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  1. Mon Feb 2 14:27:38 2026 Msieve v. 1.54 (SVN 573b9ef)
  2. Mon Feb 2 14:27:38 2026 random seeds: 3409818b 6416f5a2
  3. Mon Feb 2 14:27:38 2026 Using 32 OpenMP threads
  4. Mon Feb 2 14:27:38 2026 factoring 721485041965201132417265001819009151900911716356178265690897918823148417082575922804346702784228175280522980266617107051985411350069577766410862906279319052393103380413048163981998015585442977296154824325705447202393205499924794099008599724517436231535553227 (258 digits)
  5. Mon Feb 2 14:27:39 2026 no P-1/P+1/ECM available, skipping
  6. Mon Feb 2 14:27:39 2026 commencing number field sieve (258-digit input)
  7. Mon Feb 2 14:27:39 2026 R0: 2699302794582910996440074437437656779
  8. Mon Feb 2 14:27:39 2026 R1: -15768992641913974546028874232435337927545847808
  9. Mon Feb 2 14:27:39 2026 A0: 102
  10. Mon Feb 2 14:27:39 2026 A1: 0
  11. Mon Feb 2 14:27:39 2026 A2: 0
  12. Mon Feb 2 14:27:39 2026 A3: 0
  13. Mon Feb 2 14:27:39 2026 A4: 0
  14. Mon Feb 2 14:27:39 2026 A5: 0
  15. Mon Feb 2 14:27:39 2026 A6: 1
  16. Mon Feb 2 14:27:39 2026 skew 2.16, size 7.356e-14, alpha 1.596, combined = 1.630e-14 rroots = 0
  17. Mon Feb 2 14:27:39 2026
  18. Mon Feb 2 14:27:39 2026 commencing relation filtering
  19. Mon Feb 2 14:27:39 2026 setting target matrix density to 110.0
  20. Mon Feb 2 14:27:39 2026 estimated available RAM is 128740.1 MB
  21. Mon Feb 2 14:27:39 2026 commencing duplicate removal, pass 1
  22. Mon Feb 2 14:28:39 2026 error -11 reading relation 39459370
  23. Mon Feb 2 14:33:47 2026 error -5 reading relation 255880109
  24. Mon Feb 2 14:34:20 2026 error -1 reading relation 278996647
  25. Mon Feb 2 14:34:22 2026 error -11 reading relation 280656985
  26. Mon Feb 2 14:36:13 2026 error -15 reading relation 362059966
  27. Mon Feb 2 14:36:43 2026 error -11 reading relation 385406768
  28. Mon Feb 2 14:38:06 2026 error -15 reading relation 444640831
  29. Mon Feb 2 14:38:33 2026 error -1 reading relation 463979428
  30. Mon Feb 2 14:38:55 2026 error -11 reading relation 480024085
  31. Mon Feb 2 14:38:57 2026 error -11 reading relation 481075465
  32. Mon Feb 2 14:40:19 2026 error -6 reading relation 539870909
  33. Mon Feb 2 14:40:22 2026 error -11 reading relation 542441220
  34. Mon Feb 2 14:40:48 2026 skipped 3314 relations with b > 2^32
  35. Mon Feb 2 14:40:48 2026 skipped 5 malformed relations
  36. Mon Feb 2 14:40:48 2026 found 33728078 hash collisions in 561751581 relations
  37. Mon Feb 2 14:41:01 2026 added 1219193 free relations
  38. Mon Feb 2 14:41:01 2026 commencing duplicate removal, pass 2
  39. Mon Feb 2 14:43:22 2026 found 0 duplicates and 562970774 unique relations
  40. Mon Feb 2 14:43:22 2026 memory use: 1705.5 MB
  41. Mon Feb 2 14:43:22 2026 reading ideals above 449904640
  42. Mon Feb 2 14:43:22 2026 commencing singleton removal, initial pass
  43. Mon Feb 2 14:59:05 2026 memory use: 11024.0 MB
  44. Mon Feb 2 14:59:05 2026 reading all ideals from disk
  45. Mon Feb 2 14:59:09 2026 memory use: 14033.1 MB
  46. Mon Feb 2 14:59:30 2026 commencing in-memory singleton removal
  47. Mon Feb 2 14:59:34 2026 begin with 562970774 relations and 433374154 unique ideals
  48. Mon Feb 2 15:00:06 2026 reduce to 431205665 relations and 296591249 ideals in 14 passes
  49. Mon Feb 2 15:00:06 2026 max relations containing the same ideal: 40
  50. Mon Feb 2 15:00:18 2026 reading ideals above 720000
  51. Mon Feb 2 15:00:18 2026 commencing singleton removal, initial pass
  52. Mon Feb 2 15:25:34 2026 memory use: 11024.0 MB
  53. Mon Feb 2 15:25:35 2026 reading all ideals from disk
  54. Mon Feb 2 15:25:45 2026 memory use: 21890.2 MB
  55. Mon Feb 2 15:26:18 2026 keeping 342039783 ideals with weight <= 200, target excess is 2247899
  56. Mon Feb 2 15:27:10 2026 commencing in-memory singleton removal
  57. Mon Feb 2 15:27:17 2026 begin with 431205665 relations and 342039783 unique ideals
  58. Mon Feb 2 15:28:04 2026 reduce to 431193077 relations and 342027195 ideals in 12 passes
  59. Mon Feb 2 15:28:04 2026 max relations containing the same ideal: 200
  60. Mon Feb 2 15:30:12 2026 removing 14254905 relations and 12254905 ideals in 2000000 cliques
  61. Mon Feb 2 15:30:22 2026 commencing in-memory singleton removal
  62. Mon Feb 2 15:30:29 2026 begin with 416938172 relations and 342027195 unique ideals
  63. Mon Feb 2 15:31:00 2026 reduce to 416607835 relations and 329439768 ideals in 8 passes
  64. Mon Feb 2 15:31:00 2026 max relations containing the same ideal: 200
  65. Mon Feb 2 15:32:55 2026 removing 10778395 relations and 8778395 ideals in 2000000 cliques
  66. Mon Feb 2 15:33:05 2026 commencing in-memory singleton removal
  67. Mon Feb 2 15:33:11 2026 begin with 405829440 relations and 329439768 unique ideals
  68. Mon Feb 2 15:33:41 2026 reduce to 405618462 relations and 320449178 ideals in 8 passes
  69. Mon Feb 2 15:33:41 2026 max relations containing the same ideal: 200
  70. Mon Feb 2 15:35:31 2026 removing 9664989 relations and 7664989 ideals in 2000000 cliques
  71. Mon Feb 2 15:35:40 2026 commencing in-memory singleton removal
  72. Mon Feb 2 15:35:47 2026 begin with 395953473 relations and 320449178 unique ideals
  73. Mon Feb 2 15:36:12 2026 reduce to 395773128 relations and 312602904 ideals in 7 passes
  74. Mon Feb 2 15:36:12 2026 max relations containing the same ideal: 198
  75. Mon Feb 2 15:37:59 2026 removing 9027835 relations and 7027835 ideals in 2000000 cliques
  76. Mon Feb 2 15:38:08 2026 commencing in-memory singleton removal
  77. Mon Feb 2 15:38:14 2026 begin with 386745293 relations and 312602904 unique ideals
  78. Mon Feb 2 15:38:39 2026 reduce to 386581853 relations and 305410801 ideals in 7 passes
  79. Mon Feb 2 15:38:39 2026 max relations containing the same ideal: 195
  80. Mon Feb 2 15:40:24 2026 removing 8593617 relations and 6593617 ideals in 2000000 cliques
  81. Mon Feb 2 15:40:33 2026 commencing in-memory singleton removal
  82. Mon Feb 2 15:40:39 2026 begin with 377988236 relations and 305410801 unique ideals
  83. Mon Feb 2 15:41:01 2026 reduce to 377834960 relations and 298663104 ideals in 6 passes
  84. Mon Feb 2 15:41:01 2026 max relations containing the same ideal: 194
  85. Mon Feb 2 15:42:45 2026 removing 8272515 relations and 6272515 ideals in 2000000 cliques
  86. Mon Feb 2 15:42:54 2026 commencing in-memory singleton removal
  87. Mon Feb 2 15:43:00 2026 begin with 369562445 relations and 298663104 unique ideals
  88. Mon Feb 2 15:43:23 2026 reduce to 369416394 relations and 292243759 ideals in 6 passes
  89. Mon Feb 2 15:43:23 2026 max relations containing the same ideal: 193
  90. Mon Feb 2 15:45:10 2026 removing 8031917 relations and 6031917 ideals in 2000000 cliques
  91. Mon Feb 2 15:45:19 2026 commencing in-memory singleton removal
  92. Mon Feb 2 15:45:25 2026 begin with 361384477 relations and 292243759 unique ideals
  93. Mon Feb 2 15:45:54 2026 reduce to 361242945 relations and 286069562 ideals in 7 passes
  94. Mon Feb 2 15:45:54 2026 max relations containing the same ideal: 189
  95. Mon Feb 2 15:47:45 2026 removing 7837828 relations and 5837828 ideals in 2000000 cliques
  96. Mon Feb 2 15:47:53 2026 commencing in-memory singleton removal
  97. Mon Feb 2 15:48:00 2026 begin with 353405117 relations and 286069562 unique ideals
  98. Mon Feb 2 15:48:27 2026 reduce to 353267726 relations and 280093597 ideals in 7 passes
  99. Mon Feb 2 15:48:27 2026 max relations containing the same ideal: 189
  100. Mon Feb 2 15:50:10 2026 removing 7679041 relations and 5679041 ideals in 2000000 cliques
  101. Mon Feb 2 15:50:19 2026 commencing in-memory singleton removal
  102. Mon Feb 2 15:50:25 2026 begin with 345588685 relations and 280093597 unique ideals
  103. Mon Feb 2 15:50:47 2026 reduce to 345452270 relations and 274277417 ideals in 6 passes
  104. Mon Feb 2 15:50:47 2026 max relations containing the same ideal: 186
  105. Mon Feb 2 15:52:23 2026 removing 7552538 relations and 5552538 ideals in 2000000 cliques
  106. Mon Feb 2 15:52:31 2026 commencing in-memory singleton removal
  107. Mon Feb 2 15:52:36 2026 begin with 337899732 relations and 274277417 unique ideals
  108. Mon Feb 2 15:52:55 2026 reduce to 337765431 relations and 268589783 ideals in 6 passes
  109. Mon Feb 2 15:52:55 2026 max relations containing the same ideal: 184
  110. Mon Feb 2 15:54:27 2026 removing 7437658 relations and 5437658 ideals in 2000000 cliques
  111. Mon Feb 2 15:54:35 2026 commencing in-memory singleton removal
  112. Mon Feb 2 15:54:41 2026 begin with 330327773 relations and 268589783 unique ideals
  113. Mon Feb 2 15:55:02 2026 reduce to 330194678 relations and 263018225 ideals in 7 passes
  114. Mon Feb 2 15:55:02 2026 max relations containing the same ideal: 181
  115. Mon Feb 2 15:56:32 2026 removing 7346955 relations and 5346955 ideals in 2000000 cliques
  116. Mon Feb 2 15:56:40 2026 commencing in-memory singleton removal
  117. Mon Feb 2 15:56:45 2026 begin with 322847723 relations and 263018225 unique ideals
  118. Mon Feb 2 15:57:06 2026 reduce to 322714377 relations and 257537114 ideals in 7 passes
  119. Mon Feb 2 15:57:06 2026 max relations containing the same ideal: 178
  120. Mon Feb 2 15:58:37 2026 removing 7266975 relations and 5266975 ideals in 2000000 cliques
  121. Mon Feb 2 15:58:44 2026 commencing in-memory singleton removal
  122. Mon Feb 2 15:58:50 2026 begin with 315447402 relations and 257537114 unique ideals
  123. Mon Feb 2 15:59:07 2026 reduce to 315313557 relations and 252135437 ideals in 6 passes
  124. Mon Feb 2 15:59:07 2026 max relations containing the same ideal: 176
  125. Mon Feb 2 16:00:35 2026 removing 7202919 relations and 5202919 ideals in 2000000 cliques
  126. Mon Feb 2 16:00:42 2026 commencing in-memory singleton removal
  127. Mon Feb 2 16:00:47 2026 begin with 308110638 relations and 252135437 unique ideals
  128. Mon Feb 2 16:01:04 2026 reduce to 307977437 relations and 246798449 ideals in 6 passes
  129. Mon Feb 2 16:01:04 2026 max relations containing the same ideal: 172
  130. Mon Feb 2 16:02:30 2026 removing 7143814 relations and 5143814 ideals in 2000000 cliques
  131. Mon Feb 2 16:02:37 2026 commencing in-memory singleton removal
  132. Mon Feb 2 16:02:42 2026 begin with 300833623 relations and 246798449 unique ideals
  133. Mon Feb 2 16:02:58 2026 reduce to 300699637 relations and 241519729 ideals in 6 passes
  134. Mon Feb 2 16:02:58 2026 max relations containing the same ideal: 171
  135. Mon Feb 2 16:04:22 2026 removing 7093618 relations and 5093618 ideals in 2000000 cliques
  136. Mon Feb 2 16:04:29 2026 commencing in-memory singleton removal
  137. Mon Feb 2 16:04:34 2026 begin with 293606019 relations and 241519729 unique ideals
  138. Mon Feb 2 16:04:50 2026 reduce to 293469968 relations and 236289090 ideals in 6 passes
  139. Mon Feb 2 16:04:50 2026 max relations containing the same ideal: 170
  140. Mon Feb 2 16:06:12 2026 removing 7052394 relations and 5052394 ideals in 2000000 cliques
  141. Mon Feb 2 16:06:18 2026 commencing in-memory singleton removal
  142. Mon Feb 2 16:06:23 2026 begin with 286417574 relations and 236289090 unique ideals
  143. Mon Feb 2 16:06:39 2026 reduce to 286280685 relations and 231098883 ideals in 6 passes
  144. Mon Feb 2 16:06:39 2026 max relations containing the same ideal: 165
  145. Mon Feb 2 16:07:59 2026 removing 7018592 relations and 5018592 ideals in 2000000 cliques
  146. Mon Feb 2 16:08:05 2026 commencing in-memory singleton removal
  147. Mon Feb 2 16:08:10 2026 begin with 279262093 relations and 231098883 unique ideals
  148. Mon Feb 2 16:08:26 2026 reduce to 279123793 relations and 225941048 ideals in 6 passes
  149. Mon Feb 2 16:08:26 2026 max relations containing the same ideal: 162
  150. Mon Feb 2 16:09:45 2026 removing 6987662 relations and 4987662 ideals in 2000000 cliques
  151. Mon Feb 2 16:09:51 2026 commencing in-memory singleton removal
  152. Mon Feb 2 16:09:55 2026 begin with 272136131 relations and 225941048 unique ideals
  153. Mon Feb 2 16:10:11 2026 reduce to 271997213 relations and 220813358 ideals in 6 passes
  154. Mon Feb 2 16:10:11 2026 max relations containing the same ideal: 159
  155. Mon Feb 2 16:11:26 2026 removing 6958475 relations and 4958475 ideals in 2000000 cliques
  156. Mon Feb 2 16:11:32 2026 commencing in-memory singleton removal
  157. Mon Feb 2 16:11:36 2026 begin with 265038738 relations and 220813358 unique ideals
  158. Mon Feb 2 16:11:53 2026 reduce to 264895376 relations and 215710382 ideals in 7 passes
  159. Mon Feb 2 16:11:53 2026 max relations containing the same ideal: 156
  160. Mon Feb 2 16:13:07 2026 removing 6941809 relations and 4941809 ideals in 2000000 cliques
  161. Mon Feb 2 16:13:13 2026 commencing in-memory singleton removal
  162. Mon Feb 2 16:13:17 2026 begin with 257953567 relations and 215710382 unique ideals
  163. Mon Feb 2 16:13:35 2026 reduce to 257808444 relations and 210622370 ideals in 7 passes
  164. Mon Feb 2 16:13:35 2026 max relations containing the same ideal: 154
  165. Mon Feb 2 16:14:49 2026 removing 6923963 relations and 4923963 ideals in 2000000 cliques
  166. Mon Feb 2 16:14:56 2026 commencing in-memory singleton removal
  167. Mon Feb 2 16:15:00 2026 begin with 250884481 relations and 210622370 unique ideals
  168. Mon Feb 2 16:15:18 2026 reduce to 250736155 relations and 205548817 ideals in 7 passes
  169. Mon Feb 2 16:15:18 2026 max relations containing the same ideal: 149
  170. Mon Feb 2 16:16:32 2026 removing 6912517 relations and 4912517 ideals in 2000000 cliques
  171. Mon Feb 2 16:16:39 2026 commencing in-memory singleton removal
  172. Mon Feb 2 16:16:43 2026 begin with 243823638 relations and 205548817 unique ideals
  173. Mon Feb 2 16:17:02 2026 reduce to 243672286 relations and 200483677 ideals in 7 passes
  174. Mon Feb 2 16:17:02 2026 max relations containing the same ideal: 148
  175. Mon Feb 2 16:18:17 2026 removing 6905273 relations and 4905273 ideals in 2000000 cliques
  176. Mon Feb 2 16:18:22 2026 commencing in-memory singleton removal
  177. Mon Feb 2 16:18:27 2026 begin with 236767013 relations and 200483677 unique ideals
  178. Mon Feb 2 16:18:45 2026 reduce to 236613284 relations and 195423313 ideals in 7 passes
  179. Mon Feb 2 16:18:45 2026 max relations containing the same ideal: 147
  180. Mon Feb 2 16:19:57 2026 removing 6896657 relations and 4896657 ideals in 2000000 cliques
  181. Mon Feb 2 16:20:03 2026 commencing in-memory singleton removal
  182. Mon Feb 2 16:20:07 2026 begin with 229716627 relations and 195423313 unique ideals
  183. Mon Feb 2 16:20:23 2026 reduce to 229559172 relations and 190367754 ideals in 6 passes
  184. Mon Feb 2 16:20:23 2026 max relations containing the same ideal: 143
  185. Mon Feb 2 16:21:30 2026 removing 6898554 relations and 4898554 ideals in 2000000 cliques
  186. Mon Feb 2 16:21:36 2026 commencing in-memory singleton removal
  187. Mon Feb 2 16:21:40 2026 begin with 222660618 relations and 190367754 unique ideals
  188. Mon Feb 2 16:21:53 2026 reduce to 222499518 relations and 185306644 ideals in 6 passes
  189. Mon Feb 2 16:21:53 2026 max relations containing the same ideal: 138
  190. Mon Feb 2 16:22:57 2026 removing 6895898 relations and 4895898 ideals in 2000000 cliques
  191. Mon Feb 2 16:23:02 2026 commencing in-memory singleton removal
  192. Mon Feb 2 16:23:06 2026 begin with 215603620 relations and 185306644 unique ideals
  193. Mon Feb 2 16:23:18 2026 reduce to 215438030 relations and 180243582 ideals in 6 passes
  194. Mon Feb 2 16:23:18 2026 max relations containing the same ideal: 135
  195. Mon Feb 2 16:24:19 2026 removing 6901234 relations and 4901234 ideals in 2000000 cliques
  196. Mon Feb 2 16:24:24 2026 commencing in-memory singleton removal
  197. Mon Feb 2 16:24:27 2026 begin with 208536796 relations and 180243582 unique ideals
  198. Mon Feb 2 16:24:39 2026 reduce to 208366197 relations and 175170059 ideals in 6 passes
  199. Mon Feb 2 16:24:39 2026 max relations containing the same ideal: 132
  200. Mon Feb 2 16:25:37 2026 removing 6907455 relations and 4907455 ideals in 2000000 cliques
  201. Mon Feb 2 16:25:43 2026 commencing in-memory singleton removal
  202. Mon Feb 2 16:25:46 2026 begin with 201458742 relations and 175170059 unique ideals
  203. Mon Feb 2 16:25:57 2026 reduce to 201283329 relations and 170085492 ideals in 6 passes
  204. Mon Feb 2 16:25:57 2026 max relations containing the same ideal: 130
  205. Mon Feb 2 16:26:53 2026 removing 6917983 relations and 4917983 ideals in 2000000 cliques
  206. Mon Feb 2 16:26:58 2026 commencing in-memory singleton removal
  207. Mon Feb 2 16:27:01 2026 begin with 194365346 relations and 170085492 unique ideals
  208. Mon Feb 2 16:27:12 2026 reduce to 194184298 relations and 164984591 ideals in 6 passes
  209. Mon Feb 2 16:27:12 2026 max relations containing the same ideal: 127
  210. Mon Feb 2 16:28:07 2026 removing 6926765 relations and 4926765 ideals in 2000000 cliques
  211. Mon Feb 2 16:28:12 2026 commencing in-memory singleton removal
  212. Mon Feb 2 16:28:15 2026 begin with 187257533 relations and 164984591 unique ideals
  213. Mon Feb 2 16:28:27 2026 reduce to 187070828 relations and 159869186 ideals in 7 passes
  214. Mon Feb 2 16:28:27 2026 max relations containing the same ideal: 125
  215. Mon Feb 2 16:29:19 2026 removing 6947117 relations and 4947117 ideals in 2000000 cliques
  216. Mon Feb 2 16:29:24 2026 commencing in-memory singleton removal
  217. Mon Feb 2 16:29:27 2026 begin with 180123711 relations and 159869186 unique ideals
  218. Mon Feb 2 16:29:38 2026 reduce to 179930828 relations and 154727110 ideals in 7 passes
  219. Mon Feb 2 16:29:38 2026 max relations containing the same ideal: 122
  220. Mon Feb 2 16:30:29 2026 removing 6965621 relations and 4965621 ideals in 2000000 cliques
  221. Mon Feb 2 16:30:34 2026 commencing in-memory singleton removal
  222. Mon Feb 2 16:30:36 2026 begin with 172965207 relations and 154727110 unique ideals
  223. Mon Feb 2 16:30:46 2026 reduce to 172764424 relations and 149558495 ideals in 6 passes
  224. Mon Feb 2 16:30:46 2026 max relations containing the same ideal: 119
  225. Mon Feb 2 16:31:35 2026 removing 6985668 relations and 4985668 ideals in 2000000 cliques
  226. Mon Feb 2 16:31:39 2026 commencing in-memory singleton removal
  227. Mon Feb 2 16:31:42 2026 begin with 165778756 relations and 149558495 unique ideals
  228. Mon Feb 2 16:31:51 2026 reduce to 165570833 relations and 144362550 ideals in 6 passes
  229. Mon Feb 2 16:31:51 2026 max relations containing the same ideal: 117
  230. Mon Feb 2 16:32:38 2026 removing 7011988 relations and 5011988 ideals in 2000000 cliques
  231. Mon Feb 2 16:32:43 2026 commencing in-memory singleton removal
  232. Mon Feb 2 16:32:45 2026 begin with 158558845 relations and 144362550 unique ideals
  233. Mon Feb 2 16:32:55 2026 reduce to 158343558 relations and 139132773 ideals in 7 passes
  234. Mon Feb 2 16:32:55 2026 max relations containing the same ideal: 114
  235. Mon Feb 2 16:33:40 2026 removing 7039351 relations and 5039351 ideals in 2000000 cliques
  236. Mon Feb 2 16:33:44 2026 commencing in-memory singleton removal
  237. Mon Feb 2 16:33:47 2026 begin with 151304207 relations and 139132773 unique ideals
  238. Mon Feb 2 16:33:56 2026 reduce to 151077234 relations and 133863715 ideals in 7 passes
  239. Mon Feb 2 16:33:56 2026 max relations containing the same ideal: 110
  240. Mon Feb 2 16:34:39 2026 removing 7069051 relations and 5069051 ideals in 2000000 cliques
  241. Mon Feb 2 16:34:43 2026 commencing in-memory singleton removal
  242. Mon Feb 2 16:34:46 2026 begin with 144008183 relations and 133863715 unique ideals
  243. Mon Feb 2 16:34:54 2026 reduce to 143770714 relations and 128554241 ideals in 6 passes
  244. Mon Feb 2 16:34:54 2026 max relations containing the same ideal: 106
  245. Mon Feb 2 16:35:35 2026 removing 7104531 relations and 5104531 ideals in 2000000 cliques
  246. Mon Feb 2 16:35:39 2026 commencing in-memory singleton removal
  247. Mon Feb 2 16:35:41 2026 begin with 136666183 relations and 128554241 unique ideals
  248. Mon Feb 2 16:35:50 2026 reduce to 136416411 relations and 123196821 ideals in 7 passes
  249. Mon Feb 2 16:35:50 2026 max relations containing the same ideal: 98
  250. Mon Feb 2 16:36:29 2026 removing 7143874 relations and 5143874 ideals in 2000000 cliques
  251. Mon Feb 2 16:36:33 2026 commencing in-memory singleton removal
  252. Mon Feb 2 16:36:35 2026 begin with 129272537 relations and 123196821 unique ideals
  253. Mon Feb 2 16:36:43 2026 reduce to 129007970 relations and 117784874 ideals in 7 passes
  254. Mon Feb 2 16:36:43 2026 max relations containing the same ideal: 97
  255. Mon Feb 2 16:37:21 2026 removing 7188059 relations and 5188059 ideals in 2000000 cliques
  256. Mon Feb 2 16:37:25 2026 commencing in-memory singleton removal
  257. Mon Feb 2 16:37:27 2026 begin with 121819911 relations and 117784874 unique ideals
  258. Mon Feb 2 16:37:33 2026 reduce to 121538940 relations and 112311847 ideals in 6 passes
  259. Mon Feb 2 16:37:33 2026 max relations containing the same ideal: 93
  260. Mon Feb 2 16:38:09 2026 removing 7244531 relations and 5244531 ideals in 2000000 cliques
  261. Mon Feb 2 16:38:12 2026 commencing in-memory singleton removal
  262. Mon Feb 2 16:38:14 2026 begin with 114294409 relations and 112311847 unique ideals
  263. Mon Feb 2 16:38:21 2026 reduce to 113991738 relations and 106760350 ideals in 7 passes
  264. Mon Feb 2 16:38:21 2026 max relations containing the same ideal: 90
  265. Mon Feb 2 16:38:54 2026 removing 7305456 relations and 5305456 ideals in 2000000 cliques
  266. Mon Feb 2 16:38:58 2026 commencing in-memory singleton removal
  267. Mon Feb 2 16:39:00 2026 begin with 106686282 relations and 106760350 unique ideals
  268. Mon Feb 2 16:39:07 2026 reduce to 106357876 relations and 101121573 ideals in 8 passes
  269. Mon Feb 2 16:39:07 2026 max relations containing the same ideal: 87
  270. Mon Feb 2 16:39:38 2026 removing 7381422 relations and 5381422 ideals in 2000000 cliques
  271. Mon Feb 2 16:39:42 2026 commencing in-memory singleton removal
  272. Mon Feb 2 16:39:43 2026 begin with 98976454 relations and 101121573 unique ideals
  273. Mon Feb 2 16:39:49 2026 reduce to 98614147 relations and 95372264 ideals in 7 passes
  274. Mon Feb 2 16:39:49 2026 max relations containing the same ideal: 82
  275. Mon Feb 2 16:40:18 2026 removing 2910736 relations and 2276416 ideals in 634320 cliques
  276. Mon Feb 2 16:40:21 2026 commencing in-memory singleton removal
  277. Mon Feb 2 16:40:22 2026 begin with 95703411 relations and 95372264 unique ideals
  278. Mon Feb 2 16:40:28 2026 reduce to 95648913 relations and 93041073 ideals in 6 passes
  279. Mon Feb 2 16:40:28 2026 max relations containing the same ideal: 81
  280. Mon Feb 2 16:41:09 2026 relations with 0 large ideals: 85578
  281. Mon Feb 2 16:41:09 2026 relations with 1 large ideals: 48114
  282. Mon Feb 2 16:41:09 2026 relations with 2 large ideals: 618072
  283. Mon Feb 2 16:41:09 2026 relations with 3 large ideals: 3608585
  284. Mon Feb 2 16:41:09 2026 relations with 4 large ideals: 11369145
  285. Mon Feb 2 16:41:09 2026 relations with 5 large ideals: 21422003
  286. Mon Feb 2 16:41:09 2026 relations with 6 large ideals: 25395954
  287. Mon Feb 2 16:41:09 2026 relations with 7+ large ideals: 33101462
  288. Mon Feb 2 16:41:09 2026 commencing 2-way merge
  289. Mon Feb 2 16:41:46 2026 reduce to 61860615 relation sets and 59252775 unique ideals
  290. Mon Feb 2 16:41:46 2026 commencing full merge
  291. Mon Feb 2 16:59:52 2026 memory use: 7591.5 MB
  292. Mon Feb 2 16:59:58 2026 found 29495066 cycles, need 29162975
  293. Mon Feb 2 17:00:06 2026 weight of 29162975 cycles is about 3208220681 (110.01/cycle)
  294. Mon Feb 2 17:00:07 2026 distribution of cycle lengths:
  295. Mon Feb 2 17:00:07 2026 1 relations: 1655081
  296. Mon Feb 2 17:00:07 2026 2 relations: 2079166
  297. Mon Feb 2 17:00:07 2026 3 relations: 2390708
  298. Mon Feb 2 17:00:07 2026 4 relations: 2435023
  299. Mon Feb 2 17:00:07 2026 5 relations: 2474881
  300. Mon Feb 2 17:00:07 2026 6 relations: 2436778
  301. Mon Feb 2 17:00:07 2026 7 relations: 2347627
  302. Mon Feb 2 17:00:07 2026 8 relations: 2205912
  303. Mon Feb 2 17:00:07 2026 9 relations: 2015877
  304. Mon Feb 2 17:00:07 2026 10+ relations: 9121922
  305. Mon Feb 2 17:00:07 2026 heaviest cycle: 26 relations
  306. Mon Feb 2 17:00:16 2026 commencing cycle optimization
  307. Mon Feb 2 17:01:11 2026 start with 221396652 relations
  308. Mon Feb 2 17:07:20 2026 pruned 8411590 relations
  309. Mon Feb 2 17:07:20 2026 memory use: 6254.6 MB
  310. Mon Feb 2 17:07:20 2026 distribution of cycle lengths:
  311. Mon Feb 2 17:07:20 2026 1 relations: 1655081
  312. Mon Feb 2 17:07:20 2026 2 relations: 2128251
  313. Mon Feb 2 17:07:20 2026 3 relations: 2485624
  314. Mon Feb 2 17:07:20 2026 4 relations: 2529583
  315. Mon Feb 2 17:07:20 2026 5 relations: 2587081
  316. Mon Feb 2 17:07:20 2026 6 relations: 2539134
  317. Mon Feb 2 17:07:20 2026 7 relations: 2452328
  318. Mon Feb 2 17:07:20 2026 8 relations: 2288525
  319. Mon Feb 2 17:07:20 2026 9 relations: 2082386
  320. Mon Feb 2 17:07:20 2026 10+ relations: 8414982
  321. Mon Feb 2 17:07:20 2026 heaviest cycle: 25 relations
  322. Mon Feb 2 17:07:57 2026 RelProcTime: 9618
  323. Mon Feb 2 17:07:57 2026 elapsed time 02:40:19
  324. Mon Feb 9 23:33:57 2026
  325. Mon Feb 9 23:33:57 2026
  326. Mon Feb 9 23:33:57 2026 Msieve v. 1.54 (SVN 573b9ef)
  327. Mon Feb 9 23:33:57 2026 random seeds: 060042da 4a65092f
  328. Mon Feb 9 23:33:57 2026 MPI process 0 of 2
  329. Mon Feb 9 23:33:57 2026 Using 8 OpenMP threads
  330. Mon Feb 9 23:33:57 2026 factoring 721485041965201132417265001819009151900911716356178265690897918823148417082575922804346702784228175280522980266617107051985411350069577766410862906279319052393103380413048163981998015585442977296154824325705447202393205499924794099008599724517436231535553227 (258 digits)
  331. Mon Feb 9 23:33:58 2026 no P-1/P+1/ECM available, skipping
  332. Mon Feb 9 23:33:58 2026 commencing number field sieve (258-digit input)
  333. Mon Feb 9 23:33:58 2026 R0: 2699302794582910996440074437437656779
  334. Mon Feb 9 23:33:58 2026 R1: -15768992641913974546028874232435337927545847808
  335. Mon Feb 9 23:33:58 2026 A0: 102
  336. Mon Feb 9 23:33:58 2026 A1: 0
  337. Mon Feb 9 23:33:58 2026 A2: 0
  338. Mon Feb 9 23:33:58 2026 A3: 0
  339. Mon Feb 9 23:33:58 2026 A4: 0
  340. Mon Feb 9 23:33:58 2026 A5: 0
  341. Mon Feb 9 23:33:58 2026 A6: 1
  342. Mon Feb 9 23:33:58 2026 skew 2.16, size 7.356e-14, alpha 1.596, combined = 1.630e-14 rroots = 0
  343. Mon Feb 9 23:33:58 2026
  344. Mon Feb 9 23:33:58 2026 commencing linear algebra
  345. Mon Feb 9 23:33:58 2026 using VBITS=256
  346. Mon Feb 9 23:33:58 2026 initialized process (0,0) of 1 x 2 grid
  347. Mon Feb 9 23:34:01 2026 read 29162975 cycles
  348. Mon Feb 9 23:34:36 2026 cycles contain 94431805 unique relations
  349. Mon Feb 9 23:37:39 2026 read 94431805 relations
  350. Mon Feb 9 23:38:30 2026 using 20 quadratic characters above 4294917295
  351. Mon Feb 9 23:38:57 2026 building initial matrix
  352. Mon Feb 9 23:50:21 2026 memory use: 12457.7 MB
  353. Mon Feb 9 23:50:34 2026 read 29162975 cycles
  354. Mon Feb 9 23:50:38 2026 matrix is 29162797 x 29162975 (12779.0 MB) with weight 3658129981 (125.44/col)
  355. Mon Feb 9 23:50:38 2026 sparse part has weight 3029132484 (103.87/col)
  356. Mon Feb 9 23:53:16 2026 filtering completed in 2 passes
  357. Mon Feb 9 23:53:19 2026 matrix is 29161272 x 29161442 (12778.8 MB) with weight 3658079902 (125.44/col)
  358. Mon Feb 9 23:53:19 2026 sparse part has weight 3029114114 (103.87/col)
  359. Mon Feb 9 23:54:02 2026 matrix starts at (0, 0)
  360. Mon Feb 9 23:54:03 2026 matrix is 29161272 x 14580731 (6389.4 MB) with weight 1829030511 (125.44/col)
  361. Mon Feb 9 23:54:03 2026 sparse part has weight 1514557196 (103.87/col)
  362. Mon Feb 9 23:54:03 2026 saving the first 240 matrix rows for later
  363. Mon Feb 9 23:54:04 2026 matrix includes 256 packed rows
  364. Mon Feb 9 23:54:10 2026 matrix is 29161032 x 14580731 (5882.2 MB) with weight 1377478899 (94.47/col)
  365. Mon Feb 9 23:54:10 2026 sparse part has weight 1308682671 (89.75/col)
  366. Mon Feb 9 23:54:11 2026 using GPU 0 (NVIDIA GeForce RTX 3090 Ti)
  367. Mon Feb 9 23:54:11 2026 selected card has CUDA arch 8.6
  368. Mon Feb 9 23:55:10 2026 commencing Lanczos iteration
  369. Mon Feb 9 23:55:12 2026 memory use: 15046.0 MB
  370. Mon Feb 9 23:56:13 2026 linear algebra at 0.1%, ETA 15h35m
  371. Mon Feb 9 23:57:40 2026 checking every 30000 dimensions, checkpointing every 1920000 dimensions
  372. Tue Feb 10 15:16:27 2026 lanczos halted after 114252 iterations (dim = 29161028)
  373. Tue Feb 10 15:18:11 2026 recovered 35 nontrivial dependencies
  374. Tue Feb 10 15:18:12 2026 BLanczosTime: 56654
  375. Tue Feb 10 15:18:12 2026 elapsed time 15:44:15
  376. Tue Feb 10 15:19:11 2026
  377. Tue Feb 10 15:19:11 2026
  378. Tue Feb 10 15:19:11 2026 Msieve v. 1.54 (SVN 573b9ef)
  379. Tue Feb 10 15:19:11 2026 random seeds: 95265332 77266345
  380. Tue Feb 10 15:19:11 2026 Using 32 OpenMP threads
  381. Tue Feb 10 15:19:11 2026 factoring 721485041965201132417265001819009151900911716356178265690897918823148417082575922804346702784228175280522980266617107051985411350069577766410862906279319052393103380413048163981998015585442977296154824325705447202393205499924794099008599724517436231535553227 (258 digits)
  382. Tue Feb 10 15:19:11 2026 no P-1/P+1/ECM available, skipping
  383. Tue Feb 10 15:19:11 2026 commencing number field sieve (258-digit input)
  384. Tue Feb 10 15:19:11 2026 R0: 2699302794582910996440074437437656779
  385. Tue Feb 10 15:19:11 2026 R1: -15768992641913974546028874232435337927545847808
  386. Tue Feb 10 15:19:11 2026 A0: 102
  387. Tue Feb 10 15:19:11 2026 A1: 0
  388. Tue Feb 10 15:19:11 2026 A2: 0
  389. Tue Feb 10 15:19:11 2026 A3: 0
  390. Tue Feb 10 15:19:11 2026 A4: 0
  391. Tue Feb 10 15:19:11 2026 A5: 0
  392. Tue Feb 10 15:19:11 2026 A6: 1
  393. Tue Feb 10 15:19:11 2026 skew 2.16, size 7.356e-14, alpha 1.596, combined = 1.630e-14 rroots = 0
  394. Tue Feb 10 15:19:11 2026
  395. Tue Feb 10 15:19:11 2026 commencing square root phase
  396. Tue Feb 10 15:19:11 2026 reading relations for dependency 1
  397. Tue Feb 10 15:19:13 2026 read 14584143 cycles
  398. Tue Feb 10 15:19:43 2026 cycles contain 47223420 unique relations
  399. Tue Feb 10 15:22:06 2026 read 47223420 relations
  400. Tue Feb 10 15:24:49 2026 multiplying 47223420 relations
  401. Tue Feb 10 15:27:31 2026 multiply complete, coefficients have about 1287.84 million bits
  402. Tue Feb 10 15:27:33 2026 initial square root is modulo 598333
  403. Tue Feb 10 15:32:44 2026 GCD is 1, no factor found
  404. Tue Feb 10 15:32:44 2026 reading relations for dependency 2
  405. Tue Feb 10 15:32:46 2026 read 14580990 cycles
  406. Tue Feb 10 15:33:03 2026 cycles contain 47211442 unique relations
  407. Tue Feb 10 15:35:05 2026 read 47211442 relations
  408. Tue Feb 10 15:37:03 2026 multiplying 47211442 relations
  409. Tue Feb 10 15:39:19 2026 multiply complete, coefficients have about 1287.51 million bits
  410. Tue Feb 10 15:39:20 2026 initial square root is modulo 596341
  411. Tue Feb 10 15:44:17 2026 found factor: 4081286584833963134019104096853234432832974548730408636116241332179328679967691075400998675369
  412. Tue Feb 10 15:44:17 2026 reading relations for dependency 3
  413. Tue Feb 10 15:44:19 2026 read 14582158 cycles
  414. Tue Feb 10 15:44:35 2026 cycles contain 47216764 unique relations
  415. Tue Feb 10 15:45:16 2026 read 47216764 relations
  416. Tue Feb 10 15:47:09 2026 multiplying 47216764 relations
  417. Tue Feb 10 15:49:26 2026 multiply complete, coefficients have about 1287.67 million bits
  418. Tue Feb 10 15:49:28 2026 initial square root is modulo 597253
  419. Tue Feb 10 15:54:17 2026 found factor: 4081286584833963134019104096853234432832974548730408636116241332179328679967691075400998675369
  420. Tue Feb 10 15:54:17 2026 reading relations for dependency 4
  421. Tue Feb 10 15:54:18 2026 read 14583324 cycles
  422. Tue Feb 10 15:54:35 2026 cycles contain 47215950 unique relations
  423. Tue Feb 10 15:55:09 2026 read 47215950 relations
  424. Tue Feb 10 15:57:03 2026 multiplying 47215950 relations
  425. Tue Feb 10 15:59:19 2026 multiply complete, coefficients have about 1287.64 million bits
  426. Tue Feb 10 15:59:21 2026 initial square root is modulo 597169
  427. Tue Feb 10 16:04:12 2026 sqrtTime: 2701
  428. Tue Feb 10 16:04:12 2026 p66 factor: 308034792090057431883549324933672682504753181099407003706210907323
  429. Tue Feb 10 16:04:12 2026 p94 factor: 4081286584833963134019104096853234432832974548730408636116241332179328679967691075400998675369
  430. Tue Feb 10 16:04:12 2026 p99 factor: 573892392407610520170886679596503061485195886892035745072642431033867309370695145034437110855822921
  431. Tue Feb 10 16:04:12 2026 elapsed time 00:45:01
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