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C177_1488_1622

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Sep 13th, 2023
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  1. Wed Sep 13 14:23:43 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Wed Sep 13 14:23:43 2023 random seeds: 8da97e15 fe8405d7
  3. Wed Sep 13 14:23:43 2023 Using 16 OpenMP threads
  4. Wed Sep 13 14:23:43 2023 factoring 891775454819759491597812434358484626148129965010919847371285100185561588589631920098893731022718003337818639191012116329866473383096937912462928649560396066301177950561719171467 (177 digits)
  5. Wed Sep 13 14:23:43 2023 no P-1/P+1/ECM available, skipping
  6. Wed Sep 13 14:23:43 2023 commencing number field sieve (177-digit input)
  7. Wed Sep 13 14:23:43 2023 R0: -11854486132883906160021290903176295
  8. Wed Sep 13 14:23:43 2023 R1: 71502672544824173926519
  9. Wed Sep 13 14:23:43 2023 A0: -32273195692566807281754680254903088549696
  10. Wed Sep 13 14:23:43 2023 A1: 16262037972279264624998032254869264
  11. Wed Sep 13 14:23:43 2023 A2: -27566184332430835801960574518
  12. Wed Sep 13 14:23:43 2023 A3: -639146368174290776639
  13. Wed Sep 13 14:23:43 2023 A4: 264018795605904
  14. Wed Sep 13 14:23:43 2023 A5: 11426220
  15. Wed Sep 13 14:23:43 2023 skew 10562860.79, size 2.992e-17, alpha -7.280, combined = 1.399e-13 rroots = 3
  16. Wed Sep 13 14:23:43 2023
  17. Wed Sep 13 14:23:43 2023 commencing relation filtering
  18. Wed Sep 13 14:23:43 2023 setting target matrix density to 110.0
  19. Wed Sep 13 14:23:43 2023 estimated available RAM is 128734.9 MB
  20. Wed Sep 13 14:23:43 2023 commencing duplicate removal, pass 1
  21. Wed Sep 13 14:26:21 2023 found 9545134 hash collisions in 209085753 relations
  22. Wed Sep 13 14:26:36 2023 added 121514 free relations
  23. Wed Sep 13 14:26:36 2023 commencing duplicate removal, pass 2
  24. Wed Sep 13 14:27:16 2023 found 0 duplicates and 209207267 unique relations
  25. Wed Sep 13 14:27:16 2023 memory use: 554.4 MB
  26. Wed Sep 13 14:27:17 2023 reading ideals above 720000
  27. Wed Sep 13 14:27:17 2023 commencing singleton removal, initial pass
  28. Wed Sep 13 14:33:34 2023 memory use: 5512.0 MB
  29. Wed Sep 13 14:33:34 2023 reading all ideals from disk
  30. Wed Sep 13 14:33:35 2023 memory use: 10011.2 MB
  31. Wed Sep 13 14:33:44 2023 keeping 192898345 ideals with weight <= 200, target excess is 1074838
  32. Wed Sep 13 14:33:55 2023 commencing in-memory singleton removal
  33. Wed Sep 13 14:33:58 2023 begin with 209207267 relations and 192898345 unique ideals
  34. Wed Sep 13 14:34:23 2023 reduce to 153862962 relations and 134660505 ideals in 17 passes
  35. Wed Sep 13 14:34:23 2023 max relations containing the same ideal: 174
  36. Wed Sep 13 14:34:51 2023 removing 14456341 relations and 12456341 ideals in 2000000 cliques
  37. Wed Sep 13 14:34:55 2023 commencing in-memory singleton removal
  38. Wed Sep 13 14:34:57 2023 begin with 139406621 relations and 134660505 unique ideals
  39. Wed Sep 13 14:35:09 2023 reduce to 138337004 relations and 121116034 ideals in 10 passes
  40. Wed Sep 13 14:35:09 2023 max relations containing the same ideal: 165
  41. Wed Sep 13 14:35:35 2023 removing 10892678 relations and 8892678 ideals in 2000000 cliques
  42. Wed Sep 13 14:35:38 2023 commencing in-memory singleton removal
  43. Wed Sep 13 14:35:40 2023 begin with 127444326 relations and 121116034 unique ideals
  44. Wed Sep 13 14:35:49 2023 reduce to 126738785 relations and 111507371 ideals in 9 passes
  45. Wed Sep 13 14:35:49 2023 max relations containing the same ideal: 151
  46. Wed Sep 13 14:36:14 2023 removing 9813208 relations and 7813208 ideals in 2000000 cliques
  47. Wed Sep 13 14:36:16 2023 commencing in-memory singleton removal
  48. Wed Sep 13 14:36:18 2023 begin with 116925577 relations and 111507371 unique ideals
  49. Wed Sep 13 14:36:27 2023 reduce to 116294464 relations and 103053573 ideals in 9 passes
  50. Wed Sep 13 14:36:27 2023 max relations containing the same ideal: 143
  51. Wed Sep 13 14:36:49 2023 removing 9265711 relations and 7265711 ideals in 2000000 cliques
  52. Wed Sep 13 14:36:52 2023 commencing in-memory singleton removal
  53. Wed Sep 13 14:36:54 2023 begin with 107028753 relations and 103053573 unique ideals
  54. Wed Sep 13 14:37:01 2023 reduce to 106412635 relations and 95162033 ideals in 8 passes
  55. Wed Sep 13 14:37:01 2023 max relations containing the same ideal: 136
  56. Wed Sep 13 14:37:21 2023 removing 8946685 relations and 6946685 ideals in 2000000 cliques
  57. Wed Sep 13 14:37:24 2023 commencing in-memory singleton removal
  58. Wed Sep 13 14:37:25 2023 begin with 97465950 relations and 95162033 unique ideals
  59. Wed Sep 13 14:37:32 2023 reduce to 96839840 relations and 87578682 ideals in 9 passes
  60. Wed Sep 13 14:37:32 2023 max relations containing the same ideal: 126
  61. Wed Sep 13 14:37:51 2023 removing 8768281 relations and 6768281 ideals in 2000000 cliques
  62. Wed Sep 13 14:37:54 2023 commencing in-memory singleton removal
  63. Wed Sep 13 14:37:55 2023 begin with 88071559 relations and 87578682 unique ideals
  64. Wed Sep 13 14:38:01 2023 reduce to 87408557 relations and 80135415 ideals in 9 passes
  65. Wed Sep 13 14:38:01 2023 max relations containing the same ideal: 116
  66. Wed Sep 13 14:38:19 2023 removing 8677453 relations and 6677454 ideals in 2000000 cliques
  67. Wed Sep 13 14:38:21 2023 commencing in-memory singleton removal
  68. Wed Sep 13 14:38:22 2023 begin with 78731104 relations and 80135415 unique ideals
  69. Wed Sep 13 14:38:27 2023 reduce to 78002454 relations and 72714566 ideals in 8 passes
  70. Wed Sep 13 14:38:27 2023 max relations containing the same ideal: 111
  71. Wed Sep 13 14:38:43 2023 removing 8676123 relations and 6676123 ideals in 2000000 cliques
  72. Wed Sep 13 14:38:45 2023 commencing in-memory singleton removal
  73. Wed Sep 13 14:38:46 2023 begin with 69326331 relations and 72714566 unique ideals
  74. Wed Sep 13 14:38:51 2023 reduce to 68495786 relations and 65189299 ideals in 9 passes
  75. Wed Sep 13 14:38:51 2023 max relations containing the same ideal: 100
  76. Wed Sep 13 14:39:05 2023 removing 8767969 relations and 6767969 ideals in 2000000 cliques
  77. Wed Sep 13 14:39:07 2023 commencing in-memory singleton removal
  78. Wed Sep 13 14:39:08 2023 begin with 59727817 relations and 65189299 unique ideals
  79. Wed Sep 13 14:39:13 2023 reduce to 58728891 relations and 57397317 ideals in 12 passes
  80. Wed Sep 13 14:39:13 2023 max relations containing the same ideal: 88
  81. Wed Sep 13 14:39:26 2023 removing 710617 relations and 625856 ideals in 84761 cliques
  82. Wed Sep 13 14:39:27 2023 commencing in-memory singleton removal
  83. Wed Sep 13 14:39:28 2023 begin with 58018274 relations and 57397317 unique ideals
  84. Wed Sep 13 14:39:31 2023 reduce to 58012367 relations and 56765548 ideals in 6 passes
  85. Wed Sep 13 14:39:31 2023 max relations containing the same ideal: 88
  86. Wed Sep 13 14:39:36 2023 relations with 0 large ideals: 3667
  87. Wed Sep 13 14:39:36 2023 relations with 1 large ideals: 16987
  88. Wed Sep 13 14:39:36 2023 relations with 2 large ideals: 256524
  89. Wed Sep 13 14:39:36 2023 relations with 3 large ideals: 1699783
  90. Wed Sep 13 14:39:36 2023 relations with 4 large ideals: 6054481
  91. Wed Sep 13 14:39:36 2023 relations with 5 large ideals: 12729323
  92. Wed Sep 13 14:39:36 2023 relations with 6 large ideals: 16401601
  93. Wed Sep 13 14:39:36 2023 relations with 7+ large ideals: 20850001
  94. Wed Sep 13 14:39:36 2023 commencing 2-way merge
  95. Wed Sep 13 14:39:54 2023 reduce to 34686196 relation sets and 33439377 unique ideals
  96. Wed Sep 13 14:39:54 2023 commencing full merge
  97. Wed Sep 13 14:45:52 2023 memory use: 3649.1 MB
  98. Wed Sep 13 14:45:54 2023 found 15565822 cycles, need 15447577
  99. Wed Sep 13 14:45:57 2023 weight of 15447577 cycles is about 1699358620 (110.01/cycle)
  100. Wed Sep 13 14:45:57 2023 distribution of cycle lengths:
  101. Wed Sep 13 14:45:57 2023 1 relations: 1218453
  102. Wed Sep 13 14:45:57 2023 2 relations: 1188342
  103. Wed Sep 13 14:45:57 2023 3 relations: 1251539
  104. Wed Sep 13 14:45:57 2023 4 relations: 1243542
  105. Wed Sep 13 14:45:57 2023 5 relations: 1241302
  106. Wed Sep 13 14:45:57 2023 6 relations: 1153949
  107. Wed Sep 13 14:45:57 2023 7 relations: 1118437
  108. Wed Sep 13 14:45:57 2023 8 relations: 1029079
  109. Wed Sep 13 14:45:57 2023 9 relations: 937475
  110. Wed Sep 13 14:45:57 2023 10+ relations: 5065459
  111. Wed Sep 13 14:45:57 2023 heaviest cycle: 28 relations
  112. Wed Sep 13 14:45:59 2023 commencing cycle optimization
  113. Wed Sep 13 14:46:18 2023 start with 120275345 relations
  114. Wed Sep 13 14:48:28 2023 pruned 3777577 relations
  115. Wed Sep 13 14:48:28 2023 memory use: 3596.0 MB
  116. Wed Sep 13 14:48:28 2023 distribution of cycle lengths:
  117. Wed Sep 13 14:48:28 2023 1 relations: 1218453
  118. Wed Sep 13 14:48:28 2023 2 relations: 1218328
  119. Wed Sep 13 14:48:28 2023 3 relations: 1298383
  120. Wed Sep 13 14:48:28 2023 4 relations: 1284173
  121. Wed Sep 13 14:48:28 2023 5 relations: 1283355
  122. Wed Sep 13 14:48:28 2023 6 relations: 1191255
  123. Wed Sep 13 14:48:28 2023 7 relations: 1151502
  124. Wed Sep 13 14:48:28 2023 8 relations: 1052583
  125. Wed Sep 13 14:48:28 2023 9 relations: 956393
  126. Wed Sep 13 14:48:28 2023 10+ relations: 4793152
  127. Wed Sep 13 14:48:28 2023 heaviest cycle: 27 relations
  128. Wed Sep 13 14:48:44 2023 RelProcTime: 1501
  129. Wed Sep 13 14:48:46 2023 elapsed time 00:25:03
  130. Wed Sep 13 14:49:45 2023
  131. Wed Sep 13 14:49:45 2023
  132. Wed Sep 13 14:49:45 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  133. Wed Sep 13 14:49:45 2023 random seeds: f6f019b6 12f4110c
  134. Wed Sep 13 14:49:45 2023 MPI process 0 of 2
  135. Wed Sep 13 14:49:45 2023 Using 8 OpenMP threads
  136. Wed Sep 13 14:49:45 2023 factoring 891775454819759491597812434358484626148129965010919847371285100185561588589631920098893731022718003337818639191012116329866473383096937912462928649560396066301177950561719171467 (177 digits)
  137. Wed Sep 13 14:49:45 2023 no P-1/P+1/ECM available, skipping
  138. Wed Sep 13 14:49:45 2023 commencing number field sieve (177-digit input)
  139. Wed Sep 13 14:49:45 2023 R0: -11854486132883906160021290903176295
  140. Wed Sep 13 14:49:45 2023 R1: 71502672544824173926519
  141. Wed Sep 13 14:49:45 2023 A0: -32273195692566807281754680254903088549696
  142. Wed Sep 13 14:49:45 2023 A1: 16262037972279264624998032254869264
  143. Wed Sep 13 14:49:45 2023 A2: -27566184332430835801960574518
  144. Wed Sep 13 14:49:45 2023 A3: -639146368174290776639
  145. Wed Sep 13 14:49:45 2023 A4: 264018795605904
  146. Wed Sep 13 14:49:45 2023 A5: 11426220
  147. Wed Sep 13 14:49:45 2023 skew 10562860.79, size 2.992e-17, alpha -7.280, combined = 1.399e-13 rroots = 3
  148. Wed Sep 13 14:49:45 2023
  149. Wed Sep 13 14:49:45 2023 commencing linear algebra
  150. Wed Sep 13 14:49:45 2023 using VBITS=256
  151. Wed Sep 13 14:49:45 2023 initialized process (0,0) of 1 x 2 grid
  152. Wed Sep 13 14:49:46 2023 read 15447577 cycles
  153. Wed Sep 13 14:50:05 2023 cycles contain 57084021 unique relations
  154. Wed Sep 13 14:50:55 2023 read 57084021 relations
  155. Wed Sep 13 14:51:06 2023 using 20 quadratic characters above 4294917295
  156. Wed Sep 13 14:51:27 2023 building initial matrix
  157. Wed Sep 13 14:57:46 2023 memory use: 7823.0 MB
  158. Wed Sep 13 14:57:52 2023 read 15447577 cycles
  159. Wed Sep 13 14:57:55 2023 matrix is 15447398 x 15447577 (6841.0 MB) with weight 2094828231 (135.61/col)
  160. Wed Sep 13 14:57:55 2023 sparse part has weight 1607958570 (104.09/col)
  161. Wed Sep 13 14:59:38 2023 filtering completed in 2 passes
  162. Wed Sep 13 14:59:40 2023 matrix is 15443428 x 15443606 (6840.6 MB) with weight 2094645187 (135.63/col)
  163. Wed Sep 13 14:59:40 2023 sparse part has weight 1607906949 (104.11/col)
  164. Wed Sep 13 15:00:03 2023 matrix starts at (0, 0)
  165. Wed Sep 13 15:00:04 2023 matrix is 15443428 x 7721824 (3420.3 MB) with weight 1047323703 (135.63/col)
  166. Wed Sep 13 15:00:04 2023 sparse part has weight 803953590 (104.11/col)
  167. Wed Sep 13 15:00:04 2023 saving the first 240 matrix rows for later
  168. Wed Sep 13 15:00:04 2023 matrix includes 256 packed rows
  169. Wed Sep 13 15:00:07 2023 matrix is 15443188 x 7721824 (3113.3 MB) with weight 738797115 (95.68/col)
  170. Wed Sep 13 15:00:07 2023 sparse part has weight 692572241 (89.69/col)
  171. Wed Sep 13 15:00:07 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  172. Wed Sep 13 15:00:07 2023 selected card has CUDA arch 8.6
  173. Wed Sep 13 15:00:34 2023 commencing Lanczos iteration
  174. Wed Sep 13 15:00:35 2023 memory use: 7964.4 MB
  175. Wed Sep 13 15:01:01 2023 linear algebra at 0.2%, ETA 3h38m
  176. Wed Sep 13 15:01:39 2023 checking every 70000 dimensions, checkpointing every 4340000 dimensions
  177. Wed Sep 13 18:32:10 2023 lanczos halted after 60506 iterations (dim = 15443188)
  178. Wed Sep 13 18:32:50 2023 recovered 31 nontrivial dependencies
  179. Wed Sep 13 18:32:50 2023 BLanczosTime: 13385
  180. Wed Sep 13 18:32:50 2023 elapsed time 03:43:05
  181. Wed Sep 13 18:32:50 2023
  182. Wed Sep 13 18:32:50 2023
  183. Wed Sep 13 18:32:50 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  184. Wed Sep 13 18:32:50 2023 random seeds: ff17b266 c11f0a94
  185. Wed Sep 13 18:32:50 2023 Using 16 OpenMP threads
  186. Wed Sep 13 18:32:50 2023 factoring 891775454819759491597812434358484626148129965010919847371285100185561588589631920098893731022718003337818639191012116329866473383096937912462928649560396066301177950561719171467 (177 digits)
  187. Wed Sep 13 18:32:51 2023 no P-1/P+1/ECM available, skipping
  188. Wed Sep 13 18:32:51 2023 commencing number field sieve (177-digit input)
  189. Wed Sep 13 18:32:51 2023 R0: -11854486132883906160021290903176295
  190. Wed Sep 13 18:32:51 2023 R1: 71502672544824173926519
  191. Wed Sep 13 18:32:51 2023 A0: -32273195692566807281754680254903088549696
  192. Wed Sep 13 18:32:51 2023 A1: 16262037972279264624998032254869264
  193. Wed Sep 13 18:32:51 2023 A2: -27566184332430835801960574518
  194. Wed Sep 13 18:32:51 2023 A3: -639146368174290776639
  195. Wed Sep 13 18:32:51 2023 A4: 264018795605904
  196. Wed Sep 13 18:32:51 2023 A5: 11426220
  197. Wed Sep 13 18:32:51 2023 skew 10562860.79, size 2.992e-17, alpha -7.280, combined = 1.399e-13 rroots = 3
  198. Wed Sep 13 18:32:51 2023
  199. Wed Sep 13 18:32:51 2023 commencing square root phase
  200. Wed Sep 13 18:32:51 2023 reading relations for dependency 1
  201. Wed Sep 13 18:32:51 2023 read 7722071 cycles
  202. Wed Sep 13 18:33:01 2023 cycles contain 28544528 unique relations
  203. Wed Sep 13 18:33:21 2023 read 28544528 relations
  204. Wed Sep 13 18:34:34 2023 multiplying 28544528 relations
  205. Wed Sep 13 18:38:00 2023 multiply complete, coefficients have about 1730.13 million bits
  206. Wed Sep 13 18:38:03 2023 initial square root is modulo 57659149
  207. Wed Sep 13 18:44:26 2023 sqrtTime: 695
  208. Wed Sep 13 18:44:26 2023 p59 factor: 17895415036178656493943968354956614650212401508823727852943
  209. Wed Sep 13 18:44:26 2023 p119 factor: 49832622099955892302636595909243927623243589032700628357003375659940465350577346250739743801861054200230614388375948869
  210. Wed Sep 13 18:44:26 2023 elapsed time 00:11:36
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