed May 3 13:12:10 2023 begin with 32909068 relations and 30502772 unique ideals
  110. Wed May 3 13:12:13 2023 reduce to 32624073 relations and 27372739 ideals in 6 passes
  111. Wed May 3 13:12:13 2023 max relations containing the same ideal: 126
  112. Wed May 3 13:12:31 2023 removing 4791542 relations and 2791542 ideals in 2000000 cliques
  113. Wed May 3 13:12:34 2023 commencing in-memory singleton removal
  114. Wed May 3 13:12:35 2023 begin with 27832531 relations and 27372739 unique ideals
  115. Wed May 3 13:12:38 2023 reduce to 27493490 relations and 24226339 ideals in 6 passes
  116. Wed May 3 13:12:38 2023 max relations containing the same ideal: 111
  117. Wed May 3 13:12:53 2023 removing 4803449 relations and 2803449 ideals in 2000000 cliques
  118. Wed May 3 13:12:56 2023 commencing in-memory singleton removal
  119. Wed May 3 13:12:57 2023 begin with 22690041 relations and 24226339 unique ideals
  120. Wed May 3 13:13:00 2023 reduce to 22243150 relations and 20952278 ideals in 7 passes
  121. Wed May 3 13:13:00 2023 max relations containing the same ideal: 95
  122. Wed May 3 13:13:12 2023 removing 2274650 relations and 1455396 ideals in 819254 cliques
  123. Wed May 3 13:13:14 2023 commencing in-memory singleton removal
  124. Wed May 3 13:13:15 2023 begin with 19968500 relations and 20952278 unique ideals
  125. Wed May 3 13:13:18 2023 reduce to 19769956 relations and 19292173 ideals in 8 passes
  126. Wed May 3 13:13:18 2023 max relations containing the same ideal: 89
  127. Wed May 3 13:13:35 2023 relations with 0 large ideals: 1033
  128. Wed May 3 13:13:35 2023 relations with 1 large ideals: 6222
  129. Wed May 3 13:13:35 2023 relations with 2 large ideals: 85647
  130. Wed May 3 13:13:35 2023 relations with 3 large ideals: 579547
  131. Wed May 3 13:13:35 2023 relations with 4 large ideals: 2043723
  132. Wed May 3 13:13:35 2023 relations with 5 large ideals: 4213457
  133. Wed May 3 13:13:35 2023 relations with 6 large ideals: 5425727
  134. Wed May 3 13:13:35 2023 relations with 7+ large ideals: 7414600
  135. Wed May 3 13:13:35 2023 commencing 2-way merge
  136. Wed May 3 13:13:49 2023 reduce to 14682766 relation sets and 14204983 unique ideals
  137. Wed May 3 13:13:49 2023 commencing full merge
  138. Wed May 3 13:21:45 2023 memory use: 1641.5 MB
  139. Wed May 3 13:21:48 2023 found 6145957 cycles, need 6119183
  140. Wed May 3 13:21:52 2023 weight of 6119183 cycles is about 795602370 (130.02/cycle)
  141. Wed May 3 13:21:52 2023 distribution of cycle lengths:
  142. Wed May 3 13:21:52 2023 1 relations: 44399
  143. Wed May 3 13:21:52 2023 2 relations: 244627
  144. Wed May 3 13:21:52 2023 3 relations: 350060
  145. Wed May 3 13:21:52 2023 4 relations: 423385
  146. Wed May 3 13:21:52 2023 5 relations: 485170
  147. Wed May 3 13:21:52 2023 6 relations: 503143
  148. Wed May 3 13:21:52 2023 7 relations: 512418
  149. Wed May 3 13:21:52 2023 8 relations: 492136
  150. Wed May 3 13:21:52 2023 9 relations: 460834
  151. Wed May 3 13:21:52 2023 10+ relations: 2603011
  152. Wed May 3 13:21:52 2023 heaviest cycle: 28 relations
  153. Wed May 3 13:21:55 2023 commencing cycle optimization
  154. Wed May 3 13:22:18 2023 start with 57217027 relations
  155. Wed May 3 13:26:06 2023 pruned 3888556 relations
  156. Wed May 3 13:26:06 2023 memory use: 1408.8 MB
  157. Wed May 3 13:26:06 2023 distribution of cycle lengths:
  158. Wed May 3 13:26:06 2023 1 relations: 44399
  159. Wed May 3 13:26:06 2023 2 relations: 253884
  160. Wed May 3 13:26:06 2023 3 relations: 368844
  161. Wed May 3 13:26:06 2023 4 relations: 451917
  162. Wed May 3 13:26:06 2023 5 relations: 525110
  163. Wed May 3 13:26:06 2023 6 relations: 547891
  164. Wed May 3 13:26:06 2023 7 relations: 560491
  165. Wed May 3 13:26:06 2023 8 relations: 534602
  166. Wed May 3 13:26:06 2023 9 relations: 497255
  167. Wed May 3 13:26:06 2023 10+ relations: 2334790
  168. Wed May 3 13:26:06 2023 heaviest cycle: 28 relations
  169. Wed May 3 13:26:23 2023 RelProcTime: 3018
  170. Wed May 3 13:26:24 2023 elapsed time 00:50:21
  171. Wed May 3 13:45:50 2023
  172. Wed May 3 13:45:50 2023
  173. Wed May 3 13:45:50 2023 Msieve v. 1.54 (SVN unknown)
  174. Wed May 3 13:45:50 2023 random seeds: 4f0f775d 6c80f3aa
  175. Wed May 3 13:45:50 2023 factoring 178857079118548767504030742804745444393707933142841775689913672740728350759366495030036694506190268085550456240917623030400930663454125369007071517971389162947233 (162 digits)
  176. Wed May 3 13:45:51 2023 searching for 15-digit factors
  177. Wed May 3 13:45:52 2023 commencing number field sieve (162-digit input)
  178. Wed May 3 13:45:52 2023 R0: -14702971191937715440230988517129
  179. Wed May 3 13:45:52 2023 R1: 196638611455741991
  180. Wed May 3 13:45:52 2023 A0: 128137114734530219681652705802938110880
  181. Wed May 3 13:45:52 2023 A1: 641322982627428123810818639936384
  182. Wed May 3 13:45:52 2023 A2: 642699936032225944478815582
  183. Wed May 3 13:45:52 2023 A3: 21791776857126581843
  184. Wed May 3 13:45:52 2023 A4: -10721771659668
  185. Wed May 3 13:45:52 2023 A5: 260304
  186. Wed May 3 13:45:52 2023 skew 6840982.74, size 1.011e-15, alpha -7.249, combined = 1.120e-12 rroots = 5
  187. Wed May 3 13:45:52 2023
  188. Wed May 3 13:45:52 2023 commencing linear algebra
  189. Wed May 3 13:45:52 2023 using VBITS=256
  190. Wed May 3 13:45:53 2023 read 6119183 cycles
  191. Wed May 3 13:46:17 2023 cycles contain 19555681 unique relations
  192. Wed May 3 13:49:28 2023 read 19555681 relations
  193. Wed May 3 13:49:33 2023 using 20 quadratic characters above 4294917295
  194. Wed May 3 13:49:48 2023 building initial matrix
  195. Wed May 3 14:00:53 2023 memory use: 2743.8 MB
  196. Wed May 3 14:01:01 2023 read 6119183 cycles
  197. Wed May 3 14:01:02 2023 matrix is 6119006 x 6119183 (3001.6 MB) with weight 913481983 (149.28/col)
  198. Wed May 3 14:01:02 2023 sparse part has weight 713418044 (116.59/col)
  199. Wed May 3 14:03:21 2023 filtering completed in 2 passes
  200. Wed May 3 14:03:23 2023 matrix is 6118960 x 6119137 (3001.6 MB) with weight 913479785 (149.28/col)
  201. Wed May 3 14:03:23 2023 sparse part has weight 713417371 (116.59/col)
  202. Wed May 3 14:04:07 2023 matrix starts at (0, 0)
  203. Wed May 3 14:04:08 2023 matrix is 6118960 x 6119137 (3001.6 MB) with weight 913479785 (149.28/col)
  204. Wed May 3 14:04:08 2023 sparse part has weight 713417371 (116.59/col)
  205. Wed May 3 14:04:08 2023 saving the first 240 matrix rows for later
  206. Wed May 3 14:04:12 2023 matrix includes 256 packed rows
  207. Wed May 3 14:04:16 2023 matrix is 6118720 x 6119137 (2682.5 MB) with weight 648284131 (105.94/col)
  208. Wed May 3 14:04:16 2023 sparse part has weight 605286056 (98.92/col)
  209. Wed May 3 14:04:16 2023 using block size 8192 and superblock size 878592 for processor cache size 36608 kB
  210. Wed May 3 14:04:46 2023 commencing Lanczos iteration (8 threads)
  211. Wed May 3 14:04:46 2023 memory use: 3635.6 MB
  212. Wed May 3 14:09:45 2023 linear algebra at 0.5%, ETA 16h17m
  213. Wed May 3 14:16:59 2023 checking every 10000 dimensions, checkpointing every 380000 dimensions
  214. Thu May 4 05:43:19 2023 lanczos halted after 23975 iterations (dim = 6118720)
  215. Thu May 4 05:43:52 2023 recovered 32 nontrivial dependencies
  216. Thu May 4 05:43:52 2023 BLanczosTime: 57480
  217. Thu May 4 05:43:52 2023
  218. Thu May 4 05:43:52 2023 commencing square root phase
  219. Thu May 4 05:43:52 2023 reading relations for dependency 1
  220. Thu May 4 05:43:54 2023 read 3062551 cycles
  221. Thu May 4 05:44:04 2023 cycles contain 9779912 unique relations
  222. Thu May 4 05:47:08 2023 read 9779912 relations
  223. Thu May 4 05:48:13 2023 multiplying 9779912 relations
  224. Thu May 4 05:58:18 2023 multiply complete, coefficients have about 544.20 million bits
  225. Thu May 4 05:58:21 2023 initial square root is modulo 76259
  226. Thu May 4 06:06:18 2023 GCD is N, no factor found
  227. Thu May 4 06:06:18 2023 reading relations for dependency 2
  228. Thu May 4 06:06:20 2023 read 3060905 cycles
  229. Thu May 4 06:06:29 2023 cycles contain 9781350 unique relations
  230. Thu May 4 06:09:39 2023 read 9781350 relations
  231. Thu May 4 06:10:45 2023 multiplying 9781350 relations
  232. Thu May 4 06:20:35 2023 multiply complete, coefficients have about 544.25 million bits
  233. Thu May 4 06:20:38 2023 initial square root is modulo 76463
  234. Thu May 4 06:28:39 2023 sqrtTime: 2687
  235. Thu May 4 06:28:39 2023 p62 factor: 14934958107464777647162185078880880263708144461974966265516479
  236. Thu May 4 06:28:39 2023 p101 factor: 11975733566279812949063132414287411156567079340186136354124633611261751915908456670516411799610573727
  237. Thu May 4 06:28:39 2023 elapsed time 16:42:49
  238.  
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