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Msieve log of C172_230916_6754

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Dec 20th, 2025
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  1. Fri Dec 19 08:59:52 2025
  2. Fri Dec 19 08:59:52 2025
  3. Fri Dec 19 08:59:52 2025 Msieve v. 1.53 (SVN 988)
  4. Fri Dec 19 08:59:52 2025 random seeds: f94f9ba8 40853182
  5. Fri Dec 19 08:59:52 2025 factoring 4764686283803616911408555079774564384791318423970270596847281570312547347259979668839418627468752883084262673073597641000005512809246660491669493317271299987434508183921679 (172 digits)
  6. Fri Dec 19 08:59:52 2025 searching for 15-digit factors
  7. Fri Dec 19 08:59:53 2025 commencing number field sieve (172-digit input)
  8. Fri Dec 19 08:59:53 2025 R0: -1757837693276974077114284176768835
  9. Fri Dec 19 08:59:53 2025 R1: 6047165707055437361939761
  10. Fri Dec 19 08:59:53 2025 A0: -23335130453540210017082342046284643601896
  11. Fri Dec 19 08:59:53 2025 A1: -14430008677808124647598108619439578
  12. Fri Dec 19 08:59:53 2025 A2: 2189576788275291812734393761
  13. Fri Dec 19 08:59:53 2025 A3: 307004222630929059277
  14. Fri Dec 19 08:59:53 2025 A4: -20190643779288
  15. Fri Dec 19 08:59:53 2025 A5: 1769040
  16. Fri Dec 19 08:59:53 2025 skew 8283841.49, size 9.595e-017, alpha -7.483, combined = 2.866e-013 rroots = 3
  17. Fri Dec 19 08:59:53 2025
  18. Fri Dec 19 08:59:53 2025 commencing relation filtering
  19. Fri Dec 19 08:59:53 2025 setting target matrix density to 130.0
  20. Fri Dec 19 08:59:53 2025 estimated available RAM is 16151.1 MB
  21. Fri Dec 19 08:59:53 2025 commencing duplicate removal, pass 1
  22. Fri Dec 19 09:00:40 2025 error -9 reading relation 6322559
  23. Fri Dec 19 09:00:41 2025 error -15 reading relation 6465457
  24. Fri Dec 19 09:00:47 2025 error -15 reading relation 7321415
  25. Fri Dec 19 09:01:34 2025 error -9 reading relation 13829339
  26. Fri Dec 19 09:02:17 2025 error -1 reading relation 19829972
  27. Fri Dec 19 09:03:09 2025 error -9 reading relation 27152147
  28. Fri Dec 19 09:03:21 2025 error -15 reading relation 28928092
  29. Fri Dec 19 09:04:10 2025 error -1 reading relation 35899239
  30. Fri Dec 19 09:04:48 2025 error -9 reading relation 41320085
  31. Fri Dec 19 09:05:09 2025 error -1 reading relation 44229366
  32. Fri Dec 19 09:05:16 2025 error -9 reading relation 45198837
  33. Fri Dec 19 09:06:25 2025 error -9 reading relation 54328732
  34. Fri Dec 19 09:07:30 2025 error -9 reading relation 63542789
  35. Fri Dec 19 09:08:09 2025 error -15 reading relation 68934744
  36. Fri Dec 19 09:09:22 2025 error -15 reading relation 78861719
  37. Fri Dec 19 09:10:41 2025 error -11 reading relation 89519894
  38. Fri Dec 19 09:11:14 2025 error -9 reading relation 93827822
  39. Fri Dec 19 09:11:21 2025 error -15 reading relation 94803868
  40. Fri Dec 19 09:12:25 2025 error -15 reading relation 103821287
  41. Fri Dec 19 09:12:27 2025 error -15 reading relation 104060945
  42. Fri Dec 19 09:12:55 2025 error -15 reading relation 108020039
  43. Fri Dec 19 09:13:17 2025 error -15 reading relation 111010302
  44. Fri Dec 19 09:13:19 2025 error -15 reading relation 111299809
  45. Fri Dec 19 09:13:22 2025 error -1 reading relation 111831998
  46. Fri Dec 19 09:13:24 2025 error -9 reading relation 111985573
  47. Fri Dec 19 09:13:27 2025 error -15 reading relation 112507683
  48. Fri Dec 19 09:14:43 2025 error -9 reading relation 123118643
  49. Fri Dec 19 09:14:52 2025 error -1 reading relation 124375117
  50. Fri Dec 19 09:15:04 2025 error -9 reading relation 126090594
  51. Fri Dec 19 09:15:15 2025 error -15 reading relation 127699259
  52. Fri Dec 19 09:15:34 2025 error -15 reading relation 130405659
  53. Fri Dec 19 09:16:11 2025 error -15 reading relation 135626500
  54. Fri Dec 19 09:16:11 2025 error -1 reading relation 135636662
  55. Fri Dec 19 09:16:11 2025 error -5 reading relation 135636663
  56. Fri Dec 19 09:17:39 2025 error -1 reading relation 148246895
  57. Fri Dec 19 09:18:27 2025 error -15 reading relation 155002707
  58. Fri Dec 19 09:18:39 2025 error -1 reading relation 156660828
  59. Fri Dec 19 09:18:39 2025 error -9 reading relation 156661530
  60. Fri Dec 19 09:20:15 2025 error -15 reading relation 170300654
  61. Fri Dec 19 09:21:02 2025 error -1 reading relation 177043198
  62. Fri Dec 19 09:21:28 2025 error -1 reading relation 180771333
  63. Fri Dec 19 09:21:28 2025 error -9 reading relation 180806462
  64. Fri Dec 19 09:21:35 2025 error -1 reading relation 181807196
  65. Fri Dec 19 09:21:40 2025 error -15 reading relation 182481269
  66. Fri Dec 19 09:21:46 2025 error -1 reading relation 183351718
  67. Fri Dec 19 09:21:48 2025 error -1 reading relation 183552657
  68. Fri Dec 19 09:22:06 2025 error -9 reading relation 186104217
  69. Fri Dec 19 09:22:26 2025 error -15 reading relation 189003034
  70. Fri Dec 19 09:22:27 2025 error -9 reading relation 189142616
  71. Fri Dec 19 09:22:38 2025 error -15 reading relation 190612310
  72. Fri Dec 19 09:23:07 2025 error -9 reading relation 194819984
  73. Fri Dec 19 09:23:39 2025 error -9 reading relation 199315775
  74. Fri Dec 19 09:23:50 2025 error -9 reading relation 200822636
  75. Fri Dec 19 09:24:23 2025 error -15 reading relation 205615019
  76. Fri Dec 19 09:24:30 2025 error -9 reading relation 206571955
  77. Fri Dec 19 09:24:30 2025 error -9 reading relation 206577710
  78. Fri Dec 19 09:24:35 2025 error -9 reading relation 207238722
  79. Fri Dec 19 09:24:45 2025 error -1 reading relation 208667192
  80. Fri Dec 19 09:24:49 2025 error -9 reading relation 209275058
  81. Fri Dec 19 09:24:53 2025 error -9 reading relation 209816814
  82. Fri Dec 19 09:25:00 2025 error -15 reading relation 210804631
  83. Fri Dec 19 09:25:02 2025 error -9 reading relation 211024464
  84. Fri Dec 19 09:25:29 2025 error -15 reading relation 214919534
  85. Fri Dec 19 09:25:34 2025 error -15 reading relation 215686152
  86. Fri Dec 19 09:25:50 2025 error -15 reading relation 217972597
  87. Fri Dec 19 09:25:57 2025 error -1 reading relation 218919281
  88. Fri Dec 19 09:25:59 2025 error -1 reading relation 219266404
  89. Fri Dec 19 09:26:00 2025 error -1 reading relation 219406519
  90. Fri Dec 19 09:26:03 2025 error -9 reading relation 219744289
  91. Fri Dec 19 09:26:06 2025 error -5 reading relation 220185152
  92. Fri Dec 19 09:26:10 2025 error -15 reading relation 220760656
  93. Fri Dec 19 09:26:11 2025 error -15 reading relation 220942513
  94. Fri Dec 19 09:26:26 2025 error -15 reading relation 223018964
  95. Fri Dec 19 09:26:42 2025 error -9 reading relation 225338879
  96. Fri Dec 19 09:26:44 2025 error -15 reading relation 225676242
  97. Fri Dec 19 09:26:44 2025 error -1 reading relation 225680751
  98. Fri Dec 19 09:27:07 2025 error -1 reading relation 228902778
  99. Fri Dec 19 09:27:20 2025 error -15 reading relation 230469153
  100. Fri Dec 19 09:27:30 2025 error -9 reading relation 231810560
  101. Fri Dec 19 09:27:35 2025 error -9 reading relation 232507640
  102. Fri Dec 19 09:27:35 2025 error -1 reading relation 232555062
  103. Fri Dec 19 09:27:36 2025 error -9 reading relation 232652933
  104. Fri Dec 19 09:27:38 2025 error -9 reading relation 232920588
  105. Fri Dec 19 09:27:38 2025 error -15 reading relation 232923327
  106. Fri Dec 19 09:27:47 2025 error -15 reading relation 234300048
  107. Fri Dec 19 09:27:57 2025 error -15 reading relation 235718764
  108. Fri Dec 19 09:28:15 2025 error -5 reading relation 238156407
  109. Fri Dec 19 09:28:31 2025 error -15 reading relation 240507341
  110. Fri Dec 19 09:28:34 2025 error -5 reading relation 240880058
  111. Fri Dec 19 09:28:34 2025 error -15 reading relation 240882400
  112. Fri Dec 19 09:28:34 2025 error -1 reading relation 240883686
  113. Fri Dec 19 09:28:34 2025 error -1 reading relation 240889289
  114. Fri Dec 19 09:28:34 2025 error -1 reading relation 240890422
  115. Fri Dec 19 09:28:34 2025 error -15 reading relation 240892613
  116. Fri Dec 19 09:28:41 2025 error -15 reading relation 241836771
  117. Fri Dec 19 09:28:43 2025 error -1 reading relation 242189578
  118. Fri Dec 19 09:28:43 2025 error -5 reading relation 242190798
  119. Fri Dec 19 09:28:43 2025 error -5 reading relation 242191965
  120. Fri Dec 19 09:28:43 2025 error -15 reading relation 242193129
  121. Fri Dec 19 09:28:43 2025 error -15 reading relation 242194204
  122. Fri Dec 19 09:28:43 2025 error -9 reading relation 242196746
  123. Fri Dec 19 09:28:43 2025 error -15 reading relation 242197992
  124. Fri Dec 19 09:28:54 2025 error -1 reading relation 243733193
  125. Fri Dec 19 09:29:12 2025 error -9 reading relation 246251277
  126. Fri Dec 19 09:29:31 2025 error -15 reading relation 248964803
  127. Fri Dec 19 09:30:35 2025 error -9 reading relation 258013340
  128. Fri Dec 19 09:30:35 2025 error -15 reading relation 258017692
  129. Fri Dec 19 09:30:36 2025 error -9 reading relation 258135698
  130. Fri Dec 19 09:30:37 2025 error -1 reading relation 258248155
  131. Fri Dec 19 09:30:38 2025 error -9 reading relation 258399517
  132. Fri Dec 19 09:30:40 2025 error -1 reading relation 258759827
  133. Fri Dec 19 09:30:50 2025 error -15 reading relation 260098609
  134. Fri Dec 19 09:30:54 2025 error -9 reading relation 260707859
  135. Fri Dec 19 09:30:55 2025 error -9 reading relation 260881307
  136. Fri Dec 19 09:31:03 2025 error -5 reading relation 261980580
  137. Fri Dec 19 09:31:03 2025 error -9 reading relation 261982115
  138. Fri Dec 19 09:31:03 2025 error -1 reading relation 261987593
  139. Fri Dec 19 09:31:10 2025 error -9 reading relation 262896449
  140. Fri Dec 19 09:31:12 2025 error -9 reading relation 263204169
  141. Fri Dec 19 09:31:13 2025 error -15 reading relation 263357774
  142. Fri Dec 19 09:31:19 2025 skipped 76 relations with composite factors
  143. Fri Dec 19 09:31:19 2025 found 48068366 hash collisions in 264223533 relations
  144. Fri Dec 19 09:31:40 2025 added 121679 free relations
  145. Fri Dec 19 09:31:40 2025 commencing duplicate removal, pass 2
  146. Fri Dec 19 09:34:34 2025 found 44347834 duplicates and 219997378 unique relations
  147. Fri Dec 19 09:34:34 2025 memory use: 1321.5 MB
  148. Fri Dec 19 09:34:34 2025 reading ideals above 110034944
  149. Fri Dec 19 09:34:34 2025 commencing singleton removal, initial pass
  150. Fri Dec 19 09:54:50 2025 memory use: 5512.0 MB
  151. Fri Dec 19 09:54:51 2025 reading all ideals from disk
  152. Fri Dec 19 09:54:57 2025 memory use: 3867.1 MB
  153. Fri Dec 19 09:55:08 2025 commencing in-memory singleton removal
  154. Fri Dec 19 09:55:18 2025 begin with 219997378 relations and 167560466 unique ideals
  155. Fri Dec 19 09:56:51 2025 reduce to 160174629 relations and 102837802 ideals in 12 passes
  156. Fri Dec 19 09:56:51 2025 max relations containing the same ideal: 33
  157. Fri Dec 19 09:57:03 2025 reading ideals above 720000
  158. Fri Dec 19 09:57:04 2025 commencing singleton removal, initial pass
  159. Fri Dec 19 10:17:06 2025 memory use: 3012.0 MB
  160. Fri Dec 19 10:17:06 2025 reading all ideals from disk
  161. Fri Dec 19 10:17:18 2025 memory use: 6350.8 MB
  162. Fri Dec 19 10:17:41 2025 keeping 114556999 ideals with weight <= 200, target excess is 889760
  163. Fri Dec 19 10:18:02 2025 commencing in-memory singleton removal
  164. Fri Dec 19 10:18:19 2025 begin with 160174629 relations and 114556999 unique ideals
  165. Fri Dec 19 10:19:28 2025 reduce to 160174564 relations and 114556934 ideals in 5 passes
  166. Fri Dec 19 10:19:28 2025 max relations containing the same ideal: 200
  167. Fri Dec 19 10:20:42 2025 removing 9201620 relations and 7201620 ideals in 2000000 cliques
  168. Fri Dec 19 10:20:45 2025 commencing in-memory singleton removal
  169. Fri Dec 19 10:21:01 2025 begin with 150972944 relations and 114556934 unique ideals
  170. Fri Dec 19 10:22:31 2025 reduce to 150569670 relations and 106945645 ideals in 7 passes
  171. Fri Dec 19 10:22:31 2025 max relations containing the same ideal: 198
  172. Fri Dec 19 10:23:42 2025 removing 7065820 relations and 5065820 ideals in 2000000 cliques
  173. Fri Dec 19 10:23:44 2025 commencing in-memory singleton removal
  174. Fri Dec 19 10:23:59 2025 begin with 143503850 relations and 106945645 unique ideals
  175. Fri Dec 19 10:25:37 2025 reduce to 143231462 relations and 101603723 ideals in 8 passes
  176. Fri Dec 19 10:25:37 2025 max relations containing the same ideal: 194
  177. Fri Dec 19 10:26:44 2025 removing 6469034 relations and 4469034 ideals in 2000000 cliques
  178. Fri Dec 19 10:26:47 2025 commencing in-memory singleton removal
  179. Fri Dec 19 10:27:01 2025 begin with 136762428 relations and 101603723 unique ideals
  180. Fri Dec 19 10:28:11 2025 reduce to 136529435 relations and 96898421 ideals in 6 passes
  181. Fri Dec 19 10:28:11 2025 max relations containing the same ideal: 190
  182. Fri Dec 19 10:29:16 2025 removing 6154618 relations and 4154618 ideals in 2000000 cliques
  183. Fri Dec 19 10:29:19 2025 commencing in-memory singleton removal
  184. Fri Dec 19 10:29:32 2025 begin with 130374817 relations and 96898421 unique ideals
  185. Fri Dec 19 10:30:38 2025 reduce to 130160890 relations and 92526915 ideals in 6 passes
  186. Fri Dec 19 10:30:38 2025 max relations containing the same ideal: 186
  187. Fri Dec 19 10:31:40 2025 removing 5954457 relations and 3954457 ideals in 2000000 cliques
  188. Fri Dec 19 10:31:43 2025 commencing in-memory singleton removal
  189. Fri Dec 19 10:31:56 2025 begin with 124206433 relations and 92526915 unique ideals
  190. Fri Dec 19 10:32:59 2025 reduce to 124005841 relations and 88368955 ideals in 6 passes
  191. Fri Dec 19 10:32:59 2025 max relations containing the same ideal: 182
  192. Fri Dec 19 10:33:58 2025 removing 5812044 relations and 3812044 ideals in 2000000 cliques
  193. Fri Dec 19 10:34:01 2025 commencing in-memory singleton removal
  194. Fri Dec 19 10:34:13 2025 begin with 118193797 relations and 88368955 unique ideals
  195. Fri Dec 19 10:35:13 2025 reduce to 117999860 relations and 84360072 ideals in 6 passes
  196. Fri Dec 19 10:35:13 2025 max relations containing the same ideal: 177
  197. Fri Dec 19 10:36:09 2025 removing 5700173 relations and 3700173 ideals in 2000000 cliques
  198. Fri Dec 19 10:36:11 2025 commencing in-memory singleton removal
  199. Fri Dec 19 10:36:23 2025 begin with 112299687 relations and 84360072 unique ideals
  200. Fri Dec 19 10:37:19 2025 reduce to 112107865 relations and 80465010 ideals in 6 passes
  201. Fri Dec 19 10:37:19 2025 max relations containing the same ideal: 170
  202. Fri Dec 19 10:38:14 2025 removing 5619182 relations and 3619182 ideals in 2000000 cliques
  203. Fri Dec 19 10:38:16 2025 commencing in-memory singleton removal
  204. Fri Dec 19 10:38:27 2025 begin with 106488683 relations and 80465010 unique ideals
  205. Fri Dec 19 10:39:20 2025 reduce to 106299820 relations and 76653744 ideals in 6 passes
  206. Fri Dec 19 10:39:20 2025 max relations containing the same ideal: 165
  207. Fri Dec 19 10:40:12 2025 removing 5550420 relations and 3550420 ideals in 2000000 cliques
  208. Fri Dec 19 10:40:14 2025 commencing in-memory singleton removal
  209. Fri Dec 19 10:40:24 2025 begin with 100749400 relations and 76653744 unique ideals
  210. Fri Dec 19 10:41:15 2025 reduce to 100558488 relations and 72909009 ideals in 6 passes
  211. Fri Dec 19 10:41:15 2025 max relations containing the same ideal: 160
  212. Fri Dec 19 10:42:04 2025 removing 5497007 relations and 3497007 ideals in 2000000 cliques
  213. Fri Dec 19 10:42:06 2025 commencing in-memory singleton removal
  214. Fri Dec 19 10:42:16 2025 begin with 95061481 relations and 72909009 unique ideals
  215. Fri Dec 19 10:43:03 2025 reduce to 94867801 relations and 69214688 ideals in 6 passes
  216. Fri Dec 19 10:43:03 2025 max relations containing the same ideal: 155
  217. Fri Dec 19 10:43:50 2025 removing 5457316 relations and 3457316 ideals in 2000000 cliques
  218. Fri Dec 19 10:43:52 2025 commencing in-memory singleton removal
  219. Fri Dec 19 10:44:01 2025 begin with 89410485 relations and 69214688 unique ideals
  220. Fri Dec 19 10:44:45 2025 reduce to 89212188 relations and 65555089 ideals in 6 passes
  221. Fri Dec 19 10:44:45 2025 max relations containing the same ideal: 152
  222. Fri Dec 19 10:45:30 2025 removing 5428186 relations and 3428186 ideals in 2000000 cliques
  223. Fri Dec 19 10:45:32 2025 commencing in-memory singleton removal
  224. Fri Dec 19 10:45:40 2025 begin with 83784002 relations and 65555089 unique ideals
  225. Fri Dec 19 10:46:22 2025 reduce to 83577937 relations and 61916504 ideals in 6 passes
  226. Fri Dec 19 10:46:22 2025 max relations containing the same ideal: 145
  227. Fri Dec 19 10:47:03 2025 removing 5407264 relations and 3407264 ideals in 2000000 cliques
  228. Fri Dec 19 10:47:05 2025 commencing in-memory singleton removal
  229. Fri Dec 19 10:47:13 2025 begin with 78170673 relations and 61916504 unique ideals
  230. Fri Dec 19 10:47:52 2025 reduce to 77955476 relations and 58289363 ideals in 6 passes
  231. Fri Dec 19 10:47:52 2025 max relations containing the same ideal: 134
  232. Fri Dec 19 10:48:30 2025 removing 5389976 relations and 3389976 ideals in 2000000 cliques
  233. Fri Dec 19 10:48:32 2025 commencing in-memory singleton removal
  234. Fri Dec 19 10:48:40 2025 begin with 72565500 relations and 58289363 unique ideals
  235. Fri Dec 19 10:49:15 2025 reduce to 72340048 relations and 54668668 ideals in 6 passes
  236. Fri Dec 19 10:49:15 2025 max relations containing the same ideal: 128
  237. Fri Dec 19 10:49:51 2025 removing 5383893 relations and 3383893 ideals in 2000000 cliques
  238. Fri Dec 19 10:49:53 2025 commencing in-memory singleton removal
  239. Fri Dec 19 10:49:59 2025 begin with 66956155 relations and 54668668 unique ideals
  240. Fri Dec 19 10:50:37 2025 reduce to 66716494 relations and 51039131 ideals in 7 passes
  241. Fri Dec 19 10:50:37 2025 max relations containing the same ideal: 123
  242. Fri Dec 19 10:51:11 2025 removing 5386678 relations and 3386678 ideals in 2000000 cliques
  243. Fri Dec 19 10:51:12 2025 commencing in-memory singleton removal
  244. Fri Dec 19 10:51:18 2025 begin with 61329816 relations and 51039131 unique ideals
  245. Fri Dec 19 10:51:48 2025 reduce to 61071533 relations and 47387365 ideals in 6 passes
  246. Fri Dec 19 10:51:48 2025 max relations containing the same ideal: 119
  247. Fri Dec 19 10:52:19 2025 removing 5399986 relations and 3399986 ideals in 2000000 cliques
  248. Fri Dec 19 10:52:21 2025 commencing in-memory singleton removal
  249. Fri Dec 19 10:52:26 2025 begin with 55671547 relations and 47387365 unique ideals
  250. Fri Dec 19 10:52:52 2025 reduce to 55390778 relations and 43698628 ideals in 6 passes
  251. Fri Dec 19 10:52:52 2025 max relations containing the same ideal: 108
  252. Fri Dec 19 10:53:21 2025 removing 5422340 relations and 3422340 ideals in 2000000 cliques
  253. Fri Dec 19 10:53:23 2025 commencing in-memory singleton removal
  254. Fri Dec 19 10:53:27 2025 begin with 49968438 relations and 43698628 unique ideals
  255. Fri Dec 19 10:53:51 2025 reduce to 49657766 relations and 39955916 ideals in 6 passes
  256. Fri Dec 19 10:53:51 2025 max relations containing the same ideal: 99
  257. Fri Dec 19 10:54:17 2025 removing 5456507 relations and 3456507 ideals in 2000000 cliques
  258. Fri Dec 19 10:54:18 2025 commencing in-memory singleton removal
  259. Fri Dec 19 10:54:22 2025 begin with 44201259 relations and 39955916 unique ideals
  260. Fri Dec 19 10:54:43 2025 reduce to 43850385 relations and 36136737 ideals in 6 passes
  261. Fri Dec 19 10:54:43 2025 max relations containing the same ideal: 92
  262. Fri Dec 19 10:55:06 2025 removing 5508657 relations and 3508657 ideals in 2000000 cliques
  263. Fri Dec 19 10:55:07 2025 commencing in-memory singleton removal
  264. Fri Dec 19 10:55:11 2025 begin with 38341728 relations and 36136737 unique ideals
  265. Fri Dec 19 10:55:28 2025 reduce to 37935715 relations and 32206721 ideals in 6 passes
  266. Fri Dec 19 10:55:28 2025 max relations containing the same ideal: 82
  267. Fri Dec 19 10:55:49 2025 removing 5572900 relations and 3572900 ideals in 2000000 cliques
  268. Fri Dec 19 10:55:50 2025 commencing in-memory singleton removal
  269. Fri Dec 19 10:55:53 2025 begin with 32362815 relations and 32206721 unique ideals
  270. Fri Dec 19 10:56:10 2025 reduce to 31880851 relations and 28131163 ideals in 7 passes
  271. Fri Dec 19 10:56:10 2025 max relations containing the same ideal: 72
  272. Fri Dec 19 10:56:27 2025 removing 5659313 relations and 3659313 ideals in 2000000 cliques
  273. Fri Dec 19 10:56:28 2025 commencing in-memory singleton removal
  274. Fri Dec 19 10:56:31 2025 begin with 26221538 relations and 28131163 unique ideals
  275. Fri Dec 19 10:56:48 2025 reduce to 25618516 relations and 23837810 ideals in 9 passes
  276. Fri Dec 19 10:56:48 2025 max relations containing the same ideal: 63
  277. Fri Dec 19 10:57:02 2025 removing 2554567 relations and 1805983 ideals in 748584 cliques
  278. Fri Dec 19 10:57:03 2025 commencing in-memory singleton removal
  279. Fri Dec 19 10:57:05 2025 begin with 23063949 relations and 23837810 unique ideals
  280. Fri Dec 19 10:57:17 2025 reduce to 22873451 relations and 21836473 ideals in 7 passes
  281. Fri Dec 19 10:57:17 2025 max relations containing the same ideal: 59
  282. Fri Dec 19 10:57:31 2025 relations with 0 large ideals: 2784
  283. Fri Dec 19 10:57:31 2025 relations with 1 large ideals: 20678
  284. Fri Dec 19 10:57:31 2025 relations with 2 large ideals: 262499
  285. Fri Dec 19 10:57:31 2025 relations with 3 large ideals: 1385014
  286. Fri Dec 19 10:57:31 2025 relations with 4 large ideals: 3792863
  287. Fri Dec 19 10:57:31 2025 relations with 5 large ideals: 6008906
  288. Fri Dec 19 10:57:31 2025 relations with 6 large ideals: 5918421
  289. Fri Dec 19 10:57:31 2025 relations with 7+ large ideals: 5482286
  290. Fri Dec 19 10:57:31 2025 commencing 2-way merge
  291. Fri Dec 19 10:57:47 2025 reduce to 15086155 relation sets and 14049177 unique ideals
  292. Fri Dec 19 10:57:47 2025 commencing full merge
  293. Fri Dec 19 11:03:39 2025 memory use: 1828.5 MB
  294. Fri Dec 19 11:03:42 2025 found 6821721 cycles, need 6721377
  295. Fri Dec 19 11:03:43 2025 weight of 6721377 cycles is about 874663382 (130.13/cycle)
  296. Fri Dec 19 11:03:43 2025 distribution of cycle lengths:
  297. Fri Dec 19 11:03:43 2025 1 relations: 170167
  298. Fri Dec 19 11:03:43 2025 2 relations: 318961
  299. Fri Dec 19 11:03:43 2025 3 relations: 415170
  300. Fri Dec 19 11:03:43 2025 4 relations: 463394
  301. Fri Dec 19 11:03:43 2025 5 relations: 506286
  302. Fri Dec 19 11:03:43 2025 6 relations: 521853
  303. Fri Dec 19 11:03:43 2025 7 relations: 526374
  304. Fri Dec 19 11:03:43 2025 8 relations: 513191
  305. Fri Dec 19 11:03:43 2025 9 relations: 486391
  306. Fri Dec 19 11:03:43 2025 10+ relations: 2799590
  307. Fri Dec 19 11:03:43 2025 heaviest cycle: 27 relations
  308. Fri Dec 19 11:03:48 2025 commencing cycle optimization
  309. Fri Dec 19 11:04:01 2025 start with 60729744 relations
  310. Fri Dec 19 11:06:48 2025 pruned 3268156 relations
  311. Fri Dec 19 11:06:48 2025 memory use: 1567.5 MB
  312. Fri Dec 19 11:06:48 2025 distribution of cycle lengths:
  313. Fri Dec 19 11:06:48 2025 1 relations: 170167
  314. Fri Dec 19 11:06:48 2025 2 relations: 328670
  315. Fri Dec 19 11:06:48 2025 3 relations: 435220
  316. Fri Dec 19 11:06:48 2025 4 relations: 487602
  317. Fri Dec 19 11:06:48 2025 5 relations: 538741
  318. Fri Dec 19 11:06:48 2025 6 relations: 556432
  319. Fri Dec 19 11:06:48 2025 7 relations: 564708
  320. Fri Dec 19 11:06:48 2025 8 relations: 547744
  321. Fri Dec 19 11:06:48 2025 9 relations: 518783
  322. Fri Dec 19 11:06:48 2025 10+ relations: 2573310
  323. Fri Dec 19 11:06:48 2025 heaviest cycle: 26 relations
  324. Fri Dec 19 11:07:01 2025 RelProcTime: 7628
  325. Fri Dec 19 11:07:01 2025
  326. Fri Dec 19 11:07:01 2025 commencing linear algebra
  327. Fri Dec 19 11:07:02 2025 read 6721377 cycles
  328. Fri Dec 19 11:07:18 2025 cycles contain 22379903 unique relations
  329. Fri Dec 19 11:09:45 2025 read 22379903 relations
  330. Fri Dec 19 11:10:32 2025 using 20 quadratic characters above 4294917295
  331. Fri Dec 19 11:12:01 2025 building initial matrix
  332. Fri Dec 19 11:17:36 2025 memory use: 3211.9 MB
  333. Fri Dec 19 11:17:42 2025 read 6721377 cycles
  334. Fri Dec 19 11:17:44 2025 matrix is 6721198 x 6721377 (3375.0 MB) with weight 1037381035 (154.34/col)
  335. Fri Dec 19 11:17:44 2025 sparse part has weight 804067769 (119.63/col)
  336. Fri Dec 19 11:19:08 2025 filtering completed in 2 passes
  337. Fri Dec 19 11:19:09 2025 matrix is 6721013 x 6721192 (3374.9 MB) with weight 1037371135 (154.34/col)
  338. Fri Dec 19 11:19:09 2025 sparse part has weight 804064397 (119.63/col)
  339. Fri Dec 19 11:19:34 2025 matrix starts at (0, 0)
  340. Fri Dec 19 11:19:35 2025 matrix is 6721013 x 6721192 (3374.9 MB) with weight 1037371135 (154.34/col)
  341. Fri Dec 19 11:19:35 2025 sparse part has weight 804064397 (119.63/col)
  342. Fri Dec 19 11:19:35 2025 saving the first 48 matrix rows for later
  343. Fri Dec 19 11:19:37 2025 matrix includes 64 packed rows
  344. Fri Dec 19 11:19:38 2025 matrix is 6720965 x 6721192 (3295.9 MB) with weight 892067518 (132.72/col)
  345. Fri Dec 19 11:19:38 2025 sparse part has weight 796780944 (118.55/col)
  346. Fri Dec 19 11:19:38 2025 using block size 8192 and superblock size 1179648 for processor cache size 12288 kB
  347. Fri Dec 19 11:20:11 2025 commencing Lanczos iteration (10 threads)
  348. Fri Dec 19 11:20:11 2025 memory use: 2760.4 MB
  349. Fri Dec 19 11:20:35 2025 linear algebra at 0.0%, ETA 28h15m
  350. Fri Dec 19 11:20:43 2025 checkpointing every 240000 dimensions
  351. Sat Dec 20 15:33:43 2025 lanczos halted after 106286 iterations (dim = 6720965)
  352. Sat Dec 20 15:33:49 2025 recovered 32 nontrivial dependencies
  353. Sat Dec 20 15:33:52 2025 BLanczosTime: 102411
  354. Sat Dec 20 15:33:52 2025
  355. Sat Dec 20 15:33:52 2025 commencing square root phase
  356. Sat Dec 20 15:33:52 2025 handling dependencies 1 to 64
  357. Sat Dec 20 15:33:52 2025 reading relations for dependency 1
  358. Sat Dec 20 15:33:54 2025 read 3360441 cycles
  359. Sat Dec 20 15:34:00 2025 cycles contain 11190378 unique relations
  360. Sat Dec 20 15:35:34 2025 read 11190378 relations
  361. Sat Dec 20 15:36:39 2025 multiplying 11190378 relations
  362. Sat Dec 20 15:46:35 2025 multiply complete, coefficients have about 655.33 million bits
  363. Sat Dec 20 15:46:39 2025 initial square root is modulo 757363
  364. Sat Dec 20 15:58:11 2025 GCD is N, no factor found
  365. Sat Dec 20 15:58:11 2025 reading relations for dependency 2
  366. Sat Dec 20 15:58:12 2025 read 3359158 cycles
  367. Sat Dec 20 15:58:19 2025 cycles contain 11189382 unique relations
  368. Sat Dec 20 15:59:52 2025 read 11189382 relations
  369. Sat Dec 20 16:00:52 2025 multiplying 11189382 relations
  370. Sat Dec 20 16:10:45 2025 multiply complete, coefficients have about 655.27 million bits
  371. Sat Dec 20 16:10:49 2025 initial square root is modulo 756601
  372. Sat Dec 20 16:22:18 2025 GCD is 1, no factor found
  373. Sat Dec 20 16:22:18 2025 reading relations for dependency 3
  374. Sat Dec 20 16:22:20 2025 read 3359120 cycles
  375. Sat Dec 20 16:22:26 2025 cycles contain 11189074 unique relations
  376. Sat Dec 20 16:24:02 2025 read 11189074 relations
  377. Sat Dec 20 16:25:02 2025 multiplying 11189074 relations
  378. Sat Dec 20 16:34:55 2025 multiply complete, coefficients have about 655.25 million bits
  379. Sat Dec 20 16:34:58 2025 initial square root is modulo 756247
  380. Sat Dec 20 16:46:26 2025 sqrtTime: 4354
  381. Sat Dec 20 16:46:26 2025 p85 factor: 3372451581486422502321704631763634063187218131933648777801193303307252015363646924997
  382. Sat Dec 20 16:46:26 2025 p88 factor: 1412825705181380540789979401064621807902711735088032311399594578189452188581899237351107
  383. Sat Dec 20 16:46:26 2025 elapsed time 31:46:34
  384.  
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