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Jul 4th, 2024
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  1. Wed Jul 3 21:51:48 2024
  2. Wed Jul 3 21:51:48 2024
  3. Wed Jul 3 21:51:48 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Wed Jul 3 21:51:48 2024 random seeds: d41b24c8 05d100da
  5. Wed Jul 3 21:51:48 2024 MPI process 0 of 1
  6. Wed Jul 3 21:51:48 2024 Using 64 OpenMP threads
  7. Wed Jul 3 21:51:48 2024 factoring 33172782380057208646564239341013242526471273283917889188664411367262293551055459626572126285817107149894321758106650814323088476286234761572794828242151981998020702735127027 (173 digits)
  8. Wed Jul 3 21:51:49 2024 searching for 15-digit factors
  9. Wed Jul 3 21:51:49 2024 commencing number field sieve (173-digit input)
  10. Wed Jul 3 21:51:49 2024 R0: -4786759273671283032219606140518581
  11. Wed Jul 3 21:51:49 2024 R1: 988967378463943409
  12. Wed Jul 3 21:51:49 2024 A0: -173591717030537808912966499585842571551616
  13. Wed Jul 3 21:51:49 2024 A1: 15981030881486206731973972003044368
  14. Wed Jul 3 21:51:49 2024 A2: 1266296299664866181925889422
  15. Wed Jul 3 21:51:49 2024 A3: -55861295452435212217
  16. Wed Jul 3 21:51:49 2024 A4: 4670113396058
  17. Wed Jul 3 21:51:49 2024 A5: 13200
  18. Wed Jul 3 21:51:49 2024 skew 29517112.72, size 8.068e-17, alpha -6.487, combined = 2.533e-13 rroots = 3
  19. Wed Jul 3 21:51:49 2024
  20. Wed Jul 3 21:51:49 2024 commencing relation filtering
  21. Wed Jul 3 21:51:49 2024 setting target matrix density to 120.0
  22. Wed Jul 3 21:51:49 2024 estimated available RAM is 257736.5 MB
  23. Wed Jul 3 21:51:49 2024 commencing duplicate removal, pass 1
  24. Wed Jul 3 21:52:25 2024 error -1 reading relation 22245526
  25. Wed Jul 3 21:52:27 2024 error -1 reading relation 23730515
  26. Wed Jul 3 21:53:26 2024 error -1 reading relation 49676539
  27. Wed Jul 3 21:53:34 2024 error -1 reading relation 54991777
  28. Wed Jul 3 21:53:36 2024 error -1 reading relation 56134630
  29. Wed Jul 3 21:54:12 2024 error -1 reading relation 75681447
  30. Wed Jul 3 21:54:16 2024 error -1 reading relation 78249472
  31. Wed Jul 3 21:54:18 2024 error -1 reading relation 79259129
  32. Wed Jul 3 21:54:20 2024 error -5 reading relation 80871116
  33. Wed Jul 3 21:54:20 2024 error -15 reading relation 80977027
  34. Wed Jul 3 21:54:21 2024 error -11 reading relation 81007269
  35. Wed Jul 3 21:54:23 2024 error -1 reading relation 82542275
  36. Wed Jul 3 21:54:27 2024 error -1 reading relation 83902597
  37. Wed Jul 3 21:54:27 2024 error -1 reading relation 84185962
  38. Wed Jul 3 21:54:37 2024 error -1 reading relation 89740603
  39. Wed Jul 3 21:54:44 2024 error -1 reading relation 93687695
  40. Wed Jul 3 21:54:45 2024 error -1 reading relation 94185226
  41. Wed Jul 3 21:54:52 2024 error -1 reading relation 98970904
  42. Wed Jul 3 21:55:36 2024 error -1 reading relation 121848040
  43. Wed Jul 3 21:55:37 2024 error -11 reading relation 122350056
  44. Wed Jul 3 21:55:37 2024 error -1 reading relation 122794115
  45. Wed Jul 3 21:55:41 2024 error -1 reading relation 124974620
  46. Wed Jul 3 21:55:59 2024 error -1 reading relation 134733873
  47. Wed Jul 3 21:56:04 2024 error -1 reading relation 136287363
  48. Wed Jul 3 21:56:29 2024 error -1 reading relation 147744472
  49. Wed Jul 3 21:56:38 2024 skipped 1 relations with b > 2^32
  50. Wed Jul 3 21:56:38 2024 skipped 1 relations with composite factors
  51. Wed Jul 3 21:56:38 2024 skipped 149 malformed relations
  52. Wed Jul 3 21:56:38 2024 found 39785900 hash collisions in 154296838 relations
  53. Wed Jul 3 21:57:00 2024 added 122283 free relations
  54. Wed Jul 3 21:57:00 2024 commencing duplicate removal, pass 2
  55. Wed Jul 3 21:59:50 2024 found 44385861 duplicates and 110033260 unique relations
  56. Wed Jul 3 21:59:50 2024 memory use: 1193.5 MB
  57. Wed Jul 3 21:59:50 2024 reading ideals above 720000
  58. Wed Jul 3 21:59:50 2024 commencing singleton removal, initial pass
  59. Wed Jul 3 22:05:05 2024 memory use: 2756.0 MB
  60. Wed Jul 3 22:05:06 2024 reading all ideals from disk
  61. Wed Jul 3 22:05:07 2024 memory use: 5215.1 MB
  62. Wed Jul 3 22:05:18 2024 keeping 95883653 ideals with weight <= 200, target excess is 592452
  63. Wed Jul 3 22:05:30 2024 commencing in-memory singleton removal
  64. Wed Jul 3 22:05:31 2024 begin with 110033260 relations and 95883653 unique ideals
  65. Wed Jul 3 22:05:35 2024 reduce to 82921000 relations and 66783671 ideals in 11 passes
  66. Wed Jul 3 22:05:35 2024 max relations containing the same ideal: 175
  67. Wed Jul 3 22:06:00 2024 removing 8205045 relations and 6205045 ideals in 2000000 cliques
  68. Wed Jul 3 22:06:04 2024 commencing in-memory singleton removal
  69. Wed Jul 3 22:06:06 2024 begin with 74715955 relations and 66783671 unique ideals
  70. Wed Jul 3 22:06:11 2024 reduce to 74021689 relations and 59863661 ideals in 8 passes
  71. Wed Jul 3 22:06:11 2024 max relations containing the same ideal: 165
  72. Wed Jul 3 22:06:37 2024 removing 6604616 relations and 4604616 ideals in 2000000 cliques
  73. Wed Jul 3 22:06:40 2024 commencing in-memory singleton removal
  74. Wed Jul 3 22:06:41 2024 begin with 67417073 relations and 59863661 unique ideals
  75. Wed Jul 3 22:06:43 2024 reduce to 66919096 relations and 54747663 ideals in 7 passes
  76. Wed Jul 3 22:06:43 2024 max relations containing the same ideal: 158
  77. Wed Jul 3 22:07:10 2024 removing 6204005 relations and 4204005 ideals in 2000000 cliques
  78. Wed Jul 3 22:07:14 2024 commencing in-memory singleton removal
  79. Wed Jul 3 22:07:15 2024 begin with 60715091 relations and 54747663 unique ideals
  80. Wed Jul 3 22:07:18 2024 reduce to 60248834 relations and 50064587 ideals in 7 passes
  81. Wed Jul 3 22:07:18 2024 max relations containing the same ideal: 148
  82. Wed Jul 3 22:07:36 2024 removing 6037209 relations and 4037209 ideals in 2000000 cliques
  83. Wed Jul 3 22:07:38 2024 commencing in-memory singleton removal
  84. Wed Jul 3 22:07:39 2024 begin with 54211625 relations and 50064587 unique ideals
  85. Wed Jul 3 22:07:40 2024 reduce to 53737457 relations and 45539172 ideals in 7 passes
  86. Wed Jul 3 22:07:40 2024 max relations containing the same ideal: 134
  87. Wed Jul 3 22:07:57 2024 removing 5977018 relations and 3977018 ideals in 2000000 cliques
  88. Wed Jul 3 22:07:59 2024 commencing in-memory singleton removal
  89. Wed Jul 3 22:08:00 2024 begin with 47760439 relations and 45539172 unique ideals
  90. Wed Jul 3 22:08:01 2024 reduce to 47249014 relations and 41033999 ideals in 7 passes
  91. Wed Jul 3 22:08:01 2024 max relations containing the same ideal: 123
  92. Wed Jul 3 22:08:16 2024 removing 5986644 relations and 3986644 ideals in 2000000 cliques
  93. Wed Jul 3 22:08:19 2024 commencing in-memory singleton removal
  94. Wed Jul 3 22:08:19 2024 begin with 41262370 relations and 41033999 unique ideals
  95. Wed Jul 3 22:08:20 2024 reduce to 40681772 relations and 36445696 ideals in 7 passes
  96. Wed Jul 3 22:08:20 2024 max relations containing the same ideal: 108
  97. Wed Jul 3 22:08:34 2024 removing 6051945 relations and 4051945 ideals in 2000000 cliques
  98. Wed Jul 3 22:08:36 2024 commencing in-memory singleton removal
  99. Wed Jul 3 22:08:36 2024 begin with 34629827 relations and 36445696 unique ideals
  100. Wed Jul 3 22:08:37 2024 reduce to 33931900 relations and 31666671 ideals in 8 passes
  101. Wed Jul 3 22:08:37 2024 max relations containing the same ideal: 97
  102. Wed Jul 3 22:08:49 2024 removing 5111138 relations and 3533154 ideals in 1577984 cliques
  103. Wed Jul 3 22:08:51 2024 commencing in-memory singleton removal
  104. Wed Jul 3 22:08:51 2024 begin with 28820762 relations and 31666671 unique ideals
  105. Wed Jul 3 22:08:52 2024 reduce to 28205488 relations and 27493581 ideals in 8 passes
  106. Wed Jul 3 22:08:52 2024 max relations containing the same ideal: 87
  107. Wed Jul 3 22:09:02 2024 removing 170877 relations and 146215 ideals in 24662 cliques
  108. Wed Jul 3 22:09:03 2024 commencing in-memory singleton removal
  109. Wed Jul 3 22:09:03 2024 begin with 28034611 relations and 27493581 unique ideals
  110. Wed Jul 3 22:09:03 2024 reduce to 28033941 relations and 27346696 ideals in 5 passes
  111. Wed Jul 3 22:09:03 2024 max relations containing the same ideal: 86
  112. Wed Jul 3 22:09:07 2024 relations with 0 large ideals: 2017
  113. Wed Jul 3 22:09:07 2024 relations with 1 large ideals: 6008
  114. Wed Jul 3 22:09:07 2024 relations with 2 large ideals: 91545
  115. Wed Jul 3 22:09:07 2024 relations with 3 large ideals: 629825
  116. Wed Jul 3 22:09:07 2024 relations with 4 large ideals: 2354791
  117. Wed Jul 3 22:09:07 2024 relations with 5 large ideals: 5294037
  118. Wed Jul 3 22:09:07 2024 relations with 6 large ideals: 7513879
  119. Wed Jul 3 22:09:07 2024 relations with 7+ large ideals: 12141839
  120. Wed Jul 3 22:09:07 2024 commencing 2-way merge
  121. Wed Jul 3 22:09:22 2024 reduce to 18789141 relation sets and 18101896 unique ideals
  122. Wed Jul 3 22:09:22 2024 commencing full merge
  123. Wed Jul 3 22:17:09 2024 memory use: 2274.3 MB
  124. Wed Jul 3 22:17:10 2024 found 8409996 cycles, need 8362096
  125. Wed Jul 3 22:17:13 2024 weight of 8362096 cycles is about 1004211562 (120.09/cycle)
  126. Wed Jul 3 22:17:13 2024 distribution of cycle lengths:
  127. Wed Jul 3 22:17:13 2024 1 relations: 423864
  128. Wed Jul 3 22:17:13 2024 2 relations: 556333
  129. Wed Jul 3 22:17:13 2024 3 relations: 630598
  130. Wed Jul 3 22:17:13 2024 4 relations: 643194
  131. Wed Jul 3 22:17:13 2024 5 relations: 661323
  132. Wed Jul 3 22:17:13 2024 6 relations: 643493
  133. Wed Jul 3 22:17:13 2024 7 relations: 628985
  134. Wed Jul 3 22:17:13 2024 8 relations: 590000
  135. Wed Jul 3 22:17:13 2024 9 relations: 546374
  136. Wed Jul 3 22:17:13 2024 10+ relations: 3037932
  137. Wed Jul 3 22:17:13 2024 heaviest cycle: 28 relations
  138. Wed Jul 3 22:17:15 2024 commencing cycle optimization
  139. Wed Jul 3 22:17:33 2024 start with 70018036 relations
  140. Wed Jul 3 22:21:08 2024 pruned 3465274 relations
  141. Wed Jul 3 22:21:08 2024 memory use: 1875.9 MB
  142. Wed Jul 3 22:21:08 2024 distribution of cycle lengths:
  143. Wed Jul 3 22:21:08 2024 1 relations: 423864
  144. Wed Jul 3 22:21:08 2024 2 relations: 572981
  145. Wed Jul 3 22:21:08 2024 3 relations: 661447
  146. Wed Jul 3 22:21:08 2024 4 relations: 674490
  147. Wed Jul 3 22:21:08 2024 5 relations: 698702
  148. Wed Jul 3 22:21:08 2024 6 relations: 679346
  149. Wed Jul 3 22:21:08 2024 7 relations: 663995
  150. Wed Jul 3 22:21:08 2024 8 relations: 620250
  151. Wed Jul 3 22:21:08 2024 9 relations: 570032
  152. Wed Jul 3 22:21:08 2024 10+ relations: 2796989
  153. Wed Jul 3 22:21:08 2024 heaviest cycle: 28 relations
  154. Wed Jul 3 22:21:17 2024 RelProcTime: 1768
  155. Wed Jul 3 22:21:17 2024
  156. Wed Jul 3 22:21:17 2024 commencing linear algebra
  157. Wed Jul 3 22:21:17 2024 using VBITS=256
  158. Wed Jul 3 22:21:17 2024 initialized process (0,0) of 1 x 1 grid
  159. Wed Jul 3 22:21:18 2024 read 8362096 cycles
  160. Wed Jul 3 22:21:30 2024 cycles contain 27657939 unique relations
  161. Wed Jul 3 22:24:16 2024 read 27657939 relations
  162. Wed Jul 3 22:24:19 2024 using 20 quadratic characters above 4294917295
  163. Wed Jul 3 22:24:25 2024 building initial matrix
  164. Wed Jul 3 22:31:43 2024 memory use: 3827.9 MB
  165. Wed Jul 3 22:31:49 2024 read 8362096 cycles
  166. Wed Jul 3 22:31:50 2024 matrix is 8361917 x 8362096 (3891.3 MB) with weight 1179719386 (141.08/col)
  167. Wed Jul 3 22:31:50 2024 sparse part has weight 928107731 (110.99/col)
  168. Wed Jul 3 22:33:33 2024 filtering completed in 2 passes
  169. Wed Jul 3 22:33:34 2024 matrix is 8361599 x 8361777 (3891.3 MB) with weight 1179703299 (141.08/col)
  170. Wed Jul 3 22:33:34 2024 sparse part has weight 928101934 (110.99/col)
  171. Wed Jul 3 22:34:29 2024 matrix starts at (0, 0)
  172. Wed Jul 3 22:34:30 2024 matrix is 8361599 x 8361777 (3891.3 MB) with weight 1179703299 (141.08/col)
  173. Wed Jul 3 22:34:30 2024 sparse part has weight 928101934 (110.99/col)
  174. Wed Jul 3 22:34:30 2024 saving the first 240 matrix rows for later
  175. Wed Jul 3 22:34:31 2024 matrix includes 256 packed rows
  176. Wed Jul 3 22:34:34 2024 matrix is 8361359 x 8361777 (3535.8 MB) with weight 843613869 (100.89/col)
  177. Wed Jul 3 22:34:34 2024 sparse part has weight 793090835 (94.85/col)
  178. Wed Jul 3 22:34:34 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  179. Wed Jul 3 22:34:53 2024 commencing Lanczos iteration (64 threads)
  180. Wed Jul 3 22:34:53 2024 memory use: 5129.4 MB
  181. Wed Jul 3 22:39:05 2024 linear algebra at 0.4%, ETA 18h53m
  182. Thu Jul 4 08:52:33 2024
  183. Thu Jul 4 08:52:33 2024
  184. Thu Jul 4 08:52:33 2024 Msieve v. 1.54 (SVN Unversioned directory)
  185. Thu Jul 4 08:52:33 2024 random seeds: 6b1e1c01 d168cec2
  186. Thu Jul 4 08:52:33 2024 MPI process 0 of 1
  187. Thu Jul 4 08:52:33 2024 Using 64 OpenMP threads
  188. Thu Jul 4 08:52:33 2024 factoring 33172782380057208646564239341013242526471273283917889188664411367262293551055459626572126285817107149894321758106650814323088476286234761572794828242151981998020702735127027 (173 digits)
  189. Thu Jul 4 08:52:33 2024 searching for 15-digit factors
  190. Thu Jul 4 08:52:34 2024 commencing number field sieve (173-digit input)
  191. Thu Jul 4 08:52:34 2024 R0: -4786759273671283032219606140518581
  192. Thu Jul 4 08:52:34 2024 R1: 988967378463943409
  193. Thu Jul 4 08:52:34 2024 A0: -173591717030537808912966499585842571551616
  194. Thu Jul 4 08:52:34 2024 A1: 15981030881486206731973972003044368
  195. Thu Jul 4 08:52:34 2024 A2: 1266296299664866181925889422
  196. Thu Jul 4 08:52:34 2024 A3: -55861295452435212217
  197. Thu Jul 4 08:52:34 2024 A4: 4670113396058
  198. Thu Jul 4 08:52:34 2024 A5: 13200
  199. Thu Jul 4 08:52:34 2024 skew 29517112.72, size 8.068e-17, alpha -6.487, combined = 2.533e-13 rroots = 3
  200. Thu Jul 4 08:52:34 2024
  201. Thu Jul 4 08:52:34 2024 commencing linear algebra
  202. Thu Jul 4 08:52:34 2024 using VBITS=256
  203. Thu Jul 4 08:52:34 2024 skipping matrix build
  204. Thu Jul 4 08:52:34 2024 initialized process (0,0) of 1 x 1 grid
  205. Thu Jul 4 08:52:37 2024 matrix starts at (0, 0)
  206. Thu Jul 4 08:52:39 2024 matrix is 8361599 x 8361777 (3891.3 MB) with weight 1179703299 (141.08/col)
  207. Thu Jul 4 08:52:39 2024 sparse part has weight 928101934 (110.99/col)
  208. Thu Jul 4 08:52:39 2024 saving the first 240 matrix rows for later
  209. Thu Jul 4 08:52:40 2024 matrix includes 256 packed rows
  210. Thu Jul 4 08:52:43 2024 matrix is 8361359 x 8361777 (3535.8 MB) with weight 843613869 (100.89/col)
  211. Thu Jul 4 08:52:43 2024 sparse part has weight 793090835 (94.85/col)
  212. Thu Jul 4 08:52:43 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  213. Thu Jul 4 08:53:00 2024 commencing Lanczos iteration (64 threads)
  214. Thu Jul 4 08:53:00 2024 memory use: 5129.4 MB
  215. Thu Jul 4 08:54:14 2024 linear algebra at 0.4%, ETA 5h26m
  216. Thu Jul 4 08:55:56 2024 checking every 20000 dimensions, checkpointing every 1600000 dimensions
  217. Thu Jul 4 14:05:46 2024 lanczos halted after 32761 iterations (dim = 8361359)
  218. Thu Jul 4 14:06:14 2024 recovered 30 nontrivial dependencies
  219. Thu Jul 4 14:06:15 2024 BLanczosTime: 18821
  220. Thu Jul 4 14:06:15 2024
  221. Thu Jul 4 14:06:15 2024 commencing square root phase
  222. Thu Jul 4 14:06:15 2024 handling dependencies 1 to 64
  223. Thu Jul 4 14:06:15 2024 reading relations for dependency 1
  224. Thu Jul 4 14:06:15 2024 read 4179178 cycles
  225. Thu Jul 4 14:06:21 2024 cycles contain 13827952 unique relations
  226. Thu Jul 4 14:08:20 2024 read 13827952 relations
  227. Thu Jul 4 14:09:09 2024 multiplying 13827952 relations
  228. Thu Jul 4 14:10:25 2024 multiply complete, coefficients have about 749.28 million bits
  229. Thu Jul 4 14:10:27 2024 initial square root is modulo 5274431
  230. Thu Jul 4 14:14:23 2024 sqrtTime: 488
  231. Thu Jul 4 14:14:23 2024 p75 factor: 125109163149668308356882957603866378728417208225371926312090526369388468527
  232. Thu Jul 4 14:14:23 2024 p99 factor: 265150701554709879125560737064647251729979082667672489870297827966247745917758376859543563758885501
  233. Thu Jul 4 14:14:23 2024 elapsed time 05:21:50
  234.  
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