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Mar 4th, 2024
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  1. Mon Mar 4 12:39:15 2024
  2. Mon Mar 4 12:39:15 2024 Msieve v. 1.54 (SVN Unversioned directory)
  3. Mon Mar 4 12:39:15 2024 random seeds: c897b17b 9c406bf3
  4. Mon Mar 4 12:39:15 2024 factoring 69669521357610753023870713142614563847818133956816197401022920020897629738838546525899971994608189215104713488356332782036989035111804135426648900517135296415953 (161 digits)
  5. Mon Mar 4 12:39:16 2024 no P-1/P+1/ECM available, skipping
  6. Mon Mar 4 12:39:16 2024 commencing number field sieve (161-digit input)
  7. Mon Mar 4 12:39:16 2024 R0: -27638086336681720844325511012561
  8. Mon Mar 4 12:39:16 2024 R1: 37283184571576918249
  9. Mon Mar 4 12:39:16 2024 A0: 23728173804271030966384186018587913236
  10. Mon Mar 4 12:39:16 2024 A1: -15052391892318933133740351134100
  11. Mon Mar 4 12:39:16 2024 A2: -8264644849620904643136381
  12. Mon Mar 4 12:39:16 2024 A3: -860009999140511027
  13. Mon Mar 4 12:39:16 2024 A4: 283668539482
  14. Mon Mar 4 12:39:16 2024 A5: 8640
  15. Mon Mar 4 12:39:16 2024 skew 1.00, size 1.657e-15, alpha -6.168, combined = 9.897e-15 rroots = 3
  16. Mon Mar 4 12:39:16 2024
  17. Mon Mar 4 12:39:16 2024 commencing relation filtering
  18. Mon Mar 4 12:39:16 2024 setting target matrix density to 120.0
  19. Mon Mar 4 12:39:16 2024 estimated available RAM is 15960.0 MB
  20. Mon Mar 4 12:39:16 2024 commencing duplicate removal, pass 1
  21. Mon Mar 4 12:55:00 2024 found 5947029 hash collisions in 163884359 relations
  22. Mon Mar 4 12:55:25 2024 commencing duplicate removal, pass 2
  23. Mon Mar 4 12:56:18 2024 found 2 duplicates and 163884357 unique relations
  24. Mon Mar 4 12:56:18 2024 memory use: 506.4 MB
  25. Mon Mar 4 12:56:18 2024 reading ideals above 65994752
  26. Mon Mar 4 12:56:18 2024 commencing singleton removal, initial pass
  27. Mon Mar 4 13:07:47 2024 memory use: 3012.0 MB
  28. Mon Mar 4 13:07:47 2024 reading all ideals from disk
  29. Mon Mar 4 13:07:53 2024 memory use: 2901.3 MB
  30. Mon Mar 4 13:07:59 2024 commencing in-memory singleton removal
  31. Mon Mar 4 13:08:04 2024 begin with 163884357 relations and 145846439 unique ideals
  32. Mon Mar 4 13:08:57 2024 reduce to 90538770 relations and 63502569 ideals in 14 passes
  33. Mon Mar 4 13:08:57 2024 max relations containing the same ideal: 66
  34. Mon Mar 4 13:09:01 2024 reading ideals above 720000
  35. Mon Mar 4 13:09:01 2024 commencing singleton removal, initial pass
  36. Mon Mar 4 13:17:00 2024 memory use: 1506.0 MB
  37. Mon Mar 4 13:17:00 2024 reading all ideals from disk
  38. Mon Mar 4 13:17:07 2024 memory use: 3327.6 MB
  39. Mon Mar 4 13:17:15 2024 keeping 70812642 ideals with weight <= 200, target excess is 481458
  40. Mon Mar 4 13:17:23 2024 commencing in-memory singleton removal
  41. Mon Mar 4 13:17:29 2024 begin with 90538770 relations and 70812642 unique ideals
  42. Mon Mar 4 13:18:02 2024 reduce to 90538539 relations and 70812411 ideals in 6 passes
  43. Mon Mar 4 13:18:02 2024 max relations containing the same ideal: 200
  44. Mon Mar 4 13:18:37 2024 removing 10254286 relations and 8254286 ideals in 2000000 cliques
  45. Mon Mar 4 13:18:40 2024 commencing in-memory singleton removal
  46. Mon Mar 4 13:18:46 2024 begin with 80284253 relations and 70812411 unique ideals
  47. Mon Mar 4 13:19:26 2024 reduce to 79437616 relations and 61688115 ideals in 8 passes
  48. Mon Mar 4 13:19:26 2024 max relations containing the same ideal: 193
  49. Mon Mar 4 13:19:57 2024 removing 7809597 relations and 5809597 ideals in 2000000 cliques
  50. Mon Mar 4 13:20:00 2024 commencing in-memory singleton removal
  51. Mon Mar 4 13:20:04 2024 begin with 71628019 relations and 61688115 unique ideals
  52. Mon Mar 4 13:20:44 2024 reduce to 71045316 relations and 55281145 ideals in 9 passes
  53. Mon Mar 4 13:20:44 2024 max relations containing the same ideal: 182
  54. Mon Mar 4 13:21:11 2024 removing 7108939 relations and 5108939 ideals in 2000000 cliques
  55. Mon Mar 4 13:21:14 2024 commencing in-memory singleton removal
  56. Mon Mar 4 13:21:18 2024 begin with 63936377 relations and 55281145 unique ideals
  57. Mon Mar 4 13:21:45 2024 reduce to 63414549 relations and 49636604 ideals in 7 passes
  58. Mon Mar 4 13:21:45 2024 max relations containing the same ideal: 167
  59. Mon Mar 4 13:22:09 2024 removing 6752860 relations and 4752860 ideals in 2000000 cliques
  60. Mon Mar 4 13:22:11 2024 commencing in-memory singleton removal
  61. Mon Mar 4 13:22:14 2024 begin with 56661689 relations and 49636604 unique ideals
  62. Mon Mar 4 13:22:37 2024 reduce to 56155916 relations and 44363575 ideals in 7 passes
  63. Mon Mar 4 13:22:37 2024 max relations containing the same ideal: 157
  64. Mon Mar 4 13:22:58 2024 removing 6533041 relations and 4533041 ideals in 2000000 cliques
  65. Mon Mar 4 13:23:00 2024 commencing in-memory singleton removal
  66. Mon Mar 4 13:23:03 2024 begin with 49622875 relations and 44363575 unique ideals
  67. Mon Mar 4 13:23:23 2024 reduce to 49109644 relations and 39300935 ideals in 7 passes
  68. Mon Mar 4 13:23:23 2024 max relations containing the same ideal: 146
  69. Mon Mar 4 13:23:42 2024 removing 6389416 relations and 4389416 ideals in 2000000 cliques
  70. Mon Mar 4 13:23:44 2024 commencing in-memory singleton removal
  71. Mon Mar 4 13:23:46 2024 begin with 42720228 relations and 39300935 unique ideals
  72. Mon Mar 4 13:24:03 2024 reduce to 42177341 relations and 34349392 ideals in 7 passes
  73. Mon Mar 4 13:24:03 2024 max relations containing the same ideal: 130
  74. Mon Mar 4 13:24:19 2024 removing 6294172 relations and 4294172 ideals in 2000000 cliques
  75. Mon Mar 4 13:24:21 2024 commencing in-memory singleton removal
  76. Mon Mar 4 13:24:23 2024 begin with 35883169 relations and 34349392 unique ideals
  77. Mon Mar 4 13:24:37 2024 reduce to 35288139 relations and 29435945 ideals in 7 passes
  78. Mon Mar 4 13:24:37 2024 max relations containing the same ideal: 116
  79. Mon Mar 4 13:24:50 2024 removing 6232629 relations and 4232629 ideals in 2000000 cliques
  80. Mon Mar 4 13:24:52 2024 commencing in-memory singleton removal
  81. Mon Mar 4 13:24:53 2024 begin with 29055510 relations and 29435945 unique ideals
  82. Mon Mar 4 13:25:07 2024 reduce to 28369733 relations and 24483706 ideals in 9 passes
  83. Mon Mar 4 13:25:07 2024 max relations containing the same ideal: 99
  84. Mon Mar 4 13:25:18 2024 removing 6198083 relations and 4198084 ideals in 2000000 cliques
  85. Mon Mar 4 13:25:19 2024 commencing in-memory singleton removal
  86. Mon Mar 4 13:25:21 2024 begin with 22171650 relations and 24483706 unique ideals
  87. Mon Mar 4 13:25:30 2024 reduce to 21334843 relations and 19397472 ideals in 8 passes
  88. Mon Mar 4 13:25:30 2024 max relations containing the same ideal: 82
  89. Mon Mar 4 13:25:38 2024 removing 4585272 relations and 3206393 ideals in 1378879 cliques
  90. Mon Mar 4 13:25:39 2024 commencing in-memory singleton removal
  91. Mon Mar 4 13:25:40 2024 begin with 16749571 relations and 19397472 unique ideals
  92. Mon Mar 4 13:25:47 2024 reduce to 16113941 relations and 15518502 ideals in 9 passes
  93. Mon Mar 4 13:25:47 2024 max relations containing the same ideal: 67
  94. Mon Mar 4 13:25:54 2024 removing 246384 relations and 209437 ideals in 36947 cliques
  95. Mon Mar 4 13:25:54 2024 commencing in-memory singleton removal
  96. Mon Mar 4 13:25:55 2024 begin with 15867557 relations and 15518502 unique ideals
  97. Mon Mar 4 13:26:00 2024 reduce to 15865239 relations and 15306739 ideals in 6 passes
  98. Mon Mar 4 13:26:00 2024 max relations containing the same ideal: 67
  99. Mon Mar 4 13:26:02 2024 relations with 0 large ideals: 1507
  100. Mon Mar 4 13:26:02 2024 relations with 1 large ideals: 10099
  101. Mon Mar 4 13:26:02 2024 relations with 2 large ideals: 139608
  102. Mon Mar 4 13:26:02 2024 relations with 3 large ideals: 810723
  103. Mon Mar 4 13:26:02 2024 relations with 4 large ideals: 2419080
  104. Mon Mar 4 13:26:02 2024 relations with 5 large ideals: 4124427
  105. Mon Mar 4 13:26:02 2024 relations with 6 large ideals: 4283737
  106. Mon Mar 4 13:26:02 2024 relations with 7+ large ideals: 4076058
  107. Mon Mar 4 13:26:02 2024 commencing 2-way merge
  108. Mon Mar 4 13:26:10 2024 reduce to 9788053 relation sets and 9229553 unique ideals
  109. Mon Mar 4 13:26:10 2024 commencing full merge
  110. Mon Mar 4 13:28:38 2024 memory use: 1187.4 MB
  111. Mon Mar 4 13:28:39 2024 found 4462185 cycles, need 4415753
  112. Mon Mar 4 13:28:40 2024 weight of 4415753 cycles is about 529990408 (120.02/cycle)
  113. Mon Mar 4 13:28:40 2024 distribution of cycle lengths:
  114. Mon Mar 4 13:28:40 2024 1 relations: 161030
  115. Mon Mar 4 13:28:40 2024 2 relations: 251309
  116. Mon Mar 4 13:28:40 2024 3 relations: 301186
  117. Mon Mar 4 13:28:40 2024 4 relations: 321071
  118. Mon Mar 4 13:28:40 2024 5 relations: 336587
  119. Mon Mar 4 13:28:40 2024 6 relations: 339249
  120. Mon Mar 4 13:28:40 2024 7 relations: 336154
  121. Mon Mar 4 13:28:40 2024 8 relations: 320390
  122. Mon Mar 4 13:28:40 2024 9 relations: 299598
  123. Mon Mar 4 13:28:40 2024 10+ relations: 1749179
  124. Mon Mar 4 13:28:40 2024 heaviest cycle: 28 relations
  125. Mon Mar 4 13:28:42 2024 commencing cycle optimization
  126. Mon Mar 4 13:28:48 2024 start with 38877940 relations
  127. Mon Mar 4 13:29:50 2024 pruned 1724540 relations
  128. Mon Mar 4 13:29:50 2024 memory use: 1052.7 MB
  129. Mon Mar 4 13:29:50 2024 distribution of cycle lengths:
  130. Mon Mar 4 13:29:50 2024 1 relations: 161030
  131. Mon Mar 4 13:29:50 2024 2 relations: 258045
  132. Mon Mar 4 13:29:50 2024 3 relations: 314316
  133. Mon Mar 4 13:29:50 2024 4 relations: 334827
  134. Mon Mar 4 13:29:50 2024 5 relations: 353984
  135. Mon Mar 4 13:29:50 2024 6 relations: 356077
  136. Mon Mar 4 13:29:50 2024 7 relations: 353830
  137. Mon Mar 4 13:29:50 2024 8 relations: 336224
  138. Mon Mar 4 13:29:50 2024 9 relations: 313218
  139. Mon Mar 4 13:29:50 2024 10+ relations: 1634202
  140. Mon Mar 4 13:29:50 2024 heaviest cycle: 27 relations
  141. Mon Mar 4 13:29:56 2024 RelProcTime: 3040
  142. Mon Mar 4 13:29:56 2024 elapsed time 00:50:41
  143. Mon Mar 4 13:30:44 2024
  144. Mon Mar 4 13:30:44 2024
  145. Mon Mar 4 13:30:44 2024 Msieve v. 1.54 (SVN Unversioned directory)
  146. Mon Mar 4 13:30:44 2024 random seeds: 08f70826 4d1db0dd
  147. Mon Mar 4 13:30:44 2024 factoring 69669521357610753023870713142614563847818133956816197401022920020897629738838546525899971994608189215104713488356332782036989035111804135426648900517135296415953 (161 digits)
  148. Mon Mar 4 13:30:44 2024 no P-1/P+1/ECM available, skipping
  149. Mon Mar 4 13:30:44 2024 commencing number field sieve (161-digit input)
  150. Mon Mar 4 13:30:44 2024 R0: -27638086336681720844325511012561
  151. Mon Mar 4 13:30:44 2024 R1: 37283184571576918249
  152. Mon Mar 4 13:30:44 2024 A0: 23728173804271030966384186018587913236
  153. Mon Mar 4 13:30:44 2024 A1: -15052391892318933133740351134100
  154. Mon Mar 4 13:30:44 2024 A2: -8264644849620904643136381
  155. Mon Mar 4 13:30:44 2024 A3: -860009999140511027
  156. Mon Mar 4 13:30:44 2024 A4: 283668539482
  157. Mon Mar 4 13:30:44 2024 A5: 8640
  158. Mon Mar 4 13:30:44 2024 skew 1.00, size 1.657e-15, alpha -6.168, combined = 9.897e-15 rroots = 3
  159. Mon Mar 4 13:30:44 2024
  160. Mon Mar 4 13:30:44 2024 commencing linear algebra
  161. Mon Mar 4 13:30:44 2024 using VBITS=512
  162. Mon Mar 4 13:30:45 2024 read 4415753 cycles
  163. Mon Mar 4 13:30:51 2024 cycles contain 15548271 unique relations
  164. Mon Mar 4 13:31:57 2024 read 15548271 relations
  165. Mon Mar 4 13:32:15 2024 using 20 quadratic characters above 4294917295
  166. Mon Mar 4 13:33:15 2024 building initial matrix
  167. Mon Mar 4 13:36:36 2024 memory use: 2099.8 MB
  168. Mon Mar 4 13:36:39 2024 read 4415753 cycles
  169. Mon Mar 4 13:36:40 2024 matrix is 4415575 x 4415753 (2073.9 MB) with weight 631470473 (143.00/col)
  170. Mon Mar 4 13:36:40 2024 sparse part has weight 495085207 (112.12/col)
  171. Mon Mar 4 13:37:47 2024 filtering completed in 2 passes
  172. Mon Mar 4 13:37:49 2024 matrix is 4415360 x 4415535 (2073.9 MB) with weight 631458747 (143.01/col)
  173. Mon Mar 4 13:37:49 2024 sparse part has weight 495080626 (112.12/col)
  174. Mon Mar 4 13:38:05 2024 matrix starts at (0, 0)
  175. Mon Mar 4 13:38:06 2024 matrix is 4415360 x 4415535 (2073.9 MB) with weight 631458747 (143.01/col)
  176. Mon Mar 4 13:38:06 2024 sparse part has weight 495080626 (112.12/col)
  177. Mon Mar 4 13:38:06 2024 saving the first 496 matrix rows for later
  178. Mon Mar 4 13:38:07 2024 matrix includes 512 packed rows
  179. Mon Mar 4 13:38:11 2024 matrix is 4414864 x 4415535 (1904.7 MB) with weight 420472993 (95.23/col)
  180. Mon Mar 4 13:38:11 2024 sparse part has weight 393331418 (89.08/col)
  181. Mon Mar 4 13:38:11 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  182. Mon Mar 4 13:38:11 2024 selected card has CUDA arch 8.6
  183. Mon Mar 4 13:38:52 2024 commencing Lanczos iteration
  184. Mon Mar 4 13:38:53 2024 memory use: 5291.7 MB
  185. Mon Mar 4 13:39:09 2024 linear algebra at 0.3%, ETA 1h16m
  186. Mon Mar 4 13:39:10 2024 checkpointing every 3360000 dimensions
  187. Mon Mar 4 15:01:27 2024 lanczos halted after 8637 iterations (dim = 4414863)
  188. Mon Mar 4 15:02:55 2024 recovered 30 nontrivial dependencies
  189. Mon Mar 4 15:02:56 2024 BLanczosTime: 5532
  190. Mon Mar 4 15:02:56 2024
  191. Mon Mar 4 15:02:56 2024 commencing square root phase
  192. Mon Mar 4 15:02:56 2024 handling dependencies 1 to 64
  193. Mon Mar 4 15:02:56 2024 reading relations for dependency 1
  194. Mon Mar 4 15:02:57 2024 read 2207497 cycles
  195. Mon Mar 4 15:03:02 2024 cycles contain 7772886 unique relations
  196. Mon Mar 4 15:04:26 2024 read 7772886 relations
  197. Mon Mar 4 15:05:12 2024 multiplying 7772886 relations
  198. Mon Mar 4 15:13:23 2024 multiply complete, coefficients have about 387.98 million bits
  199. Mon Mar 4 15:13:26 2024 initial square root is modulo 9152789
  200. Mon Mar 4 15:23:04 2024 GCD is 1, no factor found
  201. Mon Mar 4 15:23:04 2024 reading relations for dependency 2
  202. Mon Mar 4 15:23:05 2024 read 2206742 cycles
  203. Mon Mar 4 15:23:11 2024 cycles contain 7774174 unique relations
  204. Mon Mar 4 15:24:25 2024 read 7774174 relations
  205. Mon Mar 4 15:25:11 2024 multiplying 7774174 relations
  206. Mon Mar 4 15:33:06 2024 multiply complete, coefficients have about 388.03 million bits
  207. Mon Mar 4 15:33:09 2024 initial square root is modulo 9174311
  208. Mon Mar 4 15:42:51 2024 sqrtTime: 2395
  209. Mon Mar 4 15:42:51 2024 p73 factor: 1908927462871220374609934399093890075700448979998905008842766925656211741
  210. Mon Mar 4 15:42:51 2024 p89 factor: 36496683458480256694611556559686083328000553139720097028821533843546999540251704773438533
  211. Mon Mar 4 15:42:51 2024 elapsed time 02:12:07
  212.  
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