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Dec 5th, 2022
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  1. Fri Dec 2 11:43:50 2022
  2. Fri Dec 2 11:43:50 2022
  3. Fri Dec 2 11:43:50 2022 Msieve v. 1.54 (SVN 1043M)
  4. Fri Dec 2 11:43:50 2022 random seeds: 054b20dd 28fc7520
  5. Fri Dec 2 11:43:50 2022 factoring 410616141382564602826087521165327154755212516128575863229171980087238769765697125293993833898972368475901327315697642586637118505590699645468529110338238588891 (159 digits)
  6. Fri Dec 2 11:43:50 2022 searching for 15-digit factors
  7. Fri Dec 2 11:43:51 2022 commencing number field sieve (159-digit input)
  8. Fri Dec 2 11:43:51 2022 R0: -11501674904939595685527775534026
  9. Fri Dec 2 11:43:51 2022 R1: 65304476219438129
  10. Fri Dec 2 11:43:51 2022 A0: 63056715519238944469479844470548968044235
  11. Fri Dec 2 11:43:51 2022 A1: -5333815164396626602833712668073566
  12. Fri Dec 2 11:43:51 2022 A2: -525604350109070246847087689
  13. Fri Dec 2 11:43:51 2022 A3: 19411185945822198714
  14. Fri Dec 2 11:43:51 2022 A4: 338911752226
  15. Fri Dec 2 11:43:51 2022 A5: 2040
  16. Fri Dec 2 11:43:51 2022 skew 35984400.71, size 1.723e-15, alpha -7.601, combined = 1.555e-12 rroots = 3
  17. Fri Dec 2 11:43:51 2022
  18. Fri Dec 2 11:43:51 2022 commencing relation filtering
  19. Fri Dec 2 11:43:51 2022 setting target matrix density to 140.0
  20. Fri Dec 2 11:43:51 2022 estimated available RAM is 63624.2 MB
  21. Fri Dec 2 11:43:51 2022 commencing duplicate removal, pass 1
  22. Fri Dec 2 12:04:13 2022 found 5434402 hash collisions in 111758311 relations
  23. Fri Dec 2 12:04:47 2022 added 121449 free relations
  24. Fri Dec 2 12:04:47 2022 commencing duplicate removal, pass 2
  25. Fri Dec 2 12:05:19 2022 found 6 duplicates and 111879754 unique relations
  26. Fri Dec 2 12:05:19 2022 memory use: 378.4 MB
  27. Fri Dec 2 12:05:19 2022 reading ideals above 720000
  28. Fri Dec 2 12:05:19 2022 commencing singleton removal, initial pass
  29. Fri Dec 2 12:25:42 2022 memory use: 2756.0 MB
  30. Fri Dec 2 12:25:42 2022 reading all ideals from disk
  31. Fri Dec 2 12:25:45 2022 memory use: 4131.7 MB
  32. Fri Dec 2 12:25:57 2022 keeping 92469464 ideals with weight <= 200, target excess is 587315
  33. Fri Dec 2 12:26:12 2022 commencing in-memory singleton removal
  34. Fri Dec 2 12:26:23 2022 begin with 111879754 relations and 92469464 unique ideals
  35. Fri Dec 2 12:28:23 2022 reduce to 80809398 relations and 58812509 ideals in 11 passes
  36. Fri Dec 2 12:28:23 2022 max relations containing the same ideal: 170
  37. Fri Dec 2 12:29:07 2022 removing 7859799 relations and 5859799 ideals in 2000000 cliques
  38. Fri Dec 2 12:29:11 2022 commencing in-memory singleton removal
  39. Fri Dec 2 12:29:19 2022 begin with 72949599 relations and 58812509 unique ideals
  40. Fri Dec 2 12:30:19 2022 reduce to 72345180 relations and 52330055 ideals in 7 passes
  41. Fri Dec 2 12:30:19 2022 max relations containing the same ideal: 159
  42. Fri Dec 2 12:30:57 2022 removing 6258281 relations and 4258281 ideals in 2000000 cliques
  43. Fri Dec 2 12:31:01 2022 commencing in-memory singleton removal
  44. Fri Dec 2 12:31:09 2022 begin with 66086899 relations and 52330055 unique ideals
  45. Fri Dec 2 12:32:00 2022 reduce to 65676389 relations and 47650107 ideals in 7 passes
  46. Fri Dec 2 12:32:00 2022 max relations containing the same ideal: 149
  47. Fri Dec 2 12:32:32 2022 removing 5833684 relations and 3833684 ideals in 2000000 cliques
  48. Fri Dec 2 12:32:36 2022 commencing in-memory singleton removal
  49. Fri Dec 2 12:32:41 2022 begin with 59842705 relations and 47650107 unique ideals
  50. Fri Dec 2 12:33:36 2022 reduce to 59482301 relations and 43446018 ideals in 7 passes
  51. Fri Dec 2 12:33:36 2022 max relations containing the same ideal: 139
  52. Fri Dec 2 12:34:07 2022 removing 5615892 relations and 3615892 ideals in 2000000 cliques
  53. Fri Dec 2 12:34:11 2022 commencing in-memory singleton removal
  54. Fri Dec 2 12:34:16 2022 begin with 53866409 relations and 43446018 unique ideals
  55. Fri Dec 2 12:35:11 2022 reduce to 53521363 relations and 39474804 ideals in 7 passes
  56. Fri Dec 2 12:35:11 2022 max relations containing the same ideal: 132
  57. Fri Dec 2 12:35:43 2022 removing 5480019 relations and 3480019 ideals in 2000000 cliques
  58. Fri Dec 2 12:35:46 2022 commencing in-memory singleton removal
  59. Fri Dec 2 12:35:51 2022 begin with 48041344 relations and 39474804 unique ideals
  60. Fri Dec 2 12:36:28 2022 reduce to 47695983 relations and 35638300 ideals in 6 passes
  61. Fri Dec 2 12:36:28 2022 max relations containing the same ideal: 123
  62. Fri Dec 2 12:36:54 2022 removing 5390768 relations and 3390768 ideals in 2000000 cliques
  63. Fri Dec 2 12:36:57 2022 commencing in-memory singleton removal
  64. Fri Dec 2 12:37:01 2022 begin with 42305215 relations and 35638300 unique ideals
  65. Fri Dec 2 12:37:38 2022 reduce to 41947180 relations and 31876759 ideals in 6 passes
  66. Fri Dec 2 12:37:38 2022 max relations containing the same ideal: 116
  67. Fri Dec 2 12:38:03 2022 removing 5332522 relations and 3332522 ideals in 2000000 cliques
  68. Fri Dec 2 12:38:06 2022 commencing in-memory singleton removal
  69. Fri Dec 2 12:38:10 2022 begin with 36614658 relations and 31876759 unique ideals
  70. Fri Dec 2 12:38:37 2022 reduce to 36231342 relations and 28145737 ideals in 6 passes
  71. Fri Dec 2 12:38:37 2022 max relations containing the same ideal: 103
  72. Fri Dec 2 12:38:55 2022 removing 5298411 relations and 3298411 ideals in 2000000 cliques
  73. Fri Dec 2 12:38:58 2022 commencing in-memory singleton removal
  74. Fri Dec 2 12:39:00 2022 begin with 30932931 relations and 28145737 unique ideals
  75. Fri Dec 2 12:39:24 2022 reduce to 30507718 relations and 24402789 ideals in 6 passes
  76. Fri Dec 2 12:39:24 2022 max relations containing the same ideal: 96
  77. Fri Dec 2 12:39:40 2022 removing 5280012 relations and 3280012 ideals in 2000000 cliques
  78. Fri Dec 2 12:39:43 2022 commencing in-memory singleton removal
  79. Fri Dec 2 12:39:46 2022 begin with 25227706 relations and 24402789 unique ideals
  80. Fri Dec 2 12:40:09 2022 reduce to 24734216 relations and 20603028 ideals in 7 passes
  81. Fri Dec 2 12:40:09 2022 max relations containing the same ideal: 80
  82. Fri Dec 2 12:40:25 2022 removing 5282310 relations and 3282310 ideals in 2000000 cliques
  83. Fri Dec 2 12:40:27 2022 commencing in-memory singleton removal
  84. Fri Dec 2 12:40:29 2022 begin with 19451906 relations and 20603028 unique ideals
  85. Fri Dec 2 12:40:47 2022 reduce to 18851379 relations and 16680673 ideals in 8 passes
  86. Fri Dec 2 12:40:47 2022 max relations containing the same ideal: 69
  87. Fri Dec 2 12:40:58 2022 removing 4110679 relations and 2621259 ideals in 1489420 cliques
  88. Fri Dec 2 12:41:00 2022 commencing in-memory singleton removal
  89. Fri Dec 2 12:41:01 2022 begin with 14740700 relations and 16680673 unique ideals
  90. Fri Dec 2 12:41:16 2022 reduce to 14189127 relations and 13470785 ideals in 9 passes
  91. Fri Dec 2 12:41:16 2022 max relations containing the same ideal: 57
  92. Fri Dec 2 12:41:23 2022 removing 201476 relations and 164420 ideals in 37056 cliques
  93. Fri Dec 2 12:41:25 2022 commencing in-memory singleton removal
  94. Fri Dec 2 12:41:26 2022 begin with 13987651 relations and 13470785 unique ideals
  95. Fri Dec 2 12:41:34 2022 reduce to 13985242 relations and 13303952 ideals in 5 passes
  96. Fri Dec 2 12:41:34 2022 max relations containing the same ideal: 54
  97. Fri Dec 2 12:41:37 2022 relations with 0 large ideals: 1812
  98. Fri Dec 2 12:41:37 2022 relations with 1 large ideals: 19234
  99. Fri Dec 2 12:41:37 2022 relations with 2 large ideals: 230704
  100. Fri Dec 2 12:41:37 2022 relations with 3 large ideals: 1105667
  101. Fri Dec 2 12:41:37 2022 relations with 4 large ideals: 2724959
  102. Fri Dec 2 12:41:37 2022 relations with 5 large ideals: 3875802
  103. Fri Dec 2 12:41:37 2022 relations with 6 large ideals: 3403596
  104. Fri Dec 2 12:41:37 2022 relations with 7+ large ideals: 2623468
  105. Fri Dec 2 12:41:37 2022 commencing 2-way merge
  106. Fri Dec 2 12:41:46 2022 reduce to 9466859 relation sets and 8785569 unique ideals
  107. Fri Dec 2 12:41:46 2022 commencing full merge
  108. Fri Dec 2 12:45:33 2022 memory use: 1092.6 MB
  109. Fri Dec 2 12:45:34 2022 found 4044450 cycles, need 4025769
  110. Fri Dec 2 12:45:36 2022 weight of 4025769 cycles is about 563691587 (140.02/cycle)
  111. Fri Dec 2 12:45:36 2022 distribution of cycle lengths:
  112. Fri Dec 2 12:45:36 2022 1 relations: 67958
  113. Fri Dec 2 12:45:36 2022 2 relations: 167412
  114. Fri Dec 2 12:45:36 2022 3 relations: 225445
  115. Fri Dec 2 12:45:36 2022 4 relations: 251289
  116. Fri Dec 2 12:45:36 2022 5 relations: 278960
  117. Fri Dec 2 12:45:36 2022 6 relations: 287768
  118. Fri Dec 2 12:45:36 2022 7 relations: 291806
  119. Fri Dec 2 12:45:36 2022 8 relations: 285042
  120. Fri Dec 2 12:45:36 2022 9 relations: 273769
  121. Fri Dec 2 12:45:36 2022 10+ relations: 1896320
  122. Fri Dec 2 12:45:36 2022 heaviest cycle: 28 relations
  123. Fri Dec 2 12:45:37 2022 commencing cycle optimization
  124. Fri Dec 2 12:45:48 2022 start with 40321631 relations
  125. Fri Dec 2 12:47:39 2022 pruned 2414324 relations
  126. Fri Dec 2 12:47:39 2022 memory use: 988.8 MB
  127. Fri Dec 2 12:47:39 2022 distribution of cycle lengths:
  128. Fri Dec 2 12:47:39 2022 1 relations: 67958
  129. Fri Dec 2 12:47:39 2022 2 relations: 172991
  130. Fri Dec 2 12:47:39 2022 3 relations: 236979
  131. Fri Dec 2 12:47:39 2022 4 relations: 265759
  132. Fri Dec 2 12:47:39 2022 5 relations: 298264
  133. Fri Dec 2 12:47:39 2022 6 relations: 307881
  134. Fri Dec 2 12:47:39 2022 7 relations: 314378
  135. Fri Dec 2 12:47:39 2022 8 relations: 306012
  136. Fri Dec 2 12:47:39 2022 9 relations: 292994
  137. Fri Dec 2 12:47:39 2022 10+ relations: 1762553
  138. Fri Dec 2 12:47:39 2022 heaviest cycle: 28 relations
  139. Fri Dec 2 12:47:48 2022 RelProcTime: 3837
  140. Fri Dec 2 12:47:48 2022 elapsed time 01:03:58
  141. Fri Dec 2 12:48:57 2022
  142. Fri Dec 2 12:48:57 2022
  143. Fri Dec 2 12:48:57 2022 Msieve v. 1.54 (SVN 1043M)
  144. Fri Dec 2 12:48:57 2022 random seeds: 03fb1d86 34632814
  145. Fri Dec 2 12:48:57 2022 factoring 410616141382564602826087521165327154755212516128575863229171980087238769765697125293993833898972368475901327315697642586637118505590699645468529110338238588891 (159 digits)
  146. Fri Dec 2 12:48:58 2022 searching for 15-digit factors
  147. Fri Dec 2 12:48:58 2022 commencing number field sieve (159-digit input)
  148. Fri Dec 2 12:48:58 2022 R0: -11501674904939595685527775534026
  149. Fri Dec 2 12:48:58 2022 R1: 65304476219438129
  150. Fri Dec 2 12:48:58 2022 A0: 63056715519238944469479844470548968044235
  151. Fri Dec 2 12:48:58 2022 A1: -5333815164396626602833712668073566
  152. Fri Dec 2 12:48:58 2022 A2: -525604350109070246847087689
  153. Fri Dec 2 12:48:58 2022 A3: 19411185945822198714
  154. Fri Dec 2 12:48:58 2022 A4: 338911752226
  155. Fri Dec 2 12:48:58 2022 A5: 2040
  156. Fri Dec 2 12:48:58 2022 skew 35984400.71, size 1.723e-15, alpha -7.601, combined = 1.555e-12 rroots = 3
  157. Fri Dec 2 12:48:58 2022
  158. Fri Dec 2 12:48:58 2022 commencing linear algebra
  159. Fri Dec 2 12:48:59 2022 read 4025769 cycles
  160. Fri Dec 2 12:49:10 2022 cycles contain 13664358 unique relations
  161. Fri Dec 2 12:50:36 2022 read 13664358 relations
  162. Fri Dec 2 12:51:02 2022 using 20 quadratic characters above 4294917295
  163. Fri Dec 2 12:52:23 2022 building initial matrix
  164. Fri Dec 2 12:56:18 2022 memory use: 1900.2 MB
  165. Fri Dec 2 12:56:21 2022 read 4025769 cycles
  166. Fri Dec 2 12:56:22 2022 matrix is 4025591 x 4025769 (2137.4 MB) with weight 646691592 (160.64/col)
  167. Fri Dec 2 12:56:22 2022 sparse part has weight 511995014 (127.18/col)
  168. Fri Dec 2 12:57:21 2022 filtering completed in 2 passes
  169. Fri Dec 2 12:57:22 2022 matrix is 4025544 x 4025722 (2137.4 MB) with weight 646688406 (160.64/col)
  170. Fri Dec 2 12:57:22 2022 sparse part has weight 511993557 (127.18/col)
  171. Fri Dec 2 12:58:24 2022 matrix starts at (0, 0)
  172. Fri Dec 2 12:58:24 2022 matrix is 4025544 x 4025722 (2137.4 MB) with weight 646688406 (160.64/col)
  173. Fri Dec 2 12:58:24 2022 sparse part has weight 511993557 (127.18/col)
  174. Fri Dec 2 12:58:24 2022 saving the first 48 matrix rows for later
  175. Fri Dec 2 12:58:25 2022 matrix includes 64 packed rows
  176. Fri Dec 2 12:58:26 2022 matrix is 4025496 x 4025722 (2073.4 MB) with weight 559037066 (138.87/col)
  177. Fri Dec 2 12:58:26 2022 sparse part has weight 503264418 (125.01/col)
  178. Fri Dec 2 12:58:26 2022 using block size 8192 and superblock size 3514368 for processor cache size 36608 kB
  179. Fri Dec 2 12:58:44 2022 commencing Lanczos iteration
  180. Fri Dec 2 12:58:44 2022 memory use: 1898.7 MB
  181. Fri Dec 2 12:59:11 2022 lanczos halted after 11 iterations (dim = 692)
  182. Fri Dec 2 12:59:11 2022 BLanczosTime: 613
  183. Fri Dec 2 12:59:11 2022 elapsed time 00:10:14
  184. Fri Dec 2 20:13:18 2022
  185. Fri Dec 2 20:13:18 2022
  186. Fri Dec 2 20:13:18 2022 Msieve v. 1.54 (SVN 1043M)
  187. Fri Dec 2 20:13:18 2022 random seeds: b5d5d26e efcb1a56
  188. Fri Dec 2 20:13:18 2022 factoring 410616141382564602826087521165327154755212516128575863229171980087238769765697125293993833898972368475901327315697642586637118505590699645468529110338238588891 (159 digits)
  189. Fri Dec 2 20:13:19 2022 searching for 15-digit factors
  190. Fri Dec 2 20:13:19 2022 commencing number field sieve (159-digit input)
  191. Fri Dec 2 20:13:19 2022 R0: -11501674904939595685527775534026
  192. Fri Dec 2 20:13:19 2022 R1: 65304476219438129
  193. Fri Dec 2 20:13:19 2022 A0: 63056715519238944469479844470548968044235
  194. Fri Dec 2 20:13:19 2022 A1: -5333815164396626602833712668073566
  195. Fri Dec 2 20:13:19 2022 A2: -525604350109070246847087689
  196. Fri Dec 2 20:13:19 2022 A3: 19411185945822198714
  197. Fri Dec 2 20:13:19 2022 A4: 338911752226
  198. Fri Dec 2 20:13:19 2022 A5: 2040
  199. Fri Dec 2 20:13:19 2022 skew 35984400.71, size 1.723e-15, alpha -7.601, combined = 1.555e-12 rroots = 3
  200. Fri Dec 2 20:13:19 2022
  201. Fri Dec 2 20:13:19 2022 commencing linear algebra
  202. Fri Dec 2 20:13:19 2022 skipping matrix build
  203. Fri Dec 2 20:13:21 2022 matrix starts at (0, 0)
  204. Fri Dec 2 20:13:22 2022 matrix is 4025544 x 4025722 (2137.4 MB) with weight 646688406 (160.64/col)
  205. Fri Dec 2 20:13:22 2022 sparse part has weight 511993557 (127.18/col)
  206. Fri Dec 2 20:13:22 2022 saving the first 48 matrix rows for later
  207. Fri Dec 2 20:13:24 2022 matrix includes 64 packed rows
  208. Fri Dec 2 20:13:24 2022 matrix is 4025496 x 4025722 (2073.4 MB) with weight 559037066 (138.87/col)
  209. Fri Dec 2 20:13:24 2022 sparse part has weight 503264418 (125.01/col)
  210. Fri Dec 2 20:13:24 2022 using block size 8192 and superblock size 3514368 for processor cache size 36608 kB
  211. Fri Dec 2 20:13:47 2022 commencing Lanczos iteration (4 threads)
  212. Fri Dec 2 20:13:47 2022 memory use: 1898.8 MB
  213. Fri Dec 2 20:14:10 2022 linear algebra at 0.0%, ETA 16h12m
  214. Fri Dec 2 20:14:16 2022 checkpointing every 270000 dimensions
  215. Sat Dec 3 07:14:18 2022 lanczos halted after 63656 iterations (dim = 4025496)
  216. Sat Dec 3 07:14:22 2022 recovered 30 nontrivial dependencies
  217. Sat Dec 3 07:14:22 2022 BLanczosTime: 39663
  218. Sat Dec 3 07:14:22 2022
  219. Sat Dec 3 07:14:22 2022 commencing square root phase
  220. Sat Dec 3 07:14:22 2022 handling dependencies 1 to 64
  221. Sat Dec 3 07:14:22 2022 reading relations for dependency 1
  222. Sat Dec 3 07:14:22 2022 read 2012232 cycles
  223. Sat Dec 3 07:14:28 2022 cycles contain 6831514 unique relations
  224. Sat Dec 3 07:15:16 2022 read 6831514 relations
  225. Sat Dec 3 07:15:57 2022 multiplying 6831514 relations
  226. Sat Dec 3 07:23:56 2022 multiply complete, coefficients have about 334.34 million bits
  227. Sat Dec 3 07:23:58 2022 initial square root is modulo 998083
  228. Sat Dec 3 07:33:33 2022 GCD is 1, no factor found
  229. Sat Dec 3 07:33:33 2022 reading relations for dependency 2
  230. Sat Dec 3 07:33:34 2022 read 2012931 cycles
  231. Sat Dec 3 07:33:40 2022 cycles contain 6834340 unique relations
  232. Sat Dec 3 07:34:38 2022 read 6834340 relations
  233. Sat Dec 3 07:35:14 2022 multiplying 6834340 relations
  234. Sat Dec 3 07:44:04 2022 multiply complete, coefficients have about 334.48 million bits
  235. Sat Dec 3 07:44:06 2022 initial square root is modulo 1003841
  236. Sat Dec 3 07:55:08 2022 sqrtTime: 2446
  237. Sat Dec 3 07:55:08 2022 p59 factor: 70688482376504092622678720142840845288447177240411490660863
  238. Sat Dec 3 07:55:08 2022 p100 factor: 5808812519068140635967831364222748076966242893023623877598865918435132930197451610406444743964561957
  239. Sat Dec 3 07:55:08 2022 elapsed time 11:41:50
  240.  
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