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May 22nd, 2024
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  1. Tue May 21 05:17:27 2024
  2. Tue May 21 05:17:27 2024
  3. Tue May 21 05:17:27 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Tue May 21 05:17:27 2024 random seeds: 15dcf897 ef4bcccd
  5. Tue May 21 05:17:27 2024 MPI process 0 of 1
  6. Tue May 21 05:17:27 2024 Using 64 OpenMP threads
  7. Tue May 21 05:17:27 2024 factoring 1576473327391136550612752254968060921134761220583453119268504268234880834391009399135029813668523985914505711310678287430325683877593725901133261383982479647817 (160 digits)
  8. Tue May 21 05:17:27 2024 searching for 15-digit factors
  9. Tue May 21 05:17:28 2024 commencing number field sieve (160-digit input)
  10. Tue May 21 05:17:28 2024 R0: -9012029639279622408917963691753
  11. Tue May 21 05:17:28 2024 R1: 110683838394424499
  12. Tue May 21 05:17:28 2024 A0: 63969390197697972911106553211951010678104
  13. Tue May 21 05:17:28 2024 A1: 18699477454250143232983378086454146
  14. Tue May 21 05:17:28 2024 A2: -164681884046144934749911597
  15. Tue May 21 05:17:28 2024 A3: -49232663089995295626
  16. Tue May 21 05:17:28 2024 A4: 251485702208
  17. Tue May 21 05:17:28 2024 A5: 26520
  18. Tue May 21 05:17:28 2024 skew 27886756.95, size 1.593e-15, alpha -7.681, combined = 1.465e-12 rroots = 5
  19. Tue May 21 05:17:28 2024
  20. Tue May 21 05:17:28 2024 commencing relation filtering
  21. Tue May 21 05:17:28 2024 setting target matrix density to 130.0
  22. Tue May 21 05:17:28 2024 estimated available RAM is 257736.5 MB
  23. Tue May 21 05:17:28 2024 commencing duplicate removal, pass 1
  24. Tue May 21 05:18:03 2024 error -1 reading relation 27064019
  25. Tue May 21 05:18:41 2024 error -1 reading relation 55145003
  26. Tue May 21 05:19:04 2024 error -1 reading relation 72132969
  27. Tue May 21 05:19:05 2024 error -1 reading relation 73192482
  28. Tue May 21 05:19:11 2024 error -1 reading relation 77093436
  29. Tue May 21 05:19:27 2024 error -1 reading relation 89004730
  30. Tue May 21 05:19:36 2024 error -1 reading relation 96334500
  31. Tue May 21 05:19:37 2024 error -1 reading relation 97120494
  32. Tue May 21 05:20:01 2024 error -15 reading relation 115040497
  33. Tue May 21 05:20:01 2024 error -1 reading relation 115040498
  34. Tue May 21 05:20:01 2024 error -1 reading relation 115059784
  35. Tue May 21 05:20:01 2024 error -15 reading relation 115091273
  36. Tue May 21 05:20:17 2024 error -1 reading relation 127362635
  37. Tue May 21 05:20:22 2024 skipped 2 relations with composite factors
  38. Tue May 21 05:20:22 2024 skipped 75 malformed relations
  39. Tue May 21 05:20:22 2024 found 26282078 hash collisions in 131266119 relations
  40. Tue May 21 05:20:44 2024 added 122224 free relations
  41. Tue May 21 05:20:44 2024 commencing duplicate removal, pass 2
  42. Tue May 21 05:23:06 2024 found 25294961 duplicates and 106093382 unique relations
  43. Tue May 21 05:23:06 2024 memory use: 724.8 MB
  44. Tue May 21 05:23:06 2024 reading ideals above 720000
  45. Tue May 21 05:23:06 2024 commencing singleton removal, initial pass
  46. Tue May 21 05:27:42 2024 memory use: 2756.0 MB
  47. Tue May 21 05:27:42 2024 reading all ideals from disk
  48. Tue May 21 05:27:44 2024 memory use: 4762.4 MB
  49. Tue May 21 05:27:52 2024 keeping 91419356 ideals with weight <= 200, target excess is 556370
  50. Tue May 21 05:28:02 2024 commencing in-memory singleton removal
  51. Tue May 21 05:28:03 2024 begin with 106093382 relations and 91419356 unique ideals
  52. Tue May 21 05:28:07 2024 reduce to 73462028 relations and 55824014 ideals in 13 passes
  53. Tue May 21 05:28:07 2024 max relations containing the same ideal: 164
  54. Tue May 21 05:28:29 2024 removing 8260188 relations and 6260188 ideals in 2000000 cliques
  55. Tue May 21 05:28:32 2024 commencing in-memory singleton removal
  56. Tue May 21 05:28:33 2024 begin with 65201840 relations and 55824014 unique ideals
  57. Tue May 21 05:28:34 2024 reduce to 64481395 relations and 48819503 ideals in 7 passes
  58. Tue May 21 05:28:34 2024 max relations containing the same ideal: 155
  59. Tue May 21 05:28:53 2024 removing 6539209 relations and 4539209 ideals in 2000000 cliques
  60. Tue May 21 05:28:55 2024 commencing in-memory singleton removal
  61. Tue May 21 05:28:56 2024 begin with 57942186 relations and 48819503 unique ideals
  62. Tue May 21 05:28:57 2024 reduce to 57441881 relations and 43764853 ideals in 7 passes
  63. Tue May 21 05:28:57 2024 max relations containing the same ideal: 145
  64. Tue May 21 05:29:15 2024 removing 6083677 relations and 4083677 ideals in 2000000 cliques
  65. Tue May 21 05:29:18 2024 commencing in-memory singleton removal
  66. Tue May 21 05:29:18 2024 begin with 51358204 relations and 43764853 unique ideals
  67. Tue May 21 05:29:19 2024 reduce to 50906963 relations and 39215698 ideals in 7 passes
  68. Tue May 21 05:29:19 2024 max relations containing the same ideal: 133
  69. Tue May 21 05:29:35 2024 removing 5854414 relations and 3854414 ideals in 2000000 cliques
  70. Tue May 21 05:29:37 2024 commencing in-memory singleton removal
  71. Tue May 21 05:29:37 2024 begin with 45052549 relations and 39215698 unique ideals
  72. Tue May 21 05:29:38 2024 reduce to 44609714 relations and 34903056 ideals in 6 passes
  73. Tue May 21 05:29:38 2024 max relations containing the same ideal: 124
  74. Tue May 21 05:29:51 2024 removing 5717004 relations and 3717004 ideals in 2000000 cliques
  75. Tue May 21 05:29:53 2024 commencing in-memory singleton removal
  76. Tue May 21 05:29:53 2024 begin with 38892710 relations and 34903056 unique ideals
  77. Tue May 21 05:29:54 2024 reduce to 38434460 relations and 30710373 ideals in 7 passes
  78. Tue May 21 05:29:54 2024 max relations containing the same ideal: 108
  79. Tue May 21 05:30:06 2024 removing 5634678 relations and 3634678 ideals in 2000000 cliques
  80. Tue May 21 05:30:07 2024 commencing in-memory singleton removal
  81. Tue May 21 05:30:08 2024 begin with 32799782 relations and 30710373 unique ideals
  82. Tue May 21 05:30:08 2024 reduce to 32305190 relations and 26559524 ideals in 7 passes
  83. Tue May 21 05:30:08 2024 max relations containing the same ideal: 101
  84. Tue May 21 05:30:18 2024 removing 5585875 relations and 3585875 ideals in 2000000 cliques
  85. Tue May 21 05:30:20 2024 commencing in-memory singleton removal
  86. Tue May 21 05:30:20 2024 begin with 26719315 relations and 26559524 unique ideals
  87. Tue May 21 05:30:21 2024 reduce to 26160830 relations and 22386453 ideals in 7 passes
  88. Tue May 21 05:30:21 2024 max relations containing the same ideal: 85
  89. Tue May 21 05:30:29 2024 removing 5550093 relations and 3550093 ideals in 2000000 cliques
  90. Tue May 21 05:30:30 2024 commencing in-memory singleton removal
  91. Tue May 21 05:30:31 2024 begin with 20610737 relations and 22386453 unique ideals
  92. Tue May 21 05:30:31 2024 reduce to 19940305 relations and 18123312 ideals in 8 passes
  93. Tue May 21 05:30:31 2024 max relations containing the same ideal: 69
  94. Tue May 21 05:30:38 2024 removing 3549300 relations and 2377697 ideals in 1171603 cliques
  95. Tue May 21 05:30:39 2024 commencing in-memory singleton removal
  96. Tue May 21 05:30:39 2024 begin with 16391005 relations and 18123312 unique ideals
  97. Tue May 21 05:30:39 2024 reduce to 15974954 relations and 15307907 ideals in 7 passes
  98. Tue May 21 05:30:39 2024 max relations containing the same ideal: 64
  99. Tue May 21 05:30:45 2024 removing 128519 relations and 106862 ideals in 21657 cliques
  100. Tue May 21 05:30:45 2024 commencing in-memory singleton removal
  101. Tue May 21 05:30:45 2024 begin with 15846435 relations and 15307907 unique ideals
  102. Tue May 21 05:30:46 2024 reduce to 15845671 relations and 15200278 ideals in 5 passes
  103. Tue May 21 05:30:46 2024 max relations containing the same ideal: 64
  104. Tue May 21 05:30:47 2024 relations with 0 large ideals: 1692
  105. Tue May 21 05:30:47 2024 relations with 1 large ideals: 13938
  106. Tue May 21 05:30:47 2024 relations with 2 large ideals: 175836
  107. Tue May 21 05:30:47 2024 relations with 3 large ideals: 939719
  108. Tue May 21 05:30:47 2024 relations with 4 large ideals: 2607245
  109. Tue May 21 05:30:47 2024 relations with 5 large ideals: 4194132
  110. Tue May 21 05:30:47 2024 relations with 6 large ideals: 4159604
  111. Tue May 21 05:30:47 2024 relations with 7+ large ideals: 3753505
  112. Tue May 21 05:30:47 2024 commencing 2-way merge
  113. Tue May 21 05:30:54 2024 reduce to 10609391 relation sets and 9963998 unique ideals
  114. Tue May 21 05:30:54 2024 commencing full merge
  115. Tue May 21 05:33:39 2024 memory use: 1268.3 MB
  116. Tue May 21 05:33:39 2024 found 4654388 cycles, need 4620198
  117. Tue May 21 05:33:40 2024 weight of 4620198 cycles is about 600715083 (130.02/cycle)
  118. Tue May 21 05:33:40 2024 distribution of cycle lengths:
  119. Tue May 21 05:33:40 2024 1 relations: 88944
  120. Tue May 21 05:33:40 2024 2 relations: 213599
  121. Tue May 21 05:33:40 2024 3 relations: 280173
  122. Tue May 21 05:33:40 2024 4 relations: 307672
  123. Tue May 21 05:33:40 2024 5 relations: 332318
  124. Tue May 21 05:33:40 2024 6 relations: 341246
  125. Tue May 21 05:33:40 2024 7 relations: 343361
  126. Tue May 21 05:33:40 2024 8 relations: 333563
  127. Tue May 21 05:33:40 2024 9 relations: 317434
  128. Tue May 21 05:33:40 2024 10+ relations: 2061888
  129. Tue May 21 05:33:40 2024 heaviest cycle: 28 relations
  130. Tue May 21 05:33:41 2024 commencing cycle optimization
  131. Tue May 21 05:33:49 2024 start with 44249385 relations
  132. Tue May 21 05:35:08 2024 pruned 2438823 relations
  133. Tue May 21 05:35:08 2024 memory use: 1110.2 MB
  134. Tue May 21 05:35:08 2024 distribution of cycle lengths:
  135. Tue May 21 05:35:08 2024 1 relations: 88944
  136. Tue May 21 05:35:08 2024 2 relations: 220284
  137. Tue May 21 05:35:08 2024 3 relations: 294195
  138. Tue May 21 05:35:08 2024 4 relations: 323745
  139. Tue May 21 05:35:08 2024 5 relations: 353644
  140. Tue May 21 05:35:08 2024 6 relations: 363142
  141. Tue May 21 05:35:08 2024 7 relations: 367056
  142. Tue May 21 05:35:08 2024 8 relations: 355529
  143. Tue May 21 05:35:08 2024 9 relations: 337454
  144. Tue May 21 05:35:08 2024 10+ relations: 1916205
  145. Tue May 21 05:35:08 2024 heaviest cycle: 28 relations
  146. Tue May 21 05:35:13 2024 RelProcTime: 1065
  147. Tue May 21 05:35:13 2024
  148. Tue May 21 05:35:13 2024 commencing linear algebra
  149. Tue May 21 05:35:13 2024 using VBITS=256
  150. Tue May 21 05:35:13 2024 initialized process (0,0) of 1 x 1 grid
  151. Tue May 21 05:35:14 2024 read 4620198 cycles
  152. Tue May 21 05:35:20 2024 cycles contain 15536191 unique relations
  153. Tue May 21 05:37:06 2024 read 15536191 relations
  154. Tue May 21 05:37:07 2024 using 20 quadratic characters above 4294917295
  155. Tue May 21 05:37:09 2024 building initial matrix
  156. Tue May 21 05:39:57 2024 memory use: 2157.8 MB
  157. Tue May 21 05:40:00 2024 read 4620198 cycles
  158. Tue May 21 05:40:01 2024 matrix is 4620020 x 4620198 (2314.0 MB) with weight 715252447 (154.81/col)
  159. Tue May 21 05:40:01 2024 sparse part has weight 551169609 (119.30/col)
  160. Tue May 21 05:40:47 2024 filtering completed in 2 passes
  161. Tue May 21 05:40:48 2024 matrix is 4619931 x 4620109 (2314.0 MB) with weight 715247070 (154.81/col)
  162. Tue May 21 05:40:48 2024 sparse part has weight 551167737 (119.30/col)
  163. Tue May 21 05:41:13 2024 matrix starts at (0, 0)
  164. Tue May 21 05:41:14 2024 matrix is 4619931 x 4620109 (2314.0 MB) with weight 715247070 (154.81/col)
  165. Tue May 21 05:41:14 2024 sparse part has weight 551167737 (119.30/col)
  166. Tue May 21 05:41:14 2024 saving the first 240 matrix rows for later
  167. Tue May 21 05:41:14 2024 matrix includes 256 packed rows
  168. Tue May 21 05:41:16 2024 matrix is 4619691 x 4620109 (2084.4 MB) with weight 505117911 (109.33/col)
  169. Tue May 21 05:41:16 2024 sparse part has weight 472489124 (102.27/col)
  170. Tue May 21 05:41:16 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  171. Tue May 21 05:41:26 2024 commencing Lanczos iteration (64 threads)
  172. Tue May 21 05:41:26 2024 memory use: 2941.7 MB
  173. Tue May 21 05:42:07 2024 linear algebra at 0.7%, ETA 1h39m
  174. Tue May 21 05:43:06 2024 checking every 40000 dimensions, checkpointing every 2800000 dimensions
  175. Tue May 21 07:19:30 2024 lanczos halted after 18101 iterations (dim = 4619689)
  176. Tue May 21 07:19:52 2024 recovered 28 nontrivial dependencies
  177. Tue May 21 07:19:52 2024 BLanczosTime: 6279
  178. Tue May 21 07:19:52 2024
  179. Tue May 21 07:19:52 2024 commencing square root phase
  180. Tue May 21 07:19:52 2024 handling dependencies 1 to 64
  181. Tue May 21 07:19:52 2024 reading relations for dependency 1
  182. Tue May 21 07:19:53 2024 read 2310363 cycles
  183. Tue May 21 07:19:56 2024 cycles contain 7769420 unique relations
  184. Tue May 21 07:21:40 2024 read 7769420 relations
  185. Tue May 21 07:22:05 2024 multiplying 7769420 relations
  186. Tue May 21 07:22:44 2024 multiply complete, coefficients have about 399.76 million bits
  187. Tue May 21 07:22:45 2024 initial square root is modulo 14894819
  188. Tue May 21 07:24:46 2024 GCD is N, no factor found
  189. Tue May 21 07:24:46 2024 reading relations for dependency 2
  190. Tue May 21 07:24:47 2024 read 2309964 cycles
  191. Tue May 21 07:24:50 2024 cycles contain 7766358 unique relations
  192. Tue May 21 07:26:34 2024 read 7766358 relations
  193. Tue May 21 07:26:58 2024 multiplying 7766358 relations
  194. Tue May 21 07:27:37 2024 multiply complete, coefficients have about 399.61 million bits
  195. Tue May 21 07:27:38 2024 initial square root is modulo 14798431
  196. Tue May 21 07:29:39 2024 GCD is 1, no factor found
  197. Tue May 21 07:29:39 2024 reading relations for dependency 3
  198. Tue May 21 07:29:40 2024 read 2309107 cycles
  199. Tue May 21 07:29:43 2024 cycles contain 7762308 unique relations
  200. Tue May 21 07:31:27 2024 read 7762308 relations
  201. Tue May 21 07:31:51 2024 multiplying 7762308 relations
  202. Tue May 21 07:32:30 2024 multiply complete, coefficients have about 399.39 million bits
  203. Tue May 21 07:32:31 2024 initial square root is modulo 14669467
  204. Tue May 21 07:34:31 2024 sqrtTime: 879
  205. Tue May 21 07:34:31 2024 p48 factor: 874906628632520927972876401269921709448772562661
  206. Tue May 21 07:34:31 2024 p112 factor: 1801876081171272392804605748074783977229124551855265408901259445058335434941780315958749055230097667808953787797
  207. Tue May 21 07:34:31 2024 elapsed time 02:17:04
  208.  
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