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3847_61m1

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Dec 29th, 2018
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  1. Sat Dec 29 09:41:00 2018
  2. Sat Dec 29 09:41:00 2018
  3. Sat Dec 29 09:41:00 2018 Msieve v. 1.53 (SVN 988M)
  4. Sat Dec 29 09:41:00 2018 random seeds: a11a1b3e a8192150
  5. Sat Dec 29 09:41:00 2018 factoring 11297187605322209696748962866854919327751100372937045616039330582939964816939916790186420901556333231961616680755345749542990455944887376106054239627475668736033375109084606570892048837714811593767727797298227 (209 digits)
  6. Sat Dec 29 09:41:00 2018 searching for 15-digit factors
  7. Sat Dec 29 09:41:02 2018 commencing number field sieve (209-digit input)
  8. Sat Dec 29 09:41:02 2018 R0: 709940354471183371072203554758776049
  9. Sat Dec 29 09:41:02 2018 R1: -1
  10. Sat Dec 29 09:41:02 2018 A0: -1
  11. Sat Dec 29 09:41:02 2018 A1: 0
  12. Sat Dec 29 09:41:02 2018 A2: 0
  13. Sat Dec 29 09:41:02 2018 A3: 0
  14. Sat Dec 29 09:41:02 2018 A4: 0
  15. Sat Dec 29 09:41:02 2018 A5: 0
  16. Sat Dec 29 09:41:02 2018 A6: 3847
  17. Sat Dec 29 09:41:02 2018 skew 0.25, size 5.704e-11, alpha 0.370, combined = 2.251e-12 rroots = 2
  18. Sat Dec 29 09:41:02 2018
  19. Sat Dec 29 09:41:02 2018 commencing relation filtering
  20. Sat Dec 29 09:41:02 2018 estimated available RAM is 65536.0 MB
  21. Sat Dec 29 09:41:02 2018 commencing duplicate removal, pass 1
  22. Sat Dec 29 09:42:27 2018 error -5 reading relation 12779489
  23. Sat Dec 29 09:42:27 2018 error -15 reading relation 12782753
  24. Sat Dec 29 09:42:27 2018 error -9 reading relation 12789105
  25. Sat Dec 29 09:43:25 2018 error -15 reading relation 21465310
  26. Sat Dec 29 09:43:27 2018 error -9 reading relation 21807415
  27. Sat Dec 29 09:43:28 2018 error -5 reading relation 22006931
  28. Sat Dec 29 09:43:31 2018 error -15 reading relation 22420326
  29. Sat Dec 29 09:43:32 2018 error -5 reading relation 22572689
  30. Sat Dec 29 09:43:33 2018 error -9 reading relation 22658943
  31. Sat Dec 29 09:43:33 2018 error -9 reading relation 22661603
  32. Sat Dec 29 09:43:33 2018 error -9 reading relation 22661723
  33. Sat Dec 29 09:43:34 2018 error -15 reading relation 22852214
  34. Sat Dec 29 09:43:49 2018 error -15 reading relation 25163159
  35. Sat Dec 29 09:43:54 2018 error -15 reading relation 25849780
  36. Sat Dec 29 09:44:04 2018 error -5 reading relation 27325498
  37. Sat Dec 29 09:44:06 2018 error -5 reading relation 27632359
  38. Sat Dec 29 09:44:16 2018 error -9 reading relation 29212321
  39. Sat Dec 29 09:44:35 2018 error -9 reading relation 32083041
  40. Sat Dec 29 09:44:36 2018 error -1 reading relation 32145881
  41. Sat Dec 29 09:44:39 2018 error -9 reading relation 32648638
  42. Sat Dec 29 09:44:48 2018 error -1 reading relation 34023905
  43. Sat Dec 29 09:44:57 2018 error -9 reading relation 35346326
  44. Sat Dec 29 09:45:00 2018 error -9 reading relation 35758198
  45. Sat Dec 29 09:45:02 2018 error -15 reading relation 36098906
  46. Sat Dec 29 09:45:20 2018 error -9 reading relation 38723293
  47. Sat Dec 29 09:45:21 2018 error -9 reading relation 38856853
  48. Sat Dec 29 09:45:21 2018 error -15 reading relation 38886721
  49. Sat Dec 29 09:45:26 2018 error -9 reading relation 39663214
  50. Sat Dec 29 09:45:29 2018 error -1 reading relation 40089845
  51. Sat Dec 29 09:45:29 2018 error -9 reading relation 40106549
  52. Sat Dec 29 09:45:30 2018 error -9 reading relation 40312712
  53. Sat Dec 29 09:45:32 2018 error -9 reading relation 40634959
  54. Sat Dec 29 09:45:33 2018 error -1 reading relation 40658094
  55. Sat Dec 29 09:45:33 2018 error -1 reading relation 40671641
  56. Sat Dec 29 09:45:33 2018 error -9 reading relation 40673815
  57. Sat Dec 29 09:45:33 2018 error -5 reading relation 40674347
  58. Sat Dec 29 09:45:33 2018 error -9 reading relation 40687621
  59. Sat Dec 29 09:45:33 2018 error -15 reading relation 40697393
  60. Sat Dec 29 09:45:33 2018 error -9 reading relation 40782256
  61. Sat Dec 29 09:45:34 2018 error -9 reading relation 40866337
  62. Sat Dec 29 09:45:48 2018 error -1 reading relation 42968140
  63. Sat Dec 29 09:45:52 2018 error -9 reading relation 43631520
  64. Sat Dec 29 09:45:53 2018 error -1 reading relation 43753351
  65. Sat Dec 29 09:45:54 2018 error -15 reading relation 43793148
  66. Sat Dec 29 09:45:56 2018 error -15 reading relation 44113961
  67. Sat Dec 29 09:45:57 2018 error -1 reading relation 44270487
  68. Sat Dec 29 09:46:03 2018 error -15 reading relation 45171481
  69. Sat Dec 29 09:46:04 2018 error -5 reading relation 45318248
  70. Sat Dec 29 09:46:05 2018 error -15 reading relation 45457378
  71. Sat Dec 29 09:46:08 2018 error -9 reading relation 45975224
  72. Sat Dec 29 09:46:10 2018 error -9 reading relation 46240769
  73. Sat Dec 29 09:46:11 2018 error -15 reading relation 46409291
  74. Sat Dec 29 09:46:12 2018 error -9 reading relation 46559885
  75. Sat Dec 29 09:46:13 2018 error -15 reading relation 46642682
  76. Sat Dec 29 09:46:16 2018 error -6 reading relation 47091554
  77. Sat Dec 29 09:46:16 2018 error -11 reading relation 47146249
  78. Sat Dec 29 09:46:19 2018 error -5 reading relation 47633930
  79. Sat Dec 29 09:46:28 2018 error -9 reading relation 48860260
  80. Sat Dec 29 09:46:43 2018 error -15 reading relation 51209380
  81. Sat Dec 29 09:46:46 2018 error -15 reading relation 51621406
  82. Sat Dec 29 09:46:49 2018 error -9 reading relation 52093651
  83. Sat Dec 29 09:46:50 2018 error -9 reading relation 52138115
  84. Sat Dec 29 09:46:50 2018 error -9 reading relation 52240035
  85. Sat Dec 29 09:46:53 2018 error -1 reading relation 52617641
  86. Sat Dec 29 09:46:53 2018 error -5 reading relation 52639661
  87. Sat Dec 29 09:46:54 2018 error -15 reading relation 52810625
  88. Sat Dec 29 09:46:54 2018 error -15 reading relation 52842268
  89. Sat Dec 29 09:47:00 2018 error -5 reading relation 53759378
  90. Sat Dec 29 09:47:02 2018 skipped 14 relations with b > 2^32
  91. Sat Dec 29 09:47:02 2018 skipped 37 relations with composite factors
  92. Sat Dec 29 09:47:02 2018 found 10665577 hash collisions in 54039653 relations
  93. Sat Dec 29 09:47:16 2018 added 1219228 free relations
  94. Sat Dec 29 09:47:16 2018 commencing duplicate removal, pass 2
  95. Sat Dec 29 09:47:34 2018 found 10563300 duplicates and 44695581 unique relations
  96. Sat Dec 29 09:47:34 2018 memory use: 330.4 MB
  97. Sat Dec 29 09:47:34 2018 reading ideals above 720000
  98. Sat Dec 29 09:47:34 2018 commencing singleton removal, initial pass
  99. Sat Dec 29 09:52:23 2018 memory use: 1378.0 MB
  100. Sat Dec 29 09:52:23 2018 reading all ideals from disk
  101. Sat Dec 29 09:52:24 2018 memory use: 1611.3 MB
  102. Sat Dec 29 09:52:27 2018 keeping 45542136 ideals with weight <= 200, target excess is 239823
  103. Sat Dec 29 09:52:31 2018 commencing in-memory singleton removal
  104. Sat Dec 29 09:52:34 2018 begin with 44695581 relations and 45542136 unique ideals
  105. Sat Dec 29 09:53:12 2018 reduce to 24040671 relations and 22214450 ideals in 20 passes
  106. Sat Dec 29 09:53:12 2018 max relations containing the same ideal: 136
  107. Sat Dec 29 09:53:21 2018 removing 2902261 relations and 2502261 ideals in 400000 cliques
  108. Sat Dec 29 09:53:22 2018 commencing in-memory singleton removal
  109. Sat Dec 29 09:53:23 2018 begin with 21138410 relations and 22214450 unique ideals
  110. Sat Dec 29 09:53:37 2018 reduce to 20819506 relations and 19385855 ideals in 9 passes
  111. Sat Dec 29 09:53:37 2018 max relations containing the same ideal: 127
  112. Sat Dec 29 09:53:45 2018 removing 2180100 relations and 1780100 ideals in 400000 cliques
  113. Sat Dec 29 09:53:45 2018 commencing in-memory singleton removal
  114. Sat Dec 29 09:53:46 2018 begin with 18639406 relations and 19385855 unique ideals
  115. Sat Dec 29 09:53:58 2018 reduce to 18450196 relations and 17412728 ideals in 9 passes
  116. Sat Dec 29 09:53:58 2018 max relations containing the same ideal: 114
  117. Sat Dec 29 09:54:05 2018 removing 1949307 relations and 1549307 ideals in 400000 cliques
  118. Sat Dec 29 09:54:05 2018 commencing in-memory singleton removal
  119. Sat Dec 29 09:54:06 2018 begin with 16500889 relations and 17412728 unique ideals
  120. Sat Dec 29 09:54:15 2018 reduce to 16337567 relations and 15696634 ideals in 8 passes
  121. Sat Dec 29 09:54:15 2018 max relations containing the same ideal: 106
  122. Sat Dec 29 09:54:21 2018 removing 1688445 relations and 1325707 ideals in 362738 cliques
  123. Sat Dec 29 09:54:22 2018 commencing in-memory singleton removal
  124. Sat Dec 29 09:54:22 2018 begin with 14649122 relations and 15696634 unique ideals
  125. Sat Dec 29 09:54:30 2018 reduce to 14516680 relations and 14235682 ideals in 8 passes
  126. Sat Dec 29 09:54:30 2018 max relations containing the same ideal: 101
  127. Sat Dec 29 09:54:37 2018 relations with 0 large ideals: 8837
  128. Sat Dec 29 09:54:37 2018 relations with 1 large ideals: 2949
  129. Sat Dec 29 09:54:37 2018 relations with 2 large ideals: 29660
  130. Sat Dec 29 09:54:37 2018 relations with 3 large ideals: 227158
  131. Sat Dec 29 09:54:37 2018 relations with 4 large ideals: 960359
  132. Sat Dec 29 09:54:37 2018 relations with 5 large ideals: 2414925
  133. Sat Dec 29 09:54:37 2018 relations with 6 large ideals: 3766832
  134. Sat Dec 29 09:54:37 2018 relations with 7+ large ideals: 7105960
  135. Sat Dec 29 09:54:37 2018 commencing 2-way merge
  136. Sat Dec 29 09:54:46 2018 reduce to 9248711 relation sets and 8967713 unique ideals
  137. Sat Dec 29 09:54:46 2018 commencing full merge
  138. Sat Dec 29 09:56:55 2018 memory use: 1119.6 MB
  139. Sat Dec 29 09:56:57 2018 found 4943642 cycles, need 4903913
  140. Sat Dec 29 09:56:57 2018 weight of 4903913 cycles is about 343532103 (70.05/cycle)
  141. Sat Dec 29 09:56:57 2018 distribution of cycle lengths:
  142. Sat Dec 29 09:56:57 2018 1 relations: 613483
  143. Sat Dec 29 09:56:57 2018 2 relations: 630733
  144. Sat Dec 29 09:56:57 2018 3 relations: 618581
  145. Sat Dec 29 09:56:57 2018 4 relations: 548130
  146. Sat Dec 29 09:56:57 2018 5 relations: 486884
  147. Sat Dec 29 09:56:57 2018 6 relations: 414854
  148. Sat Dec 29 09:56:57 2018 7 relations: 355573
  149. Sat Dec 29 09:56:57 2018 8 relations: 297744
  150. Sat Dec 29 09:56:57 2018 9 relations: 242356
  151. Sat Dec 29 09:56:57 2018 10+ relations: 695575
  152. Sat Dec 29 09:56:57 2018 heaviest cycle: 21 relations
  153. Sat Dec 29 09:56:59 2018 commencing cycle optimization
  154. Sat Dec 29 09:57:06 2018 start with 26309075 relations
  155. Sat Dec 29 09:57:44 2018 pruned 631087 relations
  156. Sat Dec 29 09:57:44 2018 memory use: 865.5 MB
  157. Sat Dec 29 09:57:44 2018 distribution of cycle lengths:
  158. Sat Dec 29 09:57:44 2018 1 relations: 613483
  159. Sat Dec 29 09:57:44 2018 2 relations: 643515
  160. Sat Dec 29 09:57:44 2018 3 relations: 639906
  161. Sat Dec 29 09:57:44 2018 4 relations: 560870
  162. Sat Dec 29 09:57:44 2018 5 relations: 497590
  163. Sat Dec 29 09:57:44 2018 6 relations: 420330
  164. Sat Dec 29 09:57:44 2018 7 relations: 358249
  165. Sat Dec 29 09:57:44 2018 8 relations: 295991
  166. Sat Dec 29 09:57:44 2018 9 relations: 239057
  167. Sat Dec 29 09:57:44 2018 10+ relations: 634922
  168. Sat Dec 29 09:57:44 2018 heaviest cycle: 21 relations
  169. Sat Dec 29 09:57:52 2018 RelProcTime: 1010
  170. Sat Dec 29 09:57:52 2018
  171. Sat Dec 29 09:57:52 2018 commencing linear algebra
  172. Sat Dec 29 09:57:53 2018 read 4903913 cycles
  173. Sat Dec 29 09:57:59 2018 cycles contain 14286080 unique relations
  174. Sat Dec 29 09:59:05 2018 read 14286080 relations
  175. Sat Dec 29 09:59:23 2018 using 20 quadratic characters above 4294917295
  176. Sat Dec 29 10:00:14 2018 building initial matrix
  177. Sat Dec 29 10:01:57 2018 memory use: 1792.3 MB
  178. Sat Dec 29 10:02:01 2018 read 4903913 cycles
  179. Sat Dec 29 10:02:01 2018 matrix is 4903735 x 4903913 (1482.0 MB) with weight 435290718 (88.76/col)
  180. Sat Dec 29 10:02:01 2018 sparse part has weight 334562182 (68.22/col)
  181. Sat Dec 29 10:02:36 2018 filtering completed in 2 passes
  182. Sat Dec 29 10:02:37 2018 matrix is 4901464 x 4901641 (1481.9 MB) with weight 435225239 (88.79/col)
  183. Sat Dec 29 10:02:37 2018 sparse part has weight 334542681 (68.25/col)
  184. Sat Dec 29 10:02:50 2018 matrix starts at (0, 0)
  185. Sat Dec 29 10:02:50 2018 matrix is 4901464 x 4901641 (1481.9 MB) with weight 435225239 (88.79/col)
  186. Sat Dec 29 10:02:50 2018 sparse part has weight 334542681 (68.25/col)
  187. Sat Dec 29 10:02:50 2018 saving the first 48 matrix rows for later
  188. Sat Dec 29 10:02:51 2018 matrix includes 64 packed rows
  189. Sat Dec 29 10:02:51 2018 matrix is 4901416 x 4901641 (1409.2 MB) with weight 348177802 (71.03/col)
  190. Sat Dec 29 10:02:51 2018 sparse part has weight 320388720 (65.36/col)
  191. Sat Dec 29 10:02:51 2018 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  192. Sat Dec 29 10:03:08 2018 commencing Lanczos iteration (6 threads)
  193. Sat Dec 29 10:03:08 2018 memory use: 1148.9 MB
  194. Sat Dec 29 10:03:16 2018 linear algebra at 0.0%, ETA 6h16m
  195. Sat Dec 29 10:03:19 2018 checkpointing every 730000 dimensions
  196. Sat Dec 29 16:42:41 2018 lanczos halted after 77507 iterations (dim = 4901412)
  197. Sat Dec 29 16:42:47 2018 recovered 33 nontrivial dependencies
  198. Sat Dec 29 16:42:47 2018 BLanczosTime: 24295
  199. Sat Dec 29 16:42:47 2018
  200. Sat Dec 29 16:42:47 2018 commencing square root phase
  201. Sat Dec 29 16:42:47 2018 reading relations for dependency 1
  202. Sat Dec 29 16:42:48 2018 read 2452178 cycles
  203. Sat Dec 29 16:42:51 2018 cycles contain 7143606 unique relations
  204. Sat Dec 29 16:43:26 2018 read 7143606 relations
  205. Sat Dec 29 16:43:54 2018 multiplying 7143606 relations
  206. Sat Dec 29 16:49:12 2018 multiply complete, coefficients have about 249.29 million bits
  207. Sat Dec 29 16:49:13 2018 initial square root is modulo 883787521
  208. Sat Dec 29 16:55:01 2018 sqrtTime: 734
  209. Sat Dec 29 16:55:01 2018 p57 factor: 530860659748271323176854708372444525930568556540555869523
  210. Sat Dec 29 16:55:01 2018 p152 factor: 21280890564916262810420893921848156663627108686145937062098206825064710260470686815059875622054786022304956980553373046700818601538828553010637166969249
  211. Sat Dec 29 16:55:01 2018 elapsed time 07:14:01
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