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Jul 9th, 2024
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  1. Tue Jul 9 14:58:27 2024
  2. Tue Jul 9 14:58:27 2024
  3. Tue Jul 9 14:58:27 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue Jul 9 14:58:27 2024 random seeds: 7e09c38d b0c39da8
  5. Tue Jul 9 14:58:27 2024 MPI process 0 of 1
  6. Tue Jul 9 14:58:27 2024 Using 32 OpenMP threads
  7. Tue Jul 9 14:58:27 2024 factoring 2769605590703042966215441225993000200136536472751606196650643655211583088486972010637768285510328229322329123980312956818261710152824804325814940339890689009831073 (163 digits)
  8. Tue Jul 9 14:58:28 2024 searching for 15-digit factors
  9. Tue Jul 9 14:58:28 2024 commencing number field sieve (163-digit input)
  10. Tue Jul 9 14:58:28 2024 R0: -40103413171191652602176983615220
  11. Tue Jul 9 14:58:28 2024 R1: 79263349710946051
  12. Tue Jul 9 14:58:28 2024 A0: -119059469177775577895056937096607912702597
  13. Tue Jul 9 14:58:28 2024 A1: 28153880253018849250987869708289856
  14. Tue Jul 9 14:58:28 2024 A2: 14991739516975666143926314
  15. Tue Jul 9 14:58:28 2024 A3: -122335526641323970384
  16. Tue Jul 9 14:58:28 2024 A4: -544687394009
  17. Tue Jul 9 14:58:28 2024 A5: 26700
  18. Tue Jul 9 14:58:28 2024 skew 29574169.48, size 7.154e-16, alpha -7.508, combined = 9.230e-13 rroots = 5
  19. Tue Jul 9 14:58:28 2024
  20. Tue Jul 9 14:58:28 2024 commencing relation filtering
  21. Tue Jul 9 14:58:28 2024 setting target matrix density to 130.0
  22. Tue Jul 9 14:58:28 2024 estimated available RAM is 257736.5 MB
  23. Tue Jul 9 14:58:28 2024 commencing duplicate removal, pass 1
  24. Tue Jul 9 15:00:10 2024 error -1 reading relation 41929922
  25. Tue Jul 9 15:01:27 2024 error -1 reading relation 68085210
  26. Tue Jul 9 15:01:28 2024 error -1 reading relation 68315051
  27. Tue Jul 9 15:01:52 2024 error -1 reading relation 73155847
  28. Tue Jul 9 15:03:01 2024 error -1 reading relation 91362096
  29. Tue Jul 9 15:03:02 2024 error -1 reading relation 92196359
  30. Tue Jul 9 15:03:21 2024 error -1 reading relation 100128301
  31. Tue Jul 9 15:03:42 2024 error -1 reading relation 107827783
  32. Tue Jul 9 15:03:53 2024 error -1 reading relation 111936528
  33. Tue Jul 9 15:04:23 2024 error -1 reading relation 124678252
  34. Tue Jul 9 15:04:26 2024 error -1 reading relation 127185446
  35. Tue Jul 9 15:04:29 2024 skipped 1 relations with b > 2^32
  36. Tue Jul 9 15:04:29 2024 skipped 77 malformed relations
  37. Tue Jul 9 15:04:29 2024 found 26222554 hash collisions in 128722331 relations
  38. Tue Jul 9 15:04:51 2024 added 121964 free relations
  39. Tue Jul 9 15:04:51 2024 commencing duplicate removal, pass 2
  40. Tue Jul 9 15:07:21 2024 found 27625217 duplicates and 101219078 unique relations
  41. Tue Jul 9 15:07:21 2024 memory use: 852.8 MB
  42. Tue Jul 9 15:07:21 2024 reading ideals above 720000
  43. Tue Jul 9 15:07:21 2024 commencing singleton removal, initial pass
  44. Tue Jul 9 15:13:43 2024 memory use: 2756.0 MB
  45. Tue Jul 9 15:13:44 2024 reading all ideals from disk
  46. Tue Jul 9 15:13:45 2024 memory use: 4575.3 MB
  47. Tue Jul 9 15:13:55 2024 keeping 90778878 ideals with weight <= 200, target excess is 532126
  48. Tue Jul 9 15:14:06 2024 commencing in-memory singleton removal
  49. Tue Jul 9 15:14:07 2024 begin with 101219078 relations and 90778878 unique ideals
  50. Tue Jul 9 15:14:12 2024 reduce to 67339041 relations and 53604391 ideals in 14 passes
  51. Tue Jul 9 15:14:12 2024 max relations containing the same ideal: 158
  52. Tue Jul 9 15:14:34 2024 removing 8678466 relations and 6678466 ideals in 2000000 cliques
  53. Tue Jul 9 15:14:37 2024 commencing in-memory singleton removal
  54. Tue Jul 9 15:14:38 2024 begin with 58660575 relations and 53604391 unique ideals
  55. Tue Jul 9 15:14:40 2024 reduce to 57807896 relations and 46042863 ideals in 9 passes
  56. Tue Jul 9 15:14:40 2024 max relations containing the same ideal: 145
  57. Tue Jul 9 15:15:19 2024 removing 6848913 relations and 4848913 ideals in 2000000 cliques
  58. Tue Jul 9 15:15:23 2024 commencing in-memory singleton removal
  59. Tue Jul 9 15:15:24 2024 begin with 50958983 relations and 46042863 unique ideals
  60. Tue Jul 9 15:15:29 2024 reduce to 50350487 relations and 40564973 ideals in 8 passes
  61. Tue Jul 9 15:15:29 2024 max relations containing the same ideal: 135
  62. Tue Jul 9 15:16:01 2024 removing 6359857 relations and 4359857 ideals in 2000000 cliques
  63. Tue Jul 9 15:16:05 2024 commencing in-memory singleton removal
  64. Tue Jul 9 15:16:06 2024 begin with 43990630 relations and 40564973 unique ideals
  65. Tue Jul 9 15:16:10 2024 reduce to 43428471 relations and 35622751 ideals in 7 passes
  66. Tue Jul 9 15:16:10 2024 max relations containing the same ideal: 124
  67. Tue Jul 9 15:16:34 2024 removing 6116758 relations and 4116758 ideals in 2000000 cliques
  68. Tue Jul 9 15:16:35 2024 commencing in-memory singleton removal
  69. Tue Jul 9 15:16:36 2024 begin with 37311713 relations and 35622751 unique ideals
  70. Tue Jul 9 15:16:37 2024 reduce to 36742060 relations and 30913273 ideals in 7 passes
  71. Tue Jul 9 15:16:37 2024 max relations containing the same ideal: 109
  72. Tue Jul 9 15:16:49 2024 removing 5973589 relations and 3973589 ideals in 2000000 cliques
  73. Tue Jul 9 15:16:51 2024 commencing in-memory singleton removal
  74. Tue Jul 9 15:16:52 2024 begin with 30768471 relations and 30913273 unique ideals
  75. Tue Jul 9 15:16:53 2024 reduce to 30159514 relations and 26302383 ideals in 8 passes
  76. Tue Jul 9 15:16:53 2024 max relations containing the same ideal: 96
  77. Tue Jul 9 15:17:03 2024 removing 5876320 relations and 3876320 ideals in 2000000 cliques
  78. Tue Jul 9 15:17:05 2024 commencing in-memory singleton removal
  79. Tue Jul 9 15:17:06 2024 begin with 24283194 relations and 26302383 unique ideals
  80. Tue Jul 9 15:17:09 2024 reduce to 23585365 relations and 21688681 ideals in 9 passes
  81. Tue Jul 9 15:17:09 2024 max relations containing the same ideal: 80
  82. Tue Jul 9 15:17:19 2024 removing 4043363 relations and 2763946 ideals in 1279417 cliques
  83. Tue Jul 9 15:17:20 2024 commencing in-memory singleton removal
  84. Tue Jul 9 15:17:21 2024 begin with 19542002 relations and 21688681 unique ideals
  85. Tue Jul 9 15:17:21 2024 reduce to 19089713 relations and 18451072 ideals in 8 passes
  86. Tue Jul 9 15:17:21 2024 max relations containing the same ideal: 70
  87. Tue Jul 9 15:17:29 2024 removing 135021 relations and 113647 ideals in 21374 cliques
  88. Tue Jul 9 15:17:30 2024 commencing in-memory singleton removal
  89. Tue Jul 9 15:17:31 2024 begin with 18954692 relations and 18451072 unique ideals
  90. Tue Jul 9 15:17:31 2024 reduce to 18954122 relations and 18336855 ideals in 4 passes
  91. Tue Jul 9 15:17:31 2024 max relations containing the same ideal: 70
  92. Tue Jul 9 15:17:33 2024 relations with 0 large ideals: 1637
  93. Tue Jul 9 15:17:33 2024 relations with 1 large ideals: 10889
  94. Tue Jul 9 15:17:33 2024 relations with 2 large ideals: 143911
  95. Tue Jul 9 15:17:33 2024 relations with 3 large ideals: 837990
  96. Tue Jul 9 15:17:33 2024 relations with 4 large ideals: 2575613
  97. Tue Jul 9 15:17:33 2024 relations with 5 large ideals: 4636477
  98. Tue Jul 9 15:17:33 2024 relations with 6 large ideals: 5177458
  99. Tue Jul 9 15:17:33 2024 relations with 7+ large ideals: 5570147
  100. Tue Jul 9 15:17:33 2024 commencing 2-way merge
  101. Tue Jul 9 15:17:43 2024 reduce to 12669022 relation sets and 12051755 unique ideals
  102. Tue Jul 9 15:17:44 2024 commencing full merge
  103. Tue Jul 9 15:23:36 2024 memory use: 1521.4 MB
  104. Tue Jul 9 15:23:38 2024 found 5560123 cycles, need 5531955
  105. Tue Jul 9 15:23:41 2024 weight of 5531955 cycles is about 719203960 (130.01/cycle)
  106. Tue Jul 9 15:23:41 2024 distribution of cycle lengths:
  107. Tue Jul 9 15:23:41 2024 1 relations: 127187
  108. Tue Jul 9 15:23:41 2024 2 relations: 275222
  109. Tue Jul 9 15:23:41 2024 3 relations: 350010
  110. Tue Jul 9 15:23:41 2024 4 relations: 379898
  111. Tue Jul 9 15:23:41 2024 5 relations: 406025
  112. Tue Jul 9 15:23:41 2024 6 relations: 411291
  113. Tue Jul 9 15:23:41 2024 7 relations: 408699
  114. Tue Jul 9 15:23:41 2024 8 relations: 396823
  115. Tue Jul 9 15:23:41 2024 9 relations: 375441
  116. Tue Jul 9 15:23:41 2024 10+ relations: 2401359
  117. Tue Jul 9 15:23:41 2024 heaviest cycle: 28 relations
  118. Tue Jul 9 15:23:43 2024 commencing cycle optimization
  119. Tue Jul 9 15:23:52 2024 start with 52094912 relations
  120. Tue Jul 9 15:26:35 2024 pruned 2768577 relations
  121. Tue Jul 9 15:26:35 2024 memory use: 1321.4 MB
  122. Tue Jul 9 15:26:35 2024 distribution of cycle lengths:
  123. Tue Jul 9 15:26:35 2024 1 relations: 127187
  124. Tue Jul 9 15:26:35 2024 2 relations: 283768
  125. Tue Jul 9 15:26:35 2024 3 relations: 367704
  126. Tue Jul 9 15:26:35 2024 4 relations: 399488
  127. Tue Jul 9 15:26:35 2024 5 relations: 430936
  128. Tue Jul 9 15:26:35 2024 6 relations: 436258
  129. Tue Jul 9 15:26:35 2024 7 relations: 435296
  130. Tue Jul 9 15:26:35 2024 8 relations: 420319
  131. Tue Jul 9 15:26:35 2024 9 relations: 396505
  132. Tue Jul 9 15:26:35 2024 10+ relations: 2234494
  133. Tue Jul 9 15:26:35 2024 heaviest cycle: 28 relations
  134. Tue Jul 9 15:26:44 2024 RelProcTime: 1696
  135. Tue Jul 9 15:26:44 2024 elapsed time 00:28:17
  136. Tue Jul 9 15:50:03 2024
  137. Tue Jul 9 15:50:03 2024
  138. Tue Jul 9 15:50:03 2024 Msieve v. 1.54 (SVN Unversioned directory)
  139. Tue Jul 9 15:50:03 2024 random seeds: 4547b0d5 f41127f6
  140. Tue Jul 9 15:50:03 2024 MPI process 0 of 1
  141. Tue Jul 9 15:50:03 2024 Using 64 OpenMP threads
  142. Tue Jul 9 15:50:03 2024 factoring 2769605590703042966215441225993000200136536472751606196650643655211583088486972010637768285510328229322329123980312956818261710152824804325814940339890689009831073 (163 digits)
  143. Tue Jul 9 15:50:04 2024 searching for 15-digit factors
  144. Tue Jul 9 15:50:05 2024 commencing number field sieve (163-digit input)
  145. Tue Jul 9 15:50:05 2024 R0: -40103413171191652602176983615220
  146. Tue Jul 9 15:50:05 2024 R1: 79263349710946051
  147. Tue Jul 9 15:50:05 2024 A0: -119059469177775577895056937096607912702597
  148. Tue Jul 9 15:50:05 2024 A1: 28153880253018849250987869708289856
  149. Tue Jul 9 15:50:05 2024 A2: 14991739516975666143926314
  150. Tue Jul 9 15:50:05 2024 A3: -122335526641323970384
  151. Tue Jul 9 15:50:05 2024 A4: -544687394009
  152. Tue Jul 9 15:50:05 2024 A5: 26700
  153. Tue Jul 9 15:50:05 2024 skew 29574169.48, size 7.154e-16, alpha -7.508, combined = 9.230e-13 rroots = 5
  154. Tue Jul 9 15:50:05 2024
  155. Tue Jul 9 15:50:05 2024 commencing linear algebra
  156. Tue Jul 9 15:50:05 2024 using VBITS=256
  157. Tue Jul 9 15:50:05 2024 initialized process (0,0) of 1 x 1 grid
  158. Tue Jul 9 15:50:06 2024 read 5531955 cycles
  159. Tue Jul 9 15:50:26 2024 cycles contain 18643861 unique relations
  160. Tue Jul 9 15:52:58 2024 read 18643861 relations
  161. Tue Jul 9 15:52:59 2024 using 20 quadratic characters above 4294917295
  162. Tue Jul 9 15:53:01 2024 building initial matrix
  163. Tue Jul 9 15:57:13 2024 memory use: 2674.2 MB
  164. Tue Jul 9 15:57:17 2024 read 5531955 cycles
  165. Tue Jul 9 15:57:17 2024 matrix is 5531776 x 5531955 (2773.5 MB) with weight 862109660 (155.84/col)
  166. Tue Jul 9 15:57:17 2024 sparse part has weight 660673765 (119.43/col)
  167. Tue Jul 9 15:58:18 2024 filtering completed in 2 passes
  168. Tue Jul 9 15:58:19 2024 matrix is 5531688 x 5531867 (2773.5 MB) with weight 862104782 (155.84/col)
  169. Tue Jul 9 15:58:19 2024 sparse part has weight 660672245 (119.43/col)
  170. Tue Jul 9 15:58:51 2024 matrix starts at (0, 0)
  171. Tue Jul 9 15:58:52 2024 matrix is 5531688 x 5531867 (2773.5 MB) with weight 862104782 (155.84/col)
  172. Tue Jul 9 15:58:52 2024 sparse part has weight 660672245 (119.43/col)
  173. Tue Jul 9 15:58:52 2024 saving the first 240 matrix rows for later
  174. Tue Jul 9 15:58:53 2024 matrix includes 256 packed rows
  175. Tue Jul 9 15:58:55 2024 matrix is 5531448 x 5531867 (2493.4 MB) with weight 606678383 (109.67/col)
  176. Tue Jul 9 15:58:55 2024 sparse part has weight 565115135 (102.16/col)
  177. Tue Jul 9 15:58:55 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  178. Tue Jul 9 15:59:09 2024 commencing Lanczos iteration (64 threads)
  179. Tue Jul 9 15:59:09 2024 memory use: 3517.5 MB
  180. Tue Jul 9 15:59:59 2024 linear algebra at 0.6%, ETA 2h26m
  181. Tue Jul 9 16:01:17 2024 checking every 30000 dimensions, checkpointing every 2190000 dimensions
  182. Tue Jul 9 18:20:49 2024 lanczos halted after 21675 iterations (dim = 5531447)
  183. Tue Jul 9 18:21:13 2024 recovered 32 nontrivial dependencies
  184. Tue Jul 9 18:21:13 2024 BLanczosTime: 9068
  185. Tue Jul 9 18:21:13 2024
  186. Tue Jul 9 18:21:13 2024 commencing square root phase
  187. Tue Jul 9 18:21:13 2024 reading relations for dependency 1
  188. Tue Jul 9 18:21:13 2024 read 2766354 cycles
  189. Tue Jul 9 18:21:18 2024 cycles contain 9325358 unique relations
  190. Tue Jul 9 18:23:04 2024 read 9325358 relations
  191. Tue Jul 9 18:23:36 2024 multiplying 9325358 relations
  192. Tue Jul 9 18:24:23 2024 multiply complete, coefficients have about 486.17 million bits
  193. Tue Jul 9 18:24:24 2024 initial square root is modulo 528993389
  194. Tue Jul 9 18:26:46 2024 sqrtTime: 333
  195. Tue Jul 9 18:26:46 2024 p58 factor: 7536699945859272287645584205798399549024206603558905458413
  196. Tue Jul 9 18:26:46 2024 p105 factor: 367482533549008817405293328725184882051797817064140519281028394131864371837150735553864551731515808098821
  197. Tue Jul 9 18:26:46 2024 elapsed time 02:36:43
  198.  
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