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Aug 11th, 2016
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  1. Sun Aug 07 20:27:54 2016
  2. Sun Aug 07 20:27:54 2016
  3. Sun Aug 07 20:27:54 2016 Msieve v. 1.52 (SVN unknown)
  4. Sun Aug 07 20:27:54 2016 random seeds: 218895d8 1d345eb2
  5. Sun Aug 07 20:27:54 2016 factoring 11939175414619434006818786996042106395740253139976400213962334909589236821088644286279550939484092077150936535676141041634260060420055170912246003999600803903181312929561178449106711551 (185 digits)
  6. Sun Aug 07 20:27:55 2016 no P-1/P+1/ECM available, skipping
  7. Sun Aug 07 20:27:55 2016 commencing number field sieve (185-digit input)
  8. Sun Aug 07 20:27:55 2016 R0: 17605349516220764271966721
  9. Sun Aug 07 20:27:55 2016 R1: -752359350923790893319063566949457370471
  10. Sun Aug 07 20:27:55 2016 A0: 9017
  11. Sun Aug 07 20:27:55 2016 A1: 0
  12. Sun Aug 07 20:27:55 2016 A2: 0
  13. Sun Aug 07 20:27:55 2016 A3: 0
  14. Sun Aug 07 20:27:55 2016 A4: 0
  15. Sun Aug 07 20:27:55 2016 A5: 0
  16. Sun Aug 07 20:27:55 2016 A6: 1
  17. Sun Aug 07 20:27:55 2016 skew 4.56, size 4.578e-012, alpha 1.381, combined = 3.724e-013 rroots = 0
  18. Sun Aug 07 20:27:55 2016
  19. Sun Aug 07 20:27:55 2016 commencing relation filtering
  20. Sun Aug 07 20:27:55 2016 setting target matrix density to 120.0
  21. Sun Aug 07 20:27:55 2016 estimated available RAM is 16335.3 MB
  22. Sun Aug 07 20:27:55 2016 commencing duplicate removal, pass 1
  23. Sun Aug 07 20:43:11 2016 error -9 reading relation 101207851
  24. Sun Aug 07 20:43:16 2016 error -15 reading relation 101769226
  25. Sun Aug 07 20:58:15 2016 error -15 reading relation 199905986
  26. Sun Aug 07 20:58:42 2016 error -9 reading relation 202705014
  27. Sun Aug 07 20:58:44 2016 error -15 reading relation 202935325
  28. Sun Aug 07 20:58:55 2016 error -15 reading relation 204155563
  29. Sun Aug 07 20:58:55 2016 error -15 reading relation 204155600
  30. Sun Aug 07 20:58:55 2016 error -15 reading relation 204158498
  31. Sun Aug 07 20:58:55 2016 error -15 reading relation 204158536
  32. Sun Aug 07 21:03:35 2016 error -15 reading relation 234801854
  33. Sun Aug 07 21:03:39 2016 error -15 reading relation 235183432
  34. Sun Aug 07 21:04:08 2016 error -9 reading relation 238436746
  35. Sun Aug 07 21:04:08 2016 error -1 reading relation 238447648
  36. Sun Aug 07 21:04:32 2016 error -15 reading relation 241115560
  37. Sun Aug 07 21:04:32 2016 error -15 reading relation 241135686
  38. Sun Aug 07 21:05:33 2016 error -9 reading relation 248002912
  39. Sun Aug 07 21:06:38 2016 error -9 reading relation 255360908
  40. Sun Aug 07 21:06:40 2016 error -1 reading relation 255563649
  41. Sun Aug 07 21:06:54 2016 error -15 reading relation 257298986
  42. Sun Aug 07 21:06:58 2016 error -15 reading relation 257752823
  43. Sun Aug 07 21:07:03 2016 error -9 reading relation 258263935
  44. Sun Aug 07 21:07:03 2016 error -9 reading relation 258266767
  45. Sun Aug 07 21:07:04 2016 error -9 reading relation 258419902
  46. Sun Aug 07 21:07:04 2016 error -1 reading relation 258422664
  47. Sun Aug 07 21:07:11 2016 error -9 reading relation 259152650
  48. Sun Aug 07 21:07:12 2016 error -5 reading relation 259307136
  49. Sun Aug 07 21:07:34 2016 error -15 reading relation 261691001
  50. Sun Aug 07 21:07:34 2016 error -9 reading relation 261712815
  51. Sun Aug 07 21:07:34 2016 error -9 reading relation 261714097
  52. Sun Aug 07 21:07:39 2016 error -9 reading relation 262285808
  53. Sun Aug 07 21:08:24 2016 skipped 13 relations with b > 2^32
  54. Sun Aug 07 21:08:24 2016 found 55998307 hash collisions in 265469671 relations
  55. Sun Aug 07 21:08:44 2016 commencing duplicate removal, pass 2
  56. Sun Aug 07 21:14:49 2016 found 55932781 duplicates and 209536890 unique relations
  57. Sun Aug 07 21:14:49 2016 memory use: 1449.5 MB
  58. Sun Aug 07 21:14:49 2016 reading ideals above 189857792
  59. Sun Aug 07 21:14:49 2016 commencing singleton removal, initial pass
  60. Sun Aug 07 21:51:35 2016 memory use: 3012.0 MB
  61. Sun Aug 07 21:51:36 2016 reading all ideals from disk
  62. Sun Aug 07 21:52:26 2016 memory use: 3380.3 MB
  63. Sun Aug 07 21:52:32 2016 commencing in-memory singleton removal
  64. Sun Aug 07 21:52:38 2016 begin with 209536890 relations and 158409800 unique ideals
  65. Sun Aug 07 21:53:46 2016 reduce to 147209134 relations and 90560302 ideals in 12 passes
  66. Sun Aug 07 21:53:46 2016 max relations containing the same ideal: 35
  67. Sun Aug 07 21:53:56 2016 reading ideals above 720000
  68. Sun Aug 07 21:53:56 2016 commencing singleton removal, initial pass
  69. Sun Aug 07 22:27:34 2016 memory use: 3012.0 MB
  70. Sun Aug 07 22:27:34 2016 reading all ideals from disk
  71. Sun Aug 07 22:28:51 2016 memory use: 5789.9 MB
  72. Sun Aug 07 22:29:06 2016 keeping 110896278 ideals with weight <= 200, target excess is 758069
  73. Sun Aug 07 22:29:23 2016 commencing in-memory singleton removal
  74. Sun Aug 07 22:29:35 2016 begin with 147209134 relations and 110896278 unique ideals
  75. Sun Aug 07 22:31:56 2016 reduce to 147200705 relations and 110887847 ideals in 11 passes
  76. Sun Aug 07 22:31:56 2016 max relations containing the same ideal: 200
  77. Sun Aug 07 22:32:57 2016 removing 9870284 relations and 7870284 ideals in 2000000 cliques
  78. Sun Aug 07 22:33:00 2016 commencing in-memory singleton removal
  79. Sun Aug 07 22:33:11 2016 begin with 137330421 relations and 110887847 unique ideals
  80. Sun Aug 07 22:34:35 2016 reduce to 136841702 relations and 102520411 ideals in 7 passes
  81. Sun Aug 07 22:34:35 2016 max relations containing the same ideal: 198
  82. Sun Aug 07 22:35:31 2016 removing 7542667 relations and 5542667 ideals in 2000000 cliques
  83. Sun Aug 07 22:35:34 2016 commencing in-memory singleton removal
  84. Sun Aug 07 22:35:44 2016 begin with 129299035 relations and 102520411 unique ideals
  85. Sun Aug 07 22:37:02 2016 reduce to 128972557 relations and 96646316 ideals in 7 passes
  86. Sun Aug 07 22:37:02 2016 max relations containing the same ideal: 194
  87. Sun Aug 07 22:37:56 2016 removing 6865164 relations and 4865164 ideals in 2000000 cliques
  88. Sun Aug 07 22:37:58 2016 commencing in-memory singleton removal
  89. Sun Aug 07 22:38:08 2016 begin with 122107393 relations and 96646316 unique ideals
  90. Sun Aug 07 22:39:11 2016 reduce to 121823414 relations and 91492814 ideals in 6 passes
  91. Sun Aug 07 22:39:11 2016 max relations containing the same ideal: 186
  92. Sun Aug 07 22:40:03 2016 removing 6509990 relations and 4509990 ideals in 2000000 cliques
  93. Sun Aug 07 22:40:05 2016 commencing in-memory singleton removal
  94. Sun Aug 07 22:40:14 2016 begin with 115313424 relations and 91492814 unique ideals
  95. Sun Aug 07 22:41:33 2016 reduce to 115053079 relations and 86718415 ideals in 8 passes
  96. Sun Aug 07 22:41:33 2016 max relations containing the same ideal: 181
  97. Sun Aug 07 22:42:21 2016 removing 6283455 relations and 4283455 ideals in 2000000 cliques
  98. Sun Aug 07 22:42:24 2016 commencing in-memory singleton removal
  99. Sun Aug 07 22:42:32 2016 begin with 108769624 relations and 86718415 unique ideals
  100. Sun Aug 07 22:43:28 2016 reduce to 108523103 relations and 82184510 ideals in 6 passes
  101. Sun Aug 07 22:43:28 2016 max relations containing the same ideal: 176
  102. Sun Aug 07 22:44:14 2016 removing 6126066 relations and 4126066 ideals in 2000000 cliques
  103. Sun Aug 07 22:44:16 2016 commencing in-memory singleton removal
  104. Sun Aug 07 22:44:25 2016 begin with 102397037 relations and 82184510 unique ideals
  105. Sun Aug 07 22:45:17 2016 reduce to 102156430 relations and 77813931 ideals in 6 passes
  106. Sun Aug 07 22:45:17 2016 max relations containing the same ideal: 170
  107. Sun Aug 07 22:46:02 2016 removing 6003679 relations and 4003679 ideals in 2000000 cliques
  108. Sun Aug 07 22:46:04 2016 commencing in-memory singleton removal
  109. Sun Aug 07 22:46:12 2016 begin with 96152751 relations and 77813931 unique ideals
  110. Sun Aug 07 22:47:01 2016 reduce to 95914598 relations and 73567856 ideals in 6 passes
  111. Sun Aug 07 22:47:01 2016 max relations containing the same ideal: 163
  112. Sun Aug 07 22:47:42 2016 removing 5911402 relations and 3911402 ideals in 2000000 cliques
  113. Sun Aug 07 22:47:44 2016 commencing in-memory singleton removal
  114. Sun Aug 07 22:47:51 2016 begin with 90003196 relations and 73567856 unique ideals
  115. Sun Aug 07 22:48:36 2016 reduce to 89765160 relations and 69413861 ideals in 6 passes
  116. Sun Aug 07 22:48:36 2016 max relations containing the same ideal: 157
  117. Sun Aug 07 22:49:15 2016 removing 5836751 relations and 3836751 ideals in 2000000 cliques
  118. Sun Aug 07 22:49:17 2016 commencing in-memory singleton removal
  119. Sun Aug 07 22:49:24 2016 begin with 83928409 relations and 69413861 unique ideals
  120. Sun Aug 07 22:50:06 2016 reduce to 83687359 relations and 65331300 ideals in 6 passes
  121. Sun Aug 07 22:50:06 2016 max relations containing the same ideal: 150
  122. Sun Aug 07 22:50:42 2016 removing 5776967 relations and 3776967 ideals in 2000000 cliques
  123. Sun Aug 07 22:50:44 2016 commencing in-memory singleton removal
  124. Sun Aug 07 22:50:50 2016 begin with 77910392 relations and 65331300 unique ideals
  125. Sun Aug 07 22:51:29 2016 reduce to 77664689 relations and 61303545 ideals in 6 passes
  126. Sun Aug 07 22:51:29 2016 max relations containing the same ideal: 142
  127. Sun Aug 07 22:52:02 2016 removing 5724400 relations and 3724400 ideals in 2000000 cliques
  128. Sun Aug 07 22:52:04 2016 commencing in-memory singleton removal
  129. Sun Aug 07 22:52:10 2016 begin with 71940289 relations and 61303545 unique ideals
  130. Sun Aug 07 22:52:45 2016 reduce to 71687196 relations and 57320370 ideals in 6 passes
  131. Sun Aug 07 22:52:45 2016 max relations containing the same ideal: 135
  132. Sun Aug 07 22:53:16 2016 removing 5682664 relations and 3682664 ideals in 2000000 cliques
  133. Sun Aug 07 22:53:18 2016 commencing in-memory singleton removal
  134. Sun Aug 07 22:53:23 2016 begin with 66004532 relations and 57320370 unique ideals
  135. Sun Aug 07 22:54:01 2016 reduce to 65741000 relations and 53367815 ideals in 7 passes
  136. Sun Aug 07 22:54:01 2016 max relations containing the same ideal: 126
  137. Sun Aug 07 22:54:29 2016 removing 5644300 relations and 3644300 ideals in 2000000 cliques
  138. Sun Aug 07 22:54:31 2016 commencing in-memory singleton removal
  139. Sun Aug 07 22:54:36 2016 begin with 60096700 relations and 53367815 unique ideals
  140. Sun Aug 07 22:55:05 2016 reduce to 59817501 relations and 49436953 ideals in 6 passes
  141. Sun Aug 07 22:55:05 2016 max relations containing the same ideal: 117
  142. Sun Aug 07 22:55:31 2016 removing 5616386 relations and 3616386 ideals in 2000000 cliques
  143. Sun Aug 07 22:55:32 2016 commencing in-memory singleton removal
  144. Sun Aug 07 22:55:36 2016 begin with 54201115 relations and 49436953 unique ideals
  145. Sun Aug 07 22:56:02 2016 reduce to 53902241 relations and 45513269 ideals in 6 passes
  146. Sun Aug 07 22:56:02 2016 max relations containing the same ideal: 109
  147. Sun Aug 07 22:56:26 2016 removing 5601297 relations and 3601297 ideals in 2000000 cliques
  148. Sun Aug 07 22:56:28 2016 commencing in-memory singleton removal
  149. Sun Aug 07 22:56:31 2016 begin with 48300944 relations and 45513269 unique ideals
  150. Sun Aug 07 22:56:54 2016 reduce to 47970561 relations and 41570999 ideals in 6 passes
  151. Sun Aug 07 22:56:54 2016 max relations containing the same ideal: 99
  152. Sun Aug 07 22:57:15 2016 removing 5597316 relations and 3597316 ideals in 2000000 cliques
  153. Sun Aug 07 22:57:17 2016 commencing in-memory singleton removal
  154. Sun Aug 07 22:57:20 2016 begin with 42373245 relations and 41570999 unique ideals
  155. Sun Aug 07 22:57:40 2016 reduce to 41997720 relations and 37585036 ideals in 6 passes
  156. Sun Aug 07 22:57:40 2016 max relations containing the same ideal: 91
  157. Sun Aug 07 22:57:58 2016 removing 5622113 relations and 3622113 ideals in 2000000 cliques
  158. Sun Aug 07 22:58:00 2016 commencing in-memory singleton removal
  159. Sun Aug 07 22:58:02 2016 begin with 36375607 relations and 37585036 unique ideals
  160. Sun Aug 07 22:58:22 2016 reduce to 35922249 relations and 33491642 ideals in 7 passes
  161. Sun Aug 07 22:58:22 2016 max relations containing the same ideal: 84
  162. Sun Aug 07 22:58:38 2016 removing 4586482 relations and 3035236 ideals in 1551246 cliques
  163. Sun Aug 07 22:58:39 2016 commencing in-memory singleton removal
  164. Sun Aug 07 22:58:41 2016 begin with 31335767 relations and 33491642 unique ideals
  165. Sun Aug 07 22:58:58 2016 reduce to 30934122 relations and 30039606 ideals in 7 passes
  166. Sun Aug 07 22:58:58 2016 max relations containing the same ideal: 75
  167. Sun Aug 07 22:59:12 2016 removing 90579 relations and 75424 ideals in 15155 cliques
  168. Sun Aug 07 22:59:12 2016 commencing in-memory singleton removal
  169. Sun Aug 07 22:59:14 2016 begin with 30843543 relations and 30039606 unique ideals
  170. Sun Aug 07 22:59:23 2016 reduce to 30843322 relations and 29963961 ideals in 4 passes
  171. Sun Aug 07 22:59:23 2016 max relations containing the same ideal: 75
  172. Sun Aug 07 22:59:29 2016 relations with 0 large ideals: 27836
  173. Sun Aug 07 22:59:29 2016 relations with 1 large ideals: 16499
  174. Sun Aug 07 22:59:29 2016 relations with 2 large ideals: 188485
  175. Sun Aug 07 22:59:29 2016 relations with 3 large ideals: 1132044
  176. Sun Aug 07 22:59:29 2016 relations with 4 large ideals: 3641310
  177. Sun Aug 07 22:59:29 2016 relations with 5 large ideals: 6942617
  178. Sun Aug 07 22:59:29 2016 relations with 6 large ideals: 8239248
  179. Sun Aug 07 22:59:29 2016 relations with 7+ large ideals: 10655283
  180. Sun Aug 07 22:59:29 2016 commencing 2-way merge
  181. Sun Aug 07 22:59:47 2016 reduce to 21421086 relation sets and 20541725 unique ideals
  182. Sun Aug 07 22:59:47 2016 commencing full merge
  183. Sun Aug 07 23:08:01 2016 memory use: 2640.1 MB
  184. Sun Aug 07 23:08:03 2016 found 9472876 cycles, need 9427925
  185. Sun Aug 07 23:08:04 2016 weight of 9427925 cycles is about 1131565394 (120.02/cycle)
  186. Sun Aug 07 23:08:04 2016 distribution of cycle lengths:
  187. Sun Aug 07 23:08:04 2016 1 relations: 268721
  188. Sun Aug 07 23:08:04 2016 2 relations: 456038
  189. Sun Aug 07 23:08:04 2016 3 relations: 596902
  190. Sun Aug 07 23:08:04 2016 4 relations: 659732
  191. Sun Aug 07 23:08:04 2016 5 relations: 714188
  192. Sun Aug 07 23:08:04 2016 6 relations: 729200
  193. Sun Aug 07 23:08:04 2016 7 relations: 726899
  194. Sun Aug 07 23:08:04 2016 8 relations: 701671
  195. Sun Aug 07 23:08:04 2016 9 relations: 660585
  196. Sun Aug 07 23:08:04 2016 10+ relations: 3913989
  197. Sun Aug 07 23:08:04 2016 heaviest cycle: 28 relations
  198. Sun Aug 07 23:08:06 2016 commencing cycle optimization
  199. Sun Aug 07 23:08:23 2016 start with 86093633 relations
  200. Sun Aug 07 23:12:28 2016 pruned 4638002 relations
  201. Sun Aug 07 23:12:28 2016 memory use: 2170.2 MB
  202. Sun Aug 07 23:12:28 2016 distribution of cycle lengths:
  203. Sun Aug 07 23:12:28 2016 1 relations: 268721
  204. Sun Aug 07 23:12:28 2016 2 relations: 468897
  205. Sun Aug 07 23:12:28 2016 3 relations: 624733
  206. Sun Aug 07 23:12:28 2016 4 relations: 692864
  207. Sun Aug 07 23:12:28 2016 5 relations: 757937
  208. Sun Aug 07 23:12:28 2016 6 relations: 774197
  209. Sun Aug 07 23:12:28 2016 7 relations: 776450
  210. Sun Aug 07 23:12:28 2016 8 relations: 746274
  211. Sun Aug 07 23:12:28 2016 9 relations: 699355
  212. Sun Aug 07 23:12:28 2016 10+ relations: 3618497
  213. Sun Aug 07 23:12:28 2016 heaviest cycle: 28 relations
  214. Sun Aug 07 23:12:45 2016 RelProcTime: 9890
  215. Sun Aug 07 23:12:45 2016
  216. Sun Aug 07 23:12:45 2016 commencing linear algebra
  217. Sun Aug 07 23:12:47 2016 read 9427925 cycles
  218. Sun Aug 07 23:13:07 2016 cycles contain 30447073 unique relations
  219. Sun Aug 07 23:33:54 2016 read 30447073 relations
  220. Sun Aug 07 23:34:49 2016 using 20 quadratic characters above 2147483550
  221. Sun Aug 07 23:37:05 2016 building initial matrix
  222. Sun Aug 07 23:43:54 2016 memory use: 3875.9 MB
  223. Sun Aug 07 23:45:55 2016 read 9427925 cycles
  224. Sun Aug 07 23:45:58 2016 matrix is 9427748 x 9427925 (4382.8 MB) with weight 1270227546 (134.73/col)
  225. Sun Aug 07 23:45:58 2016 sparse part has weight 1045224198 (110.86/col)
  226. Sun Aug 07 23:48:02 2016 filtering completed in 2 passes
  227. Sun Aug 07 23:48:05 2016 matrix is 9427596 x 9427773 (4382.8 MB) with weight 1270221904 (134.73/col)
  228. Sun Aug 07 23:48:05 2016 sparse part has weight 1045222178 (110.87/col)
  229. Sun Aug 07 23:49:52 2016 matrix starts at (0, 0)
  230. Sun Aug 07 23:49:55 2016 matrix is 9427596 x 9427773 (4382.8 MB) with weight 1270221904 (134.73/col)
  231. Sun Aug 07 23:49:55 2016 sparse part has weight 1045222178 (110.87/col)
  232. Sun Aug 07 23:49:55 2016 saving the first 48 matrix rows for later
  233. Sun Aug 07 23:49:58 2016 matrix includes 64 packed rows
  234. Sun Aug 07 23:50:00 2016 matrix is 9427548 x 9427773 (4211.2 MB) with weight 1086953626 (115.29/col)
  235. Sun Aug 07 23:50:00 2016 sparse part has weight 1009666848 (107.09/col)
  236. Sun Aug 07 23:50:00 2016 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  237. Sun Aug 07 23:50:55 2016 commencing Lanczos iteration (4 threads)
  238. Sun Aug 07 23:50:55 2016 memory use: 3609.4 MB
  239. Sun Aug 07 23:51:42 2016 linear algebra at 0.0%, ETA 77h46m
  240. Sun Aug 07 23:51:56 2016 checkpointing every 130000 dimensions
  241. Thu Aug 11 03:48:48 2016 lanczos halted after 149089 iterations (dim = 9427547)
  242. Thu Aug 11 03:49:10 2016 recovered 36 nontrivial dependencies
  243. Thu Aug 11 03:49:18 2016 BLanczosTime: 275793
  244. Thu Aug 11 03:49:18 2016
  245. Thu Aug 11 03:49:18 2016 commencing square root phase
  246. Thu Aug 11 03:49:18 2016 handling dependencies 1 to 64
  247. Thu Aug 11 03:49:18 2016 reading relations for dependency 1
  248. Thu Aug 11 03:49:22 2016 read 4712837 cycles
  249. Thu Aug 11 03:49:31 2016 cycles contain 15216634 unique relations
  250. Thu Aug 11 03:57:41 2016 read 15216634 relations
  251. Thu Aug 11 03:59:02 2016 multiplying 15216634 relations
  252. Thu Aug 11 04:11:52 2016 multiply complete, coefficients have about 396.67 million bits
  253. Thu Aug 11 04:11:57 2016 initial square root is modulo 13107433
  254. Thu Aug 11 04:27:45 2016 GCD is N, no factor found
  255. Thu Aug 11 04:27:45 2016 reading relations for dependency 2
  256. Thu Aug 11 04:27:47 2016 read 4713001 cycles
  257. Thu Aug 11 04:27:56 2016 cycles contain 15216720 unique relations
  258. Thu Aug 11 04:36:11 2016 read 15216720 relations
  259. Thu Aug 11 04:37:31 2016 multiplying 15216720 relations
  260. Thu Aug 11 04:50:20 2016 multiply complete, coefficients have about 396.67 million bits
  261. Thu Aug 11 04:50:25 2016 initial square root is modulo 13107037
  262. Thu Aug 11 05:06:22 2016 sqrtTime: 4624
  263. Thu Aug 11 05:06:22 2016 prp57 factor: 110725306400168058497352395722364420937597912793285968469
  264. Thu Aug 11 05:06:22 2016 prp129 factor: 107826980143730835199222216659838895815359598873747844790406217877390313521429487549373870448333451425740765568969693486354872579
  265. Thu Aug 11 05:06:22 2016 elapsed time 80:38:28
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