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mersenneforum
Mar 28th, 2016
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  1. Fri Mar 25 20:13:06 2016
  2. Fri Mar 25 20:13:06 2016
  3. Fri Mar 25 20:13:06 2016 Msieve v. 1.52 (SVN unknown)
  4. Fri Mar 25 20:13:06 2016 random seeds: e5f15e90 0b5c92e6
  5. Fri Mar 25 20:13:06 2016 factoring 888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888888887 (225 digits)
  6. Fri Mar 25 20:13:07 2016 no P-1/P+1/ECM available, skipping
  7. Fri Mar 25 20:13:07 2016 commencing number field sieve (225-digit input)
  8. Fri Mar 25 20:13:07 2016 R0: -20000000000000000000000000000000000000
  9. Fri Mar 25 20:13:07 2016 R1: 1
  10. Fri Mar 25 20:13:07 2016 A0: -17
  11. Fri Mar 25 20:13:07 2016 A1: 0
  12. Fri Mar 25 20:13:07 2016 A2: 0
  13. Fri Mar 25 20:13:07 2016 A3: 0
  14. Fri Mar 25 20:13:07 2016 A4: 0
  15. Fri Mar 25 20:13:07 2016 A5: 0
  16. Fri Mar 25 20:13:07 2016 A6: 125
  17. Fri Mar 25 20:13:07 2016 skew 1.00, size 2.522e-011, alpha 0.706, combined = 1.262e-012 rroots = 2
  18. Fri Mar 25 20:13:07 2016
  19. Fri Mar 25 20:13:07 2016 commencing relation filtering
  20. Fri Mar 25 20:13:07 2016 setting target matrix density to 118.0
  21. Fri Mar 25 20:13:07 2016 estimated available RAM is 12241.4 MB
  22. Fri Mar 25 20:13:07 2016 commencing duplicate removal, pass 1
  23. Fri Mar 25 20:15:26 2016 error -15 reading relation 14470962
  24. Fri Mar 25 20:15:26 2016 error -1 reading relation 14482169
  25. Fri Mar 25 20:17:57 2016 error -9 reading relation 30634872
  26. Fri Mar 25 20:17:58 2016 error -15 reading relation 30713214
  27. Fri Mar 25 20:18:14 2016 error -15 reading relation 32326159
  28. Fri Mar 25 20:20:32 2016 error -9 reading relation 47115958
  29. Fri Mar 25 20:22:36 2016 error -9 reading relation 60273915
  30. Fri Mar 25 20:22:49 2016 error -15 reading relation 61699986
  31. Fri Mar 25 20:23:09 2016 error -9 reading relation 63881782
  32. Fri Mar 25 20:23:22 2016 error -15 reading relation 65265911
  33. Fri Mar 25 20:23:31 2016 error -15 reading relation 66204872
  34. Fri Mar 25 20:24:32 2016 error -15 reading relation 72780755
  35. Fri Mar 25 20:24:32 2016 error -15 reading relation 72855442
  36. Fri Mar 25 20:24:35 2016 error -15 reading relation 73108433
  37. Fri Mar 25 20:24:36 2016 error -15 reading relation 73230645
  38. Fri Mar 25 20:24:36 2016 error -15 reading relation 73296101
  39. Fri Mar 25 20:24:40 2016 error -1 reading relation 73659945
  40. Fri Mar 25 20:24:40 2016 error -15 reading relation 73664782
  41. Fri Mar 25 20:24:40 2016 error -9 reading relation 73724069
  42. Fri Mar 25 20:24:40 2016 error -5 reading relation 73729315
  43. Fri Mar 25 20:24:42 2016 error -15 reading relation 73874628
  44. Fri Mar 25 20:24:42 2016 error -9 reading relation 73880127
  45. Fri Mar 25 20:24:42 2016 error -9 reading relation 73938011
  46. Fri Mar 25 20:24:42 2016 error -9 reading relation 73942659
  47. Fri Mar 25 20:24:46 2016 error -9 reading relation 74278930
  48. Fri Mar 25 20:24:46 2016 error -15 reading relation 74283983
  49. Fri Mar 25 20:25:56 2016 error -9 reading relation 81756220
  50. Fri Mar 25 20:25:56 2016 error -9 reading relation 81845579
  51. Fri Mar 25 20:26:15 2016 error -15 reading relation 83815803
  52. Fri Mar 25 20:26:15 2016 error -1 reading relation 83823525
  53. Fri Mar 25 20:26:15 2016 error -9 reading relation 83831034
  54. Fri Mar 25 20:26:15 2016 error -9 reading relation 83872636
  55. Fri Mar 25 20:26:27 2016 error -15 reading relation 85167494
  56. Fri Mar 25 20:26:27 2016 error -9 reading relation 85194241
  57. Fri Mar 25 20:26:42 2016 error -9 reading relation 86911216
  58. Fri Mar 25 20:26:50 2016 error -15 reading relation 87737411
  59. Fri Mar 25 20:29:37 2016 error -15 reading relation 105619298
  60. Fri Mar 25 20:30:26 2016 error -9 reading relation 110846345
  61. Fri Mar 25 20:30:26 2016 error -15 reading relation 110847200
  62. Fri Mar 25 20:30:26 2016 error -9 reading relation 110848593
  63. Fri Mar 25 20:30:26 2016 error -9 reading relation 110885091
  64. Fri Mar 25 20:30:26 2016 error -15 reading relation 110885908
  65. Fri Mar 25 20:30:26 2016 error -9 reading relation 110887307
  66. Fri Mar 25 20:30:26 2016 error -9 reading relation 110917348
  67. Fri Mar 25 20:30:32 2016 error -15 reading relation 111486927
  68. Fri Mar 25 20:30:32 2016 error -15 reading relation 111505831
  69. Fri Mar 25 20:30:32 2016 skipped 11 relations with b > 2^32
  70. Fri Mar 25 20:30:32 2016 found 18647697 hash collisions in 111590931 relations
  71. Fri Mar 25 20:31:01 2016 added 1218770 free relations
  72. Fri Mar 25 20:31:01 2016 commencing duplicate removal, pass 2
  73. Fri Mar 25 20:32:54 2016 found 17032486 duplicates and 95777215 unique relations
  74. Fri Mar 25 20:32:54 2016 memory use: 660.8 MB
  75. Fri Mar 25 20:32:54 2016 reading ideals above 77922304
  76. Fri Mar 25 20:32:54 2016 commencing singleton removal, initial pass
  77. Fri Mar 25 20:49:27 2016 memory use: 1506.0 MB
  78. Fri Mar 25 20:49:27 2016 reading all ideals from disk
  79. Fri Mar 25 20:49:31 2016 memory use: 1616.9 MB
  80. Fri Mar 25 20:49:34 2016 commencing in-memory singleton removal
  81. Fri Mar 25 20:49:37 2016 begin with 95777215 relations and 80618714 unique ideals
  82. Fri Mar 25 20:50:10 2016 reduce to 59681959 relations and 40583649 ideals in 14 passes
  83. Fri Mar 25 20:50:10 2016 max relations containing the same ideal: 38
  84. Fri Mar 25 20:50:14 2016 reading ideals above 720000
  85. Fri Mar 25 20:50:15 2016 commencing singleton removal, initial pass
  86. Fri Mar 25 21:02:22 2016 memory use: 1378.0 MB
  87. Fri Mar 25 21:02:22 2016 reading all ideals from disk
  88. Fri Mar 25 21:02:30 2016 memory use: 2235.0 MB
  89. Fri Mar 25 21:02:36 2016 keeping 49386088 ideals with weight <= 200, target excess is 306696
  90. Fri Mar 25 21:02:42 2016 commencing in-memory singleton removal
  91. Fri Mar 25 21:02:47 2016 begin with 59681959 relations and 49386088 unique ideals
  92. Fri Mar 25 21:03:32 2016 reduce to 59677979 relations and 49382107 ideals in 9 passes
  93. Fri Mar 25 21:03:32 2016 max relations containing the same ideal: 200
  94. Fri Mar 25 21:03:57 2016 removing 5556430 relations and 4556430 ideals in 1000000 cliques
  95. Fri Mar 25 21:03:59 2016 commencing in-memory singleton removal
  96. Fri Mar 25 21:04:03 2016 begin with 54121549 relations and 49382107 unique ideals
  97. Fri Mar 25 21:04:44 2016 reduce to 53700574 relations and 44395688 ideals in 9 passes
  98. Fri Mar 25 21:04:44 2016 max relations containing the same ideal: 197
  99. Fri Mar 25 21:05:07 2016 removing 4318083 relations and 3318083 ideals in 1000000 cliques
  100. Fri Mar 25 21:05:08 2016 commencing in-memory singleton removal
  101. Fri Mar 25 21:05:13 2016 begin with 49382491 relations and 44395688 unique ideals
  102. Fri Mar 25 21:05:49 2016 reduce to 49107854 relations and 40797804 ideals in 9 passes
  103. Fri Mar 25 21:05:49 2016 max relations containing the same ideal: 189
  104. Fri Mar 25 21:06:10 2016 removing 3922350 relations and 2922350 ideals in 1000000 cliques
  105. Fri Mar 25 21:06:12 2016 commencing in-memory singleton removal
  106. Fri Mar 25 21:06:15 2016 begin with 45185504 relations and 40797804 unique ideals
  107. Fri Mar 25 21:06:41 2016 reduce to 44943922 relations and 37629235 ideals in 7 passes
  108. Fri Mar 25 21:06:41 2016 max relations containing the same ideal: 175
  109. Fri Mar 25 21:07:01 2016 removing 3716328 relations and 2716328 ideals in 1000000 cliques
  110. Fri Mar 25 21:07:02 2016 commencing in-memory singleton removal
  111. Fri Mar 25 21:07:05 2016 begin with 41227594 relations and 37629235 unique ideals
  112. Fri Mar 25 21:07:28 2016 reduce to 40996282 relations and 34676969 ideals in 7 passes
  113. Fri Mar 25 21:07:28 2016 max relations containing the same ideal: 165
  114. Fri Mar 25 21:07:45 2016 removing 3584397 relations and 2584397 ideals in 1000000 cliques
  115. Fri Mar 25 21:07:46 2016 commencing in-memory singleton removal
  116. Fri Mar 25 21:07:49 2016 begin with 37411885 relations and 34676969 unique ideals
  117. Fri Mar 25 21:08:11 2016 reduce to 37182201 relations and 31857844 ideals in 7 passes
  118. Fri Mar 25 21:08:11 2016 max relations containing the same ideal: 153
  119. Fri Mar 25 21:08:26 2016 removing 3498832 relations and 2498832 ideals in 1000000 cliques
  120. Fri Mar 25 21:08:27 2016 commencing in-memory singleton removal
  121. Fri Mar 25 21:08:30 2016 begin with 33683369 relations and 31857844 unique ideals
  122. Fri Mar 25 21:08:49 2016 reduce to 33449624 relations and 29119807 ideals in 7 passes
  123. Fri Mar 25 21:08:49 2016 max relations containing the same ideal: 144
  124. Fri Mar 25 21:09:04 2016 removing 3439821 relations and 2439821 ideals in 1000000 cliques
  125. Fri Mar 25 21:09:05 2016 commencing in-memory singleton removal
  126. Fri Mar 25 21:09:07 2016 begin with 30009803 relations and 29119807 unique ideals
  127. Fri Mar 25 21:09:23 2016 reduce to 29767794 relations and 26431724 ideals in 7 passes
  128. Fri Mar 25 21:09:23 2016 max relations containing the same ideal: 135
  129. Fri Mar 25 21:09:37 2016 removing 3392713 relations and 2392713 ideals in 1000000 cliques
  130. Fri Mar 25 21:09:37 2016 commencing in-memory singleton removal
  131. Fri Mar 25 21:09:39 2016 begin with 26375081 relations and 26431724 unique ideals
  132. Fri Mar 25 21:09:53 2016 reduce to 26116514 relations and 23773066 ideals in 7 passes
  133. Fri Mar 25 21:09:53 2016 max relations containing the same ideal: 123
  134. Fri Mar 25 21:10:05 2016 removing 3354852 relations and 2354852 ideals in 1000000 cliques
  135. Fri Mar 25 21:10:06 2016 commencing in-memory singleton removal
  136. Fri Mar 25 21:10:07 2016 begin with 22761662 relations and 23773066 unique ideals
  137. Fri Mar 25 21:10:21 2016 reduce to 22478490 relations and 21126074 ideals in 8 passes
  138. Fri Mar 25 21:10:21 2016 max relations containing the same ideal: 113
  139. Fri Mar 25 21:10:31 2016 removing 3319057 relations and 2322409 ideals in 996648 cliques
  140. Fri Mar 25 21:10:32 2016 commencing in-memory singleton removal
  141. Fri Mar 25 21:10:33 2016 begin with 19159433 relations and 21126074 unique ideals
  142. Fri Mar 25 21:10:43 2016 reduce to 18839436 relations and 18471799 ideals in 7 passes
  143. Fri Mar 25 21:10:43 2016 max relations containing the same ideal: 101
  144. Fri Mar 25 21:10:51 2016 removing 81628 relations and 69759 ideals in 11869 cliques
  145. Fri Mar 25 21:10:52 2016 commencing in-memory singleton removal
  146. Fri Mar 25 21:10:53 2016 begin with 18757808 relations and 18471799 unique ideals
  147. Fri Mar 25 21:10:57 2016 reduce to 18757619 relations and 18401851 ideals in 3 passes
  148. Fri Mar 25 21:10:57 2016 max relations containing the same ideal: 100
  149. Fri Mar 25 21:11:01 2016 relations with 0 large ideals: 11318
  150. Fri Mar 25 21:11:01 2016 relations with 1 large ideals: 3404
  151. Fri Mar 25 21:11:01 2016 relations with 2 large ideals: 34762
  152. Fri Mar 25 21:11:01 2016 relations with 3 large ideals: 274607
  153. Fri Mar 25 21:11:01 2016 relations with 4 large ideals: 1178891
  154. Fri Mar 25 21:11:01 2016 relations with 5 large ideals: 3006127
  155. Fri Mar 25 21:11:01 2016 relations with 6 large ideals: 4766496
  156. Fri Mar 25 21:11:01 2016 relations with 7+ large ideals: 9482014
  157. Fri Mar 25 21:11:01 2016 commencing 2-way merge
  158. Fri Mar 25 21:11:12 2016 reduce to 12421211 relation sets and 12065443 unique ideals
  159. Fri Mar 25 21:11:12 2016 commencing full merge
  160. Fri Mar 25 21:16:32 2016 memory use: 1679.9 MB
  161. Fri Mar 25 21:16:33 2016 found 5656159 cycles, need 5653643
  162. Fri Mar 25 21:16:34 2016 weight of 5653643 cycles is about 667242835 (118.02/cycle)
  163. Fri Mar 25 21:16:34 2016 distribution of cycle lengths:
  164. Fri Mar 25 21:16:34 2016 1 relations: 189302
  165. Fri Mar 25 21:16:34 2016 2 relations: 322865
  166. Fri Mar 25 21:16:34 2016 3 relations: 397118
  167. Fri Mar 25 21:16:34 2016 4 relations: 418145
  168. Fri Mar 25 21:16:34 2016 5 relations: 429366
  169. Fri Mar 25 21:16:34 2016 6 relations: 425648
  170. Fri Mar 25 21:16:34 2016 7 relations: 416993
  171. Fri Mar 25 21:16:34 2016 8 relations: 396742
  172. Fri Mar 25 21:16:34 2016 9 relations: 371449
  173. Fri Mar 25 21:16:34 2016 10+ relations: 2286015
  174. Fri Mar 25 21:16:34 2016 heaviest cycle: 28 relations
  175. Fri Mar 25 21:16:35 2016 commencing cycle optimization
  176. Fri Mar 25 21:16:44 2016 start with 51023726 relations
  177. Fri Mar 25 21:19:03 2016 pruned 2454193 relations
  178. Fri Mar 25 21:19:03 2016 memory use: 1310.0 MB
  179. Fri Mar 25 21:19:03 2016 distribution of cycle lengths:
  180. Fri Mar 25 21:19:03 2016 1 relations: 189302
  181. Fri Mar 25 21:19:03 2016 2 relations: 331477
  182. Fri Mar 25 21:19:03 2016 3 relations: 414702
  183. Fri Mar 25 21:19:03 2016 4 relations: 436247
  184. Fri Mar 25 21:19:03 2016 5 relations: 451682
  185. Fri Mar 25 21:19:03 2016 6 relations: 447240
  186. Fri Mar 25 21:19:03 2016 7 relations: 439676
  187. Fri Mar 25 21:19:03 2016 8 relations: 416342
  188. Fri Mar 25 21:19:03 2016 9 relations: 388918
  189. Fri Mar 25 21:19:03 2016 10+ relations: 2138057
  190. Fri Mar 25 21:19:03 2016 heaviest cycle: 28 relations
  191. Fri Mar 25 21:19:11 2016 RelProcTime: 3964
  192. Fri Mar 25 21:19:11 2016
  193. Fri Mar 25 21:19:11 2016 commencing linear algebra
  194. Fri Mar 25 21:19:12 2016 read 5653643 cycles
  195. Fri Mar 25 21:19:23 2016 cycles contain 18568197 unique relations
  196. Fri Mar 25 21:22:53 2016 read 18568197 relations
  197. Fri Mar 25 21:23:22 2016 using 20 quadratic characters above 1073739578
  198. Fri Mar 25 21:24:45 2016 building initial matrix
  199. Fri Mar 25 21:28:45 2016 memory use: 2400.8 MB
  200. Fri Mar 25 21:28:51 2016 read 5653643 cycles
  201. Fri Mar 25 21:28:52 2016 matrix is 5653466 x 5653643 (2580.8 MB) with weight 741053226 (131.08/col)
  202. Fri Mar 25 21:28:52 2016 sparse part has weight 619997010 (109.66/col)
  203. Fri Mar 25 21:30:02 2016 filtering completed in 2 passes
  204. Fri Mar 25 21:30:04 2016 matrix is 5653449 x 5653626 (2580.8 MB) with weight 741052704 (131.08/col)
  205. Fri Mar 25 21:30:04 2016 sparse part has weight 619996866 (109.66/col)
  206. Fri Mar 25 21:30:30 2016 matrix starts at (0, 0)
  207. Fri Mar 25 21:30:32 2016 matrix is 5653449 x 5653626 (2580.8 MB) with weight 741052704 (131.08/col)
  208. Fri Mar 25 21:30:32 2016 sparse part has weight 619996866 (109.66/col)
  209. Fri Mar 25 21:30:32 2016 saving the first 48 matrix rows for later
  210. Fri Mar 25 21:30:34 2016 matrix includes 64 packed rows
  211. Fri Mar 25 21:30:35 2016 matrix is 5653401 x 5653626 (2482.1 MB) with weight 634918590 (112.30/col)
  212. Fri Mar 25 21:30:35 2016 sparse part has weight 594139342 (105.09/col)
  213. Fri Mar 25 21:30:35 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  214. Fri Mar 25 21:31:05 2016 commencing Lanczos iteration (4 threads)
  215. Fri Mar 25 21:31:05 2016 memory use: 2097.2 MB
  216. Fri Mar 25 21:31:32 2016 linear algebra at 0.0%, ETA 25h50m
  217. Fri Mar 25 21:31:41 2016 checkpointing every 220000 dimensions
  218. Sun Mar 27 00:50:03 2016 lanczos halted after 89408 iterations (dim = 5653401)
  219. Sun Mar 27 00:50:12 2016 recovered 35 nontrivial dependencies
  220. Sun Mar 27 00:50:15 2016 BLanczosTime: 99064
  221. Sun Mar 27 00:50:15 2016
  222. Sun Mar 27 00:50:15 2016 commencing square root phase
  223. Sun Mar 27 00:50:15 2016 handling dependencies 1 to 64
  224. Sun Mar 27 00:50:15 2016 reading relations for dependency 1
  225. Sun Mar 27 00:50:16 2016 read 2826340 cycles
  226. Sun Mar 27 00:50:21 2016 cycles contain 9282572 unique relations
  227. Sun Mar 27 00:52:24 2016 read 9282572 relations
  228. Sun Mar 27 00:53:15 2016 multiplying 9282572 relations
  229. Sun Mar 27 01:02:44 2016 multiply complete, coefficients have about 289.02 million bits
  230. Sun Mar 27 01:02:47 2016 initial square root is modulo 153499
  231. Sun Mar 27 01:14:09 2016 GCD is 1, no factor found
  232. Sun Mar 27 01:14:09 2016 reading relations for dependency 2
  233. Sun Mar 27 01:14:11 2016 read 2825603 cycles
  234. Sun Mar 27 01:14:16 2016 cycles contain 9279754 unique relations
  235. Sun Mar 27 01:16:18 2016 read 9279754 relations
  236. Sun Mar 27 01:17:08 2016 multiplying 9279754 relations
  237. Sun Mar 27 01:26:35 2016 multiply complete, coefficients have about 288.94 million bits
  238. Sun Mar 27 01:26:38 2016 initial square root is modulo 152953
  239. Sun Mar 27 01:37:50 2016 sqrtTime: 2855
  240. Sun Mar 27 01:37:50 2016 prp89 factor: 12885184573296242058422944793597586085380960323748957713813136757397827282147984550636983
  241. Sun Mar 27 01:37:50 2016 prp137 factor: 68985343891080676769874038289825978296281213065649419534605018948253721115285817355019069520500716195272122538725728251489807843503317889
  242. Sun Mar 27 01:37:50 2016 elapsed time 29:24:44
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