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Msieve log of 141__771_13m1

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Jan 26th, 2021
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  1. Sun Jan 24 20:34:41 2021
  2. Sun Jan 24 20:34:41 2021
  3. Sun Jan 24 20:34:41 2021 Msieve v. 1.53 (SVN 988)
  4. Sun Jan 24 20:34:41 2021 random seeds: 3b0a4c40 1b22f61e
  5. Sun Jan 24 20:34:41 2021 factoring 5218719579328614238327346931164068787959052083868902691552203179774707651062831535421161899032779216391486477545801137715844081033606543875381228926802499688426209108735503548578529899799995143810843789651 (205 digits)
  6. Sun Jan 24 20:34:43 2021 searching for 15-digit factors
  7. Sun Jan 24 20:34:43 2021 commencing number field sieve (205-digit input)
  8. Sun Jan 24 20:34:43 2021 R0: 201584190499294993262787836583270880442
  9. Sun Jan 24 20:34:43 2021 R1: -14198034740741233771
  10. Sun Jan 24 20:34:43 2021 A0: -1
  11. Sun Jan 24 20:34:43 2021 A1: 3
  12. Sun Jan 24 20:34:43 2021 A2: 6
  13. Sun Jan 24 20:34:43 2021 A3: -4
  14. Sun Jan 24 20:34:43 2021 A4: -5
  15. Sun Jan 24 20:34:43 2021 A5: 1
  16. Sun Jan 24 20:34:43 2021 A6: 1
  17. Sun Jan 24 20:34:43 2021 skew 1.00, size 2.562e-011, alpha 3.126, combined = 1.238e-012 rroots = 6
  18. Sun Jan 24 20:34:43 2021
  19. Sun Jan 24 20:34:43 2021 commencing relation filtering
  20. Sun Jan 24 20:34:43 2021 setting target matrix density to 120.0
  21. Sun Jan 24 20:34:43 2021 estimated available RAM is 12043.5 MB
  22. Sun Jan 24 20:34:43 2021 commencing duplicate removal, pass 1
  23. Sun Jan 24 20:40:09 2021 error -5 reading relation 28450446
  24. Sun Jan 24 20:40:13 2021 error -9 reading relation 28846258
  25. Sun Jan 24 20:43:32 2021 error -1 reading relation 46382929
  26. Sun Jan 24 20:43:34 2021 error -5 reading relation 46601075
  27. Sun Jan 24 20:44:02 2021 error -5 reading relation 49032085
  28. Sun Jan 24 20:44:12 2021 error -5 reading relation 49880985
  29. Sun Jan 24 20:49:05 2021 error -15 reading relation 70960320
  30. Sun Jan 24 20:49:26 2021 error -5 reading relation 72613937
  31. Sun Jan 24 20:49:26 2021 error -15 reading relation 72635024
  32. Sun Jan 24 20:49:36 2021 error -9 reading relation 73452046
  33. Sun Jan 24 20:51:49 2021 error -1 reading relation 83748462
  34. Sun Jan 24 20:51:49 2021 error -1 reading relation 83777056
  35. Sun Jan 24 20:52:06 2021 error -9 reading relation 85075713
  36. Sun Jan 24 20:52:17 2021 error -9 reading relation 85815736
  37. Sun Jan 24 20:52:56 2021 error -9 reading relation 88812167
  38. Sun Jan 24 20:53:03 2021 error -9 reading relation 89327510
  39. Sun Jan 24 20:53:21 2021 error -1 reading relation 90677789
  40. Sun Jan 24 20:53:28 2021 error -9 reading relation 91222551
  41. Sun Jan 24 20:53:49 2021 error -15 reading relation 92798401
  42. Sun Jan 24 20:53:51 2021 error -9 reading relation 93019395
  43. Sun Jan 24 20:54:06 2021 error -9 reading relation 94119817
  44. Sun Jan 24 20:54:09 2021 error -9 reading relation 94355977
  45. Sun Jan 24 20:54:10 2021 error -15 reading relation 94390970
  46. Sun Jan 24 20:54:10 2021 error -1 reading relation 94390971
  47. Sun Jan 24 20:54:15 2021 error -9 reading relation 94778684
  48. Sun Jan 24 20:54:22 2021 error -9 reading relation 95305299
  49. Sun Jan 24 20:54:23 2021 error -1 reading relation 95333513
  50. Sun Jan 24 20:54:23 2021 error -9 reading relation 95337542
  51. Sun Jan 24 20:54:30 2021 error -9 reading relation 95908526
  52. Sun Jan 24 20:54:31 2021 error -9 reading relation 95973388
  53. Sun Jan 24 20:54:37 2021 error -9 reading relation 96422867
  54. Sun Jan 24 20:54:56 2021 error -9 reading relation 97894098
  55. Sun Jan 24 20:55:00 2021 error -15 reading relation 98151108
  56. Sun Jan 24 20:55:43 2021 error -5 reading relation 101607580
  57. Sun Jan 24 20:55:43 2021 error -5 reading relation 101616181
  58. Sun Jan 24 20:56:01 2021 error -9 reading relation 102989624
  59. Sun Jan 24 20:56:20 2021 error -5 reading relation 104404221
  60. Sun Jan 24 20:57:31 2021 error -9 reading relation 109893104
  61. Sun Jan 24 20:57:31 2021 error -15 reading relation 109918712
  62. Sun Jan 24 20:57:36 2021 error -9 reading relation 110313092
  63. Sun Jan 24 20:57:53 2021 error -5 reading relation 111604746
  64. Sun Jan 24 20:57:55 2021 error -15 reading relation 111717075
  65. Sun Jan 24 20:58:22 2021 error -15 reading relation 113798608
  66. Sun Jan 24 20:58:22 2021 error -9 reading relation 113846764
  67. Sun Jan 24 20:58:22 2021 error -5 reading relation 113846765
  68. Sun Jan 24 20:58:23 2021 error -9 reading relation 113871114
  69. Sun Jan 24 20:59:14 2021 error -5 reading relation 117727797
  70. Sun Jan 24 20:59:14 2021 error -9 reading relation 117728022
  71. Sun Jan 24 20:59:29 2021 error -1 reading relation 118913283
  72. Sun Jan 24 20:59:29 2021 error -1 reading relation 118922327
  73. Sun Jan 24 20:59:30 2021 error -9 reading relation 118954944
  74. Sun Jan 24 20:59:34 2021 error -15 reading relation 119237906
  75. Sun Jan 24 20:59:34 2021 error -15 reading relation 119237978
  76. Sun Jan 24 20:59:34 2021 error -15 reading relation 119289010
  77. Sun Jan 24 20:59:34 2021 error -9 reading relation 119292957
  78. Sun Jan 24 20:59:36 2021 error -9 reading relation 119436812
  79. Sun Jan 24 20:59:51 2021 error -15 reading relation 120591949
  80. Sun Jan 24 21:00:17 2021 error -15 reading relation 122590892
  81. Sun Jan 24 21:00:19 2021 error -9 reading relation 122738445
  82. Sun Jan 24 21:00:40 2021 error -9 reading relation 124318485
  83. Sun Jan 24 21:01:12 2021 error -15 reading relation 126804673
  84. Sun Jan 24 21:02:05 2021 error -9 reading relation 130936092
  85. Sun Jan 24 21:02:05 2021 error -9 reading relation 130969202
  86. Sun Jan 24 21:02:06 2021 skipped 5 relations with b > 2^32
  87. Sun Jan 24 21:02:06 2021 skipped 25 relations with composite factors
  88. Sun Jan 24 21:02:06 2021 found 25123652 hash collisions in 131025727 relations
  89. Sun Jan 24 21:02:16 2021 added 2438358 free relations
  90. Sun Jan 24 21:02:16 2021 commencing duplicate removal, pass 2
  91. Sun Jan 24 21:04:00 2021 found 23942559 duplicates and 109521526 unique relations
  92. Sun Jan 24 21:04:00 2021 memory use: 660.8 MB
  93. Sun Jan 24 21:04:00 2021 reading ideals above 85917696
  94. Sun Jan 24 21:04:00 2021 commencing singleton removal, initial pass
  95. Sun Jan 24 21:20:47 2021 memory use: 2756.0 MB
  96. Sun Jan 24 21:20:47 2021 reading all ideals from disk
  97. Sun Jan 24 21:20:50 2021 memory use: 1834.3 MB
  98. Sun Jan 24 21:20:56 2021 commencing in-memory singleton removal
  99. Sun Jan 24 21:21:01 2021 begin with 109521526 relations and 83219021 unique ideals
  100. Sun Jan 24 21:21:51 2021 reduce to 78189560 relations and 49164344 ideals in 11 passes
  101. Sun Jan 24 21:21:51 2021 max relations containing the same ideal: 40
  102. Sun Jan 24 21:22:00 2021 reading ideals above 720000
  103. Sun Jan 24 21:22:01 2021 commencing singleton removal, initial pass
  104. Sun Jan 24 21:39:14 2021 memory use: 1506.0 MB
  105. Sun Jan 24 21:39:15 2021 reading all ideals from disk
  106. Sun Jan 24 21:39:20 2021 memory use: 2933.8 MB
  107. Sun Jan 24 21:39:32 2021 keeping 58750079 ideals with weight <= 200, target excess is 402382
  108. Sun Jan 24 21:39:44 2021 commencing in-memory singleton removal
  109. Sun Jan 24 21:39:54 2021 begin with 78189560 relations and 58750079 unique ideals
  110. Sun Jan 24 21:40:29 2021 reduce to 78189275 relations and 58749793 ideals in 4 passes
  111. Sun Jan 24 21:40:29 2021 max relations containing the same ideal: 200
  112. Sun Jan 24 21:41:17 2021 removing 7923935 relations and 5923936 ideals in 2000000 cliques
  113. Sun Jan 24 21:41:21 2021 commencing in-memory singleton removal
  114. Sun Jan 24 21:41:30 2021 begin with 70265340 relations and 58749793 unique ideals
  115. Sun Jan 24 21:42:23 2021 reduce to 69596305 relations and 52135640 ideals in 7 passes
  116. Sun Jan 24 21:42:23 2021 max relations containing the same ideal: 194
  117. Sun Jan 24 21:43:06 2021 removing 6443481 relations and 4443481 ideals in 2000000 cliques
  118. Sun Jan 24 21:43:10 2021 commencing in-memory singleton removal
  119. Sun Jan 24 21:43:18 2021 begin with 63152824 relations and 52135640 unique ideals
  120. Sun Jan 24 21:44:01 2021 reduce to 62688618 relations and 47214487 ideals in 6 passes
  121. Sun Jan 24 21:44:01 2021 max relations containing the same ideal: 182
  122. Sun Jan 24 21:44:39 2021 removing 5991839 relations and 3991839 ideals in 2000000 cliques
  123. Sun Jan 24 21:44:42 2021 commencing in-memory singleton removal
  124. Sun Jan 24 21:44:49 2021 begin with 56696779 relations and 47214487 unique ideals
  125. Sun Jan 24 21:45:24 2021 reduce to 56278772 relations and 42792178 ideals in 6 passes
  126. Sun Jan 24 21:45:24 2021 max relations containing the same ideal: 172
  127. Sun Jan 24 21:45:57 2021 removing 5771095 relations and 3771095 ideals in 2000000 cliques
  128. Sun Jan 24 21:45:59 2021 commencing in-memory singleton removal
  129. Sun Jan 24 21:46:05 2021 begin with 50507677 relations and 42792178 unique ideals
  130. Sun Jan 24 21:46:45 2021 reduce to 50105106 relations and 38605615 ideals in 8 passes
  131. Sun Jan 24 21:46:45 2021 max relations containing the same ideal: 160
  132. Sun Jan 24 21:47:14 2021 removing 5628832 relations and 3628832 ideals in 2000000 cliques
  133. Sun Jan 24 21:47:17 2021 commencing in-memory singleton removal
  134. Sun Jan 24 21:47:22 2021 begin with 44476274 relations and 38605615 unique ideals
  135. Sun Jan 24 21:47:48 2021 reduce to 44066218 relations and 34552111 ideals in 6 passes
  136. Sun Jan 24 21:47:48 2021 max relations containing the same ideal: 146
  137. Sun Jan 24 21:48:14 2021 removing 5540255 relations and 3540255 ideals in 2000000 cliques
  138. Sun Jan 24 21:48:17 2021 commencing in-memory singleton removal
  139. Sun Jan 24 21:48:21 2021 begin with 38525963 relations and 34552111 unique ideals
  140. Sun Jan 24 21:48:47 2021 reduce to 38096089 relations and 30565160 ideals in 7 passes
  141. Sun Jan 24 21:48:47 2021 max relations containing the same ideal: 131
  142. Sun Jan 24 21:49:10 2021 removing 5475681 relations and 3475681 ideals in 2000000 cliques
  143. Sun Jan 24 21:49:12 2021 commencing in-memory singleton removal
  144. Sun Jan 24 21:49:16 2021 begin with 32620408 relations and 30565160 unique ideals
  145. Sun Jan 24 21:49:38 2021 reduce to 32157057 relations and 26605526 ideals in 7 passes
  146. Sun Jan 24 21:49:38 2021 max relations containing the same ideal: 119
  147. Sun Jan 24 21:49:57 2021 removing 5420952 relations and 3420952 ideals in 2000000 cliques
  148. Sun Jan 24 21:49:59 2021 commencing in-memory singleton removal
  149. Sun Jan 24 21:50:02 2021 begin with 26736105 relations and 26605526 unique ideals
  150. Sun Jan 24 21:50:20 2021 reduce to 26222649 relations and 22643894 ideals in 7 passes
  151. Sun Jan 24 21:50:20 2021 max relations containing the same ideal: 102
  152. Sun Jan 24 21:50:36 2021 removing 5372897 relations and 3372897 ideals in 2000000 cliques
  153. Sun Jan 24 21:50:38 2021 commencing in-memory singleton removal
  154. Sun Jan 24 21:50:40 2021 begin with 20849752 relations and 22643894 unique ideals
  155. Sun Jan 24 21:50:54 2021 reduce to 20244755 relations and 18627278 ideals in 7 passes
  156. Sun Jan 24 21:50:54 2021 max relations containing the same ideal: 87
  157. Sun Jan 24 21:51:06 2021 removing 3346403 relations and 2195690 ideals in 1150713 cliques
  158. Sun Jan 24 21:51:08 2021 commencing in-memory singleton removal
  159. Sun Jan 24 21:51:10 2021 begin with 16898352 relations and 18627278 unique ideals
  160. Sun Jan 24 21:51:22 2021 reduce to 16518520 relations and 16032508 ideals in 8 passes
  161. Sun Jan 24 21:51:22 2021 max relations containing the same ideal: 74
  162. Sun Jan 24 21:51:32 2021 removing 109021 relations and 89773 ideals in 19248 cliques
  163. Sun Jan 24 21:51:33 2021 commencing in-memory singleton removal
  164. Sun Jan 24 21:51:34 2021 begin with 16409499 relations and 16032508 unique ideals
  165. Sun Jan 24 21:51:42 2021 reduce to 16408769 relations and 15942003 ideals in 5 passes
  166. Sun Jan 24 21:51:42 2021 max relations containing the same ideal: 73
  167. Sun Jan 24 21:51:45 2021 relations with 0 large ideals: 30269
  168. Sun Jan 24 21:51:45 2021 relations with 1 large ideals: 7461
  169. Sun Jan 24 21:51:45 2021 relations with 2 large ideals: 71650
  170. Sun Jan 24 21:51:45 2021 relations with 3 large ideals: 468616
  171. Sun Jan 24 21:51:45 2021 relations with 4 large ideals: 1631008
  172. Sun Jan 24 21:51:45 2021 relations with 5 large ideals: 3368211
  173. Sun Jan 24 21:51:45 2021 relations with 6 large ideals: 4320379
  174. Sun Jan 24 21:51:45 2021 relations with 7+ large ideals: 6511175
  175. Sun Jan 24 21:51:45 2021 commencing 2-way merge
  176. Sun Jan 24 21:51:59 2021 reduce to 11427879 relation sets and 10961113 unique ideals
  177. Sun Jan 24 21:51:59 2021 commencing full merge
  178. Sun Jan 24 21:58:11 2021 memory use: 1516.4 MB
  179. Sun Jan 24 21:58:14 2021 found 5113832 cycles, need 5111313
  180. Sun Jan 24 21:58:15 2021 weight of 5111313 cycles is about 613598752 (120.05/cycle)
  181. Sun Jan 24 21:58:15 2021 distribution of cycle lengths:
  182. Sun Jan 24 21:58:15 2021 1 relations: 159328
  183. Sun Jan 24 21:58:15 2021 2 relations: 252414
  184. Sun Jan 24 21:58:15 2021 3 relations: 324316
  185. Sun Jan 24 21:58:15 2021 4 relations: 357233
  186. Sun Jan 24 21:58:15 2021 5 relations: 379164
  187. Sun Jan 24 21:58:15 2021 6 relations: 385910
  188. Sun Jan 24 21:58:15 2021 7 relations: 381516
  189. Sun Jan 24 21:58:15 2021 8 relations: 366386
  190. Sun Jan 24 21:58:15 2021 9 relations: 343836
  191. Sun Jan 24 21:58:15 2021 10+ relations: 2161210
  192. Sun Jan 24 21:58:15 2021 heaviest cycle: 28 relations
  193. Sun Jan 24 21:58:20 2021 commencing cycle optimization
  194. Sun Jan 24 21:58:31 2021 start with 47650651 relations
  195. Sun Jan 24 22:01:17 2021 pruned 2602247 relations
  196. Sun Jan 24 22:01:17 2021 memory use: 1175.3 MB
  197. Sun Jan 24 22:01:17 2021 distribution of cycle lengths:
  198. Sun Jan 24 22:01:17 2021 1 relations: 159328
  199. Sun Jan 24 22:01:17 2021 2 relations: 258699
  200. Sun Jan 24 22:01:17 2021 3 relations: 338770
  201. Sun Jan 24 22:01:17 2021 4 relations: 373899
  202. Sun Jan 24 22:01:17 2021 5 relations: 401952
  203. Sun Jan 24 22:01:17 2021 6 relations: 409171
  204. Sun Jan 24 22:01:17 2021 7 relations: 406874
  205. Sun Jan 24 22:01:17 2021 8 relations: 389470
  206. Sun Jan 24 22:01:17 2021 9 relations: 364342
  207. Sun Jan 24 22:01:17 2021 10+ relations: 2008808
  208. Sun Jan 24 22:01:17 2021 heaviest cycle: 28 relations
  209. Sun Jan 24 22:01:26 2021 RelProcTime: 5203
  210. Sun Jan 24 22:01:26 2021
  211. Sun Jan 24 22:01:26 2021 commencing linear algebra
  212. Sun Jan 24 22:01:28 2021 read 5111313 cycles
  213. Sun Jan 24 22:01:42 2021 cycles contain 16195390 unique relations
  214. Sun Jan 24 22:04:20 2021 read 16195390 relations
  215. Sun Jan 24 22:04:59 2021 using 20 quadratic characters above 4294917295
  216. Sun Jan 24 22:06:46 2021 building initial matrix
  217. Sun Jan 24 22:11:29 2021 memory use: 1969.4 MB
  218. Sun Jan 24 22:11:36 2021 read 5111313 cycles
  219. Sun Jan 24 22:11:37 2021 matrix is 5111136 x 5111313 (2355.9 MB) with weight 666860065 (130.47/col)
  220. Sun Jan 24 22:11:37 2021 sparse part has weight 566472981 (110.83/col)
  221. Sun Jan 24 22:12:54 2021 filtering completed in 2 passes
  222. Sun Jan 24 22:12:55 2021 matrix is 5111106 x 5111283 (2355.9 MB) with weight 666859083 (130.47/col)
  223. Sun Jan 24 22:12:55 2021 sparse part has weight 566472613 (110.83/col)
  224. Sun Jan 24 22:13:15 2021 matrix starts at (0, 0)
  225. Sun Jan 24 22:13:16 2021 matrix is 5111106 x 5111283 (2355.9 MB) with weight 666859083 (130.47/col)
  226. Sun Jan 24 22:13:16 2021 sparse part has weight 566472613 (110.83/col)
  227. Sun Jan 24 22:13:16 2021 saving the first 48 matrix rows for later
  228. Sun Jan 24 22:13:18 2021 matrix includes 64 packed rows
  229. Sun Jan 24 22:13:19 2021 matrix is 5111058 x 5111283 (2257.3 MB) with weight 576921328 (112.87/col)
  230. Sun Jan 24 22:13:19 2021 sparse part has weight 540624796 (105.77/col)
  231. Sun Jan 24 22:13:19 2021 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  232. Sun Jan 24 22:13:53 2021 commencing Lanczos iteration (6 threads)
  233. Sun Jan 24 22:13:53 2021 memory use: 1908.6 MB
  234. Sun Jan 24 22:14:19 2021 linear algebra at 0.0%, ETA 23h24m
  235. Sun Jan 24 22:14:27 2021 checkpointing every 230000 dimensions
  236. Mon Jan 25 22:12:46 2021 lanczos halted after 80826 iterations (dim = 5111056)
  237. Mon Jan 25 22:12:54 2021 recovered 33 nontrivial dependencies
  238. Mon Jan 25 22:12:56 2021 BLanczosTime: 87090
  239. Mon Jan 25 22:12:56 2021
  240. Mon Jan 25 22:12:56 2021 commencing square root phase
  241. Mon Jan 25 22:12:56 2021 handling dependencies 1 to 64
  242. Mon Jan 25 22:12:56 2021 reading relations for dependency 1
  243. Mon Jan 25 22:12:58 2021 read 2557180 cycles
  244. Mon Jan 25 22:13:04 2021 cycles contain 8097864 unique relations
  245. Mon Jan 25 22:14:40 2021 read 8097864 relations
  246. Mon Jan 25 22:15:30 2021 multiplying 8097864 relations
  247. Mon Jan 25 22:21:13 2021 multiply complete, coefficients have about 197.51 million bits
  248. Mon Jan 25 22:21:15 2021 initial square root is modulo 12253079
  249. Mon Jan 25 22:27:27 2021 GCD is N, no factor found
  250. Mon Jan 25 22:27:27 2021 reading relations for dependency 2
  251. Mon Jan 25 22:27:29 2021 read 2555054 cycles
  252. Mon Jan 25 22:27:35 2021 cycles contain 8093432 unique relations
  253. Mon Jan 25 22:29:10 2021 read 8093432 relations
  254. Mon Jan 25 22:29:59 2021 multiplying 8093432 relations
  255. Mon Jan 25 22:35:41 2021 multiply complete, coefficients have about 197.41 million bits
  256. Mon Jan 25 22:35:43 2021 initial square root is modulo 12148957
  257. Mon Jan 25 22:43:21 2021 sqrtTime: 1825
  258. Mon Jan 25 22:43:21 2021 p70 factor: 1370419982735734018913270248939934825681878774905766419236027058468379
  259. Mon Jan 25 22:43:21 2021 p136 factor: 3808116960547101131259074718496950031368537694242139338110869494771119377352956653226368168335860289796989619160734318830444724136758569
  260. Mon Jan 25 22:43:21 2021 elapsed time 26:08:40
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