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C190_3366_i2272 msieve.log

kyleaskine
Oct 3rd, 2026
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  1. Fri Oct 2 16:17:57 2026
  2. Fri Oct 2 16:17:57 2026
  3. Fri Oct 2 16:17:57 2026 Msieve v. 1.54 (SVN unknown)
  4. Fri Oct 2 16:17:57 2026 random seeds: 2aa676c5 2ea11a8d
  5. Fri Oct 2 16:17:57 2026 Using 14 OpenMP threads
  6. Fri Oct 2 16:17:57 2026 factoring 4566453843351688011397680617151525013604144867331687093425208155739305988231100047644555734235468137074048585593866178226276343427685891713374965529478215015079640231208006952909663548976531 (190 digits)
  7. Fri Oct 2 16:17:57 2026 no P-1/P+1/ECM available, skipping
  8. Fri Oct 2 16:17:57 2026 commencing number field sieve (190-digit input)
  9. Fri Oct 2 16:17:57 2026 R0: -5310606826522185343511740641022976315
  10. Fri Oct 2 16:17:57 2026 R1: 166176042742922184046483
  11. Fri Oct 2 16:17:57 2026 A0: 554384699719395618227488545936228055602048
  12. Fri Oct 2 16:17:57 2026 A1: 265719281884287562844385370377990386
  13. Fri Oct 2 16:17:57 2026 A2: -51866293445676659963387934443
  14. Fri Oct 2 16:17:57 2026 A3: -1368949796571468571774
  15. Fri Oct 2 16:17:57 2026 A4: 352477345416264
  16. Fri Oct 2 16:17:57 2026 A5: 9729720
  17. Fri Oct 2 16:17:57 2026 skew 9664677.15, size 2.098e-18, alpha -6.081, combined = 2.843e-14 rroots = 3
  18. Fri Oct 2 16:17:57 2026
  19. Fri Oct 2 16:17:57 2026 commencing relation filtering
  20. Fri Oct 2 16:17:57 2026 setting 3 target densities:Fri Oct 2 16:17:57 2026 110Fri Oct 2 16:17:57 2026 130Fri Oct 2 16:17:57 2026 140Fri Oct 2 16:17:57 2026
  21. Fri Oct 2 16:17:57 2026 estimated available RAM is 78540.1 MB
  22. Fri Oct 2 16:17:57 2026 commencing duplicate removal, pass 1
  23. Fri Oct 2 16:21:50 2026 error -1 reading relation 172182327
  24. Fri Oct 2 16:22:15 2026 error -1 reading relation 188141973
  25. Fri Oct 2 16:22:29 2026 error -1 reading relation 200038206
  26. Fri Oct 2 16:22:35 2026 error -5 reading relation 204096404
  27. Fri Oct 2 16:22:58 2026 error -1 reading relation 221774775
  28. Fri Oct 2 16:23:14 2026 error -1 reading relation 233360064
  29. Fri Oct 2 16:23:21 2026 error -1 reading relation 239972068
  30. Fri Oct 2 16:23:45 2026 error -1 reading relation 256744919
  31. Fri Oct 2 16:24:00 2026 error -1 reading relation 269376254
  32. Fri Oct 2 16:24:02 2026 error -1 reading relation 270929777
  33. Fri Oct 2 16:24:13 2026 error -1 reading relation 278622959
  34. Fri Oct 2 16:24:15 2026 error -1 reading relation 280407309
  35. Fri Oct 2 16:24:20 2026 error -1 reading relation 283998457
  36. Fri Oct 2 16:24:22 2026 error -1 reading relation 287064124
  37. Fri Oct 2 16:24:41 2026 error -1 reading relation 300587816
  38. Fri Oct 2 16:24:48 2026 error -1 reading relation 305600811
  39. Fri Oct 2 16:24:53 2026 error -1 reading relation 311194524
  40. Fri Oct 2 16:25:16 2026 error -1 reading relation 328709368
  41. Fri Oct 2 16:25:18 2026 error -1 reading relation 330573511
  42. Fri Oct 2 16:25:19 2026 error -1 reading relation 330602583
  43. Fri Oct 2 16:25:24 2026 error -1 reading relation 337099910
  44. Fri Oct 2 16:25:27 2026 error -1 reading relation 338968309
  45. Fri Oct 2 16:25:30 2026 error -1 reading relation 341098696
  46. Fri Oct 2 16:25:43 2026 error -1 reading relation 350983093
  47. Fri Oct 2 16:25:49 2026 error -1 reading relation 355904554
  48. Fri Oct 2 16:25:52 2026 error -1 reading relation 359197711
  49. Fri Oct 2 16:26:00 2026 error -11 reading relation 364560661
  50. Fri Oct 2 16:26:06 2026 error -1 reading relation 368523202
  51. Fri Oct 2 16:26:13 2026 error -1 reading relation 373451179
  52. Fri Oct 2 16:26:14 2026 error -1 reading relation 374087858
  53. Fri Oct 2 16:26:20 2026 error -1 reading relation 378168150
  54. Fri Oct 2 16:26:28 2026 error -1 reading relation 384073283
  55. Fri Oct 2 16:26:29 2026 error -1 reading relation 384440711
  56. Fri Oct 2 16:26:33 2026 error -1 reading relation 386961734
  57. Fri Oct 2 16:26:41 2026 error -1 reading relation 391835658
  58. Fri Oct 2 16:26:43 2026 error -1 reading relation 392860614
  59. Fri Oct 2 16:26:52 2026 error -1 reading relation 398113153
  60. Fri Oct 2 16:26:55 2026 error -1 reading relation 401002212
  61. Fri Oct 2 16:26:58 2026 error -1 reading relation 402761816
  62. Fri Oct 2 16:27:06 2026 error -1 reading relation 406962929
  63. Fri Oct 2 16:27:15 2026 error -1 reading relation 412276231
  64. Fri Oct 2 16:27:21 2026 error -1 reading relation 415413335
  65. Fri Oct 2 16:27:21 2026 error -1 reading relation 416138653
  66. Fri Oct 2 16:27:24 2026 error -1 reading relation 417507083
  67. Fri Oct 2 16:27:28 2026 error -1 reading relation 420001983
  68. Fri Oct 2 16:27:29 2026 error -1 reading relation 420370300
  69. Fri Oct 2 16:27:29 2026 error -1 reading relation 420457901
  70. Fri Oct 2 16:27:34 2026 error -1 reading relation 423279528
  71. Fri Oct 2 16:27:34 2026 error -1 reading relation 423403529
  72. Fri Oct 2 16:27:42 2026 error -1 reading relation 428094675
  73. Fri Oct 2 16:27:42 2026 error -1 reading relation 428287848
  74. Fri Oct 2 16:27:43 2026 error -1 reading relation 428451283
  75. Fri Oct 2 16:27:43 2026 error -1 reading relation 428622732
  76. Fri Oct 2 16:27:48 2026 error -1 reading relation 431917967
  77. Fri Oct 2 16:27:52 2026 error -1 reading relation 434560127
  78. Fri Oct 2 16:27:51 2026 error -1 reading relation 435525232
  79. Fri Oct 2 16:28:00 2026 error -1 reading relation 440725149
  80. Fri Oct 2 16:28:06 2026 error -1 reading relation 444655977
  81. Fri Oct 2 16:28:08 2026 error -1 reading relation 445421449
  82. Fri Oct 2 16:28:09 2026 error -1 reading relation 446379620
  83. Fri Oct 2 16:28:17 2026 error -1 reading relation 450896626
  84. Fri Oct 2 16:28:17 2026 error -1 reading relation 451213546
  85. Fri Oct 2 16:28:18 2026 error -1 reading relation 451260263
  86. Fri Oct 2 16:28:18 2026 error -1 reading relation 451672397
  87. Fri Oct 2 16:28:22 2026 error -1 reading relation 455819490
  88. Fri Oct 2 16:28:22 2026 error -1 reading relation 455826100
  89. Fri Oct 2 16:28:38 2026 error -1 reading relation 466742675
  90. Fri Oct 2 16:28:50 2026 error -1 reading relation 475543309
  91. Fri Oct 2 16:28:51 2026 error -1 reading relation 476252983
  92. Fri Oct 2 16:28:53 2026 error -1 reading relation 477235020
  93. Fri Oct 2 16:29:03 2026 error -1 reading relation 483859466
  94. Fri Oct 2 16:29:11 2026 error -1 reading relation 488565974
  95. Fri Oct 2 16:29:25 2026 error -1 reading relation 499056920
  96. Fri Oct 2 16:29:26 2026 error -1 reading relation 499741597
  97. Fri Oct 2 16:29:27 2026 error -1 reading relation 500536957
  98. Fri Oct 2 16:29:37 2026 error -1 reading relation 506902522
  99. Fri Oct 2 16:29:38 2026 error -1 reading relation 507374666
  100. Fri Oct 2 16:29:49 2026 error -1 reading relation 514741781
  101. Fri Oct 2 16:29:56 2026 error -1 reading relation 520403138
  102. Fri Oct 2 16:30:18 2026 error -1 reading relation 532279336
  103. Fri Oct 2 16:30:24 2026 error -5 reading relation 537908298
  104. Fri Oct 2 16:30:27 2026 error -1 reading relation 539912480
  105. Fri Oct 2 16:30:38 2026 error -1 reading relation 546009906
  106. Fri Oct 2 16:30:40 2026 error -1 reading relation 547747262
  107. Fri Oct 2 16:30:41 2026 error -1 reading relation 548090270
  108. Fri Oct 2 16:30:47 2026 error -1 reading relation 551989442
  109. Fri Oct 2 16:30:47 2026 error -1 reading relation 551991037
  110. Fri Oct 2 16:30:50 2026 error -1 reading relation 553628113
  111. Fri Oct 2 16:30:51 2026 error -1 reading relation 556123061
  112. Fri Oct 2 16:30:54 2026 error -1 reading relation 558018762
  113. Fri Oct 2 16:30:54 2026 error -1 reading relation 558026117
  114. Fri Oct 2 16:30:56 2026 error -1 reading relation 559169773
  115. Fri Oct 2 16:31:01 2026 error -1 reading relation 561644311
  116. Fri Oct 2 16:31:06 2026 error -1 reading relation 565317533
  117. Fri Oct 2 16:31:14 2026 error -1 reading relation 570278580
  118. Fri Oct 2 16:31:22 2026 error -1 reading relation 575106821
  119. Fri Oct 2 16:31:22 2026 error -1 reading relation 575302357
  120. Fri Oct 2 16:31:22 2026 error -1 reading relation 575323753
  121. Fri Oct 2 16:31:26 2026 error -1 reading relation 579226347
  122. Fri Oct 2 16:31:30 2026 error -1 reading relation 581857103
  123. Fri Oct 2 16:31:34 2026 error -1 reading relation 584819730
  124. Fri Oct 2 16:31:44 2026 error -1 reading relation 590575732
  125. Fri Oct 2 16:31:45 2026 error -1 reading relation 591374793
  126. Fri Oct 2 16:31:49 2026 error -1 reading relation 594085906
  127. Fri Oct 2 16:31:53 2026 error -1 reading relation 598093774
  128. Fri Oct 2 16:31:53 2026 error -1 reading relation 598129764
  129. Fri Oct 2 16:32:03 2026 error -1 reading relation 606891871
  130. Fri Oct 2 16:32:12 2026 error -1 reading relation 612442814
  131. Fri Oct 2 16:32:17 2026 error -1 reading relation 615392536
  132. Fri Oct 2 16:32:31 2026 error -1 reading relation 625437912
  133. Fri Oct 2 16:32:31 2026 error -1 reading relation 625583563
  134. Fri Oct 2 16:32:36 2026 error -1 reading relation 627852641
  135. Fri Oct 2 16:32:38 2026 error -1 reading relation 628957314
  136. Fri Oct 2 16:32:38 2026 error -1 reading relation 629368561
  137. Fri Oct 2 16:32:39 2026 error -1 reading relation 630069326
  138. Fri Oct 2 16:32:40 2026 error -1 reading relation 630494028
  139. Fri Oct 2 16:32:41 2026 error -1 reading relation 630818827
  140. Fri Oct 2 16:32:45 2026 error -1 reading relation 633406969
  141. Fri Oct 2 16:32:45 2026 error -1 reading relation 633406970
  142. Fri Oct 2 16:32:53 2026 error -1 reading relation 640097727
  143. Fri Oct 2 16:32:53 2026 error -1 reading relation 640100074
  144. Fri Oct 2 16:33:01 2026 error -1 reading relation 644885081
  145. Fri Oct 2 16:33:02 2026 error -1 reading relation 645912685
  146. Fri Oct 2 16:33:06 2026 error -1 reading relation 648576475
  147. Fri Oct 2 16:33:09 2026 error -1 reading relation 650185604
  148. Fri Oct 2 16:33:13 2026 error -1 reading relation 652828691
  149. Fri Oct 2 16:33:14 2026 error -1 reading relation 653865319
  150. Fri Oct 2 16:33:20 2026 error -1 reading relation 657795525
  151. Fri Oct 2 16:33:20 2026 error -1 reading relation 659745102
  152. Fri Oct 2 16:33:23 2026 error -1 reading relation 661749027
  153. Fri Oct 2 16:33:25 2026 error -1 reading relation 662559272
  154. Fri Oct 2 16:33:28 2026 error -1 reading relation 664745196
  155. Fri Oct 2 16:33:30 2026 error -1 reading relation 666144155
  156. Fri Oct 2 16:33:34 2026 error -1 reading relation 668950334
  157. Fri Oct 2 16:33:35 2026 skipped 1 relations with b > 2^32
  158. Fri Oct 2 16:33:35 2026 skipped 3 relations with composite factors
  159. Fri Oct 2 16:33:35 2026 skipped 911 malformed relations
  160. Fri Oct 2 16:33:35 2026 found 149425360 hash collisions in 669425266 relations
  161. Fri Oct 2 16:33:48 2026 added 121532 free relations
  162. Fri Oct 2 16:33:48 2026 commencing duplicate removal, pass 2
  163. Fri Oct 2 16:41:09 2026 found 154058825 duplicates and 515487973 unique relations
  164. Fri Oct 2 16:41:09 2026 memory use: 4774.0 MB
  165. Fri Oct 2 16:41:09 2026 reading ideals above 299958272
  166. Fri Oct 2 16:41:09 2026 commencing singleton removal, initial pass
  167. Fri Oct 2 16:55:45 2026 memory use: 11024.0 MB
  168. Fri Oct 2 16:55:45 2026 reading all ideals from disk
  169. Fri Oct 2 16:55:50 2026 memory use: 13436.9 MB
  170. Fri Oct 2 16:56:05 2026 commencing in-memory singleton removal
  171. Fri Oct 2 16:56:08 2026 begin with 515487973 relations and 447809604 unique ideals
  172. Fri Oct 2 16:56:33 2026 reduce to 320997453 relations and 233141860 ideals in 15 passes
  173. Fri Oct 2 16:56:33 2026 max relations containing the same ideal: 50
  174. Fri Oct 2 16:56:45 2026 reading ideals above 720000
  175. Fri Oct 2 16:56:45 2026 commencing singleton removal, initial pass
  176. Fri Oct 2 17:15:37 2026 memory use: 6024.0 MB
  177. Fri Oct 2 17:15:37 2026 reading all ideals from disk
  178. Fri Oct 2 17:17:14 2026 memory use: 16064.4 MB
  179. Fri Oct 2 17:17:53 2026 keeping 263989818 ideals with weight <= 200, target excess is 1653283
  180. Fri Oct 2 17:18:21 2026 commencing in-memory singleton removal
  181. Fri Oct 2 17:18:26 2026 begin with 320997453 relations and 263989818 unique ideals
  182. Fri Oct 2 17:18:45 2026 reduce to 320988984 relations and 263981349 ideals in 8 passes
  183. Fri Oct 2 17:18:45 2026 max relations containing the same ideal: 200
  184. Fri Oct 2 17:20:06 2026 removing 14198200 relations and 12198200 ideals in 2000000 cliques
  185. Fri Oct 2 17:20:12 2026 commencing in-memory singleton removal
  186. Fri Oct 2 17:20:14 2026 begin with 306790784 relations and 263981349 unique ideals
  187. Fri Oct 2 17:20:36 2026 reduce to 306319182 relations and 251307455 ideals in 8 passes
  188. Fri Oct 2 17:20:36 2026 max relations containing the same ideal: 200
  189. Fri Oct 2 17:21:52 2026 removing 10728330 relations and 8728330 ideals in 2000000 cliques
  190. Fri Oct 2 17:21:57 2026 commencing in-memory singleton removal
  191. Fri Oct 2 17:22:01 2026 begin with 295590852 relations and 251307455 unique ideals
  192. Fri Oct 2 17:22:18 2026 reduce to 295291983 relations and 242278143 ideals in 8 passes
  193. Fri Oct 2 17:22:18 2026 max relations containing the same ideal: 198
  194. Fri Oct 2 17:23:30 2026 removing 9636083 relations and 7636083 ideals in 2000000 cliques
  195. Fri Oct 2 17:23:35 2026 commencing in-memory singleton removal
  196. Fri Oct 2 17:23:39 2026 begin with 285655900 relations and 242278143 unique ideals
  197. Fri Oct 2 17:23:54 2026 reduce to 285400561 relations and 234385004 ideals in 7 passes
  198. Fri Oct 2 17:23:54 2026 max relations containing the same ideal: 196
  199. Fri Oct 2 17:25:03 2026 removing 9028229 relations and 7028229 ideals in 2000000 cliques
  200. Fri Oct 2 17:25:07 2026 commencing in-memory singleton removal
  201. Fri Oct 2 17:25:11 2026 begin with 276372332 relations and 234385004 unique ideals
  202. Fri Oct 2 17:25:22 2026 reduce to 276138757 relations and 227121622 ideals in 6 passes
  203. Fri Oct 2 17:25:22 2026 max relations containing the same ideal: 195
  204. Fri Oct 2 17:26:29 2026 removing 8619473 relations and 6619473 ideals in 2000000 cliques
  205. Fri Oct 2 17:26:33 2026 commencing in-memory singleton removal
  206. Fri Oct 2 17:26:37 2026 begin with 267519284 relations and 227121622 unique ideals
  207. Fri Oct 2 17:26:50 2026 reduce to 267297746 relations and 220279085 ideals in 7 passes
  208. Fri Oct 2 17:26:50 2026 max relations containing the same ideal: 195
  209. Fri Oct 2 17:27:55 2026 removing 8323405 relations and 6323405 ideals in 2000000 cliques
  210. Fri Oct 2 17:27:59 2026 commencing in-memory singleton removal
  211. Fri Oct 2 17:28:02 2026 begin with 258974341 relations and 220279085 unique ideals
  212. Fri Oct 2 17:28:14 2026 reduce to 258761513 relations and 213741362 ideals in 7 passes
  213. Fri Oct 2 17:28:14 2026 max relations containing the same ideal: 192
  214. Fri Oct 2 17:29:16 2026 removing 8108605 relations and 6108605 ideals in 2000000 cliques
  215. Fri Oct 2 17:29:21 2026 commencing in-memory singleton removal
  216. Fri Oct 2 17:29:24 2026 begin with 250652908 relations and 213741362 unique ideals
  217. Fri Oct 2 17:29:39 2026 reduce to 250444000 relations and 207422301 ideals in 7 passes
  218. Fri Oct 2 17:29:39 2026 max relations containing the same ideal: 188
  219. Fri Oct 2 17:30:42 2026 removing 7939627 relations and 5939627 ideals in 2000000 cliques
  220. Fri Oct 2 17:30:43 2026 commencing in-memory singleton removal
  221. Fri Oct 2 17:30:46 2026 begin with 242504373 relations and 207422301 unique ideals
  222. Fri Oct 2 17:31:00 2026 reduce to 242297801 relations and 201274512 ideals in 6 passes
  223. Fri Oct 2 17:31:00 2026 max relations containing the same ideal: 182
  224. Fri Oct 2 17:32:01 2026 removing 7808249 relations and 5808249 ideals in 2000000 cliques
  225. Fri Oct 2 17:32:05 2026 commencing in-memory singleton removal
  226. Fri Oct 2 17:32:08 2026 begin with 234489552 relations and 201274512 unique ideals
  227. Fri Oct 2 17:32:18 2026 reduce to 234283405 relations and 195258531 ideals in 6 passes
  228. Fri Oct 2 17:32:18 2026 max relations containing the same ideal: 175
  229. Fri Oct 2 17:33:19 2026 removing 7703559 relations and 5703559 ideals in 2000000 cliques
  230. Fri Oct 2 17:33:23 2026 commencing in-memory singleton removal
  231. Fri Oct 2 17:33:26 2026 begin with 226579846 relations and 195258531 unique ideals
  232. Fri Oct 2 17:33:41 2026 reduce to 226371735 relations and 189345226 ideals in 8 passes
  233. Fri Oct 2 17:33:41 2026 max relations containing the same ideal: 171
  234. Fri Oct 2 17:34:37 2026 removing 7622632 relations and 5622632 ideals in 2000000 cliques
  235. Fri Oct 2 17:34:40 2026 commencing in-memory singleton removal
  236. Fri Oct 2 17:34:44 2026 begin with 218749103 relations and 189345226 unique ideals
  237. Fri Oct 2 17:34:53 2026 reduce to 218539760 relations and 183511524 ideals in 7 passes
  238. Fri Oct 2 17:34:53 2026 max relations containing the same ideal: 169
  239. Fri Oct 2 17:35:48 2026 removing 7557413 relations and 5557413 ideals in 2000000 cliques
  240. Fri Oct 2 17:35:52 2026 commencing in-memory singleton removal
  241. Fri Oct 2 17:35:55 2026 begin with 210982347 relations and 183511524 unique ideals
  242. Fri Oct 2 17:36:09 2026 reduce to 210769227 relations and 177739231 ideals in 8 passes
  243. Fri Oct 2 17:36:09 2026 max relations containing the same ideal: 165
  244. Fri Oct 2 17:37:05 2026 removing 7508724 relations and 5508724 ideals in 2000000 cliques
  245. Fri Oct 2 17:37:09 2026 commencing in-memory singleton removal
  246. Fri Oct 2 17:37:12 2026 begin with 203260503 relations and 177739231 unique ideals
  247. Fri Oct 2 17:37:21 2026 reduce to 203042956 relations and 172011073 ideals in 7 passes
  248. Fri Oct 2 17:37:21 2026 max relations containing the same ideal: 159
  249. Fri Oct 2 17:38:19 2026 removing 7474092 relations and 5474092 ideals in 2000000 cliques
  250. Fri Oct 2 17:38:23 2026 commencing in-memory singleton removal
  251. Fri Oct 2 17:38:26 2026 begin with 195568864 relations and 172011073 unique ideals
  252. Fri Oct 2 17:38:40 2026 reduce to 195344837 relations and 166310850 ideals in 8 passes
  253. Fri Oct 2 17:38:40 2026 max relations containing the same ideal: 155
  254. Fri Oct 2 17:39:32 2026 removing 7452309 relations and 5452309 ideals in 2000000 cliques
  255. Fri Oct 2 17:39:36 2026 commencing in-memory singleton removal
  256. Fri Oct 2 17:39:38 2026 begin with 187892528 relations and 166310850 unique ideals
  257. Fri Oct 2 17:39:47 2026 reduce to 187662800 relations and 160626630 ideals in 7 passes
  258. Fri Oct 2 17:39:47 2026 max relations containing the same ideal: 152
  259. Fri Oct 2 17:40:37 2026 removing 7440088 relations and 5440088 ideals in 2000000 cliques
  260. Fri Oct 2 17:40:40 2026 commencing in-memory singleton removal
  261. Fri Oct 2 17:40:42 2026 begin with 180222712 relations and 160626630 unique ideals
  262. Fri Oct 2 17:40:50 2026 reduce to 179985209 relations and 154946680 ideals in 7 passes
  263. Fri Oct 2 17:40:50 2026 max relations containing the same ideal: 150
  264. Fri Oct 2 17:41:40 2026 removing 7436672 relations and 5436672 ideals in 2000000 cliques
  265. Fri Oct 2 17:41:44 2026 commencing in-memory singleton removal
  266. Fri Oct 2 17:41:43 2026 begin with 172548537 relations and 154946680 unique ideals
  267. Fri Oct 2 17:41:54 2026 reduce to 172301224 relations and 149260111 ideals in 7 passes
  268. Fri Oct 2 17:41:54 2026 max relations containing the same ideal: 148
  269. Fri Oct 2 17:42:44 2026 removing 7445954 relations and 5445954 ideals in 2000000 cliques
  270. Fri Oct 2 17:42:45 2026 commencing in-memory singleton removal
  271. Fri Oct 2 17:42:47 2026 begin with 164855270 relations and 149260111 unique ideals
  272. Fri Oct 2 17:42:57 2026 reduce to 164598192 relations and 143554305 ideals in 7 passes
  273. Fri Oct 2 17:42:57 2026 max relations containing the same ideal: 144
  274. Fri Oct 2 17:43:43 2026 removing 7466502 relations and 5466502 ideals in 2000000 cliques
  275. Fri Oct 2 17:43:44 2026 commencing in-memory singleton removal
  276. Fri Oct 2 17:43:46 2026 begin with 157131690 relations and 143554305 unique ideals
  277. Fri Oct 2 17:43:54 2026 reduce to 156861385 relations and 137814424 ideals in 6 passes
  278. Fri Oct 2 17:43:54 2026 max relations containing the same ideal: 138
  279. Fri Oct 2 17:44:37 2026 removing 7487194 relations and 5487194 ideals in 2000000 cliques
  280. Fri Oct 2 17:44:40 2026 commencing in-memory singleton removal
  281. Fri Oct 2 17:44:42 2026 begin with 149374191 relations and 137814424 unique ideals
  282. Fri Oct 2 17:44:48 2026 reduce to 149090144 relations and 132039784 ideals in 7 passes
  283. Fri Oct 2 17:44:48 2026 max relations containing the same ideal: 134
  284. Fri Oct 2 17:45:29 2026 removing 7526725 relations and 5526725 ideals in 2000000 cliques
  285. Fri Oct 2 17:45:32 2026 commencing in-memory singleton removal
  286. Fri Oct 2 17:45:34 2026 begin with 141563419 relations and 132039784 unique ideals
  287. Fri Oct 2 17:45:43 2026 reduce to 141260435 relations and 126206458 ideals in 7 passes
  288. Fri Oct 2 17:45:43 2026 max relations containing the same ideal: 126
  289. Fri Oct 2 17:46:21 2026 removing 7576166 relations and 5576166 ideals in 2000000 cliques
  290. Fri Oct 2 17:46:24 2026 commencing in-memory singleton removal
  291. Fri Oct 2 17:46:26 2026 begin with 133684269 relations and 126206458 unique ideals
  292. Fri Oct 2 17:46:34 2026 reduce to 133361134 relations and 120303108 ideals in 7 passes
  293. Fri Oct 2 17:46:34 2026 max relations containing the same ideal: 121
  294. Fri Oct 2 17:47:11 2026 removing 7638141 relations and 5638141 ideals in 2000000 cliques
  295. Fri Oct 2 17:47:14 2026 commencing in-memory singleton removal
  296. Fri Oct 2 17:47:13 2026 begin with 125722993 relations and 120303108 unique ideals
  297. Fri Oct 2 17:47:20 2026 reduce to 125378217 relations and 114315602 ideals in 7 passes
  298. Fri Oct 2 17:47:20 2026 max relations containing the same ideal: 116
  299. Fri Oct 2 17:47:56 2026 removing 7707570 relations and 5707570 ideals in 2000000 cliques
  300. Fri Oct 2 17:47:58 2026 commencing in-memory singleton removal
  301. Fri Oct 2 17:48:00 2026 begin with 117670647 relations and 114315602 unique ideals
  302. Fri Oct 2 17:48:06 2026 reduce to 117297280 relations and 108229604 ideals in 7 passes
  303. Fri Oct 2 17:48:06 2026 max relations containing the same ideal: 112
  304. Fri Oct 2 17:48:40 2026 removing 7792116 relations and 5792116 ideals in 2000000 cliques
  305. Fri Oct 2 17:48:42 2026 commencing in-memory singleton removal
  306. Fri Oct 2 17:48:43 2026 begin with 109505164 relations and 108229604 unique ideals
  307. Fri Oct 2 17:48:47 2026 reduce to 109099198 relations and 102025562 ideals in 7 passes
  308. Fri Oct 2 17:48:47 2026 max relations containing the same ideal: 111
  309. Fri Oct 2 17:49:17 2026 removing 7896039 relations and 5896039 ideals in 2000000 cliques
  310. Fri Oct 2 17:49:20 2026 commencing in-memory singleton removal
  311. Fri Oct 2 17:49:21 2026 begin with 101203159 relations and 102025562 unique ideals
  312. Fri Oct 2 17:49:26 2026 reduce to 100755053 relations and 95674425 ideals in 7 passes
  313. Fri Oct 2 17:49:26 2026 max relations containing the same ideal: 104
  314. Fri Oct 2 17:49:54 2026 removing 8025196 relations and 6025196 ideals in 2000000 cliques
  315. Fri Oct 2 17:49:56 2026 commencing in-memory singleton removal
  316. Fri Oct 2 17:49:57 2026 begin with 92729857 relations and 95674425 unique ideals
  317. Fri Oct 2 17:50:03 2026 reduce to 92226344 relations and 89137397 ideals in 8 passes
  318. Fri Oct 2 17:50:03 2026 max relations containing the same ideal: 101
  319. Fri Oct 2 17:50:30 2026 removing 5314920 relations and 4143782 ideals in 1171138 cliques
  320. Fri Oct 2 17:50:31 2026 commencing in-memory singleton removal
  321. Fri Oct 2 17:50:33 2026 begin with 86911424 relations and 89137397 unique ideals
  322. Fri Oct 2 17:50:38 2026 reduce to 86683349 relations and 84763069 ideals in 8 passes
  323. Fri Oct 2 17:50:38 2026 max relations containing the same ideal: 98
  324. Fri Oct 2 17:51:04 2026 trying target density 110
  325. Fri Oct 2 17:51:11 2026 relations with 0 large ideals: 6240
  326. Fri Oct 2 17:51:11 2026 relations with 1 large ideals: 23020
  327. Fri Oct 2 17:51:11 2026 relations with 2 large ideals: 357559
  328. Fri Oct 2 17:51:11 2026 relations with 3 large ideals: 2361202
  329. Fri Oct 2 17:51:11 2026 relations with 4 large ideals: 8372019
  330. Fri Oct 2 17:51:11 2026 relations with 5 large ideals: 17771231
  331. Fri Oct 2 17:51:11 2026 relations with 6 large ideals: 23628407
  332. Fri Oct 2 17:51:11 2026 relations with 7+ large ideals: 34163671
  333. Fri Oct 2 17:51:11 2026 commencing 2-way merge
  334. Fri Oct 2 17:51:48 2026 reduce to 54140937 relation sets and 52220657 unique ideals
  335. Fri Oct 2 17:51:48 2026 commencing full merge
  336. Fri Oct 2 18:04:32 2026 memory use: 6452.5 MB
  337. Fri Oct 2 18:04:37 2026 found 25378646 cycles, need 25154857
  338. Fri Oct 2 18:04:43 2026 weight of 25154857 cycles is about 2767682205 (110.03/cycle)
  339. Fri Oct 2 18:04:43 2026 distribution of cycle lengths:
  340. Fri Oct 2 18:04:43 2026 1 relations: 1836376
  341. Fri Oct 2 18:04:43 2026 2 relations: 1997214
  342. Fri Oct 2 18:04:43 2026 3 relations: 2092941
  343. Fri Oct 2 18:04:43 2026 4 relations: 2054803
  344. Fri Oct 2 18:04:43 2026 5 relations: 2028423
  345. Fri Oct 2 18:04:43 2026 6 relations: 1965100
  346. Fri Oct 2 18:04:43 2026 7 relations: 1894228
  347. Fri Oct 2 18:04:43 2026 8 relations: 1774654
  348. Fri Oct 2 18:04:43 2026 9 relations: 1626532
  349. Fri Oct 2 18:04:43 2026 10+ relations: 7884586
  350. Fri Oct 2 18:04:43 2026 heaviest cycle: 26 relations
  351. Fri Oct 2 18:04:45 2026 commencing cycle optimization
  352. Fri Oct 2 18:05:25 2026 start with 189793392 relations
  353. Fri Oct 2 18:09:59 2026 pruned 6934400 relations
  354. Fri Oct 2 18:10:01 2026 memory use: 5514.9 MB
  355. Fri Oct 2 18:10:01 2026 distribution of cycle lengths:
  356. Fri Oct 2 18:10:01 2026 1 relations: 1836376
  357. Fri Oct 2 18:10:01 2026 2 relations: 2046078
  358. Fri Oct 2 18:10:01 2026 3 relations: 2176066
  359. Fri Oct 2 18:10:01 2026 4 relations: 2126917
  360. Fri Oct 2 18:10:01 2026 5 relations: 2111688
  361. Fri Oct 2 18:10:01 2026 6 relations: 2039240
  362. Fri Oct 2 18:10:01 2026 7 relations: 1968663
  363. Fri Oct 2 18:10:01 2026 8 relations: 1833173
  364. Fri Oct 2 18:10:01 2026 9 relations: 1674069
  365. Fri Oct 2 18:10:01 2026 10+ relations: 7342587
  366. Fri Oct 2 18:10:01 2026 heaviest cycle: 25 relations
  367. Fri Oct 2 18:10:46 2026 trying target density 130
  368. Fri Oct 2 18:10:50 2026 relations with 0 large ideals: 6240
  369. Fri Oct 2 18:10:50 2026 relations with 1 large ideals: 23020
  370. Fri Oct 2 18:10:50 2026 relations with 2 large ideals: 357559
  371. Fri Oct 2 18:10:50 2026 relations with 3 large ideals: 2361202
  372. Fri Oct 2 18:10:50 2026 relations with 4 large ideals: 8372019
  373. Fri Oct 2 18:10:50 2026 relations with 5 large ideals: 17771231
  374. Fri Oct 2 18:10:50 2026 relations with 6 large ideals: 23628407
  375. Fri Oct 2 18:10:50 2026 relations with 7+ large ideals: 34163671
  376. Fri Oct 2 18:10:50 2026 commencing 2-way merge
  377. Fri Oct 2 18:11:26 2026 reduce to 54140937 relation sets and 52220657 unique ideals
  378. Fri Oct 2 18:11:26 2026 commencing full merge
  379. Fri Oct 2 18:26:49 2026 memory use: 6581.8 MB
  380. Fri Oct 2 18:26:55 2026 found 23948818 cycles, need 23854857
  381. Fri Oct 2 18:26:59 2026 weight of 23854857 cycles is about 3101204664 (130.00/cycle)
  382. Fri Oct 2 18:26:59 2026 distribution of cycle lengths:
  383. Fri Oct 2 18:26:59 2026 1 relations: 1314464
  384. Fri Oct 2 18:26:59 2026 2 relations: 1562132
  385. Fri Oct 2 18:26:59 2026 3 relations: 1679484
  386. Fri Oct 2 18:26:59 2026 4 relations: 1664337
  387. Fri Oct 2 18:26:59 2026 5 relations: 1674472
  388. Fri Oct 2 18:26:59 2026 6 relations: 1631035
  389. Fri Oct 2 18:26:59 2026 7 relations: 1616454
  390. Fri Oct 2 18:26:59 2026 8 relations: 1540918
  391. Fri Oct 2 18:26:59 2026 9 relations: 1478230
  392. Fri Oct 2 18:26:59 2026 10+ relations: 9693331
  393. Fri Oct 2 18:26:59 2026 heaviest cycle: 28 relations
  394. Fri Oct 2 18:27:02 2026 commencing cycle optimization
  395. Fri Oct 2 18:27:43 2026 start with 211877329 relations
  396. Fri Oct 2 18:33:31 2026 pruned 9114453 relations
  397. Fri Oct 2 18:33:31 2026 memory use: 5739.4 MB
  398. Fri Oct 2 18:33:31 2026 distribution of cycle lengths:
  399. Fri Oct 2 18:33:31 2026 1 relations: 1314464
  400. Fri Oct 2 18:33:31 2026 2 relations: 1601507
  401. Fri Oct 2 18:33:31 2026 3 relations: 1748662
  402. Fri Oct 2 18:33:31 2026 4 relations: 1728092
  403. Fri Oct 2 18:33:31 2026 5 relations: 1749276
  404. Fri Oct 2 18:33:31 2026 6 relations: 1703174
  405. Fri Oct 2 18:33:31 2026 7 relations: 1690689
  406. Fri Oct 2 18:33:31 2026 8 relations: 1610609
  407. Fri Oct 2 18:33:31 2026 9 relations: 1540992
  408. Fri Oct 2 18:33:31 2026 10+ relations: 9167392
  409. Fri Oct 2 18:33:31 2026 heaviest cycle: 28 relations
  410. Fri Oct 2 18:34:11 2026 trying target density 140
  411. Fri Oct 2 18:34:17 2026 relations with 0 large ideals: 6240
  412. Fri Oct 2 18:34:17 2026 relations with 1 large ideals: 23020
  413. Fri Oct 2 18:34:17 2026 relations with 2 large ideals: 357559
  414. Fri Oct 2 18:34:17 2026 relations with 3 large ideals: 2361202
  415. Fri Oct 2 18:34:17 2026 relations with 4 large ideals: 8372019
  416. Fri Oct 2 18:34:17 2026 relations with 5 large ideals: 17771231
  417. Fri Oct 2 18:34:17 2026 relations with 6 large ideals: 23628407
  418. Fri Oct 2 18:34:17 2026 relations with 7+ large ideals: 34163671
  419. Fri Oct 2 18:34:17 2026 commencing 2-way merge
  420. Fri Oct 2 18:34:52 2026 reduce to 54140937 relation sets and 52220657 unique ideals
  421. Fri Oct 2 18:34:52 2026 commencing full merge
  422. Fri Oct 2 19:04:59 2026 memory use: 2422.9 MB
  423. Fri Oct 2 19:04:59 2026 found 104191 cycles, need 11719483
  424. Fri Oct 2 19:04:59 2026 too few cycles, matrix probably cannot build
  425. Fri Oct 2 19:05:01 2026 RelProcTime: 10024
  426. Fri Oct 2 19:05:02 2026
  427. Fri Oct 2 19:05:02 2026 commencing linear algebra
  428. Fri Oct 2 19:05:02 2026 using VBITS=128
  429. Fri Oct 2 19:05:02 2026 building matrices for all densities
  430. Fri Oct 2 19:05:02 2026 found 2 density files
  431. Fri Oct 2 19:05:02 2026 building matrix for density 110
  432. Fri Oct 2 19:05:08 2026 read 25154857 cycles
  433. Fri Oct 2 19:05:44 2026 cycles contain 85556253 unique relations
  434. Fri Oct 2 19:12:43 2026 read 85556253 relations
  435. Fri Oct 2 19:13:05 2026 using 20 quadratic characters above 4294917295
  436. Fri Oct 2 19:13:28 2026 building initial matrix
  437. Fri Oct 2 19:28:29 2026 memory use: 12026.7 MB
  438. Fri Oct 2 19:29:15 2026 read 25154857 cycles
  439. Fri Oct 2 19:29:19 2026 matrix is 25154679 x 25154857 (11020.9 MB) with weight 3360028851 (133.57/col)
  440. Fri Oct 2 19:29:19 2026 sparse part has weight 2612369486 (103.85/col)
  441. Fri Oct 2 19:32:22 2026 filtering completed in 2 passes
  442. Fri Oct 2 19:32:26 2026 matrix is 25152517 x 25152695 (11020.7 MB) with weight 3359936051 (133.58/col)
  443. Fri Oct 2 19:32:26 2026 sparse part has weight 2612341769 (103.86/col)
  444. Fri Oct 2 19:33:33 2026 building matrix for density 130
  445. Fri Oct 2 19:33:38 2026 read 23854857 cycles
  446. Fri Oct 2 19:34:18 2026 cycles contain 85561011 unique relations
  447. Fri Oct 2 19:42:26 2026 read 85561011 relations
  448. Fri Oct 2 19:42:53 2026 using 20 quadratic characters above 4294917295
  449. Fri Oct 2 19:43:18 2026 building initial matrix
  450. Fri Oct 2 20:00:16 2026 memory use: 12063.5 MB
  451. Fri Oct 2 20:01:05 2026 read 23854857 cycles
  452. Fri Oct 2 20:01:08 2026 matrix is 23854678 x 23854857 (12023.8 MB) with weight 3633171776 (152.30/col)
  453. Fri Oct 2 20:01:08 2026 sparse part has weight 2889564666 (121.13/col)
  454. Fri Oct 2 20:04:11 2026 filtering completed in 2 passes
  455. Fri Oct 2 20:04:16 2026 matrix is 23854065 x 23854244 (12023.7 MB) with weight 3633143670 (152.31/col)
  456. Fri Oct 2 20:04:16 2026 sparse part has weight 2889556517 (121.13/col)
  457. Fri Oct 2 20:05:37 2026 BLanczosTime: 3635
  458. Fri Oct 2 20:05:37 2026 elapsed time 03:47:40
  459. Fri Oct 2 21:37:17 2026
  460. Fri Oct 2 21:37:17 2026
  461. Fri Oct 2 21:37:17 2026 Msieve v. 1.54 (SVN unknown)
  462. Fri Oct 2 21:37:17 2026 random seeds: 568d761b 58b9cffa
  463. Fri Oct 2 21:37:17 2026 Using 8 OpenMP threads
  464. Fri Oct 2 21:37:17 2026 factoring 4566453843351688011397680617151525013604144867331687093425208155739305988231100047644555734235468137074048585593866178226276343427685891713374965529478215015079640231208006952909663548976531 (190 digits)
  465. Fri Oct 2 21:37:17 2026 no P-1/P+1/ECM available, skipping
  466. Fri Oct 2 21:37:17 2026 commencing number field sieve (190-digit input)
  467. Fri Oct 2 21:37:17 2026 R0: -5310606826522185343511740641022976315
  468. Fri Oct 2 21:37:17 2026 R1: 166176042742922184046483
  469. Fri Oct 2 21:37:17 2026 A0: 554384699719395618227488545936228055602048
  470. Fri Oct 2 21:37:17 2026 A1: 265719281884287562844385370377990386
  471. Fri Oct 2 21:37:17 2026 A2: -51866293445676659963387934443
  472. Fri Oct 2 21:37:17 2026 A3: -1368949796571468571774
  473. Fri Oct 2 21:37:17 2026 A4: 352477345416264
  474. Fri Oct 2 21:37:17 2026 A5: 9729720
  475. Fri Oct 2 21:37:17 2026 skew 9664677.15, size 2.098e-18, alpha -6.081, combined = 2.843e-14 rroots = 3
  476. Fri Oct 2 21:37:17 2026
  477. Fri Oct 2 21:37:17 2026 commencing linear algebra
  478. Fri Oct 2 21:37:17 2026 using VBITS=128
  479. Fri Oct 2 21:37:17 2026 selecting density 110 for linear algebra
  480. Fri Oct 2 21:37:37 2026 matrix starts at (0, 0)
  481. Fri Oct 2 21:37:39 2026 matrix is 25152517 x 25152695 (11020.7 MB) with weight 3359936051 (133.58/col)
  482. Fri Oct 2 21:37:39 2026 sparse part has weight 2612341769 (103.86/col)
  483. Fri Oct 2 21:37:39 2026 saving the first 112 matrix rows for later
  484. Fri Oct 2 21:37:44 2026 matrix includes 128 packed rows
  485. Fri Oct 2 21:37:47 2026 matrix is 25152405 x 25152695 (10318.0 MB) with weight 2570102846 (102.18/col)
  486. Fri Oct 2 21:37:47 2026 sparse part has weight 2402981751 (95.54/col)
  487. Fri Oct 2 21:37:48 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  488. Fri Oct 2 21:37:48 2026 selected card has CUDA arch 12.0
  489. Fri Oct 2 21:37:49 2026 storing a single copy of the matrix (no transpose) on the GPU
  490. Fri Oct 2 21:37:49 2026 computed block_nnz 100176501 (L2 cache 50331648 bytes, average column weight 95.5)
  491. Fri Oct 2 21:37:49 2026 nonzeros per matrix block: 100176501
  492. Fri Oct 2 21:37:49 2026 SpMV kernel: auto (by nonzeros per row)
  493. Fri Oct 2 21:37:49 2026 GPU memory: 11015 MB free, 2687 MB for vectors, 7689 MB for sparse matrix blocks (11565 MB needed)
  494. Fri Oct 2 21:40:24 2026 streaming 12 of 24 matrix blocks (5732 MB) from pinned host memory through 3 478 MB buffers
  495. Fri Oct 2 21:40:24 2026 commencing Lanczos iteration
  496. Fri Oct 2 21:40:28 2026 memory use: 10241.8 MB
  497. Fri Oct 2 21:41:29 2026 linear algebra at 0.1%, ETA 12h 6m
  498. Fri Oct 2 21:41:44 2026 checking every 30000 dimensions, checkpointing every 2040000 dimensions
  499. Sat Oct 3 09:25:34 2026 lanczos halted after 197688 iterations (dim = 25152405)
  500. Sat Oct 3 09:26:08 2026 recovered 32 nontrivial dependencies
  501. Sat Oct 3 09:26:12 2026 BLanczosTime: 42535
  502. Sat Oct 3 09:26:12 2026
  503. Sat Oct 3 09:26:12 2026 commencing square root phase
  504. Sat Oct 3 09:26:12 2026 handling dependencies 1 to 64
  505. Sat Oct 3 09:26:12 2026 reading relations for dependency 1
  506. Sat Oct 3 09:28:01 2026 read 12573791 cycles
  507. Sat Oct 3 09:28:19 2026 cycles contain 42771180 unique relations
  508. Sat Oct 3 09:38:00 2026 read 42771180 relations
  509. Sat Oct 3 09:43:33 2026 multiplying 42771180 relations
  510. Sat Oct 3 09:48:16 2026 multiply complete, coefficients have about 2660.69 million bits
  511. Sat Oct 3 09:48:21 2026 initial square root is modulo 928051
  512. Sat Oct 3 09:57:30 2026 sqrtTime: 1878
  513. Sat Oct 3 09:57:30 2026 p89 factor: 19901512403406438387351193666216738427586966484116088353155137281536276542569993853136101
  514. Sat Oct 3 09:57:30 2026 p102 factor: 229452603942305000561209761564467241013824305935474393062310508937841140672102605354368101742573617431
  515. Sat Oct 3 09:57:30 2026 elapsed time 12:20:13
  516.  
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