gchilders

3p2_1890L

Jan 7th, 2022
82
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  1. Thu Jan 6 00:16:07 2022
  2. Thu Jan 6 00:16:07 2022
  3. Thu Jan 6 00:16:07 2022 Msieve v. 1.54 (SVN unknown)
  4. Thu Jan 6 00:16:07 2022 random seeds: 937ae57e 5dbc7f3c
  5. Thu Jan 6 00:16:07 2022 factoring 12734530900787107377713574161011868289324430536561585108001584634844458530077827798443825688784448329151924256365768391241981555179087907348803260669361241812142769026337465374565031975093261 (191 digits)
  6. Thu Jan 6 00:16:07 2022 no P-1/P+1/ECM available, skipping
  7. Thu Jan 6 00:16:07 2022 commencing number field sieve (191-digit input)
  8. Thu Jan 6 00:16:07 2022 R0: -4381990159763602434411484418467631498
  9. Thu Jan 6 00:16:07 2022 R1: 1351413343517779682402767
  10. Thu Jan 6 00:16:07 2022 A0: 82995649502610121695803377054054562879174460
  11. Thu Jan 6 00:16:07 2022 A1: -68939390311785240168852442729643236969
  12. Thu Jan 6 00:16:07 2022 A2: -1159047757477660892006812203906
  13. Thu Jan 6 00:16:07 2022 A3: 166840082438286438551781
  14. Thu Jan 6 00:16:07 2022 A4: 583630704694594
  15. Thu Jan 6 00:16:07 2022 A5: 15763440
  16. Thu Jan 6 00:16:07 2022 skew 26407748.92, size 1.142e-18, alpha -7.547, combined = 1.887e-14 rroots = 3
  17. Thu Jan 6 00:16:07 2022
  18. Thu Jan 6 00:16:07 2022 commencing relation filtering
  19. Thu Jan 6 00:16:07 2022 setting target matrix density to 110.0
  20. Thu Jan 6 00:16:07 2022 estimated available RAM is 515600.8 MB
  21. Thu Jan 6 00:16:07 2022 commencing duplicate removal, pass 1
  22. Thu Jan 6 00:41:15 2022 skipped 161 relations with composite factors
  23. Thu Jan 6 00:41:15 2022 found 16834022 hash collisions in 280653427 relations
  24. Thu Jan 6 00:41:33 2022 added 122459 free relations
  25. Thu Jan 6 00:41:33 2022 commencing duplicate removal, pass 2
  26. Thu Jan 6 00:42:29 2022 found 13 duplicates and 280775873 unique relations
  27. Thu Jan 6 00:42:29 2022 memory use: 788.8 MB
  28. Thu Jan 6 00:42:29 2022 reading ideals above 720000
  29. Thu Jan 6 00:42:29 2022 commencing singleton removal, initial pass
  30. Thu Jan 6 01:08:15 2022 memory use: 6024.0 MB
  31. Thu Jan 6 01:08:15 2022 reading all ideals from disk
  32. Thu Jan 6 01:08:17 2022 memory use: 12095.8 MB
  33. Thu Jan 6 01:08:27 2022 keeping 261583048 ideals with weight <= 200, target excess is 1526131
  34. Thu Jan 6 01:08:45 2022 commencing in-memory singleton removal
  35. Thu Jan 6 01:08:53 2022 begin with 280775873 relations and 261583048 unique ideals
  36. Thu Jan 6 01:10:50 2022 reduce to 188880778 relations and 161266294 ideals in 17 passes
  37. Thu Jan 6 01:10:50 2022 max relations containing the same ideal: 162
  38. Thu Jan 6 01:11:33 2022 removing 12292455 relations and 10292455 ideals in 2000000 cliques
  39. Thu Jan 6 01:11:38 2022 commencing in-memory singleton removal
  40. Thu Jan 6 01:11:43 2022 begin with 176588323 relations and 161266294 unique ideals
  41. Thu Jan 6 01:12:32 2022 reduce to 175952693 relations and 150329329 ideals in 8 passes
  42. Thu Jan 6 01:12:32 2022 max relations containing the same ideal: 158
  43. Thu Jan 6 01:13:12 2022 removing 9405525 relations and 7405525 ideals in 2000000 cliques
  44. Thu Jan 6 01:13:16 2022 commencing in-memory singleton removal
  45. Thu Jan 6 01:13:21 2022 begin with 166547168 relations and 150329329 unique ideals
  46. Thu Jan 6 01:14:01 2022 reduce to 166130848 relations and 142502501 ideals in 7 passes
  47. Thu Jan 6 01:14:01 2022 max relations containing the same ideal: 150
  48. Thu Jan 6 01:14:40 2022 removing 8522558 relations and 6522558 ideals in 2000000 cliques
  49. Thu Jan 6 01:14:43 2022 commencing in-memory singleton removal
  50. Thu Jan 6 01:14:48 2022 begin with 157608290 relations and 142502501 unique ideals
  51. Thu Jan 6 01:15:26 2022 reduce to 157242573 relations and 135609934 ideals in 7 passes
  52. Thu Jan 6 01:15:26 2022 max relations containing the same ideal: 145
  53. Thu Jan 6 01:16:03 2022 removing 8063946 relations and 6063946 ideals in 2000000 cliques
  54. Thu Jan 6 01:16:06 2022 commencing in-memory singleton removal
  55. Thu Jan 6 01:16:10 2022 begin with 149178627 relations and 135609934 unique ideals
  56. Thu Jan 6 01:16:51 2022 reduce to 148830392 relations and 129193596 ideals in 8 passes
  57. Thu Jan 6 01:16:51 2022 max relations containing the same ideal: 143
  58. Thu Jan 6 01:17:26 2022 removing 7793212 relations and 5793212 ideals in 2000000 cliques
  59. Thu Jan 6 01:17:29 2022 commencing in-memory singleton removal
  60. Thu Jan 6 01:17:33 2022 begin with 141037180 relations and 129193596 unique ideals
  61. Thu Jan 6 01:18:12 2022 reduce to 140694296 relations and 123053301 ideals in 8 passes
  62. Thu Jan 6 01:18:12 2022 max relations containing the same ideal: 135
  63. Thu Jan 6 01:18:45 2022 removing 7622861 relations and 5622861 ideals in 2000000 cliques
  64. Thu Jan 6 01:18:48 2022 commencing in-memory singleton removal
  65. Thu Jan 6 01:18:52 2022 begin with 133071435 relations and 123053301 unique ideals
  66. Thu Jan 6 01:19:24 2022 reduce to 132725060 relations and 117079545 ideals in 7 passes
  67. Thu Jan 6 01:19:24 2022 max relations containing the same ideal: 132
  68. Thu Jan 6 01:19:55 2022 removing 7515427 relations and 5515427 ideals in 2000000 cliques
  69. Thu Jan 6 01:19:58 2022 commencing in-memory singleton removal
  70. Thu Jan 6 01:20:01 2022 begin with 125209633 relations and 117079545 unique ideals
  71. Thu Jan 6 01:20:31 2022 reduce to 124856031 relations and 111205812 ideals in 7 passes
  72. Thu Jan 6 01:20:31 2022 max relations containing the same ideal: 128
  73. Thu Jan 6 01:21:01 2022 removing 7459052 relations and 5459052 ideals in 2000000 cliques
  74. Thu Jan 6 01:21:04 2022 commencing in-memory singleton removal
  75. Thu Jan 6 01:21:07 2022 begin with 117396979 relations and 111205812 unique ideals
  76. Thu Jan 6 01:21:35 2022 reduce to 117024688 relations and 105369094 ideals in 7 passes
  77. Thu Jan 6 01:21:35 2022 max relations containing the same ideal: 124
  78. Thu Jan 6 01:22:03 2022 removing 7443242 relations and 5443242 ideals in 2000000 cliques
  79. Thu Jan 6 01:22:06 2022 commencing in-memory singleton removal
  80. Thu Jan 6 01:22:09 2022 begin with 109581446 relations and 105369094 unique ideals
  81. Thu Jan 6 01:22:39 2022 reduce to 109185336 relations and 99523902 ideals in 8 passes
  82. Thu Jan 6 01:22:39 2022 max relations containing the same ideal: 116
  83. Thu Jan 6 01:23:05 2022 removing 7463760 relations and 5463760 ideals in 2000000 cliques
  84. Thu Jan 6 01:23:08 2022 commencing in-memory singleton removal
  85. Thu Jan 6 01:23:10 2022 begin with 101721576 relations and 99523902 unique ideals
  86. Thu Jan 6 01:23:38 2022 reduce to 101293059 relations and 93624867 ideals in 8 passes
  87. Thu Jan 6 01:23:38 2022 max relations containing the same ideal: 110
  88. Thu Jan 6 01:24:03 2022 removing 7526656 relations and 5526656 ideals in 2000000 cliques
  89. Thu Jan 6 01:24:05 2022 commencing in-memory singleton removal
  90. Thu Jan 6 01:24:08 2022 begin with 93766403 relations and 93624867 unique ideals
  91. Thu Jan 6 01:24:36 2022 reduce to 93293620 relations and 87617615 ideals in 9 passes
  92. Thu Jan 6 01:24:36 2022 max relations containing the same ideal: 105
  93. Thu Jan 6 01:25:00 2022 removing 7623466 relations and 5623466 ideals in 2000000 cliques
  94. Thu Jan 6 01:25:02 2022 commencing in-memory singleton removal
  95. Thu Jan 6 01:25:04 2022 begin with 85670154 relations and 87617615 unique ideals
  96. Thu Jan 6 01:25:30 2022 reduce to 85138098 relations and 81452449 ideals in 9 passes
  97. Thu Jan 6 01:25:30 2022 max relations containing the same ideal: 97
  98. Thu Jan 6 01:25:52 2022 removing 7510430 relations and 5595093 ideals in 1915337 cliques
  99. Thu Jan 6 01:25:54 2022 commencing in-memory singleton removal
  100. Thu Jan 6 01:25:56 2022 begin with 77627668 relations and 81452449 unique ideals
  101. Thu Jan 6 01:26:17 2022 reduce to 77049061 relations and 75267463 ideals in 8 passes
  102. Thu Jan 6 01:26:17 2022 max relations containing the same ideal: 93
  103. Thu Jan 6 01:26:37 2022 removing 99485 relations and 88199 ideals in 11286 cliques
  104. Thu Jan 6 01:26:38 2022 commencing in-memory singleton removal
  105. Thu Jan 6 01:26:40 2022 begin with 76949576 relations and 75267463 unique ideals
  106. Thu Jan 6 01:26:51 2022 reduce to 76949509 relations and 75179197 ideals in 4 passes
  107. Thu Jan 6 01:26:51 2022 max relations containing the same ideal: 93
  108. Thu Jan 6 01:27:01 2022 relations with 0 large ideals: 5241
  109. Thu Jan 6 01:27:01 2022 relations with 1 large ideals: 17806
  110. Thu Jan 6 01:27:01 2022 relations with 2 large ideals: 262037
  111. Thu Jan 6 01:27:01 2022 relations with 3 large ideals: 1764083
  112. Thu Jan 6 01:27:01 2022 relations with 4 large ideals: 6515408
  113. Thu Jan 6 01:27:01 2022 relations with 5 large ideals: 14527242
  114. Thu Jan 6 01:27:01 2022 relations with 6 large ideals: 20505926
  115. Thu Jan 6 01:27:01 2022 relations with 7+ large ideals: 33351766
  116. Thu Jan 6 01:27:01 2022 commencing 2-way merge
  117. Thu Jan 6 01:27:29 2022 reduce to 49716397 relation sets and 47946085 unique ideals
  118. Thu Jan 6 01:27:29 2022 commencing full merge
  119. Thu Jan 6 01:37:09 2022 memory use: 5574.6 MB
  120. Thu Jan 6 01:37:13 2022 found 22768619 cycles, need 22566285
  121. Thu Jan 6 01:37:18 2022 weight of 22566285 cycles is about 2482576363 (110.01/cycle)
  122. Thu Jan 6 01:37:18 2022 distribution of cycle lengths:
  123. Thu Jan 6 01:37:18 2022 1 relations: 1855719
  124. Thu Jan 6 01:37:18 2022 2 relations: 1762624
  125. Thu Jan 6 01:37:18 2022 3 relations: 1898410
  126. Thu Jan 6 01:37:18 2022 4 relations: 1910076
  127. Thu Jan 6 01:37:18 2022 5 relations: 1921103
  128. Thu Jan 6 01:37:18 2022 6 relations: 1810561
  129. Thu Jan 6 01:37:18 2022 7 relations: 1739964
  130. Thu Jan 6 01:37:18 2022 8 relations: 1594993
  131. Thu Jan 6 01:37:18 2022 9 relations: 1437634
  132. Thu Jan 6 01:37:18 2022 10+ relations: 6635201
  133. Thu Jan 6 01:37:18 2022 heaviest cycle: 26 relations
  134. Thu Jan 6 01:37:21 2022 commencing cycle optimization
  135. Thu Jan 6 01:37:48 2022 start with 165517408 relations
  136. Thu Jan 6 01:40:55 2022 pruned 6339628 relations
  137. Thu Jan 6 01:40:56 2022 memory use: 4844.5 MB
  138. Thu Jan 6 01:40:56 2022 distribution of cycle lengths:
  139. Thu Jan 6 01:40:56 2022 1 relations: 1855719
  140. Thu Jan 6 01:40:56 2022 2 relations: 1814928
  141. Thu Jan 6 01:40:56 2022 3 relations: 1983400
  142. Thu Jan 6 01:40:56 2022 4 relations: 1986386
  143. Thu Jan 6 01:40:56 2022 5 relations: 2005169
  144. Thu Jan 6 01:40:56 2022 6 relations: 1883681
  145. Thu Jan 6 01:40:56 2022 7 relations: 1807147
  146. Thu Jan 6 01:40:56 2022 8 relations: 1643045
  147. Thu Jan 6 01:40:56 2022 9 relations: 1469391
  148. Thu Jan 6 01:40:56 2022 10+ relations: 6117419
  149. Thu Jan 6 01:40:56 2022 heaviest cycle: 26 relations
  150. Thu Jan 6 01:41:16 2022 RelProcTime: 5109
  151. Thu Jan 6 01:41:19 2022
  152. Thu Jan 6 01:41:19 2022 commencing linear algebra
  153. Thu Jan 6 01:41:19 2022 using VBITS=384
  154. Thu Jan 6 01:41:20 2022 read 22566285 cycles
  155. Thu Jan 6 01:41:48 2022 cycles contain 75848002 unique relations
  156. Thu Jan 6 01:46:30 2022 read 75848002 relations
  157. Thu Jan 6 01:48:05 2022 using 20 quadratic characters above 4294917295
  158. Thu Jan 6 01:51:36 2022 building initial matrix
  159. Thu Jan 6 02:02:16 2022 memory use: 10959.2 MB
  160. Thu Jan 6 02:02:22 2022 read 22566285 cycles
  161. Thu Jan 6 02:02:26 2022 matrix is 22566106 x 22566285 (9935.3 MB) with weight 3039639752 (134.70/col)
  162. Thu Jan 6 02:02:26 2022 sparse part has weight 2333690048 (103.41/col)
  163. Thu Jan 6 02:04:46 2022 filtering completed in 2 passes
  164. Thu Jan 6 02:04:50 2022 matrix is 22562684 x 22562862 (9935.0 MB) with weight 3039488315 (134.71/col)
  165. Thu Jan 6 02:04:50 2022 sparse part has weight 2333648194 (103.43/col)
  166. Thu Jan 6 02:05:23 2022 matrix starts at (0, 0)
  167. Thu Jan 6 02:05:26 2022 matrix is 22562684 x 22562862 (9935.0 MB) with weight 3039488315 (134.71/col)
  168. Thu Jan 6 02:05:26 2022 sparse part has weight 2333648194 (103.43/col)
  169. Thu Jan 6 02:05:26 2022 saving the first 368 matrix rows for later
  170. Thu Jan 6 02:05:29 2022 matrix includes 384 packed rows
  171. Thu Jan 6 02:05:38 2022 matrix is 22562316 x 22562862 (9212.3 MB) with weight 2080125578 (92.19/col)
  172. Thu Jan 6 02:05:38 2022 sparse part has weight 1963701806 (87.03/col)
  173. Thu Jan 6 02:05:38 2022 using GPU 1 (Tesla V100-PCIE-32GB)
  174. Thu Jan 6 02:05:38 2022 selected card has CUDA arch 7.0
  175. Thu Jan 6 02:07:03 2022 commencing Lanczos iteration
  176. Thu Jan 6 02:07:04 2022 memory use: 23588.9 MB
  177. Thu Jan 6 02:07:13 2022 linear algebra at 0.0%, ETA 21h46m
  178. Thu Jan 6 02:07:19 2022 checkpointing every 1090000 dimensions
  179. Thu Jan 6 21:14:19 2022 lanczos halted after 58875 iterations (dim = 22562312)
  180. Thu Jan 6 21:17:21 2022 recovered 27 nontrivial dependencies
  181. Thu Jan 6 21:17:21 2022 BLanczosTime: 70562
  182. Thu Jan 6 21:17:21 2022
  183. Thu Jan 6 21:17:21 2022 commencing square root phase
  184. Thu Jan 6 21:17:21 2022 handling dependencies 1 to 64
  185. Thu Jan 6 21:17:21 2022 reading relations for dependency 1
  186. Thu Jan 6 21:17:24 2022 read 11282326 cycles
  187. Thu Jan 6 21:17:38 2022 cycles contain 37928722 unique relations
  188. Thu Jan 6 21:20:10 2022 read 37928722 relations
  189. Thu Jan 6 21:22:11 2022 multiplying 37928722 relations
  190. Thu Jan 6 22:02:51 2022 multiply complete, coefficients have about 2450.52 million bits
  191. Thu Jan 6 22:03:00 2022 initial square root is modulo 313507
  192. Thu Jan 6 22:47:21 2022 GCD is 1, no factor found
  193. Fri Jan 7 01:31:52 2022
  194. Fri Jan 7 01:31:52 2022
  195. Fri Jan 7 01:31:52 2022 Msieve v. 1.54 (SVN unknown)
  196. Fri Jan 7 01:31:52 2022 random seeds: 61a3389f b201a122
  197. Fri Jan 7 01:31:52 2022 factoring 12734530900787107377713574161011868289324430536561585108001584634844458530077827798443825688784448329151924256365768391241981555179087907348803260669361241812142769026337465374565031975093261 (191 digits)
  198. Fri Jan 7 01:31:53 2022 no P-1/P+1/ECM available, skipping
  199. Fri Jan 7 01:31:53 2022 commencing number field sieve (191-digit input)
  200. Fri Jan 7 01:31:53 2022 R0: -4381990159763602434411484418467631498
  201. Fri Jan 7 01:31:53 2022 R1: 1351413343517779682402767
  202. Fri Jan 7 01:31:53 2022 A0: 82995649502610121695803377054054562879174460
  203. Fri Jan 7 01:31:53 2022 A1: -68939390311785240168852442729643236969
  204. Fri Jan 7 01:31:53 2022 A2: -1159047757477660892006812203906
  205. Fri Jan 7 01:31:53 2022 A3: 166840082438286438551781
  206. Fri Jan 7 01:31:53 2022 A4: 583630704694594
  207. Fri Jan 7 01:31:53 2022 A5: 15763440
  208. Fri Jan 7 01:31:53 2022 skew 26407748.92, size 1.142e-18, alpha -7.547, combined = 1.887e-14 rroots = 3
  209. Fri Jan 7 01:31:53 2022
  210. Fri Jan 7 01:31:53 2022 commencing square root phase
  211. Fri Jan 7 01:31:53 2022 handling dependencies 2 to 10
  212. Fri Jan 7 01:31:53 2022 reading relations for dependency 2
  213. Fri Jan 7 01:31:54 2022 read 11277802 cycles
  214. Fri Jan 7 01:32:09 2022 cycles contain 37916948 unique relations
  215. Fri Jan 7 01:34:41 2022 read 37916948 relations
  216. Fri Jan 7 01:36:39 2022 multiplying 37916948 relations
  217. Fri Jan 7 02:16:52 2022 multiply complete, coefficients have about 2449.76 million bits
  218. Fri Jan 7 02:17:01 2022 initial square root is modulo 312241
  219. Fri Jan 7 03:01:59 2022 sqrtTime: 5406
  220. Fri Jan 7 03:01:59 2022 p62 factor: 15865605444487510531731227246783412616457002809098020468761661
  221. Fri Jan 7 03:01:59 2022 p129 factor: 802650169597637888084800275473231967732140564647060055991819024235002749663776896655562438608788050509383947719743054717719235601
  222. Fri Jan 7 03:01:59 2022 elapsed time 01:30:07
  223.  
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