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Jan 11th, 2024
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  1. Wed Jan 3 20:57:07 2024
  2. Wed Jan 3 20:57:07 2024
  3. Wed Jan 3 20:57:07 2024 Msieve v. 1.54 (SVN 1046M) [VBITS=256] Xyzzy
  4. Wed Jan 3 20:57:07 2024 random seeds: 080d27d9 f6413429
  5. Wed Jan 3 20:57:07 2024 factoring 8223700356620466386997504871429254120278499877820230315078409873586836787466254306703047121491947215152479486618042291574069668316839494387953805076646715476028375651654902202073505660047581012998482718724433 (208 digits)
  6. Wed Jan 3 20:57:07 2024 no P-1/P+1/ECM available, skipping
  7. Wed Jan 3 20:57:07 2024 commencing number field sieve (208-digit input)
  8. Wed Jan 3 20:57:07 2024 R0: 6626407607736641103900260617069258125403649041
  9. Wed Jan 3 20:57:07 2024 R1: -100000000000000000000000000000000000000000000
  10. Wed Jan 3 20:57:07 2024 A0: 121
  11. Wed Jan 3 20:57:07 2024 A1: 0
  12. Wed Jan 3 20:57:07 2024 A2: 0
  13. Wed Jan 3 20:57:07 2024 A3: 0
  14. Wed Jan 3 20:57:07 2024 A4: 0
  15. Wed Jan 3 20:57:07 2024 A5: 0
  16. Wed Jan 3 20:57:07 2024 A6: 100
  17. Wed Jan 3 20:57:07 2024 skew 1.03, size 9.518e-14, alpha -0.426, combined = 2.001e-14 rroots = 0
  18. Wed Jan 3 20:57:07 2024
  19. Wed Jan 3 20:57:07 2024 commencing relation filtering
  20. Wed Jan 3 20:57:07 2024 setting target matrix density to 120.0
  21. Wed Jan 3 20:57:07 2024 estimated available RAM is 128734.4 MB
  22. Wed Jan 3 20:57:07 2024 commencing duplicate removal, pass 1
  23. Wed Jan 3 21:02:56 2024 error -5 reading relation 101727528
  24. Wed Jan 3 21:03:46 2024 error -15 reading relation 116909386
  25. Wed Jan 3 21:25:56 2024 error -11 reading relation 510978155
  26. Wed Jan 3 21:32:55 2024 error -6 reading relation 631075815
  27. Wed Jan 3 21:36:06 2024 skipped 6854 relations with b > 2^32
  28. Wed Jan 3 21:36:06 2024 skipped 5 relations with composite factors
  29. Wed Jan 3 21:36:06 2024 found 89454532 hash collisions in 685735634 relations
  30. Wed Jan 3 21:36:13 2024 added 1218879 free relations
  31. Wed Jan 3 21:36:13 2024 commencing duplicate removal, pass 2
  32. Wed Jan 3 21:41:06 2024 found 2 duplicates and 686954511 unique relations
  33. Wed Jan 3 21:41:06 2024 memory use: 4262.0 MB
  34. Wed Jan 3 21:41:06 2024 reading ideals above 339935232
  35. Wed Jan 3 21:41:06 2024 commencing singleton removal, initial pass
  36. Wed Jan 3 22:17:15 2024 memory use: 11024.0 MB
  37. Wed Jan 3 22:17:16 2024 reading all ideals from disk
  38. Wed Jan 3 22:17:29 2024 memory use: 12690.4 MB
  39. Wed Jan 3 22:18:05 2024 commencing in-memory singleton removal
  40. Wed Jan 3 22:18:39 2024 begin with 686954511 relations and 596723924 unique ideals
  41. Wed Jan 3 22:25:56 2024 reduce to 425007476 relations and 306612823 ideals in 14 passes
  42. Wed Jan 3 22:25:56 2024 max relations containing the same ideal: 52
  43. Wed Jan 3 22:26:18 2024 reading ideals above 720000
  44. Wed Jan 3 22:26:19 2024 commencing singleton removal, initial pass
  45. Wed Jan 3 23:00:18 2024 memory use: 11024.0 MB
  46. Wed Jan 3 23:00:18 2024 reading all ideals from disk
  47. Wed Jan 3 23:00:30 2024 memory use: 18151.1 MB
  48. Wed Jan 3 23:01:25 2024 keeping 341018936 ideals with weight <= 200, target excess is 2174185
  49. Wed Jan 3 23:02:33 2024 commencing in-memory singleton removal
  50. Wed Jan 3 23:03:15 2024 begin with 425007476 relations and 341018936 unique ideals
  51. Wed Jan 3 23:10:20 2024 reduce to 425005860 relations and 341017320 ideals in 8 passes
  52. Wed Jan 3 23:10:20 2024 max relations containing the same ideal: 200
  53. Wed Jan 3 23:14:10 2024 removing 15253091 relations and 13253091 ideals in 2000000 cliques
  54. Wed Jan 3 23:14:17 2024 commencing in-memory singleton removal
  55. Wed Jan 3 23:14:59 2024 begin with 409752769 relations and 341017320 unique ideals
  56. Wed Jan 3 23:22:40 2024 reduce to 409360022 relations and 327368825 ideals in 9 passes
  57. Wed Jan 3 23:22:40 2024 max relations containing the same ideal: 200
  58. Wed Jan 3 23:26:21 2024 removing 11432973 relations and 9432973 ideals in 2000000 cliques
  59. Wed Jan 3 23:26:28 2024 commencing in-memory singleton removal
  60. Wed Jan 3 23:27:08 2024 begin with 397927049 relations and 327368825 unique ideals
  61. Wed Jan 3 23:32:57 2024 reduce to 397679807 relations and 317687226 ideals in 7 passes
  62. Wed Jan 3 23:32:57 2024 max relations containing the same ideal: 199
  63. Wed Jan 3 23:36:31 2024 removing 10214778 relations and 8214778 ideals in 2000000 cliques
  64. Wed Jan 3 23:36:38 2024 commencing in-memory singleton removal
  65. Wed Jan 3 23:37:17 2024 begin with 387465029 relations and 317687226 unique ideals
  66. Wed Jan 3 23:42:56 2024 reduce to 387257123 relations and 309263438 ideals in 7 passes
  67. Wed Jan 3 23:42:56 2024 max relations containing the same ideal: 197
  68. Wed Jan 3 23:46:25 2024 removing 9511489 relations and 7511489 ideals in 2000000 cliques
  69. Wed Jan 3 23:46:32 2024 commencing in-memory singleton removal
  70. Wed Jan 3 23:47:10 2024 begin with 377745634 relations and 309263438 unique ideals
  71. Wed Jan 3 23:52:40 2024 reduce to 377557683 relations and 301563031 ideals in 7 passes
  72. Wed Jan 3 23:52:40 2024 max relations containing the same ideal: 194
  73. Wed Jan 3 23:56:03 2024 removing 9041095 relations and 7041095 ideals in 2000000 cliques
  74. Wed Jan 3 23:56:10 2024 commencing in-memory singleton removal
  75. Wed Jan 3 23:56:47 2024 begin with 368516588 relations and 301563031 unique ideals
  76. Thu Jan 4 00:02:09 2024 reduce to 368341183 relations and 294345614 ideals in 7 passes
  77. Thu Jan 4 00:02:09 2024 max relations containing the same ideal: 194
  78. Thu Jan 4 00:05:27 2024 removing 8695071 relations and 6695071 ideals in 2000000 cliques
  79. Thu Jan 4 00:05:34 2024 commencing in-memory singleton removal
  80. Thu Jan 4 00:06:10 2024 begin with 359646112 relations and 294345614 unique ideals
  81. Thu Jan 4 00:11:24 2024 reduce to 359479522 relations and 287483091 ideals in 7 passes
  82. Thu Jan 4 00:11:24 2024 max relations containing the same ideal: 189
  83. Thu Jan 4 00:14:38 2024 removing 8423405 relations and 6423405 ideals in 2000000 cliques
  84. Thu Jan 4 00:14:45 2024 commencing in-memory singleton removal
  85. Thu Jan 4 00:15:19 2024 begin with 351056117 relations and 287483091 unique ideals
  86. Thu Jan 4 00:19:06 2024 reduce to 350894371 relations and 280897103 ideals in 7 passes
  87. Thu Jan 4 00:19:06 2024 max relations containing the same ideal: 186
  88. Thu Jan 4 00:21:05 2024 removing 8214019 relations and 6214019 ideals in 2000000 cliques
  89. Thu Jan 4 00:21:11 2024 commencing in-memory singleton removal
  90. Thu Jan 4 00:21:24 2024 begin with 342680352 relations and 280897103 unique ideals
  91. Thu Jan 4 00:24:53 2024 reduce to 342522694 relations and 274524574 ideals in 7 passes
  92. Thu Jan 4 00:24:53 2024 max relations containing the same ideal: 186
  93. Thu Jan 4 00:27:41 2024 removing 8038595 relations and 6038595 ideals in 2000000 cliques
  94. Thu Jan 4 00:27:47 2024 commencing in-memory singleton removal
  95. Thu Jan 4 00:28:16 2024 begin with 334484099 relations and 274524574 unique ideals
  96. Thu Jan 4 00:31:48 2024 reduce to 334329099 relations and 268330073 ideals in 6 passes
  97. Thu Jan 4 00:31:48 2024 max relations containing the same ideal: 182
  98. Thu Jan 4 00:34:28 2024 removing 7896530 relations and 5896530 ideals in 2000000 cliques
  99. Thu Jan 4 00:34:33 2024 commencing in-memory singleton removal
  100. Thu Jan 4 00:35:02 2024 begin with 326432569 relations and 268330073 unique ideals
  101. Thu Jan 4 00:39:02 2024 reduce to 326279457 relations and 262279554 ideals in 7 passes
  102. Thu Jan 4 00:39:02 2024 max relations containing the same ideal: 181
  103. Thu Jan 4 00:41:39 2024 removing 7774874 relations and 5774874 ideals in 2000000 cliques
  104. Thu Jan 4 00:41:45 2024 commencing in-memory singleton removal
  105. Thu Jan 4 00:42:12 2024 begin with 318504583 relations and 262279554 unique ideals
  106. Thu Jan 4 00:46:11 2024 reduce to 318352394 relations and 256351633 ideals in 7 passes
  107. Thu Jan 4 00:46:11 2024 max relations containing the same ideal: 180
  108. Thu Jan 4 00:48:43 2024 removing 7674959 relations and 5674959 ideals in 2000000 cliques
  109. Thu Jan 4 00:48:49 2024 commencing in-memory singleton removal
  110. Thu Jan 4 00:49:15 2024 begin with 310677435 relations and 256351633 unique ideals
  111. Thu Jan 4 00:52:32 2024 reduce to 310525550 relations and 250523834 ideals in 6 passes
  112. Thu Jan 4 00:52:32 2024 max relations containing the same ideal: 177
  113. Thu Jan 4 00:55:01 2024 removing 7587781 relations and 5587781 ideals in 2000000 cliques
  114. Thu Jan 4 00:55:06 2024 commencing in-memory singleton removal
  115. Thu Jan 4 00:55:32 2024 begin with 302937769 relations and 250523834 unique ideals
  116. Thu Jan 4 00:59:17 2024 reduce to 302785643 relations and 244782914 ideals in 7 passes
  117. Thu Jan 4 00:59:17 2024 max relations containing the same ideal: 171
  118. Thu Jan 4 01:01:41 2024 removing 7514228 relations and 5514228 ideals in 2000000 cliques
  119. Thu Jan 4 01:01:47 2024 commencing in-memory singleton removal
  120. Thu Jan 4 01:02:12 2024 begin with 295271415 relations and 244782914 unique ideals
  121. Thu Jan 4 01:05:49 2024 reduce to 295118388 relations and 239114648 ideals in 7 passes
  122. Thu Jan 4 01:05:49 2024 max relations containing the same ideal: 170
  123. Thu Jan 4 01:08:14 2024 removing 7456193 relations and 5456193 ideals in 2000000 cliques
  124. Thu Jan 4 01:08:18 2024 commencing in-memory singleton removal
  125. Thu Jan 4 01:08:45 2024 begin with 287662195 relations and 239114648 unique ideals
  126. Thu Jan 4 01:12:16 2024 reduce to 287508764 relations and 233503948 ideals in 7 passes
  127. Thu Jan 4 01:12:16 2024 max relations containing the same ideal: 167
  128. Thu Jan 4 01:14:35 2024 removing 7399753 relations and 5399753 ideals in 2000000 cliques
  129. Thu Jan 4 01:14:40 2024 commencing in-memory singleton removal
  130. Thu Jan 4 01:15:06 2024 begin with 280109011 relations and 233503948 unique ideals
  131. Thu Jan 4 01:18:02 2024 reduce to 279954042 relations and 227948168 ideals in 6 passes
  132. Thu Jan 4 01:18:02 2024 max relations containing the same ideal: 164
  133. Thu Jan 4 01:20:19 2024 removing 7355635 relations and 5355635 ideals in 2000000 cliques
  134. Thu Jan 4 01:20:23 2024 commencing in-memory singleton removal
  135. Thu Jan 4 01:20:49 2024 begin with 272598407 relations and 227948168 unique ideals
  136. Thu Jan 4 01:24:06 2024 reduce to 272441619 relations and 222434609 ideals in 7 passes
  137. Thu Jan 4 01:24:06 2024 max relations containing the same ideal: 161
  138. Thu Jan 4 01:26:19 2024 removing 7319654 relations and 5319654 ideals in 2000000 cliques
  139. Thu Jan 4 01:26:24 2024 commencing in-memory singleton removal
  140. Thu Jan 4 01:26:46 2024 begin with 265121965 relations and 222434609 unique ideals
  141. Thu Jan 4 01:30:02 2024 reduce to 264961622 relations and 216953411 ideals in 7 passes
  142. Thu Jan 4 01:30:02 2024 max relations containing the same ideal: 160
  143. Thu Jan 4 01:32:10 2024 removing 7290595 relations and 5290595 ideals in 2000000 cliques
  144. Thu Jan 4 01:32:14 2024 commencing in-memory singleton removal
  145. Thu Jan 4 01:32:36 2024 begin with 257671027 relations and 216953411 unique ideals
  146. Thu Jan 4 01:35:19 2024 reduce to 257509142 relations and 211499673 ideals in 6 passes
  147. Thu Jan 4 01:35:19 2024 max relations containing the same ideal: 157
  148. Thu Jan 4 01:37:22 2024 removing 7263064 relations and 5263064 ideals in 2000000 cliques
  149. Thu Jan 4 01:37:27 2024 commencing in-memory singleton removal
  150. Thu Jan 4 01:37:48 2024 begin with 250246078 relations and 211499673 unique ideals
  151. Thu Jan 4 01:40:25 2024 reduce to 250081462 relations and 206070627 ideals in 6 passes
  152. Thu Jan 4 01:40:25 2024 max relations containing the same ideal: 152
  153. Thu Jan 4 01:42:27 2024 removing 7239643 relations and 5239643 ideals in 2000000 cliques
  154. Thu Jan 4 01:42:31 2024 commencing in-memory singleton removal
  155. Thu Jan 4 01:42:55 2024 begin with 242841819 relations and 206070627 unique ideals
  156. Thu Jan 4 01:45:51 2024 reduce to 242673168 relations and 200660981 ideals in 7 passes
  157. Thu Jan 4 01:45:51 2024 max relations containing the same ideal: 149
  158. Thu Jan 4 01:47:47 2024 removing 7228021 relations and 5228021 ideals in 2000000 cliques
  159. Thu Jan 4 01:47:51 2024 commencing in-memory singleton removal
  160. Thu Jan 4 01:48:13 2024 begin with 235445147 relations and 200660981 unique ideals
  161. Thu Jan 4 01:50:40 2024 reduce to 235272302 relations and 195258675 ideals in 6 passes
  162. Thu Jan 4 01:50:40 2024 max relations containing the same ideal: 146
  163. Thu Jan 4 01:52:33 2024 removing 7218642 relations and 5218642 ideals in 2000000 cliques
  164. Thu Jan 4 01:52:37 2024 commencing in-memory singleton removal
  165. Thu Jan 4 01:52:57 2024 begin with 228053660 relations and 195258675 unique ideals
  166. Thu Jan 4 01:55:19 2024 reduce to 227876889 relations and 189861800 ideals in 6 passes
  167. Thu Jan 4 01:55:19 2024 max relations containing the same ideal: 143
  168. Thu Jan 4 01:57:09 2024 removing 7211013 relations and 5211013 ideals in 2000000 cliques
  169. Thu Jan 4 01:57:13 2024 commencing in-memory singleton removal
  170. Thu Jan 4 01:57:35 2024 begin with 220665876 relations and 189861800 unique ideals
  171. Thu Jan 4 01:59:50 2024 reduce to 220484305 relations and 184467520 ideals in 6 passes
  172. Thu Jan 4 01:59:50 2024 max relations containing the same ideal: 142
  173. Thu Jan 4 02:01:40 2024 removing 7209730 relations and 5209730 ideals in 2000000 cliques
  174. Thu Jan 4 02:01:45 2024 commencing in-memory singleton removal
  175. Thu Jan 4 02:02:02 2024 begin with 213274575 relations and 184467520 unique ideals
  176. Thu Jan 4 02:04:16 2024 reduce to 213087421 relations and 179068908 ideals in 6 passes
  177. Thu Jan 4 02:04:16 2024 max relations containing the same ideal: 139
  178. Thu Jan 4 02:06:01 2024 removing 7215849 relations and 5215849 ideals in 2000000 cliques
  179. Thu Jan 4 02:06:05 2024 commencing in-memory singleton removal
  180. Thu Jan 4 02:06:23 2024 begin with 205871572 relations and 179068908 unique ideals
  181. Thu Jan 4 02:08:27 2024 reduce to 205679798 relations and 173659485 ideals in 6 passes
  182. Thu Jan 4 02:08:27 2024 max relations containing the same ideal: 134
  183. Thu Jan 4 02:09:41 2024 removing 7226125 relations and 5226125 ideals in 2000000 cliques
  184. Thu Jan 4 02:09:45 2024 commencing in-memory singleton removal
  185. Thu Jan 4 02:10:04 2024 begin with 198453673 relations and 173659485 unique ideals
  186. Thu Jan 4 02:12:53 2024 reduce to 198254457 relations and 168232208 ideals in 7 passes
  187. Thu Jan 4 02:12:53 2024 max relations containing the same ideal: 131
  188. Thu Jan 4 02:14:44 2024 removing 7236889 relations and 5236889 ideals in 2000000 cliques
  189. Thu Jan 4 02:14:48 2024 commencing in-memory singleton removal
  190. Thu Jan 4 02:15:06 2024 begin with 191017568 relations and 168232208 unique ideals
  191. Thu Jan 4 02:17:25 2024 reduce to 190811510 relations and 162787170 ideals in 6 passes
  192. Thu Jan 4 02:17:25 2024 max relations containing the same ideal: 127
  193. Thu Jan 4 02:19:12 2024 removing 7250623 relations and 5250623 ideals in 2000000 cliques
  194. Thu Jan 4 02:19:16 2024 commencing in-memory singleton removal
  195. Thu Jan 4 02:19:34 2024 begin with 183560887 relations and 162787170 unique ideals
  196. Thu Jan 4 02:22:10 2024 reduce to 183346240 relations and 157319585 ideals in 7 passes
  197. Thu Jan 4 02:22:10 2024 max relations containing the same ideal: 123
  198. Thu Jan 4 02:23:52 2024 removing 7270346 relations and 5270346 ideals in 2000000 cliques
  199. Thu Jan 4 02:23:56 2024 commencing in-memory singleton removal
  200. Thu Jan 4 02:24:13 2024 begin with 176075894 relations and 157319585 unique ideals
  201. Thu Jan 4 02:26:21 2024 reduce to 175853370 relations and 151824250 ideals in 6 passes
  202. Thu Jan 4 02:26:21 2024 max relations containing the same ideal: 120
  203. Thu Jan 4 02:28:00 2024 removing 7299115 relations and 5299115 ideals in 2000000 cliques
  204. Thu Jan 4 02:28:04 2024 commencing in-memory singleton removal
  205. Thu Jan 4 02:28:20 2024 begin with 168554255 relations and 151824250 unique ideals
  206. Thu Jan 4 02:30:42 2024 reduce to 168321525 relations and 146289915 ideals in 7 passes
  207. Thu Jan 4 02:30:42 2024 max relations containing the same ideal: 117
  208. Thu Jan 4 02:32:18 2024 removing 7330523 relations and 5330523 ideals in 2000000 cliques
  209. Thu Jan 4 02:32:22 2024 commencing in-memory singleton removal
  210. Thu Jan 4 02:32:37 2024 begin with 160991002 relations and 146289915 unique ideals
  211. Thu Jan 4 02:34:53 2024 reduce to 160747404 relations and 140713090 ideals in 7 passes
  212. Thu Jan 4 02:34:53 2024 max relations containing the same ideal: 115
  213. Thu Jan 4 02:36:25 2024 removing 7364544 relations and 5364544 ideals in 2000000 cliques
  214. Thu Jan 4 02:36:28 2024 commencing in-memory singleton removal
  215. Thu Jan 4 02:36:43 2024 begin with 153382860 relations and 140713090 unique ideals
  216. Thu Jan 4 02:39:10 2024 reduce to 153127134 relations and 135089858 ideals in 8 passes
  217. Thu Jan 4 02:39:10 2024 max relations containing the same ideal: 113
  218. Thu Jan 4 02:40:38 2024 removing 7405334 relations and 5405334 ideals in 2000000 cliques
  219. Thu Jan 4 02:40:41 2024 commencing in-memory singleton removal
  220. Thu Jan 4 02:40:55 2024 begin with 145721800 relations and 135089858 unique ideals
  221. Thu Jan 4 02:42:57 2024 reduce to 145452593 relations and 129411970 ideals in 7 passes
  222. Thu Jan 4 02:42:57 2024 max relations containing the same ideal: 111
  223. Thu Jan 4 02:44:21 2024 removing 7452352 relations and 5452352 ideals in 2000000 cliques
  224. Thu Jan 4 02:44:24 2024 commencing in-memory singleton removal
  225. Thu Jan 4 02:44:37 2024 begin with 138000241 relations and 129411970 unique ideals
  226. Thu Jan 4 02:46:32 2024 reduce to 137715779 relations and 123671539 ideals in 7 passes
  227. Thu Jan 4 02:46:32 2024 max relations containing the same ideal: 106
  228. Thu Jan 4 02:47:52 2024 removing 7504943 relations and 5504943 ideals in 2000000 cliques
  229. Thu Jan 4 02:47:55 2024 commencing in-memory singleton removal
  230. Thu Jan 4 02:48:08 2024 begin with 130210836 relations and 123671539 unique ideals
  231. Thu Jan 4 02:49:56 2024 reduce to 129908091 relations and 117859938 ideals in 7 passes
  232. Thu Jan 4 02:49:56 2024 max relations containing the same ideal: 99
  233. Thu Jan 4 02:51:12 2024 removing 7565359 relations and 5565359 ideals in 2000000 cliques
  234. Thu Jan 4 02:51:15 2024 commencing in-memory singleton removal
  235. Thu Jan 4 02:51:26 2024 begin with 122342732 relations and 117859938 unique ideals
  236. Thu Jan 4 02:53:07 2024 reduce to 122017970 relations and 111965387 ideals in 7 passes
  237. Thu Jan 4 02:53:07 2024 max relations containing the same ideal: 93
  238. Thu Jan 4 02:54:19 2024 removing 7626588 relations and 5626588 ideals in 2000000 cliques
  239. Thu Jan 4 02:54:22 2024 commencing in-memory singleton removal
  240. Thu Jan 4 02:54:32 2024 begin with 114391382 relations and 111965387 unique ideals
  241. Thu Jan 4 02:56:21 2024 reduce to 114043116 relations and 105985568 ideals in 8 passes
  242. Thu Jan 4 02:56:21 2024 max relations containing the same ideal: 90
  243. Thu Jan 4 02:57:27 2024 removing 7706879 relations and 5706879 ideals in 2000000 cliques
  244. Thu Jan 4 02:57:30 2024 commencing in-memory singleton removal
  245. Thu Jan 4 02:57:40 2024 begin with 106336237 relations and 105985568 unique ideals
  246. Thu Jan 4 02:59:20 2024 reduce to 105956198 relations and 99892971 ideals in 8 passes
  247. Thu Jan 4 02:59:20 2024 max relations containing the same ideal: 84
  248. Thu Jan 4 03:00:22 2024 removing 7785649 relations and 5785649 ideals in 2000000 cliques
  249. Thu Jan 4 03:00:25 2024 commencing in-memory singleton removal
  250. Thu Jan 4 03:00:34 2024 begin with 98170549 relations and 99892971 unique ideals
  251. Thu Jan 4 03:01:55 2024 reduce to 97753545 relations and 93683695 ideals in 7 passes
  252. Thu Jan 4 03:01:55 2024 max relations containing the same ideal: 80
  253. Thu Jan 4 03:02:53 2024 removing 6380845 relations and 4833050 ideals in 1547795 cliques
  254. Thu Jan 4 03:02:55 2024 commencing in-memory singleton removal
  255. Thu Jan 4 03:03:04 2024 begin with 91372700 relations and 93683695 unique ideals
  256. Thu Jan 4 03:04:29 2024 reduce to 91070534 relations and 88544312 ideals in 8 passes
  257. Thu Jan 4 03:04:29 2024 max relations containing the same ideal: 78
  258. Thu Jan 4 03:05:31 2024 relations with 0 large ideals: 82838
  259. Thu Jan 4 03:05:31 2024 relations with 1 large ideals: 49294
  260. Thu Jan 4 03:05:31 2024 relations with 2 large ideals: 620413
  261. Thu Jan 4 03:05:31 2024 relations with 3 large ideals: 3596584
  262. Thu Jan 4 03:05:31 2024 relations with 4 large ideals: 11193794
  263. Thu Jan 4 03:05:31 2024 relations with 5 large ideals: 20791865
  264. Thu Jan 4 03:05:31 2024 relations with 6 large ideals: 24223328
  265. Thu Jan 4 03:05:31 2024 relations with 7+ large ideals: 30512418
  266. Thu Jan 4 03:05:31 2024 commencing 2-way merge
  267. Thu Jan 4 03:06:48 2024 reduce to 57223445 relation sets and 54697223 unique ideals
  268. Thu Jan 4 03:06:48 2024 commencing full merge
  269. Thu Jan 4 03:33:00 2024 memory use: 7168.7 MB
  270. Thu Jan 4 03:33:09 2024 found 26215951 cycles, need 25993423
  271. Thu Jan 4 03:33:16 2024 weight of 25993423 cycles is about 3119329060 (120.00/cycle)
  272. Thu Jan 4 03:33:17 2024 distribution of cycle lengths:
  273. Thu Jan 4 03:33:17 2024 1 relations: 1408156
  274. Thu Jan 4 03:33:17 2024 2 relations: 1696053
  275. Thu Jan 4 03:33:17 2024 3 relations: 1874309
  276. Thu Jan 4 03:33:17 2024 4 relations: 1900054
  277. Thu Jan 4 03:33:17 2024 5 relations: 1925011
  278. Thu Jan 4 03:33:17 2024 6 relations: 1893370
  279. Thu Jan 4 03:33:17 2024 7 relations: 1858659
  280. Thu Jan 4 03:33:17 2024 8 relations: 1775984
  281. Thu Jan 4 03:33:17 2024 9 relations: 1680606
  282. Thu Jan 4 03:33:17 2024 10+ relations: 9981221
  283. Thu Jan 4 03:33:17 2024 heaviest cycle: 28 relations
  284. Thu Jan 4 03:33:25 2024 commencing cycle optimization
  285. Thu Jan 4 03:34:33 2024 start with 221752588 relations
  286. Thu Jan 4 03:42:09 2024 pruned 9045150 relations
  287. Thu Jan 4 03:42:09 2024 memory use: 6036.2 MB
  288. Thu Jan 4 03:42:09 2024 distribution of cycle lengths:
  289. Thu Jan 4 03:42:09 2024 1 relations: 1408156
  290. Thu Jan 4 03:42:09 2024 2 relations: 1734234
  291. Thu Jan 4 03:42:09 2024 3 relations: 1947008
  292. Thu Jan 4 03:42:09 2024 4 relations: 1971179
  293. Thu Jan 4 03:42:09 2024 5 relations: 2010790
  294. Thu Jan 4 03:42:09 2024 6 relations: 1974659
  295. Thu Jan 4 03:42:09 2024 7 relations: 1944926
  296. Thu Jan 4 03:42:09 2024 8 relations: 1854428
  297. Thu Jan 4 03:42:09 2024 9 relations: 1751092
  298. Thu Jan 4 03:42:09 2024 10+ relations: 9396951
  299. Thu Jan 4 03:42:09 2024 heaviest cycle: 28 relations
  300. Thu Jan 4 03:42:34 2024 RelProcTime: 24327
  301. Thu Jan 4 03:42:34 2024 elapsed time 06:45:27
  302. Thu Jan 4 07:45:56 2024
  303. Thu Jan 4 07:45:56 2024
  304. Thu Jan 4 07:45:56 2024 Msieve v. 1.54 (SVN 1046M) [VBITS=256] Xyzzy
  305. Thu Jan 4 07:45:56 2024 random seeds: e303db94 0109c7c7
  306. Thu Jan 4 07:45:56 2024 factoring 8223700356620466386997504871429254120278499877820230315078409873586836787466254306703047121491947215152479486618042291574069668316839494387953805076646715476028375651654902202073505660047581012998482718724433 (208 digits)
  307. Thu Jan 4 07:45:57 2024 no P-1/P+1/ECM available, skipping
  308. Thu Jan 4 07:45:57 2024 commencing number field sieve (208-digit input)
  309. Thu Jan 4 07:45:57 2024 R0: 6626407607736641103900260617069258125403649041
  310. Thu Jan 4 07:45:57 2024 R1: -100000000000000000000000000000000000000000000
  311. Thu Jan 4 07:45:57 2024 A0: 121
  312. Thu Jan 4 07:45:57 2024 A1: 0
  313. Thu Jan 4 07:45:57 2024 A2: 0
  314. Thu Jan 4 07:45:57 2024 A3: 0
  315. Thu Jan 4 07:45:57 2024 A4: 0
  316. Thu Jan 4 07:45:57 2024 A5: 0
  317. Thu Jan 4 07:45:57 2024 A6: 100
  318. Thu Jan 4 07:45:57 2024 skew 1.03, size 9.518e-14, alpha -0.426, combined = 2.001e-14 rroots = 0
  319. Thu Jan 4 07:45:57 2024
  320. Thu Jan 4 07:45:57 2024 commencing linear algebra
  321. Thu Jan 4 07:45:58 2024 read 25993423 cycles
  322. Thu Jan 4 07:46:33 2024 cycles contain 89650684 unique relations
  323. Thu Jan 4 07:49:46 2024 read 89650684 relations
  324. Thu Jan 4 07:51:31 2024 using 20 quadratic characters above 4294917295
  325. Thu Jan 4 07:54:42 2024 building initial matrix
  326. Thu Jan 4 08:07:03 2024 memory use: 11555.2 MB
  327. Thu Jan 4 08:07:09 2024 read 25993423 cycles
  328. Thu Jan 4 08:07:12 2024 matrix is 25993246 x 25993423 (12340.0 MB) with weight 3540073428 (136.19/col)
  329. Thu Jan 4 08:07:12 2024 sparse part has weight 2948932679 (113.45/col)
  330. Thu Jan 4 08:10:00 2024 filtering completed in 2 passes
  331. Thu Jan 4 08:10:03 2024 matrix is 25992012 x 25992181 (12339.9 MB) with weight 3540025840 (136.20/col)
  332. Thu Jan 4 08:10:03 2024 sparse part has weight 2948913630 (113.45/col)
  333. Thu Jan 4 08:10:40 2024 matrix starts at (0, 0)
  334. Thu Jan 4 08:10:41 2024 matrix is 25992012 x 25992181 (12339.9 MB) with weight 3540025840 (136.20/col)
  335. Thu Jan 4 08:10:41 2024 sparse part has weight 2948913630 (113.45/col)
  336. Thu Jan 4 08:10:41 2024 saving the first 240 matrix rows for later
  337. Thu Jan 4 08:10:44 2024 matrix includes 256 packed rows
  338. Thu Jan 4 08:10:49 2024 matrix is 25991772 x 25992181 (11312.6 MB) with weight 2689485573 (103.47/col)
  339. Thu Jan 4 08:10:49 2024 sparse part has weight 2549666869 (98.09/col)
  340. Thu Jan 4 08:10:49 2024 using block size 8192 and superblock size 1572864 for processor cache size 65536 kB
  341. Thu Jan 4 08:11:38 2024 commencing Lanczos iteration (8 threads)
  342. Thu Jan 4 08:11:38 2024 memory use: 15644.5 MB
  343. Thu Jan 4 08:12:21 2024 linear algebra at 0.0%, ETA 174h49m
  344. Thu Jan 4 08:12:34 2024 checkpointing every 150000 dimensions
  345. Thu Jan 11 07:33:50 2024 lanczos halted after 101836 iterations (dim = 25991770)
  346. Thu Jan 11 07:34:46 2024 recovered 43 nontrivial dependencies
  347. Thu Jan 11 07:34:48 2024 BLanczosTime: 604131
  348. Thu Jan 11 07:34:48 2024 elapsed time 167:48:52
  349. Thu Jan 11 09:06:34 2024
  350. Thu Jan 11 09:06:34 2024
  351. Thu Jan 11 09:06:34 2024 Msieve v. 1.54 (SVN 1046M) [VBITS=256] Xyzzy
  352. Thu Jan 11 09:06:34 2024 random seeds: 95c237d1 b8fe2e2e
  353. Thu Jan 11 09:06:34 2024 factoring 8223700356620466386997504871429254120278499877820230315078409873586836787466254306703047121491947215152479486618042291574069668316839494387953805076646715476028375651654902202073505660047581012998482718724433 (208 digits)
  354. Thu Jan 11 09:06:34 2024 no P-1/P+1/ECM available, skipping
  355. Thu Jan 11 09:06:34 2024 commencing number field sieve (208-digit input)
  356. Thu Jan 11 09:06:34 2024 R0: 6626407607736641103900260617069258125403649041
  357. Thu Jan 11 09:06:34 2024 R1: -100000000000000000000000000000000000000000000
  358. Thu Jan 11 09:06:34 2024 A0: 121
  359. Thu Jan 11 09:06:34 2024 A1: 0
  360. Thu Jan 11 09:06:34 2024 A2: 0
  361. Thu Jan 11 09:06:34 2024 A3: 0
  362. Thu Jan 11 09:06:34 2024 A4: 0
  363. Thu Jan 11 09:06:34 2024 A5: 0
  364. Thu Jan 11 09:06:34 2024 A6: 100
  365. Thu Jan 11 09:06:34 2024 skew 1.03, size 9.518e-14, alpha -0.426, combined = 2.001e-14 rroots = 0
  366. Thu Jan 11 09:06:34 2024
  367. Thu Jan 11 09:06:34 2024 commencing square root phase
  368. Thu Jan 11 09:06:34 2024 reading relations for dependency 1
  369. Thu Jan 11 09:06:35 2024 read 12994547 cycles
  370. Thu Jan 11 09:07:03 2024 cycles contain 44819994 unique relations
  371. Thu Jan 11 09:09:04 2024 read 44819994 relations
  372. Thu Jan 11 09:12:01 2024 multiplying 44819994 relations
  373. Thu Jan 11 09:38:38 2024 multiply complete, coefficients have about 1488.96 million bits
  374. Thu Jan 11 09:38:40 2024 initial square root is modulo 4776151
  375. Thu Jan 11 10:07:35 2024 GCD is N, no factor found
  376. Thu Jan 11 10:07:35 2024 reading relations for dependency 2
  377. Thu Jan 11 10:07:36 2024 read 12996446 cycles
  378. Thu Jan 11 10:07:54 2024 cycles contain 44824858 unique relations
  379. Thu Jan 11 10:09:50 2024 read 44824858 relations
  380. Thu Jan 11 10:13:06 2024 multiplying 44824858 relations
  381. Thu Jan 11 10:39:59 2024 multiply complete, coefficients have about 1489.11 million bits
  382. Thu Jan 11 10:40:02 2024 initial square root is modulo 4783651
  383. Thu Jan 11 11:09:16 2024 GCD is 1, no factor found
  384. Thu Jan 11 11:09:16 2024 reading relations for dependency 3
  385. Thu Jan 11 11:09:17 2024 read 12995974 cycles
  386. Thu Jan 11 11:09:47 2024 cycles contain 44829770 unique relations
  387. Thu Jan 11 11:11:41 2024 read 44829770 relations
  388. Thu Jan 11 11:14:46 2024 multiplying 44829770 relations
  389. Thu Jan 11 11:41:07 2024 multiply complete, coefficients have about 1489.26 million bits
  390. Thu Jan 11 11:41:09 2024 initial square root is modulo 4791043
  391. Thu Jan 11 12:08:43 2024 sqrtTime: 10929
  392. Thu Jan 11 12:08:43 2024 p97 factor: 3570553262392968112286213256456330033392004408524216476704691367564824842781424067234055036478353
  393. Thu Jan 11 12:08:43 2024 p112 factor: 2303200583292512162381108623839103995532128564205453902656159806971323074340770582870275037672376220211834663361
  394. Thu Jan 11 12:08:43 2024 elapsed time 03:02:09
  395.  
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