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Nov 21st, 2021
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  1. Wed Nov 17 00:34:41 2021
  2. Wed Nov 17 00:34:41 2021 Msieve v. 1.54 (SVN 1030)
  3. Wed Nov 17 00:34:41 2021 random seeds: 1927259e d56ea12f
  4. Wed Nov 17 00:34:41 2021 factoring 27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507 (200 digits)
  5. Wed Nov 17 00:34:42 2021 no P-1/P+1/ECM available, skipping
  6. Wed Nov 17 00:34:42 2021 commencing number field sieve (200-digit input)
  7. Wed Nov 17 00:34:42 2021 R0: 809727868221258562180306673938892827902099
  8. Wed Nov 17 00:34:42 2021 R1: 1
  9. Wed Nov 17 00:34:42 2021 A0: 1
  10. Wed Nov 17 00:34:42 2021 A1: 0
  11. Wed Nov 17 00:34:42 2021 A2: 0
  12. Wed Nov 17 00:34:42 2021 A3: 0
  13. Wed Nov 17 00:34:42 2021 A4: 0
  14. Wed Nov 17 00:34:42 2021 A5: 0
  15. Wed Nov 17 00:34:42 2021 A6: 99
  16. Wed Nov 17 00:34:42 2021 skew 1.00, size 1.333e-12, alpha 1.350, combined = 1.453e-13 rroots = 0
  17. Wed Nov 17 00:34:42 2021
  18. Wed Nov 17 00:34:42 2021 commencing relation filtering
  19. Wed Nov 17 00:34:42 2021 setting target matrix density to 120.0
  20. Wed Nov 17 00:34:42 2021 estimated available RAM is 16021.5 MB
  21. Wed Nov 17 00:34:42 2021 commencing duplicate removal, pass 1
  22. [ . . . skipped 2914 error -n reading relation nnn messages . . . ]
  23. [ 2169 error -1 ]
  24. [ 1 error -4 ]
  25. [ 323 error -5 ]
  26. [ 71 error -6 ]
  27. [ 140 error -9 ]
  28. [ 172 error -11 ]
  29. [ 38 error -15 ]
  30. Wed Nov 17 01:07:09 2021 skipped 1463 relations with b > 2^32
  31. Wed Nov 17 01:07:09 2021 skipped 409 relations with composite factors
  32. Wed Nov 17 01:07:09 2021 found 35860730 hash collisions in 213215130 relations
  33. Wed Nov 17 01:07:26 2021 added 1219565 free relations
  34. Wed Nov 17 01:07:26 2021 commencing duplicate removal, pass 2
  35. Wed Nov 17 01:09:45 2021 found 33160075 duplicates and 181274620 unique relations
  36. Wed Nov 17 01:09:45 2021 memory use: 1321.5 MB
  37. Wed Nov 17 01:09:45 2021 reading ideals above 144900096
  38. Wed Nov 17 01:09:45 2021 commencing singleton removal, initial pass
  39. Wed Nov 17 01:33:09 2021 memory use: 3012.0 MB
  40. Wed Nov 17 01:33:09 2021 reading all ideals from disk
  41. Wed Nov 17 01:33:12 2021 memory use: 3112.8 MB
  42. Wed Nov 17 01:33:23 2021 commencing in-memory singleton removal
  43. Wed Nov 17 01:33:33 2021 begin with 181274620 relations and 157110880 unique ideals
  44. Wed Nov 17 01:36:27 2021 reduce to 109537668 relations and 77322690 ideals in 16 passes
  45. Wed Nov 17 01:36:27 2021 max relations containing the same ideal: 44
  46. Wed Nov 17 01:36:36 2021 reading ideals above 720000
  47. Wed Nov 17 01:36:36 2021 commencing singleton removal, initial pass
  48. Wed Nov 17 01:55:24 2021 memory use: 2756.0 MB
  49. Wed Nov 17 01:55:25 2021 reading all ideals from disk
  50. Wed Nov 17 01:55:29 2021 memory use: 4453.4 MB
  51. Wed Nov 17 01:55:47 2021 keeping 93083110 ideals with weight <= 200, target excess is 586392
  52. Wed Nov 17 01:56:11 2021 commencing in-memory singleton removal
  53. Wed Nov 17 01:56:24 2021 begin with 109537668 relations and 93083110 unique ideals
  54. Wed Nov 17 01:59:15 2021 reduce to 109532411 relations and 93077853 ideals in 8 passes
  55. Wed Nov 17 01:59:15 2021 max relations containing the same ideal: 200
  56. Wed Nov 17 02:00:46 2021 removing 11675542 relations and 9675542 ideals in 2000000 cliques
  57. Wed Nov 17 02:00:50 2021 commencing in-memory singleton removal
  58. Wed Nov 17 02:01:03 2021 begin with 97856869 relations and 93077853 unique ideals
  59. Wed Nov 17 02:03:33 2021 reduce to 96941496 relations and 82466127 ideals in 8 passes
  60. Wed Nov 17 02:03:33 2021 max relations containing the same ideal: 192
  61. Wed Nov 17 02:04:54 2021 removing 8879319 relations and 6879319 ideals in 2000000 cliques
  62. Wed Nov 17 02:04:58 2021 commencing in-memory singleton removal
  63. Wed Nov 17 02:05:09 2021 begin with 88062177 relations and 82466127 unique ideals
  64. Wed Nov 17 02:07:24 2021 reduce to 87443705 relations and 74955799 ideals in 8 passes
  65. Wed Nov 17 02:07:24 2021 max relations containing the same ideal: 183
  66. Wed Nov 17 02:08:36 2021 removing 8041256 relations and 6041256 ideals in 2000000 cliques
  67. Wed Nov 17 02:08:40 2021 commencing in-memory singleton removal
  68. Wed Nov 17 02:08:49 2021 begin with 79402449 relations and 74955799 unique ideals
  69. Wed Nov 17 02:10:50 2021 reduce to 78841295 relations and 68341593 ideals in 8 passes
  70. Wed Nov 17 02:10:50 2021 max relations containing the same ideal: 169
  71. Wed Nov 17 02:11:57 2021 removing 7627455 relations and 5627455 ideals in 2000000 cliques
  72. Wed Nov 17 02:12:00 2021 commencing in-memory singleton removal
  73. Wed Nov 17 02:12:09 2021 begin with 71213840 relations and 68341593 unique ideals
  74. Wed Nov 17 02:13:43 2021 reduce to 70665005 relations and 62153003 ideals in 7 passes
  75. Wed Nov 17 02:13:43 2021 max relations containing the same ideal: 159
  76. Wed Nov 17 02:14:43 2021 removing 7385097 relations and 5385097 ideals in 2000000 cliques
  77. Wed Nov 17 02:14:46 2021 commencing in-memory singleton removal
  78. Wed Nov 17 02:14:53 2021 begin with 63279908 relations and 62153003 unique ideals
  79. Wed Nov 17 02:16:27 2021 reduce to 62717078 relations and 56191250 ideals in 8 passes
  80. Wed Nov 17 02:16:27 2021 max relations containing the same ideal: 146
  81. Wed Nov 17 02:17:21 2021 removing 7239002 relations and 5239002 ideals in 2000000 cliques
  82. Wed Nov 17 02:17:24 2021 commencing in-memory singleton removal
  83. Wed Nov 17 02:17:30 2021 begin with 55478076 relations and 56191250 unique ideals
  84. Wed Nov 17 02:18:42 2021 reduce to 54881604 relations and 50339682 ideals in 7 passes
  85. Wed Nov 17 02:18:42 2021 max relations containing the same ideal: 131
  86. Wed Nov 17 02:19:29 2021 removing 7143822 relations and 5143822 ideals in 2000000 cliques
  87. Wed Nov 17 02:19:32 2021 commencing in-memory singleton removal
  88. Wed Nov 17 02:19:38 2021 begin with 47737782 relations and 50339682 unique ideals
  89. Wed Nov 17 02:20:47 2021 reduce to 47081974 relations and 44519790 ideals in 8 passes
  90. Wed Nov 17 02:20:47 2021 max relations containing the same ideal: 121
  91. Wed Nov 17 02:21:28 2021 removing 6757645 relations and 4875676 ideals in 1881969 cliques
  92. Wed Nov 17 02:21:30 2021 commencing in-memory singleton removal
  93. Wed Nov 17 02:21:35 2021 begin with 40324329 relations and 44519790 unique ideals
  94. Wed Nov 17 02:22:40 2021 reduce to 39648631 relations and 38945525 ideals in 9 passes
  95. Wed Nov 17 02:22:40 2021 max relations containing the same ideal: 106
  96. Wed Nov 17 02:23:14 2021 removing 173238 relations and 150347 ideals in 22891 cliques
  97. Wed Nov 17 02:23:16 2021 commencing in-memory singleton removal
  98. Wed Nov 17 02:23:20 2021 begin with 39475393 relations and 38945525 unique ideals
  99. Wed Nov 17 02:23:56 2021 reduce to 39474914 relations and 38794699 ideals in 5 passes
  100. Wed Nov 17 02:23:56 2021 max relations containing the same ideal: 106
  101. Wed Nov 17 02:24:09 2021 relations with 0 large ideals: 22392
  102. Wed Nov 17 02:24:09 2021 relations with 1 large ideals: 4386
  103. Wed Nov 17 02:24:09 2021 relations with 2 large ideals: 54925
  104. Wed Nov 17 02:24:09 2021 relations with 3 large ideals: 447877
  105. Wed Nov 17 02:24:09 2021 relations with 4 large ideals: 2015793
  106. Wed Nov 17 02:24:09 2021 relations with 5 large ideals: 5464384
  107. Wed Nov 17 02:24:09 2021 relations with 6 large ideals: 9342177
  108. Wed Nov 17 02:24:09 2021 relations with 7+ large ideals: 22122980
  109. Wed Nov 17 02:24:09 2021 commencing 2-way merge
  110. Wed Nov 17 02:24:55 2021 reduce to 25535345 relation sets and 24855130 unique ideals
  111. Wed Nov 17 02:24:55 2021 commencing full merge
  112. Wed Nov 17 02:42:41 2021 memory use: 3508.8 MB
  113. Wed Nov 17 02:42:44 2021 found 11734904 cycles, need 11725330
  114. Wed Nov 17 02:42:48 2021 weight of 11725330 cycles is about 1407470297 (120.04/cycle)
  115. Wed Nov 17 02:42:48 2021 distribution of cycle lengths:
  116. Wed Nov 17 02:42:48 2021 1 relations: 563640
  117. Wed Nov 17 02:42:48 2021 2 relations: 769650
  118. Wed Nov 17 02:42:48 2021 3 relations: 878368
  119. Wed Nov 17 02:42:48 2021 4 relations: 885897
  120. Wed Nov 17 02:42:48 2021 5 relations: 895072
  121. Wed Nov 17 02:42:48 2021 6 relations: 870650
  122. Wed Nov 17 02:42:48 2021 7 relations: 844441
  123. Wed Nov 17 02:42:48 2021 8 relations: 796384
  124. Wed Nov 17 02:42:48 2021 9 relations: 742675
  125. Wed Nov 17 02:42:48 2021 10+ relations: 4478553
  126. Wed Nov 17 02:42:48 2021 heaviest cycle: 28 relations
  127. Wed Nov 17 02:42:51 2021 commencing cycle optimization
  128. Wed Nov 17 02:43:19 2021 start with 101688385 relations
  129. Wed Nov 17 02:49:01 2021 pruned 4624030 relations
  130. Wed Nov 17 02:49:01 2021 memory use: 2688.7 MB
  131. Wed Nov 17 02:49:01 2021 distribution of cycle lengths:
  132. Wed Nov 17 02:49:01 2021 1 relations: 563640
  133. Wed Nov 17 02:49:01 2021 2 relations: 788233
  134. Wed Nov 17 02:49:01 2021 3 relations: 914894
  135. Wed Nov 17 02:49:01 2021 4 relations: 921998
  136. Wed Nov 17 02:49:01 2021 5 relations: 939014
  137. Wed Nov 17 02:49:01 2021 6 relations: 910764
  138. Wed Nov 17 02:49:01 2021 7 relations: 886687
  139. Wed Nov 17 02:49:01 2021 8 relations: 831758
  140. Wed Nov 17 02:49:01 2021 9 relations: 773691
  141. Wed Nov 17 02:49:01 2021 10+ relations: 4194651
  142. Wed Nov 17 02:49:01 2021 heaviest cycle: 28 relations
  143. Wed Nov 17 02:49:30 2021 RelProcTime: 8088
  144. Wed Nov 17 02:49:30 2021 elapsed time 02:14:49
  145. Wed Nov 17 03:28:49 2021
  146. Wed Nov 17 03:28:49 2021
  147. Wed Nov 17 03:28:49 2021 Msieve v. 1.54 (SVN 1030)
  148. Wed Nov 17 03:28:49 2021 random seeds: 982e28da 6f0b95a7
  149. Wed Nov 17 03:28:49 2021 factoring 27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507 (200 digits)
  150. Wed Nov 17 03:28:50 2021 no P-1/P+1/ECM available, skipping
  151. Wed Nov 17 03:28:50 2021 commencing number field sieve (200-digit input)
  152. Wed Nov 17 03:28:50 2021 R0: 809727868221258562180306673938892827902099
  153. Wed Nov 17 03:28:50 2021 R1: 1
  154. Wed Nov 17 03:28:50 2021 A0: 1
  155. Wed Nov 17 03:28:50 2021 A1: 0
  156. Wed Nov 17 03:28:50 2021 A2: 0
  157. Wed Nov 17 03:28:50 2021 A3: 0
  158. Wed Nov 17 03:28:50 2021 A4: 0
  159. Wed Nov 17 03:28:50 2021 A5: 0
  160. Wed Nov 17 03:28:50 2021 A6: 99
  161. Wed Nov 17 03:28:50 2021 skew 1.00, size 1.333e-12, alpha 1.350, combined = 1.453e-13 rroots = 0
  162. Wed Nov 17 03:28:50 2021
  163. Wed Nov 17 03:28:50 2021 commencing linear algebra
  164. Wed Nov 17 03:28:51 2021 read 11725330 cycles
  165. Wed Nov 17 03:29:09 2021 cycles contain 39077317 unique relations
  166. Wed Nov 17 03:31:57 2021 read 39077317 relations
  167. Wed Nov 17 03:33:31 2021 using 20 quadratic characters above 4294917295
  168. Wed Nov 17 03:35:52 2021 building initial matrix
  169. Wed Nov 17 03:43:08 2021 memory use: 4981.2 MB
  170. Wed Nov 17 03:43:13 2021 read 11725330 cycles
  171. Wed Nov 17 03:43:14 2021 matrix is 11725152 x 11725330 (5461.9 MB) with weight 1555711872 (132.68/col)
  172. Wed Nov 17 03:43:14 2021 sparse part has weight 1314545743 (112.11/col)
  173. Wed Nov 17 03:45:11 2021 filtering completed in 2 passes
  174. Wed Nov 17 03:45:13 2021 matrix is 11725074 x 11725252 (5461.9 MB) with weight 1555709694 (132.68/col)
  175. Wed Nov 17 03:45:13 2021 sparse part has weight 1314545201 (112.11/col)
  176. Wed Nov 17 03:45:55 2021 matrix starts at (0, 0)
  177. Wed Nov 17 03:45:56 2021 matrix is 11725074 x 11725252 (5461.9 MB) with weight 1555709694 (132.68/col)
  178. Wed Nov 17 03:45:56 2021 sparse part has weight 1314545201 (112.11/col)
  179. Wed Nov 17 03:45:56 2021 saving the first 48 matrix rows for later
  180. Wed Nov 17 03:45:57 2021 matrix includes 64 packed rows
  181. Wed Nov 17 03:45:59 2021 matrix is 11725026 x 11725252 (5271.4 MB) with weight 1345829578 (114.78/col)
  182. Wed Nov 17 03:45:59 2021 sparse part has weight 1264619780 (107.85/col)
  183. Wed Nov 17 03:45:59 2021 using block size 8192 and superblock size 1572864 for processor cache size 16384 kB
  184. Wed Nov 17 03:46:37 2021 commencing Lanczos iteration (12 threads)
  185. Wed Nov 17 03:46:37 2021 memory use: 5058.5 MB
  186. Wed Nov 17 03:47:26 2021 linear algebra at 0.0%, ETA 100h53m
  187. Wed Nov 17 03:47:41 2021 checkpointing every 120000 dimensions
  188. Sun Nov 21 07:52:24 2021 lanczos halted after 185421 iterations (dim = 11725026)
  189. Sun Nov 21 07:52:34 2021 recovered 41 nontrivial dependencies
  190. Sun Nov 21 07:52:34 2021 BLanczosTime: 361424
  191. Sun Nov 21 07:52:34 2021 elapsed time 100:23:45
  192. Sun Nov 21 07:52:34 2021
  193. Sun Nov 21 07:52:34 2021
  194. Sun Nov 21 07:52:34 2021 Msieve v. 1.54 (SVN 1030)
  195. Sun Nov 21 07:52:34 2021 random seeds: d91aeada 423f20bb
  196. Sun Nov 21 07:52:34 2021 factoring 27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507 (200 digits)
  197. Sun Nov 21 07:52:35 2021 no P-1/P+1/ECM available, skipping
  198. Sun Nov 21 07:52:35 2021 commencing number field sieve (200-digit input)
  199. Sun Nov 21 07:52:35 2021 R0: 809727868221258562180306673938892827902099
  200. Sun Nov 21 07:52:35 2021 R1: 1
  201. Sun Nov 21 07:52:35 2021 A0: 1
  202. Sun Nov 21 07:52:35 2021 A1: 0
  203. Sun Nov 21 07:52:35 2021 A2: 0
  204. Sun Nov 21 07:52:35 2021 A3: 0
  205. Sun Nov 21 07:52:35 2021 A4: 0
  206. Sun Nov 21 07:52:35 2021 A5: 0
  207. Sun Nov 21 07:52:35 2021 A6: 99
  208. Sun Nov 21 07:52:35 2021 skew 1.00, size 1.333e-12, alpha 1.350, combined = 1.453e-13 rroots = 0
  209. Sun Nov 21 07:52:35 2021
  210. Sun Nov 21 07:52:35 2021 commencing square root phase
  211. Sun Nov 21 07:52:35 2021 reading relations for dependency 1
  212. Sun Nov 21 07:52:36 2021 read 5861613 cycles
  213. Sun Nov 21 07:52:46 2021 cycles contain 19540264 unique relations
  214. Sun Nov 21 07:54:15 2021 read 19540264 relations
  215. Sun Nov 21 07:55:30 2021 multiplying 19540264 relations
  216. Sun Nov 21 08:09:03 2021 multiply complete, coefficients have about 625.68 million bits
  217. Sun Nov 21 08:09:06 2021 initial square root is modulo 410629
  218. Sun Nov 21 08:23:59 2021 sqrtTime: 1884
  219. Sun Nov 21 08:23:59 2021 p73 factor: 1041056679799963288784139305597824331347092504278281625736107417450816963
  220. Sun Nov 21 08:23:59 2021 p128 factor: 26215488705201295377226607743467829754831852449788547234352514323930130187868704644280927185378376106916578509913730706755234689
  221. Sun Nov 21 08:23:59 2021 elapsed time 00:31:25
  222. *********** Processing f99_127p1.log *************
  223. http://factordb.com/report.php?report=27291809630770299153609870548879850887775823405956097785218794517532994580612959521667436406845548477072574080657125001918482258708028161258802593909600842120949737003116864084843352367826799847229507%3D1041056679799963288784139305597824331347092504278281625736107417450816963*26215488705201295377226607743467829754831852449788547234352514323930130187868704644280927185378376106916578509913730706755234689
  224. 1 new factor added to factordb
  225. 1 factor already known by factordb
  226. 1 Thank you for your contribution
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