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May 8th, 2023
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  1. Mon May 8 07:41:13 2023
  2. Mon May 8 07:41:13 2023
  3. Mon May 8 07:41:13 2023 Msieve v. 1.54 (SVN Unversioned directory)
  4. Mon May 8 07:41:13 2023 random seeds: 7cfd6633 3c99389f
  5. Mon May 8 07:41:13 2023 factoring 7135738443176965793866587763013487969593797790915049433625961303653902772994912227400583547229936756244579996068522609150697721568680455902510898983273078478094297763357336838154185696182476006500083197636537495311 (214 digits)
  6. Mon May 8 07:41:15 2023 no P-1/P+1/ECM available, skipping
  7. Mon May 8 07:41:15 2023 commencing number field sieve (214-digit input)
  8. Mon May 8 07:41:15 2023 R0: 1057925995166102605221918896097320573504552119250
  9. Mon May 8 07:41:15 2023 R1: -1028555295142707728805943
  10. Mon May 8 07:41:15 2023 A0: 1
  11. Mon May 8 07:41:15 2023 A1: 3
  12. Mon May 8 07:41:15 2023 A2: -3
  13. Mon May 8 07:41:15 2023 A3: -4
  14. Mon May 8 07:41:15 2023 A4: 1
  15. Mon May 8 07:41:15 2023 A5: 1
  16. Mon May 8 07:41:15 2023 skew 1.00, size 2.497e-16, alpha 2.379, combined = 3.734e-13 rroots = 5
  17. Mon May 8 07:41:15 2023
  18. Mon May 8 07:41:15 2023 commencing relation filtering
  19. Mon May 8 07:41:15 2023 setting target matrix density to 100.0
  20. Mon May 8 07:41:15 2023 estimated available RAM is 15960.0 MB
  21. Mon May 8 07:41:15 2023 commencing duplicate removal, pass 1
  22. Mon May 8 08:07:08 2023 skipped 133 relations with b > 2^32
  23. Mon May 8 08:07:08 2023 found 8757318 hash collisions in 143242774 relations
  24. Mon May 8 08:07:18 2023 added 2926300 free relations
  25. Mon May 8 08:07:18 2023 commencing duplicate removal, pass 2
  26. Mon May 8 08:08:18 2023 found 0 duplicates and 146169074 unique relations
  27. Mon May 8 08:08:18 2023 memory use: 394.4 MB
  28. Mon May 8 08:08:18 2023 reading ideals above 133365760
  29. Mon May 8 08:08:18 2023 commencing singleton removal, initial pass
  30. Mon May 8 08:27:11 2023 memory use: 3012.0 MB
  31. Mon May 8 08:27:11 2023 reading all ideals from disk
  32. Mon May 8 08:27:15 2023 memory use: 2534.2 MB
  33. Mon May 8 08:27:24 2023 commencing in-memory singleton removal
  34. Mon May 8 08:27:33 2023 begin with 146169074 relations and 112975641 unique ideals
  35. Mon May 8 08:28:55 2023 reduce to 101281835 relations and 64179987 ideals in 12 passes
  36. Mon May 8 08:28:55 2023 max relations containing the same ideal: 43
  37. Mon May 8 08:29:04 2023 reading ideals above 720000
  38. Mon May 8 08:29:04 2023 commencing singleton removal, initial pass
  39. Mon May 8 08:46:18 2023 memory use: 1506.0 MB
  40. Mon May 8 08:46:18 2023 reading all ideals from disk
  41. Mon May 8 08:46:26 2023 memory use: 3935.8 MB
  42. Mon May 8 08:46:43 2023 keeping 78791228 ideals with weight <= 200, target excess is 506172
  43. Mon May 8 08:47:02 2023 commencing in-memory singleton removal
  44. Mon May 8 08:47:17 2023 begin with 101281835 relations and 78791228 unique ideals
  45. Mon May 8 08:48:17 2023 reduce to 101280692 relations and 78790085 ideals in 5 passes
  46. Mon May 8 08:48:17 2023 max relations containing the same ideal: 200
  47. Mon May 8 08:49:37 2023 removing 8537978 relations and 6537978 ideals in 2000000 cliques
  48. Mon May 8 08:49:42 2023 commencing in-memory singleton removal
  49. Mon May 8 08:49:55 2023 begin with 92742714 relations and 78790085 unique ideals
  50. Mon May 8 08:51:28 2023 reduce to 92174838 relations and 71670082 ideals in 8 passes
  51. Mon May 8 08:51:28 2023 max relations containing the same ideal: 196
  52. Mon May 8 08:52:39 2023 removing 6749123 relations and 4749123 ideals in 2000000 cliques
  53. Mon May 8 08:52:43 2023 commencing in-memory singleton removal
  54. Mon May 8 08:52:56 2023 begin with 85425715 relations and 71670082 unique ideals
  55. Mon May 8 08:54:14 2023 reduce to 85028156 relations and 66514481 ideals in 7 passes
  56. Mon May 8 08:54:14 2023 max relations containing the same ideal: 188
  57. Mon May 8 08:55:12 2023 removing 6265670 relations and 4265670 ideals in 2000000 cliques
  58. Mon May 8 08:55:18 2023 commencing in-memory singleton removal
  59. Mon May 8 08:55:31 2023 begin with 78762486 relations and 66514481 unique ideals
  60. Mon May 8 08:56:39 2023 reduce to 78403586 relations and 61881825 ideals in 7 passes
  61. Mon May 8 08:56:39 2023 max relations containing the same ideal: 181
  62. Mon May 8 08:57:36 2023 removing 6031818 relations and 4031818 ideals in 2000000 cliques
  63. Mon May 8 08:57:41 2023 commencing in-memory singleton removal
  64. Mon May 8 08:57:50 2023 begin with 72371768 relations and 61881825 unique ideals
  65. Mon May 8 08:58:47 2023 reduce to 72024130 relations and 57494244 ideals in 7 passes
  66. Mon May 8 08:58:47 2023 max relations containing the same ideal: 170
  67. Mon May 8 08:59:37 2023 removing 5898301 relations and 3898301 ideals in 2000000 cliques
  68. Mon May 8 08:59:42 2023 commencing in-memory singleton removal
  69. Mon May 8 08:59:49 2023 begin with 66125829 relations and 57494244 unique ideals
  70. Mon May 8 09:00:28 2023 reduce to 65773442 relations and 53234794 ideals in 6 passes
  71. Mon May 8 09:00:28 2023 max relations containing the same ideal: 163
  72. Mon May 8 09:01:11 2023 removing 5815368 relations and 3815368 ideals in 2000000 cliques
  73. Mon May 8 09:01:15 2023 commencing in-memory singleton removal
  74. Mon May 8 09:01:21 2023 begin with 59958074 relations and 53234794 unique ideals
  75. Mon May 8 09:01:56 2023 reduce to 59588713 relations and 49040133 ideals in 7 passes
  76. Mon May 8 09:01:56 2023 max relations containing the same ideal: 152
  77. Mon May 8 09:02:30 2023 removing 5775206 relations and 3775206 ideals in 2000000 cliques
  78. Mon May 8 09:02:33 2023 commencing in-memory singleton removal
  79. Mon May 8 09:02:39 2023 begin with 53813507 relations and 49040133 unique ideals
  80. Mon May 8 09:03:10 2023 reduce to 53415675 relations and 44855321 ideals in 7 passes
  81. Mon May 8 09:03:10 2023 max relations containing the same ideal: 140
  82. Mon May 8 09:03:38 2023 removing 5766151 relations and 3766151 ideals in 2000000 cliques
  83. Mon May 8 09:03:41 2023 commencing in-memory singleton removal
  84. Mon May 8 09:03:46 2023 begin with 47649524 relations and 44855321 unique ideals
  85. Mon May 8 09:04:16 2023 reduce to 47210375 relations and 40635802 ideals in 7 passes
  86. Mon May 8 09:04:16 2023 max relations containing the same ideal: 128
  87. Mon May 8 09:04:45 2023 removing 5781899 relations and 3781899 ideals in 2000000 cliques
  88. Mon May 8 09:04:49 2023 commencing in-memory singleton removal
  89. Mon May 8 09:04:53 2023 begin with 41428476 relations and 40635802 unique ideals
  90. Mon May 8 09:05:21 2023 reduce to 40930939 relations and 36337948 ideals in 8 passes
  91. Mon May 8 09:05:21 2023 max relations containing the same ideal: 115
  92. Mon May 8 09:05:46 2023 removing 5830510 relations and 3830510 ideals in 2000000 cliques
  93. Mon May 8 09:05:49 2023 commencing in-memory singleton removal
  94. Mon May 8 09:05:52 2023 begin with 35100429 relations and 36337948 unique ideals
  95. Mon May 8 09:06:17 2023 reduce to 34508950 relations and 31891055 ideals in 9 passes
  96. Mon May 8 09:06:17 2023 max relations containing the same ideal: 104
  97. Mon May 8 09:06:39 2023 removing 5910305 relations and 3910305 ideals in 2000000 cliques
  98. Mon May 8 09:06:42 2023 commencing in-memory singleton removal
  99. Mon May 8 09:06:45 2023 begin with 28598645 relations and 31891055 unique ideals
  100. Mon May 8 09:07:10 2023 reduce to 27855716 relations and 27200486 ideals in 8 passes
  101. Mon May 8 09:07:10 2023 max relations containing the same ideal: 93
  102. Mon May 8 09:07:32 2023 removing 389373 relations and 321303 ideals in 68070 cliques
  103. Mon May 8 09:07:35 2023 commencing in-memory singleton removal
  104. Mon May 8 09:07:38 2023 begin with 27466343 relations and 27200486 unique ideals
  105. Mon May 8 09:07:57 2023 reduce to 27461971 relations and 26874804 ideals in 6 passes
  106. Mon May 8 09:07:57 2023 max relations containing the same ideal: 92
  107. Mon May 8 09:08:05 2023 relations with 0 large ideals: 39204
  108. Mon May 8 09:08:05 2023 relations with 1 large ideals: 6300
  109. Mon May 8 09:08:05 2023 relations with 2 large ideals: 76860
  110. Mon May 8 09:08:05 2023 relations with 3 large ideals: 538882
  111. Mon May 8 09:08:05 2023 relations with 4 large ideals: 2077657
  112. Mon May 8 09:08:05 2023 relations with 5 large ideals: 4830601
  113. Mon May 8 09:08:05 2023 relations with 6 large ideals: 7988381
  114. Mon May 8 09:08:05 2023 relations with 7+ large ideals: 11904086
  115. Mon May 8 09:08:05 2023 commencing 2-way merge
  116. Mon May 8 09:08:25 2023 reduce to 18885280 relation sets and 18298113 unique ideals
  117. Mon May 8 09:08:25 2023 commencing full merge
  118. Mon May 8 09:17:53 2023 memory use: 2394.9 MB
  119. Mon May 8 09:17:56 2023 found 8884982 cycles, need 8834313
  120. Mon May 8 09:18:00 2023 weight of 8834313 cycles is about 883831465 (100.05/cycle)
  121. Mon May 8 09:18:00 2023 distribution of cycle lengths:
  122. Mon May 8 09:18:00 2023 1 relations: 494342
  123. Mon May 8 09:18:00 2023 2 relations: 641519
  124. Mon May 8 09:18:00 2023 3 relations: 731190
  125. Mon May 8 09:18:00 2023 4 relations: 748685
  126. Mon May 8 09:18:01 2023 5 relations: 750171
  127. Mon May 8 09:18:01 2023 6 relations: 732923
  128. Mon May 8 09:18:01 2023 7 relations: 690765
  129. Mon May 8 09:18:01 2023 8 relations: 639041
  130. Mon May 8 09:18:01 2023 9 relations: 575244
  131. Mon May 8 09:18:01 2023 10+ relations: 2830433
  132. Mon May 8 09:18:01 2023 heaviest cycle: 28 relations
  133. Mon May 8 09:18:04 2023 commencing cycle optimization
  134. Mon May 8 09:18:27 2023 start with 69160253 relations
  135. Mon May 8 09:21:51 2023 pruned 3091889 relations
  136. Mon May 8 09:21:52 2023 memory use: 1858.5 MB
  137. Mon May 8 09:21:52 2023 distribution of cycle lengths:
  138. Mon May 8 09:21:52 2023 1 relations: 494342
  139. Mon May 8 09:21:52 2023 2 relations: 656481
  140. Mon May 8 09:21:52 2023 3 relations: 762522
  141. Mon May 8 09:21:52 2023 4 relations: 779934
  142. Mon May 8 09:21:52 2023 5 relations: 790064
  143. Mon May 8 09:21:52 2023 6 relations: 767826
  144. Mon May 8 09:21:52 2023 7 relations: 725413
  145. Mon May 8 09:21:52 2023 8 relations: 665291
  146. Mon May 8 09:21:52 2023 9 relations: 595368
  147. Mon May 8 09:21:52 2023 10+ relations: 2597072
  148. Mon May 8 09:21:52 2023 heaviest cycle: 28 relations
  149. Mon May 8 09:22:22 2023 RelProcTime: 6067
  150. Mon May 8 09:22:22 2023 elapsed time 01:41:09
  151. Mon May 8 10:07:58 2023
  152. Mon May 8 10:07:58 2023
  153. Mon May 8 10:07:58 2023 Msieve v. 1.54 (SVN Unversioned directory)
  154. Mon May 8 10:07:58 2023 random seeds: 4f6c4727 8af0f088
  155. Mon May 8 10:07:58 2023 factoring 7135738443176965793866587763013487969593797790915049433625961303653902772994912227400583547229936756244579996068522609150697721568680455902510898983273078478094297763357336838154185696182476006500083197636537495311 (214 digits)
  156. Mon May 8 10:07:59 2023 no P-1/P+1/ECM available, skipping
  157. Mon May 8 10:07:59 2023 commencing number field sieve (214-digit input)
  158. Mon May 8 10:07:59 2023 R0: 1057925995166102605221918896097320573504552119250
  159. Mon May 8 10:07:59 2023 R1: -1028555295142707728805943
  160. Mon May 8 10:07:59 2023 A0: 1
  161. Mon May 8 10:07:59 2023 A1: 3
  162. Mon May 8 10:07:59 2023 A2: -3
  163. Mon May 8 10:07:59 2023 A3: -4
  164. Mon May 8 10:07:59 2023 A4: 1
  165. Mon May 8 10:07:59 2023 A5: 1
  166. Mon May 8 10:07:59 2023 skew 1.00, size 2.497e-16, alpha 2.379, combined = 3.734e-13 rroots = 5
  167. Mon May 8 10:07:59 2023
  168. Mon May 8 10:07:59 2023 commencing linear algebra
  169. Mon May 8 10:07:59 2023 using VBITS=512
  170. Mon May 8 10:08:00 2023 read 8834313 cycles
  171. Mon May 8 10:08:21 2023 cycles contain 27167594 unique relations
  172. Mon May 8 10:11:40 2023 read 27167594 relations
  173. Mon May 8 10:12:57 2023 using 20 quadratic characters above 4294917295
  174. Mon May 8 10:15:48 2023 building initial matrix
  175. Mon May 8 10:23:09 2023 memory use: 3356.7 MB
  176. Mon May 8 10:23:13 2023 read 8834313 cycles
  177. Mon May 8 10:23:15 2023 matrix is 8834136 x 8834313 (3545.4 MB) with weight 1015755522 (114.98/col)
  178. Mon May 8 10:23:15 2023 sparse part has weight 832233130 (94.20/col)
  179. Mon May 8 10:25:41 2023 filtering completed in 2 passes
  180. Mon May 8 10:25:44 2023 matrix is 8833716 x 8833855 (3545.4 MB) with weight 1015741919 (114.98/col)
  181. Mon May 8 10:25:44 2023 sparse part has weight 832228778 (94.21/col)
  182. Mon May 8 10:26:13 2023 matrix starts at (0, 0)
  183. Mon May 8 10:26:14 2023 matrix is 8833716 x 8833855 (3545.4 MB) with weight 1015741919 (114.98/col)
  184. Mon May 8 10:26:14 2023 sparse part has weight 832228778 (94.21/col)
  185. Mon May 8 10:26:14 2023 saving the first 496 matrix rows for later
  186. Mon May 8 10:26:18 2023 matrix includes 512 packed rows
  187. Mon May 8 10:26:26 2023 matrix is 8833220 x 8833855 (3400.2 MB) with weight 717132326 (81.18/col)
  188. Mon May 8 10:26:26 2023 sparse part has weight 679324296 (76.90/col)
  189. Mon May 8 10:26:27 2023 using GPU 0 (NVIDIA GeForce RTX 3060)
  190. Mon May 8 10:26:27 2023 selected card has CUDA arch 8.6
  191. Mon May 8 10:27:44 2023 commencing Lanczos iteration
  192. Mon May 8 10:27:45 2023 memory use: 9698.5 MB
  193. Mon May 8 10:28:16 2023 linear algebra at 0.2%, ETA 4h47m
  194. Mon May 8 10:28:17 2023 checkpointing every 1850000 dimensions
  195. Mon May 8 15:13:30 2023 lanczos halted after 17280 iterations (dim = 8833216)
  196. Mon May 8 15:17:05 2023 recovered 33 nontrivial dependencies
  197. Mon May 8 15:17:06 2023 BLanczosTime: 18547
  198. Mon May 8 15:17:06 2023
  199. Mon May 8 15:17:06 2023 commencing square root phase
  200. Mon May 8 15:17:06 2023 handling dependencies 1 to 64
  201. Mon May 8 15:17:06 2023 reading relations for dependency 1
  202. Mon May 8 15:17:07 2023 read 4415532 cycles
  203. Mon May 8 15:17:19 2023 cycles contain 13584344 unique relations
  204. Mon May 8 15:19:10 2023 read 13584344 relations
  205. Mon May 8 15:20:47 2023 multiplying 13584344 relations
  206. Mon May 8 15:29:42 2023 multiply complete, coefficients have about 341.15 million bits
  207. Mon May 8 15:29:45 2023 initial square root is modulo 1322423
  208. Mon May 8 15:40:03 2023 sqrtTime: 1377
  209. Mon May 8 15:40:03 2023 p81 factor: 710370740208939975391851961944124888159297643968424605203416175219402236939673863
  210. Mon May 8 15:40:03 2023 p134 factor: 10045090597450768892348100638826892986227448049831027071564554450622166980552037588907435862940869135271475434519638437131700103866297
  211. Mon May 8 15:40:03 2023 elapsed time 05:32:05
  212.  
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