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Jul 29th, 2017
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  1. Wed Jul 26 08:38:18 2017
  2. Wed Jul 26 08:38:18 2017 Msieve v. 1.53 (SVN unknown)
  3. Wed Jul 26 08:38:18 2017 random seeds: 0db14927 36798c35
  4. Wed Jul 26 08:38:18 2017 factoring 6812705581997627677120549500087957251265885151638027348637001979562879437680270930104180355867537729315934935127814988992396033962567217970919241520576836109473807185162725539805716963371326262786474133183 (205 digits)
  5. Wed Jul 26 08:38:21 2017 searching for 15-digit factors
  6. Wed Jul 26 08:38:23 2017 commencing number field sieve (205-digit input)
  7. Wed Jul 26 08:38:23 2017 R0: 619473564657564612496942929010663141
  8. Wed Jul 26 08:38:23 2017 R1: -1
  9. Wed Jul 26 08:38:23 2017 A0: -1
  10. Wed Jul 26 08:38:23 2017 A1: 0
  11. Wed Jul 26 08:38:23 2017 A2: 0
  12. Wed Jul 26 08:38:23 2017 A3: 0
  13. Wed Jul 26 08:38:23 2017 A4: 0
  14. Wed Jul 26 08:38:23 2017 A5: 0
  15. Wed Jul 26 08:38:23 2017 A6: 852460489981
  16. Wed Jul 26 08:38:23 2017 skew 0.01, size 3.592e-12, alpha -1.026, combined = 3.160e-13 rroots = 2
  17. Wed Jul 26 08:38:23 2017
  18. Wed Jul 26 08:38:23 2017 commencing relation filtering
  19. Wed Jul 26 08:38:23 2017 setting target matrix density to 120.0
  20. Wed Jul 26 08:38:23 2017 estimated available RAM is 16001.8 MB
  21. Wed Jul 26 08:38:23 2017 commencing duplicate removal, pass 1
  22. Wed Jul 26 08:58:54 2017 error -11 reading relation 104653736
  23. Wed Jul 26 08:58:54 2017 error -11 reading relation 104653737
  24. Wed Jul 26 08:58:54 2017 error -1 reading relation 104653738
  25. [ . . . removed 8300 error (mostly) -11 records . . . ]
  26. Wed Jul 26 08:58:56 2017 error -15 reading relation 104663551
  27. Wed Jul 26 08:58:56 2017 error -11 reading relation 104663552
  28. Wed Jul 26 08:58:56 2017 error -11 reading relation 104663553
  29. Wed Jul 26 08:58:56 2017 error -11 reading relation 104663554
  30. Wed Jul 26 08:58:56 2017 error -11 reading relation 104663556
  31. Wed Jul 26 09:17:10 2017 skipped 72125 relations with b > 2^32
  32. Wed Jul 26 09:17:10 2017 skipped 1468 relations with composite factors
  33. Wed Jul 26 09:17:10 2017 found 8205555 hash collisions in 193369291 relations
  34. Wed Jul 26 09:17:30 2017 commencing duplicate removal, pass 2
  35. Wed Jul 26 09:20:28 2017 found 6 duplicates and 193369285 unique relations
  36. Wed Jul 26 09:20:28 2017 memory use: 522.4 MB
  37. Wed Jul 26 09:20:28 2017 reading ideals above 149880832
  38. Wed Jul 26 09:20:28 2017 commencing singleton removal, initial pass
  39. Wed Jul 26 09:52:51 2017 memory use: 3012.0 MB
  40. Wed Jul 26 09:52:51 2017 reading all ideals from disk
  41. Wed Jul 26 09:53:17 2017 memory use: 3243.5 MB
  42. Wed Jul 26 09:53:26 2017 commencing in-memory singleton removal
  43. Wed Jul 26 09:53:36 2017 begin with 193369285 relations and 158171029 unique ideals
  44. Wed Jul 26 09:55:47 2017 reduce to 125176640 relations and 82957191 ideals in 14 passes
  45. Wed Jul 26 09:55:47 2017 max relations containing the same ideal: 42
  46. Wed Jul 26 09:55:56 2017 reading ideals above 720000
  47. Wed Jul 26 09:55:56 2017 commencing singleton removal, initial pass
  48. Wed Jul 26 10:23:25 2017 memory use: 2756.0 MB
  49. Wed Jul 26 10:23:25 2017 reading all ideals from disk
  50. Wed Jul 26 10:24:09 2017 memory use: 4864.9 MB
  51. Wed Jul 26 10:24:25 2017 keeping 99199866 ideals with weight <= 200, target excess is 634749
  52. Wed Jul 26 10:24:46 2017 commencing in-memory singleton removal
  53. Wed Jul 26 10:25:01 2017 begin with 125176640 relations and 99199866 unique ideals
  54. Wed Jul 26 10:27:29 2017 reduce to 125168604 relations and 99191830 ideals in 8 passes
  55. Wed Jul 26 10:27:29 2017 max relations containing the same ideal: 200
  56. Wed Jul 26 10:28:44 2017 removing 10714834 relations and 8714834 ideals in 2000000 cliques
  57. Wed Jul 26 10:28:49 2017 commencing in-memory singleton removal
  58. Wed Jul 26 10:29:01 2017 begin with 114453770 relations and 99191830 unique ideals
  59. Wed Jul 26 10:31:20 2017 reduce to 113784354 relations and 89794154 ideals in 8 passes
  60. Wed Jul 26 10:31:20 2017 max relations containing the same ideal: 196
  61. Wed Jul 26 10:32:31 2017 removing 8132480 relations and 6132480 ideals in 2000000 cliques
  62. Wed Jul 26 10:32:36 2017 commencing in-memory singleton removal
  63. Wed Jul 26 10:32:46 2017 begin with 105651874 relations and 89794154 unique ideals
  64. Wed Jul 26 10:34:32 2017 reduce to 105204086 relations and 83205976 ideals in 7 passes
  65. Wed Jul 26 10:34:32 2017 max relations containing the same ideal: 189
  66. Wed Jul 26 10:35:35 2017 removing 7373500 relations and 5373500 ideals in 2000000 cliques
  67. Wed Jul 26 10:35:39 2017 commencing in-memory singleton removal
  68. Wed Jul 26 10:35:50 2017 begin with 97830586 relations and 83205976 unique ideals
  69. Wed Jul 26 10:37:24 2017 reduce to 97435202 relations and 77430120 ideals in 7 passes
  70. Wed Jul 26 10:37:24 2017 max relations containing the same ideal: 181
  71. Wed Jul 26 10:38:22 2017 removing 6983008 relations and 4983008 ideals in 2000000 cliques
  72. Wed Jul 26 10:38:27 2017 commencing in-memory singleton removal
  73. Wed Jul 26 10:38:36 2017 begin with 90452194 relations and 77430120 unique ideals
  74. Wed Jul 26 10:39:54 2017 reduce to 90079408 relations and 72067477 ideals in 6 passes
  75. Wed Jul 26 10:39:54 2017 max relations containing the same ideal: 174
  76. Wed Jul 26 10:40:48 2017 removing 6745125 relations and 4745125 ideals in 2000000 cliques
  77. Wed Jul 26 10:40:53 2017 commencing in-memory singleton removal
  78. Wed Jul 26 10:41:01 2017 begin with 83334283 relations and 72067477 unique ideals
  79. Wed Jul 26 10:42:23 2017 reduce to 82968403 relations and 66949094 ideals in 7 passes
  80. Wed Jul 26 10:42:23 2017 max relations containing the same ideal: 163
  81. Wed Jul 26 10:43:15 2017 removing 6582591 relations and 4582591 ideals in 2000000 cliques
  82. Wed Jul 26 10:43:19 2017 commencing in-memory singleton removal
  83. Wed Jul 26 10:43:26 2017 begin with 76385812 relations and 66949094 unique ideals
  84. Wed Jul 26 10:44:40 2017 reduce to 76016789 relations and 61989715 ideals in 7 passes
  85. Wed Jul 26 10:44:40 2017 max relations containing the same ideal: 154
  86. Wed Jul 26 10:45:25 2017 removing 6471954 relations and 4471954 ideals in 2000000 cliques
  87. Wed Jul 26 10:45:28 2017 commencing in-memory singleton removal
  88. Wed Jul 26 10:45:36 2017 begin with 69544835 relations and 61989715 unique ideals
  89. Wed Jul 26 10:46:43 2017 reduce to 69165854 relations and 57130061 ideals in 7 passes
  90. Wed Jul 26 10:46:43 2017 max relations containing the same ideal: 145
  91. Wed Jul 26 10:47:26 2017 removing 6393252 relations and 4393252 ideals in 2000000 cliques
  92. Wed Jul 26 10:47:30 2017 commencing in-memory singleton removal
  93. Wed Jul 26 10:47:36 2017 begin with 62772602 relations and 57130061 unique ideals
  94. Wed Jul 26 10:48:37 2017 reduce to 62373376 relations and 52327596 ideals in 7 passes
  95. Wed Jul 26 10:48:37 2017 max relations containing the same ideal: 136
  96. Wed Jul 26 10:49:15 2017 removing 6343088 relations and 4343088 ideals in 2000000 cliques
  97. Wed Jul 26 10:49:18 2017 commencing in-memory singleton removal
  98. Wed Jul 26 10:49:23 2017 begin with 56030288 relations and 52327596 unique ideals
  99. Wed Jul 26 10:50:16 2017 reduce to 55604148 relations and 47546678 ideals in 7 passes
  100. Wed Jul 26 10:50:16 2017 max relations containing the same ideal: 125
  101. Wed Jul 26 10:50:50 2017 removing 6305066 relations and 4305066 ideals in 2000000 cliques
  102. Wed Jul 26 10:50:53 2017 commencing in-memory singleton removal
  103. Wed Jul 26 10:50:57 2017 begin with 49299082 relations and 47546678 unique ideals
  104. Wed Jul 26 10:51:43 2017 reduce to 48830897 relations and 42759276 ideals in 7 passes
  105. Wed Jul 26 10:51:43 2017 max relations containing the same ideal: 115
  106. Wed Jul 26 10:52:11 2017 removing 6294868 relations and 4294868 ideals in 2000000 cliques
  107. Wed Jul 26 10:52:14 2017 commencing in-memory singleton removal
  108. Wed Jul 26 10:52:18 2017 begin with 42536029 relations and 42759276 unique ideals
  109. Wed Jul 26 10:53:01 2017 reduce to 42013622 relations and 37923831 ideals in 8 passes
  110. Wed Jul 26 10:53:01 2017 max relations containing the same ideal: 101
  111. Wed Jul 26 10:53:27 2017 removing 6290831 relations and 4290831 ideals in 2000000 cliques
  112. Wed Jul 26 10:53:30 2017 commencing in-memory singleton removal
  113. Wed Jul 26 10:53:33 2017 begin with 35722791 relations and 37923831 unique ideals
  114. Wed Jul 26 10:54:07 2017 reduce to 35113721 relations and 32999508 ideals in 8 passes
  115. Wed Jul 26 10:54:07 2017 max relations containing the same ideal: 89
  116. Wed Jul 26 10:54:30 2017 removing 4659801 relations and 3281897 ideals in 1377904 cliques
  117. Wed Jul 26 10:54:32 2017 commencing in-memory singleton removal
  118. Wed Jul 26 10:54:35 2017 begin with 30453920 relations and 32999508 unique ideals
  119. Wed Jul 26 10:55:07 2017 reduce to 30039520 relations and 29288987 ideals in 8 passes
  120. Wed Jul 26 10:55:07 2017 max relations containing the same ideal: 82
  121. Wed Jul 26 10:55:25 2017 removing 97655 relations and 83431 ideals in 14224 cliques
  122. Wed Jul 26 10:55:26 2017 commencing in-memory singleton removal
  123. Wed Jul 26 10:55:29 2017 begin with 29941865 relations and 29288987 unique ideals
  124. Wed Jul 26 10:55:44 2017 reduce to 29941685 relations and 29205376 ideals in 4 passes
  125. Wed Jul 26 10:55:44 2017 max relations containing the same ideal: 82
  126. Wed Jul 26 10:55:50 2017 relations with 0 large ideals: 24038
  127. Wed Jul 26 10:55:50 2017 relations with 1 large ideals: 9610
  128. Wed Jul 26 10:55:50 2017 relations with 2 large ideals: 138262
  129. Wed Jul 26 10:55:50 2017 relations with 3 large ideals: 893639
  130. Wed Jul 26 10:55:50 2017 relations with 4 large ideals: 3074919
  131. Wed Jul 26 10:55:50 2017 relations with 5 large ideals: 6283635
  132. Wed Jul 26 10:55:50 2017 relations with 6 large ideals: 7987278
  133. Wed Jul 26 10:55:50 2017 relations with 7+ large ideals: 11530304
  134. Wed Jul 26 10:55:50 2017 commencing 2-way merge
  135. Wed Jul 26 10:56:13 2017 reduce to 19849640 relation sets and 19113331 unique ideals
  136. Wed Jul 26 10:56:13 2017 commencing full merge
  137. Wed Jul 26 11:04:47 2017 memory use: 2548.9 MB
  138. Wed Jul 26 11:04:49 2017 found 8975824 cycles, need 8941531
  139. Wed Jul 26 11:04:53 2017 weight of 8941531 cycles is about 1073514884 (120.06/cycle)
  140. Wed Jul 26 11:04:53 2017 distribution of cycle lengths:
  141. Wed Jul 26 11:04:53 2017 1 relations: 344846
  142. Wed Jul 26 11:04:53 2017 2 relations: 505503
  143. Wed Jul 26 11:04:53 2017 3 relations: 606446
  144. Wed Jul 26 11:04:53 2017 4 relations: 642988
  145. Wed Jul 26 11:04:53 2017 5 relations: 667532
  146. Wed Jul 26 11:04:53 2017 6 relations: 669188
  147. Wed Jul 26 11:04:53 2017 7 relations: 658541
  148. Wed Jul 26 11:04:53 2017 8 relations: 631045
  149. Wed Jul 26 11:04:53 2017 9 relations: 596090
  150. Wed Jul 26 11:04:53 2017 10+ relations: 3619352
  151. Wed Jul 26 11:04:53 2017 heaviest cycle: 28 relations
  152. Wed Jul 26 11:04:56 2017 commencing cycle optimization
  153. Wed Jul 26 11:05:22 2017 start with 80093563 relations
  154. Wed Jul 26 11:09:04 2017 pruned 3871057 relations
  155. Wed Jul 26 11:09:04 2017 memory use: 2069.6 MB
  156. Wed Jul 26 11:09:04 2017 distribution of cycle lengths:
  157. Wed Jul 26 11:09:04 2017 1 relations: 344846
  158. Wed Jul 26 11:09:04 2017 2 relations: 517895
  159. Wed Jul 26 11:09:04 2017 3 relations: 632561
  160. Wed Jul 26 11:09:04 2017 4 relations: 671240
  161. Wed Jul 26 11:09:04 2017 5 relations: 702656
  162. Wed Jul 26 11:09:04 2017 6 relations: 705192
  163. Wed Jul 26 11:09:04 2017 7 relations: 696295
  164. Wed Jul 26 11:09:04 2017 8 relations: 665148
  165. Wed Jul 26 11:09:04 2017 9 relations: 625826
  166. Wed Jul 26 11:09:04 2017 10+ relations: 3379872
  167. Wed Jul 26 11:09:04 2017 heaviest cycle: 28 relations
  168. Wed Jul 26 11:09:24 2017 RelProcTime: 9061
  169. Wed Jul 26 11:09:24 2017
  170. Wed Jul 26 11:09:24 2017 commencing linear algebra
  171. Wed Jul 26 11:09:25 2017 read 8941531 cycles
  172. Wed Jul 26 11:09:48 2017 cycles contain 29560679 unique relations
  173. Wed Jul 26 11:14:16 2017 read 29560679 relations
  174. Wed Jul 26 11:14:57 2017 using 20 quadratic characters above 4294917295
  175. Wed Jul 26 11:16:38 2017 building initial matrix
  176. Wed Jul 26 11:21:22 2017 memory use: 3754.0 MB
  177. Wed Jul 26 11:21:26 2017 read 8941531 cycles
  178. Wed Jul 26 11:21:27 2017 matrix is 8941354 x 8941531 (4185.2 MB) with weight 1211492423 (135.49/col)
  179. Wed Jul 26 11:21:27 2017 sparse part has weight 998757252 (111.70/col)
  180. Wed Jul 26 11:23:02 2017 filtering completed in 2 passes
  181. Wed Jul 26 11:23:03 2017 matrix is 8941222 x 8941399 (4185.1 MB) with weight 1211487601 (135.49/col)
  182. Wed Jul 26 11:23:03 2017 sparse part has weight 998755654 (111.70/col)
  183. Wed Jul 26 11:23:55 2017 matrix starts at (0, 0)
  184. Wed Jul 26 11:23:56 2017 matrix is 8941222 x 8941399 (4185.1 MB) with weight 1211487601 (135.49/col)
  185. Wed Jul 26 11:23:56 2017 sparse part has weight 998755654 (111.70/col)
  186. Wed Jul 26 11:23:56 2017 saving the first 48 matrix rows for later
  187. Wed Jul 26 11:23:57 2017 matrix includes 64 packed rows
  188. Wed Jul 26 11:23:58 2017 matrix is 8941174 x 8941399 (4022.7 MB) with weight 1040190918 (116.33/col)
  189. Wed Jul 26 11:23:58 2017 sparse part has weight 965110183 (107.94/col)
  190. Wed Jul 26 11:23:59 2017 using block size 8192 and superblock size 786432 for processor cache size 8192 kB
  191. Wed Jul 26 11:24:29 2017 commencing Lanczos iteration (4 threads)
  192. Wed Jul 26 11:24:29 2017 memory use: 3400.4 MB
  193. Wed Jul 26 11:25:08 2017 linear algebra at 0.0%, ETA 60h34m
  194. Wed Jul 26 11:25:20 2017 checkpointing every 150000 dimensions
  195. Fri Jul 28 17:48:10 2017 lanczos halted after 141405 iterations (dim = 8941172)
  196. Fri Jul 28 17:48:23 2017 recovered 33 nontrivial dependencies
  197. Fri Jul 28 17:48:23 2017 BLanczosTime: 196739
  198. Fri Jul 28 17:48:23 2017
  199. Fri Jul 28 17:48:23 2017 commencing square root phase
  200. Fri Jul 28 17:48:23 2017 handling dependencies 1 to 64
  201. Fri Jul 28 17:48:23 2017 reading relations for dependency 1
  202. Fri Jul 28 17:48:24 2017 read 4468167 cycles
  203. Fri Jul 28 17:48:31 2017 cycles contain 14771558 unique relations
  204. Fri Jul 28 17:51:31 2017 read 14771558 relations
  205. Fri Jul 28 17:52:20 2017 multiplying 14771558 relations
  206. Fri Jul 28 18:13:22 2017 multiply complete, coefficients have about 905.33 million bits
  207. Fri Jul 28 18:13:24 2017 initial square root is modulo 132471151
  208. Fri Jul 28 18:37:14 2017 sqrtTime: 2931
  209. Fri Jul 28 18:37:14 2017 p82 factor: 6537204205084674294703481584493502380423466318496614959984113790116747866788584321
  210. Fri Jul 28 18:37:14 2017 p124 factor: 1042143608837959636915220743087764687714991473494839035895276907793104632961349715079269355173454868238212723637196998197823
  211. Fri Jul 28 18:37:14 2017 elapsed time 57:58:56
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