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Mar 24th, 2017
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  1. Tue Mar 21 10:11:19 2017 Msieve v. 1.52 (SVN exported)
  2. Tue Mar 21 10:11:19 2017 random seeds: 4d11850c ad0e9fdf
  3. Tue Mar 21 10:11:19 2017 factoring 989999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (231 digits)
  4. Tue Mar 21 10:11:22 2017 searching for 15-digit factors
  5. Tue Mar 21 10:11:25 2017 commencing number field sieve (231-digit input)
  6. Tue Mar 21 10:11:29 2017 R0: 100000000000000000000000000000000000000
  7. Tue Mar 21 10:11:29 2017 R1: -1
  8. Tue Mar 21 10:11:29 2017 A0: -1
  9. Tue Mar 21 10:11:29 2017 A1: 0
  10. Tue Mar 21 10:11:29 2017 A2: 0
  11. Tue Mar 21 10:11:29 2017 A3: 0
  12. Tue Mar 21 10:11:29 2017 A4: 0
  13. Tue Mar 21 10:11:29 2017 A5: 0
  14. Tue Mar 21 10:11:29 2017 A6: 990
  15. Tue Mar 21 10:11:29 2017 skew 1.00, size 1.386e-11, alpha 1.167, combined = 7.844e-13 rroots = 2
  16. Tue Mar 21 10:11:29 2017
  17. Tue Mar 21 10:11:29 2017 commencing relation filtering
  18. Tue Mar 21 10:11:29 2017 setting target matrix density to 100.0
  19. Tue Mar 21 10:11:29 2017 estimated available RAM is 96649.3 MB
  20. Tue Mar 21 10:11:29 2017 commencing duplicate removal, pass 1
  21. Tue Mar 21 10:36:16 2017 error -9 reading relation 49708512
  22. Tue Mar 21 10:36:35 2017 error -15 reading relation 50472622
  23. Tue Mar 21 10:46:20 2017 error -15 reading relation 72542269
  24. Tue Mar 21 10:47:04 2017 error -15 reading relation 74237492
  25. Tue Mar 21 10:47:16 2017 error -1 reading relation 74712844
  26. Tue Mar 21 10:47:17 2017 error -5 reading relation 74773689
  27. Tue Mar 21 10:48:39 2017 error -15 reading relation 78065015
  28. Tue Mar 21 10:48:53 2017 error -9 reading relation 78675809
  29. Tue Mar 21 10:50:22 2017 error -15 reading relation 82166633
  30. Tue Mar 21 10:50:22 2017 error -15 reading relation 82169377
  31. Tue Mar 21 10:50:22 2017 error -9 reading relation 82175702
  32. Tue Mar 21 10:50:22 2017 error -15 reading relation 82179636
  33. Tue Mar 21 10:51:08 2017 error -15 reading relation 83969793
  34. Tue Mar 21 10:51:36 2017 error -9 reading relation 85062119
  35. Tue Mar 21 10:51:43 2017 error -9 reading relation 85407600
  36. Tue Mar 21 10:53:31 2017 error -15 reading relation 89771500
  37. Tue Mar 21 10:53:38 2017 error -15 reading relation 90094257
  38. Tue Mar 21 10:53:38 2017 error -11 reading relation 90097206
  39. Tue Mar 21 10:53:39 2017 error -15 reading relation 90123671
  40. Tue Mar 21 10:54:37 2017 error -15 reading relation 92741834
  41. Tue Mar 21 10:54:58 2017 error -9 reading relation 93571323
  42. Tue Mar 21 10:55:51 2017 error -15 reading relation 95504073
  43. Tue Mar 21 10:56:19 2017 error -9 reading relation 96540957
  44. Tue Mar 21 10:56:20 2017 error -9 reading relation 96562364
  45. Tue Mar 21 10:56:21 2017 error -1 reading relation 96605986
  46. Tue Mar 21 10:56:22 2017 error -1 reading relation 96629073
  47. Tue Mar 21 10:56:22 2017 error -9 reading relation 96647496
  48. Tue Mar 21 10:56:40 2017 error -9 reading relation 97365763
  49. Tue Mar 21 10:56:43 2017 error -15 reading relation 97466012
  50. Tue Mar 21 10:56:52 2017 error -15 reading relation 97858984
  51. Tue Mar 21 10:56:52 2017 error -9 reading relation 97859821
  52. Tue Mar 21 10:56:53 2017 error -15 reading relation 97871634
  53. Tue Mar 21 10:57:08 2017 error -9 reading relation 98487136
  54. Tue Mar 21 10:57:10 2017 error -9 reading relation 98563012
  55. Tue Mar 21 10:57:29 2017 error -15 reading relation 99454632
  56. Tue Mar 21 10:57:30 2017 error -15 reading relation 99528819
  57. Tue Mar 21 10:57:30 2017 error -11 reading relation 99531979
  58. Tue Mar 21 10:57:34 2017 error -15 reading relation 99731412
  59. Tue Mar 21 10:57:40 2017 skipped 58 relations with b > 2^32
  60. Tue Mar 21 10:57:40 2017 found 17598095 hash collisions in 100058998 relations
  61. Tue Mar 21 10:58:16 2017 added 1218829 free relations
  62. Tue Mar 21 10:58:16 2017 commencing duplicate removal, pass 2
  63. Tue Mar 21 11:23:40 2017 found 16829636 duplicates and 84448191 unique relations
  64. Tue Mar 21 11:23:40 2017 memory use: 660.8 MB
  65. Tue Mar 21 11:23:40 2017 reading ideals above 720000
  66. Tue Mar 21 11:23:41 2017 commencing singleton removal, initial pass
  67. Tue Mar 21 12:12:22 2017 memory use: 2756.0 MB
  68. Tue Mar 21 12:12:22 2017 reading all ideals from disk
  69. Tue Mar 21 12:12:28 2017 memory use: 3218.0 MB
  70. Tue Mar 21 12:12:44 2017 keeping 85238740 ideals with weight <= 200, target excess is 429425
  71. Tue Mar 21 12:13:03 2017 commencing in-memory singleton removal
  72. Tue Mar 21 12:13:18 2017 begin with 84448191 relations and 85238740 unique ideals
  73. Tue Mar 21 12:16:15 2017 reduce to 46006378 relations and 42123745 ideals in 16 passes
  74. Tue Mar 21 12:16:15 2017 max relations containing the same ideal: 137
  75. Tue Mar 21 12:16:52 2017 removing 3293594 relations and 2893594 ideals in 400000 cliques
  76. Tue Mar 21 12:16:54 2017 commencing in-memory singleton removal
  77. Tue Mar 21 12:17:00 2017 begin with 42712784 relations and 42123745 unique ideals
  78. Tue Mar 21 12:17:57 2017 reduce to 42515911 relations and 39030832 ideals in 9 passes
  79. Tue Mar 21 12:17:57 2017 max relations containing the same ideal: 130
  80. Tue Mar 21 12:18:31 2017 removing 2468843 relations and 2068843 ideals in 400000 cliques
  81. Tue Mar 21 12:18:32 2017 commencing in-memory singleton removal
  82. Tue Mar 21 12:18:38 2017 begin with 40047068 relations and 39030832 unique ideals
  83. Tue Mar 21 12:19:24 2017 reduce to 39926596 relations and 36840289 ideals in 8 passes
  84. Tue Mar 21 12:19:24 2017 max relations containing the same ideal: 126
  85. Tue Mar 21 12:19:55 2017 removing 2207896 relations and 1807896 ideals in 400000 cliques
  86. Tue Mar 21 12:19:57 2017 commencing in-memory singleton removal
  87. Tue Mar 21 12:20:02 2017 begin with 37718700 relations and 36840289 unique ideals
  88. Tue Mar 21 12:20:46 2017 reduce to 37616841 relations and 34929488 ideals in 8 passes
  89. Tue Mar 21 12:20:46 2017 max relations containing the same ideal: 121
  90. Tue Mar 21 12:21:15 2017 removing 2066883 relations and 1666883 ideals in 400000 cliques
  91. Tue Mar 21 12:21:16 2017 commencing in-memory singleton removal
  92. Tue Mar 21 12:21:21 2017 begin with 35549958 relations and 34929488 unique ideals
  93. Tue Mar 21 12:22:08 2017 reduce to 35457816 relations and 33169551 ideals in 8 passes
  94. Tue Mar 21 12:22:08 2017 max relations containing the same ideal: 116
  95. Tue Mar 21 12:22:37 2017 removing 1975760 relations and 1575760 ideals in 400000 cliques
  96. Tue Mar 21 12:22:38 2017 commencing in-memory singleton removal
  97. Tue Mar 21 12:22:43 2017 begin with 33482056 relations and 33169551 unique ideals
  98. Tue Mar 21 12:23:17 2017 reduce to 33394171 relations and 31505022 ideals in 7 passes
  99. Tue Mar 21 12:23:17 2017 max relations containing the same ideal: 114
  100. Tue Mar 21 12:23:42 2017 removing 1911055 relations and 1511055 ideals in 400000 cliques
  101. Tue Mar 21 12:23:43 2017 commencing in-memory singleton removal
  102. Tue Mar 21 12:23:48 2017 begin with 31483116 relations and 31505022 unique ideals
  103. Tue Mar 21 12:24:22 2017 reduce to 31396856 relations and 29906813 ideals in 8 passes
  104. Tue Mar 21 12:24:22 2017 max relations containing the same ideal: 107
  105. Tue Mar 21 12:24:46 2017 removing 1862480 relations and 1462480 ideals in 400000 cliques
  106. Tue Mar 21 12:24:47 2017 commencing in-memory singleton removal
  107. Tue Mar 21 12:24:51 2017 begin with 29534376 relations and 29906813 unique ideals
  108. Tue Mar 21 12:25:20 2017 reduce to 29447647 relations and 28356629 ideals in 7 passes
  109. Tue Mar 21 12:25:20 2017 max relations containing the same ideal: 105
  110. Tue Mar 21 12:25:43 2017 removing 1826662 relations and 1426662 ideals in 400000 cliques
  111. Tue Mar 21 12:25:44 2017 commencing in-memory singleton removal
  112. Tue Mar 21 12:25:47 2017 begin with 27620985 relations and 28356629 unique ideals
  113. Tue Mar 21 12:26:19 2017 reduce to 27532513 relations and 26840462 ideals in 8 passes
  114. Tue Mar 21 12:26:19 2017 max relations containing the same ideal: 99
  115. Tue Mar 21 12:26:40 2017 removing 990232 relations and 796314 ideals in 193918 cliques
  116. Tue Mar 21 12:26:41 2017 commencing in-memory singleton removal
  117. Tue Mar 21 12:26:44 2017 begin with 26542281 relations and 26840462 unique ideals
  118. Tue Mar 21 12:27:15 2017 reduce to 26516552 relations and 26018232 ideals in 7 passes
  119. Tue Mar 21 12:27:15 2017 max relations containing the same ideal: 98
  120. Tue Mar 21 12:27:42 2017 relations with 0 large ideals: 16114
  121. Tue Mar 21 12:27:42 2017 relations with 1 large ideals: 5306
  122. Tue Mar 21 12:27:42 2017 relations with 2 large ideals: 60690
  123. Tue Mar 21 12:27:42 2017 relations with 3 large ideals: 447992
  124. Tue Mar 21 12:27:42 2017 relations with 4 large ideals: 1828413
  125. Tue Mar 21 12:27:42 2017 relations with 5 large ideals: 4475780
  126. Tue Mar 21 12:27:42 2017 relations with 6 large ideals: 6849061
  127. Tue Mar 21 12:27:42 2017 relations with 7+ large ideals: 12833196
  128. Tue Mar 21 12:27:42 2017 commencing 2-way merge
  129. Tue Mar 21 12:28:11 2017 reduce to 17119136 relation sets and 16620816 unique ideals
  130. Tue Mar 21 12:28:11 2017 commencing full merge
  131. Tue Mar 21 12:40:16 2017 memory use: 2223.5 MB
  132. Tue Mar 21 12:40:19 2017 found 8104945 cycles, need 8061016
  133. Tue Mar 21 12:40:23 2017 weight of 8061016 cycles is about 806686986 (100.07/cycle)
  134. Tue Mar 21 12:40:23 2017 distribution of cycle lengths:
  135. Tue Mar 21 12:40:23 2017 1 relations: 577884
  136. Tue Mar 21 12:40:23 2017 2 relations: 696706
  137. Tue Mar 21 12:40:23 2017 3 relations: 728164
  138. Tue Mar 21 12:40:23 2017 4 relations: 691713
  139. Tue Mar 21 12:40:23 2017 5 relations: 653496
  140. Tue Mar 21 12:40:23 2017 6 relations: 608083
  141. Tue Mar 21 12:40:23 2017 7 relations: 557753
  142. Tue Mar 21 12:40:23 2017 8 relations: 512574
  143. Tue Mar 21 12:40:23 2017 9 relations: 464351
  144. Tue Mar 21 12:40:23 2017 10+ relations: 2570292
  145. Tue Mar 21 12:40:23 2017 heaviest cycle: 28 relations
  146. Tue Mar 21 12:40:27 2017 commencing cycle optimization
  147. Tue Mar 21 12:40:50 2017 start with 61937457 relations
  148. Tue Mar 21 12:44:34 2017 pruned 2312544 relations
  149. Tue Mar 21 12:44:34 2017 memory use: 1736.6 MB
  150. Tue Mar 21 12:44:34 2017 distribution of cycle lengths:
  151. Tue Mar 21 12:44:34 2017 1 relations: 577884
  152. Tue Mar 21 12:44:34 2017 2 relations: 712768
  153. Tue Mar 21 12:44:34 2017 3 relations: 757333
  154. Tue Mar 21 12:44:34 2017 4 relations: 715809
  155. Tue Mar 21 12:44:34 2017 5 relations: 679406
  156. Tue Mar 21 12:44:34 2017 6 relations: 628102
  157. Tue Mar 21 12:44:34 2017 7 relations: 576716
  158. Tue Mar 21 12:44:34 2017 8 relations: 525527
  159. Tue Mar 21 12:44:34 2017 9 relations: 475999
  160. Tue Mar 21 12:44:34 2017 10+ relations: 2411472
  161. Tue Mar 21 12:44:34 2017 heaviest cycle: 28 relations
  162. Tue Mar 21 12:44:56 2017 RelProcTime: 9207
  163. Tue Mar 21 12:44:56 2017 elapsed time 02:33:37
  164. Tue Mar 21 12:55:18 2017
  165. Tue Mar 21 12:55:18 2017
  166. Tue Mar 21 12:55:18 2017 Msieve v. 1.52 (SVN exported)
  167. Tue Mar 21 12:55:18 2017 random seeds: 381e4e52 a32aee28
  168. Tue Mar 21 12:55:18 2017 factoring 989999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999999 (231 digits)
  169. Tue Mar 21 12:55:21 2017 searching for 15-digit factors
  170. Tue Mar 21 12:55:24 2017 commencing number field sieve (231-digit input)
  171. Tue Mar 21 12:55:24 2017 R0: 100000000000000000000000000000000000000
  172. Tue Mar 21 12:55:24 2017 R1: -1
  173. Tue Mar 21 12:55:24 2017 A0: -1
  174. Tue Mar 21 12:55:24 2017 A1: 0
  175. Tue Mar 21 12:55:24 2017 A2: 0
  176. Tue Mar 21 12:55:24 2017 A3: 0
  177. Tue Mar 21 12:55:24 2017 A4: 0
  178. Tue Mar 21 12:55:24 2017 A5: 0
  179. Tue Mar 21 12:55:24 2017 A6: 990
  180. Tue Mar 21 12:55:24 2017 skew 1.00, size 1.386e-11, alpha 1.167, combined = 7.844e-13 rroots = 2
  181. Tue Mar 21 12:55:24 2017
  182. Tue Mar 21 12:55:24 2017 commencing linear algebra
  183. Tue Mar 21 12:55:25 2017 read 8061016 cycles
  184. Tue Mar 21 12:55:49 2017 cycles contain 26225931 unique relations
  185. Tue Mar 21 13:15:56 2017 read 26225931 relations
  186. Tue Mar 21 13:17:15 2017 using 20 quadratic characters above 1073740784
  187. Tue Mar 21 13:20:26 2017 building initial matrix
  188. Tue Mar 21 13:28:17 2017 memory use: 3253.0 MB
  189. Tue Mar 21 13:28:24 2017 read 8061016 cycles
  190. Tue Mar 21 13:28:27 2017 matrix is 8060838 x 8061016 (3247.5 MB) with weight 940525124 (116.68/col)
  191. Tue Mar 21 13:28:27 2017 sparse part has weight 762643287 (94.61/col)
  192. Tue Mar 21 13:31:16 2017 filtering completed in 2 passes
  193. Tue Mar 21 13:31:20 2017 matrix is 8060238 x 8060416 (3247.5 MB) with weight 940505573 (116.68/col)
  194. Tue Mar 21 13:31:20 2017 sparse part has weight 762637450 (94.62/col)
  195. Tue Mar 21 13:32:36 2017 matrix starts at (0, 0)
  196. Tue Mar 21 13:32:38 2017 matrix is 8060238 x 8060416 (3247.5 MB) with weight 940505573 (116.68/col)
  197. Tue Mar 21 13:32:38 2017 sparse part has weight 762637450 (94.62/col)
  198. Tue Mar 21 13:32:38 2017 saving the first 48 matrix rows for later
  199. Tue Mar 21 13:32:40 2017 matrix includes 64 packed rows
  200. Tue Mar 21 13:32:42 2017 matrix is 8060190 x 8060416 (3117.5 MB) with weight 795143552 (98.65/col)
  201. Tue Mar 21 13:32:42 2017 sparse part has weight 736639952 (91.39/col)
  202. Tue Mar 21 13:32:43 2017 using block size 8192 and superblock size 1474560 for processor cache size 15360 kB
  203. Tue Mar 21 13:33:39 2017 commencing Lanczos iteration (12 threads)
  204. Tue Mar 21 13:33:39 2017 memory use: 2630.1 MB
  205. Tue Mar 21 13:34:22 2017 linear algebra at 0.0%, ETA 61h51m
  206. Tue Mar 21 13:34:37 2017 checkpointing every 130000 dimensions
  207. Thu Mar 23 21:46:21 2017 lanczos halted after 127463 iterations (dim = 8060188)
  208. Thu Mar 23 21:46:33 2017 recovered 35 nontrivial dependencies
  209. Thu Mar 23 21:46:33 2017 BLanczosTime: 204669
  210. Thu Mar 23 21:46:33 2017
  211. Thu Mar 23 21:46:33 2017 commencing square root phase
  212. Thu Mar 23 21:46:33 2017 reading relations for dependency 1
  213. Thu Mar 23 21:46:36 2017 read 4026862 cycles
  214. Thu Mar 23 21:46:47 2017 cycles contain 13105958 unique relations
  215. Thu Mar 23 22:05:10 2017 read 13105958 relations
  216. Thu Mar 23 22:06:54 2017 multiplying 13105958 relations
  217. Thu Mar 23 22:27:14 2017 multiply complete, coefficients have about 441.43 million bits
  218. Thu Mar 23 22:27:17 2017 initial square root is modulo 83301481
  219. Thu Mar 23 22:54:15 2017 sqrtTime: 4062
  220. Thu Mar 23 22:54:15 2017 prp68 factor: 50548077638013050674449920334613826410478457550085766773313566314799
  221. Thu Mar 23 22:54:15 2017 prp164 factor: 19585314541328915857037914790116248844145263732064431396496806380255205386818063123590196977425504913668736401670190676558449880863734626182440940047477465657354801
  222. Thu Mar 23 22:54:15 2017 elapsed time 57:58:57
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