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C179_552_1249 msieve.log

kyleaskine
Oct 31st, 2026
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  1. Sat Oct 31 10:34:19 2026
  2. Sat Oct 31 10:34:19 2026
  3. Sat Oct 31 10:34:19 2026 Msieve v. 1.54 (SVN unknown)
  4. Sat Oct 31 10:34:19 2026 random seeds: 31643a22 3048cd80
  5. Sat Oct 31 10:34:19 2026 Using 14 OpenMP threads
  6. Sat Oct 31 10:34:19 2026 factoring 42243231645140403682405541715762653242228645613665145145511869647139272315941280973896000193266445184276870146828996154946880804366006337022970425697847483400678366982708869106779 (179 digits)
  7. Sat Oct 31 10:34:20 2026 no P-1/P+1/ECM available, skipping
  8. Sat Oct 31 10:34:20 2026 commencing number field sieve (179-digit input)
  9. Sat Oct 31 10:34:20 2026 R0: -52020671930424082825009922953854364
  10. Sat Oct 31 10:34:20 2026 R1: 24155316639634909768679
  11. Sat Oct 31 10:34:20 2026 A0: 2941298789798012182872049430097690422776450
  12. Sat Oct 31 10:34:20 2026 A1: 344249900020900569454630729211156195
  13. Sat Oct 31 10:34:20 2026 A2: -39335267125262158368906278104
  14. Sat Oct 31 10:34:20 2026 A3: -2274994934090158699457
  15. Sat Oct 31 10:34:20 2026 A4: 79608058341552
  16. Sat Oct 31 10:34:20 2026 A5: 665280
  17. Sat Oct 31 10:34:20 2026 skew 25292229.92, size 2.245e-17, alpha -7.580, combined = 1.192e-13 rroots = 5
  18. Sat Oct 31 10:34:20 2026
  19. Sat Oct 31 10:34:20 2026 commencing relation filtering
  20. Sat Oct 31 10:34:20 2026 setting 3 target densities:Sat Oct 31 10:34:20 2026 90Sat Oct 31 10:34:20 2026 110Sat Oct 31 10:34:20 2026 130Sat Oct 31 10:34:20 2026
  21. Sat Oct 31 10:34:20 2026 estimated available RAM is 78541.8 MB
  22. Sat Oct 31 10:34:20 2026 commencing duplicate removal, pass 1
  23. Sat Oct 31 10:36:20 2026 error -1 reading relation 44263564
  24. Sat Oct 31 10:37:05 2026 error -1 reading relation 61983369
  25. Sat Oct 31 10:37:06 2026 error -1 reading relation 62593077
  26. Sat Oct 31 10:37:36 2026 error -1 reading relation 74302362
  27. Sat Oct 31 10:38:31 2026 error -1 reading relation 95301498
  28. Sat Oct 31 10:38:33 2026 error -1 reading relation 95792682
  29. Sat Oct 31 10:39:37 2026 error -1 reading relation 119650186
  30. Sat Oct 31 10:39:57 2026 error -1 reading relation 127869452
  31. Sat Oct 31 10:40:06 2026 error -1 reading relation 130991261
  32. Sat Oct 31 10:40:16 2026 error -1 reading relation 134376777
  33. Sat Oct 31 10:40:19 2026 error -1 reading relation 135400620
  34. Sat Oct 31 10:40:44 2026 error -1 reading relation 144780158
  35. Sat Oct 31 10:41:14 2026 error -1 reading relation 156336582
  36. Sat Oct 31 10:42:18 2026 error -1 reading relation 179795289
  37. Sat Oct 31 10:42:51 2026 error -1 reading relation 192081013
  38. Sat Oct 31 10:43:26 2026 error -1 reading relation 205185842
  39. Sat Oct 31 10:43:40 2026 error -1 reading relation 210475761
  40. Sat Oct 31 10:44:35 2026 error -1 reading relation 231016217
  41. Sat Oct 31 10:44:38 2026 error -1 reading relation 232139755
  42. Sat Oct 31 10:44:53 2026 error -1 reading relation 237019296
  43. Sat Oct 31 10:45:13 2026 error -1 reading relation 244676099
  44. Sat Oct 31 10:45:42 2026 error -1 reading relation 255034312
  45. Sat Oct 31 10:45:46 2026 error -1 reading relation 256175424
  46. Sat Oct 31 10:46:27 2026 error -1 reading relation 270932394
  47. Sat Oct 31 10:46:30 2026 error -1 reading relation 272020463
  48. Sat Oct 31 10:46:43 2026 error -1 reading relation 276990589
  49. Sat Oct 31 10:47:01 2026 error -1 reading relation 283169373
  50. Sat Oct 31 10:47:04 2026 error -1 reading relation 284979580
  51. Sat Oct 31 10:47:09 2026 error -1 reading relation 286916449
  52. Sat Oct 31 10:47:12 2026 error -1 reading relation 287807005
  53. Sat Oct 31 10:47:12 2026 error -1 reading relation 287943496
  54. Sat Oct 31 10:47:32 2026 error -1 reading relation 295162836
  55. Sat Oct 31 10:47:34 2026 error -15 reading relation 296043982
  56. Sat Oct 31 10:47:34 2026 error -1 reading relation 296043983
  57. Sat Oct 31 10:47:37 2026 error -1 reading relation 297136029
  58. Sat Oct 31 10:48:15 2026 error -1 reading relation 310431297
  59. Sat Oct 31 10:48:24 2026 error -1 reading relation 313235499
  60. Sat Oct 31 10:48:48 2026 error -1 reading relation 321955216
  61. Sat Oct 31 10:48:49 2026 error -1 reading relation 322120066
  62. Sat Oct 31 10:49:21 2026 error -1 reading relation 333525755
  63. Sat Oct 31 10:49:24 2026 error -1 reading relation 334422667
  64. Sat Oct 31 10:49:28 2026 error -1 reading relation 335595031
  65. Sat Oct 31 10:49:31 2026 error -1 reading relation 337443093
  66. Sat Oct 31 10:49:33 2026 skipped 1 relations with composite factors
  67. Sat Oct 31 10:49:33 2026 skipped 275 malformed relations
  68. Sat Oct 31 10:49:33 2026 found 67030359 hash collisions in 337964435 relations
  69. Sat Oct 31 10:49:33 2026 cached 337964754 relation coordinates for pass 2 (5668.9 MB)
  70. Sat Oct 31 10:49:50 2026 added 121140 free relations
  71. Sat Oct 31 10:49:50 2026 commencing duplicate removal, pass 2
  72. Sat Oct 31 10:51:53 2026 found 70186770 duplicates and 267898805 unique relations
  73. Sat Oct 31 10:51:53 2026 memory use: 3240.0 MB
  74. Sat Oct 31 10:51:54 2026 reading ideals above 720000
  75. Sat Oct 31 10:51:54 2026 commencing singleton removal, initial pass
  76. Sat Oct 31 11:05:46 2026 LP64 contains 267898805 relations and 244928281 unique large ideals
  77. Sat Oct 31 11:05:46 2026 memory use: 8776.0 MB
  78. Sat Oct 31 11:05:47 2026 preparing 64-bit LP file for common filtering
  79. Sat Oct 31 11:05:47 2026 start with 267898805 relations and 244928281 ideals
  80. Sat Oct 31 11:06:59 2026 compacted LP dataset has 267898805 relations and 244928281 large ideals
  81. Sat Oct 31 11:06:59 2026 reading all ideals from disk
  82. Sat Oct 31 11:07:23 2026 memory use: 12955.1 MB
  83. Sat Oct 31 11:07:33 2026 keeping 243641431 ideals with weight <= 200, target excess is 1402744
  84. Sat Oct 31 11:08:04 2026 commencing in-memory singleton removal
  85. Sat Oct 31 11:08:14 2026 begin with 267898805 relations and 243641431 unique ideals
  86. Sat Oct 31 11:08:14 2026 memory use: 1874.8 MB
  87. Sat Oct 31 11:08:28 2026 reduce to 169854234 relations and 135782376 ideals in 4 passes
  88. Sat Oct 31 11:08:28 2026 max relations containing the same ideal: 155
  89. Sat Oct 31 11:09:46 2026 removing 11016785 relations and 9016785 ideals in 2000000 cliques
  90. Sat Oct 31 11:09:48 2026 commencing in-memory singleton removal
  91. Sat Oct 31 11:09:53 2026 begin with 158837449 relations and 135782376 unique ideals
  92. Sat Oct 31 11:09:53 2026 memory use: 1051.9 MB
  93. Sat Oct 31 11:09:56 2026 reduce to 158319648 relations and 126239930 ideals in 1 passes
  94. Sat Oct 31 11:09:56 2026 max relations containing the same ideal: 148
  95. Sat Oct 31 11:11:00 2026 removing 8459673 relations and 6459673 ideals in 2000000 cliques
  96. Sat Oct 31 11:11:02 2026 commencing in-memory singleton removal
  97. Sat Oct 31 11:11:07 2026 begin with 149859975 relations and 126239930 unique ideals
  98. Sat Oct 31 11:11:07 2026 memory use: 979.1 MB
  99. Sat Oct 31 11:11:08 2026 reduce to 149506820 relations and 119422501 ideals in 1 passes
  100. Sat Oct 31 11:11:08 2026 max relations containing the same ideal: 145
  101. Sat Oct 31 11:12:11 2026 removing 7688225 relations and 5688225 ideals in 2000000 cliques
  102. Sat Oct 31 11:12:13 2026 commencing in-memory singleton removal
  103. Sat Oct 31 11:12:17 2026 begin with 141818595 relations and 119422501 unique ideals
  104. Sat Oct 31 11:12:17 2026 memory use: 927.1 MB
  105. Sat Oct 31 11:12:20 2026 reduce to 141506934 relations and 113418567 ideals in 1 passes
  106. Sat Oct 31 11:12:20 2026 max relations containing the same ideal: 139
  107. Sat Oct 31 11:13:19 2026 removing 7292396 relations and 5292396 ideals in 2000000 cliques
  108. Sat Oct 31 11:13:20 2026 commencing in-memory singleton removal
  109. Sat Oct 31 11:13:25 2026 begin with 134214538 relations and 113418567 unique ideals
  110. Sat Oct 31 11:13:25 2026 memory use: 881.3 MB
  111. Sat Oct 31 11:13:27 2026 reduce to 133918902 relations and 107826611 ideals in 1 passes
  112. Sat Oct 31 11:13:27 2026 max relations containing the same ideal: 134
  113. Sat Oct 31 11:14:24 2026 removing 7040465 relations and 5040465 ideals in 2000000 cliques
  114. Sat Oct 31 11:14:25 2026 commencing in-memory singleton removal
  115. Sat Oct 31 11:14:29 2026 begin with 126878437 relations and 107826611 unique ideals
  116. Sat Oct 31 11:14:29 2026 memory use: 838.7 MB
  117. Sat Oct 31 11:14:32 2026 reduce to 126589077 relations and 102492802 ideals in 1 passes
  118. Sat Oct 31 11:14:32 2026 max relations containing the same ideal: 129
  119. Sat Oct 31 11:15:27 2026 removing 6884355 relations and 4884355 ideals in 2000000 cliques
  120. Sat Oct 31 11:15:28 2026 commencing in-memory singleton removal
  121. Sat Oct 31 11:15:32 2026 begin with 119704722 relations and 102492802 unique ideals
  122. Sat Oct 31 11:15:32 2026 memory use: 798.0 MB
  123. Sat Oct 31 11:15:34 2026 reduce to 119415180 relations and 97314687 ideals in 1 passes
  124. Sat Oct 31 11:15:34 2026 max relations containing the same ideal: 124
  125. Sat Oct 31 11:16:27 2026 removing 6771965 relations and 4771965 ideals in 2000000 cliques
  126. Sat Oct 31 11:16:28 2026 commencing in-memory singleton removal
  127. Sat Oct 31 11:16:32 2026 begin with 112643215 relations and 97314687 unique ideals
  128. Sat Oct 31 11:16:32 2026 memory use: 758.5 MB
  129. Sat Oct 31 11:16:34 2026 reduce to 112348886 relations and 92243899 ideals in 1 passes
  130. Sat Oct 31 11:16:34 2026 max relations containing the same ideal: 120
  131. Sat Oct 31 11:17:27 2026 removing 6704620 relations and 4704620 ideals in 2000000 cliques
  132. Sat Oct 31 11:17:28 2026 commencing in-memory singleton removal
  133. Sat Oct 31 11:17:31 2026 begin with 105644266 relations and 92243899 unique ideals
  134. Sat Oct 31 11:17:31 2026 memory use: 719.8 MB
  135. Sat Oct 31 11:17:33 2026 reduce to 105338454 relations and 87228629 ideals in 1 passes
  136. Sat Oct 31 11:17:33 2026 max relations containing the same ideal: 114
  137. Sat Oct 31 11:18:23 2026 removing 6664291 relations and 4664291 ideals in 2000000 cliques
  138. Sat Oct 31 11:18:24 2026 commencing in-memory singleton removal
  139. Sat Oct 31 11:18:28 2026 begin with 98674163 relations and 87228629 unique ideals
  140. Sat Oct 31 11:18:28 2026 memory use: 681.5 MB
  141. Sat Oct 31 11:18:30 2026 reduce to 98354980 relations and 82239754 ideals in 1 passes
  142. Sat Oct 31 11:18:30 2026 max relations containing the same ideal: 108
  143. Sat Oct 31 11:19:12 2026 removing 6647496 relations and 4647496 ideals in 2000000 cliques
  144. Sat Oct 31 11:19:13 2026 commencing in-memory singleton removal
  145. Sat Oct 31 11:19:16 2026 begin with 91707484 relations and 82239754 unique ideals
  146. Sat Oct 31 11:19:16 2026 memory use: 643.4 MB
  147. Sat Oct 31 11:19:18 2026 reduce to 91369335 relations and 77247925 ideals in 1 passes
  148. Sat Oct 31 11:19:18 2026 max relations containing the same ideal: 104
  149. Sat Oct 31 11:20:01 2026 removing 6654243 relations and 4654243 ideals in 2000000 cliques
  150. Sat Oct 31 11:20:02 2026 commencing in-memory singleton removal
  151. Sat Oct 31 11:20:04 2026 begin with 84715092 relations and 77247925 unique ideals
  152. Sat Oct 31 11:20:04 2026 memory use: 605.4 MB
  153. Sat Oct 31 11:20:06 2026 reduce to 84350608 relations and 72222187 ideals in 1 passes
  154. Sat Oct 31 11:20:06 2026 max relations containing the same ideal: 98
  155. Sat Oct 31 11:20:43 2026 removing 6688006 relations and 4688006 ideals in 2000000 cliques
  156. Sat Oct 31 11:20:44 2026 commencing in-memory singleton removal
  157. Sat Oct 31 11:20:47 2026 begin with 77662602 relations and 72222187 unique ideals
  158. Sat Oct 31 11:20:47 2026 memory use: 567.0 MB
  159. Sat Oct 31 11:20:48 2026 reduce to 77262393 relations and 67125873 ideals in 1 passes
  160. Sat Oct 31 11:20:48 2026 max relations containing the same ideal: 94
  161. Sat Oct 31 11:21:26 2026 removing 6745700 relations and 4745700 ideals in 2000000 cliques
  162. Sat Oct 31 11:21:27 2026 commencing in-memory singleton removal
  163. Sat Oct 31 11:21:29 2026 begin with 70516693 relations and 67125873 unique ideals
  164. Sat Oct 31 11:21:29 2026 memory use: 528.1 MB
  165. Sat Oct 31 11:21:30 2026 reduce to 70072466 relations and 61925895 ideals in 1 passes
  166. Sat Oct 31 11:21:30 2026 max relations containing the same ideal: 87
  167. Sat Oct 31 11:22:05 2026 removing 6824251 relations and 4824251 ideals in 2000000 cliques
  168. Sat Oct 31 11:22:06 2026 commencing in-memory singleton removal
  169. Sat Oct 31 11:22:08 2026 begin with 63248215 relations and 61925895 unique ideals
  170. Sat Oct 31 11:22:08 2026 memory use: 488.5 MB
  171. Sat Oct 31 11:22:10 2026 reduce to 62744140 relations and 56585202 ideals in 1 passes
  172. Sat Oct 31 11:22:10 2026 max relations containing the same ideal: 79
  173. Sat Oct 31 11:22:42 2026 removing 6943714 relations and 4943714 ideals in 2000000 cliques
  174. Sat Oct 31 11:22:43 2026 commencing in-memory singleton removal
  175. Sat Oct 31 11:22:44 2026 begin with 55800426 relations and 56585202 unique ideals
  176. Sat Oct 31 11:22:44 2026 memory use: 447.7 MB
  177. Sat Oct 31 11:22:46 2026 reduce to 55211500 relations and 51036618 ideals in 1 passes
  178. Sat Oct 31 11:22:46 2026 max relations containing the same ideal: 72
  179. Sat Oct 31 11:23:11 2026 removing 7099728 relations and 5099728 ideals in 2000000 cliques
  180. Sat Oct 31 11:23:12 2026 commencing in-memory singleton removal
  181. Sat Oct 31 11:23:13 2026 begin with 48111772 relations and 51036618 unique ideals
  182. Sat Oct 31 11:23:13 2026 memory use: 405.4 MB
  183. Sat Oct 31 11:23:15 2026 reduce to 47398534 relations and 45201984 ideals in 1 passes
  184. Sat Oct 31 11:23:15 2026 max relations containing the same ideal: 66
  185. Sat Oct 31 11:23:39 2026 removing 2699159 relations and 2129793 ideals in 569366 cliques
  186. Sat Oct 31 11:23:39 2026 commencing in-memory singleton removal
  187. Sat Oct 31 11:23:38 2026 begin with 44699375 relations and 45201984 unique ideals
  188. Sat Oct 31 11:23:38 2026 memory use: 360.9 MB
  189. Sat Oct 31 11:23:39 2026 reduce to 44590538 relations and 42962283 ideals in 1 passes
  190. Sat Oct 31 11:23:39 2026 max relations containing the same ideal: 66
  191. Sat Oct 31 11:24:03 2026 trying target density 90
  192. Sat Oct 31 11:24:04 2026 relations with 0 large ideals: 5095
  193. Sat Oct 31 11:24:04 2026 relations with 1 large ideals: 31862
  194. Sat Oct 31 11:24:04 2026 relations with 2 large ideals: 420118
  195. Sat Oct 31 11:24:04 2026 relations with 3 large ideals: 2303537
  196. Sat Oct 31 11:24:04 2026 relations with 4 large ideals: 6685936
  197. Sat Oct 31 11:24:04 2026 relations with 5 large ideals: 11381081
  198. Sat Oct 31 11:24:04 2026 relations with 6 large ideals: 11960186
  199. Sat Oct 31 11:24:04 2026 relations with 7+ large ideals: 11802723
  200. Sat Oct 31 11:24:04 2026 commencing 2-way merge
  201. Sat Oct 31 11:24:30 2026 reduce to 28007474 relation sets and 26379219 unique ideals
  202. Sat Oct 31 11:24:30 2026 commencing full merge
  203. Sat Oct 31 11:32:02 2026 memory use: 3310.5 MB
  204. Sat Oct 31 11:32:02 2026 found 13959144 cycles, need 13737419
  205. Sat Oct 31 11:32:05 2026 weight of 13737419 cycles is about 1236575805 (90.02/cycle)
  206. Sat Oct 31 11:32:05 2026 distribution of cycle lengths:
  207. Sat Oct 31 11:32:05 2026 1 relations: 1299686
  208. Sat Oct 31 11:32:05 2026 2 relations: 1280506
  209. Sat Oct 31 11:32:05 2026 3 relations: 1335258
  210. Sat Oct 31 11:32:05 2026 4 relations: 1313783
  211. Sat Oct 31 11:32:05 2026 5 relations: 1301683
  212. Sat Oct 31 11:32:05 2026 6 relations: 1248190
  213. Sat Oct 31 11:32:05 2026 7 relations: 1154822
  214. Sat Oct 31 11:32:05 2026 8 relations: 1028738
  215. Sat Oct 31 11:32:05 2026 9 relations: 890008
  216. Sat Oct 31 11:32:05 2026 10+ relations: 2884745
  217. Sat Oct 31 11:32:05 2026 heaviest cycle: 20 relations
  218. Sat Oct 31 11:32:05 2026 commencing cycle optimization
  219. Sat Oct 31 11:32:26 2026 start with 86612135 relations
  220. Sat Oct 31 11:34:37 2026 pruned 2770425 relations
  221. Sat Oct 31 11:34:37 2026 memory use: 2842.7 MB
  222. Sat Oct 31 11:34:37 2026 distribution of cycle lengths:
  223. Sat Oct 31 11:34:37 2026 1 relations: 1299686
  224. Sat Oct 31 11:34:37 2026 2 relations: 1312379
  225. Sat Oct 31 11:34:37 2026 3 relations: 1387023
  226. Sat Oct 31 11:34:37 2026 4 relations: 1359545
  227. Sat Oct 31 11:34:37 2026 5 relations: 1354209
  228. Sat Oct 31 11:34:37 2026 6 relations: 1290244
  229. Sat Oct 31 11:34:37 2026 7 relations: 1192816
  230. Sat Oct 31 11:34:37 2026 8 relations: 1051424
  231. Sat Oct 31 11:34:37 2026 9 relations: 897942
  232. Sat Oct 31 11:34:37 2026 10+ relations: 2592151
  233. Sat Oct 31 11:34:37 2026 heaviest cycle: 20 relations
  234. Sat Oct 31 11:34:45 2026 trying target density 110
  235. Sat Oct 31 11:34:46 2026 relations with 0 large ideals: 5095
  236. Sat Oct 31 11:34:46 2026 relations with 1 large ideals: 31862
  237. Sat Oct 31 11:34:46 2026 relations with 2 large ideals: 420118
  238. Sat Oct 31 11:34:46 2026 relations with 3 large ideals: 2303537
  239. Sat Oct 31 11:34:46 2026 relations with 4 large ideals: 6685936
  240. Sat Oct 31 11:34:46 2026 relations with 5 large ideals: 11381081
  241. Sat Oct 31 11:34:46 2026 relations with 6 large ideals: 11960186
  242. Sat Oct 31 11:34:46 2026 relations with 7+ large ideals: 11802723
  243. Sat Oct 31 11:34:46 2026 commencing 2-way merge
  244. Sat Oct 31 11:35:13 2026 reduce to 28007474 relation sets and 26379219 unique ideals
  245. Sat Oct 31 11:35:13 2026 commencing full merge
  246. Sat Oct 31 11:44:39 2026 memory use: 3420.3 MB
  247. Sat Oct 31 11:44:39 2026 found 13053723 cycles, need 12855419
  248. Sat Oct 31 11:44:41 2026 weight of 12855419 cycles is about 1414273371 (110.01/cycle)
  249. Sat Oct 31 11:44:41 2026 distribution of cycle lengths:
  250. Sat Oct 31 11:44:41 2026 1 relations: 882920
  251. Sat Oct 31 11:44:41 2026 2 relations: 954656
  252. Sat Oct 31 11:44:41 2026 3 relations: 1015285
  253. Sat Oct 31 11:44:41 2026 4 relations: 1017186
  254. Sat Oct 31 11:44:41 2026 5 relations: 1026769
  255. Sat Oct 31 11:44:41 2026 6 relations: 1018739
  256. Sat Oct 31 11:44:41 2026 7 relations: 979984
  257. Sat Oct 31 11:44:41 2026 8 relations: 928089
  258. Sat Oct 31 11:44:41 2026 9 relations: 857855
  259. Sat Oct 31 11:44:41 2026 10+ relations: 4173936
  260. Sat Oct 31 11:44:41 2026 heaviest cycle: 24 relations
  261. Sat Oct 31 11:44:42 2026 commencing cycle optimization
  262. Sat Oct 31 11:45:07 2026 start with 98701144 relations
  263. Sat Oct 31 11:48:30 2026 pruned 3920341 relations
  264. Sat Oct 31 11:48:30 2026 memory use: 2968.3 MB
  265. Sat Oct 31 11:48:30 2026 distribution of cycle lengths:
  266. Sat Oct 31 11:48:30 2026 1 relations: 882920
  267. Sat Oct 31 11:48:30 2026 2 relations: 979466
  268. Sat Oct 31 11:48:30 2026 3 relations: 1056754
  269. Sat Oct 31 11:48:30 2026 4 relations: 1057830
  270. Sat Oct 31 11:48:30 2026 5 relations: 1074595
  271. Sat Oct 31 11:48:30 2026 6 relations: 1063544
  272. Sat Oct 31 11:48:30 2026 7 relations: 1026514
  273. Sat Oct 31 11:48:30 2026 8 relations: 965536
  274. Sat Oct 31 11:48:30 2026 9 relations: 888745
  275. Sat Oct 31 11:48:30 2026 10+ relations: 3859515
  276. Sat Oct 31 11:48:30 2026 heaviest cycle: 24 relations
  277. Sat Oct 31 11:48:42 2026 trying target density 130
  278. Sat Oct 31 11:48:42 2026 relations with 0 large ideals: 5095
  279. Sat Oct 31 11:48:42 2026 relations with 1 large ideals: 31862
  280. Sat Oct 31 11:48:42 2026 relations with 2 large ideals: 420118
  281. Sat Oct 31 11:48:42 2026 relations with 3 large ideals: 2303537
  282. Sat Oct 31 11:48:42 2026 relations with 4 large ideals: 6685936
  283. Sat Oct 31 11:48:42 2026 relations with 5 large ideals: 11381081
  284. Sat Oct 31 11:48:42 2026 relations with 6 large ideals: 11960186
  285. Sat Oct 31 11:48:42 2026 relations with 7+ large ideals: 11802723
  286. Sat Oct 31 11:48:42 2026 commencing 2-way merge
  287. Sat Oct 31 11:49:08 2026 reduce to 28007474 relation sets and 26379219 unique ideals
  288. Sat Oct 31 11:49:08 2026 commencing full merge
  289. Sat Oct 31 11:59:37 2026 memory use: 3495.7 MB
  290. Sat Oct 31 11:59:37 2026 found 12329693 cycles, need 12209419
  291. Sat Oct 31 11:59:39 2026 weight of 12209419 cycles is about 1588075823 (130.07/cycle)
  292. Sat Oct 31 11:59:39 2026 distribution of cycle lengths:
  293. Sat Oct 31 11:59:39 2026 1 relations: 621832
  294. Sat Oct 31 11:59:39 2026 2 relations: 745811
  295. Sat Oct 31 11:59:39 2026 3 relations: 804757
  296. Sat Oct 31 11:59:39 2026 4 relations: 818476
  297. Sat Oct 31 11:59:39 2026 5 relations: 836761
  298. Sat Oct 31 11:59:39 2026 6 relations: 838825
  299. Sat Oct 31 11:59:39 2026 7 relations: 830446
  300. Sat Oct 31 11:59:39 2026 8 relations: 807700
  301. Sat Oct 31 11:59:39 2026 9 relations: 770073
  302. Sat Oct 31 11:59:39 2026 10+ relations: 5134738
  303. Sat Oct 31 11:59:39 2026 heaviest cycle: 28 relations
  304. Sat Oct 31 11:59:39 2026 commencing cycle optimization
  305. Sat Oct 31 12:00:06 2026 start with 110403020 relations
  306. Sat Oct 31 12:04:29 2026 pruned 5135948 relations
  307. Sat Oct 31 12:04:29 2026 memory use: 3087.4 MB
  308. Sat Oct 31 12:04:29 2026 distribution of cycle lengths:
  309. Sat Oct 31 12:04:29 2026 1 relations: 621832
  310. Sat Oct 31 12:04:29 2026 2 relations: 765356
  311. Sat Oct 31 12:04:29 2026 3 relations: 838692
  312. Sat Oct 31 12:04:29 2026 4 relations: 853189
  313. Sat Oct 31 12:04:29 2026 5 relations: 878600
  314. Sat Oct 31 12:04:29 2026 6 relations: 881103
  315. Sat Oct 31 12:04:29 2026 7 relations: 876159
  316. Sat Oct 31 12:04:29 2026 8 relations: 849808
  317. Sat Oct 31 12:04:29 2026 9 relations: 810914
  318. Sat Oct 31 12:04:29 2026 10+ relations: 4833766
  319. Sat Oct 31 12:04:29 2026 heaviest cycle: 28 relations
  320. Sat Oct 31 12:04:39 2026 RelProcTime: 5419
  321. Sat Oct 31 12:04:39 2026
  322. Sat Oct 31 12:04:39 2026 commencing linear algebra
  323. Sat Oct 31 12:04:39 2026 using VBITS=128
  324. Sat Oct 31 12:04:39 2026 building matrices for all densities
  325. Sat Oct 31 12:04:39 2026 found 3 density files
  326. Sat Oct 31 12:04:39 2026 building matrix for density 90
  327. Sat Oct 31 12:04:40 2026 read 13737419 cycles
  328. Sat Oct 31 12:05:03 2026 cycles contain 43682027 unique relations
  329. Sat Oct 31 12:06:41 2026 read 43682027 relations
  330. Sat Oct 31 12:06:54 2026 using 20 quadratic characters above 4294917295
  331. Sat Oct 31 12:07:14 2026 building initial matrix
  332. Sat Oct 31 12:09:18 2026 memory use: 6151.7 MB
  333. Sat Oct 31 12:09:25 2026 read 13737419 cycles
  334. Sat Oct 31 12:09:27 2026 matrix is 13737239 x 13737419 (5124.5 MB) with weight 1586841909 (115.51/col)
  335. Sat Oct 31 12:09:27 2026 sparse part has weight 1178517652 (85.79/col)
  336. Sat Oct 31 12:10:26 2026 filtering completed in 2 passes
  337. Sat Oct 31 12:10:30 2026 matrix is 13734394 x 13734574 (5124.3 MB) with weight 1586723676 (115.53/col)
  338. Sat Oct 31 12:10:30 2026 sparse part has weight 1178482887 (85.80/col)
  339. Sat Oct 31 12:11:14 2026 building matrix for density 110
  340. Sat Oct 31 12:11:15 2026 read 12855419 cycles
  341. Sat Oct 31 12:11:39 2026 cycles contain 43695093 unique relations
  342. Sat Oct 31 12:13:08 2026 read 43695093 relations
  343. Sat Oct 31 12:13:19 2026 using 20 quadratic characters above 4294917295
  344. Sat Oct 31 12:13:39 2026 building initial matrix
  345. Sat Oct 31 12:16:09 2026 memory use: 6136.0 MB
  346. Sat Oct 31 12:16:15 2026 read 12855419 cycles
  347. Sat Oct 31 12:16:17 2026 matrix is 12855239 x 12855419 (5653.8 MB) with weight 1734592159 (134.93/col)
  348. Sat Oct 31 12:16:17 2026 sparse part has weight 1327832045 (103.29/col)
  349. Sat Oct 31 12:17:10 2026 filtering completed in 2 passes
  350. Sat Oct 31 12:17:14 2026 matrix is 12853845 x 12854025 (5653.6 MB) with weight 1734525912 (134.94/col)
  351. Sat Oct 31 12:17:14 2026 sparse part has weight 1327810173 (103.30/col)
  352. Sat Oct 31 12:18:14 2026 building matrix for density 130
  353. Sat Oct 31 12:18:16 2026 read 12209419 cycles
  354. Sat Oct 31 12:18:39 2026 cycles contain 43699339 unique relations
  355. Sat Oct 31 12:22:15 2026 read 43699339 relations
  356. Sat Oct 31 12:22:31 2026 using 20 quadratic characters above 4294917295
  357. Sat Oct 31 12:22:48 2026 building initial matrix
  358. Sat Oct 31 12:25:12 2026 memory use: 6156.9 MB
  359. Sat Oct 31 12:25:19 2026 read 12209419 cycles
  360. Sat Oct 31 12:25:21 2026 matrix is 12209242 x 12209419 (6170.4 MB) with weight 1877121971 (153.74/col)
  361. Sat Oct 31 12:25:21 2026 sparse part has weight 1471009418 (120.48/col)
  362. Sat Oct 31 12:26:18 2026 filtering completed in 2 passes
  363. Sat Oct 31 12:26:22 2026 matrix is 12208728 x 12208905 (6170.3 MB) with weight 1877093545 (153.75/col)
  364. Sat Oct 31 12:26:22 2026 sparse part has weight 1470998737 (120.49/col)
  365. Sat Oct 31 12:27:11 2026 BLanczosTime: 1352
  366. Sat Oct 31 12:27:11 2026 elapsed time 01:52:52
  367. Sat Oct 31 13:41:25 2026
  368. Sat Oct 31 13:41:25 2026
  369. Sat Oct 31 13:41:25 2026 Msieve v. 1.54 (SVN unknown)
  370. Sat Oct 31 13:41:25 2026 random seeds: a4d8552b 30174ab8
  371. Sat Oct 31 13:41:25 2026 Using 8 OpenMP threads
  372. Sat Oct 31 13:41:25 2026 factoring 42243231645140403682405541715762653242228645613665145145511869647139272315941280973896000193266445184276870146828996154946880804366006337022970425697847483400678366982708869106779 (179 digits)
  373. Sat Oct 31 13:41:26 2026 no P-1/P+1/ECM available, skipping
  374. Sat Oct 31 13:41:26 2026 commencing number field sieve (179-digit input)
  375. Sat Oct 31 13:41:26 2026 R0: -52020671930424082825009922953854364
  376. Sat Oct 31 13:41:26 2026 R1: 24155316639634909768679
  377. Sat Oct 31 13:41:26 2026 A0: 2941298789798012182872049430097690422776450
  378. Sat Oct 31 13:41:26 2026 A1: 344249900020900569454630729211156195
  379. Sat Oct 31 13:41:26 2026 A2: -39335267125262158368906278104
  380. Sat Oct 31 13:41:26 2026 A3: -2274994934090158699457
  381. Sat Oct 31 13:41:26 2026 A4: 79608058341552
  382. Sat Oct 31 13:41:26 2026 A5: 665280
  383. Sat Oct 31 13:41:26 2026 skew 25292229.92, size 2.245e-17, alpha -7.580, combined = 1.192e-13 rroots = 5
  384. Sat Oct 31 13:41:26 2026
  385. Sat Oct 31 13:41:26 2026 commencing linear algebra
  386. Sat Oct 31 13:41:26 2026 using VBITS=128
  387. Sat Oct 31 13:41:26 2026 selecting density 110 for linear algebra
  388. Sat Oct 31 13:41:40 2026 matrix starts at (0, 0)
  389. Sat Oct 31 13:41:42 2026 matrix is 12853845 x 12854025 (5653.6 MB) with weight 1734525912 (134.94/col)
  390. Sat Oct 31 13:41:42 2026 sparse part has weight 1327810173 (103.30/col)
  391. Sat Oct 31 13:41:42 2026 saving the first 112 matrix rows for later
  392. Sat Oct 31 13:41:44 2026 matrix includes 128 packed rows
  393. Sat Oct 31 13:41:47 2026 matrix is 12853733 x 12854025 (5248.6 MB) with weight 1316056184 (102.38/col)
  394. Sat Oct 31 13:41:47 2026 sparse part has weight 1221636417 (95.04/col)
  395. Sat Oct 31 13:41:47 2026 using GPU 0 (NVIDIA GeForce RTX 5070)
  396. Sat Oct 31 13:41:47 2026 selected card has CUDA arch 12.0
  397. Sat Oct 31 13:41:48 2026 computed block_nnz 149483756 (L2 cache 50331648 bytes, average column weight 95.0)
  398. Sat Oct 31 13:41:48 2026 nonzeros per matrix block: 149483756
  399. Sat Oct 31 13:41:48 2026 SpMV kernel: auto (by nonzeros per row)
  400. Sat Oct 31 13:41:53 2026 SpMV kernel auto: segscan for 18 of 18 blocks (below 28 nonzeros per row), warpmerge for 0
  401. Sat Oct 31 13:41:53 2026 GPU memory: 11015 MB free, 1373 MB for vectors, 9446 MB for sparse matrix blocks (10239 MB needed)
  402. Sat Oct 31 13:41:53 2026 leaving 1536 MB of GPU memory free while streaming (use max_gpu_mem=N to change)
  403. Sat Oct 31 13:43:07 2026 streaming 6 of 18 matrix blocks (3704 MB) from pinned host memory through 2 619 MB buffers
  404. Sat Oct 31 13:43:07 2026 commencing Lanczos iteration
  405. Sat Oct 31 13:43:18 2026 memory use: 9306.8 MB
  406. Sat Oct 31 13:43:45 2026 linear algebra at 0.2%, ETA 3h 1m
  407. Sat Oct 31 13:43:53 2026 checking every 60000 dimensions, checkpointing every 4080000 dimensions
  408. Sat Oct 31 16:54:29 2026 lanczos halted after 101024 iterations (dim = 12853733)
  409. Sat Oct 31 16:54:50 2026 recovered 31 nontrivial dependencies
  410. Sat Oct 31 16:54:50 2026 matrix transfers: 3703.786 MiB/iteration, 6.00 copies/iteration (101022 measured iterations)
  411. Sat Oct 31 16:54:54 2026 BLanczosTime: 11608
  412. Sat Oct 31 16:54:54 2026
  413. Sat Oct 31 16:54:54 2026 commencing square root phase
  414. Sat Oct 31 16:54:54 2026 handling dependencies 1 to 64
  415. Sat Oct 31 16:54:54 2026 reading relations for dependency 1
  416. Sat Oct 31 16:55:35 2026 read 6424657 cycles
  417. Sat Oct 31 16:55:48 2026 cycles contain 21841238 unique relations
  418. Sat Oct 31 17:02:37 2026 read 21841238 relations
  419. Sat Oct 31 17:02:59 2026 multiplying 21841238 relations
  420. Sat Oct 31 17:04:43 2026 multiply complete, coefficients have about 1288.96 million bits
  421. Sat Oct 31 17:04:46 2026 initial square root is modulo 605257
  422. Sat Oct 31 17:08:08 2026 GCD is N, no factor found
  423. Sat Oct 31 17:08:08 2026 reading relations for dependency 2
  424. Sat Oct 31 17:08:11 2026 read 6430425 cycles
  425. Sat Oct 31 17:08:20 2026 cycles contain 21855368 unique relations
  426. Sat Oct 31 17:08:51 2026 read 21855368 relations
  427. Sat Oct 31 17:09:05 2026 multiplying 21855368 relations
  428. Sat Oct 31 17:10:53 2026 multiply complete, coefficients have about 1289.80 million bits
  429. Sat Oct 31 17:10:52 2026 initial square root is modulo 610553
  430. Sat Oct 31 17:14:17 2026 GCD is 1, no factor found
  431. Sat Oct 31 17:14:17 2026 reading relations for dependency 3
  432. Sat Oct 31 17:14:19 2026 read 6425661 cycles
  433. Sat Oct 31 17:14:27 2026 cycles contain 21847612 unique relations
  434. Sat Oct 31 17:14:43 2026 read 21847612 relations
  435. Sat Oct 31 17:14:58 2026 multiplying 21847612 relations
  436. Sat Oct 31 17:16:45 2026 multiply complete, coefficients have about 1289.34 million bits
  437. Sat Oct 31 17:16:47 2026 initial square root is modulo 607697
  438. Sat Oct 31 17:20:21 2026 GCD is 1, no factor found
  439. Sat Oct 31 17:20:21 2026 reading relations for dependency 4
  440. Sat Oct 31 17:20:22 2026 read 6427682 cycles
  441. Sat Oct 31 17:20:30 2026 cycles contain 21842982 unique relations
  442. Sat Oct 31 17:22:03 2026 read 21842982 relations
  443. Sat Oct 31 17:22:20 2026 multiplying 21842982 relations
  444. Sat Oct 31 17:24:04 2026 multiply complete, coefficients have about 1289.07 million bits
  445. Sat Oct 31 17:24:03 2026 initial square root is modulo 606031
  446. Sat Oct 31 17:27:18 2026 sqrtTime: 1944
  447. Sat Oct 31 17:27:18 2026 p76 factor: 1454339422338227554868631974643125502891816663902073232834388831718298781447
  448. Sat Oct 31 17:27:18 2026 p104 factor: 29046336086539867204371672348674190868901054670810039970718428533555960783328160721572263754606852146957
  449. Sat Oct 31 17:27:18 2026 elapsed time 03:45:53
  450.  
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