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157_113m1

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May 5th, 2019
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  1. Tue Apr 30 21:49:46 2019
  2. Tue Apr 30 21:49:46 2019
  3. Tue Apr 30 21:49:46 2019 Msieve v. 1.54 (SVN 1025)
  4. Tue Apr 30 21:49:46 2019 random seeds: 535c9902 1a1624cf
  5. Tue Apr 30 21:49:46 2019 factoring 547714094625624457604172633378204678006581177147863302698792145703500351002836955888445324462086887629807431024677283022665270917384179898769536131770941087168305853087894949499368504209440565179243613320632714252809 (216 digits)
  6. Tue Apr 30 21:49:47 2019 searching for 15-digit factors
  7. Tue Apr 30 21:49:48 2019 commencing number field sieve (216-digit input)
  8. Tue Apr 30 21:49:48 2019 R0: 527343255303841790870720812082050804460293
  9. Tue Apr 30 21:49:48 2019 R1: -1
  10. Tue Apr 30 21:49:48 2019 A0: -157
  11. Tue Apr 30 21:49:48 2019 A1: 0
  12. Tue Apr 30 21:49:48 2019 A2: 0
  13. Tue Apr 30 21:49:48 2019 A3: 0
  14. Tue Apr 30 21:49:48 2019 A4: 0
  15. Tue Apr 30 21:49:48 2019 A5: 0
  16. Tue Apr 30 21:49:48 2019 A6: 1
  17. Tue Apr 30 21:49:48 2019 skew 2.32, size 2.707e-12, alpha 0.228, combined = 2.419e-13 rroots = 2
  18. Tue Apr 30 21:49:48 2019
  19. Tue Apr 30 21:49:48 2019 commencing relation filtering
  20. Tue Apr 30 21:49:48 2019 setting target matrix density to 124.0
  21. Tue Apr 30 21:49:48 2019 estimated available RAM is 15988.9 MB
  22. Tue Apr 30 21:49:48 2019 commencing duplicate removal, pass 1
  23. Tue Apr 30 21:56:24 2019 error -1 reading relation 62576201
  24. Tue Apr 30 21:56:24 2019 error -1 reading relation 62576202
  25. Tue Apr 30 21:56:24 2019 error -1 reading relation 62576203
  26. Tue Apr 30 21:56:24 2019 error -11 reading relation 62576205
  27. [ . . . deleted 30000 lines - mostly -1 & -11 errors . . . ]
  28. Tue Apr 30 22:03:26 2019 error -5 reading relation 128842213
  29. Tue Apr 30 22:06:16 2019 error -15 reading relation 155687808
  30. Tue Apr 30 22:10:39 2019 error -15 reading relation 195987920
  31. Tue Apr 30 22:11:54 2019 skipped 210 relations with b > 2^32
  32. Tue Apr 30 22:11:54 2019 skipped 14370 relations with composite factors
  33. Tue Apr 30 22:11:54 2019 found 9329381 hash collisions in 206603639 relations
  34. Tue Apr 30 22:12:04 2019 commencing duplicate removal, pass 2
  35. Tue Apr 30 22:12:46 2019 found 0 duplicates and 206603639 unique relations
  36. Tue Apr 30 22:12:46 2019 memory use: 522.4 MB
  37. Tue Apr 30 22:12:46 2019 reading ideals above 159973376
  38. Tue Apr 30 22:12:46 2019 commencing singleton removal, initial pass
  39. Tue Apr 30 22:28:50 2019 memory use: 5512.0 MB
  40. Tue Apr 30 22:28:50 2019 reading all ideals from disk
  41. Tue Apr 30 22:28:56 2019 memory use: 3764.5 MB
  42. Tue Apr 30 22:29:04 2019 commencing in-memory singleton removal
  43. Tue Apr 30 22:29:11 2019 begin with 206603639 relations and 164656723 unique ideals
  44. Tue Apr 30 22:30:47 2019 reduce to 146553723 relations and 99427167 ideals in 14 passes
  45. Tue Apr 30 22:30:47 2019 max relations containing the same ideal: 44
  46. Tue Apr 30 22:30:54 2019 reading ideals above 720000
  47. Tue Apr 30 22:30:54 2019 commencing singleton removal, initial pass
  48. Tue Apr 30 22:45:32 2019 memory use: 3012.0 MB
  49. Tue Apr 30 22:45:32 2019 reading all ideals from disk
  50. Tue Apr 30 22:45:43 2019 memory use: 5808.5 MB
  51. Tue Apr 30 22:45:59 2019 keeping 116636229 ideals with weight <= 200, target excess is 738831
  52. Tue Apr 30 22:46:15 2019 commencing in-memory singleton removal
  53. Tue Apr 30 22:46:27 2019 begin with 146553723 relations and 116636229 unique ideals
  54. Tue Apr 30 22:47:26 2019 reduce to 146553014 relations and 116635520 ideals in 5 passes
  55. Tue Apr 30 22:47:26 2019 max relations containing the same ideal: 200
  56. Tue Apr 30 22:48:22 2019 removing 10464631 relations and 8464631 ideals in 2000000 cliques
  57. Tue Apr 30 22:48:24 2019 commencing in-memory singleton removal
  58. Tue Apr 30 22:48:36 2019 begin with 136088383 relations and 116635520 unique ideals
  59. Tue Apr 30 22:50:05 2019 reduce to 135472769 relations and 107544130 ideals in 8 passes
  60. Tue Apr 30 22:50:05 2019 max relations containing the same ideal: 197
  61. Tue Apr 30 22:50:57 2019 removing 8053940 relations and 6053940 ideals in 2000000 cliques
  62. Tue Apr 30 22:51:00 2019 commencing in-memory singleton removal
  63. Tue Apr 30 22:51:11 2019 begin with 127418829 relations and 107544130 unique ideals
  64. Tue Apr 30 22:52:23 2019 reduce to 127009738 relations and 101074642 ideals in 7 passes
  65. Tue Apr 30 22:52:23 2019 max relations containing the same ideal: 192
  66. Tue Apr 30 22:53:11 2019 removing 7337843 relations and 5337843 ideals in 2000000 cliques
  67. Tue Apr 30 22:53:14 2019 commencing in-memory singleton removal
  68. Tue Apr 30 22:53:24 2019 begin with 119671895 relations and 101074642 unique ideals
  69. Tue Apr 30 22:54:31 2019 reduce to 119316632 relations and 95376117 ideals in 7 passes
  70. Tue Apr 30 22:54:31 2019 max relations containing the same ideal: 185
  71. Tue Apr 30 22:55:16 2019 removing 6967964 relations and 4967964 ideals in 2000000 cliques
  72. Tue Apr 30 22:55:18 2019 commencing in-memory singleton removal
  73. Tue Apr 30 22:55:27 2019 begin with 112348668 relations and 95376117 unique ideals
  74. Tue Apr 30 22:56:29 2019 reduce to 112013631 relations and 90067743 ideals in 7 passes
  75. Tue Apr 30 22:56:29 2019 max relations containing the same ideal: 181
  76. Tue Apr 30 22:57:11 2019 removing 6743240 relations and 4743240 ideals in 2000000 cliques
  77. Tue Apr 30 22:57:13 2019 commencing in-memory singleton removal
  78. Tue Apr 30 22:57:21 2019 begin with 105270391 relations and 90067743 unique ideals
  79. Tue Apr 30 22:58:19 2019 reduce to 104944634 relations and 84993358 ideals in 7 passes
  80. Tue Apr 30 22:58:19 2019 max relations containing the same ideal: 173
  81. Tue Apr 30 22:58:58 2019 removing 6589835 relations and 4589835 ideals in 2000000 cliques
  82. Tue Apr 30 22:59:00 2019 commencing in-memory singleton removal
  83. Tue Apr 30 22:59:07 2019 begin with 98354799 relations and 84993358 unique ideals
  84. Tue Apr 30 22:59:53 2019 reduce to 98031547 relations and 80074617 ideals in 6 passes
  85. Tue Apr 30 22:59:53 2019 max relations containing the same ideal: 164
  86. Tue Apr 30 23:00:29 2019 removing 6482098 relations and 4482098 ideals in 2000000 cliques
  87. Tue Apr 30 23:00:31 2019 commencing in-memory singleton removal
  88. Tue Apr 30 23:00:39 2019 begin with 91549449 relations and 80074617 unique ideals
  89. Tue Apr 30 23:01:28 2019 reduce to 91223591 relations and 75260623 ideals in 7 passes
  90. Tue Apr 30 23:01:28 2019 max relations containing the same ideal: 156
  91. Tue Apr 30 23:02:01 2019 removing 6405788 relations and 4405788 ideals in 2000000 cliques
  92. Tue Apr 30 23:02:03 2019 commencing in-memory singleton removal
  93. Tue Apr 30 23:02:10 2019 begin with 84817803 relations and 75260623 unique ideals
  94. Tue Apr 30 23:02:53 2019 reduce to 84484602 relations and 70515068 ideals in 7 passes
  95. Tue Apr 30 23:02:53 2019 max relations containing the same ideal: 148
  96. Tue Apr 30 23:03:21 2019 removing 6351546 relations and 4351546 ideals in 2000000 cliques
  97. Tue Apr 30 23:03:23 2019 commencing in-memory singleton removal
  98. Tue Apr 30 23:03:28 2019 begin with 78133056 relations and 70515068 unique ideals
  99. Tue Apr 30 23:04:04 2019 reduce to 77785853 relations and 65809061 ideals in 7 passes
  100. Tue Apr 30 23:04:04 2019 max relations containing the same ideal: 142
  101. Tue Apr 30 23:04:29 2019 removing 6317285 relations and 4317285 ideals in 2000000 cliques
  102. Tue Apr 30 23:04:31 2019 commencing in-memory singleton removal
  103. Tue Apr 30 23:04:35 2019 begin with 71468568 relations and 65809061 unique ideals
  104. Tue Apr 30 23:05:07 2019 reduce to 71102148 relations and 61117161 ideals in 7 passes
  105. Tue Apr 30 23:05:07 2019 max relations containing the same ideal: 139
  106. Tue Apr 30 23:05:30 2019 removing 6304325 relations and 4304325 ideals in 2000000 cliques
  107. Tue Apr 30 23:05:32 2019 commencing in-memory singleton removal
  108. Tue Apr 30 23:05:36 2019 begin with 64797823 relations and 61117161 unique ideals
  109. Tue Apr 30 23:06:01 2019 reduce to 64405855 relations and 56411263 ideals in 6 passes
  110. Tue Apr 30 23:06:01 2019 max relations containing the same ideal: 128
  111. Tue Apr 30 23:06:22 2019 removing 6302545 relations and 4302545 ideals in 2000000 cliques
  112. Tue Apr 30 23:06:23 2019 commencing in-memory singleton removal
  113. Tue Apr 30 23:06:27 2019 begin with 58103310 relations and 56411263 unique ideals
  114. Tue Apr 30 23:06:53 2019 reduce to 57672567 relations and 51666356 ideals in 7 passes
  115. Tue Apr 30 23:06:53 2019 max relations containing the same ideal: 116
  116. Tue Apr 30 23:07:12 2019 removing 6320078 relations and 4320078 ideals in 2000000 cliques
  117. Tue Apr 30 23:07:13 2019 commencing in-memory singleton removal
  118. Tue Apr 30 23:07:16 2019 begin with 51352489 relations and 51666356 unique ideals
  119. Tue Apr 30 23:07:39 2019 reduce to 50865885 relations and 46845154 ideals in 7 passes
  120. Tue Apr 30 23:07:39 2019 max relations containing the same ideal: 109
  121. Tue Apr 30 23:07:56 2019 removing 6364396 relations and 4364396 ideals in 2000000 cliques
  122. Tue Apr 30 23:07:58 2019 commencing in-memory singleton removal
  123. Tue Apr 30 23:08:00 2019 begin with 44501489 relations and 46845154 unique ideals
  124. Tue Apr 30 23:08:22 2019 reduce to 43929301 relations and 41889329 ideals in 8 passes
  125. Tue Apr 30 23:08:22 2019 max relations containing the same ideal: 98
  126. Tue Apr 30 23:08:37 2019 removing 4218345 relations and 3035417 ideals in 1182928 cliques
  127. Tue Apr 30 23:08:38 2019 commencing in-memory singleton removal
  128. Tue Apr 30 23:08:41 2019 begin with 39710956 relations and 41889329 unique ideals
  129. Tue Apr 30 23:08:58 2019 reduce to 39407326 relations and 38543124 ideals in 7 passes
  130. Tue Apr 30 23:08:58 2019 max relations containing the same ideal: 89
  131. Tue Apr 30 23:09:16 2019 relations with 0 large ideals: 27632
  132. Tue Apr 30 23:09:16 2019 relations with 1 large ideals: 10621
  133. Tue Apr 30 23:09:16 2019 relations with 2 large ideals: 154247
  134. Tue Apr 30 23:09:16 2019 relations with 3 large ideals: 1021973
  135. Tue Apr 30 23:09:16 2019 relations with 4 large ideals: 3664558
  136. Tue Apr 30 23:09:16 2019 relations with 5 large ideals: 7864604
  137. Tue Apr 30 23:09:16 2019 relations with 6 large ideals: 10531859
  138. Tue Apr 30 23:09:16 2019 relations with 7+ large ideals: 16131832
  139. Tue Apr 30 23:09:16 2019 commencing 2-way merge
  140. Tue Apr 30 23:09:34 2019 reduce to 26589025 relation sets and 25724823 unique ideals
  141. Tue Apr 30 23:09:34 2019 commencing full merge
  142. Tue Apr 30 23:17:46 2019 memory use: 3313.3 MB
  143. Tue Apr 30 23:17:48 2019 found 11672335 cycles, need 11661023
  144. Tue Apr 30 23:17:52 2019 weight of 11661023 cycles is about 1446648540 (124.06/cycle)
  145. Tue Apr 30 23:17:52 2019 distribution of cycle lengths:
  146. Tue Apr 30 23:17:52 2019 1 relations: 435457
  147. Tue Apr 30 23:17:52 2019 2 relations: 641671
  148. Tue Apr 30 23:17:52 2019 3 relations: 772804
  149. Tue Apr 30 23:17:52 2019 4 relations: 817187
  150. Tue Apr 30 23:17:52 2019 5 relations: 842236
  151. Tue Apr 30 23:17:52 2019 6 relations: 843076
  152. Tue Apr 30 23:17:52 2019 7 relations: 832425
  153. Tue Apr 30 23:17:52 2019 8 relations: 801652
  154. Tue Apr 30 23:17:52 2019 9 relations: 756736
  155. Tue Apr 30 23:17:52 2019 10+ relations: 4917779
  156. Tue Apr 30 23:17:52 2019 heaviest cycle: 28 relations
  157. Tue Apr 30 23:17:54 2019 commencing cycle optimization
  158. Tue Apr 30 23:18:15 2019 start with 107545315 relations
  159. Tue Apr 30 23:21:38 2019 pruned 5370171 relations
  160. Tue Apr 30 23:21:38 2019 memory use: 2742.4 MB
  161. Tue Apr 30 23:21:38 2019 distribution of cycle lengths:
  162. Tue Apr 30 23:21:38 2019 1 relations: 435457
  163. Tue Apr 30 23:21:38 2019 2 relations: 658899
  164. Tue Apr 30 23:21:38 2019 3 relations: 807416
  165. Tue Apr 30 23:21:38 2019 4 relations: 854457
  166. Tue Apr 30 23:21:38 2019 5 relations: 887721
  167. Tue Apr 30 23:21:38 2019 6 relations: 887633
  168. Tue Apr 30 23:21:38 2019 7 relations: 879785
  169. Tue Apr 30 23:21:38 2019 8 relations: 844025
  170. Tue Apr 30 23:21:38 2019 9 relations: 796854
  171. Tue Apr 30 23:21:38 2019 10+ relations: 4608776
  172. Tue Apr 30 23:21:38 2019 heaviest cycle: 28 relations
  173. Tue Apr 30 23:22:01 2019 RelProcTime: 5533
  174. Tue Apr 30 23:22:01 2019
  175. Tue Apr 30 23:22:01 2019 commencing linear algebra
  176. Tue Apr 30 23:22:02 2019 read 11661023 cycles
  177. Tue Apr 30 23:22:22 2019 cycles contain 38922592 unique relations
  178. Tue Apr 30 23:25:06 2019 read 38922592 relations
  179. Tue Apr 30 23:26:01 2019 using 20 quadratic characters above 4294917295
  180. Tue Apr 30 23:28:08 2019 building initial matrix
  181. Tue Apr 30 23:34:39 2019 memory use: 5062.2 MB
  182. Tue Apr 30 23:34:43 2019 read 11661023 cycles
  183. Tue Apr 30 23:34:44 2019 matrix is 11660846 x 11661023 (5602.0 MB) with weight 1622463862 (139.14/col)
  184. Tue Apr 30 23:34:44 2019 sparse part has weight 1340249805 (114.93/col)
  185. Tue Apr 30 23:36:56 2019 filtering completed in 2 passes
  186. Tue Apr 30 23:36:58 2019 matrix is 11660759 x 11660936 (5602.0 MB) with weight 1622460840 (139.14/col)
  187. Tue Apr 30 23:36:58 2019 sparse part has weight 1340248979 (114.93/col)
  188. Tue Apr 30 23:37:26 2019 matrix starts at (0, 0)
  189. Tue Apr 30 23:37:28 2019 matrix is 11660759 x 11660936 (5602.0 MB) with weight 1622460840 (139.14/col)
  190. Tue Apr 30 23:37:28 2019 sparse part has weight 1340248979 (114.93/col)
  191. Tue Apr 30 23:37:28 2019 saving the first 48 matrix rows for later
  192. Tue Apr 30 23:37:30 2019 matrix includes 64 packed rows
  193. Tue Apr 30 23:37:31 2019 matrix is 11660711 x 11660936 (5382.8 MB) with weight 1395369701 (119.66/col)
  194. Tue Apr 30 23:37:31 2019 sparse part has weight 1294464496 (111.01/col)
  195. Tue Apr 30 23:37:31 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  196. Tue Apr 30 23:38:06 2019 commencing Lanczos iteration (4 threads)
  197. Tue Apr 30 23:38:06 2019 memory use: 5136.6 MB
  198. Tue Apr 30 23:38:57 2019 linear algebra at 0.0%, ETA 104h49m
  199. Tue Apr 30 23:39:14 2019 checkpointing every 120000 dimensions
  200. Thu May 2 19:24:13 2019
  201. Thu May 2 19:24:13 2019
  202. Thu May 2 19:24:13 2019 Msieve v. 1.54 (SVN 1025)
  203. Thu May 2 19:24:13 2019 random seeds: aa4f8d90 7d904a95
  204. Thu May 2 19:24:13 2019 factoring 547714094625624457604172633378204678006581177147863302698792145703500351002836955888445324462086887629807431024677283022665270917384179898769536131770941087168305853087894949499368504209440565179243613320632714252809 (216 digits)
  205. Thu May 2 19:24:13 2019 searching for 15-digit factors
  206. Thu May 2 19:24:14 2019 commencing number field sieve (216-digit input)
  207. Thu May 2 19:24:14 2019 R0: 527343255303841790870720812082050804460293
  208. Thu May 2 19:24:14 2019 R1: -1
  209. Thu May 2 19:24:14 2019 A0: -157
  210. Thu May 2 19:24:14 2019 A1: 0
  211. Thu May 2 19:24:14 2019 A2: 0
  212. Thu May 2 19:24:14 2019 A3: 0
  213. Thu May 2 19:24:14 2019 A4: 0
  214. Thu May 2 19:24:14 2019 A5: 0
  215. Thu May 2 19:24:14 2019 A6: 1
  216. Thu May 2 19:24:14 2019 skew 2.32, size 2.707e-12, alpha 0.228, combined = 2.419e-13 rroots = 2
  217. Thu May 2 19:24:14 2019
  218. Thu May 2 19:24:14 2019 commencing linear algebra
  219. Thu May 2 19:24:14 2019 skipping matrix build
  220. Thu May 2 19:24:24 2019 matrix starts at (0, 0)
  221. Thu May 2 19:24:25 2019 matrix is 11660759 x 11660936 (5602.0 MB) with weight 1622460840 (139.14/col)
  222. Thu May 2 19:24:25 2019 sparse part has weight 1340248979 (114.93/col)
  223. Thu May 2 19:24:25 2019 saving the first 48 matrix rows for later
  224. Thu May 2 19:24:27 2019 matrix includes 64 packed rows
  225. Thu May 2 19:24:29 2019 matrix is 11660711 x 11660936 (5382.8 MB) with weight 1395369701 (119.66/col)
  226. Thu May 2 19:24:29 2019 sparse part has weight 1294464496 (111.01/col)
  227. Thu May 2 19:24:29 2019 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  228. Thu May 2 19:25:04 2019 commencing Lanczos iteration (4 threads)
  229. Thu May 2 19:25:04 2019 memory use: 5136.6 MB
  230. Thu May 2 19:25:05 2019 restarting at iteration 77805 (dim = 4920040)
  231. Thu May 2 19:26:09 2019 linear algebra at 42.2%, ETA 79h 1m
  232. Thu May 2 19:26:31 2019 checkpointing every 90000 dimensions
  233. Sun May 5 00:35:26 2019 lanczos halted after 184406 iterations (dim = 11660709)
  234. Sun May 5 00:35:44 2019 recovered 35 nontrivial dependencies
  235. Sun May 5 00:35:44 2019 BLanczosTime: 191490
  236. Sun May 5 00:35:44 2019
  237. Sun May 5 00:35:44 2019 commencing square root phase
  238. Sun May 5 00:35:44 2019 handling dependencies 1 to 64
  239. Sun May 5 00:35:44 2019 reading relations for dependency 1
  240. Sun May 5 00:35:45 2019 read 5829912 cycles
  241. Sun May 5 00:35:55 2019 cycles contain 19463250 unique relations
  242. Sun May 5 00:37:27 2019 read 19463250 relations
  243. Sun May 5 00:38:31 2019 multiplying 19463250 relations
  244. Sun May 5 00:49:11 2019 multiply complete, coefficients have about 499.38 million bits
  245. Sun May 5 00:49:13 2019 initial square root is modulo 912916633
  246. Sun May 5 01:00:38 2019 GCD is 1, no factor found
  247. Sun May 5 01:00:38 2019 reading relations for dependency 2
  248. Sun May 5 01:00:40 2019 read 5832088 cycles
  249. Sun May 5 01:00:49 2019 cycles contain 19464640 unique relations
  250. Sun May 5 01:02:21 2019 read 19464640 relations
  251. Sun May 5 01:03:28 2019 multiplying 19464640 relations
  252. Sun May 5 01:14:16 2019 multiply complete, coefficients have about 499.42 million bits
  253. Sun May 5 01:14:18 2019 initial square root is modulo 914535871
  254. Sun May 5 01:25:46 2019 sqrtTime: 3002
  255. Sun May 5 01:25:46 2019 p96 factor: 340150512256453365990049748276415312567028014061927158908417694896657299687379251373640318902729
  256. Sun May 5 01:25:46 2019 p121 factor: 1610210994516099473359997138465941555206563910184254873742716047119901337631840199866956887478963334401613182335155539521
  257. Sun May 5 01:25:46 2019 elapsed time 54:01:33
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