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Jul 4th, 2023
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  1. Tue Jul 4 10:36:19 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  2. Tue Jul 4 10:36:19 2023 random seeds: aa292166 3c2a360c
  3. Tue Jul 4 10:36:19 2023 Using 16 OpenMP threads
  4. Tue Jul 4 10:36:19 2023 factoring 29591038739171397790712487365843989339028425122692859069888873966086825459920805826693732527570458442793698135740786358666537895432072133634221912310007049806979041810655978918919221 (182 digits)
  5. Tue Jul 4 10:36:20 2023 no P-1/P+1/ECM available, skipping
  6. Tue Jul 4 10:36:20 2023 commencing number field sieve (182-digit input)
  7. Tue Jul 4 10:36:20 2023 R0: -177822521254616654280250242061231747
  8. Tue Jul 4 10:36:20 2023 R1: 9946420441212918239
  9. Tue Jul 4 10:36:20 2023 A0: 24375751880460071835563893166273086443504840
  10. Tue Jul 4 10:36:20 2023 A1: -193772673517494670768005968148564186
  11. Tue Jul 4 10:36:20 2023 A2: -67091932967429841962896631341
  12. Tue Jul 4 10:36:20 2023 A3: -907807445251913932417
  13. Tue Jul 4 10:36:20 2023 A4: -11157147090349
  14. Tue Jul 4 10:36:20 2023 A5: 166428
  15. Tue Jul 4 10:36:20 2023 skew 55798493.82, size 9.969e-18, alpha -6.535, combined = 7.218e-14 rroots = 3
  16. Tue Jul 4 10:36:20 2023
  17. Tue Jul 4 10:36:20 2023 commencing relation filtering
  18. Tue Jul 4 10:36:20 2023 setting target matrix density to 110.0
  19. Tue Jul 4 10:36:20 2023 estimated available RAM is 64226.6 MB
  20. Tue Jul 4 10:36:20 2023 commencing duplicate removal, pass 1
  21. Tue Jul 4 10:37:04 2023 error -15 reading relation 60990595
  22. Tue Jul 4 10:37:22 2023 error -15 reading relation 85500100
  23. Tue Jul 4 10:38:14 2023 skipped 1 relations with b > 2^32
  24. Tue Jul 4 10:38:14 2023 found 5465775 hash collisions in 156934650 relations
  25. Tue Jul 4 10:38:29 2023 added 121888 free relations
  26. Tue Jul 4 10:38:29 2023 commencing duplicate removal, pass 2
  27. Tue Jul 4 10:38:55 2023 found 0 duplicates and 157056538 unique relations
  28. Tue Jul 4 10:38:55 2023 memory use: 522.4 MB
  29. Tue Jul 4 10:38:55 2023 reading ideals above 720000
  30. Tue Jul 4 10:38:55 2023 commencing singleton removal, initial pass
  31. Tue Jul 4 10:43:32 2023 memory use: 3012.0 MB
  32. Tue Jul 4 10:43:32 2023 reading all ideals from disk
  33. Tue Jul 4 10:43:33 2023 memory use: 7672.9 MB
  34. Tue Jul 4 10:43:40 2023 keeping 137364436 ideals with weight <= 200, target excess is 824351
  35. Tue Jul 4 10:43:48 2023 commencing in-memory singleton removal
  36. Tue Jul 4 10:43:51 2023 begin with 157056538 relations and 137364436 unique ideals
  37. Tue Jul 4 10:44:07 2023 reduce to 134949180 relations and 114546598 ideals in 12 passes
  38. Tue Jul 4 10:44:07 2023 max relations containing the same ideal: 189
  39. Tue Jul 4 10:44:30 2023 removing 10916553 relations and 8916553 ideals in 2000000 cliques
  40. Tue Jul 4 10:44:33 2023 commencing in-memory singleton removal
  41. Tue Jul 4 10:44:35 2023 begin with 124032627 relations and 114546598 unique ideals
  42. Tue Jul 4 10:44:44 2023 reduce to 123311765 relations and 104895471 ideals in 7 passes
  43. Tue Jul 4 10:44:44 2023 max relations containing the same ideal: 181
  44. Tue Jul 4 10:45:05 2023 removing 8457619 relations and 6457619 ideals in 2000000 cliques
  45. Tue Jul 4 10:45:08 2023 commencing in-memory singleton removal
  46. Tue Jul 4 10:45:10 2023 begin with 114854146 relations and 104895471 unique ideals
  47. Tue Jul 4 10:45:18 2023 reduce to 114362297 relations and 97937794 ideals in 8 passes
  48. Tue Jul 4 10:45:18 2023 max relations containing the same ideal: 175
  49. Tue Jul 4 10:45:38 2023 removing 7742849 relations and 5742849 ideals in 2000000 cliques
  50. Tue Jul 4 10:45:41 2023 commencing in-memory singleton removal
  51. Tue Jul 4 10:45:42 2023 begin with 106619448 relations and 97937794 unique ideals
  52. Tue Jul 4 10:45:49 2023 reduce to 106173704 relations and 91741805 ideals in 7 passes
  53. Tue Jul 4 10:45:49 2023 max relations containing the same ideal: 166
  54. Tue Jul 4 10:46:08 2023 removing 7401649 relations and 5401649 ideals in 2000000 cliques
  55. Tue Jul 4 10:46:10 2023 commencing in-memory singleton removal
  56. Tue Jul 4 10:46:12 2023 begin with 98772055 relations and 91741805 unique ideals
  57. Tue Jul 4 10:46:18 2023 reduce to 98335455 relations and 85896025 ideals in 7 passes
  58. Tue Jul 4 10:46:18 2023 max relations containing the same ideal: 156
  59. Tue Jul 4 10:46:36 2023 removing 7217086 relations and 5217086 ideals in 2000000 cliques
  60. Tue Jul 4 10:46:38 2023 commencing in-memory singleton removal
  61. Tue Jul 4 10:46:40 2023 begin with 91118369 relations and 85896025 unique ideals
  62. Tue Jul 4 10:46:46 2023 reduce to 90676596 relations and 80229018 ideals in 7 passes
  63. Tue Jul 4 10:46:46 2023 max relations containing the same ideal: 146
  64. Tue Jul 4 10:47:02 2023 removing 7129828 relations and 5129828 ideals in 2000000 cliques
  65. Tue Jul 4 10:47:04 2023 commencing in-memory singleton removal
  66. Tue Jul 4 10:47:06 2023 begin with 83546768 relations and 80229018 unique ideals
  67. Tue Jul 4 10:47:12 2023 reduce to 83081437 relations and 74625007 ideals in 9 passes
  68. Tue Jul 4 10:47:12 2023 max relations containing the same ideal: 141
  69. Tue Jul 4 10:47:28 2023 removing 7095161 relations and 5095161 ideals in 2000000 cliques
  70. Tue Jul 4 10:47:30 2023 commencing in-memory singleton removal
  71. Tue Jul 4 10:47:31 2023 begin with 75986276 relations and 74625007 unique ideals
  72. Tue Jul 4 10:47:36 2023 reduce to 75486855 relations and 69020010 ideals in 7 passes
  73. Tue Jul 4 10:47:36 2023 max relations containing the same ideal: 134
  74. Tue Jul 4 10:47:50 2023 removing 7119503 relations and 5119503 ideals in 2000000 cliques
  75. Tue Jul 4 10:47:52 2023 commencing in-memory singleton removal
  76. Tue Jul 4 10:47:53 2023 begin with 68367352 relations and 69020010 unique ideals
  77. Tue Jul 4 10:47:58 2023 reduce to 67814127 relations and 63334687 ideals in 7 passes
  78. Tue Jul 4 10:47:58 2023 max relations containing the same ideal: 121
  79. Tue Jul 4 10:48:11 2023 removing 7187405 relations and 5187405 ideals in 2000000 cliques
  80. Tue Jul 4 10:48:13 2023 commencing in-memory singleton removal
  81. Tue Jul 4 10:48:14 2023 begin with 60626722 relations and 63334687 unique ideals
  82. Tue Jul 4 10:48:18 2023 reduce to 60001016 relations and 57505932 ideals in 8 passes
  83. Tue Jul 4 10:48:18 2023 max relations containing the same ideal: 113
  84. Tue Jul 4 10:48:30 2023 removing 5929363 relations and 4390527 ideals in 1538836 cliques
  85. Tue Jul 4 10:48:31 2023 commencing in-memory singleton removal
  86. Tue Jul 4 10:48:32 2023 begin with 54071653 relations and 57505932 unique ideals
  87. Tue Jul 4 10:48:36 2023 reduce to 53594974 relations and 52628223 ideals in 9 passes
  88. Tue Jul 4 10:48:36 2023 max relations containing the same ideal: 106
  89. Tue Jul 4 10:48:47 2023 removing 87269 relations and 76766 ideals in 10503 cliques
  90. Tue Jul 4 10:48:48 2023 commencing in-memory singleton removal
  91. Tue Jul 4 10:48:49 2023 begin with 53507705 relations and 52628223 unique ideals
  92. Tue Jul 4 10:48:52 2023 reduce to 53507638 relations and 52551390 ideals in 6 passes
  93. Tue Jul 4 10:48:52 2023 max relations containing the same ideal: 106
  94. Tue Jul 4 10:48:57 2023 relations with 0 large ideals: 2914
  95. Tue Jul 4 10:48:57 2023 relations with 1 large ideals: 7231
  96. Tue Jul 4 10:48:57 2023 relations with 2 large ideals: 115284
  97. Tue Jul 4 10:48:57 2023 relations with 3 large ideals: 865595
  98. Tue Jul 4 10:48:57 2023 relations with 4 large ideals: 3528555
  99. Tue Jul 4 10:48:57 2023 relations with 5 large ideals: 8726932
  100. Tue Jul 4 10:48:57 2023 relations with 6 large ideals: 13711473
  101. Tue Jul 4 10:48:57 2023 relations with 7+ large ideals: 26549654
  102. Tue Jul 4 10:48:57 2023 commencing 2-way merge
  103. Tue Jul 4 10:49:14 2023 reduce to 35126621 relation sets and 34170373 unique ideals
  104. Tue Jul 4 10:49:14 2023 commencing full merge
  105. Tue Jul 4 10:56:12 2023 memory use: 4194.3 MB
  106. Tue Jul 4 10:56:14 2023 found 16178618 cycles, need 16088573
  107. Tue Jul 4 10:56:17 2023 weight of 16088573 cycles is about 1770277185 (110.03/cycle)
  108. Tue Jul 4 10:56:17 2023 distribution of cycle lengths:
  109. Tue Jul 4 10:56:17 2023 1 relations: 1133623
  110. Tue Jul 4 10:56:17 2023 2 relations: 1270607
  111. Tue Jul 4 10:56:17 2023 3 relations: 1364166
  112. Tue Jul 4 10:56:17 2023 4 relations: 1331913
  113. Tue Jul 4 10:56:17 2023 5 relations: 1314976
  114. Tue Jul 4 10:56:17 2023 6 relations: 1267563
  115. Tue Jul 4 10:56:17 2023 7 relations: 1203336
  116. Tue Jul 4 10:56:17 2023 8 relations: 1118438
  117. Tue Jul 4 10:56:17 2023 9 relations: 1017750
  118. Tue Jul 4 10:56:17 2023 10+ relations: 5066201
  119. Tue Jul 4 10:56:17 2023 heaviest cycle: 27 relations
  120. Tue Jul 4 10:56:20 2023 commencing cycle optimization
  121. Tue Jul 4 10:56:39 2023 start with 122928328 relations
  122. Tue Jul 4 10:58:57 2023 pruned 5139750 relations
  123. Tue Jul 4 10:58:58 2023 memory use: 3469.8 MB
  124. Tue Jul 4 10:58:58 2023 distribution of cycle lengths:
  125. Tue Jul 4 10:58:58 2023 1 relations: 1133623
  126. Tue Jul 4 10:58:58 2023 2 relations: 1306638
  127. Tue Jul 4 10:58:58 2023 3 relations: 1425203
  128. Tue Jul 4 10:58:58 2023 4 relations: 1387903
  129. Tue Jul 4 10:58:58 2023 5 relations: 1377817
  130. Tue Jul 4 10:58:58 2023 6 relations: 1320502
  131. Tue Jul 4 10:58:58 2023 7 relations: 1255543
  132. Tue Jul 4 10:58:58 2023 8 relations: 1158761
  133. Tue Jul 4 10:58:58 2023 9 relations: 1047101
  134. Tue Jul 4 10:58:58 2023 10+ relations: 4675482
  135. Tue Jul 4 10:58:58 2023 heaviest cycle: 27 relations
  136. Tue Jul 4 10:59:13 2023 RelProcTime: 1373
  137. Tue Jul 4 10:59:15 2023 elapsed time 00:22:56
  138. Tue Jul 4 11:00:13 2023
  139. Tue Jul 4 11:00:13 2023
  140. Tue Jul 4 11:00:13 2023 Msieve v. 1.54 (SVN 03e8738 CUDA and MPI)
  141. Tue Jul 4 11:00:13 2023 random seeds: 7e69505e 339ff32d
  142. Tue Jul 4 11:00:13 2023 MPI process 0 of 2
  143. Tue Jul 4 11:00:13 2023 Using 8 OpenMP threads
  144. Tue Jul 4 11:00:13 2023 factoring 29591038739171397790712487365843989339028425122692859069888873966086825459920805826693732527570458442793698135740786358666537895432072133634221912310007049806979041810655978918919221 (182 digits)
  145. Tue Jul 4 11:00:14 2023 no P-1/P+1/ECM available, skipping
  146. Tue Jul 4 11:00:14 2023 commencing number field sieve (182-digit input)
  147. Tue Jul 4 11:00:14 2023 R0: -177822521254616654280250242061231747
  148. Tue Jul 4 11:00:14 2023 R1: 9946420441212918239
  149. Tue Jul 4 11:00:14 2023 A0: 24375751880460071835563893166273086443504840
  150. Tue Jul 4 11:00:14 2023 A1: -193772673517494670768005968148564186
  151. Tue Jul 4 11:00:14 2023 A2: -67091932967429841962896631341
  152. Tue Jul 4 11:00:14 2023 A3: -907807445251913932417
  153. Tue Jul 4 11:00:14 2023 A4: -11157147090349
  154. Tue Jul 4 11:00:14 2023 A5: 166428
  155. Tue Jul 4 11:00:14 2023 skew 55798493.82, size 9.969e-18, alpha -6.535, combined = 7.218e-14 rroots = 3
  156. Tue Jul 4 11:00:14 2023
  157. Tue Jul 4 11:00:14 2023 commencing linear algebra
  158. Tue Jul 4 11:00:14 2023 using VBITS=256
  159. Tue Jul 4 11:00:14 2023 initialized process (0,0) of 1 x 2 grid
  160. Tue Jul 4 11:00:15 2023 read 16088573 cycles
  161. Tue Jul 4 11:00:33 2023 cycles contain 52930636 unique relations
  162. Tue Jul 4 11:01:14 2023 read 52930636 relations
  163. Tue Jul 4 11:01:25 2023 using 20 quadratic characters above 4294917295
  164. Tue Jul 4 11:01:44 2023 building initial matrix
  165. Tue Jul 4 11:07:57 2023 memory use: 7344.5 MB
  166. Tue Jul 4 11:08:04 2023 read 16088573 cycles
  167. Tue Jul 4 11:08:06 2023 matrix is 16088394 x 16088573 (7072.2 MB) with weight 2145116135 (133.33/col)
  168. Tue Jul 4 11:08:06 2023 sparse part has weight 1660882558 (103.23/col)
  169. Tue Jul 4 11:09:37 2023 filtering completed in 2 passes
  170. Tue Jul 4 11:09:40 2023 matrix is 16087379 x 16087558 (7072.1 MB) with weight 2145071602 (133.34/col)
  171. Tue Jul 4 11:09:40 2023 sparse part has weight 1660869968 (103.24/col)
  172. Tue Jul 4 11:10:02 2023 matrix starts at (0, 0)
  173. Tue Jul 4 11:10:03 2023 matrix is 16087379 x 8043747 (3536.1 MB) with weight 1072535186 (133.34/col)
  174. Tue Jul 4 11:10:03 2023 sparse part has weight 830435130 (103.24/col)
  175. Tue Jul 4 11:10:03 2023 saving the first 240 matrix rows for later
  176. Tue Jul 4 11:10:03 2023 matrix includes 256 packed rows
  177. Tue Jul 4 11:10:06 2023 matrix is 16087139 x 8043747 (3229.2 MB) with weight 761416948 (94.66/col)
  178. Tue Jul 4 11:10:06 2023 sparse part has weight 717807658 (89.24/col)
  179. Tue Jul 4 11:10:06 2023 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  180. Tue Jul 4 11:10:06 2023 selected card has CUDA arch 8.6
  181. Tue Jul 4 11:10:35 2023 commencing Lanczos iteration
  182. Tue Jul 4 11:10:36 2023 memory use: 8268.7 MB
  183. Tue Jul 4 11:11:01 2023 linear algebra at 0.2%, ETA 3h38m
  184. Tue Jul 4 11:11:39 2023 checking every 70000 dimensions, checkpointing every 4410000 dimensions
  185. Tue Jul 4 14:48:50 2023 lanczos halted after 63031 iterations (dim = 16087139)
  186. Tue Jul 4 14:49:37 2023 recovered 31 nontrivial dependencies
  187. Tue Jul 4 14:49:38 2023 BLanczosTime: 13764
  188. Tue Jul 4 14:49:38 2023 elapsed time 03:49:25
  189. Tue Jul 4 14:49:38 2023
  190. Tue Jul 4 14:49:38 2023
  191. Tue Jul 4 14:49:38 2023 Msieve v. 1.54 (SVN Nicht versioniertes Verzeichnis)
  192. Tue Jul 4 14:49:38 2023 random seeds: ff24ec73 d30d5f0d
  193. Tue Jul 4 14:49:38 2023 Using 16 OpenMP threads
  194. Tue Jul 4 14:49:38 2023 factoring 29591038739171397790712487365843989339028425122692859069888873966086825459920805826693732527570458442793698135740786358666537895432072133634221912310007049806979041810655978918919221 (182 digits)
  195. Tue Jul 4 14:49:38 2023 no P-1/P+1/ECM available, skipping
  196. Tue Jul 4 14:49:38 2023 commencing number field sieve (182-digit input)
  197. Tue Jul 4 14:49:38 2023 R0: -177822521254616654280250242061231747
  198. Tue Jul 4 14:49:38 2023 R1: 9946420441212918239
  199. Tue Jul 4 14:49:38 2023 A0: 24375751880460071835563893166273086443504840
  200. Tue Jul 4 14:49:38 2023 A1: -193772673517494670768005968148564186
  201. Tue Jul 4 14:49:38 2023 A2: -67091932967429841962896631341
  202. Tue Jul 4 14:49:38 2023 A3: -907807445251913932417
  203. Tue Jul 4 14:49:38 2023 A4: -11157147090349
  204. Tue Jul 4 14:49:38 2023 A5: 166428
  205. Tue Jul 4 14:49:38 2023 skew 55798493.82, size 9.969e-18, alpha -6.535, combined = 7.218e-14 rroots = 3
  206. Tue Jul 4 14:49:38 2023
  207. Tue Jul 4 14:49:38 2023 commencing square root phase
  208. Tue Jul 4 14:49:38 2023 reading relations for dependency 1
  209. Tue Jul 4 14:49:39 2023 read 8042765 cycles
  210. Tue Jul 4 14:49:48 2023 cycles contain 26467772 unique relations
  211. Tue Jul 4 14:50:05 2023 read 26467772 relations
  212. Tue Jul 4 14:51:14 2023 multiplying 26467772 relations
  213. Tue Jul 4 14:58:53 2023 multiply complete, coefficients have about 1499.15 million bits
  214. Tue Jul 4 14:58:55 2023 initial square root is modulo 5306311
  215. Tue Jul 4 15:04:16 2023 sqrtTime: 878
  216. Tue Jul 4 15:04:16 2023 p61 factor: 4047861899159554316755040457608972506157910062914652551875101
  217. Tue Jul 4 15:04:16 2023 p121 factor: 7310288610714535072666958046628517184569213668378502091948867566203946127977832057709438097045047419620200407684258832121
  218. Tue Jul 4 15:04:16 2023 elapsed time 00:14:38
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