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Aug 5th, 2016
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  1. Wed Aug 3 14:31:33 2016
  2. Wed Aug 3 14:31:33 2016
  3. Wed Aug 3 14:31:33 2016 Msieve v. 1.53 (SVN 988M)
  4. Wed Aug 3 14:31:33 2016 random seeds: f43820fa aa83b114
  5. Wed Aug 3 14:31:33 2016 factoring 1097873790297730805604367127430872700348737394964668650003720018880182843628057454557787062620722923613246687015300563045066102681260565211472179942752165275014600629663909522695107754837 (187 digits)
  6. Wed Aug 3 14:31:33 2016 searching for 15-digit factors
  7. Wed Aug 3 14:31:35 2016 commencing number field sieve (187-digit input)
  8. Wed Aug 3 14:31:35 2016 R0: 5243338316756303634461458718861951455543
  9. Wed Aug 3 14:31:35 2016 R1: -710542735760100185871124267578125
  10. Wed Aug 3 14:31:35 2016 A0: -5
  11. Wed Aug 3 14:31:35 2016 A1: 0
  12. Wed Aug 3 14:31:35 2016 A2: 0
  13. Wed Aug 3 14:31:35 2016 A3: 0
  14. Wed Aug 3 14:31:35 2016 A4: 0
  15. Wed Aug 3 14:31:35 2016 A5: 0
  16. Wed Aug 3 14:31:35 2016 A6: 7
  17. Wed Aug 3 14:31:35 2016 skew 0.94, size 5.943e-12, alpha 2.388, combined = 4.395e-13 rroots = 2
  18. Wed Aug 3 14:31:35 2016
  19. Wed Aug 3 14:31:35 2016 commencing relation filtering
  20. Wed Aug 3 14:31:35 2016 setting target matrix density to 130.0
  21. Wed Aug 3 14:31:35 2016 estimated available RAM is 65536.0 MB
  22. Wed Aug 3 14:31:35 2016 commencing duplicate removal, pass 1
  23. Wed Aug 3 14:59:33 2016 error -15 reading relation 231584279
  24. Wed Aug 3 14:59:33 2016 error -15 reading relation 231585087
  25. Wed Aug 3 14:59:33 2016 error -9 reading relation 231588229
  26. Wed Aug 3 14:59:34 2016 error -9 reading relation 231725336
  27. Wed Aug 3 14:59:34 2016 error -9 reading relation 231845904
  28. Wed Aug 3 14:59:35 2016 error -15 reading relation 231964161
  29. Wed Aug 3 14:59:41 2016 error -9 reading relation 232787649
  30. Wed Aug 3 14:59:46 2016 error -15 reading relation 233493282
  31. Wed Aug 3 14:59:53 2016 error -15 reading relation 234469223
  32. Wed Aug 3 14:59:59 2016 error -9 reading relation 235266739
  33. Wed Aug 3 15:00:00 2016 error -9 reading relation 235446604
  34. Wed Aug 3 15:00:01 2016 error -9 reading relation 235603377
  35. Wed Aug 3 15:00:02 2016 error -15 reading relation 235633159
  36. Wed Aug 3 15:00:38 2016 error -9 reading relation 240719946
  37. Wed Aug 3 15:00:39 2016 error -15 reading relation 240807678
  38. Wed Aug 3 15:01:15 2016 error -9 reading relation 245757463
  39. Wed Aug 3 15:01:53 2016 error -1 reading relation 251149416
  40. Wed Aug 3 15:01:57 2016 error -9 reading relation 251655944
  41. Wed Aug 3 15:02:00 2016 error -1 reading relation 252097370
  42. Wed Aug 3 15:02:01 2016 error -1 reading relation 252256690
  43. Wed Aug 3 15:02:02 2016 error -5 reading relation 252279974
  44. Wed Aug 3 15:02:02 2016 error -1 reading relation 252279975
  45. Wed Aug 3 15:02:31 2016 error -9 reading relation 256360433
  46. Wed Aug 3 15:02:33 2016 skipped 84 relations with b > 2^32
  47. Wed Aug 3 15:02:33 2016 skipped 11 relations with composite factors
  48. Wed Aug 3 15:02:33 2016 found 51922332 hash collisions in 256646893 relations
  49. Wed Aug 3 15:02:48 2016 added 1219046 free relations
  50. Wed Aug 3 15:02:48 2016 commencing duplicate removal, pass 2
  51. Wed Aug 3 15:06:42 2016 found 51092401 duplicates and 206773538 unique relations
  52. Wed Aug 3 15:06:42 2016 memory use: 1321.5 MB
  53. Wed Aug 3 15:06:42 2016 reading ideals above 720000
  54. Wed Aug 3 15:06:42 2016 commencing singleton removal, initial pass
  55. Wed Aug 3 15:31:29 2016 memory use: 5512.0 MB
  56. Wed Aug 3 15:31:29 2016 reading all ideals from disk
  57. Wed Aug 3 15:31:34 2016 memory use: 8121.3 MB
  58. Wed Aug 3 15:31:55 2016 keeping 177581785 ideals with weight <= 200, target excess is 1055731
  59. Wed Aug 3 15:32:20 2016 commencing in-memory singleton removal
  60. Wed Aug 3 15:32:36 2016 begin with 206773538 relations and 177581785 unique ideals
  61. Wed Aug 3 15:35:09 2016 reduce to 143322515 relations and 108356425 ideals in 12 passes
  62. Wed Aug 3 15:35:09 2016 max relations containing the same ideal: 166
  63. Wed Aug 3 15:36:07 2016 removing 9986441 relations and 7986441 ideals in 2000000 cliques
  64. Wed Aug 3 15:36:10 2016 commencing in-memory singleton removal
  65. Wed Aug 3 15:36:20 2016 begin with 133336074 relations and 108356425 unique ideals
  66. Wed Aug 3 15:37:38 2016 reduce to 132823268 relations and 99848099 ideals in 7 passes
  67. Wed Aug 3 15:37:38 2016 max relations containing the same ideal: 160
  68. Wed Aug 3 15:38:31 2016 removing 7618391 relations and 5618391 ideals in 2000000 cliques
  69. Wed Aug 3 15:38:34 2016 commencing in-memory singleton removal
  70. Wed Aug 3 15:38:44 2016 begin with 125204877 relations and 99848099 unique ideals
  71. Wed Aug 3 15:39:56 2016 reduce to 124859653 relations and 93879275 ideals in 7 passes
  72. Wed Aug 3 15:39:56 2016 max relations containing the same ideal: 155
  73. Wed Aug 3 15:40:46 2016 removing 6934653 relations and 4934653 ideals in 2000000 cliques
  74. Wed Aug 3 15:40:49 2016 commencing in-memory singleton removal
  75. Wed Aug 3 15:40:58 2016 begin with 117925000 relations and 93879275 unique ideals
  76. Wed Aug 3 15:42:05 2016 reduce to 117625537 relations and 88640626 ideals in 7 passes
  77. Wed Aug 3 15:42:05 2016 max relations containing the same ideal: 149
  78. Wed Aug 3 15:42:52 2016 removing 6575686 relations and 4575686 ideals in 2000000 cliques
  79. Wed Aug 3 15:42:55 2016 commencing in-memory singleton removal
  80. Wed Aug 3 15:43:03 2016 begin with 111049851 relations and 88640626 unique ideals
  81. Wed Aug 3 15:43:58 2016 reduce to 110773705 relations and 83784445 ideals in 6 passes
  82. Wed Aug 3 15:43:58 2016 max relations containing the same ideal: 141
  83. Wed Aug 3 15:44:42 2016 removing 6348098 relations and 4348098 ideals in 2000000 cliques
  84. Wed Aug 3 15:44:45 2016 commencing in-memory singleton removal
  85. Wed Aug 3 15:44:53 2016 begin with 104425607 relations and 83784445 unique ideals
  86. Wed Aug 3 15:45:52 2016 reduce to 104161766 relations and 79168149 ideals in 7 passes
  87. Wed Aug 3 15:45:52 2016 max relations containing the same ideal: 135
  88. Wed Aug 3 15:46:34 2016 removing 6190059 relations and 4190059 ideals in 2000000 cliques
  89. Wed Aug 3 15:46:36 2016 commencing in-memory singleton removal
  90. Wed Aug 3 15:46:43 2016 begin with 97971707 relations and 79168149 unique ideals
  91. Wed Aug 3 15:47:39 2016 reduce to 97714355 relations and 74716254 ideals in 7 passes
  92. Wed Aug 3 15:47:39 2016 max relations containing the same ideal: 128
  93. Wed Aug 3 15:48:18 2016 removing 6072160 relations and 4072160 ideals in 2000000 cliques
  94. Wed Aug 3 15:48:21 2016 commencing in-memory singleton removal
  95. Wed Aug 3 15:48:28 2016 begin with 91642195 relations and 74716254 unique ideals
  96. Wed Aug 3 15:49:12 2016 reduce to 91385583 relations and 70382724 ideals in 6 passes
  97. Wed Aug 3 15:49:12 2016 max relations containing the same ideal: 126
  98. Wed Aug 3 15:49:48 2016 removing 5981207 relations and 3981207 ideals in 2000000 cliques
  99. Wed Aug 3 15:49:51 2016 commencing in-memory singleton removal
  100. Wed Aug 3 15:49:57 2016 begin with 85404376 relations and 70382724 unique ideals
  101. Wed Aug 3 15:50:38 2016 reduce to 85145110 relations and 66137202 ideals in 6 passes
  102. Wed Aug 3 15:50:38 2016 max relations containing the same ideal: 121
  103. Wed Aug 3 15:51:12 2016 removing 5912106 relations and 3912106 ideals in 2000000 cliques
  104. Wed Aug 3 15:51:14 2016 commencing in-memory singleton removal
  105. Wed Aug 3 15:51:20 2016 begin with 79233004 relations and 66137202 unique ideals
  106. Wed Aug 3 15:52:04 2016 reduce to 78968974 relations and 61955549 ideals in 7 passes
  107. Wed Aug 3 15:52:04 2016 max relations containing the same ideal: 114
  108. Wed Aug 3 15:52:35 2016 removing 5855057 relations and 3855057 ideals in 2000000 cliques
  109. Wed Aug 3 15:52:38 2016 commencing in-memory singleton removal
  110. Wed Aug 3 15:52:43 2016 begin with 73113917 relations and 61955549 unique ideals
  111. Wed Aug 3 15:53:17 2016 reduce to 72842236 relations and 57822767 ideals in 6 passes
  112. Wed Aug 3 15:53:17 2016 max relations containing the same ideal: 107
  113. Wed Aug 3 15:53:46 2016 removing 5810620 relations and 3810620 ideals in 2000000 cliques
  114. Wed Aug 3 15:53:48 2016 commencing in-memory singleton removal
  115. Wed Aug 3 15:53:53 2016 begin with 67031616 relations and 57822767 unique ideals
  116. Wed Aug 3 15:54:30 2016 reduce to 66747736 relations and 53721512 ideals in 7 passes
  117. Wed Aug 3 15:54:30 2016 max relations containing the same ideal: 103
  118. Wed Aug 3 15:54:56 2016 removing 5774949 relations and 3774949 ideals in 2000000 cliques
  119. Wed Aug 3 15:54:58 2016 commencing in-memory singleton removal
  120. Wed Aug 3 15:55:03 2016 begin with 60972787 relations and 53721512 unique ideals
  121. Wed Aug 3 15:55:36 2016 reduce to 60674301 relations and 49640379 ideals in 7 passes
  122. Wed Aug 3 15:55:36 2016 max relations containing the same ideal: 97
  123. Wed Aug 3 15:56:00 2016 removing 5748688 relations and 3748688 ideals in 2000000 cliques
  124. Wed Aug 3 15:56:02 2016 commencing in-memory singleton removal
  125. Wed Aug 3 15:56:06 2016 begin with 54925613 relations and 49640379 unique ideals
  126. Wed Aug 3 15:56:31 2016 reduce to 54605917 relations and 45562988 ideals in 6 passes
  127. Wed Aug 3 15:56:31 2016 max relations containing the same ideal: 89
  128. Wed Aug 3 15:56:53 2016 removing 5729964 relations and 3729964 ideals in 2000000 cliques
  129. Wed Aug 3 15:56:55 2016 commencing in-memory singleton removal
  130. Wed Aug 3 15:56:58 2016 begin with 48875953 relations and 45562988 unique ideals
  131. Wed Aug 3 15:57:20 2016 reduce to 48525338 relations and 41471759 ideals in 6 passes
  132. Wed Aug 3 15:57:20 2016 max relations containing the same ideal: 81
  133. Wed Aug 3 15:57:40 2016 removing 5725560 relations and 3725560 ideals in 2000000 cliques
  134. Wed Aug 3 15:57:42 2016 commencing in-memory singleton removal
  135. Wed Aug 3 15:57:44 2016 begin with 42799778 relations and 41471759 unique ideals
  136. Wed Aug 3 15:58:07 2016 reduce to 42406368 relations and 37339051 ideals in 7 passes
  137. Wed Aug 3 15:58:07 2016 max relations containing the same ideal: 73
  138. Wed Aug 3 15:58:24 2016 removing 5735521 relations and 3735521 ideals in 2000000 cliques
  139. Wed Aug 3 15:58:26 2016 commencing in-memory singleton removal
  140. Wed Aug 3 15:58:28 2016 begin with 36670847 relations and 37339051 unique ideals
  141. Wed Aug 3 15:58:49 2016 reduce to 36206548 relations and 33120882 ideals in 8 passes
  142. Wed Aug 3 15:58:49 2016 max relations containing the same ideal: 66
  143. Wed Aug 3 15:59:04 2016 removing 5436904 relations and 3575886 ideals in 1861018 cliques
  144. Wed Aug 3 15:59:06 2016 commencing in-memory singleton removal
  145. Wed Aug 3 15:59:08 2016 begin with 30769644 relations and 33120882 unique ideals
  146. Wed Aug 3 15:59:25 2016 reduce to 30240871 relations and 28993292 ideals in 8 passes
  147. Wed Aug 3 15:59:25 2016 max relations containing the same ideal: 59
  148. Wed Aug 3 15:59:38 2016 removing 135392 relations and 112461 ideals in 22931 cliques
  149. Wed Aug 3 15:59:38 2016 commencing in-memory singleton removal
  150. Wed Aug 3 15:59:40 2016 begin with 30105479 relations and 28993292 unique ideals
  151. Wed Aug 3 15:59:49 2016 reduce to 30104966 relations and 28880317 ideals in 4 passes
  152. Wed Aug 3 15:59:49 2016 max relations containing the same ideal: 59
  153. Wed Aug 3 15:59:54 2016 relations with 0 large ideals: 39679
  154. Wed Aug 3 15:59:54 2016 relations with 1 large ideals: 33889
  155. Wed Aug 3 15:59:54 2016 relations with 2 large ideals: 381272
  156. Wed Aug 3 15:59:54 2016 relations with 3 large ideals: 1919777
  157. Wed Aug 3 15:59:54 2016 relations with 4 large ideals: 5084291
  158. Wed Aug 3 15:59:54 2016 relations with 5 large ideals: 7888697
  159. Wed Aug 3 15:59:54 2016 relations with 6 large ideals: 7558289
  160. Wed Aug 3 15:59:54 2016 relations with 7+ large ideals: 7199072
  161. Wed Aug 3 15:59:54 2016 commencing 2-way merge
  162. Wed Aug 3 16:00:10 2016 reduce to 20619808 relation sets and 19395159 unique ideals
  163. Wed Aug 3 16:00:10 2016 commencing full merge
  164. Wed Aug 3 16:07:40 2016 memory use: 2456.6 MB
  165. Wed Aug 3 16:07:44 2016 found 8936806 cycles, need 8897359
  166. Wed Aug 3 16:07:44 2016 weight of 8897359 cycles is about 1157366247 (130.08/cycle)
  167. Wed Aug 3 16:07:44 2016 distribution of cycle lengths:
  168. Wed Aug 3 16:07:44 2016 1 relations: 236115
  169. Wed Aug 3 16:07:44 2016 2 relations: 399153
  170. Wed Aug 3 16:07:44 2016 3 relations: 519277
  171. Wed Aug 3 16:07:44 2016 4 relations: 571574
  172. Wed Aug 3 16:07:44 2016 5 relations: 618277
  173. Wed Aug 3 16:07:44 2016 6 relations: 636339
  174. Wed Aug 3 16:07:44 2016 7 relations: 640318
  175. Wed Aug 3 16:07:44 2016 8 relations: 626581
  176. Wed Aug 3 16:07:44 2016 9 relations: 597572
  177. Wed Aug 3 16:07:44 2016 10+ relations: 4052153
  178. Wed Aug 3 16:07:44 2016 heaviest cycle: 28 relations
  179. Wed Aug 3 16:07:47 2016 commencing cycle optimization
  180. Wed Aug 3 16:08:08 2016 start with 86514703 relations
  181. Wed Aug 3 16:12:09 2016 pruned 4853835 relations
  182. Wed Aug 3 16:12:09 2016 memory use: 2133.0 MB
  183. Wed Aug 3 16:12:09 2016 distribution of cycle lengths:
  184. Wed Aug 3 16:12:09 2016 1 relations: 236115
  185. Wed Aug 3 16:12:09 2016 2 relations: 410618
  186. Wed Aug 3 16:12:09 2016 3 relations: 543755
  187. Wed Aug 3 16:12:09 2016 4 relations: 600341
  188. Wed Aug 3 16:12:09 2016 5 relations: 657470
  189. Wed Aug 3 16:12:09 2016 6 relations: 676413
  190. Wed Aug 3 16:12:09 2016 7 relations: 685668
  191. Wed Aug 3 16:12:09 2016 8 relations: 668461
  192. Wed Aug 3 16:12:09 2016 9 relations: 637452
  193. Wed Aug 3 16:12:09 2016 10+ relations: 3781066
  194. Wed Aug 3 16:12:09 2016 heaviest cycle: 28 relations
  195. Wed Aug 3 16:12:26 2016 RelProcTime: 6051
  196. Wed Aug 3 16:12:26 2016
  197. Wed Aug 3 16:12:26 2016 commencing linear algebra
  198. Wed Aug 3 16:12:28 2016 read 8897359 cycles
  199. Wed Aug 3 16:12:48 2016 cycles contain 29536765 unique relations
  200. Wed Aug 3 16:17:33 2016 read 29536765 relations
  201. Wed Aug 3 16:18:34 2016 using 20 quadratic characters above 4294917295
  202. Wed Aug 3 16:20:20 2016 building initial matrix
  203. Wed Aug 3 16:26:05 2016 memory use: 3709.5 MB
  204. Wed Aug 3 16:26:13 2016 read 8897359 cycles
  205. Wed Aug 3 16:26:13 2016 matrix is 8897182 x 8897359 (4419.3 MB) with weight 1256943600 (141.27/col)
  206. Wed Aug 3 16:26:13 2016 sparse part has weight 1069524258 (120.21/col)
  207. Wed Aug 3 16:28:14 2016 filtering completed in 2 passes
  208. Wed Aug 3 16:28:15 2016 matrix is 8897064 x 8897241 (4419.3 MB) with weight 1256938736 (141.27/col)
  209. Wed Aug 3 16:28:15 2016 sparse part has weight 1069521884 (120.21/col)
  210. Wed Aug 3 16:28:48 2016 matrix starts at (0, 0)
  211. Wed Aug 3 16:28:49 2016 matrix is 8897064 x 8897241 (4419.3 MB) with weight 1256938736 (141.27/col)
  212. Wed Aug 3 16:28:49 2016 sparse part has weight 1069521884 (120.21/col)
  213. Wed Aug 3 16:28:49 2016 saving the first 48 matrix rows for later
  214. Wed Aug 3 16:28:51 2016 matrix includes 64 packed rows
  215. Wed Aug 3 16:28:51 2016 matrix is 8897016 x 8897241 (4224.4 MB) with weight 1086166197 (122.08/col)
  216. Wed Aug 3 16:28:51 2016 sparse part has weight 1018427965 (114.47/col)
  217. Wed Aug 3 16:28:51 2016 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  218. Wed Aug 3 16:29:46 2016 commencing Lanczos iteration (6 threads)
  219. Wed Aug 3 16:29:46 2016 memory use: 3612.3 MB
  220. Wed Aug 3 16:30:11 2016 linear algebra at 0.0%, ETA 39h 5m
  221. Wed Aug 3 16:30:19 2016 checkpointing every 230000 dimensions
  222. Fri Aug 5 07:34:36 2016 lanczos halted after 140692 iterations (dim = 8897014)
  223. Fri Aug 5 07:34:47 2016 recovered 35 nontrivial dependencies
  224. Fri Aug 5 07:34:48 2016 BLanczosTime: 141742
  225. Fri Aug 5 07:34:48 2016
  226. Fri Aug 5 07:34:48 2016 commencing square root phase
  227. Fri Aug 5 07:34:48 2016 handling dependencies 1 to 64
  228. Fri Aug 5 07:34:48 2016 reading relations for dependency 1
  229. Fri Aug 5 07:34:50 2016 read 4448352 cycles
  230. Fri Aug 5 07:34:59 2016 cycles contain 14765872 unique relations
  231. Fri Aug 5 07:38:45 2016 read 14765872 relations
  232. Fri Aug 5 07:39:44 2016 multiplying 14765872 relations
  233. Fri Aug 5 07:50:31 2016 multiply complete, coefficients have about 408.27 million bits
  234. Fri Aug 5 07:50:32 2016 initial square root is modulo 21170761
  235. Fri Aug 5 08:01:53 2016 GCD is 1, no factor found
  236. Fri Aug 5 08:01:53 2016 reading relations for dependency 2
  237. Fri Aug 5 08:01:55 2016 read 4447246 cycles
  238. Fri Aug 5 08:02:04 2016 cycles contain 14762616 unique relations
  239. Fri Aug 5 08:05:49 2016 read 14762616 relations
  240. Fri Aug 5 08:06:49 2016 multiplying 14762616 relations
  241. Fri Aug 5 08:17:36 2016 multiply complete, coefficients have about 408.18 million bits
  242. Fri Aug 5 08:17:37 2016 initial square root is modulo 21089611
  243. Fri Aug 5 08:28:51 2016 sqrtTime: 3243
  244. Fri Aug 5 08:28:51 2016 p85 factor: 1809469224931369287001299685992487167175106719107411383000134394892188135098118807327
  245. Fri Aug 5 08:28:51 2016 p102 factor: 606738028572644925259081735435644142752305912990781074291480924268220312746598968723274956067075685131
  246. Fri Aug 5 08:28:51 2016 elapsed time 41:57:18
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