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C179_374xx231_19

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Oct 3rd, 2018
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  1. Wed Sep 12 17:58:17 2018
  2. Wed Sep 12 17:58:17 2018
  3. Wed Sep 12 17:58:17 2018 Msieve v. 1.54 (SVN 1025)
  4. Wed Sep 12 17:58:17 2018 random seeds: 3ae78a42 31ad4d38
  5. Wed Sep 12 17:58:17 2018 factoring 80618562396984935580623859027901093408800599611923946658233231525493005483233781369300047153178992219590691911823783888072577697447227475180025849626735504489297896289167314117439 (179 digits)
  6. Wed Sep 12 17:58:18 2018 searching for 15-digit factors
  7. Wed Sep 12 17:58:18 2018 commencing number field sieve (179-digit input)
  8. Wed Sep 12 17:58:18 2018 R0: 52322939506884127873809971198569749391
  9. Wed Sep 12 17:58:18 2018 R1: -1
  10. Wed Sep 12 17:58:18 2018 A0: -1
  11. Wed Sep 12 17:58:18 2018 A1: 0
  12. Wed Sep 12 17:58:18 2018 A2: 0
  13. Wed Sep 12 17:58:18 2018 A3: 0
  14. Wed Sep 12 17:58:18 2018 A4: 0
  15. Wed Sep 12 17:58:18 2018 A5: 0
  16. Wed Sep 12 17:58:18 2018 A6: 3740221981231
  17. Wed Sep 12 17:58:18 2018 skew 0.01, size 7.790e-13, alpha -0.975, combined = 1.051e-13 rroots = 2
  18. Wed Sep 12 17:58:18 2018
  19. Wed Sep 12 17:58:18 2018 commencing relation filtering
  20. Wed Sep 12 17:58:18 2018 setting target matrix density to 88.0
  21. Wed Sep 12 17:58:18 2018 estimated available RAM is 15986.5 MB
  22. Wed Sep 12 17:58:18 2018 commencing duplicate removal, pass 1
  23. Wed Sep 12 18:00:48 2018 error -5 reading relation 23278312
  24. Wed Sep 12 18:03:02 2018 error -15 reading relation 43849638
  25. Wed Sep 12 18:03:21 2018 error -1 reading relation 46735557
  26. Wed Sep 12 18:03:59 2018 error -15 reading relation 52546894
  27. Wed Sep 12 18:05:53 2018 error -15 reading relation 69952858
  28. Wed Sep 12 18:09:16 2018 error -11 reading relation 100742647
  29. Wed Sep 12 18:09:21 2018 error -15 reading relation 101595475
  30. Wed Sep 12 18:10:24 2018 error -15 reading relation 111157801
  31. Wed Sep 12 18:10:36 2018 error -1 reading relation 112846661
  32. Wed Sep 12 18:11:29 2018 error -1 reading relation 120917737
  33. Wed Sep 12 18:11:29 2018 error -15 reading relation 120923815
  34. Wed Sep 12 18:11:54 2018 error -15 reading relation 124662504
  35. Wed Sep 12 18:15:38 2018 error -15 reading relation 158009064
  36. Wed Sep 12 18:16:33 2018 skipped 266320 relations with b > 2^32
  37. Wed Sep 12 18:16:33 2018 skipped 5 relations with composite factors
  38. Wed Sep 12 18:16:33 2018 found 6017832 hash collisions in 164847013 relations
  39. Wed Sep 12 18:16:43 2018 commencing duplicate removal, pass 2
  40. Wed Sep 12 18:19:51 2018 found 5 duplicates and 164847008 unique relations
  41. Wed Sep 12 18:19:51 2018 memory use: 506.4 MB
  42. Wed Sep 12 18:19:51 2018 reading ideals above 113049600
  43. Wed Sep 12 18:19:51 2018 commencing singleton removal, initial pass
  44. Wed Sep 12 18:34:05 2018 memory use: 3012.0 MB
  45. Wed Sep 12 18:34:05 2018 reading all ideals from disk
  46. Wed Sep 12 18:34:25 2018 memory use: 3451.7 MB
  47. Wed Sep 12 18:34:32 2018 commencing in-memory singleton removal
  48. Wed Sep 12 18:34:38 2018 begin with 164847008 relations and 160411009 unique ideals
  49. Wed Sep 12 18:36:15 2018 reduce to 86986454 relations and 72707860 ideals in 20 passes
  50. Wed Sep 12 18:36:15 2018 max relations containing the same ideal: 31
  51. Wed Sep 12 18:36:19 2018 reading ideals above 720000
  52. Wed Sep 12 18:36:20 2018 commencing singleton removal, initial pass
  53. Wed Sep 12 18:46:06 2018 memory use: 2756.0 MB
  54. Wed Sep 12 18:46:06 2018 reading all ideals from disk
  55. Wed Sep 12 18:46:29 2018 memory use: 3510.2 MB
  56. Wed Sep 12 18:46:39 2018 keeping 85204846 ideals with weight <= 200, target excess is 441879
  57. Wed Sep 12 18:46:48 2018 commencing in-memory singleton removal
  58. Wed Sep 12 18:46:56 2018 begin with 86986454 relations and 85204846 unique ideals
  59. Wed Sep 12 18:48:03 2018 reduce to 86984092 relations and 85202484 ideals in 9 passes
  60. Wed Sep 12 18:48:03 2018 max relations containing the same ideal: 200
  61. Wed Sep 12 18:48:41 2018 removing 4760078 relations and 4360078 ideals in 400000 cliques
  62. Wed Sep 12 18:48:42 2018 commencing in-memory singleton removal
  63. Wed Sep 12 18:48:49 2018 begin with 82224014 relations and 85202484 unique ideals
  64. Wed Sep 12 18:50:00 2018 reduce to 81987915 relations and 80604556 ideals in 10 passes
  65. Wed Sep 12 18:50:00 2018 max relations containing the same ideal: 199
  66. Wed Sep 12 18:50:35 2018 removing 3469217 relations and 3069217 ideals in 400000 cliques
  67. Wed Sep 12 18:50:36 2018 commencing in-memory singleton removal
  68. Wed Sep 12 18:50:44 2018 begin with 78518698 relations and 80604556 unique ideals
  69. Wed Sep 12 18:51:44 2018 reduce to 78385168 relations and 77401021 ideals in 9 passes
  70. Wed Sep 12 18:51:44 2018 max relations containing the same ideal: 194
  71. Wed Sep 12 18:52:18 2018 removing 3054126 relations and 2654126 ideals in 400000 cliques
  72. Wed Sep 12 18:52:19 2018 commencing in-memory singleton removal
  73. Wed Sep 12 18:52:26 2018 begin with 75331042 relations and 77401021 unique ideals
  74. Wed Sep 12 18:53:23 2018 reduce to 75222756 relations and 74637967 ideals in 9 passes
  75. Wed Sep 12 18:53:23 2018 max relations containing the same ideal: 192
  76. Wed Sep 12 18:53:56 2018 removing 667016 relations and 594807 ideals in 72209 cliques
  77. Wed Sep 12 18:53:57 2018 commencing in-memory singleton removal
  78. Wed Sep 12 18:54:03 2018 begin with 74555740 relations and 74637967 unique ideals
  79. Wed Sep 12 18:54:41 2018 reduce to 74550656 relations and 74038068 ideals in 6 passes
  80. Wed Sep 12 18:54:41 2018 max relations containing the same ideal: 192
  81. Wed Sep 12 18:54:56 2018 relations with 0 large ideals: 15932
  82. Wed Sep 12 18:54:56 2018 relations with 1 large ideals: 2050
  83. Wed Sep 12 18:54:56 2018 relations with 2 large ideals: 31764
  84. Wed Sep 12 18:54:56 2018 relations with 3 large ideals: 318408
  85. Wed Sep 12 18:54:56 2018 relations with 4 large ideals: 1802088
  86. Wed Sep 12 18:54:56 2018 relations with 5 large ideals: 6246562
  87. Wed Sep 12 18:54:56 2018 relations with 6 large ideals: 13827697
  88. Wed Sep 12 18:54:56 2018 relations with 7+ large ideals: 52306155
  89. Wed Sep 12 18:54:56 2018 commencing 2-way merge
  90. Wed Sep 12 18:55:45 2018 reduce to 47118986 relation sets and 46606398 unique ideals
  91. Wed Sep 12 18:55:45 2018 commencing full merge
  92. Wed Sep 12 19:10:39 2018 memory use: 5766.2 MB
  93. Wed Sep 12 19:10:43 2018 found 23024134 cycles, need 23014598
  94. Wed Sep 12 19:10:50 2018 weight of 23014598 cycles is about 2025735045 (88.02/cycle)
  95. Wed Sep 12 19:10:50 2018 distribution of cycle lengths:
  96. Wed Sep 12 19:10:50 2018 1 relations: 2647889
  97. Wed Sep 12 19:10:50 2018 2 relations: 2686566
  98. Wed Sep 12 19:10:50 2018 3 relations: 2563929
  99. Wed Sep 12 19:10:50 2018 4 relations: 2269998
  100. Wed Sep 12 19:10:50 2018 5 relations: 1971082
  101. Wed Sep 12 19:10:50 2018 6 relations: 1696759
  102. Wed Sep 12 19:10:50 2018 7 relations: 1427595
  103. Wed Sep 12 19:10:50 2018 8 relations: 1225172
  104. Wed Sep 12 19:10:50 2018 9 relations: 1046327
  105. Wed Sep 12 19:10:50 2018 10+ relations: 5479281
  106. Wed Sep 12 19:10:50 2018 heaviest cycle: 28 relations
  107. Wed Sep 12 19:10:55 2018 commencing cycle optimization
  108. Wed Sep 12 19:11:28 2018 start with 152945236 relations
  109. Wed Sep 12 19:15:34 2018 pruned 4293818 relations
  110. Wed Sep 12 19:15:36 2018 memory use: 4643.6 MB
  111. Wed Sep 12 19:15:36 2018 distribution of cycle lengths:
  112. Wed Sep 12 19:15:36 2018 1 relations: 2647889
  113. Wed Sep 12 19:15:36 2018 2 relations: 2746909
  114. Wed Sep 12 19:15:36 2018 3 relations: 2662186
  115. Wed Sep 12 19:15:36 2018 4 relations: 2329724
  116. Wed Sep 12 19:15:36 2018 5 relations: 2022120
  117. Wed Sep 12 19:15:36 2018 6 relations: 1717697
  118. Wed Sep 12 19:15:36 2018 7 relations: 1441694
  119. Wed Sep 12 19:15:36 2018 8 relations: 1221705
  120. Wed Sep 12 19:15:36 2018 9 relations: 1038032
  121. Wed Sep 12 19:15:36 2018 10+ relations: 5186642
  122. Wed Sep 12 19:15:36 2018 heaviest cycle: 28 relations
  123. Wed Sep 12 19:16:09 2018 RelProcTime: 4671
  124. Wed Sep 12 19:16:18 2018
  125. Wed Sep 12 19:16:18 2018 commencing linear algebra
  126. Wed Sep 12 19:16:19 2018 read 23014598 cycles
  127. Wed Sep 12 19:16:52 2018 cycles contain 74088166 unique relations
  128. Wed Sep 12 19:22:03 2018 read 74088166 relations
  129. Wed Sep 12 19:23:59 2018 using 20 quadratic characters above 4294917295
  130. Wed Sep 12 19:28:01 2018 building initial matrix
  131. Wed Sep 12 19:38:24 2018 memory use: 9822.7 MB
  132. Wed Sep 12 19:40:06 2018 read 23014598 cycles
  133. Wed Sep 12 19:40:09 2018 matrix is 23014421 x 23014598 (8430.7 MB) with weight 2509099609 (109.02/col)
  134. Wed Sep 12 19:40:09 2018 sparse part has weight 1956895628 (85.03/col)
  135. Wed Sep 12 19:44:29 2018 filtering completed in 2 passes
  136. Wed Sep 12 19:44:33 2018 matrix is 23013165 x 23013342 (8430.6 MB) with weight 2509055226 (109.03/col)
  137. Wed Sep 12 19:44:33 2018 sparse part has weight 1956884702 (85.03/col)
  138. Wed Sep 12 19:47:56 2018 matrix starts at (0, 0)
  139. Wed Sep 12 19:47:59 2018 matrix is 23013165 x 23013342 (8430.6 MB) with weight 2509055226 (109.03/col)
  140. Wed Sep 12 19:47:59 2018 sparse part has weight 1956884702 (85.03/col)
  141. Wed Sep 12 19:47:59 2018 saving the first 48 matrix rows for later
  142. Wed Sep 12 19:48:02 2018 matrix includes 64 packed rows
  143. Wed Sep 12 19:48:05 2018 matrix is 23013117 x 23013342 (8121.1 MB) with weight 2065440874 (89.75/col)
  144. Wed Sep 12 19:48:05 2018 sparse part has weight 1898770733 (82.51/col)
  145. Wed Sep 12 19:48:05 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  146. Wed Sep 12 19:49:10 2018 commencing Lanczos iteration (4 threads)
  147. Wed Sep 12 19:49:10 2018 memory use: 8003.0 MB
  148. Wed Sep 12 19:51:05 2018 linear algebra at 0.0%, ETA 464h 7m
  149. Wed Sep 12 19:51:41 2018 checkpointing every 50000 dimensions
  150. Thu Sep 13 13:03:07 2018 lanczos halted after 15000 iterations (dim = 948521)
  151. Thu Sep 13 13:03:08 2018 BLanczosTime: 64010
  152. Thu Sep 13 13:03:08 2018
  153. Thu Sep 13 13:03:08 2018 commencing square root phase
  154. Thu Sep 13 13:03:08 2018 handling dependencies 1 to 64
  155. Thu Sep 13 13:03:08 2018 reading relations for dependency 1
  156. Thu Sep 13 13:03:08 2018 error: read_cycles can't open dependency file
  157. Mon Sep 17 03:52:50 2018
  158. Mon Sep 17 03:52:50 2018
  159. Mon Sep 17 03:52:50 2018 Msieve v. 1.54 (SVN 1025)
  160. Mon Sep 17 03:52:50 2018 random seeds: 24c2e63c e4beb634
  161. Mon Sep 17 03:52:50 2018 factoring 80618562396984935580623859027901093408800599611923946658233231525493005483233781369300047153178992219590691911823783888072577697447227475180025849626735504489297896289167314117439 (179 digits)
  162. Mon Sep 17 03:52:51 2018 searching for 15-digit factors
  163. Mon Sep 17 03:52:51 2018 commencing number field sieve (179-digit input)
  164. Mon Sep 17 03:52:51 2018 R0: 52322939506884127873809971198569749391
  165. Mon Sep 17 03:52:51 2018 R1: -1
  166. Mon Sep 17 03:52:51 2018 A0: -1
  167. Mon Sep 17 03:52:51 2018 A1: 0
  168. Mon Sep 17 03:52:51 2018 A2: 0
  169. Mon Sep 17 03:52:51 2018 A3: 0
  170. Mon Sep 17 03:52:51 2018 A4: 0
  171. Mon Sep 17 03:52:51 2018 A5: 0
  172. Mon Sep 17 03:52:51 2018 A6: 3740221981231
  173. Mon Sep 17 03:52:51 2018 skew 0.01, size 7.790e-13, alpha -0.975, combined = 1.051e-13 rroots = 2
  174. Mon Sep 17 03:52:51 2018
  175. Mon Sep 17 03:52:51 2018 commencing linear algebra
  176. Mon Sep 17 03:52:51 2018 skipping matrix build
  177. Mon Sep 17 03:54:22 2018 matrix starts at (0, 0)
  178. Mon Sep 17 03:54:25 2018 matrix is 23013165 x 23013342 (8430.6 MB) with weight 2509055226 (109.03/col)
  179. Mon Sep 17 03:54:25 2018 sparse part has weight 1956884702 (85.03/col)
  180. Mon Sep 17 03:54:25 2018 saving the first 48 matrix rows for later
  181. Mon Sep 17 03:54:28 2018 matrix includes 64 packed rows
  182. Mon Sep 17 03:54:31 2018 matrix is 23013117 x 23013342 (8121.1 MB) with weight 2065440874 (89.75/col)
  183. Mon Sep 17 03:54:31 2018 sparse part has weight 1898770733 (82.51/col)
  184. Mon Sep 17 03:54:31 2018 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  185. Mon Sep 17 03:55:38 2018 commencing Lanczos iteration (4 threads)
  186. Mon Sep 17 03:55:38 2018 memory use: 8003.0 MB
  187. Mon Sep 17 03:55:47 2018 restarting at iteration 15577 (dim = 984986)
  188. Mon Sep 17 03:57:03 2018 checkpointing every 60000 dimensions
  189. Mon Sep 17 03:57:34 2018 linear algebra at 4.3%, ETA 431h51m
  190. Wed Oct 3 06:26:31 2018 lanczos halted after 363932 iterations (dim = 23013117)
  191. Wed Oct 3 06:26:51 2018 recovered 37 nontrivial dependencies
  192. Wed Oct 3 06:26:52 2018 BLanczosTime: 1391641
  193. Wed Oct 3 06:26:52 2018
  194. Wed Oct 3 06:26:52 2018 commencing square root phase
  195. Wed Oct 3 06:26:52 2018 handling dependencies 1 to 64
  196. Wed Oct 3 06:26:52 2018 reading relations for dependency 1
  197. Wed Oct 3 06:26:58 2018 read 11504522 cycles
  198. Wed Oct 3 06:27:12 2018 cycles contain 37038676 unique relations
  199. Wed Oct 3 06:30:26 2018 read 37038676 relations
  200. Wed Oct 3 06:32:36 2018 multiplying 37038676 relations
  201. Wed Oct 3 07:39:28 2018 multiply complete, coefficients have about 2362.00 million bits
  202. Wed Oct 3 07:39:35 2018 initial square root is modulo 198463
  203. Wed Oct 3 08:48:02 2018 GCD is N, no factor found
  204. Wed Oct 3 08:48:02 2018 reading relations for dependency 2
  205. Wed Oct 3 08:48:29 2018 read 11507165 cycles
  206. Wed Oct 3 08:48:43 2018 cycles contain 37045130 unique relations
  207. Wed Oct 3 08:53:14 2018 read 37045130 relations
  208. Wed Oct 3 08:55:25 2018 multiplying 37045130 relations
  209. Wed Oct 3 10:02:25 2018 multiply complete, coefficients have about 2362.43 million bits
  210. Wed Oct 3 10:02:31 2018 initial square root is modulo 198901
  211. Wed Oct 3 11:10:33 2018 sqrtTime: 17021
  212. Wed Oct 3 11:10:33 2018 p61 factor: 4617382650366303228130948926344661465056463888195944211296939
  213. Wed Oct 3 11:10:33 2018 p119 factor: 17459796707684461820397087216624671291738381788824601828930131854655036306069682368448833128483141964417691874392109501
  214. Wed Oct 3 11:10:33 2018 elapsed time 391:17:43
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