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Jun 16th, 2024
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  1. Sun Jun 16 23:07:24 2024 Msieve v. 1.54 (SVN Unversioned directory)
  2. Sun Jun 16 23:07:24 2024 random seeds: 33cf88dc de152edc
  3. Sun Jun 16 23:07:24 2024 MPI process 0 of 1
  4. Sun Jun 16 23:07:24 2024 Using 16 OpenMP threads
  5. Sun Jun 16 23:07:24 2024 factoring 4851738912796121046315021600637144187400102119763356034078381223757493127086332652441734782527486994834515464887980395992899476395488234729024286874108450435677619 (163 digits)
  6. Sun Jun 16 23:07:25 2024 searching for 15-digit factors
  7. Sun Jun 16 23:07:26 2024 commencing number field sieve (163-digit input)
  8. Sun Jun 16 23:07:26 2024 R0: -48071431546346220180608683881419
  9. Sun Jun 16 23:07:26 2024 R1: 309179820591176293
  10. Sun Jun 16 23:07:26 2024 A0: 1328489501469860865733590990983999074448184
  11. Sun Jun 16 23:07:26 2024 A1: 91250871289055414223892959444235974
  12. Sun Jun 16 23:07:26 2024 A2: -3443163009539037872650618687
  13. Sun Jun 16 23:07:26 2024 A3: -130574688034855928674
  14. Sun Jun 16 23:07:26 2024 A4: 2305957292678
  15. Sun Jun 16 23:07:26 2024 A5: 18900
  16. Sun Jun 16 23:07:26 2024 skew 44661581.32, size 7.501e-16, alpha -8.277, combined = 9.485e-13 rroots = 5
  17. Sun Jun 16 23:07:26 2024
  18. Sun Jun 16 23:07:26 2024 commencing relation filtering
  19. Sun Jun 16 23:07:26 2024 setting target matrix density to 130.0
  20. Sun Jun 16 23:07:26 2024 estimated available RAM is 257736.5 MB
  21. Sun Jun 16 23:07:26 2024 commencing duplicate removal, pass 1
  22. Sun Jun 16 23:08:13 2024 error -1 reading relation 14062517
  23. Sun Jun 16 23:11:41 2024 error -1 reading relation 96899272
  24. Sun Jun 16 23:12:22 2024 error -11 reading relation 110585194
  25. Sun Jun 16 23:12:27 2024 error -1 reading relation 112416547
  26. Sun Jun 16 23:12:41 2024 error -1 reading relation 115651294
  27. Sun Jun 16 23:12:42 2024 error -1 reading relation 115656061
  28. Sun Jun 16 23:12:42 2024 error -11 reading relation 115734536
  29. Sun Jun 16 23:13:01 2024 error -1 reading relation 118937272
  30. Sun Jun 16 23:13:14 2024 error -15 reading relation 121324248
  31. Sun Jun 16 23:13:22 2024 error -1 reading relation 122651627
  32. Sun Jun 16 23:13:47 2024 error -1 reading relation 128472965
  33. Sun Jun 16 23:13:49 2024 error -1 reading relation 129022981
  34. Sun Jun 16 23:13:49 2024 skipped 69 malformed relations
  35. Sun Jun 16 23:13:49 2024 found 27428330 hash collisions in 129181602 relations
  36. Sun Jun 16 23:14:13 2024 added 122405 free relations
  37. Sun Jun 16 23:14:13 2024 commencing duplicate removal, pass 2
  38. Sun Jun 16 23:17:33 2024 found 27205830 duplicates and 102098177 unique relations
  39. Sun Jun 16 23:17:33 2024 memory use: 724.8 MB
  40. Sun Jun 16 23:17:33 2024 reading ideals above 720000
  41. Sun Jun 16 23:17:33 2024 commencing singleton removal, initial pass
  42. Sun Jun 16 23:27:11 2024 memory use: 2756.0 MB
  43. Sun Jun 16 23:27:11 2024 reading all ideals from disk
  44. Sun Jun 16 23:27:15 2024 memory use: 4609.4 MB
  45. Sun Jun 16 23:27:29 2024 keeping 90958288 ideals with weight <= 200, target excess is 534878
  46. Sun Jun 16 23:27:48 2024 commencing in-memory singleton removal
  47. Sun Jun 16 23:27:50 2024 begin with 102098177 relations and 90958288 unique ideals
  48. Sun Jun 16 23:27:57 2024 reduce to 68478728 relations and 54114767 ideals in 13 passes
  49. Sun Jun 16 23:27:57 2024 max relations containing the same ideal: 165
  50. Sun Jun 16 23:28:17 2024 removing 8608017 relations and 6608017 ideals in 2000000 cliques
  51. Sun Jun 16 23:28:20 2024 commencing in-memory singleton removal
  52. Sun Jun 16 23:28:21 2024 begin with 59870711 relations and 54114767 unique ideals
  53. Sun Jun 16 23:28:24 2024 reduce to 59046404 relations and 46653391 ideals in 8 passes
  54. Sun Jun 16 23:28:24 2024 max relations containing the same ideal: 146
  55. Sun Jun 16 23:28:43 2024 removing 6800090 relations and 4800090 ideals in 2000000 cliques
  56. Sun Jun 16 23:28:45 2024 commencing in-memory singleton removal
  57. Sun Jun 16 23:28:46 2024 begin with 52246314 relations and 46653391 unique ideals
  58. Sun Jun 16 23:28:49 2024 reduce to 51660575 relations and 41248112 ideals in 8 passes
  59. Sun Jun 16 23:28:49 2024 max relations containing the same ideal: 134
  60. Sun Jun 16 23:29:05 2024 removing 6312777 relations and 4312777 ideals in 2000000 cliques
  61. Sun Jun 16 23:29:07 2024 commencing in-memory singleton removal
  62. Sun Jun 16 23:29:08 2024 begin with 45347798 relations and 41248112 unique ideals
  63. Sun Jun 16 23:29:11 2024 reduce to 44808449 relations and 36377162 ideals in 7 passes
  64. Sun Jun 16 23:29:11 2024 max relations containing the same ideal: 124
  65. Sun Jun 16 23:29:27 2024 removing 6077433 relations and 4077433 ideals in 2000000 cliques
  66. Sun Jun 16 23:29:29 2024 commencing in-memory singleton removal
  67. Sun Jun 16 23:29:30 2024 begin with 38731016 relations and 36377162 unique ideals
  68. Sun Jun 16 23:29:32 2024 reduce to 38188634 relations and 31736140 ideals in 7 passes
  69. Sun Jun 16 23:29:32 2024 max relations containing the same ideal: 112
  70. Sun Jun 16 23:29:47 2024 removing 5929707 relations and 3929707 ideals in 2000000 cliques
  71. Sun Jun 16 23:29:49 2024 commencing in-memory singleton removal
  72. Sun Jun 16 23:29:50 2024 begin with 32258927 relations and 31736140 unique ideals
  73. Sun Jun 16 23:29:52 2024 reduce to 31681725 relations and 27203399 ideals in 8 passes
  74. Sun Jun 16 23:29:52 2024 max relations containing the same ideal: 98
  75. Sun Jun 16 23:30:03 2024 removing 5833763 relations and 3833763 ideals in 2000000 cliques
  76. Sun Jun 16 23:30:05 2024 commencing in-memory singleton removal
  77. Sun Jun 16 23:30:06 2024 begin with 25847962 relations and 27203399 unique ideals
  78. Sun Jun 16 23:30:08 2024 reduce to 25200457 relations and 22687481 ideals in 8 passes
  79. Sun Jun 16 23:30:08 2024 max relations containing the same ideal: 84
  80. Sun Jun 16 23:30:18 2024 removing 5507490 relations and 3614973 ideals in 1892517 cliques
  81. Sun Jun 16 23:30:20 2024 commencing in-memory singleton removal
  82. Sun Jun 16 23:30:20 2024 begin with 19692967 relations and 22687481 unique ideals
  83. Sun Jun 16 23:30:21 2024 reduce to 18957470 relations and 18289549 ideals in 8 passes
  84. Sun Jun 16 23:30:21 2024 max relations containing the same ideal: 69
  85. Sun Jun 16 23:30:28 2024 removing 277951 relations and 230489 ideals in 47462 cliques
  86. Sun Jun 16 23:30:29 2024 commencing in-memory singleton removal
  87. Sun Jun 16 23:30:29 2024 begin with 18679519 relations and 18289549 unique ideals
  88. Sun Jun 16 23:30:30 2024 reduce to 18676698 relations and 18056231 ideals in 5 passes
  89. Sun Jun 16 23:30:30 2024 max relations containing the same ideal: 68
  90. Sun Jun 16 23:30:32 2024 relations with 0 large ideals: 1777
  91. Sun Jun 16 23:30:32 2024 relations with 1 large ideals: 11170
  92. Sun Jun 16 23:30:32 2024 relations with 2 large ideals: 149514
  93. Sun Jun 16 23:30:32 2024 relations with 3 large ideals: 858142
  94. Sun Jun 16 23:30:32 2024 relations with 4 large ideals: 2602999
  95. Sun Jun 16 23:30:32 2024 relations with 5 large ideals: 4622761
  96. Sun Jun 16 23:30:32 2024 relations with 6 large ideals: 5078230
  97. Sun Jun 16 23:30:32 2024 relations with 7+ large ideals: 5352105
  98. Sun Jun 16 23:30:32 2024 commencing 2-way merge
  99. Sun Jun 16 23:30:42 2024 reduce to 12517178 relation sets and 11896711 unique ideals
  100. Sun Jun 16 23:30:42 2024 commencing full merge
  101. Sun Jun 16 23:36:01 2024 memory use: 1493.2 MB
  102. Sun Jun 16 23:36:02 2024 found 5520723 cycles, need 5488911
  103. Sun Jun 16 23:36:03 2024 weight of 5488911 cycles is about 714172868 (130.11/cycle)
  104. Sun Jun 16 23:36:03 2024 distribution of cycle lengths:
  105. Sun Jun 16 23:36:03 2024 1 relations: 128208
  106. Sun Jun 16 23:36:03 2024 2 relations: 281485
  107. Sun Jun 16 23:36:03 2024 3 relations: 359079
  108. Sun Jun 16 23:36:03 2024 4 relations: 388610
  109. Sun Jun 16 23:36:03 2024 5 relations: 416841
  110. Sun Jun 16 23:36:03 2024 6 relations: 419591
  111. Sun Jun 16 23:36:03 2024 7 relations: 414046
  112. Sun Jun 16 23:36:03 2024 8 relations: 399647
  113. Sun Jun 16 23:36:03 2024 9 relations: 373528
  114. Sun Jun 16 23:36:03 2024 10+ relations: 2307876
  115. Sun Jun 16 23:36:03 2024 heaviest cycle: 28 relations
  116. Sun Jun 16 23:36:04 2024 commencing cycle optimization
  117. Sun Jun 16 23:36:13 2024 start with 50763542 relations
  118. Sun Jun 16 23:38:10 2024 pruned 2672666 relations
  119. Sun Jun 16 23:38:10 2024 memory use: 1296.5 MB
  120. Sun Jun 16 23:38:10 2024 distribution of cycle lengths:
  121. Sun Jun 16 23:38:10 2024 1 relations: 128208
  122. Sun Jun 16 23:38:10 2024 2 relations: 290489
  123. Sun Jun 16 23:38:10 2024 3 relations: 377209
  124. Sun Jun 16 23:38:10 2024 4 relations: 408994
  125. Sun Jun 16 23:38:10 2024 5 relations: 442810
  126. Sun Jun 16 23:38:10 2024 6 relations: 444771
  127. Sun Jun 16 23:38:10 2024 7 relations: 441252
  128. Sun Jun 16 23:38:10 2024 8 relations: 422656
  129. Sun Jun 16 23:38:10 2024 9 relations: 392856
  130. Sun Jun 16 23:38:10 2024 10+ relations: 2139666
  131. Sun Jun 16 23:38:10 2024 heaviest cycle: 28 relations
  132. Sun Jun 16 23:38:16 2024 RelProcTime: 1850
  133. Sun Jun 16 23:38:16 2024 elapsed time 00:30:52
  134. Sun Jun 16 23:46:01 2024
  135. Sun Jun 16 23:46:01 2024
  136. Sun Jun 16 23:46:01 2024 Msieve v. 1.54 (SVN Unversioned directory)
  137. Sun Jun 16 23:46:01 2024 random seeds: c57a0afb b2161127
  138. Sun Jun 16 23:46:01 2024 MPI process 0 of 1
  139. Sun Jun 16 23:46:01 2024 Using 64 OpenMP threads
  140. Sun Jun 16 23:46:01 2024 factoring 4851738912796121046315021600637144187400102119763356034078381223757493127086332652441734782527486994834515464887980395992899476395488234729024286874108450435677619 (163 digits)
  141. Sun Jun 16 23:46:01 2024 searching for 15-digit factors
  142. Sun Jun 16 23:46:01 2024 commencing number field sieve (163-digit input)
  143. Sun Jun 16 23:46:01 2024 R0: -48071431546346220180608683881419
  144. Sun Jun 16 23:46:01 2024 R1: 309179820591176293
  145. Sun Jun 16 23:46:01 2024 A0: 1328489501469860865733590990983999074448184
  146. Sun Jun 16 23:46:01 2024 A1: 91250871289055414223892959444235974
  147. Sun Jun 16 23:46:01 2024 A2: -3443163009539037872650618687
  148. Sun Jun 16 23:46:01 2024 A3: -130574688034855928674
  149. Sun Jun 16 23:46:01 2024 A4: 2305957292678
  150. Sun Jun 16 23:46:01 2024 A5: 18900
  151. Sun Jun 16 23:46:01 2024 skew 44661581.32, size 7.501e-16, alpha -8.277, combined = 9.485e-13 rroots = 5
  152. Sun Jun 16 23:46:01 2024
  153. Sun Jun 16 23:46:01 2024 commencing linear algebra
  154. Sun Jun 16 23:46:01 2024 using VBITS=256
  155. Sun Jun 16 23:46:01 2024 initialized process (0,0) of 1 x 1 grid
  156. Sun Jun 16 23:46:02 2024 read 5488911 cycles
  157. Sun Jun 16 23:46:10 2024 cycles contain 18363930 unique relations
  158. Sun Jun 16 23:48:05 2024 read 18363930 relations
  159. Sun Jun 16 23:48:06 2024 using 20 quadratic characters above 4294917295
  160. Sun Jun 16 23:48:07 2024 building initial matrix
  161. Sun Jun 16 23:51:37 2024 memory use: 2601.5 MB
  162. Sun Jun 16 23:51:41 2024 read 5488911 cycles
  163. Sun Jun 16 23:51:42 2024 matrix is 5488733 x 5488911 (2747.4 MB) with weight 835929416 (152.29/col)
  164. Sun Jun 16 23:51:42 2024 sparse part has weight 654354452 (119.21/col)
  165. Sun Jun 16 23:52:36 2024 filtering completed in 2 passes
  166. Sun Jun 16 23:52:37 2024 matrix is 5488617 x 5488793 (2747.4 MB) with weight 835923853 (152.30/col)
  167. Sun Jun 16 23:52:37 2024 sparse part has weight 654352960 (119.22/col)
  168. Sun Jun 16 23:53:08 2024 matrix starts at (0, 0)
  169. Sun Jun 16 23:53:09 2024 matrix is 5488617 x 5488793 (2747.4 MB) with weight 835923853 (152.30/col)
  170. Sun Jun 16 23:53:09 2024 sparse part has weight 654352960 (119.22/col)
  171. Sun Jun 16 23:53:09 2024 saving the first 240 matrix rows for later
  172. Sun Jun 16 23:53:10 2024 matrix includes 256 packed rows
  173. Sun Jun 16 23:53:11 2024 matrix is 5488377 x 5488793 (2430.0 MB) with weight 592729557 (107.99/col)
  174. Sun Jun 16 23:53:11 2024 sparse part has weight 549193037 (100.06/col)
  175. Sun Jun 16 23:53:11 2024 using block size 8192 and superblock size 1032192 for processor cache size 43008 kB
  176. Sun Jun 16 23:53:23 2024 commencing Lanczos iteration (64 threads)
  177. Sun Jun 16 23:53:23 2024 memory use: 3449.6 MB
  178. Sun Jun 16 23:54:12 2024 linear algebra at 0.6%, ETA 2h22m
  179. Sun Jun 16 23:55:26 2024 checking every 30000 dimensions, checkpointing every 2280000 dimensions
  180. Mon Jun 17 02:10:28 2024 lanczos halted after 21504 iterations (dim = 5488377)
  181. Mon Jun 17 02:10:47 2024 recovered 29 nontrivial dependencies
  182. Mon Jun 17 02:10:48 2024 BLanczosTime: 8687
  183. Mon Jun 17 02:10:48 2024
  184. Mon Jun 17 02:10:48 2024 commencing square root phase
  185. Mon Jun 17 02:10:48 2024 reading relations for dependency 1
  186. Mon Jun 17 02:10:48 2024 read 2745195 cycles
  187. Mon Jun 17 02:11:36 2024 cycles contain 9184372 unique relations
  188. Mon Jun 17 02:14:05 2024 read 9184372 relations
  189. Mon Jun 17 02:15:05 2024 multiplying 9184372 relations
  190. Mon Jun 17 02:16:49 2024 multiply complete, coefficients have about 481.79 million bits
  191. Mon Jun 17 02:16:51 2024 initial square root is modulo 441324901
  192. Mon Jun 17 02:20:08 2024 sqrtTime: 560
  193. Mon Jun 17 02:20:08 2024 p74 factor: 13377766727847316573414382230098901113500651233186856405425907200437683111
  194. Mon Jun 17 02:20:08 2024 p90 factor: 362671812978819869690184520169259152721896821500922848008627586826042024296492197137393429
  195. Mon Jun 17 02:20:08 2024 elapsed time 02:34:07
  196.  
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