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Feb 6th, 2025
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  1. Wed Feb 5 02:54:02 2025
  2. Wed Feb 5 02:54:02 2025
  3. Wed Feb 5 02:54:02 2025 Msieve v. 1.54 (SVN unknown)
  4. Wed Feb 5 02:54:02 2025 random seeds: d5248a86 48ea0585
  5. Wed Feb 5 02:54:02 2025 factoring 11819874385572368985726837821125067148419243457906156645489133027771987740468341057767558032402795628826570199826606394005211525887541648223363575987514761526189347882496096397632026403433453539197502995801977685997569 (218 digits)
  6. Wed Feb 5 02:54:04 2025 no P-1/P+1/ECM available, skipping
  7. Wed Feb 5 02:54:04 2025 commencing number field sieve (218-digit input)
  8. Wed Feb 5 02:54:04 2025 R0: 11150372599265311570767859136324180752990208
  9. Wed Feb 5 02:54:04 2025 R1: -1
  10. Wed Feb 5 02:54:04 2025 A0: -1
  11. Wed Feb 5 02:54:04 2025 A1: 0
  12. Wed Feb 5 02:54:04 2025 A2: 0
  13. Wed Feb 5 02:54:04 2025 A3: 0
  14. Wed Feb 5 02:54:04 2025 A4: 0
  15. Wed Feb 5 02:54:04 2025 A5: 0
  16. Wed Feb 5 02:54:04 2025 A6: 10
  17. Wed Feb 5 02:54:04 2025 skew 0.88, size 1.073e-12, alpha 1.180, combined = 1.207e-13 rroots = 2
  18. Wed Feb 5 02:54:04 2025
  19. Wed Feb 5 02:54:04 2025 commencing relation filtering
  20. Wed Feb 5 02:54:04 2025 setting target matrix density to 110.0
  21. Wed Feb 5 02:54:04 2025 estimated available RAM is 128798.6 MB
  22. Wed Feb 5 02:54:04 2025 commencing duplicate removal, pass 1
  23. Wed Feb 5 03:14:31 2025 error -15 reading relation 86993560
  24. Wed Feb 5 03:26:27 2025 error -11 reading relation 114232440
  25. Wed Feb 5 03:56:02 2025 error -11 reading relation 240132143
  26. Wed Feb 5 03:58:29 2025 error -15 reading relation 253831318
  27. Wed Feb 5 04:01:56 2025 error -11 reading relation 273386506
  28. Wed Feb 5 04:14:43 2025 skipped 841 relations with b > 2^32
  29. Wed Feb 5 04:14:43 2025 skipped 5 relations with composite factors
  30. Wed Feb 5 04:14:43 2025 skipped 1 malformed relations
  31. Wed Feb 5 04:14:43 2025 found 13104567 hash collisions in 344460204 relations
  32. Wed Feb 5 04:15:01 2025 added 1218323 free relations
  33. Wed Feb 5 04:15:01 2025 commencing duplicate removal, pass 2
  34. Wed Feb 5 04:18:52 2025 found 0 duplicates and 345678527 unique relations
  35. Wed Feb 5 04:18:52 2025 memory use: 1044.8 MB
  36. Wed Feb 5 04:18:52 2025 reading ideals above 720000
  37. Wed Feb 5 04:18:52 2025 commencing singleton removal, initial pass
  38. Wed Feb 5 05:11:52 2025 memory use: 6024.0 MB
  39. Wed Feb 5 05:11:52 2025 reading all ideals from disk
  40. Wed Feb 5 05:12:02 2025 memory use: 16807.7 MB
  41. Wed Feb 5 05:13:02 2025 keeping 318568571 ideals with weight <= 200, target excess is 1783708
  42. Wed Feb 5 05:13:54 2025 commencing in-memory singleton removal
  43. Wed Feb 5 05:15:50 2025 begin with 345678527 relations and 318568571 unique ideals
  44. Wed Feb 5 05:21:31 2025 reduce to 211364835 relations and 170084312 ideals in 15 passes
  45. Wed Feb 5 05:21:31 2025 max relations containing the same ideal: 155
  46. Wed Feb 5 05:24:37 2025 removing 12770929 relations and 10770929 ideals in 2000000 cliques
  47. Wed Feb 5 05:24:45 2025 commencing in-memory singleton removal
  48. Wed Feb 5 05:26:05 2025 begin with 198593906 relations and 170084312 unique ideals
  49. Wed Feb 5 05:28:42 2025 reduce to 198002219 relations and 158714110 ideals in 8 passes
  50. Wed Feb 5 05:28:42 2025 max relations containing the same ideal: 147
  51. Wed Feb 5 05:31:34 2025 removing 9665130 relations and 7665130 ideals in 2000000 cliques
  52. Wed Feb 5 05:31:42 2025 commencing in-memory singleton removal
  53. Wed Feb 5 05:32:57 2025 begin with 188337089 relations and 158714110 unique ideals
  54. Wed Feb 5 05:35:25 2025 reduce to 187953696 relations and 150661398 ideals in 8 passes
  55. Wed Feb 5 05:35:25 2025 max relations containing the same ideal: 145
  56. Wed Feb 5 05:38:00 2025 removing 8693404 relations and 6693404 ideals in 2000000 cliques
  57. Wed Feb 5 05:38:07 2025 commencing in-memory singleton removal
  58. Wed Feb 5 05:39:09 2025 begin with 179260292 relations and 150661398 unique ideals
  59. Wed Feb 5 05:41:01 2025 reduce to 178928331 relations and 143632471 ideals in 7 passes
  60. Wed Feb 5 05:41:01 2025 max relations containing the same ideal: 140
  61. Wed Feb 5 05:43:18 2025 removing 8169370 relations and 6169370 ideals in 2000000 cliques
  62. Wed Feb 5 05:43:25 2025 commencing in-memory singleton removal
  63. Wed Feb 5 05:44:16 2025 begin with 170758961 relations and 143632471 unique ideals
  64. Wed Feb 5 05:45:50 2025 reduce to 170451331 relations and 137152208 ideals in 7 passes
  65. Wed Feb 5 05:45:50 2025 max relations containing the same ideal: 135
  66. Wed Feb 5 05:47:56 2025 removing 7838792 relations and 5838792 ideals in 2000000 cliques
  67. Wed Feb 5 05:48:02 2025 commencing in-memory singleton removal
  68. Wed Feb 5 05:48:49 2025 begin with 162612539 relations and 137152208 unique ideals
  69. Wed Feb 5 05:50:16 2025 reduce to 162317310 relations and 131014929 ideals in 7 passes
  70. Wed Feb 5 05:50:16 2025 max relations containing the same ideal: 131
  71. Wed Feb 5 05:52:11 2025 removing 7603221 relations and 5603221 ideals in 2000000 cliques
  72. Wed Feb 5 05:52:17 2025 commencing in-memory singleton removal
  73. Wed Feb 5 05:53:02 2025 begin with 154714089 relations and 131014929 unique ideals
  74. Wed Feb 5 05:54:24 2025 reduce to 154425132 relations and 125119412 ideals in 7 passes
  75. Wed Feb 5 05:54:24 2025 max relations containing the same ideal: 125
  76. Wed Feb 5 05:56:13 2025 removing 7436196 relations and 5436196 ideals in 2000000 cliques
  77. Wed Feb 5 05:56:19 2025 commencing in-memory singleton removal
  78. Wed Feb 5 05:57:02 2025 begin with 146988936 relations and 125119412 unique ideals
  79. Wed Feb 5 05:58:19 2025 reduce to 146699407 relations and 119390148 ideals in 7 passes
  80. Wed Feb 5 05:58:19 2025 max relations containing the same ideal: 122
  81. Wed Feb 5 06:00:03 2025 removing 7314051 relations and 5314051 ideals in 2000000 cliques
  82. Wed Feb 5 06:00:08 2025 commencing in-memory singleton removal
  83. Wed Feb 5 06:00:48 2025 begin with 139385356 relations and 119390148 unique ideals
  84. Wed Feb 5 06:02:01 2025 reduce to 139094882 relations and 113781961 ideals in 7 passes
  85. Wed Feb 5 06:02:01 2025 max relations containing the same ideal: 119
  86. Wed Feb 5 06:03:39 2025 removing 7219074 relations and 5219074 ideals in 2000000 cliques
  87. Wed Feb 5 06:03:44 2025 commencing in-memory singleton removal
  88. Wed Feb 5 06:04:22 2025 begin with 131875808 relations and 113781961 unique ideals
  89. Wed Feb 5 06:05:31 2025 reduce to 131579546 relations and 108262728 ideals in 7 passes
  90. Wed Feb 5 06:05:31 2025 max relations containing the same ideal: 115
  91. Wed Feb 5 06:07:02 2025 removing 7157454 relations and 5157454 ideals in 2000000 cliques
  92. Wed Feb 5 06:07:07 2025 commencing in-memory singleton removal
  93. Wed Feb 5 06:07:42 2025 begin with 124422092 relations and 108262728 unique ideals
  94. Wed Feb 5 06:08:47 2025 reduce to 124117676 relations and 102796687 ideals in 7 passes
  95. Wed Feb 5 06:08:47 2025 max relations containing the same ideal: 111
  96. Wed Feb 5 06:10:12 2025 removing 7109114 relations and 5109114 ideals in 2000000 cliques
  97. Wed Feb 5 06:10:17 2025 commencing in-memory singleton removal
  98. Wed Feb 5 06:10:50 2025 begin with 117008562 relations and 102796687 unique ideals
  99. Wed Feb 5 06:11:51 2025 reduce to 116691305 relations and 97365741 ideals in 7 passes
  100. Wed Feb 5 06:11:51 2025 max relations containing the same ideal: 111
  101. Wed Feb 5 06:13:11 2025 removing 7085332 relations and 5085332 ideals in 2000000 cliques
  102. Wed Feb 5 06:13:16 2025 commencing in-memory singleton removal
  103. Wed Feb 5 06:13:47 2025 begin with 109605973 relations and 97365741 unique ideals
  104. Wed Feb 5 06:14:43 2025 reduce to 109272695 relations and 91941955 ideals in 7 passes
  105. Wed Feb 5 06:14:43 2025 max relations containing the same ideal: 107
  106. Wed Feb 5 06:15:58 2025 removing 7076817 relations and 5076817 ideals in 2000000 cliques
  107. Wed Feb 5 06:16:03 2025 commencing in-memory singleton removal
  108. Wed Feb 5 06:16:31 2025 begin with 102195878 relations and 91941955 unique ideals
  109. Wed Feb 5 06:17:23 2025 reduce to 101841276 relations and 86504817 ideals in 7 passes
  110. Wed Feb 5 06:17:23 2025 max relations containing the same ideal: 98
  111. Wed Feb 5 06:18:33 2025 removing 7090468 relations and 5090468 ideals in 2000000 cliques
  112. Wed Feb 5 06:18:38 2025 commencing in-memory singleton removal
  113. Wed Feb 5 06:19:04 2025 begin with 94750808 relations and 86504817 unique ideals
  114. Wed Feb 5 06:19:52 2025 reduce to 94371557 relations and 81028566 ideals in 7 passes
  115. Wed Feb 5 06:19:52 2025 max relations containing the same ideal: 96
  116. Wed Feb 5 06:20:57 2025 removing 7115892 relations and 5115892 ideals in 2000000 cliques
  117. Wed Feb 5 06:21:01 2025 commencing in-memory singleton removal
  118. Wed Feb 5 06:21:25 2025 begin with 87255665 relations and 81028566 unique ideals
  119. Wed Feb 5 06:22:09 2025 reduce to 86845162 relations and 75494560 ideals in 7 passes
  120. Wed Feb 5 06:22:09 2025 max relations containing the same ideal: 91
  121. Wed Feb 5 06:23:09 2025 removing 7164479 relations and 5164479 ideals in 2000000 cliques
  122. Wed Feb 5 06:23:13 2025 commencing in-memory singleton removal
  123. Wed Feb 5 06:23:35 2025 begin with 79680683 relations and 75494560 unique ideals
  124. Wed Feb 5 06:24:19 2025 reduce to 79227128 relations and 69867369 ideals in 8 passes
  125. Wed Feb 5 06:24:19 2025 max relations containing the same ideal: 85
  126. Wed Feb 5 06:25:14 2025 removing 7235447 relations and 5235447 ideals in 2000000 cliques
  127. Wed Feb 5 06:25:18 2025 commencing in-memory singleton removal
  128. Wed Feb 5 06:25:37 2025 begin with 71991681 relations and 69867369 unique ideals
  129. Wed Feb 5 06:26:17 2025 reduce to 71481785 relations and 64111133 ideals in 8 passes
  130. Wed Feb 5 06:26:17 2025 max relations containing the same ideal: 79
  131. Wed Feb 5 06:27:07 2025 removing 7336034 relations and 5336034 ideals in 2000000 cliques
  132. Wed Feb 5 06:27:11 2025 commencing in-memory singleton removal
  133. Wed Feb 5 06:27:28 2025 begin with 64145751 relations and 64111133 unique ideals
  134. Wed Feb 5 06:28:03 2025 reduce to 63557575 relations and 58172907 ideals in 8 passes
  135. Wed Feb 5 06:28:03 2025 max relations containing the same ideal: 70
  136. Wed Feb 5 06:28:47 2025 removing 7471006 relations and 5471006 ideals in 2000000 cliques
  137. Wed Feb 5 06:28:51 2025 commencing in-memory singleton removal
  138. Wed Feb 5 06:29:05 2025 begin with 56086569 relations and 58172907 unique ideals
  139. Wed Feb 5 06:29:40 2025 reduce to 55393175 relations and 51990082 ideals in 9 passes
  140. Wed Feb 5 06:29:40 2025 max relations containing the same ideal: 64
  141. Wed Feb 5 06:30:18 2025 removing 5550302 relations and 4216311 ideals in 1333991 cliques
  142. Wed Feb 5 06:30:21 2025 commencing in-memory singleton removal
  143. Wed Feb 5 06:30:34 2025 begin with 49842873 relations and 51990082 unique ideals
  144. Wed Feb 5 06:31:04 2025 reduce to 49403324 relations and 47325045 ideals in 9 passes
  145. Wed Feb 5 06:31:04 2025 max relations containing the same ideal: 59
  146. Wed Feb 5 06:31:38 2025 removing 80160 relations and 70983 ideals in 9177 cliques
  147. Wed Feb 5 06:31:40 2025 commencing in-memory singleton removal
  148. Wed Feb 5 06:31:52 2025 begin with 49323164 relations and 47325045 unique ideals
  149. Wed Feb 5 06:32:06 2025 reduce to 49323074 relations and 47253972 ideals in 4 passes
  150. Wed Feb 5 06:32:06 2025 max relations containing the same ideal: 59
  151. Wed Feb 5 06:32:15 2025 relations with 0 large ideals: 66272
  152. Wed Feb 5 06:32:15 2025 relations with 1 large ideals: 59204
  153. Wed Feb 5 06:32:15 2025 relations with 2 large ideals: 630768
  154. Wed Feb 5 06:32:15 2025 relations with 3 large ideals: 3163458
  155. Wed Feb 5 06:32:15 2025 relations with 4 large ideals: 8399214
  156. Wed Feb 5 06:32:15 2025 relations with 5 large ideals: 13055207
  157. Wed Feb 5 06:32:15 2025 relations with 6 large ideals: 12453219
  158. Wed Feb 5 06:32:15 2025 relations with 7+ large ideals: 11495732
  159. Wed Feb 5 06:32:15 2025 commencing 2-way merge
  160. Wed Feb 5 06:33:07 2025 reduce to 30315259 relation sets and 28246156 unique ideals
  161. Wed Feb 5 06:33:07 2025 commencing full merge
  162. Wed Feb 5 06:44:03 2025 memory use: 3562.8 MB
  163. Wed Feb 5 06:44:06 2025 found 13917586 cycles, need 13706356
  164. Wed Feb 5 06:44:11 2025 weight of 13706356 cycles is about 1508232200 (110.04/cycle)
  165. Wed Feb 5 06:44:11 2025 distribution of cycle lengths:
  166. Wed Feb 5 06:44:11 2025 1 relations: 1045603
  167. Wed Feb 5 06:44:11 2025 2 relations: 995688
  168. Wed Feb 5 06:44:11 2025 3 relations: 1013792
  169. Wed Feb 5 06:44:11 2025 4 relations: 1006845
  170. Wed Feb 5 06:44:11 2025 5 relations: 1004568
  171. Wed Feb 5 06:44:11 2025 6 relations: 992997
  172. Wed Feb 5 06:44:11 2025 7 relations: 963079
  173. Wed Feb 5 06:44:11 2025 8 relations: 920210
  174. Wed Feb 5 06:44:11 2025 9 relations: 864667
  175. Wed Feb 5 06:44:11 2025 10+ relations: 4898907
  176. Wed Feb 5 06:44:11 2025 heaviest cycle: 27 relations
  177. Wed Feb 5 06:44:16 2025 commencing cycle optimization
  178. Wed Feb 5 06:44:46 2025 start with 110894663 relations
  179. Wed Feb 5 06:48:37 2025 pruned 4365700 relations
  180. Wed Feb 5 06:48:38 2025 memory use: 3134.4 MB
  181. Wed Feb 5 06:48:38 2025 distribution of cycle lengths:
  182. Wed Feb 5 06:48:38 2025 1 relations: 1045603
  183. Wed Feb 5 06:48:38 2025 2 relations: 1017499
  184. Wed Feb 5 06:48:38 2025 3 relations: 1051696
  185. Wed Feb 5 06:48:38 2025 4 relations: 1043340
  186. Wed Feb 5 06:48:38 2025 5 relations: 1048824
  187. Wed Feb 5 06:48:38 2025 6 relations: 1035214
  188. Wed Feb 5 06:48:38 2025 7 relations: 1007614
  189. Wed Feb 5 06:48:38 2025 8 relations: 960172
  190. Wed Feb 5 06:48:38 2025 9 relations: 899361
  191. Wed Feb 5 06:48:38 2025 10+ relations: 4597033
  192. Wed Feb 5 06:48:38 2025 heaviest cycle: 27 relations
  193. Wed Feb 5 06:49:13 2025 RelProcTime: 14109
  194. Wed Feb 5 06:49:13 2025 elapsed time 03:55:11
  195. Wed Feb 5 14:41:20 2025
  196. Wed Feb 5 14:41:20 2025
  197. Wed Feb 5 14:41:20 2025 Msieve v. 1.54 (SVN unknown)
  198. Wed Feb 5 14:41:20 2025 random seeds: fab2e554 ac986ab8
  199. Wed Feb 5 14:41:20 2025 factoring 11819874385572368985726837821125067148419243457906156645489133027771987740468341057767558032402795628826570199826606394005211525887541648223363575987514761526189347882496096397632026403433453539197502995801977685997569 (218 digits)
  200. Wed Feb 5 14:41:22 2025 no P-1/P+1/ECM available, skipping
  201. Wed Feb 5 14:41:22 2025 commencing number field sieve (218-digit input)
  202. Wed Feb 5 14:41:22 2025 R0: 11150372599265311570767859136324180752990208
  203. Wed Feb 5 14:41:22 2025 R1: -1
  204. Wed Feb 5 14:41:22 2025 A0: -1
  205. Wed Feb 5 14:41:22 2025 A1: 0
  206. Wed Feb 5 14:41:22 2025 A2: 0
  207. Wed Feb 5 14:41:22 2025 A3: 0
  208. Wed Feb 5 14:41:22 2025 A4: 0
  209. Wed Feb 5 14:41:22 2025 A5: 0
  210. Wed Feb 5 14:41:22 2025 A6: 10
  211. Wed Feb 5 14:41:22 2025 skew 0.88, size 1.073e-12, alpha 1.180, combined = 1.207e-13 rroots = 2
  212. Wed Feb 5 14:41:22 2025
  213. Wed Feb 5 14:41:22 2025 commencing linear algebra
  214. Wed Feb 5 14:41:22 2025 using VBITS=128
  215. Wed Feb 5 14:41:25 2025 read 13706356 cycles
  216. Wed Feb 5 14:42:03 2025 cycles contain 48056225 unique relations
  217. Wed Feb 5 15:01:23 2025 read 48056225 relations
  218. Wed Feb 5 15:03:27 2025 using 20 quadratic characters above 4294917295
  219. Wed Feb 5 15:08:35 2025 building initial matrix
  220. Wed Feb 5 15:26:28 2025 memory use: 6042.7 MB
  221. Wed Feb 5 15:26:45 2025 read 13706356 cycles
  222. Wed Feb 5 15:26:48 2025 matrix is 13706173 x 13706356 (5989.2 MB) with weight 1720894664 (125.55/col)
  223. Wed Feb 5 15:26:48 2025 sparse part has weight 1419260485 (103.55/col)
  224. Wed Feb 5 15:30:12 2025 filtering completed in 2 passes
  225. Wed Feb 5 15:30:16 2025 matrix is 13703988 x 13704171 (5989.0 MB) with weight 1720808100 (125.57/col)
  226. Wed Feb 5 15:30:16 2025 sparse part has weight 1419222547 (103.56/col)
  227. Wed Feb 5 15:31:37 2025 matrix starts at (0, 0)
  228. Wed Feb 5 15:31:40 2025 matrix is 13703988 x 13704171 (5989.0 MB) with weight 1720808100 (125.57/col)
  229. Wed Feb 5 15:31:40 2025 sparse part has weight 1419222547 (103.56/col)
  230. Wed Feb 5 15:31:40 2025 saving the first 112 matrix rows for later
  231. Wed Feb 5 15:31:44 2025 matrix includes 128 packed rows
  232. Wed Feb 5 15:31:49 2025 matrix is 13703876 x 13704171 (5623.2 MB) with weight 1376023798 (100.41/col)
  233. Wed Feb 5 15:31:49 2025 sparse part has weight 1309643639 (95.57/col)
  234. Wed Feb 5 15:31:51 2025 using GPU 0 (Tesla P100-PCIE-16GB)
  235. Wed Feb 5 15:31:51 2025 selected card has CUDA arch 6.0
  236. Wed Feb 5 15:37:52 2025 commencing Lanczos iteration
  237. Wed Feb 5 15:37:52 2025 memory use: 11769.2 MB
  238. Wed Feb 5 15:40:01 2025 linear algebra at 0.2%, ETA 15h40m
  239. Wed Feb 5 15:40:33 2025 checking every 10000 dimensions, checkpointing every 880000 dimensions
  240. Thu Feb 6 07:14:10 2025 lanczos halted after 107704 iterations (dim = 13703872)
  241. Thu Feb 6 07:14:47 2025 recovered 33 nontrivial dependencies
  242. Thu Feb 6 07:14:48 2025 BLanczosTime: 59606
  243. Thu Feb 6 07:14:48 2025
  244. Thu Feb 6 07:14:48 2025 commencing square root phase
  245. Thu Feb 6 07:14:48 2025 reading relations for dependency 1
  246. Thu Feb 6 07:14:55 2025 read 6851984 cycles
  247. Thu Feb 6 07:15:20 2025 cycles contain 24032174 unique relations
  248. Thu Feb 6 07:21:00 2025 read 24032174 relations
  249. Thu Feb 6 07:24:24 2025 multiplying 24032174 relations
  250. Thu Feb 6 08:00:36 2025 multiply complete, coefficients have about 691.67 million bits
  251. Thu Feb 6 08:00:40 2025 initial square root is modulo 1604419
  252. Thu Feb 6 08:29:11 2025 sqrtTime: 4463
  253. Thu Feb 6 08:29:11 2025 p92 factor: 61384140982406825423302403452226892245704357191544410751530121020075431340020583434697609689
  254. Thu Feb 6 08:29:11 2025 p126 factor: 192555832767294688824646756057834456234869755906368843732215158475589743980266151360885537794331760971387482019476900132066921
  255. Thu Feb 6 08:29:11 2025 elapsed time 17:47:51
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