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Aug 16th, 2023
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  1. Wed Aug 16 12:02:10 2023 Msieve v. 1.54 (SVN Unversioned directory)
  2. Wed Aug 16 12:02:10 2023 random seeds: 91f93d7f 572d6802
  3. Wed Aug 16 12:02:10 2023 Using 8 OpenMP threads
  4. Wed Aug 16 12:02:10 2023 factoring 935349968051803165397337508506797400060919497589278205045362661246366064913420663125457986801713052443151933622600559206411572659898248698280586222891601869 (156 digits)
  5. Wed Aug 16 12:02:10 2023 searching for 15-digit factors
  6. Wed Aug 16 12:02:11 2023 commencing number field sieve (156-digit input)
  7. Wed Aug 16 12:02:11 2023 R0: -1521643039304022386902973787654
  8. Wed Aug 16 12:02:11 2023 R1: 620566979068157533
  9. Wed Aug 16 12:02:11 2023 A0: -1606973616893855588161920457179904375
  10. Wed Aug 16 12:02:11 2023 A1: 6236363331638021975888149972618
  11. Wed Aug 16 12:02:11 2023 A2: 6393609016754738303784099
  12. Wed Aug 16 12:02:11 2023 A3: -8191282836813191680
  13. Wed Aug 16 12:02:11 2023 A4: -1113532505882
  14. Wed Aug 16 12:02:11 2023 A5: 114660
  15. Wed Aug 16 12:02:11 2023 skew 2465213.87, size 3.812e-15, alpha -6.388, combined = 2.512e-12 rroots = 5
  16. Wed Aug 16 12:02:11 2023
  17. Wed Aug 16 12:02:11 2023 commencing relation filtering
  18. Wed Aug 16 12:02:11 2023 setting target matrix density to 120.0
  19. Wed Aug 16 12:02:11 2023 estimated available RAM is 15708.9 MB
  20. Wed Aug 16 12:02:11 2023 commencing duplicate removal, pass 1
  21. Wed Aug 16 12:02:12 2023 error -1 reading relation 466863
  22. Wed Aug 16 12:02:12 2023 error -1 reading relation 615357
  23. Wed Aug 16 12:02:12 2023 error -1 reading relation 617688
  24. Wed Aug 16 12:03:16 2023 error -15 reading relation 25173583
  25. Wed Aug 16 12:03:16 2023 error -1 reading relation 25173584
  26. Wed Aug 16 12:03:43 2023 error -1 reading relation 30404439
  27. Wed Aug 16 12:04:43 2023 error -1 reading relation 41102535
  28. Wed Aug 16 12:04:51 2023 error -1 reading relation 42671042
  29. Wed Aug 16 12:04:54 2023 error -15 reading relation 43091127
  30. Wed Aug 16 12:04:54 2023 error -1 reading relation 43097466
  31. Wed Aug 16 12:05:23 2023 error -1 reading relation 48636413
  32. Wed Aug 16 12:05:53 2023 error -1 reading relation 54029666
  33. Wed Aug 16 12:05:54 2023 error -15 reading relation 54059110
  34. Wed Aug 16 12:06:00 2023 skipped 1 relations with composite factors
  35. Wed Aug 16 12:06:00 2023 skipped 51 malformed relations
  36. Wed Aug 16 12:06:00 2023 found 10116829 hash collisions in 55252071 relations
  37. Wed Aug 16 12:06:25 2023 commencing duplicate removal, pass 2
  38. Wed Aug 16 12:07:28 2023 found 9705461 duplicates and 45546610 unique relations
  39. Wed Aug 16 12:07:28 2023 memory use: 330.4 MB
  40. Wed Aug 16 12:07:28 2023 reading ideals above 720000
  41. Wed Aug 16 12:07:29 2023 commencing singleton removal, initial pass
  42. Wed Aug 16 12:12:26 2023 memory use: 1378.0 MB
  43. Wed Aug 16 12:12:26 2023 reading all ideals from disk
  44. Wed Aug 16 12:12:28 2023 memory use: 1986.8 MB
  45. Wed Aug 16 12:12:31 2023 keeping 45463552 ideals with weight <= 200, target excess is 245557
  46. Wed Aug 16 12:12:36 2023 commencing in-memory singleton removal
  47. Wed Aug 16 12:12:38 2023 begin with 45546610 relations and 45463552 unique ideals
  48. Wed Aug 16 12:12:51 2023 reduce to 25434527 relations and 22899844 ideals in 19 passes
  49. Wed Aug 16 12:12:51 2023 max relations containing the same ideal: 143
  50. Wed Aug 16 12:13:00 2023 removing 2745327 relations and 2345327 ideals in 400000 cliques
  51. Wed Aug 16 12:13:01 2023 commencing in-memory singleton removal
  52. Wed Aug 16 12:13:02 2023 begin with 22689200 relations and 22899844 unique ideals
  53. Wed Aug 16 12:13:05 2023 reduce to 22466601 relations and 20327381 ideals in 8 passes
  54. Wed Aug 16 12:13:05 2023 max relations containing the same ideal: 130
  55. Wed Aug 16 12:13:14 2023 removing 2071603 relations and 1671603 ideals in 400000 cliques
  56. Wed Aug 16 12:13:15 2023 commencing in-memory singleton removal
  57. Wed Aug 16 12:13:15 2023 begin with 20394998 relations and 20327381 unique ideals
  58. Wed Aug 16 12:13:18 2023 reduce to 20248655 relations and 18506773 ideals in 8 passes
  59. Wed Aug 16 12:13:18 2023 max relations containing the same ideal: 120
  60. Wed Aug 16 12:13:26 2023 removing 1866212 relations and 1466212 ideals in 400000 cliques
  61. Wed Aug 16 12:13:27 2023 commencing in-memory singleton removal
  62. Wed Aug 16 12:13:27 2023 begin with 18382443 relations and 18506773 unique ideals
  63. Wed Aug 16 12:13:29 2023 reduce to 18252875 relations and 16908547 ideals in 8 passes
  64. Wed Aug 16 12:13:29 2023 max relations containing the same ideal: 114
  65. Wed Aug 16 12:13:37 2023 removing 1761265 relations and 1361265 ideals in 400000 cliques
  66. Wed Aug 16 12:13:37 2023 commencing in-memory singleton removal
  67. Wed Aug 16 12:13:38 2023 begin with 16491610 relations and 16908547 unique ideals
  68. Wed Aug 16 12:13:40 2023 reduce to 16363690 relations and 15416844 ideals in 7 passes
  69. Wed Aug 16 12:13:40 2023 max relations containing the same ideal: 107
  70. Wed Aug 16 12:13:46 2023 removing 1697286 relations and 1297286 ideals in 400000 cliques
  71. Wed Aug 16 12:13:47 2023 commencing in-memory singleton removal
  72. Wed Aug 16 12:13:47 2023 begin with 14666404 relations and 15416844 unique ideals
  73. Wed Aug 16 12:13:49 2023 reduce to 14535614 relations and 13986026 ideals in 8 passes
  74. Wed Aug 16 12:13:49 2023 max relations containing the same ideal: 99
  75. Wed Aug 16 12:13:55 2023 removing 1190926 relations and 926185 ideals in 264741 cliques
  76. Wed Aug 16 12:13:55 2023 commencing in-memory singleton removal
  77. Wed Aug 16 12:13:56 2023 begin with 13344688 relations and 13986026 unique ideals
  78. Wed Aug 16 12:13:57 2023 reduce to 13276383 relations and 12990488 ideals in 7 passes
  79. Wed Aug 16 12:13:57 2023 max relations containing the same ideal: 91
  80. Wed Aug 16 12:14:04 2023 relations with 0 large ideals: 811
  81. Wed Aug 16 12:14:04 2023 relations with 1 large ideals: 2129
  82. Wed Aug 16 12:14:04 2023 relations with 2 large ideals: 32629
  83. Wed Aug 16 12:14:04 2023 relations with 3 large ideals: 248305
  84. Wed Aug 16 12:14:04 2023 relations with 4 large ideals: 1005870
  85. Wed Aug 16 12:14:04 2023 relations with 5 large ideals: 2412816
  86. Wed Aug 16 12:14:04 2023 relations with 6 large ideals: 3599206
  87. Wed Aug 16 12:14:04 2023 relations with 7+ large ideals: 5974617
  88. Wed Aug 16 12:14:04 2023 commencing 2-way merge
  89. Wed Aug 16 12:14:11 2023 reduce to 8488860 relation sets and 8202965 unique ideals
  90. Wed Aug 16 12:14:11 2023 commencing full merge
  91. Wed Aug 16 12:16:53 2023 memory use: 1065.5 MB
  92. Wed Aug 16 12:16:54 2023 found 3794199 cycles, need 3785165
  93. Wed Aug 16 12:16:55 2023 weight of 3785165 cycles is about 454365084 (120.04/cycle)
  94. Wed Aug 16 12:16:55 2023 distribution of cycle lengths:
  95. Wed Aug 16 12:16:55 2023 1 relations: 173542
  96. Wed Aug 16 12:16:55 2023 2 relations: 255909
  97. Wed Aug 16 12:16:55 2023 3 relations: 290728
  98. Wed Aug 16 12:16:55 2023 4 relations: 289653
  99. Wed Aug 16 12:16:55 2023 5 relations: 286982
  100. Wed Aug 16 12:16:55 2023 6 relations: 273904
  101. Wed Aug 16 12:16:55 2023 7 relations: 262700
  102. Wed Aug 16 12:16:55 2023 8 relations: 244829
  103. Wed Aug 16 12:16:55 2023 9 relations: 230038
  104. Wed Aug 16 12:16:55 2023 10+ relations: 1476880
  105. Wed Aug 16 12:16:55 2023 heaviest cycle: 28 relations
  106. Wed Aug 16 12:16:56 2023 commencing cycle optimization
  107. Wed Aug 16 12:17:02 2023 start with 33225977 relations
  108. Wed Aug 16 12:18:08 2023 pruned 1463559 relations
  109. Wed Aug 16 12:18:08 2023 memory use: 890.3 MB
  110. Wed Aug 16 12:18:08 2023 distribution of cycle lengths:
  111. Wed Aug 16 12:18:08 2023 1 relations: 173542
  112. Wed Aug 16 12:18:08 2023 2 relations: 262952
  113. Wed Aug 16 12:18:08 2023 3 relations: 304134
  114. Wed Aug 16 12:18:08 2023 4 relations: 301922
  115. Wed Aug 16 12:18:08 2023 5 relations: 300626
  116. Wed Aug 16 12:18:08 2023 6 relations: 285856
  117. Wed Aug 16 12:18:08 2023 7 relations: 274371
  118. Wed Aug 16 12:18:08 2023 8 relations: 254497
  119. Wed Aug 16 12:18:08 2023 9 relations: 237994
  120. Wed Aug 16 12:18:08 2023 10+ relations: 1389271
  121. Wed Aug 16 12:18:08 2023 heaviest cycle: 28 relations
  122. Wed Aug 16 12:18:12 2023 RelProcTime: 961
  123. Wed Aug 16 12:18:12 2023 elapsed time 00:16:02
  124. Wed Aug 16 12:21:11 2023
  125. Wed Aug 16 12:21:11 2023
  126. Wed Aug 16 12:21:11 2023 Msieve v. 1.54 (SVN Unversioned directory)
  127. Wed Aug 16 12:21:11 2023 random seeds: a3729907 82326d2d
  128. Wed Aug 16 12:21:11 2023 Using 8 OpenMP threads
  129. Wed Aug 16 12:21:11 2023 factoring 935349968051803165397337508506797400060919497589278205045362661246366064913420663125457986801713052443151933622600559206411572659898248698280586222891601869 (156 digits)
  130. Wed Aug 16 12:21:12 2023 searching for 15-digit factors
  131. Wed Aug 16 12:21:12 2023 commencing number field sieve (156-digit input)
  132. Wed Aug 16 12:21:12 2023 R0: -1521643039304022386902973787654
  133. Wed Aug 16 12:21:12 2023 R1: 620566979068157533
  134. Wed Aug 16 12:21:12 2023 A0: -1606973616893855588161920457179904375
  135. Wed Aug 16 12:21:12 2023 A1: 6236363331638021975888149972618
  136. Wed Aug 16 12:21:12 2023 A2: 6393609016754738303784099
  137. Wed Aug 16 12:21:12 2023 A3: -8191282836813191680
  138. Wed Aug 16 12:21:12 2023 A4: -1113532505882
  139. Wed Aug 16 12:21:12 2023 A5: 114660
  140. Wed Aug 16 12:21:12 2023 skew 2465213.87, size 3.812e-15, alpha -6.388, combined = 2.512e-12 rroots = 5
  141. Wed Aug 16 12:21:12 2023
  142. Wed Aug 16 12:21:12 2023 commencing linear algebra
  143. Wed Aug 16 12:21:12 2023 using VBITS=256
  144. Wed Aug 16 12:21:12 2023 read 3785165 cycles
  145. Wed Aug 16 12:21:17 2023 cycles contain 13090312 unique relations
  146. Wed Aug 16 12:22:10 2023 read 13090312 relations
  147. Wed Aug 16 12:22:14 2023 using 20 quadratic characters above 4294917295
  148. Wed Aug 16 12:22:22 2023 building initial matrix
  149. Wed Aug 16 12:24:57 2023 memory use: 1772.2 MB
  150. Wed Aug 16 12:25:00 2023 read 3785165 cycles
  151. Wed Aug 16 12:25:01 2023 matrix is 3784988 x 3785165 (1768.6 MB) with weight 535784173 (141.55/col)
  152. Wed Aug 16 12:25:01 2023 sparse part has weight 422003377 (111.49/col)
  153. Wed Aug 16 12:25:37 2023 filtering completed in 2 passes
  154. Wed Aug 16 12:25:38 2023 matrix is 3784917 x 3785093 (1768.6 MB) with weight 535781109 (141.55/col)
  155. Wed Aug 16 12:25:38 2023 sparse part has weight 422002649 (111.49/col)
  156. Wed Aug 16 12:25:47 2023 matrix starts at (0, 0)
  157. Wed Aug 16 12:25:47 2023 matrix is 3784917 x 3785093 (1768.6 MB) with weight 535781109 (141.55/col)
  158. Wed Aug 16 12:25:47 2023 sparse part has weight 422002649 (111.49/col)
  159. Wed Aug 16 12:25:47 2023 saving the first 240 matrix rows for later
  160. Wed Aug 16 12:25:48 2023 matrix includes 256 packed rows
  161. Wed Aug 16 12:25:49 2023 matrix is 3784677 x 3785093 (1584.8 MB) with weight 380580286 (100.55/col)
  162. Wed Aug 16 12:25:49 2023 sparse part has weight 354888345 (93.76/col)
  163. Wed Aug 16 12:25:49 2023 using block size 8192 and superblock size 294912 for processor cache size 12288 kB
  164. Wed Aug 16 12:26:00 2023 commencing Lanczos iteration (8 threads)
  165. Wed Aug 16 12:26:00 2023 memory use: 2171.9 MB
  166. Wed Aug 16 12:30:05 2023 lanczos halted after 69 iterations (dim = 17611)
  167. Wed Aug 16 12:30:05 2023 BLanczosTime: 533
  168. Wed Aug 16 12:30:05 2023 elapsed time 00:08:54
  169. Wed Aug 16 09:53:33 2023
  170. Wed Aug 16 09:53:33 2023
  171. Wed Aug 16 09:53:33 2023 Msieve v. 1.54 (SVN unknown)
  172. Wed Aug 16 09:53:33 2023 random seeds: 5de54a77 296a86a7
  173. Wed Aug 16 09:53:33 2023 factoring 935349968051803165397337508506797400060919497589278205045362661246366064913420663125457986801713052443151933622600559206411572659898248698280586222891601869 (156 digits)
  174. Wed Aug 16 09:53:34 2023 no P-1/P+1/ECM available, skipping
  175. Wed Aug 16 09:53:34 2023 commencing number field sieve (156-digit input)
  176. Wed Aug 16 09:53:34 2023 R0: -1521643039304022386902973787654
  177. Wed Aug 16 09:53:34 2023 R1: 620566979068157533
  178. Wed Aug 16 09:53:34 2023 A0: -1606973616893855588161920457179904375
  179. Wed Aug 16 09:53:34 2023 A1: 6236363331638021975888149972618
  180. Wed Aug 16 09:53:34 2023 A2: 6393609016754738303784099
  181. Wed Aug 16 09:53:34 2023 A3: -8191282836813191680
  182. Wed Aug 16 09:53:34 2023 A4: -1113532505882
  183. Wed Aug 16 09:53:34 2023 A5: 114660
  184. Wed Aug 16 09:53:34 2023 skew 2465213.87, size 3.812e-15, alpha -6.388, combined = 2.512e-12 rroots = 5
  185. Wed Aug 16 09:53:34 2023
  186. Wed Aug 16 09:53:34 2023 commencing linear algebra
  187. Wed Aug 16 09:53:34 2023 using VBITS=128
  188. Wed Aug 16 09:53:34 2023 skipping matrix build
  189. Wed Aug 16 09:53:43 2023 matrix starts at (0, 0)
  190. Wed Aug 16 09:53:43 2023 matrix is 3784917 x 3785093 (1768.6 MB) with weight 535781109 (141.55/col)
  191. Wed Aug 16 09:53:43 2023 sparse part has weight 422002649 (111.49/col)
  192. Wed Aug 16 09:53:43 2023 saving the first 112 matrix rows for later
  193. Wed Aug 16 09:53:44 2023 matrix includes 128 packed rows
  194. Wed Aug 16 09:53:45 2023 matrix is 3784805 x 3785093 (1625.1 MB) with weight 411504819 (108.72/col)
  195. Wed Aug 16 09:53:45 2023 sparse part has weight 380580286 (100.55/col)
  196. Wed Aug 16 09:53:46 2023 using GPU 0 (Tesla P100-PCIE-16GB)
  197. Wed Aug 16 09:53:46 2023 selected card has CUDA arch 6.0
  198. Wed Aug 16 09:54:28 2023 commencing Lanczos iteration
  199. Wed Aug 16 09:54:28 2023 memory use: 3394.5 MB
  200. Wed Aug 16 09:54:31 2023 linear algebra at 0.0%, ETA 1h22m
  201. Wed Aug 16 09:54:31 2023 checkpointing every 3670000 dimensions
  202. Wed Aug 16 11:05:39 2023 lanczos halted after 29748 iterations (dim = 3784804)
  203. Wed Aug 16 11:05:48 2023 recovered 29 nontrivial dependencies
  204. Wed Aug 16 11:05:48 2023 BLanczosTime: 4334
  205. Wed Aug 16 11:05:48 2023 elapsed time 01:12:15
  206. Wed Aug 16 14:07:11 2023
  207. Wed Aug 16 14:07:11 2023
  208. Wed Aug 16 14:07:11 2023 Msieve v. 1.54 (SVN Unversioned directory)
  209. Wed Aug 16 14:07:11 2023 random seeds: 7d650341 0b6a3c7b
  210. Wed Aug 16 14:07:11 2023 Using 8 OpenMP threads
  211. Wed Aug 16 14:07:11 2023 factoring 935349968051803165397337508506797400060919497589278205045362661246366064913420663125457986801713052443151933622600559206411572659898248698280586222891601869 (156 digits)
  212. Wed Aug 16 14:07:12 2023 searching for 15-digit factors
  213. Wed Aug 16 14:07:13 2023 commencing number field sieve (156-digit input)
  214. Wed Aug 16 14:07:14 2023 R0: -1521643039304022386902973787654
  215. Wed Aug 16 14:07:14 2023 R1: 620566979068157533
  216. Wed Aug 16 14:07:14 2023 A0: -1606973616893855588161920457179904375
  217. Wed Aug 16 14:07:14 2023 A1: 6236363331638021975888149972618
  218. Wed Aug 16 14:07:14 2023 A2: 6393609016754738303784099
  219. Wed Aug 16 14:07:14 2023 A3: -8191282836813191680
  220. Wed Aug 16 14:07:14 2023 A4: -1113532505882
  221. Wed Aug 16 14:07:14 2023 A5: 114660
  222. Wed Aug 16 14:07:14 2023 skew 2465213.87, size 3.812e-15, alpha -6.388, combined = 2.512e-12 rroots = 5
  223. Wed Aug 16 14:07:14 2023
  224. Wed Aug 16 14:07:14 2023 commencing square root phase
  225. Wed Aug 16 14:07:14 2023 reading relations for dependency 1
  226. Wed Aug 16 14:07:15 2023 read 1892328 cycles
  227. Wed Aug 16 14:07:23 2023 cycles contain 6542942 unique relations
  228. Wed Aug 16 14:09:11 2023 read 6542942 relations
  229. Wed Aug 16 14:09:50 2023 multiplying 6542942 relations
  230. Wed Aug 16 14:13:57 2023 multiply complete, coefficients have about 347.76 million bits
  231. Wed Aug 16 14:13:59 2023 initial square root is modulo 1737613
  232. Wed Aug 16 14:19:07 2023 GCD is N, no factor found
  233. Wed Aug 16 14:19:07 2023 reading relations for dependency 2
  234. Wed Aug 16 14:19:08 2023 read 1892309 cycles
  235. Wed Aug 16 14:19:12 2023 cycles contain 6545570 unique relations
  236. Wed Aug 16 14:20:58 2023 read 6545570 relations
  237. Wed Aug 16 14:21:33 2023 multiplying 6545570 relations
  238. Wed Aug 16 14:25:36 2023 multiply complete, coefficients have about 347.90 million bits
  239. Wed Aug 16 14:25:38 2023 initial square root is modulo 1747939
  240. Wed Aug 16 14:31:02 2023 sqrtTime: 1428
  241. Wed Aug 16 14:31:02 2023 p57 factor: 151921054435051737797413200794835475007117982601727457157
  242. Wed Aug 16 14:31:02 2023 p100 factor: 6156815930024219656490166250531427074561562984558583813401066104632233415754597490795702061351048617
  243. Wed Aug 16 14:31:02 2023 elapsed time 00:23:51
  244.  
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