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Oct 4th, 2024
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  1. Fri Oct 4 09:21:28 2024
  2. Fri Oct 4 09:21:28 2024
  3. Fri Oct 4 09:21:28 2024 Msieve v. 1.54 (SVN Unversioned directory)
  4. Fri Oct 4 09:21:28 2024 random seeds: baa83736 bc862160
  5. Fri Oct 4 09:21:28 2024 factoring 276195119452195976052573582157232856510905875576492528012012109650278131581859977580282790076798776708173029154605893621716841807342242926697355014322943196503786984201429202319895004169441218203171 (198 digits)
  6. Fri Oct 4 09:21:29 2024 no P-1/P+1/ECM available, skipping
  7. Fri Oct 4 09:21:29 2024 commencing number field sieve (198-digit input)
  8. Fri Oct 4 09:21:29 2024 R0: 10747631689102194303074403711969145922
  9. Fri Oct 4 09:21:29 2024 R1: -3278358078230960161
  10. Fri Oct 4 09:21:29 2024 A0: -1
  11. Fri Oct 4 09:21:29 2024 A1: 3
  12. Fri Oct 4 09:21:29 2024 A2: 6
  13. Fri Oct 4 09:21:29 2024 A3: -4
  14. Fri Oct 4 09:21:29 2024 A4: -5
  15. Fri Oct 4 09:21:29 2024 A5: 1
  16. Fri Oct 4 09:21:29 2024 A6: 1
  17. Fri Oct 4 09:21:29 2024 skew 1.00, size 5.921e-11, alpha 3.126, combined = 2.261e-12 rroots = 6
  18. Fri Oct 4 09:21:29 2024
  19. Fri Oct 4 09:21:29 2024 commencing relation filtering
  20. Fri Oct 4 09:21:29 2024 setting target matrix density to 112.0
  21. Fri Oct 4 09:21:29 2024 estimated available RAM is 15960.0 MB
  22. Fri Oct 4 09:21:29 2024 commencing duplicate removal, pass 1
  23. Fri Oct 4 09:34:46 2024 skipped 7 relations with b > 2^32
  24. Fri Oct 4 09:34:46 2024 found 5094977 hash collisions in 108150594 relations
  25. Fri Oct 4 09:34:53 2024 added 2438358 free relations
  26. Fri Oct 4 09:34:53 2024 commencing duplicate removal, pass 2
  27. Fri Oct 4 09:35:20 2024 found 0 duplicates and 110588952 unique relations
  28. Fri Oct 4 09:35:20 2024 memory use: 378.4 MB
  29. Fri Oct 4 09:35:20 2024 reading ideals above 59965440
  30. Fri Oct 4 09:35:20 2024 commencing singleton removal, initial pass
  31. Fri Oct 4 09:45:28 2024 memory use: 2756.0 MB
  32. Fri Oct 4 09:45:28 2024 reading all ideals from disk
  33. Fri Oct 4 09:45:31 2024 memory use: 1952.3 MB
  34. Fri Oct 4 09:45:35 2024 commencing in-memory singleton removal
  35. Fri Oct 4 09:45:38 2024 begin with 110588952 relations and 84969342 unique ideals
  36. Fri Oct 4 09:46:08 2024 reduce to 79172569 relations and 50852837 ideals in 11 passes
  37. Fri Oct 4 09:46:08 2024 max relations containing the same ideal: 57
  38. Fri Oct 4 09:46:11 2024 reading ideals above 720000
  39. Fri Oct 4 09:46:12 2024 commencing singleton removal, initial pass
  40. Fri Oct 4 09:55:15 2024 memory use: 1506.0 MB
  41. Fri Oct 4 09:55:15 2024 reading all ideals from disk
  42. Fri Oct 4 09:55:22 2024 memory use: 2925.9 MB
  43. Fri Oct 4 09:55:28 2024 keeping 57571986 ideals with weight <= 200, target excess is 401049
  44. Fri Oct 4 09:55:35 2024 commencing in-memory singleton removal
  45. Fri Oct 4 09:55:41 2024 begin with 79172571 relations and 57571986 unique ideals
  46. Fri Oct 4 09:55:51 2024 reduce to 79172569 relations and 57571982 ideals in 2 passes
  47. Fri Oct 4 09:55:51 2024 max relations containing the same ideal: 200
  48. Fri Oct 4 09:56:19 2024 removing 7642736 relations and 5642736 ideals in 2000000 cliques
  49. Fri Oct 4 09:56:21 2024 commencing in-memory singleton removal
  50. Fri Oct 4 09:56:26 2024 begin with 71529833 relations and 57571982 unique ideals
  51. Fri Oct 4 09:56:57 2024 reduce to 70910605 relations and 51290841 ideals in 7 passes
  52. Fri Oct 4 09:56:57 2024 max relations containing the same ideal: 196
  53. Fri Oct 4 09:57:21 2024 removing 6252249 relations and 4252249 ideals in 2000000 cliques
  54. Fri Oct 4 09:57:24 2024 commencing in-memory singleton removal
  55. Fri Oct 4 09:57:28 2024 begin with 64658356 relations and 51290841 unique ideals
  56. Fri Oct 4 09:57:54 2024 reduce to 64230594 relations and 46598577 ideals in 7 passes
  57. Fri Oct 4 09:57:54 2024 max relations containing the same ideal: 186
  58. Fri Oct 4 09:58:16 2024 removing 5820185 relations and 3820185 ideals in 2000000 cliques
  59. Fri Oct 4 09:58:18 2024 commencing in-memory singleton removal
  60. Fri Oct 4 09:58:22 2024 begin with 58410409 relations and 46598577 unique ideals
  61. Fri Oct 4 09:58:41 2024 reduce to 58033004 relations and 42389949 ideals in 6 passes
  62. Fri Oct 4 09:58:41 2024 max relations containing the same ideal: 175
  63. Fri Oct 4 09:59:00 2024 removing 5595227 relations and 3595227 ideals in 2000000 cliques
  64. Fri Oct 4 09:59:03 2024 commencing in-memory singleton removal
  65. Fri Oct 4 09:59:06 2024 begin with 52437777 relations and 42389949 unique ideals
  66. Fri Oct 4 09:59:23 2024 reduce to 52076357 relations and 38421839 ideals in 6 passes
  67. Fri Oct 4 09:59:23 2024 max relations containing the same ideal: 162
  68. Fri Oct 4 09:59:40 2024 removing 5462756 relations and 3462756 ideals in 2000000 cliques
  69. Fri Oct 4 09:59:43 2024 commencing in-memory singleton removal
  70. Fri Oct 4 09:59:45 2024 begin with 46613601 relations and 38421839 unique ideals
  71. Fri Oct 4 10:00:01 2024 reduce to 46250132 relations and 34583315 ideals in 6 passes
  72. Fri Oct 4 10:00:01 2024 max relations containing the same ideal: 151
  73. Fri Oct 4 10:00:16 2024 removing 5375979 relations and 3375979 ideals in 2000000 cliques
  74. Fri Oct 4 10:00:18 2024 commencing in-memory singleton removal
  75. Fri Oct 4 10:00:20 2024 begin with 40874153 relations and 34583315 unique ideals
  76. Fri Oct 4 10:00:35 2024 reduce to 40497105 relations and 30816109 ideals in 7 passes
  77. Fri Oct 4 10:00:35 2024 max relations containing the same ideal: 137
  78. Fri Oct 4 10:00:48 2024 removing 5314843 relations and 3314843 ideals in 2000000 cliques
  79. Fri Oct 4 10:00:50 2024 commencing in-memory singleton removal
  80. Fri Oct 4 10:00:52 2024 begin with 35182262 relations and 30816109 unique ideals
  81. Fri Oct 4 10:01:03 2024 reduce to 34777544 relations and 27079278 ideals in 6 passes
  82. Fri Oct 4 10:01:03 2024 max relations containing the same ideal: 123
  83. Fri Oct 4 10:01:14 2024 removing 5277022 relations and 3277022 ideals in 2000000 cliques
  84. Fri Oct 4 10:01:16 2024 commencing in-memory singleton removal
  85. Fri Oct 4 10:01:18 2024 begin with 29500522 relations and 27079278 unique ideals
  86. Fri Oct 4 10:01:27 2024 reduce to 29051297 relations and 23331664 ideals in 6 passes
  87. Fri Oct 4 10:01:27 2024 max relations containing the same ideal: 108
  88. Fri Oct 4 10:01:36 2024 removing 5250143 relations and 3250143 ideals in 2000000 cliques
  89. Fri Oct 4 10:01:38 2024 commencing in-memory singleton removal
  90. Fri Oct 4 10:01:39 2024 begin with 23801154 relations and 23331664 unique ideals
  91. Fri Oct 4 10:01:47 2024 reduce to 23285391 relations and 19536151 ideals in 7 passes
  92. Fri Oct 4 10:01:47 2024 max relations containing the same ideal: 94
  93. Fri Oct 4 10:01:55 2024 removing 5227619 relations and 3227619 ideals in 2000000 cliques
  94. Fri Oct 4 10:01:56 2024 commencing in-memory singleton removal
  95. Fri Oct 4 10:01:57 2024 begin with 18057772 relations and 19536151 unique ideals
  96. Fri Oct 4 10:02:04 2024 reduce to 17438028 relations and 15644926 ideals in 8 passes
  97. Fri Oct 4 10:02:04 2024 max relations containing the same ideal: 76
  98. Fri Oct 4 10:02:09 2024 removing 3658094 relations and 2330209 ideals in 1327885 cliques
  99. Fri Oct 4 10:02:11 2024 commencing in-memory singleton removal
  100. Fri Oct 4 10:02:11 2024 begin with 13779934 relations and 15644926 unique ideals
  101. Fri Oct 4 10:02:16 2024 reduce to 13291568 relations and 12792927 ideals in 8 passes
  102. Fri Oct 4 10:02:16 2024 max relations containing the same ideal: 60
  103. Fri Oct 4 10:02:21 2024 removing 178286 relations and 144862 ideals in 33424 cliques
  104. Fri Oct 4 10:02:21 2024 commencing in-memory singleton removal
  105. Fri Oct 4 10:02:22 2024 begin with 13113282 relations and 12792927 unique ideals
  106. Fri Oct 4 10:02:25 2024 reduce to 13110829 relations and 12645604 ideals in 5 passes
  107. Fri Oct 4 10:02:25 2024 max relations containing the same ideal: 60
  108. Fri Oct 4 10:02:27 2024 relations with 0 large ideals: 29926
  109. Fri Oct 4 10:02:27 2024 relations with 1 large ideals: 8992
  110. Fri Oct 4 10:02:27 2024 relations with 2 large ideals: 84161
  111. Fri Oct 4 10:02:27 2024 relations with 3 large ideals: 504923
  112. Fri Oct 4 10:02:27 2024 relations with 4 large ideals: 1609451
  113. Fri Oct 4 10:02:27 2024 relations with 5 large ideals: 2996981
  114. Fri Oct 4 10:02:27 2024 relations with 6 large ideals: 3443237
  115. Fri Oct 4 10:02:27 2024 relations with 7+ large ideals: 4433158
  116. Fri Oct 4 10:02:27 2024 commencing 2-way merge
  117. Fri Oct 4 10:02:33 2024 reduce to 9079002 relation sets and 8613777 unique ideals
  118. Fri Oct 4 10:02:33 2024 commencing full merge
  119. Fri Oct 4 10:05:17 2024 memory use: 1191.4 MB
  120. Fri Oct 4 10:05:18 2024 found 4162551 cycles, need 4141977
  121. Fri Oct 4 10:05:19 2024 weight of 4141977 cycles is about 464588178 (112.17/cycle)
  122. Fri Oct 4 10:05:19 2024 distribution of cycle lengths:
  123. Fri Oct 4 10:05:19 2024 1 relations: 143404
  124. Fri Oct 4 10:05:19 2024 2 relations: 224945
  125. Fri Oct 4 10:05:19 2024 3 relations: 289050
  126. Fri Oct 4 10:05:19 2024 4 relations: 314577
  127. Fri Oct 4 10:05:19 2024 5 relations: 330977
  128. Fri Oct 4 10:05:19 2024 6 relations: 332452
  129. Fri Oct 4 10:05:19 2024 7 relations: 323806
  130. Fri Oct 4 10:05:19 2024 8 relations: 305798
  131. Fri Oct 4 10:05:19 2024 9 relations: 279217
  132. Fri Oct 4 10:05:19 2024 10+ relations: 1597751
  133. Fri Oct 4 10:05:19 2024 heaviest cycle: 28 relations
  134. Fri Oct 4 10:05:20 2024 commencing cycle optimization
  135. Fri Oct 4 10:05:27 2024 start with 36561372 relations
  136. Fri Oct 4 10:06:33 2024 pruned 1907608 relations
  137. Fri Oct 4 10:06:33 2024 memory use: 922.9 MB
  138. Fri Oct 4 10:06:33 2024 distribution of cycle lengths:
  139. Fri Oct 4 10:06:33 2024 1 relations: 143404
  140. Fri Oct 4 10:06:33 2024 2 relations: 230398
  141. Fri Oct 4 10:06:33 2024 3 relations: 301402
  142. Fri Oct 4 10:06:33 2024 4 relations: 329236
  143. Fri Oct 4 10:06:33 2024 5 relations: 350476
  144. Fri Oct 4 10:06:33 2024 6 relations: 351567
  145. Fri Oct 4 10:06:33 2024 7 relations: 344136
  146. Fri Oct 4 10:06:33 2024 8 relations: 322877
  147. Fri Oct 4 10:06:33 2024 9 relations: 293965
  148. Fri Oct 4 10:06:33 2024 10+ relations: 1474516
  149. Fri Oct 4 10:06:33 2024 heaviest cycle: 28 relations
  150. Fri Oct 4 10:06:39 2024 RelProcTime: 2710
  151. Fri Oct 4 10:06:39 2024
  152. Fri Oct 4 10:06:39 2024 commencing linear algebra
  153. Fri Oct 4 10:06:39 2024 using VBITS=512
  154. Fri Oct 4 10:06:39 2024 read 4141977 cycles
  155. Fri Oct 4 10:06:45 2024 cycles contain 12895052 unique relations
  156. Fri Oct 4 10:07:49 2024 read 12895052 relations
  157. Fri Oct 4 10:08:03 2024 using 20 quadratic characters above 4294917295
  158. Fri Oct 4 10:08:54 2024 building initial matrix
  159. Fri Oct 4 10:11:08 2024 memory use: 1575.0 MB
  160. Fri Oct 4 10:11:09 2024 read 4141977 cycles
  161. Fri Oct 4 10:11:10 2024 matrix is 4141800 x 4141977 (1803.7 MB) with weight 511822052 (123.57/col)
  162. Fri Oct 4 10:11:10 2024 sparse part has weight 431404241 (104.15/col)
  163. Fri Oct 4 10:11:53 2024 filtering completed in 2 passes
  164. Fri Oct 4 10:11:54 2024 matrix is 4141677 x 4141820 (1803.7 MB) with weight 511817658 (123.57/col)
  165. Fri Oct 4 10:11:54 2024 sparse part has weight 431402808 (104.16/col)
  166. Fri Oct 4 10:12:03 2024 matrix starts at (0, 0)
  167. Fri Oct 4 10:12:03 2024 matrix is 4141677 x 4141820 (1803.7 MB) with weight 511817658 (123.57/col)
  168. Fri Oct 4 10:12:03 2024 sparse part has weight 431402808 (104.16/col)
  169. Fri Oct 4 10:12:03 2024 saving the first 496 matrix rows for later
  170. Fri Oct 4 10:12:04 2024 matrix includes 512 packed rows
  171. Fri Oct 4 10:12:07 2024 matrix is 4141181 x 4141820 (1705.0 MB) with weight 368522079 (88.98/col)
  172. Fri Oct 4 10:12:07 2024 sparse part has weight 347542458 (83.91/col)
  173. Fri Oct 4 10:12:07 2024 using GPU 0 (NVIDIA GeForce RTX 3060)
  174. Fri Oct 4 10:12:07 2024 selected card has CUDA arch 8.6
  175. Fri Oct 4 10:12:32 2024 commencing Lanczos iteration
  176. Fri Oct 4 10:12:32 2024 memory use: 4800.3 MB
  177. Fri Oct 4 10:12:47 2024 linear algebra at 0.4%, ETA 1h 2m
  178. Fri Oct 4 10:12:48 2024 checkpointing every 3810000 dimensions
  179. Fri Oct 4 11:23:22 2024 lanczos halted after 8102 iterations (dim = 4141179)
  180. Fri Oct 4 11:24:10 2024 recovered 34 nontrivial dependencies
  181. Fri Oct 4 11:24:10 2024 BLanczosTime: 4651
  182. Fri Oct 4 11:24:10 2024
  183. Fri Oct 4 11:24:10 2024 commencing square root phase
  184. Fri Oct 4 11:24:10 2024 handling dependencies 1 to 64
  185. Fri Oct 4 11:24:10 2024 reading relations for dependency 1
  186. Fri Oct 4 11:24:11 2024 read 2071485 cycles
  187. Fri Oct 4 11:24:14 2024 cycles contain 6446694 unique relations
  188. Fri Oct 4 11:24:49 2024 read 6446694 relations
  189. Fri Oct 4 11:25:10 2024 multiplying 6446694 relations
  190. Fri Oct 4 11:27:53 2024 multiply complete, coefficients have about 155.77 million bits
  191. Fri Oct 4 11:27:54 2024 initial square root is modulo 389357
  192. Fri Oct 4 11:31:05 2024 GCD is N, no factor found
  193. Fri Oct 4 11:31:05 2024 reading relations for dependency 2
  194. Fri Oct 4 11:31:06 2024 read 2070676 cycles
  195. Fri Oct 4 11:31:09 2024 cycles contain 6447288 unique relations
  196. Fri Oct 4 11:31:44 2024 read 6447288 relations
  197. Fri Oct 4 11:32:07 2024 multiplying 6447288 relations
  198. Fri Oct 4 11:34:50 2024 multiply complete, coefficients have about 155.79 million bits
  199. Fri Oct 4 11:34:51 2024 initial square root is modulo 389981
  200. Fri Oct 4 11:38:01 2024 GCD is 1, no factor found
  201. Fri Oct 4 11:38:01 2024 reading relations for dependency 3
  202. Fri Oct 4 11:38:02 2024 read 2070811 cycles
  203. Fri Oct 4 11:38:05 2024 cycles contain 6447798 unique relations
  204. Fri Oct 4 11:38:38 2024 read 6447798 relations
  205. Fri Oct 4 11:39:01 2024 multiplying 6447798 relations
  206. Fri Oct 4 11:41:44 2024 multiply complete, coefficients have about 155.80 million bits
  207. Fri Oct 4 11:41:44 2024 initial square root is modulo 390097
  208. Fri Oct 4 11:44:54 2024 GCD is N, no factor found
  209. Fri Oct 4 11:44:54 2024 reading relations for dependency 4
  210. Fri Oct 4 11:44:55 2024 read 2070232 cycles
  211. Fri Oct 4 11:44:58 2024 cycles contain 6444244 unique relations
  212. Fri Oct 4 11:45:31 2024 read 6444244 relations
  213. Fri Oct 4 11:45:54 2024 multiplying 6444244 relations
  214. Fri Oct 4 11:48:37 2024 multiply complete, coefficients have about 155.71 million bits
  215. Fri Oct 4 11:48:38 2024 initial square root is modulo 387307
  216. Fri Oct 4 11:51:47 2024 GCD is N, no factor found
  217. Fri Oct 4 11:51:47 2024 reading relations for dependency 5
  218. Fri Oct 4 11:51:48 2024 read 2071339 cycles
  219. Fri Oct 4 11:51:51 2024 cycles contain 6447914 unique relations
  220. Fri Oct 4 11:52:24 2024 read 6447914 relations
  221. Fri Oct 4 11:52:47 2024 multiplying 6447914 relations
  222. Fri Oct 4 11:55:30 2024 multiply complete, coefficients have about 155.80 million bits
  223. Fri Oct 4 11:55:31 2024 initial square root is modulo 390353
  224. Fri Oct 4 11:58:40 2024 GCD is 1, no factor found
  225. Fri Oct 4 11:58:40 2024 reading relations for dependency 6
  226. Fri Oct 4 11:58:41 2024 read 2071172 cycles
  227. Fri Oct 4 11:58:43 2024 cycles contain 6448556 unique relations
  228. Fri Oct 4 11:59:17 2024 read 6448556 relations
  229. Fri Oct 4 11:59:38 2024 multiplying 6448556 relations
  230. Fri Oct 4 12:02:21 2024 multiply complete, coefficients have about 155.82 million bits
  231. Fri Oct 4 12:02:22 2024 initial square root is modulo 390791
  232. Fri Oct 4 12:05:31 2024 sqrtTime: 2481
  233. Fri Oct 4 12:05:31 2024 p55 factor: 9809284980493242131168841031814087482063609681596915199
  234. Fri Oct 4 12:05:31 2024 p143 factor: 28156498664422328226117178911059461064871790464984917480190769274775282989238009053370706141696109646308154811288978182824634830168237967857629
  235. Fri Oct 4 12:05:31 2024 elapsed time 02:44:03
  236.  
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