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114__449_5m1

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Jun 3rd, 2019
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  1. Sun Jun 2 08:30:24 2019
  2. Sun Jun 2 08:30:24 2019
  3. Sun Jun 2 08:30:24 2019 Msieve v. 1.54 (SVN 1025)
  4. Sun Jun 2 08:30:24 2019 random seeds: 900064ae e152bf11
  5. Sun Jun 2 08:30:24 2019 factoring 4935949255969353372584596241634412353214063774715029294642359324146076972468367387582213478094890502165766256058559506358368069606047322593983648477132640122420853808361 (169 digits)
  6. Sun Jun 2 08:30:25 2019 searching for 15-digit factors
  7. Sun Jun 2 08:30:25 2019 commencing number field sieve (169-digit input)
  8. Sun Jun 2 08:30:25 2019 R0: 11404166839744977369951045431097848426261924335358449
  9. Sun Jun 2 08:30:25 2019 R1: -1
  10. Sun Jun 2 08:30:25 2019 A0: 1
  11. Sun Jun 2 08:30:25 2019 A1: 1
  12. Sun Jun 2 08:30:25 2019 A2: 1
  13. Sun Jun 2 08:30:25 2019 A3: 1
  14. Sun Jun 2 08:30:25 2019 A4: 1
  15. Sun Jun 2 08:30:25 2019 skew 1.00, size 3.077e-21, alpha 1.694, combined = 1.085e-12 rroots = 0
  16. Sun Jun 2 08:30:25 2019
  17. Sun Jun 2 08:30:25 2019 commencing relation filtering
  18. Sun Jun 2 08:30:25 2019 setting max relations to 215000000
  19. Sun Jun 2 08:30:25 2019 setting target matrix density to 140.0
  20. Sun Jun 2 08:30:25 2019 estimated available RAM is 15984.6 MB
  21. Sun Jun 2 08:30:25 2019 commencing duplicate removal, pass 1
  22. Sun Jun 2 08:41:47 2019 error -15 reading relation 107635608
  23. Sun Jun 2 08:43:05 2019 error -5 reading relation 120021082
  24. Sun Jun 2 08:45:27 2019 error -1 reading relation 142407033
  25. Sun Jun 2 08:53:08 2019 skipped 355 relations with b > 2^32
  26. Sun Jun 2 08:53:08 2019 skipped 2 relations with composite factors
  27. Sun Jun 2 08:53:08 2019 found 10079765 hash collisions in 214999640 relations
  28. Sun Jun 2 08:53:08 2019 commencing duplicate removal, pass 2
  29. Sun Jun 2 08:53:59 2019 found 0 duplicates and 214999640 unique relations
  30. Sun Jun 2 08:53:59 2019 memory use: 756.8 MB
  31. Sun Jun 2 08:53:59 2019 reading ideals above 109903872
  32. Sun Jun 2 08:53:59 2019 commencing singleton removal, initial pass
  33. Sun Jun 2 09:10:17 2019 memory use: 3012.0 MB
  34. Sun Jun 2 09:10:17 2019 reading all ideals from disk
  35. Sun Jun 2 09:10:25 2019 memory use: 3563.0 MB
  36. Sun Jun 2 09:10:32 2019 commencing in-memory singleton removal
  37. Sun Jun 2 09:10:39 2019 begin with 214999640 relations and 160124938 unique ideals
  38. Sun Jun 2 09:11:44 2019 reduce to 151348823 relations and 90751545 ideals in 11 passes
  39. Sun Jun 2 09:11:44 2019 max relations containing the same ideal: 67
  40. Sun Jun 2 09:11:50 2019 reading ideals above 720000
  41. Sun Jun 2 09:11:51 2019 commencing singleton removal, initial pass
  42. Sun Jun 2 09:26:20 2019 memory use: 2756.0 MB
  43. Sun Jun 2 09:26:20 2019 reading all ideals from disk
  44. Sun Jun 2 09:26:34 2019 memory use: 5697.6 MB
  45. Sun Jun 2 09:26:49 2019 keeping 102531237 ideals with weight <= 200, target excess is 815351
  46. Sun Jun 2 09:27:04 2019 commencing in-memory singleton removal
  47. Sun Jun 2 09:27:14 2019 begin with 151348823 relations and 102531237 unique ideals
  48. Sun Jun 2 09:28:07 2019 reduce to 151346270 relations and 102528684 ideals in 5 passes
  49. Sun Jun 2 09:28:07 2019 max relations containing the same ideal: 200
  50. Sun Jun 2 09:28:56 2019 removing 8826765 relations and 6826765 ideals in 2000000 cliques
  51. Sun Jun 2 09:28:59 2019 commencing in-memory singleton removal
  52. Sun Jun 2 09:29:09 2019 begin with 142519505 relations and 102528684 unique ideals
  53. Sun Jun 2 09:30:19 2019 reduce to 142109789 relations and 95284988 ideals in 7 passes
  54. Sun Jun 2 09:30:19 2019 max relations containing the same ideal: 199
  55. Sun Jun 2 09:31:05 2019 removing 6787570 relations and 4787570 ideals in 2000000 cliques
  56. Sun Jun 2 09:31:08 2019 commencing in-memory singleton removal
  57. Sun Jun 2 09:31:17 2019 begin with 135322219 relations and 95284988 unique ideals
  58. Sun Jun 2 09:32:22 2019 reduce to 135051311 relations and 90222430 ideals in 7 passes
  59. Sun Jun 2 09:32:22 2019 max relations containing the same ideal: 196
  60. Sun Jun 2 09:33:06 2019 removing 6232716 relations and 4232716 ideals in 2000000 cliques
  61. Sun Jun 2 09:33:08 2019 commencing in-memory singleton removal
  62. Sun Jun 2 09:33:17 2019 begin with 128818595 relations and 90222430 unique ideals
  63. Sun Jun 2 09:34:10 2019 reduce to 128590446 relations and 85758159 ideals in 6 passes
  64. Sun Jun 2 09:34:10 2019 max relations containing the same ideal: 190
  65. Sun Jun 2 09:34:52 2019 removing 5938424 relations and 3938424 ideals in 2000000 cliques
  66. Sun Jun 2 09:34:54 2019 commencing in-memory singleton removal
  67. Sun Jun 2 09:35:02 2019 begin with 122652022 relations and 85758159 unique ideals
  68. Sun Jun 2 09:35:51 2019 reduce to 122447573 relations and 81612072 ideals in 6 passes
  69. Sun Jun 2 09:35:51 2019 max relations containing the same ideal: 185
  70. Sun Jun 2 09:36:30 2019 removing 5735882 relations and 3735882 ideals in 2000000 cliques
  71. Sun Jun 2 09:36:32 2019 commencing in-memory singleton removal
  72. Sun Jun 2 09:36:39 2019 begin with 116711691 relations and 81612072 unique ideals
  73. Sun Jun 2 09:37:26 2019 reduce to 116519303 relations and 77680751 ideals in 6 passes
  74. Sun Jun 2 09:37:26 2019 max relations containing the same ideal: 181
  75. Sun Jun 2 09:38:03 2019 removing 5593430 relations and 3593430 ideals in 2000000 cliques
  76. Sun Jun 2 09:38:05 2019 commencing in-memory singleton removal
  77. Sun Jun 2 09:38:13 2019 begin with 110925873 relations and 77680751 unique ideals
  78. Sun Jun 2 09:38:56 2019 reduce to 110743269 relations and 73901792 ideals in 6 passes
  79. Sun Jun 2 09:38:56 2019 max relations containing the same ideal: 179
  80. Sun Jun 2 09:39:32 2019 removing 5484553 relations and 3484553 ideals in 2000000 cliques
  81. Sun Jun 2 09:39:34 2019 commencing in-memory singleton removal
  82. Sun Jun 2 09:39:40 2019 begin with 105258716 relations and 73901792 unique ideals
  83. Sun Jun 2 09:40:32 2019 reduce to 105083125 relations and 70238501 ideals in 7 passes
  84. Sun Jun 2 09:40:32 2019 max relations containing the same ideal: 170
  85. Sun Jun 2 09:41:09 2019 removing 5391993 relations and 3391993 ideals in 2000000 cliques
  86. Sun Jun 2 09:41:11 2019 commencing in-memory singleton removal
  87. Sun Jun 2 09:41:18 2019 begin with 99691132 relations and 70238501 unique ideals
  88. Sun Jun 2 09:42:00 2019 reduce to 99519195 relations and 66671293 ideals in 6 passes
  89. Sun Jun 2 09:42:00 2019 max relations containing the same ideal: 163
  90. Sun Jun 2 09:42:29 2019 removing 5319887 relations and 3319887 ideals in 2000000 cliques
  91. Sun Jun 2 09:42:31 2019 commencing in-memory singleton removal
  92. Sun Jun 2 09:42:35 2019 begin with 94199308 relations and 66671293 unique ideals
  93. Sun Jun 2 09:43:07 2019 reduce to 94029421 relations and 63178146 ideals in 6 passes
  94. Sun Jun 2 09:43:07 2019 max relations containing the same ideal: 158
  95. Sun Jun 2 09:43:33 2019 removing 5256879 relations and 3256879 ideals in 2000000 cliques
  96. Sun Jun 2 09:43:35 2019 commencing in-memory singleton removal
  97. Sun Jun 2 09:43:39 2019 begin with 88772542 relations and 63178146 unique ideals
  98. Sun Jun 2 09:44:09 2019 reduce to 88602966 relations and 59748226 ideals in 6 passes
  99. Sun Jun 2 09:44:09 2019 max relations containing the same ideal: 156
  100. Sun Jun 2 09:44:34 2019 removing 5203730 relations and 3203730 ideals in 2000000 cliques
  101. Sun Jun 2 09:44:36 2019 commencing in-memory singleton removal
  102. Sun Jun 2 09:44:40 2019 begin with 83399236 relations and 59748226 unique ideals
  103. Sun Jun 2 09:45:08 2019 reduce to 83228601 relations and 56370151 ideals in 6 passes
  104. Sun Jun 2 09:45:08 2019 max relations containing the same ideal: 151
  105. Sun Jun 2 09:45:31 2019 removing 5157654 relations and 3157654 ideals in 2000000 cliques
  106. Sun Jun 2 09:45:33 2019 commencing in-memory singleton removal
  107. Sun Jun 2 09:45:37 2019 begin with 78070947 relations and 56370151 unique ideals
  108. Sun Jun 2 09:46:02 2019 reduce to 77897965 relations and 53035546 ideals in 6 passes
  109. Sun Jun 2 09:46:02 2019 max relations containing the same ideal: 146
  110. Sun Jun 2 09:46:24 2019 removing 5116348 relations and 3116348 ideals in 2000000 cliques
  111. Sun Jun 2 09:46:26 2019 commencing in-memory singleton removal
  112. Sun Jun 2 09:46:30 2019 begin with 72781617 relations and 53035546 unique ideals
  113. Sun Jun 2 09:46:49 2019 reduce to 72605255 relations and 49738622 ideals in 5 passes
  114. Sun Jun 2 09:46:49 2019 max relations containing the same ideal: 139
  115. Sun Jun 2 09:47:10 2019 removing 5082449 relations and 3082449 ideals in 2000000 cliques
  116. Sun Jun 2 09:47:12 2019 commencing in-memory singleton removal
  117. Sun Jun 2 09:47:15 2019 begin with 67522806 relations and 49738622 unique ideals
  118. Sun Jun 2 09:47:37 2019 reduce to 67341516 relations and 46470340 ideals in 6 passes
  119. Sun Jun 2 09:47:37 2019 max relations containing the same ideal: 132
  120. Sun Jun 2 09:47:56 2019 removing 5049208 relations and 3049208 ideals in 2000000 cliques
  121. Sun Jun 2 09:47:58 2019 commencing in-memory singleton removal
  122. Sun Jun 2 09:48:01 2019 begin with 62292308 relations and 46470340 unique ideals
  123. Sun Jun 2 09:48:17 2019 reduce to 62103081 relations and 43226931 ideals in 5 passes
  124. Sun Jun 2 09:48:17 2019 max relations containing the same ideal: 124
  125. Sun Jun 2 09:48:35 2019 removing 5025983 relations and 3025983 ideals in 2000000 cliques
  126. Sun Jun 2 09:48:37 2019 commencing in-memory singleton removal
  127. Sun Jun 2 09:48:39 2019 begin with 57077098 relations and 43226931 unique ideals
  128. Sun Jun 2 09:48:58 2019 reduce to 56880338 relations and 39998574 ideals in 6 passes
  129. Sun Jun 2 09:48:58 2019 max relations containing the same ideal: 120
  130. Sun Jun 2 09:49:14 2019 removing 5002894 relations and 3002894 ideals in 2000000 cliques
  131. Sun Jun 2 09:49:15 2019 commencing in-memory singleton removal
  132. Sun Jun 2 09:49:18 2019 begin with 51877444 relations and 39998574 unique ideals
  133. Sun Jun 2 09:49:34 2019 reduce to 51667788 relations and 36779754 ideals in 6 passes
  134. Sun Jun 2 09:49:34 2019 max relations containing the same ideal: 111
  135. Sun Jun 2 09:49:49 2019 removing 4983398 relations and 2983398 ideals in 2000000 cliques
  136. Sun Jun 2 09:49:51 2019 commencing in-memory singleton removal
  137. Sun Jun 2 09:49:53 2019 begin with 46684390 relations and 36779754 unique ideals
  138. Sun Jun 2 09:50:08 2019 reduce to 46461966 relations and 33566693 ideals in 6 passes
  139. Sun Jun 2 09:50:08 2019 max relations containing the same ideal: 104
  140. Sun Jun 2 09:50:21 2019 removing 4966680 relations and 2966680 ideals in 2000000 cliques
  141. Sun Jun 2 09:50:22 2019 commencing in-memory singleton removal
  142. Sun Jun 2 09:50:24 2019 begin with 41495286 relations and 33566693 unique ideals
  143. Sun Jun 2 09:50:37 2019 reduce to 41255813 relations and 30352207 ideals in 6 passes
  144. Sun Jun 2 09:50:37 2019 max relations containing the same ideal: 97
  145. Sun Jun 2 09:50:49 2019 removing 4951272 relations and 2951272 ideals in 2000000 cliques
  146. Sun Jun 2 09:50:51 2019 commencing in-memory singleton removal
  147. Sun Jun 2 09:50:52 2019 begin with 36304541 relations and 30352207 unique ideals
  148. Sun Jun 2 09:51:04 2019 reduce to 36043502 relations and 27129699 ideals in 6 passes
  149. Sun Jun 2 09:51:04 2019 max relations containing the same ideal: 86
  150. Sun Jun 2 09:51:14 2019 removing 4940631 relations and 2940631 ideals in 2000000 cliques
  151. Sun Jun 2 09:51:15 2019 commencing in-memory singleton removal
  152. Sun Jun 2 09:51:17 2019 begin with 31102871 relations and 27129699 unique ideals
  153. Sun Jun 2 09:51:26 2019 reduce to 30812967 relations and 23886685 ideals in 6 passes
  154. Sun Jun 2 09:51:26 2019 max relations containing the same ideal: 76
  155. Sun Jun 2 09:51:35 2019 removing 4928285 relations and 2928285 ideals in 2000000 cliques
  156. Sun Jun 2 09:51:36 2019 commencing in-memory singleton removal
  157. Sun Jun 2 09:51:37 2019 begin with 25884682 relations and 23886685 unique ideals
  158. Sun Jun 2 09:51:45 2019 reduce to 25552524 relations and 20609721 ideals in 6 passes
  159. Sun Jun 2 09:51:45 2019 max relations containing the same ideal: 66
  160. Sun Jun 2 09:51:52 2019 removing 4916022 relations and 2916022 ideals in 2000000 cliques
  161. Sun Jun 2 09:51:54 2019 commencing in-memory singleton removal
  162. Sun Jun 2 09:51:54 2019 begin with 20636502 relations and 20609721 unique ideals
  163. Sun Jun 2 09:52:01 2019 reduce to 20235093 relations and 17268430 ideals in 7 passes
  164. Sun Jun 2 09:52:01 2019 max relations containing the same ideal: 58
  165. Sun Jun 2 09:52:07 2019 removing 4910611 relations and 2910611 ideals in 2000000 cliques
  166. Sun Jun 2 09:52:08 2019 commencing in-memory singleton removal
  167. Sun Jun 2 09:52:09 2019 begin with 15324482 relations and 17268430 unique ideals
  168. Sun Jun 2 09:52:15 2019 reduce to 14775577 relations and 13768547 ideals in 8 passes
  169. Sun Jun 2 09:52:15 2019 max relations containing the same ideal: 47
  170. Sun Jun 2 09:52:19 2019 removing 276789 relations and 215567 ideals in 61222 cliques
  171. Sun Jun 2 09:52:20 2019 commencing in-memory singleton removal
  172. Sun Jun 2 09:52:20 2019 begin with 14498788 relations and 13768547 unique ideals
  173. Sun Jun 2 09:52:24 2019 reduce to 14493017 relations and 13547183 ideals in 5 passes
  174. Sun Jun 2 09:52:24 2019 max relations containing the same ideal: 47
  175. Sun Jun 2 09:52:25 2019 relations with 0 large ideals: 0
  176. Sun Jun 2 09:52:25 2019 relations with 1 large ideals: 33622
  177. Sun Jun 2 09:52:25 2019 relations with 2 large ideals: 381928
  178. Sun Jun 2 09:52:25 2019 relations with 3 large ideals: 1617506
  179. Sun Jun 2 09:52:25 2019 relations with 4 large ideals: 3401368
  180. Sun Jun 2 09:52:25 2019 relations with 5 large ideals: 4091140
  181. Sun Jun 2 09:52:25 2019 relations with 6 large ideals: 3027787
  182. Sun Jun 2 09:52:25 2019 relations with 7+ large ideals: 1939666
  183. Sun Jun 2 09:52:25 2019 commencing 2-way merge
  184. Sun Jun 2 09:52:30 2019 reduce to 10352490 relation sets and 9406656 unique ideals
  185. Sun Jun 2 09:52:30 2019 commencing full merge
  186. Sun Jun 2 09:54:57 2019 memory use: 1140.9 MB
  187. Sun Jun 2 09:54:58 2019 found 4368557 cycles, need 4330856
  188. Sun Jun 2 09:54:59 2019 weight of 4330856 cycles is about 606483853 (140.04/cycle)
  189. Sun Jun 2 09:54:59 2019 distribution of cycle lengths:
  190. Sun Jun 2 09:54:59 2019 1 relations: 45440
  191. Sun Jun 2 09:54:59 2019 2 relations: 162822
  192. Sun Jun 2 09:54:59 2019 3 relations: 234355
  193. Sun Jun 2 09:54:59 2019 4 relations: 276098
  194. Sun Jun 2 09:54:59 2019 5 relations: 311276
  195. Sun Jun 2 09:54:59 2019 6 relations: 325147
  196. Sun Jun 2 09:54:59 2019 7 relations: 329496
  197. Sun Jun 2 09:54:59 2019 8 relations: 318525
  198. Sun Jun 2 09:54:59 2019 9 relations: 300944
  199. Sun Jun 2 09:54:59 2019 10+ relations: 2026753
  200. Sun Jun 2 09:54:59 2019 heaviest cycle: 28 relations
  201. Sun Jun 2 09:55:00 2019 commencing cycle optimization
  202. Sun Jun 2 09:55:07 2019 start with 43387382 relations
  203. Sun Jun 2 09:56:27 2019 pruned 2944880 relations
  204. Sun Jun 2 09:56:27 2019 memory use: 1038.5 MB
  205. Sun Jun 2 09:56:27 2019 distribution of cycle lengths:
  206. Sun Jun 2 09:56:27 2019 1 relations: 45440
  207. Sun Jun 2 09:56:27 2019 2 relations: 169033
  208. Sun Jun 2 09:56:27 2019 3 relations: 247823
  209. Sun Jun 2 09:56:27 2019 4 relations: 294110
  210. Sun Jun 2 09:56:27 2019 5 relations: 336070
  211. Sun Jun 2 09:56:27 2019 6 relations: 351750
  212. Sun Jun 2 09:56:27 2019 7 relations: 359244
  213. Sun Jun 2 09:56:27 2019 8 relations: 345528
  214. Sun Jun 2 09:56:27 2019 9 relations: 325914
  215. Sun Jun 2 09:56:27 2019 10+ relations: 1855944
  216. Sun Jun 2 09:56:27 2019 heaviest cycle: 28 relations
  217. Sun Jun 2 09:56:35 2019 RelProcTime: 5170
  218. Sun Jun 2 09:56:35 2019
  219. Sun Jun 2 09:56:35 2019 commencing linear algebra
  220. Sun Jun 2 09:56:36 2019 read 4330856 cycles
  221. Sun Jun 2 09:56:44 2019 cycles contain 14100906 unique relations
  222. Sun Jun 2 09:58:00 2019 read 14100906 relations
  223. Sun Jun 2 09:58:26 2019 using 20 quadratic characters above 4294917295
  224. Sun Jun 2 09:59:14 2019 building initial matrix
  225. Sun Jun 2 10:01:53 2019 memory use: 1784.1 MB
  226. Sun Jun 2 10:01:55 2019 read 4330856 cycles
  227. Sun Jun 2 10:01:55 2019 matrix is 4330679 x 4330856 (2254.1 MB) with weight 643601777 (148.61/col)
  228. Sun Jun 2 10:01:55 2019 sparse part has weight 543250801 (125.44/col)
  229. Sun Jun 2 10:02:49 2019 filtering completed in 2 passes
  230. Sun Jun 2 10:02:50 2019 matrix is 4330595 x 4330772 (2254.1 MB) with weight 643597478 (148.61/col)
  231. Sun Jun 2 10:02:50 2019 sparse part has weight 543248514 (125.44/col)
  232. Sun Jun 2 10:03:01 2019 matrix starts at (0, 0)
  233. Sun Jun 2 10:03:02 2019 matrix is 4330595 x 4330772 (2254.1 MB) with weight 643597478 (148.61/col)
  234. Sun Jun 2 10:03:02 2019 sparse part has weight 543248514 (125.44/col)
  235. Sun Jun 2 10:03:02 2019 saving the first 48 matrix rows for later
  236. Sun Jun 2 10:03:02 2019 matrix includes 64 packed rows
  237. Sun Jun 2 10:03:03 2019 matrix is 4330547 x 4330772 (2156.4 MB) with weight 559574175 (129.21/col)
  238. Sun Jun 2 10:03:03 2019 sparse part has weight 521991999 (120.53/col)
  239. Sun Jun 2 10:03:03 2019 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  240. Sun Jun 2 10:03:20 2019 commencing Lanczos iteration (4 threads)
  241. Sun Jun 2 10:03:20 2019 memory use: 2017.8 MB
  242. Sun Jun 2 10:03:46 2019 linear algebra at 0.0%, ETA 19h45m
  243. Sun Jun 2 10:03:54 2019 checkpointing every 230000 dimensions
  244. Sun Jun 2 20:27:12 2019 lanczos halted after 68489 iterations (dim = 4330546)
  245. Sun Jun 2 20:27:18 2019 recovered 40 nontrivial dependencies
  246. Sun Jun 2 20:27:18 2019 BLanczosTime: 37843
  247. Sun Jun 2 20:27:18 2019
  248. Sun Jun 2 20:27:18 2019 commencing square root phase
  249. Sun Jun 2 20:27:18 2019 handling dependencies 1 to 64
  250. Sun Jun 2 20:27:18 2019 reading relations for dependency 1
  251. Sun Jun 2 20:27:18 2019 read 2165241 cycles
  252. Sun Jun 2 20:27:21 2019 cycles contain 7053336 unique relations
  253. Sun Jun 2 20:28:13 2019 read 7053336 relations
  254. Sun Jun 2 20:28:34 2019 multiplying 7053336 relations
  255. Sun Jun 2 20:30:11 2019 multiply complete, coefficients have about 177.68 million bits
  256. Sun Jun 2 20:30:11 2019 initial square root is modulo 2379547
  257. Sun Jun 2 20:32:13 2019 sqrtTime: 295
  258. Sun Jun 2 20:32:13 2019 p78 factor: 149121105189254571699669745880183915046301005713062227147389585934140268406921
  259. Sun Jun 2 20:32:13 2019 p92 factor: 33100272759546513743540025392907714658971195397577775668521338093978667943386009924363532641
  260. Sun Jun 2 20:32:13 2019 elapsed time 12:01:49
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