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Jun 6th, 2017
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  1. Thu Jun 1 20:28:22 2017 Msieve v. 1.53 (SVN unknown)
  2. Thu Jun 1 20:28:22 2017 random seeds: b3574260 b4ef1fad
  3. Thu Jun 1 20:28:22 2017 factoring 76168789033078306528545510523783851836825949741968982499279727789871412694249124010078841499570187735718916285158940989141405074631832098698287693088761942446767032814304058444846489745122492050123 (197 digits)
  4. Thu Jun 1 20:28:23 2017 searching for 15-digit factors
  5. Thu Jun 1 20:28:24 2017 commencing number field sieve (197-digit input)
  6. Thu Jun 1 20:28:24 2017 R0: -73607717520239639878892572595537274407521
  7. Thu Jun 1 20:28:24 2017 R1: 1
  8. Thu Jun 1 20:28:24 2017 A0: -128341
  9. Thu Jun 1 20:28:24 2017 A1: 0
  10. Thu Jun 1 20:28:24 2017 A2: 0
  11. Thu Jun 1 20:28:24 2017 A3: 0
  12. Thu Jun 1 20:28:24 2017 A4: 0
  13. Thu Jun 1 20:28:24 2017 A5: 0
  14. Thu Jun 1 20:28:24 2017 A6: 1
  15. Thu Jun 1 20:28:24 2017 skew 7.10, size 2.927e-12, alpha -0.871, combined = 2.634e-13 rroots = 2
  16. Thu Jun 1 20:28:24 2017
  17. Thu Jun 1 20:28:24 2017 commencing relation filtering
  18. Thu Jun 1 20:28:24 2017 setting target matrix density to 116.0
  19. Thu Jun 1 20:28:24 2017 estimated available RAM is 16003.1 MB
  20. Thu Jun 1 20:28:24 2017 commencing duplicate removal, pass 1
  21. Thu Jun 1 20:58:26 2017 skipped 5 relations with b > 2^32
  22. Thu Jun 1 20:58:26 2017 found 6824300 hash collisions in 175905506 relations
  23. Thu Jun 1 20:58:44 2017 added 1218135 free relations
  24. Thu Jun 1 20:58:44 2017 commencing duplicate removal, pass 2
  25. Thu Jun 1 21:01:28 2017 found 0 duplicates and 177123641 unique relations
  26. Thu Jun 1 21:01:28 2017 memory use: 522.4 MB
  27. Thu Jun 1 21:01:28 2017 reading ideals above 134021120
  28. Thu Jun 1 21:01:28 2017 commencing singleton removal, initial pass
  29. Thu Jun 1 21:26:05 2017 memory use: 3012.0 MB
  30. Thu Jun 1 21:26:05 2017 reading all ideals from disk
  31. Thu Jun 1 21:26:28 2017 memory use: 3166.1 MB
  32. Thu Jun 1 21:26:39 2017 commencing in-memory singleton removal
  33. Thu Jun 1 21:26:49 2017 begin with 177123641 relations and 155881266 unique ideals
  34. Thu Jun 1 21:28:43 2017 reduce to 103422541 relations and 73456240 ideals in 15 passes
  35. Thu Jun 1 21:28:43 2017 max relations containing the same ideal: 37
  36. Thu Jun 1 21:28:51 2017 reading ideals above 720000
  37. Thu Jun 1 21:28:51 2017 commencing singleton removal, initial pass
  38. Thu Jun 1 21:49:09 2017 memory use: 2756.0 MB
  39. Thu Jun 1 21:49:09 2017 reading all ideals from disk
  40. Thu Jun 1 21:49:39 2017 memory use: 4052.9 MB
  41. Thu Jun 1 21:49:56 2017 keeping 88109841 ideals with weight <= 200, target excess is 527282
  42. Thu Jun 1 21:50:13 2017 commencing in-memory singleton removal
  43. Thu Jun 1 21:50:26 2017 begin with 103422541 relations and 88109841 unique ideals
  44. Thu Jun 1 21:51:45 2017 reduce to 103421547 relations and 88108847 ideals in 6 passes
  45. Thu Jun 1 21:51:45 2017 max relations containing the same ideal: 200
  46. Thu Jun 1 21:52:58 2017 removing 11760246 relations and 9760246 ideals in 2000000 cliques
  47. Thu Jun 1 21:53:02 2017 commencing in-memory singleton removal
  48. Thu Jun 1 21:53:15 2017 begin with 91661301 relations and 88108847 unique ideals
  49. Thu Jun 1 21:55:00 2017 reduce to 90683018 relations and 77346221 ideals in 9 passes
  50. Thu Jun 1 21:55:00 2017 max relations containing the same ideal: 193
  51. Thu Jun 1 21:56:04 2017 removing 8899675 relations and 6899675 ideals in 2000000 cliques
  52. Thu Jun 1 21:56:08 2017 commencing in-memory singleton removal
  53. Thu Jun 1 21:56:17 2017 begin with 81783343 relations and 77346221 unique ideals
  54. Thu Jun 1 21:57:35 2017 reduce to 81126218 relations and 69775033 ideals in 8 passes
  55. Thu Jun 1 21:57:35 2017 max relations containing the same ideal: 179
  56. Thu Jun 1 21:58:30 2017 removing 8038209 relations and 6038209 ideals in 2000000 cliques
  57. Thu Jun 1 21:58:34 2017 commencing in-memory singleton removal
  58. Thu Jun 1 21:58:43 2017 begin with 73088009 relations and 69775033 unique ideals
  59. Thu Jun 1 21:59:43 2017 reduce to 72495918 relations and 63131502 ideals in 7 passes
  60. Thu Jun 1 21:59:43 2017 max relations containing the same ideal: 167
  61. Thu Jun 1 22:00:34 2017 removing 7602472 relations and 5602472 ideals in 2000000 cliques
  62. Thu Jun 1 22:00:38 2017 commencing in-memory singleton removal
  63. Thu Jun 1 22:00:46 2017 begin with 64893446 relations and 63131502 unique ideals
  64. Thu Jun 1 22:01:46 2017 reduce to 64317729 relations and 56938944 ideals in 8 passes
  65. Thu Jun 1 22:01:46 2017 max relations containing the same ideal: 158
  66. Thu Jun 1 22:02:32 2017 removing 7330950 relations and 5330950 ideals in 2000000 cliques
  67. Thu Jun 1 22:02:35 2017 commencing in-memory singleton removal
  68. Thu Jun 1 22:02:41 2017 begin with 56986779 relations and 56938944 unique ideals
  69. Thu Jun 1 22:03:32 2017 reduce to 56398655 relations and 51003865 ideals in 8 passes
  70. Thu Jun 1 22:03:32 2017 max relations containing the same ideal: 145
  71. Thu Jun 1 22:04:12 2017 removing 7142842 relations and 5142842 ideals in 2000000 cliques
  72. Thu Jun 1 22:04:15 2017 commencing in-memory singleton removal
  73. Thu Jun 1 22:04:21 2017 begin with 49255813 relations and 51003865 unique ideals
  74. Thu Jun 1 22:05:01 2017 reduce to 48629295 relations and 45215403 ideals in 8 passes
  75. Thu Jun 1 22:05:01 2017 max relations containing the same ideal: 133
  76. Thu Jun 1 22:05:34 2017 removing 7014947 relations and 5014947 ideals in 2000000 cliques
  77. Thu Jun 1 22:05:37 2017 commencing in-memory singleton removal
  78. Thu Jun 1 22:05:41 2017 begin with 41614348 relations and 45215403 unique ideals
  79. Thu Jun 1 22:06:10 2017 reduce to 40915947 relations and 39477463 ideals in 7 passes
  80. Thu Jun 1 22:06:10 2017 max relations containing the same ideal: 118
  81. Thu Jun 1 22:06:37 2017 removing 3444025 relations and 2617189 ideals in 826836 cliques
  82. Thu Jun 1 22:06:40 2017 commencing in-memory singleton removal
  83. Thu Jun 1 22:06:44 2017 begin with 37471922 relations and 39477463 unique ideals
  84. Thu Jun 1 22:07:10 2017 reduce to 37277340 relations and 36662155 ideals in 7 passes
  85. Thu Jun 1 22:07:10 2017 max relations containing the same ideal: 107
  86. Thu Jun 1 22:07:42 2017 relations with 0 large ideals: 20250
  87. Thu Jun 1 22:07:42 2017 relations with 1 large ideals: 5551
  88. Thu Jun 1 22:07:42 2017 relations with 2 large ideals: 76457
  89. Thu Jun 1 22:07:42 2017 relations with 3 large ideals: 583961
  90. Thu Jun 1 22:07:42 2017 relations with 4 large ideals: 2427780
  91. Thu Jun 1 22:07:42 2017 relations with 5 large ideals: 6049209
  92. Thu Jun 1 22:07:42 2017 relations with 6 large ideals: 9446195
  93. Thu Jun 1 22:07:42 2017 relations with 7+ large ideals: 18667937
  94. Thu Jun 1 22:07:42 2017 commencing 2-way merge
  95. Thu Jun 1 22:08:12 2017 reduce to 24433771 relation sets and 23818586 unique ideals
  96. Thu Jun 1 22:08:12 2017 commencing full merge
  97. Thu Jun 1 22:19:54 2017 memory use: 3164.6 MB
  98. Thu Jun 1 22:19:57 2017 found 11089519 cycles, need 11072786
  99. Thu Jun 1 22:20:01 2017 weight of 11072786 cycles is about 1284671062 (116.02/cycle)
  100. Thu Jun 1 22:20:01 2017 distribution of cycle lengths:
  101. Thu Jun 1 22:20:01 2017 1 relations: 489519
  102. Thu Jun 1 22:20:01 2017 2 relations: 692236
  103. Thu Jun 1 22:20:01 2017 3 relations: 806091
  104. Thu Jun 1 22:20:01 2017 4 relations: 827275
  105. Thu Jun 1 22:20:01 2017 5 relations: 844461
  106. Thu Jun 1 22:20:01 2017 6 relations: 822534
  107. Thu Jun 1 22:20:01 2017 7 relations: 801685
  108. Thu Jun 1 22:20:01 2017 8 relations: 759319
  109. Thu Jun 1 22:20:01 2017 9 relations: 712061
  110. Thu Jun 1 22:20:01 2017 10+ relations: 4317605
  111. Thu Jun 1 22:20:01 2017 heaviest cycle: 28 relations
  112. Thu Jun 1 22:20:05 2017 commencing cycle optimization
  113. Thu Jun 1 22:20:33 2017 start with 96903780 relations
  114. Thu Jun 1 22:25:03 2017 pruned 4292713 relations
  115. Thu Jun 1 22:25:03 2017 memory use: 2551.2 MB
  116. Thu Jun 1 22:25:03 2017 distribution of cycle lengths:
  117. Thu Jun 1 22:25:03 2017 1 relations: 489519
  118. Thu Jun 1 22:25:03 2017 2 relations: 709116
  119. Thu Jun 1 22:25:03 2017 3 relations: 840270
  120. Thu Jun 1 22:25:03 2017 4 relations: 860948
  121. Thu Jun 1 22:25:03 2017 5 relations: 885387
  122. Thu Jun 1 22:25:03 2017 6 relations: 860317
  123. Thu Jun 1 22:25:03 2017 7 relations: 840042
  124. Thu Jun 1 22:25:03 2017 8 relations: 792600
  125. Thu Jun 1 22:25:03 2017 9 relations: 740908
  126. Thu Jun 1 22:25:03 2017 10+ relations: 4053679
  127. Thu Jun 1 22:25:03 2017 heaviest cycle: 28 relations
  128. Thu Jun 1 22:25:36 2017 RelProcTime: 7032
  129. Thu Jun 1 22:25:36 2017 elapsed time 01:57:14
  130. Fri Jun 2 11:46:32 2017
  131. Fri Jun 2 11:46:32 2017
  132. Fri Jun 2 11:46:32 2017 Msieve v. 1.53 (SVN unknown)
  133. Fri Jun 2 11:46:32 2017 random seeds: 4c906540 8aa00f47
  134. Fri Jun 2 11:46:32 2017 factoring 76168789033078306528545510523783851836825949741968982499279727789871412694249124010078841499570187735718916285158940989141405074631832098698287693088761942446767032814304058444846489745122492050123 (197 digits)
  135. Fri Jun 2 11:46:33 2017 searching for 15-digit factors
  136. Fri Jun 2 11:46:33 2017 commencing number field sieve (197-digit input)
  137. Fri Jun 2 11:46:33 2017 R0: -73607717520239639878892572595537274407521
  138. Fri Jun 2 11:46:33 2017 R1: 1
  139. Fri Jun 2 11:46:33 2017 A0: -128341
  140. Fri Jun 2 11:46:33 2017 A1: 0
  141. Fri Jun 2 11:46:33 2017 A2: 0
  142. Fri Jun 2 11:46:33 2017 A3: 0
  143. Fri Jun 2 11:46:33 2017 A4: 0
  144. Fri Jun 2 11:46:33 2017 A5: 0
  145. Fri Jun 2 11:46:33 2017 A6: 1
  146. Fri Jun 2 11:46:33 2017 skew 7.10, size 2.927e-12, alpha -0.871, combined = 2.634e-13 rroots = 2
  147. Fri Jun 2 11:46:33 2017
  148. Fri Jun 2 11:46:33 2017 commencing linear algebra
  149. Fri Jun 2 11:46:34 2017 read 11072786 cycles
  150. Fri Jun 2 11:46:56 2017 cycles contain 36911934 unique relations
  151. Fri Jun 2 11:50:41 2017 read 36911934 relations
  152. Fri Jun 2 11:51:51 2017 using 20 quadratic characters above 4294917295
  153. Fri Jun 2 11:54:18 2017 building initial matrix
  154. Fri Jun 2 12:01:27 2017 memory use: 4916.7 MB
  155. Fri Jun 2 12:01:31 2017 read 11072786 cycles
  156. Fri Jun 2 12:01:33 2017 matrix is 11072609 x 11072786 (5048.1 MB) with weight 1482229537 (133.86/col)
  157. Fri Jun 2 12:01:33 2017 sparse part has weight 1201541141 (108.51/col)
  158. Fri Jun 2 12:03:34 2017 filtering completed in 2 passes
  159. Fri Jun 2 12:03:36 2017 matrix is 11072499 x 11072676 (5048.1 MB) with weight 1482225691 (133.86/col)
  160. Fri Jun 2 12:03:36 2017 sparse part has weight 1201540227 (108.51/col)
  161. Fri Jun 2 12:05:16 2017 matrix starts at (0, 0)
  162. Fri Jun 2 12:05:18 2017 matrix is 11072499 x 11072676 (5048.1 MB) with weight 1482225691 (133.86/col)
  163. Fri Jun 2 12:05:18 2017 sparse part has weight 1201540227 (108.51/col)
  164. Fri Jun 2 12:05:18 2017 saving the first 48 matrix rows for later
  165. Fri Jun 2 12:05:19 2017 matrix includes 64 packed rows
  166. Fri Jun 2 12:05:21 2017 matrix is 11072451 x 11072676 (4865.2 MB) with weight 1264135640 (114.17/col)
  167. Fri Jun 2 12:05:21 2017 sparse part has weight 1164665511 (105.18/col)
  168. Fri Jun 2 12:05:21 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  169. Fri Jun 2 12:06:05 2017 commencing Lanczos iteration (4 threads)
  170. Fri Jun 2 12:06:05 2017 memory use: 4139.7 MB
  171. Fri Jun 2 12:06:57 2017 linear algebra at 0.0%, ETA 101h 5m
  172. Fri Jun 2 12:07:14 2017 checkpointing every 110000 dimensions
  173. Sat Jun 3 21:03:40 2017
  174. Sat Jun 3 21:03:40 2017
  175. Sat Jun 3 21:03:40 2017 Msieve v. 1.53 (SVN unknown)
  176. Sat Jun 3 21:03:40 2017 random seeds: 66ef4ce5 55bc215a
  177. Sat Jun 3 21:03:40 2017 factoring 76168789033078306528545510523783851836825949741968982499279727789871412694249124010078841499570187735718916285158940989141405074631832098698287693088761942446767032814304058444846489745122492050123 (197 digits)
  178. Sat Jun 3 21:03:41 2017 searching for 15-digit factors
  179. Sat Jun 3 21:03:41 2017 commencing number field sieve (197-digit input)
  180. Sat Jun 3 21:03:41 2017 R0: -73607717520239639878892572595537274407521
  181. Sat Jun 3 21:03:41 2017 R1: 1
  182. Sat Jun 3 21:03:41 2017 A0: -128341
  183. Sat Jun 3 21:03:41 2017 A1: 0
  184. Sat Jun 3 21:03:41 2017 A2: 0
  185. Sat Jun 3 21:03:41 2017 A3: 0
  186. Sat Jun 3 21:03:41 2017 A4: 0
  187. Sat Jun 3 21:03:41 2017 A5: 0
  188. Sat Jun 3 21:03:41 2017 A6: 1
  189. Sat Jun 3 21:03:41 2017 skew 7.10, size 2.927e-12, alpha -0.871, combined = 2.634e-13 rroots = 2
  190. Sat Jun 3 21:03:41 2017
  191. Sat Jun 3 21:03:41 2017 commencing linear algebra
  192. Sat Jun 3 21:03:41 2017 skipping matrix build
  193. Sat Jun 3 21:04:28 2017 matrix starts at (0, 0)
  194. Sat Jun 3 21:04:29 2017 matrix is 11072499 x 11072676 (5048.1 MB) with weight 1482225691 (133.86/col)
  195. Sat Jun 3 21:04:29 2017 sparse part has weight 1201540227 (108.51/col)
  196. Sat Jun 3 21:04:29 2017 saving the first 48 matrix rows for later
  197. Sat Jun 3 21:04:31 2017 matrix includes 64 packed rows
  198. Sat Jun 3 21:04:32 2017 matrix is 11072451 x 11072676 (4865.2 MB) with weight 1264135640 (114.17/col)
  199. Sat Jun 3 21:04:32 2017 sparse part has weight 1164665511 (105.18/col)
  200. Sat Jun 3 21:04:32 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  201. Sat Jun 3 21:05:16 2017 commencing Lanczos iteration (4 threads)
  202. Sat Jun 3 21:05:16 2017 memory use: 4139.7 MB
  203. Sat Jun 3 21:05:19 2017 restarting at iteration 57401 (dim = 3630006)
  204. Sat Jun 3 21:06:04 2017 linear algebra at 32.8%, ETA 61h 4m
  205. Sat Jun 3 21:06:19 2017 checkpointing every 130000 dimensions
  206. Tue Jun 6 05:42:56 2017 lanczos halted after 175100 iterations (dim = 11072445)
  207. Tue Jun 6 05:43:16 2017 recovered 31 nontrivial dependencies
  208. Tue Jun 6 05:43:16 2017 BLanczosTime: 203975
  209. Tue Jun 6 05:43:16 2017
  210. Tue Jun 6 05:43:16 2017 commencing square root phase
  211. Tue Jun 6 05:43:16 2017 handling dependencies 1 to 64
  212. Tue Jun 6 05:43:16 2017 reading relations for dependency 1
  213. Tue Jun 6 05:43:19 2017 read 5539814 cycles
  214. Tue Jun 6 05:43:28 2017 cycles contain 18463866 unique relations
  215. Tue Jun 6 05:45:46 2017 read 18463866 relations
  216. Tue Jun 6 05:46:50 2017 multiplying 18463866 relations
  217. Tue Jun 6 05:58:07 2017 multiply complete, coefficients have about 486.30 million bits
  218. Tue Jun 6 05:58:09 2017 initial square root is modulo 531833371
  219. Tue Jun 6 06:10:02 2017 sqrtTime: 1606
  220. Tue Jun 6 06:10:02 2017 p96 factor: 657108078029346655399091284465980148842276635597509158534125757148709892984873757359860826313193
  221. Tue Jun 6 06:10:02 2017 p102 factor: 115915161569017546344103173820085214780022677858131454927806051787376078785325836022612335559728485011
  222. Tue Jun 6 06:10:02 2017 elapsed time 57:06:22
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