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Jul 16th, 2022
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  1. Sat Jul 09 13:01:56 2022
  2. Sat Jul 09 13:01:56 2022
  3. Sat Jul 09 13:01:56 2022 Msieve v. 1.52 (SVN unknown)
  4. Sat Jul 09 13:01:56 2022 random seeds: 612cb048 e322301d
  5. Sat Jul 09 13:01:56 2022 factoring 3558673052264700164798309434496977032392885183395428816268310259594883831061052005721913652349571099501066977072009019675667943856066053787793760072797782324893647284132923852503247722872061024557 (196 digits)
  6. Sat Jul 09 13:01:57 2022 no P-1/P+1/ECM available, skipping
  7. Sat Jul 09 13:01:57 2022 commencing number field sieve (196-digit input)
  8. Sat Jul 09 13:01:57 2022 R0: 602400691612421918536387328824478011400331731
  9. Sat Jul 09 13:01:57 2022 R1: -8796093022208
  10. Sat Jul 09 13:01:57 2022 A0: 11
  11. Sat Jul 09 13:01:57 2022 A1: 0
  12. Sat Jul 09 13:01:57 2022 A2: 0
  13. Sat Jul 09 13:01:57 2022 A3: 0
  14. Sat Jul 09 13:01:57 2022 A4: 0
  15. Sat Jul 09 13:01:57 2022 A5: 0
  16. Sat Jul 09 13:01:57 2022 A6: 2
  17. Sat Jul 09 13:01:57 2022 skew 1.33, size 3.271e-013, alpha 0.932, combined = 4.972e-014 rroots = 0
  18. Sat Jul 09 13:01:57 2022
  19. Sat Jul 09 13:01:57 2022 commencing relation filtering
  20. Sat Jul 09 13:01:57 2022 setting target matrix density to 106.0
  21. Sat Jul 09 13:01:57 2022 estimated available RAM is 130978.7 MB
  22. Sat Jul 09 13:01:57 2022 commencing duplicate removal, pass 1
  23. Sat Jul 09 13:04:49 2022 error -1 reading relation 18860459
  24. Sat Jul 09 13:04:52 2022 error -9 reading relation 19161223
  25. Sat Jul 09 13:04:53 2022 error -9 reading relation 19314814
  26. Sat Jul 09 13:05:00 2022 error -5 reading relation 20076108
  27. Sat Jul 09 13:05:11 2022 error -9 reading relation 21255175
  28. Sat Jul 09 14:07:04 2022 error -9 reading relation 424363622
  29. Sat Jul 09 14:07:05 2022 error -1 reading relation 424385281
  30. Sat Jul 09 14:07:12 2022 skipped 897 relations with b > 2^32
  31. Sat Jul 09 14:07:12 2022 found 99735869 hash collisions in 425228824 relations
  32. Sat Jul 09 14:07:38 2022 added 1219161 free relations
  33. Sat Jul 09 14:07:38 2022 commencing duplicate removal, pass 2
  34. Sat Jul 09 14:11:25 2022 found 100486594 duplicates and 325961391 unique relations
  35. Sat Jul 09 14:11:25 2022 memory use: 2387.0 MB
  36. Sat Jul 09 14:11:25 2022 reading ideals above 720000
  37. Sat Jul 09 14:11:25 2022 commencing singleton removal, initial pass
  38. Sat Jul 09 15:18:41 2022 memory use: 6024.0 MB
  39. Sat Jul 09 15:18:41 2022 reading all ideals from disk
  40. Sat Jul 09 15:18:49 2022 memory use: 13653.6 MB
  41. Sat Jul 09 15:19:50 2022 keeping 325931203 ideals with weight <= 200, target excess is 1705773
  42. Sat Jul 09 15:20:53 2022 commencing in-memory singleton removal
  43. Sat Jul 09 15:21:45 2022 begin with 325961391 relations and 325931203 unique ideals
  44. Sat Jul 09 15:30:13 2022 reduce to 176446870 relations and 157409399 ideals in 17 passes
  45. Sat Jul 09 15:30:13 2022 max relations containing the same ideal: 143
  46. Sat Jul 09 15:32:24 2022 removing 16043817 relations and 14043817 ideals in 2000000 cliques
  47. Sat Jul 09 15:32:29 2022 commencing in-memory singleton removal
  48. Sat Jul 09 15:32:53 2022 begin with 160403053 relations and 157409399 unique ideals
  49. Sat Jul 09 15:37:29 2022 reduce to 159150363 relations and 142092947 ideals in 12 passes
  50. Sat Jul 09 15:37:29 2022 max relations containing the same ideal: 133
  51. Sat Jul 09 15:39:24 2022 removing 12006516 relations and 10006516 ideals in 2000000 cliques
  52. Sat Jul 09 15:39:27 2022 commencing in-memory singleton removal
  53. Sat Jul 09 15:39:49 2022 begin with 147143847 relations and 142092947 unique ideals
  54. Sat Jul 09 15:43:00 2022 reduce to 146348139 relations and 131279898 ideals in 9 passes
  55. Sat Jul 09 15:43:00 2022 max relations containing the same ideal: 126
  56. Sat Jul 09 15:44:41 2022 removing 10767235 relations and 8767235 ideals in 2000000 cliques
  57. Sat Jul 09 15:44:45 2022 commencing in-memory singleton removal
  58. Sat Jul 09 15:45:04 2022 begin with 135580904 relations and 131279898 unique ideals
  59. Sat Jul 09 15:47:50 2022 reduce to 134885588 relations and 121807822 ideals in 9 passes
  60. Sat Jul 09 15:47:50 2022 max relations containing the same ideal: 121
  61. Sat Jul 09 15:49:22 2022 removing 10130483 relations and 8130483 ideals in 2000000 cliques
  62. Sat Jul 09 15:49:26 2022 commencing in-memory singleton removal
  63. Sat Jul 09 15:49:43 2022 begin with 124755105 relations and 121807822 unique ideals
  64. Sat Jul 09 15:52:16 2022 reduce to 124088214 relations and 113001071 ideals in 9 passes
  65. Sat Jul 09 15:52:16 2022 max relations containing the same ideal: 115
  66. Sat Jul 09 15:53:48 2022 removing 9746617 relations and 7746617 ideals in 2000000 cliques
  67. Sat Jul 09 15:53:51 2022 commencing in-memory singleton removal
  68. Sat Jul 09 15:54:07 2022 begin with 114341597 relations and 113001071 unique ideals
  69. Sat Jul 09 15:56:29 2022 reduce to 113674192 relations and 104577138 ideals in 9 passes
  70. Sat Jul 09 15:56:29 2022 max relations containing the same ideal: 107
  71. Sat Jul 09 15:57:54 2022 removing 9512565 relations and 7512565 ideals in 2000000 cliques
  72. Sat Jul 09 15:57:57 2022 commencing in-memory singleton removal
  73. Sat Jul 09 15:58:12 2022 begin with 104161627 relations and 104577138 unique ideals
  74. Sat Jul 09 16:00:18 2022 reduce to 103474170 relations and 96366011 ideals in 9 passes
  75. Sat Jul 09 16:00:18 2022 max relations containing the same ideal: 100
  76. Sat Jul 09 16:01:30 2022 removing 9367570 relations and 7367570 ideals in 2000000 cliques
  77. Sat Jul 09 16:01:33 2022 commencing in-memory singleton removal
  78. Sat Jul 09 16:01:46 2022 begin with 94106600 relations and 96366011 unique ideals
  79. Sat Jul 09 16:03:38 2022 reduce to 93374241 relations and 88253376 ideals in 9 passes
  80. Sat Jul 09 16:03:38 2022 max relations containing the same ideal: 97
  81. Sat Jul 09 16:04:44 2022 removing 9301988 relations and 7301988 ideals in 2000000 cliques
  82. Sat Jul 09 16:04:46 2022 commencing in-memory singleton removal
  83. Sat Jul 09 16:04:58 2022 begin with 84072253 relations and 88253376 unique ideals
  84. Sat Jul 09 16:06:49 2022 reduce to 83271461 relations and 80135284 ideals in 10 passes
  85. Sat Jul 09 16:06:49 2022 max relations containing the same ideal: 86
  86. Sat Jul 09 16:07:47 2022 removing 6044546 relations and 4887066 ideals in 1157480 cliques
  87. Sat Jul 09 16:07:49 2022 commencing in-memory singleton removal
  88. Sat Jul 09 16:08:00 2022 begin with 77226915 relations and 80135284 unique ideals
  89. Sat Jul 09 16:09:21 2022 reduce to 76872238 relations and 74889130 ideals in 8 passes
  90. Sat Jul 09 16:09:21 2022 max relations containing the same ideal: 82
  91. Sat Jul 09 16:10:23 2022 relations with 0 large ideals: 63842
  92. Sat Jul 09 16:10:23 2022 relations with 1 large ideals: 37237
  93. Sat Jul 09 16:10:24 2022 relations with 2 large ideals: 440085
  94. Sat Jul 09 16:10:24 2022 relations with 3 large ideals: 2661817
  95. Sat Jul 09 16:10:24 2022 relations with 4 large ideals: 8743011
  96. Sat Jul 09 16:10:24 2022 relations with 5 large ideals: 17101296
  97. Sat Jul 09 16:10:24 2022 relations with 6 large ideals: 20765715
  98. Sat Jul 09 16:10:24 2022 relations with 7+ large ideals: 27059235
  99. Sat Jul 09 16:10:24 2022 commencing 2-way merge
  100. Sat Jul 09 16:11:38 2022 reduce to 46958787 relation sets and 44975679 unique ideals
  101. Sat Jul 09 16:11:38 2022 commencing full merge
  102. Sat Jul 09 16:33:47 2022 memory use: 5694.4 MB
  103. Sat Jul 09 16:33:58 2022 found 21814531 cycles, need 21629879
  104. Sat Jul 09 16:34:00 2022 weight of 21629879 cycles is about 2292998638 (106.01/cycle)
  105. Sat Jul 09 16:34:00 2022 distribution of cycle lengths:
  106. Sat Jul 09 16:34:00 2022 1 relations: 1985269
  107. Sat Jul 09 16:34:00 2022 2 relations: 1873351
  108. Sat Jul 09 16:34:00 2022 3 relations: 1842344
  109. Sat Jul 09 16:34:00 2022 4 relations: 1743572
  110. Sat Jul 09 16:34:00 2022 5 relations: 1665095
  111. Sat Jul 09 16:34:00 2022 6 relations: 1543962
  112. Sat Jul 09 16:34:00 2022 7 relations: 1455889
  113. Sat Jul 09 16:34:00 2022 8 relations: 1345396
  114. Sat Jul 09 16:34:00 2022 9 relations: 1228432
  115. Sat Jul 09 16:34:00 2022 10+ relations: 6946569
  116. Sat Jul 09 16:34:00 2022 heaviest cycle: 28 relations
  117. Sat Jul 09 16:34:38 2022 commencing cycle optimization
  118. Sat Jul 09 16:35:18 2022 start with 164883982 relations
  119. Sat Jul 09 16:43:21 2022 pruned 5493646 relations
  120. Sat Jul 09 16:43:21 2022 memory use: 4817.8 MB
  121. Sat Jul 09 16:43:21 2022 distribution of cycle lengths:
  122. Sat Jul 09 16:43:21 2022 1 relations: 1985269
  123. Sat Jul 09 16:43:21 2022 2 relations: 1914321
  124. Sat Jul 09 16:43:21 2022 3 relations: 1909761
  125. Sat Jul 09 16:43:21 2022 4 relations: 1797842
  126. Sat Jul 09 16:43:21 2022 5 relations: 1724289
  127. Sat Jul 09 16:43:21 2022 6 relations: 1591558
  128. Sat Jul 09 16:43:21 2022 7 relations: 1501892
  129. Sat Jul 09 16:43:21 2022 8 relations: 1379672
  130. Sat Jul 09 16:43:21 2022 9 relations: 1257347
  131. Sat Jul 09 16:43:21 2022 10+ relations: 6567928
  132. Sat Jul 09 16:43:21 2022 heaviest cycle: 28 relations
  133. Sat Jul 09 16:44:29 2022 RelProcTime: 13352
  134. Sat Jul 09 16:44:29 2022
  135. Sat Jul 09 16:44:29 2022 commencing linear algebra
  136. Sat Jul 09 16:44:35 2022 read 21629879 cycles
  137. Sat Jul 09 16:45:21 2022 cycles contain 75408835 unique relations
  138. Sat Jul 09 16:58:10 2022 read 75408835 relations
  139. Sat Jul 09 17:00:58 2022 using 20 quadratic characters above 4294917296
  140. Sat Jul 09 17:06:57 2022 building initial matrix
  141. Sat Jul 09 17:22:45 2022 memory use: 9757.3 MB
  142. Sat Jul 09 17:23:20 2022 read 21629879 cycles
  143. Sat Jul 09 17:23:27 2022 matrix is 21629699 x 21629879 (9198.6 MB) with weight 2660882862 (123.02/col)
  144. Sat Jul 09 17:23:27 2022 sparse part has weight 2173427772 (100.48/col)
  145. Sat Jul 09 17:32:05 2022 filtering completed in 2 passes
  146. Sat Jul 09 17:32:12 2022 matrix is 21624573 x 21624751 (9198.1 MB) with weight 2660698598 (123.04/col)
  147. Sat Jul 09 17:32:12 2022 sparse part has weight 2173362672 (100.50/col)
  148. Sat Jul 09 17:33:51 2022 matrix starts at (0, 0)
  149. Sat Jul 09 17:33:57 2022 matrix is 21624573 x 21624751 (9198.1 MB) with weight 2660698598 (123.04/col)
  150. Sat Jul 09 17:33:57 2022 sparse part has weight 2173362672 (100.50/col)
  151. Sat Jul 09 17:33:57 2022 saving the first 48 matrix rows for later
  152. Sat Jul 09 17:34:04 2022 matrix includes 64 packed rows
  153. Sat Jul 09 17:34:08 2022 matrix is 21624525 x 21624751 (8836.3 MB) with weight 2258561720 (104.44/col)
  154. Sat Jul 09 17:34:08 2022 sparse part has weight 2100134517 (97.12/col)
  155. Sat Jul 09 17:34:08 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  156. Sat Jul 09 17:36:31 2022 commencing Lanczos iteration (24 threads)
  157. Sat Jul 09 17:36:31 2022 memory use: 7608.8 MB
  158. Sat Jul 09 17:37:18 2022 linear algebra at 0.0%, ETA 177h42m
  159. Sat Jul 09 17:37:33 2022 checkpointing every 130000 dimensions
  160. Wed Jul 13 18:32:37 2022
  161. Wed Jul 13 18:32:37 2022
  162. Wed Jul 13 18:32:37 2022 Msieve v. 1.52 (SVN unknown)
  163. Wed Jul 13 18:32:37 2022 random seeds: 5a1ca73c 0c604d5d
  164. Wed Jul 13 18:32:37 2022 factoring 3558673052264700164798309434496977032392885183395428816268310259594883831061052005721913652349571099501066977072009019675667943856066053787793760072797782324893647284132923852503247722872061024557 (196 digits)
  165. Wed Jul 13 18:32:38 2022 no P-1/P+1/ECM available, skipping
  166. Wed Jul 13 18:32:38 2022 commencing number field sieve (196-digit input)
  167. Wed Jul 13 18:32:38 2022 R0: 602400691612421918536387328824478011400331731
  168. Wed Jul 13 18:32:38 2022 R1: -8796093022208
  169. Wed Jul 13 18:32:38 2022 A0: 11
  170. Wed Jul 13 18:32:38 2022 A1: 0
  171. Wed Jul 13 18:32:38 2022 A2: 0
  172. Wed Jul 13 18:32:38 2022 A3: 0
  173. Wed Jul 13 18:32:38 2022 A4: 0
  174. Wed Jul 13 18:32:38 2022 A5: 0
  175. Wed Jul 13 18:32:38 2022 A6: 2
  176. Wed Jul 13 18:32:38 2022 skew 1.33, size 3.271e-013, alpha 0.932, combined = 4.972e-014 rroots = 0
  177. Wed Jul 13 18:32:38 2022
  178. Wed Jul 13 18:32:38 2022 commencing linear algebra
  179. Wed Jul 13 18:33:00 2022 matrix starts at (0, 0)
  180. Wed Jul 13 18:33:06 2022 matrix is 21624573 x 21624751 (9198.1 MB) with weight 2660698598 (123.04/col)
  181. Wed Jul 13 18:33:06 2022 sparse part has weight 2173362672 (100.50/col)
  182. Wed Jul 13 18:33:06 2022 saving the first 48 matrix rows for later
  183. Wed Jul 13 18:33:13 2022 matrix includes 64 packed rows
  184. Wed Jul 13 18:33:17 2022 matrix is 21624525 x 21624751 (8836.3 MB) with weight 2258561720 (104.44/col)
  185. Wed Jul 13 18:33:17 2022 sparse part has weight 2100134517 (97.12/col)
  186. Wed Jul 13 18:33:17 2022 using block size 8192 and superblock size 2949120 for processor cache size 30720 kB
  187. Wed Jul 13 18:35:46 2022 commencing Lanczos iteration (24 threads)
  188. Wed Jul 13 18:35:46 2022 memory use: 7608.8 MB
  189. Wed Jul 13 18:35:48 2022 restarting at iteration 187079 (dim = 11830032)
  190. Wed Jul 13 18:36:26 2022 linear algebra at 54.7%, ETA 68h 5m
  191. Wed Jul 13 18:36:38 2022 checkpointing every 150000 dimensions
  192. Sat Jul 16 15:18:33 2022 lanczos halted after 341961 iterations (dim = 21624525)
  193. Sat Jul 16 15:18:54 2022 recovered 40 nontrivial dependencies
  194. Sat Jul 16 15:19:08 2022 BLanczosTime: 247590
  195. Sat Jul 16 15:19:08 2022
  196. Sat Jul 16 15:19:08 2022 commencing square root phase
  197. Sat Jul 16 15:19:08 2022 reading relations for dependency 1
  198. Sat Jul 16 15:19:17 2022 read 10811759 cycles
  199. Sat Jul 16 15:19:40 2022 cycles contain 37709036 unique relations
  200. Sat Jul 16 15:28:26 2022 read 37709036 relations
  201. Sat Jul 16 15:32:27 2022 multiplying 37709036 relations
  202. Sat Jul 16 16:09:55 2022 multiply complete, coefficients have about 1033.16 million bits
  203. Sat Jul 16 16:10:09 2022 initial square root is modulo 1857590719
  204. Sat Jul 16 16:55:46 2022 sqrtTime: 5798
  205. Sat Jul 16 16:55:46 2022 prp98 factor: 12775545422106235965902970642137921047695187726991767763981292812067790719492439578936327974855107
  206. Sat Jul 16 16:55:46 2022 prp99 factor: 278553512565258504494030198414707805853085229162781324121307097593455096957316129325755893646326351
  207. Sat Jul 16 16:55:46 2022 elapsed time 70:23:09
  208.  
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