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Nov 1st, 2020
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  1. Sun Nov 1 08:47:23 2020
  2. Sun Nov 1 08:47:23 2020
  3. Sun Nov 1 08:47:23 2020 Msieve v. 1.54 (SVN 1025)
  4. Sun Nov 1 08:47:23 2020 random seeds: 7038cfe7 b7d359f8
  5. Sun Nov 1 08:47:23 2020 factoring 6844919385922723720312270902782072954848638268773694397709291667690260049784899677001690761638443289970432032699548954207735346908660820323075079187208270265648805903847339510669741970147436317 (193 digits)
  6. Sun Nov 1 08:47:24 2020 searching for 15-digit factors
  7. Sun Nov 1 08:47:25 2020 commencing number field sieve (193-digit input)
  8. Sun Nov 1 08:47:25 2020 R0: 2634626009773524842345390348095753592057522
  9. Sun Nov 1 08:47:25 2020 R1: -1623153107311052416711
  10. Sun Nov 1 08:47:25 2020 A0: 1
  11. Sun Nov 1 08:47:25 2020 A1: 3
  12. Sun Nov 1 08:47:25 2020 A2: -3
  13. Sun Nov 1 08:47:25 2020 A3: -4
  14. Sun Nov 1 08:47:25 2020 A4: 1
  15. Sun Nov 1 08:47:25 2020 A5: 1
  16. Sun Nov 1 08:47:25 2020 skew 1.00, size 1.842e-14, alpha 2.379, combined = 6.258e-12 rroots = 5
  17. Sun Nov 1 08:47:25 2020
  18. Sun Nov 1 08:47:25 2020 commencing relation filtering
  19. Sun Nov 1 08:47:25 2020 setting max relations to 54000000
  20. Sun Nov 1 08:47:25 2020 setting target matrix density to 132.0
  21. Sun Nov 1 08:47:25 2020 estimated available RAM is 16007.4 MB
  22. Sun Nov 1 08:47:25 2020 commencing duplicate removal, pass 1
  23. Sun Nov 1 08:53:45 2020 skipped 3 relations with b > 2^32
  24. Sun Nov 1 08:53:45 2020 found 2541850 hash collisions in 53999997 relations
  25. Sun Nov 1 08:53:45 2020 commencing duplicate removal, pass 2
  26. Sun Nov 1 08:53:57 2020 found 0 duplicates and 53999997 unique relations
  27. Sun Nov 1 08:53:57 2020 memory use: 189.2 MB
  28. Sun Nov 1 08:53:57 2020 reading ideals above 720000
  29. Sun Nov 1 08:53:57 2020 commencing singleton removal, initial pass
  30. Sun Nov 1 08:59:09 2020 memory use: 1378.0 MB
  31. Sun Nov 1 08:59:09 2020 reading all ideals from disk
  32. Sun Nov 1 08:59:10 2020 memory use: 1906.4 MB
  33. Sun Nov 1 08:59:13 2020 keeping 46626187 ideals with weight <= 200, target excess is 296130
  34. Sun Nov 1 08:59:17 2020 commencing in-memory singleton removal
  35. Sun Nov 1 08:59:20 2020 begin with 53999997 relations and 46626187 unique ideals
  36. Sun Nov 1 08:59:48 2020 reduce to 37139017 relations and 28314770 ideals in 11 passes
  37. Sun Nov 1 08:59:48 2020 max relations containing the same ideal: 164
  38. Sun Nov 1 09:00:00 2020 removing 4090311 relations and 3090311 ideals in 1000000 cliques
  39. Sun Nov 1 09:00:01 2020 commencing in-memory singleton removal
  40. Sun Nov 1 09:00:02 2020 begin with 33048706 relations and 28314770 unique ideals
  41. Sun Nov 1 09:00:18 2020 reduce to 32703013 relations and 24867786 ideals in 8 passes
  42. Sun Nov 1 09:00:18 2020 max relations containing the same ideal: 152
  43. Sun Nov 1 09:00:28 2020 removing 3261953 relations and 2261953 ideals in 1000000 cliques
  44. Sun Nov 1 09:00:29 2020 commencing in-memory singleton removal
  45. Sun Nov 1 09:00:30 2020 begin with 29441060 relations and 24867786 unique ideals
  46. Sun Nov 1 09:00:42 2020 reduce to 29195576 relations and 22353187 ideals in 7 passes
  47. Sun Nov 1 09:00:42 2020 max relations containing the same ideal: 142
  48. Sun Nov 1 09:00:51 2020 removing 3042468 relations and 2042468 ideals in 1000000 cliques
  49. Sun Nov 1 09:00:51 2020 commencing in-memory singleton removal
  50. Sun Nov 1 09:00:53 2020 begin with 26153108 relations and 22353187 unique ideals
  51. Sun Nov 1 09:01:03 2020 reduce to 25928852 relations and 20079602 ideals in 7 passes
  52. Sun Nov 1 09:01:03 2020 max relations containing the same ideal: 130
  53. Sun Nov 1 09:01:11 2020 removing 2935983 relations and 1935983 ideals in 1000000 cliques
  54. Sun Nov 1 09:01:12 2020 commencing in-memory singleton removal
  55. Sun Nov 1 09:01:13 2020 begin with 22992869 relations and 20079602 unique ideals
  56. Sun Nov 1 09:01:21 2020 reduce to 22772579 relations and 17915883 ideals in 6 passes
  57. Sun Nov 1 09:01:21 2020 max relations containing the same ideal: 116
  58. Sun Nov 1 09:01:27 2020 removing 2877527 relations and 1877527 ideals in 1000000 cliques
  59. Sun Nov 1 09:01:28 2020 commencing in-memory singleton removal
  60. Sun Nov 1 09:01:29 2020 begin with 19895052 relations and 17915883 unique ideals
  61. Sun Nov 1 09:01:37 2020 reduce to 19662923 relations and 15797426 ideals in 7 passes
  62. Sun Nov 1 09:01:37 2020 max relations containing the same ideal: 105
  63. Sun Nov 1 09:01:43 2020 removing 2844416 relations and 1844416 ideals in 1000000 cliques
  64. Sun Nov 1 09:01:44 2020 commencing in-memory singleton removal
  65. Sun Nov 1 09:01:44 2020 begin with 16818507 relations and 15797426 unique ideals
  66. Sun Nov 1 09:01:50 2020 reduce to 16562018 relations and 13685566 ideals in 6 passes
  67. Sun Nov 1 09:01:50 2020 max relations containing the same ideal: 94
  68. Sun Nov 1 09:01:55 2020 removing 2834266 relations and 1834266 ideals in 1000000 cliques
  69. Sun Nov 1 09:01:56 2020 commencing in-memory singleton removal
  70. Sun Nov 1 09:01:56 2020 begin with 13727752 relations and 13685566 unique ideals
  71. Sun Nov 1 09:02:01 2020 reduce to 13429222 relations and 11537783 ideals in 7 passes
  72. Sun Nov 1 09:02:01 2020 max relations containing the same ideal: 85
  73. Sun Nov 1 09:02:05 2020 removing 2843042 relations and 1843042 ideals in 1000000 cliques
  74. Sun Nov 1 09:02:06 2020 commencing in-memory singleton removal
  75. Sun Nov 1 09:02:07 2020 begin with 10586180 relations and 11537783 unique ideals
  76. Sun Nov 1 09:02:11 2020 reduce to 10216329 relations and 9301989 ideals in 8 passes
  77. Sun Nov 1 09:02:11 2020 max relations containing the same ideal: 67
  78. Sun Nov 1 09:02:14 2020 removing 1814793 relations and 1243964 ideals in 570829 cliques
  79. Sun Nov 1 09:02:15 2020 commencing in-memory singleton removal
  80. Sun Nov 1 09:02:15 2020 begin with 8401536 relations and 9301989 unique ideals
  81. Sun Nov 1 09:02:19 2020 reduce to 8177348 relations and 7822762 ideals in 9 passes
  82. Sun Nov 1 09:02:19 2020 max relations containing the same ideal: 59
  83. Sun Nov 1 09:02:21 2020 removing 69429 relations and 58354 ideals in 11075 cliques
  84. Sun Nov 1 09:02:22 2020 commencing in-memory singleton removal
  85. Sun Nov 1 09:02:22 2020 begin with 8107919 relations and 7822762 unique ideals
  86. Sun Nov 1 09:02:24 2020 reduce to 8107506 relations and 7763994 ideals in 6 passes
  87. Sun Nov 1 09:02:24 2020 max relations containing the same ideal: 59
  88. Sun Nov 1 09:02:25 2020 relations with 0 large ideals: 0
  89. Sun Nov 1 09:02:25 2020 relations with 1 large ideals: 4775
  90. Sun Nov 1 09:02:25 2020 relations with 2 large ideals: 68955
  91. Sun Nov 1 09:02:25 2020 relations with 3 large ideals: 403052
  92. Sun Nov 1 09:02:25 2020 relations with 4 large ideals: 1212579
  93. Sun Nov 1 09:02:25 2020 relations with 5 large ideals: 2091321
  94. Sun Nov 1 09:02:25 2020 relations with 6 large ideals: 2187481
  95. Sun Nov 1 09:02:25 2020 relations with 7+ large ideals: 2139343
  96. Sun Nov 1 09:02:25 2020 commencing 2-way merge
  97. Sun Nov 1 09:02:29 2020 reduce to 5262321 relation sets and 4918809 unique ideals
  98. Sun Nov 1 09:02:29 2020 commencing full merge
  99. Sun Nov 1 09:03:53 2020 memory use: 653.5 MB
  100. Sun Nov 1 09:03:54 2020 found 2299938 cycles, need 2285009
  101. Sun Nov 1 09:03:54 2020 weight of 2285009 cycles is about 302105961 (132.21/cycle)
  102. Sun Nov 1 09:03:54 2020 distribution of cycle lengths:
  103. Sun Nov 1 09:03:54 2020 1 relations: 56849
  104. Sun Nov 1 09:03:54 2020 2 relations: 106662
  105. Sun Nov 1 09:03:54 2020 3 relations: 133947
  106. Sun Nov 1 09:03:54 2020 4 relations: 146169
  107. Sun Nov 1 09:03:54 2020 5 relations: 157222
  108. Sun Nov 1 09:03:54 2020 6 relations: 162093
  109. Sun Nov 1 09:03:54 2020 7 relations: 163198
  110. Sun Nov 1 09:03:54 2020 8 relations: 158583
  111. Sun Nov 1 09:03:54 2020 9 relations: 152928
  112. Sun Nov 1 09:03:54 2020 10+ relations: 1047358
  113. Sun Nov 1 09:03:54 2020 heaviest cycle: 28 relations
  114. Sun Nov 1 09:03:55 2020 commencing cycle optimization
  115. Sun Nov 1 09:03:58 2020 start with 22267272 relations
  116. Sun Nov 1 09:04:36 2020 pruned 1246639 relations
  117. Sun Nov 1 09:04:36 2020 memory use: 561.6 MB
  118. Sun Nov 1 09:04:36 2020 distribution of cycle lengths:
  119. Sun Nov 1 09:04:36 2020 1 relations: 56849
  120. Sun Nov 1 09:04:36 2020 2 relations: 109913
  121. Sun Nov 1 09:04:36 2020 3 relations: 140597
  122. Sun Nov 1 09:04:36 2020 4 relations: 153532
  123. Sun Nov 1 09:04:36 2020 5 relations: 167172
  124. Sun Nov 1 09:04:36 2020 6 relations: 172473
  125. Sun Nov 1 09:04:36 2020 7 relations: 174749
  126. Sun Nov 1 09:04:36 2020 8 relations: 169058
  127. Sun Nov 1 09:04:36 2020 9 relations: 163059
  128. Sun Nov 1 09:04:36 2020 10+ relations: 977607
  129. Sun Nov 1 09:04:36 2020 heaviest cycle: 28 relations
  130. Sun Nov 1 09:04:39 2020 RelProcTime: 1034
  131. Sun Nov 1 09:04:39 2020
  132. Sun Nov 1 09:04:39 2020 commencing linear algebra
  133. Sun Nov 1 09:04:40 2020 read 2285009 cycles
  134. Sun Nov 1 09:04:44 2020 cycles contain 7934656 unique relations
  135. Sun Nov 1 09:05:22 2020 read 7934656 relations
  136. Sun Nov 1 09:05:32 2020 using 20 quadratic characters above 4294917295
  137. Sun Nov 1 09:06:01 2020 building initial matrix
  138. Sun Nov 1 09:07:13 2020 memory use: 970.1 MB
  139. Sun Nov 1 09:07:14 2020 read 2285009 cycles
  140. Sun Nov 1 09:07:14 2020 matrix is 2284832 x 2285009 (1145.8 MB) with weight 326586494 (142.93/col)
  141. Sun Nov 1 09:07:14 2020 sparse part has weight 275219730 (120.45/col)
  142. Sun Nov 1 09:07:34 2020 filtering completed in 2 passes
  143. Sun Nov 1 09:07:35 2020 matrix is 2284797 x 2284974 (1145.8 MB) with weight 326584528 (142.93/col)
  144. Sun Nov 1 09:07:35 2020 sparse part has weight 275218597 (120.45/col)
  145. Sun Nov 1 09:07:43 2020 matrix starts at (0, 0)
  146. Sun Nov 1 09:07:43 2020 matrix is 2284797 x 2284974 (1145.8 MB) with weight 326584528 (142.93/col)
  147. Sun Nov 1 09:07:43 2020 sparse part has weight 275218597 (120.45/col)
  148. Sun Nov 1 09:07:43 2020 saving the first 48 matrix rows for later
  149. Sun Nov 1 09:07:44 2020 matrix includes 64 packed rows
  150. Sun Nov 1 09:07:44 2020 matrix is 2284749 x 2284974 (1094.8 MB) with weight 283094314 (123.89/col)
  151. Sun Nov 1 09:07:44 2020 sparse part has weight 264133929 (115.60/col)
  152. Sun Nov 1 09:07:44 2020 using block size 8192 and superblock size 589824 for processor cache size 6144 kB
  153. Sun Nov 1 09:07:51 2020 commencing Lanczos iteration (4 threads)
  154. Sun Nov 1 09:07:51 2020 memory use: 1017.7 MB
  155. Sun Nov 1 09:07:59 2020 linear algebra at 0.1%, ETA 2h56m
  156. Sun Nov 1 09:08:01 2020 checkpointing every 810000 dimensions
  157. Sun Nov 1 12:09:03 2020 lanczos halted after 36131 iterations (dim = 2284746)
  158. Sun Nov 1 12:09:04 2020 recovered 34 nontrivial dependencies
  159. Sun Nov 1 12:09:04 2020 BLanczosTime: 11065
  160. Sun Nov 1 12:09:04 2020
  161. Sun Nov 1 12:09:04 2020 commencing square root phase
  162. Sun Nov 1 12:09:04 2020 handling dependencies 1 to 64
  163. Sun Nov 1 12:09:04 2020 reading relations for dependency 1
  164. Sun Nov 1 12:09:04 2020 read 1142212 cycles
  165. Sun Nov 1 12:09:06 2020 cycles contain 3967276 unique relations
  166. Sun Nov 1 12:09:28 2020 read 3967276 relations
  167. Sun Nov 1 12:09:41 2020 multiplying 3967276 relations
  168. Sun Nov 1 12:10:54 2020 multiply complete, coefficients have about 94.85 million bits
  169. Sun Nov 1 12:10:54 2020 initial square root is modulo 6434167
  170. Sun Nov 1 12:12:44 2020 GCD is 1, no factor found
  171. Sun Nov 1 12:12:44 2020 reading relations for dependency 2
  172. Sun Nov 1 12:12:44 2020 read 1141773 cycles
  173. Sun Nov 1 12:12:47 2020 cycles contain 3966872 unique relations
  174. Sun Nov 1 12:13:12 2020 read 3966872 relations
  175. Sun Nov 1 12:13:27 2020 multiplying 3966872 relations
  176. Sun Nov 1 12:15:00 2020 multiply complete, coefficients have about 94.84 million bits
  177. Sun Nov 1 12:15:01 2020 initial square root is modulo 6415819
  178. Sun Nov 1 12:16:47 2020 GCD is 1, no factor found
  179. Sun Nov 1 12:16:47 2020 reading relations for dependency 3
  180. Sun Nov 1 12:16:47 2020 read 1141203 cycles
  181. Sun Nov 1 12:16:50 2020 cycles contain 3963456 unique relations
  182. Sun Nov 1 12:17:22 2020 read 3963456 relations
  183. Sun Nov 1 12:17:38 2020 multiplying 3963456 relations
  184. Sun Nov 1 12:18:57 2020 multiply complete, coefficients have about 94.76 million bits
  185. Sun Nov 1 12:18:58 2020 initial square root is modulo 6332197
  186. Sun Nov 1 12:21:00 2020 GCD is N, no factor found
  187. Sun Nov 1 12:21:00 2020 reading relations for dependency 4
  188. Sun Nov 1 12:21:00 2020 read 1142427 cycles
  189. Sun Nov 1 12:21:03 2020 cycles contain 3965788 unique relations
  190. Sun Nov 1 12:21:33 2020 read 3965788 relations
  191. Sun Nov 1 12:21:55 2020 multiplying 3965788 relations
  192. Sun Nov 1 12:23:39 2020 multiply complete, coefficients have about 94.82 million bits
  193. Sun Nov 1 12:23:39 2020 initial square root is modulo 6394231
  194. Sun Nov 1 12:25:48 2020 GCD is N, no factor found
  195. Sun Nov 1 12:25:48 2020 reading relations for dependency 5
  196. Sun Nov 1 12:25:48 2020 read 1141847 cycles
  197. Sun Nov 1 12:25:51 2020 cycles contain 3964834 unique relations
  198. Sun Nov 1 12:26:19 2020 read 3964834 relations
  199. Sun Nov 1 12:26:41 2020 multiplying 3964834 relations
  200. Sun Nov 1 12:28:26 2020 multiply complete, coefficients have about 94.79 million bits
  201. Sun Nov 1 12:28:26 2020 initial square root is modulo 6370477
  202. Sun Nov 1 12:30:34 2020 sqrtTime: 1290
  203. Sun Nov 1 12:30:34 2020 p50 factor: 73750186197703738891629395379819849041995633808593
  204. Sun Nov 1 12:30:34 2020 p143 factor: 92812231925400140059085570738508711354682479456603101086704399612222969426420662518246322077876557617124158736912799764333197627493404879433869
  205. Sun Nov 1 12:30:34 2020 elapsed time 03:43:11
  206.  
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