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C191_4440731591_23

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Aug 8th, 2017
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  1. Mon Jul 31 11:50:03 2017 Msieve v. 1.53 (SVN unknown)
  2. Mon Jul 31 11:50:03 2017 random seeds: 2b3daf81 a9a13f00
  3. Mon Jul 31 11:50:03 2017 factoring 19947745549179466411123477180198292576669859696921960022012438887766114836113435875503117706076524895073601628013972733623159871306811064732550107339068794030080752263204318751998659462601577 (191 digits)
  4. Mon Jul 31 11:50:04 2017 searching for 15-digit factors
  5. Mon Jul 31 11:50:05 2017 commencing number field sieve (191-digit input)
  6. Mon Jul 31 11:50:05 2017 R0: -388882228186185917376121079240510820961
  7. Mon Jul 31 11:50:05 2017 R1: 1
  8. Mon Jul 31 11:50:05 2017 A0: -4440731591
  9. Mon Jul 31 11:50:05 2017 A1: 0
  10. Mon Jul 31 11:50:05 2017 A2: 0
  11. Mon Jul 31 11:50:05 2017 A3: 0
  12. Mon Jul 31 11:50:05 2017 A4: 0
  13. Mon Jul 31 11:50:05 2017 A5: 0
  14. Mon Jul 31 11:50:05 2017 A6: 1
  15. Mon Jul 31 11:50:05 2017 skew 40.54, size 1.754e-12, alpha 1.811, combined = 1.889e-13 rroots = 2
  16. Mon Jul 31 11:50:05 2017
  17. Mon Jul 31 11:50:05 2017 commencing relation filtering
  18. Mon Jul 31 11:50:05 2017 setting target matrix density to 120.0
  19. Mon Jul 31 11:50:05 2017 estimated available RAM is 16003.1 MB
  20. Mon Jul 31 11:50:05 2017 commencing duplicate removal, pass 1
  21. Mon Jul 31 11:53:42 2017 error -9 reading relation 31408682
  22. Mon Jul 31 12:12:07 2017 skipped 1 relations with b > 2^32
  23. Mon Jul 31 12:12:07 2017 found 7877575 hash collisions in 189369676 relations
  24. Mon Jul 31 12:12:18 2017 commencing duplicate removal, pass 2
  25. Mon Jul 31 12:13:12 2017 found 0 duplicates and 189369676 unique relations
  26. Mon Jul 31 12:13:12 2017 memory use: 522.4 MB
  27. Mon Jul 31 12:13:12 2017 reading ideals above 144900096
  28. Mon Jul 31 12:13:12 2017 commencing singleton removal, initial pass
  29. Mon Jul 31 12:29:37 2017 memory use: 3012.0 MB
  30. Mon Jul 31 12:29:37 2017 reading all ideals from disk
  31. Mon Jul 31 12:29:43 2017 memory use: 3613.0 MB
  32. Mon Jul 31 12:29:50 2017 commencing in-memory singleton removal
  33. Mon Jul 31 12:29:56 2017 begin with 189369676 relations and 161364581 unique ideals
  34. Mon Jul 31 12:31:21 2017 reduce to 122038294 relations and 87173956 ideals in 16 passes
  35. Mon Jul 31 12:31:21 2017 max relations containing the same ideal: 37
  36. Mon Jul 31 12:31:27 2017 reading ideals above 720000
  37. Mon Jul 31 12:31:27 2017 commencing singleton removal, initial pass
  38. Mon Jul 31 12:44:53 2017 memory use: 2756.0 MB
  39. Mon Jul 31 12:44:54 2017 reading all ideals from disk
  40. Mon Jul 31 12:45:04 2017 memory use: 4891.0 MB
  41. Mon Jul 31 12:45:16 2017 keeping 102904492 ideals with weight <= 200, target excess is 623810
  42. Mon Jul 31 12:45:29 2017 commencing in-memory singleton removal
  43. Mon Jul 31 12:45:39 2017 begin with 122038295 relations and 102904492 unique ideals
  44. Mon Jul 31 12:47:02 2017 reduce to 122036728 relations and 102902925 ideals in 8 passes
  45. Mon Jul 31 12:47:02 2017 max relations containing the same ideal: 200
  46. Mon Jul 31 12:47:53 2017 removing 11308380 relations and 9308380 ideals in 2000000 cliques
  47. Mon Jul 31 12:47:56 2017 commencing in-memory singleton removal
  48. Mon Jul 31 12:48:05 2017 begin with 110728348 relations and 102902925 unique ideals
  49. Mon Jul 31 12:49:21 2017 reduce to 109967555 relations and 92818217 ideals in 8 passes
  50. Mon Jul 31 12:49:21 2017 max relations containing the same ideal: 197
  51. Mon Jul 31 12:50:07 2017 removing 8620594 relations and 6620594 ideals in 2000000 cliques
  52. Mon Jul 31 12:50:11 2017 commencing in-memory singleton removal
  53. Mon Jul 31 12:50:17 2017 begin with 101346961 relations and 92818217 unique ideals
  54. Mon Jul 31 12:51:24 2017 reduce to 100837239 relations and 85678621 ideals in 9 passes
  55. Mon Jul 31 12:51:24 2017 max relations containing the same ideal: 186
  56. Mon Jul 31 12:52:03 2017 removing 7801893 relations and 5801893 ideals in 2000000 cliques
  57. Mon Jul 31 12:52:06 2017 commencing in-memory singleton removal
  58. Mon Jul 31 12:52:12 2017 begin with 93035346 relations and 85678621 unique ideals
  59. Mon Jul 31 12:52:59 2017 reduce to 92582212 relations and 79415127 ideals in 7 passes
  60. Mon Jul 31 12:52:59 2017 max relations containing the same ideal: 176
  61. Mon Jul 31 12:53:34 2017 removing 7382905 relations and 5382905 ideals in 2000000 cliques
  62. Mon Jul 31 12:53:37 2017 commencing in-memory singleton removal
  63. Mon Jul 31 12:53:43 2017 begin with 85199307 relations and 79415127 unique ideals
  64. Mon Jul 31 12:54:25 2017 reduce to 84766410 relations and 73590868 ideals in 7 passes
  65. Mon Jul 31 12:54:25 2017 max relations containing the same ideal: 167
  66. Mon Jul 31 12:54:57 2017 removing 7123089 relations and 5123089 ideals in 2000000 cliques
  67. Mon Jul 31 12:55:00 2017 commencing in-memory singleton removal
  68. Mon Jul 31 12:55:05 2017 begin with 77643321 relations and 73590868 unique ideals
  69. Mon Jul 31 12:55:43 2017 reduce to 77213662 relations and 68029129 ideals in 7 passes
  70. Mon Jul 31 12:55:43 2017 max relations containing the same ideal: 158
  71. Mon Jul 31 12:56:12 2017 removing 6950255 relations and 4950255 ideals in 2000000 cliques
  72. Mon Jul 31 12:56:14 2017 commencing in-memory singleton removal
  73. Mon Jul 31 12:56:19 2017 begin with 70263407 relations and 68029129 unique ideals
  74. Mon Jul 31 12:56:53 2017 reduce to 69824196 relations and 62629898 ideals in 7 passes
  75. Mon Jul 31 12:56:53 2017 max relations containing the same ideal: 147
  76. Mon Jul 31 12:57:20 2017 removing 6829272 relations and 4829272 ideals in 2000000 cliques
  77. Mon Jul 31 12:57:22 2017 commencing in-memory singleton removal
  78. Mon Jul 31 12:57:26 2017 begin with 62994924 relations and 62629898 unique ideals
  79. Mon Jul 31 12:57:56 2017 reduce to 62530244 relations and 57324756 ideals in 7 passes
  80. Mon Jul 31 12:57:56 2017 max relations containing the same ideal: 138
  81. Mon Jul 31 12:58:20 2017 removing 6748708 relations and 4748708 ideals in 2000000 cliques
  82. Mon Jul 31 12:58:22 2017 commencing in-memory singleton removal
  83. Mon Jul 31 12:58:26 2017 begin with 55781536 relations and 57324756 unique ideals
  84. Mon Jul 31 12:58:52 2017 reduce to 55276818 relations and 52057573 ideals in 7 passes
  85. Mon Jul 31 12:58:52 2017 max relations containing the same ideal: 130
  86. Mon Jul 31 12:59:13 2017 removing 6714392 relations and 4714392 ideals in 2000000 cliques
  87. Mon Jul 31 12:59:15 2017 commencing in-memory singleton removal
  88. Mon Jul 31 12:59:18 2017 begin with 48562426 relations and 52057573 unique ideals
  89. Mon Jul 31 12:59:50 2017 reduce to 47985347 relations and 46748195 ideals in 10 passes
  90. Mon Jul 31 12:59:50 2017 max relations containing the same ideal: 115
  91. Mon Jul 31 13:00:08 2017 removing 2254253 relations and 1740721 ideals in 513532 cliques
  92. Mon Jul 31 13:00:10 2017 commencing in-memory singleton removal
  93. Mon Jul 31 13:00:12 2017 begin with 45731094 relations and 46748195 unique ideals
  94. Mon Jul 31 13:00:30 2017 reduce to 45660372 relations and 44936076 ideals in 6 passes
  95. Mon Jul 31 13:00:30 2017 max relations containing the same ideal: 111
  96. Mon Jul 31 13:00:54 2017 relations with 0 large ideals: 23552
  97. Mon Jul 31 13:00:54 2017 relations with 1 large ideals: 5716
  98. Mon Jul 31 13:00:54 2017 relations with 2 large ideals: 87356
  99. Mon Jul 31 13:00:54 2017 relations with 3 large ideals: 665707
  100. Mon Jul 31 13:00:54 2017 relations with 4 large ideals: 2789595
  101. Mon Jul 31 13:00:54 2017 relations with 5 large ideals: 7061294
  102. Mon Jul 31 13:00:54 2017 relations with 6 large ideals: 11279984
  103. Mon Jul 31 13:00:54 2017 relations with 7+ large ideals: 23747168
  104. Mon Jul 31 13:00:54 2017 commencing 2-way merge
  105. Mon Jul 31 13:01:16 2017 reduce to 30960990 relation sets and 30236694 unique ideals
  106. Mon Jul 31 13:01:16 2017 commencing full merge
  107. Mon Jul 31 13:11:52 2017 memory use: 3969.8 MB
  108. Mon Jul 31 13:11:55 2017 found 13852354 cycles, need 13836894
  109. Mon Jul 31 13:11:59 2017 weight of 13836894 cycles is about 1660892715 (120.03/cycle)
  110. Mon Jul 31 13:11:59 2017 distribution of cycle lengths:
  111. Mon Jul 31 13:11:59 2017 1 relations: 584227
  112. Mon Jul 31 13:11:59 2017 2 relations: 821020
  113. Mon Jul 31 13:11:59 2017 3 relations: 964038
  114. Mon Jul 31 13:11:59 2017 4 relations: 1001070
  115. Mon Jul 31 13:11:59 2017 5 relations: 1029409
  116. Mon Jul 31 13:11:59 2017 6 relations: 1015580
  117. Mon Jul 31 13:11:59 2017 7 relations: 996374
  118. Mon Jul 31 13:11:59 2017 8 relations: 948949
  119. Mon Jul 31 13:11:59 2017 9 relations: 893391
  120. Mon Jul 31 13:11:59 2017 10+ relations: 5582836
  121. Mon Jul 31 13:11:59 2017 heaviest cycle: 28 relations
  122. Mon Jul 31 13:12:02 2017 commencing cycle optimization
  123. Mon Jul 31 13:12:26 2017 start with 123603792 relations
  124. Mon Jul 31 13:16:40 2017 pruned 6018057 relations
  125. Mon Jul 31 13:16:40 2017 memory use: 3177.9 MB
  126. Mon Jul 31 13:16:40 2017 distribution of cycle lengths:
  127. Mon Jul 31 13:16:40 2017 1 relations: 584227
  128. Mon Jul 31 13:16:40 2017 2 relations: 842179
  129. Mon Jul 31 13:16:40 2017 3 relations: 1006524
  130. Mon Jul 31 13:16:40 2017 4 relations: 1045895
  131. Mon Jul 31 13:16:40 2017 5 relations: 1084664
  132. Mon Jul 31 13:16:40 2017 6 relations: 1068574
  133. Mon Jul 31 13:16:40 2017 7 relations: 1051715
  134. Mon Jul 31 13:16:40 2017 8 relations: 996722
  135. Mon Jul 31 13:16:40 2017 9 relations: 936024
  136. Mon Jul 31 13:16:40 2017 10+ relations: 5220370
  137. Mon Jul 31 13:16:40 2017 heaviest cycle: 28 relations
  138. Mon Jul 31 13:17:01 2017 RelProcTime: 5216
  139. Mon Jul 31 13:17:01 2017
  140. Mon Jul 31 13:17:01 2017 commencing linear algebra
  141. Mon Jul 31 13:17:06 2017 read 13836894 cycles
  142. Mon Jul 31 13:17:34 2017 cycles contain 45301893 unique relations
  143. Mon Jul 31 13:21:10 2017 read 45301893 relations
  144. Mon Jul 31 13:22:16 2017 using 20 quadratic characters above 4294917295
  145. Mon Jul 31 13:25:10 2017 building initial matrix
  146. Mon Jul 31 13:33:02 2017 memory use: 5962.5 MB
  147. Mon Jul 31 13:33:08 2017 read 13836894 cycles
  148. Mon Jul 31 13:33:09 2017 matrix is 13836717 x 13836894 (6421.4 MB) with weight 1851304259 (133.79/col)
  149. Mon Jul 31 13:33:09 2017 sparse part has weight 1544969483 (111.66/col)
  150. Mon Jul 31 13:35:52 2017 filtering completed in 2 passes
  151. Mon Jul 31 13:35:54 2017 matrix is 13836645 x 13836822 (6421.4 MB) with weight 1851301580 (133.80/col)
  152. Mon Jul 31 13:35:54 2017 sparse part has weight 1544968380 (111.66/col)
  153. Mon Jul 31 13:36:43 2017 matrix starts at (0, 0)
  154. Mon Jul 31 13:36:44 2017 matrix is 13836645 x 13836822 (6421.4 MB) with weight 1851301580 (133.80/col)
  155. Mon Jul 31 13:36:44 2017 sparse part has weight 1544968380 (111.66/col)
  156. Mon Jul 31 13:36:44 2017 saving the first 48 matrix rows for later
  157. Mon Jul 31 13:36:46 2017 matrix includes 64 packed rows
  158. Mon Jul 31 13:36:48 2017 matrix is 13836597 x 13836822 (6189.5 MB) with weight 1585593396 (114.59/col)
  159. Mon Jul 31 13:36:48 2017 sparse part has weight 1484172597 (107.26/col)
  160. Mon Jul 31 13:36:48 2017 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  161. Mon Jul 31 13:37:45 2017 commencing Lanczos iteration (4 threads)
  162. Mon Jul 31 13:37:45 2017 memory use: 5301.8 MB
  163. Mon Jul 31 13:38:59 2017 linear algebra at 0.0%, ETA 179h52m
  164. Mon Jul 31 13:39:22 2017 checkpointing every 80000 dimensions
  165. Sun Aug 6 15:00:24 2017 lanczos halted after 218811 iterations (dim = 13836595)
  166. Sun Aug 6 15:00:48 2017 recovered 37 nontrivial dependencies
  167. Sun Aug 6 15:00:48 2017 BLanczosTime: 524627
  168. Sun Aug 6 15:00:48 2017
  169. Sun Aug 6 15:00:48 2017 commencing square root phase
  170. Sun Aug 6 15:00:48 2017 handling dependencies 1 to 64
  171. Sun Aug 6 15:00:48 2017 reading relations for dependency 1
  172. Sun Aug 6 15:00:49 2017 read 6916379 cycles
  173. Sun Aug 6 15:01:01 2017 cycles contain 22642218 unique relations
  174. Sun Aug 6 15:02:58 2017 read 22642218 relations
  175. Sun Aug 6 15:04:14 2017 multiplying 22642218 relations
  176. Sun Aug 6 15:23:07 2017 multiply complete, coefficients have about 630.84 million bits
  177. Sun Aug 6 15:23:11 2017 initial square root is modulo 456763
  178. Sun Aug 6 15:45:59 2017 GCD is 1, no factor found
  179. Sun Aug 6 15:45:59 2017 reading relations for dependency 2
  180. Sun Aug 6 15:46:02 2017 read 6921499 cycles
  181. Sun Aug 6 15:46:18 2017 cycles contain 22655160 unique relations
  182. Sun Aug 6 15:48:55 2017 read 22655160 relations
  183. Sun Aug 6 15:50:45 2017 multiplying 22655160 relations
  184. Sun Aug 6 16:12:02 2017 multiply complete, coefficients have about 631.19 million bits
  185. Sun Aug 6 16:12:05 2017 initial square root is modulo 459961
  186. Sun Aug 6 16:34:58 2017 GCD is 1, no factor found
  187. Sun Aug 6 16:34:58 2017 reading relations for dependency 3
  188. Sun Aug 6 16:35:00 2017 read 6918077 cycles
  189. Sun Aug 6 16:35:15 2017 cycles contain 22649758 unique relations
  190. Sun Aug 6 16:37:51 2017 read 22649758 relations
  191. Sun Aug 6 16:39:39 2017 multiplying 22649758 relations
  192. Sun Aug 6 17:00:50 2017 multiply complete, coefficients have about 631.05 million bits
  193. Sun Aug 6 17:00:53 2017 initial square root is modulo 458959
  194. Sun Aug 6 17:23:48 2017 sqrtTime: 8580
  195. Sun Aug 6 17:23:48 2017 p68 factor: 18304940862557155682124559619587940251467236504111061395809991967649
  196. Sun Aug 6 17:23:48 2017 p124 factor: 1089746517017308457617011866917844590194568455489511539709631347999828438485672806259496481460940706836505348851998238556873
  197. Sun Aug 6 17:23:48 2017 elapsed time 149:33:45
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