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Sep 22nd, 2023
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  1. Thu Sep 21 15:06:48 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Thu Sep 21 15:06:48 2023 random seeds: 0dac6aaf d74fdc40
  3. Thu Sep 21 15:06:48 2023 Using 16 OpenMP threads
  4. Thu Sep 21 15:06:48 2023 factoring 3108381563589239783109786882298786636294082513487838872145331662003180966115456926159051549454425897670408166616933752489671915335579333573745984556051090230556123986443049355913306357229626822728893917325027514739575732689386854985036789121 (241 digits)
  5. Thu Sep 21 15:06:48 2023 no P-1/P+1/ECM available, skipping
  6. Thu Sep 21 15:06:48 2023 commencing number field sieve (241-digit input)
  7. Thu Sep 21 15:06:48 2023 R0: 2710505431213761085018632002174854278564453125
  8. Thu Sep 21 15:06:48 2023 R1: -1361129467683753853853498429727072845824
  9. Thu Sep 21 15:06:48 2023 A0: 25
  10. Thu Sep 21 15:06:48 2023 A1: 0
  11. Thu Sep 21 15:06:48 2023 A2: 0
  12. Thu Sep 21 15:06:48 2023 A3: 0
  13. Thu Sep 21 15:06:48 2023 A4: 0
  14. Thu Sep 21 15:06:48 2023 A5: 0
  15. Thu Sep 21 15:06:48 2023 A6: 16
  16. Thu Sep 21 15:06:48 2023 skew 1.08, size 1.270e-13, alpha 1.185, combined = 2.492e-14 rroots = 0
  17. Thu Sep 21 15:06:48 2023
  18. Thu Sep 21 15:06:48 2023 commencing relation filtering
  19. Thu Sep 21 15:06:48 2023 setting target matrix density to 110.0
  20. Thu Sep 21 15:06:48 2023 estimated available RAM is 128734.5 MB
  21. Thu Sep 21 15:06:48 2023 commencing duplicate removal, pass 1
  22. Thu Sep 21 15:07:23 2023 error -15 reading relation 47366436
  23. Thu Sep 21 15:08:00 2023 error -15 reading relation 97880227
  24. Thu Sep 21 15:09:48 2023 error -11 reading relation 242048669
  25. Thu Sep 21 15:10:09 2023 error -11 reading relation 269393079
  26. Thu Sep 21 15:10:25 2023 skipped 2227 relations with b > 2^32
  27. Thu Sep 21 15:10:25 2023 found 17929462 hash collisions in 289994284 relations
  28. Thu Sep 21 15:10:30 2023 commencing duplicate removal, pass 2
  29. Thu Sep 21 15:11:28 2023 found 0 duplicates and 289994284 unique relations
  30. Thu Sep 21 15:11:28 2023 memory use: 852.8 MB
  31. Thu Sep 21 15:11:28 2023 reading ideals above 720000
  32. Thu Sep 21 15:11:28 2023 commencing singleton removal, initial pass
  33. Thu Sep 21 15:20:46 2023 memory use: 6024.0 MB
  34. Thu Sep 21 15:20:46 2023 reading all ideals from disk
  35. Thu Sep 21 15:20:48 2023 memory use: 14593.8 MB
  36. Thu Sep 21 15:21:01 2023 keeping 277768080 ideals with weight <= 200, target excess is 1496954
  37. Thu Sep 21 15:21:18 2023 commencing in-memory singleton removal
  38. Thu Sep 21 15:21:23 2023 begin with 289994284 relations and 277768080 unique ideals
  39. Thu Sep 21 15:21:59 2023 reduce to 197593411 relations and 178907664 ideals in 17 passes
  40. Thu Sep 21 15:21:59 2023 max relations containing the same ideal: 164
  41. Thu Sep 21 15:22:36 2023 removing 15963906 relations and 13963906 ideals in 2000000 cliques
  42. Thu Sep 21 15:22:41 2023 commencing in-memory singleton removal
  43. Thu Sep 21 15:22:44 2023 begin with 181629505 relations and 178907664 unique ideals
  44. Thu Sep 21 15:23:01 2023 reduce to 180510084 relations and 163808150 ideals in 10 passes
  45. Thu Sep 21 15:23:01 2023 max relations containing the same ideal: 152
  46. Thu Sep 21 15:23:35 2023 removing 12008301 relations and 10008302 ideals in 2000000 cliques
  47. Thu Sep 21 15:23:39 2023 commencing in-memory singleton removal
  48. Thu Sep 21 15:23:42 2023 begin with 168501783 relations and 163808150 unique ideals
  49. Thu Sep 21 15:23:57 2023 reduce to 167793815 relations and 153083280 ideals in 10 passes
  50. Thu Sep 21 15:23:57 2023 max relations containing the same ideal: 148
  51. Thu Sep 21 15:24:29 2023 removing 10794831 relations and 8794831 ideals in 2000000 cliques
  52. Thu Sep 21 15:24:32 2023 commencing in-memory singleton removal
  53. Thu Sep 21 15:24:35 2023 begin with 156998984 relations and 153083280 unique ideals
  54. Thu Sep 21 15:24:48 2023 reduce to 156377718 relations and 143659753 ideals in 9 passes
  55. Thu Sep 21 15:24:48 2023 max relations containing the same ideal: 142
  56. Thu Sep 21 15:25:18 2023 removing 10169664 relations and 8169664 ideals in 2000000 cliques
  57. Thu Sep 21 15:25:21 2023 commencing in-memory singleton removal
  58. Thu Sep 21 15:25:24 2023 begin with 146208054 relations and 143659753 unique ideals
  59. Thu Sep 21 15:25:35 2023 reduce to 145620622 relations and 134895424 ideals in 8 passes
  60. Thu Sep 21 15:25:35 2023 max relations containing the same ideal: 134
  61. Thu Sep 21 15:26:03 2023 removing 9796574 relations and 7796574 ideals in 2000000 cliques
  62. Thu Sep 21 15:26:06 2023 commencing in-memory singleton removal
  63. Thu Sep 21 15:26:08 2023 begin with 135824048 relations and 134895424 unique ideals
  64. Thu Sep 21 15:26:18 2023 reduce to 135246947 relations and 126514478 ideals in 8 passes
  65. Thu Sep 21 15:26:18 2023 max relations containing the same ideal: 130
  66. Thu Sep 21 15:26:45 2023 removing 9552419 relations and 7552419 ideals in 2000000 cliques
  67. Thu Sep 21 15:26:48 2023 commencing in-memory singleton removal
  68. Thu Sep 21 15:26:50 2023 begin with 125694528 relations and 126514478 unique ideals
  69. Thu Sep 21 15:27:01 2023 reduce to 125104524 relations and 118364157 ideals in 10 passes
  70. Thu Sep 21 15:27:01 2023 max relations containing the same ideal: 126
  71. Thu Sep 21 15:27:26 2023 removing 9399707 relations and 7399707 ideals in 2000000 cliques
  72. Thu Sep 21 15:27:29 2023 commencing in-memory singleton removal
  73. Thu Sep 21 15:27:31 2023 begin with 115704817 relations and 118364157 unique ideals
  74. Thu Sep 21 15:27:40 2023 reduce to 115091684 relations and 110342350 ideals in 9 passes
  75. Thu Sep 21 15:27:40 2023 max relations containing the same ideal: 116
  76. Thu Sep 21 15:28:03 2023 removing 9313262 relations and 7313262 ideals in 2000000 cliques
  77. Thu Sep 21 15:28:06 2023 commencing in-memory singleton removal
  78. Thu Sep 21 15:28:08 2023 begin with 105778422 relations and 110342350 unique ideals
  79. Thu Sep 21 15:28:15 2023 reduce to 105125848 relations and 102366472 ideals in 8 passes
  80. Thu Sep 21 15:28:15 2023 max relations containing the same ideal: 107
  81. Thu Sep 21 15:28:36 2023 removing 5431875 relations and 4408966 ideals in 1022909 cliques
  82. Thu Sep 21 15:28:38 2023 commencing in-memory singleton removal
  83. Thu Sep 21 15:28:40 2023 begin with 99693973 relations and 102366472 unique ideals
  84. Thu Sep 21 15:28:47 2023 reduce to 99469902 relations and 97731416 ideals in 8 passes
  85. Thu Sep 21 15:28:47 2023 max relations containing the same ideal: 104
  86. Thu Sep 21 15:29:17 2023 relations with 0 large ideals: 57382
  87. Thu Sep 21 15:29:17 2023 relations with 1 large ideals: 19184
  88. Thu Sep 21 15:29:17 2023 relations with 2 large ideals: 264535
  89. Thu Sep 21 15:29:17 2023 relations with 3 large ideals: 1848314
  90. Thu Sep 21 15:29:17 2023 relations with 4 large ideals: 7177737
  91. Thu Sep 21 15:29:17 2023 relations with 5 large ideals: 16920465
  92. Thu Sep 21 15:29:17 2023 relations with 6 large ideals: 25357633
  93. Thu Sep 21 15:29:17 2023 relations with 7+ large ideals: 47824652
  94. Thu Sep 21 15:29:17 2023 commencing 2-way merge
  95. Thu Sep 21 15:29:48 2023 reduce to 62713555 relation sets and 60975069 unique ideals
  96. Thu Sep 21 15:29:48 2023 commencing full merge
  97. Thu Sep 21 15:44:39 2023 memory use: 7837.0 MB
  98. Thu Sep 21 15:44:43 2023 found 28755921 cycles, need 28655269
  99. Thu Sep 21 15:44:48 2023 weight of 28655269 cycles is about 3152620235 (110.02/cycle)
  100. Thu Sep 21 15:44:48 2023 distribution of cycle lengths:
  101. Thu Sep 21 15:44:48 2023 1 relations: 2396272
  102. Thu Sep 21 15:44:48 2023 2 relations: 2423832
  103. Thu Sep 21 15:44:48 2023 3 relations: 2417556
  104. Thu Sep 21 15:44:48 2023 4 relations: 2277568
  105. Thu Sep 21 15:44:48 2023 5 relations: 2165242
  106. Thu Sep 21 15:44:48 2023 6 relations: 2031572
  107. Thu Sep 21 15:44:48 2023 7 relations: 1892094
  108. Thu Sep 21 15:44:48 2023 8 relations: 1752823
  109. Thu Sep 21 15:44:48 2023 9 relations: 1605176
  110. Thu Sep 21 15:44:48 2023 10+ relations: 9693134
  111. Thu Sep 21 15:44:48 2023 heaviest cycle: 28 relations
  112. Thu Sep 21 15:44:53 2023 commencing cycle optimization
  113. Thu Sep 21 15:45:31 2023 start with 227246855 relations
  114. Thu Sep 21 15:50:20 2023 pruned 8177875 relations
  115. Thu Sep 21 15:50:20 2023 memory use: 6419.2 MB
  116. Thu Sep 21 15:50:20 2023 distribution of cycle lengths:
  117. Thu Sep 21 15:50:20 2023 1 relations: 2396272
  118. Thu Sep 21 15:50:20 2023 2 relations: 2478844
  119. Thu Sep 21 15:50:20 2023 3 relations: 2511295
  120. Thu Sep 21 15:50:20 2023 4 relations: 2354701
  121. Thu Sep 21 15:50:20 2023 5 relations: 2250590
  122. Thu Sep 21 15:50:20 2023 6 relations: 2097057
  123. Thu Sep 21 15:50:20 2023 7 relations: 1955033
  124. Thu Sep 21 15:50:20 2023 8 relations: 1798354
  125. Thu Sep 21 15:50:20 2023 9 relations: 1642401
  126. Thu Sep 21 15:50:20 2023 10+ relations: 9170722
  127. Thu Sep 21 15:50:20 2023 heaviest cycle: 28 relations
  128. Thu Sep 21 15:50:50 2023 RelProcTime: 2642
  129. Thu Sep 21 15:50:50 2023 elapsed time 00:44:02
  130. Thu Sep 21 15:52:01 2023
  131. Thu Sep 21 15:52:01 2023
  132. Thu Sep 21 15:52:01 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  133. Thu Sep 21 15:52:01 2023 random seeds: 94708a17 bda0f133
  134. Thu Sep 21 15:52:01 2023 MPI process 0 of 2
  135. Thu Sep 21 15:52:01 2023 Using 8 OpenMP threads
  136. Thu Sep 21 15:52:01 2023 factoring 3108381563589239783109786882298786636294082513487838872145331662003180966115456926159051549454425897670408166616933752489671915335579333573745984556051090230556123986443049355913306357229626822728893917325027514739575732689386854985036789121 (241 digits)
  137. Thu Sep 21 15:52:02 2023 no P-1/P+1/ECM available, skipping
  138. Thu Sep 21 15:52:02 2023 commencing number field sieve (241-digit input)
  139. Thu Sep 21 15:52:02 2023 R0: 2710505431213761085018632002174854278564453125
  140. Thu Sep 21 15:52:02 2023 R1: -1361129467683753853853498429727072845824
  141. Thu Sep 21 15:52:02 2023 A0: 25
  142. Thu Sep 21 15:52:02 2023 A1: 0
  143. Thu Sep 21 15:52:02 2023 A2: 0
  144. Thu Sep 21 15:52:02 2023 A3: 0
  145. Thu Sep 21 15:52:02 2023 A4: 0
  146. Thu Sep 21 15:52:02 2023 A5: 0
  147. Thu Sep 21 15:52:02 2023 A6: 16
  148. Thu Sep 21 15:52:02 2023 skew 1.08, size 1.270e-13, alpha 1.185, combined = 2.492e-14 rroots = 0
  149. Thu Sep 21 15:52:02 2023
  150. Thu Sep 21 15:52:02 2023 commencing linear algebra
  151. Thu Sep 21 15:52:02 2023 using VBITS=256
  152. Thu Sep 21 15:52:02 2023 initialized process (0,0) of 1 x 2 grid
  153. Thu Sep 21 15:52:03 2023 read 28655269 cycles
  154. Thu Sep 21 15:52:39 2023 cycles contain 98275751 unique relations
  155. Thu Sep 21 15:53:50 2023 read 98275751 relations
  156. Thu Sep 21 15:54:12 2023 using 20 quadratic characters above 4294917295
  157. Thu Sep 21 15:54:47 2023 building initial matrix
  158. Thu Sep 21 16:13:40 2023 memory use: 12304.0 MB
  159. Thu Sep 21 16:14:02 2023 read 28655269 cycles
  160. Thu Sep 21 16:14:07 2023 matrix is 28655092 x 28655269 (12575.2 MB) with weight 3574645537 (124.75/col)
  161. Thu Sep 21 16:14:07 2023 sparse part has weight 2981316929 (104.04/col)
  162. Thu Sep 21 16:20:38 2023 filtering completed in 2 passes
  163. Thu Sep 21 16:20:44 2023 matrix is 28652862 x 28653035 (12575.1 MB) with weight 3574574512 (124.75/col)
  164. Thu Sep 21 16:20:44 2023 sparse part has weight 2981293353 (104.05/col)
  165. Thu Sep 21 16:21:31 2023 matrix starts at (0, 0)
  166. Thu Sep 21 16:21:32 2023 matrix is 28652862 x 14326502 (6287.5 MB) with weight 1787274811 (124.75/col)
  167. Thu Sep 21 16:21:32 2023 sparse part has weight 1490646855 (104.05/col)
  168. Thu Sep 21 16:21:32 2023 saving the first 240 matrix rows for later
  169. Thu Sep 21 16:21:34 2023 matrix includes 256 packed rows
  170. Thu Sep 21 16:21:39 2023 matrix is 28652622 x 14326502 (5877.7 MB) with weight 1375766874 (96.03/col)
  171. Thu Sep 21 16:21:39 2023 sparse part has weight 1311571054 (91.55/col)
  172. Thu Sep 21 16:21:39 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  173. Thu Sep 21 16:21:39 2023 selected card has CUDA arch 8.6
  174. Thu Sep 21 16:22:34 2023 commencing Lanczos iteration
  175. Thu Sep 21 16:22:35 2023 memory use: 14979.7 MB
  176. Thu Sep 21 16:23:27 2023 linear algebra at 0.1%, ETA 12h58m
  177. Thu Sep 21 16:24:44 2023 checking every 30000 dimensions, checkpointing every 2190000 dimensions
  178. Fri Sep 22 05:30:35 2023 lanczos halted after 112262 iterations (dim = 28652621)
  179. Fri Sep 22 05:32:20 2023 recovered 40 nontrivial dependencies
  180. Fri Sep 22 05:32:20 2023 BLanczosTime: 49218
  181. Fri Sep 22 05:32:20 2023 elapsed time 13:40:19
  182. Fri Sep 22 05:32:21 2023
  183. Fri Sep 22 05:32:21 2023
  184. Fri Sep 22 05:32:21 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  185. Fri Sep 22 05:32:21 2023 random seeds: c5cd07c9 07f343f8
  186. Fri Sep 22 05:32:21 2023 Using 16 OpenMP threads
  187. Fri Sep 22 05:32:21 2023 factoring 3108381563589239783109786882298786636294082513487838872145331662003180966115456926159051549454425897670408166616933752489671915335579333573745984556051090230556123986443049355913306357229626822728893917325027514739575732689386854985036789121 (241 digits)
  188. Fri Sep 22 05:32:22 2023 no P-1/P+1/ECM available, skipping
  189. Fri Sep 22 05:32:22 2023 commencing number field sieve (241-digit input)
  190. Fri Sep 22 05:32:22 2023 R0: 2710505431213761085018632002174854278564453125
  191. Fri Sep 22 05:32:22 2023 R1: -1361129467683753853853498429727072845824
  192. Fri Sep 22 05:32:22 2023 A0: 25
  193. Fri Sep 22 05:32:22 2023 A1: 0
  194. Fri Sep 22 05:32:22 2023 A2: 0
  195. Fri Sep 22 05:32:22 2023 A3: 0
  196. Fri Sep 22 05:32:22 2023 A4: 0
  197. Fri Sep 22 05:32:22 2023 A5: 0
  198. Fri Sep 22 05:32:22 2023 A6: 16
  199. Fri Sep 22 05:32:22 2023 skew 1.08, size 1.270e-13, alpha 1.185, combined = 2.492e-14 rroots = 0
  200. Fri Sep 22 05:32:22 2023
  201. Fri Sep 22 05:32:22 2023 commencing square root phase
  202. Fri Sep 22 05:32:22 2023 reading relations for dependency 1
  203. Fri Sep 22 05:32:25 2023 read 14327390 cycles
  204. Fri Sep 22 05:32:57 2023 cycles contain 49150050 unique relations
  205. Fri Sep 22 05:35:32 2023 read 49150050 relations
  206. Fri Sep 22 05:39:36 2023 multiplying 49150050 relations
  207. Fri Sep 22 05:46:27 2023 multiply complete, coefficients have about 1499.61 million bits
  208. Fri Sep 22 05:46:30 2023 initial square root is modulo 5331691
  209. Fri Sep 22 06:00:57 2023 GCD is 1, no factor found
  210. Fri Sep 22 06:00:57 2023 reading relations for dependency 2
  211. Fri Sep 22 06:00:59 2023 read 14323694 cycles
  212. Fri Sep 22 06:01:32 2023 cycles contain 49132064 unique relations
  213. Fri Sep 22 06:03:53 2023 read 49132064 relations
  214. Fri Sep 22 06:08:26 2023 multiplying 49132064 relations
  215. Fri Sep 22 06:15:09 2023 multiply complete, coefficients have about 1499.06 million bits
  216. Fri Sep 22 06:15:12 2023 initial square root is modulo 5301511
  217. Fri Sep 22 06:29:34 2023 GCD is 1, no factor found
  218. Fri Sep 22 06:29:34 2023 reading relations for dependency 3
  219. Fri Sep 22 06:29:36 2023 read 14324315 cycles
  220. Fri Sep 22 06:30:08 2023 cycles contain 49136424 unique relations
  221. Fri Sep 22 06:32:27 2023 read 49136424 relations
  222. Fri Sep 22 06:36:29 2023 multiplying 49136424 relations
  223. Fri Sep 22 06:43:10 2023 multiply complete, coefficients have about 1499.19 million bits
  224. Fri Sep 22 06:43:14 2023 initial square root is modulo 5308579
  225. Fri Sep 22 06:57:27 2023 GCD is 1, no factor found
  226. Fri Sep 22 06:57:27 2023 reading relations for dependency 4
  227. Fri Sep 22 06:57:30 2023 read 14326545 cycles
  228. Fri Sep 22 06:58:02 2023 cycles contain 49139206 unique relations
  229. Fri Sep 22 07:00:20 2023 read 49139206 relations
  230. Fri Sep 22 07:04:54 2023 multiplying 49139206 relations
  231. Fri Sep 22 07:11:35 2023 multiply complete, coefficients have about 1499.27 million bits
  232. Fri Sep 22 07:11:38 2023 initial square root is modulo 5312851
  233. Fri Sep 22 07:25:46 2023 sqrtTime: 6804
  234. Fri Sep 22 07:25:46 2023 p74 factor: 29218657339864995996752911277756037858239545519947585467372011262259021889
  235. Fri Sep 22 07:25:46 2023 p168 factor: 106383449705892679280084870503010152492596113508266246154850317156903412885395427714211443687506406459977618753514499484807329086660408240707854918486648485427761569089
  236. Fri Sep 22 07:25:46 2023 elapsed time 01:53:25
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